Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(155,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.155");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.br (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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(72\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 155.16 | ||
Character | \(\chi\) | \(=\) | 504.155 |
Dual form | 504.2.br.a.491.16 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.06211 | + | 0.933765i | −0.751027 | + | 0.660271i | ||||
\(3\) | 1.61727 | − | 0.620022i | 0.933733 | − | 0.357970i | ||||
\(4\) | 0.256166 | − | 1.98353i | 0.128083 | − | 0.991763i | ||||
\(5\) | 1.88595 | + | 3.26656i | 0.843422 | + | 1.46085i | 0.886985 | + | 0.461798i | \(0.152796\pi\) |
−0.0435632 | + | 0.999051i | \(0.513871\pi\) | |||||||
\(6\) | −1.13877 | + | 2.16869i | −0.464901 | + | 0.885362i | ||||
\(7\) | 0.866025 | + | 0.500000i | 0.327327 | + | 0.188982i | ||||
\(8\) | 1.58007 | + | 2.34593i | 0.558639 | + | 0.829411i | ||||
\(9\) | 2.23114 | − | 2.00549i | 0.743715 | − | 0.668497i | ||||
\(10\) | −5.05329 | − | 1.70842i | −1.59799 | − | 0.540250i | ||||
\(11\) | 2.42860 | + | 1.40215i | 0.732249 | + | 0.422764i | 0.819244 | − | 0.573444i | \(-0.194393\pi\) |
−0.0869953 | + | 0.996209i | \(0.527727\pi\) | |||||||
\(12\) | −0.815540 | − | 3.36673i | −0.235426 | − | 0.971892i | ||||
\(13\) | −0.853096 | + | 0.492535i | −0.236606 | + | 0.136605i | −0.613616 | − | 0.789605i | \(-0.710286\pi\) |
0.377010 | + | 0.926209i | \(0.376952\pi\) | |||||||
\(14\) | −1.38670 | + | 0.277608i | −0.370611 | + | 0.0741938i | ||||
\(15\) | 5.07543 | + | 4.11359i | 1.31047 | + | 1.06212i | ||||
\(16\) | −3.86876 | − | 1.01623i | −0.967189 | − | 0.254056i | ||||
\(17\) | − | 1.53304i | − | 0.371817i | −0.982567 | − | 0.185909i | \(-0.940477\pi\) | ||
0.982567 | − | 0.185909i | \(-0.0595228\pi\) | |||||||
\(18\) | −0.497071 | + | 4.21342i | −0.117161 | + | 0.993113i | ||||
\(19\) | −6.57757 | −1.50900 | −0.754499 | − | 0.656301i | \(-0.772120\pi\) | ||||
−0.754499 | + | 0.656301i | \(0.772120\pi\) | |||||||
\(20\) | 6.96242 | − | 2.90405i | 1.55684 | − | 0.649365i | ||||
\(21\) | 1.71061 | + | 0.271682i | 0.373286 | + | 0.0592858i | ||||
\(22\) | −3.88872 | + | 0.778496i | −0.829078 | + | 0.165976i | ||||
\(23\) | −2.63634 | − | 4.56627i | −0.549714 | − | 0.952133i | −0.998294 | − | 0.0583899i | \(-0.981403\pi\) |
0.448580 | − | 0.893743i | \(-0.351930\pi\) | |||||||
\(24\) | 4.00993 | + | 2.81433i | 0.818524 | + | 0.574472i | ||||
\(25\) | −4.61360 | + | 7.99099i | −0.922720 | + | 1.59820i | ||||
\(26\) | 0.446172 | − | 1.31972i | 0.0875015 | − | 0.258818i | ||||
\(27\) | 2.36492 | − | 4.62679i | 0.455130 | − | 0.890425i | ||||
\(28\) | 1.21361 | − | 1.58970i | 0.229351 | − | 0.300425i | ||||
\(29\) | −2.72838 | + | 4.72570i | −0.506648 | + | 0.877540i | 0.493322 | + | 0.869847i | \(0.335782\pi\) |
−0.999970 | + | 0.00769350i | \(0.997551\pi\) | |||||||
\(30\) | −9.23180 | + | 0.370167i | −1.68549 | + | 0.0675830i | ||||
\(31\) | 7.27190 | − | 4.19843i | 1.30607 | − | 0.754061i | 0.324634 | − | 0.945840i | \(-0.394759\pi\) |
0.981438 | + | 0.191779i | \(0.0614256\pi\) | |||||||
\(32\) | 5.05797 | − | 2.53316i | 0.894132 | − | 0.447804i | ||||
\(33\) | 4.79707 | + | 0.761877i | 0.835062 | + | 0.132626i | ||||
\(34\) | 1.43150 | + | 1.62826i | 0.245500 | + | 0.279245i | ||||
\(35\) | 3.77190i | 0.637567i | ||||||||
\(36\) | −3.40640 | − | 4.93928i | −0.567733 | − | 0.823213i | ||||
\(37\) | 6.35752i | 1.04517i | 0.852587 | + | 0.522585i | \(0.175032\pi\) | ||||
−0.852587 | + | 0.522585i | \(0.824968\pi\) | |||||||
\(38\) | 6.98612 | − | 6.14190i | 1.13330 | − | 0.996348i | ||||
\(39\) | −1.07431 | + | 1.32550i | −0.172027 | + | 0.212250i | ||||
\(40\) | −4.68318 | + | 9.58569i | −0.740476 | + | 1.51563i | ||||
\(41\) | 4.11031 | − | 2.37309i | 0.641922 | − | 0.370614i | −0.143433 | − | 0.989660i | \(-0.545814\pi\) |
0.785354 | + | 0.619046i | \(0.212481\pi\) | |||||||
\(42\) | −2.07055 | + | 1.30875i | −0.319492 | + | 0.201945i | ||||
\(43\) | 4.91459 | − | 8.51232i | 0.749468 | − | 1.29812i | −0.198610 | − | 0.980079i | \(-0.563643\pi\) |
0.948078 | − | 0.318038i | \(-0.103024\pi\) | |||||||
\(44\) | 3.40333 | − | 4.45800i | 0.513071 | − | 0.672069i | ||||
\(45\) | 10.7589 | + | 3.50591i | 1.60384 | + | 0.522631i | ||||
\(46\) | 7.06391 | + | 2.38817i | 1.04152 | + | 0.352117i | ||||
\(47\) | −4.07519 | + | 7.05844i | −0.594428 | + | 1.02958i | 0.399199 | + | 0.916864i | \(0.369288\pi\) |
−0.993627 | + | 0.112715i | \(0.964045\pi\) | |||||||
\(48\) | −6.88692 | + | 0.755201i | −0.994041 | + | 0.109004i | ||||
\(49\) | 0.500000 | + | 0.866025i | 0.0714286 | + | 0.123718i | ||||
\(50\) | −2.56154 | − | 12.7954i | −0.362257 | − | 1.80954i | ||||
\(51\) | −0.950520 | − | 2.47935i | −0.133099 | − | 0.347178i | ||||
\(52\) | 0.758422 | + | 1.81831i | 0.105174 | + | 0.252154i | ||||
\(53\) | −0.00523494 | −0.000719075 | −0.000359537 | − | 1.00000i | \(-0.500114\pi\) | ||||
−0.000359537 | 1.00000i | \(0.500114\pi\) | ||||||||
\(54\) | 1.80852 | + | 7.12245i | 0.246108 | + | 0.969242i | ||||
\(55\) | 10.5775i | 1.42627i | ||||||||
\(56\) | 0.195417 | + | 2.82167i | 0.0261137 | + | 0.377061i | ||||
\(57\) | −10.6377 | + | 4.07824i | −1.40900 | + | 0.540176i | ||||
\(58\) | −1.51484 | − | 7.56689i | −0.198908 | − | 0.993581i | ||||
\(59\) | 6.93375 | − | 4.00320i | 0.902697 | − | 0.521173i | 0.0246230 | − | 0.999697i | \(-0.492161\pi\) |
0.878074 | + | 0.478524i | \(0.158828\pi\) | |||||||
\(60\) | 9.45956 | − | 9.01349i | 1.22122 | − | 1.16364i | ||||
\(61\) | −7.06965 | − | 4.08166i | −0.905176 | − | 0.522604i | −0.0263001 | − | 0.999654i | \(-0.508373\pi\) |
−0.878876 | + | 0.477051i | \(0.841706\pi\) | |||||||
\(62\) | −3.80323 | + | 11.2495i | −0.483010 | + | 1.42868i | ||||
\(63\) | 2.93497 | − | 0.621233i | 0.369772 | − | 0.0782680i | ||||
\(64\) | −3.00676 | + | 7.41346i | −0.375845 | + | 0.926683i | ||||
\(65\) | −3.21779 | − | 1.85779i | −0.399118 | − | 0.230431i | ||||
\(66\) | −5.80644 | + | 3.67013i | −0.714723 | + | 0.451762i | ||||
\(67\) | 3.33500 | + | 5.77638i | 0.407435 | + | 0.705697i | 0.994601 | − | 0.103769i | \(-0.0330901\pi\) |
−0.587167 | + | 0.809466i | \(0.699757\pi\) | |||||||
\(68\) | −3.04083 | − | 0.392714i | −0.368755 | − | 0.0476235i | ||||
\(69\) | −7.09486 | − | 5.75032i | −0.854121 | − | 0.692257i | ||||
\(70\) | −3.52206 | − | 4.00618i | −0.420967 | − | 0.478830i | ||||
\(71\) | −0.840883 | −0.0997945 | −0.0498972 | − | 0.998754i | \(-0.515889\pi\) | ||||
−0.0498972 | + | 0.998754i | \(0.515889\pi\) | |||||||
\(72\) | 8.23010 | + | 2.06529i | 0.969927 | + | 0.243397i | ||||
\(73\) | −13.9167 | −1.62883 | −0.814416 | − | 0.580282i | \(-0.802943\pi\) | ||||
−0.814416 | + | 0.580282i | \(0.802943\pi\) | |||||||
\(74\) | −5.93643 | − | 6.75240i | −0.690096 | − | 0.784951i | ||||
\(75\) | −2.50686 | + | 15.7841i | −0.289467 | + | 1.82260i | ||||
\(76\) | −1.68495 | + | 13.0468i | −0.193277 | + | 1.49657i | ||||
\(77\) | 1.40215 | + | 2.42860i | 0.159790 | + | 0.276764i | ||||
\(78\) | −0.0966731 | − | 2.41098i | −0.0109461 | − | 0.272990i | ||||
\(79\) | −11.7620 | − | 6.79080i | −1.32333 | − | 0.764025i | −0.339072 | − | 0.940760i | \(-0.610113\pi\) |
−0.984258 | + | 0.176735i | \(0.943446\pi\) | |||||||
\(80\) | −3.97672 | − | 14.5541i | −0.444610 | − | 1.62719i | ||||
\(81\) | 0.956016 | − | 8.94908i | 0.106224 | − | 0.994342i | ||||
\(82\) | −2.14970 | + | 6.35854i | −0.237395 | + | 0.702184i | ||||
\(83\) | 9.52050 | + | 5.49666i | 1.04501 | + | 0.603337i | 0.921248 | − | 0.388975i | \(-0.127171\pi\) |
0.123762 | + | 0.992312i | \(0.460504\pi\) | |||||||
\(84\) | 0.977089 | − | 3.32345i | 0.106609 | − | 0.362618i | ||||
\(85\) | 5.00777 | − | 2.89124i | 0.543169 | − | 0.313599i | ||||
\(86\) | 2.72866 | + | 13.6301i | 0.294239 | + | 1.46977i | ||||
\(87\) | −1.48250 | + | 9.33440i | −0.158941 | + | 1.00075i | ||||
\(88\) | 0.548008 | + | 7.91281i | 0.0584178 | + | 0.843508i | ||||
\(89\) | 0.335563i | 0.0355696i | 0.999842 | + | 0.0177848i | \(0.00566137\pi\) | ||||
−0.999842 | + | 0.0177848i | \(0.994339\pi\) | |||||||
\(90\) | −14.7008 | + | 6.32258i | −1.54960 | + | 0.666459i | ||||
\(91\) | −0.985070 | −0.103263 | ||||||||
\(92\) | −9.73266 | + | 4.05952i | −1.01470 | + | 0.423234i | ||||
\(93\) | 9.15753 | − | 11.2988i | 0.949591 | − | 1.17163i | ||||
\(94\) | −2.26261 | − | 11.3021i | −0.233370 | − | 1.16573i | ||||
\(95\) | −12.4050 | − | 21.4860i | −1.27272 | − | 2.20442i | ||||
\(96\) | 6.60950 | − | 7.23287i | 0.674580 | − | 0.738202i | ||||
\(97\) | 5.06556 | − | 8.77381i | 0.514330 | − | 0.890846i | −0.485532 | − | 0.874219i | \(-0.661374\pi\) |
0.999862 | − | 0.0166266i | \(-0.00529265\pi\) | |||||||
\(98\) | −1.33972 | − | 0.452934i | −0.135332 | − | 0.0457532i | ||||
\(99\) | 8.23055 | − | 1.74212i | 0.827201 | − | 0.175090i | ||||
\(100\) | 14.6685 | + | 11.1982i | 1.46685 | + | 1.11982i | ||||
\(101\) | 5.71100 | − | 9.89174i | 0.568265 | − | 0.984264i | −0.428472 | − | 0.903555i | \(-0.640948\pi\) |
0.996738 | − | 0.0807096i | \(-0.0257186\pi\) | |||||||
\(102\) | 3.32469 | + | 1.74578i | 0.329193 | + | 0.172858i | ||||
\(103\) | 7.53252 | − | 4.34890i | 0.742201 | − | 0.428510i | −0.0806681 | − | 0.996741i | \(-0.525705\pi\) |
0.822869 | + | 0.568231i | \(0.192372\pi\) | |||||||
\(104\) | −2.50340 | − | 1.22306i | −0.245479 | − | 0.119931i | ||||
\(105\) | 2.33866 | + | 6.10019i | 0.228230 | + | 0.595317i | ||||
\(106\) | 0.00556010 | − | 0.00488821i | 0.000540044 | − | 0.000474784i | ||||
\(107\) | 4.90915i | 0.474585i | 0.971438 | + | 0.237293i | \(0.0762600\pi\) | ||||
−0.971438 | + | 0.237293i | \(0.923740\pi\) | |||||||
\(108\) | −8.57154 | − | 5.87611i | −0.824797 | − | 0.565429i | ||||
\(109\) | 4.49181i | 0.430237i | 0.976588 | + | 0.215118i | \(0.0690138\pi\) | ||||
−0.976588 | + | 0.215118i | \(0.930986\pi\) | |||||||
\(110\) | −9.87693 | − | 11.2345i | −0.941728 | − | 1.07117i | ||||
\(111\) | 3.94180 | + | 10.2818i | 0.374139 | + | 0.975910i | ||||
\(112\) | −2.84233 | − | 2.81446i | −0.268575 | − | 0.265941i | ||||
\(113\) | −7.31585 | + | 4.22381i | −0.688217 | + | 0.397343i | −0.802944 | − | 0.596055i | \(-0.796734\pi\) |
