Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [861,2,Mod(206,861)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(861, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("861.206");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 861 = 3 \cdot 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 861.s (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.87511961403\) |
Analytic rank: | \(0\) |
Dimension: | \(106\) |
Relative dimension: | \(53\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 698.4 | ||
Character | \(\chi\) | \(=\) | 861.698 |
Dual form | 861.2.s.a.206.4 |
$q$-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 \(\left(\mathbb{Z}/861\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(493\) | \(575\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.15448 | − | 1.24389i | −1.52345 | − | 0.879564i | −0.999615 | − | 0.0277434i | \(-0.991168\pi\) |
−0.523834 | − | 0.851820i | \(-0.675499\pi\) | |||||||
\(3\) | −1.08687 | − | 1.34860i | −0.627502 | − | 0.778615i | ||||
\(4\) | 2.09453 | + | 3.62783i | 1.04726 | + | 1.81392i | ||||
\(5\) | −1.86942 | + | 3.23792i | −0.836028 | + | 1.44804i | 0.0571623 | + | 0.998365i | \(0.481795\pi\) |
−0.893191 | + | 0.449678i | \(0.851539\pi\) | |||||||
\(6\) | 0.664120 | + | 4.25748i | 0.271126 | + | 1.73811i | ||||
\(7\) | 1.06496 | + | 2.42195i | 0.402519 | + | 0.915412i | ||||
\(8\) | − | 5.44590i | − | 1.92542i | ||||||
\(9\) | −0.637447 | + | 2.93149i | −0.212482 | + | 0.977165i | ||||
\(10\) | 8.05525 | − | 4.65070i | 2.54729 | − | 1.47068i | ||||
\(11\) | −1.36004 | + | 0.785219i | −0.410067 | + | 0.236753i | −0.690819 | − | 0.723028i | \(-0.742750\pi\) |
0.280751 | + | 0.959781i | \(0.409416\pi\) | |||||||
\(12\) | 2.61602 | − | 6.76765i | 0.755181 | − | 1.95365i | ||||
\(13\) | − | 2.25478i | − | 0.625364i | −0.949858 | − | 0.312682i | \(-0.898773\pi\) | ||
0.949858 | − | 0.312682i | \(-0.101227\pi\) | |||||||
\(14\) | 0.718197 | − | 6.54275i | 0.191946 | − | 1.74862i | ||||
\(15\) | 6.39847 | − | 0.998092i | 1.65208 | − | 0.257706i | ||||
\(16\) | −2.58505 | + | 4.47744i | −0.646262 | + | 1.11936i | ||||
\(17\) | 3.44922 | + | 5.97423i | 0.836560 | + | 1.44896i | 0.892754 | + | 0.450544i | \(0.148770\pi\) |
−0.0561948 | + | 0.998420i | \(0.517897\pi\) | |||||||
\(18\) | 5.01983 | − | 5.52294i | 1.18318 | − | 1.30177i | ||||
\(19\) | 1.08967 | + | 0.629120i | 0.249987 | + | 0.144330i | 0.619758 | − | 0.784793i | \(-0.287231\pi\) |
−0.369771 | + | 0.929123i | \(0.620564\pi\) | |||||||
\(20\) | −15.6622 | −3.50217 | ||||||||
\(21\) | 2.10877 | − | 4.06855i | 0.460172 | − | 0.887830i | ||||
\(22\) | 3.90691 | 0.832956 | ||||||||
\(23\) | 5.97351 | + | 3.44881i | 1.24556 | + | 0.719126i | 0.970221 | − | 0.242221i | \(-0.0778759\pi\) |
0.275341 | + | 0.961347i | \(0.411209\pi\) | |||||||
\(24\) | −7.34435 | + | 5.91896i | −1.49916 | + | 1.20820i | ||||
\(25\) | −4.48943 | − | 7.77592i | −0.897886 | − | 1.55518i | ||||
\(26\) | −2.80470 | + | 4.85789i | −0.550047 | + | 0.952710i | ||||
\(27\) | 4.64623 | − | 2.32648i | 0.894168 | − | 0.447731i | ||||
\(28\) | −6.55583 | + | 8.93636i | −1.23894 | + | 1.68881i | ||||
\(29\) | − | 7.15360i | − | 1.32839i | −0.747560 | − | 0.664195i | \(-0.768775\pi\) | ||
0.747560 | − | 0.664195i | \(-0.231225\pi\) | |||||||
\(30\) | −15.0269 | − | 5.80863i | −2.74353 | − | 1.06051i | ||||
\(31\) | −6.09696 | + | 3.52008i | −1.09505 | + | 0.632225i | −0.934915 | − | 0.354871i | \(-0.884525\pi\) |
−0.160131 | + | 0.987096i | \(0.551192\pi\) | |||||||
\(32\) | 1.70631 | − | 0.985137i | 0.301635 | − | 0.174149i | ||||
\(33\) | 2.53713 | + | 0.980723i | 0.441657 | + | 0.170722i | ||||
\(34\) | − | 17.1618i | − | 2.94323i | ||||||
\(35\) | −9.83296 | − | 1.07936i | −1.66207 | − | 0.182446i | ||||
\(36\) | −11.9701 | + | 3.82755i | −1.99502 | + | 0.637925i | ||||
\(37\) | −3.43680 | + | 5.95271i | −0.565007 | + | 0.978620i | 0.432042 | + | 0.901853i | \(0.357793\pi\) |
−0.997049 | + | 0.0767670i | \(0.975540\pi\) | |||||||
\(38\) | −1.56511 | − | 2.71086i | −0.253895 | − | 0.439759i | ||||
\(39\) | −3.04080 | + | 2.45064i | −0.486918 | + | 0.392417i | ||||
\(40\) | 17.6334 | + | 10.1807i | 2.78809 | + | 1.60970i | ||||
\(41\) | 1.00000 | 0.156174 | ||||||||
\(42\) | −9.60414 | + | 6.14253i | −1.48195 | + | 0.947813i | ||||
\(43\) | −4.61323 | −0.703511 | −0.351756 | − | 0.936092i | \(-0.614415\pi\) | ||||
−0.351756 | + | 0.936092i | \(0.614415\pi\) | |||||||
\(44\) | −5.69729 | − | 3.28933i | −0.858898 | − | 0.495885i | ||||
\(45\) | −8.30030 | − | 7.54419i | −1.23734 | − | 1.12462i | ||||
\(46\) | −8.57988 | − | 14.8608i | −1.26503 | − | 2.19110i | ||||
\(47\) | −4.01339 | + | 6.95139i | −0.585413 | + | 1.01396i | 0.409411 | + | 0.912350i | \(0.365734\pi\) |
−0.994824 | + | 0.101614i | \(0.967599\pi\) | |||||||
\(48\) | 8.84787 | − | 1.38017i | 1.27708 | − | 0.199211i | ||||
\(49\) | −4.73170 | + | 5.15858i | −0.675957 | + | 0.736941i | ||||
\(50\) | 22.3375i | 3.15899i | ||||||||
\(51\) | 4.30801 | − | 11.1448i | 0.603242 | − | 1.56059i | ||||
\(52\) | 8.17997 | − | 4.72271i | 1.13436 | − | 0.654922i | ||||
\(53\) | 3.90268 | − | 2.25322i | 0.536075 | − | 0.309503i | −0.207412 | − | 0.978254i | \(-0.566504\pi\) |
0.743487 | + | 0.668751i | \(0.233171\pi\) | |||||||
\(54\) | −12.9041 | − | 0.767050i | −1.75603 | − | 0.104382i | ||||
\(55\) | − | 5.87161i | − | 0.791727i | ||||||
\(56\) | 13.1897 | − | 5.79969i | 1.76255 | − | 0.775016i | ||||
\(57\) | −0.335891 | − | 2.15330i | −0.0444898 | − | 0.285211i | ||||
\(58\) | −8.89829 | + | 15.4123i | −1.16840 | + | 2.02373i | ||||
\(59\) | −2.56318 | − | 4.43956i | −0.333698 | − | 0.577982i | 0.649536 | − | 0.760331i | \(-0.274963\pi\) |
−0.983234 | + | 0.182349i | \(0.941630\pi\) | |||||||
\(60\) | 17.0227 | + | 21.1220i | 2.19762 | + | 2.72684i | ||||
\(61\) | 4.77305 | + | 2.75572i | 0.611127 | + | 0.352834i | 0.773406 | − | 0.633910i | \(-0.218551\pi\) |
−0.162279 | + | 0.986745i | \(0.551885\pi\) | |||||||
\(62\) | 17.5144 | 2.22433 | ||||||||
\(63\) | −7.77880 | + | 1.57807i | −0.980036 | + | 0.198818i | ||||
\(64\) | 5.43859 | 0.679823 | ||||||||
\(65\) | 7.30081 | + | 4.21513i | 0.905554 | + | 0.522822i | ||||
\(66\) | −4.24628 | − | 5.26886i | −0.522682 | − | 0.648552i | ||||
\(67\) | 3.40888 | + | 5.90435i | 0.416461 | + | 0.721331i | 0.995581 | − | 0.0939112i | \(-0.0299370\pi\) |
−0.579120 | + | 0.815242i | \(0.696604\pi\) | |||||||
\(68\) | −14.4490 | + | 25.0264i | −1.75220 | + | 3.03490i | ||||
\(69\) | −1.84134 | − | 11.8043i | −0.221671 | − | 1.42107i | ||||
\(70\) | 19.8423 | + | 14.5566i | 2.37161 | + | 1.73985i | ||||
\(71\) | 7.12407i | 0.845472i | 0.906253 | + | 0.422736i | \(0.138930\pi\) | ||||
−0.906253 | + | 0.422736i | \(0.861070\pi\) | |||||||
\(72\) | 15.9646 | + | 3.47147i | 1.88145 | + | 0.409117i | ||||
\(73\) | 2.63855 | − | 1.52337i | 0.308819 | − | 0.178297i | −0.337579 | − | 0.941297i | \(-0.609608\pi\) |
0.646398 | + | 0.763000i | \(0.276275\pi\) | |||||||
\(74\) | 14.8091 | − | 8.55001i | 1.72152 | − | 0.993919i | ||||
\(75\) | −5.60721 | + | 14.5058i | −0.647464 | + | 1.67499i | ||||
\(76\) | 5.27085i | 0.604607i | ||||||||
\(77\) | −3.35016 | − | 2.45772i | −0.381786 | − | 0.280083i | ||||
\(78\) | 9.59968 | − | 1.49745i | 1.08695 | − | 0.169552i | ||||
\(79\) | 7.18503 | − | 12.4448i | 0.808379 | − | 1.40015i | −0.105607 | − | 0.994408i | \(-0.533679\pi\) |
0.913986 | − | 0.405746i | \(-0.132988\pi\) | |||||||
\(80\) | −9.66506 | − | 16.7404i | −1.08059 | − | 1.87163i | ||||
\(81\) | −8.18732 | − | 3.73734i | −0.909703 | − | 0.415260i | ||||
\(82\) | −2.15448 | − | 1.24389i | −0.237923 | − | 0.137365i | ||||
\(83\) | −10.4985 | −1.15236 | −0.576180 | − | 0.817323i | \(-0.695457\pi\) | ||||
−0.576180 | + | 0.817323i | \(0.695457\pi\) | |||||||
\(84\) | 19.1769 | − | 0.871421i | 2.09237 | − | 0.0950798i | ||||
\(85\) | −25.7921 | −2.79755 | ||||||||
\(86\) | 9.93912 | + | 5.73836i | 1.07176 | + | 0.618783i | ||||
\(87\) | −9.64734 | + | 7.77500i | −1.03430 | + | 0.833567i | ||||
\(88\) | 4.27623 | + | 7.40664i | 0.455847 | + | 0.789551i | ||||
\(89\) | 3.12888 | − | 5.41938i | 0.331661 | − | 0.574454i | −0.651177 | − | 0.758926i | \(-0.725724\pi\) |
0.982838 | + | 0.184473i | \(0.0590577\pi\) | |||||||
\(90\) | 8.49871 | + | 26.5785i | 0.895843 | + | 2.80162i | ||||
\(91\) | 5.46097 | − | 2.40126i | 0.572466 | − | 0.251721i | ||||
\(92\) | 28.8945i | 3.01246i | ||||||||
\(93\) | 11.3738 | + | 4.39651i | 1.17940 | + | 0.455897i | ||||
\(94\) | 17.2935 | − | 9.98443i | 1.78369 | − | 1.02982i | ||||
\(95\) | −4.07409 | + | 2.35218i | −0.417993 | + | 0.241328i | ||||
\(96\) | −3.18308 | − | 1.23042i | −0.324872 | − | 0.125579i | ||||
\(97\) | 6.03979i | 0.613248i | 0.951831 | + | 0.306624i | \(0.0991994\pi\) | ||||
−0.951831 | + | 0.306624i | \(0.900801\pi\) | |||||||
\(98\) | 16.6111 | − | 5.22836i | 1.67797 | − | 0.528144i | ||||
\(99\) | −1.43491 | − | 4.48749i | −0.144214 | − | 0.451009i | ||||
\(100\) | 18.8065 | − | 32.5738i | 1.88065 | − | 3.25738i | ||||
\(101\) | −1.38002 | − | 2.39027i | −0.137318 | − | 0.237841i | 0.789163 | − | 0.614184i | \(-0.210515\pi\) |
−0.926480 | + | 0.376343i | \(0.877181\pi\) | |||||||
\(102\) | −23.1445 | + | 18.6526i | −2.29164 | + | 1.84688i | ||||
\(103\) | 8.20073 | + | 4.73469i | 0.808042 | + | 0.466523i | 0.846275 | − | 0.532746i | \(-0.178840\pi\) |
−0.0382336 | + | 0.999269i | \(0.512173\pi\) | |||||||
\(104\) | −12.2793 | −1.20409 | ||||||||
\(105\) | 9.23147 | + | 14.4339i | 0.900899 | + | 1.40860i | ||||
\(106\) | −11.2110 | −1.08891 | ||||||||
\(107\) | −10.5130 | − | 6.06971i | −1.01633 | − | 0.586781i | −0.103294 | − | 0.994651i | \(-0.532938\pi\) |
−0.913040 | + | 0.407870i | \(0.866272\pi\) | |||||||
\(108\) | 18.1718 | + | 11.9829i | 1.74858 | + | 1.15305i | ||||
\(109\) | −4.76283 | − | 8.24947i | −0.456197 | − | 0.790156i | 0.542559 | − | 0.840017i | \(-0.317455\pi\) |
−0.998756 | + | 0.0498614i | \(0.984122\pi\) | |||||||
