Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [390,2,Mod(7,390)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(390, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("390.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 390.bd (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.11416567883\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 37.2 | ||
Root | \(0.258819 + 0.965926i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 390.37 |
Dual form | 390.2.bd.a.253.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).
\(n\) | \(131\) | \(157\) | \(301\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{7}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | + | 0.500000i | −0.612372 | + | 0.353553i | ||||
\(3\) | 0.965926 | + | 0.258819i | 0.557678 | + | 0.149429i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | −2.12132 | − | 0.707107i | −0.948683 | − | 0.316228i | ||||
\(6\) | −0.965926 | + | 0.258819i | −0.394338 | + | 0.105662i | ||||
\(7\) | 2.29788 | − | 3.98004i | 0.868516 | − | 1.50431i | 0.00500265 | − | 0.999987i | \(-0.498408\pi\) |
0.863513 | − | 0.504326i | \(-0.168259\pi\) | |||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0.866025 | + | 0.500000i | 0.288675 | + | 0.166667i | ||||
\(10\) | 2.19067 | − | 0.448288i | 0.692751 | − | 0.141761i | ||||
\(11\) | −3.47323 | − | 0.930650i | −1.04722 | − | 0.280601i | −0.306117 | − | 0.951994i | \(-0.599030\pi\) |
−0.741102 | + | 0.671393i | \(0.765696\pi\) | |||||||
\(12\) | 0.707107 | − | 0.707107i | 0.204124 | − | 0.204124i | ||||
\(13\) | −3.53553 | + | 0.707107i | −0.980581 | + | 0.196116i | ||||
\(14\) | 4.59575i | 1.22827i | ||||||||
\(15\) | −1.86603 | − | 1.23205i | −0.481806 | − | 0.318114i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −0.401302 | − | 1.49768i | −0.0973299 | − | 0.363240i | 0.900032 | − | 0.435823i | \(-0.143543\pi\) |
−0.997362 | + | 0.0725826i | \(0.976876\pi\) | |||||||
\(18\) | −1.00000 | −0.235702 | ||||||||
\(19\) | −1.97506 | − | 7.37101i | −0.453109 | − | 1.69103i | −0.693589 | − | 0.720371i | \(-0.743971\pi\) |
0.240480 | − | 0.970654i | \(-0.422695\pi\) | |||||||
\(20\) | −1.67303 | + | 1.48356i | −0.374101 | + | 0.331735i | ||||
\(21\) | 3.24969 | − | 3.24969i | 0.709140 | − | 0.709140i | ||||
\(22\) | 3.47323 | − | 0.930650i | 0.740495 | − | 0.198415i | ||||
\(23\) | 0.298499 | − | 1.11401i | 0.0622414 | − | 0.232288i | −0.927797 | − | 0.373085i | \(-0.878300\pi\) |
0.990038 | + | 0.140797i | \(0.0449666\pi\) | |||||||
\(24\) | −0.258819 | + | 0.965926i | −0.0528312 | + | 0.197169i | ||||
\(25\) | 4.00000 | + | 3.00000i | 0.800000 | + | 0.600000i | ||||
\(26\) | 2.70831 | − | 2.38014i | 0.531143 | − | 0.466784i | ||||
\(27\) | 0.707107 | + | 0.707107i | 0.136083 | + | 0.136083i | ||||
\(28\) | −2.29788 | − | 3.98004i | −0.434258 | − | 0.752157i | ||||
\(29\) | 4.97589 | − | 2.87283i | 0.924000 | − | 0.533472i | 0.0390912 | − | 0.999236i | \(-0.487554\pi\) |
0.884909 | + | 0.465764i | \(0.154220\pi\) | |||||||
\(30\) | 2.23205 | + | 0.133975i | 0.407515 | + | 0.0244603i | ||||
\(31\) | −0.351414 | − | 0.351414i | −0.0631157 | − | 0.0631157i | 0.674844 | − | 0.737960i | \(-0.264211\pi\) |
−0.737960 | + | 0.674844i | \(0.764211\pi\) | |||||||
\(32\) | 0.866025 | + | 0.500000i | 0.153093 | + | 0.0883883i | ||||
\(33\) | −3.11401 | − | 1.79788i | −0.542080 | − | 0.312970i | ||||
\(34\) | 1.09638 | + | 1.09638i | 0.188027 | + | 0.188027i | ||||
\(35\) | −7.68885 | + | 6.81809i | −1.29965 | + | 1.15247i | ||||
\(36\) | 0.866025 | − | 0.500000i | 0.144338 | − | 0.0833333i | ||||
\(37\) | 5.11219 | + | 8.85457i | 0.840439 | + | 1.45568i | 0.889524 | + | 0.456888i | \(0.151036\pi\) |
−0.0490852 | + | 0.998795i | \(0.515631\pi\) | |||||||
\(38\) | 5.39595 | + | 5.39595i | 0.875339 | + | 0.875339i | ||||
\(39\) | −3.59808 | − | 0.232051i | −0.576153 | − | 0.0371579i | ||||
\(40\) | 0.707107 | − | 2.12132i | 0.111803 | − | 0.335410i | ||||
\(41\) | 1.93720 | − | 7.22973i | 0.302540 | − | 1.12909i | −0.632503 | − | 0.774558i | \(-0.717972\pi\) |
0.935042 | − | 0.354536i | \(-0.115361\pi\) | |||||||
\(42\) | −1.18947 | + | 4.43916i | −0.183539 | + | 0.684977i | ||||
\(43\) | 1.38014 | − | 0.369807i | 0.210469 | − | 0.0563951i | −0.152044 | − | 0.988374i | \(-0.548585\pi\) |
0.362513 | + | 0.931979i | \(0.381919\pi\) | |||||||
\(44\) | −2.54258 | + | 2.54258i | −0.383309 | + | 0.383309i | ||||
\(45\) | −1.48356 | − | 1.67303i | −0.221157 | − | 0.249401i | ||||
\(46\) | 0.298499 | + | 1.11401i | 0.0440113 | + | 0.164252i | ||||
\(47\) | 6.76733 | 0.987116 | 0.493558 | − | 0.869713i | \(-0.335696\pi\) | ||||
0.493558 | + | 0.869713i | \(0.335696\pi\) | |||||||
\(48\) | −0.258819 | − | 0.965926i | −0.0373573 | − | 0.139419i | ||||
\(49\) | −7.06048 | − | 12.2291i | −1.00864 | − | 1.74702i | ||||
\(50\) | −4.96410 | − | 0.598076i | −0.702030 | − | 0.0845807i | ||||
\(51\) | − | 1.55051i | − | 0.217115i | ||||||
\(52\) | −1.15539 | + | 3.41542i | −0.160224 | + | 0.473633i | ||||
\(53\) | −8.92820 | + | 8.92820i | −1.22638 | + | 1.22638i | −0.261061 | + | 0.965322i | \(0.584072\pi\) |
−0.965322 | + | 0.261061i | \(0.915928\pi\) | |||||||
\(54\) | −0.965926 | − | 0.258819i | −0.131446 | − | 0.0352208i | ||||
\(55\) | 6.70977 | + | 4.43015i | 0.904745 | + | 0.597362i | ||||
\(56\) | 3.98004 | + | 2.29788i | 0.531855 | + | 0.307067i | ||||
\(57\) | − | 7.63103i | − | 1.01075i | ||||||
\(58\) | −2.87283 | + | 4.97589i | −0.377222 | + | 0.653367i | ||||
\(59\) | 8.74786 | − | 2.34398i | 1.13887 | − | 0.305161i | 0.360376 | − | 0.932807i | \(-0.382648\pi\) |
0.778499 | + | 0.627646i | \(0.215982\pi\) | |||||||
\(60\) | −2.00000 | + | 1.00000i | −0.258199 | + | 0.129099i | ||||
\(61\) | 0.721719 | − | 1.25005i | 0.0924066 | − | 0.160053i | −0.816117 | − | 0.577887i | \(-0.803877\pi\) |
0.908523 | + | 0.417834i | \(0.137211\pi\) | |||||||
\(62\) | 0.480040 | + | 0.128626i | 0.0609651 | + | 0.0163356i | ||||
\(63\) | 3.98004 | − | 2.29788i | 0.501438 | − | 0.289505i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 8.00000 | + | 1.00000i | 0.992278 | + | 0.124035i | ||||
\(66\) | 3.59575 | 0.442607 | ||||||||
\(67\) | −0.210133 | + | 0.121320i | −0.0256718 | + | 0.0148216i | −0.512781 | − | 0.858519i | \(-0.671385\pi\) |
0.487109 | + | 0.873341i | \(0.338051\pi\) | |||||||
\(68\) | −1.49768 | − | 0.401302i | −0.181620 | − | 0.0486650i | ||||
\(69\) | 0.576656 | − | 0.998798i | 0.0694213 | − | 0.120241i | ||||
\(70\) | 3.24969 | − | 9.74907i | 0.388412 | − | 1.16524i | ||||
\(71\) | −7.94182 | + | 2.12800i | −0.942521 | + | 0.252548i | −0.697186 | − | 0.716891i | \(-0.745565\pi\) |
−0.245335 | + | 0.969438i | \(0.578898\pi\) | |||||||
\(72\) | −0.500000 | + | 0.866025i | −0.0589256 | + | 0.102062i | ||||
\(73\) | − | 3.79655i | − | 0.444353i | −0.975007 | − | 0.222176i | \(-0.928684\pi\) | ||
0.975007 | − | 0.222176i | \(-0.0713161\pi\) | |||||||
\(74\) | −8.85457 | − | 5.11219i | −1.02932 | − | 0.594280i | ||||
\(75\) | 3.08725 | + | 3.93305i | 0.356484 | + | 0.454150i | ||||
\(76\) | −7.37101 | − | 1.97506i | −0.845513 | − | 0.226554i | ||||
\(77\) | −11.6851 | + | 11.6851i | −1.33164 | + | 1.33164i | ||||
\(78\) | 3.23205 | − | 1.59808i | 0.365958 | − | 0.180946i | ||||
\(79\) | − | 2.76393i | − | 0.310966i | −0.987839 | − | 0.155483i | \(-0.950307\pi\) | ||
0.987839 | − | 0.155483i | \(-0.0496934\pi\) | |||||||
\(80\) | 0.448288 | + | 2.19067i | 0.0501201 | + | 0.244924i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | 1.93720 | + | 7.22973i | 0.213928 | + | 0.798390i | ||||
\(83\) | −8.75611 | −0.961108 | −0.480554 | − | 0.876965i | \(-0.659564\pi\) | ||||
−0.480554 | + | 0.876965i | \(0.659564\pi\) | |||||||
\(84\) | −1.18947 | − | 4.43916i | −0.129782 | − | 0.484352i | ||||
\(85\) | −0.207729 | + | 3.46082i | −0.0225314 | + | 0.375378i | ||||
\(86\) | −1.01033 | + | 1.01033i | −0.108947 | + | 0.108947i | ||||
\(87\) | 5.54989 | − | 1.48709i | 0.595010 | − | 0.159433i | ||||
\(88\) | 0.930650 | − | 3.47323i | 0.0992076 | − | 0.370248i | ||||
\(89\) | 0.166225 | − | 0.620358i | 0.0176198 | − | 0.0657579i | −0.956556 | − | 0.291548i | \(-0.905830\pi\) |
0.974176 | + | 0.225790i | \(0.0724964\pi\) | |||||||
\(90\) | 2.12132 | + | 0.707107i | 0.223607 | + | 0.0745356i | ||||
\(91\) | −5.30991 | + | 15.6964i | −0.556630 | + | 1.64543i | ||||
\(92\) | −0.815515 | − | 0.815515i | −0.0850233 | − | 0.0850233i | ||||
\(93\) | −0.248487 | − | 0.430392i | −0.0257669 | − | 0.0446296i | ||||
\(94\) | −5.86068 | + | 3.38366i | −0.604483 | + | 0.348998i | ||||
\(95\) | −1.02236 | + | 17.0328i | −0.104892 | + | 1.74753i | ||||
\(96\) | 0.707107 | + | 0.707107i | 0.0721688 | + | 0.0721688i | ||||
\(97\) | 4.87662 | + | 2.81552i | 0.495145 | + | 0.285872i | 0.726706 | − | 0.686948i | \(-0.241050\pi\) |
−0.231561 | + | 0.972820i | \(0.574383\pi\) | |||||||
\(98\) | 12.2291 | + | 7.06048i | 1.23533 | + | 0.713216i | ||||
\(99\) | −2.54258 | − | 2.54258i | −0.255539 | − | 0.255539i | ||||
\(100\) | 4.59808 | − | 1.96410i | 0.459808 | − | 0.196410i | ||||
\(101\) | −4.31747 | + | 2.49269i | −0.429605 | + | 0.248032i | −0.699178 | − | 0.714947i | \(-0.746451\pi\) |
0.269574 | + | 0.962980i | \(0.413117\pi\) | |||||||
\(102\) | 0.775255 | + | 1.34278i | 0.0767617 | + | 0.132955i | ||||
\(103\) | 13.4741 | + | 13.4741i | 1.32764 | + | 1.32764i | 0.907425 | + | 0.420215i | \(0.138045\pi\) |
0.420215 | + | 0.907425i | \(0.361955\pi\) | |||||||
\(104\) | −0.707107 | − | 3.53553i | −0.0693375 | − | 0.346688i | ||||
\(105\) | −9.19151 | + | 4.59575i | −0.896999 | + | 0.448500i | ||||
\(106\) | 3.26795 | − | 12.1962i | 0.317411 | − | 1.18460i | ||||
\(107\) | 0.525566 | − | 1.96144i | 0.0508084 | − | 0.189620i | −0.935857 | − | 0.352379i | \(-0.885373\pi\) |
0.986666 | + | 0.162759i | \(0.0520395\pi\) | |||||||
\(108\) | 0.965926 | − | 0.258819i | 0.0929463 | − | 0.0249049i | ||||
\(109\) | −12.4777 | + | 12.4777i | −1.19515 | + | 1.19515i | −0.219547 | + | 0.975602i | \(0.570458\pi\) |
−0.975602 | + | 0.219547i | \(0.929542\pi\) | |||||||
\(110\) | −8.02591 | − | 0.481740i | −0.765240 | − | 0.0459321i | ||||
\(111\) | 2.64626 | + | 9.87599i | 0.251172 | + | 0.937388i | ||||
\(112\) | −4.59575 | −0.434258 | ||||||||