0.114726 | + | 0.993397i | \(0.463401\pi\) | |||||||
\(114\) | 7.49035 | − | 14.2647i | 0.701535 | − | 1.33601i | ||||
\(115\) | 9.94399 | − | 17.2235i | 0.927281 | − | 1.60610i | ||||
\(116\) | 8.67463 | + | 6.62239i | 0.805419 | + | 0.614873i | ||||
\(117\) | −0.915606 | + | 2.80979i | −0.0846478 | + | 0.259765i | ||||
\(118\) | −3.62637 | + | 10.7263i | −0.333835 | + | 0.987440i | ||||
\(119\) | 0.766521 | − | 1.32765i | 0.0702668 | − | 0.121706i | ||||
\(120\) | −1.63064 | + | 18.4064i | −0.148856 | + | 1.68026i | ||||
\(121\) | −1.56795 | − | 2.71577i | −0.142541 | − | 0.246888i | ||||
\(122\) | 11.3201 | − | 2.26620i | 1.02487 | − | 0.205172i | ||||
\(123\) | 5.17612 | − | 6.38641i | 0.466715 | − | 0.575843i | ||||
\(124\) | −6.46489 | − | 15.4995i | −0.580564 | − | 1.39190i | ||||
\(125\) | −15.9446 | −1.42613 | ||||||||
\(126\) | −2.53719 | + | 3.40039i | −0.226031 | + | 0.302931i | ||||
\(127\) | − | 12.3907i | − | 1.09950i | −0.835331 | − | 0.549748i | \(-0.814724\pi\) | ||
0.835331 | − | 0.549748i | \(-0.185276\pi\) | |||||||
\(128\) | −3.72892 | − | 10.6815i | −0.329593 | − | 0.944123i | ||||
\(129\) | 2.67041 | − | 16.8139i | 0.235116 | − | 1.48038i | ||||
\(130\) | 5.15240 | − | 1.03147i | 0.451895 | − | 0.0904663i | ||||
\(131\) | 5.52709 | − | 3.19107i | 0.482904 | − | 0.278805i | −0.238722 | − | 0.971088i | \(-0.576728\pi\) |
0.721626 | + | 0.692283i | \(0.243395\pi\) | |||||||
\(132\) | 2.74005 | − | 9.31994i | 0.238491 | − | 0.811197i | ||||
\(133\) | −5.69634 | − | 3.28878i | −0.493935 | − | 0.285174i | ||||
\(134\) | −8.93592 | − | 3.02107i | −0.771946 | − | 0.260980i | ||||
\(135\) | 19.5738 | − | 1.00072i | 1.68464 | − | 0.0861284i | ||||
\(136\) | 3.59641 | − | 2.42231i | 0.308389 | − | 0.207712i | ||||
\(137\) | −4.63584 | − | 2.67650i | −0.396067 | − | 0.228669i | 0.288719 | − | 0.957414i | \(-0.406771\pi\) |
−0.684785 | + | 0.728745i | \(0.740104\pi\) | |||||||
\(138\) | 12.9050 | − | 0.517451i | 1.09855 | − | 0.0440483i | ||||
\(139\) | −9.41646 | − | 16.3098i | −0.798694 | − | 1.38338i | −0.920467 | − | 0.390821i | \(-0.872191\pi\) |
0.121773 | − | 0.992558i | \(-0.461142\pi\) | |||||||
\(140\) | 7.48166 | + | 0.966233i | 0.632315 | + | 0.0816616i | ||||
\(141\) | −2.21431 | + | 13.9421i | −0.186479 | + | 1.17414i | ||||
\(142\) | 0.893112 | − | 0.785187i | 0.0749483 | − | 0.0658914i | ||||
\(143\) | −2.76243 | −0.231006 | ||||||||
\(144\) | −10.6698 | + | 5.49141i | −0.889149 | + | 0.457617i | ||||
\(145\) | −20.5824 | −1.70927 | ||||||||
\(146\) | 14.7812 | − | 12.9950i | 1.22330 | − | 1.07547i | ||||
\(147\) | 1.34559 | + | 1.09059i | 0.110983 | + | 0.0899502i | ||||
\(148\) | 12.6103 | + | 1.62858i | 1.03656 | + | 0.133869i | ||||
\(149\) | −1.75436 | − | 3.03864i | −0.143723 | − | 0.248935i | 0.785173 | − | 0.619277i | \(-0.212574\pi\) |
−0.928896 | + | 0.370341i | \(0.879241\pi\) | |||||||
\(150\) | −12.0761 | − | 19.1054i | −0.986011 | − | 1.55995i | ||||
\(151\) | −7.16647 | − | 4.13757i | −0.583199 | − | 0.336710i | 0.179204 | − | 0.983812i | \(-0.442648\pi\) |
−0.762404 | + | 0.647102i | \(0.775981\pi\) | |||||||
\(152\) | −10.3930 | − | 15.4305i | −0.842985 | − | 1.25158i | ||||
\(153\) | −3.07450 | − | 3.42044i | −0.248559 | − | 0.276526i | ||||
\(154\) | −3.75698 | − | 1.27016i | −0.302746 | − | 0.102353i | ||||
\(155\) | 27.4289 | + | 15.8361i | 2.20314 | + | 1.27198i | ||||
\(156\) | 2.35397 | + | 2.47046i | 0.188468 | + | 0.197795i | ||||
\(157\) | −5.99184 | + | 3.45939i | −0.478201 | + | 0.276089i | −0.719666 | − | 0.694320i | \(-0.755705\pi\) |
0.241466 | + | 0.970409i | \(0.422372\pi\) | |||||||
\(158\) | 18.8336 | − | 3.77036i | 1.49832 | − | 0.299954i | ||||
\(159\) | −0.00846633 | + | 0.00324578i | −0.000671424 | + | 0.000257407i | ||||
\(160\) | 17.8138 | + | 11.7447i | 1.40830 | + | 0.928504i | ||||
\(161\) | − | 5.27267i | − | 0.415545i | ||||||
\(162\) | 7.34094 | + | 10.3976i | 0.576759 | + | 0.816915i | ||||
\(163\) | 15.1043 | 1.18306 | 0.591531 | − | 0.806282i | \(-0.298524\pi\) | ||||
0.591531 | + | 0.806282i | \(0.298524\pi\) | |||||||
\(164\) | −3.65416 | − | 8.76081i | −0.285342 | − | 0.684104i | ||||
\(165\) | 6.55830 | + | 17.1068i | 0.510563 | + | 1.33176i | ||||
\(166\) | −15.2444 | + | 3.05183i | −1.18320 | + | 0.236868i | ||||
\(167\) | 0.945482 | + | 1.63762i | 0.0731636 | + | 0.126723i | 0.900286 | − | 0.435298i | \(-0.143357\pi\) |
−0.827123 | + | 0.562021i | \(0.810024\pi\) | |||||||
\(168\) | 2.06554 | + | 4.44225i | 0.159360 | + | 0.342727i | ||||
\(169\) | −6.01482 | + | 10.4180i | −0.462678 | + | 0.801382i | ||||
\(170\) | −2.61908 | + | 7.74690i | −0.200874 | + | 0.594160i | ||||
\(171\) | −14.6755 | + | 13.1913i | −1.12226 | + | 1.00876i | ||||
\(172\) | −15.6255 | − | 11.9288i | −1.19143 | − | 0.909562i | ||||
\(173\) | −7.57215 | + | 13.1153i | −0.575700 | + | 0.997141i | 0.420266 | + | 0.907401i | \(0.361937\pi\) |
−0.995965 | + | 0.0897400i | \(0.971396\pi\) | |||||||
\(174\) | −7.14155 | − | 11.2985i | −0.541400 | − | 0.856537i | ||||
\(175\) | −7.99099 | + | 4.61360i | −0.604062 | + | 0.348755i | ||||
\(176\) | −7.97075 | − | 7.89258i | −0.600818 | − | 0.594926i | ||||
\(177\) | 8.73169 | − | 10.7734i | 0.656314 | − | 0.809775i | ||||
\(178\) | −0.313336 | − | 0.356405i | −0.0234856 | − | 0.0267137i | ||||
\(179\) | 13.1476i | 0.982696i | 0.870963 | + | 0.491348i | \(0.163496\pi\) | ||||
−0.870963 | + | 0.491348i | \(0.836504\pi\) | |||||||
\(180\) | 9.71014 | − | 20.4424i | 0.723751 | − | 1.52369i | ||||
\(181\) | − | 13.0831i | − | 0.972463i | −0.873830 | − | 0.486231i | \(-0.838371\pi\) | ||
0.873830 | − | 0.486231i | \(-0.161629\pi\) | |||||||
\(182\) | 1.04626 | − | 0.919824i | 0.0775536 | − | 0.0681819i | ||||
\(183\) | −13.9643 | − | 2.21783i | −1.03227 | − | 0.163946i | ||||
\(184\) | 6.54654 | − | 13.3997i | 0.482617 | − | 0.987837i | ||||
\(185\) | −20.7672 | + | 11.9900i | −1.52684 | + | 0.881519i | ||||
\(186\) | 0.824054 | + | 20.5515i | 0.0604226 | + | 1.50691i | ||||
\(187\) | 2.14955 | − | 3.72314i | 0.157191 | − | 0.272263i | ||||
\(188\) | 12.9567 | + | 9.89139i | 0.944963 | + | 0.721404i | ||||
\(189\) | 4.36148 | − | 2.82445i | 0.317251 | − | 0.205449i | ||||
\(190\) | 33.2383 | + | 11.2373i | 2.41136 | + | 0.815236i | ||||
\(191\) | −2.09273 | + | 3.62471i | −0.151425 | + | 0.262275i | −0.931751 | − | 0.363097i | \(-0.881719\pi\) |
0.780327 | + | 0.625372i | \(0.215053\pi\) | |||||||
\(192\) | −0.266236 | + | 13.8538i | −0.0192139 | + | 0.999815i | ||||
\(193\) | 4.22026 | + | 7.30970i | 0.303781 | + | 0.526164i | 0.976989 | − | 0.213289i | \(-0.0684177\pi\) |
−0.673208 | + | 0.739453i | \(0.735084\pi\) | |||||||
\(194\) | 2.81248 | + | 14.0488i | 0.201924 | + | 1.00865i | ||||
\(195\) | −6.35592 | − | 1.00946i | −0.455157 | − | 0.0722886i | ||||
\(196\) | 1.84587 | − | 0.769917i | 0.131848 | − | 0.0549941i | ||||
\(197\) | −12.8051 | −0.912329 | −0.456164 | − | 0.889896i | \(-0.650777\pi\) | ||||
−0.456164 | + | 0.889896i | \(0.650777\pi\) | |||||||
\(198\) | −7.11503 | + | 9.53573i | −0.505643 | + | 0.677675i | ||||
\(199\) | − | 10.0904i | − | 0.715291i | −0.933857 | − | 0.357646i | \(-0.883580\pi\) | ||
0.933857 | − | 0.357646i | \(-0.116420\pi\) | |||||||
\(200\) | −26.0361 | + | 1.80315i | −1.84103 | + | 0.127502i | ||||
\(201\) | 8.97508 | + | 7.27422i | 0.633054 | + | 0.513084i | ||||
\(202\) | 3.17083 | + | 15.8389i | 0.223099 | + | 1.11442i | ||||
\(203\) | −4.72570 | + | 2.72838i | −0.331679 | + | 0.191495i | ||||
\(204\) | −5.16134 | + | 1.25026i | −0.361366 | + | 0.0875354i | ||||
\(205\) | 15.5036 | + | 8.95103i | 1.08282 | + | 0.625167i | ||||
\(206\) | −3.93953 | + | 11.6526i | −0.274480 | + | 0.811877i | ||||
\(207\) | −15.0397 | − | 4.90086i | −1.04533 | − | 0.340633i | ||||
\(208\) | 3.80095 | − | 1.03856i | 0.263548 | − | 0.0720113i | ||||
\(209\) | −15.9743 | − | 9.22274i | −1.10496 | − | 0.637950i | ||||
\(210\) | −8.18006 | − | 4.29533i | −0.564478 | − | 0.296406i | ||||
\(211\) | 1.07014 | + | 1.85353i | 0.0736712 | + | 0.127602i | 0.900508 | − | 0.434840i | \(-0.143195\pi\) |
−0.826836 | + | 0.562442i | \(0.809862\pi\) | |||||||
\(212\) | −0.00134102 | + | 0.0103836i | −9.21014e−5 | + | 0.000713152i | ||||
\(213\) | −1.35994 | + | 0.521366i | −0.0931814 | + | 0.0357234i | ||||
\(214\) | −4.58399 | − | 5.21407i | −0.313355 | − | 0.356426i | ||||
\(215\) | 37.0747 | 2.52847 | ||||||||
\(216\) | 14.5908 | − | 1.76271i | 0.992781 | − | 0.119937i | ||||
\(217\) | 8.39687 | 0.570017 | ||||||||
\(218\) | −4.19429 | − | 4.77080i | −0.284073 | − | 0.323120i | ||||
\(219\) | −22.5072 | + | 8.62869i | −1.52089 | + | 0.583073i | ||||
\(220\) | 20.9808 | + | 2.70961i | 1.41453 | + | 0.182682i | ||||
\(221\) | 0.755077 | + | 1.30783i | 0.0507920 | + | 0.0879743i | ||||
\(222\) | −13.7875 | − | 7.23976i | −0.925354 | − | 0.485901i | ||||
\(223\) | −19.7757 | − | 11.4175i | −1.32428 | − | 0.764572i | −0.339870 | − | 0.940473i | \(-0.610383\pi\) |
−0.984408 | + | 0.175900i | \(0.943716\pi\) | |||||||
\(224\) | 5.64691 | + | 0.335202i | 0.377300 | + | 0.0223966i | ||||
\(225\) | 5.73224 | + | 27.0816i | 0.382150 | + | 1.80544i | ||||
\(226\) | 3.82621 | − | 11.3174i | 0.254516 | − | 0.752825i | ||||
\(227\) | −17.3371 | − | 10.0096i | −1.15071 | − | 0.664361i | −0.201648 | − | 0.979458i | \(-0.564630\pi\) |
−0.949059 | + | 0.315097i | \(0.897963\pi\) | |||||||
\(228\) | 5.36427 | + | 22.1449i | 0.355257 | + | 1.46658i | ||||
\(229\) | 23.1551 | − | 13.3686i | 1.53013 | − | 0.883423i | 0.530779 | − | 0.847510i | \(-0.321899\pi\) |
0.999355 | − | 0.0359130i | \(-0.0114339\pi\) | |||||||
\(230\) | 5.52106 | + | 27.5786i | 0.364048 | + | 1.81848i | ||||
\(231\) | 3.77344 | + | 3.05834i | 0.248274 | + | 0.201224i | ||||
\(232\) | −15.3972 | + | 1.06634i | −1.01087 | + | 0.0700089i | ||||
\(233\) | 22.1554i | 1.45145i | 0.687987 | + | 0.725723i | \(0.258495\pi\) | ||||
−0.687987 | + | 0.725723i | \(0.741505\pi\) | |||||||
\(234\) | −1.65121 | − | 3.83928i | −0.107943 | − | 0.250981i | ||||
\(235\) | −30.7424 | −2.00541 | ||||||||
\(236\) | −6.16427 | − | 14.7788i | −0.401260 | − | 0.962016i | ||||
\(237\) | −23.2328 | − | 3.68987i | −1.50914 | − | 0.239683i | ||||
\(238\) | 0.425584 | + | 2.12587i | 0.0275865 | + | 0.137799i | ||||
