Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,3,Mod(7,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.g (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.07085000914\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.10 | ||
Character | \(\chi\) | \(=\) | 76.11 |
Dual form | 76.3.g.c.7.10 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.789173 | − | 1.83772i | 0.394587 | − | 0.918859i | ||||
\(3\) | −3.65809 | − | 2.11200i | −1.21936 | − | 0.703999i | −0.254581 | − | 0.967051i | \(-0.581938\pi\) |
−0.964782 | + | 0.263052i | \(0.915271\pi\) | |||||||
\(4\) | −2.75441 | − | 2.90055i | −0.688603 | − | 0.725139i | ||||
\(5\) | −1.06722 | + | 1.84849i | −0.213445 | + | 0.369698i | −0.952790 | − | 0.303629i | \(-0.901802\pi\) |
0.739345 | + | 0.673326i | \(0.235135\pi\) | |||||||
\(6\) | −6.76812 | + | 5.05580i | −1.12802 | + | 0.842633i | ||||
\(7\) | 1.82388i | 0.260555i | 0.991478 | + | 0.130277i | \(0.0415868\pi\) | ||||
−0.991478 | + | 0.130277i | \(0.958413\pi\) | |||||||
\(8\) | −7.50411 | + | 2.77279i | −0.938014 | + | 0.346599i | ||||
\(9\) | 4.42107 | + | 7.65753i | 0.491231 | + | 0.850836i | ||||
\(10\) | 2.55477 | + | 3.42003i | 0.255477 | + | 0.342003i | ||||
\(11\) | − | 13.8522i | − | 1.25929i | −0.776882 | − | 0.629647i | \(-0.783200\pi\) | ||
0.776882 | − | 0.629647i | \(-0.216800\pi\) | |||||||
\(12\) | 3.94991 | + | 16.4278i | 0.329159 | + | 1.36898i | ||||
\(13\) | −9.95291 | − | 17.2389i | −0.765608 | − | 1.32607i | −0.939924 | − | 0.341383i | \(-0.889105\pi\) |
0.174316 | − | 0.984690i | \(-0.444229\pi\) | |||||||
\(14\) | 3.35178 | + | 1.43936i | 0.239413 | + | 0.102811i | ||||
\(15\) | 7.80801 | − | 4.50795i | 0.520534 | − | 0.300530i | ||||
\(16\) | −0.826437 | + | 15.9786i | −0.0516523 | + | 0.998665i | ||||
\(17\) | 3.83013 | − | 6.63399i | 0.225302 | − | 0.390235i | −0.731108 | − | 0.682262i | \(-0.760996\pi\) |
0.956410 | + | 0.292027i | \(0.0943298\pi\) | |||||||
\(18\) | 17.5614 | − | 2.08157i | 0.975631 | − | 0.115643i | ||||
\(19\) | 16.7080 | − | 9.04663i | 0.879370 | − | 0.476138i | ||||
\(20\) | 8.30122 | − | 1.99595i | 0.415061 | − | 0.0997975i | ||||
\(21\) | 3.85204 | − | 6.67193i | 0.183430 | − | 0.317711i | ||||
\(22\) | −25.4565 | − | 10.9318i | −1.15711 | − | 0.496900i | ||||
\(23\) | −9.14824 | + | 5.28174i | −0.397749 | + | 0.229641i | −0.685512 | − | 0.728061i | \(-0.740422\pi\) |
0.287763 | + | 0.957702i | \(0.407088\pi\) | |||||||
\(24\) | 33.3068 | + | 5.70555i | 1.38778 | + | 0.237731i | ||||
\(25\) | 10.2221 | + | 17.7051i | 0.408882 | + | 0.708205i | ||||
\(26\) | −39.5349 | + | 4.68612i | −1.52057 | + | 0.180235i | ||||
\(27\) | 0.666761i | 0.0246949i | ||||||||
\(28\) | 5.29027 | − | 5.02372i | 0.188938 | − | 0.179419i | ||||
\(29\) | −0.0147659 | − | 0.0255754i | −0.000509170 | − | 0.000881909i | 0.865771 | − | 0.500441i | \(-0.166829\pi\) |
−0.866280 | + | 0.499559i | \(0.833495\pi\) | |||||||
\(30\) | −2.12248 | − | 17.9065i | −0.0707492 | − | 0.596882i | ||||
\(31\) | − | 42.2313i | − | 1.36230i | −0.732143 | − | 0.681150i | \(-0.761480\pi\) | ||
0.732143 | − | 0.681150i | \(-0.238520\pi\) | |||||||
\(32\) | 28.7120 | + | 14.1287i | 0.897251 | + | 0.441521i | ||||
\(33\) | −29.2559 | + | 50.6727i | −0.886542 | + | 1.53554i | ||||
\(34\) | −9.16876 | − | 12.2741i | −0.269669 | − | 0.361002i | ||||
\(35\) | −3.37143 | − | 1.94649i | −0.0963264 | − | 0.0556141i | ||||
\(36\) | 10.0336 | − | 33.9155i | 0.278712 | − | 0.942098i | ||||
\(37\) | 19.5805 | 0.529202 | 0.264601 | − | 0.964358i | \(-0.414760\pi\) | ||||
0.264601 | + | 0.964358i | \(0.414760\pi\) | |||||||
\(38\) | −3.43961 | − | 37.8440i | −0.0905161 | − | 0.995895i | ||||
\(39\) | 84.0821i | 2.15595i | ||||||||
\(40\) | 2.88310 | − | 16.8304i | 0.0720776 | − | 0.420761i | ||||
\(41\) | 15.7368 | − | 27.2570i | 0.383825 | − | 0.664805i | −0.607780 | − | 0.794105i | \(-0.707940\pi\) |
0.991605 | + | 0.129300i | \(0.0412732\pi\) | |||||||
\(42\) | −9.22119 | − | 12.3443i | −0.219552 | − | 0.293911i | ||||
\(43\) | 51.3500 | + | 29.6469i | 1.19418 | + | 0.689463i | 0.959253 | − | 0.282549i | \(-0.0911799\pi\) |
0.234932 | + | 0.972012i | \(0.424513\pi\) | |||||||
\(44\) | −40.1791 | + | 38.1547i | −0.913162 | + | 0.867153i | ||||
\(45\) | −18.8731 | −0.419403 | ||||||||
\(46\) | 2.48680 | + | 20.9801i | 0.0540608 | + | 0.456089i | ||||
\(47\) | −77.5317 | + | 44.7629i | −1.64961 | + | 0.952403i | −0.672384 | + | 0.740202i | \(0.734730\pi\) |
−0.977226 | + | 0.212201i | \(0.931937\pi\) | |||||||
\(48\) | 36.7700 | − | 56.7059i | 0.766043 | − | 1.18137i | ||||
\(49\) | 45.6735 | 0.932111 | ||||||||
\(50\) | 40.6040 | − | 4.81285i | 0.812080 | − | 0.0962569i | ||||
\(51\) | −28.0219 | + | 16.1785i | −0.549450 | + | 0.317225i | ||||
\(52\) | −22.5881 | + | 76.3521i | −0.434387 | + | 1.46831i | ||||
\(53\) | −29.8268 | − | 51.6616i | −0.562770 | − | 0.974747i | −0.997253 | − | 0.0740668i | \(-0.976402\pi\) |
0.434483 | − | 0.900680i | \(-0.356931\pi\) | |||||||
\(54\) | 1.22532 | + | 0.526190i | 0.0226911 | + | 0.00974426i | ||||
\(55\) | 25.6057 | + | 14.7834i | 0.465558 | + | 0.268790i | ||||
\(56\) | −5.05724 | − | 13.6866i | −0.0903079 | − | 0.244404i | ||||
\(57\) | −80.2259 | − | 2.19398i | −1.40747 | − | 0.0384909i | ||||
\(58\) | −0.0586532 | + | 0.00695224i | −0.00101126 | + | 0.000119866i | ||||
\(59\) | −63.9584 | − | 36.9264i | −1.08404 | − | 0.625871i | −0.152057 | − | 0.988372i | \(-0.548590\pi\) |
−0.931984 | + | 0.362500i | \(0.881923\pi\) | |||||||
\(60\) | −34.5820 | − | 10.2308i | −0.576367 | − | 0.170513i | ||||
\(61\) | −23.6620 | − | 40.9837i | −0.387901 | − | 0.671864i | 0.604266 | − | 0.796783i | \(-0.293466\pi\) |
−0.992167 | + | 0.124919i | \(0.960133\pi\) | |||||||
\(62\) | −77.6093 | − | 33.3278i | −1.25176 | − | 0.537546i | ||||
\(63\) | −13.9664 | + | 8.06352i | −0.221689 | + | 0.127992i | ||||
\(64\) | 48.6233 | − | 41.6146i | 0.759739 | − | 0.650229i | ||||
\(65\) | 42.4880 | 0.653661 | ||||||||
\(66\) | 70.0341 | + | 93.7536i | 1.06112 | + | 1.42051i | ||||
\(67\) | −5.77732 | + | 3.33554i | −0.0862287 | + | 0.0497842i | −0.542494 | − | 0.840059i | \(-0.682520\pi\) |
0.456266 | + | 0.889844i | \(0.349187\pi\) | |||||||
\(68\) | −29.7920 | + | 7.16321i | −0.438118 | + | 0.105341i | ||||
\(69\) | 44.6201 | 0.646668 | ||||||||
\(70\) | −6.23774 | + | 4.65961i | −0.0891106 | + | 0.0665658i | ||||
\(71\) | 24.1399 | + | 13.9372i | 0.339999 | + | 0.196298i | 0.660272 | − | 0.751027i | \(-0.270441\pi\) |
−0.320273 | + | 0.947325i | \(0.603775\pi\) | |||||||
\(72\) | −54.4089 | − | 45.2042i | −0.755680 | − | 0.627836i | ||||
\(73\) | −46.2611 | + | 80.1266i | −0.633714 | + | 1.09762i | 0.353072 | + | 0.935596i | \(0.385137\pi\) |
−0.986786 | + | 0.162028i | \(0.948196\pi\) | |||||||
\(74\) | 15.4524 | − | 35.9834i | 0.208816 | − | 0.486262i | ||||
\(75\) | − | 86.3559i | − | 1.15141i | ||||||
\(76\) | −72.2610 | − | 23.5444i | −0.950803 | − | 0.309795i | ||||
\(77\) | 25.2648 | 0.328115 | ||||||||
\(78\) | 154.519 | + | 66.3553i | 1.98101 | + | 0.850710i | ||||
\(79\) | 110.683 | + | 63.9027i | 1.40105 | + | 0.808895i | 0.994500 | − | 0.104735i | \(-0.0333994\pi\) |
0.406547 | + | 0.913630i | \(0.366733\pi\) | |||||||
\(80\) | −28.6543 | − | 18.5805i | −0.358179 | − | 0.232256i | ||||
\(81\) | 41.1979 | − | 71.3568i | 0.508616 | − | 0.880948i | ||||
\(82\) | −37.6716 | − | 50.4304i | −0.459409 | − | 0.615004i | ||||
\(83\) | − | 88.9093i | − | 1.07120i | −0.844473 | − | 0.535598i | \(-0.820086\pi\) | ||
0.844473 | − | 0.535598i | \(-0.179914\pi\) | |||||||
\(84\) | −29.9624 | + | 7.20418i | −0.356695 | + | 0.0857640i | ||||
\(85\) | 8.17523 | + | 14.1599i | 0.0961792 | + | 0.166587i | ||||
\(86\) | 95.0066 | − | 70.9702i | 1.10473 | − | 0.825234i | ||||
\(87\) | 0.124743i | 0.00143382i | ||||||||
\(88\) | 38.4093 | + | 103.949i | 0.436469 | + | 1.18123i | ||||
\(89\) | 31.2173 | + | 54.0700i | 0.350756 | + | 0.607528i | 0.986382 | − | 0.164469i | \(-0.0525912\pi\) |
−0.635626 | + | 0.771997i | \(0.719258\pi\) | |||||||
\(90\) | −14.8942 | + | 34.6835i | −0.165491 | + | 0.385372i | ||||
\(91\) | 31.4418 | − | 18.1529i | 0.345514 | − | 0.199483i | ||||
\(92\) | 40.5180 | + | 11.9869i | 0.440413 | + | 0.130292i | ||||
\(93\) | −89.1925 | + | 154.486i | −0.959059 | + | 1.66114i | ||||
\(94\) | 21.0757 | + | 177.807i | 0.224210 | + | 1.89156i | ||||
\(95\) | −1.10865 | + | 40.5394i | −0.0116700 | + | 0.426730i | ||||
\(96\) | −75.1914 | − | 112.324i | −0.783244 | − | 1.17004i | ||||
\(97\) | 64.8024 | − | 112.241i | 0.668066 | − | 1.15712i | −0.310378 | − | 0.950613i | \(-0.600456\pi\) |
0.978444 | − | 0.206511i | \(-0.0662109\pi\) | |||||||
\(98\) | 36.0443 | − | 83.9349i | 0.367799 | − | 0.856479i | ||||
\(99\) | 106.074 | − | 61.2417i | 1.07145 | − | 0.618603i | ||||
\(100\) | 23.1989 | − | 78.4169i | 0.231989 | − | 0.784169i | ||||
\(101\) | 45.6483 | + | 79.0651i | 0.451963 | + | 0.782823i | 0.998508 | − | 0.0546069i | \(-0.0173906\pi\) |
−0.546545 | + | 0.837430i | \(0.684057\pi\) | |||||||
\(102\) | 7.61730 | + | 64.2640i | 0.0746794 | + | 0.630040i | ||||
\(103\) | − | 67.8160i | − | 0.658408i | −0.944259 | − | 0.329204i | \(-0.893220\pi\) | ||
0.944259 | − | 0.329204i | \(-0.106780\pi\) | |||||||
\(104\) | 122.488 | + | 101.766i | 1.17777 | + | 0.978515i | ||||
\(105\) | 8.22198 | + | 14.2409i | 0.0783046 | + | 0.135628i | ||||
\(106\) | −118.478 | + | 14.0433i | −1.11772 | + | 0.132484i | ||||
\(107\) | − | 95.8811i | − | 0.896085i | −0.894012 | − | 0.448043i | \(-0.852121\pi\) | ||
0.894012 | − | 0.448043i | \(-0.147879\pi\) | |||||||
\(108\) | 1.93398 | − | 1.83653i | 0.0179072 | − | 0.0170049i | ||||
\(109\) | −30.9046 | + | 53.5283i | −0.283528 | + | 0.491085i | −0.972251 | − | 0.233939i | \(-0.924838\pi\) |
0.688723 | + | 0.725025i | \(0.258172\pi\) | |||||||
\(110\) | 47.3751 | − | 35.3893i | 0.430683 | − | 0.321721i | ||||
\(111\) | −71.6271 | − | 41.3539i | −0.645289 | − | 0.372558i | ||||
\(112\) | −29.1432 | − | 1.50733i | −0.260207 | − | 0.0134583i | ||||
\(113\) | −33.7438 | −0.298618 | −0.149309 | − | 0.988791i | \(-0.547705\pi\) | ||||
