Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [96,3,Mod(5,96)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(96, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 1, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("96.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 96 = 2^{5} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 96.p (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.61581053786\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 5.11 | ||
Character | \(\chi\) | \(=\) | 96.5 |
Dual form | 96.3.p.a.77.11 |
$q$-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 \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(37\) | \(65\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{8}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.896196 | − | 1.78797i | −0.448098 | − | 0.893984i | ||||
\(3\) | 2.31396 | + | 1.90935i | 0.771319 | + | 0.636449i | ||||
\(4\) | −2.39366 | + | 3.20474i | −0.598416 | + | 0.801186i | ||||
\(5\) | −0.794982 | + | 1.91926i | −0.158996 | + | 0.383851i | −0.983223 | − | 0.182409i | \(-0.941610\pi\) |
0.824226 | + | 0.566261i | \(0.191610\pi\) | |||||||
\(6\) | 1.34009 | − | 5.84843i | 0.223348 | − | 0.974739i | ||||
\(7\) | 4.69711 | + | 4.69711i | 0.671016 | + | 0.671016i | 0.957950 | − | 0.286934i | \(-0.0926361\pi\) |
−0.286934 | + | 0.957950i | \(0.592636\pi\) | |||||||
\(8\) | 7.87517 | + | 1.40772i | 0.984396 | + | 0.175965i | ||||
\(9\) | 1.70880 | + | 8.83629i | 0.189866 | + | 0.981810i | ||||
\(10\) | 4.14403 | − | 0.298628i | 0.414403 | − | 0.0298628i | ||||
\(11\) | 0.393643 | + | 0.163052i | 0.0357857 | + | 0.0148229i | 0.400505 | − | 0.916295i | \(-0.368835\pi\) |
−0.364719 | + | 0.931118i | \(0.618835\pi\) | |||||||
\(12\) | −11.6578 | + | 2.84530i | −0.971483 | + | 0.237109i | ||||
\(13\) | 2.31489 | − | 0.958858i | 0.178068 | − | 0.0737583i | −0.291868 | − | 0.956459i | \(-0.594277\pi\) |
0.469936 | + | 0.882700i | \(0.344277\pi\) | |||||||
\(14\) | 4.18875 | − | 12.6078i | 0.299197 | − | 0.900559i | ||||
\(15\) | −5.50408 | + | 2.92318i | −0.366939 | + | 0.194879i | ||||
\(16\) | −4.54074 | − | 15.3422i | −0.283796 | − | 0.958885i | ||||
\(17\) | 0.432707 | 0.0254534 | 0.0127267 | − | 0.999919i | \(-0.495949\pi\) | ||||
0.0127267 | + | 0.999919i | \(0.495949\pi\) | |||||||
\(18\) | 14.2676 | − | 10.9743i | 0.792644 | − | 0.609685i | ||||
\(19\) | 23.6610 | − | 9.80070i | 1.24531 | − | 0.515826i | 0.339943 | − | 0.940446i | \(-0.389592\pi\) |
0.905372 | + | 0.424620i | \(0.139592\pi\) | |||||||
\(20\) | −4.24780 | − | 7.14177i | −0.212390 | − | 0.357089i | ||||
\(21\) | 1.90050 | + | 19.8373i | 0.0905002 | + | 0.944635i | ||||
\(22\) | −0.0612491 | − | 0.849949i | −0.00278405 | − | 0.0386340i | ||||
\(23\) | −31.0794 | − | 31.0794i | −1.35128 | − | 1.35128i | −0.884235 | − | 0.467042i | \(-0.845320\pi\) |
−0.467042 | − | 0.884235i | \(-0.654680\pi\) | |||||||
\(24\) | 15.5350 | + | 18.2938i | 0.647291 | + | 0.762243i | ||||
\(25\) | 14.6261 | + | 14.6261i | 0.585045 | + | 0.585045i | ||||
\(26\) | −3.78900 | − | 3.27962i | −0.145731 | − | 0.126139i | ||||
\(27\) | −12.9175 | + | 23.7095i | −0.478424 | + | 0.878129i | ||||
\(28\) | −26.2963 | + | 3.80972i | −0.939155 | + | 0.136062i | ||||
\(29\) | −5.18802 | + | 2.14895i | −0.178897 | + | 0.0741016i | −0.470334 | − | 0.882488i | \(-0.655867\pi\) |
0.291437 | + | 0.956590i | \(0.405867\pi\) | |||||||
\(30\) | 10.1593 | + | 7.22138i | 0.338643 | + | 0.240713i | ||||
\(31\) | −40.7959 | −1.31600 | −0.657998 | − | 0.753020i | \(-0.728596\pi\) | ||||
−0.657998 | + | 0.753020i | \(0.728596\pi\) | |||||||
\(32\) | −23.3619 | + | 21.8683i | −0.730059 | + | 0.683384i | ||||
\(33\) | 0.599550 | + | 1.12890i | 0.0181682 | + | 0.0342090i | ||||
\(34\) | −0.387790 | − | 0.773667i | −0.0114056 | − | 0.0227549i | ||||
\(35\) | −12.7491 | + | 5.28084i | −0.364260 | + | 0.150881i | ||||
\(36\) | −32.4083 | − | 15.6749i | −0.900231 | − | 0.435413i | ||||
\(37\) | −5.92626 | − | 2.45474i | −0.160169 | − | 0.0663442i | 0.301158 | − | 0.953574i | \(-0.402627\pi\) |
−0.461328 | + | 0.887230i | \(0.652627\pi\) | |||||||
\(38\) | −38.7282 | − | 33.5217i | −1.01916 | − | 0.882151i | ||||
\(39\) | 7.18734 | + | 2.20117i | 0.184291 | + | 0.0564401i | ||||
\(40\) | −8.96240 | + | 13.9954i | −0.224060 | + | 0.349884i | ||||
\(41\) | 25.7408 | + | 25.7408i | 0.627824 | + | 0.627824i | 0.947520 | − | 0.319696i | \(-0.103581\pi\) |
−0.319696 | + | 0.947520i | \(0.603581\pi\) | |||||||
\(42\) | 33.7653 | − | 21.1762i | 0.803936 | − | 0.504195i | ||||
\(43\) | 29.2668 | − | 70.6562i | 0.680623 | − | 1.64317i | −0.0822441 | − | 0.996612i | \(-0.526209\pi\) |
0.762867 | − | 0.646556i | \(-0.223791\pi\) | |||||||
\(44\) | −1.46479 | + | 0.871232i | −0.0332907 | + | 0.0198007i | ||||
\(45\) | −18.3176 | − | 3.74507i | −0.407057 | − | 0.0832239i | ||||
\(46\) | −27.7157 | + | 83.4222i | −0.602516 | + | 1.81353i | ||||
\(47\) | −32.4483 | −0.690389 | −0.345194 | − | 0.938531i | \(-0.612187\pi\) | ||||
−0.345194 | + | 0.938531i | \(0.612187\pi\) | |||||||
\(48\) | 18.7864 | − | 44.1709i | 0.391383 | − | 0.920228i | ||||
\(49\) | − | 4.87427i | − | 0.0994750i | ||||||
\(50\) | 13.0432 | − | 39.2589i | 0.260863 | − | 0.785178i | ||||
\(51\) | 1.00127 | + | 0.826187i | 0.0196327 | + | 0.0161998i | ||||
\(52\) | −2.46817 | + | 9.71380i | −0.0474648 | + | 0.186804i | ||||
\(53\) | 69.1389 | + | 28.6383i | 1.30451 | + | 0.540344i | 0.923277 | − | 0.384136i | \(-0.125501\pi\) |
0.381230 | + | 0.924480i | \(0.375501\pi\) | |||||||
\(54\) | 53.9684 | + | 1.84765i | 0.999414 | + | 0.0342158i | ||||
\(55\) | −0.625879 | + | 0.625879i | −0.0113796 | + | 0.0113796i | ||||
\(56\) | 30.3784 | + | 43.6028i | 0.542471 | + | 0.778621i | ||||
\(57\) | 73.4634 | + | 22.4986i | 1.28883 | + | 0.394712i | ||||
\(58\) | 8.49173 | + | 7.35013i | 0.146409 | + | 0.126726i | ||||
\(59\) | 21.9238 | − | 52.9288i | 0.371590 | − | 0.897098i | −0.621891 | − | 0.783103i | \(-0.713635\pi\) |
0.993481 | − | 0.113994i | \(-0.0363645\pi\) | |||||||
\(60\) | 3.80688 | − | 24.6363i | 0.0634479 | − | 0.410605i | ||||
\(61\) | −32.9968 | − | 79.6614i | −0.540932 | − | 1.30592i | −0.924066 | − | 0.382232i | \(-0.875156\pi\) |
0.383135 | − | 0.923692i | \(-0.374844\pi\) | |||||||
\(62\) | 36.5611 | + | 72.9417i | 0.589695 | + | 1.17648i | ||||
\(63\) | −33.4786 | + | 49.5315i | −0.531407 | + | 0.786214i | ||||
\(64\) | 60.0367 | + | 22.1721i | 0.938073 | + | 0.346438i | ||||
\(65\) | 5.20514i | 0.0800791i | ||||||||
\(66\) | 1.48112 | − | 2.08369i | 0.0224412 | − | 0.0315711i | ||||
\(67\) | −19.1610 | − | 46.2587i | −0.285985 | − | 0.690428i | 0.713968 | − | 0.700179i | \(-0.246896\pi\) |
−0.999952 | + | 0.00975034i | \(0.996896\pi\) | |||||||
\(68\) | −1.03576 | + | 1.38671i | −0.0152317 | + | 0.0203929i | ||||
\(69\) | −12.5751 | − | 131.258i | −0.182247 | − | 1.90228i | ||||
\(70\) | 20.8677 | + | 18.0623i | 0.298110 | + | 0.258033i | ||||
\(71\) | 65.8420 | − | 65.8420i | 0.927352 | − | 0.927352i | −0.0701821 | − | 0.997534i | \(-0.522358\pi\) |
0.997534 | + | 0.0701821i | \(0.0223580\pi\) | |||||||
\(72\) | 1.01805 | + | 71.9928i | 0.0141396 | + | 0.999900i | ||||
\(73\) | −16.0821 | + | 16.0821i | −0.220303 | + | 0.220303i | −0.808626 | − | 0.588323i | \(-0.799788\pi\) |
0.588323 | + | 0.808626i | \(0.299788\pi\) | |||||||
\(74\) | 0.922099 | + | 12.7959i | 0.0124608 | + | 0.172917i | ||||
\(75\) | 5.91789 | + | 61.7705i | 0.0789052 | + | 0.823607i | ||||
\(76\) | −25.2277 | + | 99.2869i | −0.331944 | + | 1.30641i | ||||
\(77\) | 1.08311 | + | 2.61486i | 0.0140664 | + | 0.0339592i | ||||
\(78\) | −2.50566 | − | 14.8234i | −0.0321238 | − | 0.190044i | ||||
\(79\) | 45.6365i | 0.577678i | 0.957378 | + | 0.288839i | \(0.0932692\pi\) | ||||
−0.957378 | + | 0.288839i | \(0.906731\pi\) | |||||||
\(80\) | 33.0553 | + | 3.48189i | 0.413192 | + | 0.0435236i | ||||
\(81\) | −75.1600 | + | 30.1988i | −0.927902 | + | 0.372825i | ||||
\(82\) | 22.9549 | − | 69.0925i | 0.279938 | − | 0.842592i | ||||
\(83\) | −14.7260 | − | 35.5516i | −0.177421 | − | 0.428333i | 0.810003 | − | 0.586426i | \(-0.199465\pi\) |
−0.987424 | + | 0.158093i | \(0.949465\pi\) | |||||||
\(84\) | −68.1227 | − | 41.3933i | −0.810984 | − | 0.492777i | ||||
\(85\) | −0.343994 | + | 0.830476i | −0.00404699 | + | 0.00977031i | ||||
\(86\) | −152.560 | + | 10.9938i | −1.77395 | + | 0.127835i | ||||
\(87\) | −16.1079 | − | 4.93315i | −0.185149 | − | 0.0567028i | ||||
\(88\) | 2.87048 | + | 1.83820i | 0.0326190 | + | 0.0208887i | ||||
\(89\) | −104.157 | + | 104.157i | −1.17030 | + | 1.17030i | −0.188166 | + | 0.982137i | \(0.560254\pi\) |
−0.982137 | + | 0.188166i | \(0.939746\pi\) | |||||||
\(90\) | 9.72007 | + | 36.1076i | 0.108001 | + | 0.401195i | ||||
\(91\) | 15.3772 | + | 6.36942i | 0.168980 | + | 0.0699937i | ||||
\(92\) | 173.995 | − | 25.2078i | 1.89125 | − | 0.273998i | ||||
\(93\) | −94.3999 | − | 77.8934i | −1.01505 | − | 0.837564i | ||||
\(94\) | 29.0800 | + | 58.0165i | 0.309362 | + | 0.617197i | ||||
\(95\) | 53.2029i | 0.560030i | ||||||||
\(96\) | −95.8125 | + | 5.99635i | −0.998047 | + | 0.0624620i | ||||
\(97\) | 67.7334 | 0.698282 | 0.349141 | − | 0.937070i | \(-0.386473\pi\) | ||||
0.349141 | + | 0.937070i | \(0.386473\pi\) | |||||||
\(98\) | −8.71505 | + | 4.36831i | −0.0889291 | + | 0.0445746i | ||||
\(99\) | −0.768122 | + | 3.75697i | −0.00775881 | + | 0.0379492i | ||||
\(100\) | −81.8830 | + | 11.8629i | −0.818830 | + | 0.118629i | ||||
\(101\) | 11.6999 | − | 28.2462i | 0.115841 | − | 0.279665i | −0.855316 | − | 0.518107i | \(-0.826637\pi\) |
0.971157 | + | 0.238442i | \(0.0766368\pi\) | |||||||
\(102\) | 0.579867 | − | 2.53066i | 0.00568497 | − | 0.0248104i | ||||
\(103\) | 82.0760 | + | 82.0760i | 0.796855 | + | 0.796855i | 0.982598 | − | 0.185744i | \(-0.0594694\pi\) |
−0.185744 | + | 0.982598i | \(0.559469\pi\) | |||||||
\(104\) | 19.5799 | − | 4.29246i | 0.188269 | − | 0.0412737i | ||||
\(105\) | −39.5838 | − | 12.1228i | −0.376989 | − | 0.115455i | ||||
\(106\) | −10.7577 | − | 149.284i | −0.101488 | − | 1.40834i | ||||
\(107\) | 182.577 | + | 75.6258i | 1.70633 | + | 0.706784i | 0.999999 | − | 0.00110220i | \(-0.000350840\pi\) |
0.706327 | + | 0.707886i | \(0.250351\pi\) | |||||||
\(108\) | −45.0627 | − | 98.1496i | −0.417247 | − | 0.908793i | ||||
\(109\) | 25.7992 | − | 10.6864i | 0.236690 | − | 0.0980403i | −0.261186 | − | 0.965289i | \(-0.584113\pi\) |
0.497876 | + | 0.867248i | \(0.334113\pi\) | |||||||
