Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [297,2,Mod(107,297)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(297, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("297.107");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 297 = 3^{3} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 297.k (of order \(10\), 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: | \(2.37155694003\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 215.4 | ||
Character | \(\chi\) | \(=\) | 297.215 |
Dual form | 297.2.k.a.134.4 |
$q$-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 \(\left(\mathbb{Z}/297\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(244\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.191808 | − | 0.590323i | −0.135629 | − | 0.417422i | 0.860059 | − | 0.510195i | \(-0.170427\pi\) |
−0.995687 | + | 0.0927733i | \(0.970427\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.30634 | − | 0.949113i | 0.653171 | − | 0.474557i | ||||
\(5\) | −3.55080 | − | 1.15372i | −1.58796 | − | 0.515961i | −0.623872 | − | 0.781526i | \(-0.714441\pi\) |
−0.964093 | + | 0.265565i | \(0.914441\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.30394 | − | 1.79472i | −0.492844 | − | 0.678341i | 0.488066 | − | 0.872807i | \(-0.337703\pi\) |
−0.980909 | + | 0.194466i | \(0.937703\pi\) | |||||||
\(8\) | −1.81517 | − | 1.31880i | −0.641759 | − | 0.466265i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.31741i | 0.732830i | ||||||||
\(11\) | 0.692107 | + | 3.24361i | 0.208678 | + | 0.977984i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.86699 | + | 1.90630i | −1.62721 | + | 0.528713i | −0.973628 | − | 0.228141i | \(-0.926735\pi\) |
−0.653584 | + | 0.756854i | \(0.726735\pi\) | |||||||
\(14\) | −0.809360 | + | 1.11399i | −0.216311 | + | 0.297726i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.567603 | − | 1.74690i | 0.141901 | − | 0.436726i | ||||
\(17\) | 0.0962825 | − | 0.296327i | 0.0233519 | − | 0.0718699i | −0.938701 | − | 0.344731i | \(-0.887970\pi\) |
0.962053 | + | 0.272861i | \(0.0879700\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.44540 | − | 1.98943i | 0.331598 | − | 0.456406i | −0.610366 | − | 0.792120i | \(-0.708977\pi\) |
0.941964 | + | 0.335714i | \(0.108977\pi\) | |||||||
\(20\) | −5.73357 | + | 1.86295i | −1.28207 | + | 0.416568i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.78203 | − | 1.03072i | 0.379929 | − | 0.219749i | ||||
\(23\) | − | 8.92408i | − | 1.86080i | −0.366548 | − | 0.930399i | \(-0.619460\pi\) | ||
0.366548 | − | 0.930399i | \(-0.380540\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 7.23200 | + | 5.25435i | 1.44640 | + | 1.05087i | ||||
\(26\) | 2.25067 | + | 3.09778i | 0.441393 | + | 0.607525i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −3.40679 | − | 1.10693i | −0.643822 | − | 0.209191i | ||||
\(29\) | 5.34066 | − | 3.88022i | 0.991736 | − | 0.720538i | 0.0314351 | − | 0.999506i | \(-0.489992\pi\) |
0.960300 | + | 0.278968i | \(0.0899922\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.333193 | − | 1.02546i | −0.0598433 | − | 0.184179i | 0.916666 | − | 0.399654i | \(-0.130870\pi\) |
−0.976509 | + | 0.215476i | \(0.930870\pi\) | |||||||
\(32\) | −5.62745 | −0.994802 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.193397 | −0.0331672 | ||||||||
\(35\) | 2.55942 | + | 7.87708i | 0.432621 | + | 1.33147i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.01593 | + | 2.19120i | −0.495815 | + | 0.360231i | −0.807416 | − | 0.589982i | \(-0.799135\pi\) |
0.311601 | + | 0.950213i | \(0.399135\pi\) | |||||||
\(38\) | −1.45165 | − | 0.471668i | −0.235488 | − | 0.0765147i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 4.92377 | + | 6.77699i | 0.778516 | + | 1.07154i | ||||
\(41\) | −3.38021 | − | 2.45587i | −0.527900 | − | 0.383542i | 0.291672 | − | 0.956519i | \(-0.405789\pi\) |
−0.819572 | + | 0.572977i | \(0.805789\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 4.75812i | − | 0.725607i | −0.931866 | − | 0.362803i | \(-0.881820\pi\) | ||
0.931866 | − | 0.362803i | \(-0.118180\pi\) | |||||||
\(44\) | 3.98268 | + | 3.58037i | 0.600412 | + | 0.539762i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −5.26809 | + | 1.71171i | −0.776738 | + | 0.252377i | ||||
\(47\) | 0.846838 | − | 1.16557i | 0.123524 | − | 0.170016i | −0.742776 | − | 0.669539i | \(-0.766491\pi\) |
0.866300 | + | 0.499523i | \(0.166491\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.642357 | − | 1.97697i | 0.0917653 | − | 0.282425i | ||||
\(50\) | 1.71462 | − | 5.27704i | 0.242483 | − | 0.746287i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −5.85501 | + | 8.05873i | −0.811943 | + | 1.11754i | ||||
\(53\) | 5.61052 | − | 1.82297i | 0.770664 | − | 0.250404i | 0.102815 | − | 0.994701i | \(-0.467215\pi\) |
0.667849 | + | 0.744297i | \(0.267215\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.28469 | − | 12.3159i | 0.173228 | − | 1.66067i | ||||
\(56\) | 4.97736i | 0.665127i | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.31496 | − | 2.40846i | −0.435276 | − | 0.316246i | ||||
\(59\) | 3.28830 | + | 4.52596i | 0.428101 | + | 0.589230i | 0.967516 | − | 0.252810i | \(-0.0813547\pi\) |
−0.539415 | + | 0.842040i | \(0.681355\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.43139 | − | 0.465088i | −0.183271 | − | 0.0595484i | 0.215944 | − | 0.976406i | \(-0.430717\pi\) |
−0.399215 | + | 0.916857i | \(0.630717\pi\) | |||||||
\(62\) | −0.541446 | + | 0.393383i | −0.0687637 | + | 0.0499597i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.0558176 | − | 0.171789i | −0.00697720 | − | 0.0214736i | ||||
\(65\) | 23.0319 | 2.85675 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.79751 | 0.341770 | 0.170885 | − | 0.985291i | \(-0.445337\pi\) | ||||
0.170885 | + | 0.985291i | \(0.445337\pi\) | |||||||
\(68\) | −0.155470 | − | 0.478488i | −0.0188535 | − | 0.0580251i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 4.15911 | − | 3.02177i | 0.497109 | − | 0.361171i | ||||
\(71\) | 6.47873 | + | 2.10507i | 0.768884 | + | 0.249826i | 0.667087 | − | 0.744980i | \(-0.267541\pi\) |
0.101797 | + | 0.994805i | \(0.467541\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.66251 | + | 7.79378i | 0.662747 | + | 0.912193i | 0.999568 | − | 0.0293753i | \(-0.00935180\pi\) |
−0.336821 | + | 0.941569i | \(0.609352\pi\) | |||||||
\(74\) | 1.87199 | + | 1.36008i | 0.217615 | + | 0.158107i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | − | 3.97073i | − | 0.455473i | ||||||
\(77\) | 4.91890 | − | 5.47161i | 0.560561 | − | 0.623548i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.73172 | + | 1.53743i | −0.532360 | + | 0.172974i | −0.562847 | − | 0.826561i | \(-0.690294\pi\) |
0.0304872 | + | 0.999535i | \(0.490294\pi\) | |||||||
\(80\) | −4.03089 | + | 5.54804i | −0.450667 | + | 0.620290i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.801405 | + | 2.46647i | −0.0885004 | + | 0.272376i | ||||
\(83\) | −4.13920 | + | 12.7392i | −0.454337 | + | 1.39830i | 0.417576 | + | 0.908642i | \(0.362880\pi\) |
−0.871912 | + | 0.489662i | \(0.837120\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.683759 | + | 0.941114i | −0.0741641 | + | 0.102078i | ||||
\(86\) | −2.80883 | + | 0.912645i | −0.302884 | + | 0.0984130i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.02137 | − | 6.80044i | 0.322079 | − | 0.724930i | ||||
\(89\) | − | 3.05090i | − | 0.323394i | −0.986840 | − | 0.161697i | \(-0.948303\pi\) | ||
0.986840 | − | 0.161697i | \(-0.0516968\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 11.0715 | + | 8.04392i | 1.16061 | + | 0.843231i | ||||
\(92\) | −8.46996 | − | 11.6579i | −0.883054 | − | 1.21542i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.850495 | − | 0.276342i | −0.0877218 | − | 0.0285026i | ||||
\(95\) | −7.42759 | + | 5.39646i | −0.762054 | + | 0.553665i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.54792 | − | 13.9971i | −0.461772 | − | 1.42119i | −0.862998 | − | 0.505208i | \(-0.831416\pi\) |
0.401226 | − | 0.915979i | \(-0.368584\pi\) | |||||||
\(98\) | −1.29026 | −0.130336 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 14.4344 | 1.44344 | ||||||||
\(101\) | −2.02523 | − | 6.23302i | −0.201518 | − | 0.620209i | −0.999838 | − | 0.0179758i | \(-0.994278\pi\) |
0.798320 | − | 0.602233i | \(-0.205722\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.08858 | − | 5.15015i | 0.698458 | − | 0.507460i | −0.180971 | − | 0.983488i | \(-0.557924\pi\) |
0.879430 | + | 0.476029i | \(0.157924\pi\) | |||||||
\(104\) | 13.1636 | + | 4.27712i | 1.29080 | + | 0.419406i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.15228 | − | 2.96236i | −0.209048 | − | 0.287730i | ||||
\(107\) | −0.618545 | − | 0.449399i | −0.0597970 | − | 0.0434451i | 0.557485 | − | 0.830187i | \(-0.311766\pi\) |
−0.617282 | + | 0.786742i | \(0.711766\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 4.39272i | − | 0.420746i | −0.977621 | − | 0.210373i | \(-0.932532\pi\) | ||