−0.149309 | + | 0.988791i | \(0.547705\pi\) | |||||||
\(114\) | −67.3441 | + | 145.701i | −0.590738 | + | 1.27808i | ||||
\(115\) | − | 22.5472i | − | 0.196063i | ||||||
\(116\) | −0.0335113 | + | 0.113274i | −0.000288890 | + | 0.000976504i | ||||
\(117\) | 88.0051 | − | 152.429i | 0.752180 | − | 1.30281i | ||||
\(118\) | −118.335 | + | 88.3962i | −1.00284 | + | 0.749120i | ||||
\(119\) | 12.0996 | + | 6.98572i | 0.101677 | + | 0.0587035i | ||||
\(120\) | −46.0925 | + | 55.4781i | −0.384104 | + | 0.462318i | ||||
\(121\) | −70.8842 | −0.585820 | ||||||||
\(122\) | −93.9898 | + | 11.1407i | −0.770409 | + | 0.0913176i | ||||
\(123\) | −115.133 | + | 66.4724i | −0.936045 | + | 0.540426i | ||||
\(124\) | −122.494 | + | 116.322i | −0.987857 | + | 0.938084i | ||||
\(125\) | −96.9982 | −0.775986 | ||||||||
\(126\) | 3.79654 | + | 32.0299i | 0.0301313 | + | 0.254205i | ||||
\(127\) | −28.8460 | + | 16.6543i | −0.227134 | + | 0.131136i | −0.609249 | − | 0.792979i | \(-0.708529\pi\) |
0.382115 | + | 0.924115i | \(0.375196\pi\) | |||||||
\(128\) | −38.1037 | − | 122.197i | −0.297685 | − | 0.954664i | ||||
\(129\) | −125.228 | − | 216.902i | −0.970763 | − | 1.68141i | ||||
\(130\) | 33.5304 | − | 78.0809i | 0.257926 | − | 0.600622i | ||||
\(131\) | −11.8573 | − | 6.84581i | −0.0905136 | − | 0.0522581i | 0.454060 | − | 0.890971i | \(-0.349975\pi\) |
−0.544574 | + | 0.838713i | \(0.683309\pi\) | |||||||
\(132\) | 227.562 | − | 54.7151i | 1.72395 | − | 0.414508i | ||||
\(133\) | 16.5000 | + | 30.4735i | 0.124060 | + | 0.229124i | ||||
\(134\) | 1.57047 | + | 13.2494i | 0.0117199 | + | 0.0988762i | ||||
\(135\) | −1.23250 | − | 0.711584i | −0.00912963 | − | 0.00527099i | ||||
\(136\) | −10.3471 | + | 60.4023i | −0.0760816 | + | 0.444135i | ||||
\(137\) | −66.7629 | − | 115.637i | −0.487320 | − | 0.844063i | 0.512574 | − | 0.858643i | \(-0.328692\pi\) |
−0.999894 | + | 0.0145800i | \(0.995359\pi\) | |||||||
\(138\) | 35.2130 | − | 81.9991i | 0.255166 | − | 0.594196i | ||||
\(139\) | 192.509 | − | 111.145i | 1.38496 | − | 0.799606i | 0.392216 | − | 0.919873i | \(-0.371709\pi\) |
0.992741 | + | 0.120268i | \(0.0383753\pi\) | |||||||
\(140\) | 3.64038 | + | 15.1404i | 0.0260027 | + | 0.108146i | ||||
\(141\) | 378.157 | 2.68196 | ||||||||
\(142\) | 44.6632 | − | 33.3635i | 0.314530 | − | 0.234954i | ||||
\(143\) | −238.798 | + | 137.870i | −1.66991 | + | 0.964125i | ||||
\(144\) | −126.011 | + | 64.3143i | −0.875074 | + | 0.446627i | ||||
\(145\) | 0.0630343 | 0.000434719 | ||||||||
\(146\) | 110.742 | + | 148.249i | 0.758507 | + | 1.01540i | ||||
\(147\) | −167.078 | − | 96.4623i | −1.13658 | − | 0.656206i | ||||
\(148\) | −53.9327 | − | 56.7942i | −0.364410 | − | 0.383745i | ||||
\(149\) | −11.8549 | + | 20.5333i | −0.0795632 | + | 0.137808i | −0.903062 | − | 0.429511i | \(-0.858686\pi\) |
0.823498 | + | 0.567319i | \(0.192019\pi\) | |||||||
\(150\) | −158.698 | − | 68.1498i | −1.05799 | − | 0.454332i | ||||
\(151\) | 77.7402i | 0.514836i | 0.966300 | + | 0.257418i | \(0.0828717\pi\) | ||||
−0.966300 | + | 0.257418i | \(0.917128\pi\) | |||||||
\(152\) | −100.295 | + | 114.215i | −0.659832 | + | 0.751413i | ||||
\(153\) | 67.7332 | 0.442701 | ||||||||
\(154\) | 19.9383 | − | 46.4296i | 0.129470 | − | 0.301491i | ||||
\(155\) | 78.0641 | + | 45.0703i | 0.503639 | + | 0.290776i | ||||
\(156\) | 243.885 | − | 231.597i | 1.56336 | − | 1.48459i | ||||
\(157\) | −126.399 | + | 218.929i | −0.805087 | + | 1.39445i | 0.111146 | + | 0.993804i | \(0.464548\pi\) |
−0.916233 | + | 0.400647i | \(0.868785\pi\) | |||||||
\(158\) | 204.783 | − | 152.973i | 1.29609 | − | 0.968185i | ||||
\(159\) | 251.977i | 1.58476i | ||||||||
\(160\) | −56.7589 | + | 37.9954i | −0.354743 | + | 0.237471i | ||||
\(161\) | −9.63327 | − | 16.6853i | −0.0598340 | − | 0.103636i | ||||
\(162\) | −98.6214 | − | 132.023i | −0.608774 | − | 0.814956i | ||||
\(163\) | 58.1739i | 0.356895i | 0.983949 | + | 0.178448i | \(0.0571075\pi\) | ||||
−0.983949 | + | 0.178448i | \(0.942893\pi\) | |||||||
\(164\) | −122.406 | + | 29.4314i | −0.746379 | + | 0.179460i | ||||
\(165\) | −62.4452 | − | 108.158i | −0.378456 | − | 0.655505i | ||||
\(166\) | −163.390 | − | 70.1649i | −0.984278 | − | 0.422680i | ||||
\(167\) | 139.337 | − | 80.4465i | 0.834356 | − | 0.481716i | −0.0209856 | − | 0.999780i | \(-0.506680\pi\) |
0.855342 | + | 0.518064i | \(0.173347\pi\) | |||||||
\(168\) | −10.4063 | + | 60.7477i | −0.0619421 | + | 0.361594i | ||||
\(169\) | −113.621 | + | 196.797i | −0.672312 | + | 1.16448i | ||||
\(170\) | 32.4736 | − | 3.84914i | 0.191021 | − | 0.0226420i | ||||
\(171\) | 143.142 | + | 87.9464i | 0.837089 | + | 0.514306i | ||||
\(172\) | −55.4464 | − | 230.603i | −0.322363 | − | 1.34072i | ||||
\(173\) | −123.372 | + | 213.686i | −0.713132 | + | 1.23518i | 0.250544 | + | 0.968105i | \(0.419391\pi\) |
−0.963676 | + | 0.267075i | \(0.913943\pi\) | |||||||
\(174\) | 0.229242 | + | 0.0984435i | 0.00131748 | + | 0.000565767i | ||||
\(175\) | −32.2921 | + | 18.6438i | −0.184526 | + | 0.106536i | ||||
\(176\) | 221.340 | + | 11.4480i | 1.25761 | + | 0.0650454i | ||||
\(177\) | 155.977 | + | 270.160i | 0.881226 | + | 1.52633i | ||||
\(178\) | 124.001 | − | 14.6980i | 0.696636 | − | 0.0825732i | ||||
\(179\) | 129.378i | 0.722780i | 0.932415 | + | 0.361390i | \(0.117698\pi\) | ||||
−0.932415 | + | 0.361390i | \(0.882302\pi\) | |||||||
\(180\) | 51.9843 | + | 54.7425i | 0.288802 | + | 0.304125i | ||||
\(181\) | −96.1456 | − | 166.529i | −0.531191 | − | 0.920051i | −0.999337 | − | 0.0363994i | \(-0.988411\pi\) |
0.468146 | − | 0.883651i | \(-0.344922\pi\) | |||||||
\(182\) | −8.54694 | − | 72.1070i | −0.0469612 | − | 0.396192i | ||||
\(183\) | 199.896i | 1.09233i | ||||||||
\(184\) | 54.0042 | − | 65.0009i | 0.293501 | − | 0.353266i | ||||
\(185\) | −20.8968 | + | 36.1943i | −0.112955 | + | 0.195645i | ||||
\(186\) | 213.513 | + | 285.827i | 1.14792 | + | 1.53670i | ||||
\(187\) | −91.8955 | − | 53.0559i | −0.491420 | − | 0.283721i | ||||
\(188\) | 343.392 | + | 101.589i | 1.82655 | + | 0.540369i | ||||
\(189\) | −1.21609 | −0.00643436 | ||||||||
\(190\) | 73.6250 | + | 34.0300i | 0.387500 | + | 0.179105i | ||||
\(191\) | 1.29081i | 0.00675816i | 0.999994 | + | 0.00337908i | \(0.00107560\pi\) | ||||
−0.999994 | + | 0.00337908i | \(0.998924\pi\) | |||||||
\(192\) | −265.758 | + | 49.5377i | −1.38416 | + | 0.258009i | ||||
\(193\) | 186.582 | − | 323.169i | 0.966744 | − | 1.67445i | 0.261889 | − | 0.965098i | \(-0.415655\pi\) |
0.704855 | − | 0.709351i | \(-0.251012\pi\) | |||||||
\(194\) | −155.127 | − | 207.666i | −0.799624 | − | 1.07044i | ||||
\(195\) | −155.425 | − | 89.7345i | −0.797050 | − | 0.460177i | ||||
\(196\) | −125.803 | − | 132.478i | −0.641854 | − | 0.675910i | ||||
\(197\) | 191.769 | 0.973448 | 0.486724 | − | 0.873556i | \(-0.338192\pi\) | ||||
0.486724 | + | 0.873556i | \(0.338192\pi\) | |||||||
\(198\) | −28.8344 | − | 243.264i | −0.145628 | − | 1.22861i | ||||
\(199\) | 285.397 | − | 164.774i | 1.43415 | − | 0.828009i | 0.436720 | − | 0.899598i | \(-0.356140\pi\) |
0.997434 | + | 0.0715885i | \(0.0228068\pi\) | |||||||
\(200\) | −125.800 | − | 104.518i | −0.629000 | − | 0.522588i | ||||
\(201\) | 28.1786 | 0.140192 | ||||||||
\(202\) | 181.324 | − | 21.4925i | 0.897642 | − | 0.106399i | ||||
\(203\) | 0.0466465 | − | 0.0269314i | 0.000229786 | − | 0.000132667i | ||||
\(204\) | 124.111 | + | 36.7170i | 0.608385 | + | 0.179985i | ||||
\(205\) | 33.5895 | + | 58.1787i | 0.163851 | + | 0.283799i | ||||
\(206\) | −124.627 | − | 53.5186i | −0.604984 | − | 0.259799i | ||||
\(207\) | −80.8901 | − | 46.7019i | −0.390773 | − | 0.225613i | ||||
\(208\) | 283.680 | − | 144.787i | 1.36385 | − | 0.696092i | ||||
\(209\) | −125.316 | − | 231.444i | −0.599598 | − | 1.10739i | ||||
\(210\) | 32.6593 | − | 3.87115i | 0.155520 | − | 0.0184341i | ||||
\(211\) | 48.2556 | + | 27.8604i | 0.228700 | + | 0.132040i | 0.609972 | − | 0.792423i | \(-0.291181\pi\) |
−0.381272 | + | 0.924463i | \(0.624514\pi\) | |||||||
\(212\) | −67.6919 | + | 228.812i | −0.319301 | + | 1.07930i | ||||
\(213\) | −58.8706 | − | 101.967i | −0.276388 | − | 0.478718i | ||||
\(214\) | −176.202 | − | 75.6668i | −0.823376 | − | 0.353583i | ||||
\(215\) | −109.604 | + | 63.2798i | −0.509785 | + | 0.294325i | ||||
\(216\) | −1.84879 | − | 5.00345i | −0.00855920 | − | 0.0231641i | ||||
\(217\) | 77.0250 | 0.354954 | ||||||||
\(218\) | 73.9808 | + | 99.0370i | 0.339362 | + | 0.454298i | ||||
\(219\) | 338.454 | − | 195.407i | 1.54545 | − | 0.892268i | ||||
\(220\) | −27.6484 | − | 114.990i | −0.125674 | − | 0.522683i | ||||
\(221\) | −152.484 | −0.689973 | ||||||||
\(222\) | −132.523 | + | 98.9950i | −0.596951 | + | 0.445923i | ||||
\(223\) | 35.7192 | + | 20.6225i | 0.160176 | + | 0.0924774i | 0.577945 | − | 0.816076i | \(-0.303855\pi\) |
−0.417770 | + | 0.908553i | \(0.637188\pi\) | |||||||
\(224\) | −25.7691 | + | 52.3674i | −0.115040 | + | 0.233783i | ||||
\(225\) | −90.3850 | + | 156.551i | −0.401711 | + | 0.695784i | ||||
\(226\) | −26.6297 | + | 62.0116i | −0.117831 | + | 0.274388i | ||||
\(227\) | 277.068i | 1.22057i | 0.792184 | + | 0.610283i | \(0.208944\pi\) | ||||
−0.792184 | + | 0.610283i | \(0.791056\pi\) | |||||||
\(228\) | 214.611 | + | 238.743i | 0.941278 | + | 1.04712i | ||||
\(229\) | 141.178 | 0.616496 | 0.308248 | − | 0.951306i | \(-0.400257\pi\) | ||||
0.308248 | + | 0.951306i | \(0.400257\pi\) | |||||||
\(230\) | −41.4354 | − | 17.7937i | −0.180154 | − | 0.0773637i | ||||
\(231\) | −92.4210 | − | 53.3593i | −0.400091 | − | 0.230993i | ||||
\(232\) | 0.181720 | + | 0.150977i | 0.000783277 | + | 0.000650765i | ||||
\(233\) | 44.5846 | − | 77.2228i | 0.191350 | − | 0.331428i | −0.754348 | − | 0.656475i | \(-0.772047\pi\) |
0.945698 | + | 0.325047i | \(0.105380\pi\) | |||||||
\(234\) | −210.671 | − | 282.022i | −0.900302 | − | 1.20522i | ||||
\(235\) | − | 191.088i | − | 0.813143i | ||||||
\(236\) | 69.0607 | + | 287.225i | 0.292630 | + | 1.21706i | ||||
\(237\) | −269.925 | − | 467.523i | −1.13892 | − | 1.97267i | ||||
\(238\) | 22.3865 | − | 16.7227i | 0.0940608 | − | 0.0702636i | ||||
