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1140	68 61 76 65 20 6e 6f 20 63 6f 6d 6d 6f 6e 20 74 79 70 65 29 0f da 02 6e 70 da 05 61 72 72 61 79	have.no.common.type)...np..array
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11a0	62 6a 65 63 74 44 54 79 70 65 72 19 00 00 00 da 05 65 6d 70 74 79 72 10 00 00 00 da 06 61 70 70	bjectDTyper......emptyr......app
11c0	65 6e 64 72 18 00 00 00 29 0a da 05 61 6c 69 73 74 da 04 74 72 69 6d da 01 61 da 06 61 72 72 61	endr....)...alist..trim..a..arra
11e0	79 73 72 19 00 00 00 da 03 72 65 74 da 01 65 da 0c 6f 62 6a 65 63 74 5f 64 74 79 70 65 da 13 68	ysr......ret..e..object_dtype..h
1200	61 73 5f 6f 6e 65 5f 6f 62 6a 65 63 74 5f 74 79 70 65 da 03 74 6d 70 73 0a 00 00 00 20 20 20 20	as_one_object_type..tmps........
1220	20 20 20 20 20 20 72 14 00 00 00 72 06 00 00 00 72 06 00 00 00 41 00 00 00 73 79 01 00 00 80 00	......r....r....r....A...sy.....
1240	f0 66 01 00 38 3d d6 0d 3d b0 21 8c 62 8f 68 89 68 90 71 a0 01 a8 04 d6 0e 2d d0 0d 3d 80 46 d0	.f..8=..=.!.b.h.h.q......-..=.F.
1260	0d 3d d8 0d 13 f2 00 04 05 3d 88 01 d8 0b 0c 8f 36 89 36 90 51 8a 3b dc 12 1c d0 1d 39 d3 12 3a	.=.......=......6.6.Q.;.....9..:
1280	d0 0c 3a d8 0b 0c 8f 36 89 36 90 51 8b 3b dc 12 1c d0 1d 3b d3 12 3c d0 0c 3c f0 09 04 05 3d f1	..:....6.6.Q.;.....;..<..<....=.
12a0	0a 00 08 0c d8 26 2c d6 11 2d a0 11 94 27 98 21 95 2a d0 11 2d 88 06 d0 11 2d f0 04 11 05 44 01	.....&,..-...'.!.*..-....-....D.
12c0	dc 10 12 97 0e 91 0e a0 06 d0 10 27 88 05 f0 20 00 3d 43 01 d6 0e 43 b0 71 8c 72 8f 78 89 78 98	...........'.....=C...C.q.r.x.x.
12e0	01 a0 04 a8 45 d6 0f 32 d0 0e 43 88 03 d0 0e 43 d8 0b 0e 80 4a f9 f2 37 00 0e 3e f9 f2 0e 00 12	....E..2..C....C....J..7..>.....
1300	2e f9 f2 26 00 0f 44 01 f8 f4 1f 00 0c 15 f2 00 0d 05 4e 01 dc 17 19 97 79 91 79 d7 17 2c d1 17	...&..D...........N.....y.y..,..
1320	2c d3 17 2e 88 0c d8 1e 23 d0 08 1b d8 0e 10 88 03 d8 11 17 f2 00 07 09 25 88 41 d8 0f 10 8f 77	,.......#...............%.A....w
1340	89 77 98 2c d2 0f 26 dc 16 18 97 68 91 68 9c 73 a0 31 9b 76 a8 5c d4 16 3a 90 03 d8 19 1a 99 31	.w.,..&....h.h.s.1.v.\..:......1
1360	98 14 90 03 91 41 90 06 d8 10 13 97 0a 91 0a 98 33 95 0f e0 26 2a d0 10 23 d8 10 13 97 0a 91 0a	.....A..........3...&*..#.......
1380	98 31 9f 36 99 36 9b 38 d5 10 24 f0 0f 07 09 25 f1 10 00 10 23 dc 12 1c d0 1d 45 d3 12 46 c8 41	.1.6.6.8..$....%....#.....E..F.A
13a0	d0 0c 4d f3 03 00 10 23 f0 08 00 0c 0f 80 4a fb f0 21 0d 05 4e 01 fa 73 2a 00 00 00 85 1f 42 35	..M....#......J..!..N..s*.....B5
13c0	04 c1 27 12 42 3a 04 c1 3c 12 43 04 00 c2 12 1f 42 3f 04 c3 04 09 45 39 03 c3 0d 42 21 45 34 03	..'.B:..<.C.....B?....E9...B!E4.
13e0	c5 34 05 45 39 03 63 02 00 00 00 00 00 00 00 00 00 00 00 05 00 00 00 03 00 00 00 f3 f6 00 00 00	.4.E9.c.........................
1400	97 00 7c 01 64 01 6b 02 00 00 72 0b 74 01 00 00 00 00 00 00 00 00 64 02 ab 01 00 00 00 00 00 00	..|.d.k...r.t.........d.........
1420	82 01 74 03 00 00 00 00 00 00 00 00 7c 00 67 01 ab 01 00 00 00 00 00 00 5c 01 00 00 7d 00 74 05	..t.........|.g.........\...}.t.
1440	00 00 00 00 00 00 00 00 6a 06 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 74 05 00 00	........j...................t...
1460	00 00 00 00 00 00 6a 08 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 00 ab 01 00 00	......j...................|.....
1480	00 00 00 00 7c 01 6b 44 00 00 ab 01 00 00 00 00 00 00 5c 01 00 00 7d 02 74 0b 00 00 00 00 00 00	....|.kD..........\...}.t.......
14a0	00 00 7c 02 ab 01 00 00 00 00 00 00 64 01 6b 28 00 00 72 08 7c 00 64 03 64 04 1a 00 64 01 7a 05	..|.........d.k(..r.|.d.d...d.z.
14c0	00 00 53 00 7c 00 64 03 7c 02 64 05 19 00 00 00 64 04 7a 00 00 00 1a 00 6a 0d 00 00 00 00 00 00	..S.|.d.|.d.....d.z.....j.......
14e0	00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 53 00 29 06 61 09 05 00 00 0a 20 20	....................S.).a.......
1500	20 20 52 65 6d 6f 76 65 20 22 73 6d 61 6c 6c 22 20 22 74 72 61 69 6c 69 6e 67 22 20 63 6f 65 66	..Remove."small"."trailing".coef
1520	66 69 63 69 65 6e 74 73 20 66 72 6f 6d 20 61 20 70 6f 6c 79 6e 6f 6d 69 61 6c 2e 0a 0a 20 20 20	ficients.from.a.polynomial......
1540	20 22 53 6d 61 6c 6c 22 20 6d 65 61 6e 73 20 22 73 6d 61 6c 6c 20 69 6e 20 61 62 73 6f 6c 75 74	."Small".means."small.in.absolut
1560	65 20 76 61 6c 75 65 22 20 61 6e 64 20 69 73 20 63 6f 6e 74 72 6f 6c 6c 65 64 20 62 79 20 74 68	e.value".and.is.controlled.by.th
1580	65 0a 20 20 20 20 70 61 72 61 6d 65 74 65 72 20 60 74 6f 6c 60 3b 20 22 74 72 61 69 6c 69 6e 67	e.....parameter.`tol`;."trailing
15a0	22 20 6d 65 61 6e 73 20 68 69 67 68 65 73 74 20 6f 72 64 65 72 20 63 6f 65 66 66 69 63 69 65 6e	".means.highest.order.coefficien
15c0	74 28 73 29 2c 20 65 2e 67 2e 2c 20 69 6e 0a 20 20 20 20 60 60 5b 30 2c 20 31 2c 20 31 2c 20 30	t(s),.e.g.,.in.....``[0,.1,.1,.0
15e0	2c 20 30 5d 60 60 20 28 77 68 69 63 68 20 72 65 70 72 65 73 65 6e 74 73 20 60 60 30 20 2b 20 78	,.0]``.(which.represents.``0.+.x
1600	20 2b 20 78 2a 2a 32 20 2b 20 30 2a 78 2a 2a 33 20 2b 20 30 2a 78 2a 2a 34 60 60 29 0a 20 20 20	.+.x**2.+.0*x**3.+.0*x**4``)....
1620	20 62 6f 74 68 20 74 68 65 20 33 2d 72 64 20 61 6e 64 20 34 2d 74 68 20 6f 72 64 65 72 20 63 6f	.both.the.3-rd.and.4-th.order.co
1640	65 66 66 69 63 69 65 6e 74 73 20 77 6f 75 6c 64 20 62 65 20 22 74 72 69 6d 6d 65 64 2e 22 0a 0a	efficients.would.be."trimmed."..
1660	20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20	....Parameters.....----------...
1680	20 20 63 20 3a 20 61 72 72 61 79 5f 6c 69 6b 65 0a 20 20 20 20 20 20 20 20 31 2d 64 20 61 72 72	..c.:.array_like.........1-d.arr
16a0	61 79 20 6f 66 20 63 6f 65 66 66 69 63 69 65 6e 74 73 2c 20 6f 72 64 65 72 65 64 20 66 72 6f 6d	ay.of.coefficients,.ordered.from
16c0	20 6c 6f 77 65 73 74 20 6f 72 64 65 72 20 74 6f 20 68 69 67 68 65 73 74 2e 0a 20 20 20 20 74 6f	.lowest.order.to.highest......to
16e0	6c 20 3a 20 6e 75 6d 62 65 72 2c 20 6f 70 74 69 6f 6e 61 6c 0a 20 20 20 20 20 20 20 20 54 72 61	l.:.number,.optional.........Tra
1700	69 6c 69 6e 67 20 28 69 2e 65 2e 2c 20 68 69 67 68 65 73 74 20 6f 72 64 65 72 29 20 65 6c 65 6d	iling.(i.e.,.highest.order).elem
1720	65 6e 74 73 20 77 69 74 68 20 61 62 73 6f 6c 75 74 65 20 76 61 6c 75 65 20 6c 65 73 73 0a 20 20	ents.with.absolute.value.less...
1740	20 20 20 20 20 20 74 68 61 6e 20 6f 72 20 65 71 75 61 6c 20 74 6f 20 60 74 6f 6c 60 20 28 64 65	......than.or.equal.to.`tol`.(de
1760	66 61 75 6c 74 20 76 61 6c 75 65 20 69 73 20 7a 65 72 6f 29 20 61 72 65 20 72 65 6d 6f 76 65 64	fault.value.is.zero).are.removed
1780	2e 0a 0a 20 20 20 20 52 65 74 75 72 6e 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 74	.......Returns.....-------.....t
17a0	72 69 6d 6d 65 64 20 3a 20 6e 64 61 72 72 61 79 0a 20 20 20 20 20 20 20 20 31 2d 64 20 61 72 72	rimmed.:.ndarray.........1-d.arr
17c0	61 79 20 77 69 74 68 20 74 72 61 69 6c 69 6e 67 20 7a 65 72 6f 73 20 72 65 6d 6f 76 65 64 2e 20	ay.with.trailing.zeros.removed..
17e0	20 49 66 20 74 68 65 20 72 65 73 75 6c 74 69 6e 67 20 73 65 72 69 65 73 0a 20 20 20 20 20 20 20	.If.the.resulting.series........
1800	20 77 6f 75 6c 64 20 62 65 20 65 6d 70 74 79 2c 20 61 20 73 65 72 69 65 73 20 63 6f 6e 74 61 69	.would.be.empty,.a.series.contai
1820	6e 69 6e 67 20 61 20 73 69 6e 67 6c 65 20 7a 65 72 6f 20 69 73 20 72 65 74 75 72 6e 65 64 2e 0a	ning.a.single.zero.is.returned..
1840	0a 20 20 20 20 52 61 69 73 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 56 61 6c 75 65	.....Raises.....------.....Value
1860	45 72 72 6f 72 0a 20 20 20 20 20 20 20 20 49 66 20 60 74 6f 6c 60 20 3c 20 30 0a 0a 20 20 20 20	Error.........If.`tol`.<.0......
1880	45 78 61 6d 70 6c 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 3e 3e 3e 20 66 72	Examples.....--------.....>>>.fr
18a0	6f 6d 20 6e 75 6d 70 79 2e 70 6f 6c 79 6e 6f 6d 69 61 6c 20 69 6d 70 6f 72 74 20 70 6f 6c 79 75	om.numpy.polynomial.import.polyu
18c0	74 69 6c 73 20 61 73 20 70 75 0a 20 20 20 20 3e 3e 3e 20 70 75 2e 74 72 69 6d 63 6f 65 66 28 28	tils.as.pu.....>>>.pu.trimcoef((
18e0	30 2c 30 2c 33 2c 30 2c 35 2c 30 2c 30 29 29 0a 20 20 20 20 61 72 72 61 79 28 5b 30 2e 2c 20 20	0,0,3,0,5,0,0)).....array([0.,..
1900	30 2e 2c 20 20 33 2e 2c 20 20 30 2e 2c 20 20 35 2e 5d 29 0a 20 20 20 20 3e 3e 3e 20 70 75 2e 74	0.,..3.,..0.,..5.]).....>>>.pu.t
1920	72 69 6d 63 6f 65 66 28 28 30 2c 30 2c 31 65 2d 33 2c 30 2c 31 65 2d 35 2c 30 2c 30 29 2c 31 65	rimcoef((0,0,1e-3,0,1e-5,0,0),1e
1940	2d 33 29 20 23 20 69 74 65 6d 20 3d 3d 20 74 6f 6c 20 69 73 20 74 72 69 6d 6d 65 64 0a 20 20 20	-3).#.item.==.tol.is.trimmed....
1960	20 61 72 72 61 79 28 5b 30 2e 5d 29 0a 20 20 20 20 3e 3e 3e 20 69 20 3d 20 63 6f 6d 70 6c 65 78	.array([0.]).....>>>.i.=.complex
1980	28 30 2c 31 29 20 23 20 77 6f 72 6b 73 20 66 6f 72 20 63 6f 6d 70 6c 65 78 0a 20 20 20 20 3e 3e	(0,1).#.works.for.complex.....>>
19a0	3e 20 70 75 2e 74 72 69 6d 63 6f 65 66 28 28 33 65 2d 34 2c 31 65 2d 33 2a 28 31 2d 69 29 2c 35	>.pu.trimcoef((3e-4,1e-3*(1-i),5
19c0	65 2d 34 2c 32 65 2d 35 2a 28 31 2b 69 29 29 2c 20 31 65 2d 33 29 0a 20 20 20 20 61 72 72 61 79	e-4,2e-5*(1+i)),.1e-3).....array
19e0	28 5b 30 2e 30 30 30 33 2b 30 2e 6a 20 20 20 2c 20 30 2e 30 30 31 20 2d 30 2e 30 30 31 6a 5d 29	([0.0003+0.j...,.0.001.-0.001j])
1a00	0a 0a 20 20 20 20 72 02 00 00 00 7a 18 74 6f 6c 20 6d 75 73 74 20 62 65 20 6e 6f 6e 2d 6e 65 67	......r....z.tol.must.be.non-neg
1a20	61 74 69 76 65 4e 72 0f 00 00 00 72 0e 00 00 00 29 07 72 1e 00 00 00 72 06 00 00 00 72 1b 00 00	ativeNr....r....).r....r....r...
1a40	00 da 07 6e 6f 6e 7a 65 72 6f da 03 61 62 73 72 10 00 00 00 72 18 00 00 00 29 03 da 01 63 da 03	...nonzero..absr....r....)...c..
1a60	74 6f 6c da 03 69 6e 64 73 03 00 00 00 20 20 20 72 14 00 00 00 72 08 00 00 00 72 08 00 00 00 92	tol..inds.......r....r....r.....
