Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [96,3,Mod(19,96)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(96, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 7, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("96.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 96 = 2^{5} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 96.m (of order \(8\), degree \(4\), 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: | \(2.61581053786\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 19.6 | ||
Character | \(\chi\) | \(=\) | 96.19 |
Dual form | 96.3.m.a.91.6 |
$q$-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 \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(37\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{8}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.19507 | − | 1.60369i | −0.597534 | − | 0.801844i | ||||
\(3\) | 1.60021 | + | 0.662827i | 0.533402 | + | 0.220942i | ||||
\(4\) | −1.14363 | + | 3.83303i | −0.285907 | + | 0.958257i | ||||
\(5\) | 2.44597 | − | 1.01315i | 0.489194 | − | 0.202631i | −0.124431 | − | 0.992228i | \(-0.539711\pi\) |
0.613625 | + | 0.789597i | \(0.289711\pi\) | |||||||
\(6\) | −0.849386 | − | 3.35835i | −0.141564 | − | 0.559726i | ||||
\(7\) | 3.89082 | + | 3.89082i | 0.555832 | + | 0.555832i | 0.928118 | − | 0.372286i | \(-0.121426\pi\) |
−0.372286 | + | 0.928118i | \(0.621426\pi\) | |||||||
\(8\) | 7.51370 | − | 2.74670i | 0.939212 | − | 0.343338i | ||||
\(9\) | 2.12132 | + | 2.12132i | 0.235702 | + | 0.235702i | ||||
\(10\) | −4.54788 | − | 2.71179i | −0.454788 | − | 0.271179i | ||||
\(11\) | 10.8967 | − | 4.51357i | 0.990612 | − | 0.410325i | 0.172266 | − | 0.985051i | \(-0.444891\pi\) |
0.818346 | + | 0.574726i | \(0.194891\pi\) | |||||||
\(12\) | −4.37068 | + | 5.37561i | −0.364223 | + | 0.447967i | ||||
\(13\) | −1.49885 | − | 0.620845i | −0.115296 | − | 0.0477573i | 0.324290 | − | 0.945958i | \(-0.394875\pi\) |
−0.439586 | + | 0.898201i | \(0.644875\pi\) | |||||||
\(14\) | 1.58987 | − | 10.8895i | 0.113562 | − | 0.777819i | ||||
\(15\) | 4.58561 | 0.305707 | ||||||||
\(16\) | −13.3842 | − | 8.76713i | −0.836514 | − | 0.547946i | ||||
\(17\) | − | 10.5506i | − | 0.620625i | −0.950635 | − | 0.310313i | \(-0.899566\pi\) | ||
0.950635 | − | 0.310313i | \(-0.100434\pi\) | |||||||
\(18\) | 0.866816 | − | 5.93706i | 0.0481564 | − | 0.329836i | ||||
\(19\) | 0.916933 | − | 2.21367i | 0.0482596 | − | 0.116509i | −0.897911 | − | 0.440176i | \(-0.854916\pi\) |
0.946171 | + | 0.323667i | \(0.104916\pi\) | |||||||
\(20\) | 1.08617 | + | 10.5342i | 0.0543083 | + | 0.526708i | ||||
\(21\) | 3.64718 | + | 8.80506i | 0.173675 | + | 0.419289i | ||||
\(22\) | −20.2607 | − | 12.0809i | −0.920940 | − | 0.549133i | ||||
\(23\) | 8.67649 | − | 8.67649i | 0.377239 | − | 0.377239i | −0.492866 | − | 0.870105i | \(-0.664051\pi\) |
0.870105 | + | 0.492866i | \(0.164051\pi\) | |||||||
\(24\) | 13.8441 | + | 0.584991i | 0.576836 | + | 0.0243746i | ||||
\(25\) | −12.7214 | + | 12.7214i | −0.508855 | + | 0.508855i | ||||
\(26\) | 0.795588 | + | 3.14564i | 0.0305995 | + | 0.120986i | ||||
\(27\) | 1.98848 | + | 4.80062i | 0.0736475 | + | 0.177801i | ||||
\(28\) | −19.3633 | + | 10.4640i | −0.691546 | + | 0.373713i | ||||
\(29\) | −13.5168 | + | 32.6324i | −0.466097 | + | 1.12526i | 0.499756 | + | 0.866166i | \(0.333423\pi\) |
−0.965853 | + | 0.259091i | \(0.916577\pi\) | |||||||
\(30\) | −5.48011 | − | 7.35388i | −0.182670 | − | 0.245129i | ||||
\(31\) | 24.1021i | 0.777486i | 0.921346 | + | 0.388743i | \(0.127091\pi\) | ||||
−0.921346 | + | 0.388743i | \(0.872909\pi\) | |||||||
\(32\) | 1.93531 | + | 31.9414i | 0.0604783 | + | 0.998170i | ||||
\(33\) | 20.4287 | 0.619053 | ||||||||
\(34\) | −16.9199 | + | 12.6087i | −0.497645 | + | 0.370844i | ||||
\(35\) | 13.4588 | + | 5.57484i | 0.384538 | + | 0.159281i | ||||
\(36\) | −10.5571 | + | 5.70508i | −0.293252 | + | 0.158474i | ||||
\(37\) | −56.6116 | + | 23.4493i | −1.53004 | + | 0.633764i | −0.979573 | − | 0.201091i | \(-0.935551\pi\) |
−0.550470 | + | 0.834855i | \(0.685551\pi\) | |||||||
\(38\) | −4.64583 | + | 1.17501i | −0.122259 | + | 0.0309214i | ||||
\(39\) | −1.98696 | − | 1.98696i | −0.0509477 | − | 0.0509477i | ||||
\(40\) | 15.5955 | − | 14.3309i | 0.389886 | − | 0.358272i | ||||
\(41\) | −52.9112 | − | 52.9112i | −1.29052 | − | 1.29052i | −0.934466 | − | 0.356052i | \(-0.884123\pi\) |
−0.356052 | − | 0.934466i | \(-0.615877\pi\) | |||||||
\(42\) | 9.76195 | − | 16.3716i | 0.232427 | − | 0.389799i | ||||
\(43\) | 65.1237 | − | 26.9751i | 1.51451 | − | 0.627329i | 0.538024 | − | 0.842930i | \(-0.319171\pi\) |
0.976482 | + | 0.215601i | \(0.0691710\pi\) | |||||||
\(44\) | 4.83884 | + | 46.9293i | 0.109974 | + | 1.06658i | ||||
\(45\) | 7.33791 | + | 3.03946i | 0.163065 | + | 0.0675436i | ||||
\(46\) | −24.2834 | − | 3.54539i | −0.527899 | − | 0.0770738i | ||||
\(47\) | −45.0745 | −0.959033 | −0.479516 | − | 0.877533i | \(-0.659188\pi\) | ||||
−0.479516 | + | 0.877533i | \(0.659188\pi\) | |||||||
\(48\) | −15.6064 | − | 22.9006i | −0.325134 | − | 0.477097i | ||||
\(49\) | − | 18.7230i | − | 0.382102i | ||||||
\(50\) | 35.6040 | + | 5.19822i | 0.712080 | + | 0.103964i | ||||
\(51\) | 6.99325 | − | 16.8832i | 0.137122 | − | 0.331043i | ||||
\(52\) | 4.09385 | − | 5.03513i | 0.0787279 | − | 0.0968294i | ||||
\(53\) | −0.762732 | − | 1.84140i | −0.0143912 | − | 0.0347434i | 0.916521 | − | 0.399987i | \(-0.130986\pi\) |
−0.930912 | + | 0.365244i | \(0.880986\pi\) | |||||||
\(54\) | 5.32233 | − | 8.92597i | 0.0985616 | − | 0.165296i | ||||
\(55\) | 22.0801 | − | 22.0801i | 0.401457 | − | 0.401457i | ||||
\(56\) | 39.9214 | + | 18.5475i | 0.712882 | + | 0.331206i | ||||
\(57\) | 2.93456 | − | 2.93456i | 0.0514836 | − | 0.0514836i | ||||
\(58\) | 68.4857 | − | 17.3212i | 1.18079 | − | 0.298642i | ||||
\(59\) | −19.2287 | − | 46.4222i | −0.325910 | − | 0.786817i | −0.998888 | − | 0.0471538i | \(-0.984985\pi\) |
0.672977 | − | 0.739663i | \(-0.265015\pi\) | |||||||
\(60\) | −5.24423 | + | 17.5768i | −0.0874039 | + | 0.292946i | ||||
\(61\) | −12.5097 | + | 30.2011i | −0.205077 | + | 0.495100i | −0.992635 | − | 0.121140i | \(-0.961345\pi\) |
0.787558 | + | 0.616240i | \(0.211345\pi\) | |||||||
\(62\) | 38.6522 | − | 28.8036i | 0.623422 | − | 0.464574i | ||||
\(63\) | 16.5074i | 0.262022i | ||||||||
\(64\) | 48.9113 | − | 41.2758i | 0.764238 | − | 0.644934i | ||||
\(65\) | −4.29516 | −0.0660795 | ||||||||
\(66\) | −24.4137 | − | 32.7613i | −0.369905 | − | 0.496384i | ||||
\(67\) | 105.419 | + | 43.6660i | 1.57342 | + | 0.651731i | 0.987353 | − | 0.158534i | \(-0.0506768\pi\) |
0.586064 | + | 0.810265i | \(0.300677\pi\) | |||||||
\(68\) | 40.4409 | + | 12.0660i | 0.594719 | + | 0.177441i | ||||
\(69\) | 19.6352 | − | 8.13316i | 0.284568 | − | 0.117872i | ||||
\(70\) | −7.14393 | − | 28.2461i | −0.102056 | − | 0.403516i | ||||
\(71\) | −91.7160 | − | 91.7160i | −1.29178 | − | 1.29178i | −0.933688 | − | 0.358087i | \(-0.883429\pi\) |
−0.358087 | − | 0.933688i | \(-0.616571\pi\) | |||||||
\(72\) | 21.7656 | + | 10.1123i | 0.302300 | + | 0.140449i | ||||
\(73\) | −67.6747 | − | 67.6747i | −0.927050 | − | 0.927050i | 0.0704643 | − | 0.997514i | \(-0.477552\pi\) |
−0.997514 | + | 0.0704643i | \(0.977552\pi\) | |||||||
\(74\) | 105.260 | + | 62.7638i | 1.42243 | + | 0.848160i | ||||
\(75\) | −28.7889 | + | 11.9248i | −0.383852 | + | 0.158997i | ||||
\(76\) | 7.43644 | + | 6.04625i | 0.0978479 | + | 0.0795559i | ||||
\(77\) | 59.9588 | + | 24.8357i | 0.778685 | + | 0.322542i | ||||
\(78\) | −0.811914 | + | 5.56102i | −0.0104091 | + | 0.0712951i | ||||
\(79\) | −74.7323 | −0.945978 | −0.472989 | − | 0.881068i | \(-0.656825\pi\) | ||||
−0.472989 | + | 0.881068i | \(0.656825\pi\) | |||||||
\(80\) | −41.6199 | − | 7.88386i | −0.520249 | − | 0.0985483i | ||||
\(81\) | 9.00000i | 0.111111i | ||||||||
\(82\) | −21.6206 | + | 148.086i | −0.263666 | + | 1.80592i | ||||
\(83\) | −33.8502 | + | 81.7215i | −0.407833 | + | 0.984597i | 0.577873 | + | 0.816126i | \(0.303883\pi\) |
−0.985707 | + | 0.168470i | \(0.946117\pi\) | |||||||
\(84\) | −37.9211 | + | 3.91000i | −0.451441 | + | 0.0465477i | ||||
\(85\) | −10.6894 | − | 25.8065i | −0.125758 | − | 0.303606i | ||||
\(86\) | −121.087 | − | 72.2011i | −1.40799 | − | 0.839547i | ||||
\(87\) | −43.2593 | + | 43.2593i | −0.497234 | + | 0.497234i | ||||
\(88\) | 69.4773 | − | 63.8437i | 0.789515 | − | 0.725497i | ||||
\(89\) | −9.53321 | + | 9.53321i | −0.107115 | + | 0.107115i | −0.758633 | − | 0.651518i | \(-0.774132\pi\) |
0.651518 | + | 0.758633i | \(0.274132\pi\) | |||||||
\(90\) | −3.89495 | − | 15.4001i | −0.0432772 | − | 0.171112i | ||||
\(91\) | −3.41617 | − | 8.24737i | −0.0375404 | − | 0.0906305i | ||||
\(92\) | 23.3346 | + | 43.1799i | 0.253636 | + | 0.469347i | ||||
\(93\) | −15.9755 | + | 38.5683i | −0.171780 | + | 0.414713i | ||||
\(94\) | 53.8671 | + | 72.2855i | 0.573054 | + | 0.768994i | ||||
\(95\) | − | 6.34357i | − | 0.0667745i | ||||||
\(96\) | −18.0748 | + | 52.3956i | −0.188279 | + | 0.545788i | ||||
\(97\) | 92.4092 | 0.952672 | 0.476336 | − | 0.879263i | \(-0.341965\pi\) | ||||
0.476336 | + | 0.879263i | \(0.341965\pi\) | |||||||
\(98\) | −30.0258 | + | 22.3752i | −0.306386 | + | 0.228319i | ||||
\(99\) | 32.6902 | + | 13.5407i | 0.330204 | + | 0.136775i | ||||
\(100\) | −34.2129 | − | 63.3099i | −0.342129 | − | 0.633099i | ||||
\(101\) | 151.118 | − | 62.5953i | 1.49622 | − | 0.619756i | 0.523562 | − | 0.851988i | \(-0.324603\pi\) |
0.972660 | + | 0.232232i | \(0.0746029\pi\) | |||||||
\(102\) | −35.4328 | + | 8.96156i | −0.347380 | + | 0.0878584i | ||||
\(103\) | 48.5304 | + | 48.5304i | 0.471169 | + | 0.471169i | 0.902293 | − | 0.431124i | \(-0.141883\pi\) |
−0.431124 | + | 0.902293i | \(0.641883\pi\) | |||||||
\(104\) | −12.9672 | − | 0.547939i | −0.124685 | − | 0.00526865i | ||||
\(105\) | 17.8418 | + | 17.8418i | 0.169922 | + | 0.169922i | ||||
\(106\) | −2.04151 | + | 3.42378i | −0.0192595 | + | 0.0322998i | ||||
\(107\) | −114.656 | + | 47.4923i | −1.07156 | + | 0.443853i | −0.847539 | − | 0.530732i | \(-0.821917\pi\) |
−0.224016 | + | 0.974585i | \(0.571917\pi\) | |||||||
\(108\) | −20.6750 | + | 2.13178i | −0.191435 | + | 0.0197387i | ||||
\(109\) | 39.5308 | + | 16.3742i | 0.362668 | + | 0.150222i | 0.556574 | − | 0.830798i | \(-0.312116\pi\) |
