Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(52,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([8, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.52");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bs (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 52.38 | ||
Character | \(\chi\) | \(=\) | 315.52 |
Dual form | 315.2.bs.e.103.38 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.88327 | + | 1.88327i | 1.33167 | + | 1.33167i | 0.903872 | + | 0.427803i | \(0.140712\pi\) |
0.427803 | + | 0.903872i | \(0.359288\pi\) | |||||||
\(3\) | −1.69593 | + | 0.351879i | −0.979146 | + | 0.203157i | ||||
\(4\) | 5.09343i | 2.54672i | ||||||||
\(5\) | 1.64061 | + | 1.51935i | 0.733701 | + | 0.679472i | ||||
\(6\) | −3.85658 | − | 2.53122i | −1.57444 | − | 1.03336i | ||||
\(7\) | −2.34075 | − | 1.23324i | −0.884721 | − | 0.466121i | ||||
\(8\) | −5.82578 | + | 5.82578i | −2.05972 | + | 2.05972i | ||||
\(9\) | 2.75236 | − | 1.19352i | 0.917454 | − | 0.397841i | ||||
\(10\) | 0.228366 | + | 5.95105i | 0.0722158 | + | 1.88189i | ||||
\(11\) | 1.04621 | + | 1.81209i | 0.315444 | + | 0.546366i | 0.979532 | − | 0.201289i | \(-0.0645131\pi\) |
−0.664087 | + | 0.747655i | \(0.731180\pi\) | |||||||
\(12\) | −1.79227 | − | 8.63811i | −0.517384 | − | 2.49361i | ||||
\(13\) | 1.12552 | − | 4.20048i | 0.312162 | − | 1.16500i | −0.614441 | − | 0.788963i | \(-0.710618\pi\) |
0.926603 | − | 0.376041i | \(-0.122715\pi\) | |||||||
\(14\) | −2.08575 | − | 6.73080i | −0.557440 | − | 1.79888i | ||||
\(15\) | −3.31698 | − | 1.99941i | −0.856441 | − | 0.516246i | ||||
\(16\) | −11.7562 | −2.93905 | ||||||||
\(17\) | −0.0903731 | − | 0.337277i | −0.0219187 | − | 0.0818017i | 0.954100 | − | 0.299488i | \(-0.0968158\pi\) |
−0.976019 | + | 0.217686i | \(0.930149\pi\) | |||||||
\(18\) | 7.43118 | + | 2.93572i | 1.75155 | + | 0.691955i | ||||
\(19\) | −0.0876310 | − | 0.151781i | −0.0201039 | − | 0.0348210i | 0.855798 | − | 0.517309i | \(-0.173066\pi\) |
−0.875902 | + | 0.482488i | \(0.839733\pi\) | |||||||
\(20\) | −7.73868 | + | 8.35632i | −1.73042 | + | 1.86853i | ||||
\(21\) | 4.40370 | + | 1.26783i | 0.960967 | + | 0.276663i | ||||
\(22\) | −1.44236 | + | 5.38296i | −0.307512 | + | 1.14765i | ||||
\(23\) | 1.53113 | + | 5.71426i | 0.319263 | + | 1.19151i | 0.919955 | + | 0.392024i | \(0.128225\pi\) |
−0.600692 | + | 0.799481i | \(0.705108\pi\) | |||||||
\(24\) | 7.83015 | − | 11.9301i | 1.59832 | − | 2.43522i | ||||
\(25\) | 0.383177 | + | 4.98530i | 0.0766354 | + | 0.997059i | ||||
\(26\) | 10.0303 | − | 5.79100i | 1.96710 | − | 1.13571i | ||||
\(27\) | −4.24784 | + | 2.99263i | −0.817497 | + | 0.575932i | ||||
\(28\) | 6.28142 | − | 11.9225i | 1.18708 | − | 2.25313i | ||||
\(29\) | 2.97567 | + | 1.71801i | 0.552569 | + | 0.319026i | 0.750157 | − | 0.661259i | \(-0.229978\pi\) |
−0.197589 | + | 0.980285i | \(0.563311\pi\) | |||||||
\(30\) | −2.48134 | − | 10.0122i | −0.453029 | − | 1.82797i | ||||
\(31\) | − | 2.01048i | − | 0.361093i | −0.983566 | − | 0.180547i | \(-0.942213\pi\) | ||
0.983566 | − | 0.180547i | \(-0.0577867\pi\) | |||||||
\(32\) | −10.4885 | − | 10.4885i | −1.85413 | − | 1.85413i | ||||
\(33\) | −2.41194 | − | 2.70504i | −0.419864 | − | 0.470887i | ||||
\(34\) | 0.464987 | − | 0.805382i | 0.0797447 | − | 0.138122i | ||||
\(35\) | −1.96654 | − | 5.57967i | −0.332405 | − | 0.943137i | ||||
\(36\) | 6.07913 | + | 14.0190i | 1.01319 | + | 2.33650i | ||||
\(37\) | 2.17588 | − | 8.12048i | 0.357712 | − | 1.33500i | −0.519325 | − | 0.854577i | \(-0.673817\pi\) |
0.877037 | − | 0.480422i | \(-0.159517\pi\) | |||||||
\(38\) | 0.120813 | − | 0.450878i | 0.0195984 | − | 0.0731421i | ||||
\(39\) | −0.430736 | + | 7.51977i | −0.0689730 | + | 1.20413i | ||||
\(40\) | −18.4092 | + | 0.706436i | −2.91075 | + | 0.111697i | ||||
\(41\) | 6.68940 | − | 3.86213i | 1.04471 | − | 0.603163i | 0.123546 | − | 0.992339i | \(-0.460573\pi\) |
0.921164 | + | 0.389176i | \(0.127240\pi\) | |||||||
\(42\) | 5.90571 | + | 10.6810i | 0.911271 | + | 1.64812i | ||||
\(43\) | 1.53217 | + | 5.71814i | 0.233654 | + | 0.872009i | 0.978751 | + | 0.205053i | \(0.0657365\pi\) |
−0.745097 | + | 0.666956i | \(0.767597\pi\) | |||||||
\(44\) | −9.22976 | + | 5.32880i | −1.39144 | + | 0.803347i | ||||
\(45\) | 6.32892 | + | 2.22369i | 0.943460 | + | 0.331488i | ||||
\(46\) | −7.87797 | + | 13.6450i | −1.16154 | + | 2.01185i | ||||
\(47\) | 3.99715 | − | 3.99715i | 0.583044 | − | 0.583044i | −0.352695 | − | 0.935738i | \(-0.614735\pi\) |
0.935738 | + | 0.352695i | \(0.114735\pi\) | |||||||
\(48\) | 19.9377 | − | 4.13675i | 2.87776 | − | 0.597089i | ||||
\(49\) | 3.95824 | + | 5.77341i | 0.565463 | + | 0.824774i | ||||
\(50\) | −8.66704 | + | 10.1103i | −1.22571 | + | 1.42981i | ||||
\(51\) | 0.271947 | + | 0.540198i | 0.0380802 | + | 0.0756429i | ||||
\(52\) | 21.3949 | + | 5.73274i | 2.96693 | + | 0.794988i | ||||
\(53\) | −2.75551 | − | 10.2837i | −0.378498 | − | 1.41258i | −0.848165 | − | 0.529731i | \(-0.822293\pi\) |
0.469667 | − | 0.882844i | \(-0.344374\pi\) | |||||||
\(54\) | −13.6358 | − | 2.36390i | −1.85560 | − | 0.321686i | ||||
\(55\) | −1.03677 | + | 4.56248i | −0.139798 | + | 0.615205i | ||||
\(56\) | 20.8213 | − | 6.45212i | 2.78236 | − | 0.862201i | ||||
\(57\) | 0.202025 | + | 0.226575i | 0.0267588 | + | 0.0300106i | ||||
\(58\) | 2.36853 | + | 8.83948i | 0.311003 | + | 1.16068i | ||||
\(59\) | −4.47519 | −0.582621 | −0.291310 | − | 0.956629i | \(-0.594091\pi\) | ||||
−0.291310 | + | 0.956629i | \(0.594091\pi\) | |||||||
\(60\) | 10.1839 | − | 16.8948i | 1.31473 | − | 2.18111i | ||||
\(61\) | 13.6830i | 1.75193i | 0.482379 | + | 0.875963i | \(0.339773\pi\) | ||||
−0.482379 | + | 0.875963i | \(0.660227\pi\) | |||||||
\(62\) | 3.78629 | − | 3.78629i | 0.480859 | − | 0.480859i | ||||
\(63\) | −7.91450 | − | 0.600577i | −0.997133 | − | 0.0756656i | ||||
\(64\) | − | 15.9932i | − | 1.99915i | ||||||
\(65\) | 8.22851 | − | 5.18129i | 1.02062 | − | 0.642660i | ||||
\(66\) | 0.551993 | − | 9.63666i | 0.0679456 | − | 1.18619i | ||||
\(67\) | −5.61593 | − | 5.61593i | −0.686095 | − | 0.686095i | 0.275272 | − | 0.961367i | \(-0.411232\pi\) |
−0.961367 | + | 0.275272i | \(0.911232\pi\) | |||||||
\(68\) | 1.71790 | − | 0.460309i | 0.208326 | − | 0.0558207i | ||||
\(69\) | −4.60742 | − | 9.15221i | −0.554668 | − | 1.10180i | ||||
\(70\) | 6.80452 | − | 14.2116i | 0.813296 | − | 1.69861i | ||||
\(71\) | 8.75413 | 1.03892 | 0.519462 | − | 0.854494i | \(-0.326132\pi\) | ||||
0.519462 | + | 0.854494i | \(0.326132\pi\) | |||||||
\(72\) | −9.08144 | + | 22.9879i | −1.07026 | + | 2.70914i | ||||
\(73\) | −5.88063 | + | 1.57571i | −0.688276 | + | 0.184423i | −0.585973 | − | 0.810330i | \(-0.699288\pi\) |
−0.102303 | + | 0.994753i | \(0.532621\pi\) | |||||||
\(74\) | 19.3909 | − | 11.1953i | 2.25414 | − | 1.30143i | ||||
\(75\) | −2.40406 | − | 8.31989i | −0.277597 | − | 0.960698i | ||||
\(76\) | 0.773088 | − | 0.446342i | 0.0886792 | − | 0.0511990i | ||||
\(77\) | −0.214180 | − | 5.53188i | −0.0244080 | − | 0.630416i | ||||
\(78\) | −14.9730 | + | 13.3506i | −1.69536 | + | 1.51166i | ||||
\(79\) | − | 5.16187i | − | 0.580756i | −0.956912 | − | 0.290378i | \(-0.906219\pi\) | ||
0.956912 | − | 0.290378i | \(-0.0937810\pi\) | |||||||
\(80\) | −19.2873 | − | 17.8617i | −2.15638 | − | 1.99700i | ||||
\(81\) | 6.15100 | − | 6.57002i | 0.683444 | − | 0.730003i | ||||
\(82\) | 19.8714 | + | 5.32453i | 2.19443 | + | 0.587996i | ||||
\(83\) | −8.73210 | + | 2.33976i | −0.958472 | + | 0.256822i | −0.703954 | − | 0.710246i | \(-0.748584\pi\) |
−0.254519 | + | 0.967068i | \(0.581917\pi\) | |||||||
\(84\) | −6.45759 | + | 22.4300i | −0.704581 | + | 2.44731i | ||||
\(85\) | 0.364174 | − | 0.690647i | 0.0395002 | − | 0.0749112i | ||||
\(86\) | −7.88333 | + | 13.6543i | −0.850081 | + | 1.47238i | ||||
\(87\) | −5.65107 | − | 1.86654i | −0.605858 | − | 0.200114i | ||||
\(88\) | −16.6518 | − | 4.46184i | −1.77509 | − | 0.475634i | ||||
\(89\) | −5.78404 | − | 10.0183i | −0.613107 | − | 1.06193i | −0.990713 | − | 0.135967i | \(-0.956586\pi\) |
0.377606 | − | 0.925966i | \(-0.376747\pi\) | |||||||
\(90\) | 7.73127 | + | 16.1069i | 0.814947 | + | 1.69782i | ||||
\(91\) | −7.81475 | + | 8.44426i | −0.819209 | + | 0.885199i | ||||
\(92\) | −29.1052 | + | 7.79871i | −3.03442 | + | 0.813072i | ||||
\(93\) | 0.707446 | + | 3.40964i | 0.0733588 | + | 0.353563i | ||||
\(94\) | 15.0554 | 1.55285 | ||||||||
\(95\) | 0.0868403 | − | 0.382155i | 0.00890963 | − | 0.0392083i | ||||
\(96\) | 21.4786 | + | 14.0972i | 2.19215 | + | 1.43878i | ||||
\(97\) | −1.39116 | − | 5.19186i | −0.141250 | − | 0.527154i | −0.999894 | − | 0.0145802i | \(-0.995359\pi\) |
0.858643 | − | 0.512574i | \(-0.171308\pi\) | |||||||
\(98\) | −3.41846 | + | 18.3274i | −0.345317 | + | 1.85134i | ||||
\(99\) | 5.04232 | + | 3.73885i | 0.506773 | + | 0.375769i | ||||
\(100\) | −25.3923 | + | 1.95169i | −2.53923 | + | 0.195169i | ||||
\(101\) | 1.11715 | − | 0.644988i | 0.111161 | − | 0.0641787i | −0.443389 | − | 0.896329i | \(-0.646224\pi\) |
0.554550 | + | 0.832151i | \(0.312891\pi\) | |||||||
\(102\) | −0.505190 | + | 1.52949i | −0.0500212 | + | 0.151442i | ||||
\(103\) | 6.67820 | − | 1.78942i | 0.658022 | − | 0.176317i | 0.0856691 | − | 0.996324i | \(-0.472697\pi\) |
0.572353 | + | 0.820007i | \(0.306031\pi\) | |||||||
\(104\) | 17.9141 | + | 31.0281i | 1.75662 | + | 3.04255i | ||||
\(105\) | 5.29848 | + | 8.77075i | 0.517078 | + | 0.855938i | ||||
\(106\) | 14.1776 | − | 24.5564i | 1.37705 | − | 2.38513i | ||||
\(107\) | 4.20082 | − | 15.6777i | 0.406108 | − | 1.51562i | −0.395894 | − | 0.918296i | \(-0.629565\pi\) |
0.802003 | − | 0.597321i | \(-0.203768\pi\) | |||||||
\(108\) | −15.2428 | − | 21.6361i | −1.46674 | − | 2.08193i | ||||
\(109\) | −0.544147 | − | 0.314163i | −0.0521198 | − | 0.0300914i | 0.473714 | − | 0.880679i | \(-0.342913\pi\) |
−0.525833 | + | 0.850588i | \(0.676246\pi\) | |||||||
\(110\) | −10.5449 | + | 6.63987i | −1.00542 | + | 0.633087i | ||||
\(111\) | −0.832711 | + | 14.5374i | −0.0790374 | + | 1.37983i | ||||
\(112\) | 27.5183 | + | 14.4982i | 2.60024 | + | 1.36995i | ||||
\(113\) | −7.37261 | − | 1.97548i | −0.693557 | − | 0.185838i | −0.105214 | − | 0.994450i | \(-0.533553\pi\) |
−0.588343 | + | 0.808612i | \(0.700219\pi\) | |||||||
\(114\) | −0.0462351 | + | 0.807170i | −0.00433031 | + | 0.0755984i | ||||
\(115\) | −6.16995 | + | 11.7012i | −0.575351 | + | 1.09114i | ||||
\(116\) | −8.75055 | + | 15.1564i | −0.812468 | + | 1.40724i | ||||
