Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [560,2,Mod(17,560)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(560, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("560.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 560 = 2^{4} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 560.ci (of order \(12\), degree \(4\), not 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: | \(4.47162251319\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 280) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 17.3 | ||
Character | \(\chi\) | \(=\) | 560.17 |
Dual form | 560.2.ci.e.33.3 |
$q$-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 \(\left(\mathbb{Z}/560\mathbb{Z}\right)^\times\).
\(n\) | \(241\) | \(337\) | \(351\) | \(421\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −2.19810 | + | 0.588978i | −1.26907 | + | 0.340047i | −0.829675 | − | 0.558247i | \(-0.811474\pi\) |
−0.439396 | + | 0.898293i | \(0.644808\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.19880 | − | 1.88756i | −0.536120 | − | 0.844142i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.40409 | − | 2.24244i | −0.530694 | − | 0.847563i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.88665 | − | 1.08926i | 0.628884 | − | 0.363086i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.78866 | + | 3.09805i | −0.539301 | + | 0.934096i | 0.459641 | + | 0.888105i | \(0.347978\pi\) |
−0.998942 | + | 0.0459913i | \(0.985355\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.13432 | + | 3.13432i | 0.869305 | + | 0.869305i | 0.992395 | − | 0.123090i | \(-0.0392804\pi\) |
−0.123090 | + | 0.992395i | \(0.539280\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.74681 | + | 3.44296i | 0.967422 | + | 0.888970i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.34033 | − | 5.00217i | −0.325077 | − | 1.21320i | −0.914234 | − | 0.405186i | \(-0.867207\pi\) |
0.589157 | − | 0.808019i | \(-0.299460\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.687063 | + | 1.19003i | 0.157623 | + | 0.273011i | 0.934011 | − | 0.357244i | \(-0.116284\pi\) |
−0.776388 | + | 0.630255i | \(0.782950\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.40706 | + | 4.10213i | 0.961700 | + | 0.895157i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.00784 | + | 1.07390i | 0.835692 | + | 0.223923i | 0.651195 | − | 0.758910i | \(-0.274268\pi\) |
0.184497 | + | 0.982833i | \(0.440935\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.12575 | + | 4.52561i | −0.425150 | + | 0.905123i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.32186 | − | 1.32186i | 0.254392 | − | 0.254392i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 9.39599i | 1.74479i | 0.488800 | + | 0.872396i | \(0.337435\pi\) | ||||
−0.488800 | + | 0.872396i | \(0.662565\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.08064 | + | 3.51066i | 1.09212 | + | 0.630533i | 0.934139 | − | 0.356910i | \(-0.116170\pi\) |
0.157976 | + | 0.987443i | \(0.449503\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.10696 | − | 7.86328i | 0.366775 | − | 1.36882i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −2.54952 | + | 5.33854i | −0.430947 | + | 0.902377i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.68631 | + | 6.29340i | −0.277228 | + | 1.03463i | 0.677105 | + | 0.735886i | \(0.263234\pi\) |
−0.954334 | + | 0.298743i | \(0.903433\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −8.73559 | − | 5.04350i | −1.39881 | − | 0.807606i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.63297i | 0.723549i | 0.932266 | + | 0.361774i | \(0.117829\pi\) | ||||
−0.932266 | + | 0.361774i | \(0.882171\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.51561 | + | 2.51561i | −0.383626 | + | 0.383626i | −0.872407 | − | 0.488780i | \(-0.837442\pi\) |
0.488780 | + | 0.872407i | \(0.337442\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −4.31776 | − | 2.25536i | −0.643654 | − | 0.336209i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −8.76422 | − | 2.34837i | −1.27839 | − | 0.342544i | −0.445153 | − | 0.895455i | \(-0.646851\pi\) |
−0.833241 | + | 0.552910i | \(0.813517\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.05709 | + | 6.29716i | −0.436727 | + | 0.899594i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 5.89234 | + | 10.2058i | 0.825092 | + | 1.42910i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.470788 | − | 1.75701i | −0.0646678 | − | 0.241343i | 0.926025 | − | 0.377463i | \(-0.123203\pi\) |
−0.990692 | + | 0.136120i | \(0.956537\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 7.99199 | − | 0.337748i | 1.07764 | − | 0.0455419i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.21113 | − | 2.21113i | −0.292871 | − | 0.292871i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.42161 | − | 2.46230i | 0.185078 | − | 0.320565i | −0.758525 | − | 0.651644i | \(-0.774080\pi\) |
0.943603 | + | 0.331080i | \(0.107413\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.91951 | − | 1.10823i | 0.245769 | − | 0.141895i | −0.372057 | − | 0.928210i | \(-0.621347\pi\) |
0.617825 | + | 0.786315i | \(0.288014\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −5.09162 | − | 2.70129i | −0.641484 | − | 0.340331i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.15879 | − | 9.67365i | 0.267764 | − | 1.19987i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.37975 | − | 1.17355i | 0.535072 | − | 0.143372i | 0.0188425 | − | 0.999822i | \(-0.494002\pi\) |
0.516229 | + | 0.856450i | \(0.327335\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −9.44211 | −1.13670 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 10.5787 | 1.25546 | 0.627731 | − | 0.778430i | \(-0.283984\pi\) | ||||
0.627731 | + | 0.778430i | \(0.283984\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.44309 | − | 0.654624i | 0.285942 | − | 0.0766179i | −0.112997 | − | 0.993595i | \(-0.536045\pi\) |
0.398939 | + | 0.916977i | \(0.369378\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 2.00711 | − | 11.1998i | 0.231761 | − | 1.29324i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 9.45862 | − | 0.338961i | 1.07791 | − | 0.0386282i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.82403 | − | 2.78515i | 0.542745 | − | 0.313354i | −0.203446 | − | 0.979086i | \(-0.565214\pi\) |
0.746191 | + | 0.665732i | \(0.231881\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −5.39481 | + | 9.34408i | −0.599423 | + | 1.03823i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −0.863341 | − | 0.863341i | −0.0947640 | − | 0.0947640i | 0.658136 | − | 0.752899i | \(-0.271345\pi\) |
−0.752899 | + | 0.658136i | \(0.771345\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.83510 | + | 8.52656i | −0.849836 | + | 0.924835i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −5.53403 | − | 20.6533i | −0.593311 | − | 2.21427i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0.430347 | + | 0.745382i | 0.0456167 | + | 0.0790104i | 0.887932 | − | 0.459974i | \(-0.152141\pi\) |
−0.842316 | + | 0.538985i | \(0.818808\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.62768 | − | 11.4294i | 0.275456 | − | 1.19813i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −15.4335 | − | 4.13540i | −1.60038 | − | 0.428821i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.42259 | − | 2.72348i | 0.145955 | − | 0.279423i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 12.6320 | − | 12.6320i | 1.28258 | − | 1.28258i | 0.343390 | − | 0.939193i | \(-0.388425\pi\) |
0.939193 | − | 0.343390i | \(-0.111575\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 7.79325i | 0.783251i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −10.2545 | − | 5.92042i | −1.02036 | − | 0.589103i | −0.106150 | − | 0.994350i | \(-0.533852\pi\) |
−0.914207 | + | 0.405247i | \(0.867186\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.95903 | + | 18.5073i | −0.488627 | + | 1.82358i | 0.0745114 | + | 0.997220i | \(0.476260\pi\) |
−0.563139 | + | 0.826362i | \(0.690406\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.45980 | − | 13.2362i | 0.240052 | − | 1.29172i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −1.91825 | + | 7.15899i | −0.185444 | + | 0.692086i | 0.809091 | + | 0.587683i | \(0.199960\pi\) |
