Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [128,3,Mod(3,128)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(128, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("128.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 128 = 2^{7} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 128.l (of order \(32\), degree \(16\), 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: | \(3.48774738381\) |
Analytic rank: | \(0\) |
Dimension: | \(496\) |
Relative dimension: | \(31\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 3.12 | ||
Character | \(\chi\) | \(=\) | 128.3 |
Dual form | 128.3.l.a.43.12 |
$q$-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 \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{32}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.687532 | + | 1.87811i | −0.343766 | + | 0.939055i | ||||
\(3\) | 3.91403 | − | 3.21216i | 1.30468 | − | 1.07072i | 0.311979 | − | 0.950089i | \(-0.399008\pi\) |
0.992697 | − | 0.120632i | \(-0.0384920\pi\) | |||||||
\(4\) | −3.05460 | − | 2.58252i | −0.763650 | − | 0.645630i | ||||
\(5\) | −8.46864 | − | 2.56894i | −1.69373 | − | 0.513787i | −0.711695 | − | 0.702489i | \(-0.752072\pi\) |
−0.982034 | + | 0.188702i | \(0.939572\pi\) | |||||||
\(6\) | 3.34178 | + | 9.55944i | 0.556963 | + | 1.59324i | ||||
\(7\) | −0.593205 | − | 2.98225i | −0.0847436 | − | 0.426035i | −0.999745 | − | 0.0225842i | \(-0.992811\pi\) |
0.915001 | − | 0.403451i | \(-0.132189\pi\) | |||||||
\(8\) | 6.95040 | − | 3.96131i | 0.868800 | − | 0.495164i | ||||
\(9\) | 3.24584 | − | 16.3179i | 0.360649 | − | 1.81310i | ||||
\(10\) | 10.6472 | − | 14.1388i | 1.06472 | − | 1.41388i | ||||
\(11\) | 0.723029 | + | 7.34104i | 0.0657299 | + | 0.667367i | 0.970441 | + | 0.241340i | \(0.0775870\pi\) |
−0.904711 | + | 0.426027i | \(0.859913\pi\) | |||||||
\(12\) | −20.2513 | − | 0.296198i | −1.68761 | − | 0.0246832i | ||||
\(13\) | −5.58169 | − | 18.4004i | −0.429361 | − | 1.41541i | −0.858797 | − | 0.512316i | \(-0.828788\pi\) |
0.429436 | − | 0.903097i | \(-0.358712\pi\) | |||||||
\(14\) | 6.00883 | + | 0.936283i | 0.429202 | + | 0.0668773i | ||||
\(15\) | −41.3984 | + | 17.1478i | −2.75989 | + | 1.14318i | ||||
\(16\) | 2.66116 | + | 15.7771i | 0.166323 | + | 0.986071i | ||||
\(17\) | 0.326137 | − | 0.787364i | 0.0191845 | − | 0.0463155i | −0.913997 | − | 0.405721i | \(-0.867020\pi\) |
0.933182 | + | 0.359405i | \(0.117020\pi\) | |||||||
\(18\) | 28.4153 | + | 17.3151i | 1.57863 | + | 0.961952i | ||||
\(19\) | 3.73151 | − | 6.98117i | 0.196395 | − | 0.367430i | −0.764376 | − | 0.644770i | \(-0.776953\pi\) |
0.960772 | + | 0.277340i | \(0.0894530\pi\) | |||||||
\(20\) | 19.2340 | + | 29.7175i | 0.961700 | + | 1.48588i | ||||
\(21\) | −11.9013 | − | 9.76713i | −0.566727 | − | 0.465101i | ||||
\(22\) | −14.2844 | − | 3.68927i | −0.649290 | − | 0.167694i | ||||
\(23\) | 28.7178 | − | 19.1886i | 1.24860 | − | 0.834288i | 0.257354 | − | 0.966317i | \(-0.417149\pi\) |
0.991246 | + | 0.132029i | \(0.0421492\pi\) | |||||||
\(24\) | 14.4797 | − | 37.8305i | 0.603320 | − | 1.57627i | ||||
\(25\) | 44.3318 | + | 29.6215i | 1.77327 | + | 1.18486i | ||||
\(26\) | 38.3955 | + | 2.16780i | 1.47675 | + | 0.0833771i | ||||
\(27\) | −18.2298 | − | 34.1056i | −0.675179 | − | 1.26317i | ||||
\(28\) | −5.88971 | + | 10.6415i | −0.210347 | + | 0.380055i | ||||
\(29\) | −5.16616 | + | 52.4529i | −0.178144 | + | 1.80872i | 0.326289 | + | 0.945270i | \(0.394202\pi\) |
−0.504432 | + | 0.863451i | \(0.668298\pi\) | |||||||
\(30\) | −3.74271 | − | 89.5403i | −0.124757 | − | 2.98468i | ||||
\(31\) | 13.3385 | + | 13.3385i | 0.430274 | + | 0.430274i | 0.888722 | − | 0.458447i | \(-0.151594\pi\) |
−0.458447 | + | 0.888722i | \(0.651594\pi\) | |||||||
\(32\) | −31.4609 | − | 5.84932i | −0.983152 | − | 0.182791i | ||||
\(33\) | 26.4106 | + | 26.4106i | 0.800320 | + | 0.800320i | ||||
\(34\) | 1.25453 | + | 1.15386i | 0.0368979 | + | 0.0339370i | ||||
\(35\) | −2.63755 | + | 26.7795i | −0.0753585 | + | 0.765128i | ||||
\(36\) | −52.0561 | + | 41.4623i | −1.44600 | + | 1.15173i | ||||
\(37\) | −19.3999 | − | 36.2946i | −0.524321 | − | 0.980935i | −0.995118 | − | 0.0986937i | \(-0.968534\pi\) |
0.470797 | − | 0.882242i | \(-0.343966\pi\) | |||||||
\(38\) | 10.5459 | + | 11.8080i | 0.277523 | + | 0.310736i | ||||
\(39\) | −80.9519 | − | 54.0903i | −2.07569 | − | 1.38693i | ||||
\(40\) | −69.0368 | + | 15.6918i | −1.72592 | + | 0.392296i | ||||
\(41\) | 16.0435 | − | 10.7200i | 0.391306 | − | 0.261462i | −0.344317 | − | 0.938853i | \(-0.611890\pi\) |
0.735623 | + | 0.677391i | \(0.236890\pi\) | |||||||
\(42\) | 26.5263 | − | 15.6367i | 0.631577 | − | 0.372303i | ||||
\(43\) | −3.22073 | − | 2.64318i | −0.0749007 | − | 0.0614694i | 0.596198 | − | 0.802837i | \(-0.296677\pi\) |
−0.671099 | + | 0.741368i | \(0.734177\pi\) | |||||||
\(44\) | 16.7498 | − | 24.2912i | 0.380678 | − | 0.552072i | ||||
\(45\) | −69.4075 | + | 129.852i | −1.54239 | + | 2.88561i | ||||
\(46\) | 16.2940 | + | 67.1280i | 0.354216 | + | 1.45930i | ||||
\(47\) | 1.11778 | − | 2.69856i | 0.0237826 | − | 0.0574162i | −0.911542 | − | 0.411207i | \(-0.865107\pi\) |
0.935325 | + | 0.353791i | \(0.115107\pi\) | |||||||
\(48\) | 61.0946 | + | 53.2041i | 1.27280 | + | 1.10842i | ||||
\(49\) | 36.7282 | − | 15.2133i | 0.749555 | − | 0.310476i | ||||
\(50\) | −86.1120 | + | 62.8942i | −1.72224 | + | 1.25788i | ||||
\(51\) | −1.25263 | − | 4.12937i | −0.0245614 | − | 0.0809681i | ||||
\(52\) | −30.4695 | + | 70.6206i | −0.585952 | + | 1.35809i | ||||
\(53\) | 4.28928 | + | 43.5498i | 0.0809298 | + | 0.821694i | 0.946885 | + | 0.321573i | \(0.104211\pi\) |
−0.865955 | + | 0.500122i | \(0.833289\pi\) | |||||||
\(54\) | 76.5878 | − | 10.7890i | 1.41829 | − | 0.199795i | ||||
\(55\) | 12.7356 | − | 64.0261i | 0.231556 | − | 1.16411i | ||||
\(56\) | −15.9366 | − | 18.3779i | −0.284582 | − | 0.328177i | ||||
\(57\) | −7.81939 | − | 39.3107i | −0.137182 | − | 0.689662i | ||||
\(58\) | −94.9605 | − | 45.7657i | −1.63725 | − | 0.789063i | ||||
\(59\) | −21.3979 | − | 6.49099i | −0.362677 | − | 0.110017i | 0.103687 | − | 0.994610i | \(-0.466936\pi\) |
−0.466363 | + | 0.884593i | \(0.654436\pi\) | |||||||
\(60\) | 170.740 | + | 54.5326i | 2.84567 | + | 0.908877i | ||||
\(61\) | 50.4076 | − | 41.3684i | 0.826354 | − | 0.678171i | −0.122991 | − | 0.992408i | \(-0.539249\pi\) |
0.949345 | + | 0.314237i | \(0.101749\pi\) | |||||||
\(62\) | −34.2218 | + | 15.8805i | −0.551965 | + | 0.256138i | ||||
\(63\) | −50.5895 | −0.803008 | ||||||||
\(64\) | 32.6160 | − | 55.0654i | 0.509625 | − | 0.860396i | ||||
\(65\) | 170.165i | 2.61793i | ||||||||
\(66\) | −67.7601 | + | 31.4439i | −1.02667 | + | 0.476422i | ||||
\(67\) | −72.5273 | − | 88.3748i | −1.08250 | − | 1.31903i | −0.944470 | − | 0.328598i | \(-0.893424\pi\) |
−0.138027 | − | 0.990428i | \(-0.544076\pi\) | |||||||
\(68\) | −3.02960 | + | 1.56283i | −0.0445530 | + | 0.0229828i | ||||
\(69\) | 50.7654 | − | 167.351i | 0.735730 | − | 2.42538i | ||||
\(70\) | −48.4814 | − | 23.3654i | −0.692592 | − | 0.333791i | ||||
\(71\) | 34.6028 | − | 6.88293i | 0.487364 | − | 0.0969427i | 0.0547090 | − | 0.998502i | \(-0.482577\pi\) |
0.432655 | + | 0.901560i | \(0.357577\pi\) | |||||||
\(72\) | −42.0805 | − | 126.274i | −0.584452 | − | 1.75380i | ||||
\(73\) | −41.7484 | − | 8.30428i | −0.571896 | − | 0.113757i | −0.0993335 | − | 0.995054i | \(-0.531671\pi\) |
−0.472563 | + | 0.881297i | \(0.656671\pi\) | |||||||
\(74\) | 81.5033 | − | 11.4814i | 1.10140 | − | 0.155154i | ||||
\(75\) | 268.665 | − | 26.4612i | 3.58220 | − | 0.352816i | ||||
\(76\) | −29.4273 | + | 11.6880i | −0.387201 | + | 0.153789i | ||||
\(77\) | 21.4639 | − | 6.51099i | 0.278752 | − | 0.0845584i | ||||
\(78\) | 157.245 | − | 114.848i | 2.01596 | − | 1.47241i | ||||
\(79\) | 14.4300 | + | 34.8371i | 0.182658 | + | 0.440977i | 0.988513 | − | 0.151137i | \(-0.0482936\pi\) |
−0.805854 | + | 0.592114i | \(0.798294\pi\) | |||||||
\(80\) | 17.9940 | − | 140.447i | 0.224925 | − | 1.75559i | ||||
\(81\) | −42.5646 | − | 17.6308i | −0.525489 | − | 0.217665i | ||||
\(82\) | 9.10281 | + | 37.5019i | 0.111010 | + | 0.457340i | ||||
\(83\) | −29.0696 | − | 15.5380i | −0.350236 | − | 0.187205i | 0.286892 | − | 0.957963i | \(-0.407378\pi\) |
−0.637128 | + | 0.770758i | \(0.719878\pi\) | |||||||
\(84\) | 11.1298 | + | 60.5700i | 0.132498 | + | 0.721071i | ||||
\(85\) | −4.78463 | + | 5.83008i | −0.0562897 | + | 0.0685892i | ||||
\(86\) | 7.17855 | − | 4.23161i | 0.0834715 | − | 0.0492048i | ||||
\(87\) | 148.267 | + | 221.897i | 1.70422 | + | 2.55054i | ||||
\(88\) | 34.1055 | + | 48.1590i | 0.387562 | + | 0.547261i | ||||
\(89\) | −42.1422 | + | 63.0703i | −0.473508 | + | 0.708655i | −0.988947 | − | 0.148272i | \(-0.952629\pi\) |
0.515439 | + | 0.856926i | \(0.327629\pi\) | |||||||
\(90\) | −196.157 | − | 219.633i | −2.17952 | − | 2.44036i | ||||
\(91\) | −51.5633 | + | 27.5612i | −0.566630 | + | 0.302870i | ||||
\(92\) | −137.276 | − | 15.5508i | −1.49214 | − | 0.169030i | ||||
\(93\) | 95.0527 | + | 9.36188i | 1.02207 | + | 0.100665i | ||||
\(94\) | 4.29969 | + | 3.95466i | 0.0457414 | + | 0.0420709i | ||||
\(95\) | −49.5350 | + | 49.5350i | −0.521421 | + | 0.521421i | ||||
\(96\) | −141.928 | + | 78.1629i | −1.47841 | + | 0.814197i | ||||
\(97\) | 55.5595 | − | 55.5595i | 0.572778 | − | 0.572778i | −0.360126 | − | 0.932904i | \(-0.617266\pi\) |
0.932904 | + | 0.360126i | \(0.117266\pi\) | |||||||
\(98\) | 3.32049 | + | 79.4393i | 0.0338826 | + | 0.810605i | ||||
\(99\) | 122.137 | + | 12.0295i | 1.23371 | + | 0.121510i | ||||
\(100\) | −58.9176 | − | 204.970i | −0.589176 | − | 2.04970i | ||||
\(101\) | 75.6414 | − | 40.4311i | 0.748924 | − | 0.400308i | −0.0523319 | − | 0.998630i | \(-0.516665\pi\) |
0.801256 | + | 0.598321i | \(0.204165\pi\) | |||||||
\(102\) | 8.61664 | + | 0.486494i | 0.0844769 | + | 0.00476955i | ||||
\(103\) | −3.14444 | + | 4.70599i | −0.0305286 | + | 0.0456893i | −0.846420 | − | 0.532516i | \(-0.821247\pi\) |
0.815891 | + | 0.578205i | \(0.196247\pi\) | |||||||
\(104\) | −111.685 | − | 105.779i | −1.07389 | − | 1.01711i | ||||
\(105\) | 75.6966 | + | 113.288i | 0.720920 | + | 1.07893i | ||||
\(106\) | −84.7404 | − | 21.8861i | −0.799437 | − | 0.206473i | ||||
\(107\) | 85.5853 | − | 104.286i | 0.799863 | − | 0.974636i | −0.200124 | − | 0.979771i | \(-0.564135\pi\) |
0.999987 | + | 0.00513504i | \(0.00163454\pi\) | |||||||
\(108\) | −32.3937 | + | 151.258i | −0.299941 | + | 1.40054i | ||||
