Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(116,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 9, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.116");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.y (of order \(10\), degree \(4\), 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: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 116.1 | ||
Character | \(\chi\) | \(=\) | 429.116 |
Dual form | 429.2.y.b.233.1 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{10}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.50188 | + | 0.812912i | −1.76910 | + | 0.574815i | −0.998077 | − | 0.0619920i | \(-0.980255\pi\) |
−0.771023 | + | 0.636807i | \(0.780255\pi\) | |||||||
\(3\) | −0.234485 | + | 1.71611i | −0.135380 | + | 0.990794i | ||||
\(4\) | 3.98057 | − | 2.89205i | 1.99028 | − | 1.44603i | ||||
\(5\) | 0.944274 | − | 2.90618i | 0.422292 | − | 1.29968i | −0.483271 | − | 0.875471i | \(-0.660551\pi\) |
0.905563 | − | 0.424211i | \(-0.139449\pi\) | |||||||
\(6\) | −0.808388 | − | 4.48411i | −0.330023 | − | 1.83063i | ||||
\(7\) | −2.69270 | + | 1.95636i | −1.01774 | + | 0.739435i | −0.965819 | − | 0.259216i | \(-0.916536\pi\) |
−0.0519255 | + | 0.998651i | \(0.516536\pi\) | |||||||
\(8\) | −4.51544 | + | 6.21497i | −1.59645 | + | 2.19732i | ||||
\(9\) | −2.89003 | − | 0.804801i | −0.963345 | − | 0.268267i | ||||
\(10\) | 8.03853i | 2.54201i | ||||||||
\(11\) | 3.16176 | + | 1.00163i | 0.953307 | + | 0.302004i | ||||
\(12\) | 4.02968 | + | 7.50921i | 1.16327 | + | 2.16772i | ||||
\(13\) | −1.13587 | − | 3.42196i | −0.315034 | − | 0.949080i | ||||
\(14\) | 5.14648 | − | 7.08352i | 1.37545 | − | 1.89315i | ||||
\(15\) | 4.76589 | + | 2.30193i | 1.23055 | + | 0.594355i | ||||
\(16\) | 3.20400 | − | 9.86091i | 0.801001 | − | 2.46523i | ||||
\(17\) | −0.313445 | + | 0.964684i | −0.0760216 | + | 0.233970i | −0.981845 | − | 0.189685i | \(-0.939253\pi\) |
0.905823 | + | 0.423655i | \(0.139253\pi\) | |||||||
\(18\) | 7.88476 | − | 0.335824i | 1.85846 | − | 0.0791544i | ||||
\(19\) | 1.38863 | + | 1.00890i | 0.318573 | + | 0.231457i | 0.735566 | − | 0.677453i | \(-0.236916\pi\) |
−0.416993 | + | 0.908910i | \(0.636916\pi\) | |||||||
\(20\) | −4.64607 | − | 14.2991i | −1.03889 | − | 3.19738i | ||||
\(21\) | −2.72592 | − | 5.07969i | −0.594845 | − | 1.10848i | ||||
\(22\) | −8.72460 | + | 0.0642593i | −1.86009 | + | 0.0137001i | ||||
\(23\) | − | 5.67180i | − | 1.18265i | −0.806432 | − | 0.591326i | \(-0.798605\pi\) | ||
0.806432 | − | 0.591326i | \(-0.201395\pi\) | |||||||
\(24\) | −9.60674 | − | 9.20628i | −1.96097 | − | 1.87922i | ||||
\(25\) | −3.50913 | − | 2.54953i | −0.701825 | − | 0.509906i | ||||
\(26\) | 5.62357 | + | 7.63798i | 1.10287 | + | 1.49793i | ||||
\(27\) | 2.05879 | − | 4.77089i | 0.396215 | − | 0.918158i | ||||
\(28\) | −5.06058 | + | 15.5749i | −0.956359 | + | 2.94337i | ||||
\(29\) | 7.29720 | − | 5.30173i | 1.35506 | − | 0.984506i | 0.356314 | − | 0.934366i | \(-0.384033\pi\) |
0.998742 | − | 0.0501398i | \(-0.0159667\pi\) | |||||||
\(30\) | −13.7950 | − | 1.88491i | −2.51860 | − | 0.344136i | ||||
\(31\) | 7.38677 | − | 2.40011i | 1.32670 | − | 0.431072i | 0.441911 | − | 0.897059i | \(-0.354301\pi\) |
0.884792 | + | 0.465987i | \(0.154301\pi\) | |||||||
\(32\) | 11.9112i | 2.10562i | ||||||||
\(33\) | −2.46029 | + | 5.19105i | −0.428282 | + | 0.903645i | ||||
\(34\) | − | 2.66833i | − | 0.457615i | ||||||
\(35\) | 3.14288 | + | 9.67280i | 0.531244 | + | 1.63500i | ||||
\(36\) | −13.8315 | + | 5.15456i | −2.30525 | + | 0.859094i | ||||
\(37\) | 0.978230 | + | 1.34642i | 0.160820 | + | 0.221350i | 0.881821 | − | 0.471584i | \(-0.156318\pi\) |
−0.721001 | + | 0.692934i | \(0.756318\pi\) | |||||||
\(38\) | −4.29433 | − | 1.39531i | −0.696633 | − | 0.226350i | ||||
\(39\) | 6.13878 | − | 1.14688i | 0.982992 | − | 0.183648i | ||||
\(40\) | 13.7980 | + | 18.9913i | 2.18165 | + | 3.00279i | ||||
\(41\) | 1.77989 | − | 2.44981i | 0.277973 | − | 0.382597i | −0.647088 | − | 0.762415i | \(-0.724014\pi\) |
0.925061 | + | 0.379818i | \(0.124014\pi\) | |||||||
\(42\) | 10.9493 | + | 10.4929i | 1.68951 | + | 1.61908i | ||||
\(43\) | 0.0954413i | 0.0145547i | 0.999974 | + | 0.00727733i | \(0.00231647\pi\) | ||||
−0.999974 | + | 0.00727733i | \(0.997684\pi\) | |||||||
\(44\) | 15.4824 | − | 5.15690i | 2.33406 | − | 0.777432i | ||||
\(45\) | −5.06788 | + | 7.63900i | −0.755475 | + | 1.13875i | ||||
\(46\) | 4.61067 | + | 14.1902i | 0.679807 | + | 2.09223i | ||||
\(47\) | 9.10002 | + | 6.61155i | 1.32737 | + | 0.964394i | 0.999809 | + | 0.0195659i | \(0.00622842\pi\) |
0.327566 | + | 0.944828i | \(0.393772\pi\) | |||||||
\(48\) | 16.1711 | + | 7.81064i | 2.33409 | + | 1.12737i | ||||
\(49\) | 1.26016 | − | 3.87839i | 0.180024 | − | 0.554056i | ||||
\(50\) | 10.8520 | + | 3.52602i | 1.53470 | + | 0.498654i | ||||
\(51\) | −1.58200 | − | 0.764108i | −0.221525 | − | 0.106997i | ||||
\(52\) | −14.4179 | − | 10.3363i | −1.99940 | − | 1.43339i | ||||
\(53\) | −2.47371 | + | 0.803756i | −0.339790 | + | 0.110404i | −0.473941 | − | 0.880556i | \(-0.657169\pi\) |
0.134151 | + | 0.990961i | \(0.457169\pi\) | |||||||
\(54\) | −1.27255 | + | 13.6098i | −0.173172 | + | 1.85206i | ||||
\(55\) | 5.89649 | − | 8.24282i | 0.795083 | − | 1.11146i | ||||
\(56\) | − | 25.5689i | − | 3.41678i | ||||||
\(57\) | −2.05699 | + | 2.14646i | −0.272454 | + | 0.284306i | ||||
\(58\) | −13.9469 | + | 19.1963i | −1.83132 | + | 2.52060i | ||||
\(59\) | −5.60721 | + | 4.07388i | −0.729997 | + | 0.530374i | −0.889563 | − | 0.456813i | \(-0.848991\pi\) |
0.159565 | + | 0.987187i | \(0.448991\pi\) | |||||||
\(60\) | 25.6282 | − | 4.62021i | 3.30859 | − | 0.596467i | ||||
\(61\) | −0.821986 | − | 0.267080i | −0.105245 | − | 0.0341960i | 0.255921 | − | 0.966698i | \(-0.417621\pi\) |
−0.361166 | + | 0.932502i | \(0.617621\pi\) | |||||||
\(62\) | −16.5298 | + | 12.0096i | −2.09928 | + | 1.52522i | ||||
\(63\) | 9.35647 | − | 3.48686i | 1.17880 | − | 0.439303i | ||||
\(64\) | −3.27473 | − | 10.0786i | −0.409342 | − | 1.25982i | ||||
\(65\) | −11.0174 | + | 0.0697797i | −1.36654 | + | 0.00865510i | ||||
\(66\) | 1.93551 | − | 14.9874i | 0.238245 | − | 1.84482i | ||||
\(67\) | − | 5.12237i | − | 0.625797i | −0.949787 | − | 0.312898i | \(-0.898700\pi\) | ||
0.949787 | − | 0.312898i | \(-0.101300\pi\) | |||||||
\(68\) | 1.54223 | + | 4.74649i | 0.187023 | + | 0.575596i | ||||
\(69\) | 9.73341 | + | 1.32995i | 1.17176 | + | 0.160107i | ||||
\(70\) | −15.7263 | − | 21.6454i | −1.87965 | − | 2.58711i | ||||
\(71\) | 2.61088 | − | 8.03545i | 0.309854 | − | 0.953632i | −0.667967 | − | 0.744191i | \(-0.732835\pi\) |
0.977821 | − | 0.209442i | \(-0.0671646\pi\) | |||||||
\(72\) | 18.0516 | − | 14.3274i | 2.12740 | − | 1.68851i | ||||
\(73\) | 10.5909 | − | 7.69473i | 1.23957 | − | 0.900600i | 0.242000 | − | 0.970276i | \(-0.422197\pi\) |
0.997570 | + | 0.0696765i | \(0.0221967\pi\) | |||||||
\(74\) | −3.54194 | − | 2.57337i | −0.411742 | − | 0.299148i | ||||
\(75\) | 5.19810 | − | 5.42420i | 0.600225 | − | 0.626333i | ||||
\(76\) | 8.44531 | 0.968744 | ||||||||
\(77\) | −10.4732 | + | 3.48845i | −1.19354 | + | 0.397545i | ||||
\(78\) | −14.4262 | + | 7.85965i | −1.63345 | + | 0.889930i | ||||
\(79\) | 1.31519 | − | 0.427330i | 0.147970 | − | 0.0480784i | −0.234095 | − | 0.972214i | \(-0.575213\pi\) |
0.382066 | + | 0.924135i | \(0.375213\pi\) | |||||||
\(80\) | −25.6321 | − | 18.6228i | −2.86576 | − | 2.08209i | ||||
\(81\) | 7.70459 | + | 4.65180i | 0.856066 | + | 0.516867i | ||||
\(82\) | −2.46161 | + | 7.57605i | −0.271839 | + | 0.836634i | ||||
\(83\) | −2.55098 | − | 0.828864i | −0.280007 | − | 0.0909797i | 0.165647 | − | 0.986185i | \(-0.447029\pi\) |
−0.445654 | + | 0.895205i | \(0.647029\pi\) | |||||||
\(84\) | −25.5415 | − | 12.3365i | −2.78680 | − | 1.34603i | ||||
\(85\) | 2.50757 | + | 1.82185i | 0.271984 | + | 0.197608i | ||||
\(86\) | −0.0775853 | − | 0.238783i | −0.00836624 | − | 0.0257486i | ||||
\(87\) | 7.38724 | + | 13.7659i | 0.791995 | + | 1.47586i | ||||
\(88\) | −20.5019 | + | 15.1274i | −2.18551 | + | 1.61259i | ||||
\(89\) | −16.9187 | −1.79338 | −0.896690 | − | 0.442659i | \(-0.854035\pi\) | ||||
−0.896690 | + | 0.442659i | \(0.854035\pi\) | |||||||
\(90\) | 6.46942 | − | 23.2316i | 0.681936 | − | 2.44883i | ||||
\(91\) | 9.75315 | + | 6.99213i | 1.02241 | + | 0.732974i | ||||
\(92\) | −16.4031 | − | 22.5770i | −1.71015 | − | 2.35381i | ||||
\(93\) | 2.38675 | + | 13.2393i | 0.247495 | + | 1.37285i | ||||
\(94\) | −28.1418 | − | 9.14383i | −2.90261 | − | 0.943114i | ||||
\(95\) | 4.24328 | − | 3.08292i | 0.435351 | − | 0.316301i | ||||
\(96\) | −20.4409 | − | 2.79299i | −2.08624 | − | 0.285058i | ||||
\(97\) | 6.75174 | − | 2.19377i | 0.685535 | − | 0.222744i | 0.0545180 | − | 0.998513i | \(-0.482638\pi\) |
0.631017 | + | 0.775769i | \(0.282638\pi\) | |||||||
\(98\) | 10.7277i | 1.08366i | ||||||||
\(99\) | −8.33148 | − | 5.43934i | −0.837345 | − | 0.546675i | ||||
\(100\) | −21.3417 | −2.13417 | ||||||||
\(101\) | 1.12073 | + | 3.44925i | 0.111517 | + | 0.343214i | 0.991205 | − | 0.132338i | \(-0.0422485\pi\) |
−0.879688 | + | 0.475552i | \(0.842248\pi\) | |||||||
\(102\) | 4.57914 | + | 0.625683i | 0.453402 | + | 0.0619518i | ||||
\(103\) | 6.76384 | − | 4.91422i | 0.666461 | − | 0.484212i | −0.202378 | − | 0.979308i | \(-0.564867\pi\) |
0.868839 | + | 0.495095i | \(0.164867\pi\) | |||||||
\(104\) | 26.3963 | + | 8.39223i | 2.58837 | + | 0.822926i | ||||
\(105\) | −17.3365 | + | 3.12540i | −1.69187 | + | 0.305007i | ||||
\(106\) | 5.53555 | − | 4.02181i | 0.537660 | − | 0.390633i | ||||
\(107\) | 8.80760 | + | 6.39910i | 0.851463 | + | 0.618624i | 0.925549 | − | 0.378628i | \(-0.123604\pi\) |
−0.0740861 | + | 0.997252i | \(0.523604\pi\) | |||||||
\(108\) | −5.60250 | − | 24.9450i | −0.539101 | − | 2.40033i | ||||
\(109\) | −8.10753 | −0.776561 | −0.388280 | − | 0.921541i | \(-0.626931\pi\) | ||||
−0.388280 | + | 0.921541i | \(0.626931\pi\) | |||||||
\(110\) | −8.05167 | + | 25.4159i | −0.767696 | + | 2.42331i | ||||
\(111\) | −2.53998 | + | 1.36303i | −0.241084 | + | 0.129373i | ||||
\(112\) | 10.6641 | + | 32.8207i | 1.00766 | + | 3.10126i | ||||
\(113\) | 0.00839206 | − | 0.0115507i | 0.000789459 | − | 0.00108660i | −0.808622 | − | 0.588328i | \(-0.799786\pi\) |