0.977621 | − | 0.210373i | \(-0.0674678\pi\) | |||||||
\(110\) | −7.51677 | + | 1.60390i | −0.716696 | + | 0.152926i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −3.87533 | + | 1.25917i | −0.366184 | + | 0.118980i | ||||
\(113\) | 3.53549 | − | 4.86618i | 0.332591 | − | 0.457772i | −0.609668 | − | 0.792657i | \(-0.708697\pi\) |
0.942259 | + | 0.334885i | \(0.108697\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −10.2959 | + | 31.6876i | −0.960100 | + | 2.95488i | ||||
\(116\) | 3.29397 | − | 10.1378i | 0.305837 | − | 0.941269i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.04106 | − | 2.80928i | 0.187895 | − | 0.258615i | ||||
\(119\) | −0.657371 | + | 0.213593i | −0.0602611 | + | 0.0195800i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.0420 | + | 4.48985i | −0.912907 | + | 0.408168i | ||||
\(122\) | 0.934192i | 0.0845778i | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.40854 | − | 1.02337i | −0.126491 | − | 0.0919011i | ||||
\(125\) | −8.64472 | − | 11.8984i | −0.773207 | − | 1.06423i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −10.7264 | − | 3.48521i | −0.951811 | − | 0.309262i | −0.208360 | − | 0.978052i | \(-0.566813\pi\) |
−0.743451 | + | 0.668790i | \(0.766813\pi\) | |||||||
\(128\) | −9.19611 | + | 6.68137i | −0.812829 | + | 0.590555i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.41769 | − | 13.5962i | −0.387457 | − | 1.19247i | ||||
\(131\) | −17.1821 | −1.50121 | −0.750603 | − | 0.660754i | \(-0.770237\pi\) | ||||
−0.750603 | + | 0.660754i | \(0.770237\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.45519 | −0.473025 | ||||||||
\(134\) | −0.536583 | − | 1.65143i | −0.0463537 | − | 0.142662i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.565564 | + | 0.410906i | −0.0484967 | + | 0.0352349i | ||||
\(137\) | −1.29299 | − | 0.420119i | −0.110468 | − | 0.0358932i | 0.253261 | − | 0.967398i | \(-0.418497\pi\) |
−0.363729 | + | 0.931505i | \(0.618497\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.09084 | + | 9.75970i | 0.601437 | + | 0.827807i | 0.995839 | − | 0.0911310i | \(-0.0290482\pi\) |
−0.394402 | + | 0.918938i | \(0.629048\pi\) | |||||||
\(140\) | 10.8197 | + | 7.86099i | 0.914433 | + | 0.664375i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | − | 4.22832i | − | 0.354833i | ||||||
\(143\) | −10.2439 | − | 17.7109i | −0.856637 | − | 1.48106i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −23.4403 | + | 7.61622i | −1.94661 | + | 0.632492i | ||||
\(146\) | 3.51474 | − | 4.83762i | 0.290882 | − | 0.400365i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.86014 | + | 5.72491i | −0.152902 | + | 0.470585i | ||||
\(149\) | −4.51772 | + | 13.9041i | −0.370106 | + | 1.13907i | 0.576616 | + | 0.817016i | \(0.304373\pi\) |
−0.946721 | + | 0.322053i | \(0.895627\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.63511 | + | 2.25054i | −0.133064 | + | 0.183146i | −0.870349 | − | 0.492435i | \(-0.836107\pi\) |
0.737286 | + | 0.675581i | \(0.236107\pi\) | |||||||
\(152\) | −5.24730 | + | 1.70495i | −0.425613 | + | 0.138290i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −4.17351 | − | 1.85425i | −0.336311 | − | 0.149419i | ||||
\(155\) | 4.02562i | 0.323346i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 14.3225 | + | 10.4059i | 1.14306 | + | 0.830479i | 0.987542 | − | 0.157355i | \(-0.0502966\pi\) |
0.155514 | + | 0.987834i | \(0.450297\pi\) | |||||||
\(158\) | 1.81516 | + | 2.49836i | 0.144406 | + | 0.198758i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 19.9819 | + | 6.49253i | 1.57971 | + | 0.513279i | ||||
\(161\) | −16.0162 | + | 11.6365i | −1.26226 | + | 0.917083i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.454189 | + | 1.39785i | 0.0355748 | + | 0.109488i | 0.967267 | − | 0.253761i | \(-0.0816675\pi\) |
−0.931692 | + | 0.363249i | \(0.881668\pi\) | |||||||
\(164\) | −6.74661 | −0.526822 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 8.31416 | 0.645304 | ||||||||
\(167\) | 2.77651 | + | 8.54523i | 0.214853 | + | 0.661250i | 0.999164 | + | 0.0408818i | \(0.0130167\pi\) |
−0.784311 | + | 0.620368i | \(0.786983\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 20.2704 | − | 14.7273i | 1.55926 | − | 1.13287i | ||||
\(170\) | 0.686712 | + | 0.223126i | 0.0526684 | + | 0.0171130i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −4.51600 | − | 6.21574i | −0.344342 | − | 0.473946i | ||||
\(173\) | −5.33494 | − | 3.87606i | −0.405608 | − | 0.294691i | 0.366213 | − | 0.930531i | \(-0.380654\pi\) |
−0.771821 | + | 0.635840i | \(0.780654\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − | 19.8308i | − | 1.49907i | ||||||
\(176\) | 6.05911 | + | 0.632037i | 0.456723 | + | 0.0476416i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.80102 | + | 0.585185i | −0.134992 | + | 0.0438615i | ||||
\(179\) | 0.750385 | − | 1.03282i | 0.0560864 | − | 0.0771963i | −0.780053 | − | 0.625714i | \(-0.784808\pi\) |
0.836139 | + | 0.548518i | \(0.184808\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.39068 | − | 19.6685i | 0.475016 | − | 1.46195i | −0.370921 | − | 0.928664i | \(-0.620958\pi\) |
0.845937 | − | 0.533283i | \(-0.179042\pi\) | |||||||
\(182\) | 2.62491 | − | 8.07865i | 0.194571 | − | 0.598829i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −11.7690 | + | 16.1987i | −0.867626 | + | 1.19418i | ||||
\(185\) | 13.2370 | − | 4.30096i | 0.973203 | − | 0.316213i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.02781 | + | 0.107212i | 0.0751606 | + | 0.00784015i | ||||
\(188\) | − | 2.32638i | − | 0.169669i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 4.61032 | + | 3.34960i | 0.334468 | + | 0.243005i | ||||
\(191\) | −3.95575 | − | 5.44462i | −0.286228 | − | 0.393959i | 0.641556 | − | 0.767076i | \(-0.278289\pi\) |
−0.927784 | + | 0.373117i | \(0.878289\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 15.0175 | + | 4.87948i | 1.08098 | + | 0.351233i | 0.794756 | − | 0.606929i | \(-0.207599\pi\) |
0.286227 | + | 0.958162i | \(0.407599\pi\) | |||||||
\(194\) | −7.39047 | + | 5.36949i | −0.530605 | + | 0.385507i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.03723 | − | 3.19227i | −0.0740880 | − | 0.228019i | ||||
\(197\) | −2.09103 | −0.148980 | −0.0744900 | − | 0.997222i | \(-0.523733\pi\) | ||||
−0.0744900 | + | 0.997222i | \(0.523733\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.76773 | −0.267087 | −0.133544 | − | 0.991043i | \(-0.542636\pi\) | ||||
−0.133544 | + | 0.991043i | \(0.542636\pi\) | |||||||
\(200\) | −6.19787 | − | 19.0751i | −0.438256 | − | 1.34881i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.29104 | + | 2.39108i | −0.231557 | + | 0.168236i | ||||
\(203\) | −13.9278 | − | 4.52542i | −0.977541 | − | 0.317622i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 9.16905 | + | 12.6201i | 0.640394 | + | 0.881427i | ||||
\(206\) | −4.39990 | − | 3.19671i | −0.306556 | − | 0.222726i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 11.3311i | 0.785670i | ||||||||
\(209\) | 7.45330 | + | 3.31142i | 0.515555 | + | 0.229056i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.3564 | + | 3.36499i | −0.712963 | + | 0.231656i | −0.642970 | − | 0.765892i | \(-0.722298\pi\) |
−0.0699935 | + | 0.997547i | \(0.522298\pi\) | |||||||
\(212\) | 5.59905 | − | 7.70644i | 0.384545 | − | 0.529280i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.146649 | + | 0.451340i | −0.0100247 | + | 0.0308530i | ||||
\(215\) | −5.48956 | + | 16.8951i | −0.374385 | + | 1.15224i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.40596 | + | 1.93513i | −0.0954425 | + | 0.131365i | ||||
\(218\) | −2.59312 | + | 0.842557i | −0.175628 | + | 0.0570651i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −10.0109 | − | 17.3081i | −0.674937 | − | 1.16691i | ||||
\(221\) | 1.92209i | 0.129294i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −9.18792 | − | 6.67541i | −0.615269 | − | 0.447019i | 0.235997 | − | 0.971754i | \(-0.424164\pi\) |
−0.851266 | + | 0.524735i | \(0.824164\pi\) | |||||||
\(224\) | 7.33787 | + | 10.0997i | 0.490282 | + | 0.674815i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.55076 | − | 1.15371i | −0.236193 | − | 0.0767437i | ||||
\(227\) | 8.66753 | − | 6.29733i | 0.575284 | − | 0.417968i | −0.261737 | − | 0.965139i | \(-0.584295\pi\) |
0.837021 | + | 0.547171i | \(0.184295\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −6.07986 | − | 18.7119i | −0.401769 | − | 1.23652i | −0.923563 | − | 0.383446i | \(-0.874737\pi\) |
0.521795 | − | 0.853071i | \(-0.325263\pi\) | |||||||
\(230\) | 20.6808 | 1.36365 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −14.8114 | −0.972417 | ||||||||
\(233\) | −6.22888 | − | 19.1705i | −0.408068 | − | 1.25590i | −0.918306 | − | 0.395871i | \(-0.870443\pi\) |
0.510238 | − | 0.860033i | \(-0.329557\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.35170 | + | 3.16169i | −0.283874 | + | 0.206246i | ||||