\(109\) | 100.435 | + | 53.6836i | 0.921421 | + | 0.492510i | 0.862672 | − | 0.505763i | \(-0.168789\pi\) |
0.0587484 | + | 0.998273i | \(0.481289\pi\) | |||||||
\(110\) | 111.492 | + | 67.9388i | 1.01356 | + | 0.617625i | ||||
\(111\) | −192.516 | − | 79.7427i | −1.73438 | − | 0.718402i | ||||
\(112\) | 45.4727 | − | 17.2953i | 0.406006 | − | 0.154423i | ||||
\(113\) | 1.07515 | + | 2.59565i | 0.00951462 | + | 0.0229703i | 0.928565 | − | 0.371169i | \(-0.121043\pi\) |
−0.919051 | + | 0.394139i | \(0.871043\pi\) | |||||||
\(114\) | 79.2060 | + | 12.3417i | 0.694789 | + | 0.108260i | ||||
\(115\) | −292.495 | + | 88.7275i | −2.54344 | + | 0.771543i | ||||
\(116\) | 151.241 | − | 146.881i | 1.30380 | − | 1.26622i | ||||
\(117\) | −318.373 | + | 31.3570i | −2.72114 | + | 0.268009i | ||||
\(118\) | 26.9025 | − | 35.7249i | 0.227988 | − | 0.302753i | ||||
\(119\) | −2.54158 | − | 0.505552i | −0.0213578 | − | 0.00424833i | ||||
\(120\) | −219.807 | + | 283.176i | −1.83173 | + | 2.35980i | ||||
\(121\) | 65.3069 | − | 12.9904i | 0.539727 | − | 0.107358i | ||||
\(122\) | 43.0377 | + | 123.113i | 0.352768 | + | 1.00912i | ||||
\(123\) | 28.3607 | − | 93.4927i | 0.230575 | − | 0.760103i | ||||
\(124\) | −6.29682 | − | 75.1908i | −0.0507808 | − | 0.606377i | ||||
\(125\) | −158.979 | − | 193.717i | −1.27183 | − | 1.54973i | ||||
\(126\) | 34.7819 | − | 95.0127i | 0.276047 | − | 0.754069i | ||||
\(127\) | 188.646i | 1.48540i | 0.669622 | + | 0.742702i | \(0.266456\pi\) | ||||
−0.669622 | + | 0.742702i | \(0.733544\pi\) | |||||||
\(128\) | 80.9943 | + | 99.1157i | 0.632768 | + | 0.774341i | ||||
\(129\) | −21.0964 | −0.163538 | ||||||||
\(130\) | −319.589 | − | 116.994i | −2.45838 | − | 0.899954i | ||||
\(131\) | −48.0104 | + | 39.4012i | −0.366492 | + | 0.300772i | −0.799557 | − | 0.600591i | \(-0.794932\pi\) |
0.433065 | + | 0.901363i | \(0.357432\pi\) | |||||||
\(132\) | −12.4679 | − | 148.880i | −0.0944535 | − | 1.12788i | ||||
\(133\) | −23.0331 | − | 6.98702i | −0.173181 | − | 0.0525340i | ||||
\(134\) | 215.842 | − | 75.4539i | 1.61076 | − | 0.563088i | ||||
\(135\) | 66.7669 | + | 335.660i | 0.494570 | + | 2.48637i | ||||
\(136\) | −0.852214 | − | 6.76442i | −0.00626628 | − | 0.0497384i | ||||
\(137\) | 4.42130 | − | 22.2274i | 0.0322723 | − | 0.162244i | −0.961289 | − | 0.275544i | \(-0.911142\pi\) |
0.993561 | + | 0.113300i | \(0.0361421\pi\) | |||||||
\(138\) | 279.401 | + | 210.402i | 2.02465 | + | 1.52465i | ||||
\(139\) | −0.275060 | − | 2.79273i | −0.00197885 | − | 0.0200916i | 0.994145 | − | 0.108058i | \(-0.0344632\pi\) |
−0.996123 | + | 0.0879663i | \(0.971963\pi\) | |||||||
\(140\) | 77.2152 | − | 74.9891i | 0.551537 | − | 0.535636i | ||||
\(141\) | −4.29319 | − | 14.1527i | −0.0304481 | − | 0.100374i | ||||
\(142\) | −10.8636 | + | 69.7202i | −0.0765045 | + | 0.490987i | ||||
\(143\) | 131.042 | − | 54.2794i | 0.916378 | − | 0.379576i | ||||
\(144\) | 266.088 | + | 7.78535i | 1.84783 | + | 0.0540649i | ||||
\(145\) | 178.499 | − | 430.934i | 1.23102 | − | 2.97196i | ||||
\(146\) | 44.2997 | − | 72.6987i | 0.303423 | − | 0.497937i | ||||
\(147\) | 94.8876 | − | 177.522i | 0.645494 | − | 1.20763i | ||||
\(148\) | −34.4728 | + | 160.966i | −0.232924 | + | 1.08761i | ||||
\(149\) | 35.8424 | + | 29.4151i | 0.240553 | + | 0.197417i | 0.746943 | − | 0.664888i | \(-0.231521\pi\) |
−0.506391 | + | 0.862304i | \(0.669021\pi\) | |||||||
\(150\) | −135.019 | + | 522.776i | −0.900125 | + | 3.48517i | ||||
\(151\) | −191.552 | + | 127.991i | −1.26855 | + | 0.847620i | −0.993503 | − | 0.113809i | \(-0.963695\pi\) |
−0.275051 | + | 0.961430i | \(0.588695\pi\) | |||||||
\(152\) | −1.71910 | − | 63.3036i | −0.0113098 | − | 0.416471i | ||||
\(153\) | −11.7896 | − | 7.87753i | −0.0770560 | − | 0.0514871i | ||||
\(154\) | −2.52872 | + | 44.7880i | −0.0164203 | + | 0.290831i | ||||
\(155\) | −78.6933 | − | 147.225i | −0.507699 | − | 0.949837i | ||||
\(156\) | 107.586 | + | 374.284i | 0.689655 | + | 2.39926i | ||||
\(157\) | −6.61962 | + | 67.2101i | −0.0421632 | + | 0.428090i | 0.950812 | + | 0.309768i | \(0.100251\pi\) |
−0.992975 | + | 0.118322i | \(0.962249\pi\) | |||||||
\(158\) | −75.3491 | + | 3.14953i | −0.476893 | + | 0.0199337i | ||||
\(159\) | 156.677 | + | 156.677i | 0.985392 | + | 0.985392i | ||||
\(160\) | 251.404 | + | 130.357i | 1.57128 | + | 0.814730i | ||||
\(161\) | −74.2607 | − | 74.2607i | −0.461247 | − | 0.461247i | ||||
\(162\) | 62.3772 | − | 67.8193i | 0.385045 | − | 0.418638i | ||||
\(163\) | 12.0663 | − | 122.511i | 0.0740264 | − | 0.751603i | −0.884489 | − | 0.466561i | \(-0.845493\pi\) |
0.958515 | − | 0.285041i | \(-0.0920074\pi\) | |||||||
\(164\) | −76.6911 | − | 8.68763i | −0.467629 | − | 0.0529733i | ||||
\(165\) | −155.815 | − | 291.509i | −0.944331 | − | 1.76672i | ||||
\(166\) | 49.1683 | − | 43.9130i | 0.296195 | − | 0.264536i | ||||
\(167\) | 123.763 | + | 82.6956i | 0.741094 | + | 0.495183i | 0.867897 | − | 0.496745i | \(-0.165472\pi\) |
−0.126803 | + | 0.991928i | \(0.540472\pi\) | |||||||
\(168\) | −121.409 | − | 20.7407i | −0.722674 | − | 0.123457i | ||||
\(169\) | −166.900 | + | 111.519i | −0.987574 | + | 0.659876i | ||||
\(170\) | −7.65996 | − | 12.9944i | −0.0450586 | − | 0.0764378i | ||||
\(171\) | −101.806 | − | 83.5503i | −0.595358 | − | 0.488598i | ||||
\(172\) | 3.01196 | + | 16.3915i | 0.0175114 | + | 0.0952993i | ||||
\(173\) | 47.7094 | − | 89.2580i | 0.275777 | − | 0.515942i | −0.705460 | − | 0.708750i | \(-0.749259\pi\) |
0.981237 | + | 0.192808i | \(0.0617594\pi\) | |||||||
\(174\) | −518.685 | + | 125.900i | −2.98095 | + | 0.723565i | ||||
\(175\) | 62.0409 | − | 149.780i | 0.354519 | − | 0.855885i | ||||
\(176\) | −113.897 | + | 30.9430i | −0.647139 | + | 0.175813i | ||||
\(177\) | −104.602 | + | 43.3276i | −0.590973 | + | 0.244789i | ||||
\(178\) | −89.4788 | − | 122.511i | −0.502690 | − | 0.688261i | ||||
\(179\) | 52.3241 | + | 172.489i | 0.292313 | + | 0.963628i | 0.972952 | + | 0.231009i | \(0.0742025\pi\) |
−0.680638 | + | 0.732620i | \(0.738297\pi\) | |||||||
\(180\) | 547.359 | − | 217.401i | 3.04088 | − | 1.20778i | ||||
\(181\) | −5.82109 | − | 59.1026i | −0.0321607 | − | 0.326534i | −0.997781 | − | 0.0665777i | \(-0.978792\pi\) |
0.965621 | − | 0.259956i | \(-0.0837080\pi\) | |||||||
\(182\) | −16.3115 | − | 115.791i | −0.0896237 | − | 0.636213i | ||||
\(183\) | 64.4147 | − | 323.835i | 0.351993 | − | 1.76959i | ||||
\(184\) | 123.588 | − | 247.129i | 0.671674 | − | 1.34309i | ||||
\(185\) | 71.0521 | + | 357.203i | 0.384066 | + | 1.93083i | ||||
\(186\) | −82.9344 | + | 172.083i | −0.445884 | + | 0.925177i | ||||
\(187\) | 6.01588 | + | 1.82490i | 0.0321705 | + | 0.00975880i | ||||
\(188\) | −10.3835 | + | 5.35634i | −0.0552312 | + | 0.0284911i | ||||
\(189\) | −90.8973 | + | 74.5975i | −0.480938 | + | 0.394696i | ||||
\(190\) | −58.9753 | − | 127.089i | −0.310397 | − | 0.668890i | ||||
\(191\) | −329.085 | −1.72296 | −0.861478 | − | 0.507795i | \(-0.830461\pi\) | ||||
−0.861478 | + | 0.507795i | \(0.830461\pi\) | |||||||
\(192\) | −49.2188 | − | 320.295i | −0.256348 | − | 1.66821i | ||||
\(193\) | 328.598i | 1.70258i | 0.524697 | + | 0.851289i | \(0.324179\pi\) | ||||
−0.524697 | + | 0.851289i | \(0.675821\pi\) | |||||||
\(194\) | 66.1479 | + | 142.546i | 0.340969 | + | 0.734772i | ||||
\(195\) | 546.598 | + | 666.032i | 2.80307 | + | 3.41555i | ||||
\(196\) | −151.479 | − | 48.3808i | −0.772851 | − | 0.246841i | ||||
\(197\) | −70.8743 | + | 233.641i | −0.359768 | + | 1.18600i | 0.571174 | + | 0.820829i | \(0.306488\pi\) |
−0.930942 | + | 0.365167i | \(0.881012\pi\) | |||||||
\(198\) | −106.566 | + | 221.117i | −0.538212 | + | 1.11675i | ||||
\(199\) | −14.5171 | + | 2.88762i | −0.0729500 | + | 0.0145107i | −0.231430 | − | 0.972851i | \(-0.574341\pi\) |
0.158480 | + | 0.987362i | \(0.449341\pi\) | |||||||
\(200\) | 425.464 | + | 30.2695i | 2.12732 | + | 0.151347i | ||||
\(201\) | −567.748 | − | 112.932i | −2.82462 | − | 0.561851i | ||||
\(202\) | 23.9283 | + | 169.861i | 0.118457 | + | 0.840894i | ||||
\(203\) | 159.492 | − | 15.7086i | 0.785675 | − | 0.0773823i | ||||
\(204\) | −6.83790 | + | 15.8485i | −0.0335191 | + | 0.0776889i | ||||
\(205\) | −163.406 | + | 49.5686i | −0.797102 | + | 0.241798i | ||||
\(206\) | −6.67647 | − | 9.14114i | −0.0324101 | − | 0.0443744i | ||||
\(207\) | −219.905 | − | 530.898i | −1.06234 | − | 2.56473i | ||||
\(208\) | 275.451 | − | 137.030i | 1.32429 | − | 0.658796i | ||||
\(209\) | 53.9470 | + | 22.3456i | 0.258120 | + | 0.106917i | ||||
\(210\) | −264.811 | + | 64.2775i | −1.26101 | + | 0.306083i | ||||
\(211\) | −38.2306 | − | 20.4347i | −0.181188 | − | 0.0968468i | 0.378309 | − | 0.925679i | \(-0.376506\pi\) |
−0.559497 | + | 0.828832i | \(0.689006\pi\) | |||||||
\(212\) | 99.3662 | − | 144.104i | 0.468709 | − | 0.679738i | ||||
\(213\) | 113.327 | − | 138.090i | 0.532054 | − | 0.648309i | ||||
\(214\) | 137.018 | + | 232.439i | 0.640271 | + | 1.08616i | ||||
\(215\) | 20.4850 | + | 30.6580i | 0.0952793 | + | 0.142596i | ||||
\(216\) | −261.808 | − | 164.834i | −1.21207 | − | 0.763119i | ||||
\(217\) | 31.8662 | − | 47.6912i | 0.146849 | − | 0.219775i | ||||
\(218\) | −169.876 | + | 151.719i | −0.779247 | + | 0.695957i | ||||
\(219\) | −190.079 | + | 101.600i | −0.867942 | + | 0.463925i | ||||
\(220\) | −204.251 | + | 162.684i | −0.928413 | + | 0.739473i | ||||
\(221\) | −16.3082 | − | 1.60622i | −0.0737927 | − | 0.00726795i | ||||
\(222\) | 282.126 | − | 306.740i | 1.27084 | − | 1.38171i | ||||
\(223\) | 273.825 | − | 273.825i | 1.22792 | − | 1.22792i | 0.263164 | − | 0.964751i | \(-0.415234\pi\) |
0.964751 | − | 0.263164i | \(-0.0847662\pi\) | |||||||
\(224\) | 1.21863 | + | 97.2938i | 0.00544032 | + | 0.434347i | ||||
\(225\) | 627.256 | − | 627.256i | 2.78780 | − | 2.78780i | ||||
\(226\) | −5.61411 | + | 0.234665i | −0.0248412 | + | 0.00103834i | ||||
\(227\) | −240.105 | − | 23.6483i | −1.05773 | − | 0.104178i | −0.445836 | − | 0.895115i | \(-0.647093\pi\) |
−0.611897 | + | 0.790937i | \(0.709593\pi\) | |||||||
\(228\) | −77.6357 | + | 140.272i | −0.340507 | + | 0.615229i | ||||
\(229\) | −78.5078 | + | 41.9633i | −0.342829 | + | 0.183246i | −0.633821 | − | 0.773480i | \(-0.718515\pi\) |
0.290993 | + | 0.956725i | \(0.406015\pi\) | |||||||
\(230\) | 34.4598 | − | 610.341i | 0.149825 | − | 2.65366i | ||||
\(231\) | 63.0959 | − | 94.4296i | 0.273142 | − | 0.408786i | ||||
\(232\) | 171.876 | + | 385.033i | 0.740843 | + | 1.65963i | ||||
\(233\) | −212.685 | − | 318.305i | −0.912809 | − | 1.36612i | −0.930508 | − | 0.366273i | \(-0.880634\pi\) |
