Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [666,2,Mod(17,666)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(666, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("666.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 666 = 2 \cdot 3^{2} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 666.bs (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.31803677462\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 611.3 | ||
Character | \(\chi\) | \(=\) | 666.611 |
Dual form | 666.2.bs.b.557.3 |
$q$-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 \(\left(\mathbb{Z}/666\mathbb{Z}\right)^\times\).
\(n\) | \(371\) | \(631\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{35}{36}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0871557 | − | 0.996195i | −0.0616284 | − | 0.704416i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.984808 | + | 0.173648i | −0.492404 | + | 0.0868241i | ||||
\(5\) | 0.700099 | − | 0.326462i | 0.313094 | − | 0.145998i | −0.259719 | − | 0.965684i | \(-0.583630\pi\) |
0.572813 | + | 0.819686i | \(0.305852\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.53856 | + | 1.65190i | 1.71541 | + | 0.624360i | 0.997427 | − | 0.0716957i | \(-0.0228410\pi\) |
0.717988 | + | 0.696055i | \(0.245063\pi\) | |||||||
\(8\) | 0.258819 | + | 0.965926i | 0.0915064 | + | 0.341506i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.386237 | − | 0.668982i | −0.122139 | − | 0.211551i | ||||
\(11\) | −2.42393 | + | 4.19837i | −0.730842 | + | 1.26586i | 0.225682 | + | 0.974201i | \(0.427539\pi\) |
−0.956524 | + | 0.291654i | \(0.905794\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.50551 | + | 3.57824i | −0.694904 | + | 0.992425i | 0.304302 | + | 0.952576i | \(0.401577\pi\) |
−0.999206 | + | 0.0398497i | \(0.987312\pi\) | |||||||
\(14\) | 1.25005 | − | 4.66526i | 0.334091 | − | 1.24684i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.939693 | − | 0.342020i | 0.234923 | − | 0.0855050i | ||||
\(17\) | 1.37892 | + | 1.96930i | 0.334436 | + | 0.477624i | 0.950786 | − | 0.309848i | \(-0.100278\pi\) |
−0.616350 | + | 0.787472i | \(0.711389\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.73695 | + | 0.501918i | 1.31615 | + | 0.115148i | 0.723505 | − | 0.690319i | \(-0.242530\pi\) |
0.592641 | + | 0.805467i | \(0.298085\pi\) | |||||||
\(20\) | −0.632774 | + | 0.443073i | −0.141493 | + | 0.0990741i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.39365 | + | 2.04879i | 0.936729 | + | 0.436804i | ||||
\(23\) | −5.80632 | − | 1.55580i | −1.21070 | − | 0.324407i | −0.403665 | − | 0.914907i | \(-0.632264\pi\) |
−0.807037 | + | 0.590500i | \(0.798930\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.83038 | + | 3.37311i | −0.566075 | + | 0.674622i | ||||
\(26\) | 3.78299 | + | 2.18411i | 0.741906 | + | 0.428340i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.75646 | − | 0.838692i | −0.898886 | − | 0.158498i | ||||
\(29\) | 1.94369 | − | 0.520811i | 0.360934 | − | 0.0967121i | −0.0737944 | − | 0.997273i | \(-0.523511\pi\) |
0.434729 | + | 0.900561i | \(0.356844\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.21486 | + | 2.21486i | −0.397800 | + | 0.397800i | −0.877456 | − | 0.479656i | \(-0.840761\pi\) |
0.479656 | + | 0.877456i | \(0.340761\pi\) | |||||||
\(32\) | −0.422618 | − | 0.906308i | −0.0747091 | − | 0.160214i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.84162 | − | 1.54530i | 0.315836 | − | 0.265017i | ||||
\(35\) | 3.71672 | − | 0.325171i | 0.628241 | − | 0.0549640i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.35421 | − | 5.60872i | 0.387029 | − | 0.922067i | ||||
\(38\) | − | 5.75886i | − | 0.934211i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.496537 | + | 0.591749i | 0.0785094 | + | 0.0935638i | ||||
\(41\) | −1.55885 | − | 8.84070i | −0.243452 | − | 1.38069i | −0.824060 | − | 0.566502i | \(-0.808296\pi\) |
0.580608 | − | 0.814183i | \(-0.302815\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.76488 | + | 5.76488i | 0.879136 | + | 0.879136i | 0.993445 | − | 0.114309i | \(-0.0364654\pi\) |
−0.114309 | + | 0.993445i | \(0.536465\pi\) | |||||||
\(44\) | 1.65806 | − | 4.55550i | 0.249963 | − | 0.686767i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.04383 | + | 5.91983i | −0.153904 | + | 0.872831i | ||||
\(47\) | 8.09588 | − | 4.67416i | 1.18091 | − | 0.681796i | 0.224681 | − | 0.974432i | \(-0.427866\pi\) |
0.956224 | + | 0.292636i | \(0.0945325\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 12.5074 | + | 10.4950i | 1.78678 | + | 1.49928i | ||||
\(50\) | 3.60696 | + | 2.52562i | 0.510101 | + | 0.357177i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.84609 | − | 3.95896i | 0.256007 | − | 0.549008i | ||||
\(53\) | 0.878899 | + | 2.41476i | 0.120726 | + | 0.331692i | 0.985305 | − | 0.170805i | \(-0.0546369\pi\) |
−0.864579 | + | 0.502497i | \(0.832415\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.326385 | + | 3.73059i | −0.0440097 | + | 0.503033i | ||||
\(56\) | −0.420948 | + | 4.81146i | −0.0562515 | + | 0.642958i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.688233 | − | 1.89090i | −0.0903694 | − | 0.248288i | ||||
\(59\) | 3.50297 | − | 7.51215i | 0.456048 | − | 0.977999i | −0.535044 | − | 0.844824i | \(-0.679705\pi\) |
0.991093 | − | 0.133175i | \(-0.0425171\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.07615 | − | 2.15394i | −0.393861 | − | 0.275784i | 0.359824 | − | 0.933020i | \(-0.382837\pi\) |
−0.753685 | + | 0.657236i | \(0.771726\pi\) | |||||||
\(62\) | 2.39947 | + | 2.01339i | 0.304733 | + | 0.255701i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.866025 | + | 0.500000i | −0.108253 | + | 0.0625000i | ||||
\(65\) | −0.585948 | + | 3.32308i | −0.0726779 | + | 0.412177i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.27780 | − | 11.7532i | 0.522616 | − | 1.43588i | −0.344981 | − | 0.938610i | \(-0.612115\pi\) |
0.867598 | − | 0.497267i | \(-0.165663\pi\) | |||||||
\(68\) | −1.69993 | − | 1.69993i | −0.206147 | − | 0.206147i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.647868 | − | 3.67424i | −0.0774350 | − | 0.439156i | ||||
\(71\) | 6.82252 | + | 8.13076i | 0.809684 | + | 0.964944i | 0.999859 | − | 0.0168061i | \(-0.00534979\pi\) |
−0.190174 | + | 0.981750i | \(0.560905\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 5.96741i | − | 0.698433i | −0.937042 | − | 0.349217i | \(-0.886448\pi\) | ||
0.937042 | − | 0.349217i | \(-0.113552\pi\) | |||||||
\(74\) | −5.79256 | − | 1.85642i | −0.673371 | − | 0.215804i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −5.73695 | + | 0.501918i | −0.658073 | + | 0.0575739i | ||||
\(77\) | −17.9364 | + | 15.0505i | −2.04405 | + | 1.71516i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.34136 | − | 11.4546i | −0.600950 | − | 1.28874i | −0.937798 | − | 0.347183i | \(-0.887138\pi\) |
0.336847 | − | 0.941559i | \(-0.390639\pi\) | |||||||
\(80\) | 0.546222 | − | 0.546222i | 0.0610694 | − | 0.0610694i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −8.67120 | + | 2.32344i | −0.957574 | + | 0.256581i | ||||
\(83\) | −7.54117 | − | 1.32971i | −0.827751 | − | 0.145955i | −0.256307 | − | 0.966595i | \(-0.582506\pi\) |
−0.571445 | + | 0.820641i | \(0.693617\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.60828 | + | 0.928540i | 0.174442 | + | 0.100714i | ||||
\(86\) | 5.24050 | − | 6.24539i | 0.565098 | − | 0.673457i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.68267 | − | 1.25472i | −0.499174 | − | 0.133753i | ||||
\(89\) | −8.54762 | − | 3.98582i | −0.906046 | − | 0.422496i | −0.0869894 | − | 0.996209i | \(-0.527725\pi\) |
−0.819056 | + | 0.573713i | \(0.805502\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −17.2823 | + | 12.1012i | −1.81168 | + | 1.26855i | ||||
\(92\) | 5.98827 | + | 0.523906i | 0.624321 | + | 0.0546210i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −5.36197 | − | 7.65769i | −0.553045 | − | 0.789831i | ||||
\(95\) | 4.18029 | − | 1.52150i | 0.428889 | − | 0.156103i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.616938 | + | 2.30244i | −0.0626406 | + | 0.233778i | −0.990148 | − | 0.140028i | \(-0.955281\pi\) |
0.927507 | + | 0.373806i | \(0.121947\pi\) | |||||||
\(98\) | 9.36496 | − | 13.3745i | 0.946004 | − | 1.35103i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.20164 | − | 3.81336i | 0.220164 | − | 0.381336i | ||||
\(101\) | 7.59134 | + | 13.1486i | 0.755367 | + | 1.30833i | 0.945192 | + | 0.326516i | \(0.105875\pi\) |
−0.189825 | + | 0.981818i | \(0.560792\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.73836 | − | 13.9517i | −0.368351 | − | 1.37471i | −0.862821 | − | 0.505510i | \(-0.831304\pi\) |
0.494470 | − | 0.869195i | \(-0.335362\pi\) | |||||||
\(104\) | −4.10479 | − | 1.49402i | −0.402508 | − | 0.146501i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.32897 | − | 1.08601i | 0.226209 | − | 0.105483i | ||||
\(107\) | −10.0900 | + | 1.77915i | −0.975442 | + | 0.171997i | −0.638578 | − | 0.769557i | \(-0.720477\pi\) |
