Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(6,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.bc (of order \(12\), 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: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 41.6 | ||
Character | \(\chi\) | \(=\) | 91.41 |
Dual form | 91.2.bc.a.20.6 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.112775 | − | 0.0302180i | −0.0797441 | − | 0.0213674i | 0.218726 | − | 0.975786i | \(-0.429810\pi\) |
−0.298471 | + | 0.954419i | \(0.596476\pi\) | |||||||
\(3\) | 2.25055 | − | 1.29935i | 1.29935 | − | 0.750182i | 0.319062 | − | 0.947734i | \(-0.396632\pi\) |
0.980292 | + | 0.197552i | \(0.0632990\pi\) | |||||||
\(4\) | −1.72025 | − | 0.993184i | −0.860123 | − | 0.496592i | ||||
\(5\) | 1.24841 | + | 1.24841i | 0.558308 | + | 0.558308i | 0.928825 | − | 0.370518i | \(-0.120820\pi\) |
−0.370518 | + | 0.928825i | \(0.620820\pi\) | |||||||
\(6\) | −0.293070 | + | 0.0785278i | −0.119645 | + | 0.0320589i | ||||
\(7\) | −2.63771 | − | 0.206123i | −0.996961 | − | 0.0779070i | ||||
\(8\) | 0.329103 | + | 0.329103i | 0.116356 | + | 0.116356i | ||||
\(9\) | 1.87664 | − | 3.25044i | 0.625547 | − | 1.08348i | ||||
\(10\) | −0.103066 | − | 0.178515i | −0.0325922 | − | 0.0564514i | ||||
\(11\) | −0.506699 | + | 1.89103i | −0.152775 | + | 0.570166i | 0.846510 | + | 0.532373i | \(0.178699\pi\) |
−0.999286 | + | 0.0377930i | \(0.987967\pi\) | |||||||
\(12\) | −5.16199 | −1.49014 | ||||||||
\(13\) | 1.85749 | + | 3.09026i | 0.515175 | + | 0.857085i | ||||
\(14\) | 0.291240 | + | 0.102952i | 0.0778371 | + | 0.0275151i | ||||
\(15\) | 4.43175 | + | 1.18748i | 1.14427 | + | 0.306607i | ||||
\(16\) | 1.95920 | + | 3.39343i | 0.489800 | + | 0.848358i | ||||
\(17\) | 2.13907 | − | 3.70498i | 0.518801 | − | 0.898589i | −0.480960 | − | 0.876742i | \(-0.659712\pi\) |
0.999761 | − | 0.0218471i | \(-0.00695471\pi\) | |||||||
\(18\) | −0.309861 | + | 0.309861i | −0.0730348 | + | 0.0730348i | ||||
\(19\) | −4.12248 | + | 1.10462i | −0.945762 | + | 0.253416i | −0.698563 | − | 0.715549i | \(-0.746177\pi\) |
−0.247199 | + | 0.968965i | \(0.579510\pi\) | |||||||
\(20\) | −0.907674 | − | 3.38749i | −0.202962 | − | 0.757465i | ||||
\(21\) | −6.20412 | + | 2.96343i | −1.35385 | + | 0.646673i | ||||
\(22\) | 0.114286 | − | 0.197949i | 0.0243659 | − | 0.0422030i | ||||
\(23\) | −5.53927 | + | 3.19810i | −1.15502 | + | 0.666850i | −0.950105 | − | 0.311930i | \(-0.899024\pi\) |
−0.204913 | + | 0.978780i | \(0.565691\pi\) | |||||||
\(24\) | 1.16828 | + | 0.313041i | 0.238475 | + | 0.0638992i | ||||
\(25\) | − | 1.88292i | − | 0.376585i | ||||||
\(26\) | −0.116097 | − | 0.404635i | −0.0227685 | − | 0.0793554i | ||||
\(27\) | − | 1.95756i | − | 0.376733i | ||||||
\(28\) | 4.33279 | + | 2.97431i | 0.818821 | + | 0.562092i | ||||
\(29\) | −3.57954 | − | 6.19995i | −0.664704 | − | 1.15130i | −0.979365 | − | 0.202097i | \(-0.935224\pi\) |
0.314661 | − | 0.949204i | \(-0.398109\pi\) | |||||||
\(30\) | −0.463908 | − | 0.267837i | −0.0846976 | − | 0.0489002i | ||||
\(31\) | 3.02628 | + | 3.02628i | 0.543535 | + | 0.543535i | 0.924563 | − | 0.381028i | \(-0.124430\pi\) |
−0.381028 | + | 0.924563i | \(0.624430\pi\) | |||||||
\(32\) | −0.359327 | − | 1.34103i | −0.0635206 | − | 0.237062i | ||||
\(33\) | 1.31676 | + | 4.91422i | 0.229219 | + | 0.855456i | ||||
\(34\) | −0.353191 | + | 0.353191i | −0.0605718 | + | 0.0605718i | ||||
\(35\) | −3.03563 | − | 3.55028i | −0.513115 | − | 0.600107i | ||||
\(36\) | −6.45657 | + | 3.72770i | −1.07609 | + | 0.621284i | ||||
\(37\) | −0.732202 | + | 2.73261i | −0.120373 | + | 0.449239i | −0.999633 | − | 0.0271042i | \(-0.991371\pi\) |
0.879259 | + | 0.476343i | \(0.158038\pi\) | |||||||
\(38\) | 0.498293 | 0.0808338 | ||||||||
\(39\) | 8.19572 | + | 4.54125i | 1.31236 | + | 0.727181i | ||||
\(40\) | 0.821715i | 0.129925i | ||||||||
\(41\) | 2.94901 | − | 11.0059i | 0.460558 | − | 1.71883i | −0.210654 | − | 0.977561i | \(-0.567559\pi\) |
0.671212 | − | 0.741266i | \(-0.265774\pi\) | |||||||
\(42\) | 0.789220 | − | 0.146725i | 0.121779 | − | 0.0226402i | ||||
\(43\) | −1.55234 | − | 0.896243i | −0.236730 | − | 0.136676i | 0.376943 | − | 0.926236i | \(-0.376975\pi\) |
−0.613673 | + | 0.789561i | \(0.710309\pi\) | |||||||
\(44\) | 2.74978 | − | 2.74978i | 0.414545 | − | 0.414545i | ||||
\(45\) | 6.40072 | − | 1.71507i | 0.954163 | − | 0.255667i | ||||
\(46\) | 0.721333 | − | 0.193281i | 0.106355 | − | 0.0284977i | ||||
\(47\) | 4.68665 | − | 4.68665i | 0.683618 | − | 0.683618i | −0.277196 | − | 0.960814i | \(-0.589405\pi\) |
0.960814 | + | 0.277196i | \(0.0894050\pi\) | |||||||
\(48\) | 8.81854 | + | 5.09139i | 1.27285 | + | 0.734878i | ||||
\(49\) | 6.91503 | + | 1.08738i | 0.987861 | + | 0.155340i | ||||
\(50\) | −0.0568982 | + | 0.212347i | −0.00804663 | + | 0.0300304i | ||||
\(51\) | − | 11.1176i | − | 1.55678i | ||||||
\(52\) | −0.126138 | − | 7.16084i | −0.0174922 | − | 0.993030i | ||||
\(53\) | 4.27793 | 0.587619 | 0.293809 | − | 0.955864i | \(-0.405077\pi\) | ||||
0.293809 | + | 0.955864i | \(0.405077\pi\) | |||||||
\(54\) | −0.0591537 | + | 0.220765i | −0.00804980 | + | 0.0300423i | ||||
\(55\) | −2.99335 | + | 1.72821i | −0.403624 | + | 0.233032i | ||||
\(56\) | −0.800244 | − | 0.935915i | −0.106937 | − | 0.125067i | ||||
\(57\) | −7.84255 | + | 7.84255i | −1.03877 | + | 1.03877i | ||||
\(58\) | 0.216333 | + | 0.807367i | 0.0284060 | + | 0.106013i | ||||
\(59\) | 0.436704 | + | 1.62980i | 0.0568541 | + | 0.212182i | 0.988509 | − | 0.151162i | \(-0.0483015\pi\) |
−0.931655 | + | 0.363344i | \(0.881635\pi\) | |||||||
\(60\) | −6.44431 | − | 6.44431i | −0.831956 | − | 0.831956i | ||||
\(61\) | −2.66960 | − | 1.54129i | −0.341807 | − | 0.197342i | 0.319264 | − | 0.947666i | \(-0.396564\pi\) |
−0.661071 | + | 0.750323i | \(0.729898\pi\) | |||||||
\(62\) | −0.249841 | − | 0.432737i | −0.0317298 | − | 0.0549577i | ||||
\(63\) | −5.62002 | + | 8.18690i | −0.708057 | + | 1.03145i | ||||
\(64\) | − | 7.67470i | − | 0.959338i | ||||||
\(65\) | −1.53901 | + | 6.17685i | −0.190891 | + | 0.766144i | ||||
\(66\) | − | 0.593993i | − | 0.0731154i | ||||||
\(67\) | −0.0190380 | − | 0.00510122i | −0.00232586 | − | 0.000623213i | 0.257656 | − | 0.966237i | \(-0.417050\pi\) |
−0.259982 | + | 0.965614i | \(0.583717\pi\) | |||||||
\(68\) | −7.35945 | + | 4.24898i | −0.892465 | + | 0.515265i | ||||
\(69\) | −8.31093 | + | 14.3949i | −1.00052 | + | 1.73295i | ||||
\(70\) | 0.235061 | + | 0.492115i | 0.0280952 | + | 0.0588189i | ||||
\(71\) | 1.23109 | + | 4.59449i | 0.146104 | + | 0.545266i | 0.999704 | + | 0.0243373i | \(0.00774758\pi\) |
−0.853600 | + | 0.520929i | \(0.825586\pi\) | |||||||
\(72\) | 1.68734 | − | 0.452121i | 0.198855 | − | 0.0532830i | ||||
\(73\) | −0.698492 | + | 0.698492i | −0.0817523 | + | 0.0817523i | −0.746800 | − | 0.665048i | \(-0.768411\pi\) |
0.665048 | + | 0.746800i | \(0.268411\pi\) | |||||||
\(74\) | 0.165148 | − | 0.286046i | 0.0191981 | − | 0.0332521i | ||||
\(75\) | −2.44658 | − | 4.23761i | −0.282507 | − | 0.489317i | ||||
\(76\) | 8.18877 | + | 2.19417i | 0.939316 | + | 0.251689i | ||||
\(77\) | 1.72631 | − | 4.88353i | 0.196731 | − | 0.556530i | ||||
\(78\) | −0.787046 | − | 0.759799i | −0.0891154 | − | 0.0860303i | ||||
\(79\) | −5.93719 | −0.667987 | −0.333993 | − | 0.942575i | \(-0.608396\pi\) | ||||
−0.333993 | + | 0.942575i | \(0.608396\pi\) | |||||||
\(80\) | −1.79052 | + | 6.68230i | −0.200186 | + | 0.747104i | ||||
\(81\) | 3.08636 | + | 5.34573i | 0.342929 | + | 0.593970i | ||||
\(82\) | −0.665151 | + | 1.15208i | −0.0734536 | + | 0.127225i | ||||
\(83\) | −9.87683 | − | 9.87683i | −1.08412 | − | 1.08412i | −0.996120 | − | 0.0880033i | \(-0.971951\pi\) |
−0.0880033 | − | 0.996120i | \(-0.528049\pi\) | |||||||
\(84\) | 13.6158 | + | 1.06400i | 1.48561 | + | 0.116092i | ||||
\(85\) | 7.29580 | − | 1.95490i | 0.791340 | − | 0.212039i | ||||
\(86\) | 0.147983 | + | 0.147983i | 0.0159574 | + | 0.0159574i | ||||
\(87\) | −16.1119 | − | 9.30218i | −1.72737 | − | 0.997299i | ||||
\(88\) | −0.789099 | + | 0.455587i | −0.0841183 | + | 0.0485657i | ||||
\(89\) | 7.76240 | + | 2.07993i | 0.822813 | + | 0.220472i | 0.645576 | − | 0.763696i | \(-0.276617\pi\) |
0.177237 | + | 0.984168i | \(0.443284\pi\) | |||||||
\(90\) | −0.773669 | −0.0815519 | ||||||||
\(91\) | −4.26255 | − | 8.53409i | −0.446836 | − | 0.894616i | ||||
\(92\) | 12.7052 | 1.32461 | ||||||||
\(93\) | 10.7430 | + | 2.87857i | 1.11400 | + | 0.298494i | ||||
\(94\) | −0.670159 | + | 0.386917i | −0.0691216 | + | 0.0399074i | ||||
\(95\) | −6.52558 | − | 3.76755i | −0.669511 | − | 0.386542i | ||||
\(96\) | −2.55115 | − | 2.55115i | −0.260376 | − | 0.260376i | ||||
\(97\) | −14.2676 | + | 3.82300i | −1.44866 | + | 0.388167i | −0.895557 | − | 0.444946i | \(-0.853223\pi\) |
−0.553102 | + | 0.833113i | \(0.686556\pi\) | |||||||
\(98\) | −0.746985 | − | 0.331588i | −0.0754569 | − | 0.0334955i | ||||
\(99\) | 5.19577 | + | 5.19577i | 0.522194 | + | 0.522194i | ||||
\(100\) | −1.87009 | + | 3.23909i | −0.187009 | + | 0.323909i | ||||
\(101\) | 8.00479 | + | 13.8647i | 0.796506 | + | 1.37959i | 0.921878 | + | 0.387480i | \(0.126654\pi\) |
−0.125372 | + | 0.992110i | \(0.540012\pi\) | |||||||
\(102\) | −0.335953 | + | 1.25379i | −0.0332643 | + | 0.124144i | ||||
\(103\) | 11.8151 | 1.16418 | 0.582088 | − | 0.813126i | \(-0.302236\pi\) | ||||
0.582088 | + | 0.813126i | \(0.302236\pi\) | |||||||
\(104\) | −0.405710 | + | 1.62832i | −0.0397831 | + | 0.159670i | ||||
\(105\) | −11.4449 | − | 4.04572i | −1.11691 | − | 0.394822i | ||||
\(106\) | −0.482444 | − | 0.129271i | −0.0468591 | − | 0.0125559i | ||||
\(107\) | −3.99556 | − | 6.92051i | −0.386265 | − | 0.669031i | 0.605679 | − | 0.795709i | \(-0.292902\pi\) |
−0.991944 | + | 0.126678i | \(0.959568\pi\) | |||||||
\(108\) | −1.94422 | + | 3.36749i | −0.187083 | + | 0.324037i | ||||
\(109\) | −8.75647 | + | 8.75647i | −0.838718 | + | 0.838718i | −0.988690 | − | 0.149972i | \(-0.952082\pi\) |
0.149972 | + | 0.988690i | \(0.452082\pi\) | |||||||
\(110\) | 0.389799 | − | 0.104446i | 0.0371659 | − | 0.00995857i | ||||
\(111\) | 1.90278 | + | 7.10127i | 0.180604 | + | 0.674022i | ||||
\(112\) | −4.46833 | − | 9.35472i | −0.422218 | − | 0.883938i | ||||
\(113\) | 4.27217 | − | 7.39961i | 0.401892 | − | 0.696097i | −0.592063 | − | 0.805892i | \(-0.701686\pi\) |
0.993954 | + | 0.109795i | \(0.0350195\pi\) | |||||||
\(114\) | 1.12143 | − | 0.647459i | 0.105032 | − | 0.0606401i | ||||
