Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [234,3,Mod(19,234)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(234, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("234.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 234 = 2 \cdot 3^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 234.bb (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: | \(6.37603818603\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} + 2x^{6} + 82x^{5} + 5053x^{4} - 6736x^{3} + 6728x^{2} + 275384x + 5635876 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 78) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 37.1 | ||
Root | \(5.41254 - 5.41254i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 234.37 |
Dual form | 234.3.bb.d.19.1 |
$q$-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 \(\left(\mathbb{Z}/234\mathbb{Z}\right)^\times\).
\(n\) | \(145\) | \(209\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.366025 | − | 1.36603i | 0.183013 | − | 0.683013i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.73205 | − | 1.00000i | −0.433013 | − | 0.250000i | ||||
\(5\) | −4.41254 | − | 4.41254i | −0.882508 | − | 0.882508i | 0.111281 | − | 0.993789i | \(-0.464505\pi\) |
−0.993789 | + | 0.111281i | \(0.964505\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.11510 | + | 7.89367i | 0.302157 | + | 1.12767i | 0.935365 | + | 0.353685i | \(0.115071\pi\) |
−0.633207 | + | 0.773982i | \(0.718262\pi\) | |||||||
\(8\) | −2.00000 | + | 2.00000i | −0.250000 | + | 0.250000i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −7.64274 | + | 4.41254i | −0.764274 | + | 0.441254i | ||||
\(11\) | −18.5194 | − | 4.96225i | −1.68358 | − | 0.451114i | −0.714860 | − | 0.699268i | \(-0.753510\pi\) |
−0.968721 | + | 0.248154i | \(0.920176\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −12.9213 | − | 1.42820i | −0.993947 | − | 0.109862i | ||||
\(14\) | 11.5571 | 0.825509 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | 19.9936 | + | 11.5433i | 1.17609 | + | 0.679018i | 0.955108 | − | 0.296259i | \(-0.0957392\pi\) |
0.220986 | + | 0.975277i | \(0.429073\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.417587 | − | 0.111892i | 0.0219783 | − | 0.00588906i | −0.247813 | − | 0.968808i | \(-0.579712\pi\) |
0.269791 | + | 0.962919i | \(0.413045\pi\) | |||||||
\(20\) | 3.23020 | + | 12.0553i | 0.161510 | + | 0.602764i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −13.5571 | + | 23.4816i | −0.616233 | + | 1.06735i | ||||
\(23\) | −36.4688 | + | 21.0553i | −1.58560 | + | 0.915447i | −0.591581 | + | 0.806245i | \(0.701496\pi\) |
−0.994020 | + | 0.109202i | \(0.965171\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 13.9410i | 0.557641i | ||||||||
\(26\) | −6.68049 | + | 17.1281i | −0.256942 | + | 0.658772i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.23020 | − | 15.7873i | 0.151079 | − | 0.563833i | ||||
\(29\) | 3.25785 | + | 5.64275i | 0.112340 | + | 0.194578i | 0.916713 | − | 0.399546i | \(-0.130832\pi\) |
−0.804374 | + | 0.594124i | \(0.797499\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −17.8476 | − | 17.8476i | −0.575730 | − | 0.575730i | 0.357994 | − | 0.933724i | \(-0.383461\pi\) |
−0.933724 | + | 0.357994i | \(0.883461\pi\) | |||||||
\(32\) | 5.46410 | − | 1.46410i | 0.170753 | − | 0.0457532i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 23.0866 | − | 23.0866i | 0.679018 | − | 0.679018i | ||||
\(35\) | 25.4982 | − | 44.1641i | 0.728519 | − | 1.26183i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.37988 | − | 0.369738i | −0.0372940 | − | 0.00999291i | 0.240124 | − | 0.970742i | \(-0.422812\pi\) |
−0.277418 | + | 0.960749i | \(0.589479\pi\) | |||||||
\(38\) | − | 0.611390i | − | 0.0160892i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 17.6502 | 0.441254 | ||||||||
\(41\) | 10.8187 | − | 40.3758i | 0.263870 | − | 0.984776i | −0.699068 | − | 0.715055i | \(-0.746402\pi\) |
0.962938 | − | 0.269721i | \(-0.0869316\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −51.1299 | − | 29.5199i | −1.18907 | − | 0.686509i | −0.230973 | − | 0.972960i | \(-0.574191\pi\) |
−0.958095 | + | 0.286452i | \(0.907524\pi\) | |||||||
\(44\) | 27.1143 | + | 27.1143i | 0.616233 | + | 0.616233i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 15.4135 | + | 57.5241i | 0.335077 | + | 1.25052i | ||||
\(47\) | −15.0543 | + | 15.0543i | −0.320303 | + | 0.320303i | −0.848883 | − | 0.528580i | \(-0.822725\pi\) |
0.528580 | + | 0.848883i | \(0.322725\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −15.4011 | + | 8.89182i | −0.314308 | + | 0.181466i | ||||
\(50\) | 19.0438 | + | 5.10277i | 0.380876 | + | 0.102055i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 20.9522 | + | 15.3950i | 0.402926 | + | 0.296058i | ||||
\(53\) | −8.90794 | −0.168074 | −0.0840372 | − | 0.996463i | \(-0.526781\pi\) | ||||
−0.0840372 | + | 0.996463i | \(0.526781\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 59.8214 | + | 103.614i | 1.08766 | + | 1.88389i | ||||
\(56\) | −20.0175 | − | 11.5571i | −0.357456 | − | 0.206377i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 8.90060 | − | 2.38491i | 0.153459 | − | 0.0411191i | ||||
\(59\) | −11.4200 | − | 42.6199i | −0.193559 | − | 0.722371i | −0.992635 | − | 0.121141i | \(-0.961345\pi\) |
0.799077 | − | 0.601229i | \(-0.205322\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 44.8027 | − | 77.6005i | 0.734470 | − | 1.27214i | −0.220485 | − | 0.975390i | \(-0.570764\pi\) |
0.954955 | − | 0.296749i | \(-0.0959025\pi\) | |||||||
\(62\) | −30.9130 | + | 17.8476i | −0.498597 | + | 0.287865i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 8.00000i | − | 0.125000i | ||||||
\(65\) | 50.7138 | + | 63.3178i | 0.780212 | + | 0.974120i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 10.2563 | − | 38.2772i | 0.153080 | − | 0.571302i | −0.846182 | − | 0.532893i | \(-0.821105\pi\) |
0.999262 | − | 0.0384081i | \(-0.0122287\pi\) | |||||||
\(68\) | −23.0866 | − | 39.9872i | −0.339509 | − | 0.588047i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −50.9963 | − | 50.9963i | −0.728519 | − | 0.728519i | ||||
\(71\) | −8.56730 | + | 2.29560i | −0.120666 | + | 0.0323324i | −0.318647 | − | 0.947874i | \(-0.603228\pi\) |
0.197981 | + | 0.980206i | \(0.436562\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.92683 | + | 5.92683i | −0.0811895 | + | 0.0811895i | −0.746535 | − | 0.665346i | \(-0.768284\pi\) |
0.665346 | + | 0.746535i | \(0.268284\pi\) | |||||||
\(74\) | −1.01014 | + | 1.74962i | −0.0136506 | + | 0.0236435i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.835174 | − | 0.223784i | −0.0109891 | − | 0.00294453i | ||||
\(77\) | − | 156.682i | − | 2.03483i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 115.826 | 1.46616 | 0.733078 | − | 0.680144i | \(-0.238083\pi\) | ||||
0.733078 | + | 0.680144i | \(0.238083\pi\) | |||||||
\(80\) | 6.46041 | − | 24.1106i | 0.0807551 | − | 0.301382i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −51.1945 | − | 29.5572i | −0.624323 | − | 0.360453i | ||||
\(83\) | 34.2340 | + | 34.2340i | 0.412458 | + | 0.412458i | 0.882594 | − | 0.470136i | \(-0.155795\pi\) |
−0.470136 | + | 0.882594i | \(0.655795\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −37.2872 | − | 139.158i | −0.438673 | − | 1.63715i | ||||
\(86\) | −59.0397 | + | 59.0397i | −0.686509 | + | 0.686509i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 46.9633 | − | 27.1143i | 0.533674 | − | 0.308117i | ||||
\(89\) | −58.0728 | − | 15.5606i | −0.652503 | − | 0.174838i | −0.0826429 | − | 0.996579i | \(-0.526336\pi\) |
−0.569860 | + | 0.821741i | \(0.693003\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −16.0561 | − | 105.017i | −0.176441 | − | 1.15404i | ||||
\(92\) | 84.2211 | 0.915447 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 15.0543 | + | 26.0747i | 0.160152 | + | 0.277391i | ||||
\(95\) | −2.33635 | − | 1.34889i | −0.0245931 | − | 0.0141988i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −129.142 | + | 34.6035i | −1.33136 | + | 0.356737i | −0.853223 | − | 0.521547i | \(-0.825355\pi\) |
−0.478139 | + | 0.878284i | \(0.658688\pi\) | |||||||
\(98\) | 6.50926 | + | 24.2929i | 0.0664211 | + | 0.247887i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 13.9410 | − | 24.1466i | 0.139410 | − | 0.241466i | ||||
\(101\) | −33.1291 | + | 19.1271i | −0.328010 | + | 0.189377i | −0.654957 | − | 0.755666i | \(-0.727313\pi\) |
0.326947 | + | 0.945043i | \(0.393980\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 65.9827i | 0.640609i | 0.947315 | + | 0.320304i | \(0.103785\pi\) | ||||
−0.947315 | + | 0.320304i | \(0.896215\pi\) | |||||||
\(104\) | 28.6990 | − | 22.9862i | 0.275952 | − | 0.221021i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.26053 | + | 12.1685i | −0.0307597 | + | 0.114797i | ||||
\(107\) | 47.2413 | + | 81.8244i | 0.441508 | + | 0.764714i | 0.997802 | − | 0.0662716i | \(-0.0211104\pi\) |
