Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [95,2,Mod(6,95)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(95, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("95.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.k (of order \(9\), degree \(6\), 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: | \(0.758578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 3 x^{17} + 15 x^{16} - 14 x^{15} + 72 x^{14} - 51 x^{13} + 231 x^{12} - 93 x^{11} + 438 x^{10} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 81.3 | ||
Root | \(0.653994 + 1.13275i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 95.81 |
Dual form | 95.2.k.a.61.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.289414 | − | 0.105338i | 0.204647 | − | 0.0744854i | −0.237663 | − | 0.971348i | \(-0.576381\pi\) |
0.442310 | + | 0.896862i | \(0.354159\pi\) | |||||||
\(3\) | −0.285463 | + | 1.61894i | −0.164812 | + | 0.934697i | 0.784445 | + | 0.620198i | \(0.212948\pi\) |
−0.949258 | + | 0.314499i | \(0.898163\pi\) | |||||||
\(4\) | −1.45942 | + | 1.22460i | −0.729712 | + | 0.612301i | ||||
\(5\) | 0.766044 | + | 0.642788i | 0.342585 | + | 0.287463i | ||||
\(6\) | 0.0879194 | + | 0.498616i | 0.0358929 | + | 0.203559i | ||||
\(7\) | −0.0445979 | − | 0.0772459i | −0.0168564 | − | 0.0291962i | 0.857474 | − | 0.514527i | \(-0.172032\pi\) |
−0.874331 | + | 0.485331i | \(0.838699\pi\) | |||||||
\(8\) | −0.601369 | + | 1.04160i | −0.212616 | + | 0.368262i | ||||
\(9\) | 0.279590 | + | 0.101762i | 0.0931966 | + | 0.0339208i | ||||
\(10\) | 0.289414 | + | 0.105338i | 0.0915208 | + | 0.0333109i | ||||
\(11\) | 1.68341 | − | 2.91575i | 0.507567 | − | 0.879133i | −0.492394 | − | 0.870372i | \(-0.663878\pi\) |
0.999962 | − | 0.00876033i | \(-0.00278854\pi\) | |||||||
\(12\) | −1.56595 | − | 2.71230i | −0.452051 | − | 0.782975i | ||||
\(13\) | 0.0369645 | + | 0.209636i | 0.0102521 | + | 0.0581426i | 0.989505 | − | 0.144501i | \(-0.0461578\pi\) |
−0.979253 | + | 0.202644i | \(0.935047\pi\) | |||||||
\(14\) | −0.0210442 | − | 0.0176582i | −0.00562431 | − | 0.00471935i | ||||
\(15\) | −1.25931 | + | 1.05669i | −0.325154 | + | 0.272836i | ||||
\(16\) | 0.597325 | − | 3.38760i | 0.149331 | − | 0.846899i | ||||
\(17\) | 2.36261 | − | 0.859918i | 0.573016 | − | 0.208561i | −0.0392271 | − | 0.999230i | \(-0.512490\pi\) |
0.612243 | + | 0.790670i | \(0.290267\pi\) | |||||||
\(18\) | 0.0916368 | 0.0215990 | ||||||||
\(19\) | 0.949628 | − | 4.25420i | 0.217860 | − | 0.975980i | ||||
\(20\) | −1.90514 | −0.426003 | ||||||||
\(21\) | 0.137788 | − | 0.0501507i | 0.0300678 | − | 0.0109438i | ||||
\(22\) | 0.180063 | − | 1.02119i | 0.0383896 | − | 0.217718i | ||||
\(23\) | −4.57098 | + | 3.83550i | −0.953114 | + | 0.799758i | −0.979819 | − | 0.199885i | \(-0.935943\pi\) |
0.0267049 | + | 0.999643i | \(0.491499\pi\) | |||||||
\(24\) | −1.51463 | − | 1.27092i | −0.309172 | − | 0.259426i | ||||
\(25\) | 0.173648 | + | 0.984808i | 0.0347296 | + | 0.196962i | ||||
\(26\) | 0.0327807 | + | 0.0567779i | 0.00642883 | + | 0.0111351i | ||||
\(27\) | −2.71044 | + | 4.69462i | −0.521624 | + | 0.903479i | ||||
\(28\) | 0.159683 | + | 0.0581198i | 0.0301772 | + | 0.0109836i | ||||
\(29\) | 4.51826 | + | 1.64451i | 0.839019 | + | 0.305378i | 0.725555 | − | 0.688164i | \(-0.241583\pi\) |
0.113464 | + | 0.993542i | \(0.463805\pi\) | |||||||
\(30\) | −0.253154 | + | 0.438475i | −0.0462193 | + | 0.0800542i | ||||
\(31\) | −4.03407 | − | 6.98722i | −0.724541 | − | 1.25494i | −0.959163 | − | 0.282855i | \(-0.908718\pi\) |
0.234621 | − | 0.972087i | \(-0.424615\pi\) | |||||||
\(32\) | −0.601676 | − | 3.41227i | −0.106362 | − | 0.603210i | ||||
\(33\) | 4.23989 | + | 3.55769i | 0.738070 | + | 0.619314i | ||||
\(34\) | 0.593190 | − | 0.497745i | 0.101731 | − | 0.0853626i | ||||
\(35\) | 0.0154887 | − | 0.0878408i | 0.00261807 | − | 0.0148478i | ||||
\(36\) | −0.532659 | + | 0.193872i | −0.0887765 | + | 0.0323120i | ||||
\(37\) | 1.84372 | 0.303106 | 0.151553 | − | 0.988449i | \(-0.451573\pi\) | ||||
0.151553 | + | 0.988449i | \(0.451573\pi\) | |||||||
\(38\) | −0.173294 | − | 1.33126i | −0.0281119 | − | 0.215959i | ||||
\(39\) | −0.349941 | −0.0560354 | ||||||||
\(40\) | −1.13020 | + | 0.411361i | −0.178701 | + | 0.0650418i | ||||
\(41\) | −0.523087 | + | 2.96657i | −0.0816925 | + | 0.463301i | 0.916329 | + | 0.400426i | \(0.131138\pi\) |
−0.998021 | + | 0.0628748i | \(0.979973\pi\) | |||||||
\(42\) | 0.0345950 | − | 0.0290286i | 0.00533812 | − | 0.00447922i | ||||
\(43\) | −1.87518 | − | 1.57346i | −0.285962 | − | 0.239951i | 0.488511 | − | 0.872558i | \(-0.337540\pi\) |
−0.774473 | + | 0.632607i | \(0.781985\pi\) | |||||||
\(44\) | 1.11383 | + | 6.31683i | 0.167916 | + | 0.952298i | ||||
\(45\) | 0.148767 | + | 0.257671i | 0.0221768 | + | 0.0384114i | ||||
\(46\) | −0.918881 | + | 1.59155i | −0.135482 | + | 0.234661i | ||||
\(47\) | 7.15887 | + | 2.60562i | 1.04423 | + | 0.380068i | 0.806482 | − | 0.591259i | \(-0.201369\pi\) |
0.237747 | + | 0.971327i | \(0.423591\pi\) | |||||||
\(48\) | 5.31381 | + | 1.93407i | 0.766983 | + | 0.279159i | ||||
\(49\) | 3.49602 | − | 6.05529i | 0.499432 | − | 0.865041i | ||||
\(50\) | 0.153994 | + | 0.266726i | 0.0217781 | + | 0.0377207i | ||||
\(51\) | 0.717721 | + | 4.07040i | 0.100501 | + | 0.569970i | ||||
\(52\) | −0.310668 | − | 0.260681i | −0.0430818 | − | 0.0361500i | ||||
\(53\) | −6.43452 | + | 5.39920i | −0.883849 | + | 0.741637i | −0.966967 | − | 0.254902i | \(-0.917957\pi\) |
0.0831178 | + | 0.996540i | \(0.473512\pi\) | |||||||
\(54\) | −0.289917 | + | 1.64420i | −0.0394527 | + | 0.223747i | ||||
\(55\) | 3.16378 | − | 1.15152i | 0.426604 | − | 0.155271i | ||||
\(56\) | 0.107279 | 0.0143358 | ||||||||
\(57\) | 6.61622 | + | 2.75181i | 0.876340 | + | 0.364486i | ||||
\(58\) | 1.48088 | 0.194449 | ||||||||
\(59\) | −9.80610 | + | 3.56913i | −1.27665 | + | 0.464661i | −0.889321 | − | 0.457283i | \(-0.848823\pi\) |
−0.387324 | + | 0.921944i | \(0.626600\pi\) | |||||||
\(60\) | 0.543849 | − | 3.08432i | 0.0702106 | − | 0.398184i | ||||
\(61\) | −0.757296 | + | 0.635447i | −0.0969618 | + | 0.0813606i | −0.689980 | − | 0.723828i | \(-0.742381\pi\) |
0.593018 | + | 0.805189i | \(0.297936\pi\) | |||||||
\(62\) | −1.90354 | − | 1.59726i | −0.241750 | − | 0.202852i | ||||
\(63\) | −0.00460841 | − | 0.0261356i | −0.000580605 | − | 0.00329277i | ||||
\(64\) | 2.90628 | + | 5.03383i | 0.363285 | + | 0.629228i | ||||
\(65\) | −0.106435 | + | 0.184351i | −0.0132016 | + | 0.0228659i | ||||
\(66\) | 1.60184 | + | 0.583024i | 0.197173 | + | 0.0717653i | ||||
\(67\) | −9.37780 | − | 3.41324i | −1.14568 | − | 0.416994i | −0.301719 | − | 0.953397i | \(-0.597560\pi\) |
−0.843962 | + | 0.536403i | \(0.819783\pi\) | |||||||
\(68\) | −2.39499 | + | 4.14824i | −0.290435 | + | 0.503048i | ||||
\(69\) | −4.90462 | − | 8.49505i | −0.590447 | − | 1.02268i | ||||
\(70\) | −0.00477034 | − | 0.0270539i | −0.000570165 | − | 0.00323356i | ||||
\(71\) | 4.73200 | + | 3.97062i | 0.561585 | + | 0.471226i | 0.878841 | − | 0.477114i | \(-0.158317\pi\) |
−0.317256 | + | 0.948340i | \(0.602762\pi\) | |||||||
\(72\) | −0.274133 | + | 0.230025i | −0.0323068 | + | 0.0271087i | ||||
\(73\) | 2.73409 | − | 15.5058i | 0.320001 | − | 1.81482i | −0.222695 | − | 0.974888i | \(-0.571485\pi\) |
0.542696 | − | 0.839929i | \(-0.317403\pi\) | |||||||
\(74\) | 0.533599 | − | 0.194214i | 0.0620296 | − | 0.0225769i | ||||
\(75\) | −1.64392 | −0.189823 | ||||||||
\(76\) | 3.82379 | + | 7.37160i | 0.438619 | + | 0.845580i | ||||
\(77\) | −0.300307 | −0.0342231 | ||||||||
\(78\) | −0.101278 | + | 0.0368621i | −0.0114675 | + | 0.00417381i | ||||
\(79\) | −0.178596 | + | 1.01287i | −0.0200936 | + | 0.113957i | −0.993205 | − | 0.116379i | \(-0.962871\pi\) |
0.973111 | + | 0.230336i | \(0.0739824\pi\) | |||||||
\(80\) | 2.63508 | − | 2.21110i | 0.294611 | − | 0.247208i | ||||
\(81\) | −6.14281 | − | 5.15443i | −0.682535 | − | 0.572715i | ||||
\(82\) | 0.161105 | + | 0.913670i | 0.0177910 | + | 0.100898i | ||||
\(83\) | −8.96939 | − | 15.5354i | −0.984518 | − | 1.70524i | −0.644059 | − | 0.764976i | \(-0.722751\pi\) |
−0.340459 | − | 0.940259i | \(-0.610582\pi\) | |||||||
\(84\) | −0.139676 | + | 0.241926i | −0.0152399 | + | 0.0263963i | ||||
\(85\) | 2.36261 | + | 0.859918i | 0.256261 | + | 0.0932712i | ||||
\(86\) | −0.708449 | − | 0.257854i | −0.0763940 | − | 0.0278052i | ||||
\(87\) | −3.95217 | + | 6.84536i | −0.423717 | + | 0.733899i | ||||
\(88\) | 2.02470 | + | 3.50689i | 0.215834 | + | 0.373836i | ||||
\(89\) | 0.113975 | + | 0.646383i | 0.0120813 | + | 0.0685164i | 0.990252 | − | 0.139285i | \(-0.0444804\pi\) |
−0.978171 | + | 0.207801i | \(0.933369\pi\) | |||||||
\(90\) | 0.0701979 | + | 0.0589030i | 0.00739950 | + | 0.00620892i | ||||
\(91\) | 0.0145450 | − | 0.0122047i | 0.00152473 | − | 0.00127940i | ||||
\(92\) | 1.97403 | − | 11.1953i | 0.205806 | − | 1.16719i | ||||
\(93\) | 12.4635 | − | 4.53634i | 1.29240 | − | 0.470397i | ||||
\(94\) | 2.34635 | 0.242008 | ||||||||
\(95\) | 3.46200 | − | 2.64850i | 0.355194 | − | 0.271730i | ||||
\(96\) | 5.69603 | 0.581349 | ||||||||
\(97\) | −15.7991 | + | 5.75040i | −1.60416 | + | 0.583865i | −0.980272 | − | 0.197653i | \(-0.936668\pi\) |
−0.623883 | + | 0.781518i | \(0.714446\pi\) | |||||||
\(98\) | 0.373946 | − | 2.12075i | 0.0377742 | − | 0.214228i | ||||
\(99\) | 0.767379 | − | 0.643907i | 0.0771245 | − | 0.0647151i | ||||
\(100\) | −1.45942 | − | 1.22460i | −0.145942 | − | 0.122460i | ||||
\(101\) | 0.638978 | + | 3.62382i | 0.0635806 | + | 0.360584i | 0.999954 | + | 0.00957849i | \(0.00304897\pi\) |
−0.936373 | + | 0.351005i | \(0.885840\pi\) | |||||||
\(102\) | 0.636488 | + | 1.10243i | 0.0630217 | + | 0.109157i | ||||
\(103\) | 1.76710 | − | 3.06071i | 0.174118 | − | 0.301580i | −0.765738 | − | 0.643153i | \(-0.777626\pi\) |
0.939856 | + | 0.341572i | \(0.110959\pi\) | |||||||
\(104\) | −0.240587 | − | 0.0875664i | −0.0235915 | − | 0.00858659i | ||||
\(105\) | 0.137788 | + | 0.0501507i | 0.0134467 | + | 0.00489420i | ||||
\(106\) | −1.29350 | + | 2.24041i | −0.125636 | + | 0.217608i | ||||
\(107\) | 0.943300 | + | 1.63384i | 0.0911923 | + | 0.157950i | 0.908013 | − | 0.418942i | \(-0.137599\pi\) |
−0.816821 | + | 0.576891i | \(0.804266\pi\) | |||||||
\(108\) | −1.79336 | − | 10.1706i | −0.172566 | − | 0.978671i | ||||
\(109\) | −10.0810 | − | 8.45901i | −0.965589 | − | 0.810226i | 0.0162639 | − | 0.999868i | \(-0.494823\pi\) |
−0.981853 | + | 0.189642i | \(0.939267\pi\) | |||||||
\(110\) | 0.794343 | − | 0.666533i | 0.0757377 | − | 0.0635515i | ||||
\(111\) | −0.526315 | + | 2.98488i | −0.0499556 | + | 0.283312i | ||||
