Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(19,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 15, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bn (of order \(30\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 49.3 | ||
Character | \(\chi\) | \(=\) | 930.49 |
Dual form | 930.2.bn.a.19.3 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{13}{15}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.587785 | − | 0.809017i | −0.415627 | − | 0.572061i | ||||
\(3\) | 0.406737 | + | 0.913545i | 0.234830 | + | 0.527436i | ||||
\(4\) | −0.309017 | + | 0.951057i | −0.154508 | + | 0.475528i | ||||
\(5\) | −0.509764 | − | 2.17719i | −0.227973 | − | 0.973667i | ||||
\(6\) | 0.500000 | − | 0.866025i | 0.204124 | − | 0.353553i | ||||
\(7\) | 0.159624 | − | 0.143726i | 0.0603322 | − | 0.0543233i | −0.638413 | − | 0.769694i | \(-0.720409\pi\) |
0.698745 | + | 0.715371i | \(0.253742\pi\) | |||||||
\(8\) | 0.951057 | − | 0.309017i | 0.336249 | − | 0.109254i | ||||
\(9\) | −0.669131 | + | 0.743145i | −0.223044 | + | 0.247715i | ||||
\(10\) | −1.46175 | + | 1.69213i | −0.462246 | + | 0.535097i | ||||
\(11\) | −3.49535 | + | 0.742959i | −1.05389 | + | 0.224011i | −0.702107 | − | 0.712072i | \(-0.747757\pi\) |
−0.351781 | + | 0.936083i | \(0.614424\pi\) | |||||||
\(12\) | −0.994522 | + | 0.104528i | −0.287094 | + | 0.0301748i | ||||
\(13\) | −3.56139 | − | 0.374317i | −0.987753 | − | 0.103817i | −0.403148 | − | 0.915135i | \(-0.632084\pi\) |
−0.584605 | + | 0.811318i | \(0.698751\pi\) | |||||||
\(14\) | −0.210101 | − | 0.0446584i | −0.0561519 | − | 0.0119355i | ||||
\(15\) | 1.78162 | − | 1.35123i | 0.460012 | − | 0.348887i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | −0.228047 | + | 1.07287i | −0.0553094 | + | 0.260210i | −0.997111 | − | 0.0759591i | \(-0.975798\pi\) |
0.941802 | + | 0.336169i | \(0.109131\pi\) | |||||||
\(18\) | 0.994522 | + | 0.104528i | 0.234411 | + | 0.0246376i | ||||
\(19\) | 0.862032 | + | 8.20168i | 0.197764 | + | 1.88160i | 0.421332 | + | 0.906907i | \(0.361563\pi\) |
−0.223568 | + | 0.974688i | \(0.571770\pi\) | |||||||
\(20\) | 2.22815 | + | 0.187974i | 0.498230 | + | 0.0420322i | ||||
\(21\) | 0.196225 | + | 0.0873650i | 0.0428198 | + | 0.0190646i | ||||
\(22\) | 2.65558 | + | 2.39110i | 0.566172 | + | 0.509783i | ||||
\(23\) | 4.93671 | − | 1.60404i | 1.02938 | − | 0.334464i | 0.254832 | − | 0.966985i | \(-0.417980\pi\) |
0.774543 | + | 0.632521i | \(0.217980\pi\) | |||||||
\(24\) | 0.669131 | + | 0.743145i | 0.136586 | + | 0.151694i | ||||
\(25\) | −4.48028 | + | 2.21970i | −0.896056 | + | 0.443940i | ||||
\(26\) | 1.79051 | + | 3.10125i | 0.351147 | + | 0.608204i | ||||
\(27\) | −0.951057 | − | 0.309017i | −0.183031 | − | 0.0594703i | ||||
\(28\) | 0.0873650 | + | 0.196225i | 0.0165104 | + | 0.0370831i | ||||
\(29\) | −3.57759 | + | 2.59927i | −0.664342 | + | 0.482673i | −0.868126 | − | 0.496343i | \(-0.834676\pi\) |
0.203785 | + | 0.979016i | \(0.434676\pi\) | |||||||
\(30\) | −2.14038 | − | 0.647125i | −0.390778 | − | 0.118148i | ||||
\(31\) | −5.04312 | + | 2.35944i | −0.905771 | + | 0.423768i | ||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | −2.10041 | − | 2.89097i | −0.365635 | − | 0.503253i | ||||
\(34\) | 1.00202 | − | 0.446126i | 0.171844 | − | 0.0765100i | ||||
\(35\) | −0.394289 | − | 0.274265i | −0.0666470 | − | 0.0463592i | ||||
\(36\) | −0.500000 | − | 0.866025i | −0.0833333 | − | 0.144338i | ||||
\(37\) | 1.63260 | + | 0.942583i | 0.268398 | + | 0.154960i | 0.628159 | − | 0.778085i | \(-0.283809\pi\) |
−0.359761 | + | 0.933044i | \(0.617142\pi\) | |||||||
\(38\) | 6.12861 | − | 5.51823i | 0.994192 | − | 0.895175i | ||||
\(39\) | −1.10659 | − | 3.40574i | −0.177197 | − | 0.545355i | ||||
\(40\) | −1.15760 | − | 1.91310i | −0.183033 | − | 0.302488i | ||||
\(41\) | 1.57969 | + | 0.703323i | 0.246706 | + | 0.109841i | 0.526365 | − | 0.850259i | \(-0.323555\pi\) |
−0.279659 | + | 0.960099i | \(0.590221\pi\) | |||||||
\(42\) | −0.0446584 | − | 0.210101i | −0.00689094 | − | 0.0324193i | ||||
\(43\) | 2.90007 | − | 0.304810i | 0.442257 | − | 0.0464831i | 0.119217 | − | 0.992868i | \(-0.461962\pi\) |
0.323040 | + | 0.946385i | \(0.395295\pi\) | |||||||
\(44\) | 0.373526 | − | 3.55386i | 0.0563111 | − | 0.535765i | ||||
\(45\) | 1.95906 | + | 1.07799i | 0.292040 | + | 0.160698i | ||||
\(46\) | −4.19942 | − | 3.05106i | −0.619171 | − | 0.449854i | ||||
\(47\) | 0.0182825 | − | 0.0251636i | 0.00266677 | − | 0.00367049i | −0.807682 | − | 0.589619i | \(-0.799278\pi\) |
0.810348 | + | 0.585948i | \(0.199278\pi\) | |||||||
\(48\) | 0.207912 | − | 0.978148i | 0.0300095 | − | 0.141183i | ||||
\(49\) | −0.726877 | + | 6.91577i | −0.103840 | + | 0.987967i | ||||
\(50\) | 4.42922 | + | 2.31992i | 0.626386 | + | 0.328086i | ||||
\(51\) | −1.07287 | + | 0.228047i | −0.150233 | + | 0.0319329i | ||||
\(52\) | 1.45653 | − | 3.27142i | 0.201984 | − | 0.453664i | ||||
\(53\) | −5.06536 | − | 4.56087i | −0.695780 | − | 0.626483i | 0.243393 | − | 0.969928i | \(-0.421740\pi\) |
−0.939173 | + | 0.343444i | \(0.888406\pi\) | |||||||
\(54\) | 0.309017 | + | 0.951057i | 0.0420519 | + | 0.129422i | ||||
\(55\) | 3.39936 | + | 7.23129i | 0.458370 | + | 0.975067i | ||||
\(56\) | 0.107398 | − | 0.186018i | 0.0143516 | − | 0.0248577i | ||||
\(57\) | −7.14199 | + | 4.12343i | −0.945980 | + | 0.546162i | ||||
\(58\) | 4.20571 | + | 1.36652i | 0.552237 | + | 0.179433i | ||||
\(59\) | 3.94953 | − | 1.75844i | 0.514185 | − | 0.228930i | −0.133206 | − | 0.991088i | \(-0.542527\pi\) |
0.647390 | + | 0.762159i | \(0.275860\pi\) | |||||||
\(60\) | 0.734549 | + | 2.11197i | 0.0948299 | + | 0.272655i | ||||
\(61\) | −9.28085 | −1.18829 | −0.594146 | − | 0.804357i | \(-0.702510\pi\) | ||||
−0.594146 | + | 0.804357i | \(0.702510\pi\) | |||||||
\(62\) | 4.87310 | + | 2.69312i | 0.618884 | + | 0.342027i | ||||
\(63\) | 0.214795i | 0.0270616i | ||||||||
\(64\) | 0.809017 | − | 0.587785i | 0.101127 | − | 0.0734732i | ||||
\(65\) | 1.00051 | + | 7.94463i | 0.124098 | + | 0.985410i | ||||
\(66\) | −1.10425 | + | 3.39854i | −0.135924 | + | 0.418331i | ||||
\(67\) | −9.04825 | + | 5.22401i | −1.10542 | + | 0.638215i | −0.937639 | − | 0.347610i | \(-0.886993\pi\) |
−0.167781 | + | 0.985824i | \(0.553660\pi\) | |||||||
\(68\) | −0.949894 | − | 0.548422i | −0.115192 | − | 0.0665059i | ||||
\(69\) | 3.47330 | + | 3.85749i | 0.418136 | + | 0.464387i | ||||
\(70\) | 0.00987232 | + | 0.480195i | 0.00117997 | + | 0.0573943i | ||||
\(71\) | −7.60917 | + | 8.45084i | −0.903042 | + | 1.00293i | 0.0969288 | + | 0.995291i | \(0.469098\pi\) |
−0.999971 | + | 0.00763843i | \(0.997569\pi\) | |||||||
\(72\) | −0.406737 | + | 0.913545i | −0.0479344 | + | 0.107662i | ||||
\(73\) | 2.29347 | + | 10.7899i | 0.268431 | + | 1.26287i | 0.881253 | + | 0.472646i | \(0.156701\pi\) |
−0.612822 | + | 0.790221i | \(0.709966\pi\) | |||||||
\(74\) | −0.197054 | − | 1.87484i | −0.0229070 | − | 0.217946i | ||||
\(75\) | −3.85009 | − | 3.19011i | −0.444570 | − | 0.368362i | ||||
\(76\) | −8.06665 | − | 1.71462i | −0.925308 | − | 0.196680i | ||||
\(77\) | −0.451158 | + | 0.620966i | −0.0514143 | + | 0.0707657i | ||||
\(78\) | −2.10486 | + | 2.89710i | −0.238329 | + | 0.328032i | ||||
\(79\) | −0.100905 | − | 0.0214480i | −0.0113527 | − | 0.00241309i | 0.202232 | − | 0.979338i | \(-0.435181\pi\) |
−0.213585 | + | 0.976925i | \(0.568514\pi\) | |||||||
\(80\) | −0.867311 | + | 2.06101i | −0.0969683 | + | 0.230428i | ||||
\(81\) | −0.104528 | − | 0.994522i | −0.0116143 | − | 0.110502i | ||||
\(82\) | −0.359518 | − | 1.69140i | −0.0397021 | − | 0.186784i | ||||
\(83\) | 4.92316 | − | 11.0576i | 0.540387 | − | 1.21373i | −0.412655 | − | 0.910888i | \(-0.635398\pi\) |
0.953041 | − | 0.302841i | \(-0.0979350\pi\) | |||||||
\(84\) | −0.143726 | + | 0.159624i | −0.0156818 | + | 0.0174164i | ||||
\(85\) | 2.45210 | − | 0.0504127i | 0.265967 | − | 0.00546802i | ||||
\(86\) | −1.95122 | − | 2.16705i | −0.210405 | − | 0.233679i | ||||
\(87\) | −3.82969 | − | 2.21107i | −0.410586 | − | 0.237052i | ||||
\(88\) | −3.09469 | + | 1.78672i | −0.329895 | + | 0.190465i | ||||
\(89\) | −1.38124 | + | 4.25102i | −0.146411 | + | 0.450607i | −0.997190 | − | 0.0749170i | \(-0.976131\pi\) |
0.850779 | + | 0.525524i | \(0.176131\pi\) | |||||||
\(90\) | −0.279393 | − | 2.21854i | −0.0294506 | − | 0.233855i | ||||
\(91\) | −0.622282 | + | 0.452115i | −0.0652329 | + | 0.0473945i | ||||
\(92\) | 5.19077i | 0.541175i | ||||||||
\(93\) | −4.20668 | − | 3.64744i | −0.436212 | − | 0.378222i | ||||
\(94\) | −0.0311040 | −0.00320813 | ||||||||
\(95\) | 17.4172 | − | 6.05772i | 1.78696 | − | 0.621509i | ||||
\(96\) | −0.913545 | + | 0.406737i | −0.0932383 | + | 0.0415124i | ||||
\(97\) | −4.35753 | − | 1.41585i | −0.442440 | − | 0.143757i | 0.0793211 | − | 0.996849i | \(-0.474725\pi\) |
−0.521761 | + | 0.853092i | \(0.674725\pi\) | |||||||
\(98\) | 6.02222 | − | 3.47693i | 0.608336 | − | 0.351223i | ||||
\(99\) | 1.78672 | − | 3.09469i | 0.179572 | − | 0.311028i | ||||
\(100\) | −0.726578 | − | 4.94693i | −0.0726578 | − | 0.494693i | ||||
\(101\) | −4.47912 | − | 13.7853i | −0.445689 | − | 1.37169i | −0.881726 | − | 0.471761i | \(-0.843618\pi\) |
0.436037 | − | 0.899929i | \(-0.356382\pi\) | |||||||
\(102\) | 0.815114 | + | 0.733932i | 0.0807083 | + | 0.0726700i | ||||
\(103\) | 3.02576 | − | 6.79596i | 0.298137 | − | 0.669626i | −0.700911 | − | 0.713248i | \(-0.747223\pi\) |
0.999048 | + | 0.0436224i | \(0.0138898\pi\) | |||||||
\(104\) | −3.50276 | + | 0.744534i | −0.343474 | + | 0.0730076i | ||||
\(105\) | 0.0901816 | − | 0.471754i | 0.00880082 | − | 0.0460385i | ||||
\(106\) | −0.712477 | + | 6.77877i | −0.0692019 | + | 0.658412i | ||||
\(107\) | −2.95145 | + | 13.8855i | −0.285328 | + | 1.34236i | 0.568876 | + | 0.822423i | \(0.307379\pi\) |
−0.854204 | + | 0.519939i | \(0.825955\pi\) | |||||||
\(108\) | 0.587785 | − | 0.809017i | 0.0565597 | − | 0.0778477i | ||||
\(109\) | −4.89513 | − | 3.55652i | −0.468869 | − | 0.340653i | 0.328132 | − | 0.944632i | \(-0.393581\pi\) |
−0.797000 | + | 0.603979i | \(0.793581\pi\) | |||||||
\(110\) | 3.85214 | − | 7.00059i | 0.367287 | − | 0.667480i | ||||
\(111\) | −0.197054 | + | 1.87484i | −0.0187035 | + | 0.177952i | ||||
\(112\) | −0.213618 | + | 0.0224522i | −0.0201850 | + | 0.00212153i | ||||
\(113\) | 3.21730 | + | 15.1362i | 0.302658 | + | 1.42390i | 0.822077 | + | 0.569376i | \(0.192815\pi\) |
−0.519419 | + | 0.854520i | \(0.673852\pi\) | |||||||
\(114\) | 7.53388 | + | 3.35430i | 0.705613 | + | 0.314159i | ||||
\(115\) | −6.00884 | − | 9.93047i | −0.560327 | − | 0.926021i | ||||