\(239\) | − | 82.2938i | − | 0.344325i | −0.985069 | − | 0.172163i | \(-0.944925\pi\) | ||
0.985069 | − | 0.172163i | \(-0.0550755\pi\) | |||||||
\(240\) | 65.5782 | + | 128.487i | 0.273242 | + | 0.535362i | ||||
\(241\) | −22.2946 | − | 38.6154i | −0.0925088 | − | 0.160230i | 0.816057 | − | 0.577971i | \(-0.196155\pi\) |
−0.908566 | + | 0.417741i | \(0.862822\pi\) | |||||||
\(242\) | −55.9399 | + | 130.265i | −0.231157 | + | 0.538286i | ||||
\(243\) | −296.214 | + | 171.019i | −1.21899 | + | 0.703783i | ||||
\(244\) | −53.7007 | + | 181.519i | −0.220085 | + | 0.743929i | ||||
\(245\) | −48.7438 | + | 84.4268i | −0.198954 | + | 0.344599i | ||||
\(246\) | 31.2971 | + | 264.041i | 0.127224 | + | 1.07334i | ||||
\(247\) | −322.248 | − | 197.989i | −1.30465 | − | 0.801573i | ||||
\(248\) | 117.099 | + | 316.908i | 0.472172 | + | 1.27786i | ||||
\(249\) | −187.776 | + | 325.238i | −0.754122 | + | 1.30618i | ||||
\(250\) | −76.5484 | + | 178.255i | −0.306194 | + | 0.713021i | ||||
\(251\) | −94.8716 | + | 54.7741i | −0.377974 | + | 0.218224i | −0.676937 | − | 0.736041i | \(-0.736693\pi\) |
0.298962 | + | 0.954265i | \(0.403360\pi\) | |||||||
\(252\) | 61.8580 | + | 18.3001i | 0.245468 | + | 0.0726196i | ||||
\(253\) | 73.1638 | + | 126.723i | 0.289185 | + | 0.500883i | ||||
\(254\) | 7.84132 | + | 66.1540i | 0.0308713 | + | 0.260449i | ||||
\(255\) | − | 69.0643i | − | 0.270840i | ||||||
\(256\) | −254.634 | − | 26.4107i | −0.994664 | − | 0.103167i | ||||
\(257\) | 224.002 | + | 387.982i | 0.871602 | + | 1.50966i | 0.860339 | + | 0.509722i | \(0.170252\pi\) |
0.0112627 | + | 0.999937i | \(0.496415\pi\) | |||||||
\(258\) | −497.432 | + | 58.9612i | −1.92803 | + | 0.228532i | ||||
\(259\) | 35.7125i | 0.137886i | ||||||||
\(260\) | −117.029 | − | 123.239i | −0.450113 | − | 0.473995i | ||||
\(261\) | 0.130563 | − | 0.226141i | 0.000500240 | − | 0.000866441i | ||||
\(262\) | −21.9381 | + | 16.3878i | −0.0837332 | + | 0.0625489i | ||||
\(263\) | 272.533 | + | 157.347i | 1.03625 | + | 0.598277i | 0.918768 | − | 0.394798i | \(-0.129186\pi\) |
0.117478 | + | 0.993075i | \(0.462519\pi\) | |||||||
\(264\) | 79.0346 | − | 461.374i | 0.299374 | − | 1.74763i | ||||
\(265\) | 127.328 | 0.480482 | ||||||||
\(266\) | 69.0231 | − | 6.27345i | 0.259485 | − | 0.0235844i | ||||
\(267\) | − | 263.724i | − | 0.987730i | ||||||
\(268\) | 25.5880 | + | 7.57000i | 0.0954778 | + | 0.0282463i | ||||
\(269\) | 145.563 | − | 252.123i | 0.541128 | − | 0.937261i | −0.457712 | − | 0.889101i | \(-0.651331\pi\) |
0.998840 | − | 0.0481601i | \(-0.0153358\pi\) | |||||||
\(270\) | −2.28035 | + | 1.70342i | −0.00844573 | + | 0.00630897i | ||||
\(271\) | −111.647 | − | 64.4596i | −0.411983 | − | 0.237858i | 0.279659 | − | 0.960100i | \(-0.409779\pi\) |
−0.691641 | + | 0.722241i | \(0.743112\pi\) | |||||||
\(272\) | 102.837 | + | 66.6829i | 0.378076 | + | 0.245158i | ||||
\(273\) | −153.356 | −0.561743 | ||||||||
\(274\) | −265.195 | + | 31.4339i | −0.967865 | + | 0.114722i | ||||
\(275\) | 245.255 | − | 141.598i | 0.891838 | − | 0.514903i | ||||
\(276\) | −122.902 | − | 129.423i | −0.445297 | − | 0.468924i | ||||
\(277\) | 23.1010 | 0.0833971 | 0.0416986 | − | 0.999130i | \(-0.486723\pi\) | ||||
0.0416986 | + | 0.999130i | \(0.486723\pi\) | |||||||
\(278\) | −52.3304 | − | 441.490i | −0.188239 | − | 1.58809i | ||||
\(279\) | 323.387 | − | 186.708i | 1.15909 | − | 0.669204i | ||||
\(280\) | 30.6968 | + | 5.25844i | 0.109631 | + | 0.0187802i | ||||
\(281\) | 33.2086 | + | 57.5190i | 0.118180 | + | 0.204694i | 0.919046 | − | 0.394149i | \(-0.128961\pi\) |
−0.800866 | + | 0.598843i | \(0.795627\pi\) | |||||||
\(282\) | 298.431 | − | 694.946i | 1.05827 | − | 2.46435i | ||||
\(283\) | −84.3920 | − | 48.7237i | −0.298205 | − | 0.172169i | 0.343431 | − | 0.939178i | \(-0.388411\pi\) |
−0.641636 | + | 0.767009i | \(0.721744\pi\) | |||||||
\(284\) | −26.0657 | − | 108.408i | −0.0917806 | − | 0.381718i | ||||
\(285\) | 89.6747 | − | 145.955i | 0.314648 | − | 0.512123i | ||||
\(286\) | 64.9132 | + | 547.646i | 0.226969 | + | 1.91485i | ||||
\(287\) | 49.7136 | + | 28.7022i | 0.173218 | + | 0.100007i | ||||
\(288\) | 18.7473 | + | 282.327i | 0.0650949 | + | 0.980302i | ||||
\(289\) | 115.160 | + | 199.463i | 0.398478 | + | 0.690184i | ||||
\(290\) | 0.0497450 | − | 0.115839i | 0.000171534 | − | 0.000399446i | ||||
\(291\) | −474.106 | + | 273.725i | −1.62923 | + | 0.940636i | ||||
\(292\) | 359.834 | − | 86.5187i | 1.23231 | − | 0.296297i | ||||
\(293\) | 263.379 | 0.898903 | 0.449451 | − | 0.893305i | \(-0.351619\pi\) | ||||
0.449451 | + | 0.893305i | \(0.351619\pi\) | |||||||
\(294\) | −309.123 | + | 230.916i | −1.05144 | + | 0.785428i | ||||
\(295\) | 136.516 | − | 78.8176i | 0.462766 | − | 0.267178i | ||||
\(296\) | −146.934 | + | 54.2925i | −0.496399 | + | 0.183421i | ||||
\(297\) | 9.23612 | 0.0310981 | ||||||||
\(298\) | 28.3789 | + | 37.9903i | 0.0952311 | + | 0.127484i | ||||
\(299\) | 182.103 | + | 105.137i | 0.609041 | + | 0.351630i | ||||
\(300\) | −250.480 | + | 237.860i | −0.834934 | + | 0.792866i | ||||
\(301\) | −54.0725 | + | 93.6563i | −0.179643 | + | 0.311151i | ||||
\(302\) | 142.865 | + | 61.3505i | 0.473062 | + | 0.203147i | ||||
\(303\) | − | 385.636i | − | 1.27273i | ||||||
\(304\) | 130.745 | + | 274.448i | 0.430081 | + | 0.902790i | ||||
\(305\) | 101.010 | 0.331182 | ||||||||
\(306\) | 53.4533 | − | 124.475i | 0.174684 | − | 0.406780i | ||||
\(307\) | −245.559 | − | 141.774i | −0.799866 | − | 0.461803i | 0.0435580 | − | 0.999051i | \(-0.486131\pi\) |
−0.843424 | + | 0.537248i | \(0.819464\pi\) | |||||||
\(308\) | −69.5898 | − | 73.2821i | −0.225941 | − | 0.237929i | ||||
\(309\) | −143.227 | + | 248.077i | −0.463519 | + | 0.802838i | ||||
\(310\) | 144.433 | − | 107.891i | 0.465912 | − | 0.348037i | ||||
\(311\) | − | 254.508i | − | 0.818352i | −0.912455 | − | 0.409176i | \(-0.865816\pi\) | ||
0.912455 | − | 0.409176i | \(-0.134184\pi\) | |||||||
\(312\) | −233.142 | − | 630.961i | −0.747250 | − | 2.02231i | ||||
\(313\) | −167.705 | − | 290.473i | −0.535798 | − | 0.928029i | −0.999124 | − | 0.0418410i | \(-0.986678\pi\) |
0.463327 | − | 0.886188i | \(-0.346656\pi\) | |||||||
\(314\) | 302.579 | + | 405.058i | 0.963627 | + | 1.28999i | ||||
\(315\) | − | 34.4224i | − | 0.109277i | ||||||
\(316\) | −119.512 | − | 497.056i | −0.378204 | − | 1.57296i | ||||
\(317\) | −132.064 | − | 228.741i | −0.416605 | − | 0.721580i | 0.578991 | − | 0.815334i | \(-0.303447\pi\) |
−0.995595 | + | 0.0937538i | \(0.970113\pi\) | |||||||
\(318\) | 463.062 | + | 198.853i | 1.45617 | + | 0.625325i | ||||
\(319\) | −0.354276 | + | 0.204541i | −0.00111058 | + | 0.000641195i | ||||
\(320\) | 25.0321 | + | 134.292i | 0.0782255 | + | 0.419662i | ||||
\(321\) | −202.501 | + | 350.742i | −0.630844 | + | 1.09265i | ||||
\(322\) | −38.2652 | + | 4.53563i | −0.118836 | + | 0.0140858i | ||||
\(323\) | 3.97881 | − | 145.491i | 0.0123183 | − | 0.450436i | ||||
\(324\) | −320.450 | + | 77.0493i | −0.989044 | + | 0.237806i | ||||
\(325\) | 203.479 | − | 352.435i | 0.626088 | − | 1.08442i | ||||
\(326\) | 106.907 | + | 45.9093i | 0.327936 | + | 0.140826i | ||||
\(327\) | 226.103 | − | 130.541i | 0.691448 | − | 0.399208i | ||||
\(328\) | −42.5130 | + | 248.174i | −0.129613 | + | 0.756629i | ||||
\(329\) | −81.6424 | − | 141.409i | −0.248153 | − | 0.429814i | ||||
\(330\) | −248.044 | + | 29.4010i | −0.751650 | + | 0.0890940i | ||||
\(331\) | 611.200i | 1.84653i | 0.384170 | + | 0.923263i | \(0.374488\pi\) | ||||
−0.384170 | + | 0.923263i | \(0.625512\pi\) | |||||||
\(332\) | −257.886 | + | 244.893i | −0.776766 | + | 0.737629i | ||||
\(333\) | 86.5667 | + | 149.938i | 0.259960 | + | 0.450264i | ||||
\(334\) | −37.8766 | − | 319.549i | −0.113403 | − | 0.956734i | ||||
\(335\) | − | 14.2391i | − | 0.0425047i | ||||||
\(336\) | 103.425 | + | 67.0643i | 0.307812 | + | 0.199596i | ||||
\(337\) | 34.4295 | − | 59.6337i | 0.102165 | − | 0.176955i | −0.810412 | − | 0.585861i | \(-0.800756\pi\) |
0.912576 | + | 0.408906i | \(0.134090\pi\) | |||||||
\(338\) | 271.991 | + | 364.110i | 0.804706 | + | 1.07725i | ||||
\(339\) | 123.438 | + | 71.2669i | 0.364124 | + | 0.210227i | ||||
\(340\) | 18.5537 | − | 62.7149i | 0.0545696 | − | 0.184456i | ||||
\(341\) | −584.998 | −1.71554 | ||||||||
\(342\) | 274.585 | − | 193.650i | 0.802879 | − | 0.566228i | ||||
\(343\) | 172.673i | 0.503421i | ||||||||
\(344\) | −467.540 | − | 80.0910i | −1.35913 | − | 0.232823i | ||||
\(345\) | −47.6197 | + | 82.4797i | −0.138028 | + | 0.239072i | ||||
\(346\) | 295.333 | + | 395.358i | 0.853564 | + | 1.14265i | ||||
\(347\) | 426.970 | + | 246.511i | 1.23046 | + | 0.710407i | 0.967126 | − | 0.254297i | \(-0.0818440\pi\) |
0.263336 | + | 0.964704i | \(0.415177\pi\) | |||||||
\(348\) | 0.361823 | − | 0.343592i | 0.00103972 | − | 0.000987335i | ||||
\(349\) | −180.545 | −0.517320 | −0.258660 | − | 0.965968i | \(-0.583281\pi\) | ||||
−0.258660 | + | 0.965968i | \(0.583281\pi\) | |||||||
\(350\) | 8.77807 | + | 74.0570i | 0.0250802 | + | 0.211591i | ||||
\(351\) | 11.4943 | − | 6.63621i | 0.0327472 | − | 0.0189066i | ||||
\(352\) | 195.714 | − | 397.726i | 0.556005 | − | 1.12990i | ||||
\(353\) | 441.313 | 1.25018 | 0.625089 | − | 0.780553i | \(-0.285063\pi\) | ||||
0.625089 | + | 0.780553i | \(0.285063\pi\) | |||||||
\(354\) | 619.571 | − | 73.4386i | 1.75020 | − | 0.207454i | ||||
\(355\) | −51.5254 | + | 29.7482i | −0.145142 | + | 0.0837978i | ||||
\(356\) | 70.8476 | − | 239.479i | 0.199010 | − | 0.672693i | ||||
\(357\) | −29.5077 | − | 51.1088i | −0.0826545 | − | 0.143162i | ||||
\(358\) | 237.760 | + | 102.101i | 0.664133 | + | 0.285199i | ||||
\(359\) | −119.997 | − | 69.2800i | −0.334252 | − | 0.192981i | 0.323475 | − | 0.946237i | \(-0.395149\pi\) |
−0.657727 | + | 0.753256i | \(0.728482\pi\) | |||||||
\(360\) | 141.626 | − | 52.3312i | 0.393405 | − | 0.145364i | ||||
\(361\) | 197.317 | − | 302.303i | 0.546585 | − | 0.837404i | ||||
\(362\) | −381.909 | + | 45.2682i | −1.05500 | + | 0.125050i | ||||
\(363\) | 259.301 | + | 149.707i | 0.714327 | + | 0.412417i | ||||
\(364\) | −139.257 | − | 41.1981i | −0.382575 | − | 0.113181i | ||||