\(110\) | −7.30364 | + | 12.6503i | −0.696375 | + | 1.20616i | ||||
\(111\) | 11.7632 | − | 1.83493i | 1.11651 | − | 0.174164i | ||||
\(112\) | −13.5971 | − | 1.49255i | −1.28481 | − | 0.141033i | ||||
\(113\) | − | 5.73108i | − | 0.539135i | −0.962981 | − | 0.269568i | \(-0.913119\pi\) | ||
0.962981 | − | 0.269568i | \(-0.0868807\pi\) | |||||||
\(114\) | −1.95480 | + | 5.05705i | −0.183083 | + | 0.473636i | ||||
\(115\) | −22.3339 | + | 12.8945i | −2.08265 | + | 1.20242i | ||||
\(116\) | 25.9520 | − | 14.9834i | 2.40959 | − | 1.39118i | ||||
\(117\) | 6.60988 | + | 1.43730i | 0.611084 | + | 0.132879i | ||||
\(118\) | 12.7533i | 1.17403i | ||||||||
\(119\) | −10.7960 | + | 14.7162i | −0.989668 | + | 1.34903i | ||||
\(120\) | −5.43551 | − | 34.8454i | −0.496192 | − | 3.18094i | ||||
\(121\) | −4.26686 | + | 7.39042i | −0.387896 | + | 0.671856i | ||||
\(122\) | −6.85564 | − | 11.8743i | −0.620681 | − | 1.07505i | ||||
\(123\) | −1.08687 | − | 1.34860i | −0.0979994 | − | 0.121599i | ||||
\(124\) | −25.5405 | − | 14.7458i | −2.29361 | − | 1.32421i | ||||
\(125\) | 14.8763 | 1.33058 | ||||||||
\(126\) | 18.7222 | + | 6.27605i | 1.66791 | + | 0.559115i | ||||
\(127\) | −15.5409 | −1.37903 | −0.689514 | − | 0.724272i | \(-0.742176\pi\) | ||||
−0.689514 | + | 0.724272i | \(0.742176\pi\) | |||||||
\(128\) | −15.1300 | − | 8.73528i | −1.33731 | − | 0.772097i | ||||
\(129\) | 5.01396 | + | 6.22141i | 0.441455 | + | 0.547764i | ||||
\(130\) | −10.4863 | − | 18.1628i | −0.919710 | − | 1.59299i | ||||
\(131\) | −8.45939 | + | 14.6521i | −0.739100 | + | 1.28016i | 0.213801 | + | 0.976877i | \(0.431416\pi\) |
−0.952901 | + | 0.303281i | \(0.901918\pi\) | |||||||
\(132\) | 1.75619 | + | 11.2584i | 0.152857 | + | 0.979920i | ||||
\(133\) | −0.363241 | + | 3.30912i | −0.0314970 | + | 0.286937i | ||||
\(134\) | − | 16.9611i | − | 1.46522i | ||||||
\(135\) | −1.15278 | + | 19.3933i | −0.0992158 | + | 1.66911i | ||||
\(136\) | 32.5351 | − | 18.7841i | 2.78986 | − | 1.61073i | ||||
\(137\) | 5.91289 | − | 3.41381i | 0.505172 | − | 0.291661i | −0.225675 | − | 0.974203i | \(-0.572459\pi\) |
0.730847 | + | 0.682541i | \(0.239125\pi\) | |||||||
\(138\) | −10.7161 | + | 27.7225i | −0.912214 | + | 2.35990i | ||||
\(139\) | 5.84608i | 0.495858i | 0.968778 | + | 0.247929i | \(0.0797500\pi\) | ||||
−0.968778 | + | 0.247929i | \(0.920250\pi\) | |||||||
\(140\) | −16.6797 | − | 37.9331i | −1.40969 | − | 3.20593i | ||||
\(141\) | 13.7367 | − | 2.14277i | 1.15684 | − | 0.180454i | ||||
\(142\) | 8.86157 | − | 15.3487i | 0.743646 | − | 1.28803i | ||||
\(143\) | 1.77050 | + | 3.06659i | 0.148057 | + | 0.256441i | ||||
\(144\) | −11.4777 | − | 10.4322i | −0.956479 | − | 0.869349i | ||||
\(145\) | 23.1628 | + | 13.3730i | 1.92357 | + | 1.11057i | ||||
\(146\) | −7.57962 | −0.627294 | ||||||||
\(147\) | 12.0996 | + | 0.774488i | 0.997958 | + | 0.0638787i | ||||
\(148\) | −28.7939 | −2.36685 | ||||||||
\(149\) | −10.9019 | − | 6.29419i | −0.893115 | − | 0.515640i | −0.0181549 | − | 0.999835i | \(-0.505779\pi\) |
−0.874960 | + | 0.484195i | \(0.839113\pi\) | |||||||
\(150\) | 30.1243 | − | 24.2778i | 2.45964 | − | 1.98227i | ||||
\(151\) | −8.95031 | − | 15.5024i | −0.728366 | − | 1.26157i | −0.957574 | − | 0.288189i | \(-0.906947\pi\) |
0.229208 | − | 0.973377i | \(-0.426386\pi\) | |||||||
\(152\) | 3.42613 | − | 5.93423i | 0.277896 | − | 0.481329i | ||||
\(153\) | −19.7121 | + | 6.30313i | −1.59363 | + | 0.509578i | ||||
\(154\) | 4.16072 | + | 9.46235i | 0.335280 | + | 0.762498i | ||||
\(155\) | − | 26.3220i | − | 2.11423i | ||||||
\(156\) | −15.2596 | − | 5.89856i | −1.22174 | − | 0.472263i | ||||
\(157\) | 10.1719 | − | 5.87274i | 0.811804 | − | 0.468696i | −0.0357777 | − | 0.999360i | \(-0.511391\pi\) |
0.847582 | + | 0.530664i | \(0.178057\pi\) | |||||||
\(158\) | −30.9600 | + | 17.8748i | −2.46305 | + | 1.42204i | ||||
\(159\) | −7.28038 | − | 2.81422i | −0.577372 | − | 0.223182i | ||||
\(160\) | 7.36652i | 0.582375i | ||||||||
\(161\) | −1.99127 | + | 18.1404i | −0.156934 | + | 1.42966i | ||||
\(162\) | 12.9906 | + | 18.2362i | 1.02064 | + | 1.43277i | ||||
\(163\) | −1.18169 | + | 2.04674i | −0.0925569 | + | 0.160313i | −0.908586 | − | 0.417697i | \(-0.862837\pi\) |
0.816029 | + | 0.578010i | \(0.196171\pi\) | |||||||
\(164\) | 2.09453 | + | 3.62783i | 0.163555 | + | 0.283286i | ||||
\(165\) | −7.91845 | + | 6.38165i | −0.616451 | + | 0.496810i | ||||
\(166\) | 22.6188 | + | 13.0590i | 1.75556 | + | 1.01357i | ||||
\(167\) | −14.4062 | −1.11478 | −0.557391 | − | 0.830250i | \(-0.688198\pi\) | ||||
−0.557391 | + | 0.830250i | \(0.688198\pi\) | |||||||
\(168\) | −22.1569 | − | 11.4842i | −1.70944 | − | 0.886023i | ||||
\(169\) | 7.91596 | 0.608920 | ||||||||
\(170\) | 55.5687 | + | 32.0826i | 4.26192 | + | 2.46062i | ||||
\(171\) | −2.53887 | + | 2.79333i | −0.194152 | + | 0.213611i | ||||
\(172\) | −9.66255 | − | 16.7360i | −0.736762 | − | 1.27611i | ||||
\(173\) | 0.192354 | − | 0.333167i | 0.0146244 | − | 0.0253302i | −0.858621 | − | 0.512612i | \(-0.828678\pi\) |
0.873245 | + | 0.487281i | \(0.162011\pi\) | |||||||
\(174\) | 30.4563 | − | 4.75085i | 2.30888 | − | 0.360161i | ||||
\(175\) | 14.0518 | − | 19.1543i | 1.06222 | − | 1.44793i | ||||
\(176\) | − | 8.11932i | − | 0.612017i | ||||||
\(177\) | −3.20136 | + | 8.28192i | −0.240629 | + | 0.622507i | ||||
\(178\) | −13.4822 | + | 7.78398i | −1.01054 | + | 0.583434i | ||||
\(179\) | −6.86648 | + | 3.96436i | −0.513225 | + | 0.296310i | −0.734158 | − | 0.678979i | \(-0.762423\pi\) |
0.220934 | + | 0.975289i | \(0.429090\pi\) | |||||||
\(180\) | 9.98381 | − | 45.9136i | 0.744149 | − | 3.42220i | ||||
\(181\) | 3.35125i | 0.249096i | 0.992214 | + | 0.124548i | \(0.0397482\pi\) | ||||
−0.992214 | + | 0.124548i | \(0.960252\pi\) | |||||||
\(182\) | −14.7525 | − | 1.61938i | −1.09353 | − | 0.120036i | ||||
\(183\) | −1.47130 | − | 9.43205i | −0.108761 | − | 0.697237i | ||||
\(184\) | 18.7819 | − | 32.5311i | 1.38462 | − | 2.39823i | ||||
\(185\) | −12.8496 | − | 22.2562i | −0.944723 | − | 1.63631i | ||||
\(186\) | −19.0358 | − | 23.6199i | −1.39577 | − | 1.73190i | ||||
\(187\) | −9.38216 | − | 5.41679i | −0.686092 | − | 0.396115i | ||||
\(188\) | −33.6246 | −2.45233 | ||||||||
\(189\) | 10.5827 | + | 8.77534i | 0.769778 | + | 0.638312i | ||||
\(190\) | 11.7034 | 0.849054 | ||||||||
\(191\) | −23.0068 | − | 13.2830i | −1.66471 | − | 0.961122i | −0.970418 | − | 0.241430i | \(-0.922384\pi\) |
−0.694293 | − | 0.719692i | \(-0.744283\pi\) | |||||||
\(192\) | −5.91101 | − | 7.33448i | −0.426590 | − | 0.529320i | ||||
\(193\) | −2.20151 | − | 3.81313i | −0.158468 | − | 0.274475i | 0.775848 | − | 0.630920i | \(-0.217322\pi\) |
−0.934317 | + | 0.356444i | \(0.883989\pi\) | |||||||
\(194\) | 7.51284 | − | 13.0126i | 0.539391 | − | 0.934252i | ||||
\(195\) | −2.25048 | − | 14.4272i | −0.161160 | − | 1.03315i | ||||
\(196\) | −28.6252 | − | 6.36101i | −2.04465 | − | 0.454358i | ||||
\(197\) | − | 5.42084i | − | 0.386219i | −0.981177 | − | 0.193110i | \(-0.938143\pi\) | ||
0.981177 | − | 0.193110i | \(-0.0618573\pi\) | |||||||
\(198\) | −2.49045 | + | 11.4531i | −0.176988 | + | 0.813935i | ||||
\(199\) | 10.2785 | − | 5.93430i | 0.728624 | − | 0.420671i | −0.0892948 | − | 0.996005i | \(-0.528461\pi\) |
0.817918 | + | 0.575334i | \(0.195128\pi\) | |||||||
\(200\) | −42.3469 | + | 24.4490i | −2.99438 | + | 1.72881i | ||||
\(201\) | 4.25762 | − | 11.0145i | 0.300309 | − | 0.776900i | ||||
\(202\) | 6.86640i | 0.483118i | ||||||||
\(203\) | 17.3257 | − | 7.61833i | 1.21602 | − | 0.534702i | ||||
\(204\) | 49.4547 | − | 7.71440i | 3.46252 | − | 0.540116i | ||||
\(205\) | −1.86942 | + | 3.23792i | −0.130566 | + | 0.226146i | ||||
\(206\) | −11.7789 | − | 20.4016i | −0.820674 | − | 1.42145i | ||||
\(207\) | −13.9179 | + | 15.3129i | −0.967364 | + | 1.06432i | ||||
\(208\) | 10.0956 | + | 5.82872i | 0.700007 | + | 0.404149i | ||||
\(209\) | −1.97599 | −0.136682 | ||||||||
\(210\) | −1.93491 | − | 42.5804i | −0.133521 | − | 2.93833i | ||||
\(211\) | 2.99103 | 0.205911 | 0.102956 | − | 0.994686i | \(-0.467170\pi\) | ||||
0.102956 | + | 0.994686i | \(0.467170\pi\) | |||||||
\(212\) | 16.3486 | + | 9.43885i | 1.12282 | + | 0.648263i | ||||
\(213\) | 9.60753 | − | 7.74291i | 0.658297 | − | 0.530535i | ||||
\(214\) | 15.1001 | + | 26.1542i | 1.03222 | + | 1.78786i | ||||
\(215\) | 8.62405 | − | 14.9373i | 0.588155 | − | 1.01871i | ||||
\(216\) | −12.6698 | − | 25.3029i | −0.862069 | − | 1.72165i | ||||
\(217\) | −15.0185 | − | 11.0178i | −1.01952 | − | 0.747936i | ||||
\(218\) | 23.6978i | 1.60502i | ||||||||
\(219\) | −4.92217 | − | 1.90266i | −0.332609 | − | 0.128570i | ||||
\(220\) | 21.3012 | − | 12.2983i | 1.43613 | − | 0.829148i | ||||
\(221\) | 13.4706 | − | 7.77725i | 0.906130 | − | 0.523154i | ||||
\(222\) | −27.6260 | − | 10.6788i | −1.85414 | − | 0.716713i | ||||
\(223\) | 20.4103i | 1.36677i | 0.730057 | + | 0.683387i | \(0.239494\pi\) | ||||
−0.730057 | + | 0.683387i | \(0.760506\pi\) | |||||||
\(224\) | 4.20311 | + | 3.08346i | 0.280832 | + | 0.206022i | ||||
\(225\) | 25.6569 | − | 8.20401i | 1.71046 | − | 0.546934i | ||||
\(226\) | −7.12884 | + | 12.3475i | −0.474204 | + | 0.821345i | ||||
\(227\) | 6.41950 | + | 11.1189i | 0.426077 | + | 0.737987i | 0.996520 | − | 0.0833497i | \(-0.0265619\pi\) |
−0.570443 | + | 0.821337i | \(0.693229\pi\) | |||||||
\(228\) | 7.10826 | − | 5.72870i | 0.470756 | − | 0.379392i | ||||
\(229\) | −7.89284 | − | 4.55693i | −0.521574 | − | 0.301131i | 0.216005 | − | 0.976392i | \(-0.430697\pi\) |
−0.737578 | + | 0.675262i | \(0.764031\pi\) | |||||||
\(230\) | 64.1574 | 4.23042 | ||||||||
\(231\) | 0.326688 | + | 7.18924i | 0.0214945 | + | 0.473017i | ||||
\(232\) | −38.9578 | −2.55770 | ||||||||
\(233\) | 24.7111 | + | 14.2669i | 1.61887 | + | 0.934658i | 0.987212 | + | 0.159415i | \(0.0509607\pi\) |
0.631663 | + | 0.775243i | \(0.282373\pi\) | |||||||
\(234\) | −12.4530 | − | 11.3186i | −0.814080 | − | 0.739921i | ||||
