Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(55,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.x (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 55.11 | ||
Character | \(\chi\) | \(=\) | 588.55 |
Dual form | 588.2.x.b.139.11 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.446111 | + | 1.34201i | −0.315448 | + | 0.948943i | ||||
\(3\) | 0.900969 | + | 0.433884i | 0.520175 | + | 0.250503i | ||||
\(4\) | −1.60197 | − | 1.19737i | −0.800985 | − | 0.598685i | ||||
\(5\) | −0.0202251 | + | 0.0419978i | −0.00904493 | + | 0.0187820i | −0.905442 | − | 0.424469i | \(-0.860461\pi\) |
0.896397 | + | 0.443251i | \(0.146175\pi\) | |||||||
\(6\) | −0.984208 | + | 1.01555i | −0.401801 | + | 0.414595i | ||||
\(7\) | −2.50508 | + | 0.851222i | −0.946831 | + | 0.321732i | ||||
\(8\) | 2.32154 | − | 1.61569i | 0.820787 | − | 0.571234i | ||||
\(9\) | 0.623490 | + | 0.781831i | 0.207830 | + | 0.260610i | ||||
\(10\) | −0.0473388 | − | 0.0458779i | −0.0149698 | − | 0.0145079i | ||||
\(11\) | −4.22358 | − | 3.36820i | −1.27346 | − | 1.01555i | −0.998536 | − | 0.0540831i | \(-0.982776\pi\) |
−0.274922 | − | 0.961466i | \(-0.588652\pi\) | |||||||
\(12\) | −0.923805 | − | 1.77386i | −0.266680 | − | 0.512070i | ||||
\(13\) | −4.09819 | − | 3.26819i | −1.13663 | − | 0.906434i | −0.140141 | − | 0.990132i | \(-0.544756\pi\) |
−0.996491 | + | 0.0836975i | \(0.973327\pi\) | |||||||
\(14\) | −0.0248016 | − | 3.74158i | −0.00662851 | − | 0.999978i | ||||
\(15\) | −0.0364443 | + | 0.0290634i | −0.00940989 | + | 0.00750414i | ||||
\(16\) | 1.13261 | + | 3.83630i | 0.283153 | + | 0.959075i | ||||
\(17\) | −1.81779 | − | 0.414899i | −0.440879 | − | 0.100628i | −0.00368123 | − | 0.999993i | \(-0.501172\pi\) |
−0.437197 | + | 0.899366i | \(0.644029\pi\) | |||||||
\(18\) | −1.32737 | + | 0.487944i | −0.312864 | + | 0.115010i | ||||
\(19\) | 3.64310 | 0.835785 | 0.417893 | − | 0.908496i | \(-0.362769\pi\) | ||||
0.417893 | + | 0.908496i | \(0.362769\pi\) | |||||||
\(20\) | 0.0826869 | − | 0.0430623i | 0.0184893 | − | 0.00962902i | ||||
\(21\) | −2.62633 | − | 0.319989i | −0.573112 | − | 0.0698273i | ||||
\(22\) | 6.40434 | − | 4.16549i | 1.36541 | − | 0.888086i | ||||
\(23\) | −7.77277 | + | 1.77408i | −1.62073 | + | 0.369922i | −0.934080 | − | 0.357063i | \(-0.883778\pi\) |
−0.686654 | + | 0.726985i | \(0.740921\pi\) | |||||||
\(24\) | 2.79266 | − | 0.448414i | 0.570048 | − | 0.0915320i | ||||
\(25\) | 3.11609 | + | 3.90746i | 0.623219 | + | 0.781492i | ||||
\(26\) | 6.21419 | − | 4.04182i | 1.21870 | − | 0.792666i | ||||
\(27\) | 0.222521 | + | 0.974928i | 0.0428242 | + | 0.187625i | ||||
\(28\) | 5.03229 | + | 1.63588i | 0.951013 | + | 0.309151i | ||||
\(29\) | 0.460848 | − | 2.01911i | 0.0855773 | − | 0.374938i | −0.913945 | − | 0.405838i | \(-0.866980\pi\) |
0.999523 | + | 0.0308990i | \(0.00983703\pi\) | |||||||
\(30\) | −0.0227451 | − | 0.0618741i | −0.00415266 | − | 0.0112966i | ||||
\(31\) | −6.23384 | −1.11963 | −0.559815 | − | 0.828618i | \(-0.689128\pi\) | ||||
−0.559815 | + | 0.828618i | \(0.689128\pi\) | |||||||
\(32\) | −5.65361 | − | 0.191445i | −0.999427 | − | 0.0338430i | ||||
\(33\) | −2.34391 | − | 4.86719i | −0.408023 | − | 0.847268i | ||||
\(34\) | 1.36773 | − | 2.25440i | 0.234564 | − | 0.386626i | ||||
\(35\) | 0.0149160 | − | 0.122424i | 0.00252126 | − | 0.0206934i | ||||
\(36\) | −0.0626700 | − | 1.99902i | −0.0104450 | − | 0.333170i | ||||
\(37\) | 1.79149 | − | 7.84902i | 0.294519 | − | 1.29037i | −0.583645 | − | 0.812009i | \(-0.698374\pi\) |
0.878163 | − | 0.478361i | \(-0.158769\pi\) | |||||||
\(38\) | −1.62523 | + | 4.88907i | −0.263647 | + | 0.793113i | ||||
\(39\) | −2.27432 | − | 4.72268i | −0.364183 | − | 0.756234i | ||||
\(40\) | 0.0209024 | + | 0.130177i | 0.00330496 | + | 0.0205828i | ||||
\(41\) | −1.75191 | + | 3.63789i | −0.273603 | + | 0.568142i | −0.991815 | − | 0.127682i | \(-0.959246\pi\) |
0.718212 | + | 0.695824i | \(0.244961\pi\) | |||||||
\(42\) | 1.60106 | − | 3.38180i | 0.247049 | − | 0.521824i | ||||
\(43\) | −2.31404 | − | 4.80515i | −0.352888 | − | 0.732779i | 0.646662 | − | 0.762777i | \(-0.276164\pi\) |
−0.999550 | + | 0.0299974i | \(0.990450\pi\) | |||||||
\(44\) | 2.73308 | + | 10.4529i | 0.412027 | + | 1.57584i | ||||
\(45\) | −0.0454453 | + | 0.0103726i | −0.00677459 | + | 0.00154626i | ||||
\(46\) | 1.08669 | − | 11.2226i | 0.160223 | − | 1.65467i | ||||
\(47\) | −0.371672 | + | 0.466062i | −0.0542140 | + | 0.0679822i | −0.808199 | − | 0.588909i | \(-0.799558\pi\) |
0.753985 | + | 0.656891i | \(0.228129\pi\) | |||||||
\(48\) | −0.644061 | + | 3.94781i | −0.0929622 | + | 0.569817i | ||||
\(49\) | 5.55084 | − | 4.26476i | 0.792978 | − | 0.609251i | ||||
\(50\) | −6.63396 | + | 2.43866i | −0.938184 | + | 0.344879i | ||||
\(51\) | −1.45775 | − | 1.16252i | −0.204126 | − | 0.162785i | ||||
\(52\) | 2.65193 | + | 10.1426i | 0.367757 | + | 1.40652i | ||||
\(53\) | 0.113587 | + | 0.497658i | 0.0156024 | + | 0.0683586i | 0.982130 | − | 0.188205i | \(-0.0602669\pi\) |
−0.966527 | + | 0.256563i | \(0.917410\pi\) | |||||||
\(54\) | −1.40763 | − | 0.136302i | −0.191554 | − | 0.0185483i | ||||
\(55\) | 0.226879 | − | 0.109259i | 0.0305924 | − | 0.0147325i | ||||
\(56\) | −4.44032 | + | 6.02358i | −0.593362 | + | 0.804935i | ||||
\(57\) | 3.28232 | + | 1.58068i | 0.434754 | + | 0.209367i | ||||
\(58\) | 2.50407 | + | 1.51921i | 0.328800 | + | 0.199482i | ||||
\(59\) | −3.00005 | + | 1.44475i | −0.390573 | + | 0.188090i | −0.618856 | − | 0.785505i | \(-0.712403\pi\) |
0.228282 | + | 0.973595i | \(0.426689\pi\) | |||||||
\(60\) | 0.0931823 | − | 0.00292130i | 0.0120298 | − | 0.000377138i | ||||
\(61\) | 12.0386 | + | 2.74773i | 1.54138 | + | 0.351811i | 0.906974 | − | 0.421187i | \(-0.138386\pi\) |
0.634409 | + | 0.772998i | \(0.281244\pi\) | |||||||
\(62\) | 2.78099 | − | 8.36585i | 0.353185 | − | 1.06246i | ||||
\(63\) | −2.22740 | − | 1.42782i | −0.280626 | − | 0.179889i | ||||
\(64\) | 2.77906 | − | 7.50179i | 0.347383 | − | 0.937723i | ||||
\(65\) | 0.220143 | − | 0.106015i | 0.0273054 | − | 0.0131496i | ||||
\(66\) | 7.57745 | − | 0.974242i | 0.932719 | − | 0.119921i | ||||
\(67\) | 9.62227i | 1.17555i | 0.809025 | + | 0.587774i | \(0.199996\pi\) | ||||
−0.809025 | + | 0.587774i | \(0.800004\pi\) | |||||||
\(68\) | 2.41526 | + | 2.84122i | 0.292893 | + | 0.344549i | ||||
\(69\) | −7.77277 | − | 1.77408i | −0.935731 | − | 0.213575i | ||||
\(70\) | 0.157640 | + | 0.0746321i | 0.0188415 | + | 0.00892024i | ||||
\(71\) | −1.82800 | + | 0.417230i | −0.216944 | + | 0.0495161i | −0.329611 | − | 0.944117i | \(-0.606918\pi\) |
0.112667 | + | 0.993633i | \(0.464061\pi\) | |||||||
\(72\) | 2.71066 | + | 0.807681i | 0.319454 | + | 0.0951861i | ||||
\(73\) | 7.50927 | − | 5.98844i | 0.878894 | − | 0.700894i | −0.0762337 | − | 0.997090i | \(-0.524290\pi\) |
0.955127 | + | 0.296196i | \(0.0957181\pi\) | |||||||
\(74\) | 9.73424 | + | 5.90573i | 1.13158 | + | 0.686527i | ||||
\(75\) | 1.11212 | + | 4.87252i | 0.128417 | + | 0.562630i | ||||
\(76\) | −5.83614 | − | 4.36214i | −0.669451 | − | 0.500372i | ||||
\(77\) | 13.4475 | + | 4.84239i | 1.53248 | + | 0.551842i | ||||
\(78\) | 7.35247 | − | 0.945317i | 0.832503 | − | 0.107036i | ||||
\(79\) | 6.41351i | 0.721576i | 0.932648 | + | 0.360788i | \(0.117492\pi\) | ||||
−0.932648 | + | 0.360788i | \(0.882508\pi\) | |||||||
\(80\) | −0.184023 | − | 0.0300223i | −0.0205744 | − | 0.00335660i | ||||
\(81\) | −0.222521 | + | 0.974928i | −0.0247245 | + | 0.108325i | ||||
\(82\) | −4.10052 | − | 3.97398i | −0.452827 | − | 0.438853i | ||||
\(83\) | −2.99386 | − | 3.75418i | −0.328619 | − | 0.412075i | 0.589885 | − | 0.807487i | \(-0.299173\pi\) |
−0.918504 | + | 0.395412i | \(0.870602\pi\) | |||||||
\(84\) | 3.82415 | + | 3.65730i | 0.417249 | + | 0.399044i | ||||
\(85\) | 0.0541898 | − | 0.0679518i | 0.00587771 | − | 0.00737041i | ||||
\(86\) | 7.48087 | − | 0.961826i | 0.806683 | − | 0.103716i | ||||
\(87\) | 1.29127 | − | 1.61920i | 0.138438 | − | 0.173596i | ||||
\(88\) | −15.2472 | − | 0.995368i | −1.62536 | − | 0.106107i | ||||
\(89\) | −12.8025 | + | 10.2097i | −1.35706 | + | 1.08222i | −0.368794 | + | 0.929511i | \(0.620229\pi\) |
−0.988271 | + | 0.152712i | \(0.951199\pi\) | |||||||
\(90\) | 0.00635357 | − | 0.0656153i | 0.000669726 | − | 0.00691646i | ||||
\(91\) | 13.0482 | + | 4.69862i | 1.36783 | + | 0.492549i | ||||
\(92\) | 14.5760 | + | 6.46485i | 1.51965 | + | 0.674007i | ||||
\(93\) | −5.61649 | − | 2.70476i | −0.582403 | − | 0.280471i | ||||
\(94\) | −0.459652 | − | 0.706703i | −0.0474095 | − | 0.0728908i | ||||
\(95\) | −0.0736821 | + | 0.153002i | −0.00755962 | + | 0.0156977i | ||||
\(96\) | −5.01067 | − | 2.62550i | −0.511399 | − | 0.267964i | ||||
\(97\) | − | 6.08284i | − | 0.617618i | −0.951124 | − | 0.308809i | \(-0.900070\pi\) | ||
0.951124 | − | 0.308809i | \(-0.0999305\pi\) | |||||||
\(98\) | 3.24704 | + | 9.35183i | 0.328001 | + | 0.944678i | ||||
\(99\) | − | 5.40217i | − | 0.542938i | ||||||
\(100\) | −0.313214 | − | 9.99075i | −0.0313214 | − | 0.999075i | ||||
\(101\) | 2.27205 | − | 4.71797i | 0.226078 | − | 0.469455i | −0.756816 | − | 0.653628i | \(-0.773246\pi\) |
0.982894 | + | 0.184173i | \(0.0589605\pi\) | |||||||
\(102\) | 2.21043 | − | 1.43770i | 0.218865 | − | 0.142354i | ||||
\(103\) | −15.4641 | − | 7.44714i | −1.52373 | − | 0.733788i | −0.530252 | − | 0.847840i | \(-0.677903\pi\) |
−0.993475 | + | 0.114052i | \(0.963617\pi\) | |||||||
\(104\) | −14.7945 | − | 0.965815i | −1.45072 | − | 0.0947060i | ||||
\(105\) | 0.0665566 | − | 0.103828i | 0.00649526 | − | 0.0101326i | ||||
\(106\) | −0.718533 | − | 0.0695760i | −0.0697901 | − | 0.00675782i | ||||
\(107\) | −4.24003 | + | 3.38131i | −0.409899 | + | 0.326883i | −0.806636 | − | 0.591049i | \(-0.798714\pi\) |
0.396737 | + | 0.917932i | \(0.370143\pi\) | |||||||
\(108\) | 0.810878 | − | 1.82824i | 0.0780267 | − | 0.175923i | ||||
\(109\) | −10.5405 | + | 13.2174i | −1.00960 | + | 1.26600i | −0.0459163 | + | 0.998945i | \(0.514621\pi\) |
−0.963682 | + | 0.267051i | \(0.913951\pi\) | |||||||
\(110\) | 0.0454134 | + | 0.353216i | 0.00433000 | + | 0.0336778i | ||||
\(111\) | 5.01963 | − | 6.29442i | 0.476443 | − | 0.597440i | ||||
\(112\) | −6.10282 | − | 8.64613i | −0.576662 | − | 0.816983i | ||||
\(113\) | −8.37381 | − | 10.5004i | −0.787742 | − | 0.987797i | −0.999944 | − | 0.0105709i | \(-0.996635\pi\) |
0.212203 | − | 0.977226i | \(-0.431936\pi\) | |||||||
\(114\) | −3.58557 | + | 3.69974i | −0.335820 | + | 0.346513i | ||||
