Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(348\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 625.20 | ||
Character | \(\chi\) | \(=\) | 637.625 |
Dual form | 637.2.bl.b.53.20 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{16}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.12577 | − | 0.767535i | 0.796038 | − | 0.542729i | −0.0956317 | − | 0.995417i | \(-0.530487\pi\) |
0.891669 | + | 0.452688i | \(0.149535\pi\) | |||||||
\(3\) | −0.0507932 | + | 0.0471292i | −0.0293255 | + | 0.0272101i | −0.694699 | − | 0.719300i | \(-0.744463\pi\) |
0.665374 | + | 0.746510i | \(0.268272\pi\) | |||||||
\(4\) | −0.0524406 | + | 0.133616i | −0.0262203 | + | 0.0668082i | ||||
\(5\) | 0.822051 | + | 0.253569i | 0.367633 | + | 0.113400i | 0.473067 | − | 0.881027i | \(-0.343147\pi\) |
−0.105434 | + | 0.994426i | \(0.533623\pi\) | |||||||
\(6\) | −0.0210080 | + | 0.0920421i | −0.00857649 | + | 0.0375760i | ||||
\(7\) | −2.32385 | − | 1.26480i | −0.878333 | − | 0.478049i | ||||
\(8\) | 0.649898 | + | 2.84739i | 0.229774 | + | 1.00670i | ||||
\(9\) | −0.223831 | + | 2.98682i | −0.0746105 | + | 0.995608i | ||||
\(10\) | 1.12006 | − | 0.345493i | 0.354195 | − | 0.109255i | ||||
\(11\) | 0.329926 | + | 4.40256i | 0.0994764 | + | 1.32742i | 0.793985 | + | 0.607937i | \(0.208003\pi\) |
−0.694509 | + | 0.719484i | \(0.744378\pi\) | |||||||
\(12\) | −0.00363361 | − | 0.00925829i | −0.00104893 | − | 0.00267264i | ||||
\(13\) | −0.900969 | − | 0.433884i | −0.249884 | − | 0.120338i | ||||
\(14\) | −3.58689 | + | 0.359769i | −0.958637 | + | 0.0961522i | ||||
\(15\) | −0.0537052 | + | 0.0258630i | −0.0138666 | + | 0.00667781i | ||||
\(16\) | 2.70666 | + | 2.51141i | 0.676665 | + | 0.627854i | ||||
\(17\) | 7.62761 | + | 1.14968i | 1.84997 | + | 0.278838i | 0.977672 | − | 0.210139i | \(-0.0673917\pi\) |
0.872297 | + | 0.488977i | \(0.162630\pi\) | |||||||
\(18\) | 2.04051 | + | 3.53427i | 0.480953 | + | 0.833035i | ||||
\(19\) | −0.00360290 | + | 0.00624041i | −0.000826562 | + | 0.00143165i | −0.866438 | − | 0.499284i | \(-0.833596\pi\) |
0.865612 | + | 0.500716i | \(0.166930\pi\) | |||||||
\(20\) | −0.0769898 | + | 0.0965422i | −0.0172155 | + | 0.0215875i | ||||
\(21\) | 0.177645 | − | 0.0452781i | 0.0387653 | − | 0.00988050i | ||||
\(22\) | 3.75054 | + | 4.70302i | 0.799617 | + | 1.00269i | ||||
\(23\) | 3.66154 | − | 0.551889i | 0.763485 | − | 0.115077i | 0.244254 | − | 0.969711i | \(-0.421457\pi\) |
0.519230 | + | 0.854634i | \(0.326219\pi\) | |||||||
\(24\) | −0.167206 | − | 0.113999i | −0.0341307 | − | 0.0232699i | ||||
\(25\) | −3.51972 | − | 2.39971i | −0.703945 | − | 0.479941i | ||||
\(26\) | −1.34730 | + | 0.203073i | −0.264228 | + | 0.0398259i | ||||
\(27\) | −0.259003 | − | 0.324779i | −0.0498451 | − | 0.0625037i | ||||
\(28\) | 0.290862 | − | 0.244178i | 0.0549677 | − | 0.0461453i | ||||
\(29\) | −3.01613 | + | 3.78211i | −0.560081 | + | 0.702320i | −0.978573 | − | 0.205901i | \(-0.933988\pi\) |
0.418492 | + | 0.908221i | \(0.362559\pi\) | |||||||
\(30\) | −0.0406087 | + | 0.0703364i | −0.00741410 | + | 0.0128416i | ||||
\(31\) | −1.38027 | − | 2.39069i | −0.247903 | − | 0.429381i | 0.715041 | − | 0.699083i | \(-0.246408\pi\) |
−0.962944 | + | 0.269702i | \(0.913075\pi\) | |||||||
\(32\) | −0.801319 | − | 0.120779i | −0.141654 | − | 0.0213510i | ||||
\(33\) | −0.224247 | − | 0.208071i | −0.0390364 | − | 0.0362205i | ||||
\(34\) | 9.46933 | − | 4.56019i | 1.62398 | − | 0.782066i | ||||
\(35\) | −1.58961 | − | 1.62899i | −0.268693 | − | 0.275349i | ||||
\(36\) | −0.387351 | − | 0.186538i | −0.0645585 | − | 0.0310897i | ||||
\(37\) | −2.04066 | − | 5.19953i | −0.335483 | − | 0.854797i | −0.994698 | − | 0.102842i | \(-0.967206\pi\) |
0.659214 | − | 0.751955i | \(-0.270889\pi\) | |||||||
\(38\) | 0.000733704 | 0.00979060i | 0.000119022 | 0.00158824i | ||||||
\(39\) | 0.0662117 | − | 0.0204236i | 0.0106024 | − | 0.00327040i | ||||
\(40\) | −0.187761 | + | 2.50549i | −0.0296876 | + | 0.396153i | ||||
\(41\) | 2.13558 | + | 9.35658i | 0.333521 | + | 1.46125i | 0.812260 | + | 0.583295i | \(0.198237\pi\) |
−0.478739 | + | 0.877957i | \(0.658906\pi\) | |||||||
\(42\) | 0.165234 | − | 0.187321i | 0.0254962 | − | 0.0289043i | ||||
\(43\) | 0.997409 | − | 4.36993i | 0.152103 | − | 0.666409i | −0.840168 | − | 0.542326i | \(-0.817544\pi\) |
0.992272 | − | 0.124083i | \(-0.0395989\pi\) | |||||||
\(44\) | −0.605555 | − | 0.186789i | −0.0912909 | − | 0.0281595i | ||||
\(45\) | −0.941368 | + | 2.39857i | −0.140331 | + | 0.357557i | ||||
\(46\) | 3.69845 | − | 3.43166i | 0.545307 | − | 0.505971i | ||||
\(47\) | 7.00132 | − | 4.77342i | 1.02125 | − | 0.696275i | 0.0677580 | − | 0.997702i | \(-0.478415\pi\) |
0.953489 | + | 0.301427i | \(0.0974630\pi\) | |||||||
\(48\) | −0.255841 | −0.0369275 | ||||||||
\(49\) | 3.80057 | + | 5.87841i | 0.542938 | + | 0.839772i | ||||
\(50\) | −5.80425 | −0.820844 | ||||||||
\(51\) | −0.441615 | + | 0.301088i | −0.0618384 | + | 0.0421607i | ||||
\(52\) | 0.105221 | − | 0.0976311i | 0.0145916 | − | 0.0135390i | ||||
\(53\) | 0.126003 | − | 0.321051i | 0.0173079 | − | 0.0440997i | −0.921959 | − | 0.387288i | \(-0.873412\pi\) |
0.939266 | + | 0.343189i | \(0.111507\pi\) | |||||||
\(54\) | −0.540856 | − | 0.166832i | −0.0736011 | − | 0.0227029i | ||||
\(55\) | −0.845137 | + | 3.70279i | −0.113958 | + | 0.499284i | ||||
\(56\) | 2.09111 | − | 7.43890i | 0.279436 | − | 0.994065i | ||||
\(57\) | −0.000111103 | 0 | 0.000486772i | −1.47159e−5 | 0 | 6.44746e-5i | ||||
\(58\) | −0.492560 | + | 6.57276i | −0.0646763 | + | 0.863045i | ||||
\(59\) | −2.64773 | + | 0.816715i | −0.344705 | + | 0.106327i | −0.462273 | − | 0.886737i | \(-0.652966\pi\) |
0.117569 | + | 0.993065i | \(0.462490\pi\) | |||||||
\(60\) | −0.000639397 | − | 0.00853216i | −8.25458e−5 | − | 0.00110150i | ||||
\(61\) | 2.59051 | + | 6.60050i | 0.331680 | + | 0.845108i | 0.995282 | + | 0.0970218i | \(0.0309317\pi\) |
−0.663602 | + | 0.748086i | \(0.730973\pi\) | |||||||
\(62\) | −3.38880 | − | 1.63196i | −0.430378 | − | 0.207259i | ||||
\(63\) | 4.29788 | − | 6.65783i | 0.541482 | − | 0.838808i | ||||
\(64\) | −7.64813 | + | 3.68315i | −0.956016 | + | 0.460393i | ||||
\(65\) | −0.630623 | − | 0.585133i | −0.0782192 | − | 0.0725768i | ||||
\(66\) | −0.412152 | − | 0.0621219i | −0.0507324 | − | 0.00764668i | ||||
\(67\) | −8.07221 | − | 13.9815i | −0.986178 | − | 1.70811i | −0.636581 | − | 0.771210i | \(-0.719652\pi\) |
−0.349596 | − | 0.936900i | \(-0.613681\pi\) | |||||||
\(68\) | −0.553612 | + | 0.958884i | −0.0671353 | + | 0.116282i | ||||
\(69\) | −0.159972 | + | 0.200598i | −0.0192583 | + | 0.0241492i | ||||
\(70\) | −3.03984 | − | 0.613777i | −0.363330 | − | 0.0733604i | ||||
\(71\) | 7.71283 | + | 9.67159i | 0.915345 | + | 1.14781i | 0.988611 | + | 0.150494i | \(0.0480864\pi\) |
−0.0732659 | + | 0.997312i | \(0.523342\pi\) | |||||||
\(72\) | −8.65012 | + | 1.30380i | −1.01943 | + | 0.153654i | ||||
\(73\) | −5.85753 | − | 3.99360i | −0.685572 | − | 0.467415i | 0.169767 | − | 0.985484i | \(-0.445699\pi\) |
−0.855339 | + | 0.518069i | \(0.826651\pi\) | |||||||
\(74\) | −6.28813 | − | 4.28718i | −0.730981 | − | 0.498374i | ||||
\(75\) | 0.291874 | − | 0.0439930i | 0.0337028 | − | 0.00507987i | ||||
\(76\) | −0.000644883 | 0 | 0.000808657i | −7.39731e−5 | 0 | 9.27593e-5i | ||||
\(77\) | 4.80165 | − | 10.6482i | 0.547199 | − | 1.21347i | ||||
\(78\) | 0.0588631 | − | 0.0738120i | 0.00666494 | − | 0.00835757i | ||||
\(79\) | 8.47799 | − | 14.6843i | 0.953848 | − | 1.65211i | 0.216866 | − | 0.976201i | \(-0.430417\pi\) |
0.736982 | − | 0.675912i | \(-0.236250\pi\) | |||||||
\(80\) | 1.58820 | + | 2.75084i | 0.177566 | + | 0.307553i | ||||
\(81\) | −8.85677 | − | 1.33494i | −0.984086 | − | 0.148327i | ||||
\(82\) | 9.58567 | + | 8.89420i | 1.05856 | + | 0.982200i | ||||
\(83\) | −4.51922 | + | 2.17634i | −0.496049 | + | 0.238885i | −0.665144 | − | 0.746715i | \(-0.731630\pi\) |
0.169095 | + | 0.985600i | \(0.445916\pi\) | |||||||
\(84\) | −0.00326590 | + | 0.0261107i | −0.000356339 | + | 0.00284891i | ||||
\(85\) | 5.97877 | + | 2.87922i | 0.648488 | + | 0.312296i | ||||
\(86\) | −2.23123 | − | 5.68507i | −0.240599 | − | 0.613037i | ||||
\(87\) | −0.0250488 | − | 0.334253i | −0.00268552 | − | 0.0358357i | ||||
\(88\) | −12.3214 | + | 3.80064i | −1.31346 | + | 0.405150i | ||||
\(89\) | −0.0121990 | + | 0.162784i | −0.00129309 | + | 0.0172551i | −0.997813 | − | 0.0660997i | \(-0.978944\pi\) |
0.996520 | + | 0.0833549i | \(0.0265635\pi\) | |||||||
\(90\) | 0.781222 | + | 3.42276i | 0.0823481 | + | 0.360790i | ||||
\(91\) | 1.54494 | + | 2.14783i | 0.161954 | + | 0.225153i | ||||
\(92\) | −0.118272 | + | 0.518183i | −0.0123307 | + | 0.0540244i | ||||
\(93\) | 0.182780 | + | 0.0563801i | 0.0189534 | + | 0.00584634i | ||||
\(94\) | 4.21809 | − | 10.7475i | 0.435063 | − | 1.10852i | ||||
\(95\) | −0.00454415 | + | 0.00421635i | −0.000466219 | + | 0.000432588i | ||||
\(96\) | 0.0463938 | − | 0.0316308i | 0.00473505 | − | 0.00322830i | ||||
\(97\) | 12.1250 | 1.23111 | 0.615555 | − | 0.788094i | \(-0.288932\pi\) | ||||
0.615555 | + | 0.788094i | \(0.288932\pi\) | |||||||
\(98\) | 8.79044 | + | 3.70065i | 0.887968 | + | 0.373822i | ||||
\(99\) | −13.2235 | −1.32901 | ||||||||
\(100\) | 0.505216 | − | 0.344451i | 0.0505216 | − | 0.0344451i | ||||
\(101\) | 11.0219 | − | 10.2268i | 1.09672 | − | 1.01761i | 0.0969679 | − | 0.995288i | \(-0.469086\pi\) |
0.999751 | − | 0.0223188i | \(-0.00710490\pi\) | |||||||
\(102\) | −0.266060 | + | 0.677909i | −0.0263438 | + | 0.0671230i | ||||
\(103\) | −3.75423 | − | 1.15803i | −0.369915 | − | 0.114104i | 0.104224 | − | 0.994554i | \(-0.466764\pi\) |
−0.474139 | + | 0.880450i | \(0.657240\pi\) | |||||||
\(104\) | 0.649898 | − | 2.84739i | 0.0637277 | − | 0.279209i | ||||
\(105\) | 0.157514 | + | 0.00782435i | 0.0153718 | + | 0.000763578i | ||||
\(106\) | −0.104568 | − | 0.458140i | −0.0101565 | − | 0.0444985i | ||||
\(107\) | 0.371305 | − | 4.95472i | 0.0358954 | − | 0.478991i | −0.950069 | − | 0.312038i | \(-0.898988\pi\) |
0.985965 | − | 0.166953i | \(-0.0533927\pi\) | |||||||
\(108\) | 0.0569780 | − | 0.0175754i | 0.00548271 | − | 0.00169119i | ||||
\(109\) | 0.528408 | + | 7.05112i | 0.0506123 | + | 0.675375i | 0.963593 | + | 0.267372i | \(0.0861554\pi\) |
−0.912981 | + | 0.408002i | \(0.866226\pi\) | |||||||
\(110\) | 1.89059 | + | 4.81715i | 0.180261 | + | 0.459297i | ||||
\(111\) | 0.348702 | + | 0.167926i | 0.0330973 | + | 0.0159388i | ||||
\(112\) | −3.11344 | − | 9.25954i | −0.294193 | − | 0.874944i | ||||
\(113\) | 5.14252 | − | 2.47651i | 0.483768 | − | 0.232970i | −0.176071 | − | 0.984377i | \(-0.556339\pi\) |
0.659839 | + | 0.751407i | \(0.270625\pi\) | |||||||