\(117\) | −1.91555 | − | 12.9046i | −0.177093 | − | 1.19303i | ||||
\(118\) | −8.42801 | − | 8.42801i | −0.775861 | − | 0.775861i | ||||
\(119\) | −0.204402 | + | 0.900934i | −0.0187375 | + | 0.0825885i | ||||
\(120\) | 30.9721 | − | 7.67586i | 2.82735 | − | 0.700707i | ||||
\(121\) | 3.31089 | − | 5.73462i | 0.300990 | − | 0.521329i | ||||
\(122\) | −25.7688 | + | 25.7688i | −2.33299 | + | 2.33299i | ||||
\(123\) | −9.98576 | + | 8.90376i | −0.900386 | + | 0.802825i | ||||
\(124\) | 10.2403 | 0.919602 | ||||||||
\(125\) | −6.94575 | + | 8.76109i | −0.621246 | + | 0.783615i | ||||
\(126\) | −13.7741 | − | 16.0362i | −1.22710 | − | 1.42862i | ||||
\(127\) | −6.04046 | − | 6.04046i | −0.536004 | − | 0.536004i | 0.386349 | − | 0.922353i | \(-0.373736\pi\) |
−0.922353 | + | 0.386349i | \(0.873736\pi\) | |||||||
\(128\) | 9.14251 | − | 9.14251i | 0.808091 | − | 0.808091i | ||||
\(129\) | −4.61055 | − | 9.15844i | −0.405936 | − | 0.806355i | ||||
\(130\) | 25.2543 | + | 5.73875i | 2.21495 | + | 0.503322i | ||||
\(131\) | −7.12509 | − | 4.11367i | −0.622522 | − | 0.359413i | 0.155328 | − | 0.987863i | \(-0.450356\pi\) |
−0.777850 | + | 0.628450i | \(0.783690\pi\) | |||||||
\(132\) | 13.7779 | − | 12.2850i | 1.19922 | − | 1.06928i | ||||
\(133\) | 0.0179398 | + | 0.463352i | 0.00155557 | + | 0.0401777i | ||||
\(134\) | − | 21.1527i | − | 1.82731i | ||||||
\(135\) | −11.5159 | − | 1.54421i | −0.991129 | − | 0.132904i | ||||
\(136\) | 2.49139 | + | 1.43841i | 0.213635 | + | 0.123342i | ||||
\(137\) | 0.00202419 | − | 0.00755439i | 0.000172938 | − | 0.000645415i | −0.965839 | − | 0.259142i | \(-0.916560\pi\) |
0.966012 | + | 0.258496i | \(0.0832270\pi\) | |||||||
\(138\) | 8.55909 | − | 25.9131i | 0.728598 | − | 2.20587i | ||||
\(139\) | −2.56015 | − | 4.43432i | −0.217149 | − | 0.376114i | 0.736786 | − | 0.676126i | \(-0.236343\pi\) |
−0.953935 | + | 0.300012i | \(0.903009\pi\) | |||||||
\(140\) | 28.4197 | − | 10.0164i | 2.40190 | − | 0.846542i | ||||
\(141\) | −5.37237 | + | 8.18539i | −0.452435 | + | 0.689334i | ||||
\(142\) | 16.4864 | + | 16.4864i | 1.38351 | + | 1.38351i | ||||
\(143\) | 8.78918 | − | 2.35505i | 0.734988 | − | 0.196939i | ||||
\(144\) | −32.3573 | + | 14.0313i | −2.69644 | + | 1.16927i | ||||
\(145\) | 2.27166 | + | 7.33965i | 0.188651 | + | 0.609525i | ||||
\(146\) | −14.0423 | − | 8.10734i | −1.16215 | − | 0.670968i | ||||
\(147\) | −8.74445 | − | 8.39849i | −0.721230 | − | 0.692696i | ||||
\(148\) | 41.3611 | + | 11.0827i | 3.39986 | + | 0.910991i | ||||
\(149\) | −1.13640 | − | 0.656101i | −0.0930976 | − | 0.0537499i | 0.452728 | − | 0.891648i | \(-0.350451\pi\) |
−0.545826 | + | 0.837899i | \(0.683784\pi\) | |||||||
\(150\) | 11.1411 | − | 20.1961i | 0.909668 | − | 1.64901i | ||||
\(151\) | −8.13999 | − | 14.0989i | −0.662423 | − | 1.14735i | −0.979977 | − | 0.199110i | \(-0.936195\pi\) |
0.317554 | − | 0.948240i | \(-0.397138\pi\) | |||||||
\(152\) | 1.39476 | + | 0.373725i | 0.113130 | + | 0.0303131i | ||||
\(153\) | −0.651288 | − | 0.820446i | −0.0526535 | − | 0.0663292i | ||||
\(154\) | 10.0147 | − | 10.8214i | 0.807006 | − | 0.872013i | ||||
\(155\) | 3.05462 | − | 3.29841i | 0.245353 | − | 0.264935i | ||||
\(156\) | −38.3014 | − | 2.19393i | −3.06657 | − | 0.175655i | ||||
\(157\) | −13.7660 | + | 13.7660i | −1.09865 | + | 1.09865i | −0.104079 | + | 0.994569i | \(0.533189\pi\) |
−0.994569 | + | 0.104079i | \(0.966811\pi\) | |||||||
\(158\) | 9.72121 | − | 9.72121i | 0.773378 | − | 0.773378i | ||||
\(159\) | 8.29177 | + | 16.4708i | 0.657580 | + | 1.30622i | ||||
\(160\) | −1.27185 | − | 33.1433i | −0.100548 | − | 2.62021i | ||||
\(161\) | 3.46305 | − | 15.2639i | 0.272926 | − | 1.20296i | ||||
\(162\) | 23.9572 | − | 0.789134i | 1.88225 | − | 0.0620002i | ||||
\(163\) | 5.98242 | + | 1.60298i | 0.468579 | + | 0.125555i | 0.485380 | − | 0.874304i | \(-0.338681\pi\) |
−0.0168007 | + | 0.999859i | \(0.505348\pi\) | |||||||
\(164\) | 19.6715 | + | 34.0720i | 1.53609 | + | 2.66058i | ||||
\(165\) | 0.152852 | − | 8.10247i | 0.0118995 | − | 0.630777i | ||||
\(166\) | −20.8513 | − | 12.0385i | −1.61838 | − | 0.934370i | ||||
\(167\) | −2.93333 | − | 0.785983i | −0.226988 | − | 0.0608212i | 0.143532 | − | 0.989646i | \(-0.454154\pi\) |
−0.370520 | + | 0.928824i | \(0.620821\pi\) | |||||||
\(168\) | −33.0411 | + | 18.2689i | −2.54917 | + | 1.40948i | ||||
\(169\) | −5.11893 | − | 2.95542i | −0.393764 | − | 0.227340i | ||||
\(170\) | 1.98651 | − | 0.614838i | 0.152359 | − | 0.0471559i | ||||
\(171\) | −0.422347 | − | 0.313167i | −0.0322977 | − | 0.0239485i | ||||
\(172\) | −29.1250 | + | 7.80401i | −2.22076 | + | 0.595050i | ||||
\(173\) | 9.38706 | + | 9.38706i | 0.713685 | + | 0.713685i | 0.967304 | − | 0.253619i | \(-0.0816210\pi\) |
−0.253619 | + | 0.967304i | \(0.581621\pi\) | |||||||
\(174\) | −7.12729 | − | 14.1577i | −0.540318 | − | 1.07329i | ||||
\(175\) | 5.25114 | − | 12.1419i | 0.396949 | − | 0.917841i | ||||
\(176\) | −12.2994 | − | 21.3033i | −0.927106 | − | 1.60579i | ||||
\(177\) | 7.58962 | − | 1.57473i | 0.570471 | − | 0.118364i | ||||
\(178\) | 7.97418 | − | 29.7600i | 0.597690 | − | 2.23061i | ||||
\(179\) | −1.43055 | − | 0.825929i | −0.106924 | − | 0.0617329i | 0.445584 | − | 0.895240i | \(-0.352996\pi\) |
−0.552509 | + | 0.833507i | \(0.686329\pi\) | |||||||
\(180\) | −11.3262 | + | 32.2359i | −0.844205 | + | 2.40272i | ||||
\(181\) | 5.67111i | 0.421530i | 0.977537 | + | 0.210765i | \(0.0675955\pi\) | ||||
−0.977537 | + | 0.210765i | \(0.932405\pi\) | |||||||
\(182\) | −30.6201 | + | 1.18553i | −2.26972 | + | 0.0878774i | ||||
\(183\) | −4.81475 | − | 23.2054i | −0.355916 | − | 1.71539i | ||||
\(184\) | −42.2100 | − | 24.3700i | −3.11176 | − | 1.79658i | ||||
\(185\) | 15.9076 | − | 10.0166i | 1.16955 | − | 0.736435i | ||||
\(186\) | −5.08897 | + | 7.75360i | −0.373141 | + | 0.568521i | ||||
\(187\) | 0.516627 | − | 0.516627i | 0.0377795 | − | 0.0377795i | ||||
\(188\) | 20.3592 | + | 20.3592i | 1.48485 | + | 1.48485i | ||||
\(189\) | 13.6338 | − | 1.76641i | 0.991711 | − | 0.128487i | ||||
\(190\) | 0.883246 | − | 0.556158i | 0.0640774 | − | 0.0403479i | ||||
\(191\) | 8.38010 | 0.606363 | 0.303181 | − | 0.952933i | \(-0.401951\pi\) | ||||
0.303181 | + | 0.952933i | \(0.401951\pi\) | |||||||
\(192\) | 5.62768 | + | 27.1234i | 0.406143 | + | 1.95746i | ||||
\(193\) | −11.8816 | + | 11.8816i | −0.855257 | + | 0.855257i | −0.990775 | − | 0.135518i | \(-0.956730\pi\) |
0.135518 | + | 0.990775i | \(0.456730\pi\) | |||||||
\(194\) | 7.15777 | − | 12.3976i | 0.513898 | − | 0.890097i | ||||
\(195\) | −12.1318 | + | 11.6825i | −0.868776 | + | 0.836605i | ||||
\(196\) | −29.4065 | + | 20.1610i | −2.10046 | + | 1.44007i | ||||
\(197\) | 17.5339 | + | 17.5339i | 1.24924 | + | 1.24924i | 0.956056 | + | 0.293184i | \(0.0947148\pi\) |
0.293184 | + | 0.956056i | \(0.405285\pi\) | |||||||
\(198\) | 2.45480 | + | 16.5373i | 0.174455 | + | 1.17526i | ||||
\(199\) | 5.14439 | − | 8.91034i | 0.364676 | − | 0.631637i | −0.624048 | − | 0.781386i | \(-0.714513\pi\) |
0.988724 | + | 0.149749i | \(0.0478465\pi\) | |||||||
\(200\) | −31.2755 | − | 26.8109i | −2.21151 | − | 1.89582i | ||||
\(201\) | 11.5004 | + | 7.54810i | 0.811172 | + | 0.532402i | ||||
\(202\) | 3.31859 | + | 0.889213i | 0.233495 | + | 0.0625648i | ||||
\(203\) | −4.84660 | − | 7.69114i | −0.340165 | − | 0.539812i | ||||
\(204\) | −2.75146 | + | 1.38514i | −0.192641 | + | 0.0969795i | ||||
\(205\) | 16.8426 | + | 3.82728i | 1.17634 | + | 0.267309i | ||||
\(206\) | 15.9468 | + | 9.20691i | 1.11107 | + | 0.641476i | ||||
\(207\) | 11.0343 | + | 13.9003i | 0.766939 | + | 0.966135i | ||||
\(208\) | −13.2318 | + | 49.3816i | −0.917458 | + | 3.42400i | ||||
\(209\) | 0.183361 | − | 0.317590i | 0.0126833 | − | 0.0219682i | ||||
\(210\) | −6.53925 | + | 26.4962i | −0.451251 | + | 1.82841i | ||||
\(211\) | 5.81751 | + | 10.0762i | 0.400494 | + | 0.693675i | 0.993785 | − | 0.111312i | \(-0.0355053\pi\) |
−0.593292 | + | 0.804987i | \(0.702172\pi\) | |||||||
\(212\) | 52.3793 | − | 14.0350i | 3.59743 | − | 0.963928i | ||||
\(213\) | −14.8464 | + | 3.08039i | −1.01726 | + | 0.211065i | ||||
\(214\) | 37.4366 | − | 21.6140i | 2.55911 | − | 1.47750i | ||||
\(215\) | −6.17415 | + | 11.7091i | −0.421073 | + | 0.798555i | ||||
\(216\) | 7.31256 | − | 42.1814i | 0.497557 | − | 2.87008i | ||||
\(217\) | −2.47941 | + | 4.70604i | −0.168313 | + | 0.319467i | ||||
\(218\) | −0.433122 | − | 1.61643i | −0.0293347 | − | 0.109479i | ||||
\(219\) | 9.41869 | − | 4.74157i | 0.636456 | − | 0.320405i | ||||
\(220\) | −23.2387 | − | 5.28073i | −1.56675 | − | 0.356026i | ||||
\(221\) | −1.51844 | −0.102142 | ||||||||
\(222\) | −28.9461 | + | 25.8097i | −1.94274 | + | 1.73223i | ||||
\(223\) | −8.48531 | + | 2.27363i | −0.568218 | + | 0.152254i | −0.531479 | − | 0.847071i | \(-0.678364\pi\) |
−0.0367391 | + | 0.999325i | \(0.511697\pi\) | |||||||
\(224\) | 11.6162 | + | 37.4860i | 0.776140 | + | 2.50464i | ||||
\(225\) | 7.00471 | + | 13.2640i | 0.466981 | + | 0.884267i | ||||
\(226\) | −10.1643 | − | 17.6050i | −0.676116 | − | 1.17107i | ||||
\(227\) | 19.4348 | + | 5.20755i | 1.28994 | + | 0.345637i | 0.837636 | − | 0.546229i | \(-0.183937\pi\) |
0.452300 | + | 0.891866i | \(0.350604\pi\) | |||||||
\(228\) | −1.15404 | + | 1.02900i | −0.0764285 | + | 0.0681471i | ||||
\(229\) | −9.82721 | + | 17.0212i | −0.649400 | + | 1.12479i | 0.333866 | + | 0.942620i | \(0.391647\pi\) |
−0.983266 | + | 0.182174i | \(0.941687\pi\) | |||||||
\(230\) | −33.6562 | + | 10.4168i | −2.21922 | + | 0.686862i | ||||
\(231\) | 2.30979 | + | 9.30632i | 0.151973 | + | 0.612311i | ||||
\(232\) | −27.3443 | + | 7.32689i | −1.79524 | + | 0.481034i | ||||
\(233\) | −3.03747 | − | 0.813887i | −0.198991 | − | 0.0533195i | 0.157947 | − | 0.987448i | \(-0.449513\pi\) |
−0.356938 | + | 0.934128i | \(0.616179\pi\) | |||||||
\(234\) | 20.6953 | − | 27.9103i | 1.35290 | − | 1.82456i | ||||
\(235\) | 12.6308 | − | 0.484696i | 0.823942 | − | 0.0316181i | ||||
\(236\) | − | 22.7941i | − | 1.48377i | ||||||
\(237\) | 1.81635 | + | 8.75417i | 0.117985 | + | 0.568645i | ||||
\(238\) | −2.08165 | + | 1.31176i | −0.134933 | + | 0.0850287i | ||||
\(239\) | −14.8767 | + | 8.58906i | −0.962293 | + | 0.555580i | −0.896878 | − | 0.442278i | \(-0.854170\pi\) |
−0.0654149 | + | 0.997858i | \(0.520837\pi\) | |||||||
\(240\) | 38.9950 | + | 23.5054i | 2.51712 | + | 1.51727i | ||||
\(241\) | −16.5244 | + | 9.54036i | −1.06443 | + | 0.614549i | −0.926654 | − | 0.375915i | \(-0.877329\pi\) |
