Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [798,2,Mod(265,798)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(798, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("798.265");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 798.e (of order \(2\), degree \(1\), 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: | \(6.37206208130\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2x^{11} + 2x^{10} + 54x^{8} - 114x^{7} + 120x^{6} + 46x^{5} + 9x^{4} - 4x^{3} + 8x^{2} + 4x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{7} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 265.4 | ||
Root | \(-0.242887 - 0.242887i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 798.265 |
Dual form | 798.2.e.a.265.9 |
$q$-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 \(\left(\mathbb{Z}/798\mathbb{Z}\right)^\times\).
\(n\) | \(115\) | \(211\) | \(533\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | 0.485775i | 0.217245i | 0.994083 | + | 0.108622i | \(0.0346440\pi\) | ||||
−0.994083 | + | 0.108622i | \(0.965356\pi\) | |||||||
\(6\) | 1.00000i | 0.408248i | ||||||||
\(7\) | 2.59339 | − | 0.523742i | 0.980211 | − | 0.197956i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 0.485775 | 0.153615 | ||||||||
\(11\) | −0.891167 | −0.268697 | −0.134348 | − | 0.990934i | \(-0.542894\pi\) | ||||
−0.134348 | + | 0.990934i | \(0.542894\pi\) | |||||||
\(12\) | 1.00000 | 0.288675 | ||||||||
\(13\) | −2.48577 | −0.689430 | −0.344715 | − | 0.938707i | \(-0.612024\pi\) | ||||
−0.344715 | + | 0.938707i | \(0.612024\pi\) | |||||||
\(14\) | −0.523742 | − | 2.59339i | −0.139976 | − | 0.693114i | ||||
\(15\) | − | 0.485775i | − | 0.125426i | ||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 5.60771i | 1.36007i | 0.733180 | + | 0.680034i | \(0.238035\pi\) | ||||
−0.733180 | + | 0.680034i | \(0.761965\pi\) | |||||||
\(18\) | − | 1.00000i | − | 0.235702i | ||||||
\(19\) | 3.47504 | − | 2.63136i | 0.797230 | − | 0.603676i | ||||
\(20\) | − | 0.485775i | − | 0.108622i | ||||||
\(21\) | −2.59339 | + | 0.523742i | −0.565925 | + | 0.114290i | ||||
\(22\) | 0.891167i | 0.189997i | ||||||||
\(23\) | 7.41755 | 1.54667 | 0.773333 | − | 0.634000i | \(-0.218588\pi\) | ||||
0.773333 | + | 0.634000i | \(0.218588\pi\) | |||||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | 4.76402 | 0.952805 | ||||||||
\(26\) | 2.48577i | 0.487500i | ||||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | −2.59339 | + | 0.523742i | −0.490105 | + | 0.0989779i | ||||
\(29\) | 2.73485i | 0.507849i | 0.967224 | + | 0.253924i | \(0.0817214\pi\) | ||||
−0.967224 | + | 0.253924i | \(0.918279\pi\) | |||||||
\(30\) | −0.485775 | −0.0886899 | ||||||||
\(31\) | −2.14079 | −0.384498 | −0.192249 | − | 0.981346i | \(-0.561578\pi\) | ||||
−0.192249 | + | 0.981346i | \(0.561578\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 0.891167 | 0.155132 | ||||||||
\(34\) | 5.60771 | 0.961714 | ||||||||
\(35\) | 0.254421 | + | 1.25980i | 0.0430049 | + | 0.212946i | ||||
\(36\) | −1.00000 | −0.166667 | ||||||||
\(37\) | − | 5.04600i | − | 0.829557i | −0.909922 | − | 0.414778i | \(-0.863859\pi\) | ||
0.909922 | − | 0.414778i | \(-0.136141\pi\) | |||||||
\(38\) | −2.63136 | − | 3.47504i | −0.426863 | − | 0.563727i | ||||
\(39\) | 2.48577 | 0.398042 | ||||||||
\(40\) | −0.485775 | −0.0768077 | ||||||||
\(41\) | 7.37545 | 1.15185 | 0.575926 | − | 0.817502i | \(-0.304642\pi\) | ||||
0.575926 | + | 0.817502i | \(0.304642\pi\) | |||||||
\(42\) | 0.523742 | + | 2.59339i | 0.0808151 | + | 0.400169i | ||||
\(43\) | 0.621571 | 0.0947887 | 0.0473944 | − | 0.998876i | \(-0.484908\pi\) | ||||
0.0473944 | + | 0.998876i | \(0.484908\pi\) | |||||||
\(44\) | 0.891167 | 0.134348 | ||||||||
\(45\) | 0.485775i | 0.0724150i | ||||||||
\(46\) | − | 7.41755i | − | 1.09366i | ||||||
\(47\) | 1.33960i | 0.195400i | 0.995216 | + | 0.0977002i | \(0.0311486\pi\) | ||||
−0.995216 | + | 0.0977002i | \(0.968851\pi\) | |||||||
\(48\) | −1.00000 | −0.144338 | ||||||||
\(49\) | 6.45139 | − | 2.71654i | 0.921627 | − | 0.388077i | ||||
\(50\) | − | 4.76402i | − | 0.673735i | ||||||
\(51\) | − | 5.60771i | − | 0.785236i | ||||||
\(52\) | 2.48577 | 0.344715 | ||||||||
\(53\) | − | 12.4495i | − | 1.71007i | −0.518569 | − | 0.855036i | \(-0.673535\pi\) | ||
0.518569 | − | 0.855036i | \(-0.326465\pi\) | |||||||
\(54\) | 1.00000i | 0.136083i | ||||||||
\(55\) | − | 0.432906i | − | 0.0583730i | ||||||
\(56\) | 0.523742 | + | 2.59339i | 0.0699880 | + | 0.346557i | ||||
\(57\) | −3.47504 | + | 2.63136i | −0.460281 | + | 0.348532i | ||||
\(58\) | 2.73485 | 0.359103 | ||||||||
\(59\) | 11.1661 | 1.45370 | 0.726848 | − | 0.686798i | \(-0.240984\pi\) | ||||
0.726848 | + | 0.686798i | \(0.240984\pi\) | |||||||
\(60\) | 0.485775i | 0.0627132i | ||||||||
\(61\) | − | 5.88429i | − | 0.753407i | −0.926334 | − | 0.376703i | \(-0.877058\pi\) | ||
0.926334 | − | 0.376703i | \(-0.122942\pi\) | |||||||
\(62\) | 2.14079i | 0.271881i | ||||||||
\(63\) | 2.59339 | − | 0.523742i | 0.326737 | − | 0.0659853i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | − | 1.20753i | − | 0.149775i | ||||||
\(66\) | − | 0.891167i | − | 0.109695i | ||||||
\(67\) | − | 8.29320i | − | 1.01318i | −0.862189 | − | 0.506588i | \(-0.830907\pi\) | ||
0.862189 | − | 0.506588i | \(-0.169093\pi\) | |||||||
\(68\) | − | 5.60771i | − | 0.680034i | ||||||
\(69\) | −7.41755 | −0.892968 | ||||||||
\(70\) | 1.25980 | − | 0.254421i | 0.150575 | − | 0.0304091i | ||||
\(71\) | 5.99757i | 0.711781i | 0.934528 | + | 0.355890i | \(0.115822\pi\) | ||||
−0.934528 | + | 0.355890i | \(0.884178\pi\) | |||||||
\(72\) | 1.00000i | 0.117851i | ||||||||
\(73\) | − | 9.16848i | − | 1.07309i | −0.843872 | − | 0.536545i | \(-0.819729\pi\) | ||
0.843872 | − | 0.536545i | \(-0.180271\pi\) | |||||||
\(74\) | −5.04600 | −0.586585 | ||||||||
\(75\) | −4.76402 | −0.550102 | ||||||||
\(76\) | −3.47504 | + | 2.63136i | −0.398615 | + | 0.301838i | ||||
\(77\) | −2.31115 | + | 0.466741i | −0.263380 | + | 0.0531901i | ||||
\(78\) | − | 2.48577i | − | 0.281459i | ||||||
\(79\) | 12.9087i | 1.45234i | 0.687513 | + | 0.726172i | \(0.258702\pi\) | ||||
−0.687513 | + | 0.726172i | \(0.741298\pi\) | |||||||
\(80\) | 0.485775i | 0.0543112i | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | − | 7.37545i | − | 0.814483i | ||||||
\(83\) | 17.4940i | 1.92022i | 0.279626 | + | 0.960109i | \(0.409790\pi\) | ||||
−0.279626 | + | 0.960109i | \(0.590210\pi\) | |||||||
\(84\) | 2.59339 | − | 0.523742i | 0.282963 | − | 0.0571449i | ||||
\(85\) | −2.72408 | −0.295468 | ||||||||
\(86\) | − | 0.621571i | − | 0.0670257i | ||||||
\(87\) | − | 2.73485i | − | 0.293207i | ||||||
\(88\) | − | 0.891167i | − | 0.0949987i | ||||||
\(89\) | −9.70397 | −1.02862 | −0.514309 | − | 0.857605i | \(-0.671952\pi\) | ||||
−0.514309 | + | 0.857605i | \(0.671952\pi\) | |||||||
\(90\) | 0.485775 | 0.0512051 | ||||||||
\(91\) | −6.44659 | + | 1.30190i | −0.675787 | + | 0.136477i | ||||
\(92\) | −7.41755 | −0.773333 | ||||||||
\(93\) | 2.14079 | 0.221990 | ||||||||
\(94\) | 1.33960 | 0.138169 | ||||||||
\(95\) | 1.27825 | + | 1.68809i | 0.131146 | + | 0.173194i | ||||
\(96\) | 1.00000i | 0.102062i | ||||||||
\(97\) | 2.53160 | 0.257045 | 0.128522 | − | 0.991707i | \(-0.458977\pi\) | ||||
0.128522 | + | 0.991707i | \(0.458977\pi\) | |||||||
\(98\) | −2.71654 | − | 6.45139i | −0.274412 | − | 0.651689i | ||||
\(99\) | −0.891167 | −0.0895656 | ||||||||
\(100\) | −4.76402 | −0.476402 | ||||||||
\(101\) | − | 1.95547i | − | 0.194577i | −0.995256 | − | 0.0972884i | \(-0.968983\pi\) | ||
0.995256 | − | 0.0972884i | \(-0.0310169\pi\) | |||||||
\(102\) | −5.60771 | −0.555246 | ||||||||
\(103\) | 14.8366 | 1.46189 | 0.730947 | − | 0.682435i | \(-0.239079\pi\) | ||||
0.730947 | + | 0.682435i | \(0.239079\pi\) | |||||||
\(104\) | − | 2.48577i | − | 0.243750i | ||||||
\(105\) | −0.254421 | − | 1.25980i | −0.0248289 | − | 0.122944i | ||||
\(106\) | −12.4495 | −1.20920 | ||||||||
\(107\) | 9.12044i | 0.881707i | 0.897579 | + | 0.440853i | \(0.145324\pi\) | ||||
−0.897579 | + | 0.440853i | \(0.854676\pi\) | |||||||
\(108\) | 1.00000 | 0.0962250 | ||||||||