\(236\) | 8.59130 | + | 2.79148i | 0.559246 | + | 0.181710i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.252178 | + | 0.347093i | 0.0163463 | + | 0.0224987i | ||||
\(239\) | 13.9139 | + | 10.1090i | 0.900015 | + | 0.653899i | 0.938470 | − | 0.345361i | \(-0.112244\pi\) |
−0.0384552 | + | 0.999260i | \(0.512244\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 20.5296i | − | 1.32243i | −0.750196 | − | 0.661215i | \(-0.770041\pi\) | ||
0.750196 | − | 0.661215i | \(-0.229959\pi\) | |||||||
\(242\) | 4.57659 | + | 5.06683i | 0.294194 | + | 0.325708i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.31131 | + | 0.750990i | −0.147966 | + | 0.0480772i | ||||
\(245\) | −4.56176 | + | 6.27872i | −0.291440 | + | 0.401133i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −4.68773 | + | 14.4273i | −0.298273 | + | 0.917990i | ||||
\(248\) | −0.747576 | + | 2.30080i | −0.0474711 | + | 0.146101i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −5.36580 | + | 7.38539i | −0.339363 | + | 0.467093i | ||||
\(251\) | −6.04667 | + | 1.96468i | −0.381662 | + | 0.124010i | −0.493563 | − | 0.869710i | \(-0.664306\pi\) |
0.111901 | + | 0.993719i | \(0.464306\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 28.9462 | − | 6.17642i | 1.81983 | − | 0.388308i | ||||
\(254\) | 7.00052i | 0.439252i | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 5.41579 | + | 3.93480i | 0.338487 | + | 0.245925i | ||||
\(257\) | 8.13615 | + | 11.1984i | 0.507519 | + | 0.698540i | 0.983498 | − | 0.180916i | \(-0.0579063\pi\) |
−0.475979 | + | 0.879456i | \(0.657906\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 7.86519 | + | 2.55555i | 0.488719 | + | 0.158794i | ||||
\(260\) | 30.0875 | − | 21.8598i | 1.86595 | − | 1.35569i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.29566 | + | 10.1430i | 0.203606 | + | 0.626636i | ||||
\(263\) | −15.4355 | −0.951791 | −0.475896 | − | 0.879502i | \(-0.657876\pi\) | ||||
−0.475896 | + | 0.879502i | \(0.657876\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −22.0250 | −1.35299 | ||||||||
\(266\) | 1.04635 | + | 3.22033i | 0.0641557 | + | 0.197451i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 3.65450 | − | 2.65515i | 0.223234 | − | 0.162189i | ||||
\(269\) | −5.84229 | − | 1.89827i | −0.356211 | − | 0.115740i | 0.125445 | − | 0.992101i | \(-0.459964\pi\) |
−0.481655 | + | 0.876361i | \(0.659964\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.0715 | + | 15.2386i | 0.672546 | + | 0.925680i | 0.999815 | − | 0.0192514i | \(-0.00612829\pi\) |
−0.327269 | + | 0.944931i | \(0.606128\pi\) | |||||||
\(272\) | −0.463004 | − | 0.336392i | −0.0280738 | − | 0.0203968i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.843867i | 0.0509798i | ||||||||
\(275\) | −12.0377 | + | 27.0943i | −0.725903 | + | 1.63385i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 5.21611 | − | 1.69482i | 0.313405 | − | 0.101832i | −0.148091 | − | 0.988974i | \(-0.547313\pi\) |
0.461496 | + | 0.887142i | \(0.347313\pi\) | |||||||
\(278\) | 4.40130 | − | 6.05787i | 0.263973 | − | 0.363327i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 5.74250 | − | 17.6736i | 0.343180 | − | 1.05620i | ||||
\(281\) | 8.06510 | − | 24.8218i | 0.481124 | − | 1.48075i | −0.356394 | − | 0.934336i | \(-0.615994\pi\) |
0.837518 | − | 0.546410i | \(-0.184006\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 10.1368 | − | 13.9521i | 0.602571 | − | 0.829367i | −0.393370 | − | 0.919380i | \(-0.628691\pi\) |
0.995941 | + | 0.0900130i | \(0.0286908\pi\) | |||||||
\(284\) | 10.4614 | − | 3.39911i | 0.620770 | − | 0.201700i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −8.49028 | + | 9.44429i | −0.502041 | + | 0.558452i | ||||
\(287\) | 9.26884i | 0.547122i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 13.6747 | + | 9.93529i | 0.804397 | + | 0.584429i | ||||
\(290\) | 8.99206 | + | 12.3765i | 0.528032 | + | 0.726774i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 14.7944 | + | 4.80698i | 0.865775 | + | 0.281307i | ||||
\(293\) | 21.9665 | − | 15.9596i | 1.28330 | − | 0.932369i | 0.283648 | − | 0.958928i | \(-0.408455\pi\) |
0.999647 | + | 0.0265597i | \(0.00845521\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.45439 | − | 19.8646i | −0.375789 | − | 1.15656i | ||||
\(296\) | 8.36416 | 0.486157 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 9.07446 | 0.525669 | ||||||||
\(299\) | 17.0120 | + | 52.3575i | 0.983828 | + | 3.02791i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.53951 | + | 6.20431i | −0.492209 | + | 0.357611i | ||||
\(302\) | 1.64217 | + | 0.533574i | 0.0944964 | + | 0.0307037i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.65492 | − | 3.65419i | −0.152270 | − | 0.209582i | ||||
\(305\) | 4.54600 | + | 3.30286i | 0.260303 | + | 0.189121i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 14.5585i | 0.830895i | 0.909617 | + | 0.415448i | \(0.136375\pi\) | ||||
−0.909617 | + | 0.415448i | \(0.863625\pi\) | |||||||
\(308\) | 1.23259 | − | 11.8164i | 0.0702334 | − | 0.673302i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.37642 | − | 0.772146i | 0.134972 | − | 0.0438549i | ||||
\(311\) | −2.57524 | + | 3.54451i | −0.146028 | + | 0.200991i | −0.875765 | − | 0.482737i | \(-0.839643\pi\) |
0.729737 | + | 0.683728i | \(0.239643\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.74230 | + | 5.36224i | −0.0984805 | + | 0.303092i | −0.988145 | − | 0.153523i | \(-0.950938\pi\) |
0.889665 | + | 0.456615i | \(0.150938\pi\) | |||||||
\(314\) | 3.39567 | − | 10.4508i | 0.191629 | − | 0.589773i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.72205 | + | 6.49935i | −0.265636 | + | 0.365617i | ||||
\(317\) | 15.1307 | − | 4.91625i | 0.849823 | − | 0.276124i | 0.148451 | − | 0.988920i | \(-0.452571\pi\) |
0.701372 | + | 0.712796i | \(0.252571\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 16.2822 | + | 14.6375i | 0.911629 | + | 0.819541i | ||||
\(320\) | 0.674386i | 0.0376993i | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 9.94132 | + | 7.22279i | 0.554008 | + | 0.402510i | ||||
\(323\) | −0.450354 | − | 0.619859i | −0.0250584 | − | 0.0344899i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −52.4465 | − | 17.0409i | −2.90921 | − | 0.945259i | ||||
\(326\) | 0.738067 | − | 0.536237i | 0.0408777 | − | 0.0296994i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.89686 | + | 8.91562i | 0.159952 | + | 0.492283i | ||||
\(329\) | −3.19610 | −0.176207 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 19.7855 | 1.08751 | 0.543755 | − | 0.839244i | \(-0.317002\pi\) | ||||
0.543755 | + | 0.839244i | \(0.317002\pi\) | |||||||
\(332\) | 6.68369 | + | 20.5703i | 0.366815 | + | 1.12894i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 4.51189 | − | 3.27808i | 0.246880 | − | 0.179369i | ||||
\(335\) | −9.93338 | − | 3.22755i | −0.542718 | − | 0.176340i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −14.0306 | − | 19.3115i | −0.764296 | − | 1.05196i | −0.996845 | − | 0.0793789i | \(-0.974706\pi\) |
0.232548 | − | 0.972585i | \(-0.425294\pi\) | |||||||
\(338\) | −12.5819 | − | 9.14129i | −0.684365 | − | 0.497221i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.87838i | 0.101870i | ||||||||
\(341\) | 3.09559 | − | 1.79048i | 0.167636 | − | 0.0969598i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −19.1545 | + | 6.22366i | −1.03424 | + | 0.336046i | ||||
\(344\) | −6.27500 | + | 8.63680i | −0.338325 | + | 0.465665i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.26485 | + | 3.89280i | −0.0679986 | + | 0.209278i | ||||
\(347\) | 5.36202 | − | 16.5026i | 0.287848 | − | 0.885905i | −0.697682 | − | 0.716407i | \(-0.745785\pi\) |
0.985530 | − | 0.169498i | \(-0.0542147\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −6.55774 | + | 9.02596i | −0.351028 | + | 0.483148i | −0.947622 | − | 0.319395i | \(-0.896520\pi\) |
0.596594 | + | 0.802543i | \(0.296520\pi\) | |||||||
\(350\) | −11.7066 | + | 3.80370i | −0.625743 | + | 0.203316i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −3.89480 | − | 18.2532i | −0.207594 | − | 0.972901i | ||||
\(353\) | − | 23.4457i | − | 1.24789i | −0.781469 | − | 0.623944i | \(-0.785529\pi\) | ||
0.781469 | − | 0.623944i | \(-0.214471\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −20.5760 | − | 14.9493i | −1.09206 | − | 0.793429i | ||||
\(356\) | −2.89565 | − | 3.98551i | −0.153469 | − | 0.211232i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.753625 | − | 0.244868i | −0.0398303 | − | 0.0129417i | ||||
\(359\) | 14.8582 | − | 10.7951i | 0.784184 | − | 0.569743i | −0.122048 | − | 0.992524i | \(-0.538946\pi\) |
0.906232 | + | 0.422781i | \(0.138946\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.00269 | + | 12.3190i | 0.210668 | + | 0.648370i | ||||
\(362\) | −12.8366 | −0.674674 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 22.0978 | 1.15824 | ||||||||