−0.193906 | + | 0.981020i | \(0.562116\pi\) | |||||||
\(110\) | −61.7969 | − | 9.02241i | −0.561790 | − | 0.0820219i | ||||
\(111\) | −106.133 | −0.956153 | ||||||||
\(112\) | −17.9643 | − | 86.1870i | −0.160396 | − | 0.769527i | ||||
\(113\) | − | 77.7410i | − | 0.687974i | −0.938974 | − | 0.343987i | \(-0.888222\pi\) | ||
0.938974 | − | 0.343987i | \(-0.111778\pi\) | |||||||
\(114\) | −8.21312 | − | 1.19912i | −0.0720449 | − | 0.0105186i | ||||
\(115\) | 12.4318 | − | 30.0131i | 0.108103 | − | 0.260983i | ||||
\(116\) | −109.623 | − | 89.1297i | −0.945025 | − | 0.768360i | ||||
\(117\) | −1.86254 | − | 4.49656i | −0.0159191 | − | 0.0384321i | ||||
\(118\) | −51.4671 | + | 86.3145i | −0.436162 | + | 0.731478i | ||||
\(119\) | 41.0506 | − | 41.0506i | 0.344963 | − | 0.344963i | ||||
\(120\) | 34.4548 | − | 12.5953i | 0.287124 | − | 0.104961i | ||||
\(121\) | 12.8065 | − | 12.8065i | 0.105839 | − | 0.105839i | ||||
\(122\) | 63.3831 | − | 16.0307i | 0.519534 | − | 0.131399i | ||||
\(123\) | −49.5979 | − | 119.740i | −0.403235 | − | 0.973495i | ||||
\(124\) | −92.3839 | − | 27.5638i | −0.745031 | − | 0.222289i | ||||
\(125\) | −43.5563 | + | 105.154i | −0.348450 | + | 0.841233i | ||||
\(126\) | 26.4727 | − | 19.7274i | 0.210100 | − | 0.156567i | ||||
\(127\) | 191.794i | 1.51019i | 0.655617 | + | 0.755094i | \(0.272409\pi\) | ||||
−0.655617 | + | 0.755094i | \(0.727591\pi\) | |||||||
\(128\) | −124.646 | − | 29.1111i | −0.973794 | − | 0.227430i | ||||
\(129\) | 122.091 | 0.946444 | ||||||||
\(130\) | 5.13301 | + | 6.88810i | 0.0394847 | + | 0.0529854i | ||||
\(131\) | 95.7902 | + | 39.6776i | 0.731223 | + | 0.302883i | 0.717055 | − | 0.697017i | \(-0.245490\pi\) |
0.0141686 | + | 0.999900i | \(0.495490\pi\) | |||||||
\(132\) | −23.3629 | + | 78.3039i | −0.176992 | + | 0.593212i | ||||
\(133\) | 12.1806 | − | 5.04538i | 0.0915837 | − | 0.0379352i | ||||
\(134\) | −55.9562 | − | 221.243i | −0.417583 | − | 1.65107i | ||||
\(135\) | 9.72754 | + | 9.72754i | 0.0720558 | + | 0.0720558i | ||||
\(136\) | −28.9794 | − | 79.2742i | −0.213084 | − | 0.582899i | ||||
\(137\) | 55.9867 | + | 55.9867i | 0.408662 | + | 0.408662i | 0.881272 | − | 0.472610i | \(-0.156688\pi\) |
−0.472610 | + | 0.881272i | \(0.656688\pi\) | |||||||
\(138\) | −36.5084 | − | 21.7690i | −0.264554 | − | 0.157747i | ||||
\(139\) | 16.0665 | − | 6.65497i | 0.115587 | − | 0.0478775i | −0.324141 | − | 0.946009i | \(-0.605075\pi\) |
0.439727 | + | 0.898131i | \(0.355075\pi\) | |||||||
\(140\) | −36.7604 | + | 45.2126i | −0.262575 | + | 0.322947i | ||||
\(141\) | −72.1285 | − | 29.8766i | −0.511550 | − | 0.211891i | ||||
\(142\) | −37.4771 | + | 256.691i | −0.263923 | + | 1.80768i | ||||
\(143\) | −19.1348 | −0.133810 | ||||||||
\(144\) | −9.79434 | − | 46.9901i | −0.0680162 | − | 0.326320i | ||||
\(145\) | 93.5126i | 0.644915i | ||||||||
\(146\) | −27.6533 | + | 189.405i | −0.189406 | + | 1.29729i | ||||
\(147\) | 12.4101 | − | 29.9607i | 0.0844225 | − | 0.203814i | ||||
\(148\) | −25.1391 | − | 243.811i | −0.169859 | − | 1.64737i | ||||
\(149\) | 0.236162 | + | 0.570145i | 0.00158498 | + | 0.00382647i | 0.924670 | − | 0.380769i | \(-0.124341\pi\) |
−0.923085 | + | 0.384596i | \(0.874341\pi\) | |||||||
\(150\) | 53.5282 | + | 31.9175i | 0.356855 | + | 0.212783i | ||||
\(151\) | 156.583 | − | 156.583i | 1.03698 | − | 1.03698i | 0.0376866 | − | 0.999290i | \(-0.488001\pi\) |
0.999290 | − | 0.0376866i | \(-0.0119989\pi\) | |||||||
\(152\) | 0.809257 | − | 19.1514i | 0.00532406 | − | 0.125996i | ||||
\(153\) | 22.3813 | − | 22.3813i | 0.146283 | − | 0.146283i | ||||
\(154\) | −31.8260 | − | 125.836i | −0.206662 | − | 0.817114i | ||||
\(155\) | 24.4191 | + | 58.9530i | 0.157543 | + | 0.380342i | ||||
\(156\) | 9.88843 | − | 5.34373i | 0.0633874 | − | 0.0342547i | ||||
\(157\) | −33.6759 | + | 81.3008i | −0.214496 | + | 0.517840i | −0.994104 | − | 0.108428i | \(-0.965418\pi\) |
0.779608 | + | 0.626268i | \(0.215418\pi\) | |||||||
\(158\) | 89.3101 | + | 119.847i | 0.565254 | + | 0.758527i | ||||
\(159\) | − | 3.45218i | − | 0.0217118i | ||||||
\(160\) | 37.0953 | + | 76.1671i | 0.231846 | + | 0.476044i | ||||
\(161\) | 67.5174 | 0.419363 | ||||||||
\(162\) | 14.4332 | − | 10.7556i | 0.0890938 | − | 0.0663926i | ||||
\(163\) | −87.1420 | − | 36.0954i | −0.534614 | − | 0.221444i | 0.0990090 | − | 0.995087i | \(-0.468433\pi\) |
−0.633623 | + | 0.773642i | \(0.718433\pi\) | |||||||
\(164\) | 263.321 | − | 142.299i | 1.60562 | − | 0.867680i | ||||
\(165\) | 49.9681 | − | 20.6975i | 0.302837 | − | 0.125439i | ||||
\(166\) | 171.509 | − | 43.3776i | 1.03319 | − | 0.261311i | ||||
\(167\) | 97.6589 | + | 97.6589i | 0.584784 | + | 0.584784i | 0.936214 | − | 0.351430i | \(-0.114305\pi\) |
−0.351430 | + | 0.936214i | \(0.614305\pi\) | |||||||
\(168\) | 51.5887 | + | 56.1409i | 0.307075 | + | 0.334172i | ||||
\(169\) | −117.640 | − | 117.640i | −0.696094 | − | 0.696094i | ||||
\(170\) | −28.6111 | + | 47.9830i | −0.168300 | + | 0.282253i | ||||
\(171\) | 6.64102 | − | 2.75080i | 0.0388363 | − | 0.0160865i | ||||
\(172\) | 28.9191 | + | 280.471i | 0.168134 | + | 1.63064i | ||||
\(173\) | 238.848 | + | 98.9342i | 1.38063 | + | 0.571874i | 0.944649 | − | 0.328083i | \(-0.106403\pi\) |
0.435978 | + | 0.899957i | \(0.356403\pi\) | |||||||
\(174\) | 121.072 | + | 17.6767i | 0.695818 | + | 0.101590i | ||||
\(175\) | −98.9932 | −0.565676 | ||||||||
\(176\) | −185.415 | − | 35.1224i | −1.05350 | − | 0.199559i | ||||
\(177\) | − | 87.0304i | − | 0.491697i | ||||||
\(178\) | 26.6811 | + | 3.89547i | 0.149894 | + | 0.0218846i | ||||
\(179\) | −52.2425 | + | 126.125i | −0.291858 | + | 0.704607i | −0.999999 | − | 0.00146404i | \(-0.999534\pi\) |
0.708141 | + | 0.706071i | \(0.249534\pi\) | |||||||
\(180\) | −20.0422 | + | 24.6504i | −0.111346 | + | 0.136947i | ||||
\(181\) | −112.489 | − | 271.572i | −0.621486 | − | 1.50040i | −0.849959 | − | 0.526849i | \(-0.823373\pi\) |
0.228473 | − | 0.973550i | \(-0.426627\pi\) | |||||||
\(182\) | −9.14365 | + | 15.3346i | −0.0502399 | + | 0.0842562i | ||||
\(183\) | −40.0362 | + | 40.0362i | −0.218777 | + | 0.218777i | ||||
\(184\) | 41.3608 | − | 89.0243i | 0.224787 | − | 0.483828i | ||||
\(185\) | −114.713 | + | 114.713i | −0.620068 | + | 0.620068i | ||||
\(186\) | 80.9433 | − | 20.4720i | 0.435179 | − | 0.110064i | ||||
\(187\) | −47.6211 | − | 114.967i | −0.254658 | − | 0.614799i | ||||
\(188\) | 51.5486 | − | 172.772i | 0.274194 | − | 0.919000i | ||||
\(189\) | −10.9415 | + | 26.4152i | −0.0578917 | + | 0.139763i | ||||
\(190\) | −10.1731 | + | 7.58100i | −0.0535427 | + | 0.0399000i | ||||
\(191\) | − | 120.132i | − | 0.628961i | −0.949264 | − | 0.314480i | \(-0.898170\pi\) | ||
0.949264 | − | 0.314480i | \(-0.101830\pi\) | |||||||
\(192\) | 105.627 | − | 33.6300i | 0.550140 | − | 0.175156i | ||||
\(193\) | 101.136 | 0.524018 | 0.262009 | − | 0.965065i | \(-0.415615\pi\) | ||||
0.262009 | + | 0.965065i | \(0.415615\pi\) | |||||||
\(194\) | −110.435 | − | 148.196i | −0.569254 | − | 0.763894i | ||||
\(195\) | −6.87315 | − | 2.84695i | −0.0352469 | − | 0.0145998i | ||||
\(196\) | 71.7658 | + | 21.4122i | 0.366152 | + | 0.109246i | ||||
\(197\) | 131.690 | − | 54.5477i | 0.668476 | − | 0.276892i | −0.0225242 | − | 0.999746i | \(-0.507170\pi\) |
0.691000 | + | 0.722854i | \(0.257170\pi\) | |||||||
\(198\) | −17.3519 | − | 68.6069i | −0.0876358 | − | 0.346500i | ||||
\(199\) | −46.8247 | − | 46.8247i | −0.235300 | − | 0.235300i | 0.579601 | − | 0.814901i | \(-0.303209\pi\) |
−0.814901 | + | 0.579601i | \(0.803209\pi\) | |||||||
\(200\) | −60.6427 | + | 130.526i | −0.303214 | + | 0.652632i | ||||
\(201\) | 139.749 | + | 139.749i | 0.695269 | + | 0.695269i | ||||
\(202\) | −280.980 | − | 167.541i | −1.39099 | − | 0.829412i | ||||
\(203\) | −179.559 | + | 74.3756i | −0.884525 | + | 0.366382i | ||||
\(204\) | 56.7161 | + | 46.1134i | 0.278020 | + | 0.226046i | ||||
\(205\) | −183.027 | − | 75.8121i | −0.892813 | − | 0.369815i | ||||
\(206\) | 19.8305 | − | 135.825i | 0.0962648 | − | 0.659344i | ||||
\(207\) | 36.8112 | 0.177832 | ||||||||
\(208\) | 14.6180 | + | 21.4502i | 0.0702786 | + | 0.103126i | ||||
\(209\) | − | 28.2604i | − | 0.135217i | ||||||
\(210\) | 7.29052 | − | 49.9348i | 0.0347168 | − | 0.237785i | ||||
\(211\) | 8.54819 | − | 20.6372i | 0.0405128 | − | 0.0978065i | −0.902328 | − | 0.431050i | \(-0.858143\pi\) |
0.942841 | + | 0.333244i | \(0.108143\pi\) | |||||||
\(212\) | 7.93042 | − | 0.817697i | 0.0374076 | − | 0.00385706i | ||||
\(213\) | −85.9727 | − | 207.556i | −0.403628 | − | 0.974443i | ||||
\(214\) | 213.185 | + | 127.117i | 0.996191 | + | 0.594004i | ||||
\(215\) | 131.961 | − | 131.961i | 0.613771 | − | 0.613771i | ||||
\(216\) | 28.1267 | + | 30.6086i | 0.130216 | + | 0.141707i | ||||
\(217\) | −93.7769 | + | 93.7769i | −0.432151 | + | 0.432151i | ||||
\(218\) | −20.9829 | − | 82.9634i | −0.0962517 | − | 0.380566i | ||||
\(219\) | −63.4368 | − | 153.150i | −0.289666 | − | 0.699315i | ||||
\(220\) | 59.3823 | + | 109.885i | 0.269920 | + | 0.499479i | ||||
\(221\) | −6.55031 | + | 15.8138i | −0.0296394 | + | 0.0715559i | ||||
\(222\) | 126.836 | + | 170.204i | 0.571333 | + | 0.766685i | ||||
\(223\) | 88.1855i | 0.395451i | 0.980257 | + | 0.197725i | \(0.0633554\pi\) | ||||
−0.980257 | + | 0.197725i | \(0.936645\pi\) | |||||||
\(224\) | −116.748 | + | 131.808i | −0.521199 | + | 0.588430i | ||||
\(225\) | −53.9722 | −0.239877 | ||||||||
\(226\) | −124.672 | + | 92.9057i | −0.551647 | + | 0.411087i | ||||
\(227\) | 198.836 | + | 82.3607i | 0.875931 | + | 0.362822i | 0.774917 | − | 0.632063i | \(-0.217792\pi\) |
0.101013 | + | 0.994885i | \(0.467792\pi\) | |||||||
\(228\) | 7.89221 | + | 14.6043i | 0.0346150 | + | 0.0640540i | ||||
\(229\) | −302.608 | + | 125.344i | −1.32143 | + | 0.547355i | −0.928199 | − | 0.372084i | \(-0.878643\pi\) |
−0.393233 | + | 0.919439i | \(0.628643\pi\) | |||||||
\(230\) | −62.9885 | + | 15.9309i | −0.273863 | + | 0.0692647i | ||||
\(231\) | 79.4846 | + | 79.4846i | 0.344089 | + | 0.344089i | ||||
\(232\) | −11.9295 | + | 282.317i | −0.0514203 | + | 1.21688i | ||||
\(233\) | −63.3477 | − | 63.3477i | −0.271878 | − | 0.271878i | 0.557978 | − | 0.829856i | \(-0.311577\pi\) |
−0.829856 | + | 0.557978i | \(0.811577\pi\) | |||||||
\(234\) | −4.98522 | + | 8.36062i | −0.0213044 | + | 0.0357291i | ||||
