Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(136,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.136");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bt (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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 145.6 | ||
Character | \(\chi\) | \(=\) | 273.145 |
Dual form | 273.2.bt.b.241.6 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.465913 | − | 0.465913i | 0.329450 | − | 0.329450i | −0.522927 | − | 0.852377i | \(-0.675160\pi\) |
0.852377 | + | 0.522927i | \(0.175160\pi\) | |||||||
\(3\) | 0.866025 | + | 0.500000i | 0.500000 | + | 0.288675i | ||||
\(4\) | 1.56585i | 0.782925i | ||||||||
\(5\) | −3.81958 | + | 1.02345i | −1.70817 | + | 0.457702i | −0.974974 | − | 0.222320i | \(-0.928637\pi\) |
−0.733192 | + | 0.680021i | \(0.761970\pi\) | |||||||
\(6\) | 0.636449 | − | 0.170536i | 0.259829 | − | 0.0696211i | ||||
\(7\) | −2.61148 | + | 0.424440i | −0.987048 | + | 0.160423i | ||||
\(8\) | 1.66138 | + | 1.66138i | 0.587385 | + | 0.587385i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | −1.30275 | + | 2.25643i | −0.411966 | + | 0.713546i | ||||
\(11\) | 2.60034 | − | 0.696760i | 0.784033 | − | 0.210081i | 0.155471 | − | 0.987840i | \(-0.450310\pi\) |
0.628562 | + | 0.777759i | \(0.283644\pi\) | |||||||
\(12\) | −0.782925 | + | 1.35607i | −0.226011 | + | 0.391462i | ||||
\(13\) | 0.360197 | + | 3.58751i | 0.0999006 | + | 0.994997i | ||||
\(14\) | −1.01897 | + | 1.41448i | −0.272332 | + | 0.378035i | ||||
\(15\) | −3.81958 | − | 1.02345i | −0.986210 | − | 0.264254i | ||||
\(16\) | −1.58358 | −0.395896 | ||||||||
\(17\) | 3.34664 | 0.811678 | 0.405839 | − | 0.913944i | \(-0.366979\pi\) | ||||
0.405839 | + | 0.913944i | \(0.366979\pi\) | |||||||
\(18\) | 0.636449 | + | 0.170536i | 0.150013 | + | 0.0401957i | ||||
\(19\) | −1.71776 | + | 6.41075i | −0.394080 | + | 1.47073i | 0.429261 | + | 0.903181i | \(0.358774\pi\) |
−0.823341 | + | 0.567547i | \(0.807893\pi\) | |||||||
\(20\) | −1.60257 | − | 5.98088i | −0.358346 | − | 1.33737i | ||||
\(21\) | −2.47383 | − | 0.938166i | −0.539834 | − | 0.204725i | ||||
\(22\) | 0.886905 | − | 1.53616i | 0.189089 | − | 0.327511i | ||||
\(23\) | − | 6.53430i | − | 1.36250i | −0.732053 | − | 0.681248i | \(-0.761438\pi\) | ||
0.732053 | − | 0.681248i | \(-0.238562\pi\) | |||||||
\(24\) | 0.608106 | + | 2.26948i | 0.124129 | + | 0.463256i | ||||
\(25\) | 9.21158 | − | 5.31831i | 1.84232 | − | 1.06366i | ||||
\(26\) | 1.83929 | + | 1.50365i | 0.360715 | + | 0.294890i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −0.664609 | − | 4.08919i | −0.125599 | − | 0.772785i | ||||
\(29\) | −1.95916 | − | 3.39337i | −0.363808 | − | 0.630133i | 0.624776 | − | 0.780804i | \(-0.285190\pi\) |
−0.988584 | + | 0.150670i | \(0.951857\pi\) | |||||||
\(30\) | −2.25643 | + | 1.30275i | −0.411966 | + | 0.237849i | ||||
\(31\) | 0.378198 | − | 1.41145i | 0.0679263 | − | 0.253504i | −0.923610 | − | 0.383333i | \(-0.874776\pi\) |
0.991536 | + | 0.129829i | \(0.0414428\pi\) | |||||||
\(32\) | −4.06057 | + | 4.06057i | −0.717814 | + | 0.717814i | ||||
\(33\) | 2.60034 | + | 0.696760i | 0.452662 | + | 0.121290i | ||||
\(34\) | 1.55924 | − | 1.55924i | 0.267408 | − | 0.267408i | ||||
\(35\) | 9.54037 | − | 4.29391i | 1.61262 | − | 0.725803i | ||||
\(36\) | −1.35607 | + | 0.782925i | −0.226011 | + | 0.130487i | ||||
\(37\) | 1.48339 | + | 1.48339i | 0.243868 | + | 0.243868i | 0.818448 | − | 0.574580i | \(-0.194835\pi\) |
−0.574580 | + | 0.818448i | \(0.694835\pi\) | |||||||
\(38\) | 2.18653 | + | 3.78718i | 0.354702 | + | 0.614362i | ||||
\(39\) | −1.48182 | + | 3.28698i | −0.237281 | + | 0.526338i | ||||
\(40\) | −8.04609 | − | 4.64541i | −1.27220 | − | 0.734505i | ||||
\(41\) | 0.717157 | − | 2.67647i | 0.112001 | − | 0.417994i | −0.887044 | − | 0.461685i | \(-0.847245\pi\) |
0.999045 | + | 0.0436912i | \(0.0139118\pi\) | |||||||
\(42\) | −1.58970 | + | 0.715487i | −0.245295 | + | 0.110402i | ||||
\(43\) | 9.41379 | + | 5.43505i | 1.43559 | + | 0.828838i | 0.997539 | − | 0.0701122i | \(-0.0223357\pi\) |
0.438051 | + | 0.898950i | \(0.355669\pi\) | |||||||
\(44\) | 1.09102 | + | 4.07175i | 0.164478 | + | 0.613839i | ||||
\(45\) | −2.79612 | − | 2.79612i | −0.416821 | − | 0.416821i | ||||
\(46\) | −3.04442 | − | 3.04442i | −0.448875 | − | 0.448875i | ||||
\(47\) | 0.473614 | + | 1.76755i | 0.0690838 | + | 0.257824i | 0.991827 | − | 0.127592i | \(-0.0407247\pi\) |
−0.922743 | + | 0.385416i | \(0.874058\pi\) | |||||||
\(48\) | −1.37142 | − | 0.791792i | −0.197948 | − | 0.114285i | ||||
\(49\) | 6.63970 | − | 2.21684i | 0.948529 | − | 0.316691i | ||||
\(50\) | 1.81393 | − | 6.76967i | 0.256528 | − | 0.957375i | ||||
\(51\) | 2.89827 | + | 1.67332i | 0.405839 | + | 0.234311i | ||||
\(52\) | −5.61751 | + | 0.564014i | −0.779008 | + | 0.0782147i | ||||
\(53\) | 3.90136 | + | 6.75735i | 0.535892 | + | 0.928193i | 0.999120 | + | 0.0419532i | \(0.0133580\pi\) |
−0.463227 | + | 0.886240i | \(0.653309\pi\) | |||||||
\(54\) | 0.465913 | + | 0.465913i | 0.0634028 | + | 0.0634028i | ||||
\(55\) | −9.21911 | + | 5.32265i | −1.24310 | + | 0.717707i | ||||
\(56\) | −5.04381 | − | 3.63350i | −0.674008 | − | 0.485547i | ||||
\(57\) | −4.69300 | + | 4.69300i | −0.621603 | + | 0.621603i | ||||
\(58\) | −2.49382 | − | 0.668217i | −0.327454 | − | 0.0877411i | ||||
\(59\) | −0.420268 | + | 0.420268i | −0.0547142 | + | 0.0547142i | −0.733934 | − | 0.679220i | \(-0.762318\pi\) |
0.679220 | + | 0.733934i | \(0.262318\pi\) | |||||||
\(60\) | 1.60257 | − | 5.98088i | 0.206891 | − | 0.772128i | ||||
\(61\) | 4.75223 | − | 2.74370i | 0.608461 | − | 0.351295i | −0.163902 | − | 0.986477i | \(-0.552408\pi\) |
0.772363 | + | 0.635181i | \(0.219075\pi\) | |||||||
\(62\) | −0.481407 | − | 0.833822i | −0.0611388 | − | 0.105896i | ||||
\(63\) | −1.67332 | − | 2.04939i | −0.210818 | − | 0.258199i | ||||
\(64\) | 0.616576i | 0.0770720i | ||||||||
\(65\) | −5.04745 | − | 13.3341i | −0.626059 | − | 1.65390i | ||||
\(66\) | 1.53616 | − | 0.886905i | 0.189089 | − | 0.109170i | ||||
\(67\) | −0.853301 | − | 3.18456i | −0.104247 | − | 0.389056i | 0.894011 | − | 0.448044i | \(-0.147879\pi\) |
−0.998259 | + | 0.0589879i | \(0.981213\pi\) | |||||||
\(68\) | 5.24033i | 0.635483i | ||||||||
\(69\) | 3.26715 | − | 5.65887i | 0.393319 | − | 0.681248i | ||||
\(70\) | 2.44439 | − | 6.44557i | 0.292161 | − | 0.770393i | ||||
\(71\) | −0.629931 | − | 2.35094i | −0.0747591 | − | 0.279005i | 0.918419 | − | 0.395608i | \(-0.129466\pi\) |
−0.993179 | + | 0.116603i | \(0.962799\pi\) | |||||||
\(72\) | −0.608106 | + | 2.26948i | −0.0716660 | + | 0.267461i | ||||
\(73\) | −2.50120 | − | 0.670194i | −0.292743 | − | 0.0784402i | 0.109459 | − | 0.993991i | \(-0.465088\pi\) |
−0.402202 | + | 0.915551i | \(0.631755\pi\) | |||||||
\(74\) | 1.38226 | 0.160685 | ||||||||
\(75\) | 10.6366 | 1.22821 | ||||||||
\(76\) | −10.0383 | − | 2.68975i | −1.15147 | − | 0.308535i | ||||
\(77\) | −6.49502 | + | 2.92327i | −0.740177 | + | 0.333137i | ||||
\(78\) | 0.841048 | + | 2.22184i | 0.0952299 | + | 0.251574i | ||||
\(79\) | −6.72164 | + | 11.6422i | −0.756244 | + | 1.30985i | 0.188510 | + | 0.982071i | \(0.439634\pi\) |
−0.944754 | + | 0.327781i | \(0.893699\pi\) | |||||||
\(80\) | 6.04862 | − | 1.62072i | 0.676256 | − | 0.181202i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −0.912868 | − | 1.58113i | −0.100809 | − | 0.174607i | ||||
\(83\) | 0.485609 | + | 0.485609i | 0.0533025 | + | 0.0533025i | 0.733256 | − | 0.679953i | \(-0.238000\pi\) |
−0.679953 | + | 0.733256i | \(0.738000\pi\) | |||||||
\(84\) | 1.46903 | − | 3.87365i | 0.160284 | − | 0.422650i | ||||
\(85\) | −12.7827 | + | 3.42512i | −1.38648 | + | 0.371507i | ||||
\(86\) | 6.91827 | − | 1.85375i | 0.746017 | − | 0.199895i | ||||
\(87\) | − | 3.91833i | − | 0.420089i | ||||||
\(88\) | 5.47773 | + | 3.16257i | 0.583928 | + | 0.337131i | ||||
\(89\) | 5.80764 | − | 5.80764i | 0.615609 | − | 0.615609i | −0.328793 | − | 0.944402i | \(-0.606642\pi\) |
0.944402 | + | 0.328793i | \(0.106642\pi\) | |||||||
\(90\) | −2.60550 | −0.274644 | ||||||||
\(91\) | −2.46333 | − | 9.21586i | −0.258227 | − | 0.966084i | ||||
\(92\) | 10.2317 | 1.06673 | ||||||||
\(93\) | 1.03326 | − | 1.03326i | 0.107144 | − | 0.107144i | ||||
\(94\) | 1.04419 | + | 0.602863i | 0.107700 | + | 0.0621806i | ||||
\(95\) | − | 26.2444i | − | 2.69262i | ||||||
\(96\) | −5.54684 | + | 1.48627i | −0.566122 | + | 0.151692i | ||||
\(97\) | −7.37323 | + | 1.97565i | −0.748638 | + | 0.200597i | −0.612914 | − | 0.790150i | \(-0.710003\pi\) |
−0.135724 | + | 0.990747i | \(0.543336\pi\) | |||||||
\(98\) | 2.06067 | − | 4.12638i | 0.208159 | − | 0.416827i | ||||
\(99\) | 1.90358 | + | 1.90358i | 0.191317 | + | 0.191317i | ||||
\(100\) | 8.32767 | + | 14.4239i | 0.832767 | + | 1.44239i | ||||
\(101\) | −6.78046 | + | 11.7441i | −0.674681 | + | 1.16858i | 0.301882 | + | 0.953345i | \(0.402385\pi\) |
−0.976562 | + | 0.215236i | \(0.930948\pi\) | |||||||
\(102\) | 2.12996 | − | 0.570722i | 0.210898 | − | 0.0565099i | ||||
\(103\) | 2.89216 | − | 5.00937i | 0.284973 | − | 0.493588i | −0.687630 | − | 0.726062i | \(-0.741349\pi\) |
0.972603 | + | 0.232474i | \(0.0746820\pi\) | |||||||
\(104\) | −5.36179 | + | 6.55864i | −0.525767 | + | 0.643127i | ||||
\(105\) | 10.4092 | + | 1.05155i | 1.01583 | + | 0.102621i | ||||
\(106\) | 4.96603 | + | 1.33064i | 0.482343 | + | 0.129244i | ||||
\(107\) | 6.76933 | 0.654416 | 0.327208 | − | 0.944952i | \(-0.393892\pi\) | ||||
0.327208 | + | 0.944952i | \(0.393892\pi\) | |||||||
\(108\) | −1.56585 | −0.150674 | ||||||||
\(109\) | 4.02199 | + | 1.07769i | 0.385237 | + | 0.103224i | 0.446239 | − | 0.894914i | \(-0.352763\pi\) |
−0.0610023 | + | 0.998138i | \(0.519430\pi\) | |||||||
\(110\) | −1.81541 | + | 6.77520i | −0.173092 | + | 0.645990i | ||||
\(111\) | 0.542959 | + | 2.02635i | 0.0515354 | + | 0.192333i | ||||
\(112\) | 4.13551 | − | 0.672136i | 0.390769 | − | 0.0635109i | ||||
\(113\) | −8.98623 | + | 15.5646i | −0.845353 | + | 1.46420i | 0.0399604 | + | 0.999201i | \(0.487277\pi\) |
−0.885314 | + | 0.464994i | \(0.846057\pi\) | |||||||
\(114\) | 4.37306i | 0.409574i | ||||||||
\(115\) | 6.68754 | + | 24.9583i | 0.623617 | + | 2.32737i | ||||
\(116\) | 5.31351 | − | 3.06776i | 0.493347 | − | 0.284834i | ||||