\(365\) | −98.7420 | − | 171.026i | −0.270526 | − | 0.468565i | ||||
\(366\) | 367.352 | + | 157.753i | 1.00370 | + | 0.431018i | ||||
\(367\) | −304.552 | + | 175.833i | −0.829841 | + | 0.479109i | −0.853798 | − | 0.520604i | \(-0.825707\pi\) |
0.0239571 | + | 0.999713i | \(0.492373\pi\) | |||||||
\(368\) | −76.8345 | − | 150.541i | −0.208790 | − | 0.409080i | ||||
\(369\) | 278.295 | 0.754187 | ||||||||
\(370\) | 50.0237 | + | 66.9659i | 0.135199 | + | 0.180989i | ||||
\(371\) | 94.2247 | − | 54.4006i | 0.253975 | − | 0.146632i | ||||
\(372\) | 693.768 | − | 166.810i | 1.86497 | − | 0.448414i | ||||
\(373\) | −196.793 | −0.527594 | −0.263797 | − | 0.964578i | \(-0.584975\pi\) | ||||
−0.263797 | + | 0.964578i | \(0.584975\pi\) | |||||||
\(374\) | −170.023 | + | 127.008i | −0.454608 | + | 0.339593i | ||||
\(375\) | 354.828 | + | 204.860i | 0.946208 | + | 0.546293i | ||||
\(376\) | 457.688 | − | 550.885i | 1.21726 | − | 1.46512i | ||||
\(377\) | −0.293928 | + | 0.509099i | −0.000779650 | + | 0.00135039i | ||||
\(378\) | −0.959709 | + | 2.23484i | −0.00253891 | + | 0.00591227i | ||||
\(379\) | 169.249i | 0.446566i | 0.974754 | + | 0.223283i | \(0.0716774\pi\) | ||||
−0.974754 | + | 0.223283i | \(0.928323\pi\) | |||||||
\(380\) | 120.640 | − | 108.446i | 0.317475 | − | 0.285385i | ||||
\(381\) | 140.695 | 0.369279 | ||||||||
\(382\) | 2.37214 | + | 1.01867i | 0.00620980 | + | 0.00266668i | ||||
\(383\) | −343.442 | − | 198.286i | −0.896715 | − | 0.517718i | −0.0205817 | − | 0.999788i | \(-0.506552\pi\) |
−0.876133 | + | 0.482070i | \(0.839885\pi\) | |||||||
\(384\) | −118.693 | + | 527.482i | −0.309096 | + | 1.37365i | ||||
\(385\) | −26.9633 | + | 46.7017i | −0.0700345 | + | 0.121303i | ||||
\(386\) | −446.648 | − | 597.920i | −1.15712 | − | 1.54902i | ||||
\(387\) | 524.285i | 1.35474i | ||||||||
\(388\) | −504.054 | + | 121.195i | −1.29911 | + | 0.312358i | ||||
\(389\) | 192.573 | + | 333.547i | 0.495047 | + | 0.857447i | 0.999984 | − | 0.00570929i | \(-0.00181733\pi\) |
−0.504936 | + | 0.863157i | \(0.668484\pi\) | |||||||
\(390\) | −287.564 | + | 214.811i | −0.737343 | + | 0.550797i | ||||
\(391\) | 80.9191i | 0.206954i | ||||||||
\(392\) | −342.739 | + | 126.643i | −0.874333 | + | 0.323069i | ||||
\(393\) | 28.9167 | + | 50.0851i | 0.0735793 | + | 0.127443i | ||||
\(394\) | 151.339 | − | 352.418i | 0.384110 | − | 0.894462i | ||||
\(395\) | −236.247 | + | 136.397i | −0.598093 | + | 0.345309i | ||||
\(396\) | −469.806 | − | 138.988i | −1.18638 | − | 0.350980i | ||||
\(397\) | −141.267 | + | 244.682i | −0.355837 | + | 0.616328i | −0.987261 | − | 0.159110i | \(-0.949138\pi\) |
0.631424 | + | 0.775438i | \(0.282471\pi\) | |||||||
\(398\) | −77.5804 | − | 654.513i | −0.194926 | − | 1.64451i | ||||
\(399\) | 4.00157 | − | 146.323i | 0.0100290 | − | 0.366724i | ||||
\(400\) | −291.352 | + | 148.702i | −0.728380 | + | 0.371756i | ||||
\(401\) | −4.00500 | + | 6.93686i | −0.00998753 | + | 0.0172989i | −0.870976 | − | 0.491326i | \(-0.836513\pi\) |
0.860988 | + | 0.508625i | \(0.169846\pi\) | |||||||
\(402\) | 22.2378 | − | 51.7843i | 0.0553179 | − | 0.128817i | ||||
\(403\) | −728.023 | + | 420.325i | −1.80651 | + | 1.04299i | ||||
\(404\) | 103.599 | − | 350.183i | 0.256432 | − | 0.866790i | ||||
\(405\) | 87.9348 | + | 152.308i | 0.217123 | + | 0.376068i | ||||
\(406\) | −0.0126801 | − | 0.106977i | −3.12317e−5 | − | 0.000263489i | ||||
\(407\) | − | 271.233i | − | 0.666421i | ||||||
\(408\) | 165.420 | − | 199.104i | 0.405442 | − | 0.488000i | ||||
\(409\) | −77.6731 | − | 134.534i | −0.189910 | − | 0.328933i | 0.755310 | − | 0.655367i | \(-0.227486\pi\) |
−0.945220 | + | 0.326434i | \(0.894153\pi\) | |||||||
\(410\) | 133.424 | − | 15.8149i | 0.325424 | − | 0.0385730i | ||||
\(411\) | 564.012i | 1.37229i | ||||||||
\(412\) | −196.704 | + | 186.793i | −0.477437 | + | 0.453382i | ||||
\(413\) | 67.3495 | − | 116.653i | 0.163074 | − | 0.282452i | ||||
\(414\) | −149.661 | + | 111.797i | −0.361501 | + | 0.270042i | ||||
\(415\) | 164.348 | + | 94.8862i | 0.396019 | + | 0.228642i | ||||
\(416\) | −42.2048 | − | 635.586i | −0.101454 | − | 1.52785i | ||||
\(417\) | −938.954 | −2.25169 | ||||||||
\(418\) | −524.224 | + | 47.6463i | −1.25412 | + | 0.113986i | ||||
\(419\) | − | 402.751i | − | 0.961220i | −0.876934 | − | 0.480610i | \(-0.840415\pi\) | ||
0.876934 | − | 0.480610i | \(-0.159585\pi\) | |||||||
\(420\) | 18.6598 | − | 63.0736i | 0.0444280 | − | 0.150175i | ||||
\(421\) | −227.604 | + | 394.222i | −0.540628 | + | 0.936395i | 0.458240 | + | 0.888828i | \(0.348480\pi\) |
−0.998868 | + | 0.0475667i | \(0.984853\pi\) | |||||||
\(422\) | 89.2816 | − | 66.6935i | 0.211568 | − | 0.158041i | ||||
\(423\) | −685.547 | − | 395.801i | −1.62068 | − | 0.935699i | ||||
\(424\) | 367.070 | + | 304.971i | 0.865732 | + | 0.719270i | ||||
\(425\) | 156.608 | 0.368488 | ||||||||
\(426\) | −233.846 | + | 27.7180i | −0.548933 | + | 0.0650658i | ||||
\(427\) | 74.7495 | − | 43.1566i | 0.175057 | − | 0.101069i | ||||
\(428\) | −278.108 | + | 264.096i | −0.649786 | + | 0.617047i | ||||
\(429\) | 1164.72 | 2.71498 | ||||||||
\(430\) | 29.7940 | + | 251.360i | 0.0692884 | + | 0.584557i | ||||
\(431\) | −427.854 | + | 247.021i | −0.992700 | + | 0.573135i | −0.906080 | − | 0.423106i | \(-0.860940\pi\) |
−0.0866195 | + | 0.996241i | \(0.527606\pi\) | |||||||
\(432\) | −10.6539 | − | 0.551036i | −0.0246619 | − | 0.00127555i | ||||
\(433\) | −127.503 | − | 220.842i | −0.294465 | − | 0.510029i | 0.680395 | − | 0.732845i | \(-0.261808\pi\) |
−0.974860 | + | 0.222817i | \(0.928475\pi\) | |||||||
\(434\) | 60.7861 | − | 141.550i | 0.140060 | − | 0.326153i | ||||
\(435\) | −0.230585 | − | 0.133128i | −0.000530081 | − | 0.000306042i | ||||
\(436\) | 240.386 | − | 57.7985i | 0.551343 | − | 0.132565i | ||||
\(437\) | −105.067 | + | 171.008i | −0.240428 | + | 0.391323i | ||||
\(438\) | −92.0032 | − | 776.193i | −0.210053 | − | 1.77213i | ||||
\(439\) | 80.1980 | + | 46.3023i | 0.182683 | + | 0.105472i | 0.588553 | − | 0.808459i | \(-0.299698\pi\) |
−0.405869 | + | 0.913931i | \(0.633031\pi\) | |||||||
\(440\) | −233.139 | − | 39.9374i | −0.529862 | − | 0.0907668i | ||||
\(441\) | 201.926 | + | 349.746i | 0.457881 | + | 0.793074i | ||||
\(442\) | −120.336 | + | 280.222i | −0.272254 | + | 0.633987i | ||||
\(443\) | 319.754 | − | 184.610i | 0.721792 | − | 0.416727i | −0.0936200 | − | 0.995608i | \(-0.529844\pi\) |
0.815412 | + | 0.578881i | \(0.196511\pi\) | |||||||
\(444\) | 77.3412 | + | 321.664i | 0.174192 | + | 0.724469i | ||||
\(445\) | −133.264 | −0.299469 | ||||||||
\(446\) | 66.0869 | − | 49.3670i | 0.148177 | − | 0.110688i | ||||
\(447\) | 86.7327 | − | 50.0751i | 0.194033 | − | 0.112025i | ||||
\(448\) | 75.9002 | + | 88.6832i | 0.169420 | + | 0.197954i | ||||
\(449\) | −457.229 | −1.01833 | −0.509163 | − | 0.860670i | \(-0.670045\pi\) | ||||
−0.509163 | + | 0.860670i | \(0.670045\pi\) | |||||||
\(450\) | 216.368 | + | 289.648i | 0.480817 | + | 0.643663i | ||||
\(451\) | −377.570 | − | 217.990i | −0.837184 | − | 0.483349i | ||||
\(452\) | 92.9444 | + | 97.8759i | 0.205629 | + | 0.216540i | ||||
\(453\) | 164.187 | − | 284.381i | 0.362444 | − | 0.627772i | ||||
\(454\) | 509.174 | + | 218.655i | 1.12153 | + | 0.481619i | ||||
\(455\) | 77.4931i | 0.170314i | ||||||||
\(456\) | 608.108 | − | 205.986i | 1.33357 | − | 0.451723i | ||||
\(457\) | 83.5243 | 0.182767 | 0.0913833 | − | 0.995816i | \(-0.470871\pi\) | ||||
0.0913833 | + | 0.995816i | \(0.470871\pi\) | |||||||
\(458\) | 111.414 | − | 259.445i | 0.243261 | − | 0.566473i | ||||
\(459\) | 4.42328 | + | 2.55378i | 0.00963679 | + | 0.00556380i | ||||
\(460\) | −65.3994 | + | 62.1043i | −0.142173 | + | 0.135009i | ||||
\(461\) | −120.895 | + | 209.396i | −0.262245 | + | 0.454221i | −0.966838 | − | 0.255390i | \(-0.917796\pi\) |
0.704593 | + | 0.709611i | \(0.251129\pi\) | |||||||
\(462\) | −170.996 | + | 127.734i | −0.370120 | + | 0.276481i | ||||
\(463\) | 159.241i | 0.343934i | 0.985103 | + | 0.171967i | \(0.0550123\pi\) | ||||
−0.985103 | + | 0.171967i | \(0.944988\pi\) | |||||||
\(464\) | 0.420863 | − | 0.214803i | 0.000907032 | − | 0.000462938i | ||||
\(465\) | −190.377 | − | 329.742i | −0.409413 | − | 0.709124i | ||||
\(466\) | −106.729 | − | 142.876i | −0.229032 | − | 0.306601i | ||||
\(467\) | 17.6334i | 0.0377588i | 0.999822 | + | 0.0188794i | \(0.00600986\pi\) | ||||
−0.999822 | + | 0.0188794i | \(0.993990\pi\) | |||||||
\(468\) | −684.532 | + | 164.589i | −1.46267 | + | 0.351687i | ||||
\(469\) | −6.08363 | − | 10.5372i | −0.0129715 | − | 0.0224673i | ||||
\(470\) | −351.167 | − | 150.802i | −0.747163 | − | 0.320855i | ||||
\(471\) | 924.755 | − | 533.907i | 1.96339 | − | 1.13356i | ||||
\(472\) | 582.340 | + | 99.7565i | 1.23377 | + | 0.211349i | ||||
\(473\) | 410.676 | − | 711.311i | 0.868236 | − | 1.50383i | ||||
\(474\) | −1072.19 | + | 127.089i | −2.26201 | + | 0.268119i | ||||
\(475\) | 330.962 | + | 203.343i | 0.696763 | + | 0.428090i | ||||
\(476\) | −13.0649 | − | 54.3371i | −0.0274472 | − | 0.114154i | ||||
\(477\) | 263.733 | − | 456.799i | 0.552900 | − | 0.957651i | ||||
\(478\) | −151.233 | − | 64.9440i | −0.316386 | − | 0.135866i | ||||
\(479\) | 164.704 | − | 95.0917i | 0.343849 | − | 0.198521i | −0.318124 | − | 0.948049i | \(-0.603053\pi\) |
0.661973 | + | 0.749528i | \(0.269719\pi\) | |||||||
\(480\) | 287.875 | − | 19.1157i | 0.599740 | − | 0.0398244i | ||||
\(481\) | −194.883 | − | 337.547i | −0.405161 | − | 0.701760i | ||||
\(482\) | −88.5585 | + | 10.4970i | −0.183731 | + | 0.0217779i | ||||
\(483\) | 81.3818i | 0.168492i | ||||||||
\(484\) | 195.244 | + | 205.603i | 0.403397 | + | 0.424801i | ||||
\(485\) | 138.317 | + | 239.573i | 0.285191 | + | 0.493965i | ||||
\(486\) | 80.5209 | + | 679.322i | 0.165681 | + | 1.39778i | ||||
\(487\) | − | 421.853i | − | 0.866228i | −0.901339 | − | 0.433114i | \(-0.857415\pi\) | ||
0.901339 | − | 0.433114i | \(-0.142585\pi\) | |||||||
\(488\) | 291.201 | + | 241.937i | 0.596723 | + | 0.495772i | ||||
\(489\) | 122.863 | − | 212.805i | 0.251254 | − | 0.435185i | ||||
\(490\) | 116.685 | + | 156.205i | 0.238133 | + | 0.318785i | ||||