\(235\) | −15.0054 | − | 25.9901i | −0.978843 | − | 1.69541i | ||||
\(236\) | 10.7373 | − | 18.5976i | 0.698941 | − | 1.21060i | ||||
\(237\) | −24.5923 | + | 3.83613i | −1.59744 | + | 0.249183i | ||||
\(238\) | 41.5651 | − | 18.2767i | 2.69427 | − | 1.18471i | ||||
\(239\) | − | 7.82909i | − | 0.506422i | −0.967411 | − | 0.253211i | \(-0.918513\pi\) | ||
0.967411 | − | 0.253211i | \(-0.0814866\pi\) | |||||||
\(240\) | −12.0715 | + | 31.2289i | −0.779210 | + | 2.01581i | ||||
\(241\) | −16.3837 | + | 9.45912i | −1.05537 | + | 0.609316i | −0.924147 | − | 0.382038i | \(-0.875222\pi\) |
−0.131219 | + | 0.991353i | \(0.541889\pi\) | |||||||
\(242\) | 18.3858 | − | 10.6150i | 1.18188 | − | 0.682359i | ||||
\(243\) | 3.85833 | + | 15.1034i | 0.247512 | + | 0.968885i | ||||
\(244\) | 23.0878i | 1.47804i | ||||||||
\(245\) | −7.85758 | − | 24.9644i | −0.502003 | − | 1.59492i | ||||
\(246\) | 0.664120 | + | 4.25748i | 0.0423428 | + | 0.271447i | ||||
\(247\) | 1.41853 | − | 2.45696i | 0.0902589 | − | 0.156333i | ||||
\(248\) | 19.1700 | + | 33.2034i | 1.21730 | + | 2.10842i | ||||
\(249\) | 11.4105 | + | 14.1583i | 0.723108 | + | 0.897244i | ||||
\(250\) | −32.0507 | − | 18.5045i | −2.02707 | − | 1.17033i | ||||
\(251\) | 13.4609 | 0.849643 | 0.424822 | − | 0.905277i | \(-0.360337\pi\) | ||||
0.424822 | + | 0.905277i | \(0.360337\pi\) | |||||||
\(252\) | −22.0179 | − | 24.9148i | −1.38700 | − | 1.56949i | ||||
\(253\) | −10.8323 | −0.681019 | ||||||||
\(254\) | 33.4825 | + | 19.3311i | 2.10088 | + | 1.21294i | ||||
\(255\) | 28.0326 | + | 34.7833i | 1.75547 | + | 2.17821i | ||||
\(256\) | 16.2929 | + | 28.2201i | 1.01831 | + | 1.76376i | ||||
\(257\) | −10.4593 | + | 18.1160i | −0.652432 | + | 1.13005i | 0.330099 | + | 0.943946i | \(0.392918\pi\) |
−0.982531 | + | 0.186099i | \(0.940415\pi\) | |||||||
\(258\) | −3.06374 | − | 19.6407i | −0.190740 | − | 1.22278i | ||||
\(259\) | −18.0773 | − | 1.98434i | −1.12327 | − | 0.123301i | ||||
\(260\) | 35.3148i | 2.19013i | ||||||||
\(261\) | 20.9707 | + | 4.56004i | 1.29806 | + | 0.282259i | ||||
\(262\) | 36.4512 | − | 21.0451i | 2.25196 | − | 1.30017i | ||||
\(263\) | 15.3023 | − | 8.83480i | 0.943581 | − | 0.544777i | 0.0525002 | − | 0.998621i | \(-0.483281\pi\) |
0.891081 | + | 0.453844i | \(0.149948\pi\) | |||||||
\(264\) | 5.34092 | − | 13.8169i | 0.328711 | − | 0.850374i | ||||
\(265\) | 16.8488i | 1.03501i | ||||||||
\(266\) | 4.89878 | − | 6.67760i | 0.300363 | − | 0.409430i | ||||
\(267\) | −10.7093 | + | 1.67053i | −0.655396 | + | 0.102235i | ||||
\(268\) | −14.2800 | + | 24.7337i | −0.872290 | + | 1.51085i | ||||
\(269\) | −3.88209 | − | 6.72397i | −0.236695 | − | 0.409968i | 0.723069 | − | 0.690776i | \(-0.242731\pi\) |
−0.959764 | + | 0.280808i | \(0.909398\pi\) | |||||||
\(270\) | 26.6068 | − | 40.3486i | 1.61924 | − | 2.45554i | ||||
\(271\) | −8.70167 | − | 5.02391i | −0.528589 | − | 0.305181i | 0.211853 | − | 0.977302i | \(-0.432050\pi\) |
−0.740442 | + | 0.672121i | \(0.765384\pi\) | |||||||
\(272\) | −35.6656 | −2.16255 | ||||||||
\(273\) | −9.17369 | − | 4.75482i | −0.555217 | − | 0.287775i | ||||
\(274\) | −16.9856 | −1.02614 | ||||||||
\(275\) | 12.2116 | + | 7.05038i | 0.736388 | + | 0.425154i | ||||
\(276\) | 38.9671 | − | 31.4044i | 2.34555 | − | 1.89032i | ||||
\(277\) | 13.7226 | + | 23.7682i | 0.824509 | + | 1.42809i | 0.902294 | + | 0.431121i | \(0.141882\pi\) |
−0.0777852 | + | 0.996970i | \(0.524785\pi\) | |||||||
\(278\) | 7.27189 | − | 12.5953i | 0.436139 | − | 0.755415i | ||||
\(279\) | −6.43261 | − | 20.1171i | −0.385110 | − | 1.20438i | ||||
\(280\) | −5.87810 | + | 53.5493i | −0.351284 | + | 3.20018i | ||||
\(281\) | − | 5.91936i | − | 0.353120i | −0.984290 | − | 0.176560i | \(-0.943503\pi\) | ||
0.984290 | − | 0.176560i | \(-0.0564969\pi\) | |||||||
\(282\) | −32.2608 | − | 12.4703i | −1.92110 | − | 0.742598i | ||||
\(283\) | −15.9349 | + | 9.20000i | −0.947229 | + | 0.546883i | −0.892219 | − | 0.451603i | \(-0.850852\pi\) |
−0.0550101 | + | 0.998486i | \(0.517519\pi\) | |||||||
\(284\) | −25.8449 | + | 14.9216i | −1.53361 | + | 0.885433i | ||||
\(285\) | 7.60013 | + | 2.93782i | 0.450193 | + | 0.174021i | ||||
\(286\) | − | 8.80923i | − | 0.520901i | ||||||
\(287\) | 1.06496 | + | 2.42195i | 0.0628629 | + | 0.142963i | ||||
\(288\) | 1.80024 | + | 5.63000i | 0.106080 | + | 0.331751i | ||||
\(289\) | −15.2943 | + | 26.4905i | −0.899664 | + | 1.55826i | ||||
\(290\) | −33.2692 | − | 57.6240i | −1.95364 | − | 3.38380i | ||||
\(291\) | 8.14527 | − | 6.56444i | 0.477484 | − | 0.384814i | ||||
\(292\) | 11.0531 | + | 6.38148i | 0.646831 | + | 0.373448i | ||||
\(293\) | 30.1443 | 1.76105 | 0.880525 | − | 0.474000i | \(-0.157190\pi\) | ||||
0.880525 | + | 0.474000i | \(0.157190\pi\) | |||||||
\(294\) | −25.1050 | − | 16.7192i | −1.46415 | − | 0.975083i | ||||
\(295\) | 19.1666 | 1.11592 | ||||||||
\(296\) | 32.4179 | + | 18.7165i | 1.88425 | + | 1.08787i | ||||
\(297\) | −4.49227 | + | 6.81242i | −0.260668 | + | 0.395297i | ||||
\(298\) | 15.6586 | + | 27.1214i | 0.907077 | + | 1.57110i | ||||
\(299\) | 7.77630 | − | 13.4690i | 0.449715 | − | 0.778930i | ||||
\(300\) | −64.3692 | + | 10.0409i | −3.71636 | + | 0.579711i | ||||
\(301\) | −4.91293 | − | 11.1730i | −0.283176 | − | 0.644002i | ||||
\(302\) | 44.5328i | 2.56258i | ||||||||
\(303\) | −1.72362 | + | 4.45901i | −0.0990195 | + | 0.256163i | ||||
\(304\) | −5.63369 | + | 3.25261i | −0.323114 | + | 0.186550i | ||||
\(305\) | −17.8456 | + | 10.3032i | −1.02184 | + | 0.589959i | ||||
\(306\) | 50.3098 | + | 10.9398i | 2.87602 | + | 0.625384i | ||||
\(307\) | − | 32.6159i | − | 1.86149i | −0.365670 | − | 0.930744i | \(-0.619160\pi\) | ||
0.365670 | − | 0.930744i | \(-0.380840\pi\) | |||||||
\(308\) | 1.89919 | − | 17.3016i | 0.108216 | − | 0.985849i | ||||
\(309\) | −2.52788 | − | 16.2055i | −0.143806 | − | 0.921898i | ||||
\(310\) | −32.7417 | + | 56.7102i | −1.85960 | + | 3.22092i | ||||
\(311\) | 1.30324 | + | 2.25728i | 0.0739001 | + | 0.127999i | 0.900607 | − | 0.434633i | \(-0.143122\pi\) |
−0.826707 | + | 0.562632i | \(0.809789\pi\) | |||||||
\(312\) | 13.3460 | + | 16.5599i | 0.755567 | + | 0.937520i | ||||
\(313\) | −1.70807 | − | 0.986156i | −0.0965460 | − | 0.0557408i | 0.450950 | − | 0.892549i | \(-0.351085\pi\) |
−0.547496 | + | 0.836809i | \(0.684419\pi\) | |||||||
\(314\) | −29.2202 | −1.64899 | ||||||||
\(315\) | 9.43213 | − | 28.1372i | 0.531440 | − | 1.58535i | ||||
\(316\) | 60.1970 | 3.38635 | ||||||||
\(317\) | −11.8831 | − | 6.86071i | −0.667421 | − | 0.385336i | 0.127678 | − | 0.991816i | \(-0.459248\pi\) |
−0.795099 | + | 0.606480i | \(0.792581\pi\) | |||||||
\(318\) | 12.1849 | + | 15.1192i | 0.683293 | + | 0.847842i | ||||
\(319\) | 5.61714 | + | 9.72918i | 0.314500 | + | 0.544729i | ||||
\(320\) | −10.1670 | + | 17.6097i | −0.568351 | + | 0.984413i | ||||
\(321\) | 3.24065 | + | 20.7749i | 0.180876 | + | 1.15954i | ||||
\(322\) | 26.8548 | − | 36.6063i | 1.49656 | − | 2.03999i | ||||
\(323\) | 8.67991i | 0.482963i | ||||||||
\(324\) | −3.59013 | − | 37.5302i | −0.199452 | − | 2.08501i | ||||
\(325\) | −17.5330 | + | 10.1227i | −0.972556 | + | 0.561506i | ||||
\(326\) | 5.09185 | − | 2.93978i | 0.282012 | − | 0.162819i | ||||
\(327\) | −5.94868 | + | 15.3892i | −0.328963 | + | 0.851026i | ||||
\(328\) | − | 5.44590i | − | 0.300700i | ||||||
\(329\) | −21.1100 | − | 2.31725i | −1.16383 | − | 0.127754i | ||||
\(330\) | 24.9982 | − | 3.89945i | 1.37611 | − | 0.214658i | ||||
\(331\) | 2.68189 | − | 4.64517i | 0.147410 | − | 0.255322i | −0.782859 | − | 0.622199i | \(-0.786240\pi\) |
0.930270 | + | 0.366877i | \(0.119573\pi\) | |||||||
\(332\) | −21.9894 | − | 38.0868i | −1.20683 | − | 2.09028i | ||||
\(333\) | −15.2596 | − | 13.8695i | −0.836220 | − | 0.760044i | ||||
\(334\) | 31.0378 | + | 17.9197i | 1.69831 | + | 0.980522i | ||||
\(335\) | −25.4904 | −1.39269 | ||||||||
\(336\) | 12.7654 | + | 19.9593i | 0.696409 | + | 1.08887i | ||||
\(337\) | −23.5159 | −1.28099 | −0.640496 | − | 0.767962i | \(-0.721271\pi\) | ||||
−0.640496 | + | 0.767962i | \(0.721271\pi\) | |||||||
\(338\) | −17.0548 | − | 9.84659i | −0.927658 | − | 0.535584i | ||||
\(339\) | −7.72894 | + | 6.22892i | −0.419779 | + | 0.338308i | ||||
\(340\) | −54.0224 | − | 93.5695i | −2.92978 | − | 5.07452i | ||||
\(341\) | 5.52807 | − | 9.57490i | 0.299362 | − | 0.518510i | ||||
\(342\) | 8.94454 | − | 2.86010i | 0.483665 | − | 0.154656i | ||||
\(343\) | −17.5329 | − | 5.96624i | −0.946690 | − | 0.322147i | ||||
\(344\) | 25.1232i | 1.35455i | ||||||||
\(345\) | 41.6635 | + | 16.1050i | 2.24309 | + | 0.867062i | ||||
\(346\) | −0.828846 | + | 0.478534i | −0.0445590 | + | 0.0257262i | ||||
\(347\) | 17.5365 | − | 10.1247i | 0.941409 | − | 0.543523i | 0.0510070 | − | 0.998698i | \(-0.483757\pi\) |
0.890402 | + | 0.455176i | \(0.150424\pi\) | |||||||
\(348\) | −48.4130 | − | 18.7140i | −2.59521 | − | 1.00317i | ||||
\(349\) | 5.71391i | 0.305859i | 0.988237 | + | 0.152929i | \(0.0488707\pi\) | ||||
−0.988237 | + | 0.152929i | \(0.951129\pi\) | |||||||
\(350\) | −54.1002 | + | 23.7886i | −2.89178 | + | 1.27155i | ||||
\(351\) | −5.24570 | − | 10.4762i | −0.279995 | − | 0.559181i | ||||
\(352\) | −1.54710 | + | 2.67965i | −0.0824605 | + | 0.142826i | ||||
\(353\) | 10.0246 | + | 17.3631i | 0.533557 | + | 0.924147i | 0.999232 | + | 0.0391913i | \(0.0124782\pi\) |
−0.465675 | + | 0.884956i | \(0.654188\pi\) | |||||||
\(354\) | 17.1991 | − | 13.8611i | 0.914121 | − | 0.736709i | ||||
\(355\) | −23.0672 | − | 13.3179i | −1.22428 | − | 0.706838i | ||||
\(356\) | 26.2142 | 1.38935 | ||||||||
\(357\) | 31.5801 | − | 1.43504i | 1.67139 | − | 0.0759502i | ||||
\(358\) | 19.7249 | 1.04250 | ||||||||
\(359\) | −24.5405 | − | 14.1685i | −1.29520 | − | 0.747783i | −0.315628 | − | 0.948883i | \(-0.602215\pi\) |
−0.979571 | + | 0.201100i | \(0.935548\pi\) | |||||||
\(360\) | −41.0849 | + | 45.2026i | −2.16536 | + | 2.38239i | ||||
\(361\) | −8.70842 | − | 15.0834i | −0.458338 | − | 0.793864i | ||||
