Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [171,3,Mod(5,171)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(171, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([15, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("171.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 171 = 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 171.z (of order \(18\), degree \(6\), 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: | \(4.65941252056\) |
Analytic rank: | \(0\) |
Dimension: | \(228\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 101.13 | ||
Character | \(\chi\) | \(=\) | 171.101 |
Dual form | 171.3.z.a.149.13 |
$q$-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 \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(154\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.65813 | + | 0.292373i | −0.829065 | + | 0.146186i | −0.572048 | − | 0.820220i | \(-0.693851\pi\) |
−0.257017 | + | 0.966407i | \(0.582740\pi\) | |||||||
\(3\) | −2.05416 | − | 2.18642i | −0.684720 | − | 0.728806i | ||||
\(4\) | −1.09486 | + | 0.398496i | −0.273715 | + | 0.0996241i | ||||
\(5\) | −2.50704 | − | 2.98778i | −0.501409 | − | 0.597556i | 0.454672 | − | 0.890659i | \(-0.349757\pi\) |
−0.956081 | + | 0.293103i | \(0.905312\pi\) | |||||||
\(6\) | 4.04531 | + | 3.02478i | 0.674219 | + | 0.504131i | ||||
\(7\) | −4.44332 | − | 7.69605i | −0.634759 | − | 1.09944i | −0.986566 | − | 0.163363i | \(-0.947766\pi\) |
0.351807 | − | 0.936073i | \(-0.385567\pi\) | |||||||
\(8\) | 7.53145 | − | 4.34828i | 0.941431 | − | 0.543535i | ||||
\(9\) | −0.560853 | + | 8.98251i | −0.0623170 | + | 0.998056i | ||||
\(10\) | 5.03055 | + | 4.22113i | 0.503055 | + | 0.422113i | ||||
\(11\) | 8.81040i | 0.800945i | 0.916309 | + | 0.400473i | \(0.131154\pi\) | ||||
−0.916309 | + | 0.400473i | \(0.868846\pi\) | |||||||
\(12\) | 3.12030 | + | 1.57525i | 0.260025 | + | 0.131271i | ||||
\(13\) | −8.50826 | − | 7.13928i | −0.654482 | − | 0.549175i | 0.253945 | − | 0.967219i | \(-0.418272\pi\) |
−0.908427 | + | 0.418043i | \(0.862716\pi\) | |||||||
\(14\) | 9.61771 | + | 11.4619i | 0.686979 | + | 0.818710i | ||||
\(15\) | −1.38267 | + | 11.6188i | −0.0921777 | + | 0.774588i | ||||
\(16\) | −7.64664 | + | 6.41629i | −0.477915 | + | 0.401018i | ||||
\(17\) | 7.52161 | + | 8.96390i | 0.442448 | + | 0.527288i | 0.940470 | − | 0.339875i | \(-0.110385\pi\) |
−0.498023 | + | 0.867164i | \(0.665940\pi\) | |||||||
\(18\) | −1.69628 | − | 15.0581i | −0.0942375 | − | 0.836563i | ||||
\(19\) | 0.563651 | + | 18.9916i | 0.0296658 | + | 0.999560i | ||||
\(20\) | 3.93548 | + | 2.27215i | 0.196774 | + | 0.113608i | ||||
\(21\) | −7.69950 | + | 25.5239i | −0.366643 | + | 1.21542i | ||||
\(22\) | −2.57592 | − | 14.6088i | −0.117087 | − | 0.664035i | ||||
\(23\) | 5.84619 | + | 16.0623i | 0.254182 | + | 0.698359i | 0.999499 | + | 0.0316492i | \(0.0100759\pi\) |
−0.745317 | + | 0.666710i | \(0.767702\pi\) | |||||||
\(24\) | −24.9780 | − | 7.53483i | −1.04075 | − | 0.313951i | ||||
\(25\) | 1.69965 | − | 9.63920i | 0.0679861 | − | 0.385568i | ||||
\(26\) | 16.1951 | + | 9.35026i | 0.622890 | + | 0.359626i | ||||
\(27\) | 20.7916 | − | 17.2252i | 0.770059 | − | 0.637972i | ||||
\(28\) | 7.93165 | + | 6.65545i | 0.283273 | + | 0.237695i | ||||
\(29\) | 11.6593 | + | 32.0336i | 0.402044 | + | 1.10461i | 0.961274 | + | 0.275595i | \(0.0888747\pi\) |
−0.559230 | + | 0.829013i | \(0.688903\pi\) | |||||||
\(30\) | −1.10439 | − | 19.6698i | −0.0368131 | − | 0.655659i | ||||
\(31\) | −21.0387 | −0.678666 | −0.339333 | − | 0.940666i | \(-0.610201\pi\) | ||||
−0.339333 | + | 0.940666i | \(0.610201\pi\) | |||||||
\(32\) | −11.5570 | + | 13.7731i | −0.361157 | + | 0.430410i | ||||
\(33\) | 19.2632 | − | 18.0980i | 0.583734 | − | 0.548423i | ||||
\(34\) | −15.0926 | − | 12.6642i | −0.443900 | − | 0.372476i | ||||
\(35\) | −11.8545 | + | 32.5700i | −0.338700 | + | 0.930571i | ||||
\(36\) | −2.96544 | − | 10.0581i | −0.0823734 | − | 0.279391i | ||||
\(37\) | 29.2078 | 0.789400 | 0.394700 | − | 0.918810i | \(-0.370849\pi\) | ||||
0.394700 | + | 0.918810i | \(0.370849\pi\) | |||||||
\(38\) | −6.48725 | − | 31.3258i | −0.170717 | − | 0.824363i | ||||
\(39\) | 1.86788 | + | 33.2678i | 0.0478943 | + | 0.853022i | ||||
\(40\) | −31.8734 | − | 11.6010i | −0.796835 | − | 0.290024i | ||||
\(41\) | −11.1761 | + | 1.97065i | −0.272587 | + | 0.0480645i | −0.308271 | − | 0.951299i | \(-0.599750\pi\) |
0.0356834 | + | 0.999363i | \(0.488639\pi\) | |||||||
\(42\) | 5.30428 | − | 44.5730i | 0.126292 | − | 1.06126i | ||||
\(43\) | −67.8830 | − | 24.7074i | −1.57867 | − | 0.574591i | −0.603759 | − | 0.797167i | \(-0.706331\pi\) |
−0.974915 | + | 0.222576i | \(0.928553\pi\) | |||||||
\(44\) | −3.51091 | − | 9.64615i | −0.0797934 | − | 0.219231i | ||||
\(45\) | 28.2438 | − | 20.8438i | 0.627641 | − | 0.463196i | ||||
\(46\) | −14.3899 | − | 24.9240i | −0.312824 | − | 0.541827i | ||||
\(47\) | −6.02402 | − | 16.5509i | −0.128171 | − | 0.352146i | 0.858964 | − | 0.512036i | \(-0.171108\pi\) |
−0.987135 | + | 0.159890i | \(0.948886\pi\) | |||||||
\(48\) | 29.7361 | + | 3.53866i | 0.619503 | + | 0.0737222i | ||||
\(49\) | −14.9861 | + | 25.9567i | −0.305839 | + | 0.529729i | ||||
\(50\) | 16.4800i | 0.329600i | ||||||||
\(51\) | 4.14826 | − | 34.8587i | 0.0813384 | − | 0.683503i | ||||
\(52\) | 12.1603 | + | 4.42600i | 0.233852 | + | 0.0851153i | ||||
\(53\) | 51.8959 | + | 9.15064i | 0.979168 | + | 0.172654i | 0.640254 | − | 0.768164i | \(-0.278829\pi\) |
0.338914 | + | 0.940817i | \(0.389940\pi\) | |||||||
\(54\) | −29.4390 | + | 34.6406i | −0.545166 | + | 0.641492i | ||||
\(55\) | 26.3235 | − | 22.0881i | 0.478609 | − | 0.401601i | ||||
\(56\) | −66.9292 | − | 38.6416i | −1.19516 | − | 0.690028i | ||||
\(57\) | 40.3658 | − | 40.2442i | 0.708173 | − | 0.706039i | ||||
\(58\) | −28.6984 | − | 49.7070i | −0.494799 | − | 0.857017i | ||||
\(59\) | 18.6114 | − | 51.1344i | 0.315448 | − | 0.866686i | −0.676084 | − | 0.736824i | \(-0.736325\pi\) |
0.991532 | − | 0.129861i | \(-0.0414532\pi\) | |||||||
\(60\) | −3.11623 | − | 13.2720i | −0.0519372 | − | 0.221200i | ||||
\(61\) | 58.9585 | + | 49.4721i | 0.966533 | + | 0.811017i | 0.982003 | − | 0.188863i | \(-0.0604802\pi\) |
−0.0154705 | + | 0.999880i | \(0.504925\pi\) | |||||||
\(62\) | 34.8848 | − | 6.15113i | 0.562658 | − | 0.0992119i | ||||
\(63\) | 71.6219 | − | 35.5958i | 1.13685 | − | 0.565012i | ||||
\(64\) | 35.1001 | − | 60.7951i | 0.548439 | − | 0.949924i | ||||
\(65\) | 43.3193i | 0.666451i | ||||||||
\(66\) | −26.6495 | + | 35.6408i | −0.403781 | + | 0.540012i | ||||
\(67\) | −12.1216 | + | 68.7448i | −0.180919 | + | 1.02604i | 0.750169 | + | 0.661246i | \(0.229972\pi\) |
−0.931088 | + | 0.364796i | \(0.881139\pi\) | |||||||
\(68\) | −11.8072 | − | 6.81688i | −0.173635 | − | 0.100248i | ||||
\(69\) | 23.1098 | − | 45.7767i | 0.334925 | − | 0.663430i | ||||
\(70\) | 10.1337 | − | 57.4712i | 0.144767 | − | 0.821017i | ||||
\(71\) | −52.7164 | + | 9.29533i | −0.742485 | + | 0.130920i | −0.532080 | − | 0.846694i | \(-0.678589\pi\) |
−0.210405 | + | 0.977614i | \(0.567478\pi\) | |||||||
\(72\) | 34.8345 | + | 70.0900i | 0.483812 | + | 0.973473i | ||||
\(73\) | −94.3854 | − | 34.3535i | −1.29295 | − | 0.470596i | −0.398256 | − | 0.917274i | \(-0.630385\pi\) |
−0.894695 | + | 0.446678i | \(0.852607\pi\) | |||||||
\(74\) | −48.4303 | + | 8.53957i | −0.654464 | + | 0.115400i | ||||
\(75\) | −24.5667 | + | 16.0843i | −0.327556 | + | 0.214458i | ||||
\(76\) | −8.18522 | − | 20.5686i | −0.107700 | − | 0.270639i | ||||
\(77\) | 67.8052 | − | 39.1474i | 0.880588 | − | 0.508407i | ||||
\(78\) | −12.8238 | − | 54.6163i | −0.164408 | − | 0.700209i | ||||
\(79\) | −70.7527 | + | 59.3686i | −0.895604 | + | 0.751501i | −0.969326 | − | 0.245778i | \(-0.920957\pi\) |
0.0737220 | + | 0.997279i | \(0.476512\pi\) | |||||||
\(80\) | 38.3409 | + | 6.76054i | 0.479262 | + | 0.0845068i | ||||
\(81\) | −80.3709 | − | 10.0757i | −0.992233 | − | 0.124392i | ||||
\(82\) | 17.9552 | − | 6.53517i | 0.218966 | − | 0.0796972i | ||||
\(83\) | −84.2519 | + | 48.6429i | −1.01508 | + | 0.586059i | −0.912676 | − | 0.408684i | \(-0.865988\pi\) |
−0.102407 | + | 0.994743i | \(0.532655\pi\) | |||||||
\(84\) | −1.74129 | − | 31.0133i | −0.0207297 | − | 0.369206i | ||||
\(85\) | 7.92516 | − | 44.9458i | 0.0932372 | − | 0.528774i | ||||
\(86\) | 119.783 | + | 21.1209i | 1.39282 | + | 0.245592i | ||||
\(87\) | 46.0889 | − | 91.2942i | 0.529757 | − | 1.04936i | ||||
\(88\) | 38.3101 | + | 66.3550i | 0.435342 | + | 0.754035i | ||||
\(89\) | 29.9699 | + | 82.3415i | 0.336740 | + | 0.925186i | 0.986313 | + | 0.164886i | \(0.0527257\pi\) |
−0.649573 | + | 0.760300i | \(0.725052\pi\) | |||||||
\(90\) | −40.7378 | + | 42.8195i | −0.452642 | + | 0.475772i | ||||
\(91\) | −17.1393 | + | 97.2021i | −0.188344 | + | 1.06815i | ||||
\(92\) | −12.8015 | − | 15.2562i | −0.139147 | − | 0.165829i | ||||
\(93\) | 43.2168 | + | 45.9993i | 0.464697 | + | 0.494616i | ||||
\(94\) | 14.8276 | + | 25.6822i | 0.157741 | + | 0.273215i | ||||
\(95\) | 55.3297 | − | 49.2969i | 0.582418 | − | 0.518915i | ||||
\(96\) | 53.8537 | − | 3.02371i | 0.560976 | − | 0.0314969i | ||||
\(97\) | 20.8974 | + | 118.515i | 0.215437 | + | 1.22181i | 0.880146 | + | 0.474703i | \(0.157444\pi\) |
−0.664709 | + | 0.747102i | \(0.731444\pi\) | |||||||
\(98\) | 17.2599 | − | 47.4211i | 0.176121 | − | 0.483889i | ||||
\(99\) | −79.1395 | − | 4.94134i | −0.799388 | − | 0.0499125i | ||||
\(100\) | 1.98031 | + | 11.2309i | 0.0198031 | + | 0.112309i | ||||
\(101\) | −37.0485 | − | 6.53265i | −0.366817 | − | 0.0646797i | −0.0127983 | − | 0.999918i | \(-0.504074\pi\) |
−0.354019 | + | 0.935238i | \(0.615185\pi\) | |||||||
\(102\) | 3.31338 | + | 59.0130i | 0.0324842 | + | 0.578559i | ||||
\(103\) | −30.4971 | + | 52.8226i | −0.296089 | + | 0.512840i | −0.975238 | − | 0.221160i | \(-0.929016\pi\) |
0.679149 | + | 0.734000i | \(0.262349\pi\) | |||||||
\(104\) | −95.1231 | − | 16.7728i | −0.914646 | − | 0.161277i | ||||
\(105\) | 95.5627 | − | 40.9850i | 0.910121 | − | 0.390334i | ||||
\(106\) | −88.7255 | −0.837033 | ||||||||
\(107\) | 65.3314 | + | 37.7191i | 0.610573 | + | 0.352515i | 0.773190 | − | 0.634175i | \(-0.218660\pi\) |
−0.162616 | + | 0.986689i | \(0.551993\pi\) | |||||||
\(108\) | −15.8997 | + | 27.1446i | −0.147219 | + | 0.251339i | ||||
\(109\) | 12.0318 | + | 68.2356i | 0.110383 | + | 0.626014i | 0.988933 | + | 0.148363i | \(0.0474005\pi\) |