−0.556294 | + | 0.830986i | \(0.687777\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −100.935 | − | 100.935i | −0.926011 | − | 0.926011i | 0.0714342 | − | 0.997445i | \(-0.477242\pi\) |
−0.997445 | + | 0.0714342i | \(0.977242\pi\) | |||||||
\(110\) | 163.435 | − | 43.7923i | 1.48577 | − | 0.398112i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −23.1143 | + | 23.1143i | −0.206377 | + | 0.206377i | ||||
\(113\) | 15.3509 | − | 26.5885i | 0.135849 | − | 0.235297i | −0.790073 | − | 0.613013i | \(-0.789957\pi\) |
0.925921 | + | 0.377716i | \(0.123291\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 253.827 | + | 68.0129i | 2.20720 | + | 0.591416i | ||||
\(116\) | − | 13.0314i | − | 0.112340i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −62.3998 | −0.528812 | ||||||||
\(119\) | −48.8305 | + | 182.238i | −0.410341 | + | 1.53141i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 213.555 | + | 123.296i | 1.76491 | + | 1.01897i | ||||
\(122\) | −89.6053 | − | 89.6053i | −0.734470 | − | 0.734470i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 13.0654 | + | 48.7607i | 0.105366 | + | 0.393231i | ||||
\(125\) | −48.7982 | + | 48.7982i | −0.390385 | + | 0.390385i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −137.861 | + | 79.5940i | −1.08552 | + | 0.626725i | −0.932380 | − | 0.361480i | \(-0.882272\pi\) |
−0.153139 | + | 0.988205i | \(0.548938\pi\) | |||||||
\(128\) | −10.9282 | − | 2.92820i | −0.0853766 | − | 0.0228766i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 105.056 | − | 46.1004i | 0.808125 | − | 0.354619i | ||||
\(131\) | −88.8918 | −0.678563 | −0.339282 | − | 0.940685i | \(-0.610184\pi\) | ||||
−0.339282 | + | 0.940685i | \(0.610184\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.76648 | + | 3.05963i | 0.0132818 | + | 0.0230047i | ||||
\(134\) | −48.5335 | − | 28.0209i | −0.362191 | − | 0.209111i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −63.0738 | + | 16.9006i | −0.463778 | + | 0.124269i | ||||
\(137\) | −28.4831 | − | 106.300i | −0.207906 | − | 0.775915i | −0.988544 | − | 0.150932i | \(-0.951773\pi\) |
0.780638 | − | 0.624983i | \(-0.214894\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −124.068 | + | 214.891i | −0.892573 | + | 1.54598i | −0.0557926 | + | 0.998442i | \(0.517769\pi\) |
−0.836780 | + | 0.547539i | \(0.815565\pi\) | |||||||
\(140\) | −88.3282 | + | 50.9963i | −0.630916 | + | 0.364259i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 12.5434i | 0.0883338i | ||||||||
\(143\) | 232.208 | + | 90.5683i | 1.62383 | + | 0.633345i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 10.5235 | − | 39.2743i | 0.0725759 | − | 0.270857i | ||||
\(146\) | 5.92683 | + | 10.2656i | 0.0405947 | + | 0.0703121i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.02028 | + | 2.02028i | 0.0136506 | + | 0.0136506i | ||||
\(149\) | 133.409 | − | 35.7469i | 0.895363 | − | 0.239912i | 0.218339 | − | 0.975873i | \(-0.429936\pi\) |
0.677024 | + | 0.735961i | \(0.263269\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −19.6390 | + | 19.6390i | −0.130060 | + | 0.130060i | −0.769140 | − | 0.639080i | \(-0.779315\pi\) |
0.639080 | + | 0.769140i | \(0.279315\pi\) | |||||||
\(152\) | −0.611390 | + | 1.05896i | −0.00402230 | + | 0.00696683i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −214.031 | − | 57.3494i | −1.38981 | − | 0.372399i | ||||
\(155\) | 157.507i | 1.01617i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −121.293 | −0.772569 | −0.386285 | − | 0.922380i | \(-0.626242\pi\) | ||||
−0.386285 | + | 0.922380i | \(0.626242\pi\) | |||||||
\(158\) | 42.3954 | − | 158.222i | 0.268325 | − | 1.00140i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −30.5710 | − | 17.6502i | −0.191069 | − | 0.110314i | ||||
\(161\) | −243.339 | − | 243.339i | −1.51142 | − | 1.51142i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 48.9961 | + | 182.856i | 0.300590 | + | 1.12182i | 0.936676 | + | 0.350198i | \(0.113886\pi\) |
−0.636086 | + | 0.771618i | \(0.719448\pi\) | |||||||
\(164\) | −59.1143 | + | 59.1143i | −0.360453 | + | 0.360453i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 59.2950 | − | 34.2340i | 0.357199 | − | 0.206229i | ||||
\(167\) | 54.7719 | + | 14.6761i | 0.327976 | + | 0.0878808i | 0.419050 | − | 0.907963i | \(-0.362363\pi\) |
−0.0910740 | + | 0.995844i | \(0.529030\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 164.920 | + | 36.9085i | 0.975861 | + | 0.218394i | ||||
\(170\) | −203.741 | −1.19848 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 59.0397 | + | 102.260i | 0.343254 | + | 0.594534i | ||||
\(173\) | 281.887 | + | 162.747i | 1.62940 | + | 0.940736i | 0.984271 | + | 0.176663i | \(0.0565303\pi\) |
0.645130 | + | 0.764072i | \(0.276803\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −110.046 | + | 29.4867i | −0.628833 | + | 0.168495i | ||||
\(176\) | −19.8490 | − | 74.0775i | −0.112779 | − | 0.420895i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −42.5122 | + | 73.6334i | −0.238833 | + | 0.413671i | ||||
\(179\) | 122.019 | − | 70.4476i | 0.681670 | − | 0.393562i | −0.118814 | − | 0.992917i | \(-0.537909\pi\) |
0.800484 | + | 0.599354i | \(0.204576\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 56.0814i | 0.309842i | 0.987927 | + | 0.154921i | \(0.0495123\pi\) | ||||
−0.987927 | + | 0.154921i | \(0.950488\pi\) | |||||||
\(182\) | −149.333 | − | 16.5059i | −0.820512 | − | 0.0906919i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 30.8271 | − | 115.048i | 0.167538 | − | 0.625262i | ||||
\(185\) | 4.45729 | + | 7.72026i | 0.0240935 | + | 0.0417311i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −312.988 | − | 312.988i | −1.67373 | − | 1.67373i | ||||
\(188\) | 41.1290 | − | 11.0205i | 0.218771 | − | 0.0586196i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.69778 | + | 2.69778i | −0.0141988 | + | 0.0141988i | ||||
\(191\) | −80.6165 | + | 139.632i | −0.422076 | + | 0.731057i | −0.996142 | − | 0.0877520i | \(-0.972032\pi\) |
0.574067 | + | 0.818809i | \(0.305365\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 162.089 | + | 43.4316i | 0.839838 | + | 0.225034i | 0.653001 | − | 0.757357i | \(-0.273510\pi\) |
0.186837 | + | 0.982391i | \(0.440176\pi\) | |||||||
\(194\) | 189.077i | 0.974624i | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 35.5673 | 0.181466 | ||||||||
\(197\) | −52.3324 | + | 195.307i | −0.265647 | + | 0.991407i | 0.696207 | + | 0.717841i | \(0.254870\pi\) |
−0.961853 | + | 0.273565i | \(0.911797\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 80.8275 | + | 46.6658i | 0.406168 | + | 0.234501i | 0.689142 | − | 0.724626i | \(-0.257988\pi\) |
−0.282974 | + | 0.959128i | \(0.591321\pi\) | |||||||
\(200\) | −27.8820 | − | 27.8820i | −0.139410 | − | 0.139410i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 14.0020 | + | 52.2561i | 0.0693168 | + | 0.258694i | ||||
\(203\) | −37.6513 | + | 37.6513i | −0.185475 | + | 0.185475i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −225.898 | + | 130.422i | −1.10194 | + | 0.636206i | ||||
\(206\) | 90.1341 | + | 24.1514i | 0.437544 | + | 0.117240i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −20.8952 | − | 47.6171i | −0.100458 | − | 0.228929i | ||||
\(209\) | −8.28869 | −0.0396588 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −158.226 | − | 274.055i | −0.749885 | − | 1.29884i | −0.947877 | − | 0.318635i | \(-0.896776\pi\) |
0.197993 | − | 0.980203i | \(-0.436558\pi\) | |||||||
\(212\) | 15.4290 | + | 8.90794i | 0.0727783 | + | 0.0420186i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 129.066 | − | 34.5831i | 0.603111 | − | 0.161603i | ||||
\(215\) | 95.3552 | + | 355.870i | 0.443513 | + | 1.65521i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 103.134 | − | 178.633i | 0.475271 | − | 0.823193i | ||||
\(218\) | −174.825 | + | 100.935i | −0.801949 | + | 0.463006i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | − | 239.286i | − | 1.08766i | ||||||
\(221\) | −241.857 | − | 177.710i | −1.09438 | − | 0.804116i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 17.6758 | − | 65.9671i | 0.0792638 | − | 0.295817i | −0.914902 | − | 0.403675i | \(-0.867733\pi\) |
0.994166 | + | 0.107858i | \(0.0343993\pi\) | |||||||
\(224\) | 23.1143 | + | 40.0351i | 0.103189 | + | 0.178728i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −30.7018 | − | 30.7018i | −0.135849 | − | 0.135849i | ||||
\(227\) | −24.3066 | + | 6.51292i | −0.107077 | + | 0.0286913i | −0.311960 | − | 0.950095i | \(-0.600985\pi\) |
0.204882 | + | 0.978787i | \(0.434319\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −274.910 | + | 274.910i | −1.20048 | + | 1.20048i | −0.226461 | + | 0.974020i | \(0.572716\pi\) |
−0.974020 | + | 0.226461i | \(0.927284\pi\) | |||||||
\(230\) | 185.815 | − | 321.840i | 0.807889 | − | 1.39931i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −17.8012 | − | 4.76982i | −0.0767293 | − | 0.0205596i | ||||
