Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,7,Mod(2,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.h (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.83113575602\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.13 | ||
Character | \(\chi\) | \(=\) | 21.11 |
Dual form | 21.7.h.a.2.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 11.1103 | − | 6.41456i | 1.38879 | − | 0.801820i | 0.395614 | − | 0.918417i | \(-0.370532\pi\) |
0.993179 | + | 0.116597i | \(0.0371986\pi\) | |||||||
\(3\) | 26.9925 | + | 0.635931i | 0.999723 | + | 0.0235530i | ||||
\(4\) | 50.2932 | − | 87.1103i | 0.785831 | − | 1.36110i | ||||
\(5\) | −38.4659 | + | 22.2083i | −0.307727 | + | 0.177666i | −0.645909 | − | 0.763414i | \(-0.723521\pi\) |
0.338182 | + | 0.941081i | \(0.390188\pi\) | |||||||
\(6\) | 303.975 | − | 166.080i | 1.40729 | − | 0.768887i | ||||
\(7\) | −244.854 | + | 240.199i | −0.713861 | + | 0.700287i | ||||
\(8\) | − | 469.371i | − | 0.916739i | ||||||
\(9\) | 728.191 | + | 34.3307i | 0.998891 | + | 0.0470929i | ||||
\(10\) | −284.913 | + | 493.483i | −0.284913 | + | 0.493483i | ||||
\(11\) | −1976.59 | − | 1141.18i | −1.48504 | − | 0.857389i | −0.485186 | − | 0.874411i | \(-0.661248\pi\) |
−0.999855 | + | 0.0170219i | \(0.994581\pi\) | |||||||
\(12\) | 1412.94 | − | 2319.34i | 0.817671 | − | 1.34221i | ||||
\(13\) | 1632.89 | 0.743235 | 0.371617 | − | 0.928386i | \(-0.378803\pi\) | ||||
0.371617 | + | 0.928386i | \(0.378803\pi\) | |||||||
\(14\) | −1179.65 | + | 4239.32i | −0.429901 | + | 1.54494i | ||||
\(15\) | −1052.41 | + | 574.996i | −0.311826 | + | 0.170369i | ||||
\(16\) | 207.957 | + | 360.192i | 0.0507707 | + | 0.0879374i | ||||
\(17\) | 565.551 | + | 326.521i | 0.115113 | + | 0.0664606i | 0.556451 | − | 0.830880i | \(-0.312163\pi\) |
−0.441338 | + | 0.897341i | \(0.645496\pi\) | |||||||
\(18\) | 8310.67 | − | 4289.60i | 1.42501 | − | 0.735528i | ||||
\(19\) | 1432.18 | + | 2480.60i | 0.208803 | + | 0.361657i | 0.951338 | − | 0.308151i | \(-0.0997101\pi\) |
−0.742535 | + | 0.669807i | \(0.766377\pi\) | |||||||
\(20\) | 4467.70i | 0.558463i | ||||||||
\(21\) | −6761.98 | + | 6327.85i | −0.730157 | + | 0.683279i | ||||
\(22\) | −29280.8 | −2.74989 | ||||||||
\(23\) | −5700.94 | + | 3291.44i | −0.468558 | + | 0.270522i | −0.715636 | − | 0.698474i | \(-0.753863\pi\) |
0.247078 | + | 0.968996i | \(0.420530\pi\) | |||||||
\(24\) | 298.487 | − | 12669.5i | 0.0215920 | − | 0.916485i | ||||
\(25\) | −6826.08 | + | 11823.1i | −0.436869 | + | 0.756680i | ||||
\(26\) | 18141.9 | − | 10474.3i | 1.03220 | − | 0.595941i | ||||
\(27\) | 19633.9 | + | 1389.75i | 0.997504 | + | 0.0706067i | ||||
\(28\) | 8609.27 | + | 33409.7i | 0.392186 | + | 1.52194i | ||||
\(29\) | − | 31946.0i | − | 1.30985i | −0.755693 | − | 0.654926i | \(-0.772700\pi\) | ||
0.755693 | − | 0.654926i | \(-0.227300\pi\) | |||||||
\(30\) | −8004.33 | + | 13139.2i | −0.296457 | + | 0.486636i | ||||
\(31\) | 23450.7 | − | 40617.8i | 0.787174 | − | 1.36343i | −0.140518 | − | 0.990078i | \(-0.544877\pi\) |
0.927692 | − | 0.373347i | \(-0.121790\pi\) | |||||||
\(32\) | 30636.1 | + | 17687.8i | 0.934940 | + | 0.539788i | ||||
\(33\) | −52627.4 | − | 32060.4i | −1.46444 | − | 0.892128i | ||||
\(34\) | 8377.96 | 0.213158 | ||||||||
\(35\) | 4084.14 | − | 14677.2i | 0.0952570 | − | 0.342326i | ||||
\(36\) | 39613.6 | − | 61706.4i | 0.849057 | − | 1.32258i | ||||
\(37\) | 12837.6 | + | 22235.3i | 0.253442 | + | 0.438974i | 0.964471 | − | 0.264188i | \(-0.0851041\pi\) |
−0.711029 | + | 0.703162i | \(0.751771\pi\) | |||||||
\(38\) | 31824.0 | + | 18373.6i | 0.579967 | + | 0.334844i | ||||
\(39\) | 44075.7 | + | 1038.40i | 0.743029 | + | 0.0175054i | ||||
\(40\) | 10423.9 | + | 18054.8i | 0.162874 | + | 0.282106i | ||||
\(41\) | − | 90943.6i | − | 1.31953i | −0.751470 | − | 0.659767i | \(-0.770655\pi\) | ||
0.751470 | − | 0.659767i | \(-0.229345\pi\) | |||||||
\(42\) | −34537.6 | + | 113680.i | −0.466170 | + | 1.53439i | ||||
\(43\) | −87735.6 | −1.10350 | −0.551748 | − | 0.834011i | \(-0.686039\pi\) | ||||
−0.551748 | + | 0.834011i | \(0.686039\pi\) | |||||||
\(44\) | −198818. | + | 114788.i | −2.33398 | + | 1.34753i | ||||
\(45\) | −28772.9 | + | 14851.3i | −0.315752 | + | 0.162977i | ||||
\(46\) | −42226.3 | + | 73138.0i | −0.433820 | + | 0.751398i | ||||
\(47\) | −14076.8 | + | 8127.24i | −0.135585 | + | 0.0782798i | −0.566258 | − | 0.824228i | \(-0.691609\pi\) |
0.430673 | + | 0.902508i | \(0.358276\pi\) | |||||||
\(48\) | 5384.22 | + | 9854.73i | 0.0486854 | + | 0.0891089i | ||||
\(49\) | 2258.34 | − | 117627.i | 0.0191956 | − | 0.999816i | ||||
\(50\) | 175145.i | 1.40116i | ||||||||
\(51\) | 15058.0 | + | 9173.27i | 0.113516 | + | 0.0691534i | ||||
\(52\) | 82123.1 | − | 142241.i | 0.584057 | − | 1.01162i | ||||
\(53\) | −54963.5 | − | 31733.2i | −0.369187 | − | 0.213150i | 0.303916 | − | 0.952699i | \(-0.401706\pi\) |
−0.673103 | + | 0.739548i | \(0.735039\pi\) | |||||||
\(54\) | 227054. | − | 110502.i | 1.44194 | − | 0.701761i | ||||
\(55\) | 101375. | 0.609316 | ||||||||
\(56\) | 112742. | + | 114927.i | 0.641981 | + | 0.654425i | ||||
\(57\) | 37080.6 | + | 67868.5i | 0.200227 | + | 0.366474i | ||||
\(58\) | −204919. | − | 354931.i | −1.05027 | − | 1.81911i | ||||
\(59\) | 57358.9 | + | 33116.2i | 0.279283 | + | 0.161244i | 0.633099 | − | 0.774071i | \(-0.281783\pi\) |
−0.353816 | + | 0.935315i | \(0.615116\pi\) | |||||||
\(60\) | −2841.15 | + | 120594.i | −0.0131535 | + | 0.558308i | ||||
\(61\) | 226744. | + | 392733.i | 0.998957 | + | 1.73024i | 0.539022 | + | 0.842291i | \(0.318794\pi\) |
0.459935 | + | 0.887953i | \(0.347873\pi\) | |||||||
\(62\) | − | 601704.i | − | 2.52469i | ||||||
\(63\) | −186547. | + | 166504.i | −0.746048 | + | 0.665892i | ||||
\(64\) | 427218. | 1.62971 | ||||||||
\(65\) | −62810.4 | + | 36263.6i | −0.228713 | + | 0.132048i | ||||
\(66\) | −790362. | − | 18620.6i | −2.74912 | − | 0.0647681i | ||||
\(67\) | 22352.1 | − | 38714.9i | 0.0743179 | − | 0.128722i | −0.826472 | − | 0.562979i | \(-0.809655\pi\) |
0.900789 | + | 0.434256i | \(0.142989\pi\) | |||||||
\(68\) | 56886.7 | − | 32843.6i | 0.180919 | − | 0.104454i | ||||
\(69\) | −155976. | + | 85218.8i | −0.474799 | + | 0.259411i | ||||
\(70\) | −48771.8 | − | 189267.i | −0.142192 | − | 0.551799i | ||||
\(71\) | − | 133341.i | − | 0.372554i | −0.982497 | − | 0.186277i | \(-0.940358\pi\) | ||
0.982497 | − | 0.186277i | \(-0.0596422\pi\) | |||||||
\(72\) | 16113.8 | − | 341792.i | 0.0431719 | − | 0.915722i | ||||
\(73\) | −259235. | + | 449009.i | −0.666385 | + | 1.15421i | 0.312523 | + | 0.949910i | \(0.398826\pi\) |
−0.978908 | + | 0.204303i | \(0.934507\pi\) | |||||||
\(74\) | 285260. | + | 164695.i | 0.703956 | + | 0.406429i | ||||
\(75\) | −191772. | + | 314795.i | −0.454570 | + | 0.746180i | ||||
\(76\) | 288115. | 0.656334 | ||||||||
\(77\) | 758088. | − | 195350.i | 1.66053 | − | 0.427899i | ||||
\(78\) | 496357. | − | 271189.i | 1.04595 | − | 0.571464i | ||||
\(79\) | −73802.1 | − | 127829.i | −0.149688 | − | 0.259267i | 0.781424 | − | 0.624000i | \(-0.214494\pi\) |
−0.931112 | + | 0.364733i | \(0.881160\pi\) | |||||||
\(80\) | −15998.5 | − | 9236.73i | −0.0312470 | − | 0.0180405i | ||||
\(81\) | 529084. | + | 49998.7i | 0.995565 | + | 0.0940813i | ||||
\(82\) | −583363. | − | 1.01041e6i | −1.05803 | − | 1.83256i | ||||
\(83\) | 281251.i | 0.491881i | 0.969285 | + | 0.245941i | \(0.0790968\pi\) | ||||
−0.969285 | + | 0.245941i | \(0.920903\pi\) | |||||||
\(84\) | 211140. | + | 907286.i | 0.356231 | + | 1.53076i | ||||
\(85\) | −29005.9 | −0.0472312 | ||||||||
\(86\) | −974772. | + | 562785.i | −1.53253 | + | 0.884804i | ||||
\(87\) | 20315.4 | − | 862302.i | 0.0308509 | − | 1.30949i | ||||
\(88\) | −535639. | + | 927753.i | −0.786002 | + | 1.36140i | ||||
\(89\) | −469964. | + | 271334.i | −0.666644 | + | 0.384887i | −0.794804 | − | 0.606866i | \(-0.792426\pi\) |
0.128160 | + | 0.991754i | \(0.459093\pi\) | |||||||
\(90\) | −224413. | + | 349569.i | −0.307836 | + | 0.479519i | ||||
\(91\) | −399819. | + | 392217.i | −0.530566 | + | 0.520478i | ||||
\(92\) | 662148.i | 0.850337i | ||||||||
\(93\) | 658823. | − | 1.08146e6i | 0.819068 | − | 1.34451i | ||||
\(94\) | −104265. | + | 180593.i | −0.125533 | + | 0.217429i | ||||
\(95\) | −110180. | − | 63612.4i | −0.128508 | − | 0.0741944i | ||||
\(96\) | 815697. | + | 496920.i | 0.921967 | + | 0.561659i | ||||
\(97\) | 89556.3 | 0.0981253 | 0.0490627 | − | 0.998796i | \(-0.484377\pi\) | ||||
0.0490627 | + | 0.998796i | \(0.484377\pi\) | |||||||
\(98\) | −729437. | − | 1.32137e6i | −0.775014 | − | 1.40393i | ||||
\(99\) | −1.40016e6 | − | 898858.i | −1.44302 | − | 0.926373i | ||||
\(100\) | 686611. | + | 1.18924e6i | 0.686611 | + | 1.18924i | ||||
\(101\) | 896691. | + | 517705.i | 0.870320 | + | 0.502479i | 0.867454 | − | 0.497517i | \(-0.165755\pi\) |
0.00286511 | + | 0.999996i | \(0.499088\pi\) | |||||||
\(102\) | 226142. | + | 5327.80i | 0.213099 | + | 0.00502050i | ||||
\(103\) | 228566. | + | 395888.i | 0.209170 | + | 0.362294i | 0.951453 | − | 0.307793i | \(-0.0995903\pi\) |
−0.742283 | + | 0.670086i | \(0.766257\pi\) | |||||||
\(104\) | − | 766429.i | − | 0.681353i | ||||||
\(105\) | 119575. | − | 393578.i | 0.103293 | − | 0.339988i | ||||
\(106\) | −814218. | −0.683633 | ||||||||
\(107\) | −1.08784e6 | + | 628062.i | −0.887998 | + | 0.512686i | −0.873287 | − | 0.487206i | \(-0.838016\pi\) |
−0.0147107 | + | 0.999892i | \(0.504683\pi\) | |||||||
\(108\) | 1.10851e6 | − | 1.64042e6i | 0.879972 | − | 1.30222i | ||||
\(109\) | 747136. | − | 1.29408e6i | 0.576926 | − | 0.999265i | −0.418904 | − | 0.908031i | \(-0.637586\pi\) |
0.995829 | − | 0.0912340i | \(-0.0290811\pi\) | |||||||
\(110\) | 1.12631e6 | − | 650276.i | 0.846214 | − | 0.488562i | ||||
\(111\) | 332378. | + | 608351.i | 0.243032 | + | 0.444821i | ||||
\(112\) | −137437. | − | 38243.6i | −0.0978247 | − | 0.0272211i | ||||
\(113\) | 127575.i | 0.0884161i | 0.999022 | + | 0.0442081i | \(0.0140765\pi\) | ||||
−0.999022 | + | 0.0442081i | \(0.985924\pi\) | |||||||
\(114\) | 847324. | + | 516187.i | 0.571920 | + | 0.348411i | ||||
\(115\) | 146194. | − | 253216.i | 0.0961252 | − | 0.166494i | ||||
\(116\) | −2.78283e6 | − | 1.60667e6i | −1.78284 | − | 1.02932i | ||||
\(117\) | 1.18905e6 | + | 56058.2i | 0.742410 | + | 0.0350011i | ||||
\(118\) | 849703. | 0.517155 | ||||||||
\(119\) | −216908. | + | 55894.4i | −0.128716 | + | 0.0331686i | ||||