\(112\) | −0.288318 | + | 0.104939i | −0.0272434 | + | 0.00991580i | ||||
\(113\) | 12.3456 | 1.16138 | 0.580689 | − | 0.814125i | \(-0.302783\pi\) | ||||
0.580689 | + | 0.814125i | \(0.302783\pi\) | |||||||
\(114\) | 2.20470 | + | 0.0994730i | 0.206489 | + | 0.00931650i | ||||
\(115\) | −5.96699 | −0.556424 | ||||||||
\(116\) | −8.60793 | + | 3.13303i | −0.799226 | + | 0.290895i | ||||
\(117\) | −0.0109982 | + | 0.0623737i | −0.00101678 | + | 0.00576645i | ||||
\(118\) | −2.46206 | + | 2.06591i | −0.226651 | + | 0.190183i | ||||
\(119\) | −0.171793 | − | 0.144151i | −0.0157482 | − | 0.0132143i | ||||
\(120\) | −0.343338 | − | 1.94717i | −0.0313423 | − | 0.177751i | ||||
\(121\) | −0.167744 | − | 0.290542i | −0.0152495 | − | 0.0264129i | ||||
\(122\) | −0.152235 | + | 0.263680i | −0.0137827 | + | 0.0238724i | ||||
\(123\) | −4.65339 | − | 1.69370i | −0.419582 | − | 0.152716i | ||||
\(124\) | 14.4440 | + | 5.25718i | 1.29711 | + | 0.472109i | ||||
\(125\) | −0.500000 | + | 0.866025i | −0.0447214 | + | 0.0774597i | ||||
\(126\) | −0.00408681 | − | 0.00707857i | −0.000364082 | − | 0.000630609i | ||||
\(127\) | 3.68344 | + | 20.8898i | 0.326852 | + | 1.85367i | 0.496325 | + | 0.868137i | \(0.334682\pi\) |
−0.169473 | + | 0.985535i | \(0.554207\pi\) | |||||||
\(128\) | 6.67993 | + | 5.60512i | 0.590428 | + | 0.495428i | ||||
\(129\) | 3.08264 | − | 2.58664i | 0.271411 | − | 0.227741i | ||||
\(130\) | −0.0113846 | + | 0.0645654i | −0.000998498 | + | 0.00566276i | ||||
\(131\) | −6.53156 | + | 2.37729i | −0.570665 | + | 0.207705i | −0.611204 | − | 0.791473i | \(-0.709315\pi\) |
0.0405392 | + | 0.999178i | \(0.487092\pi\) | |||||||
\(132\) | −10.5445 | −0.917785 | ||||||||
\(133\) | −0.370971 | + | 0.116374i | −0.0321673 | + | 0.0100909i | ||||
\(134\) | −3.07361 | −0.265520 | ||||||||
\(135\) | −5.09396 | + | 1.85405i | −0.438418 | + | 0.159571i | ||||
\(136\) | −0.525106 | + | 2.97802i | −0.0450275 | + | 0.255363i | ||||
\(137\) | 16.0922 | − | 13.5029i | 1.37485 | − | 1.15363i | 0.403772 | − | 0.914860i | \(-0.367699\pi\) |
0.971075 | − | 0.238774i | \(-0.0767456\pi\) | |||||||
\(138\) | −2.31432 | − | 1.94194i | −0.197008 | − | 0.165309i | ||||
\(139\) | 2.72999 | + | 15.4826i | 0.231555 | + | 1.31321i | 0.849749 | + | 0.527188i | \(0.176754\pi\) |
−0.618194 | + | 0.786026i | \(0.712135\pi\) | |||||||
\(140\) | 0.0849655 | + | 0.147165i | 0.00718089 | + | 0.0124377i | ||||
\(141\) | −6.26194 | + | 10.8460i | −0.527351 | + | 0.913398i | ||||
\(142\) | 1.78777 | + | 0.650694i | 0.150026 | + | 0.0546050i | ||||
\(143\) | 0.673473 | + | 0.245124i | 0.0563187 | + | 0.0204983i | ||||
\(144\) | 0.511736 | − | 0.886353i | 0.0426447 | − | 0.0738627i | ||||
\(145\) | 2.40411 | + | 4.16405i | 0.199651 | + | 0.345805i | ||||
\(146\) | −0.842068 | − | 4.77561i | −0.0696901 | − | 0.395232i | ||||
\(147\) | 8.80518 | + | 7.38842i | 0.726239 | + | 0.609387i | ||||
\(148\) | −2.69077 | + | 2.25782i | −0.221180 | + | 0.185592i | ||||
\(149\) | −3.38951 | + | 19.2229i | −0.277679 | + | 1.57480i | 0.452641 | + | 0.891693i | \(0.350482\pi\) |
−0.730320 | + | 0.683105i | \(0.760629\pi\) | |||||||
\(150\) | −0.475773 | + | 0.173167i | −0.0388467 | + | 0.0141391i | ||||
\(151\) | 11.2284 | 0.913758 | 0.456879 | − | 0.889529i | \(-0.348967\pi\) | ||||
0.456879 | + | 0.889529i | \(0.348967\pi\) | |||||||
\(152\) | 3.86010 | + | 3.54748i | 0.313096 | + | 0.287739i | ||||
\(153\) | 0.748068 | 0.0604777 | ||||||||
\(154\) | −0.0869131 | + | 0.0316338i | −0.00700365 | + | 0.00254912i | ||||
\(155\) | 1.40102 | − | 7.94558i | 0.112533 | − | 0.638204i | ||||
\(156\) | 0.510712 | − | 0.428538i | 0.0408897 | − | 0.0343105i | ||||
\(157\) | 3.53362 | + | 2.96506i | 0.282014 | + | 0.236637i | 0.772811 | − | 0.634636i | \(-0.218850\pi\) |
−0.490797 | + | 0.871274i | \(0.663295\pi\) | |||||||
\(158\) | 0.0550055 | + | 0.311951i | 0.00437600 | + | 0.0248175i | ||||
\(159\) | −6.90418 | − | 11.9584i | −0.547537 | − | 0.948362i | ||||
\(160\) | 1.73246 | − | 3.00070i | 0.136963 | − | 0.237226i | ||||
\(161\) | 0.500133 | + | 0.182034i | 0.0394160 | + | 0.0143463i | ||||
\(162\) | −2.32078 | − | 0.844694i | −0.182337 | − | 0.0663654i | ||||
\(163\) | 0.287367 | − | 0.497735i | 0.0225084 | − | 0.0389856i | −0.854552 | − | 0.519366i | \(-0.826168\pi\) |
0.877060 | + | 0.480381i | \(0.159501\pi\) | |||||||
\(164\) | −2.86947 | − | 4.97007i | −0.224068 | − | 0.388097i | ||||
\(165\) | 0.961104 | + | 5.45069i | 0.0748219 | + | 0.424336i | ||||
\(166\) | −4.23234 | − | 3.55136i | −0.328494 | − | 0.275639i | ||||
\(167\) | 3.15765 | − | 2.64958i | 0.244346 | − | 0.205031i | −0.512387 | − | 0.858755i | \(-0.671239\pi\) |
0.756733 | + | 0.653724i | \(0.226794\pi\) | |||||||
\(168\) | −0.0306243 | + | 0.173679i | −0.00236272 | + | 0.0133996i | ||||
\(169\) | 12.1734 | − | 4.43076i | 0.936417 | − | 0.340828i | ||||
\(170\) | 0.774354 | 0.0593903 | ||||||||
\(171\) | 0.698424 | − | 1.09279i | 0.0534098 | − | 0.0835681i | ||||
\(172\) | 4.66355 | 0.355592 | ||||||||
\(173\) | 6.04652 | − | 2.20075i | 0.459709 | − | 0.167320i | −0.101776 | − | 0.994807i | \(-0.532453\pi\) |
0.561485 | + | 0.827487i | \(0.310230\pi\) | |||||||
\(174\) | −0.422737 | + | 2.39746i | −0.0320476 | + | 0.181751i | ||||
\(175\) | 0.0683280 | − | 0.0573340i | 0.00516511 | − | 0.00433404i | ||||
\(176\) | −8.87186 | − | 7.44437i | −0.668741 | − | 0.561141i | ||||
\(177\) | −2.97893 | − | 16.8944i | −0.223910 | − | 1.26986i | ||||
\(178\) | 0.101075 | + | 0.175066i | 0.00757587 | + | 0.0131218i | ||||
\(179\) | −1.91516 | + | 3.31715i | −0.143146 | + | 0.247936i | −0.928680 | − | 0.370883i | \(-0.879055\pi\) |
0.785534 | + | 0.618819i | \(0.212388\pi\) | |||||||
\(180\) | −0.532659 | − | 0.193872i | −0.0397020 | − | 0.0144504i | ||||
\(181\) | −15.6814 | − | 5.70755i | −1.16559 | − | 0.424239i | −0.314496 | − | 0.949259i | \(-0.601836\pi\) |
−0.851090 | + | 0.525020i | \(0.824058\pi\) | |||||||
\(182\) | 0.00292391 | − | 0.00506435i | 0.000216734 | − | 0.000375395i | ||||
\(183\) | −0.812572 | − | 1.40742i | −0.0600670 | − | 0.104039i | ||||
\(184\) | −1.24622 | − | 7.06769i | −0.0918729 | − | 0.521037i | ||||
\(185\) | 1.41237 | + | 1.18512i | 0.103840 | + | 0.0871318i | ||||
\(186\) | 3.12926 | − | 2.62576i | 0.229449 | − | 0.192530i | ||||
\(187\) | 1.46993 | − | 8.33637i | 0.107492 | − | 0.609616i | ||||
\(188\) | −13.6387 | + | 4.96407i | −0.994703 | + | 0.362042i | ||||
\(189\) | 0.483520 | 0.0351709 | ||||||||
\(190\) | 0.722966 | − | 1.13119i | 0.0524494 | − | 0.0820654i | ||||
\(191\) | 7.92694 | 0.573573 | 0.286787 | − | 0.957994i | \(-0.407413\pi\) | ||||
0.286787 | + | 0.957994i | \(0.407413\pi\) | |||||||
\(192\) | −8.97912 | + | 3.26813i | −0.648012 | + | 0.235857i | ||||
\(193\) | −3.69296 | + | 20.9438i | −0.265825 | + | 1.50757i | 0.500851 | + | 0.865533i | \(0.333020\pi\) |
−0.766676 | + | 0.642034i | \(0.778091\pi\) | |||||||
\(194\) | −3.96675 | + | 3.32850i | −0.284796 | + | 0.238972i | ||||
\(195\) | −0.268070 | − | 0.224938i | −0.0191969 | − | 0.0161081i | ||||
\(196\) | 2.31314 | + | 13.1185i | 0.165224 | + | 0.937034i | ||||
\(197\) | −1.44371 | − | 2.50058i | −0.102860 | − | 0.178159i | 0.810002 | − | 0.586427i | \(-0.199466\pi\) |
−0.912862 | + | 0.408268i | \(0.866133\pi\) | |||||||
\(198\) | 0.154262 | − | 0.267190i | 0.0109629 | − | 0.0189884i | ||||
\(199\) | −10.9144 | − | 3.97251i | −0.773701 | − | 0.281604i | −0.0751574 | − | 0.997172i | \(-0.523946\pi\) |
−0.698544 | + | 0.715568i | \(0.746168\pi\) | |||||||
\(200\) | −1.13020 | − | 0.411361i | −0.0799175 | − | 0.0290876i | ||||
\(201\) | 8.20286 | − | 14.2078i | 0.578585 | − | 1.00214i | ||||
\(202\) | 0.566656 | + | 0.981477i | 0.0398698 | + | 0.0690565i | ||||
\(203\) | −0.0744732 | − | 0.422359i | −0.00522700 | − | 0.0296438i | ||||
\(204\) | −6.03208 | − | 5.06152i | −0.422330 | − | 0.354377i | ||||
\(205\) | −2.30759 | + | 1.93629i | −0.161169 | + | 0.135237i | ||||
\(206\) | 0.189015 | − | 1.07196i | 0.0131693 | − | 0.0746867i | ||||
\(207\) | −1.66831 | + | 0.607215i | −0.115955 | + | 0.0422043i | ||||
\(208\) | 0.732242 | 0.0507719 | ||||||||
\(209\) | −10.8056 | − | 9.93045i | −0.747437 | − | 0.686903i | ||||
\(210\) | 0.0451606 | 0.00311637 | ||||||||
\(211\) | 22.2708 | − | 8.10590i | 1.53318 | − | 0.558033i | 0.568784 | − | 0.822487i | \(-0.307414\pi\) |
0.964398 | + | 0.264454i | \(0.0851916\pi\) | |||||||
\(212\) | 2.77882 | − | 15.7595i | 0.190850 | − | 1.08236i | ||||
\(213\) | −7.77902 | + | 6.52737i | −0.533010 | + | 0.447248i | ||||
\(214\) | 0.445111 | + | 0.373492i | 0.0304272 | + | 0.0255314i | ||||
\(215\) | −0.425068 | − | 2.41068i | −0.0289894 | − | 0.164407i | ||||
\(216\) | −3.25995 | − | 5.64639i | −0.221811 | − | 0.384188i | ||||
\(217\) | −0.359823 | + | 0.623232i | −0.0244264 | + | 0.0423077i | ||||
\(218\) | −3.80866 | − | 1.38624i | −0.257955 | − | 0.0938879i | ||||
\(219\) | 24.3225 | + | 8.85268i | 1.64356 | + | 0.598209i | ||||
\(220\) | −3.20714 | + | 5.55493i | −0.216225 | + | 0.374513i | ||||
\(221\) | 0.267602 | + | 0.463501i | 0.0180009 | + | 0.0311784i | ||||
\(222\) | 0.162099 | + | 0.919308i | 0.0108794 | + | 0.0616999i | ||||
\(223\) | −6.75335 | − | 5.66673i | −0.452237 | − | 0.379472i | 0.388028 | − | 0.921648i | \(-0.373156\pi\) |
−0.840265 | + | 0.542175i | \(0.817601\pi\) | |||||||
\(224\) | −0.236751 | + | 0.198657i | −0.0158186 | + | 0.0132734i | ||||
\(225\) | −0.0516661 | + | 0.293013i | −0.00344441 | + | 0.0195342i | ||||
\(226\) | 3.57300 | − | 1.30047i | 0.237672 | − | 0.0865057i | ||||
\(227\) | −1.04512 | −0.0693671 | −0.0346835 | − | 0.999398i | \(-0.511042\pi\) | ||||
−0.0346835 | + | 0.999398i | \(0.511042\pi\) | |||||||
\(228\) | −13.0258 | + | 4.08618i | −0.862651 | + | 0.270614i | ||||
\(229\) | −13.4837 | −0.891031 | −0.445515 | − | 0.895274i | \(-0.646980\pi\) | ||||
−0.445515 | + | 0.895274i | \(0.646980\pi\) | |||||||
\(230\) | −1.72693 | + | 0.628551i | −0.113870 | + | 0.0414455i | ||||
\(231\) | 0.0857266 | − | 0.486179i | 0.00564039 | − | 0.0319883i | ||||
\(232\) | −4.43007 | + | 3.71727i | −0.290848 | + | 0.244051i | ||||
\(233\) | 8.59336 | + | 7.21068i | 0.562970 | + | 0.472388i | 0.879305 | − | 0.476260i | \(-0.158008\pi\) |
−0.316335 | + | 0.948648i | \(0.602452\pi\) | |||||||
\(234\) | 0.00338731 | + | 0.0192104i | 0.000221435 | + | 0.00125582i | ||||
\(235\) | 3.80916 | + | 6.59765i | 0.248482 | + | 0.430383i | ||||
\(236\) | 9.94050 | − | 17.2174i | 0.647071 | − | 1.12076i | ||||
\(237\) | −1.58879 | − | 0.578273i | −0.103203 | − | 0.0375629i | ||||