\(235\) | −110.251 | + | 45.6675i | −0.469153 | + | 0.194330i | ||||
\(236\) | 199.928 | − | 20.6144i | 0.847153 | − | 0.0873491i | ||||
\(237\) | −119.587 | − | 49.5346i | −0.504587 | − | 0.209007i | ||||
\(238\) | −114.891 | − | 16.7741i | −0.482734 | − | 0.0704796i | ||||
\(239\) | 130.238 | 0.544928 | 0.272464 | − | 0.962166i | \(-0.412161\pi\) | ||||
0.272464 | + | 0.962166i | \(0.412161\pi\) | |||||||
\(240\) | −61.3748 | − | 40.2026i | −0.255728 | − | 0.167511i | ||||
\(241\) | 307.946i | 1.27778i | 0.769297 | + | 0.638892i | \(0.220607\pi\) | ||||
−0.769297 | + | 0.638892i | \(0.779393\pi\) | |||||||
\(242\) | −35.8422 | − | 5.23299i | −0.148108 | − | 0.0216239i | ||||
\(243\) | −5.96544 | + | 14.4019i | −0.0245492 | + | 0.0592669i | ||||
\(244\) | −101.455 | − | 82.4890i | −0.415800 | − | 0.338069i | ||||
\(245\) | −18.9693 | − | 45.7959i | −0.0774257 | − | 0.186922i | ||||
\(246\) | −132.753 | + | 222.637i | −0.539645 | + | 0.905027i | ||||
\(247\) | −2.74870 | + | 2.74870i | −0.0111283 | + | 0.0111283i | ||||
\(248\) | 66.2012 | + | 181.096i | 0.266940 | + | 0.730224i | ||||
\(249\) | −108.334 | + | 108.334i | −0.435078 | + | 0.435078i | ||||
\(250\) | 220.687 | − | 55.8156i | 0.882748 | − | 0.223262i | ||||
\(251\) | −81.4850 | − | 196.722i | −0.324642 | − | 0.783754i | −0.998972 | − | 0.0453246i | \(-0.985568\pi\) |
0.674331 | − | 0.738429i | \(-0.264432\pi\) | |||||||
\(252\) | −63.2732 | − | 18.8783i | −0.251084 | − | 0.0749139i | ||||
\(253\) | 55.3834 | − | 133.707i | 0.218907 | − | 0.528488i | ||||
\(254\) | 307.577 | − | 229.206i | 1.21093 | − | 0.902388i | ||||
\(255\) | − | 48.3810i | − | 0.189730i | ||||||
\(256\) | 102.275 | + | 234.682i | 0.399511 | + | 0.916728i | ||||
\(257\) | −328.067 | −1.27653 | −0.638263 | − | 0.769818i | \(-0.720347\pi\) | ||||
−0.638263 | + | 0.769818i | \(0.720347\pi\) | |||||||
\(258\) | −145.907 | − | 195.796i | −0.565532 | − | 0.758900i | ||||
\(259\) | −311.502 | − | 129.029i | −1.20271 | − | 0.498180i | ||||
\(260\) | 4.91208 | − | 16.4635i | 0.0188926 | − | 0.0633211i | ||||
\(261\) | −97.8973 | + | 40.5504i | −0.375086 | + | 0.155366i | ||||
\(262\) | −50.8452 | − | 201.035i | −0.194066 | − | 0.767309i | ||||
\(263\) | 179.992 | + | 179.992i | 0.684380 | + | 0.684380i | 0.960984 | − | 0.276604i | \(-0.0892091\pi\) |
−0.276604 | + | 0.960984i | \(0.589209\pi\) | |||||||
\(264\) | 153.495 | − | 56.1117i | 0.581422 | − | 0.212544i | ||||
\(265\) | −3.73124 | − | 3.73124i | −0.0140802 | − | 0.0140802i | ||||
\(266\) | −22.6479 | − | 13.5044i | −0.0851424 | − | 0.0507683i | ||||
\(267\) | −21.5740 | + | 8.93623i | −0.0808014 | + | 0.0334690i | ||||
\(268\) | −287.933 | + | 354.136i | −1.07438 | + | 1.32140i | ||||
\(269\) | −222.886 | − | 92.3226i | −0.828574 | − | 0.343207i | −0.0722361 | − | 0.997388i | \(-0.523014\pi\) |
−0.756338 | + | 0.654181i | \(0.773014\pi\) | |||||||
\(270\) | 3.97487 | − | 27.2250i | 0.0147218 | − | 0.100833i | ||||
\(271\) | 259.013 | 0.955769 | 0.477884 | − | 0.878423i | \(-0.341404\pi\) | ||||
0.477884 | + | 0.878423i | \(0.341404\pi\) | |||||||
\(272\) | −92.4987 | + | 141.212i | −0.340069 | + | 0.519162i | ||||
\(273\) | − | 15.4618i | − | 0.0566367i | ||||||
\(274\) | 22.8773 | − | 156.693i | 0.0834939 | − | 0.571873i | ||||
\(275\) | −81.2025 | + | 196.040i | −0.295282 | + | 0.712874i | ||||
\(276\) | 8.71927 | + | 84.5636i | 0.0315915 | + | 0.306390i | ||||
\(277\) | −47.6027 | − | 114.923i | −0.171851 | − | 0.414884i | 0.814364 | − | 0.580354i | \(-0.197086\pi\) |
−0.986215 | + | 0.165470i | \(0.947086\pi\) | |||||||
\(278\) | −29.8731 | − | 17.8126i | −0.107457 | − | 0.0640739i | ||||
\(279\) | −51.1282 | + | 51.1282i | −0.183255 | + | 0.183255i | ||||
\(280\) | 116.438 | + | 4.92018i | 0.415850 | + | 0.0175721i | ||||
\(281\) | −275.219 | + | 275.219i | −0.979427 | + | 0.979427i | −0.999793 | − | 0.0203657i | \(-0.993517\pi\) |
0.0203657 | + | 0.999793i | \(0.493517\pi\) | |||||||
\(282\) | 38.2857 | + | 151.376i | 0.135765 | + | 0.536795i | ||||
\(283\) | 88.4398 | + | 213.512i | 0.312508 | + | 0.754461i | 0.999611 | + | 0.0279008i | \(0.00888225\pi\) |
−0.687103 | + | 0.726560i | \(0.741118\pi\) | |||||||
\(284\) | 456.439 | − | 246.661i | 1.60718 | − | 0.868525i | ||||
\(285\) | 4.20469 | − | 10.1510i | 0.0147533 | − | 0.0356176i | ||||
\(286\) | 22.8674 | + | 30.6863i | 0.0799560 | + | 0.107295i | ||||
\(287\) | − | 411.736i | − | 1.43462i | ||||||
\(288\) | −63.6526 | + | 71.8634i | −0.221016 | + | 0.249526i | ||||
\(289\) | 177.684 | 0.614824 | ||||||||
\(290\) | 149.965 | − | 111.754i | 0.517121 | − | 0.385358i | ||||
\(291\) | 147.874 | + | 61.2513i | 0.508157 | + | 0.210486i | ||||
\(292\) | 336.794 | − | 182.004i | 1.15340 | − | 0.623302i | ||||
\(293\) | 203.093 | − | 84.1237i | 0.693149 | − | 0.287112i | −0.00816246 | − | 0.999967i | \(-0.502598\pi\) |
0.701311 | + | 0.712855i | \(0.252598\pi\) | |||||||
\(294\) | −62.8785 | + | 15.9031i | −0.213872 | + | 0.0540920i | ||||
\(295\) | −94.0657 | − | 94.0657i | −0.318867 | − | 0.318867i | ||||
\(296\) | −360.954 | + | 331.686i | −1.21944 | + | 1.12056i | ||||
\(297\) | 43.3359 | + | 43.3359i | 0.145912 | + | 0.145912i | ||||
\(298\) | 0.632105 | − | 1.06009i | 0.00212116 | − | 0.00355735i | ||||
\(299\) | −18.3915 | + | 7.61803i | −0.0615102 | + | 0.0254784i | ||||
\(300\) | −12.7841 | − | 123.986i | −0.0426136 | − | 0.413287i | ||||
\(301\) | 358.340 | + | 148.429i | 1.19050 | + | 0.493121i | ||||
\(302\) | −438.239 | − | 63.9832i | −1.45112 | − | 0.211865i | ||||
\(303\) | 283.311 | 0.935018 | ||||||||
\(304\) | −31.6800 | + | 21.5894i | −0.104210 | + | 0.0710178i | ||||
\(305\) | 86.5453i | 0.283755i | ||||||||
\(306\) | −62.6397 | − | 9.14545i | −0.204705 | − | 0.0298871i | ||||
\(307\) | 36.3569 | − | 87.7733i | 0.118426 | − | 0.285906i | −0.853540 | − | 0.521028i | \(-0.825549\pi\) |
0.971966 | + | 0.235121i | \(0.0755488\pi\) | |||||||
\(308\) | −163.767 | + | 201.421i | −0.531710 | + | 0.653964i | ||||
\(309\) | 45.4914 | + | 109.826i | 0.147221 | + | 0.355424i | ||||
\(310\) | 65.3597 | − | 109.613i | 0.210838 | − | 0.353592i | ||||
\(311\) | 177.975 | − | 177.975i | 0.572268 | − | 0.572268i | −0.360493 | − | 0.932762i | \(-0.617392\pi\) |
0.932762 | + | 0.360493i | \(0.117392\pi\) | |||||||
\(312\) | −20.3870 | − | 9.47183i | −0.0653430 | − | 0.0303584i | ||||
\(313\) | 342.829 | − | 342.829i | 1.09530 | − | 1.09530i | 0.100347 | − | 0.994953i | \(-0.468005\pi\) |
0.994953 | − | 0.100347i | \(-0.0319951\pi\) | |||||||
\(314\) | 170.626 | − | 43.1543i | 0.543395 | − | 0.137434i | ||||
\(315\) | 16.7245 | + | 40.3765i | 0.0530937 | + | 0.128179i | ||||
\(316\) | 85.4660 | − | 286.451i | 0.270462 | − | 0.906491i | ||||
\(317\) | 40.3004 | − | 97.2937i | 0.127131 | − | 0.306920i | −0.847480 | − | 0.530827i | \(-0.821881\pi\) |
0.974610 | + | 0.223907i | \(0.0718812\pi\) | |||||||
\(318\) | −5.53621 | + | 4.12558i | −0.0174095 | + | 0.0129735i | ||||
\(319\) | 416.596i | 1.30594i | ||||||||
\(320\) | 77.8168 | − | 150.514i | 0.243177 | − | 0.470356i | ||||
\(321\) | −214.953 | −0.669636 | ||||||||
\(322\) | −80.6878 | − | 108.277i | −0.250583 | − | 0.336263i | ||||
\(323\) | −23.3556 | − | 9.67422i | −0.0723085 | − | 0.0299511i | ||||
\(324\) | −34.4973 | − | 10.2927i | −0.106473 | − | 0.0317675i | ||||
\(325\) | 26.9655 | − | 11.1695i | 0.0829707 | − | 0.0343676i | ||||
\(326\) | 46.2548 | + | 182.885i | 0.141886 | + | 0.560997i | ||||
\(327\) | 52.4042 | + | 52.4042i | 0.160258 | + | 0.160258i | ||||
\(328\) | −542.890 | − | 252.228i | −1.65515 | − | 0.768986i | ||||
\(329\) | −175.377 | − | 175.377i | −0.533061 | − | 0.533061i | ||||
\(330\) | −92.9075 | − | 55.3984i | −0.281538 | − | 0.167874i | ||||
\(331\) | 555.090 | − | 229.926i | 1.67701 | − | 0.694640i | 0.677832 | − | 0.735217i | \(-0.262920\pi\) |
0.999176 | + | 0.0405768i | \(0.0129196\pi\) | |||||||
\(332\) | −274.529 | − | 223.208i | −0.826894 | − | 0.672313i | ||||
\(333\) | −169.835 | − | 70.3478i | −0.510014 | − | 0.211255i | ||||
\(334\) | 39.9055 | − | 273.323i | 0.119477 | − | 0.818333i | ||||
\(335\) | 302.092 | 0.901768 | ||||||||
\(336\) | 28.3805 | − | 149.824i | 0.0844658 | − | 0.445905i | ||||
\(337\) | 611.720i | 1.81519i | 0.419845 | + | 0.907596i | \(0.362084\pi\) | ||||
−0.419845 | + | 0.907596i | \(0.637916\pi\) | |||||||
\(338\) | −48.0701 | + | 329.245i | −0.142219 | + | 0.974099i | ||||
\(339\) | 51.5289 | − | 124.402i | 0.152003 | − | 0.366967i | ||||
\(340\) | 111.142 | − | 11.4597i | 0.326888 | − | 0.0337051i | ||||
\(341\) | 108.786 | + | 262.634i | 0.319022 | + | 0.770187i | ||||
\(342\) | −12.3479 | − | 7.36273i | −0.0361049 | − | 0.0215284i | ||||
\(343\) | 263.498 | − | 263.498i | 0.768216 | − | 0.768216i | ||||
\(344\) | 415.227 | − | 381.559i | 1.20706 | − | 1.10918i | ||||
\(345\) | 39.7870 | − | 39.7870i | 0.115325 | − | 0.115325i | ||||
\(346\) | −126.780 | − | 501.271i | −0.366417 | − | 1.44876i | ||||
\(347\) | 122.090 | + | 294.751i | 0.351844 | + | 0.849426i | 0.996393 | + | 0.0848628i | \(0.0270452\pi\) |
−0.644549 | + | 0.764563i | \(0.722955\pi\) | |||||||
\(348\) | −116.342 | − | 215.287i | −0.334315 | − | 0.618641i | ||||
\(349\) | 261.168 | − | 630.515i | 0.748332 | − | 1.80663i | 0.180329 | − | 0.983606i | \(-0.442284\pi\) |
0.568002 | − | 0.823027i | \(-0.307716\pi\) | |||||||
\(350\) | 118.304 | + | 158.754i | 0.338010 | + | 0.453584i | ||||
\(351\) | − | 8.42996i | − | 0.0240170i | ||||||
\(352\) | 165.258 | + | 339.322i | 0.469484 | + | 0.963983i | ||||
\(353\) | 132.343 | 0.374910 | 0.187455 | − | 0.982273i | \(-0.439976\pi\) | ||||
0.187455 | + | 0.982273i | \(0.439976\pi\) | |||||||
\(354\) | −139.570 | + | 104.007i | −0.394264 | + | 0.293805i | ||||
\(355\) | −317.257 | − | 131.412i | −0.893683 | − | 0.370175i | ||||
\(356\) | −25.6386 | − | 47.4435i | −0.0720186 | − | 0.133268i | ||||
\(357\) | 92.8990 | − | 38.4800i | 0.260221 | − | 0.107787i | ||||
\(358\) | 264.698 | − | 66.9467i | 0.739379 | − | 0.187002i | ||||
\(359\) | −244.221 | − | 244.221i | −0.680280 | − | 0.680280i | 0.279783 | − | 0.960063i | \(-0.409737\pi\) |
−0.960063 | + | 0.279783i | \(0.909737\pi\) | |||||||
\(360\) | 63.4834 | + | 2.68254i | 0.176343 | + | 0.00745150i | ||||
\(361\) | 251.206 | + | 251.206i | 0.695861 | + | 0.695861i | ||||