\(120\) | 269886. | + | 493972.i | 0.156184 | + | 0.285863i | ||||
\(121\) | 1.71882e6 | + | 2.97709e6i | 0.970232 | + | 1.68049i | ||||
\(122\) | 5.03841e6 | + | 2.90893e6i | 2.77469 | + | 1.60197i | ||||
\(123\) | 57833.8 | − | 2.45480e6i | 0.0310790 | − | 1.31917i | ||||
\(124\) | −2.35882e6 | − | 4.08560e6i | −1.23717 | − | 2.14284i | ||||
\(125\) | − | 1.30039e6i | − | 0.665800i | ||||||
\(126\) | −1.00455e6 | + | 3.04654e6i | −0.502180 | + | 1.52298i | ||||
\(127\) | −1.98508e6 | −0.969095 | −0.484548 | − | 0.874765i | \(-0.661016\pi\) | ||||
−0.484548 | + | 0.874765i | \(0.661016\pi\) | |||||||
\(128\) | 2.78583e6 | − | 1.60840e6i | 1.32839 | − | 0.766946i | ||||
\(129\) | −2.36820e6 | − | 55793.7i | −1.10319 | − | 0.0259906i | ||||
\(130\) | −465230. | + | 805803.i | −0.211757 | + | 0.366774i | ||||
\(131\) | −2.98659e6 | + | 1.72431e6i | −1.32850 | + | 0.767010i | −0.985068 | − | 0.172168i | \(-0.944923\pi\) |
−0.343432 | + | 0.939178i | \(0.611590\pi\) | |||||||
\(132\) | −5.43959e6 | + | 2.97197e6i | −2.36507 | + | 1.29218i | ||||
\(133\) | −946512. | − | 263380.i | −0.402320 | − | 0.111951i | ||||
\(134\) | − | 573515.i | − | 0.238358i | ||||||
\(135\) | −786098. | + | 382577.i | −0.319503 | + | 0.155495i | ||||
\(136\) | 153259. | − | 265453.i | 0.0609271 | − | 0.105529i | ||||
\(137\) | 2.05544e6 | + | 1.18671e6i | 0.799363 | + | 0.461512i | 0.843248 | − | 0.537524i | \(-0.180640\pi\) |
−0.0438856 | + | 0.999037i | \(0.513974\pi\) | |||||||
\(138\) | −1.18630e6 | + | 1.94733e6i | −0.451397 | + | 0.740971i | ||||
\(139\) | 3.27319e6 | 1.21878 | 0.609392 | − | 0.792869i | \(-0.291414\pi\) | ||||
0.609392 | + | 0.792869i | \(0.291414\pi\) | |||||||
\(140\) | −1.07314e6 | − | 1.09394e6i | −0.391084 | − | 0.398665i | ||||
\(141\) | −385136. | + | 210423.i | −0.137391 | + | 0.0750647i | ||||
\(142\) | −855326. | − | 1.48147e6i | −0.298721 | − | 0.517401i | ||||
\(143\) | −3.22755e6 | − | 1.86343e6i | −1.10373 | − | 0.637241i | ||||
\(144\) | 139067. | + | 269428.i | 0.0465731 | + | 0.0902308i | ||||
\(145\) | 709466. | + | 1.22883e6i | 0.232717 | + | 0.403077i | ||||
\(146\) | 6.65152e6i | 2.13728i | ||||||||
\(147\) | 135761. | − | 3.17362e6i | 0.0427389 | − | 0.999086i | ||||
\(148\) | 2.58257e6 | 0.796649 | ||||||||
\(149\) | 3.09917e6 | − | 1.78931e6i | 0.936885 | − | 0.540911i | 0.0479027 | − | 0.998852i | \(-0.484746\pi\) |
0.888983 | + | 0.457941i | \(0.151413\pi\) | |||||||
\(150\) | −111380. | + | 4.72761e6i | −0.0330016 | + | 1.40077i | ||||
\(151\) | −370170. | + | 641153.i | −0.107515 | + | 0.186222i | −0.914763 | − | 0.403991i | \(-0.867623\pi\) |
0.807248 | + | 0.590213i | \(0.200956\pi\) | |||||||
\(152\) | 1.16432e6 | − | 672222.i | 0.331545 | − | 0.191418i | ||||
\(153\) | 400620. | + | 257186.i | 0.111856 | + | 0.0718079i | ||||
\(154\) | 7.16953e6 | − | 7.03320e6i | 1.96304 | − | 1.92571i | ||||
\(155\) | 2.08320e6i | 0.559417i | ||||||||
\(156\) | 2.30716e6 | − | 3.78723e6i | 0.607721 | − | 0.997579i | ||||
\(157\) | −186635. | + | 323262.i | −0.0482275 | + | 0.0835325i | −0.889131 | − | 0.457652i | \(-0.848691\pi\) |
0.840904 | + | 0.541184i | \(0.182024\pi\) | |||||||
\(158\) | −1.63993e6 | − | 946815.i | −0.415772 | − | 0.240046i | ||||
\(159\) | −1.46342e6 | − | 891512.i | −0.364065 | − | 0.221787i | ||||
\(160\) | −1.57126e6 | −0.383608 | ||||||||
\(161\) | 605301. | − | 2.17528e6i | 0.145042 | − | 0.521240i | ||||
\(162\) | 6.19902e6 | − | 2.83834e6i | 1.45807 | − | 0.667604i | ||||
\(163\) | −1.48642e6 | − | 2.57456e6i | −0.343225 | − | 0.594484i | 0.641804 | − | 0.766868i | \(-0.278186\pi\) |
−0.985030 | + | 0.172385i | \(0.944853\pi\) | |||||||
\(164\) | −7.92213e6 | − | 4.57384e6i | −1.79602 | − | 1.03693i | ||||
\(165\) | 2.73637e6 | + | 64467.5i | 0.609147 | + | 0.0143512i | ||||
\(166\) | 1.80410e6 | + | 3.12480e6i | 0.394400 | + | 0.683121i | ||||
\(167\) | 176945.i | 0.0379917i | 0.999820 | + | 0.0189958i | \(0.00604693\pi\) | ||||
−0.999820 | + | 0.0189958i | \(0.993953\pi\) | |||||||
\(168\) | 2.97011e6 | + | 3.17388e6i | 0.626389 | + | 0.669364i | ||||
\(169\) | −2.16049e6 | −0.447602 | ||||||||
\(170\) | −322265. | + | 186060.i | −0.0655944 | + | 0.0378710i | ||||
\(171\) | 957738. | + | 1.85552e6i | 0.191539 | + | 0.371089i | ||||
\(172\) | −4.41250e6 | + | 7.64267e6i | −0.867160 | + | 1.50197i | ||||
\(173\) | 739743. | − | 427091.i | 0.142871 | − | 0.0824864i | −0.426861 | − | 0.904317i | \(-0.640381\pi\) |
0.569731 | + | 0.821831i | \(0.307047\pi\) | |||||||
\(174\) | −5.30558e6 | − | 9.71079e6i | −1.00713 | − | 1.84335i | ||||
\(175\) | −1.16850e6 | − | 4.53456e6i | −0.218029 | − | 0.846098i | ||||
\(176\) | − | 949269.i | − | 0.174121i | ||||||
\(177\) | 1.52720e6 | + | 930365.i | 0.275408 | + | 0.167777i | ||||
\(178\) | −3.48097e6 | + | 6.02922e6i | −0.617221 | + | 1.06906i | ||||
\(179\) | −723180. | − | 417528.i | −0.126092 | − | 0.0727992i | 0.435627 | − | 0.900127i | \(-0.356527\pi\) |
−0.561719 | + | 0.827328i | \(0.689860\pi\) | |||||||
\(180\) | −153379. | + | 3.25334e6i | −0.0262996 | + | 0.557843i | ||||
\(181\) | 865510. | 0.145961 | 0.0729804 | − | 0.997333i | \(-0.476749\pi\) | ||||
0.0729804 | + | 0.997333i | \(0.476749\pi\) | |||||||
\(182\) | −1.92623e6 | + | 6.92233e6i | −0.319517 | + | 1.14825i | ||||
\(183\) | 5.87065e6 | + | 1.07450e7i | 0.957927 | + | 1.75329i | ||||
\(184\) | 1.54490e6 | + | 2.67585e6i | 0.247998 | + | 0.429545i | ||||
\(185\) | −987617. | − | 570201.i | −0.155982 | − | 0.0900561i | ||||
\(186\) | 382642. | − | 1.62415e7i | 0.0594639 | − | 2.52399i | ||||
\(187\) | −745242. | − | 1.29080e6i | −0.113965 | − | 0.197394i | ||||
\(188\) | 1.63498e6i | 0.246059i | ||||||||
\(189\) | −5.14126e6 | + | 4.37574e6i | −0.761525 | + | 0.648136i | ||||
\(190\) | −1.63218e6 | −0.237962 | ||||||||
\(191\) | 5.67532e6 | − | 3.27665e6i | 0.814499 | − | 0.470251i | −0.0340169 | − | 0.999421i | \(-0.510830\pi\) |
0.848516 | + | 0.529170i | \(0.177497\pi\) | |||||||
\(192\) | 1.15317e7 | + | 271681.i | 1.62926 | + | 0.0383845i | ||||
\(193\) | 603080. | − | 1.04457e6i | 0.0838887 | − | 0.145299i | −0.821028 | − | 0.570887i | \(-0.806599\pi\) |
0.904917 | + | 0.425588i | \(0.139933\pi\) | |||||||
\(194\) | 995002. | − | 574464.i | 0.136276 | − | 0.0786788i | ||||
\(195\) | −1.71847e6 | + | 938903.i | −0.231760 | + | 0.126624i | ||||
\(196\) | −1.01330e7 | − | 6.11258e6i | −1.34576 | − | 0.811813i | ||||
\(197\) | 2.27517e6i | 0.297588i | 0.988868 | + | 0.148794i | \(0.0475392\pi\) | ||||
−0.988868 | + | 0.148794i | \(0.952461\pi\) | |||||||
\(198\) | −2.13220e7 | − | 1.00523e6i | −2.74684 | − | 0.129500i | ||||
\(199\) | 222272. | − | 384987.i | 0.0282050 | − | 0.0488525i | −0.851578 | − | 0.524227i | \(-0.824354\pi\) |
0.879783 | + | 0.475375i | \(0.157688\pi\) | |||||||
\(200\) | 5.54943e6 | + | 3.20396e6i | 0.693678 | + | 0.400495i | ||||
\(201\) | 627959. | − | 1.03080e6i | 0.0773291 | − | 0.126936i | ||||
\(202\) | 1.32834e7 | 1.61159 | ||||||||
\(203\) | 7.67338e6 | + | 7.82212e6i | 0.917273 | + | 0.935053i | ||||
\(204\) | 1.55640e6 | − | 850354.i | 0.183329 | − | 0.100163i | ||||
\(205\) | 2.01970e6 | + | 3.49823e6i | 0.234437 | + | 0.406056i | ||||
\(206\) | 5.07890e6 | + | 2.93230e6i | 0.580989 | + | 0.335434i | ||||
\(207\) | −4.26437e6 | + | 2.20108e6i | −0.480777 | + | 0.248156i | ||||
\(208\) | 339570. | + | 588152.i | 0.0377346 | + | 0.0653582i | ||||
\(209\) | − | 6.53751e6i | − | 0.716100i | ||||||
\(210\) | −1.19611e6 | − | 5.13981e6i | −0.129156 | − | 0.554995i | ||||
\(211\) | −5.36127e6 | −0.570716 | −0.285358 | − | 0.958421i | \(-0.592113\pi\) | ||||
−0.285358 | + | 0.958421i | \(0.592113\pi\) | |||||||
\(212\) | −5.52858e6 | + | 3.19193e6i | −0.580238 | + | 0.335000i | ||||
\(213\) | 84795.8 | − | 3.59922e6i | 0.00877477 | − | 0.372451i | ||||
\(214\) | −8.05748e6 | + | 1.39560e7i | −0.822163 | + | 1.42403i | ||||
\(215\) | 3.37483e6 | − | 1.94846e6i | 0.339575 | − | 0.196054i | ||||
\(216\) | 652309. | − | 9.21556e6i | 0.0647280 | − | 0.914451i | ||||
\(217\) | 4.01433e6 | + | 1.55783e7i | 0.392856 | + | 1.52454i | ||||
\(218\) | − | 1.91702e7i | − | 1.85036i | ||||||
\(219\) | −7.28295e6 | + | 1.19550e7i | −0.693386 | + | 1.13820i | ||||
\(220\) | 5.09847e6 | − | 8.83081e6i | 0.478820 | − | 0.829340i | ||||
\(221\) | 923481. | + | 533172.i | 0.0855561 | + | 0.0493958i | ||||
\(222\) | 7.59514e6 | + | 4.62693e6i | 0.694188 | + | 0.422897i | ||||
\(223\) | −8.56544e6 | −0.772387 | −0.386194 | − | 0.922418i | \(-0.626210\pi\) | ||||
−0.386194 | + | 0.922418i | \(0.626210\pi\) | |||||||
\(224\) | −1.17500e7 | + | 3.02782e6i | −1.04542 | + | 0.269393i | ||||
\(225\) | −5.37659e6 | + | 8.37515e6i | −0.472019 | + | 0.735267i | ||||
\(226\) | 818340. | + | 1.41741e6i | 0.0708938 | + | 0.122792i | ||||
\(227\) | −1.35487e7 | − | 7.82235e6i | −1.15830 | − | 0.668744i | −0.207403 | − | 0.978256i | \(-0.566501\pi\) |
−0.950896 | + | 0.309512i | \(0.899834\pi\) | |||||||
\(228\) | 7.77694e6 | + | 183221.i | 0.656152 | + | 0.0154586i | ||||
\(229\) | −7.34810e6 | − | 1.27273e7i | −0.611883 | − | 1.05981i | −0.990923 | − | 0.134432i | \(-0.957079\pi\) |
0.379040 | − | 0.925380i | \(-0.376254\pi\) | |||||||
\(230\) | − | 3.75109e6i | − | 0.308300i | ||||||
\(231\) | 2.05869e7 | − | 4.79089e6i | 1.67015 | − | 0.388670i | ||||
\(232\) | −1.49945e7 | −1.20079 | ||||||||
\(233\) | −2.41055e6 | + | 1.39173e6i | −0.190567 | + | 0.110024i | −0.592248 | − | 0.805756i | \(-0.701759\pi\) |
0.401681 | + | 0.915780i | \(0.368426\pi\) | |||||||
\(234\) | 1.35704e7 | − | 7.00443e6i | 1.05912 | − | 0.546670i | ||||
\(235\) | 360984. | − | 625243.i | 0.0278154 | − | 0.0481776i | ||||
\(236\) | 5.76952e6 | − | 3.33103e6i | 0.438939 | − | 0.253421i | ||||
\(237\) | −1.91081e6 | − | 3.49736e6i | −0.143540 | − | 0.262721i | ||||
\(238\) | −2.05138e6 | + | 2.01237e6i | −0.152165 | + | 0.149272i | ||||
\(239\) | − | 1.08371e7i | − | 0.793816i | −0.917858 | − | 0.396908i | \(-0.870083\pi\) | ||
0.917858 | − | 0.396908i | \(-0.129917\pi\) | |||||||
\(240\) | −425965. | − | 259496.i | −0.0308135 | − | 0.0187714i | ||||
\(241\) | 1.09990e7 | − | 1.90508e7i | 0.785779 | − | 1.36101i | −0.142753 | − | 0.989758i | \(-0.545596\pi\) |
0.928533 | − | 0.371251i | \(-0.121071\pi\) | |||||||
\(242\) | 3.81935e7 | + | 2.20510e7i | 2.69490 | + | 1.55590i | ||||
\(243\) | 1.42495e7 | + | 1.68605e6i | 0.993072 | + | 0.117504i | ||||
