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: | \(72\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 431.2 | ||
Character | \(\chi\) | \(=\) | 666.431 |
Dual form | 666.2.bs.a.17.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/666\mathbb{Z}\right)^\times\).
\(n\) | \(371\) | \(631\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{29}{36}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.573576 | − | 0.819152i | −0.405580 | − | 0.579228i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.342020 | + | 0.939693i | −0.171010 | + | 0.469846i | ||||
\(5\) | −0.718088 | − | 0.0628246i | −0.321139 | − | 0.0280960i | −0.0745532 | − | 0.997217i | \(-0.523753\pi\) |
−0.246586 | + | 0.969121i | \(0.579309\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.07081 | + | 1.73762i | −0.782692 | + | 0.656757i | −0.943925 | − | 0.330160i | \(-0.892897\pi\) |
0.161233 | + | 0.986916i | \(0.448453\pi\) | |||||||
\(8\) | 0.965926 | − | 0.258819i | 0.341506 | − | 0.0915064i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.360415 | + | 0.624258i | 0.113973 | + | 0.197408i | ||||
\(11\) | 2.14666 | − | 3.71813i | 0.647243 | − | 1.12106i | −0.336536 | − | 0.941671i | \(-0.609255\pi\) |
0.983779 | − | 0.179387i | \(-0.0574113\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.0350998 | − | 0.0163673i | 0.00973493 | − | 0.00453947i | −0.417745 | − | 0.908564i | \(-0.637179\pi\) |
0.427480 | + | 0.904025i | \(0.359402\pi\) | |||||||
\(14\) | 2.61114 | + | 0.699652i | 0.697856 | + | 0.186990i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.766044 | − | 0.642788i | −0.191511 | − | 0.160697i | ||||
\(17\) | −1.26227 | − | 0.588607i | −0.306146 | − | 0.142758i | 0.263474 | − | 0.964667i | \(-0.415132\pi\) |
−0.569620 | + | 0.821908i | \(0.692910\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.15999 | − | 0.812232i | −0.266119 | − | 0.186339i | 0.432899 | − | 0.901442i | \(-0.357491\pi\) |
−0.699018 | + | 0.715104i | \(0.746380\pi\) | |||||||
\(20\) | 0.304636 | − | 0.653295i | 0.0681188 | − | 0.146081i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −4.27699 | + | 0.374188i | −0.911856 | + | 0.0797771i | ||||
\(23\) | 1.21793 | − | 4.54537i | 0.253955 | − | 0.947775i | −0.714713 | − | 0.699418i | \(-0.753443\pi\) |
0.968669 | − | 0.248357i | \(-0.0798906\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.41234 | − | 0.778014i | −0.882467 | − | 0.155603i | ||||
\(26\) | −0.0335397 | − | 0.0193642i | −0.00657768 | − | 0.00379763i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.924566 | − | 2.54022i | −0.174726 | − | 0.480057i | ||||
\(29\) | −2.18568 | − | 8.15709i | −0.405871 | − | 1.51473i | −0.802443 | − | 0.596729i | \(-0.796467\pi\) |
0.396571 | − | 0.918004i | \(-0.370200\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.19999 | − | 3.19999i | −0.574735 | − | 0.574735i | 0.358713 | − | 0.933448i | \(-0.383216\pi\) |
−0.933448 | + | 0.358713i | \(0.883216\pi\) | |||||||
\(32\) | −0.0871557 | + | 0.996195i | −0.0154071 | + | 0.176104i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.241851 | + | 1.37160i | 0.0414771 | + | 0.235228i | ||||
\(35\) | 1.59619 | − | 1.11766i | 0.269805 | − | 0.188920i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.02223 | − | 0.856003i | 0.990049 | − | 0.140726i | ||||
\(38\) | 1.41608i | 0.229719i | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.709880 | + | 0.125171i | −0.112242 | + | 0.0197913i | ||||
\(41\) | −8.42883 | − | 3.06784i | −1.31636 | − | 0.479117i | −0.414071 | − | 0.910244i | \(-0.635894\pi\) |
−0.902291 | + | 0.431128i | \(0.858116\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.673546 | + | 0.673546i | −0.102715 | + | 0.102715i | −0.756597 | − | 0.653882i | \(-0.773139\pi\) |
0.653882 | + | 0.756597i | \(0.273139\pi\) | |||||||
\(44\) | 2.75969 | + | 3.28888i | 0.416040 | + | 0.495817i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.42192 | + | 1.60945i | −0.651977 | + | 0.237300i | ||||
\(47\) | 2.04440 | − | 1.18033i | 0.298206 | − | 0.172169i | −0.343431 | − | 0.939178i | \(-0.611589\pi\) |
0.641637 | + | 0.767009i | \(0.278256\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.0534066 | − | 0.302884i | 0.00762951 | − | 0.0432691i | ||||
\(50\) | 1.89350 | + | 4.06062i | 0.267781 | + | 0.574259i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.00337540 | + | 0.0385810i | 0.000468083 | + | 0.00535022i | ||||
\(53\) | −0.385452 | + | 0.459364i | −0.0529459 | + | 0.0630985i | −0.791867 | − | 0.610693i | \(-0.790891\pi\) |
0.738922 | + | 0.673791i | \(0.235335\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.77508 | + | 2.53508i | −0.239352 | + | 0.341830i | ||||
\(56\) | −1.55052 | + | 2.21437i | −0.207197 | + | 0.295908i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.42824 | + | 6.46912i | −0.712762 | + | 0.849437i | ||||
\(59\) | 0.273822 | + | 3.12980i | 0.0356486 | + | 0.407465i | 0.992964 | + | 0.118419i | \(0.0377826\pi\) |
−0.957315 | + | 0.289046i | \(0.906662\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.73693 | − | 10.1584i | −0.606501 | − | 1.30065i | −0.934498 | − | 0.355967i | \(-0.884151\pi\) |
0.327997 | − | 0.944679i | \(-0.393626\pi\) | |||||||
\(62\) | −0.785839 | + | 4.45671i | −0.0998016 | + | 0.566003i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.866025 | − | 0.500000i | 0.108253 | − | 0.0625000i | ||||
\(65\) | −0.0262330 | + | 0.00954803i | −0.00325380 | + | 0.00118429i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.48130 | + | 6.53235i | 0.669647 | + | 0.798054i | 0.988736 | − | 0.149671i | \(-0.0478213\pi\) |
−0.319089 | + | 0.947725i | \(0.603377\pi\) | |||||||
\(68\) | 0.984832 | − | 0.984832i | 0.119428 | − | 0.119428i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.83107 | − | 0.666456i | −0.218855 | − | 0.0796567i | ||||
\(71\) | 0.759603 | − | 0.133939i | 0.0901483 | − | 0.0158956i | −0.128392 | − | 0.991723i | \(-0.540982\pi\) |
0.218540 | + | 0.975828i | \(0.429870\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 9.36628i | − | 1.09624i | −0.836400 | − | 0.548120i | \(-0.815344\pi\) | ||
0.836400 | − | 0.548120i | \(-0.184656\pi\) | |||||||
\(74\) | −4.15541 | − | 4.44214i | −0.483056 | − | 0.516388i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.15999 | − | 0.812232i | 0.133060 | − | 0.0931694i | ||||
\(77\) | 2.01535 | + | 11.4296i | 0.229670 | + | 1.30252i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.124024 | + | 1.41760i | −0.0139538 | + | 0.159493i | −0.999975 | − | 0.00712971i | \(-0.997731\pi\) |
0.986021 | + | 0.166622i | \(0.0532861\pi\) | |||||||
\(80\) | 0.509704 | + | 0.509704i | 0.0569867 | + | 0.0569867i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.32155 | + | 8.66414i | 0.256372 | + | 0.956794i | ||||
\(83\) | −2.84370 | − | 7.81299i | −0.312136 | − | 0.857588i | −0.992225 | − | 0.124458i | \(-0.960281\pi\) |
0.680089 | − | 0.733130i | \(-0.261941\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.869443 | + | 0.501973i | 0.0943044 | + | 0.0544467i | ||||
\(86\) | 0.938067 | + | 0.165407i | 0.101154 | + | 0.0178362i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.11119 | − | 4.14703i | 0.118454 | − | 0.442075i | ||||
\(89\) | −10.6799 | + | 0.934373i | −1.13207 | + | 0.0990433i | −0.637755 | − | 0.770239i | \(-0.720137\pi\) |
−0.494315 | + | 0.869283i | \(0.664581\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.0442449 | + | 0.0948835i | −0.00463813 | + | 0.00994649i | ||||
\(92\) | 3.85469 | + | 2.69909i | 0.401880 | + | 0.281399i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.13949 | − | 0.997660i | −0.220671 | − | 0.102901i | ||||
\(95\) | 0.781945 | + | 0.656130i | 0.0802258 | + | 0.0673175i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.87161 | − | 0.769446i | −0.291568 | − | 0.0781254i | 0.110070 | − | 0.993924i | \(-0.464892\pi\) |
−0.401638 | + | 0.915798i | \(0.631559\pi\) | |||||||
\(98\) | −0.278741 | + | 0.129979i | −0.0281570 | + | 0.0131298i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.24020 | − | 3.88014i | 0.224020 | − | 0.388014i | ||||
\(101\) | −3.35666 | − | 5.81391i | −0.334000 | − | 0.578505i | 0.649292 | − | 0.760539i | \(-0.275065\pi\) |
−0.983292 | + | 0.182034i | \(0.941732\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 9.58937 | − | 2.56946i | 0.944869 | − | 0.253177i | 0.246685 | − | 0.969096i | \(-0.420659\pi\) |
0.698183 | + | 0.715919i | \(0.253992\pi\) | |||||||
\(104\) | 0.0296676 | − | 0.0248941i | 0.00290915 | − | 0.00244107i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.597375 | + | 0.0522635i | 0.0580222 | + | 0.00507628i | ||||
\(107\) | −3.18517 | + | 8.75119i | −0.307922 | + | 0.846010i | 0.685139 | + | 0.728412i | \(0.259741\pi\) |
−0.993061 | + | 0.117597i | \(0.962481\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.93207 | + | 8.47187i | 0.568189 | + | 0.811458i | 0.995708 | − | 0.0925480i | \(-0.0295012\pi\) |
−0.427519 | + | 0.904006i | \(0.640612\pi\) | |||||||
\(110\) | 3.09476 | 0.295074 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.70325 | 0.255433 | ||||||||