\(238\) | −0.0649038 | − | 0.0236231i | −0.00420709 | − | 0.00153126i | ||||
\(239\) | 10.1645 | − | 17.6054i | 0.657487 | − | 1.13880i | −0.323777 | − | 0.946133i | \(-0.604953\pi\) |
0.981264 | − | 0.192667i | \(-0.0617137\pi\) | |||||||
\(240\) | 2.82742 | + | 4.89724i | 0.182509 | + | 0.316115i | ||||
\(241\) | −0.667594 | − | 3.78611i | −0.0430035 | − | 0.243885i | 0.955727 | − | 0.294254i | \(-0.0950713\pi\) |
−0.998731 | + | 0.0503694i | \(0.983960\pi\) | |||||||
\(242\) | −0.0791528 | − | 0.0664171i | −0.00508814 | − | 0.00426945i | ||||
\(243\) | −2.35961 | + | 1.97995i | −0.151369 | + | 0.127014i | ||||
\(244\) | 0.327046 | − | 1.85477i | 0.0209370 | − | 0.118740i | ||||
\(245\) | 6.57037 | − | 2.39142i | 0.419766 | − | 0.152782i | ||||
\(246\) | −1.52517 | −0.0972413 | ||||||||
\(247\) | 0.926936 | + | 0.0418221i | 0.0589795 | + | 0.00266107i | ||||
\(248\) | 9.70387 | 0.616197 | ||||||||
\(249\) | 27.7114 | − | 10.0861i | 1.75614 | − | 0.639183i | ||||
\(250\) | −0.0534816 | + | 0.303309i | −0.00338247 | + | 0.0191830i | ||||
\(251\) | −6.08068 | + | 5.10229i | −0.383809 | + | 0.322054i | −0.814196 | − | 0.580591i | \(-0.802822\pi\) |
0.430387 | + | 0.902645i | \(0.358377\pi\) | |||||||
\(252\) | 0.0387313 | + | 0.0324994i | 0.00243984 | + | 0.00204727i | ||||
\(253\) | 3.48855 | + | 19.7846i | 0.219323 | + | 1.24385i | ||||
\(254\) | 3.26654 | + | 5.65781i | 0.204961 | + | 0.355002i | ||||
\(255\) | −2.06660 | + | 3.57945i | −0.129415 | + | 0.224154i | ||||
\(256\) | −8.40034 | − | 3.05747i | −0.525021 | − | 0.191092i | ||||
\(257\) | −22.7666 | − | 8.28638i | −1.42014 | − | 0.516890i | −0.486054 | − | 0.873929i | \(-0.661564\pi\) |
−0.934090 | + | 0.357038i | \(0.883787\pi\) | |||||||
\(258\) | 0.619688 | − | 1.07333i | 0.0385801 | − | 0.0668227i | ||||
\(259\) | −0.0822262 | − | 0.142420i | −0.00510928 | − | 0.00884954i | ||||
\(260\) | −0.0704226 | − | 0.399387i | −0.00436743 | − | 0.0247689i | ||||
\(261\) | 1.09591 | + | 0.919578i | 0.0678351 | + | 0.0569204i | ||||
\(262\) | −1.63991 | + | 1.37605i | −0.101314 | + | 0.0850124i | ||||
\(263\) | −2.14928 | + | 12.1892i | −0.132530 | + | 0.751617i | 0.844017 | + | 0.536316i | \(0.180184\pi\) |
−0.976548 | + | 0.215301i | \(0.930927\pi\) | |||||||
\(264\) | −6.25543 | + | 2.27679i | −0.384995 | + | 0.140127i | ||||
\(265\) | −8.39967 | −0.515987 | ||||||||
\(266\) | −0.0951057 | + | 0.0727576i | −0.00583131 | + | 0.00446105i | ||||
\(267\) | −1.07899 | −0.0660333 | ||||||||
\(268\) | 17.8660 | − | 6.50271i | 1.09134 | − | 0.397216i | ||||
\(269\) | −4.23334 | + | 24.0085i | −0.258111 | + | 1.46382i | 0.529846 | + | 0.848094i | \(0.322250\pi\) |
−0.787958 | + | 0.615729i | \(0.788862\pi\) | |||||||
\(270\) | −1.27896 | + | 1.07318i | −0.0778351 | + | 0.0653114i | ||||
\(271\) | 13.3432 | + | 11.1963i | 0.810540 | + | 0.680124i | 0.950737 | − | 0.310000i | \(-0.100329\pi\) |
−0.140196 | + | 0.990124i | \(0.544773\pi\) | |||||||
\(272\) | −1.50181 | − | 8.51721i | −0.0910608 | − | 0.516432i | ||||
\(273\) | 0.0156066 | + | 0.0270315i | 0.000944557 | + | 0.00163602i | ||||
\(274\) | 3.23493 | − | 5.60306i | 0.195429 | − | 0.338494i | ||||
\(275\) | 3.16378 | + | 1.15152i | 0.190783 | + | 0.0694393i | ||||
\(276\) | 17.5610 | + | 6.39167i | 1.05705 | + | 0.384733i | ||||
\(277\) | −10.3920 | + | 17.9994i | −0.624393 | + | 1.08148i | 0.364265 | + | 0.931295i | \(0.381320\pi\) |
−0.988658 | + | 0.150185i | \(0.952013\pi\) | |||||||
\(278\) | 2.42100 | + | 4.19330i | 0.145202 | + | 0.251498i | ||||
\(279\) | −0.416850 | − | 2.36407i | −0.0249562 | − | 0.141533i | ||||
\(280\) | 0.0821807 | + | 0.0689578i | 0.00491124 | + | 0.00412102i | ||||
\(281\) | −4.60383 | + | 3.86307i | −0.274641 | + | 0.230452i | −0.769696 | − | 0.638410i | \(-0.779592\pi\) |
0.495055 | + | 0.868862i | \(0.335148\pi\) | |||||||
\(282\) | −0.669797 | + | 3.79861i | −0.0398859 | + | 0.226204i | ||||
\(283\) | −10.8759 | + | 3.95849i | −0.646502 | + | 0.235308i | −0.644398 | − | 0.764690i | \(-0.722892\pi\) |
−0.00210419 | + | 0.999998i | \(0.500670\pi\) | |||||||
\(284\) | −11.7684 | −0.698327 | ||||||||
\(285\) | 3.29949 | + | 6.36084i | 0.195445 | + | 0.376783i | ||||
\(286\) | 0.220734 | 0.0130523 | ||||||||
\(287\) | 0.252484 | − | 0.0918968i | 0.0149037 | − | 0.00542450i | ||||
\(288\) | 0.179019 | − | 1.01526i | 0.0105488 | − | 0.0598251i | ||||
\(289\) | −8.18031 | + | 6.86409i | −0.481195 | + | 0.403770i | ||||
\(290\) | 1.13442 | + | 0.951890i | 0.0666154 | + | 0.0558969i | ||||
\(291\) | −4.79951 | − | 27.2194i | −0.281352 | − | 1.59563i | ||||
\(292\) | 14.9982 | + | 25.9777i | 0.877706 | + | 1.52023i | ||||
\(293\) | −8.73466 | + | 15.1289i | −0.510284 | + | 0.883838i | 0.489645 | + | 0.871922i | \(0.337126\pi\) |
−0.999929 | + | 0.0119163i | \(0.996207\pi\) | |||||||
\(294\) | 3.32663 | + | 1.21079i | 0.194013 | + | 0.0706149i | ||||
\(295\) | −9.80610 | − | 3.56913i | −0.570933 | − | 0.207803i | ||||
\(296\) | −1.10876 | + | 1.92042i | −0.0644452 | + | 0.111622i | ||||
\(297\) | 9.12556 | + | 15.8059i | 0.529519 | + | 0.917153i | ||||
\(298\) | 1.04393 | + | 5.92042i | 0.0604732 | + | 0.342961i | ||||
\(299\) | −0.973024 | − | 0.816464i | −0.0562714 | − | 0.0472173i | ||||
\(300\) | 2.39917 | − | 2.01315i | 0.138516 | − | 0.116229i | ||||
\(301\) | −0.0379144 | + | 0.215023i | −0.00218535 | + | 0.0123937i | ||||
\(302\) | 3.24967 | − | 1.18278i | 0.186998 | − | 0.0680616i | ||||
\(303\) | −6.04917 | −0.347516 | ||||||||
\(304\) | −13.8443 | − | 5.75810i | −0.794024 | − | 0.330250i | ||||
\(305\) | −0.988579 | −0.0566059 | ||||||||
\(306\) | 0.216502 | − | 0.0788002i | 0.0123766 | − | 0.00450470i | ||||
\(307\) | 5.14924 | − | 29.2028i | 0.293883 | − | 1.66669i | −0.377827 | − | 0.925876i | \(-0.623328\pi\) |
0.671709 | − | 0.740815i | \(-0.265560\pi\) | |||||||
\(308\) | 0.438275 | − | 0.367756i | 0.0249730 | − | 0.0209549i | ||||
\(309\) | 4.45067 | + | 3.73455i | 0.253190 | + | 0.212451i | ||||
\(310\) | −0.431498 | − | 2.44714i | −0.0245074 | − | 0.138988i | ||||
\(311\) | 5.81119 | + | 10.0653i | 0.329522 | + | 0.570749i | 0.982417 | − | 0.186699i | \(-0.0597790\pi\) |
−0.652895 | + | 0.757449i | \(0.726446\pi\) | |||||||
\(312\) | 0.210444 | − | 0.364499i | 0.0119140 | − | 0.0206357i | ||||
\(313\) | 0.446226 | + | 0.162413i | 0.0252222 | + | 0.00918012i | 0.354600 | − | 0.935018i | \(-0.384617\pi\) |
−0.329378 | + | 0.944198i | \(0.606839\pi\) | |||||||
\(314\) | 1.33501 | + | 0.485905i | 0.0753392 | + | 0.0274212i | ||||
\(315\) | 0.0132694 | − | 0.0229832i | 0.000747645 | − | 0.00129496i | ||||
\(316\) | −0.979713 | − | 1.69691i | −0.0551132 | − | 0.0954588i | ||||
\(317\) | −3.51260 | − | 19.9209i | −0.197287 | − | 1.11887i | −0.909124 | − | 0.416526i | \(-0.863247\pi\) |
0.711836 | − | 0.702345i | \(-0.247864\pi\) | |||||||
\(318\) | −3.25784 | − | 2.73366i | −0.182691 | − | 0.153296i | ||||
\(319\) | 12.4011 | − | 10.4057i | 0.694327 | − | 0.582609i | ||||
\(320\) | −1.00934 | + | 5.72426i | −0.0564239 | + | 0.319996i | ||||
\(321\) | −2.91438 | + | 1.06075i | −0.162665 | + | 0.0592051i | ||||
\(322\) | 0.163921 | 0.00913495 | ||||||||
\(323\) | −1.41467 | − | 10.8676i | −0.0787141 | − | 0.604689i | ||||
\(324\) | 15.2771 | 0.848728 | ||||||||
\(325\) | −0.200032 | + | 0.0728058i | −0.0110958 | + | 0.00403854i | ||||
\(326\) | 0.0307377 | − | 0.174322i | 0.00170241 | − | 0.00965483i | ||||
\(327\) | 16.5724 | − | 13.9059i | 0.916457 | − | 0.768999i | ||||
\(328\) | −2.77542 | − | 2.32886i | −0.153247 | − | 0.128590i | ||||
\(329\) | −0.117998 | − | 0.669199i | −0.00650543 | − | 0.0368941i | ||||
\(330\) | 0.852324 | + | 1.47627i | 0.0469189 | + | 0.0812659i | ||||
\(331\) | 3.00653 | − | 5.20746i | 0.165254 | − | 0.286228i | −0.771492 | − | 0.636240i | \(-0.780489\pi\) |
0.936745 | + | 0.350012i | \(0.113822\pi\) | |||||||
\(332\) | 32.1149 | + | 11.6889i | 1.76253 | + | 0.641509i | ||||
\(333\) | 0.515486 | + | 0.187621i | 0.0282484 | + | 0.0102816i | ||||
\(334\) | 0.634767 | − | 1.09945i | 0.0347329 | − | 0.0601591i | ||||
\(335\) | −4.98982 | − | 8.64263i | −0.272623 | − | 0.472197i | ||||
\(336\) | −0.0875862 | − | 0.496726i | −0.00477822 | − | 0.0270986i | ||||
\(337\) | −6.79277 | − | 5.69981i | −0.370026 | − | 0.310488i | 0.438746 | − | 0.898611i | \(-0.355423\pi\) |
−0.808772 | + | 0.588123i | \(0.799867\pi\) | |||||||
\(338\) | 3.05643 | − | 2.56465i | 0.166248 | − | 0.139499i | ||||
\(339\) | −3.52422 | + | 19.9869i | −0.191409 | + | 1.08554i | ||||
\(340\) | −4.50110 | + | 1.63827i | −0.244107 | + | 0.0888475i | ||||
\(341\) | −27.1640 | −1.47101 | ||||||||
\(342\) | 0.0870209 | − | 0.389841i | 0.00470555 | − | 0.0210802i | ||||
\(343\) | −1.24803 | −0.0673874 | ||||||||
\(344\) | 2.76660 | − | 1.00696i | 0.149165 | − | 0.0542916i | ||||
\(345\) | 1.70336 | − | 9.66021i | 0.0917056 | − | 0.520088i | ||||
\(346\) | 1.51813 | − | 1.27386i | 0.0816150 | − | 0.0684831i | ||||
\(347\) | 15.2988 | + | 12.8372i | 0.821284 | + | 0.689139i | 0.953272 | − | 0.302112i | \(-0.0976918\pi\) |
−0.131989 | + | 0.991251i | \(0.542136\pi\) | |||||||
\(348\) | −2.61495 | − | 14.8301i | −0.140176 | − | 0.794977i | ||||
\(349\) | 0.405107 | + | 0.701666i | 0.0216849 | + | 0.0375593i | 0.876664 | − | 0.481103i | \(-0.159764\pi\) |
−0.854979 | + | 0.518662i | \(0.826430\pi\) | |||||||
\(350\) | 0.0137356 | − | 0.0237908i | 0.000734201 | − | 0.00127167i | ||||
\(351\) | −1.08435 | − | 0.394671i | −0.0578783 | − | 0.0210660i | ||||
\(352\) | −10.9622 | − | 3.98992i | −0.584288 | − | 0.212663i | ||||
\(353\) | 10.4751 | − | 18.1435i | 0.557536 | − | 0.965681i | −0.440165 | − | 0.897917i | \(-0.645080\pi\) |
0.997701 | − | 0.0677639i | \(-0.0215865\pi\) | |||||||
\(354\) | −2.64177 | − | 4.57568i | −0.140408 | − | 0.243195i | ||||
\(355\) | 1.07266 | + | 6.08334i | 0.0569307 | + | 0.322870i | ||||
\(356\) | −0.957899 | − | 0.803773i | −0.0507686 | − | 0.0425999i | ||||
\(357\) | 0.282413 | − | 0.236973i | 0.0149469 | − | 0.0125419i | ||||
\(358\) | −0.204851 | + | 1.16177i | −0.0108267 | + | 0.0614015i | ||||
\(359\) | −24.1518 | + | 8.79055i | −1.27469 | + | 0.463948i | −0.888671 | − | 0.458545i | \(-0.848371\pi\) |
−0.386015 | + | 0.922493i | \(0.626149\pi\) | |||||||
\(360\) | −0.357855 | −0.0188606 | ||||||||
\(361\) | −17.1964 | − | 8.07982i | −0.905074 | − | 0.425253i | ||||
\(362\) | −5.13963 | −0.270133 | ||||||||
\(363\) | 0.518256 | − | 0.188630i | 0.0272014 | − | 0.00990049i | ||||
\(364\) | −0.00628141 | + | 0.0356236i | −0.000329235 | + | 0.00186719i | ||||
\(365\) | 12.0614 | − | 10.1207i | 0.631321 | − | 0.529741i | ||||