1a80	00 00 00 73 79 00 00 00 80 00 f0 50 01 00 08 0b 88 51 82 77 dc 0e 18 d0 19 33 d3 0e 34 d0 08 34	...sy......P.....Q.w.....3..4..4
1aa0	e4 0a 13 90 51 90 43 8b 2e 81 43 80 51 dc 0c 0e 8f 4a 89 4a 94 72 97 76 91 76 98 61 93 79 a0 33	....Q.C...C.Q....J.J.r.v.v.a.y.3
1ac0	91 7f d3 0c 27 81 45 80 53 dc 07 0a 88 33 83 78 90 31 82 7d d8 0f 10 90 12 90 21 88 75 90 71 89	....'.E.S....3.x.1.}......!.u.q.
1ae0	79 d0 08 18 e0 0f 10 90 1c 90 23 90 62 91 27 98 41 91 2b 88 7f d7 0f 23 d1 0f 23 d3 0f 25 d0 08	y.........#.b.'.A.+....#..#..%..
1b00	25 72 15 00 00 00 63 01 00 00 00 00 00 00 00 00 00 00 00 07 00 00 00 03 00 00 00 f3 00 02 00 00	%r....c.........................
1b20	97 00 74 01 00 00 00 00 00 00 00 00 7c 00 67 01 64 01 ac 02 ab 02 00 00 00 00 00 00 5c 01 00 00	..t.........|.g.d...........\...
1b40	7d 00 7c 00 6a 02 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 6a 04 00 00 00 00 00 00	}.|.j...................j.......
1b60	00 00 00 00 00 00 00 00 00 00 00 00 74 06 00 00 00 00 00 00 00 00 6a 08 00 00 00 00 00 00 00 00	............t.........j.........
1b80	00 00 00 00 00 00 00 00 00 00 64 03 19 00 00 00 76 00 72 93 7c 00 6a 0a 00 00 00 00 00 00 00 00	..........d.....v.r.|.j.........
1ba0	00 00 00 00 00 00 00 00 00 00 6a 0d 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00	..........j.....................
1bc0	00 00 00 00 00 00 7c 00 6a 0a 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 6a 0f 00 00	......|.j...................j...
1be0	00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 7d 02 7d 01 7c 00 6a 10	........................}.}.|.j.
1c00	00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 6a 0d 00 00 00 00 00 00 00 00 00 00 00 00	..................j.............
1c20	00 00 00 00 00 00 ab 00 00 00 00 00 00 00 7c 00 6a 10 00 00 00 00 00 00 00 00 00 00 00 00 00 00	..............|.j...............
1c40	00 00 00 00 6a 0f 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00	....j...........................
1c60	7d 04 7d 03 74 07 00 00 00 00 00 00 00 00 6a 12 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00	}.}.t.........j.................
1c80	00 00 74 15 00 00 00 00 00 00 00 00 7c 01 7c 03 ab 02 00 00 00 00 00 00 74 15 00 00 00 00 00 00	..t.........|.|.........t.......
1ca0	00 00 7c 02 7c 04 ab 02 00 00 00 00 00 00 66 02 ab 01 00 00 00 00 00 00 53 00 74 07 00 00 00 00	..|.|.........f.........S.t.....
1cc0	00 00 00 00 6a 12 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 00 6a 0d 00 00 00 00	....j...................|.j.....
1ce0	00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 7c 00 6a 0f 00 00 00 00 00 00	......................|.j.......
1d00	00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 66 02 ab 01 00 00 00 00 00 00 53 00	....................f.........S.
1d20	29 04 61 56 04 00 00 0a 20 20 20 20 52 65 74 75 72 6e 20 61 20 64 6f 6d 61 69 6e 20 73 75 69 74	).aV........Return.a.domain.suit
1d40	61 62 6c 65 20 66 6f 72 20 67 69 76 65 6e 20 61 62 73 63 69 73 73 61 65 2e 0a 0a 20 20 20 20 46	able.for.given.abscissae.......F
1d60	69 6e 64 20 61 20 64 6f 6d 61 69 6e 20 73 75 69 74 61 62 6c 65 20 66 6f 72 20 61 20 70 6f 6c 79	ind.a.domain.suitable.for.a.poly
1d80	6e 6f 6d 69 61 6c 20 6f 72 20 43 68 65 62 79 73 68 65 76 20 73 65 72 69 65 73 0a 20 20 20 20 64	nomial.or.Chebyshev.series.....d
1da0	65 66 69 6e 65 64 20 61 74 20 74 68 65 20 76 61 6c 75 65 73 20 73 75 70 70 6c 69 65 64 2e 0a 0a	efined.at.the.values.supplied...
1dc0	20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20	....Parameters.....----------...
1de0	20 20 78 20 3a 20 61 72 72 61 79 5f 6c 69 6b 65 0a 20 20 20 20 20 20 20 20 31 2d 64 20 61 72 72	..x.:.array_like.........1-d.arr
1e00	61 79 20 6f 66 20 61 62 73 63 69 73 73 61 65 20 77 68 6f 73 65 20 64 6f 6d 61 69 6e 20 77 69 6c	ay.of.abscissae.whose.domain.wil
1e20	6c 20 62 65 20 64 65 74 65 72 6d 69 6e 65 64 2e 0a 0a 20 20 20 20 52 65 74 75 72 6e 73 0a 20 20	l.be.determined.......Returns...
1e40	20 20 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 64 6f 6d 61 69 6e 20 3a 20 6e 64 61 72 72 61 79 0a 20	..-------.....domain.:.ndarray..
1e60	20 20 20 20 20 20 20 31 2d 64 20 61 72 72 61 79 20 63 6f 6e 74 61 69 6e 69 6e 67 20 74 77 6f 20	.......1-d.array.containing.two.
1e80	76 61 6c 75 65 73 2e 20 20 49 66 20 74 68 65 20 69 6e 70 75 74 73 20 61 72 65 20 63 6f 6d 70 6c	values...If.the.inputs.are.compl
1ea0	65 78 2c 20 74 68 65 6e 0a 20 20 20 20 20 20 20 20 74 68 65 20 74 77 6f 20 72 65 74 75 72 6e 65	ex,.then.........the.two.returne
1ec0	64 20 70 6f 69 6e 74 73 20 61 72 65 20 74 68 65 20 6c 6f 77 65 72 20 6c 65 66 74 20 61 6e 64 20	d.points.are.the.lower.left.and.
1ee0	75 70 70 65 72 20 72 69 67 68 74 20 63 6f 72 6e 65 72 73 0a 20 20 20 20 20 20 20 20 6f 66 20 74	upper.right.corners.........of.t
1f00	68 65 20 73 6d 61 6c 6c 65 73 74 20 72 65 63 74 61 6e 67 6c 65 20 28 61 6c 69 67 6e 65 64 20 77	he.smallest.rectangle.(aligned.w
1f20	69 74 68 20 74 68 65 20 61 78 65 73 29 20 69 6e 20 74 68 65 20 63 6f 6d 70 6c 65 78 0a 20 20 20	ith.the.axes).in.the.complex....
1f40	20 20 20 20 20 70 6c 61 6e 65 20 63 6f 6e 74 61 69 6e 69 6e 67 20 74 68 65 20 70 6f 69 6e 74 73	.....plane.containing.the.points
1f60	20 60 78 60 2e 20 49 66 20 74 68 65 20 69 6e 70 75 74 73 20 61 72 65 20 72 65 61 6c 2c 20 74 68	.`x`..If.the.inputs.are.real,.th
1f80	65 6e 20 74 68 65 0a 20 20 20 20 20 20 20 20 74 77 6f 20 70 6f 69 6e 74 73 20 61 72 65 20 74 68	en.the.........two.points.are.th
1fa0	65 20 65 6e 64 73 20 6f 66 20 74 68 65 20 73 6d 61 6c 6c 65 73 74 20 69 6e 74 65 72 76 61 6c 20	e.ends.of.the.smallest.interval.
1fc0	63 6f 6e 74 61 69 6e 69 6e 67 20 74 68 65 0a 20 20 20 20 20 20 20 20 70 6f 69 6e 74 73 20 60 78	containing.the.........points.`x
1fe0	60 2e 0a 0a 20 20 20 20 53 65 65 20 41 6c 73 6f 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20	`.......See.Also.....--------...
2000	20 20 6d 61 70 70 61 72 6d 73 2c 20 6d 61 70 64 6f 6d 61 69 6e 0a 0a 20 20 20 20 45 78 61 6d 70	..mapparms,.mapdomain......Examp
2020	6c 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 3e 3e 3e 20 69 6d 70 6f 72 74 20	les.....--------.....>>>.import.
2040	6e 75 6d 70 79 20 61 73 20 6e 70 0a 20 20 20 20 3e 3e 3e 20 66 72 6f 6d 20 6e 75 6d 70 79 2e 70	numpy.as.np.....>>>.from.numpy.p
2060	6f 6c 79 6e 6f 6d 69 61 6c 20 69 6d 70 6f 72 74 20 70 6f 6c 79 75 74 69 6c 73 20 61 73 20 70 75	olynomial.import.polyutils.as.pu
2080	0a 20 20 20 20 3e 3e 3e 20 70 6f 69 6e 74 73 20 3d 20 6e 70 2e 61 72 61 6e 67 65 28 34 29 2a 2a	.....>>>.points.=.np.arange(4)**
20a0	32 20 2d 20 35 3b 20 70 6f 69 6e 74 73 0a 20 20 20 20 61 72 72 61 79 28 5b 2d 35 2c 20 2d 34 2c	2.-.5;.points.....array([-5,.-4,
20c0	20 2d 31 2c 20 20 34 5d 29 0a 20 20 20 20 3e 3e 3e 20 70 75 2e 67 65 74 64 6f 6d 61 69 6e 28 70	.-1,..4]).....>>>.pu.getdomain(p
20e0	6f 69 6e 74 73 29 0a 20 20 20 20 61 72 72 61 79 28 5b 2d 35 2e 2c 20 20 34 2e 5d 29 0a 20 20 20	oints).....array([-5.,..4.])....
2100	20 3e 3e 3e 20 63 20 3d 20 6e 70 2e 65 78 70 28 63 6f 6d 70 6c 65 78 28 30 2c 31 29 2a 6e 70 2e	.>>>.c.=.np.exp(complex(0,1)*np.
2120	70 69 2a 6e 70 2e 61 72 61 6e 67 65 28 31 32 29 2f 36 29 20 23 20 75 6e 69 74 20 63 69 72 63 6c	pi*np.arange(12)/6).#.unit.circl
2140	65 0a 20 20 20 20 3e 3e 3e 20 70 75 2e 67 65 74 64 6f 6d 61 69 6e 28 63 29 0a 20 20 20 20 61 72	e.....>>>.pu.getdomain(c).....ar
2160	72 61 79 28 5b 2d 31 2e 2d 31 2e 6a 2c 20 20 31 2e 2b 31 2e 6a 5d 29 0a 0a 20 20 20 20 46 a9 01	ray([-1.-1.j,..1.+1.j])......F..
2180	72 27 00 00 00 da 07 43 6f 6d 70 6c 65 78 29 0b 72 06 00 00 00 72 19 00 00 00 da 04 63 68 61 72	r'.....Complex).r....r......char
21a0	72 1b 00 00 00 da 09 74 79 70 65 63 6f 64 65 73 da 04 72 65 61 6c da 03 6d 69 6e da 03 6d 61 78	r......typecodes..real..min..max
21c0	da 04 69 6d 61 67 72 1c 00 00 00 da 07 63 6f 6d 70 6c 65 78 29 05 da 01 78 da 04 72 6d 69 6e da	..imagr......complex)...x..rmin.
21e0	04 72 6d 61 78 da 04 69 6d 69 6e da 04 69 6d 61 78 73 05 00 00 00 20 20 20 20 20 72 14 00 00 00	.rmax..imin..imaxs.........r....
2200	72 09 00 00 00 72 09 00 00 00 c4 00 00 00 73 aa 00 00 00 80 00 f4 4e 01 00 0b 14 90 51 90 43 98	r....r........s.......N.....Q.C.
2220	65 d4 0a 24 81 43 80 51 d8 07 08 87 77 81 77 87 7c 81 7c 94 72 97 7c 91 7c a0 49 d1 17 2e d1 07	e..$.C.Q....w.w.|.|.r.|.|.I.....
2240	2e d8 15 16 97 56 91 56 97 5a 91 5a 93 5c a0 31 a7 36 a1 36 a7 3a a1 3a a3 3c 88 64 88 04 d8 15	.....V.V.Z.Z.\.1.6.6.:.:.<.d....
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22c0	00 00 63 02 00 00 00 00 00 00 00 00 00 00 00 04 00 00 00 03 00 00 00 f3 74 00 00 00 97 00 7c 00	..c.....................t.....|.
22e0	64 01 19 00 00 00 7c 00 64 02 19 00 00 00 7a 0a 00 00 7d 02 7c 01 64 01 19 00 00 00 7c 01 64 02	d.....|.d.....z...}.|.d.....|.d.
2300	19 00 00 00 7a 0a 00 00 7d 03 7c 00 64 01 19 00 00 00 7c 01 64 02 19 00 00 00 7a 05 00 00 7c 00	....z...}.|.d.....|.d.....z...|.
2320	64 02 19 00 00 00 7c 01 64 01 19 00 00 00 7a 05 00 00 7a 0a 00 00 7c 02 7a 0b 00 00 7d 04 7c 03	d.....|.d.....z...z...|.z...}.|.
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2440	72 61 79 5f 6c 69 6b 65 0a 20 20 20 20 20 20 20 20 44 6f 6d 61 69 6e 73 2e 20 45 61 63 68 20 64	ray_like.........Domains..Each.d
2460	6f 6d 61 69 6e 20 6d 75 73 74 20 28 73 75 63 63 65 73 73 66 75 6c 6c 79 29 20 63 6f 6e 76 65 72	omain.must.(successfully).conver
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2540	73 65 63 6f 6e 64 2e 0a 0a 20 20 20 20 53 65 65 20 41 6c 73 6f 0a 20 20 20 20 2d 2d 2d 2d 2d 2d	second.......See.Also.....------
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2580	20 4e 6f 74 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 0a 20 20 20 20 41 6c 73 6f 20 77 6f 72 6b 73 20	.Notes.....-----.....Also.works.
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2620	74 68 65 72 0a 20 20 20 20 6c 69 6e 65 20 74 68 65 72 65 69 6e 2e 0a 0a 20 20 20 20 45 78 61 6d	ther.....line.therein.......Exam
2640	70 6c 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 3e 3e 3e 20 66 72 6f 6d 20 6e	ples.....--------.....>>>.from.n
2660	75 6d 70 79 2e 70 6f 6c 79 6e 6f 6d 69 61 6c 20 69 6d 70 6f 72 74 20 70 6f 6c 79 75 74 69 6c 73	umpy.polynomial.import.polyutils
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2b60	0a 0a 20 20 20 20 53 65 65 20 41 6c 73 6f 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20	......See.Also.....--------.....
2b80	67 65 74 64 6f 6d 61 69 6e 2c 20 6d 61 70 70 61 72 6d 73 0a 0a 20 20 20 20 4e 6f 74 65 73 0a 20	getdomain,.mapparms......Notes..
2ba0	20 20 20 2d 2d 2d 2d 2d 0a 20 20 20 20 45 66 66 65 63 74 69 76 65 6c 79 2c 20 74 68 69 73 20 69	...-----.....Effectively,.this.i
2bc0	6d 70 6c 65 6d 65 6e 74 73 3a 0a 0a 20 20 20 20 2e 2e 20 6d 61 74 68 3a 3a 0a 20 20 20 20 20 20	mplements:.........math::.......
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2c00	29 0a 0a 20 20 20 20 77 68 65 72 65 0a 0a 20 20 20 20 2e 2e 20 6d 61 74 68 3a 3a 0a 20 20 20 20	)......where.........math::.....