\(115\) | 0.0826972 | − | 0.362320i | 0.00771156 | − | 0.0337865i | ||||
\(116\) | −3.15588 | + | 2.68274i | −0.293016 | + | 0.249086i | ||||
\(117\) | − | 5.24178i | − | 0.484602i | ||||||
\(118\) | −0.600506 | − | 4.67061i | −0.0552811 | − | 0.429964i | ||||
\(119\) | 4.90688 | − | 0.507988i | 0.449813 | − | 0.0465672i | ||||
\(120\) | −0.0376493 | + | 0.126355i | −0.00343689 | + | 0.0115345i | ||||
\(121\) | 4.04619 | + | 17.7275i | 0.367836 | + | 1.61159i | ||||
\(122\) | −9.05802 | + | 14.9301i | −0.820075 | + | 1.35171i | ||||
\(123\) | −3.15684 | + | 2.51750i | −0.284643 | + | 0.226995i | ||||
\(124\) | 9.98641 | + | 7.46421i | 0.896806 | + | 0.670306i | ||||
\(125\) | −0.454355 | + | 0.103704i | −0.0406387 | + | 0.00927552i | ||||
\(126\) | 2.90982 | − | 2.35222i | 0.259227 | − | 0.209553i | ||||
\(127\) | 16.5222 | + | 3.77108i | 1.46611 | + | 0.334629i | 0.879755 | − | 0.475427i | \(-0.157707\pi\) |
0.586352 | + | 0.810057i | \(0.300564\pi\) | |||||||
\(128\) | 8.82768 | + | 7.07616i | 0.780264 | + | 0.625450i | ||||
\(129\) | − | 5.33332i | − | 0.469573i | ||||||
\(130\) | 0.0440650 | + | 0.342728i | 0.00386476 | + | 0.0300593i | ||||
\(131\) | −0.352038 | + | 0.169532i | −0.0307577 | + | 0.0148121i | −0.449199 | − | 0.893432i | \(-0.648291\pi\) |
0.418442 | + | 0.908244i | \(0.362576\pi\) | |||||||
\(132\) | −2.07294 | + | 10.6036i | −0.180427 | + | 0.922926i | ||||
\(133\) | −9.12626 | + | 3.10109i | −0.791348 | + | 0.268899i | ||||
\(134\) | −12.9132 | − | 4.29261i | −1.11553 | − | 0.370825i | ||||
\(135\) | −0.0454453 | − | 0.0103726i | −0.00391131 | − | 0.000892732i | ||||
\(136\) | −4.89041 | + | 1.97379i | −0.419350 | + | 0.169251i | ||||
\(137\) | 4.71687 | − | 2.27152i | 0.402989 | − | 0.194069i | −0.221399 | − | 0.975183i | \(-0.571062\pi\) |
0.624389 | + | 0.781114i | \(0.285348\pi\) | |||||||
\(138\) | 5.84835 | − | 9.63967i | 0.497845 | − | 0.820584i | ||||
\(139\) | 10.8589 | + | 5.22936i | 0.921039 | + | 0.443549i | 0.833442 | − | 0.552607i | \(-0.186367\pi\) |
0.0875968 | + | 0.996156i | \(0.472081\pi\) | |||||||
\(140\) | −0.170482 | + | 0.178259i | −0.0144083 | + | 0.0150657i | ||||
\(141\) | −0.537082 | + | 0.258645i | −0.0452305 | + | 0.0217818i | ||||
\(142\) | 0.255568 | − | 2.63933i | 0.0214468 | − | 0.221487i | ||||
\(143\) | 6.30112 | + | 27.6070i | 0.526926 | + | 2.30861i | ||||
\(144\) | −2.29317 | + | 3.27740i | −0.191097 | + | 0.273117i | ||||
\(145\) | 0.0754773 | + | 0.0601912i | 0.00626805 | + | 0.00499860i | ||||
\(146\) | 4.68657 | + | 12.7490i | 0.387863 | + | 1.05512i | ||||
\(147\) | 6.85155 | − | 1.43399i | 0.565106 | − | 0.118274i | ||||
\(148\) | −12.2681 | + | 10.4288i | −1.00843 | + | 0.857243i | ||||
\(149\) | −12.8149 | + | 16.0694i | −1.04984 | + | 1.31646i | −0.103024 | + | 0.994679i | \(0.532852\pi\) |
−0.946815 | + | 0.321778i | \(0.895720\pi\) | |||||||
\(150\) | −7.03509 | − | 0.681212i | −0.574413 | − | 0.0556207i | ||||
\(151\) | −12.4520 | + | 2.84209i | −1.01333 | + | 0.231286i | −0.696776 | − | 0.717288i | \(-0.745383\pi\) |
−0.316554 | + | 0.948574i | \(0.602526\pi\) | |||||||
\(152\) | 8.45760 | − | 5.88614i | 0.686002 | − | 0.477429i | ||||
\(153\) | −0.808992 | − | 1.67989i | −0.0654032 | − | 0.135811i | ||||
\(154\) | −12.4976 | + | 15.8864i | −1.00709 | + | 1.28016i | ||||
\(155\) | 0.126080 | − | 0.261807i | 0.0101270 | − | 0.0210289i | ||||
\(156\) | −2.01140 | + | 10.2888i | −0.161041 | + | 0.823762i | ||||
\(157\) | −7.88108 | − | 16.3652i | −0.628978 | − | 1.30609i | −0.935198 | − | 0.354126i | \(-0.884778\pi\) |
0.306219 | − | 0.951961i | \(-0.400936\pi\) | |||||||
\(158\) | −8.60698 | − | 2.86114i | −0.684735 | − | 0.227620i | ||||
\(159\) | −0.113587 | + | 0.497658i | −0.00900805 | + | 0.0394669i | ||||
\(160\) | 0.122385 | − | 0.233567i | 0.00967539 | − | 0.0184651i | ||||
\(161\) | 17.9613 | − | 11.0606i | 1.41555 | − | 0.871695i | ||||
\(162\) | −1.20909 | − | 0.733551i | −0.0949952 | − | 0.0576332i | ||||
\(163\) | −0.749849 | − | 1.55708i | −0.0587327 | − | 0.121960i | 0.869537 | − | 0.493869i | \(-0.164418\pi\) |
−0.928269 | + | 0.371909i | \(0.878703\pi\) | |||||||
\(164\) | 7.16241 | − | 3.73009i | 0.559290 | − | 0.291271i | ||||
\(165\) | 0.251817 | 0.0196039 | ||||||||
\(166\) | 6.37374 | − | 2.34300i | 0.494698 | − | 0.181852i | ||||
\(167\) | 5.01762 | − | 21.9836i | 0.388275 | − | 1.70114i | −0.282320 | − | 0.959320i | \(-0.591104\pi\) |
0.670595 | − | 0.741823i | \(-0.266039\pi\) | |||||||
\(168\) | −6.61412 | + | 3.50048i | −0.510291 | + | 0.270068i | ||||
\(169\) | 3.22126 | + | 14.1133i | 0.247789 | + | 1.08564i | ||||
\(170\) | 0.0670172 | + | 0.103037i | 0.00513998 | + | 0.00790259i | ||||
\(171\) | 2.27144 | + | 2.84829i | 0.173701 | + | 0.217814i | ||||
\(172\) | −2.04653 | + | 10.4685i | −0.156046 | + | 0.798213i | ||||
\(173\) | −15.7733 | + | 3.60016i | −1.19922 | + | 0.273715i | −0.775070 | − | 0.631875i | \(-0.782286\pi\) |
−0.424154 | + | 0.905590i | \(0.639429\pi\) | |||||||
\(174\) | 1.59693 | + | 2.45523i | 0.121063 | + | 0.186131i | ||||
\(175\) | −11.1322 | − | 7.13601i | −0.841513 | − | 0.539431i | ||||
\(176\) | 8.13773 | − | 20.0178i | 0.613405 | − | 1.50890i | ||||
\(177\) | −3.32980 | −0.250283 | ||||||||
\(178\) | −7.99011 | − | 21.7357i | −0.598884 | − | 1.62916i | ||||
\(179\) | −0.240257 | − | 0.0548370i | −0.0179576 | − | 0.00409871i | 0.213533 | − | 0.976936i | \(-0.431503\pi\) |
−0.231490 | + | 0.972837i | \(0.574360\pi\) | |||||||
\(180\) | 0.0852219 | + | 0.0377983i | 0.00635206 | + | 0.00281732i | ||||
\(181\) | −5.83782 | + | 4.65550i | −0.433921 | + | 0.346041i | −0.815963 | − | 0.578104i | \(-0.803793\pi\) |
0.382041 | + | 0.924145i | \(0.375221\pi\) | |||||||
\(182\) | −12.1266 | + | 15.4147i | −0.898880 | + | 1.14262i | ||||
\(183\) | 9.65420 | + | 7.69896i | 0.713659 | + | 0.569124i | ||||
\(184\) | −15.1784 | + | 16.6770i | −1.11897 | + | 1.22945i | ||||
\(185\) | 0.293409 | + | 0.233986i | 0.0215718 | + | 0.0172030i | ||||
\(186\) | 6.13539 | − | 6.33075i | 0.449869 | − | 0.464193i | ||||
\(187\) | 6.28013 | + | 7.87503i | 0.459248 | + | 0.575879i | ||||
\(188\) | 1.15346 | − | 0.301588i | 0.0841245 | − | 0.0219956i | ||||
\(189\) | −1.38731 | − | 2.25286i | −0.100912 | − | 0.163871i | ||||
\(190\) | −0.172460 | − | 0.167138i | −0.0125116 | − | 0.0121255i | ||||
\(191\) | 0.526785 | − | 1.09388i | 0.0381168 | − | 0.0791504i | −0.881041 | − | 0.473040i | \(-0.843157\pi\) |
0.919158 | + | 0.393890i | \(0.128871\pi\) | |||||||
\(192\) | 5.75875 | − | 5.55309i | 0.415602 | − | 0.400760i | ||||
\(193\) | 9.04236 | + | 4.35457i | 0.650884 | + | 0.313449i | 0.730031 | − | 0.683414i | \(-0.239506\pi\) |
−0.0791475 | + | 0.996863i | \(0.525220\pi\) | |||||||
\(194\) | 8.16321 | + | 2.71362i | 0.586085 | + | 0.194827i | ||||
\(195\) | 0.244340 | 0.0174976 | ||||||||
\(196\) | −13.9988 | + | 0.185594i | −0.999912 | + | 0.0132567i | ||||
\(197\) | −11.0226 | −0.785329 | −0.392664 | − | 0.919682i | \(-0.628447\pi\) | ||||
−0.392664 | + | 0.919682i | \(0.628447\pi\) | |||||||
\(198\) | 7.24975 | + | 2.40997i | 0.515217 | + | 0.171269i | ||||
\(199\) | 7.21398 | + | 3.47407i | 0.511386 | + | 0.246270i | 0.671737 | − | 0.740790i | \(-0.265548\pi\) |
−0.160351 | + | 0.987060i | \(0.551263\pi\) | |||||||
\(200\) | 13.5474 | + | 4.03665i | 0.957945 | + | 0.285434i | ||||
\(201\) | −4.17495 | + | 8.66937i | −0.294478 | + | 0.611490i | ||||
\(202\) | 5.31796 | + | 5.15385i | 0.374170 | + | 0.362624i | ||||
\(203\) | 0.564247 | + | 5.45030i | 0.0396023 | + | 0.382536i | ||||
\(204\) | 0.943310 | + | 3.60779i | 0.0660449 | + | 0.252596i | ||||
\(205\) | −0.117351 | − | 0.147153i | −0.00819613 | − | 0.0102776i | ||||
\(206\) | 16.8928 | − | 17.4307i | 1.17698 | − | 1.21446i | ||||
\(207\) | −6.23328 | − | 4.97087i | −0.433243 | − | 0.345499i | ||||
\(208\) | 7.89612 | − | 19.4235i | 0.547498 | − | 1.34677i | ||||
\(209\) | −15.3870 | − | 12.2707i | −1.06434 | − | 0.848781i | ||||
\(210\) | 0.109647 | + | 0.135638i | 0.00756634 | + | 0.00935994i | ||||
\(211\) | 2.57719 | − | 2.05524i | 0.177421 | − | 0.141489i | −0.530753 | − | 0.847527i | \(-0.678091\pi\) |
0.708174 | + | 0.706038i | \(0.249519\pi\) | |||||||
\(212\) | 0.413918 | − | 0.933239i | 0.0284280 | − | 0.0640951i | ||||
\(213\) | −1.82800 | − | 0.417230i | −0.125253 | − | 0.0285881i | ||||
\(214\) | −2.64622 | − | 7.19859i | −0.180892 | − | 0.492085i | ||||
\(215\) | 0.248608 | 0.0169549 | ||||||||
\(216\) | 2.09178 | + | 1.90380i | 0.142327 | + | 0.129538i | ||||
\(217\) | 15.6163 | − | 5.30638i | 1.06010 | − | 0.360220i | ||||
\(218\) | −13.0356 | − | 20.0419i | −0.882882 | − | 1.35741i | ||||
\(219\) | 9.36391 | − | 2.13725i | 0.632754 | − | 0.144422i | ||||
\(220\) | −0.494277 | − | 0.0966284i | −0.0333242 | − | 0.00651468i | ||||
\(221\) | 6.09367 | + | 7.64122i | 0.409905 | + | 0.514004i | ||||
\(222\) | 6.20785 | + | 9.54440i | 0.416643 | + | 0.640578i | ||||
\(223\) | −3.49760 | − | 15.3240i | −0.234217 | − | 1.02617i | −0.946100 | − | 0.323874i | \(-0.895015\pi\) |
0.711883 | − | 0.702298i | \(-0.247842\pi\) | |||||||
\(224\) | 14.3257 | − | 4.33289i | 0.957177 | − | 0.289504i | ||||
\(225\) | −1.11212 | + | 4.87252i | −0.0741414 | + | 0.324835i | ||||
\(226\) | 17.8273 | − | 6.55336i | 1.18585 | − | 0.435923i | ||||
\(227\) | 14.8216 | 0.983742 | 0.491871 | − | 0.870668i | \(-0.336313\pi\) | ||||
0.491871 | + | 0.870668i | \(0.336313\pi\) | |||||||
\(228\) | −3.36552 | − | 6.46236i | −0.222887 | − | 0.427980i | ||||
\(229\) | 5.04858 | + | 10.4835i | 0.333619 | + | 0.692768i | 0.998533 | − | 0.0541526i | \(-0.0172458\pi\) |
−0.664913 | + | 0.746921i | \(0.731531\pi\) | |||||||
\(230\) | 0.449344 | + | 0.272615i | 0.0296289 | + | 0.0179757i | ||||
\(231\) | 10.0147 | + | 10.1975i | 0.658922 | + | 0.670946i | ||||
\(232\) | −2.19238 | − | 5.43202i | −0.143937 | − | 0.356629i | ||||
\(233\) | −2.35978 | + | 10.3389i | −0.154594 | + | 0.677322i | 0.836920 | + | 0.547325i | \(0.184354\pi\) |
−0.991514 | + | 0.129997i | \(0.958503\pi\) | |||||||
\(234\) | 7.03450 | + | 2.33842i | 0.459860 | + | 0.152867i | ||||
\(235\) | −0.0120565 | − | 0.0250356i | −0.000786479 | − | 0.00163314i | ||||
\(236\) | 6.53588 | + | 1.27773i | 0.425450 | + | 0.0831730i | ||||
\(237\) | −2.78272 | + | 5.77837i | −0.180757 | + | 0.375346i | ||||
\(238\) | −1.50729 | + | 6.81169i | −0.0977031 | + | 0.441536i | ||||
\(239\) | −8.65838 | − | 17.9793i | −0.560064 | − | 1.16299i | −0.968226 | − | 0.250076i | \(-0.919544\pi\) |
0.408162 | − | 0.912909i | \(-0.366170\pi\) | |||||||