\(239\) | 7.90282 | + | 13.6881i | 0.511191 | + | 0.885408i | 0.999916 | + | 0.0129706i | \(0.00412877\pi\) |
−0.488725 | + | 0.872438i | \(0.662538\pi\) | |||||||
\(240\) | −15.4553 | − | 21.0723i | −0.997634 | − | 1.36021i | ||||
\(241\) | −4.90907 | + | 8.50276i | −0.316221 | + | 0.547711i | −0.979696 | − | 0.200487i | \(-0.935747\pi\) |
0.663475 | + | 0.748198i | \(0.269081\pi\) | |||||||
\(242\) | 4.20123 | + | 1.42035i | 0.270065 | + | 0.0913039i | ||||
\(243\) | −4.00249 | − | 15.0659i | −0.256760 | − | 0.966475i | ||||
\(244\) | −9.90710 | + | 12.9773i | −0.634237 | + | 0.830784i | ||||
\(245\) | −1.88595 | + | 3.26656i | −0.120489 | + | 0.208693i | ||||
\(246\) | 0.465781 | + | 11.6164i | 0.0296971 | + | 0.740632i | ||||
\(247\) | 5.61130 | − | 3.23968i | 0.357038 | − | 0.206136i | ||||
\(248\) | 21.3393 | + | 10.4255i | 1.35505 | + | 0.662022i | ||||
\(249\) | 18.8053 | + | 2.98668i | 1.19174 | + | 0.189273i | ||||
\(250\) | 16.9349 | − | 14.8885i | 1.07106 | − | 0.941630i | ||||
\(251\) | − | 2.29373i | − | 0.144779i | −0.997376 | − | 0.0723894i | \(-0.976938\pi\) | ||
0.997376 | − | 0.0723894i | \(-0.0230624\pi\) | |||||||
\(252\) | −0.480391 | − | 5.98074i | −0.0302618 | − | 0.376751i | ||||
\(253\) | − | 14.7862i | − | 0.929598i | ||||||
\(254\) | 11.5700 | + | 13.1603i | 0.725966 | + | 0.825751i | ||||
\(255\) | 6.30630 | − | 7.78085i | 0.394916 | − | 0.487256i | ||||
\(256\) | 13.9346 | + | 7.86306i | 0.870911 | + | 0.491441i | ||||
\(257\) | 14.2418 | − | 8.22253i | 0.888382 | − | 0.512907i | 0.0149690 | − | 0.999888i | \(-0.495235\pi\) |
0.873413 | + | 0.486980i | \(0.161902\pi\) | |||||||
\(258\) | 12.8640 | + | 20.3518i | 0.800875 | + | 1.26705i | ||||
\(259\) | −3.17876 | + | 5.50577i | −0.197519 | + | 0.342112i | ||||
\(260\) | −4.50927 | + | 5.90667i | −0.279653 | + | 0.366316i | ||||
\(261\) | 3.38992 | + | 16.0155i | 0.209831 | + | 0.991332i | ||||
\(262\) | −2.89068 | + | 8.55027i | −0.178587 | + | 0.528238i | ||||
\(263\) | −0.0689161 | + | 0.119366i | −0.00424955 | + | 0.00736043i | −0.868142 | − | 0.496315i | \(-0.834686\pi\) |
0.863893 | + | 0.503676i | \(0.168019\pi\) | |||||||
\(264\) | 5.79239 | + | 12.4574i | 0.356497 | + | 0.766700i | ||||
\(265\) | −0.00987283 | − | 0.0171002i | −0.000606483 | − | 0.00105046i | ||||
\(266\) | 9.12111 | − | 1.82598i | 0.559251 | − | 0.111958i | ||||
\(267\) | 0.208056 | + | 0.542696i | 0.0127328 | + | 0.0332125i | ||||
\(268\) | 12.3119 | − | 5.13534i | 0.752070 | − | 0.313691i | ||||
\(269\) | −15.9079 | −0.969922 | −0.484961 | − | 0.874536i | \(-0.661166\pi\) | ||||
−0.484961 | + | 0.874536i | \(0.661166\pi\) | |||||||
\(270\) | −19.8551 | + | 19.3402i | −1.20834 | + | 1.17701i | ||||
\(271\) | 2.54719i | 0.154731i | 0.997003 | + | 0.0773654i | \(0.0246508\pi\) | ||||
−0.997003 | + | 0.0773654i | \(0.975349\pi\) | |||||||
\(272\) | −1.55792 | + | 5.93097i | −0.0944625 | + | 0.359618i | ||||
\(273\) | −1.59313 | + | 0.610766i | −0.0964205 | + | 0.0369652i | ||||
\(274\) | 7.42301 | − | 1.48604i | 0.448440 | − | 0.0897748i | ||||
\(275\) | −22.4091 | + | 12.9379i | −1.35132 | + | 0.780186i | ||||
\(276\) | −13.2234 | + | 12.5998i | −0.795953 | + | 0.758420i | ||||
\(277\) | 22.6437 | + | 13.0733i | 1.36053 | + | 0.785500i | 0.989694 | − | 0.143200i | \(-0.0457392\pi\) |
0.370832 | + | 0.928700i | \(0.379073\pi\) | |||||||
\(278\) | 25.2309 | + | 8.53007i | 1.51325 | + | 0.511600i | ||||
\(279\) | 7.80475 | − | 23.9510i | 0.467258 | − | 1.43391i | ||||
\(280\) | −8.84860 | + | 5.95986i | −0.528805 | + | 0.356170i | ||||
\(281\) | −16.9266 | − | 9.77257i | −1.00976 | − | 0.582982i | −0.0986352 | − | 0.995124i | \(-0.531448\pi\) |
−0.911120 | + | 0.412141i | \(0.864781\pi\) | |||||||
\(282\) | −10.6668 | − | 16.8758i | −0.635200 | − | 1.00494i | ||||
\(283\) | 8.56119 | + | 14.8284i | 0.508910 | + | 0.881458i | 0.999947 | + | 0.0103191i | \(0.00328473\pi\) |
−0.491037 | + | 0.871139i | \(0.663382\pi\) | |||||||
\(284\) | −0.215406 | + | 1.66791i | −0.0127820 | + | 0.0989725i | ||||
\(285\) | −33.3840 | − | 27.0574i | −1.97750 | − | 1.60274i | ||||
\(286\) | 2.93402 | − | 2.57946i | 0.173492 | − | 0.152527i | ||||
\(287\) | 4.74617 | 0.280158 | ||||||||
\(288\) | 6.20483 | − | 15.7956i | 0.365623 | − | 0.930763i | ||||
\(289\) | 14.6498 | 0.861752 | ||||||||
\(290\) | 21.8608 | − | 19.2191i | 1.28371 | − | 1.12858i | ||||
\(291\) | 2.75244 | − | 17.3304i | 0.161351 | − | 1.01593i | ||||
\(292\) | −3.56500 | + | 27.6042i | −0.208626 | + | 1.61542i | ||||
\(293\) | 4.03356 | + | 6.98634i | 0.235643 | + | 0.408146i | 0.959459 | − | 0.281847i | \(-0.0909470\pi\) |
−0.723816 | + | 0.689993i | \(0.757614\pi\) | |||||||
\(294\) | −2.44752 | + | 0.0981383i | −0.142742 | + | 0.00572354i | ||||
\(295\) | 26.1534 | + | 15.0997i | 1.52271 | + | 0.879136i | ||||
\(296\) | −14.9143 | + | 10.0453i | −0.866875 | + | 0.583873i | ||||
\(297\) | 12.2309 | − | 7.92061i | 0.709708 | − | 0.459601i | ||||
\(298\) | 4.70071 | + | 1.58922i | 0.272305 | + | 0.0920611i | ||||
\(299\) | 4.49810 | + | 2.59698i | 0.260132 | + | 0.150187i | ||||
\(300\) | 30.6661 | + | 9.01579i | 1.77051 | + | 0.520527i | ||||
\(301\) | 8.51232 | − | 4.91459i | 0.490642 | − | 0.283272i | ||||
\(302\) | 11.4751 | − | 2.29724i | 0.660319 | − | 0.132191i | ||||
\(303\) | 3.10315 | − | 19.5386i | 0.178271 | − | 1.12246i | ||||
\(304\) | 25.4470 | + | 6.68429i | 1.45949 | + | 0.383371i | ||||
\(305\) | − | 30.7912i | − | 1.76310i | ||||||
\(306\) | 6.45935 | + | 0.762030i | 0.369256 | + | 0.0435624i | ||||
\(307\) | 7.15256 | 0.408218 | 0.204109 | − | 0.978948i | \(-0.434570\pi\) | ||||
0.204109 | + | 0.978948i | \(0.434570\pi\) | |||||||
\(308\) | 5.17637 | − | 2.15908i | 0.294951 | − | 0.123025i | ||||
\(309\) | 9.48572 | − | 11.7037i | 0.539624 | − | 0.665800i | ||||
\(310\) | −43.9197 | + | 8.79243i | −2.49447 | + | 0.499376i | ||||
\(311\) | −0.436065 | − | 0.755286i | −0.0247270 | − | 0.0428284i | 0.853397 | − | 0.521261i | \(-0.174538\pi\) |
−0.878124 | + | 0.478433i | \(0.841205\pi\) | |||||||
\(312\) | −4.80701 | − | 0.425859i | −0.272144 | − | 0.0241095i | ||||
\(313\) | −12.2525 | + | 21.2220i | −0.692553 | + | 1.19954i | 0.278446 | + | 0.960452i | \(0.410181\pi\) |
−0.970999 | + | 0.239085i | \(0.923153\pi\) | |||||||
\(314\) | 3.13375 | − | 9.26923i | 0.176848 | − | 0.523093i | ||||
\(315\) | 7.56450 | + | 8.41565i | 0.426211 | + | 0.474168i | ||||
\(316\) | −16.4828 | + | 21.5907i | −0.927228 | + | 1.21457i | ||||
\(317\) | 1.11462 | − | 1.93059i | 0.0626036 | − | 0.108433i | −0.833025 | − | 0.553236i | \(-0.813393\pi\) |
0.895628 | + | 0.444803i | \(0.146726\pi\) | |||||||
\(318\) | 0.00596140 | − | 0.0113529i | 0.000334299 | − | 0.000636642i | ||||
\(319\) | −13.2523 | + | 7.65121i | −0.741985 | + | 0.428385i | ||||
\(320\) | −29.8871 | + | 4.15966i | −1.67074 | + | 0.232532i | ||||
\(321\) | 3.04378 | + | 7.93944i | 0.169887 | + | 0.443136i | ||||
\(322\) | 4.92344 | + | 5.60017i | 0.274372 | + | 0.312085i | ||||
\(323\) | 10.0837i | 0.561071i | ||||||||
\(324\) | −17.5058 | − | 4.18874i | −0.972547 | − | 0.232708i | ||||
\(325\) | − | 9.08944i | − | 0.504192i | ||||||
\(326\) | −16.0425 | + | 14.1039i | −0.888511 | + | 0.781142i | ||||
\(327\) | 2.78502 | + | 7.26448i | 0.154012 | + | 0.401726i | ||||
\(328\) | 12.0617 | + | 5.89284i | 0.665994 | + | 0.325378i | ||||
\(329\) | −7.05844 | + | 4.07519i | −0.389144 | + | 0.224673i | ||||
\(330\) | −22.9393 | − | 12.0454i | −1.26277 | − | 0.663077i | ||||
\(331\) | 0.554537 | − | 0.960486i | 0.0304801 | − | 0.0527931i | −0.850383 | − | 0.526164i | \(-0.823630\pi\) |
0.880863 | + | 0.473371i | \(0.156963\pi\) | |||||||
\(332\) | 13.3416 | − | 17.4761i | 0.732216 | − | 0.959126i | ||||
\(333\) | 12.7499 | + | 14.1845i | 0.698693 | + | 0.777308i | ||||
\(334\) | −2.53336 | − | 0.856482i | −0.138619 | − | 0.0468646i | ||||
\(335\) | −12.5793 | + | 21.7879i | −0.687278 | + | 1.19040i | ||||
\(336\) | −6.34185 | − | 2.78944i | −0.345976 | − | 0.152176i | ||||
\(337\) | 13.7826 | + | 23.8721i | 0.750785 | + | 1.30040i | 0.947443 | + | 0.319926i | \(0.103658\pi\) |
−0.196657 | + | 0.980472i | \(0.563009\pi\) | |||||||
\(338\) | −3.33952 | − | 16.6815i | −0.181646 | − | 0.907353i | ||||
\(339\) | −9.21288 | + | 11.3670i | −0.500375 | + | 0.617373i | ||||
\(340\) | −4.45202 | − | 10.6737i | −0.241445 | − | 0.578862i | ||||
\(341\) | 23.5473 | 1.27516 | ||||||||
\(342\) | 3.26952 | − | 27.7141i | 0.176795 | − | 1.49861i | ||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | 27.7347 | − | 1.92079i | 1.49535 | − | 0.103562i | ||||
\(345\) | 5.40320 | − | 34.0206i | 0.290898 | − | 1.83161i | ||||
\(346\) | −4.20417 | − | 21.0006i | −0.226018 | − | 1.12900i | ||||
\(347\) | 12.7104 | − | 7.33834i | 0.682329 | − | 0.393943i | −0.118403 | − | 0.992966i | \(-0.537777\pi\) |
0.800732 | + | 0.599023i | \(0.204444\pi\) | |||||||
\(348\) | 18.1353 | + | 5.33174i | 0.972152 | + | 0.285811i | ||||
\(349\) | −15.4774 | − | 8.93588i | −0.828486 | − | 0.478327i | 0.0248481 | − | 0.999691i | \(-0.492090\pi\) |
−0.853334 | + | 0.521365i | \(0.825423\pi\) | |||||||
\(350\) | 4.17931 | − | 12.3619i | 0.223394 | − | 0.660770i | ||||
\(351\) | 0.261349 | + | 5.11190i | 0.0139498 | + | 0.272853i | ||||
\(352\) | 15.8356 | + | 0.940007i | 0.844043 | + | 0.0501025i | ||||
\(353\) | 21.7765 | + | 12.5726i | 1.15904 | + | 0.669175i | 0.951075 | − | 0.308961i | \(-0.0999812\pi\) |
0.207969 | + | 0.978135i | \(0.433315\pi\) | |||||||
\(354\) | 0.785735 | + | 19.5959i | 0.0417613 | + | 1.04151i | ||||
\(355\) | −1.58586 | − | 2.74679i | −0.0841688 | − | 0.145785i | ||||
\(356\) | 0.665597 | + | 0.0859598i | 0.0352766 | + | 0.00455586i | ||||
\(357\) | 0.416499 | − | 2.62244i | 0.0220435 | − | 0.138794i | ||||
\(358\) | −12.2767 | − | 13.9642i | −0.648846 | − | 0.738031i | ||||
\(359\) | −21.9911 | −1.16065 | −0.580323 | − | 0.814387i | \(-0.697074\pi\) | ||||
−0.580323 | + | 0.814387i | \(0.697074\pi\) | |||||||
\(360\) | 8.77516 | + | 30.7791i | 0.462491 | + | 1.62220i | ||||
\(361\) | 24.2644 | 1.27707 | ||||||||
\(362\) | 12.2166 | + | 13.8958i | 0.642089 | + | 0.730346i | ||||
\(363\) | −4.21964 | − | 3.41997i | −0.221474 | − | 0.179502i | ||||
\(364\) | −0.252342 | + | 1.95391i | −0.0132263 | + | 0.102413i | ||||
\(365\) | −26.2463 | − | 45.4599i | −1.37379 | − | 2.37948i | ||||