\(365\) | −11.1146 | − | 34.2071i | −0.581763 | − | 1.79048i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −10.9221 | + | 7.93538i | −0.570130 | + | 0.414223i | −0.835152 | − | 0.550019i | \(-0.814621\pi\) |
0.265023 | + | 0.964242i | \(0.414621\pi\) | |||||||
\(368\) | −15.5895 | − | 5.06533i | −0.812659 | − | 0.264049i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −5.07791 | − | 6.98915i | −0.263988 | − | 0.363348i | ||||
\(371\) | −10.5875 | − | 7.69227i | −0.549676 | − | 0.399363i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 28.2829i | 1.46443i | 0.681073 | + | 0.732215i | \(0.261514\pi\) | ||||
−0.681073 | + | 0.732215i | \(0.738486\pi\) | |||||||
\(374\) | −0.133851 | − | 0.627302i | −0.00692128 | − | 0.0324370i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −3.07431 | + | 0.998903i | −0.158545 | + | 0.0515145i | ||||
\(377\) | −23.9368 | + | 32.9461i | −1.23281 | + | 1.69681i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.0682032 | + | 0.209908i | −0.00350336 | + | 0.0107822i | −0.952793 | − | 0.303621i | \(-0.901804\pi\) |
0.949290 | + | 0.314403i | \(0.101804\pi\) | |||||||
\(380\) | −4.58112 | + | 14.0992i | −0.235007 | + | 0.723276i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.45534 | + | 3.37949i | −0.125626 | + | 0.172910i | ||||
\(383\) | −36.6998 | + | 11.9245i | −1.87527 | + | 0.609313i | −0.885906 | + | 0.463866i | \(0.846462\pi\) |
−0.989366 | + | 0.145447i | \(0.953538\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −23.7788 | + | 13.7535i | −1.21188 | + | 0.700945i | ||||
\(386\) | − | 9.80110i | − | 0.498863i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −19.2260 | − | 13.9685i | −0.976050 | − | 0.709142i | ||||
\(389\) | 21.3708 | + | 29.4144i | 1.08354 | + | 1.49137i | 0.855561 | + | 0.517702i | \(0.173213\pi\) |
0.227981 | + | 0.973665i | \(0.426787\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.64444 | − | 0.859232i | −0.133735 | − | 0.0434532i | ||||
\(392\) | −3.77321 | + | 2.74140i | −0.190576 | + | 0.138462i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.401076 | + | 1.23439i | 0.0202059 | + | 0.0621875i | ||||
\(395\) | 18.5752 | 0.934617 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 22.4527 | 1.12687 | 0.563434 | − | 0.826161i | \(-0.309480\pi\) | ||||
0.563434 | + | 0.826161i | \(0.309480\pi\) | |||||||
\(398\) | 0.722679 | + | 2.22418i | 0.0362246 | + | 0.111488i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 13.2838 | − | 9.65121i | 0.664188 | − | 0.482561i | ||||
\(401\) | −26.1789 | − | 8.50604i | −1.30731 | − | 0.424772i | −0.429193 | − | 0.903213i | \(-0.641202\pi\) |
−0.878120 | + | 0.478441i | \(0.841202\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.90968 | + | 5.38122i | 0.194755 | + | 0.268058i | ||||
\(404\) | −8.56149 | − | 6.22029i | −0.425950 | − | 0.309471i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 9.08993i | 0.451126i | ||||||||
\(407\) | −9.19474 | − | 8.26594i | −0.455766 | − | 0.409727i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 38.0007 | − | 12.3472i | 1.87901 | − | 0.610529i | 0.891496 | − | 0.453029i | \(-0.149657\pi\) |
0.987519 | − | 0.157500i | \(-0.0503434\pi\) | |||||||
\(410\) | 5.69125 | − | 7.83334i | 0.281071 | − | 0.386861i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 4.37203 | − | 13.4557i | 0.215395 | − | 0.662916i | ||||
\(413\) | 3.83509 | − | 11.8032i | 0.188712 | − | 0.580797i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 29.3949 | − | 40.4587i | 1.44294 | − | 1.98604i | ||||
\(416\) | 33.0162 | − | 10.7276i | 1.61875 | − | 0.525965i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.525212 | − | 5.03501i | 0.0256889 | − | 0.246271i | ||||
\(419\) | 25.3455i | 1.23821i | 0.785308 | + | 0.619105i | \(0.212505\pi\) | ||||
−0.785308 | + | 0.619105i | \(0.787495\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.0521 | + | 8.75640i | 0.587386 | + | 0.426761i | 0.841379 | − | 0.540445i | \(-0.181744\pi\) |
−0.253993 | + | 0.967206i | \(0.581744\pi\) | |||||||
\(422\) | 3.97287 | + | 5.46819i | 0.193396 | + | 0.266187i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −12.5882 | − | 4.09014i | −0.611335 | − | 0.198635i | ||||
\(425\) | 2.25332 | − | 1.63713i | 0.109302 | − | 0.0794127i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.03175 | + | 3.17540i | 0.0499298 | + | 0.153668i | ||||
\(428\) | −1.23456 | −0.0596748 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 11.0265 | 0.531747 | ||||||||
\(431\) | −4.81473 | − | 14.8182i | −0.231917 | − | 0.713768i | −0.997515 | − | 0.0704489i | \(-0.977557\pi\) |
0.765598 | − | 0.643319i | \(-0.222443\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −8.59479 | + | 6.24448i | −0.413039 | + | 0.300091i | −0.774831 | − | 0.632168i | \(-0.782165\pi\) |
0.361792 | + | 0.932259i | \(0.382165\pi\) | |||||||
\(434\) | 1.41203 | + | 0.458796i | 0.0677795 | + | 0.0220229i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −4.16918 | − | 5.73839i | −0.199668 | − | 0.274819i | ||||
\(437\) | −17.7538 | − | 12.8989i | −0.849280 | − | 0.617038i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 17.8131i | − | 0.850171i | −0.905153 | − | 0.425085i | \(-0.860244\pi\) | ||
0.905153 | − | 0.425085i | \(-0.139756\pi\) | |||||||
\(440\) | −18.5741 | + | 20.6612i | −0.885486 | + | 0.984983i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.13466 | − | 0.368672i | 0.0539701 | − | 0.0175359i | ||||
\(443\) | −10.7668 | + | 14.8192i | −0.511545 | + | 0.704081i | −0.984179 | − | 0.177178i | \(-0.943303\pi\) |
0.472634 | + | 0.881259i | \(0.343303\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.51989 | + | 10.8331i | −0.166859 | + | 0.513539i | ||||
\(446\) | −2.17834 | + | 6.70424i | −0.103147 | + | 0.317455i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.235530 | + | 0.324180i | −0.0111278 | + | 0.0153161i | ||||
\(449\) | 13.4434 | − | 4.36802i | 0.634433 | − | 0.206140i | 0.0258953 | − | 0.999665i | \(-0.491756\pi\) |
0.608538 | + | 0.793525i | \(0.291756\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.62640 | − | 12.6638i | 0.264937 | − | 0.596315i | ||||
\(452\) | − | 9.71248i | − | 0.456837i | ||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −5.37996 | − | 3.90877i | −0.252494 | − | 0.183448i | ||||
\(455\) | −30.0322 | − | 41.3358i | −1.40793 | − | 1.93785i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.23043 | + | 2.67423i | 0.385003 | + | 0.125095i | 0.495122 | − | 0.868823i | \(-0.335123\pi\) |
−0.110119 | + | 0.993918i | \(0.535123\pi\) | |||||||
\(458\) | −9.87990 | + | 7.17817i | −0.461658 | + | 0.335414i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 16.6251 | + | 51.1668i | 0.775150 | + | 2.38567i | ||||
\(461\) | −36.2682 | −1.68918 | −0.844590 | − | 0.535414i | \(-0.820155\pi\) | ||||
−0.844590 | + | 0.535414i | \(0.820155\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −28.3027 | −1.31534 | −0.657669 | − | 0.753307i | \(-0.728457\pi\) | ||||
−0.657669 | + | 0.753307i | \(0.728457\pi\) | |||||||
\(464\) | −3.74699 | − | 11.5320i | −0.173949 | − | 0.535361i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −10.1221 | + | 7.35411i | −0.468896 | + | 0.340673i | ||||
\(467\) | 26.4483 | + | 8.59356i | 1.22388 | + | 0.397662i | 0.848493 | − | 0.529206i | \(-0.177510\pi\) |
0.375386 | + | 0.926869i | \(0.377510\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −3.64778 | − | 5.02074i | −0.168439 | − | 0.231836i | ||||
\(470\) | 2.70111 | + | 1.96247i | 0.124593 | + | 0.0905221i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | − | 12.5520i | − | 0.577752i | ||||||
\(473\) | 15.4335 | − | 3.29313i | 0.709632 | − | 0.151418i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 20.9063 | − | 6.79287i | 0.959248 | − | 0.311678i | ||||
\(476\) | −0.656028 | + | 0.902945i | −0.0300690 | + | 0.0413864i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 3.29881 | − | 10.1527i | 0.150884 | − | 0.464373i | ||||
\(479\) | 2.29132 | − | 7.05195i | 0.104693 | − | 0.322212i | −0.884965 | − | 0.465657i | \(-0.845818\pi\) |
0.989658 | + | 0.143445i | \(0.0458181\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 13.5173 | − | 18.6050i | 0.616338 | − | 0.848316i | ||||
\(482\) | −12.1191 | + | 3.93774i | −0.552011 | + | 0.179359i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −8.85688 | + | 15.3963i | −0.402585 | + | 0.699830i | ||||
\(485\) | 54.9478i | 2.49505i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 15.0683 | + | 10.9477i | 0.682808 | + | 0.496089i | 0.874288 | − | 0.485408i | \(-0.161329\pi\) |
−0.191480 | + | 0.981496i | \(0.561329\pi\) | |||||||
\(488\) | 1.98486 | + | 2.73193i | 0.0898505 | + | 0.123669i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 4.58146 | + | 1.48861i | 0.206969 | + | 0.0672484i | ||||
\(491\) | 17.2824 | − | 12.5564i | 0.779944 | − | 0.566662i | −0.125018 | − | 0.992154i | \(-0.539899\pi\) |
