Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [196,3,Mod(99,196)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(196, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("196.99");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 196 = 2^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 196.c (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.34061318146\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.1539727.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 2x^{5} + 3x^{3} - 8x + 8 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{6} \) |
Twist minimal: | no (minimal twist has level 28) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 99.2 | ||
Root | \(0.841985 + 1.13625i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 196.99 |
Dual form | 196.3.c.g.99.1 |
$q$-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 \(\left(\mathbb{Z}/196\mathbb{Z}\right)^\times\).
\(n\) | \(99\) | \(101\) |
\(\chi(n)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.92411 | + | 0.545716i | −0.962054 | + | 0.272858i | ||||
\(3\) | 4.54500i | 1.51500i | 0.652836 | + | 0.757499i | \(0.273579\pi\) | ||||
−0.652836 | + | 0.757499i | \(0.726421\pi\) | |||||||
\(4\) | 3.40439 | − | 2.10003i | 0.851097 | − | 0.525009i | ||||
\(5\) | −1.36794 | −0.273588 | −0.136794 | − | 0.990600i | \(-0.543680\pi\) | ||||
−0.136794 | + | 0.990600i | \(0.543680\pi\) | |||||||
\(6\) | −2.48028 | − | 8.74507i | −0.413380 | − | 1.45751i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −5.40439 | + | 5.89853i | −0.675548 | + | 0.737316i | ||||
\(9\) | −11.6570 | −1.29522 | ||||||||
\(10\) | 2.63206 | − | 0.746506i | 0.263206 | − | 0.0746506i | ||||
\(11\) | 15.3073i | 1.39157i | 0.718250 | + | 0.695785i | \(0.244943\pi\) | ||||
−0.718250 | + | 0.695785i | \(0.755057\pi\) | |||||||
\(12\) | 9.54465 | + | 15.4729i | 0.795388 | + | 1.28941i | ||||
\(13\) | −19.9460 | −1.53431 | −0.767156 | − | 0.641461i | \(-0.778329\pi\) | ||||
−0.767156 | + | 0.641461i | \(0.778329\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | − | 6.21727i | − | 0.414485i | ||||||
\(16\) | 7.17971 | − | 14.2987i | 0.448732 | − | 0.893667i | ||||
\(17\) | 4.73588 | 0.278581 | 0.139290 | − | 0.990252i | \(-0.455518\pi\) | ||||
0.139290 | + | 0.990252i | \(0.455518\pi\) | |||||||
\(18\) | 22.4293 | − | 6.36141i | 1.24607 | − | 0.353412i | ||||
\(19\) | − | 13.2765i | − | 0.698761i | −0.936981 | − | 0.349380i | \(-0.886392\pi\) | ||
0.936981 | − | 0.349380i | \(-0.113608\pi\) | |||||||
\(20\) | −4.65699 | + | 2.87272i | −0.232850 | + | 0.143636i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −8.35343 | − | 29.4528i | −0.379701 | − | 1.33877i | ||||
\(23\) | − | 14.9487i | − | 0.649945i | −0.945723 | − | 0.324973i | \(-0.894645\pi\) | ||
0.945723 | − | 0.324973i | \(-0.105355\pi\) | |||||||
\(24\) | −26.8088 | − | 24.5629i | −1.11703 | − | 1.02346i | ||||
\(25\) | −23.1287 | −0.925150 | ||||||||
\(26\) | 38.3784 | − | 10.8849i | 1.47609 | − | 0.418649i | ||||
\(27\) | − | 12.0760i | − | 0.447260i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6.20763 | 0.214056 | 0.107028 | − | 0.994256i | \(-0.465867\pi\) | ||||
0.107028 | + | 0.994256i | \(0.465867\pi\) | |||||||
\(30\) | 3.39287 | + | 11.9627i | 0.113096 | + | 0.398757i | ||||
\(31\) | − | 18.5385i | − | 0.598017i | −0.954251 | − | 0.299008i | \(-0.903344\pi\) | ||
0.954251 | − | 0.299008i | \(-0.0966558\pi\) | |||||||
\(32\) | −6.01152 | + | 31.4303i | −0.187860 | + | 0.982196i | ||||
\(33\) | −69.5715 | −2.10823 | ||||||||
\(34\) | −9.11234 | + | 2.58445i | −0.268010 | + | 0.0760131i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −39.6849 | + | 24.4801i | −1.10236 | + | 0.680003i | ||||
\(37\) | −27.5216 | −0.743827 | −0.371914 | − | 0.928267i | \(-0.621298\pi\) | ||||
−0.371914 | + | 0.928267i | \(0.621298\pi\) | |||||||
\(38\) | 7.24518 | + | 25.5453i | 0.190663 | + | 0.672246i | ||||
\(39\) | − | 90.6547i | − | 2.32448i | ||||||
\(40\) | 7.39287 | − | 8.06882i | 0.184822 | − | 0.201720i | ||||
\(41\) | 11.1064 | 0.270887 | 0.135443 | − | 0.990785i | \(-0.456754\pi\) | ||||
0.135443 | + | 0.990785i | \(0.456754\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 27.0248i | 0.628483i | 0.949343 | + | 0.314241i | \(0.101750\pi\) | ||||
−0.949343 | + | 0.314241i | \(0.898250\pi\) | |||||||
\(44\) | 32.1458 | + | 52.1119i | 0.730586 | + | 1.18436i | ||||
\(45\) | 15.9460 | 0.354357 | ||||||||
\(46\) | 8.15777 | + | 28.7630i | 0.177343 | + | 0.625282i | ||||
\(47\) | 30.9731i | 0.659001i | 0.944155 | + | 0.329501i | \(0.106880\pi\) | ||||
−0.944155 | + | 0.329501i | \(0.893120\pi\) | |||||||
\(48\) | 64.9874 | + | 32.6317i | 1.35390 | + | 0.679828i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 44.5022 | − | 12.6217i | 0.890044 | − | 0.252435i | ||||
\(51\) | 21.5245i | 0.422050i | ||||||||
\(52\) | −67.9041 | + | 41.8874i | −1.30585 | + | 0.805527i | ||||
\(53\) | −12.7857 | −0.241240 | −0.120620 | − | 0.992699i | \(-0.538488\pi\) | ||||
−0.120620 | + | 0.992699i | \(0.538488\pi\) | |||||||
\(54\) | 6.59008 | + | 23.2356i | 0.122039 | + | 0.430288i | ||||
\(55\) | − | 20.9394i | − | 0.380716i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 60.3415 | 1.05862 | ||||||||
\(58\) | −11.9442 | + | 3.38760i | −0.205934 | + | 0.0584070i | ||||
\(59\) | 28.8289i | 0.488626i | 0.969696 | + | 0.244313i | \(0.0785625\pi\) | ||||
−0.969696 | + | 0.244313i | \(0.921438\pi\) | |||||||
\(60\) | −13.0565 | − | 21.1660i | −0.217608 | − | 0.352767i | ||||
\(61\) | −6.52415 | −0.106953 | −0.0534767 | − | 0.998569i | \(-0.517030\pi\) | ||||
−0.0534767 | + | 0.998569i | \(0.517030\pi\) | |||||||
\(62\) | 10.1168 | + | 35.6701i | 0.163174 | + | 0.575324i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −5.58519 | − | 63.7558i | −0.0872687 | − | 0.996185i | ||||
\(65\) | 27.2850 | 0.419769 | ||||||||
\(66\) | 133.863 | − | 37.9663i | 2.02823 | − | 0.575247i | ||||
\(67\) | 102.863i | 1.53526i | 0.640891 | + | 0.767632i | \(0.278565\pi\) | ||||
−0.640891 | + | 0.767632i | \(0.721435\pi\) | |||||||
\(68\) | 16.1228 | − | 9.94551i | 0.237099 | − | 0.146257i | ||||
\(69\) | 67.9420 | 0.984666 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 45.8085i | 0.645190i | 0.946537 | + | 0.322595i | \(0.104555\pi\) | ||||
−0.946537 | + | 0.322595i | \(0.895445\pi\) | |||||||
\(72\) | 62.9989 | − | 68.7591i | 0.874985 | − | 0.954987i | ||||
\(73\) | 70.0997 | 0.960270 | 0.480135 | − | 0.877195i | \(-0.340588\pi\) | ||||
0.480135 | + | 0.877195i | \(0.340588\pi\) | |||||||
\(74\) | 52.9546 | − | 15.0190i | 0.715602 | − | 0.202959i | ||||
\(75\) | − | 105.120i | − | 1.40160i | ||||||
\(76\) | −27.8810 | − | 45.1982i | −0.366856 | − | 0.594713i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 49.4718 | + | 174.429i | 0.634253 | + | 2.23628i | ||||
\(79\) | − | 33.3739i | − | 0.422455i | −0.977437 | − | 0.211228i | \(-0.932254\pi\) | ||
0.977437 | − | 0.211228i | \(-0.0677461\pi\) | |||||||
\(80\) | −9.82140 | + | 19.5597i | −0.122767 | + | 0.244496i | ||||
\(81\) | −50.0275 | −0.617623 | ||||||||
\(82\) | −21.3698 | + | 6.06092i | −0.260608 | + | 0.0739136i | ||||
\(83\) | 159.301i | 1.91930i | 0.281206 | + | 0.959648i | \(0.409266\pi\) | ||||
−0.281206 | + | 0.959648i | \(0.590734\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −6.47839 | −0.0762163 | ||||||||
\(86\) | −14.7478 | − | 51.9986i | −0.171487 | − | 0.604634i | ||||
\(87\) | 28.2137i | 0.324295i | ||||||||
\(88\) | −90.2903 | − | 82.7264i | −1.02603 | − | 0.940073i | ||||
\(89\) | 50.0417 | 0.562266 | 0.281133 | − | 0.959669i | \(-0.409290\pi\) | ||||
0.281133 | + | 0.959669i | \(0.409290\pi\) | |||||||
\(90\) | −30.6819 | + | 8.70202i | −0.340910 | + | 0.0966891i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −31.3929 | − | 50.8913i | −0.341227 | − | 0.553166i | ||||
\(93\) | 84.2575 | 0.905995 | ||||||||
\(94\) | −16.9025 | − | 59.5955i | −0.179814 | − | 0.633995i | ||||
\(95\) | 18.1614i | 0.191172i | ||||||||
\(96\) | −142.850 | − | 27.3223i | −1.48803 | − | 0.284608i | ||||
\(97\) | −89.7343 | −0.925096 | −0.462548 | − | 0.886594i | \(-0.653065\pi\) | ||||
−0.462548 | + | 0.886594i | \(0.653065\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − | 178.437i | − | 1.80239i | ||||||
\(100\) | −78.7392 | + | 48.5712i | −0.787392 | + | 0.485712i | ||||
\(101\) | −162.881 | −1.61269 | −0.806343 | − | 0.591448i | \(-0.798557\pi\) | ||||
−0.806343 | + | 0.591448i | \(0.798557\pi\) | |||||||
\(102\) | −11.7463 | − | 41.4156i | −0.115160 | − | 0.406035i | ||||
\(103\) | 86.1212i | 0.836129i | 0.908417 | + | 0.418064i | \(0.137291\pi\) | ||||
−0.908417 | + | 0.418064i | \(0.862709\pi\) | |||||||
\(104\) | 107.796 | − | 117.652i | 1.03650 | − | 1.13127i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 24.6011 | − | 6.97739i | 0.232086 | − | 0.0658244i | ||||