2c20	20 20 20 20 6d 20 3d 20 5c 66 72 61 63 7b 6e 65 77 5b 31 5d 2d 6e 65 77 5b 30 5d 7d 7b 6f 6c 64	....m.=.\frac{new[1]-new[0]}{old
2c40	5b 31 5d 2d 6f 6c 64 5b 30 5d 7d 0a 0a 20 20 20 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 2d 2d	[1]-old[0]}......Examples.....--
2c60	2d 2d 2d 2d 2d 2d 0a 20 20 20 20 3e 3e 3e 20 69 6d 70 6f 72 74 20 6e 75 6d 70 79 20 61 73 20 6e	------.....>>>.import.numpy.as.n
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2ca0	69 6d 70 6f 72 74 20 70 6f 6c 79 75 74 69 6c 73 20 61 73 20 70 75 0a 20 20 20 20 3e 3e 3e 20 6f	import.polyutils.as.pu.....>>>.o
2cc0	6c 64 5f 64 6f 6d 61 69 6e 20 3d 20 28 2d 31 2c 31 29 0a 20 20 20 20 3e 3e 3e 20 6e 65 77 5f 64	ld_domain.=.(-1,1).....>>>.new_d
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2d00	6e 70 2e 6c 69 6e 73 70 61 63 65 28 2d 31 2c 31 2c 36 29 3b 20 78 0a 20 20 20 20 61 72 72 61 79	np.linspace(-1,1,6);.x.....array
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2d60	61 69 6e 28 78 2c 20 6f 6c 64 5f 64 6f 6d 61 69 6e 2c 20 6e 65 77 5f 64 6f 6d 61 69 6e 29 3b 20	ain(x,.old_domain,.new_domain);.
2d80	78 5f 6f 75 74 0a 20 20 20 20 61 72 72 61 79 28 5b 20 30 2e 20 20 20 20 20 20 20 20 2c 20 20 31	x_out.....array([.0.........,..1
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2e00	2d 20 70 75 2e 6d 61 70 64 6f 6d 61 69 6e 28 78 5f 6f 75 74 2c 20 6e 65 77 5f 64 6f 6d 61 69 6e	-.pu.mapdomain(x_out,.new_domain
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2e60	73 20 66 6f 72 20 63 6f 6d 70 6c 65 78 20 6e 75 6d 62 65 72 73 20 28 61 6e 64 20 74 68 75 73 20	s.for.complex.numbers.(and.thus.
2e80	63 61 6e 20 62 65 20 75 73 65 64 20 74 6f 20 6d 61 70 20 61 6e 79 20 6c 69 6e 65 20 69 6e 0a 20	can.be.used.to.map.any.line.in..
2ea0	20 20 20 74 68 65 20 63 6f 6d 70 6c 65 78 20 70 6c 61 6e 65 20 74 6f 20 61 6e 79 20 6f 74 68 65	...the.complex.plane.to.any.othe
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2fc0	7a 2c 20 6f 6c 64 2c 20 6e 65 77 29 3b 20 6e 65 77 5f 7a 0a 20 20 20 20 61 72 72 61 79 28 5b 2d	z,.old,.new);.new_z.....array([-
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31c0	6e 74 68 5f 73 6c 69 63 65 72 59 00 00 00 68 01 00 00 73 29 00 00 00 80 00 dc 0a 0c 8f 2a 89 2a	nth_slicerY...h...s).........*.*
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3220	00 87 01 87 02 87 04 97 00 74 01 00 00 00 00 00 00 00 00 89 00 ab 01 00 00 00 00 00 00 8a 04 89	.........t......................
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3260	00 00 00 00 00 64 01 89 04 9b 00 64 02 74 01 00 00 00 00 00 00 00 00 89 01 ab 01 00 00 00 00 00	.....d.....d.t..................
3280	00 9b 00 9d 04 ab 01 00 00 00 00 00 00 82 01 89 04 74 01 00 00 00 00 00 00 00 00 89 02 ab 01 00	.................t..............
32a0	00 00 00 00 00 6b 37 00 00 72 1a 74 03 00 00 00 00 00 00 00 00 64 01 89 04 9b 00 64 03 74 01 00	.....k7..r.t.........d.....d.t..
32c0	00 00 00 00 00 00 00 89 02 ab 01 00 00 00 00 00 00 9b 00 9d 04 ab 01 00 00 00 00 00 00 82 01 89	................................
32e0	04 64 04 6b 28 00 00 72 0b 74 03 00 00 00 00 00 00 00 00 64 05 ab 01 00 00 00 00 00 00 82 01 74	.d.k(..r.t.........d...........t
3300	05 00 00 00 00 00 00 00 00 74 07 00 00 00 00 00 00 00 00 6a 08 00 00 00 00 00 00 00 00 00 00 00	.........t.........j............
3320	00 00 00 00 00 00 00 74 05 00 00 00 00 00 00 00 00 89 01 ab 01 00 00 00 00 00 00 ab 01 00 00 00	.......t........................
3340	00 00 00 64 06 7a 00 00 00 ab 01 00 00 00 00 00 00 8a 01 88 02 88 04 88 01 88 00 66 04 64 07 84	...d.z.....................f.d..
3360	08 74 0b 00 00 00 00 00 00 00 00 89 04 ab 01 00 00 00 00 00 00 44 00 ab 00 00 00 00 00 00 00 7d	.t...................D.........}
3380	03 74 0d 00 00 00 00 00 00 00 00 6a 0e 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 74	.t.........j...................t
33a0	10 00 00 00 00 00 00 00 00 6a 12 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 03 ab	.........j...................|..
33c0	02 00 00 00 00 00 00 53 00 29 08 61 6d 06 00 00 0a 20 20 20 20 41 20 67 65 6e 65 72 61 6c 69 7a	.......S.).am........A.generaliz
33e0	61 74 69 6f 6e 20 6f 66 20 74 68 65 20 56 61 6e 64 65 72 6d 6f 6e 64 65 20 6d 61 74 72 69 78 20	ation.of.the.Vandermonde.matrix.
3400	66 6f 72 20 4e 20 64 69 6d 65 6e 73 69 6f 6e 73 0a 0a 20 20 20 20 54 68 65 20 72 65 73 75 6c 74	for.N.dimensions......The.result
3420	20 69 73 20 62 75 69 6c 74 20 62 79 20 63 6f 6d 62 69 6e 69 6e 67 20 74 68 65 20 72 65 73 75 6c	.is.built.by.combining.the.resul
3440	74 73 20 6f 66 20 31 64 20 56 61 6e 64 65 72 6d 6f 6e 64 65 20 6d 61 74 72 69 63 65 73 2c 0a 0a	ts.of.1d.Vandermonde.matrices,..
3460	20 20 20 20 2e 2e 20 6d 61 74 68 3a 3a 0a 20 20 20 20 20 20 20 20 57 5b 69 5f 30 2c 20 5c 6c 64	.......math::.........W[i_0,.\ld
3480	6f 74 73 2c 20 69 5f 4d 2c 20 6a 5f 30 2c 20 5c 6c 64 6f 74 73 2c 20 6a 5f 4e 5d 20 3d 20 5c 70	ots,.i_M,.j_0,.\ldots,.j_N].=.\p
34a0	72 6f 64 5f 7b 6b 3d 30 7d 5e 4e 7b 56 5f 6b 28 78 5f 6b 29 5b 69 5f 30 2c 20 5c 6c 64 6f 74 73	rod_{k=0}^N{V_k(x_k)[i_0,.\ldots
34c0	2c 20 69 5f 4d 2c 20 6a 5f 6b 5d 7d 0a 0a 20 20 20 20 77 68 65 72 65 0a 0a 20 20 20 20 2e 2e 20	,.i_M,.j_k]}......where.........
34e0	6d 61 74 68 3a 3a 0a 20 20 20 20 20 20 20 20 4e 20 26 3d 20 5c 74 65 78 74 74 74 7b 6c 65 6e 28	math::.........N.&=.\texttt{len(
3500	70 6f 69 6e 74 73 29 7d 20 3d 20 5c 74 65 78 74 74 74 7b 6c 65 6e 28 64 65 67 72 65 65 73 29 7d	points)}.=.\texttt{len(degrees)}
3520	20 3d 20 5c 74 65 78 74 74 74 7b 6c 65 6e 28 76 61 6e 64 65 72 5c 5f 66 73 29 7d 20 5c 5c 0a 20	.=.\texttt{len(vander\_fs)}.\\..
3540	20 20 20 20 20 20 20 4d 20 26 3d 20 5c 74 65 78 74 74 74 7b 70 6f 69 6e 74 73 5b 6b 5d 2e 6e 64	.......M.&=.\texttt{points[k].nd
3560	69 6d 7d 20 5c 5c 0a 20 20 20 20 20 20 20 20 56 5f 6b 20 26 3d 20 5c 74 65 78 74 74 74 7b 76 61	im}.\\.........V_k.&=.\texttt{va
3580	6e 64 65 72 5c 5f 66 73 5b 6b 5d 7d 20 5c 5c 0a 20 20 20 20 20 20 20 20 78 5f 6b 20 26 3d 20 5c	nder\_fs[k]}.\\.........x_k.&=.\
35a0	74 65 78 74 74 74 7b 70 6f 69 6e 74 73 5b 6b 5d 7d 20 5c 5c 0a 20 20 20 20 20 20 20 20 30 20 5c	texttt{points[k]}.\\.........0.\
35c0	6c 65 20 6a 5f 6b 20 26 5c 6c 65 20 5c 74 65 78 74 74 74 7b 64 65 67 72 65 65 73 5b 6b 5d 7d 0a	le.j_k.&\le.\texttt{degrees[k]}.
35e0	0a 20 20 20 20 45 78 70 61 6e 64 69 6e 67 20 74 68 65 20 6f 6e 65 2d 64 69 6d 65 6e 73 69 6f 6e	.....Expanding.the.one-dimension
3600	61 6c 20 3a 6d 61 74 68 3a 60 56 5f 6b 60 20 66 75 6e 63 74 69 6f 6e 73 20 67 69 76 65 73 3a 0a	al.:math:`V_k`.functions.gives:.
3620	0a 20 20 20 20 2e 2e 20 6d 61 74 68 3a 3a 0a 20 20 20 20 20 20 20 20 57 5b 69 5f 30 2c 20 5c 6c	........math::.........W[i_0,.\l
3640	64 6f 74 73 2c 20 69 5f 4d 2c 20 6a 5f 30 2c 20 5c 6c 64 6f 74 73 2c 20 6a 5f 4e 5d 20 3d 20 5c	dots,.i_M,.j_0,.\ldots,.j_N].=.\
3660	70 72 6f 64 5f 7b 6b 3d 30 7d 5e 4e 7b 42 5f 7b 6b 2c 20 6a 5f 6b 7d 28 78 5f 6b 5b 69 5f 30 2c	prod_{k=0}^N{B_{k,.j_k}(x_k[i_0,
3680	20 5c 6c 64 6f 74 73 2c 20 69 5f 4d 5d 29 7d 0a 0a 20 20 20 20 77 68 65 72 65 20 3a 6d 61 74 68	.\ldots,.i_M])}......where.:math
36a0	3a 60 42 5f 7b 6b 2c 6d 7d 60 20 69 73 20 74 68 65 20 6d 27 74 68 20 62 61 73 69 73 20 6f 66 20	:`B_{k,m}`.is.the.m'th.basis.of.
36c0	74 68 65 20 70 6f 6c 79 6e 6f 6d 69 61 6c 20 63 6f 6e 73 74 72 75 63 74 69 6f 6e 20 75 73 65 64	the.polynomial.construction.used
36e0	20 61 6c 6f 6e 67 0a 20 20 20 20 64 69 6d 65 6e 73 69 6f 6e 20 3a 6d 61 74 68 3a 60 6b 60 2e 20	.along.....dimension.:math:`k`..
3700	46 6f 72 20 61 20 72 65 67 75 6c 61 72 20 70 6f 6c 79 6e 6f 6d 69 61 6c 2c 20 3a 6d 61 74 68 3a	For.a.regular.polynomial,.:math:
3720	60 42 5f 7b 6b 2c 20 6d 7d 28 78 29 20 3d 20 50 5f 6d 28 78 29 20 3d 20 78 5e 6d 60 2e 0a 0a 20	`B_{k,.m}(x).=.P_m(x).=.x^m`....
3740	20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20	...Parameters.....----------....
3760	20 76 61 6e 64 65 72 5f 66 73 20 3a 20 53 65 71 75 65 6e 63 65 5b 66 75 6e 63 74 69 6f 6e 28 61	.vander_fs.:.Sequence[function(a
3780	72 72 61 79 5f 6c 69 6b 65 2c 20 69 6e 74 29 20 2d 3e 20 6e 64 61 72 72 61 79 5d 0a 20 20 20 20	rray_like,.int).->.ndarray].....
37a0	20 20 20 20 54 68 65 20 31 64 20 76 61 6e 64 65 72 20 66 75 6e 63 74 69 6f 6e 20 74 6f 20 75 73	....The.1d.vander.function.to.us
37c0	65 20 66 6f 72 20 65 61 63 68 20 61 78 69 73 2c 20 73 75 63 68 20 61 73 20 60 60 70 6f 6c 79 76	e.for.each.axis,.such.as.``polyv
37e0	61 6e 64 65 72 60 60 0a 20 20 20 20 70 6f 69 6e 74 73 20 3a 20 53 65 71 75 65 6e 63 65 5b 61 72	ander``.....points.:.Sequence[ar
3800	72 61 79 5f 6c 69 6b 65 5d 0a 20 20 20 20 20 20 20 20 41 72 72 61 79 73 20 6f 66 20 70 6f 69 6e	ray_like].........Arrays.of.poin
3820	74 20 63 6f 6f 72 64 69 6e 61 74 65 73 2c 20 61 6c 6c 20 6f 66 20 74 68 65 20 73 61 6d 65 20 73	t.coordinates,.all.of.the.same.s
3840	68 61 70 65 2e 20 54 68 65 20 64 74 79 70 65 73 0a 20 20 20 20 20 20 20 20 77 69 6c 6c 20 62 65	hape..The.dtypes.........will.be
3860	20 63 6f 6e 76 65 72 74 65 64 20 74 6f 20 65 69 74 68 65 72 20 66 6c 6f 61 74 36 34 20 6f 72 20	.converted.to.either.float64.or.
3880	63 6f 6d 70 6c 65 78 31 32 38 20 64 65 70 65 6e 64 69 6e 67 20 6f 6e 0a 20 20 20 20 20 20 20 20	complex128.depending.on.........
38a0	77 68 65 74 68 65 72 20 61 6e 79 20 6f 66 20 74 68 65 20 65 6c 65 6d 65 6e 74 73 20 61 72 65 20	whether.any.of.the.elements.are.
38c0	63 6f 6d 70 6c 65 78 2e 20 53 63 61 6c 61 72 73 20 61 72 65 20 63 6f 6e 76 65 72 74 65 64 20 74	complex..Scalars.are.converted.t
38e0	6f 0a 20 20 20 20 20 20 20 20 31 2d 44 20 61 72 72 61 79 73 2e 0a 20 20 20 20 20 20 20 20 54 68	o.........1-D.arrays..........Th
3900	69 73 20 6d 75 73 74 20 62 65 20 74 68 65 20 73 61 6d 65 20 6c 65 6e 67 74 68 20 61 73 20 60 76	is.must.be.the.same.length.as.`v
3920	61 6e 64 65 72 5f 66 73 60 2e 0a 20 20 20 20 64 65 67 72 65 65 73 20 3a 20 53 65 71 75 65 6e 63	ander_fs`......degrees.:.Sequenc
3940	65 5b 69 6e 74 5d 0a 20 20 20 20 20 20 20 20 54 68 65 20 6d 61 78 69 6d 75 6d 20 64 65 67 72 65	e[int].........The.maximum.degre
3960	65 20 28 69 6e 63 6c 75 73 69 76 65 29 20 74 6f 20 75 73 65 20 66 6f 72 20 65 61 63 68 20 61 78	e.(inclusive).to.use.for.each.ax
3980	69 73 2e 0a 20 20 20 20 20 20 20 20 54 68 69 73 20 6d 75 73 74 20 62 65 20 74 68 65 20 73 61 6d	is..........This.must.be.the.sam
39a0	65 20 6c 65 6e 67 74 68 20 61 73 20 60 76 61 6e 64 65 72 5f 66 73 60 2e 0a 0a 20 20 20 20 52 65	e.length.as.`vander_fs`.......Re
39c0	74 75 72 6e 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 76 61 6e 64 65 72 5f 6e 64 20	turns.....-------.....vander_nd.