\(233\) | − | 401.576i | − | 1.72350i | −0.507333 | − | 0.861750i | \(-0.669369\pi\) | ||
0.507333 | − | 0.861750i | \(-0.330631\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 132.855 | 0.565341 | ||||||||
\(236\) | −22.8399 | + | 85.2397i | −0.0967793 | + | 0.361185i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 231.069 | + | 133.407i | 0.970876 | + | 0.560536i | ||||
\(239\) | −305.397 | − | 305.397i | −1.27781 | − | 1.27781i | −0.941891 | − | 0.335919i | \(-0.890953\pi\) |
−0.335919 | − | 0.941891i | \(-0.609047\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −28.8074 | − | 107.511i | −0.119533 | − | 0.446102i | 0.880053 | − | 0.474875i | \(-0.157507\pi\) |
−0.999586 | + | 0.0287729i | \(0.990840\pi\) | |||||||
\(242\) | 246.592 | − | 246.592i | 1.01897 | − | 1.01897i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −155.201 | + | 89.6053i | −0.636070 | + | 0.367235i | ||||
\(245\) | 107.193 | + | 28.7224i | 0.437524 | + | 0.117234i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.55557 | + | 0.849393i | −0.0224922 | + | 0.00343884i | ||||
\(248\) | 71.3905 | 0.287865 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 48.7982 | + | 84.5209i | 0.195193 | + | 0.338084i | ||||
\(251\) | −75.9010 | − | 43.8214i | −0.302394 | − | 0.174587i | 0.341124 | − | 0.940018i | \(-0.389192\pi\) |
−0.643518 | + | 0.765431i | \(0.722526\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 779.862 | − | 208.963i | 3.08246 | − | 0.825942i | ||||
\(254\) | 58.2669 | + | 217.455i | 0.229397 | + | 0.856122i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 151.909 | − | 87.7045i | 0.591084 | − | 0.341263i | −0.174442 | − | 0.984667i | \(-0.555812\pi\) |
0.765526 | + | 0.643405i | \(0.222479\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | − | 11.6743i | − | 0.0450747i | ||||||
\(260\) | −24.5211 | − | 160.383i | −0.0943118 | − | 0.616859i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −32.5366 | + | 121.428i | −0.124186 | + | 0.463467i | ||||
\(263\) | −63.6818 | − | 110.300i | −0.242136 | − | 0.419392i | 0.719186 | − | 0.694817i | \(-0.244515\pi\) |
−0.961323 | + | 0.275425i | \(0.911181\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 39.3066 | + | 39.3066i | 0.148327 | + | 0.148327i | ||||
\(266\) | 4.82611 | − | 1.29315i | 0.0181433 | − | 0.00486147i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −56.0417 | + | 56.0417i | −0.209111 | + | 0.209111i | ||||
\(269\) | −104.127 | + | 180.352i | −0.387087 | + | 0.670455i | −0.992056 | − | 0.125794i | \(-0.959852\pi\) |
0.604969 | + | 0.796249i | \(0.293186\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.66031 | + | 0.980776i | 0.0135067 | + | 0.00361910i | 0.265566 | − | 0.964093i | \(-0.414441\pi\) |
−0.252059 | + | 0.967712i | \(0.581108\pi\) | |||||||
\(272\) | 92.3464i | 0.339509i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −155.634 | −0.568009 | ||||||||
\(275\) | 69.1789 | − | 258.179i | 0.251560 | − | 0.938833i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 59.5357 | + | 34.3730i | 0.214930 | + | 0.124090i | 0.603601 | − | 0.797287i | \(-0.293732\pi\) |
−0.388670 | + | 0.921377i | \(0.627065\pi\) | |||||||
\(278\) | 248.135 | + | 248.135i | 0.892573 | + | 0.892573i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 37.3319 | + | 139.324i | 0.133328 | + | 0.497587i | ||||
\(281\) | 19.5583 | − | 19.5583i | 0.0696025 | − | 0.0696025i | −0.671449 | − | 0.741051i | \(-0.734328\pi\) |
0.741051 | + | 0.671449i | \(0.234328\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −109.532 | + | 63.2384i | −0.387039 | + | 0.223457i | −0.680876 | − | 0.732398i | \(-0.738401\pi\) |
0.293837 | + | 0.955855i | \(0.405068\pi\) | |||||||
\(284\) | 17.1346 | + | 4.59120i | 0.0603331 | + | 0.0161662i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 208.712 | − | 284.051i | 0.729764 | − | 0.993186i | ||||
\(287\) | 341.596 | 1.19023 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 121.996 | + | 211.303i | 0.422131 | + | 0.731152i | ||||
\(290\) | −49.7978 | − | 28.7507i | −0.171716 | − | 0.0991405i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 16.1924 | − | 4.33874i | 0.0554534 | − | 0.0148587i | ||||
\(293\) | −96.4402 | − | 359.920i | −0.329148 | − | 1.22840i | −0.910076 | − | 0.414441i | \(-0.863977\pi\) |
0.580929 | − | 0.813954i | \(-0.302689\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −137.671 | + | 238.453i | −0.466681 | + | 0.808315i | ||||
\(296\) | 3.49923 | − | 2.02028i | 0.0118217 | − | 0.00682528i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | − | 195.325i | − | 0.655452i | ||||||
\(299\) | 501.296 | − | 219.977i | 1.67658 | − | 0.735709i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 124.875 | − | 466.040i | 0.414867 | − | 1.54831i | ||||
\(302\) | 19.6390 | + | 34.0158i | 0.0650299 | + | 0.112635i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.22278 | + | 1.22278i | 0.00402230 | + | 0.00402230i | ||||
\(305\) | −540.109 | + | 144.722i | −1.77085 | + | 0.474498i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 259.830 | − | 259.830i | 0.846352 | − | 0.846352i | −0.143324 | − | 0.989676i | \(-0.545779\pi\) |
0.989676 | + | 0.143324i | \(0.0457792\pi\) | |||||||
\(308\) | −156.682 | + | 271.380i | −0.508706 | + | 0.881105i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 215.158 | + | 57.6515i | 0.694059 | + | 0.185973i | ||||
\(311\) | 356.838i | 1.14739i | 0.819069 | + | 0.573695i | \(0.194491\pi\) | ||||
−0.819069 | + | 0.573695i | \(0.805509\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −19.6152 | −0.0626683 | −0.0313342 | − | 0.999509i | \(-0.509976\pi\) | ||||
−0.0313342 | + | 0.999509i | \(0.509976\pi\) | |||||||
\(314\) | −44.3965 | + | 165.690i | −0.141390 | + | 0.527675i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −200.617 | − | 115.826i | −0.634865 | − | 0.366539i | ||||
\(317\) | 139.801 | + | 139.801i | 0.441011 | + | 0.441011i | 0.892352 | − | 0.451341i | \(-0.149054\pi\) |
−0.451341 | + | 0.892352i | \(0.649054\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −32.3325 | − | 120.667i | −0.101356 | − | 0.378265i | ||||
\(320\) | −35.3003 | + | 35.3003i | −0.110314 | + | 0.110314i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −421.475 | + | 243.339i | −1.30893 | + | 0.755710i | ||||
\(323\) | 9.64066 | + | 2.58321i | 0.0298473 | + | 0.00799755i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 19.9106 | − | 180.136i | 0.0612634 | − | 0.554265i | ||||
\(326\) | 267.720 | 0.821226 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 59.1143 | + | 102.389i | 0.180227 | + | 0.312162i | ||||
\(329\) | −150.675 | − | 86.9920i | −0.457978 | − | 0.264413i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 265.737 | − | 71.2040i | 0.802830 | − | 0.215118i | 0.166004 | − | 0.986125i | \(-0.446914\pi\) |
0.636826 | + | 0.771007i | \(0.280247\pi\) | |||||||
\(332\) | −25.0610 | − | 93.5290i | −0.0754850 | − | 0.281714i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 40.0958 | − | 69.4480i | 0.120047 | − | 0.207928i | ||||
\(335\) | −214.156 | + | 123.643i | −0.639272 | + | 0.369084i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 625.952i | − | 1.85743i | −0.370800 | − | 0.928713i | \(-0.620916\pi\) | ||
0.370800 | − | 0.928713i | \(-0.379084\pi\) | |||||||
\(338\) | 110.783 | − | 211.776i | 0.327760 | − | 0.626557i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −74.5745 | + | 278.316i | −0.219337 | + | 0.818575i | ||||
\(341\) | 241.963 | + | 419.092i | 0.709568 | + | 1.22901i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 180.386 | + | 180.386i | 0.525906 | + | 0.525906i | ||||
\(344\) | 161.300 | − | 43.2201i | 0.468894 | − | 0.125640i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 325.495 | − | 325.495i | 0.940736 | − | 0.940736i | ||||
\(347\) | −52.8438 | + | 91.5282i | −0.152288 | + | 0.263770i | −0.932068 | − | 0.362283i | \(-0.881997\pi\) |
0.779780 | + | 0.626053i | \(0.215331\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −418.494 | − | 112.135i | −1.19912 | − | 0.321304i | −0.396637 | − | 0.917976i | \(-0.629823\pi\) |
−0.802485 | + | 0.596672i | \(0.796489\pi\) | |||||||
\(350\) | 161.118i | 0.460338i | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −108.457 | −0.308117 | ||||||||
\(353\) | 152.231 | − | 568.133i | 0.431248 | − | 1.60944i | −0.318639 | − | 0.947876i | \(-0.603226\pi\) |
0.749888 | − | 0.661565i | \(-0.230108\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 47.9330 | + | 27.6741i | 0.135023 | + | 0.0779553i | ||||
\(356\) | 85.0245 | + | 85.0245i | 0.238833 | + | 0.238833i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −51.5712 | − | 192.466i | −0.144054 | − | 0.537616i | ||||
\(359\) | −172.896 | + | 172.896i | −0.481604 | + | 0.481604i | −0.905644 | − | 0.424040i | \(-0.860612\pi\) |
0.424040 | + | 0.905644i | \(0.360612\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −312.473 | + | 180.407i | −0.865577 | + | 0.499741i | ||||
