Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,3,Mod(3,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([33, 32]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.k (of order \(44\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.26704608029\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 223.12 | ||
Character | \(\chi\) | \(=\) | 230.223 |
Dual form | 230.3.k.a.197.12 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{4}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.100889 | + | 1.41061i | 0.0504444 | + | 0.705305i | ||||
\(3\) | 5.40148 | + | 1.17502i | 1.80049 | + | 0.391673i | 0.982902 | − | 0.184128i | \(-0.0589460\pi\) |
0.817590 | + | 0.575801i | \(0.195310\pi\) | |||||||
\(4\) | −1.97964 | + | 0.284630i | −0.494911 | + | 0.0711574i | ||||
\(5\) | 0.547749 | − | 4.96991i | 0.109550 | − | 0.993981i | ||||
\(6\) | −1.11255 | + | 7.73793i | −0.185424 | + | 1.28965i | ||||
\(7\) | 1.85546 | − | 3.39802i | 0.265065 | − | 0.485431i | −0.710918 | − | 0.703275i | \(-0.751720\pi\) |
0.975984 | + | 0.217844i | \(0.0699023\pi\) | |||||||
\(8\) | −0.601225 | − | 2.76379i | −0.0751532 | − | 0.345474i | ||||
\(9\) | 19.6086 | + | 8.95494i | 2.17873 | + | 0.994994i | ||||
\(10\) | 7.06586 | + | 0.271252i | 0.706586 | + | 0.0271252i | ||||
\(11\) | −7.45467 | − | 8.60315i | −0.677698 | − | 0.782105i | 0.307862 | − | 0.951431i | \(-0.400386\pi\) |
−0.985560 | + | 0.169326i | \(0.945841\pi\) | |||||||
\(12\) | −11.0274 | − | 0.788698i | −0.918953 | − | 0.0657248i | ||||
\(13\) | 10.0919 | + | 18.4819i | 0.776300 | + | 1.42169i | 0.902952 | + | 0.429741i | \(0.141395\pi\) |
−0.126652 | + | 0.991947i | \(0.540423\pi\) | |||||||
\(14\) | 4.98047 | + | 2.27451i | 0.355748 | + | 0.162465i | ||||
\(15\) | 8.79839 | − | 26.2012i | 0.586559 | − | 1.74675i | ||||
\(16\) | 3.83797 | − | 1.12693i | 0.239873 | − | 0.0704331i | ||||
\(17\) | 13.4331 | + | 17.9446i | 0.790184 | + | 1.05556i | 0.997017 | + | 0.0771863i | \(0.0245936\pi\) |
−0.206832 | + | 0.978376i | \(0.566315\pi\) | |||||||
\(18\) | −10.6536 | + | 28.5635i | −0.591869 | + | 1.58686i | ||||
\(19\) | −1.91303 | + | 0.275052i | −0.100686 | + | 0.0144764i | −0.192474 | − | 0.981302i | \(-0.561651\pi\) |
0.0917877 | + | 0.995779i | \(0.470742\pi\) | |||||||
\(20\) | 0.330236 | + | 9.99455i | 0.0165118 | + | 0.499727i | ||||
\(21\) | 14.0149 | − | 16.1741i | 0.667378 | − | 0.770196i | ||||
\(22\) | 11.3836 | − | 11.3836i | 0.517436 | − | 0.517436i | ||||
\(23\) | −15.7711 | − | 16.7414i | −0.685699 | − | 0.727885i | ||||
\(24\) | − | 15.6350i | − | 0.651458i | ||||||
\(25\) | −24.3999 | − | 5.44452i | −0.975998 | − | 0.217781i | ||||
\(26\) | −25.0527 | + | 16.1004i | −0.963564 | + | 0.619245i | ||||
\(27\) | 55.5660 | + | 41.5962i | 2.05800 | + | 1.54060i | ||||
\(28\) | −2.70597 | + | 7.25498i | −0.0966417 | + | 0.259106i | ||||
\(29\) | −49.1214 | − | 7.06259i | −1.69384 | − | 0.243538i | −0.773260 | − | 0.634089i | \(-0.781375\pi\) |
−0.920581 | + | 0.390551i | \(0.872285\pi\) | |||||||
\(30\) | 37.8474 | + | 9.76769i | 1.26158 | + | 0.325590i | ||||
\(31\) | −25.6884 | − | 16.5089i | −0.828657 | − | 0.532546i | 0.0561937 | − | 0.998420i | \(-0.482104\pi\) |
−0.884851 | + | 0.465874i | \(0.845740\pi\) | |||||||
\(32\) | 1.97687 | + | 5.30019i | 0.0617771 | + | 0.165631i | ||||
\(33\) | −30.1574 | − | 55.2291i | −0.913860 | − | 1.67361i | ||||
\(34\) | −23.9575 | + | 20.7593i | −0.704633 | + | 0.610568i | ||||
\(35\) | −15.8715 | − | 11.0827i | −0.453471 | − | 0.316649i | ||||
\(36\) | −41.3669 | − | 12.1464i | −1.14908 | − | 0.337400i | ||||
\(37\) | 3.11683 | + | 8.35656i | 0.0842388 | + | 0.225853i | 0.972239 | − | 0.233990i | \(-0.0751784\pi\) |
−0.888000 | + | 0.459843i | \(0.847906\pi\) | |||||||
\(38\) | −0.580995 | − | 2.67079i | −0.0152893 | − | 0.0702840i | ||||
\(39\) | 32.7945 | + | 111.688i | 0.840886 | + | 2.86379i | ||||
\(40\) | −14.0651 | + | 1.47417i | −0.351627 | + | 0.0368543i | ||||
\(41\) | −5.29030 | − | 11.5841i | −0.129032 | − | 0.282540i | 0.834079 | − | 0.551645i | \(-0.186000\pi\) |
−0.963111 | + | 0.269105i | \(0.913272\pi\) | |||||||
\(42\) | 24.2293 | + | 18.1378i | 0.576888 | + | 0.431853i | ||||
\(43\) | 26.2918 | + | 5.71943i | 0.611437 | + | 0.133010i | 0.507612 | − | 0.861586i | \(-0.330528\pi\) |
0.103825 | + | 0.994596i | \(0.466892\pi\) | |||||||
\(44\) | 17.2063 | + | 14.9093i | 0.391052 | + | 0.338849i | ||||
\(45\) | 55.2458 | − | 92.5478i | 1.22768 | − | 2.05662i | ||||
\(46\) | 22.0244 | − | 23.9359i | 0.478792 | − | 0.520345i | ||||
\(47\) | −9.97197 | + | 9.97197i | −0.212170 | + | 0.212170i | −0.805189 | − | 0.593019i | \(-0.797936\pi\) |
0.593019 | + | 0.805189i | \(0.297936\pi\) | |||||||
\(48\) | 22.0549 | − | 1.57740i | 0.459477 | − | 0.0328624i | ||||
\(49\) | 18.3876 | + | 28.6117i | 0.375257 | + | 0.583912i | ||||
\(50\) | 5.21842 | − | 34.9681i | 0.104368 | − | 0.699362i | ||||
\(51\) | 51.4735 | + | 112.711i | 1.00929 | + | 2.21003i | ||||
\(52\) | −25.2389 | − | 33.7152i | −0.485363 | − | 0.648369i | ||||
\(53\) | 14.8104 | + | 8.08707i | 0.279441 | + | 0.152586i | 0.612858 | − | 0.790193i | \(-0.290020\pi\) |
−0.333417 | + | 0.942779i | \(0.608202\pi\) | |||||||
\(54\) | −53.0700 | + | 82.5786i | −0.982778 | + | 1.52923i | ||||
\(55\) | −46.8401 | + | 32.3367i | −0.851639 | + | 0.587939i | ||||
\(56\) | −10.5069 | − | 3.08512i | −0.187624 | − | 0.0550914i | ||||
\(57\) | −10.6564 | − | 0.762160i | −0.186954 | − | 0.0133712i | ||||
\(58\) | 5.00676 | − | 70.0037i | 0.0863235 | − | 1.20696i | ||||
\(59\) | −4.19169 | + | 14.2756i | −0.0710455 | + | 0.241959i | −0.987358 | − | 0.158505i | \(-0.949333\pi\) |
0.916313 | + | 0.400464i | \(0.131151\pi\) | |||||||
\(60\) | −9.96002 | + | 54.3733i | −0.166000 | + | 0.906222i | ||||
\(61\) | −88.7808 | − | 57.0559i | −1.45542 | − | 0.935343i | −0.998960 | − | 0.0456010i | \(-0.985480\pi\) |
−0.456463 | − | 0.889742i | \(-0.650884\pi\) | |||||||
\(62\) | 20.6960 | − | 37.9019i | 0.333806 | − | 0.611320i | ||||
\(63\) | 66.8120 | − | 50.0148i | 1.06051 | − | 0.793886i | ||||
\(64\) | −7.27706 | + | 3.32332i | −0.113704 | + | 0.0519269i | ||||
\(65\) | 97.3814 | − | 40.0324i | 1.49817 | − | 0.615883i | ||||
\(66\) | 74.8642 | − | 48.1123i | 1.13431 | − | 0.728974i | ||||
\(67\) | −2.89461 | − | 40.4719i | −0.0432031 | − | 0.604058i | −0.972227 | − | 0.234039i | \(-0.924806\pi\) |
0.929024 | − | 0.370019i | \(-0.120649\pi\) | |||||||
\(68\) | −31.7004 | − | 31.7004i | −0.466182 | − | 0.466182i | ||||
\(69\) | −65.5157 | − | 108.959i | −0.949502 | − | 1.57912i | ||||
\(70\) | 14.0321 | − | 23.5066i | 0.200459 | − | 0.335809i | ||||
\(71\) | 45.1082 | − | 52.0577i | 0.635327 | − | 0.733207i | −0.343214 | − | 0.939257i | \(-0.611516\pi\) |
0.978541 | + | 0.206050i | \(0.0660611\pi\) | |||||||
\(72\) | 12.9604 | − | 59.5779i | 0.180005 | − | 0.827472i | ||||
\(73\) | −82.9590 | + | 110.820i | −1.13643 | + | 1.51809i | −0.313812 | + | 0.949485i | \(0.601606\pi\) |
−0.822613 | + | 0.568601i | \(0.807485\pi\) | |||||||
\(74\) | −11.4734 | + | 5.23972i | −0.155046 | + | 0.0708071i | ||||
\(75\) | −125.398 | − | 58.0789i | −1.67198 | − | 0.774385i | ||||
\(76\) | 3.70883 | − | 1.08901i | 0.0488004 | − | 0.0143291i | ||||
\(77\) | −43.0655 | + | 9.36832i | −0.559292 | + | 0.121667i | ||||
\(78\) | −154.240 | + | 57.5284i | −1.97743 | + | 0.737544i | ||||
\(79\) | −16.2677 | + | 55.4028i | −0.205921 | + | 0.701301i | 0.790164 | + | 0.612895i | \(0.209995\pi\) |
−0.996085 | + | 0.0884055i | \(0.971823\pi\) | |||||||
\(80\) | −3.49849 | − | 19.6916i | −0.0437312 | − | 0.246145i | ||||
\(81\) | 124.213 | + | 143.349i | 1.53349 | + | 1.76974i | ||||
\(82\) | 15.8070 | − | 8.63126i | 0.192768 | − | 0.105259i | ||||
\(83\) | 89.3656 | − | 33.3317i | 1.07669 | − | 0.401586i | 0.252327 | − | 0.967642i | \(-0.418804\pi\) |
0.824367 | + | 0.566056i | \(0.191531\pi\) | |||||||
\(84\) | −23.1410 | + | 36.0080i | −0.275488 | + | 0.428667i | ||||
\(85\) | 96.5408 | − | 56.9323i | 1.13577 | − | 0.669792i | ||||
\(86\) | −5.41534 | + | 37.6645i | −0.0629690 | + | 0.437959i | ||||
\(87\) | −257.029 | − | 95.8670i | −2.95436 | − | 1.10192i | ||||
\(88\) | −19.2954 | + | 25.7756i | −0.219265 | + | 0.292904i | ||||
\(89\) | 7.04625 | + | 10.9642i | 0.0791714 | + | 0.123193i | 0.878581 | − | 0.477593i | \(-0.158491\pi\) |
−0.799410 | + | 0.600786i | \(0.794854\pi\) | |||||||
\(90\) | 136.123 | + | 68.5933i | 1.51247 | + | 0.762148i | ||||
\(91\) | 81.5271 | 0.895902 | ||||||||
\(92\) | 35.9862 | + | 28.6530i | 0.391154 | + | 0.311446i | ||||
\(93\) | −119.357 | − | 119.357i | −1.28341 | − | 1.28341i | ||||
\(94\) | −15.0726 | − | 13.0605i | −0.160347 | − | 0.138942i | ||||
\(95\) | 0.319124 | + | 9.65824i | 0.00335920 | + | 0.101666i | ||||
\(96\) | 4.45018 | + | 30.9517i | 0.0463561 | + | 0.322414i | ||||
\(97\) | −36.5362 | − | 13.6273i | −0.376662 | − | 0.140488i | 0.154001 | − | 0.988071i | \(-0.450784\pi\) |
−0.530663 | + | 0.847583i | \(0.678057\pi\) | |||||||
\(98\) | −38.5048 | + | 28.8243i | −0.392906 | + | 0.294126i | ||||
\(99\) | −69.1349 | − | 235.452i | −0.698332 | − | 2.37830i | ||||
\(100\) | 49.8528 | + | 3.83326i | 0.498528 | + | 0.0383326i | ||||
\(101\) | 52.8800 | − | 115.791i | 0.523564 | − | 1.14645i | −0.444508 | − | 0.895775i | \(-0.646621\pi\) |
0.968072 | − | 0.250671i | \(-0.0806512\pi\) | |||||||
\(102\) | −153.799 | + | 83.9804i | −1.50783 | + | 0.823338i | ||||
\(103\) | 4.09873 | − | 57.3077i | 0.0397935 | − | 0.556385i | −0.937976 | − | 0.346701i | \(-0.887302\pi\) |
0.977769 | − | 0.209684i | \(-0.0672436\pi\) | |||||||
\(104\) | 45.0127 | − | 39.0037i | 0.432814 | − | 0.375036i | ||||
\(105\) | −72.7071 | − | 78.5123i | −0.692449 | − | 0.747736i | ||||
\(106\) | −9.91350 | + | 21.7075i | −0.0935236 | + | 0.204788i | ||||
\(107\) | −91.2407 | + | 19.8482i | −0.852717 | + | 0.185497i | −0.617622 | − | 0.786475i | \(-0.711904\pi\) |
−0.235095 | + | 0.971972i | \(0.575540\pi\) | |||||||
\(108\) | −121.840 | − | 66.5299i | −1.12815 | − | 0.616017i | ||||
\(109\) | 112.796 | + | 16.2176i | 1.03483 | + | 0.148786i | 0.638736 | − | 0.769426i | \(-0.279458\pi\) |
0.396091 | + | 0.918211i | \(0.370367\pi\) | |||||||
\(110\) | −50.3401 | − | 62.8108i | −0.457637 | − | 0.571007i | ||||
\(111\) | 7.01639 | + | 48.8001i | 0.0632108 | + | 0.439640i | ||||
\(112\) | 3.29187 | − | 15.1325i | 0.0293917 | − | 0.135111i | ||||
\(113\) | −96.9191 | + | 6.93179i | −0.857691 | + | 0.0613433i | −0.493254 | − | 0.869885i | \(-0.664193\pi\) |