0.809412 | + | 0.587242i | \(0.199786\pi\) | |||||||
\(114\) | 3.40146 | − | 7.04235i | 0.318576 | − | 0.659576i | ||||
\(115\) | −16.4833 | − | 5.35574i | −1.53707 | − | 0.499425i | ||||
\(116\) | 13.7141 | − | 42.2078i | 1.27333 | − | 3.91889i | ||||
\(117\) | 0.528715 | + | 10.8037i | 0.0488798 | + | 0.998805i | ||||
\(118\) | 10.7169 | − | 14.7505i | 0.986570 | − | 1.35790i | ||||
\(119\) | −1.04326 | − | 3.21082i | −0.0956353 | − | 0.294335i | ||||
\(120\) | −35.8265 | + | 19.2256i | −3.27050 | + | 1.75505i | ||||
\(121\) | 8.99346 | + | 6.33385i | 0.817587 | + | 0.575805i | ||||
\(122\) | 2.27363 | 0.205844 | ||||||||
\(123\) | 3.78678 | + | 3.62893i | 0.341442 | + | 0.327209i | ||||
\(124\) | 22.4623 | − | 30.9167i | 2.01717 | − | 2.77640i | ||||
\(125\) | 1.63775 | − | 1.18989i | 0.146485 | − | 0.106427i | ||||
\(126\) | −20.5743 | + | 16.3297i | −1.83290 | + | 1.45477i | ||||
\(127\) | −0.387722 | − | 0.125979i | −0.0344048 | − | 0.0111788i | 0.291764 | − | 0.956490i | \(-0.405758\pi\) |
−0.326169 | + | 0.945312i | \(0.605758\pi\) | |||||||
\(128\) | 2.38357 | + | 3.28071i | 0.210680 | + | 0.289976i | ||||
\(129\) | −0.163787 | − | 0.0223795i | −0.0144207 | − | 0.00197041i | ||||
\(130\) | 27.5075 | − | 9.13074i | 2.41257 | − | 0.800819i | ||||
\(131\) | 5.22696 | 0.456682 | 0.228341 | − | 0.973581i | \(-0.426670\pi\) | ||||
0.228341 | + | 0.973581i | \(0.426670\pi\) | |||||||
\(132\) | 5.21941 | + | 27.7786i | 0.454291 | + | 2.41782i | ||||
\(133\) | −5.71293 | −0.495373 | ||||||||
\(134\) | 4.16403 | + | 12.8156i | 0.359718 | + | 1.10710i | ||||
\(135\) | −11.9210 | − | 10.4882i | −1.02599 | − | 0.902684i | ||||
\(136\) | −4.58014 | − | 6.30402i | −0.392744 | − | 0.540566i | ||||
\(137\) | 2.55704 | − | 7.86977i | 0.218463 | − | 0.672360i | −0.780427 | − | 0.625247i | \(-0.784998\pi\) |
0.998890 | − | 0.0471124i | \(-0.0150019\pi\) | |||||||
\(138\) | −25.4330 | + | 4.58502i | −2.16500 | + | 0.390303i | ||||
\(139\) | −9.11356 | − | 12.5437i | −0.773002 | − | 1.06395i | −0.996020 | − | 0.0891319i | \(-0.971591\pi\) |
0.223018 | − | 0.974814i | \(-0.428409\pi\) | |||||||
\(140\) | 40.4847 | + | 29.4139i | 3.42158 | + | 2.48593i | ||||
\(141\) | −13.4799 | + | 14.0663i | −1.13522 | + | 1.18460i | ||||
\(142\) | 22.2262i | 1.86518i | ||||||||
\(143\) | −0.163807 | − | 11.9571i | −0.0136982 | − | 0.999906i | ||||
\(144\) | −17.1958 | + | 25.9198i | −1.43298 | + | 2.15998i | ||||
\(145\) | −8.51720 | − | 26.2132i | −0.707315 | − | 2.17689i | ||||
\(146\) | −20.2420 | + | 27.8608i | −1.67524 | + | 2.30577i | ||||
\(147\) | 6.36023 | + | 3.07200i | 0.524583 | + | 0.253374i | ||||
\(148\) | 7.78782 | + | 2.53042i | 0.640155 | + | 0.207999i | ||||
\(149\) | −6.35184 | − | 2.06384i | −0.520363 | − | 0.169076i | 0.0370471 | − | 0.999314i | \(-0.488205\pi\) |
−0.557410 | + | 0.830237i | \(0.688205\pi\) | |||||||
\(150\) | −8.59564 | + | 17.7963i | −0.701831 | + | 1.45306i | ||||
\(151\) | 1.17536 | + | 0.853946i | 0.0956491 | + | 0.0694931i | 0.634582 | − | 0.772856i | \(-0.281172\pi\) |
−0.538933 | + | 0.842349i | \(0.681172\pi\) | |||||||
\(152\) | −12.5405 | + | 4.07467i | −1.01717 | + | 0.330499i | ||||
\(153\) | 1.68225 | − | 2.53571i | 0.136001 | − | 0.205000i | ||||
\(154\) | 23.3670 | − | 17.2415i | 1.88297 | − | 1.38936i | ||||
\(155\) | − | 23.7336i | − | 1.90633i | ||||||
\(156\) | 21.1190 | − | 22.3189i | 1.69087 | − | 1.78694i | ||||
\(157\) | 9.26613 | + | 6.73224i | 0.739518 | + | 0.537291i | 0.892560 | − | 0.450928i | \(-0.148907\pi\) |
−0.153042 | + | 0.988220i | \(0.548907\pi\) | |||||||
\(158\) | −2.94307 | + | 2.13826i | −0.234138 | + | 0.170111i | ||||
\(159\) | −0.799284 | − | 4.43361i | −0.0633873 | − | 0.351608i | ||||
\(160\) | 34.6160 | + | 11.2474i | 2.73664 | + | 0.889187i | ||||
\(161\) | 11.0961 | + | 15.2725i | 0.874495 | + | 1.20364i | ||||
\(162\) | −23.0575 | − | 5.37512i | −1.81157 | − | 0.422309i | ||||
\(163\) | −13.5545 | + | 4.40412i | −1.06167 | + | 0.344957i | −0.787238 | − | 0.616650i | \(-0.788489\pi\) |
−0.274431 | + | 0.961607i | \(0.588489\pi\) | |||||||
\(164\) | − | 14.8992i | − | 1.16343i | ||||||
\(165\) | 12.7629 | + | 12.0518i | 0.993591 | + | 0.938233i | ||||
\(166\) | 7.05606 | 0.547656 | ||||||||
\(167\) | 5.63843 | − | 1.83204i | 0.436315 | − | 0.141767i | −0.0826198 | − | 0.996581i | \(-0.526329\pi\) |
0.518935 | + | 0.854814i | \(0.326329\pi\) | |||||||
\(168\) | 43.8789 | + | 5.99551i | 3.38533 | + | 0.462564i | ||||
\(169\) | −10.4196 | + | 7.77381i | −0.801507 | + | 0.597986i | ||||
\(170\) | −7.75464 | − | 2.51964i | −0.594754 | − | 0.193247i | ||||
\(171\) | −3.20122 | − | 4.03332i | −0.244803 | − | 0.308435i | ||||
\(172\) | 0.276021 | + | 0.379911i | 0.0210464 | + | 0.0289679i | ||||
\(173\) | −16.8150 | − | 12.2168i | −1.27842 | − | 0.928828i | −0.278917 | − | 0.960315i | \(-0.589976\pi\) |
−0.999504 | + | 0.0314874i | \(0.989976\pi\) | |||||||
\(174\) | −29.6725 | − | 28.4356i | −2.24947 | − | 2.15570i | ||||
\(175\) | 14.4368 | 1.09132 | ||||||||
\(176\) | 20.0073 | − | 27.9686i | 1.50811 | − | 2.10821i | ||||
\(177\) | −5.67640 | − | 10.5778i | −0.426664 | − | 0.795078i | ||||
\(178\) | 42.3287 | − | 13.7534i | 3.17267 | − | 1.03086i | ||||
\(179\) | −2.10958 | + | 2.90358i | −0.157677 | + | 0.217024i | −0.880545 | − | 0.473962i | \(-0.842823\pi\) |
0.722868 | + | 0.690986i | \(0.242823\pi\) | |||||||
\(180\) | 1.91935 | + | 45.0641i | 0.143060 | + | 3.35888i | ||||
\(181\) | −1.11050 | + | 3.41777i | −0.0825429 | + | 0.254041i | −0.983808 | − | 0.179228i | \(-0.942640\pi\) |
0.901265 | + | 0.433269i | \(0.142640\pi\) | |||||||
\(182\) | −30.0852 | − | 9.56505i | −2.23007 | − | 0.709009i | ||||
\(183\) | 0.651080 | − | 1.34799i | 0.0481292 | − | 0.0996462i | ||||
\(184\) | 35.2501 | + | 25.6107i | 2.59867 | + | 1.88804i | ||||
\(185\) | 4.83665 | − | 1.57152i | 0.355597 | − | 0.115541i | ||||
\(186\) | −16.7337 | − | 31.1829i | −1.22698 | − | 2.28644i | ||||
\(187\) | −1.95730 | + | 2.73614i | −0.143132 | + | 0.200087i | ||||
\(188\) | 55.3442 | 4.03639 | ||||||||
\(189\) | 3.78987 | + | 16.8743i | 0.275673 | + | 1.22743i | ||||
\(190\) | −8.11005 | + | 11.1625i | −0.588365 | + | 0.809815i | ||||
\(191\) | 8.46614 | + | 11.6526i | 0.612589 | + | 0.843156i | 0.996787 | − | 0.0800946i | \(-0.0255222\pi\) |
−0.384199 | + | 0.923250i | \(0.625522\pi\) | |||||||
\(192\) | 18.0638 | − | 3.25651i | 1.30364 | − | 0.235019i | ||||
\(193\) | 1.95427 | − | 6.01463i | 0.140672 | − | 0.432943i | −0.855757 | − | 0.517377i | \(-0.826908\pi\) |
0.996429 | + | 0.0844345i | \(0.0269084\pi\) | |||||||
\(194\) | −15.1087 | + | 10.9771i | −1.08474 | + | 0.788112i | ||||
\(195\) | 2.46366 | − | 18.9234i | 0.176426 | − | 1.35513i | ||||
\(196\) | −6.20033 | − | 19.0827i | −0.442881 | − | 1.36305i | ||||
\(197\) | − | 11.3521i | − | 0.808803i | −0.914582 | − | 0.404401i | \(-0.867480\pi\) | ||
0.914582 | − | 0.404401i | \(-0.132520\pi\) | |||||||
\(198\) | 25.2661 | + | 6.83585i | 1.79558 | + | 0.485803i | ||||
\(199\) | −12.2961 | −0.871650 | −0.435825 | − | 0.900031i | \(-0.643543\pi\) | ||||
−0.435825 | + | 0.900031i | \(0.643543\pi\) | |||||||
\(200\) | 31.6905 | − | 10.2969i | 2.24086 | − | 0.728098i | ||||
\(201\) | 8.79052 | + | 1.20112i | 0.620036 | + | 0.0847202i | ||||
\(202\) | −5.60788 | − | 7.71858i | −0.394569 | − | 0.543077i | ||||
\(203\) | −9.27708 | + | 28.5519i | −0.651123 | + | 2.00395i | ||||
\(204\) | −8.50710 | + | 1.53365i | −0.595616 | + | 0.107377i | ||||
\(205\) | −5.43888 | − | 7.48598i | −0.379868 | − | 0.522844i | ||||
\(206\) | −12.9275 | + | 17.7932i | −0.900703 | + | 1.23971i | ||||
\(207\) | −4.56467 | + | 16.3917i | −0.317267 | + | 1.13930i | ||||
\(208\) | −37.3830 | + | 0.236769i | −2.59204 | + | 0.0164169i | ||||
\(209\) | 3.37996 | + | 4.58079i | 0.233797 | + | 0.316860i | ||||
\(210\) | 40.8333 | − | 21.9124i | 2.81776 | − | 1.51210i | ||||
\(211\) | −23.4445 | + | 7.61759i | −1.61399 | + | 0.524416i | −0.970512 | − | 0.241051i | \(-0.922508\pi\) |
−0.643475 | + | 0.765467i | \(0.722508\pi\) | |||||||
\(212\) | −7.52226 | + | 10.3535i | −0.516631 | + | 0.711081i | ||||
\(213\) | 13.1775 | + | 6.36473i | 0.902905 | + | 0.436104i | ||||
\(214\) | −27.2375 | − | 8.85000i | −1.86192 | − | 0.604974i | ||||
\(215\) | 0.277369 | + | 0.0901228i | 0.0189164 | + | 0.00614632i | ||||
\(216\) | 20.3546 | + | 34.3380i | 1.38495 | + | 2.33640i | ||||
\(217\) | −15.1949 | + | 20.9140i | −1.03150 | + | 1.41973i | ||||
\(218\) | 20.2841 | − | 6.59071i | 1.37381 | − | 0.446379i | ||||
\(219\) | 10.7216 | + | 19.9794i | 0.724496 | + | 1.35008i | ||||
\(220\) | −0.367264 | − | 49.8641i | −0.0247609 | − | 3.36183i | ||||
\(221\) | 3.65714 | − | 0.0231629i | 0.246006 | − | 0.00155810i | ||||
\(222\) | 5.24670 | − | 5.47492i | 0.352136 | − | 0.367453i | ||||
\(223\) | −7.85248 | + | 10.8080i | −0.525841 | + | 0.723758i | −0.986490 | − | 0.163824i | \(-0.947617\pi\) |
0.460648 | + | 0.887583i | \(0.347617\pi\) | |||||||
\(224\) | −23.3026 | − | 32.0733i | −1.55697 | − | 2.14298i | ||||
\(225\) | 8.08963 | + | 10.1924i | 0.539309 | + | 0.679492i | ||||
\(226\) | −0.0116063 | + | 0.0357205i | −0.000772039 | + | 0.00237609i | ||||
\(227\) | −0.791915 | − | 1.08998i | −0.0525612 | − | 0.0723444i | 0.781927 | − | 0.623370i | \(-0.214237\pi\) |
−0.834489 | + | 0.551025i | \(0.814237\pi\) | |||||||
\(228\) | −1.98030 | + | 14.4930i | −0.131148 | + | 0.959825i | ||||
\(229\) | 8.13093 | − | 2.64190i | 0.537307 | − | 0.174582i | −0.0277783 | − | 0.999614i | \(-0.508843\pi\) |
0.565085 | + | 0.825032i | \(0.308843\pi\) | |||||||
\(230\) | 45.5930 | 3.00631 | ||||||||
\(231\) | −3.53073 | − | 18.7911i | −0.232305 | − | 1.23637i | ||||
\(232\) | 69.2915i | 4.54921i | ||||||||
\(233\) | −0.0258338 | − | 0.0795083i | −0.00169243 | − | 0.00520876i | 0.950207 | − | 0.311620i | \(-0.100872\pi\) |
−0.951899 | + | 0.306411i | \(0.900872\pi\) | |||||||
\(234\) | −10.1053 | − | 26.5999i | −0.660601 | − | 1.73889i | ||||
\(235\) | 27.8073 | − | 20.2032i | 1.81395 | − | 1.31791i | ||||
\(236\) | −10.5380 | + | 32.4327i | −0.685967 | + | 2.11119i | ||||
\(237\) | 0.424952 | + | 2.35720i | 0.0276036 | + | 0.153117i | ||||
\(238\) | 5.22022 | + | 7.18502i | 0.338377 | + | 0.465735i | ||||