\(109\) | 3.34904i | 0.320780i | 0.987054 | + | 0.160390i | \(0.0512752\pi\) | ||||
−0.987054 | + | 0.160390i | \(0.948725\pi\) | |||||||
\(110\) | −0.432906 | −0.0412760 | ||||||||
\(111\) | 5.04600i | 0.478945i | ||||||||
\(112\) | 2.59339 | − | 0.523742i | 0.245053 | − | 0.0494890i | ||||
\(113\) | 13.5907i | 1.27850i | 0.768997 | + | 0.639252i | \(0.220756\pi\) | ||||
−0.768997 | + | 0.639252i | \(0.779244\pi\) | |||||||
\(114\) | 2.63136 | + | 3.47504i | 0.246450 | + | 0.325468i | ||||
\(115\) | 3.60326i | 0.336006i | ||||||||
\(116\) | − | 2.73485i | − | 0.253924i | ||||||
\(117\) | −2.48577 | −0.229810 | ||||||||
\(118\) | − | 11.1661i | − | 1.02792i | ||||||
\(119\) | 2.93699 | + | 14.5430i | 0.269234 | + | 1.33315i | ||||
\(120\) | 0.485775 | 0.0443449 | ||||||||
\(121\) | −10.2058 | −0.927802 | ||||||||
\(122\) | −5.88429 | −0.532739 | ||||||||
\(123\) | −7.37545 | −0.665022 | ||||||||
\(124\) | 2.14079 | 0.192249 | ||||||||
\(125\) | 4.74311i | 0.424237i | ||||||||
\(126\) | −0.523742 | − | 2.59339i | −0.0466586 | − | 0.231038i | ||||
\(127\) | 14.2727i | 1.26650i | 0.773949 | + | 0.633248i | \(0.218278\pi\) | ||||
−0.773949 | + | 0.633248i | \(0.781722\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | −0.621571 | −0.0547263 | ||||||||
\(130\) | −1.20753 | −0.105907 | ||||||||
\(131\) | − | 7.35769i | − | 0.642845i | −0.946936 | − | 0.321422i | \(-0.895839\pi\) | ||
0.946936 | − | 0.321422i | \(-0.104161\pi\) | |||||||
\(132\) | −0.891167 | −0.0775661 | ||||||||
\(133\) | 7.63401 | − | 8.64419i | 0.661952 | − | 0.749546i | ||||
\(134\) | −8.29320 | −0.716423 | ||||||||
\(135\) | − | 0.485775i | − | 0.0418088i | ||||||
\(136\) | −5.60771 | −0.480857 | ||||||||
\(137\) | −8.66850 | −0.740600 | −0.370300 | − | 0.928912i | \(-0.620745\pi\) | ||||
−0.370300 | + | 0.928912i | \(0.620745\pi\) | |||||||
\(138\) | 7.41755i | 0.631424i | ||||||||
\(139\) | − | 20.6572i | − | 1.75212i | −0.482201 | − | 0.876061i | \(-0.660162\pi\) | ||
0.482201 | − | 0.876061i | \(-0.339838\pi\) | |||||||
\(140\) | −0.254421 | − | 1.25980i | −0.0215025 | − | 0.106473i | ||||
\(141\) | − | 1.33960i | − | 0.112814i | ||||||
\(142\) | 5.99757 | 0.503305 | ||||||||
\(143\) | 2.21524 | 0.185248 | ||||||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | −1.32852 | −0.110328 | ||||||||
\(146\) | −9.16848 | −0.758789 | ||||||||
\(147\) | −6.45139 | + | 2.71654i | −0.532102 | + | 0.224056i | ||||
\(148\) | 5.04600i | 0.414778i | ||||||||
\(149\) | −10.0744 | −0.825331 | −0.412665 | − | 0.910883i | \(-0.635402\pi\) | ||||
−0.412665 | + | 0.910883i | \(0.635402\pi\) | |||||||
\(150\) | 4.76402i | 0.388981i | ||||||||
\(151\) | − | 6.27565i | − | 0.510705i | −0.966848 | − | 0.255353i | \(-0.917808\pi\) | ||
0.966848 | − | 0.255353i | \(-0.0821915\pi\) | |||||||
\(152\) | 2.63136 | + | 3.47504i | 0.213432 | + | 0.281863i | ||||
\(153\) | 5.60771i | 0.453356i | ||||||||
\(154\) | 0.466741 | + | 2.31115i | 0.0376111 | + | 0.186238i | ||||
\(155\) | − | 1.03994i | − | 0.0835302i | ||||||
\(156\) | −2.48577 | −0.199021 | ||||||||
\(157\) | 16.0116i | 1.27786i | 0.769263 | + | 0.638932i | \(0.220623\pi\) | ||||
−0.769263 | + | 0.638932i | \(0.779377\pi\) | |||||||
\(158\) | 12.9087 | 1.02696 | ||||||||
\(159\) | 12.4495i | 0.987311i | ||||||||
\(160\) | 0.485775 | 0.0384038 | ||||||||
\(161\) | 19.2366 | − | 3.88488i | 1.51606 | − | 0.306172i | ||||
\(162\) | − | 1.00000i | − | 0.0785674i | ||||||
\(163\) | 15.0635 | 1.17987 | 0.589934 | − | 0.807452i | \(-0.299154\pi\) | ||||
0.589934 | + | 0.807452i | \(0.299154\pi\) | |||||||
\(164\) | −7.37545 | −0.575926 | ||||||||
\(165\) | 0.432906i | 0.0337017i | ||||||||
\(166\) | 17.4940 | 1.35780 | ||||||||
\(167\) | −15.0611 | −1.16546 | −0.582732 | − | 0.812664i | \(-0.698016\pi\) | ||||
−0.582732 | + | 0.812664i | \(0.698016\pi\) | |||||||
\(168\) | −0.523742 | − | 2.59339i | −0.0404076 | − | 0.200085i | ||||
\(169\) | −6.82092 | −0.524687 | ||||||||
\(170\) | 2.72408i | 0.208927i | ||||||||
\(171\) | 3.47504 | − | 2.63136i | 0.265743 | − | 0.201225i | ||||
\(172\) | −0.621571 | −0.0473944 | ||||||||
\(173\) | −5.48926 | −0.417341 | −0.208670 | − | 0.977986i | \(-0.566914\pi\) | ||||
−0.208670 | + | 0.977986i | \(0.566914\pi\) | |||||||
\(174\) | −2.73485 | −0.207328 | ||||||||
\(175\) | 12.3550 | − | 2.49512i | 0.933950 | − | 0.188613i | ||||
\(176\) | −0.891167 | −0.0671742 | ||||||||
\(177\) | −11.1661 | −0.839292 | ||||||||
\(178\) | 9.70397i | 0.727343i | ||||||||
\(179\) | 0.275291i | 0.0205762i | 0.999947 | + | 0.0102881i | \(0.00327486\pi\) | ||||
−0.999947 | + | 0.0102881i | \(0.996725\pi\) | |||||||
\(180\) | − | 0.485775i | − | 0.0362075i | ||||||
\(181\) | 10.3631 | 0.770281 | 0.385141 | − | 0.922858i | \(-0.374153\pi\) | ||||
0.385141 | + | 0.922858i | \(0.374153\pi\) | |||||||
\(182\) | 1.30190 | + | 6.44659i | 0.0965036 | + | 0.477853i | ||||
\(183\) | 5.88429i | 0.434980i | ||||||||
\(184\) | 7.41755i | 0.546829i | ||||||||
\(185\) | 2.45122 | 0.180217 | ||||||||
\(186\) | − | 2.14079i | − | 0.156971i | ||||||
\(187\) | − | 4.99740i | − | 0.365446i | ||||||
\(188\) | − | 1.33960i | − | 0.0977002i | ||||||
\(189\) | −2.59339 | + | 0.523742i | −0.188642 | + | 0.0380966i | ||||
\(190\) | 1.68809 | − | 1.27825i | 0.122467 | − | 0.0927339i | ||||
\(191\) | −2.13337 | −0.154365 | −0.0771826 | − | 0.997017i | \(-0.524592\pi\) | ||||
−0.0771826 | + | 0.997017i | \(0.524592\pi\) | |||||||
\(192\) | 1.00000 | 0.0721688 | ||||||||
\(193\) | − | 2.80119i | − | 0.201634i | −0.994905 | − | 0.100817i | \(-0.967854\pi\) | ||
0.994905 | − | 0.100817i | \(-0.0321457\pi\) | |||||||
\(194\) | − | 2.53160i | − | 0.181758i | ||||||
\(195\) | 1.20753i | 0.0864727i | ||||||||
\(196\) | −6.45139 | + | 2.71654i | −0.460813 | + | 0.194039i | ||||
\(197\) | −25.8438 | −1.84129 | −0.920647 | − | 0.390397i | \(-0.872338\pi\) | ||||
−0.920647 | + | 0.390397i | \(0.872338\pi\) | |||||||
\(198\) | 0.891167i | 0.0633325i | ||||||||
\(199\) | − | 10.9515i | − | 0.776334i | −0.921589 | − | 0.388167i | \(-0.873108\pi\) | ||
0.921589 | − | 0.388167i | \(-0.126892\pi\) | |||||||
\(200\) | 4.76402i | 0.336867i | ||||||||
\(201\) | 8.29320i | 0.584957i | ||||||||
\(202\) | −1.95547 | −0.137587 | ||||||||
\(203\) | 1.43236 | + | 7.09254i | 0.100532 | + | 0.497799i | ||||
\(204\) | 5.60771i | 0.392618i | ||||||||
\(205\) | 3.58281i | 0.250234i | ||||||||
\(206\) | − | 14.8366i | − | 1.03371i | ||||||
\(207\) | 7.41755 | 0.515556 | ||||||||
\(208\) | −2.48577 | −0.172357 | ||||||||
\(209\) | −3.09684 | + | 2.34498i | −0.214213 | + | 0.162206i | ||||
\(210\) | −1.25980 | + | 0.254421i | −0.0869348 | + | 0.0175567i | ||||
\(211\) | 26.9244i | 1.85355i | 0.375616 | + | 0.926775i | \(0.377431\pi\) | ||||
−0.375616 | + | 0.926775i | \(0.622569\pi\) | |||||||
\(212\) | 12.4495i | 0.855036i | ||||||||
\(213\) | − | 5.99757i | − | 0.410947i | ||||||
\(214\) | 9.12044 | 0.623461 | ||||||||
\(215\) | 0.301943i | 0.0205924i | ||||||||
\(216\) | − | 1.00000i | − | 0.0680414i | ||||||
\(217\) | −5.55192 | + | 1.12122i | −0.376889 | + | 0.0761136i | ||||
\(218\) | 3.34904 | 0.226826 | ||||||||
\(219\) | 9.16848i | 0.619548i | ||||||||
\(220\) | 0.432906i | 0.0291865i | ||||||||
\(221\) | − | 13.9395i | − | 0.937672i | ||||||
\(222\) | 5.04600 | 0.338665 | ||||||||
\(223\) | −5.27498 | −0.353239 | −0.176619 | − | 0.984279i | \(-0.556516\pi\) | ||||
−0.176619 | + | 0.984279i | \(0.556516\pi\) | |||||||
\(224\) | −0.523742 | − | 2.59339i | −0.0349940 | − | 0.173278i | ||||
\(225\) | 4.76402 | 0.317602 | ||||||||
\(226\) | 13.5907 | 0.904039 | ||||||||
\(227\) | −1.65074 | −0.109564 | −0.0547819 | − | 0.998498i | \(-0.517446\pi\) | ||||
−0.0547819 | + | 0.998498i | \(0.517446\pi\) | |||||||
\(228\) | 3.47504 | − | 2.63136i | 0.230140 | − | 0.174266i | ||||
\(229\) | − | 24.5788i | − | 1.62422i | −0.583507 | − | 0.812108i | \(-0.698320\pi\) | ||
0.583507 | − | 0.812108i | \(-0.301680\pi\) | |||||||
\(230\) | 3.60326 | 0.237592 | ||||||||
\(231\) | 2.31115 | − | 0.466741i | 0.152062 | − | 0.0307093i | ||||
\(232\) | −2.73485 | −0.179552 | ||||||||
\(233\) | −8.24684 | −0.540268 | −0.270134 | − | 0.962823i | \(-0.587068\pi\) | ||||
−0.270134 | + | 0.962823i | \(0.587068\pi\) | |||||||