−0.878550 | + | 0.477651i | \(0.841488\pi\) | |||||||
\(110\) | −37.1899 | + | 44.3211i | −0.338090 | + | 0.402919i | ||||
\(111\) | −59.9975 | − | 63.8605i | −0.540518 | − | 0.575320i | ||||
\(112\) | 83.3566 | + | 30.3393i | 0.744255 | + | 0.270887i | ||||
\(113\) | −190.703 | + | 110.102i | −1.68764 | + | 0.974358i | −0.731316 | + | 0.682039i | \(0.761093\pi\) |
−0.956321 | + | 0.292319i | \(0.905573\pi\) | |||||||
\(114\) | −55.1655 | + | 78.5320i | −0.483908 | + | 0.688877i | ||||
\(115\) | 33.3339 | − | 57.7359i | 0.289860 | − | 0.502052i | ||||
\(116\) | −25.5306 | − | 30.4261i | −0.220091 | − | 0.262294i | ||||
\(117\) | 68.9005 | − | 72.4214i | 0.588893 | − | 0.618987i | ||||
\(118\) | −15.9098 | + | 90.2290i | −0.134829 | + | 0.764653i | ||||
\(119\) | 35.5658 | − | 97.7161i | 0.298872 | − | 0.821144i | ||||
\(120\) | 40.1085 | + | 93.5188i | 0.334237 | + | 0.779323i | ||||
\(121\) | 43.3769 | 0.358487 | ||||||||
\(122\) | −112.225 | − | 64.7932i | −0.919878 | − | 0.531092i | ||||
\(123\) | 27.2661 | + | 20.3876i | 0.221676 | + | 0.165753i | ||||
\(124\) | 23.0344 | − | 8.38383i | 0.185761 | − | 0.0676115i | ||||
\(125\) | −117.504 | + | 67.8411i | −0.940034 | + | 0.542729i | ||||
\(126\) | −108.351 | + | 79.9627i | −0.859929 | + | 0.634624i | ||||
\(127\) | 103.499 | − | 37.6707i | 0.814956 | − | 0.296620i | 0.0992867 | − | 0.995059i | \(-0.468344\pi\) |
0.715670 | + | 0.698439i | \(0.246122\pi\) | |||||||
\(128\) | −15.8282 | + | 43.4877i | −0.123658 | + | 0.339747i | ||||
\(129\) | 85.4219 | + | 199.174i | 0.662185 | + | 1.54398i | ||||
\(130\) | −12.6654 | − | 71.8290i | −0.0974261 | − | 0.552531i | ||||
\(131\) | 72.1862 | − | 198.330i | 0.551040 | − | 1.51397i | −0.281254 | − | 0.959633i | \(-0.590750\pi\) |
0.832293 | − | 0.554335i | \(-0.187027\pi\) | |||||||
\(132\) | −13.8785 | + | 27.4911i | −0.105140 | + | 0.208266i | ||||
\(133\) | 143.656 | − | 88.7237i | 1.08012 | − | 0.667096i | ||||
\(134\) | − | 117.532i | − | 0.877103i | ||||||
\(135\) | −103.591 | − | 18.9363i | −0.767339 | − | 0.140269i | ||||
\(136\) | 95.6262 | + | 34.8051i | 0.703134 | + | 0.255920i | ||||
\(137\) | −160.308 | + | 191.047i | −1.17013 | + | 1.39451i | −0.267791 | + | 0.963477i | \(0.586294\pi\) |
−0.902338 | + | 0.431029i | \(0.858151\pi\) | |||||||
\(138\) | −24.9352 | + | 82.6603i | −0.180690 | + | 0.598988i | ||||
\(139\) | −22.4269 | − | 18.8184i | −0.161344 | − | 0.135384i | 0.558541 | − | 0.829477i | \(-0.311361\pi\) |
−0.719886 | + | 0.694093i | \(0.755806\pi\) | |||||||
\(140\) | − | 40.3835i | − | 0.288454i | ||||||
\(141\) | −23.8128 | + | 47.1691i | −0.168885 | + | 0.334533i | ||||
\(142\) | 84.6930 | − | 30.8257i | 0.596429 | − | 0.217082i | ||||
\(143\) | 62.8999 | − | 74.9612i | 0.439859 | − | 0.524204i | ||||
\(144\) | −53.3458 | − | 72.2846i | −0.370457 | − | 0.501977i | ||||
\(145\) | 66.4790 | − | 115.145i | 0.458476 | − | 0.794104i | ||||
\(146\) | 166.547 | + | 29.3668i | 1.14073 | + | 0.201142i | ||||
\(147\) | 87.5361 | − | 20.5533i | 0.595483 | − | 0.139818i | ||||
\(148\) | −31.9784 | + | 11.6392i | −0.216071 | + | 0.0786432i | ||||
\(149\) | 38.9188 | − | 6.86244i | 0.261200 | − | 0.0460566i | −0.0415144 | − | 0.999138i | \(-0.513218\pi\) |
0.302714 | + | 0.953081i | \(0.402107\pi\) | |||||||
\(150\) | 36.0321 | − | 33.8525i | 0.240214 | − | 0.225683i | ||||
\(151\) | −101.770 | + | 176.271i | −0.673974 | + | 1.16736i | 0.302794 | + | 0.953056i | \(0.402081\pi\) |
−0.976768 | + | 0.214301i | \(0.931253\pi\) | |||||||
\(152\) | 86.8261 | + | 140.584i | 0.571224 | + | 0.924892i | ||||
\(153\) | −84.7368 | + | 62.5355i | −0.553836 | + | 0.408729i | ||||
\(154\) | −100.984 | + | 84.7358i | −0.655742 | + | 0.550233i | ||||
\(155\) | 52.7449 | + | 62.8589i | 0.340289 | + | 0.405541i | ||||
\(156\) | −15.3022 | − | 35.6793i | −0.0980909 | − | 0.228713i | ||||
\(157\) | 140.985 | − | 118.300i | 0.897993 | − | 0.753506i | −0.0718039 | − | 0.997419i | \(-0.522876\pi\) |
0.969797 | + | 0.243913i | \(0.0784311\pi\) | |||||||
\(158\) | 99.9594 | − | 119.127i | 0.632655 | − | 0.753968i | ||||
\(159\) | −86.5953 | − | 132.263i | −0.544625 | − | 0.831843i | ||||
\(160\) | 70.1249 | 0.438281 | ||||||||
\(161\) | 97.6395 | − | 116.362i | 0.606457 | − | 0.722747i | ||||
\(162\) | 136.211 | − | 6.79141i | 0.840810 | − | 0.0419223i | ||||
\(163\) | −81.8983 | − | 141.852i | −0.502444 | − | 0.870258i | −0.999996 | − | 0.00282394i | \(-0.999101\pi\) |
0.497552 | − | 0.867434i | \(-0.334232\pi\) | |||||||
\(164\) | 11.4510 | − | 6.61121i | 0.0698229 | − | 0.0403123i | ||||
\(165\) | −102.366 | − | 12.1818i | −0.620403 | − | 0.0738293i | ||||
\(166\) | 125.479 | − | 105.289i | 0.755896 | − | 0.634272i | ||||
\(167\) | 10.7711 | + | 29.5933i | 0.0644974 | + | 0.177205i | 0.967755 | − | 0.251894i | \(-0.0810534\pi\) |
−0.903257 | + | 0.429099i | \(0.858831\pi\) | |||||||
\(168\) | 52.9966 | + | 225.711i | 0.315456 | + | 1.34352i | ||||
\(169\) | −7.92533 | − | 44.9468i | −0.0468954 | − | 0.265957i | ||||
\(170\) | 76.8431i | 0.452018i | ||||||||
\(171\) | −170.909 | − | 5.58852i | −0.999466 | − | 0.0326814i | ||||
\(172\) | 84.1682 | 0.489350 | ||||||||
\(173\) | 323.216 | − | 56.9917i | 1.86830 | − | 0.329432i | 0.879175 | − | 0.476499i | \(-0.158095\pi\) |
0.989126 | + | 0.147068i | \(0.0469835\pi\) | |||||||
\(174\) | −49.7293 | + | 164.853i | −0.285801 | + | 0.947430i | ||||
\(175\) | −81.7359 | + | 29.7494i | −0.467062 | + | 0.169997i | ||||
\(176\) | −56.5301 | − | 67.3699i | −0.321194 | − | 0.382784i | ||||
\(177\) | −150.032 | + | 64.3460i | −0.847639 | + | 0.363537i | ||||
\(178\) | −73.7683 | − | 127.771i | −0.414429 | − | 0.717812i | ||||
\(179\) | −200.240 | + | 115.609i | −1.11866 | + | 0.645859i | −0.941059 | − | 0.338243i | \(-0.890167\pi\) |
−0.177602 | + | 0.984102i | \(0.556834\pi\) | |||||||
\(180\) | −22.6168 | + | 34.0761i | −0.125649 | + | 0.189312i | ||||
\(181\) | −121.661 | − | 102.086i | −0.672162 | − | 0.564011i | 0.241542 | − | 0.970390i | \(-0.422347\pi\) |
−0.913705 | + | 0.406379i | \(0.866791\pi\) | |||||||
\(182\) | − | 166.185i | − | 0.913103i | ||||||
\(183\) | −12.9436 | − | 230.532i | −0.0707299 | − | 1.25974i | ||||
\(184\) | 113.874 | + | 95.5512i | 0.618878 | + | 0.519300i | ||||
\(185\) | −73.2253 | − | 87.2665i | −0.395812 | − | 0.471711i | ||||
\(186\) | −85.1080 | − | 63.6374i | −0.457570 | − | 0.342137i | ||||
\(187\) | −78.9755 | + | 66.2684i | −0.422329 | + | 0.354376i | ||||
\(188\) | 13.1909 | + | 15.7203i | 0.0701644 | + | 0.0836187i | ||||
\(189\) | −224.950 | − | 83.4760i | −1.19021 | − | 0.441672i | ||||
\(190\) | −77.3307 | + | 97.9176i | −0.407004 | + | 0.515356i | ||||
\(191\) | −15.2148 | − | 8.78425i | −0.0796584 | − | 0.0459908i | 0.459642 | − | 0.888104i | \(-0.347978\pi\) |
−0.539300 | + | 0.842114i | \(0.681311\pi\) | |||||||
\(192\) | −205.025 | + | 48.1395i | −1.06784 | + | 0.250726i | ||||
\(193\) | −7.79637 | − | 44.2154i | −0.0403957 | − | 0.229095i | 0.957925 | − | 0.287017i | \(-0.0926637\pi\) |
−0.998321 | + | 0.0579218i | \(0.981553\pi\) | |||||||
\(194\) | −69.3012 | − | 190.404i | −0.357223 | − | 0.981461i | ||||
\(195\) | 94.7141 | − | 88.9848i | 0.485713 | − | 0.456332i | ||||
\(196\) | 6.06403 | − | 34.3908i | 0.0309390 | − | 0.175464i | ||||
\(197\) | −17.8065 | − | 10.2806i | −0.0903886 | − | 0.0521859i | 0.454124 | − | 0.890938i | \(-0.349952\pi\) |
−0.544513 | + | 0.838752i | \(0.683285\pi\) | |||||||
\(198\) | 132.668 | − | 14.9449i | 0.670041 | − | 0.0754791i | ||||
\(199\) | −280.463 | − | 235.336i | −1.40936 | − | 1.18259i | −0.956759 | − | 0.290882i | \(-0.906051\pi\) |
−0.452602 | − | 0.891713i | \(-0.649504\pi\) | |||||||
\(200\) | −29.1131 | − | 79.9877i | −0.145566 | − | 0.399939i | ||||
\(201\) | 175.205 | − | 114.710i | 0.871664 | − | 0.570697i | ||||
\(202\) | 63.3412 | 0.313570 | ||||||||
\(203\) | 194.726 | − | 232.066i | 0.959243 | − | 1.14318i | ||||
\(204\) | 9.34929 | + | 39.8184i | 0.0458299 | + | 0.195188i | ||||
\(205\) | 33.9068 | + | 28.4512i | 0.165399 | + | 0.138786i | ||||
\(206\) | 35.1243 | − | 96.5032i | 0.170506 | − | 0.468462i | ||||
\(207\) | −147.558 | + | 43.5048i | −0.712842 | + | 0.210168i | ||||
\(208\) | 110.867 | 0.533016 | ||||||||
\(209\) | −167.324 | + | 4.96599i | −0.800593 | + | 0.0237607i | ||||
\(210\) | −146.472 | + | 95.8984i | −0.697487 | + | 0.456659i | ||||
\(211\) | −56.4992 | − | 20.5640i | −0.267769 | − | 0.0974599i | 0.204647 | − | 0.978836i | \(-0.434396\pi\) |
−0.472415 | + | 0.881376i | \(0.656618\pi\) | |||||||
\(212\) | −60.4652 | + | 10.6616i | −0.285213 | + | 0.0502908i | ||||
\(213\) | 128.611 | + | 96.1661i | 0.603810 | + | 0.451484i | ||||
\(214\) | −119.356 | − | 43.4420i | −0.557738 | − | 0.203000i | ||||
\(215\) | 96.3655 | + | 264.762i | 0.448212 | + | 1.23145i | ||||
\(216\) | 81.6906 | − | 220.139i | 0.378197 | − | 1.01916i | ||||
\(217\) | 93.4814 | + | 161.915i | 0.430790 | + | 0.746150i | ||||
\(218\) | −39.9005 | − | 109.626i | −0.183030 | − | 0.502870i | ||||
\(219\) | 118.772 | + | 276.934i | 0.542336 | + | 1.26454i | ||||
\(220\) | −20.0186 | + | 34.6731i | −0.0909934 | + | 0.157605i | ||||
\(221\) | − | 129.966i | − | 0.588082i | ||||||
\(222\) | 118.155 | + | 88.3473i | 0.532228 | + | 0.397961i | ||||
\(223\) | 141.135 | + | 51.3690i | 0.632893 | + | 0.230354i | 0.638490 | − | 0.769630i | \(-0.279559\pi\) |
−0.00559674 | + | 0.999984i | \(0.501782\pi\) | |||||||
\(224\) | 157.350 | + | 27.7450i | 0.702455 | + | 0.123862i | ||||
\(225\) | 85.6310 | + | 20.6733i | 0.380582 | + | 0.0918814i | ||||
\(226\) | 284.019 | − | 238.320i | 1.25672 | − | 1.05452i | ||||
\(227\) | −196.196 | − | 113.274i | −0.864300 | − | 0.499004i | 0.00114966 | − | 0.999999i | \(-0.499634\pi\) |
−0.865450 | + | 0.500995i | \(0.832967\pi\) | |||||||
\(228\) | −28.1577 | + | 60.1474i | −0.123499 | + | 0.263805i | ||||
\(229\) | 180.354 | + | 312.381i | 0.787570 | + | 1.36411i | 0.927452 | + | 0.373943i | \(0.121994\pi\) |
−0.139882 | + | 0.990168i | \(0.544672\pi\) | |||||||
\(230\) | −38.3914 | + | 105.480i | −0.166919 | + | 0.458607i | ||||
\(231\) | −224.875 | − | 67.8357i | −0.973486 | − | 0.293661i | ||||
\(232\) | 227.102 | + | 190.562i | 0.978890 | + | 0.821386i | ||||
\(233\) | −120.547 | + | 21.2556i | −0.517368 | + | 0.0912259i | −0.426234 | − | 0.904613i | \(-0.640160\pi\) |
−0.0911335 | + | 0.995839i | \(0.529049\pi\) | |||||||