\(113\) | 1.82365 | + | 2.60444i | 0.171554 | + | 0.245005i | 0.895717 | − | 0.444624i | \(-0.146663\pi\) |
−0.724163 | + | 0.689629i | \(0.757774\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.16014 | + | 3.18746i | −0.108184 | + | 0.297232i | ||||
\(116\) | 8.41270 | + | 0.736016i | 0.781100 | + | 0.0683374i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.40672 | − | 2.01948i | 0.221557 | − | 0.185908i | ||||
\(119\) | 3.63670 | − | 0.974450i | 0.333375 | − | 0.0893277i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.71631 | − | 6.43684i | −0.337846 | − | 0.585167i | ||||
\(122\) | −5.60426 | + | 9.70686i | −0.507386 | + | 0.878818i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 4.10147 | − | 1.91254i | 0.368322 | − | 0.171752i | ||||
\(125\) | 6.60091 | + | 1.76871i | 0.590404 | + | 0.158198i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 13.2744 | + | 11.1386i | 1.17792 | + | 0.988389i | 0.999991 | + | 0.00434519i | \(0.00138312\pi\) |
0.177926 | + | 0.984044i | \(0.443061\pi\) | |||||||
\(128\) | −0.906308 | − | 0.422618i | −0.0801070 | − | 0.0373545i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.0228679 | + | 0.0160123i | 0.00200565 | + | 0.00140437i | ||||
\(131\) | −7.18594 | + | 15.4103i | −0.627838 | + | 1.34640i | 0.292870 | + | 0.956152i | \(0.405390\pi\) |
−0.920708 | + | 0.390252i | \(0.872388\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.81346 | − | 0.333634i | 0.330669 | − | 0.0289298i | ||||
\(134\) | 2.20705 | − | 8.23682i | 0.190660 | − | 0.711553i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.37160 | − | 0.241851i | −0.117614 | − | 0.0207385i | ||||
\(137\) | −7.25301 | − | 4.18752i | −0.619666 | − | 0.357764i | 0.157073 | − | 0.987587i | \(-0.449794\pi\) |
−0.776739 | + | 0.629823i | \(0.783128\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.79536 | − | 7.68019i | −0.237099 | − | 0.651425i | −0.999988 | − | 0.00489532i | \(-0.998442\pi\) |
0.762889 | − | 0.646530i | \(-0.223780\pi\) | |||||||
\(140\) | 0.504331 | + | 1.88219i | 0.0426238 | + | 0.159074i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.545406 | − | 0.545406i | −0.0457695 | − | 0.0457695i | ||||
\(143\) | 0.0144917 | − | 0.165641i | 0.00121185 | − | 0.0138516i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.05705 | + | 5.99482i | 0.0877831 | + | 0.497843i | ||||
\(146\) | −7.67241 | + | 5.37228i | −0.634973 | + | 0.444613i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.25534 | + | 5.95182i | −0.103189 | + | 0.489236i | ||||
\(149\) | 10.1731i | 0.833417i | 0.909040 | + | 0.416708i | \(0.136816\pi\) | ||||
−0.909040 | + | 0.416708i | \(0.863184\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 16.5269 | − | 2.91414i | 1.34494 | − | 0.237149i | 0.545609 | − | 0.838040i | \(-0.316298\pi\) |
0.799332 | + | 0.600890i | \(0.205187\pi\) | |||||||
\(152\) | −1.33068 | − | 0.484329i | −0.107933 | − | 0.0392843i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 8.20663 | − | 8.20663i | 0.661309 | − | 0.661309i | ||||
\(155\) | 2.09684 | + | 2.49891i | 0.168422 | + | 0.200717i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 22.5615 | − | 8.21170i | 1.80060 | − | 0.655365i | 0.802310 | − | 0.596907i | \(-0.203604\pi\) |
0.998290 | − | 0.0584573i | \(-0.0186182\pi\) | |||||||
\(158\) | 1.23237 | − | 0.711508i | 0.0980420 | − | 0.0566046i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.125171 | − | 0.709880i | 0.00989564 | − | 0.0561209i | ||||
\(161\) | 5.37600 | + | 11.5289i | 0.423689 | + | 0.908603i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.660979 | + | 7.55502i | 0.0517718 | + | 0.591755i | 0.977127 | + | 0.212655i | \(0.0682109\pi\) |
−0.925356 | + | 0.379100i | \(0.876234\pi\) | |||||||
\(164\) | 5.76566 | − | 6.87125i | 0.450222 | − | 0.536554i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.76895 | + | 6.81077i | −0.370142 | + | 0.528618i | ||||
\(167\) | 12.3723 | − | 17.6695i | 0.957398 | − | 1.36731i | 0.0274467 | − | 0.999623i | \(-0.491262\pi\) |
0.929951 | − | 0.367683i | \(-0.119849\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.35527 | + | 9.95743i | −0.642713 | + | 0.765956i | ||||
\(170\) | −0.0874997 | − | 1.00013i | −0.00671092 | − | 0.0767062i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.402560 | − | 0.863293i | −0.0306949 | − | 0.0658255i | ||||
\(173\) | 0.812529 | − | 4.60808i | 0.0617755 | − | 0.350346i | −0.938215 | − | 0.346052i | \(-0.887522\pi\) |
0.999991 | − | 0.00429404i | \(-0.00136684\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 10.4890 | − | 6.05582i | 0.792893 | − | 0.457777i | ||||
\(176\) | −4.03440 | + | 1.46840i | −0.304105 | + | 0.110685i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 6.89115 | + | 8.21255i | 0.516514 | + | 0.615557i | ||||
\(179\) | 18.2887 | − | 18.2887i | 1.36696 | − | 1.36696i | 0.502225 | − | 0.864737i | \(-0.332515\pi\) |
0.864737 | − | 0.502225i | \(-0.167485\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.37927 | − | 0.865985i | −0.176850 | − | 0.0643681i | 0.252078 | − | 0.967707i | \(-0.418886\pi\) |
−0.428928 | + | 0.903339i | \(0.641108\pi\) | |||||||
\(182\) | 0.103102 | − | 0.0181796i | 0.00764242 | − | 0.00134756i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | − | 4.70571i | − | 0.346910i | ||||||
\(185\) | −4.37827 | + | 0.236342i | −0.321897 | + | 0.0173762i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −4.89819 | + | 3.42975i | −0.358191 | + | 0.250808i | ||||
\(188\) | 0.409925 | + | 2.32480i | 0.0298969 | + | 0.169553i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.0889648 | − | 1.01687i | 0.00645418 | − | 0.0737717i | ||||
\(191\) | −0.163885 | − | 0.163885i | −0.0118583 | − | 0.0118583i | 0.701153 | − | 0.713011i | \(-0.252669\pi\) |
−0.713011 | + | 0.701153i | \(0.752669\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.08217 | − | 15.2349i | −0.293841 | − | 1.09663i | −0.942133 | − | 0.335239i | \(-0.891183\pi\) |
0.648292 | − | 0.761392i | \(-0.275484\pi\) | |||||||
\(194\) | 1.01680 | + | 2.79362i | 0.0730017 | + | 0.200571i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.266351 | + | 0.153778i | 0.0190251 | + | 0.0109841i | ||||
\(197\) | −0.409273 | − | 0.0721659i | −0.0291595 | − | 0.00514161i | 0.159049 | − | 0.987271i | \(-0.449157\pi\) |
−0.188209 | + | 0.982129i | \(0.560268\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.265434 | + | 0.990613i | −0.0188161 | + | 0.0702227i | −0.974696 | − | 0.223537i | \(-0.928240\pi\) |
0.955879 | + | 0.293759i | \(0.0949064\pi\) | |||||||
\(200\) | −4.46335 | + | 0.390493i | −0.315607 | + | 0.0276120i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.83717 | + | 6.08434i | −0.199623 | + | 0.428092i | ||||
\(203\) | 18.7000 | + | 13.0939i | 1.31248 | + | 0.919011i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.85991 | + | 2.73252i | 0.409274 | + | 0.190847i | ||||
\(206\) | −7.60502 | − | 6.38137i | −0.529867 | − | 0.444611i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.0374087 | − | 0.0100236i | −0.00259383 | − | 0.000695014i | ||||
\(209\) | −5.51008 | + | 2.56939i | −0.381140 | + | 0.177729i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.73085 | + | 9.92613i | −0.394528 | + | 0.683343i | −0.993041 | − | 0.117771i | \(-0.962425\pi\) |
0.598513 | + | 0.801113i | \(0.295759\pi\) | |||||||
\(212\) | −0.299828 | − | 0.519318i | −0.0205923 | − | 0.0356669i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 8.99550 | − | 2.41034i | 0.614920 | − | 0.164767i | ||||
\(215\) | 0.525981 | − | 0.441350i | 0.0358716 | − | 0.0300998i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 12.1869 | + | 1.06622i | 0.827301 | + | 0.0723795i | ||||
\(218\) | 3.53726 | − | 9.71854i | 0.239573 | − | 0.658222i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.77508 | − | 2.53508i | −0.119676 | − | 0.170915i | ||||
\(221\) | −0.0539394 | −0.00362836 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −3.10179 | −0.207711 | −0.103856 | − | 0.994592i | \(-0.533118\pi\) | ||||
−0.103856 | + | 0.994592i | \(0.533118\pi\) | |||||||
\(224\) | −1.55052 | − | 2.21437i | −0.103598 | − | 0.147954i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.08743 | − | 2.98769i | 0.0723348 | − | 0.198738i | ||||
\(227\) | −4.72486 | − | 0.413372i | −0.313600 | − | 0.0274365i | −0.0707307 | − | 0.997495i | \(-0.522533\pi\) |
−0.242869 | + | 0.970059i | \(0.578089\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −19.3753 | + | 16.2578i | −1.28035 | + | 1.07434i | −0.287158 | + | 0.957883i | \(0.592711\pi\) |
−0.993195 | + | 0.116461i | \(0.962845\pi\) | |||||||
\(230\) | 3.27644 | − | 0.877920i | 0.216042 | − | 0.0578883i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.22242 | − | 7.31344i | −0.277215 | − | 0.480151i | ||||
\(233\) | −5.20016 | + | 9.00695i | −0.340674 | + | 0.590065i | −0.984558 | − | 0.175058i | \(-0.943989\pi\) |
0.643884 | + | 0.765123i | \(0.277322\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.54221 | + | 0.719144i | −0.100603 | + | 0.0469118i | ||||