−0.364436 | + | 0.931228i | \(0.618738\pi\) | |||||||
\(114\) | − | 15.1089i | − | 0.132534i | ||||||
\(115\) | −91.8416 | + | 69.2107i | −0.798623 | + | 0.601832i | ||||
\(116\) | 99.2531 | 0.855630 | ||||||||
\(117\) | 32.3833 | + | 452.777i | 0.276780 | + | 3.86989i | ||||
\(118\) | −20.5602 | − | 4.47259i | −0.174239 | − | 0.0379033i | ||||
\(119\) | 85.9005 | − | 12.3506i | 0.721853 | − | 0.103787i | ||||
\(120\) | −77.7044 | − | 8.56405i | −0.647537 | − | 0.0713671i | ||||
\(121\) | −1.22197 | + | 8.49898i | −0.0100989 | + | 0.0702395i | ||||
\(122\) | 71.5267 | − | 130.991i | 0.586285 | − | 1.07370i | ||||
\(123\) | −14.9638 | − | 68.7877i | −0.121657 | − | 0.559249i | ||||
\(124\) | 55.5527 | + | 25.3701i | 0.448006 | + | 0.204597i | ||||
\(125\) | −40.4238 | + | 118.283i | −0.323390 | + | 0.946266i | ||||
\(126\) | 77.2920 | + | 89.1997i | 0.613428 | + | 0.707934i | ||||
\(127\) | 157.312 | + | 11.2512i | 1.23868 | + | 0.0885922i | 0.675261 | − | 0.737579i | \(-0.264031\pi\) |
0.563420 | + | 0.826171i | \(0.309485\pi\) | |||||||
\(128\) | −5.42208 | − | 9.92980i | −0.0423600 | − | 0.0775766i | ||||
\(129\) | 135.294 | + | 61.7867i | 1.04879 | + | 0.478967i | ||||
\(130\) | 66.2948 | + | 133.328i | 0.509960 | + | 1.02560i | ||||
\(131\) | −28.9578 | + | 8.50277i | −0.221052 | + | 0.0649067i | −0.390383 | − | 0.920653i | \(-0.627657\pi\) |
0.169331 | + | 0.985559i | \(0.445839\pi\) | |||||||
\(132\) | 75.4207 | + | 100.750i | 0.571369 | + | 0.763259i | ||||
\(133\) | −2.61491 | + | 7.01086i | −0.0196610 | + | 0.0527132i | ||||
\(134\) | 56.7981 | − | 8.16633i | 0.423866 | − | 0.0609427i | ||||
\(135\) | 237.165 | − | 253.374i | 1.75678 | − | 1.87684i | ||||
\(136\) | 41.5186 | − | 47.9151i | 0.305284 | − | 0.352317i | ||||
\(137\) | 70.2576 | − | 70.2576i | 0.512829 | − | 0.512829i | −0.402563 | − | 0.915392i | \(-0.631881\pi\) |
0.915392 | + | 0.402563i | \(0.131881\pi\) | |||||||
\(138\) | 147.089 | − | 103.410i | 1.06587 | − | 0.749347i | ||||
\(139\) | 248.673i | 1.78901i | 0.447054 | + | 0.894507i | \(0.352473\pi\) | ||||
−0.447054 | + | 0.894507i | \(0.647527\pi\) | |||||||
\(140\) | 34.5744 | + | 17.4223i | 0.246960 | + | 0.124445i | ||||
\(141\) | −65.5806 | + | 42.1461i | −0.465111 | + | 0.298909i | ||||
\(142\) | 77.9840 | + | 58.3781i | 0.549183 | + | 0.411113i | ||||
\(143\) | 83.7711 | − | 224.599i | 0.585812 | − | 1.57062i | ||||
\(144\) | 85.3488 | + | 12.2713i | 0.592700 | + | 0.0852174i | ||||
\(145\) | −62.0066 | + | 240.260i | −0.427632 | + | 1.65697i | ||||
\(146\) | −164.694 | − | 105.842i | −1.12804 | − | 0.724948i | ||||
\(147\) | 65.7010 | + | 176.151i | 0.446945 | + | 1.19831i | ||||
\(148\) | −8.54874 | − | 15.6559i | −0.0577618 | − | 0.105783i | ||||
\(149\) | 17.8556 | − | 15.4719i | 0.119836 | − | 0.103838i | −0.592881 | − | 0.805290i | \(-0.702010\pi\) |
0.712717 | + | 0.701451i | \(0.247464\pi\) | |||||||
\(150\) | 69.2753 | − | 182.748i | 0.461836 | − | 1.21832i | ||||
\(151\) | 212.102 | + | 62.2787i | 1.40465 | + | 0.412442i | 0.894277 | − | 0.447514i | \(-0.147690\pi\) |
0.510370 | + | 0.859955i | \(0.329509\pi\) | |||||||
\(152\) | 1.91035 | + | 5.12184i | 0.0125681 | + | 0.0336963i | ||||
\(153\) | 102.712 | + | 472.161i | 0.671322 | + | 3.08602i | ||||
\(154\) | −17.5599 | − | 59.8035i | −0.114025 | − | 0.388334i | ||||
\(155\) | −96.1186 | + | 118.626i | −0.620120 | + | 0.765330i | ||||
\(156\) | −96.7112 | − | 211.768i | −0.619944 | − | 1.35749i | ||||
\(157\) | −38.2617 | − | 28.6424i | −0.243705 | − | 0.182436i | 0.470442 | − | 0.882431i | \(-0.344094\pi\) |
−0.714147 | + | 0.699995i | \(0.753185\pi\) | |||||||
\(158\) | −79.7930 | − | 17.3579i | −0.505019 | − | 0.109860i | ||||
\(159\) | 70.4953 | + | 61.0846i | 0.443367 | + | 0.384180i | ||||
\(160\) | 27.4243 | − | 6.92168i | 0.171402 | − | 0.0432605i | ||||
\(161\) | −86.1500 | + | 22.5275i | −0.535093 | + | 0.139922i | ||||
\(162\) | −189.678 | + | 189.678i | −1.17085 | + | 1.17085i | ||||
\(163\) | −3.43605 | + | 0.245751i | −0.0210801 | + | 0.00150768i | −0.0818752 | − | 0.996643i | \(-0.526091\pi\) |
0.0607952 | + | 0.998150i | \(0.480636\pi\) | |||||||
\(164\) | 13.7701 | + | 21.4267i | 0.0839640 | + | 0.130651i | ||||
\(165\) | −291.002 | + | 119.628i | −1.76365 | + | 0.725016i | ||||
\(166\) | 56.0340 | + | 122.697i | 0.337554 | + | 0.739140i | ||||
\(167\) | −101.175 | − | 135.153i | −0.605836 | − | 0.809302i | 0.387823 | − | 0.921734i | \(-0.373227\pi\) |
−0.993659 | + | 0.112432i | \(0.964136\pi\) | |||||||
\(168\) | −53.1280 | − | 29.0101i | −0.316238 | − | 0.172679i | ||||
\(169\) | −148.367 | + | 230.864i | −0.877914 | + | 1.36606i | ||||
\(170\) | 90.0492 | + | 130.438i | 0.529701 | + | 0.767280i | ||||
\(171\) | −39.9749 | − | 11.7377i | −0.233771 | − | 0.0686415i | ||||
\(172\) | −53.6763 | − | 3.83900i | −0.312071 | − | 0.0223198i | ||||
\(173\) | −3.31999 | + | 46.4195i | −0.0191907 | + | 0.268321i | 0.978793 | + | 0.204851i | \(0.0656711\pi\) |
−0.997984 | + | 0.0634696i | \(0.979783\pi\) | |||||||
\(174\) | 109.300 | − | 372.240i | 0.628159 | − | 2.13931i | ||||
\(175\) | −63.7736 | + | 72.8093i | −0.364421 | + | 0.416053i | ||||
\(176\) | −38.3060 | − | 24.6178i | −0.217648 | − | 0.139874i | ||||
\(177\) | −39.4154 | + | 72.1839i | −0.222686 | + | 0.407819i | ||||
\(178\) | −14.7553 | + | 11.0457i | −0.0828949 | + | 0.0620544i | ||||
\(179\) | 68.4794 | − | 31.2735i | 0.382566 | − | 0.174712i | −0.214843 | − | 0.976649i | \(-0.568924\pi\) |
0.597409 | + | 0.801936i | \(0.296197\pi\) | |||||||
\(180\) | −83.0251 | + | 198.936i | −0.461251 | + | 1.10520i | ||||
\(181\) | −274.694 | + | 176.535i | −1.51765 | + | 0.975333i | −0.525428 | + | 0.850838i | \(0.676095\pi\) |
−0.992220 | + | 0.124495i | \(0.960269\pi\) | |||||||
\(182\) | 8.22517 | + | 115.003i | 0.0451932 | + | 0.631884i | ||||
\(183\) | −412.506 | − | 412.506i | −2.25413 | − | 2.25413i | ||||
\(184\) | −36.7876 | + | 53.6532i | −0.199933 | + | 0.291594i | ||||
\(185\) | 43.2385 | − | 10.9131i | 0.233722 | − | 0.0589896i | ||||
\(186\) | 156.324 | − | 180.408i | 0.840453 | − | 0.969934i | ||||
\(187\) | 54.2402 | − | 249.338i | 0.290055 | − | 1.33336i | ||||
\(188\) | 16.9026 | − | 22.5793i | 0.0899076 | − | 0.120102i | ||||
\(189\) | 244.445 | − | 111.634i | 1.29336 | − | 0.590657i | ||||
\(190\) | −13.5918 | + | 1.42457i | −0.0715359 | + | 0.00749773i | ||||
\(191\) | 172.910 | − | 50.7709i | 0.905288 | − | 0.265816i | 0.204232 | − | 0.978923i | \(-0.434530\pi\) |
0.701056 | + | 0.713106i | \(0.252712\pi\) | |||||||
\(192\) | −43.2118 | + | 9.40015i | −0.225062 | + | 0.0489591i | ||||
\(193\) | 2.87732 | − | 1.07318i | 0.0149084 | − | 0.00556054i | −0.341999 | − | 0.939700i | \(-0.611104\pi\) |
0.356907 | + | 0.934140i | \(0.383831\pi\) | |||||||
\(194\) | 15.5367 | − | 52.9132i | 0.0800862 | − | 0.272748i | ||||
\(195\) | 573.042 | − | 101.809i | 2.93868 | − | 0.522097i | ||||
\(196\) | −44.5446 | − | 51.4072i | −0.227268 | − | 0.262282i | ||||
\(197\) | 214.215 | − | 116.970i | 1.08739 | − | 0.593759i | 0.167473 | − | 0.985877i | \(-0.446439\pi\) |
0.919915 | + | 0.392118i | \(0.128258\pi\) | |||||||
\(198\) | 325.156 | − | 121.277i | 1.64220 | − | 0.612510i | ||||
\(199\) | −13.1690 | + | 20.4914i | −0.0661761 | + | 0.102972i | −0.872765 | − | 0.488141i | \(-0.837675\pi\) |
0.806588 | + | 0.591113i | \(0.201311\pi\) | |||||||
\(200\) | −0.377639 | + | 70.7097i | −0.00188819 | + | 0.353548i | ||||
\(201\) | 31.9201 | − | 222.009i | 0.158807 | − | 1.10452i | ||||
\(202\) | 168.671 | + | 62.9110i | 0.835005 | + | 0.311441i | ||||
\(203\) | −115.141 | + | 153.811i | −0.567199 | + | 0.757690i | ||||
\(204\) | −133.980 | − | 208.477i | −0.656766 | − | 1.02195i | ||||
\(205\) | −60.4699 | + | 19.9471i | −0.294975 | + | 0.0973029i | ||||
\(206\) | 81.2523 | 0.394429 | ||||||||
\(207\) | −159.331 | − | 469.504i | −0.769713 | − | 2.26813i | ||||
\(208\) | 59.5603 | + | 59.5603i | 0.286348 | + | 0.286348i | ||||
\(209\) | 16.6273 | + | 14.4077i | 0.0795566 | + | 0.0689362i | ||||
\(210\) | 103.415 | − | 110.482i | 0.492452 | − | 0.526107i | ||||
\(211\) | 45.6530 | + | 317.524i | 0.216365 | + | 1.50485i | 0.751301 | + | 0.659959i | \(0.229426\pi\) |
−0.534936 | + | 0.844892i | \(0.679664\pi\) | |||||||
\(212\) | −31.6210 | − | 11.7940i | −0.149156 | − | 0.0556322i | ||||
\(213\) | 304.820 | − | 228.185i | 1.43108 | − | 1.07129i | ||||
\(214\) | −37.2032 | − | 126.703i | −0.173847 | − | 0.592068i | ||||
\(215\) | 42.8263 | − | 127.535i | 0.199192 | − | 0.593186i | ||||
\(216\) | 81.5554 | − | 178.581i | 0.377571 | − | 0.826766i | ||||
\(217\) | −103.761 | + | 56.6579i | −0.478162 | + | 0.261096i | ||||
\(218\) | −11.4969 | + | 160.748i | −0.0527380 | + | 0.737374i | ||||
\(219\) | −578.317 | + | 501.115i | −2.64072 | + | 2.28820i | ||||
\(220\) | 83.5228 | − | 77.3471i | 0.379649 | − | 0.351578i | ||||
\(221\) | −196.085 | + | 429.365i | −0.887260 | + | 1.94283i | ||||
\(222\) | −68.1300 | + | 14.8208i | −0.306892 | + | 0.0667603i | ||||
\(223\) | 56.9334 | + | 31.0880i | 0.255307 | + | 0.139408i | 0.601806 | − | 0.798642i | \(-0.294448\pi\) |
−0.346500 | + | 0.938050i | \(0.612630\pi\) | |||||||
\(224\) | 21.6781 | + | 3.11684i | 0.0967773 | + | 0.0139145i | ||||
\(225\) | −429.693 | − | 325.260i | −1.90975 | − | 1.44560i | ||||
\(226\) | −19.5561 | − | 136.016i | −0.0865314 | − | 0.601839i | ||||
\(227\) | 54.7215 | − | 251.550i | 0.241064 | − | 1.10815i | −0.684338 | − | 0.729165i | \(-0.739909\pi\) |
0.925402 | − | 0.378987i | \(-0.123728\pi\) | |||||||
\(228\) | 21.3128 | − | 1.52432i | 0.0934770 | − | 0.00668561i | ||||
\(229\) | − | 418.794i | − | 1.82880i | −0.404816 | − | 0.914398i | \(-0.632665\pi\) | ||
0.404816 | − | 0.914398i | \(-0.367335\pi\) | |||||||
\(230\) | −106.895 | − | 122.570i | −0.464761 | − | 0.532914i | ||||
\(231\) | −243.625 | −1.05465 | ||||||||
\(232\) | 10.0135 | + | 140.007i | 0.0431618 | + | 0.603480i | ||||
\(233\) | −1.49612 | − | 0.325461i | −0.00642112 | − | 0.00139683i | 0.209354 | − | 0.977840i | \(-0.432864\pi\) |
−0.215775 | + | 0.976443i | \(0.569228\pi\) | |||||||
\(234\) | −635.425 | + | 91.3604i | −2.71549 | + | 0.390429i | ||||
\(235\) | 44.0976 | + | 55.0219i | 0.187649 | + | 0.234136i | ||||
\(236\) | 4.23479 | − | 29.4536i | 0.0179440 | − | 0.124803i | ||||
\(237\) | −152.969 | + | 280.142i | −0.645439 | + | 1.18203i | ||||
\(238\) | 26.0883 | + | 119.926i | 0.109615 | + | 0.503891i | ||||
\(239\) | 69.7012 | + | 31.8315i | 0.291637 | + | 0.133186i | 0.555861 | − | 0.831275i | \(-0.312389\pi\) |