\(362\) | 4.16859 | − | 7.22021i | 0.219096 | − | 0.379486i | ||||
\(363\) | 14.6042 | − | 2.27810i | 0.766523 | − | 0.119569i | ||||
\(364\) | 20.1495 | + | 14.7820i | 1.05612 | + | 0.774786i | ||||
\(365\) | 11.3912i | 0.596245i | ||||||||
\(366\) | −8.56255 | + | 22.1513i | −0.447572 | + | 1.15787i | ||||
\(367\) | −0.845514 | + | 0.488158i | −0.0441355 | + | 0.0254816i | −0.521905 | − | 0.853003i | \(-0.674779\pi\) |
0.477770 | + | 0.878485i | \(0.341445\pi\) | |||||||
\(368\) | −30.8836 | + | 17.8307i | −1.60992 | + | 0.929488i | ||||
\(369\) | −0.637447 | + | 2.93149i | −0.0331842 | + | 0.152608i | ||||
\(370\) | 63.9341i | 3.32378i | ||||||||
\(371\) | 9.61340 | + | 7.05252i | 0.499103 | + | 0.366148i | ||||
\(372\) | 7.87288 | + | 50.4707i | 0.408190 | + | 2.61678i | ||||
\(373\) | 4.52737 | − | 7.84164i | 0.234419 | − | 0.406025i | −0.724685 | − | 0.689080i | \(-0.758015\pi\) |
0.959104 | + | 0.283055i | \(0.0913481\pi\) | |||||||
\(374\) | 13.4758 | + | 23.3408i | 0.696817 | + | 1.20692i | ||||
\(375\) | −16.1685 | − | 20.0622i | −0.834940 | − | 1.03601i | ||||
\(376\) | 37.8566 | + | 21.8565i | 1.95230 | + | 1.12716i | ||||
\(377\) | −16.1298 | −0.830727 | ||||||||
\(378\) | −11.8847 | − | 32.0700i | −0.611281 | − | 1.64950i | ||||
\(379\) | 6.74593 | 0.346515 | 0.173258 | − | 0.984877i | \(-0.444571\pi\) | ||||
0.173258 | + | 0.984877i | \(0.444571\pi\) | |||||||
\(380\) | −17.0666 | − | 9.85340i | −0.875498 | − | 0.505469i | ||||
\(381\) | 16.8908 | + | 20.9584i | 0.865343 | + | 1.07373i | ||||
\(382\) | 33.0451 | + | 57.2358i | 1.69074 | + | 2.92844i | ||||
\(383\) | −15.0152 | + | 26.0071i | −0.767242 | + | 1.32890i | 0.171811 | + | 0.985130i | \(0.445038\pi\) |
−0.939053 | + | 0.343772i | \(0.888295\pi\) | |||||||
\(384\) | 4.66382 | + | 29.8983i | 0.237999 | + | 1.52574i | ||||
\(385\) | 14.2207 | − | 6.25305i | 0.724756 | − | 0.318685i | ||||
\(386\) | 10.9538i | 0.557532i | ||||||||
\(387\) | 2.94069 | − | 13.5237i | 0.149484 | − | 0.687446i | ||||
\(388\) | −21.9113 | + | 12.6505i | −1.11238 | + | 0.642233i | ||||
\(389\) | 0.346881 | − | 0.200272i | 0.0175876 | − | 0.0101542i | −0.491180 | − | 0.871058i | \(-0.663434\pi\) |
0.508768 | + | 0.860904i | \(0.330101\pi\) | |||||||
\(390\) | −13.0972 | + | 33.8824i | −0.663202 | + | 1.71570i | ||||
\(391\) | 47.5828i | 2.40637i | ||||||||
\(392\) | 28.0931 | + | 25.7684i | 1.41892 | + | 1.30150i | ||||
\(393\) | 28.9540 | − | 4.51651i | 1.46054 | − | 0.227828i | ||||
\(394\) | −6.74294 | + | 11.6791i | −0.339704 | + | 0.588385i | ||||
\(395\) | 26.8636 | + | 46.5291i | 1.35166 | + | 2.34114i | ||||
\(396\) | 13.2744 | − | 14.6048i | 0.667062 | − | 0.733919i | ||||
\(397\) | −14.2812 | − | 8.24528i | −0.716755 | − | 0.413818i | 0.0968024 | − | 0.995304i | \(-0.469139\pi\) |
−0.813557 | + | 0.581485i | \(0.802472\pi\) | |||||||
\(398\) | −29.5265 | −1.48003 | ||||||||
\(399\) | 4.85747 | − | 3.10670i | 0.243178 | − | 0.155529i | ||||
\(400\) | 46.4216 | 2.32108 | ||||||||
\(401\) | 2.79132 | + | 1.61157i | 0.139392 | + | 0.0804779i | 0.568074 | − | 0.822977i | \(-0.307689\pi\) |
−0.428682 | + | 0.903455i | \(0.641022\pi\) | |||||||
\(402\) | −22.8737 | + | 18.4344i | −1.14084 | + | 0.919426i | ||||
\(403\) | 7.93701 | + | 13.7473i | 0.395371 | + | 0.684802i | ||||
\(404\) | 5.78100 | − | 10.0130i | 0.287616 | − | 0.498165i | ||||
\(405\) | 27.4067 | − | 19.5233i | 1.36185 | − | 0.970119i | ||||
\(406\) | −46.8042 | − | 5.13769i | −2.32285 | − | 0.254979i | ||||
\(407\) | − | 10.7946i | − | 0.535067i | ||||||
\(408\) | −60.6935 | − | 23.4610i | −3.00478 | − | 1.16149i | ||||
\(409\) | 24.4255 | − | 14.1021i | 1.20776 | − | 0.697302i | 0.245493 | − | 0.969398i | \(-0.421050\pi\) |
0.962270 | + | 0.272096i | \(0.0877169\pi\) | |||||||
\(410\) | 8.05525 | − | 4.65070i | 0.397820 | − | 0.229682i | ||||
\(411\) | −11.0304 | − | 4.26377i | −0.544088 | − | 0.210316i | ||||
\(412\) | 39.6678i | 1.95429i | ||||||||
\(413\) | 8.02271 | − | 10.9359i | 0.394772 | − | 0.538120i | ||||
\(414\) | 49.0335 | − | 15.6789i | 2.40987 | − | 0.770576i | ||||
\(415\) | 19.6261 | − | 33.9933i | 0.963405 | − | 1.66867i | ||||
\(416\) | −2.22127 | − | 3.84735i | −0.108907 | − | 0.188632i | ||||
\(417\) | 7.88403 | − | 6.35390i | 0.386082 | − | 0.311152i | ||||
\(418\) | 4.25724 | + | 2.45792i | 0.208228 | + | 0.120221i | ||||
\(419\) | 12.0366 | 0.588026 | 0.294013 | − | 0.955801i | \(-0.405009\pi\) | ||||
0.294013 | + | 0.955801i | \(0.405009\pi\) | |||||||
\(420\) | −33.0280 | + | 63.7224i | −1.61160 | + | 3.10933i | ||||
\(421\) | −9.93068 | −0.483992 | −0.241996 | − | 0.970277i | \(-0.577802\pi\) | ||||
−0.241996 | + | 0.970277i | \(0.577802\pi\) | |||||||
\(422\) | −6.44413 | − | 3.72052i | −0.313695 | − | 0.181112i | ||||
\(423\) | −17.8196 | − | 16.1964i | −0.866420 | − | 0.787494i | ||||
\(424\) | −12.2708 | − | 21.2536i | −0.595922 | − | 1.03217i | ||||
\(425\) | 30.9701 | − | 53.6418i | 1.50227 | − | 2.60201i | ||||
\(426\) | −30.3306 | + | 4.73124i | −1.46952 | + | 0.229229i | ||||
\(427\) | −1.59110 | + | 14.4949i | −0.0769987 | + | 0.701455i | ||||
\(428\) | − | 50.8527i | − | 2.45806i | ||||||
\(429\) | 2.21132 | − | 5.72067i | 0.106763 | − | 0.276197i | ||||
\(430\) | −37.1607 | + | 21.4547i | −1.79205 | + | 1.03464i | ||||
\(431\) | −6.25266 | + | 3.60998i | −0.301180 | + | 0.173886i | −0.642973 | − | 0.765889i | \(-0.722299\pi\) |
0.341793 | + | 0.939775i | \(0.388966\pi\) | |||||||
\(432\) | −1.59408 | + | 26.8173i | −0.0766953 | + | 1.29025i | ||||
\(433\) | − | 17.6079i | − | 0.846184i | −0.906087 | − | 0.423092i | \(-0.860945\pi\) | ||
0.906087 | − | 0.423092i | \(-0.139055\pi\) | |||||||
\(434\) | 18.6522 | + | 42.4190i | 0.895334 | + | 2.03618i | ||||
\(435\) | −7.13995 | − | 45.7721i | −0.342334 | − | 2.19460i | ||||
\(436\) | 19.9518 | − | 34.5575i | 0.955518 | − | 1.65501i | ||||
\(437\) | 4.33943 | + | 7.51611i | 0.207583 | + | 0.359544i | ||||
\(438\) | 8.23803 | + | 10.2219i | 0.393628 | + | 0.488420i | ||||
\(439\) | −21.1988 | − | 12.2391i | −1.01176 | − | 0.584142i | −0.100056 | − | 0.994982i | \(-0.531902\pi\) |
−0.911707 | + | 0.410840i | \(0.865235\pi\) | |||||||
\(440\) | −31.9762 | −1.52441 | ||||||||
\(441\) | −12.1062 | − | 17.1593i | −0.576484 | − | 0.817109i | ||||
\(442\) | −38.6962 | −1.84059 | ||||||||
\(443\) | 9.19705 | + | 5.30992i | 0.436965 | + | 0.252282i | 0.702309 | − | 0.711872i | \(-0.252152\pi\) |
−0.265344 | + | 0.964154i | \(0.585486\pi\) | |||||||
\(444\) | 31.2951 | + | 38.8315i | 1.48520 | + | 1.84286i | ||||
\(445\) | 11.6984 | + | 20.2622i | 0.554556 | + | 0.960519i | ||||
\(446\) | 25.3882 | − | 43.9736i | 1.20216 | − | 2.08221i | ||||
\(447\) | 3.36050 | + | 21.5432i | 0.158946 | + | 1.01896i | ||||
\(448\) | 5.79190 | + | 13.1720i | 0.273642 | + | 0.622318i | ||||
\(449\) | − | 1.01474i | − | 0.0478887i | −0.999713 | − | 0.0239444i | \(-0.992378\pi\) | ||
0.999713 | − | 0.0239444i | \(-0.00762246\pi\) | |||||||
\(450\) | −65.4821 | − | 14.2389i | −3.08686 | − | 0.671230i | ||||
\(451\) | −1.36004 | + | 0.785219i | −0.0640418 | + | 0.0369745i | ||||
\(452\) | 20.7914 | − | 12.0039i | 0.977946 | − | 0.564617i | ||||
\(453\) | −11.1787 | + | 28.9194i | −0.525223 | + | 1.35875i | ||||
\(454\) | − | 31.9406i | − | 1.49905i | ||||||
\(455\) | −2.43373 | + | 22.1712i | −0.114095 | + | 1.03940i | ||||
\(456\) | −11.7266 | + | 1.82923i | −0.549150 | + | 0.0856615i | ||||
\(457\) | 6.62763 | − | 11.4794i | 0.310028 | − | 0.536983i | −0.668340 | − | 0.743856i | \(-0.732995\pi\) |
0.978368 | + | 0.206872i | \(0.0663284\pi\) | |||||||
\(458\) | 11.3367 | + | 19.6357i | 0.529727 | + | 0.917514i | ||||
\(459\) | 29.9248 | + | 19.7331i | 1.39677 | + | 0.921063i | ||||
\(460\) | −93.5582 | − | 54.0158i | −4.36217 | − | 2.51850i | ||||
\(461\) | 31.9499 | 1.48806 | 0.744028 | − | 0.668148i | \(-0.232913\pi\) | ||||
0.744028 | + | 0.668148i | \(0.232913\pi\) | |||||||
\(462\) | 8.23878 | − | 15.8954i | 0.383303 | − | 0.739523i | ||||
\(463\) | 19.1493 | 0.889944 | 0.444972 | − | 0.895545i | \(-0.353214\pi\) | ||||
0.444972 | + | 0.895545i | \(0.353214\pi\) | |||||||
\(464\) | 32.0298 | + | 18.4924i | 1.48694 | + | 0.858488i | ||||
\(465\) | −35.4978 | + | 28.6084i | −1.64617 | + | 1.32668i | ||||
\(466\) | −35.4930 | − | 61.4757i | −1.64418 | − | 2.84781i | ||||
\(467\) | 3.65816 | − | 6.33611i | 0.169279 | − | 0.293200i | −0.768887 | − | 0.639384i | \(-0.779189\pi\) |
0.938167 | + | 0.346184i | \(0.112523\pi\) | |||||||
\(468\) | 8.63030 | + | 26.9900i | 0.398936 | + | 1.24761i | ||||
\(469\) | −10.6697 | + | 14.5441i | −0.492682 | + | 0.671582i | ||||
\(470\) | 74.6602i | 3.44382i | ||||||||
\(471\) | −18.9754 | − | 7.33493i | −0.874342 | − | 0.337976i | ||||
\(472\) | −24.1774 | + | 13.9588i | −1.11286 | + | 0.642508i | ||||
\(473\) | 6.27418 | − | 3.62240i | 0.288487 | − | 0.166558i | ||||
\(474\) | 57.7553 | + | 22.3252i | 2.65279 | + | 1.02543i | ||||
\(475\) | − | 11.2976i | − | 0.518368i | ||||||
\(476\) | −76.0004 | − | 8.34256i | −3.48347 | − | 0.382380i | ||||
\(477\) | 4.11754 | + | 12.8770i | 0.188529 | + | 0.589597i | ||||
\(478\) | −9.73853 | + | 16.8676i | −0.445430 | + | 0.771508i | ||||
\(479\) | 5.86289 | + | 10.1548i | 0.267882 | + | 0.463985i | 0.968315 | − | 0.249733i | \(-0.0803429\pi\) |
−0.700433 | + | 0.713719i | \(0.747010\pi\) | |||||||
\(480\) | 9.93449 | − | 8.00642i | 0.453446 | − | 0.365441i | ||||
\(481\) | 13.4221 | + | 7.74924i | 0.611994 | + | 0.353335i | ||||
\(482\) | 47.0645 | 2.14373 | ||||||||
\(483\) | 26.6284 | − | 17.0307i | 1.21163 | − | 0.774926i | ||||
\(484\) | −35.7483 | −1.62492 | ||||||||
\(485\) | −19.5564 | − | 11.2909i | −0.888010 | − | 0.512693i | ||||
\(486\) | 10.4743 | − | 37.3394i | 0.475124 | − | 1.69375i | ||||
\(487\) | 4.33247 | + | 7.50406i | 0.196323 | + | 0.340041i | 0.947333 | − | 0.320249i | \(-0.103767\pi\) |
−0.751010 | + | 0.660290i | \(0.770433\pi\) | |||||||