\(107\) | 102.146i | 0.954632i | 0.878732 | + | 0.477316i | \(0.158390\pi\) | ||||
−0.878732 | + | 0.477316i | \(0.841610\pi\) | |||||||
\(108\) | −25.3601 | − | 41.1114i | −0.234815 | − | 0.380662i | ||||
\(109\) | 152.037 | 1.39483 | 0.697416 | − | 0.716667i | \(-0.254333\pi\) | ||||
0.697416 | + | 0.716667i | \(0.254333\pi\) | |||||||
\(110\) | 11.4270 | + | 40.2897i | 0.103882 | + | 0.366270i | ||||
\(111\) | − | 125.086i | − | 1.12690i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −168.112 | −1.48772 | −0.743860 | − | 0.668335i | \(-0.767007\pi\) | ||||
−0.743860 | + | 0.668335i | \(0.767007\pi\) | |||||||
\(114\) | −116.104 | + | 32.9293i | −1.01845 | + | 0.288854i | ||||
\(115\) | 20.4489i | 0.177817i | ||||||||
\(116\) | 21.1332 | − | 13.0362i | 0.182183 | − | 0.112381i | ||||
\(117\) | 232.511 | 1.98727 | ||||||||
\(118\) | −15.7324 | − | 55.4700i | −0.133326 | − | 0.470085i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 36.6727 | + | 33.6006i | 0.305606 | + | 0.280005i | ||||
\(121\) | −113.312 | −0.936466 | ||||||||
\(122\) | 12.5532 | − | 3.56034i | 0.102895 | − | 0.0291831i | ||||
\(123\) | 50.4783i | 0.410393i | ||||||||
\(124\) | −38.9315 | − | 63.1123i | −0.313964 | − | 0.508970i | ||||
\(125\) | 65.8372 | 0.526697 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 87.8953i | 0.692089i | 0.938218 | + | 0.346044i | \(0.112475\pi\) | ||||
−0.938218 | + | 0.346044i | \(0.887525\pi\) | |||||||
\(128\) | 45.5391 | + | 119.625i | 0.355774 | + | 0.934572i | ||||
\(129\) | −122.827 | −0.952150 | ||||||||
\(130\) | −52.4992 | + | 14.8898i | −0.403840 | + | 0.114537i | ||||
\(131\) | 140.141i | 1.06978i | 0.844923 | + | 0.534888i | \(0.179646\pi\) | ||||
−0.844923 | + | 0.534888i | \(0.820354\pi\) | |||||||
\(132\) | −236.848 | + | 146.103i | −1.79430 | + | 1.10684i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −56.1338 | − | 197.919i | −0.418909 | − | 1.47701i | ||||
\(135\) | 16.5192i | 0.122365i | ||||||||
\(136\) | −25.5945 | + | 27.9347i | −0.188195 | + | 0.205402i | ||||
\(137\) | 118.725 | 0.866603 | 0.433301 | − | 0.901249i | \(-0.357349\pi\) | ||||
0.433301 | + | 0.901249i | \(0.357349\pi\) | |||||||
\(138\) | −130.728 | + | 37.0770i | −0.947302 | + | 0.268674i | ||||
\(139\) | − | 72.1046i | − | 0.518738i | −0.965778 | − | 0.259369i | \(-0.916485\pi\) | ||
0.965778 | − | 0.259369i | \(-0.0835147\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −140.772 | −0.998386 | ||||||||
\(142\) | −24.9984 | − | 88.1405i | −0.176045 | − | 0.620708i | ||||
\(143\) | − | 305.319i | − | 2.13510i | ||||||
\(144\) | −83.6938 | + | 166.679i | −0.581207 | + | 1.15750i | ||||
\(145\) | −8.49165 | −0.0585631 | ||||||||
\(146\) | −134.879 | + | 38.2546i | −0.923832 | + | 0.262018i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −93.6942 | + | 57.7963i | −0.633069 | + | 0.390516i | ||||
\(149\) | 218.299 | 1.46510 | 0.732548 | − | 0.680716i | \(-0.238331\pi\) | ||||
0.732548 | + | 0.680716i | \(0.238331\pi\) | |||||||
\(150\) | 57.3657 | + | 202.262i | 0.382438 | + | 1.34842i | ||||
\(151\) | − | 180.946i | − | 1.19832i | −0.800629 | − | 0.599160i | \(-0.795501\pi\) | ||
0.800629 | − | 0.599160i | \(-0.204499\pi\) | |||||||
\(152\) | 78.3115 | + | 71.7511i | 0.515207 | + | 0.472047i | ||||
\(153\) | −55.2061 | −0.360824 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 25.3595i | 0.163610i | ||||||||
\(156\) | −190.378 | − | 308.624i | −1.22037 | − | 1.97836i | ||||
\(157\) | 191.081 | 1.21708 | 0.608538 | − | 0.793525i | \(-0.291756\pi\) | ||||
0.608538 | + | 0.793525i | \(0.291756\pi\) | |||||||
\(158\) | 18.2127 | + | 64.2151i | 0.115270 | + | 0.406425i | ||||
\(159\) | − | 58.1111i | − | 0.365479i | ||||||
\(160\) | 8.22339 | − | 42.9947i | 0.0513962 | − | 0.268717i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 96.2583 | − | 27.3008i | 0.594187 | − | 0.168524i | ||||
\(163\) | − | 287.743i | − | 1.76530i | −0.470035 | − | 0.882648i | \(-0.655759\pi\) | ||
0.470035 | − | 0.882648i | \(-0.344241\pi\) | |||||||
\(164\) | 37.8103 | − | 23.3237i | 0.230551 | − | 0.142218i | ||||
\(165\) | 95.1695 | 0.576785 | ||||||||
\(166\) | −86.9334 | − | 306.513i | −0.523695 | − | 1.84647i | ||||
\(167\) | − | 124.859i | − | 0.747659i | −0.927497 | − | 0.373829i | \(-0.878045\pi\) | ||
0.927497 | − | 0.373829i | \(-0.121955\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 228.845 | 1.35411 | ||||||||
\(170\) | 12.4651 | − | 3.53536i | 0.0733242 | − | 0.0207962i | ||||
\(171\) | 154.764i | 0.905050i | ||||||||
\(172\) | 56.7529 | + | 92.0027i | 0.329959 | + | 0.534900i | ||||
\(173\) | 275.207 | 1.59079 | 0.795396 | − | 0.606090i | \(-0.207263\pi\) | ||||
0.795396 | + | 0.606090i | \(0.207263\pi\) | |||||||
\(174\) | −15.3967 | − | 54.2861i | −0.0884865 | − | 0.311989i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 218.873 | + | 109.902i | 1.24360 | + | 0.624441i | ||||
\(177\) | −131.027 | −0.740268 | ||||||||
\(178\) | −96.2856 | + | 27.3086i | −0.540930 | + | 0.153419i | ||||
\(179\) | 7.42479i | 0.0414792i | 0.999785 | + | 0.0207396i | \(0.00660210\pi\) | ||||
−0.999785 | + | 0.0207396i | \(0.993398\pi\) | |||||||
\(180\) | 54.2865 | − | 33.4873i | 0.301592 | − | 0.186040i | ||||
\(181\) | −99.5623 | −0.550068 | −0.275034 | − | 0.961435i | \(-0.588689\pi\) | ||||
−0.275034 | + | 0.961435i | \(0.588689\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 29.6522i | − | 0.162034i | ||||||
\(184\) | 88.1755 | + | 80.7888i | 0.479215 | + | 0.439069i | ||||
\(185\) | 37.6479 | 0.203502 | ||||||||
\(186\) | −162.121 | + | 45.9807i | −0.871616 | + | 0.247208i | ||||
\(187\) | 72.4933i | 0.387665i | ||||||||
\(188\) | 65.0445 | + | 105.444i | 0.345981 | + | 0.560874i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −9.91096 | − | 34.9445i | −0.0521629 | − | 0.183918i | ||||
\(191\) | 58.2058i | 0.304743i | 0.988323 | + | 0.152371i | \(0.0486909\pi\) | ||||
−0.988323 | + | 0.152371i | \(0.951309\pi\) | |||||||
\(192\) | 289.770 | − | 25.3847i | 1.50922 | − | 0.132212i | ||||
\(193\) | −103.881 | −0.538246 | −0.269123 | − | 0.963106i | \(-0.586734\pi\) | ||||
−0.269123 | + | 0.963106i | \(0.586734\pi\) | |||||||
\(194\) | 172.659 | − | 48.9695i | 0.889993 | − | 0.252420i | ||||
\(195\) | 124.010i | 0.635949i | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −181.201 | −0.919802 | −0.459901 | − | 0.887970i | \(-0.652115\pi\) | ||||
−0.459901 | + | 0.887970i | \(0.652115\pi\) | |||||||
\(198\) | 97.3758 | + | 343.332i | 0.491797 | + | 1.73400i | ||||
\(199\) | 217.919i | 1.09507i | 0.836783 | + | 0.547535i | \(0.184434\pi\) | ||||
−0.836783 | + | 0.547535i | \(0.815566\pi\) | |||||||
\(200\) | 124.997 | − | 136.425i | 0.624983 | − | 0.682127i | ||||
\(201\) | −467.510 | −2.32592 | ||||||||
\(202\) | 313.401 | − | 88.8870i | 1.55149 | − | 0.440035i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 45.2023 | + | 73.2779i | 0.221580 | + | 0.359205i | ||||
\(205\) | −15.1928 | −0.0741113 | ||||||||
\(206\) | −46.9978 | − | 165.707i | −0.228145 | − | 0.804401i | ||||
\(207\) | 174.257i | 0.841823i | ||||||||
\(208\) | −143.207 | + | 285.202i | −0.688494 | + | 1.37116i | ||||
\(209\) | 203.226 | 0.972375 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 107.401i | 0.509007i | 0.967072 | + | 0.254504i | \(0.0819121\pi\) | ||||
−0.967072 | + | 0.254504i | \(0.918088\pi\) | |||||||
\(212\) | −43.5276 | + | 26.8505i | −0.205319 | + | 0.126653i | ||||
\(213\) | −208.199 | −0.977462 | ||||||||
\(214\) | −55.7425 | − | 196.539i | −0.260479 | − | 0.918407i | ||||
\(215\) | − | 36.9682i | − | 0.171945i | ||||||
\(216\) | 71.2307 | + | 65.2635i | 0.329772 | + | 0.302146i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −292.535 | + | 82.9689i | −1.34190 | + | 0.380591i | ||||
\(219\) | 318.603i | 1.45481i | ||||||||
\(220\) | −43.9735 | − | 71.2858i | −0.199879 | − | 0.324026i | ||||
\(221\) | −94.4620 | −0.427430 | ||||||||
\(222\) | 68.2613 | + | 240.678i | 0.307483 | + | 1.08414i | ||||
\(223\) | 349.685i | 1.56809i | 0.620702 | + | 0.784047i | \(0.286848\pi\) | ||||
−0.620702 | + | 0.784047i | \(0.713152\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 269.612 | 1.19827 | ||||||||
\(226\) | 323.466 | − | 91.7417i | 1.43127 | − | 0.405937i | ||||
\(227\) | − | 18.3421i | − | 0.0808020i | −0.999184 | − | 0.0404010i | \(-0.987136\pi\) | ||
0.999184 | − | 0.0404010i | \(-0.0128635\pi\) | |||||||
\(228\) | 205.426 | − | 126.719i | 0.900990 | − | 0.555786i | ||||
\(229\) | −68.5444 | −0.299320 | −0.149660 | − | 0.988737i | \(-0.547818\pi\) | ||||
−0.149660 | + | 0.988737i | \(0.547818\pi\) | |||||||
\(230\) | −11.1593 | − | 39.3460i | −0.0485188 | − | 0.171070i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −33.5484 | + | 36.6159i | −0.144605 | + | 0.157827i | ||||
\(233\) | 61.4788 | 0.263858 | 0.131929 | − | 0.991259i | \(-0.457883\pi\) | ||||
0.131929 | + | 0.991259i | \(0.457883\pi\) | |||||||
