Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(17,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 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("210.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.w (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 47.2 | ||
Character | \(\chi\) | \(=\) | 210.47 |
Dual form | 210.3.w.b.143.2 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.366025 | − | 1.36603i | −0.183013 | − | 0.683013i | ||||
\(3\) | −2.86273 | + | 0.897104i | −0.954242 | + | 0.299035i | ||||
\(4\) | −1.73205 | + | 1.00000i | −0.433013 | + | 0.250000i | ||||
\(5\) | −4.37317 | − | 2.42391i | −0.874635 | − | 0.484783i | ||||
\(6\) | 2.27330 | + | 3.58219i | 0.378883 | + | 0.597032i | ||||
\(7\) | −6.90309 | − | 1.16075i | −0.986156 | − | 0.165821i | ||||
\(8\) | 2.00000 | + | 2.00000i | 0.250000 | + | 0.250000i | ||||
\(9\) | 7.39041 | − | 5.13633i | 0.821156 | − | 0.570703i | ||||
\(10\) | −1.71043 | + | 6.86108i | −0.171043 | + | 0.686108i | ||||
\(11\) | 7.83418 | − | 4.52306i | 0.712198 | − | 0.411188i | −0.0996765 | − | 0.995020i | \(-0.531781\pi\) |
0.811874 | + | 0.583832i | \(0.198447\pi\) | |||||||
\(12\) | 4.06128 | − | 4.41656i | 0.338440 | − | 0.368046i | ||||
\(13\) | 15.3607 | + | 15.3607i | 1.18159 | + | 1.18159i | 0.979332 | + | 0.202260i | \(0.0648286\pi\) |
0.202260 | + | 0.979332i | \(0.435171\pi\) | |||||||
\(14\) | 0.941098 | + | 9.85466i | 0.0672213 | + | 0.703904i | ||||
\(15\) | 14.6937 | + | 3.01581i | 0.979580 | + | 0.201054i | ||||
\(16\) | 2.00000 | − | 3.46410i | 0.125000 | − | 0.216506i | ||||
\(17\) | −6.74562 | + | 25.1750i | −0.396801 | + | 1.48088i | 0.421889 | + | 0.906648i | \(0.361367\pi\) |
−0.818690 | + | 0.574235i | \(0.805299\pi\) | |||||||
\(18\) | −9.72143 | − | 8.21546i | −0.540080 | − | 0.456414i | ||||
\(19\) | 0.500582 | − | 0.867034i | 0.0263464 | − | 0.0456333i | −0.852552 | − | 0.522643i | \(-0.824946\pi\) |
0.878898 | + | 0.477010i | \(0.158279\pi\) | |||||||
\(20\) | 9.99847 | − | 0.174832i | 0.499924 | − | 0.00874161i | ||||
\(21\) | 20.8030 | − | 2.86989i | 0.990618 | − | 0.136662i | ||||
\(22\) | −9.04613 | − | 9.04613i | −0.411188 | − | 0.411188i | ||||
\(23\) | 12.7861 | − | 3.42602i | 0.555916 | − | 0.148957i | 0.0300867 | − | 0.999547i | \(-0.490422\pi\) |
0.525829 | + | 0.850590i | \(0.323755\pi\) | |||||||
\(24\) | −7.51966 | − | 3.93125i | −0.313319 | − | 0.163802i | ||||
\(25\) | 13.2493 | + | 21.2004i | 0.529972 | + | 0.848015i | ||||
\(26\) | 15.3607 | − | 26.6055i | 0.590796 | − | 1.02329i | ||||
\(27\) | −16.5489 | + | 21.3339i | −0.612922 | + | 0.790143i | ||||
\(28\) | 13.1173 | − | 4.89262i | 0.468473 | − | 0.174736i | ||||
\(29\) | −8.69269 | −0.299748 | −0.149874 | − | 0.988705i | \(-0.547887\pi\) | ||||
−0.149874 | + | 0.988705i | \(0.547887\pi\) | |||||||
\(30\) | −1.25860 | − | 21.1758i | −0.0419532 | − | 0.705861i | ||||
\(31\) | 29.5586 | − | 17.0656i | 0.953502 | − | 0.550504i | 0.0593347 | − | 0.998238i | \(-0.481102\pi\) |
0.894167 | + | 0.447734i | \(0.147769\pi\) | |||||||
\(32\) | −5.46410 | − | 1.46410i | −0.170753 | − | 0.0457532i | ||||
\(33\) | −18.3694 | + | 19.9764i | −0.556650 | + | 0.605344i | ||||
\(34\) | 36.8588 | 1.08408 | ||||||||
\(35\) | 27.3749 | + | 21.8086i | 0.782139 | + | 0.623104i | ||||
\(36\) | −7.66423 | + | 16.2868i | −0.212895 | + | 0.452411i | ||||
\(37\) | −16.9613 | + | 4.54478i | −0.458414 | + | 0.122832i | −0.480634 | − | 0.876921i | \(-0.659593\pi\) |
0.0222195 | + | 0.999753i | \(0.492927\pi\) | |||||||
\(38\) | −1.36762 | − | 0.366452i | −0.0359899 | − | 0.00964346i | ||||
\(39\) | −57.7536 | − | 30.1933i | −1.48086 | − | 0.774188i | ||||
\(40\) | −3.89852 | − | 13.5942i | −0.0974630 | − | 0.339854i | ||||
\(41\) | −18.4160 | −0.449172 | −0.224586 | − | 0.974454i | \(-0.572103\pi\) | ||||
−0.224586 | + | 0.974454i | \(0.572103\pi\) | |||||||
\(42\) | −11.5348 | − | 27.3669i | −0.274637 | − | 0.651594i | ||||
\(43\) | 24.0320 | − | 24.0320i | 0.558885 | − | 0.558885i | −0.370105 | − | 0.928990i | \(-0.620678\pi\) |
0.928990 | + | 0.370105i | \(0.120678\pi\) | |||||||
\(44\) | −9.04613 | + | 15.6684i | −0.205594 | + | 0.356099i | ||||
\(45\) | −44.7695 | + | 4.54834i | −0.994879 | + | 0.101074i | ||||
\(46\) | −9.36005 | − | 16.2121i | −0.203479 | − | 0.352437i | ||||
\(47\) | 30.4178 | − | 8.15043i | 0.647188 | − | 0.173413i | 0.0797306 | − | 0.996816i | \(-0.474594\pi\) |
0.567457 | + | 0.823403i | \(0.307927\pi\) | |||||||
\(48\) | −2.61779 | + | 11.7110i | −0.0545374 | + | 0.243979i | ||||
\(49\) | 46.3053 | + | 16.0255i | 0.945007 | + | 0.327051i | ||||
\(50\) | 24.1107 | − | 25.8587i | 0.482214 | − | 0.517175i | ||||
\(51\) | −3.27373 | − | 78.1207i | −0.0641908 | − | 1.53178i | ||||
\(52\) | −41.9662 | − | 11.2448i | −0.807042 | − | 0.216246i | ||||
\(53\) | −12.8616 | + | 48.0000i | −0.242671 | + | 0.905660i | 0.731869 | + | 0.681445i | \(0.238648\pi\) |
−0.974540 | + | 0.224214i | \(0.928018\pi\) | |||||||
\(54\) | 35.1999 | + | 14.7975i | 0.651850 | + | 0.274027i | ||||
\(55\) | −45.2237 | + | 0.790777i | −0.822249 | + | 0.0143778i | ||||
\(56\) | −11.4847 | − | 16.1277i | −0.205084 | − | 0.287994i | ||||
\(57\) | −0.655210 | + | 2.93115i | −0.0114949 | + | 0.0514238i | ||||
\(58\) | 3.18175 | + | 11.8744i | 0.0548577 | + | 0.204732i | ||||
\(59\) | −78.7190 | + | 45.4484i | −1.33422 | + | 0.770312i | −0.985943 | − | 0.167079i | \(-0.946566\pi\) |
−0.348277 | + | 0.937392i | \(0.613233\pi\) | |||||||
\(60\) | −28.4660 | + | 9.47017i | −0.474434 | + | 0.157836i | ||||
\(61\) | 56.9490 | + | 32.8795i | 0.933589 | + | 0.539008i | 0.887945 | − | 0.459950i | \(-0.152133\pi\) |
0.0456445 | + | 0.998958i | \(0.485466\pi\) | |||||||
\(62\) | −34.1313 | − | 34.1313i | −0.550504 | − | 0.550504i | ||||
\(63\) | −56.9786 | + | 26.8782i | −0.904423 | + | 0.426637i | ||||
\(64\) | 8.00000i | 0.125000i | ||||||||
\(65\) | −29.9420 | − | 104.408i | −0.460646 | − | 1.60628i | ||||
\(66\) | 34.0119 | + | 17.7813i | 0.515332 | + | 0.269413i | ||||
\(67\) | 3.51690 | − | 13.1252i | 0.0524910 | − | 0.195899i | −0.934701 | − | 0.355434i | \(-0.884333\pi\) |
0.987192 | + | 0.159535i | \(0.0509996\pi\) | |||||||
\(68\) | −13.4912 | − | 50.3500i | −0.198401 | − | 0.740441i | ||||
\(69\) | −33.5295 | + | 21.2782i | −0.485935 | + | 0.308380i | ||||
\(70\) | 19.7713 | − | 45.3773i | 0.282447 | − | 0.648247i | ||||
\(71\) | 86.5925i | 1.21961i | 0.792551 | + | 0.609806i | \(0.208753\pi\) | ||||
−0.792551 | + | 0.609806i | \(0.791247\pi\) | |||||||
\(72\) | 25.0535 | + | 4.50816i | 0.347965 | + | 0.0626133i | ||||
\(73\) | −26.9306 | + | 100.506i | −0.368913 | + | 1.37680i | 0.493126 | + | 0.869958i | \(0.335854\pi\) |
−0.862039 | + | 0.506843i | \(0.830813\pi\) | |||||||
\(74\) | 12.4166 | + | 21.5061i | 0.167791 | + | 0.290623i | ||||
\(75\) | −56.9480 | − | 48.8049i | −0.759307 | − | 0.650732i | ||||
\(76\) | 2.00233i | 0.0263464i | ||||||||
\(77\) | −59.3302 | + | 22.1296i | −0.770521 | + | 0.287398i | ||||
\(78\) | −20.1056 | + | 89.9444i | −0.257764 | + | 1.15313i | ||||
\(79\) | 69.3172 | + | 40.0203i | 0.877433 | + | 0.506586i | 0.869811 | − | 0.493385i | \(-0.164240\pi\) |
0.00762204 | + | 0.999971i | \(0.497574\pi\) | |||||||
\(80\) | −17.1430 | + | 10.3013i | −0.214288 | + | 0.128766i | ||||
\(81\) | 28.2363 | − | 75.9191i | 0.348596 | − | 0.937273i | ||||
\(82\) | 6.74074 | + | 25.1568i | 0.0822041 | + | 0.306790i | ||||
\(83\) | −11.6859 | + | 11.6859i | −0.140794 | + | 0.140794i | −0.773991 | − | 0.633197i | \(-0.781742\pi\) |
0.633197 | + | 0.773991i | \(0.281742\pi\) | |||||||
\(84\) | −33.1619 | + | 25.7738i | −0.394785 | + | 0.306831i | ||||
\(85\) | 90.5218 | − | 93.7439i | 1.06496 | − | 1.10287i | ||||
\(86\) | −41.6247 | − | 24.0320i | −0.484008 | − | 0.279442i | ||||
\(87\) | 24.8848 | − | 7.79825i | 0.286032 | − | 0.0896351i | ||||
\(88\) | 24.7145 | + | 6.62222i | 0.280846 | + | 0.0752525i | ||||
\(89\) | 62.2002 | + | 35.9113i | 0.698879 | + | 0.403498i | 0.806930 | − | 0.590648i | \(-0.201128\pi\) |
−0.108051 | + | 0.994145i | \(0.534461\pi\) | |||||||
\(90\) | 22.5999 | + | 59.4915i | 0.251110 | + | 0.661017i | ||||
\(91\) | −88.2064 | − | 123.866i | −0.969301 | − | 1.36117i | ||||
\(92\) | −18.7201 | + | 18.7201i | −0.203479 | + | 0.203479i | ||||
\(93\) | −69.3084 | + | 75.3714i | −0.745252 | + | 0.810445i | ||||
\(94\) | −22.2674 | − | 38.5682i | −0.236887 | − | 0.410301i | ||||
\(95\) | −4.29075 | + | 2.57832i | −0.0451658 | + | 0.0271402i | ||||
\(96\) | 16.9557 | − | 0.710545i | 0.176622 | − | 0.00740151i | ||||
\(97\) | −5.41316 | + | 5.41316i | −0.0558058 | + | 0.0558058i | −0.734459 | − | 0.678653i | \(-0.762564\pi\) |
0.678653 | + | 0.734459i | \(0.262564\pi\) | |||||||
\(98\) | 4.94228 | − | 69.1200i | 0.0504314 | − | 0.705306i | ||||
\(99\) | 34.6658 | − | 73.6662i | 0.350160 | − | 0.744103i | ||||
\(100\) | −44.1488 | − | 23.4709i | −0.441488 | − | 0.234709i | ||||
\(101\) | 77.7709 | + | 134.703i | 0.770009 | + | 1.33370i | 0.937557 | + | 0.347831i | \(0.113082\pi\) |
−0.167548 | + | 0.985864i | \(0.553585\pi\) | |||||||
\(102\) | −105.517 | + | 33.0662i | −1.03448 | + | 0.324178i | ||||
\(103\) | −57.8186 | + | 15.4924i | −0.561345 | + | 0.150412i | −0.528324 | − | 0.849043i | \(-0.677179\pi\) |
−0.0330210 | + | 0.999455i | \(0.510513\pi\) | |||||||
\(104\) | 61.4428i | 0.590796i | ||||||||
\(105\) | −97.9314 | − | 37.8741i | −0.932680 | − | 0.360705i | ||||
\(106\) | 70.2768 | 0.662989 | ||||||||
\(107\) | −25.1572 | − | 93.8880i | −0.235114 | − | 0.877458i | −0.978097 | − | 0.208148i | \(-0.933256\pi\) |
0.742983 | − | 0.669310i | \(-0.233410\pi\) | |||||||
\(108\) | 7.32966 | − | 53.5002i | 0.0678673 | − | 0.495373i | ||||
\(109\) | 180.188 | − | 104.032i | 1.65310 | − | 0.954419i | 0.677315 | − | 0.735693i | \(-0.263143\pi\) |
0.975786 | − | 0.218726i | \(-0.0701900\pi\) | |||||||
\(110\) | 17.6333 | + | 61.4873i | 0.160302 | + | 0.558975i | ||||
\(111\) | 44.4785 | − | 28.2265i | 0.400707 | − | 0.254293i | ||||
\(112\) | −17.8271 | + | 21.5915i | −0.159171 | + | 0.192781i | ||||
\(113\) | −36.4626 | − | 36.4626i | −0.322678 | − | 0.322678i | 0.527115 | − | 0.849794i | \(-0.323274\pi\) |
−0.849794 | + | 0.527115i | \(0.823274\pi\) | |||||||
\(114\) | 4.24386 | − | 0.177843i | 0.0372268 | − | 0.00156003i | ||||
\(115\) | −64.2201 | − | 16.0098i | −0.558435 | − | 0.139215i | ||||
\(116\) | 15.0562 | − | 8.69269i | 0.129795 | − | 0.0749370i | ||||