−0.336863 | + | 0.941554i | \(0.609366\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.847015 | + | 9.68143i | 0.0811293 | + | 0.927312i | 0.922283 | + | 0.386516i | \(0.126322\pi\) |
−0.841153 | + | 0.540797i | \(0.818123\pi\) | |||||||
\(110\) | 3.74484 | 0.357057 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 4.82983 | 0.456377 | ||||||||
\(113\) | −0.235893 | − | 2.69626i | −0.0221909 | − | 0.253643i | −0.999185 | − | 0.0403750i | \(-0.987145\pi\) |
0.976994 | − | 0.213268i | \(-0.0684108\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.57291 | + | 0.806328i | −0.426426 | + | 0.0751905i | ||||
\(116\) | −1.82372 | + | 0.850417i | −0.169329 | + | 0.0789592i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −7.78887 | − | 2.83492i | −0.717024 | − | 0.260975i | ||||
\(119\) | 3.00521 | + | 11.2156i | 0.275487 | + | 1.02813i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −6.25086 | − | 10.8268i | −0.568260 | − | 0.984255i | ||||
\(122\) | −1.87764 | + | 3.25217i | −0.169994 | + | 0.294438i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.79660 | − | 2.56582i | 0.161340 | − | 0.230417i | ||||
\(125\) | −1.88001 | + | 7.01629i | −0.168153 | + | 0.627556i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.30258 | + | 3.38586i | −0.825470 | + | 0.300447i | −0.719998 | − | 0.693976i | \(-0.755857\pi\) |
−0.105472 | + | 0.994422i | \(0.533635\pi\) | |||||||
\(128\) | 0.573576 | + | 0.819152i | 0.0506975 | + | 0.0724035i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 3.36150 | + | 0.294093i | 0.294823 | + | 0.0257937i | ||||
\(131\) | −3.57335 | + | 2.50209i | −0.312205 | + | 0.218609i | −0.719168 | − | 0.694836i | \(-0.755477\pi\) |
0.406963 | + | 0.913445i | \(0.366588\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 25.2084 | + | 11.7549i | 2.18584 | + | 1.01928i | ||||
\(134\) | −12.0813 | − | 3.23717i | −1.04366 | − | 0.279648i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.54530 | + | 1.84162i | −0.132509 | + | 0.157918i | ||||
\(137\) | 12.5405 | + | 7.24028i | 1.07141 | + | 0.618579i | 0.928567 | − | 0.371166i | \(-0.121042\pi\) |
0.142844 | + | 0.989745i | \(0.454375\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.42951 | + | 0.957370i | 0.460525 | + | 0.0812030i | 0.399098 | − | 0.916908i | \(-0.369323\pi\) |
0.0614278 | + | 0.998112i | \(0.480435\pi\) | |||||||
\(140\) | −3.60379 | + | 0.965634i | −0.304576 | + | 0.0816109i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 7.50520 | − | 7.50520i | 0.629823 | − | 0.629823i | ||||
\(143\) | −8.94959 | − | 19.1925i | −0.748402 | − | 1.60495i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.19075 | − | 0.999160i | 0.0988866 | − | 0.0829757i | ||||
\(146\) | −5.94471 | + | 0.520094i | −0.491987 | + | 0.0430433i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.34450 | + | 5.93231i | −0.110517 | + | 0.487633i | ||||
\(149\) | 10.9793i | 0.899458i | 0.893165 | + | 0.449729i | \(0.148479\pi\) | ||||
−0.893165 | + | 0.449729i | \(0.851521\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −10.0789 | − | 12.0115i | −0.820207 | − | 0.977484i | 0.179774 | − | 0.983708i | \(-0.442463\pi\) |
−0.999981 | + | 0.00622350i | \(0.998019\pi\) | |||||||
\(152\) | 1.00002 | + | 5.67137i | 0.0811120 | + | 0.460009i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 16.5564 | + | 16.5564i | 1.33416 | + | 1.33416i | ||||
\(155\) | −0.827554 | + | 2.27369i | −0.0664708 | + | 0.182627i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.747096 | − | 4.23699i | 0.0596247 | − | 0.338149i | −0.940373 | − | 0.340144i | \(-0.889524\pi\) |
0.999998 | + | 0.00199559i | \(0.000635218\pi\) | |||||||
\(158\) | −10.9455 | + | 6.31937i | −0.870775 | + | 0.502742i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.591749 | − | 0.496537i | −0.0467819 | − | 0.0392547i | ||||
\(161\) | −23.7823 | − | 16.6526i | −1.87431 | − | 1.31241i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.95999 | − | 10.6367i | 0.388496 | − | 0.833133i | −0.610653 | − | 0.791898i | \(-0.709093\pi\) |
0.999149 | − | 0.0412349i | \(-0.0131292\pi\) | |||||||
\(164\) | 3.07034 | + | 8.43570i | 0.239754 | + | 0.658717i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.667396 | + | 7.62837i | −0.0518000 | + | 0.592076i | ||||
\(167\) | 1.73092 | − | 19.7845i | 0.133942 | − | 1.53097i | −0.570553 | − | 0.821261i | \(-0.693271\pi\) |
0.704495 | − | 0.709709i | \(-0.251173\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.07996 | − | 5.71463i | −0.159997 | − | 0.439587i | ||||
\(170\) | 0.784836 | − | 1.68309i | 0.0601941 | − | 0.129087i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −6.67836 | − | 4.67624i | −0.509220 | − | 0.356560i | ||||
\(173\) | 15.4542 | + | 12.9676i | 1.17496 | + | 0.985909i | 0.999999 | + | 0.00133371i | \(0.000424532\pi\) |
0.174961 | + | 0.984575i | \(0.444020\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −18.4179 | + | 10.6336i | −1.39226 | + | 0.803822i | ||||
\(176\) | −0.841822 | + | 4.77421i | −0.0634547 | + | 0.359869i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −3.22568 | + | 8.86248i | −0.241775 | + | 0.664271i | ||||
\(179\) | 0.932166 | + | 0.932166i | 0.0696733 | + | 0.0696733i | 0.741085 | − | 0.671411i | \(-0.234312\pi\) |
−0.671411 | + | 0.741085i | \(0.734312\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.426058 | − | 2.41629i | −0.0316686 | − | 0.179602i | 0.964871 | − | 0.262726i | \(-0.0846214\pi\) |
−0.996539 | + | 0.0831239i | \(0.973510\pi\) | |||||||
\(182\) | 13.5614 | + | 16.1619i | 1.00524 | + | 1.19800i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | − | 6.01115i | − | 0.443148i | ||||||
\(185\) | −0.182853 | − | 4.69522i | −0.0134436 | − | 0.345199i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −11.6102 | + | 1.01576i | −0.849024 | + | 0.0742799i | ||||
\(188\) | −7.16122 | + | 6.00898i | −0.522286 | + | 0.438250i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.88005 | − | 4.03178i | −0.136393 | − | 0.292496i | ||||
\(191\) | 14.1268 | − | 14.1268i | 1.02218 | − | 1.02218i | 0.0224327 | − | 0.999748i | \(-0.492859\pi\) |
0.999748 | − | 0.0224327i | \(-0.00714116\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 7.67390 | − | 2.05621i | 0.552379 | − | 0.148010i | 0.0281763 | − | 0.999603i | \(-0.491030\pi\) |
0.524203 | + | 0.851593i | \(0.324363\pi\) | |||||||
\(194\) | 2.34745 | + | 0.413919i | 0.168537 | + | 0.0297177i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −14.1399 | − | 8.16365i | −1.00999 | − | 0.583118i | ||||
\(197\) | −10.0495 | + | 11.9765i | −0.715997 | + | 0.853292i | −0.994235 | − | 0.107220i | \(-0.965805\pi\) |
0.278239 | + | 0.960512i | \(0.410249\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.50441 | − | 2.54670i | −0.673750 | − | 0.180531i | −0.0943064 | − | 0.995543i | \(-0.530063\pi\) |
−0.579443 | + | 0.815012i | \(0.696730\pi\) | |||||||
\(200\) | −3.99073 | − | 1.86091i | −0.282187 | − | 0.131586i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 12.4369 | − | 8.70843i | 0.875059 | − | 0.612723i | ||||
\(203\) | 9.68189 | + | 0.847056i | 0.679535 | + | 0.0594516i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.97750 | − | 5.68046i | −0.277801 | − | 0.396741i | ||||
\(206\) | −13.5728 | + | 4.94010i | −0.945663 | + | 0.344193i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.13058 | + | 4.21938i | −0.0783916 | + | 0.292561i | ||||
\(209\) | −16.0132 | + | 22.8692i | −1.10766 | + | 1.58190i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.69398 | + | 9.86226i | −0.391990 | + | 0.678946i | −0.992712 | − | 0.120512i | \(-0.961546\pi\) |
0.600722 | + | 0.799458i | \(0.294880\pi\) | |||||||
\(212\) | −1.28486 | − | 2.22545i | −0.0882449 | − | 0.152845i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.65178 | + | 9.89659i | 0.181272 | + | 0.676517i | ||||
\(215\) | 5.91800 | + | 2.15398i | 0.403604 | + | 0.146900i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −13.7110 | + | 6.39354i | −0.930763 | + | 0.434022i | ||||
\(218\) | 9.57076 | − | 1.68758i | 0.648214 | − | 0.114298i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.326385 | − | 3.73059i | −0.0220048 | − | 0.251517i | ||||
\(221\) | −10.5015 | −0.706408 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 22.7165 | 1.52121 | 0.760604 | − | 0.649216i | \(-0.224903\pi\) | ||||
0.760604 | + | 0.649216i | \(0.224903\pi\) | |||||||
\(224\) | −0.420948 | − | 4.81146i | −0.0281258 | − | 0.321479i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.66544 | + | 0.469990i | −0.177303 | + | 0.0312633i | ||||
\(227\) | −12.4715 | + | 5.81557i | −0.827765 | + | 0.385993i | −0.789859 | − | 0.613288i | \(-0.789846\pi\) |
−0.0379059 | + | 0.999281i | \(0.512069\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −4.84646 | − | 1.76397i | −0.320263 | − | 0.116566i | 0.176886 | − | 0.984231i | \(-0.443398\pi\) |
−0.497149 | + | 0.867665i | \(0.665620\pi\) | |||||||
\(230\) | 1.20181 | + | 4.48523i | 0.0792453 | + | 0.295748i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.00613 | + | 1.74267i | 0.0660556 | + | 0.114412i | ||||