0.904962 | + | 0.425492i | \(0.139899\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.635601 | − | 1.95618i | −0.0286260 | − | 0.0881019i | ||||
\(494\) | 9.41594 | 0.423643 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.98051 | −0.0889273 | ||||||||
\(497\) | −4.66988 | − | 14.3724i | −0.209473 | − | 0.644691i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −9.66639 | + | 7.02304i | −0.432727 | + | 0.314395i | −0.782738 | − | 0.622351i | \(-0.786178\pi\) |
0.350011 | + | 0.936745i | \(0.386178\pi\) | |||||||
\(500\) | −22.5859 | − | 7.33861i | −1.01007 | − | 0.328193i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 2.31959 | + | 3.19265i | 0.103529 | + | 0.142495i | ||||
\(503\) | 21.5801 | + | 15.6789i | 0.962210 | + | 0.699087i | 0.953663 | − | 0.300877i | \(-0.0972792\pi\) |
0.00854739 | + | 0.999963i | \(0.497279\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 24.4688i | 1.08885i | ||||||||
\(506\) | −9.19819 | − | 15.9029i | −0.408909 | − | 0.706972i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −17.3202 | + | 5.62766i | −0.768458 | + | 0.249687i | ||||
\(509\) | 15.2021 | − | 20.9240i | 0.673823 | − | 0.927438i | −0.326016 | − | 0.945364i | \(-0.605706\pi\) |
0.999839 | + | 0.0179260i | \(0.00570632\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.60408 | − | 20.3253i | 0.292147 | − | 0.899137i | ||||
\(512\) | −5.74119 | + | 17.6696i | −0.253727 | + | 0.780892i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 5.05013 | − | 6.95091i | 0.222752 | − | 0.306591i | ||||
\(515\) | −31.1120 | + | 10.1089i | −1.37096 | + | 0.445451i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.36676 | + | 1.94011i | 0.192050 | + | 0.0853259i | ||||
\(518\) | − | 5.13318i | − | 0.225539i | ||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −41.8067 | − | 30.3743i | −1.83335 | − | 1.33200i | ||||
\(521\) | −13.0853 | − | 18.0103i | −0.573276 | − | 0.789047i | 0.419662 | − | 0.907680i | \(-0.362149\pi\) |
−0.992938 | + | 0.118634i | \(0.962149\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −27.2570 | − | 8.85633i | −1.19186 | − | 0.387260i | −0.355103 | − | 0.934827i | \(-0.615554\pi\) |
−0.836762 | + | 0.547567i | \(0.815554\pi\) | |||||||
\(524\) | −22.4457 | + | 16.3077i | −0.980544 | + | 0.712407i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.96064 | + | 9.11191i | 0.129090 | + | 0.397298i | ||||
\(527\) | −0.335953 | −0.0146343 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −56.6391 | −2.46257 | ||||||||
\(530\) | 4.22457 | + | 13.0019i | 0.183503 | + | 0.564766i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −7.12635 | + | 5.17759i | −0.308966 | + | 0.224477i | ||||
\(533\) | 24.5133 | + | 7.96485i | 1.06179 | + | 0.344996i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.67785 | + | 2.30936i | 0.0725396 | + | 0.0998422i | ||||
\(536\) | −5.07795 | − | 3.68934i | −0.219334 | − | 0.159355i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 3.81294i | 0.164388i | ||||||||
\(539\) | 6.85710 | + | 0.715277i | 0.295356 | + | 0.0308092i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 27.0426 | − | 8.78666i | 1.16265 | − | 0.377768i | 0.336755 | − | 0.941592i | \(-0.390670\pi\) |
0.825895 | + | 0.563824i | \(0.190670\pi\) | |||||||
\(542\) | 6.87211 | − | 9.45865i | 0.295182 | − | 0.406284i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.541825 | + | 1.66757i | −0.0232306 | + | 0.0714963i | ||||
\(545\) | −5.06798 | + | 15.5976i | −0.217088 | + | 0.668130i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.5010 | − | 14.4534i | 0.448991 | − | 0.617983i | −0.523189 | − | 0.852217i | \(-0.675258\pi\) |
0.972180 | + | 0.234233i | \(0.0752579\pi\) | |||||||
\(548\) | −2.08783 | + | 0.678378i | −0.0891878 | + | 0.0289789i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 18.3034 | + | 1.90926i | 0.780458 | + | 0.0814110i | ||||
\(551\) | − | 16.2333i | − | 0.691563i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 8.92915 | + | 6.48740i | 0.379706 | + | 0.275872i | ||||
\(554\) | −2.00098 | − | 2.75411i | −0.0850134 | − | 0.117011i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 18.5261 | + | 6.01950i | 0.785683 | + | 0.255284i | ||||
\(557\) | −27.7784 | + | 20.1822i | −1.17701 | + | 0.855148i | −0.991831 | − | 0.127556i | \(-0.959287\pi\) |
−0.185179 | + | 0.982705i | \(0.559287\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.07042 | + | 27.9159i | 0.383638 | + | 1.18072i | ||||
\(560\) | 15.2132 | 0.642876 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −16.1999 | −0.683350 | ||||||||
\(563\) | 0.0303872 | + | 0.0935222i | 0.00128067 | + | 0.00394149i | 0.951695 | − | 0.307046i | \(-0.0993404\pi\) |
−0.950414 | + | 0.310987i | \(0.899340\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −18.1680 | + | 13.1999i | −0.764335 | + | 0.555322i | ||||
\(566\) | −10.1806 | − | 3.30787i | −0.427922 | − | 0.139040i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −8.98384 | − | 12.3652i | −0.376953 | − | 0.518832i | ||||
\(569\) | 28.2745 | + | 20.5427i | 1.18533 | + | 0.861193i | 0.992763 | − | 0.120091i | \(-0.0383185\pi\) |
0.192568 | + | 0.981284i | \(0.438318\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 8.92780i | − | 0.373617i | −0.982396 | − | 0.186808i | \(-0.940186\pi\) | ||
0.982396 | − | 0.186808i | \(-0.0598144\pi\) | |||||||
\(572\) | −30.1916 | − | 13.4138i | −1.26238 | − | 0.560861i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 5.47161 | − | 1.77784i | 0.228381 | − | 0.0742054i | ||||
\(575\) | 46.8903 | − | 64.5389i | 1.95546 | − | 2.69146i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1.57214 | + | 4.83854i | −0.0654489 | + | 0.201431i | −0.978433 | − | 0.206564i | \(-0.933772\pi\) |
0.912984 | + | 0.407995i | \(0.133772\pi\) | |||||||
\(578\) | 3.24211 | − | 9.97819i | 0.134854 | − | 0.415038i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −23.3924 | + | 32.1969i | −0.971317 | + | 1.33690i | ||||
\(581\) | 28.2605 | − | 9.18240i | 1.17244 | − | 0.380950i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 9.79607 | + | 16.9366i | 0.405712 | + | 0.701443i | ||||
\(584\) | − | 21.6147i | − | 0.894424i | ||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −13.6347 | − | 9.90616i | −0.563242 | − | 0.409220i | ||||
\(587\) | −2.01322 | − | 2.77096i | −0.0830945 | − | 0.114370i | 0.765446 | − | 0.643500i | \(-0.222518\pi\) |
−0.848541 | + | 0.529130i | \(0.822518\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.52168 | − | 0.819344i | −0.103904 | − | 0.0337605i | ||||
\(590\) | −10.4885 | + | 7.62036i | −0.431806 | + | 0.313725i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 2.11596 | + | 6.51226i | 0.0869655 | + | 0.267652i | ||||
\(593\) | −16.6897 | −0.685365 | −0.342683 | − | 0.939451i | \(-0.611336\pi\) | ||||
−0.342683 | + | 0.939451i | \(0.611336\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.58062 | 0.105795 | ||||||||
\(596\) | 7.29489 | + | 22.4514i | 0.298810 | + | 0.919643i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 27.6448 | − | 20.0851i | 1.13048 | − | 0.821343i | ||||
\(599\) | 45.8771 | + | 14.9064i | 1.87449 | + | 0.609058i | 0.989718 | + | 0.143029i | \(0.0456843\pi\) |
0.884770 | + | 0.466029i | \(0.154316\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 11.1155 | + | 15.2991i | 0.453409 | + | 0.624065i | 0.973126 | − | 0.230274i | \(-0.0739624\pi\) |
−0.519716 | + | 0.854339i | \(0.673962\pi\) | |||||||
\(602\) | 5.30050 | + | 3.85104i | 0.216032 | + | 0.156956i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 4.49188i | 0.182772i | ||||||||
\(605\) | 40.8371 | − | 4.35688i | 1.66026 | − | 0.177132i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 34.0815 | − | 11.0738i | 1.38333 | − | 0.449470i | 0.479565 | − | 0.877506i | \(-0.340794\pi\) |
0.903762 | + | 0.428036i | \(0.140794\pi\) | |||||||
\(608\) | −8.13394 | + | 11.1954i | −0.329875 | + | 0.454034i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.07780 | − | 3.31713i | 0.0436388 | − | 0.134307i | ||||
\(611\) | −2.74646 | + | 8.45274i | −0.111110 | + | 0.341961i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.393669 | + | 0.541839i | −0.0159002 | + | 0.0218847i | −0.816893 | − | 0.576789i | \(-0.804305\pi\) |
0.800993 | + | 0.598674i | \(0.204305\pi\) | |||||||
\(614\) | 8.59420 | − | 2.79243i | 0.346834 | − | 0.112693i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −16.1446 | + | 3.44487i | −0.650484 | + | 0.138798i | ||||
\(617\) | − | 10.8544i | − | 0.436981i | −0.975839 | − | 0.218490i | \(-0.929887\pi\) | ||
0.975839 | − | 0.218490i | \(-0.0701132\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −22.4415 | − | 16.3047i | −0.901998 | − | 0.655340i | 0.0369803 | − | 0.999316i | \(-0.488226\pi\) |
−0.938978 | + | 0.343976i | \(0.888226\pi\) | |||||||