\(113\) | 1.92367 | + | 7.17922i | 0.180963 | + | 0.675364i | 0.995459 | + | 0.0951941i | \(0.0303472\pi\) |
−0.814495 | + | 0.580170i | \(0.802986\pi\) | |||||||
\(114\) | 3.81552 | + | 6.60867i | 0.357356 | + | 0.618958i | ||||
\(115\) | −1.42094 | + | 2.15211i | −0.132503 | + | 0.200685i | ||||
\(116\) | − | 5.74567i | − | 0.533472i | ||||||
\(117\) | −3.41542 | − | 1.15539i | −0.315755 | − | 0.106816i | ||||
\(118\) | −6.40388 | + | 6.40388i | −0.589525 | + | 0.589525i | ||||
\(119\) | −6.88296 | − | 1.84428i | −0.630960 | − | 0.169065i | ||||
\(120\) | 1.23205 | − | 1.86603i | 0.112470 | − | 0.170344i | ||||
\(121\) | 1.67095 | + | 0.964724i | 0.151905 | + | 0.0877022i | ||||
\(122\) | 1.44344i | 0.130683i | ||||||||
\(123\) | 3.74238 | − | 6.48200i | 0.337439 | − | 0.584462i | ||||
\(124\) | −0.480040 | + | 0.128626i | −0.0431088 | + | 0.0115510i | ||||
\(125\) | −6.36396 | − | 9.19239i | −0.569210 | − | 0.822192i | ||||
\(126\) | −2.29788 | + | 3.98004i | −0.204711 | + | 0.354570i | ||||
\(127\) | 7.79555 | + | 2.08881i | 0.691744 | + | 0.185352i | 0.587530 | − | 0.809203i | \(-0.300101\pi\) |
0.104214 | + | 0.994555i | \(0.466767\pi\) | |||||||
\(128\) | 0.866025 | − | 0.500000i | 0.0765466 | − | 0.0441942i | ||||
\(129\) | 1.42883 | 0.125801 | ||||||||
\(130\) | −7.42820 | + | 3.13397i | −0.651497 | + | 0.274868i | ||||
\(131\) | 19.0528 | 1.66465 | 0.832326 | − | 0.554287i | \(-0.187009\pi\) | ||||
0.832326 | + | 0.554287i | \(0.187009\pi\) | |||||||
\(132\) | −3.11401 | + | 1.79788i | −0.271040 | + | 0.156485i | ||||
\(133\) | −33.8753 | − | 9.07687i | −2.93737 | − | 0.787065i | ||||
\(134\) | 0.121320 | − | 0.210133i | 0.0104805 | − | 0.0181527i | ||||
\(135\) | −1.00000 | − | 2.00000i | −0.0860663 | − | 0.172133i | ||||
\(136\) | 1.49768 | − | 0.401302i | 0.128425 | − | 0.0344113i | ||||
\(137\) | 8.64332 | − | 14.9707i | 0.738449 | − | 1.27903i | −0.214745 | − | 0.976670i | \(-0.568892\pi\) |
0.953194 | − | 0.302360i | \(-0.0977746\pi\) | |||||||
\(138\) | 1.15331i | 0.0981765i | ||||||||
\(139\) | 1.66354 | + | 0.960444i | 0.141099 | + | 0.0814638i | 0.568888 | − | 0.822415i | \(-0.307374\pi\) |
−0.427788 | + | 0.903879i | \(0.640707\pi\) | |||||||
\(140\) | 2.06022 | + | 10.0678i | 0.174120 | + | 0.850883i | ||||
\(141\) | 6.53674 | + | 1.75151i | 0.550492 | + | 0.147504i | ||||
\(142\) | 5.81382 | − | 5.81382i | 0.487885 | − | 0.487885i | ||||
\(143\) | 12.9378 | + | 0.834398i | 1.08191 | + | 0.0697758i | ||||
\(144\) | − | 1.00000i | − | 0.0833333i | ||||||
\(145\) | −12.5869 | + | 2.57571i | −1.04528 | + | 0.213901i | ||||
\(146\) | 1.89828 | + | 3.28791i | 0.157102 | + | 0.272109i | ||||
\(147\) | −3.65477 | − | 13.6398i | −0.301441 | − | 1.12499i | ||||
\(148\) | 10.2244 | 0.840439 | ||||||||
\(149\) | 1.16296 | + | 4.34022i | 0.0952732 | + | 0.355565i | 0.997061 | − | 0.0766151i | \(-0.0244113\pi\) |
−0.901787 | + | 0.432180i | \(0.857745\pi\) | |||||||
\(150\) | −4.64016 | − | 1.86250i | −0.378868 | − | 0.152073i | ||||
\(151\) | 8.06450 | − | 8.06450i | 0.656280 | − | 0.656280i | −0.298218 | − | 0.954498i | \(-0.596392\pi\) |
0.954498 | + | 0.298218i | \(0.0963923\pi\) | |||||||
\(152\) | 7.37101 | − | 1.97506i | 0.597868 | − | 0.160198i | ||||
\(153\) | 0.401302 | − | 1.49768i | 0.0324433 | − | 0.121080i | ||||
\(154\) | 4.27704 | − | 15.9621i | 0.344653 | − | 1.28626i | ||||
\(155\) | 0.496974 | + | 0.993948i | 0.0399179 | + | 0.0798358i | ||||
\(156\) | −2.00000 | + | 3.00000i | −0.160128 | + | 0.240192i | ||||
\(157\) | −6.34330 | − | 6.34330i | −0.506250 | − | 0.506250i | 0.407123 | − | 0.913373i | \(-0.366532\pi\) |
−0.913373 | + | 0.407123i | \(0.866532\pi\) | |||||||
\(158\) | 1.38196 | + | 2.39363i | 0.109943 | + | 0.190427i | ||||
\(159\) | −10.9348 | + | 6.31319i | −0.867184 | + | 0.500669i | ||||
\(160\) | −1.48356 | − | 1.67303i | −0.117286 | − | 0.132265i | ||||
\(161\) | −3.74791 | − | 3.74791i | −0.295376 | − | 0.295376i | ||||
\(162\) | −0.866025 | − | 0.500000i | −0.0680414 | − | 0.0392837i | ||||
\(163\) | 7.85217 | + | 4.53345i | 0.615029 | + | 0.355087i | 0.774931 | − | 0.632046i | \(-0.217784\pi\) |
−0.159902 | + | 0.987133i | \(0.551118\pi\) | |||||||
\(164\) | −5.29253 | − | 5.29253i | −0.413277 | − | 0.413277i | ||||
\(165\) | 5.33453 | + | 6.01581i | 0.415293 | + | 0.468330i | ||||
\(166\) | 7.58302 | − | 4.37806i | 0.588556 | − | 0.339803i | ||||
\(167\) | −0.699801 | − | 1.21209i | −0.0541522 | − | 0.0937944i | 0.837679 | − | 0.546164i | \(-0.183912\pi\) |
−0.891831 | + | 0.452369i | \(0.850579\pi\) | |||||||
\(168\) | 3.24969 | + | 3.24969i | 0.250719 | + | 0.250719i | ||||
\(169\) | 12.0000 | − | 5.00000i | 0.923077 | − | 0.384615i | ||||
\(170\) | −1.55051 | − | 3.10102i | −0.118919 | − | 0.237837i | ||||
\(171\) | 1.97506 | − | 7.37101i | 0.151036 | − | 0.563675i | ||||
\(172\) | 0.369807 | − | 1.38014i | 0.0281975 | − | 0.105235i | ||||
\(173\) | 22.3242 | − | 5.98174i | 1.69727 | − | 0.454783i | 0.725023 | − | 0.688724i | \(-0.241829\pi\) |
0.972251 | + | 0.233941i | \(0.0751623\pi\) | |||||||
\(174\) | −4.06280 | + | 4.06280i | −0.308000 | + | 0.308000i | ||||
\(175\) | 21.1316 | − | 9.02653i | 1.59740 | − | 0.682341i | ||||
\(176\) | 0.930650 | + | 3.47323i | 0.0701504 | + | 0.261805i | ||||
\(177\) | 9.05646 | 0.680725 | ||||||||
\(178\) | 0.166225 | + | 0.620358i | 0.0124591 | + | 0.0464978i | ||||
\(179\) | −3.61193 | − | 6.25605i | −0.269969 | − | 0.467599i | 0.698885 | − | 0.715234i | \(-0.253680\pi\) |
−0.968853 | + | 0.247635i | \(0.920347\pi\) | |||||||
\(180\) | −2.19067 | + | 0.448288i | −0.163283 | + | 0.0334134i | ||||
\(181\) | − | 7.02118i | − | 0.521880i | −0.965355 | − | 0.260940i | \(-0.915967\pi\) | ||
0.965355 | − | 0.260940i | \(-0.0840325\pi\) | |||||||
\(182\) | −3.24969 | − | 16.2484i | −0.240883 | − | 1.20441i | ||||
\(183\) | 1.02066 | − | 1.02066i | 0.0754497 | − | 0.0754497i | ||||
\(184\) | 1.11401 | + | 0.298499i | 0.0821262 | + | 0.0220057i | ||||
\(185\) | −4.58346 | − | 22.3983i | −0.336983 | − | 1.64675i | ||||
\(186\) | 0.430392 | + | 0.248487i | 0.0315579 | + | 0.0182199i | ||||
\(187\) | 5.57525i | 0.407703i | ||||||||
\(188\) | 3.38366 | − | 5.86068i | 0.246779 | − | 0.427434i | ||||
\(189\) | 4.43916 | − | 1.18947i | 0.322901 | − | 0.0865211i | ||||
\(190\) | −7.63103 | − | 15.2621i | −0.553613 | − | 1.10723i | ||||
\(191\) | 10.3967 | − | 18.0075i | 0.752276 | − | 1.30298i | −0.194442 | − | 0.980914i | \(-0.562289\pi\) |
0.946717 | − | 0.322066i | \(-0.104377\pi\) | |||||||
\(192\) | −0.965926 | − | 0.258819i | −0.0697097 | − | 0.0186787i | ||||
\(193\) | −22.0657 | + | 12.7396i | −1.58832 | + | 0.917018i | −0.594737 | + | 0.803920i | \(0.702744\pi\) |
−0.993584 | + | 0.113097i | \(0.963923\pi\) | |||||||
\(194\) | −5.63103 | −0.404284 | ||||||||
\(195\) | 7.46859 | + | 3.03648i | 0.534837 | + | 0.217447i | ||||
\(196\) | −14.1210 | −1.00864 | ||||||||
\(197\) | 3.38927 | − | 1.95680i | 0.241475 | − | 0.139416i | −0.374379 | − | 0.927276i | \(-0.622144\pi\) |
0.615855 | + | 0.787860i | \(0.288811\pi\) | |||||||
\(198\) | 3.47323 | + | 0.930650i | 0.246832 | + | 0.0661384i | ||||
\(199\) | −5.06110 | + | 8.76608i | −0.358772 | + | 0.621411i | −0.987756 | − | 0.156007i | \(-0.950138\pi\) |
0.628984 | + | 0.777418i | \(0.283471\pi\) | |||||||
\(200\) | −3.00000 | + | 4.00000i | −0.212132 | + | 0.282843i | ||||
\(201\) | −0.234373 | + | 0.0628000i | −0.0165314 | + | 0.00442957i | ||||
\(202\) | 2.49269 | − | 4.31747i | 0.175385 | − | 0.303776i | ||||
\(203\) | − | 26.4057i | − | 1.85331i | ||||||
\(204\) | −1.34278 | − | 0.775255i | −0.0940135 | − | 0.0542787i | ||||
\(205\) | −9.22161 | + | 13.9668i | −0.644065 | + | 0.975481i | ||||
\(206\) | −18.4059 | − | 4.93185i | −1.28240 | − | 0.343618i | ||||
\(207\) | 0.815515 | − | 0.815515i | 0.0566822 | − | 0.0566822i | ||||
\(208\) | 2.38014 | + | 2.70831i | 0.165033 | + | 0.187787i | ||||
\(209\) | 27.4393i | 1.89802i | ||||||||
\(210\) | 5.66220 | − | 8.57579i | 0.390729 | − | 0.591786i | ||||
\(211\) | 2.10066 | + | 3.63844i | 0.144615 | + | 0.250481i | 0.929229 | − | 0.369504i | \(-0.120472\pi\) |
−0.784614 | + | 0.619984i | \(0.787139\pi\) | |||||||
\(212\) | 3.26795 | + | 12.1962i | 0.224444 | + | 0.837635i | ||||
\(213\) | −8.22198 | −0.563361 | ||||||||
\(214\) | 0.525566 | + | 1.96144i | 0.0359270 | + | 0.134081i | ||||
\(215\) | −3.18921 | − | 0.191426i | −0.217502 | − | 0.0130552i | ||||
\(216\) | −0.707107 | + | 0.707107i | −0.0481125 | + | 0.0481125i | ||||
\(217\) | −2.20614 | + | 0.591135i | −0.149763 | + | 0.0401288i | ||||
\(218\) | 4.56716 | − | 17.0449i | 0.309327 | − | 1.15442i | ||||
\(219\) | 0.982620 | − | 3.66719i | 0.0663993 | − | 0.247805i | ||||
\(220\) | 7.19151 | − | 3.59575i | 0.484851 | − | 0.242426i | ||||
\(221\) | 2.47783 | + | 5.01133i | 0.166677 | + | 0.337098i | ||||
\(222\) | −7.22973 | − | 7.22973i | −0.485228 | − | 0.485228i | ||||
\(223\) | 9.24969 | + | 16.0209i | 0.619405 | + | 1.07284i | 0.989594 | + | 0.143885i | \(0.0459594\pi\) |
−0.370189 | + | 0.928956i | \(0.620707\pi\) | |||||||
\(224\) | 3.98004 | − | 2.29788i | 0.265928 | − | 0.153533i | ||||
\(225\) | 1.96410 | + | 4.59808i | 0.130940 | + | 0.306538i | ||||
\(226\) | −5.25555 | − | 5.25555i | −0.349594 | − | 0.349594i | ||||
\(227\) | −4.48440 | − | 2.58907i | −0.297640 | − | 0.171843i | 0.343742 | − | 0.939064i | \(-0.388305\pi\) |
−0.641382 | + | 0.767221i | \(0.721639\pi\) | |||||||
\(228\) | −6.60867 | − | 3.81552i | −0.437670 | − | 0.252689i | ||||
\(229\) | −8.55583 | − | 8.55583i | −0.565385 | − | 0.565385i | 0.365447 | − | 0.930832i | \(-0.380916\pi\) |
−0.930832 | + | 0.365447i | \(0.880916\pi\) | |||||||
\(230\) | 0.154515 | − | 2.57425i | 0.0101884 | − | 0.169741i | ||||
\(231\) | −14.3112 | + | 8.26260i | −0.941611 | + | 0.543639i | ||||
\(232\) | 2.87283 | + | 4.97589i | 0.188611 | + | 0.326683i | ||||
\(233\) | −16.4531 | − | 16.4531i | −1.07788 | − | 1.07788i | −0.996699 | − | 0.0811798i | \(-0.974131\pi\) |
−0.0811798 | − | 0.996699i | \(-0.525869\pi\) | |||||||
\(234\) | 3.53553 | − | 0.707107i | 0.231125 | − | 0.0462250i | ||||
\(235\) | −14.3557 | − | 4.78522i | −0.936461 | − | 0.312154i | ||||
\(236\) | 2.34398 | − | 8.74786i | 0.152580 | − | 0.569437i | ||||
\(237\) | 0.715357 | − | 2.66975i | 0.0464674 | − | 0.173419i | ||||