39e0	3a 20 6e 64 61 72 72 61 79 0a 20 20 20 20 20 20 20 20 41 6e 20 61 72 72 61 79 20 6f 66 20 73 68	:.ndarray.........An.array.of.sh
3a00	61 70 65 20 60 60 70 6f 69 6e 74 73 5b 30 5d 2e 73 68 61 70 65 20 2b 20 74 75 70 6c 65 28 64 20	ape.``points[0].shape.+.tuple(d.
3a20	2b 20 31 20 66 6f 72 20 64 20 69 6e 20 64 65 67 72 65 65 73 29 60 60 2e 0a 20 20 20 20 7a 09 45	+.1.for.d.in.degrees)``......z.E
3a40	78 70 65 63 74 65 64 20 7a 22 20 64 69 6d 65 6e 73 69 6f 6e 73 20 6f 66 20 73 61 6d 70 6c 65 20	xpected.z".dimensions.of.sample.
3a60	70 6f 69 6e 74 73 2c 20 67 6f 74 20 7a 1c 20 64 69 6d 65 6e 73 69 6f 6e 73 20 6f 66 20 64 65 67	points,.got.z..dimensions.of.deg
3a80	72 65 65 73 2c 20 67 6f 74 20 72 02 00 00 00 7a 39 55 6e 61 62 6c 65 20 74 6f 20 67 75 65 73 73	rees,.got.r....z9Unable.to.guess
3aa0	20 61 20 64 74 79 70 65 20 6f 72 20 73 68 61 70 65 20 77 68 65 6e 20 6e 6f 20 70 6f 69 6e 74 73	.a.dtype.or.shape.when.no.points
3ac0	20 61 72 65 20 67 69 76 65 6e e7 00 00 00 00 00 00 00 00 63 01 00 00 00 00 00 00 00 00 00 00 00	.are.given.........c............
3ae0	07 00 00 00 33 00 00 00 f3 62 00 00 00 95 04 4b 00 01 00 97 00 7c 00 5d 26 00 00 7d 01 02 00 89	....3....b.....K.....|.]&..}....
3b00	05 7c 01 19 00 00 00 89 04 7c 01 19 00 00 00 89 02 7c 01 19 00 00 00 ab 02 00 00 00 00 00 00 64	.|.......|.......|.............d
3b20	00 74 01 00 00 00 00 00 00 00 00 7c 01 89 03 ab 02 00 00 00 00 00 00 7a 00 00 00 19 00 00 00 96	.t.........|...........z........
3b40	01 97 01 01 00 8c 28 04 00 79 01 ad 03 77 01 29 02 29 01 2e 4e 29 01 72 59 00 00 00 29 06 da 02	......(..y...w.).)..N).rY...)...
3b60	2e 30 72 13 00 00 00 da 07 64 65 67 72 65 65 73 da 06 6e 5f 64 69 6d 73 da 06 70 6f 69 6e 74 73	.0r......degrees..n_dims..points
3b80	da 09 76 61 6e 64 65 72 5f 66 73 73 06 00 00 00 20 20 80 80 80 80 72 14 00 00 00 fa 09 3c 67 65	..vander_fss..........r......<ge
3ba0	6e 65 78 70 72 3e 7a 1d 5f 76 61 6e 64 65 72 5f 6e 64 2e 3c 6c 6f 63 61 6c 73 3e 2e 3c 67 65 6e	nexpr>z._vander_nd.<locals>.<gen
3bc0	65 78 70 72 3e aa 01 00 00 73 3f 00 00 00 f8 e8 00 f8 80 00 f2 00 03 15 06 e0 0c 0d f0 03 00 09	expr>....s?.....................
3be0	15 88 09 90 21 89 0c 90 56 98 41 91 59 a0 07 a8 01 a1 0a d3 08 2b a8 46 b4 5a c0 01 c0 36 d3 35	....!...V.A.Y........+.F.Z...6.5
3c00	4a d1 2c 4a d5 08 4b f1 03 03 15 06 f9 73 04 00 00 00 83 2c 2f 01 29 0a 72 10 00 00 00 72 1e 00	J.,J..K......s.....,/.).r....r..
3c20	00 00 72 57 00 00 00 72 1b 00 00 00 da 07 61 73 61 72 72 61 79 72 11 00 00 00 da 09 66 75 6e 63	..rW...r......asarrayr......func
3c40	74 6f 6f 6c 73 da 06 72 65 64 75 63 65 da 08 6f 70 65 72 61 74 6f 72 da 03 6d 75 6c 29 05 72 61	tools..reduce..operator..mul).ra
3c60	00 00 00 72 60 00 00 00 72 5e 00 00 00 da 0d 76 61 6e 64 65 72 5f 61 72 72 61 79 73 72 5f 00 00	...r`...r^.....vander_arraysr_..
3c80	00 73 05 00 00 00 60 60 60 20 40 72 14 00 00 00 da 0a 5f 76 61 6e 64 65 72 5f 6e 64 72 69 00 00	.s....```.@r......_vander_ndri..
3ca0	00 6e 01 00 00 73 cc 00 00 00 fb 80 00 f4 5a 01 00 0e 11 90 19 8b 5e 80 46 d8 07 0d 94 13 90 56	.n...s........Z.......^.F......V
3cc0	93 1b d2 07 1c dc 0e 18 d8 0e 17 98 06 90 78 d0 1f 41 c4 23 c0 66 c3 2b c0 1d d0 0c 4f f3 03 01	..............x..A.#.f.+....O...
3ce0	0f 51 01 f0 00 01 09 51 01 e0 07 0d 94 13 90 57 93 1c d2 07 1d dc 0e 18 d8 0e 17 98 06 90 78 d0	.Q.....Q.......W..............x.
3d00	1f 3b bc 43 c0 07 bb 4c b8 3e d0 0c 4a f3 03 01 0f 4c 01 f0 00 01 09 4c 01 e0 07 0d 90 11 82 7b	.;.C...L.>..J....L.....L.......{
3d20	dc 0e 18 d0 19 54 d3 0e 55 d0 08 55 f4 06 00 0e 13 94 32 97 3a 91 3a 9c 65 a0 46 9b 6d d3 13 2c	.....T..U..U......2.:.:.e.F.m..,
3d40	a8 73 d1 13 32 d3 0d 33 80 46 f6 08 03 15 06 e4 11 16 90 76 93 1d f4 05 03 15 06 80 4d f4 0c 00	.s..2..3.F.........v........M...
3d60	0c 15 d7 0b 1b d1 0b 1b 9c 48 9f 4c 99 4c a8 2d d3 0b 38 d0 04 38 72 15 00 00 00 63 03 00 00 00	.........H.L.L.-..8..8r....c....
3d80	00 00 00 00 00 00 00 00 07 00 00 00 03 00 00 00 f3 72 00 00 00 97 00 74 01 00 00 00 00 00 00 00	.................r.....t........
3da0	00 7c 00 7c 01 7c 02 ab 03 00 00 00 00 00 00 7d 03 7c 03 6a 03 00 00 00 00 00 00 00 00 00 00 00	.|.|.|.........}.|.j............
3dc0	00 00 00 00 00 00 00 7c 03 6a 04 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 01 74	.......|.j...................d.t
3de0	07 00 00 00 00 00 00 00 00 7c 02 ab 01 00 00 00 00 00 00 0b 00 1a 00 64 02 7a 00 00 00 ab 01 00	.........|.............d.z......
3e00	00 00 00 00 00 53 00 29 03 7a 9d 0a 20 20 20 20 4c 69 6b 65 20 60 5f 76 61 6e 64 65 72 5f 6e 64	.....S.).z......Like.`_vander_nd
3e20	60 2c 20 62 75 74 20 66 6c 61 74 74 65 6e 73 20 74 68 65 20 6c 61 73 74 20 60 60 6c 65 6e 28 64	`,.but.flattens.the.last.``len(d
3e40	65 67 72 65 65 73 29 60 60 20 61 78 65 73 20 69 6e 74 6f 20 61 20 73 69 6e 67 6c 65 20 61 78 69	egrees)``.axes.into.a.single.axi
3e60	73 0a 0a 20 20 20 20 55 73 65 64 20 74 6f 20 69 6d 70 6c 65 6d 65 6e 74 20 74 68 65 20 70 75 62	s......Used.to.implement.the.pub
3e80	6c 69 63 20 60 60 3c 74 79 70 65 3e 76 61 6e 64 65 72 3c 6e 3e 64 60 60 20 66 75 6e 63 74 69 6f	lic.``<type>vander<n>d``.functio
3ea0	6e 73 2e 0a 20 20 20 20 4e 29 01 72 0e 00 00 00 29 04 72 69 00 00 00 da 07 72 65 73 68 61 70 65	ns......N).r....).ri.....reshape
3ec0	da 05 73 68 61 70 65 72 10 00 00 00 29 04 72 61 00 00 00 72 60 00 00 00 72 5e 00 00 00 da 01 76	..shaper....).ra...r`...r^.....v
3ee0	73 04 00 00 00 20 20 20 20 72 14 00 00 00 da 0f 5f 76 61 6e 64 65 72 5f 6e 64 5f 66 6c 61 74 72	s........r......_vander_nd_flatr
3f00	6e 00 00 00 b3 01 00 00 73 37 00 00 00 80 00 f4 0c 00 09 13 90 39 98 66 a0 67 d3 08 2e 80 41 d8	n.......s7...........9.f.g....A.
3f20	0b 0c 8f 39 89 39 90 51 97 57 91 57 98 5e 9c 73 a0 37 9b 7c 98 6d d0 15 2c a8 75 d1 15 34 d3 0b	...9.9.Q.W.W.^.s.7.|.m..,.u..4..
3f40	35 d0 04 35 72 15 00 00 00 63 03 00 00 00 00 00 00 00 00 00 00 00 09 00 00 00 03 00 00 00 f3 9e	5..5r....c......................
3f60	01 00 00 97 00 74 01 00 00 00 00 00 00 00 00 7c 02 ab 01 00 00 00 00 00 00 64 01 6b 28 00 00 72	.....t.........|.........d.k(..r
3f80	15 74 03 00 00 00 00 00 00 00 00 6a 04 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64	.t.........j...................d
3fa0	02 ab 01 00 00 00 00 00 00 53 00 74 07 00 00 00 00 00 00 00 00 7c 02 67 01 64 03 ac 04 ab 02 00	.........S.t.........|.g.d......
3fc0	00 00 00 00 00 5c 01 00 00 7d 02 7c 02 6a 09 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00	.....\...}.|.j..................
3fe0	00 ab 00 00 00 00 00 00 00 01 00 7c 02 44 00 8f 03 63 02 67 00 63 02 5d 0c 00 00 7d 03 02 00 7c	...........|.D...c.g.c.]...}...|
4000	00 7c 03 0b 00 64 02 ab 02 00 00 00 00 00 00 91 02 8c 0e 04 00 7d 04 7d 03 74 01 00 00 00 00 00	.|...d...............}.}.t......
4020	00 00 00 7c 04 ab 01 00 00 00 00 00 00 7d 05 7c 05 64 02 6b 44 00 00 72 55 74 0b 00 00 00 00 00	...|.........}.|.d.kD..rUt......
4040	00 00 00 7c 05 64 05 ab 02 00 00 00 00 00 00 5c 02 00 00 7d 06 7d 03 74 0d 00 00 00 00 00 00 00	...|.d.........\...}.}.t........
4060	00 7c 06 ab 01 00 00 00 00 00 00 44 00 8f 07 63 02 67 00 63 02 5d 14 00 00 7d 07 02 00 7c 01 7c	.|.........D...c.g.c.]...}...|.|
4080	04 7c 07 19 00 00 00 7c 04 7c 07 7c 06 7a 00 00 00 19 00 00 00 ab 02 00 00 00 00 00 00 91 02 8c	.|.....|.|.|.z..................
40a0	16 04 00 7d 08 7d 07 7c 03 72 12 02 00 7c 01 7c 08 64 01 19 00 00 00 7c 04 64 06 19 00 00 00 ab	...}.}.|.r...|.|.d.....|.d......
40c0	02 00 00 00 00 00 00 7c 08 64 01 3c 00 00 00 7c 08 7d 04 7c 06 7d 05 7c 05 64 02 6b 44 00 00 72	.......|.d.<...|.}.|.}.|.d.kD..r
40e0	01 8c 55 7c 04 64 01 19 00 00 00 53 00 63 02 01 00 63 02 7d 03 77 00 63 02 01 00 63 02 7d 07 77	..U|.d.....S.c...c.}.w.c...c.}.w
4100	00 29 07 61 8e 01 00 00 0a 20 20 20 20 48 65 6c 70 65 72 20 66 75 6e 63 74 69 6f 6e 20 75 73 65	.).a.........Helper.function.use
4120	64 20 74 6f 20 69 6d 70 6c 65 6d 65 6e 74 20 74 68 65 20 60 60 3c 74 79 70 65 3e 66 72 6f 6d 72	d.to.implement.the.``<type>fromr
4140	6f 6f 74 73 60 60 20 66 75 6e 63 74 69 6f 6e 73 2e 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72	oots``.functions.......Parameter
4160	73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 6c 69 6e 65 5f 66 20 3a 20 66 75	s.....----------.....line_f.:.fu
4180	6e 63 74 69 6f 6e 28 66 6c 6f 61 74 2c 20 66 6c 6f 61 74 29 20 2d 3e 20 6e 64 61 72 72 61 79 0a	nction(float,.float).->.ndarray.
41a0	20 20 20 20 20 20 20 20 54 68 65 20 60 60 3c 74 79 70 65 3e 6c 69 6e 65 60 60 20 66 75 6e 63 74	........The.``<type>line``.funct
41c0	69 6f 6e 2c 20 73 75 63 68 20 61 73 20 60 60 70 6f 6c 79 6c 69 6e 65 60 60 0a 20 20 20 20 6d 75	ion,.such.as.``polyline``.....mu
41e0	6c 5f 66 20 3a 20 66 75 6e 63 74 69 6f 6e 28 61 72 72 61 79 5f 6c 69 6b 65 2c 20 61 72 72 61 79	l_f.:.function(array_like,.array
4200	5f 6c 69 6b 65 29 20 2d 3e 20 6e 64 61 72 72 61 79 0a 20 20 20 20 20 20 20 20 54 68 65 20 60 60	_like).->.ndarray.........The.``
4220	3c 74 79 70 65 3e 6d 75 6c 60 60 20 66 75 6e 63 74 69 6f 6e 2c 20 73 75 63 68 20 61 73 20 60 60	<type>mul``.function,.such.as.``
4240	70 6f 6c 79 6d 75 6c 60 60 0a 20 20 20 20 72 6f 6f 74 73 0a 20 20 20 20 20 20 20 20 53 65 65 20	polymul``.....roots.........See.
4260	74 68 65 20 60 60 3c 74 79 70 65 3e 66 72 6f 6d 72 6f 6f 74 73 60 60 20 66 75 6e 63 74 69 6f 6e	the.``<type>fromroots``.function
4280	73 20 66 6f 72 20 6d 6f 72 65 20 64 65 74 61 69 6c 0a 20 20 20 20 72 02 00 00 00 72 0f 00 00 00	s.for.more.detail.....r....r....