−0.264224 | + | 0.964461i | \(0.585116\pi\) | |||||||
\(240\) | 4.24102 | − | 110.475i | 0.0176709 | − | 0.460311i | ||||
\(241\) | 232.222 | + | 267.999i | 0.963578 | + | 1.11203i | 0.993654 | + | 0.112480i | \(0.0358795\pi\) |
−0.0300764 | + | 0.999548i | \(0.509575\pi\) | |||||||
\(242\) | −12.1120 | − | 0.866270i | −0.0500497 | − | 0.00357963i | ||||
\(243\) | 203.110 | + | 371.969i | 0.835845 | + | 1.53074i | ||||
\(244\) | 191.994 | + | 87.6808i | 0.786861 | + | 0.359347i | ||||
\(245\) | 152.269 | − | 75.7127i | 0.621507 | − | 0.309031i | ||||
\(246\) | 95.5229 | − | 28.0481i | 0.388305 | − | 0.114017i | ||||
\(247\) | −24.3896 | − | 32.5807i | −0.0987434 | − | 0.131906i | ||||
\(248\) | −30.1827 | + | 80.9228i | −0.121704 | + | 0.326302i | ||||
\(249\) | 521.872 | − | 75.0338i | 2.09587 | − | 0.301341i | ||||
\(250\) | −170.930 | − | 45.0888i | −0.683719 | − | 0.180355i | ||||
\(251\) | 110.121 | − | 127.086i | 0.438727 | − | 0.506318i | −0.492723 | − | 0.870186i | \(-0.663998\pi\) |
0.931451 | + | 0.363868i | \(0.118544\pi\) | |||||||
\(252\) | −118.028 | + | 118.028i | −0.468366 | + | 0.468366i | ||||
\(253\) | −26.4603 | + | 260.482i | −0.104586 | + | 1.02957i | ||||
\(254\) | 223.042i | 0.878117i | ||||||||
\(255\) | 588.359 | − | 194.081i | 2.30729 | − | 0.761103i | ||||
\(256\) | 13.4601 | − | 8.65025i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | −34.7237 | − | 25.9938i | −0.135112 | − | 0.101143i | 0.529584 | − | 0.848257i | \(-0.322348\pi\) |
−0.664696 | + | 0.747114i | \(0.731439\pi\) | |||||||
\(258\) | −73.5073 | + | 197.081i | −0.284912 | + | 0.763879i | ||||
\(259\) | 34.1789 | + | 4.91418i | 0.131965 | + | 0.0189737i | ||||
\(260\) | −181.386 | + | 106.967i | −0.697638 | + | 0.411413i | ||||
\(261\) | −899.957 | − | 578.367i | −3.44811 | − | 2.21597i | ||||
\(262\) | −14.9156 | − | 39.9903i | −0.0569298 | − | 0.152635i | ||||
\(263\) | −98.3200 | − | 180.060i | −0.373840 | − | 0.684638i | 0.621249 | − | 0.783613i | \(-0.286625\pi\) |
−0.995090 | + | 0.0989753i | \(0.968444\pi\) | |||||||
\(264\) | −134.510 | + | 116.554i | −0.509508 | + | 0.441492i | ||||
\(265\) | 48.3043 | − | 69.1764i | 0.182280 | − | 0.261043i | ||||
\(266\) | −10.1534 | − | 2.98131i | −0.0381707 | − | 0.0112079i | ||||
\(267\) | 25.1770 | + | 67.5022i | 0.0942960 | + | 0.252817i | ||||
\(268\) | 17.2498 | + | 79.2960i | 0.0643649 | + | 0.295881i | ||||
\(269\) | 88.2386 | + | 300.513i | 0.328025 | + | 1.11715i | 0.944154 | + | 0.329505i | \(0.106882\pi\) |
−0.616129 | + | 0.787645i | \(0.711300\pi\) | |||||||
\(270\) | 381.339 | + | 308.985i | 1.41237 | + | 1.14439i | ||||
\(271\) | −42.7471 | − | 93.6030i | −0.157738 | − | 0.345398i | 0.814218 | − | 0.580559i | \(-0.197166\pi\) |
−0.971957 | + | 0.235160i | \(0.924439\pi\) | |||||||
\(272\) | 71.7783 | + | 53.7325i | 0.263891 | + | 0.197546i | ||||
\(273\) | 440.366 | + | 95.7959i | 1.61306 | + | 0.350901i | ||||
\(274\) | 106.194 | + | 92.0179i | 0.387570 | + | 0.335832i | ||||
\(275\) | 135.054 | + | 250.504i | 0.491104 | + | 0.910922i | ||||
\(276\) | 160.711 | + | 197.053i | 0.582285 | + | 0.713960i | ||||
\(277\) | 6.77143 | − | 6.77143i | 0.0244456 | − | 0.0244456i | −0.694778 | − | 0.719224i | \(-0.744498\pi\) |
0.719224 | + | 0.694778i | \(0.244498\pi\) | |||||||
\(278\) | −350.781 | + | 25.0883i | −1.26180 | + | 0.0902458i | ||||
\(279\) | −355.876 | − | 553.755i | −1.27554 | − | 1.98478i | ||||
\(280\) | −21.0879 | + | 50.5287i | −0.0753140 | + | 0.180460i | ||||
\(281\) | −125.627 | − | 275.084i | −0.447070 | − | 0.978946i | −0.990246 | − | 0.139328i | \(-0.955506\pi\) |
0.543176 | − | 0.839619i | \(-0.317221\pi\) | |||||||
\(282\) | −66.0681 | − | 88.2566i | −0.234284 | − | 0.312967i | ||||
\(283\) | 177.135 | + | 96.7230i | 0.625918 | + | 0.341777i | 0.760705 | − | 0.649097i | \(-0.224853\pi\) |
−0.134787 | + | 0.990875i | \(0.543035\pi\) | |||||||
\(284\) | −74.4810 | + | 115.895i | −0.262257 | + | 0.408080i | ||||
\(285\) | −9.62488 | + | 52.5438i | −0.0337715 | + | 0.184364i | ||||
\(286\) | 325.273 | + | 95.5089i | 1.13732 | + | 0.333947i | ||||
\(287\) | −49.1790 | − | 3.51735i | −0.171356 | − | 0.0122556i | ||||
\(288\) | −8.69929 | + | 121.632i | −0.0302059 | + | 0.422333i | ||||
\(289\) | −60.1377 | + | 204.810i | −0.208089 | + | 0.708685i | ||||
\(290\) | −345.169 | − | 63.2276i | −1.19024 | − | 0.218026i | ||||
\(291\) | −181.337 | − | 116.538i | −0.623152 | − | 0.400475i | ||||
\(292\) | 132.687 | − | 242.997i | 0.454406 | − | 0.832182i | ||||
\(293\) | −305.850 | + | 228.956i | −1.04386 | + | 0.781420i | −0.976328 | − | 0.216297i | \(-0.930602\pi\) |
−0.0675278 | + | 0.997717i | \(0.521511\pi\) | |||||||
\(294\) | −241.852 | + | 110.450i | −0.822626 | + | 0.375681i | ||||
\(295\) | 68.6523 | + | 28.6517i | 0.232720 | + | 0.0971245i | ||||
\(296\) | 21.2218 | − | 13.6384i | 0.0716954 | − | 0.0460758i | ||||
\(297\) | −56.3681 | − | 788.129i | −0.189792 | − | 2.65363i | ||||
\(298\) | 23.6263 | + | 23.6263i | 0.0792829 | + | 0.0792829i | ||||
\(299\) | 150.253 | − | 460.432i | 0.502518 | − | 1.53991i | ||||
\(300\) | 264.775 | + | 79.2833i | 0.882583 | + | 0.264278i | ||||
\(301\) | 68.2180 | − | 78.7278i | 0.226638 | − | 0.261554i | ||||
\(302\) | −66.4522 | + | 305.476i | −0.220041 | + | 1.01151i | ||||
\(303\) | 421.687 | − | 563.308i | 1.39171 | − | 1.85910i | ||||
\(304\) | −7.03219 | + | 3.21150i | −0.0231322 | + | 0.0105641i | ||||
\(305\) | −332.192 | + | 409.980i | −1.08916 | + | 1.34420i | ||||
\(306\) | −655.672 | + | 192.523i | −2.14272 | + | 0.629159i | ||||
\(307\) | 63.8034 | − | 13.8796i | 0.207829 | − | 0.0452103i | −0.107446 | − | 0.994211i | \(-0.534267\pi\) |
0.315274 | + | 0.949001i | \(0.397904\pi\) | |||||||
\(308\) | 82.5878 | − | 30.8036i | 0.268142 | − | 0.100012i | ||||
\(309\) | 89.4768 | − | 304.730i | 0.289569 | − | 0.986181i | ||||
\(310\) | −177.032 | − | 123.618i | −0.571072 | − | 0.398767i | ||||
\(311\) | −277.235 | − | 319.947i | −0.891432 | − | 1.02877i | −0.999401 | − | 0.0346133i | \(-0.988980\pi\) |
0.107969 | − | 0.994154i | \(-0.465565\pi\) | |||||||
\(312\) | 288.965 | − | 157.787i | 0.926170 | − | 0.505727i | ||||
\(313\) | −178.426 | + | 66.5496i | −0.570053 | + | 0.212619i | −0.617928 | − | 0.786235i | \(-0.712028\pi\) |
0.0478755 | + | 0.998853i | \(0.484755\pi\) | |||||||
\(314\) | 36.5431 | − | 56.8621i | 0.116379 | − | 0.181090i | ||||
\(315\) | −211.973 | − | 359.445i | −0.672929 | − | 1.14109i | ||||
\(316\) | 16.4350 | − | 114.308i | 0.0520095 | − | 0.361734i | ||||
\(317\) | 122.179 | + | 45.5705i | 0.385423 | + | 0.143755i | 0.534704 | − | 0.845039i | \(-0.320423\pi\) |
−0.149281 | + | 0.988795i | \(0.547696\pi\) | |||||||
\(318\) | −79.0543 | + | 105.604i | −0.248598 | + | 0.332089i | ||||
\(319\) | 305.424 | + | 475.248i | 0.957440 | + | 1.48981i | ||||
\(320\) | 12.5306 | + | 37.9866i | 0.0391581 | + | 0.118708i | ||||
\(321\) | −516.156 | −1.60796 | ||||||||
\(322\) | −40.4691 | − | 119.251i | −0.125680 | − | 0.370346i | ||||
\(323\) | −30.6337 | − | 30.6337i | −0.0948412 | − | 0.0948412i | ||||
\(324\) | −286.699 | − | 248.426i | −0.884872 | − | 0.766746i | ||||
\(325\) | −145.617 | − | 505.904i | −0.448051 | − | 1.55663i | ||||
\(326\) | −0.693318 | − | 4.82213i | −0.00212674 | − | 0.0147918i | ||||
\(327\) | 590.210 | + | 220.137i | 1.80492 | + | 0.673201i | ||||
\(328\) | −28.8355 | + | 21.5860i | −0.0879130 | + | 0.0658108i | ||||
\(329\) | 15.3824 | + | 52.3875i | 0.0467549 | + | 0.159233i | ||||
\(330\) | −198.107 | − | 398.422i | −0.600324 | − | 1.20734i | ||||
\(331\) | 94.0603 | − | 205.963i | 0.284170 | − | 0.622245i | −0.712686 | − | 0.701483i | \(-0.752521\pi\) |
0.996856 | + | 0.0792380i | \(0.0252487\pi\) | |||||||
\(332\) | −167.425 | + | 91.4209i | −0.504292 | + | 0.275364i | ||||
\(333\) | −13.7158 | + | 191.771i | −0.0411885 | + | 0.575890i | ||||
\(334\) | 180.441 | − | 156.353i | 0.540244 | − | 0.468124i | ||||
\(335\) | −202.727 | − | 7.78251i | −0.605156 | − | 0.0232314i | ||||
\(336\) | 35.5619 | − | 77.8696i | 0.105839 | − | 0.231755i | ||||
\(337\) | 652.497 | − | 141.942i | 1.93619 | − | 0.421193i | 0.939235 | − | 0.343276i | \(-0.111537\pi\) |
0.996960 | − | 0.0779171i | \(-0.0248270\pi\) | |||||||
\(338\) | −340.628 | − | 185.997i | −1.00778 | − | 0.550287i | ||||
\(339\) | −531.651 | − | 76.4399i | −1.56829 | − | 0.225486i | ||||
\(340\) | −174.912 | + | 140.184i | −0.514446 | + | 0.412306i | ||||
\(341\) | 49.4697 | + | 344.070i | 0.145073 | + | 1.00900i | ||||
\(342\) | 12.5243 | − | 57.5732i | 0.0366207 | − | 0.168343i | ||||
\(343\) | 320.565 | − | 22.9273i | 0.934592 | − | 0.0668433i | ||||
\(344\) | − | 76.1036i | − | 0.221231i | ||||||
\(345\) | −577.404 | + | 265.924i | −1.67364 | + | 0.770795i | ||||
\(346\) | −65.8148 | −0.190216 | ||||||||
\(347\) | −2.76360 | − | 38.6402i | −0.00796428 | − | 0.111355i | 0.991915 | − | 0.126906i | \(-0.0405045\pi\) |
−0.999879 | + | 0.0155504i | \(0.995050\pi\) | |||||||
\(348\) | 536.113 | + | 116.624i | 1.54056 | + | 0.335127i | ||||
\(349\) | 160.287 | − | 23.0458i | 0.459276 | − | 0.0660339i | 0.0912061 | − | 0.995832i | \(-0.470928\pi\) |
0.368070 | + | 0.929798i | \(0.380019\pi\) | |||||||
\(350\) | −109.140 | − | 82.6141i | −0.311828 | − | 0.236040i | ||||
\(351\) | −208.012 | + | 1446.75i | −0.592626 | + | 4.12180i | ||||
\(352\) | 30.8614 | − | 56.5185i | 0.0876745 | − | 0.160564i | ||||
\(353\) | 25.0431 | + | 115.121i | 0.0709436 | + | 0.326123i | 0.998917 | − | 0.0465234i | \(-0.0148142\pi\) |
−0.927974 | + | 0.372646i | \(0.878451\pi\) | |||||||
\(354\) | −105.800 | − | 48.3172i | −0.298870 | − | 0.136489i | ||||
\(355\) | −234.014 | − | 252.698i | −0.659194 | − | 0.711826i | ||||
\(356\) | −17.0698 | − | 19.6996i | −0.0479489 | − | 0.0553359i | ||||
\(357\) | 478.502 | + | 34.2231i | 1.34034 | + | 0.0958631i | ||||
\(358\) | 51.0235 | + | 93.4426i | 0.142524 | + | 0.261013i | ||||
\(359\) | 189.166 | + | 86.3892i | 0.526925 | + | 0.240639i | 0.661071 | − | 0.750323i | \(-0.270102\pi\) |
−0.134147 | + | 0.990962i | \(0.542829\pi\) | |||||||
\(360\) | −288.998 | − | 97.0457i | −0.802772 | − | 0.269571i | ||||
\(361\) | −342.793 | + | 100.653i | −0.949565 | + | 0.278817i | ||||
\(362\) | −276.736 | − | 369.676i | −0.764464 | − | 1.02120i | ||||
\(363\) | −16.5869 | + | 44.4712i | −0.0456940 | + | 0.122510i | ||||
\(364\) | −161.394 | + | 23.2050i | −0.443391 | + | 0.0637501i | ||||
\(365\) | 505.326 | + | 473.000i | 1.38445 | + | 1.29589i | ||||