\(234\) | 2.48577i | 0.162500i | ||||||||
\(235\) | −0.650742 | −0.0424498 | ||||||||
\(236\) | −11.1661 | −0.726848 | ||||||||
\(237\) | − | 12.9087i | − | 0.838511i | ||||||
\(238\) | 14.5430 | − | 2.93699i | 0.942682 | − | 0.190377i | ||||
\(239\) | −4.11049 | −0.265886 | −0.132943 | − | 0.991124i | \(-0.542443\pi\) | ||||
−0.132943 | + | 0.991124i | \(0.542443\pi\) | |||||||
\(240\) | − | 0.485775i | − | 0.0313566i | ||||||
\(241\) | −12.0763 | −0.777900 | −0.388950 | − | 0.921259i | \(-0.627162\pi\) | ||||
−0.388950 | + | 0.921259i | \(0.627162\pi\) | |||||||
\(242\) | 10.2058i | 0.656055i | ||||||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 5.88429i | 0.376703i | ||||||||
\(245\) | 1.31963 | + | 3.13392i | 0.0843078 | + | 0.200219i | ||||
\(246\) | 7.37545i | 0.470242i | ||||||||
\(247\) | −8.63818 | + | 6.54097i | −0.549634 | + | 0.416192i | ||||
\(248\) | − | 2.14079i | − | 0.135940i | ||||||
\(249\) | − | 17.4940i | − | 1.10864i | ||||||
\(250\) | 4.74311 | 0.299981 | ||||||||
\(251\) | − | 14.9744i | − | 0.945176i | −0.881283 | − | 0.472588i | \(-0.843320\pi\) | ||
0.881283 | − | 0.472588i | \(-0.156680\pi\) | |||||||
\(252\) | −2.59339 | + | 0.523742i | −0.163368 | + | 0.0329926i | ||||
\(253\) | −6.61028 | −0.415585 | ||||||||
\(254\) | 14.2727 | 0.895547 | ||||||||
\(255\) | 2.72408 | 0.170589 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 6.10268 | 0.380675 | 0.190337 | − | 0.981719i | \(-0.439042\pi\) | ||||
0.190337 | + | 0.981719i | \(0.439042\pi\) | |||||||
\(258\) | 0.621571i | 0.0386973i | ||||||||
\(259\) | −2.64280 | − | 13.0863i | −0.164216 | − | 0.813141i | ||||
\(260\) | 1.20753i | 0.0748876i | ||||||||
\(261\) | 2.73485i | 0.169283i | ||||||||
\(262\) | −7.35769 | −0.454560 | ||||||||
\(263\) | 14.7967 | 0.912404 | 0.456202 | − | 0.889876i | \(-0.349209\pi\) | ||||
0.456202 | + | 0.889876i | \(0.349209\pi\) | |||||||
\(264\) | 0.891167i | 0.0548475i | ||||||||
\(265\) | 6.04766 | 0.371505 | ||||||||
\(266\) | −8.64419 | − | 7.63401i | −0.530009 | − | 0.468071i | ||||
\(267\) | 9.70397 | 0.593873 | ||||||||
\(268\) | 8.29320i | 0.506588i | ||||||||
\(269\) | 10.5582 | 0.643745 | 0.321872 | − | 0.946783i | \(-0.395688\pi\) | ||||
0.321872 | + | 0.946783i | \(0.395688\pi\) | |||||||
\(270\) | −0.485775 | −0.0295633 | ||||||||
\(271\) | 13.1357i | 0.797938i | 0.916964 | + | 0.398969i | \(0.130632\pi\) | ||||
−0.916964 | + | 0.398969i | \(0.869368\pi\) | |||||||
\(272\) | 5.60771i | 0.340017i | ||||||||
\(273\) | 6.44659 | − | 1.30190i | 0.390166 | − | 0.0787948i | ||||
\(274\) | 8.66850i | 0.523684i | ||||||||
\(275\) | −4.24554 | −0.256016 | ||||||||
\(276\) | 7.41755 | 0.446484 | ||||||||
\(277\) | −23.6200 | −1.41919 | −0.709595 | − | 0.704609i | \(-0.751122\pi\) | ||||
−0.709595 | + | 0.704609i | \(0.751122\pi\) | |||||||
\(278\) | −20.6572 | −1.23894 | ||||||||
\(279\) | −2.14079 | −0.128166 | ||||||||
\(280\) | −1.25980 | + | 0.254421i | −0.0752877 | + | 0.0152045i | ||||
\(281\) | − | 8.15906i | − | 0.486729i | −0.969935 | − | 0.243364i | \(-0.921749\pi\) | ||
0.969935 | − | 0.243364i | \(-0.0782511\pi\) | |||||||
\(282\) | −1.33960 | −0.0797719 | ||||||||
\(283\) | 32.6524i | 1.94098i | 0.241139 | + | 0.970491i | \(0.422479\pi\) | ||||
−0.241139 | + | 0.970491i | \(0.577521\pi\) | |||||||
\(284\) | − | 5.99757i | − | 0.355890i | ||||||
\(285\) | −1.27825 | − | 1.68809i | −0.0757169 | − | 0.0999937i | ||||
\(286\) | − | 2.21524i | − | 0.130990i | ||||||
\(287\) | 19.1275 | − | 3.86283i | 1.12906 | − | 0.228016i | ||||
\(288\) | − | 1.00000i | − | 0.0589256i | ||||||
\(289\) | −14.4464 | −0.849786 | ||||||||
\(290\) | 1.32852i | 0.0780134i | ||||||||
\(291\) | −2.53160 | −0.148405 | ||||||||
\(292\) | 9.16848i | 0.536545i | ||||||||
\(293\) | 26.4395 | 1.54461 | 0.772307 | − | 0.635249i | \(-0.219103\pi\) | ||||
0.772307 | + | 0.635249i | \(0.219103\pi\) | |||||||
\(294\) | 2.71654 | + | 6.45139i | 0.158432 | + | 0.376253i | ||||
\(295\) | 5.42418i | 0.315808i | ||||||||
\(296\) | 5.04600 | 0.293293 | ||||||||
\(297\) | 0.891167 | 0.0517107 | ||||||||
\(298\) | 10.0744i | 0.583597i | ||||||||
\(299\) | −18.4384 | −1.06632 | ||||||||
\(300\) | 4.76402 | 0.275051 | ||||||||
\(301\) | 1.61198 | − | 0.325543i | 0.0929129 | − | 0.0187640i | ||||
\(302\) | −6.27565 | −0.361123 | ||||||||
\(303\) | 1.95547i | 0.112339i | ||||||||
\(304\) | 3.47504 | − | 2.63136i | 0.199307 | − | 0.150919i | ||||
\(305\) | 2.85844 | 0.163674 | ||||||||
\(306\) | 5.60771 | 0.320571 | ||||||||
\(307\) | −15.5724 | −0.888763 | −0.444381 | − | 0.895838i | \(-0.646576\pi\) | ||||
−0.444381 | + | 0.895838i | \(0.646576\pi\) | |||||||
\(308\) | 2.31115 | − | 0.466741i | 0.131690 | − | 0.0265951i | ||||
\(309\) | −14.8366 | −0.844024 | ||||||||
\(310\) | −1.03994 | −0.0590648 | ||||||||
\(311\) | − | 12.3207i | − | 0.698645i | −0.937003 | − | 0.349322i | \(-0.886412\pi\) | ||
0.937003 | − | 0.349322i | \(-0.113588\pi\) | |||||||
\(312\) | 2.48577i | 0.140729i | ||||||||
\(313\) | − | 1.79634i | − | 0.101535i | −0.998710 | − | 0.0507677i | \(-0.983833\pi\) | ||
0.998710 | − | 0.0507677i | \(-0.0161668\pi\) | |||||||
\(314\) | 16.0116 | 0.903586 | ||||||||
\(315\) | 0.254421 | + | 1.25980i | 0.0143350 | + | 0.0709820i | ||||
\(316\) | − | 12.9087i | − | 0.726172i | ||||||
\(317\) | 1.03249i | 0.0579905i | 0.999580 | + | 0.0289953i | \(0.00923077\pi\) | ||||
−0.999580 | + | 0.0289953i | \(0.990769\pi\) | |||||||
\(318\) | 12.4495 | 0.698134 | ||||||||
\(319\) | − | 2.43721i | − | 0.136457i | ||||||
\(320\) | − | 0.485775i | − | 0.0271556i | ||||||
\(321\) | − | 9.12044i | − | 0.509054i | ||||||
\(322\) | −3.88488 | − | 19.2366i | −0.216496 | − | 1.07202i | ||||
\(323\) | 14.7559 | + | 19.4870i | 0.821040 | + | 1.08429i | ||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | −11.8423 | −0.656892 | ||||||||
\(326\) | − | 15.0635i | − | 0.834292i | ||||||
\(327\) | − | 3.34904i | − | 0.185202i | ||||||
\(328\) | 7.37545i | 0.407241i | ||||||||
\(329\) | 0.701604 | + | 3.47411i | 0.0386807 | + | 0.191534i | ||||
\(330\) | 0.432906 | 0.0238307 | ||||||||
\(331\) | − | 32.2163i | − | 1.77077i | −0.464862 | − | 0.885383i | \(-0.653896\pi\) | ||
0.464862 | − | 0.885383i | \(-0.346104\pi\) | |||||||
\(332\) | − | 17.4940i | − | 0.960109i | ||||||
\(333\) | − | 5.04600i | − | 0.276519i | ||||||
\(334\) | 15.0611i | 0.824108i | ||||||||
\(335\) | 4.02862 | 0.220107 | ||||||||
\(336\) | −2.59339 | + | 0.523742i | −0.141481 | + | 0.0285725i | ||||
\(337\) | − | 7.67408i | − | 0.418034i | −0.977912 | − | 0.209017i | \(-0.932974\pi\) | ||
0.977912 | − | 0.209017i | \(-0.0670264\pi\) | |||||||
\(338\) | 6.82092i | 0.371009i | ||||||||
\(339\) | − | 13.5907i | − | 0.738145i | ||||||
\(340\) | 2.72408 | 0.147734 | ||||||||
\(341\) | 1.90780 | 0.103313 | ||||||||
\(342\) | −2.63136 | − | 3.47504i | −0.142288 | − | 0.187909i | ||||
\(343\) | 15.3082 | − | 10.4239i | 0.826567 | − | 0.562839i | ||||
\(344\) | 0.621571i | 0.0335129i | ||||||||
\(345\) | − | 3.60326i | − | 0.193993i | ||||||
\(346\) | 5.48926i | 0.295104i | ||||||||
\(347\) | 12.6598 | 0.679611 | 0.339806 | − | 0.940496i | \(-0.389639\pi\) | ||||
0.339806 | + | 0.940496i | \(0.389639\pi\) | |||||||
\(348\) | 2.73485i | 0.146603i | ||||||||
\(349\) | 4.17532i | 0.223500i | 0.993736 | + | 0.111750i | \(0.0356456\pi\) | ||||
−0.993736 | + | 0.111750i | \(0.964354\pi\) | |||||||
\(350\) | −2.49512 | − | 12.3550i | −0.133370 | − | 0.660402i | ||||
\(351\) | 2.48577 | 0.132681 | ||||||||
\(352\) | 0.891167i | 0.0474993i | ||||||||
\(353\) | 9.19196i | 0.489239i | 0.969619 | + | 0.244619i | \(0.0786630\pi\) | ||||
−0.969619 | + | 0.244619i | \(0.921337\pi\) | |||||||
\(354\) | 11.1661i | 0.593469i | ||||||||
\(355\) | −2.91347 | −0.154631 | ||||||||
\(356\) | 9.70397 | 0.514309 | ||||||||
\(357\) | −2.93699 | − | 14.5430i | −0.155442 | − | 0.769697i | ||||
\(358\) | 0.275291 | 0.0145496 | ||||||||
\(359\) | −23.8550 | −1.25902 | −0.629511 | − | 0.776992i | \(-0.716745\pi\) | ||||
−0.629511 | + | 0.776992i | \(0.716745\pi\) | |||||||
\(360\) | −0.485775 | −0.0256026 | ||||||||
\(361\) | 5.15187 | − | 18.2882i | 0.271151 | − | 0.962537i | ||||