\(114\) | −0.000498691 | 0 | 0.000462717i | −4.67067e−5 | 0 | 4.33374e-5i | ||||
\(115\) | 3.14992 | + | 0.474774i | 0.293731 | + | 0.0442729i | ||||
\(116\) | −0.347184 | − | 0.601340i | −0.0322352 | − | 0.0558330i | ||||
\(117\) | 1.49760 | − | 2.59392i | 0.138453 | − | 0.239808i | ||||
\(118\) | −2.35386 | + | 2.95165i | −0.216691 | + | 0.271722i | ||||
\(119\) | −16.2713 | − | 12.3191i | −1.49159 | − | 1.12929i | ||||
\(120\) | −0.108545 | − | 0.136111i | −0.00990876 | − | 0.0124252i | ||||
\(121\) | −8.39652 | + | 1.26557i | −0.763320 | + | 0.115052i | ||||
\(122\) | 7.98242 | + | 5.44232i | 0.722695 | + | 0.492725i | ||||
\(123\) | −0.549442 | − | 0.374603i | −0.0495415 | − | 0.0337768i | ||||
\(124\) | 0.391818 | − | 0.0590570i | 0.0351863 | − | 0.00530348i | ||||
\(125\) | −4.96675 | − | 6.22811i | −0.444240 | − | 0.557059i | ||||
\(126\) | −0.271706 | − | 10.7939i | −0.0242055 | − | 0.961601i | ||||
\(127\) | −4.62753 | + | 5.80274i | −0.410627 | + | 0.514910i | −0.943539 | − | 0.331261i | \(-0.892526\pi\) |
0.532913 | + | 0.846170i | \(0.321097\pi\) | |||||||
\(128\) | −4.97270 | + | 8.61297i | −0.439529 | + | 0.761286i | ||||
\(129\) | 0.155290 | + | 0.268970i | 0.0136725 | + | 0.0236815i | ||||
\(130\) | −1.15904 | − | 0.174698i | −0.101655 | − | 0.0153220i | ||||
\(131\) | −11.0526 | − | 10.2553i | −0.965667 | − | 0.896008i | 0.0289551 | − | 0.999581i | \(-0.490782\pi\) |
−0.994622 | + | 0.103573i | \(0.966973\pi\) | |||||||
\(132\) | 0.0395613 | − | 0.0190517i | 0.00344337 | − | 0.00165824i | ||||
\(133\) | 0.0162655 | − | 0.00994484i | 0.00141039 | − | 0.000862327i | ||||
\(134\) | −19.8187 | − | 9.54419i | −1.71208 | − | 0.824492i | ||||
\(135\) | −0.130559 | − | 0.332660i | −0.0112368 | − | 0.0286308i | ||||
\(136\) | 1.68359 | + | 22.4660i | 0.144367 | + | 1.92644i | ||||
\(137\) | −12.0845 | + | 3.72757i | −1.03245 | + | 0.318468i | −0.764267 | − | 0.644900i | \(-0.776899\pi\) |
−0.268181 | + | 0.963368i | \(0.586423\pi\) | |||||||
\(138\) | −0.0261247 | + | 0.348610i | −0.00222388 | + | 0.0296757i | ||||
\(139\) | 0.935714 | + | 4.09963i | 0.0793663 | + | 0.347726i | 0.998983 | − | 0.0450908i | \(-0.0143577\pi\) |
−0.919617 | + | 0.392817i | \(0.871501\pi\) | |||||||
\(140\) | 0.301019 | − | 0.126973i | 0.0254408 | − | 0.0107312i | ||||
\(141\) | −0.130652 | + | 0.572424i | −0.0110029 | + | 0.0482068i | ||||
\(142\) | 16.1061 | + | 4.96809i | 1.35160 | + | 0.416912i | ||||
\(143\) | 1.61294 | − | 4.10972i | 0.134881 | − | 0.343672i | ||||
\(144\) | −8.10699 | + | 7.52219i | −0.675582 | + | 0.626849i | ||||
\(145\) | −3.43844 | + | 2.34429i | −0.285547 | + | 0.194683i | ||||
\(146\) | −9.65944 | −0.799421 | ||||||||
\(147\) | −0.470088 | − | 0.119465i | −0.0387722 | − | 0.00985334i | ||||
\(148\) | 0.801756 | 0.0659039 | ||||||||
\(149\) | −7.58385 | + | 5.17058i | −0.621293 | + | 0.423590i | −0.832635 | − | 0.553822i | \(-0.813169\pi\) |
0.211342 | + | 0.977412i | \(0.432217\pi\) | |||||||
\(150\) | 0.294816 | − | 0.273550i | 0.0240717 | − | 0.0223352i | ||||
\(151\) | 1.44629 | − | 3.68508i | 0.117697 | − | 0.299887i | −0.859869 | − | 0.510514i | \(-0.829455\pi\) |
0.977567 | + | 0.210627i | \(0.0675504\pi\) | |||||||
\(152\) | −0.0201104 | − | 0.00620323i | −0.00163117 | − | 0.000503149i | ||||
\(153\) | −5.14119 | + | 22.5250i | −0.415640 | + | 1.82104i | ||||
\(154\) | −2.76731 | − | 15.6728i | −0.222996 | − | 1.26295i | ||||
\(155\) | −0.528444 | − | 2.31527i | −0.0424457 | − | 0.185967i | ||||
\(156\) | −0.000743251 | 0.00991800i | −5.95077e−5 | 0.000794075i | ||||||
\(157\) | 21.7097 | − | 6.69656i | 1.73262 | − | 0.534444i | 0.741922 | − | 0.670487i | \(-0.233915\pi\) |
0.990703 | + | 0.136043i | \(0.0434384\pi\) | |||||||
\(158\) | −1.72648 | − | 23.0383i | −0.137351 | − | 1.83283i | ||||
\(159\) | 0.00873077 | + | 0.0222456i | 0.000692395 | + | 0.00176419i | ||||
\(160\) | −0.628099 | − | 0.302477i | −0.0496556 | − | 0.0239129i | ||||
\(161\) | −9.20691 | − | 3.34861i | −0.725606 | − | 0.263907i | ||||
\(162\) | −10.9953 | + | 5.29505i | −0.863871 | + | 0.416018i | ||||
\(163\) | −0.397743 | − | 0.369051i | −0.0311536 | − | 0.0289063i | 0.664442 | − | 0.747340i | \(-0.268669\pi\) |
−0.695596 | + | 0.718433i | \(0.744860\pi\) | |||||||
\(164\) | −1.36218 | − | 0.205316i | −0.106369 | − | 0.0160325i | ||||
\(165\) | −0.131582 | − | 0.227907i | −0.0102437 | − | 0.0177426i | ||||
\(166\) | −3.41717 | + | 5.91872i | −0.265224 | + | 0.459382i | ||||
\(167\) | 5.75128 | − | 7.21188i | 0.445047 | − | 0.558072i | −0.507818 | − | 0.861464i | \(-0.669548\pi\) |
0.952866 | + | 0.303392i | \(0.0981193\pi\) | |||||||
\(168\) | 0.244375 | + | 0.476398i | 0.0188540 | + | 0.0367549i | ||||
\(169\) | 0.623490 | + | 0.781831i | 0.0479608 | + | 0.0601409i | ||||
\(170\) | 8.94060 | − | 1.34758i | 0.685713 | − | 0.103355i | ||||
\(171\) | −0.0178326 | − | 0.0121580i | −0.00136369 | − | 0.000929748i | ||||
\(172\) | 0.531590 | + | 0.362432i | 0.0405334 | + | 0.0276352i | ||||
\(173\) | 5.16455 | − | 0.778430i | 0.392653 | − | 0.0591830i | 0.0502515 | − | 0.998737i | \(-0.483998\pi\) |
0.342402 | + | 0.939554i | \(0.388760\pi\) | |||||||
\(174\) | −0.284750 | − | 0.357066i | −0.0215869 | − | 0.0270691i | ||||
\(175\) | 5.14417 | + | 10.0283i | 0.388862 | + | 0.758068i | ||||
\(176\) | −10.1636 | + | 12.7448i | −0.766114 | + | 0.960676i | ||||
\(177\) | 0.0959954 | − | 0.166269i | 0.00721546 | − | 0.0124975i | ||||
\(178\) | 0.111210 | + | 0.192621i | 0.00833551 | + | 0.0144375i | ||||
\(179\) | 12.7607 | + | 1.92337i | 0.953780 | + | 0.143759i | 0.607454 | − | 0.794355i | \(-0.292191\pi\) |
0.346326 | + | 0.938114i | \(0.387429\pi\) | |||||||
\(180\) | −0.271122 | − | 0.251564i | −0.0202082 | − | 0.0187505i | ||||
\(181\) | 7.01118 | − | 3.37641i | 0.521137 | − | 0.250966i | −0.154774 | − | 0.987950i | \(-0.549465\pi\) |
0.675911 | + | 0.736984i | \(0.263751\pi\) | |||||||
\(182\) | 3.38778 | + | 1.23215i | 0.251119 | + | 0.0913333i | ||||
\(183\) | −0.442657 | − | 0.213172i | −0.0327221 | − | 0.0157581i | ||||
\(184\) | 3.95107 | + | 10.0672i | 0.291277 | + | 0.742161i | ||||
\(185\) | −0.359090 | − | 4.79173i | −0.0264009 | − | 0.352295i | ||||
\(186\) | 0.249041 | − | 0.0768190i | 0.0182606 | − | 0.00563264i | ||||
\(187\) | −2.54497 | + | 33.9603i | −0.186107 | + | 2.48342i | ||||
\(188\) | 0.270654 | + | 1.18581i | 0.0197395 | + | 0.0864842i | ||||
\(189\) | 0.191104 | + | 1.08232i | 0.0139007 | + | 0.0787275i | ||||
\(190\) | −0.00187945 | + | 0.00823442i | −0.000136350 | + | 0.000597388i | ||||
\(191\) | 8.87987 | + | 2.73908i | 0.642525 | + | 0.198193i | 0.598860 | − | 0.800854i | \(-0.295621\pi\) |
0.0436645 | + | 0.999046i | \(0.486097\pi\) | |||||||
\(192\) | 0.214889 | − | 0.547529i | 0.0155083 | − | 0.0395145i | ||||
\(193\) | −10.7211 | + | 9.94771i | −0.771721 | + | 0.716052i | −0.964179 | − | 0.265253i | \(-0.914545\pi\) |
0.192458 | + | 0.981305i | \(0.438354\pi\) | |||||||
\(194\) | 13.6500 | − | 9.30638i | 0.980010 | − | 0.668159i | ||||
\(195\) | 0.0596082 | 0.00426863 | ||||||||
\(196\) | −0.984755 | + | 0.199551i | −0.0703397 | + | 0.0142537i | ||||
\(197\) | 25.6698 | 1.82889 | 0.914447 | − | 0.404705i | \(-0.132626\pi\) | ||||
0.914447 | + | 0.404705i | \(0.132626\pi\) | |||||||
\(198\) | −14.8866 | + | 10.1495i | −1.05794 | + | 0.721294i | ||||
\(199\) | 3.63715 | − | 3.37478i | 0.257831 | − | 0.239232i | −0.540657 | − | 0.841243i | \(-0.681824\pi\) |
0.798488 | + | 0.602011i | \(0.205634\pi\) | |||||||
\(200\) | 4.54544 | − | 11.5816i | 0.321411 | − | 0.818942i | ||||
\(201\) | 1.06895 | + | 0.329727i | 0.0753979 | + | 0.0232572i | ||||
\(202\) | 4.55864 | − | 19.9727i | 0.320745 | − | 1.40527i | ||||
\(203\) | 11.7926 | − | 4.97426i | 0.827681 | − | 0.349124i | ||||
\(204\) | −0.0170717 | − | 0.0747962i | −0.00119526 | − | 0.00523678i | ||||
\(205\) | −0.616986 | + | 8.23311i | −0.0430922 | + | 0.575025i | ||||
\(206\) | −5.11521 | + | 1.57783i | −0.356394 | + | 0.109933i | ||||
\(207\) | 0.828826 | + | 11.0599i | 0.0576074 | + | 0.768717i | ||||
\(208\) | −1.34896 | − | 3.43708i | −0.0935333 | − | 0.238319i | ||||
\(209\) | −0.0286624 | − | 0.0138031i | −0.00198262 | − | 0.000954781i | ||||
\(210\) | 0.183330 | − | 0.112089i | 0.0126510 | − | 0.00773490i | ||||
\(211\) | −3.24345 | + | 1.56196i | −0.223288 | + | 0.107530i | −0.542184 | − | 0.840260i | \(-0.682402\pi\) |
0.318896 | + | 0.947790i | \(0.396688\pi\) | |||||||
\(212\) | 0.0362900 | + | 0.0336722i | 0.00249240 | + | 0.00231261i | ||||
\(213\) | −0.847574 | − | 0.127751i | −0.0580748 | − | 0.00875337i | ||||
\(214\) | −3.38492 | − | 5.86285i | −0.231388 | − | 0.400776i | ||||
\(215\) | 1.92800 | − | 3.33940i | 0.131489 | − | 0.227745i | ||||
\(216\) | 0.756447 | − | 0.948554i | 0.0514697 | − | 0.0645409i | ||||
\(217\) | 0.183791 | + | 7.30138i | 0.0124765 | + | 0.495650i | ||||
\(218\) | 6.00684 | + | 7.53234i | 0.406835 | + | 0.510155i | ||||
\(219\) | 0.485738 | − | 0.0732132i | 0.0328231 | − | 0.00494729i | ||||
\(220\) | −0.450434 | − | 0.307100i | −0.0303682 | − | 0.0207047i | ||||
\(221\) | −6.37342 | − | 4.34532i | −0.428722 | − | 0.292298i | ||||
\(222\) | 0.521446 | − | 0.0785953i | 0.0349972 | − | 0.00527497i | ||||
\(223\) | −1.10564 | − | 1.38643i | −0.0740393 | − | 0.0928423i | 0.743433 | − | 0.668811i | \(-0.233196\pi\) |
−0.817472 | + | 0.575969i | \(0.804625\pi\) | |||||||
\(224\) | 1.70938 | + | 1.29418i | 0.114213 | + | 0.0864710i | ||||
\(225\) | 7.95532 | − | 9.97566i | 0.530355 | − | 0.665044i | ||||
\(226\) | 3.88847 | − | 6.73504i | 0.258657 | − | 0.448008i | ||||
\(227\) | −11.4383 | − | 19.8118i | −0.759189 | − | 1.31495i | −0.943265 | − | 0.332041i | \(-0.892263\pi\) |
0.184076 | − | 0.982912i | \(-0.441071\pi\) | |||||||
\(228\) | 7.08671e−5 | 0 | 1.06815e-5i | 4.69329e−6 | 0 | 7.07399e-7i | ||||
\(229\) | −14.9599 | − | 13.8808i | −0.988580 | − | 0.917268i | 0.00799461 | − | 0.999968i | \(-0.497455\pi\) |
−0.996574 | + | 0.0827000i | \(0.973646\pi\) | |||||||
\(230\) | 3.91048 | − | 1.88319i | 0.257849 | − | 0.124174i | ||||
\(231\) | 0.257949 | + | 0.767153i | 0.0169718 | + | 0.0504750i | ||||
\(232\) | −12.7293 | − | 6.13011i | −0.835720 | − | 0.402461i | ||||
\(233\) | 3.99363 | + | 10.1756i | 0.261631 | + | 0.666626i | 0.999970 | − | 0.00780474i | \(-0.00248435\pi\) |
−0.738338 | + | 0.674431i | \(0.764389\pi\) | |||||||
\(234\) | −0.304975 | − | 4.06961i | −0.0199368 | − | 0.266039i | ||||
\(235\) | 6.96584 | − | 2.14868i | 0.454401 | − | 0.140164i | ||||
\(236\) | 0.0297217 | − | 0.396609i | 0.00193472 | − | 0.0258170i | ||||
\(237\) | 0.261436 | + | 1.14542i | 0.0169821 | + | 0.0744033i | ||||
\(238\) | −27.7730 | − | 1.37959i | −1.80026 | − | 0.0894258i | ||||