\(244\) | 4.56148e7 | 3.14004 | ||||||||
\(245\) | 2.52543e6 | + | 4.57479e6i | 0.171727 | + | 0.311081i | ||||
\(246\) | −1.51039e7 | − | 2.76446e7i | −1.01457 | − | 1.85697i | ||||
\(247\) | 2.33858e6 | + | 4.05054e6i | 0.155189 | + | 0.268796i | ||||
\(248\) | −1.90648e7 | − | 1.10071e7i | −1.24991 | − | 0.721633i | ||||
\(249\) | −178856. | + | 7.59168e6i | −0.0115853 | + | 0.491745i | ||||
\(250\) | −8.34144e6 | − | 1.44478e7i | −0.533852 | − | 0.924659i | ||||
\(251\) | 1.63397e7i | 1.03329i | 0.856199 | + | 0.516646i | \(0.172820\pi\) | ||||
−0.856199 | + | 0.516646i | \(0.827180\pi\) | |||||||
\(252\) | 5.12221e6 | + | 2.46242e7i | 0.320078 | + | 1.53872i | ||||
\(253\) | 1.50246e7 | 0.927770 | ||||||||
\(254\) | −2.20549e7 | + | 1.27334e7i | −1.34587 | + | 0.777040i | ||||
\(255\) | −782942. | − | 18445.7i | −0.0472181 | − | 0.00111244i | ||||
\(256\) | 6.96339e6 | − | 1.20609e7i | 0.415050 | − | 0.718888i | ||||
\(257\) | −1.72309e7 | + | 9.94827e6i | −1.01510 | + | 0.586068i | −0.912681 | − | 0.408673i | \(-0.865992\pi\) |
−0.102419 | + | 0.994741i | \(0.532658\pi\) | |||||||
\(258\) | −2.66694e7 | + | 1.45711e7i | −1.55294 | + | 0.848463i | ||||
\(259\) | −8.48423e6 | − | 2.36085e6i | −0.488330 | − | 0.135884i | ||||
\(260\) | 7.29525e6i | 0.415069i | ||||||||
\(261\) | 1.09673e6 | − | 2.32628e7i | 0.0616848 | − | 1.30840i | ||||
\(262\) | −2.21213e7 | + | 3.83153e7i | −1.23001 | + | 2.13044i | ||||
\(263\) | −3.02923e7 | − | 1.74893e7i | −1.66519 | − | 0.961400i | −0.970174 | − | 0.242409i | \(-0.922062\pi\) |
−0.695020 | − | 0.718991i | \(-0.744604\pi\) | |||||||
\(264\) | −1.50482e7 | + | 2.47018e7i | −0.817849 | + | 1.34251i | ||||
\(265\) | 2.81896e6 | 0.151479 | ||||||||
\(266\) | −1.22055e7 | + | 3.14522e6i | −0.648503 | + | 0.167111i | ||||
\(267\) | −1.28580e7 | + | 7.02511e6i | −0.675525 | + | 0.369079i | ||||
\(268\) | −2.24831e6 | − | 3.89419e6i | −0.116803 | − | 0.202308i | ||||
\(269\) | 9.63851e6 | + | 5.56480e6i | 0.495169 | + | 0.285886i | 0.726716 | − | 0.686938i | \(-0.241046\pi\) |
−0.231547 | + | 0.972824i | \(0.574379\pi\) | |||||||
\(270\) | −6.27976e6 | + | 9.29303e6i | −0.319045 | + | 0.472135i | ||||
\(271\) | −1.17083e7 | − | 2.02794e7i | −0.588284 | − | 1.01894i | −0.994457 | − | 0.105142i | \(-0.966470\pi\) |
0.406173 | − | 0.913796i | \(-0.366863\pi\) | |||||||
\(272\) | 271609.i | 0.0134970i | ||||||||
\(273\) | −1.10416e7 | + | 1.03327e7i | −0.542678 | + | 0.507837i | ||||
\(274\) | 3.04489e7 | 1.48020 | ||||||||
\(275\) | 2.69847e7 | − | 1.55796e7i | 1.29754 | − | 0.749134i | ||||
\(276\) | −421080. | + | 1.78730e7i | −0.0200280 | + | 0.850102i | ||||
\(277\) | −1.91825e6 | + | 3.32251e6i | −0.0902540 | + | 0.156324i | −0.907618 | − | 0.419797i | \(-0.862101\pi\) |
0.817364 | + | 0.576122i | \(0.195435\pi\) | |||||||
\(278\) | 3.63663e7 | − | 2.09961e7i | 1.69264 | − | 0.977245i | ||||
\(279\) | 1.84710e7 | − | 2.87724e7i | 0.850508 | − | 1.32484i | ||||
\(280\) | −6.88907e6 | − | 1.91698e6i | −0.313824 | − | 0.0873258i | ||||
\(281\) | 2.63996e7i | 1.18981i | 0.803794 | + | 0.594907i | \(0.202811\pi\) | ||||
−0.803794 | + | 0.594907i | \(0.797189\pi\) | |||||||
\(282\) | −2.92923e6 | + | 4.80835e6i | −0.130619 | + | 0.214412i | ||||
\(283\) | 3.21025e6 | − | 5.56031e6i | 0.141638 | − | 0.245324i | −0.786476 | − | 0.617621i | \(-0.788097\pi\) |
0.928113 | + | 0.372297i | \(0.121430\pi\) | |||||||
\(284\) | −1.16154e7 | − | 6.70616e6i | −0.507083 | − | 0.292765i | ||||
\(285\) | −2.93358e6 | − | 1.78712e6i | −0.126725 | − | 0.0772005i | ||||
\(286\) | −4.78122e7 | −2.04381 | ||||||||
\(287\) | 2.18445e7 | + | 2.22679e7i | 0.924053 | + | 0.941964i | ||||
\(288\) | 2.17017e7 | + | 1.39318e7i | 0.908482 | + | 0.583218i | ||||
\(289\) | −1.18556e7 | − | 2.05344e7i | −0.491166 | − | 0.850724i | ||||
\(290\) | 1.57648e7 | + | 9.10182e6i | 0.646390 | + | 0.373194i | ||||
\(291\) | 2.41735e6 | + | 56951.6i | 0.0980981 | + | 0.00231114i | ||||
\(292\) | 2.60755e7 | + | 4.51641e7i | 1.04733 | + | 1.81403i | ||||
\(293\) | − | 3.45100e7i | − | 1.37196i | −0.727619 | − | 0.685982i | \(-0.759373\pi\) | ||
0.727619 | − | 0.685982i | \(-0.240627\pi\) | |||||||
\(294\) | −1.88490e7 | − | 3.61309e7i | −0.741732 | − | 1.42179i | ||||
\(295\) | −2.94181e6 | −0.114591 | ||||||||
\(296\) | 1.04366e7 | − | 6.02558e6i | 0.402425 | − | 0.232340i | ||||
\(297\) | −3.72222e7 | − | 2.51528e7i | −1.42080 | − | 0.960103i | ||||
\(298\) | 2.29552e7 | − | 3.97596e7i | 0.867426 | − | 1.50243i | ||||
\(299\) | −9.30899e6 | + | 5.37455e6i | −0.348248 | + | 0.201061i | ||||
\(300\) | 1.77771e7 | + | 3.25373e7i | 0.658410 | + | 1.20509i | ||||
\(301\) | 2.14824e7 | − | 2.10740e7i | 0.787742 | − | 0.772763i | ||||
\(302\) | 9.49790e6i | 0.344831i | ||||||||
\(303\) | 2.38747e7 | + | 1.45444e7i | 0.858243 | + | 0.522838i | ||||
\(304\) | −595662. | + | 1.03172e6i | −0.0212021 | + | 0.0367231i | ||||
\(305\) | −1.74438e7 | − | 1.00712e7i | −0.614812 | − | 0.354962i | ||||
\(306\) | 6.10075e6 | + | 287621.i | 0.212921 | + | 0.0100382i | ||||
\(307\) | 6.11502e6 | 0.211341 | 0.105670 | − | 0.994401i | \(-0.466301\pi\) | ||||
0.105670 | + | 0.994401i | \(0.466301\pi\) | |||||||
\(308\) | 2.11096e7 | − | 7.58620e7i | 0.722485 | − | 2.59640i | ||||
\(309\) | 5.91782e6 | + | 1.08314e7i | 0.200579 | + | 0.367120i | ||||
\(310\) | 1.33628e7 | + | 2.31451e7i | 0.448552 | + | 0.776915i | ||||
\(311\) | 2.75173e7 | + | 1.58871e7i | 0.914798 | + | 0.528159i | 0.881972 | − | 0.471302i | \(-0.156216\pi\) |
0.0328262 | + | 0.999461i | \(0.489549\pi\) | |||||||
\(312\) | 487396. | − | 2.06878e7i | 0.0160479 | − | 0.681164i | ||||
\(313\) | 1.03822e7 | + | 1.79825e7i | 0.338577 | + | 0.586432i | 0.984165 | − | 0.177253i | \(-0.0567212\pi\) |
−0.645588 | + | 0.763686i | \(0.723388\pi\) | |||||||
\(314\) | 4.78874e6i | 0.154679i | ||||||||
\(315\) | 3.47792e6 | − | 1.05476e7i | 0.111272 | − | 0.337461i | ||||
\(316\) | −1.48470e7 | −0.470518 | ||||||||
\(317\) | −9.73777e6 | + | 5.62211e6i | −0.305690 | + | 0.176490i | −0.644996 | − | 0.764186i | \(-0.723141\pi\) |
0.339306 | + | 0.940676i | \(0.389808\pi\) | |||||||
\(318\) | −2.19778e7 | − | 517786.i | −0.683444 | − | 0.0161016i | ||||
\(319\) | −3.64563e7 | + | 6.31441e7i | −1.12305 | + | 1.94518i | ||||
\(320\) | −1.64333e7 | + | 9.48779e6i | −0.501506 | + | 0.289544i | ||||
\(321\) | −2.97628e7 | + | 1.62612e7i | −0.899827 | + | 0.491628i | ||||
\(322\) | −7.22836e6 | − | 2.80509e7i | −0.216507 | − | 0.840192i | ||||
\(323\) | 1.87054e6i | 0.0555086i | ||||||||
\(324\) | 3.09647e7 | − | 4.35741e7i | 0.910399 | − | 1.28113i | ||||
\(325\) | −1.11462e7 | + | 1.93058e7i | −0.324696 | + | 0.562391i | ||||
\(326\) | −3.30293e7 | − | 1.90695e7i | −0.953338 | − | 0.550410i | ||||
\(327\) | 2.09900e7 | − | 3.44553e7i | 0.600301 | − | 0.985399i | ||||
\(328\) | −4.26863e7 | −1.20967 | ||||||||
\(329\) | 1.49461e6 | − | 5.37122e6i | 0.0419702 | − | 0.150829i | ||||
\(330\) | 3.08155e7 | − | 1.68363e7i | 0.857487 | − | 0.468496i | ||||
\(331\) | 1.21424e7 | + | 2.10313e7i | 0.334827 | + | 0.579938i | 0.983452 | − | 0.181171i | \(-0.0579887\pi\) |
−0.648624 | + | 0.761109i | \(0.724655\pi\) | |||||||
\(332\) | 2.44999e7 | + | 1.41450e7i | 0.669499 | + | 0.386535i | ||||
\(333\) | 8.58485e6 | + | 1.66323e7i | 0.232488 | + | 0.450422i | ||||
\(334\) | 1.13502e6 | + | 1.96592e6i | 0.0304625 | + | 0.0527626i | ||||
\(335\) | 1.98561e6i | 0.0528152i | ||||||||
\(336\) | −3.68544e6 | − | 1.11969e6i | −0.0971564 | − | 0.0295176i | ||||
\(337\) | 1.16537e7 | 0.304491 | 0.152246 | − | 0.988343i | \(-0.451350\pi\) | ||||
0.152246 | + | 0.988343i | \(0.451350\pi\) | |||||||
\(338\) | −2.40038e7 | + | 1.38586e7i | −0.621627 | + | 0.358896i | ||||
\(339\) | −81129.1 | + | 3.44358e6i | −0.00208246 | + | 0.0883916i | ||||
\(340\) | −1.45880e6 | + | 2.52671e6i | −0.0371158 | + | 0.0642864i | ||||
\(341\) | −9.27048e7 | + | 5.35232e7i | −2.33797 | + | 1.34983i | ||||
\(342\) | 2.25431e7 | + | 1.44720e7i | 0.563555 | + | 0.361785i | ||||
\(343\) | 2.77009e7 | + | 2.93440e7i | 0.686455 | + | 0.727172i | ||||
\(344\) | 4.11805e7i | 1.01162i | ||||||||
\(345\) | 4.10718e6 | − | 6.74197e6i | 0.100020 | − | 0.164184i | ||||
\(346\) | 5.47920e6 | − | 9.49026e6i | 0.132278 | − | 0.229113i | ||||
\(347\) | 2.46675e7 | + | 1.42418e7i | 0.590388 | + | 0.340860i | 0.765251 | − | 0.643732i | \(-0.222615\pi\) |
−0.174863 | + | 0.984593i | \(0.555948\pi\) | |||||||
\(348\) | −7.40937e7 | − | 4.51376e7i | −1.75810 | − | 1.07103i | ||||
\(349\) | −4.18490e7 | −0.984485 | −0.492243 | − | 0.870458i | \(-0.663823\pi\) | ||||
−0.492243 | + | 0.870458i | \(0.663823\pi\) | |||||||
\(350\) | −4.20696e7 | − | 4.28851e7i | −0.981216 | − | 1.00024i | ||||
\(351\) | 3.20599e7 | + | 2.26931e6i | 0.741380 | + | 0.0524774i | ||||
\(352\) | −4.03700e7 | − | 6.99229e7i | −0.925616 | − | 1.60321i | ||||
\(353\) | 4.00412e7 | + | 2.31178e7i | 0.910297 | + | 0.525560i | 0.880527 | − | 0.473997i | \(-0.157189\pi\) |
0.0297702 | + | 0.999557i | \(0.490522\pi\) | |||||||
\(354\) | 2.29356e7 | + | 540352.i | 0.517012 | + | 0.0121806i | ||||
\(355\) | 2.96128e6 | + | 5.12909e6i | 0.0661903 | + | 0.114645i | ||||
\(356\) | 5.45849e7i | 1.20983i | ||||||||
\(357\) | −5.89042e6 | + | 1.37079e6i | −0.129462 | + | 0.0301278i | ||||
\(358\) | −1.07130e7 | −0.233488 | ||||||||
\(359\) | 9.42345e6 | − | 5.44063e6i | 0.203670 | − | 0.117589i | −0.394696 | − | 0.918812i | \(-0.629150\pi\) |
0.598366 | + | 0.801223i | \(0.295817\pi\) | |||||||
\(360\) | 6.97077e6 | + | 1.35052e7i | 0.149408 | + | 0.289463i | ||||
\(361\) | 1.94207e7 | − | 3.36376e7i | 0.412803 | − | 0.714996i | ||||
\(362\) | 9.61611e6 | − | 5.55187e6i | 0.202709 | − | 0.117034i | ||||
\(363\) | 4.45022e7 | + | 8.14522e7i | 0.930382 | + | 1.70288i | ||||
\(364\) | 1.40580e7 | + | 5.45542e7i | 0.291486 | + | 1.13116i | ||||
\(365\) | − | 2.30287e7i | − | 0.473577i | ||||||
\(366\) | 1.34150e8 | + | 8.17234e7i | 2.73619 | + | 1.66688i | ||||
\(367\) | 2.55253e7 | − | 4.42111e7i | 0.516384 | − | 0.894403i | −0.483435 | − | 0.875380i | \(-0.660611\pi\) |
0.999819 | − | 0.0190228i | \(-0.00605551\pi\) | |||||||
\(368\) | −2.37110e6 | − | 1.36895e6i | −0.0475780 | − | 0.0274692i | ||||
\(369\) | 3.12216e6 | − | 6.62243e7i | 0.0621407 | − | 1.31807i | ||||
\(370\) | −1.46304e7 | −0.288835 | ||||||||
\(371\) | 2.10803e7 | − | 5.43214e6i | 0.412815 | − | 0.106377i | ||||
