Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [405,2,Mod(8,405)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(405, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("405.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 405 = 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 405.r (of order \(36\), degree \(12\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.23394128186\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{36})\) |
Twist minimal: | no (minimal twist has level 135) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 152.2 | ||
Character | \(\chi\) | \(=\) | 405.152 |
Dual form | 405.2.r.a.8.2 |
$q$-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 \(\left(\mathbb{Z}/405\mathbb{Z}\right)^\times\).
\(n\) | \(82\) | \(326\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{17}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.94894 | − | 1.36466i | −1.37811 | − | 0.964963i | −0.999219 | − | 0.0395221i | \(-0.987416\pi\) |
−0.378892 | − | 0.925441i | \(-0.623695\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.25203 | + | 3.43992i | 0.626014 | + | 1.71996i | ||||
\(5\) | −0.278496 | + | 2.21866i | −0.124547 | + | 0.992214i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.02475 | − | 2.19758i | −0.387318 | − | 0.830607i | −0.999213 | − | 0.0396673i | \(-0.987370\pi\) |
0.611895 | − | 0.790939i | \(-0.290408\pi\) | |||||||
\(8\) | 1.02263 | − | 3.81650i | 0.361553 | − | 1.34934i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.57049 | − | 3.94398i | 1.12909 | − | 1.24720i | ||||
\(11\) | −0.00275056 | − | 0.00327799i | −0.000829324 | − | 0.000988350i | 0.765630 | − | 0.643282i | \(-0.222428\pi\) |
−0.766459 | + | 0.642293i | \(0.777983\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.792678 | + | 1.13206i | 0.219849 | + | 0.313977i | 0.913893 | − | 0.405956i | \(-0.133061\pi\) |
−0.694043 | + | 0.719933i | \(0.744172\pi\) | |||||||
\(14\) | −1.00178 | + | 5.68139i | −0.267738 | + | 1.51842i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.59279 | + | 1.33651i | −0.398197 | + | 0.334127i | ||||
\(17\) | −0.510074 | − | 1.90362i | −0.123711 | − | 0.461696i | 0.876079 | − | 0.482167i | \(-0.160150\pi\) |
−0.999790 | + | 0.0204707i | \(0.993484\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −6.69182 | + | 3.86352i | −1.53521 | + | 0.886353i | −0.536099 | + | 0.844155i | \(0.680103\pi\) |
−0.999109 | + | 0.0421981i | \(0.986564\pi\) | |||||||
\(20\) | −7.98068 | + | 1.81982i | −1.78453 | + | 0.406923i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.000887327 | 0.0101422i | 0.000189179 | 0.00216232i | ||||||
\(23\) | −6.70002 | − | 3.12427i | −1.39705 | − | 0.651456i | −0.429253 | − | 0.903184i | \(-0.641223\pi\) |
−0.967798 | + | 0.251729i | \(0.919001\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.84488 | − | 1.23578i | −0.968976 | − | 0.247155i | ||||
\(26\) | − | 3.28806i | − | 0.644842i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 6.27648 | − | 6.27648i | 1.18614 | − | 1.18614i | ||||
\(29\) | 1.74110 | + | 9.87424i | 0.323313 | + | 1.83360i | 0.521272 | + | 0.853391i | \(0.325458\pi\) |
−0.197959 | + | 0.980210i | \(0.563431\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.62932 | + | 2.04890i | −1.01106 | + | 0.367994i | −0.793838 | − | 0.608129i | \(-0.791920\pi\) |
−0.217217 | + | 0.976123i | \(0.569698\pi\) | |||||||
\(32\) | −2.94406 | + | 0.257571i | −0.520440 | + | 0.0455326i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.60370 | + | 4.40613i | −0.275032 | + | 0.755645i | ||||
\(35\) | 5.16106 | − | 1.66155i | 0.872379 | − | 0.280853i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.68417 | − | 0.451272i | 0.276876 | − | 0.0741887i | −0.117709 | − | 0.993048i | \(-0.537555\pi\) |
0.394585 | + | 0.918859i | \(0.370888\pi\) | |||||||
\(38\) | 18.3144 | + | 1.60230i | 2.97098 | + | 0.259927i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 8.18270 | + | 3.33174i | 1.29380 | + | 0.526795i | ||||
\(41\) | 2.95191 | + | 0.520501i | 0.461011 | + | 0.0812887i | 0.399330 | − | 0.916807i | \(-0.369243\pi\) |
0.0616809 | + | 0.998096i | \(0.480354\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.628957 | + | 7.18901i | −0.0959151 | + | 1.09631i | 0.783864 | + | 0.620932i | \(0.213246\pi\) |
−0.879779 | + | 0.475382i | \(0.842310\pi\) | |||||||
\(44\) | 0.00783223 | − | 0.0135658i | 0.00118075 | − | 0.00204512i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 8.79437 | + | 15.2323i | 1.29666 | + | 2.24588i | ||||
\(47\) | −1.86865 | + | 0.871367i | −0.272571 | + | 0.127102i | −0.554098 | − | 0.832451i | \(-0.686937\pi\) |
0.281527 | + | 0.959553i | \(0.409159\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.720271 | − | 0.858385i | 0.102896 | − | 0.122626i | ||||
\(50\) | 7.75597 | + | 9.02009i | 1.09686 | + | 1.27563i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.90174 | + | 4.14412i | −0.402399 | + | 0.574686i | ||||
\(53\) | −1.25315 | − | 1.25315i | −0.172134 | − | 0.172134i | 0.615782 | − | 0.787916i | \(-0.288840\pi\) |
−0.787916 | + | 0.615782i | \(0.788840\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.00803875 | − | 0.00518964i | 0.00108394 | − | 0.000699770i | ||||
\(56\) | −9.43499 | + | 1.66364i | −1.26080 | + | 0.222314i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 10.0817 | − | 21.6203i | 1.32380 | − | 2.83889i | ||||
\(59\) | −0.763311 | − | 0.640494i | −0.0993747 | − | 0.0833853i | 0.591747 | − | 0.806124i | \(-0.298439\pi\) |
−0.691121 | + | 0.722739i | \(0.742883\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.39745 | − | 2.32848i | −0.819109 | − | 0.298131i | −0.101728 | − | 0.994812i | \(-0.532437\pi\) |
−0.717381 | + | 0.696681i | \(0.754659\pi\) | |||||||
\(62\) | 13.7673 | + | 3.68893i | 1.74845 | + | 0.468495i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 9.69063 | + | 5.59489i | 1.21133 | + | 0.699361i | ||||
\(65\) | −2.73241 | + | 1.44340i | −0.338914 | + | 0.179032i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.45442 | + | 5.21964i | −0.910702 | + | 0.637680i | −0.932143 | − | 0.362090i | \(-0.882063\pi\) |
0.0214414 | + | 0.999770i | \(0.493174\pi\) | |||||||
\(68\) | 5.90968 | − | 4.13800i | 0.716654 | − | 0.501806i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −12.3261 | − | 3.80486i | −1.47325 | − | 0.454767i | ||||
\(71\) | −8.32564 | − | 4.80681i | −0.988072 | − | 0.570464i | −0.0833745 | − | 0.996518i | \(-0.526570\pi\) |
−0.904697 | + | 0.426055i | \(0.859903\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.77741 | − | 0.744204i | −0.325071 | − | 0.0871025i | 0.0925931 | − | 0.995704i | \(-0.470484\pi\) |
−0.417664 | + | 0.908602i | \(0.637151\pi\) | |||||||
\(74\) | −3.89819 | − | 1.41882i | −0.453155 | − | 0.164935i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −21.6685 | − | 18.1821i | −2.48555 | − | 2.08563i | ||||
\(77\) | −0.00438501 | + | 0.00940367i | −0.000499718 | + | 0.00107165i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.95996 | − | 1.22723i | 0.783057 | − | 0.138074i | 0.232194 | − | 0.972670i | \(-0.425410\pi\) |
0.550863 | + | 0.834595i | \(0.314299\pi\) | |||||||
\(80\) | −2.52167 | − | 3.90606i | −0.281931 | − | 0.436711i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −5.04279 | − | 5.04279i | −0.556883 | − | 0.556883i | ||||
\(83\) | −5.84421 | + | 8.34640i | −0.641485 | + | 0.916136i | −0.999848 | − | 0.0174466i | \(-0.994446\pi\) |
0.358363 | + | 0.933582i | \(0.383335\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.36554 | − | 0.601528i | 0.473509 | − | 0.0652448i | ||||
\(86\) | 11.0364 | − | 13.1527i | 1.19008 | − | 1.41829i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.0153232 | + | 0.00714534i | −0.00163346 | + | 0.000761696i | ||||
\(89\) | −3.03785 | − | 5.26171i | −0.322012 | − | 0.557741i | 0.658891 | − | 0.752238i | \(-0.271026\pi\) |
−0.980903 | + | 0.194498i | \(0.937692\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.67550 | − | 2.90205i | 0.175640 | − | 0.304217i | ||||
\(92\) | 2.35862 | − | 26.9592i | 0.245904 | − | 2.81069i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.83102 | + | 0.851839i | 0.498281 | + | 0.0878604i | ||||
\(95\) | −6.70819 | − | 15.9228i | −0.688245 | − | 1.63365i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 12.5529 | + | 1.09824i | 1.27456 | + | 0.111509i | 0.704267 | − | 0.709935i | \(-0.251276\pi\) |
0.570289 | + | 0.821444i | \(0.306831\pi\) | |||||||
\(98\) | −2.57517 | + | 0.690016i | −0.260132 | + | 0.0697021i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.81496 | − | 18.2132i | −0.181496 | − | 1.82132i | ||||
\(101\) | 1.67645 | − | 4.60600i | 0.166813 | − | 0.458314i | −0.827916 | − | 0.560852i | \(-0.810474\pi\) |
0.994729 | + | 0.102537i | \(0.0326961\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −11.5458 | + | 1.01013i | −1.13764 | + | 0.0995307i | −0.640371 | − | 0.768066i | \(-0.721219\pi\) |
−0.497269 | + | 0.867596i | \(0.665664\pi\) | |||||||
\(104\) | 5.13112 | − | 1.86758i | 0.503148 | − | 0.183131i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.732191 | + | 4.15246i | 0.0711167 | + | 0.403323i | ||||
\(107\) | 3.31844 | − | 3.31844i | 0.320806 | − | 0.320806i | −0.528270 | − | 0.849076i | \(-0.677159\pi\) |