−0.994535 | + | 0.104403i | \(0.966707\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.66475 | − | 2.11584i | −0.351019 | − | 0.202661i | 0.314115 | − | 0.949385i | \(-0.398292\pi\) |
−0.665134 | + | 0.746724i | \(0.731626\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 14.8267i | − | 1.40729i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 8.21616 | − | 8.21616i | 0.772911 | − | 0.772911i | −0.205703 | − | 0.978614i | \(-0.565948\pi\) |
0.978614 | + | 0.205703i | \(0.0659481\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.77756 | − | 8.85242i | −0.259009 | − | 0.825492i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 9.32747 | + | 2.49929i | 0.862325 | + | 0.231059i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −9.33514 | + | 10.0291i | −0.855751 | + | 0.919364i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.898593 | − | 1.55641i | −0.0816903 | − | 0.141492i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −2.72872 | − | 10.1837i | −0.246040 | − | 0.918235i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 11.0907 | − | 1.41284i | 0.991983 | − | 0.126368i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 11.0167 | + | 11.0167i | 0.977572 | + | 0.977572i | 0.999754 | − | 0.0221820i | \(-0.00706134\pi\) |
−0.0221820 | + | 0.999754i | \(0.507061\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 4.04791 | − | 7.01118i | 0.356398 | − | 0.617300i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −11.4510 | + | 6.61125i | −1.00048 | + | 0.577628i | −0.908391 | − | 0.418123i | \(-0.862688\pi\) |
−0.0920903 | + | 0.995751i | \(0.529355\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.70387 | − | 3.21160i | 0.147745 | − | 0.278481i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −4.07974 | − | 0.910439i | −0.351128 | − | 0.0783581i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −18.3797 | + | 4.92483i | −1.57028 | + | 0.420756i | −0.935901 | − | 0.352263i | \(-0.885412\pi\) |
−0.634383 | + | 0.773019i | \(0.718746\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.17884 | −0.184807 | −0.0924034 | − | 0.995722i | \(-0.529455\pi\) | ||||
−0.0924034 | + | 0.995722i | \(0.529455\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 20.6477 | 1.73885 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −15.3165 | + | 4.10405i | −1.28083 | + | 0.343198i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 17.7355 | − | 11.2639i | 1.47285 | − | 0.935419i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 3.01088 | − | 15.6423i | 0.248333 | − | 1.29016i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 1.79894 | − | 1.03862i | 0.147375 | − | 0.0850868i | −0.424499 | − | 0.905428i | \(-0.639550\pi\) |
0.571874 | + | 0.820341i | \(0.306217\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.97729 | + | 5.15681i | −0.242288 | + | 0.419655i | −0.961366 | − | 0.275274i | \(-0.911231\pi\) |
0.719078 | + | 0.694930i | \(0.244565\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −7.97739 | − | 7.97739i | −0.644934 | − | 0.644934i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.662909 | − | 15.6861i | −0.0532462 | − | 1.25994i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.58172 | + | 5.90304i | 0.126235 | + | 0.471114i | 0.999881 | − | 0.0154480i | \(-0.00491745\pi\) |
−0.873646 | + | 0.486562i | \(0.838251\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 2.06968 | + | 3.58478i | 0.164136 | + | 0.284292i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −3.21920 | − | 10.4952i | −0.253708 | − | 0.827137i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −14.9267 | − | 3.99960i | −1.16915 | − | 0.313273i | −0.378536 | − | 0.925587i | \(-0.623572\pi\) |
−0.790615 | + | 0.612313i | \(0.790239\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −17.3682 | + | 5.44951i | −1.35211 | + | 0.424243i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −17.3840 | + | 17.3840i | −1.34521 | + | 1.34521i | −0.454428 | + | 0.890783i | \(0.650156\pi\) |
−0.890783 | + | 0.454428i | \(0.849844\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.64798i | 0.511383i | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.59250 | + | 1.49678i | 0.198253 | + | 0.114462i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1.05374 | + | 3.93262i | −0.0801146 | + | 0.298992i | −0.994344 | − | 0.106205i | \(-0.966130\pi\) |
0.914230 | + | 0.405196i | \(0.132797\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 13.1332 | − | 1.58748i | 0.992774 | − | 0.120002i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.67460 | + | 6.24967i | −0.125870 | + | 0.469754i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −5.28417 | − | 3.05082i | −0.394958 | − | 0.228029i | 0.289348 | − | 0.957224i | \(-0.406561\pi\) |
−0.684306 | + | 0.729195i | \(0.739895\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 23.2896i | 1.73110i | 0.500820 | + | 0.865552i | \(0.333032\pi\) | ||||
−0.500820 | + | 0.865552i | \(0.666968\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −3.56655 | + | 3.56655i | −0.263647 | + | 0.263647i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 13.9007 | − | 4.36153i | 1.02200 | − | 0.320666i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 17.8943 | + | 4.79477i | 1.30856 | + | 0.350629i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −4.82020 | − | 1.10819i | −0.350618 | − | 0.0806089i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 7.78800 | + | 13.4892i | 0.563520 | + | 0.976045i | 0.997186 | + | 0.0749713i | \(0.0238865\pi\) |
−0.433666 | + | 0.901074i | \(0.642780\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.61718 | + | 20.9636i | 0.404333 | + | 1.50899i | 0.805282 | + | 0.592892i | \(0.202014\pi\) |
−0.400949 | + | 0.916100i | \(0.631320\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.952351 | + | 22.5351i | 0.0681993 | + | 1.61377i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −3.09635 | − | 3.09635i | −0.220606 | − | 0.220606i | 0.588148 | − | 0.808753i | \(-0.299857\pi\) |
−0.808753 | + | 0.588148i | \(0.799857\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.426614 | − | 0.738916i | 0.0302418 | − | 0.0523804i | −0.850508 | − | 0.525962i | \(-0.823706\pi\) |
0.880750 | + | 0.473581i | \(0.157039\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −8.93592 | + | 5.15915i | −0.630291 | + | 0.363899i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 21.0700 | − | 13.1928i | 1.47882 | − | 0.925951i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 8.74501 | − | 5.55402i | 0.610778 | − | 0.387909i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 8.73115 | − | 2.33950i | 0.606857 | − | 0.162607i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −4.91568 | −0.340025 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.15723 | 0.355038 | 0.177519 | − | 0.984117i | \(-0.443193\pi\) | ||||
0.177519 | + | 0.984117i | \(0.443193\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −23.2530 | + | 6.23063i | −1.59327 | + | 0.426915i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 7.76406 | + | 1.73264i | 0.529505 | + | 0.118165i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.665290 | − | 18.5647i | −0.0451629 | − | 1.26026i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −4.98459 | + | 2.87785i | −0.336827 | + | 0.194467i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 11.4774 | − | 19.8795i | 0.772054 | − | 1.33724i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.75353 | − | 6.75353i | −0.452250 | − | 0.452250i | 0.443851 | − | 0.896101i | \(-0.353612\pi\) |
−0.896101 | + | 0.443851i | \(0.853612\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.919019 | + | 10.8538i | 0.0612679 | + | 0.723584i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 1.21237 | + | 4.52464i | 0.0804680 | + | 0.300311i | 0.994417 | − | 0.105517i | \(-0.0336498\pi\) |
−0.913949 | + | 0.405828i | \(0.866983\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.17273 | + | 10.6915i | 0.407905 | + | 0.706513i | 0.994655 | − | 0.103256i | \(-0.0329260\pi\) |
−0.586750 | + | 0.809768i | \(0.699593\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −20.5913 | + | 6.31598i | −1.35481 | + | 0.415561i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −20.2083 | − | 5.41480i | −1.32389 | − | 0.354735i | −0.473456 | − | 0.880818i | \(-0.656994\pi\) |