\(236\) | −3.03470 | − | 0.813146i | −0.197542 | − | 0.0529313i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.88415 | − | 2.42009i | −0.186951 | − | 0.156871i | ||||
\(239\) | 11.3149 | + | 5.27620i | 0.731897 | + | 0.341289i | 0.752584 | − | 0.658497i | \(-0.228807\pi\) |
−0.0206863 | + | 0.999786i | \(0.506585\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.21834 | − | 5.05434i | −0.464974 | − | 0.325578i | 0.317503 | − | 0.948257i | \(-0.397155\pi\) |
−0.782478 | + | 0.622679i | \(0.786044\pi\) | |||||||
\(242\) | −3.14116 | + | 6.73624i | −0.201921 | + | 0.433022i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 11.1659 | − | 0.976887i | 0.714821 | − | 0.0625388i | ||||
\(245\) | −0.0573792 | + | 0.214142i | −0.00366582 | + | 0.0136810i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.0540094 | − | 0.00952331i | −0.00343653 | − | 0.000605954i | ||||
\(248\) | −3.91917 | − | 2.26273i | −0.248867 | − | 0.143684i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2.33729 | − | 6.42164i | −0.147823 | − | 0.406140i | ||||
\(251\) | 2.12374 | + | 7.92590i | 0.134049 | + | 0.500279i | 1.00000 | 0.000149336i | \(4.75350e-5\pi\) | |
−0.865951 | + | 0.500129i | \(0.833286\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −14.2858 | − | 14.2858i | −0.898139 | − | 0.898139i | ||||
\(254\) | 1.51028 | − | 17.2626i | 0.0947636 | − | 1.08315i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −6.57242 | + | 4.60206i | −0.409976 | + | 0.287068i | −0.760315 | − | 0.649555i | \(-0.774955\pi\) |
0.350339 | + | 0.936623i | \(0.386067\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −10.9835 | + | 12.2369i | −0.682481 | + | 0.760366i | ||||
\(260\) | − | 0.0279166i | − | 0.00173131i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 16.7451 | − | 2.95261i | 1.03451 | − | 0.182413i | ||||
\(263\) | −18.2632 | − | 6.64726i | −1.12616 | − | 0.409888i | −0.289261 | − | 0.957250i | \(-0.593410\pi\) |
−0.836896 | + | 0.547363i | \(0.815632\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.305648 | − | 0.305648i | 0.0187758 | − | 0.0187758i | ||||
\(266\) | −2.46061 | − | 2.93244i | −0.150870 | − | 0.179799i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −8.01312 | + | 2.91654i | −0.489479 | + | 0.178156i | ||||
\(269\) | −17.0791 | + | 9.86062i | −1.04133 | + | 0.601212i | −0.920210 | − | 0.391425i | \(-0.871982\pi\) |
−0.121121 | + | 0.992638i | \(0.538649\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.40413 | + | 24.9771i | −0.267532 | + | 1.51725i | 0.494195 | + | 0.869351i | \(0.335463\pi\) |
−0.761727 | + | 0.647898i | \(0.775648\pi\) | |||||||
\(272\) | 0.588607 | + | 1.26227i | 0.0356895 | + | 0.0765365i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.729934 | + | 8.34318i | 0.0440969 | + | 0.504030i | ||||
\(275\) | −12.3645 | + | 14.7355i | −0.745610 | + | 0.888583i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.96790 | + | 5.66675i | −0.238408 | + | 0.340482i | −0.920471 | − | 0.390812i | \(-0.872194\pi\) |
0.682063 | + | 0.731294i | \(0.261083\pi\) | |||||||
\(278\) | −4.68789 | + | 6.69500i | −0.281161 | + | 0.401540i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.25253 | − | 1.49270i | 0.0748528 | − | 0.0892061i | ||||
\(281\) | −0.564702 | − | 6.45458i | −0.0336873 | − | 0.385048i | −0.994258 | − | 0.107011i | \(-0.965872\pi\) |
0.960571 | − | 0.278037i | \(-0.0896836\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.1227 | − | 21.7081i | −0.601729 | − | 1.29041i | −0.937341 | − | 0.348413i | \(-0.886721\pi\) |
0.335612 | − | 0.942000i | \(-0.391057\pi\) | |||||||
\(284\) | −0.133939 | + | 0.759603i | −0.00794779 | + | 0.0450742i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.143997 | + | 0.0831366i | −0.00851471 | + | 0.00491597i | ||||
\(287\) | 22.7852 | − | 8.29315i | 1.34497 | − | 0.489529i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −9.68052 | − | 11.5368i | −0.569442 | − | 0.678635i | ||||
\(290\) | 4.30437 | − | 4.30437i | 0.252761 | − | 0.252761i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 8.80143 | + | 3.20346i | 0.515064 | + | 0.187468i | ||||
\(293\) | 13.7242 | − | 2.41994i | 0.801775 | − | 0.141375i | 0.242278 | − | 0.970207i | \(-0.422105\pi\) |
0.559497 | + | 0.828832i | \(0.310994\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 2.26467i | − | 0.131854i | ||||||
\(296\) | 5.59548 | − | 2.38550i | 0.325231 | − | 0.138655i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 8.33335 | − | 5.83508i | 0.482738 | − | 0.338017i | ||||
\(299\) | −0.0316464 | − | 0.179476i | −0.00183016 | − | 0.0103793i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.224421 | − | 2.56515i | 0.0129354 | − | 0.147853i | ||||
\(302\) | −11.8666 | − | 11.8666i | −0.682844 | − | 0.682844i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.366509 | + | 1.36783i | 0.0210207 | + | 0.0784505i | ||||
\(305\) | 2.76333 | + | 7.59220i | 0.158228 | + | 0.434728i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 14.6235 | + | 8.44288i | 0.834607 | + | 0.481860i | 0.855427 | − | 0.517923i | \(-0.173295\pi\) |
−0.0208206 | + | 0.999783i | \(0.506628\pi\) | |||||||
\(308\) | −11.4296 | − | 2.01535i | −0.651262 | − | 0.114835i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.844293 | − | 3.15094i | 0.0479526 | − | 0.178962i | ||||
\(311\) | 8.86433 | − | 0.775528i | 0.502650 | − | 0.0439762i | 0.166988 | − | 0.985959i | \(-0.446596\pi\) |
0.335662 | + | 0.941983i | \(0.391040\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −8.21984 | + | 17.6275i | −0.464613 | + | 0.996365i | 0.524799 | + | 0.851226i | \(0.324141\pi\) |
−0.989411 | + | 0.145139i | \(0.953637\pi\) | |||||||
\(314\) | −19.6673 | − | 13.7712i | −1.10989 | − | 0.777155i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.28969 | − | 0.601393i | −0.0725508 | − | 0.0338310i | ||||
\(317\) | −17.2721 | − | 14.4930i | −0.970100 | − | 0.814011i | 0.0124662 | − | 0.999922i | \(-0.496032\pi\) |
−0.982566 | + | 0.185912i | \(0.940476\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −35.0210 | − | 9.38385i | −1.96080 | − | 0.525395i | ||||
\(320\) | −0.653295 | + | 0.304636i | −0.0365203 | + | 0.0170297i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 6.36036 | − | 11.0165i | 0.354449 | − | 0.613923i | ||||
\(323\) | 0.986134 | + | 1.70803i | 0.0548700 | + | 0.0950376i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.167606 | + | 0.0449099i | −0.00929711 | + | 0.00249115i | ||||
\(326\) | 5.80959 | − | 4.87482i | 0.321763 | − | 0.269992i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −8.93564 | − | 0.781767i | −0.493388 | − | 0.0431659i | ||||
\(329\) | −2.18259 | + | 5.99661i | −0.120330 | + | 0.330604i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.31602 | − | 6.16391i | −0.237230 | − | 0.338799i | 0.682830 | − | 0.730577i | \(-0.260749\pi\) |
−0.920060 | + | 0.391778i | \(0.871860\pi\) | |||||||
\(332\) | 8.31441 | 0.456313 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −21.5705 | −1.18028 | ||||||||
\(335\) | −3.52566 | − | 5.03517i | −0.192627 | − | 0.275100i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.76826 | + | 10.3532i | −0.205270 | + | 0.563976i | −0.999020 | − | 0.0442695i | \(-0.985904\pi\) |
0.793749 | + | 0.608245i | \(0.208126\pi\) | |||||||
\(338\) | 12.9490 | + | 1.13289i | 0.704335 | + | 0.0616213i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.769068 | + | 0.645324i | −0.0417086 | + | 0.0349976i | ||||
\(341\) | −18.7672 | + | 5.02867i | −1.01630 | + | 0.272318i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.04567 | − | 15.6676i | −0.488420 | − | 0.845969i | ||||
\(344\) | −0.476269 | + | 0.824922i | −0.0256787 | + | 0.0444768i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −4.24077 | + | 1.97750i | −0.227985 | + | 0.106311i | ||||
\(347\) | 19.7758 | + | 5.29892i | 1.06162 | + | 0.284461i | 0.747047 | − | 0.664772i | \(-0.231471\pi\) |
0.314576 | + | 0.949232i | \(0.398138\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −20.4583 | − | 17.1665i | −1.09511 | − | 0.918903i | −0.0980196 | − | 0.995184i | \(-0.531251\pi\) |
−0.997086 | + | 0.0762816i | \(0.975695\pi\) | |||||||
\(350\) | −10.9769 | − | 5.11860i | −0.586739 | − | 0.273601i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 3.51688 | + | 2.46255i | 0.187451 | + | 0.131254i | ||||
\(353\) | 1.23427 | − | 2.64689i | 0.0656933 | − | 0.140880i | −0.870720 | − | 0.491780i | \(-0.836347\pi\) |
0.936413 | + | 0.350900i | \(0.114124\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.553877 | + | 0.0484579i | −0.0293967 | + | 0.00257188i | ||||
\(356\) | 2.77473 | − | 10.3554i | 0.147060 | − | 0.548837i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −25.4712 | − | 4.49126i | −1.34619 | − | 0.237370i | ||||
\(359\) | 26.8112 | + | 15.4795i | 1.41504 | + | 0.816975i | 0.995858 | − | 0.0909267i | \(-0.0289829\pi\) |
0.419184 | + | 0.907901i | \(0.362316\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.81253 | − | 15.9698i | −0.305923 | − | 0.840516i | ||||
\(362\) | 0.655322 | + | 2.44570i | 0.0344430 | + | 0.128543i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.0740287 | − | 0.0740287i | −0.00388016 | − | 0.00388016i | ||||