\(115\) | −10.9079 | − | 2.92275i | −1.01716 | − | 0.272548i | ||||
\(116\) | 14.2206i | 1.32035i | ||||||||
\(117\) | 13.5306 | − | 0.238340i | 1.25090 | − | 0.0220346i | ||||
\(118\) | − | 0.196998i | − | 0.0181351i | ||||||
\(119\) | −6.40593 | + | 9.33175i | −0.587230 | + | 0.855440i | ||||
\(120\) | 1.06770 | + | 1.84931i | 0.0974671 | + | 0.168818i | ||||
\(121\) | 6.20705 | + | 3.58364i | 0.564277 | + | 0.325785i | ||||
\(122\) | 0.254490 | + | 0.254490i | 0.0230404 | + | 0.0230404i | ||||
\(123\) | −7.66362 | − | 28.6010i | −0.691005 | − | 2.57887i | ||||
\(124\) | −2.20029 | − | 8.21159i | −0.197592 | − | 0.737422i | ||||
\(125\) | 8.59274 | − | 8.59274i | 0.768558 | − | 0.768558i | ||||
\(126\) | 0.881192 | − | 0.753453i | 0.0785028 | − | 0.0671229i | ||||
\(127\) | −5.29483 | + | 3.05697i | −0.469840 | + | 0.271262i | −0.716173 | − | 0.697923i | \(-0.754108\pi\) |
0.246333 | + | 0.969185i | \(0.420774\pi\) | |||||||
\(128\) | −0.950568 | + | 3.54757i | −0.0840191 | + | 0.313564i | ||||
\(129\) | −4.65815 | −0.410127 | ||||||||
\(130\) | 0.360215 | − | 0.650090i | 0.0315929 | − | 0.0570166i | ||||
\(131\) | 5.76435i | 0.503634i | 0.967775 | + | 0.251817i | \(0.0810280\pi\) | ||||
−0.967775 | + | 0.251817i | \(0.918972\pi\) | |||||||
\(132\) | 2.61557 | − | 9.76146i | 0.227657 | − | 0.849626i | ||||
\(133\) | 11.1016 | − | 2.06392i | 0.962630 | − | 0.178964i | ||||
\(134\) | 0.00199287 | + | 0.00115058i | 0.000172157 | + | 9.93951e-5i | ||||
\(135\) | 2.44385 | − | 2.44385i | 0.210333 | − | 0.210333i | ||||
\(136\) | 1.92330 | − | 0.515346i | 0.164921 | − | 0.0441905i | ||||
\(137\) | −6.06188 | + | 1.62427i | −0.517901 | + | 0.138771i | −0.508296 | − | 0.861183i | \(-0.669724\pi\) |
−0.00960548 | + | 0.999954i | \(0.503058\pi\) | |||||||
\(138\) | 1.37225 | − | 1.37225i | 0.116814 | − | 0.116814i | ||||
\(139\) | 18.1314 | + | 10.4682i | 1.53789 | + | 0.887900i | 0.998962 | + | 0.0455477i | \(0.0145033\pi\) |
0.538927 | + | 0.842353i | \(0.318830\pi\) | |||||||
\(140\) | 1.69594 | + | 9.12229i | 0.143333 | + | 0.770975i | ||||
\(141\) | 4.45791 | − | 16.6371i | 0.375424 | − | 1.40110i | ||||
\(142\) | − | 0.555346i | − | 0.0466036i | ||||||
\(143\) | −6.78495 | + | 1.94673i | −0.567386 | + | 0.162794i | ||||
\(144\) | 14.7069 | 1.22557 | ||||||||
\(145\) | 3.27135 | − | 12.2089i | 0.271671 | − | 1.01389i | ||||
\(146\) | 0.0998797 | − | 0.0576656i | 0.00826610 | − | 0.00477244i | ||||
\(147\) | 16.9755 | − | 6.53786i | 1.40011 | − | 0.539234i | ||||
\(148\) | 3.97356 | − | 3.97356i | 0.326624 | − | 0.326624i | ||||
\(149\) | 4.00070 | + | 14.9308i | 0.327750 | + | 1.22318i | 0.911518 | + | 0.411260i | \(0.134911\pi\) |
−0.583768 | + | 0.811921i | \(0.698422\pi\) | |||||||
\(150\) | 0.147862 | + | 0.551828i | 0.0120729 | + | 0.0450566i | ||||
\(151\) | 3.12599 | + | 3.12599i | 0.254390 | + | 0.254390i | 0.822768 | − | 0.568378i | \(-0.192429\pi\) |
−0.568378 | + | 0.822768i | \(0.692429\pi\) | |||||||
\(152\) | −1.72026 | − | 0.993190i | −0.139531 | − | 0.0805583i | ||||
\(153\) | −8.02854 | − | 13.9058i | −0.649069 | − | 1.12422i | ||||
\(154\) | −0.342256 | + | 0.498576i | −0.0275797 | + | 0.0401764i | ||||
\(155\) | 7.55609i | 0.606920i | ||||||||
\(156\) | −9.58835 | − | 15.9519i | −0.767682 | − | 1.27718i | ||||
\(157\) | 6.93064i | 0.553125i | 0.960996 | + | 0.276563i | \(0.0891953\pi\) | ||||
−0.960996 | + | 0.276563i | \(0.910805\pi\) | |||||||
\(158\) | 0.669569 | + | 0.179410i | 0.0532680 | + | 0.0142731i | ||||
\(159\) | 9.62768 | − | 5.55854i | 0.763525 | − | 0.440821i | ||||
\(160\) | 1.22557 | − | 2.12274i | 0.0968896 | − | 0.167818i | ||||
\(161\) | 15.2702 | − | 7.29389i | 1.20346 | − | 0.574839i | ||||
\(162\) | −0.186527 | − | 0.696129i | −0.0146550 | − | 0.0546931i | ||||
\(163\) | −12.4944 | + | 3.34785i | −0.978634 | + | 0.262224i | −0.712469 | − | 0.701703i | \(-0.752423\pi\) |
−0.266165 | + | 0.963928i | \(0.585757\pi\) | |||||||
\(164\) | −16.0039 | + | 16.0039i | −1.24969 | + | 1.24969i | ||||
\(165\) | −4.49112 | + | 7.77885i | −0.349633 | + | 0.605583i | ||||
\(166\) | 0.815404 | + | 1.41232i | 0.0632876 | + | 0.109617i | ||||
\(167\) | 0.900490 | + | 0.241286i | 0.0696820 | + | 0.0186712i | 0.293492 | − | 0.955962i | \(-0.405183\pi\) |
−0.223810 | + | 0.974633i | \(0.571849\pi\) | |||||||
\(168\) | −3.01707 | − | 1.06652i | −0.232772 | − | 0.0822839i | ||||
\(169\) | −6.09946 | + | 11.4803i | −0.469189 | + | 0.883098i | ||||
\(170\) | −0.881858 | −0.0676355 | ||||||||
\(171\) | −4.14593 | + | 15.4728i | −0.317047 | + | 1.18324i | ||||
\(172\) | 1.78027 | + | 3.08352i | 0.135744 | + | 0.235116i | ||||
\(173\) | 0.263780 | − | 0.456880i | 0.0200548 | − | 0.0347360i | −0.855824 | − | 0.517267i | \(-0.826949\pi\) |
0.875879 | + | 0.482531i | \(0.160283\pi\) | |||||||
\(174\) | 1.53592 | + | 1.53592i | 0.116438 | + | 0.116438i | ||||
\(175\) | −0.388113 | + | 4.96660i | −0.0293386 | + | 0.375440i | ||||
\(176\) | −7.40979 | + | 1.98545i | −0.558534 | + | 0.149659i | ||||
\(177\) | 3.10051 | + | 3.10051i | 0.233049 | + | 0.233049i | ||||
\(178\) | −0.812555 | − | 0.469129i | −0.0609036 | − | 0.0351627i | ||||
\(179\) | 7.16206 | − | 4.13502i | 0.535317 | − | 0.309066i | −0.207862 | − | 0.978158i | \(-0.566650\pi\) |
0.743179 | + | 0.669093i | \(0.233317\pi\) | |||||||
\(180\) | −12.7142 | − | 3.40676i | −0.947660 | − | 0.253925i | ||||
\(181\) | −14.9785 | −1.11334 | −0.556672 | − | 0.830732i | \(-0.687922\pi\) | ||||
−0.556672 | + | 0.830732i | \(0.687922\pi\) | |||||||
\(182\) | 0.222826 | + | 1.09124i | 0.0165170 | + | 0.0808881i | ||||
\(183\) | −8.01075 | −0.592171 | ||||||||
\(184\) | −2.87550 | − | 0.770488i | −0.211985 | − | 0.0568011i | ||||
\(185\) | −4.32553 | + | 2.49734i | −0.318019 | + | 0.183608i | ||||
\(186\) | −1.12456 | − | 0.649263i | −0.0824565 | − | 0.0476063i | ||||
\(187\) | 5.92234 | + | 5.92234i | 0.433085 | + | 0.433085i | ||||
\(188\) | −12.7169 | + | 3.40748i | −0.927475 | + | 0.248516i | ||||
\(189\) | −0.403498 | + | 5.16348i | −0.0293502 | + | 0.375588i | ||||
\(190\) | 0.622076 | + | 0.622076i | 0.0451301 | + | 0.0451301i | ||||
\(191\) | 7.26461 | − | 12.5827i | 0.525649 | − | 0.910450i | −0.473905 | − | 0.880576i | \(-0.657156\pi\) |
0.999554 | − | 0.0298741i | \(-0.00951063\pi\) | |||||||
\(192\) | −9.97216 | − | 17.2723i | −0.719678 | − | 1.24652i | ||||
\(193\) | 5.06711 | − | 18.9107i | 0.364738 | − | 1.36122i | −0.503037 | − | 0.864265i | \(-0.667784\pi\) |
0.867775 | − | 0.496957i | \(-0.165549\pi\) | |||||||
\(194\) | 1.72456 | 0.123816 | ||||||||
\(195\) | 4.56229 | + | 15.9010i | 0.326712 | + | 1.13869i | ||||
\(196\) | −10.8156 | − | 8.73846i | −0.772541 | − | 0.624176i | ||||
\(197\) | −21.0175 | − | 5.63163i | −1.49744 | − | 0.401237i | −0.585196 | − | 0.810892i | \(-0.698982\pi\) |
−0.912240 | + | 0.409655i | \(0.865649\pi\) | |||||||
\(198\) | −0.428948 | − | 0.742960i | −0.0304840 | − | 0.0527999i | ||||
\(199\) | 9.64065 | − | 16.6981i | 0.683408 | − | 1.18370i | −0.290527 | − | 0.956867i | \(-0.593830\pi\) |
0.973934 | − | 0.226830i | \(-0.0728362\pi\) | |||||||
\(200\) | 0.619676 | − | 0.619676i | 0.0438177 | − | 0.0438177i | ||||
\(201\) | −0.0494742 | + | 0.0132566i | −0.00348964 | + | 0.000935047i | ||||
\(202\) | −0.483778 | − | 1.80548i | −0.0340385 | − | 0.127033i | ||||
\(203\) | 8.16384 | + | 17.0915i | 0.572989 | + | 1.19959i | ||||
\(204\) | −11.0419 | + | 19.1251i | −0.773085 | + | 1.33902i | ||||
\(205\) | 17.4215 | − | 10.0583i | 1.21677 | − | 0.702501i | ||||
\(206\) | −1.33245 | − | 0.357029i | −0.0928363 | − | 0.0248754i | ||||
\(207\) | 24.0067i | 1.66858i | ||||||||
\(208\) | −6.84741 | + | 12.3577i | −0.474782 | + | 0.856853i | ||||
\(209\) | − | 8.35542i | − | 0.577957i | ||||||
\(210\) | 1.16845 | + | 0.802099i | 0.0806305 | + | 0.0553501i | ||||
\(211\) | 1.51130 | + | 2.61764i | 0.104042 | + | 0.180206i | 0.913346 | − | 0.407184i | \(-0.133489\pi\) |
−0.809304 | + | 0.587389i | \(0.800156\pi\) | |||||||
\(212\) | −7.35909 | − | 4.24877i | −0.505424 | − | 0.291807i | ||||
\(213\) | 8.74050 | + | 8.74050i | 0.598889 | + | 0.598889i | ||||
\(214\) | 0.241476 | + | 0.901200i | 0.0165070 | + | 0.0616048i | ||||
\(215\) | −0.819079 | − | 3.05685i | −0.0558607 | − | 0.208475i | ||||
\(216\) | 0.644241 | − | 0.644241i | 0.0438350 | − | 0.0438350i | ||||
\(217\) | −7.35865 | − | 8.60622i | −0.499538 | − | 0.584228i | ||||
\(218\) | 1.25212 | − | 0.722910i | 0.0848040 | − | 0.0489616i | ||||
\(219\) | −0.664401 | + | 2.47958i | −0.0448961 | + | 0.167554i | ||||
\(220\) | 6.86574 | 0.462888 | ||||||||
\(221\) | 15.4227 | − | 0.271670i | 1.03744 | − | 0.0182745i | ||||
\(222\) | − | 0.858345i | − | 0.0576084i | ||||||
\(223\) | −1.13865 | + | 4.24949i | −0.0762495 | + | 0.284567i | −0.993514 | − | 0.113712i | \(-0.963726\pi\) |
0.917264 | + | 0.398279i | \(0.130392\pi\) | |||||||
\(224\) | 0.671384 | + | 3.61130i | 0.0448587 | + | 0.241290i | ||||
\(225\) | −6.12033 | − | 3.53357i | −0.408022 | − | 0.235571i | ||||
\(226\) | −0.705396 | + | 0.705396i | −0.0469223 | + | 0.0469223i | ||||
\(227\) | 3.95917 | − | 1.06086i | 0.262780 | − | 0.0704116i | −0.125024 | − | 0.992154i | \(-0.539901\pi\) |
0.387803 | + | 0.921742i | \(0.373234\pi\) | |||||||
\(228\) | 21.2802 | − | 5.70202i | 1.40932 | − | 0.377625i | ||||
\(229\) | −9.60039 | + | 9.60039i | −0.634412 | + | 0.634412i | −0.949171 | − | 0.314760i | \(-0.898076\pi\) |
0.314760 | + | 0.949171i | \(0.398076\pi\) | |||||||
\(230\) | 1.14182 | + | 0.659228i | 0.0752892 | + | 0.0434682i | ||||
\(231\) | −2.46030 | − | 13.2337i | −0.161876 | − | 0.870714i | ||||
\(232\) | 0.862385 | − | 3.21846i | 0.0566183 | − | 0.211303i | ||||
\(233\) | 16.3500i | 1.07113i | 0.844495 | + | 0.535563i | \(0.179900\pi\) | ||||
−0.844495 | + | 0.535563i | \(0.820100\pi\) | |||||||
\(234\) | −1.53311 | − | 0.381988i | −0.100223 | − | 0.0249713i | ||||
\(235\) | 11.7018 | 0.763339 | ||||||||
\(236\) | 0.867456 | − | 3.23739i | 0.0564666 | − | 0.210736i | ||||
\(237\) | −13.3619 | + | 7.71452i | −0.867951 | + | 0.501112i | ||||
\(238\) | 1.00442 | − | 0.858816i | 0.0651067 | − | 0.0556688i | ||||
\(239\) | 6.11495 | − | 6.11495i | 0.395543 | − | 0.395543i | −0.481115 | − | 0.876658i | \(-0.659768\pi\) |
0.876658 | + | 0.481115i | \(0.159768\pi\) | |||||||
\(240\) | 4.65303 | + | 17.3653i | 0.300352 | + | 1.12093i | ||||