−0.850433 | + | 0.526083i | \(0.823660\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.07389 | + | 19.3582i | 0.396217 | + | 1.26279i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −8.96328 | + | 8.96328i | −0.582227 | + | 0.582227i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 19.5643i | − | 1.26551i | −0.774352 | − | 0.632755i | \(-0.781924\pi\) | ||
0.774352 | − | 0.632755i | \(-0.218076\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.432477 | − | 0.249691i | −0.0278583 | − | 0.0160840i | 0.486006 | − | 0.873955i | \(-0.338453\pi\) |
−0.513864 | + | 0.857871i | \(0.671787\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 4.90334 | − | 18.2995i | 0.314549 | − | 1.17391i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 15.5511 | − | 1.77861i | 0.993523 | − | 0.113632i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.57646 | + | 5.88342i | −0.100308 | + | 0.374353i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 2.40619 | + | 1.38922i | 0.152486 | + | 0.0880380i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 7.14052i | − | 0.450705i | −0.974277 | − | 0.225353i | \(-0.927647\pi\) | ||
0.974277 | − | 0.225353i | \(-0.0723535\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −10.4956 | + | 10.4956i | −0.659855 | + | 0.659855i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 12.2003 | − | 23.3569i | 0.764015 | − | 1.46266i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −7.94408 | − | 2.12861i | −0.495538 | − | 0.132779i | 0.00239046 | − | 0.999997i | \(-0.499239\pi\) |
−0.497928 | + | 0.867218i | \(0.665906\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 16.4803 | − | 5.05502i | 1.02404 | − | 0.314104i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 10.2347 | + | 17.7270i | 0.633510 | + | 1.09727i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 1.44967 | + | 5.41024i | 0.0893905 | + | 0.333610i | 0.996109 | − | 0.0881258i | \(-0.0280877\pi\) |
−0.906719 | + | 0.421736i | \(0.861421\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.75207 | + | 2.99494i | −0.169058 | + | 0.183978i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.38496 | − | 1.38496i | −0.0847580 | − | 0.0847580i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 15.6982 | − | 27.1901i | 0.957136 | − | 1.65781i | 0.227732 | − | 0.973724i | \(-0.426869\pi\) |
0.729403 | − | 0.684084i | \(-0.239798\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.04530 | + | 2.91290i | −0.306480 | + | 0.176946i | −0.645350 | − | 0.763887i | \(-0.723289\pi\) |
0.338870 | + | 0.940833i | \(0.389955\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.955772 | + | 26.6706i | 0.0578460 | + | 1.61418i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −10.2183 | − | 14.6804i | −0.616188 | − | 0.885264i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 14.3005 | − | 3.83179i | 0.859231 | − | 0.230230i | 0.197806 | − | 0.980241i | \(-0.436619\pi\) |
0.661425 | + | 0.750011i | \(0.269952\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 15.2961 | 0.915752 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 4.04511 | 0.241311 | 0.120656 | − | 0.992694i | \(-0.461500\pi\) | ||||
0.120656 | + | 0.992694i | \(0.461500\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.67531 | − | 1.25275i | 0.277918 | − | 0.0744680i | −0.117168 | − | 0.993112i | \(-0.537381\pi\) |
0.395086 | + | 0.918644i | \(0.370715\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.52293 | + | 6.82435i | −0.0902106 | + | 0.404239i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 10.3892 | − | 6.50509i | 0.613253 | − | 0.383983i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.50280 | + | 4.90910i | −0.500165 | + | 0.288770i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −20.3263 | + | 35.2062i | −1.19155 | + | 2.06383i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −1.17671 | − | 1.17671i | −0.0687440 | − | 0.0687440i | 0.671899 | − | 0.740643i | \(-0.265479\pi\) |
−0.740643 | + | 0.671899i | \(0.765479\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.35197 | + | 0.268439i | −0.369826 | + | 0.0156291i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 1.73083 | + | 6.45954i | 0.100433 | + | 0.374820i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 9.19592 | + | 15.9278i | 0.531814 | + | 0.921129i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 9.17323 | + | 2.10897i | 0.528736 | + | 0.121559i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 26.0273 | + | 6.97399i | 1.49523 | + | 0.400645i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −4.39297 | − | 2.29464i | −0.251541 | − | 0.131391i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −11.9756 | + | 11.9756i | −0.683485 | + | 0.683485i | −0.960784 | − | 0.277299i | \(-0.910561\pi\) |
0.277299 | + | 0.960784i | \(0.410561\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 43.6017i | − | 2.48041i | ||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4.47627 | + | 2.58438i | 0.253826 | + | 0.146547i | 0.621515 | − | 0.783402i | \(-0.286518\pi\) |
−0.367689 | + | 0.929949i | \(0.619851\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.64135 | + | 6.12562i | −0.0927748 | + | 0.346240i | −0.996673 | − | 0.0815080i | \(-0.974026\pi\) |
0.903898 | + | 0.427748i | \(0.140693\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 1.00499 | + | 12.8490i | 0.0566250 | + | 0.723962i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −5.34333 | + | 19.9416i | −0.300112 | + | 1.12003i | 0.636961 | + | 0.770896i | \(0.280191\pi\) |
−0.937072 | + | 0.349135i | \(0.886475\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −29.1092 | − | 16.8062i | −1.62980 | − | 0.940967i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 16.8659i | − | 0.941365i | ||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 5.03184 | − | 5.03184i | 0.279979 | − | 0.279979i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −20.8475 | + | 7.52196i | −1.15641 | + | 0.417243i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 9.30165 | + | 2.49237i | 0.514383 | + | 0.137828i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 7.03964 | + | 22.9506i | 0.388108 | + | 1.26531i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.76860 | − | 15.1877i | −0.481966 | − | 0.834790i | 0.517820 | − | 0.855490i | \(-0.326744\pi\) |
−0.999786 | + | 0.0207000i | \(0.993411\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 3.67366 | + | 13.7103i | 0.201316 | + | 0.751320i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −7.46560 | − | 6.86018i | −0.407889 | − | 0.374812i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.90571 | − | 4.90571i | −0.267231 | − | 0.267231i | 0.560752 | − | 0.827984i | \(-0.310512\pi\) |
−0.827984 | + | 0.560752i | \(0.810512\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −13.2208 | + | 22.8990i | −0.718053 | + | 1.24371i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −21.7524 | + | 12.5587i | −1.17796 | + | 0.680094i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.4134 | − | 1.98641i | 0.994231 | − | 0.107256i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 11.3192 | + | 17.8225i | 0.609406 | + | 0.959533i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 10.9188 | − | 2.92569i | 0.586153 | − | 0.157059i | 0.0464585 | − | 0.998920i | \(-0.485206\pi\) |
0.539694 | + | 0.841861i | \(0.318540\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −22.2886 | −1.19308 | −0.596541 | − | 0.802582i | \(-0.703459\pi\) | ||||
−0.596541 | + | 0.802582i | \(0.703459\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 8.28628 | 0.442289 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 16.2032 | − | 4.34163i | 0.862409 | − | 0.231082i | 0.199607 | − | 0.979876i | \(-0.436034\pi\) |
0.662803 | + | 0.748794i | \(0.269367\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −12.6818 | − | 19.9679i | −0.673079 | − | 1.05979i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 14.6126 | − | 27.5431i | 0.773382 | − | 1.45773i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 5.77457 | − | 3.33395i | 0.304770 | − | 0.175959i | −0.339814 | − | 0.940493i | \(-0.610364\pi\) |
