Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(97,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.q (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: | \(2.95446487479\) |
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 | 103.3 | ||
Character | \(\chi\) | \(=\) | 370.103 |
Dual form | 370.2.q.f.97.3 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | −0.453882 | − | 1.69391i | −0.262049 | − | 0.977981i | −0.964032 | − | 0.265787i | \(-0.914368\pi\) |
0.701983 | − | 0.712194i | \(-0.252298\pi\) | |||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 1.94207 | + | 1.10831i | 0.868521 | + | 0.495652i | ||||
\(6\) | 1.24003 | − | 1.24003i | 0.506240 | − | 0.506240i | ||||
\(7\) | −1.25240 | − | 4.67400i | −0.473361 | − | 1.76661i | −0.627561 | − | 0.778568i | \(-0.715946\pi\) |
0.154199 | − | 0.988040i | \(-0.450720\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −0.0652541 | + | 0.0376745i | −0.0217514 | + | 0.0125582i | ||||
\(10\) | 0.0112097 | + | 2.23604i | 0.00354482 | + | 0.707098i | ||||
\(11\) | − | 1.80443i | − | 0.544056i | −0.962289 | − | 0.272028i | \(-0.912306\pi\) | ||
0.962289 | − | 0.272028i | \(-0.0876943\pi\) | |||||||
\(12\) | 1.69391 | + | 0.453882i | 0.488990 | + | 0.131025i | ||||
\(13\) | −1.30781 | + | 2.26519i | −0.362721 | + | 0.628251i | −0.988408 | − | 0.151823i | \(-0.951486\pi\) |
0.625687 | + | 0.780074i | \(0.284819\pi\) | |||||||
\(14\) | 3.42161 | − | 3.42161i | 0.914463 | − | 0.914463i | ||||
\(15\) | 0.995911 | − | 3.79274i | 0.257143 | − | 0.979282i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 3.01303 | − | 1.73957i | 0.730767 | − | 0.421909i | −0.0879355 | − | 0.996126i | \(-0.528027\pi\) |
0.818703 | + | 0.574217i | \(0.194694\pi\) | |||||||
\(18\) | −0.0652541 | − | 0.0376745i | −0.0153805 | − | 0.00887996i | ||||
\(19\) | 6.17174 | − | 1.65371i | 1.41589 | − | 0.379388i | 0.531869 | − | 0.846827i | \(-0.321490\pi\) |
0.884025 | + | 0.467439i | \(0.154823\pi\) | |||||||
\(20\) | −1.93086 | + | 1.12773i | −0.431754 | + | 0.252168i | ||||
\(21\) | −7.34891 | + | 4.24290i | −1.60366 | + | 0.925876i | ||||
\(22\) | 1.56268 | − | 0.902215i | 0.333165 | − | 0.192353i | ||||
\(23\) | −8.37956 | −1.74726 | −0.873629 | − | 0.486592i | \(-0.838240\pi\) | ||||
−0.873629 | + | 0.486592i | \(0.838240\pi\) | |||||||
\(24\) | 0.453882 | + | 1.69391i | 0.0926484 | + | 0.345768i | ||||
\(25\) | 2.54329 | + | 4.30484i | 0.508658 | + | 0.860969i | ||||
\(26\) | −2.61562 | −0.512965 | ||||||||
\(27\) | −3.62666 | − | 3.62666i | −0.697950 | − | 0.697950i | ||||
\(28\) | 4.67400 | + | 1.25240i | 0.883304 | + | 0.236681i | ||||
\(29\) | 5.16438 | − | 5.16438i | 0.959001 | − | 0.959001i | −0.0401907 | − | 0.999192i | \(-0.512797\pi\) |
0.999192 | + | 0.0401907i | \(0.0127965\pi\) | |||||||
\(30\) | 3.78257 | − | 1.03389i | 0.690599 | − | 0.188761i | ||||
\(31\) | 6.16219 | + | 6.16219i | 1.10676 | + | 1.10676i | 0.993574 | + | 0.113188i | \(0.0361064\pi\) |
0.113188 | + | 0.993574i | \(0.463894\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −3.05655 | + | 0.818999i | −0.532076 | + | 0.142569i | ||||
\(34\) | 3.01303 | + | 1.73957i | 0.516731 | + | 0.298335i | ||||
\(35\) | 2.74801 | − | 10.4653i | 0.464499 | − | 1.76896i | ||||
\(36\) | − | 0.0753490i | − | 0.0125582i | ||||||
\(37\) | 2.23377 | + | 5.65776i | 0.367230 | + | 0.930130i | ||||
\(38\) | 4.51803 | + | 4.51803i | 0.732921 | + | 0.732921i | ||||
\(39\) | 4.43063 | + | 1.18718i | 0.709468 | + | 0.190101i | ||||
\(40\) | −1.94207 | − | 1.10831i | −0.307069 | − | 0.175240i | ||||
\(41\) | −2.24339 | − | 1.29522i | −0.350359 | − | 0.202280i | 0.314484 | − | 0.949263i | \(-0.398168\pi\) |
−0.664844 | + | 0.746983i | \(0.731502\pi\) | |||||||
\(42\) | −7.34891 | − | 4.24290i | −1.13396 | − | 0.654693i | ||||
\(43\) | −1.35953 | −0.207327 | −0.103663 | − | 0.994612i | \(-0.533056\pi\) | ||||
−0.103663 | + | 0.994612i | \(0.533056\pi\) | |||||||
\(44\) | 1.56268 | + | 0.902215i | 0.235583 | + | 0.136014i | ||||
\(45\) | −0.168483 | 0.000844640i | −0.0251160 | 0.000125911i | ||||||
\(46\) | −4.18978 | − | 7.25691i | −0.617749 | − | 1.06997i | ||||
\(47\) | −0.101997 | + | 0.101997i | −0.0148779 | + | 0.0148779i | −0.714507 | − | 0.699629i | \(-0.753349\pi\) |
0.699629 | + | 0.714507i | \(0.253349\pi\) | |||||||
\(48\) | −1.24003 | + | 1.24003i | −0.178983 | + | 0.178983i | ||||
\(49\) | −14.2156 | + | 8.20741i | −2.03081 | + | 1.17249i | ||||
\(50\) | −2.45646 | + | 4.35497i | −0.347396 | + | 0.615886i | ||||
\(51\) | −4.31425 | − | 4.31425i | −0.604116 | − | 0.604116i | ||||
\(52\) | −1.30781 | − | 2.26519i | −0.181360 | − | 0.314126i | ||||
\(53\) | −0.698572 | + | 2.60711i | −0.0959563 | + | 0.358114i | −0.997163 | − | 0.0752764i | \(-0.976016\pi\) |
0.901206 | + | 0.433390i | \(0.142683\pi\) | |||||||
\(54\) | 1.32745 | − | 4.95410i | 0.180643 | − | 0.674168i | ||||
\(55\) | 1.99987 | − | 3.50433i | 0.269663 | − | 0.472524i | ||||
\(56\) | 1.25240 | + | 4.67400i | 0.167358 | + | 0.624590i | ||||
\(57\) | −5.60249 | − | 9.70379i | −0.742068 | − | 1.28530i | ||||
\(58\) | 7.05467 | + | 1.89029i | 0.926324 | + | 0.248208i | ||||
\(59\) | −2.77785 | + | 10.3671i | −0.361645 | + | 1.34968i | 0.510267 | + | 0.860016i | \(0.329547\pi\) |
−0.871912 | + | 0.489663i | \(0.837120\pi\) | |||||||
\(60\) | 2.78666 | + | 2.75886i | 0.359756 | + | 0.356167i | ||||
\(61\) | −5.11419 | + | 1.37034i | −0.654805 | + | 0.175454i | −0.570900 | − | 0.821019i | \(-0.693406\pi\) |
−0.0839046 | + | 0.996474i | \(0.526739\pi\) | |||||||
\(62\) | −2.25552 | + | 8.41771i | −0.286451 | + | 1.06905i | ||||
\(63\) | 0.257815 | + | 0.257815i | 0.0324816 | + | 0.0324816i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −5.05040 | + | 2.94971i | −0.626425 | + | 0.365866i | ||||
\(66\) | −2.23755 | − | 2.23755i | −0.275423 | − | 0.275423i | ||||
\(67\) | 9.52300 | − | 2.55168i | 1.16342 | − | 0.311737i | 0.375088 | − | 0.926989i | \(-0.377612\pi\) |
0.788331 | + | 0.615252i | \(0.210946\pi\) | |||||||
\(68\) | 3.47915i | 0.421909i | ||||||||
\(69\) | 3.80333 | + | 14.1942i | 0.457868 | + | 1.70879i | ||||
\(70\) | 10.4372 | − | 2.85280i | 1.24749 | − | 0.340975i | ||||
\(71\) | −5.81858 | + | 10.0781i | −0.690538 | + | 1.19605i | 0.281124 | + | 0.959671i | \(0.409293\pi\) |
−0.971662 | + | 0.236375i | \(0.924041\pi\) | |||||||
\(72\) | 0.0652541 | − | 0.0376745i | 0.00769027 | − | 0.00443998i | ||||
\(73\) | 3.21316 | − | 3.21316i | 0.376072 | − | 0.376072i | −0.493611 | − | 0.869683i | \(-0.664323\pi\) |
0.869683 | + | 0.493611i | \(0.164323\pi\) | |||||||
\(74\) | −3.78288 | + | 4.76338i | −0.439751 | + | 0.553732i | ||||
\(75\) | 6.13767 | − | 6.26200i | 0.708718 | − | 0.723074i | ||||
\(76\) | −1.65371 | + | 6.17174i | −0.189694 | + | 0.707947i | ||||
\(77\) | −8.43391 | + | 2.25986i | −0.961134 | + | 0.257535i | ||||
\(78\) | 1.18718 | + | 4.43063i | 0.134422 | + | 0.501670i | ||||
\(79\) | −13.7202 | + | 3.67632i | −1.54364 | + | 0.413618i | −0.927441 | − | 0.373969i | \(-0.877997\pi\) |
−0.616203 | + | 0.787587i | \(0.711330\pi\) | |||||||
\(80\) | −0.0112097 | − | 2.23604i | −0.00125328 | − | 0.249997i | ||||
\(81\) | −4.61018 | + | 7.98507i | −0.512243 | + | 0.887230i | ||||
\(82\) | − | 2.59045i | − | 0.286067i | ||||||
\(83\) | −4.18715 | + | 15.6267i | −0.459600 | + | 1.71525i | 0.214602 | + | 0.976702i | \(0.431155\pi\) |
−0.674201 | + | 0.738547i | \(0.735512\pi\) | |||||||
\(84\) | − | 8.48579i | − | 0.925876i | ||||||
\(85\) | 7.77951 | − | 0.0390002i | 0.843807 | − | 0.00423017i | ||||
\(86\) | −0.679767 | − | 1.17739i | −0.0733011 | − | 0.126961i | ||||
\(87\) | −11.0920 | − | 6.40399i | −1.18919 | − | 0.686579i | ||||
\(88\) | 1.80443i | 0.192353i | ||||||||
\(89\) | 3.75933 | + | 1.00731i | 0.398489 | + | 0.106775i | 0.452497 | − | 0.891766i | \(-0.350533\pi\) |
−0.0540087 | + | 0.998540i | \(0.517200\pi\) | |||||||
\(90\) | −0.0849731 | − | 0.145488i | −0.00895695 | − | 0.0153358i | ||||
\(91\) | 12.2254 | + | 3.27579i | 1.28157 | + | 0.343396i | ||||
\(92\) | 4.18978 | − | 7.25691i | 0.436815 | − | 0.756585i | ||||
\(93\) | 7.64130 | − | 13.2351i | 0.792366 | − | 1.37242i | ||||
\(94\) | −0.139331 | − | 0.0373337i | −0.0143709 | − | 0.00385067i | ||||
\(95\) | 13.8188 | + | 3.62858i | 1.41778 | + | 0.372285i | ||||
\(96\) | −1.69391 | − | 0.453882i | −0.172884 | − | 0.0463242i | ||||
\(97\) | − | 4.12874i | − | 0.419210i | −0.977786 | − | 0.209605i | \(-0.932782\pi\) | ||
0.977786 | − | 0.209605i | \(-0.0672178\pi\) | |||||||
\(98\) | −14.2156 | − | 8.20741i | −1.43600 | − | 0.829073i | ||||
\(99\) | 0.0679810 | + | 0.117746i | 0.00683234 | + | 0.0118340i | ||||
\(100\) | −4.99975 | + | 0.0501307i | −0.499975 | + | 0.00501307i | ||||
\(101\) | − | 8.73904i | − | 0.869567i | −0.900535 | − | 0.434783i | \(-0.856825\pi\) | ||
0.900535 | − | 0.434783i | \(-0.143175\pi\) | |||||||
\(102\) | 1.57912 | − | 5.89337i | 0.156357 | − | 0.583531i | ||||
\(103\) | − | 1.19613i | − | 0.117858i | −0.998262 | − | 0.0589289i | \(-0.981231\pi\) | ||
0.998262 | − | 0.0589289i | \(-0.0187685\pi\) | |||||||
\(104\) | 1.30781 | − | 2.26519i | 0.128241 | − | 0.222120i | ||||
\(105\) | −18.9746 | + | 0.0951233i | −1.85173 | + | 0.00928308i | ||||
\(106\) | −2.60711 | + | 0.698572i | −0.253225 | + | 0.0678513i | ||||
\(107\) | −0.356896 | − | 1.33196i | −0.0345025 | − | 0.128765i | 0.946527 | − | 0.322626i | \(-0.104566\pi\) |
−0.981029 | + | 0.193861i | \(0.937899\pi\) | |||||||
\(108\) | 4.95410 | − | 1.32745i | 0.476709 | − | 0.127734i | ||||
\(109\) | 0.635304 | − | 2.37099i | 0.0608511 | − | 0.227099i | −0.928803 | − | 0.370574i | \(-0.879161\pi\) |
0.989654 | + | 0.143475i | \(0.0458276\pi\) | |||||||
\(110\) | 4.03478 | − | 0.0202271i | 0.384701 | − | 0.00192858i | ||||
\(111\) | 8.56988 | − | 6.35177i | 0.813417 | − | 0.602883i | ||||
\(112\) | −3.42161 | + | 3.42161i | −0.323312 | + | 0.323312i | ||||
\(113\) | 7.28479 | − | 4.20588i | 0.685296 | − | 0.395656i | −0.116552 | − | 0.993185i | \(-0.537184\pi\) |
0.801847 | + | 0.597529i | \(0.203851\pi\) | |||||||
\(114\) | 5.60249 | − | 9.70379i | 0.524721 | − | 0.908844i | ||||
\(115\) | −16.2737 | − | 9.28716i | −1.51753 | − | 0.866033i | ||||