\(620\) | 3.82077 | + | 5.25884i | 0.153446 | + | 0.211200i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 2.58636 | + | 0.840360i | 0.103704 | + | 0.0336953i | ||||
\(623\) | −5.47551 | + | 3.97819i | −0.219372 | + | 0.159383i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.15625 | + | 9.71394i | 0.126250 | + | 0.388557i | ||||
\(626\) | 3.49964 | 0.139874 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 28.5864 | 1.14072 | ||||||||
\(629\) | 0.358931 | + | 1.10467i | 0.0143115 | + | 0.0440463i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −35.5496 | + | 25.8283i | −1.41521 | + | 1.02821i | −0.422667 | + | 0.906285i | \(0.638906\pi\) |
−0.992540 | + | 0.121923i | \(0.961094\pi\) | |||||||
\(632\) | 10.6164 | + | 3.44949i | 0.422299 | + | 0.137213i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −5.80436 | − | 7.98901i | −0.230520 | − | 0.317284i | ||||
\(635\) | 34.0662 | + | 24.7505i | 1.35188 | + | 0.982195i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 12.8234i | 0.508082i | ||||||||
\(638\) | 5.51779 | − | 12.4193i | 0.218451 | − | 0.491687i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 40.3620 | − | 13.1144i | 1.59545 | − | 0.518392i | ||||
\(641\) | −8.28166 | + | 11.3987i | −0.327106 | + | 0.450223i | −0.940620 | − | 0.339461i | \(-0.889755\pi\) |
0.613514 | + | 0.789684i | \(0.289755\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9.04036 | − | 27.8234i | 0.356517 | − | 1.09725i | −0.598608 | − | 0.801042i | \(-0.704279\pi\) |
0.955125 | − | 0.296204i | \(-0.0957209\pi\) | |||||||
\(644\) | −9.87835 | + | 30.4024i | −0.389262 | + | 1.19802i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.279536 | + | 0.384748i | −0.0109982 | + | 0.0151377i | ||||
\(647\) | 39.3432 | − | 12.7834i | 1.54674 | − | 0.502566i | 0.593513 | − | 0.804824i | \(-0.297740\pi\) |
0.953226 | + | 0.302258i | \(0.0977405\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −12.4046 | + | 13.7984i | −0.486923 | + | 0.541635i | ||||
\(650\) | 34.2290i | 1.34257i | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.92004 | + | 1.39499i | 0.0751947 | + | 0.0546322i | ||||
\(653\) | 16.0547 | + | 22.0973i | 0.628267 | + | 0.864735i | 0.997922 | − | 0.0644337i | \(-0.0205241\pi\) |
−0.369655 | + | 0.929169i | \(0.620524\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 61.0101 | + | 19.8234i | 2.38386 | + | 0.774564i | ||||
\(656\) | −6.20878 | + | 4.51094i | −0.242412 | + | 0.176123i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.613038 | + | 1.88674i | 0.0238987 | + | 0.0735526i | ||||
\(659\) | −0.641792 | −0.0250007 | −0.0125003 | − | 0.999922i | \(-0.503979\pi\) | ||||
−0.0125003 | + | 0.999922i | \(0.503979\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.24156 | −0.320559 | −0.160280 | − | 0.987072i | \(-0.551240\pi\) | ||||
−0.160280 | + | 0.987072i | \(0.551240\pi\) | |||||||
\(662\) | −3.79501 | − | 11.6798i | −0.147497 | − | 0.453950i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 24.3137 | − | 17.6650i | 0.943555 | − | 0.685533i | ||||
\(665\) | 19.3703 | + | 6.29378i | 0.751147 | + | 0.244063i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −34.6273 | − | 47.6604i | −1.34078 | − | 1.84542i | ||||
\(668\) | 11.7375 | + | 8.52777i | 0.454136 | + | 0.329949i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 6.48298i | 0.250459i | ||||||||
\(671\) | 0.517884 | − | 4.96476i | 0.0199927 | − | 0.191663i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.0956 | − | 4.57995i | 0.543346 | − | 0.176544i | −0.0244679 | − | 0.999701i | \(-0.507789\pi\) |
0.567814 | + | 0.823157i | \(0.307789\pi\) | |||||||
\(674\) | −8.70884 | + | 11.9867i | −0.335452 | + | 0.461710i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 12.5022 | − | 38.4778i | 0.480854 | − | 1.47992i | ||||
\(677\) | 1.94580 | − | 5.98854i | 0.0747830 | − | 0.230158i | −0.906677 | − | 0.421826i | \(-0.861389\pi\) |
0.981460 | + | 0.191667i | \(0.0613894\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −19.1906 | + | 26.4136i | −0.736468 | + | 1.01366i | ||||
\(680\) | 2.48228 | − | 0.806541i | 0.0951910 | − | 0.0309294i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −1.65072 | − | 1.48397i | −0.0632093 | − | 0.0568243i | ||||
\(683\) | − | 14.1497i | − | 0.541422i | −0.962661 | − | 0.270711i | \(-0.912741\pi\) | ||
0.962661 | − | 0.270711i | \(-0.0872588\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 4.10646 | + | 2.98352i | 0.156900 | + | 0.113994i | ||||
\(686\) | 7.34795 | + | 10.1136i | 0.280546 | + | 0.386138i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −8.31198 | − | 2.70073i | −0.316891 | − | 0.102964i | ||||
\(689\) | −29.4417 | + | 21.3907i | −1.12164 | + | 0.814920i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.95871 | − | 24.4944i | −0.302764 | − | 0.931811i | −0.980502 | − | 0.196508i | \(-0.937040\pi\) |
0.677739 | − | 0.735303i | \(-0.262960\pi\) | |||||||
\(692\) | −10.6481 | −0.404779 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −10.7703 | −0.408837 | ||||||||
\(695\) | −13.9181 | − | 42.8356i | −0.527945 | − | 1.62485i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.05319 | + | 0.765191i | −0.0398926 | + | 0.0289837i | ||||
\(698\) | 6.58606 | + | 2.13994i | 0.249286 | + | 0.0809979i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −18.8217 | − | 25.9058i | −0.711392 | − | 0.979148i | ||||
\(701\) | −8.55571 | − | 6.21609i | −0.323145 | − | 0.234778i | 0.414371 | − | 0.910108i | \(-0.364001\pi\) |
−0.737516 | + | 0.675329i | \(0.764001\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 9.16714i | 0.345745i | ||||||||
\(704\) | 0.518584 | − | 0.299947i | 0.0195449 | − | 0.0113047i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −13.8405 | + | 4.49706i | −0.520896 | + | 0.169249i | ||||
\(707\) | −8.54575 | + | 11.7622i | −0.321396 | + | 0.442364i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −8.05868 | + | 24.8021i | −0.302650 | + | 0.931461i | 0.677894 | + | 0.735160i | \(0.262893\pi\) |
−0.980544 | + | 0.196301i | \(0.937107\pi\) | |||||||
\(710\) | −4.87831 | + | 15.0139i | −0.183080 | + | 0.563462i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.02351 | + | 5.53789i | −0.150788 | + | 0.207541i | ||||
\(713\) | −9.15131 | + | 2.97344i | −0.342719 | + | 0.111356i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 15.9405 | + | 74.7063i | 0.596142 | + | 2.79386i | ||||
\(716\) | − | 2.06141i | − | 0.0770386i | ||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −9.22251 | − | 6.70055i | −0.344181 | − | 0.250062i | ||||
\(719\) | −8.91625 | − | 12.2722i | −0.332520 | − | 0.457675i | 0.609718 | − | 0.792618i | \(-0.291283\pi\) |
−0.942238 | + | 0.334944i | \(0.891283\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −18.4862 | − | 6.00653i | −0.688461 | − | 0.223695i | ||||
\(722\) | 6.50446 | − | 4.72577i | 0.242071 | − | 0.175875i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −10.3192 | − | 31.7593i | −0.383510 | − | 1.18032i | ||||
\(725\) | 59.0117 | 2.19164 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −16.5646 | −0.614347 | −0.307174 | − | 0.951653i | \(-0.599383\pi\) | ||||
−0.307174 | + | 0.951653i | \(0.599383\pi\) | |||||||
\(728\) | −9.48835 | − | 29.2021i | −0.351662 | − | 1.08230i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −18.0614 | + | 13.1224i | −0.668483 | + | 0.485681i | ||||
\(731\) | −1.40996 | − | 0.458124i | −0.0521493 | − | 0.0169443i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −13.2990 | − | 18.3045i | −0.491209 | − | 0.676092i | 0.489401 | − | 0.872059i | \(-0.337215\pi\) |
−0.980610 | + | 0.195967i | \(0.937215\pi\) | |||||||
\(734\) | 6.77939 | + | 4.92551i | 0.250232 | + | 0.181804i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 50.2198i | 1.85113i | ||||||||
\(737\) | 1.93618 | + | 9.07401i | 0.0713199 | + | 0.334245i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −29.5613 | + | 9.60506i | −1.08743 | + | 0.353328i | −0.797253 | − | 0.603645i | \(-0.793714\pi\) |
−0.290178 | + | 0.956973i | \(0.593714\pi\) | |||||||
\(740\) | 13.2099 | − | 18.1819i | 0.485607 | − | 0.668381i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −2.51016 | + | 7.72549i | −0.0921510 | + | 0.283612i | ||||
\(743\) | 14.5400 | − | 44.7495i | 0.533420 | − | 1.64170i | −0.213617 | − | 0.976917i | \(-0.568524\pi\) |
0.747037 | − | 0.664782i | \(-0.231476\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 32.0830 | − | 44.1585i | 1.17543 | − | 1.61784i | ||||
\(746\) | 16.6960 | − | 5.42487i | 0.611285 | − | 0.198619i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.44442 | − | 0.835448i | 0.0528134 | − | 0.0305470i | ||||
\(749\) | 1.69611i | 0.0619744i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −29.5479 | − | 21.4678i | −1.07822 | − | 0.783373i | −0.100848 | − | 0.994902i | \(-0.532156\pi\) |
−0.977372 | + | 0.211529i | \(0.932156\pi\) | |||||||
