Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(80,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.80");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.k (of order \(12\), degree \(4\), not 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: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{12})\) |
Coefficient field: | 8.0.56070144.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 4x^{7} + 16x^{6} - 34x^{5} + 63x^{4} - 74x^{3} + 70x^{2} - 38x + 13 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 39) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 80.2 | ||
Root | \(0.500000 + 1.56488i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 507.80 |
Dual form | 507.2.k.e.488.2 |
$q$-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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.389774 | − | 1.45466i | 0.275612 | − | 1.02860i | −0.679818 | − | 0.733380i | \(-0.737941\pi\) |
0.955430 | − | 0.295217i | \(-0.0953919\pi\) | |||||||
\(3\) | −1.60523 | − | 0.650571i | −0.926779 | − | 0.375608i | ||||
\(4\) | −0.232051 | − | 0.133975i | −0.116025 | − | 0.0669873i | ||||
\(5\) | 1.06488 | + | 1.06488i | 0.476230 | + | 0.476230i | 0.903924 | − | 0.427694i | \(-0.140674\pi\) |
−0.427694 | + | 0.903924i | \(0.640674\pi\) | |||||||
\(6\) | −1.57203 | + | 2.08148i | −0.641780 | + | 0.849760i | ||||
\(7\) | −1.36603 | + | 0.366025i | −0.516309 | + | 0.138345i | −0.507559 | − | 0.861617i | \(-0.669452\pi\) |
−0.00875026 | + | 0.999962i | \(0.502785\pi\) | |||||||
\(8\) | 1.84443 | − | 1.84443i | 0.652105 | − | 0.652105i | ||||
\(9\) | 2.15351 | + | 2.08863i | 0.717838 | + | 0.696210i | ||||
\(10\) | 1.96410 | − | 1.13397i | 0.621103 | − | 0.358594i | ||||
\(11\) | 3.97420 | + | 1.06488i | 1.19826 | + | 0.321074i | 0.802148 | − | 0.597126i | \(-0.203691\pi\) |
0.396117 | + | 0.918200i | \(0.370357\pi\) | |||||||
\(12\) | 0.285334 | + | 0.366025i | 0.0823689 | + | 0.105662i | ||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 2.12976i | 0.569204i | ||||||||
\(15\) | −1.01660 | − | 2.40216i | −0.262484 | − | 0.620235i | ||||
\(16\) | −2.23205 | − | 3.86603i | −0.558013 | − | 0.966506i | ||||
\(17\) | 2.51954 | − | 4.36397i | 0.611078 | − | 1.05842i | −0.379981 | − | 0.924994i | \(-0.624070\pi\) |
0.991059 | − | 0.133424i | \(-0.0425971\pi\) | |||||||
\(18\) | 3.87762 | − | 2.31853i | 0.913965 | − | 0.546482i | ||||
\(19\) | 1.00000 | + | 3.73205i | 0.229416 | + | 0.856191i | 0.980587 | + | 0.196084i | \(0.0628225\pi\) |
−0.751171 | + | 0.660107i | \(0.770511\pi\) | |||||||
\(20\) | −0.104440 | − | 0.389774i | −0.0233534 | − | 0.0871561i | ||||
\(21\) | 2.43091 | + | 0.301143i | 0.530468 | + | 0.0657148i | ||||
\(22\) | 3.09808 | − | 5.36603i | 0.660512 | − | 1.14404i | ||||
\(23\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(24\) | −4.16067 | + | 1.76080i | −0.849292 | + | 0.359421i | ||||
\(25\) | − | 2.73205i | − | 0.546410i | ||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.09808 | − | 4.75374i | −0.403775 | − | 0.914858i | ||||
\(28\) | 0.366025 | + | 0.0980762i | 0.0691723 | + | 0.0185347i | ||||
\(29\) | 6.20840 | − | 3.58442i | 1.15287 | − | 0.665610i | 0.203286 | − | 0.979119i | \(-0.434838\pi\) |
0.949585 | + | 0.313509i | \(0.101505\pi\) | |||||||
\(30\) | −3.89056 | + | 0.542499i | −0.710316 | + | 0.0990463i | ||||
\(31\) | −2.46410 | + | 2.46410i | −0.442566 | + | 0.442566i | −0.892873 | − | 0.450308i | \(-0.851314\pi\) |
0.450308 | + | 0.892873i | \(0.351314\pi\) | |||||||
\(32\) | −1.45466 | + | 0.389774i | −0.257149 | + | 0.0689030i | ||||
\(33\) | −5.68671 | − | 4.29488i | −0.989929 | − | 0.747642i | ||||
\(34\) | −5.36603 | − | 5.36603i | −0.920266 | − | 0.920266i | ||||
\(35\) | −1.84443 | − | 1.06488i | −0.311766 | − | 0.179998i | ||||
\(36\) | −0.219901 | − | 0.773185i | −0.0366502 | − | 0.128864i | ||||
\(37\) | 1.40192 | − | 5.23205i | 0.230475 | − | 0.860144i | −0.749662 | − | 0.661821i | \(-0.769784\pi\) |
0.980137 | − | 0.198323i | \(-0.0635495\pi\) | |||||||
\(38\) | 5.81863 | 0.943906 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.92820 | 0.621103 | ||||||||
\(41\) | −1.45466 | + | 5.42885i | −0.227179 | + | 0.847844i | 0.754341 | + | 0.656483i | \(0.227957\pi\) |
−0.981520 | + | 0.191361i | \(0.938710\pi\) | |||||||
\(42\) | 1.38556 | − | 3.41876i | 0.213797 | − | 0.527526i | ||||
\(43\) | −1.90192 | − | 1.09808i | −0.290041 | − | 0.167455i | 0.347920 | − | 0.937524i | \(-0.386888\pi\) |
−0.637960 | + | 0.770069i | \(0.720222\pi\) | |||||||
\(44\) | −0.779548 | − | 0.779548i | −0.117521 | − | 0.117521i | ||||
\(45\) | 0.0690922 | + | 4.51739i | 0.0102997 | + | 0.673412i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −4.25953 | + | 4.25953i | −0.621316 | + | 0.621316i | −0.945868 | − | 0.324552i | \(-0.894787\pi\) |
0.324552 | + | 0.945868i | \(0.394787\pi\) | |||||||
\(48\) | 1.06782 | + | 7.65796i | 0.154127 | + | 1.10533i | ||||
\(49\) | −4.33013 | + | 2.50000i | −0.618590 | + | 0.357143i | ||||
\(50\) | −3.97420 | − | 1.06488i | −0.562036 | − | 0.150597i | ||||
\(51\) | −6.88351 | + | 5.36603i | −0.963884 | + | 0.751394i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.779548i | 0.107079i | 0.998566 | + | 0.0535396i | \(0.0170503\pi\) | ||||
−0.998566 | + | 0.0535396i | \(0.982950\pi\) | |||||||
\(54\) | −7.73284 | + | 1.19909i | −1.05231 | + | 0.163176i | ||||
\(55\) | 3.09808 | + | 5.36603i | 0.417745 | + | 0.723555i | ||||
\(56\) | −1.84443 | + | 3.19465i | −0.246472 | + | 0.426903i | ||||
\(57\) | 0.822738 | − | 6.64136i | 0.108974 | − | 0.879670i | ||||
\(58\) | −2.79423 | − | 10.4282i | −0.366900 | − | 1.36929i | ||||
\(59\) | 0.779548 | + | 2.90931i | 0.101489 | + | 0.378760i | 0.997923 | − | 0.0644157i | \(-0.0205184\pi\) |
−0.896435 | + | 0.443176i | \(0.853852\pi\) | |||||||
\(60\) | −0.0859264 | + | 0.693622i | −0.0110931 | + | 0.0895462i | ||||
\(61\) | 3.50000 | − | 6.06218i | 0.448129 | − | 0.776182i | −0.550135 | − | 0.835076i | \(-0.685424\pi\) |
0.998264 | + | 0.0588933i | \(0.0187572\pi\) | |||||||
\(62\) | 2.62398 | + | 4.54486i | 0.333246 | + | 0.577198i | ||||
\(63\) | −3.70625 | − | 2.06488i | −0.466943 | − | 0.260151i | ||||
\(64\) | − | 6.66025i | − | 0.832532i | ||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −8.46410 | + | 6.59817i | −1.04186 | + | 0.812179i | ||||
\(67\) | 5.73205 | + | 1.53590i | 0.700281 | + | 0.187640i | 0.591357 | − | 0.806410i | \(-0.298593\pi\) |
0.108925 | + | 0.994050i | \(0.465259\pi\) | |||||||
\(68\) | −1.16932 | + | 0.675108i | −0.141801 | + | 0.0818689i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.26795 | + | 2.26795i | −0.271072 | + | 0.271072i | ||||
\(71\) | 2.90931 | − | 0.779548i | 0.345272 | − | 0.0925153i | −0.0820158 | − | 0.996631i | \(-0.526136\pi\) |
0.427288 | + | 0.904116i | \(0.359469\pi\) | |||||||
\(72\) | 7.82434 | − | 0.119671i | 0.922107 | − | 0.0141034i | ||||
\(73\) | −0.901924 | − | 0.901924i | −0.105562 | − | 0.105562i | 0.652353 | − | 0.757915i | \(-0.273782\pi\) |
−0.757915 | + | 0.652353i | \(0.773782\pi\) | |||||||
\(74\) | −7.06440 | − | 4.07863i | −0.821220 | − | 0.474132i | ||||
\(75\) | −1.77739 | + | 4.38556i | −0.205236 | + | 0.506401i | ||||
\(76\) | 0.267949 | − | 1.00000i | 0.0307359 | − | 0.114708i | ||||
\(77\) | −5.81863 | −0.663094 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.00000 | 0.225018 | 0.112509 | − | 0.993651i | \(-0.464111\pi\) | ||||
0.112509 | + | 0.993651i | \(0.464111\pi\) | |||||||
\(80\) | 1.73999 | − | 6.49373i | 0.194537 | − | 0.726022i | ||||
\(81\) | 0.275241 | + | 8.99579i | 0.0305823 | + | 0.999532i | ||||
\(82\) | 7.33013 | + | 4.23205i | 0.809477 | + | 0.467352i | ||||
\(83\) | 2.90931 | + | 2.90931i | 0.319339 | + | 0.319339i | 0.848513 | − | 0.529174i | \(-0.177498\pi\) |
−0.529174 | + | 0.848513i | \(0.677498\pi\) | |||||||
\(84\) | −0.523749 | − | 0.395560i | −0.0571457 | − | 0.0431592i | ||||
\(85\) | 7.33013 | − | 1.96410i | 0.795064 | − | 0.213037i | ||||
\(86\) | −2.33864 | + | 2.33864i | −0.252182 | + | 0.252182i | ||||
\(87\) | −12.2978 | + | 1.71481i | −1.31846 | + | 0.183846i | ||||
\(88\) | 9.29423 | − | 5.36603i | 0.990768 | − | 0.572020i | ||||
\(89\) | 9.01327 | + | 2.41510i | 0.955405 | + | 0.256000i | 0.702654 | − | 0.711531i | \(-0.251998\pi\) |
0.252751 | + | 0.967531i | \(0.418665\pi\) | |||||||
\(90\) | 6.59817 | + | 1.66025i | 0.695509 | + | 0.175006i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 5.55852 | − | 2.35237i | 0.576392 | − | 0.243929i | ||||