0.849076 | + | 0.528270i | \(0.177159\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 11.2538i | 1.07792i | 0.842332 | + | 0.538960i | \(0.181182\pi\) | ||||
−0.842332 | + | 0.538960i | \(0.818818\pi\) | |||||||
\(110\) | −0.0227492 | 0.000855890i | −0.00216905 | 8.16059e-5i | ||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 4.56928 | + | 2.13069i | 0.431757 | + | 0.201331i | ||||
\(113\) | 0.164272 | + | 1.87764i | 0.0154535 | + | 0.176634i | 0.999999 | + | 0.00150433i | \(0.000478843\pi\) |
−0.984545 | + | 0.175129i | \(0.943966\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 8.79762 | − | 13.9950i | 0.820382 | − | 1.30504i | ||||
\(116\) | −31.7867 | + | 18.3520i | −2.95132 | + | 1.70394i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.613590 | + | 2.28995i | 0.0564856 | + | 0.210807i | ||||
\(119\) | −3.66066 | + | 3.07166i | −0.335572 | + | 0.281579i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.91013 | − | 10.8329i | 0.173648 | − | 0.984806i | ||||
\(122\) | 9.29066 | + | 13.2684i | 0.841137 | + | 1.20127i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −14.0961 | − | 16.7991i | −1.26587 | − | 1.50860i | ||||
\(125\) | 4.09104 | − | 10.4050i | 0.365914 | − | 0.930649i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.52603 | − | 5.69522i | 0.135413 | − | 0.505369i | −0.864583 | − | 0.502491i | \(-0.832417\pi\) |
0.999996 | − | 0.00287859i | \(-0.000916284\pi\) | |||||||
\(128\) | −8.75341 | − | 18.7718i | −0.773700 | − | 1.65920i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 7.29508 | + | 0.915713i | 0.639821 | + | 0.0803133i | ||||
\(131\) | 5.29212 | + | 14.5400i | 0.462375 | + | 1.27036i | 0.923694 | + | 0.383130i | \(0.125154\pi\) |
−0.461320 | + | 0.887234i | \(0.652624\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 15.3478 | + | 10.7467i | 1.33082 | + | 0.931854i | ||||
\(134\) | 21.6513 | 1.87039 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −7.78679 | −0.667712 | ||||||||
\(137\) | 3.20087 | + | 2.24127i | 0.273468 | + | 0.191485i | 0.702263 | − | 0.711917i | \(-0.252173\pi\) |
−0.428795 | + | 0.903402i | \(0.641062\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.85959 | − | 5.10917i | −0.157728 | − | 0.433354i | 0.835506 | − | 0.549481i | \(-0.185174\pi\) |
−0.993234 | + | 0.116126i | \(0.962952\pi\) | |||||||
\(140\) | 12.1774 | + | 15.6733i | 1.02918 | + | 1.32464i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 9.66651 | + | 20.7299i | 0.811196 | + | 1.73961i | ||||
\(143\) | 0.00153058 | − | 0.00571218i | 0.000127993 | − | 0.000477677i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −22.3924 | + | 1.11295i | −1.85959 | + | 0.0924257i | ||||
\(146\) | 4.39742 | + | 5.24064i | 0.363933 | + | 0.433718i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.66097 | + | 5.22840i | 0.300930 | + | 0.429772i | ||||
\(149\) | −1.59684 | + | 9.05612i | −0.130818 | + | 0.741907i | 0.846863 | + | 0.531811i | \(0.178488\pi\) |
−0.977681 | + | 0.210095i | \(0.932623\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.68937 | − | 7.29124i | 0.707131 | − | 0.593353i | −0.216662 | − | 0.976247i | \(-0.569517\pi\) |
0.923792 | + | 0.382894i | \(0.125072\pi\) | |||||||
\(152\) | 7.90189 | + | 29.4903i | 0.640928 | + | 2.39198i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.0213790 | − | 0.0123432i | 0.00172277 | − | 0.000994640i | ||||
\(155\) | −2.97807 | − | 13.0601i | −0.239204 | − | 1.04902i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.0766881 | − | 0.876549i | −0.00612037 | − | 0.0699562i | 0.992520 | − | 0.122080i | \(-0.0389565\pi\) |
−0.998641 | + | 0.0521239i | \(0.983401\pi\) | |||||||
\(158\) | −15.2393 | − | 7.10621i | −1.21238 | − | 0.565340i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.248446 | − | 6.60358i | 0.0196414 | − | 0.522059i | ||||
\(161\) | 17.9254i | 1.41272i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.75545 | − | 4.75545i | 0.372476 | − | 0.372476i | −0.495902 | − | 0.868378i | \(-0.665163\pi\) |
0.868378 | + | 0.495902i | \(0.165163\pi\) | |||||||
\(164\) | 1.90539 | + | 10.8060i | 0.148786 | + | 0.843808i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 22.7800 | − | 8.29126i | 1.76807 | − | 0.643527i | ||||
\(167\) | −7.21152 | + | 0.630926i | −0.558044 | + | 0.0488226i | −0.362689 | − | 0.931910i | \(-0.618141\pi\) |
−0.195355 | + | 0.980733i | \(0.562586\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.79304 | − | 10.4213i | 0.291772 | − | 0.801637i | ||||
\(170\) | −9.32907 | − | 4.78515i | −0.715507 | − | 0.367004i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −25.5171 | + | 6.83728i | −1.94566 | + | 0.521338i | ||||
\(173\) | −2.37946 | − | 0.208175i | −0.180907 | − | 0.0158273i | −0.00365760 | − | 0.999993i | \(-0.501164\pi\) |
−0.177249 | + | 0.984166i | \(0.556720\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.24906 | + | 11.9134i | 0.170013 | + | 0.900565i | ||||
\(176\) | 0.00876211 | + | 0.00154500i | 0.000660469 | + | 0.000116458i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.25987 | + | 14.4004i | −0.0944315 | + | 1.07936i | ||||
\(179\) | 8.41245 | − | 14.5708i | 0.628776 | − | 1.08907i | −0.359021 | − | 0.933329i | \(-0.616889\pi\) |
0.987798 | − | 0.155743i | \(-0.0497772\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.54419 | + | 6.13871i | 0.263437 | + | 0.456287i | 0.967153 | − | 0.254195i | \(-0.0818105\pi\) |
−0.703716 | + | 0.710482i | \(0.748477\pi\) | |||||||
\(182\) | −7.22577 | + | 3.36943i | −0.535610 | + | 0.249759i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −18.7754 | + | 22.3757i | −1.38414 | + | 1.64955i | ||||
\(185\) | 0.532183 | + | 3.86228i | 0.0391269 | + | 0.283960i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.00483706 | + | 0.00690804i | −0.000353721 | + | 0.000505166i | ||||
\(188\) | −5.33703 | − | 5.33703i | −0.389243 | − | 0.389243i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −8.65544 | + | 40.1871i | −0.627932 | + | 2.91548i | ||||
\(191\) | 7.71793 | − | 1.36088i | 0.558450 | − | 0.0984697i | 0.112703 | − | 0.993629i | \(-0.464049\pi\) |
0.445747 | + | 0.895159i | \(0.352938\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.85219 | + | 16.8391i | −0.565213 | + | 1.21210i | 0.391259 | + | 0.920280i | \(0.372040\pi\) |
−0.956472 | + | 0.291823i | \(0.905738\pi\) | |||||||
\(194\) | −22.9662 | − | 19.2709i | −1.64888 | − | 1.38357i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.85457 | + | 1.40295i | 0.275327 | + | 0.100211i | ||||
\(197\) | 6.50660 | + | 1.74344i | 0.463576 | + | 0.124215i | 0.483045 | − | 0.875596i | \(-0.339531\pi\) |
−0.0194688 | + | 0.999810i | \(0.506198\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.81601 | + | 4.51257i | 0.554062 | + | 0.319888i | 0.750759 | − | 0.660576i | \(-0.229688\pi\) |
−0.196697 | + | 0.980464i | \(0.563021\pi\) | |||||||
\(200\) | −9.67084 | + | 17.2267i | −0.683832 | + | 1.21811i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −9.55295 | + | 6.68904i | −0.672143 | + | 0.470640i | ||||
\(203\) | 19.9152 | − | 13.9448i | 1.39778 | − | 0.978733i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.97691 | + | 6.40432i | −0.138073 | + | 0.447297i | ||||
\(206\) | 23.8806 | + | 13.7874i | 1.66384 | + | 0.960617i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.77557 | − | 0.743713i | −0.192451 | − | 0.0515672i | ||||
\(209\) | 0.0310708 | + | 0.0113089i | 0.00214921 | + | 0.000782250i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.86924 | + | 4.08578i | 0.335213 | + | 0.281277i | 0.794820 | − | 0.606846i | \(-0.207565\pi\) |
−0.459607 | + | 0.888122i | \(0.652010\pi\) | |||||||
\(212\) | 2.74176 | − | 5.87973i | 0.188305 | − | 0.403822i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −10.9960 | + | 1.93889i | −0.751672 | + | 0.132540i | ||||
\(215\) | −15.7748 | − | 3.39755i | −1.07583 | − | 0.231711i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 10.2713 | + | 10.2713i | 0.697258 | + | 0.697258i | ||||
\(218\) | 15.3577 | − | 21.9330i | 1.04015 | − | 1.48549i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.0279167 | + | 0.0211551i | 0.00188214 | + | 0.00142627i | ||||
\(221\) | 1.75069 | − | 2.08639i | 0.117764 | − | 0.140346i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.40610 | − | 1.58829i | 0.228089 | − | 0.106360i | −0.305214 | − | 0.952284i | \(-0.598728\pi\) |
0.533304 | + | 0.845924i | \(0.320950\pi\) | |||||||
\(224\) | 3.58295 | + | 6.20585i | 0.239396 | + | 0.414646i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.24219 | − | 3.88359i | 0.149149 | − | 0.258333i | ||||
\(227\) | 0.568200 | − | 6.49455i | 0.0377127 | − | 0.431059i | −0.953744 | − | 0.300621i | \(-0.902806\pi\) |
0.991456 | − | 0.130438i | \(-0.0416383\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −4.26742 | − | 0.752462i | −0.281999 | − | 0.0497241i | 0.0308595 | − | 0.999524i | \(-0.490176\pi\) |
−0.312859 | + | 0.949800i | \(0.601287\pi\) | |||||||
\(230\) | −36.2445 | + | 15.2696i | −2.38989 | + | 1.00684i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 39.4655 | + | 3.45279i | 2.59104 | + | 0.226687i | ||||
\(233\) | −25.2831 | + | 6.77460i | −1.65635 | + | 0.443818i | −0.961382 | − | 0.275219i | \(-0.911250\pi\) |