\(234\) | −93.0719 | + | 140.229i | −0.397743 | + | 0.599268i | ||||
\(235\) | −34.3478 | + | 59.4922i | −0.146161 | + | 0.253158i | ||||
\(236\) | 63.4016i | 0.268651i | ||||||||
\(237\) | 275.142 | + | 32.7425i | 1.16094 | + | 0.138154i | ||||
\(238\) | −30.4031 | + | 172.424i | −0.127744 | + | 0.724472i | ||||
\(239\) | 89.0446 | + | 51.4099i | 0.372572 | + | 0.215104i | 0.674581 | − | 0.738201i | \(-0.264324\pi\) |
−0.302010 | + | 0.953305i | \(0.597658\pi\) | |||||||
\(240\) | −63.9771 | − | 97.7166i | −0.266571 | − | 0.407152i | ||||
\(241\) | 34.1761 | − | 193.822i | 0.141809 | − | 0.804241i | −0.828064 | − | 0.560633i | \(-0.810558\pi\) |
0.969874 | − | 0.243608i | \(-0.0783311\pi\) | |||||||
\(242\) | −71.9245 | + | 12.6822i | −0.297209 | + | 0.0524059i | ||||
\(243\) | 143.065 | + | 196.422i | 0.588744 | + | 0.808319i | ||||
\(244\) | −84.2657 | − | 30.6702i | −0.345351 | − | 0.125698i | ||||
\(245\) | 115.124 | − | 20.2994i | 0.469893 | − | 0.0828548i | ||||
\(246\) | −51.1715 | − | 25.8334i | −0.208014 | − | 0.105014i | ||||
\(247\) | 130.791 | − | 165.610i | 0.529518 | − | 0.670485i | ||||
\(248\) | −158.452 | + | 91.4820i | −0.638918 | + | 0.368879i | ||||
\(249\) | 279.421 | + | 84.2897i | 1.12217 | + | 0.338513i | ||||
\(250\) | 175.002 | − | 146.844i | 0.700009 | − | 0.587377i | ||||
\(251\) | −100.093 | − | 17.6492i | −0.398779 | − | 0.0703154i | −0.0293375 | − | 0.999570i | \(-0.509340\pi\) |
−0.369441 | + | 0.929254i | \(0.620451\pi\) | |||||||
\(252\) | −64.2311 | + | 67.5134i | −0.254885 | + | 0.267910i | ||||
\(253\) | −141.515 | + | 51.5072i | −0.559348 | + | 0.203586i | ||||
\(254\) | −160.602 | + | 92.7234i | −0.632290 | + | 0.365053i | ||||
\(255\) | −114.550 | + | 74.9982i | −0.449215 | + | 0.294110i | ||||
\(256\) | −35.2299 | + | 199.799i | −0.137617 | + | 0.780464i | ||||
\(257\) | 333.259 | + | 58.7625i | 1.29673 | + | 0.228648i | 0.779068 | − | 0.626939i | \(-0.215693\pi\) |
0.517659 | + | 0.855587i | \(0.326804\pi\) | |||||||
\(258\) | −199.873 | − | 305.281i | −0.774703 | − | 1.18326i | ||||
\(259\) | −129.779 | − | 224.785i | −0.501079 | − | 0.867894i | ||||
\(260\) | −17.2626 | − | 47.4286i | −0.0663945 | − | 0.182418i | ||||
\(261\) | −294.281 | + | 86.7634i | −1.12751 | + | 0.332427i | ||||
\(262\) | −61.7077 | + | 349.962i | −0.235526 | + | 1.33573i | ||||
\(263\) | −45.3299 | − | 54.0221i | −0.172357 | − | 0.205407i | 0.672950 | − | 0.739688i | \(-0.265027\pi\) |
−0.845307 | + | 0.534281i | \(0.820583\pi\) | |||||||
\(264\) | 66.3848 | − | 220.066i | 0.251458 | − | 0.833583i | ||||
\(265\) | −102.765 | − | 177.995i | −0.387793 | − | 0.671677i | ||||
\(266\) | −212.260 | + | 189.117i | −0.797970 | + | 0.710965i | ||||
\(267\) | 118.470 | − | 234.669i | 0.443708 | − | 0.878911i | ||||
\(268\) | −14.1231 | − | 80.0963i | −0.0526983 | − | 0.298867i | ||||
\(269\) | −2.52172 | + | 6.92838i | −0.00937443 | + | 0.0257560i | −0.944292 | − | 0.329110i | \(-0.893251\pi\) |
0.934917 | + | 0.354866i | \(0.115474\pi\) | |||||||
\(270\) | 177.303 | + | 1.11164i | 0.656679 | + | 0.00411719i | ||||
\(271\) | 21.0870 | + | 119.590i | 0.0778119 | + | 0.441293i | 0.998677 | + | 0.0514130i | \(0.0163725\pi\) |
−0.920866 | + | 0.389880i | \(0.872516\pi\) | |||||||
\(272\) | −115.030 | − | 20.2829i | −0.422905 | − | 0.0745695i | ||||
\(273\) | 247.731 | − | 162.195i | 0.907441 | − | 0.594120i | ||||
\(274\) | 209.954 | − | 363.651i | 0.766255 | − | 1.32719i | ||||
\(275\) | 84.9252 | + | 14.9746i | 0.308819 | + | 0.0544531i | ||||
\(276\) | −7.06019 | + | 59.3282i | −0.0255804 | + | 0.214957i | ||||
\(277\) | 9.64082 | 0.0348044 | 0.0174022 | − | 0.999849i | \(-0.494460\pi\) | ||||
0.0174022 | + | 0.999849i | \(0.494460\pi\) | |||||||
\(278\) | 42.6887 | + | 24.6463i | 0.153556 | + | 0.0886558i | ||||
\(279\) | 11.7996 | − | 188.980i | 0.0422925 | − | 0.677347i | ||||
\(280\) | 52.3419 | + | 296.846i | 0.186935 | + | 1.06016i | ||||
\(281\) | −234.004 | + | 278.875i | −0.832754 | + | 0.992437i | 0.167225 | + | 0.985919i | \(0.446519\pi\) |
−0.999979 | + | 0.00651863i | \(0.997925\pi\) | |||||||
\(282\) | 25.6937 | − | 85.1748i | 0.0911125 | − | 0.302038i | ||||
\(283\) | −292.793 | − | 106.568i | −1.03460 | − | 0.376565i | −0.231772 | − | 0.972770i | \(-0.574452\pi\) |
−0.802832 | + | 0.596205i | \(0.796675\pi\) | |||||||
\(284\) | 54.0129 | − | 31.1844i | 0.190186 | − | 0.109804i | ||||
\(285\) | −221.440 | − | 19.7101i | −0.776982 | − | 0.0691583i | ||||
\(286\) | −82.3795 | + | 142.686i | −0.288040 | + | 0.498900i | ||||
\(287\) | 64.8251 | + | 77.2555i | 0.225871 | + | 0.269183i | ||||
\(288\) | −117.235 | − | 111.536i | −0.407067 | − | 0.387276i | ||||
\(289\) | 26.4073 | − | 149.764i | 0.0913749 | − | 0.518213i | ||||
\(290\) | −76.5655 | + | 210.362i | −0.264019 | + | 0.725386i | ||||
\(291\) | 216.197 | − | 289.139i | 0.742945 | − | 0.993606i | ||||
\(292\) | 117.029 | 0.400783 | ||||||||
\(293\) | 164.392 | + | 94.9120i | 0.561066 | + | 0.323932i | 0.753573 | − | 0.657364i | \(-0.228328\pi\) |
−0.192507 | + | 0.981296i | \(0.561662\pi\) | |||||||
\(294\) | −139.137 | + | 59.6732i | −0.473255 | + | 0.202970i | ||||
\(295\) | −199.438 | + | 72.5895i | −0.676061 | + | 0.246066i | ||||
\(296\) | 219.977 | − | 127.004i | 0.743166 | − | 0.429067i | ||||
\(297\) | 151.761 | + | 183.182i | 0.510981 | + | 0.616775i | ||||
\(298\) | −62.5260 | + | 22.7576i | −0.209819 | + | 0.0763678i | ||||
\(299\) | 64.9321 | − | 178.400i | 0.217164 | − | 0.596654i | ||||
\(300\) | 20.4875 | − | 27.3998i | 0.0682918 | − | 0.0913327i | ||||
\(301\) | 111.476 | + | 632.214i | 0.370353 | + | 2.10038i | ||||
\(302\) | 117.211 | − | 322.035i | 0.388116 | − | 1.06634i | ||||
\(303\) | 61.8205 | + | 94.4227i | 0.204028 | + | 0.311626i | ||||
\(304\) | −126.166 | − | 141.606i | −0.415020 | − | 0.465808i | ||||
\(305\) | − | 300.184i | − | 0.984209i | ||||||
\(306\) | 122.221 | − | 128.467i | 0.399415 | − | 0.419826i | ||||
\(307\) | −121.994 | − | 44.4021i | −0.397374 | − | 0.144632i | 0.135600 | − | 0.990764i | \(-0.456704\pi\) |
−0.532975 | + | 0.846131i | \(0.678926\pi\) | |||||||
\(308\) | −58.6371 | + | 69.8810i | −0.190380 | + | 0.226886i | ||||
\(309\) | 178.138 | − | 41.8265i | 0.576499 | − | 0.135361i | ||||
\(310\) | −105.836 | − | 88.8070i | −0.341407 | − | 0.286474i | ||||
\(311\) | 548.443i | 1.76348i | 0.471733 | + | 0.881742i | \(0.343629\pi\) | ||||
−0.471733 | + | 0.881742i | \(0.656371\pi\) | |||||||
\(312\) | 158.726 | + | 242.433i | 0.508737 | + | 0.777029i | ||||
\(313\) | −378.572 | + | 137.789i | −1.20950 | + | 0.440220i | −0.866529 | − | 0.499127i | \(-0.833654\pi\) |
−0.342967 | + | 0.939348i | \(0.611432\pi\) | |||||||
\(314\) | −199.183 | + | 237.378i | −0.634342 | + | 0.755979i | ||||
\(315\) | −285.911 | − | 124.750i | −0.907655 | − | 0.396032i | ||||
\(316\) | 53.8061 | − | 93.1950i | 0.170273 | − | 0.294921i | ||||
\(317\) | 244.528 | + | 43.1169i | 0.771381 | + | 0.136015i | 0.545468 | − | 0.838132i | \(-0.316352\pi\) |
0.225914 | + | 0.974147i | \(0.427463\pi\) | |||||||
\(318\) | 182.256 | + | 193.991i | 0.573133 | + | 0.610035i | ||||
\(319\) | −282.229 | + | 102.723i | −0.884730 | + | 0.322015i | ||||
\(320\) | −269.640 | + | 47.5448i | −0.842625 | + | 0.148578i | ||||
\(321\) | −51.7314 | − | 220.323i | −0.161157 | − | 0.686364i | ||||
\(322\) | −127.878 | + | 221.491i | −0.397136 | + | 0.687860i | ||||
\(323\) | −166.000 | + | 147.900i | −0.513931 | + | 0.457895i | ||||
\(324\) | 92.0100 | − | 20.9960i | 0.283981 | − | 0.0648024i | ||||
\(325\) | −83.2780 | + | 69.8786i | −0.256240 | + | 0.215011i | ||||
\(326\) | 177.272 | + | 211.264i | 0.543778 | + | 0.648050i | ||||
\(327\) | 124.476 | − | 166.473i | 0.380662 | − | 0.509093i | ||||
\(328\) | −75.6032 | + | 63.4386i | −0.230497 | + | 0.193410i | ||||
\(329\) | −100.610 | + | 119.902i | −0.305804 | + | 0.364443i | ||||
\(330\) | 173.298 | − | 9.73013i | 0.525147 | − | 0.0294852i | ||||
\(331\) | 288.177 | 0.870625 | 0.435312 | − | 0.900280i | \(-0.356638\pi\) | ||||
0.435312 | + | 0.900280i | \(0.356638\pi\) | |||||||
\(332\) | 72.8600 | − | 86.8312i | 0.219458 | − | 0.261540i | ||||
\(333\) | −16.3813 | + | 262.359i | −0.0491930 | + | 0.787866i | ||||
\(334\) | −26.5121 | − | 45.9203i | −0.0793775 | − | 0.137486i | ||||
\(335\) | 235.784 | − | 136.130i | 0.703832 | − | 0.406357i | ||||
\(336\) | −104.893 | − | 244.574i | −0.312182 | − | 0.727899i | ||||
\(337\) | 282.055 | − | 236.672i | 0.836958 | − | 0.702291i | −0.119919 | − | 0.992784i | \(-0.538264\pi\) |
0.956877 | + | 0.290492i | \(0.0938191\pi\) | |||||||
\(338\) | 26.2824 | + | 72.2104i | 0.0777587 | + | 0.213640i | ||||
\(339\) | 632.464 | + | 190.789i | 1.86568 | + | 0.562798i | ||||
\(340\) | 9.23380 | + | 52.3675i | 0.0271582 | + | 0.154022i | ||||
\(341\) | − | 185.359i | − | 0.543575i | ||||||
\(342\) | 285.023 | − | 40.7026i | 0.833399 | − | 0.119013i | ||||
\(343\) | −169.093 | −0.492982 | ||||||||
\(344\) | −618.692 | + | 109.092i | −1.79852 | + | 0.317128i | ||||
\(345\) | −194.708 | + | 45.7171i | −0.564371 | + | 0.132513i | ||||
\(346\) | −519.271 | + | 188.999i | −1.50078 | + | 0.546241i | ||||
\(347\) | 335.079 | + | 399.332i | 0.965647 | + | 1.15081i | 0.988522 | + | 0.151075i | \(0.0482734\pi\) |
−0.0228756 | + | 0.999738i | \(0.507282\pi\) | |||||||
\(348\) | −14.0804 | + | 118.321i | −0.0404610 | + | 0.340002i | ||||
\(349\) | 208.572 | + | 361.257i | 0.597628 | + | 1.03512i | 0.993170 | + | 0.116674i | \(0.0372232\pi\) |
−0.395543 | + | 0.918448i | \(0.629443\pi\) | |||||||
\(350\) | 126.831 | − | 73.2257i | 0.362373 | − | 0.209216i | ||||
\(351\) | −299.876 | − | 1.88014i | −0.854348 | − | 0.00535652i | ||||
\(352\) | −121.347 | − | 101.822i | −0.344734 | − | 0.289267i | ||||
\(353\) | − | 339.929i | − | 0.962972i | −0.876454 | − | 0.481486i | \(-0.840097\pi\) | ||
0.876454 | − | 0.481486i | \(-0.159903\pi\) | |||||||
\(354\) | 229.960 | − | 150.559i | 0.649604 | − | 0.425309i | ||||
\(355\) | 159.935 | + | 134.201i | 0.450521 | + | 0.378032i | ||||
\(356\) | −65.6256 | − | 78.2095i | −0.184342 | − | 0.219690i | ||||
\(357\) | −286.706 | + | 122.963i | −0.803098 | + | 0.344434i | ||||
\(358\) | 298.223 | − | 250.239i | 0.833026 | − | 0.698992i | ||||
\(359\) | 62.8804 | + | 74.9380i | 0.175154 | + | 0.208741i | 0.846478 | − | 0.532423i | \(-0.178718\pi\) |
−0.671324 | + | 0.741164i | \(0.734274\pi\) | |||||||
\(360\) | 122.082 | − | 279.796i | 0.339117 | − | 0.777212i | ||||