\(234\) | −447.376 | + | 126.885i | −1.91186 | + | 0.542244i | ||||
\(235\) | − | 42.3692i | − | 0.180295i | ||||||
\(236\) | 60.5418 | + | 98.1449i | 0.256533 | + | 0.415868i | ||||
\(237\) | 151.684 | 0.640019 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 204.645i | − | 0.856256i | −0.903718 | − | 0.428128i | \(-0.859173\pi\) | ||
0.903718 | − | 0.428128i | \(-0.140827\pi\) | |||||||
\(240\) | −88.8987 | − | 44.6382i | −0.370411 | − | 0.185993i | ||||
\(241\) | 389.266 | 1.61521 | 0.807606 | − | 0.589723i | \(-0.200763\pi\) | ||||
0.807606 | + | 0.589723i | \(0.200763\pi\) | |||||||
\(242\) | 218.025 | − | 61.8364i | 0.900931 | − | 0.255522i | ||||
\(243\) | − | 336.059i | − | 1.38296i | ||||||
\(244\) | −22.2107 | + | 13.7009i | −0.0910276 | + | 0.0561514i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −27.5469 | − | 97.1258i | −0.111979 | − | 0.394820i | ||||
\(247\) | 264.813i | 1.07212i | ||||||||
\(248\) | 109.350 | + | 100.189i | 0.440927 | + | 0.403989i | ||||
\(249\) | −724.025 | −2.90773 | ||||||||
\(250\) | −126.678 | + | 35.9284i | −0.506711 | + | 0.143714i | ||||
\(251\) | − | 115.082i | − | 0.458494i | −0.973368 | − | 0.229247i | \(-0.926374\pi\) | ||
0.973368 | − | 0.229247i | \(-0.0736264\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 228.824 | 0.904444 | ||||||||
\(254\) | −47.9659 | − | 169.120i | −0.188842 | − | 0.665827i | ||||
\(255\) | − | 29.4442i | − | 0.115468i | ||||||
\(256\) | −152.904 | − | 205.320i | −0.597280 | − | 0.802033i | ||||
\(257\) | −337.233 | −1.31219 | −0.656094 | − | 0.754679i | \(-0.727793\pi\) | ||||
−0.656094 | + | 0.754679i | \(0.727793\pi\) | |||||||
\(258\) | 236.333 | − | 67.0289i | 0.916020 | − | 0.259802i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 92.8886 | − | 57.2994i | 0.357264 | − | 0.220382i | ||||
\(261\) | −72.3623 | −0.277250 | ||||||||
\(262\) | −76.4770 | − | 269.646i | −0.291897 | − | 1.02918i | ||||
\(263\) | 163.729i | 0.622543i | 0.950321 | + | 0.311271i | \(0.100755\pi\) | ||||
−0.950321 | + | 0.311271i | \(0.899245\pi\) | |||||||
\(264\) | 375.991 | − | 410.369i | 1.42421 | − | 1.55443i | ||||
\(265\) | 17.4901 | 0.0660004 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 227.439i | 0.851832i | ||||||||
\(268\) | 216.015 | + | 350.184i | 0.806027 | + | 1.30666i | ||||
\(269\) | −290.784 | −1.08098 | −0.540490 | − | 0.841350i | \(-0.681761\pi\) | ||||
−0.540490 | + | 0.841350i | \(0.681761\pi\) | |||||||
\(270\) | −9.01482 | − | 31.7848i | −0.0333882 | − | 0.117722i | ||||
\(271\) | − | 368.628i | − | 1.36025i | −0.733096 | − | 0.680126i | \(-0.761925\pi\) | ||
0.733096 | − | 0.680126i | \(-0.238075\pi\) | |||||||
\(272\) | 34.0022 | − | 67.7167i | 0.125008 | − | 0.248958i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −228.439 | + | 64.7899i | −0.833719 | + | 0.236460i | ||||
\(275\) | − | 354.038i | − | 1.28741i | ||||||
\(276\) | 231.301 | − | 142.680i | 0.838046 | − | 0.516958i | ||||
\(277\) | 254.425 | 0.918503 | 0.459252 | − | 0.888306i | \(-0.348118\pi\) | ||||
0.459252 | + | 0.888306i | \(0.348118\pi\) | |||||||
\(278\) | 39.3487 | + | 138.737i | 0.141542 | + | 0.499055i | ||||
\(279\) | 216.103i | 0.774564i | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 146.631 | 0.521819 | 0.260909 | − | 0.965363i | \(-0.415978\pi\) | ||||
0.260909 | + | 0.965363i | \(0.415978\pi\) | |||||||
\(282\) | 270.862 | − | 76.8218i | 0.960502 | − | 0.272418i | ||||
\(283\) | − | 191.554i | − | 0.676868i | −0.940990 | − | 0.338434i | \(-0.890103\pi\) | ||
0.940990 | − | 0.338434i | \(-0.109897\pi\) | |||||||
\(284\) | 96.1994 | + | 155.950i | 0.338730 | + | 0.549119i | ||||
\(285\) | −82.5434 | −0.289626 | ||||||||
\(286\) | 166.618 | + | 587.468i | 0.582580 | + | 2.05408i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 70.0762 | − | 366.382i | 0.243320 | − | 1.27216i | ||||
\(289\) | −266.571 | −0.922393 | ||||||||
\(290\) | 16.3389 | − | 4.63403i | 0.0563409 | − | 0.0159794i | ||||
\(291\) | − | 407.842i | − | 1.40152i | ||||||
\(292\) | 238.647 | − | 147.212i | 0.817283 | − | 0.504150i | ||||
\(293\) | −315.496 | −1.07678 | −0.538389 | − | 0.842696i | \(-0.680967\pi\) | ||||
−0.538389 | + | 0.842696i | \(0.680967\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 39.4362i | − | 0.133682i | ||||||
\(296\) | 148.737 | − | 162.337i | 0.502491 | − | 0.548436i | ||||
\(297\) | 184.851 | 0.622393 | ||||||||
\(298\) | −420.031 | + | 119.129i | −1.40950 | + | 0.399763i | ||||
\(299\) | 298.168i | 0.997218i | ||||||||
\(300\) | −220.756 | − | 357.869i | −0.735853 | − | 1.19290i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 98.7454 | + | 348.161i | 0.326972 | + | 1.15285i | ||||
\(303\) | − | 740.295i | − | 2.44322i | ||||||
\(304\) | −189.836 | − | 95.3211i | −0.624459 | − | 0.313556i | ||||
\(305\) | 8.92464 | 0.0292611 | ||||||||
\(306\) | 106.222 | − | 30.1269i | 0.347132 | − | 0.0984538i | ||||
\(307\) | − | 452.508i | − | 1.47397i | −0.675911 | − | 0.736983i | \(-0.736250\pi\) | ||
0.675911 | − | 0.736983i | \(-0.263750\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −391.421 | −1.26673 | ||||||||
\(310\) | −13.8391 | − | 48.7945i | −0.0446423 | − | 0.157402i | ||||
\(311\) | 477.817i | 1.53639i | 0.640217 | + | 0.768194i | \(0.278845\pi\) | ||||
−0.640217 | + | 0.768194i | \(0.721155\pi\) | |||||||
\(312\) | 534.729 | + | 489.933i | 1.71388 | + | 1.57030i | ||||
\(313\) | −209.435 | −0.669122 | −0.334561 | − | 0.942374i | \(-0.608588\pi\) | ||||
−0.334561 | + | 0.942374i | \(0.608588\pi\) | |||||||
\(314\) | −367.660 | + | 104.276i | −1.17089 | + | 0.332089i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −70.0865 | − | 113.618i | −0.221793 | − | 0.359550i | ||||
\(317\) | 1.74873 | 0.00551651 | 0.00275825 | − | 0.999996i | \(-0.499122\pi\) | ||||
0.00275825 | + | 0.999996i | \(0.499122\pi\) | |||||||
\(318\) | 31.7122 | + | 111.812i | 0.0997239 | + | 0.351610i | ||||
\(319\) | 95.0218i | 0.297874i | ||||||||
\(320\) | 7.64020 | + | 87.2140i | 0.0238756 | + | 0.272544i | ||||
\(321\) | −464.251 | −1.44627 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 62.8757i | − | 0.194662i | ||||||
\(324\) | −170.313 | + | 105.059i | −0.525657 | + | 0.324258i | ||||
\(325\) | 461.327 | 1.41947 | ||||||||
\(326\) | 157.026 | + | 553.649i | 0.481675 | + | 1.69831i | ||||
\(327\) | 691.006i | 2.11317i | ||||||||
\(328\) | −60.0230 | + | 65.5111i | −0.182997 | + | 0.199729i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −183.116 | + | 51.9355i | −0.554898 | + | 0.157380i | ||||
\(331\) | 375.049i | 1.13308i | 0.824035 | + | 0.566539i | \(0.191718\pi\) | ||||
−0.824035 | + | 0.566539i | \(0.808282\pi\) | |||||||
\(332\) | 334.539 | + | 542.324i | 1.00765 | + | 1.63351i | ||||
\(333\) | 320.819 | 0.963421 | ||||||||
\(334\) | 68.1376 | + | 240.242i | 0.204005 | + | 0.719288i | ||||
\(335\) | − | 140.710i | − | 0.420029i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 254.740 | 0.755906 | 0.377953 | − | 0.925825i | \(-0.376628\pi\) | ||||
0.377953 | + | 0.925825i | \(0.376628\pi\) | |||||||
\(338\) | −440.322 | + | 124.884i | −1.30273 | + | 0.369480i | ||||
\(339\) | − | 764.070i | − | 2.25389i | ||||||
\(340\) | −22.0549 | + | 13.6048i | −0.0648675 | + | 0.0400142i | ||||
\(341\) | 283.774 | 0.832182 | ||||||||
\(342\) | −84.4570 | − | 297.782i | −0.246950 | − | 0.870707i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −159.406 | − | 146.052i | −0.463390 | − | 0.424570i | ||||
\(345\) | −92.9404 | −0.269392 | ||||||||
\(346\) | −529.528 | + | 150.185i | −1.53043 | + | 0.434061i | ||||
\(347\) | − | 511.422i | − | 1.47384i | −0.675981 | − | 0.736919i | \(-0.736280\pi\) | ||
0.675981 | − | 0.736919i | \(-0.263720\pi\) | |||||||
\(348\) | 59.2497 | + | 96.0502i | 0.170258 | + | 0.276006i | ||||
\(349\) | 383.129 | 1.09779 | 0.548895 | − | 0.835891i | \(-0.315049\pi\) | ||||
0.548895 | + | 0.835891i | \(0.315049\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 240.869i | 0.686236i | ||||||||
\(352\) | −481.111 | − | 92.0199i | −1.36679 | − | 0.261420i | ||||
\(353\) | −217.384 | −0.615819 | −0.307909 | − | 0.951416i | \(-0.599629\pi\) | ||||
−0.307909 | + | 0.951416i | \(0.599629\pi\) | |||||||
\(354\) | 252.111 | − | 71.5038i | 0.712178 | − | 0.201988i | ||||
\(355\) | − | 62.6632i | − | 0.176516i | ||||||
\(356\) | 170.361 | − | 105.089i | 0.478543 | − | 0.295195i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.05183 | − | 14.2861i | −0.0113180 | − | 0.0399053i | ||||
\(359\) | 483.099i | 1.34568i | 0.739788 | + | 0.672840i | \(0.234926\pi\) | ||||
−0.739788 | + | 0.672840i | \(0.765074\pi\) | |||||||
\(360\) | −86.1786 | + | 94.0581i | −0.239385 | + | 0.261273i | ||||
\(361\) | 184.736 | 0.511733 | ||||||||
\(362\) | 191.569 | − | 54.3328i | 0.529195 | − | 0.150091i | ||||
\(363\) | − | 515.005i | − | 1.41875i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −95.8921 | −0.262718 | ||||||||