\(362\) | −301.085 | + | 504.944i | −0.831728 | + | 1.39487i | ||||
\(363\) | 28.9815 | − | 12.0045i | 0.0798388 | − | 0.0330703i | ||||
\(364\) | 35.5192 | − | 3.66235i | 0.0975804 | − | 0.0100614i | ||||
\(365\) | −234.095 | − | 96.9654i | −0.641357 | − | 0.265659i | ||||
\(366\) | 112.052 | + | 16.3596i | 0.306152 | + | 0.0446985i | ||||
\(367\) | −448.004 | −1.22072 | −0.610359 | − | 0.792125i | \(-0.708975\pi\) | ||||
−0.610359 | + | 0.792125i | \(0.708975\pi\) | |||||||
\(368\) | −192.196 | + | 40.0602i | −0.522272 | + | 0.108859i | ||||
\(369\) | − | 224.483i | − | 0.608356i | ||||||
\(370\) | 321.052 | + | 46.8739i | 0.867709 | + | 0.126686i | ||||
\(371\) | 4.19690 | − | 10.1322i | 0.0113124 | − | 0.0273105i | ||||
\(372\) | −129.563 | − | 105.342i | −0.348288 | − | 0.283178i | ||||
\(373\) | 190.741 | + | 460.490i | 0.511370 | + | 1.23456i | 0.943087 | + | 0.332547i | \(0.107908\pi\) |
−0.431716 | + | 0.902009i | \(0.642092\pi\) | |||||||
\(374\) | −127.461 | + | 213.763i | −0.340806 | + | 0.571559i | ||||
\(375\) | −139.398 | + | 139.398i | −0.371728 | + | 0.371728i | ||||
\(376\) | −338.676 | + | 123.806i | −0.900735 | + | 0.329272i | ||||
\(377\) | 40.5194 | − | 40.5194i | 0.107479 | − | 0.107479i | ||||
\(378\) | 55.4376 | − | 14.0211i | 0.146660 | − | 0.0370929i | ||||
\(379\) | 105.816 | + | 255.464i | 0.279199 | + | 0.674046i | 0.999814 | − | 0.0192892i | \(-0.00614033\pi\) |
−0.720615 | + | 0.693336i | \(0.756140\pi\) | |||||||
\(380\) | 24.3151 | + | 7.25470i | 0.0639871 | + | 0.0190913i | ||||
\(381\) | −127.126 | + | 306.910i | −0.333664 | + | 0.805537i | ||||
\(382\) | −192.653 | + | 143.565i | −0.504328 | + | 0.375825i | ||||
\(383\) | 26.0891i | 0.0681176i | 0.999420 | + | 0.0340588i | \(0.0108434\pi\) | ||||
−0.999420 | + | 0.0340588i | \(0.989157\pi\) | |||||||
\(384\) | −180.163 | − | 129.202i | −0.469175 | − | 0.336464i | ||||
\(385\) | 171.820 | 0.446285 | ||||||||
\(386\) | −120.864 | − | 162.190i | −0.313118 | − | 0.420181i | ||||
\(387\) | 195.371 | + | 80.9254i | 0.504835 | + | 0.209110i | ||||
\(388\) | −105.682 | + | 354.207i | −0.272376 | + | 0.912905i | ||||
\(389\) | −295.230 | + | 122.288i | −0.758947 | + | 0.314366i | −0.728386 | − | 0.685167i | \(-0.759729\pi\) |
−0.0305609 | + | 0.999533i | \(0.509729\pi\) | |||||||
\(390\) | 3.64825 | + | 14.4247i | 0.00935449 | + | 0.0369864i | ||||
\(391\) | −91.5425 | − | 91.5425i | −0.234124 | − | 0.234124i | ||||
\(392\) | −51.4265 | − | 140.679i | −0.131190 | − | 0.358875i | ||||
\(393\) | 126.985 | + | 126.985i | 0.323116 | + | 0.323116i | ||||
\(394\) | −244.856 | − | 146.001i | −0.621461 | − | 0.370561i | ||||
\(395\) | −182.793 | + | 75.7154i | −0.462767 | + | 0.191684i | ||||
\(396\) | −89.2874 | + | 109.817i | −0.225473 | + | 0.277315i | ||||
\(397\) | 356.068 | + | 147.488i | 0.896897 | + | 0.371507i | 0.783026 | − | 0.621989i | \(-0.213675\pi\) |
0.113871 | + | 0.993496i | \(0.463675\pi\) | |||||||
\(398\) | −19.1335 | + | 131.051i | −0.0480742 | + | 0.329273i | ||||
\(399\) | 22.8357 | 0.0572324 | ||||||||
\(400\) | 281.796 | − | 58.7358i | 0.704489 | − | 0.146839i | ||||
\(401\) | − | 316.421i | − | 0.789080i | −0.918879 | − | 0.394540i | \(-0.870904\pi\) | ||
0.918879 | − | 0.394540i | \(-0.129096\pi\) | |||||||
\(402\) | 57.1044 | − | 391.123i | 0.142051 | − | 0.972944i | ||||
\(403\) | 14.9637 | − | 36.1255i | 0.0371307 | − | 0.0896413i | ||||
\(404\) | 67.1062 | + | 650.827i | 0.166104 | + | 1.61096i | ||||
\(405\) | 9.11839 | + | 22.0137i | 0.0225145 | + | 0.0543549i | ||||
\(406\) | 333.860 | + | 199.072i | 0.822314 | + | 0.490325i | ||||
\(407\) | −511.041 | + | 511.041i | −1.25563 | + | 1.25563i | ||||
\(408\) | 6.17203 | − | 146.063i | 0.0151275 | − | 0.357999i | ||||
\(409\) | 105.887 | − | 105.887i | 0.258893 | − | 0.258893i | −0.565710 | − | 0.824604i | \(-0.691398\pi\) |
0.824604 | + | 0.565710i | \(0.191398\pi\) | |||||||
\(410\) | 97.1502 | + | 384.118i | 0.236952 | + | 0.936874i | ||||
\(411\) | 52.4808 | + | 126.700i | 0.127690 | + | 0.308272i | ||||
\(412\) | −241.519 | + | 130.518i | −0.586212 | + | 0.316791i | ||||
\(413\) | 105.805 | − | 255.436i | 0.256187 | − | 0.618489i | ||||
\(414\) | −43.9919 | − | 59.0337i | −0.106261 | − | 0.142594i | ||||
\(415\) | 234.184i | 0.564299i | ||||||||
\(416\) | 16.9299 | − | 49.0770i | 0.0406970 | − | 0.117974i | ||||
\(417\) | 30.1209 | 0.0722323 | ||||||||
\(418\) | −45.3209 | + | 33.7731i | −0.108423 | + | 0.0807969i | ||||
\(419\) | −228.165 | − | 94.5090i | −0.544546 | − | 0.225559i | 0.0934144 | − | 0.995627i | \(-0.470222\pi\) |
−0.637961 | + | 0.770069i | \(0.720222\pi\) | |||||||
\(420\) | −88.7924 | + | 47.9837i | −0.211411 | + | 0.114247i | ||||
\(421\) | −274.847 | + | 113.845i | −0.652844 | + | 0.270417i | −0.684424 | − | 0.729084i | \(-0.739946\pi\) |
0.0315798 | + | 0.999501i | \(0.489946\pi\) | |||||||
\(422\) | −43.3112 | + | 10.9542i | −0.102633 | + | 0.0259577i | ||||
\(423\) | −95.6175 | − | 95.6175i | −0.226046 | − | 0.226046i | ||||
\(424\) | −10.7887 | − | 11.7407i | −0.0254451 | − | 0.0276904i | ||||
\(425\) | 134.219 | + | 134.219i | 0.315808 | + | 0.315808i | ||||
\(426\) | −230.113 | + | 385.917i | −0.540170 | + | 0.905909i | ||||
\(427\) | −166.180 | + | 68.8341i | −0.389181 | + | 0.161204i | ||||
\(428\) | −50.9147 | − | 493.795i | −0.118960 | − | 1.15373i | ||||
\(429\) | −30.6197 | − | 12.6831i | −0.0713745 | − | 0.0295643i | ||||
\(430\) | −369.326 | − | 53.9219i | −0.858898 | − | 0.125400i | ||||
\(431\) | −88.4729 | −0.205274 | −0.102637 | − | 0.994719i | \(-0.532728\pi\) | ||||
−0.102637 | + | 0.994719i | \(0.532728\pi\) | |||||||
\(432\) | 15.4734 | − | 81.6858i | 0.0358180 | − | 0.189088i | ||||
\(433\) | − | 632.415i | − | 1.46054i | −0.683157 | − | 0.730271i | \(-0.739394\pi\) | ||
0.683157 | − | 0.730271i | \(-0.260606\pi\) | |||||||
\(434\) | 262.458 | + | 38.3192i | 0.604743 | + | 0.0882930i | ||||
\(435\) | −61.9827 | + | 149.640i | −0.142489 | + | 0.343999i | ||||
\(436\) | −107.971 | + | 132.797i | −0.247641 | + | 0.304580i | ||||
\(437\) | −11.2511 | − | 27.1627i | −0.0257463 | − | 0.0621571i | ||||
\(438\) | −169.794 | + | 284.757i | −0.387657 | + | 0.650131i | ||||
\(439\) | −344.094 | + | 344.094i | −0.783812 | + | 0.783812i | −0.980472 | − | 0.196660i | \(-0.936991\pi\) |
0.196660 | + | 0.980472i | \(0.436991\pi\) | |||||||
\(440\) | 105.256 | − | 226.551i | 0.239218 | − | 0.514889i | ||||
\(441\) | 39.7175 | − | 39.7175i | 0.0900623 | − | 0.0900623i | ||||
\(442\) | 33.1885 | − | 8.39396i | 0.0750872 | − | 0.0189909i | ||||
\(443\) | 16.8358 | + | 40.6453i | 0.0380042 | + | 0.0917502i | 0.941742 | − | 0.336336i | \(-0.109188\pi\) |
−0.903738 | + | 0.428086i | \(0.859188\pi\) | |||||||
\(444\) | 121.377 | − | 406.811i | 0.273371 | − | 0.916241i | ||||
\(445\) | −13.6593 | + | 32.9766i | −0.0306952 | + | 0.0741047i | ||||
\(446\) | 141.422 | − | 105.388i | 0.317090 | − | 0.236295i | ||||
\(447\) | 1.06888i | 0.00239124i | ||||||||
\(448\) | 350.902 | + | 29.7083i | 0.783263 | + | 0.0663132i | ||||
\(449\) | −712.697 | −1.58730 | −0.793649 | − | 0.608376i | \(-0.791821\pi\) | ||||
−0.793649 | + | 0.608376i | \(0.791821\pi\) | |||||||
\(450\) | 64.5004 | + | 86.5546i | 0.143334 | + | 0.192344i | ||||
\(451\) | −815.378 | − | 337.741i | −1.80793 | − | 0.748871i | ||||
\(452\) | 297.984 | + | 88.9069i | 0.659256 | + | 0.196697i | ||||
\(453\) | 354.353 | − | 146.778i | 0.782237 | − | 0.324013i | ||||
\(454\) | −105.542 | − | 417.298i | −0.232471 | − | 0.919158i | ||||
\(455\) | −16.7117 | − | 16.7117i | −0.0367291 | − | 0.0367291i | ||||
\(456\) | 13.9890 | − | 30.1098i | 0.0306777 | − | 0.0660302i | ||||
\(457\) | −215.306 | − | 215.306i | −0.471129 | − | 0.471129i | 0.431151 | − | 0.902280i | \(-0.358108\pi\) |
−0.902280 | + | 0.431151i | \(0.858108\pi\) | |||||||
\(458\) | 562.650 | + | 335.494i | 1.22849 | + | 0.732519i | ||||
\(459\) | 50.6496 | − | 20.9797i | 0.110348 | − | 0.0457075i | ||||
\(460\) | 100.824 | + | 81.9754i | 0.219182 | + | 0.178207i | ||||
\(461\) | −476.683 | − | 197.449i | −1.03402 | − | 0.428305i | −0.199858 | − | 0.979825i | \(-0.564048\pi\) |
−0.834162 | + | 0.551520i | \(0.814048\pi\) | |||||||
\(462\) | 32.4791 | − | 222.458i | 0.0703010 | − | 0.481511i | ||||
\(463\) | −369.088 | −0.797167 | −0.398584 | − | 0.917132i | \(-0.630498\pi\) | ||||
−0.398584 | + | 0.917132i | \(0.630498\pi\) | |||||||
\(464\) | 467.005 | − | 318.256i | 1.00648 | − | 0.685897i | ||||
\(465\) | 110.523i | 0.237683i | ||||||||
\(466\) | −25.8852 | + | 177.295i | −0.0555476 | + | 0.380460i | ||||
\(467\) | 266.802 | − | 644.117i | 0.571310 | − | 1.37926i | −0.329130 | − | 0.944285i | \(-0.606755\pi\) |
0.900440 | − | 0.434980i | \(-0.143245\pi\) | |||||||
\(468\) | 19.3655 | − | 1.99676i | 0.0413793 | − | 0.00426657i | ||||
\(469\) | 240.270 | + | 580.063i | 0.512303 | + | 1.23681i | ||||
\(470\) | 204.994 | + | 122.233i | 0.436157 | + | 0.260069i | ||||
\(471\) | −107.777 | + | 107.777i | −0.228825 | + | 0.228825i | ||||
\(472\) | −271.987 | − | 295.987i | −0.576243 | − | 0.627090i | ||||
\(473\) | 587.882 | − | 587.882i | 1.24288 | − | 1.24288i | ||||
\(474\) | 63.4766 | + | 250.978i | 0.133917 | + | 0.529488i | ||||
\(475\) | 16.4963 | + | 39.8256i | 0.0347291 | + | 0.0838434i | ||||
\(476\) | 110.402 | + | 204.295i | 0.231936 | + | 0.429191i | ||||
\(477\) | 2.28820 | − | 5.52420i | 0.00479706 | − | 0.0115811i | ||||
\(478\) | −155.643 | − | 208.861i | −0.325613 | − | 0.436947i | ||||
\(479\) | − | 378.016i | − | 0.789178i | −0.918858 | − | 0.394589i | \(-0.870887\pi\) | ||
0.918858 | − | 0.394589i | \(-0.129113\pi\) | |||||||
\(480\) | 8.87455 | + | 146.471i | 0.0184887 | + | 0.305147i | ||||
\(481\) | 99.4108 | 0.206675 | ||||||||
\(482\) | 493.849 | − | 368.016i | 1.02458 | − | 0.763518i | ||||
\(483\) | 108.042 | + | 44.7524i | 0.223689 | + | 0.0926550i | ||||
\(484\) | 34.4417 | + | 63.7334i | 0.0711606 | + | 0.131681i | ||||
\(485\) | 226.030 | − | 93.6248i | 0.466042 | − | 0.193041i | ||||
\(486\) | 30.2252 | − | 7.64447i | 0.0621917 | − | 0.0157294i | ||||
\(487\) | −222.455 | − | 222.455i | −0.456786 | − | 0.456786i | 0.440813 | − | 0.897599i | \(-0.354690\pi\) |
−0.897599 | + | 0.440813i | \(0.854690\pi\) | |||||||
\(488\) | −11.0407 | + | 261.282i | −0.0226244 | + | 0.535415i | ||||