\(366\) | −0.383425 | − | 0.321731i | −0.0200419 | − | 0.0168172i | ||||
\(367\) | −4.21721 | − | 23.9170i | −0.220137 | − | 1.24846i | −0.871767 | − | 0.489921i | \(-0.837026\pi\) |
0.651630 | − | 0.758537i | \(-0.274085\pi\) | |||||||
\(368\) | 10.2628 | + | 17.7757i | 0.534985 | + | 0.926621i | ||||
\(369\) | −0.448136 | + | 0.776194i | −0.0233290 | + | 0.0404070i | ||||
\(370\) | 0.533599 | + | 0.194214i | 0.0277405 | + | 0.0100967i | ||||
\(371\) | 0.704033 | + | 0.256247i | 0.0365515 | + | 0.0133037i | ||||
\(372\) | −12.6343 | + | 21.8833i | −0.655059 | + | 1.13460i | ||||
\(373\) | −5.44043 | − | 9.42310i | −0.281695 | − | 0.487910i | 0.690107 | − | 0.723707i | \(-0.257563\pi\) |
−0.971802 | + | 0.235797i | \(0.924230\pi\) | |||||||
\(374\) | −0.452720 | − | 2.56750i | −0.0234096 | − | 0.132763i | ||||
\(375\) | −1.25931 | − | 1.05669i | −0.0650307 | − | 0.0545672i | ||||
\(376\) | −7.01914 | + | 5.88976i | −0.361985 | + | 0.303741i | ||||
\(377\) | −0.177734 | + | 1.00798i | −0.00915375 | + | 0.0519135i | ||||
\(378\) | 0.139938 | − | 0.0509331i | 0.00719761 | − | 0.00261972i | ||||
\(379\) | 19.3318 | 0.993008 | 0.496504 | − | 0.868034i | \(-0.334617\pi\) | ||||
0.496504 | + | 0.868034i | \(0.334617\pi\) | |||||||
\(380\) | −1.80918 | + | 8.10486i | −0.0928089 | + | 0.415770i | ||||
\(381\) | −34.8709 | −1.78649 | ||||||||
\(382\) | 2.29417 | − | 0.835009i | 0.117380 | − | 0.0427228i | ||||
\(383\) | −0.181124 | + | 1.02720i | −0.00925498 | + | 0.0524876i | −0.989086 | − | 0.147343i | \(-0.952928\pi\) |
0.979831 | + | 0.199830i | \(0.0640391\pi\) | |||||||
\(384\) | −10.9813 | + | 9.21437i | −0.560385 | + | 0.470219i | ||||
\(385\) | −0.230048 | − | 0.193033i | −0.0117243 | − | 0.00983789i | ||||
\(386\) | 1.13739 | + | 6.45045i | 0.0578915 | + | 0.328319i | ||||
\(387\) | −0.364162 | − | 0.630747i | −0.0185114 | − | 0.0320627i | ||||
\(388\) | 16.0156 | − | 27.7399i | 0.813070 | − | 1.40828i | ||||
\(389\) | −24.9988 | − | 9.09880i | −1.26749 | − | 0.461328i | −0.381213 | − | 0.924487i | \(-0.624493\pi\) |
−0.886275 | + | 0.463160i | \(0.846716\pi\) | |||||||
\(390\) | −0.101278 | − | 0.0368621i | −0.00512840 | − | 0.00186659i | ||||
\(391\) | −7.50120 | + | 12.9925i | −0.379352 | + | 0.657056i | ||||
\(392\) | 4.20480 | + | 7.28293i | 0.212374 | + | 0.367843i | ||||
\(393\) | −1.98418 | − | 11.2529i | −0.100089 | − | 0.567632i | ||||
\(394\) | −0.681238 | − | 0.571627i | −0.0343203 | − | 0.0287981i | ||||
\(395\) | −0.787871 | + | 0.661103i | −0.0396421 | + | 0.0332637i | ||||
\(396\) | −0.331401 | + | 1.87947i | −0.0166535 | + | 0.0944468i | ||||
\(397\) | 3.47457 | − | 1.26464i | 0.174384 | − | 0.0634705i | −0.253353 | − | 0.967374i | \(-0.581533\pi\) |
0.427737 | + | 0.903903i | \(0.359311\pi\) | |||||||
\(398\) | −3.57724 | −0.179311 | ||||||||
\(399\) | −0.0825037 | − | 0.633801i | −0.00413035 | − | 0.0317298i | ||||
\(400\) | 3.43986 | 0.171993 | ||||||||
\(401\) | 19.0147 | − | 6.92080i | 0.949551 | − | 0.345608i | 0.179620 | − | 0.983736i | \(-0.442513\pi\) |
0.769930 | + | 0.638128i | \(0.220291\pi\) | |||||||
\(402\) | 0.877404 | − | 4.97601i | 0.0437609 | − | 0.248181i | ||||
\(403\) | 1.31566 | − | 1.10397i | 0.0655375 | − | 0.0549925i | ||||
\(404\) | −5.37028 | − | 4.50620i | −0.267181 | − | 0.224192i | ||||
\(405\) | −1.39246 | − | 7.89705i | −0.0691920 | − | 0.392408i | ||||
\(406\) | −0.0660441 | − | 0.114392i | −0.00327772 | − | 0.00567717i | ||||
\(407\) | 3.10374 | − | 5.37583i | 0.153847 | − | 0.266470i | ||||
\(408\) | −4.67135 | − | 1.70023i | −0.231266 | − | 0.0841741i | ||||
\(409\) | −11.7244 | − | 4.26733i | −0.579733 | − | 0.211006i | 0.0354746 | − | 0.999371i | \(-0.488706\pi\) |
−0.615208 | + | 0.788365i | \(0.710928\pi\) | |||||||
\(410\) | −0.463883 | + | 0.803468i | −0.0229095 | + | 0.0396805i | ||||
\(411\) | 17.2668 | + | 29.9069i | 0.851707 | + | 1.47520i | ||||
\(412\) | 1.16920 | + | 6.63087i | 0.0576024 | + | 0.326679i | ||||
\(413\) | 0.713032 | + | 0.598305i | 0.0350860 | + | 0.0294407i | ||||
\(414\) | −0.418870 | + | 0.351473i | −0.0205863 | + | 0.0172740i | ||||
\(415\) | 3.11504 | − | 17.6662i | 0.152911 | − | 0.867202i | ||||
\(416\) | 0.693095 | − | 0.252266i | 0.0339818 | − | 0.0123683i | ||||
\(417\) | −25.8447 | −1.26562 | ||||||||
\(418\) | −4.17334 | − | 1.73577i | −0.204125 | − | 0.0848994i | ||||
\(419\) | 28.9962 | 1.41656 | 0.708279 | − | 0.705933i | \(-0.249472\pi\) | ||||
0.708279 | + | 0.705933i | \(0.249472\pi\) | |||||||
\(420\) | −0.262506 | + | 0.0955442i | −0.0128090 | + | 0.00466208i | ||||
\(421\) | 2.53458 | − | 14.3743i | 0.123528 | − | 0.700561i | −0.858644 | − | 0.512573i | \(-0.828692\pi\) |
0.982171 | − | 0.187988i | \(-0.0601965\pi\) | |||||||
\(422\) | 5.59162 | − | 4.69193i | 0.272196 | − | 0.228399i | ||||
\(423\) | 1.73639 | + | 1.45701i | 0.0844264 | + | 0.0708422i | ||||
\(424\) | −1.75430 | − | 9.94912i | −0.0851963 | − | 0.483172i | ||||
\(425\) | 1.25712 | + | 2.17739i | 0.0609791 | + | 0.105619i | ||||
\(426\) | −1.56378 | + | 2.70854i | −0.0757653 | + | 0.131229i | ||||
\(427\) | 0.0828595 | + | 0.0301584i | 0.00400985 | + | 0.00145947i | ||||
\(428\) | −3.37749 | − | 1.22930i | −0.163257 | − | 0.0594207i | ||||
\(429\) | −0.589094 | + | 1.02034i | −0.0284417 | + | 0.0492625i | ||||
\(430\) | −0.376958 | − | 0.652910i | −0.0181785 | − | 0.0314861i | ||||
\(431\) | 2.34566 | + | 13.3029i | 0.112986 | + | 0.640778i | 0.987727 | + | 0.156187i | \(0.0499204\pi\) |
−0.874741 | + | 0.484591i | \(0.838969\pi\) | |||||||
\(432\) | 14.2845 | + | 11.9861i | 0.687261 | + | 0.576681i | ||||
\(433\) | 29.1254 | − | 24.4391i | 1.39968 | − | 1.17447i | 0.438438 | − | 0.898761i | \(-0.355532\pi\) |
0.961241 | − | 0.275709i | \(-0.0889127\pi\) | |||||||
\(434\) | −0.0384878 | + | 0.218275i | −0.00184747 | + | 0.0104775i | ||||
\(435\) | −7.42765 | + | 2.70344i | −0.356128 | + | 0.129620i | ||||
\(436\) | 25.0714 | 1.20070 | ||||||||
\(437\) | 11.9763 | + | 23.0881i | 0.572903 | + | 1.10446i | ||||
\(438\) | 7.97181 | 0.380908 | ||||||||
\(439\) | 22.3525 | − | 8.13563i | 1.06682 | − | 0.388292i | 0.251836 | − | 0.967770i | \(-0.418966\pi\) |
0.814988 | + | 0.579478i | \(0.196743\pi\) | |||||||
\(440\) | −0.703172 | + | 3.98789i | −0.0335224 | + | 0.190115i | ||||
\(441\) | 1.59365 | − | 1.33723i | 0.0758882 | − | 0.0636778i | ||||
\(442\) | 0.126272 | + | 0.105955i | 0.00600616 | + | 0.00503977i | ||||
\(443\) | −3.35126 | − | 19.0059i | −0.159223 | − | 0.902999i | −0.954823 | − | 0.297176i | \(-0.903955\pi\) |
0.795600 | − | 0.605823i | \(-0.207156\pi\) | |||||||
\(444\) | −2.88717 | − | 5.00073i | −0.137019 | − | 0.237324i | ||||
\(445\) | −0.328177 | + | 0.568419i | −0.0155571 | + | 0.0269457i | ||||
\(446\) | −2.55144 | − | 0.928648i | −0.120814 | − | 0.0439727i | ||||
\(447\) | −30.1531 | − | 10.9748i | −1.42619 | − | 0.519092i | ||||
\(448\) | 0.259228 | − | 0.448997i | 0.0122474 | − | 0.0212131i | ||||
\(449\) | 13.2068 | + | 22.8749i | 0.623268 | + | 1.07953i | 0.988873 | + | 0.148761i | \(0.0475287\pi\) |
−0.365605 | + | 0.930770i | \(0.619138\pi\) | |||||||
\(450\) | 0.0159126 | + | 0.0902446i | 0.000750125 | + | 0.00425417i | ||||
\(451\) | 7.76923 | + | 6.51916i | 0.365839 | + | 0.306975i | ||||
\(452\) | −18.0175 | + | 15.1185i | −0.847472 | + | 0.711113i | ||||
\(453\) | −3.20531 | + | 18.1782i | −0.150599 | + | 0.854087i | ||||
\(454\) | −0.302473 | + | 0.110091i | −0.0141958 | + | 0.00516683i | ||||
\(455\) | 0.0189871 | 0.000890130 | ||||||||
\(456\) | −6.84509 | + | 5.23661i | −0.320551 | + | 0.245227i | ||||
\(457\) | −38.4641 | −1.79927 | −0.899637 | − | 0.436638i | \(-0.856169\pi\) | ||||
−0.899637 | + | 0.436638i | \(0.856169\pi\) | |||||||
\(458\) | −3.90239 | + | 1.42035i | −0.182347 | + | 0.0663687i | ||||
\(459\) | −2.36671 | + | 13.4223i | −0.110469 | + | 0.626498i | ||||
\(460\) | 8.70836 | − | 7.30718i | 0.406030 | − | 0.340699i | ||||
\(461\) | 26.0330 | + | 21.8442i | 1.21248 | + | 1.01739i | 0.999184 | + | 0.0403991i | \(0.0128629\pi\) |
0.213292 | + | 0.976989i | \(0.431582\pi\) | |||||||
\(462\) | −0.0264028 | − | 0.149738i | −0.00122837 | − | 0.00696642i | ||||
\(463\) | 2.69723 | + | 4.67174i | 0.125351 | + | 0.217114i | 0.921870 | − | 0.387499i | \(-0.126661\pi\) |
−0.796519 | + | 0.604613i | \(0.793328\pi\) | |||||||
\(464\) | 8.26981 | − | 14.3237i | 0.383916 | − | 0.664963i | ||||
\(465\) | 12.4635 | + | 4.53634i | 0.577981 | + | 0.210368i | ||||
\(466\) | 3.24660 | + | 1.18167i | 0.150396 | + | 0.0547396i | ||||
\(467\) | −11.2144 | + | 19.4240i | −0.518942 | + | 0.898834i | 0.480815 | + | 0.876822i | \(0.340341\pi\) |
−0.999758 | + | 0.0220125i | \(0.992993\pi\) | |||||||
\(468\) | −0.0603320 | − | 0.104498i | −0.00278885 | − | 0.00483043i | ||||
\(469\) | 0.154572 | + | 0.876620i | 0.00713746 | + | 0.0404786i | ||||
\(470\) | 1.79741 | + | 1.50821i | 0.0829083 | + | 0.0695683i | ||||
\(471\) | −5.80898 | + | 4.87431i | −0.267664 | + | 0.224597i | ||||
\(472\) | 2.17947 | − | 12.3604i | 0.100318 | − | 0.568934i | ||||
\(473\) | −7.74452 | + | 2.81878i | −0.356093 | + | 0.129607i | ||||
\(474\) | −0.520734 | −0.0239181 | ||||||||
\(475\) | 4.35447 | + | 0.196468i | 0.199797 | + | 0.00901455i | ||||
\(476\) | 0.427246 | 0.0195828 | ||||||||
\(477\) | −2.34846 | + | 0.854770i | −0.107529 | + | 0.0391372i | ||||
\(478\) | 1.08723 | − | 6.16597i | 0.0497286 | − | 0.282025i | ||||
\(479\) | −22.0166 | + | 18.4741i | −1.00596 | + | 0.844104i | −0.987800 | − | 0.155731i | \(-0.950227\pi\) |
−0.0181649 | + | 0.999835i | \(0.505782\pi\) | |||||||
\(480\) | 4.36341 | + | 3.66134i | 0.199162 | + | 0.167116i | ||||
\(481\) | 0.0681522 | + | 0.386510i | 0.00310747 | + | 0.0176233i | ||||
\(482\) | −0.592033 | − | 1.02543i | −0.0269664 | − | 0.0467071i | ||||
\(483\) | −0.437472 | + | 0.757723i | −0.0199057 | + | 0.0344776i | ||||
\(484\) | 0.600609 | + | 0.218604i | 0.0273004 | + | 0.00993653i | ||||
\(485\) | −15.7991 | − | 5.75040i | −0.717400 | − | 0.261112i | ||||
\(486\) | −0.474341 | + | 0.821582i | −0.0215165 | + | 0.0372677i | ||||
\(487\) | 17.2221 | + | 29.8295i | 0.780406 | + | 1.35170i | 0.931705 | + | 0.363215i | \(0.118321\pi\) |
−0.151299 | + | 0.988488i | \(0.548346\pi\) | |||||||
\(488\) | −0.206468 | − | 1.17094i | −0.00934637 | − | 0.0530059i | ||||
\(489\) | 0.723772 | + | 0.607317i | 0.0327301 | + | 0.0274638i | ||||
\(490\) | 1.64965 | − | 1.38422i | 0.0745237 | − | 0.0625328i | ||||
\(491\) | −3.36638 | + | 19.0917i | −0.151923 | + | 0.861596i | 0.809623 | + | 0.586950i | \(0.199672\pi\) |
−0.961546 | + | 0.274645i | \(0.911440\pi\) | |||||||
\(492\) | 8.86538 | − | 3.22674i | 0.399682 | − | 0.145472i | ||||