\(366\) | 540.267 | − | 623.502i | 1.47614 | − | 1.70356i | ||||
\(367\) | −397.881 | + | 397.881i | −1.08414 | + | 1.08414i | −0.0880262 | + | 0.996118i | \(0.528056\pi\) |
−0.996118 | + | 0.0880262i | \(0.971944\pi\) | |||||||
\(368\) | −79.3953 | − | 46.4800i | −0.215748 | − | 0.126304i | ||||
\(369\) | − | 274.523i | − | 0.743965i | ||||||
\(370\) | 19.7564 | + | 59.8917i | 0.0533957 | + | 0.161870i | ||||
\(371\) | 54.9600 | − | 35.3206i | 0.148140 | − | 0.0952038i | ||||
\(372\) | 270.256 | + | 202.311i | 0.726496 | + | 0.543848i | ||||
\(373\) | 109.229 | − | 292.855i | 0.292840 | − | 0.785135i | −0.704324 | − | 0.709879i | \(-0.748750\pi\) |
0.997164 | − | 0.0752565i | \(-0.0239775\pi\) | |||||||
\(374\) | 357.191 | + | 51.3563i | 0.955057 | + | 0.137316i | ||||
\(375\) | −357.333 | + | 591.405i | −0.952889 | + | 1.57708i | ||||
\(376\) | 33.5558 | + | 21.5650i | 0.0892442 | + | 0.0573538i | ||||
\(377\) | −365.198 | − | 979.134i | −0.968695 | − | 2.59717i | ||||
\(378\) | 182.134 | + | 333.554i | 0.481836 | + | 0.882418i | ||||
\(379\) | −478.920 | + | 414.987i | −1.26364 | + | 1.09495i | −0.272498 | + | 0.962156i | \(0.587850\pi\) |
−0.991143 | + | 0.132796i | \(0.957605\pi\) | |||||||
\(380\) | −3.38077 | − | 19.0290i | −0.00889677 | − | 0.0500764i | ||||
\(381\) | 836.499 | + | 245.618i | 2.19554 | + | 0.644668i | ||||
\(382\) | 89.0627 | + | 238.786i | 0.233148 | + | 0.625095i | ||||
\(383\) | 99.4016 | + | 456.942i | 0.259534 | + | 1.19306i | 0.903697 | + | 0.428172i | \(0.140842\pi\) |
−0.644163 | + | 0.764888i | \(0.722794\pi\) | |||||||
\(384\) | −17.6195 | − | 60.0067i | −0.0458842 | − | 0.156267i | ||||
\(385\) | 22.9706 | + | 219.163i | 0.0596639 | + | 0.569254i | ||||
\(386\) | 1.80413 | + | 3.95050i | 0.00467392 | + | 0.0102345i | ||||
\(387\) | 464.328 | + | 347.592i | 1.19981 | + | 0.898169i | ||||
\(388\) | 76.2074 | + | 16.5779i | 0.196411 | + | 0.0427266i | ||||
\(389\) | −189.841 | − | 164.498i | −0.488023 | − | 0.422874i | 0.375777 | − | 0.926710i | \(-0.377376\pi\) |
−0.863799 | + | 0.503836i | \(0.831921\pi\) | |||||||
\(390\) | 201.426 | + | 798.068i | 0.516477 | + | 2.04633i | ||||
\(391\) | 88.5616 | − | 507.894i | 0.226500 | − | 1.29896i | ||||
\(392\) | 68.0215 | − | 68.0215i | 0.173524 | − | 0.173524i | ||||
\(393\) | −166.406 | + | 11.9016i | −0.423424 | + | 0.0302839i | ||||
\(394\) | 186.612 | + | 290.373i | 0.473634 | + | 0.736988i | ||||
\(395\) | 266.436 | + | 111.196i | 0.674521 | + | 0.281508i | ||||
\(396\) | 203.879 | + | 446.433i | 0.514846 | + | 1.12736i | ||||
\(397\) | −255.902 | − | 341.845i | −0.644589 | − | 0.861071i | 0.352617 | − | 0.935768i | \(-0.385292\pi\) |
−0.997206 | + | 0.0746972i | \(0.976201\pi\) | |||||||
\(398\) | −30.2340 | − | 16.5090i | −0.0759649 | − | 0.0414800i | ||||
\(399\) | −22.3623 | + | 34.7964i | −0.0560459 | + | 0.0872090i | ||||
\(400\) | −99.7819 | + | 6.60112i | −0.249455 | + | 0.0165028i | ||||
\(401\) | 685.328 | + | 201.231i | 1.70905 | + | 0.501822i | 0.982653 | − | 0.185455i | \(-0.0593759\pi\) |
0.726396 | + | 0.687277i | \(0.241194\pi\) | |||||||
\(402\) | 316.389 | + | 22.6286i | 0.787037 | + | 0.0562900i | ||||
\(403\) | 45.8722 | − | 641.378i | 0.113827 | − | 1.59151i | ||||
\(404\) | −71.7259 | + | 244.276i | −0.177539 | + | 0.604644i | ||||
\(405\) | 780.470 | − | 538.807i | 1.92709 | − | 1.33039i | ||||
\(406\) | −228.584 | − | 146.902i | −0.563015 | − | 0.361827i | ||||
\(407\) | 48.6577 | − | 89.1100i | 0.119552 | − | 0.218944i | ||||
\(408\) | 280.563 | − | 210.027i | 0.687655 | − | 0.514772i | ||||
\(409\) | 330.543 | − | 150.954i | 0.808173 | − | 0.369080i | 0.0319112 | − | 0.999491i | \(-0.489841\pi\) |
0.776262 | + | 0.630410i | \(0.217113\pi\) | |||||||
\(410\) | −34.2383 | − | 83.2870i | −0.0835081 | − | 0.203139i | ||||
\(411\) | 462.049 | − | 296.941i | 1.12421 | − | 0.722483i | ||||
\(412\) | 8.19745 | + | 114.615i | 0.0198967 | + | 0.278193i | ||||
\(413\) | 40.7311 | + | 40.7311i | 0.0986226 | + | 0.0986226i | ||||
\(414\) | 646.212 | − | 272.121i | 1.56090 | − | 0.657297i | ||||
\(415\) | −116.705 | − | 462.396i | −0.281218 | − | 1.11421i | ||||
\(416\) | −78.0074 | + | 90.0254i | −0.187518 | + | 0.216407i | ||||
\(417\) | −292.195 | + | 1343.20i | −0.700709 | + | 3.22111i | ||||
\(418\) | −18.6461 | + | 24.9083i | −0.0446079 | + | 0.0595891i | ||||
\(419\) | 182.808 | − | 83.4858i | 0.436297 | − | 0.199250i | −0.185143 | − | 0.982711i | \(-0.559275\pi\) |
0.621441 | + | 0.783461i | \(0.286548\pi\) | |||||||
\(420\) | 166.281 | + | 134.732i | 0.395907 | + | 0.320790i | ||||
\(421\) | 169.851 | − | 49.8728i | 0.403447 | − | 0.118463i | −0.0737122 | − | 0.997280i | \(-0.523485\pi\) |
0.477159 | + | 0.878817i | \(0.341666\pi\) | |||||||
\(422\) | −443.296 | + | 96.4332i | −1.05047 | + | 0.228515i | ||||
\(423\) | −284.835 | + | 106.238i | −0.673368 | + | 0.251153i | ||||
\(424\) | 13.4466 | − | 45.7948i | 0.0317136 | − | 0.108007i | ||||
\(425\) | −230.068 | − | 510.983i | −0.541337 | − | 1.20231i | ||||
\(426\) | 352.633 | + | 406.961i | 0.827778 | + | 0.955307i | ||||
\(427\) | −358.606 | + | 195.814i | −0.839827 | + | 0.458580i | ||||
\(428\) | 174.975 | − | 65.2621i | 0.408819 | − | 0.152482i | ||||
\(429\) | 716.396 | − | 1114.73i | 1.66992 | − | 2.59845i | ||||
\(430\) | 184.223 | + | 47.5444i | 0.428425 | + | 0.110568i | ||||
\(431\) | 13.6962 | − | 95.2591i | 0.0317777 | − | 0.221019i | −0.967744 | − | 0.251935i | \(-0.918933\pi\) |
0.999522 | + | 0.0309157i | \(0.00984233\pi\) | |||||||
\(432\) | 260.137 | + | 97.0260i | 0.602168 | + | 0.224597i | ||||
\(433\) | −67.4095 | + | 90.0486i | −0.155680 | + | 0.207964i | −0.871600 | − | 0.490219i | \(-0.836917\pi\) |
0.715919 | + | 0.698183i | \(0.246008\pi\) | |||||||
\(434\) | −90.3906 | − | 140.651i | −0.208273 | − | 0.324080i | ||||
\(435\) | −617.238 | + | 1224.90i | −1.41894 | + | 2.81587i | ||||
\(436\) | −227.912 | −0.522734 | ||||||||
\(437\) | 34.7753 | + | 27.6889i | 0.0795773 | + | 0.0633613i | ||||
\(438\) | −765.223 | − | 765.223i | −1.74709 | − | 1.74709i | ||||
\(439\) | −337.277 | − | 292.252i | −0.768284 | − | 0.665722i | 0.179814 | − | 0.983701i | \(-0.442450\pi\) |
−0.948098 | + | 0.317979i | \(0.896996\pi\) | |||||||
\(440\) | 117.533 | + | 110.015i | 0.267121 | + | 0.250033i | ||||
\(441\) | 104.339 | + | 725.695i | 0.236597 | + | 1.64557i | ||||
\(442\) | −625.450 | − | 233.281i | −1.41504 | − | 0.527784i | ||||
\(443\) | −95.5502 | + | 71.5280i | −0.215689 | + | 0.161463i | −0.701659 | − | 0.712513i | \(-0.747557\pi\) |
0.485970 | + | 0.873975i | \(0.338466\pi\) | |||||||
\(444\) | −27.7799 | − | 94.6097i | −0.0625674 | − | 0.213085i | ||||
\(445\) | 58.3505 | − | 29.0136i | 0.131125 | − | 0.0651991i | ||||
\(446\) | −38.1091 | + | 83.4472i | −0.0854463 | + | 0.187101i | ||||
\(447\) | 114.626 | − | 62.5906i | 0.256434 | − | 0.140024i | ||||
\(448\) | −2.20957 | + | 30.8938i | −0.00493208 | + | 0.0689595i | ||||
\(449\) | 69.7654 | − | 60.4521i | 0.155380 | − | 0.134637i | −0.573702 | − | 0.819064i | \(-0.694493\pi\) |
0.729081 | + | 0.684427i | \(0.239948\pi\) | |||||||
\(450\) | 415.463 | − | 638.945i | 0.923252 | − | 1.41988i | ||||
\(451\) | −60.2227 | + | 131.869i | −0.133531 | + | 0.292393i | ||||
\(452\) | 189.892 | − | 41.3085i | 0.420115 | − | 0.0913905i | ||||
\(453\) | 1072.48 | + | 585.620i | 2.36751 | + | 1.29276i | ||||
\(454\) | 360.360 | + | 51.8120i | 0.793745 | + | 0.114123i | ||||
\(455\) | 44.6563 | − | 405.182i | 0.0981458 | − | 0.890510i | ||||
\(456\) | 4.30044 | + | 29.9102i | 0.00943079 | + | 0.0655926i | ||||
\(457\) | 105.016 | − | 482.749i | 0.229793 | − | 1.05634i | −0.707205 | − | 0.707009i | \(-0.750044\pi\) |
0.936998 | − | 0.349334i | \(-0.113592\pi\) | |||||||
\(458\) | 590.756 | − | 42.2517i | 1.28986 | − | 0.0922526i | ||||
\(459\) | 1555.88i | 3.38971i | ||||||||
\(460\) | 162.114 | − | 163.153i | 0.352422 | − | 0.354681i | ||||
\(461\) | 444.984 | 0.965258 | 0.482629 | − | 0.875825i | \(-0.339682\pi\) | ||||
0.482629 | + | 0.875825i | \(0.339682\pi\) | |||||||
\(462\) | −24.5791 | − | 343.660i | −0.0532014 | − | 0.743853i | ||||
\(463\) | 510.468 | + | 111.045i | 1.10252 | + | 0.239839i | 0.726770 | − | 0.686881i | \(-0.241021\pi\) |
0.375752 | + | 0.926720i | \(0.377384\pi\) | |||||||
\(464\) | −196.486 | + | 28.2504i | −0.423460 | + | 0.0608844i | ||||
\(465\) | −658.570 | + | 527.815i | −1.41628 | + | 1.13509i | ||||
\(466\) | 0.308157 | − | 2.14328i | 0.000661281 | − | 0.00459931i | ||||
\(467\) | 98.7523 | − | 180.851i | 0.211461 | − | 0.387262i | −0.750323 | − | 0.661072i | \(-0.770102\pi\) |
0.961784 | + | 0.273810i | \(0.0882838\pi\) | |||||||
\(468\) | −192.981 | − | 887.120i | −0.412353 | − | 1.89556i | ||||
\(469\) | −142.895 | − | 65.2580i | −0.304680 | − | 0.139143i | ||||
\(470\) | −73.1655 | + | 67.7557i | −0.155671 | + | 0.144161i | ||||
\(471\) | −173.015 | − | 199.669i | −0.367335 | − | 0.423927i | ||||
\(472\) | 41.9748 | + | 3.00210i | 0.0889297 | + | 0.00636038i | ||||
\(473\) | −146.792 | − | 268.829i | −0.310342 | − | 0.568348i | ||||
\(474\) | −410.604 | − | 187.517i | −0.866253 | − | 0.395604i | ||||
\(475\) | 48.1754 | + | 3.70428i | 0.101422 | + | 0.00779847i | ||||
\(476\) | −166.537 | + | 48.8997i | −0.349868 | + | 0.102730i | ||||
\(477\) | 217.991 | + | 291.202i | 0.457004 | + | 0.610486i | ||||
\(478\) | −37.8697 | + | 101.533i | −0.0792254 | + | 0.212411i | ||||
\(479\) | −232.774 | + | 33.4679i | −0.485958 | + | 0.0698703i | −0.380939 | − | 0.924600i | \(-0.624399\pi\) |
−0.105019 | + | 0.994470i | \(0.533490\pi\) | |||||||
\(480\) | 156.265 | − | 5.16324i | 0.325551 | − | 0.0107567i | ||||
\(481\) | −122.991 | + | 141.939i | −0.255698 | + | 0.295091i | ||||
\(482\) | −354.613 | + | 354.613i | −0.735712 | + | 0.735712i | ||||
\(483\) | −491.807 | + | 20.4537i | −1.01823 | + | 0.0423473i | ||||
\(484\) | − | 17.1728i | − | 0.0354809i | ||||||
\(485\) | −87.7391 | + | 174.117i | −0.180905 | + | 0.359005i | ||||
\(486\) | −504.212 | + | 324.037i | −1.03747 | + | 0.666743i | ||||
\(487\) | 4.50193 | + | 3.37010i | 0.00924421 | + | 0.00692013i | 0.603890 | − | 0.797068i | \(-0.293617\pi\) |
−0.594646 | + | 0.803988i | \(0.702708\pi\) | |||||||
\(488\) | −104.313 | + | 279.675i | −0.213757 | + | 0.573104i | ||||
\(489\) | −18.8485 | − | 2.71000i | −0.0385450 | − | 0.00554193i | ||||
\(490\) | 122.163 | + | 207.154i | 0.249313 | + | 0.422763i | ||||
\(491\) | 753.546 | + | 484.275i | 1.53472 | + | 0.986303i | 0.988931 | + | 0.148378i | \(0.0474053\pi\) |