−0.137775 | + | 0.990463i | \(0.543995\pi\) | |||||||
\(242\) | 17.0352 | − | 4.56456i | 1.09506 | − | 0.293421i | ||||
\(243\) | −8.11982 | + | 13.3067i | −0.520887 | + | 0.853626i | ||||
\(244\) | −69.6933 | −4.46166 | ||||||||
\(245\) | −2.27790 | + | 15.4858i | −0.145529 | + | 0.989354i | ||||
\(246\) | −35.5741 | − | 2.03770i | −2.26812 | − | 0.129919i | ||||
\(247\) | −0.736184 | + | 0.197260i | −0.0468423 | + | 0.0125514i | ||||
\(248\) | 11.7126 | + | 11.7126i | 0.743752 | + | 0.743752i | ||||
\(249\) | 13.9857 | − | 7.04071i | 0.886309 | − | 0.446187i | ||||
\(250\) | −29.5802 | + | 3.41878i | −1.87082 | + | 0.216223i | ||||
\(251\) | − | 12.7182i | − | 0.802765i | −0.915911 | − | 0.401383i | \(-0.868530\pi\) | ||
0.915911 | − | 0.401383i | \(-0.131470\pi\) | |||||||
\(252\) | 3.05900 | − | 40.3120i | 0.192699 | − | 2.53942i | ||||
\(253\) | −8.75286 | + | 8.75286i | −0.550288 | + | 0.550288i | ||||
\(254\) | − | 22.7517i | − | 1.42757i | ||||||
\(255\) | −0.374590 | + | 1.29943i | −0.0234577 | + | 0.0813737i | ||||
\(256\) | 2.44922 | 0.153076 | ||||||||
\(257\) | 2.37624 | + | 8.86826i | 0.148226 | + | 0.553187i | 0.999591 | + | 0.0286123i | \(0.00910883\pi\) |
−0.851365 | + | 0.524574i | \(0.824225\pi\) | |||||||
\(258\) | 8.56491 | − | 25.9308i | 0.533228 | − | 1.61438i | ||||
\(259\) | −15.1077 | + | 16.3247i | −0.938746 | + | 1.01437i | ||||
\(260\) | 26.3905 | + | 41.9114i | 1.63667 | + | 2.59923i | ||||
\(261\) | 10.2406 | + | 1.17704i | 0.633878 | + | 0.0728568i | ||||
\(262\) | −5.67132 | − | 21.1656i | −0.350375 | − | 1.30762i | ||||
\(263\) | 8.49338 | + | 2.27579i | 0.523724 | + | 0.140331i | 0.510989 | − | 0.859587i | \(-0.329279\pi\) |
0.0127355 | + | 0.999919i | \(0.495946\pi\) | |||||||
\(264\) | 29.8104 | + | 1.70755i | 1.83470 | + | 0.105093i | ||||
\(265\) | 11.1038 | − | 21.0581i | 0.682101 | − | 1.29359i | ||||
\(266\) | −0.838833 | + | 0.906404i | −0.0514322 | + | 0.0555752i | ||||
\(267\) | 13.3345 | + | 14.9550i | 0.816061 | + | 0.915230i | ||||
\(268\) | 28.6044 | − | 28.6044i | 1.74729 | − | 1.74729i | ||||
\(269\) | 4.81147 | − | 8.33372i | 0.293361 | − | 0.508116i | −0.681241 | − | 0.732059i | \(-0.738560\pi\) |
0.974602 | + | 0.223943i | \(0.0718930\pi\) | |||||||
\(270\) | −18.7794 | − | 24.5957i | −1.14288 | − | 1.49685i | ||||
\(271\) | 16.7652 | − | 9.67937i | 1.01841 | − | 0.587980i | 0.104768 | − | 0.994497i | \(-0.466590\pi\) |
0.913643 | + | 0.406517i | \(0.133257\pi\) | |||||||
\(272\) | 1.06244 | + | 3.96509i | 0.0644201 | + | 0.240419i | ||||
\(273\) | 10.2819 | − | 17.0707i | 0.622290 | − | 1.03317i | ||||
\(274\) | 0.0180391 | − | 0.0104149i | 0.00108978 | − | 0.000629185i | ||||
\(275\) | −8.63292 | + | 5.91002i | −0.520585 | + | 0.356388i | ||||
\(276\) | 46.6162 | − | 23.4676i | 2.80596 | − | 1.41258i | ||||
\(277\) | 4.30673 | − | 16.0729i | 0.258766 | − | 0.965730i | −0.707190 | − | 0.707024i | \(-0.750037\pi\) |
0.965956 | − | 0.258706i | \(-0.0832960\pi\) | |||||||
\(278\) | 3.52956 | − | 13.1725i | 0.211689 | − | 0.790034i | ||||
\(279\) | −2.39956 | − | 5.53358i | −0.143658 | − | 0.331287i | ||||
\(280\) | 43.9625 | + | 21.0493i | 2.62726 | + | 1.25794i | ||||
\(281\) | −5.59203 | + | 9.68569i | −0.333593 | + | 0.577800i | −0.983213 | − | 0.182459i | \(-0.941594\pi\) |
0.649621 | + | 0.760258i | \(0.274928\pi\) | |||||||
\(282\) | −25.5330 | + | 5.29769i | −1.52047 | + | 0.315473i | ||||
\(283\) | −8.81890 | − | 8.81890i | −0.524229 | − | 0.524229i | 0.394617 | − | 0.918846i | \(-0.370877\pi\) |
−0.918846 | + | 0.394617i | \(0.870877\pi\) | |||||||
\(284\) | 44.5886i | 2.64584i | ||||||||
\(285\) | −0.0128030 | + | 0.678666i | −0.000758382 | + | 0.0402007i | ||||
\(286\) | 20.9876 | + | 12.1172i | 1.24102 | + | 0.716506i | ||||
\(287\) | −20.4212 | + | 0.790653i | −1.20542 | + | 0.0466708i | ||||
\(288\) | −41.3866 | − | 16.3500i | −2.43873 | − | 0.963430i | ||||
\(289\) | 14.6168 | − | 8.43904i | 0.859814 | − | 0.496414i | ||||
\(290\) | −9.54440 | + | 18.1007i | −0.560466 | + | 1.06291i | ||||
\(291\) | 4.18621 | + | 8.31552i | 0.245400 | + | 0.487465i | ||||
\(292\) | −8.02577 | − | 29.9526i | −0.469673 | − | 1.75284i | ||||
\(293\) | −0.646712 | + | 2.41356i | −0.0377813 | + | 0.141002i | −0.982240 | − | 0.187628i | \(-0.939920\pi\) |
0.944459 | + | 0.328630i | \(0.106587\pi\) | |||||||
\(294\) | −0.651533 | − | 32.2848i | −0.0379982 | − | 1.88289i | ||||
\(295\) | −7.34203 | − | 6.79937i | −0.427470 | − | 0.395875i | ||||
\(296\) | 34.6319 | + | 59.9843i | 2.01294 | + | 3.48652i | ||||
\(297\) | −9.86706 | − | 4.56655i | −0.572545 | − | 0.264978i | ||||
\(298\) | −0.904535 | − | 3.37577i | −0.0523983 | − | 0.195553i | ||||
\(299\) | 25.7259 | 1.48777 | ||||||||
\(300\) | 42.3768 | − | 12.2449i | 2.44662 | − | 0.706961i | ||||
\(301\) | 3.46540 | − | 15.2743i | 0.199743 | − | 0.880396i | ||||
\(302\) | 11.2222 | − | 41.8818i | 0.645765 | − | 2.41003i | ||||
\(303\) | −1.66765 | + | 1.48696i | −0.0958043 | + | 0.0854235i | ||||
\(304\) | 1.03021 | + | 1.78437i | 0.0590863 | + | 0.102341i | ||||
\(305\) | −20.7892 | + | 22.4484i | −1.19038 | + | 1.28539i | ||||
\(306\) | 0.318571 | − | 2.77168i | 0.0182115 | − | 0.158446i | ||||
\(307\) | −8.07444 | + | 8.07444i | −0.460833 | + | 0.460833i | −0.898928 | − | 0.438096i | \(-0.855653\pi\) |
0.438096 | + | 0.898928i | \(0.355653\pi\) | |||||||
\(308\) | 28.1763 | − | 1.09091i | 1.60549 | − | 0.0621604i | ||||
\(309\) | −10.6961 | + | 5.38465i | −0.608480 | + | 0.306322i | ||||
\(310\) | 11.9645 | − | 0.459127i | 0.679537 | − | 0.0260767i | ||||
\(311\) | − | 16.4289i | − | 0.931599i | −0.884890 | − | 0.465800i | \(-0.845767\pi\) | ||
0.884890 | − | 0.465800i | \(-0.154233\pi\) | |||||||
\(312\) | −41.2991 | − | 46.3179i | −2.33810 | − | 2.62223i | ||||
\(313\) | 19.5200 | + | 19.5200i | 1.10333 | + | 1.10333i | 0.994006 | + | 0.109328i | \(0.0348700\pi\) |
0.109328 | + | 0.994006i | \(0.465130\pi\) | |||||||
\(314\) | −51.8503 | −2.92608 | ||||||||
\(315\) | −12.0721 | − | 13.0102i | −0.680185 | − | 0.733040i | ||||
\(316\) | 26.2916 | 1.47902 | ||||||||
\(317\) | −8.83242 | − | 8.83242i | −0.496078 | − | 0.496078i | 0.414137 | − | 0.910215i | \(-0.364084\pi\) |
−0.910215 | + | 0.414137i | \(0.864084\pi\) | |||||||
\(318\) | −15.4034 | + | 46.6347i | −0.863781 | + | 2.61515i | ||||
\(319\) | 7.18958i | 0.402539i | ||||||||
\(320\) | 24.2992 | − | 26.2386i | 1.35837 | − | 1.46678i | ||||
\(321\) | −1.60766 | + | 28.0664i | −0.0897307 | + | 1.56651i | ||||
\(322\) | 35.2680 | − | 22.2242i | 1.96541 | − | 1.23851i | ||||
\(323\) | −0.0432729 | + | 0.0432729i | −0.00240777 | + | 0.00240777i | ||||
\(324\) | 33.4640 | + | 31.3297i | 1.85911 | + | 1.74054i | ||||
\(325\) | 21.3719 | + | 4.00150i | 1.18550 | + | 0.221963i | ||||
\(326\) | 8.24767 | + | 14.2854i | 0.456796 | + | 0.791194i | ||||
\(327\) | 1.03338 | + | 0.341325i | 0.0571462 | + | 0.0188753i | ||||
\(328\) | −16.4711 | + | 61.4709i | −0.909463 | + | 3.39416i | ||||
\(329\) | −14.2858 | + | 4.42689i | −0.787600 | + | 0.244062i | ||||
\(330\) | 15.5470 | − | 14.9713i | 0.855836 | − | 0.824143i | ||||
\(331\) | −11.3010 | −0.621160 | −0.310580 | − | 0.950547i | \(-0.600523\pi\) | ||||
−0.310580 | + | 0.950547i | \(0.600523\pi\) | |||||||
\(332\) | −11.9174 | − | 44.4764i | −0.654052 | − | 2.44096i | ||||
\(333\) | −3.70319 | − | 24.9475i | −0.202934 | − | 1.36711i | ||||
\(334\) | −4.04404 | − | 7.00448i | −0.221280 | − | 0.383268i | ||||
\(335\) | −0.680990 | − | 17.7461i | −0.0372065 | − | 0.969571i | ||||
\(336\) | −51.7708 | − | 14.9048i | −2.82433 | − | 0.813124i | ||||
\(337\) | −0.899064 | + | 3.35535i | −0.0489752 | + | 0.182778i | −0.986080 | − | 0.166269i | \(-0.946828\pi\) |
0.937105 | + | 0.349047i | \(0.113495\pi\) | |||||||
\(338\) | −4.07449 | − | 15.2062i | −0.221623 | − | 0.827108i | ||||
\(339\) | 13.1986 | + | 0.756020i | 0.716848 | + | 0.0410614i | ||||
\(340\) | 3.51776 | + | 1.85489i | 0.190777 | + | 0.100596i | ||||
\(341\) | 3.64318 | − | 2.10339i | 0.197289 | − | 0.113905i | ||||
\(342\) | −0.205614 | − | 1.38517i | −0.0111184 | − | 0.0749016i | ||||
\(343\) | −2.14526 | − | 18.3956i | −0.115833 | − | 0.993269i | ||||
\(344\) | −42.2387 | − | 24.3865i | −2.27736 | − | 1.31483i | ||||
\(345\) | 6.34642 | − | 22.0154i | 0.341680 | − | 1.18527i | ||||
\(346\) | 35.3568i | 1.90079i | ||||||||
\(347\) | 20.9854 | + | 20.9854i | 1.12656 | + | 1.12656i | 0.990733 | + | 0.135824i | \(0.0433682\pi\) |
0.135824 | + | 0.990733i | \(0.456632\pi\) | |||||||
\(348\) | 9.50711 | − | 28.7833i | 0.509634 | − | 1.54295i | ||||
\(349\) | −9.76543 | + | 16.9142i | −0.522732 | + | 0.905398i | 0.476919 | + | 0.878947i | \(0.341754\pi\) |
−0.999650 | + | 0.0264501i | \(0.991580\pi\) | |||||||
\(350\) | 32.7558 | − | 12.9772i | 1.75087 | − | 0.693659i | ||||
\(351\) | 7.78949 | + | 21.2112i | 0.415772 | + | 1.13217i | ||||
\(352\) | 8.03296 | − | 29.9794i | 0.428158 | − | 1.59791i | ||||
\(353\) | 2.52026 | − | 9.40572i | 0.134140 | − | 0.500616i | −0.865860 | − | 0.500286i | \(-0.833228\pi\) |
1.00000 | 0.000330190i | \(-0.000105103\pi\) | ||||||||
\(354\) | 17.2590 | + | 11.3277i | 0.917304 | + | 0.602060i | ||||
\(355\) | 14.3621 | + | 13.3005i | 0.762260 | + | 0.705920i | ||||
\(356\) | 51.0273 | − | 29.4606i | 2.70444 | − | 1.56141i | ||||
\(357\) | 0.0296325 | − | 1.59985i | 0.00156832 | − | 0.0846728i | ||||
\(358\) | −1.13867 | − | 4.24957i | −0.0601805 | − | 0.224597i | ||||
\(359\) | −6.98363 | + | 4.03200i | −0.368582 | + | 0.212801i | −0.672839 | − | 0.739789i | \(-0.734925\pi\) |
0.304257 | + | 0.952590i | \(0.401592\pi\) | |||||||
\(360\) | −49.8256 | + | 23.9162i | −2.62604 | + | 1.26049i | ||||
\(361\) | 9.48464 | − | 16.4279i | 0.499192 | − | 0.864625i | ||||
\(362\) | −10.6802 | + | 10.6802i | −0.561341 | + | 0.561341i | ||||
\(363\) | −3.59714 | + | 10.8906i | −0.188801 | + | 0.571606i | ||||
\(364\) | −43.0102 | − | 39.8039i | −2.25435 | − | 2.08629i | ||||
\(365\) | −12.0418 | − | 6.34959i | −0.630299 | − | 0.332353i | ||||
\(366\) | 34.6346 | − | 52.7695i | 1.81038 | − | 2.75831i | ||||
\(367\) | −3.97208 | − | 1.06432i | −0.207341 | − | 0.0555569i | 0.153653 | − | 0.988125i | \(-0.450896\pi\) |
−0.360995 | + | 0.932568i | \(0.617563\pi\) | |||||||
\(368\) | −18.0003 | − | 67.1779i | −0.938328 | − | 3.50189i | ||||
\(369\) | 13.8021 | − | 18.6139i | 0.718510 | − | 0.969003i | ||||
\(370\) | 48.8223 | + | 11.0943i | 2.53815 | + | 0.576766i | ||||