\(362\) | − | 10.3631i | − | 0.544671i | ||||||
\(363\) | 10.2058 | 0.535667 | ||||||||
\(364\) | 6.44659 | − | 1.30190i | 0.337893 | − | 0.0682383i | ||||
\(365\) | 4.45381 | 0.233123 | ||||||||
\(366\) | 5.88429 | 0.307577 | ||||||||
\(367\) | 33.4750i | 1.74738i | 0.486483 | + | 0.873690i | \(0.338280\pi\) | ||||
−0.486483 | + | 0.873690i | \(0.661720\pi\) | |||||||
\(368\) | 7.41755 | 0.386667 | ||||||||
\(369\) | 7.37545 | 0.383951 | ||||||||
\(370\) | − | 2.45122i | − | 0.127433i | ||||||
\(371\) | −6.52033 | − | 32.2865i | −0.338519 | − | 1.67623i | ||||
\(372\) | −2.14079 | −0.110995 | ||||||||
\(373\) | − | 28.1534i | − | 1.45773i | −0.684657 | − | 0.728865i | \(-0.740048\pi\) | ||
0.684657 | − | 0.728865i | \(-0.259952\pi\) | |||||||
\(374\) | −4.99740 | −0.258409 | ||||||||
\(375\) | − | 4.74311i | − | 0.244933i | ||||||
\(376\) | −1.33960 | −0.0690845 | ||||||||
\(377\) | − | 6.79822i | − | 0.350126i | ||||||
\(378\) | 0.523742 | + | 2.59339i | 0.0269384 | + | 0.133390i | ||||
\(379\) | − | 4.63390i | − | 0.238028i | −0.992893 | − | 0.119014i | \(-0.962027\pi\) | ||
0.992893 | − | 0.119014i | \(-0.0379733\pi\) | |||||||
\(380\) | −1.27825 | − | 1.68809i | −0.0655728 | − | 0.0865971i | ||||
\(381\) | − | 14.2727i | − | 0.731211i | ||||||
\(382\) | 2.13337i | 0.109153i | ||||||||
\(383\) | −28.0882 | −1.43524 | −0.717621 | − | 0.696434i | \(-0.754769\pi\) | ||||
−0.717621 | + | 0.696434i | \(0.754769\pi\) | |||||||
\(384\) | − | 1.00000i | − | 0.0510310i | ||||||
\(385\) | −0.226731 | − | 1.12270i | −0.0115553 | − | 0.0572179i | ||||
\(386\) | −2.80119 | −0.142577 | ||||||||
\(387\) | 0.621571 | 0.0315962 | ||||||||
\(388\) | −2.53160 | −0.128522 | ||||||||
\(389\) | −18.5829 | −0.942192 | −0.471096 | − | 0.882082i | \(-0.656142\pi\) | ||||
−0.471096 | + | 0.882082i | \(0.656142\pi\) | |||||||
\(390\) | 1.20753 | 0.0611455 | ||||||||
\(391\) | 41.5955i | 2.10357i | ||||||||
\(392\) | 2.71654 | + | 6.45139i | 0.137206 | + | 0.325844i | ||||
\(393\) | 7.35769i | 0.371146i | ||||||||
\(394\) | 25.8438i | 1.30199i | ||||||||
\(395\) | −6.27072 | −0.315514 | ||||||||
\(396\) | 0.891167 | 0.0447828 | ||||||||
\(397\) | − | 2.48117i | − | 0.124526i | −0.998060 | − | 0.0622631i | \(-0.980168\pi\) | ||
0.998060 | − | 0.0622631i | \(-0.0198318\pi\) | |||||||
\(398\) | −10.9515 | −0.548951 | ||||||||
\(399\) | −7.63401 | + | 8.64419i | −0.382178 | + | 0.432751i | ||||
\(400\) | 4.76402 | 0.238201 | ||||||||
\(401\) | − | 15.8800i | − | 0.793009i | −0.918033 | − | 0.396505i | \(-0.870223\pi\) | ||
0.918033 | − | 0.396505i | \(-0.129777\pi\) | |||||||
\(402\) | 8.29320 | 0.413627 | ||||||||
\(403\) | 5.32153 | 0.265084 | ||||||||
\(404\) | 1.95547i | 0.0972884i | ||||||||
\(405\) | 0.485775i | 0.0241383i | ||||||||
\(406\) | 7.09254 | − | 1.43236i | 0.351997 | − | 0.0710866i | ||||
\(407\) | 4.49682i | 0.222899i | ||||||||
\(408\) | 5.60771 | 0.277623 | ||||||||
\(409\) | −11.8039 | −0.583666 | −0.291833 | − | 0.956469i | \(-0.594265\pi\) | ||||
−0.291833 | + | 0.956469i | \(0.594265\pi\) | |||||||
\(410\) | 3.58281 | 0.176942 | ||||||||
\(411\) | 8.66850 | 0.427586 | ||||||||
\(412\) | −14.8366 | −0.730947 | ||||||||
\(413\) | 28.9580 | − | 5.84813i | 1.42493 | − | 0.287768i | ||||
\(414\) | − | 7.41755i | − | 0.364553i | ||||||
\(415\) | −8.49815 | −0.417158 | ||||||||
\(416\) | 2.48577i | 0.121875i | ||||||||
\(417\) | 20.6572i | 1.01159i | ||||||||
\(418\) | 2.34498 | + | 3.09684i | 0.114697 | + | 0.151472i | ||||
\(419\) | − | 28.1019i | − | 1.37287i | −0.727193 | − | 0.686433i | \(-0.759175\pi\) | ||
0.727193 | − | 0.686433i | \(-0.240825\pi\) | |||||||
\(420\) | 0.254421 | + | 1.25980i | 0.0124145 | + | 0.0614722i | ||||
\(421\) | − | 12.1232i | − | 0.590849i | −0.955366 | − | 0.295424i | \(-0.904539\pi\) | ||
0.955366 | − | 0.295424i | \(-0.0954611\pi\) | |||||||
\(422\) | 26.9244 | 1.31066 | ||||||||
\(423\) | 1.33960i | 0.0651335i | ||||||||
\(424\) | 12.4495 | 0.604602 | ||||||||
\(425\) | 26.7152i | 1.29588i | ||||||||
\(426\) | −5.99757 | −0.290583 | ||||||||
\(427\) | −3.08185 | − | 15.2603i | −0.149141 | − | 0.738498i | ||||
\(428\) | − | 9.12044i | − | 0.440853i | ||||||
\(429\) | −2.21524 | −0.106953 | ||||||||
\(430\) | 0.301943 | 0.0145610 | ||||||||
\(431\) | − | 28.7367i | − | 1.38420i | −0.721802 | − | 0.692100i | \(-0.756686\pi\) | ||
0.721802 | − | 0.692100i | \(-0.243314\pi\) | |||||||
\(432\) | −1.00000 | −0.0481125 | ||||||||
\(433\) | −18.4055 | −0.884512 | −0.442256 | − | 0.896889i | \(-0.645822\pi\) | ||||
−0.442256 | + | 0.896889i | \(0.645822\pi\) | |||||||
\(434\) | 1.12122 | + | 5.55192i | 0.0538204 | + | 0.266501i | ||||
\(435\) | 1.32852 | 0.0636977 | ||||||||
\(436\) | − | 3.34904i | − | 0.160390i | ||||||
\(437\) | 25.7763 | − | 19.5183i | 1.23305 | − | 0.933685i | ||||
\(438\) | 9.16848 | 0.438087 | ||||||||
\(439\) | 24.8635 | 1.18667 | 0.593335 | − | 0.804955i | \(-0.297811\pi\) | ||||
0.593335 | + | 0.804955i | \(0.297811\pi\) | |||||||
\(440\) | 0.432906 | 0.0206380 | ||||||||
\(441\) | 6.45139 | − | 2.71654i | 0.307209 | − | 0.129359i | ||||
\(442\) | −13.9395 | −0.663034 | ||||||||
\(443\) | −0.911526 | −0.0433079 | −0.0216539 | − | 0.999766i | \(-0.506893\pi\) | ||||
−0.0216539 | + | 0.999766i | \(0.506893\pi\) | |||||||
\(444\) | − | 5.04600i | − | 0.239472i | ||||||
\(445\) | − | 4.71394i | − | 0.223462i | ||||||
\(446\) | 5.27498i | 0.249778i | ||||||||
\(447\) | 10.0744 | 0.476505 | ||||||||
\(448\) | −2.59339 | + | 0.523742i | −0.122526 | + | 0.0247445i | ||||
\(449\) | 16.3156i | 0.769980i | 0.922921 | + | 0.384990i | \(0.125795\pi\) | ||||
−0.922921 | + | 0.384990i | \(0.874205\pi\) | |||||||
\(450\) | − | 4.76402i | − | 0.224578i | ||||||
\(451\) | −6.57276 | −0.309499 | ||||||||
\(452\) | − | 13.5907i | − | 0.639252i | ||||||
\(453\) | 6.27565i | 0.294856i | ||||||||
\(454\) | 1.65074i | 0.0774733i | ||||||||
\(455\) | −0.632432 | − | 3.13159i | −0.0296489 | − | 0.146811i | ||||
\(456\) | −2.63136 | − | 3.47504i | −0.123225 | − | 0.162734i | ||||
\(457\) | 5.83109 | 0.272767 | 0.136383 | − | 0.990656i | \(-0.456452\pi\) | ||||
0.136383 | + | 0.990656i | \(0.456452\pi\) | |||||||
\(458\) | −24.5788 | −1.14849 | ||||||||
\(459\) | − | 5.60771i | − | 0.261745i | ||||||
\(460\) | − | 3.60326i | − | 0.168003i | ||||||
\(461\) | 35.3279i | 1.64538i | 0.568487 | + | 0.822692i | \(0.307529\pi\) | ||||
−0.568487 | + | 0.822692i | \(0.692471\pi\) | |||||||
\(462\) | −0.466741 | − | 2.31115i | −0.0217148 | − | 0.107524i | ||||
\(463\) | 15.5104 | 0.720831 | 0.360415 | − | 0.932792i | \(-0.382635\pi\) | ||||
0.360415 | + | 0.932792i | \(0.382635\pi\) | |||||||
\(464\) | 2.73485i | 0.126962i | ||||||||
\(465\) | 1.03994i | 0.0482262i | ||||||||
\(466\) | 8.24684i | 0.382027i | ||||||||
\(467\) | 9.72058i | 0.449815i | 0.974380 | + | 0.224907i | \(0.0722079\pi\) | ||||
−0.974380 | + | 0.224907i | \(0.927792\pi\) | |||||||
\(468\) | 2.48577 | 0.114905 | ||||||||
\(469\) | −4.34349 | − | 21.5075i | −0.200564 | − | 0.993125i | ||||
\(470\) | 0.650742i | 0.0300165i | ||||||||
\(471\) | − | 16.0116i | − | 0.737775i | ||||||
\(472\) | 11.1661i | 0.513959i | ||||||||
\(473\) | −0.553924 | −0.0254694 | ||||||||
\(474\) | −12.9087 | −0.592917 | ||||||||
\(475\) | 16.5552 | − | 12.5359i | 0.759604 | − | 0.575185i | ||||
\(476\) | −2.93699 | − | 14.5430i | −0.134617 | − | 0.666577i | ||||
\(477\) | − | 12.4495i | − | 0.570024i | ||||||
\(478\) | 4.11049i | 0.188010i | ||||||||
\(479\) | − | 9.76640i | − | 0.446238i | −0.974791 | − | 0.223119i | \(-0.928376\pi\) | ||
0.974791 | − | 0.223119i | \(-0.0716239\pi\) | |||||||
\(480\) | −0.485775 | −0.0221725 | ||||||||
\(481\) | 12.5432i | 0.571921i | ||||||||
\(482\) | 12.0763i | 0.550058i | ||||||||
\(483\) | −19.2366 | + | 3.88488i | −0.875297 | + | 0.176768i | ||||
\(484\) | 10.2058 | 0.463901 | ||||||||
\(485\) | 1.22979i | 0.0558417i | ||||||||
\(486\) | 1.00000i | 0.0453609i | ||||||||
\(487\) | − | 2.38139i | − | 0.107911i | −0.998543 | − | 0.0539555i | \(-0.982817\pi\) | ||
0.998543 | − | 0.0539555i | \(-0.0171829\pi\) | |||||||
\(488\) | 5.88429 | 0.266370 | ||||||||
\(489\) | −15.0635 | −0.681197 | ||||||||
