Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,2,Mod(4,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.m (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.790518980011\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 4.1 | ||
Character | \(\chi\) | \(=\) | 99.4 |
Dual form | 99.2.m.b.25.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.231548 | + | 2.20304i | −0.163729 | + | 1.55778i | 0.536523 | + | 0.843886i | \(0.319737\pi\) |
−0.700252 | + | 0.713895i | \(0.746929\pi\) | |||||||
\(3\) | −0.679127 | + | 1.59336i | −0.392094 | + | 0.919925i | ||||
\(4\) | −2.84345 | − | 0.604395i | −1.42173 | − | 0.302197i | ||||
\(5\) | 0.0650661 | + | 0.619063i | 0.0290984 | + | 0.276853i | 0.999390 | + | 0.0349156i | \(0.0111162\pi\) |
−0.970292 | + | 0.241938i | \(0.922217\pi\) | |||||||
\(6\) | −3.35297 | − | 1.86508i | −1.36884 | − | 0.761415i | ||||
\(7\) | 1.72584 | − | 1.91674i | 0.652307 | − | 0.724461i | −0.322733 | − | 0.946490i | \(-0.604601\pi\) |
0.975040 | + | 0.222030i | \(0.0712682\pi\) | |||||||
\(8\) | 0.620850 | − | 1.91078i | 0.219504 | − | 0.675563i | ||||
\(9\) | −2.07757 | − | 2.16418i | −0.692525 | − | 0.721394i | ||||
\(10\) | −1.37888 | −0.436041 | ||||||||
\(11\) | 1.87102 | + | 2.73848i | 0.564133 | + | 0.825684i | ||||
\(12\) | 2.89408 | − | 4.12018i | 0.835450 | − | 1.18939i | ||||
\(13\) | 0.103077 | − | 0.0458927i | 0.0285883 | − | 0.0127284i | −0.392393 | − | 0.919798i | \(-0.628353\pi\) |
0.420981 | + | 0.907069i | \(0.361686\pi\) | |||||||
\(14\) | 3.82304 | + | 4.24591i | 1.02175 | + | 1.13477i | ||||
\(15\) | −1.03058 | − | 0.316748i | −0.266094 | − | 0.0817841i | ||||
\(16\) | −1.24556 | − | 0.554558i | −0.311389 | − | 0.138639i | ||||
\(17\) | 1.91845 | − | 1.39383i | 0.465292 | − | 0.338054i | −0.330312 | − | 0.943872i | \(-0.607154\pi\) |
0.795604 | + | 0.605817i | \(0.207154\pi\) | |||||||
\(18\) | 5.24883 | − | 4.07586i | 1.23716 | − | 0.960689i | ||||
\(19\) | −1.81473 | + | 5.58516i | −0.416328 | + | 1.28132i | 0.494730 | + | 0.869046i | \(0.335267\pi\) |
−0.911058 | + | 0.412278i | \(0.864733\pi\) | |||||||
\(20\) | 0.189146 | − | 1.79960i | 0.0422943 | − | 0.402403i | ||||
\(21\) | 1.88199 | + | 4.05159i | 0.410684 | + | 0.884130i | ||||
\(22\) | −6.46621 | + | 3.48783i | −1.37860 | + | 0.743607i | ||||
\(23\) | 0.964846 | − | 1.67116i | 0.201184 | − | 0.348462i | −0.747726 | − | 0.664007i | \(-0.768854\pi\) |
0.948910 | + | 0.315546i | \(0.102188\pi\) | |||||||
\(24\) | 2.62292 | + | 2.28690i | 0.535401 | + | 0.466811i | ||||
\(25\) | 4.51173 | − | 0.958998i | 0.902347 | − | 0.191800i | ||||
\(26\) | 0.0772360 | + | 0.237708i | 0.0151472 | + | 0.0466184i | ||||
\(27\) | 4.85925 | − | 1.84056i | 0.935163 | − | 0.354217i | ||||
\(28\) | −6.06582 | + | 4.40708i | −1.14633 | + | 0.832860i | ||||
\(29\) | −4.62812 | + | 5.14004i | −0.859419 | + | 0.954482i | −0.999363 | − | 0.0356775i | \(-0.988641\pi\) |
0.139944 | + | 0.990159i | \(0.455308\pi\) | |||||||
\(30\) | 0.936436 | − | 2.19705i | 0.170969 | − | 0.401125i | ||||
\(31\) | 9.15668 | − | 4.07682i | 1.64459 | − | 0.732218i | 0.645097 | − | 0.764101i | \(-0.276817\pi\) |
0.999492 | + | 0.0318832i | \(0.0101505\pi\) | |||||||
\(32\) | 3.51923 | − | 6.09548i | 0.622118 | − | 1.07754i | ||||
\(33\) | −5.63404 | + | 1.12142i | −0.980761 | + | 0.195215i | ||||
\(34\) | 2.62645 | + | 4.54915i | 0.450433 | + | 0.780173i | ||||
\(35\) | 1.29888 | + | 0.943690i | 0.219550 | + | 0.159513i | ||||
\(36\) | 4.59947 | + | 7.40943i | 0.766578 | + | 1.23490i | ||||
\(37\) | −3.09510 | − | 9.52574i | −0.508831 | − | 1.56602i | −0.794232 | − | 0.607614i | \(-0.792127\pi\) |
0.285401 | − | 0.958408i | \(-0.407873\pi\) | |||||||
\(38\) | −11.8841 | − | 5.29115i | −1.92786 | − | 0.858338i | ||||
\(39\) | 0.00312134 | + | 0.195405i | 0.000499814 | + | 0.0312898i | ||||
\(40\) | 1.22329 | + | 0.260018i | 0.193419 | + | 0.0411125i | ||||
\(41\) | −5.61379 | − | 6.23475i | −0.876727 | − | 0.973704i | 0.123098 | − | 0.992394i | \(-0.460717\pi\) |
−0.999825 | + | 0.0186906i | \(0.994050\pi\) | |||||||
\(42\) | −9.36158 | + | 3.20795i | −1.44452 | + | 0.494997i | ||||
\(43\) | 1.07224 | + | 1.85718i | 0.163515 | + | 0.283217i | 0.936127 | − | 0.351662i | \(-0.114383\pi\) |
−0.772612 | + | 0.634879i | \(0.781050\pi\) | |||||||
\(44\) | −3.66503 | − | 8.91759i | −0.552524 | − | 1.34438i | ||||
\(45\) | 1.20458 | − | 1.42696i | 0.179569 | − | 0.212719i | ||||
\(46\) | 3.45822 | + | 2.51255i | 0.509887 | + | 0.370455i | ||||
\(47\) | 6.19352 | − | 1.31647i | 0.903417 | − | 0.192027i | 0.267294 | − | 0.963615i | \(-0.413870\pi\) |
0.636123 | + | 0.771588i | \(0.280537\pi\) | |||||||
\(48\) | 1.72950 | − | 1.60800i | 0.249632 | − | 0.232095i | ||||
\(49\) | 0.0363305 | + | 0.345662i | 0.00519007 | + | 0.0493803i | ||||
\(50\) | 1.06802 | + | 10.1616i | 0.151041 | + | 1.43706i | ||||
\(51\) | 0.918007 | + | 4.00336i | 0.128547 | + | 0.560583i | ||||
\(52\) | −0.320831 | + | 0.0681948i | −0.0444913 | + | 0.00945692i | ||||
\(53\) | −8.78317 | − | 6.38135i | −1.20646 | − | 0.876546i | −0.211557 | − | 0.977366i | \(-0.567853\pi\) |
−0.994905 | + | 0.100820i | \(0.967853\pi\) | |||||||
\(54\) | 2.92968 | + | 11.1313i | 0.398678 | + | 1.51478i | ||||
\(55\) | −1.57355 | + | 1.33646i | −0.212178 | + | 0.180208i | ||||
\(56\) | −2.59098 | − | 4.48771i | −0.346235 | − | 0.599696i | ||||
\(57\) | −7.66673 | − | 6.68455i | −1.01548 | − | 0.885390i | ||||
\(58\) | −10.2521 | − | 11.3861i | −1.34616 | − | 1.49506i | ||||
\(59\) | −2.46778 | − | 0.524544i | −0.321278 | − | 0.0682898i | 0.0444497 | − | 0.999012i | \(-0.485847\pi\) |
−0.365728 | + | 0.930722i | \(0.619180\pi\) | |||||||
\(60\) | 2.73895 | + | 1.52353i | 0.353597 | + | 0.196687i | ||||
\(61\) | −1.55601 | − | 0.692782i | −0.199227 | − | 0.0887016i | 0.304698 | − | 0.952449i | \(-0.401445\pi\) |
−0.503925 | + | 0.863747i | \(0.668111\pi\) | |||||||
\(62\) | 6.86116 | + | 21.1165i | 0.871368 | + | 2.68179i | ||||
\(63\) | −7.73375 | + | 0.247136i | −0.974360 | + | 0.0311362i | ||||
\(64\) | 10.4076 | + | 7.56157i | 1.30095 | + | 0.945197i | ||||
\(65\) | 0.0351173 | + | 0.0608249i | 0.00435576 | + | 0.00754440i | ||||
\(66\) | −1.16598 | − | 12.6717i | −0.143523 | − | 1.55977i | ||||
\(67\) | 1.66588 | − | 2.88539i | 0.203520 | − | 0.352507i | −0.746140 | − | 0.665789i | \(-0.768095\pi\) |
0.949660 | + | 0.313282i | \(0.101429\pi\) | |||||||
\(68\) | −6.29745 | + | 2.80380i | −0.763678 | + | 0.340011i | ||||
\(69\) | 2.00751 | + | 2.67228i | 0.241675 | + | 0.321704i | ||||
\(70\) | −2.37973 | + | 2.64296i | −0.284433 | + | 0.315894i | ||||
\(71\) | −4.67454 | + | 3.39625i | −0.554765 | + | 0.403061i | −0.829539 | − | 0.558448i | \(-0.811397\pi\) |
0.274774 | + | 0.961509i | \(0.411397\pi\) | |||||||
\(72\) | −5.42514 | + | 2.62615i | −0.639359 | + | 0.309495i | ||||
\(73\) | 1.81471 | + | 5.58511i | 0.212396 | + | 0.653687i | 0.999328 | + | 0.0366479i | \(0.0116680\pi\) |
−0.786932 | + | 0.617039i | \(0.788332\pi\) | |||||||
\(74\) | 21.7022 | − | 4.61295i | 2.52283 | − | 0.536244i | ||||
\(75\) | −1.53601 | + | 7.84008i | −0.177363 | + | 0.905295i | ||||
\(76\) | 8.53575 | − | 14.7843i | 0.979117 | − | 1.69588i | ||||
\(77\) | 8.47805 | + | 1.13993i | 0.966163 | + | 0.129907i | ||||
\(78\) | −0.431207 | − | 0.0383693i | −0.0488246 | − | 0.00434447i | ||||
\(79\) | 0.101823 | − | 0.968785i | 0.0114560 | − | 0.108997i | −0.987300 | − | 0.158870i | \(-0.949215\pi\) |
0.998756 | + | 0.0498730i | \(0.0158817\pi\) | |||||||
\(80\) | 0.262262 | − | 0.807160i | 0.0293218 | − | 0.0902433i | ||||
\(81\) | −0.367372 | + | 8.99250i | −0.0408191 | + | 0.999167i | ||||
\(82\) | 15.0352 | − | 10.9237i | 1.66036 | − | 1.20632i | ||||
\(83\) | 5.66325 | + | 2.52144i | 0.621623 | + | 0.276764i | 0.693284 | − | 0.720665i | \(-0.256163\pi\) |
−0.0716610 | + | 0.997429i | \(0.522830\pi\) | |||||||
\(84\) | −2.90259 | − | 12.6580i | −0.316698 | − | 1.38110i | ||||
\(85\) | 0.987697 | + | 1.09695i | 0.107131 | + | 0.118981i | ||||
\(86\) | −4.33971 | + | 1.93216i | −0.467963 | + | 0.208350i | ||||
\(87\) | −5.04685 | − | 10.8650i | −0.541079 | − | 1.16485i | ||||
\(88\) | 6.39426 | − | 1.87492i | 0.681630 | − | 0.199867i | ||||
\(89\) | −3.94867 | −0.418558 | −0.209279 | − | 0.977856i | \(-0.567112\pi\) | ||||
−0.209279 | + | 0.977856i | \(0.567112\pi\) | |||||||
\(90\) | 2.86473 | + | 2.98415i | 0.301969 | + | 0.314557i | ||||
\(91\) | 0.0899297 | − | 0.276775i | 0.00942720 | − | 0.0290139i | ||||
\(92\) | −3.75354 | + | 4.16873i | −0.391333 | + | 0.434620i | ||||
\(93\) | 0.277280 | + | 17.3585i | 0.0287526 | + | 1.80000i | ||||
\(94\) | 1.46614 | + | 13.9494i | 0.151221 | + | 1.43877i | ||||
\(95\) | −3.57564 | − | 0.760026i | −0.366853 | − | 0.0779771i | ||||
\(96\) | 7.32228 | + | 9.74699i | 0.747327 | + | 0.994798i | ||||
\(97\) | −0.0343722 | + | 0.327030i | −0.00348997 | + | 0.0332048i | −0.996128 | − | 0.0879115i | \(-0.971981\pi\) |
0.992638 | + | 0.121116i | \(0.0386474\pi\) | |||||||
\(98\) | −0.769917 | −0.0777734 | ||||||||
\(99\) | 2.03940 | − | 9.73863i | 0.204967 | − | 0.978769i | ||||
\(100\) | −13.4085 | −1.34085 | ||||||||
\(101\) | 1.38053 | − | 13.1348i | 0.137367 | − | 1.30696i | −0.681006 | − | 0.732278i | \(-0.738457\pi\) |
0.818374 | − | 0.574687i | \(-0.194876\pi\) | |||||||
\(102\) | −9.03211 | + | 1.09543i | −0.894312 | + | 0.108464i | ||||
\(103\) | −1.41603 | − | 0.300987i | −0.139526 | − | 0.0296572i | 0.137619 | − | 0.990485i | \(-0.456055\pi\) |
−0.277145 | + | 0.960828i | \(0.589388\pi\) | |||||||
\(104\) | −0.0236957 | − | 0.225449i | −0.00232355 | − | 0.0221071i | ||||
\(105\) | −2.38574 | + | 1.42869i | −0.232824 | + | 0.139426i | ||||
\(106\) | 16.0921 | − | 17.8720i | 1.56300 | − | 1.73589i | ||||
\(107\) | −3.14954 | + | 9.69330i | −0.304478 | + | 0.937087i | 0.675394 | + | 0.737457i | \(0.263974\pi\) |
−0.979872 | + | 0.199629i | \(0.936026\pi\) | |||||||
\(108\) | −14.9295 | + | 2.29665i | −1.43659 | + | 0.220995i | ||||
\(109\) | 1.77230 | 0.169755 | 0.0848775 | − | 0.996391i | \(-0.472950\pi\) | ||||
0.0848775 | + | 0.996391i | \(0.472950\pi\) | |||||||
\(110\) | −2.57991 | − | 3.77605i | −0.245985 | − | 0.360032i | ||||
\(111\) | 17.2799 | + | 1.53758i | 1.64013 | + | 0.145941i | ||||
\(112\) | −3.21258 | + | 1.43033i | −0.303560 | + | 0.135154i | ||||
\(113\) | −11.3405 | − | 12.5949i | −1.06682 | − | 1.18483i | −0.982088 | − | 0.188424i | \(-0.939662\pi\) |
−0.0847354 | − | 0.996403i | \(-0.527004\pi\) | |||||||
\(114\) | 16.5015 | − | 15.3423i | 1.54551 | − | 1.43694i | ||||
\(115\) | 1.09733 | + | 0.488564i | 0.102327 | + | 0.0455588i | ||||
\(116\) | 16.2665 | − | 11.8183i | 1.51030 | − | 1.09730i | ||||