\(116\) | −1.36652 | − | 4.20571i | −0.126878 | − | 0.390490i | ||||
\(117\) | 2.66121 | − | 2.39616i | 0.246029 | − | 0.221525i | ||||
\(118\) | −3.74408 | − | 2.16165i | −0.344671 | − | 0.198996i | ||||
\(119\) | 0.117798 | + | 0.204033i | 0.0107986 | + | 0.0187036i | ||||
\(120\) | 1.27687 | − | 1.83565i | 0.116561 | − | 0.167571i | ||||
\(121\) | 1.61647 | − | 0.719699i | 0.146952 | − | 0.0654272i | ||||
\(122\) | 5.45515 | + | 7.50837i | 0.493886 | + | 0.679776i | ||||
\(123\) | 1.72918i | 0.155915i | ||||||||
\(124\) | −0.685555 | − | 5.52540i | −0.0615646 | − | 0.496195i | ||||
\(125\) | 7.11659 | + | 8.62289i | 0.636527 | + | 0.771254i | ||||
\(126\) | 0.173773 | − | 0.126253i | 0.0154809 | − | 0.0112475i | ||||
\(127\) | −3.63392 | − | 8.16193i | −0.322459 | − | 0.724254i | 0.677478 | − | 0.735543i | \(-0.263073\pi\) |
−0.999936 | + | 0.0112894i | \(0.996406\pi\) | |||||||
\(128\) | −0.951057 | − | 0.309017i | −0.0840623 | − | 0.0273135i | ||||
\(129\) | 1.45802 | + | 2.52537i | 0.128372 | + | 0.222347i | ||||
\(130\) | 5.83926 | − | 5.47917i | 0.512137 | − | 0.480555i | ||||
\(131\) | −4.59625 | − | 5.10465i | −0.401576 | − | 0.445995i | 0.508110 | − | 0.861292i | \(-0.330344\pi\) |
−0.909686 | + | 0.415297i | \(0.863678\pi\) | |||||||
\(132\) | 3.39854 | − | 1.10425i | 0.295805 | − | 0.0961128i | ||||
\(133\) | 1.31640 | + | 1.18529i | 0.114146 | + | 0.102778i | ||||
\(134\) | 9.54475 | + | 4.24959i | 0.824540 | + | 0.367109i | ||||
\(135\) | −0.187974 | + | 2.22815i | −0.0161782 | + | 0.191769i | ||||
\(136\) | 0.114651 | + | 1.09083i | 0.00983127 | + | 0.0935383i | ||||
\(137\) | 1.47481 | + | 0.155009i | 0.126001 | + | 0.0132433i | 0.167319 | − | 0.985903i | \(-0.446489\pi\) |
−0.0413178 | + | 0.999146i | \(0.513156\pi\) | |||||||
\(138\) | 1.07922 | − | 5.07734i | 0.0918694 | − | 0.432212i | ||||
\(139\) | 11.6967 | + | 8.49816i | 0.992102 | + | 0.720804i | 0.960380 | − | 0.278693i | \(-0.0899011\pi\) |
0.0317214 | + | 0.999497i | \(0.489901\pi\) | |||||||
\(140\) | 0.382683 | − | 0.290238i | 0.0323426 | − | 0.0245296i | ||||
\(141\) | 0.0304243 | + | 0.00646688i | 0.00256219 | + | 0.000544609i | ||||
\(142\) | 11.3094 | + | 1.18867i | 0.949066 | + | 0.0997509i | ||||
\(143\) | 12.7264 | − | 1.33760i | 1.06424 | − | 0.111856i | ||||
\(144\) | 0.978148 | − | 0.207912i | 0.0815123 | − | 0.0173260i | ||||
\(145\) | 7.48282 | + | 6.46407i | 0.621415 | + | 0.536811i | ||||
\(146\) | 7.38117 | − | 8.19762i | 0.610870 | − | 0.678440i | ||||
\(147\) | −6.61352 | + | 2.14886i | −0.545474 | + | 0.177235i | ||||
\(148\) | −1.40095 | + | 1.26142i | −0.115158 | + | 0.103688i | ||||
\(149\) | 6.16594 | − | 10.6797i | 0.505133 | − | 0.874917i | −0.494849 | − | 0.868979i | \(-0.664777\pi\) |
0.999982 | − | 0.00593763i | \(-0.00189002\pi\) | |||||||
\(150\) | −0.317823 | + | 4.98989i | −0.0259502 | + | 0.407423i | ||||
\(151\) | 4.10821 | − | 12.6438i | 0.334322 | − | 1.02894i | −0.632734 | − | 0.774370i | \(-0.718067\pi\) |
0.967055 | − | 0.254567i | \(-0.0819328\pi\) | |||||||
\(152\) | 3.35430 | + | 7.53388i | 0.272070 | + | 0.611078i | ||||
\(153\) | −0.644708 | − | 0.887365i | −0.0521216 | − | 0.0717392i | ||||
\(154\) | 0.767557 | 0.0618515 | ||||||||
\(155\) | 7.70775 | + | 9.77705i | 0.619101 | + | 0.785311i | ||||
\(156\) | 3.58101 | 0.286710 | ||||||||
\(157\) | −9.06646 | − | 12.4789i | −0.723583 | − | 0.995926i | −0.999397 | − | 0.0347151i | \(-0.988948\pi\) |
0.275815 | − | 0.961211i | \(-0.411052\pi\) | |||||||
\(158\) | 0.0419586 | + | 0.0942407i | 0.00333805 | + | 0.00749738i | ||||
\(159\) | 2.10629 | − | 6.48251i | 0.167040 | − | 0.514096i | ||||
\(160\) | 2.17719 | − | 0.509764i | 0.172122 | − | 0.0403004i | ||||
\(161\) | 0.557476 | − | 0.965576i | 0.0439352 | − | 0.0760981i | ||||
\(162\) | −0.743145 | + | 0.669131i | −0.0583870 | + | 0.0525719i | ||||
\(163\) | 1.68927 | − | 0.548878i | 0.132314 | − | 0.0429914i | −0.242111 | − | 0.970248i | \(-0.577840\pi\) |
0.374425 | + | 0.927257i | \(0.377840\pi\) | |||||||
\(164\) | −1.15705 | + | 1.28503i | −0.0903504 | + | 0.100344i | ||||
\(165\) | −5.22347 | + | 6.04670i | −0.406646 | + | 0.470735i | ||||
\(166\) | −11.8395 | + | 2.51657i | −0.918926 | + | 0.195324i | ||||
\(167\) | 10.2180 | − | 1.07396i | 0.790695 | − | 0.0831054i | 0.299433 | − | 0.954117i | \(-0.403202\pi\) |
0.491262 | + | 0.871012i | \(0.336536\pi\) | |||||||
\(168\) | 0.213618 | + | 0.0224522i | 0.0164810 | + | 0.00173222i | ||||
\(169\) | −0.172512 | − | 0.0366685i | −0.0132701 | − | 0.00282066i | ||||
\(170\) | −1.48209 | − | 1.95416i | −0.113671 | − | 0.149877i | ||||
\(171\) | −6.67185 | − | 4.84738i | −0.510209 | − | 0.370689i | ||||
\(172\) | −0.606280 | + | 2.85232i | −0.0462284 | + | 0.217488i | ||||
\(173\) | −12.7088 | − | 1.33575i | −0.966232 | − | 0.101555i | −0.391749 | − | 0.920072i | \(-0.628130\pi\) |
−0.574482 | + | 0.818517i | \(0.694797\pi\) | |||||||
\(174\) | 0.462240 | + | 4.39792i | 0.0350423 | + | 0.333405i | ||||
\(175\) | −0.396131 | + | 0.998250i | −0.0299447 | + | 0.0754606i | ||||
\(176\) | 3.26450 | + | 1.45345i | 0.246071 | + | 0.109558i | ||||
\(177\) | 3.21283 | + | 2.89285i | 0.241491 | + | 0.217440i | ||||
\(178\) | 4.25102 | − | 1.38124i | 0.318627 | − | 0.103528i | ||||
\(179\) | −8.65239 | − | 9.60945i | −0.646710 | − | 0.718244i | 0.327257 | − | 0.944935i | \(-0.393876\pi\) |
−0.973967 | + | 0.226691i | \(0.927209\pi\) | |||||||
\(180\) | −1.63062 | + | 1.53006i | −0.121539 | + | 0.114044i | ||||
\(181\) | 10.9370 | + | 18.9435i | 0.812944 | + | 1.40806i | 0.910795 | + | 0.412860i | \(0.135470\pi\) |
−0.0978504 | + | 0.995201i | \(0.531197\pi\) | |||||||
\(182\) | 0.731537 | + | 0.237691i | 0.0542251 | + | 0.0176188i | ||||
\(183\) | −3.77486 | − | 8.47848i | −0.279046 | − | 0.626747i | ||||
\(184\) | 4.19942 | − | 3.05106i | 0.309585 | − | 0.224927i | ||||
\(185\) | 1.21994 | − | 4.03497i | 0.0896916 | − | 0.296657i | ||||
\(186\) | −0.478221 | + | 5.54719i | −0.0350649 | + | 0.406740i | ||||
\(187\) | − | 3.91950i | − | 0.286622i | ||||||
\(188\) | 0.0182825 | + | 0.0251636i | 0.00133339 | + | 0.00183525i | ||||
\(189\) | −0.196225 | + | 0.0873650i | −0.0142733 | + | 0.00635487i | ||||
\(190\) | −15.1384 | − | 10.5301i | −1.09825 | − | 0.763937i | ||||
\(191\) | 6.52346 | + | 11.2990i | 0.472021 | + | 0.817564i | 0.999487 | − | 0.0320116i | \(-0.0101913\pi\) |
−0.527467 | + | 0.849576i | \(0.676858\pi\) | |||||||
\(192\) | 0.866025 | + | 0.500000i | 0.0625000 | + | 0.0360844i | ||||
\(193\) | 1.24258 | − | 1.11883i | 0.0894432 | − | 0.0805350i | −0.623196 | − | 0.782065i | \(-0.714166\pi\) |
0.712639 | + | 0.701530i | \(0.247500\pi\) | |||||||
\(194\) | 1.41585 | + | 4.35753i | 0.101652 | + | 0.312852i | ||||
\(195\) | −6.85084 | + | 4.14538i | −0.490599 | + | 0.296857i | ||||
\(196\) | −6.35267 | − | 2.82839i | −0.453762 | − | 0.202028i | ||||
\(197\) | −1.96661 | − | 9.25220i | −0.140116 | − | 0.659192i | −0.991003 | − | 0.133843i | \(-0.957268\pi\) |
0.850887 | − | 0.525349i | \(-0.176065\pi\) | |||||||
\(198\) | −3.55386 | + | 0.373526i | −0.252562 | + | 0.0265453i | ||||
\(199\) | 1.30546 | − | 12.4206i | 0.0925416 | − | 0.880474i | −0.845506 | − | 0.533967i | \(-0.820701\pi\) |
0.938047 | − | 0.346508i | \(-0.112633\pi\) | |||||||
\(200\) | −3.57508 | + | 3.49554i | −0.252796 | + | 0.247172i | ||||
\(201\) | −8.45263 | − | 6.14119i | −0.596203 | − | 0.433166i | ||||
\(202\) | −8.51979 | + | 11.7265i | −0.599450 | + | 0.825073i | ||||
\(203\) | −0.197486 | + | 0.929098i | −0.0138608 | + | 0.0652099i | ||||
\(204\) | 0.114651 | − | 1.09083i | 0.00802720 | − | 0.0763737i | ||||
\(205\) | 0.725997 | − | 3.79780i | 0.0507058 | − | 0.265250i | ||||
\(206\) | −7.27654 | + | 1.54668i | −0.506981 | + | 0.107762i | ||||
\(207\) | −2.11128 | + | 4.74200i | −0.146744 | + | 0.329592i | ||||
\(208\) | 2.66121 | + | 2.39616i | 0.184522 | + | 0.166144i | ||||
\(209\) | −9.10662 | − | 28.0273i | −0.629918 | − | 1.93869i | ||||
\(210\) | −0.434665 | + | 0.204332i | −0.0299947 | + | 0.0141002i | ||||
\(211\) | −3.09045 | + | 5.35282i | −0.212756 | + | 0.368504i | −0.952576 | − | 0.304301i | \(-0.901577\pi\) |
0.739820 | + | 0.672804i | \(0.234910\pi\) | |||||||
\(212\) | 5.90292 | − | 3.40805i | 0.405415 | − | 0.234066i | ||||
\(213\) | −10.8152 | − | 3.51406i | −0.741042 | − | 0.240779i | ||||
\(214\) | 12.9684 | − | 5.77392i | 0.886503 | − | 0.394697i | ||||
\(215\) | −2.14198 | − | 6.15862i | −0.146082 | − | 0.420014i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | −0.465889 | + | 1.10145i | −0.0316266 | + | 0.0747713i | ||||
\(218\) | 6.05072i | 0.409806i | ||||||||
\(219\) | −8.92426 | + | 6.48385i | −0.603045 | + | 0.438138i | ||||
\(220\) | −7.92783 | + | 0.998394i | −0.534494 | + | 0.0673117i | ||||
\(221\) | 1.21376 | − | 3.73557i | 0.0816463 | − | 0.251281i | ||||
\(222\) | 1.63260 | − | 0.942583i | 0.109573 | − | 0.0632620i | ||||
\(223\) | 12.7192 | + | 7.34345i | 0.851742 | + | 0.491754i | 0.861238 | − | 0.508201i | \(-0.169689\pi\) |
−0.00949609 | + | 0.999955i | \(0.503023\pi\) | |||||||
\(224\) | 0.143726 | + | 0.159624i | 0.00960310 | + | 0.0106653i | ||||
\(225\) | 1.34833 | − | 4.81477i | 0.0898890 | − | 0.320985i | ||||
\(226\) | 10.3544 | − | 11.4997i | 0.688763 | − | 0.764948i | ||||
\(227\) | 11.7230 | − | 26.3302i | 0.778081 | − | 1.74760i | 0.122506 | − | 0.992468i | \(-0.460907\pi\) |
0.655574 | − | 0.755131i | \(-0.272427\pi\) | |||||||
\(228\) | −1.71462 | − | 8.06665i | −0.113553 | − | 0.534227i | ||||
\(229\) | −0.459715 | − | 4.37390i | −0.0303788 | − | 0.289035i | −0.999155 | − | 0.0410986i | \(-0.986914\pi\) |
0.968776 | − | 0.247937i | \(-0.0797525\pi\) | |||||||
\(230\) | −4.50201 | + | 10.6982i | −0.296854 | + | 0.705421i | ||||
\(231\) | −0.750784 | − | 0.159584i | −0.0493979 | − | 0.0104999i | ||||
\(232\) | −2.59927 | + | 3.57759i | −0.170651 | + | 0.234880i | ||||
\(233\) | 8.94016 | − | 12.3051i | 0.585689 | − | 0.806132i | −0.408615 | − | 0.912707i | \(-0.633988\pi\) |
0.994305 | + | 0.106574i | \(0.0339882\pi\) | |||||||
\(234\) | −3.50276 | − | 0.744534i | −0.228982 | − | 0.0486717i | ||||
\(235\) | −0.0641057 | − | 0.0269768i | −0.00418179 | − | 0.00175977i | ||||
\(236\) | 0.451907 | + | 4.29961i | 0.0294167 | + | 0.279881i | ||||
\(237\) | −0.0214480 | − | 0.100905i | −0.00139320 | − | 0.00655448i | ||||
\(238\) | 0.0958258 | − | 0.215228i | 0.00621146 | − | 0.0139512i | ||||
\(239\) | 4.85882 | − | 5.39626i | 0.314291 | − | 0.349055i | −0.565215 | − | 0.824944i | \(-0.691207\pi\) |