\(489\) | −115.520 | − | 115.520i | −0.236238 | − | 0.236238i | ||||
\(490\) | −50.7728 | + | 85.1500i | −0.103618 | + | 0.173776i | ||||
\(491\) | 23.4533 | − | 9.71469i | 0.0477665 | − | 0.0197855i | −0.358672 | − | 0.933464i | \(-0.616770\pi\) |
0.406439 | + | 0.913678i | \(0.366770\pi\) | |||||||
\(492\) | 515.688 | − | 53.1721i | 1.04815 | − | 0.108073i | ||||
\(493\) | 344.293 | + | 142.611i | 0.698363 | + | 0.289271i | ||||
\(494\) | 7.69293 | + | 1.12317i | 0.0155727 | + | 0.00227363i | ||||
\(495\) | 93.6781 | 0.189249 | ||||||||
\(496\) | 211.306 | − | 322.587i | 0.426020 | − | 0.650378i | ||||
\(497\) | − | 713.702i | − | 1.43602i | ||||||
\(498\) | 303.202 | + | 44.2677i | 0.608839 | + | 0.0888910i | ||||
\(499\) | −167.053 | + | 403.300i | −0.334775 | + | 0.808217i | 0.663425 | + | 0.748242i | \(0.269102\pi\) |
−0.998200 | + | 0.0599748i | \(0.980898\pi\) | |||||||
\(500\) | −353.247 | − | 287.210i | −0.706493 | − | 0.574420i | ||||
\(501\) | 91.5434 | + | 221.005i | 0.182721 | + | 0.441128i | ||||
\(502\) | −218.101 | + | 365.773i | −0.434464 | + | 0.728631i | ||||
\(503\) | −475.486 | + | 475.486i | −0.945300 | + | 0.945300i | −0.998580 | − | 0.0532793i | \(-0.983033\pi\) |
0.0532793 | + | 0.998580i | \(0.483033\pi\) | |||||||
\(504\) | 45.3408 | + | 124.031i | 0.0899619 | + | 0.246094i | ||||
\(505\) | 306.213 | − | 306.213i | 0.606362 | − | 0.606362i | ||||
\(506\) | −280.612 | + | 70.9716i | −0.554569 | + | 0.140260i | ||||
\(507\) | −110.273 | − | 266.223i | −0.217501 | − | 0.525095i | ||||
\(508\) | −735.151 | − | 219.341i | −1.44715 | − | 0.431774i | ||||
\(509\) | −122.245 | + | 295.125i | −0.240167 | + | 0.579814i | −0.997299 | − | 0.0734479i | \(-0.976600\pi\) |
0.757132 | + | 0.653261i | \(0.226600\pi\) | |||||||
\(510\) | −77.5881 | + | 57.8186i | −0.152133 | + | 0.113370i | ||||
\(511\) | − | 526.620i | − | 1.03057i | ||||||
\(512\) | 254.132 | − | 444.478i | 0.496352 | − | 0.868122i | ||||
\(513\) | 12.4503 | 0.0242696 | ||||||||
\(514\) | 392.062 | + | 526.118i | 0.762767 | + | 1.02357i | ||||
\(515\) | 167.873 | + | 69.5352i | 0.325967 | + | 0.135020i | ||||
\(516\) | −139.627 | + | 467.979i | −0.270595 | + | 0.906937i | ||||
\(517\) | −491.165 | + | 203.447i | −0.950029 | + | 0.393515i | ||||
\(518\) | 165.345 | + | 653.751i | 0.319199 | + | 1.26207i | ||||
\(519\) | 316.630 | + | 316.630i | 0.610078 | + | 0.610078i | ||||
\(520\) | −32.2726 | + | 11.7975i | −0.0620626 | + | 0.0226876i | ||||
\(521\) | 621.839 | + | 621.839i | 1.19355 | + | 1.19355i | 0.976064 | + | 0.217486i | \(0.0697855\pi\) |
0.217486 | + | 0.976064i | \(0.430215\pi\) | |||||||
\(522\) | 182.024 | + | 108.536i | 0.348705 | + | 0.207924i | ||||
\(523\) | 348.756 | − | 144.459i | 0.666837 | − | 0.276213i | −0.0234751 | − | 0.999724i | \(-0.507473\pi\) |
0.690312 | + | 0.723511i | \(0.257473\pi\) | |||||||
\(524\) | −261.634 | + | 321.790i | −0.499301 | + | 0.614104i | ||||
\(525\) | −158.410 | − | 65.6154i | −0.301733 | − | 0.124982i | ||||
\(526\) | 73.5484 | − | 503.753i | 0.139826 | − | 0.957706i | ||||
\(527\) | 254.292 | 0.482527 | ||||||||
\(528\) | −273.423 | − | 179.101i | −0.517846 | − | 0.339207i | ||||
\(529\) | 378.437i | 0.715382i | ||||||||
\(530\) | −1.52466 | + | 10.4428i | −0.00287672 | + | 0.0197035i | ||||
\(531\) | 57.6861 | − | 139.267i | 0.108637 | − | 0.262272i | ||||
\(532\) | 5.40897 | + | 52.4587i | 0.0101672 | + | 0.0986067i | ||||
\(533\) | 46.4565 | + | 112.156i | 0.0871604 | + | 0.210424i | ||||
\(534\) | 40.1133 | + | 23.9185i | 0.0751185 | + | 0.0447912i | ||||
\(535\) | −232.330 | + | 232.330i | −0.434261 | + | 0.434261i | ||||
\(536\) | 912.023 | + | 38.5383i | 1.70154 | + | 0.0718997i | ||||
\(537\) | −167.198 | + | 167.198i | −0.311355 | + | 0.311355i | ||||
\(538\) | 118.308 | + | 467.772i | 0.219903 | + | 0.869465i | ||||
\(539\) | −84.5076 | − | 204.019i | −0.156786 | − | 0.378515i | ||||
\(540\) | −48.4106 | + | 26.1612i | −0.0896493 | + | 0.0484467i | ||||
\(541\) | 111.084 | − | 268.182i | 0.205332 | − | 0.495715i | −0.787345 | − | 0.616512i | \(-0.788545\pi\) |
0.992677 | + | 0.120797i | \(0.0385451\pi\) | |||||||
\(542\) | −309.538 | − | 415.377i | −0.571104 | − | 0.766377i | ||||
\(543\) | − | 509.132i | − | 0.937629i | ||||||
\(544\) | 337.002 | − | 20.4187i | 0.619489 | − | 0.0375344i | ||||
\(545\) | 113.281 | 0.207855 | ||||||||
\(546\) | −24.7959 | + | 18.4779i | −0.0454138 | + | 0.0338423i | ||||
\(547\) | 76.5752 | + | 31.7185i | 0.139991 | + | 0.0579862i | 0.451579 | − | 0.892231i | \(-0.350861\pi\) |
−0.311588 | + | 0.950217i | \(0.600861\pi\) | |||||||
\(548\) | −278.627 | + | 150.571i | −0.508443 | + | 0.274764i | ||||
\(549\) | −90.6033 | + | 37.5291i | −0.165033 | + | 0.0683591i | ||||
\(550\) | 411.430 | − | 104.058i | 0.748054 | − | 0.189196i | ||||
\(551\) | 59.8435 | + | 59.8435i | 0.108609 | + | 0.108609i | ||||
\(552\) | 125.193 | − | 115.042i | 0.226800 | − | 0.208410i | ||||
\(553\) | −290.770 | − | 290.770i | −0.525805 | − | 0.525805i | ||||
\(554\) | −127.412 | + | 213.680i | −0.229986 | + | 0.385705i | ||||
\(555\) | −259.598 | + | 107.529i | −0.467745 | + | 0.193746i | ||||
\(556\) | 7.13456 | + | 69.1943i | 0.0128319 | + | 0.124450i | ||||
\(557\) | 575.171 | + | 238.244i | 1.03262 | + | 0.427726i | 0.833658 | − | 0.552281i | \(-0.186242\pi\) |
0.198964 | + | 0.980007i | \(0.436242\pi\) | |||||||
\(558\) | 143.095 | + | 20.8920i | 0.256443 | + | 0.0374409i | ||||
\(559\) | −114.358 | −0.204577 | ||||||||
\(560\) | −131.261 | − | 192.610i | −0.234394 | − | 0.343947i | ||||
\(561\) | − | 215.536i | − | 0.384200i | ||||||
\(562\) | 770.270 | + | 112.460i | 1.37059 | + | 0.200107i | ||||
\(563\) | 213.668 | − | 515.840i | 0.379517 | − | 0.916235i | −0.612539 | − | 0.790440i | \(-0.709852\pi\) |
0.992056 | − | 0.125795i | \(-0.0401482\pi\) | |||||||
\(564\) | 197.006 | − | 242.303i | 0.349302 | − | 0.429615i | ||||
\(565\) | −78.7637 | − | 190.152i | −0.139405 | − | 0.336553i | ||||
\(566\) | 236.716 | − | 396.992i | 0.418226 | − | 0.701398i | ||||
\(567\) | −35.0174 | + | 35.0174i | −0.0617591 | + | 0.0617591i | ||||
\(568\) | −941.043 | − | 437.210i | −1.65677 | − | 0.769735i | ||||
\(569\) | −14.5552 | + | 14.5552i | −0.0255804 | + | 0.0255804i | −0.719781 | − | 0.694201i | \(-0.755758\pi\) |
0.694201 | + | 0.719781i | \(0.255758\pi\) | |||||||
\(570\) | −21.3040 | + | 5.38814i | −0.0373754 | + | 0.00945288i | ||||
\(571\) | 345.000 | + | 832.905i | 0.604204 | + | 1.45868i | 0.869216 | + | 0.494432i | \(0.164624\pi\) |
−0.265013 | + | 0.964245i | \(0.585376\pi\) | |||||||
\(572\) | 21.8832 | − | 73.3444i | 0.0382573 | − | 0.128224i | ||||
\(573\) | 79.6264 | − | 192.235i | 0.138964 | − | 0.335489i | ||||
\(574\) | −660.297 | + | 492.053i | −1.15034 | + | 0.857235i | ||||
\(575\) | 220.754i | 0.383920i | ||||||||
\(576\) | 191.316 | + | 16.1973i | 0.332145 | + | 0.0281203i | ||||
\(577\) | −1014.06 | −1.75747 | −0.878734 | − | 0.477312i | \(-0.841611\pi\) | ||||
−0.878734 | + | 0.477312i | \(0.841611\pi\) | |||||||
\(578\) | −212.345 | − | 284.950i | −0.367378 | − | 0.492993i | ||||
\(579\) | 161.838 | + | 67.0354i | 0.279512 | + | 0.115778i | ||||
\(580\) | −358.437 | − | 106.944i | −0.617994 | − | 0.184386i | ||||
\(581\) | −449.669 | + | 186.259i | −0.773957 | + | 0.320583i | ||||
\(582\) | −78.4911 | − | 310.343i | −0.134864 | − | 0.533235i | ||||
\(583\) | −16.6226 | − | 16.6226i | −0.0285121 | − | 0.0285121i | ||||
\(584\) | −694.369 | − | 322.605i | −1.18899 | − | 0.552405i | ||||
\(585\) | −9.11142 | − | 9.11142i | −0.0155751 | − | 0.0155751i | ||||
\(586\) | −377.618 | − | 225.164i | −0.644399 | − | 0.384238i | ||||
\(587\) | 999.121 | − | 413.849i | 1.70208 | − | 0.705024i | 0.702104 | − | 0.712074i | \(-0.252244\pi\) |
0.999975 | + | 0.00704949i | \(0.00224394\pi\) | |||||||
\(588\) | 100.648 | + | 81.8322i | 0.171169 | + | 0.139170i | ||||
\(589\) | 53.3541 | + | 22.1000i | 0.0905841 | + | 0.0375212i | ||||
\(590\) | −38.4372 | + | 263.267i | −0.0651478 | + | 0.446215i | ||||
\(591\) | 246.887 | 0.417744 | ||||||||
\(592\) | 963.285 | + | 182.470i | 1.62717 | + | 0.308227i | ||||
\(593\) | 446.986i | 0.753770i | 0.926260 | + | 0.376885i | \(0.123005\pi\) | ||||
−0.926260 | + | 0.376885i | \(0.876995\pi\) | |||||||
\(594\) | 17.7079 | − | 121.287i | 0.0298114 | − | 0.204186i | ||||
\(595\) | 58.8181 | − | 141.999i | 0.0988539 | − | 0.238654i | ||||
\(596\) | −2.45546 | + | 0.253180i | −0.00411990 | + | 0.000424799i | ||||
\(597\) | −43.8925 | − | 105.966i | −0.0735217 | − | 0.177497i | ||||
\(598\) | 34.1961 | + | 20.3902i | 0.0571841 | + | 0.0340974i | ||||
\(599\) | −620.335 | + | 620.335i | −1.03562 | + | 1.03562i | −0.0362765 | + | 0.999342i | \(0.511550\pi\) |
−0.999342 | + | 0.0362765i | \(0.988450\pi\) | |||||||
\(600\) | −183.557 | + | 168.673i | −0.305929 | + | 0.281122i | ||||
\(601\) | 182.515 | − | 182.515i | 0.303686 | − | 0.303686i | −0.538768 | − | 0.842454i | \(-0.681110\pi\) |
0.842454 | + | 0.538768i | \(0.181110\pi\) | |||||||
\(602\) | −190.206 | − | 752.049i | −0.315957 | − | 1.24925i | ||||
\(603\) | 130.998 | + | 316.257i | 0.217244 | + | 0.524472i | ||||
\(604\) | 421.115 | + | 779.262i | 0.697211 | + | 1.29017i | ||||
\(605\) | 18.3493 | − | 44.2992i | 0.0303295 | − | 0.0732218i | ||||
\(606\) | −338.575 | − | 454.342i | −0.558705 | − | 0.749739i | ||||
\(607\) | − | 304.396i | − | 0.501476i | −0.968055 | − | 0.250738i | \(-0.919327\pi\) | ||
0.968055 | − | 0.250738i | \(-0.0806732\pi\) | |||||||
\(608\) | 72.4824 | + | 25.0040i | 0.119214 | + | 0.0411250i | ||||
\(609\) | −336.629 | −0.552757 | ||||||||
\(610\) | 138.792 | − | 103.427i | 0.227527 | − | 0.169553i | ||||
\(611\) | 67.5601 | + | 27.9843i | 0.110573 | + | 0.0458008i | ||||
\(612\) | 60.1922 | + | 111.384i | 0.0983532 | + | 0.182000i | ||||
\(613\) | −273.964 | + | 113.479i | −0.446923 | + | 0.185121i | −0.594782 | − | 0.803887i | \(-0.702762\pi\) |
0.147859 | + | 0.989008i | \(0.452762\pi\) | |||||||
\(614\) | −184.210 | + | 46.5899i | −0.300016 | + | 0.0758793i | ||||
\(615\) | −242.630 | − | 242.630i | −0.394520 | − | 0.394520i | ||||
\(616\) | 518.728 | + | 21.9193i | 0.842091 | + | 0.0355832i | ||||
\(617\) | 232.825 | + | 232.825i | 0.377350 | + | 0.377350i | 0.870145 | − | 0.492795i | \(-0.164025\pi\) |