0.0176981 | − | 0.999843i | \(-0.494366\pi\) | |||||||
\(234\) | 160.000 | − | 619.499i | 0.683759 | − | 2.64743i | ||||
\(235\) | −16.3985 | + | 19.9817i | −0.0697810 | + | 0.0850283i | ||||
\(236\) | 48.5990 | + | 75.0880i | 0.205928 | + | 0.318169i | ||||
\(237\) | 168.382 | + | 90.0021i | 0.710473 | + | 0.379756i | ||||
\(238\) | 2.69690 | − | 4.42578i | 0.0113315 | − | 0.0185957i | ||||
\(239\) | −225.722 | − | 93.4970i | −0.944442 | − | 0.391201i | −0.143303 | − | 0.989679i | \(-0.545772\pi\) |
−0.801139 | + | 0.598478i | \(0.795772\pi\) | |||||||
\(240\) | −380.711 | − | 607.515i | −1.58629 | − | 2.53131i | ||||
\(241\) | 116.766 | + | 281.898i | 0.484507 | + | 1.16970i | 0.957447 | + | 0.288608i | \(0.0931925\pi\) |
−0.472941 | + | 0.881094i | \(0.656807\pi\) | |||||||
\(242\) | −20.5033 | + | 131.585i | −0.0847242 | + | 0.543740i | ||||
\(243\) | 109.829 | − | 33.3161i | 0.451970 | − | 0.137103i | ||||
\(244\) | −260.810 | − | 3.81464i | −1.06889 | − | 0.0156338i | ||||
\(245\) | −350.120 | + | 34.4838i | −1.42906 | + | 0.140750i | ||||
\(246\) | 156.091 | + | 117.544i | 0.634515 | + | 0.477820i | ||||
\(247\) | −149.284 | − | 29.6945i | −0.604390 | − | 0.120221i | ||||
\(248\) | 145.546 | + | 39.8699i | 0.586878 | + | 0.160766i | ||||
\(249\) | −163.690 | + | 32.5599i | −0.657388 | + | 0.130763i | ||||
\(250\) | 473.125 | − | 165.394i | 1.89250 | − | 0.661577i | ||||
\(251\) | −57.2400 | + | 188.695i | −0.228048 | + | 0.751773i | 0.766001 | + | 0.642839i | \(0.222244\pi\) |
−0.994049 | + | 0.108934i | \(0.965256\pi\) | |||||||
\(252\) | 154.531 | + | 130.648i | 0.613217 | + | 0.518446i | ||||
\(253\) | 161.628 | + | 196.945i | 0.638847 | + | 0.778437i | ||||
\(254\) | −354.299 | − | 129.700i | −1.39488 | − | 0.510631i | ||||
\(255\) | 38.1881i | 0.149757i | ||||||||
\(256\) | −241.836 | + | 83.9711i | −0.944673 | + | 0.328012i | ||||
\(257\) | 275.737 | 1.07291 | 0.536453 | − | 0.843930i | \(-0.319764\pi\) | ||||
0.536453 | + | 0.843930i | \(0.319764\pi\) | |||||||
\(258\) | 14.5044 | − | 39.6213i | 0.0562187 | − | 0.153571i | ||||
\(259\) | −96.7313 | + | 79.3853i | −0.373480 | + | 0.306507i | ||||
\(260\) | 439.455 | − | 519.787i | 1.69021 | − | 1.99918i | ||||
\(261\) | 839.154 | + | 254.555i | 3.21515 | + | 0.975305i | ||||
\(262\) | −40.9910 | − | 117.258i | −0.156454 | − | 0.447551i | ||||
\(263\) | 15.3363 | + | 77.1009i | 0.0583130 | + | 0.293159i | 0.998927 | − | 0.0463195i | \(-0.0147492\pi\) |
−0.940614 | + | 0.339479i | \(0.889749\pi\) | |||||||
\(264\) | 288.184 | + | 78.9434i | 1.09161 | + | 0.299028i | ||||
\(265\) | 75.5522 | − | 379.827i | 0.285103 | − | 1.43331i | ||||
\(266\) | 28.9584 | − | 38.4549i | 0.108866 | − | 0.144567i | ||||
\(267\) | 37.6460 | + | 382.226i | 0.140996 | + | 1.43156i | ||||
\(268\) | −6.68785 | + | 457.253i | −0.0249547 | + | 1.70617i | ||||
\(269\) | −106.363 | − | 350.633i | −0.395403 | − | 1.30347i | −0.898399 | − | 0.439180i | \(-0.855269\pi\) |
0.502996 | − | 0.864289i | \(-0.332231\pi\) | |||||||
\(270\) | −676.311 | − | 105.381i | −2.50485 | − | 0.390301i | ||||
\(271\) | 236.422 | − | 97.9294i | 0.872407 | − | 0.361363i | 0.0988600 | − | 0.995101i | \(-0.468480\pi\) |
0.773547 | + | 0.633738i | \(0.218480\pi\) | |||||||
\(272\) | 13.2903 | + | 3.05020i | 0.0488613 | + | 0.0112140i | ||||
\(273\) | −113.289 | + | 273.505i | −0.414980 | + | 1.00185i | ||||
\(274\) | 38.7057 | + | 23.5857i | 0.141262 | + | 0.0860793i | ||||
\(275\) | −185.400 | + | 346.859i | −0.674181 | + | 1.26130i | ||||
\(276\) | −587.256 | + | 380.088i | −2.12774 | + | 1.37713i | ||||
\(277\) | 238.072 | + | 195.380i | 0.859464 | + | 0.705344i | 0.957062 | − | 0.289882i | \(-0.0936160\pi\) |
−0.0975983 | + | 0.995226i | \(0.531116\pi\) | |||||||
\(278\) | 5.43417 | + | 1.40350i | 0.0195474 | + | 0.00504856i | ||||
\(279\) | 260.951 | − | 174.362i | 0.935309 | − | 0.624954i | ||||
\(280\) | 87.7499 | + | 196.576i | 0.313392 | + | 0.702058i | ||||
\(281\) | −74.3682 | − | 49.6913i | −0.264656 | − | 0.176837i | 0.416161 | − | 0.909291i | \(-0.363375\pi\) |
−0.680817 | + | 0.732453i | \(0.738375\pi\) | |||||||
\(282\) | 29.5321 | + | 1.66738i | 0.104724 | + | 0.00591269i | ||||
\(283\) | −136.617 | − | 255.593i | −0.482747 | − | 0.903156i | −0.998911 | − | 0.0466660i | \(-0.985140\pi\) |
0.516164 | − | 0.856490i | \(-0.327360\pi\) | |||||||
\(284\) | −123.473 | − | 68.3379i | −0.434764 | − | 0.240627i | ||||
\(285\) | −34.7671 | + | 352.996i | −0.121990 | + | 1.23858i | ||||
\(286\) | 11.8472 | + | 283.430i | 0.0414236 | + | 0.991016i | ||||
\(287\) | −41.4866 | − | 41.4866i | −0.144553 | − | 0.144553i | ||||
\(288\) | −197.566 | + | 494.390i | −0.685992 | + | 1.71663i | ||||
\(289\) | 203.840 | + | 203.840i | 0.705330 | + | 0.705330i | ||||
\(290\) | 686.618 | + | 631.521i | 2.36765 | + | 2.17766i | ||||
\(291\) | 38.9954 | − | 395.927i | 0.134005 | − | 1.36058i | ||||
\(292\) | 106.079 | + | 133.183i | 0.363284 | + | 0.456105i | ||||
\(293\) | 140.862 | + | 263.534i | 0.480756 | + | 0.899432i | 0.999022 | + | 0.0442123i | \(0.0140778\pi\) |
−0.518266 | + | 0.855220i | \(0.673422\pi\) | |||||||
\(294\) | 268.168 | + | 300.262i | 0.912137 | + | 1.02130i | ||||
\(295\) | 164.536 | + | 109.940i | 0.557751 | + | 0.372677i | ||||
\(296\) | −278.611 | − | 175.413i | −0.941254 | − | 0.592611i | ||||
\(297\) | 237.190 | − | 158.485i | 0.798620 | − | 0.533621i | ||||
\(298\) | −79.8875 | + | 47.0922i | −0.268079 | + | 0.158027i | ||||
\(299\) | −513.372 | − | 421.313i | −1.71696 | − | 1.40907i | ||||
\(300\) | −889.001 | − | 613.005i | −2.96334 | − | 2.04335i | ||||
\(301\) | −5.97207 | + | 11.1730i | −0.0198408 | + | 0.0371195i | ||||
\(302\) | −108.683 | − | 447.753i | −0.359877 | − | 1.48262i | ||||
\(303\) | 166.191 | − | 401.221i | 0.548486 | − | 1.32416i | ||||
\(304\) | 120.073 | + | 40.2946i | 0.394977 | + | 0.132548i | ||||
\(305\) | −533.157 | + | 220.841i | −1.74805 | + | 0.724068i | ||||
\(306\) | 22.9006 | − | 16.7260i | 0.0748385 | − | 0.0546603i | ||||
\(307\) | 159.335 | + | 525.258i | 0.519008 | + | 1.71094i | 0.688348 | + | 0.725381i | \(0.258336\pi\) |
−0.169340 | + | 0.985558i | \(0.554164\pi\) | |||||||
\(308\) | −82.3783 | − | 35.5424i | −0.267462 | − | 0.115397i | ||||
\(309\) | 2.80896 | + | 28.5199i | 0.00909049 | + | 0.0922973i | ||||
\(310\) | 330.609 | − | 46.5730i | 1.06648 | − | 0.150235i | ||||
\(311\) | −81.5648 | + | 410.054i | −0.262266 | + | 1.31850i | 0.595040 | + | 0.803696i | \(0.297136\pi\) |
−0.857307 | + | 0.514806i | \(0.827864\pi\) | |||||||
\(312\) | −776.916 | − | 55.2735i | −2.49012 | − | 0.177159i | ||||
\(313\) | −69.1865 | − | 347.824i | −0.221043 | − | 1.11126i | −0.918739 | − | 0.394865i | \(-0.870791\pi\) |
0.697696 | − | 0.716394i | \(-0.254209\pi\) | |||||||
\(314\) | −121.677 | − | 58.6415i | −0.387506 | − | 0.186756i | ||||
\(315\) | 428.425 | + | 129.961i | 1.36008 | + | 0.412575i | ||||
\(316\) | 45.8897 | − | 143.679i | 0.145221 | − | 0.454682i | ||||
\(317\) | −22.7315 | + | 18.6553i | −0.0717082 | + | 0.0588494i | −0.669565 | − | 0.742754i | \(-0.733519\pi\) |
0.597856 | + | 0.801603i | \(0.296019\pi\) | |||||||
\(318\) | −401.978 | + | 186.537i | −1.26408 | + | 0.586594i | ||||
\(319\) | −388.794 | −1.21879 | ||||||||
\(320\) | −417.673 | + | 382.541i | −1.30523 | + | 1.19544i | ||||
\(321\) | − | 683.092i | − | 2.12801i | ||||||
\(322\) | 190.527 | − | 88.4133i | 0.591697 | − | 0.274575i | ||||
\(323\) | −4.27974 | − | 5.21488i | −0.0132500 | − | 0.0161451i | ||||
\(324\) | 84.4859 | + | 163.779i | 0.260759 | + | 0.505492i | ||||
\(325\) | 297.601 | − | 981.060i | 0.915696 | − | 3.01864i | ||||
\(326\) | 221.794 | + | 106.892i | 0.680349 | + | 0.327890i | ||||
\(327\) | 565.545 | − | 112.494i | 1.72950 | − | 0.344018i | ||||
\(328\) | 69.0439 | − | 138.061i | 0.210500 | − | 0.420919i | ||||
\(329\) | −8.71085 | − | 1.73270i | −0.0264767 | − | 0.00526655i | ||||
\(330\) | 654.613 | − | 92.2157i | 1.98368 | − | 0.279441i | ||||
\(331\) | −56.8989 | + | 5.60405i | −0.171900 | + | 0.0169307i | −0.183601 | − | 0.983001i | \(-0.558775\pi\) |
0.0117010 | + | 0.999932i | \(0.496275\pi\) | |||||||
\(332\) | 48.6687 | + | 122.535i | 0.146592 | + | 0.369082i | ||||
\(333\) | −655.221 | + | 198.759i | −1.96763 | + | 0.596875i | ||||
\(334\) | −240.402 | + | 175.584i | −0.719767 | + | 0.525701i | ||||
\(335\) | 387.179 | + | 934.733i | 1.15576 | + | 2.79025i | ||||
\(336\) | 122.426 | − | 213.760i | 0.364363 | − | 0.636191i | ||||
\(337\) | 131.314 | + | 54.3921i | 0.389656 | + | 0.161401i | 0.568906 | − | 0.822403i | \(-0.307367\pi\) |
−0.179249 | + | 0.983804i | \(0.557367\pi\) | |||||||
\(338\) | −94.6961 | − | 390.130i | −0.280166 | − | 1.15423i | ||||
\(339\) | 12.5458 | + | 6.70588i | 0.0370083 | + | 0.0197814i | ||||
\(340\) | 29.6714 | − | 5.45217i | 0.0872689 | − | 0.0160358i | ||||
\(341\) | −88.2743 | + | 107.563i | −0.258869 | + | 0.315433i | ||||
\(342\) | 226.912 | − | 133.760i | 0.663484 | − | 0.391111i | ||||
\(343\) | −149.933 | − | 224.391i | −0.437123 | − | 0.654201i | ||||
\(344\) | −32.8558 | − | 5.61287i | −0.0955111 | − | 0.0163165i | ||||
\(345\) | −859.828 | + | 1286.82i | −2.49226 | + | 3.72992i | ||||
\(346\) | 134.835 | + | 150.971i | 0.389696 | + | 0.436333i | ||||
\(347\) | 13.7094 | − | 7.32782i | 0.0395083 | − | 0.0211176i | −0.451524 | − | 0.892259i | \(-0.649120\pi\) |
0.491033 | + | 0.871141i | \(0.336620\pi\) | |||||||
\(348\) | 120.158 | − | 1060.71i | 0.345281 | − | 3.04801i | ||||
\(349\) | 335.871 | + | 33.0805i | 0.962383 | + | 0.0947864i | 0.566989 | − | 0.823725i | \(-0.308108\pi\) |
0.395394 | + | 0.918512i | \(0.370608\pi\) | |||||||
\(350\) | 238.648 | + | 219.498i | 0.681852 | + | 0.627137i | ||||
\(351\) | −525.803 | + | 525.803i | −1.49801 | + | 1.49801i | ||||
\(352\) | 20.1930 | − | 235.185i | 0.0573665 | − | 0.668138i | ||||
\(353\) | −27.5849 | + | 27.5849i | −0.0781442 | + | 0.0781442i | −0.745099 | − | 0.666954i | \(-0.767598\pi\) |
0.666954 | + | 0.745099i | \(0.267598\pi\) | |||||||
\(354\) | −9.45679 | − | 226.244i | −0.0267141 | − | 0.639106i | ||||
\(355\) | −310.721 | − | 30.6033i | −0.875270 | − | 0.0862066i | ||||
\(356\) | 291.608 | − | 83.8213i | 0.819123 | − | 0.235453i | ||||
\(357\) | −11.5717 | + | 6.18522i | −0.0324138 | + | 0.0173255i | ||||
\(358\) | −359.929 | − | 20.3215i | −1.00539 | − | 0.0567640i | ||||
\(359\) | 232.033 | − | 347.262i | 0.646331 | − | 0.967302i | −0.353165 | − | 0.935561i | \(-0.614895\pi\) |
0.999496 | − | 0.0317415i | \(-0.0101053\pi\) | |||||||