\(116\) | 1.89029 | + | 7.05467i | 0.175509 | + | 0.655010i | ||||
\(117\) | − | 0.197084i | − | 0.0182204i | ||||||
\(118\) | −10.3671 | + | 2.77785i | −0.954367 | + | 0.255722i | ||||
\(119\) | −11.9043 | − | 11.9043i | −1.09126 | − | 1.09126i | ||||
\(120\) | −0.995911 | + | 3.79274i | −0.0909138 | + | 0.346229i | ||||
\(121\) | 7.74403 | 0.704003 | ||||||||
\(122\) | −3.74385 | − | 3.74385i | −0.338952 | − | 0.338952i | ||||
\(123\) | −1.17576 | + | 4.38799i | −0.106015 | + | 0.395652i | ||||
\(124\) | −8.41771 | + | 2.25552i | −0.755932 | + | 0.202551i | ||||
\(125\) | 0.168140 | + | 11.1791i | 0.0150389 | + | 0.999887i | ||||
\(126\) | −0.0943667 | + | 0.352181i | −0.00840685 | + | 0.0313748i | ||||
\(127\) | 10.1458 | + | 2.71856i | 0.900294 | + | 0.241233i | 0.679142 | − | 0.734006i | \(-0.262352\pi\) |
0.221151 | + | 0.975239i | \(0.429018\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 0.617069 | + | 2.30293i | 0.0543299 | + | 0.202762i | ||||
\(130\) | −5.07972 | − | 2.89892i | −0.445521 | − | 0.254252i | ||||
\(131\) | 3.08960 | − | 11.5306i | 0.269940 | − | 1.00743i | −0.689217 | − | 0.724555i | \(-0.742045\pi\) |
0.959157 | − | 0.282875i | \(-0.0912880\pi\) | |||||||
\(132\) | 0.818999 | − | 3.05655i | 0.0712847 | − | 0.266038i | ||||
\(133\) | −15.4589 | − | 26.7756i | −1.34046 | − | 2.32174i | ||||
\(134\) | 6.97132 | + | 6.97132i | 0.602230 | + | 0.602230i | ||||
\(135\) | −3.02376 | − | 11.0627i | −0.260244 | − | 0.952125i | ||||
\(136\) | −3.01303 | + | 1.73957i | −0.258365 | + | 0.149167i | ||||
\(137\) | −3.06772 | + | 3.06772i | −0.262093 | + | 0.262093i | −0.825904 | − | 0.563811i | \(-0.809335\pi\) |
0.563811 | + | 0.825904i | \(0.309335\pi\) | |||||||
\(138\) | −10.3909 | + | 10.3909i | −0.884532 | + | 0.884532i | ||||
\(139\) | 4.71138 | + | 8.16035i | 0.399614 | + | 0.692152i | 0.993678 | − | 0.112266i | \(-0.0358108\pi\) |
−0.594064 | + | 0.804418i | \(0.702477\pi\) | |||||||
\(140\) | 7.68921 | + | 7.61250i | 0.649857 | + | 0.643374i | ||||
\(141\) | 0.219070 | + | 0.126480i | 0.0184490 | + | 0.0106515i | ||||
\(142\) | −11.6372 | −0.976568 | ||||||||
\(143\) | 4.08738 | + | 2.35985i | 0.341804 | + | 0.197341i | ||||
\(144\) | 0.0652541 | + | 0.0376745i | 0.00543784 | + | 0.00313954i | ||||
\(145\) | 15.7533 | − | 4.30585i | 1.30824 | − | 0.357582i | ||||
\(146\) | 4.38926 | + | 1.17610i | 0.363258 | + | 0.0973346i | ||||
\(147\) | 20.3549 | + | 20.3549i | 1.67884 | + | 1.67884i | ||||
\(148\) | −6.01665 | − | 0.894379i | −0.494566 | − | 0.0735175i | ||||
\(149\) | − | 13.1713i | − | 1.07904i | −0.841974 | − | 0.539518i | \(-0.818606\pi\) | ||
0.841974 | − | 0.539518i | \(-0.181394\pi\) | |||||||
\(150\) | 8.49189 | + | 2.18438i | 0.693360 | + | 0.178354i | ||||
\(151\) | 9.11356 | + | 5.26172i | 0.741651 | + | 0.428192i | 0.822669 | − | 0.568520i | \(-0.192484\pi\) |
−0.0810182 | + | 0.996713i | \(0.525817\pi\) | |||||||
\(152\) | −6.17174 | + | 1.65371i | −0.500594 | + | 0.134134i | ||||
\(153\) | −0.131075 | + | 0.227029i | −0.0105968 | + | 0.0183542i | ||||
\(154\) | −6.17405 | − | 6.17405i | −0.497519 | − | 0.497519i | ||||
\(155\) | 5.13779 | + | 18.7970i | 0.412677 | + | 1.50982i | ||||
\(156\) | −3.24344 | + | 3.24344i | −0.259683 | + | 0.259683i | ||||
\(157\) | −2.98011 | − | 0.798519i | −0.237839 | − | 0.0637287i | 0.137931 | − | 0.990442i | \(-0.455955\pi\) |
−0.375770 | + | 0.926713i | \(0.622622\pi\) | |||||||
\(158\) | −10.0439 | − | 10.0439i | −0.799049 | − | 0.799049i | ||||
\(159\) | 4.73328 | 0.375374 | ||||||||
\(160\) | 1.93086 | − | 1.12773i | 0.152648 | − | 0.0891547i | ||||
\(161\) | 10.4945 | + | 39.1661i | 0.827084 | + | 3.08672i | ||||
\(162\) | −9.22037 | −0.724421 | ||||||||
\(163\) | 7.99556 | − | 4.61624i | 0.626260 | − | 0.361572i | −0.153042 | − | 0.988220i | \(-0.548907\pi\) |
0.779302 | + | 0.626648i | \(0.215574\pi\) | |||||||
\(164\) | 2.24339 | − | 1.29522i | 0.175180 | − | 0.101140i | ||||
\(165\) | −6.84374 | − | 1.79705i | −0.532784 | − | 0.139900i | ||||
\(166\) | −15.6267 | + | 4.18715i | −1.21286 | + | 0.324986i | ||||
\(167\) | 5.20455 | + | 3.00485i | 0.402740 | + | 0.232522i | 0.687666 | − | 0.726028i | \(-0.258636\pi\) |
−0.284926 | + | 0.958550i | \(0.591969\pi\) | |||||||
\(168\) | 7.34891 | − | 4.24290i | 0.566981 | − | 0.327347i | ||||
\(169\) | 3.07927 | + | 5.33346i | 0.236867 | + | 0.410266i | ||||
\(170\) | 3.92353 | + | 6.71776i | 0.300921 | + | 0.515228i | ||||
\(171\) | −0.340429 | + | 0.340429i | −0.0260332 | + | 0.0260332i | ||||
\(172\) | 0.679767 | − | 1.17739i | 0.0518317 | − | 0.0897752i | ||||
\(173\) | −0.380133 | − | 0.101856i | −0.0289010 | − | 0.00774399i | 0.244340 | − | 0.969690i | \(-0.421429\pi\) |
−0.273241 | + | 0.961946i | \(0.588096\pi\) | |||||||
\(174\) | − | 12.8080i | − | 0.970970i | ||||||
\(175\) | 16.9357 | − | 17.2787i | 1.28022 | − | 1.30615i | ||||
\(176\) | −1.56268 | + | 0.902215i | −0.117792 | + | 0.0680070i | ||||
\(177\) | 18.8217 | 1.41473 | ||||||||
\(178\) | 1.00731 | + | 3.75933i | 0.0755011 | + | 0.281774i | ||||
\(179\) | 6.13609 | − | 6.13609i | 0.458633 | − | 0.458633i | −0.439573 | − | 0.898207i | \(-0.644870\pi\) |
0.898207 | + | 0.439573i | \(0.144870\pi\) | |||||||
\(180\) | 0.0835102 | − | 0.146333i | 0.00622448 | − | 0.0109070i | ||||
\(181\) | −3.50429 | + | 6.06961i | −0.260472 | + | 0.451151i | −0.966367 | − | 0.257165i | \(-0.917211\pi\) |
0.705896 | + | 0.708316i | \(0.250545\pi\) | |||||||
\(182\) | 3.27579 | + | 12.2254i | 0.242818 | + | 0.906208i | ||||
\(183\) | 4.64248 | + | 8.04102i | 0.343182 | + | 0.594409i | ||||
\(184\) | 8.37956 | 0.617749 | ||||||||
\(185\) | −1.93242 | + | 13.4635i | −0.142075 | + | 0.989856i | ||||
\(186\) | 15.2826 | 1.12057 | ||||||||
\(187\) | −3.13894 | − | 5.43680i | −0.229542 | − | 0.397578i | ||||
\(188\) | −0.0373337 | − | 0.139331i | −0.00272284 | − | 0.0101618i | ||||
\(189\) | −12.4090 | + | 21.4930i | −0.902622 | + | 1.56339i | ||||
\(190\) | 3.76695 | + | 13.7817i | 0.273283 | + | 0.999831i | ||||
\(191\) | 5.41763 | − | 5.41763i | 0.392006 | − | 0.392006i | −0.483396 | − | 0.875402i | \(-0.660597\pi\) |
0.875402 | + | 0.483396i | \(0.160597\pi\) | |||||||
\(192\) | −0.453882 | − | 1.69391i | −0.0327561 | − | 0.122248i | ||||
\(193\) | 9.91460 | 0.713668 | 0.356834 | − | 0.934168i | \(-0.383856\pi\) | ||||
0.356834 | + | 0.934168i | \(0.383856\pi\) | |||||||
\(194\) | 3.57559 | − | 2.06437i | 0.256713 | − | 0.148213i | ||||
\(195\) | 7.28883 | + | 7.21611i | 0.521964 | + | 0.516757i | ||||
\(196\) | − | 16.4148i | − | 1.17249i | ||||||
\(197\) | −7.20563 | − | 1.93074i | −0.513380 | − | 0.137560i | −0.00717713 | − | 0.999974i | \(-0.502285\pi\) |
−0.506203 | + | 0.862415i | \(0.668951\pi\) | |||||||
\(198\) | −0.0679810 | + | 0.117746i | −0.00483120 | + | 0.00836788i | ||||
\(199\) | 6.16248 | − | 6.16248i | 0.436847 | − | 0.436847i | −0.454103 | − | 0.890949i | \(-0.650040\pi\) |
0.890949 | + | 0.454103i | \(0.150040\pi\) | |||||||
\(200\) | −2.54329 | − | 4.30484i | −0.179838 | − | 0.304398i | ||||
\(201\) | −8.64464 | − | 14.9730i | −0.609746 | − | 1.05611i | ||||
\(202\) | 7.56823 | − | 4.36952i | 0.532499 | − | 0.307438i | ||||
\(203\) | −30.6062 | − | 17.6705i | −2.14813 | − | 1.24023i | ||||
\(204\) | 5.89337 | − | 1.57912i | 0.412619 | − | 0.110561i | ||||
\(205\) | −2.92132 | − | 5.00180i | −0.204034 | − | 0.349341i | ||||
\(206\) | 1.03587 | − | 0.598063i | 0.0721728 | − | 0.0416690i | ||||
\(207\) | 0.546801 | − | 0.315695i | 0.0380053 | − | 0.0219424i | ||||
\(208\) | 2.61562 | 0.181360 | ||||||||
\(209\) | −2.98401 | − | 11.1365i | −0.206408 | − | 0.770326i | ||||
\(210\) | −9.56967 | − | 16.3849i | −0.660370 | − | 1.13067i | ||||
\(211\) | 3.61934 | 0.249166 | 0.124583 | − | 0.992209i | \(-0.460241\pi\) | ||||
0.124583 | + | 0.992209i | \(0.460241\pi\) | |||||||
\(212\) | −1.90853 | − | 1.90853i | −0.131079 | − | 0.131079i | ||||
\(213\) | 19.7123 | + | 5.28190i | 1.35067 | + | 0.361910i | ||||
\(214\) | 0.975059 | − | 0.975059i | 0.0666537 | − | 0.0666537i | ||||
\(215\) | −2.64031 | − | 1.50679i | −0.180068 | − | 0.102762i | ||||
\(216\) | 3.62666 | + | 3.62666i | 0.246763 | + | 0.246763i | ||||
\(217\) | 21.0846 | − | 36.5196i | 1.43132 | − | 2.47911i | ||||
\(218\) | 2.37099 | − | 0.635304i | 0.160583 | − | 0.0430282i | ||||
\(219\) | −6.90121 | − | 3.98442i | −0.466341 | − | 0.269242i | ||||
\(220\) | 2.03491 | + | 3.48411i | 0.137193 | + | 0.234898i | ||||
\(221\) | 9.10012i | 0.612140i | ||||||||
\(222\) | 9.78574 | + | 4.24585i | 0.656776 | + | 0.284963i | ||||
\(223\) | 2.55180 | + | 2.55180i | 0.170881 | + | 0.170881i | 0.787366 | − | 0.616485i | \(-0.211444\pi\) |
−0.616485 | + | 0.787366i | \(0.711444\pi\) | |||||||
\(224\) | −4.67400 | − | 1.25240i | −0.312295 | − | 0.0836792i | ||||
\(225\) | −0.328143 | − | 0.185092i | −0.0218762 | − | 0.0123394i | ||||
\(226\) | 7.28479 | + | 4.20588i | 0.484577 | + | 0.279771i | ||||
\(227\) | −10.7831 | − | 6.22565i | −0.715703 | − | 0.413211i | 0.0974662 | − | 0.995239i | \(-0.468926\pi\) |
−0.813169 | + | 0.582028i | \(0.802260\pi\) | |||||||
\(228\) | 11.2050 | 0.742068 | ||||||||
\(229\) | −15.5682 | − | 8.98833i | −1.02878 | − | 0.593965i | −0.112144 | − | 0.993692i | \(-0.535772\pi\) |
−0.916634 | + | 0.399727i | \(0.869105\pi\) | |||||||
\(230\) | −0.0939324 | − | 18.7370i | −0.00619372 | − | 1.23548i | ||||
\(231\) | 7.65601 | + | 13.2606i | 0.503729 | + | 0.872483i | ||||
\(232\) | −5.16438 | + | 5.16438i | −0.339058 | + | 0.339058i | ||||
\(233\) | −9.77692 | + | 9.77692i | −0.640507 | + | 0.640507i | −0.950680 | − | 0.310173i | \(-0.899613\pi\) |
0.310173 | + | 0.950680i | \(0.399613\pi\) | |||||||
\(234\) | 0.170680 | − | 0.0985420i | 0.0111577 | − | 0.00644189i | ||||
\(235\) | −0.311131 | + | 0.0850414i | −0.0202960 | + | 0.00554749i | ||||
\(236\) | −7.58923 | − | 7.58923i | −0.494017 | − | 0.494017i | ||||
\(237\) | 12.4547 | + | 21.5722i | 0.809021 | + | 1.40127i | ||||
\(238\) | 4.35727 | − | 16.2616i | 0.282440 | − | 1.05408i | ||||
\(239\) | −7.64800 | + | 28.5427i | −0.494708 | + | 1.84627i | 0.0369533 | + | 0.999317i | \(0.488235\pi\) |
−0.531661 | + | 0.846957i | \(0.678432\pi\) | |||||||
\(240\) | −3.78257 | + | 1.03389i | −0.244164 | + | 0.0667372i | ||||
