Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(29,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bq (of order \(30\), degree \(8\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(416\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 29.19 | ||
Character | \(\chi\) | \(=\) | 429.29 |
Dual form | 429.2.bq.a.74.19 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0983746 | + | 0.935971i | −0.0695613 | + | 0.661832i | 0.903072 | + | 0.429488i | \(0.141306\pi\) |
−0.972634 | + | 0.232344i | \(0.925361\pi\) | |||||||
\(3\) | −0.0424277 | + | 1.73153i | −0.0244957 | + | 0.999700i | ||||
\(4\) | 1.08993 | + | 0.231672i | 0.544965 | + | 0.115836i | ||||
\(5\) | 1.83190 | + | 2.52139i | 0.819250 | + | 1.12760i | 0.989830 | + | 0.142257i | \(0.0454359\pi\) |
−0.170580 | + | 0.985344i | \(0.554564\pi\) | |||||||
\(6\) | −1.61649 | − | 0.210050i | −0.659929 | − | 0.0857524i | ||||
\(7\) | −0.116038 | + | 0.545914i | −0.0438581 | + | 0.206336i | −0.994621 | − | 0.103584i | \(-0.966969\pi\) |
0.950763 | + | 0.309920i | \(0.100302\pi\) | |||||||
\(8\) | −0.905708 | + | 2.78748i | −0.320216 | + | 0.985524i | ||||
\(9\) | −2.99640 | − | 0.146930i | −0.998800 | − | 0.0489766i | ||||
\(10\) | −2.54016 | + | 1.46656i | −0.803270 | + | 0.463768i | ||||
\(11\) | 3.22514 | − | 0.773627i | 0.972415 | − | 0.233257i | ||||
\(12\) | −0.447390 | + | 1.87742i | −0.129150 | + | 0.541964i | ||||
\(13\) | −0.942470 | − | 3.48019i | −0.261394 | − | 0.965232i | ||||
\(14\) | −0.499545 | − | 0.162312i | −0.133509 | − | 0.0433797i | ||||
\(15\) | −4.44359 | + | 3.06501i | −1.14733 | + | 0.791383i | ||||
\(16\) | −0.484015 | − | 0.215497i | −0.121004 | − | 0.0538743i | ||||
\(17\) | −0.327501 | − | 3.11596i | −0.0794307 | − | 0.755732i | −0.959656 | − | 0.281177i | \(-0.909275\pi\) |
0.880225 | − | 0.474556i | \(-0.157391\pi\) | |||||||
\(18\) | 0.432292 | − | 2.79009i | 0.101892 | − | 0.657631i | ||||
\(19\) | 3.66561 | − | 3.30053i | 0.840949 | − | 0.757194i | −0.131250 | − | 0.991349i | \(-0.541899\pi\) |
0.972199 | + | 0.234155i | \(0.0752324\pi\) | |||||||
\(20\) | 1.41251 | + | 3.17254i | 0.315846 | + | 0.709402i | ||||
\(21\) | −0.940343 | − | 0.224084i | −0.205200 | − | 0.0488992i | ||||
\(22\) | 0.406821 | + | 3.09474i | 0.0867346 | + | 0.659801i | ||||
\(23\) | 1.32037 | − | 0.762316i | 0.275316 | − | 0.158954i | −0.355985 | − | 0.934492i | \(-0.615855\pi\) |
0.631301 | + | 0.775538i | \(0.282521\pi\) | |||||||
\(24\) | −4.78819 | − | 1.68653i | −0.977384 | − | 0.344261i | ||||
\(25\) | −1.45648 | + | 4.48259i | −0.291296 | + | 0.896517i | ||||
\(26\) | 3.35008 | − | 0.539763i | 0.657004 | − | 0.105856i | ||||
\(27\) | 0.381544 | − | 5.18213i | 0.0734282 | − | 0.997301i | ||||
\(28\) | −0.252946 | + | 0.568125i | −0.0478022 | + | 0.107366i | ||||
\(29\) | 1.53251 | − | 1.70203i | 0.284580 | − | 0.316058i | −0.583858 | − | 0.811856i | \(-0.698457\pi\) |
0.868438 | + | 0.495797i | \(0.165124\pi\) | |||||||
\(30\) | −2.43163 | − | 4.46059i | −0.443952 | − | 0.814389i | ||||
\(31\) | −4.54976 | − | 3.30559i | −0.817161 | − | 0.593702i | 0.0987370 | − | 0.995114i | \(-0.468520\pi\) |
−0.915898 | + | 0.401412i | \(0.868520\pi\) | |||||||
\(32\) | −2.68162 | + | 4.64470i | −0.474048 | + | 0.821075i | ||||
\(33\) | 1.20272 | + | 5.61725i | 0.209367 | + | 0.977837i | ||||
\(34\) | 2.94867 | 0.505693 | ||||||||
\(35\) | −1.58903 | + | 0.707482i | −0.268595 | + | 0.119586i | ||||
\(36\) | −3.23183 | − | 0.854325i | −0.538638 | − | 0.142387i | ||||
\(37\) | −0.514554 | + | 0.571471i | −0.0845922 | + | 0.0939492i | −0.783955 | − | 0.620818i | \(-0.786801\pi\) |
0.699363 | + | 0.714767i | \(0.253467\pi\) | |||||||
\(38\) | 2.72860 | + | 3.75560i | 0.442638 | + | 0.609238i | ||||
\(39\) | 6.06605 | − | 1.48426i | 0.971346 | − | 0.237672i | ||||
\(40\) | −8.68750 | + | 2.82274i | −1.37361 | + | 0.446315i | ||||
\(41\) | 3.86161 | − | 0.820810i | 0.603082 | − | 0.128189i | 0.103755 | − | 0.994603i | \(-0.466914\pi\) |
0.499327 | + | 0.866414i | \(0.333581\pi\) | |||||||
\(42\) | 0.302243 | − | 0.858090i | 0.0466370 | − | 0.132406i | ||||
\(43\) | −7.62611 | − | 4.40294i | −1.16297 | − | 0.671442i | −0.210957 | − | 0.977495i | \(-0.567658\pi\) |
−0.952014 | + | 0.306053i | \(0.900991\pi\) | |||||||
\(44\) | 3.69440 | − | 0.0960260i | 0.556952 | − | 0.0144765i | ||||
\(45\) | −5.11863 | − | 7.82426i | −0.763041 | − | 1.16637i | ||||
\(46\) | 0.583615 | + | 1.31082i | 0.0860494 | + | 0.193270i | ||||
\(47\) | −11.6982 | − | 3.80097i | −1.70636 | − | 0.554429i | −0.716637 | − | 0.697446i | \(-0.754320\pi\) |
−0.989720 | + | 0.143017i | \(0.954320\pi\) | |||||||
\(48\) | 0.393676 | − | 0.828944i | 0.0568222 | − | 0.119648i | ||||
\(49\) | 6.11026 | + | 2.72046i | 0.872894 | + | 0.388638i | ||||
\(50\) | −4.05229 | − | 1.80420i | −0.573081 | − | 0.255152i | ||||
\(51\) | 5.40929 | − | 0.434875i | 0.757451 | − | 0.0608947i | ||||
\(52\) | −0.220964 | − | 4.01151i | −0.0306422 | − | 0.556297i | ||||
\(53\) | −6.27139 | + | 8.63183i | −0.861442 | + | 1.18567i | 0.119782 | + | 0.992800i | \(0.461780\pi\) |
−0.981224 | + | 0.192873i | \(0.938220\pi\) | |||||||
\(54\) | 4.81279 | + | 0.866903i | 0.654937 | + | 0.117971i | ||||
\(55\) | 7.85874 | + | 6.71463i | 1.05967 | + | 0.905400i | ||||
\(56\) | −1.41663 | − | 0.817891i | −0.189305 | − | 0.109295i | ||||
\(57\) | 5.55945 | + | 6.48716i | 0.736367 | + | 0.859245i | ||||
\(58\) | 1.44229 | + | 1.60182i | 0.189382 | + | 0.210330i | ||||
\(59\) | −2.77031 | + | 13.0333i | −0.360664 | + | 1.69679i | 0.306492 | + | 0.951873i | \(0.400845\pi\) |
−0.667156 | + | 0.744918i | \(0.732488\pi\) | |||||||
\(60\) | −5.55328 | + | 2.31119i | −0.716926 | + | 0.298374i | ||||
\(61\) | −4.59406 | + | 0.482856i | −0.588210 | + | 0.0618233i | −0.393958 | − | 0.919128i | \(-0.628894\pi\) |
−0.194252 | + | 0.980952i | \(0.562228\pi\) | |||||||
\(62\) | 3.54152 | − | 3.93326i | 0.449774 | − | 0.499524i | ||||
\(63\) | 0.427906 | − | 1.61873i | 0.0539111 | − | 0.203940i | ||||
\(64\) | −4.94077 | − | 3.58968i | −0.617596 | − | 0.448710i | ||||
\(65\) | 7.04842 | − | 8.75170i | 0.874249 | − | 1.08551i | ||||
\(66\) | −5.37590 | + | 0.573121i | −0.661727 | + | 0.0705463i | ||||
\(67\) | −2.08799 | − | 3.61650i | −0.255088 | − | 0.441826i | 0.709831 | − | 0.704372i | \(-0.248771\pi\) |
−0.964920 | + | 0.262546i | \(0.915438\pi\) | |||||||
\(68\) | 0.364928 | − | 3.47206i | 0.0442540 | − | 0.421049i | ||||
\(69\) | 1.26395 | + | 2.31861i | 0.152162 | + | 0.279127i | ||||
\(70\) | −0.505863 | − | 1.55689i | −0.0604622 | − | 0.186084i | ||||
\(71\) | 11.2499 | − | 1.18242i | 1.33512 | − | 0.140327i | 0.590080 | − | 0.807345i | \(-0.299096\pi\) |
0.745042 | + | 0.667018i | \(0.232430\pi\) | |||||||
\(72\) | 3.12343 | − | 8.21934i | 0.368100 | − | 0.968658i | ||||
\(73\) | 12.4559 | − | 4.04716i | 1.45785 | − | 0.473685i | 0.530438 | − | 0.847724i | \(-0.322027\pi\) |
0.927413 | + | 0.374039i | \(0.122027\pi\) | |||||||
\(74\) | −0.484261 | − | 0.537826i | −0.0562942 | − | 0.0625210i | ||||
\(75\) | −7.69994 | − | 2.71213i | −0.889113 | − | 0.313170i | ||||
\(76\) | 4.75990 | − | 2.74813i | 0.545998 | − | 0.315232i | ||||
\(77\) | 0.0480966 | + | 1.85042i | 0.00548111 | + | 0.210874i | ||||
\(78\) | 0.792480 | + | 5.82366i | 0.0897307 | + | 0.659400i | ||||
\(79\) | −1.46823 | + | 2.02084i | −0.165189 | + | 0.227363i | −0.883584 | − | 0.468272i | \(-0.844877\pi\) |
0.718396 | + | 0.695635i | \(0.244877\pi\) | |||||||
\(80\) | −0.343313 | − | 1.61516i | −0.0383835 | − | 0.180580i | ||||
\(81\) | 8.95682 | + | 0.880521i | 0.995203 | + | 0.0978357i | ||||
\(82\) | 0.388371 | + | 3.69510i | 0.0428884 | + | 0.408056i | ||||
\(83\) | 1.83188 | − | 1.33094i | 0.201075 | − | 0.146089i | −0.482692 | − | 0.875790i | \(-0.660341\pi\) |
0.683766 | + | 0.729701i | \(0.260341\pi\) | |||||||
\(84\) | −0.972995 | − | 0.462088i | −0.106162 | − | 0.0504179i | ||||
\(85\) | 7.25662 | − | 6.53389i | 0.787091 | − | 0.708700i | ||||
\(86\) | 4.87124 | − | 6.70469i | 0.525279 | − | 0.722985i | ||||
\(87\) | 2.88209 | + | 2.72581i | 0.308993 | + | 0.292237i | ||||
\(88\) | −0.764561 | + | 9.69069i | −0.0815024 | + | 1.03303i | ||||
\(89\) | −4.97218 | + | 2.87069i | −0.527050 | + | 0.304293i | −0.739815 | − | 0.672811i | \(-0.765087\pi\) |
0.212764 | + | 0.977104i | \(0.431753\pi\) | |||||||
\(90\) | 7.82683 | − | 4.02119i | 0.825020 | − | 0.423870i | ||||
\(91\) | 2.00925 | − | 0.110674i | 0.210626 | − | 0.0116018i | ||||
\(92\) | 1.61572 | − | 0.524979i | 0.168450 | − | 0.0547328i | ||||
\(93\) | 5.91677 | − | 7.73780i | 0.613541 | − | 0.802372i | ||||
\(94\) | 4.70841 | − | 10.5753i | 0.485635 | − | 1.09075i | ||||
\(95\) | 15.0370 | + | 3.19621i | 1.54276 | + | 0.327924i | ||||
\(96\) | −7.92867 | − | 4.84037i | −0.809216 | − | 0.494018i | ||||
\(97\) | 16.5471 | − | 7.36726i | 1.68011 | − | 0.748032i | 0.680220 | − | 0.733008i | \(-0.261884\pi\) |
0.999887 | − | 0.0150243i | \(-0.00478257\pi\) | |||||||
\(98\) | −3.14737 | + | 5.45141i | −0.317932 | + | 0.550675i | ||||
\(99\) | −9.77747 | + | 1.84423i | −0.982672 | + | 0.185352i | ||||
\(100\) | −2.62595 | + | 4.54828i | −0.262595 | + | 0.454828i | ||||
\(101\) | −0.446531 | + | 4.24846i | −0.0444315 | + | 0.422738i | 0.949585 | + | 0.313509i | \(0.101505\pi\) |
−0.994017 | + | 0.109228i | \(0.965162\pi\) | |||||||
\(102\) | −0.125105 | + | 5.10572i | −0.0123873 | + | 0.505541i | ||||
\(103\) | 0.929478 | + | 2.86064i | 0.0915841 | + | 0.281867i | 0.986348 | − | 0.164672i | \(-0.0526565\pi\) |
−0.894764 | + | 0.446539i | \(0.852656\pi\) | |||||||
\(104\) | 10.5546 | + | 0.524920i | 1.03496 | + | 0.0514727i | ||||
\(105\) | −1.15761 | − | 2.78147i | −0.112971 | − | 0.271444i | ||||
\(106\) | −7.46220 | − | 6.71899i | −0.724793 | − | 0.652606i | ||||
\(107\) | −17.3532 | + | 3.68853i | −1.67759 | + | 0.356584i | −0.945752 | − | 0.324890i | \(-0.894673\pi\) |
−0.731843 | + | 0.681474i | \(0.761339\pi\) | |||||||
\(108\) | 1.61641 | − | 5.55976i | 0.155539 | − | 0.534988i | ||||
\(109\) | − | 8.39457i | − | 0.804054i | −0.915628 | − | 0.402027i | \(-0.868306\pi\) | ||
0.915628 | − | 0.402027i | \(-0.131694\pi\) | |||||||
\(110\) | −7.05780 | + | 6.69501i | −0.672935 | + | 0.638344i | ||||
\(111\) | −0.967688 | − | 0.915213i | −0.0918488 | − | 0.0868682i | ||||
\(112\) | 0.173807 | − | 0.239225i | 0.0164232 | − | 0.0226046i | ||||
\(113\) | −6.34308 | + | 5.71134i | −0.596707 | + | 0.537277i | −0.911190 | − | 0.411986i | \(-0.864835\pi\) |
0.314483 | + | 0.949263i | \(0.398169\pi\) | |||||||
\(114\) | −6.61870 | + | 4.56532i | −0.619898 | + | 0.427581i | ||||