\(491\) | −707.298 | − | 408.359i | −1.44053 | − | 0.831688i | −0.442641 | − | 0.896699i | \(-0.645958\pi\) |
−0.997885 | + | 0.0650112i | \(0.979292\pi\) | |||||||
\(492\) | 509.932 | + | 150.859i | 1.03645 | + | 0.306624i | ||||
\(493\) | −0.226222 | −0.000458869 | ||||||||
\(494\) | −618.157 | + | 435.953i | −1.25133 | + | 0.882496i | ||||
\(495\) | 261.435i | 0.528151i | ||||||||
\(496\) | 674.799 | + | 34.9015i | 1.36048 | + | 0.0703660i | ||||
\(497\) | −25.4198 | + | 44.0284i | −0.0511465 | + | 0.0885883i | ||||
\(498\) | 449.508 | + | 601.749i | 0.902626 | + | 1.20833i | ||||
\(499\) | 446.851 | + | 257.989i | 0.895492 | + | 0.517013i | 0.875735 | − | 0.482792i | \(-0.160377\pi\) |
0.0197574 | + | 0.999805i | \(0.493711\pi\) | |||||||
\(500\) | 267.173 | + | 281.349i | 0.534346 | + | 0.562697i | ||||
\(501\) | −679.612 | −1.35651 | ||||||||
\(502\) | 25.7893 | + | 217.573i | 0.0513730 | + | 0.433413i | ||||
\(503\) | 328.542 | − | 189.684i | 0.653165 | − | 0.377105i | −0.136503 | − | 0.990640i | \(-0.543586\pi\) |
0.789668 | + | 0.613535i | \(0.210253\pi\) | |||||||
\(504\) | 82.4472 | − | 99.2355i | 0.163586 | − | 0.196896i | ||||
\(505\) | −194.868 | −0.385877 | ||||||||
\(506\) | 290.621 | − | 34.4477i | 0.574350 | − | 0.0680784i | ||||
\(507\) | 831.270 | − | 479.934i | 1.63959 | − | 0.946615i | ||||
\(508\) | 127.760 | + | 37.7968i | 0.251497 | + | 0.0744032i | ||||
\(509\) | 56.0386 | + | 97.0617i | 0.110096 | + | 0.190691i | 0.915809 | − | 0.401615i | \(-0.131551\pi\) |
−0.805713 | + | 0.592306i | \(0.798218\pi\) | |||||||
\(510\) | −126.921 | − | 54.5037i | −0.248864 | − | 0.106870i | ||||
\(511\) | −146.141 | − | 84.3748i | −0.285991 | − | 0.165117i | ||||
\(512\) | −249.486 | + | 447.103i | −0.487277 | + | 0.873248i | ||||
\(513\) | 6.03194 | + | 11.1403i | 0.0117582 | + | 0.0217159i | ||||
\(514\) | 889.778 | − | 105.467i | 1.73109 | − | 0.205188i | ||||
\(515\) | 125.357 | + | 72.3749i | 0.243412 | + | 0.140534i | ||||
\(516\) | −284.206 | + | 960.669i | −0.550786 | + | 1.86176i | ||||
\(517\) | 620.066 | + | 1073.99i | 1.19935 | + | 2.07734i | ||||
\(518\) | 65.6295 | + | 28.1833i | 0.126698 | + | 0.0544080i | ||||
\(519\) | 902.610 | − | 521.122i | 1.73913 | − | 1.00409i | ||||
\(520\) | −318.834 | + | 117.810i | −0.613143 | + | 0.226558i | ||||
\(521\) | −269.639 | −0.517542 | −0.258771 | − | 0.965939i | \(-0.583317\pi\) | ||||
−0.258771 | + | 0.965939i | \(0.583317\pi\) | |||||||
\(522\) | −0.312547 | − | 0.418402i | −0.000598749 | − | 0.000801536i | ||||
\(523\) | −416.867 | + | 240.678i | −0.797068 | + | 0.460188i | −0.842445 | − | 0.538782i | \(-0.818885\pi\) |
0.0453767 | + | 0.998970i | \(0.485551\pi\) | |||||||
\(524\) | 12.8032 | + | 53.2489i | 0.0244336 | + | 0.101620i | ||||
\(525\) | 157.503 | 0.300006 | ||||||||
\(526\) | 504.235 | − | 376.664i | 0.958621 | − | 0.716092i | ||||
\(527\) | −280.162 | − | 161.752i | −0.531617 | − | 0.306929i | ||||
\(528\) | −785.502 | − | 509.347i | −1.48769 | − | 0.964672i | ||||
\(529\) | −208.706 | + | 361.490i | −0.394530 | + | 0.683346i | ||||
\(530\) | 100.484 | − | 233.992i | 0.189592 | − | 0.441495i | ||||
\(531\) | − | 653.018i | − | 1.22979i | ||||||
\(532\) | 42.9423 | − | 131.796i | 0.0807186 | − | 0.247736i | ||||
\(533\) | −626.509 | −1.17544 | ||||||||
\(534\) | −484.650 | − | 208.124i | −0.907584 | − | 0.389745i | ||||
\(535\) | 177.235 | + | 102.327i | 0.331281 | + | 0.191265i | ||||
\(536\) | 34.1049 | − | 41.0496i | 0.0636286 | − | 0.0765850i | ||||
\(537\) | 273.245 | − | 473.275i | 0.508837 | − | 0.881331i | ||||
\(538\) | −348.456 | − | 466.473i | −0.647688 | − | 0.867050i | ||||
\(539\) | − | 632.679i | − | 1.17380i | ||||||
\(540\) | 1.33082 | + | 5.53493i | 0.00246449 | + | 0.0102499i | ||||
\(541\) | 52.7461 | + | 91.3589i | 0.0974974 | + | 0.168870i | 0.910648 | − | 0.413183i | \(-0.135583\pi\) |
−0.813151 | + | 0.582053i | \(0.802250\pi\) | |||||||
\(542\) | −206.568 | + | 154.306i | −0.381121 | + | 0.284698i | ||||
\(543\) | 812.238i | 1.49583i | ||||||||
\(544\) | 203.700 | − | 136.361i | 0.374449 | − | 0.250663i | ||||
\(545\) | −65.9643 | − | 114.253i | −0.121035 | − | 0.209639i | ||||
\(546\) | −121.024 | + | 281.825i | −0.221656 | + | 0.516163i | ||||
\(547\) | −547.959 | + | 316.364i | −1.00175 | + | 0.578363i | −0.908767 | − | 0.417304i | \(-0.862975\pi\) |
−0.0929871 | + | 0.995667i | \(0.529642\pi\) | |||||||
\(548\) | −151.518 | + | 512.160i | −0.276493 | + | 0.934599i | ||||
\(549\) | 209.223 | − | 362.384i | 0.381097 | − | 0.660080i | ||||
\(550\) | −66.6687 | − | 562.456i | −0.121216 | − | 1.02265i | ||||
\(551\) | −0.478081 | − | 0.293732i | −0.000867660 | − | 0.000533089i | ||||
\(552\) | −334.834 | + | 123.722i | −0.606583 | + | 0.224134i | ||||
\(553\) | −116.551 | + | 201.872i | −0.210761 | + | 0.365049i | ||||
\(554\) | 18.2307 | − | 42.4531i | 0.0329074 | − | 0.0766302i | ||||
\(555\) | 152.884 | − | 88.2679i | 0.275467 | − | 0.159041i | ||||
\(556\) | −852.632 | − | 252.244i | −1.53351 | − | 0.453676i | ||||
\(557\) | 526.047 | + | 911.140i | 0.944429 | + | 1.63580i | 0.756891 | + | 0.653541i | \(0.226717\pi\) |
0.187538 | + | 0.982257i | \(0.439949\pi\) | |||||||
\(558\) | −87.9075 | − | 741.640i | −0.157540 | − | 1.32910i | ||||
\(559\) | − | 1180.29i | − | 2.11143i | ||||||
\(560\) | 33.8886 | − | 52.2621i | 0.0605153 | − | 0.0933253i | ||||
\(561\) | 224.108 | + | 388.166i | 0.399479 | + | 0.691919i | ||||
\(562\) | 131.911 | − | 15.6356i | 0.234717 | − | 0.0278213i | ||||
\(563\) | − | 619.106i | − | 1.09966i | −0.835278 | − | 0.549828i | \(-0.814693\pi\) | ||
0.835278 | − | 0.549828i | \(-0.185307\pi\) | |||||||
\(564\) | −1041.60 | − | 1096.87i | −1.84681 | − | 1.94480i | ||||
\(565\) | 36.0123 | − | 62.3751i | 0.0637385 | − | 0.110398i | ||||
\(566\) | −156.140 | + | 116.637i | −0.275866 | + | 0.206073i | ||||
\(567\) | 130.146 | + | 75.1401i | 0.229535 | + | 0.132522i | ||||
\(568\) | −219.793 | − | 37.6513i | −0.386960 | − | 0.0662874i | ||||
\(569\) | 246.403 | 0.433046 | 0.216523 | − | 0.976277i | \(-0.430528\pi\) | ||||
0.216523 | + | 0.976277i | \(0.430528\pi\) | |||||||
\(570\) | −197.456 | − | 279.981i | −0.346413 | − | 0.491194i | ||||
\(571\) | − | 88.9193i | − | 0.155726i | −0.996964 | − | 0.0778628i | \(-0.975190\pi\) | ||
0.996964 | − | 0.0778628i | \(-0.0248096\pi\) | |||||||
\(572\) | 1057.65 | + | 312.895i | 1.84903 | + | 0.547020i | ||||
\(573\) | 2.72619 | − | 4.72189i | 0.00475774 | − | 0.00824065i | ||||
\(574\) | 91.9791 | − | 68.7086i | 0.160242 | − | 0.119701i | ||||
\(575\) | −187.028 | − | 107.981i | −0.325266 | − | 0.187792i | ||||
\(576\) | 533.632 | + | 188.353i | 0.926445 | + | 0.327001i | ||||
\(577\) | 659.532 | 1.14304 | 0.571518 | − | 0.820589i | \(-0.306355\pi\) | ||||
0.571518 | + | 0.820589i | \(0.306355\pi\) | |||||||
\(578\) | 457.438 | − | 54.2208i | 0.791416 | − | 0.0938076i | ||||
\(579\) | −1365.06 | + | 788.120i | −2.35762 | + | 1.36117i | ||||
\(580\) | −0.173622 | − | 0.182835i | −0.000299349 | − | 0.000315232i | ||||
\(581\) | 162.160 | 0.279105 | ||||||||
\(582\) | 128.878 | + | 1087.29i | 0.221440 | + | 1.86819i | ||||
\(583\) | −715.628 | + | 413.168i | −1.22749 | + | 0.708693i | ||||
\(584\) | 124.974 | − | 729.551i | 0.213997 | − | 1.24923i | ||||
\(585\) | 187.842 | + | 325.353i | 0.321098 | + | 0.556158i | ||||
\(586\) | 207.851 | − | 484.015i | 0.354695 | − | 0.825965i | ||||
\(587\) | 847.759 | + | 489.454i | 1.44422 | + | 0.833822i | 0.998128 | − | 0.0611631i | \(-0.0194810\pi\) |
0.446095 | + | 0.894986i | \(0.352814\pi\) | |||||||
\(588\) | 180.406 | + | 750.314i | 0.306813 | + | 1.27604i | ||||
\(589\) | −382.051 | − | 705.603i | −0.648644 | − | 1.19797i | ||||
\(590\) | −37.1096 | − | 313.079i | −0.0628977 | − | 0.530642i | ||||
\(591\) | −701.509 | − | 405.017i | −1.18699 | − | 0.685307i | ||||
\(592\) | −16.1820 | + | 312.869i | −0.0273345 | + | 0.528496i | ||||
\(593\) | −102.396 | − | 177.355i | −0.172675 | − | 0.299081i | 0.766679 | − | 0.642030i | \(-0.221908\pi\) |
−0.939354 | + | 0.342949i | \(0.888574\pi\) | |||||||
\(594\) | 7.28890 | − | 16.9734i | 0.0122709 | − | 0.0285747i | ||||
\(595\) | −25.8260 | + | 14.9107i | −0.0434051 | + | 0.0250599i | ||||
\(596\) | 92.2114 | − | 22.1714i | 0.154717 | − | 0.0372003i | ||||
\(597\) | −1392.01 | −2.33167 | ||||||||
\(598\) | 336.924 | − | 251.683i | 0.563417 | − | 0.420874i | ||||
\(599\) | −844.006 | + | 487.287i | −1.40903 | + | 0.813501i | −0.995294 | − | 0.0968983i | \(-0.969108\pi\) |
−0.413731 | + | 0.910399i | \(0.635775\pi\) | |||||||
\(600\) | 239.447 | + | 648.024i | 0.399078 | + | 1.08004i | ||||
\(601\) | 371.313 | 0.617825 | 0.308913 | − | 0.951090i | \(-0.400035\pi\) | ||||
0.308913 | + | 0.951090i | \(0.400035\pi\) | |||||||
\(602\) | 129.441 | + | 173.281i | 0.215019 | + | 0.287842i | ||||
\(603\) | −51.0840 | − | 29.4933i | −0.0847164 | − | 0.0489110i | ||||
\(604\) | 225.490 | − | 214.129i | 0.373328 | − | 0.354518i | ||||
\(605\) | 75.6494 | − | 131.029i | 0.125040 | − | 0.216576i | ||||
\(606\) | −708.690 | − | 304.334i | −1.16946 | − | 0.502201i | ||||
\(607\) | 692.679i | 1.14115i | 0.821245 | + | 0.570576i | \(0.193280\pi\) | ||||
−0.821245 | + | 0.570576i | \(0.806720\pi\) | |||||||
\(608\) | 607.539 | − | 23.6846i | 0.999241 | − | 0.0389550i | ||||
\(609\) | −0.227516 | −0.000373589 | ||||||||
\(610\) | 79.7148 | − | 185.629i | 0.130680 | − | 0.304309i | ||||
\(611\) | 1543.33 | + | 891.043i | 2.52591 | + | 1.45834i | ||||
\(612\) | −186.565 | − | 196.464i | −0.304845 | − | 0.321020i | ||||
\(613\) | 257.281 | − | 445.624i | 0.419708 | − | 0.726955i | −0.576202 | − | 0.817307i | \(-0.695466\pi\) |
0.995910 | + | 0.0903521i | \(0.0287992\pi\) | |||||||
\(614\) | −454.328 | + | 339.384i | −0.739948 | + | 0.552743i | ||||
\(615\) | − | 283.764i | − | 0.461404i | ||||||
\(616\) | −189.590 | + | 70.0541i | −0.307776 | + | 0.113724i | ||||
\(617\) | 10.0069 | + | 17.3324i | 0.0162186 | + | 0.0280915i | 0.874021 | − | 0.485888i | \(-0.161504\pi\) |
−0.857802 | + | 0.513980i | \(0.828171\pi\) | |||||||