\(365\) | −0.588433 | + | 6.72581i | −0.0308000 | + | 0.352045i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1.71660 | + | 9.73534i | 0.0896059 | + | 0.508180i | 0.996267 | + | 0.0863214i | \(0.0275112\pi\) |
−0.906661 | + | 0.421859i | \(0.861378\pi\) | |||||||
\(368\) | −3.85469 | + | 2.69909i | −0.200940 | + | 0.140700i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.70487 | + | 3.45091i | 0.140620 | + | 0.179404i | ||||
\(371\) | − | 1.62102i | − | 0.0841592i | ||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.04917 | − | 0.537652i | 0.157880 | − | 0.0278386i | −0.0941493 | − | 0.995558i | \(-0.530013\pi\) |
0.252030 | + | 0.967720i | \(0.418902\pi\) | |||||||
\(374\) | 5.61897 | + | 2.04514i | 0.290550 | + | 0.105752i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.66924 | − | 1.66924i | 0.0860846 | − | 0.0860846i | ||||
\(377\) | −0.210227 | − | 0.250538i | −0.0108272 | − | 0.0129034i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −25.9424 | + | 9.44226i | −1.33257 | + | 0.485016i | −0.907465 | − | 0.420127i | \(-0.861985\pi\) |
−0.425106 | + | 0.905144i | \(0.639763\pi\) | |||||||
\(380\) | −0.884001 | + | 0.510378i | −0.0453483 | + | 0.0261819i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.0402462 | + | 0.228247i | −0.00205917 | + | 0.0116782i | ||||
\(383\) | −4.97953 | − | 10.6786i | −0.254442 | − | 0.545653i | 0.737047 | − | 0.675841i | \(-0.236219\pi\) |
−0.991489 | + | 0.130189i | \(0.958442\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.729137 | − | 8.33407i | −0.0371603 | − | 0.424744i | ||||
\(386\) | −10.1382 | + | 12.0823i | −0.516023 | + | 0.614972i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.70519 | − | 2.43527i | 0.0865680 | − | 0.123632i | ||||
\(389\) | 13.8852 | − | 19.8301i | 0.704006 | − | 1.00543i | −0.294750 | − | 0.955574i | \(-0.595236\pi\) |
0.998757 | − | 0.0498511i | \(-0.0158747\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.21279 | + | 5.02061i | −0.213050 | + | 0.253903i | ||||
\(392\) | −0.0268053 | − | 0.306386i | −0.00135387 | − | 0.0154748i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.175635 | + | 0.376650i | 0.00884835 | + | 0.0189753i | ||||
\(395\) | 0.178120 | − | 1.01017i | 0.00896221 | − | 0.0508272i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −12.1780 | + | 7.03099i | −0.611198 | + | 0.352875i | −0.773434 | − | 0.633877i | \(-0.781463\pi\) |
0.162236 | + | 0.986752i | \(0.448129\pi\) | |||||||
\(398\) | 0.963709 | − | 0.350761i | 0.0483064 | − | 0.0175821i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.87995 | + | 3.43219i | 0.143997 | + | 0.171609i | ||||
\(401\) | 12.7350 | − | 12.7350i | 0.635955 | − | 0.635955i | −0.313600 | − | 0.949555i | \(-0.601535\pi\) |
0.949555 | + | 0.313600i | \(0.101535\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.164694 | − | 0.0599437i | −0.00820400 | − | 0.00298601i | ||||
\(404\) | 6.61133 | − | 1.16576i | 0.328926 | − | 0.0579985i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | − | 22.8285i | − | 1.13296i | ||||||
\(407\) | 9.74496 | − | 24.2290i | 0.483040 | − | 1.20099i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 19.7209 | − | 13.8087i | 0.975135 | − | 0.682797i | 0.0266586 | − | 0.999645i | \(-0.491513\pi\) |
0.948476 | + | 0.316848i | \(0.102624\pi\) | |||||||
\(410\) | −1.12276 | − | 6.36746i | −0.0554489 | − | 0.314467i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.865251 | + | 9.88987i | −0.0426279 | + | 0.487239i | ||||
\(413\) | −6.00542 | − | 6.00542i | −0.295507 | − | 0.295507i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.55118 | + | 5.78907i | 0.0761443 | + | 0.284174i | ||||
\(416\) | 0.0132459 | + | 0.0363927i | 0.000649432 | + | 0.00178430i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 5.26518 | + | 3.03985i | 0.257528 | + | 0.148684i | ||||
\(419\) | −4.19000 | − | 0.738811i | −0.204695 | − | 0.0360933i | 0.0703603 | − | 0.997522i | \(-0.477585\pi\) |
−0.275055 | + | 0.961428i | \(0.588696\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.60289 | − | 9.71413i | 0.126857 | − | 0.473438i | −0.873042 | − | 0.487645i | \(-0.837856\pi\) |
0.999899 | + | 0.0142075i | \(0.00452255\pi\) | |||||||
\(422\) | 11.4181 | − | 0.998953i | 0.555824 | − | 0.0486283i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.253426 | + | 0.543474i | −0.0123074 | + | 0.0263934i | ||||
\(425\) | 5.11162 | + | 3.57920i | 0.247950 | + | 0.173617i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 27.4606 | + | 12.8051i | 1.32891 | + | 0.619682i | ||||
\(428\) | −7.13404 | − | 5.98617i | −0.344837 | − | 0.289352i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.663223 | − | 0.177710i | −0.0319835 | − | 0.00856994i | ||||
\(431\) | −10.0279 | + | 4.67606i | −0.483025 | + | 0.225238i | −0.648849 | − | 0.760917i | \(-0.724749\pi\) |
0.165824 | + | 0.986155i | \(0.446972\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −8.87524 | + | 15.3724i | −0.426517 | + | 0.738748i | −0.996561 | − | 0.0828656i | \(-0.973593\pi\) |
0.570044 | + | 0.821614i | \(0.306926\pi\) | |||||||
\(434\) | −6.11673 | − | 10.5945i | −0.293613 | − | 0.508552i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −9.98985 | + | 2.67677i | −0.478427 | + | 0.128194i | ||||
\(437\) | −5.10467 | + | 4.28333i | −0.244190 | + | 0.204899i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 10.2965 | + | 0.900824i | 0.491424 | + | 0.0429940i | 0.330175 | − | 0.943920i | \(-0.392892\pi\) |
0.161249 | + | 0.986914i | \(0.448448\pi\) | |||||||
\(440\) | −1.05847 | + | 2.90812i | −0.0504606 | + | 0.138639i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.0309384 | + | 0.0441846i | 0.00147159 | + | 0.00210165i | ||||
\(443\) | 19.7759 | 0.939580 | 0.469790 | − | 0.882778i | \(-0.344330\pi\) | ||||
0.469790 | + | 0.882778i | \(0.344330\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 7.72783 | 0.366334 | ||||||||
\(446\) | 1.77911 | + | 2.54084i | 0.0842434 | + | 0.120312i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.924566 | + | 2.54022i | −0.0436816 | + | 0.120014i | ||||
\(449\) | −17.1146 | − | 1.49733i | −0.807686 | − | 0.0706633i | −0.324170 | − | 0.945999i | \(-0.605085\pi\) |
−0.483516 | + | 0.875336i | \(0.660640\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −29.5005 | + | 24.7538i | −1.38912 | + | 1.16561i | ||||
\(452\) | −3.07110 | + | 0.822898i | −0.144452 | + | 0.0387058i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2.37146 | + | 4.10748i | 0.111298 | + | 0.192774i | ||||
\(455\) | 0.0377327 | − | 0.0653550i | 0.00176894 | − | 0.00306389i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 36.0382 | − | 16.8049i | 1.68579 | − | 0.786099i | 0.687597 | − | 0.726093i | \(-0.258666\pi\) |
0.998198 | − | 0.0600060i | \(-0.0191120\pi\) | |||||||
\(458\) | 24.4308 | + | 6.54621i | 1.14158 | + | 0.305884i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −2.59844 | − | 2.18035i | −0.121153 | − | 0.101659i | ||||
\(461\) | −37.4798 | − | 17.4771i | −1.74561 | − | 0.813991i | −0.986650 | − | 0.162853i | \(-0.947930\pi\) |
−0.758959 | − | 0.651138i | \(-0.774292\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 31.8270 | + | 22.2855i | 1.47913 | + | 1.03570i | 0.986188 | + | 0.165632i | \(0.0529665\pi\) |
0.492939 | + | 0.870064i | \(0.335922\pi\) | |||||||
\(464\) | −3.56894 | + | 7.65362i | −0.165684 | + | 0.355310i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 10.3608 | − | 0.906448i | 0.479953 | − | 0.0419904i | ||||
\(467\) | −5.38963 | + | 20.1144i | −0.249403 | + | 0.930783i | 0.721717 | + | 0.692188i | \(0.243353\pi\) |
−0.971119 | + | 0.238594i | \(0.923313\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −22.7014 | − | 4.00288i | −1.04825 | − | 0.184836i | ||||
\(470\) | 1.47366 | + | 0.850820i | 0.0679750 | + | 0.0392454i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.07454 | + | 2.95228i | 0.0494599 | + | 0.135890i | ||||
\(473\) | 1.05845 | + | 3.95021i | 0.0486678 | + | 0.181631i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.48633 | + | 4.48633i | 0.205847 | + | 0.205847i | ||||
\(476\) | −0.328140 | + | 3.75066i | −0.0150403 | + | 0.171911i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.16792 | − | 12.2949i | −0.0991584 | − | 0.562355i | ||||
\(479\) | 16.4408 | − | 11.5120i | 0.751201 | − | 0.525996i | −0.134127 | − | 0.990964i | \(-0.542823\pi\) |
0.885328 | + | 0.464968i | \(0.153934\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.197369 | − | 0.128613i | 0.00899923 | − | 0.00586426i | ||||
\(482\) | 8.81197i | 0.401374i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 7.31970 | − | 1.29066i | 0.332714 | − | 0.0586664i | ||||
\(485\) | 2.01373 | + | 0.732938i | 0.0914388 | + | 0.0332810i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.4440 | − | 10.4440i | 0.473261 | − | 0.473261i | −0.429708 | − | 0.902968i | \(-0.641383\pi\) |
0.902968 | + | 0.429708i | \(0.141383\pi\) | |||||||
\(488\) | −7.20470 | − | 8.58622i | −0.326141 | − | 0.388680i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.208326 | − | 0.0758245i | 0.00941121 | − | 0.00342540i | ||||