\(115\) | 4.34088 | + | 1.93268i | 0.404789 | + | 0.180224i | ||||
\(116\) | 2.06464 | − | 1.50005i | 0.191697 | − | 0.139276i | ||||
\(117\) | 2.31267 | + | 10.5665i | 0.213807 | + | 0.976876i | ||||
\(118\) | −11.9263 | − | 3.87508i | −1.09790 | − | 0.356730i | ||||
\(119\) | 1.73905 | + | 0.182782i | 0.159418 | + | 0.0167556i | ||||
\(120\) | −4.51907 | − | 15.1624i | −0.412533 | − | 1.38414i | ||||
\(121\) | 9.80300 | − | 4.99010i | 0.891182 | − | 0.453646i | ||||
\(122\) | − | 4.34741i | − | 0.393596i | ||||||
\(123\) | 1.25742 | + | 6.72132i | 0.113378 | + | 0.606041i | ||||
\(124\) | −4.19311 | − | 4.65692i | −0.376552 | − | 0.418203i | ||||
\(125\) | 0.849886 | − | 0.276145i | 0.0760161 | − | 0.0246991i | ||||
\(126\) | 1.47299 | + | 0.559749i | 0.131224 | + | 0.0498664i | ||||
\(127\) | −3.59870 | + | 8.08281i | −0.319333 | + | 0.717233i | −0.999880 | − | 0.0154706i | \(-0.995075\pi\) |
0.680547 | + | 0.732704i | \(0.261742\pi\) | |||||||
\(128\) | −3.33153 | + | 3.70004i | −0.294468 | + | 0.327040i | ||||
\(129\) | 7.94738 | − | 13.0180i | 0.699728 | − | 1.14618i | ||||
\(130\) | 7.49795 | + | 7.45807i | 0.657614 | + | 0.654116i | ||||
\(131\) | 4.13605 | 0.361368 | 0.180684 | − | 0.983541i | \(-0.442169\pi\) | ||||
0.180684 | + | 0.983541i | \(0.442169\pi\) | |||||||
\(132\) | 0.00952699 | + | 6.40104i | 0.000829218 | + | 0.557139i | ||||
\(133\) | 1.37646 | + | 2.38409i | 0.119354 | + | 0.206727i | ||||
\(134\) | 3.59035 | − | 1.59853i | 0.310159 | − | 0.138092i | ||||
\(135\) | 13.7651 | − | 8.53111i | 1.18471 | − | 0.734241i | ||||
\(136\) | 8.98232 | + | 1.90925i | 0.770228 | + | 0.163717i | ||||
\(137\) | −3.43766 | + | 0.361313i | −0.293699 | + | 0.0308690i | −0.250232 | − | 0.968186i | \(-0.580507\pi\) |
−0.0434670 | + | 0.999055i | \(0.513840\pi\) | |||||||
\(138\) | −2.29449 | + | 0.954933i | −0.195320 | + | 0.0812893i | ||||
\(139\) | −3.16732 | + | 14.9010i | −0.268648 | + | 1.26389i | 0.612280 | + | 0.790641i | \(0.290252\pi\) |
−0.880928 | + | 0.473250i | \(0.843081\pi\) | |||||||
\(140\) | −1.89584 | + | 0.402973i | −0.160228 | + | 0.0340574i | ||||
\(141\) | 7.07783 | − | 20.0945i | 0.596061 | − | 1.69226i | ||||
\(142\) | 10.6459i | 0.893387i | ||||||||
\(143\) | −5.73197 | − | 10.4950i | −0.479331 | − | 0.877634i | ||||
\(144\) | 1.41864 | + | 0.716832i | 0.118220 | + | 0.0597360i | ||||
\(145\) | 7.09888 | + | 0.746123i | 0.589530 | + | 0.0619621i | ||||
\(146\) | 2.56269 | + | 12.0565i | 0.212089 | + | 0.997802i | ||||
\(147\) | −4.96981 | + | 10.4647i | −0.409903 | + | 0.863113i | ||||
\(148\) | −0.693222 | + | 0.503655i | −0.0569825 | + | 0.0414002i | ||||
\(149\) | −1.58385 | − | 15.0693i | −0.129754 | − | 1.23452i | −0.844660 | − | 0.535303i | \(-0.820197\pi\) |
0.714906 | − | 0.699220i | \(-0.246469\pi\) | |||||||
\(150\) | 3.29595 | − | 6.94012i | 0.269113 | − | 0.566659i | ||||
\(151\) | −9.98409 | − | 3.24403i | −0.812493 | − | 0.263995i | −0.126840 | − | 0.991923i | \(-0.540483\pi\) |
−0.685653 | + | 0.727928i | \(0.740483\pi\) | |||||||
\(152\) | 5.88020 | + | 13.2072i | 0.476948 | + | 1.07124i | ||||
\(153\) | 0.523496 | + | 9.38480i | 0.0423222 | + | 0.758716i | ||||
\(154\) | −1.73667 | − | 0.137017i | −0.139945 | − | 0.0110411i | ||||
\(155\) | − | 17.5272i | − | 1.40782i | ||||||
\(156\) | 6.95543 | − | 0.212407i | 0.556880 | − | 0.0170061i | ||||
\(157\) | −1.77147 | + | 5.45203i | −0.141379 | + | 0.435119i | −0.996528 | − | 0.0832635i | \(-0.973466\pi\) |
0.855149 | + | 0.518383i | \(0.173466\pi\) | |||||||
\(158\) | −1.74702 | − | 1.57302i | −0.138985 | − | 0.125143i | ||||
\(159\) | −14.6802 | − | 11.2253i | −1.16422 | − | 0.890227i | ||||
\(160\) | −16.6236 | + | 1.74721i | −1.31421 | + | 0.138129i | ||||
\(161\) | 0.262946 | + | 0.809265i | 0.0207231 | + | 0.0637791i | ||||
\(162\) | −1.70527 | + | 8.29671i | −0.133978 | + | 0.651851i | ||||
\(163\) | −2.33196 | + | 1.03825i | −0.182653 | + | 0.0813223i | −0.496026 | − | 0.868308i | \(-0.665208\pi\) |
0.313373 | + | 0.949630i | \(0.398541\pi\) | |||||||
\(164\) | 4.39904 | 0.343508 | ||||||||
\(165\) | −11.9600 | + | 13.3228i | −0.931086 | + | 1.03718i | ||||
\(166\) | 1.06551 | + | 1.84552i | 0.0826996 | + | 0.143240i | ||||
\(167\) | 1.02142 | − | 9.71812i | 0.0790395 | − | 0.752011i | −0.881183 | − | 0.472775i | \(-0.843252\pi\) |
0.960223 | − | 0.279236i | \(-0.0900810\pi\) | |||||||
\(168\) | 1.47631 | − | 2.41824i | 0.113900 | − | 0.186571i | ||||
\(169\) | −11.2235 | + | 6.55996i | −0.863346 | + | 0.504612i | ||||
\(170\) | 5.40167 | + | 7.43476i | 0.414289 | + | 0.570220i | ||||
\(171\) | −11.4686 | + | 9.35113i | −0.877025 | + | 0.715099i | ||||
\(172\) | −7.29190 | − | 6.56565i | −0.556002 | − | 0.500626i | ||||
\(173\) | 9.88682 | + | 10.9804i | 0.751681 | + | 0.834826i | 0.990682 | − | 0.136193i | \(-0.0434867\pi\) |
−0.239001 | + | 0.971019i | \(0.576820\pi\) | |||||||
\(174\) | −2.83480 | + | 2.42941i | −0.214906 | + | 0.184173i | ||||
\(175\) | −2.27810 | − | 1.31526i | −0.172208 | − | 0.0994244i | ||||
\(176\) | −1.72773 | − | 0.320561i | −0.130232 | − | 0.0241632i | ||||
\(177\) | −22.4500 | − | 5.34986i | −1.68745 | − | 0.402120i | ||||
\(178\) | −2.19775 | − | 4.93623i | −0.164728 | − | 0.369986i | ||||
\(179\) | −0.982089 | − | 4.62037i | −0.0734048 | − | 0.345342i | 0.926084 | − | 0.377318i | \(-0.123154\pi\) |
−0.999489 | + | 0.0319753i | \(0.989820\pi\) | |||||||
\(180\) | −3.76629 | − | 9.71374i | −0.280723 | − | 0.724019i | ||||
\(181\) | 8.62200 | − | 6.26425i | 0.640868 | − | 0.465618i | −0.219280 | − | 0.975662i | \(-0.570371\pi\) |
0.860148 | + | 0.510044i | \(0.170371\pi\) | |||||||
\(182\) | −0.0940709 | + | 1.89149i | −0.00697300 | + | 0.140206i | ||||
\(183\) | −0.641164 | − | 7.97525i | −0.0473962 | − | 0.589548i | ||||
\(184\) | 0.929073 | + | 4.37094i | 0.0684922 | + | 0.322230i | ||||
\(185\) | −2.38351 | − | 0.250517i | −0.175239 | − | 0.0184184i | ||||
\(186\) | 6.66030 | + | 6.29913i | 0.488357 | + | 0.461875i | ||||
\(187\) | −3.46683 | − | 9.79605i | −0.253520 | − | 0.716358i | ||||
\(188\) | −11.8696 | − | 6.85294i | −0.865683 | − | 0.499802i | ||||
\(189\) | 2.78472 | + | 0.809611i | 0.202559 | + | 0.0588906i | ||||
\(190\) | −4.47081 | + | 13.7597i | −0.324347 | + | 0.998237i | ||||
\(191\) | −0.549808 | + | 2.58664i | −0.0397827 | + | 0.187163i | −0.993552 | − | 0.113377i | \(-0.963833\pi\) |
0.953769 | + | 0.300539i | \(0.0971667\pi\) | |||||||
\(192\) | 6.42527 | − | 8.40280i | 0.463704 | − | 0.606420i | ||||
\(193\) | −5.57750 | + | 12.5273i | −0.401477 | + | 0.901733i | 0.593795 | + | 0.804616i | \(0.297629\pi\) |
−0.995273 | + | 0.0971172i | \(0.969038\pi\) | |||||||
\(194\) | 5.26773 | + | 16.2124i | 0.378201 | + | 1.16398i | ||||
\(195\) | 14.8548 | + | 12.5759i | 1.06377 | + | 0.900577i | ||||
\(196\) | 6.02950 | + | 4.38069i | 0.430679 | + | 0.312907i | ||||
\(197\) | −9.96869 | − | 17.2663i | −0.710240 | − | 1.23017i | −0.964767 | − | 0.263106i | \(-0.915253\pi\) |
0.254527 | − | 0.967066i | \(-0.418080\pi\) | |||||||
\(198\) | −0.764289 | − | 9.33285i | −0.0543157 | − | 0.663257i | ||||
\(199\) | 0.126734 | − | 0.219510i | 0.00898396 | − | 0.0155607i | −0.861498 | − | 0.507760i | \(-0.830474\pi\) |
0.870482 | + | 0.492199i | \(0.163807\pi\) | |||||||
\(200\) | −11.1760 | − | 8.11983i | −0.790262 | − | 0.574159i | ||||
\(201\) | 6.35067 | − | 3.46198i | 0.447942 | − | 0.244189i | ||||
\(202\) | −3.93251 | − | 0.835881i | −0.276690 | − | 0.0588124i | ||||
\(203\) | 0.751331 | + | 1.03412i | 0.0527331 | + | 0.0725809i | ||||
\(204\) | 5.99649 | + | 0.779196i | 0.419838 | + | 0.0545546i | ||||
\(205\) | 9.14366 | + | 8.23299i | 0.638621 | + | 0.575017i | ||||
\(206\) | −2.76891 | + | 0.588550i | −0.192919 | + | 0.0410062i | ||||
\(207\) | −4.06836 | + | 2.09020i | −0.282771 | + | 0.145279i | ||||
\(208\) | −0.293803 | + | 1.88757i | −0.0203716 | + | 0.130879i | ||||
\(209\) | 9.26872 | − | 13.4805i | 0.641131 | − | 0.932465i | ||||
\(210\) | 2.71726 | − | 0.809863i | 0.187509 | − | 0.0558858i | ||||
\(211\) | −15.1995 | − | 1.59753i | −1.04637 | − | 0.109978i | −0.434292 | − | 0.900772i | \(-0.643001\pi\) |
−0.612083 | + | 0.790794i | \(0.709668\pi\) | |||||||
\(212\) | −8.83513 | + | 7.95519i | −0.606799 | + | 0.546364i | ||||
\(213\) | 1.57008 | + | 19.5298i | 0.107580 | + | 1.33816i | ||||
\(214\) | −1.74525 | − | 16.6049i | −0.119303 | − | 1.13509i | ||||
\(215\) | −2.86873 | − | 27.2942i | −0.195646 | − | 1.86145i | ||||
\(216\) | 14.0995 | + | 5.75704i | 0.959351 | + | 0.391717i | ||||
\(217\) | 2.33251 | − | 2.10020i | 0.158341 | − | 0.142571i | ||||
\(218\) | 7.85707 | + | 0.825812i | 0.532148 | + | 0.0559310i | ||||
\(219\) | 6.47931 | + | 21.7395i | 0.437831 | + | 1.46902i | ||||
\(220\) | 7.00989 | + | 9.13912i | 0.472606 | + | 0.616160i | ||||
\(221\) | −10.5355 | + | 4.07647i | −0.708695 | + | 0.274213i | ||||
\(222\) | 0.951809 | − | 0.815694i | 0.0638812 | − | 0.0547458i | ||||
\(223\) | −17.9197 | + | 3.80895i | −1.19999 | + | 0.255066i | −0.764199 | − | 0.644980i | \(-0.776866\pi\) |
−0.435794 | + | 0.900047i | \(0.643532\pi\) | |||||||
\(224\) | −2.22444 | − | 2.00289i | −0.148626 | − | 0.133824i | ||||
\(225\) | 5.02282 | − | 13.2176i | 0.334855 | − | 0.881175i | ||||
\(226\) | −4.72165 | − | 6.49879i | −0.314079 | − | 0.432293i | ||||
\(227\) | 8.51836 | + | 1.81063i | 0.565383 | + | 0.120176i | 0.481731 | − | 0.876319i | \(-0.340008\pi\) |
0.0836521 | + | 0.996495i | \(0.473342\pi\) | |||||||
\(228\) | 4.55652 | + | 8.35852i | 0.301763 | + | 0.553556i | ||||
\(229\) | 18.1254 | + | 13.1689i | 1.19776 | + | 0.870223i | 0.994062 | − | 0.108811i | \(-0.0347042\pi\) |
0.203697 | + | 0.979034i | \(0.434704\pi\) | |||||||
\(230\) | −2.23597 | + | 3.87281i | −0.147436 | + | 0.255366i | ||||
\(231\) | −3.20609 | + | 0.00477178i | −0.210945 | + | 0.000313960i | ||||
\(232\) | 3.35636 | + | 5.81339i | 0.220356 | + | 0.381668i | ||||
\(233\) | −7.36465 | − | 5.35073i | −0.482475 | − | 0.350538i | 0.319808 | − | 0.947482i | \(-0.396381\pi\) |
−0.802283 | + | 0.596944i | \(0.796381\pi\) | |||||||
\(234\) | −10.1175 | + | 1.12512i | −0.661400 | + | 0.0735513i | ||||
\(235\) | −11.8462 | − | 36.4587i | −0.772759 | − | 2.37831i | ||||
\(236\) | −6.03890 | + | 13.5636i | −0.393099 | + | 0.882914i | ||||
\(237\) | −3.43686 | − | 2.62802i | −0.223248 | − | 0.170709i | ||||
\(238\) | −0.342157 | + | 1.60972i | −0.0221787 | + | 0.104343i | ||||
\(239\) | 0.987562 | − | 3.03940i | 0.0638800 | − | 0.196603i | −0.914023 | − | 0.405663i | \(-0.867041\pi\) |
0.977903 | + | 0.209061i | \(0.0670406\pi\) | |||||||