42a0	46 72 36 00 00 00 e9 02 00 00 00 72 0e 00 00 00 29 07 72 10 00 00 00 72 1b 00 00 00 da 04 6f 6e	Fr6........r....).r....r......on
42c0	65 73 72 06 00 00 00 da 04 73 6f 72 74 da 06 64 69 76 6d 6f 64 72 11 00 00 00 29 09 da 06 6c 69	esr......sort..divmodr....)...li
42e0	6e 65 5f 66 da 05 6d 75 6c 5f 66 da 05 72 6f 6f 74 73 da 01 72 da 01 70 da 01 6e da 01 6d 72 13	ne_f..mul_f..roots..r..p..n..mr.
4300	00 00 00 72 2e 00 00 00 73 09 00 00 00 20 20 20 20 20 20 20 20 20 72 14 00 00 00 da 0a 5f 66 72	...r....s.............r......_fr
4320	6f 6d 72 6f 6f 74 73 72 7b 00 00 00 bd 01 00 00 73 dd 00 00 00 80 00 f4 1a 00 08 0b 88 35 83 7a	omrootsr{.......s............5.z
4340	90 51 82 7f dc 0f 11 8f 77 89 77 90 71 8b 7a d0 08 19 e4 12 1b 98 55 98 47 a8 25 d4 12 30 89 07	.Q......w.w.q.z.......U.G.%..0..
4360	88 15 d8 08 0d 8f 0a 89 0a 8c 0c d8 24 29 d6 0c 2a 98 71 89 56 90 51 90 42 98 01 8d 5d d0 0c 2a	............$)..*.q.V.Q.B...]..*
4380	88 01 d0 0c 2a dc 0c 0f 90 01 8b 46 88 01 d8 0e 0f 90 21 8a 65 dc 13 19 98 21 98 51 93 3c 89 44	....*......F......!.e....!.Q.<.D
43a0	88 41 88 71 dc 32 37 b8 01 b3 28 d6 12 3b a8 51 91 35 98 11 98 31 99 14 98 71 a0 11 a0 51 a1 15	.A.q.27...(..;.Q.5...1...q...Q..
43c0	99 78 d5 13 28 d0 12 3b 88 43 d0 12 3b d9 0f 10 d9 19 1e 98 73 a0 31 99 76 a0 71 a8 12 a1 75 d3	.x..(..;.C..;.......s.1.v.q...u.
43e0	19 2d 90 03 90 41 91 06 d8 10 13 88 41 d8 10 11 88 41 f0 0d 00 0f 10 90 21 8b 65 f0 0e 00 10 11	.-...A......A....A......!.e.....
4400	90 11 89 74 88 0b f9 f2 13 00 0d 2b f9 f2 08 00 13 3c 73 0c 00 00 00 c1 08 11 43 05 04 c2 07 19	...t.......+.....<s.......C.....
4420	43 0a 04 63 02 00 00 00 00 00 00 00 00 00 00 00 06 00 00 00 07 00 00 00 f3 7e 01 00 00 87 07 97	C..c.....................~......
4440	00 7c 02 44 00 8f 03 63 02 67 00 63 02 5d 17 00 00 7d 03 74 01 00 00 00 00 00 00 00 00 6a 02 00	.|.D...c.g.c.]...}.t.........j..
4460	00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 03 ab 01 00 00 00 00 00 00 91 02 8c 19 04	.................|..............
4480	00 7d 02 7d 03 7c 02 64 01 19 00 00 00 6a 04 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00	.}.}.|.d.....j..................
44a0	00 8a 07 74 07 00 00 00 00 00 00 00 00 88 07 66 01 64 02 84 08 7c 02 64 03 64 04 1a 00 44 00 ab	...t...........f.d...|.d.d...D..
44c0	00 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 73 3d 74 09 00 00 00 00 00 00 00 00 7c 02 ab 01 00	...............s=t.........|....
44e0	00 00 00 00 00 64 05 6b 28 00 00 72 0b 74 0b 00 00 00 00 00 00 00 00 64 06 ab 01 00 00 00 00 00	.....d.k(..r.t.........d........
4500	00 82 01 74 09 00 00 00 00 00 00 00 00 7c 02 ab 01 00 00 00 00 00 00 64 07 6b 28 00 00 72 0b 74	...t.........|.........d.k(..r.t
4520	0b 00 00 00 00 00 00 00 00 64 08 ab 01 00 00 00 00 00 00 82 01 74 0b 00 00 00 00 00 00 00 00 64	.........d...........t.........d
4540	09 ab 01 00 00 00 00 00 00 82 01 74 0d 00 00 00 00 00 00 00 00 7c 02 ab 01 00 00 00 00 00 00 7d	...........t.........|.........}
4560	04 74 0f 00 00 00 00 00 00 00 00 7c 04 ab 01 00 00 00 00 00 00 7d 05 02 00 7c 00 7c 05 7c 01 ab	.t.........|.........}...|.|.|..
4580	02 00 00 00 00 00 00 7d 01 7c 04 44 00 5d 0d 00 00 7d 06 02 00 7c 00 7c 06 7c 01 64 0a ac 0b ab	.......}.|.D.]...}...|.|.|.d....
45a0	03 00 00 00 00 00 00 7d 01 8c 0f 04 00 7c 01 53 00 63 02 01 00 63 02 7d 03 77 00 29 0c 61 34 01	.......}.....|.S.c...c.}.w.).a4.
45c0	00 00 0a 20 20 20 20 48 65 6c 70 65 72 20 66 75 6e 63 74 69 6f 6e 20 75 73 65 64 20 74 6f 20 69	.......Helper.function.used.to.i
45e0	6d 70 6c 65 6d 65 6e 74 20 74 68 65 20 60 60 3c 74 79 70 65 3e 76 61 6c 3c 6e 3e 64 60 60 20 66	mplement.the.``<type>val<n>d``.f
4600	75 6e 63 74 69 6f 6e 73 2e 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 2d 2d	unctions.......Parameters.....--
4620	2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 76 61 6c 5f 66 20 3a 20 66 75 6e 63 74 69 6f 6e 28 61 72	--------.....val_f.:.function(ar
4640	72 61 79 5f 6c 69 6b 65 2c 20 61 72 72 61 79 5f 6c 69 6b 65 2c 20 74 65 6e 73 6f 72 3a 20 62 6f	ray_like,.array_like,.tensor:.bo
4660	6f 6c 29 20 2d 3e 20 61 72 72 61 79 5f 6c 69 6b 65 0a 20 20 20 20 20 20 20 20 54 68 65 20 60 60	ol).->.array_like.........The.``
4680	3c 74 79 70 65 3e 76 61 6c 60 60 20 66 75 6e 63 74 69 6f 6e 2c 20 73 75 63 68 20 61 73 20 60 60	<type>val``.function,.such.as.``
46a0	70 6f 6c 79 76 61 6c 60 60 0a 20 20 20 20 63 2c 20 61 72 67 73 0a 20 20 20 20 20 20 20 20 53 65	polyval``.....c,.args.........Se
46c0	65 20 74 68 65 20 60 60 3c 74 79 70 65 3e 76 61 6c 3c 6e 3e 64 60 60 20 66 75 6e 63 74 69 6f 6e	e.the.``<type>val<n>d``.function
46e0	73 20 66 6f 72 20 6d 6f 72 65 20 64 65 74 61 69 6c 0a 20 20 20 20 72 02 00 00 00 63 01 00 00 00	s.for.more.detail.....r....c....
4700	00 00 00 00 00 00 00 00 03 00 00 00 33 00 00 00 f3 3c 00 00 00 95 01 4b 00 01 00 97 00 7c 00 5d	............3....<.....K.....|.]
4720	13 00 00 7d 01 7c 01 6a 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 89 02 6b 28 00	...}.|.j.....................k(.
4740	00 96 01 97 01 01 00 8c 15 04 00 79 00 ad 03 77 01 72 54 00 00 00 29 01 72 6c 00 00 00 29 03 72	...........y...w.rT...).rl...).r
4760	5d 00 00 00 72 28 00 00 00 da 06 73 68 61 70 65 30 73 03 00 00 00 20 20 80 72 14 00 00 00 72 62	]...r(.....shape0s.......r....rb
4780	00 00 00 7a 19 5f 76 61 6c 6e 64 2e 3c 6c 6f 63 61 6c 73 3e 2e 3c 67 65 6e 65 78 70 72 3e e8 01	...z._valnd.<locals>.<genexpr>..
47a0	00 00 73 1a 00 00 00 f8 e8 00 f8 80 00 d2 0e 33 a0 51 88 71 8f 77 89 77 98 26 d5 0f 20 d1 0e 33	..s............3.Q.q.w.w.&.....3
47c0	f9 73 04 00 00 00 83 19 1c 01 72 0f 00 00 00 4e e9 03 00 00 00 7a 18 78 2c 20 79 2c 20 7a 20 61	.s........r....N.....z.x,.y,.z.a
47e0	72 65 20 69 6e 63 6f 6d 70 61 74 69 62 6c 65 72 70 00 00 00 7a 15 78 2c 20 79 20 61 72 65 20 69	re.incompatiblerp...z.x,.y.are.i
4800	6e 63 6f 6d 70 61 74 69 62 6c 65 7a 1a 6f 72 64 69 6e 61 74 65 73 20 61 72 65 20 69 6e 63 6f 6d	ncompatiblez.ordinates.are.incom
4820	70 61 74 69 62 6c 65 46 29 01 da 06 74 65 6e 73 6f 72 29 08 72 1b 00 00 00 72 52 00 00 00 72 6c	patibleF)...tensor).r....rR...rl
4840	00 00 00 da 03 61 6c 6c 72 10 00 00 00 72 1e 00 00 00 da 04 69 74 65 72 da 04 6e 65 78 74 29 08	.....allr....r......iter..next).
4860	da 05 76 61 6c 5f 66 72 32 00 00 00 da 04 61 72 67 73 72 28 00 00 00 da 02 69 74 da 02 78 30 da	..val_fr2.....argsr(.....it..x0.
4880	02 78 69 72 7e 00 00 00 73 08 00 00 00 20 20 20 20 20 20 20 40 72 14 00 00 00 da 06 5f 76 61 6c	.xir~...s...........@r......_val
48a0	6e 64 72 89 00 00 00 db 01 00 00 73 c2 00 00 00 f8 80 00 f0 16 00 27 2b d6 0b 2b a0 11 8c 42 8f	ndr........s..........'+..+...B.
48c0	4d 89 4d 98 21 d5 0c 1c d0 0b 2b 80 44 d0 0b 2b d8 0d 11 90 21 89 57 8f 5d 89 5d 80 46 dc 0b 0e	M.M.!.....+.D..+....!.W.].].F...
48e0	d3 0e 33 a8 24 a8 71 a8 72 a8 28 d4 0e 33 d4 0b 33 dc 0b 0e 88 74 8b 39 98 01 8a 3e dc 12 1c d0	..3.$.q.r.(..3..3....t.9...>....
4900	1d 37 d3 12 38 d0 0c 38 dc 0d 10 90 14 8b 59 98 21 8a 5e dc 12 1c d0 1d 34 d3 12 35 d0 0c 35 e4	.7..8..8......Y.!.^.....4..5..5.
4920	12 1c d0 1d 39 d3 12 3a d0 0c 3a dc 09 0d 88 64 8b 1a 80 42 dc 09 0d 88 62 8b 18 80 42 f1 06 00	....9..:..:....d...B....b...B...
4940	09 0e 88 62 90 21 8b 0c 80 41 d8 0e 10 f2 00 01 05 27 88 02 d9 0c 11 90 22 90 61 a0 05 d4 0c 26	...b.!...A.......'......".a....&
4960	89 01 f0 03 01 05 27 e0 0b 0c 80 48 f9 f2 21 00 0c 2c 73 05 00 00 00 86 1c 42 3a 04 63 02 00 00	......'....H..!..,s......B:.c...
4980	00 00 00 00 00 00 00 00 00 05 00 00 00 07 00 00 00 f3 26 00 00 00 97 00 7c 02 44 00 5d 0b 00 00	..................&.....|.D.]...
49a0	7d 03 02 00 7c 00 7c 03 7c 01 ab 02 00 00 00 00 00 00 7d 01 8c 0d 04 00 7c 01 53 00 29 01 61 36	}...|.|.|.........}.....|.S.).a6
49c0	01 00 00 0a 20 20 20 20 48 65 6c 70 65 72 20 66 75 6e 63 74 69 6f 6e 20 75 73 65 64 20 74 6f 20	........Helper.function.used.to.
49e0	69 6d 70 6c 65 6d 65 6e 74 20 74 68 65 20 60 60 3c 74 79 70 65 3e 67 72 69 64 3c 6e 3e 64 60 60	implement.the.``<type>grid<n>d``
4a00	20 66 75 6e 63 74 69 6f 6e 73 2e 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20	.functions.......Parameters.....
4a20	2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 76 61 6c 5f 66 20 3a 20 66 75 6e 63 74 69 6f 6e 28	----------.....val_f.:.function(
4a40	61 72 72 61 79 5f 6c 69 6b 65 2c 20 61 72 72 61 79 5f 6c 69 6b 65 2c 20 74 65 6e 73 6f 72 3a 20	array_like,.array_like,.tensor:.
4a60	62 6f 6f 6c 29 20 2d 3e 20 61 72 72 61 79 5f 6c 69 6b 65 0a 20 20 20 20 20 20 20 20 54 68 65 20	bool).->.array_like.........The.
4a80	60 60 3c 74 79 70 65 3e 76 61 6c 60 60 20 66 75 6e 63 74 69 6f 6e 2c 20 73 75 63 68 20 61 73 20	``<type>val``.function,.such.as.
4aa0	60 60 70 6f 6c 79 76 61 6c 60 60 0a 20 20 20 20 63 2c 20 61 72 67 73 0a 20 20 20 20 20 20 20 20	``polyval``.....c,.args.........
4ac0	53 65 65 20 74 68 65 20 60 60 3c 74 79 70 65 3e 67 72 69 64 3c 6e 3e 64 60 60 20 66 75 6e 63 74	See.the.``<type>grid<n>d``.funct
4ae0	69 6f 6e 73 20 66 6f 72 20 6d 6f 72 65 20 64 65 74 61 69 6c 0a 20 20 20 20 72 45 00 00 00 29 04	ions.for.more.detail.....rE...).
4b00	72 84 00 00 00 72 32 00 00 00 72 85 00 00 00 72 88 00 00 00 73 04 00 00 00 20 20 20 20 72 14 00	r....r2...r....r....s........r..
4b20	00 00 da 07 5f 67 72 69 64 6e 64 72 8b 00 00 00 f9 01 00 00 73 23 00 00 00 80 00 f0 16 00 0f 13	...._gridndr........s#..........
4b40	f2 00 01 05 19 88 02 d9 0c 11 90 22 90 61 8b 4c 89 01 f0 03 01 05 19 e0 0b 0c 80 48 72 15 00 00	...........".a.L...........Hr...
4b60	00 63 03 00 00 00 00 00 00 00 00 00 00 00 06 00 00 00 03 00 00 00 f3 a6 01 00 00 97 00 74 01 00	.c...........................t..
4b80	00 00 00 00 00 00 00 7c 01 7c 02 67 02 ab 01 00 00 00 00 00 00 5c 02 00 00 7d 01 7d 02 7c 02 64	.......|.|.g.........\...}.}.|.d
4ba0	01 19 00 00 00 64 02 6b 28 00 00 72 06 74 02 00 00 00 00 00 00 00 00 82 01 74 05 00 00 00 00 00	.....d.k(..r.t...........t......
4bc0	00 00 00 7c 01 ab 01 00 00 00 00 00 00 7d 03 74 05 00 00 00 00 00 00 00 00 7c 02 ab 01 00 00 00	...|.........}.t.........|......
4be0	00 00 00 7d 04 7c 03 7c 04 6b 02 00 00 72 0a 7c 01 64 03 64 04 1a 00 64 02 7a 05 00 00 7c 01 66	...}.|.|.k...r.|.d.d...d.z...|.f
4c00	02 53 00 7c 04 64 04 6b 28 00 00 72 10 7c 01 7c 02 64 01 19 00 00 00 7a 0b 00 00 7c 01 64 03 64	.S.|.d.k(..r.|.|.d.....z...|.d.d
4c20	04 1a 00 64 02 7a 05 00 00 66 02 53 00 74 07 00 00 00 00 00 00 00 00 6a 08 00 00 00 00 00 00 00	...d.z...f.S.t.........j........