\(239\) | −6.01503 | + | 8.27898i | −0.389080 | + | 0.535523i | −0.957962 | − | 0.286897i | \(-0.907376\pi\) |
0.568881 | + | 0.822420i | \(0.307376\pi\) | |||||||
\(240\) | 37.9690 | − | 39.6206i | 2.45089 | − | 2.55750i | ||||
\(241\) | −7.80688 | −0.502886 | −0.251443 | − | 0.967872i | \(-0.580905\pi\) | ||||
−0.251443 | + | 0.967872i | \(0.580905\pi\) | |||||||
\(242\) | −27.6495 | − | 8.53568i | −1.77737 | − | 0.548694i | ||||
\(243\) | −9.78959 | + | 12.1311i | −0.628003 | + | 0.778211i | ||||
\(244\) | −4.04438 | + | 1.31410i | −0.258915 | + | 0.0841265i | ||||
\(245\) | −10.0813 | − | 7.32452i | −0.644073 | − | 0.467947i | ||||
\(246\) | −12.4241 | − | 6.00084i | −0.792131 | − | 0.382600i | ||||
\(247\) | 1.87510 | − | 5.89780i | 0.119310 | − | 0.375268i | ||||
\(248\) | −18.4379 | + | 56.7461i | −1.17081 | + | 3.60338i | ||||
\(249\) | 2.02058 | − | 4.18340i | 0.128049 | − | 0.265112i | ||||
\(250\) | −3.13018 | + | 4.30832i | −0.197970 | + | 0.272482i | ||||
\(251\) | 26.1768 | − | 8.50536i | 1.65227 | − | 0.536854i | 0.673036 | − | 0.739609i | \(-0.264990\pi\) |
0.979229 | + | 0.202756i | \(0.0649897\pi\) | |||||||
\(252\) | 27.1599 | − | 40.9391i | 1.71091 | − | 2.57892i | ||||
\(253\) | 5.68107 | − | 17.9329i | 0.357166 | − | 1.12743i | ||||
\(254\) | 1.07245 | 0.0672912 | ||||||||
\(255\) | −3.71448 | + | 3.87605i | −0.232610 | + | 0.242728i | ||||
\(256\) | 8.51638 | + | 6.18751i | 0.532274 | + | 0.386719i | ||||
\(257\) | −15.9542 | − | 21.9591i | −0.995195 | − | 1.36977i | −0.928227 | − | 0.372014i | \(-0.878667\pi\) |
−0.0669680 | − | 0.997755i | \(-0.521333\pi\) | |||||||
\(258\) | 0.427970 | − | 0.0771536i | 0.0266442 | − | 0.00480337i | ||||
\(259\) | −5.26816 | − | 1.71173i | −0.327348 | − | 0.106362i | ||||
\(260\) | −43.6537 | + | 32.1406i | −2.70728 | + | 1.99328i | ||||
\(261\) | −25.3560 | + | 9.44938i | −1.56950 | + | 0.584902i | ||||
\(262\) | −13.0773 | + | 4.24906i | −0.807916 | + | 0.262508i | ||||
\(263\) | 4.83330 | 0.298034 | 0.149017 | − | 0.988835i | \(-0.452389\pi\) | ||||
0.149017 | + | 0.988835i | \(0.452389\pi\) | |||||||
\(264\) | −21.1529 | − | 38.7305i | −1.30187 | − | 2.38370i | ||||
\(265\) | 7.94800i | 0.488242i | ||||||||
\(266\) | 14.2931 | − | 4.64410i | 0.876365 | − | 0.284748i | ||||
\(267\) | 3.96718 | − | 29.0343i | 0.242787 | − | 1.77687i | ||||
\(268\) | −14.8142 | − | 20.3899i | −0.904918 | − | 1.24551i | ||||
\(269\) | −16.2671 | − | 5.28549i | −0.991821 | − | 0.322262i | −0.232228 | − | 0.972661i | \(-0.574602\pi\) |
−0.759592 | + | 0.650399i | \(0.774602\pi\) | |||||||
\(270\) | 38.3509 | + | 16.5497i | 2.33396 | + | 1.00718i | ||||
\(271\) | −15.7064 | + | 11.4114i | −0.954097 | + | 0.693192i | −0.951772 | − | 0.306806i | \(-0.900740\pi\) |
−0.00232434 | + | 0.999997i | \(0.500740\pi\) | |||||||
\(272\) | 8.50839 | + | 6.18171i | 0.515897 | + | 0.374821i | ||||
\(273\) | −14.2862 | + | 15.0979i | −0.864640 | + | 0.913765i | ||||
\(274\) | 21.7679i | 1.31505i | ||||||||
\(275\) | −8.54132 | − | 11.5759i | −0.515061 | − | 0.698051i | ||||
\(276\) | 42.5908 | − | 22.8556i | 2.56366 | − | 1.37574i | ||||
\(277\) | 28.0126 | − | 9.10186i | 1.68312 | − | 0.546878i | 0.697605 | − | 0.716483i | \(-0.254249\pi\) |
0.985512 | + | 0.169605i | \(0.0542493\pi\) | |||||||
\(278\) | 32.9980 | + | 23.9745i | 1.97909 | + | 1.43789i | ||||
\(279\) | −23.2796 | + | 0.991513i | −1.39371 | + | 0.0593603i | ||||
\(280\) | −74.3077 | − | 24.1440i | −4.44073 | − | 1.44288i | ||||
\(281\) | 20.9427 | + | 6.80469i | 1.24934 | + | 0.405934i | 0.857683 | − | 0.514179i | \(-0.171903\pi\) |
0.391653 | + | 0.920113i | \(0.371903\pi\) | |||||||
\(282\) | 22.2906 | − | 46.1502i | 1.32739 | − | 2.74821i | ||||
\(283\) | −3.32655 | + | 4.57861i | −0.197743 | + | 0.272170i | −0.896361 | − | 0.443325i | \(-0.853799\pi\) |
0.698618 | + | 0.715495i | \(0.253799\pi\) | |||||||
\(284\) | −12.8462 | − | 39.5364i | −0.762280 | − | 2.34606i | ||||
\(285\) | 4.29564 | + | 8.00481i | 0.254452 | + | 0.474164i | ||||
\(286\) | 10.1299 | + | 29.7822i | 0.598995 | + | 1.76106i | ||||
\(287\) | 10.0787i | 0.594928i | ||||||||
\(288\) | 9.58613 | − | 34.4237i | 0.564868 | − | 2.02844i | ||||
\(289\) | 12.9209 | + | 9.38760i | 0.760054 | + | 0.552212i | ||||
\(290\) | 42.6181 | + | 58.6588i | 2.50262 | + | 3.44456i | ||||
\(291\) | 2.18157 | + | 12.1011i | 0.127886 | + | 0.709379i | ||||
\(292\) | 19.9042 | − | 61.2588i | 1.16480 | − | 3.58490i | ||||
\(293\) | −5.47724 | − | 7.53878i | −0.319984 | − | 0.440420i | 0.618478 | − | 0.785802i | \(-0.287749\pi\) |
−0.938462 | + | 0.345382i | \(0.887749\pi\) | |||||||
\(294\) | −18.4098 | − | 2.51548i | −1.07368 | − | 0.146706i | ||||
\(295\) | 6.54467 | + | 20.1424i | 0.381045 | + | 1.17274i | ||||
\(296\) | −12.7851 | −0.743118 | ||||||||
\(297\) | 11.2881 | − | 13.0223i | 0.655001 | − | 0.755628i | ||||
\(298\) | 17.5693 | 1.01776 | ||||||||
\(299\) | −19.4087 | + | 6.44244i | −1.12243 | + | 0.372576i | ||||
\(300\) | 5.00430 | − | 36.6246i | 0.288923 | − | 2.11452i | ||||
\(301\) | −0.186718 | − | 0.256995i | −0.0107622 | − | 0.0148129i | ||||
\(302\) | −3.63479 | − | 1.18101i | −0.209158 | − | 0.0679597i | ||||
\(303\) | −6.18208 | + | 1.11449i | −0.355151 | + | 0.0640260i | ||||
\(304\) | 14.3978 | − | 10.4606i | 0.825772 | − | 0.599958i | ||||
\(305\) | −1.55236 | + | 2.13664i | −0.0888879 | + | 0.122344i | ||||
\(306\) | −2.14748 | + | 7.71157i | −0.122763 | + | 0.440841i | ||||
\(307\) | −9.93486 | −0.567012 | −0.283506 | − | 0.958970i | \(-0.591498\pi\) | ||||
−0.283506 | + | 0.958970i | \(0.591498\pi\) | |||||||
\(308\) | −31.6006 | + | 44.1751i | −1.80061 | + | 2.51711i | ||||
\(309\) | 6.84730 | + | 12.7598i | 0.389529 | + | 0.725878i | ||||
\(310\) | 19.2933 | + | 59.3788i | 1.09579 | + | 3.37249i | ||||
\(311\) | −6.78079 | + | 9.33296i | −0.384503 | + | 0.529224i | −0.956771 | − | 0.290844i | \(-0.906064\pi\) |
0.572267 | + | 0.820067i | \(0.306064\pi\) | |||||||
\(312\) | −20.5915 | + | 43.3310i | −1.16576 | + | 2.45314i | ||||
\(313\) | −1.83276 | + | 5.64067i | −0.103594 | + | 0.318830i | −0.989398 | − | 0.145230i | \(-0.953608\pi\) |
0.885804 | + | 0.464060i | \(0.153608\pi\) | |||||||
\(314\) | −28.6555 | − | 9.31074i | −1.61712 | − | 0.525436i | ||||
\(315\) | −1.29836 | − | 30.4841i | −0.0731545 | − | 1.71759i | ||||
\(316\) | 3.99933 | − | 5.50461i | 0.224980 | − | 0.309658i | ||||
\(317\) | 8.55243 | + | 26.3217i | 0.480352 | + | 1.47837i | 0.838601 | + | 0.544746i | \(0.183374\pi\) |
−0.358249 | + | 0.933626i | \(0.616626\pi\) | |||||||
\(318\) | 5.60385 | + | 10.4426i | 0.314248 | + | 0.585594i | ||||
\(319\) | 28.3824 | − | 9.45367i | 1.58911 | − | 0.529304i | ||||
\(320\) | −32.3824 | −1.81023 | ||||||||
\(321\) | −13.0468 | + | 13.6143i | −0.728200 | + | 0.759875i | ||||
\(322\) | −40.1763 | − | 29.1898i | −2.23894 | − | 1.62668i | ||||
\(323\) | −1.40853 | + | 1.02335i | −0.0783725 | + | 0.0569409i | ||||
\(324\) | 44.1219 | − | 3.76526i | 2.45122 | − | 0.209181i | ||||
\(325\) | −4.73846 | + | 14.9040i | −0.262843 | + | 0.826726i | ||||
\(326\) | 30.3316 | − | 22.0372i | 1.67991 | − | 1.22053i | ||||
\(327\) | 1.90109 | − | 13.9134i | 0.105131 | − | 0.769412i | ||||
\(328\) | 7.18851 | + | 22.1240i | 0.396919 | + | 1.22159i | ||||
\(329\) | −37.4382 | −2.06404 | ||||||||
\(330\) | −41.7284 | − | 19.7771i | −2.29707 | − | 1.08870i | ||||
\(331\) | 9.66293i | 0.531123i | 0.964094 | + | 0.265561i | \(0.0855573\pi\) | ||||
−0.964094 | + | 0.265561i | \(0.914443\pi\) | |||||||
\(332\) | −12.5515 | + | 4.07822i | −0.688852 | + | 0.223822i | ||||
\(333\) | −1.74352 | − | 4.67848i | −0.0955443 | − | 0.256379i | ||||
\(334\) | −12.6174 | + | 9.16710i | −0.690395 | + | 0.501601i | ||||
\(335\) | −14.8865 | − | 4.83692i | −0.813337 | − | 0.264269i | ||||
\(336\) | −58.8243 | + | 10.6047i | −3.20913 | + | 0.578536i | ||||
\(337\) | −10.6946 | − | 14.7198i | −0.582570 | − | 0.801839i | 0.411404 | − | 0.911453i | \(-0.365038\pi\) |
−0.993974 | + | 0.109614i | \(0.965038\pi\) | |||||||
\(338\) | 19.7492 | − | 27.9194i | 1.07421 | − | 1.51861i | ||||
\(339\) | 0.0178544 | + | 0.0171101i | 0.000969716 | + | 0.000929294i | ||||
\(340\) | 15.2504 | 0.827070 | ||||||||
\(341\) | 25.7592 | − | 0.189724i | 1.39494 | − | 0.0102741i | ||||
\(342\) | 11.2878 | + | 7.48858i | 0.610375 | + | 0.404936i | ||||
\(343\) | −3.00536 | − | 9.24953i | −0.162274 | − | 0.499428i | ||||
\(344\) | −0.593165 | − | 0.430959i | −0.0319813 | − | 0.0232358i | ||||
\(345\) | 13.0561 | − | 27.0312i | 0.702916 | − | 1.45531i | ||||
\(346\) | 52.0004 | + | 16.8960i | 2.79556 | + | 0.908332i | ||||
\(347\) | 0.356183 | − | 1.09622i | 0.0191209 | − | 0.0588480i | −0.941041 | − | 0.338293i | \(-0.890150\pi\) |
0.960162 | + | 0.279445i | \(0.0901505\pi\) | |||||||
\(348\) | 69.2172 | + | 33.4320i | 3.71043 | + | 1.79214i | ||||
\(349\) | −2.34762 | − | 1.70565i | −0.125665 | − | 0.0913012i | 0.523177 | − | 0.852224i | \(-0.324747\pi\) |
−0.648842 | + | 0.760923i | \(0.724747\pi\) | |||||||
\(350\) | −36.1193 | + | 11.7359i | −1.93066 | + | 0.627308i | ||||
\(351\) | −18.6643 | − | 1.62598i | −0.996227 | − | 0.0867882i | ||||
\(352\) | −11.9307 | + | 37.6603i | −0.635906 | + | 2.00730i | ||||
\(353\) | 13.2839 | 0.707032 | 0.353516 | − | 0.935429i | \(-0.384986\pi\) | ||||
0.353516 | + | 0.935429i | \(0.384986\pi\) | |||||||
\(354\) | 22.8005 | + | 21.8501i | 1.21183 | + | 1.16132i | ||||
\(355\) | −20.8871 | − | 15.1753i | −1.10857 | − | 0.805423i | ||||
\(356\) | −67.3461 | + | 48.9298i | −3.56934 | + | 2.59327i | ||||
\(357\) | 5.75473 | − | 1.03745i | 0.304572 | − | 0.0549078i | ||||
\(358\) | 2.91756 | − | 8.97932i | 0.154198 | − | 0.474572i | ||||
\(359\) | −9.68109 | − | 13.3249i | −0.510949 | − | 0.703260i | 0.473130 | − | 0.880992i | \(-0.343124\pi\) |
−0.984079 | + | 0.177732i | \(0.943124\pi\) | |||||||
\(360\) | −24.5924 | − | 65.9901i | −1.29614 | − | 3.47799i | ||||
\(361\) | −4.96091 | − | 15.2681i | −0.261100 | − | 0.803585i | ||||
\(362\) | − | 9.45361i | − | 0.496871i | ||||||
\(363\) | −12.9784 | + | 13.9485i | −0.681189 | + | 0.732108i | ||||
\(364\) | 59.0447 | − | 0.373965i | 3.09478 | − | 0.0196011i | ||||
\(365\) | −12.3615 | − | 38.0449i | −0.647033 | − | 1.99136i | ||||
\(366\) | −0.533131 | + | 3.90178i | −0.0278672 | + | 0.203949i | ||||