\(117\) | −2.92678 | + | 2.10570i | −0.270581 | + | 0.194672i | ||||
\(118\) | 0.391617i | 0.0360513i | ||||||||
\(119\) | −8.73969 | + | 1.42045i | −0.801166 | + | 0.130212i | ||||
\(120\) | −4.64541 | − | 8.04609i | −0.424066 | − | 0.734505i | ||||
\(121\) | −3.24997 | + | 1.87637i | −0.295452 | + | 0.170579i | ||||
\(122\) | 0.935801 | − | 3.49246i | 0.0847234 | − | 0.316192i | ||||
\(123\) | 1.95931 | − | 1.95931i | 0.176665 | − | 0.176665i | ||||
\(124\) | 2.21012 | + | 0.592201i | 0.198475 | + | 0.0531812i | ||||
\(125\) | −15.7607 | + | 15.7607i | −1.40968 | + | 1.40968i | ||||
\(126\) | −1.73446 | − | 0.175218i | −0.154518 | − | 0.0156096i | ||||
\(127\) | 10.5135 | − | 6.07000i | 0.932926 | − | 0.538625i | 0.0451906 | − | 0.998978i | \(-0.485610\pi\) |
0.887736 | + | 0.460353i | \(0.152277\pi\) | |||||||
\(128\) | −7.83386 | − | 7.83386i | −0.692422 | − | 0.692422i | ||||
\(129\) | 5.43505 | + | 9.41379i | 0.478530 | + | 0.828838i | ||||
\(130\) | −8.56423 | − | 3.86088i | −0.751132 | − | 0.338621i | ||||
\(131\) | −12.0751 | − | 6.97154i | −1.05500 | − | 0.609107i | −0.130958 | − | 0.991388i | \(-0.541805\pi\) |
−0.924046 | + | 0.382281i | \(0.875139\pi\) | |||||||
\(132\) | −1.09102 | + | 4.07175i | −0.0949612 | + | 0.354400i | ||||
\(133\) | 1.76491 | − | 17.4707i | 0.153037 | − | 1.51490i | ||||
\(134\) | −1.88130 | − | 1.08617i | −0.162519 | − | 0.0938305i | ||||
\(135\) | −1.02345 | − | 3.81958i | −0.0880847 | − | 0.328737i | ||||
\(136\) | 5.56002 | + | 5.56002i | 0.476768 | + | 0.476768i | ||||
\(137\) | 11.0067 | + | 11.0067i | 0.940363 | + | 0.940363i | 0.998319 | − | 0.0579565i | \(-0.0184585\pi\) |
−0.0579565 | + | 0.998319i | \(0.518458\pi\) | |||||||
\(138\) | −1.11433 | − | 4.15875i | −0.0948584 | − | 0.354016i | ||||
\(139\) | −12.6736 | − | 7.31710i | −1.07496 | − | 0.620629i | −0.145428 | − | 0.989369i | \(-0.546456\pi\) |
−0.929532 | + | 0.368740i | \(0.879789\pi\) | |||||||
\(140\) | 6.72362 | + | 14.9388i | 0.568249 | + | 1.26256i | ||||
\(141\) | −0.473614 | + | 1.76755i | −0.0398855 | + | 0.148855i | ||||
\(142\) | −1.38883 | − | 0.801839i | −0.116548 | − | 0.0672888i | ||||
\(143\) | 3.43627 | + | 9.07780i | 0.287355 | + | 0.759124i | ||||
\(144\) | −0.791792 | − | 1.37142i | −0.0659827 | − | 0.114285i | ||||
\(145\) | 10.9561 | + | 10.9561i | 0.909857 | + | 0.909857i | ||||
\(146\) | −1.47759 | + | 0.853089i | −0.122286 | + | 0.0706021i | ||||
\(147\) | 6.85857 | + | 1.40001i | 0.565685 | + | 0.115471i | ||||
\(148\) | −2.32277 | + | 2.32277i | −0.190930 | + | 0.190930i | ||||
\(149\) | −2.71328 | − | 0.727021i | −0.222280 | − | 0.0595599i | 0.145960 | − | 0.989291i | \(-0.453373\pi\) |
−0.368240 | + | 0.929731i | \(0.620040\pi\) | |||||||
\(150\) | 4.95574 | − | 4.95574i | 0.404634 | − | 0.404634i | ||||
\(151\) | 2.18280 | − | 8.14633i | 0.177634 | − | 0.662939i | −0.818454 | − | 0.574572i | \(-0.805169\pi\) |
0.996088 | − | 0.0883669i | \(-0.0281648\pi\) | |||||||
\(152\) | −13.5045 | + | 7.79684i | −1.09536 | + | 0.632407i | ||||
\(153\) | 1.67332 | + | 2.89827i | 0.135280 | + | 0.234311i | ||||
\(154\) | −1.66413 | + | 4.38811i | −0.134099 | + | 0.353604i | ||||
\(155\) | 5.77822i | 0.464118i | ||||||||
\(156\) | −5.14691 | − | 2.32030i | −0.412083 | − | 0.185773i | ||||
\(157\) | 15.0399 | − | 8.68326i | 1.20031 | − | 0.693000i | 0.239687 | − | 0.970850i | \(-0.422955\pi\) |
0.960624 | + | 0.277850i | \(0.0896220\pi\) | |||||||
\(158\) | 2.29256 | + | 8.55597i | 0.182387 | + | 0.680676i | ||||
\(159\) | 7.80271i | 0.618795i | ||||||||
\(160\) | 11.3538 | − | 19.6654i | 0.897600 | − | 1.55469i | ||||
\(161\) | 2.77342 | + | 17.0642i | 0.218576 | + | 1.34485i | ||||
\(162\) | 0.170536 | + | 0.636449i | 0.0133986 | + | 0.0500042i | ||||
\(163\) | 6.14618 | − | 22.9379i | 0.481406 | − | 1.79663i | −0.114318 | − | 0.993444i | \(-0.536468\pi\) |
0.595725 | − | 0.803189i | \(-0.296865\pi\) | |||||||
\(164\) | 4.19094 | + | 1.12296i | 0.327258 | + | 0.0876884i | ||||
\(165\) | −10.6453 | −0.828736 | ||||||||
\(166\) | 0.452504 | 0.0351211 | ||||||||
\(167\) | 20.3791 | + | 5.46055i | 1.57698 | + | 0.422550i | 0.937989 | − | 0.346665i | \(-0.112686\pi\) |
0.638989 | + | 0.769216i | \(0.279353\pi\) | |||||||
\(168\) | −2.55132 | − | 5.66861i | −0.196839 | − | 0.437343i | ||||
\(169\) | −12.7405 | + | 2.58442i | −0.980040 | + | 0.198802i | ||||
\(170\) | −4.35983 | + | 7.55145i | −0.334384 | + | 0.579170i | ||||
\(171\) | −6.41075 | + | 1.71776i | −0.490242 | + | 0.131360i | ||||
\(172\) | −8.51048 | + | 14.7406i | −0.648918 | + | 1.12396i | ||||
\(173\) | −7.97561 | − | 13.8142i | −0.606375 | − | 1.05027i | −0.991833 | − | 0.127546i | \(-0.959290\pi\) |
0.385458 | − | 0.922725i | \(-0.374043\pi\) | |||||||
\(174\) | −1.82560 | − | 1.82560i | −0.138398 | − | 0.138398i | ||||
\(175\) | −21.7986 | + | 17.7984i | −1.64782 | + | 1.34544i | ||||
\(176\) | −4.11786 | + | 1.10338i | −0.310396 | + | 0.0831702i | ||||
\(177\) | −0.574097 | + | 0.153829i | −0.0431517 | + | 0.0115625i | ||||
\(178\) | − | 5.41171i | − | 0.405625i | ||||||
\(179\) | −2.50208 | − | 1.44457i | −0.187014 | − | 0.107973i | 0.403570 | − | 0.914949i | \(-0.367769\pi\) |
−0.590584 | + | 0.806976i | \(0.701103\pi\) | |||||||
\(180\) | 4.37831 | − | 4.37831i | 0.326340 | − | 0.326340i | ||||
\(181\) | 16.0175 | 1.19057 | 0.595284 | − | 0.803515i | \(-0.297040\pi\) | ||||
0.595284 | + | 0.803515i | \(0.297040\pi\) | |||||||
\(182\) | −5.44149 | − | 3.14609i | −0.403350 | − | 0.233204i | ||||
\(183\) | 5.48741 | 0.405641 | ||||||||
\(184\) | 10.8559 | − | 10.8559i | 0.800310 | − | 0.800310i | ||||
\(185\) | −7.18411 | − | 4.14775i | −0.528186 | − | 0.304948i | ||||
\(186\) | − | 0.962815i | − | 0.0705970i | ||||||
\(187\) | 8.70240 | − | 2.33180i | 0.636383 | − | 0.170518i | ||||
\(188\) | −2.76772 | + | 0.741609i | −0.201857 | + | 0.0540874i | ||||
\(189\) | −0.424440 | − | 2.61148i | −0.0308735 | − | 0.189958i | ||||
\(190\) | −12.2276 | − | 12.2276i | −0.887084 | − | 0.887084i | ||||
\(191\) | −10.6868 | − | 18.5100i | −0.773267 | − | 1.33934i | −0.935763 | − | 0.352628i | \(-0.885288\pi\) |
0.162497 | − | 0.986709i | \(-0.448045\pi\) | |||||||
\(192\) | −0.308288 | + | 0.533970i | −0.0222488 | + | 0.0385360i | ||||
\(193\) | 8.98686 | − | 2.40802i | 0.646888 | − | 0.173333i | 0.0795667 | − | 0.996830i | \(-0.474646\pi\) |
0.567322 | + | 0.823496i | \(0.307980\pi\) | |||||||
\(194\) | −2.51480 | + | 4.35577i | −0.180552 | + | 0.312726i | ||||
\(195\) | 2.29585 | − | 14.0714i | 0.164409 | − | 1.00768i | ||||
\(196\) | 3.47123 | + | 10.3968i | 0.247945 | + | 0.742627i | ||||
\(197\) | −2.84864 | − | 0.763291i | −0.202957 | − | 0.0543823i | 0.155908 | − | 0.987772i | \(-0.450170\pi\) |
−0.358865 | + | 0.933389i | \(0.616836\pi\) | |||||||
\(198\) | 1.77381 | 0.126059 | ||||||||
\(199\) | −5.64689 | −0.400297 | −0.200149 | − | 0.979766i | \(-0.564142\pi\) | ||||
−0.200149 | + | 0.979766i | \(0.564142\pi\) | |||||||
\(200\) | 24.1396 | + | 6.46819i | 1.70693 | + | 0.457370i | ||||
\(201\) | 0.853301 | − | 3.18456i | 0.0601872 | − | 0.224622i | ||||
\(202\) | 2.31262 | + | 8.63083i | 0.162716 | + | 0.607263i | ||||
\(203\) | 6.55661 | + | 8.03019i | 0.460184 | + | 0.563609i | ||||
\(204\) | −2.62016 | + | 4.53826i | −0.183448 | + | 0.317742i | ||||
\(205\) | 10.9569i | 0.765266i | ||||||||
\(206\) | −0.986436 | − | 3.68143i | −0.0687283 | − | 0.256497i | ||||
\(207\) | 5.65887 | − | 3.26715i | 0.393319 | − | 0.227083i | ||||
\(208\) | −0.570402 | − | 5.68113i | −0.0395503 | − | 0.393916i | ||||
\(209\) | 17.8670i | 1.23589i | ||||||||
\(210\) | 5.33969 | − | 4.35983i | 0.368474 | − | 0.300857i | ||||
\(211\) | 4.36155 | + | 7.55442i | 0.300261 | + | 0.520068i | 0.976195 | − | 0.216895i | \(-0.0695928\pi\) |
−0.675934 | + | 0.736962i | \(0.736259\pi\) | |||||||
\(212\) | −10.5810 | + | 6.10894i | −0.726705 | + | 0.419563i | ||||
\(213\) | 0.629931 | − | 2.35094i | 0.0431622 | − | 0.161083i | ||||
\(214\) | 3.15392 | − | 3.15392i | 0.215598 | − | 0.215598i | ||||
\(215\) | −41.5192 | − | 11.1250i | −2.83159 | − | 0.758721i | ||||
\(216\) | −1.66138 | + | 1.66138i | −0.113042 | + | 0.113042i | ||||
\(217\) | −0.388580 | + | 3.84651i | −0.0263785 | + | 0.261118i | ||||
\(218\) | 2.37601 | − | 1.37179i | 0.160924 | − | 0.0929093i | ||||
\(219\) | −1.83100 | − | 1.83100i | −0.123728 | − | 0.123728i | ||||
\(220\) | −8.33448 | − | 14.4357i | −0.561910 | − | 0.973257i | ||||
\(221\) | 1.20545 | + | 12.0061i | 0.0810872 | + | 0.807618i | ||||
\(222\) | 1.19708 | + | 0.691132i | 0.0803424 | + | 0.0463857i | ||||
\(223\) | 2.60725 | − | 9.73040i | 0.174595 | − | 0.651596i | −0.822026 | − | 0.569450i | \(-0.807156\pi\) |
0.996620 | − | 0.0821456i | \(-0.0261773\pi\) | |||||||
\(224\) | 8.88064 | − | 12.3276i | 0.593363 | − | 0.823671i | ||||
\(225\) | 9.21158 | + | 5.31831i | 0.614105 | + | 0.354554i | ||||
\(226\) | 3.06495 | + | 11.4386i | 0.203878 | + | 0.760882i | ||||
\(227\) | −3.08511 | − | 3.08511i | −0.204766 | − | 0.204766i | 0.597273 | − | 0.802038i | \(-0.296251\pi\) |
−0.802038 | + | 0.597273i | \(0.796251\pi\) | |||||||
\(228\) | −7.34853 | − | 7.34853i | −0.486668 | − | 0.486668i | ||||
\(229\) | 4.36901 | + | 16.3054i | 0.288713 | + | 1.07749i | 0.946083 | + | 0.323923i | \(0.105002\pi\) |
−0.657371 | + | 0.753567i | \(0.728331\pi\) | |||||||
\(230\) | 14.7442 | + | 8.51257i | 0.972204 | + | 0.561302i | ||||
\(231\) | −7.08649 | − | 0.715888i | −0.466257 | − | 0.0471020i | ||||
\(232\) | 2.38276 | − | 8.89258i | 0.156436 | − | 0.583827i | ||||
\(233\) | 3.04241 | + | 1.75654i | 0.199315 | + | 0.115075i | 0.596336 | − | 0.802735i | \(-0.296623\pi\) |
−0.397021 | + | 0.917810i | \(0.629956\pi\) | |||||||
\(234\) | −0.382554 | + | 2.34470i | −0.0250083 | + | 0.153278i | ||||
\(235\) | −3.61801 | − | 6.26658i | −0.236013 | − | 0.408787i | ||||
\(236\) | −0.658076 | − | 0.658076i | −0.0428371 | − | 0.0428371i | ||||
\(237\) | −11.6422 | + | 6.72164i | −0.756244 | + | 0.436617i | ||||
\(238\) | −3.41013 | + | 4.73374i | −0.221046 | + | 0.306843i | ||||
\(239\) | 15.0576 | − | 15.0576i | 0.973998 | − | 0.973998i | −0.0256726 | − | 0.999670i | \(-0.508173\pi\) |
0.999670 | + | 0.0256726i | \(0.00817273\pi\) | |||||||