\(360\) | 31.9758 | + | 1177.47i | 0.0888218 | + | 3.27075i | ||||
\(361\) | 165.748 | + | 248.060i | 0.459137 | + | 0.687147i | ||||
\(362\) | 115.003 | + | 29.7022i | 0.317689 | + | 0.0820504i | ||||
\(363\) | 213.886 | − | 260.621i | 0.589218 | − | 0.717964i | ||||
\(364\) | 228.683 | + | 48.9751i | 0.628249 | + | 0.134547i | ||||
\(365\) | 332.220 | + | 177.575i | 0.910191 | + | 0.486507i | ||||
\(366\) | 563.910 | + | 343.624i | 1.54074 | + | 0.938865i | ||||
\(367\) | 356.531 | + | 147.680i | 0.971473 | + | 0.402397i | 0.811260 | − | 0.584685i | \(-0.198782\pi\) |
0.160213 | + | 0.987083i | \(0.448782\pi\) | |||||||
\(368\) | 379.164 | + | 402.021i | 1.03034 | + | 1.09245i | ||||
\(369\) | −122.853 | − | 296.593i | −0.332934 | − | 0.803774i | ||||
\(370\) | −719.718 | − | 112.145i | −1.94518 | − | 0.303094i | ||||
\(371\) | 127.332 | − | 38.6257i | 0.343212 | − | 0.104112i | ||||
\(372\) | −266.171 | − | 274.073i | −0.715513 | − | 0.736754i | ||||
\(373\) | 67.1344 | − | 6.61216i | 0.179985 | − | 0.0177270i | −0.00762310 | − | 0.999971i | \(-0.502427\pi\) |
0.187608 | + | 0.982244i | \(0.439927\pi\) | |||||||
\(374\) | −7.56346 | + | 10.0438i | −0.0202232 | + | 0.0268551i | ||||
\(375\) | −1244.50 | − | 247.546i | −3.31867 | − | 0.660124i | ||||
\(376\) | −2.92083 | − | 23.1840i | −0.00776815 | − | 0.0616595i | ||||
\(377\) | 993.989 | − | 197.717i | 2.63658 | − | 0.524448i | ||||
\(378\) | −77.6076 | − | 222.003i | −0.205311 | − | 0.587311i | ||||
\(379\) | −159.365 | + | 525.357i | −0.420489 | + | 1.38617i | 0.449581 | + | 0.893240i | \(0.351573\pi\) |
−0.870070 | + | 0.492928i | \(0.835927\pi\) | |||||||
\(380\) | 279.235 | − | 23.3844i | 0.734829 | − | 0.0615379i | ||||
\(381\) | 605.963 | + | 738.368i | 1.59045 | + | 1.93797i | ||||
\(382\) | 226.256 | − | 618.057i | 0.592293 | − | 1.61795i | ||||
\(383\) | − | 541.721i | − | 1.41442i | −0.707005 | − | 0.707208i | \(-0.749954\pi\) | ||
0.707005 | − | 0.707208i | \(-0.250046\pi\) | |||||||
\(384\) | 635.390 | + | 127.775i | 1.65466 | + | 0.332747i | ||||
\(385\) | −198.496 | −0.515575 | ||||||||
\(386\) | −617.143 | − | 225.921i | −1.59882 | − | 0.585288i | ||||
\(387\) | −53.5853 | + | 43.9763i | −0.138463 | + | 0.113634i | ||||
\(388\) | −313.195 | + | 26.2284i | −0.807205 | + | 0.0675991i | ||||
\(389\) | −375.905 | − | 114.030i | −0.966337 | − | 0.293135i | −0.232603 | − | 0.972572i | \(-0.574724\pi\) |
−0.733734 | + | 0.679437i | \(0.762224\pi\) | |||||||
\(390\) | −1626.69 | + | 568.654i | −4.17099 | + | 1.45809i | ||||
\(391\) | −5.74250 | − | 28.8695i | −0.0146867 | − | 0.0738350i | ||||
\(392\) | 195.011 | − | 251.230i | 0.497477 | − | 0.640894i | ||||
\(393\) | −61.3515 | + | 308.435i | −0.156111 | + | 0.784821i | ||||
\(394\) | −390.076 | − | 293.746i | −0.990040 | − | 0.745547i | ||||
\(395\) | −32.7083 | − | 332.093i | −0.0828059 | − | 0.840742i | ||||
\(396\) | −342.014 | − | 352.168i | −0.863673 | − | 0.889312i | ||||
\(397\) | −94.5163 | − | 311.578i | −0.238076 | − | 0.784832i | −0.991818 | − | 0.127661i | \(-0.959253\pi\) |
0.753742 | − | 0.657171i | \(-0.228247\pi\) | |||||||
\(398\) | 4.55766 | − | 29.2500i | 0.0114514 | − | 0.0734924i | ||||
\(399\) | −112.596 | + | 46.6387i | −0.282195 | + | 0.116889i | ||||
\(400\) | −349.369 | + | 778.257i | −0.873423 | + | 1.94564i | ||||
\(401\) | −236.333 | + | 570.558i | −0.589358 | + | 1.42284i | 0.294759 | + | 0.955572i | \(0.404761\pi\) |
−0.884117 | + | 0.467265i | \(0.845239\pi\) | |||||||
\(402\) | 602.444 | − | 988.649i | 1.49862 | − | 2.45933i | ||||
\(403\) | 170.982 | − | 319.885i | 0.424273 | − | 0.793759i | ||||
\(404\) | −335.468 | − | 71.8444i | −0.830367 | − | 0.177833i | ||||
\(405\) | 315.172 | + | 258.655i | 0.778203 | + | 0.638655i | ||||
\(406\) | −80.1534 | + | 310.344i | −0.197422 | + | 0.764394i | ||||
\(407\) | 252.413 | − | 168.657i | 0.620180 | − | 0.414391i | ||||
\(408\) | −25.0640 | − | 23.7387i | −0.0614314 | − | 0.0581831i | ||||
\(409\) | 66.3422 | + | 44.3284i | 0.162206 | + | 0.108382i | 0.634024 | − | 0.773313i | \(-0.281402\pi\) |
−0.471818 | + | 0.881696i | \(0.656402\pi\) | |||||||
\(410\) | 19.2514 | − | 340.974i | 0.0469545 | − | 0.831645i | ||||
\(411\) | −54.0928 | − | 101.201i | −0.131613 | − | 0.246230i | ||||
\(412\) | 21.7584 | − | 6.25433i | 0.0528115 | − | 0.0151804i | ||||
\(413\) | −6.66436 | + | 67.6643i | −0.0161365 | + | 0.163836i | ||||
\(414\) | 1148.28 | − | 47.9970i | 2.77362 | − | 0.115935i | ||||
\(415\) | 206.264 | + | 206.264i | 0.497021 | + | 0.497021i | ||||
\(416\) | 67.9751 | + | 611.541i | 0.163402 | + | 1.47005i | ||||
\(417\) | −10.0473 | − | 10.0473i | −0.0240942 | − | 0.0240942i | ||||
\(418\) | −79.0578 | + | 85.9552i | −0.189133 | + | 0.205634i | ||||
\(419\) | −66.2099 | + | 672.240i | −0.158019 | + | 1.60439i | 0.509951 | + | 0.860203i | \(0.329664\pi\) |
−0.667970 | + | 0.744188i | \(0.732836\pi\) | |||||||
\(420\) | 61.3458 | − | 541.537i | 0.146061 | − | 1.28937i | ||||
\(421\) | −174.080 | − | 325.682i | −0.413493 | − | 0.773591i | 0.585828 | − | 0.810435i | \(-0.300769\pi\) |
−0.999321 | + | 0.0368446i | \(0.988269\pi\) | |||||||
\(422\) | 64.6634 | − | 57.7518i | 0.153231 | − | 0.136853i | ||||
\(423\) | −40.4068 | − | 26.9990i | −0.0955244 | − | 0.0638273i | ||||
\(424\) | 202.327 | + | 285.697i | 0.477185 | + | 0.673814i | ||||
\(425\) | 37.7812 | − | 25.2446i | 0.0888969 | − | 0.0593990i | ||||
\(426\) | 181.432 | + | 307.783i | 0.425896 | + | 0.722494i | ||||
\(427\) | −153.273 | − | 125.788i | −0.358953 | − | 0.294585i | ||||
\(428\) | −530.750 | + | 97.5261i | −1.24007 | + | 0.227865i | ||||
\(429\) | 338.549 | − | 633.380i | 0.789157 | − | 1.47641i | ||||
\(430\) | −71.6633 | + | 17.3948i | −0.166659 | + | 0.0404531i | ||||
\(431\) | 93.5523 | − | 225.855i | 0.217059 | − | 0.524026i | −0.777418 | − | 0.628984i | \(-0.783471\pi\) |
0.994477 | + | 0.104958i | \(0.0334709\pi\) | |||||||
\(432\) | 489.577 | − | 378.376i | 1.13328 | − | 0.875869i | ||||
\(433\) | −204.431 | + | 84.6782i | −0.472127 | + | 0.195562i | −0.606044 | − | 0.795431i | \(-0.707245\pi\) |
0.133917 | + | 0.990993i | \(0.457245\pi\) | |||||||
\(434\) | 67.6602 | + | 92.6375i | 0.155899 | + | 0.213450i | ||||
\(435\) | −685.580 | − | 2260.05i | −1.57605 | − | 5.19552i | ||||
\(436\) | −168.149 | − | 423.357i | −0.385664 | − | 0.971002i | ||||
\(437\) | −26.7982 | − | 272.086i | −0.0613230 | − | 0.622623i | ||||
\(438\) | −60.1296 | − | 426.843i | −0.137282 | − | 0.974527i | ||||
\(439\) | 88.4638 | − | 444.737i | 0.201512 | − | 1.01307i | −0.739103 | − | 0.673593i | \(-0.764750\pi\) |
0.940615 | − | 0.339476i | \(-0.110250\pi\) | |||||||
\(440\) | −165.110 | − | 495.456i | −0.375250 | − | 1.12604i | ||||
\(441\) | −129.036 | − | 648.708i | −0.292599 | − | 1.47099i | ||||
\(442\) | 14.2291 | − | 29.5243i | 0.0321924 | − | 0.0667970i | ||||
\(443\) | −12.5543 | − | 3.80829i | −0.0283392 | − | 0.00859660i | 0.276083 | − | 0.961134i | \(-0.410963\pi\) |
−0.304422 | + | 0.952537i | \(0.598463\pi\) | |||||||
\(444\) | 382.122 | + | 740.758i | 0.860634 | + | 1.66837i | ||||
\(445\) | 518.911 | − | 425.859i | 1.16609 | − | 0.956986i | ||||
\(446\) | 326.010 | + | 702.537i | 0.730965 | + | 1.57520i | ||||
\(447\) | 234.774 | 0.525222 | ||||||||
\(448\) | −183.566 | − | 64.6039i | −0.409747 | − | 0.144205i | ||||
\(449\) | 102.650i | 0.228620i | 0.993445 | + | 0.114310i | \(0.0364657\pi\) | ||||
−0.993445 | + | 0.114310i | \(0.963534\pi\) | |||||||
\(450\) | 746.798 | + | 1609.31i | 1.65955 | + | 3.57625i | ||||
\(451\) | 90.2955 | + | 110.025i | 0.200212 | + | 0.243959i | ||||
\(452\) | 3.41916 | − | 10.7053i | 0.00756450 | − | 0.0236842i | ||||
\(453\) | −338.612 | + | 1116.25i | −0.747488 | + | 2.46414i | ||||
\(454\) | 209.494 | − | 434.685i | 0.461441 | − | 0.957457i | ||||
\(455\) | 507.474 | − | 100.943i | 1.11533 | − | 0.221853i | ||||
\(456\) | −210.070 | − | 242.250i | −0.460679 | − | 0.531250i | ||||
\(457\) | 540.684 | + | 107.549i | 1.18312 | + | 0.235336i | 0.747168 | − | 0.664636i | \(-0.231413\pi\) |
0.435948 | + | 0.899972i | \(0.356413\pi\) | |||||||
\(458\) | −24.8351 | − | 176.297i | −0.0542251 | − | 0.384929i | ||||
\(459\) | −32.7990 | + | 3.23042i | −0.0714575 | + | 0.00703795i | ||||
\(460\) | 1122.60 | + | 484.348i | 2.44043 | + | 1.05293i | ||||
\(461\) | −250.564 | + | 76.0078i | −0.543523 | + | 0.164876i | −0.550094 | − | 0.835102i | \(-0.685408\pi\) |
0.00657122 | + | 0.999978i | \(0.497908\pi\) | |||||||
\(462\) | 133.969 | + | 183.424i | 0.289976 | + | 0.397023i | ||||
\(463\) | −5.25187 | − | 12.6791i | −0.0113431 | − | 0.0273848i | 0.918106 | − | 0.396334i | \(-0.129718\pi\) |
−0.929450 | + | 0.368949i | \(0.879718\pi\) | |||||||
\(464\) | −841.305 | + | 58.0786i | −1.81316 | + | 0.125169i | ||||
\(465\) | −780.918 | − | 323.467i | −1.67939 | − | 0.695627i | ||||
\(466\) | 744.040 | − | 180.600i | 1.59665 | − | 0.387555i | ||||
\(467\) | −709.162 | − | 379.055i | −1.51855 | − | 0.811681i | −0.519465 | − | 0.854492i | \(-0.673869\pi\) |
−0.999083 | + | 0.0428104i | \(0.986369\pi\) | |||||||
\(468\) | 1053.48 | + | 726.422i | 2.25103 | + | 1.55218i | ||||
\(469\) | −220.532 | + | 268.719i | −0.470217 | + | 0.572961i | ||||
\(470\) | −26.2533 | − | 44.5363i | −0.0558580 | − | 0.0947580i | ||||
\(471\) | 189.980 | + | 284.326i | 0.403355 | + | 0.603664i | ||||
\(472\) | −174.437 | + | 39.6489i | −0.369570 | + | 0.0840019i | ||||
\(473\) | 17.0750 | − | 25.5546i | 0.0360995 | − | 0.0540266i | ||||
\(474\) | −284.802 | + | 254.361i | −0.600848 | + | 0.536626i | ||||
\(475\) | 372.218 | − | 198.954i | 0.783616 | − | 0.418851i | ||||
\(476\) | 6.45791 | + | 8.10794i | 0.0135670 | + | 0.0170335i | ||||
\(477\) | 724.565 | + | 71.3634i | 1.51900 | + | 0.149609i | ||||
\(478\) | 330.789 | − | 359.648i | 0.692026 | − | 0.752402i | ||||
\(479\) | 83.3076 | − | 83.3076i | 0.173920 | − | 0.173920i | −0.614779 | − | 0.788699i | \(-0.710755\pi\) |
0.788699 | + | 0.614779i | \(0.210755\pi\) | |||||||
\(480\) | 1402.73 | − | 297.331i | 2.92236 | − | 0.619439i | ||||
\(481\) | −559.550 | + | 559.550i | −1.16331 | + | 1.16331i | ||||
\(482\) | −609.717 | + | 25.4856i | −1.26497 | + | 0.0528748i | ||||
\(483\) | −529.196 | − | 52.1213i | −1.09564 | − | 0.107912i | ||||
\(484\) | −233.034 | − | 128.976i | −0.481476 | − | 0.266480i | ||||
\(485\) | −613.242 | + | 327.785i | −1.26442 | + | 0.675845i | ||||
\(486\) | −12.9392 | + | 229.176i | −0.0266240 | + | 0.471556i | ||||