\(488\) | 15.0074 | − | 25.9936i | 0.679353 | − | 1.17667i | ||||
\(489\) | 4.04457 | − | 0.630910i | 0.182902 | − | 0.0285307i | ||||
\(490\) | −14.1240 | + | 63.5594i | −0.638057 | + | 2.87132i | ||||
\(491\) | − | 39.1216i | − | 1.76553i | −0.469813 | − | 0.882766i | \(-0.655679\pi\) | ||
0.469813 | − | 0.882766i | \(-0.344321\pi\) | |||||||
\(492\) | 2.61602 | − | 6.76765i | 0.117939 | − | 0.305109i | ||||
\(493\) | 42.7372 | − | 24.6744i | 1.92479 | − | 1.11128i | ||||
\(494\) | −6.11239 | + | 3.52899i | −0.275010 | + | 0.158777i | ||||
\(495\) | 17.2126 | + | 3.74284i | 0.773648 | + | 0.168228i | ||||
\(496\) | − | 36.3983i | − | 1.63433i | ||||||
\(497\) | −17.2542 | + | 7.58688i | −0.773955 | + | 0.340318i | ||||
\(498\) | −6.97226 | − | 44.6971i | −0.312435 | − | 2.00293i | ||||
\(499\) | −2.45656 | + | 4.25488i | −0.109971 | + | 0.190475i | −0.915758 | − | 0.401730i | \(-0.868409\pi\) |
0.805787 | + | 0.592205i | \(0.201742\pi\) | |||||||
\(500\) | 31.1588 | + | 53.9687i | 1.39347 | + | 2.41355i | ||||
\(501\) | 15.6576 | + | 19.4282i | 0.699528 | + | 0.867986i | ||||
\(502\) | −29.0012 | − | 16.7439i | −1.29439 | − | 0.747315i | ||||
\(503\) | 13.4706 | 0.600624 | 0.300312 | − | 0.953841i | \(-0.402909\pi\) | ||||
0.300312 | + | 0.953841i | \(0.402909\pi\) | |||||||
\(504\) | 8.59402 | + | 42.3626i | 0.382808 | + | 1.88698i | ||||
\(505\) | 10.3194 | 0.459205 | ||||||||
\(506\) | 23.3379 | + | 13.4742i | 1.03750 | + | 0.599000i | ||||
\(507\) | −8.60358 | − | 10.6755i | −0.382098 | − | 0.474114i | ||||
\(508\) | −32.5508 | − | 56.3796i | −1.44421 | − | 2.50144i | ||||
\(509\) | −19.8371 | + | 34.3589i | −0.879264 | + | 1.52293i | −0.0271143 | + | 0.999632i | \(0.508632\pi\) |
−0.852150 | + | 0.523298i | \(0.824702\pi\) | |||||||
\(510\) | −17.1291 | − | 109.809i | −0.758489 | − | 4.86244i | ||||
\(511\) | 6.49949 | + | 4.76811i | 0.287521 | + | 0.210929i | ||||
\(512\) | − | 46.1252i | − | 2.03846i | ||||||
\(513\) | 6.52649 | + | 0.387950i | 0.288152 | + | 0.0171284i | ||||
\(514\) | 45.0687 | − | 26.0204i | 1.98789 | − | 1.14771i | ||||
\(515\) | −30.6611 | + | 17.7022i | −1.35109 | + | 0.780053i | ||||
\(516\) | −12.0683 | + | 31.2207i | −0.531278 | + | 1.37442i | ||||
\(517\) | − | 12.6056i | − | 0.554392i | ||||||
\(518\) | 36.4788 | + | 26.7614i | 1.60279 | + | 1.17583i | ||||
\(519\) | −0.658371 | + | 0.102699i | −0.0288993 | + | 0.00450798i | ||||
\(520\) | 22.9552 | − | 39.7595i | 1.00665 | − | 1.74357i | ||||
\(521\) | 6.58581 | + | 11.4070i | 0.288530 | + | 0.499748i | 0.973459 | − | 0.228861i | \(-0.0735002\pi\) |
−0.684929 | + | 0.728610i | \(0.740167\pi\) | |||||||
\(522\) | −39.5089 | − | 35.9098i | −1.72926 | − | 1.57173i | ||||
\(523\) | −21.0395 | − | 12.1471i | −0.919992 | − | 0.531157i | −0.0363593 | − | 0.999339i | \(-0.511576\pi\) |
−0.883632 | + | 0.468181i | \(0.844909\pi\) | |||||||
\(524\) | −70.8737 | −3.09613 | ||||||||
\(525\) | −41.1039 | + | 1.86781i | −1.79392 | + | 0.0815179i | ||||
\(526\) | −43.9581 | −1.91666 | ||||||||
\(527\) | −42.0595 | − | 24.2831i | −1.83214 | − | 1.05779i | ||||
\(528\) | −10.9497 | + | 8.82461i | −0.476526 | + | 0.384042i | ||||
\(529\) | 12.2885 | + | 21.2843i | 0.534284 | + | 0.925406i | ||||
\(530\) | 20.9581 | − | 36.3004i | 0.910360 | − | 1.57679i | ||||
\(531\) | 14.6485 | − | 4.68397i | 0.635689 | − | 0.203267i | ||||
\(532\) | −12.7657 | + | 5.61326i | −0.553465 | + | 0.243366i | ||||
\(533\) | − | 2.25478i | − | 0.0976654i | ||||||
\(534\) | 25.1509 | + | 9.72203i | 1.08838 | + | 0.420713i | ||||
\(535\) | 39.3065 | − | 22.6936i | 1.69937 | − | 0.981131i | ||||
\(536\) | 32.1545 | − | 18.5644i | 1.38886 | − | 0.801861i | ||||
\(537\) | 12.8093 | + | 4.95141i | 0.552761 | + | 0.213669i | ||||
\(538\) | 19.3156i | 0.832753i | ||||||||
\(539\) | 2.38468 | − | 10.7313i | 0.102716 | − | 0.462230i | ||||
\(540\) | −72.7702 | + | 36.4378i | −3.13153 | + | 1.56803i | ||||
\(541\) | 4.41139 | − | 7.64074i | 0.189660 | − | 0.328501i | −0.755477 | − | 0.655175i | \(-0.772595\pi\) |
0.945137 | + | 0.326674i | \(0.105928\pi\) | |||||||
\(542\) | 12.4984 | + | 21.6479i | 0.536852 | + | 0.929855i | ||||
\(543\) | 4.51950 | − | 3.64236i | 0.193950 | − | 0.156309i | ||||
\(544\) | 11.7709 | + | 6.79591i | 0.504672 | + | 0.291372i | ||||
\(545\) | 35.6149 | 1.52557 | ||||||||
\(546\) | 13.8501 | + | 21.6552i | 0.592728 | + | 0.926759i | ||||
\(547\) | 37.8440 | 1.61809 | 0.809045 | − | 0.587746i | \(-0.199985\pi\) | ||||
0.809045 | + | 0.587746i | \(0.199985\pi\) | |||||||
\(548\) | 24.7694 | + | 14.3006i | 1.05810 | + | 0.610893i | ||||
\(549\) | −11.1210 | + | 12.2356i | −0.474631 | + | 0.522201i | ||||
\(550\) | −17.5398 | − | 30.3798i | −0.747900 | − | 1.29540i | ||||
\(551\) | 4.50047 | − | 7.79505i | 0.191727 | − | 0.332080i | ||||
\(552\) | −64.2849 | + | 10.0277i | −2.73615 | + | 0.426809i | ||||
\(553\) | 37.7926 | + | 4.14849i | 1.60710 | + | 0.176412i | ||||
\(554\) | − | 68.2775i | − | 2.90083i | ||||||
\(555\) | −16.0489 | + | 41.5185i | −0.681238 | + | 1.76236i | ||||
\(556\) | −21.2086 | + | 12.2448i | −0.899445 | + | 0.519295i | ||||
\(557\) | −12.1156 | + | 6.99494i | −0.513354 | + | 0.296385i | −0.734211 | − | 0.678921i | \(-0.762448\pi\) |
0.220857 | + | 0.975306i | \(0.429115\pi\) | |||||||
\(558\) | −11.1645 | + | 51.3433i | −0.472630 | + | 2.17354i | ||||
\(559\) | 10.4018i | 0.439951i | ||||||||
\(560\) | 30.2514 | − | 41.2362i | 1.27836 | − | 1.74255i | ||||
\(561\) | 2.89206 | + | 18.5401i | 0.122103 | + | 0.782764i | ||||
\(562\) | −7.36304 | + | 12.7532i | −0.310591 | + | 0.537960i | ||||
\(563\) | −20.7519 | − | 35.9434i | −0.874589 | − | 1.51483i | −0.857200 | − | 0.514983i | \(-0.827798\pi\) |
−0.0173885 | − | 0.999849i | \(-0.505535\pi\) | |||||||
\(564\) | 36.5454 | + | 45.3462i | 1.53884 | + | 1.90942i | ||||
\(565\) | 18.5568 | + | 10.7138i | 0.780691 | + | 0.450732i | ||||
\(566\) | 45.7752 | 1.92407 | ||||||||
\(567\) | 0.332460 | − | 23.8094i | 0.0139620 | − | 0.999903i | ||||
\(568\) | 38.7970 | 1.62789 | ||||||||
\(569\) | 27.3488 | + | 15.7898i | 1.14652 | + | 0.661944i | 0.948037 | − | 0.318160i | \(-0.103065\pi\) |
0.198484 | + | 0.980104i | \(0.436398\pi\) | |||||||
\(570\) | −12.7200 | − | 15.7832i | −0.532783 | − | 0.661086i | ||||
\(571\) | 13.2149 | + | 22.8889i | 0.553028 | + | 0.957873i | 0.998054 | + | 0.0623550i | \(0.0198611\pi\) |
−0.445026 | + | 0.895518i | \(0.646806\pi\) | |||||||
\(572\) | −7.41672 | + | 12.8461i | −0.310109 | + | 0.537124i | ||||
\(573\) | 7.09185 | + | 45.4637i | 0.296266 | + | 1.89928i | ||||
\(574\) | 0.718197 | − | 6.54275i | 0.0299770 | − | 0.273089i | ||||
\(575\) | − | 61.9327i | − | 2.58277i | ||||||
\(576\) | −3.46681 | + | 15.9432i | −0.144450 | + | 0.664299i | ||||
\(577\) | −3.37317 | + | 1.94750i | −0.140427 | + | 0.0810755i | −0.568567 | − | 0.822637i | \(-0.692502\pi\) |
0.428141 | + | 0.903712i | \(0.359169\pi\) | |||||||
\(578\) | 65.9025 | − | 38.0488i | 2.74118 | − | 1.58262i | ||||
\(579\) | −2.74964 | + | 7.11332i | −0.114271 | + | 0.295620i | ||||
\(580\) | 112.041i | 4.65225i | ||||||||
\(581\) | −11.1805 | − | 25.4268i | −0.463846 | − | 1.05488i | ||||
\(582\) | −25.7143 | + | 4.01115i | −1.06589 | + | 0.166267i | ||||
\(583\) | −3.53854 | + | 6.12893i | −0.146551 | + | 0.253834i | ||||
\(584\) | −8.29612 | − | 14.3693i | −0.343296 | − | 0.594606i | ||||
\(585\) | −17.0105 | + | 18.7154i | −0.703297 | + | 0.773785i | ||||
\(586\) | −64.9454 | − | 37.4962i | −2.68287 | − | 1.54896i | ||||
\(587\) | 23.4871 | 0.969416 | 0.484708 | − | 0.874676i | \(-0.338926\pi\) | ||||
0.484708 | + | 0.874676i | \(0.338926\pi\) | |||||||
\(588\) | 22.5332 | + | 45.5175i | 0.929255 | + | 1.87711i | ||||
\(589\) | −8.85822 | −0.364996 | ||||||||
\(590\) | −41.2942 | − | 23.8412i | −1.70005 | − | 0.981526i | ||||
\(591\) | −7.31055 | + | 5.89173i | −0.300716 | + | 0.242353i | ||||
\(592\) | −17.7686 | − | 30.7761i | −0.730285 | − | 1.26489i | ||||
\(593\) | −3.60607 | + | 6.24590i | −0.148084 | + | 0.256488i | −0.930519 | − | 0.366243i | \(-0.880644\pi\) |
0.782436 | + | 0.622732i | \(0.213977\pi\) | |||||||
\(594\) | 18.1524 | − | 9.08934i | 0.744803 | − | 0.372940i | ||||
\(595\) | −27.4677 | − | 62.4673i | −1.12607 | − | 2.56091i | ||||
\(596\) | − | 52.7335i | − | 2.16005i | ||||||
\(597\) | −19.1743 | − | 7.41181i | −0.784754 | − | 0.303345i | ||||
\(598\) | −33.5078 | + | 19.3458i | −1.37024 | + | 0.791107i | ||||
\(599\) | −35.9713 | + | 20.7680i | −1.46975 | + | 0.848559i | −0.999424 | − | 0.0339361i | \(-0.989196\pi\) |
−0.470323 | + | 0.882495i | \(0.655862\pi\) | |||||||
\(600\) | 78.9973 | + | 30.5363i | 3.22505 | + | 1.24664i | ||||
\(601\) | 24.0964i | 0.982912i | 0.870902 | + | 0.491456i | \(0.163535\pi\) | ||||
−0.870902 | + | 0.491456i | \(0.836465\pi\) | |||||||
\(602\) | −3.31321 | + | 30.1832i | −0.135036 | + | 1.23018i | ||||
\(603\) | −19.4816 | + | 6.22940i | −0.793350 | + | 0.253681i | ||||
\(604\) | 37.4934 | − | 64.9404i | 1.52558 | − | 2.64239i | ||||
\(605\) | −15.9531 | − | 27.6315i | −0.648585 | − | 1.12338i | ||||
\(606\) | 9.26003 | − | 7.46285i | 0.376163 | − | 0.303158i | ||||
\(607\) | 19.6303 | + | 11.3335i | 0.796768 | + | 0.460014i | 0.842340 | − | 0.538947i | \(-0.181178\pi\) |
−0.0455717 | + | 0.998961i | \(0.514511\pi\) | |||||||
\(608\) | 2.47908 | 0.100540 | ||||||||
\(609\) | −29.1047 | − | 15.0853i | −1.17938 | − | 0.611288i | ||||
\(610\) | 51.2642 | 2.07563 | ||||||||
\(611\) | 15.6739 | + | 9.04931i | 0.634097 | + | 0.366096i | ||||
\(612\) | −64.1543 | − | 58.3102i | −2.59328 | − | 2.35705i | ||||
\(613\) | −5.49453 | − | 9.51681i | −0.221922 | − | 0.384380i | 0.733469 | − | 0.679722i | \(-0.237900\pi\) |
−0.955392 | + | 0.295342i | \(0.904566\pi\) | |||||||
\(614\) | −40.5706 | + | 70.2704i | −1.63730 | + | 2.83588i | ||||
\(615\) | 6.39847 | − | 0.998092i | 0.258011 | − | 0.0402469i | ||||
\(616\) | −13.3845 | + | 18.2446i | −0.539277 | + | 0.735097i | ||||
\(617\) | 26.7110i | 1.07535i | 0.843154 | + | 0.537673i | \(0.180696\pi\) | ||||