\(490\) | 3.13392 | − | 1.31963i | 0.141576 | − | 0.0596146i | ||||
\(491\) | 16.6491 | 0.751362 | 0.375681 | − | 0.926749i | \(-0.377409\pi\) | ||||
0.375681 | + | 0.926749i | \(0.377409\pi\) | |||||||
\(492\) | 7.37545 | 0.332511 | ||||||||
\(493\) | −15.3362 | −0.690709 | ||||||||
\(494\) | 6.54097 | + | 8.63818i | 0.294292 | + | 0.388650i | ||||
\(495\) | − | 0.432906i | − | 0.0194577i | ||||||
\(496\) | −2.14079 | −0.0961244 | ||||||||
\(497\) | 3.14118 | + | 15.5541i | 0.140901 | + | 0.697696i | ||||
\(498\) | −17.4940 | −0.783926 | ||||||||
\(499\) | −35.8702 | −1.60577 | −0.802885 | − | 0.596134i | \(-0.796703\pi\) | ||||
−0.802885 | + | 0.596134i | \(0.796703\pi\) | |||||||
\(500\) | − | 4.74311i | − | 0.212118i | ||||||
\(501\) | 15.0611 | 0.672881 | ||||||||
\(502\) | −14.9744 | −0.668341 | ||||||||
\(503\) | − | 30.0897i | − | 1.34163i | −0.741623 | − | 0.670817i | \(-0.765943\pi\) | ||
0.741623 | − | 0.670817i | \(-0.234057\pi\) | |||||||
\(504\) | 0.523742 | + | 2.59339i | 0.0233293 | + | 0.115519i | ||||
\(505\) | 0.949919 | 0.0422709 | ||||||||
\(506\) | 6.61028i | 0.293863i | ||||||||
\(507\) | 6.82092 | 0.302928 | ||||||||
\(508\) | − | 14.2727i | − | 0.633248i | ||||||
\(509\) | 27.0959 | 1.20100 | 0.600501 | − | 0.799624i | \(-0.294968\pi\) | ||||
0.600501 | + | 0.799624i | \(0.294968\pi\) | |||||||
\(510\) | − | 2.72408i | − | 0.120624i | ||||||
\(511\) | −4.80192 | − | 23.7775i | −0.212424 | − | 1.05185i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −3.47504 | + | 2.63136i | −0.153427 | + | 0.116177i | ||||
\(514\) | − | 6.10268i | − | 0.269178i | ||||||
\(515\) | 7.20724i | 0.317589i | ||||||||
\(516\) | 0.621571 | 0.0273631 | ||||||||
\(517\) | − | 1.19381i | − | 0.0525035i | ||||||
\(518\) | −13.0863 | + | 2.64280i | −0.574977 | + | 0.116118i | ||||
\(519\) | 5.48926 | 0.240952 | ||||||||
\(520\) | 1.20753 | 0.0529535 | ||||||||
\(521\) | 25.5195 | 1.11803 | 0.559015 | − | 0.829157i | \(-0.311179\pi\) | ||||
0.559015 | + | 0.829157i | \(0.311179\pi\) | |||||||
\(522\) | 2.73485 | 0.119701 | ||||||||
\(523\) | 9.85584 | 0.430966 | 0.215483 | − | 0.976508i | \(-0.430867\pi\) | ||||
0.215483 | + | 0.976508i | \(0.430867\pi\) | |||||||
\(524\) | 7.35769i | 0.321422i | ||||||||
\(525\) | −12.3550 | + | 2.49512i | −0.539216 | + | 0.108896i | ||||
\(526\) | − | 14.7967i | − | 0.645167i | ||||||
\(527\) | − | 12.0049i | − | 0.522943i | ||||||
\(528\) | 0.891167 | 0.0387831 | ||||||||
\(529\) | 32.0201 | 1.39218 | ||||||||
\(530\) | − | 6.04766i | − | 0.262693i | ||||||
\(531\) | 11.1661 | 0.484565 | ||||||||
\(532\) | −7.63401 | + | 8.64419i | −0.330976 | + | 0.374773i | ||||
\(533\) | −18.3337 | −0.794121 | ||||||||
\(534\) | − | 9.70397i | − | 0.419932i | ||||||
\(535\) | −4.43048 | −0.191546 | ||||||||
\(536\) | 8.29320 | 0.358211 | ||||||||
\(537\) | − | 0.275291i | − | 0.0118797i | ||||||
\(538\) | − | 10.5582i | − | 0.455196i | ||||||
\(539\) | −5.74926 | + | 2.42089i | −0.247638 | + | 0.104275i | ||||
\(540\) | 0.485775i | 0.0209044i | ||||||||
\(541\) | −10.3841 | −0.446449 | −0.223225 | − | 0.974767i | \(-0.571658\pi\) | ||||
−0.223225 | + | 0.974767i | \(0.571658\pi\) | |||||||
\(542\) | 13.1357 | 0.564228 | ||||||||
\(543\) | −10.3631 | −0.444722 | ||||||||
\(544\) | 5.60771 | 0.240428 | ||||||||
\(545\) | −1.62688 | −0.0696878 | ||||||||
\(546\) | −1.30190 | − | 6.44659i | −0.0557164 | − | 0.275889i | ||||
\(547\) | 28.8873i | 1.23513i | 0.786519 | + | 0.617566i | \(0.211881\pi\) | ||||
−0.786519 | + | 0.617566i | \(0.788119\pi\) | |||||||
\(548\) | 8.66850 | 0.370300 | ||||||||
\(549\) | − | 5.88429i | − | 0.251136i | ||||||
\(550\) | 4.24554i | 0.181030i | ||||||||
\(551\) | 7.19638 | + | 9.50372i | 0.306576 | + | 0.404872i | ||||
\(552\) | − | 7.41755i | − | 0.315712i | ||||||
\(553\) | 6.76083 | + | 33.4774i | 0.287500 | + | 1.42360i | ||||
\(554\) | 23.6200i | 1.00352i | ||||||||
\(555\) | −2.45122 | −0.104048 | ||||||||
\(556\) | 20.6572i | 0.876061i | ||||||||
\(557\) | 20.1424 | 0.853461 | 0.426731 | − | 0.904379i | \(-0.359665\pi\) | ||||
0.426731 | + | 0.904379i | \(0.359665\pi\) | |||||||
\(558\) | 2.14079i | 0.0906270i | ||||||||
\(559\) | −1.54509 | −0.0653502 | ||||||||
\(560\) | 0.254421 | + | 1.25980i | 0.0107512 | + | 0.0532365i | ||||
\(561\) | 4.99740i | 0.210990i | ||||||||
\(562\) | −8.15906 | −0.344169 | ||||||||
\(563\) | −20.2433 | −0.853155 | −0.426577 | − | 0.904451i | \(-0.640281\pi\) | ||||
−0.426577 | + | 0.904451i | \(0.640281\pi\) | |||||||
\(564\) | 1.33960i | 0.0564072i | ||||||||
\(565\) | −6.60201 | −0.277749 | ||||||||
\(566\) | 32.6524 | 1.37248 | ||||||||
\(567\) | 2.59339 | − | 0.523742i | 0.108912 | − | 0.0219951i | ||||
\(568\) | −5.99757 | −0.251653 | ||||||||
\(569\) | − | 15.8019i | − | 0.662451i | −0.943552 | − | 0.331225i | \(-0.892538\pi\) | ||
0.943552 | − | 0.331225i | \(-0.107462\pi\) | |||||||
\(570\) | −1.68809 | + | 1.27825i | −0.0707062 | + | 0.0535399i | ||||
\(571\) | 24.2408 | 1.01445 | 0.507224 | − | 0.861814i | \(-0.330672\pi\) | ||||
0.507224 | + | 0.861814i | \(0.330672\pi\) | |||||||
\(572\) | −2.21524 | −0.0926238 | ||||||||
\(573\) | 2.13337 | 0.0891228 | ||||||||
\(574\) | −3.86283 | − | 19.1275i | −0.161232 | − | 0.798365i | ||||
\(575\) | 35.3374 | 1.47367 | ||||||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | 35.2958i | 1.46938i | 0.678401 | + | 0.734692i | \(0.262673\pi\) | ||||
−0.678401 | + | 0.734692i | \(0.737327\pi\) | |||||||
\(578\) | 14.4464i | 0.600890i | ||||||||
\(579\) | 2.80119i | 0.116414i | ||||||||
\(580\) | 1.32852 | 0.0551638 | ||||||||
\(581\) | 9.16235 | + | 45.3689i | 0.380118 | + | 1.88222i | ||||
\(582\) | 2.53160i | 0.104938i | ||||||||
\(583\) | 11.0946i | 0.459491i | ||||||||
\(584\) | 9.16848 | 0.379394 | ||||||||
\(585\) | − | 1.20753i | − | 0.0499251i | ||||||
\(586\) | − | 26.4395i | − | 1.09221i | ||||||
\(587\) | 2.02100i | 0.0834157i | 0.999130 | + | 0.0417079i | \(0.0132799\pi\) | ||||
−0.999130 | + | 0.0417079i | \(0.986720\pi\) | |||||||
\(588\) | 6.45139 | − | 2.71654i | 0.266051 | − | 0.112028i | ||||
\(589\) | −7.43935 | + | 5.63320i | −0.306533 | + | 0.232112i | ||||
\(590\) | 5.42418 | 0.223310 | ||||||||
\(591\) | 25.8438 | 1.06307 | ||||||||
\(592\) | − | 5.04600i | − | 0.207389i | ||||||
\(593\) | − | 30.6794i | − | 1.25985i | −0.776656 | − | 0.629925i | \(-0.783086\pi\) | ||
0.776656 | − | 0.629925i | \(-0.216914\pi\) | |||||||
\(594\) | − | 0.891167i | − | 0.0365650i | ||||||
\(595\) | −7.06462 | + | 1.42672i | −0.289621 | + | 0.0584896i | ||||
\(596\) | 10.0744 | 0.412665 | ||||||||
\(597\) | 10.9515i | 0.448216i | ||||||||
\(598\) | 18.4384i | 0.754001i | ||||||||
\(599\) | 34.1802i | 1.39657i | 0.715822 | + | 0.698283i | \(0.246052\pi\) | ||||
−0.715822 | + | 0.698283i | \(0.753948\pi\) | |||||||
\(600\) | − | 4.76402i | − | 0.194490i | ||||||
\(601\) | −1.95391 | −0.0797016 | −0.0398508 | − | 0.999206i | \(-0.512688\pi\) | ||||
−0.0398508 | + | 0.999206i | \(0.512688\pi\) | |||||||
\(602\) | −0.325543 | − | 1.61198i | −0.0132681 | − | 0.0656994i | ||||
\(603\) | − | 8.29320i | − | 0.337725i | ||||||
\(604\) | 6.27565i | 0.255353i | ||||||||
\(605\) | − | 4.95773i | − | 0.201560i | ||||||
\(606\) | 1.95547 | 0.0794357 | ||||||||
\(607\) | −2.97381 | −0.120703 | −0.0603517 | − | 0.998177i | \(-0.519222\pi\) | ||||
−0.0603517 | + | 0.998177i | \(0.519222\pi\) | |||||||
\(608\) | −2.63136 | − | 3.47504i | −0.106716 | − | 0.140932i | ||||
\(609\) | −1.43236 | − | 7.09254i | −0.0580420 | − | 0.287404i | ||||
\(610\) | − | 2.85844i | − | 0.115735i | ||||||
\(611\) | − | 3.32994i | − | 0.134715i | ||||||
\(612\) | − | 5.60771i | − | 0.226678i | ||||||
\(613\) | −7.32225 | −0.295743 | −0.147871 | − | 0.989007i | \(-0.547242\pi\) | ||||
−0.147871 | + | 0.989007i | \(0.547242\pi\) | |||||||
\(614\) | 15.5724i | 0.628450i | ||||||||
\(615\) | − | 3.58281i | − | 0.144473i | ||||||
\(616\) | −0.466741 | − | 2.31115i | −0.0188055 | − | 0.0931188i | ||||
\(617\) | 1.84958 | 0.0744611 | 0.0372306 | − | 0.999307i | \(-0.488146\pi\) | ||||
0.0372306 | + | 0.999307i | \(0.488146\pi\) | |||||||
\(618\) | 14.8366i | 0.596815i | ||||||||