\(110\) | 1.67996 | + | 0.558141i | 0.0152724 | + | 0.00507401i | ||||
\(111\) | −9.02617 | − | 16.9954i | −0.0813168 | − | 0.153112i | ||||
\(112\) | 50.7354 | − | 93.3922i | 0.452995 | − | 0.833859i | ||||
\(113\) | −115.942 | −1.02604 | −0.513019 | − | 0.858377i | \(-0.671473\pi\) | ||||
−0.513019 | + | 0.858377i | \(0.671473\pi\) | |||||||
\(114\) | −25.6109 | − | 151.513i | −0.224657 | − | 1.32907i | ||||
\(115\) | 84.3569 | − | 34.9418i | 0.733538 | − | 0.303841i | ||||
\(116\) | 5.53155 | − | 21.7701i | 0.0476858 | − | 0.187673i | ||||
\(117\) | 12.4284 | + | 18.8165i | 0.106226 | + | 0.160825i | ||||
\(118\) | −114.283 | + | 8.23547i | −0.968500 | + | 0.0697922i | ||||
\(119\) | 2.03247 | + | 2.03247i | 0.0170796 | + | 0.0170796i | ||||
\(120\) | −47.4606 | + | 15.2724i | −0.395505 | + | 0.127270i | ||||
\(121\) | −85.4316 | − | 85.4316i | −0.706046 | − | 0.706046i | ||||
\(122\) | −112.860 | + | 130.390i | −0.925086 | + | 1.06877i | ||||
\(123\) | 10.4150 | + | 108.711i | 0.0846749 | + | 0.883831i | ||||
\(124\) | 97.6516 | − | 130.740i | 0.787513 | − | 1.05436i | ||||
\(125\) | −87.6802 | + | 36.3183i | −0.701442 | + | 0.290547i | ||||
\(126\) | 118.564 | + | 15.4688i | 0.940985 | + | 0.122769i | ||||
\(127\) | −106.364 | −0.837514 | −0.418757 | − | 0.908098i | \(-0.637534\pi\) | ||||
−0.418757 | + | 0.908098i | \(0.637534\pi\) | |||||||
\(128\) | −14.1617 | − | 127.214i | −0.110638 | − | 0.993861i | ||||
\(129\) | 202.629 | − | 107.615i | 1.57077 | − | 0.834226i | ||||
\(130\) | 9.30663 | − | 4.66483i | 0.0715894 | − | 0.0358833i | ||||
\(131\) | −128.050 | + | 53.0401i | −0.977482 | + | 0.404887i | −0.813492 | − | 0.581575i | \(-0.802436\pi\) |
−0.163990 | + | 0.986462i | \(0.552436\pi\) | |||||||
\(132\) | −5.05295 | − | 0.780797i | −0.0382799 | − | 0.00591513i | ||||
\(133\) | 157.173 | + | 65.1033i | 1.18175 | + | 0.489498i | ||||
\(134\) | −65.5371 | + | 75.7161i | −0.489083 | + | 0.565046i | ||||
\(135\) | −35.2354 | − | 43.6405i | −0.261003 | − | 0.323263i | ||||
\(136\) | 3.40764 | + | 0.609130i | 0.0250562 | + | 0.00447890i | ||||
\(137\) | 164.125 | + | 164.125i | 1.19799 | + | 1.19799i | 0.974767 | + | 0.223226i | \(0.0716588\pi\) |
0.223226 | + | 0.974767i | \(0.428341\pi\) | |||||||
\(138\) | −223.415 | + | 140.116i | −1.61895 | + | 1.01534i | ||||
\(139\) | −54.3741 | + | 131.271i | −0.391181 | + | 0.944394i | 0.598502 | + | 0.801121i | \(0.295763\pi\) |
−0.989683 | + | 0.143273i | \(0.954237\pi\) | |||||||
\(140\) | 13.5933 | − | 53.4981i | 0.0970949 | − | 0.382129i | ||||
\(141\) | −75.0839 | − | 61.9550i | −0.532510 | − | 0.439397i | ||||
\(142\) | −176.731 | − | 58.7161i | −1.24458 | − | 0.413493i | ||||
\(143\) | 1.06758 | 0.00746562 | ||||||||
\(144\) | 127.809 | − | 66.3399i | 0.887559 | − | 0.460694i | ||||
\(145\) | − | 11.6655i | − | 0.0804518i | ||||||
\(146\) | 43.1670 | + | 14.3416i | 0.295664 | + | 0.0982300i | ||||
\(147\) | 9.30668 | − | 11.2789i | 0.0633107 | − | 0.0767270i | ||||
\(148\) | 22.0523 | − | 13.1163i | 0.149002 | − | 0.0886237i | ||||
\(149\) | −148.229 | − | 61.3986i | −0.994827 | − | 0.412071i | −0.174930 | − | 0.984581i | \(-0.555970\pi\) |
−0.819898 | + | 0.572510i | \(0.805970\pi\) | |||||||
\(150\) | 105.140 | − | 65.9395i | 0.700935 | − | 0.439597i | ||||
\(151\) | −122.344 | + | 122.344i | −0.810223 | + | 0.810223i | −0.984667 | − | 0.174444i | \(-0.944187\pi\) |
0.174444 | + | 0.984667i | \(0.444187\pi\) | |||||||
\(152\) | 200.131 | − | 43.8742i | 1.31665 | − | 0.288646i | ||||
\(153\) | 0.739408 | + | 3.82352i | 0.00483273 | + | 0.0249904i | ||||
\(154\) | 3.70461 | − | 4.28000i | 0.0240559 | − | 0.0277922i | ||||
\(155\) | 32.4320 | − | 78.2978i | 0.209239 | − | 0.505147i | ||||
\(156\) | −24.2583 | + | 17.7647i | −0.155502 | + | 0.113876i | ||||
\(157\) | 72.9368 | + | 176.085i | 0.464566 | + | 1.12156i | 0.966503 | + | 0.256657i | \(0.0826210\pi\) |
−0.501937 | + | 0.864904i | \(0.667379\pi\) | |||||||
\(158\) | 81.5967 | − | 40.8993i | 0.516435 | − | 0.258856i | ||||
\(159\) | 105.304 | + | 198.278i | 0.662290 | + | 1.24703i | ||||
\(160\) | −23.3986 | − | 62.2224i | −0.146241 | − | 0.388890i | ||||
\(161\) | − | 291.967i | − | 1.81346i | ||||||
\(162\) | 121.353 | + | 107.320i | 0.749091 | + | 0.662467i | ||||
\(163\) | −55.2863 | − | 133.473i | −0.339180 | − | 0.818852i | −0.997795 | − | 0.0663722i | \(-0.978858\pi\) |
0.658615 | − | 0.752480i | \(-0.271142\pi\) | |||||||
\(164\) | −144.107 | + | 20.8778i | −0.878704 | + | 0.127304i | ||||
\(165\) | −2.64328 | + | 0.253238i | −0.0160199 | + | 0.00153477i | ||||
\(166\) | −50.3678 | + | 58.1908i | −0.303421 | + | 0.350547i | ||||
\(167\) | 85.7657 | − | 85.7657i | 0.513567 | − | 0.513567i | −0.402050 | − | 0.915618i | \(-0.631702\pi\) |
0.915618 | + | 0.402050i | \(0.131702\pi\) | |||||||
\(168\) | −12.9586 | + | 158.898i | −0.0771344 | + | 0.945820i | ||||
\(169\) | −115.062 | + | 115.062i | −0.680839 | + | 0.680839i | ||||
\(170\) | 1.79315 | − | 0.129218i | 0.0105480 | − | 0.000760108i | ||||
\(171\) | 127.034 | + | 192.328i | 0.742887 | + | 1.12472i | ||||
\(172\) | 156.380 | + | 262.920i | 0.909187 | + | 1.52860i | ||||
\(173\) | 75.4770 | + | 182.218i | 0.436283 | + | 1.05328i | 0.977222 | + | 0.212219i | \(0.0680689\pi\) |
−0.540939 | + | 0.841062i | \(0.681931\pi\) | |||||||
\(174\) | 5.61556 | + | 33.2215i | 0.0322733 | + | 0.190928i | ||||
\(175\) | 137.401i | 0.785149i | ||||||||
\(176\) | 0.714141 | − | 6.77971i | 0.00405762 | − | 0.0385211i | ||||
\(177\) | 151.790 | − | 80.6148i | 0.857571 | − | 0.455451i | ||||
\(178\) | 279.575 | + | 92.8844i | 1.57064 | + | 0.521822i | ||||
\(179\) | −39.1321 | − | 94.4733i | −0.218615 | − | 0.527784i | 0.776082 | − | 0.630632i | \(-0.217204\pi\) |
−0.994697 | + | 0.102848i | \(0.967204\pi\) | |||||||
\(180\) | 55.8481 | − | 49.7387i | 0.310267 | − | 0.276326i | ||||
\(181\) | 9.83427 | − | 23.7420i | 0.0543330 | − | 0.131171i | −0.894382 | − | 0.447304i | \(-0.852384\pi\) |
0.948715 | + | 0.316132i | \(0.102384\pi\) | |||||||
\(182\) | −2.39261 | − | 33.2021i | −0.0131462 | − | 0.182429i | ||||
\(183\) | 75.7479 | − | 247.335i | 0.413923 | − | 1.35156i | ||||
\(184\) | −201.004 | − | 288.506i | −1.09242 | − | 1.56797i | ||||
\(185\) | 9.42254 | − | 9.42254i | 0.0509327 | − | 0.0509327i | ||||
\(186\) | −54.6702 | + | 238.592i | −0.293926 | + | 1.28275i | ||||
\(187\) | 0.170332 | + | 0.0705539i | 0.000910867 | + | 0.000377294i | ||||
\(188\) | 77.6702 | − | 103.988i | 0.413140 | − | 0.553129i | ||||
\(189\) | −172.041 | + | 50.6914i | −0.910269 | + | 0.268208i | ||||
\(190\) | 95.1251 | − | 47.6802i | 0.500658 | − | 0.250949i | ||||
\(191\) | − | 160.835i | − | 0.842071i | −0.907044 | − | 0.421035i | \(-0.861667\pi\) | ||
0.907044 | − | 0.421035i | \(-0.138333\pi\) | |||||||
\(192\) | 96.5881 | + | 165.936i | 0.503063 | + | 0.864250i | ||||
\(193\) | −164.339 | −0.851498 | −0.425749 | − | 0.904841i | \(-0.639989\pi\) | ||||
−0.425749 | + | 0.904841i | \(0.639989\pi\) | |||||||
\(194\) | −60.7024 | − | 121.105i | −0.312899 | − | 0.624253i | ||||
\(195\) | −9.93841 | + | 12.0445i | −0.0509662 | + | 0.0617665i | ||||
\(196\) | 15.6208 | + | 11.6674i | 0.0796979 | + | 0.0595274i | ||||
\(197\) | 14.8274 | − | 35.7965i | 0.0752659 | − | 0.181708i | −0.881768 | − | 0.471683i | \(-0.843647\pi\) |
0.957034 | + | 0.289974i | \(0.0936468\pi\) | |||||||
\(198\) | 7.40573 | − | 1.99360i | 0.0374027 | − | 0.0100687i | ||||
\(199\) | −34.7323 | − | 34.7323i | −0.174534 | − | 0.174534i | 0.614434 | − | 0.788968i | \(-0.289384\pi\) |
−0.788968 | + | 0.614434i | \(0.789384\pi\) | |||||||
\(200\) | 94.5937 | + | 135.773i | 0.472969 | + | 0.678863i | ||||
\(201\) | 43.9862 | − | 143.626i | 0.218837 | − | 0.714555i | ||||
\(202\) | −60.9887 | + | 4.39497i | −0.301924 | + | 0.0217573i | ||||
\(203\) | −34.4625 | − | 14.2748i | −0.169766 | − | 0.0703195i | ||||
\(204\) | −5.04441 | + | 1.23118i | −0.0247275 | + | 0.00603521i | ||||
\(205\) | −69.8667 | + | 28.9397i | −0.340813 | + | 0.141169i | ||||
\(206\) | 73.1931 | − | 220.306i | 0.355307 | − | 1.06944i | ||||
\(207\) | 221.518 | − | 327.735i | 1.07014 | − | 1.58326i | ||||
\(208\) | −25.2223 | − | 31.1614i | −0.121261 | − | 0.149815i | ||||
\(209\) | 10.9120 | 0.0522106 | ||||||||
\(210\) | 13.7997 | + | 81.6390i | 0.0657130 | + | 0.388757i | ||||
\(211\) | −8.12088 | + | 3.36378i | −0.0384876 | + | 0.0159421i | −0.401844 | − | 0.915708i | \(-0.631631\pi\) |
0.363357 | + | 0.931650i | \(0.381631\pi\) | |||||||
\(212\) | −257.273 | + | 153.022i | −1.21355 | + | 0.721801i | ||||
\(213\) | 278.071 | − | 26.6404i | 1.30550 | − | 0.125072i | ||||
\(214\) | −28.4081 | − | 394.217i | −0.132748 | − | 1.84214i | ||||
\(215\) | 112.341 | + | 112.341i | 0.522516 | + | 0.522516i | ||||
\(216\) | −135.103 | + | 168.532i | −0.625479 | + | 0.780241i | ||||
\(217\) | −191.623 | − | 191.623i | −0.883054 | − | 0.883054i | ||||
\(218\) | −42.2281 | − | 36.5511i | −0.193707 | − | 0.167666i | ||||
\(219\) | −67.9196 | + | 6.50700i | −0.310135 | + | 0.0297123i | ||||
\(220\) | −0.507636 | − | 3.50392i | −0.00230744 | − | 0.0159269i | ||||
\(221\) | 1.00167 | − | 0.414905i | 0.00453244 | − | 0.00187740i | ||||
\(222\) | −22.2981 | + | 31.3697i | −0.100442 | + | 0.141305i | ||||
\(223\) | 117.273 | 0.525890 | 0.262945 | − | 0.964811i | \(-0.415306\pi\) | ||||
0.262945 | + | 0.964811i | \(0.415306\pi\) | |||||||
\(224\) | −212.451 | − | 7.01563i | −0.948443 | − | 0.0313198i | ||||
\(225\) | −104.248 | + | 154.234i | −0.463323 | + | 0.685483i | ||||
\(226\) | 103.907 | + | 207.301i | 0.459766 | + | 0.917262i | ||||
\(227\) | −233.716 | + | 96.8085i | −1.02959 | + | 0.426469i | −0.832564 | − | 0.553930i | \(-0.813128\pi\) |
−0.197024 | + | 0.980399i | \(0.563128\pi\) | |||||||
\(228\) | −247.949 | + | 181.577i | −1.08750 | + | 0.796391i | ||||
\(229\) | 208.050 | + | 86.1773i | 0.908517 | + | 0.376320i | 0.787489 | − | 0.616329i | \(-0.211381\pi\) |
0.121028 | + | 0.992649i | \(0.461381\pi\) | |||||||
\(230\) | −138.075 | − | 119.513i | −0.600326 | − | 0.519621i | ||||
\(231\) | −2.48640 | + | 8.11871i | −0.0107636 | + | 0.0351459i | ||||
\(232\) | −43.8816 | + | 9.62006i | −0.189145 | + | 0.0414658i | ||||
\(233\) | 142.576 | + | 142.576i | 0.611913 | + | 0.611913i | 0.943444 | − | 0.331531i | \(-0.107565\pi\) |
−0.331531 | + | 0.943444i | \(0.607565\pi\) | |||||||
\(234\) | 22.5051 | − | 39.0849i | 0.0961755 | − | 0.167030i | ||||
\(235\) | 25.7958 | − | 62.2766i | 0.109769 | − | 0.265007i | ||||