\(371\) | −6.23230 | + | 27.4698i | −0.323565 | + | 1.42616i | ||||
\(372\) | −17.3668 | + | 3.60333i | −0.900425 | + | 0.186824i | ||||
\(373\) | 1.65110 | + | 6.16197i | 0.0854905 | + | 0.319055i | 0.995407 | − | 0.0957374i | \(-0.0305209\pi\) |
−0.909916 | + | 0.414792i | \(0.863854\pi\) | |||||||
\(374\) | 1.94590 | 0.100620 | ||||||||
\(375\) | 8.69666 | − | 17.3023i | 0.449094 | − | 0.893485i | ||||
\(376\) | 46.5729i | 2.40182i | ||||||||
\(377\) | 10.5656 | − | 10.5656i | 0.544157 | − | 0.544157i | ||||
\(378\) | 29.0027 | + | 22.3495i | 1.49174 | + | 1.14953i | ||||
\(379\) | − | 1.63911i | − | 0.0841953i | −0.999114 | − | 0.0420977i | \(-0.986596\pi\) | ||
0.999114 | − | 0.0420977i | \(-0.0134041\pi\) | |||||||
\(380\) | 1.94648 | + | 0.442315i | 0.0998523 | + | 0.0226903i | ||||
\(381\) | 12.3697 | + | 8.11869i | 0.633719 | + | 0.415933i | ||||
\(382\) | 15.7820 | + | 15.7820i | 0.807478 | + | 0.807478i | ||||
\(383\) | −22.2750 | + | 5.96856i | −1.13820 | + | 0.304979i | −0.778227 | − | 0.627984i | \(-0.783880\pi\) |
−0.359972 | + | 0.932963i | \(0.617214\pi\) | |||||||
\(384\) | −12.2880 | + | 18.7221i | −0.627070 | + | 0.955409i | ||||
\(385\) | 8.05346 | − | 9.40105i | 0.410442 | − | 0.479122i | ||||
\(386\) | −44.7526 | −2.27785 | ||||||||
\(387\) | 11.0418 | + | 13.9097i | 0.561288 | + | 0.707071i | ||||
\(388\) | 26.4444 | − | 7.08576i | 1.34251 | − | 0.359725i | ||||
\(389\) | −29.2171 | + | 16.8685i | −1.48136 | + | 0.855266i | −0.999777 | − | 0.0211326i | \(-0.993273\pi\) |
−0.481587 | + | 0.876398i | \(0.659939\pi\) | |||||||
\(390\) | −44.8489 | − | 0.846070i | −2.27101 | − | 0.0428424i | ||||
\(391\) | 1.78891 | − | 1.03283i | 0.0904693 | − | 0.0522325i | ||||
\(392\) | −56.6945 | − | 10.5748i | −2.86350 | − | 0.534107i | ||||
\(393\) | 13.5312 | + | 4.46933i | 0.682557 | + | 0.225448i | ||||
\(394\) | 66.0423i | 3.32716i | ||||||||
\(395\) | 7.84267 | − | 8.46860i | 0.394607 | − | 0.426101i | ||||
\(396\) | −19.0436 | + | 25.6827i | −0.956976 | + | 1.29061i | ||||
\(397\) | −4.48097 | − | 1.20067i | −0.224893 | − | 0.0602600i | 0.144613 | − | 0.989488i | \(-0.453806\pi\) |
−0.369506 | + | 0.929228i | \(0.620473\pi\) | |||||||
\(398\) | 26.4689 | − | 7.09232i | 1.32677 | − | 0.355506i | ||||
\(399\) | −0.193468 | − | 0.779501i | −0.00968554 | − | 0.0390238i | ||||
\(400\) | −4.50470 | − | 58.6081i | −0.225235 | − | 2.93040i | ||||
\(401\) | 3.73887 | − | 6.47591i | 0.186710 | − | 0.323391i | −0.757441 | − | 0.652903i | \(-0.773551\pi\) |
0.944151 | + | 0.329512i | \(0.106884\pi\) | |||||||
\(402\) | 7.44317 | + | 35.8734i | 0.371232 | + | 1.78920i | ||||
\(403\) | −8.44500 | − | 2.26283i | −0.420675 | − | 0.112720i | ||||
\(404\) | 3.28520 | + | 5.69014i | 0.163445 | + | 0.283095i | ||||
\(405\) | 20.0735 | − | 1.43332i | 0.997460 | − | 0.0712224i | ||||
\(406\) | 5.35705 | − | 23.6120i | 0.265866 | − | 1.17184i | ||||
\(407\) | 16.9915 | − | 4.55285i | 0.842236 | − | 0.225676i | ||||
\(408\) | −4.73138 | − | 1.56277i | −0.234238 | − | 0.0773686i | ||||
\(409\) | −9.33356 | −0.461515 | −0.230757 | − | 0.973011i | \(-0.574120\pi\) | ||||
−0.230757 | + | 0.973011i | \(0.574120\pi\) | |||||||
\(410\) | 24.5114 | + | 38.9270i | 1.21053 | + | 1.92247i | ||||
\(411\) | −0.000774661 | 0.0135240i | −3.82112e−5 | 0.000667090i | ||||||
\(412\) | 9.11428 | + | 34.0149i | 0.449028 | + | 1.67580i | ||||
\(413\) | 10.4753 | + | 5.51899i | 0.515457 | + | 0.271572i | ||||
\(414\) | −5.39734 | + | 46.9586i | −0.265265 | + | 2.30789i | ||||
\(415\) | −17.8808 | − | 9.42845i | −0.877736 | − | 0.462825i | ||||
\(416\) | −55.8620 | + | 32.2519i | −2.73886 | + | 1.58128i | ||||
\(417\) | 5.90218 | + | 6.61943i | 0.289031 | + | 0.324155i | ||||
\(418\) | 0.943428 | − | 0.252791i | 0.0461446 | − | 0.0123644i | ||||
\(419\) | 3.06061 | + | 5.30113i | 0.149520 | + | 0.258977i | 0.931050 | − | 0.364891i | \(-0.118894\pi\) |
−0.781530 | + | 0.623868i | \(0.785560\pi\) | |||||||
\(420\) | −44.6732 | + | 26.9874i | −2.17983 | + | 1.31685i | ||||
\(421\) | 12.5061 | − | 21.6612i | 0.609510 | − | 1.05570i | −0.381812 | − | 0.924240i | \(-0.624700\pi\) |
0.991321 | − | 0.131461i | \(-0.0419669\pi\) | |||||||
\(422\) | −8.02031 | + | 29.9322i | −0.390423 | + | 1.45708i | ||||
\(423\) | 6.23090 | − | 15.7723i | 0.302957 | − | 0.766875i | ||||
\(424\) | 75.9635 | + | 43.8576i | 3.68911 | + | 2.12991i | ||||
\(425\) | 1.64680 | − | 0.579774i | 0.0798814 | − | 0.0281232i | ||||
\(426\) | −33.7610 | − | 22.1586i | −1.63573 | − | 1.07359i | ||||
\(427\) | 16.8744 | − | 32.0285i | 0.816608 | − | 1.54997i | ||||
\(428\) | 79.8531 | + | 21.3966i | 3.85985 | + | 1.03424i | ||||
\(429\) | −14.0771 | + | 7.08673i | −0.679651 | + | 0.342151i | ||||
\(430\) | −33.6791 | + | 10.4239i | −1.62415 | + | 0.502683i | ||||
\(431\) | −13.9494 | + | 24.1611i | −0.671921 | + | 1.16380i | 0.305438 | + | 0.952212i | \(0.401197\pi\) |
−0.977359 | + | 0.211589i | \(0.932136\pi\) | |||||||
\(432\) | 49.9384 | − | 35.1819i | 2.40266 | − | 1.69269i | ||||
\(433\) | −9.92080 | − | 9.92080i | −0.476763 | − | 0.476763i | 0.427332 | − | 0.904095i | \(-0.359454\pi\) |
−0.904095 | + | 0.427332i | \(0.859454\pi\) | |||||||
\(434\) | −13.5322 | + | 4.19336i | −0.649564 | + | 0.201288i | ||||
\(435\) | −6.43525 | − | 11.6482i | −0.308547 | − | 0.558488i | ||||
\(436\) | 1.60017 | − | 2.77157i | 0.0766342 | − | 0.132734i | ||||
\(437\) | 0.733143 | − | 0.733143i | 0.0350710 | − | 0.0350710i | ||||
\(438\) | 26.6676 | + | 8.80829i | 1.27423 | + | 0.420876i | ||||
\(439\) | −18.1191 | −0.864775 | −0.432388 | − | 0.901688i | \(-0.642329\pi\) | ||||
−0.432388 | + | 0.901688i | \(0.642329\pi\) | |||||||
\(440\) | −20.5400 | − | 32.6200i | −0.979206 | − | 1.55510i | ||||
\(441\) | 17.7852 | + | 11.1663i | 0.846916 | + | 0.531727i | ||||
\(442\) | −2.85964 | − | 2.85964i | −0.136019 | − | 0.136019i | ||||
\(443\) | −12.5158 | + | 12.5158i | −0.594644 | + | 0.594644i | −0.938882 | − | 0.344238i | \(-0.888137\pi\) |
0.344238 | + | 0.938882i | \(0.388137\pi\) | |||||||
\(444\) | −74.0454 | − | 4.24136i | −3.51404 | − | 0.201286i | ||||
\(445\) | 5.73186 | − | 25.2240i | 0.271716 | − | 1.19573i | ||||
\(446\) | −20.2620 | − | 11.6983i | −0.959435 | − | 0.553930i | ||||
\(447\) | 2.15812 | + | 0.712827i | 0.102076 | + | 0.0337156i | ||||
\(448\) | −19.7235 | + | 37.4362i | −0.931847 | + | 1.76869i | ||||
\(449\) | − | 7.52058i | − | 0.354918i | −0.984128 | − | 0.177459i | \(-0.943212\pi\) | ||
0.984128 | − | 0.177459i | \(-0.0567878\pi\) | |||||||
\(450\) | −11.7880 | + | 38.1715i | −0.555690 | + | 1.79942i | ||||
\(451\) | 13.9971 | + | 8.08120i | 0.659095 | + | 0.380529i | ||||
\(452\) | 10.0620 | − | 37.5519i | 0.473276 | − | 1.76629i | ||||
\(453\) | 18.7660 | + | 21.0464i | 0.881702 | + | 0.988848i | ||||
\(454\) | 26.7939 | + | 46.4083i | 1.25750 | + | 2.17805i | ||||
\(455\) | −25.6507 | + | 1.98039i | −1.20252 | + | 0.0928422i | ||||
\(456\) | −2.49693 | − | 0.143025i | −0.116929 | − | 0.00669777i | ||||
\(457\) | −26.0379 | − | 26.0379i | −1.21800 | − | 1.21800i | −0.968330 | − | 0.249673i | \(-0.919677\pi\) |
−0.249673 | − | 0.968330i | \(-0.580323\pi\) | |||||||
\(458\) | −50.5629 | + | 13.5483i | −2.36265 | + | 0.633070i | ||||
\(459\) | 1.39324 | + | 1.16225i | 0.0650307 | + | 0.0542490i | ||||
\(460\) | −59.5991 | − | 31.4262i | −2.77882 | − | 1.46526i | ||||
\(461\) | −21.2129 | − | 12.2473i | −0.987984 | − | 0.570413i | −0.0833128 | − | 0.996523i | \(-0.526550\pi\) |
−0.904671 | + | 0.426111i | \(0.859883\pi\) | |||||||
\(462\) | −13.1764 | + | 21.8763i | −0.613021 | + | 1.01778i | ||||
\(463\) | −3.86069 | − | 1.03447i | −0.179422 | − | 0.0480759i | 0.167990 | − | 0.985789i | \(-0.446273\pi\) |
−0.347411 | + | 0.937713i | \(0.612939\pi\) | |||||||
\(464\) | −34.9826 | − | 20.1972i | −1.62402 | − | 0.937631i | ||||
\(465\) | −4.01978 | + | 6.66873i | −0.186413 | + | 0.309255i | ||||
\(466\) | −4.18761 | − | 7.25315i | −0.193987 | − | 0.335996i | ||||
\(467\) | 23.0508 | + | 6.17645i | 1.06667 | + | 0.285812i | 0.749122 | − | 0.662432i | \(-0.230475\pi\) |
0.317543 | + | 0.948244i | \(0.397142\pi\) | |||||||
\(468\) | 65.7286 | − | 9.75672i | 3.03831 | − | 0.451005i | ||||
\(469\) | 6.21972 | + | 20.0713i | 0.287200 | + | 0.926806i | ||||
\(470\) | 24.7000 | + | 22.8744i | 1.13933 | + | 1.05512i | ||||
\(471\) | 18.5022 | − | 28.1902i | 0.852538 | − | 1.29894i | ||||
\(472\) | 26.0715 | − | 26.0715i | 1.20004 | − | 1.20004i | ||||
\(473\) | −8.75882 | + | 8.75882i | −0.402731 | + | 0.402731i | ||||
\(474\) | −13.0658 | + | 19.9072i | −0.600133 | + | 0.914367i | ||||
\(475\) | 0.723096 | − | 0.495025i | 0.0331779 | − | 0.0227133i | ||||
\(476\) | −4.58884 | − | 1.04111i | −0.210329 | − | 0.0477191i | ||||
\(477\) | −19.8580 | − | 25.0157i | −0.909236 | − | 1.14539i | ||||
\(478\) | −44.1924 | − | 11.8413i | −2.02131 | − | 0.541609i | ||||
\(479\) | 5.75882 | + | 9.97457i | 0.263127 | + | 0.455750i | 0.967071 | − | 0.254506i | \(-0.0819128\pi\) |
−0.703944 | + | 0.710255i | \(0.748579\pi\) | |||||||
\(480\) | 13.8194 | + | 55.7612i | 0.630766 | + | 2.54514i | ||||
\(481\) | −31.6610 | − | 18.2795i | −1.44362 | − | 0.833472i | ||||
\(482\) | −49.0870 | − | 13.1528i | −2.23585 | − | 0.599095i | ||||
\(483\) | −0.502043 | + | 27.1051i | −0.0228438 | + | 1.23333i | ||||
\(484\) | 29.2089 | + | 16.8638i | 1.32768 | + | 0.766535i | ||||
\(485\) | 5.60590 | − | 10.6314i | 0.254551 | − | 0.482749i | ||||
\(486\) | −40.3520 | + | 9.76833i | −1.83040 | + | 0.443101i | ||||
\(487\) | −30.9084 | + | 8.28189i | −1.40060 | + | 0.375288i | −0.878559 | − | 0.477635i | \(-0.841494\pi\) |
−0.522037 | + | 0.852923i | \(0.674828\pi\) | |||||||
\(488\) | −79.7139 | − | 79.7139i | −3.60848 | − | 3.60848i | ||||
\(489\) | −10.7098 | − | 0.613464i | −0.484315 | − | 0.0277418i | ||||
\(490\) | −33.4540 | + | 24.8742i | −1.51130 | + | 1.12370i | ||||
\(491\) | 6.94331 | + | 12.0262i | 0.313347 | + | 0.542733i | 0.979085 | − | 0.203453i | \(-0.0652164\pi\) |
−0.665738 | + | 0.746186i | \(0.731883\pi\) | |||||||
\(492\) | −45.3507 | − | 50.8618i | −2.04457 | − | 2.29303i | ||||
\(493\) | 0.310523 | − | 1.15889i | 0.0139853 | − | 0.0521937i | ||||
\(494\) | −1.75793 | − | 1.01494i | −0.0790930 | − | 0.0456644i | ||||
\(495\) | 2.59186 | + | 13.7950i | 0.116495 | + | 0.620040i | ||||
\(496\) | 23.6356i | 1.06127i | ||||||||
\(497\) | −20.4912 | − | 10.7959i | −0.919158 | − | 0.484264i | ||||
\(498\) | 39.5985 | + | 13.0794i | 1.77445 | + | 0.586100i | ||||