\(493\) | 12.0890 | 0.544462 | ||||||||
\(494\) | 0.272674 | − | 0.0855378i | 0.0122682 | − | 0.00384853i | ||||
\(495\) | 1.00174 | 0.0450249 | ||||||||
\(496\) | −26.0796 | + | 9.49218i | −1.17101 | + | 0.426212i | ||||
\(497\) | 0.0956766 | − | 0.542609i | 0.00429168 | − | 0.0243393i | ||||
\(498\) | 6.95763 | − | 5.83814i | 0.311779 | − | 0.261613i | ||||
\(499\) | 8.63214 | + | 7.24323i | 0.386428 | + | 0.324251i | 0.815220 | − | 0.579152i | \(-0.196616\pi\) |
−0.428792 | + | 0.903403i | \(0.641061\pi\) | |||||||
\(500\) | −0.330825 | − | 1.87620i | −0.0147949 | − | 0.0839062i | ||||
\(501\) | 3.38813 | + | 5.86842i | 0.151371 | + | 0.262181i | ||||
\(502\) | −1.22237 | + | 2.11720i | −0.0545570 | + | 0.0944955i | ||||
\(503\) | −9.95307 | − | 3.62262i | −0.443785 | − | 0.161525i | 0.110455 | − | 0.993881i | \(-0.464769\pi\) |
−0.554241 | + | 0.832356i | \(0.686991\pi\) | |||||||
\(504\) | 0.0299942 | + | 0.0109170i | 0.00133605 | + | 0.000486282i | ||||
\(505\) | −1.83986 | + | 3.18674i | −0.0818728 | + | 0.141808i | ||||
\(506\) | 3.09371 | + | 5.35846i | 0.137532 | + | 0.238213i | ||||
\(507\) | 3.69809 | + | 20.9729i | 0.164238 | + | 0.931439i | ||||
\(508\) | −30.9574 | − | 25.9764i | −1.37351 | − | 1.15251i | ||||
\(509\) | −1.66949 | + | 1.40087i | −0.0739990 | + | 0.0620925i | −0.679037 | − | 0.734104i | \(-0.737602\pi\) |
0.605038 | + | 0.796197i | \(0.293158\pi\) | |||||||
\(510\) | −0.221050 | + | 1.25364i | −0.00978825 | + | 0.0555119i | ||||
\(511\) | −1.31969 | + | 0.480330i | −0.0583799 | + | 0.0212485i | ||||
\(512\) | −20.1933 | −0.892426 | ||||||||
\(513\) | 17.3979 | + | 15.9889i | 0.768137 | + | 0.705926i | ||||
\(514\) | −7.46186 | −0.329129 | ||||||||
\(515\) | 3.32106 | − | 1.20877i | 0.146343 | − | 0.0532647i | ||||
\(516\) | −1.33127 | + | 7.55002i | −0.0586060 | + | 0.332371i | ||||
\(517\) | 19.6487 | − | 16.4872i | 0.864147 | − | 0.725106i | ||||
\(518\) | −0.0387997 | − | 0.0325568i | −0.00170476 | − | 0.00143046i | ||||
\(519\) | 1.83684 | + | 10.4172i | 0.0806282 | + | 0.457265i | ||||
\(520\) | −0.128013 | − | 0.221726i | −0.00561376 | − | 0.00972332i | ||||
\(521\) | 5.72367 | − | 9.91369i | 0.250759 | − | 0.434327i | −0.712976 | − | 0.701188i | \(-0.752653\pi\) |
0.963735 | + | 0.266862i | \(0.0859866\pi\) | |||||||
\(522\) | 0.414039 | + | 0.150698i | 0.0181220 | + | 0.00659586i | ||||
\(523\) | 9.16414 | + | 3.33548i | 0.400720 | + | 0.145850i | 0.534515 | − | 0.845159i | \(-0.320494\pi\) |
−0.133795 | + | 0.991009i | \(0.542716\pi\) | |||||||
\(524\) | 6.62108 | − | 11.4680i | 0.289243 | − | 0.500984i | ||||
\(525\) | 0.0733154 | + | 0.126986i | 0.00319975 | + | 0.00554212i | ||||
\(526\) | 0.661953 | + | 3.75412i | 0.0288625 | + | 0.163688i | ||||
\(527\) | −15.5394 | − | 13.0391i | −0.676906 | − | 0.567991i | ||||
\(528\) | 14.5846 | − | 12.2379i | 0.634713 | − | 0.532588i | ||||
\(529\) | 2.18882 | − | 12.4134i | 0.0951661 | − | 0.539714i | ||||
\(530\) | −2.43098 | + | 0.884806i | −0.105595 | + | 0.0384335i | ||||
\(531\) | −3.10489 | −0.134741 | ||||||||
\(532\) | 0.398893 | − | 0.624130i | 0.0172942 | − | 0.0270595i | ||||
\(533\) | −0.641237 | −0.0277750 | ||||||||
\(534\) | −0.312276 | + | 0.113659i | −0.0135135 | + | 0.00491851i | ||||
\(535\) | −0.327605 | + | 1.85794i | −0.0141636 | + | 0.0803257i | ||||
\(536\) | 9.19476 | − | 7.71532i | 0.397153 | − | 0.333251i | ||||
\(537\) | −4.82357 | − | 4.04746i | −0.208153 | − | 0.174661i | ||||
\(538\) | 1.30382 | + | 7.39433i | 0.0562117 | + | 0.318792i | ||||
\(539\) | −11.7705 | − | 20.3871i | −0.506991 | − | 0.878133i | ||||
\(540\) | 5.16377 | − | 8.94391i | 0.222213 | − | 0.384885i | ||||
\(541\) | −21.4401 | − | 7.80354i | −0.921780 | − | 0.335501i | −0.162834 | − | 0.986654i | \(-0.552063\pi\) |
−0.758947 | + | 0.651153i | \(0.774286\pi\) | |||||||
\(542\) | 5.04110 | + | 1.83481i | 0.216534 | + | 0.0788118i | ||||
\(543\) | 13.7166 | − | 23.7579i | 0.588638 | − | 1.01955i | ||||
\(544\) | −4.35580 | − | 7.54446i | −0.186753 | − | 0.323466i | ||||
\(545\) | −2.28519 | − | 12.9599i | −0.0978867 | − | 0.555143i | ||||
\(546\) | 0.00736423 | + | 0.00617933i | 0.000315160 | + | 0.000264451i | ||||
\(547\) | 23.6840 | − | 19.8732i | 1.01265 | − | 0.849716i | 0.0239661 | − | 0.999713i | \(-0.492371\pi\) |
0.988687 | + | 0.149996i | \(0.0479262\pi\) | |||||||
\(548\) | −6.94958 | + | 39.4130i | −0.296871 | + | 1.68364i | ||||
\(549\) | −0.276397 | + | 0.100600i | −0.0117963 | + | 0.00429351i | ||||
\(550\) | 1.03694 | 0.0442153 | ||||||||
\(551\) | 11.2867 | − | 17.6599i | 0.480831 | − | 0.752337i | ||||
\(552\) | 11.7979 | 0.502154 | ||||||||
\(553\) | 0.0862049 | − | 0.0313760i | 0.00366581 | − | 0.00133424i | ||||
\(554\) | −1.11156 | + | 6.30396i | −0.0472256 | + | 0.267830i | ||||
\(555\) | −2.32182 | + | 1.94824i | −0.0985559 | + | 0.0826982i | ||||
\(556\) | −22.9442 | − | 19.2525i | −0.973051 | − | 0.816486i | ||||
\(557\) | −1.70677 | − | 9.67955i | −0.0723180 | − | 0.410136i | −0.999379 | − | 0.0352261i | \(-0.988785\pi\) |
0.927061 | − | 0.374910i | \(-0.122326\pi\) | |||||||
\(558\) | −0.369670 | − | 0.640287i | −0.0156494 | − | 0.0271055i | ||||
\(559\) | 0.260539 | − | 0.451267i | 0.0110196 | − | 0.0190866i | ||||
\(560\) | −0.288318 | − | 0.104939i | −0.0121836 | − | 0.00443448i | ||||
\(561\) | 13.0765 | + | 4.75946i | 0.552090 | + | 0.200944i | ||||
\(562\) | −0.925485 | + | 1.60299i | −0.0390392 | + | 0.0676179i | ||||
\(563\) | −16.7096 | − | 28.9420i | −0.704228 | − | 1.21976i | −0.966970 | − | 0.254892i | \(-0.917960\pi\) |
0.262742 | − | 0.964866i | \(-0.415373\pi\) | |||||||
\(564\) | −4.14321 | − | 23.4973i | −0.174461 | − | 0.989415i | ||||
\(565\) | 9.45729 | + | 7.93561i | 0.397871 | + | 0.333854i | ||||
\(566\) | −2.73065 | + | 2.29129i | −0.114778 | + | 0.0963099i | ||||
\(567\) | −0.124202 | + | 0.704384i | −0.00521599 | + | 0.0295814i | ||||
\(568\) | −6.98148 | + | 2.54105i | −0.292936 | + | 0.106620i | ||||
\(569\) | 37.6326 | 1.57764 | 0.788820 | − | 0.614624i | \(-0.210692\pi\) | ||||
0.788820 | + | 0.614624i | \(0.210692\pi\) | |||||||
\(570\) | 1.62496 | + | 1.49335i | 0.0680620 | + | 0.0625498i | ||||
\(571\) | −2.75232 | −0.115181 | −0.0575904 | − | 0.998340i | \(-0.518342\pi\) | ||||
−0.0575904 | + | 0.998340i | \(0.518342\pi\) | |||||||
\(572\) | −1.28306 | + | 0.466997i | −0.0536476 | + | 0.0195261i | ||||
\(573\) | −2.26285 | + | 12.8333i | −0.0945319 | + | 0.536117i | ||||
\(574\) | 0.0633924 | − | 0.0531925i | 0.00264595 | − | 0.00222021i | ||||
\(575\) | −4.57098 | − | 3.83550i | −0.190623 | − | 0.159952i | ||||
\(576\) | 0.300313 | + | 1.70316i | 0.0125130 | + | 0.0709649i | ||||
\(577\) | −0.0185500 | − | 0.0321295i | −0.000772245 | − | 0.00133757i | 0.865639 | − | 0.500669i | \(-0.166912\pi\) |
−0.866411 | + | 0.499331i | \(0.833579\pi\) | |||||||
\(578\) | −1.64445 | + | 2.84827i | −0.0684000 | + | 0.118472i | ||||
\(579\) | −32.8526 | − | 11.9574i | −1.36531 | − | 0.496932i | ||||
\(580\) | −8.60793 | − | 3.13303i | −0.357425 | − | 0.130092i | ||||
\(581\) | −0.800032 | + | 1.38570i | −0.0331909 | + | 0.0574884i | ||||
\(582\) | −4.25629 | − | 7.37210i | −0.176429 | − | 0.305584i | ||||
\(583\) | 4.91080 | + | 27.8505i | 0.203385 | + | 1.15345i | ||||
\(584\) | 14.5067 | + | 12.1725i | 0.600291 | + | 0.503704i | ||||
\(585\) | −0.0485181 | + | 0.0407115i | −0.00200598 | + | 0.00168322i | ||||
\(586\) | −0.934287 | + | 5.29861i | −0.0385951 | + | 0.218883i | ||||
\(587\) | 3.38927 | − | 1.23359i | 0.139890 | − | 0.0509158i | −0.271126 | − | 0.962544i | \(-0.587396\pi\) |
0.411016 | + | 0.911628i | \(0.365174\pi\) | |||||||
\(588\) | −21.8984 | −0.903074 | ||||||||
\(589\) | −33.5559 | + | 10.5265i | −1.38265 | + | 0.433736i | ||||
\(590\) | −3.21399 | −0.132318 | ||||||||
\(591\) | 4.46043 | − | 1.62346i | 0.183478 | − | 0.0667804i | ||||
\(592\) | 1.10130 | − | 6.24578i | 0.0452632 | − | 0.256700i | ||||
\(593\) | 13.6689 | − | 11.4696i | 0.561314 | − | 0.470998i | −0.317437 | − | 0.948279i | \(-0.602822\pi\) |
0.878751 | + | 0.477281i | \(0.158378\pi\) | |||||||
\(594\) | 4.30604 | + | 3.61319i | 0.176679 | + | 0.148251i | ||||
\(595\) | −0.0389422 | − | 0.220852i | −0.00159647 | − | 0.00905406i | ||||
\(596\) | −18.5936 | − | 32.2051i | −0.761625 | − | 1.31917i | ||||
\(597\) | 9.54694 | − | 16.5358i | 0.390730 | − | 0.676764i | ||||
\(598\) | −0.367612 | − | 0.133800i | −0.0150328 | − | 0.00547148i | ||||
\(599\) | 20.6214 | + | 7.50558i | 0.842568 | + | 0.306670i | 0.727006 | − | 0.686631i | \(-0.240911\pi\) |
0.115561 | + | 0.993300i | \(0.463133\pi\) | |||||||
\(600\) | 0.988602 | − | 1.71231i | 0.0403595 | − | 0.0699047i | ||||
\(601\) | −5.14039 | − | 8.90342i | −0.209681 | − | 0.363178i | 0.741933 | − | 0.670474i | \(-0.233909\pi\) |
−0.951614 | + | 0.307296i | \(0.900576\pi\) | |||||||
\(602\) | 0.0116772 | + | 0.0662246i | 0.000475926 | + | 0.00269911i | ||||
\(603\) | −2.27460 | − | 1.90861i | −0.0926288 | − | 0.0777248i | ||||
\(604\) | −16.3871 | + | 13.7504i | −0.666780 | + | 0.559495i | ||||
\(605\) | 0.0582570 | − | 0.330392i | 0.00236849 | − | 0.0134323i | ||||
\(606\) | −1.75072 | + | 0.637208i | −0.0711180 | + | 0.0258848i | ||||
\(607\) | 32.2616 | 1.30946 | 0.654729 | − | 0.755864i | \(-0.272783\pi\) | ||||
0.654729 | + | 0.755864i | \(0.272783\pi\) | |||||||
\(608\) | −15.0879 | − | 0.680743i | −0.611893 | − | 0.0276078i | ||||
\(609\) | 0.705034 | 0.0285694 | ||||||||
\(610\) | −0.286109 | + | 0.104135i | −0.0115842 | + | 0.00421631i | ||||
\(611\) | −0.281607 | + | 1.59707i | −0.0113926 | + | 0.0646107i | ||||
\(612\) | −1.09175 | + | 0.916086i | −0.0441313 | + | 0.0370306i | ||||
\(613\) | −12.5598 | − | 10.5389i | −0.507286 | − | 0.425664i | 0.352887 | − | 0.935666i | \(-0.385200\pi\) |
−0.860173 | + | 0.510002i | \(0.829645\pi\) | |||||||
\(614\) | −1.58591 | − | 8.99412i | −0.0640019 | − | 0.362973i | ||||
\(615\) | −2.47602 | − | 4.28859i | −0.0998427 | − | 0.172933i | ||||
\(616\) | 0.180595 | − | 0.312800i | 0.00727639 | − | 0.0126031i | ||||
\(617\) | 12.0063 | + | 4.36994i | 0.483356 | + | 0.175927i | 0.572193 | − | 0.820119i | \(-0.306093\pi\) |
−0.0888371 | + | 0.996046i | \(0.528315\pi\) | |||||||
\(618\) | 1.68148 | + | 0.612008i | 0.0676390 | + | 0.0246186i | ||||
\(619\) | −2.14103 | + | 3.70838i | −0.0860555 | + | 0.149052i | −0.905840 | − | 0.423619i | \(-0.860760\pi\) |
0.819785 | + | 0.572671i | \(0.194093\pi\) | |||||||
\(620\) | 7.68549 | + | 13.3117i | 0.308657 | + | 0.534609i | ||||
\(621\) | −5.61687 | − | 31.8549i | −0.225397 | − | 1.27829i | ||||