\(236\) | 117.145 | + | 196.954i | 0.496376 | + | 0.834550i | ||||
\(237\) | −87.1359 | + | 105.601i | −0.367662 | + | 0.445574i | ||||
\(238\) | 1.81250 | − | 5.45549i | 0.00761556 | − | 0.0229222i | ||||
\(239\) | −380.299 | −1.59121 | −0.795605 | − | 0.605816i | \(-0.792847\pi\) | ||||
−0.795605 | + | 0.605816i | \(0.792847\pi\) | |||||||
\(240\) | 69.8405 | + | 71.1710i | 0.291002 | + | 0.296546i | ||||
\(241\) | − | 182.069i | − | 0.755473i | −0.925913 | − | 0.377736i | \(-0.876703\pi\) | ||
0.925913 | − | 0.377736i | \(-0.123297\pi\) | |||||||
\(242\) | −76.1855 | + | 229.312i | −0.314816 | + | 0.947572i | ||||
\(243\) | −231.577 | − | 73.6277i | −0.952992 | − | 0.302995i | ||||
\(244\) | 334.278 | + | 84.9363i | 1.36999 | + | 0.348100i | ||||
\(245\) | 9.35499 | + | 3.87496i | 0.0381836 | + | 0.0158162i | ||||
\(246\) | 185.038 | − | 116.048i | 0.752188 | − | 0.471741i | ||||
\(247\) | 45.3750 | − | 45.3750i | 0.183705 | − | 0.183705i | ||||
\(248\) | −321.274 | − | 57.4291i | −1.29546 | − | 0.231569i | ||||
\(249\) | 33.8051 | − | 110.382i | 0.135763 | − | 0.443301i | ||||
\(250\) | 143.515 | + | 124.221i | 0.574059 | + | 0.496884i | ||||
\(251\) | 96.8774 | − | 233.883i | 0.385966 | − | 0.931804i | −0.604820 | − | 0.796362i | \(-0.706755\pi\) |
0.990785 | − | 0.135441i | \(-0.0432452\pi\) | |||||||
\(252\) | −78.5989 | − | 225.852i | −0.311900 | − | 0.896238i | ||||
\(253\) | −7.16662 | − | 17.3017i | −0.0283266 | − | 0.0683864i | ||||
\(254\) | 95.3233 | + | 190.176i | 0.375289 | + | 0.748724i | ||||
\(255\) | −2.38165 | + | 1.26488i | −0.00933982 | + | 0.00496032i | ||||
\(256\) | −214.763 | + | 139.330i | −0.838919 | + | 0.544256i | ||||
\(257\) | − | 143.675i | − | 0.559048i | −0.960139 | − | 0.279524i | \(-0.909823\pi\) | ||
0.960139 | − | 0.279524i | \(-0.0901766\pi\) | |||||||
\(258\) | −374.008 | − | 265.850i | −1.44964 | − | 1.03043i | ||||
\(259\) | −16.3061 | − | 39.3665i | −0.0629580 | − | 0.151994i | ||||
\(260\) | −16.6811 | − | 12.4594i | −0.0641582 | − | 0.0479206i | ||||
\(261\) | −27.8540 | − | 42.1707i | −0.106720 | − | 0.161574i | ||||
\(262\) | 209.592 | + | 181.415i | 0.799970 | + | 0.692425i | ||||
\(263\) | 10.3269 | − | 10.3269i | 0.0392656 | − | 0.0392656i | −0.687201 | − | 0.726467i | \(-0.741161\pi\) |
0.726467 | + | 0.687201i | \(0.241161\pi\) | |||||||
\(264\) | 3.13239 | + | 9.73426i | 0.0118651 | + | 0.0368722i | ||||
\(265\) | −109.928 | + | 109.928i | −0.414824 | + | 0.414824i | ||||
\(266\) | −24.4554 | − | 339.366i | −0.0919377 | − | 1.27581i | ||||
\(267\) | −439.887 | + | 42.1431i | −1.64752 | + | 0.157839i | ||||
\(268\) | 194.112 | + | 49.3218i | 0.724299 | + | 0.184037i | ||||
\(269\) | −12.2762 | − | 29.6374i | −0.0456365 | − | 0.110176i | 0.899417 | − | 0.437091i | \(-0.143991\pi\) |
−0.945054 | + | 0.326914i | \(0.893991\pi\) | |||||||
\(270\) | −46.4500 | + | 102.110i | −0.172037 | + | 0.378186i | ||||
\(271\) | − | 248.594i | − | 0.917322i | −0.888611 | − | 0.458661i | \(-0.848329\pi\) | ||
0.888611 | − | 0.458661i | \(-0.151671\pi\) | |||||||
\(272\) | −1.96481 | − | 6.63866i | −0.00722357 | − | 0.0244068i | ||||
\(273\) | 23.4206 | + | 44.0989i | 0.0857899 | + | 0.161534i | ||||
\(274\) | 146.362 | − | 440.539i | 0.534168 | − | 1.60781i | ||||
\(275\) | 3.37265 | + | 8.14229i | 0.0122642 | + | 0.0296083i | ||||
\(276\) | 450.747 | + | 273.887i | 1.63314 | + | 0.992343i | ||||
\(277\) | −130.473 | + | 314.989i | −0.471020 | + | 1.13714i | 0.492693 | + | 0.870203i | \(0.336013\pi\) |
−0.963713 | + | 0.266940i | \(0.913987\pi\) | |||||||
\(278\) | 283.438 | − | 20.4251i | 1.01956 | − | 0.0734717i | ||||
\(279\) | −69.7118 | − | 360.484i | −0.249863 | − | 1.29206i | ||||
\(280\) | −107.835 | + | 23.6404i | −0.385126 | + | 0.0844301i | ||||
\(281\) | 45.2477 | − | 45.2477i | 0.161024 | − | 0.161024i | −0.621996 | − | 0.783020i | \(-0.713678\pi\) |
0.783020 | + | 0.621996i | \(0.213678\pi\) | |||||||
\(282\) | −43.4836 | + | 189.771i | −0.154197 | + | 0.672948i | ||||
\(283\) | −27.7771 | − | 11.5057i | −0.0981524 | − | 0.0406561i | 0.333067 | − | 0.942903i | \(-0.391916\pi\) |
−0.431219 | + | 0.902247i | \(0.641916\pi\) | |||||||
\(284\) | 53.4030 | + | 368.610i | 0.188039 | + | 1.29792i | ||||
\(285\) | −101.583 | + | 123.109i | −0.356431 | + | 0.431962i | ||||
\(286\) | −0.956765 | − | 1.90881i | −0.00334533 | − | 0.00667415i | ||||
\(287\) | 241.815i | 0.842560i | ||||||||
\(288\) | −233.155 | − | 169.064i | −0.809567 | − | 0.587028i | ||||
\(289\) | −288.813 | −0.999352 | ||||||||
\(290\) | −20.8576 | + | 10.4546i | −0.0719226 | + | 0.0360503i | ||||
\(291\) | 156.732 | + | 129.326i | 0.538598 | + | 0.444421i | ||||
\(292\) | −13.0438 | − | 90.0341i | −0.0446707 | − | 0.308336i | ||||
\(293\) | −23.9730 | + | 57.8759i | −0.0818191 | + | 0.197529i | −0.959495 | − | 0.281726i | \(-0.909093\pi\) |
0.877676 | + | 0.479255i | \(0.159093\pi\) | |||||||
\(294\) | −28.5069 | − | 6.53197i | −0.0969621 | − | 0.0222176i | ||||
\(295\) | 84.1549 | + | 84.1549i | 0.285271 | + | 0.285271i | ||||
\(296\) | −43.2147 | − | 27.6740i | −0.145996 | − | 0.0934932i | ||||
\(297\) | −8.95075 | + | 7.22685i | −0.0301372 | + | 0.0243328i | ||||
\(298\) | 23.0638 | + | 320.055i | 0.0773953 | + | 1.07401i | ||||
\(299\) | −101.746 | − | 42.1446i | −0.340287 | − | 0.140952i | ||||
\(300\) | −212.124 | − | 128.893i | −0.707080 | − | 0.429642i | ||||
\(301\) | 469.350 | − | 194.411i | 1.55930 | − | 0.645884i | ||||
\(302\) | 328.391 | + | 109.103i | 1.08739 | + | 0.361267i | ||||
\(303\) | 81.0049 | − | 43.0212i | 0.267343 | − | 0.141984i | ||||
\(304\) | −257.802 | − | 318.508i | −0.848034 | − | 1.04772i | ||||
\(305\) | 179.123 | 0.587287 | ||||||||
\(306\) | 6.17369 | − | 4.74867i | 0.0201754 | − | 0.0155185i | ||||
\(307\) | 1.24681 | − | 0.516444i | 0.00406125 | − | 0.00168223i | −0.380652 | − | 0.924718i | \(-0.624300\pi\) |
0.384713 | + | 0.923036i | \(0.374300\pi\) | |||||||
\(308\) | −10.9726 | − | 2.78801i | −0.0356252 | − | 0.00905198i | ||||
\(309\) | 33.2089 | + | 346.632i | 0.107472 | + | 1.12179i | ||||
\(310\) | −169.059 | + | 12.1828i | −0.545353 | + | 0.0392993i | ||||
\(311\) | 341.758 | + | 341.758i | 1.09890 | + | 1.09890i | 0.994539 | + | 0.104362i | \(0.0332800\pi\) |
0.104362 | + | 0.994539i | \(0.466720\pi\) | |||||||
\(312\) | 53.5029 | + | 27.4523i | 0.171484 | + | 0.0879882i | ||||
\(313\) | 141.248 | + | 141.248i | 0.451272 | + | 0.451272i | 0.895777 | − | 0.444504i | \(-0.146620\pi\) |
−0.444504 | + | 0.895777i | \(0.646620\pi\) | |||||||
\(314\) | 249.469 | − | 288.216i | 0.794487 | − | 0.917884i | ||||
\(315\) | −68.4487 | − | 103.631i | −0.217297 | − | 0.328986i | ||||
\(316\) | −146.253 | − | 109.239i | −0.462827 | − | 0.345692i | ||||
\(317\) | 400.350 | − | 165.831i | 1.26293 | − | 0.523125i | 0.352126 | − | 0.935953i | \(-0.385459\pi\) |
0.910809 | + | 0.412828i | \(0.135459\pi\) | |||||||
\(318\) | 260.141 | − | 365.976i | 0.818054 | − | 1.15087i | ||||
\(319\) | −2.39262 | −0.00750037 | ||||||||
\(320\) | −90.2819 | + | 97.5994i | −0.282131 | + | 0.304998i | ||||
\(321\) | 278.079 | + | 523.597i | 0.866291 | + | 1.63114i | ||||
\(322\) | −522.027 | + | 261.659i | −1.62120 | + | 0.812607i | ||||
\(323\) | 10.2383 | − | 4.24083i | 0.0316974 | − | 0.0131295i | ||||
\(324\) | 83.1284 | − | 313.154i | 0.256569 | − | 0.966526i | ||||
\(325\) | 47.8822 | + | 19.8335i | 0.147330 | + | 0.0610260i | ||||
\(326\) | −189.098 | + | 218.468i | −0.580055 | + | 0.670147i | ||||
\(327\) | 80.1024 | + | 24.5318i | 0.244961 | + | 0.0750208i | ||||
\(328\) | 166.477 | + | 238.949i | 0.507553 | + | 0.728503i | ||||
\(329\) | −152.413 | − | 152.413i | −0.463262 | − | 0.463262i | ||||
\(330\) | 2.82167 | + | 4.49914i | 0.00855053 | + | 0.0136338i | ||||
\(331\) | −1.03265 | + | 2.49305i | −0.00311980 | + | 0.00753187i | −0.925432 | − | 0.378914i | \(-0.876298\pi\) |
0.922312 | + | 0.386446i | \(0.126298\pi\) | |||||||
\(332\) | 149.183 | + | 37.9057i | 0.449346 | + | 0.114174i | ||||
\(333\) | 11.5640 | − | 56.5608i | 0.0347267 | − | 0.169852i | ||||
\(334\) | −230.209 | − | 76.4835i | −0.689249 | − | 0.228992i | ||||
\(335\) | 104.015 | 0.310492 | ||||||||
\(336\) | 295.718 | − | 119.234i | 0.880112 | − | 0.354863i | ||||
\(337\) | 140.512i | 0.416950i | 0.978028 | + | 0.208475i | \(0.0668501\pi\) | ||||
−0.978028 | + | 0.208475i | \(0.933150\pi\) | |||||||
\(338\) | 308.845 | + | 102.609i | 0.913742 | + | 0.303577i | ||||
\(339\) | −268.285 | − | 221.374i | −0.791402 | − | 0.653020i | ||||
\(340\) | −1.83805 | − | 3.09029i | −0.00540604 | − | 0.00908910i | ||||
\(341\) | −16.0590 | − | 6.65186i | −0.0470939 | − | 0.0195069i | ||||
\(342\) | 230.029 | − | 399.496i | 0.672600 | − | 1.16812i | ||||
\(343\) | 253.054 | − | 253.054i | 0.737765 | − | 0.737765i | ||||
\(344\) | 329.945 | − | 515.231i | 0.959142 | − | 1.49776i | ||||
\(345\) | 261.914 | + | 80.2127i | 0.759171 | + | 0.232501i | ||||
\(346\) | 258.157 | − | 298.253i | 0.746119 | − | 0.862003i | ||||
\(347\) | −148.332 | + | 358.105i | −0.427470 | + | 1.03200i | 0.552617 | + | 0.833435i | \(0.313629\pi\) |
−0.980087 | + | 0.198568i | \(0.936371\pi\) | |||||||
\(348\) | 54.3664 | − | 39.8135i | 0.156225 | − | 0.114406i | ||||
\(349\) | 115.479 | + | 278.790i | 0.330884 | + | 0.798825i | 0.998523 | + | 0.0543391i | \(0.0173052\pi\) |
−0.667638 | + | 0.744486i | \(0.732695\pi\) | |||||||
\(350\) | 245.669 | − | 123.138i | 0.701911 | − | 0.351824i | ||||
\(351\) | −7.16843 | + | 67.2708i | −0.0204229 | + | 0.191655i | ||||
\(352\) | −12.7619 | + | 4.79909i | −0.0362555 | + | 0.0136338i | ||||
\(353\) | − | 136.228i | − | 0.385915i | −0.981207 | − | 0.192958i | \(-0.938192\pi\) | ||
0.981207 | − | 0.192958i | \(-0.0618080\pi\) | |||||||
\(354\) | −280.170 | − | 199.149i | −0.791442 | − | 0.562569i | ||||
\(355\) | 74.0245 | + | 178.711i | 0.208520 | + | 0.503411i | ||||
\(356\) | −84.4794 | − | 583.113i | −0.237302 | − | 1.63796i | ||||
\(357\) | 0.822362 | + | 8.58375i | 0.00230353 | + | 0.0240441i | ||||
\(358\) | −133.845 | + | 154.634i | −0.373870 | + | 0.431938i | ||||
\(359\) | −293.915 | + | 293.915i | −0.818705 | + | 0.818705i | −0.985920 | − | 0.167215i | \(-0.946523\pi\) |
0.167215 | + | 0.985920i | \(0.446523\pi\) | |||||||
\(360\) | −138.982 | − | 55.2791i | −0.386061 | − | 0.153553i | ||||
\(361\) | 208.523 | − | 208.523i | 0.577625 | − | 0.577625i | ||||
\(362\) | −51.2634 | + | 3.69415i | −0.141612 | + | 0.0102048i | ||||
\(363\) | −34.5666 | − | 360.803i | −0.0952247 | − | 0.993949i | ||||