\(499\) | −0.520439 | − | 0.300476i | −0.0232981 | − | 0.0134511i | 0.488306 | − | 0.872673i | \(-0.337615\pi\) |
−0.511604 | + | 0.859221i | \(0.670948\pi\) | |||||||
\(500\) | −44.6240 | − | 35.3777i | −1.99565 | − | 1.58214i | ||||
\(501\) | 5.25129 | + | 0.300797i | 0.234610 | + | 0.0134386i | ||||
\(502\) | 23.9518 | − | 23.9518i | 1.06902 | − | 1.06902i | ||||
\(503\) | 26.3959 | + | 26.3959i | 1.17694 | + | 1.17694i | 0.980521 | + | 0.196416i | \(0.0629303\pi\) |
0.196416 | + | 0.980521i | \(0.437070\pi\) | |||||||
\(504\) | 49.6069 | − | 42.6093i | 2.20967 | − | 1.89797i | ||||
\(505\) | 2.81277 | + | 0.639169i | 0.125166 | + | 0.0284426i | ||||
\(506\) | −32.9681 | −1.46561 | ||||||||
\(507\) | 9.72130 | + | 3.21094i | 0.431738 | + | 0.142603i | ||||
\(508\) | 30.7667 | − | 30.7667i | 1.36505 | − | 1.36505i | ||||
\(509\) | 13.0343 | − | 22.5761i | 0.577737 | − | 1.00067i | −0.418002 | − | 0.908446i | \(-0.637269\pi\) |
0.995738 | − | 0.0922229i | \(-0.0293972\pi\) | |||||||
\(510\) | −3.15264 | + | 1.74173i | −0.139601 | + | 0.0771253i | ||||
\(511\) | 15.7083 | + | 3.56388i | 0.694896 | + | 0.157657i | ||||
\(512\) | −13.6725 | − | 13.6725i | −0.604243 | − | 0.604243i | ||||
\(513\) | 0.826468 | + | 0.382495i | 0.0364894 | + | 0.0168876i | ||||
\(514\) | −12.2262 | + | 21.1765i | −0.539276 | + | 0.934053i | ||||
\(515\) | 13.6750 | + | 7.21076i | 0.602594 | + | 0.317744i | ||||
\(516\) | 46.6479 | − | 23.4835i | 2.05356 | − | 1.03380i | ||||
\(517\) | 11.4250 | + | 3.06133i | 0.502473 | + | 0.134637i | ||||
\(518\) | −59.1957 | + | 2.29190i | −2.60091 | + | 0.100700i | ||||
\(519\) | −19.2229 | − | 12.6167i | −0.843792 | − | 0.553812i | ||||
\(520\) | −17.7524 | + | 78.1225i | −0.778496 | + | 3.42590i | ||||
\(521\) | 14.1763 | + | 8.18471i | 0.621077 | + | 0.358579i | 0.777288 | − | 0.629145i | \(-0.216595\pi\) |
−0.156211 | + | 0.987724i | \(0.549928\pi\) | |||||||
\(522\) | 17.0692 | + | 21.5025i | 0.747098 | + | 0.941141i | ||||
\(523\) | 2.28723 | − | 8.53604i | 0.100013 | − | 0.373255i | −0.897718 | − | 0.440570i | \(-0.854776\pi\) |
0.997732 | + | 0.0673147i | \(0.0214431\pi\) | |||||||
\(524\) | 20.9527 | − | 36.2911i | 0.915323 | − | 1.58539i | ||||
\(525\) | −4.63309 | + | 22.4396i | −0.202205 | + | 0.979343i | ||||
\(526\) | 11.7094 | + | 20.2813i | 0.510555 | + | 0.884306i | ||||
\(527\) | −0.678090 | + | 0.181694i | −0.0295381 | + | 0.00791470i | ||||
\(528\) | 28.3552 | + | 31.8009i | 1.23400 | + | 1.38396i | ||||
\(529\) | −10.3898 | + | 5.99855i | −0.451730 | + | 0.260806i | ||||
\(530\) | 60.5696 | − | 18.7466i | 2.63097 | − | 0.814302i | ||||
\(531\) | −12.3174 | + | 5.34125i | −0.534528 | + | 0.231791i | ||||
\(532\) | −2.36005 | + | 0.0913750i | −0.102321 | + | 0.00396161i | ||||
\(533\) | −8.69377 | − | 32.4456i | −0.376569 | − | 1.40538i | ||||
\(534\) | −3.05173 | + | 53.2769i | −0.132061 | + | 2.30552i | ||||
\(535\) | 30.7117 | − | 19.3384i | 1.32778 | − | 0.836071i | ||||
\(536\) | 65.4343 | 2.82633 | ||||||||
\(537\) | 2.71674 | + | 0.897338i | 0.117236 | + | 0.0387230i | ||||
\(538\) | 24.7560 | − | 6.63335i | 1.06731 | − | 0.285984i | ||||
\(539\) | −6.32079 | + | 13.2129i | −0.272256 | + | 0.569120i | ||||
\(540\) | 7.86531 | − | 58.6553i | 0.338469 | − | 2.52412i | ||||
\(541\) | 9.94619 | + | 17.2273i | 0.427620 | + | 0.740660i | 0.996661 | − | 0.0816494i | \(-0.0260188\pi\) |
−0.569041 | + | 0.822309i | \(0.692685\pi\) | |||||||
\(542\) | 49.8023 | + | 13.3445i | 2.13919 | + | 0.573194i | ||||
\(543\) | −1.99554 | − | 9.61780i | −0.0856369 | − | 0.412739i | ||||
\(544\) | −2.58966 | + | 4.48543i | −0.111031 | + | 0.192311i | ||||
\(545\) | −0.415408 | − | 1.34217i | −0.0177941 | − | 0.0574920i | ||||
\(546\) | 51.5125 | − | 12.7852i | 2.20453 | − | 0.547154i | ||||
\(547\) | 13.4677 | − | 3.60865i | 0.575836 | − | 0.154295i | 0.0408640 | − | 0.999165i | \(-0.486989\pi\) |
0.534972 | + | 0.844870i | \(0.320322\pi\) | |||||||
\(548\) | 0.0384778 | + | 0.0103101i | 0.00164369 | + | 0.000440425i | ||||
\(549\) | 16.3310 | + | 37.6605i | 0.696988 | + | 1.60731i | ||||
\(550\) | −27.3883 | − | 5.12796i | −1.16784 | − | 0.218657i | ||||
\(551\) | − | 0.602202i | − | 0.0256547i | ||||||
\(552\) | 80.1605 | + | 26.4770i | 3.41186 | + | 1.12693i | ||||
\(553\) | −6.36582 | + | 12.0827i | −0.270702 | + | 0.513807i | ||||
\(554\) | 38.3805 | − | 22.1590i | 1.63063 | − | 0.941445i | ||||
\(555\) | −23.4535 | + | 22.5850i | −0.995546 | + | 0.958680i | ||||
\(556\) | 22.5859 | − | 13.0400i | 0.957855 | − | 0.553018i | ||||
\(557\) | −27.7228 | + | 7.42830i | −1.17465 | + | 0.314747i | −0.792803 | − | 0.609478i | \(-0.791379\pi\) |
−0.381849 | + | 0.924225i | \(0.624712\pi\) | |||||||
\(558\) | 5.90221 | − | 14.9403i | 0.249860 | − | 0.632472i | ||||
\(559\) | 25.7434 | 1.08883 | ||||||||
\(560\) | 23.1190 | + | 65.5956i | 0.976954 | + | 2.77192i | ||||
\(561\) | −0.694374 | + | 1.05795i | −0.0293165 | + | 0.0446669i | ||||
\(562\) | −28.7721 | + | 7.70946i | −1.21368 | + | 0.325204i | ||||
\(563\) | −2.26601 | − | 2.26601i | −0.0955011 | − | 0.0955011i | 0.657742 | − | 0.753243i | \(-0.271512\pi\) |
−0.753243 | + | 0.657742i | \(0.771512\pi\) | |||||||
\(564\) | −41.6917 | − | 27.3638i | −1.75554 | − | 1.15222i | ||||
\(565\) | −9.09410 | − | 14.4425i | −0.382592 | − | 0.607602i | ||||
\(566\) | − | 33.2168i | − | 1.39621i | ||||||
\(567\) | −22.5004 | + | 7.79314i | −0.944927 | + | 0.327281i | ||||
\(568\) | −50.9996 | + | 50.9996i | −2.13990 | + | 2.13990i | ||||
\(569\) | − | 9.06221i | − | 0.379908i | −0.981793 | − | 0.189954i | \(-0.939166\pi\) | ||
0.981793 | − | 0.189954i | \(-0.0608338\pi\) | |||||||
\(570\) | −1.30222 | + | 1.25400i | −0.0545442 | + | 0.0525243i | ||||
\(571\) | −34.1667 | −1.42983 | −0.714916 | − | 0.699211i | \(-0.753535\pi\) | ||||
−0.714916 | + | 0.699211i | \(0.753535\pi\) | |||||||
\(572\) | 11.9953 | + | 44.7671i | 0.501549 | + | 1.87181i | ||||
\(573\) | −14.2121 | + | 2.94878i | −0.593718 | + | 0.123187i | ||||
\(574\) | −39.9476 | − | 36.9696i | −1.66738 | − | 1.54308i | ||||
\(575\) | −27.9006 | + | 9.82271i | −1.16353 | + | 0.409635i | ||||
\(576\) | −19.0883 | − | 44.0192i | −0.795346 | − | 1.83413i | ||||
\(577\) | −0.134829 | − | 0.503189i | −0.00561301 | − | 0.0209480i | 0.963063 | − | 0.269278i | \(-0.0867850\pi\) |
−0.968676 | + | 0.248330i | \(0.920118\pi\) | |||||||
\(578\) | 43.4205 | + | 11.6345i | 1.80606 | + | 0.483931i | ||||
\(579\) | 15.9695 | − | 24.3313i | 0.663670 | − | 1.01117i | ||||
\(580\) | −37.3840 | + | 11.5706i | −1.55229 | + | 0.480441i | ||||
\(581\) | 23.3252 | + | 5.29197i | 0.967691 | + | 0.219548i | ||||
\(582\) | −7.77662 | + | 23.5442i | −0.322351 | + | 0.975937i | ||||
\(583\) | 15.7521 | − | 15.7521i | 0.652387 | − | 0.652387i | ||||
\(584\) | 25.0795 | − | 43.4390i | 1.03780 | − | 1.79752i | ||||
\(585\) | 16.4639 | − | 24.0817i | 0.680697 | − | 0.995656i | ||||
\(586\) | −5.76333 | + | 3.32746i | −0.238081 | + | 0.137456i | ||||
\(587\) | −1.65559 | − | 6.17874i | −0.0683335 | − | 0.255024i | 0.923306 | − | 0.384066i | \(-0.125476\pi\) |
−0.991639 | + | 0.129042i | \(0.958810\pi\) | |||||||
\(588\) | 42.7771 | − | 44.5392i | 1.76410 | − | 1.83677i | ||||
\(589\) | −0.305154 | + | 0.176181i | −0.0125736 | + | 0.00725939i | ||||
\(590\) | −1.02198 | − | 26.6321i | −0.0420744 | − | 1.09643i | ||||
\(591\) | −35.9061 | − | 23.5665i | −1.47698 | − | 0.969396i | ||||
\(592\) | −25.5800 | + | 95.4659i | −1.05133 | + | 3.92362i | ||||
\(593\) | 7.52786 | − | 28.0943i | 0.309132 | − | 1.15370i | −0.620198 | − | 0.784445i | \(-0.712948\pi\) |
0.929330 | − | 0.369251i | \(-0.120386\pi\) | |||||||
\(594\) | −9.98231 | − | 27.1824i | −0.409579 | − | 1.11531i | ||||
\(595\) | −1.70417 | + | 1.16752i | −0.0698643 | + | 0.0478636i | ||||
\(596\) | 3.34181 | − | 5.78818i | 0.136886 | − | 0.237093i | ||||
\(597\) | −5.58916 | + | 16.9215i | −0.228749 | + | 0.692552i | ||||
\(598\) | 48.4490 | + | 48.4490i | 1.98123 | + | 1.98123i | ||||
\(599\) | − | 42.2948i | − | 1.72812i | −0.503388 | − | 0.864060i | \(-0.667913\pi\) | ||
0.503388 | − | 0.864060i | \(-0.332087\pi\) | |||||||
\(600\) | 62.4753 | + | 34.4643i | 2.55054 | + | 1.40700i | ||||
\(601\) | −11.9452 | − | 6.89657i | −0.487255 | − | 0.281317i | 0.236180 | − | 0.971709i | \(-0.424105\pi\) |
−0.723435 | + | 0.690392i | \(0.757438\pi\) | |||||||
\(602\) | 35.2920 | − | 22.2394i | 1.43839 | − | 0.906409i | ||||
\(603\) | −22.1598 | − | 8.75433i | −0.902418 | − | 0.356504i | ||||
\(604\) | 71.8117 | − | 41.4605i | 2.92198 | − | 1.68700i | ||||
\(605\) | 14.1447 | − | 4.37788i | 0.575065 | − | 0.177986i | ||||
\(606\) | −5.94099 | − | 0.340303i | −0.241336 | − | 0.0138239i | ||||
\(607\) | 6.83908 | + | 25.5238i | 0.277590 | + | 1.03598i | 0.954086 | + | 0.299532i | \(0.0968307\pi\) |
−0.676497 | + | 0.736446i | \(0.736503\pi\) | |||||||
\(608\) | −0.672844 | + | 2.51109i | −0.0272874 | + | 0.101838i | ||||
\(609\) | 10.9259 | + | 11.3382i | 0.442738 | + | 0.459448i | ||||
\(610\) | −81.4281 | + | 3.12473i | −3.29693 | + | 0.126517i | ||||
\(611\) | −12.2911 | − | 21.2888i | −0.497244 | − | 0.861252i | ||||
\(612\) | 4.17889 | − | 3.31729i | 0.168922 | − | 0.134094i | ||||
\(613\) | 5.44734 | + | 20.3297i | 0.220016 | + | 0.821110i | 0.984340 | + | 0.176278i | \(0.0564059\pi\) |
−0.764325 | + | 0.644832i | \(0.776927\pi\) | |||||||
\(614\) | −30.4128 | −1.22736 | ||||||||
\(615\) | −29.9106 | − | 0.564260i | −1.20611 | − | 0.0227532i | ||||
\(616\) | 33.4753 | + | 30.9797i | 1.34876 | + | 1.24821i | ||||
\(617\) | −1.17970 | + | 4.40269i | −0.0474928 | + | 0.177245i | −0.985598 | − | 0.169105i | \(-0.945912\pi\) |
0.938105 | + | 0.346350i | \(0.112579\pi\) | |||||||
\(618\) | −30.2844 | − | 10.0029i | −1.21822 | − | 0.402377i | ||||
\(619\) | −15.8005 | − | 27.3672i | −0.635075 | − | 1.09998i | −0.986499 | − | 0.163765i | \(-0.947636\pi\) |
0.351425 | − | 0.936216i | \(-0.385697\pi\) | |||||||
\(620\) | 16.8002 | + | 15.5585i | 0.674713 | + | 0.624844i | ||||
\(621\) | −23.6047 | − | 19.6911i | −0.947223 | − | 0.790178i | ||||
\(622\) | 30.9402 | − | 30.9402i | 1.24059 | − | 1.24059i | ||||
\(623\) | 1.18411 | + | 30.5834i | 0.0474402 | + | 1.22530i | ||||
\(624\) | 5.06381 | − | 88.4038i | 0.202715 | − | 3.53899i | ||||
\(625\) | −24.7064 | + | 3.82050i | −0.988254 | + | 0.152820i | ||||
\(626\) | 73.5229i | 2.93856i | ||||||||
\(627\) | −0.199214 | + | 0.603132i | −0.00795584 | + | 0.0240868i | ||||