\(240\) | 2.81127 | − | 0.525929i | 0.181466 | − | 0.0339486i | ||||
\(241\) | 22.2372 | + | 12.8386i | 1.43242 | + | 0.827009i | 0.997305 | − | 0.0733660i | \(-0.0233741\pi\) |
0.435116 | + | 0.900375i | \(0.356707\pi\) | |||||||
\(242\) | 3.70623 | + | 9.66623i | 0.238245 | + | 0.621369i | ||||
\(243\) | −1.90467 | + | 15.4717i | −0.122184 | + | 0.992507i | ||||
\(244\) | −5.11907 | − | 0.538036i | −0.327715 | − | 0.0344443i | ||||
\(245\) | 4.33402 | + | 20.3900i | 0.276891 | + | 1.30267i | ||||
\(246\) | −6.41466 | + | 0.515702i | −0.408984 | + | 0.0328799i | ||||
\(247\) | −14.9412 | − | 9.64639i | −0.950687 | − | 0.613785i | ||||
\(248\) | 13.3350 | − | 9.68847i | 0.846776 | − | 0.615219i | ||||
\(249\) | 2.22684 | + | 3.22842i | 0.141120 | + | 0.204593i | ||||
\(250\) | 0.174856 | + | 0.822635i | 0.0110589 | + | 0.0520280i | ||||
\(251\) | −8.25072 | − | 18.5314i | −0.520781 | − | 1.16969i | −0.962188 | − | 0.272386i | \(-0.912187\pi\) |
0.441407 | − | 0.897307i | \(-0.354479\pi\) | |||||||
\(252\) | 0.841401 | − | 1.66517i | 0.0530033 | − | 0.104896i | ||||
\(253\) | 3.66862 | − | 3.48005i | 0.230644 | − | 0.218789i | ||||
\(254\) | −7.21126 | − | 4.16342i | −0.452475 | − | 0.261236i | ||||
\(255\) | 11.0058 | + | 12.8423i | 0.689207 | + | 0.804215i | ||||
\(256\) | −11.3083 | − | 12.5592i | −0.706770 | − | 0.784948i | ||||
\(257\) | 10.6892 | + | 9.62463i | 0.666776 | + | 0.600368i | 0.931406 | − | 0.363982i | \(-0.118583\pi\) |
−0.264630 | + | 0.964350i | \(0.585250\pi\) | |||||||
\(258\) | 11.4027 | + | 8.71917i | 0.709901 | + | 0.542832i | ||||
\(259\) | −0.252266 | − | 0.347214i | −0.0156750 | − | 0.0215749i | ||||
\(260\) | 9.70981 | − | 7.90582i | 0.602177 | − | 0.490298i | ||||
\(261\) | −4.84210 | + | 4.87478i | −0.299718 | + | 0.301741i | ||||
\(262\) | −0.406882 | + | 3.87122i | −0.0251372 | + | 0.239165i | ||||
\(263\) | 0.478873 | + | 0.829433i | 0.0295286 | + | 0.0511450i | 0.880412 | − | 0.474209i | \(-0.157266\pi\) |
−0.850883 | + | 0.525354i | \(0.823933\pi\) | |||||||
\(264\) | −16.7473 | − | 1.73501i | −1.03072 | − | 0.106783i | ||||
\(265\) | −33.2528 | −2.04270 | ||||||||
\(266\) | −2.36685 | + | 1.05379i | −0.145121 | + | 0.0646121i | ||||
\(267\) | −4.75973 | − | 8.73129i | −0.291291 | − | 0.534346i | ||||
\(268\) | −1.43792 | − | 4.42546i | −0.0878350 | − | 0.270328i | ||||
\(269\) | −14.0726 | + | 1.47909i | −0.858021 | + | 0.0901817i | −0.523313 | − | 0.852140i | \(-0.675304\pi\) |
−0.334708 | + | 0.942322i | \(0.608638\pi\) | |||||||
\(270\) | 6.63073 | + | 13.7230i | 0.403534 | + | 0.835155i | ||||
\(271\) | −17.7110 | − | 15.9470i | −1.07587 | − | 0.968713i | −0.0762677 | − | 0.997087i | \(-0.524300\pi\) |
−0.999597 | + | 0.0283741i | \(0.990967\pi\) | |||||||
\(272\) | −0.512967 | + | 1.57875i | −0.0311032 | + | 0.0957257i | ||||
\(273\) | 0.106388 | + | 3.48377i | 0.00643891 | + | 0.210847i | ||||
\(274\) | − | 3.25310i | − | 0.196527i | ||||||
\(275\) | −1.22950 | + | 15.5837i | −0.0741416 | + | 0.939734i | ||||
\(276\) | 0.840466 | + | 2.81994i | 0.0505901 | + | 0.169740i | ||||
\(277\) | 6.59024 | + | 14.8019i | 0.395969 | + | 0.889361i | 0.995997 | + | 0.0893824i | \(0.0284893\pi\) |
−0.600028 | + | 0.799979i | \(0.704844\pi\) | |||||||
\(278\) | −13.6354 | − | 4.43040i | −0.817795 | − | 0.265718i | ||||
\(279\) | 13.1472 | + | 10.5734i | 0.787103 | + | 0.633011i | ||||
\(280\) | −0.532896 | − | 5.07017i | −0.0318467 | − | 0.303001i | ||||
\(281\) | −7.04784 | + | 5.12056i | −0.420439 | + | 0.305467i | −0.777814 | − | 0.628494i | \(-0.783672\pi\) |
0.357375 | + | 0.933961i | \(0.383672\pi\) | |||||||
\(282\) | 18.1116 | + | 8.60144i | 1.07853 | + | 0.512208i | ||||
\(283\) | 6.79406 | + | 31.9635i | 0.403865 | + | 1.90003i | 0.434827 | + | 0.900514i | \(0.356810\pi\) |
−0.0309622 | + | 0.999521i | \(0.509857\pi\) | |||||||
\(284\) | 12.5356 | + | 1.31754i | 0.743850 | + | 0.0781817i | ||||
\(285\) | −6.17232 | + | 25.9014i | −0.365616 | + | 1.53426i | ||||
\(286\) | 10.3869 | − | 4.33252i | 0.614189 | − | 0.256187i | ||||
\(287\) | 2.20335i | 0.130060i | ||||||||
\(288\) | 8.71765 | − | 13.5234i | 0.513692 | − | 0.796872i | ||||
\(289\) | 7.02653 | − | 1.49353i | 0.413325 | − | 0.0878550i | ||||
\(290\) | −1.39670 | + | 6.57095i | −0.0820170 | + | 0.385860i | ||||
\(291\) | 12.0546 | + | 28.9645i | 0.706652 | + | 1.69793i | ||||
\(292\) | 14.5137 | − | 1.52545i | 0.849348 | − | 0.0892700i | ||||
\(293\) | 8.72342 | + | 1.85422i | 0.509628 | + | 0.108325i | 0.455547 | − | 0.890212i | \(-0.349444\pi\) |
0.0540810 | + | 0.998537i | \(0.482777\pi\) | |||||||
\(294\) | −9.30574 | − | 5.68106i | −0.542722 | − | 0.331326i | ||||
\(295\) | −37.9370 | + | 16.8906i | −2.20878 | + | 0.983411i | ||||
\(296\) | −1.12693 | − | 1.95190i | −0.0655014 | − | 0.113452i | ||||
\(297\) | −2.77850 | − | 17.0082i | −0.161225 | − | 0.986918i | ||||
\(298\) | 14.2602 | 0.826073 | ||||||||
\(299\) | −3.89742 | − | 3.87668i | −0.225393 | − | 0.224194i | ||||
\(300\) | −7.76408 | − | 4.73989i | −0.448259 | − | 0.273658i | ||||
\(301\) | 3.28854 | − | 3.65229i | 0.189548 | − | 0.210515i | ||||
\(302\) | 4.01850 | − | 9.02569i | 0.231238 | − | 0.519370i | ||||
\(303\) | −7.33739 | − | 0.953435i | −0.421522 | − | 0.0547734i | ||||
\(304\) | −2.48547 | + | 0.807577i | −0.142551 | + | 0.0463177i | ||||
\(305\) | −9.63333 | − | 10.6989i | −0.551603 | − | 0.612617i | ||||
\(306\) | −8.83540 | − | 0.433248i | −0.505086 | − | 0.0247671i | ||||
\(307\) | − | 19.4668i | − | 1.11103i | −0.831506 | − | 0.555516i | \(-0.812521\pi\) | ||
0.831506 | − | 0.555516i | \(-0.187479\pi\) | |||||||
\(308\) | −0.376267 | + | 2.02797i | −0.0214398 | + | 0.115554i | ||||
\(309\) | −4.99272 | + | 1.48805i | −0.284026 | + | 0.0846521i | ||||
\(310\) | 16.4050 | + | 1.72423i | 0.931741 | + | 0.0979299i | ||||
\(311\) | −13.8222 | − | 4.49112i | −0.783787 | − | 0.254668i | −0.110331 | − | 0.993895i | \(-0.535191\pi\) |
−0.673456 | + | 0.739227i | \(0.735191\pi\) | |||||||
\(312\) | −1.35672 | + | 18.2533i | −0.0768093 | + | 1.03339i | ||||
\(313\) | 8.63291 | − | 6.27218i | 0.487961 | − | 0.354525i | −0.316439 | − | 0.948613i | \(-0.602487\pi\) |
0.804400 | + | 0.594088i | \(0.202487\pi\) | |||||||
\(314\) | −4.92867 | − | 2.19439i | −0.278141 | − | 0.123836i | ||||
\(315\) | 4.86532 | − | 1.88642i | 0.274130 | − | 0.106288i | ||||
\(316\) | −2.06844 | + | 1.86243i | −0.116359 | + | 0.104770i | ||||
\(317\) | −5.02072 | + | 6.91043i | −0.281992 | + | 0.388128i | −0.926392 | − | 0.376560i | \(-0.877107\pi\) |
0.644401 | + | 0.764688i | \(0.277107\pi\) | |||||||
\(318\) | 11.9508 | − | 12.6360i | 0.670165 | − | 0.708589i | ||||
\(319\) | 3.62583 | − | 6.67486i | 0.203007 | − | 0.373720i | ||||
\(320\) | − | 19.0335i | − | 1.06401i | ||||||
\(321\) | −5.65055 | − | 30.2041i | −0.315383 | − | 1.68583i | ||||
\(322\) | −0.783317 | + | 0.166499i | −0.0436525 | + | 0.00927863i | ||||
\(323\) | −11.4848 | − | 10.3410i | −0.639033 | − | 0.575388i | ||||
\(324\) | 9.55832 | + | 3.03475i | 0.531018 | + | 0.168597i | ||||
\(325\) | 16.9730 | + | 0.844131i | 0.941491 | + | 0.0468240i | ||||
\(326\) | −0.742371 | − | 2.28478i | −0.0411161 | − | 0.126542i | ||||
\(327\) | 14.5355 | + | 0.356162i | 0.803812 | + | 0.0196958i | ||||
\(328\) | −1.20950 | + | 11.5076i | −0.0667832 | + | 0.635400i | ||||
\(329\) | 3.43243 | − | 5.94515i | 0.189236 | − | 0.327767i | ||||
\(330\) | −11.2932 | − | 12.5049i | −0.621668 | − | 0.688369i | ||||
\(331\) | 8.77762 | − | 15.2033i | 0.482462 | − | 0.835649i | −0.517335 | − | 0.855783i | \(-0.673076\pi\) |
0.999797 | + | 0.0201342i | \(0.00640935\pi\) | |||||||
\(332\) | 2.30496 | − | 1.02623i | 0.126501 | − | 0.0563220i | ||||
\(333\) | 1.62578 | − | 1.63675i | 0.0890920 | − | 0.0896934i | ||||
\(334\) | 8.99540 | + | 1.91203i | 0.492206 | + | 0.104622i | ||||
\(335\) | 5.29364 | − | 11.8897i | 0.289222 | − | 0.649604i | ||||
\(336\) | 0.406851 | + | 0.311102i | 0.0221955 | + | 0.0169720i | ||||
\(337\) | −16.1395 | + | 5.24404i | −0.879174 | + | 0.285661i | −0.713614 | − | 0.700539i | \(-0.752943\pi\) |
−0.165560 | + | 0.986200i | \(0.552943\pi\) | |||||||
\(338\) | −5.03583 | − | 11.1502i | −0.273913 | − | 0.606491i | ||||
\(339\) | −9.62023 | − | 11.2256i | −0.522499 | − | 0.609689i | ||||
\(340\) | 9.42293 | − | 5.44033i | 0.511030 | − | 0.295043i | ||||
\(341\) | −17.2309 | − | 7.14117i | −0.933105 | − | 0.386716i | ||||
\(342\) | −7.62417 | − | 11.6542i | −0.412268 | − | 0.630186i | ||||
\(343\) | −4.49050 | + | 6.18064i | −0.242464 | + | 0.333723i | ||||
\(344\) | 19.1802 | − | 17.2699i | 1.03412 | − | 0.931130i | ||||
\(345\) | −3.53068 | + | 7.43437i | −0.190085 | + | 0.400253i | ||||
\(346\) | −11.2500 | + | 8.17358i | −0.604802 | + | 0.439415i | ||||
\(347\) | −2.48625 | − | 23.6551i | −0.133469 | − | 1.26987i | −0.832195 | − | 0.554483i | \(-0.812916\pi\) |
0.698726 | − | 0.715390i | \(-0.253751\pi\) | |||||||
\(348\) | 2.50979 | + | 3.63864i | 0.134539 | + | 0.195051i | ||||
\(349\) | −2.47090 | − | 11.6247i | −0.132264 | − | 0.622255i | −0.993479 | − | 0.114014i | \(-0.963629\pi\) |
0.861215 | − | 0.508241i | \(-0.169704\pi\) | |||||||
\(350\) | 1.45515 | − | 2.00285i | 0.0777813 | − | 0.107057i | ||||
\(351\) | −18.3944 | + | 3.55615i | −0.981820 | + | 0.189813i | ||||
\(352\) | −5.05532 | + | 17.0544i | −0.269450 | + | 0.909001i | ||||
\(353\) | −10.7437 | + | 6.20285i | −0.571827 | + | 0.330145i | −0.757879 | − | 0.652395i | \(-0.773764\pi\) |
0.186052 | + | 0.982540i | \(0.440431\pi\) | |||||||
\(354\) | 7.21583 | − | 20.4863i | 0.383517 | − | 1.08883i | ||||
\(355\) | 23.5901 | + | 26.1994i | 1.25203 | + | 1.39052i | ||||
\(356\) | −6.08439 | + | 1.97694i | −0.322472 | + | 0.104778i | ||||
\(357\) | −0.390276 | + | 3.00347i | −0.0206556 | + | 0.158960i | ||||
\(358\) | 4.42114 | − | 0.464681i | 0.233665 | − | 0.0245591i | ||||
\(359\) | −0.599927 | − | 1.84639i | −0.0316629 | − | 0.0974485i | 0.933976 | − | 0.357335i | \(-0.116315\pi\) |
−0.965639 | + | 0.259887i | \(0.916315\pi\) | |||||||
\(360\) | 26.4460 | − | 7.18161i | 1.39383 | − | 0.378504i | ||||
\(361\) | 0.557162 | − | 5.30104i | 0.0293243 | − | 0.279002i | ||||
\(362\) | 5.01497 | + | 8.68619i | 0.263581 | + | 0.456536i | ||||
\(363\) | 8.22460 | + | 17.1859i | 0.431679 | + | 0.902027i | ||||
\(364\) | 2.21558 | + | 0.344859i | 0.116128 | + | 0.0180755i | ||||
\(365\) | 33.0224 | + | 23.9922i | 1.72847 | + | 1.25581i | ||||
\(366\) | 7.52768 | + | 0.184451i | 0.393478 | + | 0.00964140i | ||||
\(367\) | 21.1659 | − | 23.5071i | 1.10485 | − | 1.22706i | 0.133089 | − | 0.991104i | \(-0.457510\pi\) |