\(238\) | 6.88296 | − | 1.84428i | 0.446156 | − | 0.119547i | ||||
\(239\) | 7.30714 | − | 7.30714i | 0.472660 | − | 0.472660i | −0.430115 | − | 0.902774i | \(-0.641527\pi\) |
0.902774 | + | 0.430115i | \(0.141527\pi\) | |||||||
\(240\) | −0.133975 | + | 2.23205i | −0.00864802 | + | 0.144078i | ||||
\(241\) | 0.575712 | + | 2.14859i | 0.0370849 | + | 0.138403i | 0.981986 | − | 0.188953i | \(-0.0605093\pi\) |
−0.944901 | + | 0.327355i | \(0.893843\pi\) | |||||||
\(242\) | −1.92945 | −0.124030 | ||||||||
\(243\) | 0.258819 | + | 0.965926i | 0.0166032 | + | 0.0619642i | ||||
\(244\) | −0.721719 | − | 1.25005i | −0.0462033 | − | 0.0800265i | ||||
\(245\) | 6.33025 | + | 30.9344i | 0.404425 | + | 1.97632i | ||||
\(246\) | 7.48477i | 0.477211i | ||||||||
\(247\) | 12.1950 | + | 24.6639i | 0.775947 | + | 1.56932i | ||||
\(248\) | 0.351414 | − | 0.351414i | 0.0223148 | − | 0.0223148i | ||||
\(249\) | −8.45776 | − | 2.26625i | −0.535989 | − | 0.143618i | ||||
\(250\) | 10.1075 | + | 4.77886i | 0.639257 | + | 0.302242i | ||||
\(251\) | 8.49693 | + | 4.90571i | 0.536322 | + | 0.309645i | 0.743587 | − | 0.668639i | \(-0.233123\pi\) |
−0.207265 | + | 0.978285i | \(0.566456\pi\) | |||||||
\(252\) | − | 4.59575i | − | 0.289505i | ||||||
\(253\) | −2.07351 | + | 3.59143i | −0.130361 | + | 0.225791i | ||||
\(254\) | −7.79555 | + | 2.08881i | −0.489137 | + | 0.131064i | ||||
\(255\) | −1.09638 | + | 3.28913i | −0.0686577 | + | 0.205973i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −8.78788 | − | 2.35471i | −0.548173 | − | 0.146883i | −0.0259059 | − | 0.999664i | \(-0.508247\pi\) |
−0.522267 | + | 0.852782i | \(0.674914\pi\) | |||||||
\(258\) | −1.23740 | + | 0.714413i | −0.0770371 | + | 0.0444774i | ||||
\(259\) | 46.9887 | 2.91974 | ||||||||
\(260\) | 4.86603 | − | 6.42820i | 0.301778 | − | 0.398660i | ||||
\(261\) | 5.74567 | 0.355648 | ||||||||
\(262\) | −16.5002 | + | 9.52640i | −1.01939 | + | 0.588543i | ||||
\(263\) | −7.86238 | − | 2.10672i | −0.484815 | − | 0.129906i | 0.00812880 | − | 0.999967i | \(-0.497412\pi\) |
−0.492944 | + | 0.870061i | \(0.664079\pi\) | |||||||
\(264\) | 1.79788 | − | 3.11401i | 0.110652 | − | 0.191654i | ||||
\(265\) | 25.2528 | − | 12.6264i | 1.55127 | − | 0.775633i | ||||
\(266\) | 33.8753 | − | 9.07687i | 2.07703 | − | 0.556539i | ||||
\(267\) | 0.321121 | − | 0.556198i | 0.0196523 | − | 0.0340388i | ||||
\(268\) | 0.242641i | 0.0148216i | ||||||||
\(269\) | 7.88108 | + | 4.55015i | 0.480518 | + | 0.277427i | 0.720632 | − | 0.693317i | \(-0.243852\pi\) |
−0.240114 | + | 0.970745i | \(0.577185\pi\) | |||||||
\(270\) | 1.86603 | + | 1.23205i | 0.113563 | + | 0.0749802i | ||||
\(271\) | −18.2045 | − | 4.87788i | −1.10584 | − | 0.296310i | −0.340702 | − | 0.940171i | \(-0.610665\pi\) |
−0.765142 | + | 0.643861i | \(0.777331\pi\) | |||||||
\(272\) | −1.09638 | + | 1.09638i | −0.0664776 | + | 0.0664776i | ||||
\(273\) | −9.19151 | + | 13.7873i | −0.556295 | + | 0.834443i | ||||
\(274\) | 17.2866i | 1.04432i | ||||||||
\(275\) | −11.1010 | − | 14.1423i | −0.669414 | − | 0.852812i | ||||
\(276\) | −0.576656 | − | 0.998798i | −0.0347106 | − | 0.0601206i | ||||
\(277\) | 1.18274 | + | 4.41406i | 0.0710641 | + | 0.265215i | 0.992312 | − | 0.123761i | \(-0.0394956\pi\) |
−0.921248 | + | 0.388976i | \(0.872829\pi\) | |||||||
\(278\) | −1.92089 | −0.115207 | ||||||||
\(279\) | −0.128626 | − | 0.480040i | −0.00770065 | − | 0.0287392i | ||||
\(280\) | −6.81809 | − | 7.68885i | −0.407459 | − | 0.459496i | ||||
\(281\) | 8.50454 | − | 8.50454i | 0.507338 | − | 0.507338i | −0.406370 | − | 0.913708i | \(-0.633206\pi\) |
0.913708 | + | 0.406370i | \(0.133206\pi\) | |||||||
\(282\) | −6.53674 | + | 1.75151i | −0.389257 | + | 0.104301i | ||||
\(283\) | 0.323932 | − | 1.20893i | 0.0192558 | − | 0.0718635i | −0.955629 | − | 0.294572i | \(-0.904823\pi\) |
0.974885 | + | 0.222708i | \(0.0714897\pi\) | |||||||
\(284\) | −2.12800 | + | 7.94182i | −0.126274 | + | 0.471260i | ||||
\(285\) | −5.39595 | + | 16.1879i | −0.319629 | + | 0.958886i | ||||
\(286\) | −11.6217 | + | 5.74629i | −0.687203 | + | 0.339785i | ||||
\(287\) | −24.3232 | − | 24.3232i | −1.43575 | − | 1.43575i | ||||
\(288\) | 0.500000 | + | 0.866025i | 0.0294628 | + | 0.0510310i | ||||
\(289\) | 12.6404 | − | 7.29796i | 0.743555 | − | 0.429292i | ||||
\(290\) | 9.61269 | − | 8.52406i | 0.564476 | − | 0.500550i | ||||
\(291\) | 3.98174 | + | 3.98174i | 0.233414 | + | 0.233414i | ||||
\(292\) | −3.28791 | − | 1.89828i | −0.192410 | − | 0.111088i | ||||
\(293\) | 8.47370 | + | 4.89230i | 0.495039 | + | 0.285811i | 0.726663 | − | 0.686995i | \(-0.241070\pi\) |
−0.231623 | + | 0.972806i | \(0.574404\pi\) | |||||||
\(294\) | 9.98502 | + | 9.98502i | 0.582338 | + | 0.582338i | ||||
\(295\) | −20.2145 | − | 1.21334i | −1.17693 | − | 0.0706431i | ||||
\(296\) | −8.85457 | + | 5.11219i | −0.514662 | + | 0.297140i | ||||
\(297\) | −1.79788 | − | 3.11401i | −0.104323 | − | 0.180693i | ||||
\(298\) | −3.17726 | − | 3.17726i | −0.184054 | − | 0.184054i | ||||
\(299\) | −0.267627 | + | 4.14971i | −0.0154773 | + | 0.239984i | ||||
\(300\) | 4.94975 | − | 0.707107i | 0.285774 | − | 0.0408248i | ||||
\(301\) | 1.69954 | − | 6.34278i | 0.0979600 | − | 0.365592i | ||||
\(302\) | −2.95181 | + | 11.0163i | −0.169858 | + | 0.633918i | ||||
\(303\) | −4.81552 | + | 1.29031i | −0.276644 | + | 0.0741266i | ||||
\(304\) | −5.39595 | + | 5.39595i | −0.309479 | + | 0.309479i | ||||
\(305\) | −2.41492 | + | 2.14143i | −0.138278 | + | 0.122618i | ||||
\(306\) | 0.401302 | + | 1.49768i | 0.0229409 | + | 0.0856165i | ||||
\(307\) | 17.2613 | 0.985156 | 0.492578 | − | 0.870268i | \(-0.336055\pi\) | ||||
0.492578 | + | 0.870268i | \(0.336055\pi\) | |||||||
\(308\) | 4.27704 | + | 15.9621i | 0.243707 | + | 0.909526i | ||||
\(309\) | 9.52761 | + | 16.5023i | 0.542007 | + | 0.938783i | ||||
\(310\) | −0.927366 | − | 0.612297i | −0.0526708 | − | 0.0347761i | ||||
\(311\) | 9.94495i | 0.563927i | 0.959425 | + | 0.281963i | \(0.0909856\pi\) | ||||
−0.959425 | + | 0.281963i | \(0.909014\pi\) | |||||||
\(312\) | 0.232051 | − | 3.59808i | 0.0131373 | − | 0.203701i | ||||
\(313\) | 14.3777 | − | 14.3777i | 0.812675 | − | 0.812675i | −0.172359 | − | 0.985034i | \(-0.555139\pi\) |
0.985034 | + | 0.172359i | \(0.0551389\pi\) | |||||||
\(314\) | 8.66510 | + | 2.32181i | 0.489000 | + | 0.131027i | ||||
\(315\) | −10.0678 | + | 2.06022i | −0.567255 | + | 0.116080i | ||||
\(316\) | −2.39363 | − | 1.38196i | −0.134652 | − | 0.0777415i | ||||
\(317\) | − | 1.20080i | − | 0.0674435i | −0.999431 | − | 0.0337217i | \(-0.989264\pi\) | ||
0.999431 | − | 0.0337217i | \(-0.0107360\pi\) | |||||||
\(318\) | 6.31319 | − | 10.9348i | 0.354026 | − | 0.613192i | ||||
\(319\) | −19.9560 | + | 5.34720i | −1.11732 | + | 0.299386i | ||||
\(320\) | 2.12132 | + | 0.707107i | 0.118585 | + | 0.0395285i | ||||
\(321\) | 1.01532 | − | 1.75858i | 0.0566694 | − | 0.0981543i | ||||
\(322\) | 5.11974 | + | 1.37183i | 0.285312 | + | 0.0764491i | ||||
\(323\) | −10.2468 | + | 5.91600i | −0.570147 | + | 0.329175i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | −16.2635 | − | 7.77817i | −0.902134 | − | 0.431455i | ||||
\(326\) | −9.06690 | −0.502169 | ||||||||
\(327\) | −15.2820 | + | 8.82308i | −0.845098 | + | 0.487917i | ||||
\(328\) | 7.22973 | + | 1.93720i | 0.399195 | + | 0.106964i | ||||
\(329\) | 15.5505 | − | 26.9342i | 0.857326 | − | 1.48493i | ||||
\(330\) | −7.62775 | − | 2.54258i | −0.419894 | − | 0.139965i | ||||
\(331\) | 0.819503 | − | 0.219585i | 0.0450440 | − | 0.0120695i | −0.236227 | − | 0.971698i | \(-0.575911\pi\) |
0.281271 | + | 0.959628i | \(0.409244\pi\) | |||||||
\(332\) | −4.37806 | + | 7.58302i | −0.240277 | + | 0.416172i | ||||
\(333\) | 10.2244i | 0.560293i | ||||||||
\(334\) | 1.21209 | + | 0.699801i | 0.0663226 | + | 0.0382914i | ||||
\(335\) | 0.531546 | − | 0.108773i | 0.0290415 | − | 0.00594290i | ||||
\(336\) | −4.43916 | − | 1.18947i | −0.242176 | − | 0.0648908i | ||||
\(337\) | −5.62622 | + | 5.62622i | −0.306480 | + | 0.306480i | −0.843542 | − | 0.537063i | \(-0.819534\pi\) |
0.537063 | + | 0.843542i | \(0.319534\pi\) | |||||||
\(338\) | −7.89230 | + | 10.3301i | −0.429285 | + | 0.561885i | ||||
\(339\) | 7.43247i | 0.403677i | ||||||||
\(340\) | 2.89329 | + | 1.91031i | 0.156911 | + | 0.103601i | ||||
\(341\) | 0.893498 | + | 1.54758i | 0.0483856 | + | 0.0838063i | ||||
\(342\) | 1.97506 | + | 7.37101i | 0.106799 | + | 0.398579i | ||||
\(343\) | −32.7262 | −1.76705 | ||||||||
\(344\) | 0.369807 | + | 1.38014i | 0.0199387 | + | 0.0744121i | ||||
\(345\) | −1.92953 | + | 1.71101i | −0.103882 | + | 0.0921178i | ||||
\(346\) | −16.3424 | + | 16.3424i | −0.878574 | + | 0.878574i | ||||
\(347\) | 2.73910 | − | 0.733939i | 0.147043 | − | 0.0393999i | −0.184547 | − | 0.982824i | \(-0.559082\pi\) |
0.331589 | + | 0.943424i | \(0.392415\pi\) | |||||||
\(348\) | 1.48709 | − | 5.54989i | 0.0797163 | − | 0.297505i | ||||
\(349\) | 8.23873 | − | 30.7473i | 0.441009 | − | 1.64587i | −0.285255 | − | 0.958452i | \(-0.592078\pi\) |
0.726264 | − | 0.687416i | \(-0.241255\pi\) | |||||||
\(350\) | −13.7873 | + | 18.3830i | −0.736960 | + | 0.982614i | ||||
\(351\) | −3.00000 | − | 2.00000i | −0.160128 | − | 0.106752i | ||||
\(352\) | −2.54258 | − | 2.54258i | −0.135520 | − | 0.135520i | ||||
\(353\) | 4.22803 | + | 7.32316i | 0.225035 | + | 0.389773i | 0.956330 | − | 0.292289i | \(-0.0944169\pi\) |
−0.731295 | + | 0.682062i | \(0.761084\pi\) | |||||||
\(354\) | −7.84312 | + | 4.52823i | −0.416857 | + | 0.240673i | ||||
\(355\) | 18.3519 | + | 1.10154i | 0.974016 | + | 0.0584635i | ||||
\(356\) | −0.454134 | − | 0.454134i | −0.0240691 | − | 0.0240691i | ||||
\(357\) | −6.17109 | − | 3.56288i | −0.326609 | − | 0.188568i | ||||
\(358\) | 6.25605 | + | 3.61193i | 0.330643 | + | 0.190897i | ||||
\(359\) | 18.1981 | + | 18.1981i | 0.960458 | + | 0.960458i | 0.999247 | − | 0.0387897i | \(-0.0123502\pi\) |
−0.0387897 | + | 0.999247i | \(0.512350\pi\) | |||||||
\(360\) | 1.67303 | − | 1.48356i | 0.0881766 | − | 0.0781907i | ||||
\(361\) | −33.9764 | + | 19.6163i | −1.78823 | + | 1.03244i | ||||
\(362\) | 3.51059 | + | 6.08052i | 0.184513 | + | 0.319585i | ||||
\(363\) | 1.36433 | + | 1.36433i | 0.0716085 | + | 0.0716085i | ||||