\(619\) | 13.4415i | 0.540260i | 0.962824 | + | 0.270130i | \(0.0870667\pi\) | ||||
−0.962824 | + | 0.270130i | \(0.912933\pi\) | |||||||
\(620\) | 1.03994i | 0.0417651i | ||||||||
\(621\) | −7.41755 | −0.297656 | ||||||||
\(622\) | −12.3207 | −0.494017 | ||||||||
\(623\) | −25.1662 | + | 5.08238i | −1.00826 | + | 0.203621i | ||||
\(624\) | 2.48577 | 0.0995106 | ||||||||
\(625\) | 21.5160 | 0.860641 | ||||||||
\(626\) | −1.79634 | −0.0717963 | ||||||||
\(627\) | 3.09684 | − | 2.34498i | 0.123676 | − | 0.0936496i | ||||
\(628\) | − | 16.0116i | − | 0.638932i | ||||||
\(629\) | 28.2965 | 1.12825 | ||||||||
\(630\) | 1.25980 | − | 0.254421i | 0.0501918 | − | 0.0101364i | ||||
\(631\) | −4.41110 | −0.175603 | −0.0878015 | − | 0.996138i | \(-0.527984\pi\) | ||||
−0.0878015 | + | 0.996138i | \(0.527984\pi\) | |||||||
\(632\) | −12.9087 | −0.513481 | ||||||||
\(633\) | − | 26.9244i | − | 1.07015i | ||||||
\(634\) | 1.03249 | 0.0410055 | ||||||||
\(635\) | −6.93330 | −0.275140 | ||||||||
\(636\) | − | 12.4495i | − | 0.493655i | ||||||
\(637\) | −16.0367 | + | 6.75270i | −0.635397 | + | 0.267552i | ||||
\(638\) | −2.43721 | −0.0964899 | ||||||||
\(639\) | 5.99757i | 0.237260i | ||||||||
\(640\) | −0.485775 | −0.0192019 | ||||||||
\(641\) | 10.7712i | 0.425436i | 0.977114 | + | 0.212718i | \(0.0682316\pi\) | ||||
−0.977114 | + | 0.212718i | \(0.931768\pi\) | |||||||
\(642\) | −9.12044 | −0.359955 | ||||||||
\(643\) | 1.99983i | 0.0788654i | 0.999222 | + | 0.0394327i | \(0.0125551\pi\) | ||||
−0.999222 | + | 0.0394327i | \(0.987445\pi\) | |||||||
\(644\) | −19.2366 | + | 3.88488i | −0.758030 | + | 0.153086i | ||||
\(645\) | − | 0.301943i | − | 0.0118890i | ||||||
\(646\) | 19.4870 | − | 14.7559i | 0.766707 | − | 0.580563i | ||||
\(647\) | − | 40.3103i | − | 1.58476i | −0.610028 | − | 0.792380i | \(-0.708842\pi\) | ||
0.610028 | − | 0.792380i | \(-0.291158\pi\) | |||||||
\(648\) | 1.00000i | 0.0392837i | ||||||||
\(649\) | −9.95081 | −0.390604 | ||||||||
\(650\) | 11.8423i | 0.464493i | ||||||||
\(651\) | 5.55192 | − | 1.12122i | 0.217597 | − | 0.0439442i | ||||
\(652\) | −15.0635 | −0.589934 | ||||||||
\(653\) | −41.4971 | −1.62391 | −0.811954 | − | 0.583721i | \(-0.801596\pi\) | ||||
−0.811954 | + | 0.583721i | \(0.801596\pi\) | |||||||
\(654\) | −3.34904 | −0.130958 | ||||||||
\(655\) | 3.57418 | 0.139655 | ||||||||
\(656\) | 7.37545 | 0.287963 | ||||||||
\(657\) | − | 9.16848i | − | 0.357696i | ||||||
\(658\) | 3.47411 | − | 0.701604i | 0.135435 | − | 0.0273514i | ||||
\(659\) | 6.05762i | 0.235972i | 0.993015 | + | 0.117986i | \(0.0376437\pi\) | ||||
−0.993015 | + | 0.117986i | \(0.962356\pi\) | |||||||
\(660\) | − | 0.432906i | − | 0.0168508i | ||||||
\(661\) | −25.2012 | −0.980211 | −0.490106 | − | 0.871663i | \(-0.663042\pi\) | ||||
−0.490106 | + | 0.871663i | \(0.663042\pi\) | |||||||
\(662\) | −32.2163 | −1.25212 | ||||||||
\(663\) | 13.9395i | 0.541365i | ||||||||
\(664\) | −17.4940 | −0.678900 | ||||||||
\(665\) | 4.19913 | + | 3.70841i | 0.162835 | + | 0.143806i | ||||
\(666\) | −5.04600 | −0.195528 | ||||||||
\(667\) | 20.2859i | 0.785473i | ||||||||
\(668\) | 15.0611 | 0.582732 | ||||||||
\(669\) | 5.27498 | 0.203943 | ||||||||
\(670\) | − | 4.02862i | − | 0.155639i | ||||||
\(671\) | 5.24389i | 0.202438i | ||||||||
\(672\) | 0.523742 | + | 2.59339i | 0.0202038 | + | 0.100042i | ||||
\(673\) | − | 0.511437i | − | 0.0197144i | −0.999951 | − | 0.00985722i | \(-0.996862\pi\) | ||
0.999951 | − | 0.00985722i | \(-0.00313770\pi\) | |||||||
\(674\) | −7.67408 | −0.295594 | ||||||||
\(675\) | −4.76402 | −0.183367 | ||||||||
\(676\) | 6.82092 | 0.262343 | ||||||||
\(677\) | −43.9533 | −1.68926 | −0.844631 | − | 0.535349i | \(-0.820180\pi\) | ||||
−0.844631 | + | 0.535349i | \(0.820180\pi\) | |||||||
\(678\) | −13.5907 | −0.521947 | ||||||||
\(679\) | 6.56543 | − | 1.32590i | 0.251958 | − | 0.0508836i | ||||
\(680\) | − | 2.72408i | − | 0.104464i | ||||||
\(681\) | 1.65074 | 0.0632567 | ||||||||
\(682\) | − | 1.90780i | − | 0.0730536i | ||||||
\(683\) | 21.6031i | 0.826620i | 0.910590 | + | 0.413310i | \(0.135627\pi\) | ||||
−0.910590 | + | 0.413310i | \(0.864373\pi\) | |||||||
\(684\) | −3.47504 | + | 2.63136i | −0.132872 | + | 0.100613i | ||||
\(685\) | − | 4.21094i | − | 0.160892i | ||||||
\(686\) | −10.4239 | − | 15.3082i | −0.397987 | − | 0.584471i | ||||
\(687\) | 24.5788i | 0.937742i | ||||||||
\(688\) | 0.621571 | 0.0236972 | ||||||||
\(689\) | 30.9467i | 1.17897i | ||||||||
\(690\) | −3.60326 | −0.137174 | ||||||||
\(691\) | 35.0173i | 1.33212i | 0.745897 | + | 0.666061i | \(0.232021\pi\) | ||||
−0.745897 | + | 0.666061i | \(0.767979\pi\) | |||||||
\(692\) | 5.48926 | 0.208670 | ||||||||
\(693\) | −2.31115 | + | 0.466741i | −0.0877932 | + | 0.0177300i | ||||
\(694\) | − | 12.6598i | − | 0.480558i | ||||||
\(695\) | 10.0347 | 0.380640 | ||||||||
\(696\) | 2.73485 | 0.103664 | ||||||||
\(697\) | 41.3594i | 1.56660i | ||||||||
\(698\) | 4.17532 | 0.158038 | ||||||||
\(699\) | 8.24684 | 0.311924 | ||||||||
\(700\) | −12.3550 | + | 2.49512i | −0.466975 | + | 0.0943066i | ||||
\(701\) | −10.9432 | −0.413320 | −0.206660 | − | 0.978413i | \(-0.566259\pi\) | ||||
−0.206660 | + | 0.978413i | \(0.566259\pi\) | |||||||
\(702\) | − | 2.48577i | − | 0.0938195i | ||||||
\(703\) | −13.2778 | − | 17.5351i | −0.500783 | − | 0.661347i | ||||
\(704\) | 0.891167 | 0.0335871 | ||||||||
\(705\) | 0.650742 | 0.0245084 | ||||||||
\(706\) | 9.19196 | 0.345944 | ||||||||
\(707\) | −1.02416 | − | 5.07131i | −0.0385176 | − | 0.190726i | ||||
\(708\) | 11.1661 | 0.419646 | ||||||||
\(709\) | −11.3792 | −0.427356 | −0.213678 | − | 0.976904i | \(-0.568544\pi\) | ||||
−0.213678 | + | 0.976904i | \(0.568544\pi\) | |||||||
\(710\) | 2.91347i | 0.109341i | ||||||||
\(711\) | 12.9087i | 0.484115i | ||||||||
\(712\) | − | 9.70397i | − | 0.363672i | ||||||
\(713\) | −15.8794 | −0.594690 | ||||||||
\(714\) | −14.5430 | + | 2.93699i | −0.544258 | + | 0.109914i | ||||
\(715\) | 1.07611i | 0.0402441i | ||||||||
\(716\) | − | 0.275291i | − | 0.0102881i | ||||||
\(717\) | 4.11049 | 0.153509 | ||||||||
\(718\) | 23.8550i | 0.890263i | ||||||||
\(719\) | − | 27.7716i | − | 1.03571i | −0.855470 | − | 0.517853i | \(-0.826731\pi\) | ||
0.855470 | − | 0.517853i | \(-0.173269\pi\) | |||||||
\(720\) | 0.485775i | 0.0181037i | ||||||||
\(721\) | 38.4771 | − | 7.77055i | 1.43296 | − | 0.289390i | ||||
\(722\) | −18.2882 | − | 5.15187i | −0.680616 | − | 0.191733i | ||||
\(723\) | 12.0763 | 0.449121 | ||||||||
\(724\) | −10.3631 | −0.385141 | ||||||||
\(725\) | 13.0289i | 0.483881i | ||||||||
\(726\) | − | 10.2058i | − | 0.378774i | ||||||
\(727\) | 34.3359i | 1.27345i | 0.771091 | + | 0.636725i | \(0.219711\pi\) | ||||
−0.771091 | + | 0.636725i | \(0.780289\pi\) | |||||||
\(728\) | −1.30190 | − | 6.44659i | −0.0482518 | − | 0.238927i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | − | 4.45381i | − | 0.164843i | ||||||
\(731\) | 3.48559i | 0.128919i | ||||||||
\(732\) | − | 5.88429i | − | 0.217490i | ||||||
\(733\) | − | 23.1388i | − | 0.854649i | −0.904098 | − | 0.427325i | \(-0.859456\pi\) | ||
0.904098 | − | 0.427325i | \(-0.140544\pi\) | |||||||
\(734\) | 33.4750 | 1.23558 | ||||||||
\(735\) | −1.31963 | − | 3.13392i | −0.0486751 | − | 0.115596i | ||||
\(736\) | − | 7.41755i | − | 0.273415i | ||||||
\(737\) | 7.39062i | 0.272237i | ||||||||
\(738\) | − | 7.37545i | − | 0.271494i | ||||||
\(739\) | −7.02692 | −0.258489 | −0.129245 | − | 0.991613i | \(-0.541255\pi\) | ||||
−0.129245 | + | 0.991613i | \(0.541255\pi\) | |||||||
\(740\) | −2.45122 | −0.0901085 | ||||||||
\(741\) | 8.63818 | − | 6.54097i | 0.317331 | − | 0.240289i | ||||
\(742\) | −32.2865 | + | 6.52033i | −1.18527 | + | 0.239369i | ||||
\(743\) | − | 16.2489i | − | 0.596114i | −0.954548 | − | 0.298057i | \(-0.903661\pi\) | ||
0.954548 | − | 0.298057i | \(-0.0963385\pi\) | |||||||
\(744\) | 2.14079i | 0.0784853i | ||||||||
\(745\) | − | 4.89391i | − | 0.179299i | ||||||
\(746\) | −28.1534 | −1.03077 | ||||||||
\(747\) | 17.4940i | 0.640073i | ||||||||
\(748\) | 4.99740i | 0.182723i | ||||||||
\(749\) | 4.77676 | + | 23.6529i | 0.174539 | + | 0.864258i | ||||
\(750\) | −4.74311 | −0.173194 | ||||||||