\(241\) | −3.47625 | − | 12.9736i | −0.223925 | − | 0.835700i | −0.982832 | − | 0.184501i | \(-0.940933\pi\) |
0.758907 | − | 0.651199i | \(-0.225734\pi\) | |||||||
\(242\) | −0.591711 | − | 0.591711i | −0.0380366 | − | 0.0380366i | ||||
\(243\) | 18.9779 | + | 10.9569i | 1.21743 | + | 0.702885i | ||||
\(244\) | 3.06158 | + | 5.30281i | 0.195997 | + | 0.339478i | ||||
\(245\) | 7.27531 | + | 9.99032i | 0.464803 | + | 0.638258i | ||||
\(246\) | 3.45707i | 0.220414i | ||||||||
\(247\) | −11.0710 | − | 10.6877i | −0.704432 | − | 0.680045i | ||||
\(248\) | 1.99192i | 0.126487i | ||||||||
\(249\) | −35.0618 | − | 9.39478i | −2.22195 | − | 0.595370i | ||||
\(250\) | −1.22870 | + | 0.709393i | −0.0777101 | + | 0.0448659i | ||||
\(251\) | 1.74301 | − | 3.01899i | 0.110018 | − | 0.190557i | −0.805759 | − | 0.592243i | \(-0.798242\pi\) |
0.915777 | + | 0.401686i | \(0.131576\pi\) | |||||||
\(252\) | 17.7989 | − | 8.50175i | 1.12123 | − | 0.535560i | ||||
\(253\) | −3.24095 | − | 12.0954i | −0.203756 | − | 0.760430i | ||||
\(254\) | 0.689501 | − | 0.184751i | 0.0432631 | − | 0.0115923i | ||||
\(255\) | 13.8794 | − | 13.8794i | 0.869163 | − | 0.869163i | ||||
\(256\) | −7.46030 | + | 12.9216i | −0.466269 | + | 0.807601i | ||||
\(257\) | −6.72396 | − | 11.6462i | −0.419429 | − | 0.726472i | 0.576453 | − | 0.817130i | \(-0.304436\pi\) |
−0.995882 | + | 0.0906578i | \(0.971103\pi\) | |||||||
\(258\) | 0.525324 | + | 0.140760i | 0.0327052 | + | 0.00876334i | ||||
\(259\) | 2.49459 | − | 7.05692i | 0.155006 | − | 0.438496i | ||||
\(260\) | 8.78223 | − | 9.09717i | 0.544651 | − | 0.564183i | ||||
\(261\) | −26.8701 | −1.66322 | ||||||||
\(262\) | 0.174187 | − | 0.650076i | 0.0107613 | − | 0.0401618i | ||||
\(263\) | −10.2679 | − | 17.7846i | −0.633147 | − | 1.09664i | −0.986904 | − | 0.161306i | \(-0.948430\pi\) |
0.353757 | − | 0.935337i | \(-0.384904\pi\) | |||||||
\(264\) | −1.18394 | + | 2.05064i | −0.0728663 | + | 0.126208i | ||||
\(265\) | 5.34063 | + | 5.34063i | 0.328072 | + | 0.328072i | ||||
\(266\) | −1.31435 | − | 0.102709i | −0.0805881 | − | 0.00629752i | ||||
\(267\) | 20.1722 | − | 5.40513i | 1.23452 | − | 0.330788i | ||||
\(268\) | 0.0276836 | + | 0.0276836i | 0.00169104 | + | 0.00169104i | ||||
\(269\) | 9.29875 | + | 5.36864i | 0.566955 | + | 0.327332i | 0.755932 | − | 0.654650i | \(-0.227184\pi\) |
−0.188977 | + | 0.981981i | \(0.560517\pi\) | |||||||
\(270\) | −0.349454 | + | 0.201757i | −0.0212671 | + | 0.0122786i | ||||
\(271\) | 1.44767 | + | 0.387901i | 0.0879396 | + | 0.0235633i | 0.302521 | − | 0.953143i | \(-0.402172\pi\) |
−0.214581 | + | 0.976706i | \(0.568839\pi\) | |||||||
\(272\) | 16.7635 | 1.01643 | ||||||||
\(273\) | −20.6819 | − | 13.6678i | −1.25172 | − | 0.827214i | ||||
\(274\) | 0.732712 | 0.0442647 | ||||||||
\(275\) | 3.56065 | + | 0.954075i | 0.214716 | + | 0.0575329i | ||||
\(276\) | 28.5937 | − | 16.5086i | 1.72114 | − | 0.993699i | ||||
\(277\) | 4.07919 | + | 2.35512i | 0.245095 | + | 0.141506i | 0.617516 | − | 0.786558i | \(-0.288139\pi\) |
−0.372421 | + | 0.928064i | \(0.621472\pi\) | |||||||
\(278\) | −1.72845 | − | 1.72845i | −0.103666 | − | 0.103666i | ||||
\(279\) | 15.5160 | − | 4.15749i | 0.928916 | − | 0.248902i | ||||
\(280\) | 0.169374 | − | 2.16745i | 0.0101220 | − | 0.129530i | ||||
\(281\) | 8.01227 | + | 8.01227i | 0.477972 | + | 0.477972i | 0.904483 | − | 0.426511i | \(-0.140257\pi\) |
−0.426511 | + | 0.904483i | \(0.640257\pi\) | |||||||
\(282\) | −1.00548 | + | 1.74155i | −0.0598757 | + | 0.103708i | ||||
\(283\) | 3.93934 | + | 6.82313i | 0.234169 | + | 0.405593i | 0.959031 | − | 0.283301i | \(-0.0914297\pi\) |
−0.724862 | + | 0.688894i | \(0.758096\pi\) | |||||||
\(284\) | 2.44540 | − | 9.12636i | 0.145108 | − | 0.541550i | ||||
\(285\) | −19.5815 | −1.15991 | ||||||||
\(286\) | 0.824001 | − | 0.0145147i | 0.0487242 | − | 0.000858275i | ||||
\(287\) | −10.0472 | + | 28.4224i | −0.593067 | + | 1.67772i | ||||
\(288\) | −5.03325 | − | 1.34865i | −0.296587 | − | 0.0794703i | ||||
\(289\) | −0.651246 | − | 1.12799i | −0.0383086 | − | 0.0663525i | ||||
\(290\) | −0.737855 | + | 1.27800i | −0.0433284 | + | 0.0750469i | ||||
\(291\) | −27.1426 | + | 27.1426i | −1.59113 | + | 1.59113i | ||||
\(292\) | 1.89531 | − | 0.507847i | 0.110915 | − | 0.0297195i | ||||
\(293\) | −3.16216 | − | 11.8013i | −0.184735 | − | 0.689442i | −0.994687 | − | 0.102945i | \(-0.967173\pi\) |
0.809952 | − | 0.586497i | \(-0.199493\pi\) | |||||||
\(294\) | −2.11198 | + | 0.224343i | −0.123173 | + | 0.0130839i | ||||
\(295\) | −1.48948 | + | 2.57986i | −0.0867210 | + | 0.150205i | ||||
\(296\) | −1.14028 | + | 0.658343i | −0.0662776 | + | 0.0382654i | ||||
\(297\) | 3.70180 | + | 0.991894i | 0.214800 | + | 0.0575556i | ||||
\(298\) | − | 1.80472i | − | 0.104545i | ||||||
\(299\) | −20.1721 | − | 11.1774i | −1.16658 | − | 0.646404i | ||||
\(300\) | 9.71963i | 0.561163i | ||||||||
\(301\) | 3.90988 | + | 2.68400i | 0.225362 | + | 0.154703i | ||||
\(302\) | −0.258073 | − | 0.446996i | −0.0148504 | − | 0.0257217i | ||||
\(303\) | 36.0303 | + | 20.8021i | 2.06989 | + | 1.19505i | ||||
\(304\) | −11.8252 | − | 11.8252i | −0.678221 | − | 0.678221i | ||||
\(305\) | −1.40859 | − | 5.25694i | −0.0806558 | − | 0.301011i | ||||
\(306\) | 0.485213 | + | 1.81084i | 0.0277378 | + | 0.103519i | ||||
\(307\) | 7.97207 | − | 7.97207i | 0.454990 | − | 0.454990i | −0.442017 | − | 0.897007i | \(-0.645737\pi\) |
0.897007 | + | 0.442017i | \(0.145737\pi\) | |||||||
\(308\) | −7.81992 | + | 6.68634i | −0.445581 | + | 0.380989i | ||||
\(309\) | 26.5904 | − | 15.3520i | 1.51268 | − | 0.873345i | ||||
\(310\) | 0.228330 | − | 0.852140i | 0.0129683 | − | 0.0483983i | ||||
\(311\) | 13.0428 | 0.739588 | 0.369794 | − | 0.929114i | \(-0.379428\pi\) | ||||
0.369794 | + | 0.929114i | \(0.379428\pi\) | |||||||
\(312\) | 1.20270 | + | 4.19178i | 0.0680894 | + | 0.237313i | ||||
\(313\) | − | 3.57391i | − | 0.202009i | −0.994886 | − | 0.101005i | \(-0.967794\pi\) | ||
0.994886 | − | 0.101005i | \(-0.0322057\pi\) | |||||||
\(314\) | 0.209430 | − | 0.781604i | 0.0118188 | − | 0.0441085i | ||||
\(315\) | −17.2368 | + | 3.20452i | −0.971181 | + | 0.180554i | ||||
\(316\) | 10.2134 | + | 5.89673i | 0.574551 | + | 0.331717i | ||||
\(317\) | 23.4565 | − | 23.4565i | 1.31745 | − | 1.31745i | 0.401662 | − | 0.915788i | \(-0.368433\pi\) |
0.915788 | − | 0.401662i | \(-0.131567\pi\) | |||||||
\(318\) | −1.25373 | + | 0.335936i | −0.0703058 | + | 0.0188384i | ||||
\(319\) | 13.5380 | − | 3.62750i | 0.757983 | − | 0.203101i | ||||
\(320\) | 9.58121 | − | 9.58121i | 0.535606 | − | 0.535606i | ||||
\(321\) | −17.9844 | − | 10.3833i | −1.00379 | − | 0.579539i | ||||
\(322\) | −1.94251 | + | 0.361135i | −0.108252 | + | 0.0201253i | ||||
\(323\) | −4.72570 | + | 17.6366i | −0.262945 | + | 0.981324i | ||||
\(324\) | − | 12.2613i | − | 0.681183i | ||||||
\(325\) | 5.81873 | − | 3.49751i | 0.322765 | − | 0.194007i | ||||
\(326\) | 1.51022 | 0.0836434 | ||||||||
\(327\) | −8.32910 | + | 31.0846i | −0.460600 | + | 1.71898i | ||||
\(328\) | 4.59260 | − | 2.65154i | 0.253584 | − | 0.146407i | ||||
\(329\) | −13.3280 | + | 11.3960i | −0.734799 | + | 0.628282i | ||||
\(330\) | 0.741549 | − | 0.741549i | 0.0408209 | − | 0.0408209i | ||||
\(331\) | −0.245395 | − | 0.915826i | −0.0134881 | − | 0.0503383i | 0.958854 | − | 0.283900i | \(-0.0916285\pi\) |
−0.972342 | + | 0.233562i | \(0.924962\pi\) | |||||||
\(332\) | 7.18106 | + | 26.8001i | 0.394112 | + | 1.47085i | ||||
\(333\) | 7.50812 | + | 7.50812i | 0.411442 | + | 0.411442i | ||||
\(334\) | −0.0942618 | − | 0.0544221i | −0.00515778 | − | 0.00297784i | ||||
\(335\) | −0.0173989 | − | 0.0301357i | −0.000950602 | − | 0.00164649i | ||||
\(336\) | −22.2113 | − | 15.2473i | −1.21173 | − | 0.831808i | ||||
\(337\) | 14.1901i | 0.772982i | 0.922293 | + | 0.386491i | \(0.126313\pi\) | ||||
−0.922293 | + | 0.386491i | \(0.873687\pi\) | |||||||
\(338\) | 1.03478 | − | 1.11038i | 0.0562846 | − | 0.0603965i | ||||
\(339\) | − | 22.2042i | − | 1.20597i | ||||||
\(340\) | −14.4921 | − | 3.88316i | −0.785947 | − | 0.210594i | ||||
\(341\) | −7.25617 | + | 4.18935i | −0.392944 | + | 0.226866i | ||||
\(342\) | 0.935117 | − | 1.61967i | 0.0505654 | − | 0.0875818i | ||||
\(343\) | −18.0157 | − | 4.29355i | −0.972756 | − | 0.231830i | ||||
\(344\) | −0.215923 | − | 0.805837i | −0.0116418 | − | 0.0434478i | ||||
\(345\) | −28.3463 | + | 7.59538i | −1.52612 | + | 0.408921i | ||||
\(346\) | −0.0435539 | + | 0.0435539i | −0.00234147 | + | 0.00234147i | ||||
\(347\) | −6.92103 | + | 11.9876i | −0.371540 | + | 0.643527i | −0.989803 | − | 0.142445i | \(-0.954504\pi\) |
0.618262 | + | 0.785972i | \(0.287837\pi\) | |||||||
\(348\) | 18.4776 | + | 32.0041i | 0.990502 | + | 1.71560i | ||||
\(349\) | −14.7875 | − | 3.96231i | −0.791559 | − | 0.212098i | −0.159684 | − | 0.987168i | \(-0.551048\pi\) |
−0.631875 | + | 0.775071i | \(0.717714\pi\) | |||||||
\(350\) | 0.193851 | − | 0.548382i | 0.0103617 | − | 0.0293123i | ||||
\(351\) | 6.04939 | − | 3.63615i | 0.322892 | − | 0.194084i | ||||
\(352\) | 2.71798 | 0.144869 | ||||||||
\(353\) | 4.07649 | − | 15.2137i | 0.216970 | − | 0.809742i | −0.768494 | − | 0.639857i | \(-0.778994\pi\) |
0.985464 | − | 0.169885i | \(-0.0543398\pi\) | |||||||
\(354\) | −0.255970 | − | 0.443353i | −0.0136046 | − | 0.0235639i | ||||
\(355\) | −4.19892 | + | 7.27274i | −0.222856 | + | 0.385997i | ||||
\(356\) | −11.2875 | − | 11.2875i | −0.598235 | − | 0.598235i | ||||
\(357\) | −2.29160 | + | 29.3251i | −0.121284 | + | 1.55205i | ||||
\(358\) | −0.932655 | + | 0.249904i | −0.0492924 | + | 0.0132078i | ||||
\(359\) | −4.68787 | − | 4.68787i | −0.247416 | − | 0.247416i | 0.572493 | − | 0.819910i | \(-0.305976\pi\) |
−0.819910 | + | 0.572493i | \(0.805976\pi\) | |||||||
\(360\) | 2.67093 | + | 1.54206i | 0.140771 | + | 0.0812739i | ||||
\(361\) | −0.679814 | + | 0.392491i | −0.0357797 | + | 0.0206574i | ||||
\(362\) | 1.68920 | + | 0.452621i | 0.0887826 | + | 0.0237892i | ||||
\(363\) | 18.6257 | 0.977594 | ||||||||
\(364\) | −1.14330 | + | 18.9142i | −0.0599250 | + | 0.991375i | ||||
\(365\) | −1.74402 | −0.0912859 | ||||||||
\(366\) | 0.903414 | + | 0.242069i | 0.0472222 | + | 0.0126531i | ||||
\(367\) | −28.4547 | + | 16.4284i | −1.48533 | + | 0.857553i | −0.999860 | − | 0.0167033i | \(-0.994683\pi\) |
−0.485465 | + | 0.874256i | \(0.661350\pi\) | |||||||
\(368\) | −21.7051 | − | 12.5314i | −1.13145 | − | 0.653246i | ||||