0.971763 | − | 0.235958i | \(-0.0758229\pi\) | |||||||
\(368\) | −0.803356 | + | 0.0844361i | −0.0418778 | + | 0.00440153i | ||||
\(369\) | −11.6915 | + | 1.89209i | −0.608637 | + | 0.0984983i | ||||
\(370\) | 0.468954 | − | 2.20626i | 0.0243798 | − | 0.114698i | ||||
\(371\) | −3.98452 | − | 4.42525i | −0.206866 | − | 0.229748i | ||||
\(372\) | 8.24150 | − | 7.06291i | 0.427302 | − | 0.366195i | ||||
\(373\) | −0.624044 | − | 0.360292i | −0.0323118 | − | 0.0186552i | 0.483757 | − | 0.875202i | \(-0.339272\pi\) |
−0.516069 | + | 0.856547i | \(0.672605\pi\) | |||||||
\(374\) | 9.50987 | − | 2.28117i | 0.491744 | − | 0.117957i | ||||
\(375\) | 0.442095 | + | 1.48332i | 0.0228297 | + | 0.0765984i | ||||
\(376\) | 21.1903 | − | 29.1660i | 1.09281 | − | 1.50412i | ||||
\(377\) | −7.36773 | − | 3.72933i | −0.379457 | − | 0.192070i | ||||
\(378\) | −1.03172 | + | 2.52677i | −0.0530659 | + | 0.129963i | ||||
\(379\) | 8.98242 | + | 3.99923i | 0.461396 | + | 0.205427i | 0.624252 | − | 0.781223i | \(-0.285404\pi\) |
−0.162856 | + | 0.986650i | \(0.552071\pi\) | |||||||
\(380\) | 15.6488 | + | 6.96728i | 0.802765 | + | 0.357414i | ||||
\(381\) | −13.8430 | − | 6.57419i | −0.709196 | − | 0.336806i | ||||
\(382\) | −2.36694 | − | 0.769064i | −0.121103 | − | 0.0393488i | ||||
\(383\) | 12.0277 | + | 27.0147i | 0.614587 | + | 1.38039i | 0.905791 | + | 0.423725i | \(0.139278\pi\) |
−0.291203 | + | 0.956661i | \(0.594056\pi\) | |||||||
\(384\) | −6.26538 | − | 5.92563i | −0.319729 | − | 0.302391i | ||||
\(385\) | −4.57752 | + | 3.51104i | −0.233292 | + | 0.178939i | ||||
\(386\) | −11.1765 | − | 6.45275i | −0.568868 | − | 0.328436i | ||||
\(387\) | 22.2040 | + | 14.3135i | 1.12869 | + | 0.727595i | ||||
\(388\) | 19.7420 | − | 4.19629i | 1.00225 | − | 0.213035i | ||||
\(389\) | −2.59292 | + | 0.842489i | −0.131466 | + | 0.0427159i | −0.374011 | − | 0.927424i | \(-0.622018\pi\) |
0.242545 | + | 0.970140i | \(0.422018\pi\) | |||||||
\(390\) | −13.2320 | + | 12.6665i | −0.670028 | + | 0.641394i | ||||
\(391\) | −2.80777 | − | 3.86457i | −0.141995 | − | 0.195440i | ||||
\(392\) | −13.1174 | + | 14.5683i | −0.662527 | + | 0.735810i | ||||
\(393\) | −0.175483 | + | 7.16169i | −0.00885194 | + | 0.361260i | ||||
\(394\) | 17.1414 | − | 7.63185i | 0.863572 | − | 0.384487i | ||||
\(395\) | −7.78499 | −0.391705 | ||||||||
\(396\) | −11.0840 | − | 0.255085i | −0.556993 | − | 0.0128185i | ||||
\(397\) | 10.5619 | − | 18.2938i | 0.530088 | − | 0.918139i | −0.469296 | − | 0.883041i | \(-0.655492\pi\) |
0.999384 | − | 0.0350984i | \(-0.0111745\pi\) | |||||||
\(398\) | 0.192988 | + | 0.140214i | 0.00967361 | + | 0.00702829i | ||||
\(399\) | −4.18653 | + | 2.28223i | −0.209589 | + | 0.114254i | ||||
\(400\) | 1.67094 | − | 1.85577i | 0.0835472 | − | 0.0927885i | ||||
\(401\) | 9.83796 | − | 22.0964i | 0.491284 | − | 1.10344i | −0.482485 | − | 0.875904i | \(-0.660266\pi\) |
0.973769 | − | 0.227538i | \(-0.0730677\pi\) | |||||||
\(402\) | 2.61557 | + | 6.28462i | 0.130453 | + | 0.313448i | ||||
\(403\) | −7.21609 | + | 18.9495i | −0.359459 | + | 0.943940i | ||||
\(404\) | −1.47094 | + | 4.52708i | −0.0731818 | + | 0.225230i | ||||
\(405\) | 14.1879 | + | 24.1967i | 0.705000 | + | 1.20234i | ||||
\(406\) | −1.04182 | + | 0.601493i | −0.0517045 | + | 0.0298516i | ||||
\(407\) | −1.21740 | + | 2.24114i | −0.0603444 | + | 0.111089i | ||||
\(408\) | −3.68703 | + | 15.4722i | −0.182535 | + | 0.765986i | ||||
\(409\) | 3.46644 | + | 7.78576i | 0.171405 | + | 0.384981i | 0.978738 | − | 0.205115i | \(-0.0657567\pi\) |
−0.807333 | + | 0.590096i | \(0.799090\pi\) | |||||||
\(410\) | −8.60535 | + | 7.74829i | −0.424988 | + | 0.382661i | ||||
\(411\) | −0.479772 | − | 5.96775i | −0.0236654 | − | 0.294367i | ||||
\(412\) | 0.350337 | + | 3.33323i | 0.0172598 | + | 0.164216i | ||||
\(413\) | −6.79360 | − | 3.02471i | −0.334291 | − | 0.148836i | ||||
\(414\) | −1.55615 | − | 4.01349i | −0.0764804 | − | 0.197252i | ||||
\(415\) | 6.71163 | + | 2.18074i | 0.329461 | + | 0.107048i | ||||
\(416\) | 18.6918 | + | 4.95506i | 0.916441 | + | 0.242942i | ||||
\(417\) | −25.6672 | − | 6.11652i | −1.25693 | − | 0.299527i | ||||
\(418\) | 11.7055 | + | 10.0014i | 0.572537 | + | 0.489184i | ||||
\(419\) | −0.0885091 | + | 0.0511008i | −0.00432395 | + | 0.00249644i | −0.502160 | − | 0.864774i | \(-0.667461\pi\) |
0.497836 | + | 0.867271i | \(0.334128\pi\) | |||||||
\(420\) | −0.617324 | − | 3.29980i | −0.0301223 | − | 0.161014i | ||||
\(421\) | −2.87161 | + | 8.83790i | −0.139954 | + | 0.430733i | −0.996328 | − | 0.0856231i | \(-0.972712\pi\) |
0.856374 | + | 0.516356i | \(0.172712\pi\) | |||||||
\(422\) | 2.99048 | − | 14.0691i | 0.145574 | − | 0.684874i | ||||
\(423\) | 34.4940 | + | 13.1081i | 1.67716 | + | 0.637335i | ||||
\(424\) | −18.3810 | − | 25.2993i | −0.892661 | − | 1.22864i | ||||
\(425\) | 14.4446 | + | 3.07029i | 0.700665 | + | 0.148931i | ||||
\(426\) | −18.4338 | − | 0.451683i | −0.893119 | − | 0.0218841i | ||||
\(427\) | 0.269486 | − | 2.56399i | 0.0130414 | − | 0.124080i | ||||
\(428\) | −19.7683 | −0.955536 | ||||||||
\(429\) | 18.4156 | − | 9.47980i | 0.889112 | − | 0.457689i | ||||
\(430\) | 25.8288 | 1.24557 | ||||||||
\(431\) | −3.36004 | + | 31.9686i | −0.161847 | + | 1.53987i | 0.548576 | + | 0.836100i | \(0.315170\pi\) |
−0.710424 | + | 0.703774i | \(0.751497\pi\) | |||||||
\(432\) | −1.30141 | + | 2.42600i | −0.0626140 | + | 0.116721i | ||||
\(433\) | 9.75826 | + | 2.07418i | 0.468952 | + | 0.0996789i | 0.436326 | − | 0.899789i | \(-0.356280\pi\) |
0.0326264 | + | 0.999468i | \(0.489613\pi\) | |||||||
\(434\) | 1.73627 | + | 2.38977i | 0.0833436 | + | 0.114713i | ||||
\(435\) | −1.59312 | + | 12.2603i | −0.0763845 | + | 0.587836i | ||||
\(436\) | 1.94478 | − | 9.14949i | 0.0931383 | − | 0.438181i | ||||
\(437\) | 2.32392 | − | 7.15228i | 0.111168 | − | 0.342140i | ||||
\(438\) | −20.9849 | + | 3.92584i | −1.00270 | + | 0.187584i | ||||
\(439\) | −9.00682 | + | 5.20009i | −0.429872 | + | 0.248187i | −0.699292 | − | 0.714836i | \(-0.746501\pi\) |
0.269420 | + | 0.963023i | \(0.413168\pi\) | |||||||
\(440\) | −25.8346 | + | 15.8246i | −1.23162 | + | 0.754409i | ||||
\(441\) | −17.9091 | − | 9.04938i | −0.852813 | − | 0.430923i | ||||
\(442\) | −2.77904 | − | 10.2619i | −0.132185 | − | 0.488111i | ||||
\(443\) | 5.70195 | + | 1.85268i | 0.270908 | + | 0.0880234i | 0.441321 | − | 0.897349i | \(-0.354510\pi\) |
−0.170413 | + | 0.985373i | \(0.554510\pi\) | |||||||
\(444\) | −0.842683 | − | 1.22170i | −0.0399920 | − | 0.0579795i | ||||
\(445\) | −16.3467 | − | 7.27801i | −0.774907 | − | 0.345011i | ||||
\(446\) | −1.80223 | − | 17.1470i | −0.0853379 | − | 0.811936i | ||||
\(447\) | 26.1601 | − | 2.10312i | 1.23733 | − | 0.0994743i | ||||
\(448\) | 2.53297 | − | 2.28070i | 0.119672 | − | 0.107753i | ||||
\(449\) | −4.23744 | − | 9.51746i | −0.199977 | − | 0.449157i | 0.785522 | − | 0.618833i | \(-0.212394\pi\) |
−0.985500 | + | 0.169677i | \(0.945728\pi\) | |||||||
\(450\) | 11.8772 | + | 6.00150i | 0.559896 | + | 0.282913i | ||||
\(451\) | 11.8192 | − | 5.63467i | 0.556545 | − | 0.265326i | ||||
\(452\) | −8.23667 | + | 4.75544i | −0.387420 | + | 0.223677i | ||||
\(453\) | 6.04073 | − | 17.1501i | 0.283818 | − | 0.805783i | ||||
\(454\) | −2.53269 | + | 7.79482i | −0.118865 | + | 0.365829i | ||||
\(455\) | 3.95979 | + | 4.86336i | 0.185638 | + | 0.227998i | ||||
\(456\) | −23.1181 | + | 9.62141i | −1.08260 | + | 0.450564i | ||||
\(457\) | 13.8480 | − | 31.1032i | 0.647783 | − | 1.45494i | −0.228693 | − | 0.973499i | \(-0.573445\pi\) |
0.876476 | − | 0.481446i | \(-0.159888\pi\) | |||||||
\(458\) | −14.1088 | + | 15.6694i | −0.659259 | + | 0.732181i | ||||
\(459\) | −16.2723 | + | 0.508274i | −0.759525 | + | 0.0237242i | ||||
\(460\) | 4.28351 | + | 3.11215i | 0.199720 | + | 0.145105i | ||||
\(461\) | 3.92209 | − | 6.79327i | 0.182670 | − | 0.316394i | −0.760119 | − | 0.649784i | \(-0.774859\pi\) |
0.942789 | + | 0.333390i | \(0.108193\pi\) | |||||||
\(462\) | 0.310932 | − | 3.00128i | 0.0144659 | − | 0.139632i | ||||
\(463\) | 21.9684 | 1.02096 | 0.510479 | − | 0.859890i | \(-0.329468\pi\) | ||||
0.510479 | + | 0.859890i | \(0.329468\pi\) | |||||||
\(464\) | −1.10854 | + | 0.493554i | −0.0514627 | + | 0.0229127i | ||||
\(465\) | 30.3490 | + | 0.743641i | 1.40740 | + | 0.0344855i | ||||
\(466\) | 5.73263 | − | 6.36673i | 0.265559 | − | 0.294933i | ||||
\(467\) | −12.9207 | − | 17.7838i | −0.597897 | − | 0.822935i | 0.397616 | − | 0.917552i | \(-0.369837\pi\) |
−0.995514 | + | 0.0946167i | \(0.969837\pi\) | |||||||
\(468\) | 0.0726856 | + | 12.0526i | 0.00335989 | + | 0.557130i | ||||
\(469\) | 2.21658 | − | 0.720212i | 0.102352 | − | 0.0332563i | ||||
\(470\) | 35.2897 | − | 7.50106i | 1.62779 | − | 0.345998i | ||||
\(471\) | −9.36519 | − | 3.29867i | −0.431525 | − | 0.151995i | ||||
\(472\) | −33.8210 | − | 19.5266i | −1.55674 | − | 0.898783i | ||||
\(473\) | −28.0015 | − | 8.30031i | −1.28751 | − | 0.381649i | ||||
\(474\) | 2.79786 | − | 2.95827i | 0.128510 | − | 0.135878i | ||||
\(475\) | 9.45603 | + | 21.2386i | 0.433872 | + | 0.974494i | ||||
\(476\) | 1.85310 | + | 0.602108i | 0.0849366 | + | 0.0275976i | ||||
\(477\) | 20.0599 | − | 24.9430i | 0.918478 | − | 1.14206i | ||||
\(478\) | 2.74764 | + | 1.22333i | 0.125674 | + | 0.0559538i | ||||
\(479\) | 11.0778 | + | 4.93215i | 0.506157 | + | 0.225356i | 0.643896 | − | 0.765113i | \(-0.277317\pi\) |
−0.137739 | + | 0.990469i | \(0.543983\pi\) | |||||||
\(480\) | −2.32004 | − | 28.8583i | −0.105895 | − | 1.31720i | ||||
\(481\) | 2.47378 | + | 1.25216i | 0.112795 | + | 0.0570934i | ||||
\(482\) | −14.2042 | + | 19.5503i | −0.646982 | + | 0.890494i | ||||
\(483\) | −1.41242 | + | 0.420964i | −0.0642675 | + | 0.0191545i | ||||
\(484\) | 11.8407 | − | 3.16778i | 0.538212 | − | 0.143990i | ||||
\(485\) | 48.8884 | + | 28.2258i | 2.21991 | + | 1.28167i | ||||
\(486\) | −14.2937 | − | 3.30473i | −0.648374 | − | 0.149906i | ||||
\(487\) | −8.77696 | − | 9.74780i | −0.397722 | − | 0.441715i | 0.510707 | − | 0.859755i | \(-0.329384\pi\) |
−0.908429 | + | 0.418040i | \(0.862717\pi\) | |||||||
\(488\) | 2.81493 | − | 13.2432i | 0.127426 | − | 0.599492i | ||||
\(489\) | −1.69883 | − | 4.08191i | −0.0768237 | − | 0.184590i | ||||
\(490\) | −19.5108 | + | 2.05067i | −0.881408 | + | 0.0926397i | ||||
\(491\) | 3.68883 | − | 4.09686i | 0.166475 | − | 0.184889i | −0.654135 | − | 0.756378i | \(-0.726967\pi\) |
0.820610 | + | 0.571489i | \(0.193634\pi\) | |||||||
\(492\) | −0.186641 | + | 7.61708i | −0.00841444 | + | 0.343405i | ||||