\(94\) | 4.53590 | + | 7.85641i | 0.467842 | + | 0.810326i | ||||
\(95\) | −2.90931 | + | 5.03908i | −0.298489 | + | 0.516998i | ||||
\(96\) | 2.58863 | + | 0.320682i | 0.264201 | + | 0.0327295i | ||||
\(97\) | −0.437822 | − | 1.63397i | −0.0444541 | − | 0.165905i | 0.940130 | − | 0.340815i | \(-0.110703\pi\) |
−0.984584 | + | 0.174910i | \(0.944036\pi\) | |||||||
\(98\) | 1.94887 | + | 7.27328i | 0.196866 | + | 0.734712i | ||||
\(99\) | 6.33434 | + | 10.5939i | 0.636625 | + | 1.06472i | ||||
\(100\) | −0.366025 | + | 0.633975i | −0.0366025 | + | 0.0633975i | ||||
\(101\) | −3.01375 | − | 5.21997i | −0.299880 | − | 0.519407i | 0.676229 | − | 0.736692i | \(-0.263613\pi\) |
−0.976108 | + | 0.217285i | \(0.930280\pi\) | |||||||
\(102\) | 5.12271 | + | 12.1047i | 0.507224 | + | 1.19854i | ||||
\(103\) | 6.92820i | 0.682656i | 0.939944 | + | 0.341328i | \(0.110877\pi\) | ||||
−0.939944 | + | 0.341328i | \(0.889123\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.26795 | + | 2.90931i | 0.221329 | + | 0.283920i | ||||
\(106\) | 1.13397 | + | 0.303848i | 0.110141 | + | 0.0295123i | ||||
\(107\) | −16.4675 | + | 9.50749i | −1.59197 | + | 0.919123i | −0.598999 | + | 0.800749i | \(0.704435\pi\) |
−0.992969 | + | 0.118374i | \(0.962232\pi\) | |||||||
\(108\) | −0.150021 | + | 1.38420i | −0.0144357 | + | 0.133195i | ||||
\(109\) | −13.1962 | + | 13.1962i | −1.26396 | + | 1.26396i | −0.314806 | + | 0.949156i | \(0.601940\pi\) |
−0.949156 | + | 0.314806i | \(0.898060\pi\) | |||||||
\(110\) | 9.01327 | − | 2.41510i | 0.859382 | − | 0.230271i | ||||
\(111\) | −5.65423 | + | 7.48658i | −0.536676 | + | 0.710595i | ||||
\(112\) | 4.46410 | + | 4.46410i | 0.421818 | + | 0.421818i | ||||
\(113\) | 8.90883 | + | 5.14352i | 0.838073 | + | 0.483861i | 0.856609 | − | 0.515967i | \(-0.172567\pi\) |
−0.0185360 | + | 0.999828i | \(0.505901\pi\) | |||||||
\(114\) | −9.34022 | − | 3.78543i | −0.874792 | − | 0.354538i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −1.92089 | −0.178350 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.53590 | 0.417563 | ||||||||
\(119\) | −1.84443 | + | 6.88351i | −0.169079 | + | 0.631010i | ||||
\(120\) | −6.30566 | − | 2.55558i | −0.575626 | − | 0.233291i | ||||
\(121\) | 5.13397 | + | 2.96410i | 0.466725 | + | 0.269464i | ||||
\(122\) | −7.45418 | − | 7.45418i | −0.674869 | − | 0.674869i | ||||
\(123\) | 5.86691 | − | 7.76819i | 0.529002 | − | 0.700434i | ||||
\(124\) | 0.901924 | − | 0.241670i | 0.0809951 | − | 0.0217026i | ||||
\(125\) | 8.23373 | − | 8.23373i | 0.736447 | − | 0.736447i | ||||
\(126\) | −4.44829 | + | 4.58648i | −0.396285 | + | 0.408596i | ||||
\(127\) | −7.90192 | + | 4.56218i | −0.701182 | + | 0.404828i | −0.807788 | − | 0.589474i | \(-0.799335\pi\) |
0.106605 | + | 0.994301i | \(0.466002\pi\) | |||||||
\(128\) | −12.5977 | − | 3.37554i | −1.11349 | − | 0.298359i | ||||
\(129\) | 2.33864 | + | 3.00000i | 0.205906 | + | 0.264135i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − | 7.94839i | − | 0.694454i | −0.937781 | − | 0.347227i | \(-0.887123\pi\) | ||
0.937781 | − | 0.347227i | \(-0.112877\pi\) | |||||||
\(132\) | 0.744201 | + | 1.75850i | 0.0647743 | + | 0.153058i | ||||
\(133\) | −2.73205 | − | 4.73205i | −0.236899 | − | 0.410321i | ||||
\(134\) | 4.46841 | − | 7.73951i | 0.386012 | − | 0.668592i | ||||
\(135\) | 2.82797 | − | 7.29638i | 0.243393 | − | 0.627973i | ||||
\(136\) | −3.40192 | − | 12.6962i | −0.291713 | − | 1.08869i | ||||
\(137\) | −1.73999 | − | 6.49373i | −0.148657 | − | 0.554797i | −0.999565 | − | 0.0294822i | \(-0.990614\pi\) |
0.850908 | − | 0.525315i | \(-0.176052\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −9.19615 | + | 15.9282i | −0.780007 | + | 1.35101i | 0.151929 | + | 0.988391i | \(0.451451\pi\) |
−0.931937 | + | 0.362621i | \(0.881882\pi\) | |||||||
\(140\) | 0.285334 | + | 0.494214i | 0.0241152 | + | 0.0417687i | ||||
\(141\) | 9.60864 | − | 4.06639i | 0.809194 | − | 0.342452i | ||||
\(142\) | − | 4.53590i | − | 0.380644i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 3.26795 | − | 12.9875i | 0.272329 | − | 1.08229i | ||||
\(145\) | 10.4282 | + | 2.79423i | 0.866015 | + | 0.232048i | ||||
\(146\) | −1.66354 | + | 0.960443i | −0.137675 | + | 0.0794868i | ||||
\(147\) | 8.57727 | − | 1.19601i | 0.707441 | − | 0.0986455i | ||||
\(148\) | −1.02628 | + | 1.02628i | −0.0843597 | + | 0.0843597i | ||||
\(149\) | −8.33816 | + | 2.23420i | −0.683089 | + | 0.183033i | −0.583644 | − | 0.812010i | \(-0.698374\pi\) |
−0.0994454 | + | 0.995043i | \(0.531707\pi\) | |||||||
\(150\) | 5.68671 | + | 4.29488i | 0.464318 | + | 0.350675i | ||||
\(151\) | 0.535898 | + | 0.535898i | 0.0436108 | + | 0.0436108i | 0.728576 | − | 0.684965i | \(-0.240183\pi\) |
−0.684965 | + | 0.728576i | \(0.740183\pi\) | |||||||
\(152\) | 8.72794 | + | 5.03908i | 0.707929 | + | 0.408723i | ||||
\(153\) | 14.5406 | − | 4.13548i | 1.17554 | − | 0.334334i | ||||
\(154\) | −2.26795 | + | 8.46410i | −0.182757 | + | 0.682057i | ||||
\(155\) | −5.24796 | −0.421526 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.80385 | −0.383389 | −0.191694 | − | 0.981455i | \(-0.561398\pi\) | ||||
−0.191694 | + | 0.981455i | \(0.561398\pi\) | |||||||
\(158\) | 0.779548 | − | 2.90931i | 0.0620175 | − | 0.231453i | ||||
\(159\) | 0.507152 | − | 1.25135i | 0.0402197 | − | 0.0992387i | ||||
\(160\) | −1.96410 | − | 1.13397i | −0.155276 | − | 0.0896486i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 13.1931 | + | 3.10594i | 1.03655 | + | 0.244026i | ||||
\(163\) | 4.00000 | − | 1.07180i | 0.313304 | − | 0.0839496i | −0.0987406 | − | 0.995113i | \(-0.531481\pi\) |
0.412045 | + | 0.911164i | \(0.364815\pi\) | |||||||
\(164\) | 1.06488 | − | 1.06488i | 0.0831533 | − | 0.0831533i | ||||
\(165\) | −1.48214 | − | 10.6292i | −0.115384 | − | 0.827483i | ||||
\(166\) | 5.36603 | − | 3.09808i | 0.416484 | − | 0.240457i | ||||
\(167\) | −12.9875 | − | 3.47998i | −1.00500 | − | 0.269289i | −0.281461 | − | 0.959573i | \(-0.590819\pi\) |
−0.723539 | + | 0.690283i | \(0.757486\pi\) | |||||||
\(168\) | 5.03908 | − | 3.92820i | 0.388773 | − | 0.303067i | ||||
\(169\) | 0 | 0 | ||||||||
\(170\) | − | 11.4284i | − | 0.876516i | ||||||
\(171\) | −5.64136 | + | 10.1257i | −0.431406 | + | 0.774328i | ||||
\(172\) | 0.294229 | + | 0.509619i | 0.0224347 | + | 0.0388581i | ||||
\(173\) | −8.72794 | + | 15.1172i | −0.663573 | + | 1.14934i | 0.316097 | + | 0.948727i | \(0.397627\pi\) |
−0.979670 | + | 0.200615i | \(0.935706\pi\) | |||||||
\(174\) | −2.29892 | + | 18.5575i | −0.174281 | + | 1.40684i | ||||
\(175\) | 1.00000 | + | 3.73205i | 0.0755929 | + | 0.282117i | ||||
\(176\) | −4.75374 | − | 17.7412i | −0.358327 | − | 1.33729i | ||||
\(177\) | 0.641364 | − | 5.17726i | 0.0482078 | − | 0.389147i | ||||
\(178\) | 7.02628 | − | 12.1699i | 0.526642 | − | 0.912171i | ||||
\(179\) | −13.2728 | − | 22.9892i | −0.992056 | − | 1.71829i | −0.604972 | − | 0.796247i | \(-0.706816\pi\) |
−0.387084 | − | 0.922045i | \(-0.626518\pi\) | |||||||
\(180\) | 0.589182 | − | 1.05752i | 0.0439150 | − | 0.0788228i | ||||
\(181\) | 3.00000i | 0.222988i | 0.993765 | + | 0.111494i | \(0.0355636\pi\) | ||||
−0.993765 | + | 0.111494i | \(0.964436\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −9.56218 | + | 7.45418i | −0.706857 | + | 0.551029i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 7.06440 | − | 4.07863i | 0.519385 | − | 0.299867i | ||||
\(186\) | −1.25532 | − | 9.00263i | −0.0920449 | − | 0.660105i | ||||
\(187\) | 14.6603 | − | 14.6603i | 1.07206 | − | 1.07206i | ||||
\(188\) | 1.55910 | − | 0.417759i | 0.113709 | − | 0.0304682i | ||||
\(189\) | 4.60602 | + | 5.72579i | 0.335038 | + | 0.416490i | ||||
\(190\) | 6.19615 | + | 6.19615i | 0.449516 | + | 0.449516i | ||||
\(191\) | −4.18307 | − | 2.41510i | −0.302677 | − | 0.174750i | 0.340968 | − | 0.940075i | \(-0.389245\pi\) |
−0.643645 | + | 0.765324i | \(0.722579\pi\) | |||||||
\(192\) | −4.33297 | + | 10.6912i | −0.312705 | + | 0.771573i | ||||
\(193\) | −0.0358984 | + | 0.133975i | −0.00258402 | + | 0.00964370i | −0.967206 | − | 0.253994i | \(-0.918256\pi\) |
0.964622 | + | 0.263638i | \(0.0849223\pi\) | |||||||
\(194\) | −2.54752 | −0.182902 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.33975 | 0.0956961 | ||||||||
\(197\) | 1.06488 | − | 3.97420i | 0.0758697 | − | 0.283150i | −0.917559 | − | 0.397599i | \(-0.869844\pi\) |
0.993429 | + | 0.114449i | \(0.0365103\pi\) | |||||||