0.545786 | + | 0.837925i | \(0.316231\pi\) | |||||||
\(492\) | 49.2021 | + | 131.916i | 0.100004 | + | 0.268122i | ||||
\(493\) | −533.119 | − | 976.335i | −1.08138 | − | 1.98040i | ||||
\(494\) | 43.4981 | − | 37.6913i | 0.0880528 | − | 0.0762982i | ||||
\(495\) | −1208.04 | + | 214.626i | −2.44049 | + | 0.433587i | ||||
\(496\) | −117.196 | − | 34.4118i | −0.236282 | − | 0.0693785i | ||||
\(497\) | −93.1964 | − | 249.869i | −0.187518 | − | 0.502755i | ||||
\(498\) | 158.495 | + | 728.588i | 0.318262 | + | 1.46303i | ||||
\(499\) | −116.590 | − | 397.068i | −0.233646 | − | 0.795727i | −0.989939 | − | 0.141493i | \(-0.954810\pi\) |
0.756293 | − | 0.654233i | \(-0.227009\pi\) | |||||||
\(500\) | 46.3578 | − | 245.664i | 0.0927155 | − | 0.491329i | ||||
\(501\) | −387.684 | − | 848.910i | −0.773821 | − | 1.69443i | ||||
\(502\) | 190.379 | + | 142.516i | 0.379240 | + | 0.283896i | ||||
\(503\) | 518.705 | + | 112.837i | 1.03122 | + | 0.224329i | 0.696175 | − | 0.717872i | \(-0.254884\pi\) |
0.335048 | + | 0.942201i | \(0.391247\pi\) | |||||||
\(504\) | −178.399 | − | 154.584i | −0.353967 | − | 0.306714i | ||||
\(505\) | −546.506 | − | 326.233i | −1.08219 | − | 0.646006i | ||||
\(506\) | −370.109 | − | 11.0454i | −0.731440 | − | 0.0218289i | ||||
\(507\) | −1072.67 | + | 1072.67i | −2.11573 | + | 2.11573i | ||||
\(508\) | −314.625 | + | 22.5024i | −0.619340 | + | 0.0442961i | ||||
\(509\) | 52.2262 | + | 81.2655i | 0.102605 | + | 0.159657i | 0.888760 | − | 0.458373i | \(-0.151567\pi\) |
−0.786155 | + | 0.618030i | \(0.787931\pi\) | |||||||
\(510\) | 333.132 | + | 810.365i | 0.653200 | + | 1.58895i | ||||
\(511\) | 222.642 | + | 487.519i | 0.435699 | + | 0.954048i | ||||
\(512\) | 13.5601 | + | 18.1142i | 0.0264846 | + | 0.0353793i | ||||
\(513\) | −117.741 | − | 64.2912i | −0.229514 | − | 0.125324i | ||||
\(514\) | 33.1639 | − | 51.6041i | 0.0645213 | − | 0.100397i | ||||
\(515\) | −282.569 | − | 51.7605i | −0.548677 | − | 0.100506i | ||||
\(516\) | −285.420 | − | 83.8070i | −0.553140 | − | 0.162417i | ||||
\(517\) | 160.128 | + | 11.4526i | 0.309726 | + | 0.0221520i | ||||
\(518\) | −3.48373 | + | 48.7089i | −0.00672534 | + | 0.0940325i | ||||
\(519\) | −72.4767 | + | 246.833i | −0.139647 | + | 0.475593i | ||||
\(520\) | −169.189 | − | 245.073i | −0.325364 | − | 0.471294i | ||||
\(521\) | 221.276 | + | 142.206i | 0.424715 | + | 0.272948i | 0.735490 | − | 0.677536i | \(-0.236952\pi\) |
−0.310775 | + | 0.950484i | \(0.600589\pi\) | |||||||
\(522\) | 725.055 | − | 1327.84i | 1.38899 | − | 2.54375i | ||||
\(523\) | 570.523 | − | 427.088i | 1.09087 | − | 0.816612i | 0.106776 | − | 0.994283i | \(-0.465947\pi\) |
0.984090 | + | 0.177671i | \(0.0568563\pi\) | |||||||
\(524\) | 54.9059 | − | 25.0747i | 0.104782 | − | 0.0478525i | ||||
\(525\) | −430.024 | + | 318.343i | −0.819094 | + | 0.606367i | ||||
\(526\) | 244.075 | − | 156.857i | 0.464020 | − | 0.298208i | ||||
\(527\) | −48.8300 | − | 682.733i | −0.0926566 | − | 1.29551i | ||||
\(528\) | −177.983 | − | 177.983i | −0.337088 | − | 0.337088i | ||||
\(529\) | −31.5466 | + | 528.059i | −0.0596343 | + | 0.998220i | ||||
\(530\) | 102.454 | + | 61.1594i | 0.193310 | + | 0.115395i | ||||
\(531\) | −210.030 | + | 242.388i | −0.395537 | + | 0.456474i | ||||
\(532\) | 3.18110 | − | 14.6233i | 0.00597951 | − | 0.0274874i | ||||
\(533\) | 160.708 | − | 214.681i | 0.301516 | − | 0.402779i | ||||
\(534\) | −92.6793 | + | 42.3252i | −0.173557 | + | 0.0792607i | ||||
\(535\) | 48.6667 | + | 464.329i | 0.0909658 | + | 0.867905i | ||||
\(536\) | −110.115 | + | 32.3328i | −0.205439 | + | 0.0603224i | ||||
\(537\) | 406.637 | − | 88.4584i | 0.757238 | − | 0.164727i | ||||
\(538\) | −415.005 | + | 154.789i | −0.771384 | + | 0.287711i | ||||
\(539\) | 109.077 | − | 371.482i | 0.202369 | − | 0.689206i | ||||
\(540\) | −397.385 | + | 569.094i | −0.735898 | + | 1.05388i | ||||
\(541\) | −431.023 | − | 497.427i | −0.796716 | − | 0.919459i | 0.201481 | − | 0.979492i | \(-0.435425\pi\) |
−0.998196 | + | 0.0600337i | \(0.980879\pi\) | |||||||
\(542\) | 127.725 | − | 69.7429i | 0.235654 | − | 0.128677i | ||||
\(543\) | −1691.19 | + | 630.780i | −3.11453 | + | 1.16166i | ||||
\(544\) | −68.5540 | + | 106.672i | −0.126018 | + | 0.196089i | ||||
\(545\) | 142.384 | − | 551.703i | 0.261255 | − | 1.01230i | ||||
\(546\) | −90.7026 | + | 630.850i | −0.166122 | + | 1.15540i | ||||
\(547\) | −452.817 | − | 168.892i | −0.827820 | − | 0.308761i | −0.100394 | − | 0.994948i | \(-0.532010\pi\) |
−0.727425 | + | 0.686187i | \(0.759283\pi\) | |||||||
\(548\) | −119.088 | + | 159.082i | −0.217313 | + | 0.290296i | ||||
\(549\) | −1229.93 | − | 1913.81i | −2.24032 | − | 3.48600i | ||||
\(550\) | −339.737 | + | 215.781i | −0.617704 | + | 0.392329i | ||||
\(551\) | 95.9133 | 0.174071 | ||||||||
\(552\) | −261.751 | + | 246.581i | −0.474187 | + | 0.446704i | ||||
\(553\) | 158.075 | + | 158.075i | 0.285851 | + | 0.285851i | ||||
\(554\) | 10.2350 | + | 8.86869i | 0.0184748 | + | 0.0160085i | ||||
\(555\) | 246.375 | − | 8.14063i | 0.443919 | − | 0.0146678i | ||||
\(556\) | −70.7797 | − | 492.284i | −0.127302 | − | 0.885402i | ||||
\(557\) | −572.999 | − | 213.718i | −1.02872 | − | 0.383694i | −0.222266 | − | 0.974986i | \(-0.571345\pi\) |
−0.806458 | + | 0.591292i | \(0.798618\pi\) | |||||||
\(558\) | 745.228 | − | 557.871i | 1.33553 | − | 0.999768i | ||||
\(559\) | 159.628 | + | 543.643i | 0.285560 | + | 0.972528i | ||||
\(560\) | −73.4038 | − | 24.6491i | −0.131078 | − | 0.0440162i | ||||
\(561\) | 585.954 | − | 1283.06i | 1.04448 | − | 2.28710i | ||||
\(562\) | 375.362 | − | 204.963i | 0.667904 | − | 0.364703i | ||||
\(563\) | 29.3526 | − | 410.403i | 0.0521361 | − | 0.728957i | −0.902407 | − | 0.430885i | \(-0.858202\pi\) |
0.954543 | − | 0.298073i | \(-0.0963438\pi\) | |||||||
\(564\) | 117.830 | − | 102.100i | 0.208919 | − | 0.181029i | ||||
\(565\) | −18.6370 | + | 485.476i | −0.0329858 | + | 0.859249i | ||||
\(566\) | −118.567 | + | 259.627i | −0.209483 | + | 0.458704i | ||||
\(567\) | 717.575 | − | 156.099i | 1.26556 | − | 0.275307i | ||||
\(568\) | −170.997 | − | 93.3712i | −0.301050 | − | 0.164386i | ||||
\(569\) | −998.061 | − | 143.499i | −1.75406 | − | 0.252196i | −0.811055 | − | 0.584970i | \(-0.801106\pi\) |
−0.943006 | + | 0.332774i | \(0.892015\pi\) | |||||||
\(570\) | −75.0898 | − | 8.27588i | −0.131736 | − | 0.0145191i | ||||
\(571\) | −65.0205 | − | 452.227i | −0.113871 | − | 0.791992i | −0.964093 | − | 0.265566i | \(-0.914441\pi\) |
0.850221 | − | 0.526425i | \(-0.176468\pi\) | |||||||
\(572\) | −101.909 | + | 468.470i | −0.178163 | + | 0.819003i | ||||
\(573\) | 993.626 | − | 71.0655i | 1.73408 | − | 0.124024i | ||||
\(574\) | − | 69.7273i | − | 0.121476i | ||||||
\(575\) | 293.665 | + | 494.354i | 0.510721 | + | 0.859747i | ||||
\(576\) | −172.453 | −0.299398 | ||||||||
\(577\) | 41.0900 | + | 574.513i | 0.0712131 | + | 0.995689i | 0.899934 | + | 0.436027i | \(0.143615\pi\) |
−0.828721 | + | 0.559662i | \(0.810931\pi\) | |||||||
\(578\) | −294.974 | − | 64.1678i | −0.510336 | − | 0.111017i | ||||
\(579\) | 16.8028 | − | 2.41587i | 0.0290203 | − | 0.00417249i | ||||
\(580\) | 54.3657 | − | 493.278i | 0.0937340 | − | 0.850480i | ||||
\(581\) | 52.5526 | − | 365.511i | 0.0904520 | − | 0.629107i | ||||
\(582\) | 146.095 | − | 267.554i | 0.251023 | − | 0.459714i | ||||
\(583\) | −40.8321 | − | 187.702i | −0.0700379 | − | 0.321959i | ||||
\(584\) | 356.161 | + | 162.653i | 0.609865 | + | 0.278516i | ||||
\(585\) | 2268.00 | + | 87.0664i | 3.87692 | + | 0.148831i | ||||
\(586\) | −353.825 | − | 408.336i | −0.603797 | − | 0.696818i | ||||
\(587\) | −72.1189 | − | 5.15805i | −0.122860 | − | 0.00878713i | 0.00977370 | − | 0.999952i | \(-0.496889\pi\) |
−0.132634 | + | 0.991165i | \(0.542343\pi\) | |||||||
\(588\) | −180.202 | − | 330.016i | −0.306466 | − | 0.561251i | ||||
\(589\) | 53.6835 | + | 24.5164i | 0.0911434 | + | 0.0416238i | ||||
\(590\) | −33.4902 | + | 99.7323i | −0.0567630 | + | 0.169038i | ||||
\(591\) | 1294.52 | − | 380.106i | 2.19039 | − | 0.643157i | ||||
\(592\) | 21.3796 | + | 28.5598i | 0.0361142 | + | 0.0482429i | ||||
\(593\) | −137.847 | + | 369.581i | −0.232456 | + | 0.623240i | −0.999839 | − | 0.0179499i | \(-0.994286\pi\) |
0.767382 | + | 0.641190i | \(0.221559\pi\) | |||||||
\(594\) | 1106.06 | − | 159.027i | 1.86205 | − | 0.267722i | ||||
\(595\) | −14.3296 | − | 433.683i | −0.0240833 | − | 0.728878i | ||||
\(596\) | −30.9439 | + | 35.7111i | −0.0519192 | + | 0.0599180i | ||||
\(597\) | −95.2101 | + | 95.2101i | −0.159481 | + | 0.159481i | ||||
\(598\) | 664.649 | + | 165.496i | 1.11145 | + | 0.276749i | ||||
\(599\) | 894.523i | 1.49336i | 0.665183 | + | 0.746680i | \(0.268354\pi\) | ||||
−0.665183 | + | 0.746680i | \(0.731646\pi\) | |||||||
\(600\) | −85.1250 | + | 381.493i | −0.141875 | + | 0.635822i | ||||
\(601\) | −573.339 | + | 368.463i | −0.953976 | + | 0.613083i | −0.922325 | − | 0.386416i | \(-0.873713\pi\) |
−0.0316511 | + | 0.999499i | \(0.510077\pi\) | |||||||
\(602\) | 117.937 | + | 88.2863i | 0.195908 | + | 0.146655i | ||||
\(603\) | 305.664 | − | 819.518i | 0.506906 | − | 1.35907i | ||||
\(604\) | −437.612 | − | 62.9191i | −0.724523 | − | 0.104171i | ||||
\(605\) | 41.5698 | + | 10.7284i | 0.0687105 | + | 0.0177329i | ||||
\(606\) | 837.151 | + | 538.004i | 1.38144 | + | 0.887796i | ||||
\(607\) | 250.450 | + | 671.483i | 0.412603 | + | 1.10623i | 0.962567 | + | 0.271044i | \(0.0873688\pi\) |
−0.549964 | + | 0.835189i | \(0.685358\pi\) | |||||||
\(608\) | −5.23964 | − | 9.59568i | −0.00861783 | − | 0.0157824i | ||||
\(609\) | −802.665 | + | 695.513i | −1.31800 | + | 1.14206i | ||||
\(610\) | −611.836 | − | 427.231i | −1.00301 | − | 0.700379i | ||||
\(611\) | −284.938 | − | 83.6652i | −0.466346 | − | 0.136932i | ||||
\(612\) | −337.725 | − | 905.475i | −0.551837 | − | 1.47953i | ||||
\(613\) | 117.387 | + | 539.617i | 0.191495 | + | 0.880289i | 0.968152 | + | 0.250365i | \(0.0805506\pi\) |
−0.776656 | + | 0.629925i | \(0.783086\pi\) | |||||||
\(614\) | 26.0157 | + | 88.6014i | 0.0423709 | + | 0.144302i | ||||
\(615\) | −350.065 | + | 36.6905i | −0.569211 | + | 0.0596594i | ||||
\(616\) | 51.7841 | + | 113.391i | 0.0840651 | + | 0.184077i | ||||
\(617\) | 382.474 | + | 286.317i | 0.619893 | + | 0.464046i | 0.862485 | − | 0.506082i | \(-0.168907\pi\) |
−0.242592 | + | 0.970128i | \(0.577998\pi\) | |||||||
\(618\) | 438.883 | + | 95.4731i | 0.710166 | + | 0.154487i | ||||