\(241\) | −2.75650 | − | 10.2874i | −0.177562 | − | 0.662669i | −0.996101 | − | 0.0882189i | \(-0.971883\pi\) |
0.818539 | − | 0.574450i | \(-0.194784\pi\) | |||||||
\(242\) | 3.87202 | + | 6.70653i | 0.248903 | + | 0.431112i | ||||
\(243\) | 0.756190 | + | 0.202621i | 0.0485096 | + | 0.0129981i | ||||
\(244\) | 1.37034 | − | 5.11419i | 0.0877272 | − | 0.327403i | ||||
\(245\) | −36.7042 | + | 0.184005i | −2.34494 | + | 0.0117557i | ||||
\(246\) | −4.38799 | + | 1.17576i | −0.279768 | + | 0.0749637i | ||||
\(247\) | −4.32548 | + | 16.1429i | −0.275224 | + | 1.02715i | ||||
\(248\) | −6.16219 | − | 6.16219i | −0.391299 | − | 0.391299i | ||||
\(249\) | 28.3707 | 1.79792 | ||||||||
\(250\) | −9.59729 | + | 5.73515i | −0.606986 | + | 0.362723i | ||||
\(251\) | −18.6677 | − | 18.6677i | −1.17829 | − | 1.17829i | −0.980179 | − | 0.198116i | \(-0.936518\pi\) |
−0.198116 | − | 0.980179i | \(-0.563482\pi\) | |||||||
\(252\) | −0.352181 | + | 0.0943667i | −0.0221853 | + | 0.00594454i | ||||
\(253\) | 15.1203i | 0.950607i | ||||||||
\(254\) | 2.71856 | + | 10.1458i | 0.170578 | + | 0.636604i | ||||
\(255\) | −3.59705 | − | 13.1601i | −0.225256 | − | 0.824118i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −12.3176 | + | 7.11154i | −0.768348 | + | 0.443606i | −0.832285 | − | 0.554348i | \(-0.812968\pi\) |
0.0639371 | + | 0.997954i | \(0.479634\pi\) | |||||||
\(258\) | −1.68586 | + | 1.68586i | −0.104957 | + | 0.104957i | ||||
\(259\) | 23.6468 | − | 17.5264i | 1.46934 | − | 1.08904i | ||||
\(260\) | −0.0293203 | − | 5.84863i | −0.00181837 | − | 0.362716i | ||||
\(261\) | −0.142432 | + | 0.531562i | −0.00881630 | + | 0.0329029i | ||||
\(262\) | 11.5306 | − | 3.08960i | 0.712360 | − | 0.190876i | ||||
\(263\) | 5.12046 | + | 19.1098i | 0.315741 | + | 1.17836i | 0.923298 | + | 0.384085i | \(0.125483\pi\) |
−0.607557 | + | 0.794276i | \(0.707850\pi\) | |||||||
\(264\) | 3.05655 | − | 0.818999i | 0.188117 | − | 0.0504059i | ||||
\(265\) | −4.24617 | + | 4.28895i | −0.260840 | + | 0.263468i | ||||
\(266\) | 15.4589 | − | 26.7756i | 0.947847 | − | 1.64172i | ||||
\(267\) | − | 6.82518i | − | 0.417694i | ||||||
\(268\) | −2.55168 | + | 9.52300i | −0.155869 | + | 0.581710i | ||||
\(269\) | 3.15145i | 0.192147i | 0.995374 | + | 0.0960736i | \(0.0306284\pi\) | ||||
−0.995374 | + | 0.0960736i | \(0.969372\pi\) | |||||||
\(270\) | 8.06869 | − | 8.15000i | 0.491045 | − | 0.495993i | ||||
\(271\) | −6.30478 | − | 10.9202i | −0.382988 | − | 0.663355i | 0.608500 | − | 0.793554i | \(-0.291772\pi\) |
−0.991488 | + | 0.130199i | \(0.958438\pi\) | |||||||
\(272\) | −3.01303 | − | 1.73957i | −0.182692 | − | 0.105477i | ||||
\(273\) | − | 22.1956i | − | 1.34334i | ||||||
\(274\) | −4.19059 | − | 1.12287i | −0.253163 | − | 0.0678348i | ||||
\(275\) | 7.76779 | − | 4.58919i | 0.468415 | − | 0.276738i | ||||
\(276\) | −14.1942 | − | 3.80333i | −0.854393 | − | 0.228934i | ||||
\(277\) | 1.64510 | − | 2.84940i | 0.0988448 | − | 0.171204i | −0.812362 | − | 0.583154i | \(-0.801819\pi\) |
0.911207 | + | 0.411949i | \(0.135152\pi\) | |||||||
\(278\) | −4.71138 | + | 8.16035i | −0.282570 | + | 0.489425i | ||||
\(279\) | −0.634265 | − | 0.169951i | −0.0379725 | − | 0.0101747i | ||||
\(280\) | −2.74801 | + | 10.4653i | −0.164225 | + | 0.625421i | ||||
\(281\) | 0.778302 | + | 0.208545i | 0.0464296 | + | 0.0124408i | 0.281959 | − | 0.959426i | \(-0.409016\pi\) |
−0.235529 | + | 0.971867i | \(0.575682\pi\) | |||||||
\(282\) | 0.252960i | 0.0150635i | ||||||||
\(283\) | 10.6557 | + | 6.15205i | 0.633413 | + | 0.365701i | 0.782073 | − | 0.623187i | \(-0.214163\pi\) |
−0.148660 | + | 0.988888i | \(0.547496\pi\) | |||||||
\(284\) | −5.81858 | − | 10.0781i | −0.345269 | − | 0.598023i | ||||
\(285\) | −0.125604 | − | 25.0548i | −0.00744017 | − | 1.48412i | ||||
\(286\) | 4.71970i | 0.279082i | ||||||||
\(287\) | −3.24427 | + | 12.1078i | −0.191503 | + | 0.714699i | ||||
\(288\) | 0.0753490i | 0.00443998i | ||||||||
\(289\) | −2.44776 | + | 4.23965i | −0.143986 | + | 0.249391i | ||||
\(290\) | 11.6057 | + | 11.4899i | 0.681507 | + | 0.674708i | ||||
\(291\) | −6.99372 | + | 1.87396i | −0.409979 | + | 0.109854i | ||||
\(292\) | 1.17610 | + | 4.38926i | 0.0688260 | + | 0.256862i | ||||
\(293\) | −11.5868 | + | 3.10467i | −0.676907 | + | 0.181377i | −0.580864 | − | 0.814000i | \(-0.697285\pi\) |
−0.0960429 | + | 0.995377i | \(0.530619\pi\) | |||||||
\(294\) | −7.45039 | + | 27.8053i | −0.434516 | + | 1.62164i | ||||
\(295\) | −16.8847 | + | 17.0549i | −0.983068 | + | 0.992974i | ||||
\(296\) | −2.23377 | − | 5.65776i | −0.129835 | − | 0.328851i | ||||
\(297\) | −6.54404 | + | 6.54404i | −0.379724 | + | 0.379724i | ||||
\(298\) | 11.4067 | − | 6.58566i | 0.660772 | − | 0.381497i | ||||
\(299\) | 10.9589 | − | 18.9813i | 0.633767 | − | 1.09772i | ||||
\(300\) | 2.35422 | + | 8.44638i | 0.135921 | + | 0.487652i | ||||
\(301\) | 1.70267 | + | 6.35447i | 0.0981405 | + | 0.366265i | ||||
\(302\) | 10.5234i | 0.605556i | ||||||||
\(303\) | −14.8032 | + | 3.96650i | −0.850420 | + | 0.227869i | ||||
\(304\) | −4.51803 | − | 4.51803i | −0.259127 | − | 0.259127i | ||||
\(305\) | −11.4509 | − | 3.00681i | −0.655676 | − | 0.172170i | ||||
\(306\) | −0.262150 | −0.0149861 | ||||||||
\(307\) | −19.1278 | − | 19.1278i | −1.09168 | − | 1.09168i | −0.995349 | − | 0.0963307i | \(-0.969289\pi\) |
−0.0963307 | − | 0.995349i | \(-0.530711\pi\) | |||||||
\(308\) | 2.25986 | − | 8.43391i | 0.128767 | − | 0.480567i | ||||
\(309\) | −2.02613 | + | 0.542900i | −0.115263 | + | 0.0308845i | ||||
\(310\) | −13.7098 | + | 13.8480i | −0.778666 | + | 0.786512i | ||||
\(311\) | 3.57605 | − | 13.3460i | 0.202779 | − | 0.756782i | −0.787336 | − | 0.616524i | \(-0.788540\pi\) |
0.990115 | − | 0.140258i | \(-0.0447931\pi\) | |||||||
\(312\) | −4.43063 | − | 1.18718i | −0.250835 | − | 0.0672110i | ||||
\(313\) | −1.91505 | − | 3.31696i | −0.108245 | − | 0.187486i | 0.806814 | − | 0.590805i | \(-0.201190\pi\) |
−0.915059 | + | 0.403319i | \(0.867856\pi\) | |||||||
\(314\) | −0.798519 | − | 2.98011i | −0.0450630 | − | 0.168178i | ||||
\(315\) | 0.214956 | + | 0.786434i | 0.0121114 | + | 0.0443105i | ||||
\(316\) | 3.67632 | − | 13.7202i | 0.206809 | − | 0.771822i | ||||
\(317\) | 2.00879 | − | 7.49692i | 0.112825 | − | 0.421069i | −0.886290 | − | 0.463131i | \(-0.846726\pi\) |
0.999115 | + | 0.0420620i | \(0.0133927\pi\) | |||||||
\(318\) | 2.36664 | + | 4.09914i | 0.132715 | + | 0.229868i | ||||
\(319\) | −9.31876 | − | 9.31876i | −0.521750 | − | 0.521750i | ||||
\(320\) | 1.94207 | + | 1.10831i | 0.108565 | + | 0.0619565i | ||||
\(321\) | −2.09423 | + | 1.20910i | −0.116888 | + | 0.0674855i | ||||
\(322\) | −28.6716 | + | 28.6716i | −1.59780 | + | 1.59780i | ||||
\(323\) | 15.7189 | − | 15.7189i | 0.874622 | − | 0.874622i | ||||
\(324\) | −4.61018 | − | 7.98507i | −0.256121 | − | 0.443615i | ||||
\(325\) | −13.0774 | + | 0.131123i | −0.725405 | + | 0.00727338i | ||||
\(326\) | 7.99556 | + | 4.61624i | 0.442833 | + | 0.255670i | ||||
\(327\) | −4.30460 | −0.238045 | ||||||||
\(328\) | 2.24339 | + | 1.29522i | 0.123871 | + | 0.0715168i | ||||
\(329\) | 0.604478 | + | 0.348995i | 0.0333259 | + | 0.0192407i | ||||
\(330\) | −1.86558 | − | 6.82538i | −0.102697 | − | 0.375725i | ||||
\(331\) | 3.24978 | + | 0.870777i | 0.178624 | + | 0.0478622i | 0.347022 | − | 0.937857i | \(-0.387193\pi\) |
−0.168398 | + | 0.985719i | \(0.553859\pi\) | |||||||
\(332\) | −11.4395 | − | 11.4395i | −0.627825 | − | 0.627825i | ||||
\(333\) | −0.358916 | − | 0.285036i | −0.0196685 | − | 0.0156199i | ||||
\(334\) | 6.00969i | 0.328836i | ||||||||
\(335\) | 21.3224 | + | 5.59891i | 1.16497 | + | 0.305901i | ||||
\(336\) | 7.34891 | + | 4.24290i | 0.400916 | + | 0.231469i | ||||
\(337\) | 2.76951 | − | 0.742087i | 0.150865 | − | 0.0404240i | −0.182596 | − | 0.983188i | \(-0.558450\pi\) |
0.333461 | + | 0.942764i | \(0.391783\pi\) | |||||||
\(338\) | −3.07927 | + | 5.33346i | −0.167490 | + | 0.290102i | ||||
\(339\) | −10.4308 | − | 10.4308i | −0.566525 | − | 0.566525i | ||||
\(340\) | −3.85598 | + | 6.75676i | −0.209120 | + | 0.366437i | ||||
\(341\) | 11.1192 | − | 11.1192i | 0.602141 | − | 0.602141i | ||||
\(342\) | −0.465034 | − | 0.124606i | −0.0251462 | − | 0.00673789i | ||||
\(343\) | 32.2138 | + | 32.2138i | 1.73938 | + | 1.73938i | ||||
\(344\) | 1.35953 | 0.0733011 | ||||||||
\(345\) | −8.34529 | + | 31.7815i | −0.449296 | + | 1.71106i | ||||
\(346\) | −0.101856 | − | 0.380133i | −0.00547583 | − | 0.0204361i | ||||
\(347\) | 13.5539 | 0.727613 | 0.363807 | − | 0.931474i | \(-0.381477\pi\) | ||||
0.363807 | + | 0.931474i | \(0.381477\pi\) | |||||||
\(348\) | 11.0920 | − | 6.40399i | 0.594595 | − | 0.343290i | ||||
\(349\) | −0.794285 | + | 0.458581i | −0.0425171 | + | 0.0245473i | −0.521108 | − | 0.853491i | \(-0.674481\pi\) |
0.478591 | + | 0.878038i | \(0.341148\pi\) | |||||||
\(350\) | 23.4316 | + | 6.02735i | 1.25247 | + | 0.322176i | ||||
\(351\) | 12.9580 | − | 3.47210i | 0.691649 | − | 0.185327i | ||||
\(352\) | −1.56268 | − | 0.902215i | −0.0832912 | − | 0.0480882i | ||||
\(353\) | −11.6101 | + | 6.70307i | −0.617941 | + | 0.356768i | −0.776067 | − | 0.630651i | \(-0.782788\pi\) |
0.158126 | + | 0.987419i | \(0.449455\pi\) | |||||||
\(354\) | 9.41087 | + | 16.3001i | 0.500182 | + | 0.866341i | ||||
\(355\) | −22.4697 | + | 13.1235i | −1.19257 | + | 0.696525i | ||||
\(356\) | −2.75202 | + | 2.75202i | −0.145857 | + | 0.145857i | ||||
\(357\) | −14.7617 | + | 25.5680i | −0.781270 | + | 1.35320i | ||||
\(358\) | 8.38206 | + | 2.24597i | 0.443006 | + | 0.118703i | ||||
\(359\) | 16.4314i | 0.867219i | 0.901101 | + | 0.433609i | \(0.142760\pi\) | ||||
−0.901101 | + | 0.433609i | \(0.857240\pi\) | |||||||
\(360\) | 0.168483 | 0.000844640i | 0.00887985 | 4.45164e-5i | ||||||
\(361\) | 18.9011 | − | 10.9126i | 0.994795 | − | 0.574345i | ||||
\(362\) | −7.00858 | −0.368363 | ||||||||
\(363\) | −3.51488 | − | 13.1177i | −0.184483 | − | 0.688501i | ||||
\(364\) | −8.94962 | + | 8.94962i | −0.469088 | + | 0.469088i | ||||
\(365\) | 9.80138 | − | 2.67901i | 0.513028 | − | 0.140226i | ||||
\(366\) | −4.64248 | + | 8.04102i | −0.242666 | + | 0.420311i | ||||