\(628\) | −70.1163 | − | 70.1163i | −2.79794 | − | 2.79794i | ||||
\(629\) | −2.93549 | −0.117046 | ||||||||
\(630\) | 1.76666 | − | 47.2367i | 0.0703853 | − | 1.88196i | ||||
\(631\) | 18.8298 | 0.749601 | 0.374801 | − | 0.927105i | \(-0.377711\pi\) | ||||
0.374801 | + | 0.927105i | \(0.377711\pi\) | |||||||
\(632\) | 30.0719 | + | 30.0719i | 1.19620 | + | 1.19620i | ||||
\(633\) | −13.4117 | − | 15.0415i | −0.533067 | − | 0.597846i | ||||
\(634\) | − | 33.2677i | − | 1.32123i | ||||||
\(635\) | −0.732469 | − | 19.0876i | −0.0290671 | − | 0.757467i | ||||
\(636\) | −83.8931 | + | 42.2336i | −3.32658 | + | 1.67467i | ||||
\(637\) | 28.7062 | − | 10.1285i | 1.13738 | − | 0.401304i | ||||
\(638\) | −13.5399 | + | 13.5399i | −0.536052 | + | 0.536052i | ||||
\(639\) | 24.0945 | − | 10.4483i | 0.953165 | − | 0.413327i | ||||
\(640\) | 28.8899 | − | 1.10862i | 1.14197 | − | 0.0438222i | ||||
\(641\) | −3.20789 | − | 5.55623i | −0.126704 | − | 0.219458i | 0.795694 | − | 0.605699i | \(-0.207107\pi\) |
−0.922398 | + | 0.386241i | \(0.873773\pi\) | |||||||
\(642\) | −55.8844 | + | 49.8290i | −2.20558 | + | 1.96660i | ||||
\(643\) | 9.56055 | − | 35.6805i | 0.377031 | − | 1.40710i | −0.473323 | − | 0.880889i | \(-0.656946\pi\) |
0.850354 | − | 0.526211i | \(-0.176388\pi\) | |||||||
\(644\) | 77.7457 | + | 17.6388i | 3.06361 | + | 0.695066i | ||||
\(645\) | 6.35073 | − | 22.0304i | 0.250060 | − | 0.867447i | ||||
\(646\) | −0.162989 | −0.00641272 | ||||||||
\(647\) | 2.18921 | + | 8.17026i | 0.0860669 | + | 0.321206i | 0.995514 | − | 0.0946134i | \(-0.0301615\pi\) |
−0.909447 | + | 0.415819i | \(0.863495\pi\) | |||||||
\(648\) | 2.44113 | + | 74.1098i | 0.0958967 | + | 2.91131i | ||||
\(649\) | −4.68200 | − | 8.10946i | −0.183784 | − | 0.318324i | ||||
\(650\) | 32.7132 | + | 47.7851i | 1.28312 | + | 1.87428i | ||||
\(651\) | 2.54894 | − | 8.85357i | 0.0999010 | − | 0.346999i | ||||
\(652\) | −8.16469 | + | 30.4710i | −0.319754 | + | 1.19334i | ||||
\(653\) | 6.24761 | + | 23.3164i | 0.244488 | + | 0.912441i | 0.973640 | + | 0.228090i | \(0.0732480\pi\) |
−0.729152 | + | 0.684352i | \(0.760085\pi\) | |||||||
\(654\) | 1.30333 | + | 2.58895i | 0.0509643 | + | 0.101236i | ||||
\(655\) | −5.43937 | − | 17.5744i | −0.212534 | − | 0.686688i | ||||
\(656\) | −78.6419 | + | 45.4039i | −3.07045 | + | 1.77272i | ||||
\(657\) | −14.3050 | + | 11.3556i | −0.558091 | + | 0.443024i | ||||
\(658\) | −35.2410 | − | 18.5669i | −1.37384 | − | 0.723815i | ||||
\(659\) | 10.8461 | + | 6.26202i | 0.422505 | + | 0.243934i | 0.696149 | − | 0.717898i | \(-0.254895\pi\) |
−0.273643 | + | 0.961831i | \(0.588229\pi\) | |||||||
\(660\) | 41.2694 | + | 0.778543i | 1.60641 | + | 0.0303047i | ||||
\(661\) | 31.1485i | 1.21154i | 0.795642 | + | 0.605768i | \(0.207134\pi\) | ||||
−0.795642 | + | 0.605768i | \(0.792866\pi\) | |||||||
\(662\) | −21.2829 | − | 21.2829i | −0.827183 | − | 0.827183i | ||||
\(663\) | 2.57517 | − | 0.534308i | 0.100011 | − | 0.0207508i | ||||
\(664\) | 37.2403 | − | 64.5022i | 1.44521 | − | 2.50317i | ||||
\(665\) | −0.674560 | + | 0.787435i | −0.0261583 | + | 0.0305354i | ||||
\(666\) | 40.0088 | − | 53.9570i | 1.55031 | − | 2.09079i | ||||
\(667\) | −5.26098 | + | 19.6343i | −0.203706 | + | 0.760241i | ||||
\(668\) | 4.00335 | − | 14.9407i | 0.154894 | − | 0.578073i | ||||
\(669\) | 13.5905 | − | 6.84172i | 0.525437 | − | 0.264516i | ||||
\(670\) | 32.1382 | − | 34.7032i | 1.24161 | − | 1.34070i | ||||
\(671\) | −24.7948 | + | 14.3153i | −0.957192 | + | 0.552635i | ||||
\(672\) | −32.8908 | − | 59.4861i | −1.26879 | − | 2.29473i | ||||
\(673\) | 8.58763 | + | 32.0495i | 0.331029 | + | 1.23542i | 0.908111 | + | 0.418730i | \(0.137525\pi\) |
−0.577082 | + | 0.816686i | \(0.695809\pi\) | |||||||
\(674\) | −8.01223 | + | 4.62586i | −0.308620 | + | 0.178182i | ||||
\(675\) | −16.5468 | − | 20.0300i | −0.636888 | − | 0.770956i | ||||
\(676\) | 15.0532 | − | 26.0729i | 0.578970 | − | 1.00280i | ||||
\(677\) | −6.61583 | + | 6.61583i | −0.254267 | + | 0.254267i | −0.822718 | − | 0.568450i | \(-0.807543\pi\) |
0.568450 | + | 0.822718i | \(0.307543\pi\) | |||||||
\(678\) | 23.4327 | + | 26.2803i | 0.899927 | + | 1.00929i | ||||
\(679\) | −3.14646 | + | 13.8685i | −0.120750 | + | 0.532224i | ||||
\(680\) | 1.90196 | + | 6.14515i | 0.0729368 | + | 0.235656i | ||||
\(681\) | −34.7926 | − | 1.99294i | −1.33325 | − | 0.0763695i | ||||
\(682\) | 10.8223 | + | 2.89984i | 0.414409 | + | 0.111041i | ||||
\(683\) | 2.31157 | + | 8.62689i | 0.0884497 | + | 0.330099i | 0.995945 | − | 0.0899633i | \(-0.0286750\pi\) |
−0.907495 | + | 0.420062i | \(0.862008\pi\) | |||||||
\(684\) | 1.59510 | − | 2.15119i | 0.0609901 | − | 0.0822530i | ||||
\(685\) | 0.0147986 | − | 0.00931833i | 0.000565427 | − | 0.000356035i | ||||
\(686\) | 30.6038 | − | 38.6840i | 1.16846 | − | 1.47696i | ||||
\(687\) | 10.6769 | − | 32.3248i | 0.407347 | − | 1.23327i | ||||
\(688\) | −18.0125 | − | 67.2236i | −0.686720 | − | 2.56287i | ||||
\(689\) | −46.2979 | −1.76381 | ||||||||
\(690\) | 53.4131 | − | 29.5090i | 2.03340 | − | 1.12339i | ||||
\(691\) | − | 12.4744i | − | 0.474550i | −0.971443 | − | 0.237275i | \(-0.923746\pi\) | ||
0.971443 | − | 0.237275i | \(-0.0762542\pi\) | |||||||
\(692\) | −47.8124 | + | 47.8124i | −1.81755 | + | 1.81755i | ||||
\(693\) | −7.19193 | − | 14.9701i | −0.273199 | − | 0.568668i | ||||
\(694\) | 79.0426i | 3.00042i | ||||||||
\(695\) | 2.53706 | − | 11.1647i | 0.0962360 | − | 0.423502i | ||||
\(696\) | 43.7959 | − | 22.0478i | 1.66008 | − | 0.835719i | ||||
\(697\) | −1.90715 | − | 1.90715i | −0.0722385 | − | 0.0722385i | ||||
\(698\) | −50.2451 | + | 13.4631i | −1.90180 | + | 0.509587i | ||||
\(699\) | 5.43773 | + | 0.311476i | 0.205674 | + | 0.0117811i | ||||
\(700\) | 61.8439 | + | 26.7463i | 2.33748 | + | 1.01092i | ||||
\(701\) | −15.6309 | −0.590370 | −0.295185 | − | 0.955440i | \(-0.595381\pi\) | ||||
−0.295185 | + | 0.955440i | \(0.595381\pi\) | |||||||
\(702\) | −25.2768 | + | 54.6163i | −0.954012 | + | 2.06136i | ||||
\(703\) | −1.42321 | + | 0.381348i | −0.0536774 | + | 0.0143828i | ||||
\(704\) | 28.9812 | − | 16.7323i | 1.09227 | − | 0.630622i | ||||
\(705\) | −21.2504 | + | 5.26652i | −0.800336 | + | 0.198348i | ||||
\(706\) | 22.4599 | − | 12.9672i | 0.845288 | − | 0.488027i | ||||
\(707\) | −3.41040 | + | 0.132042i | −0.128261 | + | 0.00496594i | ||||
\(708\) | 8.02076 | + | 38.6572i | 0.301439 | + | 1.45283i | ||||
\(709\) | 44.0556i | 1.65454i | 0.561803 | + | 0.827271i | \(0.310108\pi\) | ||||
−0.561803 | + | 0.827271i | \(0.689892\pi\) | |||||||
\(710\) | 1.99915 | + | 52.0963i | 0.0750267 | + | 1.95514i | ||||
\(711\) | −6.16082 | − | 14.2073i | −0.231049 | − | 0.532817i | ||||
\(712\) | 92.0606 | + | 24.6676i | 3.45012 | + | 0.924456i | ||||
\(713\) | 11.4884 | − | 3.07831i | 0.430245 | − | 0.115284i | ||||
\(714\) | 3.06875 | − | 2.95714i | 0.114845 | − | 0.110668i | ||||
\(715\) | 17.9977 | + | 9.49008i | 0.673076 | + | 0.354909i | ||||
\(716\) | 4.20682 | − | 7.28642i | 0.157216 | − | 0.272306i | ||||
\(717\) | 22.2075 | − | 19.8012i | 0.829355 | − | 0.739491i | ||||
\(718\) | −20.7454 | − | 5.55872i | −0.774212 | − | 0.207450i | ||||
\(719\) | −3.47663 | − | 6.02170i | −0.129656 | − | 0.224572i | 0.793887 | − | 0.608065i | \(-0.208054\pi\) |
−0.923543 | + | 0.383494i | \(0.874721\pi\) | |||||||
\(720\) | −74.4039 | − | 26.1421i | −2.77287 | − | 0.974258i | ||||
\(721\) | −17.8388 | − | 4.04723i | −0.664351 | − | 0.150727i | ||||
\(722\) | 48.8003 | − | 13.0760i | 1.81616 | − | 0.486639i | ||||
\(723\) | 24.6672 | − | 21.9944i | 0.917382 | − | 0.817980i | ||||
\(724\) | −28.8854 | −1.07352 | ||||||||
\(725\) | −7.42456 | + | 15.4929i | −0.275741 | + | 0.575392i | ||||
\(726\) | −27.2843 | + | 13.7355i | −1.01261 | + | 0.509772i | ||||
\(727\) | 1.13330 | + | 4.22952i | 0.0420316 | + | 0.156864i | 0.983752 | − | 0.179532i | \(-0.0574584\pi\) |
−0.941720 | + | 0.336396i | \(0.890792\pi\) | |||||||
\(728\) | −3.66736 | − | 94.7213i | −0.135921 | − | 3.51061i | ||||
\(729\) | 9.08830 | − | 25.4245i | 0.336604 | − | 0.941646i | ||||
\(730\) | −10.7201 | − | 34.6361i | −0.396768 | − | 1.28194i | ||||
\(731\) | 1.79013 | − | 1.03353i | 0.0662104 | − | 0.0382266i | ||||
\(732\) | 118.195 | − | 24.5236i | 4.36861 | − | 0.906418i | ||||
\(733\) | 5.80257 | − | 1.55479i | 0.214323 | − | 0.0574276i | −0.150060 | − | 0.988677i | \(-0.547947\pi\) |
0.364383 | + | 0.931249i | \(0.381280\pi\) | |||||||
\(734\) | −5.47612 | − | 9.48492i | −0.202127 | − | 0.350095i | ||||
\(735\) | −1.58598 | − | 27.0645i | −0.0584999 | − | 0.998287i | ||||
\(736\) | 43.8749 | − | 75.9936i | 1.61725 | − | 2.80116i | ||||
\(737\) | 4.30112 | − | 16.0520i | 0.158434 | − | 0.591284i | ||||
\(738\) | 61.0483 | − | 9.06198i | 2.24722 | − | 0.333576i | ||||
\(739\) | −15.5963 | − | 9.00451i | −0.573718 | − | 0.331236i | 0.184915 | − | 0.982755i | \(-0.440799\pi\) |
−0.758633 | + | 0.651518i | \(0.774132\pi\) | |||||||
\(740\) | 51.0189 | + | 81.0242i | 1.87549 | + | 2.97851i | ||||
\(741\) | 1.17911 | − | 0.593587i | 0.0433156 | − | 0.0218060i | ||||
\(742\) | −63.4702 | + | 39.9960i | −2.33007 | + | 1.46830i | ||||
\(743\) | 47.2483 | + | 12.6602i | 1.73337 | + | 0.464456i | 0.980956 | − | 0.194231i | \(-0.0622210\pi\) |
0.752417 | + | 0.658687i | \(0.228888\pi\) | |||||||
\(744\) | −23.9852 | − | 15.7424i | −0.879341 | − | 0.577143i | ||||
\(745\) | −0.867541 | − | 2.80299i | −0.0317843 | − | 0.102694i | ||||
\(746\) | −8.49521 | + | 14.7141i | −0.311032 | + | 0.538723i | ||||
\(747\) | −21.2413 | + | 16.8618i | −0.777180 | + | 0.616942i | ||||
\(748\) | 2.63140 | + | 2.63140i | 0.0962137 | + | 0.0962137i | ||||
\(749\) | −29.1674 | + | 31.5169i | −1.06575 | + | 1.15160i | ||||
\(750\) | 48.9631 | − | 16.2067i | 1.78788 | − | 0.591784i | ||||
\(751\) | 13.5186 | − | 23.4148i | 0.493299 | − | 0.854419i | −0.506671 | − | 0.862139i | \(-0.669124\pi\) |
0.999970 | + | 0.00772022i | \(0.00245745\pi\) | |||||||
\(752\) | −46.9912 | + | 46.9912i | −1.71359 | + | 1.71359i | ||||
\(753\) | 4.47526 | + | 21.5692i | 0.163088 | + | 0.786024i | ||||
\(754\) | 39.7959 | 1.44928 | ||||||||
\(755\) | 8.06655 | − | 35.4982i | 0.293572 | − | 1.29191i | ||||
\(756\) | 8.99708 | + | 69.4427i | 0.327221 | + | 2.52561i | ||||
\(757\) | −23.8708 | − | 23.8708i | −0.867599 | − | 0.867599i | 0.124607 | − | 0.992206i | \(-0.460233\pi\) |
−0.992206 | + | 0.124607i | \(0.960233\pi\) | |||||||
\(758\) | 3.08689 | − | 3.08689i | 0.112121 | − | 0.112121i | ||||