\(491\) | −19.9822 | + | 11.5367i | −0.901785 | + | 0.520646i | −0.877779 | − | 0.479066i | \(-0.840976\pi\) |
−0.0240064 | + | 0.999712i | \(0.507642\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.04239 | + | 11.5830i | −0.0919846 | + | 0.521671i | ||||
\(494\) | 0.0231775 | + | 0.0497042i | 0.00104280 | + | 0.00223630i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.394420 | + | 4.50825i | 0.0177100 | + | 0.202426i | ||||
\(497\) | −1.34026 | + | 1.59726i | −0.0601189 | + | 0.0716469i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.48381 | − | 13.5443i | 0.424554 | − | 0.606326i | −0.548711 | − | 0.836012i | \(-0.684881\pi\) |
0.973265 | + | 0.229687i | \(0.0737701\pi\) | |||||||
\(500\) | −3.91969 | + | 5.59790i | −0.175294 | + | 0.250345i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 5.27439 | − | 6.28578i | 0.235408 | − | 0.280548i | ||||
\(503\) | −3.72021 | − | 42.5222i | −0.165876 | − | 1.89597i | −0.389086 | − | 0.921201i | \(-0.627209\pi\) |
0.223210 | − | 0.974770i | \(-0.428346\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.04512 | + | 4.38578i | 0.0910067 | + | 0.195165i | ||||
\(506\) | −3.50824 | + | 19.8962i | −0.155960 | + | 0.884494i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −15.0070 | + | 8.66428i | −0.665827 | + | 0.384415i | ||||
\(509\) | 18.5564 | − | 6.75400i | 0.822500 | − | 0.299366i | 0.103723 | − | 0.994606i | \(-0.466924\pi\) |
0.718777 | + | 0.695241i | \(0.244702\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 16.2750 | + | 19.3958i | 0.719963 | + | 0.858019i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 7.53957 | + | 2.74418i | 0.332556 | + | 0.121041i | ||||
\(515\) | −7.04744 | + | 1.24265i | −0.310547 | + | 0.0547578i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 10.1351i | − | 0.445741i | ||||||
\(518\) | 16.3238 | + | 1.97833i | 0.717226 | + | 0.0869226i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.0228679 | + | 0.0160123i | −0.00100283 | + | 0.000702186i | ||||
\(521\) | 4.14458 | + | 23.5051i | 0.181577 | + | 1.02978i | 0.930275 | + | 0.366864i | \(0.119569\pi\) |
−0.748697 | + | 0.662912i | \(0.769320\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −2.11764 | + | 24.2048i | −0.0925981 | + | 1.05840i | 0.797709 | + | 0.603042i | \(0.206045\pi\) |
−0.890308 | + | 0.455360i | \(0.849511\pi\) | |||||||
\(524\) | −12.0232 | − | 12.0232i | −0.525236 | − | 0.525236i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.03022 | + | 18.7730i | 0.219328 | + | 0.818544i | ||||
\(527\) | 2.15572 | + | 5.92279i | 0.0939046 | + | 0.258001i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 0.741561 | + | 0.428140i | 0.0322418 | + | 0.0186148i | ||||
\(530\) | −0.425684 | − | 0.0750596i | −0.0184905 | − | 0.00326038i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.990766 | + | 3.69759i | −0.0429551 | + | 0.160311i | ||||
\(533\) | −0.346063 | + | 0.0302766i | −0.0149896 | + | 0.00131142i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.83703 | − | 6.08402i | 0.122655 | − | 0.263035i | ||||
\(536\) | 6.98522 | + | 4.89111i | 0.301716 | + | 0.211264i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 17.8735 | + | 8.33455i | 0.770582 | + | 0.359328i | ||||
\(539\) | −1.01151 | − | 0.848761i | −0.0435690 | − | 0.0365587i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −18.3170 | − | 4.90803i | −0.787510 | − | 0.211013i | −0.157417 | − | 0.987532i | \(-0.550317\pi\) |
−0.630093 | + | 0.776520i | \(0.716983\pi\) | |||||||
\(542\) | 22.9861 | − | 10.7186i | 0.987338 | − | 0.460403i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.696381 | − | 1.20617i | 0.0298571 | − | 0.0517140i | ||||
\(545\) | −3.72751 | − | 6.45623i | −0.159669 | − | 0.276555i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 17.5071 | − | 4.69100i | 0.748548 | − | 0.200573i | 0.135674 | − | 0.990754i | \(-0.456680\pi\) |
0.612874 | + | 0.790181i | \(0.290013\pi\) | |||||||
\(548\) | 6.41566 | − | 5.38338i | 0.274063 | − | 0.229967i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 19.1626 | + | 1.67651i | 0.817097 | + | 0.0714867i | ||||
\(551\) | −4.09008 | + | 11.2374i | −0.174243 | + | 0.478729i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.20642 | − | 3.15109i | −0.0938264 | − | 0.133998i | ||||
\(554\) | 6.91782 | 0.293910 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 8.17309 | 0.346616 | ||||||||
\(557\) | 7.83666 | + | 11.1919i | 0.332050 | + | 0.474216i | 0.950110 | − | 0.311914i | \(-0.100970\pi\) |
−0.618060 | + | 0.786131i | \(0.712081\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.0126172 | + | 0.0346655i | −0.000533651 | + | 0.00146619i | ||||
\(560\) | −1.94117 | − | 0.169830i | −0.0820294 | − | 0.00717665i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −4.96338 | + | 4.16477i | −0.209368 | + | 0.175680i | ||||
\(563\) | −8.05397 | + | 2.15805i | −0.339434 | + | 0.0909512i | −0.424510 | − | 0.905423i | \(-0.639554\pi\) |
0.0850754 | + | 0.996375i | \(0.472887\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.14592 | − | 1.98479i | −0.0482091 | − | 0.0835006i | ||||
\(566\) | −11.9761 | + | 20.7433i | −0.503394 | + | 0.871904i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.699054 | − | 0.325974i | 0.0293317 | − | 0.0136776i | ||||
\(569\) | 40.1145 | + | 10.7487i | 1.68169 | + | 0.450607i | 0.968224 | − | 0.250084i | \(-0.0804582\pi\) |
0.713465 | + | 0.700691i | \(0.247125\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −27.7990 | − | 23.3261i | −1.16335 | − | 0.976168i | −0.163406 | − | 0.986559i | \(-0.552248\pi\) |
−0.999946 | + | 0.0103904i | \(0.996693\pi\) | |||||||
\(572\) | 0.150695 | + | 0.0702701i | 0.00630086 | + | 0.00293814i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −19.8624 | − | 13.9078i | −0.829041 | − | 0.580501i | ||||
\(575\) | −8.91026 | + | 19.1081i | −0.371584 | + | 0.796864i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 43.0103 | − | 3.76291i | 1.79054 | − | 0.156652i | 0.857045 | − | 0.515241i | \(-0.172298\pi\) |
0.933495 | + | 0.358590i | \(0.116742\pi\) | |||||||
\(578\) | −3.89787 | + | 14.5470i | −0.162130 | + | 0.605077i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −5.99482 | − | 1.05705i | −0.248921 | − | 0.0438916i | ||||
\(581\) | 19.4647 | + | 11.2380i | 0.807533 | + | 0.466229i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.880538 | + | 2.41926i | 0.0364681 | + | 0.100195i | ||||
\(584\) | −2.42417 | − | 9.04713i | −0.100313 | − | 0.374373i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −9.85416 | − | 9.85416i | −0.407072 | − | 0.407072i | ||||
\(587\) | −3.51806 | + | 40.2116i | −0.145206 | + | 1.65971i | 0.478529 | + | 0.878072i | \(0.341170\pi\) |
−0.623734 | + | 0.781636i | \(0.714385\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.11281 | + | 6.31108i | 0.0458527 | + | 0.260043i | ||||
\(590\) | −1.85511 | + | 1.29896i | −0.0763738 | + | 0.0534775i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −5.16352 | − | 3.21528i | −0.212220 | − | 0.132147i | ||||
\(593\) | − | 34.1575i | − | 1.40268i | −0.712827 | − | 0.701340i | \(-0.752585\pi\) | ||
0.712827 | − | 0.701340i | \(-0.247415\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.67269 | + | 0.471267i | −0.109570 | + | 0.0193201i | ||||
\(596\) | −9.55963 | − | 3.47942i | −0.391578 | − | 0.142523i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.128866 | + | 0.128866i | −0.00526973 | + | 0.00526973i | ||||
\(599\) | −22.3960 | − | 26.6906i | −0.915078 | − | 1.09055i | −0.995592 | − | 0.0937937i | \(-0.970101\pi\) |
0.0805140 | − | 0.996753i | \(-0.474344\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 32.7398 | − | 11.9163i | 1.33549 | − | 0.486077i | 0.427098 | − | 0.904206i | \(-0.359536\pi\) |
0.908388 | + | 0.418129i | \(0.137314\pi\) | |||||||
\(602\) | −2.22997 | + | 1.28747i | −0.0908868 | + | 0.0524735i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −2.91414 | + | 16.5269i | −0.118575 | + | 0.672471i | ||||
\(605\) | 2.26425 | + | 4.85569i | 0.0920547 | + | 0.197412i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.11297 | − | 24.1513i | −0.0857626 | − | 0.980271i | −0.910159 | − | 0.414259i | \(-0.864041\pi\) |
0.824397 | − | 0.566013i | \(-0.191515\pi\) | |||||||
\(608\) | 0.910241 | − | 1.08478i | 0.0369151 | − | 0.0439937i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 4.63418 | − | 6.61830i | 0.187633 | − | 0.267967i | ||||
\(611\) | 0.0524390 | − | 0.0748906i | 0.00212145 | − | 0.00302975i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 8.25283 | − | 9.83534i | 0.333329 | − | 0.397246i | −0.573182 | − | 0.819428i | \(-0.694291\pi\) |
0.906511 | + | 0.422182i | \(0.138736\pi\) | |||||||
\(614\) | −1.47169 | − | 16.8215i | −0.0593926 | − | 0.678860i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4.90487 | + | 10.5185i | 0.197623 | + | 0.423804i | ||||
\(617\) | 0.996744 | − | 5.65281i | 0.0401274 | − | 0.227574i | −0.958148 | − | 0.286272i | \(-0.907584\pi\) |