0.879506 | + | 0.475889i | \(0.157873\pi\) | |||||||
\(240\) | −2.23560 | + | 0.0459616i | −0.144307 | + | 0.00296681i | ||||
\(241\) | −4.82686 | − | 5.36078i | −0.310926 | − | 0.345318i | 0.567346 | − | 0.823479i | \(-0.307970\pi\) |
−0.878272 | + | 0.478161i | \(0.841303\pi\) | |||||||
\(242\) | −1.53239 | − | 0.884724i | −0.0985055 | − | 0.0568722i | ||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | 2.86794 | − | 8.82662i | 0.183601 | − | 0.565066i | ||||
\(245\) | 15.4275 | − | 1.94286i | 0.985624 | − | 0.124125i | ||||
\(246\) | 1.39894 | − | 1.01639i | 0.0891931 | − | 0.0648026i | ||||
\(247\) | − | 29.5321i | − | 1.87908i | ||||||
\(248\) | −4.06718 | + | 3.80237i | −0.258266 | + | 0.241451i | ||||
\(249\) | 12.1040 | 0.767062 | ||||||||
\(250\) | 2.79304 | − | 10.8258i | 0.176647 | − | 0.684687i | ||||
\(251\) | −15.8247 | + | 7.04562i | −0.998847 | + | 0.444715i | −0.839999 | − | 0.542588i | \(-0.817445\pi\) |
−0.158848 | + | 0.987303i | \(0.550778\pi\) | |||||||
\(252\) | −0.204282 | − | 0.0663753i | −0.0128686 | − | 0.00418125i | ||||
\(253\) | −16.0638 | + | 9.27444i | −1.00992 | + | 0.583079i | ||||
\(254\) | −4.46717 | + | 7.73737i | −0.280295 | + | 0.485486i | ||||
\(255\) | 1.04341 | + | 2.21960i | 0.0653410 | + | 0.138997i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −6.76542 | − | 6.09161i | −0.422015 | − | 0.379984i | 0.430583 | − | 0.902551i | \(-0.358308\pi\) |
−0.852598 | + | 0.522567i | \(0.824975\pi\) | |||||||
\(258\) | 1.18606 | − | 2.66394i | 0.0738411 | − | 0.165850i | ||||
\(259\) | 0.396076 | − | 0.0841885i | 0.0246110 | − | 0.00523122i | ||||
\(260\) | −7.86497 | − | 1.50348i | −0.487765 | − | 0.0932421i | ||||
\(261\) | 0.462240 | − | 4.39792i | 0.0286119 | − | 0.272224i | ||||
\(262\) | −1.42814 | + | 6.71888i | −0.0882309 | + | 0.415094i | ||||
\(263\) | 4.85313 | − | 6.67976i | 0.299257 | − | 0.411892i | −0.632736 | − | 0.774367i | \(-0.718068\pi\) |
0.931993 | + | 0.362475i | \(0.118068\pi\) | |||||||
\(264\) | −2.89097 | − | 2.10041i | −0.177927 | − | 0.129271i | ||||
\(265\) | −7.34772 | + | 13.3532i | −0.451367 | + | 0.820280i | ||||
\(266\) | 0.185160 | − | 1.76168i | 0.0113529 | − | 0.108016i | ||||
\(267\) | −4.44530 | + | 0.467220i | −0.272048 | + | 0.0285934i | ||||
\(268\) | −2.17227 | − | 10.2197i | −0.132692 | − | 0.624268i | ||||
\(269\) | 6.74398 | + | 3.00261i | 0.411188 | + | 0.183073i | 0.601896 | − | 0.798574i | \(-0.294412\pi\) |
−0.190709 | + | 0.981647i | \(0.561079\pi\) | |||||||
\(270\) | 1.91310 | − | 1.15760i | 0.116428 | − | 0.0704494i | ||||
\(271\) | −3.41464 | − | 10.5092i | −0.207425 | − | 0.638388i | −0.999605 | − | 0.0281008i | \(-0.991054\pi\) |
0.792180 | − | 0.610287i | \(-0.208946\pi\) | |||||||
\(272\) | 0.815114 | − | 0.733932i | 0.0494235 | − | 0.0445011i | ||||
\(273\) | −0.666132 | − | 0.384592i | −0.0403162 | − | 0.0232766i | ||||
\(274\) | −0.741466 | − | 1.28426i | −0.0447936 | − | 0.0775848i | ||||
\(275\) | 14.0110 | − | 11.0873i | 0.844895 | − | 0.668589i | ||||
\(276\) | −4.74200 | + | 2.11128i | −0.285435 | + | 0.127084i | ||||
\(277\) | 11.9888 | + | 16.5011i | 0.720336 | + | 0.991457i | 0.999513 | + | 0.0312176i | \(0.00993850\pi\) |
−0.279177 | + | 0.960240i | \(0.590062\pi\) | |||||||
\(278\) | − | 14.4579i | − | 0.867129i | ||||||
\(279\) | 1.62110 | − | 5.32654i | 0.0970525 | − | 0.318892i | ||||
\(280\) | −0.459743 | − | 0.138999i | −0.0274749 | − | 0.00830680i | ||||
\(281\) | −0.221437 | + | 0.160883i | −0.0132098 | + | 0.00959749i | −0.594371 | − | 0.804191i | \(-0.702599\pi\) |
0.581161 | + | 0.813789i | \(0.302599\pi\) | |||||||
\(282\) | −0.0126511 | − | 0.0284149i | −0.000753363 | − | 0.00169208i | ||||
\(283\) | −16.4588 | − | 5.34778i | −0.978373 | − | 0.317893i | −0.224182 | − | 0.974547i | \(-0.571971\pi\) |
−0.754191 | + | 0.656655i | \(0.771971\pi\) | |||||||
\(284\) | −5.68586 | − | 9.84820i | −0.337394 | − | 0.584383i | ||||
\(285\) | 12.6182 | + | 13.4475i | 0.747438 | + | 0.796559i | ||||
\(286\) | −8.56254 | − | 9.50966i | −0.506313 | − | 0.562318i | ||||
\(287\) | 0.353242 | − | 0.114775i | 0.0208512 | − | 0.00677496i | ||||
\(288\) | −0.743145 | − | 0.669131i | −0.0437902 | − | 0.0394289i | ||||
\(289\) | 14.4312 | + | 6.42519i | 0.848895 | + | 0.377952i | ||||
\(290\) | 0.831246 | − | 9.85321i | 0.0488125 | − | 0.578601i | ||||
\(291\) | −0.478926 | − | 4.55668i | −0.0280751 | − | 0.267117i | ||||
\(292\) | −10.9706 | − | 1.15305i | −0.642003 | − | 0.0674773i | ||||
\(293\) | −4.41369 | + | 20.7648i | −0.257850 | + | 1.21309i | 0.638457 | + | 0.769657i | \(0.279573\pi\) |
−0.896307 | + | 0.443433i | \(0.853760\pi\) | |||||||
\(294\) | 5.62579 | + | 4.08738i | 0.328103 | + | 0.238381i | ||||
\(295\) | −5.84178 | − | 7.70247i | −0.340122 | − | 0.448455i | ||||
\(296\) | 1.84397 | + | 0.391948i | 0.107179 | + | 0.0227815i | ||||
\(297\) | 3.55386 | + | 0.373526i | 0.206216 | + | 0.0216742i | ||||
\(298\) | −12.2643 | + | 1.28903i | −0.710453 | + | 0.0746716i | ||||
\(299\) | −18.1820 | + | 3.86470i | −1.05149 | + | 0.223501i | ||||
\(300\) | 4.22372 | − | 2.67586i | 0.243856 | − | 0.154491i | ||||
\(301\) | 0.419112 | − | 0.465471i | 0.0241572 | − | 0.0268293i | ||||
\(302\) | −12.6438 | + | 4.10821i | −0.727568 | + | 0.236401i | ||||
\(303\) | 10.7717 | − | 9.69887i | 0.618817 | − | 0.557186i | ||||
\(304\) | 4.12343 | − | 7.14199i | 0.236495 | − | 0.409621i | ||||
\(305\) | 4.73104 | + | 20.2062i | 0.270899 | + | 1.15700i | ||||
\(306\) | −0.338943 | + | 1.04316i | −0.0193761 | + | 0.0596335i | ||||
\(307\) | −10.5084 | − | 23.6023i | −0.599748 | − | 1.34706i | −0.917066 | − | 0.398736i | \(-0.869449\pi\) |
0.317318 | − | 0.948319i | \(-0.397218\pi\) | |||||||
\(308\) | −0.451158 | − | 0.620966i | −0.0257071 | − | 0.0353828i | ||||
\(309\) | 7.43911 | 0.423196 | ||||||||
\(310\) | 3.37930 | − | 11.9825i | 0.191931 | − | 0.680560i | ||||
\(311\) | −31.4231 | −1.78184 | −0.890921 | − | 0.454159i | \(-0.849940\pi\) | ||||
−0.890921 | + | 0.454159i | \(0.849940\pi\) | |||||||
\(312\) | −2.10486 | − | 2.89710i | −0.119165 | − | 0.164016i | ||||
\(313\) | 11.4957 | + | 25.8198i | 0.649776 | + | 1.45942i | 0.874513 | + | 0.485002i | \(0.161181\pi\) |
−0.224736 | + | 0.974420i | \(0.572152\pi\) | |||||||
\(314\) | −4.76652 | + | 14.6698i | −0.268990 | + | 0.827867i | ||||
\(315\) | 0.467649 | − | 0.109495i | 0.0263490 | − | 0.00616933i | ||||
\(316\) | 0.0515796 | − | 0.0893385i | 0.00290158 | − | 0.00502568i | ||||
\(317\) | −16.6157 | + | 14.9609i | −0.933231 | + | 0.840285i | −0.987400 | − | 0.158247i | \(-0.949416\pi\) |
0.0541683 | + | 0.998532i | \(0.482749\pi\) | |||||||
\(318\) | −6.48251 | + | 2.10629i | −0.363521 | + | 0.118115i | ||||
\(319\) | 10.5738 | − | 11.7434i | 0.592017 | − | 0.657502i | ||||
\(320\) | −1.69213 | − | 1.46175i | −0.0945927 | − | 0.0817143i | ||||
\(321\) | −13.8855 | + | 2.95145i | −0.775013 | + | 0.164734i | ||||
\(322\) | −1.10884 | + | 0.116544i | −0.0617934 | + | 0.00649475i | ||||
\(323\) | −8.99596 | − | 0.945514i | −0.500549 | − | 0.0526098i | ||||
\(324\) | 0.978148 | + | 0.207912i | 0.0543415 | + | 0.0115506i | ||||
\(325\) | 16.7869 | − | 6.22818i | 0.931171 | − | 0.345477i | ||||
\(326\) | −1.43698 | − | 1.04403i | −0.0795870 | − | 0.0578233i | ||||
\(327\) | 1.25801 | − | 5.91849i | 0.0695684 | − | 0.327293i | ||||
\(328\) | 1.71971 | + | 0.180749i | 0.0949552 | + | 0.00998019i | ||||
\(329\) | −0.000698353 | − | 0.00664438i | −3.85014e−5 | − | 0.000366317i | ||||
\(330\) | 7.96216 | + | 0.671712i | 0.438303 | + | 0.0369765i | ||||
\(331\) | 22.1159 | + | 9.84663i | 1.21560 | + | 0.541220i | 0.911453 | − | 0.411405i | \(-0.134962\pi\) |
0.304147 | + | 0.952625i | \(0.401629\pi\) | |||||||
\(332\) | 8.99506 | + | 8.09918i | 0.493668 | + | 0.444500i | ||||
\(333\) | −1.79290 | + | 0.582548i | −0.0982503 | + | 0.0319235i | ||||
\(334\) | −6.87486 | − | 7.63531i | −0.376176 | − | 0.417785i | ||||
\(335\) | 15.9861 | + | 17.0367i | 0.873415 | + | 0.930816i | ||||
\(336\) | −0.107398 | − | 0.186018i | −0.00585902 | − | 0.0101481i | ||||
\(337\) | −9.42879 | − | 3.06360i | −0.513619 | − | 0.166885i | 0.0407284 | − | 0.999170i | \(-0.487032\pi\) |
−0.554348 | + | 0.832285i | \(0.687032\pi\) | |||||||
\(338\) | 0.0717345 | + | 0.161118i | 0.00390184 | + | 0.00876368i | ||||
\(339\) | −12.5190 | + | 9.09561i | −0.679940 | + | 0.494005i | ||||
\(340\) | −0.709795 | + | 2.34766i | −0.0384940 | + | 0.127320i | ||||
\(341\) | 15.8745 | − | 11.9939i | 0.859651 | − | 0.649506i | ||||
\(342\) | 8.24686i | 0.445939i | ||||||||
\(343\) | 1.76172 | + | 2.42480i | 0.0951241 | + | 0.130927i | ||||
\(344\) | 2.66394 | − | 1.18606i | 0.143630 | − | 0.0639482i | ||||
\(345\) | 6.62792 | − | 9.52843i | 0.356835 | − | 0.512994i | ||||
\(346\) | 6.38940 | + | 11.0668i | 0.343496 | + | 0.594953i | ||||
\(347\) | −26.8935 | − | 15.5270i | −1.44372 | − | 0.833532i | −0.445624 | − | 0.895220i | \(-0.647018\pi\) |
−0.998095 | + | 0.0616883i | \(0.980352\pi\) | |||||||
\(348\) | 3.28629 | − | 2.95899i | 0.176164 | − | 0.158619i | ||||
\(349\) | 9.49260 | + | 29.2152i | 0.508127 | + | 1.56385i | 0.795449 | + | 0.606020i | \(0.207235\pi\) |
−0.287322 | + | 0.957834i | \(0.592765\pi\) | |||||||
\(350\) | 1.04044 | − | 0.266280i | 0.0556139 | − | 0.0142333i | ||||
\(351\) | 3.27142 | + | 1.45653i | 0.174615 | + | 0.0777437i | ||||
\(352\) | −0.742959 | − | 3.49535i | −0.0395999 | − | 0.186303i | ||||
\(353\) | 9.49390 | − | 0.997849i | 0.505309 | − | 0.0531102i | 0.151556 | − | 0.988449i | \(-0.451572\pi\) |
0.353754 | + | 0.935339i | \(0.384905\pi\) | |||||||
\(354\) | 0.451907 | − | 4.29961i | 0.0240186 | − | 0.228522i | ||||
\(355\) | 22.2779 | + | 12.2586i | 1.18239 | + | 0.650621i | ||||
\(356\) | −3.61613 | − | 2.62728i | −0.191655 | − | 0.139245i | ||||
\(357\) | −0.138480 | + | 0.190602i | −0.00732915 | + | 0.0100877i | ||||
\(358\) | −2.68846 | + | 12.6482i | −0.142090 | + | 0.668479i | ||||
\(359\) | −2.17440 | + | 20.6880i | −0.114760 | + | 1.09187i | 0.773900 | + | 0.633308i | \(0.218303\pi\) |
−0.888661 | + | 0.458565i | \(0.848363\pi\) | |||||||
\(360\) | 2.19630 | + | 0.419849i | 0.115755 | + | 0.0221280i | ||||
\(361\) | −47.9397 | + | 10.1899i | −2.52314 | + | 0.536310i | ||||
\(362\) | 8.89699 | − | 19.9830i | 0.467616 | − | 1.05028i | ||||
\(363\) | 1.31496 | + | 1.18399i | 0.0690173 | + | 0.0621434i | ||||
\(364\) | −0.237691 | − | 0.731537i | −0.0124584 | − | 0.0383430i | ||||
\(365\) | 22.3226 | − | 10.4936i | 1.16842 | − | 0.549262i | ||||
\(366\) | −4.64043 | + | 8.03746i | −0.242559 | + | 0.420125i | ||||