0.644584 | + | 0.764534i | \(0.277031\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.55589 | − | 14.8192i | 0.450310 | − | 0.779960i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 2.89188 | + | 2.89188i | 0.151785 | + | 0.151785i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −4.16442 | − | 3.82671i | −0.217976 | − | 0.200299i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.88053 | + | 25.6785i | 0.359161 | + | 1.34041i | 0.875167 | + | 0.483821i | \(0.160752\pi\) |
−0.516006 | + | 0.856585i | \(0.672582\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 5.04651 | + | 8.74081i | 0.262711 | + | 0.455028i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −3.27896 | + | 3.52270i | −0.170235 | + | 0.182890i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 35.8758 | + | 9.61290i | 1.85758 | + | 0.497737i | 0.999866 | − | 0.0163896i | \(-0.00521720\pi\) |
0.857714 | + | 0.514127i | \(0.171884\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −23.5463 | + | 9.63774i | −1.21593 | + | 0.497691i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −29.4501 | + | 29.4501i | −1.51676 | + | 1.51676i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 26.2790i | 1.34986i | 0.737881 | + | 0.674931i | \(0.235827\pi\) | ||||
−0.737881 | + | 0.674931i | \(0.764173\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −30.7043 | − | 17.7271i | −1.57303 | − | 0.908188i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 3.94516 | − | 14.7235i | 0.201588 | − | 0.752337i | −0.788874 | − | 0.614554i | \(-0.789336\pi\) |
0.990463 | − | 0.137783i | \(-0.0439975\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −11.9788 | − | 17.4473i | −0.610497 | − | 0.889199i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −2.00593 | + | 7.48622i | −0.101967 | + | 0.380546i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −12.5156 | − | 7.22588i | −0.634566 | − | 0.366367i | 0.147952 | − | 0.988994i | \(-0.452732\pi\) |
−0.782518 | + | 0.622628i | \(0.786065\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 21.4873i | − | 1.08666i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 21.2766 | − | 21.2766i | 1.07326 | − | 1.07326i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −11.0402 | − | 5.76678i | −0.555492 | − | 0.290158i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −9.90897 | − | 2.65510i | −0.497317 | − | 0.133256i | 0.00143754 | − | 0.999999i | \(-0.499542\pi\) |
−0.498755 | + | 0.866743i | \(0.666209\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −1.85372 | + | 8.06295i | −0.0928018 | + | 0.403652i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 16.9889 | + | 29.4256i | 0.848384 | + | 1.46944i | 0.882650 | + | 0.470031i | \(0.155757\pi\) |
−0.0342665 | + | 0.999413i | \(0.510910\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 8.05515 | + | 30.0622i | 0.401256 | + | 1.49751i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 24.1048 | − | 1.01869i | 1.19778 | − | 0.0506190i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −16.4810 | − | 16.4810i | −0.816934 | − | 0.816934i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.14459 | + | 14.1068i | −0.402724 | + | 0.697538i | −0.994054 | − | 0.108892i | \(-0.965270\pi\) |
0.591330 | + | 0.806430i | \(0.298603\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 37.4997 | − | 21.6505i | 1.84973 | − | 1.06794i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −7.51763 | + | 0.269404i | −0.369919 | + | 0.0132565i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.594631 | + | 2.66458i | −0.0291893 | + | 0.130799i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 4.78930 | − | 1.28329i | 0.234533 | − | 0.0628429i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 14.3954 | 0.703261 | 0.351631 | − | 0.936139i | \(-0.385627\pi\) | ||||
0.351631 | + | 0.936139i | \(0.385627\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 26.0871 | 1.27141 | 0.635705 | − | 0.771932i | \(-0.280710\pi\) | ||||
0.635705 | + | 0.771932i | \(0.280710\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −19.0930 | + | 5.11596i | −0.928335 | + | 0.248747i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 25.4871 | + | 4.56755i | 1.23631 | + | 0.221559i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.18031 | − | 2.74835i | −0.250693 | − | 0.133002i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 31.2500 | − | 18.0422i | 1.50876 | − | 0.871085i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 4.01624 | − | 6.95633i | 0.193456 | − | 0.335075i | −0.752938 | − | 0.658092i | \(-0.771364\pi\) |
0.946393 | + | 0.323017i | \(0.104697\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −18.7693 | − | 18.7693i | −0.901994 | − | 0.901994i | 0.0936149 | − | 0.995608i | \(-0.470158\pi\) |
−0.995608 | + | 0.0936149i | \(0.970158\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −32.3501 | + | 35.2050i | −1.55107 | + | 1.68795i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1.47567 | + | 5.50728i | 0.0705909 | + | 0.263449i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 17.4436 | + | 30.2131i | 0.832536 | + | 1.44199i | 0.896021 | + | 0.444012i | \(0.146445\pi\) |
−0.0634849 | + | 0.997983i | \(0.520221\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 1.09158 | + | 15.2105i | 0.0519798 | + | 0.724310i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −30.0869 | − | 8.06175i | −1.42947 | − | 0.383025i | −0.540637 | − | 0.841256i | \(-0.681817\pi\) |
−0.888833 | + | 0.458231i | \(0.848483\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.891052 | − | 1.70587i | 0.0422399 | − | 0.0808660i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −3.34251 | + | 3.34251i | −0.158095 | + | 0.158095i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 21.2638i | 1.00350i | 0.865013 | + | 0.501750i | \(0.167310\pi\) | ||||
−0.865013 | + | 0.501750i | \(0.832690\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −14.3532 | − | 8.28680i | −0.675864 | − | 0.390210i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 3.50711 | − | 13.0887i | 0.164778 | − | 0.614962i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −24.7237 | + | 8.74169i | −1.15907 | + | 0.409817i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.71055 | − | 25.0441i | 0.313906 | − | 1.17151i | −0.611097 | − | 0.791556i | \(-0.709272\pi\) |
0.925003 | − | 0.379959i | \(-0.124062\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −8.38390 | − | 4.84044i | −0.391327 | − | 0.225933i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 1.24276i | 0.0578811i | 0.999581 | + | 0.0289405i | \(0.00921335\pi\) | ||||
−0.999581 | + | 0.0289405i | \(0.990787\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.6086 | − | 13.6086i | 0.632448 | − | 0.632448i | −0.316234 | − | 0.948681i | \(-0.602418\pi\) |
0.948681 | + | 0.316234i | \(0.102418\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 10.6959 | + | 34.0892i | 0.496012 | + | 1.58085i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −23.7974 | − | 6.37649i | −1.10121 | − | 0.295069i | −0.337954 | − | 0.941163i | \(-0.609735\pi\) |
−0.763258 | + | 0.646094i | \(0.776401\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −8.78116 | − | 8.17357i | −0.405476 | − | 0.377420i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −6.95352 | − | 12.0439i | −0.320401 | − | 0.554951i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −3.29391 | − | 12.2930i | −0.151454 | − | 0.565234i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −6.84613 | + | 0.579682i | −0.314122 | + | 0.0265976i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.80205 | − | 2.80205i | −0.128297 | − | 0.128297i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −2.58135 | + | 4.47103i | −0.117945 | + | 0.204287i | −0.918953 | − | 0.394367i | \(-0.870964\pi\) |
0.801008 | + | 0.598653i | \(0.204297\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −25.0110 | + | 14.4401i | −1.14040 | + | 0.658413i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 13.2575 | + | 21.1734i | 0.603239 | + | 0.963422i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −38.9868 | − | 8.70035i | −1.77030 | − | 0.395063i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −7.33027 | + | 1.96414i | −0.332166 | + | 0.0890037i | −0.421048 | − | 0.907039i | \(-0.638337\pi\) |