\(233\) | −2.78253 | + | 4.81949i | −0.182290 | + | 0.315735i | −0.942660 | − | 0.333755i | \(-0.891684\pi\) |
0.760370 | + | 0.649490i | \(0.225018\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.14199 | − | 5.91537i | 0.270193 | − | 0.385876i | ||||
\(236\) | −2.14528 | + | 8.00631i | −0.139646 | + | 0.521166i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 10.9110 | − | 3.97128i | 0.707255 | − | 0.257420i | ||||
\(239\) | −10.6846 | − | 15.2592i | −0.691132 | − | 0.987038i | −0.999362 | − | 0.0357263i | \(-0.988626\pi\) |
0.308230 | − | 0.951312i | \(-0.400263\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.27697 | − | 0.199209i | −0.146673 | − | 0.0128322i | 0.0135829 | − | 0.999908i | \(-0.495676\pi\) |
−0.160256 | + | 0.987076i | \(0.551232\pi\) | |||||||
\(242\) | −10.2408 | + | 7.17069i | −0.658304 | + | 0.460950i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 3.40345 | + | 1.58705i | 0.217883 | + | 0.101601i | ||||
\(245\) | 12.1827 | + | 3.26433i | 0.778322 | + | 0.208551i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −16.1700 | + | 19.2706i | −1.02887 | + | 1.22616i | ||||
\(248\) | −2.71264 | − | 1.56614i | −0.172253 | − | 0.0994501i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 7.15344 | + | 1.26134i | 0.452423 | + | 0.0797744i | ||||
\(251\) | 21.7854 | − | 5.83737i | 1.37508 | − | 0.368452i | 0.505749 | − | 0.862681i | \(-0.331216\pi\) |
0.869332 | + | 0.494229i | \(0.164550\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 20.6059 | − | 20.6059i | 1.29548 | − | 1.29548i | ||||
\(254\) | 4.18375 | + | 8.97208i | 0.262512 | + | 0.562958i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 13.5323 | − | 1.18392i | 0.844120 | − | 0.0738510i | 0.343113 | − | 0.939294i | \(-0.388519\pi\) |
0.501007 | + | 0.865443i | \(0.332963\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 19.9498 | − | 21.5666i | 1.23962 | − | 1.34008i | ||||
\(260\) | − | 3.37434i | − | 0.209268i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 2.80401 | + | 3.34168i | 0.173232 | + | 0.206450i | ||||
\(263\) | 1.43378 | + | 8.13140i | 0.0884110 | + | 0.501403i | 0.996568 | + | 0.0827745i | \(0.0263781\pi\) |
−0.908157 | + | 0.418629i | \(0.862511\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.40364 | + | 1.40364i | 0.0862250 | + | 0.0862250i | ||||
\(266\) | 9.51307 | − | 26.1369i | 0.583284 | − | 1.60256i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −2.17190 | + | 12.3174i | −0.132670 | + | 0.752407i | ||||
\(269\) | 4.64654 | − | 2.68268i | 0.283304 | − | 0.163566i | −0.351614 | − | 0.936145i | \(-0.614367\pi\) |
0.634918 | + | 0.772579i | \(0.281034\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −7.74885 | − | 6.50205i | −0.470709 | − | 0.394972i | 0.376344 | − | 0.926480i | \(-0.377181\pi\) |
−0.847053 | + | 0.531508i | \(0.821625\pi\) | |||||||
\(272\) | 1.96930 | + | 1.37892i | 0.119406 | + | 0.0836091i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6.11975 | − | 13.1239i | 0.369708 | − | 0.792841i | ||||
\(275\) | −7.30093 | − | 20.0591i | −0.440263 | − | 1.20961i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.00383 | + | 22.9039i | −0.120398 | + | 1.37616i | 0.660182 | + | 0.751105i | \(0.270479\pi\) |
−0.780581 | + | 0.625055i | \(0.785077\pi\) | |||||||
\(278\) | 0.480513 | − | 5.49229i | 0.0288193 | − | 0.329406i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.27605 | + | 3.50592i | 0.0762586 | + | 0.209519i | ||||
\(281\) | 9.14766 | − | 19.6172i | 0.545703 | − | 1.17026i | −0.419257 | − | 0.907868i | \(-0.637709\pi\) |
0.964960 | − | 0.262397i | \(-0.0845130\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.9550 | − | 7.67077i | −0.651206 | − | 0.455980i | 0.200715 | − | 0.979650i | \(-0.435674\pi\) |
−0.851921 | + | 0.523670i | \(0.824562\pi\) | |||||||
\(284\) | −8.13076 | − | 6.82252i | −0.482472 | − | 0.404842i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −18.3394 | + | 10.5883i | −1.08443 | + | 0.626097i | ||||
\(287\) | 7.52901 | − | 42.6991i | 0.444423 | − | 2.52045i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3.83762 | − | 10.5438i | 0.225743 | − | 0.620223i | ||||
\(290\) | −1.09914 | − | 1.09914i | −0.0645436 | − | 0.0645436i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.03623 | + | 5.87676i | 0.0606408 | + | 0.343911i | ||||
\(293\) | 0.512469 | + | 0.610737i | 0.0299388 | + | 0.0356796i | 0.780806 | − | 0.624773i | \(-0.214809\pi\) |
−0.750867 | + | 0.660453i | \(0.770364\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 6.40284i | − | 0.372788i | ||||||
\(296\) | 6.02692 | + | 0.822346i | 0.350308 | + | 0.0477979i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.9375 | − | 0.956908i | 0.633593 | − | 0.0554322i | ||||
\(299\) | 20.1148 | − | 16.8783i | 1.16327 | − | 0.976100i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 16.6412 | + | 35.6873i | 0.959186 | + | 2.05698i | ||||
\(302\) | −11.0874 | + | 11.0874i | −0.638008 | + | 0.638008i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 5.56263 | − | 1.49050i | 0.319039 | − | 0.0854862i | ||||
\(305\) | −2.85679 | − | 0.503729i | −0.163579 | − | 0.0288435i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.15411 | + | 1.24367i | 0.122941 | + | 0.0709802i | 0.560210 | − | 0.828351i | \(-0.310721\pi\) |
−0.437268 | + | 0.899331i | \(0.644054\pi\) | |||||||
\(308\) | 15.0505 | − | 17.9364i | 0.857579 | − | 1.02202i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.33716 | + | 0.626240i | 0.132742 | + | 0.0355681i | ||||
\(311\) | 11.9333 | + | 5.56461i | 0.676678 | + | 0.315540i | 0.730404 | − | 0.683016i | \(-0.239332\pi\) |
−0.0537257 | + | 0.998556i | \(0.517110\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.847475 | + | 0.593409i | −0.0479021 | + | 0.0335414i | −0.597282 | − | 0.802031i | \(-0.703753\pi\) |
0.549380 | + | 0.835573i | \(0.314864\pi\) | |||||||
\(314\) | −4.28598 | − | 0.374975i | −0.241872 | − | 0.0211610i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7.24928 | + | 10.3530i | 0.407804 | + | 0.582404i | ||||
\(317\) | −13.9900 | + | 5.09193i | −0.785755 | + | 0.285991i | −0.703570 | − | 0.710626i | \(-0.748412\pi\) |
−0.0821847 | + | 0.996617i | \(0.526190\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.52482 | + | 9.42274i | −0.141363 | + | 0.527572i | ||||
\(320\) | −0.443073 | + | 0.632774i | −0.0247685 | + | 0.0353731i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −14.5164 | + | 25.1432i | −0.808969 | + | 1.40118i | ||||
\(323\) | 6.92234 | + | 11.9899i | 0.385170 | + | 0.667133i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.97826 | − | 18.5791i | −0.276144 | − | 1.03058i | ||||
\(326\) | −11.0285 | − | 4.01406i | −0.610815 | − | 0.222318i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 8.13600 | − | 3.79388i | 0.449235 | − | 0.209482i | ||||
\(329\) | 44.4649 | − | 7.84036i | 2.45143 | − | 0.432253i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.839060 | − | 9.59050i | −0.0461189 | − | 0.527142i | −0.983754 | − | 0.179521i | \(-0.942545\pi\) |
0.937635 | − | 0.347621i | \(-0.113010\pi\) | |||||||
\(332\) | 7.65751 | 0.420260 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −19.8601 | −1.08669 | ||||||||
\(335\) | −0.842071 | − | 9.62491i | −0.0460072 | − | 0.525865i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −15.0598 | + | 2.65545i | −0.820361 | + | 0.144652i | −0.568049 | − | 0.822994i | \(-0.692302\pi\) |
−0.252311 | + | 0.967646i | \(0.581191\pi\) | |||||||
\(338\) | −5.51161 | + | 2.57011i | −0.299792 | + | 0.139795i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.74508 | − | 0.635158i | −0.0946404 | − | 0.0344463i | ||||
\(341\) | −3.93013 | − | 14.6674i | −0.212828 | − | 0.794287i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 22.5247 | + | 39.0139i | 1.21622 | + | 2.10655i | ||||
\(344\) | −4.07639 | + | 7.06051i | −0.219784 | + | 0.380677i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 11.5713 | − | 16.5256i | 0.622079 | − | 0.888421i | ||||
\(347\) | −4.90451 | + | 18.3039i | −0.263288 | + | 0.982604i | 0.700002 | + | 0.714141i | \(0.253183\pi\) |
−0.963290 | + | 0.268463i | \(0.913484\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 7.67936 | − | 2.79506i | 0.411067 | − | 0.149616i | −0.128205 | − | 0.991748i | \(-0.540922\pi\) |
0.539272 | + | 0.842132i | \(0.318699\pi\) | |||||||
\(350\) | 12.1983 | + | 17.4210i | 0.652028 | + | 0.931192i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.82941 | + | 0.422519i | 0.257408 | + | 0.0225203i | ||||
\(353\) | −6.62053 | + | 4.63574i | −0.352375 | + | 0.246736i | −0.736340 | − | 0.676612i | \(-0.763447\pi\) |
0.383964 | + | 0.923348i | \(0.374559\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 7.43083 | + | 3.46505i | 0.394387 | + | 0.183906i | ||||
\(356\) | 9.10989 | + | 2.44099i | 0.482823 | + | 0.129372i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.847375 | − | 1.00986i | 0.0447852 | − | 0.0533729i | ||||
\(359\) | 1.93796 | + | 1.11888i | 0.102282 | + | 0.0590523i | 0.550268 | − | 0.834988i | \(-0.314525\pi\) |