\(240\) | 6.04862 | + | 1.62072i | 0.390437 | + | 0.104617i | ||||
\(241\) | 7.77594 | − | 7.77594i | 0.500892 | − | 0.500892i | −0.410823 | − | 0.911715i | \(-0.634759\pi\) |
0.911715 | + | 0.410823i | \(0.134759\pi\) | |||||||
\(242\) | −0.639978 | + | 2.38843i | −0.0411393 | + | 0.153534i | ||||
\(243\) | −0.866025 | + | 0.500000i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | 4.29623 | + | 7.44128i | 0.275038 | + | 0.476379i | ||||
\(245\) | −23.0920 | + | 15.2628i | −1.47529 | + | 0.975104i | ||||
\(246\) | − | 1.82574i | − | 0.116405i | ||||||
\(247\) | −23.6174 | − | 3.85334i | −1.50274 | − | 0.245182i | ||||
\(248\) | 2.97328 | − | 1.71663i | 0.188804 | − | 0.109006i | ||||
\(249\) | 0.177745 | + | 0.663355i | 0.0112642 | + | 0.0420384i | ||||
\(250\) | 14.6862i | 0.928837i | ||||||||
\(251\) | 11.0284 | − | 19.1018i | 0.696107 | − | 1.20569i | −0.273700 | − | 0.961815i | \(-0.588247\pi\) |
0.969806 | − | 0.243877i | \(-0.0784193\pi\) | |||||||
\(252\) | 3.20904 | − | 2.62016i | 0.202150 | − | 0.165055i | ||||
\(253\) | −4.55284 | − | 16.9914i | −0.286235 | − | 1.06824i | ||||
\(254\) | 2.07031 | − | 7.72650i | 0.129903 | − | 0.484803i | ||||
\(255\) | −12.7827 | − | 3.42512i | −0.800486 | − | 0.214489i | ||||
\(256\) | −8.53295 | −0.533310 | ||||||||
\(257\) | 6.63988 | 0.414184 | 0.207092 | − | 0.978321i | \(-0.433600\pi\) | ||||
0.207092 | + | 0.978321i | \(0.433600\pi\) | |||||||
\(258\) | 6.91827 | + | 1.85375i | 0.430713 | + | 0.115409i | ||||
\(259\) | −4.50346 | − | 3.24424i | −0.279832 | − | 0.201587i | ||||
\(260\) | 20.8793 | − | 7.90354i | 1.29488 | − | 0.490157i | ||||
\(261\) | 1.95916 | − | 3.39337i | 0.121269 | − | 0.210044i | ||||
\(262\) | −8.87407 | + | 2.37780i | −0.548242 | + | 0.146901i | ||||
\(263\) | −0.526039 | + | 0.911126i | −0.0324369 | + | 0.0561824i | −0.881788 | − | 0.471646i | \(-0.843660\pi\) |
0.849351 | + | 0.527828i | \(0.176993\pi\) | |||||||
\(264\) | 3.16257 | + | 5.47773i | 0.194643 | + | 0.337131i | ||||
\(265\) | −21.8173 | − | 21.8173i | −1.34023 | − | 1.34023i | ||||
\(266\) | −7.31752 | − | 8.96211i | −0.448666 | − | 0.549502i | ||||
\(267\) | 7.93338 | − | 2.12574i | 0.485515 | − | 0.130093i | ||||
\(268\) | 4.98655 | − | 1.33614i | 0.304602 | − | 0.0816178i | ||||
\(269\) | − | 6.98179i | − | 0.425687i | −0.977086 | − | 0.212844i | \(-0.931727\pi\) | ||
0.977086 | − | 0.212844i | \(-0.0682725\pi\) | |||||||
\(270\) | −2.25643 | − | 1.30275i | −0.137322 | − | 0.0792829i | ||||
\(271\) | 17.8972 | − | 17.8972i | 1.08718 | − | 1.08718i | 0.0913570 | − | 0.995818i | \(-0.470880\pi\) |
0.995818 | − | 0.0913570i | \(-0.0291204\pi\) | |||||||
\(272\) | −5.29968 | −0.321340 | ||||||||
\(273\) | 2.47462 | − | 9.21283i | 0.149771 | − | 0.557586i | ||||
\(274\) | 10.2563 | 0.619606 | ||||||||
\(275\) | 20.2477 | − | 20.2477i | 1.22098 | − | 1.22098i | ||||
\(276\) | 8.86094 | + | 5.11587i | 0.533366 | + | 0.307939i | ||||
\(277\) | 26.1098i | 1.56878i | 0.620265 | + | 0.784392i | \(0.287025\pi\) | ||||
−0.620265 | + | 0.784392i | \(0.712975\pi\) | |||||||
\(278\) | −9.31393 | + | 2.49566i | −0.558612 | + | 0.149680i | ||||
\(279\) | 1.41145 | − | 0.378198i | 0.0845015 | − | 0.0226421i | ||||
\(280\) | 22.9839 | + | 8.71634i | 1.37355 | + | 0.520901i | ||||
\(281\) | −13.0103 | − | 13.0103i | −0.776131 | − | 0.776131i | 0.203039 | − | 0.979171i | \(-0.434918\pi\) |
−0.979171 | + | 0.203039i | \(0.934918\pi\) | |||||||
\(282\) | 0.602863 | + | 1.04419i | 0.0359000 | + | 0.0621806i | ||||
\(283\) | −3.14855 | + | 5.45344i | −0.187162 | + | 0.324174i | −0.944303 | − | 0.329078i | \(-0.893262\pi\) |
0.757141 | + | 0.653251i | \(0.226596\pi\) | |||||||
\(284\) | 3.68121 | − | 0.986378i | 0.218440 | − | 0.0585308i | ||||
\(285\) | 13.1222 | − | 22.7283i | 0.777292 | − | 1.34631i | ||||
\(286\) | 5.83047 | + | 2.62846i | 0.344763 | + | 0.155424i | ||||
\(287\) | −0.736845 | + | 7.29394i | −0.0434946 | + | 0.430548i | ||||
\(288\) | −5.54684 | − | 1.48627i | −0.326850 | − | 0.0875793i | ||||
\(289\) | −5.80003 | −0.341178 | ||||||||
\(290\) | 10.2092 | 0.599506 | ||||||||
\(291\) | −7.37323 | − | 1.97565i | −0.432226 | − | 0.115815i | ||||
\(292\) | 1.04942 | − | 3.91650i | 0.0614128 | − | 0.229196i | ||||
\(293\) | −3.07465 | − | 11.4748i | −0.179623 | − | 0.670362i | −0.995718 | − | 0.0924444i | \(-0.970532\pi\) |
0.816095 | − | 0.577918i | \(-0.196135\pi\) | |||||||
\(294\) | 3.84778 | − | 2.54321i | 0.224407 | − | 0.148323i | ||||
\(295\) | 1.17512 | − | 2.03537i | 0.0684182 | − | 0.118504i | ||||
\(296\) | 4.92894i | 0.286489i | ||||||||
\(297\) | 0.696760 | + | 2.60034i | 0.0404301 | + | 0.150887i | ||||
\(298\) | −1.60288 | + | 0.925424i | −0.0928524 | + | 0.0536084i | ||||
\(299\) | 23.4419 | − | 2.35363i | 1.35568 | − | 0.136114i | ||||
\(300\) | 16.6553i | 0.961596i | ||||||||
\(301\) | −26.8908 | − | 10.1980i | −1.54996 | − | 0.587801i | ||||
\(302\) | −2.77849 | − | 4.81248i | −0.159884 | − | 0.276927i | ||||
\(303\) | −11.7441 | + | 6.78046i | −0.674681 | + | 0.389527i | ||||
\(304\) | 2.72021 | − | 10.1520i | 0.156015 | − | 0.582255i | ||||
\(305\) | −15.3435 | + | 15.3435i | −0.878564 | + | 0.878564i | ||||
\(306\) | 2.12996 | + | 0.570722i | 0.121762 | + | 0.0326260i | ||||
\(307\) | 14.8912 | − | 14.8912i | 0.849885 | − | 0.849885i | −0.140234 | − | 0.990118i | \(-0.544785\pi\) |
0.990118 | + | 0.140234i | \(0.0447854\pi\) | |||||||
\(308\) | −4.57740 | − | 10.1702i | −0.260821 | − | 0.579503i | ||||
\(309\) | 5.00937 | − | 2.89216i | 0.284973 | − | 0.164529i | ||||
\(310\) | 2.69215 | + | 2.69215i | 0.152904 | + | 0.152904i | ||||
\(311\) | −10.6266 | − | 18.4058i | −0.602580 | − | 1.04370i | −0.992429 | − | 0.122820i | \(-0.960806\pi\) |
0.389849 | − | 0.920879i | \(-0.372527\pi\) | |||||||
\(312\) | −7.92276 | + | 2.99905i | −0.448538 | + | 0.169788i | ||||
\(313\) | 4.47455 | + | 2.58338i | 0.252916 | + | 0.146021i | 0.621099 | − | 0.783732i | \(-0.286687\pi\) |
−0.368183 | + | 0.929754i | \(0.620020\pi\) | |||||||
\(314\) | 2.96162 | − | 11.0529i | 0.167134 | − | 0.623752i | ||||
\(315\) | 8.48882 | + | 6.11525i | 0.478291 | + | 0.344555i | ||||
\(316\) | −18.2300 | − | 10.5251i | −1.02552 | − | 0.592082i | ||||
\(317\) | 1.63753 | + | 6.11134i | 0.0919728 | + | 0.343247i | 0.996543 | − | 0.0830772i | \(-0.0264748\pi\) |
−0.904570 | + | 0.426325i | \(0.859808\pi\) | |||||||
\(318\) | 3.63539 | + | 3.63539i | 0.203862 | + | 0.203862i | ||||
\(319\) | −7.45887 | − | 7.45887i | −0.417616 | − | 0.417616i | ||||
\(320\) | −0.631036 | − | 2.35506i | −0.0352760 | − | 0.131652i | ||||
\(321\) | 5.86241 | + | 3.38467i | 0.327208 | + | 0.188914i | ||||
\(322\) | 9.24262 | + | 6.65828i | 0.515071 | + | 0.371051i | ||||
\(323\) | −5.74870 | + | 21.4545i | −0.319866 | + | 1.19376i | ||||
\(324\) | −1.35607 | − | 0.782925i | −0.0753370 | − | 0.0434958i | ||||
\(325\) | 22.3975 | + | 31.1310i | 1.24239 | + | 1.72684i | ||||
\(326\) | −7.82347 | − | 13.5506i | −0.433302 | − | 0.750501i | ||||
\(327\) | 2.94430 | + | 2.94430i | 0.162820 | + | 0.162820i | ||||
\(328\) | 5.63808 | − | 3.25515i | 0.311311 | − | 0.179736i | ||||
\(329\) | −1.98706 | − | 4.41492i | −0.109550 | − | 0.243402i | ||||
\(330\) | −4.95979 | + | 4.95979i | −0.273027 | + | 0.273027i | ||||
\(331\) | 5.28778 | + | 1.41686i | 0.290642 | + | 0.0778774i | 0.401194 | − | 0.915993i | \(-0.368595\pi\) |
−0.110552 | + | 0.993870i | \(0.535262\pi\) | |||||||
\(332\) | −0.760391 | + | 0.760391i | −0.0417319 | + | 0.0417319i | ||||
\(333\) | −0.542959 | + | 2.02635i | −0.0297540 | + | 0.111043i | ||||
\(334\) | 12.0390 | − | 6.95073i | 0.658746 | − | 0.380327i | ||||
\(335\) | 6.51850 | + | 11.2904i | 0.356144 | + | 0.616859i | ||||
\(336\) | 3.91752 | + | 1.48567i | 0.213718 | + | 0.0810497i | ||||
\(337\) | 23.5704i | 1.28396i | 0.766722 | + | 0.641980i | \(0.221887\pi\) | ||||
−0.766722 | + | 0.641980i | \(0.778113\pi\) | |||||||
\(338\) | −4.73186 | + | 7.14009i | −0.257379 | + | 0.388370i | ||||
\(339\) | −15.5646 | + | 8.98623i | −0.845353 | + | 0.488065i | ||||
\(340\) | −5.36323 | − | 20.0158i | −0.290862 | − | 1.08551i | ||||
\(341\) | − | 3.93378i | − | 0.213026i | ||||||
\(342\) | −2.18653 | + | 3.78718i | −0.118234 | + | 0.204787i | ||||
\(343\) | −16.3986 | + | 8.60739i | −0.885439 | + | 0.464755i | ||||
\(344\) | 6.61018 | + | 24.6695i | 0.356397 | + | 1.33009i | ||||
\(345\) | −6.68754 | + | 24.9583i | −0.360045 | + | 1.34371i | ||||
\(346\) | −10.1521 | − | 2.72026i | −0.545783 | − | 0.146242i | ||||
\(347\) | 17.0371 | 0.914600 | 0.457300 | − | 0.889313i | \(-0.348817\pi\) | ||||
0.457300 | + | 0.889313i | \(0.348817\pi\) | |||||||
\(348\) | 6.13551 | 0.328898 | ||||||||
\(349\) | 16.3863 | + | 4.39071i | 0.877140 | + | 0.235029i | 0.669173 | − | 0.743107i | \(-0.266649\pi\) |
0.207967 | + | 0.978136i | \(0.433315\pi\) | |||||||
\(350\) | −1.86372 | + | 18.4488i | −0.0996202 | + | 0.986129i | ||||
\(351\) | −3.58751 | + | 0.360197i | −0.191487 | + | 0.0192259i | ||||
\(352\) | −7.72963 | + | 13.3881i | −0.411990 | + | 0.713588i | ||||
\(353\) | −33.5283 | + | 8.98387i | −1.78453 | + | 0.478163i | −0.991397 | − | 0.130887i | \(-0.958217\pi\) |
−0.793132 | + | 0.609050i | \(0.791551\pi\) | |||||||
\(354\) | −0.195808 | + | 0.339150i | −0.0104071 | + | 0.0180256i | ||||
\(355\) | 4.81214 | + | 8.33487i | 0.255402 | + | 0.442369i | ||||
\(356\) | 9.09389 | + | 9.09389i | 0.481975 | + | 0.481975i | ||||
\(357\) | −8.27901 | − | 3.13970i | −0.438172 | − | 0.166171i | ||||
\(358\) | −1.83880 | + | 0.492704i | −0.0971835 | + | 0.0260402i | ||||
\(359\) | −16.1282 | + | 4.32153i | −0.851212 | + | 0.228081i | −0.657946 | − | 0.753065i | \(-0.728575\pi\) |
−0.193266 | + | 0.981146i | \(0.561908\pi\) | |||||||
\(360\) | − | 9.29083i | − | 0.489670i | ||||||
\(361\) | −21.6926 | − | 12.5242i | −1.14171 | − | 0.659169i | ||||
\(362\) | 7.46275 | − | 7.46275i | 0.392233 | − | 0.392233i | ||||
\(363\) | −3.75274 | −0.196968 | ||||||||
\(364\) | 14.4306 | − | 3.85721i | 0.756371 | − | 0.202173i | ||||
\(365\) | 10.2394 | 0.535956 | ||||||||
\(366\) | 2.55666 | − | 2.55666i | 0.133639 | − | 0.133639i | ||||
\(367\) | −3.39078 | − | 1.95767i | −0.176997 | − | 0.102189i | 0.408884 | − | 0.912586i | \(-0.365918\pi\) |