0.0888813 | + | 0.996042i | \(0.471671\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 35.1660 | 1.59026 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 12.2484 | 0.552763 | 0.276382 | − | 0.961048i | \(-0.410865\pi\) | ||||
0.276382 | + | 0.961048i | \(0.410865\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 47.0004 | − | 12.5937i | 2.11679 | − | 0.567192i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 14.7102 | − | 9.34256i | 0.661175 | − | 0.419917i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −14.8534 | − | 23.7221i | −0.666267 | − | 1.06408i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 21.1800 | − | 12.2283i | 0.948149 | − | 0.547414i | 0.0556434 | − | 0.998451i | \(-0.482279\pi\) |
0.892505 | + | 0.451037i | \(0.148946\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 27.9728 | − | 48.4504i | 1.24973 | − | 2.16460i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 15.4661 | + | 15.4661i | 0.689600 | + | 0.689600i | 0.962143 | − | 0.272544i | \(-0.0878649\pi\) |
−0.272544 | + | 0.962143i | \(0.587865\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.11794 | + | 26.4533i | 0.0497476 | + | 1.17716i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −3.91552 | − | 14.6129i | −0.173894 | − | 0.648982i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −17.0981 | − | 29.6148i | −0.757861 | − | 1.31265i | −0.943940 | − | 0.330118i | \(-0.892911\pi\) |
0.186079 | − | 0.982535i | \(-0.440422\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.89826 | − | 4.55934i | −0.216686 | − | 0.201693i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 2.48125 | + | 0.664850i | 0.109550 | + | 0.0293538i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 40.8786 | − | 12.8262i | 1.80132 | − | 0.565189i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 22.9515 | − | 22.9515i | 1.00941 | − | 1.00941i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 9.26491i | − | 0.406684i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −23.2204 | − | 13.4063i | −1.01730 | − | 0.587341i | −0.103983 | − | 0.994579i | \(-0.533159\pi\) |
−0.913322 | + | 0.407238i | \(0.866492\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.52679 | − | 5.69806i | 0.0667619 | − | 0.249159i | −0.924477 | − | 0.381237i | \(-0.875498\pi\) |
0.991239 | + | 0.132078i | \(0.0421649\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −27.9329 | + | 11.2246i | −1.21909 | + | 0.489881i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 9.41087 | − | 35.1218i | 0.409944 | − | 1.52993i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −5.00907 | − | 2.89199i | −0.217786 | − | 0.125739i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 6.19401i | − | 0.268797i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −14.5212 | + | 14.5212i | −0.628985 | + | 0.628985i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 15.8126 | − | 4.96141i | 0.683638 | − | 0.214500i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 13.4120 | + | 3.59373i | 0.578770 | + | 0.155081i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −14.0408 | − | 20.7345i | −0.604780 | − | 0.893096i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −10.7940 | − | 18.6957i | −0.464069 | − | 0.803791i | 0.535090 | − | 0.844795i | \(-0.320278\pi\) |
−0.999159 | + | 0.0410039i | \(0.986944\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −13.7171 | − | 51.1928i | −0.588656 | − | 2.19689i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.399530 | + | 9.45390i | 0.0171140 | + | 0.404961i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −12.1156 | − | 12.1156i | −0.518027 | − | 0.518027i | 0.398947 | − | 0.916974i | \(-0.369376\pi\) |
−0.916974 | + | 0.398947i | \(0.869376\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 2.41430 | − | 4.18170i | 0.103040 | − | 0.178471i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −11.1815 | + | 6.45564i | −0.476348 | + | 0.275020i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −13.0189 | − | 6.90700i | −0.553619 | − | 0.293716i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −27.9863 | + | 17.7743i | −1.18795 | + | 0.754476i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −6.98891 | + | 1.87267i | −0.296130 | + | 0.0793477i | −0.403825 | − | 0.914836i | \(-0.632320\pi\) |
0.107695 | + | 0.994184i | \(0.465653\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −15.7695 | −0.666977 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −42.1575 | −1.77989 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 1.51972 | − | 0.407209i | 0.0640487 | − | 0.0171618i | −0.226652 | − | 0.973976i | \(-0.572778\pi\) |
0.290701 | + | 0.956814i | \(0.406111\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −25.3580 | − | 5.65893i | −1.06682 | − | 0.238073i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 28.5283 | − | 1.02235i | 1.19808 | − | 0.0429346i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −5.32597 | + | 3.07495i | −0.223276 | + | 0.128909i | −0.607466 | − | 0.794345i | \(-0.707814\pi\) |
0.384190 | + | 0.923254i | \(0.374481\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 7.60099 | − | 13.1653i | 0.318092 | − | 0.550951i | −0.661998 | − | 0.749505i | \(-0.730291\pi\) |
0.980090 | + | 0.198555i | \(0.0636247\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −25.0636 | − | 25.0636i | −1.04705 | − | 1.04705i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −13.3797 | + | 15.8551i | −0.557972 | + | 0.661203i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 4.68885 | + | 17.4990i | 0.195199 | + | 0.728494i | 0.992215 | + | 0.124536i | \(0.0397441\pi\) |
−0.797016 | + | 0.603959i | \(0.793589\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −24.6942 | − | 42.7716i | −1.02626 | − | 1.77753i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.723787 | + | 3.14820i | −0.0300277 | + | 0.130609i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 6.28537 | + | 1.68416i | 0.260313 | + | 0.0697507i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −6.46424 | − | 20.6023i | −0.267263 | − | 0.851800i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 8.49695 | − | 8.49695i | 0.350707 | − | 0.350707i | −0.509666 | − | 0.860373i | \(-0.670231\pi\) |
0.860373 | + | 0.509666i | \(0.170231\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 9.64818i | 0.397546i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 8.62975 | + | 4.98239i | 0.354980 | + | 0.204948i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −2.57872 | + | 9.62390i | −0.105895 | + | 0.395206i | −0.998445 | − | 0.0557423i | \(-0.982247\pi\) |
0.892550 | + | 0.450948i | \(0.148914\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 30.1215 | + | 5.59774i | 1.23486 | + | 0.229485i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −0.502532 | + | 1.87547i | −0.0205673 | + | 0.0767581i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 37.5749 | + | 21.6939i | 1.53527 | + | 0.886388i | 0.999106 | + | 0.0422744i | \(0.0134604\pi\) |
0.536164 | + | 0.844114i | \(0.319873\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 46.7450i | − | 1.90677i | −0.301757 | − | 0.953385i | \(-0.597573\pi\) | ||
0.301757 | − | 0.953385i | \(-0.402427\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 6.98477 | − | 6.98477i | 0.284442 | − | 0.284442i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −1.86058 | + | 3.56197i | −0.0756432 | + | 0.144815i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.265783 | + | 0.0712163i | 0.0107878 | + | 0.00289058i | 0.264209 | − | 0.964465i | \(-0.414889\pi\) |
−0.253421 | + | 0.967356i | \(0.581556\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −38.5435 | + | 41.4087i | −1.56186 | + | 1.67797i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −20.1094 | − | 34.8305i | −0.813538 | − | 1.40909i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.61033 | + | 28.4021i | 0.307378 | + | 1.14715i | 0.930879 | + | 0.365328i | \(0.119043\pi\) |
−0.623500 | + | 0.781823i | \(0.714290\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −15.9512 | + | 17.3589i | −0.643213 | + | 0.699977i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 18.4708 | + | 18.4708i | 0.743606 | + | 0.743606i | 0.973270 | − | 0.229664i | \(-0.0737626\pi\) |
−0.229664 | + | 0.973270i | \(0.573763\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 17.4488 | − | 30.2222i | 0.701325 | − | 1.21473i | −0.266676 | − | 0.963786i | \(-0.585925\pi\) |