\(366\) | 16.1817 | + | 57.0541i | 0.0442123 | + | 0.155886i | ||||
\(367\) | 470.944i | 1.28323i | 0.767028 | + | 0.641614i | \(0.221735\pi\) | ||||
−0.767028 | + | 0.641614i | \(0.778265\pi\) | |||||||
\(368\) | −213.747 | − | 107.328i | −0.580834 | − | 0.291651i | ||||
\(369\) | −129.467 | −0.350858 | ||||||||
\(370\) | −72.4386 | + | 20.5451i | −0.195780 | + | 0.0555272i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 286.845 | − | 176.944i | 0.771089 | − | 0.475655i | ||||
\(373\) | −179.535 | −0.481326 | −0.240663 | − | 0.970609i | \(-0.577365\pi\) | ||||
−0.240663 | + | 0.970609i | \(0.577365\pi\) | |||||||
\(374\) | −39.5608 | − | 139.485i | −0.105778 | − | 0.372955i | ||||
\(375\) | 299.230i | 0.797946i | ||||||||
\(376\) | −182.695 | − | 167.390i | −0.485892 | − | 0.445187i | ||||
\(377\) | −123.818 | −0.328429 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 87.8468i | 0.231786i | 0.993262 | + | 0.115893i | \(0.0369729\pi\) | ||||
−0.993262 | + | 0.115893i | \(0.963027\pi\) | |||||||
\(380\) | 38.1395 | + | 61.8284i | 0.100367 | + | 0.162706i | ||||
\(381\) | −399.484 | −1.04851 | ||||||||
\(382\) | −31.7639 | − | 111.994i | −0.0831515 | − | 0.293179i | ||||
\(383\) | − | 653.584i | − | 1.70649i | −0.521513 | − | 0.853243i | \(-0.674632\pi\) | ||
0.521513 | − | 0.853243i | \(-0.325368\pi\) | |||||||
\(384\) | −543.696 | + | 206.975i | −1.41588 | + | 0.538998i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 199.879 | − | 56.6898i | 0.517822 | − | 0.146865i | ||||
\(387\) | − | 315.027i | − | 0.814024i | ||||||
\(388\) | −305.490 | + | 188.445i | −0.787346 | + | 0.485684i | ||||
\(389\) | −168.861 | −0.434090 | −0.217045 | − | 0.976162i | \(-0.569642\pi\) | ||||
−0.217045 | + | 0.976162i | \(0.569642\pi\) | |||||||
\(390\) | −67.6743 | − | 238.609i | −0.173524 | − | 0.611817i | ||||
\(391\) | − | 70.7954i | − | 0.181062i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −636.939 | −1.62071 | ||||||||
\(394\) | 348.650 | − | 98.8843i | 0.884899 | − | 0.250975i | ||||
\(395\) | 45.6535i | 0.115578i | ||||||||
\(396\) | −374.723 | − | 607.468i | −0.946271 | − | 1.53401i | ||||
\(397\) | 691.521 | 1.74187 | 0.870934 | − | 0.491401i | \(-0.163515\pi\) | ||||
0.870934 | + | 0.491401i | \(0.163515\pi\) | |||||||
\(398\) | −118.922 | − | 419.300i | −0.298799 | − | 1.05352i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −166.058 | + | 330.710i | −0.415144 | + | 0.826775i | ||||
\(401\) | −399.834 | −0.997091 | −0.498546 | − | 0.866864i | \(-0.666132\pi\) | ||||
−0.498546 | + | 0.866864i | \(0.666132\pi\) | |||||||
\(402\) | 899.541 | − | 255.128i | 2.23766 | − | 0.634647i | ||||
\(403\) | 369.770i | 0.917544i | ||||||||
\(404\) | −554.511 | + | 342.057i | −1.37255 | + | 0.846675i | ||||
\(405\) | 68.4345 | 0.168974 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | − | 421.281i | − | 1.03509i | ||||||
\(408\) | −126.963 | − | 116.327i | −0.311184 | − | 0.285115i | ||||
\(409\) | −111.079 | −0.271586 | −0.135793 | − | 0.990737i | \(-0.543358\pi\) | ||||
−0.135793 | + | 0.990737i | \(0.543358\pi\) | |||||||
\(410\) | 29.2326 | − | 8.29096i | 0.0712990 | − | 0.0202219i | ||||
\(411\) | 539.603i | 1.31290i | ||||||||
\(412\) | 180.858 | + | 293.190i | 0.438975 | + | 0.711626i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −95.0951 | − | 335.290i | −0.229698 | − | 0.809879i | ||||
\(415\) | − | 217.915i | − | 0.525095i | ||||||
\(416\) | 119.906 | − | 626.910i | 0.288236 | − | 1.50699i | ||||
\(417\) | 327.715 | 0.785888 | ||||||||
\(418\) | −391.029 | + | 110.904i | −0.935477 | + | 0.265320i | ||||
\(419\) | 641.986i | 1.53219i | 0.642729 | + | 0.766094i | \(0.277802\pi\) | ||||
−0.642729 | + | 0.766094i | \(0.722198\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 151.970 | 0.360975 | 0.180487 | − | 0.983577i | \(-0.442233\pi\) | ||||
0.180487 | + | 0.983577i | \(0.442233\pi\) | |||||||
\(422\) | −58.6102 | − | 206.650i | −0.138887 | − | 0.489693i | ||||
\(423\) | − | 361.053i | − | 0.853553i | ||||||
\(424\) | 69.0991 | − | 75.4170i | 0.162970 | − | 0.177870i | ||||
\(425\) | −109.535 | −0.257729 | ||||||||
\(426\) | 400.598 | − | 113.618i | 0.940372 | − | 0.266709i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 214.509 | + | 347.743i | 0.501190 | + | 0.812484i | ||||
\(429\) | 1387.68 | 3.23468 | ||||||||
\(430\) | 20.1741 | + | 71.1308i | 0.0469166 | + | 0.165421i | ||||
\(431\) | 459.854i | 1.06695i | 0.845817 | + | 0.533473i | \(0.179113\pi\) | ||||
−0.845817 | + | 0.533473i | \(0.820887\pi\) | |||||||
\(432\) | −172.671 | − | 86.7023i | −0.399701 | − | 0.200700i | ||||
\(433\) | −534.370 | −1.23411 | −0.617056 | − | 0.786919i | \(-0.711675\pi\) | ||||
−0.617056 | + | 0.786919i | \(0.711675\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | − | 38.5945i | − | 0.0887231i | ||||||
\(436\) | 517.591 | − | 319.282i | 1.18714 | − | 0.732299i | ||||
\(437\) | −198.466 | −0.454156 | ||||||||
\(438\) | −173.867 | − | 613.027i | −0.396956 | − | 1.39960i | ||||
\(439\) | − | 201.259i | − | 0.458449i | −0.973374 | − | 0.229224i | \(-0.926381\pi\) | ||
0.973374 | − | 0.229224i | \(-0.0736189\pi\) | |||||||
\(440\) | 123.512 | + | 113.165i | 0.280708 | + | 0.257192i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 181.755 | − | 51.5495i | 0.411211 | − | 0.116628i | ||||
\(443\) | 73.4928i | 0.165898i | 0.996554 | + | 0.0829490i | \(0.0264339\pi\) | ||||
−0.996554 | + | 0.0829490i | \(0.973566\pi\) | |||||||
\(444\) | −262.684 | − | 425.840i | −0.591631 | − | 0.959099i | ||||
\(445\) | −68.4539 | −0.153829 | ||||||||
\(446\) | −190.829 | − | 672.832i | −0.427867 | − | 1.50859i | ||||
\(447\) | 992.169i | 2.21962i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −41.4382 | −0.0922899 | −0.0461450 | − | 0.998935i | \(-0.514694\pi\) | ||||
−0.0461450 | + | 0.998935i | \(0.514694\pi\) | |||||||
\(450\) | −518.762 | + | 147.131i | −1.15280 | + | 0.326959i | ||||
\(451\) | 170.008i | 0.376958i | ||||||||
\(452\) | −572.320 | + | 353.042i | −1.26619 | + | 0.781066i | ||||
\(453\) | 822.401 | 1.81545 | ||||||||
\(454\) | 10.0096 | + | 35.2921i | 0.0220475 | + | 0.0777359i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −326.109 | + | 355.926i | −0.715150 | + | 0.780539i | ||||
\(457\) | 270.205 | 0.591258 | 0.295629 | − | 0.955303i | \(-0.404471\pi\) | ||||
0.295629 | + | 0.955303i | \(0.404471\pi\) | |||||||
\(458\) | 131.887 | − | 37.4058i | 0.287962 | − | 0.0816720i | ||||
\(459\) | − | 57.1905i | − | 0.124598i | ||||||
\(460\) | 42.9435 | + | 69.6161i | 0.0933554 | + | 0.151339i | ||||
\(461\) | 735.133 | 1.59465 | 0.797324 | − | 0.603552i | \(-0.206248\pi\) | ||||
0.797324 | + | 0.603552i | \(0.206248\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 742.356i | − | 1.60336i | −0.597753 | − | 0.801681i | \(-0.703940\pi\) | ||
0.597753 | − | 0.801681i | \(-0.296060\pi\) | |||||||
\(464\) | 44.5690 | − | 88.7608i | 0.0960538 | − | 0.191295i | ||||
\(465\) | −115.259 | −0.247869 | ||||||||
\(466\) | −118.292 | + | 33.5500i | −0.253845 | + | 0.0719957i | ||||
\(467\) | − | 402.152i | − | 0.861140i | −0.902557 | − | 0.430570i | \(-0.858313\pi\) | ||
0.902557 | − | 0.430570i | \(-0.141687\pi\) | |||||||
\(468\) | 791.557 | − | 488.281i | 1.69136 | − | 1.04334i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 23.1216 | + | 81.5230i | 0.0491949 | + | 0.173453i | ||||
\(471\) | 868.462i | 1.84387i | ||||||||
\(472\) | −170.048 | − | 155.803i | −0.360272 | − | 0.330091i | ||||
\(473\) | −413.675 | −0.874577 | ||||||||
\(474\) | −291.857 | + | 82.7767i | −0.615733 | + | 0.174634i | ||||
\(475\) | 307.068i | 0.646459i | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 149.043 | 0.312460 | ||||||||
\(478\) | 111.678 | + | 393.760i | 0.233636 | + | 0.823765i | ||||
\(479\) | − | 356.741i | − | 0.744763i | −0.928080 | − | 0.372381i | \(-0.878541\pi\) | ||
0.928080 | − | 0.372381i | \(-0.121459\pi\) | |||||||
\(480\) | 195.411 | + | 37.3753i | 0.407105 | + | 0.0778651i | ||||
\(481\) | 548.947 | 1.14126 | ||||||||
\(482\) | −748.990 | + | 212.429i | −1.55392 | + | 0.440724i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −385.759 | + | 237.960i | −0.797024 | + | 0.491653i | ||||
\(485\) | 122.751 | 0.253095 | ||||||||
\(486\) | 183.393 | + | 646.614i | 0.377351 | + | 1.33048i | ||||
\(487\) | 121.123i | 0.248713i | 0.992238 | + | 0.124356i | \(0.0396866\pi\) | ||||
−0.992238 | + | 0.124356i | \(0.960313\pi\) | |||||||
\(488\) | 35.2590 | − | 38.4829i | 0.0722521 | − | 0.0788584i | ||||
\(489\) | 1307.79 | 2.67442 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 18.4535i | 0.0375835i | 0.999823 | + | 0.0187917i | \(0.00598195\pi\) | ||||
−0.999823 | + | 0.0187917i | \(0.994018\pi\) | |||||||
\(492\) | 106.006 | + | 171.848i | 0.215460 | + | 0.349284i | ||||
\(493\) | 29.3986 | 0.0596320 | ||||||||