\(487\) | −40.1604 | + | 60.1042i | −0.0824648 | + | 0.123417i | −0.870409 | − | 0.492329i | \(-0.836146\pi\) |
0.787944 | + | 0.615747i | \(0.211146\pi\) | |||||||
\(488\) | 186.479 | − | 487.207i | 0.382130 | − | 0.998375i | ||||
\(489\) | −346.298 | − | 518.272i | −0.708176 | − | 1.05986i | ||||
\(490\) | 175.954 | − | 681.273i | 0.359090 | − | 1.39035i | ||||
\(491\) | 172.577 | − | 210.285i | 0.351480 | − | 0.428280i | −0.567018 | − | 0.823705i | \(-0.691903\pi\) |
0.918498 | + | 0.395426i | \(0.129403\pi\) | |||||||
\(492\) | −328.077 | + | 212.341i | −0.666824 | + | 0.431587i | ||||
\(493\) | 39.6147 | + | 21.1745i | 0.0803543 | + | 0.0429503i | ||||
\(494\) | 158.407 | − | 259.956i | 0.320662 | − | 0.526228i | ||||
\(495\) | −1003.43 | − | 415.636i | −2.02714 | − | 0.839669i | ||||
\(496\) | −174.948 | + | 245.939i | −0.352717 | + | 0.495846i | ||||
\(497\) | −41.0532 | − | 99.1111i | −0.0826020 | − | 0.199419i | ||||
\(498\) | 51.3908 | − | 329.813i | 0.103194 | − | 0.662276i | ||||
\(499\) | 281.953 | − | 85.5296i | 0.565037 | − | 0.171402i | 0.00517299 | − | 0.999987i | \(-0.498353\pi\) |
0.559864 | + | 0.828585i | \(0.310853\pi\) | |||||||
\(500\) | −14.6597 | + | 1002.30i | −0.0293194 | + | 2.00459i | ||||
\(501\) | 750.042 | − | 73.8727i | 1.49709 | − | 0.147451i | ||||
\(502\) | −315.036 | − | 237.237i | −0.627561 | − | 0.472583i | ||||
\(503\) | 214.260 | + | 42.6189i | 0.425964 | + | 0.0847295i | 0.403417 | − | 0.915016i | \(-0.367822\pi\) |
0.0225469 | + | 0.999746i | \(0.492822\pi\) | |||||||
\(504\) | −351.617 | + | 200.401i | −0.697653 | + | 0.397621i | ||||
\(505\) | −744.445 | + | 148.079i | −1.47415 | + | 0.293226i | ||||
\(506\) | −481.008 | + | 168.150i | −0.950609 | + | 0.332312i | ||||
\(507\) | −295.035 | + | 972.599i | −0.581922 | + | 1.91834i | ||||
\(508\) | 487.183 | − | 576.239i | 0.959022 | − | 1.13433i | ||||
\(509\) | 190.890 | + | 232.600i | 0.375030 | + | 0.456975i | 0.925985 | − | 0.377560i | \(-0.123237\pi\) |
−0.550956 | + | 0.834535i | \(0.685737\pi\) | |||||||
\(510\) | −71.7215 | − | 26.2555i | −0.140630 | − | 0.0514814i | ||||
\(511\) | 129.430i | 0.253288i | ||||||||
\(512\) | 8.56311 | − | 511.928i | 0.0167248 | − | 0.999860i | ||||
\(513\) | −306.122 | −0.596729 | ||||||||
\(514\) | −189.578 | + | 517.864i | −0.368829 | + | 1.00752i | ||||
\(515\) | 38.7186 | − | 31.7755i | 0.0751817 | − | 0.0617000i | ||||
\(516\) | 64.4410 | + | 54.4818i | 0.124886 | + | 0.105585i | ||||
\(517\) | 20.6184 | + | 6.25453i | 0.0398809 | + | 0.0120977i | ||||
\(518\) | −82.5886 | − | 236.252i | −0.159437 | − | 0.456085i | ||||
\(519\) | −99.9751 | − | 502.609i | −0.192630 | − | 0.968418i | ||||
\(520\) | 674.078 | + | 1182.72i | 1.29630 | + | 2.27445i | ||||
\(521\) | 148.851 | − | 748.324i | 0.285702 | − | 1.43632i | −0.525119 | − | 0.851029i | \(-0.675979\pi\) |
0.810821 | − | 0.585294i | \(-0.199021\pi\) | |||||||
\(522\) | −1055.03 | + | 1401.01i | −2.02112 | + | 2.68393i | ||||
\(523\) | 41.7793 | + | 424.192i | 0.0798839 | + | 0.811075i | 0.948750 | + | 0.316028i | \(0.102349\pi\) |
−0.868866 | + | 0.495047i | \(0.835151\pi\) | |||||||
\(524\) | 248.407 | + | 3.63324i | 0.474059 | + | 0.00693366i | ||||
\(525\) | −238.287 | − | 785.528i | −0.453881 | − | 1.49624i | ||||
\(526\) | −155.348 | − | 24.2060i | −0.295339 | − | 0.0460190i | ||||
\(527\) | 14.8524 | − | 6.15208i | 0.0281830 | − | 0.0116738i | ||||
\(528\) | −346.400 | + | 486.966i | −0.656061 | + | 0.922284i | ||||
\(529\) | 254.070 | − | 613.378i | 0.480283 | − | 1.15950i | ||||
\(530\) | 661.412 | + | 403.038i | 1.24795 | + | 0.760450i | ||||
\(531\) | −175.374 | + | 328.101i | −0.330270 | + | 0.617893i | ||||
\(532\) | 52.3128 | + | 80.8260i | 0.0983323 | + | 0.151929i | ||||
\(533\) | −286.801 | − | 235.372i | −0.538089 | − | 0.441598i | ||||
\(534\) | −743.746 | − | 192.089i | −1.39278 | − | 0.359718i | ||||
\(535\) | −992.696 | + | 663.298i | −1.85551 | + | 1.23981i | ||||
\(536\) | −854.174 | − | 326.936i | −1.59361 | − | 0.609956i | ||||
\(537\) | 758.862 | + | 507.055i | 1.41315 | + | 0.944237i | ||||
\(538\) | 731.656 | + | 41.3092i | 1.35996 | + | 0.0767829i | ||||
\(539\) | 138.237 | + | 258.623i | 0.256470 | + | 0.479821i | ||||
\(540\) | 662.903 | − | 1197.73i | 1.22760 | − | 2.21803i | ||||
\(541\) | 39.8328 | − | 404.430i | 0.0736282 | − | 0.747559i | −0.885510 | − | 0.464621i | \(-0.846191\pi\) |
0.959138 | − | 0.282939i | \(-0.0913093\pi\) | |||||||
\(542\) | 21.3743 | + | 511.357i | 0.0394360 | + | 0.943463i | ||||
\(543\) | −212.631 | − | 212.631i | −0.391585 | − | 0.391585i | ||||
\(544\) | −14.8661 | + | 22.8635i | −0.0273274 | + | 0.0420284i | ||||
\(545\) | −712.638 | − | 712.638i | −1.30759 | − | 1.30759i | ||||
\(546\) | −435.783 | − | 400.814i | −0.798137 | − | 0.734091i | ||||
\(547\) | −103.390 | + | 1049.73i | −0.189012 | + | 1.91907i | 0.169473 | + | 0.985535i | \(0.445793\pi\) |
−0.358485 | + | 0.933535i | \(0.616707\pi\) | |||||||
\(548\) | −70.9080 | + | 56.4776i | −0.129394 | + | 0.103061i | ||||
\(549\) | −511.432 | − | 956.822i | −0.931570 | − | 1.74285i | ||||
\(550\) | −523.971 | − | 586.677i | −0.952674 | − | 1.06669i | ||||
\(551\) | 346.905 | + | 231.795i | 0.629592 | + | 0.420680i | ||||
\(552\) | −310.090 | − | 1364.25i | −0.561758 | − | 2.47147i | ||||
\(553\) | 95.3329 | − | 63.6994i | 0.172392 | − | 0.115189i | ||||
\(554\) | −530.628 | + | 312.795i | −0.957812 | + | 0.564611i | ||||
\(555\) | 1425.49 | + | 1169.87i | 2.56846 | + | 2.10788i | ||||
\(556\) | −6.37209 | + | 9.24103i | −0.0114606 | + | 0.0166206i | ||||
\(557\) | −273.928 | + | 512.483i | −0.491792 | + | 0.920078i | 0.506533 | + | 0.862221i | \(0.330927\pi\) |
−0.998325 | + | 0.0578572i | \(0.981573\pi\) | |||||||
\(558\) | 148.059 | + | 609.975i | 0.265339 | + | 1.09315i | ||||
\(559\) | −30.6585 | + | 74.0161i | −0.0548452 | + | 0.132408i | ||||
\(560\) | −429.523 | + | 29.6516i | −0.767005 | + | 0.0529493i | ||||
\(561\) | 29.4082 | − | 12.1813i | 0.0524210 | − | 0.0217135i | ||||
\(562\) | 144.456 | − | 105.507i | 0.257040 | − | 0.187736i | ||||
\(563\) | 56.5899 | + | 186.552i | 0.100515 | + | 0.331353i | 0.992747 | − | 0.120224i | \(-0.0383614\pi\) |
−0.892232 | + | 0.451578i | \(0.850861\pi\) | |||||||
\(564\) | −23.4358 | + | 54.3182i | −0.0415528 | + | 0.0963089i | ||||
\(565\) | −2.43703 | − | 24.7436i | −0.00431333 | − | 0.0437940i | ||||
\(566\) | 573.961 | − | 80.8542i | 1.01407 | − | 0.142852i | ||||
\(567\) | −27.3299 | + | 137.397i | −0.0482009 | + | 0.242323i | ||||
\(568\) | 213.238 | − | 184.912i | 0.375419 | − | 0.325549i | ||||
\(569\) | −140.162 | − | 704.643i | −0.246331 | − | 1.23839i | −0.883783 | − | 0.467898i | \(-0.845012\pi\) |
0.637452 | − | 0.770490i | \(-0.279988\pi\) | |||||||
\(570\) | −639.062 | − | 307.992i | −1.12116 | − | 0.540337i | ||||
\(571\) | 602.720 | + | 182.833i | 1.05555 | + | 0.320198i | 0.769919 | − | 0.638141i | \(-0.220296\pi\) |
0.285632 | + | 0.958339i | \(0.407796\pi\) | |||||||
\(572\) | −540.459 | − | 172.617i | −0.944859 | − | 0.301778i | ||||
\(573\) | −1288.05 | + | 1057.07i | −2.24790 | + | 1.84480i | ||||
\(574\) | 106.440 | − | 49.3931i | 0.185435 | − | 0.0860507i | ||||
\(575\) | 1841.51 | 3.20262 | ||||||||
\(576\) | −792.686 | − | 710.959i | −1.37619 | − | 1.23430i | ||||
\(577\) | 844.999i | 1.46447i | 0.681053 | + | 0.732234i | \(0.261522\pi\) | ||||
−0.681053 | + | 0.732234i | \(0.738478\pi\) | |||||||
\(578\) | −522.981 | + | 242.688i | −0.904812 | + | 0.419875i | ||||
\(579\) | 1055.51 | + | 1286.14i | 1.82299 | + | 2.22131i | ||||
\(580\) | −1658.14 | + | 855.354i | −2.85886 | + | 1.47475i | ||||
\(581\) | −29.0939 | + | 95.9098i | −0.0500756 | + | 0.165077i | ||||
\(582\) | 716.785 | + | 345.450i | 1.23159 | + | 0.593557i | ||||
\(583\) | −316.599 | + | 62.9755i | −0.543052 | + | 0.108020i | ||||
\(584\) | −323.064 | + | 107.661i | −0.553192 | + | 0.184350i | ||||
\(585\) | 2776.74 | + | 552.329i | 4.74657 | + | 0.944151i | ||||
\(586\) | −591.792 | + | 83.3660i | −1.00988 | + | 0.142263i | ||||
\(587\) | 389.942 | − | 38.4059i | 0.664296 | − | 0.0654275i | 0.239751 | − | 0.970834i | \(-0.422934\pi\) |
0.424545 | + | 0.905407i | \(0.360434\pi\) | |||||||
\(588\) | −748.299 | + | 297.210i | −1.27262 | + | 0.505460i | ||||
\(589\) | 142.891 | − | 43.3455i | 0.242599 | − | 0.0735918i | ||||
\(590\) | −319.603 | + | 233.431i | −0.541700 | + | 0.395645i | ||||
\(591\) | 473.089 | + | 1142.14i | 0.800489 | + | 1.93255i | ||||
\(592\) | 520.999 | − | 402.660i | 0.880066 | − | 0.680170i | ||||
\(593\) | −292.298 | − | 121.074i | −0.492913 | − | 0.204171i | 0.122359 | − | 0.992486i | \(-0.460954\pi\) |
−0.615272 | + | 0.788315i | \(0.710954\pi\) | |||||||
\(594\) | 134.577 | + | 554.433i | 0.226561 | + | 0.933389i | ||||
\(595\) | 20.2250 | + | 10.8105i | 0.0339916 | + | 0.0181689i | ||||
\(596\) | −33.5191 | − | 182.415i | −0.0562400 | − | 0.306065i | ||||
\(597\) | −47.5447 | + | 57.9333i | −0.0796393 | + | 0.0970408i | ||||
\(598\) | 1144.23 | − | 674.503i | 1.91343 | − | 1.12793i | ||||
\(599\) | 189.146 | + | 283.077i | 0.315769 | + | 0.472582i | 0.955072 | − | 0.296373i | \(-0.0957771\pi\) |
−0.639303 | + | 0.768955i | \(0.720777\pi\) | |||||||
\(600\) | 1762.51 | − | 1248.18i | 2.93751 | − | 2.08030i | ||||
\(601\) | −19.5120 | + | 29.2018i | −0.0324659 | + | 0.0485887i | −0.847348 | − | 0.531039i | \(-0.821802\pi\) |
0.814882 | + | 0.579627i | \(0.196802\pi\) | |||||||
\(602\) | −16.8781 | − | 18.8980i | −0.0280367 | − | 0.0313920i | ||||
\(603\) | −1677.50 | + | 896.645i | −2.78193 | + | 1.48697i | ||||
\(604\) | 915.652 | + | 103.726i | 1.51598 | + | 0.171731i | ||||
\(605\) | −586.433 | − | 57.7586i | −0.969310 | − | 0.0954687i | ||||
\(606\) | 639.276 | + | 587.978i | 1.05491 | + | 0.970260i | ||||
\(607\) | −559.239 | + | 559.239i | −0.921316 | + | 0.921316i | −0.997123 | − | 0.0758068i | \(-0.975847\pi\) |
0.0758068 | + | 0.997123i | \(0.475847\pi\) | |||||||
\(608\) | −158.232 | + | 197.807i | −0.260249 | + | 0.325340i | ||||
\(609\) | 573.798 | − | 573.798i | 0.942197 | − | 0.942197i | ||||
\(610\) | −48.2012 | − | 1153.16i | −0.0790184 | − | 1.89043i | ||||
\(611\) | −55.8937 | − | 5.50505i | −0.0914790 | − | 0.00900989i | ||||
\(612\) | 15.6685 | + | 54.5095i | 0.0256021 | + | 0.0890678i | ||||
\(613\) | 804.204 | − | 429.856i | 1.31191 | − | 0.701233i | 0.340866 | − | 0.940112i | \(-0.389280\pi\) |
0.971049 | + | 0.238879i | \(0.0767799\pi\) | |||||||
\(614\) | −1096.04 | − | 61.8823i | −1.78508 | − | 0.100785i | ||||
\(615\) | −480.353 | + | 718.899i | −0.781062 | + | 1.16894i | ||||