\(364\) | 10.9385 | + | 12.4467i | 0.573335 | + | 0.652385i | ||||
\(365\) | −2.68457 | + | 8.05370i | −0.140517 | + | 0.421550i | ||||
\(366\) | −0.373589 | + | 1.39425i | −0.0195278 | + | 0.0728788i | ||||
\(367\) | 9.44193 | − | 35.2377i | 0.492865 | − | 1.83940i | −0.0488113 | − | 0.998808i | \(-0.515543\pi\) |
0.541676 | − | 0.840587i | \(-0.317790\pi\) | |||||||
\(368\) | −1.11401 | + | 0.298499i | −0.0580720 | + | 0.0155603i | ||||
\(369\) | 5.29253 | − | 5.29253i | 0.275518 | − | 0.275518i | ||||
\(370\) | 15.1685 | + | 17.1057i | 0.788574 | + | 0.889284i | ||||
\(371\) | 15.0187 | + | 56.0505i | 0.779732 | + | 2.91000i | ||||
\(372\) | −0.496974 | −0.0257669 | ||||||||
\(373\) | −7.79259 | − | 29.0824i | −0.403485 | − | 1.50583i | −0.806833 | − | 0.590780i | \(-0.798820\pi\) |
0.403347 | − | 0.915047i | \(-0.367847\pi\) | |||||||
\(374\) | −2.78763 | − | 4.82831i | −0.144145 | − | 0.249666i | ||||
\(375\) | −3.76795 | − | 10.5263i | −0.194576 | − | 0.543575i | ||||
\(376\) | 6.76733i | 0.348998i | ||||||||
\(377\) | −15.5610 | + | 13.6755i | −0.801434 | + | 0.704323i | ||||
\(378\) | −3.24969 | + | 3.24969i | −0.167146 | + | 0.167146i | ||||
\(379\) | −23.1719 | − | 6.20889i | −1.19026 | − | 0.318929i | −0.391271 | − | 0.920275i | \(-0.627965\pi\) |
−0.798989 | + | 0.601346i | \(0.794631\pi\) | |||||||
\(380\) | 14.2397 | + | 9.40182i | 0.730481 | + | 0.482303i | ||||
\(381\) | 6.98930 | + | 4.03528i | 0.358073 | + | 0.206733i | ||||
\(382\) | 20.7933i | 1.06388i | ||||||||
\(383\) | −0.360784 | + | 0.624896i | −0.0184352 | + | 0.0319307i | −0.875096 | − | 0.483950i | \(-0.839202\pi\) |
0.856661 | + | 0.515880i | \(0.172535\pi\) | |||||||
\(384\) | 0.965926 | − | 0.258819i | 0.0492922 | − | 0.0132078i | ||||
\(385\) | 33.0504 | − | 16.5252i | 1.68440 | − | 0.842202i | ||||
\(386\) | 12.7396 | − | 22.0657i | 0.648429 | − | 1.12311i | ||||
\(387\) | 1.38014 | + | 0.369807i | 0.0701564 | + | 0.0187984i | ||||
\(388\) | 4.87662 | − | 2.81552i | 0.247573 | − | 0.142936i | ||||
\(389\) | −34.5417 | −1.75133 | −0.875666 | − | 0.482918i | \(-0.839577\pi\) | ||||
−0.875666 | + | 0.482918i | \(0.839577\pi\) | |||||||
\(390\) | −7.98623 | + | 1.10463i | −0.404398 | + | 0.0559349i | ||||
\(391\) | −1.78822 | −0.0904343 | ||||||||
\(392\) | 12.2291 | − | 7.06048i | 0.617663 | − | 0.356608i | ||||
\(393\) | 18.4036 | + | 4.93123i | 0.928339 | + | 0.248748i | ||||
\(394\) | −1.95680 | + | 3.38927i | −0.0985819 | + | 0.170749i | ||||
\(395\) | −1.95439 | + | 5.86317i | −0.0983361 | + | 0.295008i | ||||
\(396\) | −3.47323 | + | 0.930650i | −0.174536 | + | 0.0467669i | ||||
\(397\) | −14.9619 | + | 25.9148i | −0.750917 | + | 1.30063i | 0.196462 | + | 0.980511i | \(0.437055\pi\) |
−0.947379 | + | 0.320115i | \(0.896279\pi\) | |||||||
\(398\) | − | 10.1222i | − | 0.507380i | ||||||
\(399\) | −30.3718 | − | 17.5352i | −1.52049 | − | 0.877856i | ||||
\(400\) | 0.598076 | − | 4.96410i | 0.0299038 | − | 0.248205i | ||||
\(401\) | 6.61965 | + | 1.77373i | 0.330570 | + | 0.0885759i | 0.420287 | − | 0.907391i | \(-0.361930\pi\) |
−0.0897168 | + | 0.995967i | \(0.528596\pi\) | |||||||
\(402\) | 0.171573 | − | 0.171573i | 0.00855728 | − | 0.00855728i | ||||
\(403\) | 1.49092 | + | 0.993948i | 0.0742681 | + | 0.0495121i | ||||
\(404\) | 4.98539i | 0.248032i | ||||||||
\(405\) | −0.448288 | − | 2.19067i | −0.0222756 | − | 0.108855i | ||||
\(406\) | 13.2028 | + | 22.8680i | 0.655246 | + | 1.13492i | ||||
\(407\) | −9.51532 | − | 35.5116i | −0.471657 | − | 1.76025i | ||||
\(408\) | 1.55051 | 0.0767617 | ||||||||
\(409\) | 3.63827 | + | 13.5782i | 0.179901 | + | 0.671399i | 0.995665 | + | 0.0930139i | \(0.0296501\pi\) |
−0.815764 | + | 0.578385i | \(0.803683\pi\) | |||||||
\(410\) | 1.00277 | − | 16.7064i | 0.0495232 | − | 0.825069i | ||||
\(411\) | 12.2235 | − | 12.2235i | 0.602941 | − | 0.602941i | ||||
\(412\) | 18.4059 | − | 4.93185i | 0.906795 | − | 0.242975i | ||||
\(413\) | 10.7724 | − | 40.2030i | 0.530074 | − | 1.97826i | ||||
\(414\) | −0.298499 | + | 1.11401i | −0.0146704 | + | 0.0547508i | ||||
\(415\) | 18.5745 | + | 6.19151i | 0.911788 | + | 0.303929i | ||||
\(416\) | −3.41542 | − | 1.15539i | −0.167455 | − | 0.0566479i | ||||
\(417\) | 1.35827 | + | 1.35827i | 0.0665149 | + | 0.0665149i | ||||
\(418\) | −13.7197 | − | 23.7631i | −0.671050 | − | 1.16229i | ||||
\(419\) | 21.8412 | − | 12.6100i | 1.06701 | − | 0.616039i | 0.139647 | − | 0.990201i | \(-0.455403\pi\) |
0.927363 | + | 0.374162i | \(0.122070\pi\) | |||||||
\(420\) | −0.615714 | + | 10.2580i | −0.0300438 | + | 0.500537i | ||||
\(421\) | 0.532765 | + | 0.532765i | 0.0259654 | + | 0.0259654i | 0.719970 | − | 0.694005i | \(-0.244155\pi\) |
−0.694005 | + | 0.719970i | \(0.744155\pi\) | |||||||
\(422\) | −3.63844 | − | 2.10066i | −0.177117 | − | 0.102258i | ||||
\(423\) | 5.86068 | + | 3.38366i | 0.284956 | + | 0.164519i | ||||
\(424\) | −8.92820 | − | 8.92820i | −0.433592 | − | 0.433592i | ||||
\(425\) | 2.88783 | − | 7.19462i | 0.140080 | − | 0.348990i | ||||
\(426\) | 7.12044 | − | 4.11099i | 0.344986 | − | 0.199178i | ||||
\(427\) | −3.31684 | − | 5.74494i | −0.160513 | − | 0.278017i | ||||
\(428\) | −1.43587 | − | 1.43587i | −0.0694056 | − | 0.0694056i | ||||
\(429\) | 12.2810 | + | 4.15451i | 0.592932 | + | 0.200582i | ||||
\(430\) | 2.85765 | − | 1.42883i | 0.137808 | − | 0.0689041i | ||||
\(431\) | −6.29012 | + | 23.4751i | −0.302985 | + | 1.13075i | 0.631682 | + | 0.775228i | \(0.282365\pi\) |
−0.934666 | + | 0.355526i | \(0.884302\pi\) | |||||||
\(432\) | 0.258819 | − | 0.965926i | 0.0124524 | − | 0.0464731i | ||||
\(433\) | 22.0934 | − | 5.91991i | 1.06174 | − | 0.284493i | 0.314646 | − | 0.949209i | \(-0.398114\pi\) |
0.747096 | + | 0.664716i | \(0.231448\pi\) | |||||||
\(434\) | 1.61501 | − | 1.61501i | 0.0775230 | − | 0.0775230i | ||||
\(435\) | −12.8246 | − | 0.769773i | −0.614893 | − | 0.0369078i | ||||
\(436\) | 4.56716 | + | 17.0449i | 0.218727 | + | 0.816302i | ||||
\(437\) | −8.80096 | −0.421007 | ||||||||
\(438\) | 0.982620 | + | 3.66719i | 0.0469514 | + | 0.175225i | ||||
\(439\) | 9.38839 | + | 16.2612i | 0.448083 | + | 0.776103i | 0.998261 | − | 0.0589443i | \(-0.0187734\pi\) |
−0.550178 | + | 0.835047i | \(0.685440\pi\) | |||||||
\(440\) | −4.43015 | + | 6.70977i | −0.211199 | + | 0.319876i | ||||
\(441\) | − | 14.1210i | − | 0.672426i | ||||||
\(442\) | −4.65153 | − | 3.10102i | −0.221251 | − | 0.147501i | ||||
\(443\) | −4.60332 | + | 4.60332i | −0.218710 | + | 0.218710i | −0.807955 | − | 0.589245i | \(-0.799425\pi\) |
0.589245 | + | 0.807955i | \(0.299425\pi\) | |||||||
\(444\) | 9.87599 | + | 2.64626i | 0.468694 | + | 0.125586i | ||||
\(445\) | −0.791275 | + | 1.19844i | −0.0375100 | + | 0.0568115i | ||||
\(446\) | −16.0209 | − | 9.24969i | −0.758613 | − | 0.437985i | ||||
\(447\) | 4.49333i | 0.212527i | ||||||||
\(448\) | −2.29788 | + | 3.98004i | −0.108564 | + | 0.188039i | ||||
\(449\) | 5.98074 | − | 1.60254i | 0.282249 | − | 0.0756283i | −0.114917 | − | 0.993375i | \(-0.536660\pi\) |
0.397166 | + | 0.917747i | \(0.369994\pi\) | |||||||
\(450\) | −4.00000 | − | 3.00000i | −0.188562 | − | 0.141421i | ||||
\(451\) | −13.4567 | + | 23.3077i | −0.633651 | + | 1.09752i | ||||
\(452\) | 7.17922 | + | 1.92367i | 0.337682 | + | 0.0904816i | ||||
\(453\) | 9.87695 | − | 5.70246i | 0.464060 | − | 0.267925i | ||||
\(454\) | 5.17814 | 0.243022 | ||||||||
\(455\) | 22.3631 | − | 29.5424i | 1.04840 | − | 1.38497i | ||||
\(456\) | 7.63103 | 0.357356 | ||||||||
\(457\) | 14.5333 | − | 8.39079i | 0.679838 | − | 0.392505i | −0.119956 | − | 0.992779i | \(-0.538275\pi\) |
0.799794 | + | 0.600274i | \(0.204942\pi\) | |||||||
\(458\) | 11.6875 | + | 3.13165i | 0.546120 | + | 0.146333i | ||||
\(459\) | 0.775255 | − | 1.34278i | 0.0361858 | − | 0.0626757i | ||||
\(460\) | 1.15331 | + | 2.30663i | 0.0537735 | + | 0.107547i | ||||
\(461\) | −35.5676 | + | 9.53032i | −1.65655 | + | 0.443871i | −0.961436 | − | 0.275028i | \(-0.911313\pi\) |
−0.695114 | + | 0.718900i | \(0.744646\pi\) | |||||||
\(462\) | 8.26260 | − | 14.3112i | 0.384411 | − | 0.665819i | ||||
\(463\) | 26.8683i | 1.24868i | 0.781154 | + | 0.624338i | \(0.214631\pi\) | ||||
−0.781154 | + | 0.624338i | \(0.785369\pi\) | |||||||
\(464\) | −4.97589 | − | 2.87283i | −0.231000 | − | 0.133368i | ||||
\(465\) | 0.222787 | + | 1.08871i | 0.0103315 | + | 0.0504875i | ||||
\(466\) | 22.4754 | + | 6.02226i | 1.04115 | + | 0.278976i | ||||
\(467\) | −7.00532 | + | 7.00532i | −0.324168 | + | 0.324168i | −0.850363 | − | 0.526196i | \(-0.823618\pi\) |
0.526196 | + | 0.850363i | \(0.323618\pi\) | |||||||
\(468\) | −2.70831 | + | 2.38014i | −0.125192 | + | 0.110022i | ||||
\(469\) | 1.11512i | 0.0514913i | ||||||||
\(470\) | 14.8250 | − | 3.03371i | 0.683826 | − | 0.139935i | ||||
\(471\) | −4.48539 | − | 7.76892i | −0.206676 | − | 0.357973i | ||||
\(472\) | 2.34398 | + | 8.74786i | 0.107891 | + | 0.402653i | ||||
\(473\) | −5.13770 | −0.236232 | ||||||||
\(474\) | 0.715357 | + | 2.66975i | 0.0328574 | + | 0.122626i | ||||
\(475\) | 14.2128 | − | 35.4092i | 0.652128 | − | 1.62469i | ||||
\(476\) | −5.03868 | + | 5.03868i | −0.230947 | + | 0.230947i | ||||
\(477\) | −12.1962 | + | 3.26795i | −0.558423 | + | 0.149629i | ||||
\(478\) | −2.67460 | + | 9.98174i | −0.122333 | + | 0.456554i | ||||
\(479\) | −9.29474 | + | 34.6885i | −0.424688 | + | 1.58496i | 0.339916 | + | 0.940456i | \(0.389601\pi\) |
−0.764604 | + | 0.644500i | \(0.777065\pi\) | |||||||
\(480\) | −1.00000 | − | 2.00000i | −0.0456435 | − | 0.0912871i | ||||
\(481\) | −24.3355 | − | 27.6908i | −1.10960 | − | 1.26259i | ||||
\(482\) | −1.57287 | − | 1.57287i | −0.0716425 | − | 0.0716425i | ||||
\(483\) | −2.65017 | − | 4.59023i | −0.120587 | − | 0.208863i | ||||
\(484\) | 1.67095 | − | 0.964724i | 0.0759523 | − | 0.0438511i | ||||
\(485\) | −8.35399 | − | 9.42090i | −0.379335 | − | 0.427781i | ||||
\(486\) | −0.707107 | − | 0.707107i | −0.0320750 | − | 0.0320750i | ||||
\(487\) | −8.64927 | − | 4.99366i | −0.391936 | − | 0.226284i | 0.291063 | − | 0.956704i | \(-0.405991\pi\) |
−0.682998 | + | 0.730420i | \(0.739324\pi\) | |||||||
\(488\) | 1.25005 | + | 0.721719i | 0.0565873 | + | 0.0326707i | ||||
\(489\) | 6.41127 | + | 6.41127i | 0.289928 | + | 0.289928i | ||||
\(490\) | −20.9493 | − | 23.6248i | −0.946395 | − | 1.06726i | ||||