\(366\) | 16.9026 | − | 10.6838i | 0.883511 | − | 0.558450i | ||||
\(367\) | −18.5649 | − | 10.7184i | −0.969080 | − | 0.559498i | −0.0701240 | − | 0.997538i | \(-0.522340\pi\) |
−0.898956 | + | 0.438040i | \(0.855673\pi\) | |||||||
\(368\) | 5.55899 | + | 20.3449i | 0.289782 | + | 1.06055i | ||||
\(369\) | 4.41149 | − | 13.5379i | 0.229653 | − | 0.704754i | ||||
\(370\) | 10.8613 | − | 32.1264i | 0.564653 | − | 1.67017i | ||||
\(371\) | −0.00453359 | − | 0.00261747i | −0.000235372 | − | 0.000135892i | ||||
\(372\) | −20.0655 | − | 21.0586i | −1.04035 | − | 1.09184i | ||||
\(373\) | 8.65167 | − | 4.99504i | 0.447966 | − | 0.258633i | −0.259005 | − | 0.965876i | \(-0.583394\pi\) |
0.706971 | + | 0.707243i | \(0.250061\pi\) | |||||||
\(374\) | 1.19347 | + | 5.96157i | 0.0617127 | + | 0.308265i | ||||
\(375\) | −25.7867 | + | 9.88598i | −1.33162 | + | 0.510510i | ||||
\(376\) | −22.9977 | + | 1.59272i | −1.18601 | + | 0.0821384i | ||||
\(377\) | − | 5.37530i | − | 0.276842i | ||||||
\(378\) | −1.99500 | + | 7.07248i | −0.102612 | + | 0.363769i | ||||
\(379\) | −34.8839 | −1.79187 | −0.895933 | − | 0.444190i | \(-0.853492\pi\) | ||||
−0.895933 | + | 0.444190i | \(0.853492\pi\) | |||||||
\(380\) | −45.7958 | + | 19.1016i | −2.34928 | + | 0.979890i | ||||
\(381\) | −7.68250 | − | 20.0391i | −0.393586 | − | 1.02664i | ||||
\(382\) | −1.16192 | − | 5.80397i | −0.0594488 | − | 0.296957i | ||||
\(383\) | 1.59336 | + | 2.75978i | 0.0814170 | + | 0.141018i | 0.903859 | − | 0.427831i | \(-0.140722\pi\) |
−0.822442 | + | 0.568849i | \(0.807389\pi\) | |||||||
\(384\) | −12.6535 | − | 14.9629i | −0.645719 | − | 0.763575i | ||||
\(385\) | −5.28877 | + | 9.16041i | −0.269540 | + | 0.466858i | ||||
\(386\) | −11.3079 | − | 3.82300i | −0.575558 | − | 0.194585i | ||||
\(387\) | −6.10621 | − | 28.8484i | −0.310396 | − | 1.46645i | ||||
\(388\) | −16.1055 | − | 12.2952i | −0.817631 | − | 0.624196i | ||||
\(389\) | −3.61162 | + | 6.25551i | −0.183116 | + | 0.317167i | −0.942940 | − | 0.332962i | \(-0.891952\pi\) |
0.759824 | + | 0.650129i | \(0.225285\pi\) | |||||||
\(390\) | 7.69329 | − | 4.86278i | 0.389565 | − | 0.246236i | ||||
\(391\) | −7.00028 | + | 4.04161i | −0.354019 | + | 0.204393i | ||||
\(392\) | −1.24160 | + | 2.54134i | −0.0627102 | + | 0.128357i | ||||
\(393\) | 6.96028 | − | 8.58774i | 0.351100 | − | 0.433194i | ||||
\(394\) | 13.6005 | − | 11.9570i | 0.685184 | − | 0.602385i | ||||
\(395\) | − | 51.2284i | − | 2.57758i | ||||||
\(396\) | −1.34716 | − | 16.7718i | −0.0676974 | − | 0.842814i | ||||
\(397\) | − | 5.27745i | − | 0.264868i | −0.991192 | − | 0.132434i | \(-0.957721\pi\) | ||
0.991192 | − | 0.132434i | \(-0.0422792\pi\) | |||||||
\(398\) | 9.42208 | + | 10.7172i | 0.472286 | + | 0.537203i | ||||
\(399\) | −11.2517 | − | 1.78700i | −0.563287 | − | 0.0894621i | ||||
\(400\) | 25.9696 | − | 26.2267i | 1.29848 | − | 1.31134i | ||||
\(401\) | −13.4017 | + | 7.73749i | −0.669250 | + | 0.386392i | −0.795792 | − | 0.605570i | \(-0.792945\pi\) |
0.126542 | + | 0.991961i | \(0.459612\pi\) | |||||||
\(402\) | −16.3250 | + | 0.654581i | −0.814215 | + | 0.0326475i | ||||
\(403\) | −4.13575 | + | 7.16333i | −0.206017 | + | 0.356831i | ||||
\(404\) | −18.1576 | − | 13.8618i | −0.903372 | − | 0.689653i | ||||
\(405\) | 31.0357 | − | 13.7546i | 1.54218 | − | 0.683473i | ||||
\(406\) | 2.47156 | − | 7.31054i | 0.122661 | − | 0.362816i | ||||
\(407\) | −8.91420 | + | 15.4398i | −0.441860 | + | 0.765325i | ||||
\(408\) | 4.31448 | − | 6.14739i | 0.213599 | − | 0.304341i | ||||
\(409\) | −12.1348 | − | 21.0182i | −0.600029 | − | 1.03928i | −0.992816 | − | 0.119651i | \(-0.961822\pi\) |
0.392787 | − | 0.919629i | \(-0.371511\pi\) | |||||||
\(410\) | −24.8248 | + | 4.96975i | −1.22601 | + | 0.245439i | ||||
\(411\) | −9.15691 | − | 1.45431i | −0.451677 | − | 0.0717360i | ||||
\(412\) | −6.69658 | − | 16.0550i | −0.329917 | − | 0.790973i | ||||
\(413\) | 8.00640 | 0.393969 | ||||||||
\(414\) | 20.5501 | − | 8.83824i | 1.00998 | − | 0.434376i | ||||
\(415\) | 41.4657i | 2.03547i | ||||||||
\(416\) | −3.06726 | + | 4.65226i | −0.150385 | + | 0.228096i | ||||
\(417\) | −25.3414 | − | 20.5390i | −1.24098 | − | 1.00580i | ||||
\(418\) | 25.5783 | − | 5.12061i | 1.25108 | − | 0.250457i | ||||
\(419\) | −28.7613 | + | 16.6054i | −1.40508 | + | 0.811225i | −0.994908 | − | 0.100783i | \(-0.967865\pi\) |
−0.410174 | + | 0.912007i | \(0.634532\pi\) | |||||||
\(420\) | 12.6990 | − | 3.07613i | 0.619646 | − | 0.150100i | ||||
\(421\) | 9.27082 | + | 5.35251i | 0.451832 | + | 0.260865i | 0.708604 | − | 0.705607i | \(-0.249325\pi\) |
−0.256772 | + | 0.966472i | \(0.582659\pi\) | |||||||
\(422\) | −2.86737 | − | 0.969402i | −0.139581 | − | 0.0471898i | ||||
\(423\) | 5.06329 | + | 23.9212i | 0.246186 | + | 1.16309i | ||||
\(424\) | −0.00827158 | − | 0.0122808i | −0.000401703 | − | 0.000596408i | ||||
\(425\) | 12.2505 | + | 7.07284i | 0.594238 | + | 0.343083i | ||||
\(426\) | 0.957573 | − | 1.82361i | 0.0463946 | − | 0.0883543i | ||||
\(427\) | −4.08166 | − | 7.06965i | −0.197526 | − | 0.342124i | ||||
\(428\) | 9.73743 | + | 1.25756i | 0.470676 | + | 0.0607864i | ||||
\(429\) | −4.46761 | + | 1.71277i | −0.215698 | + | 0.0826933i | ||||
\(430\) | −39.3775 | + | 34.6190i | −1.89895 | + | 1.66948i | ||||
\(431\) | 17.8880 | 0.861635 | 0.430818 | − | 0.902439i | \(-0.358225\pi\) | ||||
0.430818 | + | 0.902439i | \(0.358225\pi\) | |||||||
\(432\) | −13.8512 | + | 15.4966i | −0.666415 | + | 0.745581i | ||||
\(433\) | 22.8075 | 1.09606 | 0.548030 | − | 0.836459i | \(-0.315378\pi\) | ||||
0.548030 | + | 0.836459i | \(0.315378\pi\) | |||||||
\(434\) | −8.91842 | + | 7.84070i | −0.428098 | + | 0.376366i | ||||
\(435\) | −33.2873 | + | 12.7615i | −1.59600 | + | 0.611868i | ||||
\(436\) | 8.90962 | + | 1.15065i | 0.426693 | + | 0.0551061i | ||||
\(437\) | 17.3407 | + | 30.0349i | 0.829517 | + | 1.43677i | ||||
\(438\) | 15.8480 | − | 30.1811i | 0.757246 | − | 1.44211i | ||||
\(439\) | 12.5582 | + | 7.25048i | 0.599370 | + | 0.346046i | 0.768794 | − | 0.639497i | \(-0.220857\pi\) |
−0.169424 | + | 0.985543i | \(0.554191\pi\) | |||||||
\(440\) | −24.8141 | + | 16.7132i | −1.18297 | + | 0.796773i | ||||
\(441\) | 2.85238 | + | 0.929483i | 0.135828 | + | 0.0442611i | ||||
\(442\) | −2.02318 | − | 0.684000i | −0.0962330 | − | 0.0325346i | ||||
\(443\) | 32.7852 | + | 18.9285i | 1.55767 | + | 0.899322i | 0.997479 | + | 0.0709598i | \(0.0226062\pi\) |
0.560193 | + | 0.828362i | \(0.310727\pi\) | |||||||
\(444\) | 21.4041 | − | 5.18481i | 1.01579 | − | 0.246060i | ||||
\(445\) | −1.09613 | + | 0.632854i | −0.0519618 | + | 0.0300001i | ||||
\(446\) | 31.6653 | − | 6.33917i | 1.49939 | − | 0.300168i | ||||
\(447\) | −4.72131 | − | 3.82658i | −0.223310 | − | 0.180991i | ||||
\(448\) | −6.31066 | + | 4.91687i | −0.298151 | + | 0.232300i | ||||
\(449\) | − | 7.39596i | − | 0.349037i | −0.984654 | − | 0.174518i | \(-0.944163\pi\) | ||
0.984654 | − | 0.174518i | \(-0.0558368\pi\) | |||||||
\(450\) | −31.3761 | − | 23.4111i | −1.47908 | − | 1.10361i | ||||
\(451\) | 13.3097 | 0.626729 | ||||||||
\(452\) | 6.50396 | + | 15.5932i | 0.305921 | + | 0.733442i | ||||
\(453\) | −14.1555 | − | 2.24820i | −0.665085 | − | 0.105630i | ||||
\(454\) | 27.7606 | − | 5.55749i | 1.30287 | − | 0.260826i | ||||
\(455\) | −1.85779 | − | 3.21779i | −0.0870946 | − | 0.150852i | ||||
\(456\) | −26.3756 | − | 18.5114i | −1.23515 | − | 0.866877i | ||||
\(457\) | −17.7591 | + | 30.7597i | −0.830735 | + | 1.43888i | 0.0667206 | + | 0.997772i | \(0.478746\pi\) |
−0.897456 | + | 0.441104i | \(0.854587\pi\) | |||||||
\(458\) | −12.1102 | + | 35.8204i | −0.565873 | + | 1.67378i | ||||
\(459\) | −7.09305 | − | 3.62552i | −0.331075 | − | 0.169225i | ||||
\(460\) | −31.6159 | − | 24.1362i | −1.47410 | − | 1.12536i | ||||
\(461\) | −14.0793 | + | 24.3861i | −0.655740 | + | 1.13577i | 0.325968 | + | 0.945381i | \(0.394310\pi\) |
−0.981708 | + | 0.190394i | \(0.939023\pi\) | |||||||
\(462\) | −6.86359 | + | 0.275209i | −0.319323 | + | 0.0128039i | ||||
\(463\) | 29.3394 | − | 16.9391i | 1.36352 | − | 0.787228i | 0.373429 | − | 0.927659i | \(-0.378182\pi\) |
0.990091 | + | 0.140431i | \(0.0448487\pi\) | |||||||
\(464\) | 15.3578 | − | 15.5099i | 0.712969 | − | 0.720030i | ||||
\(465\) | 54.1787 | + | 8.60473i | 2.51248 | + | 0.399035i | ||||
\(466\) | −20.6879 | − | 23.5315i | −0.958348 | − | 1.09008i | ||||
\(467\) | 0.227729i | 0.0105380i | 0.999986 | + | 0.00526902i | \(0.00167719\pi\) | ||||
−0.999986 | + | 0.00526902i | \(0.998323\pi\) | |||||||
\(468\) | 5.33875 | + | 2.53590i | 0.246784 | + | 0.117222i | ||||
\(469\) | 6.66999i | 0.307992i | ||||||||
\(470\) | 32.6519 | − | 28.7062i | 1.50612 | − | 1.32412i | ||||
\(471\) | −7.54554 | + | 9.30985i | −0.347680 | + | 0.428975i | ||||
\(472\) | 20.3470 | + | 9.94074i | 0.936548 | + | 0.457560i | ||||
\(473\) | 23.8711 | − | 13.7820i | 1.09759 | − | 0.633697i | ||||
\(474\) | 28.1214 | − | 17.7750i | 1.29166 | − | 0.816431i | ||||
\(475\) | 30.3463 | − | 52.5613i | 1.39238 | − | 2.41168i | ||||
\(476\) | −2.43708 | − | 1.86051i | −0.111703 | − | 0.0852765i | ||||
\(477\) | −0.0116799 | + | 0.0104986i | −0.000534787 | + | 0.000480699i | ||||
\(478\) | −21.1751 | − | 7.15891i | −0.968528 | − | 0.327441i | ||||
\(479\) | −3.27213 | + | 5.66749i | −0.149507 | + | 0.258954i | −0.931045 | − | 0.364903i | \(-0.881102\pi\) |
0.781538 | + | 0.623857i | \(0.214435\pi\) | |||||||
\(480\) | 36.0918 | + | 7.94951i | 1.64736 | + | 0.362844i | ||||
\(481\) | −3.13130 | − | 5.42357i | −0.142775 | − | 0.247294i | ||||
\(482\) | −2.72559 | − | 13.6148i | −0.124147 | − | 0.620137i | ||||
\(483\) | −3.26917 | − | 8.52735i | −0.148753 | − | 0.388008i | ||||
\(484\) | −5.78845 | + | 2.41438i | −0.263111 | + | 0.109745i | ||||
\(485\) | 38.2136 | 1.73519 | ||||||||
\(486\) | 18.3191 | + | 12.2643i | 0.830970 | + | 0.556318i | ||||
\(487\) | − | 13.4811i | − | 0.610887i | −0.952210 | − | 0.305444i | \(-0.901195\pi\) | ||
0.952210 | − | 0.305444i | \(-0.0988048\pi\) | |||||||
\(488\) | −1.59525 | − | 23.0342i | −0.0722137 | − | 1.04271i | ||||
\(489\) | 24.4278 | − | 9.36501i | 1.10466 | − | 0.423501i | ||||
\(490\) | −1.04711 | − | 5.23048i | −0.0473035 | − | 0.236289i | ||||