\(367\) | 10.6460 | − | 7.73478i | 0.555717 | − | 0.403752i | −0.274172 | − | 0.961681i | \(-0.588404\pi\) |
0.829889 | + | 0.557928i | \(0.188404\pi\) | |||||||
\(368\) | −55.9291 | − | 18.1725i | −2.91551 | − | 0.947306i | ||||
\(369\) | −7.11556 | + | 5.64758i | −0.370421 | + | 0.294001i | ||||
\(370\) | −10.8232 | + | 7.86353i | −0.562673 | + | 0.408806i | ||||
\(371\) | 5.08851 | − | 7.00374i | 0.264183 | − | 0.363616i | ||||
\(372\) | 47.7893 | + | 45.7972i | 2.47776 | + | 2.37447i | ||||
\(373\) | 18.1879i | 0.941735i | 0.882204 | + | 0.470867i | \(0.156059\pi\) | ||||
−0.882204 | + | 0.470867i | \(0.843941\pi\) | |||||||
\(374\) | 2.67269 | − | 8.43663i | 0.138202 | − | 0.436248i | ||||
\(375\) | 1.65796 | + | 3.08956i | 0.0856165 | + | 0.159544i | ||||
\(376\) | −82.1812 | + | 26.7023i | −4.23817 | + | 1.37707i | ||||
\(377\) | −26.4310 | − | 18.9486i | −1.36126 | − | 0.975904i | ||||
\(378\) | −23.1991 | − | 39.1367i | −1.19324 | − | 2.01298i | ||||
\(379\) | 5.33536 | + | 1.73356i | 0.274059 | + | 0.0890472i | 0.442822 | − | 0.896609i | \(-0.353977\pi\) |
−0.168763 | + | 0.985657i | \(0.553977\pi\) | |||||||
\(380\) | 7.97469 | − | 24.5436i | 0.409093 | − | 1.25906i | ||||
\(381\) | 0.307107 | − | 0.635832i | 0.0157336 | − | 0.0325746i | ||||
\(382\) | −30.6539 | − | 22.2713i | −1.56839 | − | 1.13950i | ||||
\(383\) | 2.04331 | + | 6.28866i | 0.104408 | + | 0.321336i | 0.989591 | − | 0.143908i | \(-0.0459668\pi\) |
−0.885183 | + | 0.465243i | \(0.845967\pi\) | |||||||
\(384\) | −6.18895 | + | 3.32119i | −0.315829 | + | 0.169484i | ||||
\(385\) | 0.248440 | + | 33.7311i | 0.0126617 | + | 1.71910i | ||||
\(386\) | 16.6366i | 0.846779i | ||||||||
\(387\) | 0.0768112 | − | 0.275829i | 0.00390453 | − | 0.0140212i | ||||
\(388\) | 20.5312 | − | 28.2588i | 1.04232 | − | 1.43463i | ||||
\(389\) | 10.9426 | + | 15.0612i | 0.554811 | + | 0.763632i | 0.990655 | − | 0.136390i | \(-0.0435500\pi\) |
−0.435844 | + | 0.900022i | \(0.643550\pi\) | |||||||
\(390\) | 9.21923 | + | 49.3468i | 0.466834 | + | 2.49877i | ||||
\(391\) | 5.47150 | + | 1.77780i | 0.276706 | + | 0.0899071i | ||||
\(392\) | 18.4139 | + | 25.3445i | 0.930041 | + | 1.28009i | ||||
\(393\) | −1.22564 | + | 8.97002i | −0.0618255 | + | 0.452478i | ||||
\(394\) | 9.22825 | + | 28.4016i | 0.464912 | + | 1.43085i | ||||
\(395\) | − | 4.22568i | − | 0.212617i | ||||||
\(396\) | −48.8949 | + | 2.44340i | −2.45706 | + | 0.122785i | ||||
\(397\) | − | 26.5303i | − | 1.33152i | −0.746167 | − | 0.665759i | \(-0.768108\pi\) | ||
0.746167 | − | 0.665759i | \(-0.231892\pi\) | |||||||
\(398\) | 30.7635 | − | 9.99567i | 1.54204 | − | 0.501038i | ||||
\(399\) | 1.33959 | − | 9.80398i | 0.0670636 | − | 0.490813i | ||||
\(400\) | −36.3839 | + | 26.4345i | −1.81920 | + | 1.32172i | ||||
\(401\) | 3.30796 | − | 10.1808i | 0.165191 | − | 0.508407i | −0.833859 | − | 0.551978i | \(-0.813873\pi\) |
0.999050 | + | 0.0435706i | \(0.0138733\pi\) | |||||||
\(402\) | −22.9693 | + | 4.14086i | −1.14560 | + | 0.206527i | ||||
\(403\) | −16.6035 | − | 22.5510i | −0.827079 | − | 1.12335i | ||||
\(404\) | 14.4366 | + | 10.4888i | 0.718246 | + | 0.521836i | ||||
\(405\) | 20.7942 | − | 17.9983i | 1.03327 | − | 0.894344i | ||||
\(406\) | − | 78.9751i | − | 3.91947i | ||||||
\(407\) | 1.74431 | + | 5.23688i | 0.0864623 | + | 0.259583i | ||||
\(408\) | 11.8923 | − | 6.38181i | 0.588759 | − | 0.315947i | ||||
\(409\) | 7.31146 | + | 22.5024i | 0.361528 | + | 1.11267i | 0.952127 | + | 0.305704i | \(0.0988918\pi\) |
−0.590598 | + | 0.806966i | \(0.701108\pi\) | |||||||
\(410\) | 19.6929 | + | 14.3077i | 0.972563 | + | 0.706608i | ||||
\(411\) | 12.9058 | + | 6.23350i | 0.636594 | + | 0.307476i | ||||
\(412\) | 12.7118 | − | 39.1228i | 0.626263 | − | 1.92744i | ||||
\(413\) | 7.12856 | − | 21.9395i | 0.350774 | − | 1.07957i | ||||
\(414\) | −1.90472 | − | 44.7208i | −0.0936121 | − | 2.19791i | ||||
\(415\) | −4.81765 | + | 6.63093i | −0.236489 | + | 0.325500i | ||||
\(416\) | 40.7596 | − | 13.5296i | 1.99840 | − | 0.663343i | ||||
\(417\) | 23.6634 | − | 12.6985i | 1.15880 | − | 0.621849i | ||||
\(418\) | −12.1801 | − | 8.71299i | −0.595746 | − | 0.426166i | ||||
\(419\) | − | 26.4172i | − | 1.29057i | −0.763943 | − | 0.645283i | \(-0.776739\pi\) | ||
0.763943 | − | 0.645283i | \(-0.223261\pi\) | |||||||
\(420\) | −59.9703 | + | 62.5789i | −2.92625 | + | 3.05354i | ||||
\(421\) | −10.1886 | + | 14.0235i | −0.496564 | + | 0.683462i | −0.981582 | − | 0.191042i | \(-0.938813\pi\) |
0.485017 | + | 0.874504i | \(0.338813\pi\) | |||||||
\(422\) | 52.4631 | − | 38.1166i | 2.55386 | − | 1.85549i | ||||
\(423\) | −20.9784 | − | 26.4313i | −1.02000 | − | 1.28513i | ||||
\(424\) | 6.17456 | − | 19.0033i | 0.299863 | − | 0.922883i | ||||
\(425\) | 3.55941 | − | 2.58606i | 0.172657 | − | 0.125442i | ||||
\(426\) | −38.1425 | − | 5.21170i | −1.84801 | − | 0.252508i | ||||
\(427\) | 2.73587 | − | 0.888937i | 0.132398 | − | 0.0430187i | ||||
\(428\) | 53.5658 | 2.58920 | ||||||||
\(429\) | 20.5581 | + | 2.52266i | 0.992555 | + | 0.121795i | ||||
\(430\) | −0.767208 | −0.0369981 | ||||||||
\(431\) | 24.6630 | − | 8.01349i | 1.18797 | − | 0.385996i | 0.352651 | − | 0.935755i | \(-0.385280\pi\) |
0.835323 | + | 0.549759i | \(0.185280\pi\) | |||||||
\(432\) | −40.4489 | − | 35.5875i | −1.94610 | − | 1.71220i | ||||
\(433\) | −23.6045 | + | 17.1496i | −1.13436 | + | 0.824160i | −0.986323 | − | 0.164823i | \(-0.947295\pi\) |
−0.148035 | + | 0.988982i | \(0.547295\pi\) | |||||||
\(434\) | 21.0146 | − | 64.6764i | 1.00873 | − | 3.10457i | ||||
\(435\) | 46.9818 | − | 8.46981i | 2.25261 | − | 0.406096i | ||||
\(436\) | −32.2726 | + | 23.4474i | −1.54558 | + | 1.12293i | ||||
\(437\) | 5.72227 | − | 7.87602i | 0.273733 | − | 0.376761i | ||||
\(438\) | −43.0656 | − | 41.2704i | −2.05775 | − | 1.97198i | ||||
\(439\) | − | 22.5664i | − | 1.07704i | −0.842614 | − | 0.538518i | \(-0.818985\pi\) | ||
0.842614 | − | 0.538518i | \(-0.181015\pi\) | |||||||
\(440\) | 24.6036 | + | 73.8665i | 1.17293 | + | 3.52145i | ||||
\(441\) | −6.76325 | + | 10.1945i | −0.322060 | + | 0.485452i | ||||
\(442\) | −9.13092 | + | 3.03088i | −0.434314 | + | 0.144164i | ||||
\(443\) | −16.1158 | + | 22.1815i | −0.765683 | + | 1.05387i | 0.231037 | + | 0.972945i | \(0.425788\pi\) |
−0.996720 | + | 0.0809275i | \(0.974212\pi\) | |||||||
\(444\) | −6.16859 | + | 12.7714i | −0.292748 | + | 0.606103i | ||||
\(445\) | −15.9759 | + | 49.1688i | −0.757330 | + | 2.33082i | ||||
\(446\) | 10.8600 | − | 33.4238i | 0.514238 | − | 1.58266i | ||||
\(447\) | 5.03117 | − | 10.4165i | 0.237966 | − | 0.492683i | ||||
\(448\) | 28.5353 | + | 20.7321i | 1.34816 | + | 0.979498i | ||||
\(449\) | 5.33604 | + | 16.4226i | 0.251823 | + | 0.775032i | 0.994439 | + | 0.105315i | \(0.0335849\pi\) |
−0.742616 | + | 0.669718i | \(0.766415\pi\) | |||||||
\(450\) | −28.5248 | − | 18.9240i | −1.34467 | − | 0.892085i | ||||
\(451\) | 8.08141 | − | 5.96292i | 0.380539 | − | 0.280783i | ||||
\(452\) | − | 0.0702485i | − | 0.00330421i | ||||||
\(453\) | −1.74106 | + | 1.81680i | −0.0818023 | + | 0.0853605i | ||||
\(454\) | 2.86734 | + | 2.08324i | 0.134571 | + | 0.0977714i | ||||
\(455\) | 29.5300 | − | 21.7419i | 1.38439 | − | 1.01928i | ||||
\(456\) | −4.05199 | − | 22.4763i | −0.189752 | − | 1.05255i | ||||
\(457\) | −11.5537 | + | 35.5585i | −0.540457 | + | 1.66336i | 0.191096 | + | 0.981571i | \(0.438796\pi\) |
−0.731553 | + | 0.681784i | \(0.761204\pi\) | |||||||
\(458\) | −18.1950 | + | 13.2195i | −0.850197 | + | 0.617705i | ||||
\(459\) | 3.95708 | + | 3.48149i | 0.184701 | + | 0.162502i | ||||
\(460\) | −81.1018 | + | 26.3516i | −3.78139 | + | 1.22865i | ||||
\(461\) | 1.05230i | 0.0490105i | 0.999700 | + | 0.0245052i | \(0.00780104\pi\) | ||||
−0.999700 | + | 0.0245052i | \(0.992199\pi\) | |||||||
\(462\) | 24.1090 | + | 44.1431i | 1.12165 | + | 2.05372i | ||||
\(463\) | 29.5477i | 1.37320i | 0.727037 | + | 0.686598i | \(0.240897\pi\) | ||||
−0.727037 | + | 0.686598i | \(0.759103\pi\) | |||||||
\(464\) | −28.8996 | − | 88.9438i | −1.34163 | − | 4.12911i | ||||
\(465\) | 40.7294 | + | 5.56517i | 1.88878 | + | 0.258079i | ||||
\(466\) | 0.129266 | + | 0.177920i | 0.00598815 | + | 0.00824198i | ||||
\(467\) | 11.0499 | + | 3.59034i | 0.511330 | + | 0.166141i | 0.553307 | − | 0.832977i | \(-0.313366\pi\) |
−0.0419768 | + | 0.999119i | \(0.513366\pi\) | |||||||
\(468\) | 33.3495 | + | 41.4759i | 1.54158 | + | 1.91722i | ||||
\(469\) | 10.0212 | + | 13.7930i | 0.462736 | + | 0.636901i | ||||
\(470\) | −53.1472 | + | 73.1508i | −2.45150 | + | 3.37420i | ||||
\(471\) | −13.7260 | + | 14.3231i | −0.632461 | + | 0.659971i | ||||
\(472\) | − | 53.2440i | − | 2.45075i | ||||||
\(473\) | −0.0955972 | + | 0.301763i | −0.00439557 | + | 0.0138751i | ||||
\(474\) | −2.97938 | − | 5.55200i | −0.136847 | − | 0.255012i | ||||
\(475\) | −2.30066 | − | 7.08070i | −0.105561 | − | 0.324885i | ||||
\(476\) | −13.4386 | − | 9.76372i | −0.615957 | − | 0.447519i | ||||
\(477\) | 7.79596 | − | 0.332041i | 0.356953 | − | 0.0152031i | ||||
\(478\) | 8.31884 | − | 25.6027i | 0.380495 | − | 1.17104i | ||||
\(479\) | 25.5786 | + | 8.31100i | 1.16872 | + | 0.379739i | 0.828164 | − | 0.560486i | \(-0.189386\pi\) |
0.340553 | + | 0.940225i | \(0.389386\pi\) | |||||||
\(480\) | −27.4187 | + | 56.7674i | −1.25149 | + | 2.59106i | ||||
\(481\) | 3.49624 | − | 4.87682i | 0.159415 | − | 0.222364i | ||||
\(482\) | 19.5319 | − | 6.34631i | 0.889655 | − | 0.289066i | ||||
\(483\) | −28.8110 | + | 15.4609i | −1.31095 | + | 0.703496i | ||||
\(484\) | 54.1169 | − | 0.797217i | 2.45986 | − | 0.0362371i | ||||
\(485\) | − | 21.6933i | − | 0.985041i | ||||||
\(486\) | 14.6309 | − | 38.3087i | 0.663671 | − | 1.73772i | ||||
\(487\) | 5.31616 | − | 7.31706i | 0.240898 | − | 0.331568i | −0.671400 | − | 0.741096i | \(-0.734307\pi\) |
0.912298 | + | 0.409528i | \(0.134307\pi\) | |||||||
\(488\) | 5.37152 | − | 3.90264i | 0.243157 | − | 0.176664i | ||||
\(489\) | −4.37961 | − | 24.2936i | −0.198053 | − | 1.09859i | ||||
\(490\) | 31.1766 | + | 10.1299i | 1.40841 | + | 0.457621i | ||||
\(491\) | −18.9572 | + | 13.7732i | −0.855526 | + | 0.621576i | −0.926664 | − | 0.375891i | \(-0.877337\pi\) |
0.0711382 | + | 0.997466i | \(0.477337\pi\) | |||||||
\(492\) | 25.5686 | + | 3.49363i | 1.15272 | + | 0.157505i | ||||