\(198\) | 17.8794 | − | 5.08507i | 1.27063 | − | 0.361380i | ||||
\(199\) | −11.1962 | − | 6.46410i | −0.793674 | − | 0.458228i | 0.0475802 | − | 0.998867i | \(-0.484849\pi\) |
−0.841254 | + | 0.540639i | \(0.818182\pi\) | |||||||
\(200\) | −5.03908 | − | 5.03908i | −0.356317 | − | 0.356317i | ||||
\(201\) | −8.20204 | − | 6.19458i | −0.578527 | − | 0.436932i | ||||
\(202\) | −8.76795 | + | 2.34936i | −0.616911 | + | 0.165301i | ||||
\(203\) | −7.16884 | + | 7.16884i | −0.503154 | + | 0.503154i | ||||
\(204\) | 2.31623 | − | 0.322975i | 0.162169 | − | 0.0226128i | ||||
\(205\) | −7.33013 | + | 4.23205i | −0.511958 | + | 0.295579i | ||||
\(206\) | 10.0782 | + | 2.70043i | 0.702178 | + | 0.188148i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 15.8968i | 1.09960i | ||||||||
\(210\) | 5.11604 | − | 2.16511i | 0.353040 | − | 0.149407i | ||||
\(211\) | 0.901924 | + | 1.56218i | 0.0620910 | + | 0.107545i | 0.895400 | − | 0.445263i | \(-0.146890\pi\) |
−0.833309 | + | 0.552808i | \(0.813556\pi\) | |||||||
\(212\) | 0.104440 | − | 0.180895i | 0.00717294 | − | 0.0124239i | ||||
\(213\) | −5.17726 | − | 0.641364i | −0.354740 | − | 0.0439455i | ||||
\(214\) | 7.41154 | + | 27.6603i | 0.506643 | + | 1.89082i | ||||
\(215\) | −0.856003 | − | 3.19465i | −0.0583789 | − | 0.217873i | ||||
\(216\) | −12.6377 | − | 4.89819i | −0.859887 | − | 0.333280i | ||||
\(217\) | 2.46410 | − | 4.26795i | 0.167274 | − | 0.289727i | ||||
\(218\) | 14.0524 | + | 24.3394i | 0.951745 | + | 1.64847i | ||||
\(219\) | 0.861027 | + | 2.03456i | 0.0581828 | + | 0.137483i | ||||
\(220\) | − | 1.66025i | − | 0.111934i | ||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 8.68653 | + | 11.1430i | 0.583002 | + | 0.747872i | ||||
\(223\) | −25.0263 | − | 6.70577i | −1.67588 | − | 0.449052i | −0.709196 | − | 0.705011i | \(-0.750942\pi\) |
−0.966687 | + | 0.255960i | \(0.917609\pi\) | |||||||
\(224\) | 1.84443 | − | 1.06488i | 0.123236 | − | 0.0711505i | ||||
\(225\) | 5.70625 | − | 5.88351i | 0.380416 | − | 0.392234i | ||||
\(226\) | 10.9545 | − | 10.9545i | 0.728681 | − | 0.728681i | ||||
\(227\) | −19.5856 | + | 5.24796i | −1.29994 | + | 0.348319i | −0.841429 | − | 0.540367i | \(-0.818285\pi\) |
−0.458515 | + | 0.888686i | \(0.651619\pi\) | |||||||
\(228\) | −1.08069 | + | 1.43091i | −0.0715705 | + | 0.0947642i | ||||
\(229\) | −14.1244 | − | 14.1244i | −0.933364 | − | 0.933364i | 0.0645507 | − | 0.997914i | \(-0.479439\pi\) |
−0.997914 | + | 0.0645507i | \(0.979439\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 9.34022 | + | 3.78543i | 0.614541 | + | 0.249063i | ||||
\(232\) | 4.83975 | − | 18.0622i | 0.317745 | − | 1.18584i | ||||
\(233\) | 17.4559 | 1.14357 | 0.571786 | − | 0.820403i | \(-0.306251\pi\) | ||||
0.571786 | + | 0.820403i | \(0.306251\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −9.07180 | −0.591779 | ||||||||
\(236\) | 0.208879 | − | 0.779548i | 0.0135969 | − | 0.0507443i | ||||
\(237\) | −3.21046 | − | 1.30114i | −0.208542 | − | 0.0845183i | ||||
\(238\) | 9.29423 | + | 5.36603i | 0.602455 | + | 0.347828i | ||||
\(239\) | 6.59817 | + | 6.59817i | 0.426800 | + | 0.426800i | 0.887537 | − | 0.460737i | \(-0.152415\pi\) |
−0.460737 | + | 0.887537i | \(0.652415\pi\) | |||||||
\(240\) | −7.01772 | + | 9.29194i | −0.452992 | + | 0.599792i | ||||
\(241\) | −14.0622 | + | 3.76795i | −0.905825 | + | 0.242715i | −0.681516 | − | 0.731803i | \(-0.738679\pi\) |
−0.224309 | + | 0.974518i | \(0.572012\pi\) | |||||||
\(242\) | 6.31284 | − | 6.31284i | 0.405805 | − | 0.405805i | ||||
\(243\) | 5.41058 | − | 14.6194i | 0.347089 | − | 0.937832i | ||||
\(244\) | −1.62436 | + | 0.937822i | −0.103989 | + | 0.0600379i | ||||
\(245\) | −7.27328 | − | 1.94887i | −0.464673 | − | 0.124509i | ||||
\(246\) | −9.01327 | − | 11.5622i | −0.574665 | − | 0.737178i | ||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 9.08973i | 0.577198i | ||||||||
\(249\) | −2.77739 | − | 6.56283i | −0.176010 | − | 0.415902i | ||||
\(250\) | −8.76795 | − | 15.1865i | −0.554534 | − | 0.960481i | ||||
\(251\) | 0.494214 | − | 0.856003i | 0.0311945 | − | 0.0540304i | −0.850007 | − | 0.526772i | \(-0.823402\pi\) |
0.881201 | + | 0.472741i | \(0.156736\pi\) | |||||||
\(252\) | 0.583396 | + | 0.975700i | 0.0367505 | + | 0.0614634i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 3.55644 | + | 13.2728i | 0.223151 | + | 0.832810i | ||||
\(255\) | −13.0443 | − | 1.61594i | −0.816867 | − | 0.101194i | ||||
\(256\) | −3.16025 | + | 5.47372i | −0.197516 | + | 0.342108i | ||||
\(257\) | 10.7533 | + | 18.6252i | 0.670770 | + | 1.16181i | 0.977686 | + | 0.210071i | \(0.0673696\pi\) |
−0.306916 | + | 0.951737i | \(0.599297\pi\) | |||||||
\(258\) | 5.27551 | − | 2.23260i | 0.328439 | − | 0.138996i | ||||
\(259\) | 7.66025i | 0.475985i | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 20.8564 | + | 5.24796i | 1.29098 | + | 0.324840i | ||||
\(262\) | −11.5622 | − | 3.09808i | −0.714314 | − | 0.191400i | ||||
\(263\) | 19.3003 | − | 11.1430i | 1.19011 | − | 0.687109i | 0.231777 | − | 0.972769i | \(-0.425546\pi\) |
0.958331 | + | 0.285660i | \(0.0922127\pi\) | |||||||
\(264\) | −18.4103 | + | 2.56713i | −1.13308 | + | 0.157996i | ||||
\(265\) | −0.830127 | + | 0.830127i | −0.0509943 | + | 0.0509943i | ||||
\(266\) | −7.94839 | + | 2.12976i | −0.487347 | + | 0.130584i | ||||
\(267\) | −12.8972 | − | 9.74056i | −0.789294 | − | 0.596113i | ||||
\(268\) | −1.12436 | − | 1.12436i | −0.0686810 | − | 0.0686810i | ||||
\(269\) | 12.4168 | + | 7.16884i | 0.757066 | + | 0.437092i | 0.828241 | − | 0.560372i | \(-0.189342\pi\) |
−0.0711756 | + | 0.997464i | \(0.522675\pi\) | |||||||
\(270\) | −9.51146 | − | 6.95767i | −0.578849 | − | 0.423430i | ||||
\(271\) | −2.00000 | + | 7.46410i | −0.121491 | + | 0.453412i | −0.999690 | − | 0.0248835i | \(-0.992079\pi\) |
0.878199 | + | 0.478295i | \(0.158745\pi\) | |||||||
\(272\) | −22.4950 | −1.36396 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −10.1244 | −0.611635 | ||||||||
\(275\) | 2.90931 | − | 10.8577i | 0.175438 | − | 0.654744i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −23.8923 | − | 13.7942i | −1.43555 | − | 0.828815i | −0.438013 | − | 0.898969i | \(-0.644318\pi\) |
−0.997536 | + | 0.0701536i | \(0.977651\pi\) | |||||||
\(278\) | 19.5856 | + | 19.5856i | 1.17467 | + | 1.17467i | ||||
\(279\) | −10.4531 | + | 0.159877i | −0.625809 | + | 0.00957158i | ||||
\(280\) | −5.36603 | + | 1.43782i | −0.320681 | + | 0.0859263i | ||||
\(281\) | −12.1315 | + | 12.1315i | −0.723703 | + | 0.723703i | −0.969357 | − | 0.245655i | \(-0.920997\pi\) |
0.245655 | + | 0.969357i | \(0.420997\pi\) | |||||||
\(282\) | −2.17000 | − | 15.5622i | −0.129221 | − | 0.926718i | ||||
\(283\) | 5.70577 | − | 3.29423i | 0.339173 | − | 0.195822i | −0.320733 | − | 0.947170i | \(-0.603929\pi\) |
0.659906 | + | 0.751348i | \(0.270596\pi\) | |||||||
\(284\) | −0.779548 | − | 0.208879i | −0.0462577 | − | 0.0123947i | ||||
\(285\) | 7.94839 | − | 6.19615i | 0.470822 | − | 0.367028i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 7.94839i | − | 0.469179i | ||||||
\(288\) | −3.94672 | − | 2.19886i | −0.232562 | − | 0.129569i | ||||
\(289\) | −4.19615 | − | 7.26795i | −0.246832 | − | 0.427526i | ||||
\(290\) | 8.12929 | − | 14.0803i | 0.477368 | − | 0.826826i | ||||
\(291\) | −0.360213 | + | 2.90774i | −0.0211161 | + | 0.170455i | ||||
\(292\) | 0.0884573 | + | 0.330127i | 0.00517657 | + | 0.0193192i | ||||
\(293\) | 0.466229 | + | 1.73999i | 0.0272374 | + | 0.101651i | 0.978206 | − | 0.207635i | \(-0.0665766\pi\) |
−0.950969 | + | 0.309286i | \(0.899910\pi\) | |||||||
\(294\) | 1.60341 | − | 12.9432i | 0.0935127 | − | 0.754860i | ||||
\(295\) | −2.26795 | + | 3.92820i | −0.132045 | + | 0.228709i | ||||
\(296\) | −7.06440 | − | 12.2359i | −0.410610 | − | 0.711198i | ||||
\(297\) | −3.27599 | − | 21.1265i | −0.190092 | − | 1.22588i | ||||
\(298\) | 13.0000i | 0.753070i | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 1.00000 | − | 0.779548i | 0.0577350 | − | 0.0450072i | ||||
\(301\) | 3.00000 | + | 0.803848i | 0.172917 | + | 0.0463330i | ||||
\(302\) | 0.988427 | − | 0.570669i | 0.0568776 | − | 0.0328383i | ||||
\(303\) | 1.44179 | + | 10.3399i | 0.0828289 | + | 0.594012i | ||||
\(304\) | 12.1962 | − | 12.1962i | 0.699497 | − | 0.699497i | ||||
\(305\) | 10.1826 | − | 2.72842i | 0.583054 | − | 0.156229i | ||||
\(306\) | −0.348161 | − | 22.7635i | −0.0199030 | − | 1.30130i | ||||
\(307\) | 8.39230 | + | 8.39230i | 0.478974 | + | 0.478974i | 0.904803 | − | 0.425829i | \(-0.140018\pi\) |