\(364\) | −57.2201 | + | 34.0335i | −0.157198 | + | 0.0934987i | ||||
\(365\) | −18.0807 | − | 43.6507i | −0.0495362 | − | 0.119591i | ||||
\(366\) | −510.113 | + | 86.2262i | −1.39375 | + | 0.235591i | ||||
\(367\) | 316.411i | 0.862154i | 0.902315 | + | 0.431077i | \(0.141866\pi\) | ||||
−0.902315 | + | 0.431077i | \(0.858134\pi\) | |||||||
\(368\) | −335.701 | + | 617.948i | −0.912231 | + | 1.67921i | ||||
\(369\) | −183.467 | + | 271.439i | −0.497202 | + | 0.735607i | ||||
\(370\) | −25.2917 | − | 8.40276i | −0.0683558 | − | 0.0227102i | ||||
\(371\) | 190.236 | + | 459.270i | 0.512765 | + | 1.23792i | ||||
\(372\) | 475.590 | − | 116.077i | 1.27847 | − | 0.312034i | ||||
\(373\) | 95.6414 | − | 230.899i | 0.256411 | − | 0.619031i | −0.742285 | − | 0.670085i | \(-0.766258\pi\) |
0.998696 | + | 0.0510533i | \(0.0162578\pi\) | |||||||
\(374\) | −0.0265029 | − | 0.367779i | −7.08634e−5 | − | 0.000983366i | ||||
\(375\) | −272.233 | − | 83.3728i | −0.725953 | − | 0.222327i | ||||
\(376\) | −255.536 | − | 45.6780i | −0.679616 | − | 0.121484i | ||||
\(377\) | −9.94914 | + | 9.94914i | −0.0263903 | + | 0.0263903i | ||||
\(378\) | 244.817 | + | 262.174i | 0.647664 | + | 0.693582i | ||||
\(379\) | −259.429 | − | 107.459i | −0.684509 | − | 0.283533i | 0.0132015 | − | 0.999913i | \(-0.495798\pi\) |
−0.697710 | + | 0.716380i | \(0.745798\pi\) | |||||||
\(380\) | −170.502 | − | 127.350i | −0.448688 | − | 0.335131i | ||||
\(381\) | −246.122 | − | 203.086i | −0.645991 | − | 0.533035i | ||||
\(382\) | −287.569 | + | 144.140i | −0.752798 | + | 0.377330i | ||||
\(383\) | − | 205.284i | − | 0.535990i | −0.963420 | − | 0.267995i | \(-0.913639\pi\) | ||
0.963420 | − | 0.267995i | \(-0.0863611\pi\) | |||||||
\(384\) | 210.126 | − | 321.408i | 0.547204 | − | 0.836999i | ||||
\(385\) | −5.87965 | −0.0152718 | ||||||||
\(386\) | 147.280 | + | 293.833i | 0.381555 | + | 0.761226i | ||||
\(387\) | 674.350 | + | 137.873i | 1.74251 | + | 0.356260i | ||||
\(388\) | −162.131 | + | 217.068i | −0.417863 | + | 0.559454i | ||||
\(389\) | −180.927 | + | 436.798i | −0.465109 | + | 1.12287i | 0.501164 | + | 0.865353i | \(0.332905\pi\) |
−0.966273 | + | 0.257520i | \(0.917095\pi\) | |||||||
\(390\) | 30.4419 | + | 6.97536i | 0.0780562 | + | 0.0178855i | ||||
\(391\) | −13.4483 | − | 13.4483i | −0.0343945 | − | 0.0343945i | ||||
\(392\) | 6.86161 | − | 38.3857i | 0.0175041 | − | 0.0979228i | ||||
\(393\) | −397.575 | − | 121.760i | −1.01164 | − | 0.309821i | ||||
\(394\) | −77.2913 | + | 5.56977i | −0.196171 | + | 0.0141365i | ||||
\(395\) | −87.5882 | − | 36.2802i | −0.221742 | − | 0.0918487i | ||||
\(396\) | −10.2015 | − | 11.4546i | −0.0257613 | − | 0.0289256i | ||||
\(397\) | −50.9762 | + | 21.1150i | −0.128404 | + | 0.0531865i | −0.445960 | − | 0.895053i | \(-0.647138\pi\) |
0.317557 | + | 0.948239i | \(0.397138\pi\) | |||||||
\(398\) | −30.9733 | + | 93.2271i | −0.0778223 | + | 0.234239i | ||||
\(399\) | 239.387 | + | 450.744i | 0.599969 | + | 1.12968i | ||||
\(400\) | 157.983 | − | 290.810i | 0.394957 | − | 0.727024i | ||||
\(401\) | −380.473 | −0.948811 | −0.474405 | − | 0.880306i | \(-0.657337\pi\) | ||||
−0.474405 | + | 0.880306i | \(0.657337\pi\) | |||||||
\(402\) | −296.218 | + | 50.0708i | −0.736861 | + | 0.124554i | ||||
\(403\) | −94.4379 | + | 39.1174i | −0.234337 | + | 0.0970656i | ||||
\(404\) | 62.5159 | + | 105.107i | 0.154742 | + | 0.260166i | ||||
\(405\) | 1.79156 | − | 168.259i | 0.00442360 | − | 0.415454i | ||||
\(406\) | 5.36221 | + | 74.4110i | 0.0132074 | + | 0.183278i | ||||
\(407\) | −1.93258 | − | 1.93258i | −0.00474836 | − | 0.00474836i | ||||
\(408\) | 6.72210 | + | 7.91587i | 0.0164757 | + | 0.0194016i | ||||
\(409\) | 27.3084 | + | 27.3084i | 0.0667687 | + | 0.0667687i | 0.739703 | − | 0.672934i | \(-0.234966\pi\) |
−0.672934 | + | 0.739703i | \(0.734966\pi\) | |||||||
\(410\) | 114.358 | + | 98.9838i | 0.278921 | + | 0.241424i | ||||
\(411\) | 66.4068 | + | 693.150i | 0.161574 | + | 1.68650i | ||||
\(412\) | −459.495 | + | 66.5701i | −1.11528 | + | 0.161578i | ||||
\(413\) | 351.591 | − | 145.634i | 0.851310 | − | 0.352624i | ||||
\(414\) | −784.503 | − | 102.353i | −1.89493 | − | 0.247229i | ||||
\(415\) | 79.9395 | 0.192625 | ||||||||
\(416\) | −33.1116 | + | 73.0234i | −0.0795951 | + | 0.175537i | ||||
\(417\) | −376.461 | + | 199.936i | −0.902784 | + | 0.479463i | ||||
\(418\) | −9.77930 | − | 19.5103i | −0.0233955 | − | 0.0466754i | ||||
\(419\) | 110.034 | − | 45.5777i | 0.262612 | − | 0.108777i | −0.247493 | − | 0.968890i | \(-0.579607\pi\) |
0.510105 | + | 0.860112i | \(0.329607\pi\) | |||||||
\(420\) | 133.601 | − | 97.8380i | 0.318097 | − | 0.232948i | ||||
\(421\) | −472.694 | − | 195.796i | −1.12279 | − | 0.465074i | −0.257465 | − | 0.966288i | \(-0.582887\pi\) |
−0.865324 | + | 0.501213i | \(0.832887\pi\) | |||||||
\(422\) | 13.2922 | + | 11.5053i | 0.0314982 | + | 0.0272637i | ||||
\(423\) | −55.4475 | − | 286.722i | −0.131081 | − | 0.677830i | ||||
\(424\) | 504.166 | + | 322.859i | 1.18907 | + | 0.761460i | ||||
\(425\) | 6.32882 | + | 6.32882i | 0.0148914 | + | 0.0148914i | ||||
\(426\) | −296.838 | − | 473.307i | −0.696803 | − | 1.11105i | ||||
\(427\) | 219.189 | − | 529.168i | 0.513322 | − | 1.23927i | ||||
\(428\) | −679.389 | + | 404.089i | −1.58736 | + | 0.944133i | ||||
\(429\) | 2.47034 | + | 2.03839i | 0.00575838 | + | 0.00475148i | ||||
\(430\) | 100.183 | − | 301.542i | 0.232983 | − | 0.701259i | ||||
\(431\) | 80.7430 | 0.187339 | 0.0936694 | − | 0.995603i | \(-0.470140\pi\) | ||||
0.0936694 | + | 0.995603i | \(0.470140\pi\) | |||||||
\(432\) | 422.409 | + | 90.5229i | 0.977799 | + | 0.209544i | ||||
\(433\) | − | 764.221i | − | 1.76494i | −0.470365 | − | 0.882472i | \(-0.655878\pi\) | ||
0.470365 | − | 0.882472i | \(-0.344122\pi\) | |||||||
\(434\) | −170.884 | + | 514.347i | −0.393742 | + | 1.18513i | ||||
\(435\) | 22.2735 | − | 26.9935i | 0.0512034 | − | 0.0620540i | ||||
\(436\) | −27.5076 | + | 108.260i | −0.0630908 | + | 0.248302i | ||||
\(437\) | −1039.97 | − | 430.769i | −2.37979 | − | 0.985741i | ||||
\(438\) | 72.5036 | + | 115.607i | 0.165533 | + | 0.263942i | ||||
\(439\) | −331.477 | + | 331.477i | −0.755072 | + | 0.755072i | −0.975421 | − | 0.220349i | \(-0.929280\pi\) |
0.220349 | + | 0.975421i | \(0.429280\pi\) | |||||||
\(440\) | −5.80996 | + | 4.04784i | −0.0132045 | + | 0.00919964i | ||||
\(441\) | 43.0705 | − | 8.32914i | 0.0976655 | − | 0.0188869i | ||||
\(442\) | −1.63953 | − | 1.41912i | −0.00370934 | − | 0.00321067i | ||||
\(443\) | 261.149 | − | 630.470i | 0.589501 | − | 1.42318i | −0.294479 | − | 0.955658i | \(-0.595146\pi\) |
0.883980 | − | 0.467524i | \(-0.154854\pi\) | |||||||
\(444\) | 76.0716 | + | 11.7548i | 0.171332 | + | 0.0264748i | ||||
\(445\) | −117.101 | − | 282.707i | −0.263149 | − | 0.635297i | ||||
\(446\) | −105.100 | − | 209.681i | −0.235650 | − | 0.470137i | ||||
\(447\) | −225.765 | − | 425.095i | −0.505067 | − | 0.950995i | ||||
\(448\) | 177.854 | + | 386.144i | 0.396996 | + | 0.861928i | ||||
\(449\) | − | 90.5080i | − | 0.201577i | −0.994908 | − | 0.100788i | \(-0.967863\pi\) | ||
0.994908 | − | 0.100788i | \(-0.0321365\pi\) | |||||||
\(450\) | 369.191 | + | 48.1677i | 0.820425 | + | 0.107039i | ||||
\(451\) | 5.93559 | + | 14.3298i | 0.0131610 | + | 0.0317734i | ||||
\(452\) | 277.527 | − | 371.565i | 0.613997 | − | 0.822046i | ||||
\(453\) | −516.695 | + | 49.5016i | −1.14061 | + | 0.109275i | ||||
\(454\) | 382.546 | + | 331.118i | 0.842613 | + | 0.729335i | ||||
\(455\) | −24.4491 | + | 24.4491i | −0.0537343 | + | 0.0537343i | ||||
\(456\) | 546.865 | + | 280.596i | 1.19927 | + | 0.615342i | ||||
\(457\) | 393.046 | − | 393.046i | 0.860057 | − | 0.860057i | −0.131287 | − | 0.991344i | \(-0.541911\pi\) |
0.991344 | + | 0.131287i | \(0.0419111\pi\) | |||||||
\(458\) | −32.3717 | − | 449.220i | −0.0706806 | − | 0.980829i | ||||
\(459\) | −5.58947 | + | 10.2593i | −0.0121775 | + | 0.0223513i | ||||
\(460\) | −89.9427 | + | 353.981i | −0.195528 | + | 0.769523i | ||||
\(461\) | −230.614 | − | 556.752i | −0.500248 | − | 1.20771i | −0.949349 | − | 0.314224i | \(-0.898256\pi\) |
0.449101 | − | 0.893481i | \(-0.351744\pi\) | |||||||
\(462\) | 16.7443 | − | 2.83035i | 0.0362431 | − | 0.00612630i | ||||
\(463\) | 113.653i | 0.245471i | 0.992439 | + | 0.122735i | \(0.0391666\pi\) | ||||
−0.992439 | + | 0.122735i | \(0.960833\pi\) | |||||||
\(464\) | 56.5269 | + | 69.8375i | 0.121825 | + | 0.150512i | ||||
\(465\) | 224.544 | − | 119.254i | 0.482890 | − | 0.256460i | ||||
\(466\) | 127.145 | − | 382.697i | 0.272843 | − | 0.821238i | ||||
\(467\) | 341.597 | + | 824.689i | 0.731472 | + | 1.76593i | 0.637632 | + | 0.770341i | \(0.279914\pi\) |
0.0938398 | + | 0.995587i | \(0.470086\pi\) | |||||||
\(468\) | −90.0516 | − | 5.21057i | −0.192418 | − | 0.0111337i | ||||
\(469\) | 127.281 | − | 307.284i | 0.271388 | − | 0.655189i | ||||
\(470\) | −134.467 | + | 9.68995i | −0.286099 | + | 0.0206169i | ||||
\(471\) | −167.435 | + | 546.715i | −0.355488 | + | 1.16075i | ||||
\(472\) | 247.163 | − | 385.961i | 0.523650 | − | 0.817713i | ||||
\(473\) | 23.0413 | − | 23.0413i | 0.0487132 | − | 0.0487132i | ||||
\(474\) | 266.902 | + | 61.1571i | 0.563085 | + | 0.129023i | ||||
\(475\) | 489.414 | + | 202.722i | 1.03035 | + | 0.426783i | ||||
\(476\) | −11.3786 | + | 1.64849i | −0.0239046 | + | 0.00346322i | ||||
\(477\) | −134.912 | + | 659.868i | −0.282834 | + | 1.38337i | ||||
\(478\) | 340.823 | + | 679.963i | 0.713018 | + | 1.42252i | ||||
\(479\) | − | 484.285i | − | 1.01103i | −0.862817 | − | 0.505516i | \(-0.831302\pi\) | ||
0.862817 | − | 0.505516i | \(-0.168698\pi\) | |||||||
\(480\) | 64.6607 | − | 188.656i | 0.134710 | − | 0.393033i | ||||
\(481\) | −16.0724 | −0.0334145 | ||||||||
\(482\) | −325.534 | + | 163.170i | −0.675381 | + | 0.338526i | ||||
\(483\) | 557.465 | − | 675.598i | 1.15417 | − | 1.39875i | ||||
\(484\) | 478.281 | − | 69.2916i | 0.988183 | − | 0.143165i | ||||
\(485\) | −53.8468 | + | 129.998i | −0.111024 | + | 0.268037i | ||||
\(486\) | 75.8946 | + | 480.038i | 0.156162 | + | 0.987732i | ||||
\(487\) | −413.357 | − | 413.357i | −0.848783 | − | 0.848783i | 0.141198 | − | 0.989981i | \(-0.454905\pi\) |
−0.989981 | + | 0.141198i | \(0.954905\pi\) | |||||||
\(488\) | −147.715 | − | 673.797i | −0.302694 | − | 1.38073i | ||||
\(489\) | 126.916 | − | 414.411i | 0.259542 | − | 0.847467i | ||||
\(490\) | −1.45559 | − | 20.1991i | −0.00297060 | − | 0.0412228i | ||||