\(493\) | 2.82722 | + | 8.70130i | 0.127332 | + | 0.391887i | ||||
\(494\) | 0.103110 | + | 16.2799i | 0.00463916 | + | 0.732468i | ||||
\(495\) | −23.6749 | + | 19.0765i | −1.06411 | + | 0.857426i | ||||
\(496\) | − | 80.5302i | − | 3.61591i | ||||||
\(497\) | 8.68993 | + | 26.7449i | 0.389797 | + | 1.19967i | ||||
\(498\) | −1.65454 | + | 12.1089i | −0.0741416 | + | 0.542614i | ||||
\(499\) | 17.2727 | + | 23.7739i | 0.773233 | + | 1.06426i | 0.995997 | + | 0.0893920i | \(0.0284924\pi\) |
−0.222763 | + | 0.974873i | \(0.571508\pi\) | |||||||
\(500\) | 3.07793 | − | 9.47290i | 0.137649 | − | 0.423641i | ||||
\(501\) | 1.82184 | + | 10.1057i | 0.0813940 | + | 0.451491i | ||||
\(502\) | −58.5773 | + | 42.5589i | −2.61443 | + | 1.89950i | ||||
\(503\) | 27.5402 | + | 20.0091i | 1.22796 | + | 0.892162i | 0.996735 | − | 0.0807392i | \(-0.0257281\pi\) |
0.231221 | + | 0.972901i | \(0.425728\pi\) | |||||||
\(504\) | −20.5778 | + | 73.8949i | −0.916610 | + | 3.29154i | ||||
\(505\) | 11.0824 | 0.493161 | ||||||||
\(506\) | 0.364466 | + | 49.4842i | 0.0162025 | + | 2.19984i | ||||
\(507\) | −10.8974 | − | 19.7039i | −0.483973 | − | 0.875083i | ||||
\(508\) | −1.90769 | + | 0.619846i | −0.0846401 | + | 0.0275012i | ||||
\(509\) | −5.25434 | − | 3.81750i | −0.232895 | − | 0.169208i | 0.465217 | − | 0.885197i | \(-0.345976\pi\) |
−0.698112 | + | 0.715989i | \(0.745976\pi\) | |||||||
\(510\) | 6.14231 | − | 12.7170i | 0.271986 | − | 0.563117i | ||||
\(511\) | −13.4644 | + | 41.4392i | −0.595630 | + | 1.83316i | ||||
\(512\) | −34.0503 | − | 11.0636i | −1.50483 | − | 0.488947i | ||||
\(513\) | 7.67223 | − | 4.54788i | 0.338737 | − | 0.200794i | ||||
\(514\) | 57.7663 | + | 41.9697i | 2.54796 | + | 1.85120i | ||||
\(515\) | −7.89467 | − | 24.2973i | −0.347881 | − | 1.07067i | ||||
\(516\) | −0.716689 | + | 0.384598i | −0.0315505 | + | 0.0169310i | ||||
\(517\) | 22.1497 | + | 30.0190i | 0.974144 | + | 1.32024i | ||||
\(518\) | 14.5718 | 0.640249 | ||||||||
\(519\) | 24.9082 | − | 25.9917i | 1.09335 | − | 1.14091i | ||||
\(520\) | 49.3147 | − | 68.7878i | 2.16259 | − | 3.01655i | ||||
\(521\) | −12.1002 | − | 16.6545i | −0.530118 | − | 0.729645i | 0.457030 | − | 0.889451i | \(-0.348913\pi\) |
−0.987148 | + | 0.159806i | \(0.948913\pi\) | |||||||
\(522\) | 55.7563 | − | 44.2534i | 2.44039 | − | 1.93692i | ||||
\(523\) | 2.69230 | + | 0.874782i | 0.117726 | + | 0.0382515i | 0.367288 | − | 0.930107i | \(-0.380286\pi\) |
−0.249561 | + | 0.968359i | \(0.580286\pi\) | |||||||
\(524\) | 20.8063 | − | 15.1166i | 0.908927 | − | 0.660374i | ||||
\(525\) | −3.38521 | + | 24.7751i | −0.147743 | + | 1.08127i | ||||
\(526\) | −12.0924 | + | 3.92905i | −0.527252 | + | 0.171315i | ||||
\(527\) | 7.87820i | 0.343180i | ||||||||
\(528\) | 43.3057 | + | 40.8929i | 1.88464 | + | 1.77963i | ||||
\(529\) | −9.16935 | −0.398667 | ||||||||
\(530\) | −6.46102 | − | 19.8850i | −0.280649 | − | 0.863748i | ||||
\(531\) | 19.4837 | − | 7.26096i | 0.845521 | − | 0.315099i | ||||
\(532\) | −22.7407 | + | 16.5221i | −0.985934 | + | 0.716323i | ||||
\(533\) | −10.4049 | − | 3.30805i | −0.450686 | − | 0.143287i | ||||
\(534\) | 13.6769 | + | 75.8654i | 0.591857 | + | 3.28302i | ||||
\(535\) | 26.9137 | − | 19.5539i | 1.16358 | − | 0.845391i | ||||
\(536\) | 31.8354 | + | 23.1297i | 1.37508 | + | 0.999053i | ||||
\(537\) | −4.48819 | − | 4.30110i | −0.193680 | − | 0.185606i | ||||
\(538\) | 44.9950 | 1.93987 | ||||||||
\(539\) | 7.86907 | − | 11.0003i | 0.338945 | − | 0.473817i | ||||
\(540\) | −77.7848 | − | 7.27304i | −3.34733 | − | 0.312982i | ||||
\(541\) | −6.92070 | − | 21.2997i | −0.297544 | − | 0.915746i | −0.982355 | − | 0.187026i | \(-0.940115\pi\) |
0.684811 | − | 0.728721i | \(-0.259885\pi\) | |||||||
\(542\) | 30.0192 | − | 41.3179i | 1.28943 | − | 1.77475i | ||||
\(543\) | −5.60486 | − | 2.70715i | −0.240528 | − | 0.116175i | ||||
\(544\) | −11.4905 | − | 3.73350i | −0.492653 | − | 0.160073i | ||||
\(545\) | −7.65573 | + | 23.5619i | −0.327936 | + | 1.00928i | ||||
\(546\) | 23.4692 | − | 49.3866i | 1.00439 | − | 2.11355i | ||||
\(547\) | 9.14293 | − | 12.5842i | 0.390923 | − | 0.538060i | −0.567514 | − | 0.823364i | \(-0.692095\pi\) |
0.958437 | + | 0.285304i | \(0.0920946\pi\) | |||||||
\(548\) | −12.5813 | − | 38.7212i | −0.537446 | − | 1.65409i | ||||
\(549\) | 2.16062 | + | 1.43340i | 0.0922131 | + | 0.0611762i | ||||
\(550\) | 30.7796 | + | 22.0181i | 1.31244 | + | 0.938856i | ||||
\(551\) | 15.4820 | 0.659555 | ||||||||
\(552\) | −52.2162 | + | 54.4875i | −2.22247 | + | 2.31914i | ||||
\(553\) | −2.70539 | + | 3.72365i | −0.115045 | + | 0.158346i | ||||
\(554\) | −62.6854 | + | 45.5436i | −2.66325 | + | 1.93496i | ||||
\(555\) | 1.56278 | + | 8.66869i | 0.0663362 | + | 0.367966i | ||||
\(556\) | −72.5543 | − | 23.5743i | −3.07699 | − | 0.999774i | ||||
\(557\) | 20.2748 | + | 27.9059i | 0.859072 | + | 1.18241i | 0.981790 | + | 0.189970i | \(0.0608391\pi\) |
−0.122717 | + | 0.992442i | \(0.539161\pi\) | |||||||
\(558\) | 57.4369 | − | 21.4049i | 2.43150 | − | 0.906143i | ||||
\(559\) | 0.326596 | − | 0.108409i | 0.0138135 | − | 0.00458522i | ||||
\(560\) | 105.452 | 4.45618 | ||||||||
\(561\) | −4.23655 | − | 4.00051i | −0.178867 | − | 0.168902i | ||||
\(562\) | −57.9278 | −2.44354 | ||||||||
\(563\) | 12.6122 | + | 38.8163i | 0.531541 | + | 1.63591i | 0.751007 | + | 0.660294i | \(0.229568\pi\) |
−0.219467 | + | 0.975620i | \(0.570432\pi\) | |||||||
\(564\) | −12.9774 | + | 94.9765i | −0.546446 | + | 3.99923i | ||||
\(565\) | −0.0256439 | − | 0.0352958i | −0.00107885 | − | 0.00148491i | ||||
\(566\) | 4.60065 | − | 14.1593i | 0.193380 | − | 0.595162i | ||||
\(567\) | −29.8468 | + | 2.54705i | −1.25345 | + | 0.106966i | ||||
\(568\) | 38.1508 | + | 52.5101i | 1.60077 | + | 2.20327i | ||||
\(569\) | −28.8961 | − | 20.9943i | −1.21139 | − | 0.880125i | −0.216032 | − | 0.976386i | \(-0.569312\pi\) |
−0.995356 | + | 0.0962610i | \(0.969312\pi\) | |||||||
\(570\) | −17.2544 | − | 16.5351i | −0.722707 | − | 0.692581i | ||||
\(571\) | − | 30.4593i | − | 1.27468i | −0.770582 | − | 0.637341i | \(-0.780034\pi\) | ||
0.770582 | − | 0.637341i | \(-0.219966\pi\) | |||||||
\(572\) | −35.2327 | − | 47.1225i | −1.47315 | − | 1.97029i | ||||
\(573\) | −21.9823 | + | 11.7964i | −0.918326 | + | 0.492803i | ||||
\(574\) | −8.19311 | − | 25.2158i | −0.341974 | − | 1.05249i | ||||
\(575\) | −14.4604 | + | 19.9031i | −0.603042 | + | 0.830016i | ||||
\(576\) | 1.35283 | + | 31.7630i | 0.0563680 | + | 1.32346i | ||||
\(577\) | 12.2582 | + | 3.98293i | 0.510316 | + | 0.165812i | 0.552846 | − | 0.833284i | \(-0.313542\pi\) |
−0.0425301 | + | 0.999095i | \(0.513542\pi\) | |||||||
\(578\) | −39.9579 | − | 12.9831i | −1.66203 | − | 0.540027i | ||||
\(579\) | 9.86350 | + | 4.76408i | 0.409913 | + | 0.197988i | ||||
\(580\) | −109.713 | − | 79.7114i | −4.55560 | − | 3.30984i | ||||
\(581\) | 8.49059 | − | 2.75876i | 0.352249 | − | 0.114453i | ||||
\(582\) | −15.2951 | − | 28.5021i | −0.634004 | − | 1.18145i | ||||
\(583\) | −8.62634 | + | 0.0635356i | −0.357267 | + | 0.00263137i | ||||
\(584\) | 100.567i | 4.16150i | ||||||||
\(585\) | 31.8968 | + | 8.66514i | 1.31877 | + | 0.358259i | ||||
\(586\) | 19.8318 | + | 14.4086i | 0.819244 | + | 0.595215i | ||||
\(587\) | −13.7594 | + | 9.99679i | −0.567911 | + | 0.412612i | −0.834346 | − | 0.551241i | \(-0.814154\pi\) |
0.266435 | + | 0.963853i | \(0.414154\pi\) | |||||||
\(588\) | 34.2017 | − | 6.16583i | 1.41046 | − | 0.254274i | ||||
\(589\) | 12.6789 | + | 4.11964i | 0.522426 | + | 0.169747i | ||||
\(590\) | −32.7480 | − | 45.0738i | −1.34821 | − | 1.85566i | ||||
\(591\) | 19.4814 | + | 2.66189i | 0.801357 | + | 0.109496i | ||||
\(592\) | 16.4112 | − | 5.33231i | 0.674495 | − | 0.219157i | ||||
\(593\) | 42.1470i | 1.73077i | 0.501108 | + | 0.865385i | \(0.332926\pi\) | ||||
−0.501108 | + | 0.865385i | \(0.667074\pi\) | |||||||
\(594\) | −17.6556 | + | 41.7564i | −0.724416 | + | 1.71329i | ||||
\(595\) | −10.3163 | −0.422928 | ||||||||
\(596\) | −31.2527 | + | 10.1546i | −1.28016 | + | 0.415949i | ||||
\(597\) | 2.88326 | − | 21.1015i | 0.118004 | − | 0.863625i | ||||
\(598\) | 43.3211 | − | 31.8958i | 1.77153 | − | 1.30432i | ||||
\(599\) | −20.0513 | − | 6.51507i | −0.819275 | − | 0.266199i | −0.130754 | − | 0.991415i | \(-0.541740\pi\) |
−0.688521 | + | 0.725216i | \(0.741740\pi\) | |||||||
\(600\) | 10.2396 | + | 56.7987i | 0.418029 | + | 2.31880i | ||||
\(601\) | 16.6032 | + | 22.8523i | 0.677257 | + | 0.932164i | 0.999897 | − | 0.0143573i | \(-0.00457024\pi\) |
−0.322640 | + | 0.946522i | \(0.604570\pi\) | |||||||
\(602\) | 0.676060 | + | 0.491186i | 0.0275541 | + | 0.0200193i | ||||
\(603\) | −4.12249 | + | 14.8038i | −0.167881 | + | 0.602858i | ||||
\(604\) | 7.14824 | 0.290858 | ||||||||
\(605\) | 26.8996 | − | 20.1557i | 1.09362 | − | 0.819445i | ||||
\(606\) | 14.5609 | − | 7.81382i | 0.591494 | − | 0.317415i | ||||
\(607\) | 25.8375 | − | 8.39512i | 1.04871 | − | 0.340747i | 0.266550 | − | 0.963821i | \(-0.414116\pi\) |
0.782163 | + | 0.623074i | \(0.214116\pi\) | |||||||
\(608\) | −12.0172 | + | 16.5402i | −0.487360 | + | 0.670794i | ||||
\(609\) | −46.8228 | − | 22.6154i | −1.89735 | − | 0.916424i | ||||
\(610\) | 2.14693 | − | 6.60756i | 0.0869265 | − | 0.267532i | ||||
\(611\) | 12.2880 | − | 38.6498i | 0.497119 | − | 1.56360i | ||||
\(612\) | −0.637113 | − | 14.9587i | −0.0257538 | − | 0.604670i | ||||
\(613\) | 23.0245 | + | 16.7283i | 0.929950 | + | 0.675648i | 0.945980 | − | 0.324224i | \(-0.105103\pi\) |
−0.0160309 | + | 0.999871i | \(0.505103\pi\) | |||||||
\(614\) | 24.8559 | − | 8.07616i | 1.00310 | − | 0.325927i | ||||
\(615\) | 14.1221 | − | 7.57835i | 0.569457 | − | 0.305589i | ||||
\(616\) | 25.6106 | − | 80.8427i | 1.03188 | − | 3.25724i | ||||
\(617\) | −33.3195 | −1.34139 | −0.670697 | − | 0.741732i | \(-0.734005\pi\) | ||||
−0.670697 | + | 0.741732i | \(0.734005\pi\) | |||||||
\(618\) | −27.5037 | − | 26.3572i | −1.10636 | − | 1.06024i | ||||
\(619\) | 14.5070 | − | 19.9671i | 0.583084 | − | 0.802547i | −0.410945 | − | 0.911660i | \(-0.634801\pi\) |
0.994029 | + | 0.109113i | \(0.0348012\pi\) | |||||||
\(620\) | −68.6388 | − | 94.4733i | −2.75660 | − | 3.79414i | ||||
\(621\) | −27.0595 | − | 11.6771i | −1.08586 | − | 0.468584i | ||||