−0.425829 | + | 0.904803i | \(0.640018\pi\) | |||||||
\(308\) | 1.35022 | + | 0.779548i | 0.0769357 | + | 0.0444189i | ||||
\(309\) | 4.50729 | − | 11.1213i | 0.256411 | − | 0.632671i | ||||
\(310\) | −2.04552 | + | 7.63397i | −0.116178 | + | 0.433581i | ||||
\(311\) | 10.0782 | 0.571480 | 0.285740 | − | 0.958307i | \(-0.407761\pi\) | ||||
0.285740 | + | 0.958307i | \(0.407761\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.00000 | 0.113047 | 0.0565233 | − | 0.998401i | \(-0.481998\pi\) | ||||
0.0565233 | + | 0.998401i | \(0.481998\pi\) | |||||||
\(314\) | −1.87241 | + | 6.98795i | −0.105666 | + | 0.394353i | ||||
\(315\) | −1.74786 | − | 6.14557i | −0.0984807 | − | 0.346264i | ||||
\(316\) | −0.464102 | − | 0.267949i | −0.0261078 | − | 0.0150733i | ||||
\(317\) | −11.3519 | − | 11.3519i | −0.637587 | − | 0.637587i | 0.312373 | − | 0.949960i | \(-0.398876\pi\) |
−0.949960 | + | 0.312373i | \(0.898876\pi\) | |||||||
\(318\) | −1.62261 | − | 1.22548i | −0.0909916 | − | 0.0687213i | ||||
\(319\) | 28.4904 | − | 7.63397i | 1.59516 | − | 0.427421i | ||||
\(320\) | 7.09239 | − | 7.09239i | 0.396477 | − | 0.396477i | ||||
\(321\) | 32.6193 | − | 4.54843i | 1.82063 | − | 0.253869i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 18.8061 | + | 5.03908i | 1.04640 | + | 0.280382i | ||||
\(324\) | 1.14134 | − | 2.12436i | 0.0634076 | − | 0.118020i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | − | 6.23638i | − | 0.345401i | ||||||
\(327\) | 29.7679 | − | 12.5978i | 1.64617 | − | 0.696659i | ||||
\(328\) | 7.33013 | + | 12.6962i | 0.404739 | + | 0.701028i | ||||
\(329\) | 4.25953 | − | 7.37772i | 0.234835 | − | 0.406747i | ||||
\(330\) | −16.0396 | − | 1.98699i | −0.882948 | − | 0.109380i | ||||
\(331\) | 8.85641 | + | 33.0526i | 0.486792 | + | 1.81673i | 0.571852 | + | 0.820357i | \(0.306225\pi\) |
−0.0850595 | + | 0.996376i | \(0.527108\pi\) | |||||||
\(332\) | −0.285334 | − | 1.06488i | −0.0156598 | − | 0.0584430i | ||||
\(333\) | 13.9469 | − | 8.33919i | 0.764285 | − | 0.456985i | ||||
\(334\) | −10.1244 | + | 17.5359i | −0.553980 | + | 0.959522i | ||||
\(335\) | 4.46841 | + | 7.73951i | 0.244135 | + | 0.422855i | ||||
\(336\) | −4.26168 | − | 10.0701i | −0.232494 | − | 0.549370i | ||||
\(337\) | − | 18.4641i | − | 1.00580i | −0.864344 | − | 0.502902i | \(-0.832266\pi\) | ||
0.864344 | − | 0.502902i | \(-0.167734\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −10.9545 | − | 14.0524i | −0.594966 | − | 0.763219i | ||||
\(340\) | −1.96410 | − | 0.526279i | −0.106518 | − | 0.0285415i | ||||
\(341\) | −12.4168 | + | 7.16884i | −0.672407 | + | 0.388215i | ||||
\(342\) | 12.5305 | + | 12.1530i | 0.677571 | + | 0.657157i | ||||
\(343\) | 12.0000 | − | 12.0000i | 0.647939 | − | 0.647939i | ||||
\(344\) | −5.53329 | + | 1.48264i | −0.298335 | + | 0.0799386i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 18.5885 | + | 18.5885i | 0.999322 | + | 0.999322i | ||||
\(347\) | −17.8177 | − | 10.2870i | −0.956502 | − | 0.552237i | −0.0614076 | − | 0.998113i | \(-0.519559\pi\) |
−0.895095 | + | 0.445876i | \(0.852892\pi\) | |||||||
\(348\) | 3.08346 | + | 1.24967i | 0.165291 | + | 0.0669895i | ||||
\(349\) | −7.36603 | + | 27.4904i | −0.394294 | + | 1.47153i | 0.428684 | + | 0.903454i | \(0.358977\pi\) |
−0.822979 | + | 0.568072i | \(0.807689\pi\) | |||||||
\(350\) | 5.81863 | 0.311019 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −6.19615 | −0.330256 | ||||||||
\(353\) | −3.66088 | + | 13.6626i | −0.194849 | + | 0.727186i | 0.797457 | + | 0.603376i | \(0.206178\pi\) |
−0.992306 | + | 0.123810i | \(0.960489\pi\) | |||||||
\(354\) | −7.28115 | − | 2.95093i | −0.386989 | − | 0.156840i | ||||
\(355\) | 3.92820 | + | 2.26795i | 0.208487 | + | 0.120370i | ||||
\(356\) | −1.76798 | − | 1.76798i | −0.0937025 | − | 0.0937025i | ||||
\(357\) | 7.43895 | − | 9.84967i | 0.393711 | − | 0.521300i | ||||
\(358\) | −38.6147 | + | 10.3468i | −2.04085 | + | 0.546845i | ||||
\(359\) | 18.2354 | − | 18.2354i | 0.962429 | − | 0.962429i | −0.0368904 | − | 0.999319i | \(-0.511745\pi\) |
0.999319 | + | 0.0368904i | \(0.0117452\pi\) | |||||||
\(360\) | 8.45944 | + | 8.20457i | 0.445852 | + | 0.432419i | ||||
\(361\) | 3.52628 | − | 2.03590i | 0.185594 | − | 0.107153i | ||||
\(362\) | 4.36397 | + | 1.16932i | 0.229365 | + | 0.0614582i | ||||
\(363\) | −6.31284 | − | 8.09808i | −0.331338 | − | 0.425039i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | − | 1.92089i | − | 0.100544i | ||||||
\(366\) | 7.11618 | + | 16.8151i | 0.371969 | + | 0.878941i | ||||
\(367\) | −15.1962 | − | 26.3205i | −0.793233 | − | 1.37392i | −0.923955 | − | 0.382500i | \(-0.875063\pi\) |
0.130723 | − | 0.991419i | \(-0.458270\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −14.4715 | + | 8.65286i | −0.753356 | + | 0.450450i | ||||
\(370\) | −3.17949 | − | 11.8660i | −0.165294 | − | 0.616885i | ||||
\(371\) | −0.285334 | − | 1.06488i | −0.0148138 | − | 0.0552859i | ||||
\(372\) | −1.60502 | − | 0.198831i | −0.0832162 | − | 0.0103089i | ||||
\(373\) | −5.79423 | + | 10.0359i | −0.300014 | + | 0.519639i | −0.976139 | − | 0.217148i | \(-0.930325\pi\) |
0.676125 | + | 0.736787i | \(0.263658\pi\) | |||||||
\(374\) | −15.6114 | − | 27.0398i | −0.807249 | − | 1.39820i | ||||
\(375\) | −18.5736 | + | 7.86038i | −0.959138 | + | 0.405908i | ||||
\(376\) | 15.7128i | 0.810326i | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 10.1244 | − | 4.46841i | 0.520741 | − | 0.229830i | ||||
\(379\) | −14.2942 | − | 3.83013i | −0.734245 | − | 0.196740i | −0.127726 | − | 0.991809i | \(-0.540768\pi\) |
−0.606519 | + | 0.795069i | \(0.707435\pi\) | |||||||
\(380\) | 1.35022 | − | 0.779548i | 0.0692647 | − | 0.0399900i | ||||
\(381\) | 15.6524 | − | 2.18257i | 0.801897 | − | 0.111816i | ||||
\(382\) | −5.14359 | + | 5.14359i | −0.263169 | + | 0.263169i | ||||
\(383\) | 31.7936 | − | 8.51906i | 1.62458 | − | 0.435304i | 0.672234 | − | 0.740339i | \(-0.265335\pi\) |
0.952341 | + | 0.305035i | \(0.0986682\pi\) | |||||||
\(384\) | 18.0261 | + | 13.6142i | 0.919893 | + | 0.694748i | ||||
\(385\) | −6.19615 | − | 6.19615i | −0.315785 | − | 0.315785i | ||||
\(386\) | 0.180895 | + | 0.104440i | 0.00920730 | + | 0.00531584i | ||||
\(387\) | −1.80234 | − | 6.33714i | −0.0916182 | − | 0.322135i | ||||
\(388\) | −0.117314 | + | 0.437822i | −0.00595572 | + | 0.0222271i | ||||
\(389\) | 22.4950 | 1.14054 | 0.570270 | − | 0.821457i | \(-0.306839\pi\) | ||||
0.570270 | + | 0.821457i | \(0.306839\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −3.37554 | + | 12.5977i | −0.170491 | + | 0.636280i | ||||
\(393\) | −5.17100 | + | 12.7590i | −0.260842 | + | 0.643605i | ||||
\(394\) | −5.36603 | − | 3.09808i | −0.270336 | − | 0.156079i | ||||
\(395\) | 2.12976 | + | 2.12976i | 0.107160 | + | 0.107160i | ||||
\(396\) | −0.0505790 | − | 3.30696i | −0.00254169 | − | 0.166181i | ||||
\(397\) | 13.2942 | − | 3.56218i | 0.667218 | − | 0.178781i | 0.0907168 | − | 0.995877i | \(-0.471084\pi\) |
0.576501 | + | 0.817096i | \(0.304418\pi\) | |||||||
\(398\) | −13.7670 | + | 13.7670i | −0.690078 | + | 0.690078i | ||||
\(399\) | 1.30703 | + | 9.37341i | 0.0654332 | + | 0.469258i | ||||
\(400\) | −10.5622 | + | 6.09808i | −0.528109 | + | 0.304904i | ||||
\(401\) | 12.0270 | + | 3.22263i | 0.600601 | + | 0.160931i | 0.546294 | − | 0.837594i | \(-0.316038\pi\) |
0.0543073 | + | 0.998524i | \(0.482705\pi\) | |||||||
\(402\) | −12.2079 | + | 9.51666i | −0.608876 | + | 0.474648i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 1.61507i | 0.0803525i | ||||||||
\(405\) | −9.28636 | + | 9.87256i | −0.461443 | + | 0.490571i | ||||
\(406\) | 7.63397 | + | 13.2224i | 0.378868 | + | 0.656218i | ||||
\(407\) | 11.1430 | − | 19.3003i | 0.552340 | − | 0.956681i | ||||
\(408\) | −2.79889 | + | 22.5934i | −0.138566 | + | 1.11854i | ||||
\(409\) | −7.76795 | − | 28.9904i | −0.384100 | − | 1.43348i | −0.839580 | − | 0.543236i | \(-0.817199\pi\) |
0.455480 | − | 0.890246i | \(-0.349468\pi\) | |||||||
\(410\) | 3.29909 | + | 12.3124i | 0.162930 | + | 0.608064i | ||||
\(411\) | −1.43156 | + | 11.5559i | −0.0706135 | + | 0.570011i | ||||
\(412\) | 0.928203 | − | 1.60770i | 0.0457293 | − | 0.0792055i | ||||
\(413\) | −2.12976 | − | 3.68886i | −0.104799 | − | 0.181517i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 6.19615i | 0.304157i | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 25.1244 | − | 19.5856i | 1.23034 | − | 0.959113i | ||||