\(239\) | −1.76915 | + | 7.75115i | −0.114437 | + | 0.501380i | 0.884927 | + | 0.465729i | \(0.154208\pi\) |
−0.999364 | + | 0.0356516i | \(0.988649\pi\) | |||||||
\(240\) | −0.210315 | − | 0.0648734i | −0.0135757 | − | 0.00418756i | ||||
\(241\) | 5.14127 | − | 13.0997i | 0.331178 | − | 0.843829i | −0.664178 | − | 0.747574i | \(-0.731218\pi\) |
0.995357 | − | 0.0962547i | \(-0.0306863\pi\) | |||||||
\(242\) | −8.48115 | + | 7.86936i | −0.545189 | + | 0.505862i | ||||
\(243\) | 1.54246 | − | 1.05163i | 0.0989487 | − | 0.0674621i | ||||
\(244\) | −1.01778 | −0.0651569 | ||||||||
\(245\) | 1.63368 | + | 5.79606i | 0.104372 | + | 0.370297i | ||||
\(246\) | −0.906064 | −0.0577685 | ||||||||
\(247\) | 0.00595371 | − | 0.00405917i | 0.000378826 | − | 0.000258279i | ||||
\(248\) | 5.91020 | − | 5.48386i | 0.375298 | − | 0.348226i | ||||
\(249\) | 0.126977 | − | 0.323531i | 0.00804681 | − | 0.0205029i | ||||
\(250\) | −10.3717 | − | 3.19924i | −0.655964 | − | 0.202338i | ||||
\(251\) | 3.69057 | − | 16.1694i | 0.232946 | − | 1.02060i | −0.714235 | − | 0.699906i | \(-0.753225\pi\) |
0.947181 | − | 0.320699i | \(-0.103918\pi\) | |||||||
\(252\) | 0.664212 | + | 0.923408i | 0.0418414 | + | 0.0581692i | ||||
\(253\) | 3.63776 | + | 15.9381i | 0.228704 | + | 1.00202i | ||||
\(254\) | −0.755715 | + | 10.0843i | −0.0474178 | + | 0.632746i | ||||
\(255\) | −0.439376 | + | 0.135530i | −0.0275148 | + | 0.00848720i | ||||
\(256\) | −0.256082 | − | 3.41718i | −0.0160051 | − | 0.213574i | ||||
\(257\) | 5.07405 | + | 12.9285i | 0.316511 | + | 0.806456i | 0.997263 | + | 0.0739420i | \(0.0235580\pi\) |
−0.680752 | + | 0.732514i | \(0.738347\pi\) | |||||||
\(258\) | 0.381264 | + | 0.183607i | 0.0237365 | + | 0.0114309i | ||||
\(259\) | −1.83416 | + | 14.6640i | −0.113969 | + | 0.911174i | ||||
\(260\) | 0.111254 | − | 0.0535769i | 0.00689965 | − | 0.00332270i | ||||
\(261\) | −10.6214 | − | 9.85520i | −0.657447 | − | 0.610022i | ||||
\(262\) | −20.3139 | − | 3.06183i | −1.25500 | − | 0.189160i | ||||
\(263\) | 4.04388 | + | 7.00421i | 0.249357 | + | 0.431898i | 0.963347 | − | 0.268257i | \(-0.0864476\pi\) |
−0.713991 | + | 0.700155i | \(0.753114\pi\) | |||||||
\(264\) | 0.446721 | − | 0.773744i | 0.0274938 | − | 0.0476206i | ||||
\(265\) | 0.184990 | − | 0.231970i | 0.0113638 | − | 0.0142498i | ||||
\(266\) | 0.0106781 | − | 0.0236799i | 0.000654717 | − | 0.00145191i | ||||
\(267\) | −0.00705228 | − | 0.00884328i | −0.000431592 | − | 0.000541200i | ||||
\(268\) | 2.29147 | − | 0.345383i | 0.139974 | − | 0.0210976i | ||||
\(269\) | 13.1701 | + | 8.97922i | 0.802995 | + | 0.547473i | 0.893837 | − | 0.448393i | \(-0.148003\pi\) |
−0.0908418 | + | 0.995865i | \(0.528956\pi\) | |||||||
\(270\) | −0.402308 | − | 0.274289i | −0.0244837 | − | 0.0166927i | ||||
\(271\) | 15.7551 | − | 2.37470i | 0.957054 | − | 0.144253i | 0.348099 | − | 0.937458i | \(-0.386827\pi\) |
0.608955 | + | 0.793205i | \(0.291589\pi\) | |||||||
\(272\) | 17.7581 | + | 22.2679i | 1.07674 | + | 1.35019i | ||||
\(273\) | −0.179698 | − | 0.0362831i | −0.0108758 | − | 0.00219595i | ||||
\(274\) | −10.7433 | + | 13.4717i | −0.649025 | + | 0.813852i | ||||
\(275\) | 9.40360 | − | 16.2875i | 0.567058 | − | 0.982174i | ||||
\(276\) | −0.0184142 | − | 0.0318943i | −0.00110840 | − | 0.00191981i | ||||
\(277\) | −17.4348 | − | 2.62788i | −1.04756 | − | 0.157894i | −0.397363 | − | 0.917662i | \(-0.630074\pi\) |
−0.650194 | + | 0.759768i | \(0.725313\pi\) | |||||||
\(278\) | 4.20001 | + | 3.89704i | 0.251900 | + | 0.233729i | ||||
\(279\) | 7.44953 | − | 3.58750i | 0.445991 | − | 0.214778i | ||||
\(280\) | 3.60527 | − | 5.58492i | 0.215456 | − | 0.333763i | ||||
\(281\) | −14.6493 | − | 7.05475i | −0.873906 | − | 0.420851i | −0.0575113 | − | 0.998345i | \(-0.518317\pi\) |
−0.816395 | + | 0.577494i | \(0.804031\pi\) | |||||||
\(282\) | 0.292272 | + | 0.744696i | 0.0174045 | + | 0.0443460i | ||||
\(283\) | −1.65455 | − | 22.0785i | −0.0983530 | − | 1.31243i | −0.800041 | − | 0.599946i | \(-0.795189\pi\) |
0.701688 | − | 0.712485i | \(-0.252430\pi\) | |||||||
\(284\) | −1.69675 | + | 0.523377i | −0.100683 | + | 0.0310567i | ||||
\(285\) | 3.20985e−5 | 0 | 0.000428324i | 1.90135e−6 | 0 | 2.53717e-5i | ||||
\(286\) | −1.33855 | − | 5.86458i | −0.0791502 | − | 0.346780i | ||||
\(287\) | 6.87143 | − | 24.4444i | 0.405607 | − | 1.44291i | ||||
\(288\) | 0.540107 | − | 2.36636i | 0.0318261 | − | 0.139439i | ||||
\(289\) | 40.6140 | + | 12.5278i | 2.38906 | + | 0.736927i | ||||
\(290\) | −2.07156 | + | 5.27825i | −0.121646 | + | 0.309949i | ||||
\(291\) | −0.615869 | + | 0.571443i | −0.0361029 | + | 0.0334986i | ||||
\(292\) | 0.840782 | − | 0.573236i | 0.0492031 | − | 0.0335461i | ||||
\(293\) | 19.4423 | 1.13583 | 0.567916 | − | 0.823087i | \(-0.307750\pi\) | ||||
0.567916 | + | 0.823087i | \(0.307750\pi\) | |||||||
\(294\) | −0.620903 | + | 0.226319i | −0.0362118 | + | 0.0131992i | ||||
\(295\) | −2.38366 | −0.138782 | ||||||||
\(296\) | 13.4789 | − | 9.18973i | 0.783443 | − | 0.534142i | ||||
\(297\) | 1.34441 | − | 1.24743i | 0.0780104 | − | 0.0723830i | ||||
\(298\) | −4.56905 | + | 11.6417i | −0.264678 | + | 0.674388i | ||||
\(299\) | −3.53839 | − | 1.09145i | −0.204630 | − | 0.0631201i | ||||
\(300\) | −0.00942787 | + | 0.0413062i | −0.000544319 | + | 0.00238482i | ||||
\(301\) | −7.84492 | + | 8.89355i | −0.452173 | + | 0.512616i | ||||
\(302\) | −1.20024 | − | 5.25861i | −0.0690663 | − | 0.302599i | ||||
\(303\) | −0.0778553 | + | 1.03891i | −0.00447267 | + | 0.0596836i | ||||
\(304\) | −0.0254241 | + | 0.00784229i | −0.00145817 | + | 0.000449786i | ||||
\(305\) | 0.455845 | + | 6.08282i | 0.0261016 | + | 0.348302i | ||||
\(306\) | 11.5010 | + | 29.3039i | 0.657466 | + | 1.67520i | ||||
\(307\) | 16.2183 | + | 7.81030i | 0.925625 | + | 0.445757i | 0.835076 | − | 0.550135i | \(-0.185424\pi\) |
0.0905486 | + | 0.995892i | \(0.471138\pi\) | |||||||
\(308\) | 1.17097 | + | 1.19998i | 0.0667222 | + | 0.0683749i | ||||
\(309\) | 0.245266 | − | 0.118114i | 0.0139527 | − | 0.00671927i | ||||
\(310\) | −2.37195 | − | 2.20085i | −0.134718 | − | 0.125000i | ||||
\(311\) | −15.3961 | − | 2.32058i | −0.873031 | − | 0.131588i | −0.302782 | − | 0.953060i | \(-0.597915\pi\) |
−0.570249 | + | 0.821472i | \(0.693153\pi\) | |||||||
\(312\) | 0.101185 | + | 0.175257i | 0.00572846 | + | 0.00992199i | ||||
\(313\) | −10.0262 | + | 17.3658i | −0.566713 | + | 0.981575i | 0.430176 | + | 0.902745i | \(0.358452\pi\) |
−0.996888 | + | 0.0788297i | \(0.974882\pi\) | |||||||
\(314\) | 19.3002 | − | 24.2017i | 1.08918 | − | 1.36578i | ||||
\(315\) | 5.22130 | − | 4.38327i | 0.294187 | − | 0.246969i | ||||
\(316\) | 1.51747 | + | 1.90285i | 0.0853645 | + | 0.107044i | ||||
\(317\) | −20.3059 | + | 3.06063i | −1.14050 | + | 0.171902i | −0.692010 | − | 0.721888i | \(-0.743275\pi\) |
−0.448485 | + | 0.893790i | \(0.648036\pi\) | |||||||
\(318\) | 0.0269031 | + | 0.0183422i | 0.00150865 | + | 0.00102858i | ||||
\(319\) | −17.6460 | − | 12.0309i | −0.987989 | − | 0.673599i | ||||
\(320\) | −7.22109 | + | 1.08840i | −0.403671 | + | 0.0608436i | ||||
\(321\) | 0.214652 | + | 0.269166i | 0.0119807 | + | 0.0150234i | ||||
\(322\) | −12.9350 | + | 3.29687i | −0.720840 | + | 0.183728i | ||||
\(323\) | −0.0346560 | + | 0.0434573i | −0.00192831 | + | 0.00241803i | ||||
\(324\) | 0.642824 | − | 1.11340i | 0.0357125 | − | 0.0618558i | ||||
\(325\) | 2.12997 | + | 3.68921i | 0.118149 | + | 0.204641i | ||||
\(326\) | −0.731025 | − | 0.110184i | −0.0404877 | − | 0.00610255i | ||||
\(327\) | −0.359153 | − | 0.333246i | −0.0198612 | − | 0.0184285i | ||||
\(328\) | −25.2539 | + | 12.1616i | −1.39441 | + | 0.671515i | ||||
\(329\) | −22.3074 | + | 2.23746i | −1.22985 | + | 0.123355i | ||||
\(330\) | −0.323058 | − | 0.155576i | −0.0177837 | − | 0.00856420i | ||||
\(331\) | 10.9977 | + | 28.0218i | 0.604490 | + | 1.54021i | 0.825179 | + | 0.564871i | \(0.191074\pi\) |
−0.220690 | + | 0.975344i | \(0.570831\pi\) | |||||||
\(332\) | −0.0538045 | − | 0.717971i | −0.00295290 | − | 0.0394038i | ||||
\(333\) | 15.9868 | − | 4.93129i | 0.876073 | − | 0.270233i | ||||
\(334\) | 0.939234 | − | 12.5332i | 0.0513926 | − | 0.685786i | ||||
\(335\) | −3.09050 | − | 13.5404i | −0.168852 | − | 0.739789i | ||||
\(336\) | 0.594537 | + | 0.323588i | 0.0324346 | + | 0.0176531i | ||||
\(337\) | 3.86002 | − | 16.9118i | 0.210268 | − | 0.921246i | −0.754116 | − | 0.656741i | \(-0.771934\pi\) |
0.964384 | − | 0.264505i | \(-0.0852086\pi\) | |||||||
\(338\) | 1.30199 | + | 0.401610i | 0.0708188 | + | 0.0218447i | ||||
\(339\) | −0.144489 | + | 0.368153i | −0.00784759 | + | 0.0199953i | ||||
\(340\) | −0.698241 | + | 0.647873i | −0.0378674 | + | 0.0351359i | ||||
\(341\) | 10.0698 | − | 6.86546i | 0.545309 | − | 0.371785i | ||||
\(342\) | −0.0294070 | −0.00159015 | ||||||||
\(343\) | −1.39696 | − | 18.4675i | −0.0754286 | − | 0.997151i | ||||
\(344\) | 13.0911 | 0.705826 | ||||||||
\(345\) | −0.182370 | + | 0.124338i | −0.00981848 | + | 0.00669413i | ||||
\(346\) | 5.21660 | − | 4.84030i | 0.280446 | − | 0.260216i | ||||
\(347\) | −0.942439 | + | 2.40130i | −0.0505928 | + | 0.128908i | −0.953936 | − | 0.300010i | \(-0.903010\pi\) |
0.903343 | + | 0.428918i | \(0.141105\pi\) | |||||||
\(348\) | 0.0459753 | + | 0.0141815i | 0.00246453 | + | 0.000760208i | ||||
\(349\) | −1.65212 | + | 7.23841i | −0.0884359 | + | 0.387463i | −0.999703 | − | 0.0243518i | \(-0.992248\pi\) |
0.911268 | + | 0.411815i | \(0.135105\pi\) | |||||||
\(350\) | 13.4882 | + | 7.34120i | 0.720975 | + | 0.392404i | ||||
\(351\) | 0.0924369 | + | 0.404993i | 0.00493392 | + | 0.0216169i | ||||
\(352\) | 0.267362 | − | 3.56770i | 0.0142504 | − | 0.190159i | ||||
\(353\) | 6.08292 | − | 1.87633i | 0.323761 | − | 0.0998670i | −0.128614 | − | 0.991695i | \(-0.541053\pi\) |
0.452375 | + | 0.891828i | \(0.350577\pi\) | |||||||
\(354\) | −0.0195487 | − | 0.260860i | −0.00103900 | − | 0.0138645i | ||||
\(355\) | 3.88793 | + | 9.90628i | 0.206350 | + | 0.525771i | ||||
\(356\) | −0.0211109 | − | 0.0101665i | −0.00111888 | − | 0.000538823i | ||||
\(357\) | 1.40706 | − | 0.141130i | 0.0744696 | − | 0.00746937i | ||||
\(358\) | 15.8418 | − | 7.62902i | 0.837267 | − | 0.403206i | ||||
\(359\) | 1.44919 | + | 1.34465i | 0.0764851 | + | 0.0709678i | 0.717489 | − | 0.696570i | \(-0.245291\pi\) |
−0.641004 | + | 0.767538i | \(0.721482\pi\) | |||||||
\(360\) | −7.44144 | − | 1.12162i | −0.392198 | − | 0.0591144i | ||||
\(361\) | 9.49997 | + | 16.4544i | 0.499999 | + | 0.866023i | ||||
\(362\) | 5.30145 | − | 9.18237i | 0.278638 | − | 0.482615i | ||||
\(363\) | 0.366841 | − | 0.460004i | 0.0192542 | − | 0.0241439i | ||||