−0.492795 | + | 0.870145i | \(0.664025\pi\) | |||||||
\(618\) | 121.761 | − | 204.203i | 0.197025 | − | 0.330426i | ||||
\(619\) | 265.628 | − | 110.027i | 0.429125 | − | 0.177749i | −0.157658 | − | 0.987494i | \(-0.550394\pi\) |
0.586783 | + | 0.809745i | \(0.300394\pi\) | |||||||
\(620\) | −253.895 | + | 26.1788i | −0.409508 | + | 0.0422239i | ||||
\(621\) | 58.9056 | + | 24.3995i | 0.0948560 | + | 0.0392906i | ||||
\(622\) | −498.110 | − | 72.7245i | −0.800820 | − | 0.116920i | ||||
\(623\) | −74.1840 | −0.119076 | ||||||||
\(624\) | 9.17399 | + | 44.0139i | 0.0147019 | + | 0.0705351i | ||||
\(625\) | − | 148.435i | − | 0.237496i | ||||||
\(626\) | −959.493 | − | 140.087i | −1.53274 | − | 0.223781i | ||||
\(627\) | 18.7318 | − | 45.2225i | 0.0298752 | − | 0.0721252i | ||||
\(628\) | −273.116 | − | 222.059i | −0.434898 | − | 0.353597i | ||||
\(629\) | 247.405 | + | 597.288i | 0.393330 | + | 0.949583i | ||||
\(630\) | 44.7645 | − | 75.0736i | 0.0710547 | − | 0.119164i | ||||
\(631\) | 728.483 | − | 728.483i | 1.15449 | − | 1.15449i | 0.168847 | − | 0.985642i | \(-0.445996\pi\) |
0.985642 | − | 0.168847i | \(-0.0540044\pi\) | |||||||
\(632\) | −561.516 | + | 205.267i | −0.888474 | + | 0.324790i | ||||
\(633\) | 27.3577 | − | 27.3577i | 0.0432192 | − | 0.0432192i | ||||
\(634\) | −204.190 | + | 51.6433i | −0.322067 | + | 0.0814563i | ||||
\(635\) | 194.317 | + | 469.122i | 0.306011 | + | 0.738775i | ||||
\(636\) | 13.2323 | + | 3.94801i | 0.0208055 | + | 0.00620756i | ||||
\(637\) | −11.6241 | + | 28.0630i | −0.0182482 | + | 0.0440550i | ||||
\(638\) | 668.090 | − | 497.860i | 1.04716 | − | 0.780345i | ||||
\(639\) | − | 389.118i | − | 0.608949i | ||||||
\(640\) | −334.374 | + | 55.0805i | −0.522459 | + | 0.0860633i | ||||
\(641\) | −253.220 | −0.395038 | −0.197519 | − | 0.980299i | \(-0.563288\pi\) | ||||
−0.197519 | + | 0.980299i | \(0.563288\pi\) | |||||||
\(642\) | 256.884 | + | 344.718i | 0.400130 | + | 0.536944i | ||||
\(643\) | 309.728 | + | 128.294i | 0.481693 | + | 0.199524i | 0.610297 | − | 0.792172i | \(-0.291050\pi\) |
−0.128605 | + | 0.991696i | \(0.541050\pi\) | |||||||
\(644\) | −77.2149 | + | 258.796i | −0.119899 | + | 0.401857i | ||||
\(645\) | 298.632 | − | 123.697i | 0.462995 | − | 0.191779i | ||||
\(646\) | 12.3971 | + | 49.0165i | 0.0191906 | + | 0.0758769i | ||||
\(647\) | −59.9717 | − | 59.9717i | −0.0926920 | − | 0.0926920i | 0.659240 | − | 0.751932i | \(-0.270878\pi\) |
−0.751932 | + | 0.659240i | \(0.770878\pi\) | |||||||
\(648\) | 24.7203 | + | 67.6233i | 0.0381486 | + | 0.104357i | ||||
\(649\) | −419.060 | − | 419.060i | −0.645701 | − | 0.645701i | ||||
\(650\) | −50.1379 | − | 29.8959i | −0.0771352 | − | 0.0459938i | ||||
\(651\) | −212.220 | + | 87.9045i | −0.325991 | + | 0.135030i | ||||
\(652\) | 238.013 | − | 292.738i | 0.365050 | − | 0.448985i | ||||
\(653\) | −427.960 | − | 177.267i | −0.655375 | − | 0.271465i | 0.0301159 | − | 0.999546i | \(-0.490412\pi\) |
−0.685491 | + | 0.728081i | \(0.740412\pi\) | |||||||
\(654\) | 21.4134 | − | 146.667i | 0.0327423 | − | 0.224261i | ||||
\(655\) | 274.500 | 0.419084 | ||||||||
\(656\) | 244.296 | + | 1172.06i | 0.372403 | + | 1.78667i | ||||
\(657\) | − | 287.119i | − | 0.437016i | ||||||
\(658\) | −71.6627 | + | 490.837i | −0.108910 | + | 0.745953i | ||||
\(659\) | −252.986 | + | 610.763i | −0.383894 | + | 0.926802i | 0.607311 | + | 0.794465i | \(0.292248\pi\) |
−0.991205 | + | 0.132338i | \(0.957752\pi\) | |||||||
\(660\) | 22.1890 | + | 215.199i | 0.0336197 | + | 0.326060i | ||||
\(661\) | 63.1091 | + | 152.359i | 0.0954753 | + | 0.230498i | 0.964401 | − | 0.264445i | \(-0.0851889\pi\) |
−0.868925 | + | 0.494943i | \(0.835189\pi\) | |||||||
\(662\) | −1032.10 | − | 615.414i | −1.55906 | − | 0.929629i | ||||
\(663\) | −20.9637 | + | 20.9637i | −0.0316194 | + | 0.0316194i | ||||
\(664\) | −29.8751 | + | 707.007i | −0.0449927 | + | 1.06477i | ||||
\(665\) | 24.6817 | − | 24.6817i | 0.0371154 | − | 0.0371154i | ||||
\(666\) | 90.1479 | + | 356.432i | 0.135357 | + | 0.535183i | ||||
\(667\) | 165.857 | + | 400.414i | 0.248661 | + | 0.600320i | ||||
\(668\) | −486.015 | + | 262.644i | −0.727567 | + | 0.393179i | ||||
\(669\) | −58.4518 | + | 141.115i | −0.0873718 | + | 0.210934i | ||||
\(670\) | −361.020 | − | 484.462i | −0.538836 | − | 0.723077i | ||||
\(671\) | 385.557i | 0.574600i | ||||||||
\(672\) | −274.188 | + | 133.536i | −0.408018 | + | 0.198715i | ||||
\(673\) | −243.863 | −0.362352 | −0.181176 | − | 0.983451i | \(-0.557990\pi\) | ||||
−0.181176 | + | 0.983451i | \(0.557990\pi\) | |||||||
\(674\) | 981.007 | − | 731.046i | 1.45550 | − | 1.08464i | ||||
\(675\) | −86.3667 | − | 35.7743i | −0.127951 | − | 0.0529989i | ||||
\(676\) | 585.454 | − | 316.381i | 0.866056 | − | 0.468019i | ||||
\(677\) | 160.394 | − | 66.4373i | 0.236918 | − | 0.0981348i | −0.261066 | − | 0.965321i | \(-0.584074\pi\) |
0.497984 | + | 0.867186i | \(0.334074\pi\) | |||||||
\(678\) | −261.082 | + | 66.0321i | −0.385077 | + | 0.0973925i | ||||
\(679\) | 359.548 | + | 359.548i | 0.529525 | + | 0.529525i | ||||
\(680\) | −151.200 | − | 164.542i | −0.222353 | − | 0.241973i | ||||
\(681\) | 263.588 | + | 263.588i | 0.387060 | + | 0.387060i | ||||
\(682\) | 291.175 | − | 488.324i | 0.426943 | − | 0.716018i | ||||
\(683\) | 59.5121 | − | 24.6507i | 0.0871334 | − | 0.0360918i | −0.338691 | − | 0.940898i | \(-0.609984\pi\) |
0.425824 | + | 0.904806i | \(0.359984\pi\) | |||||||
\(684\) | 2.94903 | + | 28.6011i | 0.00431145 | + | 0.0418145i | ||||
\(685\) | 193.665 | + | 80.2187i | 0.282723 | + | 0.117108i | ||||
\(686\) | −737.467 | − | 107.671i | −1.07502 | − | 0.156955i | ||||
\(687\) | −567.317 | −0.825789 | ||||||||
\(688\) | −1108.13 | − | 209.907i | −1.61065 | − | 0.305097i | ||||
\(689\) | 3.23352i | 0.00469307i | ||||||||
\(690\) | −111.354 | − | 16.2578i | −0.161383 | − | 0.0235620i | ||||
\(691\) | 336.111 | − | 811.444i | 0.486412 | − | 1.17430i | −0.470100 | − | 0.882613i | \(-0.655782\pi\) |
0.956513 | − | 0.291691i | \(-0.0942177\pi\) | |||||||
\(692\) | −652.372 | + | 802.369i | −0.942734 | + | 1.15949i | ||||
\(693\) | 74.5072 | + | 179.876i | 0.107514 | + | 0.259562i | ||||
\(694\) | 326.783 | − | 548.041i | 0.470869 | − | 0.789684i | ||||
\(695\) | 32.5558 | − | 32.5558i | 0.0468428 | − | 0.0468428i | ||||
\(696\) | −206.217 | + | 443.858i | −0.296289 | + | 0.637727i | ||||
\(697\) | −558.247 | + | 558.247i | −0.800928 | + | 0.800928i | ||||
\(698\) | −1323.26 | + | 334.676i | −1.89579 | + | 0.479478i | ||||
\(699\) | −59.3808 | − | 143.358i | −0.0849510 | − | 0.205090i | ||||
\(700\) | 113.212 | − | 379.444i | 0.161731 | − | 0.542063i | ||||
\(701\) | −472.080 | + | 1139.70i | −0.673438 | + | 1.62582i | 0.102290 | + | 0.994755i | \(0.467383\pi\) |
−0.775728 | + | 0.631068i | \(0.782617\pi\) | |||||||
\(702\) | −13.5190 | + | 10.0744i | −0.0192579 | + | 0.0143510i | ||||
\(703\) | 146.821i | 0.208849i | ||||||||
\(704\) | 346.672 | − | 670.536i | 0.492431 | − | 0.952465i | ||||
\(705\) | −206.694 | −0.293183 | ||||||||
\(706\) | −158.159 | − | 212.237i | −0.224021 | − | 0.300619i | ||||
\(707\) | 831.522 | + | 344.428i | 1.17613 | + | 0.487168i | ||||
\(708\) | 333.590 | + | 99.5305i | 0.471172 | + | 0.140580i | ||||
\(709\) | 210.722 | − | 87.2841i | 0.297211 | − | 0.123109i | −0.229095 | − | 0.973404i | \(-0.573577\pi\) |
0.526306 | + | 0.850295i | \(0.323577\pi\) | |||||||
\(710\) | 168.400 | + | 665.828i | 0.237182 | + | 0.937786i | ||||
\(711\) | −158.531 | − | 158.531i | −0.222969 | − | 0.222969i | ||||
\(712\) | −45.4447 | + | 97.8145i | −0.0638269 | + | 0.137380i | ||||
\(713\) | 209.121 | + | 209.121i | 0.293298 | + | 0.293298i | ||||
\(714\) | −172.730 | − | 102.995i | −0.241919 | − | 0.144250i | ||||
\(715\) | −46.8033 | + | 19.3865i | −0.0654591 | + | 0.0271140i | ||||
\(716\) | −423.693 | − | 344.487i | −0.591750 | − | 0.481127i | ||||
\(717\) | 208.407 | + | 86.3252i | 0.290666 | + | 0.120398i | ||||
\(718\) | −99.7936 | + | 683.514i | −0.138988 | + | 0.951969i | ||||
\(719\) | −9.71810 | −0.0135161 | −0.00675807 | − | 0.999977i | \(-0.502151\pi\) | ||||
−0.00675807 | + | 0.999977i | \(0.502151\pi\) | |||||||
\(720\) | −71.5649 | − | 105.013i | −0.0993957 | − | 0.145852i | ||||
\(721\) | 377.647i | 0.523782i | ||||||||
\(722\) | 102.648 | − | 703.064i | 0.142172 | − | 0.973773i | ||||
\(723\) | −204.115 | + | 492.777i | −0.282316 | + | 0.681572i | ||||
\(724\) | 1169.59 | − | 120.595i | 1.61546 | − | 0.166568i | ||||
\(725\) | −243.177 | − | 587.082i | −0.335417 | − | 0.809768i | ||||
\(726\) | −53.8863 | − | 32.1310i | −0.0742236 | − | 0.0442576i | ||||
\(727\) | 300.549 | − | 300.549i | 0.413410 | − | 0.413410i | −0.469514 | − | 0.882925i | \(-0.655571\pi\) |
0.882925 | + | 0.469514i | \(0.155571\pi\) | |||||||
\(728\) | −48.3212 | − | 52.5850i | −0.0663752 | − | 0.0722322i | ||||
\(729\) | −19.0919 | + | 19.0919i | −0.0261891 | + | 0.0261891i | ||||
\(730\) | 124.257 | + | 491.296i | 0.170215 | + | 0.673008i | ||||
\(731\) | −284.605 | − | 687.097i | −0.389336 | − | 0.939941i | ||||
\(732\) | −107.673 | − | 199.247i | −0.147095 | − | 0.272195i | ||||
\(733\) | 242.627 | − | 585.754i | 0.331006 | − | 0.799119i | −0.667507 | − | 0.744604i | \(-0.732639\pi\) |
0.998513 | − | 0.0545157i | \(-0.0173615\pi\) | |||||||
\(734\) | 535.395 | + | 718.458i | 0.729420 | + | 0.978826i | ||||
\(735\) | − | 85.8563i | − | 0.116811i | ||||||
\(736\) | 293.931 | + | 260.348i | 0.399363 | + | 0.353733i | ||||
\(737\) | 1345.81 | 1.82607 | ||||||||
\(738\) | −360.001 | + | 268.273i | −0.487807 | + | 0.363513i | ||||
\(739\) | 13.6426 | + | 5.65097i | 0.0184610 | + | 0.00764678i | 0.391895 | − | 0.920010i | \(-0.371820\pi\) |
−0.373434 | + | 0.927657i | \(0.621820\pi\) | |||||||
\(740\) | −308.508 | − | 570.885i | −0.416902 | − | 0.771466i | ||||
\(741\) | −6.22039 | + | 2.57657i | −0.00839459 | + | 0.00347715i | ||||
\(742\) | −21.2645 | + | 5.37816i | −0.0286583 | + | 0.00724819i | ||||
\(743\) | 819.079 | + | 819.079i | 1.10239 | + | 1.10239i | 0.994121 | + | 0.108273i | \(0.0345320\pi\) |
0.108273 | + | 0.994121i | \(0.465468\pi\) | |||||||
\(744\) | −14.0995 | + | 333.670i | −0.0189509 | + | 0.448481i | ||||
\(745\) | 1.15529 | + | 1.15529i | 0.00155072 | + | 0.00155072i | ||||
\(746\) | 510.533 | − | 856.205i | 0.684361 | − | 1.14773i | ||||