\(493\) | −5.80536 | − | 4.21784i | −0.261460 | − | 0.189962i | ||||
\(494\) | 10.4986 | − | 13.0356i | 0.472354 | − | 0.586499i | ||||
\(495\) | −22.5613 | − | 21.2744i | −1.01406 | − | 0.956213i | ||||
\(496\) | 1.48980 | + | 2.58042i | 0.0668942 | + | 0.115864i | ||||
\(497\) | −0.659918 | + | 6.27870i | −0.0296014 | + | 0.281638i | ||||
\(498\) | −3.24078 | + | 1.76666i | −0.145223 | + | 0.0791660i | ||||
\(499\) | 1.98133 | + | 6.09791i | 0.0886966 | + | 0.272980i | 0.985560 | − | 0.169328i | \(-0.0541598\pi\) |
−0.896863 | + | 0.442308i | \(0.854160\pi\) | |||||||
\(500\) | 0.990292 | − | 0.104084i | 0.0442872 | − | 0.00465477i | ||||
\(501\) | 16.7839 | + | 2.18093i | 0.749849 | + | 0.0974368i | ||||
\(502\) | 18.1565 | − | 5.89942i | 0.810366 | − | 0.263304i | ||||
\(503\) | −7.10692 | − | 7.89303i | −0.316882 | − | 0.351933i | 0.563570 | − | 0.826068i | \(-0.309427\pi\) |
−0.880452 | + | 0.474135i | \(0.842761\pi\) | |||||||
\(504\) | 4.12461 | + | 2.65887i | 0.183725 | + | 0.118436i | ||||
\(505\) | −11.5300 | + | 6.65687i | −0.513080 | + | 0.296227i | ||||
\(506\) | 2.89632 | + | 3.77608i | 0.128757 | + | 0.167867i | ||||
\(507\) | −10.8826 | − | 19.7122i | −0.483313 | − | 0.875448i | ||||
\(508\) | −5.79489 | + | 7.97598i | −0.257107 | + | 0.353877i | ||||
\(509\) | 2.42418 | + | 11.4049i | 0.107450 | + | 0.505512i | 0.998652 | + | 0.0519057i | \(0.0165295\pi\) |
−0.891202 | + | 0.453607i | \(0.850137\pi\) | |||||||
\(510\) | −13.1027 | + | 9.03772i | −0.580197 | + | 0.400197i | ||||
\(511\) | 0.764051 | + | 7.26946i | 0.0337996 | + | 0.321582i | ||||
\(512\) | 4.81146 | − | 3.49573i | 0.212638 | − | 0.154491i | ||||
\(513\) | −15.7052 | − | 20.2550i | −0.693401 | − | 0.894279i | ||||
\(514\) | −10.0599 | + | 9.05800i | −0.443725 | + | 0.399531i | ||||
\(515\) | −5.51008 | + | 7.58398i | −0.242803 | + | 0.334190i | ||||
\(516\) | 11.6780 | − | 12.3476i | 0.514096 | − | 0.543572i | ||||
\(517\) | −40.6688 | − | 3.20862i | −1.78861 | − | 0.141115i | ||||
\(518\) | 0.349799 | − | 0.201957i | 0.0153693 | − | 0.00887347i | ||||
\(519\) | −19.4324 | + | 16.6535i | −0.852989 | + | 0.731006i | ||||
\(520\) | 18.0114 | + | 27.5738i | 0.789852 | + | 1.20919i | ||||
\(521\) | −33.5145 | + | 10.8895i | −1.46830 | + | 0.477078i | −0.930593 | − | 0.366056i | \(-0.880708\pi\) |
−0.537703 | + | 0.843134i | \(0.680708\pi\) | |||||||
\(522\) | −4.08632 | − | 5.01162i | −0.178853 | − | 0.219353i | ||||
\(523\) | −3.28718 | + | 7.38313i | −0.143738 | + | 0.322842i | −0.971040 | − | 0.238916i | \(-0.923208\pi\) |
0.827302 | + | 0.561758i | \(0.189875\pi\) | |||||||
\(524\) | 4.50800 | + | 0.958205i | 0.196933 | + | 0.0418594i | ||||
\(525\) | 2.37407 | − | 3.88880i | 0.103613 | − | 0.169721i | ||||
\(526\) | −0.823435 | + | 0.366617i | −0.0359035 | + | 0.0159852i | ||||
\(527\) | −8.81006 | + | 15.2595i | −0.383772 | + | 0.664713i | ||||
\(528\) | 0.628365 | − | 2.97801i | 0.0273461 | − | 0.129601i | ||||
\(529\) | −10.3377 | + | 17.9055i | −0.449467 | + | 0.778500i | ||||
\(530\) | 3.27123 | − | 31.1236i | 0.142093 | − | 1.35192i | ||||
\(531\) | 10.2159 | − | 38.6459i | 0.443334 | − | 1.67709i | ||||
\(532\) | 0.947915 | + | 2.91738i | 0.0410973 | + | 0.126485i | ||||
\(533\) | −6.49603 | − | 12.6656i | −0.281374 | − | 0.548606i | ||||
\(534\) | 8.64047 | − | 3.59604i | 0.373910 | − | 0.155616i | ||||
\(535\) | −41.0895 | − | 36.9971i | −1.77645 | − | 1.59953i | ||||
\(536\) | 11.9720 | − | 2.54474i | 0.517114 | − | 0.109916i | ||||
\(537\) | 8.04198 | − | 1.50449i | 0.347037 | − | 0.0649234i | ||||
\(538\) | − | 13.3170i | − | 0.574139i | ||||||
\(539\) | 21.8110 | + | 4.04680i | 0.939468 | + | 0.174308i | ||||
\(540\) | 16.9794 | − | 6.10932i | 0.730679 | − | 0.262903i | ||||
\(541\) | −14.1262 | + | 19.4431i | −0.607334 | + | 0.835923i | −0.996355 | − | 0.0853056i | \(-0.972813\pi\) |
0.389021 | + | 0.921229i | \(0.372813\pi\) | |||||||
\(542\) | 16.6683 | − | 15.0082i | 0.715964 | − | 0.644657i | ||||
\(543\) | 10.4809 | + | 15.1950i | 0.449780 | + | 0.652082i | ||||
\(544\) | 15.3510 | + | 6.83469i | 0.658167 | + | 0.293035i | ||||
\(545\) | 21.1660 | − | 15.3780i | 0.906651 | − | 0.658721i | ||||
\(546\) | −3.27118 | − | 0.243138i | −0.139993 | − | 0.0104053i | ||||
\(547\) | −9.04799 | − | 2.93987i | −0.386864 | − | 0.125700i | 0.109126 | − | 0.994028i | \(-0.465195\pi\) |
−0.495990 | + | 0.868328i | \(0.665195\pi\) | |||||||
\(548\) | −3.83052 | − | 0.402604i | −0.163632 | − | 0.0171984i | ||||
\(549\) | 13.8366 | − | 0.771824i | 0.590532 | − | 0.0329406i | ||||
\(550\) | −14.4650 | − | 2.68382i | −0.616788 | − | 0.114438i | ||||
\(551\) | − | 11.2971i | − | 0.481272i | ||||||
\(552\) | −7.60784 | + | 1.42327i | −0.323811 | + | 0.0605784i | ||||
\(553\) | −0.932837 | − | 1.03602i | −0.0396683 | − | 0.0440561i | ||||
\(554\) | −14.5025 | + | 4.71214i | −0.616152 | + | 0.200200i | ||||
\(555\) | 0.534905 | − | 4.11650i | 0.0227055 | − | 0.174736i | ||||
\(556\) | −6.90431 | + | 15.5073i | −0.292808 | + | 0.657657i | ||||
\(557\) | −2.43189 | + | 2.70088i | −0.103042 | + | 0.114440i | −0.792460 | − | 0.609924i | \(-0.791200\pi\) |
0.689417 | + | 0.724364i | \(0.257867\pi\) | |||||||
\(558\) | −11.1897 | + | 11.2653i | −0.473699 | + | 0.476896i | ||||
\(559\) | −8.13570 | + | 30.6900i | −0.344103 | + | 1.29805i | ||||
\(560\) | 0.921575 | 0.0389437 | ||||||||
\(561\) | 17.1092 | − | 5.58730i | 0.722353 | − | 0.235896i | ||||
\(562\) | −4.09937 | − | 7.10031i | −0.172921 | − | 0.299509i | ||||
\(563\) | −7.78968 | + | 3.46819i | −0.328296 | + | 0.146167i | −0.564265 | − | 0.825594i | \(-0.690840\pi\) |
0.235969 | + | 0.971761i | \(0.424174\pi\) | |||||||
\(564\) | 12.3697 | − | 20.2619i | 0.520858 | − | 0.853180i | ||||
\(565\) | −26.0204 | − | 5.53081i | −1.09469 | − | 0.232683i | ||||
\(566\) | −30.5853 | + | 3.21465i | −1.28560 | + | 0.135122i | ||||
\(567\) | −1.52002 | + | 4.78748i | −0.0638347 | + | 0.201055i | ||||
\(568\) | −6.89319 | + | 32.4299i | −0.289232 | + | 1.36073i | ||||
\(569\) | 6.87374 | − | 1.46106i | 0.288162 | − | 0.0612508i | −0.0615627 | − | 0.998103i | \(-0.519608\pi\) |
0.349725 | + | 0.936852i | \(0.386275\pi\) | |||||||
\(570\) | −23.6357 | − | 8.32515i | −0.989992 | − | 0.348702i | ||||
\(571\) | − | 16.6243i | − | 0.695704i | −0.937549 | − | 0.347852i | \(-0.886911\pi\) | ||
0.937549 | − | 0.347852i | \(-0.113089\pi\) | |||||||
\(572\) | −3.81605 | − | 12.7667i | −0.159557 | − | 0.533804i | ||||
\(573\) | −4.45553 | − | 1.06175i | −0.186132 | − | 0.0443554i | ||||
\(574\) | −2.06227 | − | 0.216754i | −0.0860776 | − | 0.00904712i | ||||
\(575\) | 1.49405 | + | 7.02897i | 0.0623064 | + | 0.293128i | ||||
\(576\) | 14.2771 | + | 11.4821i | 0.594879 | + | 0.478419i | ||||
\(577\) | 10.4075 | − | 7.56146i | 0.433268 | − | 0.314788i | −0.349686 | − | 0.936867i | \(-0.613712\pi\) |
0.782954 | + | 0.622079i | \(0.213712\pi\) | |||||||
\(578\) | 0.706674 | + | 6.72356i | 0.0293938 | + | 0.279663i | ||||
\(579\) | −21.4547 | − | 10.1891i | −0.891628 | − | 0.423446i | ||||
\(580\) | 7.56443 | + | 2.45783i | 0.314096 | + | 0.102056i | ||||
\(581\) | 0.514011 | + | 1.15449i | 0.0213248 | + | 0.0478962i | ||||
\(582\) | −28.2958 | + | 8.43338i | −1.17290 | + | 0.349575i | ||||
\(583\) | −13.5483 | + | 32.6905i | −0.561112 | + | 1.35390i | ||||
\(584\) | 38.3861i | 1.58843i | ||||||||
\(585\) | −22.4058 | + | 25.1880i | −0.926365 | + | 1.04139i | ||||
\(586\) | −2.59366 | + | 7.98247i | −0.107143 | + | 0.329753i | ||||
\(587\) | 30.7275 | + | 27.6672i | 1.26826 | + | 1.14195i | 0.983021 | + | 0.183491i | \(0.0587397\pi\) |
0.285239 | + | 0.958456i | \(0.407927\pi\) | |||||||
\(588\) | −7.84112 | + | 10.2544i | −0.323362 | + | 0.422885i | ||||
\(589\) | −27.5879 | + | 2.89960i | −1.13674 | + | 0.119476i | ||||
\(590\) | −12.0771 | − | 37.1696i | −0.497207 | − | 1.53025i | ||||
\(591\) | 30.3200 | − | 16.5285i | 1.24720 | − | 0.679893i | ||||
\(592\) | 0.372202 | − | 0.165715i | 0.0152974 | − | 0.00681085i | ||||
\(593\) | 31.4863 | 1.29299 | 0.646493 | − | 0.762920i | \(-0.276235\pi\) | ||||
0.646493 | + | 0.762920i | \(0.276235\pi\) | |||||||
\(594\) | 16.1926 | − | 0.927419i | 0.664388 | − | 0.0380525i | ||||
\(595\) | 2.72490 | + | 4.71967i | 0.111710 | + | 0.193487i | ||||
\(596\) | 1.76485 | − | 16.7914i | 0.0722910 | − | 0.687802i | ||||
\(597\) | 0.374712 | + | 0.228758i | 0.0153359 | + | 0.00936243i | ||||
\(598\) | 4.01187 | − | 3.26650i | 0.164058 | − | 0.133577i | ||||
\(599\) | 9.89370 | + | 13.6175i | 0.404246 | + | 0.556396i | 0.961803 | − | 0.273742i | \(-0.0882614\pi\) |
−0.557557 | + | 0.830138i | \(0.688261\pi\) | |||||||
\(600\) | 14.5339 | − | 19.0071i | 0.593344 | − | 0.775960i | ||||
\(601\) | −25.1747 | − | 22.6674i | −1.02690 | − | 0.924622i | −0.0297081 | − | 0.999559i | \(-0.509458\pi\) |
−0.997188 | + | 0.0749369i | \(0.976124\pi\) | |||||||
\(602\) | 3.09493 | + | 3.43727i | 0.126140 | + | 0.140093i | ||||
\(603\) | 5.72508 | + | 11.1433i | 0.233143 | + | 0.453789i | ||||
\(604\) | −10.1304 | − | 5.84879i | −0.412200 | − | 0.237984i | ||||
\(605\) | 30.5401 | + | 15.5759i | 1.24163 | + | 0.633249i | ||||
\(606\) | 1.61420 | − | 6.77380i | 0.0655724 | − | 0.275167i | ||||
\(607\) | −16.2168 | − | 36.4236i | −0.658221 | − | 1.47839i | −0.865913 | − | 0.500195i | \(-0.833262\pi\) |
0.207692 | − | 0.978194i | \(-0.433405\pi\) | |||||||
\(608\) | 5.50021 | + | 25.8764i | 0.223063 | + | 1.04943i | ||||
\(609\) | −1.82249 | + | 1.25708i | −0.0738508 | + | 0.0509394i | ||||
\(610\) | 10.9615 | − | 7.96402i | 0.443820 | − | 0.322454i | ||||
\(611\) | −2.20293 | + | 44.2943i | −0.0891209 | + | 1.79196i | ||||
\(612\) | −1.60362 | + | 10.3501i | −0.0648224 | + | 0.418376i | ||||
\(613\) | 9.33841 | + | 43.9338i | 0.377175 | + | 1.77447i | 0.600398 | + | 0.799701i | \(0.295009\pi\) |
−0.223223 | + | 0.974767i | \(0.571658\pi\) | |||||||
\(614\) | 18.2204 | + | 1.91504i | 0.735316 | + | 0.0772848i | ||||
\(615\) | −14.6436 | + | 15.4832i | −0.590488 | + | 0.624344i | ||||
\(616\) | −5.20156 | − | 1.54187i | −0.209577 | − | 0.0621236i | ||||
\(617\) | −17.1702 | − | 9.91322i | −0.691246 | − | 0.399091i | 0.112833 | − | 0.993614i | \(-0.464008\pi\) |
−0.804079 | + | 0.594523i | \(0.797341\pi\) | |||||||
\(618\) | −0.901615 | − | 4.81943i | −0.0362683 | − | 0.193866i | ||||
\(619\) | −6.48896 | + | 19.9710i | −0.260813 | + | 0.802701i | 0.731815 | + | 0.681503i | \(0.238673\pi\) |
−0.992628 | + | 0.121197i | \(0.961327\pi\) | |||||||
\(620\) | 4.06057 | − | 19.1035i | 0.163076 | − | 0.767214i | ||||
\(621\) | −3.44664 | − | 7.13318i | −0.138309 | − | 0.286245i | ||||