\(418\) | 23.1244 | + | 6.19615i | 1.13105 | + | 0.303064i | ||||
\(419\) | 8.23373 | − | 4.75374i | 0.402244 | − | 0.232236i | −0.285208 | − | 0.958466i | \(-0.592063\pi\) |
0.687452 | + | 0.726230i | \(0.258729\pi\) | |||||||
\(420\) | −0.136505 | − | 0.978956i | −0.00666078 | − | 0.0477682i | ||||
\(421\) | −7.83013 | + | 7.83013i | −0.381617 | + | 0.381617i | −0.871685 | − | 0.490067i | \(-0.836972\pi\) |
0.490067 | + | 0.871685i | \(0.336972\pi\) | |||||||
\(422\) | 2.62398 | − | 0.703093i | 0.127733 | − | 0.0342260i | ||||
\(423\) | −18.0695 | + | 0.276369i | −0.878571 | + | 0.0134375i | ||||
\(424\) | 1.43782 | + | 1.43782i | 0.0698268 | + | 0.0698268i | ||||
\(425\) | −11.9226 | − | 6.88351i | −0.578330 | − | 0.333899i | ||||
\(426\) | −2.95093 | + | 7.28115i | −0.142973 | + | 0.352773i | ||||
\(427\) | −2.56218 | + | 9.56218i | −0.123992 | + | 0.462746i | ||||
\(428\) | 5.09505 | 0.246278 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.98076 | −0.240194 | ||||||||
\(431\) | 9.79282 | − | 36.5473i | 0.471704 | − | 1.76042i | −0.161944 | − | 0.986800i | \(-0.551776\pi\) |
0.633648 | − | 0.773622i | \(-0.281557\pi\) | |||||||
\(432\) | −13.6951 | + | 18.7218i | −0.658905 | + | 0.900754i | ||||
\(433\) | 26.8923 | + | 15.5263i | 1.29236 | + | 0.746145i | 0.979072 | − | 0.203512i | \(-0.0652357\pi\) |
0.313289 | + | 0.949658i | \(0.398569\pi\) | |||||||
\(434\) | −5.24796 | − | 5.24796i | −0.251910 | − | 0.251910i | ||||
\(435\) | −14.9218 | − | 11.2697i | −0.715445 | − | 0.540339i | ||||
\(436\) | 4.83013 | − | 1.29423i | 0.231321 | − | 0.0619823i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 3.29519 | − | 0.459481i | 0.157450 | − | 0.0219548i | ||||
\(439\) | −1.09808 | + | 0.633975i | −0.0524083 | + | 0.0302580i | −0.525975 | − | 0.850500i | \(-0.676300\pi\) |
0.473567 | + | 0.880758i | \(0.342966\pi\) | |||||||
\(440\) | 15.6114 | + | 4.18307i | 0.744247 | + | 0.199420i | ||||
\(441\) | −14.5466 | − | 3.66025i | −0.692694 | − | 0.174298i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 11.2195i | 0.533054i | 0.963827 | + | 0.266527i | \(0.0858762\pi\) | ||||
−0.963827 | + | 0.266527i | \(0.914124\pi\) | |||||||
\(444\) | 2.31508 | − | 0.979744i | 0.109869 | − | 0.0464966i | ||||
\(445\) | 7.02628 | + | 12.1699i | 0.333078 | + | 0.576907i | ||||
\(446\) | −19.5092 | + | 33.7909i | −0.923787 | + | 1.60005i | ||||
\(447\) | 14.8382 | + | 1.83816i | 0.701821 | + | 0.0869422i | ||||
\(448\) | 2.43782 | + | 9.09808i | 0.115176 | + | 0.429844i | ||||
\(449\) | 5.32441 | + | 19.8710i | 0.251275 | + | 0.937769i | 0.970125 | + | 0.242605i | \(0.0780018\pi\) |
−0.718851 | + | 0.695165i | \(0.755331\pi\) | |||||||
\(450\) | −6.33434 | − | 10.5939i | −0.298603 | − | 0.499400i | ||||
\(451\) | −11.5622 | + | 20.0263i | −0.544442 | + | 0.943001i | ||||
\(452\) | −1.37820 | − | 2.38711i | −0.0648251 | − | 0.112280i | ||||
\(453\) | −0.511599 | − | 1.20888i | −0.0240370 | − | 0.0567981i | ||||
\(454\) | 30.5359i | 1.43312i | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −10.7321 | − | 13.7670i | −0.502574 | − | 0.644700i | ||||
\(457\) | 3.76795 | + | 1.00962i | 0.176257 | + | 0.0472280i | 0.345868 | − | 0.938283i | \(-0.387584\pi\) |
−0.169611 | + | 0.985511i | \(0.554251\pi\) | |||||||
\(458\) | −26.0514 | + | 15.0408i | −1.21730 | + | 0.702809i | ||||
\(459\) | −26.0314 | − | 2.82130i | −1.21504 | − | 0.131687i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 20.5461 | − | 5.50531i | 0.956927 | − | 0.256408i | 0.253628 | − | 0.967302i | \(-0.418376\pi\) |
0.703299 | + | 0.710894i | \(0.251710\pi\) | |||||||
\(462\) | 9.14708 | − | 12.1113i | 0.425561 | − | 0.563471i | ||||
\(463\) | 23.0526 | + | 23.0526i | 1.07134 | + | 1.07134i | 0.997251 | + | 0.0740918i | \(0.0236058\pi\) |
0.0740918 | + | 0.997251i | \(0.476394\pi\) | |||||||
\(464\) | −27.7149 | − | 16.0012i | −1.28663 | − | 0.742838i | ||||
\(465\) | 8.42417 | + | 3.41417i | 0.390661 | + | 0.158328i | ||||
\(466\) | 6.80385 | − | 25.3923i | 0.315182 | − | 1.17628i | ||||
\(467\) | −19.1679 | −0.886984 | −0.443492 | − | 0.896278i | \(-0.646261\pi\) | ||||
−0.443492 | + | 0.896278i | \(0.646261\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −8.39230 | −0.387521 | ||||||||
\(470\) | −3.53595 | + | 13.1963i | −0.163101 | + | 0.608702i | ||||
\(471\) | 7.71127 | + | 3.12525i | 0.355317 | + | 0.144004i | ||||
\(472\) | 6.80385 | + | 3.92820i | 0.313172 | + | 0.180810i | ||||
\(473\) | −6.38929 | − | 6.38929i | −0.293780 | − | 0.293780i | ||||
\(474\) | −3.14407 | + | 4.16296i | −0.144412 | + | 0.191211i | ||||
\(475\) | 10.1962 | − | 2.73205i | 0.467832 | − | 0.125355i | ||||
\(476\) | 1.35022 | − | 1.35022i | 0.0618871 | − | 0.0618871i | ||||
\(477\) | −1.62819 | + | 1.67877i | −0.0745496 | + | 0.0768655i | ||||
\(478\) | 12.1699 | − | 7.02628i | 0.556637 | − | 0.321375i | ||||
\(479\) | −19.8710 | − | 5.32441i | −0.907928 | − | 0.243279i | −0.225510 | − | 0.974241i | \(-0.572405\pi\) |
−0.682418 | + | 0.730962i | \(0.739072\pi\) | |||||||
\(480\) | 2.41510 | + | 3.09808i | 0.110234 | + | 0.141407i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 21.9243i | 0.998624i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.794229 | − | 1.37564i | −0.0361013 | − | 0.0625293i | ||||
\(485\) | 1.27376 | − | 2.20622i | 0.0578385 | − | 0.100179i | ||||
\(486\) | −19.1572 | − | 13.5688i | −0.868990 | − | 0.615492i | ||||
\(487\) | −1.49038 | − | 5.56218i | −0.0675356 | − | 0.252046i | 0.923902 | − | 0.382630i | \(-0.124982\pi\) |
−0.991437 | + | 0.130584i | \(0.958315\pi\) | |||||||
\(488\) | −4.72576 | − | 17.6368i | −0.213925 | − | 0.798379i | ||||
\(489\) | −7.11819 | − | 0.881808i | −0.321896 | − | 0.0398767i | ||||
\(490\) | −5.66987 | + | 9.82051i | −0.256139 | + | 0.443645i | ||||
\(491\) | 14.2612 | + | 24.7012i | 0.643600 | + | 1.11475i | 0.984623 | + | 0.174693i | \(0.0558934\pi\) |
−0.341023 | + | 0.940055i | \(0.610773\pi\) | |||||||
\(492\) | −2.40216 | + | 1.01660i | −0.108298 | + | 0.0458317i | ||||
\(493\) | − | 36.1244i | − | 1.62696i | ||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −4.53590 | + | 18.0265i | −0.203873 | + | 0.810233i | ||||
\(496\) | 15.0263 | + | 4.02628i | 0.674700 | + | 0.180785i | ||||
\(497\) | −3.68886 | + | 2.12976i | −0.165468 | + | 0.0955330i | ||||
\(498\) | −10.6292 | + | 1.48214i | −0.476306 | + | 0.0664161i | ||||
\(499\) | −2.46410 | + | 2.46410i | −0.110308 | + | 0.110308i | −0.760107 | − | 0.649798i | \(-0.774853\pi\) |
0.649798 | + | 0.760107i | \(0.274853\pi\) | |||||||
\(500\) | −3.01375 | + | 0.807533i | −0.134779 | + | 0.0361140i | ||||
\(501\) | 18.5839 | + | 14.0354i | 0.830266 | + | 0.627057i | ||||
\(502\) | −1.05256 | − | 1.05256i | −0.0469780 | − | 0.0469780i | ||||
\(503\) | 2.83286 | + | 1.63555i | 0.126311 | + | 0.0729256i | 0.561824 | − | 0.827257i | \(-0.310100\pi\) |
−0.435513 | + | 0.900182i | \(0.643433\pi\) | |||||||
\(504\) | −10.6444 | + | 3.02738i | −0.474141 | + | 0.134850i | ||||
\(505\) | 2.34936 | − | 8.76795i | 0.104545 | − | 0.390169i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.44486 | 0.108473 | ||||||||
\(509\) | −3.79330 | + | 14.1568i | −0.168135 | + | 0.627489i | 0.829484 | + | 0.558530i | \(0.188634\pi\) |
−0.997620 | + | 0.0689588i | \(0.978032\pi\) | |||||||
\(510\) | −7.43497 | + | 18.3451i | −0.329226 | + | 0.812337i | ||||
\(511\) | 1.56218 | + | 0.901924i | 0.0691067 | + | 0.0398988i | ||||
\(512\) | −11.7137 | − | 11.7137i | −0.517678 | − | 0.517678i | ||||
\(513\) | 15.6431 | − | 12.5839i | 0.690661 | − | 0.555591i | ||||
\(514\) | 31.2846 | − | 8.38269i | 1.37990 | − | 0.369744i | ||||
\(515\) | −7.37772 | + | 7.37772i | −0.325101 | + | 0.325101i | ||||
\(516\) | −0.140760 | − | 1.00947i | −0.00619663 | − | 0.0444395i | ||||
\(517\) | −21.4641 | + | 12.3923i | −0.943990 | + | 0.545013i | ||||
\(518\) | 11.1430 | + | 2.98577i | 0.489597 | + | 0.131187i | ||||
\(519\) | 23.8452 | − | 18.5885i | 1.04669 | − | 0.815943i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 2.49155i | 0.109157i | 0.998509 | + | 0.0545785i | \(0.0173815\pi\) | ||||
−0.998509 | + | 0.0545785i | \(0.982618\pi\) | |||||||
\(522\) | 15.7633 | − | 28.2934i | 0.689939 | − | 1.23837i | ||||
\(523\) | 19.4904 | + | 33.7583i | 0.852255 | + | 1.47615i | 0.879169 | + | 0.476511i | \(0.158099\pi\) |
−0.0269137 | + | 0.999638i | \(0.508568\pi\) | |||||||
\(524\) | −1.06488 | + | 1.84443i | −0.0465196 | + | 0.0805743i | ||||
\(525\) | 0.822738 | − | 6.64136i | 0.0359072 | − | 0.289853i | ||||