\(618\) | 342.864 | + | 458.987i | 0.554797 | + | 0.742698i | ||||
\(619\) | − | 266.861i | − | 0.431117i | −0.976491 | − | 0.215558i | \(-0.930843\pi\) | ||
0.976491 | − | 0.215558i | \(-0.0691572\pi\) | |||||||
\(620\) | −84.2917 | − | 350.571i | −0.135954 | − | 0.565438i | ||||
\(621\) | −3.52166 | − | 6.09969i | −0.00567094 | − | 0.00982236i | ||||
\(622\) | −467.713 | − | 200.851i | −0.751950 | − | 0.322911i | ||||
\(623\) | −98.6174 | + | 56.9368i | −0.158294 | + | 0.0913913i | ||||
\(624\) | −1343.52 | − | 69.4886i | −2.15307 | − | 0.111360i | ||||
\(625\) | −152.033 | + | 263.328i | −0.243252 | + | 0.421325i | ||||
\(626\) | −666.155 | + | 78.9603i | −1.06415 | + | 0.126135i | ||||
\(627\) | −30.3915 | + | 1111.31i | −0.0484713 | + | 1.77242i | ||||
\(628\) | 983.169 | − | 236.394i | 1.56556 | − | 0.376423i | ||||
\(629\) | 74.9959 | − | 129.897i | 0.119230 | − | 0.206513i | ||||
\(630\) | −63.2586 | − | 27.1652i | −0.100410 | − | 0.0431194i | ||||
\(631\) | 707.959 | − | 408.740i | 1.12196 | − | 0.647766i | 0.180062 | − | 0.983655i | \(-0.442370\pi\) |
0.941901 | + | 0.335890i | \(0.109037\pi\) | |||||||
\(632\) | −1007.76 | − | 172.633i | −1.59456 | − | 0.273153i | ||||
\(633\) | −117.682 | − | 203.832i | −0.185912 | − | 0.322009i | ||||
\(634\) | −524.582 | + | 62.1794i | −0.827417 | + | 0.0980748i | ||||
\(635\) | − | 71.0954i | − | 0.111961i | ||||||
\(636\) | 730.873 | − | 694.048i | 1.14917 | − | 1.09127i | ||||
\(637\) | −454.584 | − | 787.362i | −0.713632 | − | 1.23605i | ||||
\(638\) | 0.0963040 | + | 0.812477i | 0.000150947 | + | 0.00127348i | ||||
\(639\) | 246.469i | 0.385711i | ||||||||
\(640\) | 266.545 | + | 59.9774i | 0.416476 | + | 0.0937147i | ||||
\(641\) | 118.269 | − | 204.847i | 0.184506 | − | 0.319574i | −0.758904 | − | 0.651203i | \(-0.774265\pi\) |
0.943410 | + | 0.331628i | \(0.107598\pi\) | |||||||
\(642\) | 484.756 | + | 648.935i | 0.755071 | + | 1.01080i | ||||
\(643\) | −364.648 | − | 210.529i | −0.567103 | − | 0.327417i | 0.188888 | − | 0.981999i | \(-0.439512\pi\) |
−0.755992 | + | 0.654581i | \(0.772845\pi\) | |||||||
\(644\) | −21.8627 | + | 73.9001i | −0.0339483 | + | 0.114752i | ||||
\(645\) | 534.588 | 0.828818 | ||||||||
\(646\) | −264.231 | − | 122.129i | −0.409026 | − | 0.189055i | ||||
\(647\) | 633.110i | 0.978532i | 0.872135 | + | 0.489266i | \(0.162735\pi\) | ||||
−0.872135 | + | 0.489266i | \(0.837265\pi\) | |||||||
\(648\) | −111.296 | + | 649.702i | −0.171753 | + | 1.00263i | ||||
\(649\) | −511.513 | + | 885.967i | −0.788156 | + | 1.36513i | ||||
\(650\) | −487.096 | − | 652.068i | −0.749379 | − | 1.00318i | ||||
\(651\) | −281.764 | − | 162.677i | −0.432818 | − | 0.249887i | ||||
\(652\) | 168.737 | − | 160.235i | 0.258798 | − | 0.245759i | ||||
\(653\) | −763.077 | −1.16857 | −0.584286 | − | 0.811548i | \(-0.698625\pi\) | ||||
−0.584286 | + | 0.811548i | \(0.698625\pi\) | |||||||
\(654\) | −61.4625 | − | 518.534i | −0.0939793 | − | 0.792865i | ||||
\(655\) | 25.3088 | − | 14.6120i | 0.0386393 | − | 0.0223084i | ||||
\(656\) | 422.524 | + | 273.979i | 0.644092 | + | 0.417652i | ||||
\(657\) | −818.095 | −1.24520 | ||||||||
\(658\) | −324.299 | + | 38.4396i | −0.492856 | + | 0.0584189i | ||||
\(659\) | −308.832 | + | 178.304i | −0.468637 | + | 0.270568i | −0.715669 | − | 0.698440i | \(-0.753878\pi\) |
0.247032 | + | 0.969007i | \(0.420545\pi\) | |||||||
\(660\) | −141.719 | + | 479.038i | −0.214726 | + | 0.725815i | ||||
\(661\) | 131.256 | + | 227.342i | 0.198572 | + | 0.343937i | 0.948066 | − | 0.318075i | \(-0.103036\pi\) |
−0.749494 | + | 0.662011i | \(0.769703\pi\) | |||||||
\(662\) | 1123.21 | + | 482.343i | 1.69670 | + | 0.728614i | ||||
\(663\) | 557.800 | + | 322.046i | 0.841327 | + | 0.485740i | ||||
\(664\) | 246.527 | + | 667.185i | 0.371275 | + | 1.00480i | ||||
\(665\) | −73.9391 | − | 2.02205i | −0.111187 | − | 0.00304068i | ||||
\(666\) | 343.860 | − | 40.7582i | 0.516306 | − | 0.0611984i | ||||
\(667\) | 0.270165 | + | 0.155980i | 0.000405045 | + | 0.000233853i | ||||
\(668\) | −617.132 | − | 182.573i | −0.923851 | − | 0.273313i | ||||
\(669\) | −87.1092 | − | 150.878i | −0.130208 | − | 0.225527i | ||||
\(670\) | −26.1674 | − | 11.2371i | −0.0390558 | − | 0.0167718i | ||||
\(671\) | −567.716 | + | 327.771i | −0.846074 | + | 0.488481i | ||||
\(672\) | 204.865 | − | 137.140i | 0.304859 | − | 0.204078i | ||||
\(673\) | 776.136 | 1.15325 | 0.576624 | − | 0.817010i | \(-0.304370\pi\) | ||||
0.576624 | + | 0.817010i | \(0.304370\pi\) | |||||||
\(674\) | −82.4190 | − | 110.333i | −0.122283 | − | 0.163699i | ||||
\(675\) | −11.8051 | + | 6.81567i | −0.0174890 | + | 0.0100973i | ||||
\(676\) | 883.779 | − | 212.496i | 1.30737 | − | 0.314344i | ||||
\(677\) | 114.432 | 0.169029 | 0.0845144 | − | 0.996422i | \(-0.473066\pi\) | ||||
0.0845144 | + | 0.996422i | \(0.473066\pi\) | |||||||
\(678\) | 228.382 | − | 170.602i | 0.336847 | − | 0.251626i | ||||
\(679\) | 204.715 | + | 118.192i | 0.301494 | + | 0.174068i | ||||
\(680\) | −100.610 | − | 83.5893i | −0.147956 | − | 0.122925i | ||||
\(681\) | 585.168 | − | 1013.54i | 0.859278 | − | 1.48831i | ||||
\(682\) | −461.665 | + | 1075.06i | −0.676928 | + | 1.57634i | ||||
\(683\) | − | 614.331i | − | 0.899460i | −0.893164 | − | 0.449730i | \(-0.851520\pi\) | ||
0.893164 | − | 0.449730i | \(-0.148480\pi\) | |||||||
\(684\) | −139.179 | − | 657.433i | −0.203478 | − | 0.961159i | ||||
\(685\) | 285.004 | 0.416064 | ||||||||
\(686\) | 317.325 | + | 136.269i | 0.462573 | + | 0.198643i | ||||
\(687\) | −516.440 | − | 298.167i | −0.751733 | − | 0.434013i | ||||
\(688\) | −516.155 | + | 796.001i | −0.750225 | + | 1.15698i | ||||
\(689\) | −593.727 | + | 1028.37i | −0.861723 | + | 1.49255i | ||||
\(690\) | 113.994 | + | 152.602i | 0.165209 | + | 0.221163i | ||||
\(691\) | − | 388.024i | − | 0.561540i | −0.959775 | − | 0.280770i | \(-0.909410\pi\) | ||
0.959775 | − | 0.280770i | \(-0.0905898\pi\) | |||||||
\(692\) | 959.625 | − | 230.733i | 1.38674 | − | 0.333429i | ||||
\(693\) | 111.698 | + | 193.466i | 0.161180 | + | 0.279172i | ||||
\(694\) | 789.972 | − | 590.111i | 1.13829 | − | 0.850303i | ||||
\(695\) | 474.468i | 0.682687i | ||||||||
\(696\) | −0.345885 | − | 0.936082i | −0.000496961 | − | 0.00134495i | ||||
\(697\) | −120.548 | − | 208.796i | −0.172953 | − | 0.299564i | ||||
\(698\) | −142.481 | + | 331.790i | −0.204128 | + | 0.475344i | ||||
\(699\) | −326.189 | + | 188.325i | −0.466651 | + | 0.269421i | ||||
\(700\) | 143.023 | + | 42.3122i | 0.204319 | + | 0.0604459i | ||||
\(701\) | 630.359 | − | 1091.81i | 0.899229 | − | 1.55751i | 0.0707461 | − | 0.997494i | \(-0.477462\pi\) |
0.828482 | − | 0.560015i | \(-0.189205\pi\) | |||||||
\(702\) | −3.12452 | − | 26.3603i | −0.00445089 | − | 0.0375503i | ||||
\(703\) | 327.151 | − | 177.137i | 0.465365 | − | 0.251973i | ||||
\(704\) | −576.455 | − | 673.541i | −0.818828 | − | 0.956734i | ||||
\(705\) | −403.579 | + | 699.019i | −0.572452 | + | 0.991516i | ||||
\(706\) | 348.272 | − | 811.009i | 0.493304 | − | 1.14874i | ||||
\(707\) | −144.206 | + | 83.2571i | −0.203968 | + | 0.117761i | ||||
\(708\) | 353.989 | − | 1196.55i | 0.499985 | − | 1.69005i | ||||
\(709\) | −644.880 | − | 1116.97i | −0.909563 | − | 1.57541i | −0.814672 | − | 0.579921i | \(-0.803083\pi\) |
−0.0948904 | − | 0.995488i | \(-0.530250\pi\) | |||||||
\(710\) | 14.0063 | + | 118.166i | 0.0197272 | + | 0.166431i | ||||
\(711\) | 1130.07i | 1.58942i | ||||||||
\(712\) | −384.183 | − | 319.188i | −0.539583 | − | 0.448298i | ||||
\(713\) | 223.055 | + | 386.342i | 0.312840 | + | 0.541854i | ||||
\(714\) | −117.210 | + | 13.8931i | −0.164160 | + | 0.0194581i | ||||
\(715\) | − | 588.553i | − | 0.823151i | ||||||
\(716\) | 375.267 | − | 356.359i | 0.524116 | − | 0.497708i | ||||
\(717\) | −173.804 | + | 301.038i | −0.242405 | + | 0.419858i | ||||
\(718\) | −222.015 | + | 165.846i | −0.309213 | + | 0.230983i | ||||
\(719\) | 826.687 | + | 477.288i | 1.14977 | + | 0.663822i | 0.948832 | − | 0.315781i | \(-0.102266\pi\) |
0.200942 | + | 0.979603i | \(0.435600\pi\) | |||||||
\(720\) | 15.5975 | − | 301.567i | 0.0216631 | − | 0.418843i | ||||
\(721\) | 123.689 | 0.171551 | ||||||||
\(722\) | −399.830 | − | 601.182i | −0.553781 | − | 0.832662i | ||||
\(723\) | 188.345i | 0.260504i | ||||||||
\(724\) | −218.202 | + | 737.565i | −0.301384 | + | 1.01874i | ||||
\(725\) | 0.301877 | − | 0.522866i | 0.000416382 | − | 0.000721194i | ||||
\(726\) | 479.753 | − | 358.376i | 0.660816 | − | 0.493631i | ||||
\(727\) | 882.411 | + | 509.460i | 1.21377 | + | 0.700771i | 0.963578 | − | 0.267426i | \(-0.0861730\pi\) |
0.250192 | + | 0.968196i | \(0.419506\pi\) | |||||||
\(728\) | −185.609 | + | 223.403i | −0.254957 | + | 0.306873i | ||||
\(729\) | 703.208 | 0.964620 | ||||||||
\(730\) | −392.222 | + | 46.4906i | −0.537291 | + | 0.0636858i | ||||
\(731\) | 393.354 | − | 227.103i | 0.538105 | − | 0.310675i | ||||
\(732\) | 579.809 | − | 550.596i | 0.792089 | − | 0.752180i | ||||
\(733\) | −442.473 | −0.603647 | −0.301823 | − | 0.953364i | \(-0.597595\pi\) | ||||
−0.301823 | + | 0.953364i | \(0.597595\pi\) | |||||||
\(734\) | 82.7874 | + | 698.443i | 0.112789 | + | 0.951557i | ||||
\(735\) | 356.619 | − | 205.894i | 0.485195 | − | 0.280128i | ||||
\(736\) | −337.288 | + | 22.3969i | −0.458272 | + | 0.0304306i | ||||
\(737\) | 46.2046 | + | 80.0288i | 0.0626929 | + | 0.108587i | ||||
\(738\) | 219.623 | − | 511.427i | 0.297592 | − | 0.692991i | ||||
\(739\) | −396.012 | − | 228.638i | −0.535876 | − | 0.309388i | 0.207530 | − | 0.978229i | \(-0.433458\pi\) |
−0.743406 | + | 0.668841i | \(0.766791\pi\) | |||||||
\(740\) | 162.542 | − | 39.0817i | 0.219651 | − | 0.0528131i | ||||
\(741\) | 760.660 | + | 1404.85i | 1.02653 | + | 1.89588i | ||||
\(742\) | −25.6134 | − | 216.090i | −0.0345194 | − | 0.291226i | ||||
\(743\) | −1040.55 | − | 600.759i | −1.40046 | − | 0.808559i | −0.406025 | − | 0.913862i | \(-0.633085\pi\) |
−0.994440 | + | 0.105303i | \(0.966419\pi\) | |||||||
\(744\) | 240.953 | − | 1406.59i | 0.323862 | − | 1.89058i | ||||
\(745\) | −25.3037 | − | 43.8273i | −0.0339647 | − | 0.0588287i | ||||