\(622\) | 5.56331 | − | 12.4954i | 0.223069 | − | 0.501020i | ||||
\(623\) | −0.990190 | − | 3.04749i | −0.0396711 | − | 0.122095i | ||||
\(624\) | −3.25591 | − | 0.588814i | −0.130341 | − | 0.0235714i | ||||
\(625\) | 21.3188 | + | 15.4890i | 0.852750 | + | 0.619559i | ||||
\(626\) | 5.02132 | + | 8.69718i | 0.200692 | + | 0.347609i | ||||
\(627\) | 22.9486 | + | 16.6210i | 0.916480 | + | 0.663780i | ||||
\(628\) | −3.19386 | + | 5.53193i | −0.127449 | + | 0.220748i | ||||
\(629\) | 1.94920 | + | 1.41618i | 0.0777197 | + | 0.0564666i | ||||
\(630\) | 1.28701 | + | 4.73938i | 0.0512759 | + | 0.188821i | ||||
\(631\) | −32.4561 | − | 6.89877i | −1.29206 | − | 0.274636i | −0.489917 | − | 0.871769i | \(-0.662973\pi\) |
−0.802142 | + | 0.597134i | \(0.796306\pi\) | |||||||
\(632\) | −4.30328 | − | 5.92296i | −0.171175 | − | 0.235603i | ||||
\(633\) | 3.41105 | − | 26.2506i | 0.135577 | − | 1.04337i | ||||
\(634\) | −5.97405 | − | 5.37906i | −0.237260 | − | 0.213630i | ||||
\(635\) | −26.9724 | + | 5.73316i | −1.07037 | + | 0.227513i | ||||
\(636\) | −13.3998 | − | 15.6358i | −0.531337 | − | 0.620001i | ||||
\(637\) | 3.70900 | − | 23.8288i | 0.146956 | − | 0.944133i | ||||
\(638\) | 5.89079 | + | 4.05031i | 0.233219 | + | 0.160353i | ||||
\(639\) | −33.8830 | + | 1.89004i | −1.34039 | + | 0.0747688i | ||||
\(640\) | −15.4323 | − | 1.62200i | −0.610014 | − | 0.0641151i | ||||
\(641\) | 30.5213 | − | 27.4815i | 1.20552 | − | 1.08545i | 0.211374 | − | 0.977405i | \(-0.432206\pi\) |
0.994146 | − | 0.108049i | \(-0.0344603\pi\) | |||||||
\(642\) | 28.8260 | − | 2.31744i | 1.13767 | − | 0.0914622i | ||||
\(643\) | 4.97714 | + | 47.3543i | 0.196279 | + | 1.86747i | 0.440500 | + | 0.897753i | \(0.354801\pi\) |
−0.244220 | + | 0.969720i | \(0.578532\pi\) | |||||||
\(644\) | 0.0991091 | + | 0.942960i | 0.00390545 | + | 0.0371578i | ||||
\(645\) | 47.3824 | − | 3.80927i | 1.86568 | − | 0.149990i | ||||
\(646\) | 10.8087 | − | 9.73219i | 0.425262 | − | 0.382908i | ||||
\(647\) | −37.6953 | − | 3.96193i | −1.48195 | − | 0.155760i | −0.671257 | − | 0.741225i | \(-0.734245\pi\) |
−0.810697 | + | 0.585466i | \(0.800912\pi\) | |||||||
\(648\) | −10.5667 | + | 24.1695i | −0.415099 | + | 0.949467i | ||||
\(649\) | 1.14827 | + | 44.1774i | 0.0450736 | + | 1.73411i | ||||
\(650\) | −2.45979 | + | 15.8032i | −0.0964809 | + | 0.619851i | ||||
\(651\) | 3.53760 | + | 4.12792i | 0.138650 | + | 0.161786i | ||||
\(652\) | −2.78220 | + | 0.591376i | −0.108960 | + | 0.0231601i | ||||
\(653\) | 25.5402 | + | 22.9965i | 0.999467 | + | 0.899924i | 0.994981 | − | 0.100066i | \(-0.0319055\pi\) |
0.00448579 | + | 0.999990i | \(0.498572\pi\) | |||||||
\(654\) | −1.76328 | + | 13.5697i | −0.0689496 | + | 0.530618i | ||||
\(655\) | 7.57682 | + | 10.4286i | 0.296051 | + | 0.407479i | ||||
\(656\) | −2.04596 | − | 0.434882i | −0.0798813 | − | 0.0169793i | ||||
\(657\) | −37.9175 | + | 10.2968i | −1.47930 | + | 0.401716i | ||||
\(658\) | 5.22683 | + | 3.79751i | 0.203763 | + | 0.148042i | ||||
\(659\) | 1.35781 | − | 2.35180i | 0.0528929 | − | 0.0916131i | −0.838367 | − | 0.545107i | \(-0.816489\pi\) |
0.891260 | + | 0.453494i | \(0.149822\pi\) | |||||||
\(660\) | −16.1221 | + | 11.7501i | −0.627551 | + | 0.457371i | ||||
\(661\) | 3.43988 | + | 5.95804i | 0.133796 | + | 0.231741i | 0.925137 | − | 0.379634i | \(-0.123950\pi\) |
−0.791341 | + | 0.611375i | \(0.790617\pi\) | |||||||
\(662\) | 13.3664 | + | 9.71122i | 0.519498 | + | 0.377437i | ||||
\(663\) | −6.61154 | − | 18.4155i | −0.256771 | − | 0.715199i | ||||
\(664\) | 2.05082 | + | 6.31177i | 0.0795872 | + | 0.244944i | ||||
\(665\) | −3.48971 | + | 7.83801i | −0.135325 | + | 0.303945i | ||||
\(666\) | 1.37202 | + | 1.68270i | 0.0531646 | + | 0.0652031i | ||||
\(667\) | 0.726001 | − | 3.41556i | 0.0281109 | − | 0.132251i | ||||
\(668\) | 3.36469 | − | 10.3554i | 0.130184 | − | 0.400664i | ||||
\(669\) | −5.83503 | − | 31.1902i | −0.225595 | − | 1.20588i | ||||
\(670\) | 10.6077 | + | 6.12434i | 0.409810 | + | 0.236604i | ||||
\(671\) | −14.4429 | + | 5.11137i | −0.557563 | + | 0.197322i | ||||
\(672\) | 3.56245 | − | 3.76670i | 0.137424 | − | 0.145304i | ||||
\(673\) | 15.3851 | + | 1.61704i | 0.593052 | + | 0.0623323i | 0.396300 | − | 0.918121i | \(-0.370294\pi\) |
0.196752 | + | 0.980453i | \(0.436961\pi\) | |||||||
\(674\) | −3.32055 | − | 15.6220i | −0.127903 | − | 0.601736i | ||||
\(675\) | 22.6736 | + | 9.25797i | 0.872708 | + | 0.356339i | ||||
\(676\) | −13.7526 | + | 4.54973i | −0.528946 | + | 0.174990i | ||||
\(677\) | −33.0313 | + | 23.9986i | −1.26950 | + | 0.922343i | −0.999182 | − | 0.0404295i | \(-0.987127\pi\) |
−0.270314 | + | 0.962772i | \(0.587127\pi\) | |||||||
\(678\) | 11.4532 | − | 7.89995i | 0.439857 | − | 0.303396i | ||||
\(679\) | 2.10180 | + | 9.88819i | 0.0806597 | + | 0.379474i | ||||
\(680\) | 11.6407 | + | 26.1455i | 0.446402 | + | 1.00263i | ||||
\(681\) | −3.49658 | + | 14.6730i | −0.133989 | + | 0.562270i | ||||
\(682\) | 8.37901 | − | 15.4251i | 0.320849 | − | 0.590658i | ||||
\(683\) | 32.8331 | + | 18.9562i | 1.25632 | + | 0.725339i | 0.972358 | − | 0.233496i | \(-0.0750165\pi\) |
0.283966 | + | 0.958834i | \(0.408350\pi\) | |||||||
\(684\) | −14.6664 | + | 7.53513i | −0.560782 | + | 0.288113i | ||||
\(685\) | −7.20846 | − | 8.00581i | −0.275421 | − | 0.305886i | ||||
\(686\) | −5.34315 | − | 4.81100i | −0.204003 | − | 0.183685i | ||||
\(687\) | −23.5713 | + | 30.8260i | −0.899302 | + | 1.17608i | ||||
\(688\) | 2.74233 | + | 3.77449i | 0.104550 | + | 0.143901i | ||||
\(689\) | 35.9510 | + | 13.6904i | 1.36963 | + | 0.521563i | ||||
\(690\) | −6.61103 | − | 4.03597i | −0.251678 | − | 0.153647i | ||||
\(691\) | 2.61563 | − | 24.8861i | 0.0995033 | − | 0.946710i | −0.824896 | − | 0.565284i | \(-0.808766\pi\) |
0.924399 | − | 0.381426i | \(-0.124567\pi\) | |||||||
\(692\) | 8.23209 | + | 14.2584i | 0.312937 | + | 0.542023i | ||||
\(693\) | 0.127765 | − | 5.55165i | 0.00485338 | − | 0.210890i | ||||
\(694\) | 22.3851 | 0.849727 | ||||||||
\(695\) | −43.3736 | + | 19.3112i | −1.64525 | + | 0.732514i | ||||
\(696\) | −10.2085 | + | 5.56500i | −0.386951 | + | 0.210941i | ||||
\(697\) | −3.82230 | − | 11.7638i | −0.144780 | − | 0.445587i | ||||
\(698\) | 11.1234 | − | 1.16912i | 0.421029 | − | 0.0442519i | ||||
\(699\) | 9.57743 | − | 12.5251i | 0.362252 | − | 0.473743i | ||||
\(700\) | −2.17826 | − | 1.96131i | −0.0823305 | − | 0.0741307i | ||||
\(701\) | −2.19704 | + | 6.76178i | −0.0829809 | + | 0.255389i | −0.983935 | − | 0.178524i | \(-0.942868\pi\) |
0.900955 | + | 0.433913i | \(0.142868\pi\) | |||||||
\(702\) | −1.51892 | − | 17.5665i | −0.0573278 | − | 0.663003i | ||||
\(703\) | 3.79309i | 0.143059i | ||||||||
\(704\) | −18.7117 | − | 7.75489i | −0.705225 | − | 0.292274i | ||||
\(705\) | 63.6321 | − | 18.9651i | 2.39652 | − | 0.714268i | ||||
\(706\) | −4.74879 | − | 10.6660i | −0.178723 | − | 0.401419i | ||||
\(707\) | −2.26748 | − | 0.736748i | −0.0852773 | − | 0.0277083i | ||||
\(708\) | −23.2296 | − | 11.0320i | −0.873020 | − | 0.414608i | ||||
\(709\) | −2.47251 | − | 23.5244i | −0.0928571 | − | 0.883477i | −0.937462 | − | 0.348087i | \(-0.886831\pi\) |
0.844605 | − | 0.535390i | \(-0.179835\pi\) | |||||||
\(710\) | −26.8426 | + | 19.5023i | −1.00738 | + | 0.731907i | ||||
\(711\) | 4.69632 | − | 5.83953i | 0.176126 | − | 0.219000i | ||||
\(712\) | −3.49866 | − | 16.4599i | −0.131118 | − | 0.616860i | ||||
\(713\) | −8.52727 | − | 0.896252i | −0.319349 | − | 0.0335649i | ||||
\(714\) | −2.77276 | − | 0.660752i | −0.103768 | − | 0.0247280i | ||||
\(715\) | 15.9616 | − | 33.6783i | 0.596929 | − | 1.25950i | ||||
\(716\) | − | 5.26340i | − | 0.196702i | ||||||
\(717\) | 5.22092 | + | 1.83895i | 0.194979 | + | 0.0686768i | ||||
\(718\) | 1.78718 | − | 0.379877i | 0.0666970 | − | 0.0141769i | ||||
\(719\) | 10.4731 | − | 49.2718i | 0.390579 | − | 1.83753i | −0.140336 | − | 0.990104i | \(-0.544818\pi\) |
0.530914 | − | 0.847425i | \(-0.321849\pi\) | |||||||
\(720\) | 0.791388 | + | 4.89011i | 0.0294933 | + | 0.182244i | ||||
\(721\) | −1.66952 | + | 0.175473i | −0.0621760 | + | 0.00653496i | ||||
\(722\) | 4.90681 | + | 1.04297i | 0.182613 | + | 0.0388155i | ||||
\(723\) | −23.1740 | + | 37.9596i | −0.861848 | + | 1.41173i | ||||
\(724\) | 10.8486 | − | 4.83012i | 0.403186 | − | 0.179510i | ||||
\(725\) | 5.39741 | + | 9.34859i | 0.200455 | + | 0.347198i | ||||
\(726\) | −16.8946 | + | 6.00733i | −0.627018 | + | 0.222953i | ||||
\(727\) | −2.67162 | −0.0990848 | −0.0495424 | − | 0.998772i | \(-0.515776\pi\) | ||||
−0.0495424 | + | 0.998772i | \(0.515776\pi\) | |||||||
\(728\) | −1.51129 | + | 5.70098i | −0.0560121 | + | 0.211292i | ||||
\(729\) | −26.7088 | − | 3.95442i | −0.989217 | − | 0.146460i | ||||
\(730\) | −25.7046 | + | 28.5478i | −0.951368 | + | 1.05660i | ||||
\(731\) | −11.2218 | + | 25.2047i | −0.415055 | + | 0.932228i | ||||
\(732\) | 1.14882 | − | 8.84101i | 0.0424615 | − | 0.326773i | ||||
\(733\) | −10.9204 | + | 3.54827i | −0.403356 | + | 0.131058i | −0.503667 | − | 0.863898i | \(-0.668016\pi\) |
0.100311 | + | 0.994956i | \(0.468016\pi\) | |||||||
\(734\) | 19.9198 | + | 22.1232i | 0.735254 | + | 0.816582i | ||||
\(735\) | −35.4898 | + | 6.63940i | −1.30906 | + | 0.244898i | ||||
\(736\) | 8.17696i | 0.301407i | ||||||||
\(737\) | −9.53187 | − | 10.0484i | −0.351111 | − | 0.370137i | ||||
\(738\) | −0.620794 | − | 11.1291i | −0.0228517 | − | 0.409667i | ||||
\(739\) | −35.3612 | − | 3.71661i | −1.30078 | − | 0.136718i | −0.571314 | − | 0.820731i | \(-0.693566\pi\) |
−0.729469 | + | 0.684014i | \(0.760233\pi\) | |||||||
\(740\) | −2.53982 | − | 0.825239i | −0.0933658 | − | 0.0303364i | ||||
\(741\) | 17.3369 | − | 25.4619i | 0.636889 | − | 0.935367i | ||||
\(742\) | 4.53389 | − | 3.29406i | 0.166444 | − | 0.120929i | ||||
\(743\) | 2.06447 | + | 0.919163i | 0.0757382 | + | 0.0337208i | 0.444256 | − | 0.895900i | \(-0.353468\pi\) |
−0.368518 | + | 0.929621i | \(0.620135\pi\) | |||||||
\(744\) | 16.2101 | + | 23.5011i | 0.594292 | + | 0.861592i | ||||
\(745\) | 35.0941 | − | 31.5989i | 1.28575 | − | 1.15769i | ||||
\(746\) | 0.398613 | − | 0.548644i | 0.0145943 | − | 0.0200873i | ||||
\(747\) | −5.68460 | + | 3.71886i | −0.207988 | + | 0.136066i | ||||
\(748\) | −1.50913 | − | 11.4802i | −0.0551794 | − | 0.419757i | ||||
\(749\) | − | 9.90134i | − | 0.361787i | ||||||
\(750\) | −1.43184 | + | 0.267867i | −0.0522833 | + | 0.00978112i | ||||
\(751\) | 3.98503 | − | 0.847044i | 0.145416 | − | 0.0309091i | −0.134629 | − | 0.990896i | \(-0.542984\pi\) |
0.280044 | + | 0.959987i | \(0.409651\pi\) | |||||||