−0.585881 | + | 0.810397i | \(0.699251\pi\) | |||||||
\(368\) | 10.3476i | 0.539407i | ||||||||
\(369\) | 2.67647 | − | 0.717157i | 0.139331 | − | 0.0373337i | ||||
\(370\) | −5.27966 | + | 1.41468i | −0.274476 | + | 0.0735458i | ||||
\(371\) | −13.0564 | − | 15.9908i | −0.677855 | − | 0.830201i | ||||
\(372\) | 1.61792 | + | 1.61792i | 0.0838854 | + | 0.0838854i | ||||
\(373\) | 14.2114 | + | 24.6148i | 0.735836 | + | 1.27451i | 0.954356 | + | 0.298673i | \(0.0965439\pi\) |
−0.218520 | + | 0.975833i | \(0.570123\pi\) | |||||||
\(374\) | 2.96815 | − | 5.14098i | 0.153479 | − | 0.265834i | ||||
\(375\) | −21.5295 | + | 5.76880i | −1.11178 | + | 0.297900i | ||||
\(376\) | −2.14972 | + | 3.72342i | −0.110863 | + | 0.192021i | ||||
\(377\) | 11.4681 | − | 8.25081i | 0.590637 | − | 0.424938i | ||||
\(378\) | −1.41448 | − | 1.01897i | −0.0727529 | − | 0.0524103i | ||||
\(379\) | 13.2091 | + | 3.53938i | 0.678508 | + | 0.181806i | 0.581584 | − | 0.813486i | \(-0.302433\pi\) |
0.0969237 | + | 0.995292i | \(0.469100\pi\) | |||||||
\(380\) | 41.0948 | 2.10812 | ||||||||
\(381\) | 12.1400 | 0.621951 | ||||||||
\(382\) | −13.6032 | − | 3.64496i | −0.695999 | − | 0.186492i | ||||
\(383\) | −7.85471 | + | 29.3142i | −0.401357 | + | 1.49789i | 0.409320 | + | 0.912391i | \(0.365766\pi\) |
−0.810677 | + | 0.585494i | \(0.800901\pi\) | |||||||
\(384\) | −2.86739 | − | 10.7013i | −0.146326 | − | 0.546096i | ||||
\(385\) | 21.8164 | − | 17.8130i | 1.11187 | − | 0.907834i | ||||
\(386\) | 3.06517 | − | 5.30903i | 0.156013 | − | 0.270222i | ||||
\(387\) | 10.8701i | 0.552559i | ||||||||
\(388\) | −3.09357 | − | 11.5454i | −0.157052 | − | 0.586127i | ||||
\(389\) | −15.8430 | + | 9.14693i | −0.803270 | + | 0.463768i | −0.844613 | − | 0.535377i | \(-0.820170\pi\) |
0.0413436 | + | 0.999145i | \(0.486836\pi\) | |||||||
\(390\) | −5.48640 | − | 7.62573i | −0.277815 | − | 0.386144i | ||||
\(391\) | − | 21.8679i | − | 1.10591i | ||||||
\(392\) | 14.7140 | + | 7.34804i | 0.743172 | + | 0.371132i | ||||
\(393\) | −6.97154 | − | 12.0751i | −0.351668 | − | 0.609107i | ||||
\(394\) | −1.68285 | + | 0.971593i | −0.0847806 | + | 0.0489481i | ||||
\(395\) | 13.7586 | − | 51.3476i | 0.692268 | − | 2.58358i | ||||
\(396\) | −2.98073 | + | 2.98073i | −0.149787 | + | 0.149787i | ||||
\(397\) | −2.24081 | − | 0.600424i | −0.112463 | − | 0.0301344i | 0.202149 | − | 0.979355i | \(-0.435208\pi\) |
−0.314612 | + | 0.949220i | \(0.601874\pi\) | |||||||
\(398\) | −2.63096 | + | 2.63096i | −0.131878 | + | 0.131878i | ||||
\(399\) | 10.2638 | − | 14.2476i | 0.513832 | − | 0.713271i | ||||
\(400\) | −14.5873 | + | 8.42198i | −0.729365 | + | 0.421099i | ||||
\(401\) | −9.50376 | − | 9.50376i | −0.474595 | − | 0.474595i | 0.428803 | − | 0.903398i | \(-0.358936\pi\) |
−0.903398 | + | 0.428803i | \(0.858936\pi\) | |||||||
\(402\) | −1.08617 | − | 1.88130i | −0.0541731 | − | 0.0938305i | ||||
\(403\) | 5.19983 | + | 0.848389i | 0.259022 | + | 0.0422613i | ||||
\(404\) | −18.3895 | − | 10.6172i | −0.914911 | − | 0.528224i | ||||
\(405\) | 1.02345 | − | 3.81958i | 0.0508557 | − | 0.189796i | ||||
\(406\) | 6.79618 | + | 0.686561i | 0.337289 | + | 0.0340734i | ||||
\(407\) | 4.89089 | + | 2.82376i | 0.242433 | + | 0.139969i | ||||
\(408\) | 2.03511 | + | 7.59513i | 0.100753 | + | 0.376015i | ||||
\(409\) | −14.4716 | − | 14.4716i | −0.715573 | − | 0.715573i | 0.252122 | − | 0.967695i | \(-0.418872\pi\) |
−0.967695 | + | 0.252122i | \(0.918872\pi\) | |||||||
\(410\) | 5.10498 | + | 5.10498i | 0.252117 | + | 0.252117i | ||||
\(411\) | 4.02872 | + | 15.0354i | 0.198722 | + | 0.741641i | ||||
\(412\) | 7.84392 | + | 4.52869i | 0.386442 | + | 0.223113i | ||||
\(413\) | 0.919145 | − | 1.27590i | 0.0452281 | − | 0.0627830i | ||||
\(414\) | 1.11433 | − | 4.15875i | 0.0547665 | − | 0.204392i | ||||
\(415\) | −2.35182 | − | 1.35782i | −0.115446 | − | 0.0666529i | ||||
\(416\) | −16.0299 | − | 13.1047i | −0.785933 | − | 0.642513i | ||||
\(417\) | −7.31710 | − | 12.6736i | −0.358320 | − | 0.620629i | ||||
\(418\) | 8.32448 | + | 8.32448i | 0.407164 | + | 0.407164i | ||||
\(419\) | −25.2902 | + | 14.6013i | −1.23551 | + | 0.713321i | −0.968173 | − | 0.250282i | \(-0.919477\pi\) |
−0.267336 | + | 0.963604i | \(0.586143\pi\) | |||||||
\(420\) | −1.64657 | + | 16.2992i | −0.0803442 | + | 0.795318i | ||||
\(421\) | −27.2327 | + | 27.2327i | −1.32724 | + | 1.32724i | −0.419470 | + | 0.907769i | \(0.637784\pi\) |
−0.907769 | + | 0.419470i | \(0.862216\pi\) | |||||||
\(422\) | 5.55181 | + | 1.48760i | 0.270258 | + | 0.0724154i | ||||
\(423\) | −1.29394 | + | 1.29394i | −0.0629134 | + | 0.0629134i | ||||
\(424\) | −4.74488 | + | 17.7081i | −0.230432 | + | 0.859982i | ||||
\(425\) | 30.8278 | − | 17.7984i | 1.49537 | − | 0.863351i | ||||
\(426\) | −0.801839 | − | 1.38883i | −0.0388492 | − | 0.0672888i | ||||
\(427\) | −11.2458 | + | 9.18218i | −0.544225 | + | 0.444357i | ||||
\(428\) | 10.5998i | 0.512358i | ||||||||
\(429\) | −1.56300 | + | 9.57974i | −0.0754624 | + | 0.462514i | ||||
\(430\) | −24.5277 | + | 14.1610i | −1.18283 | + | 0.682906i | ||||
\(431\) | −2.22337 | − | 8.29771i | −0.107096 | − | 0.399687i | 0.891479 | − | 0.453063i | \(-0.149669\pi\) |
−0.998575 | + | 0.0533757i | \(0.983002\pi\) | |||||||
\(432\) | − | 1.58358i | − | 0.0761902i | ||||||
\(433\) | −7.61560 | + | 13.1906i | −0.365983 | + | 0.633900i | −0.988933 | − | 0.148361i | \(-0.952600\pi\) |
0.622951 | + | 0.782261i | \(0.285934\pi\) | |||||||
\(434\) | 1.61110 | + | 1.97318i | 0.0773351 | + | 0.0947159i | ||||
\(435\) | 4.01022 | + | 14.9664i | 0.192275 | + | 0.717582i | ||||
\(436\) | −1.68750 | + | 6.29784i | −0.0808166 | + | 0.301612i | ||||
\(437\) | 41.8898 | + | 11.2243i | 2.00386 | + | 0.536933i | ||||
\(438\) | −1.70618 | −0.0815243 | ||||||||
\(439\) | −2.86626 | −0.136799 | −0.0683996 | − | 0.997658i | \(-0.521789\pi\) | ||||
−0.0683996 | + | 0.997658i | \(0.521789\pi\) | |||||||
\(440\) | −24.1593 | − | 6.47348i | −1.15175 | − | 0.308611i | ||||
\(441\) | 5.23969 | + | 4.64173i | 0.249509 | + | 0.221035i | ||||
\(442\) | 6.15544 | + | 5.03217i | 0.292784 | + | 0.239356i | ||||
\(443\) | 10.5160 | − | 18.2142i | 0.499628 | − | 0.865382i | −0.500372 | − | 0.865811i | \(-0.666803\pi\) |
1.00000 | 0.000429119i | \(0.000136593\pi\) | ||||||||
\(444\) | −3.17296 | + | 0.850192i | −0.150582 | + | 0.0403483i | ||||
\(445\) | −16.2389 | + | 28.1266i | −0.769797 | + | 1.33333i | ||||
\(446\) | −3.31877 | − | 5.74828i | −0.157148 | − | 0.272189i | ||||
\(447\) | −1.98626 | − | 1.98626i | −0.0939468 | − | 0.0939468i | ||||
\(448\) | −0.261699 | − | 1.61018i | −0.0123641 | − | 0.0760737i | ||||
\(449\) | 6.15599 | − | 1.64949i | 0.290519 | − | 0.0778444i | −0.110616 | − | 0.993863i | \(-0.535282\pi\) |
0.401135 | + | 0.916019i | \(0.368616\pi\) | |||||||
\(450\) | 6.76967 | − | 1.81393i | 0.319125 | − | 0.0855093i | ||||
\(451\) | − | 7.45941i | − | 0.351250i | ||||||
\(452\) | −24.3718 | − | 14.0711i | −1.14635 | − | 0.661848i | ||||
\(453\) | 5.96353 | − | 5.96353i | 0.280191 | − | 0.280191i | ||||
\(454\) | −2.87479 | −0.134920 | ||||||||
\(455\) | 18.8409 | + | 32.6796i | 0.883274 | + | 1.53204i | ||||
\(456\) | −15.5937 | −0.730241 | ||||||||
\(457\) | −11.3160 | + | 11.3160i | −0.529342 | + | 0.529342i | −0.920376 | − | 0.391034i | \(-0.872117\pi\) |
0.391034 | + | 0.920376i | \(0.372117\pi\) | |||||||
\(458\) | 9.63248 | + | 5.56131i | 0.450096 | + | 0.259863i | ||||
\(459\) | 3.34664i | 0.156208i | ||||||||
\(460\) | −39.0809 | + | 10.4717i | −1.82216 | + | 0.488245i | ||||
\(461\) | 29.9787 | − | 8.03276i | 1.39625 | − | 0.374123i | 0.519250 | − | 0.854622i | \(-0.326211\pi\) |
0.876995 | + | 0.480499i | \(0.159545\pi\) | |||||||
\(462\) | −3.63523 | + | 2.96815i | −0.169126 | + | 0.138091i | ||||
\(463\) | −2.20061 | − | 2.20061i | −0.102271 | − | 0.102271i | 0.654120 | − | 0.756391i | \(-0.273039\pi\) |
−0.756391 | + | 0.654120i | \(0.773039\pi\) | |||||||
\(464\) | 3.10250 | + | 5.37369i | 0.144030 | + | 0.249467i | ||||
\(465\) | −2.88911 | + | 5.00408i | −0.133979 | + | 0.232059i | ||||
\(466\) | 2.23590 | − | 0.599107i | 0.103576 | − | 0.0277531i | ||||
\(467\) | −2.25883 | + | 3.91240i | −0.104526 | + | 0.181044i | −0.913544 | − | 0.406739i | \(-0.866666\pi\) |
0.809018 | + | 0.587783i | \(0.199999\pi\) | |||||||
\(468\) | −3.29720 | − | 4.58290i | −0.152413 | − | 0.211845i | ||||
\(469\) | 3.58004 | + | 7.95426i | 0.165311 | + | 0.367294i | ||||
\(470\) | −4.60536 | − | 1.23400i | −0.212430 | − | 0.0569203i | ||||
\(471\) | 17.3665 | 0.800207 | ||||||||
\(472\) | −1.39645 | −0.0642767 | ||||||||
\(473\) | 28.2660 | + | 7.57386i | 1.29967 | + | 0.348246i | ||||
\(474\) | −2.29256 | + | 8.55597i | −0.105301 | + | 0.392989i | ||||
\(475\) | 18.2711 | + | 68.1887i | 0.838336 | + | 3.12871i | ||||
\(476\) | −2.22421 | − | 13.6850i | −0.101946 | − | 0.627253i | ||||
\(477\) | −3.90136 | + | 6.75735i | −0.178631 | + | 0.309398i | ||||
\(478\) | − | 14.0311i | − | 0.641768i | ||||||
\(479\) | 8.06385 | + | 30.0947i | 0.368447 | + | 1.37506i | 0.862688 | + | 0.505737i | \(0.168779\pi\) |
−0.494241 | + | 0.869325i | \(0.664554\pi\) | |||||||
\(480\) | 19.6654 | − | 11.3538i | 0.897600 | − | 0.518230i | ||||
\(481\) | −4.78738 | + | 5.85600i | −0.218286 | + | 0.267011i | ||||
\(482\) | − | 7.24583i | − | 0.330038i | ||||||
\(483\) | −6.13026 | + | 16.1648i | −0.278937 | + | 0.735522i | ||||
\(484\) | −2.93811 | − | 5.08896i | −0.133551 | − | 0.231316i | ||||
\(485\) | 26.1406 | − | 15.0923i | 1.18698 | − | 0.685306i | ||||
\(486\) | −0.170536 | + | 0.636449i | −0.00773567 | + | 0.0288699i | ||||
\(487\) | 6.77624 | − | 6.77624i | 0.307061 | − | 0.307061i | −0.536708 | − | 0.843768i | \(-0.680332\pi\) |
0.843768 | + | 0.536708i | \(0.180332\pi\) | |||||||
\(488\) | 12.4536 | + | 3.33693i | 0.563747 | + | 0.151056i | ||||
\(489\) | 16.7917 | − | 16.7917i | 0.759346 | − | 0.759346i | ||||
\(490\) | −3.64774 | + | 17.8700i | −0.164788 | + | 0.807285i | ||||
\(491\) | −0.411322 | + | 0.237477i | −0.0185627 | + | 0.0107172i | −0.509253 | − | 0.860617i | \(-0.670078\pi\) |
0.490690 | + | 0.871334i | \(0.336745\pi\) | |||||||
\(492\) | 3.06798 | + | 3.06798i | 0.138315 | + | 0.138315i | ||||
\(493\) | −6.55661 | − | 11.3564i | −0.295295 | − | 0.511466i | ||||