\(369\) | −30.2396 | − | 30.2396i | −1.57421 | − | 1.57421i | ||||
\(370\) | 0.563277 | − | 0.150930i | 0.0292834 | − | 0.00784646i | ||||
\(371\) | −11.2839 | − | 0.881778i | −0.585833 | − | 0.0457796i | ||||
\(372\) | −15.6216 | − | 15.6216i | −0.809943 | − | 0.809943i | ||||
\(373\) | −3.93986 | + | 6.82405i | −0.203998 | + | 0.353336i | −0.949813 | − | 0.312818i | \(-0.898727\pi\) |
0.745815 | + | 0.666153i | \(0.232060\pi\) | |||||||
\(374\) | −0.488932 | − | 0.846855i | −0.0252821 | − | 0.0437899i | ||||
\(375\) | 8.17336 | − | 30.5034i | 0.422070 | − | 1.57519i | ||||
\(376\) | 3.08478 | 0.159086 | ||||||||
\(377\) | 12.5105 | − | 22.5781i | 0.644324 | − | 1.16283i | ||||
\(378\) | 0.201535 | − | 0.570120i | 0.0103658 | − | 0.0293238i | ||||
\(379\) | 10.8095 | + | 2.89639i | 0.555245 | + | 0.148778i | 0.525521 | − | 0.850781i | \(-0.323870\pi\) |
0.0297243 | + | 0.999558i | \(0.490537\pi\) | |||||||
\(380\) | 7.48374 | + | 12.9622i | 0.383908 | + | 0.664947i | ||||
\(381\) | −7.94417 | + | 13.7597i | −0.406992 | + | 0.704931i | ||||
\(382\) | −1.19949 | + | 1.19949i | −0.0613713 | + | 0.0613713i | ||||
\(383\) | −2.32841 | + | 0.623897i | −0.118976 | + | 0.0318796i | −0.317816 | − | 0.948152i | \(-0.602949\pi\) |
0.198840 | + | 0.980032i | \(0.436283\pi\) | |||||||
\(384\) | 2.47025 | + | 9.21909i | 0.126059 | + | 0.470460i | ||||
\(385\) | 8.25182 | − | 3.94153i | 0.420552 | − | 0.200879i | ||||
\(386\) | −1.14289 | + | 1.97954i | −0.0581715 | + | 0.100756i | ||||
\(387\) | −5.82637 | + | 3.36386i | −0.296171 | + | 0.170994i | ||||
\(388\) | 28.3408 | + | 7.59389i | 1.43879 | + | 0.385522i | ||||
\(389\) | 16.8210i | 0.852858i | 0.904521 | + | 0.426429i | \(0.140229\pi\) | ||||
−0.904521 | + | 0.426429i | \(0.859771\pi\) | |||||||
\(390\) | −0.0340163 | − | 1.93110i | −0.00172248 | − | 0.0977852i | ||||
\(391\) | 27.3638i | 1.38385i | ||||||||
\(392\) | 1.91790 | + | 2.63362i | 0.0968685 | + | 0.133018i | ||||
\(393\) | 7.48993 | + | 12.9729i | 0.377817 | + | 0.654398i | ||||
\(394\) | 2.20008 | + | 1.27022i | 0.110838 | + | 0.0639926i | ||||
\(395\) | −7.41208 | − | 7.41208i | −0.372942 | − | 0.372942i | ||||
\(396\) | −3.77764 | − | 14.0984i | −0.189834 | − | 0.708469i | ||||
\(397\) | 6.08873 | + | 22.7234i | 0.305585 | + | 1.14046i | 0.932441 | + | 0.361322i | \(0.117675\pi\) |
−0.626856 | + | 0.779135i | \(0.715659\pi\) | |||||||
\(398\) | −1.59181 | + | 1.59181i | −0.0797903 | + | 0.0797903i | ||||
\(399\) | 22.3029 | − | 19.0698i | 1.11654 | − | 0.954686i | ||||
\(400\) | 6.38957 | − | 3.68902i | 0.319479 | − | 0.184451i | ||||
\(401\) | 2.23318 | − | 8.33434i | 0.111520 | − | 0.416197i | −0.887483 | − | 0.460840i | \(-0.847548\pi\) |
0.999003 | + | 0.0446427i | \(0.0142149\pi\) | |||||||
\(402\) | 0.00598005 | 0.000298258 | ||||||||
\(403\) | −3.73071 | + | 14.9733i | −0.185840 | + | 0.745872i | ||||
\(404\) | − | 31.8009i | − | 1.58216i | ||||||
\(405\) | −2.82063 | + | 10.5267i | −0.140158 | + | 0.523078i | ||||
\(406\) | −0.404208 | − | 2.17419i | −0.0200605 | − | 0.107903i | ||||
\(407\) | −4.79644 | − | 2.76922i | −0.237751 | − | 0.137265i | ||||
\(408\) | 3.65885 | − | 3.65885i | 0.181140 | − | 0.181140i | ||||
\(409\) | 12.9780 | − | 3.47744i | 0.641720 | − | 0.171948i | 0.0767375 | − | 0.997051i | \(-0.475550\pi\) |
0.564982 | + | 0.825103i | \(0.308883\pi\) | |||||||
\(410\) | −2.26865 | + | 0.607883i | −0.112041 | + | 0.0300212i | ||||
\(411\) | −11.5320 | + | 11.5320i | −0.568833 | + | 0.568833i | ||||
\(412\) | −20.3249 | − | 11.7346i | −1.00133 | − | 0.578121i | ||||
\(413\) | −0.815960 | − | 4.38896i | −0.0401508 | − | 0.215967i | ||||
\(414\) | 0.725437 | − | 2.70737i | 0.0356533 | − | 0.133060i | ||||
\(415\) | − | 24.6608i | − | 1.21055i | ||||||
\(416\) | 3.47668 | − | 3.60136i | 0.170458 | − | 0.176571i | ||||
\(417\) | 54.4075 | 2.66435 | ||||||||
\(418\) | −0.252484 | + | 0.942285i | −0.0123494 | + | 0.0460886i | ||||
\(419\) | 15.0514 | − | 8.68991i | 0.735308 | − | 0.424530i | −0.0850532 | − | 0.996376i | \(-0.527106\pi\) |
0.820361 | + | 0.571846i | \(0.193773\pi\) | |||||||
\(420\) | 15.6699 | + | 18.3265i | 0.764612 | + | 0.894243i | ||||
\(421\) | −21.2490 | + | 21.2490i | −1.03561 | + | 1.03561i | −0.0362722 | + | 0.999342i | \(0.511548\pi\) |
−0.999342 | + | 0.0362722i | \(0.988452\pi\) | |||||||
\(422\) | −0.0913368 | − | 0.340874i | −0.00444621 | − | 0.0165935i | ||||
\(423\) | −6.43850 | − | 24.0288i | −0.313051 | − | 1.16832i | ||||
\(424\) | 1.40788 | + | 1.40788i | 0.0683727 | + | 0.0683727i | ||||
\(425\) | −6.97619 | − | 4.02771i | −0.338395 | − | 0.195372i | ||||
\(426\) | −0.721591 | − | 1.24983i | −0.0349612 | − | 0.0605546i | ||||
\(427\) | 6.72393 | + | 4.61575i | 0.325394 | + | 0.223372i | ||||
\(428\) | 15.8733i | 0.767265i | ||||||||
\(429\) | −12.7404 | + | 13.1973i | −0.615111 | + | 0.637170i | ||||
\(430\) | 0.369487i | 0.0178183i | ||||||||
\(431\) | 23.3087 | + | 6.24554i | 1.12274 | + | 0.300837i | 0.771991 | − | 0.635633i | \(-0.219261\pi\) |
0.350748 | + | 0.936470i | \(0.385927\pi\) | |||||||
\(432\) | 6.64286 | − | 3.83525i | 0.319605 | − | 0.184524i | ||||
\(433\) | 2.27124 | − | 3.93391i | 0.109149 | − | 0.189051i | −0.806277 | − | 0.591538i | \(-0.798521\pi\) |
0.915426 | + | 0.402487i | \(0.131854\pi\) | |||||||
\(434\) | 0.569811 | + | 1.19293i | 0.0273518 | + | 0.0572626i | ||||
\(435\) | −8.50129 | − | 31.7273i | −0.407606 | − | 1.52121i | ||||
\(436\) | 23.7601 | − | 6.36649i | 1.13790 | − | 0.304900i | ||||
\(437\) | 19.3029 | − | 19.3029i | 0.923381 | − | 0.923381i | ||||
\(438\) | 0.149856 | − | 0.259558i | 0.00716039 | − | 0.0124022i | ||||
\(439\) | −8.50036 | − | 14.7231i | −0.405700 | − | 0.702693i | 0.588703 | − | 0.808350i | \(-0.299639\pi\) |
−0.994403 | + | 0.105657i | \(0.966306\pi\) | |||||||
\(440\) | −1.55388 | − | 0.416362i | −0.0740785 | − | 0.0198493i | ||||
\(441\) | 16.5115 | − | 20.4362i | 0.786262 | − | 0.973154i | ||||
\(442\) | −1.74750 | − | 0.435405i | −0.0831203 | − | 0.0207101i | ||||
\(443\) | −36.6165 | −1.73970 | −0.869851 | − | 0.493315i | \(-0.835785\pi\) | ||||
−0.869851 | + | 0.493315i | \(0.835785\pi\) | |||||||
\(444\) | 3.77962 | − | 14.1057i | 0.179373 | − | 0.669429i | ||||
\(445\) | 7.09408 | + | 12.2873i | 0.336292 | + | 0.582474i | ||||
\(446\) | 0.256823 | − | 0.444830i | 0.0121609 | − | 0.0210633i | ||||
\(447\) | 28.4042 | + | 28.4042i | 1.34347 | + | 1.34347i | ||||
\(448\) | −1.58193 | + | 20.2436i | −0.0747392 | + | 0.956422i | ||||
\(449\) | −32.7480 | + | 8.77481i | −1.54547 | + | 0.414109i | −0.928030 | − | 0.372505i | \(-0.878499\pi\) |
−0.617445 | + | 0.786614i | \(0.711832\pi\) | |||||||
\(450\) | 0.583444 | + | 0.583444i | 0.0275038 | + | 0.0275038i | ||||
\(451\) | 19.3181 | + | 11.1533i | 0.909654 | + | 0.525189i | ||||
\(452\) | −14.6984 | + | 8.48610i | −0.691353 | + | 0.399153i | ||||
\(453\) | 11.0970 | + | 2.97342i | 0.521381 | + | 0.139704i | ||||
\(454\) | −0.478554 | −0.0224596 | ||||||||
\(455\) | 5.33266 | − | 15.9755i | 0.249999 | − | 0.748943i | ||||
\(456\) | −5.16202 | −0.241734 | ||||||||
\(457\) | −2.18565 | − | 0.585644i | −0.102241 | − | 0.0273953i | 0.207336 | − | 0.978270i | \(-0.433521\pi\) |
−0.309577 | + | 0.950874i | \(0.600187\pi\) | |||||||
\(458\) | 1.37279 | − | 0.792582i | 0.0641463 | − | 0.0370349i | ||||
\(459\) | −7.25273 | − | 4.18737i | −0.338528 | − | 0.195449i | ||||
\(460\) | 15.8614 | + | 15.8614i | 0.739540 | + | 0.739540i | ||||
\(461\) | 24.5455 | − | 6.57694i | 1.14320 | − | 0.306319i | 0.362961 | − | 0.931804i | \(-0.381766\pi\) |
0.780235 | + | 0.625486i | \(0.215099\pi\) | |||||||
\(462\) | −0.122435 | + | 1.56678i | −0.00569621 | + | 0.0728932i | ||||
\(463\) | −22.6265 | − | 22.6265i | −1.05154 | − | 1.05154i | −0.998597 | − | 0.0529442i | \(-0.983139\pi\) |
−0.0529442 | − | 0.998597i | \(-0.516861\pi\) | |||||||
\(464\) | 14.0261 | − | 24.2939i | 0.651144 | − | 1.12781i | ||||
\(465\) | 9.81804 | + | 17.0053i | 0.455301 | + | 0.788604i | ||||
\(466\) | 0.494066 | − | 1.84388i | 0.0228871 | − | 0.0854160i | ||||
\(467\) | 11.2941 | 0.522627 | 0.261314 | − | 0.965254i | \(-0.415844\pi\) | ||||
0.261314 | + | 0.965254i | \(0.415844\pi\) | |||||||
\(468\) | −23.5126 | − | 13.0283i | −1.08687 | − | 0.602235i | ||||
\(469\) | 0.0491652 | + | 0.0173797i | 0.00227024 | + | 0.000802520i | ||||
\(470\) | −1.31967 | − | 0.353604i | −0.0608718 | − | 0.0163105i | ||||
\(471\) | 9.00535 | + | 15.5977i | 0.414945 | + | 0.718705i | ||||
\(472\) | −0.392653 | + | 0.680095i | −0.0180733 | + | 0.0313039i | ||||
\(473\) | 2.48139 | − | 2.48139i | 0.114094 | − | 0.114094i | ||||
\(474\) | 1.74001 | − | 0.466235i | 0.0799215 | − | 0.0214149i | ||||
\(475\) | 2.07991 | + | 7.76231i | 0.0954326 | + | 0.356159i | ||||
\(476\) | 20.2879 | − | 9.69063i | 0.929895 | − | 0.444169i | ||||
\(477\) | 8.02814 | − | 13.9051i | 0.367583 | − | 0.636673i | ||||
\(478\) | −0.874396 | + | 0.504833i | −0.0399939 | + | 0.0230905i | ||||
\(479\) | −19.3716 | − | 5.19059i | −0.885109 | − | 0.237164i | −0.212499 | − | 0.977161i | \(-0.568160\pi\) |
−0.672610 | + | 0.739997i | \(0.734827\pi\) | |||||||
\(480\) | − | 6.36978i | − | 0.290739i | ||||||
\(481\) | −9.80456 | + | 2.81311i | −0.447049 | + | 0.128267i | ||||
\(482\) | 1.56814i | 0.0714269i | ||||||||
\(483\) | 24.8889 | − | 36.2566i | 1.13249 | − | 1.64973i | ||||
\(484\) | −7.11843 | − | 12.3295i | −0.323565 | − | 0.560431i | ||||
\(485\) | −22.5846 | − | 13.0392i | −1.02551 | − | 0.592081i | ||||
\(486\) | −1.80914 | − | 1.80914i | −0.0820643 | − | 0.0820643i | ||||
\(487\) | −8.13109 | − | 30.3456i | −0.368455 | − | 1.37509i | −0.862676 | − | 0.505756i | \(-0.831213\pi\) |
0.494221 | − | 0.869336i | \(-0.335453\pi\) | |||||||
\(488\) | −0.371329 | − | 1.38582i | −0.0168093 | − | 0.0627331i | ||||
\(489\) | −23.7691 | + | 23.7691i | −1.07488 | + | 1.07488i | ||||
\(490\) | −0.518587 | − | 1.34651i | −0.0234274 | − | 0.0608290i | ||||
\(491\) | −16.8341 | + | 9.71919i | −0.759714 | + | 0.438621i | −0.829193 | − | 0.558962i | \(-0.811200\pi\) |
0.0694792 | + | 0.997583i | \(0.477866\pi\) | |||||||
\(492\) | −15.2228 | + | 56.8122i | −0.686296 | + | 2.56129i | ||||
\(493\) | −30.6276 | −1.37940 | ||||||||
\(494\) | 0.925574 | + | 1.53986i | 0.0416436 | + | 0.0692814i | ||||
\(495\) | 12.9729i | 0.583091i | ||||||||
\(496\) | −4.34038 | + | 16.1985i | −0.194889 | + | 0.727336i | ||||
\(497\) | −2.30023 | − | 12.3727i | −0.103179 | − | 0.554991i | ||||