0.968001 | − | 0.250945i | \(-0.0807412\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 6.71734 | − | 3.87826i | 0.269558 | − | 0.155629i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 1.06723 | − | 2.01161i | 0.0427578 | − | 0.0805934i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −15.9624 | − | 19.2406i | −0.638495 | − | 0.769626i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 10.8051 | − | 2.89523i | 0.431516 | − | 0.115624i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 33.7409 | 1.34534 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −15.9645 | −0.635537 | −0.317768 | − | 0.948168i | \(-0.602933\pi\) | ||||
−0.317768 | + | 0.948168i | \(0.602933\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −11.3361 | + | 3.03749i | −0.450569 | + | 0.120729i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 7.58780 | − | 34.0014i | 0.301113 | − | 1.34931i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −29.3192 | + | 10.1554i | −1.16167 | + | 0.402373i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 19.9583 | − | 11.5230i | 0.789540 | − | 0.455841i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −14.7498 | + | 25.5474i | −0.582581 | + | 1.00906i | 0.412591 | + | 0.910916i | \(0.364624\pi\) |
−0.995172 | + | 0.0981437i | \(0.968710\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7.54699 | − | 7.54699i | −0.297624 | − | 0.297624i | 0.542458 | − | 0.840083i | \(-0.317494\pi\) |
−0.840083 | + | 0.542458i | \(0.817494\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −18.0866 | + | 0.764356i | −0.712161 | + | 0.0300965i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 0.0666143 | + | 0.248608i | 0.00261888 | + | 0.00977379i | 0.967223 | − | 0.253929i | \(-0.0817229\pi\) |
−0.964604 | + | 0.263703i | \(0.915056\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.08555 | + | 8.80843i | 0.199625 | + | 0.345761i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 12.3966 | + | 40.4152i | 0.485861 | + | 1.58400i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 1.25937 | + | 0.337448i | 0.0492830 | + | 0.0132054i | 0.283376 | − | 0.959009i | \(-0.408545\pi\) |
−0.234093 | + | 0.972214i | \(0.575212\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 26.2066 | + | 13.6889i | 1.02398 | + | 0.534869i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 3.89621 | − | 3.89621i | 0.152005 | − | 0.152005i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 2.87148i | − | 0.111857i | −0.998435 | − | 0.0559286i | \(-0.982188\pi\) | ||
0.998435 | − | 0.0559286i | \(-0.0178119\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 21.1356 | + | 12.2026i | 0.822078 | + | 0.474627i | 0.851132 | − | 0.524951i | \(-0.175916\pi\) |
−0.0290547 | + | 0.999578i | \(0.509250\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −13.5199 | + | 50.4569i | −0.525069 | + | 1.95958i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −8.10469 | + | 0.633912i | −0.314286 | + | 0.0245821i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −10.0903 | + | 37.6576i | −0.390699 | + | 1.45811i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 18.8226 | + | 10.8672i | 0.727723 | + | 0.420151i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 7.92899i | 0.306095i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 28.1207 | − | 28.1207i | 1.08397 | − | 1.08397i | 0.0878369 | − | 0.996135i | \(-0.472005\pi\) |
0.996135 | − | 0.0878369i | \(-0.0279954\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 3.17229 | + | 8.79217i | 0.122101 | + | 0.338411i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 20.8842 | + | 5.59591i | 0.802646 | + | 0.215068i | 0.636745 | − | 0.771074i | \(-0.280280\pi\) |
0.165901 | + | 0.986142i | \(0.446947\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −46.0628 | − | 10.5901i | −1.76773 | − | 0.406410i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −5.32982 | − | 9.23152i | −0.204239 | − | 0.353753i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 9.59848 | + | 35.8220i | 0.367276 | + | 1.37069i | 0.864309 | + | 0.502961i | \(0.167756\pi\) |
−0.497034 | + | 0.867731i | \(0.665577\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 31.3295 | + | 28.7889i | 1.19704 | + | 1.09997i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −19.8653 | − | 19.8653i | −0.757908 | − | 0.757908i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 4.03142 | − | 6.98263i | 0.153585 | − | 0.266017i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −14.7640 | + | 8.52400i | −0.561649 | + | 0.324268i | −0.753807 | − | 0.657096i | \(-0.771785\pi\) |
0.192158 | + | 0.981364i | \(0.438451\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 17.4759 | − | 10.9424i | 0.663855 | − | 0.415667i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 2.61200 | + | 4.11269i | 0.0990787 | + | 0.156003i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 23.1749 | − | 6.20970i | 0.877813 | − | 0.235209i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 47.6089 | 1.80074 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 10.9087 | 0.412017 | 0.206009 | − | 0.978550i | \(-0.433953\pi\) | ||||
0.206009 | + | 0.978550i | \(0.433953\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −8.64793 | + | 2.31721i | −0.326163 | + | 0.0873951i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −24.7525 | − | 38.9738i | −0.932235 | − | 1.46784i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 1.12195 | + | 31.3078i | 0.0421954 | + | 1.17745i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 8.23815 | − | 4.75630i | 0.309390 | − | 0.178627i | −0.337263 | − | 0.941410i | \(-0.609501\pi\) |
0.646654 | + | 0.762784i | \(0.276168\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 6.06751 | − | 10.5092i | 0.227549 | − | 0.394127i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 20.6001 | + | 20.6001i | 0.771481 | + | 0.771481i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 26.1081 | + | 23.9909i | 0.976387 | + | 0.897208i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 11.5229 | + | 43.0042i | 0.430332 | + | 1.60602i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −1.14039 | − | 1.97522i | −0.0425295 | − | 0.0736632i | 0.843977 | − | 0.536379i | \(-0.180208\pi\) |
−0.886507 | + | 0.462716i | \(0.846875\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 48.4645 | − | 14.8656i | 1.80491 | − | 0.553622i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 1.09769 | + | 0.294125i | 0.0408234 | + | 0.0109386i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −42.5226 | − | 19.9735i | −1.57925 | − | 0.741798i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −6.33666 | + | 6.33666i | −0.235014 | + | 0.235014i | −0.814782 | − | 0.579768i | \(-0.803143\pi\) |
0.579768 | + | 0.814782i | \(0.303143\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 10.7432i | 0.397896i | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 15.9552 | + | 9.21176i | 0.590125 | + | 0.340709i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −6.74911 | + | 25.1880i | −0.249284 | + | 0.930341i | 0.721897 | + | 0.692000i | \(0.243270\pi\) |
−0.971182 | + | 0.238341i | \(0.923396\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −33.1352 | + | 13.0688i | −1.22221 | + | 0.482051i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −4.19816 | + | 15.6678i | −0.154641 | + | 0.577129i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −33.9792 | − | 19.6179i | −1.24994 | − | 0.721656i | −0.278846 | − | 0.960336i | \(-0.589952\pi\) |
−0.971098 | + | 0.238680i | \(0.923285\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − | 13.8608i | − | 0.509189i | ||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 9.29603 | − | 9.29603i | 0.341038 | − | 0.341038i | −0.515719 | − | 0.856758i | \(-0.672475\pi\) |
0.856758 | + | 0.515719i | \(0.172475\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −4.11702 | − | 2.15050i | −0.150836 | − | 0.0787883i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −2.56923 | − | 0.688422i | −0.0940031 | − | 0.0251880i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 18.7470 | − | 5.75028i | 0.685000 | − | 0.210111i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −3.74551 | − | 6.48742i | −0.136676 | − | 0.236729i | 0.789561 | − | 0.613673i | \(-0.210308\pi\) |