\(117\) | −0.313470 | − | 0.127731i | −0.0289803 | − | 0.0118088i | ||||
\(118\) | 1.72700 | − | 5.31516i | 0.158983 | − | 0.489300i | ||||
\(119\) | 0.639319 | − | 6.08271i | 0.0586062 | − | 0.557601i | ||||
\(120\) | −1.24507 | + | 1.77255i | −0.113659 | + | 0.161811i | ||||
\(121\) | −3.99858 | + | 10.2475i | −0.363507 | + | 0.931591i | ||||
\(122\) | 1.88651 | − | 3.26754i | 0.170797 | − | 0.295829i | ||||
\(123\) | 13.7467 | − | 4.71059i | 1.23949 | − | 0.424740i | ||||
\(124\) | −28.5006 | + | 6.05799i | −2.55943 | + | 0.544024i | ||||
\(125\) | 1.84901 | + | 5.69068i | 0.165381 | + | 0.508990i | ||||
\(126\) | 1.24629 | − | 17.0949i | 0.111028 | − | 1.52294i | ||||
\(127\) | −8.10878 | + | 5.89137i | −0.719538 | + | 0.522775i | −0.886237 | − | 0.463233i | \(-0.846689\pi\) |
0.166699 | + | 0.986008i | \(0.446689\pi\) | |||||||
\(128\) | −9.64899 | + | 10.7163i | −0.852858 | + | 0.947195i | ||||
\(129\) | −3.68734 | + | 0.447206i | −0.324652 | + | 0.0393743i | ||||
\(130\) | −0.142131 | + | 0.0632807i | −0.0124657 | + | 0.00555008i | ||||
\(131\) | −2.28104 | + | 3.95088i | −0.199295 | + | 0.345190i | −0.948300 | − | 0.317375i | \(-0.897199\pi\) |
0.749005 | + | 0.662565i | \(0.230532\pi\) | |||||||
\(132\) | 16.6979 | + | 0.216468i | 1.45337 | + | 0.0188411i | ||||
\(133\) | 7.57338 | + | 13.1175i | 0.656696 | + | 1.13743i | ||||
\(134\) | 5.97089 | + | 4.33810i | 0.515806 | + | 0.374755i | ||||
\(135\) | 1.45560 | + | 2.88842i | 0.125278 | + | 0.248596i | ||||
\(136\) | −1.47224 | − | 4.53109i | −0.126244 | − | 0.388538i | ||||
\(137\) | −0.909837 | − | 0.405085i | −0.0777326 | − | 0.0346088i | 0.367502 | − | 0.930023i | \(-0.380213\pi\) |
−0.445235 | + | 0.895414i | \(0.646880\pi\) | |||||||
\(138\) | −6.35195 | + | 3.80385i | −0.540714 | + | 0.323805i | ||||
\(139\) | −12.4160 | − | 2.63911i | −1.05311 | − | 0.223846i | −0.351341 | − | 0.936248i | \(-0.614274\pi\) |
−0.701772 | + | 0.712402i | \(0.747608\pi\) | |||||||
\(140\) | −3.12294 | − | 3.46837i | −0.263936 | − | 0.293131i | ||||
\(141\) | −2.10857 | + | 10.7625i | −0.177574 | + | 0.906369i | ||||
\(142\) | −6.39968 | − | 11.0846i | −0.537049 | − | 0.930196i | ||||
\(143\) | 0.318535 | + | 0.196408i | 0.0266372 | + | 0.0164244i | ||||
\(144\) | 1.38757 | + | 3.84775i | 0.115631 | + | 0.320646i | ||||
\(145\) | −3.48314 | − | 2.53065i | −0.289259 | − | 0.210159i | ||||
\(146\) | −12.7244 | + | 2.70465i | −1.05308 | + | 0.223838i | ||||
\(147\) | −0.575436 | − | 0.176861i | −0.0474611 | − | 0.0145872i | ||||
\(148\) | 3.04347 | + | 28.9567i | 0.250172 | + | 2.38022i | ||||
\(149\) | 0.148211 | + | 1.41014i | 0.0121420 | + | 0.115523i | 0.998914 | − | 0.0465905i | \(-0.0148356\pi\) |
−0.986772 | + | 0.162114i | \(0.948169\pi\) | |||||||
\(150\) | −16.9163 | − | 5.19924i | −1.38121 | − | 0.424517i | ||||
\(151\) | −17.9455 | + | 3.81443i | −1.46038 | + | 0.310414i | −0.868531 | − | 0.495634i | \(-0.834936\pi\) |
−0.591850 | + | 0.806048i | \(0.701602\pi\) | |||||||
\(152\) | 9.54534 | + | 6.93510i | 0.774230 | + | 0.562511i | ||||
\(153\) | −7.00223 | − | 1.25608i | −0.566097 | − | 0.101548i | ||||
\(154\) | −4.47439 | + | 18.4135i | −0.360556 | + | 1.48380i | ||||
\(155\) | 3.11959 | + | 5.40329i | 0.250572 | + | 0.434003i | ||||
\(156\) | 0.109226 | − | 0.557512i | 0.00874511 | − | 0.0446367i | ||||
\(157\) | 8.97906 | + | 9.97226i | 0.716607 | + | 0.795873i | 0.985927 | − | 0.167178i | \(-0.0534654\pi\) |
−0.269320 | + | 0.963051i | \(0.586799\pi\) | |||||||
\(158\) | 2.11069 | + | 0.448641i | 0.167918 | + | 0.0356920i | ||||
\(159\) | 16.1327 | − | 9.66099i | 1.27940 | − | 0.766166i | ||||
\(160\) | 4.00247 | + | 1.78201i | 0.316423 | + | 0.140881i | ||||
\(161\) | −1.53802 | − | 4.73353i | −0.121213 | − | 0.373054i | ||||
\(162\) | −19.7257 | − | 2.89153i | −1.54980 | − | 0.227180i | ||||
\(163\) | −12.6583 | − | 9.19676i | −0.991471 | − | 0.720346i | −0.0312281 | − | 0.999512i | \(-0.509942\pi\) |
−0.960243 | + | 0.279167i | \(0.909942\pi\) | |||||||
\(164\) | 12.1943 | + | 21.1212i | 0.952216 | + | 1.64929i | ||||
\(165\) | −1.06082 | − | 3.41486i | −0.0825844 | − | 0.265846i | ||||
\(166\) | −6.86614 | + | 11.8925i | −0.532916 | + | 0.923038i | ||||
\(167\) | 8.49422 | − | 3.78187i | 0.657303 | − | 0.292650i | −0.0508533 | − | 0.998706i | \(-0.516194\pi\) |
0.708156 | + | 0.706056i | \(0.249527\pi\) | |||||||
\(168\) | 8.91014 | − | 1.08064i | 0.687432 | − | 0.0833728i | ||||
\(169\) | −8.69018 | + | 9.65142i | −0.668475 | + | 0.742417i | ||||
\(170\) | −2.64531 | + | 1.92193i | −0.202886 | + | 0.147406i | ||||
\(171\) | 15.8576 | − | 7.67619i | 1.21266 | − | 0.587013i | ||||
\(172\) | −1.92640 | − | 5.92886i | −0.146887 | − | 0.452071i | ||||
\(173\) | 13.1830 | − | 2.80213i | 1.00228 | − | 0.213042i | 0.322590 | − | 0.946539i | \(-0.395446\pi\) |
0.679693 | + | 0.733497i | \(0.262113\pi\) | |||||||
\(174\) | 25.1045 | − | 8.60262i | 1.90317 | − | 0.652163i | ||||
\(175\) | 5.94839 | − | 10.3029i | 0.449656 | − | 0.778827i | ||||
\(176\) | −0.811813 | − | 4.44852i | −0.0611927 | − | 0.335320i | ||||
\(177\) | 2.51172 | − | 3.57583i | 0.188793 | − | 0.268776i | ||||
\(178\) | 0.914308 | − | 8.69906i | 0.0685303 | − | 0.652022i | ||||
\(179\) | 6.27397 | − | 19.3093i | 0.468939 | − | 1.44325i | −0.385022 | − | 0.922908i | \(-0.625806\pi\) |
0.853961 | − | 0.520338i | \(-0.174194\pi\) | |||||||
\(180\) | −4.28763 | + | 3.32946i | −0.319581 | + | 0.248163i | ||||
\(181\) | 4.71361 | − | 3.42464i | 0.350360 | − | 0.254551i | −0.398660 | − | 0.917099i | \(-0.630525\pi\) |
0.749020 | + | 0.662548i | \(0.230525\pi\) | |||||||
\(182\) | 0.588922 | + | 0.262205i | 0.0436538 | + | 0.0194359i | ||||
\(183\) | 2.16058 | − | 2.00880i | 0.159715 | − | 0.148495i | ||||
\(184\) | −2.59420 | − | 2.88115i | −0.191247 | − | 0.212401i | ||||
\(185\) | 5.69564 | − | 2.53586i | 0.418752 | − | 0.186440i | ||||
\(186\) | −38.3057 | − | 3.40848i | −2.80871 | − | 0.249922i | ||||
\(187\) | 7.40644 | + | 2.64575i | 0.541613 | + | 0.193476i | ||||
\(188\) | −18.4067 | −1.34244 | ||||||||
\(189\) | 4.85842 | − | 12.4905i | 0.353398 | − | 0.908547i | ||||
\(190\) | 2.50230 | − | 7.70129i | 0.181536 | − | 0.558710i | ||||
\(191\) | −2.88896 | + | 3.20852i | −0.209038 | + | 0.232160i | −0.838542 | − | 0.544837i | \(-0.816592\pi\) |
0.629504 | + | 0.776997i | \(0.283258\pi\) | |||||||
\(192\) | −19.1164 | + | 11.4478i | −1.37961 | + | 0.826172i | ||||
\(193\) | −2.63412 | − | 25.0620i | −0.189608 | − | 1.80400i | −0.513696 | − | 0.857972i | \(-0.671724\pi\) |
0.324088 | − | 0.946027i | \(-0.394943\pi\) | |||||||
\(194\) | −0.712499 | − | 0.151446i | −0.0511545 | − | 0.0108732i | ||||
\(195\) | −0.120765 | + | 0.0146465i | −0.00864815 | + | 0.00104886i | ||||
\(196\) | 0.105612 | − | 1.00483i | 0.00754372 | − | 0.0717737i | ||||
\(197\) | 1.17388 | 0.0836352 | 0.0418176 | − | 0.999125i | \(-0.486685\pi\) | ||||
0.0418176 | + | 0.999125i | \(0.486685\pi\) | |||||||
\(198\) | 20.9823 | + | 6.74783i | 1.49115 | + | 0.479547i | ||||
\(199\) | −1.84404 | −0.130721 | −0.0653604 | − | 0.997862i | \(-0.520820\pi\) | ||||
−0.0653604 | + | 0.997862i | \(0.520820\pi\) | |||||||
\(200\) | 0.968675 | − | 9.21632i | 0.0684956 | − | 0.651692i | ||||
\(201\) | 3.46612 | + | 4.61389i | 0.244481 | + | 0.325439i | ||||
\(202\) | 28.6168 | + | 6.08270i | 2.01347 | + | 0.427977i | ||||
\(203\) | 1.86474 | + | 17.7418i | 0.130879 | + | 1.24523i | ||||
\(204\) | −0.190697 | − | 11.9382i | −0.0133515 | − | 0.835843i | ||||
\(205\) | 3.49443 | − | 3.88096i | 0.244062 | − | 0.271058i | ||||
\(206\) | 0.990966 | − | 3.04988i | 0.0690439 | − | 0.212495i | ||||
\(207\) | −5.62124 | + | 1.38386i | −0.390703 | + | 0.0961850i | ||||
\(208\) | −0.153838 | −0.0106668 | ||||||||
\(209\) | −18.6903 | + | 5.48034i | −1.29283 | + | 0.379083i | ||||
\(210\) | −2.59504 | − | 5.58667i | −0.179075 | − | 0.385517i | ||||
\(211\) | −13.1905 | + | 5.87277i | −0.908069 | + | 0.404298i | −0.806980 | − | 0.590579i | \(-0.798899\pi\) |
−0.101089 | + | 0.994877i | \(0.532233\pi\) | |||||||
\(212\) | 21.1177 | + | 23.4536i | 1.45037 | + | 1.61080i | ||||
\(213\) | −2.23684 | − | 9.75469i | −0.153265 | − | 0.668380i | ||||
\(214\) | −20.6254 | − | 9.18302i | −1.40992 | − | 0.627739i | ||||
\(215\) | −1.07994 | + | 0.784625i | −0.0736515 | + | 0.0535110i | ||||
\(216\) | −0.500046 | − | 10.4277i | −0.0340238 | − | 0.709513i | ||||
\(217\) | 7.98878 | − | 24.5869i | 0.542314 | − | 1.66907i | ||||
\(218\) | −0.410372 | + | 3.90443i | −0.0277939 | + | 0.264441i | ||||
\(219\) | −10.1315 | − | 0.901511i | −0.684622 | − | 0.0609185i | ||||
\(220\) | 5.28207 | − | 2.84912i | 0.356117 | − | 0.192087i | ||||
\(221\) | 0.133781 | − | 0.231715i | 0.00899905 | − | 0.0155868i | ||||
\(222\) | −7.38848 | + | 37.7121i | −0.495882 | + | 2.53107i | ||||
\(223\) | 14.7542 | − | 3.13609i | 0.988011 | − | 0.210008i | 0.314558 | − | 0.949238i | \(-0.398144\pi\) |
0.673453 | + | 0.739230i | \(0.264810\pi\) | |||||||
\(224\) | −5.60984 | − | 17.2653i | −0.374823 | − | 1.15359i | ||||
\(225\) | −11.4489 | − | 7.77182i | −0.763261 | − | 0.518122i | ||||
\(226\) | 30.3728 | − | 22.0672i | 2.02037 | − | 1.46789i | ||||
\(227\) | −2.92937 | + | 3.25340i | −0.194429 | + | 0.215936i | −0.832475 | − | 0.554063i | \(-0.813077\pi\) |
0.638045 | + | 0.769999i | \(0.279743\pi\) | |||||||
\(228\) | 17.7599 | + | 23.6409i | 1.17618 | + | 1.56566i | ||||
\(229\) | 11.9196 | − | 5.30697i | 0.787672 | − | 0.350694i | 0.0268373 | − | 0.999640i | \(-0.491456\pi\) |
0.760835 | + | 0.648946i | \(0.224790\pi\) | |||||||
\(230\) | −1.33041 | + | 2.30434i | −0.0877246 | + | 0.151944i | ||||
\(231\) | −7.57399 | + | 12.7344i | −0.498332 | + | 0.837862i | ||||
\(232\) | 6.94812 | + | 12.0345i | 0.456167 | + | 0.790104i | ||||
\(233\) | 12.1637 | + | 8.83741i | 0.796868 | + | 0.578958i | 0.909993 | − | 0.414623i | \(-0.136086\pi\) |
−0.113126 | + | 0.993581i | \(0.536086\pi\) | |||||||
\(234\) | 0.353980 | − | 0.661009i | 0.0231404 | − | 0.0432115i | ||||
\(235\) | 1.21797 | + | 3.74852i | 0.0794514 | + | 0.244526i | ||||
\(236\) | 6.70000 | + | 2.98303i | 0.436133 | + | 0.194179i | ||||
\(237\) | 1.47447 | + | 0.820169i | 0.0957771 | + | 0.0532757i | ||||
\(238\) | 13.2524 | + | 2.81688i | 0.859025 | + | 0.182591i | ||||
\(239\) | 5.79490 | + | 6.43589i | 0.374841 | + | 0.416303i | 0.900819 | − | 0.434195i | \(-0.142967\pi\) |
−0.525978 | + | 0.850498i | \(0.676301\pi\) | |||||||
\(240\) | 1.10799 | + | 0.966042i | 0.0715201 | + | 0.0623577i | ||||
\(241\) | 14.9277 | + | 25.8556i | 0.961580 | + | 1.66551i | 0.718535 | + | 0.695491i | \(0.244813\pi\) |
0.243046 | + | 0.970015i | \(0.421854\pi\) | |||||||