−0.694972 | + | 0.719037i | \(0.744583\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.41285 | − | 4.38857i | −0.0921642 | − | 0.286279i | ||||
\(236\) | 1.24756 | − | 3.42764i | 0.0812093 | − | 0.223121i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 11.3262 | − | 0.990915i | 0.734169 | − | 0.0642314i | ||||
\(239\) | 17.2215 | − | 6.26813i | 1.11397 | − | 0.405452i | 0.281521 | − | 0.959555i | \(-0.409161\pi\) |
0.832448 | + | 0.554103i | \(0.186939\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.09892 | − | 6.23226i | −0.0707874 | − | 0.401455i | −0.999528 | − | 0.0307248i | \(-0.990218\pi\) |
0.928740 | − | 0.370731i | \(-0.120893\pi\) | |||||||
\(242\) | −18.5060 | + | 18.5060i | −1.18961 | + | 1.18961i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 24.9220i | − | 1.59547i | ||||||
\(245\) | 1.70387 | + | 1.83709i | 0.108856 | + | 0.117367i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −9.67820 | − | 4.51302i | −0.615809 | − | 0.287156i | ||||
\(248\) | 2.06294 | + | 23.5795i | 0.130997 | + | 1.49730i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −22.1725 | + | 14.6958i | −1.40231 | + | 0.929443i | ||||
\(251\) | 23.1604 | − | 13.3717i | 1.46187 | − | 0.844013i | 0.462775 | − | 0.886476i | \(-0.346854\pi\) |
0.999098 | + | 0.0424628i | \(0.0135204\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.00818747 | + | 0.0305561i | 0.000514742 | + | 0.00192104i | ||||
\(254\) | −10.7462 | + | 9.01714i | −0.674277 | + | 0.565786i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −4.67107 | + | 26.4910i | −0.291942 | + | 1.65569i | ||||
\(257\) | 2.24834 | + | 3.21096i | 0.140248 | + | 0.200294i | 0.883131 | − | 0.469127i | \(-0.155431\pi\) |
−0.742883 | + | 0.669421i | \(0.766542\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.71756 | − | 3.23866i | −0.168861 | − | 0.201240i | ||||
\(260\) | −8.38625 | − | 7.59209i | −0.520093 | − | 0.470841i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 9.52815 | − | 35.5596i | 0.588651 | − | 2.19688i | ||||
\(263\) | 13.0357 | + | 27.9551i | 0.803815 | + | 1.72379i | 0.682146 | + | 0.731216i | \(0.261047\pi\) |
0.121669 | + | 0.992571i | \(0.461176\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.12932 | − | 2.43132i | 0.192233 | − | 0.149355i | ||||
\(266\) | −15.2464 | − | 41.8892i | −0.934819 | − | 2.56839i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −27.2883 | − | 19.1074i | −1.66690 | − | 1.16717i | ||||
\(269\) | −11.5179 | −0.702257 | −0.351128 | − | 0.936327i | \(-0.614202\pi\) | ||||
−0.351128 | + | 0.936327i | \(0.614202\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.78072 | −0.411899 | −0.205950 | − | 0.978563i | \(-0.566028\pi\) | ||||
−0.205950 | + | 0.978563i | \(0.566028\pi\) | |||||||
\(272\) | 3.35665 | + | 2.35035i | 0.203527 | + | 0.142511i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.17972 | − | 8.73621i | −0.192094 | − | 0.527774i | ||||
\(275\) | 0.00927526 | + | 0.0192805i | 0.000559319 | + | 0.00116266i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.19864 | + | 9.00402i | 0.252272 | + | 0.540999i | 0.991135 | − | 0.132856i | \(-0.0424149\pi\) |
−0.738863 | + | 0.673855i | \(0.764637\pi\) | |||||||
\(278\) | −3.34808 | + | 12.4952i | −0.200804 | + | 0.749412i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.06344 | − | 21.3963i | −0.0635529 | − | 1.27867i | ||||
\(281\) | 16.7510 | + | 19.9630i | 0.999280 | + | 1.19090i | 0.981580 | + | 0.191052i | \(0.0611900\pi\) |
0.0177003 | + | 0.999843i | \(0.494366\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.26583 | + | 6.09224i | 0.253577 | + | 0.362146i | 0.925677 | − | 0.378315i | \(-0.123496\pi\) |
−0.672100 | + | 0.740461i | \(0.734607\pi\) | |||||||
\(284\) | 6.11110 | − | 34.6578i | 0.362627 | − | 2.05656i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.0107782 | + | 0.00904400i | −0.000637329 | + | 0.000534783i | ||||
\(287\) | −1.88112 | − | 7.02044i | −0.111039 | − | 0.414403i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 11.3588 | − | 6.55802i | 0.668166 | − | 0.385766i | ||||
\(290\) | 45.1604 | + | 28.3891i | 2.65191 | + | 1.66706i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.917390 | − | 10.4858i | −0.0536862 | − | 0.613636i | ||||
\(293\) | −7.55448 | − | 3.52271i | −0.441337 | − | 0.205799i | 0.189231 | − | 0.981933i | \(-0.439400\pi\) |
−0.630568 | + | 0.776134i | \(0.717178\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.63362 | − | 1.51515i | 0.0951128 | − | 0.0882155i | ||||
\(296\) | − | 6.88912i | − | 0.400422i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 15.4707 | − | 15.4707i | 0.896194 | − | 0.896194i | ||||
\(299\) | −1.77409 | − | 10.0614i | −0.102598 | − | 0.581864i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 16.4429 | − | 5.98474i | 0.947755 | − | 0.344955i | ||||
\(302\) | −26.8852 | + | 2.35215i | −1.54707 | + | 0.135351i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 5.49502 | − | 15.0974i | 0.315161 | − | 0.865897i | ||||
\(305\) | 6.94777 | − | 13.5453i | 0.397828 | − | 0.775600i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −11.7737 | + | 3.15476i | −0.671962 | + | 0.180052i | −0.578638 | − | 0.815584i | \(-0.696416\pi\) |
−0.0933234 | + | 0.995636i | \(0.529749\pi\) | |||||||
\(308\) | −0.0378380 | − | 0.00331040i | −0.00215602 | − | 0.000188627i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −12.0186 | + | 29.5175i | −0.682611 | + | 1.67648i | ||||
\(311\) | −19.9366 | − | 3.51536i | −1.13050 | − | 0.199338i | −0.423054 | − | 0.906104i | \(-0.639042\pi\) |
−0.707447 | + | 0.706767i | \(0.750153\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.631317 | − | 7.21599i | 0.0356842 | − | 0.407872i | −0.957255 | − | 0.289246i | \(-0.906596\pi\) |
0.992939 | − | 0.118626i | \(-0.0378489\pi\) | |||||||
\(314\) | −1.04673 | + | 1.81300i | −0.0590706 | + | 0.102313i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 12.9356 | + | 22.4052i | 0.727686 | + | 1.26039i | ||||
\(317\) | 4.44794 | − | 2.07411i | 0.249821 | − | 0.116493i | −0.293675 | − | 0.955905i | \(-0.594878\pi\) |
0.543496 | + | 0.839412i | \(0.317100\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.0275787 | − | 0.0328670i | 0.00154411 | − | 0.00184020i | ||||
\(320\) | −15.1120 | + | 19.9420i | −0.844784 | + | 1.11479i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 24.4622 | − | 34.9356i | 1.36322 | − | 1.94688i | ||||
\(323\) | 10.7680 | + | 10.7680i | 0.599148 | + | 0.599148i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.44145 | − | 6.46427i | −0.135427 | − | 0.358573i | ||||
\(326\) | −15.7577 | + | 2.77851i | −0.872739 | + | 0.153887i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 5.00520 | − | 10.7337i | 0.276366 | − | 0.592668i | ||||
\(329\) | 3.82979 | + | 3.21358i | 0.211143 | + | 0.177170i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.66635 | − | 1.69841i | −0.256486 | − | 0.0933531i | 0.210577 | − | 0.977577i | \(-0.432466\pi\) |
−0.467063 | + | 0.884224i | \(0.654688\pi\) | |||||||
\(332\) | −36.0280 | − | 9.65368i | −1.97729 | − | 0.529814i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 14.9158 | + | 8.61167i | 0.816159 | + | 0.471209i | ||||
\(335\) | −9.50456 | − | 17.9924i | −0.519290 | − | 0.983032i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 17.9831 | − | 12.5919i | 0.979602 | − | 0.685925i | 0.0300546 | − | 0.999548i | \(-0.490432\pi\) |
0.949547 | + | 0.313624i | \(0.101543\pi\) | |||||||
\(338\) | −21.6140 | + | 15.1343i | −1.17564 | + | 0.823195i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 7.53498 | + | 14.2640i | 0.408642 | + | 0.773572i | ||||
\(341\) | 0.0222000 | + | 0.0128172i | 0.00120220 | + | 0.000694090i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −19.0194 | − | 5.09624i | −1.02695 | − | 0.275171i | ||||
\(344\) | 26.7937 | + | 9.75210i | 1.44462 | + | 0.525798i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 4.35333 | + | 3.65288i | 0.234037 | + | 0.196380i | ||||
\(347\) | 6.59670 | − | 14.1467i | 0.354129 | − | 0.759433i | −0.645863 | − | 0.763454i | \(-0.723502\pi\) |
0.999992 | + | 0.00402090i | \(0.00127990\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −23.5190 | + | 4.14704i | −1.25895 | + | 0.221986i | −0.763017 | − | 0.646378i | \(-0.776283\pi\) |
−0.495928 | + | 0.868364i | \(0.665172\pi\) | |||||||
\(350\) | 11.8744 | − | 26.2877i | 0.634715 | − | 1.40513i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.00894211 | + | 0.00894211i | 0.000476616 | + | 0.000476616i | ||||
\(353\) | −0.184497 | + | 0.263489i | −0.00981980 | + | 0.0140241i | −0.824032 | − | 0.566543i | \(-0.808280\pi\) |
0.814212 | + | 0.580567i | \(0.197169\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 12.9833 | − | 17.1331i | 0.689084 | − | 0.909329i | ||||
\(356\) | 14.2964 | − | 17.0378i | 0.757707 | − | 0.903000i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −36.2796 | + | 16.9175i | −1.91744 | + | 0.894116i | ||||
\(359\) | −2.09252 | − | 3.62435i | −0.110439 | − | 0.191286i | 0.805508 | − | 0.592585i | \(-0.201892\pi\) |
−0.915947 | + | 0.401298i | \(0.868559\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 20.3536 | − | 35.2535i | 1.07124 | − | 1.85545i | ||||