\(752\) | −1.55547 | − | 2.14093i | −0.0567223 | − | 0.0780715i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 24.0401 | + | 7.81111i | 0.875490 | + | 0.284464i | ||||
\(755\) | 8.40245 | − | 6.10474i | 0.305796 | − | 0.222174i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −8.52322 | − | 26.2318i | −0.309782 | − | 0.953409i | −0.977849 | − | 0.209309i | \(-0.932878\pi\) |
0.668068 | − | 0.744100i | \(-0.267122\pi\) | |||||||
\(758\) | 0.136995 | 0.00497590 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 20.5992 | 0.747210 | ||||||||
\(761\) | 16.2865 | + | 50.1246i | 0.590384 | + | 1.81701i | 0.576480 | + | 0.817111i | \(0.304426\pi\) |
0.0139037 | + | 0.999903i | \(0.495574\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −7.88370 | + | 5.72784i | −0.285409 | + | 0.207362i | ||||
\(764\) | −10.3351 | − | 3.35808i | −0.373912 | − | 0.121491i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 14.0786 | + | 19.3775i | 0.508681 | + | 0.700139i | ||||
\(767\) | −27.9203 | − | 20.2853i | −1.00814 | − | 0.732460i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 18.1315i | − | 0.653839i | −0.945052 | − | 0.326919i | \(-0.893989\pi\) | ||
0.945052 | − | 0.326919i | \(-0.106011\pi\) | |||||||
\(770\) | 12.6800 | + | 11.3991i | 0.456955 | + | 0.410796i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 24.2492 | − | 7.87903i | 0.872746 | − | 0.283573i | ||||
\(773\) | −8.15106 | + | 11.2190i | −0.293173 | + | 0.403518i | −0.930042 | − | 0.367454i | \(-0.880229\pi\) |
0.636868 | + | 0.770973i | \(0.280229\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.97849 | − | 9.16686i | 0.106991 | − | 0.329283i | ||||
\(776\) | −10.2040 | + | 31.4048i | −0.366304 | + | 1.12737i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 13.2649 | − | 18.2576i | 0.475570 | − | 0.654566i | ||||
\(779\) | −9.77154 | + | 3.17496i | −0.350102 | + | 0.113755i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2.34403 | + | 22.4714i | −0.0838761 | + | 0.804090i | ||||
\(782\) | 1.72589i | 0.0617175i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −3.08897 | − | 2.24427i | −0.110320 | − | 0.0801525i | ||||
\(785\) | −38.8506 | − | 53.4733i | −1.38664 | − | 1.90854i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −0.638949 | − | 0.207607i | −0.0227761 | − | 0.00740040i | 0.297607 | − | 0.954689i | \(-0.403812\pi\) |
−0.320383 | + | 0.947288i | \(0.603812\pi\) | |||||||
\(788\) | −2.73161 | + | 1.98463i | −0.0973094 | + | 0.0706994i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −3.56286 | − | 10.9653i | −0.126761 | − | 0.390130i | ||||
\(791\) | −13.3435 | −0.474441 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 9.28457 | 0.329705 | ||||||||
\(794\) | −4.30660 | − | 13.2544i | −0.152836 | − | 0.470379i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −4.92194 | + | 3.57600i | −0.174454 | + | 0.126748i | ||||
\(797\) | 4.99857 | + | 1.62413i | 0.177058 | + | 0.0575297i | 0.396204 | − | 0.918162i | \(-0.370327\pi\) |
−0.219146 | + | 0.975692i | \(0.570327\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.263855 | − | 0.363165i | −0.00933452 | − | 0.0128479i | ||||
\(800\) | −40.6977 | − | 29.5686i | −1.43888 | − | 1.04541i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 17.0856i | 0.603312i | ||||||||
\(803\) | −21.3609 | + | 23.7611i | −0.753810 | + | 0.838511i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 70.2957 | − | 22.8404i | 2.47760 | − | 0.805020i | ||||
\(806\) | 2.42675 | − | 3.34014i | 0.0854787 | − | 0.117651i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −4.54395 | + | 13.9849i | −0.159856 | + | 0.491985i | ||||
\(809\) | 8.82483 | − | 27.1600i | 0.310265 | − | 0.954896i | −0.667395 | − | 0.744704i | \(-0.732591\pi\) |
0.977660 | − | 0.210193i | \(-0.0674091\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 13.6775 | − | 18.8255i | 0.480283 | − | 0.661053i | −0.498276 | − | 0.867018i | \(-0.666033\pi\) |
0.978559 | + | 0.205965i | \(0.0660335\pi\) | |||||||
\(812\) | −22.4896 | + | 7.30733i | −0.789231 | + | 0.256437i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −3.11596 | + | 7.01334i | −0.109214 | + | 0.245817i | ||||
\(815\) | − | 5.48749i | − | 0.192218i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −9.46594 | − | 6.87741i | −0.331171 | − | 0.240610i | ||||
\(818\) | −14.5777 | − | 20.0644i | −0.509696 | − | 0.701536i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 23.9558 | + | 7.78372i | 0.836574 | + | 0.271819i | ||||
\(821\) | −17.3792 | + | 12.6267i | −0.606539 | + | 0.440677i | −0.848194 | − | 0.529686i | \(-0.822310\pi\) |
0.241655 | + | 0.970362i | \(0.422310\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 14.9710 | + | 46.0760i | 0.521856 | + | 1.60611i | 0.770450 | + | 0.637501i | \(0.220032\pi\) |
−0.248593 | + | 0.968608i | \(0.579968\pi\) | |||||||
\(824\) | −19.6590 | −0.684853 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −7.70329 | −0.268032 | ||||||||
\(827\) | 12.2819 | + | 37.7998i | 0.427084 | + | 1.31443i | 0.900985 | + | 0.433851i | \(0.142845\pi\) |
−0.473901 | + | 0.880578i | \(0.657155\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 27.8772 | − | 20.2540i | 0.968215 | − | 0.703450i | 0.0131712 | − | 0.999913i | \(-0.495807\pi\) |
0.955044 | + | 0.296464i | \(0.0958074\pi\) | |||||||
\(830\) | −29.5219 | − | 9.59224i | −1.02472 | − | 0.332952i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.654963 | + | 0.901480i | 0.0227068 | + | 0.0312532i | ||||
\(833\) | −0.523982 | − | 0.380695i | −0.0181549 | − | 0.0131903i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 33.5457i | − | 1.16090i | ||||||
\(836\) | 12.8795 | − | 2.74817i | 0.445446 | − | 0.0950474i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 14.9621 | − | 4.86147i | 0.516856 | − | 0.167937i | ||||
\(839\) | 15.4394 | − | 21.2505i | 0.533026 | − | 0.733647i | −0.454562 | − | 0.890715i | \(-0.650204\pi\) |
0.987588 | + | 0.157068i | \(0.0502042\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 4.50507 | − | 13.8652i | 0.155347 | − | 0.478110i | ||||
\(842\) | 2.85741 | − | 8.79421i | 0.0984729 | − | 0.303068i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −10.3352 | + | 14.2252i | −0.355753 | + | 0.489652i | ||||
\(845\) | −88.9674 | + | 28.9073i | −3.06057 | + | 0.994440i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 21.1522 | + | 12.1680i | 0.726797 | + | 0.418099i | ||||
\(848\) | − | 10.8358i | − | 0.372101i | ||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −1.39864 | − | 1.01617i | −0.0479731 | − | 0.0348545i | ||||
\(851\) | 19.5544 | + | 26.9144i | 0.670317 | + | 0.922612i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −38.7864 | − | 12.6025i | −1.32802 | − | 0.431500i | −0.442779 | − | 0.896631i | \(-0.646007\pi\) |
−0.885242 | + | 0.465131i | \(0.846007\pi\) | |||||||
\(854\) | 1.67661 | − | 1.21813i | 0.0573726 | − | 0.0416836i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.530097 | + | 1.63147i | 0.0181183 | + | 0.0557625i | ||||
\(857\) | 45.9406 | 1.56930 | 0.784651 | − | 0.619938i | \(-0.212842\pi\) | ||||
0.784651 | + | 0.619938i | \(0.212842\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −18.2550 | −0.622853 | −0.311427 | − | 0.950270i | \(-0.600807\pi\) | ||||
−0.311427 | + | 0.950270i | \(0.600807\pi\) | |||||||
\(860\) | 8.86415 | + | 27.2810i | 0.302265 | + | 0.930276i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −7.82404 | + | 5.68449i | −0.266488 | + | 0.193615i | ||||
\(863\) | −18.5553 | − | 6.02899i | −0.631631 | − | 0.205229i | −0.0243334 | − | 0.999704i | \(-0.507746\pi\) |
−0.607297 | + | 0.794475i | \(0.707746\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 14.4714 | + | 19.9181i | 0.492042 | + | 0.677237i | ||||
\(866\) | 5.33481 | + | 3.87597i | 0.181284 | + | 0.131711i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 3.86236i | 0.131097i | ||||||||
\(869\) | −8.26168 | − | 14.2838i | −0.280258 | − | 0.484544i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −16.4130 | + | 5.33289i | −0.556132 | + | 0.180698i | ||||
\(872\) | −5.79310 | + | 7.97352i | −0.196179 | + | 0.270017i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −4.20920 | + | 12.9546i | −0.142378 | + | 0.438196i | ||||
\(875\) | −10.0822 | + | 31.0297i | −0.340840 | + | 1.04900i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 12.0397 | − | 16.5713i | 0.406553 | − | 0.559572i | −0.555821 | − | 0.831302i | \(-0.687596\pi\) |
0.962373 | + | 0.271730i | \(0.0875959\pi\) | |||||||
\(878\) | −10.5155 | + | 3.41668i | −0.354880 | + | 0.115307i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −20.7855 | − | 9.23478i | −0.700678 | − | 0.311304i | ||||
\(881\) | − | 38.0577i | − | 1.28220i | −0.767459 | − | 0.641099i | \(-0.778479\pi\) | ||
0.767459 | − | 0.641099i | \(-0.221521\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 17.6981 | + | 12.8584i | 0.595590 | + | 0.432721i | 0.844311 | − | 0.535854i | \(-0.180010\pi\) |