\(494\) | −144.513 | − | 509.529i | −0.292536 | − | 1.03143i | ||||
\(495\) | 244.090i | 0.493112i | ||||||||
\(496\) | −265.076 | − | 133.101i | −0.534427 | − | 0.268349i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 1393.10 | − | 395.112i | 2.79739 | − | 0.793398i | ||||
\(499\) | − | 149.571i | − | 0.299742i | −0.988706 | − | 0.149871i | \(-0.952114\pi\) | ||
0.988706 | − | 0.149871i | \(-0.0478859\pi\) | |||||||
\(500\) | 224.135 | − | 138.260i | 0.448270 | − | 0.276521i | ||||
\(501\) | 567.484 | 1.13270 | ||||||||
\(502\) | 62.8022 | + | 221.430i | 0.125104 | + | 0.441097i | ||||
\(503\) | − | 651.239i | − | 1.29471i | −0.762189 | − | 0.647354i | \(-0.775875\pi\) | ||
0.762189 | − | 0.647354i | \(-0.224125\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 222.812 | 0.441211 | ||||||||
\(506\) | −440.283 | + | 124.873i | −0.870124 | + | 0.246785i | ||||
\(507\) | 1040.10i | 2.05148i | ||||||||
\(508\) | 184.583 | + | 299.230i | 0.363353 | + | 0.589035i | ||||
\(509\) | −817.972 | −1.60702 | −0.803509 | − | 0.595293i | \(-0.797036\pi\) | ||||
−0.803509 | + | 0.595293i | \(0.797036\pi\) | |||||||
\(510\) | 16.0682 | + | 56.6539i | 0.0315063 | + | 0.111086i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 406.250 | + | 311.617i | 0.793457 | + | 0.608627i | ||||
\(513\) | −160.327 | −0.312528 | ||||||||
\(514\) | 648.872 | − | 184.033i | 1.26240 | − | 0.358041i | ||||
\(515\) | − | 117.809i | − | 0.228754i | ||||||
\(516\) | −418.152 | + | 257.942i | −0.810372 | + | 0.499887i | ||||
\(517\) | −474.113 | −0.917046 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 1250.82i | 2.41005i | ||||||||
\(520\) | −147.458 | + | 160.941i | −0.283574 | + | 0.309502i | ||||
\(521\) | 173.603 | 0.333211 | 0.166606 | − | 0.986024i | \(-0.446719\pi\) | ||||
0.166606 | + | 0.986024i | \(0.446719\pi\) | |||||||
\(522\) | 139.233 | − | 39.4893i | 0.266730 | − | 0.0756500i | ||||
\(523\) | 680.630i | 1.30139i | 0.759337 | + | 0.650697i | \(0.225523\pi\) | ||||
−0.759337 | + | 0.650697i | \(0.774477\pi\) | |||||||
\(524\) | 294.300 | + | 477.093i | 0.561642 | + | 0.910483i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −89.3494 | − | 315.032i | −0.169866 | − | 0.598920i | ||||
\(527\) | − | 87.7961i | − | 0.166596i | ||||||
\(528\) | −499.503 | + | 994.779i | −0.946028 | + | 1.88405i | ||||
\(529\) | 305.535 | 0.577571 | ||||||||
\(530\) | −33.6528 | + | 9.54463i | −0.0634959 | + | 0.0180087i | ||||
\(531\) | − | 336.059i | − | 0.632879i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −221.528 | −0.415624 | ||||||||
\(534\) | −124.117 | − | 437.618i | −0.232429 | − | 0.819509i | ||||
\(535\) | − | 139.729i | − | 0.261175i | ||||||
\(536\) | −606.738 | − | 555.910i | −1.13197 | − | 1.03714i | ||||
\(537\) | −33.7456 | −0.0628410 | ||||||||
\(538\) | 559.499 | − | 158.685i | 1.03996 | − | 0.294954i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 34.6910 | + | 56.2379i | 0.0642426 | + | 0.104144i | ||||
\(541\) | −313.190 | −0.578909 | −0.289454 | − | 0.957192i | \(-0.593474\pi\) | ||||
−0.289454 | + | 0.957192i | \(0.593474\pi\) | |||||||
\(542\) | 201.166 | + | 709.280i | 0.371156 | + | 1.30864i | ||||
\(543\) | − | 452.510i | − | 0.833352i | ||||||
\(544\) | −28.4698 | + | 148.850i | −0.0523342 | + | 0.273621i | ||||
\(545\) | −207.977 | −0.381609 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 352.784i | 0.644944i | 0.946579 | + | 0.322472i | \(0.104514\pi\) | ||||
−0.946579 | + | 0.322472i | \(0.895486\pi\) | |||||||
\(548\) | 404.184 | − | 249.326i | 0.737563 | − | 0.454974i | ||||
\(549\) | 76.0520 | 0.138528 | ||||||||
\(550\) | 193.204 | + | 681.207i | 0.351280 | + | 1.23856i | ||||
\(551\) | − | 82.4153i | − | 0.149574i | ||||||
\(552\) | −367.185 | + | 400.757i | −0.665190 | + | 0.726010i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −489.542 | + | 138.844i | −0.883650 | + | 0.250621i | ||||
\(555\) | 171.109i | 0.308305i | ||||||||
\(556\) | −151.422 | − | 245.472i | −0.272342 | − | 0.441497i | ||||
\(557\) | −135.925 | −0.244030 | −0.122015 | − | 0.992528i | \(-0.538936\pi\) | ||||
−0.122015 | + | 0.992528i | \(0.538936\pi\) | |||||||
\(558\) | −117.931 | − | 415.806i | −0.211346 | − | 0.745173i | ||||
\(559\) | − | 539.037i | − | 0.964288i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −329.482 | −0.587312 | ||||||||
\(562\) | −282.134 | + | 80.0190i | −0.502018 | + | 0.142383i | ||||
\(563\) | − | 160.363i | − | 0.284836i | −0.989807 | − | 0.142418i | \(-0.954512\pi\) | ||
0.989807 | − | 0.142418i | \(-0.0454878\pi\) | |||||||
\(564\) | −479.244 | + | 295.627i | −0.849723 | + | 0.524162i | ||||
\(565\) | 229.967 | 0.407022 | ||||||||
\(566\) | 104.534 | + | 368.570i | 0.184689 | + | 0.651184i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −270.203 | − | 247.567i | −0.475709 | − | 0.435857i | ||||
\(569\) | 611.297 | 1.07434 | 0.537168 | − | 0.843475i | \(-0.319494\pi\) | ||||
0.537168 | + | 0.843475i | \(0.319494\pi\) | |||||||
\(570\) | 158.822 | − | 45.0453i | 0.278636 | − | 0.0790268i | ||||
\(571\) | − | 286.952i | − | 0.502542i | −0.967917 | − | 0.251271i | \(-0.919151\pi\) | ||
0.967917 | − | 0.251271i | \(-0.0808486\pi\) | |||||||
\(572\) | −641.182 | − | 1039.43i | −1.12095 | − | 1.81718i | ||||
\(573\) | −264.545 | −0.461685 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 345.746i | 0.601297i | ||||||||
\(576\) | 65.1066 | + | 743.201i | 0.113032 | + | 1.29028i | ||||
\(577\) | 530.428 | 0.919286 | 0.459643 | − | 0.888104i | \(-0.347977\pi\) | ||||
0.459643 | + | 0.888104i | \(0.347977\pi\) | |||||||
\(578\) | 512.912 | − | 145.472i | 0.887392 | − | 0.251682i | ||||
\(579\) | − | 472.141i | − | 0.815442i | ||||||
\(580\) | −28.9089 | + | 17.8328i | −0.0498429 | + | 0.0307462i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 222.566 | + | 784.733i | 0.382416 | + | 1.34834i | ||||
\(583\) | − | 195.715i | − | 0.335703i | ||||||
\(584\) | −378.846 | + | 413.485i | −0.648709 | + | 0.708022i | ||||
\(585\) | −318.061 | −0.543693 | ||||||||
\(586\) | 607.049 | − | 172.171i | 1.03592 | − | 0.293808i | ||||
\(587\) | 10.9359i | 0.0186301i | 0.999957 | + | 0.00931506i | \(0.00296512\pi\) | ||||
−0.999957 | + | 0.00931506i | \(0.997035\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −246.126 | −0.417871 | ||||||||
\(590\) | 21.5210 | + | 75.8796i | 0.0364763 | + | 0.128609i | ||||
\(591\) | − | 823.558i | − | 1.39350i | ||||||
\(592\) | −197.597 | + | 393.522i | −0.333779 | + | 0.664734i | ||||
\(593\) | −119.459 | −0.201449 | −0.100725 | − | 0.994914i | \(-0.532116\pi\) | ||||
−0.100725 | + | 0.994914i | \(0.532116\pi\) | |||||||
\(594\) | −355.673 | + | 100.876i | −0.598776 | + | 0.169825i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 743.175 | − | 458.436i | 1.24694 | − | 0.769188i | ||||
\(597\) | −990.441 | −1.65903 | ||||||||
\(598\) | −162.715 | − | 573.708i | −0.272099 | − | 0.959378i | ||||
\(599\) | − | 1020.35i | − | 1.70342i | −0.524014 | − | 0.851710i | \(-0.675566\pi\) | ||
0.524014 | − | 0.851710i | \(-0.324434\pi\) | |||||||
\(600\) | 620.053 | + | 568.110i | 1.03342 | + | 0.946849i | ||||
\(601\) | 109.785 | 0.182671 | 0.0913356 | − | 0.995820i | \(-0.470886\pi\) | ||||
0.0913356 | + | 0.995820i | \(0.470886\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | − | 1199.07i | − | 1.98851i | ||||||
\(604\) | −379.994 | − | 616.012i | −0.629129 | − | 1.01989i | ||||
\(605\) | 155.004 | 0.256206 | ||||||||
\(606\) | 403.991 | + | 1424.41i | 0.666652 | + | 2.35051i | ||||
\(607\) | 649.557i | 1.07011i | 0.844817 | + | 0.535055i | \(0.179709\pi\) | ||||
−0.844817 | + | 0.535055i | \(0.820291\pi\) | |||||||
\(608\) | 417.283 | + | 79.8117i | 0.686320 | + | 0.131269i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −17.1720 | + | 4.87032i | −0.0281508 | + | 0.00798413i | ||||
\(611\) | − | 617.790i | − | 1.01111i | ||||||
\(612\) | −187.943 | + | 115.935i | −0.307096 | + | 0.189436i | ||||
\(613\) | 802.148 | 1.30856 | 0.654281 | − | 0.756252i | \(-0.272971\pi\) | ||||
0.654281 | + | 0.756252i | \(0.272971\pi\) | |||||||
\(614\) | 246.941 | + | 870.674i | 0.402184 | + | 1.41804i | ||||
\(615\) | − | 69.0513i | − | 0.112278i | ||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 1151.11 | 1.86565 | 0.932825 | − | 0.360329i | \(-0.117336\pi\) | ||||
0.932825 | + | 0.360329i | \(0.117336\pi\) | |||||||
\(618\) | 753.136 | − | 213.605i | 1.21867 | − | 0.345639i | ||||
\(619\) | − | 223.829i | − | 0.361598i | −0.983520 | − | 0.180799i | \(-0.942132\pi\) | ||
0.983520 | − | 0.180799i | \(-0.0578683\pi\) | |||||||
\(620\) | 53.2559 | + | 86.3337i | 0.0858967 | + | 0.139248i | ||||
\(621\) | −180.521 | −0.290694 | ||||||||
\(622\) | −260.752 | − | 919.371i | −0.419216 | − | 1.47809i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −1296.24 | − | 650.874i | −2.07731 | − | 1.04307i | ||||
\(625\) | 488.157 | 0.781052 | ||||||||