\(362\) | 1.46986 | − | 16.8006i | 0.0772543 | − | 0.883021i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 12.0806 | + | 2.13013i | 0.633194 | + | 0.111649i | ||||
\(365\) | 2.42463 | − | 5.95486i | 0.126911 | − | 0.311691i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −13.3335 | − | 1.16653i | −0.696004 | − | 0.0608924i | −0.266337 | − | 0.963880i | \(-0.585813\pi\) |
−0.429667 | + | 0.902988i | \(0.641369\pi\) | |||||||
\(368\) | 14.8473 | − | 3.97833i | 0.773970 | − | 0.207385i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 4.23351 | − | 8.25360i | 0.220090 | − | 0.429084i | ||||
\(371\) | −1.46974 | + | 4.03807i | −0.0763050 | + | 0.209646i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −15.6366 | + | 1.36803i | −0.809634 | + | 0.0708338i | −0.484452 | − | 0.874818i | \(-0.660981\pi\) |
−0.325182 | + | 0.945652i | \(0.605425\pi\) | |||||||
\(374\) | 0.0188543 | − | 0.00686241i | 0.000974933 | − | 0.000354847i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.41463 | + | 8.02279i | 0.0729542 | + | 0.413744i | ||||
\(377\) | −9.79812 | + | 9.79812i | −0.504629 | + | 0.504629i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 26.4477i | − | 1.35853i | −0.733894 | − | 0.679264i | \(-0.762299\pi\) | ||
0.733894 | − | 0.679264i | \(-0.237701\pi\) | |||||||
\(380\) | 46.3744 | − | 43.0114i | 2.37896 | − | 2.20644i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −16.8989 | − | 7.88010i | −0.864625 | − | 0.403181i | ||||
\(383\) | 1.62124 | + | 18.5309i | 0.0828415 | + | 0.946883i | 0.917923 | + | 0.396758i | \(0.129865\pi\) |
−0.835082 | + | 0.550126i | \(0.814580\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.0196423 | − | 0.0123477i | −0.00100107 | − | 0.000629298i | ||||
\(386\) | 38.2831 | − | 22.1028i | 1.94856 | − | 1.12500i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 11.9388 | + | 44.5560i | 0.606098 | + | 2.26199i | ||||
\(389\) | −25.4642 | + | 21.3670i | −1.29108 | + | 1.08335i | −0.299472 | + | 0.954105i | \(0.596810\pi\) |
−0.991613 | + | 0.129243i | \(0.958745\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.52993 | + | 14.3479i | −0.127944 | + | 0.725606i | ||||
\(392\) | −2.53946 | − | 3.62672i | −0.128262 | − | 0.183177i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −10.3018 | − | 12.2772i | −0.518996 | − | 0.618515i | ||||
\(395\) | 0.784477 | + | 15.7836i | 0.0394713 | + | 0.794157i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −8.84314 | + | 33.0030i | −0.443824 | + | 1.65637i | 0.275198 | + | 0.961388i | \(0.411257\pi\) |
−0.719022 | + | 0.694987i | \(0.755410\pi\) | |||||||
\(398\) | −9.07480 | − | 19.4610i | −0.454879 | − | 0.975490i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 9.36849 | − | 4.50689i | 0.468424 | − | 0.225344i | ||||
\(401\) | 3.56868 | + | 9.80487i | 0.178211 | + | 0.489632i | 0.996347 | − | 0.0853930i | \(-0.0272146\pi\) |
−0.818136 | + | 0.575025i | \(0.804992\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.78172 | − | 4.74861i | −0.337821 | − | 0.236545i | ||||
\(404\) | 17.9432 | 0.892709 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −57.8436 | −2.87073 | ||||||||
\(407\) | −0.00611167 | − | 0.00427944i | −0.000302944 | − | 0.000212124i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 13.0223 | + | 35.7785i | 0.643911 | + | 1.76913i | 0.639078 | + | 0.769142i | \(0.279316\pi\) |
0.00483335 | + | 0.999988i | \(0.498461\pi\) | |||||||
\(410\) | 12.5926 | − | 9.78383i | 0.621906 | − | 0.483189i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −17.9304 | − | 38.4519i | −0.883367 | − | 1.89439i | ||||
\(413\) | −0.625335 | + | 2.33378i | −0.0307707 | + | 0.114838i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −16.8902 | − | 15.2907i | −0.829107 | − | 0.750593i | ||||
\(416\) | −2.62527 | − | 3.12868i | −0.128715 | − | 0.153396i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.0451224 | − | 0.0644415i | −0.00220701 | − | 0.00315194i | ||||
\(419\) | −4.45593 | + | 25.2708i | −0.217686 | + | 1.23456i | 0.658497 | + | 0.752583i | \(0.271192\pi\) |
−0.876184 | + | 0.481978i | \(0.839919\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −18.3149 | + | 15.3680i | −0.892611 | + | 0.748990i | −0.968732 | − | 0.248109i | \(-0.920191\pi\) |
0.0761208 | + | 0.997099i | \(0.475747\pi\) | |||||||
\(422\) | −3.91416 | − | 14.6078i | −0.190538 | − | 0.711098i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −6.06417 | + | 3.50115i | −0.294502 | + | 0.170031i | ||||
\(425\) | 0.118797 | + | 9.85316i | 0.00576248 | + | 0.477948i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.43875 | + | 16.4450i | 0.0696260 | + | 0.795829i | ||||
\(428\) | 15.5699 | + | 7.26039i | 0.752602 | + | 0.350944i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 26.1076 | + | 28.1489i | 1.25902 | + | 1.35746i | ||||
\(431\) | 15.6671i | 0.754660i | 0.926079 | + | 0.377330i | \(0.123158\pi\) | ||||
−0.926079 | + | 0.377330i | \(0.876842\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 10.5845 | − | 10.5845i | 0.508657 | − | 0.508657i | −0.405457 | − | 0.914114i | \(-0.632888\pi\) |
0.914114 | + | 0.405457i | \(0.132888\pi\) | |||||||
\(434\) | −6.00127 | − | 34.0349i | −0.288070 | − | 1.63373i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −38.7122 | + | 14.0901i | −1.85398 | + | 0.674792i | ||||
\(437\) | 56.9060 | − | 4.97863i | 2.72218 | − | 0.238160i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.09912 | − | 19.5047i | 0.338823 | − | 0.930907i | −0.646907 | − | 0.762569i | \(-0.723938\pi\) |
0.985729 | − | 0.168338i | \(-0.0538401\pi\) | |||||||
\(440\) | −0.0115856 | − | 0.0359869i | −0.000552321 | − | 0.00171561i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −6.25923 | + | 1.67715i | −0.297721 | + | 0.0797741i | ||||
\(443\) | 7.49047 | + | 0.655331i | 0.355883 | + | 0.0311357i | 0.263696 | − | 0.964606i | \(-0.415059\pi\) |
0.0921874 | + | 0.995742i | \(0.470614\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 12.5200 | − | 5.27458i | 0.593504 | − | 0.250039i | ||||
\(446\) | −8.80576 | − | 1.55269i | −0.416965 | − | 0.0735222i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.36476 | − | 27.0293i | 0.111724 | − | 1.27701i | ||||
\(449\) | 2.66419 | − | 4.61452i | 0.125731 | − | 0.217773i | −0.796287 | − | 0.604918i | \(-0.793206\pi\) |
0.922018 | + | 0.387146i | \(0.126539\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.00641320 | − | 0.0111080i | −0.000301986 | − | 0.000523055i | ||||
\(452\) | −6.25326 | + | 2.91594i | −0.294129 | + | 0.137154i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −9.97027 | + | 11.8821i | −0.467928 | + | 0.557655i | ||||
\(455\) | 5.97203 | + | 4.52557i | 0.279973 | + | 0.212162i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −13.4866 | + | 19.2609i | −0.630879 | + | 0.900988i | −0.999592 | − | 0.0285551i | \(-0.990909\pi\) |
0.368714 | + | 0.929543i | \(0.379798\pi\) | |||||||
\(458\) | 7.29010 | + | 7.29010i | 0.340644 | + | 0.340644i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 59.1563 | + | 12.7410i | 2.75818 | + | 0.594053i | ||||
\(461\) | −15.8701 | + | 2.79833i | −0.739145 | + | 0.130331i | −0.530529 | − | 0.847667i | \(-0.678007\pi\) |
−0.208615 | + | 0.977998i | \(0.566896\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.30838 | + | 13.5284i | −0.293175 | + | 0.628716i | −0.996630 | − | 0.0820233i | \(-0.973862\pi\) |
0.703455 | + | 0.710740i | \(0.251640\pi\) | |||||||
\(464\) | −15.9702 | − | 13.4006i | −0.741398 | − | 0.622106i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 58.5204 | + | 21.2997i | 2.71091 | + | 0.986689i | ||||
\(467\) | 6.07179 | + | 1.62693i | 0.280969 | + | 0.0752854i | 0.396552 | − | 0.918012i | \(-0.370207\pi\) |
−0.115583 | + | 0.993298i | \(0.536873\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 19.1095 | + | 11.0329i | 0.882393 | + | 0.509450i | ||||
\(470\) | −3.23536 | + | 10.4811i | −0.149236 | + | 0.483459i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −3.22503 | + | 2.25819i | −0.148444 | + | 0.103942i | ||||
\(473\) | 0.0252955 | − | 0.0177121i | 0.00116309 | − | 0.000814402i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 37.1955 | − | 10.4487i | 1.70665 | − | 0.479420i | ||||
\(476\) | −15.1495 | − | 8.74657i | −0.694377 | − | 0.400899i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −42.1177 | − | 11.2854i | −1.92642 | − | 0.516182i | ||||
\(479\) | −6.42357 | − | 2.33799i | −0.293501 | − | 0.106825i | 0.191073 | − | 0.981576i | \(-0.438803\pi\) |
−0.484574 | + | 0.874750i | \(0.661025\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.84587 | + | 1.54887i | 0.0841645 | + | 0.0706224i | ||||
\(482\) | −6.36322 | + | 13.6460i | −0.289837 | + | 0.621557i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 39.6557 | − | 6.99237i | 1.80253 | − | 0.317835i | ||||
\(485\) | −5.93256 | + | 27.5448i | −0.269384 | + | 1.25074i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −11.7403 | − | 11.7403i | −0.532002 | − | 0.532002i | 0.389165 | − | 0.921168i | \(-0.372763\pi\) |
−0.921168 | + | 0.389165i | \(0.872763\pi\) | |||||||
\(488\) | −15.4289 | + | 22.0347i | −0.698431 | + | 0.997463i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.813732 | − | 5.90559i | −0.0367606 | − | 0.266788i | ||||