\(498\) | 3.67021 | + | 2.11900i | 0.164466 | + | 0.0949545i | ||||
\(499\) | 11.8051 | − | 11.8051i | 0.528471 | − | 0.528471i | −0.391645 | − | 0.920116i | \(-0.628094\pi\) |
0.920116 | + | 0.391645i | \(0.128094\pi\) | |||||||
\(500\) | −23.3158 | + | 6.24745i | −1.04271 | + | 0.279394i | ||||
\(501\) | 2.34011 | − | 0.627031i | 0.104548 | − | 0.0280137i | ||||
\(502\) | −0.287797 | + | 0.287797i | −0.0128450 | + | 0.0128450i | ||||
\(503\) | −25.9585 | − | 14.9871i | −1.15743 | − | 0.668243i | −0.206743 | − | 0.978395i | \(-0.566287\pi\) |
−0.950687 | + | 0.310153i | \(0.899620\pi\) | |||||||
\(504\) | −4.54391 | + | 0.844766i | −0.202402 | + | 0.0376289i | ||||
\(505\) | −7.31560 | + | 27.3022i | −0.325540 | + | 1.21493i | ||||
\(506\) | 1.46199i | 0.0649935i | ||||||||
\(507\) | 1.18981 | + | 33.7622i | 0.0528413 | + | 1.49943i | ||||
\(508\) | 12.1445 | 0.538827 | ||||||||
\(509\) | 3.62928 | − | 13.5446i | 0.160865 | − | 0.600356i | −0.837667 | − | 0.546182i | \(-0.816081\pi\) |
0.998532 | − | 0.0541739i | \(-0.0172525\pi\) | |||||||
\(510\) | −1.98466 | + | 1.14585i | −0.0878824 | + | 0.0507389i | ||||
\(511\) | 1.98639 | − | 1.69844i | 0.0878729 | − | 0.0751348i | ||||
\(512\) | 6.42580 | − | 6.42580i | 0.283983 | − | 0.283983i | ||||
\(513\) | 2.16235 | + | 8.07001i | 0.0954702 | + | 0.356300i | ||||
\(514\) | 0.406370 | + | 1.51659i | 0.0179242 | + | 0.0668940i | ||||
\(515\) | 14.7501 | + | 14.7501i | 0.649969 | + | 0.649969i | ||||
\(516\) | 8.01316 | + | 4.62640i | 0.352760 | + | 0.203666i | ||||
\(517\) | 6.48785 | + | 11.2373i | 0.285335 | + | 0.494215i | ||||
\(518\) | −0.494574 | + | 0.720464i | −0.0217303 | + | 0.0316554i | ||||
\(519\) | − | 1.37097i | − | 0.0601791i | ||||||
\(520\) | −2.53932 | + | 1.52633i | −0.111356 | + | 0.0669339i | ||||
\(521\) | 0.875247i | 0.0383452i | 0.999816 | + | 0.0191726i | \(0.00610321\pi\) | ||||
−0.999816 | + | 0.0191726i | \(0.993897\pi\) | |||||||
\(522\) | 3.03028 | + | 0.811961i | 0.132632 | + | 0.0355386i | ||||
\(523\) | 11.7198 | − | 6.76640i | 0.512469 | − | 0.295874i | −0.221379 | − | 0.975188i | \(-0.571056\pi\) |
0.733848 | + | 0.679314i | \(0.237722\pi\) | |||||||
\(524\) | 5.72506 | − | 9.91610i | 0.250100 | − | 0.433187i | ||||
\(525\) | 5.57991 | + | 11.6819i | 0.243527 | + | 0.509839i | ||||
\(526\) | 0.620553 | + | 2.31593i | 0.0270574 | + | 0.100980i | ||||
\(527\) | 17.6857 | − | 4.73887i | 0.770401 | − | 0.206428i | ||||
\(528\) | −14.0963 | + | 14.0963i | −0.613462 | + | 0.613462i | ||||
\(529\) | 8.95568 | − | 15.5117i | 0.389377 | − | 0.674421i | ||||
\(530\) | −0.440907 | − | 0.763674i | −0.0191518 | − | 0.0331719i | ||||
\(531\) | 6.11711 | + | 1.63908i | 0.265460 | + | 0.0711298i | ||||
\(532\) | −21.1473 | − | 7.47548i | −0.916853 | − | 0.324103i | ||||
\(533\) | 39.4888 | − | 11.3301i | 1.71045 | − | 0.490759i | ||||
\(534\) | −2.43826 | −0.105514 | ||||||||
\(535\) | 3.65155 | − | 13.6278i | 0.157870 | − | 0.589180i | ||||
\(536\) | −0.00458664 | − | 0.00794430i | −0.000198113 | − | 0.000343141i | ||||
\(537\) | 10.7457 | − | 18.6121i | 0.463711 | − | 0.803171i | ||||
\(538\) | −0.886440 | − | 0.886440i | −0.0382171 | − | 0.0382171i | ||||
\(539\) | −5.56010 | + | 12.5255i | −0.239491 | + | 0.539512i | ||||
\(540\) | −6.63121 | + | 1.77683i | −0.285362 | + | 0.0764625i | ||||
\(541\) | 8.68791 | + | 8.68791i | 0.373522 | + | 0.373522i | 0.868758 | − | 0.495236i | \(-0.164918\pi\) |
−0.495236 | + | 0.868758i | \(0.664918\pi\) | |||||||
\(542\) | −0.151539 | − | 0.0874914i | −0.00650918 | − | 0.00375808i | ||||
\(543\) | −33.7098 | + | 19.4624i | −1.44663 | + | 0.835211i | ||||
\(544\) | −5.73710 | − | 1.53725i | −0.245976 | − | 0.0659091i | ||||
\(545\) | −21.8634 | −0.936526 | ||||||||
\(546\) | 1.91939 | + | 2.16636i | 0.0821422 | + | 0.0927115i | ||||
\(547\) | 16.2786 | 0.696022 | 0.348011 | − | 0.937490i | \(-0.386857\pi\) | ||||
0.348011 | + | 0.937490i | \(0.386857\pi\) | |||||||
\(548\) | 12.0411 | + | 3.22641i | 0.514371 | + | 0.137825i | ||||
\(549\) | −10.0198 | + | 5.78491i | −0.427633 | + | 0.246894i | ||||
\(550\) | −0.372723 | − | 0.215192i | −0.0158930 | − | 0.00917582i | ||||
\(551\) | 21.6051 | + | 21.6051i | 0.920410 | + | 0.920410i | ||||
\(552\) | −7.47258 | + | 2.00227i | −0.318054 | + | 0.0852224i | ||||
\(553\) | 15.6606 | + | 1.22379i | 0.665956 | + | 0.0520408i | ||||
\(554\) | −0.388865 | − | 0.388865i | −0.0165213 | − | 0.0165213i | ||||
\(555\) | −6.48987 | + | 11.2408i | −0.275480 | + | 0.477145i | ||||
\(556\) | −20.7937 | − | 36.0157i | −0.881849 | − | 1.52741i | ||||
\(557\) | 2.13873 | − | 7.98185i | 0.0906210 | − | 0.338202i | −0.905698 | − | 0.423923i | \(-0.860653\pi\) |
0.996319 | + | 0.0857210i | \(0.0273194\pi\) | |||||||
\(558\) | −1.87545 | −0.0793940 | ||||||||
\(559\) | −0.113826 | − | 6.46190i | −0.00481433 | − | 0.273309i | ||||
\(560\) | 6.10024 | − | 17.2569i | 0.257782 | − | 0.729237i | ||||
\(561\) | 21.0237 | + | 5.63329i | 0.887623 | + | 0.237838i | ||||
\(562\) | −0.661470 | − | 1.14570i | −0.0279024 | − | 0.0483285i | ||||
\(563\) | −14.0767 | + | 24.3815i | −0.593261 | + | 1.02756i | 0.400528 | + | 0.916284i | \(0.368827\pi\) |
−0.993790 | + | 0.111274i | \(0.964507\pi\) | |||||||
\(564\) | −24.1924 | + | 24.1924i | −1.01869 | + | 1.01869i | ||||
\(565\) | 14.5712 | − | 3.90435i | 0.613016 | − | 0.164257i | ||||
\(566\) | −0.238078 | − | 0.888519i | −0.0100072 | − | 0.0373472i | ||||
\(567\) | −7.03904 | − | 14.7366i | −0.295612 | − | 0.618881i | ||||
\(568\) | −1.10691 | + | 1.91722i | −0.0464448 | + | 0.0804447i | ||||
\(569\) | −8.62645 | + | 4.98048i | −0.361640 | + | 0.208793i | −0.669800 | − | 0.742542i | \(-0.733620\pi\) |
0.308160 | + | 0.951335i | \(0.400287\pi\) | |||||||
\(570\) | 2.20831 | + | 0.591715i | 0.0924959 | + | 0.0247842i | ||||
\(571\) | 5.15214i | 0.215610i | 0.994172 | + | 0.107805i | \(0.0343823\pi\) | ||||
−0.994172 | + | 0.107805i | \(0.965618\pi\) | |||||||
\(572\) | 13.6052 | + | 3.38986i | 0.568864 | + | 0.141737i | ||||
\(573\) | − | 37.7572i | − | 1.57733i | ||||||
\(574\) | 1.99194 | − | 2.90174i | 0.0831421 | − | 0.121116i | ||||
\(575\) | 6.02177 | + | 10.4300i | 0.251125 | + | 0.434962i | ||||
\(576\) | −24.9461 | − | 14.4027i | −1.03942 | − | 0.600111i | ||||
\(577\) | 9.50342 | + | 9.50342i | 0.395633 | + | 0.395633i | 0.876689 | − | 0.481057i | \(-0.159747\pi\) |
−0.481057 | + | 0.876689i | \(0.659747\pi\) | |||||||
\(578\) | 0.0393588 | + | 0.146889i | 0.00163711 | + | 0.00610978i | ||||
\(579\) | −13.1679 | − | 49.1434i | −0.547240 | − | 2.04233i | ||||
\(580\) | −17.7532 | + | 17.7532i | −0.737161 | + | 0.737161i | ||||
\(581\) | 24.0164 | + | 28.0881i | 0.996368 | + | 1.16529i | ||||
\(582\) | 3.88120 | − | 2.24081i | 0.160881 | − | 0.0928847i | ||||
\(583\) | −2.16762 | + | 8.08967i | −0.0897737 | + | 0.335040i | ||||
\(584\) | −0.459752 | −0.0190247 | ||||||||
\(585\) | 17.1893 | + | 16.5942i | 0.710690 | + | 0.686085i | ||||
\(586\) | 1.42645i | 0.0589263i | ||||||||
\(587\) | −9.73498 | + | 36.3314i | −0.401806 | + | 1.49956i | 0.408066 | + | 0.912952i | \(0.366203\pi\) |
−0.809872 | + | 0.586607i | \(0.800463\pi\) | |||||||
\(588\) | −35.6953 | − | 5.61306i | −1.47205 | − | 0.231479i | ||||
\(589\) | −15.8186 | − | 9.13289i | −0.651795 | − | 0.376314i | ||||
\(590\) | 0.245935 | − | 0.245935i | 0.0101250 | − | 0.0101250i | ||||
\(591\) | −54.6184 | + | 14.6350i | −2.24670 | + | 0.602001i | ||||
\(592\) | −10.7075 | + | 2.86906i | −0.440074 | + | 0.117918i | ||||
\(593\) | −25.8396 | + | 25.8396i | −1.06110 | + | 1.06110i | −0.0630974 | + | 0.998007i | \(0.520098\pi\) |
−0.998007 | + | 0.0630974i | \(0.979902\pi\) | |||||||
\(594\) | −0.387498 | − | 0.223722i | −0.0158992 | − | 0.00917944i | ||||
\(595\) | −19.6471 | + | 3.65264i | −0.805454 | + | 0.149744i | ||||
\(596\) | 7.94687 | − | 29.6581i | 0.325517 | − | 1.21484i | ||||
\(597\) | − | 50.1065i | − | 2.05072i | ||||||
\(598\) | 1.93716 | + | 1.87009i | 0.0792162 | + | 0.0764738i | ||||
\(599\) | 5.32027 | 0.217381 | 0.108690 | − | 0.994076i | \(-0.465334\pi\) | ||||
0.108690 | + | 0.994076i | \(0.465334\pi\) | |||||||
\(600\) | 0.589432 | − | 2.19979i | 0.0240635 | − | 0.0898061i | ||||
\(601\) | 21.4564 | − | 12.3879i | 0.875225 | − | 0.505312i | 0.00614424 | − | 0.999981i | \(-0.498044\pi\) |
0.869081 | + | 0.494669i | \(0.164711\pi\) | |||||||
\(602\) | −0.359833 | − | 0.420838i | −0.0146657 | − | 0.0171521i | ||||
\(603\) | −0.0523087 | + | 0.0523087i | −0.00213017 | + | 0.00213017i | ||||
\(604\) | −2.27279 | − | 8.48216i | −0.0924785 | − | 0.345134i | ||||
\(605\) | 3.27510 | + | 12.2228i | 0.133152 | + | 0.496929i | ||||
\(606\) | −3.43473 | − | 3.43473i | −0.139526 | − | 0.139526i | ||||
\(607\) | −19.5367 | − | 11.2795i | −0.792971 | − | 0.457822i | 0.0480365 | − | 0.998846i | \(-0.484704\pi\) |
−0.841007 | + | 0.541024i | \(0.818037\pi\) | |||||||
\(608\) | 2.96263 | + | 5.13143i | 0.120151 | + | 0.208107i | ||||
\(609\) | 40.5810 | + | 27.8575i | 1.64443 | + | 1.12884i | ||||
\(610\) | 0.635418i | 0.0257273i | ||||||||
\(611\) | 23.1884 | + | 5.77758i | 0.938102 | + | 0.233736i | ||||
\(612\) | 31.8953i | 1.28929i | ||||||||
\(613\) | −22.2201 | − | 5.95385i | −0.897459 | − | 0.240474i | −0.219535 | − | 0.975605i | \(-0.570454\pi\) |
−0.677925 | + | 0.735131i | \(0.737121\pi\) | |||||||
\(614\) | −1.13995 | + | 0.658151i | −0.0460047 | + | 0.0265608i | ||||
\(615\) | 26.1385 | − | 45.2733i | 1.05401 | − | 1.82560i | ||||
\(616\) | 2.17532 | − | 1.03905i | 0.0876462 | − | 0.0418647i | ||||
\(617\) | 7.79350 | + | 29.0858i | 0.313755 | + | 1.17095i | 0.925143 | + | 0.379618i | \(0.123945\pi\) |
−0.611389 | + | 0.791330i | \(0.709389\pi\) | |||||||
\(618\) | −3.46265 | + | 0.927815i | −0.139288 | + | 0.0373222i | ||||
\(619\) | −7.55579 | + | 7.55579i | −0.303693 | + | 0.303693i | −0.842457 | − | 0.538764i | \(-0.818891\pi\) |
0.538764 | + | 0.842457i | \(0.318891\pi\) | |||||||
\(620\) | 7.50459 | − | 12.9983i | 0.301392 | − | 0.522026i | ||||
\(621\) | 6.26048 | + | 10.8435i | 0.251224 | + | 0.435133i | ||||
\(622\) | −1.47090 | − | 0.394127i | −0.0589778 | − | 0.0158031i | ||||
\(623\) | −20.0462 | − | 7.08625i | −0.803135 | − | 0.283905i | ||||
\(624\) | 0.646624 | + | 36.7088i | 0.0258857 | + | 1.46953i | ||||
\(625\) | 12.0400 | 0.481599 | ||||||||
\(626\) | −0.107997 | + | 0.403049i | −0.00431641 | + | 0.0161091i | ||||