0.998276 | + | 0.0586983i | \(0.0186950\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 6.45138 | − | 3.72470i | 0.259303 | − | 0.149709i | −0.364714 | − | 0.931120i | \(-0.618833\pi\) |
0.624016 | + | 0.781411i | \(0.285500\pi\) | |||||||
\(620\) | −3.06537 | + | 1.11570i | −0.123108 | + | 0.0448077i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −5.71965 | − | 6.81641i | −0.229337 | − | 0.273313i | ||||
\(623\) | 20.4925 | − | 20.4925i | 0.821015 | − | 0.821015i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 16.4221 | + | 5.97715i | 0.656884 | + | 0.239086i | ||||
\(626\) | 19.1543 | − | 3.37742i | 0.765560 | − | 0.134989i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 24.0094i | 0.958079i | ||||||||
\(629\) | −8.10554 | − | 2.46422i | −0.323189 | − | 0.0982548i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 34.6175 | − | 24.2394i | 1.37810 | − | 0.964955i | 0.378880 | − | 0.925446i | \(-0.376309\pi\) |
0.999219 | − | 0.0395094i | \(-0.0125795\pi\) | |||||||
\(632\) | 0.247104 | + | 1.40140i | 0.00982928 | + | 0.0557446i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.96512 | + | 22.4614i | −0.0780447 | + | 0.892056i | ||||
\(635\) | −8.83244 | − | 8.83244i | −0.350505 | − | 0.350505i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.00308283 | − | 0.0115053i | −0.000122146 | − | 0.000455856i | ||||
\(638\) | 12.4004 | + | 34.0699i | 0.490937 | + | 1.34884i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.624258 | + | 0.360415i | 0.0246760 | + | 0.0142467i | ||||
\(641\) | 3.53559 | + | 0.623420i | 0.139647 | + | 0.0246236i | 0.243035 | − | 0.970018i | \(-0.421857\pi\) |
−0.103387 | + | 0.994641i | \(0.532968\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 10.9454 | − | 40.8489i | 0.431646 | − | 1.61092i | −0.317322 | − | 0.948318i | \(-0.602784\pi\) |
0.748968 | − | 0.662606i | \(-0.230550\pi\) | |||||||
\(644\) | −12.6723 | + | 1.10868i | −0.499359 | + | 0.0436882i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.833516 | − | 1.78748i | 0.0327943 | − | 0.0703275i | ||||
\(647\) | −10.5382 | − | 7.37894i | −0.414300 | − | 0.290096i | 0.347783 | − | 0.937575i | \(-0.386934\pi\) |
−0.762083 | + | 0.647479i | \(0.775823\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 12.2248 | + | 5.70051i | 0.479865 | + | 0.223765i | ||||
\(650\) | 0.132923 | + | 0.111536i | 0.00521367 | + | 0.00437479i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −7.32547 | − | 1.96285i | −0.286887 | − | 0.0768712i | ||||
\(653\) | −20.0068 | + | 9.32931i | −0.782926 | + | 0.365084i | −0.772625 | − | 0.634863i | \(-0.781057\pi\) |
−0.0103006 | + | 0.999947i | \(0.503279\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 6.12828 | − | 10.6145i | 0.239452 | − | 0.414743i | ||||
\(656\) | 4.48489 | + | 7.76805i | 0.175105 | + | 0.303292i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 6.16402 | − | 1.65164i | 0.240299 | − | 0.0643878i | ||||
\(659\) | −4.14058 | + | 3.47436i | −0.161294 | + | 0.135342i | −0.719863 | − | 0.694117i | \(-0.755795\pi\) |
0.558569 | + | 0.829458i | \(0.311351\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 37.3375 | + | 3.26660i | 1.45226 | + | 0.127056i | 0.785798 | − | 0.618484i | \(-0.212253\pi\) |
0.666461 | + | 0.745540i | \(0.267808\pi\) | |||||||
\(662\) | −2.57361 | + | 7.07095i | −0.100026 | + | 0.274820i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.76895 | − | 6.81077i | −0.185071 | − | 0.264309i | ||||
\(665\) | −2.75936 | −0.107003 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −39.7390 | −1.53870 | ||||||||
\(668\) | 12.3723 | + | 17.6695i | 0.478699 | + | 0.683653i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −2.10233 | + | 5.77610i | −0.0812201 | + | 0.223150i | ||||
\(671\) | −47.9387 | − | 4.19409i | −1.85065 | − | 0.161911i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −32.0178 | + | 26.8661i | −1.23420 | + | 1.03561i | −0.236240 | + | 0.971695i | \(0.575915\pi\) |
−0.997955 | + | 0.0639180i | \(0.979640\pi\) | |||||||
\(674\) | 10.6422 | − | 2.85158i | 0.409924 | − | 0.109839i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −6.49925 | − | 11.2570i | −0.249971 | − | 0.432963i | ||||
\(677\) | −19.7100 | + | 34.1388i | −0.757518 | + | 1.31206i | 0.186594 | + | 0.982437i | \(0.440255\pi\) |
−0.944113 | + | 0.329623i | \(0.893078\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 7.28356 | − | 3.39638i | 0.279518 | − | 0.130341i | ||||
\(680\) | 0.969738 | + | 0.259841i | 0.0371878 | + | 0.00996443i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 14.8837 | + | 12.4889i | 0.569926 | + | 0.478225i | ||||
\(683\) | 15.4128 | + | 7.18709i | 0.589753 | + | 0.275006i | 0.694500 | − | 0.719492i | \(-0.255626\pi\) |
−0.104747 | + | 0.994499i | \(0.533403\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 4.94522 | + | 3.46268i | 0.188947 | + | 0.132302i | ||||
\(686\) | −7.64573 | + | 16.3963i | −0.291915 | + | 0.626015i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.948913 | − | 0.0830192i | 0.0361770 | − | 0.00316508i | ||||
\(689\) | −0.00601074 | + | 0.0224324i | −0.000228991 | + | 0.000854606i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.02015 | + | 1.41417i | 0.305101 | + | 0.0537975i | 0.324103 | − | 0.946022i | \(-0.394938\pi\) |
−0.0190017 | + | 0.999819i | \(0.506049\pi\) | |||||||
\(692\) | 4.05228 | + | 2.33959i | 0.154045 | + | 0.0889377i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −7.00233 | − | 19.2387i | −0.265805 | − | 0.730293i | ||||
\(695\) | 1.52481 | + | 5.69067i | 0.0578394 | + | 0.215859i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 8.83372 | + | 8.83372i | 0.334601 | + | 0.334601i | ||||
\(698\) | −2.32761 | + | 26.6047i | −0.0881015 | + | 1.00700i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 2.10317 | + | 11.9276i | 0.0794922 | + | 0.450822i | ||||
\(701\) | 13.8128 | − | 9.67182i | 0.521702 | − | 0.365299i | −0.282867 | − | 0.959159i | \(-0.591285\pi\) |
0.804569 | + | 0.593860i | \(0.202397\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −7.68098 | − | 3.89849i | −0.289694 | − | 0.147035i | ||||
\(704\) | − | 4.29332i | − | 0.161811i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2.87615 | + | 0.507143i | −0.108245 | + | 0.0190866i | ||||
\(707\) | 17.0533 | + | 6.20691i | 0.641357 | + | 0.233435i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −11.8507 | + | 11.8507i | −0.445064 | + | 0.445064i | −0.893710 | − | 0.448646i | \(-0.851906\pi\) |
0.448646 | + | 0.893710i | \(0.351906\pi\) | |||||||
\(710\) | 0.357385 | + | 0.425915i | 0.0134124 | + | 0.0159843i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −10.0742 | + | 3.66670i | −0.377546 | + | 0.137416i | ||||
\(713\) | −18.4425 | + | 10.6478i | −0.690676 | + | 0.398762i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.0208126 | + | 0.118034i | −0.000778347 | + | 0.00441422i | ||||
\(716\) | 10.9307 | + | 23.4409i | 0.408498 | + | 0.876026i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −2.69825 | − | 30.8411i | −0.100698 | − | 1.15098i | ||||
\(719\) | −1.15668 | + | 1.37848i | −0.0431370 | + | 0.0514086i | −0.787182 | − | 0.616721i | \(-0.788461\pi\) |
0.744045 | + | 0.668130i | \(0.232905\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −15.3930 | + | 21.9835i | −0.573266 | + | 0.818708i | ||||
\(722\) | −9.74776 | + | 13.9213i | −0.362774 | + | 0.518095i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1.62752 | − | 1.93960i | 0.0604863 | − | 0.0720847i | ||||
\(725\) | 3.29765 | + | 37.6923i | 0.122472 | + | 1.39986i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 15.3139 | + | 32.8407i | 0.567960 | + | 1.21800i | 0.955185 | + | 0.296010i | \(0.0956561\pi\) |
−0.387224 | + | 0.921985i | \(0.626566\pi\) | |||||||
\(728\) | −0.0181796 | + | 0.103102i | −0.000673782 | + | 0.00382121i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 5.84698 | − | 3.37575i | 0.216406 | − | 0.124942i | ||||
\(731\) | 1.24665 | − | 0.453744i | 0.0461091 | − | 0.0167823i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 24.6964 | + | 29.4320i | 0.912182 | + | 1.08710i | 0.995887 | + | 0.0906055i | \(0.0288802\pi\) |
−0.0837050 | + | 0.996491i | \(0.526675\pi\) | |||||||
\(734\) | 6.99012 | − | 6.99012i | 0.258010 | − | 0.258010i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.42192 | + | 1.60945i | 0.162994 | + | 0.0593250i | ||||
\(737\) | 36.0546 | − | 6.35740i | 1.32809 | − | 0.234178i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 45.9953i | − | 1.69196i | −0.533211 | − | 0.845982i | \(-0.679015\pi\) | ||
0.533211 | − | 0.845982i | \(-0.320985\pi\) | |||||||
\(740\) | 1.27537 | − | 4.19506i | 0.0468835 | − | 0.154214i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.32786 | + | 0.929780i | −0.0487474 | + | 0.0341333i | ||||
\(743\) | −0.372254 | − | 2.11116i | −0.0136567 | − | 0.0774508i | 0.977218 | − | 0.212239i | \(-0.0680756\pi\) |
−0.990874 | + | 0.134788i | \(0.956965\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.639123 | − | 7.30521i | 0.0234157 | − | 0.267642i | ||||
\(746\) | −2.18935 | − | 2.18935i | −0.0801579 | − | 0.0801579i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1.54763 | − | 5.77583i | −0.0565869 | − | 0.211185i | ||||