\(364\) | −0.368002 | + | 0.0937964i | −0.0192886 | + | 0.00491627i | ||||
\(365\) | −3.80254 | − | 4.76823i | −0.199034 | − | 0.249581i | ||||
\(366\) | −0.661946 | + | 0.0997722i | −0.0346005 | + | 0.00521518i | ||||
\(367\) | −24.8685 | − | 16.9551i | −1.29813 | − | 0.885047i | −0.300491 | − | 0.953785i | \(-0.597151\pi\) |
−0.997635 | + | 0.0687374i | \(0.978103\pi\) | |||||||
\(368\) | 11.2966 | + | 7.70188i | 0.588875 | + | 0.401488i | ||||
\(369\) | −28.4245 | + | 4.28430i | −1.47972 | + | 0.223032i | ||||
\(370\) | −4.08207 | − | 5.11876i | −0.212217 | − | 0.266111i | ||||
\(371\) | −0.698877 | + | 0.586706i | −0.0362839 | + | 0.0304602i | ||||
\(372\) | −0.0171184 | + | 0.0214658i | −0.000887547 | + | 0.00111295i | ||||
\(373\) | −1.53893 | + | 2.66550i | −0.0796825 | + | 0.138014i | −0.903113 | − | 0.429403i | \(-0.858724\pi\) |
0.823430 | + | 0.567417i | \(0.192057\pi\) | |||||||
\(374\) | 23.2007 | + | 40.1848i | 1.19968 | + | 2.07790i | ||||
\(375\) | 0.545803 | + | 0.0822666i | 0.0281852 | + | 0.00424823i | ||||
\(376\) | 18.1419 | + | 16.8332i | 0.935598 | + | 0.868108i | ||||
\(377\) | 4.35843 | − | 2.09891i | 0.224471 | − | 0.108099i | ||||
\(378\) | 1.04586 | + | 1.07177i | 0.0537932 | + | 0.0551257i | ||||
\(379\) | −9.36756 | − | 4.51118i | −0.481179 | − | 0.231724i | 0.177539 | − | 0.984114i | \(-0.443187\pi\) |
−0.658718 | + | 0.752390i | \(0.728901\pi\) | |||||||
\(380\) | −0.000325076 | 0 | 0.000828280i | −1.66760e−5 | 0 | 4.24899e-5i | ||||
\(381\) | −0.0384314 | − | 0.512831i | −0.00196890 | − | 0.0262732i | ||||
\(382\) | 12.0990 | − | 3.73205i | 0.619039 | − | 0.190948i | ||||
\(383\) | −2.54447 | + | 33.9535i | −0.130016 | + | 1.73494i | 0.426833 | + | 0.904330i | \(0.359629\pi\) |
−0.556849 | + | 0.830614i | \(0.687990\pi\) | |||||||
\(384\) | −0.153343 | − | 0.671840i | −0.00782526 | − | 0.0342847i | ||||
\(385\) | 6.64725 | − | 7.53580i | 0.338775 | − | 0.384060i | ||||
\(386\) | −4.43423 | + | 19.4276i | −0.225696 | + | 0.988840i | ||||
\(387\) | 12.8290 | + | 3.95721i | 0.652133 | + | 0.201156i | ||||
\(388\) | −0.635843 | + | 1.62010i | −0.0322800 | + | 0.0822482i | ||||
\(389\) | 18.1015 | − | 16.7957i | 0.917781 | − | 0.851576i | −0.0715241 | − | 0.997439i | \(-0.522786\pi\) |
0.989305 | + | 0.145863i | \(0.0465958\pi\) | |||||||
\(390\) | 0.0671050 | − | 0.0457514i | 0.00339799 | − | 0.00231671i | ||||
\(391\) | 28.5633 | 1.44451 | ||||||||
\(392\) | −14.2681 | + | 14.6421i | −0.720649 | + | 0.739536i | ||||
\(393\) | 1.04472 | 0.0526991 | ||||||||
\(394\) | 28.8982 | − | 19.7024i | 1.45587 | − | 0.992594i | ||||
\(395\) | 10.6928 | − | 9.92150i | 0.538015 | − | 0.499205i | ||||
\(396\) | 0.693448 | − | 1.76688i | 0.0348471 | − | 0.0887889i | ||||
\(397\) | −9.65641 | − | 2.97861i | −0.484641 | − | 0.149492i | 0.0427997 | − | 0.999084i | \(-0.486372\pi\) |
−0.527441 | + | 0.849592i | \(0.676848\pi\) | |||||||
\(398\) | 1.50432 | − | 6.59086i | 0.0754048 | − | 0.330370i | ||||
\(399\) | −0.000357483 | 0.00127171i | −1.78965e−5 | 6.36651e-5i | ||||||
\(400\) | −3.50004 | − | 15.3347i | −0.175002 | − | 0.766734i | ||||
\(401\) | −1.84046 | + | 24.5593i | −0.0919083 | + | 1.22643i | 0.740419 | + | 0.672146i | \(0.234627\pi\) |
−0.832327 | + | 0.554285i | \(0.812992\pi\) | |||||||
\(402\) | 1.45647 | − | 0.449260i | 0.0726419 | − | 0.0224071i | ||||
\(403\) | 0.206295 | + | 2.75282i | 0.0102763 | + | 0.137128i | ||||
\(404\) | 0.788476 | + | 2.00900i | 0.0392282 | + | 0.0999517i | ||||
\(405\) | −6.94222 | − | 3.34320i | −0.344962 | − | 0.166125i | ||||
\(406\) | 9.45785 | − | 14.6511i | 0.469385 | − | 0.727123i | ||||
\(407\) | 22.2180 | − | 10.6996i | 1.10130 | − | 0.530360i | ||||
\(408\) | −1.14432 | − | 1.06177i | −0.0566522 | − | 0.0525656i | ||||
\(409\) | 10.2483 | + | 1.54468i | 0.506746 | + | 0.0763797i | 0.397439 | − | 0.917628i | \(-0.369899\pi\) |
0.109307 | + | 0.994008i | \(0.465137\pi\) | |||||||
\(410\) | 5.62462 | + | 9.74212i | 0.277780 | + | 0.481129i | ||||
\(411\) | 0.438133 | − | 0.758868i | 0.0216115 | − | 0.0374322i | ||||
\(412\) | 0.351605 | − | 0.440899i | 0.0173223 | − | 0.0217215i | ||||
\(413\) | 7.18590 | + | 1.45092i | 0.353595 | + | 0.0713949i | ||||
\(414\) | 9.42194 | + | 11.8147i | 0.463063 | + | 0.580662i | ||||
\(415\) | −4.26689 | + | 0.643130i | −0.209453 | + | 0.0315700i | ||||
\(416\) | 0.669559 | + | 0.456498i | 0.0328278 | + | 0.0223816i | ||||
\(417\) | −0.240740 | − | 0.164134i | −0.0117891 | − | 0.00803768i | ||||
\(418\) | −0.0428616 | + | 0.00646035i | −0.00209643 | + | 0.000315986i | ||||
\(419\) | 4.14300 | + | 5.19515i | 0.202399 | + | 0.253800i | 0.872663 | − | 0.488322i | \(-0.162391\pi\) |
−0.670265 | + | 0.742122i | \(0.733819\pi\) | |||||||
\(420\) | −0.00930560 | + | 0.0206362i | −0.000454067 | + | 0.00100694i | ||||
\(421\) | −15.6387 | + | 19.6103i | −0.762183 | + | 0.955747i | −0.999878 | − | 0.0155924i | \(-0.995037\pi\) |
0.237695 | + | 0.971340i | \(0.423608\pi\) | |||||||
\(422\) | −2.45251 | + | 4.24787i | −0.119386 | + | 0.206783i | ||||
\(423\) | 12.6902 | + | 21.9801i | 0.617021 | + | 1.06871i | ||||
\(424\) | 0.996046 | + | 0.150130i | 0.0483722 | + | 0.00729094i | ||||
\(425\) | −24.0882 | − | 22.3506i | −1.16845 | − | 1.08416i | ||||
\(426\) | −1.05222 | + | 0.506725i | −0.0509805 | + | 0.0245509i | ||||
\(427\) | 2.32835 | − | 18.6151i | 0.112677 | − | 0.900846i | ||||
\(428\) | 0.642561 | + | 0.309441i | 0.0310593 | + | 0.0149574i | ||||
\(429\) | 0.111761 | + | 0.284763i | 0.00539588 | + | 0.0137485i | ||||
\(430\) | −0.392623 | − | 5.23919i | −0.0189340 | − | 0.252656i | ||||
\(431\) | −2.24799 | + | 0.693415i | −0.108282 | + | 0.0334006i | −0.348423 | − | 0.937338i | \(-0.613283\pi\) |
0.240141 | + | 0.970738i | \(0.422806\pi\) | |||||||
\(432\) | 0.114622 | − | 1.52953i | 0.00551477 | − | 0.0735895i | ||||
\(433\) | 5.63168 | + | 24.6740i | 0.270641 | + | 1.18576i | 0.909258 | + | 0.416233i | \(0.136650\pi\) |
−0.638617 | + | 0.769525i | \(0.720493\pi\) | |||||||
\(434\) | 5.81097 | + | 8.07858i | 0.278935 | + | 0.387784i | ||||
\(435\) | 0.0641649 | − | 0.281125i | 0.00307647 | − | 0.0134789i | ||||
\(436\) | −0.969855 | − | 0.299161i | −0.0464476 | − | 0.0143272i | ||||
\(437\) | −0.00974817 | + | 0.0248379i | −0.000466318 | + | 0.00118816i | ||||
\(438\) | 0.490634 | − | 0.455242i | 0.0234434 | − | 0.0217523i | ||||
\(439\) | 4.30256 | − | 2.93344i | 0.205350 | − | 0.140005i | −0.456279 | − | 0.889837i | \(-0.650818\pi\) |
0.661629 | + | 0.749832i | \(0.269866\pi\) | |||||||
\(440\) | −11.0925 | −0.528816 | ||||||||
\(441\) | −18.4085 | + | 10.0359i | −0.876593 | + | 0.477898i | ||||
\(442\) | −10.5102 | −0.499918 | ||||||||
\(443\) | −20.7672 | + | 14.1588i | −0.986678 | + | 0.672705i | −0.945220 | − | 0.326435i | \(-0.894153\pi\) |
−0.0414580 | + | 0.999140i | \(0.513200\pi\) | |||||||
\(444\) | −0.0407238 | + | 0.0377861i | −0.00193266 | + | 0.00179325i | ||||
\(445\) | −0.0513053 | + | 0.130724i | −0.00243211 | + | 0.00619691i | ||||
\(446\) | −2.30883 | − | 0.712180i | −0.109326 | − | 0.0337227i | ||||
\(447\) | 0.141523 | − | 0.620051i | 0.00669379 | − | 0.0293274i | ||||
\(448\) | 22.4316 | + | 1.11426i | 1.05979 | + | 0.0526439i | ||||
\(449\) | −4.12002 | − | 18.0510i | −0.194436 | − | 0.851878i | −0.974179 | − | 0.225778i | \(-0.927507\pi\) |
0.779743 | − | 0.626100i | \(-0.215350\pi\) | |||||||
\(450\) | 1.29917 | − | 17.3363i | 0.0612436 | − | 0.817239i | ||||
\(451\) | −40.4883 | + | 12.4890i | −1.90652 | + | 0.588084i | ||||
\(452\) | 0.0612253 | + | 0.816995i | 0.00287979 | + | 0.0384282i | ||||
\(453\) | 0.100213 | + | 0.255339i | 0.00470843 | + | 0.0119969i | ||||
\(454\) | −28.0831 | − | 13.5241i | −1.31801 | − | 0.634718i | ||||
\(455\) | 0.725399 | + | 2.15737i | 0.0340072 | + | 0.101139i | ||||
\(456\) | 0.00131383 | 0.000632705i | 6.15255e−5 | 2.96291e-5i | ||||||
\(457\) | −21.4649 | − | 19.9165i | −1.00408 | − | 0.931654i | −0.00642072 | − | 0.999979i | \(-0.502044\pi\) |
−0.997663 | + | 0.0683258i | \(0.978234\pi\) | |||||||
\(458\) | −27.4954 | − | 4.14426i | −1.28477 | − | 0.193649i | ||||
\(459\) | −1.60218 | − | 2.77506i | −0.0747834 | − | 0.129529i | ||||
\(460\) | −0.228621 | + | 0.395983i | −0.0106595 | + | 0.0184628i | ||||
\(461\) | −14.0844 | + | 17.6612i | −0.655974 | + | 0.822565i | −0.992898 | − | 0.118966i | \(-0.962042\pi\) |
0.336924 | + | 0.941532i | \(0.390613\pi\) | |||||||
\(462\) | 0.879208 | + | 0.665651i | 0.0409044 | + | 0.0309689i | ||||
\(463\) | −10.5261 | − | 13.1993i | −0.489190 | − | 0.613425i | 0.474563 | − | 0.880222i | \(-0.342606\pi\) |
−0.963753 | + | 0.266797i | \(0.914035\pi\) | |||||||
\(464\) | −17.6621 | + | 2.66213i | −0.819942 | + | 0.123586i | ||||
\(465\) | 0.135958 | + | 0.0926947i | 0.00630491 | + | 0.00429861i | ||||
\(466\) | 12.3060 | + | 8.39011i | 0.570066 | + | 0.388664i | ||||
\(467\) | −9.60465 | + | 1.44767i | −0.444450 | + | 0.0669901i | −0.367455 | − | 0.930041i | \(-0.619771\pi\) |
−0.0769953 | + | 0.997031i | \(0.524533\pi\) | |||||||
\(468\) | 0.268055 | + | 0.336130i | 0.0123908 | + | 0.0155376i | ||||
\(469\) | 1.07486 | + | 42.7006i | 0.0496326 | + | 1.97173i | ||||
\(470\) | 6.19272 | − | 7.76543i | 0.285649 | − | 0.358193i | ||||
\(471\) | −0.787103 | + | 1.36330i | −0.0362678 | + | 0.0628177i | ||||
\(472\) | −4.04626 | − | 7.00832i | −0.186244 | − | 0.322584i | ||||
\(473\) | 19.5680 | + | 2.94939i | 0.899735 | + | 0.135613i | ||||
\(474\) | 1.17347 | + | 1.08882i | 0.0538992 | + | 0.0500112i | ||||
\(475\) | 0.0276564 | − | 0.0133186i | 0.00126896 | − | 0.000611099i | ||||
\(476\) | 2.49931 | − | 1.52810i | 0.114556 | − | 0.0700402i | ||||
\(477\) | 0.930719 | + | 0.448210i | 0.0426147 | + | 0.0205221i | ||||
\(478\) | 3.95763 | + | 10.0839i | 0.181018 | + | 0.461226i | ||||
\(479\) | −1.94530 | − | 25.9582i | −0.0888828 | − | 1.18606i | −0.846147 | − | 0.532950i | \(-0.821083\pi\) |
0.757264 | − | 0.653109i | \(-0.226536\pi\) | |||||||
\(480\) | 0.0461587 | − | 0.0142381i | 0.00210685 | − | 0.000649876i | ||||
\(481\) | −0.417416 | + | 5.57002i | −0.0190325 | + | 0.253971i | ||||
\(482\) | −4.26664 | − | 18.6934i | −0.194340 | − | 0.851460i | ||||
\(483\) | 0.625466 | − | 0.263828i | 0.0284597 | − | 0.0120046i | ||||
\(484\) | 0.271217 | − | 1.18828i | 0.0123281 | − | 0.0540127i | ||||
\(485\) | 9.96739 | + | 3.07453i | 0.452596 | + | 0.139607i | ||||
\(486\) | 0.929285 | − | 2.36778i | 0.0421532 | − | 0.107405i | ||||
\(487\) | −14.0455 | + | 13.0323i | −0.636464 | + | 0.590552i | −0.930969 | − | 0.365098i | \(-0.881036\pi\) |
0.294505 | + | 0.955650i | \(0.404845\pi\) | |||||||
\(488\) | −17.1106 | + | 11.6658i | −0.774562 | + | 0.528087i | ||||
\(489\) | 0.0375957 | 0.00170014 | ||||||||