\(367\) | −5.83154 | − | 21.7636i | −0.304404 | − | 1.13605i | −0.933457 | − | 0.358688i | \(-0.883224\pi\) |
0.629054 | − | 0.777362i | \(-0.283443\pi\) | |||||||
\(368\) | 4.18978 | + | 7.25691i | 0.218407 | + | 0.378293i | ||||
\(369\) | 0.195188 | 0.0101611 | ||||||||
\(370\) | −12.6259 | + | 5.05822i | −0.656391 | + | 0.262964i | ||||
\(371\) | 13.0605 | 0.678068 | ||||||||
\(372\) | 7.64130 | + | 13.2351i | 0.396183 | + | 0.686209i | ||||
\(373\) | 0.409211 | + | 1.52720i | 0.0211881 | + | 0.0790752i | 0.975710 | − | 0.219065i | \(-0.0703005\pi\) |
−0.954522 | + | 0.298140i | \(0.903634\pi\) | |||||||
\(374\) | 3.13894 | − | 5.43680i | 0.162311 | − | 0.281130i | ||||
\(375\) | 18.8601 | − | 5.35880i | 0.973929 | − | 0.276727i | ||||
\(376\) | 0.101997 | − | 0.101997i | 0.00526012 | − | 0.00526012i | ||||
\(377\) | 4.94429 | + | 18.4523i | 0.254644 | + | 0.950343i | ||||
\(378\) | −24.8180 | −1.27650 | ||||||||
\(379\) | −2.59270 | + | 1.49690i | −0.133178 | + | 0.0768904i | −0.565109 | − | 0.825016i | \(-0.691166\pi\) |
0.431931 | + | 0.901907i | \(0.357833\pi\) | |||||||
\(380\) | −10.0518 | + | 10.1531i | −0.515649 | + | 0.520845i | ||||
\(381\) | − | 18.4200i | − | 0.943685i | ||||||
\(382\) | 7.40061 | + | 1.98299i | 0.378648 | + | 0.101459i | ||||
\(383\) | −1.07120 | + | 1.85538i | −0.0547358 | + | 0.0948053i | −0.892095 | − | 0.451848i | \(-0.850765\pi\) |
0.837359 | + | 0.546653i | \(0.184098\pi\) | |||||||
\(384\) | 1.24003 | − | 1.24003i | 0.0632800 | − | 0.0632800i | ||||
\(385\) | −18.8839 | − | 4.95860i | −0.962413 | − | 0.252713i | ||||
\(386\) | 4.95730 | + | 8.58629i | 0.252320 | + | 0.437031i | ||||
\(387\) | 0.0887152 | − | 0.0512197i | 0.00450965 | − | 0.00260364i | ||||
\(388\) | 3.57559 | + | 2.06437i | 0.181523 | + | 0.104802i | ||||
\(389\) | −11.7125 | + | 3.13836i | −0.593848 | + | 0.159121i | −0.543211 | − | 0.839596i | \(-0.682792\pi\) |
−0.0506365 | + | 0.998717i | \(0.516125\pi\) | |||||||
\(390\) | −2.60492 | + | 9.92037i | −0.131905 | + | 0.502337i | ||||
\(391\) | −25.2479 | + | 14.5769i | −1.27684 | + | 0.737184i | ||||
\(392\) | 14.2156 | − | 8.20741i | 0.717998 | − | 0.414537i | ||||
\(393\) | −20.9341 | −1.05598 | ||||||||
\(394\) | −1.93074 | − | 7.20563i | −0.0972694 | − | 0.363014i | ||||
\(395\) | −30.7201 | − | 8.06660i | −1.54570 | − | 0.405875i | ||||
\(396\) | −0.135962 | −0.00683234 | ||||||||
\(397\) | 15.5183 | + | 15.5183i | 0.778843 | + | 0.778843i | 0.979634 | − | 0.200791i | \(-0.0643513\pi\) |
−0.200791 | + | 0.979634i | \(0.564351\pi\) | |||||||
\(398\) | 8.41810 | + | 2.25562i | 0.421961 | + | 0.113064i | ||||
\(399\) | −38.3390 | + | 38.3390i | −1.91935 | + | 1.91935i | ||||
\(400\) | 2.45646 | − | 4.35497i | 0.122823 | − | 0.217749i | ||||
\(401\) | −13.6332 | − | 13.6332i | −0.680808 | − | 0.680808i | 0.279375 | − | 0.960182i | \(-0.409873\pi\) |
−0.960182 | + | 0.279375i | \(0.909873\pi\) | |||||||
\(402\) | 8.64464 | − | 14.9730i | 0.431156 | − | 0.746783i | ||||
\(403\) | −22.0175 | + | 5.89957i | −1.09677 | + | 0.293879i | ||||
\(404\) | 7.56823 | + | 4.36952i | 0.376534 | + | 0.217392i | ||||
\(405\) | −17.8033 | + | 10.3981i | −0.884651 | + | 0.516684i | ||||
\(406\) | − | 35.3410i | − | 1.75394i | ||||||
\(407\) | 10.2090 | − | 4.03068i | 0.506043 | − | 0.199793i | ||||
\(408\) | 4.31425 | + | 4.31425i | 0.213587 | + | 0.213587i | ||||
\(409\) | 24.9978 | + | 6.69813i | 1.23606 | + | 0.331201i | 0.816936 | − | 0.576728i | \(-0.195671\pi\) |
0.419124 | + | 0.907929i | \(0.362337\pi\) | |||||||
\(410\) | 2.87103 | − | 5.03084i | 0.141790 | − | 0.248455i | ||||
\(411\) | 6.58884 | + | 3.80407i | 0.325004 | + | 0.187641i | ||||
\(412\) | 1.03587 | + | 0.598063i | 0.0510339 | + | 0.0294644i | ||||
\(413\) | 51.9347 | 2.55554 | ||||||||
\(414\) | 0.546801 | + | 0.315695i | 0.0268738 | + | 0.0155156i | ||||
\(415\) | −25.4510 | + | 25.7074i | −1.24934 | + | 1.26193i | ||||
\(416\) | 1.30781 | + | 2.26519i | 0.0641206 | + | 0.111060i | ||||
\(417\) | 11.6845 | − | 11.6845i | 0.572193 | − | 0.572193i | ||||
\(418\) | 8.15246 | − | 8.15246i | 0.398750 | − | 0.398750i | ||||
\(419\) | −12.8156 | + | 7.39907i | −0.626081 | + | 0.361468i | −0.779233 | − | 0.626735i | \(-0.784391\pi\) |
0.153152 | + | 0.988203i | \(0.451058\pi\) | |||||||
\(420\) | 9.40491 | − | 16.4800i | 0.458913 | − | 0.804143i | ||||
\(421\) | 8.16156 | + | 8.16156i | 0.397770 | + | 0.397770i | 0.877446 | − | 0.479676i | \(-0.159246\pi\) |
−0.479676 | + | 0.877446i | \(0.659246\pi\) | |||||||
\(422\) | 1.80967 | + | 3.13444i | 0.0880935 | + | 0.152582i | ||||
\(423\) | 0.00281305 | − | 0.0104985i | 0.000136775 | − | 0.000510452i | ||||
\(424\) | 0.698572 | − | 2.60711i | 0.0339257 | − | 0.126612i | ||||
\(425\) | 15.1516 | + | 8.54639i | 0.734961 | + | 0.414561i | ||||
\(426\) | 5.28190 | + | 19.7123i | 0.255909 | + | 0.955065i | ||||
\(427\) | 12.8100 | + | 22.1875i | 0.619918 | + | 1.07373i | ||||
\(428\) | 1.33196 | + | 0.356896i | 0.0643825 | + | 0.0172512i | ||||
\(429\) | 2.14219 | − | 7.99476i | 0.103426 | − | 0.385991i | ||||
\(430\) | −0.0152400 | − | 3.03997i | −0.000734937 | − | 0.146600i | ||||
\(431\) | −3.05539 | + | 0.818691i | −0.147173 | + | 0.0394349i | −0.331653 | − | 0.943401i | \(-0.607606\pi\) |
0.184480 | + | 0.982836i | \(0.440940\pi\) | |||||||
\(432\) | −1.32745 | + | 4.95410i | −0.0638669 | + | 0.238354i | ||||
\(433\) | −18.4572 | − | 18.4572i | −0.886996 | − | 0.886996i | 0.107237 | − | 0.994233i | \(-0.465800\pi\) |
−0.994233 | + | 0.107237i | \(0.965800\pi\) | |||||||
\(434\) | 42.1692 | 2.02419 | ||||||||
\(435\) | −14.4439 | − | 24.7304i | −0.692532 | − | 1.18573i | ||||
\(436\) | 1.73568 | + | 1.73568i | 0.0831241 | + | 0.0831241i | ||||
\(437\) | −51.7164 | + | 13.8574i | −2.47393 | + | 0.662888i | ||||
\(438\) | − | 7.96883i | − | 0.380766i | ||||||
\(439\) | −6.74905 | − | 25.1878i | −0.322115 | − | 1.20215i | −0.917181 | − | 0.398472i | \(-0.869541\pi\) |
0.595066 | − | 0.803677i | \(-0.297126\pi\) | |||||||
\(440\) | −1.99987 | + | 3.50433i | −0.0953401 | + | 0.167063i | ||||
\(441\) | 0.618419 | − | 1.07113i | 0.0294485 | − | 0.0510064i | ||||
\(442\) | −7.88094 | + | 4.55006i | −0.374858 | + | 0.216424i | ||||
\(443\) | −6.81050 | + | 6.81050i | −0.323577 | + | 0.323577i | −0.850137 | − | 0.526561i | \(-0.823481\pi\) |
0.526561 | + | 0.850137i | \(0.323481\pi\) | |||||||
\(444\) | 1.21585 | + | 10.5976i | 0.0577018 | + | 0.502941i | ||||
\(445\) | 6.18448 | + | 6.12279i | 0.293173 | + | 0.290248i | ||||
\(446\) | −0.934023 | + | 3.48582i | −0.0442272 | + | 0.165058i | ||||
\(447\) | −22.3111 | + | 5.97823i | −1.05528 | + | 0.282761i | ||||
\(448\) | −1.25240 | − | 4.67400i | −0.0591701 | − | 0.220826i | ||||
\(449\) | 13.6000 | − | 3.64411i | 0.641823 | − | 0.171976i | 0.0767941 | − | 0.997047i | \(-0.475532\pi\) |
0.565029 | + | 0.825071i | \(0.308865\pi\) | |||||||
\(450\) | −0.00377730 | − | 0.376726i | −0.000178063 | − | 0.0177590i | ||||
\(451\) | −2.33714 | + | 4.04805i | −0.110052 | + | 0.190615i | ||||
\(452\) | 8.41175i | 0.395656i | ||||||||
\(453\) | 4.77640 | − | 17.8258i | 0.224415 | − | 0.837528i | ||||
\(454\) | − | 12.4513i | − | 0.584369i | ||||||
\(455\) | 20.1120 | + | 19.9114i | 0.942867 | + | 0.933460i | ||||
\(456\) | 5.60249 | + | 9.70379i | 0.262361 | + | 0.454422i | ||||
\(457\) | 16.4208 | + | 9.48058i | 0.768135 | + | 0.443483i | 0.832209 | − | 0.554462i | \(-0.187076\pi\) |
−0.0640742 | + | 0.997945i | \(0.520409\pi\) | |||||||
\(458\) | − | 17.9767i | − | 0.839994i | ||||||
\(459\) | −17.2361 | − | 4.61839i | −0.804510 | − | 0.215568i | ||||
\(460\) | 16.1798 | − | 9.44986i | 0.754386 | − | 0.440602i | ||||
\(461\) | 3.92362 | + | 1.05133i | 0.182741 | + | 0.0489654i | 0.349029 | − | 0.937112i | \(-0.386511\pi\) |
−0.166288 | + | 0.986077i | \(0.553178\pi\) | |||||||
\(462\) | −7.65601 | + | 13.2606i | −0.356190 | + | 0.616939i | ||||
\(463\) | 0.600566 | − | 1.04021i | 0.0279107 | − | 0.0483427i | −0.851733 | − | 0.523977i | \(-0.824448\pi\) |
0.879643 | + | 0.475634i | \(0.157781\pi\) | |||||||
\(464\) | −7.05467 | − | 1.89029i | −0.327505 | − | 0.0877547i | ||||
\(465\) | 29.5086 | − | 17.2346i | 1.36843 | − | 0.799236i | ||||
\(466\) | −13.3555 | − | 3.57860i | −0.618682 | − | 0.165775i | ||||
\(467\) | − | 35.6633i | − | 1.65030i | −0.564914 | − | 0.825150i | \(-0.691091\pi\) | ||
0.564914 | − | 0.825150i | \(-0.308909\pi\) | |||||||
\(468\) | 0.170680 | + | 0.0985420i | 0.00788968 | + | 0.00455511i | ||||
\(469\) | −23.8531 | − | 41.3148i | −1.10143 | − | 1.90774i | ||||
\(470\) | −0.229214 | − | 0.226927i | −0.0105728 | − | 0.0104674i | ||||
\(471\) | 5.41048i | 0.249302i | ||||||||
\(472\) | 2.77785 | − | 10.3671i | 0.127861 | − | 0.477184i | ||||
\(473\) | 2.45318i | 0.112797i | ||||||||
\(474\) | −12.4547 | + | 21.5722i | −0.572064 | + | 0.990845i | ||||
\(475\) | 22.8155 | + | 22.3625i | 1.04685 | + | 1.02606i | ||||
\(476\) | 16.2616 | − | 4.35727i | 0.745347 | − | 0.199715i | ||||
\(477\) | −0.0526367 | − | 0.196443i | −0.00241007 | − | 0.00899450i | ||||
\(478\) | −28.5427 | + | 7.64800i | −1.30551 | + | 0.349811i | ||||
\(479\) | −9.09174 | + | 33.9308i | −0.415412 | + | 1.55034i | 0.368597 | + | 0.929589i | \(0.379838\pi\) |
−0.784009 | + | 0.620750i | \(0.786828\pi\) | |||||||
\(480\) | −2.78666 | − | 2.75886i | −0.127193 | − | 0.125924i | ||||
\(481\) | −15.7373 | − | 2.33935i | −0.717557 | − | 0.106665i | ||||
\(482\) | 7.53089 | − | 7.53089i | 0.343023 | − | 0.343023i | ||||
\(483\) | 61.5806 | − | 35.5536i | 2.80202 | − | 1.61774i | ||||
\(484\) | −3.87202 | + | 6.70653i | −0.176001 | + | 0.304842i | ||||
\(485\) | 4.57593 | − | 8.01831i | 0.207782 | − | 0.364093i | ||||
\(486\) | 0.202621 | + | 0.756190i | 0.00919105 | + | 0.0343015i | ||||
\(487\) | 34.6270i | 1.56910i | 0.620065 | + | 0.784551i | \(0.287106\pi\) | ||||
−0.620065 | + | 0.784551i | \(0.712894\pi\) | |||||||
\(488\) | 5.11419 | − | 1.37034i | 0.231509 | − | 0.0620325i | ||||
\(489\) | −11.4485 | − | 11.4485i | −0.517721 | − | 0.517721i | ||||
\(490\) | −18.5114 | − | 31.6947i | −0.836262 | − | 1.43182i | ||||
\(491\) | −38.1904 | −1.72351 | −0.861754 | − | 0.507327i | \(-0.830634\pi\) | ||||
−0.861754 | + | 0.507327i | \(0.830634\pi\) | |||||||