−0.447987 | + | 0.894040i | \(0.647859\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 13.9493 | + | 2.45964i | 0.734174 | + | 0.129455i | ||||
\(362\) | −2.36996 | + | 0.635030i | −0.124563 | + | 0.0333764i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 14.9184 | − | 14.9184i | 0.781937 | − | 0.781937i | ||||
\(365\) | −1.94813 | − | 4.17778i | −0.101970 | − | 0.218675i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 9.56558 | − | 8.02648i | 0.499319 | − | 0.418979i | −0.358033 | − | 0.933709i | \(-0.616552\pi\) |
0.857352 | + | 0.514730i | \(0.172108\pi\) | |||||||
\(368\) | −5.98827 | + | 0.523906i | −0.312160 | + | 0.0273105i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −4.66141 | + | 0.591372i | −0.242335 | + | 0.0307440i | ||||
\(371\) | 12.4114i | 0.644366i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.81976 | − | 5.74396i | −0.249557 | − | 0.297411i | 0.626694 | − | 0.779266i | \(-0.284408\pi\) |
−0.876251 | + | 0.481855i | \(0.839963\pi\) | |||||||
\(374\) | 2.02380 | + | 11.4775i | 0.104648 | + | 0.593488i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 6.61026 | + | 6.61026i | 0.340898 | + | 0.340898i | ||||
\(377\) | −3.00635 | + | 8.25989i | −0.154835 | + | 0.425406i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.34229 | + | 7.61251i | −0.0689489 | + | 0.391029i | 0.930730 | + | 0.365706i | \(0.119172\pi\) |
−0.999679 | + | 0.0253226i | \(0.991939\pi\) | |||||||
\(380\) | −3.85258 | + | 2.22429i | −0.197633 | + | 0.114103i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −15.3043 | − | 12.8418i | −0.783036 | − | 0.657045i | ||||
\(383\) | −4.87023 | − | 3.41017i | −0.248857 | − | 0.174252i | 0.442492 | − | 0.896772i | \(-0.354094\pi\) |
−0.691349 | + | 0.722521i | \(0.742983\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −7.64389 | + | 16.3924i | −0.389569 | + | 0.835432i | ||||
\(386\) | −2.71721 | − | 7.46548i | −0.138303 | − | 0.379983i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.207750 | − | 2.37460i | 0.0105469 | − | 0.120552i | ||||
\(389\) | 2.91280 | − | 33.2934i | 0.147685 | − | 1.68804i | −0.455337 | − | 0.890319i | \(-0.650481\pi\) |
0.603022 | − | 0.797725i | \(-0.293963\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.94260 | − | 13.5797i | −0.249958 | − | 0.686754i | ||||
\(392\) | −6.90022 | + | 14.7976i | −0.348514 | + | 0.747390i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 12.8068 | + | 8.96743i | 0.645198 | + | 0.451773i | ||||
\(395\) | −7.47897 | − | 6.27560i | −0.376308 | − | 0.315760i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −6.33061 | + | 3.65498i | −0.317724 | + | 0.183438i | −0.650378 | − | 0.759611i | \(-0.725389\pi\) |
0.332654 | + | 0.943049i | \(0.392056\pi\) | |||||||
\(398\) | −1.70864 | + | 9.69020i | −0.0856466 | + | 0.485726i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.50601 | + | 4.13773i | −0.0753006 | + | 0.206887i | ||||
\(401\) | −2.85652 | − | 2.85652i | −0.142648 | − | 0.142648i | 0.632177 | − | 0.774824i | \(-0.282162\pi\) |
−0.774824 | + | 0.632177i | \(0.782162\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.37594 | − | 13.4746i | −0.118354 | − | 0.671220i | ||||
\(404\) | −9.75924 | − | 11.6306i | −0.485541 | − | 0.578645i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | − | 9.71887i | − | 0.482340i | ||||||
\(407\) | 17.8410 | + | 23.4790i | 0.884347 | + | 1.16381i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.09538 | − | 0.0958335i | 0.0541632 | − | 0.00473866i | −0.0600420 | − | 0.998196i | \(-0.519123\pi\) |
0.114205 | + | 0.993457i | \(0.463568\pi\) | |||||||
\(410\) | −5.31218 | + | 4.45745i | −0.262350 | + | 0.220138i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 6.10425 | + | 13.0906i | 0.300735 | + | 0.644928i | ||||
\(413\) | 28.3078 | − | 28.3078i | 1.39293 | − | 1.39293i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −5.71367 | + | 1.53097i | −0.280473 | + | 0.0751525i | ||||
\(416\) | 4.30186 | + | 0.758534i | 0.210916 | + | 0.0371902i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 24.1778 | + | 13.9591i | 1.18258 | + | 0.682761i | ||||
\(419\) | 7.77299 | − | 9.26348i | 0.379735 | − | 0.452551i | −0.541995 | − | 0.840381i | \(-0.682331\pi\) |
0.921731 | + | 0.387831i | \(0.126775\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −9.46844 | − | 2.53706i | −0.461463 | − | 0.123649i | 0.0205949 | − | 0.999788i | \(-0.493444\pi\) |
−0.482058 | + | 0.876139i | \(0.660111\pi\) | |||||||
\(422\) | 10.3210 | + | 4.81276i | 0.502418 | + | 0.234281i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.10500 | + | 1.47394i | −0.102228 | + | 0.0715807i | ||||
\(425\) | −10.5455 | − | 0.922612i | −0.511532 | − | 0.0447533i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −10.4032 | − | 14.8573i | −0.503446 | − | 0.718995i | ||||
\(428\) | 9.62781 | − | 3.50424i | 0.465378 | − | 0.169384i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.62999 | − | 6.08321i | 0.0786052 | − | 0.293359i | ||||
\(431\) | 6.26981 | − | 8.95421i | 0.302006 | − | 0.431309i | −0.639252 | − | 0.768997i | \(-0.720756\pi\) |
0.941258 | + | 0.337688i | \(0.109645\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −19.2059 | + | 33.2656i | −0.922978 | + | 1.59864i | −0.128196 | + | 0.991749i | \(0.540919\pi\) |
−0.794782 | + | 0.606895i | \(0.792415\pi\) | |||||||
\(434\) | 7.56420 | + | 13.1016i | 0.363093 | + | 0.628896i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.51531 | − | 9.38726i | −0.120461 | − | 0.449568i | ||||
\(437\) | −32.5297 | − | 11.8398i | −1.55611 | − | 0.566376i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 15.4648 | − | 7.21136i | 0.738095 | − | 0.344179i | −0.0169465 | − | 0.999856i | \(-0.505395\pi\) |
0.755041 | + | 0.655677i | \(0.227617\pi\) | |||||||
\(440\) | −3.68795 | + | 0.650285i | −0.175816 | + | 0.0310011i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.915266 | + | 10.4615i | 0.0435348 | + | 0.497605i | ||||
\(443\) | 24.2781 | 1.15349 | 0.576744 | − | 0.816925i | \(-0.304323\pi\) | ||||
0.576744 | + | 0.816925i | \(0.304323\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −7.28540 | −0.345361 | ||||||||
\(446\) | −1.97987 | − | 22.6300i | −0.0937497 | − | 1.07156i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −4.75646 | + | 0.838692i | −0.224722 | + | 0.0396245i | ||||
\(449\) | 16.2885 | − | 7.59547i | 0.768704 | − | 0.358452i | 0.00161930 | − | 0.999999i | \(-0.499485\pi\) |
0.767084 | + | 0.641546i | \(0.221707\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 40.8951 | + | 14.8846i | 1.92567 | + | 0.700888i | ||||
\(452\) | 0.700510 | + | 2.61434i | 0.0329492 | + | 0.122968i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 6.88041 | + | 11.9172i | 0.322914 | + | 0.559303i | ||||
\(455\) | −8.14875 | + | 14.1141i | −0.382019 | + | 0.661677i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.280815 | + | 0.401046i | −0.0131360 | + | 0.0187601i | −0.825666 | − | 0.564159i | \(-0.809201\pi\) |
0.812530 | + | 0.582919i | \(0.198089\pi\) | |||||||
\(458\) | −1.33486 | + | 4.98176i | −0.0623739 | + | 0.232782i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 4.36342 | − | 1.58816i | 0.203446 | − | 0.0740481i | ||||
\(461\) | −14.1082 | − | 20.1486i | −0.657084 | − | 0.938413i | 0.342916 | − | 0.939366i | \(-0.388585\pi\) |
−1.00000 | 0.000953260i | \(0.999697\pi\) | ||||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −27.4934 | − | 2.40536i | −1.27773 | − | 0.111787i | −0.571990 | − | 0.820261i | \(-0.693828\pi\) |
−0.705737 | + | 0.708474i | \(0.749384\pi\) | |||||||
\(464\) | 1.64835 | − | 1.15418i | 0.0765225 | − | 0.0535816i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 5.04367 | + | 2.35190i | 0.233643 | + | 0.108950i | ||||
\(467\) | 35.7621 | + | 9.58242i | 1.65487 | + | 0.443422i | 0.960971 | − | 0.276649i | \(-0.0892240\pi\) |
0.693901 | + | 0.720071i | \(0.255891\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 38.8301 | − | 46.2759i | 1.79301 | − | 2.13682i | ||||
\(470\) | −6.25386 | − | 3.61067i | −0.288469 | − | 0.166548i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 8.16282 | + | 1.43932i | 0.375724 | + | 0.0662503i | ||||
\(473\) | −38.1767 | + | 10.2294i | −1.75537 | + | 0.470350i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −17.9307 | + | 17.9307i | −0.822719 | + | 0.822719i | ||||
\(476\) | −4.90712 | − | 10.5234i | −0.224918 | − | 0.482337i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −14.2699 | + | 11.9739i | −0.652692 | + | 0.547674i | ||||
\(479\) | −33.1595 | + | 2.90108i | −1.51510 | + | 0.132554i | −0.814148 | − | 0.580658i | \(-0.802795\pi\) |
−0.700949 | + | 0.713212i | \(0.747240\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 14.1708 | + | 22.4766i | 0.646135 | + | 1.02485i | ||||
\(482\) | 2.28567i | 0.104109i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 8.03595 | + | 9.57687i | 0.365270 | + | 0.435312i | ||||
\(485\) | 0.319742 | + | 1.81335i | 0.0145187 | + | 0.0823398i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −23.4650 | − | 23.4650i | −1.06330 | − | 1.06330i | −0.997856 | − | 0.0654434i | \(-0.979154\pi\) |