\(490\) | 6.28782 | + | 5.27111i | 0.284055 | + | 0.238124i | ||||
\(491\) | −10.1787 | −0.459358 | −0.229679 | − | 0.973266i | \(-0.573768\pi\) | ||||
−0.229679 | + | 0.973266i | \(0.573768\pi\) | |||||||
\(492\) | 0.0788661 | − | 0.0537700i | 0.00355556 | − | 0.00242414i | ||||
\(493\) | −27.3541 | + | 25.3809i | −1.23197 | + | 1.14310i | ||||
\(494\) | 0.00358694 | − | 0.00913937i | 0.000161384 | − | 0.000411200i | ||||
\(495\) | −10.8704 | − | 3.35308i | −0.488588 | − | 0.150710i | ||||
\(496\) | 2.26811 | − | 9.93722i | 0.101841 | − | 0.446194i | ||||
\(497\) | −5.69087 | − | 32.2305i | −0.255270 | − | 1.44574i | ||||
\(498\) | −0.105375 | − | 0.461679i | −0.00472198 | − | 0.0206884i | ||||
\(499\) | 0.478948 | − | 6.39111i | 0.0214406 | − | 0.286106i | −0.976169 | − | 0.217010i | \(-0.930370\pi\) |
0.997610 | − | 0.0690956i | \(-0.0220113\pi\) | |||||||
\(500\) | 1.09264 | − | 0.337034i | 0.0488642 | − | 0.0150726i | ||||
\(501\) | 0.0477641 | + | 0.637368i | 0.00213394 | + | 0.0284755i | ||||
\(502\) | −8.25588 | − | 21.0356i | −0.368478 | − | 0.938867i | ||||
\(503\) | 37.1804 | + | 17.9051i | 1.65779 | + | 0.798351i | 0.998938 | + | 0.0460812i | \(0.0146733\pi\) |
0.658855 | + | 0.752270i | \(0.271041\pi\) | |||||||
\(504\) | 21.7506 | + | 7.91083i | 0.968850 | + | 0.352376i | ||||
\(505\) | 11.6538 | − | 5.61216i | 0.518586 | − | 0.249738i | ||||
\(506\) | 16.3283 | + | 15.1504i | 0.725881 | + | 0.673519i | ||||
\(507\) | −0.0685162 | − | 0.0103272i | −0.00304291 | − | 0.000458645i | ||||
\(508\) | −0.532670 | − | 0.922612i | −0.0236334 | − | 0.0409343i | ||||
\(509\) | −2.03336 | + | 3.52189i | −0.0901272 | + | 0.156105i | −0.907565 | − | 0.419913i | \(-0.862061\pi\) |
0.817437 | + | 0.576018i | \(0.195394\pi\) | |||||||
\(510\) | −0.390612 | + | 0.489812i | −0.0172966 | + | 0.0216892i | ||||
\(511\) | 8.56094 | + | 16.6891i | 0.378714 | + | 0.738283i | ||||
\(512\) | −15.3128 | − | 19.2016i | −0.676737 | − | 0.848601i | ||||
\(513\) | 0.00295991 | 0.000446135i | 0.000130683 | 1.96974e-5i | ||||||
\(514\) | 15.6353 | + | 10.6599i | 0.689642 | + | 0.470190i | ||||
\(515\) | −2.79253 | − | 1.90391i | −0.123053 | − | 0.0838964i | ||||
\(516\) | −0.0440823 | + | 0.00664434i | −0.00194062 | + | 0.000292501i | ||||
\(517\) | 23.3252 | + | 29.2488i | 1.02584 | + | 1.28636i | ||||
\(518\) | 9.19027 | + | 17.9160i | 0.403797 | + | 0.787183i | ||||
\(519\) | −0.225637 | + | 0.282940i | −0.00990437 | + | 0.0124197i | ||||
\(520\) | 1.25626 | − | 2.17591i | 0.0550906 | − | 0.0954198i | ||||
\(521\) | 12.2968 | + | 21.2987i | 0.538733 | + | 0.933113i | 0.998973 | + | 0.0453184i | \(0.0144302\pi\) |
−0.460239 | + | 0.887795i | \(0.652236\pi\) | |||||||
\(522\) | −19.5214 | − | 2.94238i | −0.854429 | − | 0.128784i | ||||
\(523\) | 3.89725 | + | 3.61612i | 0.170415 | + | 0.158122i | 0.760770 | − | 0.649022i | \(-0.224822\pi\) |
−0.590355 | + | 0.807144i | \(0.701012\pi\) | |||||||
\(524\) | 1.94988 | − | 0.939011i | 0.0851807 | − | 0.0410209i | ||||
\(525\) | −0.733915 | − | 0.266929i | −0.0320307 | − | 0.0116497i | ||||
\(526\) | 9.92845 | + | 4.78129i | 0.432901 | + | 0.208474i | ||||
\(527\) | −7.77962 | − | 19.8221i | −0.338886 | − | 0.863466i | ||||
\(528\) | −0.0844087 | − | 1.12636i | −0.00367342 | − | 0.0490183i | ||||
\(529\) | −8.87586 | + | 2.73784i | −0.385907 | + | 0.119037i | ||||
\(530\) | 0.0302104 | − | 0.403130i | 0.00131226 | − | 0.0175108i | ||||
\(531\) | −1.84674 | − | 8.09110i | −0.0801417 | − | 0.351124i | ||||
\(532\) | 0.000475823 | 0.00269485i | 2.06295e−5 | 0.000116836i | ||||||
\(533\) | 2.13558 | − | 9.35658i | 0.0925022 | − | 0.405279i | ||||
\(534\) | −0.0147267 | − | 0.00454260i | −0.000637289 | − | 0.000196578i | ||||
\(535\) | 1.56160 | − | 3.97888i | 0.0675137 | − | 0.172022i | ||||
\(536\) | 34.5646 | − | 32.0713i | 1.49296 | − | 1.38527i | ||||
\(537\) | −0.738804 | + | 0.503708i | −0.0318817 | + | 0.0217366i | ||||
\(538\) | 21.7183 | 0.936343 | ||||||||
\(539\) | −24.6261 | + | 18.6717i | −1.06072 | + | 0.804245i | ||||
\(540\) | 0.0512954 | 0.00220740 | ||||||||
\(541\) | 21.7958 | − | 14.8601i | 0.937076 | − | 0.638887i | 0.00454959 | − | 0.999990i | \(-0.498552\pi\) |
0.932526 | + | 0.361102i | \(0.117599\pi\) | |||||||
\(542\) | 15.9139 | − | 14.7659i | 0.683560 | − | 0.634251i | ||||
\(543\) | −0.196993 | + | 0.501930i | −0.00845378 | + | 0.0215399i | ||||
\(544\) | −5.97329 | − | 1.84252i | −0.256103 | − | 0.0789973i | ||||
\(545\) | −1.35357 | + | 5.93037i | −0.0579805 | + | 0.254029i | ||||
\(546\) | −0.230147 | + | 0.0970782i | −0.00984936 | + | 0.00415456i | ||||
\(547\) | 3.46260 | + | 15.1706i | 0.148050 | + | 0.648650i | 0.993426 | + | 0.114478i | \(0.0365194\pi\) |
−0.845376 | + | 0.534172i | \(0.820623\pi\) | |||||||
\(548\) | 0.135653 | − | 1.81016i | 0.00579481 | − | 0.0773263i | ||||
\(549\) | −20.2944 | + | 6.25999i | −0.866143 | + | 0.267170i | ||||
\(550\) | −1.91497 | − | 25.5535i | −0.0816547 | − | 1.08961i | ||||
\(551\) | −0.0127351 | − | 0.0324484i | −0.000542532 | − | 0.00138235i | ||||
\(552\) | −0.675145 | − | 0.325133i | −0.0287361 | − | 0.0138386i | ||||
\(553\) | −38.2743 | + | 23.4012i | −1.62759 | + | 0.995120i | ||||
\(554\) | −21.6445 | + | 10.4235i | −0.919588 | + | 0.442850i | ||||
\(555\) | 0.244070 | + | 0.226464i | 0.0103602 | + | 0.00961285i | ||||
\(556\) | −0.596847 | − | 0.0899603i | −0.0253120 | − | 0.00381517i | ||||
\(557\) | −19.8294 | − | 34.3456i | −0.840200 | − | 1.45527i | −0.889726 | − | 0.456495i | \(-0.849104\pi\) |
0.0495262 | − | 0.998773i | \(-0.484229\pi\) | |||||||
\(558\) | 5.63290 | − | 9.75646i | 0.238460 | − | 0.413024i | ||||
\(559\) | −2.79468 | + | 3.50441i | −0.118202 | + | 0.148221i | ||||
\(560\) | −0.211478 | − | 8.40129i | −0.00893657 | − | 0.355019i | ||||
\(561\) | −1.47126 | − | 1.84490i | −0.0621165 | − | 0.0778916i | ||||
\(562\) | −21.9065 | + | 3.30188i | −0.924070 | + | 0.139281i | ||||
\(563\) | 36.6116 | + | 24.9613i | 1.54299 | + | 1.05200i | 0.973130 | + | 0.230256i | \(0.0739563\pi\) |
0.569864 | + | 0.821739i | \(0.306996\pi\) | |||||||
\(564\) | −0.0696338 | − | 0.0474755i | −0.00293211 | − | 0.00199908i | ||||
\(565\) | 4.85538 | − | 0.731831i | 0.204267 | − | 0.0307884i | ||||
\(566\) | −18.8087 | − | 23.5853i | −0.790587 | − | 0.991364i | ||||
\(567\) | 18.8934 | + | 14.3042i | 0.793448 | + | 0.600722i | ||||
\(568\) | −22.5262 | + | 28.2470i | −0.945179 | + | 1.18522i | ||||
\(569\) | −10.0903 | + | 17.4770i | −0.423009 | + | 0.732673i | −0.996232 | − | 0.0867261i | \(-0.972360\pi\) |
0.573223 | + | 0.819399i | \(0.305693\pi\) | |||||||
\(570\) | −0.000292618 | 0 | 0.000506830i | −1.22564e−5 | 0 | 2.12288e-5i | ||||
\(571\) | −41.7536 | − | 6.29335i | −1.74734 | − | 0.263368i | −0.803862 | − | 0.594816i | \(-0.797225\pi\) |
−0.943474 | + | 0.331448i | \(0.892463\pi\) | |||||||
\(572\) | 0.464542 | + | 0.431032i | 0.0194235 | + | 0.0180223i | ||||
\(573\) | −0.580128 | + | 0.279375i | −0.0242352 | + | 0.0116710i | ||||
\(574\) | −11.0263 | − | 32.7927i | −0.460229 | − | 1.36874i | ||||
\(575\) | −14.2120 | − | 6.84413i | −0.592681 | − | 0.285420i | ||||
\(576\) | −9.28901 | − | 23.6680i | −0.387042 | − | 0.986167i | ||||
\(577\) | −1.92231 | − | 25.6514i | −0.0800267 | − | 1.06788i | −0.882226 | − | 0.470826i | \(-0.843956\pi\) |
0.802199 | − | 0.597056i | \(-0.203663\pi\) | |||||||
\(578\) | 55.3374 | − | 17.0693i | 2.30173 | − | 0.709990i | ||||
\(579\) | 0.0757305 | − | 1.01055i | 0.00314725 | − | 0.0419972i | ||||
\(580\) | −0.132922 | − | 0.582368i | −0.00551927 | − | 0.0241815i | ||||
\(581\) | 13.2546 | + | 0.658409i | 0.549895 | + | 0.0273154i | ||||
\(582\) | −0.254723 | + | 1.11601i | −0.0105586 | + | 0.0462602i | ||||
\(583\) | 1.45502 | + | 0.448813i | 0.0602606 | + | 0.0185879i | ||||
\(584\) | 7.56453 | − | 19.2741i | 0.313022 | − | 0.797568i | ||||
\(585\) | 1.88884 | − | 1.75259i | 0.0780940 | − | 0.0724606i | ||||
\(586\) | 21.8875 | − | 14.9226i | 0.904165 | − | 0.616449i | ||||
\(587\) | −26.4750 | −1.09274 | −0.546370 | − | 0.837544i | \(-0.683991\pi\) | ||||
−0.546370 | + | 0.837544i | \(0.683991\pi\) | |||||||
\(588\) | 0.0406142 | − | 0.0565466i | 0.00167490 | − | 0.00233194i | ||||
\(589\) | 0.0198919 | 0.000819630 | ||||||||
\(590\) | −2.68345 | + | 1.82954i | −0.110476 | + | 0.0753211i | ||||
\(591\) | −1.30385 | + | 1.20980i | −0.0536332 | + | 0.0497644i | ||||
\(592\) | 7.53479 | − | 19.1983i | 0.309678 | − | 0.789046i | ||||
\(593\) | −39.0655 | − | 12.0501i | −1.60423 | − | 0.494838i | −0.641912 | − | 0.766778i | \(-0.721859\pi\) |
−0.962314 | + | 0.271939i | \(0.912335\pi\) | |||||||
\(594\) | 0.556045 | − | 2.43619i | 0.0228148 | − | 0.0999581i | ||||
\(595\) | −10.2521 | − | 14.2528i | −0.420296 | − | 0.584309i | ||||
\(596\) | −0.293173 | − | 1.28447i | −0.0120088 | − | 0.0526141i | ||||
\(597\) | −0.0256917 | + | 0.342832i | −0.00105149 | + | 0.0140312i | ||||
\(598\) | −4.82113 | + | 1.48712i | −0.197151 | + | 0.0608129i | ||||
\(599\) | 1.34189 | + | 17.9063i | 0.0548282 | + | 0.731631i | 0.955096 | + | 0.296295i | \(0.0957512\pi\) |
−0.900268 | + | 0.435336i | \(0.856630\pi\) | |||||||
\(600\) | 0.314954 | + | 0.802489i | 0.0128579 | + | 0.0327615i | ||||
\(601\) | −13.7429 | − | 6.61823i | −0.560584 | − | 0.269963i | 0.132061 | − | 0.991242i | \(-0.457841\pi\) |
−0.692645 | + | 0.721278i | \(0.743555\pi\) | |||||||
\(602\) | −2.00543 | + | 16.0333i | −0.0817354 | + | 0.653469i | ||||
\(603\) | 43.5670 | − | 20.9808i | 1.77419 | − | 0.854403i | ||||
\(604\) | 0.416543 | + | 0.386495i | 0.0169489 | + | 0.0157263i | ||||
\(605\) | −7.22328 | − | 1.08873i | −0.293668 | − | 0.0442633i | ||||
\(606\) | 0.709750 | + | 1.22932i | 0.0288316 | + | 0.0499378i | ||||
\(607\) | 4.60911 | − | 7.98321i | 0.187078 | − | 0.324028i | −0.757197 | − | 0.653187i | \(-0.773432\pi\) |
0.944275 | + | 0.329158i | \(0.106765\pi\) | |||||||
\(608\) | 0.00364078 | − | 0.00456540i | 0.000147653 | − | 0.000185151i | ||||
\(609\) | −0.364553 | + | 0.808437i | −0.0147724 | + | 0.0327595i | ||||
\(610\) | 5.18196 | + | 6.49797i | 0.209811 | + | 0.263095i | ||||
\(611\) | −8.37908 | + | 1.26294i | −0.338981 | + | 0.0510932i | ||||
\(612\) | −2.74010 | − | 1.86817i | −0.110762 | − | 0.0755163i | ||||
\(613\) | 29.4438 | + | 20.0744i | 1.18922 | + | 0.810799i | 0.985739 | − | 0.168279i | \(-0.0538209\pi\) |
0.203485 | + | 0.979078i | \(0.434773\pi\) | |||||||
\(614\) | 24.2527 | − | 3.65550i | 0.978757 | − | 0.147524i | ||||
\(615\) | −0.356681 | − | 0.447264i | −0.0143828 | − | 0.0180354i | ||||
\(616\) | 33.4401 | + | 6.75193i | 1.34734 | + | 0.272043i | ||||
\(617\) | 4.94382 | − | 6.19935i | 0.199031 | − | 0.249576i | −0.672293 | − | 0.740285i | \(-0.734691\pi\) |