\(526\) | −8.68653 | − | 32.4186i | −0.378751 | − | 1.41352i | ||||
\(527\) | 4.54486 | + | 16.9617i | 0.197977 | + | 0.738862i | ||||
\(528\) | −3.91108 | + | 31.5713i | −0.170208 | + | 1.37397i | ||||
\(529\) | 11.5000 | − | 19.9186i | 0.500000 | − | 0.866025i | ||||
\(530\) | 0.883988 | + | 1.53111i | 0.0383980 | + | 0.0665072i | ||||
\(531\) | −4.39771 | + | 7.89343i | −0.190845 | + | 0.342546i | ||||
\(532\) | 1.46410i | 0.0634769i | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −19.1962 | + | 14.9643i | −0.830699 | + | 0.647570i | ||||
\(535\) | −27.6603 | − | 7.41154i | −1.19586 | − | 0.320429i | ||||
\(536\) | 13.4052 | − | 7.73951i | 0.579018 | − | 0.334296i | ||||
\(537\) | 6.34978 | + | 45.5378i | 0.274013 | + | 1.96510i | ||||
\(538\) | 15.2679 | − | 15.2679i | 0.658248 | − | 0.658248i | ||||
\(539\) | −19.8710 | + | 5.32441i | −0.855904 | + | 0.229339i | ||||
\(540\) | −1.63376 | + | 1.31425i | −0.0703060 | + | 0.0565565i | ||||
\(541\) | −12.6865 | − | 12.6865i | −0.545437 | − | 0.545437i | 0.379681 | − | 0.925118i | \(-0.376034\pi\) |
−0.925118 | + | 0.379681i | \(0.876034\pi\) | |||||||
\(542\) | 10.0782 | + | 5.81863i | 0.432894 | + | 0.249931i | ||||
\(543\) | 1.95171 | − | 4.81568i | 0.0837561 | − | 0.206661i | ||||
\(544\) | −1.96410 | + | 7.33013i | −0.0842102 | + | 0.314277i | ||||
\(545\) | −28.1047 | −1.20387 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2.00000 | 0.0855138 | 0.0427569 | − | 0.999086i | \(-0.486386\pi\) | ||||
0.0427569 | + | 0.999086i | \(0.486386\pi\) | |||||||
\(548\) | −0.466229 | + | 1.73999i | −0.0199163 | + | 0.0743287i | ||||
\(549\) | 20.1990 | − | 5.74477i | 0.862070 | − | 0.245181i | ||||
\(550\) | −14.6603 | − | 8.46410i | −0.625115 | − | 0.360911i | ||||
\(551\) | 19.5856 | + | 19.5856i | 0.834376 | + | 0.834376i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.73205 | + | 0.732051i | −0.116179 | + | 0.0311300i | ||||
\(554\) | −29.3785 | + | 29.3785i | −1.24817 | + | 1.24817i | ||||
\(555\) | −13.9934 | + | 1.95124i | −0.593988 | + | 0.0828255i | ||||
\(556\) | 4.26795 | − | 2.46410i | 0.181001 | − | 0.104501i | ||||
\(557\) | −24.7292 | − | 6.62616i | −1.04781 | − | 0.280759i | −0.306462 | − | 0.951883i | \(-0.599145\pi\) |
−0.741346 | + | 0.671123i | \(0.765812\pi\) | |||||||
\(558\) | −3.84177 | + | 15.2679i | −0.162635 | + | 0.646344i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 9.50749i | 0.401765i | ||||||||
\(561\) | −33.0706 | + | 13.9955i | −1.39624 | + | 0.590891i | ||||
\(562\) | 12.9186 | + | 22.3756i | 0.544938 | + | 0.943860i | ||||
\(563\) | 5.03908 | − | 8.72794i | 0.212372 | − | 0.367839i | −0.740085 | − | 0.672514i | \(-0.765215\pi\) |
0.952456 | + | 0.304675i | \(0.0985479\pi\) | |||||||
\(564\) | −2.77449 | − | 0.343706i | −0.116827 | − | 0.0144726i | ||||
\(565\) | 4.00962 | + | 14.9641i | 0.168686 | + | 0.629544i | ||||
\(566\) | −2.56801 | − | 9.58394i | −0.107941 | − | 0.402843i | ||||
\(567\) | −3.66867 | − | 12.1877i | −0.154070 | − | 0.511837i | ||||
\(568\) | 3.92820 | − | 6.80385i | 0.164824 | − | 0.285483i | ||||
\(569\) | 1.35022 | + | 2.33864i | 0.0566040 | + | 0.0980411i | 0.892939 | − | 0.450178i | \(-0.148639\pi\) |
−0.836335 | + | 0.548219i | \(0.815306\pi\) | |||||||
\(570\) | −5.91520 | − | 13.9773i | −0.247760 | − | 0.585444i | ||||
\(571\) | 1.94744i | 0.0814979i | 0.999169 | + | 0.0407489i | \(0.0129744\pi\) | ||||
−0.999169 | + | 0.0407489i | \(0.987026\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 5.14359 | + | 6.59817i | 0.214877 | + | 0.275643i | ||||
\(574\) | −11.5622 | − | 3.09808i | −0.482596 | − | 0.129311i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 13.9108 | − | 14.3429i | 0.579617 | − | 0.597623i | ||||
\(577\) | −22.4904 | + | 22.4904i | −0.936287 | + | 0.936287i | −0.998088 | − | 0.0618016i | \(-0.980315\pi\) |
0.0618016 | + | 0.998088i | \(0.480315\pi\) | |||||||
\(578\) | −12.2079 | + | 3.27110i | −0.507783 | + | 0.136060i | ||||
\(579\) | 0.144785 | − | 0.191705i | 0.00601707 | − | 0.00796700i | ||||
\(580\) | −2.04552 | − | 2.04552i | −0.0849355 | − | 0.0849355i | ||||
\(581\) | −5.03908 | − | 2.90931i | −0.209056 | − | 0.120699i | ||||
\(582\) | 4.08936 | + | 1.65735i | 0.169509 | + | 0.0686992i | ||||
\(583\) | −0.830127 | + | 3.09808i | −0.0343803 | + | 0.128309i | ||||
\(584\) | −3.32707 | −0.137675 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.71281 | 0.112065 | ||||||||
\(587\) | −4.83020 | + | 18.0265i | −0.199364 | + | 0.744035i | 0.791730 | + | 0.610871i | \(0.209181\pi\) |
−0.991094 | + | 0.133164i | \(0.957486\pi\) | |||||||
\(588\) | −2.15060 | − | 0.871601i | −0.0886892 | − | 0.0359442i | ||||
\(589\) | −11.6603 | − | 6.73205i | −0.480452 | − | 0.277389i | ||||
\(590\) | 4.83020 | + | 4.83020i | 0.198856 | + | 0.198856i | ||||
\(591\) | −4.29488 | + | 5.68671i | −0.176668 | + | 0.233920i | ||||
\(592\) | −23.3564 | + | 6.25833i | −0.959942 | + | 0.257216i | ||||
\(593\) | 10.3635 | − | 10.3635i | 0.425578 | − | 0.425578i | −0.461541 | − | 0.887119i | \(-0.652703\pi\) |
0.887119 | + | 0.461541i | \(0.152703\pi\) | |||||||
\(594\) | −32.0087 | − | 3.46913i | −1.31333 | − | 0.142340i | ||||
\(595\) | −9.29423 | + | 5.36603i | −0.381026 | + | 0.219986i | ||||
\(596\) | 2.23420 | + | 0.598653i | 0.0915166 | + | 0.0245218i | ||||
\(597\) | 13.7670 | + | 17.6603i | 0.563446 | + | 0.722786i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 20.7270i | − | 0.846881i | −0.905924 | − | 0.423441i | \(-0.860822\pi\) | ||
0.905924 | − | 0.423441i | \(-0.139178\pi\) | |||||||
\(600\) | 4.81059 | + | 11.3671i | 0.196391 | + | 0.464062i | ||||
\(601\) | −11.7942 | − | 20.4282i | −0.481097 | − | 0.833284i | 0.518668 | − | 0.854976i | \(-0.326428\pi\) |
−0.999765 | + | 0.0216919i | \(0.993095\pi\) | |||||||
\(602\) | 2.33864 | − | 4.05065i | 0.0953160 | − | 0.165092i | ||||
\(603\) | 9.13612 | + | 15.2797i | 0.372052 | + | 0.622238i | ||||
\(604\) | −0.0525589 | − | 0.196152i | −0.00213859 | − | 0.00798133i | ||||
\(605\) | 2.31066 | + | 8.62350i | 0.0939417 | + | 0.350595i | ||||
\(606\) | 15.6030 | + | 1.93291i | 0.633828 | + | 0.0785192i | ||||
\(607\) | 0.0980762 | − | 0.169873i | 0.00398079 | − | 0.00689493i | −0.864028 | − | 0.503444i | \(-0.832066\pi\) |
0.868009 | + | 0.496549i | \(0.165400\pi\) | |||||||
\(608\) | −2.90931 | − | 5.03908i | −0.117988 | − | 0.204362i | ||||
\(609\) | 16.1715 | − | 6.84378i | 0.655301 | − | 0.277324i | ||||
\(610\) | − | 15.8756i | − | 0.642786i | ||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −3.92820 | − | 0.988427i | −0.158788 | − | 0.0399548i | ||||
\(613\) | 42.3827 | + | 11.3564i | 1.71182 | + | 0.458681i | 0.975870 | − | 0.218354i | \(-0.0700687\pi\) |
0.735951 | + | 0.677035i | \(0.236735\pi\) | |||||||
\(614\) | 15.4790 | − | 8.93682i | 0.624683 | − | 0.360661i | ||||
\(615\) | 14.5198 | − | 2.02463i | 0.585494 | − | 0.0816411i | ||||
\(616\) | −10.7321 | + | 10.7321i | −0.432407 | + | 0.432407i | ||||
\(617\) | 17.8457 | − | 4.78173i | 0.718439 | − | 0.192505i | 0.118964 | − | 0.992899i | \(-0.462043\pi\) |
0.599475 | + | 0.800393i | \(0.295376\pi\) | |||||||
\(618\) | −14.4209 | − | 10.8914i | −0.580094 | − | 0.438115i | ||||
\(619\) | −31.6603 | − | 31.6603i | −1.27253 | − | 1.27253i | −0.944755 | − | 0.327778i | \(-0.893700\pi\) |
−0.327778 | − | 0.944755i | \(-0.606300\pi\) | |||||||
\(620\) | 1.21779 | + | 0.703093i | 0.0489077 | + | 0.0282369i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 3.92820 | − | 14.6603i | 0.157507 | − | 0.587823i | ||||
\(623\) | −13.1963 | −0.528701 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.87564 | 0.155026 | ||||||||
\(626\) | 0.779548 | − | 2.90931i | 0.0311570 | − | 0.116280i | ||||
\(627\) | 10.3420 | − | 25.5180i | 0.413019 | − | 1.01909i | ||||
\(628\) | 1.11474 | + | 0.643594i | 0.0444828 | + | 0.0256822i | ||||
\(629\) | −19.3003 | − | 19.3003i | −0.769554 | − | 0.769554i | ||||
\(630\) | −9.62097 | + | 0.147150i | −0.383309 | + | 0.00586260i | ||||
\(631\) | −21.3923 | + | 5.73205i | −0.851614 | + | 0.228189i | −0.658121 | − | 0.752912i | \(-0.728648\pi\) |
−0.193493 | + | 0.981102i | \(0.561982\pi\) | |||||||
\(632\) | 3.68886 | − | 3.68886i | 0.146735 | − | 0.146735i | ||||
\(633\) | −0.431485 | − | 3.09442i | −0.0171500 | − | 0.122992i | ||||
\(634\) | −20.9378 | + | 12.0885i | −0.831547 | + | 0.480094i | ||||
\(635\) | −13.2728 | − | 3.55644i | −0.526715 | − | 0.141133i | ||||