\(494\) | −12.7990 | + | 9.20834i | −0.575853 | + | 0.414303i | ||||
\(495\) | −9.21911 | − | 5.32265i | −0.414368 | − | 0.239236i | ||||
\(496\) | −0.598908 | + | 2.23515i | −0.0268918 | + | 0.100361i | ||||
\(497\) | 2.64289 | + | 5.87206i | 0.118550 | + | 0.263398i | ||||
\(498\) | 0.391880 | + | 0.226252i | 0.0175605 | + | 0.0101386i | ||||
\(499\) | −0.915629 | − | 3.41717i | −0.0409892 | − | 0.152974i | 0.942398 | − | 0.334493i | \(-0.108565\pi\) |
−0.983387 | + | 0.181520i | \(0.941898\pi\) | |||||||
\(500\) | −24.6788 | − | 24.6788i | −1.10367 | − | 1.10367i | ||||
\(501\) | 14.9185 | + | 14.9185i | 0.666509 | + | 0.666509i | ||||
\(502\) | −3.76148 | − | 14.0380i | −0.167883 | − | 0.626548i | ||||
\(503\) | 10.2816 | + | 5.93609i | 0.458434 | + | 0.264677i | 0.711386 | − | 0.702802i | \(-0.248068\pi\) |
−0.252951 | + | 0.967479i | \(0.581401\pi\) | |||||||
\(504\) | 0.624800 | − | 6.18482i | 0.0278308 | − | 0.275494i | ||||
\(505\) | 13.8789 | − | 51.7969i | 0.617605 | − | 2.30493i | ||||
\(506\) | −10.0378 | − | 5.79530i | −0.446233 | − | 0.257633i | ||||
\(507\) | −12.3258 | − | 4.13208i | −0.547409 | − | 0.183512i | ||||
\(508\) | 9.50471 | + | 16.4626i | 0.421703 | + | 0.730411i | ||||
\(509\) | −8.27892 | − | 8.27892i | −0.366957 | − | 0.366957i | 0.499409 | − | 0.866366i | \(-0.333550\pi\) |
−0.866366 | + | 0.499409i | \(0.833550\pi\) | |||||||
\(510\) | −7.55145 | + | 4.35983i | −0.334384 | + | 0.193057i | ||||
\(511\) | 6.81629 | + | 0.688592i | 0.301535 | + | 0.0304615i | ||||
\(512\) | 11.6921 | − | 11.6921i | 0.516723 | − | 0.516723i | ||||
\(513\) | −6.41075 | − | 1.71776i | −0.283042 | − | 0.0758408i | ||||
\(514\) | 3.09361 | − | 3.09361i | 0.136453 | − | 0.136453i | ||||
\(515\) | −5.91998 | + | 22.0937i | −0.260865 | + | 0.973563i | ||||
\(516\) | −14.7406 | + | 8.51048i | −0.648918 | + | 0.374653i | ||||
\(517\) | 2.46312 | + | 4.26625i | 0.108328 | + | 0.187629i | ||||
\(518\) | −3.60976 | + | 0.586688i | −0.158604 | + | 0.0257776i | ||||
\(519\) | − | 15.9512i | − | 0.700181i | ||||||
\(520\) | 13.7673 | − | 30.5387i | 0.603737 | − | 1.33921i | ||||
\(521\) | 11.1559 | − | 6.44088i | 0.488750 | − | 0.282180i | −0.235306 | − | 0.971921i | \(-0.575609\pi\) |
0.724056 | + | 0.689741i | \(0.242276\pi\) | |||||||
\(522\) | −0.668217 | − | 2.49382i | −0.0292470 | − | 0.109151i | ||||
\(523\) | − | 38.5009i | − | 1.68353i | −0.539847 | − | 0.841763i | \(-0.681518\pi\) | ||
0.539847 | − | 0.841763i | \(-0.318482\pi\) | |||||||
\(524\) | 10.9164 | − | 18.9077i | 0.476885 | − | 0.825988i | ||||
\(525\) | −27.7773 | + | 4.51460i | −1.21230 | + | 0.197033i | ||||
\(526\) | 0.179417 | + | 0.669594i | 0.00782296 | + | 0.0291957i | ||||
\(527\) | 1.26569 | − | 4.72362i | 0.0551343 | − | 0.205764i | ||||
\(528\) | −4.11786 | − | 1.10338i | −0.179207 | − | 0.0480184i | ||||
\(529\) | −19.6971 | −0.856395 | ||||||||
\(530\) | −20.3300 | −0.883078 | ||||||||
\(531\) | −0.574097 | − | 0.153829i | −0.0249137 | − | 0.00667560i | ||||
\(532\) | 27.3564 | + | 2.76359i | 1.18605 | + | 0.119817i | ||||
\(533\) | 9.86018 | + | 1.60876i | 0.427092 | + | 0.0696829i | ||||
\(534\) | 2.70586 | − | 4.68668i | 0.117094 | − | 0.202813i | ||||
\(535\) | −25.8560 | + | 6.92809i | −1.11785 | + | 0.299527i | ||||
\(536\) | 3.87311 | − | 6.70842i | 0.167293 | − | 0.289759i | ||||
\(537\) | −1.44457 | − | 2.50208i | −0.0623380 | − | 0.107973i | ||||
\(538\) | −3.25291 | − | 3.25291i | −0.140243 | − | 0.140243i | ||||
\(539\) | 15.7209 | − | 10.3908i | 0.677147 | − | 0.447564i | ||||
\(540\) | 5.98088 | − | 1.60257i | 0.257376 | − | 0.0689637i | ||||
\(541\) | −0.150417 | + | 0.0403040i | −0.00646691 | + | 0.00173280i | −0.262051 | − | 0.965054i | \(-0.584399\pi\) |
0.255584 | + | 0.966787i | \(0.417732\pi\) | |||||||
\(542\) | − | 16.6771i | − | 0.716341i | ||||||
\(543\) | 13.8715 | + | 8.00873i | 0.595284 | + | 0.343687i | ||||
\(544\) | −13.5892 | + | 13.5892i | −0.582634 | + | 0.582634i | ||||
\(545\) | −16.4653 | −0.705295 | ||||||||
\(546\) | −3.13942 | − | 5.44534i | −0.134355 | − | 0.233039i | ||||
\(547\) | 43.5439 | 1.86180 | 0.930902 | − | 0.365270i | \(-0.119023\pi\) | ||||
0.930902 | + | 0.365270i | \(0.119023\pi\) | |||||||
\(548\) | −17.2348 | + | 17.2348i | −0.736233 | + | 0.736233i | ||||
\(549\) | 4.75223 | + | 2.74370i | 0.202820 | + | 0.117098i | ||||
\(550\) | − | 18.8673i | − | 0.804505i | ||||||
\(551\) | 25.1194 | − | 6.73073i | 1.07012 | − | 0.286739i | ||||
\(552\) | 14.8295 | − | 3.97355i | 0.631185 | − | 0.169125i | ||||
\(553\) | 12.6120 | − | 33.2564i | 0.536318 | − | 1.41421i | ||||
\(554\) | 12.1649 | + | 12.1649i | 0.516837 | + | 0.516837i | ||||
\(555\) | −4.14775 | − | 7.18411i | −0.176062 | − | 0.304948i | ||||
\(556\) | 11.4575 | − | 19.8449i | 0.485905 | − | 0.841613i | ||||
\(557\) | 19.0951 | − | 5.11653i | 0.809087 | − | 0.216794i | 0.169517 | − | 0.985527i | \(-0.445779\pi\) |
0.639570 | + | 0.768733i | \(0.279113\pi\) | |||||||
\(558\) | 0.481407 | − | 0.833822i | 0.0203796 | − | 0.0352985i | ||||
\(559\) | −16.1075 | + | 35.7298i | −0.681275 | + | 1.51121i | ||||
\(560\) | −15.1080 | + | 6.79977i | −0.638428 | + | 0.287343i | ||||
\(561\) | 8.70240 | + | 2.33180i | 0.367416 | + | 0.0984487i | ||||
\(562\) | −12.1234 | −0.511394 | ||||||||
\(563\) | −18.4608 | −0.778031 | −0.389016 | − | 0.921231i | \(-0.627185\pi\) | ||||
−0.389016 | + | 0.921231i | \(0.627185\pi\) | |||||||
\(564\) | −2.76772 | − | 0.741609i | −0.116542 | − | 0.0312274i | ||||
\(565\) | 18.3940 | − | 68.6472i | 0.773840 | − | 2.88801i | ||||
\(566\) | 1.07388 | + | 4.00778i | 0.0451386 | + | 0.168460i | ||||
\(567\) | 0.938166 | − | 2.47383i | 0.0393993 | − | 0.103891i | ||||
\(568\) | 2.85924 | − | 4.95234i | 0.119971 | − | 0.207796i | ||||
\(569\) | − | 24.4291i | − | 1.02412i | −0.858949 | − | 0.512061i | \(-0.828882\pi\) | ||
0.858949 | − | 0.512061i | \(-0.171118\pi\) | |||||||
\(570\) | −4.47562 | − | 16.7032i | −0.187463 | − | 0.699621i | ||||
\(571\) | −4.47758 | + | 2.58513i | −0.187381 | + | 0.108184i | −0.590756 | − | 0.806850i | \(-0.701170\pi\) |
0.403375 | + | 0.915035i | \(0.367837\pi\) | |||||||
\(572\) | −14.2145 | + | 5.38068i | −0.594337 | + | 0.224978i | ||||
\(573\) | − | 21.3735i | − | 0.892892i | ||||||
\(574\) | 3.05504 | + | 3.74165i | 0.127515 | + | 0.156173i | ||||
\(575\) | −34.7514 | − | 60.1912i | −1.44923 | − | 2.51015i | ||||
\(576\) | −0.533970 | + | 0.308288i | −0.0222488 | + | 0.0128453i | ||||
\(577\) | 3.87429 | − | 14.4591i | 0.161289 | − | 0.601939i | −0.837195 | − | 0.546904i | \(-0.815806\pi\) |
0.998484 | − | 0.0550348i | \(-0.0175270\pi\) | |||||||
\(578\) | −2.70231 | + | 2.70231i | −0.112401 | + | 0.112401i | ||||
\(579\) | 8.98686 | + | 2.40802i | 0.373481 | + | 0.100074i | ||||
\(580\) | −17.1557 | + | 17.1557i | −0.712350 | + | 0.712350i | ||||
\(581\) | −1.47427 | − | 1.06205i | −0.0611632 | − | 0.0440612i | ||||
\(582\) | −4.35577 | + | 2.51480i | −0.180552 | + | 0.104242i | ||||
\(583\) | 14.8531 | + | 14.8531i | 0.615153 | + | 0.615153i | ||||
\(584\) | −3.04199 | − | 5.26888i | −0.125878 | − | 0.218028i | ||||
\(585\) | 9.02398 | − | 11.0383i | 0.373096 | − | 0.456377i | ||||
\(586\) | −6.77876 | − | 3.91372i | −0.280028 | − | 0.161674i | ||||
\(587\) | −6.32266 | + | 23.5965i | −0.260964 | + | 0.973931i | 0.703710 | + | 0.710487i | \(0.251525\pi\) |
−0.964675 | + | 0.263444i | \(0.915141\pi\) | |||||||
\(588\) | −2.19221 | + | 10.7395i | −0.0904052 | + | 0.442889i | ||||
\(589\) | 8.39882 | + | 4.84906i | 0.346068 | + | 0.199802i | ||||
\(590\) | −0.400801 | − | 1.49581i | −0.0165007 | − | 0.0615815i | ||||
\(591\) | −2.08535 | − | 2.08535i | −0.0857799 | − | 0.0857799i | ||||
\(592\) | −2.34908 | − | 2.34908i | −0.0965464 | − | 0.0965464i | ||||
\(593\) | 10.0617 | + | 37.5507i | 0.413184 | + | 1.54202i | 0.788446 | + | 0.615105i | \(0.210886\pi\) |
−0.375262 | + | 0.926919i | \(0.622447\pi\) | |||||||
\(594\) | 1.53616 | + | 0.886905i | 0.0630296 | + | 0.0363901i | ||||
\(595\) | 31.9281 | − | 14.3702i | 1.30893 | − | 0.589119i | ||||
\(596\) | 1.13841 | − | 4.24859i | 0.0466309 | − | 0.174029i | ||||
\(597\) | −4.89035 | − | 2.82344i | −0.200149 | − | 0.115556i | ||||
\(598\) | 9.82530 | − | 12.0185i | 0.401787 | − | 0.491472i | ||||
\(599\) | −9.62419 | − | 16.6696i | −0.393234 | − | 0.681101i | 0.599640 | − | 0.800270i | \(-0.295310\pi\) |
−0.992874 | + | 0.119169i | \(0.961977\pi\) | |||||||
\(600\) | 17.6714 | + | 17.6714i | 0.721433 | + | 0.721433i | ||||
\(601\) | 29.6061 | − | 17.0931i | 1.20766 | − | 0.697243i | 0.245412 | − | 0.969419i | \(-0.421077\pi\) |
0.962247 | + | 0.272176i | \(0.0877434\pi\) | |||||||
\(602\) | −17.2802 | + | 7.77742i | −0.704287 | + | 0.316984i | ||||
\(603\) | 2.33126 | − | 2.33126i | 0.0949364 | − | 0.0949364i | ||||
\(604\) | 12.7559 | + | 3.41794i | 0.519031 | + | 0.139074i | ||||
\(605\) | 10.4931 | − | 10.4931i | 0.426606 | − | 0.426606i | ||||
\(606\) | −2.31262 | + | 8.63083i | −0.0939440 | + | 0.350604i | ||||
\(607\) | −26.1668 | + | 15.1074i | −1.06208 | + | 0.613191i | −0.926006 | − | 0.377508i | \(-0.876781\pi\) |
−0.136071 | + | 0.990699i | \(0.543448\pi\) | |||||||
\(608\) | −19.0562 | − | 33.0063i | −0.772832 | − | 1.33858i | ||||
\(609\) | 1.66310 | + | 10.2327i | 0.0673920 | + | 0.414648i | ||||
\(610\) | 14.2974i | 0.578887i | ||||||||
\(611\) | −6.17053 | + | 2.33576i | −0.249633 | + | 0.0944949i | ||||
\(612\) | −4.53826 | + | 2.62016i | −0.183448 | + | 0.105914i | ||||
\(613\) | −2.16481 | − | 8.07919i | −0.0874360 | − | 0.326316i | 0.908328 | − | 0.418258i | \(-0.137359\pi\) |
−0.995764 | + | 0.0919422i | \(0.970692\pi\) | |||||||
\(614\) | − | 13.8760i | − | 0.559990i | ||||||
\(615\) | −5.47847 | + | 9.48899i | −0.220913 | + | 0.382633i | ||||
\(616\) | −15.6473 | − | 5.93403i | −0.630449 | − | 0.239089i | ||||
\(617\) | −7.87008 | − | 29.3715i | −0.316837 | − | 1.18245i | −0.922267 | − | 0.386554i | \(-0.873665\pi\) |
0.605429 | − | 0.795899i | \(-0.293002\pi\) | |||||||
\(618\) | 0.986436 | − | 3.68143i | 0.0396803 | − | 0.148089i | ||||
\(619\) | −8.20212 | − | 2.19775i | −0.329671 | − | 0.0883351i | 0.0901871 | − | 0.995925i | \(-0.471253\pi\) |
−0.419858 | + | 0.907590i | \(0.637920\pi\) | |||||||