\(491\) | −11.2758 | + | 6.51010i | −0.508871 | + | 0.293797i | −0.732369 | − | 0.680908i | \(-0.761586\pi\) |
0.223499 | + | 0.974704i | \(0.428252\pi\) | |||||||
\(492\) | −11.3417 | − | 11.9030i | −0.511322 | − | 0.536627i | ||||
\(493\) | 7.24469 | + | 4.18272i | 0.326284 | + | 0.188380i | ||||
\(494\) | −2.93473 | + | 8.68054i | −0.132040 | + | 0.390556i | ||||
\(495\) | 21.2131 | + | 23.6000i | 0.953460 | + | 1.06074i | ||||
\(496\) | −32.3998 | + | 8.85283i | −1.45479 | + | 0.397504i | ||||
\(497\) | −0.728226 | − | 0.420442i | −0.0326654 | − | 0.0188594i | ||||
\(498\) | −22.7622 | + | 14.3875i | −1.02000 | + | 0.644721i | ||||
\(499\) | 10.0816 | + | 17.4619i | 0.451316 | + | 0.781703i | 0.998468 | − | 0.0553306i | \(-0.0176213\pi\) |
−0.547152 | + | 0.837033i | \(0.684288\pi\) | |||||||
\(500\) | −4.08446 | + | 31.6265i | −0.182663 | + | 1.41438i | ||||
\(501\) | 2.54446 | + | 2.06226i | 0.113678 | + | 0.0921351i | ||||
\(502\) | 2.14180 | + | 2.43620i | 0.0955933 | + | 0.108733i | ||||
\(503\) | 10.8372 | 0.483205 | 0.241602 | − | 0.970375i | \(-0.422327\pi\) | ||||
0.241602 | + | 0.970375i | \(0.422327\pi\) | |||||||
\(504\) | 6.09483 | + | 5.90364i | 0.271485 | + | 0.262969i | ||||
\(505\) | 43.0826 | 1.91715 | ||||||||
\(506\) | 13.8068 | + | 15.7046i | 0.613787 | + | 0.698153i | ||||
\(507\) | −3.26823 | + | 20.5780i | −0.145147 | + | 0.913902i | ||||
\(508\) | −24.5773 | − | 3.17408i | −1.09044 | − | 0.140827i | ||||
\(509\) | −6.11814 | − | 10.5969i | −0.271182 | − | 0.469700i | 0.697983 | − | 0.716114i | \(-0.254081\pi\) |
−0.969165 | + | 0.246414i | \(0.920748\pi\) | |||||||
\(510\) | 0.567482 | + | 14.1527i | 0.0251285 | + | 0.626694i | ||||
\(511\) | −12.0523 | − | 6.95837i | −0.533160 | − | 0.307820i | ||||
\(512\) | −22.1423 | + | 4.66016i | −0.978562 | + | 0.205952i | ||||
\(513\) | −15.5554 | + | 30.4330i | −0.686789 | + | 1.34365i | ||||
\(514\) | −7.44853 | + | 22.0318i | −0.328541 | + | 0.971781i | ||||
\(515\) | 28.4119 | + | 16.4036i | 1.25198 | + | 0.722829i | ||||
\(516\) | −32.6668 | − | 9.60398i | −1.43807 | − | 0.422792i | ||||
\(517\) | −19.7940 | + | 11.4281i | −0.870539 | + | 0.502606i | ||||
\(518\) | −1.76490 | − | 8.81596i | −0.0775451 | − | 0.387351i | ||||
\(519\) | −4.11443 | + | 25.9060i | −0.180603 | + | 1.13715i | ||||
\(520\) | −0.726088 | − | 10.4841i | −0.0318411 | − | 0.459760i | ||||
\(521\) | − | 42.1821i | − | 1.84803i | −0.382352 | − | 0.924017i | \(-0.624886\pi\) | ||
0.382352 | − | 0.924017i | \(-0.375114\pi\) | |||||||
\(522\) | −18.5552 | − | 13.8448i | −0.812137 | − | 0.605972i | ||||
\(523\) | 2.13407 | 0.0933164 | 0.0466582 | − | 0.998911i | \(-0.485143\pi\) | ||||
0.0466582 | + | 0.998911i | \(0.485143\pi\) | |||||||
\(524\) | −4.91371 | − | 11.7806i | −0.214656 | − | 0.514637i | ||||
\(525\) | −10.0631 | + | 12.4160i | −0.439189 | + | 0.541881i | ||||
\(526\) | −0.0382633 | − | 0.191132i | −0.00166836 | − | 0.00833374i | ||||
\(527\) | −6.43637 | − | 11.1481i | −0.280373 | − | 0.485620i | ||||
\(528\) | −17.7844 | − | 7.82242i | −0.773969 | − | 0.340427i | ||||
\(529\) | −2.40054 | + | 4.15785i | −0.104371 | + | 0.180776i | ||||
\(530\) | 0.0264537 | + | 0.00894348i | 0.00114907 | + | 0.000388480i | ||||
\(531\) | 7.44182 | − | 22.8373i | 0.322947 | − | 0.991054i | ||||
\(532\) | −7.98260 | + | 10.4564i | −0.346090 | + | 0.453341i | ||||
\(533\) | −2.33766 | + | 4.04894i | −0.101255 | + | 0.175379i | ||||
\(534\) | −0.727730 | − | 0.382129i | −0.0314919 | − | 0.0165363i | ||||
\(535\) | −16.0360 | + | 9.25840i | −0.693298 | + | 0.400276i | ||||
\(536\) | −8.28145 | + | 16.9507i | −0.357704 | + | 0.732161i | ||||
\(537\) | 8.15179 | + | 21.2632i | 0.351776 | + | 0.917575i | ||||
\(538\) | 16.8960 | − | 14.8542i | 0.728437 | − | 0.640412i | ||||
\(539\) | 2.80430i | 0.120790i | ||||||||
\(540\) | 3.02919 | − | 39.0815i | 0.130355 | − | 1.68180i | ||||
\(541\) | 30.2209i | 1.29930i | 0.760235 | + | 0.649649i | \(0.225084\pi\) | ||||
−0.760235 | + | 0.649649i | \(0.774916\pi\) | |||||||
\(542\) | −2.37848 | − | 2.70540i | −0.102164 | − | 0.116207i | ||||
\(543\) | −8.11184 | − | 21.1590i | −0.348112 | − | 0.908021i | ||||
\(544\) | −3.88345 | − | 7.75408i | −0.166501 | − | 0.332453i | ||||
\(545\) | −14.6727 | + | 8.47131i | −0.628511 | + | 0.362871i | ||||
\(546\) | 1.12177 | − | 2.13631i | 0.0480073 | − | 0.0914256i | ||||
\(547\) | 6.85264 | − | 11.8691i | 0.292998 | − | 0.507487i | −0.681519 | − | 0.731800i | \(-0.738680\pi\) |
0.974517 | + | 0.224313i | \(0.0720138\pi\) | |||||||
\(548\) | −6.49646 | + | 8.50968i | −0.277515 | + | 0.363516i | ||||
\(549\) | −23.9592 | + | 5.07133i | −1.02255 | + | 0.216439i | ||||
\(550\) | 11.7201 | − | 34.6664i | 0.499745 | − | 1.47818i | ||||
\(551\) | 17.9461 | − | 31.0836i | 0.764531 | − | 1.32421i | ||||
\(552\) | 2.27945 | − | 25.7299i | 0.0970197 | − | 1.09514i | ||||
\(553\) | −6.79080 | − | 11.7620i | −0.288774 | − | 0.500172i | ||||
\(554\) | −36.2575 | + | 7.25851i | −1.54043 | + | 0.308385i | ||||
\(555\) | −26.1522 | + | 32.2672i | −1.11010 | + | 1.36966i | ||||
\(556\) | −34.7631 | + | 14.4998i | −1.47428 | + | 0.614928i | ||||
\(557\) | 21.1048 | 0.894238 | 0.447119 | − | 0.894474i | \(-0.352450\pi\) | ||||
0.447119 | + | 0.894474i | \(0.352450\pi\) | |||||||
\(558\) | 14.0751 | + | 32.7265i | 0.595847 | + | 1.38542i | ||||
\(559\) | 9.68244i | 0.409523i | ||||||||
\(560\) | 3.83310 | − | 14.5926i | 0.161978 | − | 0.616648i | ||||
\(561\) | 1.16799 | − | 7.35410i | 0.0493125 | − | 0.310490i | ||||
\(562\) | 27.1032 | − | 5.42588i | 1.14328 | − | 0.228877i | ||||
\(563\) | −14.4082 | + | 8.31857i | −0.607233 | + | 0.350586i | −0.771882 | − | 0.635766i | \(-0.780684\pi\) |
0.164649 | + | 0.986352i | \(0.447351\pi\) | |||||||
\(564\) | 27.0874 | + | 7.96365i | 1.14058 | + | 0.335330i | ||||
\(565\) | −27.5946 | − | 15.9318i | −1.16091 | − | 0.670255i | ||||
\(566\) | −22.9392 | − | 7.75531i | −0.964207 | − | 0.325980i | ||||
\(567\) | 5.30247 | − | 7.27212i | 0.222683 | − | 0.305400i | ||||
\(568\) | −1.32865 | − | 1.97265i | −0.0557491 | − | 0.0827706i | ||||
\(569\) | 31.2042 | + | 18.0157i | 1.30815 | + | 0.755258i | 0.981787 | − | 0.189987i | \(-0.0608447\pi\) |
0.326359 | + | 0.945246i | \(0.394178\pi\) | |||||||
\(570\) | 60.7228 | − | 2.43480i | 2.54340 | − | 0.101983i | ||||
\(571\) | −14.8055 | − | 25.6438i | −0.619590 | − | 1.07316i | −0.989561 | − | 0.144118i | \(-0.953965\pi\) |
0.369970 | − | 0.929044i | \(-0.379368\pi\) | |||||||
\(572\) | −0.707643 | + | 5.47936i | −0.0295880 | + | 0.229104i | ||||
\(573\) | −1.13711 | + | 7.15969i | −0.0475035 | + | 0.299100i | ||||
\(574\) | −5.04097 | + | 4.43181i | −0.210406 | + | 0.184980i | ||||
\(575\) | 48.6520 | 2.02893 | ||||||||
\(576\) | 8.15912 | + | 22.5705i | 0.339963 | + | 0.940439i | ||||
\(577\) | −11.1412 | −0.463815 | −0.231908 | − | 0.972738i | \(-0.574497\pi\) | ||||
−0.231908 | + | 0.972738i | \(0.574497\pi\) | |||||||
\(578\) | −15.5597 | + | 13.6795i | −0.647199 | + | 0.568990i | ||||
\(579\) | 11.3575 | + | 9.20513i | 0.472001 | + | 0.382552i | ||||
\(580\) | −5.27251 | + | 40.8257i | −0.218929 | + | 1.69519i | ||||
\(581\) | 5.49666 | + | 9.52050i | 0.228040 | + | 0.394977i | ||||
\(582\) | 13.2591 | + | 20.9770i | 0.549609 | + | 0.869524i | ||||
\(583\) | −0.0127136 | − | 0.00734018i | −0.000526542 | − | 0.000303999i | ||||
\(584\) | −21.9894 | − | 32.6477i | −0.909929 | − | 1.35097i | ||||
\(585\) | −10.9051 | + | 2.30824i | −0.450872 | + | 0.0954341i | ||||
\(586\) | −10.8077 | − | 3.65388i | −0.446462 | − | 0.150940i | ||||
\(587\) | −6.87113 | − | 3.96705i | −0.283602 | − | 0.163738i | 0.351451 | − | 0.936206i | \(-0.385688\pi\) |
−0.635053 | + | 0.772469i | \(0.719022\pi\) | |||||||
\(588\) | 2.50791 | − | 2.38964i | 0.103424 | − | 0.0985473i | ||||
\(589\) | −47.8314 | + | 27.6155i | −1.97086 | + | 1.13788i | ||||
\(590\) | −41.8774 | + | 8.38357i | −1.72406 | + | 0.345146i | ||||
\(591\) | −20.7094 | + | 7.93947i | −0.851872 | + | 0.326586i | ||||
\(592\) | 6.46067 | − | 24.5957i | 0.265532 | − | 1.01088i | ||||
\(593\) | 4.02471i | 0.165275i | 0.996580 | + | 0.0826375i | \(0.0263344\pi\) | ||||
−0.996580 | + | 0.0826375i | \(0.973666\pi\) | |||||||
\(594\) | −5.59459 | + | 19.8334i | −0.229549 | + | 0.813773i | ||||
\(595\) | 5.78247 | 0.237058 | ||||||||
\(596\) | −6.47664 | + | 2.70143i | −0.265294 | + | 0.110655i | ||||
\(597\) | −6.25629 | − | 16.3190i | −0.256053 | − | 0.667891i | ||||
\(598\) | −7.20245 | + | 1.44188i | −0.294530 | + | 0.0589629i | ||||
\(599\) | −9.09149 | − | 15.7469i | −0.371468 | − | 0.643402i | 0.618323 | − | 0.785924i | \(-0.287812\pi\) |
−0.989792 | + | 0.142522i | \(0.954479\pi\) | |||||||
\(600\) | −40.9895 | + | 19.0591i | −1.67339 | + | 0.778086i | ||||
\(601\) | 8.31549 | − | 14.4028i | 0.339196 | − | 0.587504i | −0.645086 | − | 0.764110i | \(-0.723178\pi\) |
0.984282 | + | 0.176606i | \(0.0565118\pi\) | |||||||
\(602\) | −4.45197 | + | 13.1684i | −0.181449 | + | 0.536702i | ||||
\(603\) | 19.0253 | + | 6.19964i | 0.774772 | + | 0.252469i | ||||
\(604\) | −10.0428 | + | 13.1550i | −0.408635 | + | 0.535269i | ||||
\(605\) | 5.91414 | − | 10.2436i | 0.240444 | − | 0.416461i | ||||
\(606\) | 14.9486 | + | 23.6498i | 0.607243 | + | 0.960707i | ||||
\(607\) | −4.12950 | + | 2.38417i | −0.167611 | + | 0.0967704i | −0.581459 | − | 0.813576i | \(-0.697518\pi\) |
0.413848 | + | 0.910346i | \(0.364185\pi\) | |||||||
\(608\) | −33.2692 | + | 16.6621i | −1.34924 | + | 0.675736i | ||||
\(609\) | −5.95109 | + | 7.34258i | −0.241150 | + | 0.297536i | ||||
\(610\) | 28.7518 | + | 32.7038i | 1.16413 | + | 1.32414i | ||||
\(611\) | − | 8.02870i | − | 0.324807i | ||||||
\(612\) | −7.57211 | + | 5.22215i | −0.306085 | + | 0.211093i | ||||
\(613\) | 12.7687i | 0.515722i | 0.966182 | + | 0.257861i | \(0.0830176\pi\) | ||||
−0.966182 | + | 0.257861i | \(0.916982\pi\) | |||||||
\(614\) | −7.59683 | + | 6.67881i | −0.306583 | + | 0.269535i | ||||
\(615\) | 30.6235 | + | 4.86366i | 1.23486 | + | 0.196122i | ||||
\(616\) | −3.48181 | + | 7.12670i | −0.140286 | + | 0.287143i | ||||
\(617\) | 12.6927 | − | 7.32813i | 0.510989 | − | 0.295019i | −0.222251 | − | 0.974989i | \(-0.571341\pi\) |
0.733240 | + | 0.679970i | \(0.238007\pi\) | |||||||
\(618\) | 0.853587 | + | 21.2881i | 0.0343363 | + | 0.856332i | ||||