\(751\) | − | 40.7094i | − | 1.48551i | −0.669564 | − | 0.742754i | \(-0.733519\pi\) | ||
0.669564 | − | 0.742754i | \(-0.266481\pi\) | |||||||
\(752\) | 1.33960i | 0.0488501i | ||||||||
\(753\) | 14.9744i | 0.545698i | ||||||||
\(754\) | −6.79822 | −0.247577 | ||||||||
\(755\) | 3.04855 | 0.110948 | ||||||||
\(756\) | 2.59339 | − | 0.523742i | 0.0943208 | − | 0.0190483i | ||||
\(757\) | −0.674342 | −0.0245094 | −0.0122547 | − | 0.999925i | \(-0.503901\pi\) | ||||
−0.0122547 | + | 0.999925i | \(0.503901\pi\) | |||||||
\(758\) | −4.63390 | −0.168311 | ||||||||
\(759\) | 6.61028 | 0.239938 | ||||||||
\(760\) | −1.68809 | + | 1.27825i | −0.0612334 | + | 0.0463669i | ||||
\(761\) | − | 48.1903i | − | 1.74690i | −0.486915 | − | 0.873449i | \(-0.661878\pi\) | ||
0.486915 | − | 0.873449i | \(-0.338122\pi\) | |||||||
\(762\) | −14.2727 | −0.517044 | ||||||||
\(763\) | 1.75403 | + | 8.68538i | 0.0635003 | + | 0.314432i | ||||
\(764\) | 2.13337 | 0.0771826 | ||||||||
\(765\) | −2.72408 | −0.0984893 | ||||||||
\(766\) | 28.0882i | 1.01487i | ||||||||
\(767\) | −27.7563 | −1.00222 | ||||||||
\(768\) | −1.00000 | −0.0360844 | ||||||||
\(769\) | 1.93313i | 0.0697104i | 0.999392 | + | 0.0348552i | \(0.0110970\pi\) | ||||
−0.999392 | + | 0.0348552i | \(0.988903\pi\) | |||||||
\(770\) | −1.12270 | + | 0.226731i | −0.0404592 | + | 0.00817082i | ||||
\(771\) | −6.10268 | −0.219783 | ||||||||
\(772\) | 2.80119i | 0.100817i | ||||||||
\(773\) | 34.5412 | 1.24236 | 0.621180 | − | 0.783668i | \(-0.286654\pi\) | ||||
0.621180 | + | 0.783668i | \(0.286654\pi\) | |||||||
\(774\) | − | 0.621571i | − | 0.0223419i | ||||||
\(775\) | −10.1988 | −0.366351 | ||||||||
\(776\) | 2.53160i | 0.0908791i | ||||||||
\(777\) | 2.64280 | + | 13.0863i | 0.0948099 | + | 0.469467i | ||||
\(778\) | 18.5829i | 0.666231i | ||||||||
\(779\) | 25.6300 | − | 19.4075i | 0.918291 | − | 0.695345i | ||||
\(780\) | − | 1.20753i | − | 0.0432364i | ||||||
\(781\) | − | 5.34484i | − | 0.191253i | ||||||
\(782\) | 41.5955 | 1.48745 | ||||||||
\(783\) | − | 2.73485i | − | 0.0977355i | ||||||
\(784\) | 6.45139 | − | 2.71654i | 0.230407 | − | 0.0970193i | ||||
\(785\) | −7.77802 | −0.277609 | ||||||||
\(786\) | 7.35769 | 0.262440 | ||||||||
\(787\) | −24.8459 | −0.885660 | −0.442830 | − | 0.896606i | \(-0.646025\pi\) | ||||
−0.442830 | + | 0.896606i | \(0.646025\pi\) | |||||||
\(788\) | 25.8438 | 0.920647 | ||||||||
\(789\) | −14.7967 | −0.526777 | ||||||||
\(790\) | 6.27072i | 0.223102i | ||||||||
\(791\) | 7.11802 | + | 35.2460i | 0.253088 | + | 1.25320i | ||||
\(792\) | − | 0.891167i | − | 0.0316662i | ||||||
\(793\) | 14.6270i | 0.519421i | ||||||||
\(794\) | −2.48117 | −0.0880533 | ||||||||
\(795\) | −6.04766 | −0.214488 | ||||||||
\(796\) | 10.9515i | 0.388167i | ||||||||
\(797\) | −24.7778 | −0.877676 | −0.438838 | − | 0.898566i | \(-0.644610\pi\) | ||||
−0.438838 | + | 0.898566i | \(0.644610\pi\) | |||||||
\(798\) | 8.64419 | + | 7.63401i | 0.306001 | + | 0.270241i | ||||
\(799\) | −7.51207 | −0.265758 | ||||||||
\(800\) | − | 4.76402i | − | 0.168434i | ||||||
\(801\) | −9.70397 | −0.342873 | ||||||||
\(802\) | −15.8800 | −0.560742 | ||||||||
\(803\) | 8.17064i | 0.288336i | ||||||||
\(804\) | − | 8.29320i | − | 0.292478i | ||||||
\(805\) | 1.88718 | + | 9.34467i | 0.0665143 | + | 0.329356i | ||||
\(806\) | − | 5.32153i | − | 0.187443i | ||||||
\(807\) | −10.5582 | −0.371666 | ||||||||
\(808\) | 1.95547 | 0.0687933 | ||||||||
\(809\) | 41.3361 | 1.45330 | 0.726650 | − | 0.687008i | \(-0.241076\pi\) | ||||
0.726650 | + | 0.687008i | \(0.241076\pi\) | |||||||
\(810\) | 0.485775 | 0.0170684 | ||||||||
\(811\) | −35.1844 | −1.23549 | −0.617745 | − | 0.786378i | \(-0.711954\pi\) | ||||
−0.617745 | + | 0.786378i | \(0.711954\pi\) | |||||||
\(812\) | −1.43236 | − | 7.09254i | −0.0502658 | − | 0.248899i | ||||
\(813\) | − | 13.1357i | − | 0.460690i | ||||||
\(814\) | 4.49682 | 0.157614 | ||||||||
\(815\) | 7.31749i | 0.256320i | ||||||||
\(816\) | − | 5.60771i | − | 0.196309i | ||||||
\(817\) | 2.15999 | − | 1.63558i | 0.0755684 | − | 0.0572216i | ||||
\(818\) | 11.8039i | 0.412714i | ||||||||
\(819\) | −6.44659 | + | 1.30190i | −0.225262 | + | 0.0454922i | ||||
\(820\) | − | 3.58281i | − | 0.125117i | ||||||
\(821\) | −21.0286 | −0.733902 | −0.366951 | − | 0.930240i | \(-0.619598\pi\) | ||||
−0.366951 | + | 0.930240i | \(0.619598\pi\) | |||||||
\(822\) | − | 8.66850i | − | 0.302349i | ||||||
\(823\) | −48.0745 | −1.67577 | −0.837886 | − | 0.545846i | \(-0.816208\pi\) | ||||
−0.837886 | + | 0.545846i | \(0.816208\pi\) | |||||||
\(824\) | 14.8366i | 0.516857i | ||||||||
\(825\) | 4.24554 | 0.147811 | ||||||||
\(826\) | −5.84813 | − | 28.9580i | −0.203482 | − | 1.00758i | ||||
\(827\) | 33.7556i | 1.17380i | 0.809661 | + | 0.586898i | \(0.199651\pi\) | ||||
−0.809661 | + | 0.586898i | \(0.800349\pi\) | |||||||
\(828\) | −7.41755 | −0.257778 | ||||||||
\(829\) | −39.5293 | −1.37291 | −0.686454 | − | 0.727173i | \(-0.740834\pi\) | ||||
−0.686454 | + | 0.727173i | \(0.740834\pi\) | |||||||
\(830\) | 8.49815i | 0.294975i | ||||||||
\(831\) | 23.6200 | 0.819370 | ||||||||
\(832\) | 2.48577 | 0.0861787 | ||||||||
\(833\) | 15.2336 | + | 36.1775i | 0.527811 | + | 1.25348i | ||||
\(834\) | 20.6572 | 0.715301 | ||||||||
\(835\) | − | 7.31631i | − | 0.253191i | ||||||
\(836\) | 3.09684 | − | 2.34498i | 0.107107 | − | 0.0811029i | ||||
\(837\) | 2.14079 | 0.0739966 | ||||||||
\(838\) | −28.1019 | −0.970763 | ||||||||
\(839\) | −45.9394 | −1.58600 | −0.793002 | − | 0.609219i | \(-0.791483\pi\) | ||||
−0.793002 | + | 0.609219i | \(0.791483\pi\) | |||||||
\(840\) | 1.25980 | − | 0.254421i | 0.0434674 | − | 0.00877834i | ||||
\(841\) | 21.5206 | 0.742090 | ||||||||
\(842\) | −12.1232 | −0.417793 | ||||||||
\(843\) | 8.15906i | 0.281013i | ||||||||
\(844\) | − | 26.9244i | − | 0.926775i | ||||||
\(845\) | − | 3.31343i | − | 0.113986i | ||||||
\(846\) | 1.33960 | 0.0460563 | ||||||||
\(847\) | −26.4677 | + | 5.34522i | −0.909442 | + | 0.183664i | ||||
\(848\) | − | 12.4495i | − | 0.427518i | ||||||
\(849\) | − | 32.6524i | − | 1.12063i | ||||||
\(850\) | 26.7152 | 0.916325 | ||||||||
\(851\) | − | 37.4289i | − | 1.28305i | ||||||
\(852\) | 5.99757i | 0.205473i | ||||||||
\(853\) | 38.3361i | 1.31260i | 0.754498 | + | 0.656302i | \(0.227880\pi\) | ||||
−0.754498 | + | 0.656302i | \(0.772120\pi\) | |||||||
\(854\) | −15.2603 | + | 3.08185i | −0.522197 | + | 0.105459i | ||||
\(855\) | 1.27825 | + | 1.68809i | 0.0437152 | + | 0.0577314i | ||||
\(856\) | −9.12044 | −0.311730 | ||||||||
\(857\) | 7.06201 | 0.241234 | 0.120617 | − | 0.992699i | \(-0.461513\pi\) | ||||
0.120617 | + | 0.992699i | \(0.461513\pi\) | |||||||
\(858\) | 2.21524i | 0.0756270i | ||||||||
\(859\) | − | 26.0122i | − | 0.887524i | −0.896145 | − | 0.443762i | \(-0.853644\pi\) | ||
0.896145 | − | 0.443762i | \(-0.146356\pi\) | |||||||
\(860\) | − | 0.301943i | − | 0.0102962i | ||||||
\(861\) | −19.1275 | + | 3.86283i | −0.651862 | + | 0.131645i | ||||
\(862\) | −28.7367 | −0.978777 | ||||||||
\(863\) | 0.119494i | 0.00406763i | 0.999998 | + | 0.00203382i | \(0.000647385\pi\) | ||||
−0.999998 | + | 0.00203382i | \(0.999353\pi\) | |||||||
\(864\) | 1.00000i | 0.0340207i | ||||||||
\(865\) | − | 2.66654i | − | 0.0906651i | ||||||
\(866\) | 18.4055i | 0.625444i | ||||||||
\(867\) | 14.4464 | 0.490624 | ||||||||
\(868\) | 5.55192 | − | 1.12122i | 0.188444 | − | 0.0380568i | ||||
\(869\) | − | 11.5038i | − | 0.390240i | ||||||
\(870\) | − | 1.32852i | − | 0.0450411i | ||||||
\(871\) | 20.6150i | 0.698513i | ||||||||
\(872\) | −3.34904 | −0.113413 | ||||||||
\(873\) | 2.53160 | 0.0856816 | ||||||||
\(874\) | −19.5183 | − | 25.7763i | −0.660215 | − | 0.871897i | ||||
\(875\) | 2.48417 | + | 12.3008i | 0.0839802 | + | 0.415842i | ||||
\(876\) | − | 9.16848i | − | 0.309774i | ||||||
\(877\) | − | 37.3530i | − | 1.26132i | −0.776059 | − | 0.630660i | \(-0.782784\pi\) | ||
0.776059 | − | 0.630660i | \(-0.217216\pi\) | |||||||
\(878\) | − | 24.8635i | − | 0.839103i | ||||||
\(879\) | −26.4395 | −0.891784 | ||||||||
\(880\) | − | 0.432906i | − | 0.0145933i | ||||||
\(881\) | − | 49.1797i | − | 1.65690i | −0.560060 | − | 0.828452i | \(-0.689222\pi\) | ||