\(491\) | −10.6951 | + | 12.7459i | −0.482663 | + | 0.575215i | −0.951336 | − | 0.308157i | \(-0.900288\pi\) |
0.468673 | + | 0.883372i | \(0.344732\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 17.9087 | − | 8.35099i | 0.806569 | − | 0.376109i | ||||
\(494\) | 12.7035 | + | 22.0031i | 0.571557 | + | 0.989966i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6.22793 | − | 10.7871i | 0.279642 | − | 0.484355i | ||||
\(497\) | −2.03166 | + | 23.2220i | −0.0911326 | + | 1.04165i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −27.4365 | − | 4.83779i | −1.22823 | − | 0.216569i | −0.478363 | − | 0.878162i | \(-0.658770\pi\) |
−0.749863 | + | 0.661593i | \(0.769881\pi\) | |||||||
\(500\) | 40.9143 | + | 1.04555i | 1.82974 | + | 0.0467584i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −63.3862 | − | 5.54557i | −2.82906 | − | 0.247511i | ||||
\(503\) | 14.4253 | − | 3.86525i | 0.643192 | − | 0.172343i | 0.0775431 | − | 0.996989i | \(-0.475292\pi\) |
0.565649 | + | 0.824646i | \(0.308626\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.75226 | + | 5.00222i | 0.433970 | + | 0.222596i | ||||
\(506\) | 0.0257419 | − | 0.0707252i | 0.00114436 | − | 0.00314412i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 21.5017 | − | 1.88116i | 0.953985 | − | 0.0834629i | ||||
\(509\) | −5.75433 | + | 2.09440i | −0.255056 | + | 0.0928328i | −0.466384 | − | 0.884582i | \(-0.654443\pi\) |
0.211328 | + | 0.977415i | \(0.432221\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.21069 | + | 6.86619i | 0.0535580 | + | 0.303742i | ||||
\(512\) | 15.9632 | − | 15.9632i | 0.705482 | − | 0.705482i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | − | 9.32621i | − | 0.411361i | ||||||
\(515\) | 0.974338 | − | 25.8975i | 0.0429345 | − | 1.14118i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.00799616 | + | 0.00372867i | 0.000351671 | + | 0.000163987i | ||||
\(518\) | 0.876681 | + | 10.0205i | 0.0385191 | + | 0.440276i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.71451 | + | 11.9043i | 0.119039 | + | 0.522039i | ||||
\(521\) | −19.3541 | + | 11.1741i | −0.847920 | + | 0.489547i | −0.859949 | − | 0.510381i | \(-0.829505\pi\) |
0.0120282 | + | 0.999928i | \(0.496171\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.878392 | − | 3.27820i | −0.0384094 | − | 0.143346i | 0.944058 | − | 0.329778i | \(-0.106974\pi\) |
−0.982468 | + | 0.186433i | \(0.940307\pi\) | |||||||
\(524\) | −43.3905 | + | 36.4089i | −1.89552 | + | 1.59053i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 12.7435 | − | 72.2722i | 0.555645 | − | 3.15122i | ||||
\(527\) | 6.77171 | + | 9.67101i | 0.294980 | + | 0.421276i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 20.3451 | + | 24.2463i | 0.884569 | + | 1.05419i | ||||
\(530\) | −9.41680 | + | 0.468035i | −0.409040 | + | 0.0203302i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −17.7517 | + | 66.2503i | −0.769635 | + | 2.87232i | ||||
\(533\) | 1.75067 | + | 3.75433i | 0.0758301 | + | 0.162618i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.43831 | + | 8.28666i | 0.278353 | + | 0.358264i | ||||
\(536\) | 12.2976 | + | 33.7875i | 0.531178 | + | 1.45940i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 22.4477 | + | 15.7180i | 0.967787 | + | 0.677652i | ||||
\(539\) | −0.00479492 | −0.000206532 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −32.7244 | −1.40693 | −0.703466 | − | 0.710729i | \(-0.748365\pi\) | ||||
−0.703466 | + | 0.710729i | \(0.748365\pi\) | |||||||
\(542\) | 13.2152 | + | 9.25340i | 0.567642 | + | 0.397467i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.99201 | + | 5.47299i | 0.0854065 | + | 0.234653i | ||||
\(545\) | −24.9683 | − | 3.13414i | −1.06953 | − | 0.134252i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 12.0993 | + | 25.9469i | 0.517327 | + | 1.10941i | 0.975389 | + | 0.220491i | \(0.0707658\pi\) |
−0.458063 | + | 0.888920i | \(0.651456\pi\) | |||||||
\(548\) | −3.70221 | + | 13.8168i | −0.158151 | + | 0.590226i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.00823449 | − | 0.0502342i | 0.000351120 | − | 0.00214200i | ||||
\(551\) | −49.8005 | − | 59.3499i | −2.12157 | − | 2.52839i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −9.82914 | − | 14.0375i | −0.417977 | − | 0.596934i | ||||
\(554\) | 4.10455 | − | 23.2780i | 0.174385 | − | 0.988989i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 15.2469 | − | 12.7937i | 0.646612 | − | 0.542572i | ||||
\(557\) | −5.67171 | − | 21.1671i | −0.240318 | − | 0.896879i | −0.975679 | − | 0.219203i | \(-0.929654\pi\) |
0.735361 | − | 0.677675i | \(-0.237012\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8.63696 | + | 4.98655i | −0.365304 | + | 0.210909i | ||||
\(560\) | −5.99980 | + | 9.54429i | −0.253538 | + | 0.403320i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.40385 | − | 61.7663i | −0.227948 | − | 2.60545i | ||||
\(563\) | 9.80704 | + | 4.57310i | 0.413317 | + | 0.192733i | 0.618143 | − | 0.786065i | \(-0.287885\pi\) |
−0.204826 | + | 0.978798i | \(0.565663\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.21160 | − | 0.158452i | −0.177183 | − | 0.00666614i | ||||
\(566\) | − | 17.6948i | − | 0.743770i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −26.8592 | + | 26.8592i | −1.12699 | + | 1.12699i | ||||
\(569\) | −2.29260 | − | 13.0020i | −0.0961109 | − | 0.545072i | −0.994401 | − | 0.105670i | \(-0.966301\pi\) |
0.898290 | − | 0.439402i | \(-0.144810\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.42564 | + | 2.70271i | −0.310753 | + | 0.113105i | −0.492689 | − | 0.870206i | \(-0.663986\pi\) |
0.181936 | + | 0.983310i | \(0.441764\pi\) | |||||||
\(572\) | 0.0215658 | − | 0.00188676i | 0.000901710 | − | 7.88894e-5i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −5.91434 | + | 16.2495i | −0.246860 | + | 0.678242i | ||||
\(575\) | 28.5999 | + | 23.4164i | 1.19270 | + | 0.976533i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 25.1985 | − | 6.75192i | 1.04903 | − | 0.281086i | 0.307178 | − | 0.951652i | \(-0.400615\pi\) |
0.741850 | + | 0.670566i | \(0.233949\pi\) | |||||||
\(578\) | −31.0872 | − | 2.71978i | −1.29306 | − | 0.113128i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −31.8644 | − | 75.6347i | −1.32310 | − | 3.14056i | ||||
\(581\) | 24.3307 | + | 4.29016i | 1.00941 | + | 0.177986i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.000660950 | 0.00755470i | −2.73738e−5 | 0.000312884i | ||||||
\(584\) | −5.68051 | + | 9.83893i | −0.235061 | + | 0.407138i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 9.91592 | + | 17.1749i | 0.409623 | + | 0.709488i | ||||
\(587\) | −13.7926 | + | 6.43160i | −0.569282 | + | 0.265460i | −0.685875 | − | 0.727719i | \(-0.740580\pi\) |
0.116593 | + | 0.993180i | \(0.462803\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 29.7544 | − | 35.4599i | 1.22601 | − | 1.46110i | ||||
\(590\) | −5.25150 | + | 0.723604i | −0.216201 | + | 0.0297903i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.07940 | + | 2.96969i | −0.0854627 | + | 0.122053i | ||||
\(593\) | −30.1991 | − | 30.1991i | −1.24013 | − | 1.24013i | −0.959947 | − | 0.280181i | \(-0.909605\pi\) |
−0.280181 | − | 0.959947i | \(-0.590395\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −5.79548 | − | 8.97720i | −0.237592 | − | 0.368029i | ||||
\(596\) | −33.1516 | + | 5.84552i | −1.35794 | + | 0.239442i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −10.2728 | + | 22.0301i | −0.420086 | + | 0.900876i | ||||
\(599\) | −13.7064 | − | 11.5010i | −0.560028 | − | 0.469920i | 0.318292 | − | 0.947993i | \(-0.396891\pi\) |
−0.878320 | + | 0.478073i | \(0.841335\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −34.7520 | − | 12.6487i | −1.41757 | − | 0.515952i | −0.484225 | − | 0.874944i | \(-0.660898\pi\) |
−0.933341 | + | 0.358992i | \(0.883121\pi\) | |||||||
\(602\) | −40.2135 | − | 10.7752i | −1.63898 | − | 0.439163i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 35.9606 | + | 20.7619i | 1.46322 | + | 0.844788i | ||||
\(605\) | 23.5025 | + | 7.25483i | 0.955511 | + | 0.294951i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 35.5036 | − | 24.8599i | 1.44105 | − | 1.00903i | 0.447663 | − | 0.894203i | \(-0.352257\pi\) |
0.993385 | − | 0.114830i | \(-0.0366323\pi\) | |||||||
\(608\) | 18.7059 | − | 13.0980i | 0.758626 | − | 0.531196i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −32.0255 | + | 16.9176i | −1.29668 | + | 0.684973i | ||||
\(611\) | −2.46768 | − | 1.42471i | −0.0998316 | − | 0.0576378i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 0.212147 | + | 0.0568446i | 0.00856854 | + | 0.00229593i | 0.263101 | − | 0.964768i | \(-0.415255\pi\) |
−0.254532 | + | 0.967064i | \(0.581921\pi\) | |||||||
\(614\) | 27.2515 | + | 9.91873i | 1.09978 | + | 0.400287i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.0314049 | + | 0.0263518i | 0.00126534 | + | 0.00106175i | ||||
\(617\) | 11.5791 | − | 24.8316i | 0.466159 | − | 0.999681i | −0.522932 | − | 0.852374i | \(-0.675162\pi\) |
0.989091 | − | 0.147307i | \(-0.0470604\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −40.1687 | + | 7.08283i | −1.61452 | + | 0.284683i | −0.906720 | − | 0.421733i | \(-0.861422\pi\) |
−0.707797 | + | 0.706416i | \(0.750311\pi\) | |||||||