\(242\) | −21.6497 | − | 11.1818i | −1.39170 | − | 0.718794i | ||||
\(243\) | −14.0788 | − | 6.69240i | −0.903154 | − | 0.429318i | ||||
\(244\) | 4.00574 | + | 2.91034i | 0.256441 | + | 0.186315i | ||||
\(245\) | −0.211622 | + | 0.0449817i | −0.0135201 | + | 0.00287378i | ||||
\(246\) | 7.19459 | + | 31.3751i | 0.458710 | + | 2.00040i | ||||
\(247\) | 0.0692620 | + | 0.658983i | 0.00440703 | + | 0.0419301i | ||||
\(248\) | −2.10497 | − | 20.0275i | −0.133666 | − | 1.27175i | ||||
\(249\) | −7.86362 | + | 7.31120i | −0.498337 | + | 0.463329i | ||||
\(250\) | −12.9649 | + | 2.75578i | −0.819972 | + | 0.174291i | ||||
\(251\) | 14.0146 | + | 10.1822i | 0.884595 | + | 0.642696i | 0.934463 | − | 0.356060i | \(-0.115880\pi\) |
−0.0498679 | + | 0.998756i | \(0.515880\pi\) | |||||||
\(252\) | 22.1399 | + | 3.97152i | 1.39468 | + | 0.250182i | ||||
\(253\) | 6.38170 | − | 0.484561i | 0.401214 | − | 0.0304641i | ||||
\(254\) | −11.1013 | − | 19.2281i | −0.696559 | − | 1.20648i | ||||
\(255\) | −2.41860 | + | 0.828787i | −0.151459 | + | 0.0519006i | ||||
\(256\) | −4.15806 | − | 4.61799i | −0.259879 | − | 0.288625i | ||||
\(257\) | 11.5806 | + | 2.46153i | 0.722379 | + | 0.153546i | 0.554407 | − | 0.832246i | \(-0.312945\pi\) |
0.167971 | + | 0.985792i | \(0.446278\pi\) | |||||||
\(258\) | −0.131414 | − | 8.22689i | −0.00818146 | − | 0.512184i | ||||
\(259\) | −23.6001 | − | 10.5074i | −1.46644 | − | 0.652899i | ||||
\(260\) | −0.0630921 | − | 0.194178i | −0.00391281 | − | 0.0120424i | ||||
\(261\) | 20.7392 | − | 0.662734i | 1.28373 | − | 0.0410222i | ||||
\(262\) | −8.17575 | − | 5.94003i | −0.505100 | − | 0.366976i | ||||
\(263\) | 7.90974 | + | 13.7001i | 0.487736 | + | 0.844783i | 0.999901 | − | 0.0141042i | \(-0.00448966\pi\) |
−0.512165 | + | 0.858887i | \(0.671156\pi\) | |||||||
\(264\) | −1.35510 | + | 11.4616i | −0.0834006 | + | 0.705416i | ||||
\(265\) | 3.37897 | − | 5.85254i | 0.207568 | − | 0.359519i | ||||
\(266\) | −30.6519 | + | 13.6471i | −1.87939 | + | 0.836757i | ||||
\(267\) | 2.68165 | − | 6.29164i | 0.164114 | − | 0.385042i | ||||
\(268\) | −6.48078 | + | 7.19763i | −0.395876 | + | 0.439665i | ||||
\(269\) | −0.776777 | + | 0.564362i | −0.0473610 | + | 0.0344098i | −0.611214 | − | 0.791465i | \(-0.709318\pi\) |
0.563853 | + | 0.825875i | \(0.309318\pi\) | |||||||
\(270\) | −6.70034 | + | 2.53792i | −0.407770 | + | 0.154453i | ||||
\(271\) | 8.68963 | + | 26.7439i | 0.527858 | + | 1.62458i | 0.758595 | + | 0.651562i | \(0.225886\pi\) |
−0.230737 | + | 0.973016i | \(0.574114\pi\) | |||||||
\(272\) | −3.16250 | + | 0.672210i | −0.191755 | + | 0.0407587i | ||||
\(273\) | 0.379928 | + | 0.331256i | 0.0229943 | + | 0.0200485i | ||||
\(274\) | 1.10309 | − | 1.91061i | 0.0666400 | − | 0.115424i | ||||
\(275\) | 11.0677 | + | 10.5610i | 0.667410 | + | 0.636852i | ||||
\(276\) | −4.09314 | − | 8.81182i | −0.246378 | − | 0.530409i | ||||
\(277\) | 0.110754 | − | 1.05376i | 0.00665457 | − | 0.0633140i | −0.990691 | − | 0.136133i | \(-0.956533\pi\) |
0.997345 | + | 0.0728185i | \(0.0231994\pi\) | |||||||
\(278\) | 8.68895 | − | 26.7418i | 0.521129 | − | 1.60387i | ||||
\(279\) | −27.8467 | − | 11.3468i | −1.66714 | − | 0.679317i | ||||
\(280\) | 2.60959 | − | 1.89598i | 0.155953 | − | 0.113306i | ||||
\(281\) | −21.6450 | − | 9.63698i | −1.29123 | − | 0.574894i | −0.357851 | − | 0.933779i | \(-0.616491\pi\) |
−0.933382 | + | 0.358884i | \(0.883157\pi\) | |||||||
\(282\) | −23.2220 | − | 7.13730i | −1.38285 | − | 0.425020i | ||||
\(283\) | 5.37460 | + | 5.96910i | 0.319487 | + | 0.354826i | 0.881401 | − | 0.472370i | \(-0.156601\pi\) |
−0.561913 | + | 0.827196i | \(0.689935\pi\) | |||||||
\(284\) | 15.3445 | − | 6.83181i | 0.910529 | − | 0.405394i | ||||
\(285\) | 3.63931 | − | 5.18112i | 0.215574 | − | 0.306903i | ||||
\(286\) | −0.506450 | + | 0.656266i | −0.0299470 | + | 0.0388058i | ||||
\(287\) | −21.6389 | −1.27731 | ||||||||
\(288\) | −20.5032 | + | 5.04756i | −1.20816 | + | 0.297431i | ||||
\(289\) | −3.51562 | + | 10.8200i | −0.206801 | + | 0.636468i | ||||
\(290\) | 6.38163 | − | 7.08752i | 0.374742 | − | 0.416193i | ||||
\(291\) | −0.497732 | − | 0.276862i | −0.0291776 | − | 0.0162299i | ||||
\(292\) | −1.78444 | − | 16.9778i | −0.104426 | − | 0.993550i | ||||
\(293\) | −4.36588 | − | 0.927997i | −0.255058 | − | 0.0542142i | 0.0786082 | − | 0.996906i | \(-0.474952\pi\) |
−0.333666 | + | 0.942691i | \(0.608286\pi\) | |||||||
\(294\) | 0.522871 | − | 1.22675i | 0.0304945 | − | 0.0715457i | ||||
\(295\) | 0.164156 | − | 1.56184i | 0.00955755 | − | 0.0909340i | ||||
\(296\) | −20.1232 | −1.16964 | ||||||||
\(297\) | 14.1321 | + | 9.86325i | 0.820028 | + | 0.572324i | ||||
\(298\) | −3.14090 | −0.181948 | ||||||||
\(299\) | 0.0227590 | − | 0.216537i | 0.00131619 | − | 0.0125227i | ||||
\(300\) | 9.10608 | − | 21.3646i | 0.525740 | − | 1.23348i | ||||
\(301\) | 5.41026 | + | 1.14999i | 0.311842 | + | 0.0662841i | ||||
\(302\) | −4.24807 | − | 40.4177i | −0.244449 | − | 2.32578i | ||||
\(303\) | 19.9909 | + | 11.1199i | 1.14845 | + | 0.638821i | ||||
\(304\) | 5.35764 | − | 5.95027i | 0.307282 | − | 0.341271i | ||||
\(305\) | 0.327631 | − | 1.00835i | 0.0187601 | − | 0.0577377i | ||||
\(306\) | 4.38854 | − | 15.1353i | 0.250876 | − | 0.865228i | ||||
\(307\) | −29.8960 | −1.70625 | −0.853126 | − | 0.521704i | \(-0.825296\pi\) | ||||
−0.853126 | + | 0.521704i | \(0.825296\pi\) | |||||||
\(308\) | −23.4180 | − | 8.36543i | −1.33436 | − | 0.476665i | ||||
\(309\) | 1.44125 | − | 2.05184i | 0.0819897 | − | 0.116725i | ||||
\(310\) | −12.6260 | + | 5.62145i | −0.717108 | + | 0.319277i | ||||
\(311\) | 6.77857 | + | 7.52836i | 0.384377 | + | 0.426894i | 0.904020 | − | 0.427489i | \(-0.140602\pi\) |
−0.519643 | + | 0.854383i | \(0.673935\pi\) | |||||||
\(312\) | 0.375314 | + | 0.115353i | 0.0212480 | + | 0.00653058i | ||||
\(313\) | −10.6001 | − | 4.71946i | −0.599152 | − | 0.266760i | 0.0846694 | − | 0.996409i | \(-0.473017\pi\) |
−0.683821 | + | 0.729649i | \(0.739683\pi\) | |||||||
\(314\) | −24.0483 | + | 17.4721i | −1.35713 | + | 0.986009i | ||||
\(315\) | −0.656197 | − | 4.77159i | −0.0369725 | − | 0.268849i | ||||
\(316\) | −0.875059 | + | 2.69315i | −0.0492259 | + | 0.151502i | ||||
\(317\) | −1.63874 | + | 15.5916i | −0.0920408 | + | 0.875710i | 0.846928 | + | 0.531707i | \(0.178449\pi\) |
−0.938969 | + | 0.344002i | \(0.888217\pi\) | |||||||
\(318\) | 17.5480 | + | 37.7778i | 0.984043 | + | 2.11847i | ||||
\(319\) | −22.7352 | − | 3.05690i | −1.27293 | − | 0.171154i | ||||
\(320\) | −4.00390 | + | 6.93497i | −0.223825 | + | 0.387676i | ||||
\(321\) | −13.3059 | − | 11.6013i | −0.742666 | − | 0.647523i | ||||
\(322\) | 10.7842 | − | 2.29226i | 0.600983 | − | 0.127743i | ||||
\(323\) | 4.30333 | + | 13.2443i | 0.239444 | + | 0.736932i | ||||
\(324\) | 6.47963 | − | 25.3477i | 0.359979 | − | 1.40821i | ||||
\(325\) | 0.421044 | − | 0.305906i | 0.0233553 | − | 0.0169686i | ||||
\(326\) | 23.1918 | − | 25.7571i | 1.28447 | − | 1.42655i | ||||
\(327\) | −1.20361 | + | 2.82390i | −0.0665599 | + | 0.156162i | ||||
\(328\) | −15.3986 | + | 6.85588i | −0.850243 | + | 0.378552i | ||||
\(329\) | 8.16570 | − | 14.1434i | 0.450189 | − | 0.779751i | ||||
\(330\) | 7.76868 | − | 1.54631i | 0.427652 | − | 0.0851217i | ||||
\(331\) | −9.89830 | − | 17.1444i | −0.544060 | − | 0.942339i | −0.998665 | − | 0.0516463i | \(-0.983553\pi\) |
0.454606 | − | 0.890693i | \(-0.349780\pi\) | |||||||
\(332\) | −14.5793 | − | 10.5924i | −0.800140 | − | 0.581336i | ||||
\(333\) | −14.1851 | + | 26.4888i | −0.777341 | + | 1.45158i | ||||
\(334\) | 6.36477 | + | 19.5888i | 0.348265 | + | 1.07185i | ||||
\(335\) | 1.89463 | + | 0.843544i | 0.103515 | + | 0.0460877i | ||||
\(336\) | −0.0972824 | − | 6.09016i | −0.00530719 | − | 0.332246i | ||||
\(337\) | 8.79482 | + | 1.86940i | 0.479084 | + | 0.101833i | 0.441123 | − | 0.897447i | \(-0.354580\pi\) |
0.0379614 | + | 0.999279i | \(0.487914\pi\) | |||||||
\(338\) | −19.2502 | − | 21.3795i | −1.04707 | − | 1.16289i | ||||
\(339\) | 27.7698 | − | 9.51592i | 1.50825 | − | 0.516834i | ||||
\(340\) | −2.14548 | − | 3.71608i | −0.116355 | − | 0.201533i | ||||
\(341\) | 28.2966 | + | 17.4476i | 1.53235 | + | 0.944841i | ||||
\(342\) | 13.2391 | + | 36.7122i | 0.715890 | + | 1.98517i | ||||
\(343\) | 15.3317 | + | 11.1392i | 0.827836 | + | 0.601458i | ||||
\(344\) | 4.21436 | − | 0.895790i | 0.227223 | − | 0.0482978i | ||||
\(345\) | −1.52369 | + | 1.41665i | −0.0820325 | + | 0.0762697i | ||||
\(346\) | 3.12069 | + | 29.6914i | 0.167769 | + | 1.59622i | ||||
\(347\) | −1.87126 | − | 17.8038i | −0.100454 | − | 0.955760i | −0.922411 | − | 0.386210i | \(-0.873784\pi\) |
0.821957 | − | 0.569550i | \(-0.192883\pi\) | |||||||
\(348\) | 7.78374 | + | 33.9444i | 0.417252 | + | 1.81961i | ||||
\(349\) | 4.49343 | − | 0.955109i | 0.240528 | − | 0.0511258i | −0.0860702 | − | 0.996289i | \(-0.527431\pi\) |
0.326598 | + | 0.945163i | \(0.394098\pi\) | |||||||
\(350\) | 21.3203 | + | 15.4901i | 1.13962 | + | 0.827982i | ||||
\(351\) | 0.416407 | − | 0.412724i | 0.0222262 | − | 0.0220296i | ||||
\(352\) | 23.2769 | − | 1.76741i | 1.24066 | − | 0.0942034i | ||||
\(353\) | −3.76892 | − | 6.52796i | −0.200599 | − | 0.347448i | 0.748122 | − | 0.663561i | \(-0.230956\pi\) |
−0.948722 | + | 0.316112i | \(0.897622\pi\) | |||||||
\(354\) | 7.29609 | + | 6.36139i | 0.387783 | + | 0.338104i | ||||
\(355\) | −2.40664 | − | 2.67285i | −0.127731 | − | 0.141860i | ||||
\(356\) | 11.2279 | + | 2.38656i | 0.595076 | + | 0.126487i | ||||
\(357\) | 9.25775 | + | 5.14959i | 0.489972 | + | 0.272545i | ||||
\(358\) | 41.0864 | + | 18.2928i | 2.17148 | + | 0.966806i | ||||
\(359\) | −8.11167 | − | 24.9652i | −0.428118 | − | 1.31761i | −0.899977 | − | 0.435937i | \(-0.856417\pi\) |
0.471860 | − | 0.881674i | \(-0.343583\pi\) | |||||||
\(360\) | −1.97875 | − | 3.18763i | −0.104289 | − | 0.168003i | ||||
\(361\) | −12.5295 | − | 9.10321i | −0.659447 | − | 0.479116i | ||||
\(362\) | 6.45317 | + | 11.1772i | 0.339171 | + | 0.587461i | ||||
\(363\) | −13.6124 | − | 13.3305i | −0.714465 | − | 0.699671i | ||||
\(364\) | −0.422993 | + | 0.732645i | −0.0221708 | + | 0.0384010i | ||||
\(365\) | −3.33945 | + | 1.48682i | −0.174795 | + | 0.0778237i | ||||
\(366\) | 3.92517 | + | 5.22496i | 0.205172 | + | 0.273113i | ||||
\(367\) | 18.5205 | − | 20.5691i | 0.966764 | − | 1.07370i | −0.0304823 | − | 0.999535i | \(-0.509704\pi\) |
0.997246 | − | 0.0741645i | \(-0.0236290\pi\) | |||||||
\(368\) | −2.12853 | + | 1.54647i | −0.110957 | + | 0.0806151i | ||||
\(369\) | −1.83006 | + | 25.1024i | −0.0952693 | + | 1.30678i | ||||
\(370\) | 4.26778 | + | 13.1349i | 0.221871 | + | 0.682850i | ||||
\(371\) | −27.3898 | + | 5.82188i | −1.42201 | + | 0.302257i | ||||