\(746\) | −155.304 | + | 361.649i | −0.208182 | + | 0.484785i | ||||
\(747\) | 680.825 | − | 393.075i | 0.911413 | − | 0.526204i | ||||
\(748\) | 99.2265 | + | 412.686i | 0.132656 | + | 0.551719i | ||||
\(749\) | 174.876 | 0.233479 | ||||||||
\(750\) | 656.496 | − | 490.404i | 0.875327 | − | 0.653871i | ||||
\(751\) | −257.509 | + | 148.673i | −0.342888 | + | 0.197967i | −0.661548 | − | 0.749902i | \(-0.730100\pi\) |
0.318660 | + | 0.947869i | \(0.396767\pi\) | |||||||
\(752\) | −651.176 | − | 1275.84i | −0.865925 | − | 1.69660i | ||||
\(753\) | 462.731 | 0.614517 | ||||||||
\(754\) | 0.703619 | + | 0.941924i | 0.000933182 | + | 0.00124924i | ||||
\(755\) | −143.702 | − | 82.9663i | −0.190334 | − | 0.109889i | ||||
\(756\) | 3.34962 | + | 3.52735i | 0.00443072 | + | 0.00466580i | ||||
\(757\) | −153.556 | + | 265.967i | −0.202848 | + | 0.351344i | −0.949445 | − | 0.313933i | \(-0.898353\pi\) |
0.746597 | + | 0.665277i | \(0.231687\pi\) | |||||||
\(758\) | 311.031 | + | 133.566i | 0.410331 | + | 0.176209i | ||||
\(759\) | − | 618.088i | − | 0.814345i | ||||||
\(760\) | −104.088 | − | 307.286i | −0.136958 | − | 0.404324i | ||||
\(761\) | −198.836 | −0.261283 | −0.130641 | − | 0.991430i | \(-0.541704\pi\) | ||||
−0.130641 | + | 0.991430i | \(0.541704\pi\) | |||||||
\(762\) | 111.033 | − | 258.558i | 0.145712 | − | 0.339315i | ||||
\(763\) | −97.6294 | − | 56.3664i | −0.127955 | − | 0.0738746i | ||||
\(764\) | 3.74406 | − | 3.55542i | 0.00490060 | − | 0.00465369i | ||||
\(765\) | −72.2866 | + | 125.204i | −0.0944923 | + | 0.163665i | ||||
\(766\) | −635.429 | + | 474.667i | −0.829542 | + | 0.619669i | ||||
\(767\) | 1470.10i | 1.91669i | ||||||||
\(768\) | 875.694 | + | 634.399i | 1.14023 | + | 0.826041i | ||||
\(769\) | 360.826 | + | 624.969i | 0.469214 | + | 0.812703i | 0.999381 | − | 0.0351906i | \(-0.0112038\pi\) |
−0.530166 | + | 0.847894i | \(0.677870\pi\) | |||||||
\(770\) | 64.5459 | + | 86.4066i | 0.0838259 | + | 0.112216i | ||||
\(771\) | − | 1892.36i | − | 2.45443i | ||||||
\(772\) | −1451.29 | + | 348.950i | −1.87991 | + | 0.452007i | ||||
\(773\) | 593.625 | + | 1028.19i | 0.767950 | + | 1.33013i | 0.938673 | + | 0.344810i | \(0.112056\pi\) |
−0.170723 | + | 0.985319i | \(0.554610\pi\) | |||||||
\(774\) | 963.487 | + | 413.751i | 1.24482 | + | 0.534563i | ||||
\(775\) | 747.711 | − | 431.691i | 0.964789 | − | 0.557021i | ||||
\(776\) | −175.063 | + | 1021.95i | −0.225597 | + | 1.31695i | ||||
\(777\) | 75.4247 | − | 130.639i | 0.0970717 | − | 0.168133i | ||||
\(778\) | 764.939 | − | 90.6692i | 0.983212 | − | 0.116541i | ||||
\(779\) | 16.3477 | − | 597.776i | 0.0209855 | − | 0.767364i | ||||
\(780\) | 167.824 | + | 697.984i | 0.215159 | + | 0.894851i | ||||
\(781\) | 193.061 | − | 334.392i | 0.247197 | − | 0.428158i | ||||
\(782\) | 148.706 | + | 63.8592i | 0.190162 | + | 0.0816613i | ||||
\(783\) | 0.0170527 | − | 0.00984536i | 2.17786e−5 | − | 1.25739e-5i | ||||
\(784\) | −37.7462 | + | 729.800i | −0.0481457 | + | 0.930867i | ||||
\(785\) | −269.791 | − | 467.292i | −0.343683 | − | 0.595277i | ||||
\(786\) | 114.863 | − | 13.6148i | 0.146136 | − | 0.0173216i | ||||
\(787\) | − | 701.705i | − | 0.891620i | −0.895128 | − | 0.445810i | \(-0.852916\pi\) | ||
0.895128 | − | 0.445810i | \(-0.147084\pi\) | |||||||
\(788\) | −528.212 | − | 556.237i | −0.670319 | − | 0.705885i | ||||
\(789\) | −664.633 | − | 1151.18i | −0.842373 | − | 1.45903i | ||||
\(790\) | 64.2198 | + | 541.796i | 0.0812908 | + | 0.685817i | ||||
\(791\) | − | 61.5448i | − | 0.0778064i | ||||||
\(792\) | −626.179 | + | 753.685i | −0.790630 | + | 0.951622i | ||||
\(793\) | −471.010 | + | 815.814i | −0.593960 | + | 1.02877i | ||||
\(794\) | 338.172 | + | 452.706i | 0.425910 | + | 0.570159i | ||||
\(795\) | −465.776 | − | 268.916i | −0.585882 | − | 0.338259i | ||||
\(796\) | −1264.04 | − | 373.954i | −1.58798 | − | 0.469791i | ||||
\(797\) | 262.955 | 0.329930 | 0.164965 | − | 0.986299i | \(-0.447249\pi\) | ||||
0.164965 | + | 0.986299i | \(0.447249\pi\) | |||||||
\(798\) | −265.742 | − | 122.828i | −0.333010 | − | 0.153919i | ||||
\(799\) | 685.792i | 0.858313i | ||||||||
\(800\) | 43.3461 | + | 652.774i | 0.0541826 | + | 0.815968i | ||||
\(801\) | −276.028 | + | 478.095i | −0.344605 | + | 0.596873i | ||||
\(802\) | 9.58735 | + | 12.8344i | 0.0119543 | + | 0.0160030i | ||||
\(803\) | 1109.93 | + | 640.819i | 1.38223 | + | 0.798031i | ||||
\(804\) | −77.6155 | − | 81.7336i | −0.0965367 | − | 0.101659i | ||||
\(805\) | 41.1235 | 0.0510851 | ||||||||
\(806\) | 197.901 | + | 1669.61i | 0.245535 | + | 2.07148i | ||||
\(807\) | −1064.97 | + | 614.859i | −1.31966 | + | 0.761907i | ||||
\(808\) | −561.780 | − | 466.740i | −0.695273 | − | 0.577649i | ||||
\(809\) | −1368.29 | −1.69134 | −0.845669 | − | 0.533708i | \(-0.820798\pi\) | ||||
−0.845669 | + | 0.533708i | \(0.820798\pi\) | |||||||
\(810\) | 349.294 | − | 41.4023i | 0.431227 | − | 0.0511139i | ||||
\(811\) | −219.521 | + | 126.740i | −0.270679 | + | 0.156277i | −0.629196 | − | 0.777246i | \(-0.716616\pi\) |
0.358517 | + | 0.933523i | \(0.383283\pi\) | |||||||
\(812\) | −0.206599 | − | 0.0611206i | −0.000254433 | − | 7.52717e-5i | ||||
\(813\) | 272.277 | + | 471.598i | 0.334904 | + | 0.580071i | ||||
\(814\) | −498.450 | − | 214.050i | −0.612346 | − | 0.262961i | ||||
\(815\) | −107.534 | − | 62.0846i | −0.131943 | − | 0.0761774i | ||||
\(816\) | −235.352 | − | 461.123i | −0.288421 | − | 0.565102i | ||||
\(817\) | 1126.16 | + | 30.7977i | 1.37841 | + | 0.0376961i | ||||
\(818\) | −308.532 | + | 36.5708i | −0.377179 | + | 0.0447075i | ||||
\(819\) | 278.013 | + | 160.511i | 0.339455 | + | 0.195984i | ||||
\(820\) | 76.2312 | − | 257.676i | 0.0929649 | − | 0.314239i | ||||
\(821\) | −772.109 | − | 1337.33i | −0.940450 | − | 1.62891i | −0.764615 | − | 0.644487i | \(-0.777071\pi\) |
−0.175835 | − | 0.984420i | \(-0.556263\pi\) | |||||||
\(822\) | 1036.50 | + | 445.103i | 1.26094 | + | 0.541488i | ||||
\(823\) | 394.293 | − | 227.645i | 0.479093 | − | 0.276604i | −0.240946 | − | 0.970539i | \(-0.577458\pi\) |
0.720038 | + | 0.693934i | \(0.244124\pi\) | |||||||
\(824\) | 188.040 | + | 508.899i | 0.228203 | + | 0.617596i | ||||
\(825\) | −1196.22 | −1.44997 | ||||||||
\(826\) | −161.224 | − | 215.828i | −0.195187 | − | 0.261294i | ||||
\(827\) | 961.939 | − | 555.376i | 1.16317 | − | 0.671555i | 0.211106 | − | 0.977463i | \(-0.432294\pi\) |
0.952061 | + | 0.305909i | \(0.0989602\pi\) | |||||||
\(828\) | 87.3431 | + | 363.262i | 0.105487 | + | 0.438723i | ||||
\(829\) | 200.976 | 0.242432 | 0.121216 | − | 0.992626i | \(-0.461321\pi\) | ||||
0.121216 | + | 0.992626i | \(0.461321\pi\) | |||||||
\(830\) | 304.073 | − | 227.143i | 0.366353 | − | 0.273666i | ||||
\(831\) | −84.5055 | − | 48.7893i | −0.101691 | − | 0.0587115i | ||||
\(832\) | −1201.34 | − | 424.027i | −1.44391 | − | 0.509648i | ||||
\(833\) | 174.935 | − | 302.997i | 0.210007 | − | 0.363742i | ||||
\(834\) | −740.997 | + | 1725.53i | −0.888486 | + | 2.06898i | ||||
\(835\) | 343.418i | 0.411279i | ||||||||
\(836\) | −326.143 | + | 1000.98i | −0.390123 | + | 1.19734i | ||||
\(837\) | 28.1582 | 0.0336418 | ||||||||
\(838\) | −740.143 | − | 317.840i | −0.883225 | − | 0.379284i | ||||
\(839\) | −671.461 | − | 387.668i | −0.800311 | − | 0.462060i | 0.0432688 | − | 0.999063i | \(-0.486223\pi\) |
−0.843580 | + | 0.537004i | \(0.819556\pi\) | |||||||
\(840\) | −101.186 | − | 84.0674i | −0.120459 | − | 0.100080i | ||||
\(841\) | 420.500 | − | 728.327i | 0.499999 | − | 0.866025i | ||||
\(842\) | 544.850 | + | 729.382i | 0.647090 | + | 0.866250i | ||||
\(843\) | − | 280.546i | − | 0.332795i | ||||||
\(844\) | −52.1052 | − | 216.707i | −0.0617360 | − | 0.256762i | ||||
\(845\) | −242.518 | − | 420.053i | −0.287003 | − | 0.497104i | ||||
\(846\) | −1268.38 | + | 947.486i | −1.49927 | + | 1.11996i | ||||
\(847\) | − | 129.284i | − | 0.152638i | ||||||
\(848\) | 850.132 | − | 433.897i | 1.00251 | − | 0.511671i | ||||
\(849\) | 205.809 | + | 356.471i | 0.242413 | + | 0.419872i | ||||
\(850\) | 123.590 | − | 287.800i | 0.145401 | − | 0.338589i | ||||
\(851\) | −179.127 | + | 103.419i | −0.210490 | + | 0.121526i | ||||
\(852\) | −133.607 | + | 451.616i | −0.156815 | + | 0.530066i | ||||
\(853\) | −328.774 | + | 569.453i | −0.385432 | + | 0.667588i | −0.991829 | − | 0.127574i | \(-0.959281\pi\) |
0.606397 | + | 0.795162i | \(0.292614\pi\) | |||||||
\(854\) | −20.3194 | − | 171.426i | −0.0237932 | − | 0.200734i | ||||
\(855\) | −315.333 | + | 170.738i | −0.368810 | + | 0.199694i | ||||
\(856\) | 265.858 | + | 719.502i | 0.310582 | + | 0.840540i | ||||
\(857\) | 325.821 | − | 564.338i | 0.380187 | − | 0.658504i | −0.610901 | − | 0.791707i | \(-0.709193\pi\) |
0.991089 | + | 0.133203i | \(0.0425262\pi\) | |||||||
\(858\) | 919.169 | − | 2140.43i | 1.07129 | − | 2.49468i | ||||
\(859\) | −746.478 | + | 430.979i | −0.869008 | + | 0.501722i | −0.867019 | − | 0.498276i | \(-0.833967\pi\) |
−0.00198969 | + | 0.999998i | \(0.500633\pi\) | |||||||
\(860\) | 485.441 | + | 143.613i | 0.564466 | + | 0.166992i | ||||
\(861\) | −121.238 | − | 209.990i | −0.140810 | − | 0.243891i | ||||
\(862\) | 116.305 | + | 981.217i | 0.134925 | + | 1.13830i | ||||
\(863\) | − | 658.610i | − | 0.763163i | −0.924335 | − | 0.381582i | \(-0.875380\pi\) | ||
0.924335 | − | 0.381582i | \(-0.124620\pi\) | |||||||
\(864\) | −9.42045 | + | 19.1441i | −0.0109033 | + | 0.0221575i | ||||
\(865\) | −263.331 | − | 456.103i | −0.304429 | − | 0.527286i | ||||
\(866\) | −506.468 | + | 60.0323i | −0.584836 | + | 0.0693214i | ||||
\(867\) | − | 972.872i | − | 1.12211i | ||||||
\(868\) | −212.159 | − | 223.415i | −0.244422 | − | 0.257391i | ||||
\(869\) | 885.195 | − | 1533.20i | 1.01864 | − | 1.76433i | ||||
\(870\) | −0.426624 | + | 0.318689i | −0.000490372 | + | 0.000366309i | ||||
\(871\) | 115.002 | + | 66.3966i | 0.132035 | + | 0.0762304i | ||||
\(872\) | 83.4886 | − | 487.374i | 0.0957438 | − | 0.558915i | ||||
\(873\) | 1145.98 | 1.31270 | ||||||||
\(874\) | 231.349 | + | 328.039i | 0.264701 | + | 0.375331i | ||||
\(875\) | − | 176.913i | − | 0.202187i | ||||||
\(876\) | −1499.03 | − | 443.475i | −1.71122 | − | 0.506250i | ||||