\(759\) | 11.7643 | − | 17.9242i | 0.427017 | − | 0.650607i | ||||
\(760\) | 1.72044 | + | 2.73226i | 0.0624068 | + | 0.0991095i | ||||
\(761\) | −27.3978 | − | 15.8181i | −0.993171 | − | 0.573407i | −0.0869502 | − | 0.996213i | \(-0.527712\pi\) |
−0.906221 | + | 0.422805i | \(0.861045\pi\) | |||||||
\(762\) | 8.00583 | + | 38.5852i | 0.290021 | + | 1.39780i | ||||
\(763\) | 0.886274 | + | 1.40644i | 0.0320853 | + | 0.0509166i | ||||
\(764\) | 42.6835i | 1.54423i | ||||||||
\(765\) | 0.178035 | − | 2.33556i | 0.00643685 | − | 0.0844424i | ||||
\(766\) | −53.1903 | − | 30.7094i | −1.92184 | − | 1.10958i | ||||
\(767\) | −5.03690 | + | 18.7980i | −0.181872 | + | 0.678755i | ||||
\(768\) | −4.15371 | + | 0.861829i | −0.149884 | + | 0.0310986i | ||||
\(769\) | 10.4173 | + | 18.0434i | 0.375659 | + | 0.650660i | 0.990425 | − | 0.138049i | \(-0.0440832\pi\) |
−0.614767 | + | 0.788709i | \(0.710750\pi\) | |||||||
\(770\) | 32.8716 | − | 2.53789i | 1.18461 | − | 0.0914592i | ||||
\(771\) | −7.15049 | − | 14.2038i | −0.257519 | − | 0.511537i | ||||
\(772\) | −60.5182 | − | 60.5182i | −2.17810 | − | 2.17810i | ||||
\(773\) | −11.3310 | + | 3.03612i | −0.407546 | + | 0.109202i | −0.456767 | − | 0.889586i | \(-0.650993\pi\) |
0.0492210 | + | 0.998788i | \(0.484326\pi\) | |||||||
\(774\) | −5.40101 | + | 46.9906i | −0.194135 | + | 1.68904i | ||||
\(775\) | 10.0229 | − | 0.770371i | 0.360031 | − | 0.0276725i | ||||
\(776\) | 38.3512 | + | 22.1421i | 1.37673 | + | 0.794854i | ||||
\(777\) | 19.8773 | − | 33.0016i | 0.713094 | − | 1.18392i | ||||
\(778\) | −86.7916 | − | 23.2557i | −3.11163 | − | 0.833759i | ||||
\(779\) | −1.17240 | − | 0.676884i | −0.0420055 | − | 0.0242519i | ||||
\(780\) | −59.5043 | − | 61.7925i | −2.13059 | − | 2.21253i | ||||
\(781\) | 9.15866 | + | 15.8633i | 0.327723 | + | 0.567632i | ||||
\(782\) | 5.31412 | + | 1.42391i | 0.190032 | + | 0.0509190i | ||||
\(783\) | −17.7815 | + | 1.60728i | −0.635461 | + | 0.0574396i | ||||
\(784\) | −46.5338 | − | 67.8733i | −1.66192 | − | 2.42405i | ||||
\(785\) | −43.5000 | + | 1.66927i | −1.55258 | + | 0.0595789i | ||||
\(786\) | 17.0659 | + | 33.8999i | 0.608721 | + | 1.20917i | ||||
\(787\) | −34.8759 | + | 34.8759i | −1.24319 | + | 1.24319i | −0.284520 | + | 0.958670i | \(0.591834\pi\) |
−0.958670 | + | 0.284520i | \(0.908166\pi\) | |||||||
\(788\) | −89.3078 | + | 89.3078i | −3.18146 | + | 3.18146i | ||||
\(789\) | −15.2050 | − | 0.870949i | −0.541312 | − | 0.0310066i | ||||
\(790\) | 30.7186 | − | 1.17880i | 1.09292 | − | 0.0419397i | ||||
\(791\) | 14.8212 | + | 13.7163i | 0.526981 | + | 0.487696i | ||||
\(792\) | −51.1572 | + | 7.59374i | −1.81779 | + | 0.269832i | ||||
\(793\) | 57.4751 | + | 15.4004i | 2.04100 | + | 0.546884i | ||||
\(794\) | −6.17769 | − | 10.7001i | −0.219238 | − | 0.379731i | ||||
\(795\) | −11.4214 | + | 39.6202i | −0.405074 | + | 1.40518i | ||||
\(796\) | 45.3842 | + | 26.2026i | 1.60860 | + | 0.928726i | ||||
\(797\) | 49.1987 | + | 13.1827i | 1.74271 | + | 0.466957i | 0.983045 | − | 0.183363i | \(-0.0586983\pi\) |
0.759661 | + | 0.650320i | \(0.225365\pi\) | |||||||
\(798\) | 1.10366 | − | 1.83237i | 0.0390691 | − | 0.0648651i | ||||
\(799\) | −1.70938 | − | 0.986911i | −0.0604735 | − | 0.0349144i | ||||
\(800\) | 48.2695 | − | 56.3075i | 1.70659 | − | 1.99077i | ||||
\(801\) | −27.8768 | − | 20.6705i | −0.984979 | − | 0.730355i | ||||
\(802\) | 19.2372 | − | 5.15460i | 0.679290 | − | 0.182015i | ||||
\(803\) | −9.00771 | − | 9.00771i | −0.317875 | − | 0.317875i | ||||
\(804\) | −38.4457 | + | 58.5763i | −1.35588 | + | 2.06583i | ||||
\(805\) | 28.8727 | − | 19.7805i | 1.01763 | − | 0.697171i | ||||
\(806\) | −11.6427 | − | 20.1658i | −0.410097 | − | 0.710309i | ||||
\(807\) | −5.22747 | + | 15.8265i | −0.184016 | + | 0.557118i | ||||
\(808\) | −2.75072 | + | 10.2658i | −0.0967700 | + | 0.361151i | ||||
\(809\) | −4.79775 | − | 2.76998i | −0.168680 | − | 0.0973874i | 0.413283 | − | 0.910603i | \(-0.364382\pi\) |
−0.581963 | + | 0.813215i | \(0.697715\pi\) | |||||||
\(810\) | 40.5032 | + | 35.1045i | 1.42314 | + | 1.23345i | ||||
\(811\) | 31.8893i | 1.11979i | 0.828565 | + | 0.559893i | \(0.189158\pi\) | ||||
−0.828565 | + | 0.559893i | \(0.810842\pi\) | |||||||
\(812\) | 39.1743 | − | 24.6858i | 1.37475 | − | 0.866303i | ||||
\(813\) | −25.0266 | + | 22.3148i | −0.877721 | + | 0.782616i | ||||
\(814\) | 40.5738 | + | 23.4253i | 1.42211 | + | 0.821057i | ||||
\(815\) | 7.37930 | + | 11.7192i | 0.258486 | + | 0.410506i | ||||
\(816\) | −3.19706 | − | 6.35067i | −0.111920 | − | 0.222318i | ||||
\(817\) | 0.733641 | − | 0.733641i | 0.0256669 | − | 0.0256669i | ||||
\(818\) | −17.5776 | − | 17.5776i | −0.614588 | − | 0.614588i | ||||
\(819\) | −11.4306 | + | 32.5688i | −0.399418 | + | 1.13804i | ||||
\(820\) | −19.4940 | + | 85.7866i | −0.680760 | + | 2.99580i | ||||
\(821\) | 32.0340 | 1.11799 | 0.558997 | − | 0.829170i | \(-0.311186\pi\) | ||||
0.558997 | + | 0.829170i | \(0.311186\pi\) | |||||||
\(822\) | −0.0269283 | + | 0.0240105i | −0.000939231 | + | 0.000837461i | ||||
\(823\) | 21.2657 | − | 21.2657i | 0.741277 | − | 0.741277i | −0.231547 | − | 0.972824i | \(-0.574379\pi\) |
0.972824 | + | 0.231547i | \(0.0743786\pi\) | |||||||
\(824\) | −28.4809 | + | 49.3304i | −0.992181 | + | 1.71851i | ||||
\(825\) | 12.5612 | − | 13.0607i | 0.437326 | − | 0.454716i | ||||
\(826\) | 9.33413 | + | 30.1216i | 0.324776 | + | 1.04807i | ||||
\(827\) | 27.2156 | + | 27.2156i | 0.946378 | + | 0.946378i | 0.998634 | − | 0.0522557i | \(-0.0166411\pi\) |
−0.0522557 | + | 0.998634i | \(0.516641\pi\) | |||||||
\(828\) | −70.8001 | + | 56.2026i | −2.46047 | + | 1.95318i | ||||
\(829\) | −19.0453 | + | 32.9874i | −0.661470 | + | 1.14570i | 0.318760 | + | 0.947835i | \(0.396734\pi\) |
−0.980230 | + | 0.197863i | \(0.936600\pi\) | |||||||
\(830\) | −15.9181 | − | 51.4308i | −0.552527 | − | 1.78519i | ||||
\(831\) | −1.64819 | + | 28.7740i | −0.0571751 | + | 0.998161i | ||||
\(832\) | −67.1793 | − | 18.0006i | −2.32902 | − | 0.624059i | ||||
\(833\) | 1.58952 | − | 1.85679i | 0.0550737 | − | 0.0643338i | ||||
\(834\) | −1.35077 | + | 23.5816i | −0.0467732 | + | 0.816564i | ||||
\(835\) | −3.61826 | − | 5.74623i | −0.125215 | − | 0.198856i | ||||
\(836\) | 1.61762 | + | 0.933936i | 0.0559467 | + | 0.0323009i | ||||
\(837\) | 6.01664 | + | 8.54021i | 0.207965 | + | 0.295193i | ||||
\(838\) | −4.21951 | + | 15.7474i | −0.145761 | + | 0.543986i | ||||
\(839\) | 5.04594 | − | 8.73983i | 0.174205 | − | 0.301732i | −0.765681 | − | 0.643221i | \(-0.777598\pi\) |
0.939886 | + | 0.341488i | \(0.110931\pi\) | |||||||
\(840\) | −81.9642 | − | 20.2287i | −2.82803 | − | 0.697957i | ||||
\(841\) | −8.59691 | − | 14.8903i | −0.296445 | − | 0.513458i | ||||
\(842\) | 64.3463 | − | 17.2415i | 2.21752 | − | 0.594183i | ||||
\(843\) | 6.07551 | − | 18.3940i | 0.209252 | − | 0.633522i | ||||
\(844\) | −51.3225 | + | 29.6311i | −1.76659 | + | 1.01994i | ||||
\(845\) | −3.90785 | − | 12.6261i | −0.134434 | − | 0.434351i | ||||
\(846\) | 41.4380 | − | 17.9690i | 1.42467 | − | 0.617788i | ||||
\(847\) | −14.8221 | + | 9.34022i | −0.509294 | + | 0.320934i | ||||
\(848\) | 32.3943 | + | 120.897i | 1.11242 | + | 4.15162i | ||||
\(849\) | 18.0594 | + | 11.8531i | 0.619798 | + | 0.406796i | ||||
\(850\) | 4.19324 | + | 2.00950i | 0.143827 | + | 0.0689252i | ||||
\(851\) | 49.7341 | 1.70486 | ||||||||
\(852\) | −15.6898 | − | 75.6191i | −0.537523 | − | 2.59067i | ||||
\(853\) | 16.9777 | − | 4.54916i | 0.581305 | − | 0.155760i | 0.0438287 | − | 0.999039i | \(-0.486044\pi\) |
0.537476 | + | 0.843279i | \(0.319378\pi\) | |||||||
\(854\) | 92.0974 | − | 28.5393i | 3.15151 | − | 0.976593i | ||||
\(855\) | −0.217095 | − | 1.15548i | −0.00742450 | − | 0.0395164i | ||||
\(856\) | 66.8615 | + | 115.808i | 2.28528 | + | 3.95822i | ||||
\(857\) | 0.346093 | + | 0.0927353i | 0.0118223 | + | 0.00316778i | 0.264725 | − | 0.964324i | \(-0.414719\pi\) |
−0.252903 | + | 0.967492i | \(0.581385\pi\) | |||||||
\(858\) | −39.8573 | − | 13.1649i | −1.36071 | − | 0.449441i | ||||
\(859\) | 19.4778 | − | 33.7366i | 0.664576 | − | 1.15108i | −0.314825 | − | 0.949150i | \(-0.601946\pi\) |
0.979400 | − | 0.201929i | \(-0.0647209\pi\) | |||||||
\(860\) | −59.6396 | − | 31.4476i | −2.03369 | − | 1.07235i | ||||
\(861\) | 34.3547 | − | 8.52667i | 1.17080 | − | 0.290588i | ||||
\(862\) | −71.7726 | + | 19.2314i | −2.44458 | + | 0.655024i | ||||
\(863\) | −4.00926 | − | 1.07428i | −0.136477 | − | 0.0365688i | 0.189934 | − | 0.981797i | \(-0.439173\pi\) |
−0.326411 | + | 0.945228i | \(0.605839\pi\) | |||||||
\(864\) | 75.9421 | + | 13.1653i | 2.58360 | + | 0.447893i | ||||
\(865\) | 1.13828 | + | 29.6627i | 0.0387026 | + | 1.00856i | ||||
\(866\) | − | 37.3672i | − | 1.26979i | ||||||
\(867\) | −21.8196 | + | 19.4554i | −0.741034 | + | 0.660739i | ||||
\(868\) | −23.9699 | − | 12.6287i | −0.813592 | − | 0.428646i | ||||
\(869\) | 9.35377 | − | 5.40040i | 0.317305 | − | 0.183196i | ||||
\(870\) | 9.81738 | − | 34.0560i | 0.332840 | − | 1.15461i | ||||
\(871\) | −29.9104 | + | 17.2688i | −1.01348 | + | 0.585131i | ||||
\(872\) | 5.00032 | − | 1.33983i | 0.169332 | − | 0.0453724i | ||||
\(873\) | −10.0256 | − | 12.6295i | −0.339314 | − | 0.427444i | ||||
\(874\) | 2.76142 | 0.0934063 | ||||||||
\(875\) | 27.0628 | − | 11.9418i | 0.914889 | − | 0.403705i | ||||
\(876\) | 24.1508 | + | 47.9734i | 0.815981 | + | 1.62087i | ||||
\(877\) | 27.7437 | − | 7.43390i | 0.936838 | − | 0.251025i | 0.242070 | − | 0.970259i | \(-0.422174\pi\) |
0.694768 | + | 0.719234i | \(0.255507\pi\) | |||||||
\(878\) | −34.1231 | − | 34.1231i | −1.15160 | − | 1.15160i | ||||
\(879\) | 0.247497 | − | 4.32080i | 0.00834788 | − | 0.145737i | ||||
\(880\) | 12.1885 | − | 53.6374i | 0.410873 | − | 1.80812i | ||||
\(881\) | − | 48.8518i | − | 1.64586i | −0.568144 | − | 0.822929i | \(-0.692338\pi\) | ||
0.568144 | − | 0.822929i | \(-0.307662\pi\) | |||||||
\(882\) | 12.4653 | + | 54.5236i | 0.419728 | + | 1.83590i | ||||
\(883\) | 7.70402 | − | 7.70402i | 0.259261 | − | 0.259261i | −0.565492 | − | 0.824753i | \(-0.691314\pi\) |
0.824753 | + | 0.565492i | \(0.191314\pi\) | |||||||
\(884\) | − | 7.73408i | − | 0.260125i | ||||||
\(885\) | 14.8441 | + | 8.94775i | 0.498980 | + | 0.300775i | ||||
\(886\) | −47.1414 | −1.58375 | ||||||||
\(887\) | 11.1513 | + | 41.6172i | 0.374424 | + | 1.39737i | 0.854185 | + | 0.519970i | \(0.174057\pi\) |
−0.479761 | + | 0.877399i | \(0.659277\pi\) | |||||||