0.871324 | + | 0.490709i | \(0.163262\pi\) | |||||||
\(618\) | 0.185456 | − | 0.321219i | 0.00746013 | − | 0.0129213i | ||||
\(619\) | −18.0458 | − | 31.2562i | −0.725322 | − | 1.25629i | −0.958841 | − | 0.283942i | \(-0.908358\pi\) |
0.233519 | − | 0.972352i | \(-0.424976\pi\) | |||||||
\(620\) | 0.337069 | + | 0.0508050i | 0.0135370 | + | 0.00204038i | ||||
\(621\) | −1.12759 | − | 1.04625i | −0.0452487 | − | 0.0419846i | ||||
\(622\) | −19.1135 | + | 9.20458i | −0.766382 | + | 0.369070i | ||||
\(623\) | 0.234238 | − | 0.362858i | 0.00938456 | − | 0.0145376i | ||||
\(624\) | 0.230505 | + | 0.111005i | 0.00922758 | + | 0.00444377i | ||||
\(625\) | 5.27798 | + | 13.4481i | 0.211119 | + | 0.537923i | ||||
\(626\) | 2.04175 | + | 27.2453i | 0.0816049 | + | 1.08894i | ||||
\(627\) | 0.00210639 | 0.000649735i | 8.41210e−5 | 2.59479e-5i | ||||||
\(628\) | −0.243700 | + | 3.25195i | −0.00972468 | + | 0.129767i | ||||
\(629\) | −9.58762 | − | 42.0061i | −0.382283 | − | 1.67489i | ||||
\(630\) | 2.51366 | − | 8.94207i | 0.100146 | − | 0.356261i | ||||
\(631\) | 4.05523 | − | 17.7671i | 0.161436 | − | 0.707298i | −0.827806 | − | 0.561014i | \(-0.810411\pi\) |
0.989243 | − | 0.146284i | \(-0.0467314\pi\) | |||||||
\(632\) | 47.3218 | + | 14.5968i | 1.88236 | + | 0.580631i | ||||
\(633\) | 0.0911311 | − | 0.232198i | 0.00362214 | − | 0.00922905i | ||||
\(634\) | −20.5106 | + | 19.0311i | −0.814581 | + | 0.755820i | ||||
\(635\) | −5.27546 | + | 3.59675i | −0.209350 | + | 0.142733i | ||||
\(636\) | −0.00343023 | −0.000136017 | ||||||||
\(637\) | −0.873649 | − | 6.94527i | −0.0346152 | − | 0.275182i | ||||
\(638\) | −29.0994 | −1.15206 | ||||||||
\(639\) | −30.6137 | + | 20.8721i | −1.21106 | + | 0.825686i | ||||
\(640\) | −6.27180 | + | 5.81938i | −0.247915 | + | 0.230031i | ||||
\(641\) | 6.16512 | − | 15.7085i | 0.243508 | − | 0.620447i | −0.755906 | − | 0.654680i | \(-0.772803\pi\) |
0.999414 | + | 0.0342325i | \(0.0108987\pi\) | |||||||
\(642\) | 0.448243 | + | 0.138265i | 0.0176907 | + | 0.00545687i | ||||
\(643\) | 4.98246 | − | 21.8296i | 0.196489 | − | 0.860875i | −0.776517 | − | 0.630096i | \(-0.783016\pi\) |
0.973006 | − | 0.230779i | \(-0.0741273\pi\) | |||||||
\(644\) | 0.930244 | − | 1.05459i | 0.0366568 | − | 0.0415567i | ||||
\(645\) | 0.0594538 | + | 0.260484i | 0.00234099 | + | 0.0102565i | ||||
\(646\) | −0.00565962 | + | 0.0755224i | −0.000222675 | + | 0.00297139i | ||||
\(647\) | −38.5157 | + | 11.8805i | −1.51421 | + | 0.467072i | −0.936942 | − | 0.349484i | \(-0.886357\pi\) |
−0.577267 | + | 0.816556i | \(0.695881\pi\) | |||||||
\(648\) | −1.95489 | − | 26.0863i | −0.0767955 | − | 1.02476i | ||||
\(649\) | −4.46919 | − | 11.3873i | −0.175431 | − | 0.446991i | ||||
\(650\) | 5.22945 | + | 2.51837i | 0.205116 | + | 0.0987785i | ||||
\(651\) | −0.353444 | − | 0.362199i | −0.0138525 | − | 0.0141957i | ||||
\(652\) | 0.0701691 | − | 0.0337917i | 0.00274804 | − | 0.00132338i | ||||
\(653\) | 6.56810 | + | 6.09430i | 0.257030 | + | 0.238489i | 0.798153 | − | 0.602454i | \(-0.205810\pi\) |
−0.541124 | + | 0.840943i | \(0.682001\pi\) | |||||||
\(654\) | −0.660101 | − | 0.0994942i | −0.0258120 | − | 0.00389053i | ||||
\(655\) | −6.48535 | − | 11.2330i | −0.253404 | − | 0.438908i | ||||
\(656\) | −17.7180 | + | 30.6884i | −0.691771 | + | 1.19818i | ||||
\(657\) | 13.2393 | − | 16.6015i | 0.516513 | − | 0.647687i | ||||
\(658\) | −23.3956 | + | 19.6406i | −0.912057 | + | 0.765670i | ||||
\(659\) | −0.640024 | − | 0.802565i | −0.0249318 | − | 0.0312635i | 0.769209 | − | 0.638997i | \(-0.220650\pi\) |
−0.794141 | + | 0.607733i | \(0.792079\pi\) | |||||||
\(660\) | 0.0373524 | − | 0.00562997i | 0.00145394 | − | 0.000219146i | ||||
\(661\) | −31.9930 | − | 21.8125i | −1.24438 | − | 0.848407i | −0.251543 | − | 0.967846i | \(-0.580938\pi\) |
−0.992841 | + | 0.119440i | \(0.961890\pi\) | |||||||
\(662\) | 33.8886 | + | 23.1048i | 1.31712 | + | 0.897995i | ||||
\(663\) | 0.528518 | − | 0.0796613i | 0.0205259 | − | 0.00309379i | ||||
\(664\) | −9.13393 | − | 11.4536i | −0.354465 | − | 0.444485i | ||||
\(665\) | 0.0158928 | − | 0.00405074i | 0.000616295 | − | 0.000157081i | ||||
\(666\) | 14.2125 | − | 17.8219i | 0.550724 | − | 0.690586i | ||||
\(667\) | −8.95639 | + | 15.5129i | −0.346793 | + | 0.600663i | ||||
\(668\) | 0.662025 | + | 1.14666i | 0.0256145 | + | 0.0443656i | ||||
\(669\) | 0.121501 | + | 0.0183133i | 0.00469748 | + | 0.000708032i | ||||
\(670\) | −13.8719 | − | 12.8712i | −0.535918 | − | 0.497259i | ||||
\(671\) | −28.2044 | + | 13.5825i | −1.08882 | + | 0.524348i | ||||
\(672\) | −0.147819 | + | 0.0148264i | −0.00570224 | + | 0.000571939i | ||||
\(673\) | 1.99528 | + | 0.960875i | 0.0769123 | + | 0.0370390i | 0.471944 | − | 0.881628i | \(-0.343552\pi\) |
−0.395032 | + | 0.918667i | \(0.629267\pi\) | |||||||
\(674\) | −8.63495 | − | 22.0015i | −0.332606 | − | 0.847466i | ||||
\(675\) | 0.132243 | + | 1.76466i | 0.00509004 | + | 0.0679219i | ||||
\(676\) | −0.137162 | + | 0.0423088i | −0.00527545 | + | 0.00162726i | ||||
\(677\) | 3.13931 | − | 41.8912i | 0.120654 | − | 1.61001i | −0.528216 | − | 0.849110i | \(-0.677139\pi\) |
0.648870 | − | 0.760899i | \(-0.275242\pi\) | |||||||
\(678\) | 0.119909 | + | 0.525355i | 0.00460507 | + | 0.0201761i | ||||
\(679\) | −28.1768 | − | 15.3357i | −1.08132 | − | 0.588531i | ||||
\(680\) | −4.31268 | + | 18.8951i | −0.165384 | + | 0.724593i | ||||
\(681\) | 1.51470 | + | 0.467224i | 0.0580435 | + | 0.0179041i | ||||
\(682\) | 6.06674 | − | 15.4578i | 0.232308 | − | 0.591910i | ||||
\(683\) | −2.04720 | + | 1.89952i | −0.0783337 | + | 0.0726831i | −0.718368 | − | 0.695663i | \(-0.755111\pi\) |
0.640034 | + | 0.768346i | \(0.278920\pi\) | |||||||
\(684\) | 0.00255966 | − | 0.00174515i | 9.78711e−5 | − | 6.67274e-5i | ||||
\(685\) | −10.8793 | −0.415676 | ||||||||
\(686\) | −15.7471 | − | 19.7179i | −0.601227 | − | 0.752832i | ||||
\(687\) | 1.41405 | 0.0539495 | ||||||||
\(688\) | 13.6744 | − | 9.32302i | 0.521330 | − | 0.355437i | ||||
\(689\) | −0.252824 | + | 0.234586i | −0.00963181 | + | 0.00893702i | ||||
\(690\) | −0.109873 | + | 0.279951i | −0.00418278 | + | 0.0106576i | ||||
\(691\) | 5.00965 | + | 1.54527i | 0.190576 | + | 0.0587849i | 0.388574 | − | 0.921417i | \(-0.372968\pi\) |
−0.197998 | + | 0.980202i | \(0.563444\pi\) | |||||||
\(692\) | −0.166821 | + | 0.730889i | −0.00634157 | + | 0.0277842i | ||||
\(693\) | 30.7295 | + | 16.7251i | 1.16732 | + | 0.635333i | ||||
\(694\) | 0.782111 | + | 3.42665i | 0.0296885 | + | 0.130074i | ||||
\(695\) | −0.270336 | + | 3.60738i | −0.0102544 | + | 0.136836i | ||||
\(696\) | 0.935470 | − | 0.288554i | 0.0354589 | − | 0.0109376i | ||||
\(697\) | 5.53232 | + | 73.8236i | 0.209551 | + | 2.79627i | ||||
\(698\) | 3.69583 | + | 9.41682i | 0.139889 | + | 0.356432i | ||||
\(699\) | −0.682418 | − | 0.328635i | −0.0258114 | − | 0.0124301i | ||||
\(700\) | −1.60971 | + | 0.161455i | −0.0608413 | + | 0.00610243i | ||||
\(701\) | −16.1341 | + | 7.76979i | −0.609378 | + | 0.293461i | −0.713009 | − | 0.701155i | \(-0.752668\pi\) |
0.103631 | + | 0.994616i | \(0.466954\pi\) | |||||||
\(702\) | 0.414909 | + | 0.384979i | 0.0156597 | + | 0.0145301i | ||||
\(703\) | 0.0397995 | + | 0.00599881i | 0.00150107 | + | 0.000226249i | ||||
\(704\) | −18.7386 | − | 32.4562i | −0.706237 | − | 1.22324i | ||||
\(705\) | −0.252552 | + | 0.437433i | −0.00951165 | + | 0.0164747i | ||||
\(706\) | 5.40780 | − | 6.78116i | 0.203525 | − | 0.255212i | ||||
\(707\) | −38.5481 | + | 9.82513i | −1.44975 | + | 0.369512i | ||||
\(708\) | 0.0171822 | + | 0.0215458i | 0.000645746 | + | 0.000809740i | ||||
\(709\) | −47.4188 | + | 7.14723i | −1.78085 | + | 0.268420i | −0.955242 | − | 0.295824i | \(-0.904406\pi\) |
−0.825608 | + | 0.564244i | \(0.809168\pi\) | |||||||
\(710\) | 11.9803 | + | 8.16804i | 0.449613 | + | 0.306541i | ||||
\(711\) | 41.9618 | + | 28.6091i | 1.57369 | + | 1.07292i | ||||
\(712\) | −0.471439 | + | 0.0710580i | −0.0176679 | + | 0.00266301i | ||||
\(713\) | −6.37331 | − | 7.99187i | −0.238682 | − | 0.299298i | ||||
\(714\) | 1.47570 | − | 1.23885i | 0.0552268 | − | 0.0463627i | ||||
\(715\) | 2.36802 | − | 2.96940i | 0.0885590 | − | 0.111049i | ||||
\(716\) | −0.926172 | + | 1.60418i | −0.0346127 | + | 0.0599509i | ||||
\(717\) | −0.275445 | − | 0.477085i | −0.0102867 | − | 0.0178171i | ||||
\(718\) | 2.66351 | + | 0.401460i | 0.0994013 | + | 0.0149823i | ||||
\(719\) | −31.2420 | − | 28.9883i | −1.16513 | − | 1.08108i | −0.995421 | − | 0.0955869i | \(-0.969527\pi\) |
−0.169708 | − | 0.985494i | \(-0.554282\pi\) | |||||||
\(720\) | −8.57176 | + | 4.12794i | −0.319451 | + | 0.153839i | ||||
\(721\) | 7.25960 | + | 7.43942i | 0.270361 | + | 0.277058i | ||||
\(722\) | 23.3241 | + | 11.2323i | 0.868034 | + | 0.418023i | ||||
\(723\) | 0.356239 | + | 0.907683i | 0.0132487 | + | 0.0337571i | ||||
\(724\) | 0.0834729 | + | 1.11387i | 0.00310225 | + | 0.0413966i | ||||
\(725\) | 19.6919 | − | 6.07414i | 0.731338 | − | 0.225588i | ||||
\(726\) | 0.0599083 | − | 0.799421i | 0.00222341 | − | 0.0296693i | ||||
\(727\) | 3.98035 | + | 17.4391i | 0.147623 | + | 0.646779i | 0.993542 | + | 0.113467i | \(0.0361957\pi\) |
−0.845919 | + | 0.533312i | \(0.820947\pi\) | |||||||
\(728\) | −5.11164 | + | 5.79492i | −0.189450 | + | 0.214774i | ||||
\(729\) | 5.95045 | − | 26.0706i | 0.220387 | − | 0.965579i | ||||
\(730\) | −7.94056 | − | 2.44934i | −0.293893 | − | 0.0906540i | ||||
\(731\) | 12.6319 | − | 32.1855i | 0.467206 | − | 1.19042i | ||||
\(732\) | 0.0516965 | − | 0.0479673i | 0.00191076 | − | 0.00177292i | ||||
\(733\) | 1.64555 | − | 1.12192i | 0.0607797 | − | 0.0414389i | −0.532549 | − | 0.846399i | \(-0.678766\pi\) |
0.593329 | + | 0.804960i | \(0.297813\pi\) | |||||||
\(734\) | −41.0098 | −1.51370 | ||||||||
\(735\) | −0.356144 | − | 0.217407i | −0.0131366 | − | 0.00801916i | ||||
\(736\) | −3.00072 | −0.110608 | ||||||||
\(737\) | 58.8910 | − | 40.1512i | 2.16928 | − | 1.47899i | ||||
\(738\) | −28.7110 | + | 26.6399i | −1.05687 | + | 0.980628i | ||||
\(739\) | 8.98595 | − | 22.8958i | 0.330553 | − | 0.842236i | −0.664895 | − | 0.746937i | \(-0.731524\pi\) |
0.995449 | − | 0.0952996i | \(-0.0303809\pi\) | |||||||
\(740\) | 0.659084 | + | 0.203301i | 0.0242284 | + | 0.00747348i | ||||
\(741\) | −0.000111103 | 0 | 0.000486772i | −4.08146e−6 | 0 | 1.78820e-5i | ||||
\(742\) | −0.336456 | + | 1.19691i | −0.0123517 | + | 0.0439398i | ||||
\(743\) | −11.7359 | − | 51.4183i | −0.430548 | − | 1.88635i | −0.462056 | − | 0.886851i | \(-0.652888\pi\) |
0.0315074 | − | 0.999504i | \(-0.489969\pi\) | |||||||
\(744\) | −0.0417479 | + | 0.557086i | −0.00153055 | + | 0.0204238i | ||||