\(616\) | 123.390 | − | 130.279i | 0.200309 | − | 0.211492i | ||||
\(617\) | −196.326 | − | 293.822i | −0.318194 | − | 0.476211i | 0.637550 | − | 0.770409i | \(-0.279948\pi\) |
−0.955745 | + | 0.294197i | \(0.904948\pi\) | |||||||
\(618\) | −55.4947 | − | 14.3328i | −0.0897973 | − | 0.0231922i | ||||
\(619\) | 451.133 | − | 549.707i | 0.728810 | − | 0.888057i | −0.268354 | − | 0.963320i | \(-0.586480\pi\) |
0.997164 | + | 0.0752631i | \(0.0239797\pi\) | |||||||
\(620\) | −139.835 | + | 652.940i | −0.225540 | + | 1.05313i | ||||
\(621\) | −1177.96 | − | 629.633i | −1.89688 | − | 1.01390i | ||||
\(622\) | −714.049 | − | 435.113i | −1.14799 | − | 0.699539i | ||||
\(623\) | 213.090 | + | 88.2647i | 0.342038 | + | 0.141677i | ||||
\(624\) | 637.964 | − | 1421.13i | 1.02238 | − | 2.27746i | ||||
\(625\) | 338.601 | + | 817.456i | 0.541762 | + | 1.30793i | ||||
\(626\) | 700.820 | + | 109.200i | 1.11952 | + | 0.174441i | ||||
\(627\) | 282.928 | − | 85.8252i | 0.451241 | − | 0.136882i | ||||
\(628\) | 193.792 | − | 188.205i | 0.308586 | − | 0.299689i | ||||
\(629\) | −34.9041 | + | 3.43775i | −0.0554914 | + | 0.00546543i | ||||
\(630\) | −538.637 | + | 715.276i | −0.854979 | + | 1.13536i | ||||
\(631\) | −744.299 | − | 148.050i | −1.17956 | − | 0.234628i | −0.433901 | − | 0.900961i | \(-0.642863\pi\) |
−0.745655 | + | 0.666333i | \(0.767863\pi\) | |||||||
\(632\) | 238.295 | + | 184.970i | 0.377049 | + | 0.292674i | ||||
\(633\) | −215.275 | + | 42.8209i | −0.340087 | + | 0.0676476i | ||||
\(634\) | −19.4080 | − | 55.5184i | −0.0306120 | − | 0.0875684i | ||||
\(635\) | 484.620 | − | 1597.58i | 0.763182 | − | 2.51587i | ||||
\(636\) | −73.9640 | − | 883.209i | −0.116296 | − | 1.38869i | ||||
\(637\) | −484.936 | − | 590.897i | −0.761281 | − | 0.927624i | ||||
\(638\) | 267.308 | − | 730.199i | 0.418979 | − | 1.14451i | ||||
\(639\) | − | 586.987i | − | 0.918603i | ||||||
\(640\) | −431.290 | − | 1047.44i | −0.673891 | − | 1.63663i | ||||
\(641\) | 705.138 | 1.10006 | 0.550029 | − | 0.835145i | \(-0.314617\pi\) | ||||
0.550029 | + | 0.835145i | \(0.314617\pi\) | |||||||
\(642\) | 1282.92 | + | 469.648i | 1.99832 | + | 0.731538i | ||||
\(643\) | 382.032 | − | 313.526i | 0.594140 | − | 0.487598i | −0.288606 | − | 0.957448i | \(-0.593192\pi\) |
0.882746 | + | 0.469850i | \(0.155692\pi\) | |||||||
\(644\) | 35.0569 | + | 418.617i | 0.0544362 | + | 0.650026i | ||||
\(645\) | 178.658 | + | 54.1952i | 0.276989 | + | 0.0840236i | ||||
\(646\) | 12.7366 | − | 4.45243i | 0.0197161 | − | 0.00689230i | ||||
\(647\) | −214.804 | − | 1079.89i | −0.332000 | − | 1.66908i | −0.681252 | − | 0.732049i | \(-0.738564\pi\) |
0.349252 | − | 0.937029i | \(-0.386436\pi\) | |||||||
\(648\) | −365.682 | + | 46.0704i | −0.564325 | + | 0.0710963i | ||||
\(649\) | 32.1793 | − | 161.776i | 0.0495829 | − | 0.249270i | ||||
\(650\) | 1637.93 | + | 1233.44i | 2.51989 | + | 1.89760i | ||||
\(651\) | −28.4664 | − | 289.024i | −0.0437272 | − | 0.443969i | ||||
\(652\) | −353.246 | + | 343.061i | −0.541788 | + | 0.526168i | ||||
\(653\) | 166.882 | + | 550.138i | 0.255563 | + | 0.842478i | 0.987021 | + | 0.160591i | \(0.0513401\pi\) |
−0.731458 | + | 0.681886i | \(0.761160\pi\) | |||||||
\(654\) | −177.554 | + | 1139.50i | −0.271490 | + | 1.74235i | ||||
\(655\) | 507.802 | − | 210.339i | 0.775271 | − | 0.321128i | ||||
\(656\) | 211.825 | + | 224.594i | 0.322904 | + | 0.342368i | ||||
\(657\) | −271.017 | + | 654.294i | −0.412507 | + | 0.995881i | ||||
\(658\) | 9.24318 | − | 15.1687i | 0.0140474 | − | 0.0230527i | ||||
\(659\) | 327.529 | − | 612.763i | 0.497009 | − | 0.929838i | −0.500919 | − | 0.865494i | \(-0.667005\pi\) |
0.997928 | − | 0.0643435i | \(-0.0204953\pi\) | |||||||
\(660\) | −276.876 | + | 1292.84i | −0.419509 | + | 1.95884i | ||||
\(661\) | 114.511 | + | 93.9769i | 0.173239 | + | 0.142174i | 0.717018 | − | 0.697055i | \(-0.245507\pi\) |
−0.543778 | + | 0.839229i | \(0.683007\pi\) | |||||||
\(662\) | 28.5947 | − | 110.715i | 0.0431945 | − | 0.167244i | ||||
\(663\) | −68.9902 | + | 46.0978i | −0.104058 | + | 0.0695291i | ||||
\(664\) | −263.596 | + | 7.15831i | −0.396982 | + | 0.0107806i | ||||
\(665\) | 177.110 | + | 118.341i | 0.266331 | + | 0.177957i | ||||
\(666\) | 77.1937 | − | 1367.23i | 0.115906 | − | 2.05290i | ||||
\(667\) | 858.139 | + | 1605.46i | 1.28656 | + | 2.40699i | ||||
\(668\) | −164.482 | − | 572.222i | −0.246231 | − | 0.856619i | ||||
\(669\) | 192.189 | − | 1951.33i | 0.287278 | − | 2.91679i | ||||
\(670\) | −2021.73 | + | 84.5066i | −3.01751 | + | 0.126129i | ||||
\(671\) | 340.133 | + | 340.133i | 0.506905 | + | 0.506905i | ||||
\(672\) | 317.293 | + | 376.897i | 0.472163 | + | 0.560858i | ||||
\(673\) | 329.441 | + | 329.441i | 0.489511 | + | 0.489511i | 0.908152 | − | 0.418641i | \(-0.137493\pi\) |
−0.418641 | + | 0.908152i | \(0.637493\pi\) | |||||||
\(674\) | −192.437 | + | 209.226i | −0.285515 | + | 0.310425i | ||||
\(675\) | 202.100 | − | 2051.96i | 0.299408 | − | 3.03994i | ||||
\(676\) | 797.813 | + | 90.3769i | 1.18020 | + | 0.133694i | ||||
\(677\) | 25.0872 | + | 46.9349i | 0.0370564 | + | 0.0693277i | 0.899768 | − | 0.436369i | \(-0.143736\pi\) |
−0.862712 | + | 0.505696i | \(0.831236\pi\) | |||||||
\(678\) | −21.2200 | + | 18.9519i | −0.0312980 | + | 0.0279527i | ||||
\(679\) | −198.650 | − | 132.734i | −0.292563 | − | 0.195484i | ||||
\(680\) | −10.1603 | + | 59.4748i | −0.0149416 | + | 0.0874629i | ||||
\(681\) | −1015.74 | + | 678.697i | −1.49154 | + | 0.996618i | ||||
\(682\) | −141.323 | − | 239.742i | −0.207219 | − | 0.351527i | ||||
\(683\) | −299.402 | − | 245.713i | −0.438363 | − | 0.359755i | 0.389176 | − | 0.921163i | \(-0.372760\pi\) |
−0.827539 | + | 0.561408i | \(0.810260\pi\) | |||||||
\(684\) | 95.2071 | + | 518.130i | 0.139192 | + | 0.757499i | ||||
\(685\) | −94.5431 | + | 176.878i | −0.138019 | + | 0.258216i | ||||
\(686\) | 524.515 | − | 127.315i | 0.764599 | − | 0.185591i | ||||
\(687\) | −172.489 | + | 416.425i | −0.251076 | + | 0.606150i | ||||
\(688\) | 33.1310 | − | 57.8479i | 0.0481555 | − | 0.0840812i | ||||
\(689\) | 777.391 | − | 322.006i | 1.12829 | − | 0.467353i | ||||
\(690\) | −1825.64 | − | 2499.58i | −2.64585 | − | 3.62259i | ||||
\(691\) | −242.668 | − | 799.969i | −0.351184 | − | 1.15770i | −0.937608 | − | 0.347694i | \(-0.886965\pi\) |
0.586425 | − | 0.810004i | \(-0.300535\pi\) | |||||||
\(692\) | −376.244 | + | 149.437i | −0.543705 | + | 0.215949i | ||||
\(693\) | −36.5777 | − | 371.379i | −0.0527817 | − | 0.535901i | ||||
\(694\) | 4.33682 | + | 30.7859i | 0.00624902 | + | 0.0443600i | ||||
\(695\) | −4.84496 | + | 24.3573i | −0.00697117 | + | 0.0350464i | ||||
\(696\) | 1909.52 | + | 954.940i | 2.74356 | + | 1.37204i | ||||
\(697\) | −3.20812 | − | 16.1283i | −0.00460275 | − | 0.0231396i | ||||
\(698\) | −293.051 | + | 608.060i | −0.419844 | + | 0.871146i | ||||
\(699\) | −1854.90 | − | 562.678i | −2.65365 | − | 0.804976i | ||||
\(700\) | −576.320 | + | 297.296i | −0.823314 | + | 0.424708i | ||||
\(701\) | 570.073 | − | 467.847i | 0.813228 | − | 0.667399i | −0.132922 | − | 0.991126i | \(-0.542436\pi\) |
0.946150 | + | 0.323727i | \(0.104936\pi\) | |||||||
\(702\) | −626.010 | − | 1349.02i | −0.891752 | − | 1.92168i | ||||
\(703\) | −325.770 | −0.463399 | ||||||||
\(704\) | 427.819 | + | 199.622i | 0.607698 | + | 0.283553i | ||||
\(705\) | 130.884i | 0.185650i | ||||||||
\(706\) | −32.8420 | − | 70.7730i | −0.0465184 | − | 0.100245i | ||||
\(707\) | −165.446 | − | 201.597i | −0.234012 | − | 0.285144i | ||||
\(708\) | 431.412 | + | 137.789i | 0.609340 | + | 0.194617i | ||||
\(709\) | 50.1466 | − | 165.311i | 0.0707287 | − | 0.233161i | −0.914448 | − | 0.404703i | \(-0.867375\pi\) |
0.985177 | + | 0.171542i | \(0.0548749\pi\) | |||||||
\(710\) | 271.107 | − | 562.527i | 0.381841 | − | 0.792292i | ||||
\(711\) | 615.307 | − | 122.392i | 0.865411 | − | 0.172141i | ||||
\(712\) | −43.0640 | + | 605.302i | −0.0604832 | + | 0.850143i | ||||
\(713\) | 639.000 | + | 127.105i | 0.896213 | + | 0.178268i | ||||
\(714\) | −3.66059 | − | 25.9855i | −0.00512688 | − | 0.0363943i | ||||
\(715\) | −1249.19 | + | 123.034i | −1.74712 | + | 0.172076i | ||||
\(716\) | 285.628 | − | 662.014i | 0.398922 | − | 0.924601i | ||||
\(717\) | −1183.81 | + | 359.105i | −1.65106 | + | 0.500843i | ||||
\(718\) | 492.666 | + | 674.537i | 0.686164 | + | 0.939466i | ||||
\(719\) | 117.919 | + | 284.682i | 0.164004 | + | 0.395941i | 0.984422 | − | 0.175824i | \(-0.0562589\pi\) |
−0.820417 | + | 0.571765i | \(0.806259\pi\) | |||||||
\(720\) | −2233.40 | − | 749.494i | −3.10195 | − | 1.04096i | ||||
\(721\) | 15.8997 | + | 6.58588i | 0.0220523 | + | 0.00913437i | ||||
\(722\) | −579.841 | + | 140.745i | −0.803104 | + | 0.194937i | ||||
\(723\) | 1362.53 | + | 728.287i | 1.88455 | + | 1.00731i | ||||
\(724\) | −134.853 | + | 195.568i | −0.186260 | + | 0.270121i | ||||
\(725\) | −1782.76 | + | 2172.30i | −2.45898 | + | 2.99628i | ||||
\(726\) | 342.422 | + | 580.887i | 0.471655 | + | 0.800120i | ||||
\(727\) | −454.480 | − | 680.177i | −0.625144 | − | 0.935594i | −0.999964 | − | 0.00849671i | \(-0.997295\pi\) |
0.374820 | − | 0.927098i | \(-0.377705\pi\) | |||||||
\(728\) | −249.207 | + | 395.820i | −0.342318 | + | 0.543708i | ||||
\(729\) | 553.220 | − | 827.952i | 0.758875 | − | 1.13574i | ||||
\(730\) | −561.917 | + | 501.857i | −0.769750 | + | 0.687475i | ||||
\(731\) | −3.13155 | + | 1.67385i | −0.00428392 | + | 0.00228980i | ||||
\(732\) | −1033.07 | + | 822.833i | −1.41130 | + | 1.12409i | ||||
\(733\) | −17.4487 | − | 1.71855i | −0.0238045 | − | 0.00234454i | 0.0861079 | − | 0.996286i | \(-0.472557\pi\) |
−0.109912 | + | 0.993941i | \(0.535057\pi\) | |||||||
\(734\) | −522.485 | + | 568.069i | −0.711833 | + | 0.773936i | ||||
\(735\) | −1259.61 | + | 1259.61i | −1.71376 | + | 1.71376i | ||||
\(736\) | −1015.73 | + | 435.711i | −1.38006 | + | 0.591998i | ||||
\(737\) | 596.323 | − | 596.323i | 0.809123 | − | 0.809123i | ||||
\(738\) | 641.499 | − | 26.8141i | 0.869240 | − | 0.0363335i | ||||
\(739\) | 242.724 | + | 23.9062i | 0.328449 | + | 0.0323495i | 0.260898 | − | 0.965366i | \(-0.415981\pi\) |
0.0675514 | + | 0.997716i | \(0.478481\pi\) | |||||||
\(740\) | 705.449 | − | 1274.61i | 0.953309 | − | 1.72244i | ||||
\(741\) | −679.686 | + | 363.300i | −0.917256 | + | 0.490283i | ||||
\(742\) | −15.0013 | + | 265.699i | −0.0202174 | + | 0.358086i | ||||
\(743\) | −241.093 | + | 360.821i | −0.324486 | + | 0.485627i | −0.957468 | − | 0.288539i | \(-0.906830\pi\) |