\(362\) | 76.6086 | + | 20.5272i | 0.211626 | + | 0.0567050i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −77.2073 | + | 197.951i | −0.212108 | + | 0.543823i | ||||
\(365\) | 52.3048 | 0.143301 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 172.613 | + | 298.974i | 0.470335 | + | 0.814644i | 0.999424 | − | 0.0339223i | \(-0.0107999\pi\) |
−0.529090 | + | 0.848566i | \(0.677467\pi\) | |||||||
\(368\) | −145.875 | − | 84.2211i | −0.396400 | − | 0.228862i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 12.1775 | − | 3.26296i | 0.0329123 | − | 0.00881882i | ||||
\(371\) | −18.8412 | − | 70.3163i | −0.0507849 | − | 0.189532i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −223.291 | + | 386.751i | −0.598635 | + | 1.03687i | 0.394388 | + | 0.918944i | \(0.370957\pi\) |
−0.993023 | + | 0.117922i | \(0.962377\pi\) | |||||||
\(374\) | −542.111 | + | 312.988i | −1.44950 | + | 0.836867i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | − | 60.2170i | − | 0.160152i | ||||||
\(377\) | −34.0366 | − | 77.5646i | −0.0902828 | − | 0.205742i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 58.0212 | − | 216.538i | 0.153090 | − | 0.571340i | −0.846171 | − | 0.532911i | \(-0.821098\pi\) |
0.999261 | − | 0.0384290i | \(-0.0122353\pi\) | |||||||
\(380\) | 2.69778 | + | 4.67269i | 0.00709942 | + | 0.0122966i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 161.233 | + | 161.233i | 0.422076 | + | 0.422076i | ||||
\(383\) | −275.080 | + | 73.7074i | −0.718224 | + | 0.192448i | −0.599379 | − | 0.800465i | \(-0.704586\pi\) |
−0.118845 | + | 0.992913i | \(0.537919\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −691.364 | + | 691.364i | −1.79575 | + | 1.79575i | ||||
\(386\) | 118.657 | − | 205.520i | 0.307402 | − | 0.532436i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 258.284 | + | 69.2070i | 0.665681 | + | 0.178369i | ||||
\(389\) | 55.5965i | 0.142922i | 0.997443 | + | 0.0714608i | \(0.0227661\pi\) | ||||
−0.997443 | + | 0.0714608i | \(0.977234\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −972.190 | −2.48642 | ||||||||
\(392\) | 13.0185 | − | 48.5858i | 0.0332105 | − | 0.123943i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 247.640 | + | 142.975i | 0.628527 | + | 0.362880i | ||||
\(395\) | −511.089 | − | 511.089i | −1.29390 | − | 1.29390i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −60.5246 | − | 225.881i | −0.152455 | − | 0.568969i | −0.999310 | − | 0.0371454i | \(-0.988174\pi\) |
0.846855 | − | 0.531824i | \(-0.178493\pi\) | |||||||
\(398\) | 93.3316 | − | 93.3316i | 0.234501 | − | 0.234501i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −48.2931 | + | 27.8820i | −0.120733 | + | 0.0697051i | ||||
\(401\) | 139.942 | + | 37.4974i | 0.348983 | + | 0.0935096i | 0.429052 | − | 0.903280i | \(-0.358848\pi\) |
−0.0800696 | + | 0.996789i | \(0.525514\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 205.125 | + | 256.105i | 0.508995 | + | 0.635496i | ||||
\(404\) | 76.5083 | 0.189377 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 37.6513 | + | 65.2140i | 0.0927373 | + | 0.160626i | ||||
\(407\) | 23.7198 | + | 13.6946i | 0.0582796 | + | 0.0336477i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −666.035 | + | 178.463i | −1.62845 | + | 0.436341i | −0.953468 | − | 0.301496i | \(-0.902514\pi\) |
−0.674979 | + | 0.737837i | \(0.735847\pi\) | |||||||
\(410\) | 95.4756 | + | 356.320i | 0.232867 | + | 0.869073i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 65.9827 | − | 114.285i | 0.160152 | − | 0.277392i | ||||
\(413\) | 312.273 | − | 180.291i | 0.756108 | − | 0.436539i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 302.118i | − | 0.727994i | ||||||
\(416\) | −72.6944 | + | 11.1143i | −0.174746 | + | 0.0267170i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −3.03387 | + | 11.3226i | −0.00725806 | + | 0.0270875i | ||||
\(419\) | −35.3241 | − | 61.1831i | −0.0843056 | − | 0.146022i | 0.820789 | − | 0.571231i | \(-0.193534\pi\) |
−0.905095 | + | 0.425209i | \(0.860201\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −269.923 | − | 269.923i | −0.641148 | − | 0.641148i | 0.309690 | − | 0.950838i | \(-0.399775\pi\) |
−0.950838 | + | 0.309690i | \(0.899775\pi\) | |||||||
\(422\) | −432.281 | + | 115.829i | −1.02436 | + | 0.274477i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 17.8159 | − | 17.8159i | 0.0420186 | − | 0.0420186i | ||||
\(425\) | −160.925 | + | 278.731i | −0.378648 | + | 0.655838i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 707.315 | + | 189.524i | 1.65647 | + | 0.443851i | ||||
\(428\) | − | 188.965i | − | 0.441508i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 521.030 | 1.21170 | ||||||||
\(431\) | 167.809 | − | 626.272i | 0.389348 | − | 1.45307i | −0.441848 | − | 0.897090i | \(-0.645677\pi\) |
0.831197 | − | 0.555978i | \(-0.187656\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 330.115 | + | 190.592i | 0.762391 | + | 0.440166i | 0.830153 | − | 0.557535i | \(-0.188253\pi\) |
−0.0677628 | + | 0.997701i | \(0.521586\pi\) | |||||||
\(434\) | −206.267 | − | 206.267i | −0.475271 | − | 0.475271i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 73.8897 | + | 275.760i | 0.169472 | + | 0.632477i | ||||
\(437\) | −12.8730 | + | 12.8730i | −0.0294576 | + | 0.0294576i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 96.4945 | − | 55.7111i | 0.219805 | − | 0.126905i | −0.386055 | − | 0.922476i | \(-0.626162\pi\) |
0.605860 | + | 0.795571i | \(0.292829\pi\) | |||||||
\(440\) | −326.870 | − | 87.5846i | −0.742887 | − | 0.199056i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −331.282 | + | 265.337i | −0.749506 | + | 0.600310i | ||||
\(443\) | −480.157 | −1.08388 | −0.541938 | − | 0.840418i | \(-0.682309\pi\) | ||||
−0.541938 | + | 0.840418i | \(0.682309\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 187.587 | + | 324.910i | 0.421544 | + | 0.730135i | ||||
\(446\) | −83.6430 | − | 48.2913i | −0.187540 | − | 0.108276i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 63.1493 | − | 16.9208i | 0.140958 | − | 0.0377697i | ||||
\(449\) | 105.379 | + | 393.279i | 0.234697 | + | 0.875900i | 0.978285 | + | 0.207263i | \(0.0664555\pi\) |
−0.743589 | + | 0.668637i | \(0.766878\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −400.710 | + | 694.051i | −0.888493 | + | 1.53891i | ||||
\(452\) | −53.1771 | + | 30.7018i | −0.117648 | + | 0.0679243i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 35.5873i | 0.0783861i | ||||||||
\(455\) | −392.545 | + | 534.241i | −0.862736 | + | 1.17416i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.25408 | + | 19.6085i | −0.0114969 | + | 0.0429069i | −0.971436 | − | 0.237302i | \(-0.923737\pi\) |
0.959939 | + | 0.280209i | \(0.0904037\pi\) | |||||||
\(458\) | 274.910 | + | 476.159i | 0.600241 | + | 1.03965i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −371.629 | − | 371.629i | −0.807889 | − | 0.807889i | ||||
\(461\) | −457.719 | + | 122.645i | −0.992882 | + | 0.266042i | −0.718461 | − | 0.695568i | \(-0.755153\pi\) |
−0.274421 | + | 0.961610i | \(0.588486\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 266.154 | − | 266.154i | 0.574846 | − | 0.574846i | −0.358633 | − | 0.933479i | \(-0.616757\pi\) |
0.933479 | + | 0.358633i | \(0.116757\pi\) | |||||||
\(464\) | −13.0314 | + | 22.5710i | −0.0280849 | + | 0.0486444i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −548.562 | − | 146.987i | −1.17717 | − | 0.315422i | ||||
\(467\) | − | 231.396i | − | 0.495494i | −0.968825 | − | 0.247747i | \(-0.920310\pi\) | ||
0.968825 | − | 0.247747i | \(-0.0796901\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 323.841 | 0.690492 | ||||||||
\(470\) | 48.6283 | − | 181.483i | 0.103465 | − | 0.386135i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 108.080 | + | 62.3998i | 0.228982 | + | 0.132203i | ||||
\(473\) | 800.410 | + | 800.410i | 1.69220 | + | 1.69220i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.55989 | + | 5.82159i | 0.00328398 | + | 0.0122560i | ||||
\(476\) | 266.815 | − | 266.815i | 0.560536 | − | 0.560536i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −528.962 | + | 305.397i | −1.10662 | + | 0.638905i | ||||
\(479\) | 81.0183 | + | 21.7088i | 0.169140 | + | 0.0453210i | 0.342395 | − | 0.939556i | \(-0.388762\pi\) |
−0.173255 | + | 0.984877i | \(0.555428\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 17.3018 | + | 6.74824i | 0.0359705 | + | 0.0140296i | ||||
\(482\) | −157.406 | −0.326569 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −246.592 | − | 427.109i | −0.509487 | − | 0.882457i | ||||
\(485\) | 722.534 | + | 417.155i | 1.48976 | + | 0.860114i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −51.6346 | + | 13.8354i | −0.106026 | + | 0.0284095i | −0.311442 | − | 0.950265i | \(-0.600812\pi\) |
0.205416 | + | 0.978675i | \(0.434145\pi\) | |||||||