\(627\) | −10.8566 | − | 18.8043i | −0.433573 | − | 0.750970i | ||||
\(628\) | 6.88340 | − | 11.9224i | 0.274678 | − | 0.475755i | ||||
\(629\) | 8.55805 | + | 8.55805i | 0.341232 | + | 0.341232i | ||||
\(630\) | 2.04071 | + | 0.159471i | 0.0813040 | + | 0.00635346i | ||||
\(631\) | 13.6759 | − | 3.66444i | 0.544428 | − | 0.145879i | 0.0238855 | − | 0.999715i | \(-0.492396\pi\) |
0.520543 | + | 0.853836i | \(0.325730\pi\) | |||||||
\(632\) | −1.95395 | − | 1.95395i | −0.0777240 | − | 0.0777240i | ||||
\(633\) | 6.80249 | + | 3.92742i | 0.270375 | + | 0.156101i | ||||
\(634\) | −3.35413 | + | 1.93651i | −0.133209 | + | 0.0769085i | ||||
\(635\) | −10.4265 | − | 2.79377i | −0.413763 | − | 0.110867i | ||||
\(636\) | −22.0826 | −0.875633 | ||||||||
\(637\) | 9.48429 | + | 23.3891i | 0.375781 | + | 0.926708i | ||||
\(638\) | −1.63637 | −0.0647844 | ||||||||
\(639\) | 17.2444 | + | 4.62063i | 0.682179 | + | 0.182789i | ||||
\(640\) | −5.61554 | + | 3.24213i | −0.221974 | + | 0.128157i | ||||
\(641\) | −32.0667 | − | 18.5137i | −1.26656 | − | 0.731248i | −0.292224 | − | 0.956350i | \(-0.594395\pi\) |
−0.974335 | + | 0.225102i | \(0.927729\pi\) | |||||||
\(642\) | 1.71443 | + | 1.71443i | 0.0676632 | + | 0.0676632i | ||||
\(643\) | 33.2886 | − | 8.91965i | 1.31277 | − | 0.351757i | 0.466507 | − | 0.884517i | \(-0.345512\pi\) |
0.846266 | + | 0.532761i | \(0.178845\pi\) | |||||||
\(644\) | −33.5127 | − | 2.61883i | −1.32058 | − | 0.103196i | ||||
\(645\) | −5.81530 | − | 5.81530i | −0.228977 | − | 0.228977i | ||||
\(646\) | 1.06588 | − | 1.84617i | 0.0419366 | − | 0.0726364i | ||||
\(647\) | −3.03363 | − | 5.25440i | −0.119264 | − | 0.206572i | 0.800212 | − | 0.599717i | \(-0.204720\pi\) |
−0.919476 | + | 0.393145i | \(0.871387\pi\) | |||||||
\(648\) | −0.743567 | + | 2.77503i | −0.0292101 | + | 0.109013i | ||||
\(649\) | −3.30328 | −0.129665 | ||||||||
\(650\) | −0.761896 | + | 0.218602i | −0.0298840 | + | 0.00857428i | ||||
\(651\) | −27.7435 | − | 9.80721i | −1.08735 | − | 0.384375i | ||||
\(652\) | 24.8184 | + | 6.65007i | 0.971964 | + | 0.260437i | ||||
\(653\) | −15.1009 | − | 26.1555i | −0.590943 | − | 1.02354i | −0.994106 | − | 0.108416i | \(-0.965422\pi\) |
0.403162 | − | 0.915129i | \(-0.367911\pi\) | |||||||
\(654\) | 1.87863 | − | 3.25389i | 0.0734603 | − | 0.127237i | ||||
\(655\) | −7.19630 | + | 7.19630i | −0.281183 | + | 0.281183i | ||||
\(656\) | 43.1253 | − | 11.5554i | 1.68376 | − | 0.451162i | ||||
\(657\) | 0.959586 | + | 3.58123i | 0.0374370 | + | 0.139717i | ||||
\(658\) | 1.84744 | − | 0.882439i | 0.0720206 | − | 0.0344010i | ||||
\(659\) | 4.37179 | − | 7.57216i | 0.170301 | − | 0.294969i | −0.768224 | − | 0.640181i | \(-0.778859\pi\) |
0.938525 | + | 0.345211i | \(0.112193\pi\) | |||||||
\(660\) | 15.4517 | − | 8.92102i | 0.601455 | − | 0.347250i | ||||
\(661\) | −17.3494 | − | 4.64874i | −0.674812 | − | 0.180815i | −0.0948903 | − | 0.995488i | \(-0.530250\pi\) |
−0.579921 | + | 0.814673i | \(0.696917\pi\) | |||||||
\(662\) | 0.110698i | 0.00430239i | ||||||||
\(663\) | 34.3564 | − | 20.6509i | 1.33429 | − | 0.802015i | ||||
\(664\) | − | 6.50100i | − | 0.252288i | ||||||
\(665\) | 16.4360 | + | 11.2828i | 0.637361 | + | 0.437527i | ||||
\(666\) | −0.619849 | − | 1.07361i | −0.0240187 | − | 0.0416015i | ||||
\(667\) | 39.6561 | + | 22.8955i | 1.53549 | + | 0.886516i | ||||
\(668\) | −1.30942 | − | 1.30942i | −0.0506631 | − | 0.0506631i | ||||
\(669\) | 2.95901 | + | 11.0432i | 0.114402 | + | 0.426954i | ||||
\(670\) | 0.00105152 | + | 0.00392433i | 4.06238e−5 | + | 0.000151610i | ||||
\(671\) | 4.26731 | − | 4.26731i | 0.164738 | − | 0.164738i | ||||
\(672\) | 6.20334 | + | 7.25504i | 0.239299 | + | 0.279869i | ||||
\(673\) | 22.0524 | − | 12.7319i | 0.850057 | − | 0.490780i | −0.0106133 | − | 0.999944i | \(-0.503378\pi\) |
0.860670 | + | 0.509163i | \(0.170045\pi\) | |||||||
\(674\) | 0.428796 | − | 1.60029i | 0.0165166 | − | 0.0616408i | ||||
\(675\) | −3.68594 | −0.141872 | ||||||||
\(676\) | 21.8946 | − | 13.6910i | 0.842100 | − | 0.526577i | ||||
\(677\) | 21.8547i | 0.839946i | 0.907537 | + | 0.419973i | \(0.137961\pi\) | ||||
−0.907537 | + | 0.419973i | \(0.862039\pi\) | |||||||
\(678\) | −0.670968 | + | 2.50409i | −0.0257684 | + | 0.0961689i | ||||
\(679\) | 38.4219 | − | 7.14309i | 1.47450 | − | 0.274127i | ||||
\(680\) | 3.04444 | + | 1.75771i | 0.116749 | + | 0.0674050i | ||||
\(681\) | 7.53188 | − | 7.53188i | 0.288622 | − | 0.288622i | ||||
\(682\) | 0.944911 | − | 0.253188i | 0.0361825 | − | 0.00969507i | ||||
\(683\) | 30.9579 | − | 8.29515i | 1.18457 | − | 0.317405i | 0.387833 | − | 0.921729i | \(-0.373224\pi\) |
0.796738 | + | 0.604324i | \(0.206557\pi\) | |||||||
\(684\) | 22.4994 | − | 22.4994i | 0.860286 | − | 0.860286i | ||||
\(685\) | −9.59550 | − | 5.53997i | −0.366625 | − | 0.211671i | ||||
\(686\) | 1.90198 | + | 1.02860i | 0.0726180 | + | 0.0392723i | ||||
\(687\) | −9.13183 | + | 34.0804i | −0.348401 | + | 1.30025i | ||||
\(688\) | − | 7.02368i | − | 0.267775i | ||||||
\(689\) | 7.94621 | + | 13.2199i | 0.302726 | + | 0.503639i | ||||
\(690\) | 3.42628 | 0.130436 | ||||||||
\(691\) | 7.27863 | − | 27.1642i | 0.276892 | − | 1.03337i | −0.677671 | − | 0.735365i | \(-0.737011\pi\) |
0.954563 | − | 0.298010i | \(-0.0963227\pi\) | |||||||
\(692\) | −0.907533 | + | 0.523964i | −0.0344992 | + | 0.0199181i | ||||
\(693\) | −12.6340 | − | 14.7759i | −0.479925 | − | 0.561290i | ||||
\(694\) | 1.14276 | − | 1.14276i | 0.0433786 | − | 0.0433786i | ||||
\(695\) | 9.56691 | + | 35.7042i | 0.362894 | + | 1.35434i | ||||
\(696\) | −2.24109 | − | 8.36385i | −0.0849482 | − | 0.317031i | ||||
\(697\) | −34.4683 | − | 34.4683i | −1.30558 | − | 1.30558i | ||||
\(698\) | 1.54794 | + | 0.893701i | 0.0585902 | + | 0.0338271i | ||||
\(699\) | 21.2445 | + | 36.7965i | 0.803540 | + | 1.39177i | ||||
\(700\) | 5.60040 | − | 8.15831i | 0.211675 | − | 0.308355i | ||||
\(701\) | − | 41.8411i | − | 1.58032i | −0.612904 | − | 0.790158i | \(-0.709999\pi\) | ||
0.612904 | − | 0.790158i | \(-0.290001\pi\) | |||||||
\(702\) | −0.792098 | + | 0.227268i | −0.0298958 | + | 0.00857766i | ||||
\(703\) | − | 12.0740i | − | 0.455378i | ||||||
\(704\) | 14.5131 | + | 3.88876i | 0.546981 | + | 0.146563i | ||||
\(705\) | 26.3354 | − | 15.2047i | 0.991847 | − | 0.572643i | ||||
\(706\) | −0.919455 | + | 1.59254i | −0.0346041 | + | 0.0599361i | ||||
\(707\) | −18.2565 | − | 38.2210i | −0.686606 | − | 1.43745i | ||||
\(708\) | −2.25426 | − | 8.41303i | −0.0847204 | − | 0.316181i | ||||
\(709\) | −36.1012 | + | 9.67328i | −1.35581 | + | 0.363288i | −0.862275 | − | 0.506440i | \(-0.830961\pi\) |
−0.493532 | + | 0.869727i | \(0.664295\pi\) | |||||||
\(710\) | 0.693302 | − | 0.693302i | 0.0260192 | − | 0.0260192i | ||||
\(711\) | −11.1420 | + | 19.2985i | −0.417857 | + | 0.723750i | ||||
\(712\) | 1.87012 | + | 3.23914i | 0.0700857 | + | 0.121392i | ||||
\(713\) | −26.4417 | − | 7.08503i | −0.990249 | − | 0.265336i | ||||
\(714\) | 1.14458 | − | 3.23790i | 0.0428349 | − | 0.121175i | ||||
\(715\) | −10.9008 | − | 6.04011i | −0.407665 | − | 0.225887i | ||||
\(716\) | −16.4273 | −0.613918 | ||||||||
\(717\) | 5.81649 | − | 21.7075i | 0.217221 | − | 0.810680i | ||||
\(718\) | 0.387018 | + | 0.670334i | 0.0144434 | + | 0.0250166i | ||||
\(719\) | −14.7469 | + | 25.5425i | −0.549968 | + | 0.952573i | 0.448308 | + | 0.893879i | \(0.352027\pi\) |
−0.998276 | + | 0.0586936i | \(0.981307\pi\) | |||||||
\(720\) | 18.3602 | + | 18.3602i | 0.684246 | + | 0.684246i | ||||
\(721\) | −31.1648 | − | 2.43536i | −1.16064 | − | 0.0906975i | ||||
\(722\) | 0.0885265 | − | 0.0237206i | 0.00329461 | − | 0.000882789i | ||||
\(723\) | −24.6807 | − | 24.6807i | −0.917886 | − | 0.917886i | ||||
\(724\) | 25.7667 | + | 14.8764i | 0.957612 | + | 0.552878i | ||||
\(725\) | −11.6740 | + | 6.74000i | −0.433562 | + | 0.250317i | ||||
\(726\) | −2.10051 | − | 0.562831i | −0.0779574 | − | 0.0208886i | ||||
\(727\) | 3.04387 | 0.112891 | 0.0564455 | − | 0.998406i | \(-0.482023\pi\) | ||||
0.0564455 | + | 0.998406i | \(0.482023\pi\) | |||||||
\(728\) | 1.40578 | − | 4.21142i | 0.0521017 | − | 0.156086i | ||||
\(729\) | 38.4293 | 1.42331 | ||||||||
\(730\) | 0.196682 | + | 0.0527007i | 0.00727952 | + | 0.00195054i | ||||
\(731\) | −6.64113 | + | 3.83426i | −0.245631 | + | 0.141815i | ||||
\(732\) | 13.7805 | + | 7.95615i | 0.509340 | + | 0.294068i | ||||
\(733\) | −0.928339 | − | 0.928339i | −0.0342890 | − | 0.0342890i | 0.689754 | − | 0.724043i | \(-0.257718\pi\) |
−0.724043 | + | 0.689754i | \(0.757718\pi\) | |||||||
\(734\) | 3.70542 | − | 0.992865i | 0.136770 | − | 0.0366473i | ||||
\(735\) | 29.3544 | + | 13.0305i | 1.08275 | + | 0.480637i | ||||
\(736\) | 6.27914 | + | 6.27914i | 0.231452 | + | 0.231452i | ||||
\(737\) | 0.0192931 | − | 0.0334166i | 0.000710669 | − | 0.00123091i | ||||
\(738\) | 2.49650 | + | 4.32406i | 0.0918974 | + | 0.159171i | ||||
\(739\) | −7.76649 | + | 28.9849i | −0.285695 | + | 1.06623i | 0.662635 | + | 0.748942i | \(0.269438\pi\) |
−0.948330 | + | 0.317285i | \(0.897229\pi\) | |||||||
\(740\) | 9.92129 | 0.364714 | ||||||||
\(741\) | −38.8030 | − | 9.66809i | −1.42546 | − | 0.355166i | ||||
\(742\) | 1.24590 | + | 0.440421i | 0.0457385 | + | 0.0161684i | ||||
\(743\) | −39.4397 | − | 10.5678i | −1.44690 | − | 0.387697i | −0.551958 | − | 0.833872i | \(-0.686119\pi\) |
−0.894946 | + | 0.446175i | \(0.852786\pi\) | |||||||
\(744\) | 2.58820 | + | 4.48290i | 0.0948881 | + | 0.164351i | ||||
\(745\) | −13.6453 | + | 23.6344i | −0.499926 | + | 0.865897i | ||||
\(746\) | 0.650528 | − | 0.650528i | 0.0238175 | − | 0.0238175i | ||||
\(747\) | −50.6393 | + | 13.5688i | −1.85280 | + | 0.496455i | ||||
\(748\) | −4.30591 | − | 16.0699i | −0.157440 | − | 0.587573i | ||||
\(749\) | 9.11265 | + | 19.0779i | 0.332969 | + | 0.697090i | ||||
\(750\) | −1.84350 | + | 3.19304i | −0.0673153 | + | 0.116593i | ||||
\(751\) | −31.0690 | + | 17.9377i | −1.13372 | + | 0.654556i | −0.944869 | − | 0.327448i | \(-0.893811\pi\) |
−0.188856 | + | 0.982005i | \(0.560478\pi\) | |||||||
\(752\) | 25.0859 | + | 6.72175i | 0.914789 | + | 0.245117i | ||||
\(753\) | − | 9.05917i | − | 0.330135i | ||||||
\(754\) | −2.09314 | + | 2.16820i | −0.0762277 | + | 0.0789614i | ||||
\(755\) | 7.80507i | 0.284056i | ||||||||
\(756\) | 5.82241 | − | 8.48171i | 0.211759 | − | 0.308477i | ||||
\(757\) | −0.439138 | − | 0.760610i | −0.0159607 | − | 0.0276448i | 0.857935 | − | 0.513759i | \(-0.171747\pi\) |