−0.0654434 | − | 0.997856i | \(-0.520846\pi\) | |||||||
\(488\) | 1.28438 | − | 3.52881i | 0.0581413 | − | 0.159742i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 2.19012 | − | 12.4208i | 0.0989397 | − | 0.561115i | ||||
\(491\) | −19.3042 | + | 11.1453i | −0.871186 | + | 0.502979i | −0.867742 | − | 0.497015i | \(-0.834429\pi\) |
−0.00344362 | + | 0.999994i | \(0.501096\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.70582 | + | 3.10955i | 0.166902 | + | 0.140047i | ||||
\(494\) | 20.6066 | + | 14.4289i | 0.927134 | + | 0.649187i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.32376 | + | 2.83881i | −0.0594386 | + | 0.127466i | ||||
\(497\) | 17.5332 | + | 48.1721i | 0.786472 | + | 2.16081i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.93219 | + | 33.5151i | −0.131263 | + | 1.50034i | 0.589843 | + | 0.807518i | \(0.299190\pi\) |
−0.721106 | + | 0.692825i | \(0.756366\pi\) | |||||||
\(500\) | 0.633081 | − | 7.23615i | 0.0283123 | − | 0.323611i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −7.71388 | − | 21.1937i | −0.344287 | − | 0.945922i | ||||
\(503\) | −10.6967 | + | 22.9391i | −0.476941 | + | 1.02280i | 0.509769 | + | 0.860311i | \(0.329731\pi\) |
−0.986710 | + | 0.162492i | \(0.948047\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.60721 | + | 6.72704i | 0.427515 | + | 0.299349i | ||||
\(506\) | −22.3234 | − | 18.7316i | −0.992398 | − | 0.832721i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 8.57330 | − | 4.94980i | 0.380379 | − | 0.219612i | ||||
\(509\) | 0.447421 | − | 2.53745i | 0.0198316 | − | 0.112470i | −0.973285 | − | 0.229600i | \(-0.926258\pi\) |
0.993117 | + | 0.117130i | \(0.0373693\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 9.85758 | − | 27.0835i | 0.436074 | − | 1.19810i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −2.35883 | − | 13.3776i | −0.104044 | − | 0.590061i | ||||
\(515\) | −7.17193 | − | 8.54717i | −0.316033 | − | 0.376633i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 45.3193i | 1.99314i | ||||||||
\(518\) | −23.2233 | − | 17.9942i | −1.02037 | − | 0.790619i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.36150 | + | 0.294093i | −0.147412 | + | 0.0128968i | ||||
\(521\) | −26.2417 | + | 22.0194i | −1.14967 | + | 0.964687i | −0.999712 | − | 0.0240057i | \(-0.992358\pi\) |
−0.149957 | + | 0.988692i | \(0.547914\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 9.22759 | + | 19.7886i | 0.403494 | + | 0.865296i | 0.998120 | + | 0.0612933i | \(0.0195225\pi\) |
−0.594626 | + | 0.804003i | \(0.702700\pi\) | |||||||
\(524\) | 3.08458 | − | 3.08458i | 0.134751 | − | 0.134751i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.97549 | − | 2.13703i | 0.347748 | − | 0.0931788i | ||||
\(527\) | −7.41581 | − | 1.30761i | −0.323038 | − | 0.0569603i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.3743 | + | 6.56696i | 0.494535 | + | 0.285520i | ||||
\(530\) | 1.27597 | − | 1.52064i | 0.0554244 | − | 0.0660522i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −26.8666 | − | 7.19889i | −1.16482 | − | 0.312111i | ||||
\(533\) | 35.5399 | + | 16.5725i | 1.53940 | + | 0.717835i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.48321 | + | 4.53959i | −0.280294 | + | 0.196264i | ||||
\(536\) | 12.4599 | + | 1.09010i | 0.538184 | + | 0.0470850i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −3.07744 | − | 4.39505i | −0.132678 | − | 0.189484i | ||||
\(539\) | −74.3790 | + | 27.0717i | −3.20373 | + | 1.16606i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.9911 | − | 41.0192i | 0.472543 | − | 1.76355i | −0.158042 | − | 0.987432i | \(-0.550518\pi\) |
0.630584 | − | 0.776121i | \(-0.282815\pi\) | |||||||
\(542\) | −5.80195 | + | 8.28605i | −0.249215 | + | 0.355916i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.20203 | − | 2.08198i | 0.0515368 | − | 0.0892643i | ||||
\(545\) | 3.75361 | + | 6.50144i | 0.160787 | + | 0.278491i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −7.71351 | − | 28.7872i | −0.329806 | − | 1.23085i | −0.909392 | − | 0.415941i | \(-0.863452\pi\) |
0.579586 | − | 0.814911i | \(-0.303214\pi\) | |||||||
\(548\) | −13.6073 | − | 4.95265i | −0.581274 | − | 0.211567i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −19.3465 | + | 9.02142i | −0.824937 | + | 0.384675i | ||||
\(551\) | 11.4123 | − | 2.01229i | 0.486179 | − | 0.0857264i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −5.32025 | − | 60.8107i | −0.226240 | − | 2.58594i | ||||
\(554\) | 22.9914 | 0.976809 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −5.51327 | −0.233815 | ||||||||
\(557\) | 1.09335 | + | 12.4971i | 0.0463269 | + | 0.529519i | 0.983531 | + | 0.180738i | \(0.0578486\pi\) |
−0.937204 | + | 0.348781i | \(0.886596\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −35.0721 | + | 6.18416i | −1.48339 | + | 0.261562i | ||||
\(560\) | 3.38136 | − | 1.57676i | 0.142889 | − | 0.0666301i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −20.3398 | − | 7.40309i | −0.857984 | − | 0.312281i | ||||
\(563\) | 1.11046 | + | 4.14429i | 0.0468003 | + | 0.174661i | 0.985370 | − | 0.170428i | \(-0.0545152\pi\) |
−0.938570 | + | 0.345090i | \(0.887849\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.04537 | − | 1.81064i | −0.0439793 | − | 0.0761743i | ||||
\(566\) | −6.68679 | + | 11.5819i | −0.281067 | + | 0.486822i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −6.08792 | + | 8.69445i | −0.255443 | + | 0.364811i | ||||
\(569\) | −6.35699 | + | 23.7246i | −0.266499 | + | 0.994588i | 0.694827 | + | 0.719176i | \(0.255481\pi\) |
−0.961326 | + | 0.275411i | \(0.911186\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 30.7894 | − | 11.2064i | 1.28850 | − | 0.468974i | 0.395263 | − | 0.918568i | \(-0.370654\pi\) |
0.893233 | + | 0.449594i | \(0.148431\pi\) | |||||||
\(572\) | 12.1464 | + | 17.3468i | 0.507865 | + | 0.725306i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −43.1928 | − | 3.77888i | −1.80283 | − | 0.157728i | ||||
\(575\) | 21.6820 | − | 15.1819i | 0.904201 | − | 0.633128i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 0.500001 | + | 0.233154i | 0.0208153 | + | 0.00970633i | 0.432998 | − | 0.901395i | \(-0.357456\pi\) |
−0.412183 | + | 0.911101i | \(0.635233\pi\) | |||||||
\(578\) | −10.8381 | − | 2.90407i | −0.450807 | − | 0.120793i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.999160 | + | 1.19075i | −0.0414879 | + | 0.0494433i | ||||
\(581\) | −32.0295 | − | 18.4923i | −1.32881 | − | 0.767188i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −12.2684 | − | 2.16325i | −0.508106 | − | 0.0895928i | ||||
\(584\) | 5.76408 | − | 1.54448i | 0.238519 | − | 0.0639111i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.563748 | − | 0.563748i | 0.0232882 | − | 0.0232882i | ||||
\(587\) | 4.63066 | + | 9.93049i | 0.191128 | + | 0.409875i | 0.978397 | − | 0.206734i | \(-0.0662836\pi\) |
−0.787269 | + | 0.616609i | \(0.788506\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −13.8182 | + | 11.5948i | −0.569369 | + | 0.477757i | ||||
\(590\) | −6.37847 | + | 0.558044i | −0.262598 | + | 0.0229743i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.293936 | − | 6.07566i | 0.0120807 | − | 0.249708i | ||||
\(593\) | 33.2747i | 1.36643i | 0.730219 | + | 0.683213i | \(0.239418\pi\) | ||||
−0.730219 | + | 0.683213i | \(0.760582\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.76541 | + | 6.87095i | 0.236359 | + | 0.281681i | ||||
\(596\) | −1.90653 | − | 10.8125i | −0.0780946 | − | 0.442897i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −18.5672 | − | 18.5672i | −0.759271 | − | 0.759271i | ||||
\(599\) | 12.2743 | − | 33.7235i | 0.501516 | − | 1.37790i | −0.388279 | − | 0.921542i | \(-0.626930\pi\) |
0.889795 | − | 0.456361i | \(-0.150847\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.99181 | + | 11.2961i | −0.0812475 | + | 0.460777i | 0.916856 | + | 0.399218i | \(0.130718\pi\) |
−0.998103 | + | 0.0615592i | \(0.980393\pi\) | |||||||
\(602\) | 34.1011 | − | 19.6883i | 1.38986 | − | 0.802434i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 12.0115 | + | 10.0789i | 0.488742 | + | 0.410103i | ||||
\(605\) | −7.91076 | − | 5.53917i | −0.321618 | − | 0.225199i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −15.2512 | + | 32.7063i | −0.619027 | + | 1.32751i | 0.307596 | + | 0.951517i | \(0.400475\pi\) |
−0.926623 | + | 0.375991i | \(0.877302\pi\) | |||||||
\(608\) | −1.96965 | − | 5.41156i | −0.0798797 | − | 0.219468i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.252827 | + | 2.88982i | −0.0102367 | + | 0.117005i | ||||
\(611\) | −3.55905 | + | 40.6801i | −0.143984 | + | 1.64574i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −12.6318 | − | 34.7056i | −0.510194 | − | 1.40175i | −0.881035 | − | 0.473051i | \(-0.843153\pi\) |
0.370841 | − | 0.928696i | \(-0.379070\pi\) | |||||||
\(614\) | 1.05120 | − | 2.25430i | 0.0424229 | − | 0.0909763i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −19.1799 | − | 13.4299i | −0.772781 | − | 0.541107i | ||||