\(372\) | −6.10723e7 | − | 1.11781e8i | −1.18636 | − | 2.17139i | ||||
\(373\) | 2.55721e7 | + | 4.42922e7i | 0.492765 | + | 0.853494i | 0.999965 | − | 0.00833438i | \(-0.00265295\pi\) |
−0.507200 | + | 0.861828i | \(0.669320\pi\) | |||||||
\(374\) | −1.65598e7 | − | 9.56080e6i | −0.316548 | − | 0.182759i | ||||
\(375\) | 826959. | − | 3.51008e7i | 0.0156816 | − | 0.665616i | ||||
\(376\) | 3.81469e6 | + | 6.60724e6i | 0.0717622 | + | 0.124296i | ||||
\(377\) | − | 5.21642e7i | − | 0.973528i | ||||||
\(378\) | −2.90527e7 | + | 8.15949e7i | −0.537911 | + | 1.51073i | ||||
\(379\) | −9.30768e7 | −1.70972 | −0.854858 | − | 0.518862i | \(-0.826356\pi\) | ||||
−0.854858 | + | 0.518862i | \(0.826356\pi\) | |||||||
\(380\) | −1.10826e7 | + | 6.39854e6i | −0.201972 | + | 0.116608i | ||||
\(381\) | −5.35822e7 | − | 1.26237e6i | −0.968826 | − | 0.0228251i | ||||
\(382\) | 4.20365e7 | − | 7.28094e7i | 0.754114 | − | 1.30616i | ||||
\(383\) | 6.95337e7 | − | 4.01453e7i | 1.23765 | − | 0.714559i | 0.269039 | − | 0.963129i | \(-0.413294\pi\) |
0.968614 | + | 0.248570i | \(0.0799607\pi\) | |||||||
\(384\) | 7.62195e7 | − | 4.16432e7i | 1.34608 | − | 0.735445i | ||||
\(385\) | −2.48221e7 | + | 2.43501e7i | −0.434967 | + | 0.426697i | ||||
\(386\) | − | 1.54740e7i | − | 0.269054i | ||||||
\(387\) | −6.38883e7 | − | 3.01203e6i | −1.10227 | − | 0.0519668i | ||||
\(388\) | 4.50407e6 | − | 7.80128e6i | 0.0771099 | − | 0.133558i | ||||
\(389\) | −5.39859e6 | − | 3.11688e6i | −0.0917132 | − | 0.0529506i | 0.453442 | − | 0.891286i | \(-0.350196\pi\) |
−0.545155 | + | 0.838335i | \(0.683529\pi\) | |||||||
\(390\) | −1.30702e7 | + | 2.14548e7i | −0.220337 | + | 0.361685i | ||||
\(391\) | −4.29890e6 | −0.0719162 | ||||||||
\(392\) | −5.52108e7 | − | 1.06000e6i | −0.916571 | − | 0.0175973i | ||||
\(393\) | −8.17121e7 | + | 4.46441e7i | −1.34620 | + | 0.735507i | ||||
\(394\) | 1.45942e7 | + | 2.52780e7i | 0.238612 | + | 0.413289i | ||||
\(395\) | 5.67772e6 | + | 3.27803e6i | 0.0921261 | + | 0.0531890i | ||||
\(396\) | −1.48718e8 | + | 7.67617e7i | −2.39485 | + | 1.23612i | ||||
\(397\) | 3.87684e7 | + | 6.71488e7i | 0.619592 | + | 1.07317i | 0.989560 | + | 0.144121i | \(0.0460354\pi\) |
−0.369968 | + | 0.929045i | \(0.620631\pi\) | |||||||
\(398\) | − | 5.70312e6i | − | 0.0904613i | ||||||
\(399\) | −2.53812e7 | − | 7.71120e6i | −0.399571 | − | 0.121396i | ||||
\(400\) | −5.67812e6 | −0.0887207 | ||||||||
\(401\) | 4.39274e7 | − | 2.53615e7i | 0.681243 | − | 0.393316i | −0.119080 | − | 0.992885i | \(-0.537995\pi\) |
0.800323 | + | 0.599569i | \(0.204661\pi\) | |||||||
\(402\) | 364716. | − | 1.54806e7i | 0.00561405 | − | 0.238292i | ||||
\(403\) | 3.82923e7 | − | 6.63243e7i | 0.585055 | − | 1.01335i | ||||
\(404\) | 9.01949e7 | − | 5.20740e7i | 1.36785 | − | 0.789727i | ||||
\(405\) | −2.14621e7 | + | 9.82680e6i | −0.323077 | + | 0.147927i | ||||
\(406\) | 1.35429e8 | + | 3.76850e7i | 2.02365 | + | 0.563107i | ||||
\(407\) | − | 5.86002e7i | − | 0.869192i | ||||||
\(408\) | 4.30567e6 | − | 7.06778e6i | 0.0633957 | − | 0.104065i | ||||
\(409\) | 3.65408e7 | − | 6.32904e7i | 0.534082 | − | 0.925056i | −0.465126 | − | 0.885245i | \(-0.653991\pi\) |
0.999207 | − | 0.0398118i | \(-0.0126758\pi\) | |||||||
\(410\) | 4.48792e7 | + | 2.59110e7i | 0.651168 | + | 0.375952i | ||||
\(411\) | 5.47269e7 | + | 3.33394e7i | 0.788271 | + | 0.480212i | ||||
\(412\) | 4.59813e7 | 0.657490 | ||||||||
\(413\) | −2.19990e7 | + | 5.66888e6i | −0.312287 | + | 0.0804724i | ||||
\(414\) | −3.32597e7 | + | 5.18088e7i | −0.468724 | + | 0.730134i | ||||
\(415\) | −6.24611e6 | − | 1.08186e7i | −0.0873907 | − | 0.151365i | ||||
\(416\) | 5.00253e7 | + | 2.88821e7i | 0.694880 | + | 0.401189i | ||||
\(417\) | 8.83516e7 | + | 2.08152e6i | 1.21845 | + | 0.0287060i | ||||
\(418\) | −4.19353e7 | − | 7.26340e7i | −0.574183 | − | 0.994515i | ||||
\(419\) | 107271.i | 0.00145828i | 1.00000 | 0.000729142i | \(0.000232093\pi\) | |||||
−1.00000 | 0.000729142i | \(0.999768\pi\) | ||||||||
\(420\) | −2.82709e7 | − | 3.02105e7i | −0.381586 | − | 0.407765i | ||||
\(421\) | 1.00991e8 | 1.35343 | 0.676716 | − | 0.736244i | \(-0.263403\pi\) | ||||
0.676716 | + | 0.736244i | \(0.263403\pi\) | |||||||
\(422\) | −5.95656e7 | + | 3.43902e7i | −0.792607 | + | 0.457612i | ||||
\(423\) | −1.05296e7 | + | 5.43492e6i | −0.139121 | + | 0.0718079i | ||||
\(424\) | −1.48946e7 | + | 2.57983e7i | −0.195403 | + | 0.338449i | ||||
\(425\) | −7.72100e6 | + | 4.45772e6i | −0.100579 | + | 0.0580692i | ||||
\(426\) | −2.21453e7 | − | 4.05325e7i | −0.286452 | − | 0.524293i | ||||
\(427\) | −1.49853e8 | − | 4.16987e7i | −1.92478 | − | 0.535597i | ||||
\(428\) | 1.26349e8i | 1.61154i | ||||||||
\(429\) | −8.59346e7 | − | 5.23510e7i | −1.08842 | − | 0.663061i | ||||
\(430\) | 2.49970e7 | − | 4.32961e7i | 0.314400 | − | 0.544556i | ||||
\(431\) | −8.86295e7 | − | 5.11703e7i | −1.10700 | − | 0.639125i | −0.168947 | − | 0.985625i | \(-0.554037\pi\) |
−0.938050 | + | 0.346500i | \(0.887370\pi\) | |||||||
\(432\) | 3.58242e6 | + | 7.36097e6i | 0.0444350 | + | 0.0913027i | ||||
\(433\) | 5.17987e7 | 0.638050 | 0.319025 | − | 0.947746i | \(-0.396645\pi\) | ||||
0.319025 | + | 0.947746i | \(0.396645\pi\) | |||||||
\(434\) | 1.44528e8 | + | 1.47330e8i | 1.76801 | + | 1.80228i | ||||
\(435\) | 1.83688e7 | + | 3.36204e7i | 0.223158 | + | 0.408446i | ||||
\(436\) | −7.51516e7 | − | 1.30166e8i | −0.906732 | − | 1.57051i | ||||
\(437\) | −1.63295e7 | − | 9.42785e6i | −0.195672 | − | 0.112971i | ||||
\(438\) | −4.22991e6 | + | 1.79541e8i | −0.0503394 | + | 2.13669i | ||||
\(439\) | 5.26595e6 | + | 9.12089e6i | 0.0622419 | + | 0.107806i | 0.895467 | − | 0.445127i | \(-0.146842\pi\) |
−0.833225 | + | 0.552934i | \(0.813508\pi\) | |||||||
\(440\) | − | 4.75825e7i | − | 0.558584i | ||||||
\(441\) | 5.68273e6 | − | 8.55776e7i | 0.0662585 | − | 0.997802i | ||||
\(442\) | 1.36803e7 | 0.158426 | ||||||||
\(443\) | −8.18071e7 | + | 4.72313e7i | −0.940979 | + | 0.543274i | −0.890267 | − | 0.455439i | \(-0.849482\pi\) |
−0.0507116 | + | 0.998713i | \(0.516149\pi\) | |||||||
\(444\) | 6.97100e7 | + | 1.64234e6i | 0.796428 | + | 0.0187635i | ||||
\(445\) | 1.20517e7 | − | 2.08742e7i | 0.136763 | − | 0.236880i | ||||
\(446\) | −9.51650e7 | + | 5.49435e7i | −1.07269 | + | 0.619316i | ||||
\(447\) | 8.47922e7 | − | 4.63270e7i | 0.949365 | − | 0.518694i | ||||
\(448\) | −1.04606e8 | + | 1.02617e8i | −1.16339 | + | 1.14126i | ||||
\(449\) | − | 1.56966e8i | − | 1.73407i | −0.498245 | − | 0.867036i | \(-0.666022\pi\) | ||
0.498245 | − | 0.867036i | \(-0.333978\pi\) | |||||||
\(450\) | −6.01287e6 | + | 1.27539e8i | −0.0659848 | + | 1.39961i | ||||
\(451\) | −1.03783e8 | + | 1.79758e8i | −1.13135 | + | 1.95956i | ||||
\(452\) | 1.11131e7 | + | 6.41617e6i | 0.120343 | + | 0.0694801i | ||||
\(453\) | −1.03995e7 | + | 1.70709e7i | −0.111871 | + | 0.183638i | ||||
\(454\) | −2.00708e8 | −2.14485 | ||||||||
\(455\) | 6.66894e6 | − | 2.39663e7i | 0.0707983 | − | 0.254429i | ||||
\(456\) | 3.18555e7 | − | 1.74045e7i | 0.335961 | − | 0.183556i | ||||
\(457\) | 5.48042e7 | + | 9.49237e7i | 0.574203 | + | 0.994548i | 0.996128 | + | 0.0879177i | \(0.0280212\pi\) |
−0.421925 | + | 0.906631i | \(0.638645\pi\) | |||||||
\(458\) | −1.63280e8 | − | 9.42697e7i | −1.69956 | − | 0.981241i | ||||
\(459\) | 1.06502e7 | + | 7.19685e6i | 0.110133 | + | 0.0744225i | ||||
\(460\) | −1.47052e7 | − | 2.54701e7i | −0.151076 | − | 0.261672i | ||||
\(461\) | 1.59203e8i | 1.62498i | 0.582975 | + | 0.812490i | \(0.301889\pi\) | ||||
−0.582975 | + | 0.812490i | \(0.698111\pi\) | |||||||
\(462\) | 1.97996e8 | − | 1.85284e8i | 2.00785 | − | 1.87894i | ||||
\(463\) | 1.14258e8 | 1.15118 | 0.575591 | − | 0.817738i | \(-0.304772\pi\) | ||||
0.575591 | + | 0.817738i | \(0.304772\pi\) | |||||||
\(464\) | 1.15067e7 | − | 6.64339e6i | 0.115185 | − | 0.0665021i | ||||
\(465\) | −1.32477e6 | + | 5.62308e7i | −0.0131759 | + | 0.559262i | ||||
\(466\) | −1.78547e7 | + | 3.09252e7i | −0.176439 | + | 0.305601i | ||||
\(467\) | −1.52263e8 | + | 8.79092e7i | −1.49501 | + | 0.863145i | −0.999984 | − | 0.00573225i | \(-0.998175\pi\) |
−0.495028 | + | 0.868877i | \(0.664842\pi\) | |||||||
\(468\) | 6.46845e7 | − | 1.00760e8i | 0.631049 | − | 0.982989i | ||||
\(469\) | 3.82627e6 | + | 1.48485e7i | 0.0370900 | + | 0.143934i | ||||
\(470\) | − | 9.26222e6i | − | 0.0892117i | ||||||
\(471\) | −5.24333e6 | + | 8.60696e6i | −0.0501816 | + | 0.0823735i | ||||
\(472\) | 1.55438e7 | − | 2.69226e7i | 0.147819 | − | 0.256030i | ||||
\(473\) | 1.73417e8 | + | 1.00122e8i | 1.63874 | + | 0.946124i | ||||
\(474\) | −4.36638e7 | − | 2.65998e7i | −0.410002 | − | 0.249772i | ||||
\(475\) | −3.91046e7 | −0.364878 | ||||||||
\(476\) | −6.03999e6 | + | 2.17060e7i | −0.0560035 | + | 0.201261i | ||||
\(477\) | −3.89345e7 | − | 2.49948e7i | −0.358740 | − | 0.230300i | ||||
\(478\) | −6.95153e7 | − | 1.20404e8i | −0.636497 | − | 1.10245i | ||||
\(479\) | −8.54411e7 | − | 4.93295e7i | −0.777428 | − | 0.448848i | 0.0580898 | − | 0.998311i | \(-0.481499\pi\) |
−0.835518 | + | 0.549463i | \(0.814832\pi\) | |||||||
\(480\) | −4.24122e7 | − | 999212.i | −0.383502 | − | 0.00903512i | ||||
\(481\) | 2.09623e7 | + | 3.63078e7i | 0.188367 | + | 0.326261i | ||||
\(482\) | − | 2.82214e8i | − | 2.52021i | ||||||
\(483\) | 1.77219e7 | − | 5.83313e7i | 0.157279 | − | 0.517679i | ||||
\(484\) | 3.45781e8 | 3.04975 | ||||||||
\(485\) | −3.44486e6 | + | 1.98889e6i | −0.0301958 | + | 0.0174336i | ||||
\(486\) | 1.69132e8 | − | 7.26717e7i | 1.47339 | − | 0.633077i | ||||
\(487\) | 2.31500e7 | − | 4.00971e7i | 0.200431 | − | 0.347157i | −0.748236 | − | 0.663432i | \(-0.769099\pi\) |
0.948667 | + | 0.316276i | \(0.102432\pi\) | |||||||
\(488\) | 1.84337e8 | − | 1.06427e8i | 1.58618 | − | 0.915783i | ||||
\(489\) | −3.84850e7 | − | 7.04391e7i | −0.329128 | − | 0.602403i | ||||
\(490\) | 5.74037e7 | + | 3.46280e7i | 0.487923 | + | 0.294333i | ||||
\(491\) | 1.10518e8i | 0.933661i | 0.884347 | + | 0.466830i | \(0.154604\pi\) | ||||
−0.884347 | + | 0.466830i | \(0.845396\pi\) | |||||||
\(492\) | −2.10929e8 | − | 1.28497e8i | −1.77110 | − | 1.07894i | ||||
\(493\) | 1.04310e7 | − | 1.80671e7i | 0.0870536 | − | 0.150781i | ||||
\(494\) | 5.19649e7 | + | 3.00020e7i | 0.431052 | + | 0.248868i | ||||
\(495\) | 7.38204e7 | + | 3.48028e6i | 0.608640 | + | 0.0286945i | ||||
\(496\) | 1.95069e7 | 0.159862 | ||||||||