\(117\) | 192.419 | + | 34.6242i | 1.64461 | + | 0.295934i | ||||
\(118\) | 90.8969 | + | 90.8969i | 0.770312 | + | 0.770312i | ||||
\(119\) | 75.7874 | − | 165.955i | 0.636869 | − | 1.39458i | ||||
\(120\) | 23.3558 | + | 35.4190i | 0.194632 | + | 0.295159i | ||||
\(121\) | −19.5838 | + | 33.9201i | −0.161850 | + | 0.280332i | ||||
\(122\) | 24.0695 | − | 89.8285i | 0.197291 | − | 0.736299i | ||||
\(123\) | 52.7201 | − | 16.5211i | 0.428618 | − | 0.134318i | ||||
\(124\) | −34.1313 | + | 59.1171i | −0.275252 | + | 0.476751i | ||||
\(125\) | −6.55354 | − | 124.828i | −0.0524283 | − | 0.998625i | ||||
\(126\) | 57.5719 | + | 67.9962i | 0.456920 | + | 0.539652i | ||||
\(127\) | −18.3314 | − | 18.3314i | −0.144342 | − | 0.144342i | 0.631243 | − | 0.775585i | \(-0.282545\pi\) |
−0.775585 | + | 0.631243i | \(0.782545\pi\) | |||||||
\(128\) | 10.9282 | − | 2.92820i | 0.0853766 | − | 0.0228766i | ||||
\(129\) | −47.2379 | + | 90.3564i | −0.366185 | + | 0.700437i | ||||
\(130\) | −131.664 | + | 79.1175i | −1.01280 | + | 0.608596i | ||||
\(131\) | 82.2663 | − | 142.489i | 0.627987 | − | 1.08771i | −0.359968 | − | 0.932965i | \(-0.617212\pi\) |
0.987955 | − | 0.154741i | \(-0.0494544\pi\) | |||||||
\(132\) | 11.8404 | − | 52.9695i | 0.0897003 | − | 0.401284i | ||||
\(133\) | −4.46197 | + | 5.40416i | −0.0335486 | + | 0.0406328i | ||||
\(134\) | −19.2167 | −0.143408 | ||||||||
\(135\) | 124.083 | − | 53.1836i | 0.919131 | − | 0.393953i | ||||
\(136\) | −63.8413 | + | 36.8588i | −0.469421 | + | 0.271020i | ||||
\(137\) | 225.051 | + | 60.3021i | 1.64271 | + | 0.440162i | 0.957557 | − | 0.288243i | \(-0.0930710\pi\) |
0.685148 | + | 0.728404i | \(0.259738\pi\) | |||||||
\(138\) | 41.3392 | + | 38.0138i | 0.299559 | + | 0.275463i | ||||
\(139\) | −254.372 | −1.83002 | −0.915008 | − | 0.403436i | \(-0.867816\pi\) | ||||
−0.915008 | + | 0.403436i | \(0.867816\pi\) | |||||||
\(140\) | −69.2233 | − | 10.3988i | −0.494452 | − | 0.0742772i | ||||
\(141\) | −79.7661 | + | 50.6204i | −0.565717 | + | 0.359010i | ||||
\(142\) | 118.288 | − | 31.6950i | 0.833011 | − | 0.223205i | ||||
\(143\) | 189.816 | + | 50.8610i | 1.32738 | + | 0.355671i | ||||
\(144\) | −3.01194 | − | 35.8738i | −0.0209163 | − | 0.249123i | ||||
\(145\) | 38.0147 | + | 21.0703i | 0.262170 | + | 0.145313i | ||||
\(146\) | 147.152 | 1.00789 | ||||||||
\(147\) | −146.936 | − | 4.33585i | −0.999565 | − | 0.0294956i | ||||
\(148\) | 24.8331 | − | 24.8331i | 0.167791 | − | 0.167791i | ||||
\(149\) | −56.7486 | + | 98.2914i | −0.380863 | + | 0.659674i | −0.991186 | − | 0.132479i | \(-0.957706\pi\) |
0.610323 | + | 0.792153i | \(0.291040\pi\) | |||||||
\(150\) | −45.8243 | + | 95.6563i | −0.305496 | + | 0.637709i | ||||
\(151\) | 52.1826 | + | 90.3830i | 0.345580 | + | 0.598563i | 0.985459 | − | 0.169913i | \(-0.0543488\pi\) |
−0.639879 | + | 0.768476i | \(0.721015\pi\) | |||||||
\(152\) | 2.73523 | − | 0.732903i | 0.0179949 | − | 0.00482173i | ||||
\(153\) | 79.4542 | + | 220.701i | 0.519308 | + | 1.44249i | ||||
\(154\) | 51.9460 | + | 72.9465i | 0.337312 | + | 0.473679i | ||||
\(155\) | −170.630 | + | 2.98362i | −1.10084 | + | 0.0192492i | ||||
\(156\) | 130.226 | − | 5.45723i | 0.834779 | − | 0.0349823i | ||||
\(157\) | −194.155 | − | 52.0236i | −1.23666 | − | 0.331361i | −0.419488 | − | 0.907761i | \(-0.637790\pi\) |
−0.817168 | + | 0.576400i | \(0.804457\pi\) | |||||||
\(158\) | 29.2969 | − | 109.338i | 0.185423 | − | 0.692010i | ||||
\(159\) | −6.24186 | − | 148.949i | −0.0392570 | − | 0.936786i | ||||
\(160\) | 20.3466 | + | 19.6473i | 0.127166 | + | 0.122795i | ||||
\(161\) | −92.2402 | + | 8.80873i | −0.572920 | + | 0.0547126i | ||||
\(162\) | −114.043 | − | 10.7831i | −0.703967 | − | 0.0665626i | ||||
\(163\) | −29.0052 | − | 108.249i | −0.177946 | − | 0.664103i | −0.996031 | − | 0.0890058i | \(-0.971631\pi\) |
0.818085 | − | 0.575097i | \(-0.195036\pi\) | |||||||
\(164\) | 31.8975 | − | 18.4160i | 0.194497 | − | 0.112293i | ||||
\(165\) | 128.754 | − | 42.8342i | 0.780326 | − | 0.259601i | ||||
\(166\) | 20.2405 | + | 11.6859i | 0.121931 | + | 0.0703968i | ||||
\(167\) | 226.123 | + | 226.123i | 1.35403 | + | 1.35403i | 0.881103 | + | 0.472925i | \(0.156802\pi\) |
0.472925 | + | 0.881103i | \(0.343198\pi\) | |||||||
\(168\) | 47.3457 | + | 35.8662i | 0.281820 | + | 0.213489i | ||||
\(169\) | 302.902i | 1.79232i | ||||||||
\(170\) | −161.190 | − | 89.3425i | −0.948175 | − | 0.525544i | ||||
\(171\) | −0.753863 | − | 8.97889i | −0.00440855 | − | 0.0525081i | ||||
\(172\) | −17.5927 | + | 65.6568i | −0.102283 | + | 0.381725i | ||||
\(173\) | −28.7313 | − | 107.227i | −0.166077 | − | 0.619808i | −0.997900 | − | 0.0647675i | \(-0.979369\pi\) |
0.831823 | − | 0.555040i | \(-0.187297\pi\) | |||||||
\(174\) | −19.7611 | − | 31.1389i | −0.113569 | − | 0.178959i | ||||
\(175\) | −66.8528 | − | 161.727i | −0.382016 | − | 0.924156i | ||||
\(176\) | − | 36.1845i | − | 0.205594i | ||||||
\(177\) | 184.579 | − | 200.726i | 1.04282 | − | 1.13404i | ||||
\(178\) | 26.2889 | − | 98.1115i | 0.147690 | − | 0.551188i | ||||
\(179\) | 97.3690 | + | 168.648i | 0.543961 | + | 0.942168i | 0.998672 | + | 0.0515286i | \(0.0164093\pi\) |
−0.454711 | + | 0.890639i | \(0.650257\pi\) | |||||||
\(180\) | 72.9948 | − | 52.6475i | 0.405527 | − | 0.292486i | ||||
\(181\) | − | 252.910i | − | 1.39729i | −0.715468 | − | 0.698645i | \(-0.753787\pi\) | ||
0.715468 | − | 0.698645i | \(-0.246213\pi\) | |||||||
\(182\) | −136.919 | + | 165.830i | −0.752299 | + | 0.911156i | ||||
\(183\) | −192.526 | − | 43.0359i | −1.05205 | − | 0.235169i | ||||
\(184\) | 32.4242 | + | 18.7201i | 0.176218 | + | 0.101740i | ||||
\(185\) | 85.1910 | + | 21.2377i | 0.460492 | + | 0.114798i | ||||
\(186\) | 128.328 | + | 67.0892i | 0.689935 | + | 0.360695i | ||||
\(187\) | 61.0218 | + | 227.736i | 0.326320 | + | 1.21784i | ||||
\(188\) | −44.5348 | + | 44.5348i | −0.236887 | + | 0.236887i | ||||
\(189\) | 139.002 | − | 128.061i | 0.735459 | − | 0.677569i | ||||
\(190\) | 5.09257 | + | 4.91754i | 0.0268030 | + | 0.0258818i | ||||
\(191\) | 34.4963 | + | 19.9164i | 0.180609 | + | 0.104274i | 0.587579 | − | 0.809167i | \(-0.300081\pi\) |
−0.406970 | + | 0.913442i | \(0.633415\pi\) | |||||||
\(192\) | −7.17683 | − | 22.9018i | −0.0373793 | − | 0.119280i | ||||
\(193\) | −1.56040 | − | 0.418109i | −0.00808500 | − | 0.00216637i | 0.254774 | − | 0.967001i | \(-0.417999\pi\) |
−0.262859 | + | 0.964834i | \(0.584665\pi\) | |||||||
\(194\) | 9.37587 | + | 5.41316i | 0.0483292 | + | 0.0279029i | ||||
\(195\) | 179.381 | + | 272.030i | 0.919900 | + | 1.39503i | ||||
\(196\) | −96.2287 | + | 18.5484i | −0.490963 | + | 0.0946347i | ||||
\(197\) | −61.6336 | + | 61.6336i | −0.312861 | + | 0.312861i | −0.846017 | − | 0.533156i | \(-0.821006\pi\) |
0.533156 | + | 0.846017i | \(0.321006\pi\) | |||||||
\(198\) | −113.318 | − | 20.3907i | −0.572315 | − | 0.102983i | ||||
\(199\) | 95.7953 | + | 165.922i | 0.481383 | + | 0.833781i | 0.999772 | − | 0.0213648i | \(-0.00680114\pi\) |
−0.518388 | + | 0.855145i | \(0.673468\pi\) | |||||||
\(200\) | −15.9022 | + | 68.8993i | −0.0795110 | + | 0.344497i | ||||
\(201\) | 1.70679 | + | 40.7290i | 0.00849150 | + | 0.202632i | ||||
\(202\) | 155.542 | − | 155.542i | 0.770009 | − | 0.770009i | ||||
\(203\) | 60.0065 | + | 10.0900i | 0.295598 | + | 0.0497045i | ||||
\(204\) | 83.7910 | + | 132.035i | 0.410740 | + | 0.647232i | ||||
\(205\) | 80.5365 | + | 44.6389i | 0.392861 | + | 0.217751i | ||||
\(206\) | 42.3261 | + | 73.3110i | 0.205467 | + | 0.355879i | ||||
\(207\) | 76.8971 | − | 90.9931i | 0.371484 | − | 0.439580i | ||||
\(208\) | 83.9324 | − | 22.4896i | 0.403521 | − | 0.108123i | ||||
\(209\) | − | 9.05666i | − | 0.0433333i | ||||||
\(210\) | −15.8916 | + | 147.640i | −0.0756741 | + | 0.703046i | ||||
\(211\) | −339.969 | −1.61123 | −0.805614 | − | 0.592441i | \(-0.798164\pi\) | ||||
−0.805614 | + | 0.592441i | \(0.798164\pi\) | |||||||
\(212\) | −25.7231 | − | 95.9999i | −0.121335 | − | 0.452830i | ||||
\(213\) | −77.6825 | − | 247.891i | −0.364706 | − | 1.16381i | ||||
\(214\) | −119.045 | + | 68.7308i | −0.556286 | + | 0.321172i | ||||
\(215\) | −163.348 | + | 46.8447i | −0.759758 | + | 0.217882i | ||||
\(216\) | −75.7655 | + | 9.56994i | −0.350766 | + | 0.0443053i | ||||
\(217\) | −223.854 | + | 83.4957i | −1.03159 | + | 0.384773i | ||||
\(218\) | −208.063 | − | 208.063i | −0.954419 | − | 0.954419i | ||||
\(219\) | −13.0697 | − | 311.882i | −0.0596792 | − | 1.42412i | ||||
\(220\) | 77.5390 | − | 46.5934i | 0.352450 | − | 0.211788i | ||||
\(221\) | −490.323 | + | 283.088i | −2.21866 | + | 1.28094i | ||||
\(222\) | −54.8384 | − | 50.4272i | −0.247020 | − | 0.227149i | ||||
\(223\) | −214.803 | − | 214.803i | −0.963244 | − | 0.963244i | 0.0361038 | − | 0.999348i | \(-0.488505\pi\) |
−0.999348 | + | 0.0361038i | \(0.988505\pi\) | |||||||
\(224\) | 36.0197 | + | 16.4493i | 0.160802 | + | 0.0734342i | ||||
\(225\) | 206.810 | + | 88.6268i | 0.919155 | + | 0.393897i | ||||
\(226\) | −36.4626 | + | 63.1551i | −0.161339 | + | 0.279448i | ||||
\(227\) | 31.0382 | − | 115.836i | 0.136732 | − | 0.510292i | −0.863252 | − | 0.504772i | \(-0.831576\pi\) |
0.999985 | − | 0.00551960i | \(-0.00175695\pi\) | |||||||
\(228\) | −1.79630 | − | 5.73212i | −0.00787850 | − | 0.0251409i | ||||
\(229\) | −3.87396 | + | 6.70989i | −0.0169168 | + | 0.0293008i | −0.874360 | − | 0.485278i | \(-0.838718\pi\) |
0.857443 | + | 0.514579i | \(0.172052\pi\) | |||||||
\(230\) | 1.63644 | + | 93.5862i | 0.00711495 | + | 0.406897i | ||||
\(231\) | 149.993 | − | 116.576i | 0.649322 | − | 0.504660i | ||||
\(232\) | −17.3854 | − | 17.3854i | −0.0749370 | − | 0.0749370i | ||||
\(233\) | −92.5053 | + | 24.7867i | −0.397018 | + | 0.106381i | −0.451804 | − | 0.892117i | \(-0.649219\pi\) |
0.0547853 | + | 0.998498i | \(0.482553\pi\) | |||||||
\(234\) | −23.1328 | − | 275.523i | −0.0988580 | − | 1.17745i | ||||
\(235\) | −152.778 | − | 38.0869i | −0.650121 | − | 0.162072i | ||||
\(236\) | 90.8969 | − | 157.438i | 0.385156 | − | 0.667110i | ||||
\(237\) | −234.339 | − | 52.3825i | −0.988771 | − | 0.221023i | ||||
\(238\) | −254.439 | − | 42.7837i | −1.06907 | − | 0.179763i | ||||
\(239\) | 22.0230 | 0.0921463 | 0.0460732 | − | 0.998938i | \(-0.485329\pi\) | ||||
0.0460732 | + | 0.998938i | \(0.485329\pi\) | |||||||
\(240\) | 39.8345 | − | 44.8689i | 0.165977 | − | 0.186954i | ||||