\(619\) | −661.052 | − | 572.805i | −1.06794 | − | 0.925372i | −0.0705413 | − | 0.997509i | \(-0.522473\pi\) |
−0.997395 | + | 0.0721371i | \(0.977018\pi\) | |||||||
\(620\) | 156.516 | − | 262.195i | 0.252445 | − | 0.422896i | ||||
\(621\) | −179.959 | − | 1586.27i | −0.289788 | − | 2.55438i | ||||
\(622\) | 423.350 | − | 423.350i | 0.680627 | − | 0.680627i | ||||
\(623\) | 50.3305 | − | 3.59971i | 0.0807873 | − | 0.00577802i | ||||
\(624\) | 251.729 | + | 391.698i | 0.403412 | + | 0.627721i | ||||
\(625\) | 565.714 | + | 265.692i | 0.905143 | + | 0.425107i | ||||
\(626\) | −111.877 | − | 244.976i | −0.178717 | − | 0.391336i | ||||
\(627\) | 72.8829 | + | 97.3601i | 0.116241 | + | 0.155279i | ||||
\(628\) | 83.8971 | + | 45.8113i | 0.133594 | + | 0.0729479i | ||||
\(629\) | −108.086 | + | 168.185i | −0.171838 | + | 0.267385i | ||||
\(630\) | 485.651 | − | 335.275i | 0.770874 | − | 0.532182i | ||||
\(631\) | −1054.50 | − | 309.629i | −1.67116 | − | 0.490696i | −0.697095 | − | 0.716979i | \(-0.745524\pi\) |
−0.974062 | + | 0.226283i | \(0.927343\pi\) | |||||||
\(632\) | 162.902 | + | 11.6510i | 0.257757 | + | 0.0184351i | ||||
\(633\) | −126.503 | + | 1768.74i | −0.199846 | + | 2.79422i | ||||
\(634\) | −51.9557 | + | 176.945i | −0.0819490 | + | 0.279093i | ||||
\(635\) | 142.085 | − | 775.665i | 0.223756 | − | 1.22152i | ||||
\(636\) | −156.942 | − | 100.861i | −0.246764 | − | 0.158586i | ||||
\(637\) | −343.233 | + | 628.585i | −0.538828 | + | 0.986790i | ||||
\(638\) | −639.576 | + | 478.781i | −1.00247 | + | 0.750440i | ||||
\(639\) | 1350.68 | − | 616.836i | 2.11374 | − | 0.965315i | ||||
\(640\) | −52.3201 | + | 21.5082i | −0.0817502 | + | 0.0336066i | ||||
\(641\) | −478.161 | + | 307.295i | −0.745961 | + | 0.479400i | −0.857580 | − | 0.514351i | \(-0.828033\pi\) |
0.111619 | + | 0.993751i | \(0.464396\pi\) | |||||||
\(642\) | −52.0744 | − | 728.095i | −0.0811128 | − | 1.13411i | ||||
\(643\) | 163.557 | + | 163.557i | 0.254366 | + | 0.254366i | 0.822758 | − | 0.568392i | \(-0.192434\pi\) |
−0.568392 | + | 0.822758i | \(0.692434\pi\) | |||||||
\(644\) | 164.134 | − | 69.1172i | 0.254867 | − | 0.107325i | ||||
\(645\) | 381.181 | − | 638.555i | 0.590979 | − | 0.990008i | ||||
\(646\) | 40.1216 | − | 46.3028i | 0.0621077 | − | 0.0716762i | ||||
\(647\) | −4.60265 | + | 21.1580i | −0.00711383 | + | 0.0327017i | −0.980567 | − | 0.196185i | \(-0.937145\pi\) |
0.973453 | + | 0.228886i | \(0.0735084\pi\) | |||||||
\(648\) | 321.507 | − | 429.483i | 0.496153 | − | 0.662783i | ||||
\(649\) | 154.063 | − | 70.3580i | 0.237385 | − | 0.108410i | ||||
\(650\) | 698.942 | − | 256.448i | 1.07530 | − | 0.394536i | ||||
\(651\) | −627.038 | + | 184.115i | −0.963192 | + | 0.282819i | ||||
\(652\) | 6.73220 | − | 1.46450i | 0.0103255 | − | 0.00224617i | ||||
\(653\) | −147.088 | + | 54.8609i | −0.225249 | + | 0.0840136i | −0.459555 | − | 0.888149i | \(-0.651991\pi\) |
0.234306 | + | 0.972163i | \(0.424718\pi\) | |||||||
\(654\) | −250.982 | + | 854.765i | −0.383764 | + | 1.30698i | ||||
\(655\) | 26.3964 | + | 148.575i | 0.0402998 | + | 0.226832i | ||||
\(656\) | −33.3585 | − | 38.4978i | −0.0508514 | − | 0.0586857i | ||||
\(657\) | −2619.10 | + | 1430.14i | −3.98645 | + | 2.17677i | ||||
\(658\) | −72.3464 | + | 26.9838i | −0.109949 | + | 0.0410088i | ||||
\(659\) | 590.898 | − | 919.455i | 0.896658 | − | 1.39523i | −0.0218228 | − | 0.999762i | \(-0.506947\pi\) |
0.918481 | − | 0.395465i | \(-0.129417\pi\) | |||||||
\(660\) | 542.031 | − | 319.648i | 0.821259 | − | 0.484315i | ||||
\(661\) | −34.1898 | + | 237.795i | −0.0517244 | + | 0.359751i | 0.947478 | + | 0.319821i | \(0.103623\pi\) |
−0.999202 | + | 0.0399303i | \(0.987286\pi\) | |||||||
\(662\) | 300.024 | + | 111.903i | 0.453208 | + | 0.169038i | ||||
\(663\) | −1563.66 | + | 2088.80i | −2.35846 | + | 3.15053i | ||||
\(664\) | −145.851 | − | 226.948i | −0.219654 | − | 0.341789i | ||||
\(665\) | 33.4110 | + | 16.8361i | 0.0502421 | + | 0.0253174i | ||||
\(666\) | −271.898 | −0.408256 | ||||||||
\(667\) | 656.460 | + | 933.744i | 0.984198 | + | 1.39992i | ||||
\(668\) | 238.758 | + | 238.758i | 0.357423 | + | 0.357423i | ||||
\(669\) | 270.995 | + | 234.819i | 0.405075 | + | 0.351000i | ||||
\(670\) | −9.47482 | − | 286.754i | −0.0141415 | − | 0.427991i | ||||
\(671\) | 170.971 | + | 1189.13i | 0.254800 | + | 1.77217i | ||||
\(672\) | 113.432 | + | 42.3078i | 0.168797 | + | 0.0629580i | ||||
\(673\) | 41.1748 | − | 30.8231i | 0.0611809 | − | 0.0457995i | −0.568250 | − | 0.822856i | \(-0.692379\pi\) |
0.629430 | + | 0.777057i | \(0.283288\pi\) | |||||||
\(674\) | 266.055 | + | 906.099i | 0.394740 | + | 1.34436i | ||||
\(675\) | −1129.34 | − | 1317.47i | −1.67309 | − | 1.95181i | ||||
\(676\) | 228.004 | − | 499.258i | 0.337284 | − | 0.738548i | ||||
\(677\) | 169.277 | − | 92.4321i | 0.250040 | − | 0.136532i | −0.349342 | − | 0.936995i | \(-0.613595\pi\) |
0.599382 | + | 0.800463i | \(0.295413\pi\) | |||||||
\(678\) | 54.1892 | − | 757.664i | 0.0799251 | − | 1.11750i | ||||
\(679\) | −114.097 | + | 98.8658i | −0.168037 | + | 0.145605i | ||||
\(680\) | −215.392 | − | 232.589i | −0.316752 | − | 0.342043i | ||||
\(681\) | 591.153 | − | 1294.45i | 0.868067 | − | 1.90080i | ||||
\(682\) | −480.357 | + | 104.495i | −0.704336 | + | 0.153219i | ||||
\(683\) | −492.969 | − | 269.181i | −0.721770 | − | 0.394116i | 0.0759760 | − | 0.997110i | \(-0.475793\pi\) |
−0.797746 | + | 0.602993i | \(0.793975\pi\) | |||||||
\(684\) | 82.4770 | + | 11.8584i | 0.120580 | + | 0.0173368i | ||||
\(685\) | −310.690 | − | 387.657i | −0.453562 | − | 0.565923i | ||||
\(686\) | 64.6829 | + | 449.879i | 0.0942899 | + | 0.655801i | ||||
\(687\) | 492.091 | − | 2262.11i | 0.716290 | − | 3.29273i | ||||
\(688\) | 107.353 | − | 7.67801i | 0.156036 | − | 0.0111599i | ||||
\(689\) | 355.338i | 0.515730i | ||||||||
\(690\) | −433.369 | − | 787.664i | −0.628071 | − | 1.14154i | ||||
\(691\) | 729.215 | 1.05530 | 0.527652 | − | 0.849461i | \(-0.323072\pi\) | ||||
0.527652 | + | 0.849461i | \(0.323072\pi\) | |||||||
\(692\) | −6.63998 | − | 92.8391i | −0.00959535 | − | 0.134161i | ||||
\(693\) | −928.346 | − | 201.949i | −1.33961 | − | 0.291413i | ||||
\(694\) | 54.2275 | − | 7.79674i | 0.0781376 | − | 0.0112345i | ||||
\(695\) | 1235.88 | + | 136.210i | 1.77825 | + | 0.195986i | ||||
\(696\) | −110.424 | + | 768.013i | −0.158655 | + | 1.10347i | ||||
\(697\) | 136.807 | − | 250.544i | 0.196280 | − | 0.359460i | ||||
\(698\) | 48.6799 | + | 223.778i | 0.0697420 | + | 0.320599i | ||||
\(699\) | −7.69883 | − | 3.51594i | −0.0110141 | − | 0.00502996i | ||||
\(700\) | 105.525 | − | 162.288i | 0.150750 | − | 0.231840i | ||||
\(701\) | −276.810 | − | 319.456i | −0.394879 | − | 0.455714i | 0.523143 | − | 0.852245i | \(-0.324759\pi\) |
−0.918021 | + | 0.396531i | \(0.870214\pi\) | |||||||
\(702\) | −2061.79 | − | 147.462i | −2.93702 | − | 0.210060i | ||||
\(703\) | −8.26109 | − | 15.1291i | −0.0117512 | − | 0.0215207i | ||||
\(704\) | 82.8391 | + | 37.8314i | 0.117669 | + | 0.0537377i | ||||
\(705\) | 173.541 | + | 349.015i | 0.246157 | + | 0.495057i | ||||
\(706\) | −159.865 | + | 46.9405i | −0.226437 | + | 0.0664880i | ||||
\(707\) | −295.343 | − | 394.532i | −0.417742 | − | 0.558037i | ||||
\(708\) | 57.4827 | − | 154.117i | 0.0811903 | − | 0.217680i | ||||
\(709\) | 798.393 | − | 114.792i | 1.12608 | − | 0.161906i | 0.445994 | − | 0.895036i | \(-0.352850\pi\) |
0.680089 | + | 0.733129i | \(0.261941\pi\) | |||||||
\(710\) | 332.849 | − | 355.597i | 0.468802 | − | 0.500841i | ||||
\(711\) | −815.116 | + | 940.694i | −1.14644 | + | 1.32306i | ||||
\(712\) | 26.0663 | − | 26.0663i | 0.0366100 | − | 0.0366100i | ||||
\(713\) | 128.751 | + | 690.422i | 0.180577 | + | 0.968333i | ||||
\(714\) | 678.433i | 0.950186i | ||||||||
\(715\) | −1070.35 | − | 539.358i | −1.49699 | − | 0.754348i | ||||
\(716\) | −126.663 | + | 81.4016i | −0.176904 | + | 0.113689i | ||||
\(717\) | 339.087 | + | 253.837i | 0.472924 | + | 0.354027i | ||||
\(718\) | −102.777 | + | 275.555i | −0.143143 | + | 0.383782i | ||||
\(719\) | 1281.79 | + | 184.293i | 1.78273 | + | 0.256318i | 0.953244 | − | 0.302202i | \(-0.0977219\pi\) |
0.829490 | + | 0.558521i | \(0.188631\pi\) | |||||||
\(720\) | 107.737 | − | 417.454i | 0.149635 | − | 0.579797i | ||||
\(721\) | −187.127 | − | 120.260i | −0.259539 | − | 0.166795i | ||||
\(722\) | −176.566 | − | 473.392i | −0.244552 | − | 0.655668i | ||||
\(723\) | 939.439 | + | 1720.45i | 1.29936 | + | 2.37960i | ||||
\(724\) | 493.549 | − | 427.663i | 0.681698 | − | 0.590695i | ||||
\(725\) | 1160.11 | + | 439.769i | 1.60015 | + | 0.606578i | ||||
\(726\) | −64.4050 | − | 18.9110i | −0.0887121 | − | 0.0260482i | ||||
\(727\) | −335.622 | − | 899.838i | −0.461654 | − | 1.23774i | −0.934299 | − | 0.356489i | \(-0.883974\pi\) |
0.472646 | − | 0.881253i | \(-0.343299\pi\) | |||||||
\(728\) | −49.0161 | − | 225.324i | −0.0673299 | − | 0.309510i | ||||
\(729\) | 179.079 | + | 609.885i | 0.245650 | + | 0.836605i | ||||
\(730\) | −616.237 | + | 760.538i | −0.844161 | + | 1.04183i | ||||
\(731\) | 250.549 | + | 548.625i | 0.342748 | + | 0.750513i | ||||
\(732\) | 934.025 | + | 699.202i | 1.27599 | + | 0.955194i | ||||
\(733\) | −399.137 | − | 86.8269i | −0.544525 | − | 0.118454i | −0.0681150 | − | 0.997677i | \(-0.521698\pi\) |
−0.476410 | + | 0.879223i | \(0.658062\pi\) | |||||||
\(734\) | −601.397 | − | 521.113i | −0.819342 | − | 0.709964i | ||||
\(735\) | 911.442 | − | 230.041i | 1.24006 | − | 0.312981i | ||||
\(736\) | 57.5551 | − | 116.685i | 0.0781998 | − | 0.158540i | ||||
\(737\) | −326.608 | + | 326.608i | −0.443158 | + | 0.443158i | ||||
\(738\) | 387.245 | − | 27.6963i | 0.524722 | − | 0.0375289i | ||||
\(739\) | −469.242 | − | 730.155i | −0.634969 | − | 0.988031i | −0.998408 | − | 0.0564129i | \(-0.982034\pi\) |
0.363438 | − | 0.931618i | \(-0.381603\pi\) | |||||||
\(740\) | −82.4907 | + | 33.9110i | −0.111474 | + | 0.0458256i | ||||
\(741\) | −93.4570 | − | 204.642i | −0.126123 | − | 0.276170i | ||||
\(742\) | 55.3685 | + | 73.9636i | 0.0746206 | + | 0.0996815i | ||||
\(743\) | −593.151 | − | 323.885i | −0.798320 | − | 0.435915i | 0.0276587 | − | 0.999617i | \(-0.491195\pi\) |
−0.825978 | + | 0.563702i | \(0.809377\pi\) | |||||||
\(744\) | −258.117 | + | 401.638i | −0.346931 | + | 0.539835i | ||||
\(745\) | −67.1137 | − | 97.2152i | −0.0900855 | − | 0.130490i | ||||
\(746\) | 424.125 | + | 124.534i | 0.568532 | + | 0.166936i | ||||
\(747\) | 2050.82 | + | 146.677i | 2.74540 | + | 0.196355i | ||||