\(492\) | −3.21223 | − | 3.21223i | −0.144819 | − | 0.144819i | ||||
\(493\) | 6.57661 | − | 24.5443i | 0.296196 | − | 1.10542i | ||||
\(494\) | −16.1429 | + | 4.32548i | −0.726304 | + | 0.194613i | ||||
\(495\) | 0.00152409 | + | 0.304016i | 6.85029e−5 | + | 0.0136645i | ||||
\(496\) | 2.25552 | − | 8.41771i | 0.101276 | − | 0.377966i | ||||
\(497\) | 54.3921 | + | 14.5743i | 2.43982 | + | 0.653748i | ||||
\(498\) | 14.1853 | + | 24.5697i | 0.635660 | + | 1.10100i | ||||
\(499\) | −9.53373 | − | 35.5804i | −0.426788 | − | 1.59280i | −0.759986 | − | 0.649939i | \(-0.774794\pi\) |
0.333198 | − | 0.942857i | \(-0.391872\pi\) | |||||||
\(500\) | −9.76543 | − | 5.44392i | −0.436723 | − | 0.243460i | ||||
\(501\) | 2.72770 | − | 10.1799i | 0.121864 | − | 0.454804i | ||||
\(502\) | 6.83285 | − | 25.5005i | 0.304965 | − | 1.13815i | ||||
\(503\) | −13.3228 | − | 23.0758i | −0.594034 | − | 1.02890i | −0.993682 | − | 0.112229i | \(-0.964201\pi\) |
0.399648 | − | 0.916669i | \(-0.369132\pi\) | |||||||
\(504\) | −0.257815 | − | 0.257815i | −0.0114840 | − | 0.0114840i | ||||
\(505\) | 9.68558 | − | 16.9718i | 0.431003 | − | 0.755237i | ||||
\(506\) | −13.0946 | + | 7.56016i | −0.582125 | + | 0.336090i | ||||
\(507\) | 7.63678 | − | 7.63678i | 0.339161 | − | 0.339161i | ||||
\(508\) | −7.42724 | + | 7.42724i | −0.329530 | + | 0.329530i | ||||
\(509\) | −12.6773 | − | 21.9577i | −0.561910 | − | 0.973257i | −0.997330 | − | 0.0730294i | \(-0.976733\pi\) |
0.435420 | − | 0.900228i | \(-0.356600\pi\) | |||||||
\(510\) | 9.59847 | − | 9.69519i | 0.425027 | − | 0.429310i | ||||
\(511\) | −19.0425 | − | 10.9942i | −0.842390 | − | 0.486354i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −28.3802 | − | 16.3853i | −1.25302 | − | 0.723430i | ||||
\(514\) | −12.3176 | − | 7.11154i | −0.543304 | − | 0.313677i | ||||
\(515\) | 1.32568 | − | 2.32296i | 0.0584164 | − | 0.102362i | ||||
\(516\) | −2.30293 | − | 0.617069i | −0.101381 | − | 0.0271649i | ||||
\(517\) | 0.184047 | + | 0.184047i | 0.00809439 | + | 0.00809439i | ||||
\(518\) | 27.0017 | + | 11.7156i | 1.18639 | + | 0.514752i | ||||
\(519\) | 0.690143i | 0.0302939i | ||||||||
\(520\) | 5.05040 | − | 2.94971i | 0.221475 | − | 0.129353i | ||||
\(521\) | −20.7644 | − | 11.9884i | −0.909707 | − | 0.525220i | −0.0293701 | − | 0.999569i | \(-0.509350\pi\) |
−0.880337 | + | 0.474349i | \(0.842683\pi\) | |||||||
\(522\) | −0.531562 | + | 0.142432i | −0.0232659 | + | 0.00623407i | ||||
\(523\) | −19.7392 | + | 34.1892i | −0.863133 | + | 1.49499i | 0.00575557 | + | 0.999983i | \(0.498168\pi\) |
−0.868889 | + | 0.495007i | \(0.835165\pi\) | |||||||
\(524\) | 8.44095 | + | 8.44095i | 0.368745 | + | 0.368745i | ||||
\(525\) | −36.9554 | − | 20.8450i | −1.61287 | − | 0.909751i | ||||
\(526\) | −13.9894 | + | 13.9894i | −0.609965 | + | 0.609965i | ||||
\(527\) | 29.2865 | + | 7.84728i | 1.27574 | + | 0.341833i | ||||
\(528\) | 2.23755 | + | 2.23755i | 0.0973767 | + | 0.0973767i | ||||
\(529\) | 47.2170 | 2.05291 | ||||||||
\(530\) | −5.83743 | − | 1.53281i | −0.253562 | − | 0.0665810i | ||||
\(531\) | −0.209308 | − | 0.781149i | −0.00908320 | − | 0.0338990i | ||||
\(532\) | 30.9178 | 1.34046 | ||||||||
\(533\) | 5.86786 | − | 3.38781i | 0.254165 | − | 0.146742i | ||||
\(534\) | 5.91078 | − | 3.41259i | 0.255785 | − | 0.147677i | ||||
\(535\) | 0.783104 | − | 2.98231i | 0.0338565 | − | 0.128936i | ||||
\(536\) | −9.52300 | + | 2.55168i | −0.411331 | + | 0.110216i | ||||
\(537\) | −13.1791 | − | 7.60894i | −0.568719 | − | 0.328350i | ||||
\(538\) | −2.72923 | + | 1.57572i | −0.117666 | + | 0.0679343i | ||||
\(539\) | 14.8097 | + | 25.6511i | 0.637898 | + | 1.10487i | ||||
\(540\) | 11.0925 | + | 2.91269i | 0.477343 | + | 0.125342i | ||||
\(541\) | −24.9396 | + | 24.9396i | −1.07224 | + | 1.07224i | −0.0750574 | + | 0.997179i | \(0.523914\pi\) |
−0.997179 | + | 0.0750574i | \(0.976086\pi\) | |||||||
\(542\) | 6.30478 | − | 10.9202i | 0.270813 | − | 0.469063i | ||||
\(543\) | 11.8719 | + | 3.18107i | 0.509473 | + | 0.136513i | ||||
\(544\) | − | 3.47915i | − | 0.149167i | ||||||
\(545\) | 3.86160 | − | 3.90051i | 0.165413 | − | 0.167080i | ||||
\(546\) | 19.2219 | − | 11.0978i | 0.822624 | − | 0.474942i | ||||
\(547\) | 27.6892 | 1.18391 | 0.591953 | − | 0.805973i | \(-0.298357\pi\) | ||||
0.591953 | + | 0.805973i | \(0.298357\pi\) | |||||||
\(548\) | −1.12287 | − | 4.19059i | −0.0479664 | − | 0.179013i | ||||
\(549\) | 0.282095 | − | 0.282095i | 0.0120395 | − | 0.0120395i | ||||
\(550\) | 7.85825 | + | 4.43251i | 0.335077 | + | 0.189003i | ||||
\(551\) | 23.3328 | − | 40.4136i | 0.994011 | − | 1.72168i | ||||
\(552\) | −3.80333 | − | 14.1942i | −0.161881 | − | 0.604147i | ||||
\(553\) | 34.3663 | + | 59.5241i | 1.46140 | + | 2.53122i | ||||
\(554\) | 3.29021 | 0.139788 | ||||||||
\(555\) | 23.6831 | − | 2.83749i | 1.00529 | − | 0.120445i | ||||
\(556\) | −9.42276 | −0.399614 | ||||||||
\(557\) | −7.77630 | − | 13.4690i | −0.329492 | − | 0.570698i | 0.652919 | − | 0.757428i | \(-0.273544\pi\) |
−0.982411 | + | 0.186730i | \(0.940211\pi\) | |||||||
\(558\) | −0.169951 | − | 0.634265i | −0.00719460 | − | 0.0268506i | ||||
\(559\) | 1.77801 | − | 3.07960i | 0.0752018 | − | 0.130253i | ||||
\(560\) | −10.4372 | + | 2.85280i | −0.441053 | + | 0.120553i | ||||
\(561\) | −7.78476 | + | 7.78476i | −0.328673 | + | 0.328673i | ||||
\(562\) | 0.208545 | + | 0.778302i | 0.00879696 | + | 0.0328307i | ||||
\(563\) | −6.39301 | −0.269433 | −0.134717 | − | 0.990884i | \(-0.543012\pi\) | ||||
−0.134717 | + | 0.990884i | \(0.543012\pi\) | |||||||
\(564\) | −0.219070 | + | 0.126480i | −0.00922449 | + | 0.00532576i | ||||
\(565\) | 18.8090 | − | 0.0942933i | 0.791301 | − | 0.00396695i | ||||
\(566\) | 12.3041i | 0.517180i | ||||||||
\(567\) | 43.0960 | + | 11.5476i | 1.80986 | + | 0.484952i | ||||
\(568\) | 5.81858 | − | 10.0781i | 0.244142 | − | 0.422866i | ||||
\(569\) | 0.679587 | − | 0.679587i | 0.0284897 | − | 0.0284897i | −0.692718 | − | 0.721208i | \(-0.743587\pi\) |
0.721208 | + | 0.692718i | \(0.243587\pi\) | |||||||
\(570\) | 21.6353 | − | 12.6362i | 0.906202 | − | 0.529271i | ||||
\(571\) | −15.2224 | − | 26.3660i | −0.637038 | − | 1.10338i | −0.986079 | − | 0.166275i | \(-0.946826\pi\) |
0.349042 | − | 0.937107i | \(-0.386507\pi\) | |||||||
\(572\) | −4.08738 | + | 2.35985i | −0.170902 | + | 0.0986703i | ||||
\(573\) | −11.6359 | − | 6.71802i | −0.486099 | − | 0.280649i | ||||
\(574\) | −12.1078 | + | 3.24427i | −0.505369 | + | 0.135413i | ||||
\(575\) | −21.3116 | − | 36.0727i | −0.888757 | − | 1.50433i | ||||
\(576\) | −0.0652541 | + | 0.0376745i | −0.00271892 | + | 0.00156977i | ||||
\(577\) | 6.16200 | − | 3.55763i | 0.256527 | − | 0.148106i | −0.366222 | − | 0.930527i | \(-0.619349\pi\) |
0.622749 | + | 0.782421i | \(0.286016\pi\) | |||||||
\(578\) | −4.89553 | −0.203627 | ||||||||
\(579\) | −4.50006 | − | 16.7945i | −0.187016 | − | 0.697954i | ||||
\(580\) | −4.14769 | + | 15.7957i | −0.172224 | + | 0.655882i | ||||
\(581\) | 78.2831 | 3.24773 | ||||||||
\(582\) | −5.11976 | − | 5.11976i | −0.212221 | − | 0.212221i | ||||
\(583\) | 4.70434 | + | 1.26052i | 0.194834 | + | 0.0522056i | ||||
\(584\) | −3.21316 | + | 3.21316i | −0.132962 | + | 0.132962i | ||||
\(585\) | 0.218431 | − | 0.382752i | 0.00903100 | − | 0.0158248i | ||||
\(586\) | −8.48211 | − | 8.48211i | −0.350393 | − | 0.350393i | ||||
\(587\) | −9.06433 | + | 15.6999i | −0.374125 | + | 0.648003i | −0.990196 | − | 0.139687i | \(-0.955390\pi\) |
0.616071 | + | 0.787691i | \(0.288724\pi\) | |||||||
\(588\) | −27.8053 | + | 7.45039i | −1.14667 | + | 0.307249i | ||||
\(589\) | 48.2219 | + | 27.8409i | 1.98695 | + | 1.14717i | ||||
\(590\) | −23.2123 | − | 6.09517i | −0.955637 | − | 0.250934i | ||||
\(591\) | 13.0820i | 0.538123i | ||||||||
\(592\) | 3.78288 | − | 4.76338i | 0.155475 | − | 0.195774i | ||||
\(593\) | 8.04997 | + | 8.04997i | 0.330573 | + | 0.330573i | 0.852804 | − | 0.522231i | \(-0.174900\pi\) |
−0.522231 | + | 0.852804i | \(0.674900\pi\) | |||||||
\(594\) | −8.93933 | − | 2.39529i | −0.366785 | − | 0.0982798i | ||||
\(595\) | −9.92532 | − | 36.3126i | −0.406898 | − | 1.48867i | ||||
\(596\) | 11.4067 | + | 6.58566i | 0.467237 | + | 0.269759i | ||||
\(597\) | −13.2357 | − | 7.64166i | −0.541703 | − | 0.312752i | ||||
\(598\) | 21.9177 | 0.896282 | ||||||||
\(599\) | −0.467718 | − | 0.270037i | −0.0191104 | − | 0.0110334i | 0.490414 | − | 0.871489i | \(-0.336845\pi\) |
−0.509525 | + | 0.860456i | \(0.670179\pi\) | |||||||
\(600\) | −6.13767 | + | 6.26200i | −0.250570 | + | 0.255645i | ||||
\(601\) | 19.1979 | + | 33.2517i | 0.783097 | + | 1.35636i | 0.930129 | + | 0.367232i | \(0.119695\pi\) |
−0.147032 | + | 0.989132i | \(0.546972\pi\) | |||||||
\(602\) | −4.65179 | + | 4.65179i | −0.189593 | + | 0.189593i | ||||
\(603\) | −0.525281 | + | 0.525281i | −0.0213911 | + | 0.0213911i | ||||
\(604\) | −9.11356 | + | 5.26172i | −0.370826 | + | 0.214096i | ||||
\(605\) | 15.0395 | + | 8.58281i | 0.611441 | + | 0.348941i | ||||
\(606\) | −10.8367 | − | 10.8367i | −0.440210 | − | 0.440210i | ||||
\(607\) | −6.71310 | − | 11.6274i | −0.272476 | − | 0.471943i | 0.697019 | − | 0.717053i | \(-0.254509\pi\) |
−0.969495 | + | 0.245110i | \(0.921176\pi\) | |||||||
\(608\) | 1.65371 | − | 6.17174i | 0.0670669 | − | 0.250297i | ||||
\(609\) | −16.0407 | + | 59.8645i | −0.650000 | + | 2.42583i | ||||
\(610\) | −3.12147 | − | 11.4202i | −0.126385 | − | 0.462389i | ||||
\(611\) | −0.0976506 | − | 0.364437i | −0.00395052 | − | 0.0147435i | ||||
\(612\) | −0.131075 | − | 0.227029i | −0.00529840 | − | 0.00917709i | ||||
\(613\) | 10.8976 | + | 2.92001i | 0.440151 | + | 0.117938i | 0.472087 | − | 0.881552i | \(-0.343501\pi\) |
−0.0319365 | + | 0.999490i | \(0.510167\pi\) | |||||||
\(614\) | 7.00125 | − | 26.1290i | 0.282548 | − | 1.05448i | ||||
\(615\) | −7.14668 | + | 7.21869i | −0.288182 | + | 0.291086i | ||||
\(616\) | 8.43391 | − | 2.25986i | 0.339812 | − | 0.0910524i | ||||
\(617\) | −1.50639 | + | 5.62193i | −0.0606450 | + | 0.226330i | −0.989596 | − | 0.143872i | \(-0.954045\pi\) |
0.928951 | + | 0.370202i | \(0.120711\pi\) | |||||||
\(618\) | −1.48323 | − | 1.48323i | −0.0596643 | − | 0.0596643i | ||||
\(619\) | −31.6242 | −1.27108 | −0.635542 | − | 0.772066i | \(-0.719223\pi\) | ||||