\(241\) | 245.178 | − | 141.553i | 1.01733 | − | 0.587358i | 0.104004 | − | 0.994577i | \(-0.466835\pi\) |
0.913331 | + | 0.407218i | \(0.133501\pi\) | |||||||
\(242\) | 53.5039 | + | 14.3363i | 0.221091 | + | 0.0592411i | ||||
\(243\) | −12.7254 | + | 242.667i | −0.0523678 | + | 0.998628i | ||||
\(244\) | −131.518 | −0.539008 | ||||||||
\(245\) | −163.657 | − | 182.322i | −0.667987 | − | 0.744173i | ||||
\(246\) | −41.8651 | − | 65.9698i | −0.170183 | − | 0.268170i | ||||
\(247\) | 21.0075 | − | 5.62895i | 0.0850507 | − | 0.0227893i | ||||
\(248\) | 93.2484 | + | 24.9858i | 0.376002 | + | 0.100749i | ||||
\(249\) | 22.9700 | − | 43.9369i | 0.0922491 | − | 0.176453i | ||||
\(250\) | −168.120 | + | 54.6426i | −0.672478 | + | 0.218570i | ||||
\(251\) | −457.677 | −1.82341 | −0.911707 | − | 0.410841i | \(-0.865235\pi\) | ||||
−0.911707 | + | 0.410841i | \(0.865235\pi\) | |||||||
\(252\) | 71.8117 | − | 103.533i | 0.284967 | − | 0.410845i | ||||
\(253\) | 84.6722 | − | 84.6722i | 0.334673 | − | 0.334673i | ||||
\(254\) | −18.3314 | + | 31.7510i | −0.0721710 | + | 0.125004i | ||||
\(255\) | −175.041 | + | 349.571i | −0.686436 | + | 1.37086i | ||||
\(256\) | −8.00000 | − | 13.8564i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 16.6627 | − | 4.46476i | 0.0648355 | − | 0.0173726i | −0.226256 | − | 0.974068i | \(-0.572648\pi\) |
0.291091 | + | 0.956695i | \(0.405982\pi\) | |||||||
\(258\) | 140.719 | + | 31.4555i | 0.545424 | + | 0.121920i | ||||
\(259\) | 122.361 | − | 11.6852i | 0.472436 | − | 0.0451166i | ||||
\(260\) | 156.269 | + | 150.898i | 0.601035 | + | 0.580377i | ||||
\(261\) | −64.2426 | + | 44.6485i | −0.246140 | + | 0.171067i | ||||
\(262\) | −224.756 | − | 60.2231i | −0.857847 | − | 0.229859i | ||||
\(263\) | 20.8662 | − | 77.8737i | 0.0793392 | − | 0.296098i | −0.914843 | − | 0.403810i | \(-0.867686\pi\) |
0.994182 | + | 0.107712i | \(0.0343524\pi\) | |||||||
\(264\) | −76.6916 | + | 3.21384i | −0.290499 | + | 0.0121736i | ||||
\(265\) | 172.594 | − | 178.737i | 0.651296 | − | 0.674479i | ||||
\(266\) | 9.01542 | + | 4.11710i | 0.0338926 | + | 0.0154778i | ||||
\(267\) | −210.278 | − | 47.0042i | −0.787560 | − | 0.176046i | ||||
\(268\) | 7.03380 | + | 26.2505i | 0.0262455 | + | 0.0979496i | ||||
\(269\) | −324.065 | + | 187.099i | −1.20470 | + | 0.695534i | −0.961597 | − | 0.274466i | \(-0.911499\pi\) |
−0.243104 | + | 0.970000i | \(0.578166\pi\) | |||||||
\(270\) | −118.068 | − | 150.033i | −0.437287 | − | 0.555680i | ||||
\(271\) | 360.726 | + | 208.265i | 1.33109 | + | 0.768506i | 0.985467 | − | 0.169867i | \(-0.0543339\pi\) |
0.345624 | + | 0.938373i | \(0.387667\pi\) | |||||||
\(272\) | 73.7175 | + | 73.7175i | 0.271020 | + | 0.271020i | ||||
\(273\) | 363.632 | + | 275.465i | 1.33198 | + | 1.00903i | ||||
\(274\) | − | 329.497i | − | 1.20254i | ||||||
\(275\) | 199.688 | + | 106.160i | 0.726138 | + | 0.386037i | ||||
\(276\) | 36.7967 | − | 70.3844i | 0.133321 | − | 0.255016i | ||||
\(277\) | 36.9022 | − | 137.721i | 0.133221 | − | 0.497187i | −0.866778 | − | 0.498694i | \(-0.833813\pi\) |
0.999999 | + | 0.00150717i | \(0.000479747\pi\) | |||||||
\(278\) | 93.1067 | + | 347.479i | 0.334916 | + | 1.24992i | ||||
\(279\) | 130.795 | − | 277.944i | 0.468799 | − | 0.996217i | ||||
\(280\) | 11.1325 | + | 98.3670i | 0.0397588 | + | 0.351311i | ||||
\(281\) | − | 62.0801i | − | 0.220926i | −0.993880 | − | 0.110463i | \(-0.964767\pi\) | ||
0.993880 | − | 0.110463i | \(-0.0352333\pi\) | |||||||
\(282\) | 98.3452 | + | 90.4342i | 0.348742 | + | 0.320689i | ||||
\(283\) | 10.6104 | − | 39.5986i | 0.0374926 | − | 0.139924i | −0.944642 | − | 0.328101i | \(-0.893591\pi\) |
0.982135 | + | 0.188177i | \(0.0602579\pi\) | |||||||
\(284\) | −86.5925 | − | 149.983i | −0.304903 | − | 0.528108i | ||||
\(285\) | 9.97021 | − | 11.2303i | 0.0349832 | − | 0.0394045i | ||||
\(286\) | − | 277.910i | − | 0.971712i | ||||||
\(287\) | 127.128 | + | 21.3763i | 0.442953 | + | 0.0744820i | ||||
\(288\) | −47.9020 | + | 17.2451i | −0.166327 | + | 0.0598788i | ||||
\(289\) | −337.996 | − | 195.142i | −1.16954 | − | 0.675233i | ||||
\(290\) | 14.8683 | − | 59.6413i | 0.0512700 | − | 0.205660i | ||||
\(291\) | 10.6402 | − | 20.3526i | 0.0365644 | − | 0.0699401i | ||||
\(292\) | −53.8612 | − | 201.013i | −0.184456 | − | 0.688400i | ||||
\(293\) | 368.013 | − | 368.013i | 1.25602 | − | 1.25602i | 0.303038 | − | 0.952978i | \(-0.401999\pi\) |
0.952978 | − | 0.303038i | \(-0.0980009\pi\) | |||||||
\(294\) | 47.8594 | + | 202.305i | 0.162787 | + | 0.688114i | ||||
\(295\) | 454.415 | − | 7.94585i | 1.54039 | − | 0.0269351i | ||||
\(296\) | −43.0122 | − | 24.8331i | −0.145312 | − | 0.0838957i | ||||
\(297\) | −33.1525 | + | 241.985i | −0.111625 | + | 0.814764i | ||||
\(298\) | 155.040 | + | 41.5428i | 0.520268 | + | 0.139406i | ||||
\(299\) | 249.029 | + | 143.777i | 0.832873 | + | 0.480859i | ||||
\(300\) | 147.442 | + | 27.5846i | 0.491473 | + | 0.0919485i | ||||
\(301\) | −193.790 | + | 138.000i | −0.643822 | + | 0.458473i | ||||
\(302\) | 104.365 | − | 104.365i | 0.345580 | − | 0.345580i | ||||
\(303\) | −343.480 | − | 315.850i | −1.13360 | − | 1.04241i | ||||
\(304\) | −2.00233 | − | 3.46813i | −0.00658661 | − | 0.0114083i | ||||
\(305\) | −169.351 | − | 281.827i | −0.555248 | − | 0.924023i | ||||
\(306\) | 272.401 | − | 189.319i | 0.890201 | − | 0.618689i | ||||
\(307\) | 50.8387 | − | 50.8387i | 0.165598 | − | 0.165598i | −0.619443 | − | 0.785042i | \(-0.712642\pi\) |
0.785042 | + | 0.619443i | \(0.212642\pi\) | |||||||
\(308\) | 80.6332 | − | 97.6598i | 0.261796 | − | 0.317077i | ||||
\(309\) | 151.620 | − | 96.2199i | 0.490681 | − | 0.311391i | ||||
\(310\) | 66.5307 | + | 231.993i | 0.214615 | + | 0.748365i | ||||
\(311\) | −49.3893 | − | 85.5448i | −0.158808 | − | 0.275064i | 0.775631 | − | 0.631187i | \(-0.217432\pi\) |
−0.934439 | + | 0.356123i | \(0.884098\pi\) | |||||||
\(312\) | −55.1206 | − | 175.894i | −0.176668 | − | 0.563762i | ||||
\(313\) | −367.777 | + | 98.5456i | −1.17501 | + | 0.314842i | −0.792944 | − | 0.609294i | \(-0.791453\pi\) |
−0.382063 | + | 0.924136i | \(0.624786\pi\) | |||||||
\(314\) | 284.262i | 0.905295i | ||||||||
\(315\) | 314.328 | + | 20.5685i | 0.997866 | + | 0.0652967i | ||||
\(316\) | −160.081 | −0.506586 | ||||||||
\(317\) | 52.4421 | + | 195.717i | 0.165432 | + | 0.617402i | 0.997985 | + | 0.0634558i | \(0.0202122\pi\) |
−0.832552 | + | 0.553947i | \(0.813121\pi\) | |||||||
\(318\) | −201.183 | + | 63.0456i | −0.632652 | + | 0.198257i | ||||
\(319\) | −68.1001 | + | 39.3176i | −0.213480 | + | 0.123253i | ||||
\(320\) | 19.3913 | − | 34.9854i | 0.0605978 | − | 0.109329i | ||||
\(321\) | 156.246 | + | 246.207i | 0.486746 | + | 0.767000i | ||||
\(322\) | 45.7952 | + | 122.778i | 0.142221 | + | 0.381299i | ||||
\(323\) | 18.4508 | + | 18.4508i | 0.0571233 | + | 0.0571233i | ||||
\(324\) | 27.0125 | + | 159.732i | 0.0833718 | + | 0.493000i | ||||
\(325\) | −122.134 | + | 529.171i | −0.375798 | + | 1.62822i | ||||
\(326\) | −137.254 | + | 79.2436i | −0.421024 | + | 0.243078i | ||||
\(327\) | −422.502 | + | 459.462i | −1.29206 | + | 1.40508i | ||||
\(328\) | −36.8321 | − | 36.8321i | −0.112293 | − | 0.112293i | ||||
\(329\) | −219.438 | + | 20.9558i | −0.666983 | + | 0.0636954i | ||||
\(330\) | −105.640 | − | 160.202i | −0.320120 | − | 0.485462i | ||||
\(331\) | −260.425 | + | 451.069i | −0.786782 | + | 1.36275i | 0.141147 | + | 0.989989i | \(0.454921\pi\) |
−0.927929 | + | 0.372758i | \(0.878412\pi\) | |||||||
\(332\) | 8.55465 | − | 31.9264i | 0.0257670 | − | 0.0961639i | ||||
\(333\) | −102.008 | + | 120.707i | −0.306330 | + | 0.362483i | ||||
\(334\) | 226.123 | − | 391.656i | 0.677014 | − | 1.17262i | ||||
\(335\) | −47.1945 | + | 48.8743i | −0.140879 | + | 0.145893i | ||||
\(336\) | 31.6643 | − | 77.8034i | 0.0942391 | − | 0.231558i | ||||
\(337\) | 319.919 | + | 319.919i | 0.949314 | + | 0.949314i | 0.998776 | − | 0.0494620i | \(-0.0157507\pi\) |
−0.0494620 | + | 0.998776i | \(0.515751\pi\) | |||||||
\(338\) | 413.772 | − | 110.870i | 1.22418 | − | 0.328017i | ||||
\(339\) | 137.093 | + | 71.6718i | 0.404405 | + | 0.211421i | ||||
\(340\) | −63.0445 | + | 252.891i | −0.185425 | + | 0.743797i | ||||
\(341\) | 154.378 | − | 267.390i | 0.452721 | − | 0.784136i | ||||
\(342\) | −11.9895 | + | 4.31630i | −0.0350569 | + | 0.0126207i | ||||
\(343\) | −301.048 | − | 164.374i | −0.877692 | − | 0.479225i | ||||
\(344\) | 96.1282 | 0.279442 | ||||||||
\(345\) | 198.207 | − | 11.7805i | 0.574513 | − | 0.0341465i | ||||
\(346\) | −135.958 | + | 78.4955i | −0.392943 | + | 0.226865i | ||||
\(347\) | 211.839 | + | 56.7622i | 0.610488 | + | 0.163580i | 0.550800 | − | 0.834637i | \(-0.314323\pi\) |
0.0596883 | + | 0.998217i | \(0.480989\pi\) | |||||||
\(348\) | −35.3035 | + | 38.3918i | −0.101447 | + | 0.110321i | ||||
\(349\) | −236.118 | −0.676555 | −0.338277 | − | 0.941046i | \(-0.609844\pi\) | ||||
−0.338277 | + | 0.941046i | \(0.609844\pi\) | |||||||
\(350\) | −196.454 | + | 150.519i | −0.561296 | + | 0.430054i | ||||
\(351\) | −581.906 | + | 73.5005i | −1.65785 | + | 0.209403i | ||||
\(352\) | −49.4290 | + | 13.2444i | −0.140423 | + | 0.0376263i | ||||
\(353\) | 261.390 | + | 70.0392i | 0.740481 | + | 0.198411i | 0.609292 | − | 0.792946i | \(-0.291454\pi\) |
0.131189 | + | 0.991357i | \(0.458121\pi\) | |||||||
\(354\) | −341.757 | − | 178.669i | −0.965415 | − | 0.504715i | ||||
\(355\) | 209.893 | − | 378.684i | 0.591247 | − | 1.06672i | ||||
\(356\) | −143.645 | −0.403498 | ||||||||
\(357\) | −68.0795 | + | 543.074i | −0.190699 | + | 1.52122i | ||||
\(358\) | 194.738 | − | 194.738i | 0.543961 | − | 0.543961i | ||||
\(359\) | −25.7908 | + | 44.6709i | −0.0718405 | + | 0.124431i | −0.899708 | − | 0.436492i | \(-0.856221\pi\) |
0.827867 | + | 0.560924i | \(0.189554\pi\) | |||||||
\(360\) | −98.6358 | − | 80.4424i | −0.273988 | − | 0.223451i | ||||
\(361\) | 179.999 | + | 311.767i | 0.498612 | + | 0.863621i | ||||
\(362\) | −345.481 | + | 92.5713i | −0.954367 | + | 0.255722i | ||||
\(363\) | 25.6332 | − | 114.673i | 0.0706148 | − | 0.315903i | ||||
\(364\) | 276.644 | + | 126.336i | 0.760011 | + | 0.347077i | ||||
\(365\) | 361.391 | − | 374.255i | 0.990113 | − | 1.02535i | ||||
\(366\) | 11.6812 | + | 278.747i | 0.0319158 | + | 0.761604i | ||||
\(367\) | 665.106 | + | 178.215i | 1.81228 | + | 0.485598i | 0.995782 | − | 0.0917533i | \(-0.0292471\pi\) |
0.816496 | + | 0.577352i | \(0.195914\pi\) | |||||||