\(372\) | 9.70298 | − | 49.5258i | 0.503076 | − | 2.56779i | ||||
\(373\) | −4.55954 | + | 7.89736i | −0.236084 | + | 0.408910i | −0.959587 | − | 0.281412i | \(-0.909197\pi\) |
0.723503 | + | 0.690321i | \(0.242531\pi\) | |||||||
\(374\) | −7.54363 | + | 15.7040i | −0.390072 | + | 0.812036i | ||||
\(375\) | −10.3230 | − | 0.918552i | −0.533077 | − | 0.0474338i | ||||
\(376\) | 1.32976 | − | 12.6518i | 0.0685769 | − | 0.652466i | ||||
\(377\) | −0.241160 | + | 0.742216i | −0.0124204 | + | 0.0382261i | ||||
\(378\) | 26.3920 | + | 13.5954i | 1.35746 | + | 0.699272i | ||||
\(379\) | −0.986636 | + | 0.716833i | −0.0506801 | + | 0.0368213i | −0.612837 | − | 0.790209i | \(-0.709972\pi\) |
0.562157 | + | 0.827031i | \(0.309972\pi\) | |||||||
\(380\) | 9.70782 | + | 4.32220i | 0.498001 | + | 0.221724i | ||||
\(381\) | −3.88017 | − | 16.9212i | −0.198787 | − | 0.866898i | ||||
\(382\) | −6.39955 | − | 7.10742i | −0.327429 | − | 0.363647i | ||||
\(383\) | −35.4211 | + | 15.7705i | −1.80993 | + | 0.805834i | −0.849356 | + | 0.527820i | \(0.823009\pi\) |
−0.960577 | + | 0.278014i | \(0.910324\pi\) | |||||||
\(384\) | −10.5220 | − | 22.6520i | −0.536948 | − | 1.15595i | ||||
\(385\) | −0.154055 | + | 5.32261i | −0.00785136 | + | 0.271266i | ||||
\(386\) | 55.8223 | 2.84128 | ||||||||
\(387\) | 1.79161 | − | 6.17896i | 0.0910727 | − | 0.314094i | ||||
\(388\) | 0.295391 | − | 0.909120i | 0.0149962 | − | 0.0461536i | ||||
\(389\) | 2.58152 | − | 2.86707i | 0.130888 | − | 0.145366i | −0.674138 | − | 0.738606i | \(-0.735485\pi\) |
0.805026 | + | 0.593239i | \(0.202151\pi\) | |||||||
\(390\) | −0.00430396 | − | 0.269441i | −0.000217940 | − | 0.0136437i | ||||
\(391\) | −0.478316 | − | 4.55088i | −0.0241895 | − | 0.230148i | ||||
\(392\) | 0.683039 | + | 0.145184i | 0.0344987 | + | 0.00733292i | ||||
\(393\) | −4.74605 | − | 6.31766i | −0.239406 | − | 0.318684i | ||||
\(394\) | −0.271809 | + | 2.58609i | −0.0136935 | + | 0.130285i | ||||
\(395\) | 0.606364 | 0.0305095 | ||||||||
\(396\) | −11.6849 | + | 26.4587i | −0.587189 | + | 1.32960i | ||||
\(397\) | 9.83791 | 0.493751 | 0.246875 | − | 0.969047i | \(-0.420596\pi\) | ||||
0.246875 | + | 0.969047i | \(0.420596\pi\) | |||||||
\(398\) | 0.426985 | − | 4.06249i | 0.0214028 | − | 0.203634i | ||||
\(399\) | −26.0441 | + | 3.15867i | −1.30384 | + | 0.158131i | ||||
\(400\) | −6.15144 | − | 1.30753i | −0.307572 | − | 0.0653764i | ||||
\(401\) | 0.160897 | + | 1.53083i | 0.00803480 | + | 0.0764460i | 0.997804 | − | 0.0662282i | \(-0.0210965\pi\) |
−0.989770 | + | 0.142674i | \(0.954430\pi\) | |||||||
\(402\) | −10.9671 | + | 6.56764i | −0.546991 | + | 0.327564i | ||||
\(403\) | 0.756745 | − | 0.840450i | 0.0376961 | − | 0.0418658i | ||||
\(404\) | −11.8641 | + | 36.5139i | −0.590260 | + | 1.81663i | ||||
\(405\) | −5.59082 | + | 0.357681i | −0.277810 | + | 0.0177733i | ||||
\(406\) | −39.5176 | −1.96123 | ||||||||
\(407\) | 20.2951 | − | 26.2987i | 1.00599 | − | 1.30358i | ||||
\(408\) | 8.21949 | + | 0.731380i | 0.406925 | + | 0.0362087i | ||||
\(409\) | 11.6773 | − | 5.19906i | 0.577404 | − | 0.257077i | −0.0971897 | − | 0.995266i | \(-0.530985\pi\) |
0.674594 | + | 0.738189i | \(0.264319\pi\) | |||||||
\(410\) | 7.74076 | + | 8.59698i | 0.382289 | + | 0.424575i | ||||
\(411\) | 1.26334 | − | 1.17459i | 0.0623160 | − | 0.0579383i | ||||
\(412\) | 3.84451 | + | 1.71169i | 0.189406 | + | 0.0843288i | ||||
\(413\) | −5.26442 | + | 3.82483i | −0.259045 | + | 0.188207i | ||||
\(414\) | −1.74711 | − | 12.7042i | −0.0858656 | − | 0.624379i | ||||
\(415\) | −1.19244 | + | 3.66997i | −0.0585348 | + | 0.180152i | ||||
\(416\) | 0.0830123 | − | 0.789810i | 0.00407001 | − | 0.0387236i | ||||
\(417\) | 12.6371 | − | 17.9909i | 0.618841 | − | 0.881017i | ||||
\(418\) | −7.74568 | − | 42.4443i | −0.378853 | − | 2.07602i | ||||
\(419\) | −13.5524 | + | 23.4734i | −0.662076 | + | 1.14675i | 0.317993 | + | 0.948093i | \(0.396991\pi\) |
−0.980069 | + | 0.198657i | \(0.936342\pi\) | |||||||
\(420\) | 7.64723 | − | 2.62049i | 0.373146 | − | 0.127867i | ||||
\(421\) | −3.08929 | + | 0.656650i | −0.150563 | + | 0.0320032i | −0.282577 | − | 0.959245i | \(-0.591189\pi\) |
0.132014 | + | 0.991248i | \(0.457856\pi\) | |||||||
\(422\) | −9.88369 | − | 30.4189i | −0.481131 | − | 1.48077i | ||||
\(423\) | −15.7166 | − | 10.6688i | −0.764166 | − | 0.518736i | ||||
\(424\) | −17.6464 | + | 12.8208i | −0.856984 | + | 0.622635i | ||||
\(425\) | 7.31884 | − | 8.12840i | 0.355016 | − | 0.394285i | ||||
\(426\) | 22.0079 | − | 2.66915i | 1.06628 | − | 0.129321i | ||||
\(427\) | −4.01332 | + | 1.78684i | −0.194218 | + | 0.0864715i | ||||
\(428\) | 14.8142 | − | 25.6589i | 0.716070 | − | 1.24027i | ||||
\(429\) | −0.529273 | + | 0.374154i | −0.0255536 | + | 0.0180643i | ||||
\(430\) | −1.47850 | − | 2.56083i | −0.0712994 | − | 0.123494i | ||||
\(431\) | 6.44677 | + | 4.68385i | 0.310530 | + | 0.225613i | 0.732124 | − | 0.681171i | \(-0.238529\pi\) |
−0.421594 | + | 0.906785i | \(0.638529\pi\) | |||||||
\(432\) | −7.07317 | − | 0.402208i | −0.340308 | − | 0.0193513i | ||||
\(433\) | −3.78138 | − | 11.6379i | −0.181722 | − | 0.559282i | 0.818155 | − | 0.574998i | \(-0.194997\pi\) |
−0.999876 | + | 0.0157162i | \(0.994997\pi\) | |||||||
\(434\) | 52.3161 | + | 23.2926i | 2.51125 | + | 1.11808i | ||||
\(435\) | 6.39772 | − | 3.83126i | 0.306747 | − | 0.183695i | ||||
\(436\) | −5.03944 | − | 1.07117i | −0.241345 | − | 0.0512996i | ||||
\(437\) | 7.58278 | + | 8.42153i | 0.362734 | + | 0.402857i | ||||
\(438\) | 4.33199 | − | 22.1113i | 0.206990 | − | 1.05652i | ||||
\(439\) | 4.00984 | + | 6.94524i | 0.191379 | + | 0.331478i | 0.945707 | − | 0.325019i | \(-0.105371\pi\) |
−0.754328 | + | 0.656497i | \(0.772037\pi\) | |||||||
\(440\) | 1.57674 | + | 3.83645i | 0.0751681 | + | 0.182896i | ||||
\(441\) | 0.672596 | − | 0.796764i | 0.0320284 | − | 0.0379411i | ||||
\(442\) | 0.479499 | + | 0.348376i | 0.0228074 | + | 0.0165706i | ||||
\(443\) | 7.56618 | − | 1.60824i | 0.359480 | − | 0.0764098i | −0.0246314 | − | 0.999697i | \(-0.507841\pi\) |
0.384111 | + | 0.923287i | \(0.374508\pi\) | |||||||
\(444\) | −48.2052 | − | 14.8159i | −2.28772 | − | 0.703132i | ||||
\(445\) | −0.256925 | − | 2.44447i | −0.0121794 | − | 0.115879i | ||||
\(446\) | 3.49262 | + | 33.2301i | 0.165380 | + | 1.57349i | ||||
\(447\) | −2.34751 | − | 0.721508i | −0.111033 | − | 0.0341262i | ||||
\(448\) | 32.4555 | − | 6.89863i | 1.53338 | − | 0.325930i | ||||
\(449\) | 15.9090 | + | 11.5586i | 0.750793 | + | 0.545483i | 0.896073 | − | 0.443908i | \(-0.146408\pi\) |
−0.145280 | + | 0.989391i | \(0.546408\pi\) | |||||||
\(450\) | 19.7726 | − | 23.4228i | 0.932088 | − | 1.10416i | ||||
\(451\) | 6.57024 | − | 27.0386i | 0.309381 | − | 1.27320i | ||||
\(452\) | 24.6339 | + | 42.6671i | 1.15868 | + | 2.00689i | ||||
\(453\) | 6.10950 | − | 31.1840i | 0.287049 | − | 1.46515i | ||||
\(454\) | −6.48906 | − | 7.20683i | −0.304547 | − | 0.338234i | ||||
\(455\) | 0.177193 | + | 0.0376634i | 0.00830691 | + | 0.00176569i | ||||
\(456\) | −17.5326 | + | 10.4993i | −0.821039 | + | 0.491676i | ||||
\(457\) | −32.4214 | − | 14.4349i | −1.51661 | − | 0.675238i | −0.531484 | − | 0.847069i | \(-0.678365\pi\) |
−0.985127 | + | 0.171830i | \(0.945032\pi\) | |||||||
\(458\) | 8.93146 | + | 27.4882i | 0.417340 | + | 1.28444i | ||||
\(459\) | 6.75678 | − | 10.3040i | 0.315380 | − | 0.480950i | ||||
\(460\) | −2.82493 | − | 2.05243i | −0.131713 | − | 0.0956952i | ||||
\(461\) | −9.45037 | − | 16.3685i | −0.440147 | − | 0.762358i | 0.557553 | − | 0.830142i | \(-0.311740\pi\) |
−0.997700 | + | 0.0677839i | \(0.978407\pi\) | |||||||
\(462\) | −26.3006 | − | 19.6344i | −1.22361 | − | 0.913474i | ||||
\(463\) | 0.525465 | − | 0.910131i | 0.0244204 | − | 0.0422974i | −0.853557 | − | 0.521000i | \(-0.825559\pi\) |
0.877977 | + | 0.478702i | \(0.158893\pi\) | |||||||
\(464\) | 8.61503 | − | 3.83566i | 0.399943 | − | 0.178066i | ||||
\(465\) | −10.7280 | + | 1.30111i | −0.497498 | + | 0.0603373i | ||||
\(466\) | −22.2856 | + | 24.7507i | −1.03236 | + | 1.14655i | ||||
\(467\) | 6.40101 | − | 4.65060i | 0.296203 | − | 0.215204i | −0.429751 | − | 0.902948i | \(-0.641399\pi\) |
0.725954 | + | 0.687743i | \(0.241399\pi\) | |||||||
\(468\) | 0.814137 | + | 0.552658i | 0.0376335 | + | 0.0255466i | ||||
\(469\) | −2.65550 | − | 8.17280i | −0.122620 | − | 0.377385i | ||||
\(470\) | −8.54013 | + | 1.81526i | −0.393927 | + | 0.0837318i | ||||
\(471\) | −21.9873 | + | 7.53443i | −1.01312 | + | 0.347168i | ||||
\(472\) | −2.53441 | + | 4.38973i | −0.116656 | + | 0.202054i | ||||
\(473\) | −3.07967 | + | 6.41113i | −0.141603 | + | 0.294784i | ||||
\(474\) | −2.14827 | + | 3.05840i | −0.0986734 | + | 0.140477i | ||||
\(475\) | −2.83141 | + | 26.9391i | −0.129914 | + | 1.23605i | ||||
\(476\) | −5.49423 | + | 16.9095i | −0.251828 | + | 0.775046i | ||||
\(477\) | 4.43729 | + | 32.2661i | 0.203170 | + | 1.47736i | ||||
\(478\) | −15.5203 | + | 11.2761i | −0.709881 | + | 0.515759i | ||||
\(479\) | 7.64491 | + | 3.40373i | 0.349305 | + | 0.155521i | 0.573887 | − | 0.818935i | \(-0.305435\pi\) |
−0.224582 | + | 0.974455i | \(0.572102\pi\) | |||||||
\(480\) | −5.55757 | + | 5.16715i | −0.253667 | + | 0.235847i | ||||
\(481\) | −0.756195 | − | 0.839840i | −0.0344795 | − | 0.0382934i | ||||
\(482\) | −60.4173 | + | 26.8995i | −2.75193 | + | 1.22524i | ||||
\(483\) | 8.58671 | + | 0.764055i | 0.390709 | + | 0.0347657i | ||||
\(484\) | 17.5633 | − | 26.7216i | 0.798333 | − | 1.21462i | ||||
\(485\) | −0.204688 | −0.00929442 | ||||||||
\(486\) | 18.0035 | − | 29.4664i | 0.816656 | − | 1.33662i | ||||
\(487\) | −5.92414 | + | 18.2326i | −0.268448 | + | 0.826199i | 0.722430 | + | 0.691444i | \(0.243025\pi\) |
−0.990879 | + | 0.134756i | \(0.956975\pi\) | |||||||
\(488\) | −2.28980 | + | 2.54308i | −0.103655 | + | 0.115120i | ||||
\(489\) | 23.2503 | − | 13.9234i | 1.05141 | − | 0.629636i | ||||
\(490\) | −0.0500955 | − | 0.476627i | −0.00226308 | − | 0.0215318i | ||||
\(491\) | −7.48653 | − | 1.59131i | −0.337862 | − | 0.0718149i | 0.0358564 | − | 0.999357i | \(-0.488584\pi\) |
−0.373719 | + | 0.927542i | \(0.621917\pi\) | |||||||
\(492\) | −41.9350 | + | 5.08595i | −1.89058 | + | 0.229292i | ||||
\(493\) | −1.71443 | + | 16.3117i | −0.0772141 | + | 0.734643i | ||||
\(494\) | −1.46780 | −0.0660395 | ||||||||
\(495\) | 6.16151 | + | 0.628860i | 0.276939 | + | 0.0282652i | ||||
\(496\) | −13.6660 | −0.613621 | ||||||||
\(497\) | −1.55778 | + | 14.8213i | −0.0698759 | + | 0.664825i | ||||
\(498\) | −14.2860 | − | 19.0167i | −0.640172 | − | 0.852160i | ||||
\(499\) | −6.71568 | − | 1.42746i | −0.300635 | − | 0.0639020i | 0.0551245 | − | 0.998479i | \(-0.482444\pi\) |