\(745\) | −7.54541 | + | 2.32745i | −0.276443 | + | 0.0852712i | ||||
\(746\) | 0.313391 | + | 4.18191i | 0.0114740 | + | 0.153111i | ||||
\(747\) | −5.48881 | − | 13.9853i | −0.200825 | − | 0.511694i | ||||
\(748\) | −4.40419 | − | 2.12095i | −0.161033 | − | 0.0775496i | ||||
\(749\) | −7.12958 | + | 11.0444i | −0.260509 | + | 0.403554i | ||||
\(750\) | 0.677590 | − | 0.326310i | 0.0247421 | − | 0.0119152i | ||||
\(751\) | −29.7301 | − | 27.5855i | −1.08487 | − | 1.00661i | −0.999948 | − | 0.0102207i | \(-0.996747\pi\) |
−0.0849183 | − | 0.996388i | \(-0.527063\pi\) | |||||||
\(752\) | 30.9382 | + | 4.66319i | 1.12820 | + | 0.170049i | ||||
\(753\) | 0.574597 | + | 0.995231i | 0.0209395 | + | 0.0362682i | ||||
\(754\) | 3.29559 | − | 5.70814i | 0.120018 | − | 0.207878i | ||||
\(755\) | 2.12334 | − | 2.66259i | 0.0772764 | − | 0.0969015i | ||||
\(756\) | −0.154638 | − | 0.0312231i | −0.00562412 | − | 0.00113557i | ||||
\(757\) | 19.2049 | + | 24.0822i | 0.698014 | + | 0.875282i | 0.996873 | − | 0.0790154i | \(-0.0251776\pi\) |
−0.298860 | + | 0.954297i | \(0.596606\pi\) | |||||||
\(758\) | −14.0082 | + | 2.11139i | −0.508800 | + | 0.0766892i | ||||
\(759\) | −0.935923 | − | 0.638101i | −0.0339718 | − | 0.0231616i | ||||
\(760\) | −0.0149588 | − | 0.0101988i | −0.000542613 | − | 0.000369948i | ||||
\(761\) | −8.16878 | + | 1.23125i | −0.296118 | + | 0.0446326i | −0.295421 | − | 0.955367i | \(-0.595460\pi\) |
−0.000697009 | 1.00000i | \(0.500222\pi\) | ||||||||
\(762\) | −0.436881 | − | 0.547831i | −0.0158265 | − | 0.0198458i | ||||
\(763\) | 7.69030 | − | 17.0541i | 0.278408 | − | 0.617399i | ||||
\(764\) | −0.831651 | + | 1.04286i | −0.0300881 | + | 0.0377292i | ||||
\(765\) | −9.93797 | + | 17.2131i | −0.359308 | + | 0.622340i | ||||
\(766\) | 23.1960 | + | 40.1767i | 0.838107 | + | 1.45164i | ||||
\(767\) | 2.73988 | + | 0.412970i | 0.0989313 | + | 0.0149115i | ||||
\(768\) | 0.174056 | + | 0.161501i | 0.00628071 | + | 0.00582765i | ||||
\(769\) | 25.5274 | − | 12.2934i | 0.920542 | − | 0.443310i | 0.0872777 | − | 0.996184i | \(-0.472183\pi\) |
0.833265 | + | 0.552874i | \(0.186469\pi\) | |||||||
\(770\) | 1.69927 | − | 13.5856i | 0.0612374 | − | 0.489589i | ||||
\(771\) | −0.867037 | − | 0.417543i | −0.0312256 | − | 0.0150374i | ||||
\(772\) | −0.766958 | − | 1.95418i | −0.0276034 | − | 0.0703323i | ||||
\(773\) | 0.161234 | + | 2.15152i | 0.00579919 | + | 0.0773849i | 0.999352 | − | 0.0359814i | \(-0.0114557\pi\) |
−0.993553 | + | 0.113366i | \(0.963837\pi\) | |||||||
\(774\) | 17.4797 | − | 5.39178i | 0.628296 | − | 0.193804i | ||||
\(775\) | −0.878803 | + | 11.7268i | −0.0315675 | + | 0.421240i | ||||
\(776\) | 7.88003 | + | 34.5247i | 0.282877 | + | 1.23936i | ||||
\(777\) | −0.597939 | − | 0.831272i | −0.0214509 | − | 0.0298217i | ||||
\(778\) | 7.48674 | − | 32.8016i | 0.268413 | − | 1.17599i | ||||
\(779\) | −0.0660832 | − | 0.0203840i | −0.00236768 | − | 0.000730331i | ||||
\(780\) | −0.00312589 | + | 0.00796464i | −0.000111925 | + | 0.000285180i | ||||
\(781\) | −40.0351 | + | 37.1471i | −1.43257 | + | 1.32923i | ||||
\(782\) | 32.1557 | − | 21.9234i | 1.14988 | − | 0.783978i | ||||
\(783\) | 2.00953 | 0.0718149 | ||||||||
\(784\) | −4.47627 | + | 25.4557i | −0.159867 | + | 0.909131i | ||||
\(785\) | 19.5446 | 0.697575 | ||||||||
\(786\) | 1.17611 | − | 0.801858i | 0.0419505 | − | 0.0286013i | ||||
\(787\) | −3.00840 | + | 2.79139i | −0.107238 | + | 0.0995022i | −0.731970 | − | 0.681337i | \(-0.761399\pi\) |
0.624732 | + | 0.780839i | \(0.285208\pi\) | |||||||
\(788\) | −1.34614 | + | 3.42990i | −0.0479541 | + | 0.122185i | ||||
\(789\) | −0.535505 | − | 0.165181i | −0.0190645 | − | 0.00588062i | ||||
\(790\) | 4.42254 | − | 19.3764i | 0.157347 | − | 0.689382i | ||||
\(791\) | −15.0827 | − | 0.749218i | −0.536280 | − | 0.0266391i | ||||
\(792\) | −8.59393 | − | 37.6525i | −0.305372 | − | 1.33792i | ||||
\(793\) | 0.529885 | − | 7.07083i | 0.0188168 | − | 0.251092i | ||||
\(794\) | −13.1571 | + | 4.05841i | −0.466926 | + | 0.144028i | ||||
\(795\) | 0.00153633 | + | 0.0205009i | 5.44880e−5 | + | 0.000727092i | ||||
\(796\) | 0.260192 | + | 0.662958i | 0.00922226 | + | 0.0234979i | ||||
\(797\) | −2.76841 | − | 1.33320i | −0.0980621 | − | 0.0472242i | 0.384210 | − | 0.923246i | \(-0.374474\pi\) |
−0.482272 | + | 0.876022i | \(0.660188\pi\) | |||||||
\(798\) | 0.000573639 | 0.00170603i | 2.03066e−5 | 6.03928e-5i | ||||||
\(799\) | 58.8913 | − | 28.3605i | 2.08342 | − | 1.00332i | ||||
\(800\) | 2.53058 | + | 2.34804i | 0.0894697 | + | 0.0830157i | ||||
\(801\) | −0.483478 | − | 0.0728726i | −0.0170829 | − | 0.00257483i | ||||
\(802\) | 16.7782 | + | 29.0606i | 0.592457 | + | 1.02617i | ||||
\(803\) | 15.6495 | − | 27.1057i | 0.552258 | − | 0.956540i | ||||
\(804\) | −0.100113 | + | 0.125538i | −0.00353073 | + | 0.00442739i | ||||
\(805\) | −6.71945 | − | 5.08732i | −0.236829 | − | 0.179304i | ||||
\(806\) | 2.34512 | + | 2.94069i | 0.0826034 | + | 0.103581i | ||||
\(807\) | −1.09214 | + | 0.164613i | −0.0384450 | + | 0.00579465i | ||||
\(808\) | 36.2828 | + | 24.7372i | 1.27643 | + | 0.870252i | ||||
\(809\) | 25.6405 | + | 17.4814i | 0.901472 | + | 0.614613i | 0.922851 | − | 0.385158i | \(-0.125853\pi\) |
−0.0213783 | + | 0.999771i | \(0.506805\pi\) | |||||||
\(810\) | −10.3813 | + | 1.56474i | −0.364763 | + | 0.0549792i | ||||
\(811\) | −21.3707 | − | 26.7980i | −0.750428 | − | 0.941007i | 0.249196 | − | 0.968453i | \(-0.419834\pi\) |
−0.999623 | + | 0.0274467i | \(0.991262\pi\) | |||||||
\(812\) | 0.0462296 | + | 1.83654i | 0.00162234 | + | 0.0644500i | ||||
\(813\) | −0.688334 | + | 0.863144i | −0.0241409 | + | 0.0302718i | ||||
\(814\) | 16.7999 | − | 29.0983i | 0.588837 | − | 1.01990i | ||||
\(815\) | −0.233385 | − | 0.404234i | −0.00817511 | − | 0.0141597i | ||||
\(816\) | −1.95146 | − | 0.294135i | −0.0683147 | − | 0.0102968i | ||||
\(817\) | 0.0236766 | + | 0.0219687i | 0.000828339 | + | 0.000768587i | ||||
\(818\) | 12.7228 | − | 6.12698i | 0.444842 | − | 0.214225i | ||||
\(819\) | −6.76098 | + | 4.13372i | −0.236248 | + | 0.144444i | ||||
\(820\) | −1.06772 | − | 0.514188i | −0.0372865 | − | 0.0179562i | ||||
\(821\) | 4.06677 | + | 10.3620i | 0.141931 | + | 0.361635i | 0.984109 | − | 0.177565i | \(-0.0568219\pi\) |
−0.842178 | + | 0.539200i | \(0.818727\pi\) | |||||||
\(822\) | −0.0892225 | − | 1.19059i | −0.00311199 | − | 0.0415266i | ||||
\(823\) | −26.6525 | + | 8.22120i | −0.929047 | + | 0.286573i | −0.722108 | − | 0.691781i | \(-0.756827\pi\) |
−0.206940 | + | 0.978354i | \(0.566350\pi\) | |||||||
\(824\) | 0.857485 | − | 11.4423i | 0.0298719 | − | 0.398613i | ||||
\(825\) | 0.289979 | + | 1.27048i | 0.0100958 | + | 0.0442324i | ||||
\(826\) | 9.20328 | − | 3.88204i | 0.320223 | − | 0.135073i | ||||
\(827\) | 0.787638 | − | 3.45087i | 0.0273889 | − | 0.119998i | −0.959385 | − | 0.282098i | \(-0.908970\pi\) |
0.986774 | + | 0.162100i | \(0.0518267\pi\) | |||||||
\(828\) | −1.52125 | − | 0.469243i | −0.0528671 | − | 0.0163073i | ||||
\(829\) | 6.80614 | − | 17.3418i | 0.236387 | − | 0.602304i | −0.762621 | − | 0.646846i | \(-0.776088\pi\) |
0.999008 | + | 0.0445421i | \(0.0141829\pi\) | |||||||
\(830\) | −4.30990 | + | 3.99900i | −0.149599 | + | 0.138807i | ||||
\(831\) | 1.00942 | − | 0.688212i | 0.0350164 | − | 0.0238738i | ||||
\(832\) | 8.48878 | 0.294296 | ||||||||
\(833\) | 22.2310 | + | 49.2077i | 0.770259 | + | 1.70494i | ||||
\(834\) | −0.396996 | −0.0137469 | ||||||||
\(835\) | 6.55656 | − | 4.47019i | 0.226899 | − | 0.154697i | ||||
\(836\) | 0.00334740 | − | 0.00310593i | 0.000115772 | − | 0.000107421i | ||||
\(837\) | −0.418954 | + | 1.06748i | −0.0144812 | + | 0.0368974i | ||||
\(838\) | 8.65151 | + | 2.66864i | 0.298861 | + | 0.0921866i | ||||
\(839\) | −3.13941 | + | 13.7546i | −0.108384 | + | 0.474863i | 0.891382 | + | 0.453253i | \(0.149736\pi\) |
−0.999766 | + | 0.0216102i | \(0.993121\pi\) | |||||||
\(840\) | 0.0800893 | + | 0.453590i | 0.00276334 | + | 0.0156503i | ||||
\(841\) | 1.24581 | + | 5.45826i | 0.0429590 | + | 0.188216i | ||||
\(842\) | −2.55393 | + | 34.0799i | −0.0880143 | + | 1.17447i | ||||
\(843\) | 1.07657 | − | 0.332079i | 0.0370791 | − | 0.0114374i | ||||
\(844\) | −0.0386155 | − | 0.515288i | −0.00132920 | − | 0.0177369i | ||||
\(845\) | 0.314292 | + | 0.800803i | 0.0108120 | + | 0.0275485i | ||||
\(846\) | 31.1568 | + | 15.0043i | 1.07119 | + | 0.515859i | ||||
\(847\) | 21.1130 | + | 7.67891i | 0.725450 | + | 0.263850i | ||||
\(848\) | 1.14734 | − | 0.552530i | 0.0393998 | − | 0.0189739i | ||||
\(849\) | 1.12458 | + | 1.04346i | 0.0385956 | + | 0.0358115i | ||||
\(850\) | −44.2726 | − | 6.67301i | −1.51854 | − | 0.228882i | ||||
\(851\) | −10.3415 | − | 17.9121i | −0.354504 | − | 0.614018i | ||||
\(852\) | 0.0615169 | − | 0.106550i | 0.00210754 | − | 0.00365036i | ||||
\(853\) | −28.7969 | + | 36.1102i | −0.985987 | + | 1.23639i | −0.0143537 | + | 0.999897i | \(0.504569\pi\) |
−0.971633 | + | 0.236492i | \(0.924002\pi\) | |||||||
\(854\) | −11.6665 | − | 22.7433i | −0.399220 | − | 0.778260i | ||||
\(855\) | −0.0115764 | − | 0.0145163i | −0.000395904 | − | 0.000496447i | ||||
\(856\) | 14.3493 | − | 2.16281i | 0.490450 | − | 0.0739235i | ||||
\(857\) | 0.903896 | + | 0.616266i | 0.0308765 | + | 0.0210512i | 0.578660 | − | 0.815569i | \(-0.303576\pi\) |
−0.547783 | + | 0.836620i | \(0.684528\pi\) | |||||||
\(858\) | 0.344382 | + | 0.234796i | 0.0117570 | + | 0.00801580i | ||||
\(859\) | 31.1271 | − | 4.69165i | 1.06204 | − | 0.160077i | 0.405293 | − | 0.914187i | \(-0.367169\pi\) |
0.656749 | + | 0.754110i | \(0.271931\pi\) | |||||||
\(860\) | 0.345093 | + | 0.432733i | 0.0117676 | + | 0.0147561i | ||||
\(861\) | 0.803023 | + | 1.56545i | 0.0273670 | + | 0.0533505i | ||||
\(862\) | −1.99850 | + | 2.50604i | −0.0680691 | + | 0.0853560i | ||||
\(863\) | −12.2997 | + | 21.3038i | −0.418688 | + | 0.725189i | −0.995808 | − | 0.0914703i | \(-0.970843\pi\) |
0.577119 | + | 0.816660i | \(0.304177\pi\) | |||||||
\(864\) | 0.168317 | + | 0.291534i | 0.00572626 | + | 0.00991817i | ||||
\(865\) | 4.44291 | + | 0.669661i | 0.151063 | + | 0.0227692i | ||||
\(866\) | 25.2781 | + | 23.4547i | 0.858986 | + | 0.797023i | ||||
\(867\) | −2.65334 | + | 1.27778i | −0.0901122 | + | 0.0433957i | ||||
\(868\) | −0.985221 | − | 0.358331i | −0.0334406 | − | 0.0121625i | ||||
\(869\) | 67.4456 | + | 32.4801i | 2.28794 | + | 1.10181i | ||||
\(870\) | −0.143538 | − | 0.365730i | −0.00486641 | − | 0.0123994i | ||||
\(871\) | 1.20647 | + | 16.0993i | 0.0408798 | + | 0.545503i | ||||
\(872\) | −19.7339 | + | 6.08709i | −0.668273 | + | 0.206135i | ||||
\(873\) | −2.71396 | + | 36.2153i | −0.0918537 | + | 1.22570i | ||||