\(368\) | 13.7041 | − | 51.1443i | 0.0372393 | − | 0.138979i | ||||
\(369\) | −136.102 | + | 94.5908i | −0.368840 | + | 0.256344i | ||||
\(370\) | −2.17082 | − | 124.147i | −0.00586707 | − | 0.335531i | ||||
\(371\) | 144.500 | − | 316.419i | 0.389489 | − | 0.852882i | ||||
\(372\) | 44.6743 | − | 199.855i | 0.120092 | − | 0.537246i | ||||
\(373\) | 144.478 | + | 539.199i | 0.387340 | + | 1.44557i | 0.834445 | + | 0.551091i | \(0.185788\pi\) |
−0.447105 | + | 0.894482i | \(0.647545\pi\) | |||||||
\(374\) | 288.758 | − | 166.715i | 0.772080 | − | 0.445761i | ||||
\(375\) | 130.745 | + | 351.469i | 0.348653 | + | 0.937252i | ||||
\(376\) | 77.1365 | + | 44.5348i | 0.205150 | + | 0.118444i | ||||
\(377\) | −133.526 | − | 133.526i | −0.354180 | − | 0.354180i | ||||
\(378\) | −225.812 | − | 143.007i | −0.597387 | − | 0.378324i | ||||
\(379\) | − | 205.024i | − | 0.540962i | −0.962725 | − | 0.270481i | \(-0.912817\pi\) | ||
0.962725 | − | 0.270481i | \(-0.0871827\pi\) | |||||||
\(380\) | 4.85347 | − | 8.75653i | 0.0127723 | − | 0.0230435i | ||||
\(381\) | 68.9231 | + | 36.0327i | 0.180900 | + | 0.0945739i | ||||
\(382\) | 14.5798 | − | 54.4127i | 0.0381671 | − | 0.142442i | ||||
\(383\) | 3.80025 | + | 14.1827i | 0.00992232 | + | 0.0370306i | 0.970710 | − | 0.240256i | \(-0.0772315\pi\) |
−0.960787 | + | 0.277287i | \(0.910565\pi\) | |||||||
\(384\) | −28.6576 | + | 18.1864i | −0.0746291 | + | 0.0473604i | ||||
\(385\) | 313.101 | + | 47.0345i | 0.813250 | + | 0.122167i | ||||
\(386\) | 2.28459i | 0.00591863i | ||||||||
\(387\) | 54.1702 | − | 301.043i | 0.139975 | − | 0.777889i | ||||
\(388\) | 3.96271 | − | 14.7890i | 0.0102132 | − | 0.0381161i | ||||
\(389\) | −106.806 | − | 184.994i | −0.274567 | − | 0.475563i | 0.695459 | − | 0.718566i | \(-0.255201\pi\) |
−0.970026 | + | 0.243002i | \(0.921868\pi\) | |||||||
\(390\) | 305.943 | − | 344.608i | 0.784468 | − | 0.883611i | ||||
\(391\) | 345.000i | 0.882353i | ||||||||
\(392\) | 60.5597 | + | 124.662i | 0.154489 | + | 0.318014i | ||||
\(393\) | −107.678 | + | 481.710i | −0.273990 | + | 1.22572i | ||||
\(394\) | 106.753 | + | 61.6336i | 0.270946 | + | 0.156430i | ||||
\(395\) | −206.130 | − | 343.035i | −0.521849 | − | 0.868442i | ||||
\(396\) | 13.6232 | + | 162.259i | 0.0344021 | + | 0.409746i | ||||
\(397\) | −133.489 | − | 498.188i | −0.336245 | − | 1.25488i | −0.902514 | − | 0.430661i | \(-0.858280\pi\) |
0.566269 | − | 0.824220i | \(-0.308386\pi\) | |||||||
\(398\) | 191.591 | − | 191.591i | 0.481383 | − | 0.481383i | ||||
\(399\) | 7.92530 | − | 19.4735i | 0.0198629 | − | 0.0488057i | ||||
\(400\) | 99.9389 | − | 3.49611i | 0.249847 | − | 0.00874028i | ||||
\(401\) | −37.5169 | − | 21.6604i | −0.0935583 | − | 0.0540159i | 0.452491 | − | 0.891769i | \(-0.350536\pi\) |
−0.546049 | + | 0.837753i | \(0.683869\pi\) | |||||||
\(402\) | 55.0121 | − | 17.2394i | 0.136846 | − | 0.0428840i | ||||
\(403\) | 716.180 | + | 191.900i | 1.77712 | + | 0.476178i | ||||
\(404\) | −269.406 | − | 155.542i | −0.666848 | − | 0.385005i | ||||
\(405\) | −307.503 | + | 263.565i | −0.759268 | + | 0.650778i | ||||
\(406\) | −8.18068 | − | 85.6636i | −0.0201494 | − | 0.210994i | ||||
\(407\) | −112.322 | + | 112.322i | −0.275975 | + | 0.275975i | ||||
\(408\) | 149.694 | − | 162.789i | 0.366897 | − | 0.398992i | ||||
\(409\) | −179.671 | − | 311.199i | −0.439293 | − | 0.760877i | 0.558342 | − | 0.829611i | \(-0.311438\pi\) |
−0.997635 | + | 0.0687334i | \(0.978104\pi\) | |||||||
\(410\) | 31.4994 | − | 126.354i | 0.0768279 | − | 0.308180i | ||||
\(411\) | −698.356 | + | 29.2653i | −1.69916 | + | 0.0712051i | ||||
\(412\) | 84.6523 | − | 84.6523i | 0.205467 | − | 0.205467i | ||||
\(413\) | 596.159 | − | 222.362i | 1.44348 | − | 0.538407i | ||||
\(414\) | −152.445 | − | 71.7377i | −0.368225 | − | 0.173279i | ||||
\(415\) | 79.4299 | − | 22.7788i | 0.191397 | − | 0.0548887i | ||||
\(416\) | −61.4428 | − | 106.422i | −0.147699 | − | 0.255822i | ||||
\(417\) | 728.198 | − | 228.198i | 1.74628 | − | 0.547238i | ||||
\(418\) | −12.3716 | + | 3.31497i | −0.0295972 | + | 0.00793054i | ||||
\(419\) | − | 281.779i | − | 0.672504i | −0.941772 | − | 0.336252i | \(-0.890841\pi\) | ||
0.941772 | − | 0.336252i | \(-0.109159\pi\) | |||||||
\(420\) | 207.496 | − | 32.3316i | 0.494039 | − | 0.0769799i | ||||
\(421\) | 577.752 | 1.37233 | 0.686166 | − | 0.727445i | \(-0.259292\pi\) | ||||
0.686166 | + | 0.727445i | \(0.259292\pi\) | |||||||
\(422\) | 124.437 | + | 464.406i | 0.294875 | + | 1.10049i | ||||
\(423\) | 182.937 | − | 216.471i | 0.432475 | − | 0.511752i | ||||
\(424\) | −121.723 | + | 70.2768i | −0.287083 | + | 0.165747i | ||||
\(425\) | −623.095 | + | 190.541i | −1.46610 | + | 0.448332i | ||||
\(426\) | −310.191 | + | 196.851i | −0.728148 | + | 0.462090i | ||||
\(427\) | −354.959 | − | 293.073i | −0.831286 | − | 0.686355i | ||||
\(428\) | 137.462 | + | 137.462i | 0.321172 | + | 0.321172i | ||||
\(429\) | −589.018 | + | 24.6834i | −1.37300 | + | 0.0575371i | ||||
\(430\) | 123.781 | + | 205.991i | 0.287862 | + | 0.479049i | ||||
\(431\) | −102.754 | + | 59.3253i | −0.238409 | + | 0.137646i | −0.614445 | − | 0.788959i | \(-0.710620\pi\) |
0.376036 | + | 0.926605i | \(0.377287\pi\) | |||||||
\(432\) | 40.8049 | + | 99.9948i | 0.0944558 | + | 0.231469i | ||||
\(433\) | −26.5938 | − | 26.5938i | −0.0614175 | − | 0.0614175i | 0.675731 | − | 0.737148i | \(-0.263828\pi\) |
−0.737148 | + | 0.675731i | \(0.763828\pi\) | |||||||
\(434\) | 195.994 | + | 275.229i | 0.451598 | + | 0.634168i | ||||
\(435\) | −127.728 | − | 26.2155i | −0.293627 | − | 0.0602655i | ||||
\(436\) | −208.063 | + | 360.376i | −0.477209 | + | 0.826551i | ||||
\(437\) | 3.43001 | − | 12.8010i | 0.00784898 | − | 0.0292928i | ||||
\(438\) | −421.255 | + | 132.010i | −0.961769 | + | 0.301393i | ||||
\(439\) | 130.238 | − | 225.578i | 0.296669 | − | 0.513845i | −0.678703 | − | 0.734413i | \(-0.737458\pi\) |
0.975372 | + | 0.220568i | \(0.0707909\pi\) | |||||||
\(440\) | −92.0290 | − | 88.8659i | −0.209157 | − | 0.201968i | ||||
\(441\) | 424.527 | − | 119.405i | 0.962647 | − | 0.270759i | ||||
\(442\) | 566.176 | + | 566.176i | 1.28094 | + | 1.28094i | ||||
\(443\) | −234.647 | + | 62.8734i | −0.529676 | + | 0.141926i | −0.513739 | − | 0.857947i | \(-0.671740\pi\) |
−0.0159375 | + | 0.999873i | \(0.505073\pi\) | |||||||
\(444\) | −48.8125 | + | 93.3683i | −0.109938 | + | 0.210289i | ||||
\(445\) | −184.966 | − | 307.814i | −0.415655 | − | 0.691718i | ||||
\(446\) | −214.803 | + | 372.051i | −0.481622 | + | 0.834194i | ||||
\(447\) | 74.2780 | − | 332.291i | 0.166170 | − | 0.743380i | ||||
\(448\) | 9.28597 | − | 55.2247i | 0.0207276 | − | 0.123269i | ||||
\(449\) | 50.5826 | 0.112656 | 0.0563280 | − | 0.998412i | \(-0.482061\pi\) | ||||
0.0563280 | + | 0.998412i | \(0.482061\pi\) | |||||||
\(450\) | 45.3688 | − | 314.947i | 0.100820 | − | 0.699882i | ||||
\(451\) | −144.274 | + | 83.2969i | −0.319899 | + | 0.184694i | ||||
\(452\) | 99.6178 | + | 26.6925i | 0.220393 | + | 0.0590542i | ||||
\(453\) | −230.468 | − | 211.928i | −0.508758 | − | 0.467833i | ||||
\(454\) | −169.596 | −0.373560 | ||||||||
\(455\) | 85.5011 | + | 755.493i | 0.187915 | + | 1.66042i | ||||
\(456\) | −7.17273 | + | 4.55189i | −0.0157297 | + | 0.00998221i | ||||
\(457\) | −124.709 | + | 33.4156i | −0.272885 | + | 0.0731194i | −0.392667 | − | 0.919681i | \(-0.628447\pi\) |
0.119781 | + | 0.992800i | \(0.461781\pi\) | |||||||
\(458\) | 10.5838 | + | 2.83593i | 0.0231088 | + | 0.00619199i | ||||
\(459\) | −425.448 | − | 560.529i | −0.926901 | − | 1.22120i | ||||
\(460\) | 127.242 | − | 36.4904i | 0.276613 | − | 0.0793269i | ||||
\(461\) | 320.833 | 0.695951 | 0.347975 | − | 0.937504i | \(-0.386869\pi\) | ||||
0.347975 | + | 0.937504i | \(0.386869\pi\) | |||||||
\(462\) | −214.148 | − | 162.225i | −0.463523 | − | 0.351136i | ||||
\(463\) | 47.6951 | − | 47.6951i | 0.103013 | − | 0.103013i | −0.653722 | − | 0.756735i | \(-0.726793\pi\) |
0.756735 | + | 0.653722i | \(0.226793\pi\) | |||||||
\(464\) | −17.3854 | + | 30.1124i | −0.0374685 | + | 0.0648974i | ||||
\(465\) | 485.791 | − | 161.614i | 1.04471 | − | 0.347558i | ||||
\(466\) | 67.7186 | + | 117.292i | 0.145319 | + | 0.251700i | ||||
\(467\) | 180.754 | − | 48.4328i | 0.387053 | − | 0.103711i | −0.0600447 | − | 0.998196i | \(-0.519124\pi\) |
0.447098 | + | 0.894485i | \(0.352458\pi\) | |||||||
\(468\) | −367.904 | + | 132.448i | −0.786120 | + | 0.283009i | ||||
\(469\) | −39.5126 | + | 86.5225i | −0.0842485 | + | 0.184483i | ||||
\(470\) | 3.89306 | + | 222.640i | 0.00828310 | + | 0.473702i | ||||
\(471\) | 602.483 | − | 25.2477i | 1.27916 | − | 0.0536044i | ||||
\(472\) | −248.335 | − | 66.5411i | −0.526133 | − | 0.140977i | ||||
\(473\) | 79.5728 | − | 296.970i | 0.168230 | − | 0.627843i | ||||
\(474\) | 14.2181 | + | 339.286i | 0.0299960 | + | 0.715793i | ||||
\(475\) | 25.0138 | − | 0.875045i | 0.0526606 | − | 0.00184220i | ||||
\(476\) | 34.6877 | + | 363.231i | 0.0728733 | + | 0.763090i | ||||
\(477\) | 151.491 | + | 420.801i | 0.317592 | + | 0.882181i | ||||
\(478\) | −8.06097 | − | 30.0839i | −0.0168639 | − | 0.0629371i | ||||
\(479\) | −9.08244 | + | 5.24375i | −0.0189613 | + | 0.0109473i | −0.509451 | − | 0.860500i | \(-0.670151\pi\) |
0.490489 | + | 0.871447i | \(0.336818\pi\) | |||||||
\(480\) | −75.8724 | − | 37.9918i | −0.158068 | − | 0.0791495i | ||||
\(481\) | −330.349 | − | 190.727i | −0.686796 | − | 0.396522i | ||||
\(482\) | −283.107 | − | 283.107i | −0.587358 | − | 0.587358i | ||||
\(483\) | 256.156 | − | 107.966i | 0.530344 | − | 0.223532i | ||||
\(484\) | − | 78.3352i | − | 0.161850i | ||||||
\(485\) | 36.7937 | − | 10.5517i | 0.0758633 | − | 0.0217560i | ||||
\(486\) | 336.147 | − | 71.4389i | 0.691659 | − | 0.146994i | ||||
\(487\) | 171.820 | − | 641.241i | 0.352813 | − | 1.31672i | −0.530401 | − | 0.847747i | \(-0.677959\pi\) |
0.883214 | − | 0.468970i | \(-0.155375\pi\) | |||||||
\(488\) | 48.1389 | + | 179.657i | 0.0986453 | + | 0.368149i | ||||
\(489\) | 180.144 | + | 283.866i | 0.368393 | + | 0.580503i | ||||
\(490\) | −189.154 | + | 290.294i | −0.386029 | + | 0.592437i | ||||
\(491\) | − | 141.943i | − | 0.289089i | −0.989498 | − | 0.144544i | \(-0.953828\pi\) | ||
0.989498 | − | 0.144544i | \(-0.0461717\pi\) | |||||||
\(492\) | −74.7927 | + | 81.3354i | −0.152018 | + | 0.165316i | ||||
\(493\) | 58.6376 | − | 218.839i | 0.118940 | − | 0.443892i | ||||