\(240\) | −0.152773 | − | 0.106894i | −0.00986146 | − | 0.00689997i | ||||
\(241\) | 18.2252 | − | 4.15979i | 1.17399 | − | 0.267956i | 0.409329 | − | 0.912387i | \(-0.365763\pi\) |
0.764662 | + | 0.644431i | \(0.222906\pi\) | |||||||
\(242\) | −25.5955 | − | 2.47843i | −1.64534 | − | 0.159320i | ||||
\(243\) | −0.623490 | + | 0.781831i | −0.0399969 | + | 0.0501545i | ||||
\(244\) | −15.9954 | − | 18.8164i | −1.02400 | − | 1.20460i | ||||
\(245\) | 0.0668442 | + | 0.319378i | 0.00427052 | + | 0.0204043i | ||||
\(246\) | −1.97020 | − | 5.35959i | −0.125615 | − | 0.341715i | ||||
\(247\) | −14.9301 | − | 11.9064i | −0.949981 | − | 0.757584i | ||||
\(248\) | −14.4721 | + | 10.0720i | −0.918978 | + | 0.639571i | ||||
\(249\) | −1.06850 | − | 4.68139i | −0.0677132 | − | 0.296671i | ||||
\(250\) | 0.0635219 | − | 0.656011i | 0.00401748 | − | 0.0414898i | ||||
\(251\) | 14.3874 | − | 6.92863i | 0.908127 | − | 0.437331i | 0.0793098 | − | 0.996850i | \(-0.474728\pi\) |
0.828818 | + | 0.559519i | \(0.189014\pi\) | |||||||
\(252\) | 1.85860 | + | 4.95435i | 0.117081 | + | 0.312095i | ||||
\(253\) | 38.8044 | + | 18.6872i | 2.43961 | + | 1.17486i | ||||
\(254\) | −12.4316 | + | 20.4906i | −0.780025 | + | 1.28569i | ||||
\(255\) | 0.0783065 | − | 0.0377104i | 0.00490374 | − | 0.00236152i | ||||
\(256\) | −13.4344 | + | 8.69007i | −0.839649 | + | 0.543129i | ||||
\(257\) | 13.7431 | + | 3.13677i | 0.857270 | + | 0.195666i | 0.628495 | − | 0.777813i | \(-0.283671\pi\) |
0.228774 | + | 0.973480i | \(0.426528\pi\) | |||||||
\(258\) | 7.15735 | + | 2.37925i | 0.445597 | + | 0.148126i | ||||
\(259\) | 2.19344 | + | 21.1874i | 0.136294 | + | 1.31652i | ||||
\(260\) | −0.479602 | − | 0.0937595i | −0.0297437 | − | 0.00581471i | ||||
\(261\) | 1.86593 | − | 0.898587i | 0.115498 | − | 0.0556211i | ||||
\(262\) | −0.0704658 | − | 0.548068i | −0.00435339 | − | 0.0338597i | ||||
\(263\) | 17.2157i | 1.06156i | 0.847509 | + | 0.530781i | \(0.178102\pi\) | ||||
−0.847509 | + | 0.530781i | \(0.821898\pi\) | |||||||
\(264\) | −13.3054 | − | 7.51230i | −0.818889 | − | 0.462350i | ||||
\(265\) | −0.0231979 | − | 0.00529476i | −0.00142503 | − | 0.000325255i | ||||
\(266\) | −0.0903549 | − | 13.6309i | −0.00554001 | − | 0.835767i | ||||
\(267\) | −15.9645 | + | 3.64379i | −0.977011 | + | 0.222996i | ||||
\(268\) | 11.5214 | − | 15.4146i | 0.703783 | − | 0.941596i | ||||
\(269\) | −0.966429 | + | 0.770701i | −0.0589242 | + | 0.0469905i | −0.652509 | − | 0.757781i | \(-0.726284\pi\) |
0.593585 | + | 0.804771i | \(0.297712\pi\) | |||||||
\(270\) | 0.0341938 | − | 0.0563607i | 0.00208097 | − | 0.00343000i | ||||
\(271\) | −1.98137 | − | 8.68095i | −0.120360 | − | 0.527330i | −0.998777 | − | 0.0494363i | \(-0.984258\pi\) |
0.878418 | − | 0.477894i | \(-0.158600\pi\) | |||||||
\(272\) | −0.467172 | − | 7.44350i | −0.0283265 | − | 0.451329i | ||||
\(273\) | 9.71740 | + | 9.89473i | 0.588124 | + | 0.598856i | ||||
\(274\) | 0.944154 | + | 7.34343i | 0.0570384 | + | 0.443633i | ||||
\(275\) | − | 26.9991i | − | 1.62811i | ||||||
\(276\) | 10.3275 | + | 12.1489i | 0.621642 | + | 0.731278i | ||||
\(277\) | −0.652312 | + | 2.85797i | −0.0391937 | + | 0.171719i | −0.990737 | − | 0.135797i | \(-0.956640\pi\) |
0.951543 | + | 0.307516i | \(0.0994976\pi\) | |||||||
\(278\) | −11.8621 | + | 12.2398i | −0.711443 | + | 0.734096i | ||||
\(279\) | −3.88673 | − | 4.87381i | −0.232693 | − | 0.291787i | ||||
\(280\) | −0.163172 | − | 0.308311i | −0.00975137 | − | 0.0184251i | ||||
\(281\) | 2.02682 | − | 2.54155i | 0.120910 | − | 0.151616i | −0.717693 | − | 0.696360i | \(-0.754802\pi\) |
0.838602 | + | 0.544744i | \(0.183373\pi\) | |||||||
\(282\) | −0.107505 | − | 0.836153i | −0.00640184 | − | 0.0497922i | ||||
\(283\) | 15.0553 | − | 18.8788i | 0.894946 | − | 1.12223i | −0.0969649 | − | 0.995288i | \(-0.530913\pi\) |
0.991911 | − | 0.126939i | \(-0.0405151\pi\) | |||||||
\(284\) | 3.42798 | + | 1.52041i | 0.203413 | + | 0.0902196i | ||||
\(285\) | −0.132771 | + | 0.105881i | −0.00786465 | + | 0.00627185i | ||||
\(286\) | −39.8598 | − | 3.85965i | −2.35696 | − | 0.228226i | ||||
\(287\) | 1.29203 | − | 10.6045i | 0.0762664 | − | 0.625961i | ||||
\(288\) | −3.37529 | − | 4.53954i | −0.198891 | − | 0.267495i | ||||
\(289\) | −12.1843 | − | 5.86763i | −0.716721 | − | 0.345155i | ||||
\(290\) | −0.114448 | + | 0.0744392i | −0.00672064 | + | 0.00437122i | ||||
\(291\) | 2.63924 | − | 5.48045i | 0.154715 | − | 0.321269i | ||||
\(292\) | −19.2000 | + | 0.601927i | −1.12360 | + | 0.0352251i | ||||
\(293\) | − | 21.4997i | − | 1.25603i | −0.778202 | − | 0.628014i | \(-0.783868\pi\) | ||
0.778202 | − | 0.628014i | \(-0.216132\pi\) | |||||||
\(294\) | −1.13213 | + | 9.83455i | −0.0660269 | + | 0.573562i | ||||
\(295\) | − | 0.155216i | − | 0.00903701i | ||||||
\(296\) | −8.52261 | − | 21.1163i | −0.495367 | − | 1.22736i | ||||
\(297\) | 2.34391 | − | 4.86719i | 0.136008 | − | 0.282423i | ||||
\(298\) | −15.8484 | − | 24.3665i | −0.918072 | − | 1.41151i | ||||
\(299\) | 37.6523 | + | 18.1324i | 2.17749 | + | 1.04862i | ||||
\(300\) | 4.05263 | − | 9.13725i | 0.233978 | − | 0.527539i | ||||
\(301\) | 9.88711 | + | 10.0675i | 0.569883 | + | 0.580283i | ||||
\(302\) | 1.74088 | − | 17.9786i | 0.100176 | − | 1.03455i | ||||
\(303\) | 4.09410 | − | 3.26493i | 0.235200 | − | 0.187566i | ||||
\(304\) | 4.12622 | + | 13.9760i | 0.236655 | + | 0.801581i | ||||
\(305\) | −0.358880 | + | 0.450021i | −0.0205494 | + | 0.0257681i | ||||
\(306\) | 2.61533 | − | 0.336256i | 0.149508 | − | 0.0192225i | ||||
\(307\) | −1.05044 | + | 1.31721i | −0.0599516 | + | 0.0751769i | −0.810903 | − | 0.585180i | \(-0.801024\pi\) |
0.750952 | + | 0.660357i | \(0.229595\pi\) | |||||||
\(308\) | −15.7443 | − | 23.8590i | −0.897117 | − | 1.35949i | ||||
\(309\) | −10.7015 | − | 13.4193i | −0.608788 | − | 0.763396i | ||||
\(310\) | 0.295102 | + | 0.285995i | 0.0167607 | + | 0.0162434i | ||||
\(311\) | 6.08177 | − | 26.6460i | 0.344865 | − | 1.51095i | −0.443797 | − | 0.896127i | \(-0.646369\pi\) |
0.788662 | − | 0.614827i | \(-0.210774\pi\) | |||||||
\(312\) | −12.9103 | − | 7.28926i | −0.730903 | − | 0.412673i | ||||
\(313\) | − | 16.2824i | − | 0.920338i | −0.887831 | − | 0.460169i | \(-0.847789\pi\) | ||
0.887831 | − | 0.460169i | \(-0.152211\pi\) | |||||||
\(314\) | 25.4781 | − | 3.27575i | 1.43781 | − | 0.184861i | ||||
\(315\) | 0.105015 | − | 0.0646683i | 0.00591691 | − | 0.00364364i | ||||
\(316\) | 7.67934 | − | 10.2742i | 0.431997 | − | 0.577972i | ||||
\(317\) | −3.86046 | − | 16.9138i | −0.216825 | − | 0.949971i | −0.959807 | − | 0.280660i | \(-0.909447\pi\) |
0.742982 | − | 0.669311i | \(-0.233411\pi\) | |||||||
\(318\) | −0.617188 | − | 0.374446i | −0.0346102 | − | 0.0209979i | ||||
\(319\) | −8.74717 | + | 6.97564i | −0.489748 | + | 0.390561i | ||||
\(320\) | 0.258852 | + | 0.268439i | 0.0144703 | + | 0.0150062i | ||||
\(321\) | −5.28722 | + | 1.20677i | −0.295104 | + | 0.0673556i | ||||
\(322\) | 6.83064 | + | 29.0384i | 0.380657 | + | 1.61825i | ||||
\(323\) | −6.62240 | − | 1.51152i | −0.368480 | − | 0.0841032i | ||||
\(324\) | 1.52382 | − | 1.29536i | 0.0846567 | − | 0.0719647i | ||||
\(325\) | − | 26.1975i | − | 1.45318i | ||||||
\(326\) | 2.42413 | − | 0.311673i | 0.134260 | − | 0.0172620i | ||||
\(327\) | −15.2315 | + | 7.33510i | −0.842303 | + | 0.405632i | ||||
\(328\) | 1.81058 | + | 11.2760i | 0.0999726 | + | 0.622615i | ||||
\(329\) | 0.534346 | − | 1.48390i | 0.0294595 | − | 0.0818100i | ||||
\(330\) | −0.112338 | + | 0.337940i | −0.00618403 | + | 0.0186030i | ||||
\(331\) | −15.6987 | − | 3.58313i | −0.862879 | − | 0.196947i | −0.231894 | − | 0.972741i | \(-0.574492\pi\) |
−0.630986 | + | 0.775794i | \(0.717349\pi\) | |||||||
\(332\) | 0.300927 | + | 9.59885i | 0.0165155 | + | 0.526805i | ||||
\(333\) | 7.25358 | − | 3.49314i | 0.397494 | − | 0.191423i | ||||
\(334\) | 27.2638 | + | 16.5408i | 1.49181 | + | 0.905074i | ||||
\(335\) | −0.404114 | − | 0.194611i | −0.0220791 | − | 0.0106327i | ||||
\(336\) | −1.74704 | − | 10.4378i | −0.0953086 | − | 0.569429i | ||||
\(337\) | −29.1283 | + | 14.0275i | −1.58672 | + | 0.764124i | −0.998990 | − | 0.0449324i | \(-0.985693\pi\) |
−0.587730 | + | 0.809057i | \(0.699978\pi\) | |||||||
\(338\) | −20.3772 | − | 1.97313i | −1.10837 | − | 0.107324i | ||||
\(339\) | −2.98858 | − | 13.0938i | −0.162317 | − | 0.711158i | ||||
\(340\) | −0.168174 | + | 0.0439715i | −0.00912051 | + | 0.00238469i | ||||
\(341\) | 26.3291 | + | 20.9968i | 1.42580 | + | 1.13704i | ||||
\(342\) | −4.83575 | + | 1.77763i | −0.261487 | + | 0.0961233i | ||||
\(343\) | −10.2750 | + | 15.4085i | −0.554801 | + | 0.831983i | ||||
\(344\) | −13.1358 | − | 7.41656i | −0.708234 | − | 0.399874i | ||||
\(345\) | 0.231712 | − | 0.290558i | 0.0124750 | − | 0.0156431i | ||||
\(346\) | 2.20522 | − | 22.7740i | 0.118553 | − | 1.22434i | ||||
\(347\) | 22.3555 | − | 5.10249i | 1.20010 | − | 0.273916i | 0.424672 | − | 0.905347i | \(-0.360389\pi\) |
0.775432 | + | 0.631431i | \(0.217532\pi\) | |||||||
\(348\) | −4.00735 | + | 1.04778i | −0.214816 | + | 0.0561669i | ||||
\(349\) | −7.36603 | − | 15.2957i | −0.394295 | − | 0.818762i | −0.999738 | − | 0.0228733i | \(-0.992719\pi\) |
0.605444 | − | 0.795888i | \(-0.292996\pi\) | |||||||
\(350\) | 14.5428 | − | 11.7560i | 0.777344 | − | 0.628385i | ||||
\(351\) | 2.27432 | − | 4.72268i | 0.121394 | − | 0.252078i | ||||
\(352\) | 23.2337 | + | 19.8511i | 1.23836 | + | 1.05807i | ||||
\(353\) | −12.0111 | − | 24.9414i | −0.639288 | − | 1.32750i | −0.928893 | − | 0.370349i | \(-0.879238\pi\) |
0.289604 | − | 0.957146i | \(-0.406476\pi\) | |||||||
\(354\) | 1.48546 | − | 4.46862i | 0.0789515 | − | 0.237505i | ||||
\(355\) | 0.0194488 | − | 0.0852107i | 0.00103223 | − | 0.00452251i | ||||
\(356\) | 32.7340 | − | 1.02622i | 1.73490 | − | 0.0543897i | ||||
\(357\) | 4.64135 | + | 1.67133i | 0.245646 | + | 0.0884563i | ||||
\(358\) | 0.180773 | − | 0.297963i | 0.00955415 | − | 0.0157478i | ||||
\(359\) | 12.7529 | + | 26.4817i | 0.673074 | + | 1.39765i | 0.905208 | + | 0.424969i | \(0.139715\pi\) |
−0.232134 | + | 0.972684i | \(0.574571\pi\) | |||||||
\(360\) | −0.0887441 | + | 0.0975062i | −0.00467722 | + | 0.00513903i | ||||
\(361\) | −5.72779 | −0.301463 | ||||||||
\(362\) | −3.64340 | − | 9.91127i | −0.191493 | − | 0.520925i | ||||
\(363\) | −4.04619 | + | 17.7275i | −0.212370 | + | 0.930454i | ||||
\(364\) | −15.2769 | − | 23.1506i | −0.800727 | − | 1.21342i | ||||
\(365\) | 0.0996259 | + | 0.436490i | 0.00521466 | + | 0.0228469i | ||||