\(617\) | 6.66131 | + | 5.58951i | 0.268174 | + | 0.225025i | 0.766951 | − | 0.641705i | \(-0.221773\pi\) |
−0.498777 | + | 0.866730i | \(0.666217\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 18.9610 | − | 10.9471i | 0.762105 | − | 0.440002i | −0.0679458 | − | 0.997689i | \(-0.521644\pi\) |
0.830051 | + | 0.557687i | \(0.188311\pi\) | |||||||
\(620\) | 0.420160 | − | 2.38285i | 0.0168740 | − | 0.0956975i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 4.50338 | − | 12.3729i | 0.180569 | − | 0.496109i | ||||
\(623\) | −32.2097 | − | 32.2097i | −1.29045 | − | 1.29045i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2.84876 | − | 16.1561i | −0.113950 | − | 0.646244i | ||||
\(626\) | 0.665013 | + | 0.792531i | 0.0265793 | + | 0.0316759i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4.30235i | 0.171683i | ||||||||
\(629\) | 14.2915 | − | 3.09782i | 0.569839 | − | 0.123518i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 28.1732 | − | 2.46483i | 1.12156 | − | 0.0981235i | 0.488743 | − | 0.872428i | \(-0.337456\pi\) |
0.632813 | + | 0.774304i | \(0.281900\pi\) | |||||||
\(632\) | 9.68184 | − | 8.12402i | 0.385123 | − | 0.323156i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 6.29186 | + | 13.4929i | 0.249882 | + | 0.535873i | ||||
\(635\) | −5.40737 | + | 5.40737i | −0.214585 | + | 0.214585i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −68.8911 | + | 18.4593i | −2.72957 | + | 0.731385i | ||||
\(638\) | 9.60694 | + | 1.69396i | 0.380342 | + | 0.0670646i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.668982 | + | 0.386237i | 0.0264438 | + | 0.0152674i | ||||
\(641\) | 0.265891 | − | 0.316877i | 0.0105021 | − | 0.0125159i | −0.760768 | − | 0.649024i | \(-0.775177\pi\) |
0.771270 | + | 0.636508i | \(0.219622\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 18.6696 | + | 5.00251i | 0.736258 | + | 0.197280i | 0.607414 | − | 0.794385i | \(-0.292207\pi\) |
0.128844 | + | 0.991665i | \(0.458873\pi\) | |||||||
\(644\) | 26.3127 | + | 12.2698i | 1.03687 | + | 0.483498i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 11.3409 | − | 7.94099i | 0.446202 | − | 0.312434i | ||||
\(647\) | −23.9628 | − | 2.09647i | −0.942075 | − | 0.0824209i | −0.394240 | − | 0.919007i | \(-0.628992\pi\) |
−0.547835 | + | 0.836587i | \(0.684548\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 23.0478 | + | 32.9157i | 0.904706 | + | 1.29205i | ||||
\(650\) | −18.0745 | + | 6.57860i | −0.708942 | + | 0.258034i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.03759 | + | 11.3364i | −0.118961 | + | 0.443969i | ||||
\(653\) | −5.00399 | + | 7.14644i | −0.195821 | + | 0.279662i | −0.905040 | − | 0.425327i | \(-0.860159\pi\) |
0.709218 | + | 0.704989i | \(0.249048\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.68487 | + | 2.91827i | −0.0658332 | + | 0.114026i | ||||
\(656\) | −4.48854 | − | 7.77438i | −0.175248 | − | 0.303539i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −11.6859 | − | 43.6123i | −0.455563 | − | 1.70019i | ||||
\(659\) | −0.814198 | − | 0.296344i | −0.0317167 | − | 0.0115439i | 0.326113 | − | 0.945331i | \(-0.394261\pi\) |
−0.357830 | + | 0.933787i | \(0.616483\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −22.2246 | + | 10.3635i | −0.864435 | + | 0.403093i | −0.803681 | − | 0.595060i | \(-0.797128\pi\) |
−0.0607539 | + | 0.998153i | \(0.519350\pi\) | |||||||
\(662\) | −9.48088 | + | 1.67173i | −0.368485 | + | 0.0649738i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.667396 | − | 7.62837i | −0.0259000 | − | 0.296038i | ||||
\(665\) | 21.4859 | 0.833186 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −12.0960 | −0.468358 | ||||||||
\(668\) | 1.73092 | + | 19.7845i | 0.0669712 | + | 0.765485i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −9.51489 | + | 1.67773i | −0.367592 | + | 0.0648165i | ||||
\(671\) | 16.4994 | − | 7.69380i | 0.636953 | − | 0.297016i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.6601 | + | 5.33583i | 0.565104 | + | 0.205681i | 0.608745 | − | 0.793366i | \(-0.291673\pi\) |
−0.0436404 | + | 0.999047i | \(0.513896\pi\) | |||||||
\(674\) | 3.95790 | + | 14.7711i | 0.152453 | + | 0.568961i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.04069 | + | 5.26664i | 0.116950 | + | 0.202563i | ||||
\(677\) | −10.6755 | + | 18.4905i | −0.410293 | + | 0.710648i | −0.994922 | − | 0.100653i | \(-0.967907\pi\) |
0.584629 | + | 0.811301i | \(0.301240\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −6.60342 | + | 9.43066i | −0.253416 | + | 0.361916i | ||||
\(680\) | −0.480647 | + | 1.79380i | −0.0184320 | + | 0.0687891i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −14.2691 | + | 5.19353i | −0.546392 | + | 0.198870i | ||||
\(683\) | −25.2240 | − | 36.0237i | −0.965171 | − | 1.37841i | −0.925314 | − | 0.379202i | \(-0.876199\pi\) |
−0.0398570 | − | 0.999205i | \(-0.512690\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 11.1433 | + | 0.974912i | 0.425764 | + | 0.0372495i | ||||
\(686\) | 36.9023 | − | 25.8392i | 1.40894 | − | 0.986547i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 7.38892 | + | 3.44551i | 0.281700 | + | 0.131359i | ||||
\(689\) | −10.8427 | − | 2.90528i | −0.413073 | − | 0.110683i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 19.2621 | − | 22.9556i | 0.732763 | − | 0.873273i | −0.263041 | − | 0.964785i | \(-0.584725\pi\) |
0.995804 | + | 0.0915114i | \(0.0291698\pi\) | |||||||
\(692\) | −17.4712 | − | 10.0870i | −0.664156 | − | 0.383451i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 18.6617 | + | 3.29056i | 0.708388 | + | 0.124908i | ||||
\(695\) | 4.11374 | − | 1.10227i | 0.156043 | − | 0.0418116i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 15.2604 | − | 15.2604i | 0.578030 | − | 0.578030i | ||||
\(698\) | −3.45372 | − | 7.40653i | −0.130725 | − | 0.280341i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 16.2916 | − | 13.6703i | 0.615763 | − | 0.516687i | ||||
\(701\) | 30.5339 | − | 2.67137i | 1.15325 | − | 0.100896i | 0.505554 | − | 0.862795i | \(-0.331288\pi\) |
0.647697 | + | 0.761898i | \(0.275732\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 16.3211 | − | 30.9953i | 0.615561 | − | 1.16901i | ||||
\(704\) | − | 4.84786i | − | 0.182710i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 5.19512 | + | 6.19130i | 0.195521 | + | 0.233013i | ||||
\(707\) | 12.7336 | + | 72.2158i | 0.478896 | + | 2.71596i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.44016 | + | 5.44016i | 0.204309 | + | 0.204309i | 0.801843 | − | 0.597534i | \(-0.203853\pi\) |
−0.597534 | + | 0.801843i | \(0.703853\pi\) | |||||||
\(710\) | 2.80423 | − | 7.70455i | 0.105241 | − | 0.289147i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 1.63772 | − | 9.28797i | 0.0613761 | − | 0.348081i | ||||
\(713\) | 16.3061 | − | 9.41431i | 0.610667 | − | 0.352569i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −12.5312 | − | 10.5149i | −0.468640 | − | 0.393236i | ||||
\(716\) | −1.07987 | − | 0.756135i | −0.0403567 | − | 0.0282581i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.945719 | − | 2.02810i | 0.0352939 | − | 0.0756881i | ||||
\(719\) | −15.7141 | − | 43.1743i | −0.586039 | − | 1.61013i | −0.777678 | − | 0.628663i | \(-0.783603\pi\) |
0.191640 | − | 0.981465i | \(-0.438620\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 6.08013 | − | 69.4962i | 0.226436 | − | 2.58817i | ||||
\(722\) | 1.23452 | − | 14.1106i | 0.0459440 | − | 0.525142i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.839170 | + | 2.30560i | 0.0311875 | + | 0.0856869i | ||||
\(725\) | −3.74463 | + | 8.03038i | −0.139072 | + | 0.298241i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −25.5264 | − | 17.8738i | −0.946724 | − | 0.662903i | −0.00524871 | − | 0.999986i | \(-0.501671\pi\) |
−0.941475 | + | 0.337083i | \(0.890560\pi\) | |||||||
\(728\) | −16.1619 | − | 13.5614i | −0.598998 | − | 0.502619i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −3.99209 | + | 2.30484i | −0.147754 | + | 0.0853058i | ||||
\(731\) | −3.40347 | + | 19.3020i | −0.125882 | + | 0.713912i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −16.8426 | + | 46.2746i | −0.622094 | + | 1.70919i | 0.0797078 | + | 0.996818i | \(0.474601\pi\) |
−0.701802 | + | 0.712372i | \(0.747621\pi\) | |||||||
\(734\) | −8.82963 | − | 8.82963i | −0.325908 | − | 0.325908i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.04383 | + | 5.91983i | 0.0384759 | + | 0.218208i | ||||
\(737\) | 38.9750 | + | 46.4486i | 1.43566 | + | 1.71096i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 10.8537i | 0.399261i | 0.979871 | + | 0.199630i | \(0.0639741\pi\) | ||||
−0.979871 | + | 0.199630i | \(0.936026\pi\) | |||||||
\(740\) | 0.995391 | + | 4.59213i | 0.0365913 | + | 0.168810i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 12.3641 | − | 1.08172i | 0.453902 | − | 0.0397113i | ||||
\(743\) | 30.9949 | − | 26.0078i | 1.13709 | − | 0.954134i | 0.137753 | − | 0.990467i | \(-0.456012\pi\) |
0.999340 | + | 0.0363330i | \(0.0115677\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.58432 | + | 7.68659i | 0.131319 | + | 0.281615i | ||||