4c40	00 00 00 00 00 00 00 00 00 00 00 7c 03 7c 04 7a 0a 00 00 64 04 7a 00 00 00 7c 01 6a 0a 00 00 00	...........|.|.z...d.z...|.j....
4c60	00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ac 05 ab 02 00 00 00 00 00 00 7d 05 7c 01 7d 06 74	.........................}.|.}.t
4c80	0d 00 00 00 00 00 00 00 00 7c 03 7c 04 7a 0a 00 00 64 01 64 01 ab 03 00 00 00 00 00 00 44 00 5d	.........|.|.z...d.d.........D.]
4ca0	31 00 00 7d 07 02 00 7c 00 64 02 67 01 7c 07 7a 05 00 00 64 04 67 01 7a 00 00 00 7c 02 ab 02 00	1..}...|.d.g.|.z...d.g.z...|....
4cc0	00 00 00 00 00 7d 08 7c 06 64 01 19 00 00 00 7c 08 64 01 19 00 00 00 7a 0b 00 00 7d 09 7c 06 64	.....}.|.d.....|.d.....z...}.|.d
4ce0	03 64 01 1a 00 7c 09 7c 08 64 03 64 01 1a 00 7a 05 00 00 7a 0a 00 00 7d 06 7c 09 7c 05 7c 07 3c	.d...|.|.d.d...z...z...}.|.|.|.<
4d00	00 00 00 8c 33 04 00 7c 05 74 0f 00 00 00 00 00 00 00 00 7c 06 ab 01 00 00 00 00 00 00 66 02 53	....3..|.t.........|.........f.S
4d20	00 29 06 61 b8 01 00 00 0a 20 20 20 20 48 65 6c 70 65 72 20 66 75 6e 63 74 69 6f 6e 20 75 73 65	.).a.........Helper.function.use
4d40	64 20 74 6f 20 69 6d 70 6c 65 6d 65 6e 74 20 74 68 65 20 60 60 3c 74 79 70 65 3e 64 69 76 60 60	d.to.implement.the.``<type>div``
4d60	20 66 75 6e 63 74 69 6f 6e 73 2e 0a 0a 20 20 20 20 49 6d 70 6c 65 6d 65 6e 74 61 74 69 6f 6e 20	.functions.......Implementation.
4d80	75 73 65 73 20 72 65 70 65 61 74 65 64 20 73 75 62 74 72 61 63 74 69 6f 6e 20 6f 66 20 63 32 20	uses.repeated.subtraction.of.c2.
4da0	6d 75 6c 74 69 70 6c 69 65 64 20 62 79 20 74 68 65 20 6e 74 68 20 62 61 73 69 73 2e 0a 20 20 20	multiplied.by.the.nth.basis.....
4dc0	20 46 6f 72 20 73 6f 6d 65 20 70 6f 6c 79 6e 6f 6d 69 61 6c 20 74 79 70 65 73 2c 20 61 20 6d 6f	.For.some.polynomial.types,.a.mo
4de0	72 65 20 65 66 66 69 63 69 65 6e 74 20 61 70 70 72 6f 61 63 68 20 6d 61 79 20 62 65 20 70 6f 73	re.efficient.approach.may.be.pos
4e00	73 69 62 6c 65 2e 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 2d 2d 2d 2d 2d	sible.......Parameters.....-----
4e20	2d 2d 2d 2d 2d 0a 20 20 20 20 6d 75 6c 5f 66 20 3a 20 66 75 6e 63 74 69 6f 6e 28 61 72 72 61 79	-----.....mul_f.:.function(array
4e40	5f 6c 69 6b 65 2c 20 61 72 72 61 79 5f 6c 69 6b 65 29 20 2d 3e 20 61 72 72 61 79 5f 6c 69 6b 65	_like,.array_like).->.array_like
4e60	0a 20 20 20 20 20 20 20 20 54 68 65 20 60 60 3c 74 79 70 65 3e 6d 75 6c 60 60 20 66 75 6e 63 74	.........The.``<type>mul``.funct
4e80	69 6f 6e 2c 20 73 75 63 68 20 61 73 20 60 60 70 6f 6c 79 6d 75 6c 60 60 0a 20 20 20 20 63 31 2c	ion,.such.as.``polymul``.....c1,
4ea0	20 63 32 0a 20 20 20 20 20 20 20 20 53 65 65 20 74 68 65 20 60 60 3c 74 79 70 65 3e 64 69 76 60	.c2.........See.the.``<type>div`
4ec0	60 20 66 75 6e 63 74 69 6f 6e 73 20 66 6f 72 20 6d 6f 72 65 20 64 65 74 61 69 6c 0a 20 20 20 20	`.functions.for.more.detail.....
4ee0	72 0e 00 00 00 72 02 00 00 00 4e 72 0f 00 00 00 72 1a 00 00 00 29 08 72 06 00 00 00 da 11 5a 65	r....r....Nr....r....).r......Ze
4f00	72 6f 44 69 76 69 73 69 6f 6e 45 72 72 6f 72 72 10 00 00 00 72 1b 00 00 00 72 24 00 00 00 72 19	roDivisionErrorr....r....r$...r.
4f20	00 00 00 72 11 00 00 00 72 07 00 00 00 29 0a 72 75 00 00 00 da 02 63 31 da 02 63 32 da 03 6c 63	...r....r....).ru.....c1..c2..lc
4f40	31 da 03 6c 63 32 da 03 71 75 6f da 03 72 65 6d 72 13 00 00 00 72 78 00 00 00 da 01 71 73 0a 00	1..lc2..quo..remr....rx.....qs..
4f60	00 00 20 20 20 20 20 20 20 20 20 20 72 14 00 00 00 da 04 5f 64 69 76 72 95 00 00 00 09 02 00 00	............r......_divr........
4f80	73 12 01 00 00 80 00 f4 1e 00 10 19 98 22 98 62 98 18 d3 0f 22 81 48 80 52 88 12 d8 07 09 88 22	s............".b....".H.R......"
4fa0	81 76 90 11 82 7b dc 0e 1f d0 08 1f e4 0a 0d 88 62 8b 27 80 43 dc 0a 0d 88 62 8b 27 80 43 d8 07	.v...{..........b.'.C....b.'.C..
4fc0	0a 88 53 82 79 d8 0f 11 90 22 90 31 88 76 98 01 89 7a 98 32 88 7e d0 08 1d d8 09 0c 90 01 8a 18	..S.y....".1.v...z.2.~..........
4fe0	d8 0f 11 90 42 90 72 91 46 89 7b 98 42 98 72 a0 01 98 46 a0 51 99 4a d0 0f 26 d0 08 26 e4 0e 10	....B.r.F.{.B.r...F.Q.J..&..&...
5000	8f 68 89 68 90 73 98 53 91 79 a0 31 91 7d a8 42 af 48 a9 48 d4 0e 35 88 03 d8 0e 10 88 03 dc 11	.h.h.s.S.y.1.}.B.H.H..5.........
5020	16 90 73 98 53 91 79 a0 23 a0 72 d3 11 2a f2 00 04 09 17 88 41 d9 10 15 90 71 90 63 98 41 91 67	..s.S.y.#.r..*......A....q.c.A.g
5040	a0 11 a0 03 91 6d a0 52 d3 10 28 88 41 d8 10 13 90 42 91 07 98 21 98 42 99 25 91 0f 88 41 d8 12	.....m.R..(.A....B...!.B.%...A..
5060	15 90 63 90 72 90 28 98 51 a0 11 a0 33 a0 42 a0 16 99 5a d1 12 27 88 43 d8 15 16 88 43 90 01 8a	..c.r.(.Q...3.B...Z..'.C....C...
5080	46 f0 09 04 09 17 f0 0a 00 10 13 94 47 98 43 93 4c d0 0f 20 d0 08 20 72 15 00 00 00 63 02 00 00	F...........G.C.L......r....c...
50a0	00 00 00 00 00 00 00 00 00 06 00 00 00 03 00 00 00 f3 e4 00 00 00 97 00 74 01 00 00 00 00 00 00	........................t.......
50c0	00 00 7c 00 7c 01 67 02 ab 01 00 00 00 00 00 00 5c 02 00 00 7d 00 7d 01 74 03 00 00 00 00 00 00	..|.|.g.........\...}.}.t.......
50e0	00 00 7c 00 ab 01 00 00 00 00 00 00 74 03 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 00 00	..|.........t.........|.........
5100	6b 44 00 00 72 25 7c 00 64 01 7c 01 6a 04 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00	kD..r%|.d.|.j...................
5120	78 03 78 03 78 03 1a 00 7c 01 7a 0d 00 00 63 04 63 03 63 02 1b 00 7c 00 7d 02 74 07 00 00 00 00	x.x.x...|.z...c.c.c...|.}.t.....
5140	00 00 00 00 7c 02 ab 01 00 00 00 00 00 00 53 00 7c 01 64 01 7c 00 6a 04 00 00 00 00 00 00 00 00	....|.........S.|.d.|.j.........
5160	00 00 00 00 00 00 00 00 00 00 78 03 78 03 78 03 1a 00 7c 00 7a 0d 00 00 63 04 63 03 63 02 1b 00	..........x.x.x...|.z...c.c.c...
5180	7c 01 7d 02 74 07 00 00 00 00 00 00 00 00 7c 02 ab 01 00 00 00 00 00 00 53 00 29 02 7a 40 20 48	|.}.t.........|.........S.).z@.H
51a0	65 6c 70 65 72 20 66 75 6e 63 74 69 6f 6e 20 75 73 65 64 20 74 6f 20 69 6d 70 6c 65 6d 65 6e 74	elper.function.used.to.implement
51c0	20 74 68 65 20 60 60 3c 74 79 70 65 3e 61 64 64 60 60 20 66 75 6e 63 74 69 6f 6e 73 2e 20 4e a9	.the.``<type>add``.functions..N.
51e0	04 72 06 00 00 00 72 10 00 00 00 72 1d 00 00 00 72 07 00 00 00 a9 03 72 8e 00 00 00 72 8f 00 00	.r....r....r....r......r....r...
5200	00 72 2a 00 00 00 73 03 00 00 00 20 20 20 72 14 00 00 00 da 04 5f 61 64 64 72 99 00 00 00 2d 02	.r*...s.......r......_addr....-.
5220	00 00 73 70 00 00 00 80 00 f4 06 00 10 19 98 22 98 62 98 18 d3 0f 22 81 48 80 52 88 12 dc 07 0a	..sp...........".b....".H.R.....
5240	88 32 83 77 94 13 90 52 93 17 d2 07 18 d8 08 0a 88 38 88 42 8f 47 89 47 8b 0c 98 02 d1 08 1a 8b	.2.w...R.........8.B.G.G........
5260	0c d8 0e 10 88 03 f4 08 00 0c 13 90 33 8b 3c d0 04 17 f0 05 00 09 0b 88 38 88 42 8f 47 89 47 8b	............3.<.........8.B.G.G.
5280	0c 98 02 d1 08 1a 8b 0c d8 0e 10 88 03 dc 0b 12 90 33 8b 3c d0 04 17 72 15 00 00 00 63 02 00 00	.................3.<...r....c...
52a0	00 00 00 00 00 00 00 00 00 06 00 00 00 03 00 00 00 f3 ea 00 00 00 97 00 74 01 00 00 00 00 00 00	........................t.......
52c0	00 00 7c 00 7c 01 67 02 ab 01 00 00 00 00 00 00 5c 02 00 00 7d 00 7d 01 74 03 00 00 00 00 00 00	..|.|.g.........\...}.}.t.......
52e0	00 00 7c 00 ab 01 00 00 00 00 00 00 74 03 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 00 00	..|.........t.........|.........
5300	6b 44 00 00 72 25 7c 00 64 01 7c 01 6a 04 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00	kD..r%|.d.|.j...................
5320	78 03 78 03 78 03 1a 00 7c 01 7a 17 00 00 63 04 63 03 63 02 1b 00 7c 00 7d 02 74 07 00 00 00 00	x.x.x...|.z...c.c.c...|.}.t.....
5340	00 00 00 00 7c 02 ab 01 00 00 00 00 00 00 53 00 7c 01 0b 00 7d 01 7c 01 64 01 7c 00 6a 04 00 00	....|.........S.|...}.|.d.|.j...
5360	00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 78 03 78 03 78 03 1a 00 7c 00 7a 0d 00 00 63 04	................x.x.x...|.z...c.
5380	63 03 63 02 1b 00 7c 01 7d 02 74 07 00 00 00 00 00 00 00 00 7c 02 ab 01 00 00 00 00 00 00 53 00	c.c...|.}.t.........|.........S.
53a0	29 02 7a 40 20 48 65 6c 70 65 72 20 66 75 6e 63 74 69 6f 6e 20 75 73 65 64 20 74 6f 20 69 6d 70	).z@.Helper.function.used.to.imp
53c0	6c 65 6d 65 6e 74 20 74 68 65 20 60 60 3c 74 79 70 65 3e 73 75 62 60 60 20 66 75 6e 63 74 69 6f	lement.the.``<type>sub``.functio
53e0	6e 73 2e 20 4e 72 97 00 00 00 72 98 00 00 00 73 03 00 00 00 20 20 20 72 14 00 00 00 da 04 5f 73	ns..Nr....r....s.......r......_s
5400	75 62 72 9b 00 00 00 3a 02 00 00 73 77 00 00 00 80 00 f4 06 00 10 19 98 22 98 62 98 18 d3 0f 22	ubr....:...sw...........".b...."
5420	81 48 80 52 88 12 dc 07 0a 88 32 83 77 94 13 90 52 93 17 d2 07 18 d8 08 0a 88 38 88 42 8f 47 89	.H.R......2.w...R.........8.B.G.
5440	47 8b 0c 98 02 d1 08 1a 8b 0c d8 0e 10 88 03 f4 0a 00 0c 13 90 33 8b 3c d0 04 17 f0 07 00 0f 11	G....................3.<........
5460	88 53 88 02 d8 08 0a 88 38 88 42 8f 47 89 47 8b 0c 98 02 d1 08 1a 8b 0c d8 0e 10 88 03 dc 0b 12	.S......8.B.G.G.................
5480	90 33 8b 3c d0 04 17 72 15 00 00 00 63 07 00 00 00 00 00 00 00 00 00 00 00 06 00 00 00 03 00 00	.3.<...r....c...................
54a0	00 f3 f6 07 00 00 97 00 74 01 00 00 00 00 00 00 00 00 6a 02 00 00 00 00 00 00 00 00 00 00 00 00	........t.........j.............
54c0	00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 00 00 64 01 7a 00 00 00 7d 01 74 01 00 00 00 00 00 00	......|.........d.z...}.t.......
54e0	00 00 6a 02 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 02 ab 01 00 00 00 00 00 00	..j...................|.........
5500	64 01 7a 00 00 00 7d 02 74 01 00 00 00 00 00 00 00 00 6a 02 00 00 00 00 00 00 00 00 00 00 00 00	d.z...}.t.........j.............
5520	00 00 00 00 00 00 7c 03 ab 01 00 00 00 00 00 00 7d 03 7c 03 6a 04 00 00 00 00 00 00 00 00 00 00	......|.........}.|.j...........
5540	00 00 00 00 00 00 00 00 64 02 6b 44 00 00 73 27 7c 03 6a 06 00 00 00 00 00 00 00 00 00 00 00 00	........d.kD..s'|.j.............
5560	00 00 00 00 00 00 6a 08 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 03 76 01 73 0f	......j...................d.v.s.
5580	7c 03 6a 0a 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 04 6b 28 00 00 72 0b 74 0d	|.j...................d.k(..r.t.