\(747\) | −245.165 | + | 101.550i | −0.328199 | + | 0.135944i | ||||
\(748\) | 495.134 | − | 51.0528i | 0.661944 | − | 0.0682524i | ||||
\(749\) | −630.892 | − | 261.324i | −0.842313 | − | 0.348897i | ||||
\(750\) | 390.141 | + | 56.9609i | 0.520188 | + | 0.0759479i | ||||
\(751\) | 1444.77 | 1.92380 | 0.961900 | − | 0.273400i | \(-0.0881482\pi\) | ||||
0.961900 | + | 0.273400i | \(0.0881482\pi\) | |||||||
\(752\) | 603.288 | + | 395.174i | 0.802244 | + | 0.525498i | ||||
\(753\) | − | 368.807i | − | 0.489783i | ||||||
\(754\) | −113.404 | − | 16.5571i | −0.150403 | − | 0.0219590i | ||||
\(755\) | 224.355 | − | 541.642i | 0.297159 | − | 0.717406i | ||||
\(756\) | −88.7371 | − | 72.1484i | −0.117377 | − | 0.0954344i | ||||
\(757\) | 89.2346 | + | 215.431i | 0.117879 | + | 0.284586i | 0.971796 | − | 0.235825i | \(-0.0757791\pi\) |
−0.853916 | + | 0.520410i | \(0.825779\pi\) | |||||||
\(758\) | 283.226 | − | 474.993i | 0.373649 | − | 0.626640i | ||||
\(759\) | 177.250 | − | 177.250i | 0.233531 | − | 0.233531i | ||||
\(760\) | −17.4239 | − | 47.6637i | −0.0229262 | − | 0.0627154i | ||||
\(761\) | 141.461 | − | 141.461i | 0.185888 | − | 0.185888i | −0.608028 | − | 0.793916i | \(-0.708039\pi\) |
0.793916 | + | 0.608028i | \(0.208039\pi\) | |||||||
\(762\) | 644.111 | − | 162.907i | 0.845291 | − | 0.213789i | ||||
\(763\) | 90.0983 | + | 217.517i | 0.118084 | + | 0.285081i | ||||
\(764\) | 460.468 | + | 137.386i | 0.602706 | + | 0.179825i | ||||
\(765\) | 32.0683 | − | 77.4196i | 0.0419193 | − | 0.101202i | ||||
\(766\) | 41.8387 | − | 31.1782i | 0.0546197 | − | 0.0407026i | ||||
\(767\) | 81.5181i | 0.106282i | ||||||||
\(768\) | 8.10704 | + | 443.331i | 0.0105560 | + | 0.577254i | ||||
\(769\) | −380.236 | −0.494455 | −0.247227 | − | 0.968958i | \(-0.579519\pi\) | ||||
−0.247227 | + | 0.968958i | \(0.579519\pi\) | |||||||
\(770\) | −205.336 | − | 275.545i | −0.266670 | − | 0.357851i | ||||
\(771\) | −524.975 | − | 217.452i | −0.680902 | − | 0.282039i | ||||
\(772\) | −115.662 | + | 387.655i | −0.149821 | + | 0.502144i | ||||
\(773\) | 419.067 | − | 173.583i | 0.542131 | − | 0.224558i | −0.0947763 | − | 0.995499i | \(-0.530214\pi\) |
0.636907 | + | 0.770941i | \(0.280214\pi\) | |||||||
\(774\) | −103.703 | − | 410.026i | −0.133983 | − | 0.529749i | ||||
\(775\) | −306.611 | − | 306.611i | −0.395628 | − | 0.395628i | ||||
\(776\) | 694.335 | − | 253.821i | 0.894761 | − | 0.327088i | ||||
\(777\) | −412.945 | − | 412.945i | −0.531460 | − | 0.531460i | ||||
\(778\) | 548.933 | + | 327.315i | 0.705569 | + | 0.420713i | ||||
\(779\) | −165.644 | + | 68.6121i | −0.212637 | + | 0.0880771i | ||||
\(780\) | 18.7728 | − | 23.0891i | 0.0240677 | − | 0.0296014i | ||||
\(781\) | −1413.37 | − | 585.438i | −1.80970 | − | 0.749600i | ||||
\(782\) | −37.4062 | + | 256.205i | −0.0478340 | + | 0.327628i | ||||
\(783\) | −183.534 | −0.234398 | ||||||||
\(784\) | −164.147 | + | 250.593i | −0.209371 | + | 0.319634i | ||||
\(785\) | 232.978i | 0.296788i | ||||||||
\(786\) | 51.8886 | − | 355.399i | 0.0660160 | − | 0.452162i | ||||
\(787\) | 126.625 | − | 305.700i | 0.160896 | − | 0.388436i | −0.822787 | − | 0.568350i | \(-0.807582\pi\) |
0.983682 | + | 0.179914i | \(0.0575819\pi\) | |||||||
\(788\) | 58.4786 | + | 567.153i | 0.0742114 | + | 0.719738i | ||||
\(789\) | 168.721 | + | 407.328i | 0.213841 | + | 0.516258i | ||||
\(790\) | 339.874 | + | 202.658i | 0.430220 | + | 0.256529i | ||||
\(791\) | 302.477 | − | 302.477i | 0.382398 | − | 0.382398i | ||||
\(792\) | 282.816 | + | 11.9506i | 0.357092 | + | 0.0150892i | ||||
\(793\) | 37.5004 | − | 37.5004i | 0.0472893 | − | 0.0472893i | ||||
\(794\) | −189.000 | − | 747.280i | −0.238035 | − | 0.941159i | ||||
\(795\) | −3.49759 | − | 8.44393i | −0.00439948 | − | 0.0106213i | ||||
\(796\) | 233.030 | − | 125.930i | 0.292752 | − | 0.158204i | ||||
\(797\) | 438.827 | − | 1059.42i | 0.550598 | − | 1.32926i | −0.366433 | − | 0.930445i | \(-0.619421\pi\) |
0.917031 | − | 0.398817i | \(-0.130579\pi\) | |||||||
\(798\) | −27.2902 | − | 36.6214i | −0.0341983 | − | 0.0458915i | ||||
\(799\) | 475.565i | 0.595200i | ||||||||
\(800\) | −430.959 | − | 381.719i | −0.538698 | − | 0.477149i | ||||
\(801\) | −40.4460 | −0.0504944 | ||||||||
\(802\) | −507.441 | + | 378.145i | −0.632719 | + | 0.471502i | ||||
\(803\) | −1042.89 | − | 431.978i | −1.29874 | − | 0.537955i | ||||
\(804\) | −695.484 | + | 375.841i | −0.865029 | + | 0.467464i | ||||
\(805\) | 165.146 | − | 68.4056i | 0.205150 | − | 0.0849758i | ||||
\(806\) | −75.8165 | + | 19.1753i | −0.0940652 | + | 0.0237907i | ||||
\(807\) | −295.470 | − | 295.470i | −0.366134 | − | 0.366134i | ||||
\(808\) | 963.527 | − | 885.400i | 1.19248 | − | 1.09579i | ||||
\(809\) | 626.958 | + | 626.958i | 0.774979 | + | 0.774979i | 0.978972 | − | 0.203993i | \(-0.0653921\pi\) |
−0.203993 | + | 0.978972i | \(0.565392\pi\) | |||||||
\(810\) | 24.4061 | − | 40.9310i | 0.0301310 | − | 0.0505320i | ||||
\(811\) | −336.058 | + | 139.200i | −0.414375 | + | 0.171640i | −0.580124 | − | 0.814528i | \(-0.696996\pi\) |
0.165749 | + | 0.986168i | \(0.446996\pi\) | |||||||
\(812\) | −79.7353 | − | 773.311i | −0.0981962 | − | 0.952354i | ||||
\(813\) | 414.475 | + | 171.681i | 0.509809 | + | 0.211170i | ||||
\(814\) | 1430.28 | + | 208.822i | 1.75710 | + | 0.256538i | ||||
\(815\) | −249.717 | −0.306401 | ||||||||
\(816\) | −241.616 | + | 164.658i | −0.296098 | + | 0.201786i | ||||
\(817\) | − | 168.897i | − | 0.206728i | ||||||
\(818\) | −296.353 | − | 43.2678i | −0.362290 | − | 0.0528946i | ||||
\(819\) | 10.2485 | − | 24.7421i | 0.0125135 | − | 0.0302102i | ||||
\(820\) | 499.905 | − | 614.846i | 0.609640 | − | 0.749812i | ||||
\(821\) | −501.999 | − | 1211.93i | −0.611448 | − | 1.47617i | −0.861410 | − | 0.507910i | \(-0.830418\pi\) |
0.249963 | − | 0.968256i | \(-0.419582\pi\) | |||||||
\(822\) | 140.469 | − | 235.578i | 0.170887 | − | 0.286591i | ||||
\(823\) | 76.4524 | − | 76.4524i | 0.0928948 | − | 0.0928948i | −0.659132 | − | 0.752027i | \(-0.729076\pi\) |
0.752027 | + | 0.659132i | \(0.229076\pi\) | |||||||
\(824\) | 497.942 | + | 231.344i | 0.604298 | + | 0.280758i | ||||
\(825\) | −259.882 | + | 259.882i | −0.315008 | + | 0.315008i | ||||
\(826\) | −536.084 | + | 135.585i | −0.649012 | + | 0.164146i | ||||
\(827\) | −539.074 | − | 1301.44i | −0.651843 | − | 1.57369i | −0.810101 | − | 0.586290i | \(-0.800588\pi\) |
0.158259 | − | 0.987398i | \(-0.449412\pi\) | |||||||
\(828\) | −42.0984 | + | 141.099i | −0.0508435 | + | 0.170409i | ||||
\(829\) | −531.797 | + | 1283.87i | −0.641492 | + | 1.54870i | 0.183175 | + | 0.983080i | \(0.441363\pi\) |
−0.824667 | + | 0.565619i | \(0.808637\pi\) | |||||||
\(830\) | 375.558 | − | 279.866i | 0.452480 | − | 0.337187i | ||||
\(831\) | − | 215.453i | − | 0.259269i | ||||||
\(832\) | −98.9367 | + | 31.5000i | −0.118914 | + | 0.0378606i | ||||
\(833\) | −197.539 | −0.237142 | ||||||||
\(834\) | −35.9964 | − | 48.3045i | −0.0431612 | − | 0.0579190i | ||||
\(835\) | 337.814 | + | 139.927i | 0.404568 | + | 0.167578i | ||||
\(836\) | 108.323 | + | 32.3195i | 0.129573 | + | 0.0386596i | ||||
\(837\) | −115.705 | + | 47.9265i | −0.138238 | + | 0.0572599i | ||||
\(838\) | 121.109 | + | 478.850i | 0.144522 | + | 0.571420i | ||||
\(839\) | −247.226 | − | 247.226i | −0.294667 | − | 0.294667i | 0.544253 | − | 0.838921i | \(-0.316813\pi\) |
−0.838921 | + | 0.544253i | \(0.816813\pi\) | |||||||
\(840\) | 183.064 | + | 85.0516i | 0.217933 | + | 0.101252i | ||||
\(841\) | −287.496 | − | 287.496i | −0.341850 | − | 0.341850i | ||||
\(842\) | 511.034 | + | 304.716i | 0.606928 | + | 0.361896i | ||||
\(843\) | −622.830 | + | 257.985i | −0.738825 | + | 0.306031i | ||||
\(844\) | 69.3269 | + | 56.3667i | 0.0821408 | + | 0.0667852i | ||||
\(845\) | −406.931 | − | 168.557i | −0.481576 | − | 0.199475i | ||||
\(846\) | −39.0713 | + | 267.610i | −0.0461836 | + | 0.316324i | ||||
\(847\) | 99.6554 | 0.117657 | ||||||||
\(848\) | −5.93520 | + | 31.3327i | −0.00699906 | + | 0.0369489i | ||||
\(849\) | 400.284i | 0.471477i | ||||||||
\(850\) | 54.8445 | − | 375.645i | 0.0645229 | − | 0.441935i | ||||
\(851\) | −287.732 | + | 694.647i | −0.338111 | + | 0.816272i | ||||
\(852\) | 893.891 | − | 92.1682i | 1.04917 | − | 0.108179i | ||||
\(853\) | −589.484 | − | 1423.14i | −0.691072 | − | 1.66839i | −0.742610 | − | 0.669724i | \(-0.766413\pi\) |
0.0515387 | − | 0.998671i | \(-0.483587\pi\) | |||||||
\(854\) | 308.985 | + | 184.240i | 0.361809 | + | 0.215738i | ||||
\(855\) | 13.4568 | − | 13.4568i | 0.0157389 | − | 0.0157389i | ||||
\(856\) | −731.047 | + | 671.770i | −0.854027 | + | 0.784778i | ||||
\(857\) | −379.015 | + | 379.015i | −0.442258 | + | 0.442258i | −0.892770 | − | 0.450512i | \(-0.851241\pi\) |
0.450512 | + | 0.892770i | \(0.351241\pi\) | |||||||
\(858\) | 16.2529 | + | 64.2615i | 0.0189427 | + | 0.0748969i | ||||
\(859\) | −277.726 | − | 670.491i | −0.323314 | − | 0.780548i | −0.999057 | − | 0.0434113i | \(-0.986177\pi\) |
0.675744 | − | 0.737137i | \(-0.263823\pi\) | |||||||
\(860\) | 354.895 | + | 656.724i | 0.412669 | + | 0.763633i | ||||
\(861\) | 272.910 | − | 658.863i | 0.316969 | − | 0.765230i | ||||
\(862\) | 105.731 | + | 141.883i | 0.122658 | + | 0.164597i | ||||
\(863\) | 885.356i | 1.02591i | 0.858417 | + | 0.512953i | \(0.171448\pi\) | ||||
−0.858417 | + | 0.512953i | \(0.828552\pi\) | |||||||
\(864\) | −149.490 | + | 72.8056i | −0.173021 | + | 0.0842657i | ||||
\(865\) | 684.452 | 0.791274 | ||||||||
\(866\) | −1014.20 | + | 755.778i | −1.17113 | + | 0.872723i | ||||
\(867\) | 284.331 | + | 117.774i | 0.327948 | + | 0.135841i | ||||
\(868\) | −252.203 | − | 466.695i | −0.290557 | − | 0.537667i | ||||
\(869\) | −814.338 | + | 337.310i | −0.937097 | + | 0.388158i | ||||
\(870\) | 314.049 | − | 79.4283i | 0.360975 | − | 0.0912969i | ||||
\(871\) | −130.898 | − | 130.898i | −0.150284 | − | 0.150284i | ||||
\(872\) | 341.998 | + | 14.4514i | 0.392199 | + | 0.0165727i | ||||
\(873\) | 196.030 | + | 196.030i | 0.224547 | + | 0.224547i | ||||
\(874\) | −30.1146 | + | 50.5045i | −0.0344560 | + | 0.0577855i | ||||
\(875\) | −578.606 | + | 239.666i | −0.661264 | + | 0.273904i | ||||
\(876\) | 659.577 | − | 68.0083i | 0.752941 | − | 0.0776350i | ||||
\(877\) | 451.165 | + | 186.879i | 0.514441 | + | 0.213089i | 0.624773 | − | 0.780806i | \(-0.285191\pi\) |