\(626\) | 402.976 | − | 114.292i | 0.643732 | − | 0.182575i | ||||
\(627\) | 923.663i | 1.47315i | ||||||||
\(628\) | 650.513 | − | 401.276i | 1.03585 | − | 0.638975i | ||||
\(629\) | −130.339 | −0.207216 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 385.557i | − | 0.611026i | −0.952188 | − | 0.305513i | \(-0.901172\pi\) | ||
0.952188 | − | 0.305513i | \(-0.0988279\pi\) | |||||||
\(632\) | 196.857 | + | 180.366i | 0.311483 | + | 0.285389i | ||||
\(633\) | −488.135 | −0.771146 | ||||||||
\(634\) | −3.36475 | + | 0.954312i | −0.00530718 | + | 0.00150522i | ||||
\(635\) | − | 120.235i | − | 0.189347i | ||||||
\(636\) | −122.035 | − | 197.833i | −0.191880 | − | 0.311058i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −51.8550 | − | 182.832i | −0.0812774 | − | 0.286571i | ||||
\(639\) | − | 533.989i | − | 0.835664i | ||||||
\(640\) | −62.2947 | − | 163.640i | −0.0973355 | − | 0.255687i | ||||
\(641\) | −289.861 | −0.452201 | −0.226100 | − | 0.974104i | \(-0.572598\pi\) | ||||
−0.226100 | + | 0.974104i | \(0.572598\pi\) | |||||||
\(642\) | 893.270 | − | 253.350i | 1.39139 | − | 0.394625i | ||||
\(643\) | 525.629i | 0.817463i | 0.912655 | + | 0.408731i | \(0.134029\pi\) | ||||
−0.912655 | + | 0.408731i | \(0.865971\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 168.020 | 0.260497 | ||||||||
\(646\) | 34.3123 | + | 120.980i | 0.0531150 | + | 0.187275i | ||||
\(647\) | 95.6042i | 0.147765i | 0.997267 | + | 0.0738827i | \(0.0235390\pi\) | ||||
−0.997267 | + | 0.0738827i | \(0.976461\pi\) | |||||||
\(648\) | 270.368 | − | 295.088i | 0.417234 | − | 0.455383i | ||||
\(649\) | −441.292 | −0.679958 | ||||||||
\(650\) | −887.643 | + | 251.754i | −1.36560 | + | 0.387313i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −604.271 | − | 979.589i | −0.926796 | − | 1.50244i | ||||
\(653\) | −627.508 | −0.960962 | −0.480481 | − | 0.877005i | \(-0.659538\pi\) | ||||
−0.480481 | + | 0.877005i | \(0.659538\pi\) | |||||||
\(654\) | −377.093 | − | 1329.57i | −0.576595 | − | 2.03298i | ||||
\(655\) | − | 191.704i | − | 0.292677i | ||||||
\(656\) | 79.7404 | − | 158.806i | 0.121555 | − | 0.242082i | ||||
\(657\) | −817.152 | −1.24376 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 220.070i | 0.333945i | 0.985962 | + | 0.166972i | \(0.0533991\pi\) | ||||
−0.985962 | + | 0.166972i | \(0.946601\pi\) | |||||||
\(660\) | 323.994 | − | 199.859i | 0.490900 | − | 0.302817i | ||||
\(661\) | −743.710 | −1.12513 | −0.562564 | − | 0.826754i | \(-0.690185\pi\) | ||||
−0.562564 | + | 0.826754i | \(0.690185\pi\) | |||||||
\(662\) | −204.670 | − | 721.635i | −0.309170 | − | 1.09008i | ||||
\(663\) | − | 429.329i | − | 0.647556i | ||||||
\(664\) | −939.644 | − | 860.927i | −1.41513 | − | 1.29658i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −617.291 | + | 175.076i | −0.926863 | + | 0.262877i | ||||
\(667\) | − | 92.7962i | − | 0.139125i | ||||||
\(668\) | −262.208 | − | 425.068i | −0.392527 | − | 0.636330i | ||||
\(669\) | −1589.32 | −2.37566 | ||||||||
\(670\) | 76.7876 | + | 270.741i | 0.114608 | + | 0.404091i | ||||
\(671\) | − | 99.8669i | − | 0.148833i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1017.05 | −1.51122 | −0.755610 | − | 0.655022i | \(-0.772659\pi\) | ||||
−0.755610 | + | 0.655022i | \(0.772659\pi\) | |||||||
\(674\) | −490.148 | + | 139.016i | −0.727223 | + | 0.206255i | ||||
\(675\) | 279.303i | 0.413782i | ||||||||
\(676\) | 779.076 | − | 480.582i | 1.15248 | − | 0.710920i | ||||
\(677\) | −861.905 | −1.27312 | −0.636562 | − | 0.771225i | \(-0.719644\pi\) | ||||
−0.636562 | + | 0.771225i | \(0.719644\pi\) | |||||||
\(678\) | 416.966 | + | 1470.15i | 0.614993 | + | 2.16837i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 35.0117 | − | 38.2129i | 0.0514878 | − | 0.0561955i | ||||
\(681\) | 83.3646 | 0.122415 | ||||||||
\(682\) | −546.012 | + | 154.860i | −0.800604 | + | 0.227068i | ||||
\(683\) | 635.790i | 0.930879i | 0.885080 | + | 0.465440i | \(0.154104\pi\) | ||||
−0.885080 | + | 0.465440i | \(0.845896\pi\) | |||||||
\(684\) | 325.009 | + | 526.875i | 0.475159 | + | 0.770285i | ||||
\(685\) | −162.408 | −0.237092 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | − | 311.534i | − | 0.453470i | ||||||
\(688\) | 386.418 | + | 194.030i | 0.561654 | + | 0.282020i | ||||
\(689\) | 255.025 | 0.370138 | ||||||||
\(690\) | 178.827 | − | 50.7191i | 0.259170 | − | 0.0735059i | ||||
\(691\) | − | 214.780i | − | 0.310825i | −0.987850 | − | 0.155412i | \(-0.950329\pi\) | ||
0.987850 | − | 0.155412i | \(-0.0496706\pi\) | |||||||
\(692\) | 936.911 | − | 577.944i | 1.35392 | − | 0.835180i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 279.091 | + | 984.031i | 0.402149 | + | 1.41791i | ||||
\(695\) | 98.6347i | 0.141920i | ||||||||
\(696\) | −166.419 | − | 152.478i | −0.239108 | − | 0.219077i | ||||
\(697\) | 52.5983 | 0.0754639 | ||||||||
\(698\) | −737.181 | + | 209.080i | −1.05613 | + | 0.299541i | ||||
\(699\) | 279.421i | 0.399744i | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −271.746 | −0.387655 | −0.193828 | − | 0.981036i | \(-0.562090\pi\) | ||||
−0.193828 | + | 0.981036i | \(0.562090\pi\) | |||||||
\(702\) | −131.446 | − | 463.458i | −0.187245 | − | 0.660196i | ||||
\(703\) | 365.390i | 0.519758i | ||||||||
\(704\) | 975.927 | − | 85.4941i | 1.38626 | − | 0.121440i | ||||
\(705\) | 192.568 | 0.273146 | ||||||||
\(706\) | 418.271 | − | 118.630i | 0.592451 | − | 0.168031i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −446.068 | + | 275.162i | −0.630040 | + | 0.388647i | ||||
\(709\) | −616.894 | −0.870090 | −0.435045 | − | 0.900409i | \(-0.643267\pi\) | ||||
−0.435045 | + | 0.900409i | \(0.643267\pi\) | |||||||
\(710\) | 34.1963 | + | 120.571i | 0.0481638 | + | 0.169818i | ||||
\(711\) | 389.040i | 0.547173i | ||||||||
\(712\) | −270.445 | + | 295.172i | −0.379838 | + | 0.414567i | ||||
\(713\) | −277.127 | −0.388678 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 417.658i | 0.584137i | ||||||||
\(716\) | 15.5923 | + | 25.2768i | 0.0217770 | + | 0.0353029i | ||||
\(717\) | 930.112 | 1.29723 | ||||||||
\(718\) | −263.635 | − | 929.536i | −0.367180 | − | 1.29462i | ||||
\(719\) | 55.3428i | 0.0769719i | 0.999259 | + | 0.0384859i | \(0.0122535\pi\) | ||||
−0.999259 | + | 0.0384859i | \(0.987747\pi\) | |||||||
\(720\) | 114.488 | − | 228.007i | 0.159011 | − | 0.316677i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −355.451 | + | 100.813i | −0.492315 | + | 0.139631i | ||||
\(723\) | 1769.21i | 2.44704i | ||||||||
\(724\) | −338.949 | + | 209.084i | −0.468161 | + | 0.288790i | ||||
\(725\) | −143.575 | −0.198034 | ||||||||
\(726\) | 281.046 | + | 990.925i | 0.387116 | + | 1.36491i | ||||
\(727\) | − | 1046.07i | − | 1.43888i | −0.694554 | − | 0.719440i | \(-0.744398\pi\) | ||
0.694554 | − | 0.719440i | \(-0.255602\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1077.14 | 1.47756 | ||||||||
\(730\) | 184.507 | − | 52.3299i | 0.252749 | − | 0.0716848i | ||||
\(731\) | 127.986i | 0.175083i | ||||||||
\(732\) | −62.2708 | − | 100.948i | −0.0850693 | − | 0.137907i | ||||
\(733\) | −851.328 | −1.16143 | −0.580715 | − | 0.814107i | \(-0.697227\pi\) | ||||
−0.580715 | + | 0.814107i | \(0.697227\pi\) | |||||||
\(734\) | −257.002 | − | 906.148i | −0.350139 | − | 1.23453i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 469.843 | + | 89.8646i | 0.638373 | + | 0.122099i | ||||
\(737\) | −1574.55 | −2.13643 | ||||||||
\(738\) | 249.108 | − | 70.6521i | 0.337545 | − | 0.0957345i | ||||
\(739\) | 789.585i | 1.06845i | 0.845342 | + | 0.534226i | \(0.179397\pi\) | ||||
−0.845342 | + | 0.534226i | \(0.820603\pi\) | |||||||
\(740\) | 128.168 | − | 79.0618i | 0.173200 | − | 0.106840i | ||||
\(741\) | −1203.57 | −1.62426 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 892.788i | 1.20160i | 0.799400 | + | 0.600799i | \(0.205151\pi\) | ||||
−0.799400 | + | 0.600799i | \(0.794849\pi\) | |||||||
\(744\) | −455.360 | + | 496.995i | −0.612043 | + | 0.668004i | ||||
\(745\) | −298.620 | −0.400832 | ||||||||
\(746\) | 345.444 | − | 97.9751i | 0.463062 | − | 0.131334i | ||||
\(747\) | − | 1856.98i | − | 2.48591i | ||||||
\(748\) | 152.239 | + | 246.795i | 0.203527 | + | 0.329940i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −163.294 | − | 575.750i | −0.217726 | − | 0.767667i | ||||
\(751\) | − | 406.211i | − | 0.540894i | −0.962735 | − | 0.270447i | \(-0.912829\pi\) | ||
0.962735 | − | 0.270447i | \(-0.0871715\pi\) | |||||||
\(752\) | 442.873 | + | 222.378i | 0.588928 | + | 0.295715i | ||||
\(753\) | 523.048 | 0.694619 | ||||||||
\(754\) | 238.239 | − | 67.5693i | 0.315966 | − | 0.0896145i | ||||
\(755\) | 247.524i | 0.327846i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 89.9062 | 0.118766 | 0.0593832 | − | 0.998235i | \(-0.481087\pi\) | ||||
0.0593832 | + | 0.998235i | \(0.481087\pi\) | |||||||
\(758\) | −47.9394 | − | 169.027i | −0.0632446 | − | 0.222990i | ||||