−0.248721 | + | 0.968575i | \(0.580010\pi\) | |||||||
\(884\) | 1.82428 | + | 2.51091i | 0.0613573 | + | 0.0844511i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 10.8133 | + | 3.51344i | 0.363279 | + | 0.118036i | ||||
\(887\) | 27.4074 | − | 19.9127i | 0.920251 | − | 0.668602i | −0.0233353 | − | 0.999728i | \(-0.507429\pi\) |
0.943587 | + | 0.331126i | \(0.107429\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 7.73158 | + | 23.7954i | 0.259309 | + | 0.798071i | ||||
\(890\) | 7.07018 | 0.236993 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −18.3383 | −0.614011 | ||||||||
\(893\) | −1.09480 | − | 3.36945i | −0.0366361 | − | 0.112754i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.85605 | + | 2.80158i | −0.128893 | + | 0.0936466i | ||||
\(896\) | 23.9824 | + | 7.79235i | 0.801195 | + | 0.260324i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −5.15709 | − | 7.09813i | −0.172094 | − | 0.236868i | ||||
\(899\) | −5.75849 | − | 4.18379i | −0.192056 | − | 0.139537i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 1.83807i | − | 0.0612349i | ||||||
\(902\) | −8.55492 | − | 0.892380i | −0.284848 | − | 0.0297130i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −12.8350 | + | 4.17035i | −0.426886 | + | 0.138704i | ||||
\(905\) | −45.3840 | + | 62.4658i | −1.50862 | + | 2.07643i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −5.02928 | + | 15.4785i | −0.166995 | + | 0.513957i | −0.999178 | − | 0.0405443i | \(-0.987091\pi\) |
0.832183 | + | 0.554501i | \(0.187091\pi\) | |||||||
\(908\) | 5.34588 | − | 16.4529i | 0.177409 | − | 0.546010i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −18.6411 | + | 25.6572i | −0.617945 | + | 0.850529i | ||||
\(911\) | −15.7382 | + | 5.11364i | −0.521429 | + | 0.169423i | −0.557894 | − | 0.829912i | \(-0.688390\pi\) |
0.0364648 | + | 0.999335i | \(0.488390\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −44.1856 | − | 4.60908i | −1.46233 | − | 0.152538i | ||||
\(914\) | − | 5.37155i | − | 0.177675i | ||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −25.7021 | − | 18.6737i | −0.849221 | − | 0.616995i | ||||
\(917\) | 22.4044 | + | 30.8371i | 0.739860 | + | 1.01833i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 30.9592 | + | 10.0592i | 1.02125 | + | 0.331824i | 0.771325 | − | 0.636441i | \(-0.219594\pi\) |
0.249924 | + | 0.968265i | \(0.419594\pi\) | |||||||
\(920\) | 60.4783 | − | 43.9401i | 1.99391 | − | 1.44866i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 6.95652 | + | 21.4100i | 0.229101 | + | 0.705100i | ||||
\(923\) | −42.0236 | −1.38322 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −33.3245 | −1.09570 | ||||||||
\(926\) | 5.42868 | + | 16.7078i | 0.178397 | + | 0.549051i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −30.0543 | + | 21.8357i | −0.986581 | + | 0.716793i | ||||
\(929\) | −49.3237 | − | 16.0262i | −1.61826 | − | 0.525804i | −0.646728 | − | 0.762721i | \(-0.723863\pi\) |
−0.971530 | + | 0.236917i | \(0.923863\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −3.00458 | − | 4.13545i | −0.0984710 | − | 0.135534i | ||||
\(932\) | −26.3321 | − | 19.1314i | −0.862536 | − | 0.626669i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 17.2613i | − | 0.564808i | ||||||
\(935\) | −3.52584 | − | 1.56649i | −0.115307 | − | 0.0512298i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 4.46609 | − | 1.45112i | 0.145901 | − | 0.0474061i | −0.235156 | − | 0.971958i | \(-0.575560\pi\) |
0.381057 | + | 0.924552i | \(0.375560\pi\) | |||||||
\(938\) | −2.26419 | + | 3.11639i | −0.0739284 | + | 0.101754i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −2.68400 | + | 8.26051i | −0.0875425 | + | 0.269428i | ||||
\(941\) | −2.78471 | + | 8.57044i | −0.0907788 | + | 0.279388i | −0.986131 | − | 0.165971i | \(-0.946924\pi\) |
0.895352 | + | 0.445360i | \(0.146924\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −21.9163 | + | 30.1653i | −0.713694 | + | 0.982316i | ||||
\(944\) | 9.77287 | − | 3.17540i | 0.318080 | − | 0.103350i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −4.90427 | − | 8.47910i | −0.159452 | − | 0.275679i | ||||
\(947\) | − | 32.5009i | − | 1.05614i | −0.849202 | − | 0.528068i | \(-0.822916\pi\) | ||
0.849202 | − | 0.528068i | \(-0.177084\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −48.0792 | − | 34.9316i | −1.56072 | − | 1.13393i | ||||
\(950\) | −8.01999 | − | 11.0386i | −0.260203 | − | 0.358138i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.47493 | + | 0.479232i | 0.0478026 | + | 0.0155320i | ||||
\(953\) | 9.17192 | − | 6.66379i | 0.297108 | − | 0.215861i | −0.429237 | − | 0.903192i | \(-0.641218\pi\) |
0.726345 | + | 0.687331i | \(0.241218\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 7.76447 | + | 23.8966i | 0.251252 | + | 0.773275i | ||||
\(956\) | 27.7709 | 0.898176 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −4.60242 | −0.148698 | ||||||||
\(959\) | 0.931991 | + | 2.86837i | 0.0300956 | + | 0.0926246i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 24.1390 | − | 17.5380i | 0.778676 | − | 0.565742i | ||||
\(962\) | −13.5757 | − | 4.41102i | −0.437699 | − | 0.142217i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −19.4850 | − | 26.8187i | −0.627568 | − | 0.863774i | ||||
\(965\) | −47.6945 | − | 34.6521i | −1.53534 | − | 1.11549i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 4.91092i | − | 0.157925i | −0.996878 | − | 0.0789623i | \(-0.974839\pi\) | ||
0.996878 | − | 0.0789623i | \(-0.0251607\pi\) | |||||||
\(968\) | 24.1491 | + | 5.09349i | 0.776181 | + | 0.163711i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 32.4370 | − | 10.5394i | 1.04149 | − | 0.338400i | ||||
\(971\) | −6.66140 | + | 9.16863i | −0.213774 | + | 0.294235i | −0.902415 | − | 0.430867i | \(-0.858208\pi\) |
0.688641 | + | 0.725103i | \(0.258208\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 8.26991 | − | 25.4522i | 0.265121 | − | 0.815959i | ||||
\(974\) | 3.57249 | − | 10.9950i | 0.114470 | − | 0.352303i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.62493 | + | 2.23652i | −0.0520126 | + | 0.0715892i | ||||
\(977\) | 28.4040 | − | 9.22902i | 0.908724 | − | 0.295262i | 0.182891 | − | 0.983133i | \(-0.441454\pi\) |
0.725833 | + | 0.687871i | \(0.241454\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 9.89591 | − | 2.11155i | 0.316275 | − | 0.0674854i | ||||
\(980\) | 12.5318i | 0.400313i | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −10.7272 | − | 7.79379i | −0.342320 | − | 0.248710i | ||||
\(983\) | 3.95270 | + | 5.44042i | 0.126071 | + | 0.173522i | 0.867387 | − | 0.497634i | \(-0.165798\pi\) |
−0.741316 | + | 0.671157i | \(0.765798\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 7.42484 | + | 2.41248i | 0.236575 | + | 0.0768679i | ||||
\(986\) | −1.03286 | + | 0.750420i | −0.0328931 | + | 0.0238983i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 7.56940 | + | 23.2962i | 0.240815 | + | 0.741152i | ||||
\(989\) | −42.4618 | −1.35021 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −6.33993 | −0.201395 | −0.100697 | − | 0.994917i | \(-0.532107\pi\) | ||||
−0.100697 | + | 0.994917i | \(0.532107\pi\) | |||||||
\(992\) | 1.87503 | + | 5.77074i | 0.0595322 | + | 0.183221i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −7.58865 | + | 5.51348i | −0.240697 | + | 0.174877i | ||||
\(995\) | 13.3784 | + | 4.34692i | 0.424125 | + | 0.137807i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 3.96967 | + | 5.46378i | 0.125721 | + | 0.173040i | 0.867238 | − | 0.497895i | \(-0.165893\pi\) |
−0.741517 | + | 0.670934i | \(0.765893\pi\) | |||||||
\(998\) | 5.99996 | + | 4.35922i | 0.189925 | + | 0.137989i | ||||
\(999\) | 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 | 297.2.k.a.215.4 | yes | 32 | |
3.2 | odd | 2 | inner | 297.2.k.a.215.5 | yes | 32 | |
9.2 | odd | 6 | 891.2.u.e.215.5 | 64 | |||
9.4 | even | 3 | 891.2.u.e.512.5 | 64 | |||
9.5 | odd | 6 | 891.2.u.e.512.4 | 64 | |||
9.7 | even | 3 | 891.2.u.e.215.4 | 64 | |||
11.2 | odd | 10 | inner | 297.2.k.a.134.5 | yes | 32 | |
33.2 | even | 10 | inner | 297.2.k.a.134.4 | ✓ | 32 | |
99.2 | even | 30 | 891.2.u.e.134.5 | 64 | |||
99.13 | odd | 30 | 891.2.u.e.431.5 | 64 | |||
99.68 | even | 30 | 891.2.u.e.431.4 | 64 | |||
99.79 | odd | 30 | 891.2.u.e.134.4 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
297.2.k.a.134.4 | ✓ | 32 | 33.2 | even | 10 | inner | |
297.2.k.a.134.5 | yes | 32 | 11.2 | odd | 10 | inner | |
297.2.k.a.215.4 | yes | 32 | 1.1 | even | 1 | trivial | |
297.2.k.a.215.5 | yes | 32 | 3.2 | odd | 2 | inner | |
891.2.u.e.134.4 | 64 | 99.79 | odd | 30 | |||
891.2.u.e.134.5 | 64 | 99.2 | even | 30 | |||
891.2.u.e.215.4 | 64 | 9.7 | even | 3 | |||
891.2.u.e.215.5 | 64 | 9.2 | odd | 6 | |||
891.2.u.e.431.4 | 64 | 99.68 | even | 30 | |||
891.2.u.e.431.5 | 64 | 99.13 | odd | 30 | |||
891.2.u.e.512.4 | 64 | 9.5 | odd | 6 | |||
891.2.u.e.512.5 | 64 | 9.4 | even | 3 |