55a0	00 00 00 00 00 00 00 00 64 05 ab 01 00 00 00 00 00 00 82 01 7c 03 6a 0f 00 00 00 00 00 00 00 00	........d...........|.j.........
55c0	00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 64 04 6b 02 00 00 72 0b 74 11 00 00 00 00	..................d.k...r.t.....
55e0	00 00 00 00 64 06 ab 01 00 00 00 00 00 00 82 01 7c 01 6a 04 00 00 00 00 00 00 00 00 00 00 00 00	....d...........|.j.............
5600	00 00 00 00 00 00 64 02 6b 37 00 00 72 0b 74 0d 00 00 00 00 00 00 00 00 64 07 ab 01 00 00 00 00	......d.k7..r.t.........d.......
5620	00 00 82 01 7c 01 6a 0a 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 04 6b 28 00 00	....|.j...................d.k(..
5640	72 0b 74 0d 00 00 00 00 00 00 00 00 64 08 ab 01 00 00 00 00 00 00 82 01 7c 02 6a 04 00 00 00 00	r.t.........d...........|.j.....
5660	00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 02 6b 02 00 00 73 0f 7c 02 6a 04 00 00 00 00 00 00	..............d.k...s.|.j.......
5680	00 00 00 00 00 00 00 00 00 00 00 00 64 09 6b 44 00 00 72 0b 74 0d 00 00 00 00 00 00 00 00 64 0a	............d.kD..r.t.........d.
56a0	ab 01 00 00 00 00 00 00 82 01 74 13 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 00 00 74 13	..........t.........|.........t.
56c0	00 00 00 00 00 00 00 00 7c 02 ab 01 00 00 00 00 00 00 6b 37 00 00 72 0b 74 0d 00 00 00 00 00 00	........|.........k7..r.t.......
56e0	00 00 64 0b ab 01 00 00 00 00 00 00 82 01 7c 03 6a 04 00 00 00 00 00 00 00 00 00 00 00 00 00 00	..d...........|.j...............
5700	00 00 00 00 64 04 6b 28 00 00 72 11 7c 03 7d 07 7c 07 64 02 7a 00 00 00 7d 08 02 00 7c 00 7c 01	....d.k(..r.|.}.|.d.z...}...|.|.
5720	7c 07 ab 02 00 00 00 00 00 00 7d 09 6e 35 74 01 00 00 00 00 00 00 00 00 6a 14 00 00 00 00 00 00	|.........}.n5t.........j.......
5740	00 00 00 00 00 00 00 00 00 00 00 00 7c 03 ab 01 00 00 00 00 00 00 7d 03 7c 03 64 0c 19 00 00 00	............|.........}.|.d.....
5760	7d 07 74 13 00 00 00 00 00 00 00 00 7c 03 ab 01 00 00 00 00 00 00 7d 08 02 00 7c 00 7c 01 7c 07	}.t.........|.........}...|.|.|.
5780	ab 02 00 00 00 00 00 00 64 0d 64 0d 85 02 7c 03 66 02 19 00 00 00 7d 09 7c 09 6a 16 00 00 00 00	........d.d...|.f.....}.|.j.....
57a0	00 00 00 00 00 00 00 00 00 00 00 00 00 00 7d 0a 7c 02 6a 16 00 00 00 00 00 00 00 00 00 00 00 00	..............}.|.j.............
57c0	00 00 00 00 00 00 7d 0b 7c 06 81 5e 74 01 00 00 00 00 00 00 00 00 6a 02 00 00 00 00 00 00 00 00	......}.|..^t.........j.........
57e0	00 00 00 00 00 00 00 00 00 00 7c 06 ab 01 00 00 00 00 00 00 64 01 7a 00 00 00 7d 06 7c 06 6a 04	..........|.........d.z...}.|.j.
5800	00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 02 6b 37 00 00 72 0b 74 0d 00 00 00 00	..................d.k7..r.t.....
5820	00 00 00 00 64 0e ab 01 00 00 00 00 00 00 82 01 74 13 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00	....d...........t.........|.....
5840	00 00 00 00 74 13 00 00 00 00 00 00 00 00 7c 06 ab 01 00 00 00 00 00 00 6b 37 00 00 72 0b 74 0d	....t.........|.........k7..r.t.
5860	00 00 00 00 00 00 00 00 64 0f ab 01 00 00 00 00 00 00 82 01 7c 0a 7c 06 7a 05 00 00 7d 0a 7c 0b	........d...........|.|.z...}.|.
5880	7c 06 7a 05 00 00 7d 0b 7c 04 80 35 74 13 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 00 00	|.z...}.|..5t.........|.........
58a0	74 01 00 00 00 00 00 00 00 00 6a 18 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 01	t.........j...................|.
58c0	6a 06 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 6a 1a 00 00	j...........................j...
58e0	00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7a 05 00 00 7d 04 74 1d 00 00 00 00 00 00 00 00	................z...}.t.........
5900	7c 0a 6a 06 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 6a 1e 00 00 00 00 00 00 00 00	|.j...................j.........
5920	00 00 00 00 00 00 00 00 00 00 74 00 00 00 00 00 00 00 00 00 6a 20 00 00 00 00 00 00 00 00 00 00	..........t.........j...........
5940	00 00 00 00 00 00 00 00 ab 02 00 00 00 00 00 00 72 62 74 01 00 00 00 00 00 00 00 00 6a 22 00 00	................rbt.........j"..
5960	00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 74 01 00 00 00 00 00 00 00 00 6a 24 00 00 00 00	................t.........j$....
5980	00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 0a 6a 26 00 00 00 00 00 00 00 00 00 00 00 00 00 00	..............|.j&..............
59a0	00 00 00 00 ab 01 00 00 00 00 00 00 74 01 00 00 00 00 00 00 00 00 6a 24 00 00 00 00 00 00 00 00	............t.........j$........
59c0	00 00 00 00 00 00 00 00 00 00 7c 0a 6a 28 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00	..........|.j(..................
59e0	ab 01 00 00 00 00 00 00 7a 00 00 00 6a 2b 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00	........z...j+..................
5a00	64 02 ab 01 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 7d 0c 6e 37 74 01 00 00 00 00 00 00 00 00	d.................}.n7t.........
5a20	6a 22 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 74 01 00 00 00 00 00 00 00 00 6a 24	j"..................t.........j$
5a40	00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 0a ab 01 00 00 00 00 00 00 6a 2b 00 00	..................|.........j+..
5a60	00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 02 ab 01 00 00 00 00 00 00 ab 01 00 00 00 00	................d...............
5a80	00 00 7d 0c 64 02 7c 0c 7c 0c 64 04 6b 28 00 00 3c 00 00 00 74 00 00 00 00 00 00 00 00 00 6a 2c	..}.d.|.|.d.k(..<...t.........j,
5aa0	00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 6a 2f 00 00 00 00 00 00 00 00 00 00 00 00	..................j/............
5ac0	00 00 00 00 00 00 7c 0a 6a 16 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 0c 7a 0b	......|.j...................|.z.
5ae0	00 00 7c 0b 6a 16 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 04 ab 03 00 00 00 00	..|.j...................|.......
5b00	00 00 5c 04 00 00 7d 0d 7d 0e 7d 0f 7d 10 7c 0d 6a 16 00 00 00 00 00 00 00 00 00 00 00 00 00 00	..\...}.}.}.}.|.j...............
5b20	00 00 00 00 7c 0c 7a 0b 00 00 6a 16 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7d 0d	....|.z...j...................}.
5b40	7c 03 6a 04 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 04 6b 44 00 00 72 6e 7c 0d	|.j...................d.kD..rn|.
5b60	6a 04 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 09 6b 28 00 00 72 34 74 01 00 00	j...................d.k(..r4t...
5b80	00 00 00 00 00 00 6a 30 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 07 64 02 7a 00	......j0..................|.d.z.
5ba0	00 00 7c 0d 6a 32 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 02 19 00 00 00 66 02	..|.j2..................d.....f.
5bc0	7c 0d 6a 06 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ac 10 ab 02 00 00 00 00 00 00	|.j.............................
5be0	7d 11 6e 24 74 01 00 00 00 00 00 00 00 00 6a 30 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00	}.n$t.........j0................
5c00	00 00 7c 07 64 02 7a 00 00 00 7c 0d 6a 06 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00	..|.d.z...|.j...................
5c20	ac 10 ab 02 00 00 00 00 00 00 7d 11 7c 0d 7c 11 7c 03 3c 00 00 00 7c 11 7d 0d 7c 0f 7c 08 6b 37	..........}.|.|.|.<...|.}.|.|.k7
5c40	00 00 72 20 7c 05 73 1e 64 11 7d 12 74 35 00 00 00 00 00 00 00 00 6a 36 00 00 00 00 00 00 00 00	..r.|.s.d.}.t5........j6........
5c60	00 00 00 00 00 00 00 00 00 00 7c 12 74 38 00 00 00 00 00 00 00 00 64 09 ac 12 ab 03 00 00 00 00	..........|.t8........d.........
5c80	00 00 01 00 7c 05 72 08 7c 0d 7c 0e 7c 0f 7c 10 7c 04 67 04 66 02 53 00 7c 0d 53 00 29 13 61 15	....|.r.|.|.|.|.|.g.f.S.|.S.).a.
5ca0	01 00 00 0a 20 20 20 20 48 65 6c 70 65 72 20 66 75 6e 63 74 69 6f 6e 20 75 73 65 64 20 74 6f 20	........Helper.function.used.to.
5cc0	69 6d 70 6c 65 6d 65 6e 74 20 74 68 65 20 60 60 3c 74 79 70 65 3e 66 69 74 60 60 20 66 75 6e 63	implement.the.``<type>fit``.func
5ce0	74 69 6f 6e 73 2e 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 2d 2d 2d 2d 2d	tions.......Parameters.....-----
5d00	2d 2d 2d 2d 2d 0a 20 20 20 20 76 61 6e 64 65 72 5f 66 20 3a 20 66 75 6e 63 74 69 6f 6e 28 61 72	-----.....vander_f.:.function(ar
5d20	72 61 79 5f 6c 69 6b 65 2c 20 69 6e 74 29 20 2d 3e 20 6e 64 61 72 72 61 79 0a 20 20 20 20 20 20	ray_like,.int).->.ndarray.......
5d40	20 20 54 68 65 20 31 64 20 76 61 6e 64 65 72 20 66 75 6e 63 74 69 6f 6e 2c 20 73 75 63 68 20 61	..The.1d.vander.function,.such.a
5d60	73 20 60 60 70 6f 6c 79 76 61 6e 64 65 72 60 60 0a 20 20 20 20 63 31 2c 20 63 32 0a 20 20 20 20	s.``polyvander``.....c1,.c2.....
5d80	20 20 20 20 53 65 65 20 74 68 65 20 60 60 3c 74 79 70 65 3e 66 69 74 60 60 20 66 75 6e 63 74 69	....See.the.``<type>fit``.functi
5da0	6f 6e 73 20 66 6f 72 20 6d 6f 72 65 20 64 65 74 61 69 6c 0a 20 20 20 20 72 5b 00 00 00 72 0f 00	ons.for.more.detail.....r[...r..
5dc0	00 00 da 02 69 75 72 02 00 00 00 7a 30 64 65 67 20 6d 75 73 74 20 62 65 20 61 6e 20 69 6e 74 20	....iur....z0deg.must.be.an.int.
5de0	6f 72 20 6e 6f 6e 2d 65 6d 70 74 79 20 31 2d 44 20 61 72 72 61 79 20 6f 66 20 69 6e 74 7a 11 65	or.non-empty.1-D.array.of.intz.e
5e00	78 70 65 63 74 65 64 20 64 65 67 20 3e 3d 20 30 7a 18 65 78 70 65 63 74 65 64 20 31 44 20 76 65	xpected.deg.>=.0z.expected.1D.ve
5e20	63 74 6f 72 20 66 6f 72 20 78 7a 1f 65 78 70 65 63 74 65 64 20 6e 6f 6e 2d 65 6d 70 74 79 20 76	ctor.for.xz.expected.non-empty.v
5e40	65 63 74 6f 72 20 66 6f 72 20 78 72 70 00 00 00 7a 1d 65 78 70 65 63 74 65 64 20 31 44 20 6f 72	ector.for.xrp...z.expected.1D.or
5e60	20 32 44 20 61 72 72 61 79 20 66 6f 72 20 79 7a 24 65 78 70 65 63 74 65 64 20 78 20 61 6e 64 20	.2D.array.for.yz$expected.x.and.
5e80	79 20 74 6f 20 68 61 76 65 20 73 61 6d 65 20 6c 65 6e 67 74 68 72 0e 00 00 00 4e 7a 18 65 78 70	y.to.have.same.lengthr....Nz.exp
5ea0	65 63 74 65 64 20 31 44 20 76 65 63 74 6f 72 20 66 6f 72 20 77 7a 24 65 78 70 65 63 74 65 64 20	ected.1D.vector.for.wz$expected.
5ec0	78 20 61 6e 64 20 77 20 74 6f 20 68 61 76 65 20 73 61 6d 65 20 6c 65 6e 67 74 68 72 1a 00 00 00	x.and.w.to.have.same.lengthr....
5ee0	7a 21 54 68 65 20 66 69 74 20 6d 61 79 20 62 65 20 70 6f 6f 72 6c 79 20 63 6f 6e 64 69 74 69 6f	z!The.fit.may.be.poorly.conditio
5f00	6e 65 64 29 01 da 0a 73 74 61 63 6b 6c 65 76 65 6c 29 1d 72 1b 00 00 00 72 63 00 00 00 72 1f 00	ned)...stacklevel).r....rc...r..
5f20	00 00 72 19 00 00 00 da 04 6b 69 6e 64 72 1d 00 00 00 da 09 54 79 70 65 45 72 72 6f 72 72 3b 00	..r......kindr......TypeErrorr;.
5f40	00 00 72 1e 00 00 00 72 10 00 00 00 72 72 00 00 00 da 01 54 da 05 66 69 6e 66 6f da 03 65 70 73	..r....r....rr.....T..finfo..eps
5f60	da 0a 69 73 73 75 62 63 6c 61 73 73 72 4d 00 00 00 da 0f 63 6f 6d 70 6c 65 78 66 6c 6f 61 74 69	..issubclassrM.....complexfloati
5f80	6e 67 da 04 73 71 72 74 da 06 73 71 75 61 72 65 72 3a 00 00 00 72 3d 00 00 00 da 03 73 75 6d da	ng..sqrt..squarer:...r=.....sum.
5fa0	06 6c 69 6e 61 6c 67 da 05 6c 73 74 73 71 da 05 7a 65 72 6f 73 72 6c 00 00 00 da 08 77 61 72 6e	.linalg..lstsq..zerosrl.....warn
5fc0	69 6e 67 73 da 04 77 61 72 6e 72 05 00 00 00 29 13 da 08 76 61 6e 64 65 72 5f 66 72 3f 00 00 00	ings..warnr....)...vander_fr?...
5fe0	da 01 79 da 03 64 65 67 da 05 72 63 6f 6e 64 da 04 66 75 6c 6c da 01 77 da 04 6c 6d 61 78 da 05	..y..deg..rcond..full..w..lmax..
6000	6f 72 64 65 72 da 03 76 61 6e da 03 6c 68 73 da 03 72 68 73 72 4b 00 00 00 72 32 00 00 00 da 06	order..van..lhs..rhsrK...r2.....
6020	72 65 73 69 64 73 da 04 72 61 6e 6b da 01 73 da 02 63 63 da 03 6d 73 67 73 13 00 00 00 20 20 20	resids..rank..s..cc..msgs.......
6040	20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 72 14 00 00 00 da 04 5f 66 69 74 72 be 00 00 00	................r......_fitr....
6060	48 02 00 00 73 3b 03 00 00 80 00 f4 16 00 09 0b 8f 0a 89 0a 90 31 8b 0d 98 03 d1 08 1b 80 41 dc	H...s;...............1........A.