−0.635542 | + | 0.772066i | \(0.719223\pi\) | |||||||
\(620\) | −18.8476 | − | 4.94907i | −0.756938 | − | 0.198759i | ||||
\(621\) | 30.3898 | + | 30.3898i | 1.21950 | + | 1.21950i | ||||
\(622\) | 13.3460 | − | 3.57605i | 0.535126 | − | 0.143387i | ||||
\(623\) | − | 18.8327i | − | 0.754516i | ||||||
\(624\) | −1.18718 | − | 4.43063i | −0.0475254 | − | 0.177367i | ||||
\(625\) | −12.0634 | + | 21.8969i | −0.482535 | + | 0.875877i | ||||
\(626\) | 1.91505 | − | 3.31696i | 0.0765407 | − | 0.132572i | ||||
\(627\) | −17.5098 | + | 10.1093i | −0.699275 | + | 0.403726i | ||||
\(628\) | 2.18159 | − | 2.18159i | 0.0870551 | − | 0.0870551i | ||||
\(629\) | 16.5725 | + | 13.1612i | 0.660789 | + | 0.524772i | ||||
\(630\) | −0.573594 | + | 0.579374i | −0.0228525 | + | 0.0230828i | ||||
\(631\) | 0.368325 | − | 1.37461i | 0.0146628 | − | 0.0547222i | −0.958207 | − | 0.286076i | \(-0.907649\pi\) |
0.972870 | + | 0.231354i | \(0.0743156\pi\) | |||||||
\(632\) | 13.7202 | − | 3.67632i | 0.545761 | − | 0.146236i | ||||
\(633\) | −1.64276 | − | 6.13085i | −0.0652937 | − | 0.243680i | ||||
\(634\) | 7.49692 | − | 2.00879i | 0.297741 | − | 0.0797793i | ||||
\(635\) | 16.6909 | + | 16.5243i | 0.662357 | + | 0.655749i | ||||
\(636\) | −2.36664 | + | 4.09914i | −0.0938434 | + | 0.162542i | ||||
\(637\) | − | 42.9349i | − | 1.70114i | ||||||
\(638\) | 3.41090 | − | 12.7297i | 0.135039 | − | 0.503972i | ||||
\(639\) | − | 0.876847i | − | 0.0346875i | ||||||
\(640\) | 0.0112097 | + | 2.23604i | 0.000443102 | + | 0.0883872i | ||||
\(641\) | −10.9917 | − | 19.0382i | −0.434147 | − | 0.751964i | 0.563079 | − | 0.826403i | \(-0.309617\pi\) |
−0.997226 | + | 0.0744390i | \(0.976283\pi\) | |||||||
\(642\) | −2.09423 | − | 1.20910i | −0.0826525 | − | 0.0477195i | ||||
\(643\) | 44.3917i | 1.75064i | 0.483546 | + | 0.875319i | \(0.339349\pi\) | ||||
−0.483546 | + | 0.875319i | \(0.660651\pi\) | |||||||
\(644\) | −39.1661 | − | 10.4945i | −1.54336 | − | 0.413542i | ||||
\(645\) | −1.35397 | + | 5.15636i | −0.0533127 | + | 0.203032i | ||||
\(646\) | 21.4724 | + | 5.75351i | 0.844820 | + | 0.226369i | ||||
\(647\) | −18.1902 | + | 31.5064i | −0.715132 | + | 1.23865i | 0.247776 | + | 0.968817i | \(0.420300\pi\) |
−0.962908 | + | 0.269828i | \(0.913033\pi\) | |||||||
\(648\) | 4.61018 | − | 7.98507i | 0.181105 | − | 0.313683i | ||||
\(649\) | 18.7067 | + | 5.01244i | 0.734301 | + | 0.196755i | ||||
\(650\) | −6.65227 | − | 11.2598i | −0.260924 | − | 0.441647i | ||||
\(651\) | −71.4309 | − | 19.1399i | −2.79960 | − | 0.750150i | ||||
\(652\) | 9.23247i | 0.361572i | ||||||||
\(653\) | 21.5913 | + | 12.4658i | 0.844934 | + | 0.487823i | 0.858938 | − | 0.512079i | \(-0.171125\pi\) |
−0.0140044 | + | 0.999902i | \(0.504458\pi\) | |||||||
\(654\) | −2.15230 | − | 3.72789i | −0.0841615 | − | 0.145772i | ||||
\(655\) | 18.7797 | − | 18.9689i | 0.733783 | − | 0.741177i | ||||
\(656\) | 2.59045i | 0.101140i | ||||||||
\(657\) | −0.0886178 | + | 0.330726i | −0.00345731 | + | 0.0129029i | ||||
\(658\) | 0.697991i | 0.0272105i | ||||||||
\(659\) | 9.94693 | − | 17.2286i | 0.387477 | − | 0.671131i | −0.604632 | − | 0.796505i | \(-0.706680\pi\) |
0.992110 | + | 0.125374i | \(0.0400132\pi\) | |||||||
\(660\) | 4.97816 | − | 5.02833i | 0.193775 | − | 0.195727i | ||||
\(661\) | −36.1647 | + | 9.69031i | −1.40665 | + | 0.376909i | −0.880726 | − | 0.473625i | \(-0.842945\pi\) |
−0.525919 | + | 0.850535i | \(0.676278\pi\) | |||||||
\(662\) | 0.870777 | + | 3.24978i | 0.0338437 | + | 0.126306i | ||||
\(663\) | 15.4148 | − | 4.13039i | 0.598662 | − | 0.160411i | ||||
\(664\) | 4.18715 | − | 15.6267i | 0.162493 | − | 0.606432i | ||||
\(665\) | −0.346580 | − | 69.1335i | −0.0134398 | − | 2.68088i | ||||
\(666\) | 0.0673905 | − | 0.453348i | 0.00261133 | − | 0.0175669i | ||||
\(667\) | −43.2752 | + | 43.2752i | −1.67562 | + | 1.67562i | ||||
\(668\) | −5.20455 | + | 3.00485i | −0.201370 | + | 0.116261i | ||||
\(669\) | 3.16430 | − | 5.48074i | 0.122339 | − | 0.211898i | ||||
\(670\) | 5.81241 | + | 21.2652i | 0.224553 | + | 0.821546i | ||||
\(671\) | 2.47269 | + | 9.22820i | 0.0954571 | + | 0.356251i | ||||
\(672\) | 8.48579i | 0.327347i | ||||||||
\(673\) | 24.0710 | − | 6.44979i | 0.927867 | − | 0.248621i | 0.236922 | − | 0.971529i | \(-0.423861\pi\) |
0.690945 | + | 0.722907i | \(0.257195\pi\) | |||||||
\(674\) | 2.02742 | + | 2.02742i | 0.0780933 | + | 0.0780933i | ||||
\(675\) | 6.38855 | − | 24.8358i | 0.245896 | − | 0.955931i | ||||
\(676\) | −6.15854 | −0.236867 | ||||||||
\(677\) | −7.00253 | − | 7.00253i | −0.269129 | − | 0.269129i | 0.559620 | − | 0.828749i | \(-0.310947\pi\) |
−0.828749 | + | 0.559620i | \(0.810947\pi\) | |||||||
\(678\) | 3.81795 | − | 14.2488i | 0.146627 | − | 0.547221i | ||||
\(679\) | −19.2977 | + | 5.17081i | −0.740579 | + | 0.198438i | ||||
\(680\) | −7.77951 | + | 0.0390002i | −0.298331 | + | 0.00149559i | ||||
\(681\) | −5.65143 | + | 21.0914i | −0.216563 | + | 0.808225i | ||||
\(682\) | 15.1892 | + | 4.06992i | 0.581623 | + | 0.155845i | ||||
\(683\) | −21.7393 | − | 37.6536i | −0.831832 | − | 1.44078i | −0.896584 | − | 0.442874i | \(-0.853959\pi\) |
0.0647514 | − | 0.997901i | \(-0.479375\pi\) | |||||||
\(684\) | −0.124606 | − | 0.465034i | −0.00476441 | − | 0.0177810i | ||||
\(685\) | −9.35774 | + | 2.55775i | −0.357541 | + | 0.0977265i | ||||
\(686\) | −11.7911 | + | 44.0049i | −0.450185 | + | 1.68011i | ||||
\(687\) | −8.15929 | + | 30.4509i | −0.311296 | + | 1.16177i | ||||
\(688\) | 0.679767 | + | 1.17739i | 0.0259159 | + | 0.0448876i | ||||
\(689\) | −4.99200 | − | 4.99200i | −0.190180 | − | 0.190180i | ||||
\(690\) | −31.6962 | + | 8.66352i | −1.20666 | + | 0.329815i | ||||
\(691\) | 33.4252 | − | 19.2981i | 1.27156 | − | 0.734133i | 0.296276 | − | 0.955102i | \(-0.404255\pi\) |
0.975281 | + | 0.220969i | \(0.0709220\pi\) | |||||||
\(692\) | 0.278277 | − | 0.278277i | 0.0105785 | − | 0.0105785i | ||||
\(693\) | 0.465208 | − | 0.465208i | 0.0176718 | − | 0.0176718i | ||||
\(694\) | 6.77697 | + | 11.7381i | 0.257250 | + | 0.445570i | ||||
\(695\) | 0.105626 | + | 21.0697i | 0.00400664 | + | 0.799218i | ||||
\(696\) | 11.0920 | + | 6.40399i | 0.420442 | + | 0.242742i | ||||
\(697\) | −9.01256 | −0.341375 | ||||||||
\(698\) | −0.794285 | − | 0.458581i | −0.0300641 | − | 0.0173575i | ||||
\(699\) | 20.9988 | + | 12.1237i | 0.794248 | + | 0.458559i | ||||
\(700\) | 6.49597 | + | 23.3061i | 0.245525 | + | 0.880886i | ||||
\(701\) | 48.7459 | + | 13.0614i | 1.84111 | + | 0.493323i | 0.998946 | − | 0.0459030i | \(-0.0146165\pi\) |
0.842161 | + | 0.539226i | \(0.181283\pi\) | |||||||
\(702\) | 9.48594 | + | 9.48594i | 0.358024 | + | 0.358024i | ||||
\(703\) | 23.1426 | + | 31.2242i | 0.872838 | + | 1.17764i | ||||
\(704\) | − | 1.80443i | − | 0.0680070i | ||||||
\(705\) | 0.285270 | + | 0.488431i | 0.0107439 | + | 0.0183954i | ||||
\(706\) | −11.6101 | − | 6.70307i | −0.436950 | − | 0.252273i | ||||
\(707\) | −40.8463 | + | 10.9447i | −1.53618 | + | 0.411619i | ||||
\(708\) | −9.41087 | + | 16.3001i | −0.353682 | + | 0.612596i | ||||
\(709\) | −25.9991 | − | 25.9991i | −0.976416 | − | 0.976416i | 0.0233124 | − | 0.999728i | \(-0.492579\pi\) |
−0.999728 | + | 0.0233124i | \(0.992579\pi\) | |||||||
\(710\) | −22.6002 | − | 12.8976i | −0.848170 | − | 0.484038i | ||||
\(711\) | 0.756797 | − | 0.756797i | 0.0283821 | − | 0.0283821i | ||||
\(712\) | −3.75933 | − | 1.00731i | −0.140887 | − | 0.0377506i | ||||
\(713\) | −51.6364 | − | 51.6364i | −1.93380 | − | 1.93380i | ||||
\(714\) | −29.5233 | −1.10488 | ||||||||
\(715\) | 5.32254 | + | 9.11309i | 0.199052 | + | 0.340810i | ||||
\(716\) | 2.24597 | + | 8.38206i | 0.0839357 | + | 0.313252i | ||||
\(717\) | 51.8201 | 1.93526 | ||||||||
\(718\) | −14.2301 | + | 8.21572i | −0.531061 | + | 0.306608i | ||||
\(719\) | 16.5495 | − | 9.55486i | 0.617192 | − | 0.356336i | −0.158583 | − | 0.987346i | \(-0.550692\pi\) |
0.775775 | + | 0.631010i | \(0.217359\pi\) | |||||||
\(720\) | 0.0849731 | + | 0.145488i | 0.00316676 | + | 0.00542204i | ||||
\(721\) | −5.59069 | + | 1.49802i | −0.208208 | + | 0.0557893i | ||||
\(722\) | 18.9011 | + | 10.9126i | 0.703426 | + | 0.406123i | ||||
\(723\) | −16.1748 | + | 9.33853i | −0.601548 | + | 0.347304i | ||||
\(724\) | −3.50429 | − | 6.06961i | −0.130236 | − | 0.225575i | ||||
\(725\) | 35.3664 | + | 9.09734i | 1.31347 | + | 0.337867i | ||||
\(726\) | 9.60283 | − | 9.60283i | 0.356395 | − | 0.356395i | ||||
\(727\) | 7.58505 | − | 13.1377i | 0.281314 | − | 0.487250i | −0.690395 | − | 0.723433i | \(-0.742563\pi\) |
0.971709 | + | 0.236183i | \(0.0758965\pi\) | |||||||
\(728\) | −12.2254 | − | 3.27579i | −0.453104 | − | 0.121409i | ||||
\(729\) | 26.2882i | 0.973638i | ||||||||
\(730\) | 7.22078 | + | 7.14874i | 0.267253 | + | 0.264587i | ||||
\(731\) | −4.09632 | + | 2.36501i | −0.151508 | + | 0.0874730i | ||||
\(732\) | −9.28497 | −0.343182 | ||||||||
\(733\) | −8.37175 | − | 31.2438i | −0.309218 | − | 1.15402i | −0.929253 | − | 0.369443i | \(-0.879549\pi\) |
0.620036 | − | 0.784574i | \(-0.287118\pi\) | |||||||
\(734\) | 15.9321 | − | 15.9321i | 0.588063 | − | 0.588063i | ||||
\(735\) | 16.9711 | + | 62.0901i | 0.625987 | + | 2.29023i | ||||
\(736\) | −4.18978 | + | 7.25691i | −0.154437 | + | 0.267493i | ||||
\(737\) | −4.60433 | − | 17.1836i | −0.169603 | − | 0.632965i | ||||
\(738\) | 0.0975938 | + | 0.169037i | 0.00359248 | + | 0.00622235i | ||||
\(739\) | 1.49398 | 0.0549568 | 0.0274784 | − | 0.999622i | \(-0.491252\pi\) | ||||
0.0274784 | + | 0.999622i | \(0.491252\pi\) | |||||||
\(740\) | −10.6935 | − | 8.40528i | −0.393102 | − | 0.308984i | ||||
\(741\) | 29.3079 | 1.07665 | ||||||||
\(742\) | 6.53026 | + | 11.3107i | 0.239733 | + | 0.415230i | ||||
\(743\) | 1.81344 | + | 6.76786i | 0.0665288 | + | 0.248289i | 0.991179 | − | 0.132528i | \(-0.0423095\pi\) |
−0.924650 | + | 0.380817i | \(0.875643\pi\) | |||||||
\(744\) | −7.64130 | + | 13.2351i | −0.280144 | + | 0.485223i | ||||
\(745\) | 14.5979 | − | 25.5797i | 0.534827 | − | 0.937166i | ||||
\(746\) | −1.11799 | + | 1.11799i | −0.0409323 | + | 0.0409323i | ||||
\(747\) | −0.315498 | − | 1.17745i | −0.0115435 | − | 0.0430807i | ||||
\(748\) | 6.27788 | 0.229542 | ||||||||