\(366\) | −14.6389 | + | 9.52141i | −0.765188 | + | 0.497692i | ||||
\(367\) | −3.58881 | − | 4.50022i | −0.187334 | − | 0.234910i | 0.679291 | − | 0.733869i | \(-0.262287\pi\) |
−0.866626 | + | 0.498959i | \(0.833716\pi\) | |||||||
\(368\) | −15.6094 | − | 27.8093i | −0.813698 | − | 1.44966i | ||||
\(369\) | −3.93651 | + | 0.898484i | −0.204927 | + | 0.0467732i | ||||
\(370\) | −0.444903 | + | 0.289373i | −0.0231294 | + | 0.0150438i | ||||
\(371\) | −0.708162 | − | 1.14998i | −0.0367660 | − | 0.0597042i | ||||
\(372\) | 5.75885 | + | 11.0580i | 0.298582 | + | 0.573329i | ||||
\(373\) | 16.7948 | 0.869600 | 0.434800 | − | 0.900527i | \(-0.356819\pi\) | ||||
0.434800 | + | 0.900527i | \(0.356819\pi\) | |||||||
\(374\) | −13.3700 | + | 4.91484i | −0.691346 | + | 0.254140i | ||||
\(375\) | −0.454355 | − | 0.103704i | −0.0234628 | − | 0.00535523i | ||||
\(376\) | −0.109836 | + | 1.68249i | −0.00566438 | + | 0.0867678i | ||||
\(377\) | −8.48747 | + | 6.76853i | −0.437127 | + | 0.348597i | ||||
\(378\) | 3.64225 | − | 0.856759i | 0.187337 | − | 0.0440669i | ||||
\(379\) | 4.38597 | + | 3.49770i | 0.225292 | + | 0.179665i | 0.729631 | − | 0.683842i | \(-0.239692\pi\) |
−0.504338 | + | 0.863506i | \(0.668263\pi\) | |||||||
\(380\) | 0.301237 | − | 0.156880i | 0.0154531 | − | 0.00804780i | ||||
\(381\) | 13.2498 | + | 10.5663i | 0.678806 | + | 0.541330i | ||||
\(382\) | 1.23299 | + | 1.19494i | 0.0630853 | + | 0.0611386i | ||||
\(383\) | −9.06944 | − | 11.3727i | −0.463427 | − | 0.581119i | 0.494121 | − | 0.869393i | \(-0.335490\pi\) |
−0.957548 | + | 0.288274i | \(0.906919\pi\) | |||||||
\(384\) | 4.88324 | + | 10.2056i | 0.249197 | + | 0.520802i | ||||
\(385\) | −0.475347 | + | 0.466828i | −0.0242259 | + | 0.0237917i | ||||
\(386\) | −9.87777 | + | 10.1923i | −0.502765 | + | 0.518774i | ||||
\(387\) | 2.31404 | − | 4.80515i | 0.117629 | − | 0.244260i | ||||
\(388\) | −7.28341 | + | 9.74452i | −0.369759 | + | 0.494703i | ||||
\(389\) | 23.2981 | + | 11.2198i | 1.18126 | + | 0.568866i | 0.918279 | − | 0.395934i | \(-0.129579\pi\) |
0.262984 | + | 0.964800i | \(0.415293\pi\) | |||||||
\(390\) | −0.109003 | + | 0.327907i | −0.00551959 | + | 0.0166042i | ||||
\(391\) | 14.8653 | 0.751771 | ||||||||
\(392\) | 5.99594 | − | 18.8693i | 0.302841 | − | 0.953041i | ||||
\(393\) | −0.390732 | −0.0197098 | ||||||||
\(394\) | 4.91732 | − | 14.7924i | 0.247731 | − | 0.745232i | ||||
\(395\) | −0.269353 | − | 0.129714i | −0.0135526 | − | 0.00652661i | ||||
\(396\) | −6.46839 | + | 8.65411i | −0.325049 | + | 0.434885i | ||||
\(397\) | −0.931072 | + | 1.93339i | −0.0467292 | + | 0.0970341i | −0.923026 | − | 0.384737i | \(-0.874292\pi\) |
0.876297 | + | 0.481771i | \(0.160006\pi\) | |||||||
\(398\) | −7.88047 | + | 8.13140i | −0.395012 | + | 0.407590i | ||||
\(399\) | −9.56799 | − | 1.16575i | −0.478999 | − | 0.0583606i | ||||
\(400\) | −11.4609 | + | 16.3799i | −0.573043 | + | 0.818995i | ||||
\(401\) | −24.4998 | − | 30.7218i | −1.22346 | − | 1.53417i | −0.762853 | − | 0.646573i | \(-0.776202\pi\) |
−0.460611 | − | 0.887602i | \(-0.652370\pi\) | |||||||
\(402\) | −9.77187 | − | 9.47032i | −0.487376 | − | 0.472336i | ||||
\(403\) | 25.5474 | + | 20.3734i | 1.27261 | + | 1.01487i | ||||
\(404\) | −9.28891 | + | 4.83755i | −0.462140 | + | 0.240677i | ||||
\(405\) | −0.0364443 | − | 0.0290634i | −0.00181093 | − | 0.00144417i | ||||
\(406\) | −7.56607 | − | 1.67422i | −0.375498 | − | 0.0830901i | ||||
\(407\) | −34.0035 | + | 27.1169i | −1.68549 | + | 1.34414i | ||||
\(408\) | −5.26251 | − | 0.343547i | −0.260533 | − | 0.0170081i | ||||
\(409\) | 17.6336 | + | 4.02476i | 0.871928 | + | 0.199012i | 0.634997 | − | 0.772515i | \(-0.281001\pi\) |
0.236931 | + | 0.971527i | \(0.423859\pi\) | |||||||
\(410\) | 0.249832 | − | 0.0918388i | 0.0123383 | − | 0.00453560i | ||||
\(411\) | 5.23533 | 0.258240 | ||||||||
\(412\) | 15.8561 | + | 30.4464i | 0.781174 | + | 1.49999i | ||||
\(413\) | 6.28556 | − | 6.17291i | 0.309292 | − | 0.303749i | ||||
\(414\) | 9.45168 | − | 6.14754i | 0.464525 | − | 0.302135i | ||||
\(415\) | 0.218219 | − | 0.0498070i | 0.0107119 | − | 0.00244493i | ||||
\(416\) | 22.5439 | + | 19.2617i | 1.10530 | + | 0.944382i | ||||
\(417\) | 7.51458 | + | 9.42299i | 0.367991 | + | 0.461446i | ||||
\(418\) | 23.3317 | − | 15.1753i | 1.14119 | − | 0.742249i | ||||
\(419\) | −0.546483 | − | 2.39430i | −0.0266974 | − | 0.116969i | 0.959823 | − | 0.280605i | \(-0.0905350\pi\) |
−0.986521 | + | 0.163636i | \(0.947678\pi\) | |||||||
\(420\) | −0.230942 | + | 0.0866369i | −0.0112688 | + | 0.00422745i | ||||
\(421\) | −5.92496 | + | 25.9589i | −0.288765 | + | 1.26516i | 0.597457 | + | 0.801901i | \(0.296178\pi\) |
−0.886222 | + | 0.463261i | \(0.846679\pi\) | |||||||
\(422\) | 1.60844 | + | 4.37548i | 0.0782975 | + | 0.212995i | ||||
\(423\) | −0.596116 | −0.0289842 | ||||||||
\(424\) | 1.06776 | + | 0.971809i | 0.0518550 | + | 0.0471952i | ||||
\(425\) | −4.04320 | − | 8.39580i | −0.196124 | − | 0.407256i | ||||
\(426\) | 1.37542 | − | 2.26706i | 0.0666393 | − | 0.109840i | ||||
\(427\) | −32.4965 | + | 3.36423i | −1.57262 | + | 0.162806i | ||||
\(428\) | 10.8411 | − | 0.339871i | 0.524023 | − | 0.0164283i | ||||
\(429\) | −6.30112 | + | 27.6070i | −0.304221 | + | 1.33288i | ||||
\(430\) | −0.110907 | + | 0.333633i | −0.00534840 | + | 0.0160892i | ||||
\(431\) | −10.0519 | − | 20.8729i | −0.484181 | − | 1.00541i | −0.989775 | − | 0.142641i | \(-0.954441\pi\) |
0.505593 | − | 0.862772i | \(-0.331274\pi\) | |||||||
\(432\) | −3.48809 | + | 1.95787i | −0.167821 | + | 0.0941981i | ||||
\(433\) | −0.810188 | + | 1.68237i | −0.0389351 | + | 0.0808497i | −0.919529 | − | 0.393022i | \(-0.871430\pi\) |
0.880594 | + | 0.473872i | \(0.157144\pi\) | |||||||
\(434\) | 0.154609 | + | 23.3244i | 0.00742148 | + | 1.11961i | ||||
\(435\) | 0.0418868 | + | 0.0869788i | 0.00200832 | + | 0.00417031i | ||||
\(436\) | 32.7117 | − | 8.55296i | 1.56661 | − | 0.409612i | ||||
\(437\) | −28.3170 | + | 6.46317i | −1.35459 | + | 0.309175i | ||||
\(438\) | −1.30914 | + | 13.5199i | −0.0625531 | + | 0.646005i | ||||
\(439\) | 3.20537 | − | 4.01940i | 0.152984 | − | 0.191836i | −0.699434 | − | 0.714698i | \(-0.746564\pi\) |
0.852417 | + | 0.522862i | \(0.175136\pi\) | |||||||
\(440\) | 0.350179 | − | 0.620217i | 0.0166941 | − | 0.0295677i | ||||
\(441\) | 6.79521 | + | 1.68079i | 0.323582 | + | 0.0800377i | ||||
\(442\) | −12.9730 | + | 4.76892i | −0.617064 | + | 0.226834i | ||||
\(443\) | −3.10497 | − | 2.47613i | −0.147522 | − | 0.117645i | 0.546948 | − | 0.837167i | \(-0.315790\pi\) |
−0.694470 | + | 0.719522i | \(0.744361\pi\) | |||||||
\(444\) | −15.5781 | + | 4.07311i | −0.739302 | + | 0.193301i | ||||
\(445\) | −0.169852 | − | 0.744169i | −0.00805175 | − | 0.0352770i | ||||
\(446\) | 22.1253 | + | 2.14240i | 1.04766 | + | 0.101446i | ||||
\(447\) | −18.5181 | + | 8.91784i | −0.875876 | + | 0.421800i | ||||
\(448\) | −0.576087 | + | 21.1582i | −0.0272175 | + | 0.999630i | ||||
\(449\) | 10.3399 | + | 4.97945i | 0.487972 | + | 0.234995i | 0.661657 | − | 0.749806i | \(-0.269853\pi\) |
−0.173686 | + | 0.984801i | \(0.555568\pi\) | |||||||
\(450\) | −6.04283 | − | 3.66616i | −0.284862 | − | 0.172825i | ||||
\(451\) | 19.6525 | − | 9.46413i | 0.925399 | − | 0.445649i | ||||
\(452\) | 0.841692 | + | 26.8479i | 0.0395898 | + | 1.26282i | ||||
\(453\) | −12.4520 | − | 2.84209i | −0.585047 | − | 0.133533i | ||||
\(454\) | −6.61207 | + | 19.8907i | −0.310320 | + | 0.933515i | ||||
\(455\) | −0.461233 | + | 0.452968i | −0.0216230 | + | 0.0212354i | ||||
\(456\) | 10.1739 | − | 1.63362i | 0.476438 | − | 0.0765011i | ||||
\(457\) | −28.5171 | + | 13.7331i | −1.33397 | + | 0.642408i | −0.958677 | − | 0.284496i | \(-0.908174\pi\) |
−0.375297 | + | 0.926904i | \(0.622459\pi\) | |||||||
\(458\) | −16.3211 | + | 2.09843i | −0.762637 | + | 0.0980532i | ||||
\(459\) | − | 1.86454i | − | 0.0870291i | ||||||
\(460\) | −0.566310 | + | 0.481407i | −0.0264043 | + | 0.0224457i | ||||
\(461\) | 20.9740 | + | 4.78718i | 0.976857 | + | 0.222961i | 0.681010 | − | 0.732274i | \(-0.261541\pi\) |
0.295847 | + | 0.955235i | \(0.404398\pi\) | |||||||
\(462\) | −18.1528 | + | 8.89064i | −0.844545 | + | 0.413630i | ||||
\(463\) | 23.9768 | − | 5.47256i | 1.11430 | − | 0.254331i | 0.374545 | − | 0.927209i | \(-0.377799\pi\) |
0.739754 | + | 0.672877i | \(0.234942\pi\) | |||||||
\(464\) | 8.26785 | − | 0.518911i | 0.383826 | − | 0.0240898i | ||||
\(465\) | 0.227188 | − | 0.181176i | 0.0105356 | − | 0.00840185i | ||||
\(466\) | −12.8221 | − | 7.77913i | −0.593973 | − | 0.360361i | ||||
\(467\) | −1.15321 | − | 5.05255i | −0.0533643 | − | 0.233804i | 0.941212 | − | 0.337818i | \(-0.109689\pi\) |
−0.994576 | + | 0.104013i | \(0.966832\pi\) | |||||||
\(468\) | −6.27635 | + | 8.39716i | −0.290124 | + | 0.388159i | ||||
\(469\) | −8.19069 | − | 24.1046i | −0.378211 | − | 1.11304i | ||||
\(470\) | 0.0389765 | − | 0.00501126i | 0.00179785 | − | 0.000231152i | ||||
\(471\) | − | 18.1640i | − | 0.836954i | ||||||
\(472\) | −4.63045 | + | 8.20120i | −0.213134 | + | 0.377491i | ||||
\(473\) | −6.41116 | + | 28.0891i | −0.294785 | + | 1.29154i | ||||
\(474\) | −6.51322 | − | 6.31223i | −0.299162 | − | 0.289930i | ||||
\(475\) | 11.3523 | + | 14.2353i | 0.520877 | + | 0.653159i | ||||
\(476\) | −8.46892 | − | 5.06157i | −0.388172 | − | 0.231996i | ||||
\(477\) | −0.318264 | + | 0.399091i | −0.0145723 | + | 0.0182731i | ||||
\(478\) | 27.9910 | − | 3.59884i | 1.28028 | − | 0.164607i | ||||
\(479\) | −7.24551 | + | 9.08558i | −0.331056 | + | 0.415131i | −0.919303 | − | 0.393550i | \(-0.871247\pi\) |
0.588247 | + | 0.808681i | \(0.299818\pi\) | |||||||
\(480\) | 0.211606 | − | 0.157336i | 0.00965846 | − | 0.00718138i | ||||
\(481\) | −32.9940 | + | 26.3118i | −1.50440 | + | 1.19972i | ||||
\(482\) | −2.54802 | + | 26.3141i | −0.116059 | + | 1.19858i | ||||
\(483\) | 20.9815 | − | 2.17213i | 0.954693 | − | 0.0988353i | ||||
\(484\) | 14.7445 | − | 33.2437i | 0.670206 | − | 1.51108i | ||||
\(485\) | 0.255466 | + | 0.123026i | 0.0116001 | + | 0.00558632i | ||||
\(486\) | −0.771078 | − | 1.18551i | −0.0349768 | − | 0.0537759i | ||||
\(487\) | 4.05232 | − | 8.41473i | 0.183628 | − | 0.381308i | −0.788752 | − | 0.614712i | \(-0.789272\pi\) |
0.972380 | + | 0.233404i | \(0.0749865\pi\) | |||||||
\(488\) | 32.3875 | − | 13.0717i | 1.46611 | − | 0.591729i | ||||
\(489\) | − | 1.72823i | − | 0.0781531i | ||||||
\(490\) | −0.458428 | − | 0.0527729i | −0.0207097 | − | 0.00238404i | ||||