\(620\) | 41.1972 | − | 26.5960i | 1.65452 | − | 1.06812i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 34.0580 | + | 34.0580i | 1.36560 | + | 1.36560i | ||||
\(623\) | −8.45000 | + | 12.0678i | −0.338542 | + | 0.483488i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 21.9457 | + | 11.9744i | 0.877829 | + | 0.478975i | ||||
\(626\) | −11.0778 | + | 13.2020i | −0.442758 | + | 0.527658i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.91924 | − | 1.36126i | 0.116490 | − | 0.0543203i | ||||
\(629\) | −1.71810 | − | 2.97584i | −0.0685053 | − | 0.118655i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −21.0645 | + | 36.4848i | −0.838565 | + | 1.45244i | 0.0525304 | + | 0.998619i | \(0.483271\pi\) |
−0.891095 | + | 0.453817i | \(0.850062\pi\) | |||||||
\(632\) | 2.43373 | − | 27.8177i | 0.0968087 | − | 1.10653i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −11.4992 | − | 2.02762i | −0.456693 | − | 0.0805272i | ||||
\(635\) | 12.2108 | + | 4.97184i | 0.484569 | + | 0.197301i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.54269 | + | 0.134968i | 0.0611235 | + | 0.00534761i | ||||
\(638\) | −0.0986016 | + | 0.0264202i | −0.00390367 | + | 0.00104599i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 44.0859 | − | 14.1930i | 1.74265 | − | 0.561026i | ||||
\(641\) | 8.97472 | − | 24.6578i | 0.354480 | − | 0.973926i | −0.626432 | − | 0.779476i | \(-0.715486\pi\) |
0.980912 | − | 0.194450i | \(-0.0622922\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −29.4868 | + | 2.57976i | −1.16284 | + | 0.101736i | −0.652194 | − | 0.758052i | \(-0.726151\pi\) |
−0.510651 | + | 0.859788i | \(0.670596\pi\) | |||||||
\(644\) | −61.6619 | + | 22.4431i | −2.42982 | + | 0.884382i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −6.29152 | − | 35.6810i | −0.247536 | − | 1.40385i | ||||
\(647\) | −3.41329 | + | 3.41329i | −0.134190 | + | 0.134190i | −0.771012 | − | 0.636821i | \(-0.780249\pi\) |
0.636821 | + | 0.771012i | \(0.280249\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.00426384i | 0.000167370i | ||||||||
\(650\) | −4.06331 | + | 15.9303i | −0.159376 | + | 0.624836i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 22.3123 | + | 10.4044i | 0.873818 | + | 0.407468i | ||||
\(653\) | −3.91945 | − | 44.7996i | −0.153380 | − | 1.75314i | −0.550005 | − | 0.835161i | \(-0.685374\pi\) |
0.396625 | − | 0.917981i | \(-0.370181\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −33.7331 | + | 7.69207i | −1.31806 | + | 0.300554i | ||||
\(656\) | −5.39742 | + | 3.11620i | −0.210734 | + | 0.121667i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −3.07859 | − | 11.4895i | −0.120016 | − | 0.447906i | ||||
\(659\) | 31.0081 | − | 26.0189i | 1.20790 | − | 1.01355i | 0.208535 | − | 0.978015i | \(-0.433130\pi\) |
0.999368 | − | 0.0355365i | \(-0.0113140\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.96480 | + | 16.8142i | −0.115318 | + | 0.653998i | 0.871275 | + | 0.490795i | \(0.163294\pi\) |
−0.986593 | + | 0.163203i | \(0.947817\pi\) | |||||||
\(662\) | 6.77668 | + | 9.67810i | 0.263383 | + | 0.376150i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 25.8776 | + | 30.8397i | 1.00424 | + | 1.19681i | ||||
\(665\) | −28.1175 | + | 31.0586i | −1.09035 | + | 1.20440i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 19.1844 | − | 71.5973i | 0.742824 | − | 2.77226i | ||||
\(668\) | −11.1994 | − | 24.0171i | −0.433316 | − | 0.929250i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −6.02980 | + | 48.0368i | −0.232952 | + | 1.85582i | ||||
\(671\) | 0.00996382 | + | 0.0273754i | 0.000384649 | + | 0.00105681i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 25.0337 | + | 17.5288i | 0.964978 | + | 0.675685i | 0.946011 | − | 0.324135i | \(-0.105073\pi\) |
0.0189672 | + | 0.999820i | \(0.493962\pi\) | |||||||
\(674\) | −52.2317 | −2.01189 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 40.5973 | 1.56144 | ||||||||
\(677\) | −17.6437 | − | 12.3542i | −0.678102 | − | 0.474812i | 0.183087 | − | 0.983097i | \(-0.441391\pi\) |
−0.861189 | + | 0.508284i | \(0.830280\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −10.4501 | − | 28.7114i | −0.401038 | − | 1.10184i | ||||
\(680\) | 2.16859 | − | 17.2762i | 0.0831617 | − | 0.662513i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.0257754 | − | 0.0552756i | −0.000986992 | − | 0.00211661i | ||||
\(683\) | 2.39311 | − | 8.93120i | 0.0915697 | − | 0.341743i | −0.904907 | − | 0.425609i | \(-0.860060\pi\) |
0.996477 | + | 0.0838658i | \(0.0267267\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −5.86404 | + | 6.47744i | −0.224053 | + | 0.247490i | ||||
\(686\) | 30.1131 | + | 35.8874i | 1.14972 | + | 1.37019i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −8.60637 | − | 12.2912i | −0.328115 | − | 0.468597i | ||||
\(689\) | 0.425300 | − | 2.41199i | 0.0162026 | − | 0.0918897i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 15.9016 | − | 13.3430i | 0.604925 | − | 0.507592i | −0.288099 | − | 0.957601i | \(-0.593023\pi\) |
0.893024 | + | 0.450008i | \(0.148579\pi\) | |||||||
\(692\) | −2.26304 | − | 8.44577i | −0.0860278 | − | 0.321060i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −32.1620 | + | 18.5688i | −1.22085 | + | 0.704860i | ||||
\(695\) | 11.8534 | − | 2.70290i | 0.449625 | − | 0.102527i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.514855 | − | 5.88482i | −0.0195015 | − | 0.222903i | ||||
\(698\) | 51.4966 | + | 24.0132i | 1.94917 | + | 0.908915i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −38.1651 | + | 22.6524i | −1.44250 | + | 0.856182i | ||||
\(701\) | 5.94733i | 0.224627i | 0.993673 | + | 0.112314i | \(0.0358262\pi\) | ||||
−0.993673 | + | 0.112314i | \(0.964174\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −9.52667 | + | 9.52667i | −0.359305 | + | 0.359305i | ||||
\(704\) | −0.00831467 | − | 0.0471548i | −0.000313371 | − | 0.00177721i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.719149 | − | 0.261749i | 0.0270655 | − | 0.00985105i | ||||
\(707\) | −11.8400 | + | 1.03586i | −0.445289 | + | 0.0389577i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.0976022 | − | 0.268160i | 0.00366553 | − | 0.0100710i | −0.937846 | − | 0.347051i | \(-0.887183\pi\) |
0.941512 | + | 0.336980i | \(0.109405\pi\) | |||||||
\(710\) | −48.6846 | + | 15.6735i | −1.82710 | + | 0.588215i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −23.1879 | + | 6.21318i | −0.869004 | + | 0.232849i | ||||
\(713\) | 44.1179 | + | 3.85981i | 1.65223 | + | 0.144551i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.0122471 | + | 0.00498664i | 0.000458016 | + | 0.000186490i | ||||
\(716\) | 60.6550 | + | 10.6951i | 2.26678 | + | 0.399695i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.867822 | + | 9.91925i | −0.0323868 | + | 0.370183i | ||||
\(719\) | −13.3454 | + | 23.1148i | −0.497698 | + | 0.862038i | −0.999996 | − | 0.00265626i | \(-0.999154\pi\) |
0.502299 | + | 0.864694i | \(0.332488\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 14.0514 | + | 24.3377i | 0.523300 | + | 0.906382i | ||||
\(722\) | −87.7772 | + | 40.9312i | −3.26673 | + | 1.52330i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −16.6792 | + | 19.8775i | −0.619879 | + | 0.738743i | ||||
\(725\) | 3.76695 | − | 49.9911i | 0.139901 | − | 1.85662i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −28.9346 | + | 41.3229i | −1.07313 | + | 1.53258i | −0.247067 | + | 0.968998i | \(0.579467\pi\) |
−0.826059 | + | 0.563584i | \(0.809422\pi\) | |||||||
\(728\) | −9.36225 | − | 9.36225i | −0.346988 | − | 0.346988i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −12.8518 | + | 8.29686i | −0.475668 | + | 0.307081i | ||||
\(731\) | 14.0060 | − | 2.46963i | 0.518030 | − | 0.0913427i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 16.9546 | − | 36.3592i | 0.626231 | − | 1.34296i | −0.295580 | − | 0.955318i | \(-0.595513\pi\) |
0.921811 | − | 0.387639i | \(-0.126709\pi\) | |||||||
\(734\) | 24.3943 | + | 20.4693i | 0.900411 | + | 0.755535i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 20.5300 | + | 7.47229i | 0.756744 | + | 0.275432i | ||||
\(737\) | 0.0376137 | + | 0.0100786i | 0.00138552 | + | 0.000371249i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 18.7080 | + | 10.8011i | 0.688186 | + | 0.397324i | 0.802932 | − | 0.596070i | \(-0.203272\pi\) |
−0.114746 | + | 0.993395i | \(0.536605\pi\) | |||||||
\(740\) | −12.6196 | + | 6.66634i | −0.463906 | + | 0.245060i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 8.37505 | − | 5.86427i | 0.307458 | − | 0.215284i | ||||
\(743\) | −22.4982 | + | 15.7534i | −0.825380 | + | 0.577937i | −0.908156 | − | 0.418631i | \(-0.862510\pi\) |
0.0827765 | + | 0.996568i | \(0.473621\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −19.6477 | − | 6.06494i | −0.719837 | − | 0.222202i | ||||
\(746\) | 32.3418 | + | 18.6725i | 1.18412 | + | 0.683650i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.0298192 | − | 0.00799004i | −0.00109030 | − | 0.000292145i | ||||
\(749\) | −10.6931 | − | 3.89197i | −0.390717 | − | 0.142210i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 36.9715 | + | 31.0228i | 1.34911 | + | 1.13204i | 0.979184 | + | 0.202976i | \(0.0650615\pi\) |
0.369926 | + | 0.929061i | \(0.379383\pi\) | |||||||