\(491\) | 3.69150 | − | 2.13129i | 0.166595 | − | 0.0961837i | −0.414384 | − | 0.910102i | \(-0.636003\pi\) |
0.580979 | + | 0.813918i | \(0.302670\pi\) | |||||||
\(492\) | −3.74238 | − | 6.48200i | −0.168720 | − | 0.292231i | ||||
\(493\) | −6.29941 | − | 6.29941i | −0.283711 | − | 0.283711i | ||||
\(494\) | −22.8931 | − | 15.2621i | −1.03001 | − | 0.686673i | ||||
\(495\) | 3.59575 | + | 7.19151i | 0.161617 | + | 0.323234i | ||||
\(496\) | −0.128626 | + | 0.480040i | −0.00577549 | + | 0.0215544i | ||||
\(497\) | −9.77978 | + | 36.4986i | −0.438683 | + | 1.63719i | ||||
\(498\) | 8.45776 | − | 2.26625i | 0.379001 | − | 0.101553i | ||||
\(499\) | −7.38839 | + | 7.38839i | −0.330750 | + | 0.330750i | −0.852871 | − | 0.522121i | \(-0.825141\pi\) |
0.522121 | + | 0.852871i | \(0.325141\pi\) | |||||||
\(500\) | −11.1428 | + | 0.915158i | −0.498322 | + | 0.0409271i | ||||
\(501\) | −0.362244 | − | 1.35191i | −0.0161838 | − | 0.0603989i | ||||
\(502\) | −9.81141 | −0.437905 | ||||||||
\(503\) | 1.54189 | + | 5.75442i | 0.0687495 | + | 0.256577i | 0.991743 | − | 0.128238i | \(-0.0409321\pi\) |
−0.922994 | + | 0.384815i | \(0.874265\pi\) | |||||||
\(504\) | 2.29788 | + | 3.98004i | 0.102356 | + | 0.177285i | ||||
\(505\) | 10.9213 | − | 2.23489i | 0.485993 | − | 0.0994512i | ||||
\(506\) | − | 4.14703i | − | 0.184358i | ||||||
\(507\) | 12.8852 | − | 1.72380i | 0.572252 | − | 0.0765567i | ||||
\(508\) | 5.70674 | − | 5.70674i | 0.253196 | − | 0.253196i | ||||
\(509\) | 20.9261 | + | 5.60714i | 0.927534 | + | 0.248532i | 0.690803 | − | 0.723043i | \(-0.257257\pi\) |
0.236731 | + | 0.971575i | \(0.423924\pi\) | |||||||
\(510\) | −0.695075 | − | 3.39666i | −0.0307784 | − | 0.150407i | ||||
\(511\) | −15.1104 | − | 8.72401i | −0.668446 | − | 0.385927i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 3.81552 | − | 6.60867i | 0.168459 | − | 0.291780i | ||||
\(514\) | 8.78788 | − | 2.35471i | 0.387617 | − | 0.103862i | ||||
\(515\) | −19.0552 | − | 38.1104i | −0.839673 | − | 1.67935i | ||||
\(516\) | 0.714413 | − | 1.23740i | 0.0314503 | − | 0.0544735i | ||||
\(517\) | −23.5045 | − | 6.29801i | −1.03373 | − | 0.276986i | ||||
\(518\) | −40.6934 | + | 23.4944i | −1.78797 | + | 1.03228i | ||||
\(519\) | 23.1117 | 1.01449 | ||||||||
\(520\) | −1.00000 | + | 8.00000i | −0.0438529 | + | 0.350823i | ||||
\(521\) | 14.6016 | 0.639707 | 0.319854 | − | 0.947467i | \(-0.396366\pi\) | ||||
0.319854 | + | 0.947467i | \(0.396366\pi\) | |||||||
\(522\) | −4.97589 | + | 2.87283i | −0.217789 | + | 0.125741i | ||||
\(523\) | −36.1910 | − | 9.69735i | −1.58252 | − | 0.424035i | −0.642816 | − | 0.766021i | \(-0.722234\pi\) |
−0.939705 | + | 0.341985i | \(0.888901\pi\) | |||||||
\(524\) | 9.52640 | − | 16.5002i | 0.416163 | − | 0.720815i | ||||
\(525\) | 22.7478 | − | 3.24969i | 0.992796 | − | 0.141828i | ||||
\(526\) | 7.86238 | − | 2.10672i | 0.342816 | − | 0.0918573i | ||||
\(527\) | −0.385281 | + | 0.667327i | −0.0167831 | + | 0.0290692i | ||||
\(528\) | 3.59575i | 0.156485i | ||||||||
\(529\) | 18.7667 | + | 10.8349i | 0.815942 | + | 0.471084i | ||||
\(530\) | −15.5563 | + | 23.5612i | −0.675725 | + | 1.02343i | ||||
\(531\) | 8.74786 | + | 2.34398i | 0.379625 | + | 0.101720i | ||||
\(532\) | −24.7985 | + | 24.7985i | −1.07515 | + | 1.07515i | ||||
\(533\) | −1.73685 | + | 26.9308i | −0.0752312 | + | 1.16650i | ||||
\(534\) | 0.642242i | 0.0277925i | ||||||||
\(535\) | −2.50184 | + | 3.78921i | −0.108164 | + | 0.163822i | ||||
\(536\) | −0.121320 | − | 0.210133i | −0.00524024 | − | 0.00907636i | ||||
\(537\) | −1.86967 | − | 6.97772i | −0.0806824 | − | 0.301111i | ||||
\(538\) | −9.10029 | −0.392341 | ||||||||
\(539\) | 13.1417 | + | 49.0454i | 0.566051 | + | 2.11253i | ||||
\(540\) | −2.23205 | − | 0.133975i | −0.0960522 | − | 0.00576535i | ||||
\(541\) | 19.1127 | − | 19.1127i | 0.821718 | − | 0.821718i | −0.164637 | − | 0.986354i | \(-0.552645\pi\) |
0.986354 | + | 0.164637i | \(0.0526452\pi\) | |||||||
\(542\) | 18.2045 | − | 4.87788i | 0.781950 | − | 0.209523i | ||||
\(543\) | 1.81722 | − | 6.78194i | 0.0779842 | − | 0.291041i | ||||
\(544\) | 0.401302 | − | 1.49768i | 0.0172057 | − | 0.0642124i | ||||
\(545\) | 35.2923 | − | 17.6462i | 1.51176 | − | 0.755878i | ||||
\(546\) | 1.06645 | − | 16.5359i | 0.0456398 | − | 0.707670i | ||||
\(547\) | 9.72084 | + | 9.72084i | 0.415633 | + | 0.415633i | 0.883695 | − | 0.468062i | \(-0.155048\pi\) |
−0.468062 | + | 0.883695i | \(0.655048\pi\) | |||||||
\(548\) | −8.64332 | − | 14.9707i | −0.369224 | − | 0.639515i | ||||
\(549\) | 1.25005 | − | 0.721719i | 0.0533510 | − | 0.0308022i | ||||
\(550\) | 16.6849 | + | 6.69710i | 0.711446 | + | 0.285565i | ||||
\(551\) | −31.0034 | − | 31.0034i | −1.32079 | − | 1.32079i | ||||
\(552\) | 0.998798 | + | 0.576656i | 0.0425117 | + | 0.0245441i | ||||
\(553\) | −11.0005 | − | 6.35116i | −0.467791 | − | 0.270079i | ||||
\(554\) | −3.23131 | − | 3.23131i | −0.137285 | − | 0.137285i | ||||
\(555\) | 1.36981 | − | 22.8213i | 0.0581451 | − | 0.968712i | ||||
\(556\) | 1.66354 | − | 0.960444i | 0.0705497 | − | 0.0407319i | ||||
\(557\) | 13.4746 | + | 23.3387i | 0.570936 | + | 0.988891i | 0.996470 | + | 0.0839484i | \(0.0267531\pi\) |
−0.425534 | + | 0.904943i | \(0.639914\pi\) | |||||||
\(558\) | 0.351414 | + | 0.351414i | 0.0148765 | + | 0.0148765i | ||||
\(559\) | −4.61804 | + | 2.28337i | −0.195322 | + | 0.0965763i | ||||
\(560\) | 9.74907 | + | 3.24969i | 0.411973 | + | 0.137324i | ||||
\(561\) | −1.44298 | + | 5.38528i | −0.0609227 | + | 0.227367i | ||||
\(562\) | −3.11288 | + | 11.6174i | −0.131309 | + | 0.490051i | ||||
\(563\) | 3.68352 | − | 0.986997i | 0.155242 | − | 0.0415970i | −0.180361 | − | 0.983600i | \(-0.557727\pi\) |
0.335603 | + | 0.942004i | \(0.391060\pi\) | |||||||
\(564\) | 4.78522 | − | 4.78522i | 0.201494 | − | 0.201494i | ||||
\(565\) | 0.995763 | − | 16.5897i | 0.0418921 | − | 0.697932i | ||||
\(566\) | 0.323932 | + | 1.20893i | 0.0136159 | + | 0.0508152i | ||||
\(567\) | 4.59575 | 0.193004 | ||||||||
\(568\) | −2.12800 | − | 7.94182i | −0.0892891 | − | 0.333231i | ||||
\(569\) | 8.28497 | + | 14.3500i | 0.347324 | + | 0.601582i | 0.985773 | − | 0.168081i | \(-0.0537571\pi\) |
−0.638449 | + | 0.769664i | \(0.720424\pi\) | |||||||
\(570\) | −3.42090 | − | 16.7171i | −0.143286 | − | 0.700201i | ||||
\(571\) | − | 22.4047i | − | 0.937608i | −0.883302 | − | 0.468804i | \(-0.844685\pi\) | ||
0.883302 | − | 0.468804i | \(-0.155315\pi\) | |||||||
\(572\) | 7.19151 | − | 10.7873i | 0.300692 | − | 0.451038i | ||||
\(573\) | 14.7031 | − | 14.7031i | 0.614231 | − | 0.614231i | ||||
\(574\) | 33.2261 | + | 8.90289i | 1.38683 | + | 0.371600i | ||||
\(575\) | 4.53604 | − | 3.56056i | 0.189166 | − | 0.148486i | ||||
\(576\) | −0.866025 | − | 0.500000i | −0.0360844 | − | 0.0208333i | ||||
\(577\) | 9.87100i | 0.410935i | 0.978664 | + | 0.205468i | \(0.0658715\pi\) | ||||
−0.978664 | + | 0.205468i | \(0.934128\pi\) | |||||||
\(578\) | −7.29796 | + | 12.6404i | −0.303555 | + | 0.525773i | ||||
\(579\) | −24.6110 | + | 6.59451i | −1.02280 | + | 0.274058i | ||||
\(580\) | −4.06280 | + | 12.1884i | −0.168699 | + | 0.506096i | ||||
\(581\) | −20.1205 | + | 34.8497i | −0.834738 | + | 1.44581i | ||||
\(582\) | −5.43916 | − | 1.45742i | −0.225460 | − | 0.0604119i | ||||
\(583\) | 39.3187 | − | 22.7007i | 1.62842 | − | 0.940167i | ||||
\(584\) | 3.79655 | 0.157102 | ||||||||
\(585\) | 6.42820 | + | 4.86603i | 0.265773 | + | 0.201185i | ||||
\(586\) | −9.78459 | −0.404198 | ||||||||
\(587\) | 22.8800 | − | 13.2098i | 0.944358 | − | 0.545225i | 0.0530344 | − | 0.998593i | \(-0.483111\pi\) |
0.891324 | + | 0.453367i | \(0.149777\pi\) | |||||||
\(588\) | −13.6398 | − | 3.65477i | −0.562496 | − | 0.150720i | ||||
\(589\) | −1.89621 | + | 3.28433i | −0.0781320 | + | 0.135329i | ||||
\(590\) | 18.1129 | − | 9.05646i | 0.745697 | − | 0.372848i | ||||
\(591\) | 3.78024 | − | 1.01291i | 0.155498 | − | 0.0416656i | ||||
\(592\) | 5.11219 | − | 8.85457i | 0.210110 | − | 0.363921i | ||||
\(593\) | − | 4.74643i | − | 0.194913i | −0.995240 | − | 0.0974563i | \(-0.968929\pi\) | ||
0.995240 | − | 0.0974563i | \(-0.0310706\pi\) | |||||||
\(594\) | 3.11401 | + | 1.79788i | 0.127770 | + | 0.0737678i | ||||
\(595\) | 13.2969 | + | 8.77930i | 0.545118 | + | 0.359916i | ||||
\(596\) | 4.34022 | + | 1.16296i | 0.177782 | + | 0.0476366i | ||||
\(597\) | −7.15748 | + | 7.15748i | −0.292936 | + | 0.292936i | ||||
\(598\) | −1.84308 | − | 3.72756i | −0.0753692 | − | 0.152431i | ||||
\(599\) | − | 6.53789i | − | 0.267131i | −0.991040 | − | 0.133565i | \(-0.957357\pi\) | ||
0.991040 | − | 0.133565i | \(-0.0426426\pi\) | |||||||
\(600\) | −3.93305 | + | 3.08725i | −0.160566 | + | 0.126036i | ||||
\(601\) | −12.5745 | − | 21.7796i | −0.512923 | − | 0.888409i | −0.999888 | − | 0.0149873i | \(-0.995229\pi\) |
0.486964 | − | 0.873422i | \(-0.338104\pi\) | |||||||
\(602\) | 1.69954 | + | 6.34278i | 0.0692682 | + | 0.258512i | ||||
\(603\) | −0.242641 | −0.00988109 | ||||||||
\(604\) | −2.95181 | − | 11.0163i | −0.120108 | − | 0.448247i | ||||
\(605\) | −2.86246 | − | 3.22803i | −0.116376 | − | 0.131238i | ||||
\(606\) | 3.52520 | − | 3.52520i | 0.143202 | − | 0.143202i | ||||
\(607\) | 16.7839 | − | 4.49722i | 0.681236 | − | 0.182537i | 0.0984251 | − | 0.995144i | \(-0.468620\pi\) |
0.582811 | + | 0.812608i | \(0.301953\pi\) | |||||||
\(608\) | 1.97506 | − | 7.37101i | 0.0800991 | − | 0.298934i | ||||
\(609\) | 6.83429 | − | 25.5059i | 0.276939 | − | 1.03355i | ||||
\(610\) | 1.02066 | − | 3.06199i | 0.0413255 | − | 0.123976i | ||||
\(611\) | −23.9261 | + | 4.78522i | −0.967947 | + | 0.193589i | ||||
\(612\) | −1.09638 | − | 1.09638i | −0.0443184 | − | 0.0443184i | ||||
\(613\) | −4.45826 | − | 7.72192i | −0.180067 | − | 0.311886i | 0.761836 | − | 0.647770i | \(-0.224298\pi\) |
−0.941903 | + | 0.335884i | \(0.890965\pi\) | |||||||
\(614\) | −14.9488 | + | 8.63067i | −0.603283 | + | 0.348305i | ||||
\(615\) | −12.5223 | + | 11.1041i | −0.504946 | + | 0.447762i | ||||
\(616\) | −11.6851 | − | 11.6851i | −0.470805 | − | 0.470805i | ||||
\(617\) | −20.9147 | − | 12.0751i | −0.841993 | − | 0.486125i | 0.0159483 | − | 0.999873i | \(-0.494923\pi\) |
−0.857941 | + | 0.513748i | \(0.828257\pi\) | |||||||