\(749\) | −8.61032 | − | 23.6567i | −0.314614 | − | 0.864395i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 23.4439 | + | 13.5354i | 0.855481 | + | 0.493912i | 0.862496 | − | 0.506063i | \(-0.168900\pi\) |
−0.00701548 | + | 0.999975i | \(0.502233\pi\) | |||||||
\(752\) | −2.32480 | − | 0.409925i | −0.0847767 | − | 0.0149484i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.0846479 | + | 0.315910i | −0.00308270 | + | 0.0115048i | ||||
\(755\) | −12.0509 | + | 1.05431i | −0.438576 | + | 0.0383704i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −12.5183 | + | 26.8457i | −0.454987 | + | 0.975723i | 0.536303 | + | 0.844026i | \(0.319820\pi\) |
−0.991290 | + | 0.131697i | \(0.957957\pi\) | |||||||
\(758\) | 22.6146 | + | 15.8349i | 0.821399 | + | 0.575150i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.925120 | + | 0.431390i | 0.0335576 | + | 0.0156482i | ||||
\(761\) | −33.4303 | − | 28.0514i | −1.21185 | − | 1.01686i | −0.999210 | − | 0.0397296i | \(-0.987350\pi\) |
−0.212637 | − | 0.977131i | \(-0.568205\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −27.0050 | − | 7.23598i | −0.977648 | − | 0.261960i | ||||
\(764\) | 0.210054 | − | 0.0979496i | 0.00759947 | − | 0.00354369i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −5.89128 | + | 10.2040i | −0.212861 | + | 0.368686i | ||||
\(767\) | 0.0608375 | + | 0.105374i | 0.00219671 | + | 0.00380482i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 16.6847 | − | 4.47064i | 0.601664 | − | 0.161215i | 0.0548856 | − | 0.998493i | \(-0.482521\pi\) |
0.546779 | + | 0.837277i | \(0.315854\pi\) | |||||||
\(770\) | −6.40866 | + | 5.37750i | −0.230952 | + | 0.193792i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 15.7123 | + | 1.37465i | 0.565498 | + | 0.0494746i | ||||
\(773\) | 3.90275 | − | 10.7227i | 0.140372 | − | 0.385669i | −0.849508 | − | 0.527576i | \(-0.823101\pi\) |
0.989880 | + | 0.141907i | \(0.0453233\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 11.6298 | + | 16.6091i | 0.417754 | + | 0.596615i | ||||
\(776\) | −2.97291 | −0.106721 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −24.2081 | −0.867901 | ||||||||
\(779\) | 7.28554 | + | 10.4048i | 0.261031 | + | 0.372792i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.13261 | − | 3.11182i | 0.0405280 | − | 0.111350i | ||||
\(782\) | 6.52900 | + | 0.571214i | 0.233477 | + | 0.0204266i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.235602 | + | 0.197693i | −0.00841435 | + | 0.00706048i | ||||
\(785\) | −16.7170 | + | 4.47931i | −0.596656 | + | 0.159873i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −20.1358 | − | 34.8762i | −0.717763 | − | 1.24320i | −0.961884 | − | 0.273457i | \(-0.911833\pi\) |
0.244122 | − | 0.969745i | \(-0.421500\pi\) | |||||||
\(788\) | 0.207793 | − | 0.359909i | 0.00740234 | − | 0.0128212i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.929649 | + | 0.433503i | −0.0330754 | + | 0.0154233i | ||||
\(791\) | −8.30194 | − | 2.22450i | −0.295183 | − | 0.0790940i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.332530 | − | 0.279026i | −0.0118085 | − | 0.00990850i | ||||
\(794\) | 12.7445 | + | 5.94285i | 0.452284 | + | 0.210904i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.840088 | − | 0.588236i | −0.0297761 | − | 0.0208495i | ||||
\(797\) | −12.0198 | + | 25.7765i | −0.425762 | + | 0.913049i | 0.570049 | + | 0.821611i | \(0.306924\pi\) |
−0.995811 | + | 0.0914383i | \(0.970854\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.27533 | + | 0.286555i | −0.115873 | + | 0.0101376i | ||||
\(800\) | 1.15961 | − | 4.32774i | 0.0409985 | − | 0.153009i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −17.7364 | − | 3.12740i | −0.626293 | − | 0.110432i | ||||
\(803\) | −34.8250 | − | 20.1062i | −1.22895 | − | 0.709534i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −3.13615 | − | 8.61649i | −0.110535 | − | 0.303692i | ||||
\(806\) | 0.0453616 | + | 0.169292i | 0.00159779 | + | 0.00596305i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −4.74704 | − | 4.74704i | −0.167000 | − | 0.167000i | ||||
\(809\) | 2.70079 | − | 30.8702i | 0.0949548 | − | 1.08534i | −0.787935 | − | 0.615758i | \(-0.788850\pi\) |
0.882890 | − | 0.469580i | \(-0.155595\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −8.59939 | − | 48.7696i | −0.301965 | − | 1.71253i | −0.637455 | − | 0.770487i | \(-0.720013\pi\) |
0.335490 | − | 0.942044i | \(-0.391098\pi\) | |||||||
\(812\) | −18.7000 | + | 13.0939i | −0.656242 | + | 0.459505i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −25.4367 | + | 5.91456i | −0.891555 | + | 0.207305i | ||||
\(815\) | − | 5.46670i | − | 0.191490i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.32838 | − | 0.234229i | 0.0464742 | − | 0.00819465i | ||||
\(818\) | −22.6229 | − | 8.23405i | −0.790990 | − | 0.287897i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −4.57193 | + | 4.57193i | −0.159659 | + | 0.159659i | ||||
\(821\) | 29.0896 | + | 34.6676i | 1.01523 | + | 1.20991i | 0.977569 | + | 0.210616i | \(0.0675471\pi\) |
0.0376635 | + | 0.999290i | \(0.488008\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 34.7330 | − | 12.6418i | 1.21072 | − | 0.440665i | 0.343764 | − | 0.939056i | \(-0.388298\pi\) |
0.866952 | + | 0.498391i | \(0.166076\pi\) | |||||||
\(824\) | 8.59759 | − | 4.96382i | 0.299511 | − | 0.172923i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1.47478 | + | 8.36392i | −0.0513143 | + | 0.291018i | ||||
\(827\) | 0.198441 | + | 0.425559i | 0.00690048 | + | 0.0147981i | 0.909728 | − | 0.415205i | \(-0.136290\pi\) |
−0.902827 | + | 0.430003i | \(0.858512\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −2.00427 | − | 22.9089i | −0.0696113 | − | 0.795661i | −0.948116 | − | 0.317926i | \(-0.897014\pi\) |
0.878504 | − | 0.477735i | \(-0.158542\pi\) | |||||||
\(830\) | 3.85241 | − | 4.59112i | 0.133719 | − | 0.159360i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.0222137 | − | 0.0317244i | 0.000770120 | − | 0.00109985i | ||||
\(833\) | −0.245693 | + | 0.350886i | −0.00851276 | + | 0.0121575i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −9.99448 | + | 11.9110i | −0.345873 | + | 0.412196i | ||||
\(836\) | −0.529881 | − | 6.05657i | −0.0183263 | − | 0.209471i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 1.79809 | + | 3.85601i | 0.0621140 | + | 0.133204i | ||||
\(839\) | 5.55488 | − | 31.5033i | 0.191776 | − | 1.08761i | −0.725160 | − | 0.688580i | \(-0.758234\pi\) |
0.916936 | − | 0.399034i | \(-0.130655\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −36.6461 | + | 21.1576i | −1.26366 | + | 0.729574i | ||||
\(842\) | −9.45031 | + | 3.43963i | −0.325679 | + | 0.118538i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −7.36744 | − | 8.78017i | −0.253598 | − | 0.302226i | ||||
\(845\) | 6.62539 | − | 6.62539i | 0.227920 | − | 0.227920i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 18.8805 | + | 6.87194i | 0.648742 | + | 0.236123i | ||||
\(848\) | 0.590547 | − | 0.104129i | 0.0202795 | − | 0.00357581i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | − | 6.24014i | − | 0.214035i | ||||||
\(851\) | 3.44379 | − | 28.4158i | 0.118052 | − | 0.974081i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 31.1942 | − | 21.8424i | 1.06807 | − | 0.747871i | 0.0991071 | − | 0.995077i | \(-0.468401\pi\) |
0.968963 | + | 0.247206i | \(0.0795125\pi\) | |||||||
\(854\) | −5.26144 | − | 29.8391i | −0.180043 | − | 1.02107i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.811666 | + | 9.27739i | −0.0277422 | + | 0.317095i | ||||
\(857\) | −2.16381 | − | 2.16381i | −0.0739144 | − | 0.0739144i | 0.669183 | − | 0.743098i | \(-0.266644\pi\) |
−0.743098 | + | 0.669183i | \(0.766644\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 8.14097 | + | 30.3825i | 0.277766 | + | 1.03664i | 0.953965 | + | 0.299918i | \(0.0969595\pi\) |
−0.676199 | + | 0.736719i | \(0.736374\pi\) | |||||||
\(860\) | 0.234838 | + | 0.645211i | 0.00800789 | + | 0.0220015i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 9.58215 | + | 5.53225i | 0.326369 | + | 0.188429i | ||||
\(863\) | −49.9048 | − | 8.79957i | −1.69878 | − | 0.299541i | −0.761512 | − | 0.648150i | \(-0.775543\pi\) |
−0.937268 | + | 0.348609i | \(0.886654\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.872968 | + | 3.25796i | −0.0296818 | + | 0.110774i | ||||
\(866\) | 17.6829 | − | 1.54706i | 0.600890 | − | 0.0525711i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −5.17008 | + | 11.0873i | −0.175484 | + | 0.376327i | ||||
\(869\) | 5.00459 | + | 3.50425i | 0.169769 | + | 0.118873i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.299309 | + | 0.139570i | 0.0101417 | + | 0.00472916i | ||||
\(872\) | 7.92262 | + | 6.64787i | 0.268294 | + | 0.225125i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 6.43662 | + | 1.72469i | 0.217722 | + | 0.0583384i | ||||
\(875\) | −16.7426 | + | 7.80719i | −0.566002 | + | 0.263931i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 15.1689 | − | 26.2733i | 0.512217 | − | 0.887186i | −0.487682 | − | 0.873021i | \(-0.662158\pi\) |