\(622\) | 2.74210 | + | 2.30089i | 0.109948 | + | 0.0922575i | ||||
\(623\) | 0.0448474 | − | 0.0376314i | 0.00179677 | − | 0.00150767i | ||||
\(624\) | −0.209028 | + | 1.18546i | −0.00836783 | + | 0.0474563i | ||||
\(625\) | −0.939693 | + | 0.342020i | −0.0375877 | + | 0.0136808i | ||||
\(626\) | 0.146252 | 0.00584542 | ||||||||
\(627\) | 19.1614 | − | 14.6588i | 0.765234 | − | 0.585418i | ||||
\(628\) | −8.78807 | −0.350682 | ||||||||
\(629\) | 4.35599 | − | 1.58545i | 0.173685 | − | 0.0632160i | ||||
\(630\) | 0.00141934 | − | 0.00804945i | 5.65477e−5 | − | 0.000320698i | ||||
\(631\) | −17.4565 | + | 14.6477i | −0.694933 | + | 0.583118i | −0.920327 | − | 0.391150i | \(-0.872077\pi\) |
0.225394 | + | 0.974268i | \(0.427633\pi\) | |||||||
\(632\) | −0.947603 | − | 0.795133i | −0.0376936 | − | 0.0316287i | ||||
\(633\) | 6.76550 | + | 38.3690i | 0.268904 | + | 1.52503i | ||||
\(634\) | −3.11503 | − | 5.39540i | −0.123714 | − | 0.214279i | ||||
\(635\) | −10.6060 | + | 18.3702i | −0.420888 | + | 0.728999i | ||||
\(636\) | 24.7204 | + | 8.99749i | 0.980228 | + | 0.356774i | ||||
\(637\) | 1.39863 | + | 0.509061i | 0.0554159 | + | 0.0201698i | ||||
\(638\) | 2.49293 | − | 4.31788i | 0.0986959 | − | 0.170946i | ||||
\(639\) | 0.918959 | + | 1.59168i | 0.0363535 | + | 0.0629661i | ||||
\(640\) | 1.51422 | + | 8.58755i | 0.0598547 | + | 0.339453i | ||||
\(641\) | −24.0251 | − | 20.1595i | −0.948935 | − | 0.796251i | 0.0301829 | − | 0.999544i | \(-0.490391\pi\) |
−0.979118 | + | 0.203293i | \(0.934835\pi\) | |||||||
\(642\) | −0.731726 | + | 0.613991i | −0.0288789 | + | 0.0242323i | ||||
\(643\) | −1.93601 | + | 10.9796i | −0.0763487 | + | 0.432995i | 0.922542 | + | 0.385898i | \(0.126108\pi\) |
−0.998890 | + | 0.0470972i | \(0.985003\pi\) | |||||||
\(644\) | −0.952825 | + | 0.346800i | −0.0375466 | + | 0.0136658i | ||||
\(645\) | 4.02410 | 0.158449 | ||||||||
\(646\) | −1.55420 | − | 2.99622i | −0.0611491 | − | 0.117885i | ||||
\(647\) | −17.5536 | −0.690102 | −0.345051 | − | 0.938584i | \(-0.612138\pi\) | ||||
−0.345051 | + | 0.938584i | \(0.612138\pi\) | |||||||
\(648\) | 9.06297 | − | 3.29865i | 0.356027 | − | 0.129583i | ||||
\(649\) | −6.10100 | + | 34.6005i | −0.239485 | + | 1.35819i | ||||
\(650\) | −0.0502230 | + | 0.0421421i | −0.00196991 | + | 0.00165295i | ||||
\(651\) | −0.906260 | − | 0.760443i | −0.0355191 | − | 0.0298041i | ||||
\(652\) | 0.190136 | + | 1.07832i | 0.00744632 | + | 0.0422302i | ||||
\(653\) | 1.04766 | + | 1.81461i | 0.0409983 | + | 0.0710111i | 0.885796 | − | 0.464074i | \(-0.153613\pi\) |
−0.844798 | + | 0.535085i | \(0.820280\pi\) | |||||||
\(654\) | 3.33147 | − | 5.77028i | 0.130271 | − | 0.225636i | ||||
\(655\) | −6.53156 | − | 2.37729i | −0.255209 | − | 0.0928885i | ||||
\(656\) | 9.73711 | + | 3.54402i | 0.380170 | + | 0.138371i | ||||
\(657\) | 2.34233 | − | 4.05704i | 0.0913831 | − | 0.158280i | ||||
\(658\) | −0.104642 | − | 0.181246i | −0.00407939 | − | 0.00706571i | ||||
\(659\) | −2.25744 | − | 12.8026i | −0.0879373 | − | 0.498717i | −0.996684 | − | 0.0813691i | \(-0.974071\pi\) |
0.908747 | − | 0.417348i | \(-0.137040\pi\) | |||||||
\(660\) | −8.07759 | − | 6.77790i | −0.314420 | − | 0.263830i | ||||
\(661\) | 29.1833 | − | 24.4877i | 1.13510 | − | 0.952462i | 0.135833 | − | 0.990732i | \(-0.456629\pi\) |
0.999267 | + | 0.0382694i | \(0.0121845\pi\) | |||||||
\(662\) | 0.321588 | − | 1.82382i | 0.0124989 | − | 0.0708846i | ||||
\(663\) | −0.826772 | + | 0.300920i | −0.0321092 | + | 0.0116868i | ||||
\(664\) | 21.5756 | 0.837298 | ||||||||
\(665\) | −0.358984 | − | 0.149308i | −0.0139208 | − | 0.00578992i | ||||
\(666\) | 0.168953 | 0.00654678 | ||||||||
\(667\) | −26.9604 | + | 9.81278i | −1.04391 | + | 0.379952i | ||||
\(668\) | −1.36367 | + | 7.73373i | −0.0527618 | + | 0.299227i | ||||
\(669\) | 11.1019 | − | 9.31564i | 0.429226 | − | 0.360163i | ||||
\(670\) | −2.35452 | − | 1.97568i | −0.0909632 | − | 0.0763272i | ||||
\(671\) | 0.577966 | + | 3.27781i | 0.0223121 | + | 0.126538i | ||||
\(672\) | −0.254031 | − | 0.439995i | −0.00979947 | − | 0.0169732i | ||||
\(673\) | −16.9749 | + | 29.4013i | −0.654333 | + | 1.13334i | 0.327728 | + | 0.944772i | \(0.393717\pi\) |
−0.982061 | + | 0.188566i | \(0.939616\pi\) | |||||||
\(674\) | −2.56633 | − | 0.934069i | −0.0988514 | − | 0.0359790i | ||||
\(675\) | −5.09396 | − | 1.85405i | −0.196066 | − | 0.0713624i | ||||
\(676\) | −12.3403 | + | 21.3740i | −0.474626 | + | 0.822076i | ||||
\(677\) | 8.27810 | + | 14.3381i | 0.318153 | + | 0.551058i | 0.980103 | − | 0.198491i | \(-0.0636040\pi\) |
−0.661949 | + | 0.749549i | \(0.730271\pi\) | |||||||
\(678\) | 1.08542 | + | 6.15572i | 0.0416853 | + | 0.236409i | ||||
\(679\) | 1.14880 | + | 0.963959i | 0.0440870 | + | 0.0369934i | ||||
\(680\) | −2.31649 | + | 1.94377i | −0.0888334 | + | 0.0745401i | ||||
\(681\) | 0.298344 | − | 1.69199i | 0.0114326 | − | 0.0648372i | ||||
\(682\) | −7.86166 | + | 2.86141i | −0.301038 | + | 0.109569i | ||||
\(683\) | 5.33328 | 0.204072 | 0.102036 | − | 0.994781i | \(-0.467464\pi\) | ||||
0.102036 | + | 0.994781i | \(0.467464\pi\) | |||||||
\(684\) | 0.318942 | + | 2.45014i | 0.0121950 | + | 0.0936835i | ||||
\(685\) | 21.0068 | 0.802630 | ||||||||
\(686\) | −0.361199 | + | 0.131466i | −0.0137906 | + | 0.00501938i | ||||
\(687\) | 3.84911 | − | 21.8294i | 0.146853 | − | 0.832844i | ||||
\(688\) | −6.45035 | + | 5.41248i | −0.245917 | + | 0.206349i | ||||
\(689\) | −1.36972 | − | 1.14933i | −0.0521820 | − | 0.0437859i | ||||
\(690\) | −0.524614 | − | 2.97523i | −0.0199717 | − | 0.113265i | ||||
\(691\) | 7.06510 | + | 12.2371i | 0.268769 | + | 0.465522i | 0.968544 | − | 0.248842i | \(-0.0800498\pi\) |
−0.699775 | + | 0.714363i | \(0.746717\pi\) | |||||||
\(692\) | −6.12940 | + | 10.6164i | −0.233005 | + | 0.403576i | ||||
\(693\) | −0.0839627 | − | 0.0305599i | −0.00318948 | − | 0.00116088i | ||||
\(694\) | 5.77995 | + | 2.10373i | 0.219404 | + | 0.0798565i | ||||
\(695\) | −7.86070 | + | 13.6151i | −0.298173 | + | 0.516451i | ||||
\(696\) | −4.75342 | − | 8.23317i | −0.180178 | − | 0.312078i | ||||
\(697\) | 1.31516 | + | 7.45866i | 0.0498153 | + | 0.282517i | ||||
\(698\) | 0.191156 | + | 0.160399i | 0.00723536 | + | 0.00607119i | ||||
\(699\) | −14.1268 | + | 11.8538i | −0.534324 | + | 0.448351i | ||||
\(700\) | −0.0295082 | + | 0.167349i | −0.00111531 | + | 0.00632521i | ||||
\(701\) | 35.8607 | − | 13.0522i | 1.35444 | − | 0.492976i | 0.440110 | − | 0.897944i | \(-0.354939\pi\) |
0.914331 | + | 0.404967i | \(0.132717\pi\) | |||||||
\(702\) | −0.355400 | −0.0134137 | ||||||||
\(703\) | 1.75085 | − | 7.84355i | 0.0660345 | − | 0.295825i | ||||
\(704\) | 19.5699 | 0.737567 | ||||||||
\(705\) | −11.7686 | + | 4.28342i | −0.443231 | + | 0.161323i | ||||
\(706\) | 1.12046 | − | 6.35442i | 0.0421689 | − | 0.239152i | ||||
\(707\) | 0.251428 | − | 0.210973i | 0.00945594 | − | 0.00793447i | ||||
\(708\) | 25.0364 | + | 21.0080i | 0.940926 | + | 0.789531i | ||||
\(709\) | 5.75948 | + | 32.6636i | 0.216302 | + | 1.22671i | 0.878633 | + | 0.477497i | \(0.158456\pi\) |
−0.662331 | + | 0.749211i | \(0.730433\pi\) | |||||||
\(710\) | 0.951250 | + | 1.64761i | 0.0356998 | + | 0.0618339i | ||||
\(711\) | −0.153005 | + | 0.265013i | −0.00573815 | + | 0.00993878i | ||||
\(712\) | −0.741814 | − | 0.269998i | −0.0278007 | − | 0.0101186i | ||||
\(713\) | 45.2392 | + | 16.4657i | 1.69422 | + | 0.616646i | ||||
\(714\) | 0.0567721 | − | 0.0983321i | 0.00212464 | − | 0.00367999i | ||||
\(715\) | 0.358348 | + | 0.620676i | 0.0134014 | + | 0.0232120i | ||||
\(716\) | −1.26716 | − | 7.18644i | −0.0473561 | − | 0.268570i | ||||
\(717\) | 25.6006 | + | 21.4814i | 0.956072 | + | 0.802239i | ||||
\(718\) | −6.06391 | + | 5.08822i | −0.226303 | + | 0.189891i | ||||
\(719\) | 7.35244 | − | 41.6978i | 0.274200 | − | 1.55506i | −0.467292 | − | 0.884103i | \(-0.654770\pi\) |
0.741492 | − | 0.670962i | \(-0.234119\pi\) | |||||||
\(720\) | 0.961749 | − | 0.350048i | 0.0358423 | − | 0.0130455i | ||||
\(721\) | −0.315236 | −0.0117400 | ||||||||
\(722\) | −5.82800 | − | 0.526975i | −0.216896 | − | 0.0196120i | ||||
\(723\) | 6.32007 | 0.235046 | ||||||||
\(724\) | 29.8752 | − | 10.8737i | 1.11030 | − | 0.404118i | ||||
\(725\) | −0.834940 | + | 4.73518i | −0.0310089 | + | 0.175860i | ||||
\(726\) | 0.130121 | − | 0.109184i | 0.00482923 | − | 0.00405221i | ||||
\(727\) | −3.21863 | − | 2.70075i | −0.119372 | − | 0.100165i | 0.581147 | − | 0.813798i | \(-0.302604\pi\) |
−0.700520 | + | 0.713633i | \(0.747048\pi\) | |||||||
\(728\) | 0.00396552 | + | 0.0224896i | 0.000146972 | + | 0.000833520i | ||||
\(729\) | −14.5602 | − | 25.2189i | −0.539265 | − | 0.934034i | ||||
\(730\) | 2.42464 | − | 4.19960i | 0.0897399 | − | 0.155434i | ||||
\(731\) | −5.78336 | − | 2.10497i | −0.213905 | − | 0.0778551i | ||||
\(732\) | 2.90941 | + | 1.05894i | 0.107535 | + | 0.0391395i | ||||
\(733\) | −8.46787 | + | 14.6668i | −0.312768 | + | 0.541730i | −0.978960 | − | 0.204050i | \(-0.934590\pi\) |
0.666193 | + | 0.745780i | \(0.267923\pi\) | |||||||
\(734\) | −3.73990 | − | 6.47769i | −0.138042 | − | 0.239096i | ||||
\(735\) | 1.99597 | + | 11.3197i | 0.0736226 | + | 0.417534i | ||||
\(736\) | 15.8380 | + | 13.2897i | 0.583798 | + | 0.489864i | ||||
\(737\) | −25.7388 | + | 21.5975i | −0.948103 | + | 0.795553i | ||||
\(738\) | −0.0479340 | + | 0.271847i | −0.00176448 | + | 0.0100068i | ||||
\(739\) | −19.5893 | + | 7.12993i | −0.720605 | + | 0.262279i | −0.676183 | − | 0.736734i | \(-0.736367\pi\) |
−0.0444223 | + | 0.999013i | \(0.514145\pi\) | |||||||
\(740\) | −3.51255 | −0.129124 | ||||||||
\(741\) | −0.332314 | + | 1.48872i | −0.0122079 | + | 0.0546894i | ||||
\(742\) | 0.230750 | 0.00847109 | ||||||||
\(743\) | −42.6150 | + | 15.5106i | −1.56339 | + | 0.569028i | −0.971510 | − | 0.236997i | \(-0.923837\pi\) |
−0.591881 | + | 0.806025i | \(0.701615\pi\) | |||||||
\(744\) | −2.77010 | + | 15.7100i | −0.101557 | + | 0.575957i | ||||
\(745\) | −14.9527 | + | 12.5468i | −0.547826 | + | 0.459680i | ||||
\(746\) | −2.56715 | − | 2.15410i | −0.0939901 | − | 0.0788671i | ||||
\(747\) | −0.926827 | − | 5.25630i | −0.0339108 | − | 0.192318i | ||||
\(748\) | 8.06349 | + | 13.9664i | 0.294831 | + | 0.510661i | ||||
\(749\) | 0.0841385 | − | 0.145732i | 0.00307435 | − | 0.00532494i | ||||
\(750\) | −0.475773 | − | 0.173167i | −0.0173728 | − | 0.00632318i | ||||
\(751\) | 8.15355 | + | 2.96765i | 0.297527 | + | 0.108291i | 0.486471 | − | 0.873697i | \(-0.338284\pi\) |
−0.188943 | + | 0.981988i | \(0.560506\pi\) | |||||||
\(752\) | 13.1030 | − | 22.6950i | 0.477816 | − | 0.827601i | ||||