\(491\) | 409.376 | + | 169.569i | 0.833759 | + | 0.345354i | 0.758390 | − | 0.651801i | \(-0.225986\pi\) |
0.0753695 | + | 0.997156i | \(0.475986\pi\) | |||||||
\(492\) | −373.321 | − | 226.841i | −0.758783 | − | 0.461058i | ||||
\(493\) | −2.24489 | + | 0.929864i | −0.00455353 | + | 0.00188613i | ||||
\(494\) | −121.794 | − | 40.4642i | −0.246547 | − | 0.0819113i | ||||
\(495\) | −6.59995 | − | 4.46095i | −0.0133332 | − | 0.00901201i | ||||
\(496\) | 185.244 | + | 625.897i | 0.373475 | + | 1.26189i | ||||
\(497\) | 618.535 | 1.24454 | ||||||||
\(498\) | −227.655 | + | 38.4814i | −0.457139 | + | 0.0772718i | ||||
\(499\) | 144.183 | − | 59.7225i | 0.288944 | − | 0.119684i | −0.233504 | − | 0.972356i | \(-0.575019\pi\) |
0.522447 | + | 0.852671i | \(0.325019\pi\) | |||||||
\(500\) | 93.4861 | − | 367.926i | 0.186972 | − | 0.735853i | ||||
\(501\) | 362.215 | − | 34.7018i | 0.722983 | − | 0.0692650i | ||||
\(502\) | −504.996 | + | 36.3911i | −1.00597 | + | 0.0724922i | ||||
\(503\) | 128.659 | + | 128.659i | 0.255783 | + | 0.255783i | 0.823337 | − | 0.567553i | \(-0.192110\pi\) |
−0.567553 | + | 0.823337i | \(0.692110\pi\) | |||||||
\(504\) | −333.376 | + | 342.940i | −0.661461 | + | 0.680437i | ||||
\(505\) | 44.9104 | + | 44.9104i | 0.0889315 | + | 0.0889315i | ||||
\(506\) | −24.5123 | + | 28.3195i | −0.0484433 | + | 0.0559673i | ||||
\(507\) | −485.941 | + | 46.5553i | −0.958463 | + | 0.0918250i | ||||
\(508\) | 254.600 | − | 340.870i | 0.501182 | − | 0.671004i | ||||
\(509\) | 749.571 | − | 310.482i | 1.47263 | − | 0.609985i | 0.505176 | − | 0.863016i | \(-0.331428\pi\) |
0.967458 | + | 0.253031i | \(0.0814275\pi\) | |||||||
\(510\) | 4.39600 | + | 3.12474i | 0.00861961 | + | 0.00612694i | ||||
\(511\) | −151.079 | −0.295653 | ||||||||
\(512\) | 441.587 | + | 259.123i | 0.862475 | + | 0.506100i | ||||
\(513\) | −73.2701 | + | 687.589i | −0.142827 | + | 1.34033i | ||||
\(514\) | −256.887 | + | 128.761i | −0.499780 | + | 0.250508i | ||||
\(515\) | −222.774 | + | 92.2760i | −0.432571 | + | 0.179177i | ||||
\(516\) | −140.148 | + | 906.969i | −0.271604 | + | 1.75769i | ||||
\(517\) | −12.7730 | − | 5.29077i | −0.0247061 | − | 0.0102336i | ||||
\(518\) | −55.7725 | + | 64.4349i | −0.107669 | + | 0.124392i | ||||
\(519\) | −173.266 | + | 565.755i | −0.333846 | + | 1.09009i | ||||
\(520\) | −7.32737 | + | 40.9914i | −0.0140911 | + | 0.0788296i | ||||
\(521\) | −507.166 | − | 507.166i | −0.973447 | − | 0.973447i | 0.0262099 | − | 0.999656i | \(-0.491656\pi\) |
−0.999656 | + | 0.0262099i | \(0.991656\pi\) | |||||||
\(522\) | −50.4373 | + | 87.5953i | −0.0966231 | + | 0.167807i | ||||
\(523\) | 134.131 | − | 323.820i | 0.256464 | − | 0.619159i | −0.742236 | − | 0.670139i | \(-0.766235\pi\) |
0.998700 | + | 0.0509803i | \(0.0162346\pi\) | |||||||
\(524\) | 136.529 | − | 537.328i | 0.260552 | − | 1.02544i | ||||
\(525\) | −262.346 | + | 317.940i | −0.499707 | + | 0.605600i | ||||
\(526\) | −27.7190 | − | 9.20920i | −0.0526977 | − | 0.0175080i | ||||
\(527\) | −17.6527 | −0.0334965 | ||||||||
\(528\) | 14.5973 | − | 14.3244i | 0.0276464 | − | 0.0271296i | ||||
\(529\) | 1402.85i | 2.65190i | ||||||||
\(530\) | 295.066 | + | 98.0311i | 0.556728 | + | 0.184964i | ||||
\(531\) | 505.157 | + | 103.281i | 0.951332 | + | 0.194502i | ||||
\(532\) | −584.859 | + | 347.864i | −1.09936 | + | 0.653880i | ||||
\(533\) | 84.2688 | + | 34.9053i | 0.158103 | + | 0.0654883i | ||||
\(534\) | 469.575 | + | 748.735i | 0.879355 | + | 1.40213i | ||||
\(535\) | −290.291 | + | 290.291i | −0.542600 | + | 0.542600i | ||||
\(536\) | −85.7768 | − | 391.268i | −0.160031 | − | 0.729978i | ||||
\(537\) | 89.8322 | − | 293.324i | 0.167285 | − | 0.546227i | ||||
\(538\) | −41.9889 | + | 48.5104i | −0.0780462 | + | 0.0901681i | ||||
\(539\) | 0.794762 | − | 1.91872i | 0.00147451 | − | 0.00355979i | ||||
\(540\) | 224.198 | − | 8.45973i | 0.415182 | − | 0.0156662i | ||||
\(541\) | −93.4100 | − | 225.512i | −0.172662 | − | 0.416842i | 0.813733 | − | 0.581240i | \(-0.197432\pi\) |
−0.986394 | + | 0.164397i | \(0.947432\pi\) | |||||||
\(542\) | −444.479 | + | 222.789i | −0.820071 | + | 0.411050i | ||||
\(543\) | 68.0878 | − | 36.1610i | 0.125392 | − | 0.0665948i | ||||
\(544\) | −10.1089 | + | 9.46256i | −0.0185825 | + | 0.0173944i | ||||
\(545\) | 58.0109i | 0.106442i | ||||||||
\(546\) | 57.8579 | − | 81.3966i | 0.105967 | − | 0.149078i | ||||
\(547\) | 54.1278 | + | 130.676i | 0.0989540 | + | 0.238896i | 0.965602 | − | 0.260023i | \(-0.0837303\pi\) |
−0.866648 | + | 0.498920i | \(0.833730\pi\) | |||||||
\(548\) | −918.838 | + | 133.118i | −1.67671 | + | 0.242916i | ||||
\(549\) | 647.526 | − | 427.695i | 1.17946 | − | 0.779043i | ||||
\(550\) | 11.5356 | − | 13.3273i | 0.0209738 | − | 0.0242314i | ||||
\(551\) | −101.692 | + | 101.692i | −0.184560 | + | 0.184560i | ||||
\(552\) | 85.7430 | − | 1051.38i | 0.155331 | − | 1.90467i | ||||
\(553\) | −214.360 | + | 214.360i | −0.387631 | + | 0.387631i | ||||
\(554\) | 680.119 | − | 49.0108i | 1.22765 | − | 0.0884671i | ||||
\(555\) | 39.7942 | − | 3.81247i | 0.0717013 | − | 0.00686931i | ||||
\(556\) | −290.536 | − | 488.473i | −0.522546 | − | 0.878549i | ||||
\(557\) | 15.8639 | + | 38.2988i | 0.0284810 | + | 0.0687591i | 0.937480 | − | 0.348039i | \(-0.113152\pi\) |
−0.908999 | + | 0.416798i | \(0.863152\pi\) | |||||||
\(558\) | −582.059 | + | 447.707i | −1.04312 | + | 0.802343i | ||||
\(559\) | − | 191.624i | − | 0.342798i | ||||||
\(560\) | 138.910 | + | 171.619i | 0.248053 | + | 0.306463i | ||||
\(561\) | 0.259430 | + | 0.488482i | 0.000462441 | + | 0.000870734i | ||||
\(562\) | −121.452 | − | 40.3506i | −0.216107 | − | 0.0717983i | ||||
\(563\) | 58.1090 | + | 140.287i | 0.103213 | + | 0.249178i | 0.967047 | − | 0.254599i | \(-0.0819433\pi\) |
−0.863834 | + | 0.503777i | \(0.831943\pi\) | |||||||
\(564\) | 378.275 | − | 92.3251i | 0.670701 | − | 0.163697i | ||||
\(565\) | 92.1720 | − | 222.523i | 0.163136 | − | 0.393846i | ||||
\(566\) | 4.32200 | + | 59.9760i | 0.00763604 | + | 0.105965i | ||||
\(567\) | −494.882 | − | 211.188i | −0.872809 | − | 0.372465i | ||||
\(568\) | 611.204 | − | 425.830i | 1.07606 | − | 0.749701i | ||||
\(569\) | −627.070 | + | 627.070i | −1.10206 | + | 1.10206i | −0.107893 | + | 0.994162i | \(0.534410\pi\) |
−0.994162 | + | 0.107893i | \(0.965590\pi\) | |||||||
\(570\) | 311.153 | + | 71.2967i | 0.545883 | + | 0.125082i | ||||
\(571\) | −237.127 | − | 98.2211i | −0.415283 | − | 0.172016i | 0.165252 | − | 0.986251i | \(-0.447156\pi\) |
−0.580535 | + | 0.814236i | \(0.697156\pi\) | |||||||
\(572\) | −2.55544 | + | 3.42133i | −0.00446755 | + | 0.00598135i | ||||
\(573\) | 307.091 | − | 372.166i | 0.535935 | − | 0.649505i | ||||
\(574\) | 432.357 | − | 216.714i | 0.753236 | − | 0.377550i | ||||
\(575\) | − | 909.141i | − | 1.58112i | ||||||
\(576\) | −93.3283 | + | 568.389i | −0.162028 | + | 0.986786i | ||||
\(577\) | 1017.18 | 1.76287 | 0.881435 | − | 0.472305i | \(-0.156578\pi\) | ||||
0.881435 | + | 0.472305i | \(0.156578\pi\) | |||||||
\(578\) | 258.833 | + | 516.388i | 0.447808 | + | 0.893405i | ||||
\(579\) | −380.274 | − | 313.780i | −0.656777 | − | 0.541935i | ||||
\(580\) | 37.3850 | + | 27.9233i | 0.0644568 | + | 0.0481436i | ||||
\(581\) | 97.8204 | − | 236.159i | 0.168366 | − | 0.406470i | ||||
\(582\) | 90.7689 | − | 396.134i | 0.155960 | − | 0.680643i | ||||
\(583\) | 22.5465 | + | 22.5465i | 0.0386733 | + | 0.0386733i | ||||
\(584\) | −149.288 | + | 104.010i | −0.255631 | + | 0.178100i | ||||
\(585\) | −45.9941 | + | 8.89452i | −0.0786224 | + | 0.0152043i | ||||
\(586\) | 124.965 | − | 9.00523i | 0.213251 | − | 0.0153673i | ||||
\(587\) | −578.215 | − | 239.505i | −0.985035 | − | 0.408015i | −0.168747 | − | 0.985659i | \(-0.553972\pi\) |
−0.816288 | + | 0.577645i | \(0.803972\pi\) | |||||||
\(588\) | 13.8688 | + | 56.8233i | 0.0235864 | + | 0.0966383i | ||||
\(589\) | −965.270 | + | 399.828i | −1.63883 | + | 0.678825i | ||||
\(590\) | 75.0470 | − | 225.886i | 0.127198 | − | 0.382857i | ||||
\(591\) | 102.658 | − | 54.5209i | 0.173702 | − | 0.0922520i | ||||
\(592\) | −10.7513 | + | 102.068i | −0.0181610 | + | 0.172412i | ||||
\(593\) | −99.4042 | −0.167629 | −0.0838147 | − | 0.996481i | \(-0.526710\pi\) | ||||
−0.0838147 | + | 0.996481i | \(0.526710\pi\) | |||||||
\(594\) | 20.9430 | + | 9.52699i | 0.0352576 | + | 0.0160387i | ||||
\(595\) | −5.51662 | + | 2.28506i | −0.00927163 | + | 0.00384043i | ||||
\(596\) | 551.578 | − | 328.069i | 0.925466 | − | 0.550451i | ||||
\(597\) | −14.0531 | − | 146.685i | −0.0235395 | − | 0.245703i | ||||
\(598\) | 15.8312 | + | 219.688i | 0.0264736 | + | 0.367372i | ||||
\(599\) | 613.438 | + | 613.438i | 1.02410 | + | 1.02410i | 0.999702 | + | 0.0244012i | \(0.00776792\pi\) |
0.0244012 | + | 0.999702i | \(0.492232\pi\) | |||||||
\(600\) | −40.3511 | + | 494.784i | −0.0672518 | + | 0.824640i | ||||
\(601\) | 537.631 | + | 537.631i | 0.894561 | + | 0.894561i | 0.994948 | − | 0.100388i | \(-0.0320083\pi\) |
−0.100388 | + | 0.994948i | \(0.532008\pi\) | |||||||
\(602\) | −768.230 | − | 664.952i | −1.27613 | − | 1.10457i | ||||
\(603\) | 376.013 | − | 248.359i | 0.623571 | − | 0.411872i | ||||
\(604\) | −99.2303 | − | 684.930i | −0.164289 | − | 1.13399i | ||||
\(605\) | 231.882 | − | 96.0485i | 0.383276 | − | 0.158758i | ||||
\(606\) | −149.517 | − | 106.279i | −0.246727 | − | 0.175377i | ||||
\(607\) | 577.880 | 0.952026 | 0.476013 | − | 0.879438i | \(-0.342081\pi\) | ||||
0.476013 | + | 0.879438i | \(0.342081\pi\) | |||||||
\(608\) | −338.441 | + | 746.388i | −0.556646 | + | 1.22761i | ||||
\(609\) | −52.4892 | − | 98.8323i | −0.0861892 | − | 0.162286i | ||||
\(610\) | −160.529 | − | 320.266i | −0.263162 | − | 0.525026i | ||||
\(611\) | −75.1141 | + | 31.1133i | −0.122936 | + | 0.0509219i | ||||
\(612\) | −14.0233 | − | 6.78262i | −0.0229139 | − | 0.0110827i | ||||
\(613\) | −880.126 | − | 364.560i | −1.43577 | − | 0.594715i | −0.477000 | − | 0.878903i | \(-0.658276\pi\) |
−0.958768 | + | 0.284189i | \(0.908276\pi\) | |||||||
\(614\) | −2.04077 | − | 1.76641i | −0.00332372 | − | 0.00287690i | ||||
\(615\) | −216.924 | − | 66.4344i | −0.352723 | − | 0.108023i | ||||
\(616\) | 4.84870 | + | 22.1172i | 0.00787126 | + | 0.0359045i | ||||
\(617\) | 54.0272 | + | 54.0272i | 0.0875644 | + | 0.0875644i | 0.749532 | − | 0.661968i | \(-0.230278\pi\) |
−0.661968 | + | 0.749532i | \(0.730278\pi\) | |||||||
\(618\) | 590.005 | − | 370.027i | 0.954701 | − | 0.598749i | ||||