−0.355759 | + | 0.934578i | \(0.615778\pi\) | |||||||
\(500\) | −1.81817 | − | 17.2987i | −0.0813110 | − | 0.773622i | ||||
\(501\) | 0.257220 | + | 16.1027i | 0.0114917 | + | 0.719415i | ||||
\(502\) | −25.6769 | + | 28.5170i | −1.14601 | + | 1.27278i | ||||
\(503\) | 4.45375 | − | 13.7072i | 0.198583 | − | 0.611176i | −0.801333 | − | 0.598218i | \(-0.795875\pi\) |
0.999916 | − | 0.0129571i | \(-0.00412450\pi\) | |||||||
\(504\) | −4.32927 | + | 14.9309i | −0.192841 | + | 0.665076i | ||||
\(505\) | 8.22111 | 0.365834 | ||||||||
\(506\) | −0.410166 | + | 14.1713i | −0.0182341 | + | 0.629991i | ||||
\(507\) | −9.47643 | − | 20.4011i | −0.420863 | − | 0.906045i | ||||
\(508\) | 26.6177 | − | 11.8509i | 1.18097 | − | 0.525801i | ||||
\(509\) | −13.9374 | − | 15.4790i | −0.617763 | − | 0.686095i | 0.350348 | − | 0.936620i | \(-0.386063\pi\) |
−0.968110 | + | 0.250525i | \(0.919397\pi\) | |||||||
\(510\) | −1.26582 | − | 5.52017i | −0.0560516 | − | 0.244437i | ||||
\(511\) | 13.8371 | + | 6.16068i | 0.612118 | + | 0.272532i | ||||
\(512\) | −12.1960 | + | 8.86088i | −0.538990 | + | 0.391599i | ||||
\(513\) | 1.46162 | + | 30.4798i | 0.0645322 | + | 1.34572i | ||||
\(514\) | −8.10432 | + | 24.9425i | −0.357466 | + | 1.10017i | ||||
\(515\) | 0.0941942 | − | 0.896198i | 0.00415069 | − | 0.0394912i | ||||
\(516\) | 10.7551 | + | 0.956998i | 0.473465 | + | 0.0421295i | ||||
\(517\) | 15.1933 | + | 14.4977i | 0.668202 | + | 0.637608i | ||||
\(518\) | 28.6128 | − | 49.5588i | 1.25717 | − | 2.17749i | ||||
\(519\) | −4.48812 | + | 22.9082i | −0.197007 | + | 1.00556i | ||||
\(520\) | 0.138026 | − | 0.0293382i | 0.00605282 | − | 0.00128657i | ||||
\(521\) | −8.81678 | − | 27.1353i | −0.386270 | − | 1.18882i | −0.935555 | − | 0.353182i | \(-0.885100\pi\) |
0.549284 | − | 0.835636i | \(-0.314900\pi\) | |||||||
\(522\) | −3.34211 | + | 45.8427i | −0.146280 | + | 2.00648i | ||||
\(523\) | 14.1901 | − | 10.3097i | 0.620488 | − | 0.450811i | −0.232604 | − | 0.972572i | \(-0.574725\pi\) |
0.853092 | + | 0.521761i | \(0.174725\pi\) | |||||||
\(524\) | 8.87393 | − | 9.85549i | 0.387659 | − | 0.430539i | ||||
\(525\) | 12.3765 | + | 16.4749i | 0.540155 | + | 0.719023i | ||||
\(526\) | −32.0132 | + | 14.2532i | −1.39584 | + | 0.621470i | ||||
\(527\) | 11.8842 | − | 20.5841i | 0.517684 | − | 0.896656i | ||||
\(528\) | 7.63941 | + | 1.72760i | 0.332463 | + | 0.0751843i | ||||
\(529\) | 9.63814 | + | 16.6938i | 0.419050 | + | 0.725815i | ||||
\(530\) | 12.1110 | + | 8.79913i | 0.526067 | + | 0.382210i | ||||
\(531\) | 3.99179 | + | 6.43051i | 0.173229 | + | 0.279060i | ||||
\(532\) | −13.6064 | − | 41.8763i | −0.589914 | − | 1.81557i | ||||
\(533\) | −0.864781 | − | 0.385025i | −0.0374578 | − | 0.0166773i | ||||
\(534\) | 13.2398 | + | 7.36458i | 0.572941 | + | 0.318697i | ||||
\(535\) | −6.20569 | − | 1.31906i | −0.268295 | − | 0.0570279i | ||||
\(536\) | −4.47909 | − | 4.97453i | −0.193467 | − | 0.214867i | ||||
\(537\) | 26.5058 | + | 23.1101i | 1.14381 | + | 0.997276i | ||||
\(538\) | −1.06345 | − | 1.84195i | −0.0458485 | − | 0.0794119i | ||||
\(539\) | −0.878614 | + | 0.746230i | −0.0378446 | + | 0.0321424i | ||||
\(540\) | −2.39317 | − | 9.09285i | −0.102986 | − | 0.391294i | ||||
\(541\) | 14.1955 | + | 10.3136i | 0.610310 | + | 0.443417i | 0.849524 | − | 0.527551i | \(-0.176889\pi\) |
−0.239213 | + | 0.970967i | \(0.576889\pi\) | |||||||
\(542\) | −60.9299 | + | 12.9511i | −2.61716 | + | 0.556295i | ||||
\(543\) | 2.25553 | + | 9.83622i | 0.0967942 | + | 0.422113i | ||||
\(544\) | −1.74463 | − | 16.5991i | −0.0748006 | − | 0.711680i | ||||
\(545\) | 0.115316 | + | 1.09716i | 0.00493961 | + | 0.0469972i | ||||
\(546\) | −0.817739 | + | 0.760293i | −0.0349960 | + | 0.0325375i | ||||
\(547\) | 14.7145 | − | 3.12766i | 0.629147 | − | 0.133729i | 0.117707 | − | 0.993048i | \(-0.462446\pi\) |
0.511440 | + | 0.859319i | \(0.329112\pi\) | |||||||
\(548\) | 2.34225 | + | 1.70174i | 0.100056 | + | 0.0726948i | ||||
\(549\) | 1.73343 | + | 4.80680i | 0.0739808 | + | 0.205149i | ||||
\(550\) | −25.8290 | + | 21.9372i | −1.10135 | + | 0.935407i | ||||
\(551\) | −20.3092 | − | 35.1766i | −0.865201 | − | 1.49857i | ||||
\(552\) | 6.35249 | − | 2.17682i | 0.270380 | − | 0.0926516i | ||||
\(553\) | −1.68118 | − | 1.86714i | −0.0714911 | − | 0.0793989i | ||||
\(554\) | 2.29582 | + | 0.487991i | 0.0975399 | + | 0.0207327i | ||||
\(555\) | 0.172474 | + | 10.7974i | 0.00732111 | + | 0.458323i | ||||
\(556\) | 33.7093 | + | 15.0084i | 1.42959 | + | 0.636496i | ||||
\(557\) | −8.38497 | − | 25.8063i | −0.355283 | − | 1.09345i | −0.955845 | − | 0.293870i | \(-0.905057\pi\) |
0.600563 | − | 0.799578i | \(-0.294943\pi\) | |||||||
\(558\) | 31.4453 | − | 58.7198i | 1.33119 | − | 2.48581i | ||||
\(559\) | 0.195754 | + | 0.142224i | 0.00827952 | + | 0.00601543i | ||||
\(560\) | −1.09449 | − | 1.89572i | −0.0462509 | − | 0.0801088i | ||||
\(561\) | −9.24554 | + | 10.0043i | −0.390347 | + | 0.422382i | ||||
\(562\) | 26.2425 | − | 45.4533i | 1.10697 | − | 1.91733i | ||||
\(563\) | 13.9321 | − | 6.20297i | 0.587168 | − | 0.261424i | −0.0915770 | − | 0.995798i | \(-0.529191\pi\) |
0.678745 | + | 0.734374i | \(0.262524\pi\) | |||||||
\(564\) | 12.5004 | − | 29.3284i | 0.526364 | − | 1.23495i | ||||
\(565\) | 7.05914 | − | 7.83997i | 0.296980 | − | 0.329830i | ||||
\(566\) | −14.3946 | + | 10.4583i | −0.605051 | + | 0.439595i | ||||
\(567\) | 16.6023 | + | 16.2238i | 0.697230 | + | 0.681335i | ||||
\(568\) | 3.58730 | + | 11.0406i | 0.150520 | + | 0.463252i | ||||
\(569\) | 16.3495 | − | 3.47519i | 0.685407 | − | 0.145688i | 0.147970 | − | 0.988992i | \(-0.452726\pi\) |
0.537437 | + | 0.843304i | \(0.319393\pi\) | |||||||
\(570\) | 10.5715 | + | 9.21720i | 0.442792 | + | 0.386066i | ||||
\(571\) | −10.4277 | + | 18.0614i | −0.436388 | + | 0.755845i | −0.997408 | − | 0.0719567i | \(-0.977076\pi\) |
0.561020 | + | 0.827802i | \(0.310409\pi\) | |||||||
\(572\) | −0.787032 | − | 0.750998i | −0.0329074 | − | 0.0314008i | ||||
\(573\) | −3.15035 | − | 6.78214i | −0.131608 | − | 0.283328i | ||||
\(574\) | 5.01046 | − | 47.6713i | 0.209132 | − | 1.98976i | ||||
\(575\) | 2.75049 | − | 8.46513i | 0.114703 | − | 0.353020i | ||||
\(576\) | −5.25796 | − | 38.2337i | −0.219082 | − | 1.59307i | ||||
\(577\) | −30.7715 | + | 22.3568i | −1.28103 | + | 0.930726i | −0.999584 | − | 0.0288491i | \(-0.990816\pi\) |
−0.281451 | + | 0.959576i | \(0.590816\pi\) | |||||||
\(578\) | −23.0227 | − | 10.2504i | −0.957619 | − | 0.426359i | ||||
\(579\) | 41.7216 | + | 12.8232i | 1.73389 | + | 0.532912i | ||||
\(580\) | 8.37464 | + | 9.30098i | 0.347738 | + | 0.386202i | ||||
\(581\) | 14.6068 | − | 6.50338i | 0.605994 | − | 0.269806i | ||||
\(582\) | 0.725185 | − | 1.03241i | 0.0300599 | − | 0.0427950i | ||||
\(583\) | 1.04174 | − | 35.9922i | 0.0431444 | − | 1.49064i | ||||
\(584\) | 11.7986 | 0.488228 | ||||||||
\(585\) | 0.0586774 | − | 0.202368i | 0.00242601 | − | 0.00836690i | ||||
\(586\) | 3.05532 | − | 9.40332i | 0.126214 | − | 0.388448i | ||||
\(587\) | −14.1409 | + | 15.7050i | −0.583656 | + | 0.648216i | −0.960572 | − | 0.278032i | \(-0.910318\pi\) |
0.376916 | + | 0.926247i | \(0.376985\pi\) | |||||||
\(588\) | 1.52933 | + | 0.850686i | 0.0630686 | + | 0.0350817i | ||||
\(589\) | 6.15279 | + | 58.5399i | 0.253521 | + | 2.41209i | ||||
\(590\) | 3.40278 | + | 0.723284i | 0.140090 | + | 0.0297771i | ||||
\(591\) | −0.797210 | + | 1.87040i | −0.0327928 | + | 0.0769381i | ||||
\(592\) | −1.42745 | + | 13.5813i | −0.0586678 | + | 0.558186i | ||||
\(593\) | −24.5617 | −1.00863 | −0.504314 | − | 0.863521i | \(-0.668254\pi\) | ||||
−0.504314 | + | 0.863521i | \(0.668254\pi\) | |||||||
\(594\) | −25.0014 | + | 28.8497i | −1.02582 | + | 1.18372i | ||||
\(595\) | 3.80718 | 0.156079 | ||||||||
\(596\) | 0.430848 | − | 4.09924i | 0.0176482 | − | 0.167911i | ||||
\(597\) | 1.25234 | − | 2.93822i | 0.0512548 | − | 0.120253i | ||||
\(598\) | 0.471770 | + | 0.100278i | 0.0192921 | + | 0.00410066i | ||||
\(599\) | 1.51653 | + | 14.4288i | 0.0619636 | + | 0.589544i | 0.980815 | + | 0.194941i | \(0.0624514\pi\) |
−0.918851 | + | 0.394604i | \(0.870882\pi\) | |||||||
\(600\) | 14.0270 | + | 7.80249i | 0.572652 | + | 0.318535i | ||||
\(601\) | 4.64840 | − | 5.16257i | 0.189612 | − | 0.210585i | −0.640842 | − | 0.767673i | \(-0.721415\pi\) |
0.830454 | + | 0.557088i | \(0.188081\pi\) | |||||||
\(602\) | −3.78619 | + | 11.6527i | −0.154314 | + | 0.474929i | ||||
\(603\) | −9.70551 | + | 2.38934i | −0.395239 | + | 0.0973016i | ||||
\(604\) | 53.3325 | 2.17007 | ||||||||
\(605\) | −6.60402 | − | 1.80861i | −0.268492 | − | 0.0735303i | ||||
\(606\) | −29.1264 | + | 41.4659i | −1.18318 | + | 1.68444i | ||||
\(607\) | −18.8304 | + | 8.38382i | −0.764301 | + | 0.340289i | −0.751590 | − | 0.659630i | \(-0.770713\pi\) |
−0.0127110 | + | 0.999919i | \(0.504046\pi\) | |||||||
\(608\) | 27.6578 | + | 30.7171i | 1.12167 | + | 1.24574i | ||||
\(609\) | −29.5354 | − | 9.07774i | −1.19684 | − | 0.367849i | ||||
\(610\) | 2.14556 | + | 0.955265i | 0.0868712 | + | 0.0386775i | ||||
\(611\) | 0.577991 | − | 0.419935i | 0.0233830 | − | 0.0169888i | ||||
\(612\) | 19.1514 | + | 7.80371i | 0.774148 | + | 0.315446i | ||||
\(613\) | 8.47934 | − | 26.0967i | 0.342477 | − | 1.05404i | −0.620443 | − | 0.784252i | \(-0.713047\pi\) |
0.962920 | − | 0.269786i | \(-0.0869528\pi\) | |||||||
\(614\) | 6.92236 | − | 65.8619i | 0.279364 | − | 2.65797i | ||||
\(615\) | 3.81059 | + | 8.20354i | 0.153658 | + | 0.330799i | ||||
\(616\) | 7.44175 | − | 15.4920i | 0.299837 | − | 0.624189i | ||||
\(617\) | −13.7091 | + | 23.7449i | −0.551908 | + | 0.955932i | 0.446229 | + | 0.894919i | \(0.352767\pi\) |
−0.998137 | + | 0.0610136i | \(0.980567\pi\) | |||||||
\(618\) | 4.18656 | + | 3.65022i | 0.168408 | + | 0.146833i | ||||
\(619\) | 0.570091 | − | 0.121177i | 0.0229139 | − | 0.00487050i | −0.196440 | − | 0.980516i | \(-0.562938\pi\) |
0.219354 | + | 0.975645i | \(0.429605\pi\) | |||||||
\(620\) | −5.60470 | − | 17.2495i | −0.225090 | − | 0.692756i | ||||
\(621\) | 1.61255 | − | 9.89646i | 0.0647094 | − | 0.397131i | ||||
\(622\) | −18.1548 | + | 13.1902i | −0.727942 | + | 0.528881i | ||||
\(623\) | −6.81478 | + | 7.56859i | −0.273029 | + | 0.303229i | ||||
\(624\) | 0.104476 | − | 0.245119i | 0.00418237 | − | 0.00981261i | ||||
\(625\) | 17.6662 | − | 7.86550i | 0.706648 | − | 0.314620i | ||||
\(626\) | 12.8516 | − | 22.2596i | 0.513652 | − | 0.889671i | ||||
\(627\) | 3.96093 | − | 33.5021i | 0.158184 | − | 1.33795i | ||||
\(628\) | −19.5044 | − | 33.7826i | −0.778309 | − | 1.34807i | ||||
\(629\) | −19.2151 | − | 13.9606i | −0.766156 | − | 0.556645i | ||||
\(630\) | 10.6639 | − | 0.340772i | 0.424861 | − | 0.0135767i | ||||