\(636\) | −0.285334 | + | 0.222432i | −0.0113142 | + | 0.00882000i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | − | 44.4192i | − | 1.75857i | ||||||
\(639\) | 7.89343 | + | 4.39771i | 0.312259 | + | 0.173971i | ||||
\(640\) | −9.82051 | − | 17.0096i | −0.388190 | − | 0.672364i | ||||
\(641\) | −22.6758 | + | 39.2757i | −0.895642 | + | 1.55130i | −0.0626345 | + | 0.998037i | \(0.519950\pi\) |
−0.833008 | + | 0.553261i | \(0.813383\pi\) | |||||||
\(642\) | 6.09776 | − | 49.2228i | 0.240659 | − | 1.94267i | ||||
\(643\) | −1.87564 | − | 7.00000i | −0.0739682 | − | 0.276053i | 0.919029 | − | 0.394190i | \(-0.128975\pi\) |
−0.992997 | + | 0.118136i | \(0.962308\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.704266 | + | 5.68503i | −0.0277305 | + | 0.223848i | ||||
\(646\) | 14.6603 | − | 25.3923i | 0.576800 | − | 0.999047i | ||||
\(647\) | 8.23373 | + | 14.2612i | 0.323701 | + | 0.560667i | 0.981249 | − | 0.192746i | \(-0.0617394\pi\) |
−0.657547 | + | 0.753413i | \(0.728406\pi\) | |||||||
\(648\) | 17.0998 | + | 16.0844i | 0.671742 | + | 0.631857i | ||||
\(649\) | 12.3923i | 0.486441i | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −6.73205 | + | 5.24796i | −0.263850 | + | 0.205684i | ||||
\(652\) | −1.07180 | − | 0.287187i | −0.0419748 | − | 0.0112471i | ||||
\(653\) | −8.36615 | + | 4.83020i | −0.327393 | + | 0.189020i | −0.654683 | − | 0.755904i | \(-0.727198\pi\) |
0.327290 | + | 0.944924i | \(0.393865\pi\) | |||||||
\(654\) | −6.72272 | − | 48.2123i | −0.262879 | − | 1.88525i | ||||
\(655\) | 8.46410 | − | 8.46410i | 0.330720 | − | 0.330720i | ||||
\(656\) | 24.2349 | − | 6.49373i | 0.946216 | − | 0.253538i | ||||
\(657\) | −0.0585190 | − | 3.82609i | −0.00228304 | − | 0.149270i | ||||
\(658\) | −9.07180 | − | 9.07180i | −0.353655 | − | 0.353655i | ||||
\(659\) | 23.4834 | + | 13.5581i | 0.914783 | + | 0.528150i | 0.881967 | − | 0.471311i | \(-0.156219\pi\) |
0.0328158 | + | 0.999461i | \(0.489553\pi\) | |||||||
\(660\) | −1.08011 | + | 2.66509i | −0.0420434 | + | 0.103738i | ||||
\(661\) | −2.52628 | + | 9.42820i | −0.0982609 | + | 0.366715i | −0.997494 | − | 0.0707559i | \(-0.977459\pi\) |
0.899233 | + | 0.437470i | \(0.144126\pi\) | |||||||
\(662\) | 51.5321 | 2.00285 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 10.7321 | 0.416484 | ||||||||
\(665\) | 2.12976 | − | 7.94839i | 0.0825887 | − | 0.308225i | ||||
\(666\) | −6.69452 | − | 23.5383i | −0.259408 | − | 0.912092i | ||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 2.54752 | + | 2.54752i | 0.0985666 | + | 0.0985666i | ||||
\(669\) | 35.8103 | + | 27.0457i | 1.38451 | + | 1.04565i | ||||
\(670\) | 13.0000 | − | 3.48334i | 0.502234 | − | 0.134573i | ||||
\(671\) | 20.3652 | − | 20.3652i | 0.786189 | − | 0.786189i | ||||
\(672\) | −3.65351 | + | 0.509445i | −0.140937 | + | 0.0196523i | ||||
\(673\) | 36.9904 | − | 21.3564i | 1.42587 | − | 0.823229i | 0.429082 | − | 0.903265i | \(-0.358837\pi\) |
0.996792 | + | 0.0800364i | \(0.0255036\pi\) | |||||||
\(674\) | −26.8589 | − | 7.19683i | −1.03457 | − | 0.277211i | ||||
\(675\) | −12.9875 | + | 5.73205i | −0.499888 | + | 0.220627i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − | 9.66040i | − | 0.371279i | −0.982618 | − | 0.185640i | \(-0.940564\pi\) | ||
0.982618 | − | 0.185640i | \(-0.0594357\pi\) | |||||||
\(678\) | −24.7111 | + | 10.4578i | −0.949025 | + | 0.401628i | ||||
\(679\) | 1.19615 | + | 2.07180i | 0.0459041 | + | 0.0795083i | ||||
\(680\) | 9.89726 | − | 17.1426i | 0.379543 | − | 0.657387i | ||||
\(681\) | 34.8536 | + | 4.31769i | 1.33559 | + | 0.165454i | ||||
\(682\) | 5.58846 | + | 20.8564i | 0.213993 | + | 0.798633i | ||||
\(683\) | −12.1315 | − | 45.2752i | −0.464198 | − | 1.73241i | −0.659536 | − | 0.751673i | \(-0.729247\pi\) |
0.195338 | − | 0.980736i | \(-0.437420\pi\) | |||||||
\(684\) | 2.66566 | − | 1.59387i | 0.101924 | − | 0.0609430i | ||||
\(685\) | 5.06218 | − | 8.76795i | 0.193416 | − | 0.335006i | ||||
\(686\) | −12.7786 | − | 22.1332i | −0.487889 | − | 0.845048i | ||||
\(687\) | 13.4839 | + | 31.8617i | 0.514443 | + | 1.21560i | ||||
\(688\) | 9.80385i | 0.373768i | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −18.2224 | − | 4.88269i | −0.693214 | − | 0.185746i | −0.105025 | − | 0.994470i | \(-0.533492\pi\) |
−0.588189 | + | 0.808723i | \(0.700159\pi\) | |||||||
\(692\) | 4.05065 | − | 2.33864i | 0.153983 | − | 0.0889019i | ||||
\(693\) | −12.5305 | − | 12.1530i | −0.475994 | − | 0.461653i | ||||
\(694\) | −21.9090 | + | 21.9090i | −0.831653 | + | 0.831653i | ||||
\(695\) | −26.7545 | + | 7.16884i | −1.01486 | + | 0.271930i | ||||
\(696\) | −19.5196 | + | 25.8453i | −0.739890 | + | 0.979664i | ||||
\(697\) | 20.0263 | + | 20.0263i | 0.758549 | + | 0.758549i | ||||
\(698\) | 37.1180 | + | 21.4301i | 1.40494 | + | 0.811140i | ||||
\(699\) | −28.0207 | − | 11.3563i | −1.05984 | − | 0.429535i | ||||
\(700\) | 0.267949 | − | 1.00000i | 0.0101275 | − | 0.0377964i | ||||
\(701\) | 12.7786 | 0.482641 | 0.241320 | − | 0.970446i | \(-0.422420\pi\) | ||||
0.241320 | + | 0.970446i | \(0.422420\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 20.9282 | 0.789322 | ||||||||
\(704\) | 7.09239 | − | 26.4692i | 0.267304 | − | 0.997594i | ||||
\(705\) | 14.5623 | + | 5.90185i | 0.548448 | + | 0.222277i | ||||
\(706\) | 18.4474 | + | 10.6506i | 0.694279 | + | 0.400842i | ||||
\(707\) | 6.02751 | + | 6.02751i | 0.226688 | + | 0.226688i | ||||
\(708\) | −0.842451 | + | 1.11546i | −0.0316612 | + | 0.0419216i | ||||
\(709\) | 11.3301 | − | 3.03590i | 0.425512 | − | 0.114016i | −0.0397068 | − | 0.999211i | \(-0.512642\pi\) |
0.465219 | + | 0.885196i | \(0.345976\pi\) | |||||||
\(710\) | 4.83020 | − | 4.83020i | 0.181274 | − | 0.181274i | ||||
\(711\) | 4.30703 | + | 4.17726i | 0.161526 | + | 0.156660i | ||||
\(712\) | 21.0788 | − | 12.1699i | 0.789963 | − | 0.456085i | ||||
\(713\) | 0 | 0 | ||||||||
\(714\) | −11.4284 | − | 14.6603i | −0.427696 | − | 0.548646i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 7.11287i | 0.265821i | ||||||||
\(717\) | −6.29899 | − | 14.8842i | −0.235240 | − | 0.555859i | ||||
\(718\) | −19.4186 | − | 33.6340i | −0.724695 | − | 1.25521i | ||||
\(719\) | 3.68886 | − | 6.38929i | 0.137571 | − | 0.238280i | −0.789005 | − | 0.614386i | \(-0.789404\pi\) |
0.926577 | + | 0.376106i | \(0.122737\pi\) | |||||||
\(720\) | 17.3101 | − | 10.3501i | 0.645110 | − | 0.385727i | ||||
\(721\) | −2.53590 | − | 9.46410i | −0.0944418 | − | 0.352462i | ||||
\(722\) | −1.58708 | − | 5.92307i | −0.0590650 | − | 0.220434i | ||||
\(723\) | 25.0243 | + | 3.10003i | 0.930665 | + | 0.115292i | ||||
\(724\) | 0.401924 | − | 0.696152i | 0.0149374 | − | 0.0258723i | ||||
\(725\) | −9.79282 | − | 16.9617i | −0.363696 | − | 0.629940i | ||||
\(726\) | −14.2405 | + | 6.02659i | −0.528515 | + | 0.223668i | ||||
\(727\) | − | 19.5167i | − | 0.723833i | −0.932211 | − | 0.361916i | \(-0.882123\pi\) | ||
0.932211 | − | 0.361916i | \(-0.117877\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −18.1962 | + | 19.9474i | −0.673932 | + | 0.738794i | ||||
\(730\) | −2.79423 | − | 0.748711i | −0.103419 | − | 0.0277110i | ||||
\(731\) | −9.58394 | + | 5.53329i | −0.354475 | + | 0.204656i | ||||
\(732\) | 3.21758 | − | 0.448659i | 0.118925 | − | 0.0165829i | ||||
\(733\) | −6.77757 | + | 6.77757i | −0.250335 | + | 0.250335i | −0.821108 | − | 0.570773i | \(-0.806644\pi\) |
0.570773 | + | 0.821108i | \(0.306644\pi\) | |||||||
\(734\) | −44.2104 | + | 11.8461i | −1.63183 | + | 0.437249i | ||||
\(735\) | 10.4074 | + | 7.86017i | 0.383883 | + | 0.289927i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 21.1447 | + | 12.2079i | 0.778876 | + | 0.449685i | ||||
\(738\) | 6.94633 | + | 24.4237i | 0.255698 | + | 0.899049i | ||||
\(739\) | 2.98076 | − | 11.1244i | 0.109649 | − | 0.409216i | −0.889182 | − | 0.457554i | \(-0.848726\pi\) |
0.998831 | + | 0.0483378i | \(0.0153924\pi\) | |||||||
\(740\) | −2.18573 | −0.0803492 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.66025 | −0.0609498 | ||||||||
\(743\) | 2.28268 | − | 8.51906i | 0.0837432 | − | 0.312534i | −0.911330 | − | 0.411677i | \(-0.864943\pi\) |
0.995073 | + | 0.0991426i | \(0.0316100\pi\) | |||||||
\(744\) | 5.91352 | − | 14.5911i | 0.216800 | − | 0.534935i | ||||
\(745\) | −11.2583 | − | 6.50000i | −0.412473 | − | 0.238142i | ||||
\(746\) | 12.3403 | + | 12.3403i | 0.451812 | + | 0.451812i | ||||
\(747\) | 0.188763 | + | 12.3417i | 0.00690649 | + | 0.451560i | ||||