\(619\) | −369.325 | + | 891.629i | −0.596648 | + | 1.44043i | 0.280330 | + | 0.959904i | \(0.409556\pi\) |
−0.876978 | + | 0.480531i | \(0.840444\pi\) | |||||||
\(620\) | 173.293 | + | 291.355i | 0.279505 | + | 0.469927i | ||||
\(621\) | 1138.34 | − | 335.409i | 1.83308 | − | 0.540112i | ||||
\(622\) | 304.771 | − | 917.336i | 0.489985 | − | 1.47482i | ||||
\(623\) | −978.474 | −1.57058 | ||||||||
\(624\) | 1.13474 | − | 120.264i | 0.00181849 | − | 0.192731i | ||||
\(625\) | 319.958i | 0.511933i | ||||||||
\(626\) | 125.961 | − | 379.134i | 0.201216 | − | 0.605645i | ||||
\(627\) | 25.2499 | + | 20.8348i | 0.0402710 | + | 0.0332293i | ||||
\(628\) | −738.894 | − | 187.745i | −1.17658 | − | 0.298957i | ||||
\(629\) | −2.56433 | − | 1.06218i | −0.00407684 | − | 0.00168868i | ||||
\(630\) | −123.945 | + | 215.258i | −0.196738 | + | 0.341679i | ||||
\(631\) | −234.788 | + | 234.788i | −0.372089 | + | 0.372089i | −0.868238 | − | 0.496148i | \(-0.834747\pi\) |
0.496148 | + | 0.868238i | \(0.334747\pi\) | |||||||
\(632\) | −64.2434 | + | 359.396i | −0.101651 | + | 0.568664i | ||||
\(633\) | −25.2140 | − | 7.72193i | −0.0398325 | − | 0.0121989i | ||||
\(634\) | −655.292 | − | 567.197i | −1.03358 | − | 0.894633i | ||||
\(635\) | 84.5577 | − | 204.140i | 0.133162 | − | 0.321481i | ||||
\(636\) | −887.491 | − | 137.138i | −1.39543 | − | 0.215626i | ||||
\(637\) | −4.67374 | − | 11.2834i | −0.00733711 | − | 0.0177133i | ||||
\(638\) | 2.14426 | + | 4.27793i | 0.00336090 | + | 0.00670521i | ||||
\(639\) | 694.310 | + | 469.288i | 1.08656 | + | 0.734411i | ||||
\(640\) | 255.415 | + | 73.9531i | 0.399086 | + | 0.115552i | ||||
\(641\) | 436.888i | 0.681573i | 0.940141 | + | 0.340786i | \(0.110693\pi\) | ||||
−0.940141 | + | 0.340786i | \(0.889307\pi\) | |||||||
\(642\) | 686.962 | − | 966.443i | 1.07003 | − | 1.50536i | ||||
\(643\) | −57.5794 | − | 139.009i | −0.0895480 | − | 0.216188i | 0.872760 | − | 0.488149i | \(-0.162328\pi\) |
−0.962308 | + | 0.271961i | \(0.912328\pi\) | |||||||
\(644\) | 935.678 | + | 698.870i | 1.45292 | + | 1.08520i | ||||
\(645\) | 45.4544 | + | 474.450i | 0.0704719 | + | 0.735581i | ||||
\(646\) | −16.7580 | − | 14.5051i | −0.0259411 | − | 0.0224537i | ||||
\(647\) | −446.411 | + | 446.411i | −0.689970 | + | 0.689970i | −0.962225 | − | 0.272255i | \(-0.912231\pi\) |
0.272255 | + | 0.962225i | \(0.412231\pi\) | |||||||
\(648\) | −634.410 | + | 132.017i | −0.979027 | + | 0.203730i | ||||
\(649\) | 17.2603 | − | 17.2603i | 0.0265953 | − | 0.0265953i | ||||
\(650\) | −7.45025 | − | 103.387i | −0.0114619 | − | 0.159056i | ||||
\(651\) | −77.5328 | − | 809.281i | −0.119098 | − | 1.24314i | ||||
\(652\) | 560.083 | + | 142.311i | 0.859023 | + | 0.218268i | ||||
\(653\) | 237.310 | + | 572.918i | 0.363416 | + | 0.877363i | 0.994796 | + | 0.101890i | \(0.0324888\pi\) |
−0.631380 | + | 0.775474i | \(0.717511\pi\) | |||||||
\(654\) | −27.9253 | − | 165.206i | −0.0426993 | − | 0.252608i | ||||
\(655\) | − | 287.927i | − | 0.439584i | ||||||
\(656\) | 278.037 | − | 511.802i | 0.423837 | − | 0.780185i | ||||
\(657\) | −169.587 | − | 114.625i | −0.258124 | − | 0.174467i | ||||
\(658\) | −135.918 | + | 409.102i | −0.206562 | + | 0.621736i | ||||
\(659\) | −340.627 | − | 822.347i | −0.516885 | − | 1.24787i | −0.939807 | − | 0.341705i | \(-0.888996\pi\) |
0.422922 | − | 0.906166i | \(-0.361004\pi\) | |||||||
\(660\) | 5.51555 | − | 9.07718i | 0.00835690 | − | 0.0137533i | ||||
\(661\) | 53.7475 | − | 129.758i | 0.0813123 | − | 0.196305i | −0.877995 | − | 0.478670i | \(-0.841119\pi\) |
0.959307 | + | 0.282365i | \(0.0911189\pi\) | |||||||
\(662\) | 5.38295 | − | 0.387907i | 0.00813135 | − | 0.000585962i | ||||
\(663\) | 3.11001 | + | 0.952460i | 0.00469082 | + | 0.00143659i | ||||
\(664\) | −65.9228 | − | 300.705i | −0.0992813 | − | 0.452869i | ||||
\(665\) | −249.900 | + | 249.900i | −0.375789 | + | 0.375789i | ||||
\(666\) | −111.493 | + | 30.0135i | −0.167406 | + | 0.0450653i | ||||
\(667\) | 228.028 | + | 94.4524i | 0.341871 | + | 0.141608i | ||||
\(668\) | 69.5627 | + | 480.151i | 0.104136 | + | 0.718789i | ||||
\(669\) | 271.366 | + | 223.915i | 0.405629 | + | 0.334702i | ||||
\(670\) | −93.2178 | − | 185.976i | −0.139131 | − | 0.277575i | ||||
\(671\) | − | 36.7384i | − | 0.0547517i | ||||||
\(672\) | −478.208 | − | 421.877i | −0.711619 | − | 0.627793i | ||||
\(673\) | −466.362 | −0.692960 | −0.346480 | − | 0.938057i | \(-0.612623\pi\) | ||||
−0.346480 | + | 0.938057i | \(0.612623\pi\) | |||||||
\(674\) | 251.232 | − | 125.927i | 0.372747 | − | 0.186835i | ||||
\(675\) | −535.710 | + | 157.845i | −0.793644 | + | 0.233845i | ||||
\(676\) | −93.3240 | − | 644.162i | −0.138053 | − | 0.952903i | ||||
\(677\) | −259.379 | + | 626.197i | −0.383130 | + | 0.924958i | 0.608226 | + | 0.793764i | \(0.291881\pi\) |
−0.991357 | + | 0.131195i | \(0.958119\pi\) | |||||||
\(678\) | −155.373 | + | 678.080i | −0.229164 | + | 1.00012i | ||||
\(679\) | 318.151 | + | 318.151i | 0.468559 | + | 0.468559i | ||||
\(680\) | −3.87809 | + | 6.05589i | −0.00570308 | + | 0.00890573i | ||||
\(681\) | −725.651 | − | 222.235i | −1.06557 | − | 0.326336i | ||||
\(682\) | 2.49871 | + | 34.6744i | 0.00366380 | + | 0.0508422i | ||||
\(683\) | −557.807 | − | 231.051i | −0.816701 | − | 0.338289i | −0.0650771 | − | 0.997880i | \(-0.520729\pi\) |
−0.751624 | + | 0.659591i | \(0.770729\pi\) | |||||||
\(684\) | −920.437 | − | 53.2584i | −1.34567 | − | 0.0778632i | ||||
\(685\) | −445.475 | + | 184.522i | −0.650328 | + | 0.269375i | ||||
\(686\) | −679.237 | − | 225.666i | −0.990142 | − | 0.328959i | ||||
\(687\) | 316.878 | + | 596.651i | 0.461248 | + | 0.868488i | ||||
\(688\) | −1216.91 | − | 128.183i | −1.76877 | − | 0.186313i | ||||
\(689\) | 187.509 | 0.272146 | ||||||||
\(690\) | −91.3086 | − | 540.180i | −0.132331 | − | 0.782870i | ||||
\(691\) | −164.485 | + | 68.1320i | −0.238039 | + | 0.0985991i | −0.498514 | − | 0.866882i | \(-0.666121\pi\) |
0.260475 | + | 0.965481i | \(0.416121\pi\) | |||||||
\(692\) | −764.627 | − | 194.283i | −1.10495 | − | 0.280756i | ||||
\(693\) | −21.2549 | + | 14.0389i | −0.0306708 | + | 0.0202582i | ||||
\(694\) | 773.215 | − | 55.7195i | 1.11414 | − | 0.0802875i | ||||
\(695\) | −208.716 | − | 208.716i | −0.300311 | − | 0.300311i | ||||
\(696\) | −119.908 | − | 61.5248i | −0.172282 | − | 0.0883977i | ||||
\(697\) | 11.1382 | + | 11.1382i | 0.0159802 | + | 0.0159802i | ||||
\(698\) | 394.976 | − | 456.322i | 0.565868 | − | 0.653757i | ||||
\(699\) | 57.6877 | + | 602.140i | 0.0825290 | + | 0.861431i | ||||
\(700\) | −440.335 | − | 328.892i | −0.629050 | − | 0.469846i | ||||
\(701\) | 376.833 | − | 156.089i | 0.537564 | − | 0.222666i | −0.0973484 | − | 0.995250i | \(-0.531036\pi\) |
0.634913 | + | 0.772584i | \(0.281036\pi\) | |||||||
\(702\) | 126.702 | − | 47.4709i | 0.180488 | − | 0.0676224i | ||||
\(703\) | −164.279 | −0.233683 | ||||||||
\(704\) | 20.0178 | + | 18.5170i | 0.0284344 | + | 0.0263025i | ||||
\(705\) | 178.598 | − | 94.8522i | 0.253330 | − | 0.134542i | ||||
\(706\) | −243.572 | + | 122.087i | −0.345002 | + | 0.172928i | ||||
\(707\) | 187.631 | − | 77.7195i | 0.265391 | − | 0.109929i | ||||
\(708\) | −104.985 | + | 679.413i | −0.148284 | + | 0.959622i | ||||
\(709\) | 8.80554 | + | 3.64737i | 0.0124197 | + | 0.00514439i | 0.388885 | − | 0.921286i | \(-0.372860\pi\) |
−0.376465 | + | 0.926431i | \(0.622860\pi\) | |||||||
\(710\) | 253.189 | − | 292.514i | 0.356604 | − | 0.411991i | ||||
\(711\) | −403.258 | + | 77.9835i | −0.567170 | + | 0.109681i | ||||
\(712\) | −966.878 | + | 673.631i | −1.35797 | + | 0.946110i | ||||
\(713\) | 1267.91 | + | 1267.91i | 1.77828 | + | 1.77828i | ||||
\(714\) | 14.6105 | − | 9.16308i | 0.0204629 | − | 0.0128335i | ||||
\(715\) | −0.848710 | + | 2.04897i | −0.00118701 | + | 0.00286569i | ||||
\(716\) | 396.432 | + | 100.729i | 0.553676 | + | 0.140683i | ||||
\(717\) | −879.996 | − | 726.122i | −1.22733 | − | 1.01272i | ||||
\(718\) | 788.917 | + | 262.105i | 1.09877 | + | 0.365049i | ||||
\(719\) | 422.265 | 0.587295 | 0.293648 | − | 0.955914i | \(-0.405131\pi\) | ||||
0.293648 | + | 0.955914i | \(0.405131\pi\) | |||||||
\(720\) | 25.7179 | + | 298.036i | 0.0357193 | + | 0.413940i | ||||
\(721\) | 771.041i | 1.06940i | ||||||||
\(722\) | −559.709 | − | 185.955i | −0.775220 | − | 0.257555i | ||||
\(723\) | 347.633 | − | 421.300i | 0.480820 | − | 0.582711i | ||||
\(724\) | 52.5471 | + | 88.3467i | 0.0725789 | + | 0.122026i | ||||
\(725\) | −107.311 | − | 44.4498i | −0.148016 | − | 0.0613101i | ||||
\(726\) | −614.127 | + | 385.155i | −0.845904 | + | 0.530516i | ||||
\(727\) | 884.581 | − | 884.581i | 1.21676 | − | 1.21676i | 0.247993 | − | 0.968762i | \(-0.420229\pi\) |
0.968762 | − | 0.247993i | \(-0.0797711\pi\) | |||||||
\(728\) | 112.131 | + | 71.8070i | 0.154027 | + | 0.0986360i | ||||
\(729\) | −395.279 | − | 612.532i | −0.542221 | − | 0.840236i | ||||
\(730\) | −61.8422 | + | 71.4473i | −0.0847153 | + | 0.0978730i | ||||
\(731\) | 12.6639 | − | 30.5734i | 0.0173241 | − | 0.0418241i | ||||
\(732\) | 611.331 | + | 834.790i | 0.835152 | + | 1.14042i | ||||
\(733\) | 375.129 | + | 905.641i | 0.511772 | + | 1.23553i | 0.942852 | + | 0.333213i | \(0.108133\pi\) |
−0.431080 | + | 0.902314i | \(0.641867\pi\) | |||||||
\(734\) | 565.732 | − | 283.566i | 0.770752 | − | 0.386330i | ||||
\(735\) | 14.2484 | + | 26.8284i | 0.0193856 | + | 0.0365012i | ||||
\(736\) | 1405.73 | + | 46.4203i | 1.90995 | + | 0.0630710i | ||||
\(737\) | − | 21.3337i | − | 0.0289466i | ||||||
\(738\) | 649.747 | + | 84.7713i | 0.880416 | + | 0.114866i | ||||
\(739\) | 307.653 | + | 742.740i | 0.416310 | + | 1.00506i | 0.983408 | + | 0.181410i | \(0.0580662\pi\) |
−0.567098 | + | 0.823651i | \(0.691934\pi\) | |||||||
\(740\) | 7.64241 | + | 52.7512i | 0.0103276 | + | 0.0712854i | ||||
\(741\) | 191.633 | − | 18.3593i | 0.258613 | − | 0.0247763i | ||||
\(742\) | 650.672 | − | 751.732i | 0.876916 | − | 1.01312i | ||||
\(743\) | 424.903 | − | 424.903i | 0.571875 | − | 0.571875i | −0.360777 | − | 0.932652i | \(-0.617488\pi\) |
0.932652 | + | 0.360777i | \(0.117488\pi\) | |||||||
\(744\) | −633.763 | − | 746.313i | −0.851833 | − | 1.00311i | ||||
\(745\) | 235.679 | − | 235.679i | 0.316348 | − | 0.316348i | ||||
\(746\) | −498.553 | + | 35.9268i | −0.668302 | + | 0.0481592i | ||||
\(747\) | 288.981 | − | 190.873i | 0.386855 | − | 0.255520i | ||||
\(748\) | −0.633825 | + | 0.376988i | −0.000847360 | + | 0.000503995i | ||||
\(749\) | 502.361 | + | 1212.81i | 0.670709 | + | 1.61924i | ||||