\(618\) | −16.5023 | − | 9.52761i | −0.663820 | − | 0.383257i | ||||
\(619\) | −28.9712 | − | 28.9712i | −1.16445 | − | 1.16445i | −0.983490 | − | 0.180961i | \(-0.942079\pi\) |
−0.180961 | − | 0.983490i | \(-0.557921\pi\) | |||||||
\(620\) | 1.10927 | + | 0.0665819i | 0.0445494 | + | 0.00267399i | ||||
\(621\) | 0.998798 | − | 0.576656i | 0.0400804 | − | 0.0231404i | ||||
\(622\) | −4.97248 | − | 8.61258i | −0.199378 | − | 0.345333i | ||||
\(623\) | −2.08709 | − | 2.08709i | −0.0836174 | − | 0.0836174i | ||||
\(624\) | 1.59808 | + | 3.23205i | 0.0639742 | + | 0.129386i | ||||
\(625\) | 7.00000 | + | 24.0000i | 0.280000 | + | 0.960000i | ||||
\(626\) | −5.26260 | + | 19.6403i | −0.210336 | + | 0.784984i | ||||
\(627\) | −7.10182 | + | 26.5043i | −0.283619 | + | 1.05848i | ||||
\(628\) | −8.66510 | + | 2.32181i | −0.345775 | + | 0.0926502i | ||||
\(629\) | 11.2098 | − | 11.2098i | 0.446963 | − | 0.446963i | ||||
\(630\) | 7.68885 | − | 6.81809i | 0.306331 | − | 0.271639i | ||||
\(631\) | −2.11445 | − | 7.89123i | −0.0841748 | − | 0.314145i | 0.910982 | − | 0.412447i | \(-0.135326\pi\) |
−0.995157 | + | 0.0983017i | \(0.968659\pi\) | |||||||
\(632\) | 2.76393 | 0.109943 | ||||||||
\(633\) | 1.08738 | + | 4.05816i | 0.0432195 | + | 0.161297i | ||||
\(634\) | 0.600398 | + | 1.03992i | 0.0238449 | + | 0.0413005i | ||||
\(635\) | −15.0599 | − | 9.94333i | −0.597632 | − | 0.394589i | ||||
\(636\) | 12.6264i | 0.500669i | ||||||||
\(637\) | 33.6098 | + | 38.2439i | 1.33167 | + | 1.51528i | ||||
\(638\) | 14.6088 | − | 14.6088i | 0.578369 | − | 0.578369i | ||||
\(639\) | −7.94182 | − | 2.12800i | −0.314174 | − | 0.0841825i | ||||
\(640\) | −2.19067 | + | 0.448288i | −0.0865939 | + | 0.0177201i | ||||
\(641\) | −19.4025 | − | 11.2020i | −0.766351 | − | 0.442453i | 0.0652203 | − | 0.997871i | \(-0.479225\pi\) |
−0.831571 | + | 0.555418i | \(0.812558\pi\) | |||||||
\(642\) | 2.03063i | 0.0801427i | ||||||||
\(643\) | −18.7280 | + | 32.4379i | −0.738562 | + | 1.27923i | 0.214581 | + | 0.976706i | \(0.431161\pi\) |
−0.953143 | + | 0.302520i | \(0.902172\pi\) | |||||||
\(644\) | −5.11974 | + | 1.37183i | −0.201746 | + | 0.0540576i | ||||
\(645\) | −3.03100 | − | 1.01033i | −0.119345 | − | 0.0397818i | ||||
\(646\) | 5.91600 | − | 10.2468i | 0.232762 | − | 0.403155i | ||||
\(647\) | −21.4617 | − | 5.75064i | −0.843745 | − | 0.226081i | −0.189044 | − | 0.981969i | \(-0.560539\pi\) |
−0.654701 | + | 0.755888i | \(0.727206\pi\) | |||||||
\(648\) | −0.866025 | + | 0.500000i | −0.0340207 | + | 0.0196419i | ||||
\(649\) | −32.5648 | −1.27828 | ||||||||
\(650\) | 17.9737 | − | 1.39563i | 0.704985 | − | 0.0547412i | ||||
\(651\) | −2.28397 | −0.0895158 | ||||||||
\(652\) | 7.85217 | − | 4.53345i | 0.307515 | − | 0.177544i | ||||
\(653\) | 16.6871 | + | 4.47130i | 0.653018 | + | 0.174976i | 0.570093 | − | 0.821580i | \(-0.306907\pi\) |
0.0829247 | + | 0.996556i | \(0.473574\pi\) | |||||||
\(654\) | 8.82308 | − | 15.2820i | 0.345010 | − | 0.597574i | ||||
\(655\) | −40.4171 | − | 13.4724i | −1.57923 | − | 0.526409i | ||||
\(656\) | −7.22973 | + | 1.93720i | −0.282273 | + | 0.0756350i | ||||
\(657\) | 1.89828 | − | 3.28791i | 0.0740588 | − | 0.128274i | ||||
\(658\) | 31.1010i | 1.21244i | ||||||||
\(659\) | −2.04351 | − | 1.17982i | −0.0796040 | − | 0.0459594i | 0.459670 | − | 0.888090i | \(-0.347968\pi\) |
−0.539274 | + | 0.842131i | \(0.681301\pi\) | |||||||
\(660\) | 7.87711 | − | 1.61193i | 0.306616 | − | 0.0627444i | ||||
\(661\) | −15.6842 | − | 4.20257i | −0.610045 | − | 0.163461i | −0.0594467 | − | 0.998231i | \(-0.518934\pi\) |
−0.550598 | + | 0.834770i | \(0.685600\pi\) | |||||||
\(662\) | −0.599918 | + | 0.599918i | −0.0233165 | + | 0.0233165i | ||||
\(663\) | 1.09638 | + | 5.48188i | 0.0425797 | + | 0.212899i | ||||
\(664\) | − | 8.75611i | − | 0.339803i | ||||||
\(665\) | 65.4421 | + | 43.2084i | 2.53774 | + | 1.67555i | ||||
\(666\) | −5.11219 | − | 8.85457i | −0.198093 | − | 0.343108i | ||||
\(667\) | −1.71508 | − | 6.40076i | −0.0664081 | − | 0.247838i | ||||
\(668\) | −1.39960 | −0.0541522 | ||||||||
\(669\) | 4.78799 | + | 17.8690i | 0.185114 | + | 0.690856i | ||||
\(670\) | −0.405946 | + | 0.359973i | −0.0156831 | + | 0.0139070i | ||||
\(671\) | −3.67006 | + | 3.67006i | −0.141681 | + | 0.141681i | ||||
\(672\) | 4.43916 | − | 1.18947i | 0.171244 | − | 0.0458848i | ||||
\(673\) | −8.05524 | + | 30.0626i | −0.310507 | + | 1.15883i | 0.617594 | + | 0.786497i | \(0.288107\pi\) |
−0.928101 | + | 0.372329i | \(0.878559\pi\) | |||||||
\(674\) | 2.05934 | − | 7.68556i | 0.0793228 | − | 0.296037i | ||||
\(675\) | 0.707107 | + | 4.94975i | 0.0272166 | + | 0.190516i | ||||
\(676\) | 1.66987 | − | 12.8923i | 0.0642259 | − | 0.495858i | ||||
\(677\) | 12.3115 | + | 12.3115i | 0.473170 | + | 0.473170i | 0.902939 | − | 0.429769i | \(-0.141405\pi\) |
−0.429769 | + | 0.902939i | \(0.641405\pi\) | |||||||
\(678\) | −3.71624 | − | 6.43671i | −0.142721 | − | 0.247200i | ||||
\(679\) | 22.4117 | − | 12.9394i | 0.860083 | − | 0.496569i | ||||
\(680\) | −3.46082 | − | 0.207729i | −0.132716 | − | 0.00796604i | ||||
\(681\) | −3.66150 | − | 3.66150i | −0.140309 | − | 0.140309i | ||||
\(682\) | −1.54758 | − | 0.893498i | −0.0592600 | − | 0.0342138i | ||||
\(683\) | −25.4290 | − | 14.6814i | −0.973013 | − | 0.561769i | −0.0728597 | − | 0.997342i | \(-0.523213\pi\) |
−0.900154 | + | 0.435573i | \(0.856546\pi\) | |||||||
\(684\) | −5.39595 | − | 5.39595i | −0.206319 | − | 0.206319i | ||||
\(685\) | −28.9211 | + | 25.6458i | −1.10502 | + | 0.979877i | ||||
\(686\) | 28.3417 | − | 16.3631i | 1.08209 | − | 0.624745i | ||||
\(687\) | −6.04989 | − | 10.4787i | −0.230818 | − | 0.399788i | ||||
\(688\) | −1.01033 | − | 1.01033i | −0.0385186 | − | 0.0385186i | ||||
\(689\) | 25.2528 | − | 37.8792i | 0.962054 | − | 1.44308i | ||||
\(690\) | 0.815515 | − | 2.44655i | 0.0310461 | − | 0.0931384i | ||||
\(691\) | 0.344305 | − | 1.28497i | 0.0130980 | − | 0.0488824i | −0.959068 | − | 0.283177i | \(-0.908611\pi\) |
0.972166 | + | 0.234295i | \(0.0752782\pi\) | |||||||
\(692\) | 5.98174 | − | 22.3242i | 0.227392 | − | 0.848637i | ||||
\(693\) | −15.9621 | + | 4.27704i | −0.606351 | + | 0.162471i | ||||
\(694\) | −2.00516 | + | 2.00516i | −0.0761148 | + | 0.0761148i | ||||
\(695\) | −2.84976 | − | 3.21371i | −0.108098 | − | 0.121903i | ||||
\(696\) | 1.48709 | + | 5.54989i | 0.0563679 | + | 0.210368i | ||||
\(697\) | −11.6052 | −0.439579 | ||||||||
\(698\) | 8.23873 | + | 30.7473i | 0.311840 | + | 1.16380i | ||||
\(699\) | −11.6341 | − | 20.1509i | −0.440042 | − | 0.762176i | ||||
\(700\) | 2.74861 | − | 22.8138i | 0.103888 | − | 0.862280i | ||||
\(701\) | − | 28.0942i | − | 1.06110i | −0.847653 | − | 0.530551i | \(-0.821985\pi\) | ||
0.847653 | − | 0.530551i | \(-0.178015\pi\) | |||||||
\(702\) | 3.59808 | + | 0.232051i | 0.135801 | + | 0.00875819i | ||||
\(703\) | 55.1703 | − | 55.1703i | 2.08079 | − | 2.08079i | ||||
\(704\) | 3.47323 | + | 0.930650i | 0.130902 | + | 0.0350752i | ||||
\(705\) | −12.6280 | − | 8.33769i | −0.475598 | − | 0.314016i | ||||
\(706\) | −7.32316 | − | 4.22803i | −0.275611 | − | 0.159124i | ||||
\(707\) | 22.9116i | 0.861680i | ||||||||
\(708\) | 4.52823 | − | 7.84312i | 0.170181 | − | 0.294763i | ||||
\(709\) | −5.40393 | + | 1.44798i | −0.202949 | + | 0.0543800i | −0.358861 | − | 0.933391i | \(-0.616835\pi\) |
0.155912 | + | 0.987771i | \(0.450168\pi\) | |||||||
\(710\) | −16.4440 | + | 8.22198i | −0.617131 | + | 0.308565i | ||||
\(711\) | 1.38196 | − | 2.39363i | 0.0518277 | − | 0.0897682i | ||||
\(712\) | 0.620358 | + | 0.166225i | 0.0232489 | + | 0.00622953i | ||||
\(713\) | −0.496376 | + | 0.286583i | −0.0185894 | + | 0.0107326i | ||||
\(714\) | 7.12576 | 0.266675 | ||||||||
\(715\) | −26.8552 | − | 10.9184i | −1.00433 | − | 0.408326i | ||||
\(716\) | −7.22386 | −0.269969 | ||||||||
\(717\) | 8.94938 | − | 5.16693i | 0.334221 | − | 0.192962i | ||||
\(718\) | −24.8590 | − | 6.66096i | −0.927731 | − | 0.248585i | ||||
\(719\) | −21.6317 | + | 37.4673i | −0.806728 | + | 1.39729i | 0.108391 | + | 0.994108i | \(0.465430\pi\) |
−0.915119 | + | 0.403185i | \(0.867903\pi\) | |||||||
\(720\) | −0.707107 | + | 2.12132i | −0.0263523 | + | 0.0790569i | ||||
\(721\) | 84.5891 | − | 22.6656i | 3.15026 | − | 0.844110i | ||||
\(722\) | 19.6163 | − | 33.9764i | 0.730044 | − | 1.26447i | ||||
\(723\) | 2.22438i | 0.0827256i | ||||||||
\(724\) | −6.08052 | − | 3.51059i | −0.225981 | − | 0.130470i | ||||
\(725\) | 28.5221 | + | 3.43635i | 1.05928 | + | 0.127623i | ||||
\(726\) | −1.86370 | − | 0.499378i | −0.0691685 | − | 0.0185336i | ||||
\(727\) | 6.37185 | − | 6.37185i | 0.236319 | − | 0.236319i | −0.579005 | − | 0.815324i | \(-0.696559\pi\) |
0.815324 | + | 0.579005i | \(0.196559\pi\) | |||||||
\(728\) | −15.6964 | − | 5.30991i | −0.581748 | − | 0.196798i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | −1.70195 | − | 8.31699i | −0.0629919 | − | 0.307826i | ||||
\(731\) | −1.10770 | − | 1.91860i | −0.0409699 | − | 0.0709620i | ||||
\(732\) | −0.373589 | − | 1.39425i | −0.0138082 | − | 0.0515331i | ||||
\(733\) | 33.1154 | 1.22315 | 0.611573 | − | 0.791188i | \(-0.290537\pi\) | ||||
0.611573 | + | 0.791188i | \(0.290537\pi\) | |||||||
\(734\) | 9.44193 | + | 35.2377i | 0.348508 | + | 1.30065i | ||||
\(735\) | −1.89185 | + | 31.5187i | −0.0697819 | + | 1.16258i | ||||
\(736\) | 0.815515 | − | 0.815515i | 0.0300603 | − | 0.0300603i | ||||
\(737\) | 0.842747 | − | 0.225813i | 0.0310430 | − | 0.00831795i | ||||
\(738\) | −1.93720 | + | 7.22973i | −0.0713093 | + | 0.266130i | ||||
\(739\) | 1.14653 | − | 4.27891i | 0.0421758 | − | 0.157402i | −0.941626 | − | 0.336660i | \(-0.890703\pi\) |
0.983802 | + | 0.179257i | \(0.0573695\pi\) | |||||||
\(740\) | −21.6892 | − | 7.22973i | −0.797310 | − | 0.265770i | ||||
\(741\) | 5.39595 | + | 26.9798i | 0.198225 | + | 0.991126i | ||||
\(742\) | −41.0318 | − | 41.0318i | −1.50633 | − | 1.50633i | ||||
\(743\) | 19.8071 | + | 34.3069i | 0.726653 | + | 1.25860i | 0.958290 | + | 0.285797i | \(0.0922583\pi\) |
−0.231638 | + | 0.972802i | \(0.574408\pi\) | |||||||
\(744\) | 0.430392 | − | 0.248487i | 0.0157789 | − | 0.00910997i | ||||
\(745\) | 0.601991 | − | 10.0293i | 0.0220553 | − | 0.367446i | ||||
\(746\) | 21.2898 | + | 21.2898i | 0.779474 | + | 0.779474i | ||||