\(488\) | 65.5957 | + | 244.806i | 0.134417 | + | 0.501652i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 78.4710 | − | 135.916i | 0.160145 | − | 0.277379i | ||||
\(491\) | 755.689 | − | 436.297i | 1.53908 | − | 0.888589i | 0.540188 | − | 0.841544i | \(-0.318353\pi\) |
0.998893 | − | 0.0470443i | \(-0.0149802\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 150.425i | 0.305122i | ||||||||
\(494\) | −0.873189 | + | 7.89995i | −0.00176759 | + | 0.0159918i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 26.1308 | − | 97.5213i | 0.0526830 | − | 0.196616i | ||||
\(497\) | −36.2414 | − | 62.7720i | −0.0729204 | − | 0.126302i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 178.607 | + | 178.607i | 0.357929 | + | 0.357929i | 0.863049 | − | 0.505120i | \(-0.168552\pi\) |
−0.505120 | + | 0.863049i | \(0.668552\pi\) | |||||||
\(500\) | 133.319 | − | 35.7228i | 0.266638 | − | 0.0714455i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −87.6429 | + | 87.6429i | −0.174587 | + | 0.174587i | ||||
\(503\) | −290.935 | + | 503.915i | −0.578401 | + | 1.00182i | 0.417262 | + | 0.908786i | \(0.362990\pi\) |
−0.995663 | + | 0.0930331i | \(0.970344\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 230.582 | + | 61.7843i | 0.456599 | + | 0.122345i | ||||
\(506\) | − | 1141.80i | − | 2.25652i | ||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 318.376 | 0.626725 | ||||||||
\(509\) | 80.3135 | − | 299.734i | 0.157787 | − | 0.588868i | −0.841064 | − | 0.540936i | \(-0.818070\pi\) |
0.998851 | − | 0.0479323i | \(-0.0152632\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −59.3203 | − | 34.2486i | −0.116087 | − | 0.0670227i | ||||
\(512\) | 16.0000 | + | 16.0000i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −64.2041 | − | 239.613i | −0.124911 | − | 0.466173i | ||||
\(515\) | 291.151 | − | 291.151i | 0.565343 | − | 0.565343i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 353.499 | − | 204.093i | 0.683750 | − | 0.394763i | ||||
\(518\) | −15.9474 | − | 4.27311i | −0.0307866 | − | 0.00824924i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −228.063 | − | 25.2080i | −0.438583 | − | 0.0484770i | ||||
\(521\) | −400.878 | −0.769440 | −0.384720 | − | 0.923033i | \(-0.625702\pi\) | ||||
−0.384720 | + | 0.923033i | \(0.625702\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −255.340 | − | 442.262i | −0.488222 | − | 0.845626i | 0.511686 | − | 0.859173i | \(-0.329021\pi\) |
−0.999908 | + | 0.0135467i | \(0.995688\pi\) | |||||||
\(524\) | 153.965 | + | 88.8918i | 0.293826 | + | 0.169641i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −173.982 | + | 46.6183i | −0.330764 | + | 0.0886279i | ||||
\(527\) | −150.818 | − | 562.859i | −0.286181 | − | 1.06804i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 622.150 | − | 1077.60i | 1.17609 | − | 2.03704i | ||||
\(530\) | 68.0811 | − | 39.3066i | 0.128455 | − | 0.0741635i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | − | 7.06591i | − | 0.0132818i | ||||||
\(533\) | −197.456 | + | 506.257i | −0.370462 | + | 0.949826i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 152.599 | − | 569.508i | 0.285232 | − | 1.06450i | ||||
\(536\) | 56.0417 | + | 97.0671i | 0.104555 | + | 0.181095i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 208.253 | + | 208.253i | 0.387087 | + | 0.387087i | ||||
\(539\) | 329.342 | − | 88.2469i | 0.611024 | − | 0.163723i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 75.0411 | − | 75.0411i | 0.138708 | − | 0.138708i | −0.634343 | − | 0.773051i | \(-0.718729\pi\) |
0.773051 | + | 0.634343i | \(0.218729\pi\) | |||||||
\(542\) | 2.67953 | − | 4.64108i | 0.00494378 | − | 0.00856288i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 126.148 | + | 33.8011i | 0.231889 | + | 0.0621345i | ||||
\(545\) | 890.761i | 1.63442i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −328.719 | −0.600950 | −0.300475 | − | 0.953790i | \(-0.597145\pi\) | ||||
−0.300475 | + | 0.953790i | \(0.597145\pi\) | |||||||
\(548\) | −56.9662 | + | 212.601i | −0.103953 | + | 0.387957i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −327.358 | − | 189.000i | −0.595196 | − | 0.343637i | ||||
\(551\) | 1.99181 | + | 1.99181i | 0.00361491 | + | 0.00361491i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 244.985 | + | 914.295i | 0.443010 | + | 1.65334i | ||||
\(554\) | 68.7460 | − | 68.7460i | 0.124090 | − | 0.124090i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 429.783 | − | 248.135i | 0.772991 | − | 0.446286i | ||||
\(557\) | 331.165 | + | 88.7354i | 0.594551 | + | 0.159309i | 0.543532 | − | 0.839388i | \(-0.317087\pi\) |
0.0510186 | + | 0.998698i | \(0.483753\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 618.505 | + | 454.459i | 1.10645 | + | 0.812986i | ||||
\(560\) | 203.985 | 0.364259 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −19.5583 | − | 33.8760i | −0.0348013 | − | 0.0602776i | ||||
\(563\) | 314.882 | + | 181.797i | 0.559293 | + | 0.322908i | 0.752862 | − | 0.658179i | \(-0.228673\pi\) |
−0.193569 | + | 0.981087i | \(0.562006\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −185.059 | + | 49.5865i | −0.327539 | + | 0.0877637i | ||||
\(566\) | 46.2937 | + | 172.770i | 0.0817910 | + | 0.305248i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 12.5434 | − | 21.7258i | 0.0220835 | − | 0.0382497i | ||||
\(569\) | −548.662 | + | 316.770i | −0.964256 | + | 0.556714i | −0.897480 | − | 0.441054i | \(-0.854605\pi\) |
−0.0667758 | + | 0.997768i | \(0.521271\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 54.2364i | − | 0.0949849i | −0.998872 | − | 0.0474925i | \(-0.984877\pi\) | ||
0.998872 | − | 0.0474925i | \(-0.0151230\pi\) | |||||||
\(572\) | −311.627 | − | 389.076i | −0.544803 | − | 0.680204i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 125.033 | − | 466.629i | 0.217827 | − | 0.812942i | ||||
\(575\) | −293.532 | − | 508.413i | −0.510491 | − | 0.884196i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −704.420 | − | 704.420i | −1.22083 | − | 1.22083i | −0.967337 | − | 0.253495i | \(-0.918420\pi\) |
−0.253495 | − | 0.967337i | \(-0.581580\pi\) | |||||||
\(578\) | 333.299 | − | 89.3071i | 0.576641 | − | 0.154511i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −57.5015 | + | 57.5015i | −0.0991405 | + | 0.0991405i | ||||
\(581\) | −197.823 | + | 342.640i | −0.340488 | + | 0.589742i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 164.970 | + | 44.2035i | 0.282967 | + | 0.0758207i | ||||
\(584\) | − | 23.7073i | − | 0.0405947i | ||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −526.959 | −0.899248 | ||||||||
\(587\) | −243.773 | + | 909.773i | −0.415286 | + | 1.54987i | 0.368975 | + | 0.929439i | \(0.379709\pi\) |
−0.784262 | + | 0.620430i | \(0.786958\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −9.44995 | − | 5.45593i | −0.0160441 | − | 0.00926304i | ||||
\(590\) | 275.342 | + | 275.342i | 0.466681 | + | 0.466681i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.47895 | − | 5.51952i | −0.00249823 | − | 0.00932351i | ||||
\(593\) | 457.589 | − | 457.589i | 0.771650 | − | 0.771650i | −0.206745 | − | 0.978395i | \(-0.566287\pi\) |
0.978395 | + | 0.206745i | \(0.0662870\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1019.60 | − | 588.666i | 1.71361 | − | 0.989354i | ||||
\(596\) | −266.818 | − | 71.4937i | −0.447682 | − | 0.119956i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −117.007 | − | 765.300i | −0.195664 | − | 1.27977i | ||||
\(599\) | 78.9882 | 0.131867 | 0.0659334 | − | 0.997824i | \(-0.478998\pi\) | ||||
0.0659334 | + | 0.997824i | \(0.478998\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 182.344 | + | 315.829i | 0.303401 | + | 0.525506i | 0.976904 | − | 0.213678i | \(-0.0685445\pi\) |
−0.673503 | + | 0.739185i | \(0.735211\pi\) | |||||||
\(602\) | −590.915 | − | 341.165i | −0.981587 | − | 0.566719i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 53.6549 | − | 14.3768i | 0.0888325 | − | 0.0238026i | ||||
\(605\) | −398.271 | − | 1486.37i | −0.658298 | − | 2.45680i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −295.511 | + | 511.839i | −0.486838 | + | 0.843228i | −0.999886 | − | 0.0151322i | \(-0.995183\pi\) |
0.513048 | + | 0.858360i | \(0.328516\pi\) | |||||||
\(608\) | 2.11792 | − | 1.22278i | 0.00348341 | − | 0.00201115i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 790.774i | 1.29635i | ||||||||
\(611\) | 216.021 | − | 173.020i | 0.353554 | − | 0.283175i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −112.817 | + | 421.040i | −0.184041 | + | 0.686852i | 0.810792 | + | 0.585334i | \(0.199037\pi\) |
−0.994834 | + | 0.101518i | \(0.967630\pi\) | |||||||
\(614\) | −259.830 | − | 450.039i | −0.423176 | − | 0.732962i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 313.363 | + | 313.363i | 0.508706 | + | 0.508706i | ||||
\(617\) | 288.834 | − | 77.3930i | 0.468127 | − | 0.125434i | −0.0170417 | − | 0.999855i | \(-0.505425\pi\) |