\(749\) | −5.77859 | + | 3.33627i | −0.211145 | + | 0.121905i | ||||
\(750\) | 14.0709 | + | 13.6539i | 0.513796 | + | 0.498570i | ||||
\(751\) | 3.01004i | 0.109838i | 0.998491 | + | 0.0549190i | \(0.0174901\pi\) | ||||
−0.998491 | + | 0.0549190i | \(0.982510\pi\) | |||||||
\(752\) | 0.139331 | + | 0.0373337i | 0.00508088 | + | 0.00136142i | ||||
\(753\) | −23.1485 | + | 40.0944i | −0.843578 | + | 1.46112i | ||||
\(754\) | −13.5080 | + | 13.5080i | −0.491934 | + | 0.491934i | ||||
\(755\) | 11.8676 | + | 20.3193i | 0.431905 | + | 0.739495i | ||||
\(756\) | −12.4090 | − | 21.4930i | −0.451311 | − | 0.781693i | ||||
\(757\) | −36.7380 | + | 21.2107i | −1.33527 | + | 0.770916i | −0.986101 | − | 0.166145i | \(-0.946868\pi\) |
−0.349165 | + | 0.937061i | \(0.613535\pi\) | |||||||
\(758\) | −2.59270 | − | 1.49690i | −0.0941712 | − | 0.0543698i | ||||
\(759\) | 25.6125 | − | 6.86285i | 0.929675 | − | 0.249106i | ||||
\(760\) | −13.8188 | − | 3.62858i | −0.501260 | − | 0.131623i | ||||
\(761\) | 17.0535 | − | 9.84585i | 0.618189 | − | 0.356912i | −0.157975 | − | 0.987443i | \(-0.550496\pi\) |
0.776164 | + | 0.630532i | \(0.217163\pi\) | |||||||
\(762\) | 15.9522 | − | 9.21000i | 0.577887 | − | 0.333643i | ||||
\(763\) | −11.8776 | −0.430000 | ||||||||
\(764\) | 1.98299 | + | 7.40061i | 0.0717420 | + | 0.267745i | ||||
\(765\) | −0.506176 | + | 0.295634i | −0.0183008 | + | 0.0106887i | ||||
\(766\) | −2.14240 | −0.0774082 | ||||||||
\(767\) | −19.8505 | − | 19.8505i | −0.716761 | − | 0.716761i | ||||
\(768\) | 1.69391 | + | 0.453882i | 0.0611238 | + | 0.0163781i | ||||
\(769\) | 12.9133 | − | 12.9133i | 0.465667 | − | 0.465667i | −0.434841 | − | 0.900507i | \(-0.643195\pi\) |
0.900507 | + | 0.434841i | \(0.143195\pi\) | |||||||
\(770\) | −5.14768 | − | 18.8332i | −0.185509 | − | 0.678703i | ||||
\(771\) | 17.6371 | + | 17.6371i | 0.635183 | + | 0.635183i | ||||
\(772\) | −4.95730 | + | 8.58629i | −0.178417 | + | 0.309028i | ||||
\(773\) | −1.30168 | + | 0.348784i | −0.0468181 | + | 0.0125449i | −0.282152 | − | 0.959370i | \(-0.591048\pi\) |
0.235334 | + | 0.971915i | \(0.424382\pi\) | |||||||
\(774\) | 0.0887152 | + | 0.0512197i | 0.00318880 | + | 0.00184105i | ||||
\(775\) | −10.8550 | + | 42.1995i | −0.389924 | + | 1.51585i | ||||
\(776\) | 4.12874i | 0.148213i | ||||||||
\(777\) | −40.4211 | − | 32.1007i | −1.45010 | − | 1.15161i | ||||
\(778\) | −8.57415 | − | 8.57415i | −0.307398 | − | 0.307398i | ||||
\(779\) | −15.9876 | − | 4.28386i | −0.572814 | − | 0.153485i | ||||
\(780\) | −9.89375 | + | 2.70425i | −0.354253 | + | 0.0968279i | ||||
\(781\) | 18.1852 | + | 10.4992i | 0.650716 | + | 0.375691i | ||||
\(782\) | −25.2479 | − | 14.5769i | −0.902862 | − | 0.521267i | ||||
\(783\) | −37.4589 | −1.33867 | ||||||||
\(784\) | 14.2156 | + | 8.20741i | 0.507702 | + | 0.293122i | ||||
\(785\) | −4.90259 | − | 4.85368i | −0.174981 | − | 0.173235i | ||||
\(786\) | −10.4670 | − | 18.1294i | −0.373347 | − | 0.646656i | ||||
\(787\) | 16.1500 | − | 16.1500i | 0.575684 | − | 0.575684i | −0.358027 | − | 0.933711i | \(-0.616551\pi\) |
0.933711 | + | 0.358027i | \(0.116551\pi\) | |||||||
\(788\) | 5.27489 | − | 5.27489i | 0.187910 | − | 0.187910i | ||||
\(789\) | 30.0463 | − | 17.3472i | 1.06968 | − | 0.617577i | ||||
\(790\) | −8.37420 | − | 30.6377i | −0.297941 | − | 1.09004i | ||||
\(791\) | −28.7817 | − | 28.7817i | −1.02336 | − | 1.02336i | ||||
\(792\) | −0.0679810 | − | 0.117746i | −0.00241560 | − | 0.00418394i | ||||
\(793\) | 3.58429 | − | 13.3768i | 0.127282 | − | 0.475023i | ||||
\(794\) | −5.68010 | + | 21.1984i | −0.201579 | + | 0.752304i | ||||
\(795\) | 9.19237 | + | 5.24595i | 0.326020 | + | 0.186055i | ||||
\(796\) | 2.25562 | + | 8.41810i | 0.0799485 | + | 0.298372i | ||||
\(797\) | −3.40617 | − | 5.89966i | −0.120653 | − | 0.208977i | 0.799372 | − | 0.600836i | \(-0.205165\pi\) |
−0.920025 | + | 0.391859i | \(0.871832\pi\) | |||||||
\(798\) | −52.3721 | − | 14.0331i | −1.85395 | − | 0.496765i | ||||
\(799\) | −0.129889 | + | 0.484754i | −0.00459515 | + | 0.0171493i | ||||
\(800\) | 4.99975 | − | 0.0501307i | 0.176768 | − | 0.00177239i | ||||
\(801\) | −0.283262 | + | 0.0758998i | −0.0100086 | + | 0.00268179i | ||||
\(802\) | 4.99008 | − | 18.6232i | 0.176206 | − | 0.657610i | ||||
\(803\) | −5.79792 | − | 5.79792i | −0.204604 | − | 0.204604i | ||||
\(804\) | 17.2893 | 0.609746 | ||||||||
\(805\) | −23.0271 | + | 87.6946i | −0.811600 | + | 3.09083i | ||||
\(806\) | −16.1179 | − | 16.1179i | −0.567730 | − | 0.567730i | ||||
\(807\) | 5.33828 | − | 1.43039i | 0.187916 | − | 0.0503520i | ||||
\(808\) | 8.73904i | 0.307438i | ||||||||
\(809\) | −7.63342 | − | 28.4883i | −0.268377 | − | 1.00160i | −0.960151 | − | 0.279482i | \(-0.909837\pi\) |
0.691774 | − | 0.722114i | \(-0.256829\pi\) | |||||||
\(810\) | −17.9066 | − | 10.2190i | −0.629175 | − | 0.359061i | ||||
\(811\) | 24.2594 | − | 42.0185i | 0.851863 | − | 1.47547i | −0.0276626 | − | 0.999617i | \(-0.508806\pi\) |
0.879525 | − | 0.475852i | \(-0.157860\pi\) | |||||||
\(812\) | 30.6062 | − | 17.6705i | 1.07407 | − | 0.620113i | ||||
\(813\) | −15.6362 | + | 15.6362i | −0.548386 | + | 0.548386i | ||||
\(814\) | 8.59519 | + | 6.82594i | 0.301261 | + | 0.239249i | ||||
\(815\) | 20.6442 | − | 0.103493i | 0.723134 | − | 0.00362521i | ||||
\(816\) | −1.57912 | + | 5.89337i | −0.0552804 | + | 0.206309i | ||||
\(817\) | −8.39069 | + | 2.24828i | −0.293553 | + | 0.0786573i | ||||
\(818\) | 6.69813 | + | 24.9978i | 0.234195 | + | 0.874026i | ||||
\(819\) | −0.921172 | + | 0.246827i | −0.0321883 | + | 0.00862484i | ||||
\(820\) | 5.79235 | − | 0.0290382i | 0.202278 | − | 0.00101406i | ||||
\(821\) | −10.2729 | + | 17.7932i | −0.358527 | + | 0.620986i | −0.987715 | − | 0.156267i | \(-0.950054\pi\) |
0.629188 | + | 0.777253i | \(0.283387\pi\) | |||||||
\(822\) | 7.60814i | 0.265364i | ||||||||
\(823\) | −3.48012 | + | 12.9880i | −0.121309 | + | 0.452733i | −0.999681 | − | 0.0252450i | \(-0.991963\pi\) |
0.878372 | + | 0.477978i | \(0.158630\pi\) | |||||||
\(824\) | 1.19613i | 0.0416690i | ||||||||
\(825\) | −11.2993 | − | 11.0750i | −0.393393 | − | 0.385582i | ||||
\(826\) | 25.9674 | + | 44.9768i | 0.903520 | + | 1.56494i | ||||
\(827\) | −36.0311 | − | 20.8026i | −1.25292 | − | 0.723376i | −0.281235 | − | 0.959639i | \(-0.590744\pi\) |
−0.971689 | + | 0.236263i | \(0.924077\pi\) | |||||||
\(828\) | 0.631391i | 0.0219424i | ||||||||
\(829\) | 3.66209 | + | 0.981254i | 0.127190 | + | 0.0340804i | 0.321852 | − | 0.946790i | \(-0.395695\pi\) |
−0.194663 | + | 0.980870i | \(0.562361\pi\) | |||||||
\(830\) | −34.9888 | − | 9.18747i | −1.21448 | − | 0.318902i | ||||
\(831\) | −5.57333 | − | 1.49337i | −0.193337 | − | 0.0518044i | ||||
\(832\) | −1.30781 | + | 2.26519i | −0.0453401 | + | 0.0785314i | ||||
\(833\) | −28.5548 | + | 49.4583i | −0.989365 | + | 1.71363i | ||||
\(834\) | 15.9613 | + | 4.27683i | 0.552696 | + | 0.148094i | ||||
\(835\) | 6.77730 | + | 11.6039i | 0.234538 | + | 0.401569i | ||||
\(836\) | 11.1365 | + | 2.98401i | 0.385163 | + | 0.103204i | ||||
\(837\) | − | 44.6963i | − | 1.54493i | ||||||
\(838\) | −12.8156 | − | 7.39907i | −0.442706 | − | 0.255597i | ||||
\(839\) | 3.38494 | + | 5.86289i | 0.116861 | + | 0.202410i | 0.918522 | − | 0.395369i | \(-0.129383\pi\) |
−0.801661 | + | 0.597779i | \(0.796050\pi\) | |||||||
\(840\) | 18.9746 | − | 0.0951233i | 0.654685 | − | 0.00328206i | ||||
\(841\) | − | 24.3416i | − | 0.839367i | ||||||
\(842\) | −2.98734 | + | 11.1489i | −0.102950 | + | 0.384216i | ||||
\(843\) | − | 1.41303i | − | 0.0486674i | ||||||
\(844\) | −1.80967 | + | 3.13444i | −0.0622915 | + | 0.107892i | ||||
\(845\) | 0.0690355 | + | 13.7707i | 0.00237489 | + | 0.473728i | ||||
\(846\) | 0.0104985 | − | 0.00281305i | 0.000360944 | − | 9.67147e-5i | ||||
\(847\) | −9.69859 | − | 36.1956i | −0.333248 | − | 1.24370i | ||||
\(848\) | 2.60711 | − | 0.698572i | 0.0895284 | − | 0.0239891i | ||||
\(849\) | 5.58461 | − | 20.8421i | 0.191663 | − | 0.715298i | ||||
\(850\) | 0.174412 | + | 17.3949i | 0.00598229 | + | 0.596639i | ||||
\(851\) | −18.7180 | − | 47.4095i | −0.641645 | − | 1.62518i | ||||
\(852\) | −14.4304 | + | 14.4304i | −0.494378 | + | 0.494378i | ||||
\(853\) | 32.1303 | − | 18.5504i | 1.10012 | − | 0.635155i | 0.163868 | − | 0.986482i | \(-0.447603\pi\) |
0.936253 | + | 0.351327i | \(0.114269\pi\) | |||||||
\(854\) | −12.8100 | + | 22.1875i | −0.438348 | + | 0.759242i | ||||
\(855\) | −1.03844 | + | 0.283836i | −0.0355138 | + | 0.00970698i | ||||
\(856\) | 0.356896 | + | 1.33196i | 0.0121985 | + | 0.0455253i | ||||
\(857\) | 2.18852i | 0.0747584i | 0.999301 | + | 0.0373792i | \(0.0119009\pi\) | ||||
−0.999301 | + | 0.0373792i | \(0.988099\pi\) | |||||||
\(858\) | 7.99476 | − | 2.14219i | 0.272937 | − | 0.0731331i | ||||
\(859\) | 26.1772 | + | 26.1772i | 0.893156 | + | 0.893156i | 0.994819 | − | 0.101663i | \(-0.0324164\pi\) |
−0.101663 | + | 0.994819i | \(0.532416\pi\) | |||||||
\(860\) | 2.62507 | − | 1.53318i | 0.0895142 | − | 0.0522811i | ||||
\(861\) | 21.9820 | 0.749145 | ||||||||
\(862\) | −2.23670 | − | 2.23670i | −0.0761824 | − | 0.0761824i | ||||
\(863\) | −13.3742 | + | 49.9133i | −0.455264 | + | 1.69907i | 0.232046 | + | 0.972705i | \(0.425458\pi\) |
−0.687310 | + | 0.726364i | \(0.741209\pi\) | |||||||
\(864\) | −4.95410 | + | 1.32745i | −0.168542 | + | 0.0451607i | ||||
\(865\) | −0.625357 | − | 0.619118i | −0.0212628 | − | 0.0210507i | ||||
\(866\) | 6.75580 | − | 25.2130i | 0.229572 | − | 0.856773i | ||||
\(867\) | 8.29259 | + | 2.22199i | 0.281631 | + | 0.0754629i | ||||
\(868\) | 21.0846 | + | 36.5196i | 0.715658 | + | 1.23956i | ||||
\(869\) | 6.63366 | + | 24.7572i | 0.225031 | + | 0.839829i | ||||
\(870\) | 14.1952 | − | 24.8740i | 0.481263 | − | 0.843308i | ||||
\(871\) | −6.67422 | + | 24.9085i | −0.226147 | + | 0.843993i | ||||
\(872\) | −0.635304 | + | 2.37099i | −0.0215141 | + | 0.0802917i | ||||
\(873\) | 0.155548 | + | 0.269417i | 0.00526451 | + | 0.00911839i | ||||
\(874\) | −37.8591 | − | 37.8591i | −1.28060 | − | 1.28060i | ||||
\(875\) | 52.0405 | − | 14.7865i | 1.75929 | − | 0.499875i | ||||
\(876\) | 6.90121 | − | 3.98442i | 0.233170 | − | 0.134621i | ||||