\(494\) | −15.3786 | − | 26.6365i | −0.0311307 | − | 0.0539200i | ||||
\(495\) | −330.160 | + | 238.128i | −0.666990 | + | 0.481067i | ||||
\(496\) | − | 136.525i | − | 0.275252i | ||||||
\(497\) | 100.512 | − | 597.756i | 0.202237 | − | 1.20273i | ||||
\(498\) | −68.4265 | − | 15.2956i | −0.137403 | − | 0.0307141i | ||||
\(499\) | −230.967 | − | 133.349i | −0.462860 | − | 0.267232i | 0.250386 | − | 0.968146i | \(-0.419442\pi\) |
−0.713246 | + | 0.700914i | \(0.752776\pi\) | |||||||
\(500\) | 136.179 | + | 209.655i | 0.272358 | + | 0.419310i | ||||
\(501\) | −850.183 | − | 444.472i | −1.69697 | − | 0.887169i | ||||
\(502\) | 167.521 | + | 625.198i | 0.333708 | + | 1.24542i | ||||
\(503\) | −554.413 | + | 554.413i | −1.10221 | + | 1.10221i | −0.108070 | + | 0.994143i | \(0.534467\pi\) |
−0.994143 | + | 0.108070i | \(0.965533\pi\) | |||||||
\(504\) | −167.714 | − | 60.2010i | −0.332765 | − | 0.119446i | ||||
\(505\) | −13.5969 | − | 777.590i | −0.0269245 | − | 1.53978i | ||||
\(506\) | −146.657 | − | 84.6722i | −0.289835 | − | 0.167336i | ||||
\(507\) | −271.734 | − | 867.125i | −0.535965 | − | 1.71031i | ||||
\(508\) | 50.0824 | + | 13.4195i | 0.0985874 | + | 0.0264164i | ||||
\(509\) | 136.350 | + | 78.7219i | 0.267879 | + | 0.154660i | 0.627923 | − | 0.778275i | \(-0.283905\pi\) |
−0.360044 | + | 0.932935i | \(0.617238\pi\) | |||||||
\(510\) | 541.592 | + | 111.159i | 1.06194 | + | 0.217959i | ||||
\(511\) | 302.567 | − | 662.545i | 0.592108 | − | 1.29657i | ||||
\(512\) | −16.0000 | + | 16.0000i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 10.2131 | + | 25.0278i | 0.0199086 | + | 0.0487871i | ||||
\(514\) | −12.1980 | − | 21.1275i | −0.0237314 | − | 0.0411040i | ||||
\(515\) | 290.403 | + | 72.3961i | 0.563889 | + | 0.140575i | ||||
\(516\) | −8.53793 | − | 203.740i | −0.0165464 | − | 0.394845i | ||||
\(517\) | 201.434 | − | 201.434i | 0.389620 | − | 0.389620i | ||||
\(518\) | −60.7495 | − | 162.871i | −0.117277 | − | 0.314423i | ||||
\(519\) | 178.444 | + | 281.186i | 0.343822 | + | 0.541784i | ||||
\(520\) | 148.932 | − | 268.700i | 0.286408 | − | 0.516731i | ||||
\(521\) | −204.683 | − | 354.522i | −0.392866 | − | 0.680464i | 0.599960 | − | 0.800030i | \(-0.295183\pi\) |
−0.992826 | + | 0.119566i | \(0.961850\pi\) | |||||||
\(522\) | 84.5054 | + | 71.4145i | 0.161888 | + | 0.136809i | ||||
\(523\) | −411.024 | + | 110.134i | −0.785897 | + | 0.210581i | −0.629383 | − | 0.777095i | \(-0.716692\pi\) |
−0.156514 | + | 0.987676i | \(0.550026\pi\) | |||||||
\(524\) | 329.065i | 0.627987i | ||||||||
\(525\) | 336.467 | + | 403.007i | 0.640890 | + | 0.767632i | ||||
\(526\) | −114.015 | −0.216759 | ||||||||
\(527\) | 230.237 | + | 859.255i | 0.436882 | + | 1.63047i | ||||
\(528\) | 32.4613 | + | 103.586i | 0.0614797 | + | 0.196186i | ||||
\(529\) | −306.381 | + | 176.889i | −0.579171 | + | 0.334384i | ||||
\(530\) | −307.333 | − | 170.345i | −0.579873 | − | 0.321406i | ||||
\(531\) | −348.327 | + | 740.209i | −0.655984 | + | 1.39399i | ||||
\(532\) | 2.32420 | − | 13.8223i | 0.00436879 | − | 0.0259817i | ||||
\(533\) | −282.883 | − | 282.883i | −0.530737 | − | 0.530737i | ||||
\(534\) | 12.7583 | + | 304.450i | 0.0238920 | + | 0.570132i | ||||
\(535\) | −117.560 | + | 471.568i | −0.219737 | + | 0.881435i | ||||
\(536\) | 33.2843 | − | 19.2167i | 0.0620976 | − | 0.0358520i | ||||
\(537\) | −430.036 | − | 395.443i | −0.800811 | − | 0.736393i | ||||
\(538\) | 374.197 | + | 374.197i | 0.695534 | + | 0.695534i | ||||
\(539\) | 435.248 | − | 83.8956i | 0.807511 | − | 0.155650i | ||||
\(540\) | −161.734 | + | 216.199i | −0.299507 | + | 0.400369i | ||||
\(541\) | −31.4934 | + | 54.5481i | −0.0582132 | + | 0.100828i | −0.893663 | − | 0.448738i | \(-0.851874\pi\) |
0.835450 | + | 0.549566i | \(0.185207\pi\) | |||||||
\(542\) | 152.461 | − | 568.991i | 0.281293 | − | 1.04980i | ||||
\(543\) | 226.886 | + | 724.011i | 0.417838 | + | 1.33335i | ||||
\(544\) | 73.7175 | − | 127.683i | 0.135510 | − | 0.234711i | ||||
\(545\) | −1040.16 | + | 18.1881i | −1.90855 | + | 0.0333726i | ||||
\(546\) | 243.193 | − | 597.557i | 0.445409 | − | 1.09443i | ||||
\(547\) | 283.231 | + | 283.231i | 0.517790 | + | 0.517790i | 0.916902 | − | 0.399112i | \(-0.130682\pi\) |
−0.399112 | + | 0.916902i | \(0.630682\pi\) | |||||||
\(548\) | −450.101 | + | 120.604i | −0.821353 | + | 0.220081i | ||||
\(549\) | 589.756 | − | 49.5156i | 1.07424 | − | 0.0901924i | ||||
\(550\) | 71.9266 | − | 311.636i | 0.130776 | − | 0.566611i | ||||
\(551\) | −4.35141 | + | 7.53686i | −0.00789729 | + | 0.0136785i | ||||
\(552\) | −109.615 | − | 24.5027i | −0.198579 | − | 0.0443889i | ||||
\(553\) | −432.050 | − | 356.724i | −0.781283 | − | 0.645070i | ||||
\(554\) | −201.637 | −0.363966 | ||||||||
\(555\) | −262.931 | + | 15.6274i | −0.473750 | + | 0.0281575i | ||||
\(556\) | 440.585 | − | 254.372i | 0.792420 | − | 0.457504i | ||||
\(557\) | −202.338 | − | 54.2162i | −0.363263 | − | 0.0973361i | 0.0725705 | − | 0.997363i | \(-0.476880\pi\) |
−0.435834 | + | 0.900027i | \(0.643546\pi\) | |||||||
\(558\) | −427.553 | − | 76.9346i | −0.766225 | − | 0.137876i | ||||
\(559\) | 738.298 | 1.32075 | ||||||||
\(560\) | 130.297 | − | 51.2120i | 0.232673 | − | 0.0914501i | ||||
\(561\) | −378.992 | − | 597.204i | −0.675565 | − | 1.06453i | ||||
\(562\) | −84.8031 | + | 22.7229i | −0.150895 | + | 0.0404322i | ||||
\(563\) | −706.397 | − | 189.279i | −1.25470 | − | 0.336196i | −0.430551 | − | 0.902566i | \(-0.641681\pi\) |
−0.824151 | + | 0.566370i | \(0.808347\pi\) | |||||||
\(564\) | 87.5386 | − | 167.443i | 0.155210 | − | 0.296885i | ||||
\(565\) | 71.0752 | + | 247.840i | 0.125797 | + | 0.438654i | ||||
\(566\) | −57.9764 | −0.102432 | ||||||||
\(567\) | −283.040 | + | 491.301i | −0.499189 | + | 0.866493i | ||||
\(568\) | −173.185 | + | 173.185i | −0.304903 | + | 0.304903i | ||||
\(569\) | 37.1577 | − | 64.3590i | 0.0653035 | − | 0.113109i | −0.831525 | − | 0.555487i | \(-0.812532\pi\) |
0.896829 | + | 0.442378i | \(0.145865\pi\) | |||||||
\(570\) | −18.9902 | − | 9.50900i | −0.0333161 | − | 0.0166825i | ||||
\(571\) | 320.383 | + | 554.920i | 0.561092 | + | 0.971839i | 0.997402 | + | 0.0720429i | \(0.0229519\pi\) |
−0.436310 | + | 0.899797i | \(0.643715\pi\) | |||||||
\(572\) | −379.632 | + | 101.722i | −0.663691 | + | 0.177836i | ||||
\(573\) | −116.620 | − | 26.0685i | −0.203526 | − | 0.0454948i | ||||
\(574\) | −17.3313 | − | 181.484i | −0.0301939 | − | 0.316174i | ||||
\(575\) | 242.039 | + | 225.677i | 0.420938 | + | 0.392482i | ||||
\(576\) | 41.0906 | + | 59.1233i | 0.0713379 | + | 0.102645i | ||||
\(577\) | −802.797 | − | 215.109i | −1.39133 | − | 0.372805i | −0.516106 | − | 0.856525i | \(-0.672619\pi\) |
−0.875223 | + | 0.483719i | \(0.839286\pi\) | |||||||
\(578\) | −142.854 | + | 533.139i | −0.247152 | + | 0.922385i | ||||
\(579\) | 4.84210 | − | 0.202913i | 0.00836287 | − | 0.000350455i | ||||
\(580\) | −86.9137 | + | 1.51976i | −0.149851 | + | 0.00262028i | ||||
\(581\) | 94.2330 | − | 67.1043i | 0.162191 | − | 0.115498i | ||||
\(582\) | −31.6967 | − | 7.08527i | −0.0544617 | − | 0.0121740i | ||||
\(583\) | 116.347 | + | 434.214i | 0.199566 | + | 0.744792i | ||||
\(584\) | −254.874 | + | 147.152i | −0.436428 | + | 0.251972i | ||||
\(585\) | −757.557 | − | 617.826i | −1.29497 | − | 1.05611i | ||||
\(586\) | −637.417 | − | 368.013i | −1.08774 | − | 0.628008i | ||||
\(587\) | 62.0401 | + | 62.0401i | 0.105690 | + | 0.105690i | 0.757974 | − | 0.652284i | \(-0.226189\pi\) |
−0.652284 | + | 0.757974i | \(0.726189\pi\) | |||||||
\(588\) | 258.837 | − | 139.426i | 0.440198 | − | 0.237119i | ||||
\(589\) | − | 34.1710i | − | 0.0580153i | ||||||
\(590\) | −177.182 | − | 617.834i | −0.300308 | − | 1.04718i | ||||
\(591\) | 121.148 | − | 231.732i | 0.204989 | − | 0.392101i | ||||
\(592\) | −18.1791 | + | 67.8453i | −0.0307079 | + | 0.114604i | ||||
\(593\) | −118.402 | − | 441.882i | −0.199666 | − | 0.745164i | −0.991009 | − | 0.133792i | \(-0.957285\pi\) |
0.791343 | − | 0.611372i | \(-0.209382\pi\) | |||||||
\(594\) | 342.692 | − | 43.2854i | 0.576923 | − | 0.0728711i | ||||
\(595\) | −733.693 | + | 542.050i | −1.23310 | + | 0.911008i | ||||
\(596\) | − | 226.994i | − | 0.380863i | ||||||
\(597\) | −423.085 | − | 389.052i | −0.708686 | − | 0.651678i | ||||
\(598\) | 105.252 | − | 392.806i | 0.176007 | − | 0.656866i | ||||
\(599\) | 369.179 | + | 639.437i | 0.616326 | + | 1.06751i | 0.990150 | + | 0.140008i | \(0.0447130\pi\) |
−0.373824 | + | 0.927500i | \(0.621954\pi\) | |||||||
\(600\) | −16.2863 | − | 211.506i | −0.0271438 | − | 0.352510i | ||||
\(601\) | − | 975.970i | − | 1.62391i | −0.583720 | − | 0.811955i | \(-0.698403\pi\) | ||
0.583720 | − | 0.811955i | \(-0.301597\pi\) | |||||||
\(602\) | 259.444 | + | 214.211i | 0.430970 | + | 0.355832i | ||||
\(603\) | −41.4242 | − | 115.065i | −0.0686969 | − | 0.190821i | ||||
\(604\) | −180.766 | − | 104.365i | −0.299281 | − | 0.172790i | ||||
\(605\) | 167.863 | − | 100.869i | 0.277459 | − | 0.166726i | ||||
\(606\) | −305.737 | + | 584.811i | −0.504516 | + | 0.965035i | ||||
\(607\) | −84.9286 | − | 316.958i | −0.139915 | − | 0.522171i | −0.999929 | − | 0.0119003i | \(-0.996212\pi\) |
0.860014 | − | 0.510271i | \(-0.170455\pi\) | |||||||
\(608\) | −4.00466 | + | 4.00466i | −0.00658661 | + | 0.00658661i | ||||
\(609\) | −180.834 | + | 24.9471i | −0.296936 | + | 0.0409640i | ||||
\(610\) | −322.996 | + | 334.493i | −0.529502 | + | 0.548349i | ||||
\(611\) | 592.435 | + | 342.043i | 0.969615 | + | 0.559808i | ||||
\(612\) | −358.320 | − | 302.812i | −0.585490 | − | 0.494790i | ||||
\(613\) | −48.2499 | − | 12.9285i | −0.0787110 | − | 0.0210906i | 0.219249 | − | 0.975669i | \(-0.429639\pi\) |
−0.297960 | + | 0.954578i | \(0.596306\pi\) | |||||||
\(614\) | −88.0552 | − | 50.8387i | −0.143412 | − | 0.0827992i | ||||
\(615\) | −270.600 | − | 55.5392i | −0.439999 | − | 0.0903077i | ||||
\(616\) | −162.920 | − | 74.4011i | −0.264480 | − | 0.120781i | ||||
\(617\) | −788.450 | + | 788.450i | −1.27788 | + | 1.27788i | −0.336022 | + | 0.941854i | \(0.609082\pi\) |
−0.941854 | + | 0.336022i | \(0.890918\pi\) | |||||||
\(618\) | −186.936 | − | 171.898i | −0.302485 | − | 0.278153i | ||||
\(619\) | 428.784 | + | 742.675i | 0.692704 | + | 1.19980i | 0.970949 | + | 0.239288i | \(0.0769140\pi\) |
−0.278245 | + | 0.960510i | \(0.589753\pi\) | |||||||
\(620\) | 292.557 | − | 175.798i | 0.471866 | − | 0.283545i | ||||