−0.926236 | + | 0.376943i | \(0.876975\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 4.20561 | + | 15.6955i | 0.153261 | + | 0.571977i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 13.3030 | − | 0.562194i | 0.484144 | − | 0.0204603i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −6.67005 | − | 6.67005i | −0.242427 | − | 0.242427i | 0.575427 | − | 0.817853i | \(-0.304836\pi\) |
−0.817853 | + | 0.575427i | \(0.804836\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 16.8887 | − | 29.2521i | 0.613021 | − | 1.06178i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −13.0745 | + | 7.54859i | −0.473952 | + | 0.273636i | −0.717893 | − | 0.696154i | \(-0.754893\pi\) |
0.243941 | + | 0.969790i | \(0.421560\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.400965 | + | 11.1888i | 0.0145159 | + | 0.405062i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −5.49448 | + | 24.6211i | −0.198653 | + | 0.890178i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 12.1734 | − | 3.26187i | 0.439558 | − | 0.117779i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.50495 | −0.126392 | −0.0631959 | − | 0.998001i | \(-0.520129\pi\) | ||||
−0.0631959 | + | 0.998001i | \(0.520129\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 18.7155 | 0.674024 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 24.6065 | − | 6.59331i | 0.885036 | − | 0.237145i | 0.212457 | − | 0.977170i | \(-0.431853\pi\) |
0.672579 | + | 0.740026i | \(0.265187\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −28.8138 | + | 20.0559i | −1.03502 | + | 0.720428i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −33.2480 | + | 20.8180i | −1.19277 | + | 0.746840i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −5.51337 | + | 3.18315i | −0.197537 | + | 0.114048i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −18.9217 | + | 32.7733i | −0.677071 | + | 1.17272i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 12.4202 | + | 12.4202i | 0.443861 | + | 0.443861i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 9.24617 | − | 10.0622i | 0.330010 | − | 0.359134i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 5.16739 | + | 19.2850i | 0.184198 | + | 0.687435i | 0.994801 | + | 0.101839i | \(0.0324727\pi\) |
−0.810603 | + | 0.585596i | \(0.800861\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −6.37302 | − | 11.0384i | −0.226886 | − | 0.392978i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −29.9604 | − | 6.88807i | −1.06527 | − | 0.244911i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 9.48994 | + | 2.54282i | 0.336998 | + | 0.0902983i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 4.28536 | − | 8.20408i | 0.151986 | − | 0.290969i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −26.5084 | + | 26.5084i | −0.938977 | + | 0.938977i | −0.998242 | − | 0.0592654i | \(-0.981124\pi\) |
0.0592654 | + | 0.998242i | \(0.481124\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 46.9877i | 1.66231i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 1.62383 | + | 0.937518i | 0.0573752 | + | 0.0331256i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −2.34180 | + | 8.73970i | −0.0826402 | + | 0.308417i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −15.9511 | + | 18.6581i | −0.562202 | + | 0.657610i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −18.4918 | + | 69.0123i | −0.650941 | + | 2.42935i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 28.6064 | + | 16.5159i | 1.00575 | + | 0.580668i | 0.909943 | − | 0.414733i | \(-0.136125\pi\) |
0.0958027 | + | 0.995400i | \(0.469458\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 40.2650i | − | 1.41390i | −0.707265 | − | 0.706948i | \(-0.750071\pi\) | ||
0.707265 | − | 0.706948i | \(-0.249929\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 9.37441 | − | 9.37441i | 0.328775 | − | 0.328775i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 10.3447 | + | 32.9698i | 0.362359 | + | 1.15488i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.72202 | − | 1.26526i | −0.165203 | − | 0.0442659i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −7.49206 | − | 24.4255i | −0.261794 | − | 0.853497i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −17.3554 | − | 30.0604i | −0.605707 | − | 1.04911i | −0.991939 | − | 0.126713i | \(-0.959557\pi\) |
0.386233 | − | 0.922401i | \(-0.373776\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −10.8152 | − | 40.3629i | −0.376995 | − | 1.40696i | −0.850408 | − | 0.526123i | \(-0.823645\pi\) |
0.473414 | − | 0.880840i | \(-0.343022\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 31.1073 | + | 26.2507i | 1.08302 | + | 0.913930i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −25.2377 | − | 25.2377i | −0.877600 | − | 0.877600i | 0.115686 | − | 0.993286i | \(-0.463093\pi\) |
−0.993286 | + | 0.115686i | \(0.963093\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 10.2989 | − | 17.8381i | 0.357694 | − | 0.619544i | −0.629881 | − | 0.776692i | \(-0.716896\pi\) |
0.987575 | + | 0.157147i | \(0.0502297\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −29.1769 | + | 16.8453i | −1.01214 | + | 0.584357i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 35.5970 | + | 6.85182i | 1.23336 | + | 0.237401i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 53.6532 | + | 11.9733i | 1.85674 | + | 0.414354i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 12.6784 | − | 3.39715i | 0.438228 | − | 0.117423i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 8.88062 | 0.306593 | 0.153297 | − | 0.988180i | \(-0.451011\pi\) | ||||
0.153297 | + | 0.988180i | \(0.451011\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −59.2847 | −2.04430 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −8.89154 | + | 2.38248i | −0.306241 | + | 0.0820570i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 12.5485 | − | 7.96961i | 0.431680 | − | 0.274163i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.22845 | + | 4.20037i | −0.0765706 | + | 0.144327i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −9.53894 | + | 5.50731i | −0.327376 | + | 0.189010i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −13.5169 | + | 23.4120i | −0.463355 | + | 0.802554i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −17.0978 | − | 17.0978i | −0.585417 | − | 0.585417i | 0.350970 | − | 0.936387i | \(-0.385852\pi\) |
−0.936387 | + | 0.350970i | \(0.885852\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.282633 | − | 6.68783i | −0.00966586 | − | 0.228719i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 1.82672 | + | 6.81740i | 0.0623995 | + | 0.232878i | 0.990082 | − | 0.140493i | \(-0.0448686\pi\) |
−0.927682 | + | 0.373371i | \(0.878202\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −15.4580 | − | 26.7741i | −0.527422 | − | 0.913521i | −0.999489 | − | 0.0319586i | \(-0.989826\pi\) |
0.472068 | − | 0.881562i | \(-0.343508\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −19.0050 | + | 20.4178i | −0.647690 | + | 0.695837i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 0.835836 | + | 0.223962i | 0.0284522 | + | 0.00762374i | 0.273017 | − | 0.962009i | \(-0.411978\pi\) |
−0.244565 | + | 0.969633i | \(0.578645\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 8.68628 | − | 2.72543i | 0.295342 | − | 0.0926675i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 15.7986 | − | 15.7986i | 0.536549 | − | 0.536549i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 19.9267i | 0.675968i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 17.4059 | + | 10.0493i | 0.589775 | + | 0.340507i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 10.0726 | − | 37.5916i | 0.340908 | − | 1.27228i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −18.7405 | − | 22.8865i | −0.633545 | − | 0.773706i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 5.30921 | − | 19.8142i | 0.179279 | − | 0.669079i | −0.816504 | − | 0.577340i | \(-0.804091\pi\) |
0.995783 | − | 0.0917391i | \(-0.0292426\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 3.27957 | + | 1.89346i | 0.110617 | + | 0.0638649i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 7.65158i | 0.257788i | 0.991658 | + | 0.128894i | \(0.0411428\pi\) | ||||