\(367\) | 26.8577 | − | 15.5063i | 1.40196 | − | 0.809421i | 0.407365 | − | 0.913265i | \(-0.366448\pi\) |
0.994594 | + | 0.103844i | \(0.0331142\pi\) | |||||||
\(368\) | −4.93671 | − | 1.60404i | −0.257344 | − | 0.0836161i | ||||
\(369\) | −1.57969 | + | 0.703323i | −0.0822353 | + | 0.0366135i | ||||
\(370\) | −3.98142 | + | 1.38475i | −0.206984 | + | 0.0719896i | ||||
\(371\) | −1.46407 | −0.0760106 | ||||||||
\(372\) | 4.76886 | − | 2.87367i | 0.247254 | − | 0.148993i | ||||
\(373\) | 15.7230i | 0.814104i | 0.913405 | + | 0.407052i | \(0.133443\pi\) | ||||
−0.913405 | + | 0.407052i | \(0.866557\pi\) | |||||||
\(374\) | −3.17094 | + | 2.30382i | −0.163966 | + | 0.119128i | ||||
\(375\) | −4.98282 | + | 10.0086i | −0.257312 | + | 0.516840i | ||||
\(376\) | 0.00961166 | − | 0.0295816i | 0.000495683 | − | 0.00152556i | ||||
\(377\) | 13.7142 | − | 7.91787i | 0.706315 | − | 0.407791i | ||||
\(378\) | 0.186018 | + | 0.107398i | 0.00956773 | + | 0.00552393i | ||||
\(379\) | 19.8420 | + | 22.0368i | 1.01921 | + | 1.13195i | 0.991204 | + | 0.132345i | \(0.0422507\pi\) |
0.0280110 | + | 0.999608i | \(0.491083\pi\) | |||||||
\(380\) | 0.379039 | + | 18.4366i | 0.0194443 | + | 0.945780i | ||||
\(381\) | 5.97824 | − | 6.63951i | 0.306275 | − | 0.340152i | ||||
\(382\) | 5.30666 | − | 11.9190i | 0.271512 | − | 0.609827i | ||||
\(383\) | 1.22511 | + | 5.76371i | 0.0626004 | + | 0.294512i | 0.998300 | − | 0.0582863i | \(-0.0185636\pi\) |
−0.935700 | + | 0.352798i | \(0.885230\pi\) | |||||||
\(384\) | −0.104528 | − | 0.994522i | −0.00533420 | − | 0.0507515i | ||||
\(385\) | 1.58194 | + | 0.665710i | 0.0806233 | + | 0.0339277i | ||||
\(386\) | −1.63552 | − | 0.347641i | −0.0832460 | − | 0.0176945i | ||||
\(387\) | −1.71401 | + | 2.35913i | −0.0871280 | + | 0.119921i | ||||
\(388\) | 2.69310 | − | 3.70674i | 0.136721 | − | 0.188181i | ||||
\(389\) | −13.7665 | − | 2.92616i | −0.697990 | − | 0.148362i | −0.154767 | − | 0.987951i | \(-0.549463\pi\) |
−0.543223 | + | 0.839588i | \(0.682796\pi\) | |||||||
\(390\) | 7.38051 | + | 3.10585i | 0.373726 | + | 0.157271i | ||||
\(391\) | 0.595129 | + | 5.66227i | 0.0300969 | + | 0.286353i | ||||
\(392\) | 1.44579 | + | 6.80190i | 0.0730234 | + | 0.343548i | ||||
\(393\) | 2.79387 | − | 6.27513i | 0.140932 | − | 0.316538i | ||||
\(394\) | −6.32924 | + | 7.02933i | −0.318862 | + | 0.354132i | ||||
\(395\) | 0.00474136 | + | 0.230622i | 0.000238564 | + | 0.0116039i | ||||
\(396\) | 2.39110 | + | 2.65558i | 0.120157 | + | 0.133448i | ||||
\(397\) | 12.6535 | + | 7.30551i | 0.635062 | + | 0.366653i | 0.782710 | − | 0.622387i | \(-0.213837\pi\) |
−0.147648 | + | 0.989040i | \(0.547170\pi\) | |||||||
\(398\) | −10.8158 | + | 6.24452i | −0.542148 | + | 0.313009i | ||||
\(399\) | −0.547388 | + | 1.68469i | −0.0274037 | + | 0.0843399i | ||||
\(400\) | 4.92933 | + | 0.837668i | 0.246467 | + | 0.0418834i | ||||
\(401\) | 18.3249 | − | 13.3138i | 0.915103 | − | 0.664861i | −0.0271972 | − | 0.999630i | \(-0.508658\pi\) |
0.942300 | + | 0.334769i | \(0.108658\pi\) | |||||||
\(402\) | 10.4480i | 0.521100i | ||||||||
\(403\) | 18.8437 | − | 6.51518i | 0.938672 | − | 0.324544i | ||||
\(404\) | 14.4947 | 0.721140 | ||||||||
\(405\) | −2.11197 | + | 0.734549i | −0.104945 | + | 0.0365000i | ||||
\(406\) | 0.867736 | − | 0.386341i | 0.0430650 | − | 0.0191738i | ||||
\(407\) | −6.40681 | − | 2.08170i | −0.317574 | − | 0.103186i | ||||
\(408\) | −0.949894 | + | 0.548422i | −0.0470268 | + | 0.0271509i | ||||
\(409\) | 2.50816 | − | 4.34426i | 0.124020 | − | 0.214810i | −0.797329 | − | 0.603545i | \(-0.793754\pi\) |
0.921350 | + | 0.388735i | \(0.127088\pi\) | |||||||
\(410\) | −3.49922 | + | 1.64495i | −0.172814 | + | 0.0812383i | ||||
\(411\) | 0.458251 | + | 1.41035i | 0.0226039 | + | 0.0695675i | ||||
\(412\) | 5.52833 | + | 4.97773i | 0.272361 | + | 0.245235i | ||||
\(413\) | 0.377705 | − | 0.848339i | 0.0185856 | − | 0.0417440i | ||||
\(414\) | 5.07734 | − | 1.07922i | 0.249537 | − | 0.0530408i | ||||
\(415\) | −26.5841 | − | 5.08187i | −1.30496 | − | 0.249459i | ||||
\(416\) | 0.374317 | − | 3.56139i | 0.0183524 | − | 0.174612i | ||||
\(417\) | −3.00597 | + | 14.1420i | −0.147203 | + | 0.692536i | ||||
\(418\) | −17.3218 | + | 23.8414i | −0.847238 | + | 1.16612i | ||||
\(419\) | −9.30984 | − | 6.76400i | −0.454816 | − | 0.330443i | 0.336679 | − | 0.941620i | \(-0.390696\pi\) |
−0.791494 | + | 0.611177i | \(0.790696\pi\) | |||||||
\(420\) | 0.420797 | + | 0.231548i | 0.0205328 | + | 0.0112984i | ||||
\(421\) | 2.83051 | − | 26.9305i | 0.137951 | − | 1.31251i | −0.678288 | − | 0.734796i | \(-0.737278\pi\) |
0.816238 | − | 0.577715i | \(-0.196056\pi\) | |||||||
\(422\) | 6.14705 | − | 0.646081i | 0.299234 | − | 0.0314507i | ||||
\(423\) | 0.00646688 | + | 0.0304243i | 0.000314430 | + | 0.00147928i | ||||
\(424\) | −6.22683 | − | 2.77236i | −0.302401 | − | 0.134638i | ||||
\(425\) | −1.35975 | − | 5.31298i | −0.0659575 | − | 0.257717i | ||||
\(426\) | 3.51406 | + | 10.8152i | 0.170257 | + | 0.523996i | ||||
\(427\) | −1.48145 | + | 1.33390i | −0.0716922 | + | 0.0645519i | ||||
\(428\) | −12.2938 | − | 7.09786i | −0.594246 | − | 0.343088i | ||||
\(429\) | 6.39826 | + | 11.0821i | 0.308911 | + | 0.535049i | ||||
\(430\) | −3.72340 | + | 5.35284i | −0.179558 | + | 0.258137i | ||||
\(431\) | −31.1729 | + | 13.8791i | −1.50155 | + | 0.668532i | −0.982508 | − | 0.186218i | \(-0.940377\pi\) |
−0.519040 | + | 0.854750i | \(0.673710\pi\) | |||||||
\(432\) | 0.587785 | + | 0.809017i | 0.0282798 | + | 0.0389238i | ||||
\(433\) | 38.2081i | 1.83616i | 0.396391 | + | 0.918082i | \(0.370263\pi\) | ||||
−0.396391 | + | 0.918082i | \(0.629737\pi\) | |||||||
\(434\) | 1.16493 | − | 0.270504i | 0.0559186 | − | 0.0129846i | ||||
\(435\) | −2.86168 | + | 9.46507i | −0.137207 | + | 0.453815i | ||||
\(436\) | 4.89513 | − | 3.55652i | 0.234434 | − | 0.170326i | ||||
\(437\) | 17.4114 | + | 39.1066i | 0.832900 | + | 1.87072i | ||||
\(438\) | 10.4911 | + | 3.40876i | 0.501284 | + | 0.162877i | ||||
\(439\) | 0.292378 | + | 0.506414i | 0.0139545 | + | 0.0241698i | 0.872918 | − | 0.487866i | \(-0.162225\pi\) |
−0.858964 | + | 0.512036i | \(0.828891\pi\) | |||||||
\(440\) | 5.46758 | + | 5.82691i | 0.260657 | + | 0.277787i | ||||
\(441\) | −4.65304 | − | 5.16773i | −0.221573 | − | 0.246082i | ||||
\(442\) | −3.73557 | + | 1.21376i | −0.177683 | + | 0.0577326i | ||||
\(443\) | −10.6204 | − | 9.56261i | −0.504588 | − | 0.454333i | 0.377095 | − | 0.926174i | \(-0.376923\pi\) |
−0.881684 | + | 0.471841i | \(0.843590\pi\) | |||||||
\(444\) | −1.72219 | − | 0.766766i | −0.0817313 | − | 0.0363891i | ||||
\(445\) | 9.95937 | + | 0.840202i | 0.472119 | + | 0.0398294i | ||||
\(446\) | −1.53520 | − | 14.6064i | −0.0726938 | − | 0.691635i | ||||
\(447\) | 12.2643 | + | 1.28903i | 0.580082 | + | 0.0609691i | ||||
\(448\) | 0.0446584 | − | 0.210101i | 0.00210991 | − | 0.00992635i | ||||
\(449\) | 19.6373 | + | 14.2674i | 0.926743 | + | 0.673318i | 0.945193 | − | 0.326511i | \(-0.105873\pi\) |
−0.0184500 | + | 0.999830i | \(0.505873\pi\) | |||||||
\(450\) | −4.68776 | + | 1.73922i | −0.220983 | + | 0.0819878i | ||||
\(451\) | −6.04410 | − | 1.28471i | −0.284606 | − | 0.0604948i | ||||
\(452\) | −15.3896 | − | 1.61751i | −0.723866 | − | 0.0760814i | ||||
\(453\) | 13.2216 | − | 1.38965i | 0.621206 | − | 0.0652914i | ||||
\(454\) | −28.1922 | + | 5.99243i | −1.32312 | + | 0.281239i | ||||
\(455\) | 1.30155 | + | 1.12435i | 0.0610178 | + | 0.0527105i | ||||
\(456\) | −5.51823 | + | 6.12861i | −0.258415 | + | 0.286999i | ||||
\(457\) | 38.7939 | − | 12.6049i | 1.81470 | − | 0.589632i | 0.814749 | − | 0.579814i | \(-0.196875\pi\) |
0.999952 | − | 0.00981859i | \(-0.00312541\pi\) | |||||||
\(458\) | −3.26834 | + | 2.94283i | −0.152720 | + | 0.137509i | ||||
\(459\) | 0.548422 | − | 0.949894i | 0.0255981 | − | 0.0443373i | ||||
\(460\) | 11.3013 | − | 2.64606i | 0.526924 | − | 0.123373i | ||||
\(461\) | −8.40924 | + | 25.8810i | −0.391657 | + | 1.20540i | 0.539877 | + | 0.841744i | \(0.318471\pi\) |
−0.931534 | + | 0.363654i | \(0.881529\pi\) | |||||||
\(462\) | 0.312193 | + | 0.701198i | 0.0145246 | + | 0.0326227i | ||||
\(463\) | 18.1827 | + | 25.0263i | 0.845021 | + | 1.16307i | 0.984938 | + | 0.172909i | \(0.0553166\pi\) |
−0.139916 | + | 0.990163i | \(0.544683\pi\) | |||||||
\(464\) | 4.42214 | 0.205293 | ||||||||
\(465\) | −5.79675 | + | 11.0181i | −0.268818 | + | 0.510950i | ||||
\(466\) | −15.2099 | −0.704586 | ||||||||
\(467\) | −2.95885 | − | 4.07250i | −0.136919 | − | 0.188453i | 0.735051 | − | 0.678011i | \(-0.237158\pi\) |
−0.871971 | + | 0.489558i | \(0.837158\pi\) | |||||||
\(468\) | 1.45653 | + | 3.27142i | 0.0673280 | + | 0.151221i | ||||
\(469\) | −0.693491 | + | 2.13435i | −0.0320224 | + | 0.0985550i | ||||
\(470\) | 0.0158557 | + | 0.0677191i | 0.000731368 | + | 0.00312365i | ||||
\(471\) | 7.71239 | − | 13.3583i | 0.355368 | − | 0.615516i | ||||
\(472\) | 3.21283 | − | 2.89285i | 0.147883 | − | 0.133154i | ||||
\(473\) | −9.91030 | + | 3.22005i | −0.455676 | + | 0.148058i | ||||
\(474\) | −0.0690270 | + | 0.0766623i | −0.00317052 | + | 0.00352121i | ||||
\(475\) | −22.0674 | − | 34.8324i | −1.01252 | − | 1.59822i | ||||
\(476\) | −0.230448 | + | 0.0489833i | −0.0105626 | + | 0.00224515i | ||||
\(477\) | 6.77877 | − | 0.712477i | 0.310379 | − | 0.0326221i | ||||
\(478\) | −7.22161 | − | 0.759022i | −0.330309 | − | 0.0347168i | ||||
\(479\) | −18.0188 | − | 3.83001i | −0.823298 | − | 0.174997i | −0.223046 | − | 0.974808i | \(-0.571600\pi\) |
−0.600252 | + | 0.799811i | \(0.704933\pi\) | |||||||
\(480\) | 1.35123 | + | 1.78162i | 0.0616751 | + | 0.0813194i | ||||
\(481\) | −5.46151 | − | 3.96802i | −0.249024 | − | 0.180926i | ||||
\(482\) | −1.49980 | + | 7.05600i | −0.0683140 | + | 0.321392i | ||||
\(483\) | 1.10884 | + | 0.116544i | 0.0504541 | + | 0.00530294i | ||||
\(484\) | 0.184958 | + | 1.75975i | 0.00840716 | + | 0.0799888i | ||||
\(485\) | −0.861253 | + | 10.2089i | −0.0391075 | + | 0.463562i | ||||
\(486\) | −0.913545 | − | 0.406737i | −0.0414393 | − | 0.0184499i | ||||
\(487\) | 26.1573 | + | 23.5521i | 1.18530 | + | 1.06725i | 0.996359 | + | 0.0852604i | \(0.0271722\pi\) |
0.188941 | + | 0.981988i | \(0.439494\pi\) | |||||||
\(488\) | −8.82662 | + | 2.86794i | −0.399562 | + | 0.129826i | ||||
\(489\) | 1.18851 | + | 1.31998i | 0.0537464 | + | 0.0596915i | ||||
\(490\) | −10.6398 | − | 11.3391i | −0.480659 | − | 0.512248i | ||||
\(491\) | 20.1147 | + | 34.8397i | 0.907765 | + | 1.57229i | 0.817163 | + | 0.576407i | \(0.195546\pi\) |