−0.843154 | + | 0.537673i | \(0.819304\pi\) | |||||||
\(618\) | −14.7116 | + | 38.0588i | −0.591787 | + | 1.53095i | ||||
\(619\) | 7.32331 | − | 4.22811i | 0.294349 | − | 0.169942i | −0.345553 | − | 0.938399i | \(-0.612309\pi\) |
0.639901 | + | 0.768457i | \(0.278975\pi\) | |||||||
\(620\) | 95.4917 | − | 55.1322i | 3.83504 | − | 2.21416i | ||||
\(621\) | 35.7779 | + | 2.12672i | 1.43572 | + | 0.0853423i | ||||
\(622\) | − | 6.48437i | − | 0.260000i | ||||||
\(623\) | 16.4576 | + | 1.80655i | 0.659361 | + | 0.0723780i | ||||
\(624\) | −3.11199 | − | 19.9500i | −0.124579 | − | 0.798640i | ||||
\(625\) | −5.36283 | + | 9.28870i | −0.214513 | + | 0.371548i | ||||
\(626\) | 2.45334 | + | 4.24931i | 0.0980552 | + | 0.169837i | ||||
\(627\) | 2.14764 | + | 2.66482i | 0.0857683 | + | 0.106423i | ||||
\(628\) | 42.6106 | + | 24.6012i | 1.70035 | + | 0.981697i | ||||
\(629\) | −47.4172 | −1.89065 | ||||||||
\(630\) | −55.3210 | + | 48.8886i | −2.20404 | + | 1.94777i | ||||
\(631\) | −23.6012 | −0.939549 | −0.469774 | − | 0.882786i | \(-0.655665\pi\) | ||||
−0.469774 | + | 0.882786i | \(0.655665\pi\) | |||||||
\(632\) | −67.7734 | − | 39.1290i | −2.69588 | − | 1.55647i | ||||
\(633\) | −3.25085 | − | 4.03371i | −0.129210 | − | 0.160325i | ||||
\(634\) | 17.0679 | + | 29.5625i | 0.677854 | + | 1.17408i | ||||
\(635\) | 29.0523 | − | 50.3201i | 1.15291 | − | 1.99689i | ||||
\(636\) | −5.03946 | − | 32.3065i | −0.199827 | − | 1.28103i | ||||
\(637\) | 11.6315 | + | 10.6690i | 0.460856 | + | 0.422719i | ||||
\(638\) | − | 27.9485i | − | 1.10649i | ||||||
\(639\) | −20.8842 | − | 4.54122i | −0.826165 | − | 0.179648i | ||||
\(640\) | 56.5683 | − | 32.6597i | 2.23606 | − | 1.29099i | ||||
\(641\) | 40.6603 | − | 23.4753i | 1.60599 | − | 0.927217i | 0.615731 | − | 0.787956i | \(-0.288861\pi\) |
0.990256 | − | 0.139261i | \(-0.0444726\pi\) | |||||||
\(642\) | 18.8597 | − | 48.7901i | 0.744334 | − | 1.92559i | ||||
\(643\) | 17.9110i | 0.706339i | 0.935559 | + | 0.353170i | \(0.114896\pi\) | ||||
−0.935559 | + | 0.353170i | \(0.885104\pi\) | |||||||
\(644\) | −69.9811 | + | 30.7716i | −2.75764 | + | 1.21257i | ||||
\(645\) | −29.5176 | + | 4.60443i | −1.16225 | + | 0.181299i | ||||
\(646\) | 10.7969 | − | 18.7007i | 0.424797 | − | 0.735769i | ||||
\(647\) | 9.06721 | + | 15.7049i | 0.356469 | + | 0.617422i | 0.987368 | − | 0.158443i | \(-0.0506473\pi\) |
−0.630899 | + | 0.775865i | \(0.717314\pi\) | |||||||
\(648\) | −20.3532 | + | 44.5874i | −0.799550 | + | 1.75156i | ||||
\(649\) | 6.97206 | + | 4.02532i | 0.273677 | + | 0.158008i | ||||
\(650\) | 50.3661 | 1.97552 | ||||||||
\(651\) | 1.46452 | + | 32.2288i | 0.0573989 | + | 1.26315i | ||||
\(652\) | −9.90032 | −0.387726 | ||||||||
\(653\) | 20.0233 | + | 11.5605i | 0.783572 | + | 0.452395i | 0.837695 | − | 0.546139i | \(-0.183903\pi\) |
−0.0541228 | + | 0.998534i | \(0.517236\pi\) | |||||||
\(654\) | 31.9588 | − | 25.7563i | 1.24969 | − | 1.00715i | ||||
\(655\) | −31.6282 | − | 54.7817i | −1.23582 | − | 2.14050i | ||||
\(656\) | −2.58505 | + | 4.47744i | −0.100929 | + | 0.174815i | ||||
\(657\) | 2.78381 | + | 8.70597i | 0.108607 | + | 0.339652i | ||||
\(658\) | 42.5988 | + | 31.2511i | 1.66067 | + | 1.21829i | ||||
\(659\) | 39.0907i | 1.52276i | 0.648306 | + | 0.761380i | \(0.275478\pi\) | ||||
−0.648306 | + | 0.761380i | \(0.724522\pi\) | |||||||
\(660\) | −39.7370 | − | 15.3603i | −1.54676 | − | 0.597897i | ||||
\(661\) | 22.9350 | − | 13.2416i | 0.892070 | − | 0.515037i | 0.0174507 | − | 0.999848i | \(-0.494445\pi\) |
0.874619 | + | 0.484811i | \(0.161112\pi\) | |||||||
\(662\) | −11.5562 | + | 6.67196i | −0.449144 | + | 0.259313i | ||||
\(663\) | −25.1291 | − | 9.71362i | −0.975934 | − | 0.377246i | ||||
\(664\) | 57.1738i | 2.21877i | ||||||||
\(665\) | −10.0356 | − | 7.36226i | −0.389164 | − | 0.285496i | ||||
\(666\) | 15.6243 | + | 48.8629i | 0.605431 | + | 1.89340i | ||||
\(667\) | 24.6714 | − | 42.7321i | 0.955279 | − | 1.65459i | ||||
\(668\) | −30.1741 | − | 52.2631i | −1.16747 | − | 2.02212i | ||||
\(669\) | 27.5253 | − | 22.1832i | 1.06419 | − | 0.857653i | ||||
\(670\) | 54.9187 | + | 31.7073i | 2.12170 | + | 1.22496i | ||||
\(671\) | −8.65539 | −0.334138 | ||||||||
\(672\) | −0.409862 | − | 9.01962i | −0.0158108 | − | 0.347939i | ||||
\(673\) | 42.0467 | 1.62078 | 0.810390 | − | 0.585891i | \(-0.199255\pi\) | ||||
0.810390 | + | 0.585891i | \(0.199255\pi\) | |||||||
\(674\) | 50.6645 | + | 29.2512i | 1.95152 | + | 1.12671i | ||||
\(675\) | −38.9495 | − | 25.6842i | −1.49917 | − | 0.988585i | ||||
\(676\) | 16.5802 | + | 28.7178i | 0.637700 | + | 1.10453i | ||||
\(677\) | −11.3809 | + | 19.7123i | −0.437404 | + | 0.757606i | −0.997488 | − | 0.0708298i | \(-0.977435\pi\) |
0.560085 | + | 0.828435i | \(0.310769\pi\) | |||||||
\(678\) | 24.4000 | − | 3.80613i | 0.937075 | − | 0.146174i | ||||
\(679\) | −14.6281 | + | 6.43216i | −0.561374 | + | 0.246844i | ||||
\(680\) | 140.461i | 5.38645i | ||||||||
\(681\) | 8.01782 | − | 20.7421i | 0.307244 | − | 0.794839i | ||||
\(682\) | −23.8203 | + | 13.7526i | −0.912125 | + | 0.526616i | ||||
\(683\) | −11.1897 | + | 6.46038i | −0.428162 | + | 0.247199i | −0.698563 | − | 0.715548i | \(-0.746177\pi\) |
0.270401 | + | 0.962748i | \(0.412844\pi\) | |||||||
\(684\) | −15.4515 | − | 3.35988i | −0.590801 | − | 0.128468i | ||||
\(685\) | 25.5273i | 0.975348i | ||||||||
\(686\) | 30.3530 | + | 34.6632i | 1.15888 | + | 1.32345i | ||||
\(687\) | 2.43297 | + | 15.5971i | 0.0928237 | + | 0.595065i | ||||
\(688\) | 11.9254 | − | 20.6554i | 0.454653 | − | 0.787482i | ||||
\(689\) | −5.08051 | − | 8.79970i | −0.193552 | − | 0.335242i | ||||
\(690\) | −69.7305 | − | 86.5227i | −2.65459 | − | 3.29386i | ||||
\(691\) | 6.07678 | + | 3.50843i | 0.231172 | + | 0.133467i | 0.611112 | − | 0.791544i | \(-0.290722\pi\) |
−0.379941 | + | 0.925011i | \(0.624056\pi\) | |||||||
\(692\) | 1.61156 | 0.0612624 | ||||||||
\(693\) | 9.34034 | − | 8.25430i | 0.354810 | − | 0.313555i | ||||
\(694\) | −50.3761 | −1.91225 | ||||||||
\(695\) | −18.9292 | − | 10.9288i | −0.718024 | − | 0.414551i | ||||
\(696\) | 42.3419 | + | 52.5385i | 1.60496 | + | 1.99147i | ||||
\(697\) | 3.44922 | + | 5.97423i | 0.130649 | + | 0.226290i | ||||
\(698\) | 7.10749 | − | 12.3105i | 0.269022 | − | 0.465960i | ||||
\(699\) | −7.61720 | − | 48.8316i | −0.288109 | − | 1.84698i | ||||
\(700\) | 98.9204 | + | 10.8585i | 3.73884 | + | 0.410412i | ||||
\(701\) | − | 1.83002i | − | 0.0691190i | −0.999403 | − | 0.0345595i | \(-0.988997\pi\) | ||
0.999403 | − | 0.0345595i | \(-0.0110028\pi\) | |||||||
\(702\) | −1.72953 | + | 29.0960i | −0.0652770 | + | 1.09816i | ||||
\(703\) | −7.48995 | + | 4.32432i | −0.282489 | + | 0.163095i | ||||
\(704\) | −7.39669 | + | 4.27048i | −0.278773 | + | 0.160950i | ||||
\(705\) | −18.7414 | + | 48.4840i | −0.705842 | + | 1.82601i | ||||
\(706\) | − | 49.8781i | − | 1.87719i | ||||||
\(707\) | 4.31945 | − | 5.88791i | 0.162450 | − | 0.221438i | ||||
\(708\) | −36.7508 | + | 5.73272i | −1.38118 | + | 0.215449i | ||||
\(709\) | 2.82891 | − | 4.89981i | 0.106242 | − | 0.184016i | −0.808003 | − | 0.589178i | \(-0.799452\pi\) |
0.914245 | + | 0.405162i | \(0.132785\pi\) | |||||||
\(710\) | 33.1319 | + | 57.3862i | 1.24342 | + | 2.15366i | ||||
\(711\) | 31.9019 | + | 28.9958i | 1.19641 | + | 1.08743i | ||||
\(712\) | −29.5134 | − | 17.0396i | −1.10606 | − | 0.638586i | ||||
\(713\) | −48.5603 | −1.81860 | ||||||||
\(714\) | −69.8237 | − | 36.1904i | −2.61309 | − | 1.35439i | ||||
\(715\) | −13.2392 | −0.495118 | ||||||||
\(716\) | −28.7641 | − | 16.6069i | −1.07496 | − | 0.620631i | ||||
\(717\) | −10.5583 | + | 8.50917i | −0.394307 | + | 0.317781i | ||||
\(718\) | 35.2481 | + | 61.0514i | 1.31545 | + | 2.27842i | ||||
\(719\) | −4.18481 | + | 7.24831i | −0.156067 | + | 0.270316i | −0.933447 | − | 0.358715i | \(-0.883215\pi\) |
0.777380 | + | 0.629031i | \(0.216548\pi\) | |||||||
\(720\) | 55.2353 | − | 17.6620i | 2.05850 | − | 0.658223i | ||||
\(721\) | −2.73371 | + | 24.9040i | −0.101809 | + | 0.927475i | ||||
\(722\) | 43.3293i | 1.61255i | ||||||||
\(723\) | 30.5634 | + | 11.8142i | 1.13667 | + | 0.439377i | ||||
\(724\) | −12.1578 | + | 7.01929i | −0.451840 | + | 0.260870i | ||||
\(725\) | −55.6258 | + | 32.1156i | −2.06589 | + | 1.19274i | ||||
\(726\) | −34.2983 | − | 13.2579i | −1.27293 | − | 0.492048i | ||||
\(727\) | − | 1.94352i | − | 0.0720810i | −0.999350 | − | 0.0360405i | \(-0.988525\pi\) | ||
0.999350 | − | 0.0360405i | \(-0.0114745\pi\) | |||||||
\(728\) | −13.0770 | − | 29.7399i | −0.484667 | − | 1.10223i | ||||
\(729\) | 16.1750 | − | 21.6187i | 0.599074 | − | 0.800694i | ||||
\(730\) | 14.1695 | − | 24.5422i | 0.524435 | − | 0.908349i | ||||
\(731\) | −15.9121 | − | 27.5605i | −0.588529 | − | 1.01936i | ||||
\(732\) | 31.1362 | − | 25.0933i | 1.15083 | − | 0.927476i | ||||
\(733\) | 0.745890 | + | 0.430640i | 0.0275501 | + | 0.0159060i | 0.513712 | − | 0.857963i | \(-0.328270\pi\) |
−0.486162 | + | 0.873869i | \(0.661603\pi\) | |||||||
\(734\) | 2.42886 | 0.0896509 | ||||||||
\(735\) | −25.1269 | + | 37.7297i | −0.926820 | + | 1.39168i | ||||
\(736\) | 13.5902 | 0.500941 | ||||||||
\(737\) | −9.27242 | − | 5.35344i | −0.341554 | − | 0.197196i | ||||
\(738\) | 5.01983 | − | 5.52294i | 0.184782 | − | 0.203302i | ||||
\(739\) | 10.8935 | + | 18.8680i | 0.400722 | + | 0.694071i | 0.993813 | − | 0.111064i | \(-0.0354259\pi\) |
−0.593091 | + | 0.805135i | \(0.702093\pi\) | |||||||
\(740\) | 53.8278 | − | 93.2325i | 1.97875 | − | 3.42730i | ||||
\(741\) | −4.85521 | + | 0.757361i | −0.178361 | + | 0.0278223i | ||||
\(742\) | −11.9393 | − | 27.1525i | −0.438307 | − | 0.996801i | ||||
\(743\) | − | 35.4130i | − | 1.29918i | −0.760285 | − | 0.649589i | \(-0.774941\pi\) | ||
0.760285 | − | 0.649589i | \(-0.225059\pi\) | |||||||
\(744\) | 23.9429 | − | 61.9404i | 0.877791 | − | 2.27084i | ||||
\(745\) | 40.7602 | − | 23.5329i | 1.49334 | − | 0.862180i | ||||