\(361\) | −360.365 | + | 21.4093i | −0.998240 | + | 0.0593056i | ||||
\(362\) | 231.577 | + | 133.701i | 0.639717 | + | 0.369341i | ||||
\(363\) | −89.1031 | − | 94.8401i | −0.245463 | − | 0.261267i | ||||
\(364\) | −19.9695 | − | 113.253i | −0.0548612 | − | 0.311133i | ||||
\(365\) | 133.988 | + | 368.129i | 0.367090 | + | 1.00857i | ||||
\(366\) | 88.8633 | + | 378.467i | 0.242796 | + | 1.03406i | ||||
\(367\) | 99.5311 | − | 564.469i | 0.271202 | − | 1.53806i | −0.479571 | − | 0.877503i | \(-0.659208\pi\) |
0.750773 | − | 0.660560i | \(-0.229681\pi\) | |||||||
\(368\) | −147.764 | − | 85.3115i | −0.401532 | − | 0.231825i | ||||
\(369\) | −11.4332 | − | 101.495i | −0.0309843 | − | 0.275053i | ||||
\(370\) | 146.931 | + | 123.290i | 0.397112 | + | 0.333216i | ||||
\(371\) | −160.166 | − | 440.052i | −0.431714 | − | 1.18613i | ||||
\(372\) | −65.6469 | − | 33.1411i | −0.176470 | − | 0.0890889i | ||||
\(373\) | −584.045 | −1.56580 | −0.782902 | − | 0.622145i | \(-0.786261\pi\) | ||||
−0.782902 | + | 0.622145i | \(0.786261\pi\) | |||||||
\(374\) | 111.577 | − | 132.972i | 0.298333 | − | 0.355540i | ||||
\(375\) | 389.701 | + | 117.557i | 1.03920 | + | 0.313485i | ||||
\(376\) | −117.337 | − | 98.4578i | −0.312068 | − | 0.261856i | ||||
\(377\) | 129.497 | − | 355.789i | 0.343493 | − | 0.943738i | ||||
\(378\) | 397.402 | + | 72.6447i | 1.05133 | + | 0.192182i | ||||
\(379\) | −181.268 | −0.478278 | −0.239139 | − | 0.970985i | \(-0.576865\pi\) | ||||
−0.239139 | + | 0.970985i | \(0.576865\pi\) | |||||||
\(380\) | −40.9336 | + | 76.0219i | −0.107720 | + | 0.200058i | ||||
\(381\) | −294.968 | − | 148.911i | −0.774195 | − | 0.390844i | ||||
\(382\) | 27.7963 | + | 10.1170i | 0.0727652 | + | 0.0264844i | ||||
\(383\) | −557.469 | + | 98.2968i | −1.45553 | + | 0.256650i | −0.844755 | − | 0.535153i | \(-0.820254\pi\) |
−0.610777 | + | 0.791803i | \(0.709143\pi\) | |||||||
\(384\) | 127.596 | − | 54.7235i | 0.332281 | − | 0.142509i | ||||
\(385\) | −286.954 | − | 104.443i | −0.745336 | − | 0.271280i | ||||
\(386\) | 25.8548 | + | 71.0354i | 0.0669813 | + | 0.184030i | ||||
\(387\) | 260.007 | − | 595.902i | 0.671852 | − | 1.53980i | ||||
\(388\) | −70.1076 | − | 121.430i | −0.180690 | − | 0.312964i | ||||
\(389\) | 38.7263 | + | 106.400i | 0.0995534 | + | 0.273521i | 0.979464 | − | 0.201618i | \(-0.0646200\pi\) |
−0.879911 | + | 0.475139i | \(0.842398\pi\) | |||||||
\(390\) | −131.032 | + | 175.240i | −0.335978 | + | 0.449334i | ||||
\(391\) | −100.008 | + | 173.219i | −0.255775 | + | 0.443015i | ||||
\(392\) | 260.655i | 0.664937i | ||||||||
\(393\) | −581.914 | + | 249.572i | −1.48070 | + | 0.635044i | ||||
\(394\) | 32.5313 | + | 11.8404i | 0.0825668 | + | 0.0300519i | ||||
\(395\) | 354.761 | + | 62.5539i | 0.898128 | + | 0.158364i | ||||
\(396\) | 88.6157 | − | 26.1267i | 0.223777 | − | 0.0659765i | ||||
\(397\) | 408.027 | − | 342.375i | 1.02778 | − | 0.862406i | 0.0371905 | − | 0.999308i | \(-0.488159\pi\) |
0.990585 | + | 0.136903i | \(0.0437147\pi\) | |||||||
\(398\) | 533.850 | + | 308.218i | 1.34133 | + | 0.774418i | ||||
\(399\) | −489.080 | − | 131.840i | −1.22576 | − | 0.330425i | ||||
\(400\) | 48.8513 | + | 84.6130i | 0.122128 | + | 0.211532i | ||||
\(401\) | −218.167 | + | 599.408i | −0.544057 | + | 1.49478i | 0.297557 | + | 0.954704i | \(0.403828\pi\) |
−0.841614 | + | 0.540080i | \(0.818394\pi\) | |||||||
\(402\) | −256.974 | + | 241.429i | −0.639238 | + | 0.600570i | ||||
\(403\) | 179.002 | + | 150.201i | 0.444175 | + | 0.372707i | ||||
\(404\) | 43.1662 | − | 7.61136i | 0.106847 | − | 0.0188400i | ||||
\(405\) | 171.389 | + | 265.391i | 0.423184 | + | 0.655286i | ||||
\(406\) | −255.032 | + | 441.728i | −0.628157 | + | 1.08800i | ||||
\(407\) | 257.332i | 0.632266i | ||||||||
\(408\) | −120.333 | − | 280.574i | −0.294934 | − | 0.687682i | ||||
\(409\) | −84.1442 | + | 477.206i | −0.205732 | + | 1.16676i | 0.690553 | + | 0.723282i | \(0.257367\pi\) |
−0.896284 | + | 0.443480i | \(0.853744\pi\) | |||||||
\(410\) | −64.5402 | − | 37.2623i | −0.157415 | − | 0.0908837i | ||||
\(411\) | 747.007 | − | 41.9419i | 1.81754 | − | 0.102049i | ||||
\(412\) | 12.3405 | − | 69.9863i | 0.0299526 | − | 0.169870i | ||||
\(413\) | −476.230 | + | 83.9721i | −1.15310 | + | 0.203322i | ||||
\(414\) | 231.951 | − | 115.279i | 0.560268 | − | 0.278451i | ||||
\(415\) | 356.557 | + | 129.776i | 0.859175 | + | 0.312714i | ||||
\(416\) | 196.660 | − | 34.6765i | 0.472741 | − | 0.0833569i | ||||
\(417\) | 4.92353 | + | 87.6905i | 0.0118070 | + | 0.210289i | ||||
\(418\) | 275.993 | − | 57.1552i | 0.660270 | − | 0.136735i | ||||
\(419\) | 358.693 | − | 207.091i | 0.856069 | − | 0.494252i | −0.00662482 | − | 0.999978i | \(-0.502109\pi\) |
0.862694 | + | 0.505726i | \(0.168775\pi\) | |||||||
\(420\) | −88.2953 | + | 82.9542i | −0.210227 | + | 0.197510i | ||||
\(421\) | 245.382 | − | 205.900i | 0.582856 | − | 0.489074i | −0.303028 | − | 0.952982i | \(-0.597998\pi\) |
0.885884 | + | 0.463908i | \(0.153553\pi\) | |||||||
\(422\) | 99.6954 | + | 17.5790i | 0.236245 | + | 0.0416564i | ||||
\(423\) | 152.047 | − | 44.8282i | 0.359449 | − | 0.105977i | ||||
\(424\) | 430.641 | − | 156.740i | 1.01566 | − | 0.369671i | ||||
\(425\) | 99.1890 | − | 57.2668i | 0.233386 | − | 0.134745i | ||||
\(426\) | −241.371 | − | 121.853i | −0.566598 | − | 0.286041i | ||||
\(427\) | 118.768 | − | 673.568i | 0.278146 | − | 1.57744i | ||||
\(428\) | −86.5596 | − | 15.2628i | −0.202242 | − | 0.0356607i | ||||
\(429\) | −293.103 | + | 16.4567i | −0.683224 | + | 0.0383607i | ||||
\(430\) | −237.196 | − | 410.835i | −0.551618 | − | 0.955430i | ||||
\(431\) | 107.637 | + | 295.730i | 0.249738 | + | 0.686150i | 0.999696 | + | 0.0246639i | \(0.00785154\pi\) |
−0.749958 | + | 0.661486i | \(0.769926\pi\) | |||||||
\(432\) | −48.4637 | + | 265.120i | −0.112184 | + | 0.613705i | ||||
\(433\) | 134.690 | − | 763.863i | 0.311062 | − | 1.76412i | −0.282439 | − | 0.959285i | \(-0.591143\pi\) |
0.593501 | − | 0.804833i | \(-0.297745\pi\) | |||||||
\(434\) | −202.344 | − | 241.144i | −0.466230 | − | 0.555631i | ||||
\(435\) | −388.314 | + | 91.1754i | −0.892675 | + | 0.209599i | ||||
\(436\) | −40.3647 | − | 69.9138i | −0.0925797 | − | 0.160353i | ||||
\(437\) | −301.754 | + | 120.082i | −0.690512 | + | 0.274788i | ||||
\(438\) | −277.907 | − | 424.466i | −0.634490 | − | 0.969101i | ||||
\(439\) | −116.154 | − | 658.742i | −0.264588 | − | 1.50055i | −0.770207 | − | 0.637795i | \(-0.779847\pi\) |
0.505619 | − | 0.862757i | \(-0.331264\pi\) | |||||||
\(440\) | 102.209 | − | 280.817i | 0.232293 | − | 0.638221i | ||||
\(441\) | −224.751 | − | 149.171i | −0.509640 | − | 0.338256i | ||||
\(442\) | 37.9986 | + | 215.501i | 0.0859696 | + | 0.487558i | ||||
\(443\) | 437.039 | + | 77.0618i | 0.986545 | + | 0.173954i | 0.643568 | − | 0.765389i | \(-0.277454\pi\) |
0.342977 | + | 0.939344i | \(0.388565\pi\) | |||||||
\(444\) | 91.1370 | + | 46.0095i | 0.205264 | + | 0.103625i | ||||
\(445\) | 170.883 | − | 295.977i | 0.384006 | − | 0.665117i | ||||
\(446\) | −249.039 | − | 43.9124i | −0.558384 | − | 0.0984582i | ||||
\(447\) | −94.9496 | − | 70.9963i | −0.212415 | − | 0.158828i | ||||
\(448\) | −623.843 | −1.39251 | ||||||||
\(449\) | −183.951 | − | 106.204i | −0.409691 | − | 0.236535i | 0.280966 | − | 0.959718i | \(-0.409345\pi\) |
−0.690657 | + | 0.723183i | \(0.742678\pi\) | |||||||
\(450\) | −148.032 | − | 9.24284i | −0.328959 | − | 0.0205397i | ||||
\(451\) | −17.3622 | − | 98.4658i | −0.0384970 | − | 0.218328i | ||||
\(452\) | 164.918 | − | 196.541i | 0.364862 | − | 0.434825i | ||||
\(453\) | 594.454 | − | 139.577i | 1.31226 | − | 0.308116i | ||||
\(454\) | 358.437 | + | 130.460i | 0.789508 | + | 0.287358i | ||||
\(455\) | 333.387 | − | 192.481i | 0.732720 | − | 0.423036i | ||||
\(456\) | 129.020 | − | 478.619i | 0.282938 | − | 1.04960i | ||||
\(457\) | −410.811 | + | 711.546i | −0.898930 | + | 1.55699i | −0.0700663 | + | 0.997542i | \(0.522321\pi\) |
−0.828864 | + | 0.559450i | \(0.811012\pi\) | |||||||
\(458\) | −390.381 | − | 465.238i | −0.852361 | − | 1.01580i | ||||
\(459\) | 310.792 | + | 56.8124i | 0.677106 | + | 0.123774i | ||||
\(460\) | −13.4883 | + | 76.4962i | −0.0293225 | + | 0.166296i | ||||
\(461\) | 155.222 | − | 426.469i | 0.336707 | − | 0.925096i | −0.649614 | − | 0.760264i | \(-0.725070\pi\) |
0.986322 | − | 0.164832i | \(-0.0527081\pi\) | |||||||
\(462\) | 392.706 | + | 46.7328i | 0.850012 | + | 0.101153i | ||||
\(463\) | −656.278 | −1.41745 | −0.708723 | − | 0.705486i | \(-0.750729\pi\) | ||||
−0.708723 | + | 0.705486i | \(0.750729\pi\) | |||||||
\(464\) | −294.691 | − | 170.140i | −0.635111 | − | 0.366681i | ||||
\(465\) | 29.0894 | − | 244.445i | 0.0625579 | − | 0.525687i | ||||
\(466\) | 193.667 | − | 70.4892i | 0.415595 | − | 0.151264i | ||||
\(467\) | −192.950 | + | 111.400i | −0.413170 | + | 0.238544i | −0.692151 | − | 0.721753i | \(-0.743337\pi\) |
0.278981 | + | 0.960297i | \(0.410003\pi\) | |||||||
\(468\) | −46.5767 | + | 106.748i | −0.0995229 | + | 0.228094i | ||||
\(469\) | 582.923 | − | 212.167i | 1.24291 | − | 0.452381i | ||||
\(470\) | 39.5592 | − | 108.688i | 0.0841686 | − | 0.231251i | ||||
\(471\) | −548.260 | − | 65.2441i | −1.16403 | − | 0.138523i | ||||
\(472\) | −82.1761 | − | 466.044i | −0.174102 | − | 0.987381i | ||||
\(473\) | 217.682 | − | 598.076i | 0.460216 | − | 1.26443i | ||||
\(474\) | −465.794 | + | 26.1528i | −0.982688 | + | 0.0551746i | ||||
\(475\) | 184.022 | + | 26.8460i | 0.387415 | + | 0.0565179i | ||||
\(476\) | 121.158i | 0.254534i | ||||||||
\(477\) | −111.302 | + | 461.023i | −0.233337 | + | 0.966505i | ||||
\(478\) | −162.678 | − | 59.2101i | −0.340331 | − | 0.123870i | ||||
\(479\) | 106.133 | − | 126.484i | 0.221571 | − | 0.264058i | −0.643795 | − | 0.765198i | \(-0.722641\pi\) |
0.865367 | + | 0.501139i | \(0.167086\pi\) | |||||||
\(480\) | −144.048 | − | 153.322i | −0.300100 | − | 0.319422i | ||||
\(481\) | −248.508 | − | 208.523i | −0.516648 | − | 0.433519i | ||||
\(482\) | 331.374i | 0.687499i | ||||||||
\(483\) | −454.984 | + | 25.5458i | −0.941996 | + | 0.0528899i | ||||
\(484\) | −47.4916 | + | 17.2855i | −0.0981232 | + | 0.0357139i | ||||
\(485\) | 301.706 | − | 359.559i | 0.622075 | − | 0.741360i | ||||
\(486\) | −294.648 | − | 283.864i | −0.606273 | − | 0.584082i | ||||
\(487\) | 100.794 | − | 174.580i | 0.206969 | − | 0.358481i | −0.743789 | − | 0.668414i | \(-0.766973\pi\) |
0.950758 | + | 0.309933i | \(0.100307\pi\) | |||||||