0.485169 | + | 0.874420i | \(0.338758\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 84.5481 | − | 84.5481i | 0.136588 | − | 0.136588i | −0.635507 | − | 0.772095i | \(-0.719209\pi\) |
0.772095 | + | 0.635507i | \(0.219209\pi\) | |||||||
\(620\) | 157.507 | − | 272.810i | 0.254043 | − | 0.440016i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 487.450 | + | 130.612i | 0.783682 | + | 0.209987i | ||||
\(623\) | − | 491.319i | − | 0.788635i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 779.173 | 1.24668 | ||||||||
\(626\) | −7.17966 | + | 26.7948i | −0.0114691 | + | 0.0428033i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 210.086 | + | 121.293i | 0.334532 | + | 0.193142i | ||||
\(629\) | −23.3208 | − | 23.3208i | −0.0370759 | − | 0.0370759i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −195.299 | − | 728.867i | −0.309508 | − | 1.15510i | −0.928995 | − | 0.370092i | \(-0.879326\pi\) |
0.619488 | − | 0.785006i | \(-0.287340\pi\) | |||||||
\(632\) | −231.653 | + | 231.653i | −0.366539 | + | 0.366539i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 242.142 | − | 139.801i | 0.381927 | − | 0.220506i | ||||
\(635\) | 959.529 | + | 257.105i | 1.51107 | + | 0.404890i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 211.702 | − | 92.8981i | 0.332341 | − | 0.145837i | ||||
\(638\) | −176.668 | −0.276909 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 35.3003 | + | 61.1420i | 0.0551568 | + | 0.0955343i | ||||
\(641\) | −326.603 | − | 188.565i | −0.509522 | − | 0.294172i | 0.223115 | − | 0.974792i | \(-0.428377\pi\) |
−0.732637 | + | 0.680620i | \(0.761711\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1166.74 | + | 312.627i | −1.81452 | + | 0.486200i | −0.996086 | − | 0.0883945i | \(-0.971826\pi\) |
−0.818438 | + | 0.574595i | \(0.805160\pi\) | |||||||
\(644\) | 178.136 | + | 664.814i | 0.276609 | + | 1.03232i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 7.05746 | − | 12.2239i | 0.0109249 | − | 0.0189224i | ||||
\(647\) | −219.028 | + | 126.456i | −0.338529 | + | 0.195450i | −0.659621 | − | 0.751598i | \(-0.729283\pi\) |
0.321093 | + | 0.947048i | \(0.395950\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 845.962i | 1.30349i | ||||||||
\(650\) | −238.783 | − | 93.1328i | −0.367358 | − | 0.143281i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 97.9922 | − | 365.712i | 0.150295 | − | 0.560908i | ||||
\(653\) | 216.293 | + | 374.631i | 0.331230 | + | 0.573707i | 0.982753 | − | 0.184921i | \(-0.0592031\pi\) |
−0.651523 | + | 0.758629i | \(0.725870\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 392.239 | + | 392.239i | 0.598837 | + | 0.598837i | ||||
\(656\) | 161.503 | − | 43.2747i | 0.246194 | − | 0.0659675i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −173.984 | + | 173.984i | −0.264413 | + | 0.264413i | ||||
\(659\) | 604.428 | − | 1046.90i | 0.917190 | − | 1.58862i | 0.113527 | − | 0.993535i | \(-0.463785\pi\) |
0.803663 | − | 0.595085i | \(-0.202882\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1018.51 | − | 272.908i | −1.54086 | − | 0.412872i | −0.614316 | − | 0.789060i | \(-0.710568\pi\) |
−0.926543 | + | 0.376188i | \(0.877235\pi\) | |||||||
\(662\) | − | 389.066i | − | 0.587713i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −136.936 | −0.206229 | ||||||||
\(665\) | 5.70608 | − | 21.2954i | 0.00858057 | − | 0.0320231i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −237.620 | − | 137.190i | −0.356251 | − | 0.205682i | ||||
\(668\) | −80.1917 | − | 80.1917i | −0.120047 | − | 0.120047i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 90.5131 | + | 337.799i | 0.135094 | + | 0.504178i | ||||
\(671\) | −1214.79 | + | 1214.79i | −1.81042 | + | 1.81042i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 688.514 | − | 397.514i | 1.02305 | − | 0.590659i | 0.108065 | − | 0.994144i | \(-0.465534\pi\) |
0.914986 | + | 0.403484i | \(0.132201\pi\) | |||||||
\(674\) | −855.067 | − | 229.114i | −1.26865 | − | 0.339932i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −248.742 | − | 228.848i | −0.367962 | − | 0.338532i | ||||
\(677\) | −642.236 | −0.948649 | −0.474325 | − | 0.880350i | \(-0.657308\pi\) | ||||
−0.474325 | + | 0.880350i | \(0.657308\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −546.297 | − | 946.214i | −0.804561 | − | 1.39354i | ||||
\(680\) | 352.890 | + | 203.741i | 0.518956 | + | 0.299619i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 661.055 | − | 177.129i | 0.969288 | − | 0.259720i | ||||
\(683\) | −168.964 | − | 630.582i | −0.247385 | − | 0.923253i | −0.972170 | − | 0.234277i | \(-0.924728\pi\) |
0.724785 | − | 0.688975i | \(-0.241939\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −343.372 | + | 594.737i | −0.501272 | + | 0.868229i | ||||
\(686\) | 312.437 | − | 180.386i | 0.455448 | − | 0.262953i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | − | 236.159i | − | 0.343254i | ||||||
\(689\) | 115.102 | + | 12.7223i | 0.167057 | + | 0.0184649i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −199.113 | + | 743.100i | −0.288152 | + | 1.07540i | 0.658353 | + | 0.752709i | \(0.271253\pi\) |
−0.946505 | + | 0.322689i | \(0.895413\pi\) | |||||||
\(692\) | −325.495 | − | 563.773i | −0.470368 | − | 0.814701i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 105.688 | + | 105.688i | 0.152288 | + | 0.152288i | ||||
\(695\) | 1495.67 | − | 400.764i | 2.15204 | − | 0.576638i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 682.375 | − | 682.375i | 0.979017 | − | 0.979017i | ||||
\(698\) | −306.359 | + | 530.629i | −0.438909 | + | 0.760213i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 220.092 | + | 58.9734i | 0.314417 | + | 0.0842477i | ||||
\(701\) | − | 415.401i | − | 0.592584i | −0.955097 | − | 0.296292i | \(-0.904250\pi\) | ||
0.955097 | − | 0.296292i | \(-0.0957502\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.617590 | −0.000878507 | ||||||||
\(704\) | −39.6980 | + | 148.155i | −0.0563893 | + | 0.210448i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −720.363 | − | 415.902i | −1.02034 | − | 0.589096i | ||||
\(707\) | −221.054 | − | 221.054i | −0.312665 | − | 0.312665i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 81.1586 | + | 302.888i | 0.114469 | + | 0.427204i | 0.999247 | − | 0.0388092i | \(-0.0123565\pi\) |
−0.884778 | + | 0.466014i | \(0.845690\pi\) | |||||||
\(710\) | 55.3483 | − | 55.3483i | 0.0779553 | − | 0.0779553i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 147.267 | − | 85.0245i | 0.206835 | − | 0.119416i | ||||
\(713\) | 1026.67 | + | 275.095i | 1.43993 | + | 0.385828i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −624.989 | − | 1424.26i | −0.874111 | − | 1.99197i | ||||
\(716\) | −281.790 | −0.393562 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 172.896 | + | 299.464i | 0.240802 | + | 0.417081i | ||||
\(719\) | −205.104 | − | 118.417i | −0.285263 | − | 0.164697i | 0.350541 | − | 0.936547i | \(-0.385998\pi\) |
−0.635804 | + | 0.771851i | \(0.719331\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −520.846 | + | 139.560i | −0.722393 | + | 0.193565i | ||||
\(722\) | 132.067 | + | 492.880i | 0.182918 | + | 0.682659i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 56.0814 | − | 97.1359i | 0.0774605 | − | 0.134166i | ||||
\(725\) | −78.6658 | + | 45.4177i | −0.108504 | + | 0.0626451i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 919.030i | − | 1.26414i | −0.774911 | − | 0.632070i | \(-0.782206\pi\) | ||
0.774911 | − | 0.632070i | \(-0.217794\pi\) | |||||||
\(728\) | 242.147 | + | 177.922i | 0.332619 | + | 0.244399i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 19.1449 | − | 71.4496i | 0.0262258 | − | 0.0978762i | ||||
\(731\) | −681.514 | − | 1180.42i | −0.932303 | − | 1.61480i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 709.566 | + | 709.566i | 0.968030 | + | 0.968030i | 0.999505 | − | 0.0314750i | \(-0.0100205\pi\) |
−0.0314750 | + | 0.999505i | \(0.510020\pi\) | |||||||
\(734\) | 471.587 | − | 126.361i | 0.642489 | − | 0.172154i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −168.442 | + | 168.442i | −0.228862 | + | 0.228862i | ||||
\(737\) | −379.882 | + | 657.976i | −0.515444 | + | 0.892776i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 118.782 | + | 31.8276i | 0.160734 | + | 0.0430685i | 0.338289 | − | 0.941042i | \(-0.390152\pi\) |
−0.177555 | + | 0.984111i | \(0.556819\pi\) | |||||||
\(740\) | − | 17.8292i | − | 0.0240935i | ||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −102.950 | −0.138747 | ||||||||
\(743\) | −344.461 | + | 1285.55i | −0.463609 | + | 1.73021i | 0.197852 | + | 0.980232i | \(0.436604\pi\) |
−0.661461 | + | 0.749980i | \(0.730063\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −746.408 | − | 430.939i | −1.00189 | − | 0.578441i | ||||
\(746\) | 446.582 | + | 446.582i | 0.598635 | + | 0.598635i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 229.123 | + | 855.100i | 0.306315 | + | 1.14318i | ||||