6080	08 0a 8f 0a 89 0a 90 31 8b 0d 98 03 d1 08 1b 80 41 dc 0a 0c 8f 2a 89 2a 90 53 8b 2f 80 43 f0 06	.......1........A....*.*.S./.C..
60a0	00 08 0b 87 78 81 78 90 21 82 7c 90 73 97 79 91 79 97 7e 91 7e a8 54 d1 17 31 b0 53 b7 58 b1 58	....x.x.!.|.s.y.y.~.~.T..1.S.X.X
60c0	c0 11 b2 5d dc 0e 17 d0 18 4a d3 0e 4b d0 08 4b d8 07 0a 87 77 81 77 83 79 90 31 82 7d dc 0e 18	...].....J..K..K....w.w.y.1.}...
60e0	d0 19 2c d3 0e 2d d0 08 2d d8 07 08 87 76 81 76 90 11 82 7b dc 0e 17 d0 18 32 d3 0e 33 d0 08 33	..,..-..-....v.v...{.....2..3..3
6100	d8 07 08 87 76 81 76 90 11 82 7b dc 0e 17 d0 18 39 d3 0e 3a d0 08 3a d8 07 08 87 76 81 76 90 01	....v.v...{.....9..:..:....v.v..
6120	82 7a 90 51 97 56 91 56 98 61 92 5a dc 0e 17 d0 18 37 d3 0e 38 d0 08 38 dc 07 0a 88 31 83 76 94	.z.Q.V.V.a.Z.....7..8..8....1.v.
6140	13 90 51 93 16 d2 07 17 dc 0e 17 d0 18 3e d3 0e 3f d0 08 3f e0 07 0a 87 78 81 78 90 31 82 7d d8	..Q..........>..?..?....x.x.1.}.
6160	0f 12 88 04 d8 10 14 90 71 91 08 88 05 d9 0e 16 90 71 98 24 d3 0e 1f 89 03 e4 0e 10 8f 67 89 67	........q........q.$.........g.g
6180	90 63 8b 6c 88 03 d8 0f 12 90 32 89 77 88 04 dc 10 13 90 43 93 08 88 05 d9 0e 16 90 71 98 24 d3	.c.l......2.w......C........q.$.
61a0	0e 1f a2 01 a0 33 a0 06 d1 0e 27 88 03 f0 06 00 0b 0e 8f 25 89 25 80 43 d8 0a 0b 8f 23 89 23 80	.....3....'........%.%.C....#.#.
61c0	43 d8 07 08 80 7d dc 0c 0e 8f 4a 89 4a 90 71 8b 4d 98 43 d1 0c 1f 88 01 d8 0b 0c 8f 36 89 36 90	C....}....J.J.q.M.C.........6.6.
61e0	51 8a 3b dc 12 1b d0 1c 36 d3 12 37 d0 0c 37 dc 0b 0e 88 71 8b 36 94 53 98 11 93 56 d2 0b 1b dc	Q.;.....6..7..7....q.6.S...V....
6200	12 1b d0 1c 42 d3 12 43 d0 0c 43 f0 06 00 0f 12 90 41 89 67 88 03 d8 0e 11 90 41 89 67 88 03 f0	....B..C..C......A.g......A.g...
6220	06 00 08 0d 80 7d dc 10 13 90 41 93 06 9c 12 9f 18 99 18 a0 21 a7 27 a1 27 d3 19 2a d7 19 2e d1	.....}....A.........!.'.'..*....
6240	19 2e d1 10 2e 88 05 f4 06 00 08 12 90 23 97 29 91 29 97 2e 91 2e a4 22 d7 22 34 d1 22 34 d4 07	.............#.).)....."."4."4..
6260	35 dc 0e 10 8f 67 89 67 94 72 97 79 91 79 a0 13 a7 18 a1 18 d3 17 2a ac 52 af 59 a9 59 b0 73 b7	5....g.g.r.y.y........*.R.Y.Y.s.
6280	78 b1 78 d3 2d 40 d1 17 40 d7 16 45 d1 16 45 c0 61 d3 16 48 d3 0e 49 89 03 e4 0e 10 8f 67 89 67	x.x.-@..@..E..E.a..H..I......g.g
62a0	94 62 97 69 91 69 a0 03 93 6e d7 16 28 d1 16 28 a8 11 d3 16 2b d3 0e 2c 88 03 d8 14 15 80 43 88	.b.i.i...n..(..(....+..,......C.
62c0	03 88 71 89 08 81 4d f4 06 00 1a 1c 9f 19 99 19 9f 1f 99 1f a8 13 af 15 a9 15 b0 13 a9 1b b0 63	..q...M........................c
62e0	b7 65 b1 65 b8 55 d3 19 43 d1 04 16 80 41 80 76 88 74 90 51 d8 09 0a 8f 13 89 13 88 73 89 19 8f	.e.e.U..C....A.v.t.Q........s...
6300	0d 89 0d 80 41 f0 06 00 08 0b 87 78 81 78 90 21 82 7c d8 0b 0c 8f 36 89 36 90 51 8a 3b dc 11 13	....A......x.x.!.|....6.6.Q.;...
6320	97 18 91 18 98 34 a0 21 99 38 a0 51 a7 57 a1 57 a8 51 a1 5a d0 1a 30 b8 01 bf 07 b9 07 d4 11 40	.....4.!.8.Q.W.W.Q.Z..0........@
6340	89 42 e4 11 13 97 18 91 18 98 24 a0 11 99 28 a8 21 af 27 a9 27 d4 11 32 88 42 d8 12 13 88 02 88	.B........$...(.!.'.'..2.B......
6360	33 89 07 d8 0c 0e 88 01 f0 06 00 08 0c 88 75 82 7d 99 54 d8 0e 31 88 03 dc 08 10 8f 0d 89 0d 90	3.............u.}.T..1..........
6380	63 9c 3b b0 31 d5 08 35 e1 07 0b d8 0f 10 90 36 98 34 a0 11 a0 45 d0 12 2a d0 0f 2a d0 08 2a e0	c.;.1..5.......6.4...E..*..*..*.
63a0	0f 10 88 08 72 15 00 00 00 63 04 00 00 00 00 00 00 00 00 00 00 00 05 00 00 00 03 00 00 00 f3 20	....r....c......................
63c0	01 00 00 97 00 74 01 00 00 00 00 00 00 00 00 7c 01 67 01 ab 01 00 00 00 00 00 00 5c 01 00 00 7d	.....t.........|.g.........\...}
63e0	01 74 03 00 00 00 00 00 00 00 00 7c 02 ab 01 00 00 00 00 00 00 7d 04 7c 04 7c 02 6b 37 00 00 73	.t.........|.........}.|.|.k7..s
6400	05 7c 04 64 01 6b 02 00 00 72 0b 74 05 00 00 00 00 00 00 00 00 64 02 ab 01 00 00 00 00 00 00 82	.|.d.k...r.t.........d..........
6420	01 7c 03 81 10 7c 04 7c 03 6b 44 00 00 72 0b 74 05 00 00 00 00 00 00 00 00 64 03 ab 01 00 00 00	.|...|.|.kD..r.t.........d......
6440	00 00 00 82 01 7c 04 64 01 6b 28 00 00 72 22 74 07 00 00 00 00 00 00 00 00 6a 08 00 00 00 00 00	.....|.d.k(..r"t.........j......
6460	00 00 00 00 00 00 00 00 00 00 00 00 00 64 04 67 01 7c 01 6a 0a 00 00 00 00 00 00 00 00 00 00 00	.............d.g.|.j............
6480	00 00 00 00 00 00 00 ac 05 ab 02 00 00 00 00 00 00 53 00 7c 04 64 04 6b 28 00 00 72 02 7c 01 53	.................S.|.d.k(..r.|.S
64a0	00 7c 01 7d 05 74 0d 00 00 00 00 00 00 00 00 64 06 7c 04 64 04 7a 00 00 00 ab 02 00 00 00 00 00	.|.}.t.........d.|.d.z..........
64c0	00 44 00 5d 0b 00 00 7d 06 02 00 7c 00 7c 05 7c 01 ab 02 00 00 00 00 00 00 7d 05 8c 0d 04 00 7c	.D.]...}...|.|.|.........}.....|
64e0	05 53 00 29 07 61 66 01 00 00 0a 20 20 20 20 48 65 6c 70 65 72 20 66 75 6e 63 74 69 6f 6e 20 75	.S.).af........Helper.function.u
6500	73 65 64 20 74 6f 20 69 6d 70 6c 65 6d 65 6e 74 20 74 68 65 20 60 60 3c 74 79 70 65 3e 70 6f 77	sed.to.implement.the.``<type>pow
6520	60 60 20 66 75 6e 63 74 69 6f 6e 73 2e 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20	``.functions.......Parameters...
6540	20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 6d 75 6c 5f 66 20 3a 20 66 75 6e 63 74 69 6f	..----------.....mul_f.:.functio
6560	6e 28 61 72 72 61 79 5f 6c 69 6b 65 2c 20 61 72 72 61 79 5f 6c 69 6b 65 29 20 2d 3e 20 6e 64 61	n(array_like,.array_like).->.nda
6580	72 72 61 79 0a 20 20 20 20 20 20 20 20 54 68 65 20 60 60 3c 74 79 70 65 3e 6d 75 6c 60 60 20 66	rray.........The.``<type>mul``.f
65a0	75 6e 63 74 69 6f 6e 2c 20 73 75 63 68 20 61 73 20 60 60 70 6f 6c 79 6d 75 6c 60 60 0a 20 20 20	unction,.such.as.``polymul``....
65c0	20 63 20 3a 20 61 72 72 61 79 5f 6c 69 6b 65 0a 20 20 20 20 20 20 20 20 31 2d 44 20 61 72 72 61	.c.:.array_like.........1-D.arra
65e0	79 20 6f 66 20 61 72 72 61 79 20 6f 66 20 73 65 72 69 65 73 20 63 6f 65 66 66 69 63 69 65 6e 74	y.of.array.of.series.coefficient
6600	73 0a 20 20 20 20 70 6f 77 2c 20 6d 61 78 70 6f 77 65 72 0a 20 20 20 20 20 20 20 20 53 65 65 20	s.....pow,.maxpower.........See.
6620	74 68 65 20 60 60 3c 74 79 70 65 3e 70 6f 77 60 60 20 66 75 6e 63 74 69 6f 6e 73 20 66 6f 72 20	the.``<type>pow``.functions.for.
6640	6d 6f 72 65 20 64 65 74 61 69 6c 0a 20 20 20 20 72 02 00 00 00 7a 25 50 6f 77 65 72 20 6d 75 73	more.detail.....r....z%Power.mus
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6780	09 0e 90 21 8a 1a d8 0f 10 88 08 f0 08 00 0f 10 88 03 dc 11 16 90 71 98 25 a0 21 99 29 d3 11 24	...!..................q.%.!.)..$
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6c40	ab 05 00 00 00 00 00 00 7d 07 7c 01 72 08 64 12 7c 07 7a 00 00 00 64 13 7a 00 00 00 7d 07 7c 07	........}.|.r.d.|.z...d.z...}.|.
6c60	53 00 74 17 00 00 00 00 00 00 00 00 7c 00 7c 02 64 07 19 00 00 00 64 0a 7c 06 7c 05 7c 02 64 0f	S.t.........|.|.d.....d.|.|.|.d.
6c80	19 00 00 00 64 10 6b 28 00 00 ac 14 ab 06 00 00 00 00 00 00 7d 07 7c 07 53 00 29 15 4e da 06 6e	....d.k(............}.|.S.).N..n
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6ce0	6c 6f 61 74 6d 6f 64 65 da 05 66 69 78 65 64 29 02 da 01 6b 46 da 04 73 69 67 6e fa 01 2b 29 04	loatmode..fixed)...kF..sign..+).
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6da0	00 da 06 70 61 72 65 6e 73 da 04 6f 70 74 73 da 0a 65 78 70 5f 66 6f 72 6d 61 74 72 28 00 00 00	...parens..opts..exp_formatr(...
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6e80	3e d0 27 3f c0 31 d1 27 44 d3 20 45 d1 1c 45 d2 18 45 d8 19 1d 88 4a e0 13 1c 81 4c 80 44 88 26	>.'?.1.'D..E..E..E....J....L.D.&
6ea0	d8 07 0b 88 4b d1 07 18 98 47 d2 07 23 d8 17 21 89 0c 88 04 88 66 e1 07 11 dc 0c 1e 98 71 a8 44	....K....G..#..!.....f.......q.D
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6ee0	0c 12 d8 10 13 90 61 91 07 98 23 91 0d 88 41 f0 0c 00 0c 0d 80 48 f4 09 00 0d 1f 98 71 a8 44 b0	......a...#...A......H......q.D.
6f00	1b d1 2c 3d d8 2a 2e d8 26 2c b0 34 d8 24 28 a8 16 a1 4c b0 43 d1 24 37 f4 07 03 0d 39 88 01 f0	..,=.*..&,.4.$(...L.C.$7....9...
6f20	08 00 0c 0d 80 48 72 15 00 00 00 29 01 54 29 01 72 02 00 00 00 29 03 4e 46 4e 29 01 46 29 1f da	.....Hr....).T).r....).NFN).F)..
6f40	07 5f 5f 64 6f 63 5f 5f 72 64 00 00 00 72 66 00 00 00 72 ac 00 00 00 da 05 6e 75 6d 70 79 72 1b	.__doc__rd...rf...r......numpyr.
6f60	00 00 00 da 16 6e 75 6d 70 79 2e 5f 63 6f 72 65 2e 6d 75 6c 74 69 61 72 72 61 79 72 03 00 00 00	.....numpy._core.multiarrayr....
6f80	72 04 00 00 00 da 10 6e 75 6d 70 79 2e 65 78 63 65 70 74 69 6f 6e 73 72 05 00 00 00 da 07 5f 5f	r......numpy.exceptionsr......__
6fa0	61 6c 6c 5f 5f 72 07 00 00 00 72 06 00 00 00 72 08 00 00 00 72 09 00 00 00 72 0b 00 00 00 72 0a	all__r....r....r....r....r....r.
6fc0	00 00 00 72 59 00 00 00 72 69 00 00 00 72 6e 00 00 00 72 7b 00 00 00 72 89 00 00 00 72 8b 00 00	...rY...ri...rn...r{...r....r...
6fe0	00 72 95 00 00 00 72 99 00 00 00 72 9b 00 00 00 72 be 00 00 00 72 c4 00 00 00 72 c8 00 00 00 72	.r....r....r....r....r....r....r
7000	0c 00 00 00 72 45 00 00 00 72 15 00 00 00 72 14 00 00 00 fa 08 3c 6d 6f 64 75 6c 65 3e 72 e6 00	....rE...r....r......<module>r..
7020	00 00 01 00 00 00 73 92 00 00 00 f0 03 01 01 01 f1 02 13 01 04 f3 28 00 01 11 db 00 0f db 00 0f	......s...............(.........
7040	e3 00 12 df 00 49 dd 00 28 f2 04 02 0b 14 80 07 f2 0e 1a 01 1b f3 3a 4e 01 01 0f f3 62 02 30 01	.....I..(.............:N....b.0.
7060	26 f2 64 01 2d 01 2c f2 5e 01 2d 01 14 f2 5e 01 43 01 01 19 f2 4c 02 03 01 15 f2 0c 42 01 01 39	&.d.-.,.^.-...^.C....L......B..9
7080	f2 4a 02 07 01 36 f2 14 1b 01 14 f2 3c 1b 01 0d f2 3c 0d 01 0d f2 20 21 01 21 f2 48 01 0a 01 18	.J...6......<....<.....!.!.H....
70a0	f2 1a 0b 01 18 f3 1c 55 01 01 11 f2 70 02 1e 01 13 f2 42 01 13 01 4b 01 f4 2c 20 01 0d 72 15 00	.......U....p.....B...K..,...r..
70c0	00 00	..