\(491\) | 28.7183i | 1.29604i | 0.761623 | + | 0.648020i | \(0.224403\pi\) | ||||
−0.761623 | + | 0.648020i | \(0.775597\pi\) | |||||||
\(492\) | 8.07153 | − | 0.253046i | 0.363893 | − | 0.0114082i | ||||
\(493\) | −1.67545 | + | 3.47910i | −0.0754584 | + | 0.156691i | ||||
\(494\) | 22.6389 | − | 14.7248i | 1.01857 | − | 0.662499i | ||||
\(495\) | 0.226879 | + | 0.109259i | 0.0101975 | + | 0.00491084i | ||||
\(496\) | −7.06051 | − | 23.9149i | −0.317026 | − | 1.07381i | ||||
\(497\) | 4.22414 | − | 2.60123i | 0.189479 | − | 0.116681i | ||||
\(498\) | 6.75913 | + | 0.654491i | 0.302884 | + | 0.0293284i | ||||
\(499\) | 7.47416 | − | 5.96044i | 0.334589 | − | 0.266826i | −0.441754 | − | 0.897136i | \(-0.645644\pi\) |
0.776343 | + | 0.630310i | \(0.217072\pi\) | |||||||
\(500\) | 0.852034 | + | 0.377901i | 0.0381041 | + | 0.0169002i | ||||
\(501\) | 14.0591 | − | 17.6295i | 0.628112 | − | 0.787628i | ||||
\(502\) | 2.87987 | + | 22.3990i | 0.128535 | + | 0.999716i | ||||
\(503\) | −24.9628 | + | 31.3024i | −1.11304 | + | 1.39570i | −0.204008 | + | 0.978969i | \(0.565397\pi\) |
−0.909028 | + | 0.416735i | \(0.863174\pi\) | |||||||
\(504\) | −7.47792 | + | 0.284063i | −0.333093 | + | 0.0126532i | ||||
\(505\) | 0.152192 | + | 0.190842i | 0.00677245 | + | 0.00849238i | ||||
\(506\) | −42.3895 | + | 43.7392i | −1.88444 | + | 1.94445i | ||||
\(507\) | −3.22126 | + | 14.1133i | −0.143061 | + | 0.626792i | ||||
\(508\) | −21.9526 | − | 25.8243i | −0.973991 | − | 1.14577i | ||||
\(509\) | − | 21.8877i | − | 0.970156i | −0.874471 | − | 0.485078i | \(-0.838791\pi\) | ||
0.874471 | − | 0.485078i | \(-0.161209\pi\) | |||||||
\(510\) | 0.0156743 | + | 0.121911i | 0.000694068 | + | 0.00539831i | ||||
\(511\) | −13.7138 | + | 21.3936i | −0.606664 | + | 0.946396i | ||||
\(512\) | −5.66890 | − | 21.9058i | −0.250532 | − | 0.968108i | ||||
\(513\) | 0.810667 | + | 3.55176i | 0.0357918 | + | 0.156814i | ||||
\(514\) | −10.3405 | + | 17.0440i | −0.456100 | + | 0.751777i | ||||
\(515\) | 0.625527 | − | 0.498841i | 0.0275640 | − | 0.0219816i | ||||
\(516\) | −6.38596 | + | 8.54381i | −0.281126 | + | 0.376120i | ||||
\(517\) | 3.13958 | − | 0.716588i | 0.138079 | − | 0.0315155i | ||||
\(518\) | −29.4121 | − | 6.50831i | −1.29229 | − | 0.285959i | ||||
\(519\) | −15.7733 | − | 3.60016i | −0.692373 | − | 0.158030i | ||||
\(520\) | 0.339782 | − | 0.601803i | 0.0149004 | − | 0.0263908i | ||||
\(521\) | − | 23.6652i | − | 1.03679i | −0.855141 | − | 0.518395i | \(-0.826530\pi\) | ||
0.855141 | − | 0.518395i | \(-0.173470\pi\) | |||||||
\(522\) | 0.373495 | + | 2.90497i | 0.0163475 | + | 0.127147i | ||||
\(523\) | −13.4207 | + | 6.46306i | −0.586846 | + | 0.282610i | −0.703652 | − | 0.710545i | \(-0.748449\pi\) |
0.116806 | + | 0.993155i | \(0.462734\pi\) | |||||||
\(524\) | 0.766947 | + | 0.149934i | 0.0335042 | + | 0.00654988i | ||||
\(525\) | −6.93355 | − | 11.2594i | −0.302605 | − | 0.491400i | ||||
\(526\) | −23.1035 | − | 7.68010i | −1.00736 | − | 0.334868i | ||||
\(527\) | 11.3318 | + | 2.58641i | 0.493621 | + | 0.112666i | ||||
\(528\) | 16.0172 | − | 14.5046i | 0.697061 | − | 0.631231i | ||||
\(529\) | 36.5463 | − | 17.5997i | 1.58897 | − | 0.765206i | ||||
\(530\) | 0.0174544 | − | 0.0287697i | 0.000758172 | − | 0.00124967i | ||||
\(531\) | −3.00005 | − | 1.44475i | −0.130191 | − | 0.0626967i | ||||
\(532\) | 18.3331 | + | 5.95966i | 0.794843 | + | 0.258384i | ||||
\(533\) | 19.0690 | − | 9.18314i | 0.825969 | − | 0.397766i | ||||
\(534\) | 2.23195 | − | 23.0500i | 0.0965857 | − | 0.997471i | ||||
\(535\) | −0.0562527 | − | 0.246459i | −0.00243201 | − | 0.0106554i | ||||
\(536\) | 15.5467 | + | 22.3385i | 0.671513 | + | 0.964874i | ||||
\(537\) | −0.192671 | − | 0.153650i | −0.00831437 | − | 0.00663049i | ||||
\(538\) | −0.603152 | − | 1.64077i | −0.0260037 | − | 0.0707388i | ||||
\(539\) | −37.8090 | − | 0.683774i | −1.62855 | − | 0.0294522i | ||||
\(540\) | 0.0603822 | + | 0.0710315i | 0.00259844 | + | 0.00305671i | ||||
\(541\) | 16.8716 | − | 21.1564i | 0.725368 | − | 0.909583i | −0.273261 | − | 0.961940i | \(-0.588102\pi\) |
0.998628 | + | 0.0523575i | \(0.0166735\pi\) | |||||||
\(542\) | 12.5338 | + | 1.21366i | 0.538373 | + | 0.0521310i | ||||
\(543\) | −7.27964 | + | 1.66153i | −0.312399 | + | 0.0713031i | ||||
\(544\) | 10.1976 | + | 2.69368i | 0.437221 | + | 0.115491i | ||||
\(545\) | −0.341919 | − | 0.710002i | −0.0146462 | − | 0.0304131i | ||||
\(546\) | −17.6138 | + | 8.62668i | −0.753803 | + | 0.369188i | ||||
\(547\) | 17.0893 | − | 35.4864i | 0.730687 | − | 1.51729i | −0.120665 | − | 0.992693i | \(-0.538503\pi\) |
0.851352 | − | 0.524595i | \(-0.175783\pi\) | |||||||
\(548\) | −10.2761 | − | 2.00893i | −0.438975 | − | 0.0858170i | ||||
\(549\) | 5.35767 | + | 11.1253i | 0.228660 | + | 0.474817i | ||||
\(550\) | 36.2330 | + | 12.0446i | 1.54498 | + | 0.513584i | ||||
\(551\) | 1.67892 | − | 7.35581i | 0.0715242 | − | 0.313368i | ||||
\(552\) | −20.9111 | + | 8.43982i | −0.890037 | + | 0.359223i | ||||
\(553\) | −5.45932 | − | 16.0664i | −0.232154 | − | 0.683211i | ||||
\(554\) | −3.54441 | − | 2.15038i | −0.150588 | − | 0.0913609i | ||||
\(555\) | 0.162829 | + | 0.338119i | 0.00691173 | + | 0.0143523i | ||||
\(556\) | −11.1341 | − | 21.3794i | −0.472192 | − | 0.906688i | ||||
\(557\) | −16.4411 | −0.696631 | −0.348315 | − | 0.937377i | \(-0.613246\pi\) | ||||
−0.348315 | + | 0.937377i | \(0.613246\pi\) | |||||||
\(558\) | 8.27460 | − | 3.04176i | 0.350292 | − | 0.128768i | ||||
\(559\) | −6.22081 | + | 27.2551i | −0.263112 | + | 1.15277i | ||||
\(560\) | 0.486549 | − | 0.0814364i | 0.0205604 | − | 0.00344132i | ||||
\(561\) | 2.24135 | + | 9.82000i | 0.0946299 | + | 0.414601i | ||||
\(562\) | 2.50659 | + | 3.85382i | 0.105734 | + | 0.162564i | ||||
\(563\) | 23.6382 | + | 29.6414i | 0.996231 | + | 1.24923i | 0.968343 | + | 0.249623i | \(0.0803068\pi\) |
0.0278882 | + | 0.999611i | \(0.491122\pi\) | |||||||
\(564\) | 1.17008 | + | 0.228744i | 0.0492694 | + | 0.00963188i | ||||
\(565\) | 0.610356 | − | 0.139310i | 0.0256779 | − | 0.00586080i | ||||
\(566\) | 18.6191 | + | 28.6264i | 0.782619 | + | 1.20326i | ||||
\(567\) | −0.272447 | − | 2.63169i | −0.0114417 | − | 0.110520i | ||||
\(568\) | −3.56966 | + | 3.92211i | −0.149780 | + | 0.164568i | ||||
\(569\) | −22.9076 | −0.960337 | −0.480168 | − | 0.877176i | \(-0.659424\pi\) | ||||
−0.480168 | + | 0.877176i | \(0.659424\pi\) | |||||||
\(570\) | −0.0828626 | − | 0.225414i | −0.00347073 | − | 0.00944154i | ||||
\(571\) | 9.81062 | + | 2.23921i | 0.410562 | + | 0.0937080i | 0.422813 | − | 0.906217i | \(-0.361043\pi\) |
−0.0122513 | + | 0.999925i | \(0.503900\pi\) | |||||||
\(572\) | 22.9616 | − | 51.7703i | 0.960072 | − | 2.16463i | ||||
\(573\) | 0.949234 | − | 0.756989i | 0.0396548 | − | 0.0316237i | ||||
\(574\) | 13.6549 | + | 6.46469i | 0.569943 | + | 0.269831i | ||||
\(575\) | −31.1528 | − | 24.8436i | −1.29916 | − | 1.03605i | ||||
\(576\) | 7.59785 | − | 2.50453i | 0.316577 | − | 0.104355i | ||||
\(577\) | −1.75522 | − | 1.39974i | −0.0730708 | − | 0.0582720i | 0.586273 | − | 0.810113i | \(-0.300594\pi\) |
−0.659344 | + | 0.751841i | \(0.729166\pi\) | |||||||
\(578\) | 13.3099 | − | 13.7337i | 0.553620 | − | 0.571249i | ||||
\(579\) | 6.25751 | + | 7.84667i | 0.260053 | + | 0.326096i | ||||
\(580\) | −0.0488413 | − | 0.186799i | −0.00202802 | − | 0.00775639i | ||||
\(581\) | 10.6955 | + | 6.85609i | 0.443724 | + | 0.284438i | ||||
\(582\) | 6.17740 | + | 5.98678i | 0.256062 | + | 0.248160i | ||||
\(583\) | 1.19646 | − | 2.48449i | 0.0495525 | − | 0.102897i | ||||
\(584\) | 7.75755 | − | 26.0351i | 0.321010 | − | 1.07734i | ||||
\(585\) | 0.220143 | + | 0.106015i | 0.00910180 | + | 0.00438320i | ||||
\(586\) | 28.8528 | + | 9.59127i | 1.19190 | + | 0.396212i | ||||
\(587\) | 26.2199 | 1.08221 | 0.541105 | − | 0.840955i | \(-0.318006\pi\) | ||||
0.541105 | + | 0.840955i | \(0.318006\pi\) | |||||||
\(588\) | −12.6930 | − | 5.90662i | −0.523450 | − | 0.243585i | ||||
\(589\) | −22.7105 | −0.935770 | ||||||||
\(590\) | 0.208301 | + | 0.0692435i | 0.00857560 | + | 0.00285071i | ||||
\(591\) | −9.93103 | − | 4.78253i | −0.408508 | − | 0.196727i | ||||
\(592\) | 32.1402 | − | 2.01720i | 1.32096 | − | 0.0829064i | ||||
\(593\) | −17.4668 | + | 36.2702i | −0.717276 | + | 1.48944i | 0.148450 | + | 0.988920i | \(0.452572\pi\) |
−0.865726 | + | 0.500519i | \(0.833143\pi\) | |||||||
\(594\) | 5.48615 | + | 5.31686i | 0.225100 | + | 0.218153i | ||||
\(595\) | −0.0779076 | + | 0.216352i | −0.00319390 | + | 0.00886958i | ||||
\(596\) | 39.7701 | − | 10.3985i | 1.62905 | − | 0.425939i | ||||
\(597\) | 4.99223 | + | 6.26006i | 0.204318 | + | 0.256207i | ||||
\(598\) | −41.1309 | + | 42.4406i | −1.68197 | + | 1.73553i | ||||
\(599\) | −1.44658 | − | 1.15361i | −0.0591057 | − | 0.0471352i | 0.593491 | − | 0.804840i | \(-0.297749\pi\) |
−0.652597 | + | 0.757705i | \(0.726321\pi\) | |||||||
\(600\) | 10.4543 | + | 9.51489i | 0.426796 | + | 0.388444i | ||||
\(601\) | −22.6368 | − | 18.0522i | −0.923373 | − | 0.736365i | 0.0414847 | − | 0.999139i | \(-0.486791\pi\) |
−0.964857 | + | 0.262774i | \(0.915363\pi\) | |||||||
\(602\) | −17.9215 | + | 8.77733i | −0.730424 | + | 0.357737i | ||||
\(603\) | −7.52300 | + | 5.99939i | −0.306360 | + | 0.244314i | ||||
\(604\) | 23.3508 | + | 10.3567i | 0.950130 | + | 0.421409i | ||||
\(605\) | −0.826352 | − | 0.188609i | −0.0335960 | − | 0.00766806i | ||||
\(606\) | 2.55514 | + | 6.95083i | 0.103796 | + | 0.282358i | ||||
\(607\) | −14.8862 | −0.604213 | −0.302107 | − | 0.953274i | \(-0.597690\pi\) | ||||
−0.302107 | + | 0.953274i | \(0.597690\pi\) | |||||||
\(608\) | −20.5967 | − | 0.697454i | −0.835307 | − | 0.0282855i | ||||
\(609\) | −1.85643 | + | 5.15537i | −0.0752263 | + | 0.208906i | ||||
\(610\) | −0.443832 | − | 0.682379i | −0.0179702 | − | 0.0276287i | ||||
\(611\) | 3.04636 | − | 0.695313i | 0.123243 | − | 0.0281293i | ||||
\(612\) | −0.715469 | + | 3.65980i | −0.0289211 | + | 0.147938i | ||||
\(613\) | −17.9532 | − | 22.5126i | −0.725122 | − | 0.909275i | 0.273493 | − | 0.961874i | \(-0.411821\pi\) |
−0.998616 | + | 0.0525992i | \(0.983249\pi\) | |||||||
\(614\) | −1.29909 | − | 1.99731i | −0.0524269 | − | 0.0806050i | ||||
\(615\) | −0.0418820 | − | 0.183497i | −0.00168884 | − | 0.00739931i | ||||
\(616\) | 39.0427 | − | 10.4853i | 1.57307 | − | 0.422463i | ||||
\(617\) | −2.68207 | + | 11.7509i | −0.107976 | + | 0.473074i | 0.891810 | + | 0.452410i | \(0.149435\pi\) |
−0.999786 | + | 0.0206649i | \(0.993422\pi\) | |||||||