\(488\) | 659.161 | + | 116.228i | 1.35074 | + | 0.238172i | ||||
\(489\) | −141.916 | + | 470.451i | −0.290216 | + | 0.962067i | ||||
\(490\) | −184.955 | + | 67.3181i | −0.377459 | + | 0.137384i | ||||
\(491\) | −553.118 | + | 97.5296i | −1.12651 | + | 0.198635i | −0.705699 | − | 0.708512i | \(-0.749367\pi\) |
−0.420815 | + | 0.907147i | \(0.638256\pi\) | |||||||
\(492\) | −37.9770 | − | 11.4561i | −0.0771889 | − | 0.0232847i | ||||
\(493\) | −199.450 | + | 345.457i | −0.404563 | + | 0.700724i | ||||
\(494\) | −168.448 | + | 312.842i | −0.340989 | + | 0.633284i | ||||
\(495\) | 183.643 | + | 248.839i | 0.370995 | + | 0.502706i | ||||
\(496\) | 160.875 | − | 134.990i | 0.324345 | − | 0.272158i | ||||
\(497\) | 305.773 | + | 364.406i | 0.615237 | + | 0.733211i | ||||
\(498\) | −487.960 | − | 58.0682i | −0.979838 | − | 0.116603i | ||||
\(499\) | 13.8640 | − | 11.6332i | 0.0277835 | − | 0.0233131i | −0.628790 | − | 0.777575i | \(-0.716450\pi\) |
0.656574 | + | 0.754262i | \(0.272005\pi\) | |||||||
\(500\) | 101.616 | − | 121.101i | 0.203232 | − | 0.242203i | ||||
\(501\) | 42.5778 | − | 84.3394i | 0.0849856 | − | 0.168342i | ||||
\(502\) | 171.128 | 0.340892 | ||||||||
\(503\) | −328.648 | + | 391.667i | −0.653375 | + | 0.778662i | −0.986419 | − | 0.164250i | \(-0.947480\pi\) |
0.333044 | + | 0.942911i | \(0.391924\pi\) | |||||||
\(504\) | 384.636 | − | 579.520i | 0.763166 | − | 1.14984i | ||||
\(505\) | 73.3641 | + | 127.070i | 0.145276 | + | 0.251625i | ||||
\(506\) | 219.591 | − | 126.781i | 0.433974 | − | 0.250555i | ||||
\(507\) | −81.9926 | + | 109.656i | −0.161721 | + | 0.216284i | ||||
\(508\) | −98.3057 | + | 82.4883i | −0.193515 | + | 0.162379i | ||||
\(509\) | −100.940 | − | 277.330i | −0.198310 | − | 0.544854i | 0.800181 | − | 0.599758i | \(-0.204737\pi\) |
−0.998492 | + | 0.0549049i | \(0.982514\pi\) | |||||||
\(510\) | 168.011 | − | 157.848i | 0.329434 | − | 0.309506i | ||||
\(511\) | 154.998 | + | 879.038i | 0.303323 | + | 1.72023i | ||||
\(512\) | − | 526.707i | − | 1.02872i | ||||||
\(513\) | 338.855 | + | 385.158i | 0.660536 | + | 0.750794i | ||||
\(514\) | −569.767 | −1.10850 | ||||||||
\(515\) | 234.280 | − | 41.3098i | 0.454912 | − | 0.0802133i | ||||
\(516\) | −172.895 | − | 184.027i | −0.335068 | − | 0.356641i | ||||
\(517\) | 145.820 | − | 53.0740i | 0.282050 | − | 0.102658i | ||||
\(518\) | 280.912 | + | 334.778i | 0.542301 | + | 0.646290i | ||||
\(519\) | −788.545 | − | 589.616i | −1.51936 | − | 1.13606i | ||||
\(520\) | 188.365 | + | 326.257i | 0.362240 | + | 0.627417i | ||||
\(521\) | −288.325 | + | 166.465i | −0.553408 | + | 0.319510i | −0.750495 | − | 0.660876i | \(-0.770185\pi\) |
0.197088 | + | 0.980386i | \(0.436852\pi\) | |||||||
\(522\) | 462.589 | − | 229.905i | 0.886186 | − | 0.440431i | ||||
\(523\) | 636.254 | + | 533.881i | 1.21655 | + | 1.02080i | 0.998998 | + | 0.0447552i | \(0.0142508\pi\) |
0.217549 | + | 0.976049i | \(0.430194\pi\) | |||||||
\(524\) | 245.909i | 0.469293i | ||||||||
\(525\) | 232.943 | + | 117.599i | 0.443701 | + | 0.223998i | ||||
\(526\) | 90.9575 | + | 76.3224i | 0.172923 | + | 0.145100i | ||||
\(527\) | −158.245 | − | 188.589i | −0.300274 | − | 0.357853i | ||||
\(528\) | −31.1770 | + | 261.987i | −0.0590474 | + | 0.496188i | ||||
\(529\) | 181.419 | − | 152.229i | 0.342947 | − | 0.287767i | ||||
\(530\) | 222.439 | + | 265.092i | 0.419696 | + | 0.500174i | ||||
\(531\) | 448.877 | + | 195.856i | 0.845343 | + | 0.368844i | ||||
\(532\) | −121.927 | + | 154.386i | −0.229186 | + | 0.290200i | ||||
\(533\) | 109.158 | + | 63.0224i | 0.204799 | + | 0.118241i | ||||
\(534\) | −127.828 | + | 423.750i | −0.239378 | + | 0.793539i | ||||
\(535\) | −51.0923 | − | 289.759i | −0.0954997 | − | 0.541606i | ||||
\(536\) | 207.629 | + | 570.456i | 0.387367 | + | 1.06428i | ||||
\(537\) | 664.095 | + | 200.330i | 1.23668 | + | 0.373054i | ||||
\(538\) | 2.15567 | − | 12.2254i | 0.00400683 | − | 0.0227238i | ||||
\(539\) | −228.689 | − | 132.034i | −0.424284 | − | 0.244960i | ||||
\(540\) | 120.963 | − | 20.5480i | 0.224006 | − | 0.0380518i | ||||
\(541\) | 0.444884 | + | 0.373302i | 0.000822337 | + | 0.000690023i | 0.643199 | − | 0.765699i | \(-0.277607\pi\) |
−0.642376 | + | 0.766389i | \(0.722051\pi\) | |||||||
\(542\) | −69.9300 | − | 192.131i | −0.129022 | − | 0.354486i | ||||
\(543\) | 26.7092 | + | 475.704i | 0.0491882 | + | 0.876066i | ||||
\(544\) | −210.388 | −0.386743 | ||||||||
\(545\) | 173.709 | − | 207.018i | 0.318731 | − | 0.379849i | ||||
\(546\) | −363.349 | + | 341.370i | −0.665475 | + | 0.625220i | ||||
\(547\) | −271.047 | − | 227.435i | −0.495515 | − | 0.415786i | 0.360483 | − | 0.932766i | \(-0.382612\pi\) |
−0.855998 | + | 0.516979i | \(0.827056\pi\) | |||||||
\(548\) | 99.3828 | − | 273.052i | 0.181355 | − | 0.498270i | ||||
\(549\) | −477.450 | + | 501.849i | −0.869673 | + | 0.914114i | ||||
\(550\) | −145.195 | −0.263991 | ||||||||
\(551\) | −601.799 | + | 239.485i | −1.09219 | + | 0.434636i | ||||
\(552\) | −24.9995 | − | 445.253i | −0.0452889 | − | 0.806617i | ||||
\(553\) | 771.280 | + | 280.723i | 1.39472 | + | 0.507637i | ||||
\(554\) | −15.9857 | + | 2.81872i | −0.0288551 | + | 0.00508793i | ||||
\(555\) | −40.3846 | + | 339.360i | −0.0727651 | + | 0.611460i | ||||
\(556\) | 32.0533 | + | 11.6665i | 0.0576499 | + | 0.0209828i | ||||
\(557\) | 86.3619 | + | 237.277i | 0.155048 | + | 0.425992i | 0.992759 | − | 0.120122i | \(-0.0383287\pi\) |
−0.837711 | + | 0.546114i | \(0.816107\pi\) | |||||||
\(558\) | 35.6874 | + | 316.803i | 0.0639558 | + | 0.567747i | ||||
\(559\) | 401.173 | + | 694.853i | 0.717663 | + | 1.24303i | ||||
\(560\) | −118.331 | − | 325.113i | −0.211306 | − | 0.580559i | ||||
\(561\) | 307.119 | + | 36.5478i | 0.547449 | + | 0.0651476i | ||||
\(562\) | 306.473 | − | 530.827i | 0.545326 | − | 0.944532i | ||||
\(563\) | 131.686i | 0.233900i | 0.993138 | + | 0.116950i | \(0.0373117\pi\) | ||||
−0.993138 | + | 0.116950i | \(0.962688\pi\) | |||||||
\(564\) | 7.27495 | − | 61.1329i | 0.0128988 | − | 0.108392i | ||||
\(565\) | 807.062 | + | 293.747i | 1.42843 | + | 0.519906i | ||||
\(566\) | 516.646 | + | 91.0987i | 0.912803 | + | 0.160952i | ||||
\(567\) | 279.570 | + | 663.308i | 0.493069 | + | 1.16986i | ||||
\(568\) | −356.612 | + | 299.233i | −0.627839 | + | 0.526819i | ||||
\(569\) | −792.594 | − | 457.604i | −1.39296 | − | 0.804226i | −0.399318 | − | 0.916813i | \(-0.630753\pi\) |
−0.993642 | + | 0.112587i | \(0.964086\pi\) | |||||||
\(570\) | 372.939 | − | 32.0611i | 0.654278 | − | 0.0562475i | ||||
\(571\) | 154.941 | + | 268.367i | 0.271351 | + | 0.469994i | 0.969208 | − | 0.246243i | \(-0.0791962\pi\) |
−0.697857 | + | 0.716237i | \(0.745863\pi\) | |||||||
\(572\) | −38.9948 | + | 107.137i | −0.0681727 | + | 0.187303i | ||||
\(573\) | 12.0475 | + | 51.3101i | 0.0210253 | + | 0.0895464i | ||||
\(574\) | −130.076 | − | 109.147i | −0.226613 | − | 0.190151i | ||||
\(575\) | 164.764 | − | 29.0523i | 0.286546 | − | 0.0505258i | ||||
\(576\) | 526.407 | + | 349.384i | 0.913901 | + | 0.606569i | ||||
\(577\) | 281.744 | − | 487.996i | 0.488292 | − | 0.845746i | −0.511617 | − | 0.859213i | \(-0.670953\pi\) |
0.999909 | + | 0.0134669i | \(0.00428679\pi\) | |||||||
\(578\) | 256.048i | 0.442990i | ||||||||
\(579\) | −80.6584 | + | 107.872i | −0.139306 | + | 0.186307i | ||||
\(580\) | −26.9003 | + | 152.559i | −0.0463799 | + | 0.263033i | ||||
\(581\) | 748.716 | + | 432.271i | 1.28867 | + | 0.744012i | ||||
\(582\) | −273.946 | + | 542.641i | −0.470698 | + | 0.932372i | ||||
\(583\) | −80.6208 | + | 457.223i | −0.138286 | + | 0.784260i | ||||
\(584\) | −860.238 | + | 151.683i | −1.47301 | + | 0.259731i | ||||
\(585\) | −389.116 | − | 24.2958i | −0.665155 | − | 0.0415312i | ||||
\(586\) | −300.334 | − | 109.313i | −0.512515 | − | 0.186540i | ||||
\(587\) | −517.323 | + | 91.2180i | −0.881300 | + | 0.155397i | −0.595945 | − | 0.803025i | \(-0.703223\pi\) |
−0.285355 | + | 0.958422i | \(0.592111\pi\) | |||||||
\(588\) | −87.6493 | + | 57.3858i | −0.149063 | + | 0.0975949i | ||||
\(589\) | −11.8585 | − | 399.559i | −0.0201332 | − | 0.678368i | ||||
\(590\) | 309.471 | − | 178.673i | 0.524527 | − | 0.302836i | ||||
\(591\) | 14.0998 | + | 60.0506i | 0.0238575 | + | 0.101608i | ||||
\(592\) | −223.342 | + | 187.406i | −0.377266 | + | 0.316564i | ||||
\(593\) | −788.249 | − | 138.990i | −1.32926 | − | 0.234384i | −0.536488 | − | 0.843908i | \(-0.680249\pi\) |
−0.792768 | + | 0.609524i | \(0.791361\pi\) | |||||||
\(594\) | −305.197 | − | 259.369i | −0.513800 | − | 0.436648i | ||||
\(595\) | −381.119 | + | 138.716i | −0.640536 | + | 0.233136i | ||||
\(596\) | −39.8760 | + | 23.0224i | −0.0669060 | + | 0.0386282i | ||||
\(597\) | 61.5720 | + | 1096.63i | 0.103136 | + | 1.83690i | ||||
\(598\) | −55.5067 | + | 314.794i | −0.0928205 | + | 0.526411i | ||||
\(599\) | 185.502 | + | 32.7091i | 0.309687 | + | 0.0546061i | 0.326332 | − | 0.945255i | \(-0.394187\pi\) |
−0.0166450 | + | 0.999861i | \(0.505298\pi\) | |||||||
\(600\) | −115.084 | + | 227.961i | −0.191806 | + | 0.379935i | ||||
\(601\) | 89.3510 | + | 154.760i | 0.148671 | + | 0.257505i | 0.930736 | − | 0.365691i | \(-0.119167\pi\) |
−0.782066 | + | 0.623196i | \(0.785834\pi\) | |||||||
\(602\) | −369.684 | − | 1015.70i | −0.614094 | − | 1.68721i | ||||
\(603\) | −610.702 | − | 147.438i | −1.01277 | − | 0.244507i | ||||
\(604\) | 41.1806 | − | 233.547i | 0.0681798 | − | 0.386667i | ||||
\(605\) | −108.748 | − | 129.601i | −0.179748 | − | 0.214216i | ||||
\(606\) | −130.113 | − | 138.490i | −0.214708 | − | 0.228532i | ||||
\(607\) | 132.775 | + | 229.973i | 0.218739 | + | 0.378867i | 0.954423 | − | 0.298458i | \(-0.0964723\pi\) |
−0.735684 | + | 0.677325i | \(0.763139\pi\) | |||||||
\(608\) | −268.088 | − | 211.723i | −0.440934 | − | 0.348229i | ||||
\(609\) | −907.392 | + | 50.9470i | −1.48997 | + | 0.0836569i | ||||
\(610\) | 87.7656 | + | 497.743i | 0.143878 | + | 0.815973i | ||||
\(611\) | −66.9073 | + | 183.826i | −0.109505 | + | 0.300861i | ||||
\(612\) | 67.8548 | − | 102.235i | 0.110874 | − | 0.167050i | ||||
\(613\) | 45.3010 | + | 256.915i | 0.0739006 | + | 0.419111i | 0.999204 | + | 0.0398841i | \(0.0126989\pi\) |
−0.925304 | + | 0.379227i | \(0.876190\pi\) | |||||||
\(614\) | 215.264 | + | 37.9568i | 0.350592 | + | 0.0618189i | ||||
\(615\) | −7.44380 | − | 132.578i | −0.0121037 | − | 0.215574i | ||||
\(616\) | 340.448 | − | 589.673i | 0.552675 | − | 0.957261i | ||||