\(750\) | 94.9059 | + | 561.462i | 0.126541 | + | 0.748616i | ||||
\(751\) | 252.843i | 0.336675i | 0.985729 | + | 0.168337i | \(0.0538398\pi\) | ||||
−0.985729 | + | 0.168337i | \(0.946160\pi\) | |||||||
\(752\) | 147.339 | + | 497.826i | 0.195930 | + | 0.662003i | ||||
\(753\) | 670.733 | − | 356.222i | 0.890748 | − | 0.473071i | ||||
\(754\) | 26.7051 | + | 8.87237i | 0.0354179 | + | 0.0117671i | ||||
\(755\) | −137.548 | − | 332.070i | −0.182183 | − | 0.439828i | ||||
\(756\) | 249.355 | − | 672.685i | 0.329835 | − | 0.889794i | ||||
\(757\) | −87.6710 | + | 211.657i | −0.115814 | + | 0.279599i | −0.971148 | − | 0.238477i | \(-0.923352\pi\) |
0.855334 | + | 0.518076i | \(0.173352\pi\) | |||||||
\(758\) | 40.3659 | + | 560.155i | 0.0532532 | + | 0.738991i | ||||
\(759\) | 16.4518 | − | 53.7191i | 0.0216756 | − | 0.0707761i | ||||
\(760\) | −74.8947 | + | 418.982i | −0.0985456 | + | 0.551292i | ||||
\(761\) | 596.240 | − | 596.240i | 0.783496 | − | 0.783496i | −0.196923 | − | 0.980419i | \(-0.563095\pi\) |
0.980419 | + | 0.196923i | \(0.0630949\pi\) | |||||||
\(762\) | −142.538 | + | 622.064i | −0.187057 | + | 0.816357i | ||||
\(763\) | 171.377 | + | 70.9867i | 0.224610 | + | 0.0930364i | ||||
\(764\) | 515.436 | + | 384.986i | 0.674655 | + | 0.503909i | ||||
\(765\) | −7.92614 | − | 1.62052i | −0.0103610 | − | 0.00211833i | ||||
\(766\) | −367.042 | + | 183.975i | −0.479167 | + | 0.240176i | ||||
\(767\) | − | 143.546i | − | 0.187152i | ||||||
\(768\) | −762.981 | − | 87.6548i | −0.993465 | − | 0.114134i | ||||
\(769\) | 386.407 | 0.502480 | 0.251240 | − | 0.967925i | \(-0.419162\pi\) | ||||
0.251240 | + | 0.967925i | \(0.419162\pi\) | |||||||
\(770\) | 5.26932 | + | 10.5126i | 0.00684327 | + | 0.0136528i | ||||
\(771\) | 274.326 | − | 332.459i | 0.355805 | − | 0.431204i | ||||
\(772\) | 393.373 | − | 526.665i | 0.509550 | − | 0.682208i | ||||
\(773\) | −27.3769 | + | 66.0938i | −0.0354165 | + | 0.0855029i | −0.940598 | − | 0.339522i | \(-0.889735\pi\) |
0.905182 | + | 0.425025i | \(0.139735\pi\) | |||||||
\(774\) | −357.838 | − | 1329.28i | −0.462323 | − | 1.71741i | ||||
\(775\) | −596.685 | − | 596.685i | −0.769916 | − | 0.769916i | ||||
\(776\) | 533.412 | + | 95.3495i | 0.687387 | + | 0.122873i | ||||
\(777\) | 37.4325 | − | 122.226i | 0.0481757 | − | 0.157305i | ||||
\(778\) | 943.127 | − | 67.9637i | 1.21225 | − | 0.0873570i | ||||
\(779\) | 861.330 | + | 356.775i | 1.10569 | + | 0.457991i | ||||
\(780\) | −14.8102 | − | 60.6805i | −0.0189874 | − | 0.0777955i | ||||
\(781\) | 36.6539 | − | 15.1826i | 0.0469321 | − | 0.0194399i | ||||
\(782\) | −11.9928 | + | 36.0974i | −0.0153360 | + | 0.0461603i | ||||
\(783\) | 16.0655 | − | 150.764i | 0.0205179 | − | 0.192547i | ||||
\(784\) | −74.7819 | + | 22.1328i | −0.0953850 | + | 0.0282306i | ||||
\(785\) | −395.936 | −0.504377 | ||||||||
\(786\) | 138.603 | + | 819.972i | 0.176339 | + | 1.04322i | ||||
\(787\) | −980.553 | + | 406.158i | −1.24594 | + | 0.516084i | −0.905565 | − | 0.424207i | \(-0.860553\pi\) |
−0.340372 | + | 0.940291i | \(0.610553\pi\) | |||||||
\(788\) | 79.2267 | + | 133.203i | 0.100542 | + | 0.169039i | ||||
\(789\) | 43.6134 | − | 4.17836i | 0.0552768 | − | 0.00529577i | ||||
\(790\) | 13.6283 | + | 189.119i | 0.0172511 | + | 0.239391i | ||||
\(791\) | −544.594 | − | 544.594i | −0.688488 | − | 0.688488i | ||||
\(792\) | −11.3378 | + | 28.5055i | −0.0143155 | + | 0.0359918i | ||||
\(793\) | −152.768 | − | 152.768i | −0.192646 | − | 0.192646i | ||||
\(794\) | 83.4377 | + | 72.2206i | 0.105085 | + | 0.0909580i | ||||
\(795\) | −464.261 | + | 44.4783i | −0.583976 | + | 0.0559475i | ||||
\(796\) | 194.445 | − | 28.1706i | 0.244278 | − | 0.0353902i | ||||
\(797\) | −612.225 | + | 253.592i | −0.768162 | + | 0.318183i | −0.732128 | − | 0.681167i | \(-0.761473\pi\) |
−0.0360343 | + | 0.999351i | \(0.511473\pi\) | |||||||
\(798\) | 591.379 | − | 831.973i | 0.741076 | − | 1.04257i | ||||
\(799\) | −14.0406 | −0.0175727 | ||||||||
\(800\) | −661.542 | − | 21.8456i | −0.826927 | − | 0.0273070i | ||||
\(801\) | −1098.34 | − | 742.378i | −1.37122 | − | 0.926815i | ||||
\(802\) | 340.979 | + | 680.274i | 0.425160 | + | 0.848222i | ||||
\(803\) | −8.95283 | + | 3.70839i | −0.0111492 | + | 0.00461816i | ||||
\(804\) | 354.995 | + | 484.756i | 0.441536 | + | 0.602930i | ||||
\(805\) | 560.359 | + | 232.108i | 0.696098 | + | 0.288333i | ||||
\(806\) | 154.576 | + | 133.795i | 0.191781 | + | 0.165999i | ||||
\(807\) | 28.1814 | − | 92.0192i | 0.0349212 | − | 0.114026i | ||||
\(808\) | 131.902 | − | 205.973i | 0.163245 | − | 0.254917i | ||||
\(809\) | −313.261 | − | 313.261i | −0.387220 | − | 0.387220i | 0.486475 | − | 0.873695i | \(-0.338283\pi\) |
−0.873695 | + | 0.486475i | \(0.838283\pi\) | |||||||
\(810\) | −302.447 | + | 147.590i | −0.373392 | + | 0.182210i | ||||
\(811\) | −142.266 | + | 343.461i | −0.175421 | + | 0.423503i | −0.986996 | − | 0.160745i | \(-0.948610\pi\) |
0.811575 | + | 0.584248i | \(0.198610\pi\) | |||||||
\(812\) | 128.239 | − | 76.2743i | 0.157930 | − | 0.0939339i | ||||
\(813\) | 474.652 | − | 575.236i | 0.583828 | − | 0.707548i | ||||
\(814\) | −1.72342 | + | 5.18737i | −0.00211723 | + | 0.00637268i | ||||
\(815\) | 300.120 | 0.368246 | ||||||||
\(816\) | 8.12900 | − | 19.1131i | 0.00996201 | − | 0.0234229i | ||||
\(817\) | − | 1958.63i | − | 2.39734i | ||||||
\(818\) | 24.3529 | − | 73.3003i | 0.0297713 | − | 0.0896091i | ||||
\(819\) | −30.0057 | + | 146.761i | −0.0366369 | + | 0.179195i | ||||
\(820\) | 74.4930 | − | 293.177i | 0.0908451 | − | 0.357533i | ||||
\(821\) | 683.281 | + | 283.024i | 0.832255 | + | 0.344731i | 0.757795 | − | 0.652493i | \(-0.226277\pi\) |
0.0744599 | + | 0.997224i | \(0.476277\pi\) | |||||||
\(822\) | 1179.82 | − | 739.932i | 1.43530 | − | 0.900160i | ||||
\(823\) | 441.372 | − | 441.372i | 0.536296 | − | 0.536296i | −0.386143 | − | 0.922439i | \(-0.626193\pi\) |
0.922439 | + | 0.386143i | \(0.126193\pi\) | |||||||
\(824\) | 530.823 | + | 761.903i | 0.644203 | + | 0.924639i | ||||
\(825\) | −7.74229 | + | 25.2805i | −0.00938460 | + | 0.0306430i | ||||
\(826\) | −575.483 | − | 498.117i | −0.696711 | − | 0.603047i | ||||
\(827\) | 10.7367 | − | 25.9207i | 0.0129827 | − | 0.0313430i | −0.917255 | − | 0.398300i | \(-0.869600\pi\) |
0.930238 | + | 0.366957i | \(0.119600\pi\) | |||||||
\(828\) | 520.065 | + | 1494.39i | 0.628098 | + | 1.80482i | ||||
\(829\) | −387.431 | − | 935.342i | −0.467348 | − | 1.12828i | −0.965317 | − | 0.261082i | \(-0.915921\pi\) |
0.497969 | − | 0.867195i | \(-0.334079\pi\) | |||||||
\(830\) | −71.6415 | − | 142.929i | −0.0863151 | − | 0.172204i | ||||
\(831\) | −903.330 | + | 479.753i | −1.08704 | + | 0.577320i | ||||
\(832\) | 160.238 | − | 6.24081i | 0.192594 | − | 0.00750097i | ||||
\(833\) | − | 2.10913i | − | 0.00253197i | ||||||
\(834\) | 694.862 | + | 493.918i | 0.833168 | + | 0.592228i | ||||
\(835\) | 96.4242 | + | 232.789i | 0.115478 | + | 0.278789i | ||||
\(836\) | −26.1197 | + | 34.9702i | −0.0312436 | + | 0.0418304i | ||||
\(837\) | 526.979 | − | 967.249i | 0.629604 | − | 1.15561i | ||||
\(838\) | −180.104 | − | 155.891i | −0.214921 | − | 0.186028i | ||||
\(839\) | 701.963 | − | 701.963i | 0.836666 | − | 0.836666i | −0.151753 | − | 0.988419i | \(-0.548492\pi\) |
0.988419 | + | 0.151753i | \(0.0484917\pi\) | |||||||
\(840\) | −294.664 | − | 151.192i | −0.350790 | − | 0.179990i | ||||
\(841\) | −572.379 | + | 572.379i | −0.680594 | + | 0.680594i | ||||
\(842\) | 73.5490 | + | 1020.63i | 0.0873504 | + | 1.21215i | ||||
\(843\) | 191.095 | − | 18.3077i | 0.226684 | − | 0.0217174i | ||||
\(844\) | 8.65862 | − | 34.0771i | 0.0102590 | − | 0.0403757i | ||||
\(845\) | −129.361 | − | 312.305i | −0.153090 | − | 0.369592i | ||||
\(846\) | −462.959 | + | 356.098i | −0.547232 | + | 0.420919i | ||||
\(847\) | − | 802.563i | − | 0.947536i | ||||||
\(848\) | 125.431 | − | 1190.78i | 0.147914 | − | 1.40422i | ||||
\(849\) | −42.3068 | − | 79.6598i | −0.0498313 | − | 0.0938278i | ||||
\(850\) | 5.64387 | − | 16.9876i | 0.00663985 | − | 0.0199854i | ||||
\(851\) | 107.893 | + | 260.476i | 0.126783 | + | 0.306082i | ||||
\(852\) | −580.232 | + | 954.913i | −0.681024 | + | 1.12079i | ||||
\(853\) | −493.096 | + | 1190.44i | −0.578073 | + | 1.39559i | 0.316467 | + | 0.948604i | \(0.397503\pi\) |
−0.894540 | + | 0.446988i | \(0.852497\pi\) | |||||||
\(854\) | −1142.57 | + | 82.3362i | −1.33791 | + | 0.0964124i | ||||
\(855\) | −470.116 | + | 90.9129i | −0.549843 | + | 0.106331i | ||||
\(856\) | 1331.36 | + | 852.583i | 1.55533 | + | 0.996009i | ||||
\(857\) | 485.381 | − | 485.381i | 0.566372 | − | 0.566372i | −0.364738 | − | 0.931110i | \(-0.618842\pi\) |
0.931110 | + | 0.364738i | \(0.118842\pi\) | |||||||
\(858\) | 1.43066 | − | 6.24369i | 0.00166743 | − | 0.00727703i | ||||
\(859\) | −1010.06 | − | 418.380i | −1.17585 | − | 0.487055i | −0.292731 | − | 0.956195i | \(-0.594564\pi\) |
−0.883124 | + | 0.469140i | \(0.844564\pi\) | |||||||
\(860\) | −628.930 | + | 91.1172i | −0.731314 | + | 0.105950i | ||||
\(861\) | −461.708 | + | 559.549i | −0.536246 | + | 0.649883i | ||||
\(862\) | −72.3616 | − | 144.366i | −0.0839462 | − | 0.167478i | ||||
\(863\) | 341.486i | 0.395696i | 0.980233 | + | 0.197848i | \(0.0633953\pi\) | ||||
−0.980233 | + | 0.197848i | \(0.936605\pi\) | |||||||
\(864\) | −216.710 | − | 836.381i | −0.250821 | − | 0.968033i | ||||
\(865\) | −409.725 | −0.473671 | ||||||||
\(866\) | −1366.40 | + | 684.892i | −1.57783 | + | 0.790868i | ||||
\(867\) | −668.300 | − | 551.443i | −0.770819 | − | 0.636036i | ||||
\(868\) | 1072.78 | − | 155.421i | 1.23592 | − | 0.179056i | ||||
\(869\) | −7.44114 | + | 17.9645i | −0.00856288 | + | 0.0206726i | ||||
\(870\) | −68.2249 | − | 15.6328i | −0.0784195 | − | 0.0179688i | ||||
\(871\) | −88.7110 | − | 88.7110i | −0.101850 | − | 0.101850i | ||||
\(872\) | 218.217 | − | 47.8391i | 0.250249 | − | 0.0548614i | ||||
\(873\) | 115.743 | + | 598.512i | 0.132580 | + | 0.685580i | ||||
\(874\) | 161.814 | + | 2245.48i | 0.185142 | + | 2.56920i | ||||
\(875\) | −582.435 | − | 241.253i | −0.665640 | − | 0.275717i | ||||
\(876\) | 141.723 | − | 233.240i | 0.161785 | − | 0.266256i | ||||
\(877\) | 1520.59 | − | 629.849i | 1.73385 | − | 0.718186i | 0.734645 | − | 0.678452i | \(-0.237349\pi\) |
0.999210 | − | 0.0397340i | \(-0.0126510\pi\) | |||||||
\(878\) | 889.738 | + | 295.602i | 1.01337 | + | 0.336676i | ||||
\(879\) | −165.978 | + | 88.1497i | −0.188825 | + | 0.100284i | ||||