\(619\) | −0.0928058 | + | 0.160744i | −0.00373018 | + | 0.00646086i | −0.867884 | − | 0.496766i | \(-0.834521\pi\) |
0.864154 | + | 0.503227i | \(0.167854\pi\) | |||||||
\(620\) | 38.4376 | − | 50.3492i | 1.54369 | − | 2.02207i | ||||
\(621\) | −27.3619 | + | 1.39889i | −1.09799 | + | 0.0561356i | ||||
\(622\) | 1.16841 | + | 0.395017i | 0.0468490 | + | 0.0158387i | ||||
\(623\) | −0.167781 | + | 0.290606i | −0.00672201 | + | 0.0116429i | ||||
\(624\) | 5.50324 | − | 4.03631i | 0.220306 | − | 0.161582i | ||||
\(625\) | −7.00262 | − | 12.1289i | −0.280105 | − | 0.485156i | ||||
\(626\) | −6.80278 | − | 33.9811i | −0.271894 | − | 1.35816i | ||||
\(627\) | −31.5530 | − | 5.01130i | −1.26011 | − | 0.200132i | ||||
\(628\) | 5.32688 | + | 12.7712i | 0.212566 | + | 0.509624i | ||||
\(629\) | 9.74634 | 0.388612 | ||||||||
\(630\) | −15.8926 | − | 1.87490i | −0.633176 | − | 0.0746978i | ||||
\(631\) | 3.98492i | 0.158637i | 0.996849 | + | 0.0793185i | \(0.0252744\pi\) | ||||
−0.996849 | + | 0.0793185i | \(0.974726\pi\) | |||||||
\(632\) | −2.65408 | − | 38.3228i | −0.105573 | − | 1.52440i | ||||
\(633\) | 2.87993 | + | 2.33416i | 0.114467 | + | 0.0927744i | ||||
\(634\) | 0.618857 | + | 3.09130i | 0.0245780 | + | 0.122771i | ||||
\(635\) | 40.4749 | − | 23.3682i | 1.60620 | − | 0.927338i | ||||
\(636\) | 0.00426930 | + | 0.0176247i | 0.000169289 | + | 0.000698863i | ||||
\(637\) | −0.853096 | − | 0.492535i | −0.0338009 | − | 0.0195150i | ||||
\(638\) | 6.93098 | − | 20.5010i | 0.274400 | − | 0.811640i | ||||
\(639\) | −1.87613 | + | 1.68638i | −0.0742186 | + | 0.0667123i | ||||
\(640\) | 27.8593 | − | 32.3255i | 1.10124 | − | 1.27778i | ||||
\(641\) | 17.6085 | + | 10.1663i | 0.695496 | + | 0.401545i | 0.805668 | − | 0.592368i | \(-0.201807\pi\) |
−0.110172 | + | 0.993913i | \(0.535140\pi\) | |||||||
\(642\) | −10.6464 | − | 5.59040i | −0.420180 | − | 0.220635i | ||||
\(643\) | 17.8106 | + | 30.8489i | 0.702383 | + | 1.21656i | 0.967628 | + | 0.252382i | \(0.0812141\pi\) |
−0.265244 | + | 0.964181i | \(0.585453\pi\) | |||||||
\(644\) | −10.4585 | − | 1.35068i | −0.412122 | − | 0.0532243i | ||||
\(645\) | 59.9598 | − | 22.9871i | 2.36092 | − | 0.905117i | ||||
\(646\) | −9.41579 | − | 10.7100i | −0.370459 | − | 0.421380i | ||||
\(647\) | −31.2351 | −1.22798 | −0.613989 | − | 0.789314i | \(-0.710436\pi\) | ||||
−0.613989 | + | 0.789314i | \(0.710436\pi\) | |||||||
\(648\) | 22.5045 | − | 11.8974i | 0.884059 | − | 0.467375i | ||||
\(649\) | 22.4524 | 0.881332 | ||||||||
\(650\) | 8.48740 | + | 9.65401i | 0.332903 | + | 0.378662i | ||||
\(651\) | 13.5800 | − | 5.20624i | 0.532243 | − | 0.204049i | ||||
\(652\) | 3.86922 | − | 29.9598i | 0.151530 | − | 1.17332i | ||||
\(653\) | 12.7104 | + | 22.0151i | 0.497398 | + | 0.861519i | 0.999995 | − | 0.00300167i | \(-0.000955464\pi\) |
−0.502597 | + | 0.864521i | \(0.667622\pi\) | |||||||
\(654\) | −9.74132 | − | 5.11514i | −0.380916 | − | 0.200018i | ||||
\(655\) | 20.8476 | + | 12.0364i | 0.814583 | + | 0.470300i | ||||
\(656\) | −18.3134 | + | 5.00390i | −0.715017 | + | 0.195369i | ||||
\(657\) | −31.0503 | + | 27.9099i | −1.21139 | + | 1.08887i | ||||
\(658\) | 3.69159 | − | 10.9192i | 0.143913 | − | 0.425676i | ||||
\(659\) | −41.6059 | − | 24.0211i | −1.62073 | − | 0.935731i | −0.986724 | − | 0.162406i | \(-0.948075\pi\) |
−0.634010 | − | 0.773325i | \(-0.718592\pi\) | |||||||
\(660\) | 35.6117 | − | 8.62640i | 1.38618 | − | 0.335782i | ||||
\(661\) | −16.3590 | + | 9.44488i | −0.636292 | + | 0.367363i | −0.783185 | − | 0.621789i | \(-0.786406\pi\) |
0.146893 | + | 0.989152i | \(0.453073\pi\) | |||||||
\(662\) | 0.307887 | + | 1.53795i | 0.0119664 | + | 0.0597742i | ||||
\(663\) | 2.03205 | + | 1.64696i | 0.0789183 | + | 0.0639625i | ||||
\(664\) | 2.14828 | + | 31.0195i | 0.0833695 | + | 1.20379i | ||||
\(665\) | − | 24.8099i | − | 0.962087i | ||||||
\(666\) | −26.7869 | − | 3.16014i | −1.03797 | − | 0.122453i | ||||
\(667\) | 28.7717 | 1.11405 | ||||||||
\(668\) | 3.49047 | − | 1.45588i | 0.135050 | − | 0.0563299i | ||||
\(669\) | −39.0618 | − | 6.20385i | −1.51022 | − | 0.239855i | ||||
\(670\) | −6.98420 | − | 34.8873i | −0.269823 | − | 1.34781i | ||||
\(671\) | −11.4462 | − | 19.8254i | −0.441876 | − | 0.765352i | ||||
\(672\) | 9.34044 | − | 2.95910i | 0.360315 | − | 0.114150i | ||||
\(673\) | 18.1140 | − | 31.3744i | 0.698244 | − | 1.20939i | −0.270830 | − | 0.962627i | \(-0.587298\pi\) |
0.969075 | − | 0.246768i | \(-0.0793684\pi\) | |||||||
\(674\) | −36.9296 | − | 12.4852i | −1.42248 | − | 0.480912i | ||||
\(675\) | 26.0618 | + | 40.2442i | 1.00312 | + | 1.54900i | ||||
\(676\) | 19.1235 | + | 14.5993i | 0.735520 | + | 0.561511i | ||||
\(677\) | 7.60017 | − | 13.1639i | 0.292098 | − | 0.505929i | −0.682208 | − | 0.731159i | \(-0.738980\pi\) |
0.974306 | + | 0.225230i | \(0.0723133\pi\) | |||||||
\(678\) | −0.829035 | − | 20.6757i | −0.0318389 | − | 0.794047i | ||||
\(679\) | 8.77381 | − | 5.06556i | 0.336708 | − | 0.194398i | ||||
\(680\) | 14.6953 | + | 7.17951i | 0.563538 | + | 0.275322i | ||||
\(681\) | −34.2451 | − | 5.43885i | −1.31227 | − | 0.208417i | ||||
\(682\) | −25.0099 | + | 21.9877i | −0.957680 | + | 0.841952i | ||||
\(683\) | 13.4656i | 0.515247i | 0.966245 | + | 0.257623i | \(0.0829394\pi\) | ||||
−0.966245 | + | 0.257623i | \(0.917061\pi\) | |||||||
\(684\) | 22.4058 | + | 32.4884i | 0.856708 | + | 1.24223i | ||||
\(685\) | − | 20.1910i | − | 0.771458i | ||||||
\(686\) | −0.933765 | − | 1.06211i | −0.0356513 | − | 0.0405516i | ||||
\(687\) | 29.1593 | − | 35.9774i | 1.11250 | − | 1.37262i | ||||
\(688\) | −27.6638 | + | 27.9378i | −1.05467 | + | 1.06512i | ||||
\(689\) | 0.00446591 | − | 0.00257839i | 0.000170138 | − | 9.82290e-5i | ||||
\(690\) | 26.0284 | + | 41.1790i | 0.990885 | + | 1.56766i | ||||
\(691\) | 2.62563 | − | 4.54773i | 0.0998838 | − | 0.173004i | −0.811753 | − | 0.584001i | \(-0.801486\pi\) |
0.911636 | + | 0.410998i | \(0.134820\pi\) | |||||||
\(692\) | 24.0749 | + | 18.3793i | 0.915191 | + | 0.698675i | ||||
\(693\) | 7.99893 | + | 2.60655i | 0.303854 | + | 0.0990146i | ||||
\(694\) | −6.64757 | + | 19.6626i | −0.252338 | + | 0.746384i | ||||
\(695\) | 35.5179 | − | 61.5189i | 1.34727 | − | 2.33354i | ||||
\(696\) | −24.2403 | + | 11.2712i | −0.918826 | + | 0.427232i | ||||
\(697\) | −3.63804 | − | 6.30127i | −0.137801 | − | 0.238678i | ||||
\(698\) | 24.7827 | − | 4.96134i | 0.938041 | − | 0.187789i | ||||
\(699\) | 13.7368 | + | 35.8313i | 0.519574 | + | 1.35526i | ||||
\(700\) | 7.10418 | + | 17.0322i | 0.268513 | + | 0.643756i | ||||
\(701\) | 36.4901 | 1.37821 | 0.689105 | − | 0.724661i | \(-0.258004\pi\) | ||||
0.689105 | + | 0.724661i | \(0.258004\pi\) | |||||||
\(702\) | −5.05089 | − | 5.18537i | −0.190634 | − | 0.195709i | ||||
\(703\) | − | 41.8170i | − | 1.57716i | ||||||
\(704\) | −17.6970 | + | 13.7884i | −0.666980 | + | 0.519669i | ||||
\(705\) | −49.7189 | + | 19.0610i | −1.87252 | + | 0.717878i | ||||
\(706\) | −34.8690 | + | 6.98053i | −1.31231 | + | 0.262716i | ||||
\(707\) | 9.89174 | − | 5.71100i | 0.372017 | − | 0.214784i | ||||
\(708\) | −19.1325 | − | 20.0793i | −0.719042 | − | 0.754627i | ||||
\(709\) | 28.3816 | + | 16.3861i | 1.06589 | + | 0.615393i | 0.927056 | − | 0.374922i | \(-0.122330\pi\) |
0.138836 | + | 0.990315i | \(0.455664\pi\) | |||||||
\(710\) | 4.24922 | + | 1.43658i | 0.159470 | + | 0.0539140i | ||||
\(711\) | −39.8617 | + | 8.43735i | −1.49493 | + | 0.316425i | ||||
\(712\) | −0.787206 | + | 0.530212i | −0.0295018 | + | 0.0198705i | ||||
\(713\) | −38.3423 | − | 22.1370i | −1.43593 | − | 0.829036i | ||||
\(714\) | 2.00637 | + | 3.17424i | 0.0750865 | + | 0.118793i | ||||
\(715\) | −5.20981 | − | 9.02365i | −0.194836 | − | 0.337465i | ||||
\(716\) | 26.0786 | + | 3.36797i | 0.974602 | + | 0.125867i | ||||
\(717\) | 21.2679 | + | 17.2374i | 0.794265 | + | 0.643744i | ||||
\(718\) | 23.3570 | − | 20.5345i | 0.871676 | − | 0.766341i | ||||
\(719\) | −32.5845 | −1.21520 | −0.607599 | − | 0.794244i | \(-0.707867\pi\) | ||||
−0.607599 | + | 0.794244i | \(0.707867\pi\) | |||||||
\(720\) | −38.0607 | − | 24.4970i | −1.41844 | − | 0.912948i | ||||
\(721\) | 8.69780 | 0.323923 | ||||||||
\(722\) | −25.7715 | + | 22.6572i | −0.959117 | + | 0.843215i | ||||
\(723\) | −2.66741 | + | 16.7950i | −0.0992020 | + | 0.624613i | ||||
\(724\) | −25.9508 | − | 3.35146i | −0.964453 | − | 0.124556i | ||||
\(725\) | −25.1753 | − | 43.6050i | −0.934989 | − | 1.61945i | ||||
\(726\) | 7.67518 | − | 0.307752i | 0.284853 | − | 0.0114217i | ||||
\(727\) | 25.2051 | + | 14.5522i | 0.934807 | + | 0.539711i | 0.888329 | − | 0.459208i | \(-0.151867\pi\) |
0.0464785 | + | 0.998919i | \(0.485200\pi\) | |||||||
\(728\) | −1.55648 | − | 2.31090i | −0.0576870 | − | 0.0856478i | ||||
\(729\) | −15.8143 | − | 21.8840i | −0.585714 | − | 0.810518i | ||||
\(730\) | 70.3253 | + | 23.7757i | 2.60286 | + | 0.879976i | ||||
\(731\) | −13.0497 | − | 7.53427i | −0.482662 | − | 0.278665i | ||||
\(732\) | −7.97630 | + | 27.1304i | −0.294812 | + | 1.00277i | ||||
\(733\) | −29.1201 | + | 16.8125i | −1.07557 | + | 0.620983i | −0.929699 | − | 0.368320i | \(-0.879933\pi\) |
−0.145875 | + | 0.989303i | \(0.546600\pi\) | |||||||
\(734\) | 29.7265 | − | 5.95105i | 1.09723 | − | 0.219657i | ||||
\(735\) | −1.02475 | + | 6.45225i | −0.0377987 | + | 0.237995i | ||||
\(736\) | −24.9016 | − | 16.4178i | −0.917886 | − | 0.605168i | ||||
\(737\) | 18.7047i | 0.688995i | ||||||||
\(738\) | 7.95570 | + | 18.4980i | 0.292853 | + | 0.680922i | ||||
\(739\) | −30.6587 | −1.12780 | −0.563899 | − | 0.825844i | \(-0.690699\pi\) | ||||
−0.563899 | + | 0.825844i | \(0.690699\pi\) | |||||||
\(740\) | 18.4625 | + | 44.2637i | 0.678696 | + | 1.62717i | ||||
\(741\) | 7.06632 | − | 8.71858i | 0.259588 | − | 0.320285i | ||||
\(742\) | 0.00725929 | − | 0.00145326i | 0.000266497 | − | 5.33509e-5i | ||||
\(743\) | 12.9076 | + | 22.3566i | 0.473534 | + | 0.820185i | 0.999541 | − | 0.0302953i | \(-0.00964477\pi\) |
−0.526007 | + | 0.850480i | \(0.676311\pi\) | |||||||
\(744\) | 40.9756 | + | 3.63008i | 1.50224 | + | 0.133085i | ||||
\(745\) | 6.61727 | − | 11.4615i | 0.242438 | − | 0.419915i | ||||
\(746\) | −4.52485 | + | 13.3839i | −0.165666 | + | 0.490020i | ||||