0.0906018 | + | 0.995887i | \(0.471121\pi\) | |||||||
\(492\) | −1.64455 | − | 0.534347i | −0.0741421 | − | 0.0240902i | ||||
\(493\) | −1.97284 | − | 4.43106i | −0.0888520 | − | 0.199565i | ||||
\(494\) | −23.8920 | + | 17.3585i | −1.07495 | + | 0.780997i | ||||
\(495\) | −7.64851 | − | 2.31246i | −0.343775 | − | 0.103937i | ||||
\(496\) | 5.46681 | + | 1.05544i | 0.245467 | + | 0.0473907i | ||||
\(497\) | 2.44259i | 0.109565i | ||||||||
\(498\) | −7.11458 | − | 9.79237i | −0.318812 | − | 0.438807i | ||||
\(499\) | 11.8586 | − | 5.27979i | 0.530864 | − | 0.236356i | −0.123758 | − | 0.992312i | \(-0.539495\pi\) |
0.654622 | + | 0.755957i | \(0.272828\pi\) | |||||||
\(500\) | −10.4000 | + | 4.10366i | −0.465102 | + | 0.183521i | ||||
\(501\) | 5.13716 | + | 8.89782i | 0.229511 | + | 0.397525i | ||||
\(502\) | 15.0016 | + | 8.66115i | 0.669552 | + | 0.386566i | ||||
\(503\) | 15.0021 | − | 13.5079i | 0.668910 | − | 0.602289i | −0.263080 | − | 0.964774i | \(-0.584738\pi\) |
0.931990 | + | 0.362485i | \(0.118072\pi\) | |||||||
\(504\) | 0.0663753 | + | 0.204282i | 0.00295659 | + | 0.00909946i | ||||
\(505\) | −27.7299 | + | 16.7791i | −1.23396 | + | 0.746662i | ||||
\(506\) | 16.9452 | + | 7.54451i | 0.753308 | + | 0.335394i | ||||
\(507\) | −0.0366685 | − | 0.172512i | −0.00162851 | − | 0.00766152i | ||||
\(508\) | 8.88540 | − | 0.933893i | 0.394226 | − | 0.0414348i | ||||
\(509\) | −0.775590 | + | 7.37925i | −0.0343774 | + | 0.327079i | 0.963795 | + | 0.266645i | \(0.0859152\pi\) |
−0.998172 | + | 0.0604342i | \(0.980751\pi\) | |||||||
\(510\) | 1.18239 | − | 2.14879i | 0.0523571 | − | 0.0951498i | ||||
\(511\) | 1.91689 | + | 1.39270i | 0.0847981 | + | 0.0616094i | ||||
\(512\) | 0.587785 | − | 0.809017i | 0.0259767 | − | 0.0357538i | ||||
\(513\) | 1.71462 | − | 8.06665i | 0.0757023 | − | 0.356151i | ||||
\(514\) | −0.951603 | + | 9.05390i | −0.0419734 | + | 0.399350i | ||||
\(515\) | −16.3385 | − | 3.12330i | −0.719960 | − | 0.137629i | ||||
\(516\) | −2.85232 | + | 0.606280i | −0.125567 | + | 0.0266900i | ||||
\(517\) | −0.0452080 | + | 0.101539i | −0.00198825 | + | 0.00446567i | ||||
\(518\) | −0.300918 | − | 0.270947i | −0.0132216 | − | 0.0119047i | ||||
\(519\) | −3.94887 | − | 12.1534i | −0.173336 | − | 0.533473i | ||||
\(520\) | 3.40657 | + | 7.24662i | 0.149388 | + | 0.317785i | ||||
\(521\) | −2.80767 | + | 4.86302i | −0.123006 | + | 0.213053i | −0.920952 | − | 0.389677i | \(-0.872587\pi\) |
0.797946 | + | 0.602729i | \(0.205920\pi\) | |||||||
\(522\) | −3.82969 | + | 2.21107i | −0.167621 | + | 0.0967760i | ||||
\(523\) | 26.2176 | + | 8.51861i | 1.14642 | + | 0.372493i | 0.819792 | − | 0.572662i | \(-0.194089\pi\) |
0.326623 | + | 0.945155i | \(0.394089\pi\) | |||||||
\(524\) | 6.27513 | − | 2.79387i | 0.274130 | − | 0.122051i | ||||
\(525\) | −1.07307 | + | 0.0441411i | −0.0468325 | + | 0.00192647i | ||||
\(526\) | −8.25664 | −0.360007 | ||||||||
\(527\) | −1.38132 | − | 5.94870i | −0.0601713 | − | 0.259129i | ||||
\(528\) | 3.57344i | 0.155514i | ||||||||
\(529\) | 3.19082 | − | 2.31826i | 0.138731 | − | 0.100794i | ||||
\(530\) | 15.1218 | − | 1.90437i | 0.656851 | − | 0.0827207i | ||||
\(531\) | −1.33597 | + | 4.11170i | −0.0579762 | + | 0.178433i | ||||
\(532\) | −1.53406 | + | 0.885693i | −0.0665101 | + | 0.0383996i | ||||
\(533\) | −5.36262 | − | 3.09611i | −0.232281 | − | 0.134108i | ||||
\(534\) | 2.99087 | + | 3.32170i | 0.129428 | + | 0.143744i | ||||
\(535\) | 31.7359 | − | 0.652457i | 1.37206 | − | 0.0282082i | ||||
\(536\) | −6.99109 | + | 7.76440i | −0.301969 | + | 0.335371i | ||||
\(537\) | 5.25943 | − | 11.8129i | 0.226961 | − | 0.509763i | ||||
\(538\) | −1.53485 | − | 7.22088i | −0.0661719 | − | 0.311314i | ||||
\(539\) | −2.59745 | − | 24.7131i | −0.111880 | − | 1.06447i | ||||
\(540\) | −2.06101 | − | 0.867311i | −0.0886919 | − | 0.0373231i | ||||
\(541\) | −8.23942 | − | 1.75134i | −0.354240 | − | 0.0752961i | 0.0273545 | − | 0.999626i | \(-0.491292\pi\) |
−0.381595 | + | 0.924330i | \(0.624625\pi\) | |||||||
\(542\) | −6.49504 | + | 8.93965i | −0.278986 | + | 0.383991i | ||||
\(543\) | −12.8573 | + | 17.6965i | −0.551758 | + | 0.759430i | ||||
\(544\) | −1.07287 | − | 0.228047i | −0.0459991 | − | 0.00977742i | ||||
\(545\) | −5.24785 | + | 12.4706i | −0.224793 | + | 0.534182i | ||||
\(546\) | 0.0804016 | + | 0.764970i | 0.00344087 | + | 0.0327377i | ||||
\(547\) | −8.57490 | − | 40.3417i | −0.366636 | − | 1.72489i | −0.644797 | − | 0.764354i | \(-0.723058\pi\) |
0.278161 | − | 0.960534i | \(-0.410275\pi\) | |||||||
\(548\) | −0.603163 | + | 1.35473i | −0.0257658 | + | 0.0578710i | ||||
\(549\) | 6.21010 | − | 6.89702i | 0.265041 | − | 0.294358i | ||||
\(550\) | −17.2053 | − | 4.81819i | −0.733635 | − | 0.205448i | ||||
\(551\) | −24.4024 | − | 27.1016i | −1.03958 | − | 1.15457i | ||||
\(552\) | 4.49534 | + | 2.59538i | 0.191334 | + | 0.110467i | ||||
\(553\) | −0.0191895 | + | 0.0110790i | −0.000816020 | + | 0.000471129i | ||||
\(554\) | 6.30287 | − | 19.3983i | 0.267783 | − | 0.824153i | ||||
\(555\) | 4.18233 | − | 0.526703i | 0.177530 | − | 0.0223573i | ||||
\(556\) | −11.6967 | + | 8.49816i | −0.496051 | + | 0.360402i | ||||
\(557\) | 19.0402i | 0.806759i | 0.915033 | + | 0.403379i | \(0.132164\pi\) | ||||
−0.915033 | + | 0.403379i | \(0.867836\pi\) | |||||||
\(558\) | −5.26212 | + | 1.81937i | −0.222763 | + | 0.0770200i | ||||
\(559\) | −10.4424 | −0.441666 | ||||||||
\(560\) | 0.157778 | + | 0.453642i | 0.00666732 | + | 0.0191699i | ||||
\(561\) | 3.58064 | − | 1.59420i | 0.151175 | − | 0.0673074i | ||||
\(562\) | 0.260315 | + | 0.0845813i | 0.0109807 | + | 0.00356785i | ||||
\(563\) | −36.5408 | + | 21.0968i | −1.54001 | + | 0.889126i | −0.541174 | + | 0.840910i | \(0.682020\pi\) |
−0.998837 | + | 0.0482154i | \(0.984647\pi\) | |||||||
\(564\) | −0.0155520 | + | 0.0269368i | −0.000654857 | + | 0.00113425i | ||||
\(565\) | 31.3143 | − | 14.7206i | 1.31740 | − | 0.619299i | ||||
\(566\) | 5.34778 | + | 16.4588i | 0.224784 | + | 0.691814i | ||||
\(567\) | −0.159624 | − | 0.143726i | −0.00670357 | − | 0.00603592i | ||||
\(568\) | −4.62530 | + | 10.3886i | −0.194073 | + | 0.435895i | ||||
\(569\) | −18.8862 | + | 4.01438i | −0.791750 | + | 0.168292i | −0.585998 | − | 0.810313i | \(-0.699297\pi\) |
−0.205752 | + | 0.978604i | \(0.565964\pi\) | |||||||
\(570\) | 3.46244 | − | 18.1126i | 0.145026 | − | 0.758652i | ||||
\(571\) | 1.18617 | − | 11.2857i | 0.0496398 | − | 0.472292i | −0.941259 | − | 0.337685i | \(-0.890356\pi\) |
0.990899 | − | 0.134607i | \(-0.0429771\pi\) | |||||||
\(572\) | −2.66054 | + | 12.5169i | −0.111243 | + | 0.523357i | ||||
\(573\) | −7.66879 | + | 10.5552i | −0.320368 | + | 0.440949i | ||||
\(574\) | −0.300485 | − | 0.218315i | −0.0125420 | − | 0.00911231i | ||||
\(575\) | −18.5574 | + | 18.1446i | −0.773897 | + | 0.756680i | ||||
\(576\) | −0.104528 | + | 0.994522i | −0.00435535 | + | 0.0414384i | ||||
\(577\) | −38.7736 | + | 4.07527i | −1.61417 | + | 0.169656i | −0.868160 | − | 0.496284i | \(-0.834698\pi\) |
−0.746006 | + | 0.665939i | \(0.768031\pi\) | |||||||
\(578\) | −3.28437 | − | 15.4517i | −0.136612 | − | 0.642707i | ||||
\(579\) | 1.52750 | + | 0.680089i | 0.0634809 | + | 0.0282635i | ||||
\(580\) | −8.46001 | + | 5.11908i | −0.351283 | + | 0.212558i | ||||
\(581\) | −0.803410 | − | 2.47264i | −0.0333311 | − | 0.102582i | ||||
\(582\) | −3.40492 | + | 3.06581i | −0.141139 | + | 0.127082i | ||||
\(583\) | 21.0937 | + | 12.1785i | 0.873613 | + | 0.504381i | ||||
\(584\) | 5.51549 | + | 9.55312i | 0.228233 | + | 0.395311i | ||||
\(585\) | −6.57348 | − | 4.57247i | −0.271780 | − | 0.189048i | ||||
\(586\) | 19.3933 | − | 8.63447i | 0.801132 | − | 0.356687i | ||||
\(587\) | 1.92402 | + | 2.64819i | 0.0794128 | + | 0.109302i | 0.846875 | − | 0.531791i | \(-0.178481\pi\) |
−0.767463 | + | 0.641094i | \(0.778481\pi\) | |||||||
\(588\) | − | 6.95386i | − | 0.286772i | ||||||
\(589\) | −23.6987 | − | 39.3281i | −0.976489 | − | 1.62049i | ||||
\(590\) | −2.79771 | + | 9.25350i | −0.115180 | + | 0.380960i | ||||
\(591\) | 7.65241 | − | 5.55980i | 0.314778 | − | 0.228700i | ||||
\(592\) | −0.766766 | − | 1.72219i | −0.0315139 | − | 0.0707814i | ||||
\(593\) | −15.7998 | − | 5.13365i | −0.648818 | − | 0.210814i | −0.0339251 | − | 0.999424i | \(-0.510801\pi\) |
−0.614893 | + | 0.788611i | \(0.710801\pi\) | |||||||
\(594\) | −1.78672 | − | 3.09469i | −0.0733099 | − | 0.126977i | ||||
\(595\) | 0.384168 | − | 0.360477i | 0.0157493 | − | 0.0147781i | ||||
\(596\) | 8.25164 | + | 9.16437i | 0.338000 | + | 0.375387i | ||||
\(597\) | 11.8778 | − | 3.85932i | 0.486125 | − | 0.157952i | ||||
\(598\) | 13.8137 | + | 12.4379i | 0.564885 | + | 0.508625i | ||||
\(599\) | 8.71724 | + | 3.88117i | 0.356177 | + | 0.158580i | 0.577022 | − | 0.816729i | \(-0.304215\pi\) |
−0.220845 | + | 0.975309i | \(0.570881\pi\) | |||||||
\(600\) | −4.64745 | − | 1.84423i | −0.189731 | − | 0.0752903i | ||||
\(601\) | 3.01120 | + | 28.6496i | 0.122829 | + | 1.16864i | 0.866177 | + | 0.499737i | \(0.166570\pi\) |
−0.743348 | + | 0.668905i | \(0.766763\pi\) | |||||||
\(602\) | −0.622921 | − | 0.0654717i | −0.0253884 | − | 0.00266843i | ||||
\(603\) | 2.17227 | − | 10.2197i | 0.0884615 | − | 0.416179i | ||||
\(604\) | 10.7554 | + | 7.81429i | 0.437633 | + | 0.317959i | ||||
\(605\) | −2.39094 | − | 3.15248i | −0.0972054 | − | 0.128167i | ||||
\(606\) | −14.1780 | − | 3.01363i | −0.575942 | − | 0.122420i | ||||
\(607\) | −39.1134 | − | 4.11098i | −1.58756 | − | 0.166860i | −0.730808 | − | 0.682583i | \(-0.760856\pi\) |
−0.856755 | + | 0.515724i | \(0.827523\pi\) | |||||||
\(608\) | −8.20168 | + | 0.862032i | −0.332622 | + | 0.0349600i | ||||
\(609\) | −0.929098 | + | 0.197486i | −0.0376490 | + | 0.00800253i | ||||
\(610\) | 13.5663 | − | 15.7044i | 0.549283 | − | 0.635851i | ||||
\(611\) | −0.0745302 | + | 0.0827742i | −0.00301517 | + | 0.00334868i | ||||
\(612\) | 1.04316 | − | 0.338943i | 0.0421672 | − | 0.0137010i | ||||
\(613\) | −10.3947 | + | 9.35942i | −0.419837 | + | 0.378023i | −0.851799 | − | 0.523869i | \(-0.824488\pi\) |
0.431962 | + | 0.901892i | \(0.357822\pi\) | |||||||
\(614\) | −12.9180 | + | 22.3746i | −0.521327 | + | 0.902965i | ||||
\(615\) | 3.76476 | − | 0.881475i | 0.151810 | − | 0.0355445i | ||||
\(616\) | −0.237188 | + | 0.729990i | −0.00955658 | + | 0.0294121i | ||||
\(617\) | −19.6180 | − | 44.0626i | −0.789789 | − | 1.77390i | −0.613730 | − | 0.789516i | \(-0.710332\pi\) |
−0.176059 | − | 0.984380i | \(-0.556335\pi\) | |||||||
\(618\) | −4.37260 | − | 6.01836i | −0.175892 | − | 0.242094i | ||||