\(621\) | −138.505 | + | 329.473i | −0.223036 | + | 0.530553i | ||||
\(622\) | −98.7787 | + | 98.7787i | −0.158808 | + | 0.158808i | ||||
\(623\) | −387.690 | − | 320.098i | −0.622295 | − | 0.513800i | ||||
\(624\) | −220.100 | + | 139.678i | −0.352724 | + | 0.223842i | ||||
\(625\) | −273.913 | + | 561.780i | −0.438260 | + | 0.898848i | ||||
\(626\) | 269.232 | + | 466.323i | 0.430082 | + | 0.744925i | ||||
\(627\) | 8.12476 | + | 25.9267i | 0.0129582 | + | 0.0413505i | ||||
\(628\) | 388.310 | − | 104.047i | 0.618328 | − | 0.165680i | ||||
\(629\) | − | 457.659i | − | 0.727598i | ||||||
\(630\) | −86.9549 | − | 436.908i | −0.138024 | − | 0.693505i | ||||
\(631\) | 373.933 | 0.592604 | 0.296302 | − | 0.955094i | \(-0.404246\pi\) | ||||
0.296302 | + | 0.955094i | \(0.404246\pi\) | |||||||
\(632\) | 58.5938 | + | 218.675i | 0.0927117 | + | 0.346005i | ||||
\(633\) | 973.238 | − | 304.988i | 1.53750 | − | 0.481813i | ||||
\(634\) | 248.159 | − | 143.274i | 0.391417 | − | 0.225985i | ||||
\(635\) | 35.7327 | + | 124.600i | 0.0562720 | + | 0.196221i | ||||
\(636\) | 159.760 | + | 251.745i | 0.251195 | + | 0.395826i | ||||
\(637\) | 465.120 | + | 957.444i | 0.730172 | + | 1.50305i | ||||
\(638\) | 78.6352 | + | 78.6352i | 0.123253 | + | 0.123253i | ||||
\(639\) | 444.767 | + | 639.954i | 0.696037 | + | 1.00149i | ||||
\(640\) | −54.8886 | − | 13.6835i | −0.0857635 | − | 0.0213804i | ||||
\(641\) | 18.2627 | − | 10.5440i | 0.0284909 | − | 0.0164492i | −0.485687 | − | 0.874133i | \(-0.661430\pi\) |
0.514178 | + | 0.857684i | \(0.328097\pi\) | |||||||
\(642\) | 279.135 | − | 303.554i | 0.434790 | − | 0.472825i | ||||
\(643\) | 114.721 | + | 114.721i | 0.178416 | + | 0.178416i | 0.790665 | − | 0.612249i | \(-0.209735\pi\) |
−0.612249 | + | 0.790665i | \(0.709735\pi\) | |||||||
\(644\) | 150.956 | − | 107.497i | 0.234404 | − | 0.166921i | ||||
\(645\) | 425.596 | − | 280.644i | 0.659838 | − | 0.435106i | ||||
\(646\) | 18.4508 | − | 31.9578i | 0.0285617 | − | 0.0494703i | ||||
\(647\) | 195.244 | − | 728.662i | 0.301769 | − | 1.12622i | −0.633923 | − | 0.773396i | \(-0.718556\pi\) |
0.935691 | − | 0.352819i | \(-0.114777\pi\) | |||||||
\(648\) | 208.311 | − | 95.3657i | 0.321467 | − | 0.147169i | ||||
\(649\) | −411.132 | + | 712.102i | −0.633486 | + | 1.09723i | ||||
\(650\) | 767.565 | − | 26.8513i | 1.18087 | − | 0.0413098i | ||||
\(651\) | 565.929 | − | 439.846i | 0.869323 | − | 0.675646i | ||||
\(652\) | 158.487 | + | 158.487i | 0.243078 | + | 0.243078i | ||||
\(653\) | 542.173 | − | 145.275i | 0.830280 | − | 0.222473i | 0.181444 | − | 0.983401i | \(-0.441923\pi\) |
0.648836 | + | 0.760928i | \(0.275256\pi\) | |||||||
\(654\) | 782.283 | + | 408.974i | 1.19615 | + | 0.625342i | ||||
\(655\) | −705.147 | + | 423.725i | −1.07656 | + | 0.646908i | ||||
\(656\) | −36.8321 | + | 63.7950i | −0.0561464 | + | 0.0972485i | ||||
\(657\) | 317.206 | + | 881.108i | 0.482809 | + | 1.34111i | ||||
\(658\) | 108.946 | + | 292.087i | 0.165571 | + | 0.443901i | ||||
\(659\) | 69.2421 | 0.105072 | 0.0525358 | − | 0.998619i | \(-0.483270\pi\) | ||||
0.0525358 | + | 0.998619i | \(0.483270\pi\) | |||||||
\(660\) | −180.174 | + | 202.945i | −0.272991 | + | 0.307492i | ||||
\(661\) | 576.339 | − | 332.749i | 0.871920 | − | 0.503403i | 0.00393407 | − | 0.999992i | \(-0.498748\pi\) |
0.867986 | + | 0.496589i | \(0.165414\pi\) | |||||||
\(662\) | 711.494 | + | 190.644i | 1.07476 | + | 0.287982i | ||||
\(663\) | 1149.70 | − | 1250.27i | 1.73409 | − | 1.88578i | ||||
\(664\) | −46.7435 | −0.0703968 | ||||||||
\(665\) | 32.6122 | − | 12.8179i | 0.0490409 | − | 0.0192751i | ||||
\(666\) | 202.226 | + | 95.1634i | 0.303642 | + | 0.142888i | ||||
\(667\) | −111.145 | + | 29.7813i | −0.166635 | + | 0.0446497i | ||||
\(668\) | −617.778 | − | 165.533i | −0.924818 | − | 0.247804i | ||||
\(669\) | 807.625 | + | 422.223i | 1.20721 | + | 0.631125i | ||||
\(670\) | 84.0379 | + | 46.5796i | 0.125430 | + | 0.0695218i | ||||
\(671\) | 594.864 | 0.886534 | ||||||||
\(672\) | −117.871 | − | 14.7763i | −0.175404 | − | 0.0219885i | ||||
\(673\) | 331.687 | − | 331.687i | 0.492848 | − | 0.492848i | −0.416355 | − | 0.909202i | \(-0.636692\pi\) |
0.909202 | + | 0.416355i | \(0.136692\pi\) | |||||||
\(674\) | 319.919 | − | 554.116i | 0.474657 | − | 0.822130i | ||||
\(675\) | −671.547 | − | 68.1844i | −0.994885 | − | 0.101014i | ||||
\(676\) | −302.902 | − | 524.641i | −0.448080 | − | 0.776097i | ||||
\(677\) | −321.864 | + | 86.2431i | −0.475426 | + | 0.127390i | −0.488572 | − | 0.872523i | \(-0.662482\pi\) |
0.0131458 | + | 0.999914i | \(0.495815\pi\) | |||||||
\(678\) | 47.7258 | − | 213.507i | 0.0703921 | − | 0.314907i | ||||
\(679\) | 43.6508 | − | 31.0842i | 0.0642870 | − | 0.0457794i | ||||
\(680\) | 368.531 | − | 6.44410i | 0.541958 | − | 0.00947662i | ||||
\(681\) | 15.0632 | + | 359.452i | 0.0221193 | + | 0.527830i | ||||
\(682\) | −421.768 | − | 113.012i | −0.618429 | − | 0.165707i | ||||
\(683\) | −82.7545 | + | 308.844i | −0.121163 | + | 0.452188i | −0.999674 | − | 0.0255353i | \(-0.991871\pi\) |
0.878511 | + | 0.477723i | \(0.158538\pi\) | |||||||
\(684\) | 10.2846 | + | 14.7980i | 0.0150360 | + | 0.0216345i | ||||
\(685\) | −838.018 | − | 809.215i | −1.22338 | − | 1.18134i | ||||
\(686\) | −114.348 | + | 471.405i | −0.166688 | + | 0.687179i | ||||
\(687\) | 5.07061 | − | 22.6839i | 0.00738080 | − | 0.0330188i | ||||
\(688\) | −35.1854 | − | 131.314i | −0.0511415 | − | 0.190863i | ||||
\(689\) | −934.875 | + | 539.750i | −1.35686 | + | 0.783382i | ||||
\(690\) | −88.6413 | − | 266.444i | −0.128466 | − | 0.386150i | ||||
\(691\) | 606.389 | + | 350.099i | 0.877553 | + | 0.506656i | 0.869851 | − | 0.493315i | \(-0.164215\pi\) |
0.00770241 | + | 0.999970i | \(0.497548\pi\) | |||||||
\(692\) | 156.991 | + | 156.991i | 0.226865 | + | 0.226865i | ||||
\(693\) | −324.809 | + | 468.286i | −0.468700 | + | 0.675738i | ||||
\(694\) | − | 310.155i | − | 0.446909i | ||||||
\(695\) | 1112.41 | + | 616.576i | 1.60059 | + | 0.887160i | ||||
\(696\) | 65.3661 | + | 34.1731i | 0.0939168 | + | 0.0490993i | ||||
\(697\) | 124.228 | − | 463.624i | 0.178232 | − | 0.665170i | ||||
\(698\) | 86.4251 | + | 322.543i | 0.123818 | + | 0.462096i | ||||
\(699\) | 242.581 | − | 153.944i | 0.347040 | − | 0.220235i | ||||
\(700\) | 277.520 | + | 213.267i | 0.396457 | + | 0.304667i | ||||
\(701\) | 722.146i | 1.03017i | 0.857141 | + | 0.515083i | \(0.172239\pi\) | ||||
−0.857141 | + | 0.515083i | \(0.827761\pi\) | |||||||
\(702\) | 313.396 | + | 767.995i | 0.446433 | + | 1.09401i | ||||
\(703\) | −4.55007 | + | 16.9811i | −0.00647236 | + | 0.0241552i | ||||
\(704\) | 36.1845 | + | 62.6734i | 0.0513984 | + | 0.0890247i | ||||
\(705\) | 471.531 | − | 28.0256i | 0.668838 | − | 0.0397527i | ||||
\(706\) | − | 382.701i | − | 0.542070i | ||||||
\(707\) | −380.504 | − | 1020.14i | −0.538195 | − | 1.44291i | ||||
\(708\) | −118.975 | + | 532.246i | −0.168043 | + | 0.751760i | ||||
\(709\) | −185.418 | − | 107.051i | −0.261520 | − | 0.150989i | 0.363508 | − | 0.931591i | \(-0.381579\pi\) |
−0.625028 | + | 0.780603i | \(0.714912\pi\) | |||||||
\(710\) | −594.118 | − | 148.111i | −0.836786 | − | 0.208607i | ||||
\(711\) | 717.840 | − | 60.2695i | 1.00962 | − | 0.0847672i | ||||
\(712\) | 52.5778 | + | 196.223i | 0.0738452 | + | 0.275594i | ||||
\(713\) | 319.471 | − | 319.471i | 0.448065 | − | 0.448065i | ||||
\(714\) | 766.772 | − | 105.781i | 1.07391 | − | 0.148152i | ||||
\(715\) | −706.815 | − | 682.521i | −0.988552 | − | 0.954575i | ||||
\(716\) | −337.296 | − | 194.738i | −0.471084 | − | 0.271980i | ||||
\(717\) | −63.0457 | + | 19.7569i | −0.0879299 | + | 0.0275549i | ||||
\(718\) | 70.4617 | + | 18.8801i | 0.0981360 | + | 0.0262955i | ||||
\(719\) | 483.185 | + | 278.967i | 0.672023 | + | 0.387993i | 0.796843 | − | 0.604187i | \(-0.206502\pi\) |
−0.124820 | + | 0.992179i | \(0.539835\pi\) | |||||||
\(720\) | −73.7832 | + | 164.183i | −0.102477 | + | 0.228032i | ||||
\(721\) | 417.110 | − | 39.8330i | 0.578516 | − | 0.0552469i | ||||
\(722\) | 359.998 | − | 359.998i | 0.498612 | − | 0.498612i | ||||
\(723\) | −574.889 | + | 625.179i | −0.795143 | + | 0.864701i | ||||
\(724\) | 252.910 | + | 438.052i | 0.349323 | + | 0.605044i | ||||
\(725\) | −115.172 | − | 184.288i | −0.158858 | − | 0.254191i | ||||
\(726\) | −166.028 | + | 6.95759i | −0.228689 | + | 0.00958345i | ||||
\(727\) | −364.579 | + | 364.579i | −0.501484 | + | 0.501484i | −0.911899 | − | 0.410415i | \(-0.865384\pi\) |
0.410415 | + | 0.911899i | \(0.365384\pi\) | |||||||
\(728\) | 71.3195 | − | 424.145i | 0.0979663 | − | 0.582617i | ||||
\(729\) | −181.268 | − | 706.104i | −0.248653 | − | 0.968593i | ||||
\(730\) | −643.520 | − | 356.683i | −0.881534 | − | 0.488607i | ||||
\(731\) | 442.896 | + | 767.118i | 0.605877 | + | 1.04941i | ||||
\(732\) | 376.500 | − | 117.985i | 0.514344 | − | 0.161182i | ||||
\(733\) | −95.8396 | + | 25.6801i | −0.130750 | + | 0.0350343i | −0.323600 | − | 0.946194i | \(-0.604893\pi\) |
0.192851 | + | 0.981228i | \(0.438227\pi\) | |||||||
\(734\) | − | 973.782i | − | 1.32668i | ||||||
\(735\) | 632.067 | + | 375.122i | 0.859955 | + | 0.510370i | ||||
\(736\) | −74.8804 | −0.101740 | ||||||||
\(737\) | −31.8143 | − | 118.733i | −0.0431673 | − | 0.161103i | ||||
\(738\) | 179.030 | + | 151.296i | 0.242588 | + | 0.205008i | ||||
\(739\) | −134.441 | + | 77.6197i | −0.181923 | + | 0.105033i | −0.588196 | − | 0.808718i | \(-0.700162\pi\) |
0.406273 | + | 0.913752i | \(0.366828\pi\) | |||||||
\(740\) | −168.793 | + | 48.4062i | −0.228098 | + | 0.0654138i | ||||
\(741\) | −55.0890 | + | 34.9601i | −0.0743442 | + | 0.0471796i | ||||
\(742\) | −485.127 | − | 81.5736i | −0.653810 | − | 0.109937i | ||||
\(743\) | −302.142 | − | 302.142i | −0.406652 | − | 0.406652i | 0.473918 | − | 0.880569i | \(-0.342839\pi\) |
−0.880569 | + | 0.473918i | \(0.842839\pi\) | |||||||
\(744\) | −289.360 | + | 12.1259i | −0.388924 | + | 0.0162983i | ||||
\(745\) | 486.421 | − | 292.292i | 0.652914 | − | 0.392338i | ||||
\(746\) | 683.677 | − | 394.721i | 0.916457 | − | 0.529116i | ||||
\(747\) | −26.3409 | + | 146.386i | −0.0352622 | + | 0.195965i | ||||
\(748\) | −333.429 | − | 333.429i | −0.445761 | − | 0.445761i | ||||
\(749\) | 64.6824 | + | 677.319i | 0.0863584 | + | 0.904297i | ||||
\(750\) | 432.260 | − | 307.247i | 0.576347 | − | 0.409663i | ||||
\(751\) | 159.170 | − | 275.691i | 0.211944 | − | 0.367098i | −0.740379 | − | 0.672190i | \(-0.765354\pi\) |