\(747\) | 32.2651 | − | 6.82942i | 1.18052 | − | 0.249875i | ||||
\(748\) | −6.83430 | − | 5.21744i | −0.249887 | − | 0.190769i | ||||
\(749\) | −2.45457 | + | 4.25145i | −0.0896882 | + | 0.155345i | ||||
\(750\) | 18.1572 | − | 34.5788i | 0.663008 | − | 1.26264i | ||||
\(751\) | 1.76786 | − | 1.02067i | 0.0645101 | − | 0.0372449i | −0.467398 | − | 0.884047i | \(-0.654808\pi\) |
0.531908 | + | 0.846802i | \(0.321475\pi\) | |||||||
\(752\) | 22.9389 | − | 23.1661i | 0.836496 | − | 0.844780i | ||||
\(753\) | −1.42216 | − | 3.70958i | −0.0518264 | − | 0.135185i | ||||
\(754\) | 5.01926 | + | 5.70917i | 0.182791 | + | 0.207916i | ||||
\(755\) | − | 31.2129i | − | 1.13595i | ||||||
\(756\) | −4.48511 | − | 9.37463i | −0.163122 | − | 0.340952i | ||||
\(757\) | 35.5941i | 1.29369i | 0.762622 | + | 0.646845i | \(0.223912\pi\) | ||||
−0.762622 | + | 0.646845i | \(0.776088\pi\) | |||||||
\(758\) | 37.0506 | − | 32.5734i | 1.34574 | − | 1.18312i | ||||
\(759\) | −9.16775 | − | 23.9133i | −0.332768 | − | 0.867996i | ||||
\(760\) | 30.8039 | − | 63.0505i | 1.11738 | − | 2.28708i | ||||
\(761\) | −42.4648 | + | 24.5171i | −1.53935 | + | 0.888743i | −0.540472 | + | 0.841362i | \(0.681754\pi\) |
−0.998877 | + | 0.0473814i | \(0.984912\pi\) | |||||||
\(762\) | 26.8715 | + | 14.1102i | 0.973452 | + | 0.511157i | ||||
\(763\) | −2.24590 | + | 3.89002i | −0.0813071 | + | 0.140828i | ||||
\(764\) | 6.65363 | + | 5.07951i | 0.240720 | + | 0.183770i | ||||
\(765\) | 5.37471 | − | 16.4938i | 0.194323 | − | 0.596335i | ||||
\(766\) | −4.26932 | − | 1.44338i | −0.154257 | − | 0.0521513i | ||||
\(767\) | −3.94344 | + | 6.83023i | −0.142389 | + | 0.246625i | ||||
\(768\) | 27.4113 | + | 4.07698i | 0.989119 | + | 0.147115i | ||||
\(769\) | −0.499248 | − | 0.864723i | −0.0180034 | − | 0.0311827i | 0.856883 | − | 0.515510i | \(-0.172398\pi\) |
−0.874887 | + | 0.484328i | \(0.839064\pi\) | |||||||
\(770\) | −2.93641 | − | 14.6679i | −0.105821 | − | 0.528593i | ||||
\(771\) | 17.9348 | − | 22.1283i | 0.645906 | − | 0.796933i | ||||
\(772\) | 15.5801 | − | 6.49849i | 0.560739 | − | 0.233886i | ||||
\(773\) | 34.0335 | 1.22410 | 0.612051 | − | 0.790818i | \(-0.290345\pi\) | ||||
0.612051 | + | 0.790818i | \(0.290345\pi\) | |||||||
\(774\) | 33.4231 | + | 24.9385i | 1.20137 | + | 0.896395i | ||||
\(775\) | 77.4796i | 2.78315i | ||||||||
\(776\) | 28.5867 | − | 1.97979i | 1.02620 | − | 0.0710704i | ||||
\(777\) | −1.72722 | + | 10.8752i | −0.0619637 | + | 0.390147i | ||||
\(778\) | −2.00523 | − | 10.0165i | −0.0718909 | − | 0.359107i | ||||
\(779\) | −27.0358 | + | 15.6091i | −0.968659 | + | 0.559255i | ||||
\(780\) | −3.63045 | + | 12.3485i | −0.129991 | + | 0.442149i | ||||
\(781\) | −2.04216 | − | 1.17904i | −0.0730744 | − | 0.0421895i | ||||
\(782\) | 3.66117 | − | 10.8293i | 0.130923 | − | 0.387254i | ||||
\(783\) | 15.4124 | + | 23.7995i | 0.550793 | + | 0.850527i | ||||
\(784\) | −1.05430 | − | 3.85856i | −0.0376536 | − | 0.137806i | ||||
\(785\) | −22.6006 | − | 13.0485i | −0.806650 | − | 0.465719i | ||||
\(786\) | 0.626331 | + | 15.6204i | 0.0223405 | + | 0.557162i | ||||
\(787\) | 0.323547 | + | 0.560399i | 0.0115332 | + | 0.0199761i | 0.871734 | − | 0.489979i | \(-0.162995\pi\) |
−0.860201 | + | 0.509955i | \(0.829662\pi\) | |||||||
\(788\) | −3.28025 | + | 25.3993i | −0.116854 | + | 0.904814i | ||||
\(789\) | −0.0374465 | + | 0.235777i | −0.00133313 | + | 0.00839389i | ||||
\(790\) | 47.8353 | + | 54.4103i | 1.70190 | + | 1.93583i | ||||
\(791\) | −8.44762 | −0.300363 | ||||||||
\(792\) | 17.0917 | + | 16.5556i | 0.607329 | + | 0.588277i | ||||
\(793\) | 8.04145 | 0.285560 | ||||||||
\(794\) | 4.92790 | + | 5.60525i | 0.174885 | + | 0.198923i | ||||
\(795\) | −0.0265696 | − | 0.0215344i | −0.000942326 | − | 0.000763746i | ||||
\(796\) | −20.0146 | − | 2.58483i | −0.709400 | − | 0.0916168i | ||||
\(797\) | 2.67150 | + | 4.62717i | 0.0946293 | + | 0.163903i | 0.909454 | − | 0.415805i | \(-0.136500\pi\) |
−0.814825 | + | 0.579708i | \(0.803167\pi\) | |||||||
\(798\) | 13.6192 | − | 8.60840i | 0.482113 | − | 0.304734i | ||||
\(799\) | 10.8209 | + | 6.24744i | 0.382815 | + | 0.221019i | ||||
\(800\) | −3.09298 | + | 52.1052i | −0.109353 | + | 1.84220i | ||||
\(801\) | 0.672967 | + | 0.748689i | 0.0237781 | + | 0.0264536i | ||||
\(802\) | 7.00914 | − | 20.7321i | 0.247501 | − | 0.732077i | ||||
\(803\) | −33.7981 | − | 19.5134i | −1.19271 | − | 0.688612i | ||||
\(804\) | 16.7277 | − | 15.9389i | 0.589941 | − | 0.562122i | ||||
\(805\) | 17.2235 | − | 9.94399i | 0.607048 | − | 0.350479i | ||||
\(806\) | −2.29623 | − | 11.4701i | −0.0808814 | − | 0.404017i | ||||
\(807\) | −25.7274 | + | 9.86325i | −0.905648 | + | 0.347203i | ||||
\(808\) | 32.2291 | − | 2.23205i | 1.13381 | − | 0.0785233i | ||||
\(809\) | − | 14.2977i | − | 0.502682i | −0.967899 | − | 0.251341i | \(-0.919129\pi\) | ||
0.967899 | − | 0.251341i | \(-0.0808715\pi\) | |||||||
\(810\) | −20.1198 | + | 43.5890i | −0.706938 | + | 1.53156i | ||||
\(811\) | −22.3167 | −0.783645 | −0.391822 | − | 0.920041i | \(-0.628155\pi\) | ||||
−0.391822 | + | 0.920041i | \(0.628155\pi\) | |||||||
\(812\) | 4.20126 | + | 10.0725i | 0.147435 | + | 0.353474i | ||||
\(813\) | 1.57931 | + | 4.11950i | 0.0553890 | + | 0.144477i | ||||
\(814\) | −4.94930 | − | 24.7226i | −0.173473 | − | 0.866527i | ||||
\(815\) | 28.4860 | + | 49.3391i | 0.997820 | + | 1.72827i | ||||
\(816\) | 1.15775 | + | 10.5579i | 0.0405295 | + | 0.369602i | ||||
\(817\) | −32.3261 | + | 55.9904i | −1.13095 | + | 1.95886i | ||||
\(818\) | 32.5146 | + | 10.9926i | 1.13685 | + | 0.384346i | ||||
\(819\) | −2.19783 | + | 1.97555i | −0.0767986 | + | 0.0690313i | ||||
\(820\) | 21.7261 | − | 28.4589i | 0.758709 | − | 0.993830i | ||||
\(821\) | −19.5730 | + | 33.9015i | −0.683103 | + | 1.18317i | 0.290925 | + | 0.956746i | \(0.406037\pi\) |
−0.974029 | + | 0.226424i | \(0.927296\pi\) | |||||||
\(822\) | 11.0837 | − | 7.00576i | 0.386587 | − | 0.244354i | ||||
\(823\) | 11.4224 | − | 6.59472i | 0.398160 | − | 0.229877i | −0.287530 | − | 0.957772i | \(-0.592834\pi\) |
0.685690 | + | 0.727894i | \(0.259501\pi\) | |||||||
\(824\) | 22.1041 | + | 10.7992i | 0.770033 | + | 0.376207i | ||||
\(825\) | −28.2199 | + | 34.8183i | −0.982491 | + | 1.21222i | ||||
\(826\) | −8.50370 | + | 7.47610i | −0.295882 | + | 0.260127i | ||||
\(827\) | 18.9006i | 0.657237i | 0.944463 | + | 0.328619i | \(0.106583\pi\) | ||||
−0.944463 | + | 0.328619i | \(0.893417\pi\) | |||||||
\(828\) | −13.5736 | + | 28.5761i | −0.471717 | + | 0.993089i | ||||
\(829\) | 22.6130i | 0.785381i | 0.919671 | + | 0.392691i | \(0.128456\pi\) | ||||
−0.919671 | + | 0.392691i | \(0.871544\pi\) | |||||||
\(830\) | −38.7192 | − | 44.0412i | −1.34396 | − | 1.52869i | ||||
\(831\) | 44.7267 | + | 7.10356i | 1.55155 | + | 0.246420i | ||||
\(832\) | −1.08634 | − | 7.80533i | −0.0376620 | − | 0.270601i | ||||
\(833\) | 1.32765 | − | 0.766521i | 0.0460004 | − | 0.0265584i | ||||
\(834\) | 46.0940 | − | 1.84823i | 1.59611 | − | 0.0639990i | ||||
\(835\) | −3.56626 | + | 6.17694i | −0.123415 | + | 0.213762i | ||||
\(836\) | −22.3856 | + | 29.3228i | −0.774223 | + | 1.01415i | ||||
\(837\) | −2.22777 | − | 43.5745i | −0.0770031 | − | 1.50615i | ||||
\(838\) | 15.0423 | − | 44.4931i | 0.519626 | − | 1.53699i | ||||
\(839\) | 17.0984 | − | 29.6154i | 0.590304 | − | 1.02244i | −0.403888 | − | 0.914809i | \(-0.632341\pi\) |
0.994191 | − | 0.107627i | \(-0.0343253\pi\) | |||||||
\(840\) | −10.6154 | + | 15.1250i | −0.366264 | + | 0.521864i | ||||
\(841\) | −0.388146 | − | 0.672288i | −0.0133843 | − | 0.0231823i | ||||
\(842\) | −14.8446 | + | 2.97180i | −0.511580 | + | 0.102415i | ||||
\(843\) | −33.4341 | − | 5.31005i | −1.15153 | − | 0.182888i | ||||
\(844\) | 3.95066 | − | 1.64783i | 0.135987 | − | 0.0567207i | ||||
\(845\) | −45.3745 | −1.56093 | ||||||||
\(846\) | −27.7145 | − | 20.6790i | −0.952845 | − | 0.710960i | ||||
\(847\) | − | 3.13590i | − | 0.107751i | ||||||
\(848\) | 0.0202527 | + | 0.00531988i | 0.000695481 | + | 0.000182686i | ||||
\(849\) | 23.0397 | + | 18.6735i | 0.790722 | + | 0.640872i | ||||
\(850\) | −19.6158 | + | 3.92695i | −0.672817 | + | 0.134693i | ||||
\(851\) | 29.0301 | − | 16.7606i | 0.995140 | − | 0.574544i | ||||
\(852\) | 0.685774 | + | 2.83103i | 0.0234942 | + | 0.0969895i | ||||
\(853\) | 25.7709 | + | 14.8788i | 0.882379 | + | 0.509442i | 0.871442 | − | 0.490498i | \(-0.163185\pi\) |
0.0109369 | + | 0.999940i | \(0.496519\pi\) | |||||||
\(854\) | 10.9366 | + | 3.69745i | 0.374242 | + | 0.126524i | ||||
\(855\) | −70.7672 | − | 23.0604i | −2.42019 | − | 0.788648i | ||||
\(856\) | −11.5165 | + | 7.75680i | −0.393626 | + | 0.265122i | ||||
\(857\) | 5.16613 | + | 2.98266i | 0.176471 | + | 0.101886i | 0.585634 | − | 0.810576i | \(-0.300846\pi\) |
−0.409162 | + | 0.912462i | \(0.634179\pi\) | |||||||
\(858\) | 3.14578 | − | 5.99085i | 0.107395 | − | 0.204524i | ||||
\(859\) | 27.4126 | + | 47.4800i | 0.935305 | + | 1.62000i | 0.774089 | + | 0.633077i | \(0.218208\pi\) |
0.161217 | + | 0.986919i | \(0.448458\pi\) | |||||||
\(860\) | 9.49728 | − | 73.5386i | 0.323855 | − | 2.50764i | ||||
\(861\) | 7.67586 | − | 2.94273i | 0.261593 | − | 0.100288i | ||||
\(862\) | −18.9991 | + | 16.7032i | −0.647112 | + | 0.568913i | ||||
\(863\) | −49.3401 | −1.67956 | −0.839778 | − | 0.542929i | \(-0.817315\pi\) | ||||
−0.839778 | + | 0.542929i | \(0.817315\pi\) | |||||||
\(864\) | 0.241306 | − | 29.3929i | 0.00820939 | − | 0.999966i | ||||
\(865\) | −57.1227 | −1.94223 | ||||||||
\(866\) | −24.2241 | + | 21.2969i | −0.823170 | + | 0.723697i | ||||
\(867\) | 23.6927 | − | 9.08319i | 0.804646 | − | 0.308481i | ||||
\(868\) | 2.15100 | − | 16.6554i | 0.0730095 | − | 0.565322i | ||||
\(869\) | −19.0435 | − | 32.9842i | −0.646005 | − | 1.11891i | ||||
\(870\) | 23.4386 | − | 44.6367i | 0.794643 | − | 1.51332i | ||||
\(871\) | −5.69014 | − | 3.28521i | −0.192803 | − | 0.111315i | ||||
\(872\) | −10.5375 | + | 7.09737i | −0.356843 | + | 0.240347i | ||||
\(873\) | −6.29379 | − | 29.7346i | −0.213013 | − | 1.00636i | ||||
\(874\) | −46.4633 | − | 15.7084i | −1.57165 | − | 0.531344i | ||||
\(875\) | −13.8084 | − | 7.97228i | −0.466809 | − | 0.269512i | ||||
\(876\) | 11.3497 | + | 46.8540i | 0.383469 | + | 1.58305i | ||||