\(746\) | −19.5083 | + | 11.2631i | −0.714249 | + | 0.412372i | ||||
\(747\) | 6.69223 | − | 30.7763i | 0.244856 | − | 1.12605i | ||||
\(748\) | − | 45.3825i | − | 1.65935i | ||||||
\(749\) | 3.50452 | − | 31.9261i | 0.128053 | − | 1.16655i | ||||
\(750\) | 9.87966 | + | 63.3355i | 0.360754 | + | 2.31269i | ||||
\(751\) | −6.91635 | + | 11.9795i | −0.252381 | + | 0.437137i | −0.964181 | − | 0.265245i | \(-0.914547\pi\) |
0.711800 | + | 0.702383i | \(0.247880\pi\) | |||||||
\(752\) | −20.7496 | − | 35.9394i | −0.756660 | − | 1.31057i | ||||
\(753\) | −14.6302 | − | 18.1533i | −0.533153 | − | 0.661545i | ||||
\(754\) | 34.7514 | + | 20.0637i | 1.26557 | + | 0.730677i | ||||
\(755\) | 66.9274 | 2.43574 | ||||||||
\(756\) | −9.66968 | + | 56.7724i | −0.351683 | + | 2.06479i | ||||
\(757\) | −42.7555 | −1.55397 | −0.776987 | − | 0.629517i | \(-0.783253\pi\) | ||||
−0.776987 | + | 0.629517i | \(0.783253\pi\) | |||||||
\(758\) | −14.5340 | − | 8.39121i | −0.527899 | − | 0.304782i | ||||
\(759\) | 11.7732 | + | 14.6084i | 0.427341 | + | 0.530252i | ||||
\(760\) | 12.8097 | + | 22.1871i | 0.464657 | + | 0.804810i | ||||
\(761\) | 11.4562 | − | 19.8428i | 0.415288 | − | 0.719300i | −0.580171 | − | 0.814495i | \(-0.697014\pi\) |
0.995459 | + | 0.0951952i | \(0.0303475\pi\) | |||||||
\(762\) | −10.3210 | − | 66.1649i | −0.373890 | − | 2.39690i | ||||
\(763\) | 14.9076 | − | 20.3207i | 0.539690 | − | 0.735660i | ||||
\(764\) | − | 111.286i | − | 4.02620i | ||||||
\(765\) | 16.4411 | − | 75.6095i | 0.594430 | − | 2.73367i | ||||
\(766\) | 64.7001 | − | 37.3546i | 2.33771 | − | 1.34968i | ||||
\(767\) | −10.0102 | + | 5.77942i | −0.361449 | + | 0.208683i | ||||
\(768\) | 20.3495 | − | 52.6441i | 0.734299 | − | 1.89963i | ||||
\(769\) | 41.6937i | 1.50351i | 0.659440 | + | 0.751757i | \(0.270794\pi\) | ||||
−0.659440 | + | 0.751757i | \(0.729206\pi\) | |||||||
\(770\) | −38.4165 | − | 4.21697i | −1.38443 | − | 0.151969i | ||||
\(771\) | 35.7991 | − | 5.58427i | 1.28927 | − | 0.201113i | ||||
\(772\) | 9.22227 | − | 15.9734i | 0.331917 | − | 0.574897i | ||||
\(773\) | 10.2894 | + | 17.8218i | 0.370085 | + | 0.641006i | 0.989578 | − | 0.143996i | \(-0.0459953\pi\) |
−0.619493 | + | 0.785002i | \(0.712662\pi\) | |||||||
\(774\) | −23.1576 | + | 25.4786i | −0.832384 | + | 0.915809i | ||||
\(775\) | 54.7437 | + | 31.6063i | 1.96645 | + | 1.13533i | ||||
\(776\) | 32.8921 | 1.18076 | ||||||||
\(777\) | 16.9715 | + | 26.5357i | 0.608848 | + | 0.951963i | ||||
\(778\) | −0.996466 | −0.0357250 | ||||||||
\(779\) | 1.08967 | + | 0.629120i | 0.0390414 | + | 0.0225406i | ||||
\(780\) | 47.6256 | − | 38.3825i | 1.70527 | − | 1.37431i | ||||
\(781\) | −5.59396 | − | 9.68902i | −0.200168 | − | 0.346700i | ||||
\(782\) | 59.1878 | − | 102.516i | 2.11655 | − | 3.66598i | ||||
\(783\) | −16.6427 | − | 33.2373i | −0.594761 | − | 1.18780i | ||||
\(784\) | −10.8656 | − | 34.5211i | −0.388056 | − | 1.23290i | ||||
\(785\) | 43.9144i | 1.56737i | ||||||||
\(786\) | −67.9990 | − | 26.2849i | −2.42544 | − | 0.937551i | ||||
\(787\) | −13.0432 | + | 7.53050i | −0.464940 | + | 0.268433i | −0.714119 | − | 0.700024i | \(-0.753173\pi\) |
0.249179 | + | 0.968457i | \(0.419839\pi\) | |||||||
\(788\) | 19.6659 | − | 11.3541i | 0.700569 | − | 0.404474i | ||||
\(789\) | −28.5462 | − | 11.0345i | −1.01627 | − | 0.392838i | ||||
\(790\) | − | 133.662i | − | 4.75547i | ||||||
\(791\) | 13.8804 | − | 6.10340i | 0.493531 | − | 0.217012i | ||||
\(792\) | −24.4384 | + | 7.81440i | −0.868381 | + | 0.277673i | ||||
\(793\) | 6.21356 | − | 10.7622i | 0.220650 | − | 0.382177i | ||||
\(794\) | 20.5124 | + | 35.5286i | 0.727959 | + | 1.26086i | ||||
\(795\) | 22.7223 | − | 18.3124i | 0.805876 | − | 0.649473i | ||||
\(796\) | 43.0573 | + | 24.8591i | 1.52612 | + | 0.881108i | ||||
\(797\) | −17.1311 | −0.606814 | −0.303407 | − | 0.952861i | \(-0.598124\pi\) | ||||
−0.303407 | + | 0.952861i | \(0.598124\pi\) | |||||||
\(798\) | −14.3297 | + | 0.651160i | −0.507267 | + | 0.0230508i | ||||
\(799\) | −55.3723 | −1.95893 | ||||||||
\(800\) | −15.3207 | − | 8.84541i | −0.541668 | − | 0.312732i | ||||
\(801\) | 13.8924 | + | 12.6269i | 0.490864 | + | 0.446149i | ||||
\(802\) | −4.00923 | − | 6.94420i | −0.141571 | − | 0.245208i | ||||
\(803\) | −2.39236 | + | 4.14369i | −0.0844245 | + | 0.146227i | ||||
\(804\) | 48.8763 | − | 7.62417i | 1.72373 | − | 0.268884i | ||||
\(805\) | −55.0147 | − | 40.3595i | −1.93901 | − | 1.42249i | ||||
\(806\) | − | 39.4911i | − | 1.39102i | ||||||
\(807\) | −4.84864 | + | 12.5434i | −0.170680 | + | 0.441550i | ||||
\(808\) | −13.0172 | + | 7.51548i | −0.457943 | + | 0.264394i | ||||
\(809\) | −15.5787 | + | 8.99434i | −0.547717 | + | 0.316224i | −0.748201 | − | 0.663473i | \(-0.769082\pi\) |
0.200484 | + | 0.979697i | \(0.435749\pi\) | |||||||
\(810\) | −83.3322 | + | 7.97154i | −2.92799 | + | 0.280092i | ||||
\(811\) | 7.05128i | 0.247604i | 0.992307 | + | 0.123802i | \(0.0395088\pi\) | ||||
−0.992307 | + | 0.123802i | \(0.960491\pi\) | |||||||
\(812\) | 63.9271 | + | 46.8978i | 2.24340 | + | 1.64579i | ||||
\(813\) | 2.68230 | + | 17.1954i | 0.0940722 | + | 0.603069i | ||||
\(814\) | −13.4273 | + | 23.2567i | −0.470626 | + | 0.815147i | ||||
\(815\) | −4.41813 | − | 7.65243i | −0.154760 | − | 0.268053i | ||||
\(816\) | 38.7638 | + | 48.0987i | 1.35700 | + | 1.68379i | ||||
\(817\) | −5.02689 | − | 2.90228i | −0.175869 | − | 0.101538i | ||||
\(818\) | −70.1657 | −2.45329 | ||||||||
\(819\) | 3.55821 | + | 17.5395i | 0.124334 | + | 0.612879i | ||||
\(820\) | −15.6622 | −0.546947 | ||||||||
\(821\) | −26.7485 | − | 15.4432i | −0.933528 | − | 0.538973i | −0.0456023 | − | 0.998960i | \(-0.514521\pi\) |
−0.887926 | + | 0.459987i | \(0.847854\pi\) | |||||||
\(822\) | 18.4611 | + | 22.9068i | 0.643904 | + | 0.798967i | ||||
\(823\) | −0.181508 | − | 0.314381i | −0.00632696 | − | 0.0109586i | 0.862845 | − | 0.505469i | \(-0.168681\pi\) |
−0.869172 | + | 0.494511i | \(0.835347\pi\) | |||||||
\(824\) | 25.7847 | − | 44.6604i | 0.898252 | − | 1.55582i | ||||
\(825\) | −3.76424 | − | 24.1314i | −0.131054 | − | 0.840147i | ||||
\(826\) | −30.8878 | + | 13.5818i | −1.07473 | + | 0.472571i | ||||
\(827\) | 33.9896i | 1.18193i | 0.806696 | + | 0.590967i | \(0.201253\pi\) | ||||
−0.806696 | + | 0.590967i | \(0.798747\pi\) | |||||||
\(828\) | −84.7041 | − | 18.4187i | −2.94367 | − | 0.640094i | ||||
\(829\) | −21.1969 | + | 12.2380i | −0.736198 | + | 0.425044i | −0.820685 | − | 0.571381i | \(-0.806408\pi\) |
0.0844875 | + | 0.996425i | \(0.473075\pi\) | |||||||
\(830\) | −84.5680 | + | 48.8253i | −2.93540 | + | 1.69475i | ||||
\(831\) | 17.1392 | − | 44.3391i | 0.594552 | − | 1.53811i | ||||
\(832\) | − | 12.2628i | − | 0.425137i | ||||||
\(833\) | −47.1393 | − | 10.4752i | −1.63328 | − | 0.362943i | ||||
\(834\) | −24.8896 | + | 3.88250i | −0.861855 | + | 0.134440i | ||||
\(835\) | 26.9311 | − | 46.6460i | 0.931989 | − | 1.61425i | ||||
\(836\) | −4.13877 | − | 7.16856i | −0.143142 | − | 0.247930i | ||||
\(837\) | −20.1385 | + | 30.5396i | −0.696088 | + | 1.05560i | ||||
\(838\) | −25.9326 | − | 14.9722i | −0.895827 | − | 0.517206i | ||||
\(839\) | −29.0807 | −1.00398 | −0.501989 | − | 0.864874i | \(-0.667398\pi\) | ||||
−0.501989 | + | 0.864874i | \(0.667398\pi\) | |||||||
\(840\) | 78.6053 | − | 50.2737i | 2.71214 | − | 1.73461i | ||||
\(841\) | −22.1739 | −0.764619 | ||||||||
\(842\) | 21.3955 | + | 12.3527i | 0.737337 | + | 0.425702i | ||||
\(843\) | −7.98286 | + | 6.43355i | −0.274944 | + | 0.221583i | ||||
\(844\) | 6.26481 | + | 10.8510i | 0.215643 | + | 0.373505i | ||||
\(845\) | −14.7982 | + | 25.6313i | −0.509074 | + | 0.881742i | ||||
\(846\) | 18.2456 | + | 57.0605i | 0.627296 | + | 1.96178i | ||||
\(847\) | −22.4433 | − | 2.46360i | −0.771161 | − | 0.0846502i | ||||
\(848\) | 23.2987i | 0.800080i | ||||||||
\(849\) | 29.7262 | + | 11.4906i | 1.02020 | + | 0.394357i | ||||
\(850\) | −133.449 | + | 77.0469i | −4.57727 | + | 2.64269i | ||||
\(851\) | −41.0595 | + | 23.7057i | −1.40750 | + | 0.812622i | ||||
\(852\) | 48.2132 | + | 18.6367i | 1.65176 | + | 0.638484i | ||||
\(853\) | − | 42.8489i | − | 1.46712i | −0.679626 | − | 0.733559i | \(-0.737858\pi\) | ||
0.679626 | − | 0.733559i | \(-0.262142\pi\) | |||||||
\(854\) | 21.4580 | − | 29.2498i | 0.734278 | − | 1.00091i | ||||
\(855\) | −4.29838 | − | 13.4426i | −0.147001 | − | 0.459726i | ||||
\(856\) | −33.0550 | + | 57.2530i | −1.12980 | + | 1.95687i | ||||
\(857\) | −6.11562 | − | 10.5926i | −0.208906 | − | 0.361835i | 0.742464 | − | 0.669886i | \(-0.233657\pi\) |
−0.951370 | + | 0.308050i | \(0.900324\pi\) | |||||||
\(858\) | −11.8801 | + | 9.57445i | −0.405581 | + | 0.326866i | ||||
\(859\) | 18.8044 | + | 10.8567i | 0.641598 | + | 0.370427i | 0.785230 | − | 0.619204i | \(-0.212545\pi\) |
−0.143632 | + | 0.989631i | \(0.545878\pi\) | |||||||
\(860\) | 72.2533 | 2.46382 | ||||||||
\(861\) | 2.10877 | − | 4.06855i | 0.0718668 | − | 0.138656i | ||||
\(862\) | 17.9617 | 0.611777 | ||||||||
\(863\) | 13.3295 | + | 7.69580i | 0.453742 | + | 0.261968i | 0.709409 | − | 0.704797i | \(-0.248962\pi\) |
−0.255667 | + | 0.966765i | \(0.582295\pi\) | |||||||
\(864\) | 5.63600 | − | 8.54686i | 0.191741 | − | 0.290770i | ||||
\(865\) | 0.719179 | + | 1.24565i | 0.0244528 | + | 0.0423535i | ||||
\(866\) | −21.9024 | + | 37.9360i | −0.744273 | + | 1.28912i | ||||
\(867\) | 52.3479 | − | 8.16571i | 1.77783 | − | 0.277322i | ||||
\(868\) | 8.51394 | − | 77.5617i | 0.288982 | − | 2.63261i | ||||
\(869\) | 22.5673i | 0.765543i | ||||||||
\(870\) | −41.5526 | + | 107.496i | −1.40876 | + | 3.64447i | ||||
\(871\) | 13.3130 | − | 7.68628i | 0.451095 | − | 0.260440i | ||||
\(872\) | −44.9258 | + | 25.9379i | −1.52138 | + | 0.878369i | ||||
\(873\) | −17.7056 | − | 3.85005i | −0.599244 | − | 0.130304i | ||||
\(874\) | − | 21.5911i | − | 0.730330i | ||||||
\(875\) | 15.8427 | + | 36.0297i | 0.535582 | + | 1.21803i | ||||
\(876\) | −3.40711 | − | 21.8420i | −0.115116 | − | 0.737972i | ||||