\(759\) | 1040.01i | 1.37023i | ||||||||
\(760\) | −107.125 | − | 98.1511i | −0.140954 | − | 0.129146i | ||||
\(761\) | 261.751 | 0.343956 | 0.171978 | − | 0.985101i | \(-0.444984\pi\) | ||||
0.171978 | + | 0.985101i | \(0.444984\pi\) | |||||||
\(762\) | 768.650 | − | 218.005i | 1.00873 | − | 0.286096i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 122.234 | + | 198.155i | 0.159992 | + | 0.259365i | ||||
\(765\) | 75.5185 | 0.0987170 | ||||||||
\(766\) | 356.672 | + | 1257.57i | 0.465629 | + | 1.64173i | ||||
\(767\) | − | 575.024i | − | 0.749705i | ||||||
\(768\) | 933.181 | − | 694.946i | 1.21508 | − | 0.904878i | ||||
\(769\) | 753.905 | 0.980370 | 0.490185 | − | 0.871618i | \(-0.336929\pi\) | ||||
0.490185 | + | 0.871618i | \(0.336929\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 1532.72i | − | 1.98796i | ||||||
\(772\) | −353.653 | + | 218.155i | −0.458099 | + | 0.282584i | ||||
\(773\) | 463.530 | 0.599650 | 0.299825 | − | 0.953994i | \(-0.403072\pi\) | ||||
0.299825 | + | 0.953994i | \(0.403072\pi\) | |||||||
\(774\) | 171.916 | + | 606.147i | 0.222113 | + | 0.783135i | ||||
\(775\) | 428.773i | 0.553255i | ||||||||
\(776\) | 484.959 | − | 529.300i | 0.624947 | − | 0.682088i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 324.907 | − | 92.1501i | 0.417618 | − | 0.118445i | ||||
\(779\) | − | 147.453i | − | 0.189285i | ||||||
\(780\) | 260.425 | + | 422.178i | 0.333879 | + | 0.541254i | ||||
\(781\) | −701.203 | −0.897827 | ||||||||
\(782\) | 38.6342 | + | 136.218i | 0.0494043 | + | 0.174192i | ||||
\(783\) | − | 74.9634i | − | 0.0957388i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −261.387 | −0.332977 | ||||||||
\(786\) | 1225.54 | − | 347.588i | 1.55921 | − | 0.442224i | ||||
\(787\) | − | 618.821i | − | 0.786304i | −0.919473 | − | 0.393152i | \(-0.871385\pi\) | ||
0.919473 | − | 0.393152i | \(-0.128615\pi\) | |||||||
\(788\) | −616.878 | + | 380.528i | −0.782841 | + | 0.482904i | ||||
\(789\) | −744.146 | −0.943151 | ||||||||
\(790\) | −24.9139 | − | 87.8423i | −0.0315365 | − | 0.111193i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 1052.51 | + | 964.341i | 1.32893 | + | 1.21760i | ||||
\(793\) | 130.131 | 0.164100 | ||||||||
\(794\) | −1330.56 | + | 377.375i | −1.67577 | + | 0.475283i | ||||
\(795\) | 79.4924i | 0.0999905i | ||||||||
\(796\) | 457.638 | + | 741.881i | 0.574922 | + | 0.932011i | ||||
\(797\) | 441.998 | 0.554577 | 0.277289 | − | 0.960787i | \(-0.410564\pi\) | ||||
0.277289 | + | 0.960787i | \(0.410564\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 146.685i | 0.183585i | ||||||||
\(800\) | 139.039 | − | 726.943i | 0.173799 | − | 0.908678i | ||||
\(801\) | −583.335 | −0.728259 | ||||||||
\(802\) | 769.323 | − | 218.196i | 0.959256 | − | 0.272064i | ||||
\(803\) | 1073.04i | 1.33628i | ||||||||
\(804\) | −1591.59 | + | 981.788i | −1.97958 | + | 1.22113i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −201.790 | − | 711.478i | −0.250359 | − | 0.882727i | ||||
\(807\) | − | 1321.61i | − | 1.63768i | ||||||
\(808\) | 880.274 | − | 960.760i | 1.08945 | − | 1.18906i | ||||
\(809\) | 311.447 | 0.384978 | 0.192489 | − | 0.981299i | \(-0.438344\pi\) | ||||
0.192489 | + | 0.981299i | \(0.438344\pi\) | |||||||
\(810\) | −131.675 | + | 37.3458i | −0.162562 | + | 0.0461060i | ||||
\(811\) | 965.110i | 1.19002i | 0.803717 | + | 0.595012i | \(0.202853\pi\) | ||||
−0.803717 | + | 0.595012i | \(0.797147\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1675.41 | 2.06078 | ||||||||
\(814\) | 229.900 | + | 810.590i | 0.282432 | + | 0.995811i | ||||
\(815\) | 393.615i | 0.482963i | ||||||||
\(816\) | 307.772 | + | 154.540i | 0.377172 | + | 0.189387i | ||||
\(817\) | 358.793 | 0.439159 | ||||||||
\(818\) | 213.728 | − | 60.6175i | 0.261281 | − | 0.0741045i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −51.7222 | + | 31.9054i | −0.0630759 | + | 0.0389091i | ||||
\(821\) | 1464.81 | 1.78417 | 0.892087 | − | 0.451864i | \(-0.149241\pi\) | ||||
0.892087 | + | 0.451864i | \(0.149241\pi\) | |||||||
\(822\) | −294.470 | − | 1038.25i | −0.358236 | − | 1.26308i | ||||
\(823\) | − | 967.159i | − | 1.17516i | −0.809165 | − | 0.587581i | \(-0.800080\pi\) | ||
0.809165 | − | 0.587581i | \(-0.199920\pi\) | |||||||
\(824\) | −507.988 | − | 465.433i | −0.616491 | − | 0.564845i | ||||
\(825\) | 1609.10 | 1.95043 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 1298.46i | 1.57009i | 0.619441 | + | 0.785043i | \(0.287359\pi\) | ||||
−0.619441 | + | 0.785043i | \(0.712641\pi\) | |||||||
\(828\) | 365.946 | + | 593.239i | 0.441964 | + | 0.716473i | ||||
\(829\) | 771.397 | 0.930515 | 0.465258 | − | 0.885175i | \(-0.345962\pi\) | ||||
0.465258 | + | 0.885175i | \(0.345962\pi\) | |||||||
\(830\) | 118.920 | + | 419.291i | 0.143277 | + | 0.505170i | ||||
\(831\) | 1156.36i | 1.39153i | ||||||||
\(832\) | 111.403 | + | 1271.68i | 0.133897 | + | 1.52846i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −630.560 | + | 178.840i | −0.756067 | + | 0.214436i | ||||
\(835\) | 170.799i | 0.204550i | ||||||||
\(836\) | 691.861 | − | 426.782i | 0.827585 | − | 0.510505i | ||||
\(837\) | −223.871 | −0.267469 | ||||||||
\(838\) | −350.343 | − | 1235.25i | −0.418070 | − | 1.47405i | ||||
\(839\) | 1088.04i | 1.29683i | 0.761287 | + | 0.648415i | \(0.224568\pi\) | ||||
−0.761287 | + | 0.648415i | \(0.775432\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −802.465 | −0.954180 | ||||||||
\(842\) | −292.407 | + | 82.9327i | −0.347277 | + | 0.0984949i | ||||
\(843\) | 666.438i | 0.790555i | ||||||||
\(844\) | 225.545 | + | 365.633i | 0.267233 | + | 0.433215i | ||||
\(845\) | −313.045 | −0.370468 | ||||||||
\(846\) | 197.032 | + | 694.705i | 0.232899 | + | 0.821164i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −91.7978 | + | 182.819i | −0.108252 | + | 0.215588i | ||||
\(849\) | 870.611 | 1.02545 | ||||||||
\(850\) | 210.757 | − | 59.7750i | 0.247949 | − | 0.0703235i | ||||
\(851\) | 411.413i | 0.483447i | ||||||||
\(852\) | −708.792 | + | 437.226i | −0.831915 | + | 0.513176i | ||||
\(853\) | −126.051 | −0.147774 | −0.0738870 | − | 0.997267i | \(-0.523540\pi\) | ||||
−0.0738870 | + | 0.997267i | \(0.523540\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | − | 211.707i | − | 0.247611i | ||||||
\(856\) | −602.508 | − | 552.034i | −0.703865 | − | 0.644900i | ||||
\(857\) | 1135.93 | 1.32547 | 0.662736 | − | 0.748853i | \(-0.269395\pi\) | ||||
0.662736 | + | 0.748853i | \(0.269395\pi\) | |||||||
\(858\) | −2670.04 | + | 757.277i | −3.11193 | + | 0.882608i | ||||
\(859\) | − | 590.556i | − | 0.687492i | −0.939063 | − | 0.343746i | \(-0.888304\pi\) | ||
0.939063 | − | 0.343746i | \(-0.111696\pi\) | |||||||
\(860\) | −77.6345 | − | 125.854i | −0.0902727 | − | 0.146342i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −250.950 | − | 884.809i | −0.291125 | − | 1.02646i | ||||
\(863\) | 292.067i | 0.338432i | 0.985579 | + | 0.169216i | \(0.0541235\pi\) | ||||
−0.985579 | + | 0.169216i | \(0.945876\pi\) | |||||||
\(864\) | 379.552 | + | 72.5952i | 0.439297 | + | 0.0840222i | ||||
\(865\) | −376.466 | −0.435221 | ||||||||
\(866\) | 1028.19 | − | 291.615i | 1.18728 | − | 0.336737i | ||||
\(867\) | − | 1211.57i | − | 1.39742i | ||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 510.864 | 0.587876 | ||||||||
\(870\) | 21.0617 | + | 74.2601i | 0.0242088 | + | 0.0853564i | ||||
\(871\) | − | 2051.70i | − | 2.35557i | ||||||
\(872\) | −821.665 | + | 896.792i | −0.942276 | + | 1.02843i | ||||
\(873\) | 1046.03 | 1.19820 | ||||||||
\(874\) | 381.871 | − | 108.306i | 0.436923 | − | 0.123920i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 669.077 | + | 1084.65i | 0.763787 | + | 1.23818i | ||||
\(877\) | 1087.23 | 1.23971 | 0.619856 | − | 0.784715i | \(-0.287191\pi\) | ||||
0.619856 | + | 0.784715i | \(0.287191\pi\) | |||||||
\(878\) | 109.830 | + | 387.244i | 0.125091 | + | 0.441053i | ||||
\(879\) | − | 1433.93i | − | 1.63132i | ||||||
\(880\) | −299.405 | − | 150.339i | −0.340233 | − | 0.170839i | ||||
\(881\) | −1217.53 | −1.38198 | −0.690991 | − | 0.722863i | \(-0.742826\pi\) | ||||
−0.690991 | + | 0.722863i | \(0.742826\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1141.10i | 1.29230i | 0.763212 | + | 0.646148i | \(0.223621\pi\) | ||||
−0.763212 | + | 0.646148i | \(0.776379\pi\) | |||||||
\(884\) | −321.585 | + | 198.374i | −0.363784 | + | 0.224404i | ||||
\(885\) | 179.237 | 0.202528 | ||||||||
\(886\) | −40.1062 | − | 141.408i | −0.0452666 | − | 0.159603i | ||||
\(887\) | − | 368.518i | − | 0.415466i | −0.978186 | − | 0.207733i | \(-0.933391\pi\) | ||
0.978186 | − | 0.207733i | \(-0.0666085\pi\) | |||||||
\(888\) | 737.821 | + | 676.011i | 0.830879 | + | 0.761274i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 131.713 | − | 37.3564i | 0.147992 | − | 0.0419735i | ||||
\(891\) | − | 765.784i | − | 0.859466i | ||||||