\(497\) | 3.20284e7 | + | 3.26492e7i | 0.260895 | + | 0.265952i | ||||
\(498\) | 4.67101e7 | + | 8.54934e7i | 0.378201 | + | 0.692221i | ||||
\(499\) | −5.24098e7 | − | 9.07764e7i | −0.421804 | − | 0.730586i | 0.574312 | − | 0.818636i | \(-0.305270\pi\) |
−0.996116 | + | 0.0880508i | \(0.971936\pi\) | |||||||
\(500\) | −1.13278e8 | − | 6.54008e7i | −0.906220 | − | 0.523206i | ||||
\(501\) | −112525. | + | 4.77618e6i | −0.000894817 | + | 0.0379811i | ||||
\(502\) | 1.04812e8 | + | 1.81540e8i | 0.828514 | + | 1.43503i | ||||
\(503\) | − | 5.65796e7i | − | 0.444586i | −0.974980 | − | 0.222293i | \(-0.928646\pi\) | ||
0.974980 | − | 0.222293i | \(-0.0713542\pi\) | |||||||
\(504\) | 7.81523e7 | + | 8.75597e7i | 0.610450 | + | 0.683931i | ||||
\(505\) | −4.59893e7 | −0.357094 | ||||||||
\(506\) | 1.66928e8 | − | 9.63759e7i | 1.28848 | − | 0.743904i | ||||
\(507\) | −5.83170e7 | − | 1.37392e6i | −0.447478 | − | 0.0105424i | ||||
\(508\) | −9.98359e7 | + | 1.72921e8i | −0.761545 | + | 1.31903i | ||||
\(509\) | 1.57230e8 | − | 9.07767e7i | 1.19229 | − | 0.688369i | 0.233464 | − | 0.972365i | \(-0.424994\pi\) |
0.958825 | + | 0.283997i | \(0.0916605\pi\) | |||||||
\(510\) | −8.81707e6 | + | 4.81729e6i | −0.0664682 | + | 0.0363155i | ||||
\(511\) | −4.43763e7 | − | 1.72210e8i | −0.332574 | − | 1.29061i | ||||
\(512\) | 2.72071e7i | 0.202709i | ||||||||
\(513\) | 2.46718e7 | + | 5.06942e7i | 0.182746 | + | 0.375497i | ||||
\(514\) | −1.27628e8 | + | 2.21057e8i | −0.939842 | + | 1.62785i | ||||
\(515\) | −1.75840e7 | − | 1.01521e7i | −0.128735 | − | 0.0743250i | ||||
\(516\) | −1.23965e8 | + | 2.03489e8i | −0.902296 | + | 1.48112i | ||||
\(517\) | 3.70987e7 | 0.268465 | ||||||||
\(518\) | −1.09407e8 | + | 2.81927e7i | −0.787144 | + | 0.202837i | ||||
\(519\) | 2.02391e7 | − | 1.10578e7i | 0.144774 | − | 0.0790985i | ||||
\(520\) | 1.70211e7 | + | 2.94814e7i | 0.121053 | + | 0.209671i | ||||
\(521\) | 6.25687e7 | + | 3.61241e7i | 0.442429 | + | 0.255437i | 0.704628 | − | 0.709577i | \(-0.251114\pi\) |
−0.262198 | + | 0.965014i | \(0.584447\pi\) | |||||||
\(522\) | −1.37036e8 | − | 2.65493e8i | −0.963433 | − | 1.86656i | ||||
\(523\) | −4.41162e7 | − | 7.64114e7i | −0.308385 | − | 0.534138i | 0.669625 | − | 0.742700i | \(-0.266455\pi\) |
−0.978009 | + | 0.208562i | \(0.933122\pi\) | |||||||
\(524\) | 3.46884e8i | 2.41096i | ||||||||
\(525\) | −2.86571e7 | − | 1.23142e8i | −0.198041 | − | 0.850999i | ||||
\(526\) | −4.48744e8 | −3.08348 | ||||||||
\(527\) | 2.65251e7 | − | 1.53143e7i | 0.181228 | − | 0.104632i | ||||
\(528\) | 603669. | − | 2.56231e7i | 0.00410107 | − | 0.174073i | ||||
\(529\) | −5.23508e7 | + | 9.06743e7i | −0.353636 | + | 0.612515i | ||||
\(530\) | 3.13196e7 | − | 1.80824e7i | 0.210372 | − | 0.121459i | ||||
\(531\) | 4.06313e7 | + | 2.60841e7i | 0.271380 | + | 0.174218i | ||||
\(532\) | −7.05462e7 | + | 6.92048e7i | −0.468531 | + | 0.459622i | ||||
\(533\) | − | 1.48501e8i | − | 0.980724i | ||||||
\(534\) | −9.77943e7 | + | 1.60530e8i | −0.642229 | + | 1.05422i | ||||
\(535\) | 2.78964e7 | − | 4.83179e7i | 0.182174 | − | 0.315535i | ||||
\(536\) | −1.81717e7 | − | 1.04914e7i | −0.118005 | − | 0.0681302i | ||||
\(537\) | −1.92549e7 | − | 1.17300e7i | −0.124342 | − | 0.0757489i | ||||
\(538\) | 1.42783e8 | 0.916916 | ||||||||
\(539\) | −1.38698e8 | + | 2.29924e8i | −0.885737 | + | 1.46831i | ||||
\(540\) | −6.20899e6 | + | 8.77183e7i | −0.0394312 | + | 0.557069i | ||||
\(541\) | −3.40703e7 | − | 5.90115e7i | −0.215171 | − | 0.372687i | 0.738154 | − | 0.674632i | \(-0.235698\pi\) |
−0.953326 | + | 0.301944i | \(0.902364\pi\) | |||||||
\(542\) | −2.60167e8 | − | 1.50208e8i | −1.63401 | − | 0.943396i | ||||
\(543\) | 2.33623e7 | + | 550404.i | 0.145920 | + | 0.00343781i | ||||
\(544\) | 1.15509e7 | + | 2.00067e7i | 0.0717493 | + | 0.124273i | ||||
\(545\) | 6.63704e7i | 0.410001i | ||||||||
\(546\) | −5.63960e7 | + | 1.85626e8i | −0.346474 | + | 1.14041i | ||||
\(547\) | −1.33802e8 | −0.817522 | −0.408761 | − | 0.912641i | \(-0.634039\pi\) | ||||
−0.408761 | + | 0.912641i | \(0.634039\pi\) | |||||||
\(548\) | 2.06750e8 | − | 1.19367e8i | 1.25633 | − | 0.725341i | ||||
\(549\) | 1.51630e8 | + | 2.93769e8i | 0.916366 | + | 1.77537i | ||||
\(550\) | 1.99873e8 | − | 3.46190e8i | 1.20134 | − | 2.08078i | ||||
\(551\) | 7.92453e7 | − | 4.57523e7i | 0.473717 | − | 0.273501i | ||||
\(552\) | 3.99992e7 | + | 7.32104e7i | 0.237812 | + | 0.435267i | ||||
\(553\) | 4.87751e7 | + | 1.35723e7i | 0.288418 | + | 0.0802562i | ||||
\(554\) | 4.92190e7i | 0.289470i | ||||||||
\(555\) | −2.62957e7 | − | 1.60192e7i | −0.153817 | − | 0.0937049i | ||||
\(556\) | 1.64619e8 | − | 2.85129e8i | 0.957758 | − | 1.65889i | ||||
\(557\) | 1.37756e8 | + | 7.95336e7i | 0.797161 | + | 0.460241i | 0.842477 | − | 0.538732i | \(-0.181096\pi\) |
−0.0453167 | + | 0.998973i | \(0.514430\pi\) | |||||||
\(558\) | 2.06569e7 | − | 4.38155e8i | 0.118895 | − | 2.52189i | ||||
\(559\) | −1.43262e8 | −0.820156 | ||||||||
\(560\) | 6.13595e6 | − | 1.58116e6i | 0.0349396 | − | 0.00900350i | ||||
\(561\) | −1.92951e7 | − | 3.53158e7i | −0.109284 | − | 0.200023i | ||||
\(562\) | 1.69342e8 | + | 2.93309e8i | 0.954017 | + | 1.65241i | ||||
\(563\) | 2.27943e8 | + | 1.31603e8i | 1.27732 | + | 0.737462i | 0.976355 | − | 0.216173i | \(-0.0693575\pi\) |
0.300966 | + | 0.953635i | \(0.402691\pi\) | |||||||
\(564\) | −1.03973e6 | + | 4.41322e7i | −0.00579542 | + | 0.245990i | ||||
\(565\) | −2.83323e6 | − | 4.90730e6i | −0.0157086 | − | 0.0272080i | ||||
\(566\) | − | 8.23693e7i | − | 0.454272i | ||||||
\(567\) | −1.41558e8 | + | 1.14843e8i | −0.776579 | + | 0.630020i | ||||
\(568\) | −6.25865e7 | −0.341535 | ||||||||
\(569\) | −9.09408e7 | + | 5.25047e7i | −0.493653 | + | 0.285011i | −0.726089 | − | 0.687601i | \(-0.758664\pi\) |
0.232436 | + | 0.972612i | \(0.425331\pi\) | |||||||
\(570\) | −4.40567e7 | − | 1.03795e6i | −0.237896 | − | 0.00560472i | ||||
\(571\) | 2.45002e7 | − | 4.24355e7i | 0.131601 | − | 0.227940i | −0.792693 | − | 0.609622i | \(-0.791321\pi\) |
0.924294 | + | 0.381681i | \(0.124655\pi\) | |||||||
\(572\) | −3.24647e8 | + | 1.87435e8i | −1.73470 | + | 1.00153i | ||||
\(573\) | 1.55275e8 | − | 8.48359e7i | 0.825349 | − | 0.450937i | ||||
\(574\) | 3.85539e8 | + | 1.07281e8i | 2.03860 | + | 0.567269i | ||||
\(575\) | − | 8.98706e7i | − | 0.472731i | ||||||
\(576\) | 3.11097e8 | + | 1.46667e7i | 1.62790 | + | 0.0767477i | ||||
\(577\) | 8.86675e7 | − | 1.53577e8i | 0.461570 | − | 0.799462i | −0.537470 | − | 0.843283i | \(-0.680620\pi\) |
0.999039 | + | 0.0438210i | \(0.0139531\pi\) | |||||||
\(578\) | −2.63439e8 | − | 1.52096e8i | −1.36426 | − | 0.787653i | ||||
\(579\) | 1.69429e7 | − | 2.78119e7i | 0.0872876 | − | 0.143283i | ||||
\(580\) | 1.42725e8 | 0.731504 | ||||||||
\(581\) | −6.75561e7 | − | 6.88656e7i | −0.344458 | − | 0.351135i | ||||
\(582\) | 2.72229e7 | − | 1.48735e7i | 0.138091 | − | 0.0754473i | ||||
\(583\) | 7.24269e7 | + | 1.25447e8i | 0.365506 | + | 0.633074i | ||||
\(584\) | 2.10751e8 | + | 1.21677e8i | 1.05811 | + | 0.610902i | ||||
\(585\) | −4.69830e7 | + | 2.42505e7i | −0.234678 | + | 0.121130i | ||||
\(586\) | −2.21367e8 | − | 3.83418e8i | −1.10007 | − | 1.90537i | ||||
\(587\) | 2.24276e8i | 1.10884i | 0.832238 | + | 0.554418i | \(0.187059\pi\) | ||||
−0.832238 | + | 0.554418i | \(0.812941\pi\) | |||||||
\(588\) | −2.69627e8 | − | 1.71438e8i | −1.32627 | − | 0.843285i | ||||
\(589\) | 1.34342e8 | 0.657456 | ||||||||
\(590\) | −3.26846e7 | + | 1.88704e7i | −0.159143 | + | 0.0918811i | ||||
\(591\) | −1.44685e6 | + | 6.14126e7i | −0.00700909 | + | 0.297506i | ||||
\(592\) | −5.33932e6 | + | 9.24798e6i | −0.0257348 | + | 0.0445740i | ||||
\(593\) | −1.86239e8 | + | 1.07525e8i | −0.893112 | + | 0.515638i | −0.874959 | − | 0.484197i | \(-0.839112\pi\) |
−0.0181527 | + | 0.999835i | \(0.505779\pi\) | |||||||
\(594\) | −5.74895e8 | − | 4.06930e7i | −2.74302 | − | 0.194160i | ||||
\(595\) | 7.10222e6 | − | 6.96717e6i | 0.0337166 | − | 0.0330754i | ||||
\(596\) | − | 3.59959e8i | − | 1.70026i | ||||||
\(597\) | 6.24451e6 | − | 1.02504e7i | 0.0293478 | − | 0.0481746i | ||||
\(598\) | −6.89507e7 | + | 1.19426e8i | −0.322430 | + | 0.558465i | ||||
\(599\) | −1.54055e8 | − | 8.89438e7i | −0.716796 | − | 0.413842i | 0.0967762 | − | 0.995306i | \(-0.469147\pi\) |
−0.813572 | + | 0.581464i | \(0.802480\pi\) | |||||||
\(600\) | 1.47755e8 | + | 9.00121e7i | 0.684053 | + | 0.416723i | ||||
\(601\) | −5.02762e7 | −0.231600 | −0.115800 | − | 0.993273i | \(-0.536943\pi\) | ||||
−0.115800 | + | 0.993273i | \(0.536943\pi\) | |||||||
\(602\) | 1.03497e8 | − | 3.71939e8i | 0.474394 | − | 1.70484i | ||||
\(603\) | 1.76057e7 | − | 2.74245e7i | 0.0802974 | − | 0.125080i | ||||
\(604\) | 3.72340e7 | + | 6.44912e7i | 0.168978 | + | 0.292678i | ||||
\(605\) | −1.32232e8 | − | 7.63443e7i | −0.597133 | − | 0.344755i | ||||
\(606\) | 3.58552e8 | + | 8.44732e6i | 1.61114 | + | 0.0379578i | ||||
\(607\) | 1.44612e8 | + | 2.50476e8i | 0.646605 | + | 1.11995i | 0.983928 | + | 0.178564i | \(0.0571452\pi\) |
−0.337323 | + | 0.941389i | \(0.609522\pi\) | |||||||
\(608\) | 1.01328e8i | 0.450836i | ||||||||
\(609\) | 2.02149e8 | + | 2.16018e8i | 0.894995 | + | 0.956398i | ||||
\(610\) | −2.58409e8 | −1.13846 | ||||||||
\(611\) | −2.29858e7 | + | 1.32709e7i | −0.100771 | + | 0.0581803i | ||||
\(612\) | 4.25519e7 | − | 2.19634e7i | 0.185637 | − | 0.0958177i | ||||
\(613\) | −2.09756e8 | + | 3.63308e8i | −0.910610 | + | 1.57722i | −0.0974066 | + | 0.995245i | \(0.531055\pi\) |
−0.813204 | + | 0.581979i | \(0.802279\pi\) | |||||||
\(614\) | 6.79400e7 | − | 3.92252e7i | 0.293508 | − | 0.169457i | ||||
\(615\) | 5.22922e7 | + | 9.57103e7i | 0.224808 | + | 0.411465i | ||||
\(616\) | −9.16915e7 | − | 3.55824e8i | −0.392272 | − | 1.52228i | ||||
\(617\) | − | 2.15704e8i | − | 0.918340i | −0.888348 | − | 0.459170i | \(-0.848147\pi\) | ||
0.888348 | − | 0.459170i | \(-0.151853\pi\) | |||||||
\(618\) | 1.35227e8 | + | 8.23800e7i | 0.572927 | + | 0.349025i | ||||
\(619\) | 1.82813e8 | − | 3.16642e8i | 0.770789 | − | 1.33505i | −0.166341 | − | 0.986068i | \(-0.553195\pi\) |
0.937131 | − | 0.348978i | \(-0.113471\pi\) | |||||||
\(620\) | 1.81468e8 | + | 1.04771e8i | 0.761422 | + | 0.439607i | ||||
\(621\) | −1.16506e8 | + | 5.67008e7i | −0.486489 | + | 0.236763i | ||||
\(622\) | 4.07636e8 | 1.69395 | ||||||||
\(623\) | 4.98987e7 | − | 1.79322e8i | 0.206360 | − | 0.741599i | ||||