\(752\) | 4.84300 | + | 4.36066i | 0.176606 | + | 0.159017i | ||||
\(753\) | 32.4378 | − | 13.5001i | 1.18210 | − | 0.491972i | ||||
\(754\) | 4.21534 | − | 6.52911i | 0.153514 | − | 0.237776i | ||||
\(755\) | −10.1104 | − | 31.1165i | −0.367954 | − | 1.13245i | ||||
\(756\) | 2.84759 | + | 1.52756i | 0.103566 | + | 0.0555569i | ||||
\(757\) | −0.773336 | + | 7.35780i | −0.0281074 | + | 0.267424i | 0.971439 | + | 0.237291i | \(0.0762596\pi\) |
−0.999546 | + | 0.0301325i | \(0.990407\pi\) | |||||||
\(758\) | −4.62681 | + | 8.01387i | −0.168053 | + | 0.291077i | ||||
\(759\) | 5.87016 | + | 6.49999i | 0.213073 | + | 0.235935i | ||||
\(760\) | −22.5285 | + | 39.0205i | −0.817194 | + | 1.41542i | ||||
\(761\) | 20.3975 | − | 9.08153i | 0.739407 | − | 0.329205i | −0.00223812 | − | 0.999997i | \(-0.500712\pi\) |
0.741645 | + | 0.670792i | \(0.234046\pi\) | |||||||
\(762\) | 7.51505 | − | 12.3099i | 0.272242 | − | 0.445940i | ||||
\(763\) | 4.58271 | + | 0.974085i | 0.165905 | + | 0.0352642i | ||||
\(764\) | −1.19850 | + | 2.69189i | −0.0433604 | + | 0.0973890i | ||||
\(765\) | −22.7038 | + | 18.5119i | −0.820856 | + | 0.669300i | ||||
\(766\) | −26.4682 | + | 8.60004i | −0.956335 | + | 0.310732i | ||||
\(767\) | 47.9694 | − | 2.64227i | 1.73207 | − | 0.0954068i | ||||
\(768\) | 22.2264 | − | 19.0479i | 0.802025 | − | 0.687330i | ||||
\(769\) | 13.4655 | − | 7.77431i | 0.485578 | − | 0.280349i | −0.237160 | − | 0.971471i | \(-0.576217\pi\) |
0.722738 | + | 0.691122i | \(0.242883\pi\) | |||||||
\(770\) | −2.83593 | − | 4.62982i | −0.102200 | − | 0.166847i | ||||
\(771\) | −17.1189 | + | 18.1004i | −0.616521 | + | 0.651870i | ||||
\(772\) | −8.98131 | + | 12.3617i | −0.323244 | + | 0.444908i | ||||
\(773\) | 9.05858 | − | 8.15638i | 0.325814 | − | 0.293365i | −0.489948 | − | 0.871752i | \(-0.662984\pi\) |
0.815763 | + | 0.578387i | \(0.196318\pi\) | |||||||
\(774\) | −15.5813 | + | 19.3742i | −0.560058 | + | 0.696391i | ||||
\(775\) | 21.4442 | − | 15.5802i | 0.770300 | − | 0.559656i | ||||
\(776\) | 5.54924 | + | 52.7975i | 0.199206 | + | 1.89532i | ||||
\(777\) | 0.611916 | − | 0.422075i | 0.0219523 | − | 0.0151419i | ||||
\(778\) | −0.533469 | − | 2.50977i | −0.0191258 | − | 0.0899798i | ||||
\(779\) | 11.4461 | − | 15.7541i | 0.410097 | − | 0.564451i | ||||
\(780\) | 13.2772 | + | 17.1483i | 0.475400 | + | 0.614007i | ||||
\(781\) | 35.3678 | − | 12.5167i | 1.26556 | − | 0.447883i | ||||
\(782\) | 3.89334 | − | 2.24782i | 0.139225 | − | 0.0803819i | ||||
\(783\) | −8.23540 | − | 8.59107i | −0.294309 | − | 0.307020i | ||||
\(784\) | −2.37120 | − | 2.63349i | −0.0846859 | − | 0.0940532i | ||||
\(785\) | −16.9919 | + | 5.52099i | −0.606465 | + | 0.197052i | ||||
\(786\) | −6.68588 | − | 0.868775i | −0.238477 | − | 0.0309882i | ||||
\(787\) | 55.0088 | − | 5.78165i | 1.96085 | − | 0.206094i | 0.962888 | − | 0.269900i | \(-0.0869905\pi\) |
0.997962 | + | 0.0638059i | \(0.0203239\pi\) | |||||||
\(788\) | −6.86507 | − | 21.1285i | −0.244558 | − | 0.752672i | ||||
\(789\) | −1.45651 | + | 0.793993i | −0.0518530 | + | 0.0282669i | ||||
\(790\) | 0.765845 | − | 7.28653i | 0.0272475 | − | 0.259243i | ||||
\(791\) | −2.38186 | − | 4.12550i | −0.0846892 | − | 0.146686i | ||||
\(792\) | 3.71478 | − | 28.9248i | 0.131999 | − | 1.02780i | ||||
\(793\) | 6.01020 | + | 15.5332i | 0.213428 | + | 0.551599i | ||||
\(794\) | 16.0834 | + | 11.6853i | 0.570780 | + | 0.414696i | ||||
\(795\) | 1.41084 | − | 57.5782i | 0.0500373 | − | 2.04209i | ||||
\(796\) | 0.188986 | − | 0.209890i | 0.00669843 | − | 0.00743936i | ||||
\(797\) | 3.59658 | − | 0.378016i | 0.127397 | − | 0.0133900i | −0.0406152 | − | 0.999175i | \(-0.512932\pi\) |
0.168013 | + | 0.985785i | \(0.446265\pi\) | |||||||
\(798\) | −1.72425 | − | 4.14299i | −0.0610378 | − | 0.146660i | ||||
\(799\) | −8.01253 | + | 37.6960i | −0.283463 | + | 1.33359i | ||||
\(800\) | −16.9145 | − | 18.7855i | −0.598020 | − | 0.664168i | ||||
\(801\) | 15.3204 | − | 7.87118i | 0.541321 | − | 0.278114i | ||||
\(802\) | 19.7138 | + | 11.3818i | 0.696119 | + | 0.401904i | ||||
\(803\) | 37.0409 | − | 22.6889i | 1.30715 | − | 0.800672i | ||||
\(804\) | 7.72383 | − | 2.30204i | 0.272399 | − | 0.0811867i | ||||
\(805\) | −1.55878 | + | 2.14548i | −0.0549399 | + | 0.0756183i | ||||
\(806\) | −17.0263 | − | 8.61820i | −0.599725 | − | 0.303563i | ||||
\(807\) | −1.96402 | − | 24.4299i | −0.0691368 | − | 0.859973i | ||||
\(808\) | −11.4381 | − | 5.09256i | −0.402390 | − | 0.179156i | ||||
\(809\) | −17.0376 | − | 7.58564i | −0.599011 | − | 0.266697i | 0.0847507 | − | 0.996402i | \(-0.472991\pi\) |
−0.683762 | + | 0.729705i | \(0.739657\pi\) | |||||||
\(810\) | −24.0431 | + | 10.8991i | −0.844790 | + | 0.382955i | ||||
\(811\) | 2.45730 | + | 0.798426i | 0.0862875 | + | 0.0280365i | 0.351843 | − | 0.936059i | \(-0.385555\pi\) |
−0.265555 | + | 0.964096i | \(0.585555\pi\) | |||||||
\(812\) | 0.579322 | + | 1.30118i | 0.0203302 | + | 0.0456624i | ||||
\(813\) | 28.3642 | − | 29.9905i | 0.994777 | − | 1.05181i | ||||
\(814\) | −1.97788 | − | 1.35993i | −0.0693248 | − | 0.0476654i | ||||
\(815\) | −6.88975 | − | 3.97780i | −0.241338 | − | 0.139336i | ||||
\(816\) | −2.71189 | − | 0.955200i | −0.0949351 | − | 0.0334387i | ||||
\(817\) | −42.4864 | + | 9.03077i | −1.48641 | + | 0.315947i | ||||
\(818\) | −7.62826 | + | 2.47857i | −0.266716 | + | 0.0866612i | ||||
\(819\) | −6.03677 | + | 0.0364060i | −0.210942 | + | 0.00127213i | ||||
\(820\) | 8.05860 | + | 11.0917i | 0.281419 | + | 0.387339i | ||||
\(821\) | −11.3440 | + | 12.5988i | −0.395910 | + | 0.439702i | −0.907835 | − | 0.419328i | \(-0.862266\pi\) |
0.511925 | + | 0.859030i | \(0.328932\pi\) | |||||||
\(822\) | 5.63284 | + | 0.138021i | 0.196468 | + | 0.00481405i | ||||
\(823\) | 23.7822 | − | 10.5885i | 0.828994 | − | 0.369092i | 0.0520366 | − | 0.998645i | \(-0.483429\pi\) |
0.776957 | + | 0.629553i | \(0.216762\pi\) | |||||||
\(824\) | −8.81581 | −0.307113 | ||||||||
\(825\) | −26.9315 | − | 2.79010i | −0.937636 | − | 0.0971388i | ||||
\(826\) | 3.49935 | − | 6.06106i | 0.121758 | − | 0.210891i | ||||
\(827\) | −10.3854 | − | 7.54545i | −0.361137 | − | 0.262381i | 0.392389 | − | 0.919799i | \(-0.371649\pi\) |
−0.753526 | + | 0.657418i | \(0.771649\pi\) | |||||||
\(828\) | −4.91847 | + | 1.33565i | −0.170929 | + | 0.0464170i | ||||
\(829\) | 31.5460 | − | 35.0354i | 1.09564 | − | 1.21683i | 0.121093 | − | 0.992641i | \(-0.461360\pi\) |
0.974546 | − | 0.224188i | \(-0.0719731\pi\) | |||||||
\(830\) | −2.70137 | + | 6.06737i | −0.0937658 | + | 0.210601i | ||||
\(831\) | −25.9096 | + | 10.7832i | −0.898794 | + | 0.374065i | ||||
\(832\) | −7.83625 | + | 20.5780i | −0.271673 | + | 0.713414i | ||||
\(833\) | 6.47575 | − | 19.9303i | 0.224371 | − | 0.690544i | ||||
\(834\) | 8.24989 | − | 23.4221i | 0.285670 | − | 0.811041i | ||||
\(835\) | 26.3743 | − | 15.2272i | 0.912721 | − | 0.526960i | ||||
\(836\) | 13.2253 | − | 12.5455i | 0.457407 | − | 0.433895i | ||||
\(837\) | −18.8659 | + | 22.3162i | −0.652102 | + | 0.771360i | ||||
\(838\) | −0.0391218 | − | 0.0878690i | −0.00135144 | − | 0.00303539i | ||||
\(839\) | −21.9134 | + | 19.7309i | −0.756535 | + | 0.681187i | −0.954229 | − | 0.299077i | \(-0.903321\pi\) |
0.197694 | + | 0.980264i | \(0.436655\pi\) | |||||||
\(840\) | 8.80177 | − | 0.707611i | 0.303690 | − | 0.0244149i | ||||
\(841\) | 2.48302 | + | 23.6244i | 0.0856215 | + | 0.814634i | ||||
\(842\) | −7.98953 | − | 3.55717i | −0.275337 | − | 0.122588i | ||||
\(843\) | −8.56738 | − | 12.4208i | −0.295076 | − | 0.427795i | ||||
\(844\) | −16.1963 | − | 5.26248i | −0.557498 | − | 0.181142i | ||||
\(845\) | −37.1005 | − | 16.2817i | −1.27630 | − | 0.560106i | ||||
\(846\) | −15.6621 | + | 30.9959i | −0.538474 | + | 1.06566i | ||||
\(847\) | 1.58665 | + | 5.93063i | 0.0545179 | + | 0.203779i | ||||
\(848\) | 4.89558 | − | 2.82646i | 0.168115 | − | 0.0970612i | ||||
\(849\) | −55.6341 | + | 10.4080i | −1.90936 | + | 0.357201i | ||||
\(850\) | −4.29468 | + | 13.2177i | −0.147306 | + | 0.453363i | ||||
\(851\) | −0.243761 | + | 1.14681i | −0.00835602 | + | 0.0393120i | ||||
\(852\) | −2.81322 | + | 21.6498i | −0.0963794 | + | 0.741711i | ||||
\(853\) | −23.3719 | − | 32.1687i | −0.800239 | − | 1.10143i | −0.992757 | − | 0.120141i | \(-0.961665\pi\) |
0.192517 | − | 0.981294i | \(-0.438335\pi\) | |||||||
\(854\) | 2.37331 | + | 0.504463i | 0.0812131 | + | 0.0172624i | ||||
\(855\) | −44.5872 | − | 11.7865i | −1.52485 | − | 0.403090i | ||||
\(856\) | 5.43519 | − | 51.7124i | 0.185771 | − | 1.76749i | ||||
\(857\) | 44.6385 | 1.52482 | 0.762410 | − | 0.647094i | \(-0.224016\pi\) | ||||
0.762410 | + | 0.647094i | \(0.224016\pi\) | |||||||
\(858\) | 7.06120 | + | 18.1690i | 0.241065 | + | 0.620280i | ||||
\(859\) | 36.4110 | 1.24233 | 0.621164 | − | 0.783681i | \(-0.286660\pi\) | ||||
0.621164 | + | 0.783681i | \(0.286660\pi\) | |||||||
\(860\) | 3.19657 | − | 30.4133i | 0.109002 | − | 1.03709i | ||||
\(861\) | −3.81517 | − | 0.0934831i | −0.130021 | − | 0.00318590i | ||||
\(862\) | −29.5912 | − | 6.28980i | −1.00788 | − | 0.214231i | ||||
\(863\) | −25.8908 | − | 35.6356i | −0.881334 | − | 1.21305i | −0.976050 | − | 0.217547i | \(-0.930194\pi\) |
0.0947163 | − | 0.995504i | \(-0.469806\pi\) | |||||||
\(864\) | 23.0463 | + | 15.6686i | 0.784050 | + | 0.533058i | ||||
\(865\) | −9.57431 | + | 45.0436i | −0.325536 | + | 1.53153i | ||||
\(866\) | −2.90134 | + | 8.92941i | −0.0985916 | + | 0.303434i | ||||
\(867\) | 2.28798 | + | 12.2300i | 0.0777040 | + | 0.415353i | ||||
\(868\) | 3.02883 | − | 1.74870i | 0.102805 | − | 0.0593547i | ||||
\(869\) | −3.17186 | + | 7.65336i | −0.107598 | + | 0.259622i | ||||
\(870\) | −11.3186 | − | 2.69722i | −0.383735 | − | 0.0914443i | ||||
\(871\) | −10.6183 | + | 10.6750i | −0.359786 | + | 0.361710i | ||||
\(872\) | 23.3997 | + | 7.60303i | 0.792414 | + | 0.257471i | ||||
\(873\) | −50.6643 | + | 19.6440i | −1.71473 | + | 0.664848i | ||||
\(874\) | 6.46572 | + | 2.87872i | 0.218706 | + | 0.0973742i | ||||
\(875\) | 0.0521325 | + | 0.496008i | 0.00176240 | + | 0.0167681i | ||||
\(876\) | 2.02558 | + | 25.1956i | 0.0684379 | + | 0.851280i | ||||
\(877\) | −24.8211 | + | 22.3490i | −0.838149 | + | 0.754673i | −0.971662 | − | 0.236374i | \(-0.924041\pi\) |
0.133513 | + | 0.991047i | \(0.457374\pi\) | |||||||
\(878\) | −3.98109 | − | 8.94168i | −0.134355 | − | 0.301767i | ||||
\(879\) | −3.58076 | + | 15.0262i | −0.120776 | + | 0.506821i | ||||
\(880\) | −2.35676 | − | 4.94352i | −0.0794464 | − | 0.166646i | ||||
\(881\) | 32.7798 | − | 18.9254i | 1.10438 | − | 0.637614i | 0.167012 | − | 0.985955i | \(-0.446588\pi\) |