\(618\) | 22.7828 | − | 8.37502i | 0.916460 | − | 0.336893i | ||||
\(619\) | −31.9913 | −1.28584 | −0.642919 | − | 0.765934i | \(-0.722277\pi\) | ||||
−0.642919 | + | 0.765934i | \(0.722277\pi\) | |||||||
\(620\) | −0.515456 | + | 0.268443i | −0.0207012 | + | 0.0107809i | ||||
\(621\) | −3.45921 | − | 7.18312i | −0.138813 | − | 0.288249i | ||||
\(622\) | 33.0459 | + | 20.0488i | 1.32502 | + | 0.803885i | ||||
\(623\) | 23.3806 | − | 36.4738i | 0.936726 | − | 1.46129i | ||||
\(624\) | 15.5417 | − | 14.0739i | 0.622165 | − | 0.563408i | ||||
\(625\) | −5.55577 | + | 24.3414i | −0.222231 | + | 0.973657i | ||||
\(626\) | 21.8512 | + | 7.26378i | 0.873348 | + | 0.290319i | ||||
\(627\) | −8.53912 | − | 17.7317i | −0.341020 | − | 0.708134i | ||||
\(628\) | −6.96998 | + | 35.6531i | −0.278133 | + | 1.42272i | ||||
\(629\) | −6.51309 | + | 13.5246i | −0.259694 | + | 0.539260i | ||||
\(630\) | 0.0399370 | + | 0.169780i | 0.00159113 | + | 0.00676419i | ||||
\(631\) | 0.432844 | + | 0.898809i | 0.0172312 | + | 0.0357810i | 0.909407 | − | 0.415908i | \(-0.136536\pi\) |
−0.892176 | + | 0.451689i | \(0.850822\pi\) | |||||||
\(632\) | 10.3623 | + | 14.8892i | 0.412189 | + | 0.592261i | ||||
\(633\) | 3.21371 | − | 0.733508i | 0.127733 | − | 0.0291543i | ||||
\(634\) | 24.4206 | + | 2.36466i | 0.969865 | + | 0.0939127i | ||||
\(635\) | −0.492540 | + | 0.617625i | −0.0195458 | + | 0.0245097i | ||||
\(636\) | 0.777844 | − | 0.661227i | 0.0308435 | − | 0.0262194i | ||||
\(637\) | −36.6864 | − | 0.663473i | −1.45357 | − | 0.0262878i | ||||
\(638\) | −5.45915 | − | 14.8507i | −0.216130 | − | 0.587944i | ||||
\(639\) | −1.46595 | − | 1.16905i | −0.0579919 | − | 0.0462470i | ||||
\(640\) | −0.475724 | + | 0.227628i | −0.0188046 | + | 0.00899777i | ||||
\(641\) | −1.09975 | − | 4.81831i | −0.0434374 | − | 0.190312i | 0.948554 | − | 0.316614i | \(-0.102546\pi\) |
−0.991992 | + | 0.126303i | \(0.959689\pi\) | |||||||
\(642\) | 0.739191 | − | 7.63385i | 0.0291735 | − | 0.301284i | ||||
\(643\) | −10.1570 | + | 4.89137i | −0.400555 | + | 0.192897i | −0.623305 | − | 0.781978i | \(-0.714211\pi\) |
0.222751 | + | 0.974875i | \(0.428496\pi\) | |||||||
\(644\) | −42.0170 | − | 3.78758i | −1.65570 | − | 0.149252i | ||||
\(645\) | 0.223988 | + | 0.107867i | 0.00881951 | + | 0.00424725i | ||||
\(646\) | 4.98280 | − | 8.21300i | 0.196046 | − | 0.323136i | ||||
\(647\) | −20.6885 | + | 9.96305i | −0.813349 | + | 0.391688i | −0.793844 | − | 0.608122i | \(-0.791923\pi\) |
−0.0195048 | + | 0.999810i | \(0.506209\pi\) | |||||||
\(648\) | 1.05860 | + | 2.62286i | 0.0415855 | + | 0.103036i | ||||
\(649\) | 17.5372 | + | 4.00274i | 0.688394 | + | 0.157121i | ||||
\(650\) | 35.1572 | + | 11.6870i | 1.37898 | + | 0.458402i | ||||
\(651\) | 16.3721 | + | 1.99476i | 0.641673 | + | 0.0781807i | ||||
\(652\) | −0.663163 | + | 3.39224i | −0.0259715 | + | 0.132850i | ||||
\(653\) | −30.0701 | + | 14.4810i | −1.17673 | + | 0.566685i | −0.916958 | − | 0.398985i | \(-0.869363\pi\) |
−0.259775 | + | 0.965669i | \(0.583648\pi\) | |||||||
\(654\) | −3.04882 | − | 23.7131i | −0.119218 | − | 0.927254i | ||||
\(655\) | − | 0.0182136i | − | 0.000711665i | ||||||
\(656\) | −15.9403 | − | 2.60056i | −0.622362 | − | 0.101535i | ||||
\(657\) | 9.36391 | + | 2.13725i | 0.365321 | + | 0.0833821i | ||||
\(658\) | 1.75303 | + | 1.37908i | 0.0683400 | + | 0.0537622i | ||||
\(659\) | 16.5044 | − | 3.76703i | 0.642922 | − | 0.146743i | 0.111384 | − | 0.993777i | \(-0.464472\pi\) |
0.531537 | + | 0.847035i | \(0.321614\pi\) | |||||||
\(660\) | −0.403403 | − | 0.301518i | −0.0157024 | − | 0.0117366i | ||||
\(661\) | −17.1836 | + | 13.7034i | −0.668364 | + | 0.533002i | −0.897845 | − | 0.440311i | \(-0.854868\pi\) |
0.229482 | + | 0.973313i | \(0.426297\pi\) | |||||||
\(662\) | 11.8120 | − | 19.4693i | 0.459085 | − | 0.756697i | ||||
\(663\) | 2.17481 | + | 9.52845i | 0.0844625 | + | 0.370054i | ||||
\(664\) | −13.0160 | − | 3.87831i | −0.505118 | − | 0.150508i | ||||
\(665\) | 0.0543405 | − | 0.446003i | 0.00210723 | − | 0.0172953i | ||||
\(666\) | 1.45192 | + | 11.2927i | 0.0562606 | + | 0.437583i | ||||
\(667\) | 16.5116i | 0.639332i | ||||||||
\(668\) | −34.3606 | + | 29.2091i | −1.32945 | + | 1.13014i | ||||
\(669\) | 3.49760 | − | 15.3240i | 0.135225 | − | 0.592460i | ||||
\(670\) | 0.441450 | − | 0.455506i | 0.0170547 | − | 0.0175977i | ||||
\(671\) | −41.5911 | − | 52.1536i | −1.60561 | − | 2.01337i | ||||
\(672\) | 14.7870 | + | 2.31189i | 0.570421 | + | 0.0891831i | ||||
\(673\) | −13.2490 | + | 16.6138i | −0.510713 | + | 0.640414i | −0.968608 | − | 0.248592i | \(-0.920032\pi\) |
0.457895 | + | 0.889006i | \(0.348604\pi\) | |||||||
\(674\) | −5.83048 | − | 45.3482i | −0.224582 | − | 1.74675i | ||||
\(675\) | −3.11609 | + | 3.90746i | −0.119939 | + | 0.150398i | ||||
\(676\) | 11.7384 | − | 26.4661i | 0.451479 | − | 1.01793i | ||||
\(677\) | 4.67935 | − | 3.73166i | 0.179842 | − | 0.143419i | −0.529431 | − | 0.848353i | \(-0.677595\pi\) |
0.709273 | + | 0.704934i | \(0.249023\pi\) | |||||||
\(678\) | 18.9052 | + | 1.83061i | 0.726051 | + | 0.0703040i | ||||
\(679\) | 5.17784 | + | 15.2380i | 0.198707 | + | 0.584780i | ||||
\(680\) | 0.0160141 | − | 0.245307i | 0.000614114 | − | 0.00940709i | ||||
\(681\) | 13.3538 | + | 6.43084i | 0.511718 | + | 0.246430i | ||||
\(682\) | −39.9236 | + | 25.9670i | −1.52875 | + | 0.994328i | ||||
\(683\) | 7.36978 | − | 15.3035i | 0.281997 | − | 0.585573i | −0.711070 | − | 0.703121i | \(-0.751789\pi\) |
0.993067 | + | 0.117548i | \(0.0375035\pi\) | |||||||
\(684\) | −0.228313 | − | 7.28263i | −0.00872977 | − | 0.278458i | ||||
\(685\) | 0.244040i | 0.00932429i | ||||||||
\(686\) | −16.0946 | − | 20.6631i | −0.614494 | − | 0.788922i | ||||
\(687\) | 11.6358i | 0.443933i | ||||||||
\(688\) | 15.8131 | − | 14.3197i | 0.602869 | − | 0.545934i | ||||
\(689\) | 1.16094 | − | 2.41072i | 0.0442284 | − | 0.0918411i | ||||
\(690\) | 0.286562 | + | 0.440581i | 0.0109092 | + | 0.0167726i | ||||
\(691\) | −45.7148 | − | 22.0151i | −1.73907 | − | 0.837494i | −0.983142 | − | 0.182845i | \(-0.941469\pi\) |
−0.755933 | − | 0.654649i | \(-0.772816\pi\) | |||||||
\(692\) | 29.5791 | + | 13.1192i | 1.12443 | + | 0.498716i | ||||
\(693\) | 4.59844 | + | 13.5329i | 0.174680 | + | 0.514071i | ||||
\(694\) | −3.12545 | + | 32.2775i | −0.118640 | + | 1.22524i | ||||
\(695\) | −0.439244 | + | 0.350285i | −0.0166615 | + | 0.0132871i | ||||
\(696\) | 0.381594 | − | 5.84532i | 0.0144643 | − | 0.221566i | ||||
\(697\) | 4.69396 | − | 5.88604i | 0.177797 | − | 0.222950i | ||||
\(698\) | 23.8131 | − | 3.06168i | 0.901338 | − | 0.115886i | ||||
\(699\) | −6.61196 | + | 8.29113i | −0.250087 | + | 0.313599i | ||||
\(700\) | 9.28896 | + | 24.7610i | 0.351090 | + | 0.935878i | ||||
\(701\) | 23.1859 | + | 29.0742i | 0.875719 | + | 1.09812i | 0.994452 | + | 0.105191i | \(0.0335453\pi\) |
−0.118733 | + | 0.992926i | \(0.537883\pi\) | |||||||
\(702\) | 5.32327 | + | 5.15900i | 0.200914 | + | 0.194714i | ||||
\(703\) | 6.52657 | − | 28.5948i | 0.246154 | − | 1.07847i | ||||
\(704\) | −37.0051 | + | 22.3240i | −1.39468 | + | 0.841368i | ||||
\(705\) | − | 0.0277874i | − | 0.00104653i | ||||||
\(706\) | 38.8298 | − | 4.99240i | 1.46138 | − | 0.187891i | ||||
\(707\) | −1.67564 | + | 13.7529i | −0.0630188 | + | 0.517231i | ||||
\(708\) | 5.33424 | + | 3.98701i | 0.200473 | + | 0.149841i | ||||
\(709\) | 0.372392 | + | 1.63155i | 0.0139855 | + | 0.0612743i | 0.981439 | − | 0.191774i | \(-0.0614240\pi\) |
−0.967454 | + | 0.253048i | \(0.918567\pi\) | |||||||
\(710\) | 0.105677 | + | 0.0641139i | 0.00396599 | + | 0.00240615i | ||||
\(711\) | −5.01428 | + | 3.99876i | −0.188050 | + | 0.149965i | ||||
\(712\) | −13.2258 | + | 44.3871i | −0.495658 | + | 1.66348i | ||||
\(713\) | 48.4541 | − | 11.0593i | 1.81462 | − | 0.414176i | ||||
\(714\) | −4.31350 | + | 5.48313i | −0.161429 | + | 0.205201i | ||||
\(715\) | −1.28687 | − | 0.293721i | −0.0481264 | − | 0.0109845i | ||||
\(716\) | 0.319224 | + | 0.375523i | 0.0119299 | + | 0.0140340i | ||||
\(717\) | − | 19.9555i | − | 0.745253i | ||||||
\(718\) | −41.2279 | + | 5.30073i | −1.53861 | + | 0.197821i | ||||
\(719\) | 22.6809 | − | 10.9226i | 0.845856 | − | 0.407343i | 0.0398186 | − | 0.999207i | \(-0.487322\pi\) |
0.806038 | + | 0.591864i | \(0.201608\pi\) | |||||||
\(720\) | −0.0912643 | − | 0.162594i | −0.00340122 | − | 0.00605951i | ||||
\(721\) | 45.0781 | + | 5.49226i | 1.67879 | + | 0.204542i | ||||
\(722\) | 2.55523 | − | 7.68674i | 0.0950959 | − | 0.286071i | ||||
\(723\) | 18.2252 | + | 4.15979i | 0.677804 | + | 0.154704i | ||||
\(724\) | 14.9264 | − | 0.467947i | 0.554734 | − | 0.0173911i | ||||
\(725\) | 9.32562 | − | 4.49098i | 0.346345 | − | 0.166791i | ||||
\(726\) | −21.9854 | − | 13.3385i | −0.815955 | − | 0.495037i | ||||
\(727\) | −6.48005 | − | 3.12063i | −0.240332 | − | 0.115738i | 0.309842 | − | 0.950788i | \(-0.399724\pi\) |
−0.550173 | + | 0.835051i | \(0.685438\pi\) | |||||||
\(728\) | 37.8835 | − | 10.1739i | 1.40406 | − | 0.377072i | ||||
\(729\) | −0.900969 | + | 0.433884i | −0.0333692 | + | 0.0160698i | ||||
\(730\) | −0.630217 | − | 0.0610243i | −0.0233254 | − | 0.00225861i | ||||
\(731\) | 2.21279 | + | 9.69485i | 0.0818429 | + | 0.358577i | ||||
\(732\) | −6.24722 | − | 23.8931i | −0.230904 | − | 0.883116i | ||||
\(733\) | −15.3744 | − | 12.2607i | −0.567868 | − | 0.452859i | 0.296987 | − | 0.954881i | \(-0.404018\pi\) |
−0.864855 | + | 0.502022i | \(0.832590\pi\) | |||||||
\(734\) | 7.64034 | − | 2.80861i | 0.282010 | − | 0.103668i | ||||
\(735\) | −0.0783486 | + | 0.316753i | −0.00288993 | + | 0.0116836i | ||||
\(736\) | 44.2839 | − | 8.54193i | 1.63232 | − | 0.314860i | ||||
\(737\) | 32.4097 | − | 40.6405i | 1.19383 | − | 1.49701i | ||||
\(738\) | 0.550352 | − | 5.68366i | 0.0202587 | − | 0.209218i | ||||
\(739\) | −24.7658 | + | 5.65262i | −0.911023 | + | 0.207935i | −0.652251 | − | 0.758003i | \(-0.726175\pi\) |
−0.258772 | + | 0.965938i | \(0.583318\pi\) | |||||||
\(740\) | −0.189864 | − | 0.726156i | −0.00697955 | − | 0.0266940i | ||||
\(741\) | −8.28559 | − | 17.2052i | −0.304379 | − | 0.632049i | ||||
\(742\) | 1.85921 | − | 0.437338i | 0.0682537 | − | 0.0160552i | ||||
\(743\) | −17.6325 | + | 36.6143i | −0.646874 | + | 1.34325i | 0.277117 | + | 0.960836i | \(0.410621\pi\) |
−0.923992 | + | 0.382413i | \(0.875093\pi\) | |||||||
\(744\) | −17.4090 | + | 2.79534i | −0.638243 | + | 0.102482i | ||||
\(745\) | −0.415697 | − | 0.863204i | −0.0152300 | − | 0.0316253i | ||||
\(746\) | −7.49233 | + | 22.5387i | −0.274314 | + | 0.825200i | ||||