\(622\) | 9.37789 | − | 28.8622i | 0.376019 | − | 1.15727i | ||||
\(623\) | 45.5570 | − | 33.0991i | 1.82520 | − | 1.32609i | ||||
\(624\) | 8.35941 | − | 64.2086i | 0.334644 | − | 2.57040i | ||||
\(625\) | −8.61339 | − | 26.5093i | −0.344536 | − | 1.06037i | ||||
\(626\) | − | 15.6022i | − | 0.623589i | ||||||
\(627\) | −8.65366 | + | 4.72625i | −0.345594 | + | 0.188748i | ||||
\(628\) | 56.3545 | 2.24879 | ||||||||
\(629\) | −1.60549 | + | 0.521655i | −0.0640151 | + | 0.0207998i | ||||
\(630\) | 28.0293 | + | 75.2123i | 1.11671 | + | 2.99653i | ||||
\(631\) | 18.3725 | + | 25.2875i | 0.731396 | + | 1.00668i | 0.999068 | + | 0.0431698i | \(0.0137456\pi\) |
−0.267672 | + | 0.963510i | \(0.586254\pi\) | |||||||
\(632\) | −3.28280 | + | 10.1034i | −0.130583 | + | 0.401893i | ||||
\(633\) | −7.57520 | − | 42.0195i | −0.301087 | − | 1.67012i | ||||
\(634\) | −42.7944 | − | 58.9014i | −1.69958 | − | 2.33927i | ||||
\(635\) | −0.732232 | + | 1.00783i | −0.0290577 | + | 0.0399945i | ||||
\(636\) | −16.0038 | − | 15.3367i | −0.634593 | − | 0.608140i | ||||
\(637\) | −14.7031 | + | 0.0931233i | −0.582557 | + | 0.00368968i | ||||
\(638\) | −63.3245 | + | 46.7244i | −2.50704 | + | 1.84984i | ||||
\(639\) | −14.0125 | + | 21.1215i | −0.554324 | + | 0.835553i | ||||
\(640\) | 11.7851 | − | 3.82920i | 0.465846 | − | 0.151362i | ||||
\(641\) | −15.4729 | + | 21.2966i | −0.611143 | + | 0.841167i | −0.996671 | − | 0.0815296i | \(-0.974019\pi\) |
0.385528 | + | 0.922696i | \(0.374019\pi\) | |||||||
\(642\) | 21.5743 | − | 44.6672i | 0.851470 | − | 1.76287i | ||||
\(643\) | 30.1923 | + | 9.81008i | 1.19067 | + | 0.386872i | 0.836320 | − | 0.548241i | \(-0.184703\pi\) |
0.354349 | + | 0.935113i | \(0.384703\pi\) | |||||||
\(644\) | 88.3375 | + | 28.7026i | 3.48098 | + | 1.13104i | ||||
\(645\) | −0.219699 | + | 0.454863i | −0.00865064 | + | 0.0179102i | ||||
\(646\) | 2.69207 | − | 3.70532i | 0.105918 | − | 0.145784i | ||||
\(647\) | −31.3098 | + | 10.1732i | −1.23092 | + | 0.399949i | −0.851046 | − | 0.525091i | \(-0.824031\pi\) |
−0.379870 | + | 0.925040i | \(0.624031\pi\) | |||||||
\(648\) | −63.7004 | + | 26.8789i | −2.50239 | + | 1.05590i | ||||
\(649\) | −21.8092 | + | 7.26426i | −0.856086 | + | 0.285147i | ||||
\(650\) | −0.260565 | − | 41.1401i | −0.0102202 | − | 1.61365i | ||||
\(651\) | −32.3276 | − | 30.9800i | −1.26702 | − | 1.21420i | ||||
\(652\) | −41.2176 | + | 56.7311i | −1.61421 | + | 2.22176i | ||||
\(653\) | 22.1666 | + | 30.5097i | 0.867446 | + | 1.19394i | 0.979742 | + | 0.200262i | \(0.0641795\pi\) |
−0.112296 | + | 0.993675i | \(0.535821\pi\) | |||||||
\(654\) | 6.55403 | + | 36.3551i | 0.256283 | + | 1.42160i | ||||
\(655\) | 4.93569 | − | 15.1905i | 0.192853 | − | 0.593541i | ||||
\(656\) | −18.4546 | − | 25.4006i | −0.720531 | − | 0.991726i | ||||
\(657\) | −36.8007 | + | 13.7145i | −1.43573 | + | 0.535053i | ||||
\(658\) | 93.6661 | − | 30.4340i | 3.65148 | − | 1.18644i | ||||
\(659\) | 32.6431 | 1.27159 | 0.635796 | − | 0.771857i | \(-0.280672\pi\) | ||||
0.635796 | + | 0.771857i | \(0.280672\pi\) | |||||||
\(660\) | 85.6581 | + | 11.0621i | 3.33424 | + | 0.430591i | ||||
\(661\) | − | 16.4289i | − | 0.639009i | −0.947585 | − | 0.319504i | \(-0.896484\pi\) | ||
0.947585 | − | 0.319504i | \(-0.103516\pi\) | |||||||
\(662\) | −7.85511 | − | 24.1755i | −0.305297 | − | 0.939609i | ||||
\(663\) | −0.817794 | + | 6.28147i | −0.0317605 | + | 0.243952i | ||||
\(664\) | 16.6702 | − | 12.1116i | 0.646928 | − | 0.470021i | ||||
\(665\) | −5.39457 | + | 16.6028i | −0.209192 | + | 0.643828i | ||||
\(666\) | 8.16527 | + | 10.2877i | 0.316398 | + | 0.398639i | ||||
\(667\) | −30.0704 | − | 41.3883i | −1.16433 | − | 1.60256i | ||||
\(668\) | 17.1458 | − | 23.5992i | 0.663392 | − | 0.913080i | ||||
\(669\) | −16.7064 | − | 16.0100i | −0.645907 | − | 0.618982i | ||||
\(670\) | 41.1763 | 1.59078 | ||||||||
\(671\) | −2.33141 | − | 1.66777i | −0.0900030 | − | 0.0643836i | ||||
\(672\) | 60.5052 | − | 32.4690i | 2.33404 | − | 1.25252i | ||||
\(673\) | 4.07972 | − | 1.32558i | 0.157262 | − | 0.0510974i | −0.229328 | − | 0.973349i | \(-0.573653\pi\) |
0.386590 | + | 0.922252i | \(0.373653\pi\) | |||||||
\(674\) | 38.7225 | + | 28.1335i | 1.49153 | + | 1.08366i | ||||
\(675\) | −19.3881 | + | 11.4927i | −0.746248 | + | 0.442354i | ||||
\(676\) | −18.9936 | + | 61.0782i | −0.730523 | + | 2.34916i | ||||
\(677\) | 5.12978 | − | 15.7878i | 0.197153 | − | 0.606776i | −0.802791 | − | 0.596260i | \(-0.796653\pi\) |
0.999945 | − | 0.0105157i | \(-0.00334731\pi\) | |||||||
\(678\) | −0.0585786 | − | 0.0282935i | −0.00224970 | − | 0.00108661i | ||||
\(679\) | −13.8886 | + | 19.1160i | −0.532995 | + | 0.733605i | ||||
\(680\) | −22.6455 | + | 7.35797i | −0.868416 | + | 0.282165i | ||||
\(681\) | 2.05621 | − | 1.10343i | 0.0787941 | − | 0.0422834i | ||||
\(682\) | −64.2924 | + | 21.4146i | −2.46188 | + | 0.820009i | ||||
\(683\) | −23.8868 | −0.914004 | −0.457002 | − | 0.889466i | \(-0.651077\pi\) | ||||
−0.457002 | + | 0.889466i | \(0.651077\pi\) | |||||||
\(684\) | −24.4072 | − | 6.79679i | −0.933234 | − | 0.259882i | ||||
\(685\) | −20.4564 | − | 14.8624i | −0.781599 | − | 0.567865i | ||||
\(686\) | 15.0381 | + | 20.6982i | 0.574158 | + | 0.790260i | ||||
\(687\) | 2.62720 | + | 14.5730i | 0.100234 | + | 0.555995i | ||||
\(688\) | 0.941138 | + | 0.305794i | 0.0358806 | + | 0.0116583i | ||||
\(689\) | 5.56024 | + | 7.55196i | 0.211828 | + | 0.287707i | ||||
\(690\) | −10.6909 | + | 78.2423i | −0.406994 | + | 2.97863i | ||||
\(691\) | −34.0637 | + | 11.0680i | −1.29584 | + | 0.421045i | −0.874133 | − | 0.485686i | \(-0.838570\pi\) |
−0.421710 | + | 0.906731i | \(0.638570\pi\) | |||||||
\(692\) | −102.265 | −3.88753 | ||||||||
\(693\) | 33.0755 | − | 1.65286i | 1.25643 | − | 0.0627871i | ||||
\(694\) | 3.03215i | 0.115099i | ||||||||
\(695\) | −45.0600 | + | 14.6409i | −1.70922 | + | 0.555361i | ||||
\(696\) | −118.912 | − | 16.2478i | −4.50733 | − | 0.615871i | ||||
\(697\) | 1.80540 | + | 2.48492i | 0.0683843 | + | 0.0941229i | ||||
\(698\) | 7.26002 | + | 2.35892i | 0.274796 | + | 0.0892865i | ||||
\(699\) | 0.142502 | − | 0.0256901i | 0.00538993 | − | 0.000971687i | ||||
\(700\) | 57.4667 | − | 41.7520i | 2.17204 | − | 1.57808i | ||||
\(701\) | −9.13146 | − | 6.63440i | −0.344891 | − | 0.250578i | 0.401832 | − | 0.915714i | \(-0.368374\pi\) |
−0.746722 | + | 0.665136i | \(0.768374\pi\) | |||||||
\(702\) | 48.0177 | − | 11.1044i | 1.81231 | − | 0.419109i | ||||
\(703\) | 2.85661i | 0.107739i | ||||||||
\(704\) | −0.258862 | − | 35.1462i | −0.00975623 | − | 1.32462i | ||||
\(705\) | 28.1504 | + | 52.4575i | 1.06020 | + | 1.97566i | ||||
\(706\) | −33.2348 | + | 10.7987i | −1.25081 | + | 0.406413i | ||||
\(707\) | −9.76577 | − | 7.09525i | −0.367280 | − | 0.266844i | ||||
\(708\) | −53.1869 | − | 25.6893i | −1.99889 | − | 0.965464i | ||||
\(709\) | −35.3717 | − | 11.4929i | −1.32841 | − | 0.431627i | −0.443035 | − | 0.896504i | \(-0.646098\pi\) |
−0.885375 | + | 0.464877i | \(0.846098\pi\) | |||||||
\(710\) | 64.5932 | + | 20.9876i | 2.42414 | + | 0.787651i | ||||
\(711\) | −4.14485 | + | 0.176535i | −0.155444 | + | 0.00662059i | ||||
\(712\) | 76.3954 | − | 105.149i | 2.86304 | − | 3.94064i | ||||
\(713\) | −13.6129 | − | 41.8963i | −0.509808 | − | 1.56903i | ||||
\(714\) | −13.5543 | + | 7.27367i | −0.507257 | + | 0.272210i | ||||
\(715\) | −34.9042 | − | 10.8148i | −1.30534 | − | 0.404449i | ||||
\(716\) | 17.6589i | 0.659944i | ||||||||
\(717\) | −12.7972 | − | 12.2637i | −0.477919 | − | 0.457997i | ||||
\(718\) | 35.0529 | + | 25.4674i | 1.30816 | + | 0.950437i | ||||
\(719\) | 10.0755 | + | 13.8677i | 0.375752 | + | 0.517179i | 0.954453 | − | 0.298361i | \(-0.0964400\pi\) |
−0.578701 | + | 0.815540i | \(0.696440\pi\) | |||||||
\(720\) | 59.0900 | + | 74.4493i | 2.20215 | + | 2.77456i | ||||
\(721\) | −8.59901 | + | 26.4650i | −0.320244 | + | 0.985609i | ||||
\(722\) | 24.8232 | + | 34.1663i | 0.923825 | + | 1.27154i | ||||
\(723\) | 1.83059 | − | 13.3974i | 0.0680806 | − | 0.498256i | ||||
\(724\) | 5.46395 | + | 16.8163i | 0.203066 | + | 0.624973i | ||||
\(725\) | −39.1237 | −1.45302 | ||||||||
\(726\) | 21.1315 | − | 45.4479i | 0.784264 | − | 1.68673i | ||||
\(727\) | −1.84806 | −0.0685409 | −0.0342704 | − | 0.999413i | \(-0.510911\pi\) | ||||
−0.0342704 | + | 0.999413i | \(0.510911\pi\) | |||||||
\(728\) | −87.4956 | + | 29.0430i | −3.24280 | + | 1.07640i | ||||
\(729\) | −18.5228 | − | 19.6445i | −0.686028 | − | 0.727575i | ||||
\(730\) | 61.8543 | + | 85.1352i | 2.28933 | + | 3.15099i | ||||
\(731\) | −0.0920707 | − | 0.0299156i | −0.00340536 | − | 0.00110647i | ||||
\(732\) | −1.30679 | − | 7.24872i | −0.0483002 | − | 0.267920i | ||||
\(733\) | 17.9800 | − | 13.0632i | 0.664107 | − | 0.482502i | −0.203940 | − | 0.978983i | \(-0.565375\pi\) |
0.868047 | + | 0.496481i | \(0.165375\pi\) | |||||||
\(734\) | −20.3474 | + | 28.0058i | −0.751036 | + | 1.03371i | ||||
\(735\) | 14.9336 | − | 15.5832i | 0.550833 | − | 0.574793i | ||||
\(736\) | 67.5579 | 2.49022 | ||||||||
\(737\) | 5.13074 | − | 16.1957i | 0.188993 | − | 0.596576i | ||||
\(738\) | 13.2113 | − | 19.9139i | 0.486316 | − | 0.733042i | ||||
\(739\) | −3.53683 | − | 10.8853i | −0.130105 | − | 0.400421i | 0.864692 | − | 0.502303i | \(-0.167514\pi\) |
−0.994797 | + | 0.101882i | \(0.967514\pi\) | |||||||
\(740\) | 14.7077 | − | 20.2434i | 0.540665 | − | 0.744162i | ||||
\(741\) | 9.68157 | + | 4.60081i | 0.355661 | + | 0.169015i | ||||
\(742\) | −7.03746 | + | 21.6591i | −0.258353 | + | 0.795129i | ||||
\(743\) | 3.91594 | + | 1.27237i | 0.143662 | + | 0.0466785i | 0.379965 | − | 0.925001i | \(-0.375936\pi\) |
−0.236303 | + | 0.971679i | \(0.575936\pi\) | |||||||
\(744\) | −93.0588 | − | 44.9475i | −3.41170 | − | 1.64785i | ||||
\(745\) | −11.9958 | + | 16.5107i | −0.439490 | + | 0.604907i | ||||
\(746\) | −14.7852 | − | 45.5041i | −0.541323 | − | 1.66602i | ||||
\(747\) | 6.70536 | + | 4.44848i | 0.245336 | + | 0.162761i | ||||
\(748\) | 0.121910 | + | 16.5520i | 0.00445749 | + | 0.605201i | ||||
\(749\) | −36.2352 | −1.32400 | ||||||||
\(750\) | −6.65955 | − | 6.38195i | −0.243172 | − | 0.233036i | ||||
\(751\) | 15.0430 | + | 10.9294i | 0.548926 | + | 0.398818i | 0.827389 | − | 0.561629i | \(-0.189825\pi\) |