\(619\) | −21.7555 | −0.874426 | −0.437213 | − | 0.899358i | \(-0.644034\pi\) | ||||
−0.437213 | + | 0.899358i | \(0.644034\pi\) | |||||||
\(620\) | −11.6803 | + | 4.30923i | −0.469094 | + | 0.173063i | ||||
\(621\) | −5.19077 | −0.208298 | ||||||||
\(622\) | 18.4700 | + | 25.4218i | 0.740581 | + | 1.01932i | ||||
\(623\) | 0.390503 | + | 0.877085i | 0.0156452 | + | 0.0351396i | ||||
\(624\) | −1.10659 | + | 3.40574i | −0.0442992 | + | 0.136339i | ||||
\(625\) | 15.1459 | − | 19.8898i | 0.605834 | − | 0.795591i | ||||
\(626\) | 14.1316 | − | 24.4767i | 0.564814 | − | 0.978287i | ||||
\(627\) | 21.9002 | − | 19.7190i | 0.874610 | − | 0.787502i | ||||
\(628\) | 14.6698 | − | 4.76652i | 0.585391 | − | 0.190205i | ||||
\(629\) | −1.38358 | + | 1.53662i | −0.0551671 | + | 0.0612692i | ||||
\(630\) | −0.363460 | − | 0.313977i | −0.0144806 | − | 0.0125091i | ||||
\(631\) | 18.6041 | − | 3.95443i | 0.740619 | − | 0.157423i | 0.177873 | − | 0.984053i | \(-0.443078\pi\) |
0.562746 | + | 0.826630i | \(0.309745\pi\) | |||||||
\(632\) | −0.102594 | + | 0.0107831i | −0.00408098 | + | 0.000428928i | ||||
\(633\) | −6.14705 | − | 0.646081i | −0.244323 | − | 0.0256794i | ||||
\(634\) | 21.8701 | + | 4.64862i | 0.868571 | + | 0.184620i | ||||
\(635\) | −15.9176 | + | 12.0724i | −0.631671 | + | 0.479078i | ||||
\(636\) | 5.51435 | + | 4.00641i | 0.218658 | + | 0.158864i | ||||
\(637\) | 5.17739 | − | 24.3577i | 0.205136 | − | 0.965087i | ||||
\(638\) | −15.7157 | − | 1.65178i | −0.622190 | − | 0.0653948i | ||||
\(639\) | −1.18867 | − | 11.3094i | −0.0470230 | − | 0.447394i | ||||
\(640\) | −0.187974 | + | 2.22815i | −0.00743031 | + | 0.0880755i | ||||
\(641\) | 34.0654 | + | 15.1669i | 1.34550 | + | 0.599056i | 0.947919 | − | 0.318510i | \(-0.103182\pi\) |
0.397583 | + | 0.917566i | \(0.369849\pi\) | |||||||
\(642\) | 10.5495 | + | 9.49878i | 0.416354 | + | 0.374887i | ||||
\(643\) | 22.8698 | − | 7.43083i | 0.901895 | − | 0.293044i | 0.178876 | − | 0.983872i | \(-0.442754\pi\) |
0.723019 | + | 0.690828i | \(0.242754\pi\) | |||||||
\(644\) | 0.746048 | + | 0.828570i | 0.0293984 | + | 0.0326502i | ||||
\(645\) | 4.75496 | − | 4.46173i | 0.187226 | − | 0.175681i | ||||
\(646\) | 4.52276 | + | 7.83364i | 0.177945 | + | 0.308211i | ||||
\(647\) | 11.3653 | + | 3.69281i | 0.446816 | + | 0.145179i | 0.523778 | − | 0.851855i | \(-0.324522\pi\) |
−0.0769620 | + | 0.997034i | \(0.524522\pi\) | |||||||
\(648\) | −0.406737 | − | 0.913545i | −0.0159781 | − | 0.0358875i | ||||
\(649\) | −12.4985 | + | 9.08071i | −0.490610 | + | 0.356449i | ||||
\(650\) | −14.9058 | − | 9.92007i | −0.584654 | − | 0.389097i | ||||
\(651\) | −1.19572 | + | 0.0223898i | −0.0468639 | + | 0.000877526i | ||||
\(652\) | 1.77621i | 0.0695616i | ||||||||
\(653\) | −19.4011 | − | 26.7033i | −0.759222 | − | 1.04498i | −0.997278 | − | 0.0737285i | \(-0.976510\pi\) |
0.238056 | − | 0.971251i | \(-0.423490\pi\) | |||||||
\(654\) | −5.52760 | + | 2.46105i | −0.216146 | + | 0.0962346i | ||||
\(655\) | −8.77077 | + | 12.6090i | −0.342702 | + | 0.492676i | ||||
\(656\) | −0.864592 | − | 1.49752i | −0.0337566 | − | 0.0584682i | ||||
\(657\) | −9.55312 | − | 5.51549i | −0.372703 | − | 0.215180i | ||||
\(658\) | −0.00496494 | + | 0.00447045i | −0.000193553 | + | 0.000174276i | ||||
\(659\) | 4.74744 | + | 14.6111i | 0.184934 | + | 0.569168i | 0.999947 | − | 0.0102740i | \(-0.00327036\pi\) |
−0.815013 | + | 0.579442i | \(0.803270\pi\) | |||||||
\(660\) | −4.13662 | − | 6.83635i | −0.161018 | − | 0.266104i | ||||
\(661\) | 0.775686 | + | 0.345358i | 0.0301707 | + | 0.0134329i | 0.421767 | − | 0.906704i | \(-0.361410\pi\) |
−0.391596 | + | 0.920137i | \(0.628077\pi\) | |||||||
\(662\) | −5.03331 | − | 23.6798i | −0.195625 | − | 0.920343i | ||||
\(663\) | 3.90629 | − | 0.410568i | 0.151708 | − | 0.0159451i | ||||
\(664\) | 1.26522 | − | 12.0377i | 0.0490999 | − | 0.467155i | ||||
\(665\) | 1.90954 | − | 3.47026i | 0.0740489 | − | 0.134571i | ||||
\(666\) | 1.52513 | + | 1.10807i | 0.0590977 | + | 0.0429370i | ||||
\(667\) | −13.4922 | + | 18.5704i | −0.522421 | + | 0.719050i | ||||
\(668\) | −2.13615 | + | 10.0498i | −0.0826502 | + | 0.388838i | ||||
\(669\) | −1.53520 | + | 14.6064i | −0.0593542 | + | 0.564718i | ||||
\(670\) | 4.38660 | − | 22.9470i | 0.169469 | − | 0.886519i | ||||
\(671\) | 32.4398 | − | 6.89530i | 1.25233 | − | 0.266190i | ||||
\(672\) | −0.0873650 | + | 0.196225i | −0.00337018 | + | 0.00756955i | ||||
\(673\) | −21.4009 | − | 19.2694i | −0.824943 | − | 0.742782i | 0.144129 | − | 0.989559i | \(-0.453962\pi\) |
−0.969072 | + | 0.246777i | \(0.920629\pi\) | |||||||
\(674\) | 3.06360 | + | 9.42879i | 0.118005 | + | 0.363184i | ||||
\(675\) | 4.94693 | − | 0.726578i | 0.190407 | − | 0.0279660i | ||||
\(676\) | 0.0881830 | − | 0.152737i | 0.00339165 | − | 0.00587451i | ||||
\(677\) | −11.4130 | + | 6.58930i | −0.438638 | + | 0.253247i | −0.703020 | − | 0.711171i | \(-0.748165\pi\) |
0.264382 | + | 0.964418i | \(0.414832\pi\) | |||||||
\(678\) | 14.7170 | + | 4.78184i | 0.565203 | + | 0.183646i | ||||
\(679\) | −0.899060 | + | 0.400287i | −0.0345027 | + | 0.0153616i | ||||
\(680\) | 2.31651 | − | 0.805685i | 0.0888339 | − | 0.0308966i | ||||
\(681\) | 28.8220 | 1.10446 | ||||||||
\(682\) | −19.0341 | − | 5.79288i | −0.728852 | − | 0.221821i | ||||
\(683\) | − | 21.4210i | − | 0.819653i | −0.912163 | − | 0.409827i | \(-0.865589\pi\) | ||
0.912163 | − | 0.409827i | \(-0.134411\pi\) | |||||||
\(684\) | 6.67185 | − | 4.84738i | 0.255105 | − | 0.185344i | ||||
\(685\) | −0.414321 | − | 3.28995i | −0.0158304 | − | 0.125703i | ||||
\(686\) | 0.926192 | − | 2.85053i | 0.0353622 | − | 0.108834i | ||||
\(687\) | 3.80877 | − | 2.19899i | 0.145314 | − | 0.0838969i | ||||
\(688\) | −2.52537 | − | 1.45802i | −0.0962789 | − | 0.0555866i | ||||
\(689\) | 16.3325 | + | 18.1391i | 0.622219 | + | 0.691044i | ||||
\(690\) | −11.6045 | + | 0.238576i | −0.441774 | + | 0.00908243i | ||||
\(691\) | −0.165499 | + | 0.183805i | −0.00629587 | + | 0.00699227i | −0.746285 | − | 0.665627i | \(-0.768164\pi\) |
0.739989 | + | 0.672619i | \(0.234831\pi\) | |||||||
\(692\) | 5.19761 | − | 11.6740i | 0.197583 | − | 0.443779i | ||||
\(693\) | −0.159584 | − | 0.750784i | −0.00606209 | − | 0.0285199i | ||||
\(694\) | 3.24602 | + | 30.8838i | 0.123217 | + | 1.17233i | ||||
\(695\) | 12.5395 | − | 29.7980i | 0.475651 | − | 1.13030i | ||||
\(696\) | −4.32551 | − | 0.919415i | −0.163958 | − | 0.0348504i | ||||
\(697\) | −1.11482 | + | 1.53442i | −0.0422268 | + | 0.0581202i | ||||
\(698\) | 18.0560 | − | 24.8519i | 0.683429 | − | 0.940660i | ||||
\(699\) | 14.8775 | + | 3.16232i | 0.562720 | + | 0.119610i | ||||
\(700\) | −0.826981 | − | 0.685219i | −0.0312569 | − | 0.0258989i | ||||
\(701\) | 1.56637 | + | 14.9030i | 0.0591609 | + | 0.562879i | 0.983449 | + | 0.181184i | \(0.0579929\pi\) |
−0.924288 | + | 0.381695i | \(0.875340\pi\) | |||||||
\(702\) | −0.744534 | − | 3.50276i | −0.0281006 | − | 0.132203i | ||||
\(703\) | −6.32341 | + | 14.2026i | −0.238492 | + | 0.535662i | ||||
\(704\) | −2.39110 | + | 2.65558i | −0.0901178 | + | 0.100086i | ||||
\(705\) | −0.00142959 | − | 0.0695359i | −5.38414e−5 | − | 0.00261887i | ||||
\(706\) | −6.38765 | − | 7.09421i | −0.240402 | − | 0.266994i | ||||
\(707\) | −2.69628 | − | 1.55670i | −0.101404 | − | 0.0585457i | ||||
\(708\) | −3.74408 | + | 2.16165i | −0.140711 | + | 0.0812397i | ||||
\(709\) | −4.44802 | + | 13.6896i | −0.167049 | + | 0.514123i | −0.999181 | − | 0.0404534i | \(-0.987120\pi\) |
0.832133 | + | 0.554577i | \(0.187120\pi\) | |||||||
\(710\) | −3.17718 | − | 25.2287i | −0.119237 | − | 0.946815i | ||||
\(711\) | 0.0834576 | − | 0.0606355i | 0.00312990 | − | 0.00227401i | ||||
\(712\) | 4.46979i | 0.167512i | ||||||||
\(713\) | −21.1118 | + | 19.7372i | −0.790643 | + | 0.739165i | ||||
\(714\) | 0.235597 | 0.00881698 | ||||||||
\(715\) | −9.39967 | − | 27.0259i | −0.351528 | − | 1.01071i | ||||
\(716\) | 11.8129 | − | 5.25943i | 0.441468 | − | 0.196554i | ||||
\(717\) | 6.90599 | + | 2.24389i | 0.257909 | + | 0.0837997i | ||||
\(718\) | 18.0151 | − | 10.4010i | 0.672316 | − | 0.388162i | ||||
\(719\) | 7.63713 | − | 13.2279i | 0.284817 | − | 0.493317i | −0.687748 | − | 0.725950i | \(-0.741401\pi\) |
0.972565 | + | 0.232632i | \(0.0747339\pi\) | |||||||
\(720\) | −0.951287 | − | 2.02362i | −0.0354524 | − | 0.0754160i | ||||
\(721\) | −0.493773 | − | 1.51968i | −0.0183891 | − | 0.0565957i | ||||
\(722\) | 36.4220 | + | 32.7946i | 1.35549 | + | 1.22049i | ||||
\(723\) | 2.93405 | − | 6.58998i | 0.109118 | − | 0.245084i | ||||
\(724\) | −21.3961 | + | 4.54788i | −0.795179 | + | 0.169021i | ||||
\(725\) | 10.2590 | − | 19.5866i | 0.381010 | − | 0.727430i | ||||
\(726\) | 0.184958 | − | 1.75975i | 0.00686442 | − | 0.0653106i | ||||
\(727\) | −0.317720 | + | 1.49475i | −0.0117836 | + | 0.0554374i | −0.983647 | − | 0.180110i | \(-0.942355\pi\) |
0.971863 | + | 0.235547i | \(0.0756881\pi\) | |||||||
\(728\) | −0.452115 | + | 0.622282i | −0.0167565 | + | 0.0230633i | ||||
\(729\) | 0.809017 | + | 0.587785i | 0.0299636 | + | 0.0217698i | ||||
\(730\) | −21.6104 | − | 11.8913i | −0.799837 | − | 0.440118i | ||||
\(731\) | −0.334329 | + | 3.18093i | −0.0123656 | + | 0.117651i | ||||
\(732\) | 9.23001 | − | 0.970113i | 0.341151 | − | 0.0358564i | ||||
\(733\) | 3.63091 | + | 17.0821i | 0.134111 | + | 0.630942i | 0.992934 | + | 0.118669i | \(0.0378629\pi\) |
−0.858823 | + | 0.512272i | \(0.828804\pi\) | |||||||
\(734\) | −28.3314 | − | 12.6139i | −1.04573 | − | 0.465589i | ||||
\(735\) | 8.04980 | + | 13.3034i | 0.296921 | + | 0.490705i | ||||
\(736\) | 1.60404 | + | 4.93671i | 0.0591255 | + | 0.181970i | ||||
\(737\) | 27.7456 | − | 24.9822i | 1.02202 | − | 0.920232i | ||||
\(738\) | 1.49752 | + | 0.864592i | 0.0551244 | + | 0.0318261i | ||||
\(739\) | 14.9501 | + | 25.8943i | 0.549948 | + | 0.952537i | 0.998277 | + | 0.0586689i | \(0.0186856\pi\) |
−0.448330 | + | 0.893868i | \(0.647981\pi\) | |||||||
\(740\) | 3.46051 | + | 2.40711i | 0.127211 | + | 0.0884870i | ||||
\(741\) | 26.9789 | − | 12.0118i | 0.991095 | − | 0.441264i | ||||
\(742\) | 0.860557 | + | 1.18446i | 0.0315920 | + | 0.0434827i | ||||
\(743\) | − | 3.75498i | − | 0.137757i | −0.997625 | − | 0.0688785i | \(-0.978058\pi\) | ||
0.997625 | − | 0.0688785i | \(-0.0219421\pi\) | |||||||
\(744\) | −5.12791 | − | 2.16899i | −0.187998 | − | 0.0795191i | ||||
\(745\) | −26.3949 | − | 7.98026i | −0.967035 | − | 0.292374i | ||||
\(746\) | 12.7201 | − | 9.24173i | 0.465718 | − | 0.338364i | ||||
\(747\) | 4.92316 | + | 11.0576i | 0.180129 | + | 0.404576i | ||||