0.560060 | − | 0.828452i | \(-0.310778\pi\) | |||||||
\(882\) | −2.71654 | − | 6.45139i | −0.0914706 | − | 0.217230i | ||||
\(883\) | 31.5676 | 1.06233 | 0.531166 | − | 0.847268i | \(-0.321754\pi\) | ||||
0.531166 | + | 0.847268i | \(0.321754\pi\) | |||||||
\(884\) | 13.9395i | 0.468836i | ||||||||
\(885\) | − | 5.42418i | − | 0.182332i | ||||||
\(886\) | 0.911526i | 0.0306233i | ||||||||
\(887\) | −8.95891 | −0.300811 | −0.150405 | − | 0.988624i | \(-0.548058\pi\) | ||||
−0.150405 | + | 0.988624i | \(0.548058\pi\) | |||||||
\(888\) | −5.04600 | −0.169333 | ||||||||
\(889\) | 7.47520 | + | 37.0147i | 0.250710 | + | 1.24143i | ||||
\(890\) | −4.71394 | −0.158012 | ||||||||
\(891\) | −0.891167 | −0.0298552 | ||||||||
\(892\) | 5.27498 | 0.176619 | ||||||||
\(893\) | 3.52497 | + | 4.65516i | 0.117959 | + | 0.155779i | ||||
\(894\) | − | 10.0744i | − | 0.336940i | ||||||
\(895\) | −0.133729 | −0.00447008 | ||||||||
\(896\) | 0.523742 | + | 2.59339i | 0.0174970 | + | 0.0866392i | ||||
\(897\) | 18.4384 | 0.615639 | ||||||||
\(898\) | 16.3156 | 0.544458 | ||||||||
\(899\) | − | 5.85474i | − | 0.195267i | ||||||
\(900\) | −4.76402 | −0.158801 | ||||||||
\(901\) | 69.8132 | 2.32582 | ||||||||
\(902\) | 6.57276i | 0.218849i | ||||||||
\(903\) | −1.61198 | + | 0.325543i | −0.0536433 | + | 0.0108334i | ||||
\(904\) | −13.5907 | −0.452020 | ||||||||
\(905\) | 5.03412i | 0.167340i | ||||||||
\(906\) | 6.27565 | 0.208494 | ||||||||
\(907\) | 47.4166i | 1.57444i | 0.616671 | + | 0.787221i | \(0.288481\pi\) | ||||
−0.616671 | + | 0.787221i | \(0.711519\pi\) | |||||||
\(908\) | 1.65074 | 0.0547819 | ||||||||
\(909\) | − | 1.95547i | − | 0.0648590i | ||||||
\(910\) | −3.13159 | + | 0.632432i | −0.103811 | + | 0.0209649i | ||||
\(911\) | − | 4.93940i | − | 0.163650i | −0.996647 | − | 0.0818249i | \(-0.973925\pi\) | ||
0.996647 | − | 0.0818249i | \(-0.0260748\pi\) | |||||||
\(912\) | −3.47504 | + | 2.63136i | −0.115070 | + | 0.0871331i | ||||
\(913\) | − | 15.5901i | − | 0.515957i | ||||||
\(914\) | − | 5.83109i | − | 0.192875i | ||||||
\(915\) | −2.85844 | −0.0944971 | ||||||||
\(916\) | 24.5788i | 0.812108i | ||||||||
\(917\) | −3.85353 | − | 19.0814i | −0.127255 | − | 0.630123i | ||||
\(918\) | −5.60771 | −0.185082 | ||||||||
\(919\) | 32.4315 | 1.06982 | 0.534909 | − | 0.844910i | \(-0.320346\pi\) | ||||
0.534909 | + | 0.844910i | \(0.320346\pi\) | |||||||
\(920\) | −3.60326 | −0.118796 | ||||||||
\(921\) | 15.5724 | 0.513127 | ||||||||
\(922\) | 35.3279 | 1.16346 | ||||||||
\(923\) | − | 14.9086i | − | 0.490723i | ||||||
\(924\) | −2.31115 | + | 0.466741i | −0.0760311 | + | 0.0153547i | ||||
\(925\) | − | 24.0392i | − | 0.790405i | ||||||
\(926\) | − | 15.5104i | − | 0.509704i | ||||||
\(927\) | 14.8366 | 0.487298 | ||||||||
\(928\) | 2.73485 | 0.0897758 | ||||||||
\(929\) | 34.2591i | 1.12400i | 0.827136 | + | 0.562002i | \(0.189969\pi\) | ||||
−0.827136 | + | 0.562002i | \(0.810031\pi\) | |||||||
\(930\) | 1.03994 | 0.0341011 | ||||||||
\(931\) | 15.2707 | − | 26.4160i | 0.500476 | − | 0.865750i | ||||
\(932\) | 8.24684 | 0.270134 | ||||||||
\(933\) | 12.3207i | 0.403363i | ||||||||
\(934\) | 9.72058 | 0.318067 | ||||||||
\(935\) | 2.42761 | 0.0793913 | ||||||||
\(936\) | − | 2.48577i | − | 0.0812501i | ||||||
\(937\) | 13.7815i | 0.450222i | 0.974333 | + | 0.225111i | \(0.0722745\pi\) | ||||
−0.974333 | + | 0.225111i | \(0.927726\pi\) | |||||||
\(938\) | −21.5075 | + | 4.34349i | −0.702246 | + | 0.141820i | ||||
\(939\) | 1.79634i | 0.0586214i | ||||||||
\(940\) | 0.650742 | 0.0212249 | ||||||||
\(941\) | −31.7858 | −1.03619 | −0.518093 | − | 0.855324i | \(-0.673358\pi\) | ||||
−0.518093 | + | 0.855324i | \(0.673358\pi\) | |||||||
\(942\) | −16.0116 | −0.521686 | ||||||||
\(943\) | 54.7078 | 1.78153 | ||||||||
\(944\) | 11.1661 | 0.363424 | ||||||||
\(945\) | −0.254421 | − | 1.25980i | −0.00827630 | − | 0.0409815i | ||||
\(946\) | 0.553924i | 0.0180096i | ||||||||
\(947\) | −14.1047 | −0.458341 | −0.229171 | − | 0.973386i | \(-0.573601\pi\) | ||||
−0.229171 | + | 0.973386i | \(0.573601\pi\) | |||||||
\(948\) | 12.9087i | 0.419255i | ||||||||
\(949\) | 22.7908i | 0.739820i | ||||||||
\(950\) | −12.5359 | − | 16.5552i | −0.406717 | − | 0.537121i | ||||
\(951\) | − | 1.03249i | − | 0.0334808i | ||||||
\(952\) | −14.5430 | + | 2.93699i | −0.471341 | + | 0.0951884i | ||||
\(953\) | − | 31.6228i | − | 1.02436i | −0.858877 | − | 0.512182i | \(-0.828837\pi\) | ||
0.858877 | − | 0.512182i | \(-0.171163\pi\) | |||||||
\(954\) | −12.4495 | −0.403068 | ||||||||
\(955\) | − | 1.03634i | − | 0.0335351i | ||||||
\(956\) | 4.11049 | 0.132943 | ||||||||
\(957\) | 2.43721i | 0.0787837i | ||||||||
\(958\) | −9.76640 | −0.315538 | ||||||||
\(959\) | −22.4809 | + | 4.54006i | −0.725945 | + | 0.146606i | ||||
\(960\) | 0.485775i | 0.0156783i | ||||||||
\(961\) | −26.4170 | −0.852162 | ||||||||
\(962\) | 12.5432 | 0.404409 | ||||||||
\(963\) | 9.12044i | 0.293902i | ||||||||
\(964\) | 12.0763 | 0.388950 | ||||||||
\(965\) | 1.36075 | 0.0438041 | ||||||||
\(966\) | 3.88488 | + | 19.2366i | 0.124994 | + | 0.618929i | ||||
\(967\) | 30.5646 | 0.982891 | 0.491445 | − | 0.870908i | \(-0.336469\pi\) | ||||
0.491445 | + | 0.870908i | \(0.336469\pi\) | |||||||
\(968\) | − | 10.2058i | − | 0.328028i | ||||||
\(969\) | −14.7559 | − | 19.4870i | −0.474028 | − | 0.626014i | ||||
\(970\) | 1.22979 | 0.0394861 | ||||||||
\(971\) | −6.99370 | −0.224439 | −0.112219 | − | 0.993683i | \(-0.535796\pi\) | ||||
−0.112219 | + | 0.993683i | \(0.535796\pi\) | |||||||
\(972\) | 1.00000 | 0.0320750 | ||||||||
\(973\) | −10.8190 | − | 53.5723i | −0.346843 | − | 1.71745i | ||||
\(974\) | −2.38139 | −0.0763045 | ||||||||
\(975\) | 11.8423 | 0.379257 | ||||||||
\(976\) | − | 5.88429i | − | 0.188352i | ||||||
\(977\) | 46.2954i | 1.48112i | 0.671990 | + | 0.740560i | \(0.265440\pi\) | ||||
−0.671990 | + | 0.740560i | \(0.734560\pi\) | |||||||
\(978\) | 15.0635i | 0.481679i | ||||||||
\(979\) | 8.64786 | 0.276387 | ||||||||
\(980\) | −1.31963 | − | 3.13392i | −0.0421539 | − | 0.100109i | ||||
\(981\) | 3.34904i | 0.106927i | ||||||||
\(982\) | − | 16.6491i | − | 0.531293i | ||||||
\(983\) | −22.1124 | −0.705278 | −0.352639 | − | 0.935760i | \(-0.614716\pi\) | ||||
−0.352639 | + | 0.935760i | \(0.614716\pi\) | |||||||
\(984\) | − | 7.37545i | − | 0.235121i | ||||||
\(985\) | − | 12.5543i | − | 0.400012i | ||||||
\(986\) | 15.3362i | 0.488405i | ||||||||
\(987\) | −0.701604 | − | 3.47411i | −0.0223323 | − | 0.110582i | ||||
\(988\) | 8.63818 | − | 6.54097i | 0.274817 | − | 0.208096i | ||||
\(989\) | 4.61054 | 0.146607 | ||||||||
\(990\) | −0.432906 | −0.0137587 | ||||||||
\(991\) | − | 50.2105i | − | 1.59499i | −0.603326 | − | 0.797494i | \(-0.706158\pi\) | ||
0.603326 | − | 0.797494i | \(-0.293842\pi\) | |||||||
\(992\) | 2.14079i | 0.0679702i | ||||||||
\(993\) | 32.2163i | 1.02235i | ||||||||
\(994\) | 15.5541 | − | 3.14118i | 0.493345 | − | 0.0996322i | ||||
\(995\) | 5.31998 | 0.168655 | ||||||||
\(996\) | 17.4940i | 0.554319i | ||||||||
\(997\) | − | 10.4887i | − | 0.332182i | −0.986110 | − | 0.166091i | \(-0.946886\pi\) | ||
0.986110 | − | 0.166091i | \(-0.0531145\pi\) | |||||||
\(998\) | 35.8702i | 1.13545i | ||||||||
\(999\) | 5.04600i | 0.159648i |
(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 | 798.2.e.a.265.4 | ✓ | 12 | |
3.2 | odd | 2 | 2394.2.e.a.1063.9 | 12 | |||
7.6 | odd | 2 | 798.2.e.b.265.3 | yes | 12 | ||
19.18 | odd | 2 | 798.2.e.b.265.10 | yes | 12 | ||
21.20 | even | 2 | 2394.2.e.b.1063.10 | 12 | |||
57.56 | even | 2 | 2394.2.e.b.1063.3 | 12 | |||
133.132 | even | 2 | inner | 798.2.e.a.265.9 | yes | 12 | |
399.398 | odd | 2 | 2394.2.e.a.1063.4 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
798.2.e.a.265.4 | ✓ | 12 | 1.1 | even | 1 | trivial | |
798.2.e.a.265.9 | yes | 12 | 133.132 | even | 2 | inner | |
798.2.e.b.265.3 | yes | 12 | 7.6 | odd | 2 | ||
798.2.e.b.265.10 | yes | 12 | 19.18 | odd | 2 | ||
2394.2.e.a.1063.4 | 12 | 399.398 | odd | 2 | |||
2394.2.e.a.1063.9 | 12 | 3.2 | odd | 2 | |||
2394.2.e.b.1063.3 | 12 | 57.56 | even | 2 | |||
2394.2.e.b.1063.10 | 12 | 21.20 | even | 2 |