0.632983 | + | 0.774166i | \(0.281830\pi\) | |||||||
\(744\) | 697.739 | − | 311.465i | 0.937822 | − | 0.418635i | ||||
\(745\) | −227.971 | − | 341.183i | −0.306001 | − | 0.457963i | ||||
\(746\) | −33.7387 | + | 130.632i | −0.0452261 | + | 0.175110i | ||||
\(747\) | −347.903 | + | 423.921i | −0.465734 | + | 0.567498i | ||||
\(748\) | −13.6633 | − | 21.1105i | −0.0182664 | − | 0.0282225i | ||||
\(749\) | −361.776 | − | 193.373i | −0.483012 | − | 0.258175i | ||||
\(750\) | 1320.55 | − | 2167.11i | 1.76074 | − | 2.88948i | ||||
\(751\) | −1306.63 | − | 541.224i | −1.73985 | − | 0.720671i | −0.998787 | − | 0.0492399i | \(-0.984320\pi\) |
−0.741067 | − | 0.671431i | \(-0.765680\pi\) | |||||||
\(752\) | 45.5502 | + | 10.4541i | 0.0605721 | + | 0.0139017i | ||||
\(753\) | 382.080 | + | 922.422i | 0.507410 | + | 1.22500i | ||||
\(754\) | −312.065 | + | 2002.76i | −0.413880 | + | 2.65618i | ||||
\(755\) | 1950.98 | − | 591.824i | 2.58408 | − | 0.783873i | ||||
\(756\) | 470.305 | + | 6.87875i | 0.622096 | + | 0.00909887i | ||||
\(757\) | 320.953 | − | 31.6111i | 0.423980 | − | 0.0417584i | 0.116222 | − | 0.993223i | \(-0.462921\pi\) |
0.307757 | + | 0.951465i | \(0.400421\pi\) | |||||||
\(758\) | −877.111 | − | 660.506i | −1.15714 | − | 0.871380i | ||||
\(759\) | 1265.24 | + | 251.671i | 1.66698 | + | 0.331582i | ||||
\(760\) | −148.064 | + | 540.512i | −0.194821 | + | 0.711199i | ||||
\(761\) | 419.404 | − | 83.4246i | 0.551122 | − | 0.109625i | 0.0883289 | − | 0.996091i | \(-0.471847\pi\) |
0.462793 | + | 0.886466i | \(0.346847\pi\) | |||||||
\(762\) | −1803.35 | + | 630.414i | −2.36661 | + | 0.827315i | ||||
\(763\) | 100.519 | − | 331.367i | 0.131742 | − | 0.434295i | ||||
\(764\) | 1005.22 | + | 849.868i | 1.31574 | + | 1.11239i | ||||
\(765\) | 79.6047 | + | 96.9987i | 0.104058 | + | 0.126796i | ||||
\(766\) | 1017.41 | + | 372.451i | 1.32822 | + | 0.486228i | ||||
\(767\) | 429.960i | 0.560574i | ||||||||
\(768\) | −676.826 | + | 1105.48i | −0.881284 | + | 1.43943i | ||||
\(769\) | 26.6551 | 0.0346620 | 0.0173310 | − | 0.999850i | \(-0.494483\pi\) | ||||
0.0173310 | + | 0.999850i | \(0.494483\pi\) | |||||||
\(770\) | 136.472 | − | 372.798i | 0.177237 | − | 0.484153i | ||||
\(771\) | 1079.24 | − | 885.712i | 1.39980 | − | 1.14878i | ||||
\(772\) | 848.610 | − | 1003.73i | 1.09924 | − | 1.30017i | ||||
\(773\) | 1252.84 | + | 380.044i | 1.62074 | + | 0.491648i | 0.964761 | − | 0.263128i | \(-0.0847540\pi\) |
0.655984 | + | 0.754775i | \(0.272254\pi\) | |||||||
\(774\) | −45.7508 | − | 130.874i | −0.0591095 | − | 0.169088i | ||||
\(775\) | 196.212 | + | 986.427i | 0.253177 | + | 1.27281i | ||||
\(776\) | 166.072 | − | 606.249i | 0.214010 | − | 0.781248i | ||||
\(777\) | −123.611 | + | 621.433i | −0.159087 | + | 0.799785i | ||||
\(778\) | 472.607 | − | 627.592i | 0.607464 | − | 0.806674i | ||||
\(779\) | −14.9711 | − | 152.004i | −0.0192184 | − | 0.195127i | ||||
\(780\) | 50.4026 | − | 3446.06i | 0.0646188 | − | 4.41803i | ||||
\(781\) | 75.5467 | + | 249.044i | 0.0967307 | + | 0.318879i | ||||
\(782\) | 58.1683 | + | 9.06364i | 0.0743840 | + | 0.0115903i | ||||
\(783\) | 1883.12 | − | 780.013i | 2.40500 | − | 0.996186i | ||||
\(784\) | 337.762 | + | 538.981i | 0.430820 | + | 0.687476i | ||||
\(785\) | 228.718 | − | 552.173i | 0.291360 | − | 0.703405i | ||||
\(786\) | −537.093 | − | 327.283i | −0.683325 | − | 0.416391i | ||||
\(787\) | −595.091 | + | 1113.34i | −0.756151 | + | 1.41466i | 0.148679 | + | 0.988885i | \(0.452498\pi\) |
−0.904830 | + | 0.425773i | \(0.860002\pi\) | |||||||
\(788\) | 819.876 | − | 530.646i | 1.04045 | − | 0.673409i | ||||
\(789\) | 307.688 | + | 252.513i | 0.389972 | + | 0.320041i | ||||
\(790\) | 646.196 | + | 166.895i | 0.817969 | + | 0.211259i | ||||
\(791\) | 7.10307 | − | 4.74612i | 0.00897986 | − | 0.00600015i | ||||
\(792\) | 896.555 | − | 400.214i | 1.13201 | − | 0.505321i | ||||
\(793\) | −1042.55 | − | 696.612i | −1.31470 | − | 0.878452i | ||||
\(794\) | 650.162 | + | 36.7080i | 0.818843 | + | 0.0462318i | ||||
\(795\) | −924.351 | − | 1729.34i | −1.16271 | − | 2.17527i | ||||
\(796\) | 51.8011 | + | 28.6701i | 0.0650768 | + | 0.0360177i | ||||
\(797\) | −5.07123 | + | 51.4890i | −0.00636289 | + | 0.0646035i | −0.997842 | − | 0.0656637i | \(-0.979084\pi\) |
0.991479 | + | 0.130267i | \(0.0415835\pi\) | |||||||
\(798\) | −10.1795 | − | 243.533i | −0.0127562 | − | 0.305179i | ||||
\(799\) | −1.76020 | − | 1.76020i | −0.00220301 | − | 0.00220301i | ||||
\(800\) | −1221.45 | − | 1191.23i | −1.52681 | − | 1.48904i | ||||
\(801\) | 892.389 | + | 892.389i | 1.11409 | + | 1.11409i | ||||
\(802\) | −909.084 | − | 836.136i | −1.13352 | − | 1.04256i | ||||
\(803\) | 30.7767 | − | 312.481i | 0.0383272 | − | 0.389142i | ||||
\(804\) | 1442.59 | + | 1811.18i | 1.79427 | + | 2.25272i | ||||
\(805\) | 438.117 | + | 819.659i | 0.544244 | + | 1.01821i | ||||
\(806\) | 483.224 | + | 541.054i | 0.599533 | + | 0.671283i | ||||
\(807\) | −1542.60 | − | 1030.73i | −1.91152 | − | 1.27724i | ||||
\(808\) | 365.577 | − | 580.652i | 0.452447 | − | 0.718628i | ||||
\(809\) | −348.409 | + | 232.800i | −0.430667 | + | 0.287762i | −0.751949 | − | 0.659221i | \(-0.770886\pi\) |
0.321283 | + | 0.946983i | \(0.395886\pi\) | |||||||
\(810\) | −702.474 | + | 414.095i | −0.867252 | + | 0.511228i | ||||
\(811\) | −267.775 | − | 219.757i | −0.330179 | − | 0.270971i | 0.454668 | − | 0.890661i | \(-0.349758\pi\) |
−0.784846 | + | 0.619691i | \(0.787258\pi\) | |||||||
\(812\) | −527.752 | − | 363.908i | −0.649941 | − | 0.448163i | ||||
\(813\) | 610.799 | − | 1142.73i | 0.751291 | − | 1.40557i | ||||
\(814\) | 143.215 | + | 590.018i | 0.175940 | + | 0.724837i | ||||
\(815\) | −416.909 | + | 1006.51i | −0.511545 | + | 1.23498i | ||||
\(816\) | 61.8162 | − | 30.7519i | 0.0757552 | − | 0.0376861i | ||||
\(817\) | −30.4707 | + | 12.6214i | −0.0372958 | + | 0.0154484i | ||||
\(818\) | −128.866 | + | 94.1208i | −0.157538 | + | 0.115062i | ||||
\(819\) | 282.375 | + | 930.866i | 0.344780 | + | 1.13659i | ||||
\(820\) | 627.152 | + | 270.587i | 0.764819 | + | 0.329984i | ||||
\(821\) | −9.34587 | − | 94.8902i | −0.0113835 | − | 0.115579i | 0.987814 | − | 0.155641i | \(-0.0497443\pi\) |
−0.999197 | + | 0.0400624i | \(0.987244\pi\) | |||||||
\(822\) | 227.256 | − | 32.0137i | 0.276468 | − | 0.0389461i | ||||
\(823\) | 263.773 | − | 1326.08i | 0.320502 | − | 1.61127i | −0.399116 | − | 0.916901i | \(-0.630683\pi\) |
0.719618 | − | 0.694371i | \(-0.244317\pi\) | |||||||
\(824\) | −3.21323 | + | 45.1646i | −0.00389955 | + | 0.0548115i | ||||
\(825\) | 388.505 | + | 1953.15i | 0.470916 | + | 2.36745i | ||||
\(826\) | −122.499 | − | 59.0378i | −0.148304 | − | 0.0714743i | ||||
\(827\) | 9.10385 | + | 2.76162i | 0.0110083 | + | 0.00333933i | 0.295784 | − | 0.955255i | \(-0.404419\pi\) |
−0.284776 | + | 0.958594i | \(0.591919\pi\) | |||||||
\(828\) | −699.333 | + | 2189.59i | −0.844606 | + | 2.64443i | ||||
\(829\) | −504.567 | + | 414.087i | −0.608645 | + | 0.499502i | −0.887486 | − | 0.460835i | \(-0.847550\pi\) |
0.278840 | + | 0.960337i | \(0.410050\pi\) | |||||||
\(830\) | −529.199 | + | 245.573i | −0.637589 | + | 0.295871i | ||||
\(831\) | 1559.41 | 1.87655 | ||||||||
\(832\) | −1195.28 | − | 292.789i | −1.43663 | − | 0.351910i | ||||
\(833\) | − | 33.8801i | − | 0.0406724i | ||||||
\(834\) | 25.7778 | − | 11.9621i | 0.0309086 | − | 0.0143431i | ||||
\(835\) | −835.663 | − | 1018.26i | −1.00079 | − | 1.21947i | ||||
\(836\) | −107.079 | − | 207.576i | −0.128084 | − | 0.248297i | ||||
\(837\) | 211.759 | − | 698.077i | 0.252998 | − | 0.834023i | ||||
\(838\) | −1217.02 | − | 586.536i | −1.45229 | − | 0.699924i | ||||
\(839\) | −1110.38 | + | 220.868i | −1.32345 | + | 0.263252i | −0.805724 | − | 0.592292i | \(-0.798223\pi\) |
−0.517731 | + | 0.855543i | \(0.673223\pi\) | |||||||
\(840\) | 974.890 | + | 487.538i | 1.16058 | + | 0.580403i | ||||
\(841\) | −1899.78 | − | 377.890i | −2.25895 | − | 0.449334i | ||||
\(842\) | 731.352 | − | 103.026i | 0.868589 | − | 0.122359i | ||||
\(843\) | −450.696 | + | 44.3897i | −0.534633 | + | 0.0526568i | ||||
\(844\) | 64.0062 | + | 161.151i | 0.0758367 | + | 0.190937i | ||||
\(845\) | 1699.90 | − | 515.660i | 2.01172 | − | 0.610248i | ||||
\(846\) | 78.4880 | − | 57.3258i | 0.0927754 | − | 0.0677610i | ||||
\(847\) | −77.4809 | − | 187.055i | −0.0914768 | − | 0.220845i | ||||
\(848\) | −675.677 | + | 183.566i | −0.796789 | + | 0.216469i | ||||
\(849\) | −1355.73 | − | 561.562i | −1.59686 | − | 0.661440i | ||||
\(850\) | 21.4363 | + | 88.3137i | 0.0252192 | + | 0.103898i | ||||
\(851\) | −1253.57 | − | 670.045i | −1.47305 | − | 0.787361i | ||||
\(852\) | −702.790 | + | 129.139i | −0.824871 | + | 0.151571i | ||||
\(853\) | −158.154 | + | 192.711i | −0.185409 | + | 0.225921i | −0.857417 | − | 0.514622i | \(-0.827932\pi\) |
0.672008 | + | 0.740544i | \(0.265432\pi\) | |||||||
\(854\) | 341.623 | − | 201.380i | 0.400027 | − | 0.235808i | ||||
\(855\) | 647.526 | + | 969.091i | 0.757340 | + | 1.13344i | ||||
\(856\) | 181.742 | − | 1063.86i | 0.212316 | − | 1.24283i | ||||
\(857\) | −616.721 | + | 922.988i | −0.719628 | + | 1.07700i | 0.273716 | + | 0.961811i | \(0.411747\pi\) |
−0.993344 | + | 0.115189i | \(0.963253\pi\) | |||||||
\(858\) | 956.794 | + | 1071.30i | 1.11515 | + | 1.24860i | ||||
\(859\) | 375.791 | − | 200.865i | 0.437475 | − | 0.233835i | −0.237930 | − | 0.971282i | \(-0.576469\pi\) |
0.675405 | + | 0.737447i | \(0.263969\pi\) | |||||||
\(860\) | 16.6014 | − | 146.551i | 0.0193040 | − | 0.170408i | ||||
\(861\) | −295.642 | − | 29.1182i | −0.343370 | − | 0.0338190i | ||||
\(862\) | 359.861 | + | 330.984i | 0.417472 | + | 0.383972i | ||||
\(863\) | −35.4487 | + | 35.4487i | −0.0410761 | + | 0.0410761i | −0.727347 | − | 0.686270i | \(-0.759247\pi\) |
0.686270 | + | 0.727347i | \(0.259247\pi\) | |||||||
\(864\) | 374.032 | + | 1179.62i | 0.432907 | + | 1.36531i | ||||
\(865\) | −633.332 | + | 633.332i | −0.732176 | + | 0.732176i | ||||
\(866\) | −18.4821 | − | 442.163i | −0.0213419 | − | 0.510581i | ||||
\(867\) | 1452.60 | + | 143.069i | 1.67544 | + | 0.165016i | ||||
\(868\) | −220.502 | + | 63.3822i | −0.254035 | + | 0.0730210i | ||||
\(869\) | −245.307 | + | 131.120i | −0.282287 | + | 0.150886i | ||||
\(870\) | 4715.99 | + | 266.264i | 5.42068 | + | 0.306050i | ||||
\(871\) | −1221.30 | + | 1827.81i | −1.40219 | + | 2.09852i | ||||
\(872\) | 910.719 | − | 24.7319i | 1.04440 | − | 0.0283622i | ||||
\(873\) | −726.278 | − | 1086.95i | −0.831934 | − | 1.24508i | ||||