\(747\) | −7.58302 | − | 4.37806i | −0.277448 | − | 0.160185i | ||||
\(748\) | 4.82831 | + | 2.78763i | 0.176541 | + | 0.101926i | ||||
\(749\) | −6.59892 | − | 6.59892i | −0.241119 | − | 0.241119i | ||||
\(750\) | 8.52628 | + | 7.23205i | 0.311336 | + | 0.264077i | ||||
\(751\) | 39.5124 | − | 22.8125i | 1.44183 | − | 0.832440i | 0.443856 | − | 0.896098i | \(-0.353610\pi\) |
0.997972 | + | 0.0636587i | \(0.0202769\pi\) | |||||||
\(752\) | −3.38366 | − | 5.86068i | −0.123390 | − | 0.213717i | ||||
\(753\) | 6.93772 | + | 6.93772i | 0.252824 | + | 0.252824i | ||||
\(754\) | 6.63851 | − | 19.6238i | 0.241760 | − | 0.714658i | ||||
\(755\) | −22.8099 | + | 11.4049i | −0.830135 | + | 0.415068i | ||||
\(756\) | 1.18947 | − | 4.43916i | 0.0432606 | − | 0.161451i | ||||
\(757\) | −10.3317 | + | 38.5585i | −0.375513 | + | 1.40143i | 0.477081 | + | 0.878859i | \(0.341695\pi\) |
−0.852594 | + | 0.522574i | \(0.824972\pi\) | |||||||
\(758\) | 23.1719 | − | 6.20889i | 0.841641 | − | 0.225517i | ||||
\(759\) | −2.93239 | + | 2.93239i | −0.106439 | + | 0.106439i | ||||
\(760\) | −17.0328 | − | 1.02236i | −0.617846 | − | 0.0370850i | ||||
\(761\) | 2.17385 | + | 8.11291i | 0.0788019 | + | 0.294093i | 0.994068 | − | 0.108756i | \(-0.0346867\pi\) |
−0.915267 | + | 0.402849i | \(0.868020\pi\) | |||||||
\(762\) | −8.07055 | −0.292365 | ||||||||
\(763\) | 20.9896 | + | 78.3341i | 0.759873 | + | 2.83588i | ||||
\(764\) | −10.3967 | − | 18.0075i | −0.376138 | − | 0.651490i | ||||
\(765\) | −1.91031 | + | 2.89329i | −0.0690673 | + | 0.104607i | ||||
\(766\) | − | 0.721568i | − | 0.0260713i | ||||||
\(767\) | −29.2709 | + | 14.4729i | −1.05691 | + | 0.522586i | ||||
\(768\) | −0.707107 | + | 0.707107i | −0.0255155 | + | 0.0255155i | ||||
\(769\) | −33.6872 | − | 9.02645i | −1.21479 | − | 0.325502i | −0.406150 | − | 0.913806i | \(-0.633129\pi\) |
−0.808640 | + | 0.588304i | \(0.799796\pi\) | |||||||
\(770\) | −20.3599 | + | 30.8364i | −0.733719 | + | 1.11127i | ||||
\(771\) | −7.87900 | − | 4.54894i | −0.283755 | − | 0.163826i | ||||
\(772\) | 25.4792i | 0.917018i | ||||||||
\(773\) | 17.1633 | − | 29.7277i | 0.617320 | − | 1.06923i | −0.372652 | − | 0.927971i | \(-0.621552\pi\) |
0.989973 | − | 0.141259i | \(-0.0451151\pi\) | |||||||
\(774\) | −1.38014 | + | 0.369807i | −0.0496081 | + | 0.0132924i | ||||
\(775\) | −0.351414 | − | 2.45989i | −0.0126231 | − | 0.0883620i | ||||
\(776\) | −2.81552 | + | 4.87662i | −0.101071 | + | 0.175060i | ||||
\(777\) | 45.3876 | + | 12.1616i | 1.62827 | + | 0.436294i | ||||
\(778\) | 29.9139 | − | 17.2708i | 1.07247 | − | 0.619189i | ||||
\(779\) | −57.1165 | −2.04641 | ||||||||
\(780\) | 6.36396 | − | 4.94975i | 0.227866 | − | 0.177229i | ||||
\(781\) | 29.5642 | 1.05789 | ||||||||
\(782\) | 1.54865 | − | 0.894111i | 0.0553795 | − | 0.0319734i | ||||
\(783\) | 5.54989 | + | 1.48709i | 0.198337 | + | 0.0531442i | ||||
\(784\) | −7.06048 | + | 12.2291i | −0.252160 | + | 0.436754i | ||||
\(785\) | 8.97078 | + | 17.9416i | 0.320181 | + | 0.640361i | ||||
\(786\) | −18.4036 | + | 4.93123i | −0.656435 | + | 0.175891i | ||||
\(787\) | 26.0748 | − | 45.1629i | 0.929467 | − | 1.60988i | 0.145252 | − | 0.989395i | \(-0.453601\pi\) |
0.784215 | − | 0.620490i | \(-0.213066\pi\) | |||||||
\(788\) | − | 3.91359i | − | 0.139416i | ||||||
\(789\) | −7.04921 | − | 4.06987i | −0.250959 | − | 0.144891i | ||||
\(790\) | −1.23903 | − | 6.05485i | −0.0440829 | − | 0.215422i | ||||
\(791\) | 32.9939 | + | 8.84069i | 1.17313 | + | 0.314339i | ||||
\(792\) | 2.54258 | − | 2.54258i | 0.0903467 | − | 0.0903467i | ||||
\(793\) | −1.66774 | + | 4.92994i | −0.0592232 | + | 0.175067i | ||||
\(794\) | − | 29.9238i | − | 1.06196i | ||||||
\(795\) | 27.6603 | − | 5.66025i | 0.981008 | − | 0.200749i | ||||
\(796\) | 5.06110 | + | 8.76608i | 0.179386 | + | 0.310706i | ||||
\(797\) | 8.61098 | + | 32.1366i | 0.305017 | + | 1.13834i | 0.932931 | + | 0.360055i | \(0.117242\pi\) |
−0.627915 | + | 0.778282i | \(0.716091\pi\) | |||||||
\(798\) | 35.0703 | 1.24148 | ||||||||
\(799\) | −2.71574 | − | 10.1353i | −0.0960759 | − | 0.358560i | ||||
\(800\) | 1.96410 | + | 4.59808i | 0.0694415 | + | 0.162567i | ||||
\(801\) | 0.454134 | − | 0.454134i | 0.0160460 | − | 0.0160460i | ||||
\(802\) | −6.61965 | + | 1.77373i | −0.233748 | + | 0.0626326i | ||||
\(803\) | −3.53326 | + | 13.1863i | −0.124686 | + | 0.465334i | ||||
\(804\) | −0.0628000 | + | 0.234373i | −0.00221479 | + | 0.00826570i | ||||
\(805\) | 5.30034 | + | 10.6007i | 0.186812 | + | 0.373625i | ||||
\(806\) | −1.78815 | − | 0.115323i | −0.0629849 | − | 0.00406209i | ||||
\(807\) | 6.43488 | + | 6.43488i | 0.226518 | + | 0.226518i | ||||
\(808\) | −2.49269 | − | 4.31747i | −0.0876927 | − | 0.151888i | ||||
\(809\) | −2.57136 | + | 1.48458i | −0.0904043 | + | 0.0521950i | −0.544521 | − | 0.838747i | \(-0.683288\pi\) |
0.454116 | + | 0.890942i | \(0.349955\pi\) | |||||||
\(810\) | 1.48356 | + | 1.67303i | 0.0521271 | + | 0.0587844i | ||||
\(811\) | 22.2623 | + | 22.2623i | 0.781735 | + | 0.781735i | 0.980124 | − | 0.198388i | \(-0.0635707\pi\) |
−0.198388 | + | 0.980124i | \(0.563571\pi\) | |||||||
\(812\) | −22.8680 | − | 13.2028i | −0.802509 | − | 0.463329i | ||||
\(813\) | −16.3217 | − | 9.42334i | −0.572427 | − | 0.330491i | ||||
\(814\) | 25.9963 | + | 25.9963i | 0.911171 | + | 0.911171i | ||||
\(815\) | −13.4513 | − | 15.1692i | −0.471180 | − | 0.531355i | ||||
\(816\) | −1.34278 | + | 0.775255i | −0.0470067 | + | 0.0271394i | ||||
\(817\) | −5.45171 | − | 9.44263i | −0.190731 | − | 0.330356i | ||||
\(818\) | −9.93993 | − | 9.93993i | −0.347542 | − | 0.347542i | ||||
\(819\) | −12.4467 | + | 10.9385i | −0.434924 | + | 0.382223i | ||||
\(820\) | 7.48477 | + | 14.9695i | 0.261379 | + | 0.522759i | ||||
\(821\) | −14.2761 | + | 53.2791i | −0.498239 | + | 1.85945i | 0.0128385 | + | 0.999918i | \(0.495913\pi\) |
−0.511077 | + | 0.859535i | \(0.670753\pi\) | |||||||
\(822\) | −4.47411 | + | 16.6976i | −0.156053 | + | 0.582396i | ||||
\(823\) | −3.11563 | + | 0.834831i | −0.108604 | + | 0.0291004i | −0.312712 | − | 0.949848i | \(-0.601237\pi\) |
0.204108 | + | 0.978948i | \(0.434571\pi\) | |||||||
\(824\) | −13.4741 | + | 13.4741i | −0.469391 | + | 0.469391i | ||||
\(825\) | −7.06243 | − | 16.5336i | −0.245882 | − | 0.575624i | ||||
\(826\) | 10.7724 | + | 40.2030i | 0.374819 | + | 1.39884i | ||||
\(827\) | 36.5493 | 1.27094 | 0.635471 | − | 0.772125i | \(-0.280806\pi\) | ||||
0.635471 | + | 0.772125i | \(0.280806\pi\) | |||||||
\(828\) | −0.298499 | − | 1.11401i | −0.0103736 | − | 0.0387147i | ||||
\(829\) | 19.3877 | + | 33.5804i | 0.673361 | + | 1.16630i | 0.976945 | + | 0.213491i | \(0.0684835\pi\) |
−0.303584 | + | 0.952805i | \(0.598183\pi\) | |||||||
\(830\) | −19.1818 | + | 3.92526i | −0.665809 | + | 0.136248i | ||||
\(831\) | 4.56977i | 0.158523i | ||||||||
\(832\) | 3.53553 | − | 0.707107i | 0.122573 | − | 0.0245145i | ||||
\(833\) | −15.4819 | + | 15.4819i | −0.536415 | + | 0.536415i | ||||
\(834\) | −1.85544 | − | 0.497162i | −0.0642485 | − | 0.0172153i | ||||
\(835\) | 0.627424 | + | 3.06607i | 0.0217129 | + | 0.106106i | ||||
\(836\) | 23.7631 | + | 13.7197i | 0.821865 | + | 0.474504i | ||||
\(837\) | − | 0.496974i | − | 0.0171779i | ||||||
\(838\) | −12.6100 | + | 21.8412i | −0.435605 | + | 0.754490i | ||||
\(839\) | −31.0861 | + | 8.32950i | −1.07321 | + | 0.287566i | −0.751812 | − | 0.659377i | \(-0.770820\pi\) |
−0.321400 | + | 0.946943i | \(0.604153\pi\) | |||||||
\(840\) | −4.59575 | − | 9.19151i | −0.158569 | − | 0.317137i | ||||
\(841\) | 2.00634 | − | 3.47509i | 0.0691843 | − | 0.119831i | ||||
\(842\) | −0.727771 | − | 0.195006i | −0.0250806 | − | 0.00672034i | ||||
\(843\) | 10.4159 | − | 6.01362i | 0.358742 | − | 0.207120i | ||||
\(844\) | 4.20131 | 0.144615 | ||||||||
\(845\) | −28.9914 | + | 2.12132i | −0.997334 | + | 0.0729756i | ||||
\(846\) | −6.76733 | −0.232665 | ||||||||
\(847\) | 7.67928 | − | 4.43363i | 0.263863 | − | 0.152341i | ||||
\(848\) | 12.1962 | + | 3.26795i | 0.418818 | + | 0.112222i | ||||
\(849\) | 0.625789 | − | 1.08390i | 0.0214770 | − | 0.0371993i | ||||
\(850\) | 1.09638 | + | 7.67463i | 0.0376054 | + | 0.263238i | ||||
\(851\) | 11.3901 | − | 3.05197i | 0.390448 | − | 0.104620i | ||||
\(852\) | −4.11099 | + | 7.12044i | −0.140840 | + | 0.243942i | ||||
\(853\) | 22.7906i | 0.780334i | 0.920744 | + | 0.390167i | \(0.127583\pi\) | ||||
−0.920744 | + | 0.390167i | \(0.872417\pi\) | |||||||
\(854\) | 5.74494 | + | 3.31684i | 0.196588 | + | 0.113500i | ||||
\(855\) | −9.40182 | + | 14.2397i | −0.321535 | + | 0.486987i | ||||
\(856\) | 1.96144 | + | 0.525566i | 0.0670406 | + | 0.0179635i | ||||
\(857\) | −23.9484 | + | 23.9484i | −0.818063 | + | 0.818063i | −0.985827 | − | 0.167764i | \(-0.946345\pi\) |
0.167764 | + | 0.985827i | \(0.446345\pi\) | |||||||
\(858\) | −12.7129 | + | 2.54258i | −0.434012 | + | 0.0868023i | ||||
\(859\) | 6.91162i | 0.235821i | 0.993024 | + | 0.117911i | \(0.0376197\pi\) | ||||
−0.993024 | + | 0.117911i | \(0.962380\pi\) | |||||||
\(860\) | −1.76039 | + | 2.66622i | −0.0600286 | + | 0.0909175i | ||||
\(861\) | −17.1991 | − | 29.7897i | −0.586143 | − | 1.01523i | ||||
\(862\) | −6.29012 | − | 23.4751i | −0.214242 | − | 0.799564i | ||||
\(863\) | −24.3385 | −0.828491 | −0.414245 | − | 0.910165i | \(-0.635954\pi\) | ||||
−0.414245 | + | 0.910165i | \(0.635954\pi\) | |||||||
\(864\) | 0.258819 | + | 0.965926i | 0.00880520 | + | 0.0328615i | ||||
\(865\) | −51.5864 | − | 3.09638i | −1.75399 | − | 0.105280i | ||||
\(866\) | −16.1735 | + | 16.1735i | −0.549598 | + | 0.549598i | ||||
\(867\) | 14.0986 | − | 3.77770i | 0.478813 | − | 0.128297i | ||||
\(868\) | −0.591135 | + | 2.20614i | −0.0200644 | + | 0.0748814i | ||||
\(869\) | −2.57225 | + | 9.59976i | −0.0872575 | + | 0.325650i | ||||
\(870\) | 11.4913 | − | 5.74567i | 0.389593 | − | 0.194796i | ||||
\(871\) | 0.657146 | − | 0.577519i | 0.0222665 | − | 0.0195685i | ||||
\(872\) | −12.4777 | − | 12.4777i | −0.422549 | − | 0.422549i | ||||
\(873\) | 2.81552 | + | 4.87662i | 0.0952908 | + | 0.165048i | ||||
\(874\) | 7.62186 | − | 4.40048i | 0.257813 | − | 0.148849i | ||||
\(875\) | −51.2097 | + | 4.20584i | −1.73120 | + | 0.142183i | ||||
\(876\) | −2.68457 | − | 2.68457i | −0.0907031 | − | 0.0907031i | ||||