\(617\) | −345.175 | − | 60.8637i | −0.559441 | − | 0.0986446i | −0.113224 | − | 0.993569i | \(-0.536118\pi\) |
−0.446217 | + | 0.894925i | \(0.647229\pi\) | |||||||
\(618\) | −283.147 | + | 121.437i | −0.458167 | + | 0.196499i | ||||
\(619\) | 336.076 | 0.542934 | 0.271467 | − | 0.962448i | \(-0.412491\pi\) | ||||
0.271467 | + | 0.962448i | \(0.412491\pi\) | |||||||
\(620\) | −82.7972 | − | 47.8030i | −0.133544 | − | 0.0771016i | ||||
\(621\) | 398.228 | + | 233.258i | 0.641269 | + | 0.375617i | ||||
\(622\) | −160.350 | − | 909.390i | −0.257797 | − | 1.46204i | ||||
\(623\) | 500.539 | − | 596.519i | 0.803433 | − | 0.957494i | ||||
\(624\) | −227.739 | − | 242.402i | −0.364967 | − | 0.388465i | ||||
\(625\) | 267.342 | + | 97.3045i | 0.427747 | + | 0.155687i | ||||
\(626\) | 587.436 | − | 339.156i | 0.938396 | − | 0.541783i | ||||
\(627\) | 354.568 | + | 355.639i | 0.565499 | + | 0.567207i | ||||
\(628\) | −107.216 | + | 185.704i | −0.170727 | + | 0.295707i | ||||
\(629\) | 219.690 | + | 261.816i | 0.349268 | + | 0.416241i | ||||
\(630\) | 510.552 | + | 123.259i | 0.810400 | + | 0.195649i | ||||
\(631\) | −81.7227 | + | 463.472i | −0.129513 | + | 0.734504i | 0.849012 | + | 0.528374i | \(0.177198\pi\) |
−0.978525 | + | 0.206130i | \(0.933913\pi\) | |||||||
\(632\) | −274.719 | + | 754.784i | −0.434682 | + | 1.19428i | ||||
\(633\) | 71.0968 | + | 165.773i | 0.112317 | + | 0.261884i | ||||
\(634\) | −418.065 | −0.659409 | ||||||||
\(635\) | −372.029 | − | 214.791i | −0.585873 | − | 0.338254i | ||||
\(636\) | 147.516 | + | 110.302i | 0.231943 | + | 0.173430i | ||||
\(637\) | 312.818 | − | 113.856i | 0.491080 | − | 0.178738i | ||||
\(638\) | 437.938 | − | 252.844i | 0.686424 | − | 0.396307i | ||||
\(639\) | −53.9292 | − | 478.739i | −0.0843962 | − | 0.749200i | ||||
\(640\) | 169.614 | − | 61.7343i | 0.265021 | − | 0.0964598i | ||||
\(641\) | 281.160 | − | 772.481i | 0.438627 | − | 1.20512i | −0.501758 | − | 0.865008i | \(-0.667313\pi\) |
0.940386 | − | 0.340110i | \(-0.110464\pi\) | |||||||
\(642\) | 150.194 | + | 350.199i | 0.233947 | + | 0.545481i | ||||
\(643\) | −24.8454 | − | 140.905i | −0.0386398 | − | 0.219137i | 0.959374 | − | 0.282139i | \(-0.0910439\pi\) |
−0.998013 | + | 0.0630014i | \(0.979933\pi\) | |||||||
\(644\) | −60.5316 | + | 166.309i | −0.0939932 | + | 0.258244i | ||||
\(645\) | 380.930 | − | 754.559i | 0.590590 | − | 1.16986i | ||||
\(646\) | 232.007 | − | 293.771i | 0.359144 | − | 0.454755i | ||||
\(647\) | − | 459.167i | − | 0.709686i | −0.934926 | − | 0.354843i | \(-0.884534\pi\) | ||
0.934926 | − | 0.354843i | \(-0.115466\pi\) | |||||||
\(648\) | −649.121 | + | 273.591i | −1.00173 | + | 0.422208i | ||||
\(649\) | 450.515 | + | 163.974i | 0.694168 | + | 0.252656i | ||||
\(650\) | 117.655 | − | 140.216i | 0.181008 | − | 0.215717i | ||||
\(651\) | 161.987 | − | 536.988i | 0.248828 | − | 0.824866i | ||||
\(652\) | 146.195 | + | 122.672i | 0.224225 | + | 0.188147i | ||||
\(653\) | − | 269.552i | − | 0.412789i | −0.978469 | − | 0.206395i | \(-0.933827\pi\) | ||
0.978469 | − | 0.206395i | \(-0.0661731\pi\) | |||||||
\(654\) | −157.726 | + | 312.428i | −0.241171 | + | 0.477718i | ||||
\(655\) | −773.540 | + | 281.546i | −1.18098 | + | 0.429840i | ||||
\(656\) | 72.8153 | − | 86.7779i | 0.110999 | − | 0.132283i | ||||
\(657\) | 361.517 | − | 828.551i | 0.550254 | − | 1.26111i | ||||
\(658\) | 131.768 | − | 228.228i | 0.200255 | − | 0.346851i | ||||
\(659\) | 762.737 | + | 134.491i | 1.15742 | + | 0.204084i | 0.719211 | − | 0.694791i | \(-0.244503\pi\) |
0.438205 | + | 0.898875i | \(0.355614\pi\) | |||||||
\(660\) | 116.931 | − | 27.4553i | 0.177169 | − | 0.0415989i | ||||
\(661\) | 324.931 | − | 118.265i | 0.491575 | − | 0.178919i | −0.0843258 | − | 0.996438i | \(-0.526874\pi\) |
0.575901 | + | 0.817520i | \(0.304651\pi\) | |||||||
\(662\) | −477.834 | + | 84.2551i | −0.721804 | + | 0.127274i | ||||
\(663\) | −284.160 | + | 266.971i | −0.428598 | + | 0.402671i | ||||
\(664\) | −423.026 | + | 732.702i | −0.637087 | + | 1.10347i | ||||
\(665\) | −625.239 | − | 206.778i | −0.940209 | − | 0.310945i | ||||
\(666\) | −49.5445 | − | 439.815i | −0.0743911 | − | 0.660383i | ||||
\(667\) | −446.370 | + | 374.549i | −0.669220 | + | 0.561543i | ||||
\(668\) | −23.5856 | − | 28.1082i | −0.0353078 | − | 0.0420782i | ||||
\(669\) | −177.600 | − | 414.101i | −0.265471 | − | 0.618985i | ||||
\(670\) | −351.159 | + | 294.657i | −0.524118 | + | 0.439787i | ||||
\(671\) | −435.869 | + | 519.448i | −0.649581 | + | 0.774140i | ||||
\(672\) | −262.560 | − | 401.026i | −0.390714 | − | 0.596764i | ||||
\(673\) | 529.553 | 0.786854 | 0.393427 | − | 0.919356i | \(-0.371289\pi\) | ||||
0.393427 | + | 0.919356i | \(0.371289\pi\) | |||||||
\(674\) | −398.487 | + | 474.898i | −0.591227 | + | 0.704597i | ||||
\(675\) | −130.699 | − | 229.691i | −0.193628 | − | 0.340284i | ||||
\(676\) | 26.5882 | + | 46.0522i | 0.0393317 | + | 0.0681246i | ||||
\(677\) | −750.705 | + | 433.420i | −1.10887 | + | 0.640206i | −0.938536 | − | 0.345180i | \(-0.887818\pi\) |
−0.170333 | + | 0.985386i | \(0.554484\pi\) | |||||||
\(678\) | −1104.49 | − | 131.437i | −1.62904 | − | 0.193859i | ||||
\(679\) | 819.244 | − | 687.427i | 1.20655 | − | 1.01241i | ||||
\(680\) | −135.749 | − | 372.968i | −0.199631 | − | 0.548482i | ||||
\(681\) | 155.354 | + | 661.650i | 0.228127 | + | 0.971586i | ||||
\(682\) | 54.1939 | + | 307.349i | 0.0794633 | + | 0.450658i | ||||
\(683\) | − | 346.858i | − | 0.507844i | −0.967225 | − | 0.253922i | \(-0.918279\pi\) | ||
0.967225 | − | 0.253922i | \(-0.0817207\pi\) | |||||||
\(684\) | 189.348 | − | 61.9878i | 0.276825 | − | 0.0906255i | ||||
\(685\) | 972.706 | 1.42001 | ||||||||
\(686\) | 280.378 | − | 49.4382i | 0.408714 | − | 0.0720673i | ||||
\(687\) | 312.522 | − | 1036.01i | 0.454908 | − | 1.50802i | ||||
\(688\) | 677.607 | − | 246.629i | 0.984894 | − | 0.358472i | ||||
\(689\) | −376.215 | − | 448.355i | −0.546030 | − | 0.650733i | ||||
\(690\) | 309.485 | − | 132.732i | 0.448528 | − | 0.192365i | ||||
\(691\) | 134.024 | + | 232.137i | 0.193957 | + | 0.335943i | 0.946558 | − | 0.322533i | \(-0.104534\pi\) |
−0.752601 | + | 0.658477i | \(0.771201\pi\) | |||||||
\(692\) | −331.165 | + | 191.198i | −0.478563 | + | 0.276298i | ||||
\(693\) | 313.613 | + | 631.017i | 0.452544 | + | 0.910558i | ||||
\(694\) | −672.359 | − | 564.176i | −0.968817 | − | 0.812934i | ||||
\(695\) | 114.185i | 0.164295i | ||||||||
\(696\) | −49.8574 | − | 887.985i | −0.0716342 | − | 1.27584i | ||||
\(697\) | −101.727 | − | 85.3589i | −0.145950 | − | 0.122466i | ||||
\(698\) | −451.461 | − | 538.031i | −0.646793 | − | 0.770817i | ||||
\(699\) | 294.096 | + | 219.903i | 0.420738 | + | 0.314597i | ||||
\(700\) | 77.6343 | − | 65.1429i | 0.110906 | − | 0.0930613i | ||||
\(701\) | −490.594 | − | 584.668i | −0.699849 | − | 0.834048i | 0.292660 | − | 0.956217i | \(-0.405460\pi\) |
−0.992509 | + | 0.122169i | \(0.961015\pi\) | |||||||
\(702\) | 497.783 | − | 84.5582i | 0.709093 | − | 0.120453i | ||||
\(703\) | 16.4630 | + | 554.704i | 0.0234182 | + | 0.789053i | ||||
\(704\) | 535.629 | + | 309.246i | 0.760837 | + | 0.439270i | ||||
\(705\) | 200.631 | − | 47.1077i | 0.284583 | − | 0.0668195i | ||||
\(706\) | 99.3861 | + | 563.647i | 0.140774 | + | 0.798366i | ||||
\(707\) | 114.343 | + | 314.154i | 0.161729 | + | 0.444348i | ||||
\(708\) | 138.622 | − | 130.237i | 0.195794 | − | 0.183951i | ||||
\(709\) | 163.271 | − | 925.956i | 0.230284 | − | 1.30600i | −0.622039 | − | 0.782987i | \(-0.713695\pi\) |
0.852322 | − | 0.523017i | \(-0.175194\pi\) | |||||||
\(710\) | −304.429 | − | 175.762i | −0.428774 | − | 0.247553i | ||||
\(711\) | −493.597 | − | 668.834i | −0.694229 | − | 0.940695i | ||||
\(712\) | 583.761 | + | 489.833i | 0.819889 | + | 0.687968i | ||||
\(713\) | −122.996 | − | 337.929i | −0.172505 | − | 0.473953i | ||||
\(714\) | 439.445 | − | 287.713i | 0.615469 | − | 0.402960i | ||||
\(715\) | −381.660 | −0.533791 | ||||||||
\(716\) | 173.165 | − | 206.370i | 0.241851 | − | 0.288227i | ||||
\(717\) | −70.5082 | − | 300.293i | −0.0983379 | − | 0.418819i | ||||
\(718\) | −126.174 | − | 105.872i | −0.175729 | − | 0.147454i | ||||
\(719\) | −231.075 | + | 634.874i | −0.321384 | + | 0.882996i | 0.668827 | + | 0.743418i | \(0.266797\pi\) |
−0.990211 | + | 0.139578i | \(0.955426\pi\) | |||||||
\(720\) | −82.2303 | + | 340.606i | −0.114209 | + | 0.473064i | ||||
\(721\) | 542.033 | 0.751780 | ||||||||
\(722\) | 591.272 | − | 140.860i | 0.818936 | − | 0.195097i | ||||
\(723\) | −493.979 | + | 323.418i | −0.683236 | + | 0.447328i | ||||
\(724\) | 173.883 | + | 63.2882i | 0.240170 | + | 0.0874147i | ||||
\(725\) | 328.595 | − | 57.9402i | 0.453235 | − | 0.0799175i | ||||
\(726\) | 175.473 | + | 131.206i | 0.241699 | + | 0.180724i | ||||
\(727\) | −443.517 | − | 161.427i | −0.610064 | − | 0.222045i | 0.0184671 | − | 0.999829i | \(-0.494121\pi\) |
−0.628531 | + | 0.777784i | \(0.716344\pi\) | |||||||
\(728\) | 293.578 | + | 806.599i | 0.403267 | + | 1.10797i | ||||
\(729\) | 135.582 | − | 716.281i | 0.185983 | − | 0.982553i | ||||
\(730\) | −329.800 | − | 571.230i | −0.451781 | − | 0.782507i | ||||
\(731\) | −289.115 | − | 794.336i | −0.395506 | − | 1.08664i | ||||
\(732\) | 106.037 | + | 247.242i | 0.144860 | + | 0.337762i | ||||
\(733\) | −541.175 | + | 937.343i | −0.738302 | + | 1.27878i | 0.214958 | + | 0.976623i | \(0.431039\pi\) |
−0.953259 | + | 0.302153i | \(0.902295\pi\) | |||||||
\(734\) | 965.063i | 1.31480i | ||||||||
\(735\) | −280.866 | − | 210.010i | −0.382130 | − | 0.285728i | ||||
\(736\) | −288.792 | − | 105.112i | −0.392380 | − | 0.142815i | ||||
\(737\) | −605.669 | − | 106.796i | −0.821803 | − | 0.144906i | ||||
\(738\) | 48.6320 | + | 164.948i | 0.0658970 | + | 0.223507i | ||||
\(739\) | −632.310 | + | 530.571i | −0.855629 | + | 0.717958i | −0.961022 | − | 0.276472i | \(-0.910835\pi\) |
0.105392 | + | 0.994431i | \(0.466390\pi\) | |||||||
\(740\) | 114.947 | + | 66.3645i | 0.155333 | + | 0.0896818i | ||||
\(741\) | −630.758 | + | 54.2255i | −0.851225 | + | 0.0731788i | ||||
\(742\) | 394.235 | + | 682.836i | 0.531314 | + | 0.920264i | ||||
\(743\) | 422.258 | − | 1160.14i | 0.568314 | − | 1.56143i | −0.238821 | − | 0.971064i | \(-0.576761\pi\) |
0.807135 | − | 0.590367i | \(-0.201017\pi\) | |||||||
\(744\) | 525.503 | + | 158.523i | 0.706321 | + | 0.213068i | ||||
\(745\) | −118.075 | − | 99.0764i | −0.158489 | − | 0.132988i | ||||