\(880\) | 12.4443 | + | 6.76037i | 0.0141412 | + | 0.00768224i | ||||
\(881\) | −203.840 | −0.231374 | −0.115687 | − | 0.993286i | \(-0.536907\pi\) | ||||
−0.115687 | + | 0.993286i | \(0.536907\pi\) | |||||||
\(882\) | −53.4919 | − | 69.5442i | −0.0606484 | − | 0.0788483i | ||||
\(883\) | −319.448 | + | 132.320i | −0.361776 | + | 0.149852i | −0.556165 | − | 0.831072i | \(-0.687728\pi\) |
0.194389 | + | 0.980925i | \(0.437728\pi\) | |||||||
\(884\) | −1.06800 | + | 4.20323i | −0.00120814 | + | 0.00475479i | ||||
\(885\) | 34.0500 | + | 355.411i | 0.0384746 | + | 0.401595i | ||||
\(886\) | −1361.30 | + | 98.0982i | −1.53646 | + | 0.110720i | ||||
\(887\) | 295.914 | + | 295.914i | 0.333612 | + | 0.333612i | 0.853957 | − | 0.520344i | \(-0.174196\pi\) |
−0.520344 | + | 0.853957i | \(0.674196\pi\) | |||||||
\(888\) | −47.1578 | − | 146.548i | −0.0531057 | − | 0.165032i | ||||
\(889\) | −499.605 | − | 499.605i | −0.561985 | − | 0.561985i | ||||
\(890\) | −400.526 | + | 462.734i | −0.450029 | + | 0.519926i | ||||
\(891\) | −34.5102 | − | 0.367452i | −0.0387320 | − | 0.000412404i | ||||
\(892\) | −280.713 | + | 375.831i | −0.314701 | + | 0.421335i | ||||
\(893\) | −767.758 | + | 318.016i | −0.859751 | + | 0.356120i | ||||
\(894\) | −557.726 | + | 784.629i | −0.623855 | + | 0.877661i | ||||
\(895\) | 212.428 | 0.237350 | ||||||||
\(896\) | 531.020 | − | 664.058i | 0.592656 | − | 0.741137i | ||||
\(897\) | −154.967 | − | 291.789i | −0.172762 | − | 0.325294i | ||||
\(898\) | −161.825 | + | 81.1129i | −0.180206 | + | 0.0903262i | ||||
\(899\) | 211.650 | − | 87.6681i | 0.235428 | − | 0.0975174i | ||||
\(900\) | −244.745 | − | 703.270i | −0.271939 | − | 0.781411i | ||||
\(901\) | 29.9169 | + | 12.3920i | 0.0332041 | + | 0.0137536i | ||||
\(902\) | 20.3018 | − | 23.4550i | 0.0225075 | − | 0.0260033i | ||||
\(903\) | 1457.25 | + | 446.292i | 1.61379 | + | 0.494233i | ||||
\(904\) | −913.065 | − | 163.214i | −1.01003 | − | 0.180547i | ||||
\(905\) | 37.7490 | + | 37.7490i | 0.0417116 | + | 0.0417116i | ||||
\(906\) | 551.567 | + | 879.470i | 0.608794 | + | 0.970718i | ||||
\(907\) | −339.651 | + | 819.990i | −0.374477 | + | 0.904068i | 0.618502 | + | 0.785783i | \(0.287740\pi\) |
−0.992980 | + | 0.118285i | \(0.962260\pi\) | |||||||
\(908\) | 249.192 | − | 980.728i | 0.274441 | − | 1.08010i | ||||
\(909\) | 269.584 | + | 55.1172i | 0.296572 | + | 0.0606349i | ||||
\(910\) | 65.6255 | + | 21.8031i | 0.0721159 | + | 0.0239594i | ||||
\(911\) | −1069.12 | −1.17357 | −0.586786 | − | 0.809742i | \(-0.699607\pi\) | ||||
−0.586786 | + | 0.809742i | \(0.699607\pi\) | |||||||
\(912\) | 11.5984 | − | 1229.25i | 0.0127175 | − | 1.34786i | ||||
\(913\) | − | 16.3957i | − | 0.0179581i | ||||||
\(914\) | −1055.00 | − | 350.508i | −1.15427 | − | 0.383487i | ||||
\(915\) | 414.482 | + | 342.007i | 0.452986 | + | 0.373778i | ||||
\(916\) | −774.179 | + | 460.468i | −0.845174 | + | 0.502695i | ||||
\(917\) | −850.602 | − | 352.331i | −0.927592 | − | 0.384221i | ||||
\(918\) | 23.3525 | + | 0.799491i | 0.0254385 | + | 0.000870906i | ||||
\(919\) | 563.193 | − | 563.193i | 0.612833 | − | 0.612833i | −0.330851 | − | 0.943683i | \(-0.607336\pi\) |
0.943683 | + | 0.330851i | \(0.107336\pi\) | |||||||
\(920\) | 713.513 | − | 156.422i | 0.775557 | − | 0.170023i | ||||
\(921\) | 3.87112 | + | 1.18555i | 0.00420317 | + | 0.00128725i | ||||
\(922\) | −788.780 | + | 911.291i | −0.855510 | + | 0.988385i | ||||
\(923\) | 89.2837 | − | 215.550i | 0.0967321 | − | 0.233532i | ||||
\(924\) | −20.0668 | − | 27.4017i | −0.0217173 | − | 0.0296556i | ||||
\(925\) | −50.7749 | − | 122.581i | −0.0548918 | − | 0.132520i | ||||
\(926\) | 203.208 | − | 101.855i | 0.219447 | − | 0.109995i | ||||
\(927\) | −584.996 | + | 865.499i | −0.631064 | + | 0.933656i | ||||
\(928\) | 74.2081 | − | 163.656i | 0.0799656 | − | 0.176354i | ||||
\(929\) | − | 1001.53i | − | 1.07808i | −0.842282 | − | 0.539038i | \(-0.818788\pi\) | ||
0.842282 | − | 0.539038i | \(-0.181212\pi\) | |||||||
\(930\) | −414.457 | − | 294.602i | −0.445653 | − | 0.316777i | ||||
\(931\) | −47.7713 | − | 115.330i | −0.0513118 | − | 0.123878i | ||||
\(932\) | −798.197 | + | 115.640i | −0.856434 | + | 0.124077i | ||||
\(933\) | 138.279 | + | 1443.35i | 0.148209 | + | 1.54700i | ||||
\(934\) | 1168.38 | − | 1349.85i | 1.25094 | − | 1.44523i | ||||
\(935\) | −0.270822 | + | 0.270822i | −0.000289649 | + | 0.000289649i | ||||
\(936\) | 71.3875 | + | 165.679i | 0.0762687 | + | 0.177008i | ||||
\(937\) | 665.490 | − | 665.490i | 0.710235 | − | 0.710235i | −0.256349 | − | 0.966584i | \(-0.582520\pi\) |
0.966584 | + | 0.256349i | \(0.0825197\pi\) | |||||||
\(938\) | −663.482 | + | 47.8119i | −0.707337 | + | 0.0509722i | ||||
\(939\) | 57.1507 | + | 596.534i | 0.0608633 | + | 0.635287i | ||||
\(940\) | 137.834 | + | 231.738i | 0.146632 | + | 0.246530i | ||||
\(941\) | −347.922 | − | 839.958i | −0.369737 | − | 0.892623i | −0.993793 | − | 0.111244i | \(-0.964516\pi\) |
0.624056 | − | 0.781379i | \(-0.285484\pi\) | |||||||
\(942\) | 1127.56 | − | 190.596i | 1.19699 | − | 0.202331i | ||||
\(943\) | − | 1600.02i | − | 1.69673i | ||||||
\(944\) | −911.592 | − | 96.0226i | −0.965669 | − | 0.101719i | ||||
\(945\) | 39.4796 | − | 370.489i | 0.0417774 | − | 0.392052i | ||||
\(946\) | −61.8467 | − | 20.5476i | −0.0653771 | − | 0.0217205i | ||||
\(947\) | −246.808 | − | 595.848i | −0.260621 | − | 0.629195i | 0.738356 | − | 0.674411i | \(-0.235602\pi\) |
−0.998977 | + | 0.0452158i | \(0.985602\pi\) | |||||||
\(948\) | −129.850 | − | 532.022i | −0.136972 | − | 0.561204i | ||||
\(949\) | −21.8078 | + | 52.6487i | −0.0229798 | + | 0.0554781i | ||||
\(950\) | −76.1507 | − | 1056.74i | −0.0801586 | − | 1.11235i | ||||
\(951\) | 1243.02 | + | 380.682i | 1.30707 | + | 0.400297i | ||||
\(952\) | 13.1449 | + | 18.8672i | 0.0138077 | + | 0.0198185i | ||||
\(953\) | 9.75518 | − | 9.75518i | 0.0102363 | − | 0.0102363i | −0.701970 | − | 0.712206i | \(-0.747696\pi\) |
0.712206 | + | 0.701970i | \(0.247696\pi\) | |||||||
\(954\) | 1300.73 | − | 350.153i | 1.36345 | − | 0.367037i | ||||
\(955\) | 308.685 | + | 127.861i | 0.323230 | + | 0.133886i | ||||
\(956\) | 910.308 | − | 1218.76i | 0.952205 | − | 1.27485i | ||||
\(957\) | −5.53642 | − | 4.56833i | −0.00578518 | − | 0.00477360i | ||||
\(958\) | −865.886 | + | 434.014i | −0.903847 | + | 0.453042i | ||||
\(959\) | 1541.83i | 1.60774i | ||||||||
\(960\) | −395.260 | + | 53.4613i | −0.411729 | + | 0.0556889i | ||||
\(961\) | 703.303 | 0.731845 | ||||||||
\(962\) | 14.4040 | + | 28.7369i | 0.0149730 | + | 0.0298720i | ||||
\(963\) | −356.265 | + | 1742.53i | −0.369953 | + | 1.80948i | ||||
\(964\) | 583.484 | + | 435.812i | 0.605274 | + | 0.452087i | ||||
\(965\) | 130.647 | − | 315.409i | 0.135385 | − | 0.326849i | ||||
\(966\) | −1707.55 | − | 391.262i | −1.76765 | − | 0.405033i | ||||
\(967\) | 797.727 | + | 797.727i | 0.824950 | + | 0.824950i | 0.986813 | − | 0.161863i | \(-0.0517502\pi\) |
−0.161863 | + | 0.986813i | \(0.551750\pi\) | |||||||
\(968\) | −552.525 | − | 793.052i | −0.570790 | − | 0.819268i | ||||
\(969\) | 31.7881 | + | 9.73530i | 0.0328051 | + | 0.0100467i | ||||
\(970\) | 280.689 | − | 20.2271i | 0.289370 | − | 0.0208526i | ||||
\(971\) | 1064.95 | + | 441.118i | 1.09676 | + | 0.454292i | 0.856358 | − | 0.516382i | \(-0.172721\pi\) |
0.240400 | + | 0.970674i | \(0.422721\pi\) | |||||||
\(972\) | 790.276 | − | 565.905i | 0.813041 | − | 0.582207i | ||||
\(973\) | −871.995 | + | 361.192i | −0.896192 | + | 0.371215i | ||||
\(974\) | −368.621 | + | 1109.52i | −0.378461 | + | 1.13914i | ||||
\(975\) | 72.9284 | + | 137.317i | 0.0747984 | + | 0.140838i | ||||
\(976\) | −1072.35 | + | 867.964i | −1.09872 | + | 0.889308i | ||||
\(977\) | −757.558 | −0.775392 | −0.387696 | − | 0.921787i | \(-0.626729\pi\) | ||||
−0.387696 | + | 0.921787i | \(0.626729\pi\) | |||||||
\(978\) | −854.696 | + | 144.472i | −0.873922 | + | 0.147722i | ||||
\(979\) | −57.9837 | + | 24.0177i | −0.0592275 | + | 0.0245328i | ||||
\(980\) | −34.8109 | + | 20.7050i | −0.0355214 | + | 0.0211275i | ||||
\(981\) | 138.514 | + | 209.709i | 0.141196 | + | 0.213770i | ||||
\(982\) | −63.6970 | − | 883.918i | −0.0648646 | − | 0.900121i | ||||
\(983\) | −515.745 | − | 515.745i | −0.524664 | − | 0.524664i | 0.394312 | − | 0.918977i | \(-0.370983\pi\) |
−0.918977 | + | 0.394312i | \(0.870983\pi\) | |||||||
\(984\) | −71.0147 | + | 870.781i | −0.0721694 | + | 0.884940i | ||||
\(985\) | 56.9152 | + | 56.9152i | 0.0577819 | + | 0.0577819i | ||||
\(986\) | 3.67443 | + | 3.18045i | 0.00372660 | + | 0.00322561i | ||||
\(987\) | −61.6681 | − | 643.687i | −0.0624803 | − | 0.652165i | ||||
\(988\) | 36.8027 | + | 254.028i | 0.0372497 | + | 0.257113i | ||||
\(989\) | −3105.54 | + | 1286.36i | −3.14008 | + | 1.30067i | ||||
\(990\) | −2.06119 | + | 15.7984i | −0.00208201 | + | 0.0159580i | ||||
\(991\) | −945.010 | −0.953592 | −0.476796 | − | 0.879014i | \(-0.658202\pi\) | ||||
−0.476796 | + | 0.879014i | \(0.658202\pi\) | |||||||
\(992\) | 953.069 | − | 892.136i | 0.960755 | − | 0.899331i | ||||
\(993\) | −7.14961 | + | 3.79711i | −0.00720001 | + | 0.00382388i | ||||
\(994\) | −554.328 | − | 1105.92i | −0.557674 | − | 1.11260i | ||||
\(995\) | 94.2717 | − | 39.0486i | 0.0947454 | − | 0.0392448i | ||||
\(996\) | 272.827 | + | 372.554i | 0.273923 | + | 0.374050i | ||||
\(997\) | 728.420 | + | 301.722i | 0.730612 | + | 0.302629i | 0.716804 | − | 0.697275i | \(-0.245604\pi\) |
0.0138087 | + | 0.999905i | \(0.495604\pi\) | |||||||
\(998\) | −235.998 | − | 204.271i | −0.236471 | − | 0.204681i | ||||
\(999\) | 134.753 | − | 108.800i | 0.134888 | − | 0.108908i |
(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 | 96.3.p.a.5.11 | ✓ | 120 | |
3.2 | odd | 2 | inner | 96.3.p.a.5.20 | yes | 120 | |
4.3 | odd | 2 | 384.3.p.a.113.7 | 120 | |||
12.11 | even | 2 | 384.3.p.a.113.15 | 120 | |||
32.13 | even | 8 | inner | 96.3.p.a.77.20 | yes | 120 | |
32.19 | odd | 8 | 384.3.p.a.17.15 | 120 | |||
96.77 | odd | 8 | inner | 96.3.p.a.77.11 | yes | 120 | |
96.83 | even | 8 | 384.3.p.a.17.7 | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.3.p.a.5.11 | ✓ | 120 | 1.1 | even | 1 | trivial | |
96.3.p.a.5.20 | yes | 120 | 3.2 | odd | 2 | inner | |
96.3.p.a.77.11 | yes | 120 | 96.77 | odd | 8 | inner | |
96.3.p.a.77.20 | yes | 120 | 32.13 | even | 8 | inner | |
384.3.p.a.17.7 | 120 | 96.83 | even | 8 | |||
384.3.p.a.17.15 | 120 | 32.19 | odd | 8 | |||
384.3.p.a.113.7 | 120 | 4.3 | odd | 2 | |||
384.3.p.a.113.15 | 120 | 12.11 | even | 2 |