\(877\) | −39.6098 | − | 22.8687i | −1.33753 | − | 0.772221i | −0.351086 | − | 0.936343i | \(-0.614188\pi\) |
−0.986440 | + | 0.164122i | \(0.947521\pi\) | |||||||
\(878\) | −16.2612 | − | 9.38839i | −0.548788 | − | 0.316843i | ||||
\(879\) | 6.91875 | + | 6.91875i | 0.233364 | + | 0.233364i | ||||
\(880\) | 0.481740 | − | 8.02591i | 0.0162394 | − | 0.270553i | ||||
\(881\) | −10.7076 | + | 6.18206i | −0.360749 | + | 0.208279i | −0.669409 | − | 0.742894i | \(-0.733453\pi\) |
0.308660 | + | 0.951172i | \(0.400119\pi\) | |||||||
\(882\) | 7.06048 | + | 12.2291i | 0.237739 | + | 0.411775i | ||||
\(883\) | 9.47873 | + | 9.47873i | 0.318985 | + | 0.318985i | 0.848377 | − | 0.529392i | \(-0.177580\pi\) |
−0.529392 | + | 0.848377i | \(0.677580\pi\) | |||||||
\(884\) | 5.57885 | + | 0.359797i | 0.187637 | + | 0.0121013i | ||||
\(885\) | −19.2116 | − | 6.40388i | −0.645792 | − | 0.215264i | ||||
\(886\) | 1.68493 | − | 6.28825i | 0.0566064 | − | 0.211258i | ||||
\(887\) | 5.60688 | − | 20.9252i | 0.188261 | − | 0.702599i | −0.805648 | − | 0.592394i | \(-0.798183\pi\) |
0.993909 | − | 0.110204i | \(-0.0351505\pi\) | |||||||
\(888\) | −9.87599 | + | 2.64626i | −0.331417 | + | 0.0888028i | ||||
\(889\) | 26.2268 | − | 26.2268i | 0.879618 | − | 0.879618i | ||||
\(890\) | 0.0860442 | − | 1.43352i | 0.00288421 | − | 0.0480516i | ||||
\(891\) | −0.930650 | − | 3.47323i | −0.0311779 | − | 0.116358i | ||||
\(892\) | 18.4994 | 0.619405 | ||||||||
\(893\) | −13.3658 | − | 49.8820i | −0.447271 | − | 1.66924i | ||||
\(894\) | −2.24666 | − | 3.89133i | −0.0751396 | − | 0.130146i | ||||
\(895\) | 3.23837 | + | 15.8251i | 0.108247 | + | 0.528975i | ||||
\(896\) | − | 4.59575i | − | 0.153533i | ||||||
\(897\) | −1.33253 | + | 3.93904i | −0.0444919 | + | 0.131521i | ||||
\(898\) | −4.37821 | + | 4.37821i | −0.146103 | + | 0.146103i | ||||
\(899\) | −2.75815 | − | 0.739044i | −0.0919894 | − | 0.0246485i | ||||
\(900\) | 4.96410 | + | 0.598076i | 0.165470 | + | 0.0199359i | ||||
\(901\) | 16.9545 | + | 9.78867i | 0.564835 | + | 0.326108i | ||||
\(902\) | − | 26.9134i | − | 0.896117i | ||||||
\(903\) | 3.28327 | − | 5.68678i | 0.109260 | − | 0.189244i | ||||
\(904\) | −7.17922 | + | 1.92367i | −0.238777 | + | 0.0639802i | ||||
\(905\) | −4.96472 | + | 14.8942i | −0.165033 | + | 0.495099i | ||||
\(906\) | −5.70246 | + | 9.87695i | −0.189452 | + | 0.328140i | ||||
\(907\) | −41.2099 | − | 11.0422i | −1.36835 | − | 0.366649i | −0.501475 | − | 0.865172i | \(-0.667209\pi\) |
−0.866876 | + | 0.498523i | \(0.833876\pi\) | |||||||
\(908\) | −4.48440 | + | 2.58907i | −0.148820 | + | 0.0859213i | ||||
\(909\) | −4.98539 | −0.165355 | ||||||||
\(910\) | −4.59575 | + | 36.7660i | −0.152348 | + | 1.21878i | ||||
\(911\) | 36.6088 | 1.21290 | 0.606451 | − | 0.795121i | \(-0.292592\pi\) | ||||
0.606451 | + | 0.795121i | \(0.292592\pi\) | |||||||
\(912\) | −6.60867 | + | 3.81552i | −0.218835 | + | 0.126344i | ||||
\(913\) | 30.4120 | + | 8.14888i | 1.00649 | + | 0.269688i | ||||
\(914\) | −8.39079 | + | 14.5333i | −0.277543 | + | 0.480718i | ||||
\(915\) | −2.88687 | + | 1.44344i | −0.0954371 | + | 0.0477186i | ||||
\(916\) | −11.6875 | + | 3.13165i | −0.386165 | + | 0.103473i | ||||
\(917\) | 43.7810 | − | 75.8309i | 1.44578 | − | 2.50416i | ||||
\(918\) | 1.55051i | 0.0511745i | ||||||||
\(919\) | 14.6408 | + | 8.45289i | 0.482957 | + | 0.278835i | 0.721648 | − | 0.692260i | \(-0.243385\pi\) |
−0.238691 | + | 0.971096i | \(0.576718\pi\) | |||||||
\(920\) | −2.15211 | − | 1.42094i | −0.0709530 | − | 0.0468470i | ||||
\(921\) | 16.6732 | + | 4.46756i | 0.549399 | + | 0.147211i | ||||
\(922\) | 26.0373 | − | 26.0373i | 0.857493 | − | 0.857493i | ||||
\(923\) | 26.5738 | − | 13.1393i | 0.874689 | − | 0.432487i | ||||
\(924\) | 16.5252i | 0.543639i | ||||||||
\(925\) | −6.11496 | + | 50.7549i | −0.201059 | + | 1.66881i | ||||
\(926\) | −13.4341 | − | 23.2686i | −0.441474 | − | 0.764655i | ||||
\(927\) | 4.93185 | + | 18.4059i | 0.161983 | + | 0.604530i | ||||
\(928\) | 5.74567 | 0.188611 | ||||||||
\(929\) | −0.593290 | − | 2.21419i | −0.0194652 | − | 0.0726452i | 0.955510 | − | 0.294959i | \(-0.0953059\pi\) |
−0.974975 | + | 0.222313i | \(0.928639\pi\) | |||||||
\(930\) | −0.737292 | − | 0.831453i | −0.0241768 | − | 0.0272644i | ||||
\(931\) | −76.1960 | + | 76.1960i | −2.49722 | + | 2.49722i | ||||
\(932\) | −22.4754 | + | 6.02226i | −0.736205 | + | 0.197266i | ||||
\(933\) | −2.57394 | + | 9.60609i | −0.0842671 | + | 0.314489i | ||||
\(934\) | 2.56413 | − | 9.56945i | 0.0839008 | − | 0.313122i | ||||
\(935\) | 3.94230 | − | 11.8269i | 0.128927 | − | 0.386781i | ||||
\(936\) | 1.15539 | − | 3.41542i | 0.0377653 | − | 0.111636i | ||||
\(937\) | −27.0807 | − | 27.0807i | −0.884687 | − | 0.884687i | 0.109319 | − | 0.994007i | \(-0.465133\pi\) |
−0.994007 | + | 0.109319i | \(0.965133\pi\) | |||||||
\(938\) | −0.557558 | − | 0.965720i | −0.0182049 | − | 0.0315319i | ||||
\(939\) | 17.6090 | − | 10.1666i | 0.574648 | − | 0.331773i | ||||
\(940\) | −11.3220 | + | 10.0398i | −0.369282 | + | 0.327461i | ||||
\(941\) | 11.6289 | + | 11.6289i | 0.379091 | + | 0.379091i | 0.870774 | − | 0.491683i | \(-0.163618\pi\) |
−0.491683 | + | 0.870774i | \(0.663618\pi\) | |||||||
\(942\) | 7.76892 | + | 4.48539i | 0.253125 | + | 0.146142i | ||||
\(943\) | −7.47577 | − | 4.31614i | −0.243445 | − | 0.140553i | ||||
\(944\) | −6.40388 | − | 6.40388i | −0.208429 | − | 0.208429i | ||||
\(945\) | −10.2580 | − | 0.615714i | −0.333691 | − | 0.0200292i | ||||
\(946\) | 4.44938 | − | 2.56885i | 0.144662 | − | 0.0835206i | ||||
\(947\) | 12.6948 | + | 21.9880i | 0.412525 | + | 0.714514i | 0.995165 | − | 0.0982160i | \(-0.0313136\pi\) |
−0.582640 | + | 0.812730i | \(0.697980\pi\) | |||||||
\(948\) | −1.95439 | − | 1.95439i | −0.0634757 | − | 0.0634757i | ||||
\(949\) | 2.68457 | + | 13.4228i | 0.0871447 | + | 0.435724i | ||||
\(950\) | 5.39595 | + | 37.7717i | 0.175068 | + | 1.22547i | ||||
\(951\) | 0.310789 | − | 1.15988i | 0.0100780 | − | 0.0376117i | ||||
\(952\) | 1.84428 | − | 6.88296i | 0.0597736 | − | 0.223078i | ||||
\(953\) | 8.09473 | − | 2.16898i | 0.262214 | − | 0.0702601i | −0.125317 | − | 0.992117i | \(-0.539995\pi\) |
0.387531 | + | 0.921857i | \(0.373328\pi\) | |||||||
\(954\) | 8.92820 | − | 8.92820i | 0.289061 | − | 0.289061i | ||||
\(955\) | −34.7879 | + | 30.8482i | −1.12571 | + | 0.998225i | ||||
\(956\) | −2.67460 | − | 9.98174i | −0.0865027 | − | 0.322833i | ||||
\(957\) | −20.6600 | −0.667843 | ||||||||
\(958\) | −9.29474 | − | 34.6885i | −0.300300 | − | 1.12073i | ||||
\(959\) | −39.7226 | − | 68.8015i | −1.28271 | − | 2.22172i | ||||
\(960\) | 1.86603 | + | 1.23205i | 0.0602257 | + | 0.0397643i | ||||
\(961\) | − | 30.7530i | − | 0.992033i | ||||||
\(962\) | 34.9205 | + | 11.8132i | 1.12588 | + | 0.380873i | ||||
\(963\) | 1.43587 | − | 1.43587i | 0.0462704 | − | 0.0462704i | ||||
\(964\) | 2.14859 | + | 0.575712i | 0.0692013 | + | 0.0185424i | ||||
\(965\) | 55.8166 | − | 11.4220i | 1.79680 | − | 0.367688i | ||||
\(966\) | 4.59023 | + | 2.65017i | 0.147688 | + | 0.0852678i | ||||
\(967\) | 17.2490i | 0.554690i | 0.960770 | + | 0.277345i | \(0.0894545\pi\) | ||||
−0.960770 | + | 0.277345i | \(0.910545\pi\) | |||||||
\(968\) | −0.964724 | + | 1.67095i | −0.0310074 | + | 0.0537064i | ||||
\(969\) | −11.4288 | + | 3.06234i | −0.367147 | + | 0.0983767i | ||||
\(970\) | 11.9452 | + | 3.98174i | 0.383538 | + | 0.127846i | ||||
\(971\) | −2.05077 | + | 3.55203i | −0.0658123 | + | 0.113990i | −0.897054 | − | 0.441921i | \(-0.854297\pi\) |
0.831242 | + | 0.555911i | \(0.187631\pi\) | |||||||
\(972\) | 0.965926 | + | 0.258819i | 0.0309821 | + | 0.00830162i | ||||
\(973\) | 7.64521 | − | 4.41396i | 0.245094 | − | 0.141505i | ||||
\(974\) | 9.98731 | 0.320014 | ||||||||
\(975\) | −13.6962 | − | 11.7224i | −0.438628 | − | 0.375418i | ||||
\(976\) | −1.44344 | −0.0462033 | ||||||||
\(977\) | −28.2766 | + | 16.3255i | −0.904647 | + | 0.522298i | −0.878705 | − | 0.477365i | \(-0.841592\pi\) |
−0.0259424 | + | 0.999663i | \(0.508259\pi\) | |||||||
\(978\) | −8.75796 | − | 2.34669i | −0.280049 | − | 0.0750388i | ||||
\(979\) | −1.15467 | + | 1.99995i | −0.0369035 | + | 0.0639187i | ||||
\(980\) | 29.9551 | + | 9.98502i | 0.956880 | + | 0.318960i | ||||
\(981\) | −17.0449 | + | 4.56716i | −0.544201 | + | 0.145818i | ||||
\(982\) | −2.13129 | + | 3.69150i | −0.0680121 | + | 0.117800i | ||||
\(983\) | 43.4739i | 1.38660i | 0.720648 | + | 0.693301i | \(0.243844\pi\) | ||||
−0.720648 | + | 0.693301i | \(0.756156\pi\) | |||||||
\(984\) | 6.48200 | + | 3.74238i | 0.206639 | + | 0.119303i | ||||
\(985\) | −8.57339 | + | 1.75442i | −0.273171 | + | 0.0559003i | ||||
\(986\) | 8.60516 | + | 2.30575i | 0.274044 | + | 0.0734299i | ||||
\(987\) | 21.9917 | − | 21.9917i | 0.700004 | − | 0.700004i | ||||
\(988\) | 27.4570 | + | 1.77079i | 0.873524 | + | 0.0563362i | ||||
\(989\) | − | 1.64788i | − | 0.0523996i | ||||||
\(990\) | −6.70977 | − | 4.43015i | −0.213250 | − | 0.140799i | ||||
\(991\) | 2.24028 | + | 3.88028i | 0.0711649 | + | 0.123261i | 0.899412 | − | 0.437102i | \(-0.143995\pi\) |
−0.828247 | + | 0.560363i | \(0.810662\pi\) | |||||||
\(992\) | −0.128626 | − | 0.480040i | −0.00408389 | − | 0.0152413i | ||||
\(993\) | 0.848412 | 0.0269235 | ||||||||
\(994\) | −9.77978 | − | 36.4986i | −0.310196 | − | 1.15767i | ||||
\(995\) | 16.9348 | − | 15.0169i | 0.536868 | − | 0.476069i | ||||
\(996\) | −6.19151 | + | 6.19151i | −0.196185 | + | 0.196185i | ||||
\(997\) | 4.81529 | − | 1.29025i | 0.152502 | − | 0.0408627i | −0.181760 | − | 0.983343i | \(-0.558180\pi\) |
0.334262 | + | 0.942480i | \(0.391513\pi\) | |||||||
\(998\) | 2.70434 | − | 10.0927i | 0.0856043 | − | 0.319480i | ||||
\(999\) | −2.64626 | + | 9.87599i | −0.0837241 | + | 0.312463i |
(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 | 390.2.bd.a.37.2 | ✓ | 8 | |
5.3 | odd | 4 | 390.2.bn.a.193.1 | yes | 8 | ||
13.6 | odd | 12 | 390.2.bn.a.97.1 | yes | 8 | ||
65.58 | even | 12 | inner | 390.2.bd.a.253.2 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
390.2.bd.a.37.2 | ✓ | 8 | 1.1 | even | 1 | trivial | |
390.2.bd.a.253.2 | yes | 8 | 65.58 | even | 12 | inner | |
390.2.bn.a.97.1 | yes | 8 | 13.6 | odd | 12 | ||
390.2.bn.a.193.1 | yes | 8 | 5.3 | odd | 4 |