\(752\) | 1.81178 | − | 3.88537i | 0.0660687 | − | 0.141685i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 32.4671 | − | 5.72483i | 1.18238 | − | 0.208486i | ||||
\(755\) | 13.7568 | + | 21.3093i | 0.500662 | + | 0.775525i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 25.7438 | + | 25.7438i | 0.935673 | + | 0.935673i | 0.998052 | − | 0.0623799i | \(-0.0198691\pi\) |
−0.0623799 | + | 0.998052i | \(0.519869\pi\) | |||||||
\(758\) | −36.0923 | + | 51.5451i | −1.31093 | + | 1.87220i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −67.6294 | + | 9.31866i | −2.45318 | + | 0.338023i | ||||
\(761\) | −8.43284 | + | 10.0499i | −0.305690 | + | 0.364308i | −0.896918 | − | 0.442197i | \(-0.854199\pi\) |
0.591227 | + | 0.806505i | \(0.298644\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 24.7311 | − | 11.5323i | 0.895327 | − | 0.417498i | ||||
\(764\) | 14.3444 | + | 24.8452i | 0.518961 | + | 0.898867i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 22.1287 | − | 38.3280i | 0.799543 | − | 1.38485i | ||||
\(767\) | 0.120019 | − | 1.37182i | 0.00433362 | − | 0.0495336i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.71767 | − | 0.655525i | −0.134062 | − | 0.0236388i | 0.106214 | − | 0.994343i | \(-0.466127\pi\) |
−0.240277 | + | 0.970704i | \(0.577238\pi\) | |||||||
\(770\) | 0.0214313 | + | 0.0508701i | 0.000772329 | + | 0.00183323i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −67.7562 | − | 5.92790i | −2.43860 | − | 0.213350i | ||||
\(773\) | 22.9201 | − | 6.14142i | 0.824379 | − | 0.220892i | 0.178119 | − | 0.984009i | \(-0.442999\pi\) |
0.646260 | + | 0.763117i | \(0.276332\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 29.8054 | − | 2.97012i | 1.07064 | − | 0.106690i | ||||
\(776\) | 17.0284 | − | 46.7851i | 0.611284 | − | 1.67949i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 78.7869 | − | 6.89296i | 2.82465 | − | 0.247125i | ||||
\(779\) | −21.7646 | + | 7.92167i | −0.779798 | + | 0.283823i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.00714349 | + | 0.0405128i | 0.000255614 | + | 0.00144966i | ||||
\(782\) | 24.5108 | − | 24.5108i | 0.876503 | − | 0.876503i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 2.32987i | 0.0832097i | ||||||||
\(785\) | 1.96612 | + | 0.0739711i | 0.0701738 | + | 0.00264014i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −2.14886 | − | 1.00203i | −0.0765987 | − | 0.0357185i | 0.383941 | − | 0.923357i | \(-0.374566\pi\) |
−0.460540 | + | 0.887639i | \(0.652344\pi\) | |||||||
\(788\) | 2.14916 | + | 24.5650i | 0.0765606 | + | 0.875092i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 20.0103 | − | 31.8318i | 0.711936 | − | 1.13252i | ||||
\(791\) | 3.95793 | − | 2.28511i | 0.140728 | − | 0.0812492i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.43513 | − | 9.08804i | −0.0864741 | − | 0.322726i | ||||
\(794\) | 62.2728 | − | 52.2531i | 2.20998 | − | 1.85439i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −5.73703 | + | 32.5363i | −0.203343 | + | 1.15322i | ||||
\(797\) | −11.0535 | − | 15.7860i | −0.391534 | − | 0.559169i | 0.574196 | − | 0.818718i | \(-0.305315\pi\) |
−0.965730 | + | 0.259549i | \(0.916426\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.61190 | + | 3.11275i | 0.0924025 | + | 0.110121i | ||||
\(800\) | 14.5819 | + | 2.39029i | 0.515548 | + | 0.0845095i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 6.42520 | − | 23.9792i | 0.226882 | − | 0.846734i | ||||
\(803\) | 0.00519993 | + | 0.0111513i | 0.000183501 | + | 0.000393520i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −39.7703 | − | 4.99216i | −1.40172 | − | 0.175951i | ||||
\(806\) | 6.73692 | + | 18.5095i | 0.237298 | + | 0.651971i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −15.8644 | − | 11.1084i | −0.558108 | − | 0.390792i | ||||
\(809\) | 48.9190 | 1.71990 | 0.859951 | − | 0.510377i | \(-0.170494\pi\) | ||||
0.859951 | + | 0.510377i | \(0.170494\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 11.0352 | 0.387500 | 0.193750 | − | 0.981051i | \(-0.437935\pi\) | ||||
0.193750 | + | 0.981051i | \(0.437935\pi\) | |||||||
\(812\) | 72.9034 | + | 51.0475i | 2.55841 | + | 1.79142i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.00607130 | + | 0.0166808i | 0.000212799 | + | 0.000584660i | ||||
\(815\) | 9.22635 | + | 11.8751i | 0.323185 | + | 0.415967i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −23.5661 | − | 50.5376i | −0.824472 | − | 1.76809i | ||||
\(818\) | 23.4459 | − | 87.5012i | 0.819766 | − | 3.05941i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −24.5055 | + | 1.21798i | −0.855768 | + | 0.0425335i | ||||
\(821\) | 7.94924 | + | 9.47354i | 0.277431 | + | 0.330629i | 0.886709 | − | 0.462327i | \(-0.152985\pi\) |
−0.609279 | + | 0.792956i | \(0.708541\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 22.1538 | + | 31.6390i | 0.772234 | + | 1.10286i | 0.991867 | + | 0.127282i | \(0.0406253\pi\) |
−0.219632 | + | 0.975583i | \(0.570486\pi\) | |||||||
\(824\) | −7.95190 | + | 45.0975i | −0.277018 | + | 1.57104i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 4.40357 | − | 3.69503i | 0.153220 | − | 0.128567i | ||||
\(827\) | 4.58916 | + | 17.1270i | 0.159581 | + | 0.595563i | 0.998669 | + | 0.0515685i | \(0.0164220\pi\) |
−0.839089 | + | 0.543994i | \(0.816911\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 20.1611 | − | 11.6400i | 0.700224 | − | 0.404275i | −0.107207 | − | 0.994237i | \(-0.534191\pi\) |
0.807431 | + | 0.589962i | \(0.200857\pi\) | |||||||
\(830\) | 12.0513 | + | 52.8502i | 0.418307 | + | 1.83446i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.34779 | + | 15.4053i | 0.0467263 | + | 0.534084i | ||||
\(833\) | −2.00143 | − | 0.933284i | −0.0693455 | − | 0.0323364i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.608573 | − | 16.1756i | 0.0210605 | − | 0.559780i | ||||
\(836\) | 0.121040i | 0.00418626i | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 43.1705 | − | 43.1705i | 1.49130 | − | 1.49130i | ||||
\(839\) | 0.280939 | + | 1.59329i | 0.00969910 | + | 0.0550063i | 0.989273 | − | 0.146077i | \(-0.0466648\pi\) |
−0.979574 | + | 0.201084i | \(0.935554\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −67.2182 | + | 24.4654i | −2.31787 | + | 0.843635i | ||||
\(842\) | 56.6667 | − | 4.95770i | 1.95286 | − | 0.170854i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −7.95832 | + | 21.8653i | −0.273937 | + | 0.752635i | ||||
\(845\) | 22.0649 | + | 11.3177i | 0.759056 | + | 0.389342i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −25.7635 | + | 6.90330i | −0.885243 | + | 0.237200i | ||||
\(848\) | 3.67086 | + | 0.321159i | 0.126058 | + | 0.0110286i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 13.2147 | − | 19.3654i | 0.453261 | − | 0.664226i | ||||
\(851\) | −12.6939 | − | 2.23827i | −0.435141 | − | 0.0767270i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1.96923 | + | 22.5084i | −0.0674252 | + | 0.770674i | 0.884938 | + | 0.465708i | \(0.154200\pi\) |
−0.952363 | + | 0.304965i | \(0.901355\pi\) | |||||||
\(854\) | 19.6379 | − | 34.0138i | 0.671994 | − | 1.16393i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −9.27130 | − | 16.0584i | −0.316886 | − | 0.548863i | ||||
\(857\) | −28.0044 | + | 13.0587i | −0.956612 | + | 0.446076i | −0.837277 | − | 0.546778i | \(-0.815854\pi\) |
−0.119335 | + | 0.992854i | \(0.538076\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 17.7378 | − | 21.1391i | 0.605205 | − | 0.721256i | −0.373246 | − | 0.927732i | \(-0.621755\pi\) |
0.978452 | + | 0.206477i | \(0.0661997\pi\) | |||||||
\(860\) | −8.06317 | − | 58.5178i | −0.274952 | − | 1.99544i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 21.3804 | − | 30.5344i | 0.728219 | − | 1.04000i | ||||
\(863\) | −15.5004 | − | 15.5004i | −0.527641 | − | 0.527641i | 0.392228 | − | 0.919868i | \(-0.371705\pi\) |
−0.919868 | + | 0.392228i | \(0.871705\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.12454 | − | 5.22122i | 0.0382355 | − | 0.177527i | ||||
\(866\) | −35.0727 | + | 6.18427i | −1.19182 | + | 0.210150i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −22.4724 | + | 48.1922i | −0.762762 | + | 1.63575i | ||||
\(869\) | −0.0231666 | − | 0.0194391i | −0.000785874 | − | 0.000659426i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −11.8179 | − | 4.30136i | −0.400434 | − | 0.145746i | ||||
\(872\) | 42.9501 | + | 11.5085i | 1.45448 | + | 0.389725i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −117.701 | − | 67.9545i | −3.98129 | − | 2.29860i | ||||
\(875\) | −27.0580 | + | 1.67207i | −0.914728 | + | 0.0565264i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 2.23967 | − | 1.56824i | 0.0756283 | − | 0.0529555i | −0.535151 | − | 0.844757i | \(-0.679745\pi\) |
0.610779 | + | 0.791801i | \(0.290856\pi\) | |||||||
\(878\) | −40.4531 | + | 28.3256i | −1.36523 | + | 0.955942i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.00586803 | + | 0.0190098i | −0.000197811 | + | 0.000640821i | ||||
\(881\) | −38.0975 | − | 21.9956i | −1.28354 | − | 0.741051i | −0.306045 | − | 0.952017i | \(-0.599006\pi\) |
−0.977493 | + | 0.210966i | \(0.932339\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −26.2915 | − | 7.04478i | −0.884779 | − | 0.237076i | −0.212311 | − | 0.977202i | \(-0.568099\pi\) |