\(749\) | −545.974 | + | 545.974i | −0.728938 | + | 0.728938i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1177.85 | + | 680.031i | −1.56837 | + | 0.905501i | −0.572014 | + | 0.820244i | \(0.693838\pi\) |
−0.996359 | + | 0.0852568i | \(0.972829\pi\) | |||||||
\(752\) | −82.2580 | − | 22.0410i | −0.109386 | − | 0.0293098i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −118.414 | + | 18.1043i | −0.157047 | + | 0.0240110i | ||||
\(755\) | 173.316 | 0.229558 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 541.869 | + | 938.545i | 0.715812 | + | 1.23982i | 0.962646 | + | 0.270764i | \(0.0872764\pi\) |
−0.246834 | + | 0.969058i | \(0.579390\pi\) | |||||||
\(758\) | −274.559 | − | 158.517i | −0.362215 | − | 0.209125i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 7.37047 | − | 1.97491i | 0.00969799 | − | 0.00259857i | ||||
\(761\) | 301.591 | + | 1125.55i | 0.396309 | + | 1.47905i | 0.819538 | + | 0.573024i | \(0.194230\pi\) |
−0.423229 | + | 0.906023i | \(0.639103\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 583.261 | − | 1010.24i | 0.764431 | − | 1.32403i | ||||
\(764\) | 279.264 | − | 161.233i | 0.365528 | − | 0.211038i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 402.745i | 0.525776i | ||||||||
\(767\) | 86.6910 | + | 567.014i | 0.113026 | + | 0.739263i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −238.002 | + | 888.237i | −0.309496 | + | 1.15505i | 0.619510 | + | 0.784989i | \(0.287331\pi\) |
−0.929006 | + | 0.370065i | \(0.879335\pi\) | |||||||
\(770\) | 691.364 | + | 1197.48i | 0.897875 | + | 1.55516i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −237.314 | − | 237.314i | −0.307402 | − | 0.307402i | ||||
\(773\) | −1181.38 | + | 316.550i | −1.52830 | + | 0.409508i | −0.922466 | − | 0.386079i | \(-0.873829\pi\) |
−0.605839 | + | 0.795587i | \(0.707163\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 248.814 | − | 248.814i | 0.321051 | − | 0.321051i | ||||
\(776\) | 189.077 | − | 327.491i | 0.243656 | − | 0.422025i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 75.9462 | + | 20.3497i | 0.0976173 | + | 0.0261565i | ||||
\(779\) | − | 18.0709i | − | 0.0231976i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 170.053 | 0.217737 | ||||||||
\(782\) | −355.846 | + | 1328.04i | −0.455046 | + | 1.69826i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −61.6043 | − | 35.5673i | −0.0785770 | − | 0.0453664i | ||||
\(785\) | 535.212 | + | 535.212i | 0.681799 | + | 0.681799i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 23.0406 | + | 85.9888i | 0.0292765 | + | 0.109261i | 0.979018 | − | 0.203774i | \(-0.0653208\pi\) |
−0.949741 | + | 0.313036i | \(0.898654\pi\) | |||||||
\(788\) | 285.949 | − | 285.949i | 0.362880 | − | 0.362880i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −885.232 | + | 511.089i | −1.12055 | + | 0.646948i | ||||
\(791\) | 242.350 | + | 64.9374i | 0.306384 | + | 0.0820953i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −689.738 | + | 938.713i | −0.869784 | + | 1.18375i | ||||
\(794\) | −330.712 | −0.416514 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −93.3316 | − | 161.655i | −0.117251 | − | 0.203084i | ||||
\(797\) | 497.176 | + | 287.045i | 0.623810 | + | 0.360157i | 0.778351 | − | 0.627830i | \(-0.216057\pi\) |
−0.154541 | + | 0.987986i | \(0.549390\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −474.765 | + | 127.213i | −0.594198 | + | 0.159215i | ||||
\(800\) | 20.4111 | + | 76.1752i | 0.0255138 | + | 0.0952189i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 102.445 | − | 177.439i | 0.127737 | − | 0.221246i | ||||
\(803\) | 139.172 | − | 80.3508i | 0.173315 | − | 0.100063i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2147.48i | 2.66768i | ||||||||
\(806\) | 424.927 | − | 186.465i | 0.527204 | − | 0.231346i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 28.0040 | − | 104.512i | 0.0346584 | − | 0.129347i | ||||
\(809\) | −91.7902 | − | 158.985i | −0.113461 | − | 0.196521i | 0.803702 | − | 0.595032i | \(-0.202860\pi\) |
−0.917164 | + | 0.398511i | \(0.869527\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 40.9644 | + | 40.9644i | 0.0505110 | + | 0.0505110i | 0.731911 | − | 0.681400i | \(-0.238629\pi\) |
−0.681400 | + | 0.731911i | \(0.738629\pi\) | |||||||
\(812\) | 102.865 | − | 27.5627i | 0.126682 | − | 0.0339442i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 27.3893 | − | 27.3893i | 0.0336477 | − | 0.0336477i | ||||
\(815\) | 590.662 | − | 1023.06i | 0.724739 | − | 1.25528i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −24.6542 | − | 6.60608i | −0.0301765 | − | 0.00808577i | ||||
\(818\) | 975.143i | 1.19211i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 521.689 | 0.636206 | ||||||||
\(821\) | 204.644 | − | 763.741i | 0.249261 | − | 0.930257i | −0.721932 | − | 0.691964i | \(-0.756746\pi\) |
0.971193 | − | 0.238293i | \(-0.0765877\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 511.215 | + | 295.150i | 0.621160 | + | 0.358627i | 0.777321 | − | 0.629105i | \(-0.216578\pi\) |
−0.156160 | + | 0.987732i | \(0.549912\pi\) | |||||||
\(824\) | −131.965 | − | 131.965i | −0.160152 | − | 0.160152i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −131.982 | − | 492.563i | −0.159784 | − | 0.596324i | ||||
\(827\) | 6.60106 | − | 6.60106i | 0.00798194 | − | 0.00798194i | −0.703105 | − | 0.711086i | \(-0.748203\pi\) |
0.711086 | + | 0.703105i | \(0.248203\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1116.59 | − | 644.663i | 1.34691 | − | 0.777639i | 0.359100 | − | 0.933299i | \(-0.383084\pi\) |
0.987811 | + | 0.155660i | \(0.0497504\pi\) | |||||||
\(830\) | −412.700 | − | 110.583i | −0.497229 | − | 0.133232i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −11.4256 | + | 103.370i | −0.0137327 | + | 0.124243i | ||||
\(833\) | −410.564 | −0.492874 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −176.924 | − | 306.442i | −0.211886 | − | 0.366997i | ||||
\(836\) | 14.3564 | + | 8.28869i | 0.0171728 | + | 0.00991470i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −96.5071 | + | 25.8590i | −0.115164 | + | 0.0308580i | ||||
\(839\) | −4.64385 | − | 17.3311i | −0.00553498 | − | 0.0206568i | 0.963103 | − | 0.269133i | \(-0.0867370\pi\) |
−0.968638 | + | 0.248476i | \(0.920070\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 399.273 | − | 691.561i | 0.474760 | − | 0.822308i | ||||
\(842\) | −467.521 | + | 269.923i | −0.555250 | + | 0.320574i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 632.903i | 0.749885i | ||||||||
\(845\) | −564.858 | − | 890.578i | −0.668471 | − | 1.05394i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −521.566 | + | 1946.51i | −0.615781 | + | 2.29813i | ||||
\(848\) | −17.8159 | − | 30.8580i | −0.0210093 | − | 0.0363892i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 321.851 | + | 321.851i | 0.378648 | + | 0.378648i | ||||
\(851\) | 58.1075 | − | 15.5699i | 0.0682815 | − | 0.0182960i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 530.523 | − | 530.523i | 0.621949 | − | 0.621949i | −0.324080 | − | 0.946030i | \(-0.605055\pi\) |
0.946030 | + | 0.324080i | \(0.105055\pi\) | |||||||
\(854\) | 517.790 | − | 896.839i | 0.606312 | − | 1.05016i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −258.131 | − | 69.1661i | −0.301555 | − | 0.0808015i | ||||
\(857\) | − | 938.561i | − | 1.09517i | −0.836750 | − | 0.547585i | \(-0.815547\pi\) | ||
0.836750 | − | 0.547585i | \(-0.184453\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −30.0614 | −0.0349958 | −0.0174979 | − | 0.999847i | \(-0.505570\pi\) | ||||
−0.0174979 | + | 0.999847i | \(0.505570\pi\) | |||||||
\(860\) | 190.710 | − | 711.741i | 0.221756 | − | 0.827606i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −794.082 | − | 458.463i | −0.921208 | − | 0.531860i | ||||
\(863\) | −32.0489 | − | 32.0489i | −0.0371366 | − | 0.0371366i | 0.688295 | − | 0.725431i | \(-0.258360\pi\) |
−0.725431 | + | 0.688295i | \(0.758360\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −525.707 | − | 1961.96i | −0.607753 | − | 2.26817i | ||||
\(866\) | 381.184 | − | 381.184i | 0.440166 | − | 0.440166i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −357.266 | + | 206.267i | −0.411597 | + | 0.237635i | ||||
\(869\) | −2145.03 | − | 574.760i | −2.46839 | − | 0.661404i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −187.193 | + | 479.943i | −0.214917 | + | 0.551026i | ||||
\(872\) | 403.741 | 0.463006 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 12.8730 | + | 22.2967i | 0.0147288 | + | 0.0255110i | ||||
\(875\) | −488.410 | − | 281.984i | −0.558183 | − | 0.322267i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 801.220 | − | 214.686i | 0.913591 | − | 0.244796i | 0.228747 | − | 0.973486i | \(-0.426537\pi\) |
0.684844 | + | 0.728690i | \(0.259870\pi\) | |||||||
\(878\) | −40.7834 | − | 152.206i | −0.0464503 | − | 0.173355i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −239.286 | + | 414.455i | −0.271915 | + | 0.470971i | ||||