\(624\) | 8.79182e6 | + | 1.60917e7i | 0.0361847 | + | 0.0662288i | ||||
\(625\) | −7.77781e7 | − | 1.34716e8i | −0.318579 | − | 0.551795i | ||||
\(626\) | 2.30700e8 | + | 1.33195e8i | 0.940426 | + | 0.542955i | ||||
\(627\) | 4.15741e6 | − | 1.76464e8i | 0.0168663 | − | 0.715901i | ||||
\(628\) | 1.87730e7 | + | 3.25157e7i | 0.0757974 | + | 0.131285i | ||||
\(629\) | 1.67670e7i | 0.0673755i | ||||||||
\(630\) | −2.90175e7 | − | 1.39497e8i | −0.116048 | − | 0.557883i | ||||
\(631\) | 7.53050e7 | 0.299734 | 0.149867 | − | 0.988706i | \(-0.452115\pi\) | ||||
0.149867 | + | 0.988706i | \(0.452115\pi\) | |||||||
\(632\) | −5.99991e7 | + | 3.46405e7i | −0.237681 | + | 0.137225i | ||||
\(633\) | −1.44714e8 | − | 3.40940e6i | −0.570558 | − | 0.0134421i | ||||
\(634\) | −7.21267e7 | + | 1.24927e8i | −0.283027 | + | 0.490217i | ||||
\(635\) | 7.63578e7 | − | 4.40852e7i | 0.298217 | − | 0.172176i | ||||
\(636\) | −1.51260e8 | + | 8.26423e7i | −0.587967 | + | 0.321241i | ||||
\(637\) | 3.68761e6 | − | 1.92072e8i | 0.0142668 | − | 0.743098i | ||||
\(638\) | 9.35404e8i | 3.60195i | ||||||||
\(639\) | 4.57770e6 | − | 9.70979e7i | 0.0175447 | − | 0.372141i | ||||
\(640\) | −7.14397e7 | + | 1.23737e8i | −0.272521 | + | 0.472020i | ||||
\(641\) | −2.73901e8 | − | 1.58137e8i | −1.03997 | − | 0.600424i | −0.120142 | − | 0.992757i | \(-0.538335\pi\) |
−0.919824 | + | 0.392332i | \(0.871668\pi\) | |||||||
\(642\) | −2.26367e8 | + | 3.71583e8i | −0.855475 | + | 1.40427i | ||||
\(643\) | −4.41742e8 | −1.66163 | −0.830817 | − | 0.556546i | \(-0.812126\pi\) | ||||
−0.830817 | + | 0.556546i | \(0.812126\pi\) | |||||||
\(644\) | −1.59047e8 | − | 1.62130e8i | −0.595480 | − | 0.607023i | ||||
\(645\) | 9.23341e7 | − | 5.04476e7i | 0.344099 | − | 0.188001i | ||||
\(646\) | 1.19987e7 | + | 2.07824e7i | 0.0445079 | + | 0.0770900i | ||||
\(647\) | 2.77420e8 | + | 1.60169e8i | 1.02429 | + | 0.591377i | 0.915345 | − | 0.402670i | \(-0.131918\pi\) |
0.108950 | + | 0.994047i | \(0.465251\pi\) | |||||||
\(648\) | 2.34679e7 | − | 2.48336e8i | 0.0862481 | − | 0.912673i | ||||
\(649\) | −7.55833e7 | − | 1.30914e8i | −0.276498 | − | 0.478909i | ||||
\(650\) | 2.85992e8i | 1.04139i | ||||||||
\(651\) | 9.84501e7 | + | 4.23049e8i | 0.356840 | + | 1.53337i | ||||
\(652\) | −2.99028e8 | −1.07887 | ||||||||
\(653\) | 6.03095e7 | − | 3.48197e7i | 0.216594 | − | 0.125050i | −0.387778 | − | 0.921753i | \(-0.626757\pi\) |
0.604372 | + | 0.796702i | \(0.293424\pi\) | |||||||
\(654\) | 1.21909e7 | − | 5.17451e8i | 0.0435816 | − | 1.84985i | ||||
\(655\) | 7.65878e7 | − | 1.32654e8i | 0.272544 | − | 0.472059i | ||||
\(656\) | 3.27571e7 | − | 1.89123e7i | 0.116036 | − | 0.0669937i | ||||
\(657\) | −2.04188e8 | + | 3.18064e8i | −0.720001 | + | 1.12155i | ||||
\(658\) | −1.78483e7 | − | 6.92634e7i | −0.0626498 | − | 0.243123i | ||||
\(659\) | 2.37471e8i | 0.829765i | 0.909875 | + | 0.414882i | \(0.136177\pi\) | ||||
−0.909875 | + | 0.414882i | \(0.863823\pi\) | |||||||
\(660\) | 1.43236e8 | − | 2.35124e8i | 0.498220 | − | 0.817832i | ||||
\(661\) | 3.62613e6 | − | 6.28064e6i | 0.0125556 | − | 0.0217470i | −0.859679 | − | 0.510834i | \(-0.829337\pi\) |
0.872235 | + | 0.489087i | \(0.162670\pi\) | |||||||
\(662\) | 2.69813e8 | + | 1.55776e8i | 0.930012 | + | 0.536943i | ||||
\(663\) | 2.45880e7 | + | 1.49789e7i | 0.0843690 | + | 0.0513972i | ||||
\(664\) | 1.32011e8 | 0.450927 | ||||||||
\(665\) | 4.22576e7 | − | 1.08893e7i | 0.143695 | − | 0.0370283i | ||||
\(666\) | 2.02070e8 | + | 1.29722e8i | 0.684035 | + | 0.439129i | ||||
\(667\) | 1.05148e8 | + | 1.82122e8i | 0.354344 | + | 0.613741i | ||||
\(668\) | 1.54137e7 | + | 8.89911e6i | 0.0517104 | + | 0.0298550i | ||||
\(669\) | −2.31203e8 | − | 5.44703e6i | −0.772173 | − | 0.0181920i | ||||
\(670\) | 1.27368e7 | + | 2.20608e7i | 0.0423482 | + | 0.0733493i | ||||
\(671\) | − | 1.03503e9i | − | 3.42598i | ||||||
\(672\) | −3.19086e8 | + | 7.42563e7i | −1.05148 | + | 0.244695i | ||||
\(673\) | 4.94626e8 | 1.62268 | 0.811338 | − | 0.584577i | \(-0.198740\pi\) | ||||
0.811338 | + | 0.584577i | \(0.198740\pi\) | |||||||
\(674\) | 1.29477e8 | − | 7.47535e7i | 0.422875 | − | 0.244147i | ||||
\(675\) | −1.50454e8 | + | 2.22647e8i | −0.489206 | + | 0.723946i | ||||
\(676\) | −1.08658e8 | + | 1.88201e8i | −0.351740 | + | 0.609231i | ||||
\(677\) | 3.10383e8 | − | 1.79200e8i | 1.00030 | − | 0.577526i | 0.0919660 | − | 0.995762i | \(-0.470685\pi\) |
0.908338 | + | 0.418236i | \(0.137352\pi\) | |||||||
\(678\) | 2.11877e7 | + | 3.87798e7i | 0.0679821 | + | 0.124427i | ||||
\(679\) | −2.19283e7 | + | 2.15113e7i | −0.0700479 | + | 0.0687159i | ||||
\(680\) | 1.36145e7i | 0.0432988i | ||||||||
\(681\) | −3.60739e8 | − | 2.19761e8i | −1.14223 | − | 0.695840i | ||||
\(682\) | −6.86655e8 | + | 1.18932e9i | −2.16464 | + | 3.74927i | ||||
\(683\) | −8.87610e7 | − | 5.12462e7i | −0.278586 | − | 0.160842i | 0.354197 | − | 0.935171i | \(-0.384754\pi\) |
−0.632783 | + | 0.774329i | \(0.718088\pi\) | |||||||
\(684\) | 2.09803e8 | + | 9.89120e6i | 0.655606 | + | 0.0309087i | ||||
\(685\) | −1.05419e8 | −0.327981 | ||||||||
\(686\) | 4.95996e8 | + | 1.48333e8i | 1.53641 | + | 0.459478i | ||||
\(687\) | −1.90250e8 | − | 3.48214e8i | −0.586752 | − | 1.07393i | ||||
\(688\) | −1.82452e7 | − | 3.16016e7i | −0.0560252 | − | 0.0970385i | ||||
\(689\) | −8.97492e7 | − | 5.18167e7i | −0.274393 | − | 0.158421i | ||||
\(690\) | 2.38543e6 | − | 1.01251e8i | 0.00726140 | − | 0.308215i | ||||
\(691\) | −1.77897e8 | − | 3.08126e8i | −0.539180 | − | 0.933887i | −0.998948 | − | 0.0458485i | \(-0.985401\pi\) |
0.459768 | − | 0.888039i | \(-0.347932\pi\) | |||||||
\(692\) | − | 8.59191e7i | − | 0.259281i | ||||||
\(693\) | 5.58739e8 | − | 1.16226e8i | 1.67884 | − | 0.349225i | ||||
\(694\) | 3.65420e8 | 1.09324 | ||||||||
\(695\) | −1.25906e8 | + | 7.26919e7i | −0.375053 | + | 0.216537i | ||||
\(696\) | −4.04739e8 | − | 9.53547e6i | −1.20046 | − | 0.0282823i | ||||
\(697\) | 2.96950e7 | − | 5.14332e7i | 0.0876971 | − | 0.151896i | ||||
\(698\) | −4.64957e8 | + | 2.68443e8i | −1.36725 | + | 0.789380i | ||||
\(699\) | −6.59518e7 | + | 3.60334e7i | −0.193106 | + | 0.105505i | ||||
\(700\) | −4.53775e8 | − | 1.26269e8i | −1.32296 | − | 0.368131i | ||||
\(701\) | 1.69075e8i | 0.490825i | 0.969419 | + | 0.245412i | \(0.0789233\pi\) | ||||
−0.969419 | + | 0.245412i | \(0.921077\pi\) | |||||||
\(702\) | 3.70753e8 | − | 1.80437e8i | 1.07170 | − | 0.521573i | ||||
\(703\) | −3.67714e7 | + | 6.36899e7i | −0.105839 | + | 0.183318i | ||||
\(704\) | −8.44436e8 | − | 4.87535e8i | −2.42018 | − | 1.39729i | ||||
\(705\) | 1.01415e7 | − | 1.66473e7i | 0.0289424 | − | 0.0475091i | ||||
\(706\) | 5.93162e8 | 1.68562 | ||||||||
\(707\) | −3.43911e8 | + | 8.86216e7i | −0.973167 | + | 0.250773i | ||||
\(708\) | 1.57852e8 | − | 8.62440e7i | 0.444786 | − | 0.243013i | ||||
\(709\) | 2.86163e7 | + | 4.95648e7i | 0.0802924 | + | 0.139070i | 0.903376 | − | 0.428850i | \(-0.141081\pi\) |
−0.823083 | + | 0.567921i | \(0.807748\pi\) | |||||||
\(710\) | 6.58017e7 | + | 3.79906e7i | 0.183849 | + | 0.106145i | ||||
\(711\) | −4.93535e7 | − | 9.56176e7i | −0.137312 | − | 0.266029i | ||||
\(712\) | 1.27356e8 | + | 2.20587e8i | 0.352841 | + | 0.611139i | ||||
\(713\) | 3.08746e8i | 0.851791i | ||||||||
\(714\) | −5.66516e7 | + | 5.30145e7i | −0.155639 | + | 0.145646i | ||||
\(715\) | 1.65534e8 | 0.452865 | ||||||||
\(716\) | −7.27420e7 | + | 4.19976e7i | −0.198174 | + | 0.114416i | ||||
\(717\) | 6.89165e6 | − | 2.92521e8i | 0.0186967 | − | 0.793596i | ||||
\(718\) | 6.97985e7 | − | 1.20895e8i | 0.188570 | − | 0.326613i | ||||
\(719\) | 2.03117e8 | − | 1.17269e8i | 0.546461 | − | 0.315499i | −0.201233 | − | 0.979543i | \(-0.564495\pi\) |
0.747693 | + | 0.664044i | \(0.231161\pi\) | |||||||
\(720\) | −1.13329e7 | − | 7.27534e6i | −0.0303628 | − | 0.0194920i | ||||
\(721\) | −1.51057e8 | − | 4.20337e7i | −0.403028 | − | 0.112148i | ||||
\(722\) | − | 4.98300e8i | − | 1.32397i | ||||||
\(723\) | 3.09004e8 | − | 5.07233e8i | 0.817617 | − | 1.34212i | ||||
\(724\) | 4.35292e7 | − | 7.53949e7i | 0.114701 | − | 0.198667i | ||||
\(725\) | 3.77701e8 | + | 2.18066e8i | 0.991139 | + | 0.572234i | ||||
\(726\) | 1.01691e9 | + | 6.19500e8i | 2.65751 | + | 1.61894i | ||||
\(727\) | 4.40253e8 | 1.14577 | 0.572887 | − | 0.819634i | \(-0.305823\pi\) | ||||
0.572887 | + | 0.819634i | \(0.305823\pi\) | |||||||
\(728\) | 1.84095e8 | + | 1.87664e8i | 0.477143 | + | 0.486391i | ||||
\(729\) | 3.83558e8 | + | 5.45724e7i | 0.990029 | + | 0.140861i | ||||
\(730\) | −1.47719e8 | − | 2.55857e8i | −0.379723 | − | 0.657700i | ||||
\(731\) | −4.96189e7 | − | 2.86475e7i | −0.127027 | − | 0.0733390i | ||||
\(732\) | 1.23126e9 | + | 2.90078e7i | 3.13917 | + | 0.0739574i | ||||
\(733\) | −2.27236e8 | − | 3.93584e8i | −0.576985 | − | 0.999367i | −0.995823 | − | 0.0913064i | \(-0.970896\pi\) |
0.418838 | − | 0.908061i | \(-0.362438\pi\) | |||||||
\(734\) | − | 6.54934e8i | − | 1.65619i | ||||||
\(735\) | 6.52585e7 | + | 1.25091e8i | 0.164352 | + | 0.315039i | ||||
\(736\) | −2.32873e8 | −0.584097 | ||||||||
\(737\) | −8.83618e7 | + | 5.10157e7i | −0.220730 | + | 0.127439i | ||||
\(738\) | −3.90112e8 | − | 7.55802e8i | −0.970554 | − | 1.88035i | ||||
\(739\) | −3.37304e8 | + | 5.84227e8i | −0.835772 | + | 1.44760i | 0.0576292 | + | 0.998338i | \(0.481646\pi\) |
−0.893401 | + | 0.449261i | \(0.851687\pi\) | |||||||
\(740\) | −9.93408e7 | + | 5.73544e7i | −0.245150 | + | 0.141538i | ||||
\(741\) | 6.05484e7 | + | 1.10822e8i | 0.148815 | + | 0.272376i | ||||
\(742\) | 1.99365e8 | − | 1.95574e8i | 0.488019 | − | 0.478740i | ||||
\(743\) | 6.64016e8i | 1.61887i | 0.587210 | + | 0.809435i | \(0.300226\pi\) | ||||
−0.587210 | + | 0.809435i | \(0.699774\pi\) | |||||||
\(744\) | −5.07607e8 | − | 3.09232e8i | −1.23256 | − | 0.750872i | ||||
\(745\) | −7.94748e7 | + | 1.37654e8i | −0.192203 | + | 0.332906i | ||||
\(746\) | 5.68229e8 | + | 3.28067e8i | 1.36870 | + | 0.790217i | ||||
\(747\) | −9.65556e6 | + | 2.04805e8i | −0.0231641 | + | 0.491335i | ||||
\(748\) | −1.49922e8 | −0.358229 | ||||||||
\(749\) | 1.15502e8 | − | 4.15080e8i | 0.274880 | − | 0.987840i | ||||
\(750\) | −2.15969e8 | − | 3.95287e8i | −0.511926 | − | 0.936976i | ||||
\(751\) | 3.82313e7 | + | 6.62185e7i | 0.0902607 | + | 0.156336i | 0.907621 | − | 0.419791i | \(-0.137897\pi\) |
−0.817360 | + | 0.576127i | \(0.804563\pi\) | |||||||