\(746\) | 968.422 | − | 170.759i | 1.29815 | − | 0.228899i | ||||
\(747\) | −389.682 | − | 784.075i | −0.521663 | − | 1.04963i | ||||
\(748\) | 60.0594 | − | 104.026i | 0.0802934 | − | 0.139072i | ||||
\(749\) | − | 670.391i | − | 0.895048i | ||||||
\(750\) | −680.546 | − | 80.9864i | −0.907395 | − | 0.107982i | ||||
\(751\) | −109.928 | + | 623.432i | −0.146375 | + | 0.830136i | 0.819877 | + | 0.572540i | \(0.194042\pi\) |
−0.966253 | + | 0.257597i | \(0.917069\pi\) | |||||||
\(752\) | 152.259 | + | 87.9066i | 0.202472 | + | 0.116897i | ||||
\(753\) | 167.019 | + | 255.100i | 0.221805 | + | 0.338779i | ||||
\(754\) | −110.699 | + | 627.806i | −0.146816 | + | 0.832634i | ||||
\(755\) | 781.800 | − | 137.852i | 1.03550 | − | 0.182586i | ||||
\(756\) | 279.554 | + | 1.75272i | 0.369780 | + | 0.00231841i | ||||
\(757\) | −879.887 | − | 320.253i | −1.16233 | − | 0.423055i | −0.312403 | − | 0.949950i | \(-0.601134\pi\) |
−0.849931 | + | 0.526895i | \(0.823356\pi\) | |||||||
\(758\) | 300.565 | − | 52.9977i | 0.396524 | − | 0.0699178i | ||||
\(759\) | 403.311 | + | 203.607i | 0.531371 | + | 0.268257i | ||||
\(760\) | 202.356 | − | 611.867i | 0.266258 | − | 0.805088i | ||||
\(761\) | −466.242 | + | 269.185i | −0.612671 | + | 0.353726i | −0.774010 | − | 0.633173i | \(-0.781752\pi\) |
0.161339 | + | 0.986899i | \(0.448419\pi\) | |||||||
\(762\) | 532.633 | + | 160.674i | 0.698994 | + | 0.210858i | ||||
\(763\) | 471.683 | − | 395.789i | 0.618196 | − | 0.518728i | ||||
\(764\) | 20.1585 | + | 3.55449i | 0.0263855 | + | 0.00465247i | ||||
\(765\) | 399.281 | + | 96.3958i | 0.521936 | + | 0.126008i | ||||
\(766\) | 895.616 | − | 325.978i | 1.16921 | − | 0.425558i | ||||
\(767\) | −523.414 | + | 302.193i | −0.682417 | + | 0.393994i | ||||
\(768\) | 509.212 | − | 333.391i | 0.663036 | − | 0.434103i | ||||
\(769\) | 106.996 | − | 606.804i | 0.139136 | − | 0.789082i | −0.832753 | − | 0.553644i | \(-0.813237\pi\) |
0.971890 | − | 0.235437i | \(-0.0756522\pi\) | |||||||
\(770\) | 506.344 | + | 89.2821i | 0.657589 | + | 0.115951i | ||||
\(771\) | −556.087 | − | 849.351i | −0.721255 | − | 1.10162i | ||||
\(772\) | 26.1556 | + | 45.3028i | 0.0338803 | + | 0.0586824i | ||||
\(773\) | −323.783 | − | 889.587i | −0.418865 | − | 1.15082i | −0.952348 | − | 0.305013i | \(-0.901339\pi\) |
0.533483 | − | 0.845811i | \(-0.320883\pi\) | |||||||
\(774\) | −256.899 | + | 1064.10i | −0.331911 | + | 1.37481i | ||||
\(775\) | −35.7584 | + | 202.796i | −0.0461399 | + | 0.261672i | ||||
\(776\) | 672.725 | + | 801.722i | 0.866913 | + | 1.03315i | ||||
\(777\) | −224.886 | + | 745.496i | −0.289428 | + | 0.959454i | ||||
\(778\) | −95.3215 | − | 165.102i | −0.122521 | − | 0.212213i | ||||
\(779\) | −43.7252 | − | 211.141i | −0.0561299 | − | 0.271042i | ||||
\(780\) | −68.2386 | + | 135.169i | −0.0874853 | + | 0.173294i | ||||
\(781\) | −81.8955 | − | 464.453i | −0.104860 | − | 0.594690i | ||||
\(782\) | 115.182 | − | 316.459i | 0.147291 | − | 0.404679i | ||||
\(783\) | 794.202 | + | 465.196i | 1.01431 | + | 0.594120i | ||||
\(784\) | −51.9524 | − | 294.637i | −0.0662659 | − | 0.375812i | ||||
\(785\) | −706.911 | − | 124.647i | −0.900524 | − | 0.158787i | ||||
\(786\) | 891.921 | − | 583.959i | 1.13476 | − | 0.742950i | ||||
\(787\) | −121.449 | + | 210.355i | −0.154319 | + | 0.267288i | −0.932811 | − | 0.360367i | \(-0.882652\pi\) |
0.778492 | + | 0.627654i | \(0.215985\pi\) | |||||||
\(788\) | 23.5925 | + | 4.15999i | 0.0299397 | + | 0.00527917i | ||||
\(789\) | −25.0000 | + | 210.080i | −0.0316857 | + | 0.266262i | ||||
\(790\) | −606.528 | −0.767757 | ||||||||
\(791\) | 1694.71 | + | 978.439i | 2.14249 | + | 1.23697i | ||||
\(792\) | −617.521 | + | 306.905i | −0.779698 | + | 0.387507i | ||||
\(793\) | −148.440 | − | 841.843i | −0.187187 | − | 1.06159i | ||||
\(794\) | −576.460 | + | 686.998i | −0.726020 | + | 0.865237i | ||||
\(795\) | −178.074 | + | 590.317i | −0.223993 | + | 0.742537i | ||||
\(796\) | 400.848 | + | 145.897i | 0.503578 | + | 0.183287i | ||||
\(797\) | 252.148 | − | 145.578i | 0.316372 | − | 0.182657i | −0.333403 | − | 0.942785i | \(-0.608197\pi\) |
0.649774 | + | 0.760127i | \(0.274863\pi\) | |||||||
\(798\) | 849.504 | + | 75.6134i | 1.06454 | + | 0.0947537i | ||||
\(799\) | 103.050 | − | 178.488i | 0.128974 | − | 0.223389i | ||||
\(800\) | 113.119 | + | 134.810i | 0.141399 | + | 0.168512i | ||||
\(801\) | −756.442 | + | 223.023i | −0.944372 | + | 0.278431i | ||||
\(802\) | 186.498 | − | 1057.68i | 0.232541 | − | 1.31881i | ||||
\(803\) | 302.668 | − | 831.573i | 0.376921 | − | 1.03558i | ||||
\(804\) | −146.113 | + | 195.410i | −0.181732 | + | 0.243047i | ||||
\(805\) | −592.451 | −0.735964 | ||||||||
\(806\) | −340.724 | − | 196.717i | −0.422734 | − | 0.244066i | ||||
\(807\) | 20.3284 | − | 8.71845i | 0.0251900 | − | 0.0108035i | ||||
\(808\) | −307.435 | + | 111.897i | −0.380489 | + | 0.138487i | ||||
\(809\) | 533.645 | − | 308.100i | 0.659635 | − | 0.380841i | −0.132503 | − | 0.991183i | \(-0.542301\pi\) |
0.792138 | + | 0.610342i | \(0.208968\pi\) | |||||||
\(810\) | −361.779 | − | 389.943i | −0.446640 | − | 0.481411i | ||||
\(811\) | −1294.74 | + | 471.245i | −1.59647 | + | 0.581067i | −0.978700 | − | 0.205294i | \(-0.934185\pi\) |
−0.617768 | + | 0.786361i | \(0.711963\pi\) | |||||||
\(812\) | −120.721 | + | 331.677i | −0.148671 | + | 0.408470i | ||||
\(813\) | 218.159 | − | 291.763i | 0.268338 | − | 0.358872i | ||||
\(814\) | −75.2370 | − | 426.690i | −0.0924287 | − | 0.524189i | ||||
\(815\) | −218.500 | + | 600.323i | −0.268098 | + | 0.736593i | ||||
\(816\) | 191.943 | + | 293.168i | 0.235225 | + | 0.359275i | ||||
\(817\) | 430.972 | − | 1303.14i | 0.527505 | − | 1.59503i | ||||
\(818\) | − | 815.870i | − | 0.997396i | ||||||
\(819\) | −863.506 | − | 208.470i | −1.05434 | − | 0.254543i | ||||
\(820\) | −48.4609 | − | 17.6383i | −0.0590986 | − | 0.0215101i | ||||
\(821\) | −95.9485 | + | 114.347i | −0.116868 | + | 0.139278i | −0.821306 | − | 0.570487i | \(-0.806754\pi\) |
0.704439 | + | 0.709765i | \(0.251199\pi\) | |||||||
\(822\) | −1226.37 | + | 287.950i | −1.49194 | + | 0.350304i | ||||
\(823\) | −954.678 | − | 801.070i | −1.16000 | − | 0.973354i | −0.160092 | − | 0.987102i | \(-0.551179\pi\) |
−0.999905 | + | 0.0137483i | \(0.995624\pi\) | |||||||
\(824\) | 530.440i | 0.643738i | ||||||||
\(825\) | −141.709 | − | 216.442i | −0.171769 | − | 0.262354i | ||||
\(826\) | 765.099 | − | 278.473i | 0.926270 | − | 0.337135i | ||||
\(827\) | −543.091 | + | 647.230i | −0.656700 | + | 0.782624i | −0.986908 | − | 0.161284i | \(-0.948437\pi\) |
0.330208 | + | 0.943908i | \(0.392881\pi\) | |||||||
\(828\) | 144.219 | − | 106.433i | 0.174178 | − | 0.128542i | ||||
\(829\) | −374.108 | + | 647.975i | −0.451277 | + | 0.781634i | −0.998466 | − | 0.0553750i | \(-0.982365\pi\) |
0.547189 | + | 0.837009i | \(0.315698\pi\) | |||||||
\(830\) | −629.161 | − | 110.938i | −0.758026 | − | 0.133660i | ||||
\(831\) | −19.8038 | − | 21.0789i | −0.0238313 | − | 0.0253657i | ||||
\(832\) | −732.674 | + | 266.672i | −0.880618 | + | 0.320519i | ||||
\(833\) | −345.393 | + | 60.9021i | −0.414637 | + | 0.0731118i | ||||
\(834\) | −33.8022 | − | 143.963i | −0.0405302 | − | 0.172617i | ||||
\(835\) | 61.4146 | − | 106.373i | 0.0735504 | − | 0.127393i | ||||
\(836\) | 181.217 | − | 72.1150i | 0.216767 | − | 0.0862620i | ||||
\(837\) | −437.427 | + | 362.396i | −0.522613 | + | 0.432970i | ||||
\(838\) | −534.211 | + | 448.257i | −0.637484 | + | 0.534912i | ||||
\(839\) | 54.4192 | + | 64.8542i | 0.0648619 | + | 0.0772994i | 0.797500 | − | 0.603319i | \(-0.206156\pi\) |
−0.732638 | + | 0.680619i | \(0.761711\pi\) | |||||||
\(840\) | 541.511 | − | 724.210i | 0.644655 | − | 0.862155i | ||||
\(841\) | −245.970 | + | 206.393i | −0.292473 | + | 0.245414i | ||||
\(842\) | −346.676 | + | 413.152i | −0.411729 | + | 0.490680i | ||||
\(843\) | 1090.42 | − | 61.2234i | 1.29350 | − | 0.0726256i | ||||
\(844\) | 70.0534 | 0.0830016 | ||||||||
\(845\) | −114.422 | + | 136.363i | −0.135411 | + | 0.161376i | ||||
\(846\) | −239.007 | + | 118.785i | −0.282514 | + | 0.140408i | ||||
\(847\) | −192.737 | − | 333.831i | −0.227553 | − | 0.394133i | ||||
\(848\) | −455.542 | + | 263.008i | −0.537196 | + | 0.310150i | ||||
\(849\) | 368.442 | + | 859.076i | 0.433971 | + | 1.01187i | ||||
\(850\) | −147.725 | + | 123.956i | −0.173794 | + | 0.145830i | ||||
\(851\) | 170.754 | + | 469.143i | 0.200651 | + | 0.551285i | ||||
\(852\) | −179.133 | − | 54.0372i | −0.210250 | − | 0.0634239i | ||||
\(853\) | −103.346 | − | 586.102i | −0.121156 | − | 0.687107i | −0.983517 | − | 0.180814i | \(-0.942127\pi\) |
0.862362 | − | 0.506293i | \(-0.168984\pi\) | |||||||
\(854\) | 1151.59i | 1.34846i | ||||||||
\(855\) | 411.778 | + | 524.648i | 0.481612 | + | 0.613623i | ||||
\(856\) | 656.053 | 0.766417 | ||||||||
\(857\) | 184.897 | − | 32.6023i | 0.215749 | − | 0.0380424i | −0.0647287 | − | 0.997903i | \(-0.520618\pi\) |
0.280478 | + | 0.959861i | \(0.409507\pi\) | |||||||
\(858\) | 481.191 | − | 112.983i | 0.560829 | − | 0.131682i | ||||
\(859\) | 678.693 | − | 247.024i | 0.790096 | − | 0.287571i | 0.0847201 | − | 0.996405i | \(-0.473000\pi\) |
0.705376 | + | 0.708833i | \(0.250778\pi\) | |||||||
\(860\) | −211.013 | − | 251.476i | −0.245364 | − | 0.292414i | ||||
\(861\) | 35.7518 | − | 300.430i | 0.0415236 | − | 0.348931i | ||||
\(862\) | −264.940 | − | 458.889i | −0.307355 | − | 0.532354i | ||||
\(863\) | 325.785 | − | 188.092i | 0.377503 | − | 0.217952i | −0.299228 | − | 0.954182i | \(-0.596729\pi\) |
0.676731 | + | 0.736230i | \(0.263396\pi\) | |||||||
\(864\) | −3.04355 | + | 485.437i | −0.00352263 | + | 0.561849i | ||||
\(865\) | −980.596 | − | 822.818i | −1.13364 | − | 0.951234i | ||||
\(866\) | 1305.96i | 1.50804i | ||||||||
\(867\) | −381.691 | + | 249.901i | −0.440243 | + | 0.288236i | ||||
\(868\) | −166.871 | − | 140.022i | −0.192248 | − | 0.161315i | ||||
\(869\) | −523.061 | − | 623.360i | −0.601911 | − | 0.717330i | ||||
\(870\) | 617.217 | − | 264.713i | 0.709445 | − | 0.304268i | ||||
\(871\) | 593.922 | − | 498.360i | 0.681885 | − | 0.572169i | ||||
\(872\) | 387.324 | + | 461.595i | 0.444179 | + | 0.529352i | ||||
\(873\) | −1076.28 | + | 121.242i | −1.23286 | + | 0.138879i | ||||
\(874\) | 465.238 | − | 287.336i | 0.532308 | − | 0.328760i | ||||
\(875\) | 1044.22 | + | 602.879i | 1.19339 | + | 0.689004i | ||||
\(876\) | −240.395 | − | 255.873i | −0.274424 | − | 0.292093i | ||||