\(881\) | 171.630 | − | 99.0905i | 0.194813 | − | 0.112475i | −0.399421 | − | 0.916768i | \(-0.630789\pi\) |
0.594234 | + | 0.804293i | \(0.297455\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 328.692i | − | 0.372245i | −0.982527 | − | 0.186122i | \(-0.940408\pi\) | ||
0.982527 | − | 0.186122i | \(-0.0595921\pi\) | |||||||
\(884\) | 241.199 | + | 549.659i | 0.272850 | + | 0.621786i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −175.750 | + | 655.907i | −0.198363 | + | 0.740302i | ||||
\(887\) | −274.496 | − | 475.441i | −0.309465 | − | 0.536010i | 0.668780 | − | 0.743460i | \(-0.266817\pi\) |
−0.978246 | + | 0.207450i | \(0.933483\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −919.879 | − | 919.879i | −1.03473 | − | 1.03473i | ||||
\(890\) | 512.497 | − | 137.323i | 0.575839 | − | 0.154296i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −96.5826 | + | 96.5826i | −0.108276 | + | 0.108276i | ||||
\(893\) | −4.60201 | + | 7.97091i | −0.00515342 | + | 0.00892599i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −849.266 | − | 227.560i | −0.948901 | − | 0.254257i | ||||
\(896\) | − | 92.4570i | − | 0.103189i | ||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 575.801 | 0.641203 | ||||||||
\(899\) | 42.5650 | − | 158.855i | 0.0473470 | − | 0.176702i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −178.102 | − | 102.827i | −0.197671 | − | 0.114125i | ||||
\(902\) | 801.421 | + | 801.421i | 0.888493 | + | 0.888493i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 22.4753 | + | 83.8789i | 0.0248620 | + | 0.0927863i | ||||
\(905\) | 247.461 | − | 247.461i | 0.273438 | − | 0.273438i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 502.754 | − | 290.265i | 0.554304 | − | 0.320028i | −0.196552 | − | 0.980493i | \(-0.562974\pi\) |
0.750856 | + | 0.660466i | \(0.229641\pi\) | |||||||
\(908\) | 48.6131 | + | 13.0258i | 0.0535387 | + | 0.0143456i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 586.106 | + | 731.772i | 0.644072 | + | 0.804145i | ||||
\(911\) | −1086.06 | −1.19216 | −0.596081 | − | 0.802924i | \(-0.703276\pi\) | ||||
−0.596081 | + | 0.802924i | \(0.703276\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −464.114 | − | 803.870i | −0.508340 | − | 0.880471i | ||||
\(914\) | 24.8626 | + | 14.3544i | 0.0272019 | + | 0.0157050i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 751.069 | − | 201.248i | 0.819944 | − | 0.219703i | ||||
\(917\) | −188.015 | − | 701.682i | −0.205033 | − | 0.765193i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −120.239 | + | 208.260i | −0.130837 | + | 0.226616i | −0.923999 | − | 0.382394i | \(-0.875100\pi\) |
0.793162 | + | 0.609010i | \(0.208433\pi\) | |||||||
\(920\) | −643.681 | + | 371.629i | −0.699653 | + | 0.403945i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 670.147i | 0.726840i | ||||||||
\(923\) | 113.979 | − | 17.4263i | 0.123488 | − | 0.0188801i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 5.15452 | − | 19.2369i | 0.00557245 | − | 0.0207967i | ||||
\(926\) | −266.154 | − | 460.992i | −0.287423 | − | 0.497831i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 26.0628 | + | 26.0628i | 0.0280849 | + | 0.0280849i | ||||
\(929\) | 28.3998 | − | 7.60971i | 0.0305703 | − | 0.00819129i | −0.243501 | − | 0.969901i | \(-0.578296\pi\) |
0.274072 | + | 0.961709i | \(0.411629\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −5.43637 | + | 5.43637i | −0.00583928 | + | 0.00583928i | ||||
\(932\) | −401.576 | + | 695.549i | −0.430875 | + | 0.746298i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −316.092 | − | 84.6967i | −0.338429 | − | 0.0906817i | ||||
\(935\) | 2762.15i | 2.95417i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −254.283 | −0.271380 | −0.135690 | − | 0.990751i | \(-0.543325\pi\) | ||||
−0.135690 | + | 0.990751i | \(0.543325\pi\) | |||||||
\(938\) | 118.534 | − | 442.375i | 0.126369 | − | 0.471615i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −230.112 | − | 132.855i | −0.244800 | − | 0.141335i | ||||
\(941\) | 237.783 | + | 237.783i | 0.252692 | + | 0.252692i | 0.822073 | − | 0.569382i | \(-0.192817\pi\) |
−0.569382 | + | 0.822073i | \(0.692817\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 455.580 | + | 1700.25i | 0.483118 | + | 1.80302i | ||||
\(944\) | 124.800 | − | 124.800i | 0.132203 | − | 0.132203i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1386.35 | − | 800.410i | 1.46549 | − | 0.846099i | ||||
\(947\) | −1423.73 | − | 381.488i | −1.50341 | − | 0.402838i | −0.589171 | − | 0.808009i | \(-0.700545\pi\) |
−0.914241 | + | 0.405171i | \(0.867212\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 85.0471 | − | 68.1177i | 0.0896176 | − | 0.0717784i | ||||
\(950\) | 8.52340 | 0.00897199 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −266.815 | − | 462.137i | −0.280268 | − | 0.485438i | ||||
\(953\) | 165.521 | + | 95.5635i | 0.173684 | + | 0.100276i | 0.584322 | − | 0.811522i | \(-0.301361\pi\) |
−0.410638 | + | 0.911799i | \(0.634694\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 971.854 | − | 260.408i | 1.01765 | − | 0.272678i | ||||
\(956\) | 223.566 | + | 834.359i | 0.233855 | + | 0.872760i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 59.3095 | − | 102.727i | 0.0619097 | − | 0.107231i | ||||
\(959\) | 778.855 | − | 449.672i | 0.812153 | − | 0.468897i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | − | 323.924i | − | 0.337069i | ||||||
\(962\) | 15.5512 | − | 21.1647i | 0.0161655 | − | 0.0220007i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −57.6148 | + | 215.021i | −0.0597663 | + | 0.223051i | ||||
\(965\) | −523.580 | − | 906.867i | −0.542570 | − | 0.939758i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 748.972 | + | 748.972i | 0.774531 | + | 0.774531i | 0.978895 | − | 0.204364i | \(-0.0655125\pi\) |
−0.204364 | + | 0.978895i | \(0.565513\pi\) | |||||||
\(968\) | −673.701 | + | 180.518i | −0.695972 | + | 0.186485i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 834.310 | − | 834.310i | 0.860114 | − | 0.860114i | ||||
\(971\) | −72.9809 | + | 126.407i | −0.0751605 | + | 0.130182i | −0.901156 | − | 0.433495i | \(-0.857280\pi\) |
0.825996 | + | 0.563677i | \(0.190614\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1958.70 | − | 524.831i | −2.01305 | − | 0.539395i | ||||
\(974\) | 75.5983i | 0.0776163i | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 358.421 | 0.367235 | ||||||||
\(977\) | 213.637 | − | 797.304i | 0.218666 | − | 0.816074i | −0.766177 | − | 0.642629i | \(-0.777844\pi\) |
0.984844 | − | 0.173445i | \(-0.0554898\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 998.257 | + | 576.344i | 1.01967 | + | 0.588707i | ||||
\(980\) | −156.942 | − | 156.942i | −0.160145 | − | 0.160145i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −319.392 | − | 1191.99i | −0.325246 | − | 1.21383i | ||||
\(983\) | 238.633 | − | 238.633i | 0.242760 | − | 0.242760i | −0.575231 | − | 0.817991i | \(-0.695088\pi\) |
0.817991 | + | 0.575231i | \(0.195088\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1092.72 | − | 630.882i | 1.10936 | − | 0.640489i | ||||
\(986\) | 205.485 | + | 55.0595i | 0.208402 | + | 0.0558412i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 10.4719 | + | 4.08438i | 0.0105991 | + | 0.00413399i | ||||
\(989\) | 2486.20 | 2.51385 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 142.980 | + | 247.649i | 0.144279 | + | 0.249898i | 0.929104 | − | 0.369819i | \(-0.120580\pi\) |
−0.784825 | + | 0.619718i | \(0.787247\pi\) | |||||||
\(992\) | −123.652 | − | 71.3905i | −0.124649 | − | 0.0719663i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −99.0134 | + | 26.5306i | −0.0996111 | + | 0.0266907i | ||||
\(995\) | −150.740 | − | 562.569i | −0.151497 | − | 0.565396i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 58.7843 | − | 101.817i | 0.0589612 | − | 0.102124i | −0.835038 | − | 0.550192i | \(-0.814555\pi\) |
0.893999 | + | 0.448068i | \(0.147888\pi\) | |||||||
\(998\) | 309.356 | − | 178.607i | 0.309976 | − | 0.178965i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 234.3.bb.d.37.1 | 8 | ||
3.2 | odd | 2 | 78.3.l.c.37.2 | yes | 8 | ||
13.6 | odd | 12 | inner | 234.3.bb.d.19.1 | 8 | ||
39.2 | even | 12 | 1014.3.f.h.577.4 | 8 | |||
39.11 | even | 12 | 1014.3.f.j.577.3 | 8 | |||
39.23 | odd | 6 | 1014.3.f.j.775.3 | 8 | |||
39.29 | odd | 6 | 1014.3.f.h.775.4 | 8 | |||
39.32 | even | 12 | 78.3.l.c.19.2 | ✓ | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
78.3.l.c.19.2 | ✓ | 8 | 39.32 | even | 12 | ||
78.3.l.c.37.2 | yes | 8 | 3.2 | odd | 2 | ||
234.3.bb.d.19.1 | 8 | 13.6 | odd | 12 | inner | ||
234.3.bb.d.37.1 | 8 | 1.1 | even | 1 | trivial | ||
1014.3.f.h.577.4 | 8 | 39.2 | even | 12 | |||
1014.3.f.h.775.4 | 8 | 39.29 | odd | 6 | |||
1014.3.f.j.577.3 | 8 | 39.11 | even | 12 | |||
1014.3.f.j.775.3 | 8 | 39.23 | odd | 6 |