−0.991658 | + | 0.128894i | \(0.958857\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −39.4562 | + | 39.4562i | −1.32781 | + | 1.32781i | −0.420528 | + | 0.907279i | \(0.638155\pi\) |
−0.907279 | + | 0.420528i | \(0.861845\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 13.8041 | − | 4.33122i | 0.464021 | − | 0.145593i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 14.6259 | + | 3.91901i | 0.491091 | + | 0.131587i | 0.495862 | − | 0.868401i | \(-0.334852\pi\) |
−0.00477122 | + | 0.999989i | \(0.501519\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 9.23590 | − | 40.1726i | 0.309762 | − | 1.34735i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −19.2989 | − | 33.4267i | −0.646538 | − | 1.11984i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −3.22695 | − | 12.0432i | −0.107986 | − | 0.403009i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.576079 | + | 13.6315i | 0.0192562 | + | 0.455651i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −29.5946 | − | 29.5946i | −0.988137 | − | 0.988137i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −32.9861 | + | 57.1336i | −1.10015 | + | 1.90551i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −8.15784 | + | 4.70993i | −0.271777 | + | 0.156910i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −21.4058 | + | 0.767102i | −0.712339 | + | 0.0255276i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 43.9605 | − | 27.9196i | 1.46130 | − | 0.928080i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −14.7951 | + | 3.96434i | −0.491264 | + | 0.131634i | −0.495943 | − | 0.868355i | \(-0.665177\pi\) |
0.00467871 | + | 0.999989i | \(0.498511\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −25.7955 | −0.855582 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 32.8204 | 1.08739 | 0.543694 | − | 0.839284i | \(-0.317025\pi\) | ||||
0.543694 | + | 0.839284i | \(0.317025\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 4.21889 | − | 1.13045i | 0.139625 | − | 0.0374124i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 11.0077 | + | 2.45648i | 0.363902 | + | 0.0812089i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 30.9036 | + | 16.3955i | 1.02053 | + | 0.541427i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 35.7071 | − | 20.6155i | 1.17787 | − | 0.680043i | 0.222348 | − | 0.974967i | \(-0.428628\pi\) |
0.955520 | + | 0.294925i | \(0.0952946\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 19.2702 | − | 33.3769i | 0.634974 | − | 1.09981i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 33.1571 | + | 33.1571i | 1.09138 | + | 1.09138i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −24.8968 | − | 21.0098i | −0.818603 | − | 0.690798i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 10.8033 | + | 40.3186i | 0.354828 | + | 1.32424i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 3.21108 | + | 5.56175i | 0.105352 | + | 0.182475i | 0.913882 | − | 0.405980i | \(-0.133070\pi\) |
−0.808530 | + | 0.588455i | \(0.799736\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −9.59421 | + | 0.688525i | −0.314438 | + | 0.0225655i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −11.3614 | − | 3.04428i | −0.371956 | − | 0.0996653i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −12.4014 | − | 39.5246i | −0.405568 | − | 1.29259i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −38.1300 | + | 38.1300i | −1.24565 | + | 1.24565i | −0.288034 | + | 0.957620i | \(0.593002\pi\) |
−0.957620 | + | 0.288034i | \(0.906998\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | − | 14.4314i | − | 0.470951i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 5.07275 | + | 2.92875i | 0.165367 | + | 0.0954746i | 0.580399 | − | 0.814332i | \(-0.302896\pi\) |
−0.415032 | + | 0.909807i | \(0.636230\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.97534 | + | 18.5682i | −0.162019 | + | 0.604664i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 3.68669 | + | 10.4269i | 0.119928 | + | 0.339187i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 4.77285 | − | 17.8125i | 0.155097 | − | 0.578829i | −0.844000 | − | 0.536343i | \(-0.819805\pi\) |
0.999097 | − | 0.0424864i | \(-0.0135279\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 9.70924 | + | 5.60563i | 0.315175 | + | 0.181967i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 46.9806i | − | 1.52345i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −4.66301 | + | 4.66301i | −0.151050 | + | 0.151050i | −0.778587 | − | 0.627537i | \(-0.784063\pi\) |
0.627537 | + | 0.778587i | \(0.284063\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 16.1254 | − | 30.8712i | 0.521806 | − | 0.998968i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 73.8833 | + | 19.7970i | 2.38831 | + | 0.639945i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 36.8503 | + | 34.3005i | 1.18996 | + | 1.10762i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 9.14945 | + | 15.8473i | 0.295144 | + | 0.511204i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 4.17893 | + | 15.5960i | 0.134664 | + | 0.502574i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 32.8361 | − | 35.7339i | 1.05703 | − | 1.15032i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −34.1689 | − | 34.1689i | −1.09880 | − | 1.09880i | −0.994551 | − | 0.104247i | \(-0.966757\pi\) |
−0.104247 | − | 0.994551i | \(-0.533243\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −8.09682 | + | 14.0241i | −0.260107 | + | 0.450519i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −31.8954 | + | 18.4148i | −1.02357 | + | 0.590959i | −0.915136 | − | 0.403145i | \(-0.867917\pi\) |
−0.108435 | + | 0.994104i | \(0.534584\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 3.05928 | + | 4.88592i | 0.0980760 | + | 0.156635i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 41.3946 | − | 28.8127i | 1.32569 | − | 0.922746i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 33.0886 | − | 8.86606i | 1.05860 | − | 0.283650i | 0.312797 | − | 0.949820i | \(-0.398734\pi\) |
0.745800 | + | 0.666170i | \(0.232067\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −3.07897 | −0.0984044 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −9.21881 | −0.294334 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 21.5030 | − | 5.76170i | 0.685838 | − | 0.183770i | 0.100960 | − | 0.994891i | \(-0.467809\pi\) |
0.584879 | + | 0.811121i | \(0.301142\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.13263 | + | 9.55644i | −0.0679512 | + | 0.304494i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −28.9912 | − | 46.3013i | −0.922800 | − | 1.47379i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −12.7836 | + | 7.38064i | −0.406496 | + | 0.234691i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −7.35178 | + | 12.7337i | −0.233537 | + | 0.404498i | −0.958847 | − | 0.283925i | \(-0.908363\pi\) |
0.725309 | + | 0.688423i | \(0.241697\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 28.2194 | + | 28.2194i | 0.895517 | + | 0.895517i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −1.90617 | + | 0.0805564i | −0.0604297 | + | 0.00255381i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 6.14395 | + | 22.9296i | 0.194581 | + | 0.726186i | 0.992375 | + | 0.123256i | \(0.0393336\pi\) |
−0.797794 | + | 0.602930i | \(0.794000\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 6.08993 | + | 10.5481i | 0.192677 | + | 0.333726i |
(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 | 560.2.ci.e.17.3 | 48 | ||
4.3 | odd | 2 | 280.2.bo.a.17.10 | ✓ | 48 | ||
5.3 | odd | 4 | inner | 560.2.ci.e.353.3 | 48 | ||
7.5 | odd | 6 | inner | 560.2.ci.e.257.3 | 48 | ||
20.3 | even | 4 | 280.2.bo.a.73.10 | yes | 48 | ||
28.19 | even | 6 | 280.2.bo.a.257.10 | yes | 48 | ||
35.33 | even | 12 | inner | 560.2.ci.e.33.3 | 48 | ||
140.103 | odd | 12 | 280.2.bo.a.33.10 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bo.a.17.10 | ✓ | 48 | 4.3 | odd | 2 | ||
280.2.bo.a.33.10 | yes | 48 | 140.103 | odd | 12 | ||
280.2.bo.a.73.10 | yes | 48 | 20.3 | even | 4 | ||
280.2.bo.a.257.10 | yes | 48 | 28.19 | even | 6 | ||
560.2.ci.e.17.3 | 48 | 1.1 | even | 1 | trivial | ||
560.2.ci.e.33.3 | 48 | 35.33 | even | 12 | inner | ||
560.2.ci.e.257.3 | 48 | 7.5 | odd | 6 | inner | ||
560.2.ci.e.353.3 | 48 | 5.3 | odd | 4 | inner |