\(877\) | 159.456 | + | 904.317i | 0.181819 | + | 1.03115i | 0.929974 | + | 0.367624i | \(0.119829\pi\) |
−0.748155 | + | 0.663524i | \(0.769060\pi\) | |||||||
\(878\) | 385.197 | + | 1058.32i | 0.438721 | + | 1.20538i | ||||
\(879\) | −130.171 | − | 554.395i | −0.148090 | − | 0.630711i | ||||
\(880\) | −59.5631 | + | 337.799i | −0.0676853 | + | 0.383862i | ||||
\(881\) | 1390.01 | + | 802.521i | 1.57776 | + | 0.910921i | 0.995171 | + | 0.0981544i | \(0.0312939\pi\) |
0.582590 | + | 0.812766i | \(0.302039\pi\) | |||||||
\(882\) | 416.280 | + | 181.633i | 0.471973 | + | 0.205933i | ||||
\(883\) | 604.305 | + | 507.072i | 0.684377 | + | 0.574261i | 0.917282 | − | 0.398239i | \(-0.130379\pi\) |
−0.232904 | + | 0.972500i | \(0.574823\pi\) | |||||||
\(884\) | 51.7910 | + | 142.295i | 0.0585871 | + | 0.160967i | ||||
\(885\) | 568.389 | + | 286.945i | 0.642247 | + | 0.324231i | ||||
\(886\) | −747.199 | −0.843339 | ||||||||
\(887\) | 166.026 | − | 197.862i | 0.187177 | − | 0.223069i | −0.664293 | − | 0.747473i | \(-0.731267\pi\) |
0.851470 | + | 0.524403i | \(0.175712\pi\) | |||||||
\(888\) | −729.551 | − | 220.076i | −0.821567 | − | 0.247833i | ||||
\(889\) | −749.796 | − | 629.154i | −0.843415 | − | 0.707710i | ||||
\(890\) | −196.810 | + | 540.730i | −0.221134 | + | 0.607562i | ||||
\(891\) | 88.7712 | − | 708.099i | 0.0996310 | − | 0.794724i | ||||
\(892\) | −174.994 | −0.196181 | ||||||||
\(893\) | 310.932 | − | 123.735i | 0.348189 | − | 0.138561i | ||||
\(894\) | 178.196 | + | 89.9603i | 0.199325 | + | 0.100627i | ||||
\(895\) | 847.425 | + | 308.437i | 0.946844 | + | 0.344623i | ||||
\(896\) | 405.013 | − | 71.4147i | 0.452023 | − | 0.0797039i | ||||
\(897\) | −523.437 | + | 224.492i | −0.583542 | + | 0.250270i | ||||
\(898\) | 336.066 | + | 122.318i | 0.374238 | + | 0.136212i | ||||
\(899\) | −245.296 | − | 673.944i | −0.272854 | − | 0.749660i | ||||
\(900\) | −101.992 | + | 11.4893i | −0.113325 | + | 0.0127658i | ||||
\(901\) | 308.315 | + | 534.017i | 0.342192 | + | 0.592694i | ||||
\(902\) | 57.5774 | + | 158.193i | 0.0638331 | + | 0.175380i | ||||
\(903\) | 1153.29 | − | 1542.40i | 1.27718 | − | 1.70809i | ||||
\(904\) | −957.513 | + | 1658.46i | −1.05920 | + | 1.83458i | ||||
\(905\) | 619.431i | 0.684455i | ||||||||
\(906\) | −944.873 | + | 405.238i | −1.04291 | + | 0.447283i | ||||
\(907\) | 1486.62 | + | 541.084i | 1.63905 | + | 0.596564i | 0.986872 | − | 0.161505i | \(-0.0516347\pi\) |
0.652175 | + | 0.758069i | \(0.273857\pi\) | |||||||
\(908\) | 259.947 | + | 45.8356i | 0.286285 | + | 0.0504797i | ||||
\(909\) | 79.4584 | − | 329.125i | 0.0874129 | − | 0.362073i | ||||
\(910\) | −496.523 | + | 416.632i | −0.545630 | + | 0.457838i | ||||
\(911\) | −550.059 | − | 317.577i | −0.603797 | − | 0.348603i | 0.166737 | − | 0.986001i | \(-0.446677\pi\) |
−0.770534 | + | 0.637399i | \(0.780010\pi\) | |||||||
\(912\) | −50.4442 | + | 566.732i | −0.0553117 | + | 0.621417i | ||||
\(913\) | −428.563 | − | 742.293i | −0.469401 | − | 0.813026i | ||||
\(914\) | 473.141 | − | 1299.94i | 0.517660 | − | 1.42226i | ||||
\(915\) | −656.327 | + | 616.625i | −0.717298 | + | 0.673907i | ||||
\(916\) | −321.945 | − | 270.144i | −0.351468 | − | 0.294917i | ||||
\(917\) | −1847.10 | + | 325.694i | −2.01429 | + | 0.355173i | ||||
\(918\) | −531.943 | − | 3.33513i | −0.579459 | − | 0.00363304i | ||||
\(919\) | 362.301 | − | 627.525i | 0.394234 | − | 0.682834i | −0.598769 | − | 0.800922i | \(-0.704343\pi\) |
0.993003 | + | 0.118088i | \(0.0376764\pi\) | |||||||
\(920\) | − | 579.780i | − | 0.630196i | ||||||
\(921\) | 153.513 | + | 357.939i | 0.166681 | + | 0.388641i | ||||
\(922\) | −132.690 | + | 752.524i | −0.143916 | + | 0.816186i | ||||
\(923\) | 514.887 | + | 297.270i | 0.557841 | + | 0.322070i | ||||
\(924\) | 273.239 | − | 15.3415i | 0.295713 | − | 0.0166033i | ||||
\(925\) | 49.6431 | − | 281.540i | 0.0536682 | − | 0.304367i | ||||
\(926\) | 1088.19 | − | 191.878i | 1.17516 | − | 0.207212i | ||||
\(927\) | −457.375 | − | 303.566i | −0.493392 | − | 0.327472i | ||||
\(928\) | −575.949 | − | 209.628i | −0.620634 | − | 0.225892i | ||||
\(929\) | −333.732 | + | 58.8459i | −0.359237 | + | 0.0633433i | −0.350354 | − | 0.936617i | \(-0.613939\pi\) |
−0.00888327 | + | 0.999961i | \(0.502828\pi\) | |||||||
\(930\) | 23.2349 | + | 413.826i | 0.0249838 | + | 0.444974i | ||||
\(931\) | −501.407 | − | 269.980i | −0.538568 | − | 0.289989i | ||||
\(932\) | 123.511 | − | 71.3094i | 0.132523 | − | 0.0765122i | ||||
\(933\) | 1199.13 | − | 1126.59i | 1.28524 | − | 1.20749i | ||||
\(934\) | 287.366 | − | 241.129i | 0.307673 | − | 0.258168i | ||||
\(935\) | 395.990 | + | 69.8238i | 0.423519 | + | 0.0746779i | ||||
\(936\) | 204.012 | − | 845.037i | 0.217961 | − | 0.902818i | ||||
\(937\) | −285.912 | + | 104.064i | −0.305136 | + | 0.111060i | −0.490050 | − | 0.871694i | \(-0.663022\pi\) |
0.184914 | + | 0.982755i | \(0.440799\pi\) | |||||||
\(938\) | −904.530 | + | 522.231i | −0.964318 | + | 0.556749i | ||||
\(939\) | 1078.91 | + | 544.677i | 1.14900 | + | 0.580060i | ||||
\(940\) | 13.8986 | − | 78.8231i | 0.0147858 | − | 0.0838543i | ||||
\(941\) | 531.012 | + | 93.6318i | 0.564306 | + | 0.0995024i | 0.448522 | − | 0.893772i | \(-0.351951\pi\) |
0.115785 | + | 0.993274i | \(0.463062\pi\) | |||||||
\(942\) | 928.161 | − | 52.1131i | 0.985309 | − | 0.0553218i | ||||
\(943\) | −96.9905 | − | 167.993i | −0.102853 | − | 0.178147i | ||||
\(944\) | 185.779 | + | 510.423i | 0.196800 | + | 0.540702i | ||||
\(945\) | 314.552 | + | 881.379i | 0.332859 | + | 0.932676i | ||||
\(946\) | −186.084 | + | 1055.33i | −0.196706 | + | 1.11557i | ||||
\(947\) | −399.906 | − | 476.589i | −0.422287 | − | 0.503262i | 0.512394 | − | 0.858751i | \(-0.328759\pi\) |
−0.934681 | + | 0.355489i | \(0.884314\pi\) | |||||||
\(948\) | −314.290 | + | 73.7946i | −0.331529 | + | 0.0778425i | ||||
\(949\) | 557.797 | + | 966.132i | 0.587773 | + | 1.01805i | ||||
\(950\) | −312.982 | + | 9.28896i | −0.329454 | + | 0.00977785i | ||||
\(951\) | −408.028 | − | 623.209i | −0.429052 | − | 0.655320i | ||||
\(952\) | −157.036 | − | 890.594i | −0.164953 | − | 0.935498i | ||||
\(953\) | −203.055 | + | 557.889i | −0.213069 | + | 0.585403i | −0.999478 | − | 0.0323034i | \(-0.989716\pi\) |
0.786409 | + | 0.617706i | \(0.211938\pi\) | |||||||
\(954\) | 49.7619 | − | 796.977i | 0.0521614 | − | 0.835406i | ||||
\(955\) | 11.8987 | + | 67.4808i | 0.0124594 | + | 0.0706606i | ||||
\(956\) | −117.978 | − | 20.8027i | −0.123408 | − | 0.0217601i | ||||
\(957\) | 804.338 | + | 406.061i | 0.840479 | + | 0.424306i | ||||
\(958\) | −139.001 | + | 240.757i | −0.145095 | + | 0.251312i | ||||
\(959\) | 2182.61 | + | 384.853i | 2.27592 | + | 0.401306i | ||||
\(960\) | 657.837 | + | 491.881i | 0.685246 | + | 0.512376i | ||||
\(961\) | −518.375 | −0.539412 | ||||||||
\(962\) | 473.024 | + | 273.101i | 0.491709 | + | 0.283888i | ||||
\(963\) | −375.453 | + | 565.685i | −0.389879 | + | 0.587419i | ||||
\(964\) | 39.8194 | + | 225.827i | 0.0413064 | + | 0.234260i | ||||
\(965\) | −112.560 | + | 134.144i | −0.116643 | + | 0.139009i | ||||
\(966\) | 746.953 | − | 175.383i | 0.773243 | − | 0.181556i | ||||
\(967\) | −917.489 | − | 333.939i | −0.948799 | − | 0.345335i | −0.179165 | − | 0.983819i | \(-0.557339\pi\) |
−0.769635 | + | 0.638484i | \(0.779562\pi\) | |||||||
\(968\) | 326.691 | − | 188.615i | 0.337491 | − | 0.194850i | ||||
\(969\) | 664.362 | + | 59.1341i | 0.685616 | + | 0.0610259i | ||||
\(970\) | −395.142 | + | 684.407i | −0.407363 | + | 0.705574i | ||||
\(971\) | 1141.78 | + | 1360.72i | 1.17588 | + | 1.40135i | 0.897575 | + | 0.440861i | \(0.145327\pi\) |
0.278301 | + | 0.960494i | \(0.410229\pi\) | |||||||
\(972\) | −234.909 | − | 158.043i | −0.241676 | − | 0.162596i | ||||
\(973\) | −45.1775 | + | 256.214i | −0.0464312 | + | 0.263324i | ||||
\(974\) | −116.087 | + | 318.946i | −0.119186 | + | 0.327460i | ||||
\(975\) | 323.850 | + | 38.5389i | 0.332154 | + | 0.0395271i | ||||
\(976\) | −768.262 | −0.787154 | ||||||||
\(977\) | −911.292 | − | 526.135i | −0.932745 | − | 0.538521i | −0.0450665 | − | 0.998984i | \(-0.514350\pi\) |
−0.887679 | + | 0.460463i | \(0.847683\pi\) | |||||||
\(978\) | 97.7675 | − | 821.561i | 0.0999668 | − | 0.840041i | ||||
\(979\) | −725.462 | + | 264.046i | −0.741023 | + | 0.269710i | ||||
\(980\) | −117.955 | + | 68.1014i | −0.120362 | + | 0.0694912i | ||||
\(981\) | −619.675 | + | 69.8054i | −0.631677 | + | 0.0711574i | ||||
\(982\) | 888.626 | − | 323.434i | 0.904915 | − | 0.329362i | ||||
\(983\) | −102.862 | + | 282.612i | −0.104641 | + | 0.287500i | −0.980953 | − | 0.194245i | \(-0.937774\pi\) |
0.876312 | + | 0.481744i | \(0.159997\pi\) | |||||||
\(984\) | 294.004 | + | 34.9872i | 0.298785 | + | 0.0355561i | ||||
\(985\) | 13.9256 | + | 78.9760i | 0.0141377 | + | 0.0801787i | ||||
\(986\) | 229.711 | − | 631.126i | 0.232973 | − | 0.640087i | ||||
\(987\) | 468.824 | − | 26.3229i | 0.474999 | − | 0.0266696i | ||||
\(988\) | −77.2028 | + | 233.439i | −0.0781405 | + | 0.236275i | ||||
\(989\) | − | 1234.80i | − | 1.24853i | ||||||
\(990\) | −377.257 | − | 358.916i | −0.381068 | − | 0.362541i | ||||
\(991\) | −325.800 | − | 118.581i | −0.328759 | − | 0.119658i | 0.172367 | − | 0.985033i | \(-0.444858\pi\) |
−0.501126 | + | 0.865374i | \(0.667081\pi\) | |||||||
\(992\) | 243.144 | − | 289.768i | 0.245105 | − | 0.292105i | ||||
\(993\) | −591.961 | − | 630.075i | −0.596134 | − | 0.634517i | ||||
\(994\) | −613.554 | − | 514.833i | −0.617257 | − | 0.517940i | ||||
\(995\) | 1427.96i | 1.43514i | ||||||||
\(996\) | −339.515 | + | 19.0627i | −0.340879 | + | 0.0191392i | ||||
\(997\) | 37.0147 | − | 13.4723i | 0.0371261 | − | 0.0135128i | −0.323390 | − | 0.946266i | \(-0.604823\pi\) |
0.360516 | + | 0.932753i | \(0.382600\pi\) | |||||||
\(998\) | −19.5870 | + | 23.3429i | −0.0196262 | + | 0.0233896i | ||||
\(999\) | 607.277 | − | 503.112i | 0.607885 | − | 0.503615i |
(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 | 171.3.z.a.101.13 | ✓ | 228 | |
9.5 | odd | 6 | 171.3.bf.a.158.13 | yes | 228 | ||
19.16 | even | 9 | 171.3.bf.a.92.13 | yes | 228 | ||
171.149 | odd | 18 | inner | 171.3.z.a.149.13 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
171.3.z.a.101.13 | ✓ | 228 | 1.1 | even | 1 | trivial | |
171.3.z.a.149.13 | yes | 228 | 171.149 | odd | 18 | inner | |
171.3.bf.a.92.13 | yes | 228 | 19.16 | even | 9 | ||
171.3.bf.a.158.13 | yes | 228 | 9.5 | odd | 6 |