\(892\) | 734.350 | + | 1190.46i | 0.823263 | + | 1.33460i | ||||
\(893\) | 411.213 | 0.460484 | ||||||||
\(894\) | −541.443 | − | 1909.04i | −0.605641 | − | 2.13539i | ||||
\(895\) | − | 10.1566i | − | 0.0113482i | ||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −1355.17 | −1.51078 | ||||||||
\(898\) | 79.7315 | − | 22.6135i | 0.0887879 | − | 0.0251821i | ||||
\(899\) | − | 115.080i | − | 0.128009i | ||||||
\(900\) | 917.862 | − | 566.194i | 1.01985 | − | 0.629104i | ||||
\(901\) | −60.5517 | −0.0672050 | ||||||||
\(902\) | −92.7761 | − | 327.114i | −0.102856 | − | 0.362654i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 908.544 | − | 991.615i | 1.00503 | − | 1.09692i | ||||
\(905\) | 136.195 | 0.150492 | ||||||||
\(906\) | −1582.39 | + | 448.798i | −1.74657 | + | 0.495362i | ||||
\(907\) | − | 341.525i | − | 0.376544i | −0.982117 | − | 0.188272i | \(-0.939711\pi\) | ||
0.982117 | − | 0.188272i | \(-0.0602886\pi\) | |||||||
\(908\) | −38.5190 | − | 62.4435i | −0.0424218 | − | 0.0687703i | ||||
\(909\) | 1898.71 | 2.08879 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 536.979i | − | 0.589439i | −0.955584 | − | 0.294719i | \(-0.904774\pi\) | ||
0.955584 | − | 0.294719i | \(-0.0952262\pi\) | |||||||
\(912\) | 433.234 | − | 862.802i | 0.475037 | − | 0.946055i | ||||
\(913\) | −2438.47 | −2.67083 | ||||||||
\(914\) | −519.904 | + | 147.455i | −0.568823 | + | 0.161330i | ||||
\(915\) | 40.5624i | 0.0443305i | ||||||||
\(916\) | −233.352 | + | 143.946i | −0.254751 | + | 0.157146i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 31.2098 | + | 110.041i | 0.0339976 | + | 0.119870i | ||||
\(919\) | 987.383i | 1.07441i | 0.843452 | + | 0.537205i | \(0.180520\pi\) | ||||
−0.843452 | + | 0.537205i | \(0.819480\pi\) | |||||||
\(920\) | −120.619 | − | 110.514i | −0.131107 | − | 0.120124i | ||||
\(921\) | 2056.65 | 2.23306 | ||||||||
\(922\) | −1414.47 | + | 401.174i | −1.53414 | + | 0.435113i | ||||
\(923\) | − | 913.698i | − | 0.989922i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 636.540 | 0.688152 | ||||||||
\(926\) | 405.116 | + | 1428.37i | 0.437490 | + | 1.54252i | ||||
\(927\) | − | 1003.91i | − | 1.08297i | ||||||
\(928\) | −37.3173 | + | 195.107i | −0.0402126 | + | 0.210245i | ||||
\(929\) | 1285.67 | 1.38393 | 0.691965 | − | 0.721932i | \(-0.256745\pi\) | ||||
0.691965 | + | 0.721932i | \(0.256745\pi\) | |||||||
\(930\) | 221.771 | − | 62.8987i | 0.238463 | − | 0.0676331i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 209.298 | − | 129.108i | 0.224568 | − | 0.138527i | ||||
\(933\) | −2171.68 | −2.32763 | ||||||||
\(934\) | 219.461 | + | 773.785i | 0.234969 | + | 0.828463i | ||||
\(935\) | − | 99.1664i | − | 0.106060i | ||||||
\(936\) | −1256.58 | + | 1371.47i | −1.34250 | + | 1.46525i | ||||
\(937\) | 887.657 | 0.947339 | 0.473670 | − | 0.880703i | \(-0.342929\pi\) | ||||
0.473670 | + | 0.880703i | \(0.342929\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | − | 951.882i | − | 1.01372i | ||||||
\(940\) | −88.9769 | − | 144.241i | −0.0946563 | − | 0.153448i | ||||
\(941\) | −380.526 | −0.404385 | −0.202192 | − | 0.979346i | \(-0.564807\pi\) | ||||
−0.202192 | + | 0.979346i | \(0.564807\pi\) | |||||||
\(942\) | −473.934 | − | 1671.01i | −0.503114 | − | 1.77390i | ||||
\(943\) | − | 166.026i | − | 0.176061i | ||||||
\(944\) | 412.215 | + | 206.983i | 0.436669 | + | 0.219262i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 795.956 | − | 225.749i | 0.841391 | − | 0.238636i | ||||
\(947\) | 363.169i | 0.383494i | 0.981444 | + | 0.191747i | \(0.0614153\pi\) | ||||
−0.981444 | + | 0.191747i | \(0.938585\pi\) | |||||||
\(948\) | 516.393 | − | 318.543i | 0.544718 | − | 0.336015i | ||||
\(949\) | −1398.21 | −1.47335 | ||||||||
\(950\) | −167.572 | − | 590.832i | −0.176391 | − | 0.621928i | ||||
\(951\) | 7.94799i | 0.00835750i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −679.479 | −0.712990 | −0.356495 | − | 0.934297i | \(-0.616028\pi\) | ||||
−0.356495 | + | 0.934297i | \(0.616028\pi\) | |||||||
\(954\) | −286.775 | + | 81.3353i | −0.300603 | + | 0.0852572i | ||||
\(955\) | − | 79.6220i | − | 0.0833738i | ||||||
\(956\) | −429.762 | − | 696.692i | −0.449542 | − | 0.728757i | ||||
\(957\) | −431.874 | −0.451279 | ||||||||
\(958\) | 194.680 | + | 686.409i | 0.203215 | + | 0.716502i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −396.387 | + | 34.7247i | −0.412904 | + | 0.0361716i | ||||
\(961\) | 617.323 | 0.642376 | ||||||||
\(962\) | −1056.23 | + | 299.570i | −1.09796 | + | 0.311403i | ||||
\(963\) | − | 1190.71i | − | 1.23646i | ||||||
\(964\) | 1325.21 | − | 817.472i | 1.37470 | − | 0.848000i | ||||
\(965\) | 142.103 | 0.147257 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 209.525i | − | 0.216675i | −0.994114 | − | 0.108337i | \(-0.965447\pi\) | ||
0.994114 | − | 0.108337i | \(-0.0345527\pi\) | |||||||
\(968\) | 612.384 | − | 668.376i | 0.632628 | − | 0.690471i | ||||
\(969\) | 285.770 | 0.294912 | ||||||||
\(970\) | −236.186 | + | 66.9872i | −0.243491 | + | 0.0690590i | ||||
\(971\) | 538.867i | 0.554961i | 0.960731 | + | 0.277481i | \(0.0894994\pi\) | ||||
−0.960731 | + | 0.277481i | \(0.910501\pi\) | |||||||
\(972\) | −705.735 | − | 1144.07i | −0.726065 | − | 1.17703i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −66.0989 | − | 233.054i | −0.0678633 | − | 0.239275i | ||||
\(975\) | 2096.73i | 2.15049i | ||||||||
\(976\) | −46.8415 | + | 93.2867i | −0.0479933 | + | 0.0955806i | ||||
\(977\) | 1028.30 | 1.05250 | 0.526252 | − | 0.850329i | \(-0.323597\pi\) | ||||
0.526252 | + | 0.850329i | \(0.323597\pi\) | |||||||
\(978\) | −2516.33 | + | 713.683i | −2.57294 | + | 0.729738i | ||||
\(979\) | 766.001i | 0.782432i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1772.29 | −1.80661 | ||||||||
\(982\) | −10.0704 | − | 35.5065i | −0.0102550 | − | 0.0361574i | ||||
\(983\) | 520.479i | 0.529480i | 0.964320 | + | 0.264740i | \(0.0852862\pi\) | ||||
−0.964320 | + | 0.264740i | \(0.914714\pi\) | |||||||
\(984\) | −297.748 | − | 272.804i | −0.302589 | − | 0.277240i | ||||
\(985\) | 247.872 | 0.251646 | ||||||||
\(986\) | −56.5660 | + | 16.0433i | −0.0573692 | + | 0.0162711i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 556.116 | + | 901.525i | 0.562871 | + | 0.912475i | ||||
\(989\) | 403.986 | 0.408479 | ||||||||
\(990\) | −133.204 | − | 469.656i | −0.134550 | − | 0.474400i | ||||
\(991\) | 1849.00i | 1.86579i | 0.360148 | + | 0.932895i | \(0.382726\pi\) | ||||
−0.360148 | + | 0.932895i | \(0.617274\pi\) | |||||||
\(992\) | 582.671 | + | 111.445i | 0.587369 | + | 0.112343i | ||||
\(993\) | −1704.60 | −1.71661 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | − | 298.100i | − | 0.299598i | ||||||
\(996\) | −2464.86 | + | 1520.48i | −2.47476 | + | 1.52658i | ||||
\(997\) | −1010.23 | −1.01327 | −0.506635 | − | 0.862161i | \(-0.669111\pi\) | ||||
−0.506635 | + | 0.862161i | \(0.669111\pi\) | |||||||
\(998\) | 81.6236 | + | 287.792i | 0.0817872 | + | 0.288368i | ||||
\(999\) | 332.351i | 0.332684i |
(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 | 196.3.c.g.99.2 | 6 | ||
4.3 | odd | 2 | inner | 196.3.c.g.99.1 | 6 | ||
7.2 | even | 3 | 196.3.g.j.67.5 | 12 | |||
7.3 | odd | 6 | 196.3.g.k.79.4 | 12 | |||
7.4 | even | 3 | 196.3.g.j.79.4 | 12 | |||
7.5 | odd | 6 | 196.3.g.k.67.5 | 12 | |||
7.6 | odd | 2 | 28.3.c.a.15.2 | yes | 6 | ||
21.20 | even | 2 | 252.3.g.a.127.5 | 6 | |||
28.3 | even | 6 | 196.3.g.k.79.5 | 12 | |||
28.11 | odd | 6 | 196.3.g.j.79.5 | 12 | |||
28.19 | even | 6 | 196.3.g.k.67.4 | 12 | |||
28.23 | odd | 6 | 196.3.g.j.67.4 | 12 | |||
28.27 | even | 2 | 28.3.c.a.15.1 | ✓ | 6 | ||
56.13 | odd | 2 | 448.3.d.d.127.6 | 6 | |||
56.27 | even | 2 | 448.3.d.d.127.1 | 6 | |||
84.83 | odd | 2 | 252.3.g.a.127.6 | 6 | |||
112.13 | odd | 4 | 1792.3.g.g.127.11 | 12 | |||
112.27 | even | 4 | 1792.3.g.g.127.12 | 12 | |||
112.69 | odd | 4 | 1792.3.g.g.127.2 | 12 | |||
112.83 | even | 4 | 1792.3.g.g.127.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
28.3.c.a.15.1 | ✓ | 6 | 28.27 | even | 2 | ||
28.3.c.a.15.2 | yes | 6 | 7.6 | odd | 2 | ||
196.3.c.g.99.1 | 6 | 4.3 | odd | 2 | inner | ||
196.3.c.g.99.2 | 6 | 1.1 | even | 1 | trivial | ||
196.3.g.j.67.4 | 12 | 28.23 | odd | 6 | |||
196.3.g.j.67.5 | 12 | 7.2 | even | 3 | |||
196.3.g.j.79.4 | 12 | 7.4 | even | 3 | |||
196.3.g.j.79.5 | 12 | 28.11 | odd | 6 | |||
196.3.g.k.67.4 | 12 | 28.19 | even | 6 | |||
196.3.g.k.67.5 | 12 | 7.5 | odd | 6 | |||
196.3.g.k.79.4 | 12 | 7.3 | odd | 6 | |||
196.3.g.k.79.5 | 12 | 28.3 | even | 6 | |||
252.3.g.a.127.5 | 6 | 21.20 | even | 2 | |||
252.3.g.a.127.6 | 6 | 84.83 | odd | 2 | |||
448.3.d.d.127.1 | 6 | 56.27 | even | 2 | |||
448.3.d.d.127.6 | 6 | 56.13 | odd | 2 | |||
1792.3.g.g.127.1 | 12 | 112.83 | even | 4 | |||
1792.3.g.g.127.2 | 12 | 112.69 | odd | 4 | |||
1792.3.g.g.127.11 | 12 | 112.13 | odd | 4 | |||
1792.3.g.g.127.12 | 12 | 112.27 | even | 4 |