−0.672468 | + | 0.740126i | \(0.734766\pi\) | |||||||
\(884\) | 9.36894 | + | 3.41001i | 0.315111 | + | 0.114691i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −13.7042 | − | 11.4992i | −0.460401 | − | 0.386322i | ||||
\(887\) | −22.6131 | + | 48.4940i | −0.759274 | + | 1.62827i | 0.0185820 | + | 0.999827i | \(0.494085\pi\) |
−0.777856 | + | 0.628442i | \(0.783693\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −14.0795 | + | 2.48260i | −0.472211 | + | 0.0832636i | ||||
\(890\) | −31.5987 | − | 6.80569i | −1.05919 | − | 0.228127i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 9.72811 | + | 9.72811i | 0.325721 | + | 0.325721i | ||||
\(893\) | 9.13813 | − | 13.0506i | 0.305796 | − | 0.436722i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 29.9848 | + | 22.7223i | 1.00228 | + | 0.759522i | ||||
\(896\) | −32.2824 | + | 38.4726i | −1.07848 | + | 1.28528i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −11.4896 | + | 5.35770i | −0.383414 | + | 0.178789i | ||||
\(899\) | −30.0326 | − | 52.0179i | −1.00164 | − | 1.73489i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.74633 | + | 3.02474i | −0.0581788 | + | 0.100769i | ||||
\(902\) | −0.00265972 | + | 0.0304007i | −8.85589e−5 | + | 0.00101223i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 7.33401 | + | 1.29318i | 0.243926 | + | 0.0430107i | ||||
\(905\) | −14.6067 | + | 6.15373i | −0.485544 | + | 0.204557i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 48.1046 | + | 4.20861i | 1.59729 | + | 0.139745i | 0.850740 | − | 0.525587i | \(-0.176154\pi\) |
0.746548 | + | 0.665332i | \(0.231710\pi\) | |||||||
\(908\) | 23.0521 | − | 6.17680i | 0.765011 | − | 0.204984i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −5.46326 | − | 16.9699i | −0.181105 | − | 0.562546i | ||||
\(911\) | 14.5674 | − | 40.0237i | 0.482640 | − | 1.32604i | −0.424581 | − | 0.905390i | \(-0.639579\pi\) |
0.907221 | − | 0.420653i | \(-0.138199\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.0434342 | − | 0.00380000i | 0.00143746 | − | 0.000125762i | ||||
\(914\) | 52.5694 | − | 19.1337i | 1.73884 | − | 0.632886i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −2.75452 | − | 15.6217i | −0.0910121 | − | 0.516155i | ||||
\(917\) | 26.5297 | − | 26.5297i | 0.876087 | − | 0.876087i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 29.7860i | 0.982549i | 0.871005 | + | 0.491274i | \(0.163469\pi\) | ||||
−0.871005 | + | 0.491274i | \(0.836531\pi\) | |||||||
\(920\) | −44.4150 | − | 47.8877i | −1.46432 | − | 1.57881i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 34.7487 | + | 16.2036i | 1.14439 | + | 0.533637i | ||||
\(923\) | −1.15795 | − | 13.2354i | −0.0381143 | − | 0.435648i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −8.71728 | + | 0.105102i | −0.286622 | + | 0.00345572i | ||||
\(926\) | 30.7563 | − | 17.7572i | 1.01072 | − | 0.583537i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −7.66920 | − | 28.6219i | −0.251754 | − | 0.939559i | ||||
\(929\) | 6.65219 | − | 5.58185i | 0.218251 | − | 0.183135i | −0.527106 | − | 0.849799i | \(-0.676723\pi\) |
0.745358 | + | 0.666665i | \(0.232279\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.50353 | + | 8.52694i | −0.0492762 | + | 0.279459i | ||||
\(932\) | −54.9592 | − | 78.4899i | −1.80025 | − | 2.57102i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −9.61335 | − | 11.4567i | −0.314559 | − | 0.374876i | ||||
\(935\) | −0.0139795 | − | 0.0126556i | −0.000457178 | − | 0.000413884i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −8.64443 | + | 32.2615i | −0.282401 | + | 1.05394i | 0.668316 | + | 0.743877i | \(0.267015\pi\) |
−0.950717 | + | 0.310059i | \(0.899651\pi\) | |||||||
\(938\) | −22.1871 | − | 47.5804i | −0.724434 | − | 1.55355i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 13.3274 | − | 10.3547i | 0.434692 | − | 0.337733i | ||||
\(941\) | 2.59435 | + | 7.12792i | 0.0845735 | + | 0.232364i | 0.974769 | − | 0.223214i | \(-0.0716549\pi\) |
−0.890196 | + | 0.455578i | \(0.849433\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −18.1517 | − | 12.7099i | −0.591100 | − | 0.413893i | ||||
\(944\) | 2.07182 | 0.0674319 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.0734704 | −0.00238873 | ||||||||
\(947\) | 16.9682 | + | 11.8813i | 0.551393 | + | 0.386089i | 0.815811 | − | 0.578319i | \(-0.196291\pi\) |
−0.264418 | + | 0.964408i | \(0.585180\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.35910 | − | 3.73411i | −0.0441184 | − | 0.121214i | ||||
\(950\) | −86.7509 | − | 30.3954i | −2.81457 | − | 0.986158i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 7.97949 | + | 17.1121i | 0.258617 | + | 0.554606i | ||||
\(953\) | −8.62530 | + | 32.1900i | −0.279401 | + | 1.04274i | 0.673434 | + | 0.739248i | \(0.264819\pi\) |
−0.952835 | + | 0.303490i | \(0.901848\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.869909 | + | 17.5024i | 0.0281496 | + | 0.566366i | ||||
\(956\) | 43.1237 | + | 51.3928i | 1.39472 | + | 1.66216i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 9.32860 | + | 13.3226i | 0.301394 | + | 0.430435i | ||||
\(959\) | 1.64529 | − | 9.33089i | 0.0531291 | − | 0.301310i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 3.74384 | − | 3.14145i | 0.120769 | − | 0.101337i | ||||
\(962\) | −1.48381 | − | 5.53765i | −0.0478400 | − | 0.178541i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 20.0626 | − | 11.5831i | 0.646173 | − | 0.373068i | ||||
\(965\) | −35.1733 | − | 22.1109i | −1.13227 | − | 0.711776i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −1.31002 | − | 14.9736i | −0.0421275 | − | 0.481519i | −0.987727 | − | 0.156188i | \(-0.950080\pi\) |
0.945600 | − | 0.325332i | \(-0.105476\pi\) | |||||||
\(968\) | −39.3903 | − | 18.3680i | −1.26605 | − | 0.590369i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 49.1516 | − | 45.5872i | 1.57816 | − | 1.46372i | ||||
\(971\) | − | 29.8876i | − | 0.959139i | −0.877504 | − | 0.479570i | \(-0.840793\pi\) | ||
0.877504 | − | 0.479570i | \(-0.159207\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −9.32220 | + | 9.32220i | −0.298856 | + | 0.298856i | ||||
\(974\) | 6.85958 | + | 38.9026i | 0.219795 | + | 1.24652i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 13.3018 | − | 4.84146i | 0.425780 | − | 0.154971i | ||||
\(977\) | 38.8342 | − | 3.39755i | 1.24242 | − | 0.108697i | 0.553074 | − | 0.833132i | \(-0.313455\pi\) |
0.689343 | + | 0.724435i | \(0.257899\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.00889204 | + | 0.0244307i | −0.000284191 | + | 0.000780808i | ||||
\(980\) | −4.18615 | + | 8.16126i | −0.133722 | + | 0.260702i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 38.2380 | − | 10.2458i | 1.22022 | − | 0.326958i | ||||
\(983\) | 27.8303 | + | 2.43483i | 0.887648 | + | 0.0776592i | 0.521852 | − | 0.853036i | \(-0.325241\pi\) |
0.365796 | + | 0.930695i | \(0.380797\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5.68015 | + | 13.9504i | −0.180985 | + | 0.444496i | ||||
\(986\) | −46.2994 | − | 8.16383i | −1.47447 | − | 0.259989i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 3.40704 | − | 38.9426i | 0.108392 | − | 1.23893i | ||||
\(989\) | 26.6744 | − | 46.2015i | 0.848198 | − | 1.46912i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −19.0981 | − | 33.0789i | −0.606672 | − | 1.05079i | −0.991785 | − | 0.127917i | \(-0.959171\pi\) |
0.385113 | − | 0.922870i | \(-0.374163\pi\) | |||||||
\(992\) | 16.0453 | − | 7.48204i | 0.509438 | − | 0.237555i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 35.6498 | − | 42.4858i | 1.13074 | − | 1.34757i | ||||
\(995\) | −12.1886 | + | 16.0843i | −0.386404 | + | 0.509907i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −4.38139 | + | 6.25727i | −0.138760 | + | 0.198170i | −0.882517 | − | 0.470280i | \(-0.844153\pi\) |
0.743757 | + | 0.668450i | \(0.233042\pi\) | |||||||
\(998\) | 46.8702 | + | 46.8702i | 1.48365 | + | 1.48365i | ||||
\(999\) | 0 | 0 |
(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 | 405.2.r.a.152.2 | 192 | ||
3.2 | odd | 2 | 135.2.q.a.122.15 | yes | 192 | ||
5.3 | odd | 4 | inner | 405.2.r.a.233.2 | 192 | ||
15.2 | even | 4 | 675.2.ba.b.68.2 | 192 | |||
15.8 | even | 4 | 135.2.q.a.68.15 | yes | 192 | ||
15.14 | odd | 2 | 675.2.ba.b.257.2 | 192 | |||
27.2 | odd | 18 | inner | 405.2.r.a.332.2 | 192 | ||
27.25 | even | 9 | 135.2.q.a.2.15 | ✓ | 192 | ||
135.52 | odd | 36 | 675.2.ba.b.218.2 | 192 | |||
135.79 | even | 18 | 675.2.ba.b.407.2 | 192 | |||
135.83 | even | 36 | inner | 405.2.r.a.8.2 | 192 | ||
135.133 | odd | 36 | 135.2.q.a.83.15 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.2.q.a.2.15 | ✓ | 192 | 27.25 | even | 9 | ||
135.2.q.a.68.15 | yes | 192 | 15.8 | even | 4 | ||
135.2.q.a.83.15 | yes | 192 | 135.133 | odd | 36 | ||
135.2.q.a.122.15 | yes | 192 | 3.2 | odd | 2 | ||
405.2.r.a.8.2 | 192 | 135.83 | even | 36 | inner | ||
405.2.r.a.152.2 | 192 | 1.1 | even | 1 | trivial | ||
405.2.r.a.233.2 | 192 | 5.3 | odd | 4 | inner | ||
405.2.r.a.332.2 | 192 | 27.2 | odd | 18 | inner | ||
675.2.ba.b.68.2 | 192 | 15.2 | even | 4 | |||
675.2.ba.b.218.2 | 192 | 135.52 | odd | 36 | |||
675.2.ba.b.257.2 | 192 | 15.14 | odd | 2 | |||
675.2.ba.b.407.2 | 192 | 135.79 | even | 18 |