\(748\) | −36.4072 | + | 509.039i | −0.0486727 | + | 0.680533i | ||||
\(749\) | −101.849 | + | 346.865i | −0.135980 | + | 0.463104i | ||||
\(750\) | −870.293 | − | 444.392i | −1.16039 | − | 0.592522i | ||||
\(751\) | 64.6339 | + | 41.5377i | 0.0860638 | + | 0.0553098i | 0.582965 | − | 0.812497i | \(-0.301892\pi\) |
−0.496901 | + | 0.867807i | \(0.665529\pi\) | |||||||
\(752\) | −27.0344 | + | 49.5099i | −0.0359500 | + | 0.0658376i | ||||
\(753\) | 744.142 | − | 557.058i | 0.988237 | − | 0.739785i | ||||
\(754\) | 1344.33 | − | 613.936i | 1.78293 | − | 0.814239i | ||||
\(755\) | 425.698 | − | 1020.01i | 0.563838 | − | 1.35101i | ||||
\(756\) | −452.139 | + | 290.572i | −0.598068 | + | 0.384355i | ||||
\(757\) | 0.235016 | + | 3.28595i | 0.000310457 | + | 0.00434075i | 0.997605 | − | 0.0691686i | \(-0.0220347\pi\) |
−0.997295 | + | 0.0735094i | \(0.976580\pi\) | |||||||
\(758\) | −633.702 | − | 633.702i | −0.836019 | − | 0.836019i | ||||
\(759\) | −448.997 | + | 1375.90i | −0.591563 | + | 1.81278i | ||||
\(760\) | 26.5015 | − | 6.68877i | 0.0348704 | − | 0.00880102i | ||||
\(761\) | −178.186 | + | 205.638i | −0.234147 | + | 0.270220i | −0.860648 | − | 0.509201i | \(-0.829941\pi\) |
0.626501 | + | 0.779421i | \(0.284487\pi\) | |||||||
\(762\) | −262.078 | + | 1204.75i | −0.343935 | + | 1.58104i | ||||
\(763\) | 264.396 | − | 353.192i | 0.346522 | − | 0.462899i | ||||
\(764\) | −327.849 | + | 149.724i | −0.429122 | + | 0.195973i | ||||
\(765\) | 2402.85 | − | 251.845i | 3.14099 | − | 0.329209i | ||||
\(766\) | −634.538 | + | 186.317i | −0.828379 | + | 0.243234i | ||||
\(767\) | −306.143 | + | 66.5972i | −0.399143 | + | 0.0868282i | ||||
\(768\) | 82.8684 | − | 30.9083i | 0.107902 | − | 0.0402452i | ||||
\(769\) | −104.376 | + | 355.473i | −0.135730 | + | 0.462254i | −0.999105 | − | 0.0423098i | \(-0.986528\pi\) |
0.863375 | + | 0.504563i | \(0.168347\pi\) | |||||||
\(770\) | −306.836 | + | 54.5137i | −0.398488 | + | 0.0707970i | ||||
\(771\) | −157.016 | − | 181.206i | −0.203652 | − | 0.235027i | ||||
\(772\) | −5.39060 | + | 2.94349i | −0.00698264 | + | 0.00381281i | ||||
\(773\) | −1347.88 | + | 502.732i | −1.74369 | + | 0.650364i | −0.999838 | − | 0.0179753i | \(-0.994278\pi\) |
−0.743856 | + | 0.668340i | \(0.767005\pi\) | |||||||
\(774\) | −443.471 | + | 690.054i | −0.572960 | + | 0.891542i | ||||
\(775\) | 536.912 | + | 542.678i | 0.692789 | + | 0.700229i | ||||
\(776\) | −15.6965 | + | 109.171i | −0.0202274 | + | 0.140685i | ||||
\(777\) | 178.842 | + | 66.7047i | 0.230170 | + | 0.0858490i | ||||
\(778\) | 212.890 | − | 284.387i | 0.273637 | − | 0.365537i | ||||
\(779\) | 13.3068 | + | 20.7057i | 0.0170818 | + | 0.0265799i | ||||
\(780\) | −1105.44 | + | 364.650i | −1.41723 | + | 0.467500i | ||||
\(781\) | −784.127 | −1.00400 | ||||||||
\(782\) | 725.375 | + | 73.6851i | 0.927590 | + | 0.0942264i | ||||
\(783\) | −2435.70 | − | 2435.70i | −3.11073 | − | 3.11073i | ||||
\(784\) | 102.814 | + | 89.0892i | 0.131141 | + | 0.113634i | ||||
\(785\) | −163.308 | + | 174.468i | −0.208035 | + | 0.222253i | ||||
\(786\) | −33.5770 | − | 233.533i | −0.0427188 | − | 0.297116i | ||||
\(787\) | 783.643 | + | 292.284i | 0.995734 | + | 0.371390i | 0.793912 | − | 0.608033i | \(-0.208041\pi\) |
0.201822 | + | 0.979422i | \(0.435314\pi\) | |||||||
\(788\) | −390.777 | + | 292.532i | −0.495909 | + | 0.371233i | ||||
\(789\) | −319.500 | − | 1088.12i | −0.404943 | − | 1.37911i | ||||
\(790\) | −129.974 | + | 387.056i | −0.164524 | + | 0.489944i | ||||
\(791\) | −156.275 | + | 342.194i | −0.197566 | + | 0.432610i | ||||
\(792\) | −609.174 | + | 332.634i | −0.769159 | + | 0.419992i | ||||
\(793\) | 158.538 | − | 2216.64i | 0.199921 | − | 2.79526i | ||||
\(794\) | 456.392 | − | 395.466i | 0.574802 | − | 0.498068i | ||||
\(795\) | 342.198 | − | 316.896i | 0.430438 | − | 0.398612i | ||||
\(796\) | 20.2375 | − | 44.3140i | 0.0254240 | − | 0.0556709i | ||||
\(797\) | −1119.12 | + | 243.450i | −1.40417 | + | 0.305458i | −0.849927 | − | 0.526900i | \(-0.823354\pi\) |
−0.554239 | + | 0.832358i | \(0.686991\pi\) | |||||||
\(798\) | −51.3403 | − | 28.0339i | −0.0643362 | − | 0.0351302i | ||||
\(799\) | −312.898 | − | 44.9879i | −0.391611 | − | 0.0563052i | ||||
\(800\) | −19.3785 | − | 140.087i | −0.0242231 | − | 0.175109i | ||||
\(801\) | 39.9834 | + | 278.091i | 0.0499169 | + | 0.347180i | ||||
\(802\) | −214.716 | + | 987.033i | −0.267726 | + | 1.23071i | ||||
\(803\) | 1571.84 | − | 112.420i | 1.95746 | − | 0.140000i | ||||
\(804\) | 448.584i | 0.557941i | ||||||||
\(805\) | 64.7709 | + | 440.497i | 0.0804607 | + | 0.547201i | ||||
\(806\) | 909.362 | 1.12824 | ||||||||
\(807\) | 123.510 | + | 1726.90i | 0.153048 | + | 2.13990i | ||||
\(808\) | −351.815 | − | 76.5326i | −0.435414 | − | 0.0947186i | ||||
\(809\) | −493.537 | + | 70.9598i | −0.610058 | + | 0.0877130i | −0.440418 | − | 0.897793i | \(-0.645170\pi\) |
−0.169640 | + | 0.985506i | \(0.554260\pi\) | |||||||
\(810\) | 838.788 | + | 1046.58i | 1.03554 | + | 1.29207i | ||||
\(811\) | 167.783 | − | 1166.96i | 0.206884 | − | 1.43891i | −0.576359 | − | 0.817197i | \(-0.695527\pi\) |
0.783243 | − | 0.621716i | \(-0.213564\pi\) | |||||||
\(812\) | 184.160 | − | 337.264i | 0.226798 | − | 0.415349i | ||||
\(813\) | −120.912 | − | 555.823i | −0.148723 | − | 0.683669i | ||||
\(814\) | 130.609 | + | 59.6469i | 0.160453 | + | 0.0732763i | ||||
\(815\) | −0.660732 | + | 17.2114i | −0.000810714 | + | 0.0211183i | ||||
\(816\) | 324.572 | + | 374.576i | 0.397760 | + | 0.459039i | ||||
\(817\) | −51.8701 | − | 3.70983i | −0.0634886 | − | 0.00454079i | ||||
\(818\) | 246.285 | + | 451.038i | 0.301082 | + | 0.551391i | ||||
\(819\) | 1598.63 | + | 730.070i | 1.95193 | + | 0.891417i | ||||
\(820\) | 114.031 | − | 56.6997i | 0.139062 | − | 0.0691459i | ||||
\(821\) | 857.050 | − | 251.652i | 1.04391 | − | 0.306519i | 0.285555 | − | 0.958362i | \(-0.407822\pi\) |
0.758354 | + | 0.651843i | \(0.226004\pi\) | |||||||
\(822\) | 465.483 | + | 621.813i | 0.566281 | + | 0.756463i | ||||
\(823\) | −153.068 | + | 410.392i | −0.185988 | + | 0.498654i | −0.996161 | − | 0.0875369i | \(-0.972100\pi\) |
0.810173 | + | 0.586191i | \(0.199373\pi\) | |||||||
\(824\) | −160.851 | + | 23.1268i | −0.195207 | + | 0.0280665i | ||||
\(825\) | 435.142 | + | 1511.78i | 0.527445 | + | 1.83246i | ||||
\(826\) | −53.3465 | + | 61.5651i | −0.0645841 | + | 0.0745340i | ||||
\(827\) | −676.950 | + | 676.950i | −0.818561 | + | 0.818561i | −0.985899 | − | 0.167339i | \(-0.946483\pi\) |
0.167339 | + | 0.985899i | \(0.446483\pi\) | |||||||
\(828\) | 449.052 | + | 884.099i | 0.542334 | + | 1.06775i | ||||
\(829\) | 841.928i | 1.01559i | 0.861477 | + | 0.507797i | \(0.169540\pi\) | ||||
−0.861477 | + | 0.507797i | \(0.830460\pi\) | |||||||
\(830\) | 640.487 | − | 211.276i | 0.771671 | − | 0.254550i | ||||
\(831\) | 44.5323 | − | 28.6192i | 0.0535888 | − | 0.0344394i | ||||
\(832\) | −134.861 | − | 100.956i | −0.162092 | − | 0.121341i | ||||
\(833\) | −266.421 | + | 714.302i | −0.319833 | + | 0.857505i | ||||
\(834\) | −1924.21 | − | 276.660i | −2.30721 | − | 0.331727i | ||||
\(835\) | −727.118 | + | 428.798i | −0.870800 | + | 0.513531i | ||||
\(836\) | −37.0170 | − | 23.7894i | −0.0442788 | − | 0.0284562i | ||||
\(837\) | −740.692 | − | 1985.87i | −0.884937 | − | 2.37261i | ||||
\(838\) | 136.209 | + | 249.449i | 0.162541 | + | 0.297672i | ||||
\(839\) | −510.781 | + | 442.594i | −0.608797 | + | 0.527526i | −0.903791 | − | 0.427973i | \(-0.859228\pi\) |
0.294994 | + | 0.955499i | \(0.404682\pi\) | |||||||
\(840\) | −173.278 | + | 248.151i | −0.206283 | + | 0.295418i | ||||
\(841\) | 1556.10 | + | 456.912i | 1.85030 | + | 0.543296i | ||||
\(842\) | 87.4872 | + | 234.562i | 0.103904 | + | 0.278578i | ||||
\(843\) | −355.340 | − | 1633.47i | −0.421519 | − | 1.93769i | ||||
\(844\) | −180.753 | − | 615.589i | −0.214163 | − | 0.729371i | ||||
\(845\) | 1066.11 | + | 863.828i | 1.26166 | + | 1.02228i | ||||
\(846\) | −178.597 | − | 391.073i | −0.211107 | − | 0.462261i | ||||
\(847\) | 26.6124 | + | 19.9218i | 0.0314196 | + | 0.0235204i | ||||
\(848\) | 65.9553 | + | 14.3477i | 0.0777775 | + | 0.0169195i | ||||
\(849\) | 843.139 | + | 730.584i | 0.993096 | + | 0.860523i | ||||
\(850\) | 697.587 | − | 376.089i | 0.820691 | − | 0.442458i | ||||
\(851\) | 90.7443 | − | 183.972i | 0.106633 | − | 0.216183i | ||||
\(852\) | −538.486 | + | 538.486i | −0.632026 | + | 0.632026i | ||||
\(853\) | 798.631 | − | 57.1192i | 0.936261 | − | 0.0669627i | 0.405136 | − | 0.914256i | \(-0.367224\pi\) |
0.531125 | + | 0.847293i | \(0.321769\pi\) | |||||||
\(854\) | −312.396 | − | 486.098i | −0.365803 | − | 0.569201i | ||||
\(855\) | −80.2315 | + | 192.242i | −0.0938380 | + | 0.224845i | ||||
\(856\) | 109.712 | + | 240.237i | 0.128169 | + | 0.280650i | ||||
\(857\) | 272.381 | + | 363.858i | 0.317831 | + | 0.424572i | 0.930797 | − | 0.365537i | \(-0.119115\pi\) |
−0.612966 | + | 0.790109i | \(0.710024\pi\) | |||||||
\(858\) | 1644.73 | + | 898.091i | 1.91694 | + | 1.04673i | ||||
\(859\) | −70.3512 | + | 109.469i | −0.0818990 | + | 0.127437i | −0.879786 | − | 0.475369i | \(-0.842315\pi\) |
0.797887 | + | 0.602806i | \(0.205951\pi\) | |||||||
\(860\) | −48.4806 | + | 264.663i | −0.0563728 | + | 0.307748i | ||||
\(861\) | −261.506 | − | 76.7852i | −0.303724 | − | 0.0891814i | ||||
\(862\) | 135.755 | + | 9.70941i | 0.157489 | + | 0.0112638i | ||||
\(863\) | 97.3529 | − | 1361.17i | 0.112807 | − | 1.57725i | −0.554315 | − | 0.832307i | \(-0.687020\pi\) |
0.667123 | − | 0.744948i | \(-0.267526\pi\) | |||||||
\(864\) | −110.621 | + | 376.740i | −0.128034 | + | 0.436042i | ||||
\(865\) | 228.882 | + | 41.9263i | 0.264604 | + | 0.0484697i | ||||
\(866\) | −133.824 | − | 86.0037i | −0.154532 | − | 0.0993114i | ||||
\(867\) | −565.488 | + | 1035.61i | −0.652235 | + | 1.19448i | ||||
\(868\) | 189.284 | − | 141.696i | 0.218069 | − | 0.163244i | ||||
\(869\) | 597.909 | − | 273.056i | 0.688043 | − | 0.314219i | ||||
\(870\) | −1790.13 | − | 747.103i | −2.05762 | − | 0.858739i | ||||
\(871\) | 718.787 | − | 461.937i | 0.825244 | − | 0.530352i | ||||
\(872\) | −22.9938 | − | 321.495i | −0.0263690 | − | 0.368687i | ||||
\(873\) | −594.392 | − | 594.392i | −0.680861 | − | 0.680861i | ||||
\(874\) | −35.5498 | + | 51.8479i | −0.0406748 | + | 0.0593225i | ||||
\(875\) | 326.924 | + | 356.830i | 0.373627 | + | 0.407806i | ||||
\(876\) | 1002.23 | − | 1156.63i | 1.14410 | − | 1.32036i | ||||
\(877\) | 4.32742 | − | 19.8928i | 0.00493434 | − | 0.0226828i | −0.974614 | − | 0.223892i | \(-0.928124\pi\) |