0.952323 | + | 0.305092i | \(0.0986871\pi\) | |||||||
\(752\) | 32.6017 | − | 121.671i | 0.0433533 | − | 0.161797i | ||||
\(753\) | 1310.20 | − | 410.584i | 1.73998 | − | 0.545264i | ||||
\(754\) | −133.526 | + | 231.274i | −0.177090 | + | 0.306729i | ||||
\(755\) | −9.12321 | − | 521.746i | −0.0120837 | − | 0.691055i | ||||
\(756\) | −112.698 | + | 360.809i | −0.149071 | + | 0.477261i | ||||
\(757\) | 315.962 | + | 315.962i | 0.417387 | + | 0.417387i | 0.884302 | − | 0.466915i | \(-0.154635\pi\) |
−0.466915 | + | 0.884302i | \(0.654635\pi\) | |||||||
\(758\) | −280.069 | + | 75.0442i | −0.369484 | + | 0.0990028i | ||||
\(759\) | −166.434 | + | 318.353i | −0.219280 | + | 0.419438i | ||||
\(760\) | −13.7381 | − | 3.42485i | −0.0180765 | − | 0.00450638i | ||||
\(761\) | 479.802 | − | 831.042i | 0.630489 | − | 1.09204i | −0.356963 | − | 0.934119i | \(-0.616188\pi\) |
0.987452 | − | 0.157921i | \(-0.0504790\pi\) | |||||||
\(762\) | 23.9939 | − | 107.340i | 0.0314881 | − | 0.140866i | ||||
\(763\) | −1364.61 | + | 508.987i | −1.78848 | + | 0.667087i | ||||
\(764\) | −79.6657 | −0.104274 | ||||||||
\(765\) | 187.494 | − | 1157.76i | 0.245090 | − | 1.51341i | ||||
\(766\) | 17.9830 | − | 10.3825i | 0.0234765 | − | 0.0135541i | ||||
\(767\) | −1907.30 | − | 511.059i | −2.48670 | − | 0.666309i | ||||
\(768\) | 35.3325 | + | 32.4903i | 0.0460058 | + | 0.0423050i | ||||
\(769\) | 10.9601 | 0.0142524 | 0.00712619 | − | 0.999975i | \(-0.497732\pi\) | ||||
0.00712619 | + | 0.999975i | \(0.497732\pi\) | |||||||
\(770\) | −50.3528 | − | 444.920i | −0.0653932 | − | 0.577818i | ||||
\(771\) | −43.6955 | + | 27.7296i | −0.0566737 | + | 0.0359657i | ||||
\(772\) | 3.12081 | − | 0.836219i | 0.00404250 | − | 0.00108318i | ||||
\(773\) | 1048.61 | + | 280.974i | 1.35655 | + | 0.363485i | 0.862547 | − | 0.505978i | \(-0.168868\pi\) |
0.493999 | + | 0.869463i | \(0.335535\pi\) | |||||||
\(774\) | −431.060 | + | 36.1916i | −0.556925 | + | 0.0467592i | ||||
\(775\) | 753.428 | + | 400.545i | 0.972165 | + | 0.516832i | ||||
\(776\) | −21.6526 | −0.0279029 | ||||||||
\(777\) | −339.803 | + | 143.222i | −0.437327 | + | 0.184327i | ||||
\(778\) | −213.613 | + | 213.613i | −0.274567 | + | 0.274567i | ||||
\(779\) | −9.21874 | + | 15.9673i | −0.0118341 | + | 0.0204972i | ||||
\(780\) | −582.727 | − | 291.790i | −0.747085 | − | 0.374090i | ||||
\(781\) | 391.663 | + | 678.381i | 0.501489 | + | 0.868605i | ||||
\(782\) | 471.279 | − | 126.279i | 0.602658 | − | 0.161482i | ||||
\(783\) | 143.855 | − | 185.449i | 0.183722 | − | 0.236844i | ||||
\(784\) | 148.125 | − | 128.355i | 0.188934 | − | 0.163719i | ||||
\(785\) | 722.972 | + | 698.123i | 0.920984 | + | 0.889329i | ||||
\(786\) | 697.441 | − | 29.2270i | 0.887329 | − | 0.0371845i | ||||
\(787\) | −1504.05 | − | 403.008i | −1.91111 | − | 0.512081i | −0.993379 | − | 0.114885i | \(-0.963350\pi\) |
−0.917734 | − | 0.397196i | \(-0.869983\pi\) | |||||||
\(788\) | 45.1189 | − | 168.386i | 0.0572575 | − | 0.213688i | ||||
\(789\) | 10.1266 | + | 241.650i | 0.0128347 | + | 0.306274i | ||||
\(790\) | −393.145 | + | 407.139i | −0.497652 | + | 0.515366i | ||||
\(791\) | 209.381 | + | 294.029i | 0.264704 | + | 0.371718i | ||||
\(792\) | 216.664 | − | 78.0007i | 0.273566 | − | 0.0984858i | ||||
\(793\) | 369.724 | + | 1379.83i | 0.466234 | + | 1.74001i | ||||
\(794\) | −631.677 | + | 364.699i | −0.795563 | + | 0.459319i | ||||
\(795\) | −333.743 | + | 666.509i | −0.419802 | + | 0.838376i | ||||
\(796\) | −331.845 | − | 191.591i | −0.416890 | − | 0.240692i | ||||
\(797\) | 364.869 | + | 364.869i | 0.457803 | + | 0.457803i | 0.897934 | − | 0.440131i | \(-0.145068\pi\) |
−0.440131 | + | 0.897934i | \(0.645068\pi\) | |||||||
\(798\) | −29.5021 | − | 3.69837i | −0.0369701 | − | 0.00463455i | ||||
\(799\) | 820.749i | 1.02722i | ||||||||
\(800\) | −41.3559 | − | 135.239i | −0.0516949 | − | 0.169049i | ||||
\(801\) | 644.137 | − | 54.0814i | 0.804166 | − | 0.0675174i | ||||
\(802\) | −15.8565 | + | 59.1773i | −0.0197712 | + | 0.0737871i | ||||
\(803\) | 243.618 | + | 909.194i | 0.303385 | + | 1.13225i | ||||
\(804\) | −43.6853 | − | 68.8379i | −0.0543349 | − | 0.0856193i | ||||
\(805\) | 424.734 | + | 185.060i | 0.527620 | + | 0.229888i | ||||
\(806\) | − | 1048.56i | − | 1.30094i | ||||||
\(807\) | 759.861 | − | 826.332i | 0.941588 | − | 1.02396i | ||||
\(808\) | −113.865 | + | 424.948i | −0.140921 | + | 0.525926i | ||||
\(809\) | −634.550 | − | 1099.07i | −0.784364 | − | 1.35856i | −0.929378 | − | 0.369128i | \(-0.879656\pi\) |
0.145015 | − | 0.989430i | \(-0.453677\pi\) | |||||||
\(810\) | 472.591 | + | 323.586i | 0.583445 | + | 0.399489i | ||||
\(811\) | 435.888i | 0.537470i | 0.963214 | + | 0.268735i | \(0.0866056\pi\) | ||||
−0.963214 | + | 0.268735i | \(0.913394\pi\) | |||||||
\(812\) | −114.024 | + | 42.5300i | −0.140424 | + | 0.0523769i | ||||
\(813\) | −1219.49 | − | 272.597i | −1.49999 | − | 0.335298i | ||||
\(814\) | 194.547 | + | 112.322i | 0.239001 | + | 0.137987i | ||||
\(815\) | −135.541 | + | 543.696i | −0.166308 | + | 0.667112i | ||||
\(816\) | −277.165 | − | 144.901i | −0.339664 | − | 0.177575i | ||||
\(817\) | −8.80658 | − | 32.8666i | −0.0107792 | − | 0.0402284i | ||||
\(818\) | −359.341 | + | 359.341i | −0.439293 | + | 0.439293i | ||||
\(819\) | −1288.10 | − | 462.364i | −1.57277 | − | 0.564547i | ||||
\(820\) | −184.132 | + | 3.21972i | −0.224551 | + | 0.00392648i | ||||
\(821\) | −1246.41 | − | 719.617i | −1.51816 | − | 0.876513i | −0.999772 | − | 0.0213702i | \(-0.993197\pi\) |
−0.518393 | − | 0.855143i | \(-0.673470\pi\) | |||||||
\(822\) | 295.593 | + | 943.260i | 0.359602 | + | 1.14752i | ||||
\(823\) | −526.459 | − | 141.064i | −0.639683 | − | 0.171403i | −0.0756233 | − | 0.997136i | \(-0.524095\pi\) |
−0.564060 | + | 0.825734i | \(0.690761\pi\) | |||||||
\(824\) | −146.622 | − | 84.6523i | −0.177939 | − | 0.102733i | ||||
\(825\) | −666.889 | − | 124.767i | −0.808350 | − | 0.151232i | ||||
\(826\) | −521.961 | − | 732.978i | −0.631914 | − | 0.887382i | ||||
\(827\) | 693.521 | − | 693.521i | 0.838599 | − | 0.838599i | −0.150076 | − | 0.988674i | \(-0.547952\pi\) |
0.988674 | + | 0.150076i | \(0.0479518\pi\) | |||||||
\(828\) | −42.1966 | + | 234.502i | −0.0509621 | + | 0.283215i | ||||
\(829\) | −178.587 | − | 309.322i | −0.215425 | − | 0.373127i | 0.737979 | − | 0.674824i | \(-0.235780\pi\) |
−0.953404 | + | 0.301697i | \(0.902447\pi\) | |||||||
\(830\) | −60.1898 | − | 100.166i | −0.0725178 | − | 0.120681i | ||||
\(831\) | 17.9091 | + | 427.362i | 0.0215512 | + | 0.514275i | ||||
\(832\) | −122.886 | + | 122.886i | −0.147699 | + | 0.147699i | ||||
\(833\) | −715.800 | + | 1057.64i | −0.859303 | + | 1.26967i | ||||
\(834\) | −578.264 | − | 911.210i | −0.693362 | − | 1.09258i | ||||
\(835\) | −440.772 | − | 1536.97i | −0.527870 | − | 1.84069i | ||||
\(836\) | 9.05666 | + | 15.6866i | 0.0108333 | + | 0.0187639i | ||||
\(837\) | −125.085 | + | 913.016i | −0.149445 | + | 1.09082i | ||||
\(838\) | −384.918 | + | 103.138i | −0.459329 | + | 0.123077i | ||||
\(839\) | 3.74531i | 0.00446402i | 0.999998 | + | 0.00223201i | \(0.000710472\pi\) | ||||
−0.999998 | + | 0.00223201i | \(0.999290\pi\) | |||||||
\(840\) | −120.115 | − | 271.611i | −0.142994 | − | 0.323346i | ||||
\(841\) | −765.437 | −0.910151 | ||||||||
\(842\) | −211.472 | − | 789.224i | −0.251154 | − | 0.937321i | ||||
\(843\) | 55.6924 | + | 177.718i | 0.0660645 | + | 0.210817i | ||||
\(844\) | 588.844 | − | 339.969i | 0.697682 | − | 0.402807i | ||||
\(845\) | 734.208 | − | 1324.64i | 0.868885 | − | 1.56762i | ||||
\(846\) | −362.664 | − | 170.662i | −0.428681 | − | 0.201729i | ||||
\(847\) | 174.561 | − | 211.422i | 0.206094 | − | 0.249613i | ||||
\(848\) | 140.554 | + | 140.554i | 0.165747 | + | 0.165747i | ||||
\(849\) | 5.14936 | + | 122.879i | 0.00606520 | + | 0.144733i | ||||
\(850\) | 488.352 | + | 781.420i | 0.574532 | + | 0.919318i | ||||
\(851\) | −201.298 | + | 116.220i | −0.236543 | + | 0.136568i | ||||
\(852\) | 382.441 | + | 351.677i | 0.448874 | + | 0.412766i | ||||
\(853\) | 57.6962 | + | 57.6962i | 0.0676391 | + | 0.0676391i | 0.740117 | − | 0.672478i | \(-0.234770\pi\) |
−0.672478 | + | 0.740117i | \(0.734770\pi\) | |||||||
\(854\) | −270.422 | + | 592.155i | −0.316653 | + | 0.693391i | ||||
\(855\) | −18.4673 | + | 41.0935i | −0.0215991 | + | 0.0480626i | ||||
\(856\) | 137.462 | − | 238.091i | 0.160586 | − | 0.278143i | ||||
\(857\) | 143.580 | − | 535.847i | 0.167538 | − | 0.625259i | −0.830165 | − | 0.557517i | \(-0.811754\pi\) |
0.997703 | − | 0.0677415i | \(-0.0215793\pi\) | |||||||
\(858\) | 249.314 | + | 795.579i | 0.290576 | + | 0.927248i | ||||
\(859\) | 320.604 | − | 555.303i | 0.373230 | − | 0.646453i | −0.616831 | − | 0.787096i | \(-0.711584\pi\) |
0.990060 | + | 0.140643i | \(0.0449169\pi\) | |||||||
\(860\) | 236.082 | − | 244.485i | 0.274514 | − | 0.284285i | ||||
\(861\) | −383.108 | + | 52.8520i | −0.444957 | + | 0.0613845i | ||||
\(862\) | 118.651 | + | 118.651i | 0.137646 | + | 0.137646i | ||||
\(863\) | 176.437 | − | 47.2761i | 0.204446 | − | 0.0547811i | −0.155143 | − | 0.987892i | \(-0.549584\pi\) |
0.359589 | + | 0.933111i | \(0.382917\pi\) | |||||||
\(864\) | 121.660 | − | 92.3412i | 0.140810 | − | 0.106876i | ||||
\(865\) | −134.261 | + | 538.564i | −0.155215 | + | 0.622617i | ||||
\(866\) | −26.5938 | + | 46.0617i | −0.0307087 | + | 0.0531891i | ||||
\(867\) | 1142.65 | + | 255.421i | 1.31794 | + | 0.294603i | ||||
\(868\) | 304.231 | − | 368.473i | 0.350497 | − | 0.424508i | ||||
\(869\) | 724.058 | 0.833208 | ||||||||
\(870\) | 10.9406 | + | 184.075i | 0.0125754 | + | 0.211581i | ||||
\(871\) | 255.635 | − | 147.591i | 0.293496 | − | 0.169450i | ||||
\(872\) | 568.439 | + | 152.313i | 0.651880 | + | 0.174671i | ||||
\(873\) | −12.2017 | + | 67.8092i | −0.0139767 | + | 0.0776738i | ||||
\(874\) | −18.7419 | −0.0214438 | ||||||||
\(875\) | −99.6541 | + | 869.307i | −0.113890 | + | 0.993493i | ||||
\(876\) | 334.519 | + | 527.126i | 0.381872 | + | 0.601742i | ||||
\(877\) | 994.580 | − | 266.497i | 1.13407 | − | 0.303873i | 0.357506 | − | 0.933911i | \(-0.383627\pi\) |
0.776565 | + | 0.630038i | \(0.216961\pi\) | |||||||
\(878\) | −355.816 | − | 95.3405i | −0.405257 | − | 0.108588i | ||||
\(879\) | −723.374 | + | 1383.67i | −0.822951 | + | 1.57414i | ||||
\(880\) | −87.7081 | + | 158.241i | −0.0996683 | + | 0.179819i | ||||