\(620\) | −9.04782 | −0.363369 | ||||||||
\(621\) | 6.53430 | 0.262212 | ||||||||
\(622\) | −13.5266 | − | 3.62444i | −0.542367 | − | 0.145327i | ||||
\(623\) | −12.7016 | + | 17.6316i | −0.508878 | + | 0.706393i | ||||
\(624\) | 2.34658 | − | 5.20520i | 0.0939385 | − | 0.208375i | ||||
\(625\) | 17.4772 | − | 30.2714i | 0.699089 | − | 1.21086i | ||||
\(626\) | 3.28838 | − | 0.881119i | 0.131430 | − | 0.0352166i | ||||
\(627\) | −8.93351 | + | 15.4733i | −0.356770 | + | 0.617944i | ||||
\(628\) | 13.5967 | + | 23.5501i | 0.542567 | + | 0.939753i | ||||
\(629\) | 4.96437 | + | 4.96437i | 0.197942 | + | 0.197942i | ||||
\(630\) | 6.80423 | − | 1.10588i | 0.271087 | − | 0.0440593i | ||||
\(631\) | −32.0135 | + | 8.57800i | −1.27444 | + | 0.341485i | −0.831730 | − | 0.555180i | \(-0.812649\pi\) |
−0.442709 | + | 0.896665i | \(0.645983\pi\) | |||||||
\(632\) | −30.5093 | + | 8.17494i | −1.21359 | + | 0.325182i | ||||
\(633\) | 8.72310i | 0.346712i | ||||||||
\(634\) | 3.61030 | + | 2.08441i | 0.143383 | + | 0.0827825i | ||||
\(635\) | −33.9449 | + | 33.9449i | −1.34706 | + | 1.34706i | ||||
\(636\) | −12.2179 | −0.484470 | ||||||||
\(637\) | 10.3445 | + | 23.0215i | 0.409865 | + | 0.912146i | ||||
\(638\) | −6.95037 | −0.275168 | ||||||||
\(639\) | 1.72100 | − | 1.72100i | 0.0680819 | − | 0.0680819i | ||||
\(640\) | 37.9396 | + | 21.9044i | 1.49969 | + | 0.865849i | ||||
\(641\) | 1.08742i | 0.0429504i | 0.999769 | + | 0.0214752i | \(0.00683629\pi\) | ||||
−0.999769 | + | 0.0214752i | \(0.993164\pi\) | |||||||
\(642\) | 4.30834 | − | 1.15442i | 0.170036 | − | 0.0455611i | ||||
\(643\) | 22.6036 | − | 6.05661i | 0.891398 | − | 0.238849i | 0.216080 | − | 0.976376i | \(-0.430673\pi\) |
0.675318 | + | 0.737526i | \(0.264006\pi\) | |||||||
\(644\) | −26.7200 | + | 4.34276i | −1.05292 | + | 0.171129i | ||||
\(645\) | −30.3942 | − | 30.3942i | −1.19677 | − | 1.19677i | ||||
\(646\) | 7.31752 | + | 12.6743i | 0.287904 | + | 0.498664i | ||||
\(647\) | −2.47922 | + | 4.29413i | −0.0974681 | + | 0.168820i | −0.910636 | − | 0.413209i | \(-0.864408\pi\) |
0.813168 | + | 0.582029i | \(0.197741\pi\) | |||||||
\(648\) | −2.26948 | + | 0.608106i | −0.0891537 | + | 0.0238887i | ||||
\(649\) | −0.800015 | + | 1.38567i | −0.0314033 | + | 0.0543922i | ||||
\(650\) | 24.9396 | + | 4.06907i | 0.978213 | + | 0.159602i | ||||
\(651\) | −2.25978 | + | 3.13689i | −0.0885676 | + | 0.122944i | ||||
\(652\) | 35.9173 | + | 9.62400i | 1.40663 | + | 0.376905i | ||||
\(653\) | −27.1187 | −1.06124 | −0.530619 | − | 0.847610i | \(-0.678040\pi\) | ||||
−0.530619 | + | 0.847610i | \(0.678040\pi\) | |||||||
\(654\) | 2.74358 | 0.107282 | ||||||||
\(655\) | 53.2567 | + | 14.2701i | 2.08091 | + | 0.557578i | ||||
\(656\) | −1.13568 | + | 4.23841i | −0.0443408 | + | 0.165482i | ||||
\(657\) | −0.670194 | − | 2.50120i | −0.0261467 | − | 0.0975810i | ||||
\(658\) | −2.98276 | − | 1.13117i | −0.116280 | − | 0.0440977i | ||||
\(659\) | 2.99955 | − | 5.19537i | 0.116846 | − | 0.202383i | −0.801670 | − | 0.597766i | \(-0.796055\pi\) |
0.918516 | + | 0.395384i | \(0.129388\pi\) | |||||||
\(660\) | − | 16.6690i | − | 0.648838i | ||||||
\(661\) | −6.77360 | − | 25.2794i | −0.263463 | − | 0.983256i | −0.963185 | − | 0.268841i | \(-0.913359\pi\) |
0.699722 | − | 0.714415i | \(-0.253307\pi\) | |||||||
\(662\) | 3.12378 | − | 1.80351i | 0.121409 | − | 0.0700955i | ||||
\(663\) | −4.95910 | + | 11.0003i | −0.192596 | + | 0.427217i | ||||
\(664\) | 1.61356i | 0.0626183i | ||||||||
\(665\) | 11.1392 | + | 68.5368i | 0.431959 | + | 2.65774i | ||||
\(666\) | 0.691132 | + | 1.19708i | 0.0267808 | + | 0.0463857i | ||||
\(667\) | −22.1733 | + | 12.8018i | −0.858554 | + | 0.495687i | ||||
\(668\) | −8.55040 | + | 31.9105i | −0.330825 | + | 1.23466i | ||||
\(669\) | 7.12315 | − | 7.12315i | 0.275397 | − | 0.275397i | ||||
\(670\) | 8.29739 | + | 2.22328i | 0.320556 | + | 0.0858927i | ||||
\(671\) | 10.4457 | − | 10.4457i | 0.403253 | − | 0.403253i | ||||
\(672\) | 13.8546 | − | 6.23567i | 0.534455 | − | 0.240546i | ||||
\(673\) | −32.5368 | + | 18.7852i | −1.25420 | + | 0.724114i | −0.971941 | − | 0.235223i | \(-0.924418\pi\) |
−0.282262 | + | 0.959337i | \(0.591085\pi\) | |||||||
\(674\) | 10.9817 | + | 10.9817i | 0.423001 | + | 0.423001i | ||||
\(675\) | 5.31831 | + | 9.21158i | 0.204702 | + | 0.354554i | ||||
\(676\) | −4.04682 | − | 19.9497i | −0.155647 | − | 0.767297i | ||||
\(677\) | 6.13983 | + | 3.54483i | 0.235973 | + | 0.136239i | 0.613324 | − | 0.789831i | \(-0.289832\pi\) |
−0.377352 | + | 0.926070i | \(0.623165\pi\) | |||||||
\(678\) | −3.06495 | + | 11.4386i | −0.117709 | + | 0.439295i | ||||
\(679\) | 18.4165 | − | 8.28888i | 0.706762 | − | 0.318098i | ||||
\(680\) | −26.9273 | − | 15.5465i | −1.03262 | − | 0.596181i | ||||
\(681\) | −1.12923 | − | 4.21434i | −0.0432721 | − | 0.161494i | ||||
\(682\) | −1.83280 | − | 1.83280i | −0.0701815 | − | 0.0701815i | ||||
\(683\) | 0.0180371 | + | 0.0180371i | 0.000690170 | + | 0.000690170i | 0.707452 | − | 0.706762i | \(-0.249845\pi\) |
−0.706762 | + | 0.707452i | \(0.749845\pi\) | |||||||
\(684\) | −2.68975 | − | 10.0383i | −0.102845 | − | 0.383823i | ||||
\(685\) | −53.3056 | − | 30.7760i | −2.03670 | − | 1.17589i | ||||
\(686\) | −3.63001 | + | 11.6506i | −0.138594 | + | 0.444822i | ||||
\(687\) | −4.36901 | + | 16.3054i | −0.166688 | + | 0.622089i | ||||
\(688\) | −14.9075 | − | 8.60687i | −0.568344 | − | 0.328134i | ||||
\(689\) | −22.8368 | + | 16.4301i | −0.870013 | + | 0.625939i | ||||
\(690\) | 8.51257 | + | 14.7442i | 0.324068 | + | 0.561302i | ||||
\(691\) | 8.23261 | + | 8.23261i | 0.313183 | + | 0.313183i | 0.846142 | − | 0.532958i | \(-0.178920\pi\) |
−0.532958 | + | 0.846142i | \(0.678920\pi\) | |||||||
\(692\) | 21.6309 | − | 12.4886i | 0.822284 | − | 0.474746i | ||||
\(693\) | −5.77914 | − | 4.16322i | −0.219531 | − | 0.158148i | ||||
\(694\) | 7.93781 | − | 7.93781i | 0.301315 | − | 0.301315i | ||||
\(695\) | 55.8965 | + | 14.9774i | 2.12027 | + | 0.568126i | ||||
\(696\) | 6.50982 | − | 6.50982i | 0.246754 | − | 0.246754i | ||||
\(697\) | 2.40006 | − | 8.95716i | 0.0909089 | − | 0.339276i | ||||
\(698\) | 9.68030 | − | 5.58892i | 0.366405 | − | 0.211544i | ||||
\(699\) | 1.75654 | + | 3.04241i | 0.0664384 | + | 0.115075i | ||||
\(700\) | −27.8697 | − | 34.1333i | −1.05337 | − | 1.29012i | ||||
\(701\) | 23.4707i | 0.886478i | 0.896404 | + | 0.443239i | \(0.146171\pi\) | ||||
−0.896404 | + | 0.443239i | \(0.853829\pi\) | |||||||
\(702\) | −1.50365 | + | 1.83929i | −0.0567516 | + | 0.0694196i | ||||
\(703\) | −12.0578 | + | 6.96155i | −0.454767 | + | 0.262560i | ||||
\(704\) | 0.429605 | + | 1.60331i | 0.0161914 | + | 0.0604270i | ||||
\(705\) | − | 7.23602i | − | 0.272524i | ||||||
\(706\) | −11.4356 | + | 19.8070i | −0.430383 | + | 0.745445i | ||||
\(707\) | 12.7224 | − | 33.5474i | 0.478475 | − | 1.26168i | ||||
\(708\) | −0.240873 | − | 0.898949i | −0.00905255 | − | 0.0337846i | ||||
\(709\) | 8.01632 | − | 29.9173i | 0.301059 | − | 1.12357i | −0.635225 | − | 0.772327i | \(-0.719093\pi\) |
0.936285 | − | 0.351242i | \(-0.114241\pi\) | |||||||
\(710\) | 6.12537 | + | 1.64129i | 0.229881 | + | 0.0615964i | ||||
\(711\) | −13.4433 | −0.504162 | ||||||||
\(712\) | 19.2974 | 0.723199 | ||||||||
\(713\) | −9.22286 | − | 2.47126i | −0.345399 | − | 0.0925493i | ||||
\(714\) | −5.32013 | + | 2.39447i | −0.199101 | + | 0.0896110i | ||||
\(715\) | −22.4158 | − | 31.1565i | −0.838303 | − | 1.16519i | ||||
\(716\) | 2.26199 | − | 3.91788i | 0.0845344 | − | 0.146418i | ||||
\(717\) | 20.5691 | − | 5.51148i | 0.768168 | − | 0.205830i | ||||
\(718\) | −5.50087 | + | 9.52778i | −0.205291 | + | 0.355574i | ||||
\(719\) | 9.21852 | + | 15.9669i | 0.343793 | + | 0.595466i | 0.985134 | − | 0.171790i | \(-0.0549549\pi\) |
−0.641341 | + | 0.767256i | \(0.721622\pi\) | |||||||
\(720\) | 4.42790 | + | 4.42790i | 0.165018 | + | 0.165018i | ||||
\(721\) | −5.42666 | + | 14.3094i | −0.202099 | + | 0.532912i | ||||
\(722\) | −15.9421 | + | 4.27166i | −0.593302 | + | 0.158975i | ||||
\(723\) | 10.6221 | − | 2.84619i | 0.395041 | − | 0.105851i | ||||
\(724\) | 25.0809i | 0.932125i | ||||||||
\(725\) | −36.0940 | − | 20.8389i | −1.34050 | − | 0.773936i | ||||
\(726\) | −1.74845 | + | 1.74845i | −0.0648911 | + | 0.0648911i | ||||
\(727\) | 43.1639 | 1.60086 | 0.800430 | − | 0.599426i | \(-0.204605\pi\) | ||||
0.800430 | + | 0.599426i | \(0.204605\pi\) | |||||||
\(728\) | 11.2185 | − | 19.4035i | 0.415785 | − | 0.719143i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 4.77068 | − | 4.77068i | 0.176571 | − | 0.176571i | ||||
\(731\) | 31.5045 | + | 18.1892i | 1.16524 | + | 0.672750i | ||||
\(732\) | 8.59245i | 0.317586i | ||||||||
\(733\) | −3.91767 | + | 1.04974i | −0.144702 | + | 0.0387729i | −0.330443 | − | 0.943826i | \(-0.607198\pi\) |
0.185741 | + | 0.982599i | \(0.440532\pi\) | |||||||
\(734\) | −2.49191 | + | 0.667706i | −0.0919781 | + | 0.0246455i | ||||
\(735\) | −27.6297 | + | 1.67196i | −1.01914 | + | 0.0616712i | ||||
\(736\) | 26.5330 | + | 26.5330i | 0.978018 | + | 0.978018i | ||||
\(737\) | −4.43775 | − | 7.68641i | −0.163467 | − | 0.283133i | ||||
\(738\) | 0.912868 | − | 1.58113i | 0.0336031 | − | 0.0582023i | ||||
\(739\) | −41.3654 | + | 11.0838i | −1.52165 | + | 0.407725i | −0.920285 | − | 0.391248i | \(-0.872043\pi\) |
−0.601366 | + | 0.798973i | \(0.705377\pi\) | |||||||
\(740\) | 6.49475 | − | 11.2492i | 0.238752 | − | 0.413530i | ||||
\(741\) | −18.5266 | − | 15.1458i | −0.680591 | − | 0.556394i | ||||
\(742\) | −13.5335 | − | 1.36717i | −0.496830 | − | 0.0501905i | ||||
\(743\) | 28.2948 | + | 7.58157i | 1.03804 | + | 0.278141i | 0.737299 | − | 0.675567i | \(-0.236101\pi\) |
0.300736 | + | 0.953707i | \(0.402768\pi\) | |||||||
\(744\) | 3.43325 | 0.125869 | ||||||||
\(745\) | 11.1076 | 0.406953 | ||||||||
\(746\) | 18.0896 | + | 4.84710i | 0.662308 | + | 0.177465i | ||||
\(747\) | −0.177745 | + | 0.663355i | −0.00650336 | + | 0.0242709i | ||||
\(748\) | 3.65125 | + | 13.6267i | 0.133503 | + | 0.498240i | ||||
\(749\) | −17.6780 | + | 2.87317i | −0.645940 | + | 0.104984i | ||||
\(750\) | −7.34310 | + | 12.7186i | −0.268132 | + | 0.464419i | ||||
\(751\) | − | 13.1918i | − | 0.481377i | −0.970602 | − | 0.240688i | \(-0.922627\pi\) | ||