\(874\) | 529.433 | + | 136.738i | 0.605759 | + | 0.156451i | ||||
\(875\) | −483.404 | + | 589.029i | −0.552461 | + | 0.673176i | ||||
\(876\) | 842.999 | + | 180.538i | 0.962328 | + | 0.206094i | ||||
\(877\) | −252.095 | − | 134.747i | −0.287451 | − | 0.153646i | 0.321369 | − | 0.946954i | \(-0.395857\pi\) |
−0.608820 | + | 0.793308i | \(0.708357\pi\) | |||||||
\(878\) | 774.444 | + | 471.916i | 0.882055 | + | 0.537490i | ||||
\(879\) | 1397.85 | + | 579.008i | 1.59027 | + | 0.658712i | ||||
\(880\) | 1044.04 | + | 30.5471i | 1.18641 | + | 0.0347126i | ||||
\(881\) | −263.623 | − | 636.443i | −0.299232 | − | 0.722410i | −0.999960 | − | 0.00898093i | \(-0.997141\pi\) |
0.700728 | − | 0.713429i | \(-0.252859\pi\) | |||||||
\(882\) | 1307.06 | + | 203.663i | 1.48193 | + | 0.230911i | ||||
\(883\) | −325.816 | + | 98.8352i | −0.368987 | + | 0.111931i | −0.469332 | − | 0.883022i | \(-0.655505\pi\) |
0.100345 | + | 0.994953i | \(0.468005\pi\) | |||||||
\(884\) | 45.6669 | + | 47.0226i | 0.0516594 | + | 0.0531930i | ||||
\(885\) | 997.145 | − | 98.2102i | 1.12672 | − | 0.110972i | ||||
\(886\) | 15.7838 | − | 20.9600i | 0.0178147 | − | 0.0236568i | ||||
\(887\) | 654.056 | + | 130.100i | 0.737380 | + | 0.146674i | 0.549472 | − | 0.835512i | \(-0.314829\pi\) |
0.187909 | + | 0.982186i | \(0.439829\pi\) | |||||||
\(888\) | −1653.95 | + | 208.372i | −1.86255 | + | 0.234653i | ||||
\(889\) | 562.590 | − | 111.906i | 0.632834 | − | 0.125879i | ||||
\(890\) | 443.043 | + | 1267.36i | 0.497801 | + | 1.42400i | ||||
\(891\) | 98.6533 | − | 325.216i | 0.110722 | − | 0.365001i | ||||
\(892\) | −1543.59 | + | 129.267i | −1.73048 | + | 0.144918i | ||||
\(893\) | −14.6681 | − | 17.8731i | −0.0164256 | − | 0.0200147i | ||||
\(894\) | −161.415 | + | 440.932i | −0.180553 | + | 0.493212i | ||||
\(895\) | − | 1595.17i | − | 1.78231i | ||||||
\(896\) | 247.541 | − | 300.341i | 0.276273 | − | 0.335202i | ||||
\(897\) | −3362.68 | −3.74881 | ||||||||
\(898\) | −192.789 | − | 70.5753i | −0.214687 | − | 0.0785917i | ||||
\(899\) | −768.552 | + | 630.735i | −0.854897 | + | 0.701596i | ||||
\(900\) | −3535.92 | + | 296.114i | −3.92880 | + | 0.329016i | ||||
\(901\) | 35.6884 | + | 10.8260i | 0.0396098 | + | 0.0120155i | ||||
\(902\) | −268.721 | + | 93.9390i | −0.297917 | + | 0.104145i | ||||
\(903\) | 12.5145 | + | 62.9146i | 0.0138588 | + | 0.0696728i | ||||
\(904\) | 17.7549 | + | 13.7818i | 0.0196404 | + | 0.0152453i | ||||
\(905\) | −102.534 | + | 515.473i | −0.113297 | + | 0.569583i | ||||
\(906\) | −1863.64 | − | 1403.41i | −2.05700 | − | 1.54902i | ||||
\(907\) | 1.48851 | + | 15.1131i | 0.00164114 | + | 0.0166628i | 0.995970 | − | 0.0896823i | \(-0.0285852\pi\) |
−0.994329 | + | 0.106345i | \(0.966085\pi\) | |||||||
\(908\) | 672.354 | + | 692.313i | 0.740477 | + | 0.762460i | ||||
\(909\) | −414.233 | − | 1365.54i | −0.455702 | − | 1.50225i | ||||
\(910\) | −159.323 | + | 1022.49i | −0.175080 | + | 1.12362i | ||||
\(911\) | −1439.81 | + | 596.391i | −1.58048 | + | 0.654655i | −0.988489 | − | 0.151292i | \(-0.951657\pi\) |
−0.591988 | + | 0.805947i | \(0.701657\pi\) | |||||||
\(912\) | 599.402 | − | 227.980i | 0.657239 | − | 0.249978i | ||||
\(913\) | 93.0470 | − | 224.635i | 0.101913 | − | 0.246041i | ||||
\(914\) | −573.726 | + | 941.521i | −0.627709 | + | 1.03011i | ||||
\(915\) | −1377.42 | + | 2576.96i | −1.50537 | + | 2.81635i | ||||
\(916\) | 348.181 | + | 74.5670i | 0.380110 | + | 0.0814050i | ||||
\(917\) | 145.984 | + | 119.806i | 0.159197 | + | 0.130650i | ||||
\(918\) | 16.4833 | − | 63.8211i | 0.0179556 | − | 0.0695219i | ||||
\(919\) | −755.717 | + | 504.954i | −0.822325 | + | 0.549460i | −0.894051 | − | 0.447964i | \(-0.852149\pi\) |
0.0717265 | + | 0.997424i | \(0.477149\pi\) | |||||||
\(920\) | −1681.48 | + | 1775.36i | −1.82770 | + | 1.92973i | ||||
\(921\) | 2310.86 | + | 1544.07i | 2.50907 | + | 1.67651i | ||||
\(922\) | 29.5197 | − | 522.845i | 0.0320171 | − | 0.567077i | ||||
\(923\) | −319.791 | − | 598.287i | −0.346469 | − | 0.648198i | ||||
\(924\) | −436.599 | + | 125.498i | −0.472510 | + | 0.135821i | ||||
\(925\) | 215.072 | − | 2183.66i | 0.232510 | − | 2.36071i | ||||
\(926\) | 27.4237 | − | 1.14629i | 0.0296152 | − | 0.00123789i | ||||
\(927\) | 66.5857 | + | 66.5857i | 0.0718292 | + | 0.0718292i | ||||
\(928\) | 469.346 | − | 1620.00i | 0.505761 | − | 1.74568i | ||||
\(929\) | 934.677 | + | 934.677i | 1.00611 | + | 1.00611i | 0.999981 | + | 0.00613016i | \(0.00195130\pi\) |
0.00613016 | + | 0.999981i | \(0.498049\pi\) | |||||||
\(930\) | 1144.41 | − | 1244.26i | 1.23055 | − | 1.33791i | ||||
\(931\) | 30.8450 | − | 313.174i | 0.0331310 | − | 0.336385i | ||||
\(932\) | −172.363 | + | 1521.56i | −0.184939 | + | 1.63257i | ||||
\(933\) | 997.913 | + | 1866.96i | 1.06957 | + | 2.00103i | ||||
\(934\) | 1199.48 | − | 1071.27i | 1.28424 | − | 1.14697i | ||||
\(935\) | −46.2583 | − | 30.9088i | −0.0494741 | − | 0.0330575i | ||||
\(936\) | −2088.60 | + | 1479.12i | −2.23142 | + | 1.58026i | ||||
\(937\) | 204.942 | − | 136.938i | 0.218721 | − | 0.146145i | −0.441383 | − | 0.897319i | \(-0.645512\pi\) |
0.660104 | + | 0.751174i | \(0.270512\pi\) | |||||||
\(938\) | −353.061 | − | 598.936i | −0.376397 | − | 0.638524i | ||||
\(939\) | −1388.07 | − | 1139.16i | −1.47824 | − | 1.21316i | ||||
\(940\) | 101.694 | − | 18.6864i | 0.108185 | − | 0.0198792i | ||||
\(941\) | −276.684 | + | 517.640i | −0.294032 | + | 0.550096i | −0.984950 | − | 0.172837i | \(-0.944707\pi\) |
0.690918 | + | 0.722933i | \(0.257207\pi\) | |||||||
\(942\) | −664.613 | + | 161.321i | −0.705534 | + | 0.171254i | ||||
\(943\) | 255.034 | − | 615.707i | 0.270450 | − | 0.652924i | ||||
\(944\) | 45.4659 | − | 354.872i | 0.0481630 | − | 0.375923i | ||||
\(945\) | 961.413 | − | 398.230i | 1.01737 | − | 0.421408i | ||||
\(946\) | 36.2547 | + | 49.6384i | 0.0383243 | + | 0.0524719i | ||||
\(947\) | 4.79783 | + | 15.8163i | 0.00506635 | + | 0.0167015i | 0.959437 | − | 0.281923i | \(-0.0909722\pi\) |
−0.954371 | + | 0.298624i | \(0.903472\pi\) | |||||||
\(948\) | −281.908 | − | 709.771i | −0.297371 | − | 0.748703i | ||||
\(949\) | 80.2251 | + | 814.539i | 0.0845364 | + | 0.858313i | ||||
\(950\) | 117.747 | + | 835.853i | 0.123944 | + | 0.879845i | ||||
\(951\) | −29.0481 | + | 146.035i | −0.0305448 | + | 0.153559i | ||||
\(952\) | −19.6676 | + | 6.55420i | −0.0206593 | + | 0.00688467i | ||||
\(953\) | −103.087 | − | 518.254i | −0.108171 | − | 0.543813i | −0.996427 | − | 0.0844634i | \(-0.973082\pi\) |
0.888255 | − | 0.459350i | \(-0.151918\pi\) | |||||||
\(954\) | −632.189 | + | 1311.75i | −0.662672 | + | 1.37500i | ||||
\(955\) | 2786.90 | + | 845.397i | 2.91822 | + | 0.885232i | ||||
\(956\) | 448.032 | + | 868.527i | 0.468652 | + | 0.908501i | ||||
\(957\) | −1521.75 | + | 1248.87i | −1.59013 | + | 1.30498i | ||||
\(958\) | 99.1843 | + | 213.737i | 0.103533 | + | 0.223108i | ||||
\(959\) | −68.9102 | −0.0718563 | ||||||||
\(960\) | −406.002 | + | 2838.91i | −0.422918 | + | 2.95720i | ||||
\(961\) | − | 605.169i | − | 0.629728i | ||||||
\(962\) | −666.189 | − | 1435.61i | −0.692504 | − | 1.49231i | ||||
\(963\) | −1423.94 | − | 1735.07i | −1.47864 | − | 1.80173i | ||||
\(964\) | 371.335 | − | 1162.64i | 0.385202 | − | 1.20606i | ||||
\(965\) | 844.146 | − | 2782.78i | 0.874763 | − | 2.88371i | ||||
\(966\) | 461.729 | − | 958.054i | 0.477980 | − | 0.991775i | ||||
\(967\) | 1248.57 | − | 248.357i | 1.29118 | − | 0.256832i | 0.498725 | − | 0.866760i | \(-0.333802\pi\) |
0.792457 | + | 0.609928i | \(0.208802\pi\) | |||||||
\(968\) | 402.450 | − | 348.989i | 0.415754 | − | 0.360526i | ||||
\(969\) | −33.5020 | − | 6.66397i | −0.0345738 | − | 0.00687716i | ||||
\(970\) | −193.993 | − | 1377.10i | −0.199992 | − | 1.41969i | ||||
\(971\) | −26.4311 | + | 2.60324i | −0.0272205 | + | 0.00268099i | −0.111618 | − | 0.993751i | \(-0.535603\pi\) |
0.0843977 | + | 0.996432i | \(0.473103\pi\) | |||||||
\(972\) | −421.522 | − | 181.867i | −0.433665 | − | 0.187106i | ||||
\(973\) | −8.16545 | + | 2.47696i | −0.00839203 | + | 0.00254569i | ||||
\(974\) | −85.2709 | − | 116.749i | −0.0875471 | − | 0.119866i | ||||
\(975\) | −1986.50 | − | 4795.84i | −2.03744 | − | 4.91881i | ||||
\(976\) | 786.818 | + | 685.199i | 0.806166 | + | 0.702048i | ||||
\(977\) | −548.498 | − | 227.195i | −0.561410 | − | 0.232544i | 0.0838872 | − | 0.996475i | \(-0.473266\pi\) |
−0.645297 | + | 0.763932i | \(0.723266\pi\) | |||||||
\(978\) | 1211.46 | − | 294.058i | 1.23871 | − | 0.300673i | ||||
\(979\) | −493.471 | − | 263.766i | −0.504056 | − | 0.269424i | ||||
\(980\) | 1158.53 | + | 798.859i | 1.18218 | + | 0.815162i | ||||
\(981\) | 1202.00 | − | 1464.64i | 1.22528 | − | 1.49301i | ||||
\(982\) | 276.287 | + | 468.696i | 0.281351 | + | 0.477287i | ||||
\(983\) | −591.890 | − | 885.826i | −0.602126 | − | 0.901145i | 0.397740 | − | 0.917498i | \(-0.369795\pi\) |
−0.999866 | + | 0.0163527i | \(0.994795\pi\) | |||||||
\(984\) | −173.236 | − | 762.157i | −0.176052 | − | 0.774549i | ||||
\(985\) | 1200.42 | − | 1796.55i | 1.21870 | − | 1.82391i | ||||
\(986\) | −67.0044 | + | 59.8426i | −0.0679558 | + | 0.0606923i | ||||
\(987\) | −39.6602 | + | 21.1988i | −0.0401826 | + | 0.0214780i | ||||
\(988\) | 379.317 | + | 476.235i | 0.383924 | + | 0.482019i | ||||
\(989\) | −143.211 | − | 14.1051i | −0.144804 | − | 0.0142620i | ||||
\(990\) | 1470.50 | − | 1598.80i | 1.48536 | − | 1.61495i | ||||
\(991\) | 148.459 | − | 148.459i | 0.149807 | − | 0.149807i | −0.628225 | − | 0.778032i | \(-0.716218\pi\) |
0.778032 | + | 0.628225i | \(0.216218\pi\) | |||||||
\(992\) | −341.619 | − | 497.662i | −0.344374 | − | 0.501675i | ||||
\(993\) | −204.703 | + | 204.703i | −0.206146 | + | 0.206146i | ||||
\(994\) | 214.367 | − | 8.96036i | 0.215661 | − | 0.00901445i | ||||
\(995\) | 130.358 | + | 12.8391i | 0.131013 | + | 0.0129036i | ||||
\(996\) | 584.093 | + | 323.275i | 0.586439 | + | 0.324573i | ||||
\(997\) | 144.318 | − | 77.1398i | 0.144753 | − | 0.0773719i | −0.397430 | − | 0.917632i | \(-0.630098\pi\) |
0.542183 | + | 0.840260i | \(0.317598\pi\) | |||||||
\(998\) | −33.2178 | + | 588.344i | −0.0332844 | + | 0.589523i | ||||
\(999\) | −884.194 | + | 1323.29i | −0.885079 | + | 1.32461i |
(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 | 128.3.l.a.3.12 | ✓ | 496 | |
128.43 | odd | 32 | inner | 128.3.l.a.43.12 | yes | 496 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
128.3.l.a.3.12 | ✓ | 496 | 1.1 | even | 1 | trivial | |
128.3.l.a.43.12 | yes | 496 | 128.43 | odd | 32 | inner |