−0.873895 | + | 0.486114i | \(0.838414\pi\) | |||||||
\(758\) | −1.13152 | − | 0.653282i | −0.0410986 | − | 0.0237283i | ||||
\(759\) | −23.0101 | − | 23.0101i | −0.835213 | − | 0.835213i | ||||
\(760\) | −0.907679 | − | 3.38750i | −0.0329250 | − | 0.122878i | ||||
\(761\) | 9.46773 | + | 35.3341i | 0.343205 | + | 1.28086i | 0.894695 | + | 0.446677i | \(0.147393\pi\) |
−0.551490 | + | 0.834181i | \(0.685941\pi\) | |||||||
\(762\) | 1.31170 | − | 1.31170i | 0.0475178 | − | 0.0475178i | ||||
\(763\) | 24.9019 | − | 21.2921i | 0.901511 | − | 0.770827i | ||||
\(764\) | −24.9938 | + | 14.4302i | −0.904245 | + | 0.522066i | ||||
\(765\) | 7.33730 | − | 27.3832i | 0.265281 | − | 0.990041i | ||||
\(766\) | 0.281440 | 0.0101689 | ||||||||
\(767\) | −4.22535 | + | 4.37687i | −0.152568 | + | 0.158040i | ||||
\(768\) | 38.7743i | 1.39915i | ||||||||
\(769\) | −7.85943 | + | 29.3318i | −0.283418 | + | 1.05773i | 0.666569 | + | 0.745443i | \(0.267762\pi\) |
−0.949987 | + | 0.312288i | \(0.898904\pi\) | |||||||
\(770\) | −1.04971 | + | 0.195153i | −0.0378288 | + | 0.00703282i | ||||
\(771\) | −30.2652 | − | 17.4736i | −1.08997 | − | 0.629297i | ||||
\(772\) | −27.4985 | + | 27.4985i | −0.989692 | + | 0.989692i | ||||
\(773\) | 19.1599 | − | 5.13389i | 0.689134 | − | 0.184653i | 0.102776 | − | 0.994705i | \(-0.467228\pi\) |
0.586359 | + | 0.810052i | \(0.300561\pi\) | |||||||
\(774\) | 0.758719 | − | 0.203298i | 0.0272716 | − | 0.00730740i | ||||
\(775\) | 5.69824 | − | 5.69824i | 0.204687 | − | 0.204687i | ||||
\(776\) | −5.95369 | − | 3.43737i | −0.213725 | − | 0.123394i | ||||
\(777\) | −3.55525 | − | 19.1233i | −0.127544 | − | 0.686044i | ||||
\(778\) | 0.508297 | − | 1.89699i | 0.0182233 | − | 0.0680104i | ||||
\(779\) | 48.6290i | 1.74231i | ||||||||
\(780\) | 7.94437 | − | 31.8848i | 0.284454 | − | 1.14166i | ||||
\(781\) | −9.31209 | −0.333213 | ||||||||
\(782\) | 0.826882 | − | 3.08596i | 0.0295692 | − | 0.110354i | ||||
\(783\) | −12.1368 | + | 7.00718i | −0.433733 | + | 0.250416i | ||||
\(784\) | 9.85795 | + | 25.5961i | 0.352070 | + | 0.914145i | ||||
\(785\) | −8.65231 | + | 8.65231i | −0.308814 | + | 0.308814i | ||||
\(786\) | −0.452662 | − | 1.68936i | −0.0161459 | − | 0.0602574i | ||||
\(787\) | −2.27486 | − | 8.48989i | −0.0810900 | − | 0.302632i | 0.913455 | − | 0.406940i | \(-0.133404\pi\) |
−0.994545 | + | 0.104308i | \(0.966737\pi\) | |||||||
\(788\) | 30.5620 | + | 30.5620i | 1.08873 | + | 1.08873i | ||||
\(789\) | −46.2169 | − | 26.6833i | −1.64536 | − | 0.949951i | ||||
\(790\) | 0.611921 | + | 1.05988i | 0.0217712 | + | 0.0377087i | ||||
\(791\) | −12.7940 | + | 18.6374i | −0.454901 | + | 0.662671i | ||||
\(792\) | 3.41989i | 0.121521i | ||||||||
\(793\) | −0.195750 | − | 11.1127i | −0.00695128 | − | 0.394624i | ||||
\(794\) | − | 2.74663i | − | 0.0974743i | ||||||
\(795\) | 18.9587 | + | 5.07997i | 0.672396 | + | 0.180168i | ||||
\(796\) | −33.1686 | + | 19.1499i | −1.17563 | + | 0.678750i | ||||
\(797\) | −12.3887 | + | 21.4579i | −0.438832 | + | 0.760079i | −0.997600 | − | 0.0692450i | \(-0.977941\pi\) |
0.558768 | + | 0.829324i | \(0.311274\pi\) | |||||||
\(798\) | −3.09147 | + | 1.47666i | −0.109437 | + | 0.0522731i | ||||
\(799\) | −7.33886 | − | 27.3890i | −0.259630 | − | 0.968953i | ||||
\(800\) | −2.52505 | + | 0.676585i | −0.0892739 | + | 0.0239209i | ||||
\(801\) | 21.3279 | − | 21.3279i | 0.753585 | − | 0.753585i | ||||
\(802\) | −0.503695 | + | 0.872425i | −0.0177861 | + | 0.0308064i | ||||
\(803\) | −0.966941 | − | 1.67479i | −0.0341226 | − | 0.0591021i | ||||
\(804\) | 0.0982740 | + | 0.0263324i | 0.00346586 | + | 0.000928674i | ||||
\(805\) | 28.1693 | + | 9.95773i | 0.992838 | + | 0.350964i | ||||
\(806\) | 0.873195 | − | 1.57588i | 0.0307570 | − | 0.0555080i | ||||
\(807\) | 27.9030 | 0.982234 | ||||||||
\(808\) | −1.92852 | + | 7.19733i | −0.0678450 | + | 0.253201i | ||||
\(809\) | −3.75373 | − | 6.50166i | −0.131974 | − | 0.228586i | 0.792463 | − | 0.609920i | \(-0.208798\pi\) |
−0.924438 | + | 0.381334i | \(0.875465\pi\) | |||||||
\(810\) | 0.636195 | − | 1.10192i | 0.0223536 | − | 0.0387176i | ||||
\(811\) | −32.4572 | − | 32.4572i | −1.13973 | − | 1.13973i | −0.988499 | − | 0.151229i | \(-0.951677\pi\) |
−0.151229 | − | 0.988499i | \(-0.548323\pi\) | |||||||
\(812\) | 2.93118 | − | 37.5098i | 0.102864 | − | 1.31633i | ||||
\(813\) | 3.76207 | − | 1.00804i | 0.131941 | − | 0.0353536i | ||||
\(814\) | 0.457239 | + | 0.457239i | 0.0160262 | + | 0.0160262i | ||||
\(815\) | −19.7777 | − | 11.4186i | −0.692781 | − | 0.399977i | ||||
\(816\) | 37.7270 | − | 21.7817i | 1.32071 | − | 0.762511i | ||||
\(817\) | 7.38949 | + | 1.98001i | 0.258526 | + | 0.0692717i | ||||
\(818\) | −1.56868 | −0.0548475 | ||||||||
\(819\) | −35.7388 | − | 2.16028i | −1.24882 | − | 0.0754863i | ||||
\(820\) | −39.9589 | −1.39543 | ||||||||
\(821\) | 30.4367 | + | 8.15549i | 1.06225 | + | 0.284629i | 0.747305 | − | 0.664482i | \(-0.231348\pi\) |
0.314944 | + | 0.949110i | \(0.398014\pi\) | |||||||
\(822\) | 1.64900 | − | 0.952052i | 0.0575156 | − | 0.0332066i | ||||
\(823\) | 27.4139 | + | 15.8274i | 0.955590 | + | 0.551710i | 0.894813 | − | 0.446442i | \(-0.147309\pi\) |
0.0607767 | + | 0.998151i | \(0.480642\pi\) | |||||||
\(824\) | 3.88839 | + | 3.88839i | 0.135459 | + | 0.135459i | ||||
\(825\) | 9.25310 | − | 2.47936i | 0.322152 | − | 0.0863203i | ||||
\(826\) | −0.0406057 | + | 0.519623i | −0.00141285 | + | 0.0180800i | ||||
\(827\) | 25.1824 | + | 25.1824i | 0.875678 | + | 0.875678i | 0.993084 | − | 0.117406i | \(-0.0374580\pi\) |
−0.117406 | + | 0.993084i | \(0.537458\pi\) | |||||||
\(828\) | 23.8431 | − | 41.2975i | 0.828606 | − | 1.43519i | ||||
\(829\) | −1.05432 | − | 1.82614i | −0.0366182 | − | 0.0634246i | 0.847135 | − | 0.531377i | \(-0.178325\pi\) |
−0.883754 | + | 0.467952i | \(0.844992\pi\) | |||||||
\(830\) | −0.745200 | + | 2.78112i | −0.0258663 | + | 0.0965342i | ||||
\(831\) | 12.2405 | 0.424620 | ||||||||
\(832\) | 23.7169 | − | 14.2557i | 0.822234 | − | 0.494227i | ||||
\(833\) | 18.8205 | − | 23.2940i | 0.652090 | − | 0.807091i | ||||
\(834\) | −6.13582 | − | 1.64409i | −0.212466 | − | 0.0569302i | ||||
\(835\) | 0.822960 | + | 1.42541i | 0.0284797 | + | 0.0493283i | ||||
\(836\) | −8.29847 | + | 14.3734i | −0.287009 | + | 0.497114i | ||||
\(837\) | 5.92412 | − | 5.92412i | 0.204768 | − | 0.204768i | ||||
\(838\) | −1.96001 | + | 0.525184i | −0.0677076 | + | 0.0181422i | ||||
\(839\) | 6.14897 | + | 22.9483i | 0.212286 | + | 0.792262i | 0.987104 | + | 0.160078i | \(0.0511746\pi\) |
−0.774818 | + | 0.632184i | \(0.782159\pi\) | |||||||
\(840\) | −2.43510 | − | 5.09802i | −0.0840188 | − | 0.175898i | ||||
\(841\) | −11.1262 | + | 19.2712i | −0.383663 | + | 0.664525i | ||||
\(842\) | 3.03847 | − | 1.75426i | 0.104713 | − | 0.0604558i | ||||
\(843\) | 28.4428 | + | 7.62121i | 0.979621 | + | 0.262489i | ||||
\(844\) | − | 6.00398i | − | 0.206666i | ||||||
\(845\) | −21.9468 | + | 6.71748i | −0.754992 | + | 0.231088i | ||||
\(846\) | 2.90442i | 0.0998559i | ||||||||
\(847\) | −15.6337 | − | 10.7320i | −0.537181 | − | 0.368756i | ||||
\(848\) | 8.38131 | + | 14.5169i | 0.287815 | + | 0.498511i | ||||
\(849\) | 17.7313 | + | 10.2372i | 0.608537 | + | 0.351339i | ||||
\(850\) | 0.665032 | + | 0.665032i | 0.0228104 | + | 0.0228104i | ||||
\(851\) | −4.68331 | − | 17.4783i | −0.160542 | − | 0.599150i | ||||
\(852\) | −6.35488 | − | 23.7167i | −0.217715 | − | 0.812522i | ||||
\(853\) | 4.73993 | − | 4.73993i | 0.162292 | − | 0.162292i | −0.621289 | − | 0.783581i | \(-0.713391\pi\) |
0.783581 | + | 0.621289i | \(0.213391\pi\) | |||||||
\(854\) | −0.618814 | − | 0.723726i | −0.0211754 | − | 0.0247654i | ||||
\(855\) | −24.4924 | + | 14.1407i | −0.837621 | + | 0.483601i | ||||
\(856\) | 0.962612 | − | 3.59252i | 0.0329014 | − | 0.122790i | ||||
\(857\) | 11.3220 | 0.386751 | 0.193376 | − | 0.981125i | \(-0.438056\pi\) | ||||
0.193376 | + | 0.981125i | \(0.438056\pi\) | |||||||
\(858\) | 1.83559 | − | 1.10334i | 0.0626661 | − | 0.0376672i | ||||
\(859\) | − | 48.4452i | − | 1.65293i | −0.562988 | − | 0.826465i | \(-0.690348\pi\) | ||
0.562988 | − | 0.826465i | \(-0.309652\pi\) | |||||||
\(860\) | −1.62699 | + | 6.07202i | −0.0554800 | + | 0.207054i | ||||
\(861\) | 14.3191 | + | 77.0208i | 0.487993 | + | 2.62486i | ||||
\(862\) | −2.43991 | − | 1.40868i | −0.0831038 | − | 0.0479800i | ||||
\(863\) | −13.2582 | + | 13.2582i | −0.451313 | + | 0.451313i | −0.895790 | − | 0.444477i | \(-0.853390\pi\) |
0.444477 | + | 0.895790i | \(0.353390\pi\) | |||||||
\(864\) | −2.62514 | + | 0.703405i | −0.0893091 | + | 0.0239303i | ||||
\(865\) | 0.899682 | − | 0.241069i | 0.0305901 | − | 0.00819660i | ||||
\(866\) | −0.375015 | + | 0.375015i | −0.0127435 | + | 0.0127435i | ||||
\(867\) | −2.93132 | − | 1.69240i | −0.0995529 | − | 0.0574769i | ||||
\(868\) | 4.11113 | + | 22.1133i | 0.139541 | + | 0.750575i | ||||
\(869\) | 3.00837 | − | 11.2274i | 0.102052 | − | 0.380863i | ||||
\(870\) | 3.83494i | 0.130017i | ||||||||
\(871\) | −0.0195988 | − | 0.0683079i | −0.000664080 | − | 0.00231452i | ||||
\(872\) | −5.76357 | −0.195179 | ||||||||
\(873\) | −14.3488 | + | 53.5505i | −0.485634 | + | 1.81241i | ||||
\(874\) | −2.76018 | + | 1.59359i | −0.0933645 | + | 0.0539040i | ||||
\(875\) | −24.4363 | + | 20.8940i | −0.826098 | + | 0.706346i | ||||
\(876\) | 3.60561 | − | 3.60561i | 0.121822 | − | 0.121822i | ||||
\(877\) | 1.83431 | + | 6.84575i | 0.0619403 | + | 0.231164i | 0.989956 | − | 0.141377i | \(-0.0451530\pi\) |
−0.928015 | + | 0.372542i | \(0.878486\pi\) | |||||||
\(878\) | 0.513728 | + | 1.91726i | 0.0173375 | + | 0.0647044i | ||||
\(879\) | −22.4507 | − | 22.4507i | −0.757244 | − | 0.757244i | ||||
\(880\) | −11.7291 | − | 6.77183i | −0.395389 | − | 0.228278i | ||||
\(881\) | 12.1808 | + | 21.0977i | 0.410380 | + | 0.710800i | 0.994931 | − | 0.100557i | \(-0.0320626\pi\) |
−0.584551 | + | 0.811357i | \(0.698729\pi\) | |||||||
\(882\) | −2.47963 | + | 1.80576i | −0.0834935 | + | 0.0608030i | ||||
\(883\) | − | 4.51673i | − | 0.152000i | −0.997108 | − | 0.0760000i | \(-0.975785\pi\) | ||
0.997108 | − | 0.0760000i | \(-0.0242149\pi\) | |||||||
\(884\) | −26.8006 | − | 14.8502i | −0.901401 | − | 0.499467i | ||||
\(885\) | 7.74145i | 0.260226i | ||||||||
\(886\) | 4.12943 | + | 1.10648i | 0.138731 | + | 0.0371729i | ||||
\(887\) | −38.3035 | + | 22.1145i | −1.28611 | + | 0.742533i | −0.977957 | − | 0.208805i | \(-0.933042\pi\) |