\(877\) | −18.6353 | + | 32.2772i | −0.629268 | + | 1.08992i | 0.358431 | + | 0.933556i | \(0.383312\pi\) |
−0.987699 | + | 0.156368i | \(0.950021\pi\) | |||||||
\(878\) | 30.4483 | + | 52.7380i | 1.02758 | + | 1.77982i | ||||
\(879\) | −32.7628 | − | 40.6526i | −1.10506 | − | 1.37118i | ||||
\(880\) | 26.2897 | + | 15.1784i | 0.886227 | + | 0.511663i | ||||
\(881\) | 40.7343 | 1.37237 | 0.686187 | − | 0.727425i | \(-0.259283\pi\) | ||||
0.686187 | + | 0.727425i | \(0.259283\pi\) | |||||||
\(882\) | 4.73822 | + | 52.0281i | 0.159544 | + | 1.75188i | ||||
\(883\) | −32.3370 | −1.08823 | −0.544113 | − | 0.839012i | \(-0.683134\pi\) | ||||
−0.544113 | + | 0.839012i | \(0.683134\pi\) | |||||||
\(884\) | 56.4291 | + | 32.5793i | 1.89792 | + | 1.09576i | ||||
\(885\) | −20.8315 | − | 25.8481i | −0.700245 | − | 0.868875i | ||||
\(886\) | −13.2099 | − | 22.8802i | −0.443796 | − | 0.768677i | ||||
\(887\) | −6.62678 | + | 11.4779i | −0.222505 | + | 0.385391i | −0.955568 | − | 0.294770i | \(-0.904757\pi\) |
0.733063 | + | 0.680161i | \(0.238090\pi\) | |||||||
\(888\) | −9.99284 | − | 64.0611i | −0.335338 | − | 2.14975i | ||||
\(889\) | −16.5505 | − | 37.6392i | −0.555085 | − | 1.26238i | ||||
\(890\) | − | 58.2060i | − | 1.95107i | ||||||
\(891\) | 14.0697 | − | 1.34591i | 0.471353 | − | 0.0450896i | ||||
\(892\) | −74.0451 | + | 42.7499i | −2.47921 | + | 1.43137i | ||||
\(893\) | −8.74652 | + | 5.04981i | −0.292691 | + | 0.168985i | ||||
\(894\) | 19.5572 | − | 50.5945i | 0.654092 | − | 1.69213i | ||||
\(895\) | − | 29.6442i | − | 0.990895i | ||||||
\(896\) | 5.04357 | − | 45.9468i | 0.168494 | − | 1.53497i | ||||
\(897\) | −26.6160 | + | 4.15181i | −0.888684 | + | 0.138625i | ||||
\(898\) | −1.26223 | + | 2.18625i | −0.0421212 | + | 0.0729561i | ||||
\(899\) | 25.1812 | + | 43.6152i | 0.839841 | + | 1.45465i | ||||
\(900\) | 83.5018 | + | 75.8952i | 2.78339 | + | 2.52984i | ||||
\(901\) | 26.9225 | + | 15.5437i | 0.896917 | + | 0.517835i | ||||
\(902\) | 3.90691 | 0.130086 | ||||||||
\(903\) | −9.72826 | + | 18.7691i | −0.323736 | + | 0.624598i | ||||
\(904\) | −31.2109 | −1.03806 | ||||||||
\(905\) | −10.8511 | − | 6.26488i | −0.360702 | − | 0.208252i | ||||
\(906\) | 60.0570 | − | 48.4012i | 1.99526 | − | 1.60802i | ||||
\(907\) | −8.48521 | − | 14.6968i | −0.281747 | − | 0.488000i | 0.690068 | − | 0.723744i | \(-0.257581\pi\) |
−0.971815 | + | 0.235744i | \(0.924247\pi\) | |||||||
\(908\) | −26.8917 | + | 46.5777i | −0.892431 | + | 1.54574i | ||||
\(909\) | 7.88676 | − | 2.52186i | 0.261587 | − | 0.0836449i | ||||
\(910\) | 32.8219 | − | 44.7401i | 1.08804 | − | 1.48312i | ||||
\(911\) | − | 52.5499i | − | 1.74106i | −0.492118 | − | 0.870528i | \(-0.663777\pi\) | ||
0.492118 | − | 0.870528i | \(-0.336223\pi\) | |||||||
\(912\) | 10.5095 | + | 4.06245i | 0.348006 | + | 0.134521i | ||||
\(913\) | 14.2784 | − | 8.24362i | 0.472545 | − | 0.272824i | ||||
\(914\) | −28.5582 | + | 16.4881i | −0.944622 | + | 0.545378i | ||||
\(915\) | 33.2907 | + | 12.8685i | 1.10056 | + | 0.425418i | ||||
\(916\) | − | 38.1785i | − | 1.26145i | ||||||
\(917\) | −44.4956 | − | 4.88428i | −1.46937 | − | 0.161293i | ||||
\(918\) | −39.9266 | − | 79.7379i | −1.31778 | − | 2.63174i | ||||
\(919\) | −9.83558 | + | 17.0357i | −0.324446 | + | 0.561957i | −0.981400 | − | 0.191974i | \(-0.938511\pi\) |
0.656954 | + | 0.753930i | \(0.271844\pi\) | |||||||
\(920\) | 70.2222 | + | 121.628i | 2.31516 | + | 4.00997i | ||||
\(921\) | −43.9858 | + | 35.4491i | −1.44938 | + | 1.16809i | ||||
\(922\) | −68.8356 | − | 39.7422i | −2.26698 | − | 1.30884i | ||||
\(923\) | 16.0632 | 0.528728 | ||||||||
\(924\) | −25.3971 | + | 16.2432i | −0.835503 | + | 0.534363i | ||||
\(925\) | 61.7171 | 2.02925 | ||||||||
\(926\) | −41.2569 | − | 23.8197i | −1.35578 | − | 0.782762i | ||||
\(927\) | −19.1073 | + | 21.0223i | −0.627565 | + | 0.690462i | ||||
\(928\) | −7.04727 | − | 12.2062i | −0.231338 | − | 0.400689i | ||||
\(929\) | 7.02635 | − | 12.1700i | 0.230527 | − | 0.399284i | −0.727436 | − | 0.686175i | \(-0.759288\pi\) |
0.957963 | + | 0.286891i | \(0.0926217\pi\) | |||||||
\(930\) | 112.065 | − | 17.4810i | 3.67476 | − | 0.573223i | ||||
\(931\) | −8.40136 | + | 2.64434i | −0.275343 | + | 0.0866647i | ||||
\(932\) | 119.530i | 3.91534i | ||||||||
\(933\) | 1.62772 | − | 4.21092i | 0.0532893 | − | 0.137859i | ||||
\(934\) | −15.7629 | + | 9.10069i | −0.515777 | + | 0.297784i | ||||
\(935\) | 35.0783 | − | 20.2525i | 1.14718 | − | 0.662327i | ||||
\(936\) | 7.82741 | − | 35.9968i | 0.255847 | − | 1.17659i | ||||
\(937\) | 32.2220i | 1.05265i | 0.850285 | + | 0.526323i | \(0.176430\pi\) | ||||
−0.850285 | + | 0.526323i | \(0.823570\pi\) | |||||||
\(938\) | 41.0790 | − | 18.0630i | 1.34128 | − | 0.589777i | ||||
\(939\) | 0.526514 | + | 3.37533i | 0.0171821 | + | 0.110150i | ||||
\(940\) | 62.8584 | − | 108.874i | 2.05022 | − | 3.55108i | ||||
\(941\) | 9.53589 | + | 16.5166i | 0.310861 | + | 0.538427i | 0.978549 | − | 0.206014i | \(-0.0660493\pi\) |
−0.667688 | + | 0.744441i | \(0.732716\pi\) | |||||||
\(942\) | 31.7584 | + | 39.4064i | 1.03474 | + | 1.28393i | ||||
\(943\) | 5.97351 | + | 3.44881i | 0.194524 | + | 0.112309i | ||||
\(944\) | 26.5038 | 0.862626 | ||||||||
\(945\) | −48.1973 | + | 17.8612i | −1.56786 | + | 0.581025i | ||||
\(946\) | −18.0235 | −0.585994 | ||||||||
\(947\) | 17.5659 | + | 10.1417i | 0.570816 | + | 0.329561i | 0.757475 | − | 0.652864i | \(-0.226433\pi\) |
−0.186659 | + | 0.982425i | \(0.559766\pi\) | |||||||
\(948\) | −65.4261 | − | 81.1817i | −2.12494 | − | 2.63666i | ||||
\(949\) | −3.43487 | − | 5.94936i | −0.111500 | − | 0.193124i | ||||
\(950\) | −14.0529 | + | 24.3404i | −0.455938 | + | 0.789707i | ||||
\(951\) | 3.66297 | + | 23.4822i | 0.118780 | + | 0.761463i | ||||
\(952\) | 80.1430 | + | 58.7939i | 2.59745 | + | 1.90552i | ||||
\(953\) | 8.62059i | 0.279248i | 0.990205 | + | 0.139624i | \(0.0445894\pi\) | ||||
−0.990205 | + | 0.139624i | \(0.955411\pi\) | |||||||
\(954\) | 7.14643 | − | 32.8650i | 0.231374 | − | 1.06404i | ||||
\(955\) | 86.0185 | − | 49.6628i | 2.78349 | − | 1.60705i | ||||
\(956\) | 28.4026 | − | 16.3983i | 0.918606 | − | 0.530358i | ||||
\(957\) | 7.01569 | − | 18.1496i | 0.226785 | − | 0.586693i | ||||
\(958\) | − | 29.1712i | − | 0.942478i | ||||||
\(959\) | 14.5651 | + | 10.6851i | 0.470331 | + | 0.345041i | ||||
\(960\) | 34.7986 | − | 5.42821i | 1.12312 | − | 0.175195i | ||||
\(961\) | 9.28193 | − | 16.0768i | 0.299417 | − | 0.518606i | ||||
\(962\) | −19.2784 | − | 33.3912i | −0.621561 | − | 1.07658i | ||||
\(963\) | 24.4948 | − | 26.9498i | 0.789335 | − | 0.868446i | ||||
\(964\) | −68.6322 | − | 39.6248i | −2.21049 | − | 1.27623i | ||||
\(965\) | 16.4622 | 0.529936 | ||||||||
\(966\) | −78.5548 | + | 3.56962i | −2.52746 | + | 0.114851i | ||||
\(967\) | 17.9282 | 0.576533 | 0.288266 | − | 0.957550i | \(-0.406921\pi\) | ||||
0.288266 | + | 0.957550i | \(0.406921\pi\) | |||||||
\(968\) | 40.2475 | + | 23.2369i | 1.29360 | + | 0.746862i | ||||
\(969\) | 11.7057 | − | 9.43389i | 0.376042 | − | 0.303060i | ||||
\(970\) | 28.0893 | + | 48.6520i | 0.901892 | + | 1.56212i | ||||
\(971\) | −8.41949 | + | 14.5830i | −0.270194 | + | 0.467990i | −0.968911 | − | 0.247408i | \(-0.920421\pi\) |
0.698717 | + | 0.715398i | \(0.253755\pi\) | |||||||
\(972\) | −46.7113 | + | 45.6319i | −1.49826 | + | 1.46365i | ||||
\(973\) | −14.1589 | + | 6.22587i | −0.453914 | + | 0.199592i | ||||
\(974\) | − | 21.5565i | − | 0.690715i | ||||||
\(975\) | 32.7075 | + | 12.6430i | 1.04748 | + | 0.404901i | ||||
\(976\) | −24.6772 | + | 14.2474i | −0.789897 | + | 0.456047i | ||||
\(977\) | 19.9678 | − | 11.5284i | 0.638826 | − | 0.368826i | −0.145336 | − | 0.989382i | \(-0.546426\pi\) |
0.784162 | + | 0.620556i | \(0.213093\pi\) | |||||||
\(978\) | −9.49875 | − | 3.67173i | −0.303736 | − | 0.117409i | ||||
\(979\) | 9.82744i | 0.314086i | ||||||||
\(980\) | 74.1088 | − | 80.7947i | 2.36732 | − | 2.58089i | ||||
\(981\) | 27.2193 | − | 8.70362i | 0.869046 | − | 0.277885i | ||||
\(982\) | −48.6630 | + | 84.2867i | −1.55290 | + | 2.68970i | ||||
\(983\) | 21.7207 | + | 37.6214i | 0.692783 | + | 1.19994i | 0.970922 | + | 0.239395i | \(0.0769489\pi\) |
−0.278139 | + | 0.960541i | \(0.589718\pi\) | |||||||
\(984\) | −7.34435 | + | 5.91896i | −0.234129 | + | 0.188690i | ||||
\(985\) | 17.5523 | + | 10.1338i | 0.559262 | + | 0.322890i | ||||
\(986\) | −122.769 | −3.90976 | ||||||||
\(987\) | 19.8187 | + | 30.9875i | 0.630837 | + | 0.986345i | ||||
\(988\) | 11.8846 | 0.378100 | ||||||||
\(989\) | −27.5572 | − | 15.9101i | −0.876267 | − | 0.505913i | ||||
\(990\) | −32.4285 | − | 29.4745i | −1.03065 | − | 0.936760i | ||||
\(991\) | 15.5842 | + | 26.9927i | 0.495049 | + | 0.857450i | 0.999984 | − | 0.00570766i | \(-0.00181681\pi\) |
−0.504935 | + | 0.863157i | \(0.668483\pi\) | |||||||
\(992\) | −6.93552 | + | 12.0127i | −0.220203 | + | 0.381403i | ||||
\(993\) | −9.17934 | + | 1.43188i | −0.291297 | + | 0.0454393i | ||||
\(994\) | 46.6110 | + | 5.11649i | 1.47841 | + | 0.162285i | ||||
\(995\) | 44.3747i | 1.40677i | ||||||||
\(996\) | −27.4643 | + | 71.0501i | −0.870240 | + | 2.25131i | ||||
\(997\) | 22.8831 | − | 13.2115i | 0.724714 | − | 0.418414i | −0.0917712 | − | 0.995780i | \(-0.529253\pi\) |
0.816485 | + | 0.577366i | \(0.195920\pi\) | |||||||
\(998\) | 10.5852 | − | 6.11138i | 0.335069 | − | 0.193452i | ||||
\(999\) | −2.11932 | + | 35.6534i | −0.0670522 | + | 1.12802i |
(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 | 861.2.s.a.698.4 | yes | 106 | |
3.2 | odd | 2 | 861.2.s.b.698.50 | yes | 106 | ||
7.3 | odd | 6 | 861.2.s.b.206.50 | yes | 106 | ||
21.17 | even | 6 | inner | 861.2.s.a.206.4 | ✓ | 106 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
861.2.s.a.206.4 | ✓ | 106 | 21.17 | even | 6 | inner | |
861.2.s.a.698.4 | yes | 106 | 1.1 | even | 1 | trivial | |
861.2.s.b.206.50 | yes | 106 | 7.3 | odd | 6 | ||
861.2.s.b.698.50 | yes | 106 | 3.2 | odd | 2 |