\(631\) | 12.9463 | + | 39.8447i | 0.515385 | + | 1.58619i | 0.782580 | + | 0.622550i | \(0.213903\pi\) |
−0.267194 | + | 0.963643i | \(0.586097\pi\) | |||||||
\(632\) | −1.78792 | − | 0.796032i | −0.0711195 | − | 0.0316645i | ||||
\(633\) | −0.399430 | − | 25.0055i | −0.0158759 | − | 0.993878i | ||||
\(634\) | −33.9693 | − | 7.22040i | −1.34909 | − | 0.286759i | ||||
\(635\) | −4.17474 | − | 4.63651i | −0.165669 | − | 0.183994i | ||||
\(636\) | −51.7115 | + | 17.7201i | −2.05050 | + | 0.702647i | ||||
\(637\) | 0.0196082 | + | 0.0339624i | 0.000776905 | + | 0.00134564i | ||||
\(638\) | 11.9988 | − | 49.3786i | 0.475036 | − | 1.95492i | ||||
\(639\) | 17.0618 | + | 3.06059i | 0.674954 | + | 0.121075i | ||||
\(640\) | −7.26187 | − | 5.27606i | −0.287051 | − | 0.208555i | ||||
\(641\) | 4.09532 | − | 0.870488i | 0.161756 | − | 0.0343822i | −0.126322 | − | 0.991989i | \(-0.540317\pi\) |
0.288078 | + | 0.957607i | \(0.406984\pi\) | |||||||
\(642\) | 28.6391 | − | 26.6272i | 1.13030 | − | 1.05089i | ||||
\(643\) | −2.86089 | − | 27.2195i | −0.112822 | − | 1.07343i | −0.893674 | − | 0.448716i | \(-0.851881\pi\) |
0.780852 | − | 0.624716i | \(-0.214785\pi\) | |||||||
\(644\) | 1.51236 | + | 14.3891i | 0.0595953 | + | 0.567011i | ||||
\(645\) | −0.516769 | − | 2.25359i | −0.0203478 | − | 0.0887352i | ||||
\(646\) | −30.1740 | + | 6.41369i | −1.18718 | + | 0.252343i | ||||
\(647\) | −19.7848 | − | 14.3745i | −0.777820 | − | 0.565119i | 0.126504 | − | 0.991966i | \(-0.459624\pi\) |
−0.904324 | + | 0.426847i | \(0.859624\pi\) | |||||||
\(648\) | 16.9546 | + | 6.28496i | 0.666040 | + | 0.246897i | ||||
\(649\) | −3.18081 | − | 7.73941i | −0.124858 | − | 0.303799i | ||||
\(650\) | 0.576430 | + | 0.998406i | 0.0226094 | + | 0.0391607i | ||||
\(651\) | 33.7504 | + | 29.4266i | 1.32278 | + | 1.15332i | ||||
\(652\) | 30.4347 | + | 33.8011i | 1.19191 | + | 1.32376i | ||||
\(653\) | 25.2101 | + | 5.35858i | 0.986549 | + | 0.209697i | 0.672813 | − | 0.739813i | \(-0.265086\pi\) |
0.313736 | + | 0.949510i | \(0.398419\pi\) | |||||||
\(654\) | −5.94245 | − | 3.30547i | −0.232368 | − | 0.129254i | ||||
\(655\) | −2.59426 | − | 1.15504i | −0.101366 | − | 0.0451311i | ||||
\(656\) | 3.53477 | + | 10.8789i | 0.138010 | + | 0.424750i | ||||
\(657\) | 8.31699 | − | 15.5308i | 0.324477 | − | 0.605916i | ||||
\(658\) | 29.2677 | + | 21.2642i | 1.14097 | + | 0.828965i | ||||
\(659\) | 10.3211 | + | 17.8767i | 0.402053 | + | 0.696375i | 0.993974 | − | 0.109621i | \(-0.0349636\pi\) |
−0.591921 | + | 0.805996i | \(0.701630\pi\) | |||||||
\(660\) | 0.952461 | + | 10.3511i | 0.0370745 | + | 0.402918i | ||||
\(661\) | 6.00967 | − | 10.4091i | 0.233749 | − | 0.404865i | −0.725159 | − | 0.688581i | \(-0.758234\pi\) |
0.958908 | + | 0.283716i | \(0.0915672\pi\) | |||||||
\(662\) | 40.0616 | − | 17.8366i | 1.55704 | − | 0.693237i | ||||
\(663\) | 0.278350 | + | 0.370524i | 0.0108102 | + | 0.0143900i | ||||
\(664\) | 8.33395 | − | 9.25579i | 0.323420 | − | 0.359194i | ||||
\(665\) | −7.62777 | + | 5.54190i | −0.295792 | + | 0.214906i | ||||
\(666\) | −55.0712 | − | 37.3838i | −2.13397 | − | 1.44859i | ||||
\(667\) | 4.12443 | + | 12.6937i | 0.159699 | + | 0.491501i | ||||
\(668\) | −26.4387 | + | 5.61971i | −1.02294 | + | 0.217433i | ||||
\(669\) | −5.02302 | + | 25.6384i | −0.194201 | + | 0.991239i | ||||
\(670\) | −2.29706 | + | 3.97862i | −0.0887430 | + | 0.153707i | ||||
\(671\) | −1.01416 | − | 5.55732i | −0.0391511 | − | 0.214538i | ||||
\(672\) | 31.3196 | + | 2.78685i | 1.20818 | + | 0.107505i | ||||
\(673\) | −0.268015 | + | 2.54999i | −0.0103312 | + | 0.0982949i | −0.998472 | − | 0.0552533i | \(-0.982403\pi\) |
0.988141 | + | 0.153548i | \(0.0490700\pi\) | |||||||
\(674\) | −6.15477 | + | 18.9424i | −0.237073 | + | 0.729636i | ||||
\(675\) | 20.1585 | − | 12.9641i | 0.775903 | − | 0.498990i | ||||
\(676\) | 30.5434 | − | 22.1911i | 1.17475 | − | 0.853503i | ||||
\(677\) | 20.0186 | + | 8.91283i | 0.769375 | + | 0.342548i | 0.753605 | − | 0.657328i | \(-0.228313\pi\) |
0.0157705 | + | 0.999876i | \(0.494980\pi\) | |||||||
\(678\) | 14.5339 | + | 63.3812i | 0.558170 | + | 2.43414i | ||||
\(679\) | 0.567511 | + | 0.630284i | 0.0217791 | + | 0.0241881i | ||||
\(680\) | 2.70924 | − | 1.20623i | 0.103895 | − | 0.0462568i | ||||
\(681\) | −3.19441 | − | 6.87701i | −0.122410 | − | 0.263528i | ||||
\(682\) | −44.9897 | + | 58.2985i | −1.72275 | + | 2.23236i | ||||
\(683\) | 25.4426 | 0.973533 | 0.486767 | − | 0.873532i | \(-0.338176\pi\) | ||||
0.486767 | + | 0.873532i | \(0.338176\pi\) | |||||||
\(684\) | −49.7297 | + | 12.2427i | −1.90146 | + | 0.468110i | ||||
\(685\) | 0.191574 | − | 0.589603i | 0.00731965 | − | 0.0225276i | ||||
\(686\) | −28.0900 | + | 31.1971i | −1.07248 | + | 1.19111i | ||||
\(687\) | 0.360947 | + | 22.5963i | 0.0137710 | + | 0.862105i | ||||
\(688\) | −0.305626 | − | 2.90784i | −0.0116519 | − | 0.110860i | ||||
\(689\) | −1.19820 | − | 0.254685i | −0.0456477 | − | 0.00970272i | ||||
\(690\) | −2.76812 | − | 3.68475i | −0.105380 | − | 0.140276i | ||||
\(691\) | 4.40388 | − | 41.9002i | 0.167532 | − | 1.59396i | −0.511128 | − | 0.859504i | \(-0.670772\pi\) |
0.678660 | − | 0.734453i | \(-0.262561\pi\) | |||||||
\(692\) | −39.1788 | −1.48935 | ||||||||
\(693\) | −15.1468 | − | 20.7163i | −0.575378 | − | 0.786949i | ||||
\(694\) | 39.6558 | 1.50531 | ||||||||
\(695\) | 0.825910 | − | 7.85801i | 0.0313286 | − | 0.298071i | ||||
\(696\) | −23.8939 | + | 2.89789i | −0.905697 | + | 0.109844i | ||||
\(697\) | −19.4600 | − | 4.13634i | −0.737099 | − | 0.156675i | ||||
\(698\) | 1.06369 | + | 10.1203i | 0.0402613 | + | 0.383061i | ||||
\(699\) | −22.3418 | + | 13.3793i | −0.845045 | + | 0.506053i | ||||
\(700\) | −23.1410 | + | 25.7007i | −0.874648 | + | 0.971394i | ||||
\(701\) | 9.26060 | − | 28.5012i | 0.349768 | − | 1.07648i | −0.609213 | − | 0.793006i | \(-0.708515\pi\) |
0.958981 | − | 0.283469i | \(-0.0914853\pi\) | |||||||
\(702\) | 0.812826 | + | 1.01293i | 0.0306781 | + | 0.0382304i | ||||
\(703\) | 58.8196 | 2.21842 | ||||||||
\(704\) | −1.23441 | + | 42.6489i | −0.0465235 | + | 1.60739i | ||||
\(705\) | −6.79988 | − | 0.605061i | −0.256098 | − | 0.0227879i | ||||
\(706\) | 15.2540 | − | 6.79153i | 0.574093 | − | 0.255603i | ||||
\(707\) | −22.7935 | − | 25.3148i | −0.857238 | − | 0.952060i | ||||
\(708\) | −9.30318 | + | 8.64963i | −0.349635 | + | 0.325073i | ||||
\(709\) | −4.60518 | − | 2.05036i | −0.172951 | − | 0.0770028i | 0.318435 | − | 0.947945i | \(-0.396843\pi\) |
−0.491386 | + | 0.870942i | \(0.663509\pi\) | |||||||
\(710\) | 6.44564 | − | 4.68303i | 0.241900 | − | 0.175751i | ||||
\(711\) | −2.30817 | + | 1.79236i | −0.0865633 | + | 0.0672187i | ||||
\(712\) | −2.45153 | + | 7.54504i | −0.0918751 | + | 0.282762i | ||||
\(713\) | 2.02176 | − | 19.2358i | 0.0757157 | − | 0.720387i | ||||
\(714\) | −13.4884 | + | 19.2028i | −0.504789 | + | 0.718646i | ||||
\(715\) | −0.100863 | + | 0.209973i | −0.00377206 | + | 0.00785253i | ||||
\(716\) | −29.5102 | + | 51.1132i | −1.10285 | + | 1.91019i | ||||
\(717\) | −14.1901 | + | 4.86256i | −0.529940 | + | 0.181596i | ||||
\(718\) | 56.8774 | − | 12.0897i | 2.12264 | − | 0.451182i | ||||
\(719\) | 11.3285 | + | 34.8655i | 0.422481 | + | 1.30026i | 0.905386 | + | 0.424590i | \(0.139582\pi\) |
−0.482905 | + | 0.875673i | \(0.660418\pi\) | |||||||
\(720\) | −2.29171 | + | 1.10935i | −0.0854070 | + | 0.0413431i | ||||
\(721\) | −3.02077 | + | 2.19472i | −0.112499 | + | 0.0817355i | ||||
\(722\) | 22.9559 | − | 25.4951i | 0.854329 | − | 0.948829i | ||||
\(723\) | −51.3350 | + | 6.22599i | −1.90917 | + | 0.231547i | ||||
\(724\) | −15.4728 | + | 6.88892i | −0.575041 | + | 0.256025i | ||||
\(725\) | −15.9515 | + | 27.6289i | −0.592425 | + | 1.02611i | ||||
\(726\) | 32.5195 | − | 26.9019i | 1.20691 | − | 0.998424i | ||||
\(727\) | 4.53305 | + | 7.85147i | 0.168121 | + | 0.291195i | 0.937759 | − | 0.347286i | \(-0.112897\pi\) |
−0.769638 | + | 0.638481i | \(0.779563\pi\) | |||||||
\(728\) | −0.473024 | − | 0.343672i | −0.0175314 | − | 0.0127373i | ||||
\(729\) | 20.2247 | − | 17.8875i | 0.749061 | − | 0.662501i | ||||
\(730\) | −2.50227 | − | 7.70120i | −0.0926133 | − | 0.285034i | ||||
\(731\) | 4.64564 | + | 2.06837i | 0.171825 | + | 0.0765015i | ||||
\(732\) | −7.35761 | + | 4.40608i | −0.271945 | + | 0.162854i | ||||
\(733\) | −20.2677 | − | 4.30803i | −0.748603 | − | 0.159121i | −0.182215 | − | 0.983259i | \(-0.558327\pi\) |
−0.566389 | + | 0.824138i | \(0.691660\pi\) | |||||||
\(734\) | 41.0261 | + | 45.5641i | 1.51430 | + | 1.68180i | ||||
\(735\) | 0.0720464 | − | 0.367738i | 0.00265747 | − | 0.0135642i | ||||
\(736\) | −6.79103 | − | 11.7624i | −0.250321 | − | 0.433568i | ||||
\(737\) | 11.0185 | − | 0.836632i | 0.405871 | − | 0.0308177i | ||||
\(738\) | −54.8778 | − | 9.84412i | −2.02008 | − | 0.362367i | ||||
\(739\) | −31.4946 | − | 22.8822i | −1.15855 | − | 0.841734i | −0.168954 | − | 0.985624i | \(-0.554039\pi\) |
−0.989594 | + | 0.143890i | \(0.954039\pi\) | |||||||
\(740\) | −17.7280 | + | 3.76820i | −0.651693 | + | 0.138522i | ||||
\(741\) | −1.09703 | − | 0.337174i | −0.0403005 | − | 0.0123864i | ||||
\(742\) | −6.48374 | − | 61.6887i | −0.238026 | − | 2.26466i | ||||
\(743\) | −2.08063 | − | 19.7959i | −0.0763310 | − | 0.726241i | −0.964026 | − | 0.265809i | \(-0.914361\pi\) |
0.887695 | − | 0.460432i | \(-0.152306\pi\) | |||||||
\(744\) | 33.3405 | + | 10.2472i | 1.22232 | + | 0.375682i | ||||
\(745\) | −0.863320 | + | 0.183504i | −0.0316296 | + | 0.00672308i | ||||
\(746\) | −16.3424 | − | 11.8734i | −0.598338 | − | 0.434718i | ||||
\(747\) | −6.30896 | − | 17.4948i | −0.230833 | − | 0.640101i | ||||
\(748\) | −19.4608 | − | 11.9995i | −0.711558 | − | 0.438745i | ||||
\(749\) | 13.1439 | + | 22.7660i | 0.480269 | + | 0.831851i | ||||
\(750\) | 4.41388 | − | 22.5292i | 0.161172 | − | 0.822652i | ||||
\(751\) | 13.0564 | + | 14.5005i | 0.476433 | + | 0.529132i | 0.932672 | − | 0.360725i | \(-0.117471\pi\) |
−0.456239 | + | 0.889857i | \(0.650804\pi\) | |||||||
\(752\) | −8.44444 | − | 1.79492i | −0.307937 | − | 0.0654540i | ||||
\(753\) | −25.7416 | + | 15.4153i | −0.938077 | + | 0.561764i | ||||
\(754\) | −1.57929 | − | 0.703144i | −0.0575142 | − | 0.0256070i | ||||
\(755\) | −3.52901 | − | 10.8612i | −0.128434 | − | 0.395279i | ||||
\(756\) | −21.3639 | + | 32.5796i | −0.776996 | + | 1.18491i | ||||
\(757\) | −7.39118 | − | 5.37001i | −0.268637 | − | 0.195176i | 0.445309 | − | 0.895377i | \(-0.353094\pi\) |
−0.713946 | + | 0.700201i | \(0.753094\pi\) | |||||||
\(758\) | −1.35075 | − | 2.33958i | −0.0490616 | − | 0.0849772i | ||||
\(759\) | −3.56190 | + | 10.4974i | −0.129289 | + | 0.381032i | ||||