\(748\) | 3.72767 | + | 1.21119i | 0.136297 | + | 0.0442856i | ||||
\(749\) | 1.52458 | + | 2.64066i | 0.0557071 | + | 0.0964875i | ||||
\(750\) | 11.0259 | − | 1.85170i | 0.402610 | − | 0.0676146i | ||||
\(751\) | 25.8024 | + | 28.6565i | 0.941544 | + | 1.04569i | 0.998879 | + | 0.0473357i | \(0.0150731\pi\) |
−0.0573349 | + | 0.998355i | \(0.518260\pi\) | |||||||
\(752\) | −0.0295816 | + | 0.00961166i | −0.00107873 | + | 0.000350501i | ||||
\(753\) | −12.8730 | − | 11.5909i | −0.469118 | − | 0.422395i | ||||
\(754\) | −14.4667 | − | 6.44098i | −0.526845 | − | 0.234567i | ||||
\(755\) | −29.6221 | − | 2.49901i | −1.07806 | − | 0.0909482i | ||||
\(756\) | −0.0224522 | − | 0.213618i | −0.000816579 | − | 0.00776923i | ||||
\(757\) | −40.3686 | − | 4.24291i | −1.46722 | − | 0.154211i | −0.663035 | − | 0.748588i | \(-0.730732\pi\) |
−0.804187 | + | 0.594377i | \(0.797399\pi\) | |||||||
\(758\) | 6.16529 | − | 29.0054i | 0.223933 | − | 1.05352i | ||||
\(759\) | −15.0064 | − | 10.9028i | −0.544696 | − | 0.395745i | ||||
\(760\) | 14.6928 | − | 11.1434i | 0.532963 | − | 0.404215i | ||||
\(761\) | −7.34708 | − | 1.56167i | −0.266331 | − | 0.0566105i | 0.0728103 | − | 0.997346i | \(-0.476803\pi\) |
−0.339142 | + | 0.940735i | \(0.610137\pi\) | |||||||
\(762\) | −8.88540 | − | 0.933893i | −0.321884 | − | 0.0338314i | ||||
\(763\) | −1.29254 | + | 0.135852i | −0.0467933 | + | 0.00491817i | ||||
\(764\) | −12.7618 | + | 2.71261i | −0.461706 | + | 0.0981387i | ||||
\(765\) | −1.60331 | + | 1.85600i | −0.0579678 | + | 0.0671037i | ||||
\(766\) | 3.94283 | − | 4.37896i | 0.142460 | − | 0.158218i | ||||
\(767\) | −14.7240 | + | 4.78413i | −0.531654 | + | 0.172745i | ||||
\(768\) | −0.743145 | + | 0.669131i | −0.0268159 | + | 0.0241452i | ||||
\(769\) | −8.27437 | + | 14.3316i | −0.298381 | + | 0.516812i | −0.975766 | − | 0.218818i | \(-0.929780\pi\) |
0.677384 | + | 0.735629i | \(0.263113\pi\) | |||||||
\(770\) | −0.391272 | − | 1.67111i | −0.0141005 | − | 0.0602228i | ||||
\(771\) | 2.81322 | − | 8.65820i | 0.101316 | − | 0.311817i | ||||
\(772\) | 0.680089 | + | 1.52750i | 0.0244769 | + | 0.0549761i | ||||
\(773\) | 7.05747 | + | 9.71378i | 0.253840 | + | 0.349380i | 0.916851 | − | 0.399229i | \(-0.130722\pi\) |
−0.663012 | + | 0.748609i | \(0.730722\pi\) | |||||||
\(774\) | 2.91605 | 0.104815 | ||||||||
\(775\) | 17.3573 | − | 21.7652i | 0.623494 | − | 0.781828i | ||||
\(776\) | −4.58178 | −0.164476 | ||||||||
\(777\) | 0.238009 | + | 0.327591i | 0.00853851 | + | 0.0117523i | ||||
\(778\) | 5.72444 | + | 12.8573i | 0.205231 | + | 0.460957i | ||||
\(779\) | −4.40669 | + | 13.5624i | −0.157886 | + | 0.485923i | ||||
\(780\) | −1.82547 | − | 7.79653i | −0.0653623 | − | 0.279160i | ||||
\(781\) | 20.3181 | − | 35.1919i | 0.727037 | − | 1.25927i | ||||
\(782\) | 4.23106 | − | 3.80967i | 0.151303 | − | 0.136233i | ||||
\(783\) | 4.20571 | − | 1.36652i | 0.150300 | − | 0.0488354i | ||||
\(784\) | 4.65304 | − | 5.16773i | 0.166180 | − | 0.184562i | ||||
\(785\) | −22.5472 | + | 26.1007i | −0.804743 | + | 0.931573i | ||||
\(786\) | −6.71888 | + | 1.42814i | −0.239654 | + | 0.0509401i | ||||
\(787\) | −17.2030 | + | 1.80811i | −0.613222 | + | 0.0644523i | −0.406048 | − | 0.913852i | \(-0.633093\pi\) |
−0.207174 | + | 0.978304i | \(0.566427\pi\) | |||||||
\(788\) | 9.40708 | + | 0.988724i | 0.335113 | + | 0.0352218i | ||||
\(789\) | 8.07621 | + | 1.71665i | 0.287521 | + | 0.0611144i | ||||
\(790\) | 0.183790 | − | 0.139392i | 0.00653897 | − | 0.00495935i | ||||
\(791\) | 2.68903 | + | 1.95369i | 0.0956107 | + | 0.0694653i | ||||
\(792\) | 0.742959 | − | 3.49535i | 0.0263999 | − | 0.124202i | ||||
\(793\) | 33.0528 | + | 3.47399i | 1.17374 | + | 0.123365i | ||||
\(794\) | −1.52727 | − | 14.5310i | −0.0542007 | − | 0.515685i | ||||
\(795\) | −15.1873 | − | 1.28125i | −0.538639 | − | 0.0454412i | ||||
\(796\) | 11.4093 | + | 5.07975i | 0.404392 | + | 0.180047i | ||||
\(797\) | −34.1227 | − | 30.7242i | −1.20869 | − | 1.08831i | −0.993744 | − | 0.111679i | \(-0.964377\pi\) |
−0.214942 | − | 0.976627i | \(-0.568956\pi\) | |||||||
\(798\) | 1.68469 | − | 0.547388i | 0.0596373 | − | 0.0193773i | ||||
\(799\) | 0.0228282 | + | 0.0253533i | 0.000807603 | + | 0.000896934i | ||||
\(800\) | −2.21970 | − | 4.48028i | −0.0784783 | − | 0.158402i | ||||
\(801\) | −2.23489 | − | 3.87095i | −0.0789661 | − | 0.136773i | ||||
\(802\) | −21.5422 | − | 6.99950i | −0.760683 | − | 0.247161i | ||||
\(803\) | −16.0330 | − | 36.0106i | −0.565791 | − | 1.27079i | ||||
\(804\) | 8.45263 | − | 6.14119i | 0.298101 | − | 0.216583i | ||||
\(805\) | −2.38642 | − | 0.721513i | −0.0841103 | − | 0.0254300i | ||||
\(806\) | −16.3469 | − | 11.4154i | −0.575796 | − | 0.402089i | ||||
\(807\) | 7.38220i | 0.259866i | ||||||||
\(808\) | −8.51979 | − | 11.7265i | −0.299725 | − | 0.412536i | ||||
\(809\) | 23.6509 | − | 10.5300i | 0.831520 | − | 0.370217i | 0.0535868 | − | 0.998563i | \(-0.482935\pi\) |
0.777934 | + | 0.628346i | \(0.216268\pi\) | |||||||
\(810\) | 1.83565 | + | 1.27687i | 0.0644982 | + | 0.0448645i | ||||
\(811\) | −7.62357 | − | 13.2044i | −0.267700 | − | 0.463670i | 0.700568 | − | 0.713586i | \(-0.252930\pi\) |
−0.968267 | + | 0.249916i | \(0.919597\pi\) | |||||||
\(812\) | −0.822598 | − | 0.474927i | −0.0288675 | − | 0.0166667i | ||||
\(813\) | 8.21176 | − | 7.39391i | 0.287999 | − | 0.259316i | ||||
\(814\) | 2.08170 | + | 6.40681i | 0.0729635 | + | 0.224559i | ||||
\(815\) | −2.05614 | − | 3.39806i | −0.0720234 | − | 0.119029i | ||||
\(816\) | 1.00202 | + | 0.446126i | 0.0350776 | + | 0.0156175i | ||||
\(817\) | 4.99991 | + | 23.5227i | 0.174925 | + | 0.822956i | ||||
\(818\) | −4.98884 | + | 0.524348i | −0.174431 | + | 0.0183334i | ||||
\(819\) | 0.0804016 | − | 0.764970i | 0.00280946 | − | 0.0267302i | ||||
\(820\) | 3.38758 | + | 1.86405i | 0.118299 | + | 0.0650954i | ||||
\(821\) | −13.1972 | − | 9.58834i | −0.460586 | − | 0.334635i | 0.333175 | − | 0.942865i | \(-0.391880\pi\) |
−0.793761 | + | 0.608230i | \(0.791880\pi\) | |||||||
\(822\) | 0.871645 | − | 1.19972i | 0.0304021 | − | 0.0418449i | ||||
\(823\) | −1.20494 | + | 5.66878i | −0.0420015 | + | 0.197601i | −0.994146 | − | 0.108048i | \(-0.965540\pi\) |
0.952144 | + | 0.305649i | \(0.0988734\pi\) | |||||||
\(824\) | 0.777598 | − | 7.39835i | 0.0270889 | − | 0.257734i | ||||
\(825\) | 15.8275 | + | 8.29007i | 0.551044 | + | 0.288623i | ||||
\(826\) | −0.908330 | + | 0.193072i | −0.0316048 | + | 0.00671782i | ||||
\(827\) | −15.6033 | + | 35.0456i | −0.542580 | + | 1.21865i | 0.409361 | + | 0.912372i | \(0.365751\pi\) |
−0.951941 | + | 0.306281i | \(0.900915\pi\) | |||||||
\(828\) | −3.85749 | − | 3.47330i | −0.134057 | − | 0.120706i | ||||
\(829\) | −7.25415 | − | 22.3260i | −0.251947 | − | 0.775414i | −0.994416 | − | 0.105533i | \(-0.966345\pi\) |
0.742469 | − | 0.669881i | \(-0.233655\pi\) | |||||||
\(830\) | 11.5144 | + | 24.4940i | 0.399671 | + | 0.850200i | ||||
\(831\) | −10.1983 | + | 17.6639i | −0.353774 | + | 0.612754i | ||||
\(832\) | −3.10125 | + | 1.79051i | −0.107516 | + | 0.0620746i | ||||
\(833\) | −7.25399 | − | 2.35697i | −0.251336 | − | 0.0816640i | ||||
\(834\) | 13.2080 | − | 5.88057i | 0.457355 | − | 0.203627i | ||||
\(835\) | −7.54699 | − | 21.6991i | −0.261174 | − | 0.750928i | ||||
\(836\) | 29.4696 | 1.01923 | ||||||||
\(837\) | 5.52540 | − | 0.685555i | 0.190986 | − | 0.0236962i | ||||
\(838\) | 11.5076i | 0.397523i | ||||||||
\(839\) | 36.5648 | − | 26.5659i | 1.26236 | − | 0.917156i | 0.263486 | − | 0.964663i | \(-0.415128\pi\) |
0.998871 | + | 0.0475077i | \(0.0151279\pi\) | |||||||
\(840\) | −0.0600123 | − | 0.476532i | −0.00207062 | − | 0.0164419i | ||||
\(841\) | −2.91855 | + | 8.98239i | −0.100640 | + | 0.309738i | ||||
\(842\) | −23.4510 | + | 13.5394i | −0.808173 | + | 0.466599i | ||||
\(843\) | −0.237041 | − | 0.136855i | −0.00816411 | − | 0.00471355i | ||||
\(844\) | −4.13583 | − | 4.59331i | −0.142361 | − | 0.158108i | ||||
\(845\) | 0.00810606 | + | 0.394283i | 0.000278857 | + | 0.0135637i | ||||
\(846\) | 0.0208126 | − | 0.0231148i | 0.000715553 | − | 0.000794702i | ||||
\(847\) | 0.154588 | − | 0.347210i | 0.00531170 | − | 0.0119303i | ||||
\(848\) | 1.41715 | + | 6.66716i | 0.0486651 | + | 0.228951i | ||||
\(849\) | −1.80895 | − | 17.2110i | −0.0620829 | − | 0.590680i | ||||
\(850\) | −3.49905 | + | 4.22295i | −0.120016 | + | 0.144846i | ||||
\(851\) | 9.57162 | + | 2.03451i | 0.328111 | + | 0.0697422i | ||||
\(852\) | 6.68413 | − | 9.19992i | 0.228995 | − | 0.315184i | ||||
\(853\) | 2.93135 | − | 4.03466i | 0.100368 | − | 0.138144i | −0.755879 | − | 0.654711i | \(-0.772790\pi\) |
0.856247 | + | 0.516567i | \(0.172790\pi\) | |||||||
\(854\) | 1.94992 | + | 0.414468i | 0.0667249 | + | 0.0141828i | ||||
\(855\) | −7.15259 | + | 16.9969i | −0.244613 | + | 0.581281i | ||||
\(856\) | 1.48386 | + | 14.1179i | 0.0507171 | + | 0.482541i | ||||
\(857\) | 1.83047 | + | 8.61167i | 0.0625275 | + | 0.294169i | 0.998290 | − | 0.0584632i | \(-0.0186200\pi\) |
−0.935762 | + | 0.352632i | \(0.885287\pi\) | |||||||
\(858\) | 5.20481 | − | 11.6902i | 0.177689 | − | 0.399097i | ||||
\(859\) | 2.94448 | − | 3.27017i | 0.100464 | − | 0.111577i | −0.690816 | − | 0.723031i | \(-0.742748\pi\) |
0.791280 | + | 0.611454i | \(0.209415\pi\) | |||||||
\(860\) | 6.51910 | − | 0.134026i | 0.222300 | − | 0.00457025i | ||||
\(861\) | 0.248529 | + | 0.276019i | 0.00846983 | + | 0.00940670i | ||||
\(862\) | 29.5514 | + | 17.0615i | 1.00653 | + | 0.581118i | ||||
\(863\) | −1.24160 | + | 0.716839i | −0.0422646 | + | 0.0244015i | −0.520983 | − | 0.853567i | \(-0.674435\pi\) |
0.478719 | + | 0.877968i | \(0.341101\pi\) | |||||||
\(864\) | 0.309017 | − | 0.951057i | 0.0105130 | − | 0.0323556i | ||||
\(865\) | 3.57031 | + | 28.3503i | 0.121394 | + | 0.963940i | ||||
\(866\) | 30.9110 | − | 22.4582i | 1.05040 | − | 0.763159i | ||||
\(867\) | 15.7969i | 0.536492i | ||||||||
\(868\) | −0.903574 | − | 0.783453i | −0.0306693 | − | 0.0265921i | ||||
\(869\) | 0.368633 | 0.0125050 | ||||||||
\(870\) | 9.33946 | − | 3.24828i | 0.316637 | − | 0.110127i | ||||
\(871\) | 34.1798 | − | 15.2178i | 1.15814 | − | 0.515637i | ||||
\(872\) | −5.75457 | − | 1.86977i | −0.194874 | − | 0.0633185i | ||||
\(873\) | 3.96794 | − | 2.29089i | 0.134294 | − | 0.0775348i | ||||
\(874\) | 21.4038 | − | 37.0724i | 0.723993 | − | 1.25399i | ||||
\(875\) | 2.37531 | + | 0.353580i | 0.0803001 | + | 0.0119532i | ||||
\(876\) | −3.40876 | − | 10.4911i | −0.115171 | − | 0.354461i | ||||