\(753\) | −6.52451 | − | 11.3008i | −0.237767 | − | 0.411824i | ||||
\(754\) | 0.0547399 | + | 0.310445i | 0.00199351 | + | 0.0113058i | ||||
\(755\) | 8.60149 | + | 7.21751i | 0.313040 | + | 0.262672i | ||||
\(756\) | −0.705661 | + | 0.592119i | −0.0256646 | + | 0.0215352i | ||||
\(757\) | 1.74973 | − | 9.92320i | 0.0635950 | − | 0.360665i | −0.936359 | − | 0.351045i | \(-0.885827\pi\) |
0.999954 | − | 0.00962040i | \(-0.00306232\pi\) | |||||||
\(758\) | 5.59490 | − | 2.03638i | 0.203216 | − | 0.0739645i | ||||
\(759\) | −33.0259 | −1.19877 | ||||||||
\(760\) | 0.676736 | + | 5.19875i | 0.0245478 | + | 0.188579i | ||||
\(761\) | 4.52014 | 0.163855 | 0.0819275 | − | 0.996638i | \(-0.473892\pi\) | ||||
0.0819275 | + | 0.996638i | \(0.473892\pi\) | |||||||
\(762\) | −10.0921 | + | 3.67324i | −0.365600 | + | 0.133067i | ||||
\(763\) | −0.203829 | + | 1.15597i | −0.00737912 | + | 0.0418491i | ||||
\(764\) | −11.5688 | + | 9.70735i | −0.418543 | + | 0.351200i | ||||
\(765\) | 0.573053 | + | 0.480849i | 0.0207188 | + | 0.0173851i | ||||
\(766\) | 0.0557839 | + | 0.316366i | 0.00201556 | + | 0.0114308i | ||||
\(767\) | −1.11070 | − | 1.92378i | −0.0401049 | − | 0.0694637i | ||||
\(768\) | 7.34787 | − | 12.7269i | 0.265143 | − | 0.459242i | ||||
\(769\) | 37.1897 | + | 13.5360i | 1.34110 | + | 0.488119i | 0.910158 | − | 0.414262i | \(-0.135960\pi\) |
0.430939 | + | 0.902381i | \(0.358182\pi\) | |||||||
\(770\) | −0.0869131 | − | 0.0316338i | −0.00313213 | − | 0.00114000i | ||||
\(771\) | 19.9142 | − | 34.4924i | 0.717193 | − | 1.24221i | ||||
\(772\) | −20.2582 | − | 35.0883i | −0.729110 | − | 1.26286i | ||||
\(773\) | −4.08049 | − | 23.1416i | −0.146765 | − | 0.832347i | −0.965933 | − | 0.258793i | \(-0.916675\pi\) |
0.819168 | − | 0.573554i | \(-0.194436\pi\) | |||||||
\(774\) | −0.171835 | − | 0.144187i | −0.00617649 | − | 0.00518269i | ||||
\(775\) | 6.18056 | − | 5.18611i | 0.222012 | − | 0.186290i | ||||
\(776\) | 3.51146 | − | 19.9145i | 0.126054 | − | 0.714888i | ||||
\(777\) | 0.254042 | − | 0.0924638i | 0.00911372 | − | 0.00331712i | ||||
\(778\) | −8.19345 | −0.293749 | ||||||||
\(779\) | 12.1237 | + | 5.04246i | 0.434375 | + | 0.180665i | ||||
\(780\) | 0.666687 | 0.0238712 | ||||||||
\(781\) | 19.5432 | − | 7.11316i | 0.699312 | − | 0.254529i | ||||
\(782\) | −0.802352 | + | 4.55036i | −0.0286920 | + | 0.162721i | ||||
\(783\) | −19.9668 | + | 16.7541i | −0.713555 | + | 0.598744i | ||||
\(784\) | −18.4246 | − | 15.4601i | −0.658022 | − | 0.552146i | ||||
\(785\) | 0.801006 | + | 4.54273i | 0.0285891 | + | 0.162137i | ||||
\(786\) | −1.75961 | − | 3.04773i | −0.0627631 | − | 0.108709i | ||||
\(787\) | −3.76242 | + | 6.51669i | −0.134116 | + | 0.232295i | −0.925259 | − | 0.379335i | \(-0.876153\pi\) |
0.791144 | + | 0.611630i | \(0.209486\pi\) | |||||||
\(788\) | 5.16921 | + | 1.88144i | 0.184145 | + | 0.0670235i | ||||
\(789\) | −19.1200 | − | 6.95913i | −0.680692 | − | 0.247751i | ||||
\(790\) | −0.158382 | + | 0.274326i | −0.00563498 | + | 0.00976006i | ||||
\(791\) | −0.550589 | − | 0.953649i | −0.0195767 | − | 0.0339078i | ||||
\(792\) | 0.209217 | + | 1.18653i | 0.00743421 | + | 0.0421615i | ||||
\(793\) | −0.161206 | − | 0.135268i | −0.00572458 | − | 0.00480349i | ||||
\(794\) | 0.872376 | − | 0.732010i | 0.0309595 | − | 0.0259781i | ||||
\(795\) | 2.39780 | − | 13.5986i | 0.0850411 | − | 0.482292i | ||||
\(796\) | 20.7935 | − | 7.56821i | 0.737006 | − | 0.268248i | ||||
\(797\) | −18.7858 | −0.665426 | −0.332713 | − | 0.943028i | \(-0.607964\pi\) | ||||
−0.332713 | + | 0.943028i | \(0.607964\pi\) | |||||||
\(798\) | −0.0906412 | − | 0.174740i | −0.00320866 | − | 0.00618574i | ||||
\(799\) | 19.1542 | 0.677627 | ||||||||
\(800\) | 3.25595 | − | 1.18507i | 0.115115 | − | 0.0418985i | ||||
\(801\) | −0.0339113 | + | 0.192320i | −0.00119820 | + | 0.00679531i | ||||
\(802\) | 4.77411 | − | 4.00596i | 0.168580 | − | 0.141455i | ||||
\(803\) | −40.6085 | − | 34.0746i | −1.43304 | − | 1.20247i | ||||
\(804\) | 5.42742 | + | 30.7804i | 0.191410 | + | 1.08554i | ||||
\(805\) | 0.266115 | + | 0.460925i | 0.00937933 | + | 0.0162455i | ||||
\(806\) | 0.264480 | − | 0.458092i | 0.00931590 | − | 0.0161356i | ||||
\(807\) | −37.6599 | − | 13.7071i | −1.32569 | − | 0.482512i | ||||
\(808\) | −4.15884 | − | 1.51369i | −0.146308 | − | 0.0532516i | ||||
\(809\) | 9.74651 | − | 16.8815i | 0.342669 | − | 0.593520i | −0.642258 | − | 0.766488i | \(-0.722002\pi\) |
0.984927 | + | 0.172968i | \(0.0553357\pi\) | |||||||
\(810\) | −1.23486 | − | 2.13884i | −0.0433885 | − | 0.0751512i | ||||
\(811\) | 2.64049 | + | 14.9750i | 0.0927201 | + | 0.525842i | 0.995422 | + | 0.0955756i | \(0.0304692\pi\) |
−0.902702 | + | 0.430266i | \(0.858420\pi\) | |||||||
\(812\) | 0.625910 | + | 0.525201i | 0.0219651 | + | 0.0184309i | ||||
\(813\) | −21.9351 | + | 18.4057i | −0.769297 | + | 0.645517i | ||||
\(814\) | 0.331986 | − | 1.88279i | 0.0116361 | − | 0.0659916i | ||||
\(815\) | 0.540074 | − | 0.196571i | 0.0189180 | − | 0.00688558i | ||||
\(816\) | 14.2176 | 0.497715 | ||||||||
\(817\) | −8.47454 | + | 6.48318i | −0.296487 | + | 0.226818i | ||||
\(818\) | −3.84272 | −0.134357 | ||||||||
\(819\) | 0.00530861 | − | 0.00193218i | 0.000185498 | − | 6.75157e-5i | ||||
\(820\) | 0.996556 | − | 5.65175i | 0.0348012 | − | 0.197368i | ||||
\(821\) | −20.5043 | + | 17.2051i | −0.715604 | + | 0.600463i | −0.926165 | − | 0.377118i | \(-0.876915\pi\) |
0.210562 | + | 0.977581i | \(0.432471\pi\) | |||||||
\(822\) | 8.14759 | + | 6.83664i | 0.284180 | + | 0.238455i | ||||
\(823\) | 4.80109 | + | 27.2284i | 0.167356 | + | 0.949121i | 0.946602 | + | 0.322404i | \(0.104491\pi\) |
−0.779247 | + | 0.626717i | \(0.784398\pi\) | |||||||
\(824\) | 2.12536 | + | 3.68123i | 0.0740404 | + | 0.128242i | ||||
\(825\) | −2.76739 | + | 4.79326i | −0.0963481 | + | 0.166880i | ||||
\(826\) | 0.269386 | + | 0.0980486i | 0.00937314 | + | 0.00341155i | ||||
\(827\) | −12.0489 | − | 4.38543i | −0.418980 | − | 0.152496i | 0.123923 | − | 0.992292i | \(-0.460453\pi\) |
−0.542903 | + | 0.839796i | \(0.682675\pi\) | |||||||
\(828\) | 1.69117 | − | 2.92920i | 0.0587724 | − | 0.101797i | ||||
\(829\) | −22.7266 | − | 39.3636i | −0.789326 | − | 1.36715i | −0.926380 | − | 0.376590i | \(-0.877097\pi\) |
0.137054 | − | 0.990564i | \(-0.456237\pi\) | |||||||
\(830\) | −0.959394 | − | 5.44100i | −0.0333011 | − | 0.188860i | ||||
\(831\) | −26.1735 | − | 21.9622i | −0.907949 | − | 0.761860i | ||||
\(832\) | −0.947842 | + | 0.795334i | −0.0328605 | + | 0.0275732i | ||||
\(833\) | 3.05267 | − | 17.3126i | 0.105769 | − | 0.599844i | ||||
\(834\) | −7.47983 | + | 2.72243i | −0.259005 | + | 0.0942702i | ||||
\(835\) | 4.12202 | 0.142648 | ||||||||
\(836\) | 27.9308 | + | 1.26020i | 0.966006 | + | 0.0435849i | ||||
\(837\) | 43.7364 | 1.51175 | ||||||||
\(838\) | 8.39192 | − | 3.05441i | 0.289894 | − | 0.105513i | ||||
\(839\) | 4.04829 | − | 22.9590i | 0.139762 | − | 0.792632i | −0.831662 | − | 0.555282i | \(-0.812610\pi\) |
0.971424 | − | 0.237350i | \(-0.0762787\pi\) | |||||||
\(840\) | −0.135098 | + | 0.113361i | −0.00466134 | + | 0.00391133i | ||||
\(841\) | −4.50505 | − | 3.78019i | −0.155347 | − | 0.130351i | ||||
\(842\) | −0.780620 | − | 4.42712i | −0.0269019 | − | 0.152569i | ||||
\(843\) | −4.93987 | − | 8.55610i | −0.170138 | − | 0.294688i | ||||
\(844\) | −22.5760 | + | 39.1028i | −0.777098 | + | 1.34597i | ||||
\(845\) | 12.1734 | + | 4.43076i | 0.418778 | + | 0.152423i | ||||
\(846\) | 0.656016 | + | 0.238770i | 0.0225543 | + | 0.00820909i | ||||
\(847\) | −0.0149621 | + | 0.0259151i | −0.000514104 | + | 0.000890455i | ||||
\(848\) | 14.4468 | + | 25.0226i | 0.496106 | + | 0.859281i | ||||
\(849\) | −3.30391 | − | 18.7374i | −0.113390 | − | 0.643066i | ||||
\(850\) | 0.593190 | + | 0.497745i | 0.0203462 | + | 0.0170725i | ||||
\(851\) | −8.42760 | + | 7.07160i | −0.288894 | + | 0.242411i | ||||
\(852\) | 3.35945 | − | 19.0524i | 0.115093 | − | 0.652725i | ||||
\(853\) | 43.0221 | − | 15.6588i | 1.47305 | − | 0.536146i | 0.524122 | − | 0.851643i | \(-0.324393\pi\) |
0.948927 | + | 0.315497i | \(0.102171\pi\) | |||||||
\(854\) | 0.0271576 | 0.000929312 | ||||||||
\(855\) | 1.23746 | − | 0.388191i | 0.0423202 | − | 0.0132758i | ||||
\(856\) | −2.26909 | −0.0775558 | ||||||||
\(857\) | −6.06004 | + | 2.20568i | −0.207007 | + | 0.0753444i | −0.443443 | − | 0.896303i | \(-0.646243\pi\) |
0.236436 | + | 0.971647i | \(0.424021\pi\) | |||||||
\(858\) | −0.0630114 | + | 0.357355i | −0.00215117 | + | 0.0121999i | ||||
\(859\) | −11.1359 | + | 9.34415i | −0.379953 | + | 0.318818i | −0.812684 | − | 0.582705i | \(-0.801994\pi\) |
0.432731 | + | 0.901523i | \(0.357550\pi\) | |||||||
\(860\) | 3.57248 | + | 2.99767i | 0.121821 | + | 0.102220i | ||||
\(861\) | 0.0767007 | + | 0.434991i | 0.00261395 | + | 0.0148245i | ||||
\(862\) | 2.08017 | + | 3.60296i | 0.0708509 | + | 0.122717i | ||||
\(863\) | 2.28568 | − | 3.95891i | 0.0778054 | − | 0.134763i | −0.824497 | − | 0.565866i | \(-0.808542\pi\) |
0.902303 | + | 0.431103i | \(0.141875\pi\) | |||||||
\(864\) | 17.6501 | + | 6.42412i | 0.600469 | + | 0.218553i | ||||
\(865\) | 6.04652 | + | 2.20075i | 0.205588 | + | 0.0748279i | ||||
\(866\) | 5.85494 | − | 10.1411i | 0.198959 | − | 0.344607i | ||||
\(867\) | −8.77740 | − | 15.2029i | −0.298096 | − | 0.516318i | ||||
\(868\) | −0.238077 | − | 1.35020i | −0.00808085 | − | 0.0458288i | ||||
\(869\) | 2.65262 | + | 2.22581i | 0.0899841 | + | 0.0755056i | ||||
\(870\) | −1.86489 | + | 1.56483i | −0.0632257 | + | 0.0530527i | ||||
\(871\) | 0.368892 | − | 2.09209i | 0.0124994 | − | 0.0708879i | ||||
\(872\) | 14.8733 | − | 5.41346i | 0.503675 | − | 0.183323i | ||||
\(873\) | −5.00244 | −0.169307 | ||||||||
\(874\) | 5.89817 | + | 5.42048i | 0.199508 | + | 0.183351i | ||||
\(875\) | 0.0891959 | 0.00301537 | ||||||||
\(876\) | −46.3379 | + | 16.8656i | −1.56561 | + | 0.569836i | ||||
\(877\) | 5.72291 | − | 32.4562i | 0.193249 | − | 1.09597i | −0.721641 | − | 0.692267i | \(-0.756612\pi\) |
0.914890 | − | 0.403702i | \(-0.132277\pi\) | |||||||
\(878\) | 5.61213 | − | 4.70913i | 0.189400 | − | 0.158926i | ||||
\(879\) | −21.9994 | − | 18.4597i | −0.742020 | − | 0.622629i | ||||
\(880\) | −2.01109 | − | 11.4054i | −0.0677937 | − | 0.384477i | ||||
\(881\) | 8.12066 | + | 14.0654i | 0.273592 | + | 0.473875i | 0.969779 | − | 0.243985i | \(-0.0784549\pi\) |
−0.696187 | + | 0.717860i | \(0.745122\pi\) | |||||||
\(882\) | 0.320364 | − | 0.554887i | 0.0107872 | − | 0.0186840i | ||||
\(883\) | 26.7945 | + | 9.75238i | 0.901705 | + | 0.328194i | 0.750936 | − | 0.660375i | \(-0.229603\pi\) |