\(760\) | −3.67218 | + | 6.36040i | −0.133204 | + | 0.230716i | ||||
\(761\) | −44.0583 | + | 19.6160i | −1.59711 | + | 0.711081i | −0.996106 | − | 0.0881627i | \(-0.971900\pi\) |
−0.601007 | + | 0.799243i | \(0.705234\pi\) | |||||||
\(762\) | 38.1764 | − | 4.63009i | 1.38298 | − | 0.167731i | ||||
\(763\) | 3.05870 | − | 3.39703i | 0.110732 | − | 0.122981i | ||||
\(764\) | 10.1539 | − | 7.37721i | 0.367353 | − | 0.266898i | ||||
\(765\) | 0.321983 | − | 4.41655i | 0.0116413 | − | 0.159681i | ||||
\(766\) | −26.5412 | − | 81.6855i | −0.958974 | − | 2.95142i | ||||
\(767\) | −0.278444 | + | 0.0591851i | −0.0100540 | + | 0.00213705i | ||||
\(768\) | 10.1820 | − | 3.48907i | 0.367410 | − | 0.125901i | ||||
\(769\) | 12.4766 | − | 21.6102i | 0.449919 | − | 0.779283i | −0.548461 | − | 0.836176i | \(-0.684786\pi\) |
0.998380 | + | 0.0568934i | \(0.0181195\pi\) | |||||||
\(770\) | −11.6902 | − | 1.57183i | −0.421287 | − | 0.0566448i | ||||
\(771\) | −11.7868 | + | 16.7804i | −0.424491 | + | 0.604330i | ||||
\(772\) | −7.65733 | + | 72.8546i | −0.275593 | + | 2.62209i | ||||
\(773\) | −9.24874 | + | 28.4647i | −0.332654 | + | 1.02380i | 0.635212 | + | 0.772338i | \(0.280913\pi\) |
−0.967866 | + | 0.251466i | \(0.919087\pi\) | |||||||
\(774\) | 13.1976 | + | 5.37771i | 0.474378 | + | 0.193298i | ||||
\(775\) | 37.4028 | − | 27.1747i | 1.34355 | − | 0.976146i | ||||
\(776\) | 0.603542 | + | 0.268714i | 0.0216659 | + | 0.00964627i | ||||
\(777\) | 32.7695 | − | 30.4674i | 1.17560 | − | 1.09301i | ||||
\(778\) | 5.71851 | + | 6.35105i | 0.205019 | + | 0.227696i | ||||
\(779\) | 45.0096 | − | 20.0396i | 1.61264 | − | 0.717992i | ||||
\(780\) | 0.352242 | + | 0.0313429i | 0.0126123 | + | 0.00112225i | ||||
\(781\) | −18.0467 | − | 6.44669i | −0.645762 | − | 0.230681i | ||||
\(782\) | 10.1365 | 0.362480 | ||||||||
\(783\) | −13.0286 | + | 33.4951i | −0.465604 | + | 1.19702i | ||||
\(784\) | 0.146438 | − | 0.450689i | 0.00522992 | − | 0.0160960i | ||||
\(785\) | −5.58922 | + | 6.20746i | −0.199488 | + | 0.221554i | ||||
\(786\) | 15.0170 | − | 8.99286i | 0.535637 | − | 0.320765i | ||||
\(787\) | 2.31006 | + | 21.9788i | 0.0823449 | + | 0.783459i | 0.955296 | + | 0.295651i | \(0.0955366\pi\) |
−0.872951 | + | 0.487808i | \(0.837797\pi\) | |||||||
\(788\) | −3.33786 | − | 0.709484i | −0.118906 | − | 0.0252743i | ||||
\(789\) | −27.2008 | + | 3.29896i | −0.968375 | + | 0.117446i | ||||
\(790\) | −0.140403 | + | 1.33584i | −0.00499530 | + | 0.0475271i | ||||
\(791\) | −43.7130 | −1.55426 | ||||||||
\(792\) | −17.3422 | − | 9.94307i | −0.616229 | − | 0.353311i | ||||
\(793\) | −0.192182 | −0.00682460 | ||||||||
\(794\) | −2.27795 | + | 21.6733i | −0.0808415 | + | 0.769156i | ||||
\(795\) | 7.03044 | + | 9.35852i | 0.249344 | + | 0.331912i | ||||
\(796\) | 5.24346 | + | 1.11453i | 0.185849 | + | 0.0395035i | ||||
\(797\) | −5.25388 | − | 49.9873i | −0.186102 | − | 1.77064i | −0.546130 | − | 0.837701i | \(-0.683899\pi\) |
0.360028 | − | 0.932942i | \(-0.382767\pi\) | |||||||
\(798\) | −0.928191 | − | 58.1075i | −0.0328576 | − | 2.05698i | ||||
\(799\) | 10.0470 | − | 11.1583i | 0.355437 | − | 0.394753i | ||||
\(800\) | 10.0323 | − | 30.8761i | 0.354694 | − | 1.09164i | ||||
\(801\) | 8.20366 | + | 8.54564i | 0.289862 | + | 0.301946i | ||||
\(802\) | −3.40973 | −0.120402 | ||||||||
\(803\) | −11.8994 | + | 15.4194i | −0.419919 | + | 0.544138i | ||||
\(804\) | −7.06713 | − | 15.2143i | −0.249238 | − | 0.536567i | ||||
\(805\) | 2.83028 | − | 1.26012i | 0.0997541 | − | 0.0444134i | ||||
\(806\) | 1.67632 | + | 1.86174i | 0.0590458 | + | 0.0655770i | ||||
\(807\) | −0.371700 | − | 1.62096i | −0.0130845 | − | 0.0570604i | ||||
\(808\) | −24.2407 | − | 10.7926i | −0.852784 | − | 0.379684i | ||||
\(809\) | 7.71415 | − | 5.60466i | 0.271215 | − | 0.197049i | −0.443861 | − | 0.896095i | \(-0.646392\pi\) |
0.715077 | + | 0.699046i | \(0.246392\pi\) | |||||||
\(810\) | 0.506562 | − | 12.3996i | 0.0177988 | − | 0.435678i | ||||
\(811\) | −8.92565 | + | 27.4703i | −0.313422 | + | 0.964613i | 0.662977 | + | 0.748640i | \(0.269293\pi\) |
−0.976399 | + | 0.215974i | \(0.930707\pi\) | |||||||
\(812\) | 5.42076 | − | 51.5751i | 0.190231 | − | 1.80993i | ||||
\(813\) | −48.5140 | − | 4.31683i | −1.70146 | − | 0.151398i | ||||
\(814\) | 53.2377 | + | 50.8002i | 1.86598 | + | 1.78055i | ||||
\(815\) | 4.86975 | − | 8.43465i | 0.170580 | − | 0.295453i | ||||
\(816\) | 1.07667 | − | 5.49550i | 0.0376909 | − | 0.192381i | ||||
\(817\) | −12.3185 | + | 2.61837i | −0.430969 | + | 0.0916053i | ||||
\(818\) | 8.74986 | + | 26.9293i | 0.305932 | + | 0.941561i | ||||
\(819\) | −0.785828 | + | 0.380397i | −0.0274590 | + | 0.0132921i | ||||
\(820\) | −12.2819 | + | 8.92331i | −0.428902 | + | 0.311616i | ||||
\(821\) | 10.6870 | − | 11.8691i | 0.372980 | − | 0.414236i | −0.527209 | − | 0.849736i | \(-0.676762\pi\) |
0.900189 | + | 0.435500i | \(0.143428\pi\) | |||||||
\(822\) | 2.29514 | + | 3.05516i | 0.0800522 | + | 0.106561i | ||||
\(823\) | 21.7674 | − | 9.69148i | 0.758765 | − | 0.337824i | 0.00937767 | − | 0.999956i | \(-0.497015\pi\) |
0.749387 | + | 0.662132i | \(0.230348\pi\) | |||||||
\(824\) | −1.45427 | + | 2.51886i | −0.0506617 | + | 0.0877487i | ||||
\(825\) | −24.3438 | + | 10.4626i | −0.847544 | + | 0.364261i | ||||
\(826\) | −7.20726 | − | 12.4833i | −0.250773 | − | 0.434351i | ||||
\(827\) | 21.9309 | + | 15.9337i | 0.762611 | + | 0.554070i | 0.899710 | − | 0.436488i | \(-0.143778\pi\) |
−0.137099 | + | 0.990557i | \(0.543778\pi\) | |||||||
\(828\) | 16.8201 | − | 0.537497i | 0.584540 | − | 0.0186793i | ||||
\(829\) | −8.88489 | − | 27.3449i | −0.308585 | − | 0.949727i | −0.978315 | − | 0.207122i | \(-0.933590\pi\) |
0.669730 | − | 0.742605i | \(-0.266410\pi\) | |||||||
\(830\) | −7.80896 | − | 3.47677i | −0.271053 | − | 0.120681i | ||||
\(831\) | 1.60379 | + | 0.892104i | 0.0556350 | + | 0.0309468i | ||||
\(832\) | 1.41980 | + | 0.301789i | 0.0492229 | + | 0.0104626i | ||||
\(833\) | 0.551493 | + | 0.612496i | 0.0191081 | + | 0.0212217i | ||||
\(834\) | 36.7084 | + | 32.0057i | 1.27111 | + | 1.10827i | ||||
\(835\) | 2.89390 | + | 5.01238i | 0.100148 | + | 0.173461i | ||||
\(836\) | 56.4572 | − | 4.28679i | 1.95261 | − | 0.148262i | ||||
\(837\) | 36.9910 | − | 36.6637i | 1.27859 | − | 1.26728i | ||||
\(838\) | −48.5747 | − | 35.2916i | −1.67798 | − | 1.21913i | ||||
\(839\) | −16.2138 | + | 3.44635i | −0.559763 | + | 0.118981i | −0.479100 | − | 0.877760i | \(-0.659037\pi\) |
−0.0806628 | + | 0.996741i | \(0.525704\pi\) | |||||||
\(840\) | 1.24873 | + | 5.44562i | 0.0430852 | + | 0.187892i | ||||
\(841\) | −1.96926 | − | 18.7363i | −0.0679056 | − | 0.646079i | ||||
\(842\) | −0.731302 | − | 6.95787i | −0.0252023 | − | 0.239784i | ||||
\(843\) | 30.0549 | − | 27.9435i | 1.03514 | − | 0.962426i | ||||
\(844\) | 41.0559 | − | 8.72671i | 1.41320 | − | 0.300386i | ||||
\(845\) | −6.54027 | − | 4.75178i | −0.224992 | − | 0.163466i | ||||
\(846\) | 27.1430 | − | 32.1538i | 0.933194 | − | 1.10547i | ||||
\(847\) | 12.7409 | + | 25.3498i | 0.437783 | + | 0.871030i | ||||
\(848\) | 7.40111 | + | 12.8191i | 0.254155 | + | 0.440210i | ||||
\(849\) | −13.1609 | + | 4.50989i | −0.451683 | + | 0.154779i | ||||
\(850\) | 16.2125 | + | 18.0058i | 0.556083 | + | 0.617593i | ||||
\(851\) | −18.9054 | − | 4.01846i | −0.648067 | − | 0.137751i | ||||
\(852\) | 0.464658 | + | 29.0889i | 0.0159189 | + | 0.996571i | ||||
\(853\) | −45.8496 | − | 20.4135i | −1.56986 | − | 0.698947i | −0.576836 | − | 0.816860i | \(-0.695713\pi\) |
−0.993024 | + | 0.117914i | \(0.962379\pi\) | |||||||
\(854\) | −3.00720 | − | 9.25522i | −0.102904 | − | 0.316707i | ||||
\(855\) | 5.78383 | + | 9.31736i | 0.197803 | + | 0.318647i | ||||
\(856\) | 16.5664 | + | 12.0362i | 0.566227 | + | 0.411388i | ||||
\(857\) | 15.1504 | + | 26.2413i | 0.517529 | + | 0.896387i | 0.999793 | + | 0.0203605i | \(0.00648140\pi\) |
−0.482264 | + | 0.876026i | \(0.660185\pi\) | |||||||
\(858\) | −0.701722 | − | 1.25264i | −0.0239564 | − | 0.0427645i | ||||
\(859\) | −15.7661 | + | 27.3077i | −0.537932 | + | 0.931725i | 0.461083 | + | 0.887357i | \(0.347461\pi\) |
−0.999015 | + | 0.0443684i | \(0.985872\pi\) | |||||||
\(860\) | 3.54499 | − | 1.57833i | 0.120883 | − | 0.0538207i | ||||
\(861\) | 14.6956 | − | 34.4785i | 0.500824 | − | 1.17503i | ||||
\(862\) | −11.8114 | + | 13.1179i | −0.402299 | + | 0.446798i | ||||
\(863\) | 6.44611 | − | 4.68337i | 0.219428 | − | 0.159424i | −0.472641 | − | 0.881255i | \(-0.656699\pi\) |
0.692069 | + | 0.721831i | \(0.256699\pi\) | |||||||
\(864\) | 5.88169 | − | 36.0969i | 0.200099 | − | 1.22804i | ||||
\(865\) | 2.59246 | + | 7.97876i | 0.0881462 | + | 0.271286i | ||||
\(866\) | 26.5143 | − | 5.63578i | 0.900992 | − | 0.191512i | ||||
\(867\) | −14.8525 | − | 12.9498i | −0.504418 | − | 0.439797i | ||||
\(868\) | −37.5760 | + | 65.0835i | −1.27541 | + | 2.20908i | ||||
\(869\) | 2.84352 | − | 1.53377i | 0.0964596 | − | 0.0520297i | ||||
\(870\) | 6.95901 | + | 14.9815i | 0.235933 | + | 0.507921i | ||||
\(871\) | 0.0392952 | − | 0.373869i | 0.00133147 | − | 0.0126681i | ||||
\(872\) | 1.10033 | − | 3.38647i | 0.0372619 | − | 0.114680i | ||||
\(873\) | 0.779163 | − | 0.605041i | 0.0263707 | − | 0.0204775i | ||||
\(874\) | −20.3087 | + | 14.7551i | −0.686953 | + | 0.499100i | ||||
\(875\) | 14.0987 | + | 6.27713i | 0.476622 | + | 0.212206i | ||||
\(876\) | 28.2635 | + | 8.68682i | 0.954937 | + | 0.293501i | ||||
\(877\) | 14.9748 | + | 16.6312i | 0.505663 | + | 0.561596i | 0.940884 | − | 0.338728i | \(-0.109997\pi\) |
−0.435221 | + | 0.900323i | \(0.643330\pi\) | |||||||
\(878\) | −16.2291 | + | 7.22565i | −0.547705 | + | 0.243854i | ||||
\(879\) | 4.44362 | − | 6.32619i | 0.149880 | − | 0.213377i | ||||
\(880\) | 2.70109 | − | 0.792011i | 0.0910538 | − | 0.0266987i | ||||
\(881\) | 0.173710 | 0.00585243 | 0.00292622 | − | 0.999996i | \(-0.499069\pi\) | ||||
0.00292622 | + | 0.999996i | \(0.499069\pi\) | |||||||
\(882\) | 1.59956 | + | 1.66624i | 0.0538600 | + | 0.0561053i | ||||
\(883\) | 3.41118 | − | 10.4985i | 0.114796 | − | 0.353304i | −0.877109 | − | 0.480292i | \(-0.840531\pi\) |
0.991904 | + | 0.126987i | \(0.0405308\pi\) | |||||||
\(884\) | −0.520446 | + | 0.578014i | −0.0175045 | + | 0.0194407i | ||||
\(885\) | 2.37709 | + | 1.32225i | 0.0799050 | + | 0.0444469i | ||||
\(886\) | 1.79108 | + | 17.0409i | 0.0601723 | + | 0.572502i | ||||
\(887\) | 35.1380 | + | 7.46882i | 1.17982 | + | 0.250779i | 0.755756 | − | 0.654854i | \(-0.227270\pi\) |
0.424064 | + | 0.905632i | \(0.360603\pi\) | |||||||
\(888\) | 13.6662 | − | 32.0634i | 0.458607 | − | 1.07598i | ||||
\(889\) | −2.70223 | + | 25.7100i | −0.0906300 | + | 0.862287i | ||||