\(746\) | −5.30203 | + | 5.30203i | −0.194121 | + | 0.194121i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 11.2575 | − | 3.01643i | 0.411613 | − | 0.110291i | ||||
\(749\) | −48.7333 | − | 8.59299i | −1.78067 | − | 0.313981i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −22.2775 | − | 12.8619i | −0.812918 | − | 0.469338i | 0.0350504 | − | 0.999386i | \(-0.488841\pi\) |
−0.847968 | + | 0.530047i | \(0.822174\pi\) | |||||||
\(752\) | 6.00898 | − | 7.16122i | 0.219125 | − | 0.261143i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 8.49048 | + | 2.27502i | 0.309205 | + | 0.0828513i | ||||
\(755\) | −10.9775 | − | 5.11890i | −0.399513 | − | 0.186296i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 9.37743 | − | 6.56615i | 0.340828 | − | 0.238651i | −0.390613 | − | 0.920555i | \(-0.627737\pi\) |
0.731441 | + | 0.681904i | \(0.238848\pi\) | |||||||
\(758\) | 7.70053 | + | 0.673709i | 0.279696 | + | 0.0244702i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.55160 | + | 3.64406i | 0.0925561 | + | 0.132184i | ||||
\(761\) | −4.34813 | + | 1.58259i | −0.157620 | + | 0.0573689i | −0.419625 | − | 0.907698i | \(-0.637838\pi\) |
0.262005 | + | 0.965066i | \(0.415616\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −12.1485 | + | 45.3389i | −0.439806 | + | 1.64138i | ||||
\(764\) | −11.4591 | + | 16.3653i | −0.414576 | + | 0.592076i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.97273 | + | 5.14891i | −0.107409 | + | 0.186038i | ||||
\(767\) | 18.1035 | + | 31.3563i | 0.653681 | + | 1.13221i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10.0271 | − | 37.4216i | −0.361586 | − | 1.34946i | −0.871991 | − | 0.489522i | \(-0.837171\pi\) |
0.510405 | − | 0.859934i | \(-0.329495\pi\) | |||||||
\(770\) | 16.9962 | + | 6.18611i | 0.612501 | + | 0.222932i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −7.20025 | + | 3.35753i | −0.259143 | + | 0.120840i | ||||
\(773\) | −34.1798 | + | 6.02682i | −1.22936 | + | 0.216770i | −0.750351 | − | 0.661039i | \(-0.770116\pi\) |
−0.479011 | + | 0.877809i | \(0.659005\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.20208 | − | 13.7398i | −0.0431800 | − | 0.493550i | ||||
\(776\) | −2.38367 | −0.0855686 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −33.4206 | −1.19819 | ||||||||
\(779\) | −4.50576 | − | 51.5011i | −0.161436 | − | 1.84522i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −50.6732 | + | 8.93506i | −1.81323 | + | 0.319722i | ||||
\(782\) | −13.0972 | + | 6.10734i | −0.468356 | + | 0.218398i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 15.3426 | + | 5.58427i | 0.547952 | + | 0.199438i | ||||
\(785\) | −0.860174 | − | 3.21021i | −0.0307009 | − | 0.114577i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 21.0515 | + | 36.4622i | 0.750403 | + | 1.29974i | 0.947627 | + | 0.319378i | \(0.103474\pi\) |
−0.197224 | + | 0.980358i | \(0.563193\pi\) | |||||||
\(788\) | 7.81712 | − | 13.5396i | 0.278473 | − | 0.482330i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −5.59988 | + | 7.99746i | −0.199235 | + | 0.284537i | ||||
\(791\) | 3.38335 | − | 12.6268i | 0.120298 | − | 0.448958i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 15.4147 | − | 5.61048i | 0.547390 | − | 0.199234i | ||||
\(794\) | 4.19282 | + | 5.98797i | 0.148798 | + | 0.212505i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 9.80225 | + | 0.857586i | 0.347431 | + | 0.0303963i | ||||
\(797\) | 23.3259 | − | 16.3329i | 0.826245 | − | 0.578543i | −0.0821676 | − | 0.996619i | \(-0.526184\pi\) |
0.908412 | + | 0.418076i | \(0.137295\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 20.3683 | + | 9.49791i | 0.720580 | + | 0.336012i | ||||
\(800\) | 4.25325 | + | 1.13965i | 0.150375 | + | 0.0402928i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −2.59668 | + | 3.09461i | −0.0916921 | + | 0.109274i | ||||
\(803\) | 25.0534 | + | 14.4646i | 0.884115 | + | 0.510444i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −22.0864 | − | 3.89443i | −0.778444 | − | 0.137261i | ||||
\(806\) | −13.2163 | + | 3.54129i | −0.465524 | + | 0.124737i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −10.7358 | + | 10.7358i | −0.377683 | + | 0.377683i | ||||
\(809\) | −20.6278 | − | 44.2364i | −0.725234 | − | 1.55527i | −0.828103 | − | 0.560575i | \(-0.810580\pi\) |
0.102869 | − | 0.994695i | \(-0.467198\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −25.8419 | + | 21.6839i | −0.907432 | + | 0.761426i | −0.971629 | − | 0.236511i | \(-0.923996\pi\) |
0.0641963 | + | 0.997937i | \(0.479552\pi\) | |||||||
\(812\) | −9.68189 | + | 0.847056i | −0.339768 | + | 0.0297258i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 21.8347 | − | 19.8195i | 0.765305 | − | 0.694672i | ||||
\(815\) | − | 9.06601i | − | 0.317569i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 30.1793 | + | 35.9663i | 1.05584 | + | 1.25830i | ||||
\(818\) | −0.190938 | − | 1.08286i | −0.00667598 | − | 0.0378614i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.90348 | + | 4.90348i | 0.171237 | + | 0.171237i | ||||
\(821\) | 7.11745 | − | 19.5550i | 0.248401 | − | 0.682475i | −0.751345 | − | 0.659910i | \(-0.770594\pi\) |
0.999745 | − | 0.0225653i | \(-0.00718338\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 4.18380 | − | 23.7275i | 0.145838 | − | 0.827090i | −0.820852 | − | 0.571141i | \(-0.806501\pi\) |
0.966690 | − | 0.255949i | \(-0.0823879\pi\) | |||||||
\(824\) | 12.5088 | − | 7.22195i | 0.435764 | − | 0.251588i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −30.6673 | − | 25.7329i | −1.06705 | − | 0.895361i | ||||
\(827\) | 19.5528 | + | 13.6910i | 0.679916 | + | 0.476083i | 0.861807 | − | 0.507236i | \(-0.169333\pi\) |
−0.181891 | + | 0.983319i | \(0.558222\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −5.89904 | + | 12.6505i | −0.204882 | + | 0.439371i | −0.981720 | − | 0.190329i | \(-0.939045\pi\) |
0.776838 | + | 0.629700i | \(0.216822\pi\) | |||||||
\(830\) | 2.02313 | + | 5.55850i | 0.0702238 | + | 0.192938i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.380716 | − | 4.35160i | 0.0131989 | − | 0.150865i | ||||
\(833\) | −3.42103 | + | 39.1026i | −0.118532 | + | 1.35482i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −5.24706 | − | 14.4162i | −0.181582 | − | 0.498893i | ||||
\(836\) | 11.7987 | − | 25.3024i | 0.408067 | − | 0.875103i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −9.90569 | − | 6.93604i | −0.342187 | − | 0.239602i | ||||
\(839\) | −12.3861 | − | 10.3932i | −0.427616 | − | 0.358813i | 0.403435 | − | 0.915008i | \(-0.367816\pi\) |
−0.831051 | + | 0.556196i | \(0.812261\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −21.6080 | + | 12.4754i | −0.745105 | + | 0.430187i | ||||
\(842\) | −1.70218 | + | 9.65353i | −0.0586609 | + | 0.332682i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 3.89491 | − | 10.7012i | 0.134068 | − | 0.368350i | ||||
\(845\) | −3.32178 | − | 3.32178i | −0.114273 | − | 0.114273i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −10.4851 | − | 59.4639i | −0.360272 | − | 2.04320i | ||||
\(848\) | 1.65179 | + | 1.96853i | 0.0567227 | + | 0.0675995i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 10.5858i | 0.363090i | ||||||||
\(851\) | −22.3953 | + | 28.9034i | −0.767702 | + | 0.990794i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 5.37273 | − | 0.470053i | 0.183959 | − | 0.0160943i | 0.00519595 | − | 0.999987i | \(-0.498346\pi\) |
0.178763 | + | 0.983892i | \(0.442791\pi\) | |||||||
\(854\) | −13.8941 | + | 11.6585i | −0.475445 | + | 0.398946i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −4.33002 | − | 9.28576i | −0.147997 | − | 0.317381i | ||||
\(857\) | −25.0440 | + | 25.0440i | −0.855486 | + | 0.855486i | −0.990802 | − | 0.135317i | \(-0.956795\pi\) |
0.135317 | + | 0.990802i | \(0.456795\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −6.97412 | + | 1.86871i | −0.237954 | + | 0.0637596i | −0.375825 | − | 0.926691i | \(-0.622641\pi\) |
0.137871 | + | 0.990450i | \(0.455974\pi\) | |||||||
\(860\) | −6.20213 | − | 1.09360i | −0.211491 | − | 0.0372915i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −9.46659 | − | 5.46554i | −0.322433 | − | 0.186157i | ||||
\(863\) | −9.61826 | + | 11.4626i | −0.327409 | + | 0.390191i | −0.904489 | − | 0.426496i | \(-0.859748\pi\) |
0.577080 | + | 0.816688i | \(0.304192\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 15.0529 | + | 4.03341i | 0.511814 | + | 0.137140i | ||||
\(866\) | 34.8130 | + | 16.2335i | 1.18299 | + | 0.551638i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 12.3925 | − | 8.67730i | 0.420628 | − | 0.294527i | ||||
\(869\) | 61.0376 | + | 5.34010i | 2.07056 | + | 0.181151i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 31.3375 | + | 44.7546i | 1.06183 | + | 1.51645i | ||||
\(872\) | −9.13232 | + | 3.32389i | −0.309259 | + | 0.112561i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −8.95964 | + | 33.4378i | −0.303064 | + | 1.13105i | ||||
\(875\) | −20.1227 | + | 28.7382i | −0.680273 | + | 0.971530i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 27.2652 | − | 47.2246i | 0.920679 | − | 1.59466i | 0.122311 | − | 0.992492i | \(-0.460969\pi\) |