\(752\) | −5.85473e6 | − | 3.38023e6i | −0.0137675 | − | 0.00794864i | ||||
\(753\) | −1.03909e7 | + | 4.41050e8i | −0.0243371 | + | 1.03301i | ||||
\(754\) | −3.34610e8 | − | 5.79562e8i | −0.780594 | − | 1.35203i | ||||
\(755\) | − | 3.28833e7i | − | 0.0764073i | ||||||
\(756\) | 1.22602e8 | + | 6.67926e8i | 0.283748 | + | 1.54584i | ||||
\(757\) | −3.64982e8 | −0.841364 | −0.420682 | − | 0.907208i | \(-0.638209\pi\) | ||||
−0.420682 | + | 0.907208i | \(0.638209\pi\) | |||||||
\(758\) | −1.03412e9 | + | 5.97047e8i | −2.37444 | + | 1.37088i | ||||
\(759\) | 4.05551e8 | + | 9.55458e6i | 0.927512 | + | 0.0218517i | ||||
\(760\) | −2.98578e7 | + | 5.17152e7i | −0.0680169 | + | 0.117809i | ||||
\(761\) | −5.00056e8 | + | 2.88708e8i | −1.13466 | + | 0.655095i | −0.945102 | − | 0.326775i | \(-0.894038\pi\) |
−0.189556 | + | 0.981870i | \(0.560705\pi\) | |||||||
\(762\) | −6.03415e8 | + | 3.29681e8i | −1.36380 | + | 0.745125i | ||||
\(763\) | 1.27896e8 | + | 4.96321e8i | 0.287927 | + | 1.11735i | ||||
\(764\) | − | 6.59172e8i | − | 1.47815i | ||||||
\(765\) | −2.11218e7 | − | 995794.i | −0.0471788 | − | 0.00222426i | ||||
\(766\) | 5.15029e8 | − | 8.92056e8i | 1.14590 | − | 1.98475i | ||||
\(767\) | 9.36606e7 | + | 5.40750e7i | 0.207573 | + | 0.119842i | ||||
\(768\) | 1.95629e8 | − | 3.21127e8i | 0.431867 | − | 0.708913i | ||||
\(769\) | 1.99792e7 | 0.0439339 | 0.0219669 | − | 0.999759i | \(-0.493007\pi\) | ||||
0.0219669 | + | 0.999759i | \(0.493007\pi\) | |||||||
\(770\) | −1.19587e8 | + | 4.29761e8i | −0.261946 | + | 0.941359i | ||||
\(771\) | −4.71432e8 | + | 2.57571e8i | −1.02862 | + | 0.561997i | ||||
\(772\) | −6.06616e7 | − | 1.05069e8i | −0.131845 | − | 0.228362i | ||||
\(773\) | −3.66991e8 | − | 2.11882e8i | −0.794542 | − | 0.458729i | 0.0470173 | − | 0.998894i | \(-0.485028\pi\) |
−0.841559 | + | 0.540165i | \(0.818362\pi\) | |||||||
\(774\) | −7.29142e8 | + | 3.76351e8i | −1.57249 | + | 0.811652i | ||||
\(775\) | 3.20153e8 | + | 5.54521e8i | 0.687784 | + | 1.19128i | ||||
\(776\) | − | 4.20351e7i | − | 0.0899553i | ||||||
\(777\) | −2.27509e8 | − | 6.91207e7i | −0.484994 | − | 0.147348i | ||||
\(778\) | −7.99736e7 | −0.169827 | ||||||||
\(779\) | 2.25595e8 | − | 1.30247e8i | 0.477218 | − | 0.275522i | ||||
\(780\) | −4.63927e6 | + | 1.96917e8i | −0.00977611 | + | 0.414954i | ||||
\(781\) | −1.52167e8 | + | 2.63561e8i | −0.319424 | + | 0.553258i | ||||
\(782\) | −4.77622e7 | + | 2.75755e7i | −0.0998767 | + | 0.0576638i | ||||
\(783\) | 4.43970e7 | − | 6.27224e8i | 0.0924844 | − | 1.30658i | ||||
\(784\) | 4.28380e7 | − | 2.36480e7i | 0.0888958 | − | 0.0490733i | ||||
\(785\) | − | 1.65794e7i | − | 0.0342736i | ||||||
\(786\) | −6.21477e8 | + | 1.02016e9i | −1.27984 | + | 2.10087i | ||||
\(787\) | 9.59731e7 | − | 1.66230e8i | 0.196891 | − | 0.341025i | −0.750628 | − | 0.660725i | \(-0.770249\pi\) |
0.947519 | + | 0.319700i | \(0.103582\pi\) | |||||||
\(788\) | 1.98191e8 | + | 1.14426e8i | 0.405047 | + | 0.233854i | ||||
\(789\) | −8.06543e8 | − | 4.91343e8i | −1.64209 | − | 1.00035i | ||||
\(790\) | 8.41086e7 | 0.170592 | ||||||||
\(791\) | −3.06434e7 | − | 3.12374e7i | −0.0619167 | − | 0.0631169i | ||||
\(792\) | −4.21898e8 | + | 6.57193e8i | −0.849242 | + | 1.32287i | ||||
\(793\) | 3.70248e8 | + | 6.41288e8i | 0.742460 | + | 1.28598i | ||||
\(794\) | 8.61460e8 | + | 4.97364e8i | 1.72097 | + | 0.993603i | ||||
\(795\) | 7.60908e7 | + | 1.79266e6i | 0.151437 | + | 0.00356777i | ||||
\(796\) | −2.23576e7 | − | 3.87244e7i | −0.0443287 | − | 0.0767796i | ||||
\(797\) | 7.53378e8i | 1.48812i | 0.668113 | + | 0.744060i | \(0.267102\pi\) | ||||
−0.668113 | + | 0.744060i | \(0.732898\pi\) | |||||||
\(798\) | −3.31458e8 | + | 7.71355e7i | −0.652259 | + | 0.151791i | ||||
\(799\) | −1.06149e7 | −0.0208101 | ||||||||
\(800\) | −4.18249e8 | + | 2.41476e8i | −0.816893 | + | 0.471633i | ||||
\(801\) | −3.51538e8 | + | 1.81449e8i | −0.684030 | + | 0.353066i | ||||
\(802\) | 3.25365e8 | − | 5.63549e8i | 0.630737 | − | 1.09247i | ||||
\(803\) | 1.02480e9 | − | 5.91670e8i | 1.97922 | − | 1.14270i | ||||
\(804\) | −5.82112e7 | − | 1.06544e8i | −0.112005 | − | 0.205003i | ||||
\(805\) | 2.50258e7 | + | 9.71168e7i | 0.0479734 | + | 0.186169i | ||||
\(806\) | − | 9.82514e8i | − | 1.87644i | ||||||
\(807\) | 2.56629e8 | + | 1.56337e8i | 0.488298 | + | 0.297469i | ||||
\(808\) | 2.42995e8 | − | 4.20880e8i | 0.460643 | − | 0.797856i | ||||
\(809\) | 2.48907e8 | + | 1.43707e8i | 0.470102 | + | 0.271413i | 0.716282 | − | 0.697811i | \(-0.245842\pi\) |
−0.246181 | + | 0.969224i | \(0.579176\pi\) | |||||||
\(810\) | −1.75416e8 | + | 2.46849e8i | −0.330077 | + | 0.464490i | ||||
\(811\) | 4.40820e8 | 0.826417 | 0.413208 | − | 0.910636i | \(-0.364408\pi\) | ||||
0.413208 | + | 0.910636i | \(0.364408\pi\) | |||||||
\(812\) | 1.06731e9 | − | 2.75032e8i | 1.99352 | − | 0.513706i | ||||
\(813\) | −3.03141e8 | − | 5.54838e8i | −0.564122 | − | 1.03251i | ||||
\(814\) | −3.75894e8 | − | 6.51068e8i | −0.696936 | − | 1.20713i | ||||
\(815\) | 1.14353e8 | + | 6.60218e7i | 0.211240 | + | 0.121959i | ||||
\(816\) | −172725. | + | 7.33141e6i | −0.000317895 | + | 0.0134933i | ||||
\(817\) | −1.25653e8 | − | 2.17637e8i | −0.230413 | − | 0.399086i | ||||
\(818\) | − | 9.37572e8i | − | 1.71295i | ||||||
\(819\) | −3.04610e8 | + | 2.71883e8i | −0.554489 | + | 0.494914i | ||||
\(820\) | 4.06309e8 | 0.736910 | ||||||||
\(821\) | −7.72518e8 | + | 4.46013e8i | −1.39598 | + | 0.805969i | −0.993969 | − | 0.109666i | \(-0.965022\pi\) |
−0.402011 | + | 0.915635i | \(0.631689\pi\) | |||||||
\(822\) | 8.21893e8 | + | 1.93634e7i | 1.47979 | + | 0.0348631i | ||||
\(823\) | 2.88904e8 | − | 5.00396e8i | 0.518267 | − | 0.897665i | −0.481508 | − | 0.876442i | \(-0.659911\pi\) |
0.999775 | − | 0.0212232i | \(-0.00675606\pi\) | |||||||
\(824\) | 1.85818e8 | − | 1.07282e8i | 0.332129 | − | 0.191755i | ||||
\(825\) | 7.38293e8 | − | 4.03373e8i | 1.31482 | − | 0.718365i | ||||
\(826\) | −2.08053e8 | + | 2.04097e8i | −0.369177 | + | 0.362157i | ||||
\(827\) | 5.21430e8i | 0.921891i | 0.887428 | + | 0.460945i | \(0.152490\pi\) | ||||
−0.887428 | + | 0.460945i | \(0.847510\pi\) | |||||||
\(828\) | −2.27320e7 | + | 4.82170e8i | −0.0400449 | + | 0.849394i | ||||
\(829\) | 2.71636e8 | − | 4.70487e8i | 0.476786 | − | 0.825817i | −0.522861 | − | 0.852418i | \(-0.675135\pi\) |
0.999646 | + | 0.0266015i | \(0.00846850\pi\) | |||||||
\(830\) | −1.38793e8 | − | 8.01321e7i | −0.242735 | − | 0.140143i | ||||
\(831\) | −5.38913e7 | + | 8.84630e7i | −0.0939108 | + | 0.154155i | ||||
\(832\) | 6.97599e8 | 1.21126 | ||||||||
\(833\) | 3.96850e7 | − | 6.57869e7i | 0.0686580 | − | 0.113816i | ||||
\(834\) | 9.94969e8 | − | 5.43610e8i | 1.71519 | − | 0.937108i | ||||
\(835\) | −3.92964e6 | − | 6.80634e6i | −0.00674984 | − | 0.0116911i | ||||
\(836\) | −5.69485e8 | − | 3.28792e8i | −0.974683 | − | 0.562734i | ||||
\(837\) | 5.16877e8 | − | 7.64894e8i | 0.881476 | − | 1.30444i | ||||
\(838\) | 688099. | + | 1.19182e6i | 0.00116928 | + | 0.00202525i | ||||
\(839\) | 4.18527e8i | 0.708659i | 0.935121 | + | 0.354329i | \(0.115291\pi\) | ||||
−0.935121 | + | 0.354329i | \(0.884709\pi\) | |||||||
\(840\) | −1.84734e8 | − | 5.61250e7i | −0.311680 | − | 0.0946931i | ||||
\(841\) | −4.25723e8 | −0.715713 | ||||||||
\(842\) | 1.12204e9 | − | 6.47813e8i | 1.87964 | − | 1.08521i | ||||
\(843\) | −1.67883e7 | + | 7.12593e8i | −0.0280237 | + | 1.18948i | ||||
\(844\) | −2.69635e8 | + | 4.67022e8i | −0.448487 | + | 0.776802i | ||||
\(845\) | 8.31051e7 | − | 4.79808e7i | 0.137739 | − | 0.0795238i | ||||
\(846\) | −8.21250e7 | + | 1.27927e8i | −0.135633 | + | 0.211276i | ||||
\(847\) | −1.13595e9 | − | 3.16095e8i | −1.86944 | − | 0.520196i | ||||
\(848\) | − | 2.63965e7i | − | 0.0432872i | ||||||
\(849\) | 9.01886e7 | − | 1.48045e8i | 0.147377 | − | 0.241920i | ||||
\(850\) | −5.71886e7 | + | 9.90536e7i | −0.0931221 | + | 0.161292i | ||||
\(851\) | −1.46372e8 | − | 8.45082e7i | −0.237504 | − | 0.137123i | ||||
\(852\) | −3.09264e8 | − | 1.88403e8i | −0.500047 | − | 0.304627i | ||||
\(853\) | −6.76850e8 | −1.09055 | −0.545275 | − | 0.838257i | \(-0.683575\pi\) | ||||
−0.545275 | + | 0.838257i | \(0.683575\pi\) | |||||||
\(854\) | −1.93240e9 | + | 4.97955e8i | −3.10258 | + | 0.799497i | ||||
\(855\) | −7.80482e7 | − | 5.01045e7i | −0.124872 | − | 0.0801639i | ||||
\(856\) | 2.94794e8 | + | 5.10598e8i | 0.469999 | + | 0.814063i | ||||
\(857\) | −3.09105e8 | − | 1.78462e8i | −0.491092 | − | 0.283532i | 0.233935 | − | 0.972252i | \(-0.424840\pi\) |
−0.725028 | + | 0.688720i | \(0.758173\pi\) | |||||||
\(858\) | −1.29057e9 | − | 3.04053e7i | −2.04324 | − | 0.0481379i | ||||
\(859\) | 4.47574e8 | + | 7.75220e8i | 0.706131 | + | 1.22305i | 0.966282 | + | 0.257486i | \(0.0828942\pi\) |
−0.260151 | + | 0.965568i | \(0.583773\pi\) | |||||||
\(860\) | − | 3.91976e8i | − | 0.616261i | ||||||
\(861\) | 5.75478e8 | + | 6.14959e8i | 0.901610 | + | 0.963467i | ||||
\(862\) | −1.31294e9 | −2.04985 | ||||||||
\(863\) | 6.58480e8 | − | 3.80174e8i | 1.02450 | − | 0.591493i | 0.109093 | − | 0.994032i | \(-0.465205\pi\) |
0.915403 | + | 0.402539i | \(0.131872\pi\) | |||||||
\(864\) | 5.76924e8 | + | 3.89856e8i | 0.894494 | + | 0.604454i | ||||
\(865\) | −1.89699e7 | + | 3.28569e7i | −0.0293101 | + | 0.0507666i | ||||
\(866\) | 5.75501e8 | − | 3.32266e8i | 0.886120 | − | 0.511601i | ||||
\(867\) | −3.06953e8 | − | 5.61815e8i | −0.470993 | − | 0.862057i | ||||
\(868\) | 1.55892e9 | + | 4.33791e8i | 2.38377 | + | 0.663317i | ||||
\(869\) | 3.36887e8i | 0.513364i | ||||||||
\(870\) | 4.19744e8 | + | 2.55706e8i | 0.637421 | + | 0.388315i | ||||
\(871\) | 3.64984e7 | − | 6.32171e7i | 0.0552357 | − | 0.0956710i | ||||
\(872\) | −6.07402e8 | − | 3.50683e8i | −0.916065 | − | 0.528891i | ||||
\(873\) | 6.52141e7 | + | 3.07453e6i | 0.0980164 | + | 0.00462101i | ||||
\(874\) | −2.41902e8 | −0.362331 | ||||||||
\(875\) | 3.12352e8 | + | 3.18407e8i | 0.466252 | + | 0.475289i | ||||
\(876\) | 6.75122e8 | + | 1.23568e9i | 1.00432 | + | 1.83820i | ||||
\(877\) | 2.13971e8 | + | 3.70608e8i | 0.317216 | + | 0.549435i | 0.979906 | − | 0.199459i | \(-0.0639185\pi\) |
−0.662690 | + | 0.748894i | \(0.730585\pi\) | |||||||
\(878\) | 1.17013e8 | + | 6.75575e7i | 0.172882 | + | 0.0998136i | ||||
\(879\) | 2.19460e7 | − | 9.31512e8i | 0.0323138 | − | 1.37158i | ||||
\(880\) | 2.10816e7 | + | 3.65145e7i | 0.0309354 | + | 0.0535817i | ||||