0.979548 | + | 0.201210i | \(0.0644872\pi\) | |||||||
\(878\) | 378.226 | − | 505.251i | 0.430781 | − | 0.575457i | ||||
\(879\) | −1921.07 | + | 877.322i | −2.18552 | + | 0.998091i | ||||
\(880\) | −143.330 | + | 176.893i | −0.162875 | + | 0.201015i | ||||
\(881\) | −569.055 | + | 167.090i | −0.645919 | + | 0.189659i | −0.588253 | − | 0.808677i | \(-0.700184\pi\) |
−0.0576663 | + | 0.998336i | \(0.518366\pi\) | |||||||
\(882\) | −1013.15 | + | 220.396i | −1.14869 | + | 0.249882i | ||||
\(883\) | 236.892 | − | 88.3562i | 0.268281 | − | 0.100064i | −0.211724 | − | 0.977330i | \(-0.567908\pi\) |
0.480005 | + | 0.877266i | \(0.340635\pi\) | |||||||
\(884\) | 265.967 | − | 905.801i | 0.300868 | − | 1.02466i | ||||
\(885\) | 337.157 | + | 235.429i | 0.380969 | + | 0.266022i | ||||
\(886\) | −110.538 | − | 127.568i | −0.124761 | − | 0.143982i | ||||
\(887\) | 528.570 | − | 288.621i | 0.595907 | − | 0.325390i | −0.152835 | − | 0.988252i | \(-0.548840\pi\) |
0.748742 | + | 0.662862i | \(0.230658\pi\) | |||||||
\(888\) | 130.655 | − | 48.7317i | 0.147134 | − | 0.0548780i | ||||
\(889\) | 330.118 | − | 513.674i | 0.371337 | − | 0.577811i | ||||
\(890\) | 46.8138 | + | 79.3827i | 0.0525998 | + | 0.0891941i | ||||
\(891\) | 307.289 | − | 2137.24i | 0.344882 | − | 2.39870i | ||||
\(892\) | −121.556 | − | 45.3381i | −0.136274 | − | 0.0508275i | ||||
\(893\) | 16.3339 | − | 21.8195i | 0.0182910 | − | 0.0244339i | ||||
\(894\) | 99.8555 | + | 155.378i | 0.111695 | + | 0.173801i | ||||
\(895\) | −117.917 | − | 357.466i | −0.131751 | − | 0.399403i | ||||
\(896\) | −43.8021 | −0.0488863 | ||||||||
\(897\) | 1352.60 | − | 2310.46i | 1.50792 | − | 2.57577i | ||||
\(898\) | 92.3129 | + | 92.3129i | 0.102798 | + | 0.102798i | ||||
\(899\) | 1145.25 | + | 992.368i | 1.27392 | + | 1.10386i | ||||
\(900\) | 943.218 | + | 521.594i | 1.04802 | + | 0.579549i | ||||
\(901\) | 53.8306 | + | 374.400i | 0.0597454 | + | 0.415538i | ||||
\(902\) | −192.092 | − | 71.6466i | −0.212962 | − | 0.0794308i | ||||
\(903\) | 460.985 | − | 345.089i | 0.510504 | − | 0.382158i | ||||
\(904\) | 77.4282 | + | 263.696i | 0.0856507 | + | 0.291699i | ||||
\(905\) | 726.901 | + | 1461.90i | 0.803205 | + | 1.61536i | ||||
\(906\) | −717.880 | + | 1571.94i | −0.792363 | + | 1.73503i | ||||
\(907\) | 1293.10 | − | 706.086i | 1.42569 | − | 0.778486i | 0.433257 | − | 0.901271i | \(-0.357364\pi\) |
0.992433 | + | 0.122785i | \(0.0391826\pi\) | |||||||
\(908\) | −36.7302 | + | 513.555i | −0.0404518 | + | 0.565590i | ||||
\(909\) | 2073.80 | − | 1796.96i | 2.28141 | − | 1.97686i | ||||
\(910\) | 576.059 | + | 22.1144i | 0.633032 | + | 0.0243015i | ||||
\(911\) | −16.9504 | + | 37.1162i | −0.0186064 | + | 0.0407423i | −0.918707 | − | 0.394940i | \(-0.870765\pi\) |
0.900101 | + | 0.435682i | \(0.143493\pi\) | |||||||
\(912\) | −41.7578 | + | 9.08385i | −0.0457871 | + | 0.00996036i | ||||
\(913\) | −952.949 | − | 520.349i | −1.04376 | − | 0.569934i | ||||
\(914\) | 691.565 | + | 99.4321i | 0.756636 | + | 0.108788i | ||||
\(915\) | −2276.06 | + | 1824.16i | −2.48750 | + | 1.99362i | ||||
\(916\) | 119.201 | + | 829.063i | 0.130132 | + | 0.905091i | ||||
\(917\) | −24.8374 | + | 114.176i | −0.0270855 | + | 0.124510i | ||||
\(918\) | −2194.73 | + | 156.970i | −2.39078 | + | 0.170992i | ||||
\(919\) | − | 568.151i | − | 0.618227i | −0.951025 | − | 0.309113i | \(-0.899968\pi\) | ||
0.951025 | − | 0.309113i | \(-0.100032\pi\) | |||||||
\(920\) | 246.501 | + | 212.220i | 0.267936 | + | 0.230673i | ||||
\(921\) | 360.941 | 0.391901 | ||||||||
\(922\) | 44.8939 | + | 627.699i | 0.0486919 | + | 0.680801i | ||||
\(923\) | 1417.36 | + | 308.327i | 1.53560 | + | 0.334049i | ||||
\(924\) | 482.291 | − | 69.3429i | 0.521960 | − | 0.0750465i | ||||
\(925\) | −30.5531 | − | 220.869i | −0.0330304 | − | 0.238777i | ||||
\(926\) | −105.141 | + | 731.274i | −0.113544 | + | 0.789713i | ||||
\(927\) | 593.557 | − | 1087.02i | 0.640299 | − | 1.17262i | ||||
\(928\) | −59.6735 | − | 274.315i | −0.0643033 | − | 0.295598i | ||||
\(929\) | −333.466 | − | 152.289i | −0.358951 | − | 0.163928i | 0.227773 | − | 0.973714i | \(-0.426856\pi\) |
−0.586724 | + | 0.809787i | \(0.699583\pi\) | |||||||
\(930\) | −810.984 | − | 875.735i | −0.872025 | − | 0.941651i | ||||
\(931\) | −43.0458 | − | 49.6775i | −0.0462360 | − | 0.0533592i | ||||
\(932\) | 3.05442 | + | 0.218456i | 0.00327727 | + | 0.000234395i | ||||
\(933\) | −1121.54 | − | 2053.94i | −1.20208 | − | 2.20144i | ||||
\(934\) | 265.074 | + | 121.055i | 0.283805 | + | 0.129609i | ||||
\(935\) | −1209.48 | − | 406.143i | −1.29356 | − | 0.434378i | ||||
\(936\) | 1231.91 | − | 361.722i | 1.31614 | − | 0.386455i | ||||
\(937\) | −248.645 | − | 332.151i | −0.265363 | − | 0.354483i | 0.647992 | − | 0.761647i | \(-0.275609\pi\) |
−0.913355 | + | 0.407164i | \(0.866518\pi\) | |||||||
\(938\) | 77.6370 | − | 208.153i | 0.0827687 | − | 0.221911i | ||||
\(939\) | −1041.96 | + | 149.812i | −1.10965 | + | 0.159544i | ||||
\(940\) | −102.958 | − | 96.3722i | −0.109530 | − | 0.102524i | ||||
\(941\) | −953.900 | + | 1100.86i | −1.01371 | + | 1.16988i | −0.0283135 | + | 0.999599i | \(0.509014\pi\) |
−0.985395 | + | 0.170283i | \(0.945532\pi\) | |||||||
\(942\) | 264.201 | − | 264.201i | 0.280468 | − | 0.280468i | ||||
\(943\) | −110.501 | + | 271.261i | −0.117180 | + | 0.287658i | ||||
\(944\) | 59.5130i | 0.0630434i | ||||||||
\(945\) | −420.917 | − | 1276.02i | −0.445415 | − | 1.35028i | ||||
\(946\) | 364.403 | − | 234.188i | 0.385204 | − | 0.247556i | ||||
\(947\) | −276.704 | − | 207.138i | −0.292191 | − | 0.218731i | 0.443118 | − | 0.896463i | \(-0.353872\pi\) |
−0.735309 | + | 0.677732i | \(0.762963\pi\) | |||||||
\(948\) | 223.087 | − | 598.120i | 0.235324 | − | 0.630929i | ||||
\(949\) | −2885.39 | − | 414.856i | −3.04045 | − | 0.437151i | ||||
\(950\) | −0.364932 | + | 68.3304i | −0.000384139 | + | 0.0719267i | ||||
\(951\) | 606.402 | + | 389.711i | 0.637647 | + | 0.409791i | ||||
\(952\) | −85.7801 | − | 229.985i | −0.0901052 | − | 0.241581i | ||||
\(953\) | 501.171 | + | 917.827i | 0.525888 | + | 0.963092i | 0.996725 | + | 0.0808714i | \(0.0257703\pi\) |
−0.470837 | + | 0.882220i | \(0.656048\pi\) | |||||||
\(954\) | −388.780 | + | 336.879i | −0.407526 | + | 0.353123i | ||||
\(955\) | −157.616 | − | 887.156i | −0.165043 | − | 0.928959i | ||||
\(956\) | −147.044 | − | 43.1759i | −0.153811 | − | 0.0451631i | ||||
\(957\) | 1091.31 | + | 2925.92i | 1.14035 | + | 3.05739i | ||||
\(958\) | −70.6944 | − | 324.977i | −0.0737937 | − | 0.339224i | ||||
\(959\) | −108.376 | − | 369.096i | −0.113010 | − | 0.384876i | ||||
\(960\) | 23.0487 | + | 219.908i | 0.0240090 | + | 0.229070i | ||||
\(961\) | −11.8655 | − | 25.9818i | −0.0123470 | − | 0.0270362i | ||||
\(962\) | −212.629 | − | 159.172i | −0.221028 | − | 0.165459i | ||||
\(963\) | −1966.84 | − | 427.860i | −2.04241 | − | 0.444299i | ||||
\(964\) | −535.997 | − | 464.444i | −0.556014 | − | 0.481789i | ||||
\(965\) | −3.75758 | − | 14.8878i | −0.00389386 | − | 0.0154278i | ||||
\(966\) | −78.4701 | − | 691.685i | −0.0812320 | − | 0.716030i | ||||
\(967\) | −722.895 | + | 722.895i | −0.747565 | + | 0.747565i | −0.974021 | − | 0.226456i | \(-0.927286\pi\) |
0.226456 | + | 0.974021i | \(0.427286\pi\) | |||||||
\(968\) | 24.2241 | − | 1.73254i | 0.0250249 | − | 0.00178981i | ||||
\(969\) | −129.472 | − | 201.462i | −0.133614 | − | 0.207907i | ||||
\(970\) | −254.463 | − | 106.199i | −0.262333 | − | 0.109484i | ||||
\(971\) | 268.436 | + | 587.792i | 0.276453 | + | 0.605348i | 0.996025 | − | 0.0890699i | \(-0.0283894\pi\) |
−0.719572 | + | 0.694417i | \(0.755662\pi\) | |||||||
\(972\) | −507.960 | − | 678.555i | −0.522592 | − | 0.698101i | ||||
\(973\) | 844.995 | + | 461.402i | 0.868443 | + | 0.474206i | ||||
\(974\) | −4.29971 | + | 6.69048i | −0.00441449 | + | 0.00686907i | ||||
\(975\) | −192.098 | − | 2903.73i | −0.197023 | − | 2.97819i | ||||
\(976\) | −405.036 | − | 118.929i | −0.414996 | − | 0.121854i | ||||
\(977\) | −1328.46 | − | 95.0136i | −1.35974 | − | 0.0972503i | −0.627668 | − | 0.778481i | \(-0.715991\pi\) |
−0.732069 | + | 0.681230i | \(0.761445\pi\) | |||||||
\(978\) | 1.92116 | − | 26.8613i | 0.00196437 | − | 0.0274655i | ||||
\(979\) | 41.7990 | − | 142.354i | 0.0426956 | − | 0.145408i | ||||
\(980\) | −279.888 | + | 193.224i | −0.285600 | + | 0.197168i | ||||
\(981\) | 2066.55 | + | 1328.09i | 2.10657 | + | 1.35381i | ||||
\(982\) | −607.098 | + | 1111.82i | −0.618226 | + | 1.13220i | ||||
\(983\) | −1413.26 | + | 1057.95i | −1.43770 | + | 1.07625i | −0.455118 | + | 0.890431i | \(0.650403\pi\) |
−0.982584 | + | 0.185819i | \(0.940506\pi\) | |||||||
\(984\) | −181.118 | + | 82.7138i | −0.184063 | + | 0.0840588i | ||||
\(985\) | −463.996 | − | 1128.70i | −0.471062 | − | 1.14589i | ||||
\(986\) | 1323.44 | − | 850.525i | 1.34223 | − | 0.862601i | ||||
\(987\) | 21.5311 | + | 301.044i | 0.0218147 | + | 0.305010i | ||||
\(988\) | 57.5562 | + | 57.5562i | 0.0582553 | + | 0.0582553i | ||||
\(989\) | −318.899 | − | 530.362i | −0.322446 | − | 0.536261i | ||||
\(990\) | −424.631 | − | 1682.42i | −0.428920 | − | 1.69942i | ||||
\(991\) | −1187.72 | + | 1370.70i | −1.19851 | + | 1.38315i | −0.294487 | + | 0.955656i | \(0.595149\pi\) |
−0.904019 | + | 0.427493i | \(0.859397\pi\) | |||||||
\(992\) | 36.7178 | − | 168.789i | 0.0370139 | − | 0.170150i | ||||
\(993\) | 750.075 | − | 1001.98i | 0.755363 | − | 1.00905i | ||||
\(994\) | 343.066 | − | 156.673i | 0.345137 | − | 0.157619i | ||||
\(995\) | 94.6272 | + | 76.6731i | 0.0951027 | + | 0.0770584i | ||||
\(996\) | −1011.76 | + | 297.080i | −1.01583 | + | 0.298273i | ||||
\(997\) | 174.560 | − | 37.9733i | 0.175086 | − | 0.0380875i | −0.124168 | − | 0.992261i | \(-0.539626\pi\) |
0.299253 | + | 0.954174i | \(0.403262\pi\) | |||||||
\(998\) | 548.345 | − | 204.522i | 0.549444 | − | 0.204932i | ||||
\(999\) | −174.411 | + | 593.989i | −0.174585 | + | 0.594584i |
(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 | 230.3.k.a.223.12 | yes | 240 | |
5.2 | odd | 4 | inner | 230.3.k.a.177.12 | yes | 240 | |
23.13 | even | 11 | inner | 230.3.k.a.13.12 | ✓ | 240 | |
115.82 | odd | 44 | inner | 230.3.k.a.197.12 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.3.k.a.13.12 | ✓ | 240 | 23.13 | even | 11 | inner | |
230.3.k.a.177.12 | yes | 240 | 5.2 | odd | 4 | inner | |
230.3.k.a.197.12 | yes | 240 | 115.82 | odd | 44 | inner | |
230.3.k.a.223.12 | yes | 240 | 1.1 | even | 1 | trivial |