0.798367 | − | 0.602171i | \(-0.205697\pi\) | |||||||
\(878\) | −8.53176 | − | 14.7774i | −0.287933 | − | 0.498715i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.969237 | + | 3.61724i | 0.0326730 | + | 0.121937i | ||||
\(881\) | −40.1846 | − | 14.6260i | −1.35385 | − | 0.492763i | −0.439706 | − | 0.898142i | \(-0.644917\pi\) |
−0.914149 | + | 0.405379i | \(0.867140\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −23.2956 | + | 10.8629i | −0.783958 | + | 0.365566i | −0.773026 | − | 0.634375i | \(-0.781258\pi\) |
−0.0109323 | + | 0.999940i | \(0.503480\pi\) | |||||||
\(884\) | 10.3420 | − | 1.82357i | 0.347838 | − | 0.0613332i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −2.11598 | − | 24.1857i | −0.0710877 | − | 0.812536i | ||||
\(887\) | 16.5964 | 0.557251 | 0.278626 | − | 0.960400i | \(-0.410121\pi\) | ||||
0.278626 | + | 0.960400i | \(0.410121\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −47.8134 | −1.60361 | ||||||||
\(890\) | 0.634964 | + | 7.25767i | 0.0212840 | + | 0.243278i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −22.3714 | + | 3.94468i | −0.749049 | + | 0.132078i | ||||
\(893\) | 48.7917 | − | 22.7519i | 1.63275 | − | 0.761364i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.956925 | + | 0.348292i | 0.0319865 | + | 0.0116421i | ||||
\(896\) | 1.25005 | + | 4.66526i | 0.0417613 | + | 0.155855i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −8.98621 | − | 15.5646i | −0.299874 | − | 0.519396i | ||||
\(899\) | −3.15148 | + | 5.45852i | −0.105108 | + | 0.182052i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −3.54344 | + | 5.06056i | −0.118049 | + | 0.168592i | ||||
\(902\) | 11.2637 | − | 42.0367i | 0.375040 | − | 1.39967i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 2.54334 | − | 0.925699i | 0.0845901 | − | 0.0307883i | ||||
\(905\) | −1.08711 | − | 1.55255i | −0.0361367 | − | 0.0516086i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 19.6568 | + | 1.71975i | 0.652693 | + | 0.0571032i | 0.408693 | − | 0.912672i | \(-0.365985\pi\) |
0.244000 | + | 0.969775i | \(0.421540\pi\) | |||||||
\(908\) | 11.2722 | − | 7.89288i | 0.374081 | − | 0.261935i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 14.7706 | + | 6.88762i | 0.489639 | + | 0.228323i | ||||
\(911\) | 0.192021 | + | 0.0514519i | 0.00636194 | + | 0.00170468i | 0.261999 | − | 0.965068i | \(-0.415618\pi\) |
−0.255637 | + | 0.966773i | \(0.582285\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 23.8619 | − | 28.4375i | 0.789713 | − | 0.941144i | ||||
\(914\) | 0.423994 | + | 0.244793i | 0.0140245 | + | 0.00809704i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 5.07914 | + | 0.895590i | 0.167820 | + | 0.0295911i | ||||
\(917\) | −20.3511 | + | 5.45306i | −0.672052 | + | 0.180076i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 26.8943 | − | 26.8943i | 0.887163 | − | 0.887163i | −0.107087 | − | 0.994250i | \(-0.534152\pi\) |
0.994250 | + | 0.107087i | \(0.0341524\pi\) | |||||||
\(920\) | −1.96241 | − | 4.20840i | −0.0646987 | − | 0.138747i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −18.8423 | + | 15.8106i | −0.620538 | + | 0.520693i | ||||
\(923\) | −46.1877 | + | 4.04090i | −1.52029 | + | 0.133008i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 12.2555 | + | 23.8158i | 0.402960 | + | 0.783058i | ||||
\(926\) | 27.5984i | 0.906941i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.29345 | − | 1.54148i | −0.0424597 | − | 0.0506015i | ||||
\(929\) | −9.15549 | − | 51.9234i | −0.300382 | − | 1.70355i | −0.644483 | − | 0.764619i | \(-0.722927\pi\) |
0.344101 | − | 0.938933i | \(-0.388184\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 66.4869 | + | 66.4869i | 2.17902 | + | 2.17902i | ||||
\(932\) | 1.90337 | − | 5.22945i | 0.0623468 | − | 0.171296i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 6.42909 | − | 36.4612i | 0.210366 | − | 1.19305i | ||||
\(935\) | −7.79670 | + | 4.50143i | −0.254979 | + | 0.147212i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 38.8883 | + | 32.6312i | 1.27043 | + | 1.06601i | 0.994489 | + | 0.104838i | \(0.0334325\pi\) |
0.275937 | + | 0.961176i | \(0.411012\pi\) | |||||||
\(938\) | −49.4841 | − | 34.6491i | −1.61571 | − | 1.13133i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −3.05187 | + | 6.54475i | −0.0995409 | + | 0.213466i | ||||
\(941\) | −4.76293 | − | 13.0861i | −0.155267 | − | 0.426593i | 0.837531 | − | 0.546389i | \(-0.183998\pi\) |
−0.992799 | + | 0.119796i | \(0.961776\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.70315 | + | 53.7572i | −0.153156 | + | 1.75058i | ||||
\(944\) | 0.722411 | − | 8.25720i | 0.0235125 | − | 0.268749i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 13.5178 | + | 37.1399i | 0.439502 | + | 1.20752i | ||||
\(947\) | −15.2185 | + | 32.6362i | −0.494536 | + | 1.06053i | 0.487722 | + | 0.872999i | \(0.337828\pi\) |
−0.982258 | + | 0.187536i | \(0.939950\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 21.3528 | + | 14.9514i | 0.693143 | + | 0.485344i | ||||
\(950\) | 19.4253 | + | 16.2997i | 0.630239 | + | 0.528834i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −10.0556 | + | 5.80562i | −0.325905 | + | 0.188161i | ||||
\(953\) | 2.27881 | − | 12.9238i | 0.0738181 | − | 0.418643i | −0.925396 | − | 0.379002i | \(-0.876267\pi\) |
0.999214 | − | 0.0396412i | \(-0.0126215\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 5.27831 | − | 14.5020i | 0.170802 | − | 0.469275i | ||||
\(956\) | 13.1721 | + | 13.1721i | 0.426015 | + | 0.426015i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 5.78008 | + | 32.7805i | 0.186746 | + | 1.05909i | ||||
\(959\) | 44.9558 | + | 53.5762i | 1.45170 | + | 1.73007i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 21.1888i | 0.683510i | ||||||||
\(962\) | 21.1560 | − | 16.0759i | 0.682097 | − | 0.518307i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 2.27697 | − | 0.199209i | 0.0733363 | − | 0.00641610i | ||||
\(965\) | 4.70121 | − | 3.94479i | 0.151337 | − | 0.126987i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 13.0979 | + | 28.0886i | 0.421201 | + | 0.903269i | 0.996361 | + | 0.0852283i | \(0.0271620\pi\) |
−0.575160 | + | 0.818041i | \(0.695060\pi\) | |||||||
\(968\) | 8.84005 | − | 8.84005i | 0.284130 | − | 0.284130i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 1.77858 | − | 0.476569i | 0.0571067 | − | 0.0153017i | ||||
\(971\) | 39.1543 | + | 6.90396i | 1.25652 | + | 0.221558i | 0.761983 | − | 0.647598i | \(-0.224226\pi\) |
0.494538 | + | 0.869156i | \(0.335337\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 23.0607 | + | 13.3141i | 0.739292 | + | 0.426830i | ||||
\(974\) | −21.3306 | + | 25.4208i | −0.683476 | + | 0.814535i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −3.62733 | − | 0.971940i | −0.116108 | − | 0.0311110i | ||||
\(977\) | 14.5955 | + | 6.80601i | 0.466952 | + | 0.217743i | 0.641830 | − | 0.766847i | \(-0.278175\pi\) |
−0.174878 | + | 0.984590i | \(0.555953\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 37.4527 | − | 26.2247i | 1.19700 | − | 0.838145i | ||||
\(980\) | −12.5644 | − | 1.09924i | −0.401356 | − | 0.0351141i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 12.7853 | + | 18.2594i | 0.407996 | + | 0.582679i | ||||
\(983\) | 37.0776 | − | 13.4951i | 1.18259 | − | 0.430428i | 0.325475 | − | 0.945551i | \(-0.394476\pi\) |
0.857116 | + | 0.515123i | \(0.172254\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −3.12577 | + | 11.6655i | −0.0995952 | + | 0.371695i | ||||
\(986\) | 2.77473 | − | 3.96273i | 0.0883655 | − | 0.126199i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 12.5780 | − | 21.7857i | 0.400160 | − | 0.693097i | ||||
\(989\) | −24.5038 | − | 42.4418i | −0.779174 | − | 1.34957i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −3.83494 | − | 14.3122i | −0.121821 | − | 0.454641i | 0.877886 | − | 0.478870i | \(-0.158954\pi\) |
−0.999706 | + | 0.0242291i | \(0.992287\pi\) | |||||||
\(992\) | 2.94338 | + | 1.07130i | 0.0934525 | + | 0.0340139i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 46.4607 | − | 21.6650i | 1.47364 | − | 0.687171i | ||||
\(995\) | −7.48543 | + | 1.31988i | −0.237304 | + | 0.0418431i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1.31057 | − | 14.9799i | −0.0415061 | − | 0.474417i | −0.988294 | − | 0.152559i | \(-0.951248\pi\) |
0.946788 | − | 0.321857i | \(-0.104307\pi\) | |||||||
\(998\) | 33.6431 | 1.06496 | ||||||||
\(999\) | 0 | 0 |
(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 | 666.2.bs.b.611.3 | yes | 96 | |
3.2 | odd | 2 | inner | 666.2.bs.b.611.6 | yes | 96 | |
37.2 | odd | 36 | inner | 666.2.bs.b.557.6 | yes | 96 | |
111.2 | even | 36 | inner | 666.2.bs.b.557.3 | ✓ | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
666.2.bs.b.557.3 | ✓ | 96 | 111.2 | even | 36 | inner | |
666.2.bs.b.557.6 | yes | 96 | 37.2 | odd | 36 | inner | |
666.2.bs.b.611.3 | yes | 96 | 1.1 | even | 1 | trivial | |
666.2.bs.b.611.6 | yes | 96 | 3.2 | odd | 2 | inner |