0.970602 | − | 0.240688i | \(-0.0773732\pi\) | |||||||
\(752\) | −0.750008 | − | 2.79907i | −0.0273500 | − | 0.102072i | ||||
\(753\) | 19.1018 | − | 11.0284i | 0.696107 | − | 0.401897i | ||||
\(754\) | 1.49897 | − | 9.18730i | 0.0545893 | − | 0.334582i | ||||
\(755\) | 33.3495i | 1.21371i | ||||||||
\(756\) | 4.08919 | − | 0.664609i | 0.148722 | − | 0.0241716i | ||||
\(757\) | 23.1688 | + | 40.1295i | 0.842083 | + | 1.45853i | 0.888130 | + | 0.459592i | \(0.152004\pi\) |
−0.0460469 | + | 0.998939i | \(0.514662\pi\) | |||||||
\(758\) | 7.80336 | − | 4.50527i | 0.283431 | − | 0.163639i | ||||
\(759\) | 4.55284 | − | 16.9914i | 0.165258 | − | 0.616750i | ||||
\(760\) | 43.6018 | − | 43.6018i | 1.58160 | − | 1.58160i | ||||
\(761\) | 1.55165 | + | 0.415762i | 0.0562471 | + | 0.0150714i | 0.286833 | − | 0.957981i | \(-0.407398\pi\) |
−0.230586 | + | 0.973052i | \(0.574064\pi\) | |||||||
\(762\) | 5.65619 | − | 5.65619i | 0.204902 | − | 0.204902i | ||||
\(763\) | −10.9608 | − | 1.10728i | −0.396807 | − | 0.0400861i | ||||
\(764\) | 28.9839 | − | 16.7339i | 1.04860 | − | 0.605410i | ||||
\(765\) | −9.35761 | − | 9.35761i | −0.338325 | − | 0.338325i | ||||
\(766\) | 9.99826 | + | 17.3175i | 0.361252 | + | 0.625706i | ||||
\(767\) | −1.65910 | − | 1.35634i | −0.0599065 | − | 0.0489745i | ||||
\(768\) | −7.38975 | − | 4.26648i | −0.266655 | − | 0.153953i | ||||
\(769\) | −3.99954 | + | 14.9265i | −0.144227 | + | 0.538263i | 0.855562 | + | 0.517701i | \(0.173212\pi\) |
−0.999789 | + | 0.0205616i | \(0.993455\pi\) | |||||||
\(770\) | 1.86525 | − | 18.4639i | 0.0672188 | − | 0.665391i | ||||
\(771\) | 5.75030 | + | 3.31994i | 0.207092 | + | 0.119565i | ||||
\(772\) | 3.77060 | + | 14.0721i | 0.135707 | + | 0.506465i | ||||
\(773\) | 12.2384 | + | 12.2384i | 0.440185 | + | 0.440185i | 0.892074 | − | 0.451889i | \(-0.149250\pi\) |
−0.451889 | + | 0.892074i | \(0.649250\pi\) | |||||||
\(774\) | 5.06453 | + | 5.06453i | 0.182041 | + | 0.182041i | ||||
\(775\) | −4.02274 | − | 15.0131i | −0.144501 | − | 0.539286i | ||||
\(776\) | −15.5320 | − | 8.96741i | −0.557567 | − | 0.321911i | ||||
\(777\) | −2.27799 | − | 5.06133i | −0.0817226 | − | 0.181574i | ||||
\(778\) | −3.11976 | + | 11.6431i | −0.111849 | + | 0.417426i | ||||
\(779\) | 15.9263 | + | 9.19503i | 0.570617 | + | 0.329446i | ||||
\(780\) | 22.0337 | + | 3.59496i | 0.788934 | + | 0.128720i | ||||
\(781\) | −3.27608 | − | 5.67433i | −0.117227 | − | 0.203043i | ||||
\(782\) | −10.1886 | − | 10.1886i | −0.364342 | − | 0.364342i | ||||
\(783\) | 3.39337 | − | 1.95916i | 0.121269 | − | 0.0700148i | ||||
\(784\) | −10.5145 | + | 3.51055i | −0.375519 | + | 0.125377i | ||||
\(785\) | −48.5590 | + | 48.5590i | −1.73314 | + | 1.73314i | ||||
\(786\) | −8.87407 | − | 2.37780i | −0.316528 | − | 0.0848133i | ||||
\(787\) | 10.1433 | − | 10.1433i | 0.361569 | − | 0.361569i | −0.502821 | − | 0.864390i | \(-0.667705\pi\) |
0.864390 | + | 0.502821i | \(0.167705\pi\) | |||||||
\(788\) | 1.19520 | − | 4.46054i | 0.0425772 | − | 0.158900i | ||||
\(789\) | −0.911126 | + | 0.526039i | −0.0324369 | + | 0.0187275i | ||||
\(790\) | −17.5132 | − | 30.3338i | −0.623093 | − | 1.07923i | ||||
\(791\) | 16.8612 | − | 44.4608i | 0.599514 | − | 1.58085i | ||||
\(792\) | 6.32514i | 0.224754i | ||||||||
\(793\) | 11.5548 | + | 16.0604i | 0.410323 | + | 0.570323i | ||||
\(794\) | −1.32377 | + | 0.764279i | −0.0469788 | + | 0.0271232i | ||||
\(795\) | −7.98570 | − | 29.8030i | −0.283224 | − | 1.05700i | ||||
\(796\) | − | 8.84218i | − | 0.313403i | ||||||
\(797\) | −25.7962 | + | 44.6803i | −0.913747 | + | 1.58266i | −0.105022 | + | 0.994470i | \(0.533491\pi\) |
−0.808725 | + | 0.588187i | \(0.799842\pi\) | |||||||
\(798\) | −1.85610 | − | 11.4202i | −0.0657053 | − | 0.404270i | ||||
\(799\) | 1.58501 | + | 5.91536i | 0.0560738 | + | 0.209270i | ||||
\(800\) | −15.8089 | + | 58.9996i | −0.558928 | + | 2.08595i | ||||
\(801\) | 7.93338 | + | 2.12574i | 0.280312 | + | 0.0751095i | ||||
\(802\) | −8.85586 | −0.312711 | ||||||||
\(803\) | −6.97094 | −0.245999 | ||||||||
\(804\) | 4.98655 | + | 1.33614i | 0.175862 | + | 0.0471221i | ||||
\(805\) | −28.0577 | − | 62.3396i | −0.988904 | − | 2.19718i | ||||
\(806\) | 2.81795 | − | 2.02740i | 0.0992580 | − | 0.0714120i | ||||
\(807\) | 3.49090 | − | 6.04641i | 0.122885 | − | 0.212844i | ||||
\(808\) | −30.7763 | + | 8.24647i | −1.08270 | + | 0.290110i | ||||
\(809\) | −1.14846 | + | 1.98918i | −0.0403776 | + | 0.0699360i | −0.885508 | − | 0.464624i | \(-0.846189\pi\) |
0.845130 | + | 0.534560i | \(0.179523\pi\) | |||||||
\(810\) | −1.30275 | − | 2.25643i | −0.0457740 | − | 0.0792829i | ||||
\(811\) | 8.78392 | + | 8.78392i | 0.308445 | + | 0.308445i | 0.844306 | − | 0.535861i | \(-0.180013\pi\) |
−0.535861 | + | 0.844306i | \(0.680013\pi\) | |||||||
\(812\) | −12.5741 | + | 10.2667i | −0.441263 | + | 0.360289i | ||||
\(813\) | 24.4480 | − | 6.55082i | 0.857428 | − | 0.229747i | ||||
\(814\) | 3.59436 | − | 0.963106i | 0.125982 | − | 0.0337568i | ||||
\(815\) | 93.9033i | 3.28929i | ||||||||
\(816\) | −4.58966 | − | 2.64984i | −0.160670 | − | 0.0927629i | ||||
\(817\) | −51.0134 | + | 51.0134i | −1.78473 | + | 1.78473i | ||||
\(818\) | −13.4850 | −0.471492 | ||||||||
\(819\) | 6.74950 | − | 6.74124i | 0.235847 | − | 0.235558i | ||||
\(820\) | −17.1569 | −0.599145 | ||||||||
\(821\) | −22.8312 | + | 22.8312i | −0.796816 | + | 0.796816i | −0.982592 | − | 0.185776i | \(-0.940520\pi\) |
0.185776 | + | 0.982592i | \(0.440520\pi\) | |||||||
\(822\) | 8.88222 | + | 5.12815i | 0.309803 | + | 0.178865i | ||||
\(823\) | − | 11.3716i | − | 0.396388i | −0.980163 | − | 0.198194i | \(-0.936492\pi\) | ||
0.980163 | − | 0.198194i | \(-0.0635077\pi\) | |||||||
\(824\) | 13.1274 | − | 3.51748i | 0.457315 | − | 0.122537i | ||||
\(825\) | 27.6588 | − | 7.41116i | 0.962957 | − | 0.258024i | ||||
\(826\) | −0.166218 | − | 1.02270i | −0.00578346 | − | 0.0355843i | ||||
\(827\) | −20.9552 | − | 20.9552i | −0.728685 | − | 0.728685i | 0.241673 | − | 0.970358i | \(-0.422304\pi\) |
−0.970358 | + | 0.241673i | \(0.922304\pi\) | |||||||
\(828\) | 5.11587 | + | 8.86094i | 0.177789 | + | 0.307939i | ||||
\(829\) | −18.1000 | + | 31.3501i | −0.628638 | + | 1.08883i | 0.359188 | + | 0.933265i | \(0.383054\pi\) |
−0.987825 | + | 0.155567i | \(0.950280\pi\) | |||||||
\(830\) | −1.72837 | + | 0.463116i | −0.0599927 | + | 0.0160750i | ||||
\(831\) | −13.0549 | + | 22.6117i | −0.452869 | + | 0.784392i | ||||
\(832\) | −2.21197 | + | 0.222089i | −0.0766864 | + | 0.00769954i | ||||
\(833\) | 22.2207 | − | 7.41895i | 0.769900 | − | 0.257051i | ||||
\(834\) | −9.31393 | − | 2.49566i | −0.322515 | − | 0.0864177i | ||||
\(835\) | −83.4279 | −2.88714 | ||||||||
\(836\) | −27.9771 | −0.967607 | ||||||||
\(837\) | 1.41145 | + | 0.378198i | 0.0487870 | + | 0.0130724i | ||||
\(838\) | −4.98010 | + | 18.5860i | −0.172035 | + | 0.642043i | ||||
\(839\) | 2.14726 | + | 8.01368i | 0.0741316 | + | 0.276663i | 0.993035 | − | 0.117820i | \(-0.0375905\pi\) |
−0.918903 | + | 0.394483i | \(0.870924\pi\) | |||||||
\(840\) | 15.5465 | + | 19.0405i | 0.536406 | + | 0.656961i | ||||
\(841\) | 6.82335 | − | 11.8184i | 0.235288 | − | 0.407531i | ||||
\(842\) | 25.3761i | 0.874519i | ||||||||
\(843\) | −4.76211 | − | 17.7724i | −0.164016 | − | 0.612115i | ||||
\(844\) | −11.8291 | + | 6.82953i | −0.407174 | + | 0.235082i | ||||
\(845\) | 46.0183 | − | 22.9107i | 1.58308 | − | 0.788152i | ||||
\(846\) | 1.20573i | 0.0414537i | ||||||||
\(847\) | 7.69084 | − | 6.27953i | 0.264260 | − | 0.215767i | ||||
\(848\) | −6.17812 | − | 10.7008i | −0.212158 | − | 0.367468i | ||||
\(849\) | −5.45344 | + | 3.14855i | −0.187162 | + | 0.108058i | ||||
\(850\) | 6.07055 | − | 22.6556i | 0.208218 | − | 0.777081i | ||||
\(851\) | 9.69293 | − | 9.69293i | 0.332269 | − | 0.332269i | ||||
\(852\) | 3.68121 | + | 0.986378i | 0.126116 | + | 0.0337927i | ||||
\(853\) | −0.875083 | + | 0.875083i | −0.0299623 | + | 0.0299623i | −0.721929 | − | 0.691967i | \(-0.756744\pi\) |
0.691967 | + | 0.721929i | \(0.256744\pi\) | |||||||
\(854\) | −0.961491 | + | 9.51769i | −0.0329015 | + | 0.325689i | ||||
\(855\) | 22.7283 | − | 13.1222i | 0.777292 | − | 0.448770i | ||||
\(856\) | 11.2464 | + | 11.2464i | 0.384394 | + | 0.384394i | ||||
\(857\) | 1.31117 | + | 2.27101i | 0.0447886 | + | 0.0775761i | 0.887551 | − | 0.460710i | \(-0.152405\pi\) |
−0.842762 | + | 0.538286i | \(0.819072\pi\) | |||||||
\(858\) | 3.73511 | + | 5.19155i | 0.127514 | + | 0.177237i | ||||
\(859\) | 6.83308 | + | 3.94508i | 0.233142 | + | 0.134605i | 0.612021 | − | 0.790842i | \(-0.290357\pi\) |
−0.378879 | + | 0.925446i | \(0.623690\pi\) | |||||||
\(860\) | 17.4201 | − | 65.0128i | 0.594022 | − | 2.21692i | ||||
\(861\) | −4.28509 | + | 5.94831i | −0.146036 | + | 0.202718i | ||||
\(862\) | −4.90191 | − | 2.83012i | −0.166960 | − | 0.0963943i | ||||
\(863\) | 5.89346 | + | 21.9947i | 0.200616 | + | 0.748708i | 0.990741 | + | 0.135763i | \(0.0433485\pi\) |
−0.790126 | + | 0.612945i | \(0.789985\pi\) | |||||||
\(864\) | −4.06057 | − | 4.06057i | −0.138143 | − | 0.138143i | ||||
\(865\) | 44.6016 | + | 44.6016i | 1.51650 | + | 1.51650i | ||||
\(866\) | 2.59747 | + | 9.69389i | 0.0882656 | + | 0.329412i | ||||
\(867\) | −5.02297 | − | 2.90001i | −0.170589 | − | 0.0984896i | ||||
\(868\) | −6.02306 | − | 0.608458i | −0.204436 | − | 0.0206524i | ||||
\(869\) | −9.36674 | + | 34.9571i | −0.317745 | + | 1.18584i | ||||
\(870\) | 8.84144 | + | 5.10461i | 0.299753 | + | 0.173062i | ||||
\(871\) | 11.1173 | − | 4.20830i | 0.376696 | − | 0.142593i | ||||
\(872\) | 4.89160 | + | 8.47249i | 0.165650 | + | 0.286915i | ||||
\(873\) | −5.39758 | − | 5.39758i | −0.182680 | − | 0.182680i | ||||
\(874\) | 24.7466 | − | 14.2874i | 0.837065 | − | 0.483280i | ||||
\(875\) | 34.4693 | − | 47.8482i | 1.16527 | − | 1.61756i | ||||
\(876\) | 2.86708 | − | 2.86708i | 0.0968695 | − | 0.0968695i | ||||
\(877\) | 37.1561 | + | 9.95594i | 1.25467 | + | 0.336188i | 0.824139 | − | 0.566387i | \(-0.191659\pi\) |
0.430532 | + | 0.902575i | \(0.358326\pi\) | |||||||
\(878\) | −1.33543 | + | 1.33543i | −0.0450686 | + | 0.0450686i | ||||
\(879\) | 3.07465 | − | 11.4748i | 0.103705 | − | 0.387034i | ||||
\(880\) | 14.5992 | − | 8.42887i | 0.492140 | − | 0.284137i | ||||