\(877\) | −15.3108 | − | 13.7859i | −0.517009 | − | 0.465517i | 0.368839 | − | 0.929493i | \(-0.379755\pi\) |
−0.885847 | + | 0.463977i | \(0.846422\pi\) | |||||||
\(878\) | 0.237842 | − | 0.534202i | 0.00802678 | − | 0.0180284i | ||||
\(879\) | −20.7648 | + | 4.41369i | −0.700378 | + | 0.148870i | ||||
\(880\) | 1.50030 | − | 7.84833i | 0.0505753 | − | 0.264567i | ||||
\(881\) | −1.90580 | + | 18.1325i | −0.0642081 | + | 0.610899i | 0.914349 | + | 0.404926i | \(0.132703\pi\) |
−0.978558 | + | 0.205973i | \(0.933964\pi\) | |||||||
\(882\) | −1.44579 | + | 6.80190i | −0.0486823 | + | 0.229032i | ||||
\(883\) | −31.6323 | + | 43.5382i | −1.06451 | + | 1.46518i | −0.189004 | + | 0.981976i | \(0.560526\pi\) |
−0.875510 | + | 0.483200i | \(0.839474\pi\) | |||||||
\(884\) | 3.17766 | + | 2.30871i | 0.106876 | + | 0.0776502i | ||||
\(885\) | 4.66049 | − | 8.46961i | 0.156661 | − | 0.284703i | ||||
\(886\) | −1.49383 | + | 14.2128i | −0.0501861 | + | 0.477489i | ||||
\(887\) | −35.2118 | + | 3.70090i | −1.18229 | + | 0.124264i | −0.675206 | − | 0.737629i | \(-0.735945\pi\) |
−0.507089 | + | 0.861894i | \(0.669279\pi\) | |||||||
\(888\) | 0.391948 | + | 1.84397i | 0.0131529 | + | 0.0618796i | ||||
\(889\) | −1.75314 | − | 0.780549i | −0.0587985 | − | 0.0261788i | ||||
\(890\) | −5.17423 | − | 8.55116i | −0.173441 | − | 0.286636i | ||||
\(891\) | 1.10425 | + | 3.39854i | 0.0369939 | + | 0.113855i | ||||
\(892\) | −10.9145 | + | 9.82745i | −0.365444 | + | 0.329047i | ||||
\(893\) | 0.222144 | + | 0.128255i | 0.00743377 | + | 0.00429189i | ||||
\(894\) | −6.16594 | − | 10.6797i | −0.206220 | − | 0.357183i | ||||
\(895\) | −16.5109 | + | 23.7364i | −0.551898 | + | 0.793421i | ||||
\(896\) | −0.196225 | + | 0.0873650i | −0.00655542 | + | 0.00291866i | ||||
\(897\) | −10.9259 | − | 15.0382i | −0.364804 | − | 0.502110i | ||||
\(898\) | − | 24.2731i | − | 0.810003i | ||||||
\(899\) | 11.9094 | − | 21.5495i | 0.397200 | − | 0.718718i | ||||
\(900\) | 4.16246 | + | 2.77019i | 0.138749 | + | 0.0923396i | ||||
\(901\) | 6.04838 | − | 4.39440i | 0.201501 | − | 0.146399i | ||||
\(902\) | 2.51328 | + | 5.64492i | 0.0836830 | + | 0.187955i | ||||
\(903\) | 0.595697 | + | 0.193554i | 0.0198235 | + | 0.00644106i | ||||
\(904\) | 7.73718 | + | 13.4012i | 0.257335 | + | 0.445717i | ||||
\(905\) | 35.6683 | − | 33.4687i | 1.18565 | − | 1.11254i | ||||
\(906\) | −8.89573 | − | 9.87971i | −0.295541 | − | 0.328231i | ||||
\(907\) | −27.8237 | + | 9.04047i | −0.923871 | + | 0.300184i | −0.732054 | − | 0.681247i | \(-0.761438\pi\) |
−0.191817 | + | 0.981431i | \(0.561438\pi\) | |||||||
\(908\) | 21.4189 | + | 19.2857i | 0.710812 | + | 0.640018i | ||||
\(909\) | 13.2416 | + | 5.89554i | 0.439196 | + | 0.195543i | ||||
\(910\) | 0.144586 | − | 1.71386i | 0.00479298 | − | 0.0568139i | ||||
\(911\) | −0.612715 | − | 5.82960i | −0.0203002 | − | 0.193143i | 0.979672 | − | 0.200606i | \(-0.0642911\pi\) |
−0.999972 | + | 0.00746292i | \(0.997624\pi\) | |||||||
\(912\) | 8.20168 | + | 0.862032i | 0.271585 | + | 0.0285447i | ||||
\(913\) | −8.99281 | + | 42.3078i | −0.297619 | + | 1.40018i | ||||
\(914\) | −33.0000 | − | 23.9759i | −1.09154 | − | 0.793053i | ||||
\(915\) | −16.5349 | + | 12.5406i | −0.546629 | + | 0.414580i | ||||
\(916\) | 4.30188 | + | 0.914393i | 0.142138 | + | 0.0302124i | ||||
\(917\) | −1.46734 | − | 0.154224i | −0.0484559 | − | 0.00509292i | ||||
\(918\) | −1.09083 | + | 0.114651i | −0.0360029 | + | 0.00378406i | ||||
\(919\) | 13.8025 | − | 2.93380i | 0.455301 | − | 0.0967772i | 0.0254481 | − | 0.999676i | \(-0.491899\pi\) |
0.429853 | + | 0.902899i | \(0.358565\pi\) | |||||||
\(920\) | −8.78343 | − | 7.58760i | −0.289581 | − | 0.250156i | ||||
\(921\) | 17.2876 | − | 19.1999i | 0.569647 | − | 0.632657i | ||||
\(922\) | 25.8810 | − | 8.40924i | 0.852345 | − | 0.276944i | ||||
\(923\) | 30.2625 | − | 27.2485i | 0.996103 | − | 0.896895i | ||||
\(924\) | 0.383778 | − | 0.664724i | 0.0126254 | − | 0.0218678i | ||||
\(925\) | −9.40677 | − | 0.599150i | −0.309293 | − | 0.0196999i | ||||
\(926\) | 9.55921 | − | 29.4202i | 0.314135 | − | 0.966808i | ||||
\(927\) | 3.02576 | + | 6.79596i | 0.0993789 | + | 0.223209i | ||||
\(928\) | −2.59927 | − | 3.57759i | −0.0853253 | − | 0.117440i | ||||
\(929\) | −5.78053 | −0.189653 | −0.0948266 | − | 0.995494i | \(-0.530230\pi\) | ||||
−0.0948266 | + | 0.995494i | \(0.530230\pi\) | |||||||
\(930\) | 12.3210 | − | 1.78658i | 0.404023 | − | 0.0585842i | ||||
\(931\) | −57.3475 | −1.87949 | ||||||||
\(932\) | 8.94016 | + | 12.3051i | 0.292845 | + | 0.403066i | ||||
\(933\) | −12.7809 | − | 28.7064i | −0.418429 | − | 0.939807i | ||||
\(934\) | −1.55556 | + | 4.78751i | −0.0508994 | + | 0.156652i | ||||
\(935\) | −8.53348 | + | 1.99802i | −0.279075 | + | 0.0653422i | ||||
\(936\) | 1.79051 | − | 3.10125i | 0.0585245 | − | 0.101367i | ||||
\(937\) | −9.92033 | + | 8.93231i | −0.324083 | + | 0.291806i | −0.815072 | − | 0.579360i | \(-0.803302\pi\) |
0.490988 | + | 0.871166i | \(0.336636\pi\) | |||||||
\(938\) | 2.13435 | − | 0.693491i | 0.0696889 | − | 0.0226433i | ||||
\(939\) | −18.9118 | + | 21.0037i | −0.617165 | + | 0.685431i | ||||
\(940\) | 0.0454662 | − | 0.0526318i | 0.00148294 | − | 0.00171666i | ||||
\(941\) | −41.1050 | + | 8.73714i | −1.33998 | + | 0.284823i | −0.821473 | − | 0.570248i | \(-0.806847\pi\) |
−0.518512 | + | 0.855070i | \(0.673514\pi\) | |||||||
\(942\) | −15.3403 | + | 1.61233i | −0.499814 | + | 0.0525325i | ||||
\(943\) | 8.92662 | + | 0.938226i | 0.290691 | + | 0.0305528i | ||||
\(944\) | −4.22882 | − | 0.898864i | −0.137636 | − | 0.0292555i | ||||
\(945\) | 0.290238 | + | 0.382683i | 0.00944146 | + | 0.0124487i | ||||
\(946\) | 8.43021 | + | 6.12490i | 0.274090 | + | 0.199138i | ||||
\(947\) | −6.41485 | + | 30.1795i | −0.208455 | + | 0.980701i | 0.742135 | + | 0.670251i | \(0.233813\pi\) |
−0.950589 | + | 0.310451i | \(0.899520\pi\) | |||||||
\(948\) | 0.102594 | + | 0.0107831i | 0.00333210 | + | 0.000350218i | ||||
\(949\) | −4.12909 | − | 39.2857i | −0.134036 | − | 1.27527i | ||||
\(950\) | −15.2091 | + | 38.3269i | −0.493448 | + | 1.24349i | ||||
\(951\) | −20.4256 | − | 9.09408i | −0.662347 | − | 0.294896i | ||||
\(952\) | 0.175082 | + | 0.157645i | 0.00567445 | + | 0.00510930i | ||||
\(953\) | −32.9053 | + | 10.6916i | −1.06591 | + | 0.346335i | −0.788893 | − | 0.614531i | \(-0.789345\pi\) |
−0.277015 | + | 0.960865i | \(0.589345\pi\) | |||||||
\(954\) | −4.56087 | − | 5.06536i | −0.147664 | − | 0.163997i | ||||
\(955\) | 21.2745 | − | 19.9626i | 0.688427 | − | 0.645974i | ||||
\(956\) | 3.63069 | + | 6.28855i | 0.117425 | + | 0.203386i | ||||
\(957\) | 15.0288 | + | 4.88316i | 0.485813 | + | 0.157850i | ||||
\(958\) | 7.49262 | + | 16.8287i | 0.242076 | + | 0.543711i | ||||
\(959\) | 0.257693 | − | 0.187225i | 0.00832135 | − | 0.00604582i | ||||
\(960\) | 0.647125 | − | 2.14038i | 0.0208859 | − | 0.0690805i | ||||
\(961\) | 19.8661 | − | 23.7979i | 0.640841 | − | 0.767674i | ||||
\(962\) | 6.75080i | 0.217655i | ||||||||
\(963\) | −8.34403 | − | 11.4846i | −0.268883 | − | 0.370085i | ||||
\(964\) | 6.58998 | − | 2.93405i | 0.212249 | − | 0.0944994i | ||||
\(965\) | −3.06932 | − | 2.13500i | −0.0988050 | − | 0.0687281i | ||||
\(966\) | −0.557476 | − | 0.965576i | −0.0179365 | − | 0.0310669i | ||||
\(967\) | 43.0732 | + | 24.8683i | 1.38514 | + | 0.799711i | 0.992763 | − | 0.120093i | \(-0.0383191\pi\) |
0.392378 | + | 0.919804i | \(0.371652\pi\) | |||||||
\(968\) | 1.31496 | − | 1.18399i | 0.0422643 | − | 0.0380549i | ||||
\(969\) | −2.79522 | − | 8.60279i | −0.0897953 | − | 0.276362i | ||||
\(970\) | 8.76541 | − | 5.30387i | 0.281440 | − | 0.170297i | ||||
\(971\) | 38.9499 | + | 17.3416i | 1.24996 | + | 0.556519i | 0.921640 | − | 0.388047i | \(-0.126850\pi\) |
0.328322 | + | 0.944566i | \(0.393517\pi\) | |||||||
\(972\) | 0.207912 | + | 0.978148i | 0.00666877 | + | 0.0313741i | ||||
\(973\) | 3.08848 | − | 0.324612i | 0.0990121 | − | 0.0104066i | ||||
\(974\) | 3.67920 | − | 35.0053i | 0.117889 | − | 1.12164i | ||||
\(975\) | 12.5176 | + | 12.8024i | 0.400883 | + | 0.410004i | ||||
\(976\) | 7.50837 | + | 5.45515i | 0.240337 | + | 0.174615i | ||||
\(977\) | −6.47947 | + | 8.91823i | −0.207297 | + | 0.285319i | −0.899988 | − | 0.435915i | \(-0.856425\pi\) |
0.692691 | + | 0.721234i | \(0.256425\pi\) | |||||||
\(978\) | 0.369294 | − | 1.73739i | 0.0118087 | − | 0.0555556i | ||||
\(979\) | 1.66958 | − | 15.8850i | 0.0533600 | − | 0.507687i | ||||
\(980\) | −2.91957 | + | 15.2728i | −0.0932624 | + | 0.487870i | ||||
\(981\) | 5.91849 | − | 1.25801i | 0.188963 | − | 0.0401653i | ||||
\(982\) | 16.3628 | − | 36.7514i | 0.522157 | − | 1.17278i | ||||
\(983\) | 20.8110 | + | 18.7383i | 0.663769 | + | 0.597660i | 0.930580 | − | 0.366089i | \(-0.119303\pi\) |
−0.266811 | + | 0.963749i | \(0.585970\pi\) | |||||||
\(984\) | 0.534347 | + | 1.64455i | 0.0170344 | + | 0.0524264i | ||||
\(985\) | −19.1412 | + | 8.99812i | −0.609891 | + | 0.286704i | ||||
\(986\) | −2.42520 | + | 4.20057i | −0.0772341 | + | 0.133773i | ||||
\(987\) | 0.00578590 | − | 0.00334049i | 0.000184167 | − | 0.000106329i | ||||
\(988\) | 28.0867 | + | 9.12592i | 0.893556 | + | 0.290334i | ||||
\(989\) | 13.8279 | − | 6.15658i | 0.439702 | − | 0.195768i | ||||
\(990\) | 2.62486 | + | 7.54701i | 0.0834237 | + | 0.239860i | ||||
\(991\) | 52.5885 | 1.67053 | 0.835265 | − | 0.549848i | \(-0.185314\pi\) | ||||
0.835265 | + | 0.549848i | \(0.185314\pi\) | |||||||
\(992\) | −2.35944 | − | 5.04312i | −0.0749124 | − | 0.160119i | ||||
\(993\) | 24.2089i | 0.768245i | ||||||||
\(994\) | 1.97610 | − | 1.43572i | 0.0626780 | − | 0.0455382i | ||||
\(995\) | −27.7075 | + | 3.48935i | −0.878386 | + | 0.110620i | ||||
\(996\) | −3.74035 | + | 11.5116i | −0.118518 | + | 0.364760i | ||||
\(997\) | 20.9983 | − | 12.1234i | 0.665022 | − | 0.383950i | −0.129166 | − | 0.991623i | \(-0.541230\pi\) |
0.794188 | + | 0.607673i | \(0.207897\pi\) | |||||||
\(998\) | −11.2418 | − | 6.49043i | −0.355851 | − | 0.205451i | ||||
\(999\) | −1.26142 | − | 1.40095i | −0.0399096 | − | 0.0443242i |
(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 | 930.2.bn.a.49.3 | yes | 112 | |
5.4 | even | 2 | inner | 930.2.bn.a.49.10 | yes | 112 | |
31.19 | even | 15 | inner | 930.2.bn.a.19.10 | yes | 112 | |
155.19 | even | 30 | inner | 930.2.bn.a.19.3 | ✓ | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bn.a.19.3 | ✓ | 112 | 155.19 | even | 30 | inner | |
930.2.bn.a.19.10 | yes | 112 | 31.19 | even | 15 | inner | |
930.2.bn.a.49.3 | yes | 112 | 1.1 | even | 1 | trivial | |
930.2.bn.a.49.10 | yes | 112 | 5.4 | even | 2 | inner |