\(881\) | − | 5.97818e7i | − | 0.0874261i | −0.999044 | − | 0.0437131i | \(-0.986081\pi\) | ||
0.999044 | − | 0.0437131i | \(-0.0139187\pi\) | |||||||
\(882\) | −4.85806e8 | − | 9.87249e8i | −0.708039 | − | 1.43887i | ||||
\(883\) | 3.12289e8 | 0.453601 | 0.226801 | − | 0.973941i | \(-0.427173\pi\) | ||||
0.226801 | + | 0.973941i | \(0.427173\pi\) | |||||||
\(884\) | 9.28896e7 | − | 5.36298e7i | 0.134465 | − | 0.0776336i | ||||
\(885\) | −7.94069e7 | − | 1.87079e6i | −0.114559 | − | 0.00269895i | ||||
\(886\) | −6.05937e8 | + | 1.04951e9i | −0.871216 | + | 1.50899i | ||||
\(887\) | −4.05964e8 | + | 2.34384e8i | −0.581724 | + | 0.335858i | −0.761818 | − | 0.647791i | \(-0.775693\pi\) |
0.180094 | + | 0.983649i | \(0.442360\pi\) | |||||||
\(888\) | 2.85542e8 | − | 1.56009e8i | 0.407785 | − | 0.222797i | ||||
\(889\) | 4.86055e8 | − | 4.76813e8i | 0.691800 | − | 0.678645i | ||||
\(890\) | − | 3.09226e8i | − | 0.438637i | ||||||
\(891\) | −9.88724e8 | − | 7.02609e8i | −1.39779 | − | 0.993301i | ||||
\(892\) | −4.30783e8 | + | 7.46138e8i | −0.606966 | + | 1.05130i | ||||
\(893\) | −4.03209e7 | − | 2.32793e7i | −0.0566208 | − | 0.0326900i | ||||
\(894\) | 6.44903e8 | − | 1.05861e9i | 0.902572 | − | 1.48158i | ||||
\(895\) | 3.70903e7 | 0.0517359 | ||||||||
\(896\) | −2.95788e8 | + | 1.06298e9i | −0.411203 | + | 1.47775i | ||||
\(897\) | −2.54691e8 | + | 1.39153e8i | −0.352887 | + | 0.192803i | ||||
\(898\) | −1.00687e9 | − | 1.74395e9i | −1.39041 | − | 2.40827i | ||||
\(899\) | −1.29758e9 | − | 7.49156e8i | −1.78589 | − | 1.03108i | ||||
\(900\) | 4.59156e8 | + | 8.89569e8i | 0.629844 | + | 1.22026i | ||||
\(901\) | −2.07231e7 | − | 3.58935e7i | −0.0283322 | − | 0.0490729i | ||||
\(902\) | 2.66290e9i | 3.62857i | ||||||||
\(903\) | 5.93267e8 | − | 5.55178e8i | 0.805725 | − | 0.753995i | ||||
\(904\) | 5.98801e7 | 0.0810546 | ||||||||
\(905\) | −3.32926e7 | + | 1.92215e7i | −0.0449161 | + | 0.0259323i | ||||
\(906\) | −6.04001e6 | + | 2.56372e8i | −0.00812181 | + | 0.344736i | ||||
\(907\) | 5.90300e8 | − | 1.02243e9i | 0.791136 | − | 1.37029i | −0.134129 | − | 0.990964i | \(-0.542823\pi\) |
0.925264 | − | 0.379323i | \(-0.123843\pi\) | |||||||
\(908\) | −1.36282e9 | + | 7.86822e8i | −1.82045 | + | 1.05104i | ||||
\(909\) | 6.35189e8 | + | 4.07772e8i | 0.845691 | + | 0.542908i | ||||
\(910\) | −7.96389e7 | − | 3.09052e8i | −0.105682 | − | 0.410117i | ||||
\(911\) | 4.17757e8i | 0.552546i | 0.961079 | + | 0.276273i | \(0.0890994\pi\) | ||||
−0.961079 | + | 0.276273i | \(0.910901\pi\) | |||||||
\(912\) | −1.67345e7 | + | 2.74698e7i | −0.0220612 | + | 0.0362136i | ||||
\(913\) | 3.20960e8 | − | 5.55918e8i | 0.421734 | − | 0.730464i | ||||
\(914\) | 1.21779e9 | + | 7.03090e8i | 1.59490 | + | 0.920815i | ||||
\(915\) | −4.64448e8 | − | 2.82940e8i | −0.606281 | − | 0.369344i | ||||
\(916\) | −1.47824e9 | −1.92335 | ||||||||
\(917\) | 3.17103e8 | − | 1.13958e9i | 0.411237 | − | 1.47787i | ||||
\(918\) | 1.64492e8 | + | 1.16433e7i | 0.212626 | + | 0.0150504i | ||||
\(919\) | 3.51440e8 | + | 6.08713e8i | 0.452799 | + | 0.784270i | 0.998559 | − | 0.0536712i | \(-0.0170923\pi\) |
−0.545760 | + | 0.837942i | \(0.683759\pi\) | |||||||
\(920\) | −1.18852e8 | − | 6.86194e7i | −0.152631 | − | 0.0881218i | ||||
\(921\) | 1.65060e8 | + | 3.88873e6i | 0.211282 | + | 0.00497770i | ||||
\(922\) | 1.02122e9 | + | 1.76880e9i | 1.30294 | + | 2.25676i | ||||
\(923\) | − | 2.17731e8i | − | 0.276895i | ||||||
\(924\) | 6.18045e8 | − | 2.03428e9i | 0.783437 | − | 2.57867i | ||||
\(925\) | −3.50522e8 | −0.442883 | ||||||||
\(926\) | 1.26945e9 | − | 7.32916e8i | 1.59875 | − | 0.923041i | ||||
\(927\) | 1.52849e8 | + | 2.96129e8i | 0.191877 | + | 0.371742i | ||||
\(928\) | 5.65053e8 | − | 9.78701e8i | 0.707042 | − | 1.22463i | ||||
\(929\) | −2.23231e8 | + | 1.28883e8i | −0.278425 | + | 0.160749i | −0.632710 | − | 0.774389i | \(-0.718058\pi\) |
0.354285 | + | 0.935137i | \(0.384724\pi\) | |||||||
\(930\) | 3.45977e8 | + | 6.33241e8i | 0.430129 | + | 0.787264i | ||||
\(931\) | 2.95021e8 | − | 1.62861e8i | 0.365598 | − | 0.201822i | ||||
\(932\) | 2.79978e8i | 0.345841i | ||||||||
\(933\) | 7.32659e8 | + | 4.46333e8i | 0.902104 | + | 0.549559i | ||||
\(934\) | −1.12780e9 | + | 1.95340e9i | −1.38417 | + | 2.39746i | ||||
\(935\) | 5.73328e7 | + | 3.31011e7i | 0.0701404 | + | 0.0404956i | ||||
\(936\) | 2.63121e7 | − | 5.58107e8i | 0.0320869 | − | 0.680597i | ||||
\(937\) | −1.53063e9 | −1.86060 | −0.930298 | − | 0.366806i | \(-0.880451\pi\) | ||||
−0.930298 | + | 0.366806i | \(0.880451\pi\) | |||||||
\(938\) | 1.37757e8 | + | 1.40428e8i | 0.166919 | + | 0.170155i | ||||
\(939\) | 2.68807e8 | + | 4.91996e8i | 0.324671 | + | 0.594244i | ||||
\(940\) | −3.63101e7 | − | 6.28909e7i | −0.0437163 | − | 0.0757189i | ||||
\(941\) | −7.87989e8 | − | 4.54946e8i | −0.945696 | − | 0.545998i | −0.0539544 | − | 0.998543i | \(-0.517183\pi\) |
−0.891741 | + | 0.452546i | \(0.850516\pi\) | |||||||
\(942\) | −3.04530e6 | + | 1.29260e8i | −0.00364316 | + | 0.154636i | ||||
\(943\) | 2.99335e8 | + | 5.18464e8i | 0.356963 | + | 0.618278i | ||||
\(944\) | 2.75469e7i | 0.0327459i | ||||||||
\(945\) | 1.00585e8 | − | 2.82495e8i | 0.119190 | − | 0.334746i | ||||
\(946\) | 2.56897e9 | 3.03449 | ||||||||
\(947\) | 9.07800e8 | − | 5.24119e8i | 1.06891 | − | 0.617134i | 0.141025 | − | 0.990006i | \(-0.454960\pi\) |
0.927883 | + | 0.372872i | \(0.121627\pi\) | |||||||
\(948\) | −4.00757e8 | − | 9.44164e6i | −0.470387 | − | 0.0110821i | ||||
\(949\) | −4.23302e8 | + | 7.33180e8i | −0.495281 | + | 0.857851i | ||||
\(950\) | −4.34466e8 | + | 2.50839e8i | −0.506740 | + | 0.292566i | ||||
\(951\) | −2.66422e8 | + | 1.45562e8i | −0.309762 | + | 0.169242i | ||||
\(952\) | 2.62352e7 | + | 1.01810e8i | 0.0304070 | + | 0.117999i | ||||
\(953\) | − | 8.79139e8i | − | 1.01573i | −0.861436 | − | 0.507866i | \(-0.830435\pi\) | ||
0.861436 | − | 0.507866i | \(-0.169565\pi\) | |||||||
\(954\) | −5.92906e8 | − | 2.79527e7i | −0.682875 | − | 0.0321943i | ||||
\(955\) | −1.45538e8 | + | 2.52078e8i | −0.167096 | + | 0.289418i | ||||
\(956\) | −9.44024e8 | − | 5.45033e8i | −1.08046 | − | 0.623805i | ||||
\(957\) | −1.02420e9 | + | 1.68123e9i | −1.16856 | + | 1.91819i | ||||
\(958\) | −1.26571e9 | −1.43958 | ||||||||
\(959\) | −7.88331e8 | + | 2.03143e8i | −0.893825 | + | 0.230328i | ||||
\(960\) | −4.49610e8 | + | 2.45649e8i | −0.508186 | + | 0.277652i | ||||
\(961\) | −6.56119e8 | − | 1.13643e9i | −0.739286 | − | 1.28048i | ||||
\(962\) | 4.65797e8 | + | 2.68928e8i | 0.523204 | + | 0.302072i | ||||
\(963\) | −8.13714e8 | + | 4.20003e8i | −0.911156 | + | 0.470298i | ||||
\(964\) | −1.10635e9 | − | 1.91625e9i | −1.23498 | − | 2.13905i | ||||
\(965\) | 5.35735e7i | 0.0596167i | ||||||||
\(966\) | −1.77273e8 | − | 7.61760e8i | −0.196658 | − | 0.845058i | ||||
\(967\) | 1.99399e8 | 0.220518 | 0.110259 | − | 0.993903i | \(-0.464832\pi\) | ||||
0.110259 | + | 0.993903i | \(0.464832\pi\) | |||||||
\(968\) | 1.39736e9 | − | 8.06766e8i | 1.54057 | − | 0.889450i | ||||
\(969\) | −1.18954e6 | + | 5.04907e7i | −0.00130739 | + | 0.0554932i | ||||
\(970\) | −2.55157e7 | + | 4.41946e7i | −0.0279572 | + | 0.0484232i | ||||
\(971\) | 9.80790e7 | − | 5.66259e7i | 0.107132 | − | 0.0618526i | −0.445477 | − | 0.895294i | \(-0.646966\pi\) |
0.552609 | + | 0.833441i | \(0.313632\pi\) | |||||||
\(972\) | 8.63525e8 | − | 1.15648e9i | 0.940321 | − | 1.25933i | ||||
\(973\) | −8.01455e8 | + | 7.86215e8i | −0.870042 | + | 0.853499i | ||||
\(974\) | − | 5.93990e8i | − | 0.642839i | ||||||
\(975\) | −3.13142e8 | + | 5.14024e8i | −0.337852 | + | 0.554587i | ||||
\(976\) | −9.43060e7 | + | 1.63343e8i | −0.101436 | + | 0.175691i | ||||
\(977\) | 8.45240e8 | + | 4.87999e8i | 0.906350 | + | 0.523282i | 0.879255 | − | 0.476351i | \(-0.158041\pi\) |
0.0270953 | + | 0.999633i | \(0.491374\pi\) | |||||||
\(978\) | −8.79418e8 | − | 5.35738e8i | −0.940110 | − | 0.572711i | ||||
\(979\) | 1.23857e9 | 1.31999 | ||||||||
\(980\) | 5.25524e8 | + | 1.00896e7i | 0.558360 | + | 0.0107200i | ||||
\(981\) | 5.88484e8 | − | 9.16686e8i | 0.623344 | − | 0.970987i | ||||
\(982\) | 7.08925e8 | + | 1.22789e9i | 0.748628 | + | 1.29666i | ||||
\(983\) | −2.18031e8 | − | 1.25880e8i | −0.229540 | − | 0.132525i | 0.380820 | − | 0.924649i | \(-0.375642\pi\) |
−0.610360 | + | 0.792124i | \(0.708975\pi\) | |||||||
\(984\) | −1.15221e9 | − | 2.71455e7i | −1.20933 | − | 0.0284913i | ||||
\(985\) | −5.05277e7 | − | 8.75166e7i | −0.0528714 | − | 0.0915760i | ||||
\(986\) | − | 2.67642e8i | − | 0.279205i | ||||||
\(987\) | 4.37591e7 | − | 1.44032e8i | 0.0455111 | − | 0.149799i | ||||
\(988\) | 4.70459e8 | 0.487810 | ||||||||
\(989\) | 5.00175e8 | − | 2.88776e8i | 0.517051 | − | 0.298519i | ||||
\(990\) | 8.42495e8 | − | 4.34858e8i | 0.868283 | − | 0.448169i | ||||
\(991\) | 2.12126e8 | − | 3.67413e8i | 0.217958 | − | 0.377515i | −0.736225 | − | 0.676736i | \(-0.763394\pi\) |
0.954184 | + | 0.299222i | \(0.0967270\pi\) | |||||||
\(992\) | 1.43688e9 | − | 8.29581e8i | 1.47192 | − | 0.849814i | ||||
\(993\) | 3.14380e8 | + | 5.75409e8i | 0.321075 | + | 0.587663i | ||||
\(994\) | 5.65277e8 | + | 1.57296e8i | 0.575575 | + | 0.160161i | ||||
\(995\) | 1.97451e7i | 0.0200443i | ||||||||
\(996\) | 6.52318e8 | + | 3.97390e8i | 0.660209 | + | 0.402197i | ||||
\(997\) | −9.76514e7 | + | 1.69137e8i | −0.0985356 | + | 0.170669i | −0.911079 | − | 0.412232i | \(-0.864749\pi\) |
0.812543 | + | 0.582901i | \(0.198082\pi\) | |||||||
\(998\) | −1.16458e9 | − | 6.72371e8i | −1.17160 | − | 0.676421i | ||||
\(999\) | 2.21150e8 | + | 4.54407e8i | 0.221815 | + | 0.455773i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 21.7.h.a.11.13 | yes | 28 | |
3.2 | odd | 2 | inner | 21.7.h.a.11.2 | yes | 28 | |
7.2 | even | 3 | inner | 21.7.h.a.2.2 | ✓ | 28 | |
7.3 | odd | 6 | 147.7.b.d.50.13 | 14 | |||
7.4 | even | 3 | 147.7.b.e.50.13 | 14 | |||
21.2 | odd | 6 | inner | 21.7.h.a.2.13 | yes | 28 | |
21.11 | odd | 6 | 147.7.b.e.50.2 | 14 | |||
21.17 | even | 6 | 147.7.b.d.50.2 | 14 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.7.h.a.2.2 | ✓ | 28 | 7.2 | even | 3 | inner | |
21.7.h.a.2.13 | yes | 28 | 21.2 | odd | 6 | inner | |
21.7.h.a.11.2 | yes | 28 | 3.2 | odd | 2 | inner | |
21.7.h.a.11.13 | yes | 28 | 1.1 | even | 1 | trivial | |
147.7.b.d.50.2 | 14 | 21.17 | even | 6 | |||
147.7.b.d.50.13 | 14 | 7.3 | odd | 6 | |||
147.7.b.e.50.2 | 14 | 21.11 | odd | 6 | |||
147.7.b.e.50.13 | 14 | 7.4 | even | 3 |