\(881\) | −20.4737 | − | 35.4615i | −0.689777 | − | 1.19473i | −0.971910 | − | 0.235354i | \(-0.924375\pi\) |
0.282133 | − | 0.959375i | \(-0.408958\pi\) | |||||||
\(882\) | 4.60388 | − | 0.278596i | 0.155021 | − | 0.00938081i | ||||
\(883\) | − | 2.58549i | − | 0.0870086i | −0.999053 | − | 0.0435043i | \(-0.986148\pi\) | ||
0.999053 | − | 0.0435043i | \(-0.0138522\pi\) | |||||||
\(884\) | −18.7998 | + | 1.88755i | −0.632304 | + | 0.0634852i | ||||
\(885\) | 2.03537 | − | 1.17512i | 0.0684182 | − | 0.0395013i | ||||
\(886\) | −3.58670 | − | 13.3858i | −0.120498 | − | 0.449703i | ||||
\(887\) | − | 58.2818i | − | 1.95691i | −0.206456 | − | 0.978456i | \(-0.566193\pi\) | ||
0.206456 | − | 0.978456i | \(-0.433807\pi\) | |||||||
\(888\) | −2.46447 | + | 4.26859i | −0.0827023 | + | 0.143245i | ||||
\(889\) | −24.8796 | + | 20.3141i | −0.834435 | + | 0.681312i | ||||
\(890\) | 5.53863 | + | 20.6704i | 0.185655 | + | 0.692875i | ||||
\(891\) | −0.696760 | + | 2.60034i | −0.0233423 | + | 0.0871148i | ||||
\(892\) | 15.2363 | + | 4.08257i | 0.510151 | + | 0.136694i | ||||
\(893\) | −12.1449 | −0.406413 | ||||||||
\(894\) | −1.85085 | −0.0619016 | ||||||||
\(895\) | 11.0353 | + | 2.95691i | 0.368870 | + | 0.0988385i | ||||
\(896\) | 23.7830 | + | 17.1330i | 0.794535 | + | 0.572373i | ||||
\(897\) | 21.4781 | + | 9.68264i | 0.717133 | + | 0.323294i | ||||
\(898\) | 2.09964 | − | 3.63668i | 0.0700658 | − | 0.121358i | ||||
\(899\) | −5.53054 | + | 1.48190i | −0.184454 | + | 0.0494242i | ||||
\(900\) | −8.32767 | + | 14.4239i | −0.277589 | + | 0.480798i | ||||
\(901\) | 13.0564 | + | 22.6144i | 0.434972 | + | 0.753394i | ||||
\(902\) | −3.47544 | − | 3.47544i | −0.115720 | − | 0.115720i | ||||
\(903\) | −18.1892 | − | 22.2771i | −0.605297 | − | 0.741336i | ||||
\(904\) | −40.7882 | + | 10.9292i | −1.35660 | + | 0.363499i | ||||
\(905\) | −61.1799 | + | 16.3931i | −2.03369 | + | 0.544925i | ||||
\(906\) | − | 5.55697i | − | 0.184618i | ||||||
\(907\) | −31.6596 | − | 18.2787i | −1.05124 | − | 0.606934i | −0.128244 | − | 0.991743i | \(-0.540934\pi\) |
−0.922996 | + | 0.384809i | \(0.874267\pi\) | |||||||
\(908\) | 4.83081 | − | 4.83081i | 0.160316 | − | 0.160316i | ||||
\(909\) | −13.5609 | −0.449787 | ||||||||
\(910\) | 24.0041 | + | 6.44762i | 0.795727 | + | 0.213737i | ||||
\(911\) | −0.732987 | −0.0242849 | −0.0121425 | − | 0.999926i | \(-0.503865\pi\) | ||||
−0.0121425 | + | 0.999926i | \(0.503865\pi\) | |||||||
\(912\) | 7.43175 | − | 7.43175i | 0.246090 | − | 0.246090i | ||||
\(913\) | 1.60110 | + | 0.924398i | 0.0529888 | + | 0.0305931i | ||||
\(914\) | 10.5446i | 0.348784i | ||||||||
\(915\) | −20.9596 | + | 5.61610i | −0.692902 | + | 0.185662i | ||||
\(916\) | −25.5318 | + | 6.84122i | −0.843594 | + | 0.226040i | ||||
\(917\) | 34.4929 | + | 13.0809i | 1.13905 | + | 0.431971i | ||||
\(918\) | 1.55924 | + | 1.55924i | 0.0514627 | + | 0.0514627i | ||||
\(919\) | −16.5464 | − | 28.6593i | −0.545817 | − | 0.945382i | −0.998555 | − | 0.0537388i | \(-0.982886\pi\) |
0.452738 | − | 0.891643i | \(-0.350447\pi\) | |||||||
\(920\) | −30.3545 | + | 52.5756i | −1.00076 | + | 1.73337i | ||||
\(921\) | 20.3417 | − | 5.45055i | 0.670283 | − | 0.179602i | ||||
\(922\) | 10.2249 | − | 17.7100i | 0.336739 | − | 0.583249i | ||||
\(923\) | 8.20712 | − | 3.10669i | 0.270141 | − | 0.102258i | ||||
\(924\) | 1.12097 | − | 11.0964i | 0.0368773 | − | 0.365044i | ||||
\(925\) | 21.5535 | + | 5.77524i | 0.708675 | + | 0.189889i | ||||
\(926\) | −2.05058 | −0.0673864 | ||||||||
\(927\) | 5.78432 | 0.189982 | ||||||||
\(928\) | 21.7343 | + | 5.82370i | 0.713464 | + | 0.191172i | ||||
\(929\) | −1.90230 | + | 7.09947i | −0.0624123 | + | 0.232926i | −0.990085 | − | 0.140468i | \(-0.955139\pi\) |
0.927673 | + | 0.373394i | \(0.121806\pi\) | |||||||
\(930\) | 0.985395 | + | 3.67754i | 0.0323124 | + | 0.120591i | ||||
\(931\) | 2.80621 | + | 46.3735i | 0.0919697 | + | 1.51983i | ||||
\(932\) | −2.75048 | + | 4.76396i | −0.0900948 | + | 0.156049i | ||||
\(933\) | − | 21.2532i | − | 0.695799i | ||||||
\(934\) | 0.770423 | + | 2.87526i | 0.0252090 | + | 0.0940814i | ||||
\(935\) | −30.8530 | + | 17.8130i | −1.00900 | + | 0.582547i | ||||
\(936\) | −8.36084 | − | 1.36413i | −0.273283 | − | 0.0445879i | ||||
\(937\) | − | 47.7381i | − | 1.55954i | −0.626068 | − | 0.779768i | \(-0.715337\pi\) | ||
0.626068 | − | 0.779768i | \(-0.284663\pi\) | |||||||
\(938\) | 5.37399 | + | 2.03801i | 0.175467 | + | 0.0665434i | ||||
\(939\) | 2.58338 | + | 4.47455i | 0.0843054 | + | 0.146021i | ||||
\(940\) | 9.81252 | − | 5.66526i | 0.320049 | − | 0.184780i | ||||
\(941\) | 9.60732 | − | 35.8550i | 0.313190 | − | 1.16884i | −0.612473 | − | 0.790491i | \(-0.709825\pi\) |
0.925663 | − | 0.378349i | \(-0.123508\pi\) | |||||||
\(942\) | 8.09130 | − | 8.09130i | 0.263629 | − | 0.263629i | ||||
\(943\) | −17.4888 | − | 4.68612i | −0.569515 | − | 0.152601i | ||||
\(944\) | 0.665530 | − | 0.665530i | 0.0216611 | − | 0.0216611i | ||||
\(945\) | 4.29391 | + | 9.54037i | 0.139681 | + | 0.310348i | ||||
\(946\) | 16.6983 | − | 9.64075i | 0.542908 | − | 0.313448i | ||||
\(947\) | −4.69464 | − | 4.69464i | −0.152555 | − | 0.152555i | 0.626703 | − | 0.779258i | \(-0.284404\pi\) |
−0.779258 | + | 0.626703i | \(0.784404\pi\) | |||||||
\(948\) | −10.5251 | − | 18.2300i | −0.341839 | − | 0.592082i | ||||
\(949\) | 1.50341 | − | 9.21448i | 0.0488026 | − | 0.299115i | ||||
\(950\) | 40.2828 | + | 23.2573i | 1.30695 | + | 0.754565i | ||||
\(951\) | −1.63753 | + | 6.11134i | −0.0531005 | + | 0.198174i | ||||
\(952\) | −16.8798 | − | 12.1600i | −0.547078 | − | 0.394108i | ||||
\(953\) | 17.6451 | + | 10.1874i | 0.571581 | + | 0.330003i | 0.757781 | − | 0.652509i | \(-0.226284\pi\) |
−0.186199 | + | 0.982512i | \(0.559617\pi\) | |||||||
\(954\) | 1.33064 | + | 4.96603i | 0.0430812 | + | 0.160781i | ||||
\(955\) | 59.7630 | + | 59.7630i | 1.93389 | + | 1.93389i | ||||
\(956\) | 23.5780 | + | 23.5780i | 0.762567 | + | 0.762567i | ||||
\(957\) | −2.73013 | − | 10.1890i | −0.0882527 | − | 0.329364i | ||||
\(958\) | 17.7786 | + | 10.2645i | 0.574400 | + | 0.331630i | ||||
\(959\) | −33.4154 | − | 24.0721i | −1.07904 | − | 0.777327i | ||||
\(960\) | 0.631036 | − | 2.35506i | 0.0203666 | − | 0.0760091i | ||||
\(961\) | 24.9976 | + | 14.4324i | 0.806375 | + | 0.465561i | ||||
\(962\) | 0.497887 | + | 4.95889i | 0.0160525 | + | 0.159881i | ||||
\(963\) | 3.38467 | + | 5.86241i | 0.109069 | + | 0.188914i | ||||
\(964\) | 12.1760 | + | 12.1760i | 0.392161 | + | 0.392161i | ||||
\(965\) | −31.8615 | + | 18.3952i | −1.02566 | + | 0.592164i | ||||
\(966\) | 4.67521 | + | 10.3875i | 0.150422 | + | 0.334214i | ||||
\(967\) | −20.9933 | + | 20.9933i | −0.675099 | + | 0.675099i | −0.958887 | − | 0.283788i | \(-0.908409\pi\) |
0.283788 | + | 0.958887i | \(0.408409\pi\) | |||||||
\(968\) | −8.51678 | − | 2.28206i | −0.273740 | − | 0.0733483i | ||||
\(969\) | −15.7058 | + | 15.7058i | −0.504541 | + | 0.504541i | ||||
\(970\) | 5.14756 | − | 19.2110i | 0.165278 | − | 0.616827i | ||||
\(971\) | 33.4886 | − | 19.3346i | 1.07470 | − | 0.620478i | 0.145237 | − | 0.989397i | \(-0.453605\pi\) |
0.929461 | + | 0.368919i | \(0.120272\pi\) | |||||||
\(972\) | −0.782925 | − | 1.35607i | −0.0251123 | − | 0.0434958i | ||||
\(973\) | 36.2026 | + | 13.7293i | 1.16060 | + | 0.440142i | ||||
\(974\) | − | 6.31428i | − | 0.202323i | ||||||
\(975\) | 3.83127 | + | 38.1590i | 0.122699 | + | 1.22207i | ||||
\(976\) | −7.52556 | + | 4.34488i | −0.240887 | + | 0.139076i | ||||
\(977\) | −14.6444 | − | 54.6538i | −0.468517 | − | 1.74853i | −0.644959 | − | 0.764217i | \(-0.723125\pi\) |
0.176442 | − | 0.984311i | \(-0.443541\pi\) | |||||||
\(978\) | − | 15.6469i | − | 0.500334i | ||||||
\(979\) | 11.0553 | − | 19.1484i | 0.353330 | − | 0.611985i | ||||
\(980\) | −23.8992 | − | 36.1586i | −0.763433 | − | 1.15504i | ||||
\(981\) | 1.07769 | + | 4.02199i | 0.0344080 | + | 0.128412i | ||||
\(982\) | −0.0809967 | + | 0.302284i | −0.00258471 | + | 0.00964626i | ||||
\(983\) | 20.3918 | + | 5.46396i | 0.650396 | + | 0.174273i | 0.568908 | − | 0.822401i | \(-0.307366\pi\) |
0.0814882 | + | 0.996674i | \(0.474033\pi\) | |||||||
\(984\) | 6.51030 | 0.207541 | ||||||||
\(985\) | 11.6618 | 0.371576 | ||||||||
\(986\) | −8.34590 | − | 2.23628i | −0.265788 | − | 0.0712176i | ||||
\(987\) | 0.486616 | − | 4.81696i | 0.0154892 | − | 0.153325i | ||||
\(988\) | 6.03375 | − | 36.9813i | 0.191959 | − | 1.17653i | ||||
\(989\) | 35.5143 | − | 61.5125i | 1.12929 | − | 1.95599i | ||||
\(990\) | −6.77520 | + | 1.81541i | −0.215330 | + | 0.0576975i | ||||
\(991\) | −18.0056 | + | 31.1866i | −0.571967 | + | 0.990676i | 0.424397 | + | 0.905476i | \(0.360486\pi\) |
−0.996364 | + | 0.0851997i | \(0.972847\pi\) | |||||||
\(992\) | 4.19560 | + | 7.26700i | 0.133211 | + | 0.230727i | ||||
\(993\) | 3.87092 | + | 3.87092i | 0.122840 | + | 0.122840i | ||||
\(994\) | 3.96723 | + | 1.50452i | 0.125833 | + | 0.0477204i | ||||
\(995\) | 21.5687 | − | 5.77932i | 0.683774 | − | 0.183217i | ||||
\(996\) | −1.03871 | + | 0.278322i | −0.0329129 | + | 0.00881898i | ||||
\(997\) | − | 32.6185i | − | 1.03304i | −0.856275 | − | 0.516520i | \(-0.827227\pi\) | ||
0.856275 | − | 0.516520i | \(-0.172773\pi\) | |||||||
\(998\) | −2.01871 | − | 1.16550i | −0.0639011 | − | 0.0368933i | ||||
\(999\) | −1.48339 | + | 1.48339i | −0.0469324 | + | 0.0469324i |
(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 | 273.2.bt.b.145.6 | ✓ | 40 | |
3.2 | odd | 2 | 819.2.et.d.145.5 | 40 | |||
7.3 | odd | 6 | 273.2.cg.b.262.6 | yes | 40 | ||
13.7 | odd | 12 | 273.2.cg.b.124.6 | yes | 40 | ||
21.17 | even | 6 | 819.2.gh.d.262.5 | 40 | |||
39.20 | even | 12 | 819.2.gh.d.397.5 | 40 | |||
91.59 | even | 12 | inner | 273.2.bt.b.241.6 | yes | 40 | |
273.59 | odd | 12 | 819.2.et.d.514.5 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bt.b.145.6 | ✓ | 40 | 1.1 | even | 1 | trivial | |
273.2.bt.b.241.6 | yes | 40 | 91.59 | even | 12 | inner | |
273.2.cg.b.124.6 | yes | 40 | 13.7 | odd | 12 | ||
273.2.cg.b.262.6 | yes | 40 | 7.3 | odd | 6 | ||
819.2.et.d.145.5 | 40 | 3.2 | odd | 2 | |||
819.2.et.d.514.5 | 40 | 273.59 | odd | 12 | |||
819.2.gh.d.262.5 | 40 | 21.17 | even | 6 | |||
819.2.gh.d.397.5 | 40 | 39.20 | even | 12 |