\(877\) | 0.123963 | − | 0.123963i | 0.00418594 | − | 0.00418594i | −0.705011 | − | 0.709197i | \(-0.749058\pi\) |
0.709197 | + | 0.705011i | \(0.249058\pi\) | |||||||
\(878\) | 18.4388 | − | 18.4388i | 0.622278 | − | 0.622278i | ||||
\(879\) | 10.5181 | + | 18.2178i | 0.354766 | + | 0.614473i | ||||
\(880\) | −4.03478 | + | 0.0202271i | −0.136012 | + | 0.000681856i | ||||
\(881\) | −18.6878 | − | 10.7894i | −0.629609 | − | 0.363505i | 0.150992 | − | 0.988535i | \(-0.451753\pi\) |
−0.780601 | + | 0.625030i | \(0.785087\pi\) | |||||||
\(882\) | 1.23684 | 0.0416465 | ||||||||
\(883\) | −19.4688 | − | 11.2403i | −0.655177 | − | 0.378267i | 0.135260 | − | 0.990810i | \(-0.456813\pi\) |
−0.790437 | + | 0.612544i | \(0.790146\pi\) | |||||||
\(884\) | −7.88094 | − | 4.55006i | −0.265065 | − | 0.153035i | ||||
\(885\) | 36.5532 | + | 20.8604i | 1.22872 | + | 0.701214i | ||||
\(886\) | −9.30331 | − | 2.49282i | −0.312551 | − | 0.0837478i | ||||
\(887\) | 17.4040 | + | 17.4040i | 0.584368 | + | 0.584368i | 0.936100 | − | 0.351733i | \(-0.114407\pi\) |
−0.351733 | + | 0.936100i | \(0.614407\pi\) | |||||||
\(888\) | −8.56988 | + | 6.35177i | −0.287587 | + | 0.213151i | ||||
\(889\) | − | 50.8262i | − | 1.70466i | ||||||
\(890\) | −2.21025 | + | 8.41731i | −0.0740876 | + | 0.282149i | ||||
\(891\) | 14.4085 | + | 8.31875i | 0.482703 | + | 0.278689i | ||||
\(892\) | −3.48582 | + | 0.934023i | −0.116714 | + | 0.0312734i | ||||
\(893\) | −0.460827 | + | 0.798176i | −0.0154210 | + | 0.0267099i | ||||
\(894\) | −16.3328 | − | 16.3328i | −0.546252 | − | 0.546252i | ||||
\(895\) | 18.7174 | − | 5.11603i | 0.625655 | − | 0.171010i | ||||
\(896\) | 3.42161 | − | 3.42161i | 0.114308 | − | 0.114308i | ||||
\(897\) | −37.1267 | − | 9.94807i | −1.23962 | − | 0.332156i | ||||
\(898\) | 9.95588 | + | 9.95588i | 0.332232 | + | 0.332232i | ||||
\(899\) | 63.6478 | 2.12277 | ||||||||
\(900\) | 0.324366 | − | 0.191634i | 0.0108122 | − | 0.00638781i | ||||
\(901\) | 2.43044 | + | 9.07051i | 0.0809696 | + | 0.302183i | ||||
\(902\) | −4.67428 | −0.155637 | ||||||||
\(903\) | 9.99110 | − | 5.76836i | 0.332483 | − | 0.191959i | ||||
\(904\) | −7.28479 | + | 4.20588i | −0.242289 | + | 0.139885i | ||||
\(905\) | −13.5326 | + | 7.90377i | −0.449839 | + | 0.262730i | ||||
\(906\) | 17.8258 | − | 4.77640i | 0.592222 | − | 0.158685i | ||||
\(907\) | 18.9083 | + | 10.9167i | 0.627839 | + | 0.362483i | 0.779915 | − | 0.625886i | \(-0.215262\pi\) |
−0.152076 | + | 0.988369i | \(0.548596\pi\) | |||||||
\(908\) | 10.7831 | − | 6.22565i | 0.357851 | − | 0.206606i | ||||
\(909\) | 0.329239 | + | 0.570258i | 0.0109202 | + | 0.0189143i | ||||
\(910\) | −7.18775 | + | 27.3732i | −0.238272 | + | 0.907413i | ||||
\(911\) | −14.5817 | + | 14.5817i | −0.483114 | + | 0.483114i | −0.906125 | − | 0.423011i | \(-0.860973\pi\) |
0.423011 | + | 0.906125i | \(0.360973\pi\) | |||||||
\(912\) | −5.60249 | + | 9.70379i | −0.185517 | + | 0.321325i | ||||
\(913\) | 28.1972 | + | 7.55542i | 0.933192 | + | 0.250048i | ||||
\(914\) | 18.9612i | 0.627179i | ||||||||
\(915\) | 0.104082 | + | 20.7616i | 0.00344084 | + | 0.686356i | ||||
\(916\) | 15.5682 | − | 8.98833i | 0.514389 | − | 0.296983i | ||||
\(917\) | −57.7633 | −1.90751 | ||||||||
\(918\) | −4.61839 | − | 17.2361i | −0.152430 | − | 0.568875i | ||||
\(919\) | −34.7628 | + | 34.7628i | −1.14672 | + | 1.14672i | −0.159524 | + | 0.987194i | \(0.550996\pi\) |
−0.987194 | + | 0.159524i | \(0.949004\pi\) | |||||||
\(920\) | 16.2737 | + | 9.28716i | 0.536528 | + | 0.306189i | ||||
\(921\) | −23.7190 | + | 41.0826i | −0.781568 | + | 1.35372i | ||||
\(922\) | 1.05133 | + | 3.92362i | 0.0346238 | + | 0.129218i | ||||
\(923\) | −15.2192 | − | 26.3604i | −0.500945 | − | 0.867662i | ||||
\(924\) | −15.3120 | −0.503729 | ||||||||
\(925\) | −18.6747 | + | 24.0054i | −0.614019 | + | 0.789291i | ||||
\(926\) | 1.20113 | 0.0394717 | ||||||||
\(927\) | 0.0450634 | + | 0.0780521i | 0.00148008 | + | 0.00256357i | ||||
\(928\) | −1.89029 | − | 7.05467i | −0.0620520 | − | 0.231581i | ||||
\(929\) | 7.15756 | − | 12.3973i | 0.234832 | − | 0.406741i | −0.724392 | − | 0.689388i | \(-0.757879\pi\) |
0.959224 | + | 0.282647i | \(0.0912127\pi\) | |||||||
\(930\) | 29.6799 | + | 16.9379i | 0.973243 | + | 0.555415i | ||||
\(931\) | −74.1625 | + | 74.1625i | −2.43058 | + | 2.43058i | ||||
\(932\) | −3.57860 | − | 13.3555i | −0.117221 | − | 0.437474i | ||||
\(933\) | −24.2301 | −0.793256 | ||||||||
\(934\) | 30.8853 | − | 17.8316i | 1.01060 | − | 0.583469i | ||||
\(935\) | −0.0703732 | − | 14.0376i | −0.00230145 | − | 0.459078i | ||||
\(936\) | 0.197084i | 0.00644189i | ||||||||
\(937\) | −50.6544 | − | 13.5728i | −1.65481 | − | 0.443404i | −0.693855 | − | 0.720115i | \(-0.744089\pi\) |
−0.960953 | + | 0.276711i | \(0.910756\pi\) | |||||||
\(938\) | 23.8531 | − | 41.3148i | 0.778832 | − | 1.34898i | ||||
\(939\) | −4.74943 | + | 4.74943i | −0.154992 | + | 0.154992i | ||||
\(940\) | 0.0819177 | − | 0.311968i | 0.00267186 | − | 0.0101753i | ||||
\(941\) | −12.1789 | − | 21.0944i | −0.397019 | − | 0.687658i | 0.596337 | − | 0.802734i | \(-0.296622\pi\) |
−0.993357 | + | 0.115076i | \(0.963289\pi\) | |||||||
\(942\) | −4.68562 | + | 2.70524i | −0.152666 | + | 0.0881416i | ||||
\(943\) | 18.7987 | + | 10.8534i | 0.612168 | + | 0.353436i | ||||
\(944\) | 10.3671 | − | 2.77785i | 0.337420 | − | 0.0904113i | ||||
\(945\) | −47.9201 | + | 27.9879i | −1.55884 | + | 0.910448i | ||||
\(946\) | −2.12452 | + | 1.22659i | −0.0690741 | + | 0.0398799i | ||||
\(947\) | 47.9003 | − | 27.6552i | 1.55655 | − | 0.898674i | 0.558966 | − | 0.829191i | \(-0.311198\pi\) |
0.997583 | − | 0.0694834i | \(-0.0221351\pi\) | |||||||
\(948\) | −24.9095 | −0.809021 | ||||||||
\(949\) | 3.07622 | + | 11.4806i | 0.0998585 | + | 0.372677i | ||||
\(950\) | −7.95875 | + | 30.9400i | −0.258216 | + | 1.00383i | ||||
\(951\) | −13.6109 | −0.441363 | ||||||||
\(952\) | 11.9043 | + | 11.9043i | 0.385820 | + | 0.385820i | ||||
\(953\) | 5.07414 | + | 1.35961i | 0.164368 | + | 0.0440422i | 0.340064 | − | 0.940402i | \(-0.389551\pi\) |
−0.175697 | + | 0.984444i | \(0.556218\pi\) | |||||||
\(954\) | 0.143806 | − | 0.143806i | 0.00465589 | − | 0.00465589i | ||||
\(955\) | 16.5258 | − | 4.51700i | 0.534764 | − | 0.146167i | ||||
\(956\) | −20.8947 | − | 20.8947i | −0.675783 | − | 0.675783i | ||||
\(957\) | −11.5555 | + | 20.0148i | −0.373538 | + | 0.646986i | ||||
\(958\) | −33.9308 | + | 9.09174i | −1.09626 | + | 0.293741i | ||||
\(959\) | 18.1806 | + | 10.4966i | 0.587081 | + | 0.338951i | ||||
\(960\) | 0.995911 | − | 3.79274i | 0.0321429 | − | 0.122410i | ||||
\(961\) | 44.9452i | 1.44984i | ||||||||
\(962\) | −5.84269 | − | 14.7985i | −0.188376 | − | 0.477124i | ||||
\(963\) | 0.0734697 | + | 0.0734697i | 0.00236753 | + | 0.00236753i | ||||
\(964\) | 10.2874 | + | 2.75650i | 0.331335 | + | 0.0887808i | ||||
\(965\) | 19.2549 | + | 10.9885i | 0.619836 | + | 0.353731i | ||||
\(966\) | 61.5806 | + | 35.5536i | 1.98132 | + | 1.14392i | ||||
\(967\) | −43.3650 | − | 25.0368i | −1.39453 | − | 0.805130i | −0.400713 | − | 0.916204i | \(-0.631238\pi\) |
−0.993812 | + | 0.111074i | \(0.964571\pi\) | |||||||
\(968\) | −7.74403 | −0.248903 | ||||||||
\(969\) | −33.7609 | − | 19.4919i | −1.08456 | − | 0.626170i | ||||
\(970\) | 9.23203 | − | 0.0462819i | 0.296422 | − | 0.00148602i | ||||
\(971\) | −1.43410 | − | 2.48393i | −0.0460224 | − | 0.0797131i | 0.842097 | − | 0.539327i | \(-0.181321\pi\) |
−0.888119 | + | 0.459614i | \(0.847988\pi\) | |||||||
\(972\) | −0.553570 | + | 0.553570i | −0.0177558 | + | 0.0177558i | ||||
\(973\) | 32.2410 | − | 32.2410i | 1.03360 | − | 1.03360i | ||||
\(974\) | −29.9879 | + | 17.3135i | −0.960874 | + | 0.554761i | ||||
\(975\) | 6.15773 | + | 22.0925i | 0.197205 | + | 0.707527i | ||||
\(976\) | 3.74385 | + | 3.74385i | 0.119838 | + | 0.119838i | ||||
\(977\) | −0.686143 | − | 1.18843i | −0.0219517 | − | 0.0380214i | 0.854841 | − | 0.518890i | \(-0.173655\pi\) |
−0.876793 | + | 0.480869i | \(0.840321\pi\) | |||||||
\(978\) | 4.19046 | − | 15.6390i | 0.133996 | − | 0.500080i | ||||
\(979\) | 1.81762 | − | 6.78345i | 0.0580914 | − | 0.216800i | ||||
\(980\) | 18.1927 | − | 31.8787i | 0.581146 | − | 1.01833i | ||||
\(981\) | 0.0478695 | + | 0.178651i | 0.00152835 | + | 0.00570390i | ||||
\(982\) | −19.0952 | − | 33.0738i | −0.609352 | − | 1.05543i | ||||
\(983\) | 30.4979 | + | 8.17188i | 0.972731 | + | 0.260643i | 0.709981 | − | 0.704221i | \(-0.248704\pi\) |
0.262751 | + | 0.964864i | \(0.415370\pi\) | |||||||
\(984\) | 1.17576 | − | 4.38799i | 0.0374818 | − | 0.139884i | ||||
\(985\) | −11.8540 | − | 11.7357i | −0.377699 | − | 0.373931i | ||||
\(986\) | 24.5443 | − | 6.57661i | 0.781648 | − | 0.209442i | ||||
\(987\) | 0.316806 | − | 1.18234i | 0.0100840 | − | 0.0376341i | ||||
\(988\) | −11.8174 | − | 11.8174i | −0.375963 | − | 0.375963i | ||||
\(989\) | 11.3923 | 0.362254 | ||||||||
\(990\) | −0.262524 | + | 0.153328i | −0.00834355 | + | 0.00487308i | ||||
\(991\) | 11.5927 | + | 11.5927i | 0.368254 | + | 0.368254i | 0.866840 | − | 0.498586i | \(-0.166147\pi\) |
−0.498586 | + | 0.866840i | \(0.666147\pi\) | |||||||
\(992\) | 8.41771 | − | 2.25552i | 0.267262 | − | 0.0716128i | ||||
\(993\) | − | 5.90008i | − | 0.187233i | ||||||
\(994\) | 14.5743 | + | 54.3921i | 0.462269 | + | 1.72521i | ||||
\(995\) | 18.7979 | − | 5.13803i | 0.595935 | − | 0.162887i | ||||
\(996\) | −14.1853 | + | 24.5697i | −0.449480 | + | 0.778522i | ||||
\(997\) | 51.1355 | − | 29.5231i | 1.61948 | − | 0.935006i | 0.632422 | − | 0.774624i | \(-0.282061\pi\) |
0.987055 | − | 0.160382i | \(-0.0512725\pi\) | |||||||
\(998\) | 26.0466 | − | 26.0466i | 0.824492 | − | 0.824492i | ||||
\(999\) | 12.4176 | − | 28.6199i | 0.392877 | − | 0.905492i |
(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 | 370.2.q.f.103.3 | yes | 32 | |
5.2 | odd | 4 | 370.2.r.f.177.3 | yes | 32 | ||
37.23 | odd | 12 | 370.2.r.f.23.3 | yes | 32 | ||
185.97 | even | 12 | inner | 370.2.q.f.97.3 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.q.f.97.3 | ✓ | 32 | 185.97 | even | 12 | inner | |
370.2.q.f.103.3 | yes | 32 | 1.1 | even | 1 | trivial | |
370.2.r.f.23.3 | yes | 32 | 37.23 | odd | 12 | ||
370.2.r.f.177.3 | yes | 32 | 5.2 | odd | 4 |