0.937368 | + | 0.348341i | \(0.113255\pi\) | |||||||
\(882\) | 10.2318 | − | 15.8721i | 0.344521 | − | 0.534443i | ||||
\(883\) | 13.6792 | − | 42.1003i | 0.460342 | − | 1.41679i | −0.404405 | − | 0.914580i | \(-0.632521\pi\) |
0.864747 | − | 0.502208i | \(-0.167479\pi\) | |||||||
\(884\) | −12.4274 | + | 2.00229i | −0.417978 | + | 0.0673443i | ||||
\(885\) | −27.6371 | − | 66.4057i | −0.929011 | − | 2.23220i | ||||
\(886\) | −2.29498 | + | 5.15461i | −0.0771014 | + | 0.173173i | ||||
\(887\) | −19.2076 | + | 21.3322i | −0.644928 | + | 0.716265i | −0.973621 | − | 0.228172i | \(-0.926725\pi\) |
0.328693 | + | 0.944437i | \(0.393392\pi\) | |||||||
\(888\) | 3.42758 | − | 1.86850i | 0.115022 | − | 0.0627026i | ||||
\(889\) | −3.99493 | − | 2.90249i | −0.133986 | − | 0.0973463i | ||||
\(890\) | 8.42011 | − | 14.5841i | 0.282243 | − | 0.488859i | ||||
\(891\) | 29.5682 | − | 4.08944i | 0.990571 | − | 0.137001i | ||||
\(892\) | −20.4137 | −0.683500 | ||||||||
\(893\) | −55.4263 | + | 24.6774i | −1.85477 | + | 0.825797i | ||||
\(894\) | −0.605029 | + | 24.6920i | −0.0202352 | + | 0.825825i | ||||
\(895\) | 9.85067 | − | 10.9403i | 0.329272 | − | 0.365693i | ||||
\(896\) | −1.63332 | − | 2.24807i | −0.0545654 | − | 0.0751028i | ||||
\(897\) | 6.87796 | − | 6.58402i | 0.229648 | − | 0.219834i | ||||
\(898\) | 9.32492 | − | 3.02985i | 0.311177 | − | 0.101107i | ||||
\(899\) | −12.5988 | + | 2.67795i | −0.420192 | + | 0.0893147i | ||||
\(900\) | 8.53668 | − | 13.2426i | 0.284556 | − | 0.441421i | ||||
\(901\) | 28.9504 | + | 16.7145i | 0.964476 | + | 0.556841i | ||||
\(902\) | 4.11118 | + | 11.6168i | 0.136887 | + | 0.386796i | ||||
\(903\) | 6.18454 | + | 5.84917i | 0.205808 | + | 0.194648i | ||||
\(904\) | −10.1753 | − | 22.8540i | −0.338424 | − | 0.760114i | ||||
\(905\) | 31.5893 | + | 10.2640i | 1.05006 | + | 0.341186i | ||||
\(906\) | 15.4578 | + | 7.34109i | 0.513550 | + | 0.243891i | ||||
\(907\) | 27.8374 | + | 12.3940i | 0.924325 | + | 0.411536i | 0.813010 | − | 0.582249i | \(-0.197827\pi\) |
0.111315 | + | 0.993785i | \(0.464494\pi\) | |||||||
\(908\) | 8.86494 | + | 3.94693i | 0.294193 | + | 0.130983i | ||||
\(909\) | 1.96221 | − | 12.6645i | 0.0650824 | − | 0.420054i | ||||
\(910\) | −4.94151 | + | 3.22782i | −0.163809 | + | 0.107001i | ||||
\(911\) | −2.95546 | + | 4.06784i | −0.0979188 | + | 0.134774i | −0.855165 | − | 0.518356i | \(-0.826544\pi\) |
0.757246 | + | 0.653129i | \(0.226544\pi\) | |||||||
\(912\) | −1.29289 | − | 4.33793i | −0.0428119 | − | 0.143643i | ||||
\(913\) | 4.87841 | − | 5.70965i | 0.161452 | − | 0.188962i | ||||
\(914\) | 27.7494 | + | 16.0211i | 0.917868 | + | 0.529931i | ||||
\(915\) | 18.9342 | − | 16.2265i | 0.625945 | − | 0.536431i | ||||
\(916\) | 16.7046 | + | 18.5523i | 0.551934 | + | 0.612985i | ||||
\(917\) | −0.479937 | + | 2.25792i | −0.0158489 | + | 0.0745632i | ||||
\(918\) | 1.12505 | − | 15.2804i | 0.0371321 | − | 0.504328i | ||||
\(919\) | 48.4834 | − | 5.09581i | 1.59932 | − | 0.168095i | 0.737513 | − | 0.675333i | \(-0.236000\pi\) |
0.861806 | + | 0.507238i | \(0.169334\pi\) | |||||||
\(920\) | −9.31890 | + | 10.3497i | −0.307235 | + | 0.341219i | ||||
\(921\) | 33.7074 | + | 0.825934i | 1.11070 | + | 0.0272154i | ||||
\(922\) | 5.97247 | + | 4.33925i | 0.196693 | + | 0.142906i | ||||
\(923\) | −14.7178 | − | 38.0376i | −0.484441 | − | 1.25202i | ||||
\(924\) | −3.49552 | − | 0.737561i | −0.114994 | − | 0.0242640i | ||||
\(925\) | −1.81223 | − | 3.13887i | −0.0595857 | − | 0.103205i | ||||
\(926\) | −2.16113 | + | 20.5618i | −0.0710192 | + | 0.675702i | ||||
\(927\) | −2.36477 | − | 8.70818i | −0.0776693 | − | 0.286014i | ||||
\(928\) | 3.79579 | + | 11.6822i | 0.124603 | + | 0.383489i | ||||
\(929\) | −6.50033 | + | 0.683212i | −0.213269 | + | 0.0224155i | −0.210560 | − | 0.977581i | \(-0.567529\pi\) |
−0.00270862 | + | 0.999996i | \(0.500862\pi\) | |||||||
\(930\) | −3.68159 | + | 28.3326i | −0.120724 | + | 0.929063i | ||||
\(931\) | 31.3768 | − | 10.1950i | 1.02833 | − | 0.334126i | ||||
\(932\) | −6.78735 | − | 7.53811i | −0.222327 | − | 0.246919i | ||||
\(933\) | 8.36295 | − | 23.7431i | 0.273791 | − | 0.777314i | ||||
\(934\) | 17.9162 | − | 10.3439i | 0.586235 | − | 0.338463i | ||||
\(935\) | 18.3488 | − | 26.6866i | 0.600070 | − | 0.872745i | ||||
\(936\) | −31.5486 | − | 3.12365i | −1.03120 | − | 0.102100i | ||||
\(937\) | 20.0914 | − | 27.6534i | 0.656357 | − | 0.903398i | −0.342997 | − | 0.939336i | \(-0.611442\pi\) |
0.999354 | + | 0.0359386i | \(0.0114421\pi\) | |||||||
\(938\) | 0.456042 | + | 2.14551i | 0.0148903 | + | 0.0700533i | ||||
\(939\) | 10.4942 | + | 15.2143i | 0.342465 | + | 0.496499i | ||||
\(940\) | −4.46503 | − | 42.4819i | −0.145633 | − | 1.38561i | ||||
\(941\) | 12.3535 | − | 8.97535i | 0.402713 | − | 0.292588i | −0.367932 | − | 0.929853i | \(-0.619934\pi\) |
0.770645 | + | 0.637265i | \(0.219934\pi\) | |||||||
\(942\) | 4.00876 | − | 8.44105i | 0.130612 | − | 0.275024i | ||||
\(943\) | 4.47304 | − | 4.02754i | 0.145662 | − | 0.131155i | ||||
\(944\) | 4.14951 | − | 5.71132i | 0.135055 | − | 0.185888i | ||||
\(945\) | 3.05998 | + | 8.50450i | 0.0995411 | + | 0.276651i | ||||
\(946\) | 10.5235 | − | 25.3921i | 0.342148 | − | 0.825567i | ||||
\(947\) | 51.5590 | − | 29.7676i | 1.67544 | − | 0.967318i | 0.710938 | − | 0.703255i | \(-0.248271\pi\) |
0.964505 | − | 0.264063i | \(-0.0850626\pi\) | |||||||
\(948\) | −3.13710 | − | 3.66059i | −0.101888 | − | 0.118890i | ||||
\(949\) | −25.8242 | − | 39.5346i | −0.838289 | − | 1.28335i | ||||
\(950\) | −20.8089 | + | 6.76124i | −0.675131 | + | 0.219364i | ||||
\(951\) | −11.7526 | − | 8.98673i | −0.381104 | − | 0.291415i | ||||
\(952\) | −2.08457 | + | 4.68203i | −0.0675614 | + | 0.151745i | ||||
\(953\) | −43.3065 | − | 9.20508i | −1.40284 | − | 0.298182i | −0.556507 | − | 0.830843i | \(-0.687859\pi\) |
−0.846328 | + | 0.532661i | \(0.821192\pi\) | |||||||
\(954\) | 21.3725 | + | 21.2292i | 0.691961 | + | 0.687321i | ||||
\(955\) | −7.52913 | + | 3.35219i | −0.243637 | + | 0.108474i | ||||
\(956\) | 1.78052 | − | 3.08395i | 0.0575860 | − | 0.0997419i | ||||
\(957\) | 11.4039 | + | 6.56143i | 0.368636 | + | 0.212101i | ||||
\(958\) | −5.70613 | + | 9.88330i | −0.184357 | + | 0.319315i | ||||
\(959\) | 0.201652 | − | 1.91859i | 0.00651169 | − | 0.0619546i | ||||
\(960\) | 32.9572 | + | 0.807550i | 1.06369 | + | 0.0260636i | ||||
\(961\) | 0.193831 | + | 0.596550i | 0.00625260 | + | 0.0192435i | ||||
\(962\) | −1.41534 | + | 2.19221i | −0.0456323 | + | 0.0706796i | ||||
\(963\) | 52.5390 | − | 8.50261i | 1.69305 | − | 0.273993i | ||||
\(964\) | 21.2626 | + | 19.1449i | 0.684822 | + | 0.616617i | ||||
\(965\) | −41.8036 | + | 8.88563i | −1.34571 | + | 0.286039i | ||||
\(966\) | −0.255064 | − | 1.36340i | −0.00820655 | − | 0.0438667i | ||||
\(967\) | 5.18787i | 0.166831i | 0.996515 | + | 0.0834153i | \(0.0265828\pi\) | ||||
−0.996515 | + | 0.0834153i | \(0.973417\pi\) | |||||||
\(968\) | 5.03117 | + | 31.8453i | 0.161708 | + | 1.02355i | ||||
\(969\) | 18.3930 | − | 19.4476i | 0.590869 | − | 0.624747i | ||||
\(970\) | −31.2279 | + | 42.9815i | −1.00267 | + | 1.38005i | ||||
\(971\) | 6.43935 | − | 5.79802i | 0.206649 | − | 0.186067i | −0.559307 | − | 0.828960i | \(-0.688933\pi\) |
0.765956 | + | 0.642893i | \(0.222266\pi\) | |||||||
\(972\) | −5.66030 | + | 16.4218i | −0.181554 | + | 0.526729i | ||||
\(973\) | −7.76716 | − | 3.45816i | −0.249004 | − | 0.110864i | ||||
\(974\) | 9.98709 | − | 7.25605i | 0.320007 | − | 0.232499i | ||||
\(975\) | −2.18176 | + | 29.3534i | −0.0698723 | + | 0.940061i | ||||
\(976\) | 2.32765 | + | 0.756299i | 0.0745062 | + | 0.0242085i | ||||
\(977\) | −23.4645 | − | 2.46622i | −0.750696 | − | 0.0789014i | −0.278550 | − | 0.960422i | \(-0.589854\pi\) |
−0.472146 | + | 0.881520i | \(0.656521\pi\) | |||||||
\(978\) | 3.98767 | − | 1.18850i | 0.127512 | − | 0.0380040i | ||||
\(979\) | −13.8151 | + | 13.1050i | −0.441533 | + | 0.418837i | ||||
\(980\) | 23.2277i | 0.741982i | ||||||||
\(981\) | −1.23341 | + | 25.1535i | −0.0393798 | + | 0.803089i | ||||
\(982\) | 3.47166 | + | 3.85567i | 0.110785 | + | 0.123039i | ||||
\(983\) | 56.8287 | − | 18.4648i | 1.81255 | − | 0.588934i | 0.812572 | − | 0.582860i | \(-0.198067\pi\) |
0.999982 | − | 0.00607418i | \(-0.00193348\pi\) | |||||||
\(984\) | −19.8744 | − | 2.58252i | −0.633574 | − | 0.0823277i | ||||
\(985\) | 25.2734 | − | 56.7650i | 0.805278 | − | 1.80868i | ||||
\(986\) | 4.51887 | − | 5.01872i | 0.143910 | − | 0.159829i | ||||
\(987\) | 10.1486 | + | 6.19561i | 0.323033 | + | 0.197208i | ||||
\(988\) | −14.0501 | − | 13.9754i | −0.446993 | − | 0.444615i | ||||
\(989\) | −13.4257 | −0.426913 | ||||||||
\(990\) | 22.1317 | − | 19.0239i | 0.703391 | − | 0.604620i | ||||
\(991\) | 9.29285 | + | 16.0957i | 0.295197 | + | 0.511296i | 0.975031 | − | 0.222070i | \(-0.0712813\pi\) |
−0.679834 | + | 0.733366i | \(0.737948\pi\) | |||||||
\(992\) | 27.5542 | − | 12.2679i | 0.874847 | − | 0.389507i | ||||
\(993\) | 25.9526 | + | 15.8438i | 0.823580 | + | 0.502787i | ||||
\(994\) | −5.81176 | − | 1.23533i | −0.184338 | − | 0.0391822i | ||||
\(995\) | 0.785636 | − | 0.0825737i | 0.0249063 | − | 0.00261776i | ||||
\(996\) | 1.67916 | + | 4.03465i | 0.0532063 | + | 0.127843i | ||||
\(997\) | −7.94982 | + | 37.4010i | −0.251773 | + | 1.18450i | 0.652581 | + | 0.757719i | \(0.273686\pi\) |
−0.904355 | + | 0.426782i | \(0.859647\pi\) | |||||||
\(998\) | −5.90238 | + | 1.25459i | −0.186837 | + | 0.0397134i | ||||
\(999\) | 2.76511 | + | 2.88453i | 0.0874841 | + | 0.0912624i |
(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 | 429.2.bq.a.29.19 | ✓ | 416 | |
3.2 | odd | 2 | inner | 429.2.bq.a.29.34 | yes | 416 | |
11.8 | odd | 10 | inner | 429.2.bq.a.107.19 | yes | 416 | |
13.9 | even | 3 | inner | 429.2.bq.a.425.34 | yes | 416 | |
33.8 | even | 10 | inner | 429.2.bq.a.107.34 | yes | 416 | |
39.35 | odd | 6 | inner | 429.2.bq.a.425.19 | yes | 416 | |
143.74 | odd | 30 | inner | 429.2.bq.a.74.34 | yes | 416 | |
429.74 | even | 30 | inner | 429.2.bq.a.74.19 | yes | 416 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bq.a.29.19 | ✓ | 416 | 1.1 | even | 1 | trivial | |
429.2.bq.a.29.34 | yes | 416 | 3.2 | odd | 2 | inner | |
429.2.bq.a.74.19 | yes | 416 | 429.74 | even | 30 | inner | |
429.2.bq.a.74.34 | yes | 416 | 143.74 | odd | 30 | inner | |
429.2.bq.a.107.19 | yes | 416 | 11.8 | odd | 10 | inner | |
429.2.bq.a.107.34 | yes | 416 | 33.8 | even | 10 | inner | |
429.2.bq.a.425.19 | yes | 416 | 39.35 | odd | 6 | inner | |
429.2.bq.a.425.34 | yes | 416 | 13.9 | even | 3 | inner |