\(874\) | 0.00808981 | + | 0.0354438i | 0.000273642 | + | 0.00119890i | ||||
\(875\) | 3.66469 | + | 20.7551i | 0.123889 | + | 0.701652i | ||||
\(876\) | −0.0156899 | + | 0.0687419i | −0.000530112 | + | 0.00232257i | ||||
\(877\) | −12.7752 | − | 3.94063i | −0.431388 | − | 0.133066i | 0.0714540 | − | 0.997444i | \(-0.477236\pi\) |
−0.502842 | + | 0.864378i | \(0.667712\pi\) | |||||||
\(878\) | 2.59217 | − | 6.60474i | 0.0874814 | − | 0.222899i | ||||
\(879\) | −0.987538 | + | 0.916301i | −0.0333088 | + | 0.0309061i | ||||
\(880\) | −11.5867 | + | 7.89970i | −0.390589 | + | 0.266299i | ||||
\(881\) | −17.2871 | −0.582417 | −0.291208 | − | 0.956660i | \(-0.594057\pi\) | ||||
−0.291208 | + | 0.956660i | \(0.594057\pi\) | |||||||
\(882\) | −13.0208 | + | 25.4272i | −0.438432 | + | 0.856177i | ||||
\(883\) | −30.6020 | −1.02984 | −0.514919 | − | 0.857239i | \(-0.672178\pi\) | ||||
−0.514919 | + | 0.857239i | \(0.672178\pi\) | |||||||
\(884\) | 0.914832 | − | 0.623722i | 0.0307691 | − | 0.0209780i | ||||
\(885\) | 0.121074 | − | 0.112340i | 0.00406985 | − | 0.00377627i | ||||
\(886\) | −12.5116 | + | 31.8790i | −0.420336 | + | 1.07100i | ||||
\(887\) | 3.03057 | + | 0.934807i | 0.101757 | + | 0.0313877i | 0.345215 | − | 0.938524i | \(-0.387806\pi\) |
−0.243459 | + | 0.969911i | \(0.578282\pi\) | |||||||
\(888\) | −0.251530 | + | 1.10202i | −0.00844079 | + | 0.0369815i | ||||
\(889\) | 18.0930 | − | 7.63180i | 0.606819 | − | 0.255963i | ||||
\(890\) | 0.0425773 | + | 0.186543i | 0.00142719 | + | 0.00625295i | ||||
\(891\) | 2.95509 | − | 39.4329i | 0.0989991 | − | 1.32105i | ||||
\(892\) | 0.243230 | − | 0.0750266i | 0.00814396 | − | 0.00251208i | ||||
\(893\) | 0.00456302 | + | 0.0608892i | 0.000152696 | + | 0.00203758i | ||||
\(894\) | −0.316590 | − | 0.806657i | −0.0105883 | − | 0.0269786i | ||||
\(895\) | 10.0022 | + | 4.81683i | 0.334338 | + | 0.161009i | ||||
\(896\) | 22.4495 | − | 13.7258i | 0.749985 | − | 0.458547i | ||||
\(897\) | 0.231166 | − | 0.111323i | 0.00771839 | − | 0.00371698i | ||||
\(898\) | −18.4929 | − | 17.1589i | −0.617117 | − | 0.572601i | ||||
\(899\) | 13.2049 | + | 1.99032i | 0.440409 | + | 0.0663810i | ||||
\(900\) | 0.915730 | + | 1.58609i | 0.0305243 | + | 0.0528697i | ||||
\(901\) | 1.33021 | − | 2.30399i | 0.0443157 | − | 0.0767570i | ||||
\(902\) | −35.9947 | + | 45.1359i | −1.19849 | + | 1.50286i | ||||
\(903\) | −0.0206778 | − | 0.821457i | −0.000688113 | − | 0.0273364i | ||||
\(904\) | 10.3937 | + | 13.0333i | 0.345689 | + | 0.433480i | ||||
\(905\) | 6.61970 | − | 0.997760i | 0.220046 | − | 0.0331667i | ||||
\(906\) | 0.308799 | + | 0.210535i | 0.0102591 | + | 0.00699457i | ||||
\(907\) | 15.1822 | + | 10.3511i | 0.504118 | + | 0.343702i | 0.788526 | − | 0.615001i | \(-0.210845\pi\) |
−0.284408 | + | 0.958703i | \(0.591797\pi\) | |||||||
\(908\) | 3.24701 | − | 0.489408i | 0.107756 | − | 0.0162416i | ||||
\(909\) | 28.0787 | + | 35.2095i | 0.931310 | + | 1.16783i | ||||
\(910\) | 2.47249 | + | 1.87193i | 0.0819622 | + | 0.0620539i | ||||
\(911\) | 1.54638 | − | 1.93909i | 0.0512337 | − | 0.0642450i | −0.755554 | − | 0.655086i | \(-0.772632\pi\) |
0.806788 | + | 0.590841i | \(0.201204\pi\) | |||||||
\(912\) | 0.000921770 | − | 0.00159655i | 3.05229e−5 | − | 5.28672e-5i | ||||
\(913\) | −11.0725 | − | 19.1781i | −0.366446 | − | 0.634703i | ||||
\(914\) | −39.4510 | − | 5.94629i | −1.30492 | − | 0.196686i | ||||
\(915\) | −0.309833 | − | 0.287483i | −0.0102428 | − | 0.00950389i | ||||
\(916\) | 2.63921 | − | 1.27098i | 0.0872019 | − | 0.0419942i | ||||
\(917\) | 12.7136 | + | 37.8110i | 0.419842 | + | 1.24863i | ||||
\(918\) | −3.93364 | − | 1.89434i | −0.129829 | − | 0.0625225i | ||||
\(919\) | −1.04972 | − | 2.67464i | −0.0346270 | − | 0.0882282i | 0.912514 | − | 0.409045i | \(-0.134138\pi\) |
−0.947141 | + | 0.320816i | \(0.896043\pi\) | |||||||
\(920\) | 0.695260 | + | 9.27760i | 0.0229220 | + | 0.305873i | ||||
\(921\) | −1.19187 | + | 0.367643i | −0.0392735 | + | 0.0121143i | ||||
\(922\) | −2.30010 | + | 30.6927i | −0.0757497 | + | 1.01081i | ||||
\(923\) | −2.75268 | − | 12.0603i | −0.0906055 | − | 0.396969i | ||||
\(924\) | −0.116031 | − | 0.00576372i | −0.00381715 | − | 0.000189612i | ||||
\(925\) | −5.29477 | + | 23.1979i | −0.174091 | + | 0.762742i | ||||
\(926\) | −21.9809 | − | 6.78021i | −0.722337 | − | 0.222812i | ||||
\(927\) | 4.29913 | − | 10.9540i | 0.141202 | − | 0.359777i | ||||
\(928\) | 2.87368 | − | 2.66639i | 0.0943332 | − | 0.0875284i | ||||
\(929\) | 24.5206 | − | 16.7179i | 0.804495 | − | 0.548496i | −0.0898069 | − | 0.995959i | \(-0.528625\pi\) |
0.894302 | + | 0.447464i | \(0.147673\pi\) | |||||||
\(930\) | 0.224204 | 0.00735192 | ||||||||
\(931\) | −0.0503767 | + | 0.00253778i | −0.00165103 | + | 8.31724e-5i | ||||
\(932\) | −1.56906 | −0.0513961 | ||||||||
\(933\) | 0.891383 | − | 0.607735i | 0.0291826 | − | 0.0198963i | ||||
\(934\) | −9.70146 | + | 9.00164i | −0.317441 | + | 0.294543i | ||||
\(935\) | −10.7034 | + | 27.2718i | −0.350038 | + | 0.891883i | ||||
\(936\) | 8.35918 | + | 2.57847i | 0.273228 | + | 0.0842798i | ||||
\(937\) | −2.76806 | + | 12.1276i | −0.0904285 | + | 0.396193i | −0.999804 | − | 0.0197825i | \(-0.993703\pi\) |
0.909376 | + | 0.415975i | \(0.136560\pi\) | |||||||
\(938\) | 33.9843 | + | 47.2459i | 1.10963 | + | 1.54263i | ||||
\(939\) | −0.309177 | − | 1.35459i | −0.0100896 | − | 0.0442055i | ||||
\(940\) | −0.0781941 | + | 1.04343i | −0.00255041 | + | 0.0340328i | ||||
\(941\) | −26.7501 | + | 8.25133i | −0.872030 | + | 0.268986i | −0.698298 | − | 0.715807i | \(-0.746059\pi\) |
−0.173732 | + | 0.984793i | \(0.555583\pi\) | |||||||
\(942\) | 0.160288 | + | 2.13889i | 0.00522245 | + | 0.0696888i | ||||
\(943\) | 12.9833 | + | 33.0809i | 0.422795 | + | 1.07726i | ||||
\(944\) | −9.21761 | − | 4.43897i | −0.300008 | − | 0.144476i | ||||
\(945\) | −0.117347 | + | 0.938184i | −0.00381731 | + | 0.0305191i | ||||
\(946\) | 24.2927 | − | 11.6988i | 0.789824 | − | 0.380359i | ||||
\(947\) | −41.1249 | − | 38.1584i | −1.33638 | − | 1.23998i | −0.947918 | − | 0.318516i | \(-0.896816\pi\) |
−0.388463 | − | 0.921464i | \(-0.626994\pi\) | |||||||
\(948\) | −0.166757 | − | 0.0251346i | −0.00541602 | − | 0.000816334i | ||||
\(949\) | 3.54470 | + | 6.13959i | 0.115066 | + | 0.199300i | ||||
\(950\) | 0.0209121 | − | 0.0362209i | 0.000678479 | − | 0.00117516i | ||||
\(951\) | 0.887159 | − | 1.11246i | 0.0287681 | − | 0.0360741i | ||||
\(952\) | 24.5025 | − | 54.3369i | 0.794130 | − | 1.76107i | ||||
\(953\) | 20.9722 | + | 26.2984i | 0.679357 | + | 0.851887i | 0.995295 | − | 0.0968928i | \(-0.0308904\pi\) |
−0.315937 | + | 0.948780i | \(0.602319\pi\) | |||||||
\(954\) | 1.39179 | − | 0.209779i | 0.0450608 | − | 0.00679183i | ||||
\(955\) | 6.60516 | + | 4.50332i | 0.213738 | + | 0.145724i | ||||
\(956\) | −0.942906 | − | 0.642862i | −0.0304958 | − | 0.0207917i | ||||
\(957\) | 1.46331 | − | 0.220558i | 0.0473019 | − | 0.00712962i | ||||
\(958\) | −22.1138 | − | 27.7298i | −0.714463 | − | 0.895908i | ||||
\(959\) | 32.7972 | + | 6.62213i | 1.05908 | + | 0.213840i | ||||
\(960\) | 0.315487 | − | 0.395608i | 0.0101823 | − | 0.0127682i | ||||
\(961\) | 11.6897 | − | 20.2472i | 0.377088 | − | 0.653135i | ||||
\(962\) | 3.80528 | + | 6.59093i | 0.122687 | + | 0.212500i | ||||
\(963\) | 14.7158 | + | 2.21805i | 0.474209 | + | 0.0714755i | ||||
\(964\) | 1.48073 | + | 1.37392i | 0.0476911 | + | 0.0442509i | ||||
\(965\) | −11.3357 | + | 5.45899i | −0.364910 | + | 0.175731i | ||||
\(966\) | 0.501632 | − | 0.777076i | 0.0161397 | − | 0.0250020i | ||||
\(967\) | 40.1446 | + | 19.3326i | 1.29096 | + | 0.621695i | 0.948184 | − | 0.317721i | \(-0.102918\pi\) |
0.342779 | + | 0.939416i | \(0.388632\pi\) | |||||||
\(968\) | −9.06046 | − | 23.0857i | −0.291214 | − | 0.742001i | ||||
\(969\) | −0.000287817 | − | 0.00384064i | −9.24600e−6 | − | 0.000123379i | ||||
\(970\) | 13.5808 | − | 4.18911i | 0.436052 | − | 0.134504i | ||||
\(971\) | 2.58082 | − | 34.4386i | 0.0828224 | − | 1.10519i | −0.788682 | − | 0.614801i | \(-0.789236\pi\) |
0.871505 | − | 0.490387i | \(-0.163145\pi\) | |||||||
\(972\) | 0.0596276 | + | 0.261246i | 0.00191256 | + | 0.00837946i | ||||
\(973\) | 3.01075 | − | 10.7104i | 0.0965202 | − | 0.343360i | ||||
\(974\) | −5.80921 | + | 25.4518i | −0.186139 | + | 0.815529i | ||||
\(975\) | −0.282058 | − | 0.0870032i | −0.00903307 | − | 0.00278633i | ||||
\(976\) | −9.56498 | + | 24.3712i | −0.306167 | + | 0.780102i | ||||
\(977\) | 9.44257 | − | 8.76142i | 0.302095 | − | 0.280303i | −0.514530 | − | 0.857473i | \(-0.672033\pi\) |
0.816624 | + | 0.577170i | \(0.195843\pi\) | |||||||
\(978\) | 0.0423240 | − | 0.0288560i | 0.00135337 | − | 0.000922714i | ||||
\(979\) | −0.720693 | −0.0230334 | ||||||||
\(980\) | −0.860120 | − | 0.0856623i | −0.0274755 | − | 0.00273638i | ||||
\(981\) | −21.1787 | −0.676185 | ||||||||
\(982\) | −11.4588 | + | 7.81250i | −0.365666 | + | 0.249307i | ||||
\(983\) | −25.3546 | + | 23.5256i | −0.808686 | + | 0.750351i | −0.971686 | − | 0.236275i | \(-0.924073\pi\) |
0.163001 | + | 0.986626i | \(0.447883\pi\) | |||||||
\(984\) | 0.709559 | − | 1.80793i | 0.0226199 | − | 0.0576346i | ||||
\(985\) | 21.1019 | + | 6.50906i | 0.672361 | + | 0.207396i | ||||
\(986\) | −11.3136 | + | 49.5682i | −0.360299 | + | 1.57857i | ||||
\(987\) | 1.02762 | − | 1.16498i | 0.0327094 | − | 0.0370817i | ||||
\(988\) | 0.000230156 | 0.00100838i | 7.32223e−6 | 3.20808e-5i | ||||||
\(989\) | 1.24034 | − | 16.5512i | 0.0394405 | − | 0.526296i | ||||
\(990\) | −14.8111 | + | 4.56863i | −0.470729 | + | 0.145201i | ||||
\(991\) | 1.80002 | + | 24.0196i | 0.0571794 | + | 0.763007i | 0.949931 | + | 0.312458i | \(0.101152\pi\) |
−0.892752 | + | 0.450548i | \(0.851229\pi\) | |||||||
\(992\) | 0.817288 | + | 2.08241i | 0.0259489 | + | 0.0661167i | ||||
\(993\) | −1.87925 | − | 0.905001i | −0.0596363 | − | 0.0287193i | ||||
\(994\) | −31.1446 | − | 31.9161i | −0.987848 | − | 1.01232i | ||||
\(995\) | 3.84567 | − | 1.85198i | 0.121916 | − | 0.0587116i | ||||
\(996\) | 0.0365703 | + | 0.0339323i | 0.00115877 | + | 0.00107519i | ||||
\(997\) | 10.7760 | + | 1.62422i | 0.341280 | + | 0.0514396i | 0.317446 | − | 0.948276i | \(-0.397175\pi\) |
0.0238335 | + | 0.999716i | \(0.492413\pi\) | |||||||
\(998\) | −4.36622 | − | 7.56251i | −0.138210 | − | 0.239387i | ||||
\(999\) | −1.16016 | + | 2.00946i | −0.0367058 | + | 0.0635764i |
(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 | 637.2.bl.b.625.20 | yes | 348 | |
49.4 | even | 21 | inner | 637.2.bl.b.53.20 | ✓ | 348 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.b.53.20 | ✓ | 348 | 49.4 | even | 21 | inner | |
637.2.bl.b.625.20 | yes | 348 | 1.1 | even | 1 | trivial |