−0.110332 | + | 0.993895i | \(0.535191\pi\) | |||||||
\(878\) | 963.034 | + | 140.604i | 1.09685 | + | 0.160141i | ||||
\(879\) | 380.750 | 0.433162 | ||||||||
\(880\) | −489.105 | + | 101.946i | −0.555801 | + | 0.115848i | ||||
\(881\) | 845.720i | 0.959955i | 0.877281 | + | 0.479978i | \(0.159355\pi\) | ||||
−0.877281 | + | 0.479978i | \(0.840645\pi\) | |||||||
\(882\) | −111.159 | − | 16.2294i | −0.126031 | − | 0.0184007i | ||||
\(883\) | −615.155 | + | 1485.12i | −0.696665 | + | 1.68190i | 0.0342344 | + | 0.999414i | \(0.489101\pi\) |
−0.730900 | + | 0.682485i | \(0.760899\pi\) | |||||||
\(884\) | −53.1238 | − | 43.1927i | −0.0600948 | − | 0.0488605i | ||||
\(885\) | −88.1752 | − | 212.874i | −0.0996330 | − | 0.240535i | ||||
\(886\) | 45.0625 | − | 75.5733i | 0.0508606 | − | 0.0852972i | ||||
\(887\) | 889.029 | − | 889.029i | 1.00229 | − | 1.00229i | 0.00229019 | − | 0.999997i | \(-0.499271\pi\) |
0.999997 | − | 0.00229019i | \(-0.000728990\pi\) | |||||||
\(888\) | −797.451 | + | 291.516i | −0.898030 | + | 0.328283i | ||||
\(889\) | −746.236 | + | 746.236i | −0.839410 | + | 0.839410i | ||||
\(890\) | 69.2080 | − | 17.5039i | 0.0777617 | − | 0.0196673i | ||||
\(891\) | 40.6222 | + | 98.0706i | 0.0455917 | + | 0.110068i | ||||
\(892\) | −338.018 | − | 100.852i | −0.378944 | − | 0.113062i | ||||
\(893\) | −41.3303 | + | 99.7802i | −0.0462826 | + | 0.111736i | ||||
\(894\) | 1.71416 | − | 1.27739i | 0.00191740 | − | 0.00142885i | ||||
\(895\) | 361.427i | 0.403829i | ||||||||
\(896\) | −371.708 | − | 598.240i | −0.414853 | − | 0.667679i | ||||
\(897\) | −34.4797 | −0.0384389 | ||||||||
\(898\) | 851.720 | + | 1142.94i | 0.948464 | + | 1.27276i | ||||
\(899\) | −786.509 | − | 325.783i | −0.874871 | − | 0.362383i | ||||
\(900\) | 61.7242 | − | 206.877i | 0.0685825 | − | 0.229863i | ||||
\(901\) | −19.4279 | + | 8.04731i | −0.0215626 | + | 0.00893153i | ||||
\(902\) | 432.801 | + | 1711.24i | 0.479824 | + | 1.89716i | ||||
\(903\) | 475.035 | + | 475.035i | 0.526064 | + | 0.526064i | ||||
\(904\) | −213.531 | − | 584.122i | −0.236207 | − | 0.646153i | ||||
\(905\) | −550.290 | − | 550.290i | −0.608055 | − | 0.608055i | ||||
\(906\) | −658.862 | − | 392.863i | −0.727221 | − | 0.433623i | ||||
\(907\) | −221.733 | + | 91.8447i | −0.244468 | + | 0.101262i | −0.501553 | − | 0.865127i | \(-0.667238\pi\) |
0.257085 | + | 0.966389i | \(0.417238\pi\) | |||||||
\(908\) | −543.086 | + | 667.955i | −0.598112 | + | 0.735633i | ||||
\(909\) | 453.355 | + | 187.786i | 0.498741 | + | 0.206585i | ||||
\(910\) | −6.82876 | + | 46.7720i | −0.00750413 | + | 0.0513978i | ||||
\(911\) | −434.295 | −0.476723 | −0.238361 | − | 0.971177i | \(-0.576610\pi\) | ||||
−0.238361 | + | 0.971177i | \(0.576610\pi\) | |||||||
\(912\) | −65.0046 | + | 13.5492i | −0.0712769 | + | 0.0148565i | ||||
\(913\) | 1043.28i | 1.14270i | ||||||||
\(914\) | −87.9784 | + | 602.588i | −0.0962565 | + | 0.659287i | ||||
\(915\) | −57.3646 | + | 138.490i | −0.0626935 | + | 0.151356i | ||||
\(916\) | −134.377 | − | 1303.25i | −0.146700 | − | 1.42276i | ||||
\(917\) | 218.324 | + | 527.081i | 0.238085 | + | 0.574789i | ||||
\(918\) | −94.1746 | − | 56.1539i | −0.102587 | − | 0.0611698i | ||||
\(919\) | 287.621 | − | 287.621i | 0.312971 | − | 0.312971i | −0.533088 | − | 0.846060i | \(-0.678969\pi\) |
0.846060 | + | 0.533088i | \(0.178969\pi\) | |||||||
\(920\) | 10.9720 | − | 259.656i | 0.0119260 | − | 0.282234i | ||||
\(921\) | 116.357 | − | 116.357i | 0.126338 | − | 0.126338i | ||||
\(922\) | 253.022 | + | 1000.42i | 0.274428 | + | 1.08505i | ||||
\(923\) | 80.5274 | + | 194.410i | 0.0872453 | + | 0.210629i | ||||
\(924\) | −395.568 | + | 213.766i | −0.428104 | + | 0.231348i | ||||
\(925\) | 421.870 | − | 1018.48i | 0.456075 | − | 1.10106i | ||||
\(926\) | 441.085 | + | 591.903i | 0.476334 | + | 0.639204i | ||||
\(927\) | 205.897i | 0.222111i | ||||||||
\(928\) | −1068.49 | − | 368.592i | −1.15139 | − | 0.397190i | ||||
\(929\) | 1213.34 | 1.30608 | 0.653038 | − | 0.757325i | \(-0.273494\pi\) | ||||
0.653038 | + | 0.757325i | \(0.273494\pi\) | |||||||
\(930\) | 177.244 | − | 132.082i | 0.190585 | − | 0.142024i | ||||
\(931\) | −41.4466 | − | 17.1677i | −0.0445183 | − | 0.0184401i | ||||
\(932\) | 315.260 | − | 170.367i | 0.338261 | − | 0.182797i | ||||
\(933\) | 402.764 | − | 166.831i | 0.431688 | − | 0.178811i | ||||
\(934\) | −1351.81 | + | 341.896i | −1.44733 | + | 0.366055i | ||||
\(935\) | −232.959 | − | 232.959i | −0.249155 | − | 0.249155i | ||||
\(936\) | −26.3452 | − | 28.6699i | −0.0281466 | − | 0.0306303i | ||||
\(937\) | −806.355 | − | 806.355i | −0.860571 | − | 0.860571i | 0.130833 | − | 0.991404i | \(-0.458235\pi\) |
−0.991404 | + | 0.130833i | \(0.958235\pi\) | |||||||
\(938\) | 643.101 | − | 1078.53i | 0.685609 | − | 1.14982i | ||||
\(939\) | 775.833 | − | 321.360i | 0.826233 | − | 0.342237i | ||||
\(940\) | −48.9584 | − | 474.822i | −0.0520834 | − | 0.505130i | ||||
\(941\) | 715.079 | + | 296.195i | 0.759914 | + | 0.314767i | 0.728779 | − | 0.684749i | \(-0.240088\pi\) |
0.0311346 | + | 0.999515i | \(0.490088\pi\) | |||||||
\(942\) | 301.641 | + | 44.0398i | 0.320213 | + | 0.0467514i | ||||
\(943\) | −918.168 | −0.973667 | ||||||||
\(944\) | −149.628 | + | 789.905i | −0.158504 | + | 0.836764i | ||||
\(945\) | 75.6963i | 0.0801019i | ||||||||
\(946\) | −1645.34 | − | 240.221i | −1.73926 | − | 0.253933i | ||||
\(947\) | 93.1503 | − | 224.885i | 0.0983636 | − | 0.237471i | −0.867036 | − | 0.498245i | \(-0.833978\pi\) |
0.965400 | + | 0.260775i | \(0.0839779\pi\) | |||||||
\(948\) | 326.631 | − | 401.732i | 0.344547 | − | 0.423767i | ||||
\(949\) | 59.4189 | + | 143.450i | 0.0626121 | + | 0.151159i | ||||
\(950\) | 44.1536 | − | 74.0492i | 0.0464775 | − | 0.0779465i | ||||
\(951\) | 128.978 | − | 128.978i | 0.135623 | − | 0.135623i | ||||
\(952\) | 195.688 | − | 421.196i | 0.205555 | − | 0.442433i | ||||
\(953\) | 186.819 | − | 186.819i | 0.196032 | − | 0.196032i | −0.602264 | − | 0.798297i | \(-0.705735\pi\) |
0.798297 | + | 0.602264i | \(0.205735\pi\) | |||||||
\(954\) | −11.5936 | + | 2.93223i | −0.0121527 | + | 0.00307362i | ||||
\(955\) | −121.712 | − | 293.838i | −0.127447 | − | 0.307684i | ||||
\(956\) | −148.944 | + | 499.205i | −0.155799 | + | 0.522181i | ||||
\(957\) | −276.131 | + | 666.640i | −0.288538 | + | 0.696593i | ||||
\(958\) | −606.220 | + | 451.755i | −0.632798 | + | 0.471561i | ||||
\(959\) | 435.669i | 0.454295i | ||||||||
\(960\) | 224.288 | − | 189.274i | 0.233633 | − | 0.197161i | ||||
\(961\) | 380.091 | 0.395516 | ||||||||
\(962\) | −118.803 | − | 159.424i | −0.123495 | − | 0.165721i | ||||
\(963\) | −343.969 | − | 142.477i | −0.357185 | − | 0.147951i | ||||
\(964\) | −1180.36 | − | 352.176i | −1.22444 | − | 0.365328i | ||||
\(965\) | 247.375 | − | 102.466i | 0.256347 | − | 0.106182i | ||||
\(966\) | −57.3483 | − | 226.747i | −0.0593668 | − | 0.234728i | ||||
\(967\) | 273.953 | + | 273.953i | 0.283302 | + | 0.283302i | 0.834425 | − | 0.551122i | \(-0.185800\pi\) |
−0.551122 | + | 0.834425i | \(0.685800\pi\) | |||||||
\(968\) | 61.0484 | − | 131.400i | 0.0630665 | − | 0.135743i | ||||
\(969\) | −30.9615 | − | 30.9615i | −0.0319520 | − | 0.0319520i | ||||
\(970\) | −420.266 | − | 250.594i | −0.433264 | − | 0.258344i | ||||
\(971\) | −897.858 | + | 371.905i | −0.924673 | + | 0.383012i | −0.793655 | − | 0.608368i | \(-0.791825\pi\) |
−0.131018 | + | 0.991380i | \(0.541825\pi\) | |||||||
\(972\) | −48.3805 | − | 39.3361i | −0.0497742 | − | 0.0404692i | ||||
\(973\) | 88.4053 | + | 36.6187i | 0.0908585 | + | 0.0376348i | ||||
\(974\) | −90.8997 | + | 622.597i | −0.0933261 | + | 0.639216i | ||||
\(975\) | 50.5538 | 0.0518500 | ||||||||
\(976\) | 432.210 | − | 294.544i | 0.442838 | − | 0.301787i | ||||
\(977\) | 945.557i | 0.967816i | 0.875119 | + | 0.483908i | \(0.160783\pi\) | ||||
−0.875119 | + | 0.483908i | \(0.839217\pi\) | |||||||
\(978\) | −47.2039 | + | 323.313i | −0.0482658 | + | 0.330586i | ||||
\(979\) | −60.8520 | + | 146.910i | −0.0621573 | + | 0.150061i | ||||
\(980\) | 197.231 | − | 20.3363i | 0.201256 | − | 0.0207513i | ||||
\(981\) | 49.1226 | + | 118.592i | 0.0500740 | + | 0.120889i | ||||
\(982\) | −43.6077 | − | 26.0021i | −0.0444070 | − | 0.0264788i | ||||
\(983\) | −724.186 | + | 724.186i | −0.736710 | + | 0.736710i | −0.971940 | − | 0.235230i | \(-0.924416\pi\) |
0.235230 | + | 0.971940i | \(0.424416\pi\) | |||||||
\(984\) | −701.553 | − | 763.459i | −0.712961 | − | 0.775873i | ||||
\(985\) | 266.844 | − | 266.844i | 0.270908 | − | 0.270908i | ||||
\(986\) | −182.750 | − | 722.568i | −0.185345 | − | 0.732827i | ||||
\(987\) | −164.395 | − | 396.884i | −0.166560 | − | 0.402111i | ||||
\(988\) | −7.39234 | − | 13.6793i | −0.00748213 | − | 0.0138455i | ||||
\(989\) | 330.996 | − | 799.095i | 0.334678 | − | 0.807983i | ||||
\(990\) | −111.952 | − | 150.230i | −0.113082 | − | 0.151748i | ||||
\(991\) | − | 786.054i | − | 0.793192i | −0.917993 | − | 0.396596i | \(-0.870191\pi\) | ||
0.917993 | − | 0.396596i | \(-0.129809\pi\) | |||||||
\(992\) | −769.854 | + | 46.6449i | −0.776063 | + | 0.0470211i | ||||
\(993\) | 1040.66 | 1.04800 | ||||||||
\(994\) | −1144.55 | + | 852.921i | −1.15146 | + | 0.858070i | ||||
\(995\) | −161.972 | − | 67.0912i | −0.162786 | − | 0.0674283i | ||||
\(996\) | −291.355 | − | 539.144i | −0.292525 | − | 0.541309i | ||||
\(997\) | 389.243 | − | 161.230i | 0.390414 | − | 0.161715i | −0.178837 | − | 0.983879i | \(-0.557233\pi\) |
0.569251 | + | 0.822164i | \(0.307233\pi\) | |||||||
\(998\) | 846.407 | − | 214.071i | 0.848103 | − | 0.214500i | ||||
\(999\) | −225.142 | − | 225.142i | −0.225367 | − | 0.225367i |
(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 | 96.3.m.a.19.6 | ✓ | 64 | |
3.2 | odd | 2 | 288.3.u.b.19.11 | 64 | |||
4.3 | odd | 2 | 384.3.m.a.367.6 | 64 | |||
32.5 | even | 8 | 384.3.m.a.271.6 | 64 | |||
32.27 | odd | 8 | inner | 96.3.m.a.91.6 | yes | 64 | |
96.59 | even | 8 | 288.3.u.b.91.11 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.3.m.a.19.6 | ✓ | 64 | 1.1 | even | 1 | trivial | |
96.3.m.a.91.6 | yes | 64 | 32.27 | odd | 8 | inner | |
288.3.u.b.19.11 | 64 | 3.2 | odd | 2 | |||
288.3.u.b.91.11 | 64 | 96.59 | even | 8 | |||
384.3.m.a.271.6 | 64 | 32.5 | even | 8 | |||
384.3.m.a.367.6 | 64 | 4.3 | odd | 2 |