−0.308148 | + | 0.951338i | \(0.599709\pi\) | |||||||
\(888\) | −1.71084 | + | 2.96326i | −0.0574121 | + | 0.0994406i | ||||
\(889\) | 14.5963 | − | 6.97202i | 0.489545 | − | 0.233834i | ||||
\(890\) | −0.428738 | − | 1.60007i | −0.0143713 | − | 0.0536346i | ||||
\(891\) | −11.6728 | + | 3.12771i | −0.391052 | + | 0.104782i | ||||
\(892\) | 6.17928 | − | 6.17928i | 0.206898 | − | 0.206898i | ||||
\(893\) | −14.1437 | + | 24.4976i | −0.473300 | + | 0.819780i | ||||
\(894\) | −2.34497 | − | 4.06161i | −0.0784276 | − | 0.135841i | ||||
\(895\) | 14.1034 | + | 3.77900i | 0.471426 | + | 0.126318i | ||||
\(896\) | 3.23856 | − | 9.16152i | 0.108193 | − | 0.306065i | ||||
\(897\) | −59.9216 | + | 1.05552i | −2.00073 | + | 0.0352427i | ||||
\(898\) | 3.95832 | 0.132091 | ||||||||
\(899\) | 7.93007 | − | 29.5954i | 0.264483 | − | 0.987063i | ||||
\(900\) | 7.01898 | + | 12.1572i | 0.233966 | + | 0.405241i | ||||
\(901\) | 9.15079 | − | 15.8496i | 0.304857 | − | 0.528028i | ||||
\(902\) | −1.84157 | − | 1.84157i | −0.0613176 | − | 0.0613176i | ||||
\(903\) | 12.2868 | + | 0.960150i | 0.408881 | + | 0.0319518i | ||||
\(904\) | 3.84122 | − | 1.02925i | 0.127757 | − | 0.0342324i | ||||
\(905\) | −18.6994 | − | 18.6994i | −0.621589 | − | 0.621589i | ||||
\(906\) | −1.16161 | − | 0.670657i | −0.0385920 | − | 0.0222811i | ||||
\(907\) | 29.3466 | − | 16.9433i | 0.974439 | − | 0.562593i | 0.0738526 | − | 0.997269i | \(-0.476471\pi\) |
0.900587 | + | 0.434676i | \(0.143137\pi\) | |||||||
\(908\) | −7.86438 | − | 2.10725i | −0.260989 | − | 0.0699317i | ||||
\(909\) | 60.0885 | 1.99301 | ||||||||
\(910\) | −1.08414 | + | 1.64050i | −0.0359389 | + | 0.0543820i | ||||
\(911\) | 4.66390 | 0.154522 | 0.0772610 | − | 0.997011i | \(-0.475383\pi\) | ||||
0.0772610 | + | 0.997011i | \(0.475383\pi\) | |||||||
\(912\) | −41.9783 | − | 11.2480i | −1.39004 | − | 0.372460i | ||||
\(913\) | 23.6819 | − | 13.6728i | 0.783757 | − | 0.452502i | ||||
\(914\) | 0.228791 | + | 0.132092i | 0.00756772 | + | 0.00436923i | ||||
\(915\) | −10.0007 | − | 10.0007i | −0.330614 | − | 0.330614i | ||||
\(916\) | 26.0500 | − | 6.98007i | 0.860716 | − | 0.230628i | ||||
\(917\) | 1.18816 | − | 15.2047i | 0.0392366 | − | 0.502103i | ||||
\(918\) | 0.691394 | + | 0.691394i | 0.0228194 | + | 0.0228194i | ||||
\(919\) | −12.0900 | + | 20.9405i | −0.398812 | + | 0.690763i | −0.993580 | − | 0.113135i | \(-0.963911\pi\) |
0.594767 | + | 0.803898i | \(0.297244\pi\) | |||||||
\(920\) | −2.62793 | − | 4.55170i | −0.0866402 | − | 0.150065i | ||||
\(921\) | 7.58297 | − | 28.3000i | 0.249867 | − | 0.932518i | ||||
\(922\) | −2.96686 | −0.0977084 | ||||||||
\(923\) | −11.9115 | + | 12.3386i | −0.392070 | + | 0.406131i | ||||
\(924\) | −8.91118 | + | 25.2088i | −0.293156 | + | 0.829307i | ||||
\(925\) | 5.14530 | + | 1.37868i | 0.169177 | + | 0.0453307i | ||||
\(926\) | 1.86798 | + | 3.23543i | 0.0613856 | + | 0.106323i | ||||
\(927\) | 22.1727 | − | 38.4043i | 0.728247 | − | 1.26136i | ||||
\(928\) | −7.02806 | + | 7.02806i | −0.230708 | + | 0.230708i | ||||
\(929\) | 15.0006 | − | 4.01941i | 0.492155 | − | 0.131872i | −0.00420200 | − | 0.999991i | \(-0.501338\pi\) |
0.496357 | + | 0.868119i | \(0.334671\pi\) | |||||||
\(930\) | −0.593364 | − | 2.21446i | −0.0194572 | − | 0.0726151i | ||||
\(931\) | −29.7082 | + | 3.15573i | −0.973647 | + | 0.103425i | ||||
\(932\) | 16.2386 | − | 28.1261i | 0.531913 | − | 0.921300i | ||||
\(933\) | 29.3534 | − | 16.9472i | 0.960987 | − | 0.554826i | ||||
\(934\) | −1.27369 | − | 0.341285i | −0.0416765 | − | 0.0111672i | ||||
\(935\) | 14.7871i | 0.483589i | ||||||||
\(936\) | 4.53139 | + | 4.37451i | 0.148113 | + | 0.142985i | ||||
\(937\) | − | 25.4720i | − | 0.832134i | −0.909334 | − | 0.416067i | \(-0.863408\pi\) | ||
0.909334 | − | 0.416067i | \(-0.136592\pi\) | |||||||
\(938\) | −0.00501944 | − | 0.00344568i | −0.000163891 | − | 0.000112505i | ||||
\(939\) | −4.64378 | − | 8.04326i | −0.151544 | − | 0.262482i | ||||
\(940\) | −20.1299 | − | 11.6220i | −0.656565 | − | 0.379068i | ||||
\(941\) | 12.6726 | + | 12.6726i | 0.413116 | + | 0.413116i | 0.882823 | − | 0.469706i | \(-0.155640\pi\) |
−0.469706 | + | 0.882823i | \(0.655640\pi\) | |||||||
\(942\) | −0.544248 | − | 2.03116i | −0.0177326 | − | 0.0661788i | ||||
\(943\) | 18.8625 | + | 70.3957i | 0.614246 | + | 2.29240i | ||||
\(944\) | −4.67503 | + | 4.67503i | −0.152159 | + | 0.152159i | ||||
\(945\) | −6.94990 | + | 5.94243i | −0.226080 | + | 0.193307i | ||||
\(946\) | −0.354822 | + | 0.204856i | −0.0115362 | + | 0.00666046i | ||||
\(947\) | 3.21690 | − | 12.0056i | 0.104535 | − | 0.390130i | −0.893757 | − | 0.448552i | \(-0.851940\pi\) |
0.998292 | + | 0.0584214i | \(0.0186067\pi\) | |||||||
\(948\) | 30.6478 | 0.995393 | ||||||||
\(949\) | −3.45597 | − | 0.861083i | −0.112185 | − | 0.0279519i | ||||
\(950\) | − | 0.938247i | − | 0.0304408i | ||||||
\(951\) | 22.3117 | − | 83.2684i | 0.723506 | − | 2.70016i | ||||
\(952\) | −5.17932 | + | 0.962898i | −0.167863 | + | 0.0312077i | ||||
\(953\) | 25.0716 | + | 14.4751i | 0.812147 | + | 0.468893i | 0.847701 | − | 0.530474i | \(-0.177986\pi\) |
−0.0355538 | + | 0.999368i | \(0.511320\pi\) | |||||||
\(954\) | −1.32556 | + | 1.32556i | −0.0429166 | + | 0.0429166i | ||||
\(955\) | 24.7776 | − | 6.63914i | 0.801785 | − | 0.214838i | ||||
\(956\) | −16.5925 | + | 4.44594i | −0.536639 | + | 0.143792i | ||||
\(957\) | 25.7545 | − | 25.7545i | 0.832525 | − | 0.832525i | ||||
\(958\) | 2.02778 | + | 1.17074i | 0.0655147 | + | 0.0378249i | ||||
\(959\) | 16.3243 | − | 3.03488i | 0.527138 | − | 0.0980013i | ||||
\(960\) | 9.11358 | − | 34.0123i | 0.294140 | − | 1.09774i | ||||
\(961\) | − | 12.6833i | − | 0.409139i | ||||||
\(962\) | 1.19072 | − | 0.0209745i | 0.0383903 | − | 0.000676243i | ||||
\(963\) | −29.9929 | −0.966509 | ||||||||
\(964\) | −6.90512 | + | 25.7703i | −0.222399 | + | 0.830004i | ||||
\(965\) | 29.9342 | − | 17.2825i | 0.963617 | − | 0.556344i | ||||
\(966\) | −3.90246 | + | 3.33675i | −0.125560 | + | 0.107358i | ||||
\(967\) | 20.8937 | − | 20.8937i | 0.671895 | − | 0.671895i | −0.286258 | − | 0.958153i | \(-0.592411\pi\) |
0.958153 | + | 0.286258i | \(0.0924113\pi\) | |||||||
\(968\) | 0.863372 | + | 3.22215i | 0.0277498 | + | 0.103564i | ||||
\(969\) | 12.2807 | + | 45.8323i | 0.394513 | + | 1.47234i | ||||
\(970\) | 2.15297 | + | 2.15297i | 0.0691276 | + | 0.0691276i | ||||
\(971\) | 35.5507 | + | 20.5252i | 1.14088 | + | 0.658685i | 0.946647 | − | 0.322271i | \(-0.104446\pi\) |
0.194229 | + | 0.980956i | \(0.437780\pi\) | |||||||
\(972\) | −21.7644 | − | 37.6971i | −0.698094 | − | 1.20913i | ||||
\(973\) | −45.6677 | − | 31.3494i | −1.46404 | − | 1.00501i | ||||
\(974\) | 3.66794i | 0.117528i | ||||||||
\(975\) | 8.55082 | − | 15.4319i | 0.273845 | − | 0.494216i | ||||
\(976\) | − | 12.0788i | − | 0.386633i | ||||||
\(977\) | −22.0546 | − | 5.90951i | −0.705589 | − | 0.189062i | −0.111856 | − | 0.993724i | \(-0.535680\pi\) |
−0.593733 | + | 0.804662i | \(0.702346\pi\) | |||||||
\(978\) | 3.39882 | − | 1.96231i | 0.108682 | − | 0.0627478i | ||||
\(979\) | −7.86639 | + | 13.6250i | −0.251411 | + | 0.435457i | ||||
\(980\) | −2.59309 | − | 24.4115i | −0.0828334 | − | 0.779798i | ||||
\(981\) | 12.0296 | + | 44.8951i | 0.384076 | + | 1.43339i | ||||
\(982\) | 2.19217 | − | 0.587390i | 0.0699549 | − | 0.0187444i | ||||
\(983\) | 21.0430 | − | 21.0430i | 0.671167 | − | 0.671167i | −0.286818 | − | 0.957985i | \(-0.592598\pi\) |
0.957985 | + | 0.286818i | \(0.0925976\pi\) | |||||||
\(984\) | 6.89057 | − | 11.9348i | 0.219663 | − | 0.380468i | ||||
\(985\) | −19.2080 | − | 33.2692i | −0.612017 | − | 1.06004i | ||||
\(986\) | 3.45403 | + | 0.925505i | 0.109999 | + | 0.0294741i | ||||
\(987\) | −15.1880 | + | 42.9651i | −0.483438 | + | 1.36759i | ||||
\(988\) | 8.42998 | + | 29.3811i | 0.268193 | + | 0.934737i | ||||
\(989\) | 11.4651 | 0.364569 | ||||||||
\(990\) | 0.392017 | − | 1.46303i | 0.0124591 | − | 0.0464981i | ||||
\(991\) | 1.24883 | + | 2.16303i | 0.0396703 | + | 0.0687110i | 0.885179 | − | 0.465251i | \(-0.154036\pi\) |
−0.845509 | + | 0.533962i | \(0.820703\pi\) | |||||||
\(992\) | 2.97089 | − | 5.14574i | 0.0943259 | − | 0.163377i | ||||
\(993\) | −1.74225 | − | 1.74225i | −0.0552888 | − | 0.0552888i | ||||
\(994\) | −0.114469 | + | 1.46484i | −0.00363075 | + | 0.0464620i | ||||
\(995\) | 32.8817 | − | 8.81062i | 1.04242 | − | 0.279315i | ||||
\(996\) | 50.9841 | + | 50.9841i | 1.61549 | + | 1.61549i | ||||
\(997\) | 5.16724 | + | 2.98331i | 0.163648 | + | 0.0944823i | 0.579587 | − | 0.814910i | \(-0.303214\pi\) |
−0.415939 | + | 0.909392i | \(0.636547\pi\) | |||||||
\(998\) | −1.68806 | + | 0.974599i | −0.0534345 | + | 0.0308504i | ||||
\(999\) | 5.34926 | + | 1.43333i | 0.169243 | + | 0.0453486i |
(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 | 91.2.bc.a.41.6 | yes | 32 | |
3.2 | odd | 2 | 819.2.fm.g.496.3 | 32 | |||
7.2 | even | 3 | 637.2.x.b.80.4 | 32 | |||
7.3 | odd | 6 | 637.2.bb.b.509.4 | 32 | |||
7.4 | even | 3 | 637.2.bb.b.509.3 | 32 | |||
7.5 | odd | 6 | 637.2.x.b.80.3 | 32 | |||
7.6 | odd | 2 | inner | 91.2.bc.a.41.5 | yes | 32 | |
13.7 | odd | 12 | inner | 91.2.bc.a.20.5 | ✓ | 32 | |
21.20 | even | 2 | 819.2.fm.g.496.4 | 32 | |||
39.20 | even | 12 | 819.2.fm.g.748.4 | 32 | |||
91.20 | even | 12 | inner | 91.2.bc.a.20.6 | yes | 32 | |
91.33 | even | 12 | 637.2.bb.b.423.3 | 32 | |||
91.46 | odd | 12 | 637.2.x.b.215.4 | 32 | |||
91.59 | even | 12 | 637.2.x.b.215.3 | 32 | |||
91.72 | odd | 12 | 637.2.bb.b.423.4 | 32 | |||
273.20 | odd | 12 | 819.2.fm.g.748.3 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.bc.a.20.5 | ✓ | 32 | 13.7 | odd | 12 | inner | |
91.2.bc.a.20.6 | yes | 32 | 91.20 | even | 12 | inner | |
91.2.bc.a.41.5 | yes | 32 | 7.6 | odd | 2 | inner | |
91.2.bc.a.41.6 | yes | 32 | 1.1 | even | 1 | trivial | |
637.2.x.b.80.3 | 32 | 7.5 | odd | 6 | |||
637.2.x.b.80.4 | 32 | 7.2 | even | 3 | |||
637.2.x.b.215.3 | 32 | 91.59 | even | 12 | |||
637.2.x.b.215.4 | 32 | 91.46 | odd | 12 | |||
637.2.bb.b.423.3 | 32 | 91.33 | even | 12 | |||
637.2.bb.b.423.4 | 32 | 91.72 | odd | 12 | |||
637.2.bb.b.509.3 | 32 | 7.4 | even | 3 | |||
637.2.bb.b.509.4 | 32 | 7.3 | odd | 6 | |||
819.2.fm.g.496.3 | 32 | 3.2 | odd | 2 | |||
819.2.fm.g.496.4 | 32 | 21.20 | even | 2 | |||
819.2.fm.g.748.3 | 32 | 273.20 | odd | 12 | |||
819.2.fm.g.748.4 | 32 | 39.20 | even | 12 |