\(888\) | −79.8406 | − | 89.5429i | −2.67927 | − | 3.00486i | ||||
\(889\) | 6.68989 | + | 21.5885i | 0.224372 | + | 0.724057i | ||||
\(890\) | 58.2983 | − | 36.7090i | 1.95416 | − | 1.23049i | ||||
\(891\) | 18.3407 | + | 4.27254i | 0.614437 | + | 0.143135i | ||||
\(892\) | −11.5806 | − | 43.2194i | −0.387747 | − | 1.44709i | ||||
\(893\) | −0.956966 | − | 0.256418i | −0.0320236 | − | 0.00858071i | ||||
\(894\) | 2.72189 | + | 5.40679i | 0.0910336 | + | 0.180830i | ||||
\(895\) | −1.09210 | − | 3.52853i | −0.0365049 | − | 0.117946i | ||||
\(896\) | −32.6752 | + | 10.1254i | −1.09160 | + | 0.338268i | ||||
\(897\) | −43.6294 | + | 9.05241i | −1.45674 | + | 0.302251i | ||||
\(898\) | 14.1633 | − | 14.1633i | 0.472636 | − | 0.472636i | ||||
\(899\) | 3.45402 | − | 5.98254i | 0.115198 | − | 0.199529i | ||||
\(900\) | −67.5593 | + | 35.6780i | −2.25198 | + | 1.18927i | ||||
\(901\) | −3.21943 | + | 1.85874i | −0.107255 | + | 0.0619236i | ||||
\(902\) | 11.1412 | + | 41.5794i | 0.370960 | + | 1.38444i | ||||
\(903\) | −0.502385 | + | 27.1235i | −0.0167183 | + | 0.902615i | ||||
\(904\) | 54.4599 | − | 31.4424i | 1.81131 | − | 1.04576i | ||||
\(905\) | −8.61637 | + | 9.30405i | −0.286418 | + | 0.309277i | ||||
\(906\) | −4.29475 | + | 74.9776i | −0.142684 | + | 2.49096i | ||||
\(907\) | −10.9794 | + | 40.9758i | −0.364566 | + | 1.36058i | 0.503442 | + | 0.864029i | \(0.332067\pi\) |
−0.868008 | + | 0.496550i | \(0.834600\pi\) | |||||||
\(908\) | −26.5243 | + | 98.9900i | −0.880240 | + | 3.28510i | ||||
\(909\) | 2.30500 | − | 3.10859i | 0.0764520 | − | 0.103105i | ||||
\(910\) | −52.0368 | − | 44.5776i | −1.72500 | − | 1.47773i | ||||
\(911\) | −1.41661 | + | 2.45365i | −0.0469345 | + | 0.0812929i | −0.888538 | − | 0.458803i | \(-0.848279\pi\) |
0.841604 | + | 0.540095i | \(0.181612\pi\) | |||||||
\(912\) | −2.37504 | − | 2.66366i | −0.0786454 | − | 0.0882025i | ||||
\(913\) | −13.3755 | − | 13.3755i | −0.442663 | − | 0.442663i | ||||
\(914\) | − | 98.0730i | − | 3.24397i | ||||||
\(915\) | 27.3579 | − | 45.3862i | 0.904424 | − | 1.50042i | ||||
\(916\) | −86.6964 | − | 50.0542i | −2.86453 | − | 1.65384i | ||||
\(917\) | 11.6049 | + | 18.4160i | 0.383228 | + | 0.608151i | ||||
\(918\) | 0.435019 | + | 4.81267i | 0.0143578 | + | 0.158842i | ||||
\(919\) | −33.7043 | + | 19.4592i | −1.11180 | + | 0.641900i | −0.939296 | − | 0.343108i | \(-0.888520\pi\) |
−0.172507 | + | 0.985008i | \(0.555187\pi\) | |||||||
\(920\) | −32.2236 | − | 104.113i | −1.06238 | − | 3.43251i | ||||
\(921\) | 10.8525 | − | 16.5349i | 0.357601 | − | 0.544844i | ||||
\(922\) | −16.8847 | − | 63.0147i | −0.556069 | − | 2.07528i | ||||
\(923\) | 9.85291 | − | 36.7716i | 0.324312 | − | 1.21035i | ||||
\(924\) | −47.4011 | + | 11.7647i | −1.55938 | + | 0.387031i | ||||
\(925\) | 41.3168 | + | 7.73581i | 1.35849 | + | 0.254352i | ||||
\(926\) | −5.32255 | − | 9.21893i | −0.174910 | − | 0.302953i | ||||
\(927\) | 16.2451 | − | 12.8957i | 0.533559 | − | 0.423551i | ||||
\(928\) | −13.1911 | − | 49.2299i | −0.433019 | − | 1.61605i | ||||
\(929\) | −33.5415 | −1.10046 | −0.550231 | − | 0.835012i | \(-0.685460\pi\) | ||||
−0.550231 | + | 0.835012i | \(0.685460\pi\) | |||||||
\(930\) | −20.1294 | + | 4.98870i | −0.660069 | + | 0.163586i | ||||
\(931\) | 0.529432 | − | 1.10672i | 0.0173514 | − | 0.0362712i | ||||
\(932\) | 4.14548 | − | 15.4711i | 0.135790 | − | 0.506774i | ||||
\(933\) | 5.78099 | + | 27.8623i | 0.189261 | + | 0.912172i | ||||
\(934\) | 31.7791 | + | 55.0430i | 1.03984 | + | 1.80106i | ||||
\(935\) | 1.63252 | − | 0.0626464i | 0.0533890 | − | 0.00204876i | ||||
\(936\) | 86.3387 | + | 64.0196i | 2.82207 | + | 2.09255i | ||||
\(937\) | 38.8278 | − | 38.8278i | 1.26845 | − | 1.26845i | 0.321558 | − | 0.946890i | \(-0.395793\pi\) |
0.946890 | − | 0.321558i | \(-0.104207\pi\) | |||||||
\(938\) | −26.0863 | + | 49.5131i | −0.851747 | + | 1.61666i | ||||
\(939\) | −39.9732 | − | 26.2359i | −1.30448 | − | 0.856175i | ||||
\(940\) | 2.46876 | + | 64.3341i | 0.0805222 | + | 2.09835i | ||||
\(941\) | 31.8656i | 1.03879i | 0.854535 | + | 0.519395i | \(0.173843\pi\) | ||||
−0.854535 | + | 0.519395i | \(0.826157\pi\) | |||||||
\(942\) | 87.9346 | − | 18.2450i | 2.86506 | − | 0.594455i | ||||
\(943\) | 32.3116 | + | 32.3116i | 1.05221 | + | 1.05221i | ||||
\(944\) | 52.6112 | 1.71235 | ||||||||
\(945\) | 25.0514 | + | 17.8164i | 0.814923 | + | 0.579569i | ||||
\(946\) | −32.9905 | −1.07261 | ||||||||
\(947\) | −13.6193 | − | 13.6193i | −0.442569 | − | 0.442569i | 0.450306 | − | 0.892874i | \(-0.351315\pi\) |
−0.892874 | + | 0.450306i | \(0.851315\pi\) | |||||||
\(948\) | −44.5888 | + | 9.25147i | −1.44818 | + | 0.300474i | ||||
\(949\) | 26.4750i | 0.859414i | ||||||||
\(950\) | 2.29406 | + | 0.429520i | 0.0744290 | + | 0.0139355i | ||||
\(951\) | 18.0871 | + | 11.8712i | 0.586515 | + | 0.384951i | ||||
\(952\) | −4.05784 | − | 6.43944i | −0.131515 | − | 0.208703i | ||||
\(953\) | 24.4780 | − | 24.4780i | 0.792922 | − | 0.792922i | −0.189047 | − | 0.981968i | \(-0.560540\pi\) |
0.981968 | + | 0.189047i | \(0.0605397\pi\) | |||||||
\(954\) | 9.71336 | − | 84.5094i | 0.314482 | − | 2.73609i | ||||
\(955\) | 13.7484 | + | 12.7323i | 0.444889 | + | 0.412007i | ||||
\(956\) | −43.7478 | − | 75.7734i | −1.41490 | − | 2.45069i | ||||
\(957\) | −2.52986 | − | 12.1930i | −0.0817788 | − | 0.394145i | ||||
\(958\) | −7.93940 | + | 29.6303i | −0.256510 | + | 0.957310i | ||||
\(959\) | −0.0140545 | + | 0.0151866i | −0.000453844 | + | 0.000490402i | ||||
\(960\) | −31.9770 | + | 53.0492i | −1.03205 | + | 1.71216i | ||||
\(961\) | 26.9580 | 0.869612 | ||||||||
\(962\) | −25.2010 | − | 94.0514i | −0.812513 | − | 3.03234i | ||||
\(963\) | −7.14950 | − | 48.1644i | −0.230389 | − | 1.55208i | ||||
\(964\) | −48.5932 | − | 84.1659i | −1.56508 | − | 2.71080i | ||||
\(965\) | −37.5453 | + | 1.44077i | −1.20863 | + | 0.0463800i | ||||
\(966\) | −51.9918 | + | 50.1008i | −1.67281 | + | 1.61197i | ||||
\(967\) | 11.9674 | − | 44.6628i | 0.384845 | − | 1.43626i | −0.453567 | − | 0.891222i | \(-0.649849\pi\) |
0.838412 | − | 0.545038i | \(-0.183485\pi\) | |||||||
\(968\) | 14.1201 | + | 52.6971i | 0.453839 | + | 1.69375i | ||||
\(969\) | 0.0581610 | − | 0.0886146i | 0.00186840 | − | 0.00284671i | ||||
\(970\) | 30.5793 | − | 9.46448i | 0.981844 | − | 0.303886i | ||||
\(971\) | 1.26093 | − | 0.727997i | 0.0404651 | − | 0.0233625i | −0.479631 | − | 0.877470i | \(-0.659229\pi\) |
0.520096 | + | 0.854108i | \(0.325896\pi\) | |||||||
\(972\) | −67.7768 | − | 41.3577i | −2.17394 | − | 1.32655i | ||||
\(973\) | 0.524113 | + | 13.5369i | 0.0168023 | + | 0.433974i | ||||
\(974\) | −73.8061 | − | 42.6120i | −2.36490 | − | 1.36538i | ||||
\(975\) | −37.6533 | + | 0.734057i | −1.20587 | + | 0.0235086i | ||||
\(976\) | − | 160.860i | − | 5.14899i | ||||||
\(977\) | −35.7992 | − | 35.7992i | −1.14532 | − | 1.14532i | −0.987462 | − | 0.157857i | \(-0.949541\pi\) |
−0.157857 | − | 0.987462i | \(-0.550459\pi\) | |||||||
\(978\) | −19.0142 | − | 21.3248i | −0.608007 | − | 0.681893i | ||||
\(979\) | 12.1027 | − | 20.9624i | 0.386802 | − | 0.669962i | ||||
\(980\) | −78.8761 | − | 11.6023i | −2.51960 | − | 0.370622i | ||||
\(981\) | −1.87265 | − | 0.215239i | −0.0597891 | − | 0.00687205i | ||||
\(982\) | −9.57240 | + | 35.7247i | −0.305467 | + | 1.14002i | ||||
\(983\) | 10.1294 | − | 37.8034i | 0.323078 | − | 1.20574i | −0.593153 | − | 0.805090i | \(-0.702117\pi\) |
0.916230 | − | 0.400652i | \(-0.131216\pi\) | |||||||
\(984\) | 6.30350 | − | 110.046i | 0.200948 | − | 3.50814i | ||||
\(985\) | 2.12617 | + | 55.4063i | 0.0677454 | + | 1.76539i | ||||
\(986\) | 2.76730 | − | 1.59770i | 0.0881288 | − | 0.0508812i | ||||
\(987\) | 22.6699 | − | 12.5346i | 0.721592 | − | 0.398979i | ||||
\(988\) | −1.00473 | − | 3.74971i | −0.0319647 | − | 0.119294i | ||||
\(989\) | −30.3290 | + | 17.5105i | −0.964406 | + | 0.556800i | ||||
\(990\) | −21.0986 | + | 30.8610i | −0.670557 | + | 0.980826i | ||||
\(991\) | 30.8008 | − | 53.3486i | 0.978420 | − | 1.69467i | 0.310268 | − | 0.950649i | \(-0.399581\pi\) |
0.668152 | − | 0.744024i | \(-0.267085\pi\) | |||||||
\(992\) | −21.0870 | + | 21.0870i | −0.669514 | + | 0.669514i | ||||
\(993\) | 19.1657 | − | 3.97659i | 0.608206 | − | 0.126193i | ||||
\(994\) | −18.2589 | − | 58.9223i | −0.579138 | − | 1.86890i | ||||
\(995\) | 21.9778 | − | 6.80226i | 0.696743 | − | 0.215646i | ||||
\(996\) | 35.8614 | + | 71.2353i | 1.13631 | + | 2.25718i | ||||
\(997\) | 22.1215 | + | 5.92744i | 0.700595 | + | 0.187724i | 0.591497 | − | 0.806307i | \(-0.298537\pi\) |
0.109098 | + | 0.994031i | \(0.465204\pi\) | |||||||
\(998\) | −0.414251 | − | 1.54601i | −0.0131129 | − | 0.0489380i | ||||
\(999\) | 15.0588 | + | 41.0061i | 0.476441 | + | 1.29738i |
(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 | 315.2.bs.e.52.38 | ✓ | 160 | |
3.2 | odd | 2 | 945.2.bv.e.262.3 | 160 | |||
5.3 | odd | 4 | inner | 315.2.bs.e.178.38 | yes | 160 | |
7.5 | odd | 6 | 315.2.cg.e.187.38 | yes | 160 | ||
9.4 | even | 3 | 315.2.cg.e.157.3 | yes | 160 | ||
9.5 | odd | 6 | 945.2.cj.e.577.38 | 160 | |||
15.8 | even | 4 | 945.2.bv.e.73.3 | 160 | |||
21.5 | even | 6 | 945.2.cj.e.397.3 | 160 | |||
35.33 | even | 12 | 315.2.cg.e.313.3 | yes | 160 | ||
45.13 | odd | 12 | 315.2.cg.e.283.38 | yes | 160 | ||
45.23 | even | 12 | 945.2.cj.e.388.3 | 160 | |||
63.5 | even | 6 | 945.2.bv.e.712.3 | 160 | |||
63.40 | odd | 6 | inner | 315.2.bs.e.292.38 | yes | 160 | |
105.68 | odd | 12 | 945.2.cj.e.208.38 | 160 | |||
315.68 | odd | 12 | 945.2.bv.e.523.3 | 160 | |||
315.103 | even | 12 | inner | 315.2.bs.e.103.38 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.38 | ✓ | 160 | 1.1 | even | 1 | trivial | |
315.2.bs.e.103.38 | yes | 160 | 315.103 | even | 12 | inner | |
315.2.bs.e.178.38 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.bs.e.292.38 | yes | 160 | 63.40 | odd | 6 | inner | |
315.2.cg.e.157.3 | yes | 160 | 9.4 | even | 3 | ||
315.2.cg.e.187.38 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.283.38 | yes | 160 | 45.13 | odd | 12 | ||
315.2.cg.e.313.3 | yes | 160 | 35.33 | even | 12 | ||
945.2.bv.e.73.3 | 160 | 15.8 | even | 4 | |||
945.2.bv.e.262.3 | 160 | 3.2 | odd | 2 | |||
945.2.bv.e.523.3 | 160 | 315.68 | odd | 12 | |||
945.2.bv.e.712.3 | 160 | 63.5 | even | 6 | |||
945.2.cj.e.208.38 | 160 | 105.68 | odd | 12 | |||
945.2.cj.e.388.3 | 160 | 45.23 | even | 12 | |||
945.2.cj.e.397.3 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.577.38 | 160 | 9.5 | odd | 6 |