0.999900 | − | 0.0141652i | \(-0.00450908\pi\) | |||||||
\(878\) | −5.16790 | − | 8.95107i | −0.174408 | − | 0.302084i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 2.98931 | − | 0.800983i | 0.100770 | − | 0.0270011i | ||||
\(881\) | 30.1668 | − | 25.3130i | 1.01635 | − | 0.852816i | 0.0271823 | − | 0.999630i | \(-0.491347\pi\) |
0.989164 | + | 0.146815i | \(0.0469021\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −30.3080 | − | 2.65161i | −1.01995 | − | 0.0892337i | −0.435103 | − | 0.900381i | \(-0.643288\pi\) |
−0.584843 | + | 0.811147i | \(0.698844\pi\) | |||||||
\(884\) | 0.0184484 | − | 0.0506865i | 0.000620485 | − | 0.00170477i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −11.3430 | − | 16.1994i | −0.381075 | − | 0.544231i | ||||
\(887\) | 6.29614 | 0.211404 | 0.105702 | − | 0.994398i | \(-0.466291\pi\) | ||||
0.105702 | + | 0.994398i | \(0.466291\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −46.8434 | −1.57108 | ||||||||
\(890\) | −4.43250 | − | 6.33027i | −0.148578 | − | 0.212191i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 1.06087 | − | 2.91473i | 0.0355207 | − | 0.0975923i | ||||
\(893\) | −3.33018 | − | 0.291353i | −0.111440 | − | 0.00974974i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −14.2819 | + | 11.9839i | −0.477391 | + | 0.400578i | ||||
\(896\) | 2.61114 | − | 0.699652i | 0.0872320 | − | 0.0233737i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 8.58996 | + | 14.8783i | 0.286651 | + | 0.496494i | ||||
\(899\) | −19.1084 | + | 33.0967i | −0.637301 | + | 1.10384i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.756930 | − | 0.352962i | 0.0252170 | − | 0.0117589i | ||||
\(902\) | 37.1979 | + | 9.96716i | 1.23856 | + | 0.331870i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 2.43559 | + | 2.04370i | 0.0810064 | + | 0.0679724i | ||||
\(905\) | 1.65412 | + | 0.771330i | 0.0549849 | + | 0.0256399i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 29.8378 | + | 20.8927i | 0.990749 | + | 0.693730i | 0.952184 | − | 0.305526i | \(-0.0988325\pi\) |
0.0385650 | + | 0.999256i | \(0.487721\pi\) | |||||||
\(908\) | 2.00444 | − | 4.29854i | 0.0665197 | − | 0.142652i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.0751783 | + | 0.00657725i | −0.00249214 | + | 0.000218034i | ||||
\(911\) | 3.46558 | − | 12.9337i | 0.114820 | − | 0.428514i | −0.884453 | − | 0.466628i | \(-0.845469\pi\) |
0.999273 | + | 0.0381146i | \(0.0121352\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −35.1542 | − | 6.19863i | −1.16343 | − | 0.205145i | ||||
\(914\) | −34.4364 | − | 19.8819i | −1.13905 | − | 0.657634i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −8.65058 | − | 23.7673i | −0.285823 | − | 0.785293i | ||||
\(917\) | −11.8965 | − | 44.3982i | −0.392856 | − | 1.46616i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −35.2453 | − | 35.2453i | −1.16263 | − | 1.16263i | −0.983897 | − | 0.178737i | \(-0.942799\pi\) |
−0.178737 | − | 0.983897i | \(-0.557201\pi\) | |||||||
\(920\) | −0.295634 | + | 3.37911i | −0.00974677 | + | 0.111406i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 7.18112 | + | 40.7262i | 0.236498 | + | 1.34124i | ||||
\(923\) | 0.0244697 | − | 0.0171339i | 0.000805430 | − | 0.000563968i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −27.2381 | − | 0.908406i | −0.895583 | − | 0.0298682i | ||||
\(926\) | − | 38.8536i | − | 1.27681i | ||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 8.31654 | − | 1.46643i | 0.273004 | − | 0.0481379i | ||||
\(929\) | 39.6302 | + | 14.4242i | 1.30023 | + | 0.473243i | 0.897070 | − | 0.441888i | \(-0.145691\pi\) |
0.403155 | + | 0.915132i | \(0.367913\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.307963 | + | 0.307963i | −0.0100931 | + | 0.0100931i | ||||
\(932\) | −6.68520 | − | 7.96711i | −0.218981 | − | 0.260971i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 19.5681 | − | 7.12221i | 0.640288 | − | 0.233046i | ||||
\(935\) | 3.73280 | − | 2.15513i | 0.122076 | − | 0.0704804i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −5.72780 | + | 32.4839i | −0.187119 | + | 1.06120i | 0.736084 | + | 0.676891i | \(0.236673\pi\) |
−0.923203 | + | 0.384314i | \(0.874438\pi\) | |||||||
\(938\) | 9.74204 | + | 20.8919i | 0.318089 | + | 0.682144i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.148308 | − | 1.69516i | −0.00483726 | − | 0.0552902i | ||||
\(941\) | 33.9498 | − | 40.4598i | 1.10673 | − | 1.31895i | 0.163600 | − | 0.986527i | \(-0.447689\pi\) |
0.943130 | − | 0.332424i | \(-0.107866\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −24.2102 | + | 34.5757i | −0.788392 | + | 1.12594i | ||||
\(944\) | 1.80204 | − | 2.57358i | 0.0586513 | − | 0.0837627i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2.62871 | − | 3.13278i | 0.0854669 | − | 0.101855i | ||||
\(947\) | 3.74383 | + | 42.7922i | 0.121658 | + | 1.39056i | 0.774265 | + | 0.632862i | \(0.218120\pi\) |
−0.652607 | + | 0.757697i | \(0.726325\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.153301 | − | 0.328755i | −0.00497635 | − | 0.0106718i | ||||
\(950\) | 1.10173 | − | 6.24823i | 0.0357449 | − | 0.202719i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 3.26057 | − | 1.88249i | 0.105676 | − | 0.0610119i | ||||
\(953\) | 48.5522 | − | 17.6716i | 1.57276 | − | 0.572438i | 0.599146 | − | 0.800640i | \(-0.295507\pi\) |
0.973614 | + | 0.228202i | \(0.0732846\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.107388 | + | 0.127980i | 0.00347499 | + | 0.00414133i | ||||
\(956\) | −8.82792 | + | 8.82792i | −0.285515 | + | 0.285515i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −18.8601 | − | 6.86453i | −0.609343 | − | 0.221783i | ||||
\(959\) | 22.2959 | − | 3.93137i | 0.719972 | − | 0.126950i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | − | 10.5202i | − | 0.339360i | ||||||
\(962\) | −0.218560 | − | 0.0879054i | −0.00704665 | − | 0.00283418i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 7.21834 | − | 5.05434i | 0.232487 | − | 0.162789i | ||||
\(965\) | 1.97423 | + | 11.1964i | 0.0635529 | + | 0.360426i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1.24942 | − | 14.2810i | 0.0401787 | − | 0.459245i | −0.949280 | − | 0.314431i | \(-0.898186\pi\) |
0.989459 | − | 0.144814i | \(-0.0462582\pi\) | |||||||
\(968\) | −5.25565 | − | 5.25565i | −0.168923 | − | 0.168923i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.554641 | − | 2.06995i | −0.0178084 | − | 0.0664620i | ||||
\(971\) | 3.86825 | + | 10.6279i | 0.124138 | + | 0.341067i | 0.986158 | − | 0.165807i | \(-0.0530230\pi\) |
−0.862020 | + | 0.506874i | \(0.830801\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 19.1339 | + | 11.0469i | 0.613404 | + | 0.354149i | ||||
\(974\) | −14.5456 | − | 2.56478i | −0.466071 | − | 0.0821808i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −2.90098 | + | 10.8266i | −0.0928581 | + | 0.346551i | ||||
\(977\) | −2.74072 | + | 0.239782i | −0.0876835 | + | 0.00767131i | −0.130913 | − | 0.991394i | \(-0.541791\pi\) |
0.0432295 | + | 0.999065i | \(0.486235\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −19.4521 | + | 41.7151i | −0.621691 | + | 1.33322i | ||||
\(980\) | −0.181603 | − | 0.127160i | −0.00580109 | − | 0.00406197i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 20.9117 | + | 9.75128i | 0.667319 | + | 0.311176i | ||||
\(983\) | −12.8151 | − | 10.7531i | −0.408738 | − | 0.342972i | 0.415121 | − | 0.909766i | \(-0.363739\pi\) |
−0.823860 | + | 0.566794i | \(0.808184\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.289360 | + | 0.0775339i | 0.00921979 | + | 0.00247044i | ||||
\(986\) | 10.6597 | − | 4.97069i | 0.339473 | − | 0.158299i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.0274213 | − | 0.0474950i | 0.000872387 | − | 0.00151102i | ||||
\(989\) | 2.24118 | + | 3.88185i | 0.0712655 | + | 0.123436i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.43450 | − | 1.18822i | 0.140867 | − | 0.0377451i | −0.187697 | − | 0.982227i | \(-0.560102\pi\) |
0.328563 | + | 0.944482i | \(0.393436\pi\) | |||||||
\(992\) | 3.46671 | − | 2.90891i | 0.110068 | − | 0.0923581i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 2.07714 | + | 0.181726i | 0.0658829 | + | 0.00576400i | ||||
\(995\) | 0.252840 | − | 0.694671i | 0.00801556 | − | 0.0220226i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −2.56338 | − | 3.66088i | −0.0811829 | − | 0.115941i | 0.776507 | − | 0.630109i | \(-0.216990\pi\) |
−0.857690 | + | 0.514168i | \(0.828101\pi\) | |||||||
\(998\) | −16.5345 | −0.523391 | ||||||||
\(999\) | 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.a.431.2 | yes | 72 | |
3.2 | odd | 2 | inner | 666.2.bs.a.431.5 | yes | 72 | |
37.17 | odd | 36 | inner | 666.2.bs.a.17.5 | yes | 72 | |
111.17 | even | 36 | inner | 666.2.bs.a.17.2 | ✓ | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
666.2.bs.a.17.2 | ✓ | 72 | 111.17 | even | 36 | inner | |
666.2.bs.a.17.5 | yes | 72 | 37.17 | odd | 36 | inner | |
666.2.bs.a.431.2 | yes | 72 | 1.1 | even | 1 | trivial | |
666.2.bs.a.431.5 | yes | 72 | 3.2 | odd | 2 | inner |