0.150769 | + | 0.988569i | \(0.451825\pi\) | |||||||
\(884\) | −0.958150 | − | 0.348738i | −0.0322261 | − | 0.0117293i | ||||
\(885\) | 8.57750 | − | 14.8567i | 0.288329 | − | 0.499401i | ||||
\(886\) | −2.97195 | − | 5.14757i | −0.0998447 | − | 0.172936i | ||||
\(887\) | 6.70894 | + | 38.0483i | 0.225264 | + | 1.27754i | 0.862180 | + | 0.506602i | \(0.169099\pi\) |
−0.636916 | + | 0.770933i | \(0.719790\pi\) | |||||||
\(888\) | −2.79255 | − | 2.34322i | −0.0937117 | − | 0.0786335i | ||||
\(889\) | 1.44938 | − | 1.21617i | 0.0486106 | − | 0.0407891i | ||||
\(890\) | −0.0351029 | + | 0.199078i | −0.00117665 | + | 0.00667312i | ||||
\(891\) | −25.3699 | + | 9.23390i | −0.849925 | + | 0.309347i | ||||
\(892\) | 16.7955 | 0.562355 | ||||||||
\(893\) | 17.8831 | − | 27.9809i | 0.598435 | − | 0.936345i | ||||
\(894\) | −9.88282 | −0.330531 | ||||||||
\(895\) | −3.59932 | + | 1.31005i | −0.120312 | + | 0.0437900i | ||||
\(896\) | 0.135062 | − | 0.765974i | 0.00451210 | − | 0.0255894i | ||||
\(897\) | 1.59957 | − | 1.34220i | 0.0534081 | − | 0.0448147i | ||||
\(898\) | 6.23184 | + | 5.22913i | 0.207959 | + | 0.174498i | ||||
\(899\) | −6.73642 | − | 38.2042i | −0.224672 | − | 1.27418i | ||||
\(900\) | −0.283422 | − | 0.490901i | −0.00944739 | − | 0.0163634i | ||||
\(901\) | −10.5594 | + | 18.2893i | −0.351783 | + | 0.609306i | ||||
\(902\) | 2.93524 | + | 1.06834i | 0.0977329 | + | 0.0355719i | ||||
\(903\) | −0.337287 | − | 0.122762i | −0.0112242 | − | 0.00408528i | ||||
\(904\) | −7.42428 | + | 12.8592i | −0.246928 | + | 0.427691i | ||||
\(905\) | −8.34388 | − | 14.4520i | −0.277360 | − | 0.480401i | ||||
\(906\) | 0.987198 | + | 5.59868i | 0.0327975 | + | 0.186004i | ||||
\(907\) | 21.9521 | + | 18.4200i | 0.728908 | + | 0.611627i | 0.929834 | − | 0.367980i | \(-0.119951\pi\) |
−0.200926 | + | 0.979606i | \(0.564395\pi\) | |||||||
\(908\) | 1.52527 | − | 1.27986i | 0.0506180 | − | 0.0424735i | ||||
\(909\) | −0.190117 | + | 1.07821i | −0.00630579 | + | 0.0357619i | ||||
\(910\) | 0.00549515 | − | 0.00200007i | 0.000182162 | − | 6.63017e-5i | ||||
\(911\) | −47.5952 | −1.57690 | −0.788450 | − | 0.615099i | \(-0.789116\pi\) | ||||
−0.788450 | + | 0.615099i | \(0.789116\pi\) | |||||||
\(912\) | 13.2741 | − | 20.7694i | 0.439548 | − | 0.687743i | ||||
\(913\) | −60.3966 | −1.99884 | ||||||||
\(914\) | −11.1321 | + | 4.05174i | −0.368216 | + | 0.134020i | ||||
\(915\) | 0.282203 | − | 1.60045i | 0.00932935 | − | 0.0529094i | ||||
\(916\) | 19.6785 | − | 16.5122i | 0.650196 | − | 0.545579i | ||||
\(917\) | 0.474930 | + | 0.398514i | 0.0156836 | + | 0.0131601i | ||||
\(918\) | 0.728919 | + | 4.13391i | 0.0240579 | + | 0.136439i | ||||
\(919\) | 13.6098 | + | 23.5728i | 0.448945 | + | 0.777596i | 0.998318 | − | 0.0579814i | \(-0.0184664\pi\) |
−0.549372 | + | 0.835578i | \(0.685133\pi\) | |||||||
\(920\) | 3.58836 | − | 6.21522i | 0.118305 | − | 0.204910i | ||||
\(921\) | 45.8077 | + | 16.6727i | 1.50942 | + | 0.549383i | ||||
\(922\) | 9.83534 | + | 3.57977i | 0.323910 | + | 0.117894i | ||||
\(923\) | −0.657469 | + | 1.13877i | −0.0216408 | + | 0.0374830i | ||||
\(924\) | 0.470265 | + | 0.814523i | 0.0154706 | + | 0.0267958i | ||||
\(925\) | 0.320159 | + | 1.81571i | 0.0105268 | + | 0.0597002i | ||||
\(926\) | 1.27273 | + | 1.06795i | 0.0418245 | + | 0.0350949i | ||||
\(927\) | 0.805528 | − | 0.675919i | 0.0264570 | − | 0.0222001i | ||||
\(928\) | 2.89300 | − | 16.4070i | 0.0949672 | − | 0.538586i | ||||
\(929\) | 30.2956 | − | 11.0267i | 0.993967 | − | 0.361774i | 0.206712 | − | 0.978402i | \(-0.433724\pi\) |
0.787255 | + | 0.616627i | \(0.211501\pi\) | |||||||
\(930\) | 4.08496 | 0.133951 | ||||||||
\(931\) | −22.4405 | − | 20.6230i | −0.735457 | − | 0.675893i | ||||
\(932\) | −21.3716 | −0.700049 | ||||||||
\(933\) | −17.9540 | + | 6.53472i | −0.587787 | + | 0.213937i | ||||
\(934\) | −1.19953 | + | 6.80288i | −0.0392499 | + | 0.222597i | ||||
\(935\) | 6.48455 | − | 5.44118i | 0.212067 | − | 0.177946i | ||||
\(936\) | −0.0583546 | − | 0.0489653i | −0.00190738 | − | 0.00160048i | ||||
\(937\) | 3.15561 | + | 17.8964i | 0.103089 | + | 0.584649i | 0.991966 | + | 0.126503i | \(0.0403753\pi\) |
−0.888877 | + | 0.458146i | \(0.848514\pi\) | |||||||
\(938\) | 0.137077 | + | 0.237424i | 0.00447572 | + | 0.00775217i | ||||
\(939\) | −0.390318 | + | 0.676051i | −0.0127376 | + | 0.0220621i | ||||
\(940\) | −13.6387 | − | 4.96407i | −0.444845 | − | 0.161910i | ||||
\(941\) | −22.1364 | − | 8.05700i | −0.721627 | − | 0.262651i | −0.0450107 | − | 0.998987i | \(-0.514332\pi\) |
−0.676616 | + | 0.736336i | \(0.736554\pi\) | |||||||
\(942\) | −1.16775 | + | 2.02260i | −0.0380474 | + | 0.0659000i | ||||
\(943\) | −8.98729 | − | 15.5664i | −0.292666 | − | 0.506913i | ||||
\(944\) | 6.23334 | + | 35.3510i | 0.202878 | + | 1.15058i | ||||
\(945\) | 0.370398 | + | 0.310801i | 0.0120490 | + | 0.0101103i | ||||
\(946\) | −1.94445 | + | 1.63159i | −0.0632195 | + | 0.0530475i | ||||
\(947\) | −1.46413 | + | 8.30348i | −0.0475777 | + | 0.269827i | −0.999312 | − | 0.0370976i | \(-0.988189\pi\) |
0.951734 | + | 0.306924i | \(0.0992999\pi\) | |||||||
\(948\) | 3.02688 | − | 1.10169i | 0.0983084 | − | 0.0357813i | ||||
\(949\) | 3.35164 | 0.108799 | ||||||||
\(950\) | 1.28094 | − | 0.401831i | 0.0415592 | − | 0.0130371i | ||||
\(951\) | 33.2536 | 1.07832 | ||||||||
\(952\) | 0.253459 | − | 0.0922515i | 0.00821465 | − | 0.00298989i | ||||
\(953\) | 8.69527 | − | 49.3134i | 0.281668 | − | 1.59742i | −0.435284 | − | 0.900293i | \(-0.643352\pi\) |
0.716952 | − | 0.697123i | \(-0.245537\pi\) | |||||||
\(954\) | −0.589639 | + | 0.494766i | −0.0190903 | + | 0.0160186i | ||||
\(955\) | 6.07239 | + | 5.09534i | 0.196498 | + | 0.164881i | ||||
\(956\) | 6.72533 | + | 38.1413i | 0.217513 | + | 1.23358i | ||||
\(957\) | 13.3062 | + | 23.0471i | 0.430130 | + | 0.745007i | ||||
\(958\) | −4.42589 | + | 7.66587i | −0.142994 | + | 0.247673i | ||||
\(959\) | −1.76072 | − | 0.640851i | −0.0568568 | − | 0.0206942i | ||||
\(960\) | −8.97912 | − | 3.26813i | −0.289800 | − | 0.105478i | ||||
\(961\) | −17.0475 | + | 29.5272i | −0.549920 | + | 0.952489i | ||||
\(962\) | 0.0604385 | + | 0.104683i | 0.00194862 | + | 0.00337510i | ||||
\(963\) | 0.0974734 | + | 0.552799i | 0.00314104 | + | 0.0178137i | ||||
\(964\) | 5.61078 | + | 4.70801i | 0.180711 | + | 0.151635i | ||||
\(965\) | −16.2914 | + | 13.6701i | −0.524438 | + | 0.440056i | ||||
\(966\) | −0.0467934 | + | 0.265378i | −0.00150555 | + | 0.00853841i | ||||
\(967\) | 5.64610 | − | 2.05501i | 0.181566 | − | 0.0660847i | −0.249637 | − | 0.968339i | \(-0.580311\pi\) |
0.431203 | + | 0.902255i | \(0.358089\pi\) | |||||||
\(968\) | 0.403505 | 0.0129692 | ||||||||
\(969\) | 17.9979 | + | 0.812039i | 0.578175 | + | 0.0260864i | ||||
\(970\) | −5.17822 | −0.166263 | ||||||||
\(971\) | −33.8031 | + | 12.3033i | −1.08479 | + | 0.394832i | −0.821689 | − | 0.569936i | \(-0.806968\pi\) |
−0.263103 | + | 0.964768i | \(0.584746\pi\) | |||||||
\(972\) | 1.01902 | − | 5.77917i | 0.0326852 | − | 0.185367i | ||||
\(973\) | 1.07421 | − | 0.901371i | 0.0344377 | − | 0.0288966i | ||||
\(974\) | 8.12650 | + | 6.81894i | 0.260390 | + | 0.218493i | ||||
\(975\) | −0.0607666 | − | 0.344624i | −0.00194609 | − | 0.0110368i | ||||
\(976\) | 1.70029 | + | 2.94498i | 0.0544248 | + | 0.0942666i | ||||
\(977\) | −16.8174 | + | 29.1285i | −0.538035 | + | 0.931905i | 0.460974 | + | 0.887413i | \(0.347500\pi\) |
−0.999010 | + | 0.0444913i | \(0.985833\pi\) | |||||||
\(978\) | 0.273444 | + | 0.0995253i | 0.00874376 | + | 0.00318247i | ||||
\(979\) | 2.07656 | + | 0.755805i | 0.0663671 | + | 0.0241556i | ||||
\(980\) | −6.66042 | + | 11.5362i | −0.212759 | + | 0.368510i | ||||
\(981\) | −1.95775 | − | 3.39092i | −0.0625062 | − | 0.108264i | ||||
\(982\) | 1.03681 | + | 5.88002i | 0.0330858 | + | 0.187639i | ||||
\(983\) | 34.5023 | + | 28.9508i | 1.10045 | + | 0.923388i | 0.997455 | − | 0.0712938i | \(-0.0227128\pi\) |
0.102996 | + | 0.994682i | \(0.467157\pi\) | |||||||
\(984\) | 4.56257 | − | 3.82845i | 0.145449 | − | 0.122046i | ||||
\(985\) | 0.501396 | − | 2.84356i | 0.0159758 | − | 0.0906033i | ||||
\(986\) | 3.49873 | − | 1.27343i | 0.111422 | − | 0.0405544i | ||||
\(987\) | 1.11708 | 0.0355570 | ||||||||
\(988\) | −1.40401 | + | 1.07409i | −0.0446674 | + | 0.0341714i | ||||
\(989\) | 14.6064 | 0.464457 | ||||||||
\(990\) | 0.289918 | − | 0.105522i | 0.00921421 | − | 0.00335370i | ||||
\(991\) | −1.06445 | + | 6.03681i | −0.0338134 | + | 0.191765i | −0.997036 | − | 0.0769404i | \(-0.975485\pi\) |
0.963222 | + | 0.268706i | \(0.0865960\pi\) | |||||||
\(992\) | −21.4151 | + | 17.9694i | −0.679930 | + | 0.570529i | ||||
\(993\) | 7.57233 | + | 6.35394i | 0.240301 | + | 0.201636i | ||||
\(994\) | −0.0294673 | − | 0.167117i | −0.000934645 | − | 0.00530064i | ||||
\(995\) | −5.80743 | − | 10.0588i | −0.184108 | − | 0.318884i | ||||
\(996\) | −28.0912 | + | 48.6554i | −0.890104 | + | 1.54171i | ||||
\(997\) | 42.2085 | + | 15.3626i | 1.33676 | + | 0.486539i | 0.908789 | − | 0.417255i | \(-0.137008\pi\) |
0.427967 | + | 0.903795i | \(0.359230\pi\) | |||||||
\(998\) | 3.26125 | + | 1.18700i | 0.103233 | + | 0.0375738i | ||||
\(999\) | −4.99729 | + | 8.65556i | −0.158107 | + | 0.273850i |
(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 | 95.2.k.a.81.3 | yes | 18 | |
3.2 | odd | 2 | 855.2.bs.c.271.1 | 18 | |||
5.2 | odd | 4 | 475.2.u.b.24.4 | 36 | |||
5.3 | odd | 4 | 475.2.u.b.24.3 | 36 | |||
5.4 | even | 2 | 475.2.l.c.176.1 | 18 | |||
19.2 | odd | 18 | 1805.2.a.s.1.7 | 9 | |||
19.4 | even | 9 | inner | 95.2.k.a.61.3 | ✓ | 18 | |
19.17 | even | 9 | 1805.2.a.v.1.3 | 9 | |||
57.23 | odd | 18 | 855.2.bs.c.631.1 | 18 | |||
95.4 | even | 18 | 475.2.l.c.251.1 | 18 | |||
95.23 | odd | 36 | 475.2.u.b.99.4 | 36 | |||
95.42 | odd | 36 | 475.2.u.b.99.3 | 36 | |||
95.59 | odd | 18 | 9025.2.a.cf.1.3 | 9 | |||
95.74 | even | 18 | 9025.2.a.cc.1.7 | 9 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.k.a.61.3 | ✓ | 18 | 19.4 | even | 9 | inner | |
95.2.k.a.81.3 | yes | 18 | 1.1 | even | 1 | trivial | |
475.2.l.c.176.1 | 18 | 5.4 | even | 2 | |||
475.2.l.c.251.1 | 18 | 95.4 | even | 18 | |||
475.2.u.b.24.3 | 36 | 5.3 | odd | 4 | |||
475.2.u.b.24.4 | 36 | 5.2 | odd | 4 | |||
475.2.u.b.99.3 | 36 | 95.42 | odd | 36 | |||
475.2.u.b.99.4 | 36 | 95.23 | odd | 36 | |||
855.2.bs.c.271.1 | 18 | 3.2 | odd | 2 | |||
855.2.bs.c.631.1 | 18 | 57.23 | odd | 18 | |||
1805.2.a.s.1.7 | 9 | 19.2 | odd | 18 | |||
1805.2.a.v.1.3 | 9 | 19.17 | even | 9 | |||
9025.2.a.cc.1.7 | 9 | 95.74 | even | 18 | |||
9025.2.a.cf.1.3 | 9 | 95.59 | odd | 18 |