\(877\) | 571.800 | − | 990.387i | 0.651996 | − | 1.12929i | −0.330642 | − | 0.943756i | \(-0.607265\pi\) |
0.982638 | − | 0.185534i | \(-0.0594014\pi\) | |||||||
\(878\) | 148.381 | − | 110.841i | 0.168999 | − | 0.126242i | ||||
\(879\) | −963.462 | − | 556.255i | −1.09609 | − | 0.632827i | ||||
\(880\) | −257.381 | + | 396.926i | −0.292478 | + | 0.451053i | ||||
\(881\) | 1399.10 | 1.58808 | 0.794041 | − | 0.607864i | \(-0.207973\pi\) | ||||
0.794041 | + | 0.607864i | \(0.207973\pi\) | |||||||
\(882\) | 802.088 | − | 95.0726i | 0.909397 | − | 0.107792i | ||||
\(883\) | 347.651 | − | 200.716i | 0.393716 | − | 0.227312i | −0.290053 | − | 0.957011i | \(-0.593673\pi\) |
0.683769 | + | 0.729699i | \(0.260340\pi\) | |||||||
\(884\) | 420.003 | + | 442.288i | 0.475117 | + | 0.500326i | ||||
\(885\) | −665.850 | −0.752373 | ||||||||
\(886\) | −86.9198 | − | 733.306i | −0.0981036 | − | 0.827660i | ||||
\(887\) | −782.180 | + | 451.592i | −0.881826 | + | 0.509123i | −0.871260 | − | 0.490821i | \(-0.836697\pi\) |
−0.0105662 | + | 0.999944i | \(0.503363\pi\) | |||||||
\(888\) | 652.163 | + | 111.717i | 0.734418 | + | 0.125808i | ||||
\(889\) | −30.3754 | − | 52.6118i | −0.0341681 | − | 0.0591809i | ||||
\(890\) | −105.168 | + | 244.901i | −0.118166 | + | 0.275170i | ||||
\(891\) | −988.451 | − | 570.682i | −1.10937 | − | 0.640496i | ||||
\(892\) | −38.5687 | − | 160.408i | −0.0432384 | − | 0.179830i | ||||
\(893\) | −890.449 | + | 1449.30i | −0.997143 | + | 1.62296i | ||||
\(894\) | −23.5769 | − | 198.908i | −0.0263723 | − | 0.222492i | ||||
\(895\) | −239.153 | − | 138.075i | −0.267210 | − | 0.154274i | ||||
\(896\) | 222.873 | − | 69.4968i | 0.248742 | − | 0.0775634i | ||||
\(897\) | −444.100 | − | 769.203i | −0.495094 | − | 0.857529i | ||||
\(898\) | −360.832 | + | 840.257i | −0.401818 | + | 0.935698i | ||||
\(899\) | −1.08008 | + | 0.623585i | −0.00120143 | + | 0.000693643i | ||||
\(900\) | 703.043 | − | 169.040i | 0.781159 | − | 0.187823i | ||||
\(901\) | −456.963 | −0.507173 | ||||||||
\(902\) | −698.573 | + | 521.835i | −0.774471 | + | 0.578531i | ||||
\(903\) | 395.604 | − | 228.402i | 0.438100 | − | 0.252937i | ||||
\(904\) | 253.217 | − | 93.5646i | 0.280108 | − | 0.103501i | ||||
\(905\) | 410.436 | 0.453521 | ||||||||
\(906\) | −393.039 | − | 526.155i | −0.433818 | − | 0.580745i | ||||
\(907\) | 1216.26 | + | 702.209i | 1.34097 | + | 0.774211i | 0.986950 | − | 0.161026i | \(-0.0514802\pi\) |
0.354023 | + | 0.935237i | \(0.384814\pi\) | |||||||
\(908\) | 803.652 | − | 763.160i | 0.885080 | − | 0.840485i | ||||
\(909\) | −403.629 | + | 699.105i | −0.444036 | + | 0.769093i | ||||
\(910\) | 142.410 | + | 61.1555i | 0.156495 | + | 0.0672038i | ||||
\(911\) | 584.988i | 0.642138i | 0.947056 | + | 0.321069i | \(0.104042\pi\) | ||||
−0.947056 | + | 0.321069i | \(0.895958\pi\) | |||||||
\(912\) | 101.359 | − | 1280.09i | 0.111139 | − | 1.40361i | ||||
\(913\) | −1231.59 | −1.34895 | ||||||||
\(914\) | 65.9151 | − | 153.494i | 0.0721172 | − | 0.167937i | ||||
\(915\) | −369.505 | − | 213.334i | −0.403831 | − | 0.233152i | ||||
\(916\) | −388.861 | − | 409.494i | −0.424521 | − | 0.447045i | ||||
\(917\) | 12.4859 | − | 21.6263i | 0.0136161 | − | 0.0235837i | ||||
\(918\) | 8.18387 | − | 6.11337i | 0.00891489 | − | 0.00665944i | ||||
\(919\) | − | 299.511i | − | 0.325909i | −0.986634 | − | 0.162955i | \(-0.947898\pi\) | ||
0.986634 | − | 0.162955i | \(-0.0521025\pi\) | |||||||
\(920\) | 62.5187 | + | 169.197i | 0.0679551 | + | 0.183909i | ||||
\(921\) | 598.851 | + | 1037.24i | 0.650218 | + | 1.12621i | ||||
\(922\) | 289.404 | + | 387.420i | 0.313887 | + | 0.420196i | ||||
\(923\) | − | 554.862i | − | 0.601151i | ||||||
\(924\) | 99.7939 | + | 415.046i | 0.108002 | + | 0.449184i | ||||
\(925\) | 200.153 | + | 346.675i | 0.216381 | + | 0.374784i | ||||
\(926\) | 292.641 | + | 125.669i | 0.316027 | + | 0.135712i | ||||
\(927\) | 519.303 | − | 299.820i | 0.560197 | − | 0.323430i | ||||
\(928\) | −0.0626142 | − | 0.942944i | −6.74722e−5 | − | 0.00101610i | ||||
\(929\) | −119.560 | + | 207.084i | −0.128697 | + | 0.222910i | −0.923172 | − | 0.384387i | \(-0.874413\pi\) |
0.794475 | + | 0.607297i | \(0.207746\pi\) | |||||||
\(930\) | −756.214 | + | 89.6350i | −0.813133 | + | 0.0963818i | ||||
\(931\) | 763.114 | − | 413.191i | 0.819671 | − | 0.443814i | ||||
\(932\) | −346.793 | + | 83.3833i | −0.372096 | + | 0.0894670i | ||||
\(933\) | −537.520 | + | 931.011i | −0.576120 | + | 0.997869i | ||||
\(934\) | 32.4052 | + | 13.9158i | 0.0346950 | + | 0.0148991i | ||||
\(935\) | 196.146 | − | 113.245i | 0.209782 | − | 0.121118i | ||||
\(936\) | −237.745 | + | 1387.87i | −0.254002 | + | 1.48276i | ||||
\(937\) | −472.094 | − | 817.691i | −0.503836 | − | 0.872669i | −0.999990 | − | 0.00443477i | \(-0.998588\pi\) |
0.496154 | − | 0.868234i | \(-0.334745\pi\) | |||||||
\(938\) | −24.1654 | + | 2.86435i | −0.0257627 | + | 0.00305368i | ||||
\(939\) | 1416.77i | 1.50880i | ||||||||
\(940\) | −554.263 | + | 526.336i | −0.589641 | + | 0.559932i | ||||
\(941\) | 490.567 | + | 849.688i | 0.521326 | + | 0.902963i | 0.999692 | + | 0.0248024i | \(0.00789565\pi\) |
−0.478367 | + | 0.878160i | \(0.658771\pi\) | |||||||
\(942\) | −251.379 | − | 2120.78i | −0.266857 | − | 2.25136i | ||||
\(943\) | 332.471i | 0.352568i | ||||||||
\(944\) | 642.892 | − | 991.451i | 0.681029 | − | 1.05027i | ||||
\(945\) | 1.29785 | − | 2.24794i | 0.00137338 | − | 0.00237877i | ||||
\(946\) | −983.095 | − | 1316.05i | −1.03921 | − | 1.39118i | ||||
\(947\) | −780.522 | − | 450.635i | −0.824205 | − | 0.475855i | 0.0276593 | − | 0.999617i | \(-0.491195\pi\) |
−0.851864 | + | 0.523762i | \(0.824528\pi\) | |||||||
\(948\) | −612.594 | + | 2070.68i | −0.646196 | + | 2.18427i | ||||
\(949\) | 1841.73 | 1.94071 | ||||||||
\(950\) | 634.873 | − | 447.743i | 0.668288 | − | 0.471308i | ||||
\(951\) | 1115.67i | 1.17316i | ||||||||
\(952\) | −110.167 | − | 18.8719i | −0.115721 | − | 0.0198234i | ||||
\(953\) | −596.943 | + | 1033.94i | −0.626383 | + | 1.08493i | 0.361889 | + | 0.932221i | \(0.382132\pi\) |
−0.988272 | + | 0.152706i | \(0.951201\pi\) | |||||||
\(954\) | −631.337 | − | 845.161i | −0.661779 | − | 0.885913i | ||||
\(955\) | −2.38604 | − | 1.37758i | −0.00249848 | − | 0.00144250i | ||||
\(956\) | −238.698 | + | 226.671i | −0.249684 | + | 0.237103i | ||||
\(957\) | 1.72796 | 0.00180560 | ||||||||
\(958\) | −44.7720 | − | 377.723i | −0.0467348 | − | 0.394282i | ||||
\(959\) | 210.908 | − | 121.768i | 0.219925 | − | 0.126974i | ||||
\(960\) | 192.054 | − | 544.119i | 0.200056 | − | 0.566790i | ||||
\(961\) | −822.485 | −0.855864 | ||||||||
\(962\) | −774.112 | + | 91.7565i | −0.804690 | + | 0.0953810i | ||||
\(963\) | 734.212 | − | 423.898i | 0.762422 | − | 0.440184i | ||||
\(964\) | −50.5976 | + | 171.029i | −0.0524871 | + | 0.177416i | ||||
\(965\) | 398.249 | + | 689.787i | 0.412693 | + | 0.714806i | ||||
\(966\) | 149.557 | + | 64.2244i | 0.154821 | + | 0.0664848i | ||||
\(967\) | −18.5798 | − | 10.7271i | −0.0192139 | − | 0.0110931i | 0.490362 | − | 0.871519i | \(-0.336864\pi\) |
−0.509576 | + | 0.860426i | \(0.670198\pi\) | |||||||
\(968\) | 531.923 | − | 196.547i | 0.549507 | − | 0.203044i | ||||
\(969\) | −321.831 | + | 523.815i | −0.332127 | + | 0.540572i | ||||
\(970\) | 549.424 | − | 65.1239i | 0.566416 | − | 0.0671381i | ||||
\(971\) | 1084.55 | + | 626.166i | 1.11694 | + | 0.644867i | 0.940619 | − | 0.339465i | \(-0.110246\pi\) |
0.176324 | + | 0.984332i | \(0.443580\pi\) | |||||||
\(972\) | 1311.95 | + | 388.128i | 1.34974 | + | 0.399308i | ||||
\(973\) | 202.716 | + | 351.114i | 0.208341 | + | 0.360857i | ||||
\(974\) | −775.247 | − | 332.915i | −0.795942 | − | 0.341802i | ||||
\(975\) | −1488.68 | + | 859.493i | −1.52686 | + | 0.881531i | ||||
\(976\) | 674.419 | − | 344.215i | 0.691003 | − | 0.352680i | ||||
\(977\) | 692.289 | 0.708586 | 0.354293 | − | 0.935134i | \(-0.384722\pi\) | ||||
0.354293 | + | 0.935134i | \(0.384722\pi\) | |||||||
\(978\) | −294.116 | − | 393.728i | −0.300732 | − | 0.402585i | ||||
\(979\) | 748.990 | − | 432.430i | 0.765056 | − | 0.441705i | ||||
\(980\) | 379.145 | − | 91.1620i | 0.386883 | − | 0.0930224i | ||||
\(981\) | −546.526 | −0.557111 | ||||||||
\(982\) | −1308.63 | + | 977.548i | −1.33262 | + | 0.995467i | ||||
\(983\) | 980.241 | + | 565.942i | 0.997193 | + | 0.575730i | 0.907417 | − | 0.420232i | \(-0.138051\pi\) |
0.0897765 | + | 0.995962i | \(0.471385\pi\) | |||||||
\(984\) | 679.660 | − | 818.057i | 0.690712 | − | 0.831358i | ||||
\(985\) | −204.661 | + | 354.483i | −0.207778 | + | 0.359881i | ||||
\(986\) | −0.178529 | + | 0.415733i | −0.000181063 | + | 0.000421635i | ||||
\(987\) | 689.714i | 0.698799i | ||||||||
\(988\) | 313.326 | + | 1480.04i | 0.317132 | + | 1.49802i | ||||
\(989\) | −626.349 | −0.633315 | ||||||||
\(990\) | 480.443 | + | 206.317i | 0.485296 | + | 0.208401i | ||||
\(991\) | 1188.45 | + | 686.153i | 1.19924 | + | 0.692384i | 0.960387 | − | 0.278671i | \(-0.0898938\pi\) |
0.238857 | + | 0.971055i | \(0.423227\pi\) | |||||||
\(992\) | 596.673 | − | 1212.55i | 0.601485 | − | 1.22233i | ||||
\(993\) | 1290.85 | − | 2235.82i | 1.29995 | − | 2.25158i | ||||
\(994\) | 60.8511 | + | 81.4604i | 0.0612184 | + | 0.0819522i | ||||
\(995\) | 703.403i | 0.706938i | ||||||||
\(996\) | 1460.58 | − | 351.184i | 1.46645 | − | 0.352594i | ||||
\(997\) | 658.351 | + | 1140.30i | 0.660332 | + | 1.14373i | 0.980528 | + | 0.196377i | \(0.0629176\pi\) |
−0.320197 | + | 0.947351i | \(0.603749\pi\) | |||||||
\(998\) | 826.754 | − | 617.587i | 0.828411 | − | 0.618825i | ||||
\(999\) | 13.0555i | 0.0130686i |
(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 | 76.3.g.c.11.10 | yes | 28 | |
4.3 | odd | 2 | inner | 76.3.g.c.11.12 | yes | 28 | |
19.7 | even | 3 | inner | 76.3.g.c.7.12 | yes | 28 | |
76.7 | odd | 6 | inner | 76.3.g.c.7.10 | ✓ | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.3.g.c.7.10 | ✓ | 28 | 76.7 | odd | 6 | inner | |
76.3.g.c.7.12 | yes | 28 | 19.7 | even | 3 | inner | |
76.3.g.c.11.10 | yes | 28 | 1.1 | even | 1 | trivial | |
76.3.g.c.11.12 | yes | 28 | 4.3 | odd | 2 | inner |