\(881\) | 609.210 | 0.691499 | 0.345749 | − | 0.938327i | \(-0.387625\pi\) | ||||
0.345749 | + | 0.938327i | \(0.387625\pi\) | |||||||
\(882\) | −318.498 | − | 536.210i | −0.361108 | − | 0.607948i | ||||
\(883\) | 223.845 | − | 223.845i | 0.253505 | − | 0.253505i | −0.568901 | − | 0.822406i | \(-0.692631\pi\) |
0.822406 | + | 0.568901i | \(0.192631\pi\) | |||||||
\(884\) | 566.176 | − | 980.646i | 0.640471 | − | 1.10933i | ||||
\(885\) | −1293.74 | + | 430.404i | −1.46185 | + | 0.486333i | ||||
\(886\) | 171.773 | + | 297.520i | 0.193875 | + | 0.335801i | ||||
\(887\) | −644.844 | + | 172.785i | −0.726994 | + | 0.194798i | −0.603290 | − | 0.797522i | \(-0.706144\pi\) |
−0.123704 | + | 0.992319i | \(0.539477\pi\) | |||||||
\(888\) | 145.410 | + | 32.5040i | 0.163750 | + | 0.0366036i | ||||
\(889\) | 105.265 | + | 147.822i | 0.118409 | + | 0.166279i | ||||
\(890\) | −352.780 | + | 365.337i | −0.396382 | + | 0.410491i | ||||
\(891\) | −122.179 | − | 722.478i | −0.137126 | − | 0.810862i | ||||
\(892\) | 586.854 | + | 157.247i | 0.657908 | + | 0.176286i | ||||
\(893\) | 8.15992 | − | 30.4532i | 0.00913765 | − | 0.0341022i | ||||
\(894\) | −481.105 | + | 20.1612i | −0.538149 | + | 0.0225517i | ||||
\(895\) | −17.0232 | − | 973.541i | −0.0190204 | − | 1.08776i | ||||
\(896\) | −78.8373 | + | 7.52878i | −0.0879880 | + | 0.00840266i | ||||
\(897\) | −841.885 | − | 188.189i | −0.938556 | − | 0.209798i | ||||
\(898\) | −18.5145 | − | 69.0971i | −0.0206175 | − | 0.0769455i | ||||
\(899\) | −256.943 | + | 148.346i | −0.285810 | + | 0.165013i | ||||
\(900\) | −446.832 | + | 53.3036i | −0.496480 | + | 0.0592263i | ||||
\(901\) | −1121.64 | − | 647.579i | −1.24488 | − | 0.718734i | ||||
\(902\) | 166.594 | + | 166.594i | 0.184694 | + | 0.184694i | ||||
\(903\) | 430.969 | − | 568.907i | 0.477263 | − | 0.630019i | ||||
\(904\) | − | 145.851i | − | 0.161339i | ||||||
\(905\) | −613.031 | + | 1106.02i | −0.677382 | + | 1.22212i | ||||
\(906\) | −205.143 | + | 392.396i | −0.226427 | + | 0.433108i | ||||
\(907\) | 287.239 | − | 1071.99i | 0.316691 | − | 1.18191i | −0.605714 | − | 0.795683i | \(-0.707112\pi\) |
0.922405 | − | 0.386224i | \(-0.126221\pi\) | |||||||
\(908\) | 62.0765 | + | 231.673i | 0.0683662 | + | 0.255146i | ||||
\(909\) | 1266.64 | + | 596.055i | 1.39344 | + | 0.655726i | ||||
\(910\) | 1000.73 | − | 393.326i | 1.09970 | − | 0.432227i | ||||
\(911\) | 69.0532i | 0.0757994i | 0.999282 | + | 0.0378997i | \(0.0120667\pi\) | ||||
−0.999282 | + | 0.0378997i | \(0.987933\pi\) | |||||||
\(912\) | 8.84340 | + | 8.13202i | 0.00969671 | + | 0.00891669i | ||||
\(913\) | −38.6932 | + | 144.405i | −0.0423803 | + | 0.158166i | ||||
\(914\) | 91.2930 | + | 158.124i | 0.0998829 | + | 0.173002i | ||||
\(915\) | 737.633 | + | 654.869i | 0.806156 | + | 0.715704i | ||||
\(916\) | − | 15.4958i | − | 0.0169168i | ||||||
\(917\) | −733.286 | + | 888.127i | −0.799658 | + | 0.968514i | ||||
\(918\) | −609.972 | + | 786.340i | −0.664458 | + | 0.856580i | ||||
\(919\) | 326.092 | + | 188.269i | 0.354833 | + | 0.204863i | 0.666812 | − | 0.745226i | \(-0.267658\pi\) |
−0.311979 | + | 0.950089i | \(0.600992\pi\) | |||||||
\(920\) | −96.4206 | − | 160.460i | −0.104805 | − | 0.174413i | ||||
\(921\) | −99.9297 | + | 191.145i | −0.108501 | + | 0.207541i | ||||
\(922\) | −117.433 | − | 438.266i | −0.127368 | − | 0.475343i | ||||
\(923\) | −1330.12 | + | 1330.12i | −1.44108 | + | 1.44108i | ||||
\(924\) | −143.220 | + | 351.910i | −0.155000 | + | 0.380855i | ||||
\(925\) | −321.077 | − | 299.372i | −0.347110 | − | 0.323645i | ||||
\(926\) | −82.6103 | − | 47.6951i | −0.0892120 | − | 0.0515066i | ||||
\(927\) | −347.729 | + | 411.471i | −0.375112 | + | 0.443873i | ||||
\(928\) | 47.4978 | + | 12.7270i | 0.0511829 | + | 0.0137144i | ||||
\(929\) | 674.041 | + | 389.158i | 0.725555 | + | 0.418899i | 0.816794 | − | 0.576930i | \(-0.195749\pi\) |
−0.0912387 | + | 0.995829i | \(0.529083\pi\) | |||||||
\(930\) | −398.581 | − | 604.448i | −0.428582 | − | 0.649944i | ||||
\(931\) | 37.0742 | − | 32.1262i | 0.0398220 | − | 0.0345072i | ||||
\(932\) | 135.437 | − | 135.437i | 0.145319 | − | 0.145319i | ||||
\(933\) | 218.131 | + | 200.584i | 0.233795 | + | 0.214988i | ||||
\(934\) | −132.321 | − | 229.187i | −0.141671 | − | 0.245382i | ||||
\(935\) | 285.154 | − | 1143.84i | 0.304978 | − | 1.22336i | ||||
\(936\) | 315.590 | + | 454.087i | 0.337169 | + | 0.485136i | ||||
\(937\) | −311.705 | + | 311.705i | −0.332662 | + | 0.332662i | −0.853597 | − | 0.520934i | \(-0.825584\pi\) |
0.520934 | + | 0.853597i | \(0.325584\pi\) | |||||||
\(938\) | 132.655 | + | 22.3057i | 0.141423 | + | 0.0237801i | ||||
\(939\) | 964.440 | − | 612.043i | 1.02709 | − | 0.651804i | ||||
\(940\) | 302.707 | − | 86.8099i | 0.322028 | − | 0.0923509i | ||||
\(941\) | 890.663 | + | 1542.67i | 0.946507 | + | 1.63940i | 0.752705 | + | 0.658358i | \(0.228749\pi\) |
0.193803 | + | 0.981041i | \(0.437918\pi\) | |||||||
\(942\) | −255.013 | − | 813.766i | −0.270714 | − | 0.863870i | ||||
\(943\) | −235.469 | + | 63.0936i | −0.249702 | + | 0.0669074i | ||||
\(944\) | 363.587i | 0.385156i | ||||||||
\(945\) | −918.287 | + | 223.103i | −0.971732 | + | 0.236088i | ||||
\(946\) | −434.794 | −0.459613 | ||||||||
\(947\) | −353.385 | − | 1318.85i | −0.373163 | − | 1.39266i | −0.856010 | − | 0.516959i | \(-0.827064\pi\) |
0.482847 | − | 0.875705i | \(-0.339603\pi\) | |||||||
\(948\) | 458.269 | − | 143.610i | 0.483406 | − | 0.151487i | ||||
\(949\) | −1957.52 | + | 1130.18i | −2.06272 | + | 1.19091i | ||||
\(950\) | −10.3510 | − | 33.8492i | −0.0108958 | − | 0.0356307i | ||||
\(951\) | −325.706 | − | 513.237i | −0.342487 | − | 0.539681i | ||||
\(952\) | 483.486 | − | 180.336i | 0.507863 | − | 0.189429i | ||||
\(953\) | 538.536 | + | 538.536i | 0.565095 | + | 0.565095i | 0.930750 | − | 0.365655i | \(-0.119155\pi\) |
−0.365655 | + | 0.930750i | \(0.619155\pi\) | |||||||
\(954\) | 519.374 | − | 360.965i | 0.544418 | − | 0.378370i | ||||
\(955\) | −102.582 | − | 170.714i | −0.107416 | − | 0.178758i | ||||
\(956\) | −38.1449 | + | 22.0230i | −0.0399005 | + | 0.0230366i | ||||
\(957\) | 159.680 | − | 173.648i | 0.166855 | − | 0.181451i | ||||
\(958\) | 10.4875 | + | 10.4875i | 0.0109473 | + | 0.0109473i | ||||
\(959\) | −1483.55 | − | 677.498i | −1.54698 | − | 0.706463i | ||||
\(960\) | −24.1265 | + | 117.550i | −0.0251317 | + | 0.122448i | ||||
\(961\) | 101.972 | − | 176.621i | 0.106110 | − | 0.183788i | ||||
\(962\) | −139.622 | + | 521.076i | −0.145137 | + | 0.541659i | ||||
\(963\) | −668.162 | − | 564.655i | −0.693834 | − | 0.586350i | ||||
\(964\) | −283.107 | + | 490.355i | −0.293679 | + | 0.508667i | ||||
\(965\) | 5.81046 | + | 5.61075i | 0.00602120 | + | 0.00581425i | ||||
\(966\) | −241.244 | − | 310.397i | −0.249735 | − | 0.321322i | ||||
\(967\) | 523.337 | + | 523.337i | 0.541197 | + | 0.541197i | 0.923880 | − | 0.382683i | \(-0.125000\pi\) |
−0.382683 | + | 0.923880i | \(0.625000\pi\) | |||||||
\(968\) | −107.008 | + | 28.6727i | −0.110545 | + | 0.0296205i | ||||
\(969\) | −69.3720 | − | 36.2674i | −0.0715914 | − | 0.0374276i | ||||
\(970\) | −27.8813 | − | 46.3990i | −0.0287436 | − | 0.0478340i | ||||
\(971\) | 6.60039 | − | 11.4322i | 0.00679752 | − | 0.0117736i | −0.862607 | − | 0.505875i | \(-0.831170\pi\) |
0.869404 | + | 0.494102i | \(0.164503\pi\) | |||||||
\(972\) | −220.626 | − | 433.036i | −0.226981 | − | 0.445510i | ||||
\(973\) | 1755.95 | + | 295.261i | 1.80468 | + | 0.303455i | ||||
\(974\) | −938.842 | −0.963903 | ||||||||
\(975\) | −125.084 | − | 1624.44i | −0.128291 | − | 1.66609i | ||||
\(976\) | 227.796 | − | 131.518i | 0.233397 | − | 0.134752i | ||||
\(977\) | 360.837 | + | 96.6859i | 0.369331 | + | 0.0989620i | 0.438711 | − | 0.898628i | \(-0.355435\pi\) |
−0.0693795 | + | 0.997590i | \(0.522102\pi\) | |||||||
\(978\) | 321.831 | − | 349.984i | 0.329070 | − | 0.357857i | ||||
\(979\) | 649.716 | 0.663653 | ||||||||
\(980\) | 465.784 | + | 152.135i | 0.475290 | + | 0.155239i | ||||
\(981\) | 797.323 | − | 1694.34i | 0.812765 | − | 1.72716i | ||||
\(982\) | −193.897 | + | 51.9546i | −0.197451 | + | 0.0529069i | ||||
\(983\) | −340.004 | − | 91.1039i | −0.345885 | − | 0.0926795i | 0.0816946 | − | 0.996657i | \(-0.473967\pi\) |
−0.427579 | + | 0.903978i | \(0.640633\pi\) | |||||||
\(984\) | 138.482 | + | 72.3979i | 0.140734 | + | 0.0735751i | ||||
\(985\) | 418.929 | − | 120.140i | 0.425309 | − | 0.121969i | ||||
\(986\) | −320.402 | −0.324951 | ||||||||
\(987\) | 609.390 | − | 256.849i | 0.617417 | − | 0.260232i | ||||
\(988\) | −30.7572 | + | 30.7572i | −0.0311307 | + | 0.0311307i | ||||
\(989\) | 224.941 | − | 389.610i | 0.227443 | − | 0.393943i | ||||
\(990\) | 446.136 | + | 363.846i | 0.450642 | + | 0.367521i | ||||
\(991\) | −254.222 | − | 440.325i | −0.256531 | − | 0.444324i | 0.708780 | − | 0.705430i | \(-0.249246\pi\) |
−0.965310 | + | 0.261106i | \(0.915913\pi\) | |||||||
\(992\) | −186.497 | + | 49.9717i | −0.188001 | + | 0.0503747i | ||||
\(993\) | 340.869 | − | 1524.92i | 0.343272 | − | 1.53567i | ||||
\(994\) | −853.340 | + | 81.4920i | −0.858490 | + | 0.0819839i | ||||
\(995\) | −16.7481 | − | 957.807i | −0.0168323 | − | 0.962620i | ||||
\(996\) | 4.15167 | + | 99.0710i | 0.00416834 | + | 0.0994688i | ||||
\(997\) | −895.222 | − | 239.874i | −0.897916 | − | 0.240596i | −0.219795 | − | 0.975546i | \(-0.570539\pi\) |
−0.678121 | + | 0.734950i | \(0.737205\pi\) | |||||||
\(998\) | −97.6181 | + | 364.316i | −0.0978138 | + | 0.365046i | ||||
\(999\) | 183.734 | − | 437.062i | 0.183918 | − | 0.437499i |
(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 | 210.3.w.b.47.2 | yes | 64 | |
3.2 | odd | 2 | 210.3.w.a.47.13 | yes | 64 | ||
5.3 | odd | 4 | 210.3.w.a.173.7 | yes | 64 | ||
7.3 | odd | 6 | inner | 210.3.w.b.17.4 | yes | 64 | |
15.8 | even | 4 | inner | 210.3.w.b.173.4 | yes | 64 | |
21.17 | even | 6 | 210.3.w.a.17.7 | ✓ | 64 | ||
35.3 | even | 12 | 210.3.w.a.143.13 | yes | 64 | ||
105.38 | odd | 12 | inner | 210.3.w.b.143.2 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.7 | ✓ | 64 | 21.17 | even | 6 | ||
210.3.w.a.47.13 | yes | 64 | 3.2 | odd | 2 | ||
210.3.w.a.143.13 | yes | 64 | 35.3 | even | 12 | ||
210.3.w.a.173.7 | yes | 64 | 5.3 | odd | 4 | ||
210.3.w.b.17.4 | yes | 64 | 7.3 | odd | 6 | inner | |
210.3.w.b.47.2 | yes | 64 | 1.1 | even | 1 | trivial | |
210.3.w.b.143.2 | yes | 64 | 105.38 | odd | 12 | inner | |
210.3.w.b.173.4 | yes | 64 | 15.8 | even | 4 | inner |