\(890\) | 5.44475 | 0.182509 | ||||||||
\(891\) | −25.3132 | + | 15.8191i | −0.848023 | + | 0.529959i | ||||
\(892\) | −43.8482 | −1.46815 | ||||||||
\(893\) | −3.88684 | + | 36.9809i | −0.130068 | + | 1.23752i | ||||
\(894\) | 2.13307 | − | 5.00458i | 0.0713405 | − | 0.167378i | ||||
\(895\) | 12.3619 | + | 2.62760i | 0.413212 | + | 0.0878310i | ||||
\(896\) | 3.88773 | + | 36.9892i | 0.129880 | + | 1.23572i | ||||
\(897\) | 0.329565 | + | 0.183320i | 0.0110039 | + | 0.00612086i | ||||
\(898\) | −29.1477 | + | 32.3718i | −0.972670 | + | 1.08026i | ||||
\(899\) | −21.4232 | + | 65.9337i | −0.714502 | + | 2.19901i | ||||
\(900\) | 27.8572 | + | 29.0185i | 0.928573 | + | 0.967283i | ||||
\(901\) | −25.7446 | −0.857677 | ||||||||
\(902\) | 58.0457 | + | 20.7352i | 1.93271 | + | 0.690407i | ||||
\(903\) | −5.50659 | + | 7.83948i | −0.183248 | + | 0.260882i | ||||
\(904\) | −31.1068 | + | 13.8496i | −1.03460 | + | 0.460632i | ||||
\(905\) | 2.42676 | + | 2.69519i | 0.0806682 | + | 0.0895911i | ||||
\(906\) | 67.2848 | + | 20.6801i | 2.23539 | + | 0.687049i | ||||
\(907\) | 40.7077 | + | 18.1243i | 1.35168 | + | 0.601806i | 0.949503 | − | 0.313757i | \(-0.101588\pi\) |
0.402175 | + | 0.915563i | \(0.368254\pi\) | |||||||
\(908\) | 10.2959 | − | 7.48040i | 0.341681 | − | 0.248246i | ||||
\(909\) | −31.2943 | + | 24.3009i | −1.03797 | + | 0.806009i | ||||
\(910\) | −0.124003 | + | 0.381640i | −0.00411064 | + | 0.0126513i | ||||
\(911\) | 4.10233 | − | 39.0311i | 0.135916 | − | 1.29316i | −0.687694 | − | 0.726001i | \(-0.741377\pi\) |
0.823610 | − | 0.567157i | \(-0.191957\pi\) | |||||||
\(912\) | 5.84238 | + | 12.5776i | 0.193461 | + | 0.416487i | ||||
\(913\) | 3.69112 | + | 20.2264i | 0.122158 | + | 0.669396i | ||||
\(914\) | 39.3078 | − | 68.0831i | 1.30019 | − | 2.25199i | ||||
\(915\) | 1.38415 | + | 1.20683i | 0.0457587 | + | 0.0398965i | ||||
\(916\) | −37.1005 | + | 7.88595i | −1.22583 | + | 0.260559i | ||||
\(917\) | 3.63610 | + | 11.1908i | 0.120075 | + | 0.369552i | ||||
\(918\) | 21.1356 | + | 17.2713i | 0.697578 | + | 0.570038i | ||||
\(919\) | −18.1448 | + | 13.1829i | −0.598541 | + | 0.434865i | −0.845361 | − | 0.534196i | \(-0.820614\pi\) |
0.246820 | + | 0.969061i | \(0.420614\pi\) | |||||||
\(920\) | 1.61482 | − | 1.79344i | 0.0532390 | − | 0.0591279i | ||||
\(921\) | 20.3031 | − | 47.6349i | 0.669011 | − | 1.56962i | ||||
\(922\) | 38.2486 | − | 17.0294i | 1.25965 | − | 0.560833i | ||||
\(923\) | −0.325973 | + | 0.564601i | −0.0107295 | + | 0.0185841i | ||||
\(924\) | 29.2329 | − | 31.6320i | 0.961692 | − | 1.04062i | ||||
\(925\) | −23.0994 | − | 40.0094i | −0.759505 | − | 1.31550i | ||||
\(926\) | 1.88338 | + | 1.36836i | 0.0618917 | + | 0.0449670i | ||||
\(927\) | 2.29052 | + | 3.68988i | 0.0752307 | + | 0.121192i | ||||
\(928\) | 15.0436 | + | 46.2996i | 0.493832 | + | 1.51986i | ||||
\(929\) | −23.2134 | − | 10.3353i | −0.761607 | − | 0.339089i | −0.0110883 | − | 0.999939i | \(-0.503530\pi\) |
−0.750519 | + | 0.660849i | \(0.770196\pi\) | |||||||
\(930\) | −0.382336 | − | 23.9354i | −0.0125373 | − | 0.784872i | ||||
\(931\) | −1.99651 | − | 0.424371i | −0.0654329 | − | 0.0139082i | ||||
\(932\) | −29.2455 | − | 32.4804i | −0.957969 | − | 1.06393i | ||||
\(933\) | −16.5989 | + | 5.68797i | −0.543423 | + | 0.186216i | ||||
\(934\) | 8.76330 | + | 15.1785i | 0.286744 | + | 0.496655i | ||||
\(935\) | −1.15598 | + | 4.75720i | −0.0378044 | + | 0.155577i | ||||
\(936\) | −0.438684 | + | 0.519670i | −0.0143388 | + | 0.0169859i | ||||
\(937\) | 2.05077 | + | 1.48997i | 0.0669958 | + | 0.0486753i | 0.620779 | − | 0.783986i | \(-0.286816\pi\) |
−0.553783 | + | 0.832661i | \(0.686816\pi\) | |||||||
\(938\) | 18.6198 | − | 3.95777i | 0.607959 | − | 0.129226i | ||||
\(939\) | 14.7186 | − | 13.6846i | 0.480323 | − | 0.446580i | ||||
\(940\) | −1.19765 | − | 11.3949i | −0.0390630 | − | 0.371660i | ||||
\(941\) | −0.410902 | − | 3.90947i | −0.0133950 | − | 0.127445i | 0.985781 | − | 0.168036i | \(-0.0537426\pi\) |
−0.999176 | + | 0.0405911i | \(0.987076\pi\) | |||||||
\(942\) | −11.5075 | − | 50.1834i | −0.374934 | − | 1.63506i | ||||
\(943\) | −15.8357 | + | 3.36599i | −0.515682 | + | 0.109612i | ||||
\(944\) | 2.78287 | + | 2.02188i | 0.0905748 | + | 0.0658065i | ||||
\(945\) | 8.04849 | + | 2.19496i | 0.261817 | + | 0.0714020i | ||||
\(946\) | −13.4109 | − | 8.26910i | −0.436025 | − | 0.268852i | ||||
\(947\) | −3.79709 | − | 6.57676i | −0.123389 | − | 0.213716i | 0.797713 | − | 0.603037i | \(-0.206043\pi\) |
−0.921102 | + | 0.389321i | \(0.872710\pi\) | |||||||
\(948\) | −3.69688 | − | 3.22327i | −0.120069 | − | 0.104687i | ||||
\(949\) | 0.443370 | + | 0.492412i | 0.0143924 | + | 0.0159844i | ||||
\(950\) | −58.6922 | − | 12.4754i | −1.90423 | − | 0.404756i | ||||
\(951\) | −23.7300 | − | 13.1997i | −0.769499 | − | 0.428031i | ||||
\(952\) | −11.2258 | − | 4.99805i | −0.363830 | − | 0.161988i | ||||
\(953\) | 17.4306 | + | 53.6457i | 0.564631 | + | 1.73776i | 0.669045 | + | 0.743222i | \(0.266703\pi\) |
−0.104414 | + | 0.994534i | \(0.533297\pi\) | |||||||
\(954\) | −72.1108 | + | 2.30434i | −2.33467 | + | 0.0746058i | ||||
\(955\) | −2.17425 | − | 1.57968i | −0.0703570 | − | 0.0511174i | ||||
\(956\) | −12.5877 | − | 21.8026i | −0.407116 | − | 0.705145i | ||||
\(957\) | 20.3108 | − | 34.1493i | 0.656556 | − | 1.10389i | ||||
\(958\) | −9.26871 | + | 16.0539i | −0.299459 | + | 0.518677i | ||||
\(959\) | −2.34668 | + | 1.04481i | −0.0757782 | + | 0.0337386i | ||||
\(960\) | −8.33072 | − | 11.0894i | −0.268873 | − | 0.357908i | ||||
\(961\) | 46.4813 | − | 51.6227i | 1.49940 | − | 1.66525i | ||||
\(962\) | 2.02529 | − | 1.47146i | 0.0652981 | − | 0.0474418i | ||||
\(963\) | 27.5215 | − | 13.3224i | 0.886867 | − | 0.429307i | ||||
\(964\) | −26.8194 | − | 82.5415i | −0.863793 | − | 2.65848i | ||||
\(965\) | 15.3435 | − | 3.26137i | 0.493926 | − | 0.104987i | ||||
\(966\) | −3.67148 | + | 18.7399i | −0.118128 | + | 0.602946i | ||||
\(967\) | 7.48654 | − | 12.9671i | 0.240751 | − | 0.416993i | −0.720177 | − | 0.693790i | \(-0.755940\pi\) |
0.960928 | + | 0.276797i | \(0.0892729\pi\) | |||||||
\(968\) | 17.0982 | + | 14.0026i | 0.549557 | + | 0.450060i | ||||
\(969\) | −24.0254 | − | 2.13781i | −0.771806 | − | 0.0686762i | ||||
\(970\) | 0.0473952 | − | 0.450936i | 0.00152177 | − | 0.0144787i | ||||
\(971\) | −5.33679 | + | 16.4249i | −0.171266 | + | 0.527101i | −0.999443 | − | 0.0333644i | \(-0.989378\pi\) |
0.828178 | + | 0.560466i | \(0.189378\pi\) | |||||||
\(972\) | 35.9875 | + | 27.5387i | 1.15430 | + | 0.883303i | ||||
\(973\) | −26.4866 | + | 19.2436i | −0.849121 | + | 0.616922i | ||||
\(974\) | −38.7954 | − | 17.2728i | −1.24308 | − | 0.553457i | ||||
\(975\) | 0.201476 | + | 0.878622i | 0.00645239 | + | 0.0281384i | ||||
\(976\) | 1.55392 | + | 1.72580i | 0.0497396 | + | 0.0552414i | ||||
\(977\) | −12.7885 | + | 5.69381i | −0.409141 | + | 0.182161i | −0.600978 | − | 0.799266i | \(-0.705222\pi\) |
0.191837 | + | 0.981427i | \(0.438555\pi\) | |||||||
\(978\) | 25.2901 | + | 54.4451i | 0.808687 | + | 1.74096i | ||||
\(979\) | −7.38804 | − | 10.8134i | −0.236123 | − | 0.345597i | ||||
\(980\) | 0.628925 | 0.0200903 | ||||||||
\(981\) | −3.68207 | − | 3.83557i | −0.117560 | − | 0.122460i | ||||
\(982\) | 5.23921 | − | 16.1246i | 0.167190 | − | 0.514557i | ||||
\(983\) | 27.0317 | − | 30.0217i | 0.862176 | − | 0.957544i | −0.137279 | − | 0.990532i | \(-0.543836\pi\) |
0.999456 | + | 0.0329884i | \(0.0105024\pi\) | |||||||
\(984\) | −0.466294 | − | 29.1914i | −0.0148649 | − | 0.930588i | ||||
\(985\) | 0.0763795 | + | 0.726702i | 0.00243365 | + | 0.0231547i | ||||
\(986\) | −35.5383 | − | 7.55391i | −1.13177 | − | 0.240565i | ||||
\(987\) | 16.9899 | + | 22.6160i | 0.540796 | + | 0.719876i | ||||
\(988\) | 0.201343 | − | 1.91565i | 0.00640558 | − | 0.0609450i | ||||
\(989\) | 4.13820 | 0.131587 | ||||||||
\(990\) | −2.81209 | + | 13.4284i | −0.0893741 | + | 0.426783i | ||||
\(991\) | 27.9439 | 0.887667 | 0.443833 | − | 0.896109i | \(-0.353618\pi\) | ||||
0.443833 | + | 0.896109i | \(0.353618\pi\) | |||||||
\(992\) | 7.37429 | − | 70.1616i | 0.234134 | − | 2.22763i | ||||
\(993\) | 34.0393 | − | 4.12834i | 1.08020 | − | 0.131009i | ||||
\(994\) | −32.2911 | − | 6.86368i | −1.02421 | − | 0.217703i | ||||
\(995\) | −0.119985 | − | 1.14158i | −0.00380377 | − | 0.0361905i | ||||
\(996\) | 26.7787 | − | 16.0363i | 0.848516 | − | 0.508131i | ||||
\(997\) | −33.5294 | + | 37.2382i | −1.06189 | + | 1.17935i | −0.0786719 | + | 0.996901i | \(0.525068\pi\) |
−0.983216 | + | 0.182445i | \(0.941599\pi\) | |||||||
\(998\) | 4.69975 | − | 14.4643i | 0.148768 | − | 0.457861i | ||||
\(999\) | −32.5726 | − | 40.5912i | −1.03055 | − | 1.28425i |
(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 | 99.2.m.b.4.1 | ✓ | 72 | |
3.2 | odd | 2 | 297.2.n.b.37.9 | 72 | |||
9.2 | odd | 6 | 297.2.n.b.235.1 | 72 | |||
9.4 | even | 3 | 891.2.f.f.730.1 | 36 | |||
9.5 | odd | 6 | 891.2.f.e.730.9 | 36 | |||
9.7 | even | 3 | inner | 99.2.m.b.70.9 | yes | 72 | |
11.3 | even | 5 | inner | 99.2.m.b.58.9 | yes | 72 | |
11.5 | even | 5 | 1089.2.e.p.364.2 | 36 | |||
11.6 | odd | 10 | 1089.2.e.o.364.17 | 36 | |||
33.14 | odd | 10 | 297.2.n.b.91.1 | 72 | |||
99.5 | odd | 30 | 9801.2.a.cp.1.2 | 18 | |||
99.14 | odd | 30 | 891.2.f.e.487.9 | 36 | |||
99.16 | even | 15 | 1089.2.e.p.727.2 | 36 | |||
99.25 | even | 15 | inner | 99.2.m.b.25.1 | yes | 72 | |
99.47 | odd | 30 | 297.2.n.b.289.9 | 72 | |||
99.49 | even | 15 | 9801.2.a.cm.1.17 | 18 | |||
99.50 | even | 30 | 9801.2.a.cn.1.17 | 18 | |||
99.58 | even | 15 | 891.2.f.f.487.1 | 36 | |||
99.61 | odd | 30 | 1089.2.e.o.727.17 | 36 | |||
99.94 | odd | 30 | 9801.2.a.co.1.2 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.m.b.4.1 | ✓ | 72 | 1.1 | even | 1 | trivial | |
99.2.m.b.25.1 | yes | 72 | 99.25 | even | 15 | inner | |
99.2.m.b.58.9 | yes | 72 | 11.3 | even | 5 | inner | |
99.2.m.b.70.9 | yes | 72 | 9.7 | even | 3 | inner | |
297.2.n.b.37.9 | 72 | 3.2 | odd | 2 | |||
297.2.n.b.91.1 | 72 | 33.14 | odd | 10 | |||
297.2.n.b.235.1 | 72 | 9.2 | odd | 6 | |||
297.2.n.b.289.9 | 72 | 99.47 | odd | 30 | |||
891.2.f.e.487.9 | 36 | 99.14 | odd | 30 | |||
891.2.f.e.730.9 | 36 | 9.5 | odd | 6 | |||
891.2.f.f.487.1 | 36 | 99.58 | even | 15 | |||
891.2.f.f.730.1 | 36 | 9.4 | even | 3 | |||
1089.2.e.o.364.17 | 36 | 11.6 | odd | 10 | |||
1089.2.e.o.727.17 | 36 | 99.61 | odd | 30 | |||
1089.2.e.p.364.2 | 36 | 11.5 | even | 5 | |||
1089.2.e.p.727.2 | 36 | 99.16 | even | 15 | |||
9801.2.a.cm.1.17 | 18 | 99.49 | even | 15 | |||
9801.2.a.cn.1.17 | 18 | 99.50 | even | 30 | |||
9801.2.a.co.1.2 | 18 | 99.94 | odd | 30 | |||
9801.2.a.cp.1.2 | 18 | 99.5 | odd | 30 |