−0.278463 | + | 0.960447i | \(0.589825\pi\) | |||||||
\(752\) | 94.3525 | − | 68.5511i | 3.44068 | − | 2.49980i | ||||
\(753\) | 8.45803 | + | 46.9165i | 0.308228 | + | 1.70973i | ||||
\(754\) | 81.5308 | + | 25.9212i | 2.96918 | + | 0.943996i | ||||
\(755\) | 3.59157 | − | 2.60943i | 0.130711 | − | 0.0949669i | ||||
\(756\) | 63.8872 | + | 56.2088i | 2.32356 | + | 2.04429i | ||||
\(757\) | −2.81717 | − | 8.67036i | −0.102392 | − | 0.315130i | 0.886718 | − | 0.462311i | \(-0.152980\pi\) |
−0.989109 | + | 0.147182i | \(0.952980\pi\) | |||||||
\(758\) | −14.7577 | −0.536024 | ||||||||
\(759\) | 29.4426 | + | 13.9543i | 1.06870 | + | 0.506509i | ||||
\(760\) | 40.2926i | 1.46157i | ||||||||
\(761\) | −2.22344 | + | 0.722438i | −0.0805995 | + | 0.0261884i | −0.349039 | − | 0.937108i | \(-0.613492\pi\) |
0.268440 | + | 0.963296i | \(0.413492\pi\) | |||||||
\(762\) | −0.251472 | + | 1.84043i | −0.00910987 | + | 0.0666717i | ||||
\(763\) | 21.8312 | − | 15.8613i | 0.790341 | − | 0.574216i | ||||
\(764\) | 67.4001 | + | 21.8996i | 2.43845 | + | 0.792301i | ||||
\(765\) | −5.78072 | − | 7.28331i | −0.209002 | − | 0.263329i | ||||
\(766\) | −10.2243 | − | 14.0725i | −0.369417 | − | 0.508459i | ||||
\(767\) | 20.3097 | + | 14.5602i | 0.733342 | + | 0.525740i | ||||
\(768\) | −12.6154 | + | 13.1641i | −0.455218 | + | 0.475019i | ||||
\(769\) | −6.57372 | −0.237054 | −0.118527 | − | 0.992951i | \(-0.537817\pi\) | ||||
−0.118527 | + | 0.992951i | \(0.537817\pi\) | |||||||
\(770\) | −28.0420 | − | 84.1894i | −1.01056 | − | 3.03397i | ||||
\(771\) | 41.4251 | − | 22.2300i | 1.49189 | − | 0.800594i | ||||
\(772\) | −9.61552 | − | 29.5935i | −0.346070 | − | 1.06509i | ||||
\(773\) | −33.5372 | − | 24.3662i | −1.20625 | − | 0.876392i | −0.211366 | − | 0.977407i | \(-0.567791\pi\) |
−0.994885 | + | 0.101015i | \(0.967791\pi\) | |||||||
\(774\) | 0.0320514 | + | 0.752532i | 0.00115207 | + | 0.0270492i | ||||
\(775\) | −32.0402 | − | 10.4105i | −1.15092 | − | 0.373956i | ||||
\(776\) | −16.8528 | + | 51.8677i | −0.604981 | + | 1.86194i | ||||
\(777\) | 4.17281 | − | 8.63934i | 0.149699 | − | 0.309935i | ||||
\(778\) | −39.6205 | − | 28.7860i | −1.42046 | − | 1.03203i | ||||
\(779\) | 4.94322 | − | 1.60615i | 0.177109 | − | 0.0575463i | ||||
\(780\) | −44.9206 | − | 82.4507i | −1.60841 | − | 2.95221i | ||||
\(781\) | 16.3035 | − | 22.7910i | 0.583387 | − | 0.815527i | ||||
\(782\) | −15.1343 | −0.541200 | ||||||||
\(783\) | −10.2705 | − | 45.7293i | −0.367039 | − | 1.63423i | ||||
\(784\) | −34.2069 | − | 24.8528i | −1.22167 | − | 0.887598i | ||||
\(785\) | 28.3149 | − | 20.5719i | 1.01060 | − | 0.734244i | ||||
\(786\) | −4.22542 | − | 23.4383i | −0.150716 | − | 0.836016i | ||||
\(787\) | 6.57291 | − | 20.2293i | 0.234299 | − | 0.721098i | −0.762915 | − | 0.646499i | \(-0.776232\pi\) |
0.997214 | − | 0.0745986i | \(-0.0237675\pi\) | |||||||
\(788\) | −32.8308 | − | 45.1878i | −1.16955 | − | 1.60975i | ||||
\(789\) | −1.13334 | + | 8.29446i | −0.0403478 | + | 0.295291i | ||||
\(790\) | 3.43511 | + | 10.5722i | 0.122216 | + | 0.376141i | ||||
\(791\) | 0.0475204i | 0.00168963i | ||||||||
\(792\) | 71.4256 | − | 27.2189i | 2.53800 | − | 0.967180i | ||||
\(793\) | 0.0197366 | + | 3.11617i | 0.000700866 | + | 0.110658i | ||||
\(794\) | 21.5668 | + | 66.3757i | 0.765377 | + | 2.35559i | ||||
\(795\) | −13.6396 | − | 1.86368i | −0.483747 | − | 0.0660981i | ||||
\(796\) | −48.9456 | + | 35.5611i | −1.73483 | + | 1.26043i | ||||
\(797\) | 51.6069 | + | 16.7681i | 1.82801 | + | 0.593957i | 0.999418 | + | 0.0341065i | \(0.0108586\pi\) |
0.828594 | + | 0.559851i | \(0.189141\pi\) | |||||||
\(798\) | 4.61826 | + | 25.6174i | 0.163485 | + | 0.906846i | ||||
\(799\) | −9.23042 | + | 6.70629i | −0.326549 | + | 0.237252i | ||||
\(800\) | 30.3679 | − | 41.7979i | 1.07367 | − | 1.47778i | ||||
\(801\) | 48.8957 | + | 13.6162i | 1.72764 | + | 0.481105i | ||||
\(802\) | 28.1604i | 0.994377i | ||||||||
\(803\) | 41.1931 | − | 13.7207i | 1.45367 | − | 0.484193i | ||||
\(804\) | 38.4650 | − | 20.6415i | 1.35655 | − | 0.727970i | ||||
\(805\) | 54.8622 | − | 17.8258i | 1.93364 | − | 0.628278i | ||||
\(806\) | 59.8720 | + | 42.9228i | 2.10890 | + | 1.51189i | ||||
\(807\) | 12.8848 | − | 26.6766i | 0.453568 | − | 0.939062i | ||||
\(808\) | −26.4976 | − | 8.60959i | −0.932182 | − | 0.302884i | ||||
\(809\) | −2.30814 | + | 7.10373i | −0.0811499 | + | 0.249754i | −0.983397 | − | 0.181465i | \(-0.941916\pi\) |
0.902248 | + | 0.431218i | \(0.141916\pi\) | |||||||
\(810\) | −37.3937 | + | 61.9336i | −1.31388 | + | 2.17612i | ||||
\(811\) | 22.8075 | + | 16.5706i | 0.800880 | + | 0.581873i | 0.911172 | − | 0.412026i | \(-0.135179\pi\) |
−0.110292 | + | 0.993899i | \(0.535179\pi\) | |||||||
\(812\) | 45.6456 | + | 140.483i | 1.60185 | + | 4.92997i | ||||
\(813\) | −15.9002 | − | 29.6296i | −0.557645 | − | 1.03916i | ||||
\(814\) | −8.62119 | − | 11.6841i | −0.302172 | − | 0.409528i | ||||
\(815\) | 43.5504i | 1.52550i | ||||||||
\(816\) | −12.6035 | + | 13.1518i | −0.441212 | + | 0.460404i | ||||
\(817\) | −0.0962905 | + | 0.132532i | −0.00336878 | + | 0.00463672i | ||||
\(818\) | −36.5848 | − | 50.3547i | −1.27916 | − | 1.76061i | ||||
\(819\) | −22.5597 | − | 28.0568i | −0.788298 | − | 0.980385i | ||||
\(820\) | −43.2997 | − | 14.0689i | −1.51209 | − | 0.491308i | ||||
\(821\) | −0.424349 | − | 0.584067i | −0.0148099 | − | 0.0203841i | 0.801548 | − | 0.597931i | \(-0.204010\pi\) |
−0.816358 | + | 0.577547i | \(0.804010\pi\) | |||||||
\(822\) | −37.3560 | − | 5.10424i | −1.30294 | − | 0.178031i | ||||
\(823\) | 7.34189 | + | 22.5960i | 0.255922 | + | 0.787648i | 0.993647 | + | 0.112546i | \(0.0359004\pi\) |
−0.737724 | + | 0.675102i | \(0.764100\pi\) | |||||||
\(824\) | 64.2269i | 2.23745i | ||||||||
\(825\) | 21.8682 | − | 11.9434i | 0.761353 | − | 0.415817i | ||||
\(826\) | 60.6849i | 2.11150i | ||||||||
\(827\) | 9.07060 | − | 2.94722i | 0.315416 | − | 0.102485i | −0.147031 | − | 0.989132i | \(-0.546972\pi\) |
0.462447 | + | 0.886647i | \(0.346972\pi\) | |||||||
\(828\) | 29.2357 | + | 78.4495i | 1.01601 | + | 2.72631i | ||||
\(829\) | 26.5980 | − | 19.3246i | 0.923786 | − | 0.671170i | −0.0206774 | − | 0.999786i | \(-0.506582\pi\) |
0.944463 | + | 0.328616i | \(0.106582\pi\) | |||||||
\(830\) | 6.66285 | − | 20.5062i | 0.231271 | − | 0.711779i | ||||
\(831\) | 9.05121 | + | 50.2069i | 0.313983 | + | 1.74166i | ||||
\(832\) | −30.7689 | + | 22.6540i | −1.06672 | + | 0.785386i | ||||
\(833\) | 3.34643 | + | 2.43132i | 0.115947 | + | 0.0842403i | ||||
\(834\) | −48.8803 | + | 51.0065i | −1.69258 | + | 1.76621i | ||||
\(835\) | − | 18.1162i | − | 0.626938i | ||||||
\(836\) | 26.7021 | + | 8.45911i | 0.923510 | + | 0.292564i | ||||
\(837\) | 3.75717 | − | 40.1828i | 0.129867 | − | 1.38892i | ||||
\(838\) | 21.4749 | + | 66.0929i | 0.741838 | + | 2.28314i | ||||
\(839\) | 8.52942 | + | 6.19698i | 0.294468 | + | 0.213944i | 0.725203 | − | 0.688535i | \(-0.241746\pi\) |
−0.430735 | + | 0.902478i | \(0.641746\pi\) | |||||||
\(840\) | 58.8577 | − | 121.858i | 2.03078 | − | 4.20451i | ||||
\(841\) | 16.1793 | − | 49.7949i | 0.557908 | − | 1.71707i | ||||
\(842\) | 14.0910 | − | 43.3676i | 0.485607 | − | 1.49455i | ||||
\(843\) | −16.5883 | + | 34.3443i | −0.571332 | + | 1.18288i | ||||
\(844\) | −71.2920 | + | 98.1251i | −2.45397 | + | 3.37760i | ||||
\(845\) | 12.7531 | + | 37.6218i | 0.438721 | + | 1.29423i | ||||
\(846\) | 73.9718 | + | 49.0745i | 2.54320 | + | 1.68722i | ||||
\(847\) | −36.6080 | + | 0.539287i | −1.25787 | + | 0.0185301i | ||||
\(848\) | 26.9683i | 0.926094i | ||||||||
\(849\) | −7.07735 | − | 6.78233i | −0.242894 | − | 0.232769i | ||||
\(850\) | −6.80299 | + | 9.36351i | −0.233341 | + | 0.321166i | ||||
\(851\) | 7.63662 | − | 5.54833i | 0.261780 | − | 0.190194i | ||||
\(852\) | 70.8609 | − | 12.7747i | 2.42765 | − | 0.437653i | ||||
\(853\) | 9.16929 | − | 28.2202i | 0.313950 | − | 0.966240i | −0.662234 | − | 0.749297i | \(-0.730391\pi\) |
0.976184 | − | 0.216943i | \(-0.0696086\pi\) | |||||||
\(854\) | −6.12219 | + | 4.44803i | −0.209497 | + | 0.152209i | ||||
\(855\) | −14.7444 | + | 5.49476i | −0.504247 | + | 0.187917i | ||||
\(856\) | −79.5404 | + | 25.8442i | −2.71863 | + | 0.883338i | ||||
\(857\) | −23.8349 | −0.814185 | −0.407092 | − | 0.913387i | \(-0.633457\pi\) | ||||
−0.407092 | + | 0.913387i | \(0.633457\pi\) | |||||||
\(858\) | −53.4847 | + | 10.4005i | −1.82594 | + | 0.355069i | ||||
\(859\) | 21.7569 | 0.742337 | 0.371168 | − | 0.928566i | \(-0.378957\pi\) | ||||
0.371168 | + | 0.928566i | \(0.378957\pi\) | |||||||
\(860\) | 1.36473 | − | 0.443427i | 0.0465368 | − | 0.0151207i | ||||
\(861\) | −17.2962 | − | 2.36331i | −0.589451 | − | 0.0805413i | ||||
\(862\) | −55.1897 | + | 40.0976i | −1.87977 | + | 1.36573i | ||||
\(863\) | −5.78546 | + | 17.8058i | −0.196939 | + | 0.606117i | 0.803009 | + | 0.595967i | \(0.203231\pi\) |
−0.999948 | + | 0.0101502i | \(0.996769\pi\) | |||||||
\(864\) | 56.8270 | + | 24.5227i | 1.93329 | + | 0.834278i | ||||
\(865\) | −51.3822 | + | 37.3314i | −1.74705 | + | 1.26930i | ||||
\(866\) | 45.1145 | − | 62.0948i | 1.53305 | − | 2.11007i | ||||
\(867\) | −19.1399 | + | 19.9724i | −0.650024 | + | 0.678299i | ||||
\(868\) | 127.194i | 4.31724i | ||||||||
\(869\) | 4.58634 | − | 0.0337797i | 0.155581 | − | 0.00114590i | ||||
\(870\) | −110.658 | + | 59.3826i | −3.75166 | + | 2.01326i | ||||
\(871\) | −17.5285 | + | 5.81836i | −0.593931 | + | 0.197147i | ||||
\(872\) | 36.6091 | − | 50.3881i | 1.23974 | − | 1.70636i | ||||
\(873\) | −21.2783 | + | 0.906274i | −0.720161 | + | 0.0306727i | ||||
\(874\) | −7.91394 | + | 24.3566i | −0.267693 | + | 0.823874i | ||||
\(875\) | −2.08210 | + | 6.40805i | −0.0703879 | + | 0.216632i | ||||
\(876\) | 100.459 | + | 48.5219i | 3.39420 | + | 1.63940i | ||||
\(877\) | −16.1304 | − | 11.7194i | −0.544686 | − | 0.395737i | 0.281137 | − | 0.959668i | \(-0.409289\pi\) |
−0.825822 | + | 0.563930i | \(0.809289\pi\) | |||||||
\(878\) | 18.3445 | + | 56.4585i | 0.619096 | + | 1.90538i | ||||
\(879\) | 14.2217 | − | 7.63180i | 0.479685 | − | 0.257414i | ||||
\(880\) | −62.3893 | − | 84.5548i | −2.10314 | − | 2.85034i | ||||
\(881\) | − | 2.29304i | − | 0.0772545i | −0.999254 | − | 0.0386273i | \(-0.987702\pi\) | ||