\(877\) | 16.0741 | − | 9.28039i | 0.542784 | − | 0.313376i | −0.203423 | − | 0.979091i | \(-0.565207\pi\) |
0.746206 | + | 0.665715i | \(0.231873\pi\) | |||||||
\(878\) | −20.1085 | + | 4.02558i | −0.678628 | + | 0.135857i | ||||
\(879\) | 10.8551 | + | 8.79792i | 0.366132 | + | 0.296746i | ||||
\(880\) | 10.7492 | − | 40.9219i | 0.362354 | − | 1.37948i | ||||
\(881\) | − | 6.96036i | − | 0.234501i | −0.993102 | − | 0.117250i | \(-0.962592\pi\) | ||
0.993102 | − | 0.117250i | \(-0.0374080\pi\) | |||||||
\(882\) | −3.89747 | + | 1.67623i | −0.131234 | + | 0.0564418i | ||||
\(883\) | −4.48837 | −0.151046 | −0.0755228 | − | 0.997144i | \(-0.524063\pi\) | ||||
−0.0755228 | + | 0.997144i | \(0.524063\pi\) | |||||||
\(884\) | 2.78754 | − | 1.16269i | 0.0937553 | − | 0.0391056i | ||||
\(885\) | 51.6593 | + | 8.20460i | 1.73651 | + | 0.275795i | ||||
\(886\) | −52.4964 | + | 10.5094i | −1.76365 | + | 0.353071i | ||||
\(887\) | −17.7337 | − | 30.7156i | −0.595439 | − | 1.03133i | −0.993485 | − | 0.113965i | \(-0.963645\pi\) |
0.398046 | − | 0.917366i | \(-0.369688\pi\) | |||||||
\(888\) | −17.8921 | + | 25.4932i | −0.600421 | + | 0.855496i | ||||
\(889\) | 6.19534 | − | 10.7306i | 0.207785 | − | 0.359894i | ||||
\(890\) | 0.573282 | − | 1.69569i | 0.0192165 | − | 0.0568398i | ||||
\(891\) | 14.8697 | − | 20.3932i | 0.498155 | − | 0.683199i | ||||
\(892\) | −27.7128 | + | 36.3008i | −0.927892 | + | 1.21544i | ||||
\(893\) | 26.8049 | − | 46.4274i | 0.896990 | − | 1.55363i | ||||
\(894\) | 8.58768 | − | 0.344340i | 0.287215 | − | 0.0115165i | ||||
\(895\) | −42.9473 | + | 24.7956i | −1.43557 | + | 0.828827i | ||||
\(896\) | 2.11143 | − | 11.1149i | 0.0705380 | − | 0.371324i | ||||
\(897\) | 8.88483 | + | 1.41110i | 0.296656 | + | 0.0471153i | ||||
\(898\) | 6.90608 | + | 7.85534i | 0.230459 | + | 0.262136i | ||||
\(899\) | 45.8197i | 1.52817i | ||||||||
\(900\) | 55.1855 | − | 4.43267i | 1.83952 | − | 0.147756i | ||||
\(901\) | 0.00802538i | 0.000267364i | ||||||||
\(902\) | −14.1364 | + | 12.4281i | −0.470690 | + | 0.413811i | ||||
\(903\) | 10.7196 | − | 13.2261i | 0.356726 | − | 0.440136i | ||||
\(904\) | −21.4683 | − | 10.4885i | −0.714025 | − | 0.348844i | ||||
\(905\) | 42.7369 | − | 24.6741i | 1.42062 | − | 0.820196i | ||||
\(906\) | 17.1341 | − | 10.8301i | 0.569241 | − | 0.359806i | ||||
\(907\) | −9.48856 | + | 16.4347i | −0.315062 | + | 0.545704i | −0.979451 | − | 0.201683i | \(-0.935359\pi\) |
0.664388 | + | 0.747388i | \(0.268692\pi\) | |||||||
\(908\) | −24.2955 | + | 31.8246i | −0.806275 | + | 1.05614i | ||||
\(909\) | −7.09572 | − | 33.5232i | −0.235350 | − | 1.11190i | ||||
\(910\) | 4.97784 | + | 1.68291i | 0.165014 | + | 0.0557881i | ||||
\(911\) | −8.19874 | + | 14.2006i | −0.271636 | + | 0.470488i | −0.969281 | − | 0.245956i | \(-0.920898\pi\) |
0.697645 | + | 0.716444i | \(0.254231\pi\) | |||||||
\(912\) | 45.2992 | − | 4.96739i | 1.50001 | − | 0.164487i | ||||
\(913\) | 15.4143 | + | 26.6983i | 0.510139 | + | 0.883586i | ||||
\(914\) | −9.86013 | − | 49.2530i | −0.326144 | − | 1.62915i | ||||
\(915\) | −19.0912 | − | 49.7978i | −0.631137 | − | 1.64627i | ||||
\(916\) | −20.5855 | − | 49.3534i | −0.680162 | − | 1.63068i | ||||
\(917\) | 6.38213 | 0.210757 | ||||||||
\(918\) | 10.9190 | − | 2.77253i | 0.360381 | − | 0.0915071i | ||||
\(919\) | − | 3.11937i | − | 0.102899i | −0.998676 | − | 0.0514493i | \(-0.983616\pi\) | ||
0.998676 | − | 0.0514493i | \(-0.0163841\pi\) | |||||||
\(920\) | 56.1173 | − | 3.88645i | 1.85013 | − | 0.128132i | ||||
\(921\) | 11.5677 | − | 4.43475i | 0.381167 | − | 0.146130i | ||||
\(922\) | −7.81707 | − | 39.0476i | −0.257441 | − | 1.28596i | ||||
\(923\) | 0.717354 | − | 0.414165i | 0.0236120 | − | 0.0136324i | ||||
\(924\) | 7.03293 | − | 6.70128i | 0.231366 | − | 0.220456i | ||||
\(925\) | −50.8029 | − | 29.3311i | −1.67039 | − | 0.964399i | ||||
\(926\) | −15.3446 | + | 45.3874i | −0.504255 | + | 1.49152i | ||||
\(927\) | 8.08446 | − | 24.8094i | 0.265528 | − | 0.814848i | ||||
\(928\) | −1.82912 | + | 30.8139i | −0.0600437 | + | 1.01152i | ||||
\(929\) | 9.56436 | + | 5.52199i | 0.313797 | + | 0.181171i | 0.648624 | − | 0.761109i | \(-0.275345\pi\) |
−0.334828 | + | 0.942279i | \(0.608678\pi\) | |||||||
\(930\) | −65.5786 | + | 41.4509i | −2.15041 | + | 1.35923i | ||||
\(931\) | −3.28878 | − | 5.69634i | −0.107786 | − | 0.186690i | ||||
\(932\) | 43.9458 | + | 5.67546i | 1.43949 | + | 0.185906i | ||||
\(933\) | −1.17353 | − | 0.951135i | −0.0384197 | − | 0.0311387i | ||||
\(934\) | −0.212645 | − | 0.241874i | −0.00695797 | − | 0.00791435i | ||||
\(935\) | 16.2158 | 0.530313 | ||||||||
\(936\) | −8.03829 | + | 2.29172i | −0.262740 | + | 0.0749074i | ||||
\(937\) | −12.0261 | −0.392875 | −0.196438 | − | 0.980516i | \(-0.562937\pi\) | ||||
−0.196438 | + | 0.980516i | \(0.562937\pi\) | |||||||
\(938\) | −6.22820 | − | 7.08428i | −0.203358 | − | 0.231310i | ||||
\(939\) | −6.65756 | + | 41.9185i | −0.217261 | + | 1.36796i | ||||
\(940\) | −7.87517 | + | 60.9784i | −0.256860 | + | 1.98890i | ||||
\(941\) | −11.9730 | − | 20.7378i | −0.390308 | − | 0.676034i | 0.602182 | − | 0.798359i | \(-0.294298\pi\) |
−0.992490 | + | 0.122325i | \(0.960965\pi\) | |||||||
\(942\) | −0.678997 | − | 16.9339i | −0.0221229 | − | 0.551735i | ||||
\(943\) | −21.6723 | − | 12.5125i | −0.705747 | − | 0.407463i | ||||
\(944\) | −30.8932 | + | 8.44116i | −1.00549 | + | 0.274737i | ||||
\(945\) | 17.4518 | + | 8.92024i | 0.567706 | + | 0.290175i | ||||
\(946\) | −12.4847 | + | 36.9280i | −0.405912 | + | 1.20063i | ||||
\(947\) | 13.6235 | + | 7.86551i | 0.442703 | + | 0.255595i | 0.704744 | − | 0.709462i | \(-0.251062\pi\) |
−0.262040 | + | 0.965057i | \(0.584395\pi\) | |||||||
\(948\) | −13.2704 | + | 45.1377i | −0.431004 | + | 1.46601i | ||||
\(949\) | 11.8723 | − | 6.85449i | 0.385392 | − | 0.222506i | ||||
\(950\) | 16.8487 | + | 84.1623i | 0.546645 | + | 2.73059i | ||||
\(951\) | 0.605646 | − | 3.81338i | 0.0196394 | − | 0.123657i | ||||
\(952\) | 4.32573 | − | 0.299582i | 0.140198 | − | 0.00970952i | ||||
\(953\) | 24.0024i | 0.777515i | 0.921340 | + | 0.388757i | \(0.127096\pi\) | ||||
−0.921340 | + | 0.388757i | \(0.872904\pi\) | |||||||
\(954\) | 0.00260214 | − | 0.0220570i | 8.42473e−5 | − | 0.000714122i | ||||
\(955\) | −15.7871 | −0.510859 | ||||||||
\(956\) | 29.1751 | − | 12.1690i | 0.943591 | − | 0.393574i | ||||
\(957\) | −16.6886 | + | 20.5908i | −0.539467 | + | 0.665606i | ||||
\(958\) | −1.81674 | − | 9.07491i | −0.0586961 | − | 0.293197i | ||||
\(959\) | −2.67650 | − | 4.63584i | −0.0864288 | − | 0.149699i | ||||
\(960\) | −45.7565 | + | 25.2580i | −1.47678 | + | 0.815197i | ||||
\(961\) | 19.7537 | − | 34.2144i | 0.637216 | − | 1.10369i | ||||
\(962\) | 8.39014 | + | 2.83655i | 0.270509 | + | 0.0914539i | ||||
\(963\) | 9.84525 | + | 10.9530i | 0.317259 | + | 0.352956i | ||||
\(964\) | 15.6079 | + | 11.9154i | 0.502697 | + | 0.383769i | ||||
\(965\) | −15.9184 | + | 27.5714i | −0.512430 | + | 0.887555i | ||||
\(966\) | 11.4348 | + | 6.00437i | 0.367908 | + | 0.193187i | ||||
\(967\) | −42.2386 | + | 24.3865i | −1.35830 | + | 0.784216i | −0.989395 | − | 0.145251i | \(-0.953601\pi\) |
−0.368907 | + | 0.929466i | \(0.620268\pi\) | |||||||
\(968\) | 3.89352 | − | 7.96940i | 0.125143 | − | 0.256146i | ||||
\(969\) | 6.25211 | + | 16.3081i | 0.200847 | + | 0.523891i | ||||
\(970\) | −40.5871 | + | 35.6825i | −1.30317 | + | 1.14570i | ||||
\(971\) | 16.9946i | 0.545382i | 0.962102 | + | 0.272691i | \(0.0879137\pi\) | ||||
−0.962102 | + | 0.272691i | \(0.912086\pi\) | |||||||
\(972\) | −30.9088 | + | 4.07968i | −0.991401 | + | 0.130856i | ||||
\(973\) | − | 18.8329i | − | 0.603756i | ||||||
\(974\) | 12.5882 | + | 14.3185i | 0.403351 | + | 0.458793i | ||||
\(975\) | −5.63566 | − | 14.7001i | −0.180485 | − | 0.470780i | ||||
\(976\) | 23.2029 | + | 22.9753i | 0.742706 | + | 0.735422i | ||||
\(977\) | −17.8888 | + | 10.3281i | −0.572315 | + | 0.330426i | −0.758073 | − | 0.652169i | \(-0.773859\pi\) |
0.185759 | + | 0.982595i | \(0.440526\pi\) | |||||||
\(978\) | −17.2004 | + | 32.7565i | −0.550007 | + | 1.04744i | ||||
\(979\) | −0.470509 | + | 0.814946i | −0.0150375 | + | 0.0260458i | ||||
\(980\) | 5.99619 | + | 4.57761i | 0.191541 | + | 0.146226i | ||||
\(981\) | 9.00827 | + | 10.0219i | 0.287612 | + | 0.319974i | ||||
\(982\) | 5.89729 | − | 17.4434i | 0.188190 | − | 0.556642i | ||||
\(983\) | −16.6473 | + | 28.8341i | −0.530968 | + | 0.919663i | 0.468379 | + | 0.883528i | \(0.344838\pi\) |
−0.999347 | + | 0.0361358i | \(0.988495\pi\) | |||||||
\(984\) | 23.1607 | + | 2.05183i | 0.738336 | + | 0.0654100i | ||||
\(985\) | −24.1498 | − | 41.8287i | −0.769478 | − | 1.33277i | ||||
\(986\) | −11.6004 | + | 2.32231i | −0.369431 | + | 0.0739575i | ||||
\(987\) | −8.88872 | + | 10.9671i | −0.282931 | + | 0.349086i | ||||
\(988\) | −4.98857 | − | 11.9601i | −0.158708 | − | 0.380500i | ||||
\(989\) | −51.8261 | −1.64797 | ||||||||
\(990\) | −44.5676 | − | 5.25778i | −1.41645 | − | 0.167103i | ||||
\(991\) | − | 15.8848i | − | 0.504597i | −0.967649 | − | 0.252298i | \(-0.918814\pi\) | ||
0.967649 | − | 0.252298i | \(-0.0811865\pi\) | |||||||
\(992\) | 26.1458 | − | 39.6565i | 0.830128 | − | 1.25909i | ||||
\(993\) | 0.301315 | − | 1.89719i | 0.00956194 | − | 0.0602056i | ||||
\(994\) | 1.16605 | − | 0.233436i | 0.0369849 | − | 0.00740413i | ||||
\(995\) | 32.9610 | − | 19.0300i | 1.04493 | − | 0.603292i | ||||
\(996\) | 10.7415 | − | 36.5357i | 0.340356 | − | 1.15768i | ||||
\(997\) | 4.19703 | + | 2.42316i | 0.132921 | + | 0.0767422i | 0.564986 | − | 0.825100i | \(-0.308881\pi\) |
−0.432065 | + | 0.901843i | \(0.642215\pi\) | |||||||
\(998\) | −27.0132 | − | 9.13264i | −0.855087 | − | 0.289089i | ||||
\(999\) | 29.4149 | + | 15.0350i | 0.930645 | + | 0.475688i |
(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 | 504.2.br.a.155.16 | ✓ | 144 | |
8.3 | odd | 2 | inner | 504.2.br.a.155.41 | yes | 144 | |
9.5 | odd | 6 | inner | 504.2.br.a.491.41 | yes | 144 | |
72.59 | even | 6 | inner | 504.2.br.a.491.16 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.br.a.155.16 | ✓ | 144 | 1.1 | even | 1 | trivial | |
504.2.br.a.155.41 | yes | 144 | 8.3 | odd | 2 | inner | |
504.2.br.a.491.16 | yes | 144 | 72.59 | even | 6 | inner | |
504.2.br.a.491.41 | yes | 144 | 9.5 | odd | 6 | inner |