\(747\) | 1.06850 | − | 4.68139i | 0.0390942 | − | 0.171283i | ||||
\(748\) | −0.631246 | − | 20.1352i | −0.0230806 | − | 0.736216i | ||||
\(749\) | 7.74336 | − | 12.0796i | 0.282936 | − | 0.441381i | ||||
\(750\) | 0.341864 | − | 0.563484i | 0.0124831 | − | 0.0205755i | ||||
\(751\) | 11.5481 | + | 23.9798i | 0.421396 | + | 0.875037i | 0.998303 | + | 0.0582276i | \(0.0185449\pi\) |
−0.576908 | + | 0.816809i | \(0.695741\pi\) | |||||||
\(752\) | −2.20891 | − | 0.897979i | −0.0805508 | − | 0.0327459i | ||||
\(753\) | 15.9689 | 0.581938 | ||||||||
\(754\) | −5.29706 | − | 14.4098i | −0.192908 | − | 0.524773i | ||||
\(755\) | 0.132481 | − | 0.580439i | 0.00482149 | − | 0.0211243i | ||||
\(756\) | −0.475071 | + | 5.27013i | −0.0172782 | + | 0.191673i | ||||
\(757\) | −6.96186 | − | 30.5019i | −0.253033 | − | 1.10861i | −0.928533 | − | 0.371250i | \(-0.878929\pi\) |
0.675500 | − | 0.737360i | \(-0.263928\pi\) | |||||||
\(758\) | −6.65057 | + | 4.32565i | −0.241560 | + | 0.157115i | ||||
\(759\) | 26.8535 | + | 33.6732i | 0.974720 | + | 1.22226i | ||||
\(760\) | 0.0761495 | + | 0.474248i | 0.00276223 | + | 0.0172028i | ||||
\(761\) | 8.29894 | − | 1.89418i | 0.300836 | − | 0.0686639i | −0.0694384 | − | 0.997586i | \(-0.522121\pi\) |
0.370275 | + | 0.928922i | \(0.379264\pi\) | |||||||
\(762\) | −20.0910 | + | 13.0675i | −0.727819 | + | 0.473386i | ||||
\(763\) | 15.1539 | − | 42.0829i | 0.548608 | − | 1.52350i | ||||
\(764\) | −2.15367 | + | 1.12161i | −0.0779172 | + | 0.0405783i | ||||
\(765\) | 0.0869137 | 0.00314237 | ||||||||
\(766\) | 19.3083 | − | 7.09776i | 0.697636 | − | 0.256453i | ||||
\(767\) | 17.0165 | + | 3.88390i | 0.614429 | + | 0.140239i | ||||
\(768\) | −15.8744 | + | 2.00052i | −0.572820 | + | 0.0721875i | ||||
\(769\) | −1.66663 | + | 1.32909i | −0.0601002 | + | 0.0479283i | −0.653079 | − | 0.757290i | \(-0.726523\pi\) |
0.592979 | + | 0.805218i | \(0.297952\pi\) | |||||||
\(770\) | −0.414429 | − | 0.846176i | −0.0149350 | − | 0.0304941i | ||||
\(771\) | 11.0211 | + | 8.78903i | 0.396915 | + | 0.316529i | ||||
\(772\) | −9.27155 | − | 17.8029i | −0.333691 | − | 0.640742i | ||||
\(773\) | 30.6234 | + | 24.4214i | 1.10145 | + | 0.878376i | 0.993278 | − | 0.115757i | \(-0.0369293\pi\) |
0.108171 | + | 0.994132i | \(0.465501\pi\) | |||||||
\(774\) | 5.41623 | + | 5.24909i | 0.194683 | + | 0.188675i | ||||
\(775\) | −19.4252 | − | 24.3585i | −0.697774 | − | 0.874981i | ||||
\(776\) | −9.82801 | − | 14.1215i | −0.352805 | − | 0.506933i | ||||
\(777\) | −7.21663 | + | 20.0408i | −0.258895 | + | 0.718961i | ||||
\(778\) | −25.4506 | + | 26.2610i | −0.912449 | + | 0.941503i | ||||
\(779\) | −6.38240 | + | 13.2532i | −0.228673 | + | 0.474845i | ||||
\(780\) | −0.391426 | − | 0.292566i | −0.0140153 | − | 0.0104755i | ||||
\(781\) | 9.12604 | + | 4.39487i | 0.326555 | + | 0.157261i | ||||
\(782\) | −6.63159 | + | 19.9494i | −0.237145 | + | 0.713388i | ||||
\(783\) | 2.07103 | 0.0740126 | ||||||||
\(784\) | 22.6478 | + | 16.4644i | 0.808851 | + | 0.588014i | ||||
\(785\) | 0.846699 | 0.0302200 | ||||||||
\(786\) | 0.174310 | − | 0.524366i | 0.00621744 | − | 0.0187035i | ||||
\(787\) | −18.9556 | − | 9.12855i | −0.675695 | − | 0.325398i | 0.0643766 | − | 0.997926i | \(-0.479494\pi\) |
−0.740072 | + | 0.672528i | \(0.765208\pi\) | |||||||
\(788\) | 17.6579 | + | 13.1981i | 0.629036 | + | 0.470165i | ||||
\(789\) | −7.46959 | + | 15.5108i | −0.265925 | + | 0.552198i | ||||
\(790\) | 0.294239 | − | 0.303608i | 0.0104685 | − | 0.0108019i | ||||
\(791\) | 29.9152 | + | 19.1764i | 1.06366 | + | 0.681835i | ||||
\(792\) | −8.72825 | − | 12.5413i | −0.310145 | − | 0.445637i | ||||
\(793\) | −40.3563 | − | 50.6051i | −1.43309 | − | 1.79704i | ||||
\(794\) | −2.17926 | − | 2.11201i | −0.0773392 | − | 0.0749525i | ||||
\(795\) | −0.0186032 | − | 0.0148356i | −0.000659789 | − | 0.000526164i | ||||
\(796\) | −7.39683 | − | 14.2032i | −0.262174 | − | 0.503418i | ||||
\(797\) | 15.5029 | + | 12.3631i | 0.549141 | + | 0.437925i | 0.858347 | − | 0.513070i | \(-0.171492\pi\) |
−0.309206 | + | 0.950995i | \(0.600063\pi\) | |||||||
\(798\) | 5.83284 | − | 12.3203i | 0.206480 | − | 0.436133i | ||||
\(799\) | 0.868991 | − | 0.692997i | 0.0307427 | − | 0.0245165i | ||||
\(800\) | −16.8691 | − | 22.6878i | −0.596414 | − | 0.802136i | ||||
\(801\) | −15.9645 | − | 3.64379i | −0.564077 | − | 0.128747i | ||||
\(802\) | 52.1586 | − | 19.1736i | 1.84178 | − | 0.677044i | ||||
\(803\) | −51.8863 | −1.83103 | ||||||||
\(804\) | 17.0686 | − | 8.88910i | 0.601962 | − | 0.313495i | ||||
\(805\) | 0.101252 | + | 0.978034i | 0.00356865 | + | 0.0344712i | ||||
\(806\) | −38.7382 | + | 25.1960i | −1.36450 | + | 0.887492i | ||||
\(807\) | −1.20512 | + | 0.275060i | −0.0424221 | + | 0.00968257i | ||||
\(808\) | −2.34814 | − | 14.6239i | −0.0826072 | − | 0.514466i | ||||
\(809\) | 17.7158 | + | 22.2149i | 0.622855 | + | 0.781035i | 0.988743 | − | 0.149624i | \(-0.0478062\pi\) |
−0.365888 | + | 0.930659i | \(0.619235\pi\) | |||||||
\(810\) | 0.0552615 | − | 0.0359431i | 0.00194169 | − | 0.00126291i | ||||
\(811\) | −2.47392 | − | 10.8389i | −0.0868710 | − | 0.380607i | 0.912739 | − | 0.408544i | \(-0.133963\pi\) |
−0.999610 | + | 0.0279372i | \(0.991106\pi\) | |||||||
\(812\) | 5.62212 | − | 9.40683i | 0.197298 | − | 0.330115i | ||||
\(813\) | 1.98137 | − | 8.68095i | 0.0694897 | − | 0.304454i | ||||
\(814\) | −21.2217 | − | 57.7302i | −0.743822 | − | 2.02344i | ||||
\(815\) | 0.0805596 | 0.00282188 | ||||||||
\(816\) | 2.80871 | − | 6.90906i | 0.0983244 | − | 0.241866i | ||||
\(817\) | −8.43029 | − | 17.5057i | −0.294939 | − | 0.612446i | ||||
\(818\) | −13.2678 | + | 21.8690i | −0.463899 | + | 0.764631i | ||||
\(819\) | 4.46191 | + | 13.1311i | 0.155912 | + | 0.458837i | ||||
\(820\) | 0.0117955 | + | 0.376247i | 0.000411916 | + | 0.0131391i | ||||
\(821\) | −3.26155 | + | 14.2898i | −0.113829 | + | 0.498717i | 0.885585 | + | 0.464478i | \(0.153758\pi\) |
−0.999414 | + | 0.0342391i | \(0.989099\pi\) | |||||||
\(822\) | −2.33554 | + | 7.02585i | −0.0814613 | + | 0.245055i | ||||
\(823\) | 8.51063 | + | 17.6725i | 0.296662 | + | 0.616025i | 0.995015 | − | 0.0997290i | \(-0.0317976\pi\) |
−0.698353 | + | 0.715754i | \(0.746083\pi\) | |||||||
\(824\) | −47.9329 | + | 7.69653i | −1.66982 | + | 0.268121i | ||||
\(825\) | 11.7145 | − | 24.3253i | 0.407846 | − | 0.846900i | ||||
\(826\) | 5.48004 | + | 11.1891i | 0.190675 | + | 0.389318i | ||||
\(827\) | −9.66170 | − | 20.0627i | −0.335970 | − | 0.697650i | 0.662717 | − | 0.748870i | \(-0.269403\pi\) |
−0.998687 | + | 0.0512202i | \(0.983689\pi\) | |||||||
\(828\) | 4.03354 | + | 15.4267i | 0.140175 | + | 0.536116i | ||||
\(829\) | −8.98641 | + | 2.05109i | −0.312111 | + | 0.0712373i | −0.375707 | − | 0.926738i | \(-0.622600\pi\) |
0.0635963 | + | 0.997976i | \(0.479743\pi\) | |||||||
\(830\) | −0.0305085 | + | 0.315070i | −0.00105896 | + | 0.0109363i | ||||
\(831\) | −1.82774 | + | 2.29191i | −0.0634036 | + | 0.0795055i | ||||
\(832\) | −35.9064 | + | 21.6612i | −1.24483 | + | 0.750967i | ||||
\(833\) | −11.8597 | + | 5.44939i | −0.410914 | + | 0.188810i | ||||
\(834\) | −15.9981 | + | 5.88092i | −0.553968 | + | 0.203640i | ||||
\(835\) | 0.821782 | + | 0.655350i | 0.0284389 | + | 0.0226793i | ||||
\(836\) | 9.95688 | + | 38.0812i | 0.344366 | + | 1.31706i | ||||
\(837\) | −1.38716 | − | 6.07754i | −0.0479472 | − | 0.210071i | ||||
\(838\) | 3.45696 | + | 0.334739i | 0.119419 | + | 0.0115634i | ||||
\(839\) | −15.2003 | + | 7.32006i | −0.524772 | + | 0.252717i | −0.677462 | − | 0.735557i | \(-0.736920\pi\) |
0.152691 | + | 0.988274i | \(0.451206\pi\) | |||||||
\(840\) | −0.0132413 | − | 0.348576i | −0.000456870 | − | 0.0120270i | ||||
\(841\) | 22.2637 | + | 10.7216i | 0.767713 | + | 0.369711i | ||||
\(842\) | −32.1939 | − | 19.5319i | −1.10948 | − | 0.673114i | ||||
\(843\) | 2.92884 | − | 1.41045i | 0.100875 | − | 0.0485786i | ||||
\(844\) | −6.58947 | + | 0.206582i | −0.226819 | + | 0.00711086i | ||||
\(845\) | −0.657877 | − | 0.150156i | −0.0226317 | − | 0.00516553i | ||||
\(846\) | 0.265934 | − | 0.799992i | 0.00914301 | − | 0.0275043i | ||||
\(847\) | −25.2261 | − | 40.9646i | −0.866778 | − | 1.40756i | ||||
\(848\) | −1.78052 | + | 0.999407i | −0.0611431 | + | 0.0343198i | ||||
\(849\) | 21.7556 | − | 10.4769i | 0.746649 | − | 0.359567i | ||||
\(850\) | 13.0709 | − | 1.68055i | 0.448330 | − | 0.0576423i | ||||
\(851\) | 64.1868i | 2.20030i | ||||||||
\(852\) | 2.42883 | + | 2.85719i | 0.0832102 | + | 0.0978856i | ||||
\(853\) | −18.4617 | − | 4.21376i | −0.632117 | − | 0.144277i | −0.105555 | − | 0.994413i | \(-0.533662\pi\) |
−0.526562 | + | 0.850137i | \(0.676519\pi\) | |||||||
\(854\) | 9.98226 | − | 45.1114i | 0.341586 | − | 1.54368i | ||||
\(855\) | −0.165562 | + | 0.0377885i | −0.00566211 | + | 0.00129234i | ||||
\(856\) | −4.38021 | + | 14.7004i | −0.149713 | + | 0.502450i | ||||
\(857\) | −10.1402 | + | 8.08654i | −0.346383 | + | 0.276231i | −0.781191 | − | 0.624292i | \(-0.785388\pi\) |
0.434808 | + | 0.900523i | \(0.356816\pi\) | |||||||
\(858\) | −34.2378 | − | 20.7719i | −1.16886 | − | 0.709142i | ||||
\(859\) | −6.47302 | − | 28.3602i | −0.220857 | − | 0.967637i | −0.956835 | − | 0.290632i | \(-0.906135\pi\) |
0.735978 | − | 0.677005i | \(-0.236723\pi\) | |||||||
\(860\) | −0.398262 | − | 0.297675i | −0.0135806 | − | 0.0101506i | ||||
\(861\) | 5.76519 | − | 8.99369i | 0.196477 | − | 0.306504i | ||||
\(862\) | 32.4959 | − | 4.17803i | 1.10681 | − | 0.142304i | ||||
\(863\) | 5.24143i | 0.178420i | 0.996013 | + | 0.0892101i | \(0.0284343\pi\) | ||||
−0.996013 | + | 0.0892101i | \(0.971566\pi\) | |||||||
\(864\) | −1.07140 | − | 5.55447i | −0.0364499 | − | 0.188967i | ||||
\(865\) | 0.167818 | − | 0.735259i | 0.00570599 | − | 0.0249996i | ||||
\(866\) | −1.89632 | − | 1.83780i | −0.0644397 | − | 0.0624511i | ||||
\(867\) | −8.43176 | − | 10.5731i | −0.286358 | − | 0.359081i | ||||
\(868\) | −31.3704 | − | 10.1978i | −1.06478 | − | 0.346135i | ||||
\(869\) | 21.6020 | − | 27.0880i | 0.732796 | − | 0.918898i | ||||
\(870\) | −0.135412 | + | 0.0174101i | −0.00459091 | + | 0.000590259i | ||||
\(871\) | 31.4475 | − | 39.4339i | 1.06556 | − | 1.33617i | ||||
\(872\) | −3.11493 | + | 47.7149i | −0.105485 | + | 1.61583i | ||||
\(873\) | 4.75575 | − | 3.79259i | 0.160958 | − | 0.128360i | ||||
\(874\) | 3.95891 | − | 40.8849i | 0.133912 | − | 1.38295i | ||||
\(875\) | 1.04992 | − | 0.646542i | 0.0354938 | − | 0.0218571i | ||||
\(876\) | −17.5598 | − | 7.78825i | −0.593290 | − | 0.263141i | ||||