0.999254 | − | 0.0386273i | \(-0.0122985\pi\) | |||||||
\(882\) | 8.63365 | − | 31.0034i | 0.290710 | − | 1.04394i | ||||
\(883\) | −14.5011 | − | 10.5357i | −0.488000 | − | 0.354553i | 0.316414 | − | 0.948621i | \(-0.397521\pi\) |
−0.804415 | + | 0.594068i | \(0.797521\pi\) | |||||||
\(884\) | 14.4905 | − | 10.6688i | 0.487369 | − | 0.358832i | ||||
\(885\) | −36.1011 | + | 6.50825i | −1.21353 | + | 0.218772i | ||||
\(886\) | 22.2882 | − | 68.5961i | 0.748788 | − | 2.30453i | ||||
\(887\) | −30.4347 | + | 22.1121i | −1.02190 | + | 0.742451i | −0.966671 | − | 0.256023i | \(-0.917588\pi\) |
−0.0552252 | + | 0.998474i | \(0.517588\pi\) | |||||||
\(888\) | 2.99791 | − | 21.9406i | 0.100603 | − | 0.736277i | ||||
\(889\) | 1.29048 | − | 0.419302i | 0.0432813 | − | 0.0140629i | ||||
\(890\) | − | 136.002i | − | 4.55878i | ||||||
\(891\) | 19.7007 | + | 22.4251i | 0.659997 | + | 0.751268i | ||||
\(892\) | 65.7318i | 2.20086i | ||||||||
\(893\) | 5.96617 | + | 18.3620i | 0.199650 | + | 0.614460i | ||||
\(894\) | −4.11973 | + | 30.1507i | −0.137784 | + | 1.00839i | ||||
\(895\) | 6.44630 | + | 8.87258i | 0.215476 | + | 0.296578i | ||||
\(896\) | −12.8365 | − | 4.17083i | −0.428837 | − | 0.139338i | ||||
\(897\) | −6.50488 | − | 34.8180i | −0.217191 | − | 1.16254i | ||||
\(898\) | −26.7003 | − | 36.7498i | −0.891001 | − | 1.22636i | ||||
\(899\) | 41.1780 | − | 56.6767i | 1.37336 | − | 1.89027i | ||||
\(900\) | 61.6782 | + | 17.1758i | 2.05594 | + | 0.572527i | ||||
\(901\) | − | 2.63828i | − | 0.0878939i | ||||||
\(902\) | −15.3714 | + | 21.4880i | −0.511813 | + | 0.715473i | ||||
\(903\) | 0.484812 | − | 0.260166i | 0.0161335 | − | 0.00865777i | ||||
\(904\) | 0.0338933 | + | 0.104313i | 0.00112727 | + | 0.00346939i | ||||
\(905\) | 8.88403 | + | 6.45463i | 0.295315 | + | 0.214559i | ||||
\(906\) | 2.87904 | − | 5.96074i | 0.0956499 | − | 0.198032i | ||||
\(907\) | −8.04548 | + | 24.7614i | −0.267146 | + | 0.822190i | 0.724045 | + | 0.689752i | \(0.242281\pi\) |
−0.991191 | + | 0.132438i | \(0.957719\pi\) | |||||||
\(908\) | −6.30454 | − | 2.04847i | −0.209224 | − | 0.0679809i | ||||
\(909\) | −0.462987 | − | 10.8704i | −0.0153563 | − | 0.360549i | ||||
\(910\) | −56.2064 | + | 78.4010i | −1.86323 | + | 2.59897i | ||||
\(911\) | −12.7995 | + | 4.15881i | −0.424066 | + | 0.137787i | −0.513273 | − | 0.858226i | \(-0.671567\pi\) |
0.0892062 | + | 0.996013i | \(0.471567\pi\) | |||||||
\(912\) | 14.5755 | + | 27.1610i | 0.482642 | + | 0.899391i | ||||
\(913\) | −7.23538 | − | 5.17582i | −0.239456 | − | 0.171295i | ||||
\(914\) | − | 98.3553i | − | 3.25330i | ||||||
\(915\) | −3.30270 | − | 3.16502i | −0.109184 | − | 0.104632i | ||||
\(916\) | 24.7252 | − | 34.0313i | 0.816944 | − | 1.12443i | ||||
\(917\) | −14.0746 | + | 10.2258i | −0.464786 | + | 0.337687i | ||||
\(918\) | −12.7303 | − | 5.49354i | −0.420163 | − | 0.181314i | ||||
\(919\) | 23.9458 | + | 7.78045i | 0.789898 | + | 0.256653i | 0.676060 | − | 0.736846i | \(-0.263686\pi\) |
0.113837 | + | 0.993499i | \(0.463686\pi\) | |||||||
\(920\) | 107.715 | − | 78.2595i | 3.55126 | − | 2.58014i | ||||
\(921\) | 2.32957 | − | 17.0493i | 0.0767620 | − | 0.561792i | ||||
\(922\) | −0.855427 | − | 2.63273i | −0.0281720 | − | 0.0867044i | ||||
\(923\) | −30.4626 | + | 0.192938i | −1.00269 | + | 0.00635062i | ||||
\(924\) | −68.3993 | − | 64.5884i | −2.25017 | − | 2.12480i | ||||
\(925\) | − | 7.21878i | − | 0.237352i | ||||||
\(926\) | −24.0196 | − | 73.9248i | −0.789334 | − | 2.42932i | ||||
\(927\) | −23.5027 | + | 8.75871i | −0.771930 | + | 0.287674i | ||||
\(928\) | 63.1499 | + | 86.9183i | 2.07300 | + | 2.85323i | ||||
\(929\) | −9.36626 | + | 28.8264i | −0.307297 | + | 0.945763i | 0.671513 | + | 0.740993i | \(0.265645\pi\) |
−0.978810 | + | 0.204770i | \(0.934355\pi\) | |||||||
\(930\) | −106.424 | + | 19.1860i | −3.48979 | + | 0.629133i | ||||
\(931\) | 5.66280 | − | 4.11426i | 0.185591 | − | 0.134840i | ||||
\(932\) | −0.332775 | − | 0.241775i | −0.0109004 | − | 0.00791962i | ||||
\(933\) | −14.4263 | − | 13.8250i | −0.472297 | − | 0.452610i | ||||
\(934\) | −30.5643 | −1.00009 | ||||||||
\(935\) | 6.10349 | + | 8.27193i | 0.199606 | + | 0.270521i | ||||
\(936\) | −69.5322 | − | 45.4976i | −2.27273 | − | 1.48714i | ||||
\(937\) | 37.6132 | − | 12.2213i | 1.22877 | − | 0.399252i | 0.378502 | − | 0.925600i | \(-0.376439\pi\) |
0.850269 | + | 0.526349i | \(0.176439\pi\) | |||||||
\(938\) | −36.2844 | − | 26.3621i | −1.18473 | − | 0.860754i | ||||
\(939\) | −9.25023 | − | 4.46787i | −0.301870 | − | 0.145803i | ||||
\(940\) | 52.2601 | − | 160.840i | 1.70454 | − | 5.24602i | ||||
\(941\) | −26.8240 | − | 8.71564i | −0.874437 | − | 0.284122i | −0.162792 | − | 0.986660i | \(-0.552050\pi\) |
−0.711646 | + | 0.702539i | \(0.752050\pi\) | |||||||
\(942\) | 22.6975 | − | 46.9927i | 0.739524 | − | 1.53110i | ||||
\(943\) | −13.8949 | − | 10.0952i | −0.452479 | − | 0.328745i | ||||
\(944\) | 22.2066 | + | 68.3450i | 0.722764 | + | 2.22444i | ||||
\(945\) | 52.6184 | + | 4.91993i | 1.71168 | + | 0.160045i | ||||
\(946\) | −0.00613299 | − | 0.832687i | −0.000199401 | − | 0.0270730i | ||||
\(947\) | −1.57398 | −0.0511475 | −0.0255738 | − | 0.999673i | \(-0.508141\pi\) | ||||
−0.0255738 | + | 0.999673i | \(0.508141\pi\) | |||||||
\(948\) | 8.50870 | + | 8.15402i | 0.276350 | + | 0.264830i | ||||
\(949\) | −38.3609 | − | 27.5013i | −1.24525 | − | 0.892731i | ||||
\(950\) | 11.5120 | + | 15.8449i | 0.373497 | + | 0.514075i | ||||
\(951\) | −47.1762 | + | 8.50484i | −1.52979 | + | 0.275788i | ||||
\(952\) | 24.6659 | + | 8.01443i | 0.799426 | + | 0.259749i | ||||
\(953\) | −13.3319 | + | 9.68620i | −0.431863 | + | 0.313767i | −0.782393 | − | 0.622785i | \(-0.786001\pi\) |
0.350531 | + | 0.936551i | \(0.386001\pi\) | |||||||
\(954\) | −19.2347 | + | 7.16816i | −0.622746 | + | 0.232078i | ||||
\(955\) | 41.8590 | − | 13.6008i | 1.35453 | − | 0.440112i | ||||
\(956\) | 50.3508i | 1.62846i | ||||||||
\(957\) | 9.56825 | + | 50.9239i | 0.309298 | + | 1.64614i | ||||
\(958\) | −70.7509 | −2.28586 | ||||||||
\(959\) | 8.51076 | + | 26.1934i | 0.274827 | + | 0.845830i | ||||
\(960\) | 7.59318 | − | 55.5717i | 0.245069 | − | 1.79357i | ||||
\(961\) | 23.7243 | − | 17.2367i | 0.765301 | − | 0.556023i | ||||
\(962\) | −4.78277 | + | 15.0434i | −0.154203 | + | 0.485018i | ||||
\(963\) | −20.3043 | − | 25.5820i | −0.654296 | − | 0.824367i | ||||
\(964\) | −31.0758 | + | 22.5779i | −1.00089 | + | 0.727186i | ||||
\(965\) | −15.6342 | − | 11.3589i | −0.503283 | − | 0.365657i | ||||
\(966\) | 59.5135 | − | 62.1022i | 1.91482 | − | 1.99811i | ||||
\(967\) | −0.421260 | −0.0135468 | −0.00677340 | − | 0.999977i | \(-0.502156\pi\) | ||||
−0.00677340 | + | 0.999977i | \(0.502156\pi\) | |||||||
\(968\) | −79.9741 | + | 27.2939i | −2.57047 | + | 0.877260i | ||||
\(969\) | −1.42591 | − | 2.65714i | −0.0458067 | − | 0.0853596i | ||||
\(970\) | 17.6347 | + | 54.2741i | 0.566216 | + | 1.74263i | ||||
\(971\) | 27.4808 | − | 37.8241i | 0.881900 | − | 1.21383i | −0.0939905 | − | 0.995573i | \(-0.529962\pi\) |
0.975891 | − | 0.218259i | \(-0.0700377\pi\) | |||||||
\(972\) | −3.88432 | + | 76.6007i | −0.124590 | + | 2.45697i | ||||
\(973\) | 49.0802 | + | 15.9471i | 1.57344 | + | 0.511241i | ||||
\(974\) | −7.35229 | + | 22.6280i | −0.235582 | + | 0.725048i | ||||
\(975\) | −24.4658 | − | 11.6265i | −0.783532 | − | 0.372345i | ||||
\(976\) | −5.26730 | + | 7.24981i | −0.168602 | + | 0.232061i | ||||
\(977\) | −5.53344 | − | 17.0302i | −0.177030 | − | 0.544844i | 0.822690 | − | 0.568490i | \(-0.192472\pi\) |
−0.999720 | + | 0.0236467i | \(0.992472\pi\) | |||||||
\(978\) | 30.7058 | + | 57.2196i | 0.981864 | + | 1.82968i | ||||
\(979\) | −53.4929 | − | 16.9464i | −1.70964 | − | 0.541608i | ||||
\(980\) | −61.3124 | −1.95855 | ||||||||
\(981\) | 23.4310 | + | 6.52495i | 0.748096 | + | 0.208326i | ||||
\(982\) | 36.2323 | − | 49.8695i | 1.15622 | − | 1.59140i | ||||
\(983\) | −33.7315 | + | 24.5074i | −1.07587 | + | 0.781664i | −0.976958 | − | 0.213432i | \(-0.931536\pi\) |
−0.0989103 | + | 0.995096i | \(0.531536\pi\) | |||||||
\(984\) | −39.6526 | + | 7.14851i | −1.26408 | + | 0.227886i | ||||
\(985\) | −32.9912 | − | 10.7195i | −1.05119 | − | 0.341551i | ||||
\(986\) | −14.1468 | − | 19.4714i | −0.450525 | − | 0.620094i | ||||
\(987\) | 8.77869 | − | 64.2479i | 0.279429 | − | 2.04503i | ||||
\(988\) | −9.59279 | − | 28.8995i | −0.305187 | − | 0.919415i | ||||
\(989\) | 0.541324 | 0.0172131 | ||||||||
\(990\) | 43.7243 | − | 66.9729i | 1.38965 | − | 2.12854i | ||||
\(991\) | −17.7918 | −0.565175 | −0.282588 | − | 0.959242i | \(-0.591193\pi\) | ||||
−0.282588 | + | 0.959242i | \(0.591193\pi\) | |||||||
\(992\) | 28.5881 | + | 87.9852i | 0.907674 | + | 2.79353i | ||||
\(993\) | −16.5826 | − | 2.26581i | −0.526233 | − | 0.0719033i | ||||
\(994\) | −43.4824 | − | 59.8484i | −1.37918 | − | 1.89828i | ||||
\(995\) | −11.6109 | + | 35.7348i | −0.368091 | + | 1.13287i | ||||
\(996\) | −4.05553 | − | 22.4959i | −0.128504 | − | 0.712811i | ||||
\(997\) | 2.09764 | + | 2.88716i | 0.0664330 | + | 0.0914371i | 0.840941 | − | 0.541127i | \(-0.182002\pi\) |
−0.774508 | + | 0.632565i | \(0.782002\pi\) | |||||||
\(998\) | −62.5404 | − | 45.4383i | −1.97968 | − | 1.43832i | ||||
\(999\) | 8.43758 | − | 1.89503i | 0.266953 | − | 0.0599562i |
(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.y.b.116.1 | ✓ | 176 | |
3.2 | odd | 2 | inner | 429.2.y.b.116.44 | yes | 176 | |
11.2 | odd | 10 | inner | 429.2.y.b.233.2 | yes | 176 | |
13.12 | even | 2 | inner | 429.2.y.b.116.43 | yes | 176 | |
33.2 | even | 10 | inner | 429.2.y.b.233.43 | yes | 176 | |
39.38 | odd | 2 | inner | 429.2.y.b.116.2 | yes | 176 | |
143.90 | odd | 10 | inner | 429.2.y.b.233.44 | yes | 176 | |
429.233 | even | 10 | inner | 429.2.y.b.233.1 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.y.b.116.1 | ✓ | 176 | 1.1 | even | 1 | trivial | |
429.2.y.b.116.2 | yes | 176 | 39.38 | odd | 2 | inner | |
429.2.y.b.116.43 | yes | 176 | 13.12 | even | 2 | inner | |
429.2.y.b.116.44 | yes | 176 | 3.2 | odd | 2 | inner | |
429.2.y.b.233.1 | yes | 176 | 429.233 | even | 10 | inner | |
429.2.y.b.233.2 | yes | 176 | 11.2 | odd | 10 | inner | |
429.2.y.b.233.43 | yes | 176 | 33.2 | even | 10 | inner | |
429.2.y.b.233.44 | yes | 176 | 143.90 | odd | 10 | inner |