\(877\) | −35.0391 | − | 16.8739i | −1.18319 | − | 0.569792i | −0.264348 | − | 0.964427i | \(-0.585157\pi\) |
−0.918838 | + | 0.394635i | \(0.870871\pi\) | |||||||
\(878\) | 3.96412 | + | 6.09473i | 0.133782 | + | 0.205687i | ||||
\(879\) | 9.32838 | − | 19.3706i | 0.314638 | − | 0.653354i | ||||
\(880\) | 0.676117 | + | 0.746629i | 0.0227919 | + | 0.0251688i | ||||
\(881\) | − | 33.8683i | − | 1.14105i | −0.821279 | − | 0.570526i | \(-0.806739\pi\) | ||
0.821279 | − | 0.570526i | \(-0.193261\pi\) | |||||||
\(882\) | −5.28706 | + | 8.36941i | −0.178025 | + | 0.281813i | ||||
\(883\) | 41.3383i | 1.39114i | 0.718457 | + | 0.695571i | \(0.244849\pi\) | ||||
−0.718457 | + | 0.695571i | \(0.755151\pi\) | |||||||
\(884\) | −0.612504 | − | 19.5374i | −0.0206007 | − | 0.657113i | ||||
\(885\) | 0.0673456 | − | 0.139844i | 0.00226380 | − | 0.00470082i | ||||
\(886\) | 4.70815 | − | 3.06227i | 0.158173 | − | 0.102879i | ||||
\(887\) | −2.47038 | − | 1.18967i | −0.0829474 | − | 0.0399454i | 0.391950 | − | 0.919986i | \(-0.371801\pi\) |
−0.474897 | + | 0.880041i | \(0.657515\pi\) | |||||||
\(888\) | 1.48340 | − | 22.7229i | 0.0497796 | − | 0.762532i | ||||
\(889\) | −44.5994 | + | 4.61719i | −1.49582 | + | 0.154855i | ||||
\(890\) | 1.07445 | + | 0.104040i | 0.0360158 | + | 0.00348743i | ||||
\(891\) | 4.22358 | − | 3.36820i | 0.141495 | − | 0.112839i | ||||
\(892\) | −12.7454 | + | 28.7365i | −0.426749 | + | 0.962170i | ||||
\(893\) | −1.35404 | + | 1.69791i | −0.0453113 | + | 0.0568185i | ||||
\(894\) | −3.70668 | − | 28.8298i | −0.123970 | − | 0.964212i | ||||
\(895\) | 0.00716225 | − | 0.00898118i | 0.000239408 | − | 0.000300208i | ||||
\(896\) | −28.1374 | − | 10.2120i | −0.940005 | − | 0.341159i | ||||
\(897\) | 26.0562 | + | 32.6734i | 0.869991 | + | 1.09093i | ||||
\(898\) | −11.2952 | + | 11.6549i | −0.376926 | + | 0.388928i | ||||
\(899\) | −2.87285 | + | 12.5868i | −0.0958149 | + | 0.419792i | ||||
\(900\) | 7.61579 | − | 6.47401i | 0.253860 | − | 0.215800i | ||||
\(901\) | − | 0.951765i | − | 0.0317079i | ||||||
\(902\) | 3.93374 | + | 30.5958i | 0.130979 | + | 1.01873i | ||||
\(903\) | 4.53984 | + | 13.3604i | 0.151076 | + | 0.444606i | ||||
\(904\) | −36.4056 | − | 10.8476i | −1.21083 | − | 0.360786i | ||||
\(905\) | −0.0774506 | − | 0.339333i | −0.00257455 | − | 0.0112798i | ||||
\(906\) | 9.36909 | − | 15.4428i | 0.311267 | − | 0.513053i | ||||
\(907\) | −22.9412 | + | 18.2950i | −0.761750 | + | 0.607476i | −0.925378 | − | 0.379047i | \(-0.876252\pi\) |
0.163627 | + | 0.986522i | \(0.447681\pi\) | |||||||
\(908\) | −23.7437 | − | 17.7469i | −0.787962 | − | 0.588952i | ||||
\(909\) | 5.10525 | − | 1.16524i | 0.169331 | − | 0.0386486i | ||||
\(910\) | −0.402124 | − | 0.821053i | −0.0133303 | − | 0.0272176i | ||||
\(911\) | −10.5414 | − | 2.40601i | −0.349252 | − | 0.0797146i | 0.0442961 | − | 0.999018i | \(-0.485896\pi\) |
−0.393548 | + | 0.919304i | \(0.628753\pi\) | |||||||
\(912\) | −2.34638 | + | 14.3823i | −0.0776965 | + | 0.476245i | ||||
\(913\) | 25.9400i | 0.858490i | ||||||||
\(914\) | −5.70814 | − | 44.3967i | −0.188809 | − | 1.46851i | ||||
\(915\) | −0.518597 | + | 0.249743i | −0.0171443 | + | 0.00825625i | ||||
\(916\) | 4.46494 | − | 22.8392i | 0.147526 | − | 0.754629i | ||||
\(917\) | 0.737573 | − | 0.724354i | 0.0243568 | − | 0.0239203i | ||||
\(918\) | 2.50222 | + | 0.831791i | 0.0825857 | + | 0.0274532i | ||||
\(919\) | 13.8788 | + | 3.16776i | 0.457821 | + | 0.104495i | 0.445211 | − | 0.895426i | \(-0.353129\pi\) |
0.0126102 | + | 0.999920i | \(0.495986\pi\) | |||||||
\(920\) | −0.393414 | − | 0.974753i | −0.0129705 | − | 0.0321367i | ||||
\(921\) | −1.51792 | + | 0.730994i | −0.0500173 | + | 0.0240871i | ||||
\(922\) | −15.7812 | + | 26.0117i | −0.519725 | + | 0.856648i | ||||
\(923\) | 8.85509 | + | 4.26439i | 0.291469 | + | 0.140364i | ||||
\(924\) | −3.83313 | − | 28.3274i | −0.126101 | − | 0.931904i | ||||
\(925\) | 36.2522 | − | 17.4581i | 1.19196 | − | 0.574019i | ||||
\(926\) | −3.35213 | + | 34.6185i | −0.110158 | + | 1.13763i | ||||
\(927\) | −3.81933 | − | 16.7336i | −0.125443 | − | 0.549602i | ||||
\(928\) | −2.99200 | + | 11.3270i | −0.0982173 | + | 0.371828i | ||||
\(929\) | −31.2391 | − | 24.9124i | −1.02492 | − | 0.817348i | −0.0415841 | − | 0.999135i | \(-0.513240\pi\) |
−0.983338 | + | 0.181787i | \(0.941812\pi\) | |||||||
\(930\) | 0.141789 | + | 0.385713i | 0.00464944 | + | 0.0126480i | ||||
\(931\) | 20.2223 | − | 15.5369i | 0.662759 | − | 0.509203i | ||||
\(932\) | 16.1598 | − | 13.7370i | 0.529330 | − | 0.449971i | ||||
\(933\) | 17.0407 | − | 21.3684i | 0.557889 | − | 0.699570i | ||||
\(934\) | 7.29503 | + | 0.706382i | 0.238701 | + | 0.0231135i | ||||
\(935\) | −0.457750 | + | 0.104479i | −0.0149700 | + | 0.00341681i | ||||
\(936\) | −8.46911 | − | 12.1690i | −0.276822 | − | 0.397755i | ||||
\(937\) | 11.3200 | + | 23.5062i | 0.369808 | + | 0.767915i | 0.999963 | − | 0.00855429i | \(-0.00272295\pi\) |
−0.630155 | + | 0.776469i | \(0.717009\pi\) | |||||||
\(938\) | 36.0025 | − | 0.238648i | 1.17552 | − | 0.00779213i | ||||
\(939\) | 7.06469 | − | 14.6700i | 0.230547 | − | 0.478737i | ||||
\(940\) | −0.0106627 | + | 0.0545423i | −0.000347779 | + | 0.00177897i | ||||
\(941\) | 23.3779 | + | 48.5446i | 0.762096 | + | 1.58251i | 0.811932 | + | 0.583752i | \(0.198416\pi\) |
−0.0498356 | + | 0.998757i | \(0.515870\pi\) | |||||||
\(942\) | 24.3763 | + | 8.10318i | 0.794222 | + | 0.264016i | ||||
\(943\) | 7.16330 | − | 31.3845i | 0.233269 | − | 1.02202i | ||||
\(944\) | −8.94037 | − | 9.87275i | −0.290984 | − | 0.321331i | ||||
\(945\) | 0.122674 | − | 0.0126999i | 0.00399057 | − | 0.000413127i | ||||
\(946\) | −34.8357 | − | 21.1347i | −1.13261 | − | 0.687148i | ||||
\(947\) | −8.54004 | − | 17.7336i | −0.277514 | − | 0.576264i | 0.714897 | − | 0.699230i | \(-0.246474\pi\) |
−0.992411 | + | 0.122966i | \(0.960759\pi\) | |||||||
\(948\) | 11.3767 | − | 5.92483i | 0.369497 | − | 0.192430i | ||||
\(949\) | −50.3458 | −1.63429 | ||||||||
\(950\) | −24.1682 | + | 8.88429i | −0.784121 | + | 0.288245i | ||||
\(951\) | 3.86046 | − | 16.9138i | 0.125184 | − | 0.548466i | ||||
\(952\) | 10.5707 | − | 9.10733i | 0.342600 | − | 0.295170i | ||||
\(953\) | 5.51281 | + | 24.1532i | 0.178577 | + | 0.782399i | 0.982288 | + | 0.187378i | \(0.0599990\pi\) |
−0.803710 | + | 0.595021i | \(0.797144\pi\) | |||||||
\(954\) | −0.393602 | − | 0.605152i | −0.0127433 | − | 0.0195925i | ||||
\(955\) | 0.0352863 | + | 0.0442476i | 0.00114184 | + | 0.00143182i | ||||
\(956\) | −7.65743 | + | 39.1696i | −0.247659 | + | 1.26684i | ||||
\(957\) | −10.9075 | + | 2.48958i | −0.352591 | + | 0.0804766i | ||||
\(958\) | −8.96061 | − | 13.7767i | −0.289504 | − | 0.445105i | ||||
\(959\) | −9.88256 | + | 9.70545i | −0.319125 | + | 0.313405i | ||||
\(960\) | 0.116746 | + | 0.354167i | 0.00376797 | + | 0.0114307i | ||||
\(961\) | 7.86070 | 0.253571 | ||||||||
\(962\) | −20.5917 | − | 56.0161i | −0.663902 | − | 1.80603i | ||||
\(963\) | −5.28722 | − | 1.20677i | −0.170378 | − | 0.0388878i | ||||
\(964\) | −34.1771 | − | 15.1585i | −1.10077 | − | 0.488222i | ||||
\(965\) | −0.365765 | + | 0.291688i | −0.0117744 | + | 0.00938977i | ||||
\(966\) | −6.44509 | + | 29.1264i | −0.207367 | + | 0.937126i | ||||
\(967\) | −10.3241 | − | 8.23316i | −0.331999 | − | 0.264761i | 0.443275 | − | 0.896386i | \(-0.353817\pi\) |
−0.775274 | + | 0.631625i | \(0.782388\pi\) | |||||||
\(968\) | 38.0356 | + | 34.6177i | 1.22251 | + | 1.11265i | ||||
\(969\) | −5.31075 | − | 4.23518i | −0.170606 | − | 0.136054i | ||||
\(970\) | −0.279068 | + | 0.287954i | −0.00896033 | + | 0.00924564i | ||||
\(971\) | 34.8290 | + | 43.6742i | 1.11771 | + | 1.40157i | 0.905499 | + | 0.424347i | \(0.139496\pi\) |
0.212215 | + | 0.977223i | \(0.431932\pi\) | |||||||
\(972\) | 1.93495 | − | 0.505922i | 0.0620636 | − | 0.0162275i | ||||
\(973\) | −31.6537 | − | 3.85665i | −1.01477 | − | 0.123639i | ||||
\(974\) | 9.48485 | + | 9.19215i | 0.303914 | + | 0.294536i | ||||
\(975\) | 11.3667 | − | 23.6031i | 0.364025 | − | 0.755905i | ||||
\(976\) | 3.09392 | + | 49.2957i | 0.0990340 | + | 1.57792i | ||||
\(977\) | 10.9677 | + | 5.28175i | 0.350887 | + | 0.168978i | 0.601022 | − | 0.799233i | \(-0.294761\pi\) |
−0.250135 | + | 0.968211i | \(0.580475\pi\) | |||||||
\(978\) | 2.31929 | + | 0.770981i | 0.0741628 | + | 0.0246533i | ||||
\(979\) | 88.4607 | 2.82722 | ||||||||
\(980\) | 0.275332 | − | 0.591671i | 0.00879515 | − | 0.0189002i | ||||
\(981\) | −16.9057 | −0.539757 | ||||||||
\(982\) | −38.5402 | − | 12.8116i | −1.22987 | − | 0.408834i | ||||
\(983\) | −12.9697 | − | 6.24590i | −0.413671 | − | 0.199213i | 0.215460 | − | 0.976513i | \(-0.430875\pi\) |
−0.629131 | + | 0.777299i | \(0.716589\pi\) | |||||||
\(984\) | −3.26121 | + | 10.9449i | −0.103964 | + | 0.348912i | ||||
\(985\) | 0.222933 | − | 0.462926i | 0.00710325 | − | 0.0147500i | ||||
\(986\) | −3.92155 | − | 3.80053i | −0.124888 | − | 0.121034i | ||||
\(987\) | 1.12527 | − | 1.10510i | 0.0358177 | − | 0.0351758i | ||||
\(988\) | 9.66126 | + | 36.9505i | 0.307366 | + | 1.17555i | ||||
\(989\) | 26.5112 | + | 33.2440i | 0.843008 | + | 1.05710i | ||||
\(990\) | −0.247840 | + | 0.255732i | −0.00787688 | + | 0.00812769i | ||||
\(991\) | 5.68457 | + | 4.53329i | 0.180576 | + | 0.144005i | 0.709607 | − | 0.704598i | \(-0.248873\pi\) |
−0.529030 | + | 0.848603i | \(0.677444\pi\) | |||||||
\(992\) | 35.2437 | + | 1.19344i | 1.11899 | + | 0.0378916i | ||||
\(993\) | −12.5894 | − | 10.0397i | −0.399512 | − | 0.318600i | ||||
\(994\) | 1.60643 | + | 6.82927i | 0.0509530 | + | 0.216611i | ||||
\(995\) | −0.291807 | + | 0.232708i | −0.00925090 | + | 0.00737735i | ||||
\(996\) | −3.89366 | + | 8.77883i | −0.123375 | + | 0.278168i | ||||
\(997\) | 23.8687 | + | 5.44788i | 0.755929 | + | 0.172536i | 0.583083 | − | 0.812413i | \(-0.301846\pi\) |
0.172847 | + | 0.984949i | \(0.444703\pi\) | |||||||
\(998\) | 4.66465 | + | 12.6894i | 0.147657 | + | 0.401676i | ||||
\(999\) | 8.05087 | 0.254718 |
(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 | 588.2.x.b.55.11 | yes | 168 | |
4.3 | odd | 2 | 588.2.x.a.55.5 | ✓ | 168 | ||
49.41 | odd | 14 | 588.2.x.a.139.5 | yes | 168 | ||
196.139 | even | 14 | inner | 588.2.x.b.139.11 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.x.a.55.5 | ✓ | 168 | 4.3 | odd | 2 | ||
588.2.x.a.139.5 | yes | 168 | 49.41 | odd | 14 | ||
588.2.x.b.55.11 | yes | 168 | 1.1 | even | 1 | trivial | |
588.2.x.b.139.11 | yes | 168 | 196.139 | even | 14 | inner |