\(748\) | −5.36603 | + | 1.43782i | −0.196201 | + | 0.0525720i | ||||
\(749\) | 19.0150 | − | 19.0150i | 0.694792 | − | 0.694792i | ||||
\(750\) | 4.19463 | + | 30.0820i | 0.153166 | + | 1.09844i | ||||
\(751\) | 29.2750 | − | 16.9019i | 1.06826 | − | 0.616760i | 0.140554 | − | 0.990073i | \(-0.455112\pi\) |
0.927705 | + | 0.373313i | \(0.121778\pi\) | |||||||
\(752\) | 25.9749 | + | 6.95996i | 0.947208 | + | 0.253804i | ||||
\(753\) | −1.35022 | + | 1.05256i | −0.0492046 | + | 0.0383574i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 1.14134i | 0.0415375i | ||||||||
\(756\) | −0.301720 | − | 1.94576i | −0.0109735 | − | 0.0707667i | ||||
\(757\) | −8.39230 | − | 14.5359i | −0.305024 | − | 0.528316i | 0.672243 | − | 0.740331i | \(-0.265331\pi\) |
−0.977267 | + | 0.212014i | \(0.931998\pi\) | |||||||
\(758\) | −11.1430 | + | 19.3003i | −0.404733 | + | 0.701019i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.92820 | + | 14.6603i | 0.142491 | + | 0.531783i | ||||
\(761\) | −4.75374 | − | 17.7412i | −0.172323 | − | 0.643118i | −0.996992 | − | 0.0775029i | \(-0.975305\pi\) |
0.824669 | − | 0.565616i | \(-0.191361\pi\) | |||||||
\(762\) | 2.92602 | − | 23.6196i | 0.105998 | − | 0.855647i | ||||
\(763\) | 13.1962 | − | 22.8564i | 0.477733 | − | 0.827457i | ||||
\(764\) | 0.647124 | + | 1.12085i | 0.0234121 | + | 0.0405510i | ||||
\(765\) | 19.8878 | + | 11.0802i | 0.719045 | + | 0.400606i | ||||
\(766\) | − | 49.5692i | − | 1.79101i | ||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 8.63397 | − | 6.73060i | 0.311552 | − | 0.242870i | ||||
\(769\) | 40.4186 | + | 10.8301i | 1.45753 | + | 0.390544i | 0.898636 | − | 0.438694i | \(-0.144559\pi\) |
0.558895 | + | 0.829238i | \(0.311225\pi\) | |||||||
\(770\) | −11.4284 | + | 6.59817i | −0.411850 | + | 0.237782i | ||||
\(771\) | −5.14442 | − | 36.8935i | −0.185272 | − | 1.32869i | ||||
\(772\) | 0.0262794 | − | 0.0262794i | 0.000945818 | − | 0.000945818i | ||||
\(773\) | −41.5864 | + | 11.1430i | −1.49576 | + | 0.400787i | −0.911677 | − | 0.410908i | \(-0.865212\pi\) |
−0.584081 | + | 0.811695i | \(0.698545\pi\) | |||||||
\(774\) | −9.92087 | + | 0.151737i | −0.356598 | + | 0.00545407i | ||||
\(775\) | 6.73205 | + | 6.73205i | 0.241822 | + | 0.241822i | ||||
\(776\) | −3.82129 | − | 2.20622i | −0.137176 | − | 0.0791987i | ||||
\(777\) | 4.98354 | − | 12.2965i | 0.178784 | − | 0.441133i | ||||
\(778\) | 8.76795 | − | 32.7224i | 0.314346 | − | 1.17316i | ||||
\(779\) | −21.7154 | −0.778035 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 12.3923 | 0.443432 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −30.0651 | − | 21.9928i | −1.07444 | − | 0.785957i | ||||
\(784\) | 19.3301 | + | 11.1603i | 0.690362 | + | 0.398581i | ||||
\(785\) | −5.11553 | − | 5.11553i | −0.182581 | − | 0.182581i | ||||
\(786\) | 16.5444 | + | 12.4951i | 0.590120 | + | 0.445687i | ||||
\(787\) | −16.0263 | + | 4.29423i | −0.571275 | + | 0.153073i | −0.532881 | − | 0.846190i | \(-0.678891\pi\) |
−0.0383938 | + | 0.999263i | \(0.512224\pi\) | |||||||
\(788\) | −0.779548 | + | 0.779548i | −0.0277702 | + | 0.0277702i | ||||
\(789\) | −38.2307 | + | 5.33089i | −1.36105 | + | 0.189785i | ||||
\(790\) | 3.92820 | − | 2.26795i | 0.139759 | − | 0.0806900i | ||||
\(791\) | −14.0524 | − | 3.76532i | −0.499644 | − | 0.133879i | ||||
\(792\) | 31.2229 | + | 7.85641i | 1.10946 | + | 0.279165i | ||||
\(793\) | 0 | 0 | ||||||||
\(794\) | − | 20.7270i | − | 0.735573i | ||||||
\(795\) | 1.87260 | − | 0.792486i | 0.0664143 | − | 0.0281066i | ||||
\(796\) | 1.73205 | + | 3.00000i | 0.0613909 | + | 0.106332i | ||||
\(797\) | 20.1563 | − | 34.9118i | 0.713973 | − | 1.23664i | −0.249381 | − | 0.968405i | \(-0.580227\pi\) |
0.963354 | − | 0.268232i | \(-0.0864395\pi\) | |||||||
\(798\) | 14.1445 | + | 1.75224i | 0.500711 | + | 0.0620286i | ||||
\(799\) | 7.85641 | + | 29.3205i | 0.277940 | + | 1.03729i | ||||
\(800\) | 1.06488 | + | 3.97420i | 0.0376493 | + | 0.140509i | ||||
\(801\) | 14.3660 | + | 24.0264i | 0.507596 | + | 0.848929i | ||||
\(802\) | 9.37564 | − | 16.2391i | 0.331066 | − | 0.573422i | ||||
\(803\) | −2.62398 | − | 4.54486i | −0.0925982 | − | 0.160385i | ||||
\(804\) | 1.07337 | + | 2.53632i | 0.0378550 | + | 0.0894491i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −15.2679 | − | 19.5856i | −0.537457 | − | 0.689447i | ||||
\(808\) | −15.1865 | − | 4.06922i | −0.534260 | − | 0.143155i | ||||
\(809\) | −24.0261 | + | 13.8715i | −0.844712 | + | 0.487694i | −0.858863 | − | 0.512205i | \(-0.828829\pi\) |
0.0141514 | + | 0.999900i | \(0.495495\pi\) | |||||||
\(810\) | 10.7416 | + | 17.3565i | 0.377421 | + | 0.609846i | ||||
\(811\) | 19.0000 | − | 19.0000i | 0.667180 | − | 0.667180i | −0.289882 | − | 0.957062i | \(-0.593616\pi\) |
0.957062 | + | 0.289882i | \(0.0936161\pi\) | |||||||
\(812\) | 2.62398 | − | 0.703093i | 0.0920836 | − | 0.0246737i | ||||
\(813\) | 8.06639 | − | 10.6804i | 0.282901 | − | 0.374579i | ||||
\(814\) | −23.7321 | − | 23.7321i | −0.831808 | − | 0.831808i | ||||
\(815\) | 5.40087 | + | 3.11819i | 0.189184 | + | 0.109226i | ||||
\(816\) | 36.1095 | + | 14.6346i | 1.26409 | + | 0.512313i | ||||
\(817\) | 2.19615 | − | 8.19615i | 0.0768336 | − | 0.286747i | ||||
\(818\) | −45.1988 | −1.58034 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2.26795 | 0.0792002 | ||||||||
\(821\) | 11.1430 | − | 41.5864i | 0.388895 | − | 1.45137i | −0.443040 | − | 0.896502i | \(-0.646100\pi\) |
0.831935 | − | 0.554873i | \(-0.187233\pi\) | |||||||
\(822\) | 16.2519 | + | 6.58662i | 0.566850 | + | 0.229735i | ||||
\(823\) | 7.39230 | + | 4.26795i | 0.257680 | + | 0.148771i | 0.623276 | − | 0.782002i | \(-0.285801\pi\) |
−0.365596 | + | 0.930774i | \(0.619135\pi\) | |||||||
\(824\) | 12.7786 | + | 12.7786i | 0.445163 | + | 0.445163i | ||||
\(825\) | −11.7338 | + | 15.5364i | −0.408519 | + | 0.540907i | ||||
\(826\) | −6.19615 | + | 1.66025i | −0.215592 | + | 0.0577676i | ||||
\(827\) | −31.7936 | + | 31.7936i | −1.10557 | + | 1.10557i | −0.111845 | + | 0.993726i | \(0.535676\pi\) |
−0.993726 | + | 0.111845i | \(0.964324\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −41.6769 | + | 24.0622i | −1.44750 | + | 0.835714i | −0.998332 | − | 0.0577338i | \(-0.981613\pi\) |
−0.449167 | + | 0.893448i | \(0.648279\pi\) | |||||||
\(830\) | 9.01327 | + | 2.41510i | 0.312855 | + | 0.0838293i | ||||
\(831\) | 29.3785 | + | 37.6865i | 1.01913 | + | 1.30733i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 25.1954i | 0.872968i | ||||||||
\(834\) | −18.6976 | − | 44.1813i | −0.647444 | − | 1.52987i | ||||
\(835\) | −10.1244 | − | 17.5359i | −0.350368 | − | 0.606855i | ||||
\(836\) | 2.12976 | − | 3.68886i | 0.0736595 | − | 0.127582i | ||||
\(837\) | 16.8836 | + | 6.54383i | 0.583582 | + | 0.226188i | ||||
\(838\) | −3.70577 | − | 13.8301i | −0.128014 | − | 0.477754i | ||||
\(839\) | 2.62398 | + | 9.79282i | 0.0905898 | + | 0.338086i | 0.996314 | − | 0.0857819i | \(-0.0273388\pi\) |
−0.905724 | + | 0.423868i | \(0.860672\pi\) | |||||||
\(840\) | 9.54910 | + | 1.18295i | 0.329475 | + | 0.0408157i | ||||
\(841\) | 11.1962 | − | 19.3923i | 0.386074 | − | 0.668700i | ||||
\(842\) | 8.33816 | + | 14.4421i | 0.287352 | + | 0.497708i | ||||
\(843\) | 27.3662 | − | 11.5814i | 0.942540 | − | 0.398884i | ||||
\(844\) | − | 0.483340i | − | 0.0166372i | ||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −6.64102 | + | 26.3927i | −0.228323 | + | 0.907400i | ||||
\(847\) | −8.09808 | − | 2.16987i | −0.278253 | − | 0.0745577i | ||||
\(848\) | 3.01375 | − | 1.73999i | 0.103493 | − | 0.0597515i | ||||
\(849\) | −11.3022 | + | 1.57598i | −0.387890 | + | 0.0540873i | ||||
\(850\) | −14.6603 | + | 14.6603i | −0.502843 | + | 0.502843i | ||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 1.11546 | + | 0.842451i | 0.0382151 | + | 0.0288619i | ||||
\(853\) | −22.3660 | − | 22.3660i | −0.765798 | − | 0.765798i | 0.211566 | − | 0.977364i | \(-0.432144\pi\) |
−0.977364 | + | 0.211566i | \(0.932144\pi\) | |||||||
\(854\) | 12.9110 | + | 7.45418i | 0.441806 | + | 0.255077i | ||||
\(855\) | −16.7900 | + | 4.77524i | −0.574207 | + | 0.163310i | ||||
\(856\) | −12.8372 | + | 47.9090i | −0.438765 | + | 1.63749i | ||||
\(857\) | 3.32707 | 0.113651 | 0.0568253 | − | 0.998384i | \(-0.481902\pi\) | ||||
0.0568253 | + | 0.998384i | \(0.481902\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 39.1769 | 1.33670 | 0.668350 | − | 0.743847i | \(-0.267001\pi\) | ||||
0.668350 | + | 0.743847i | \(0.267001\pi\) | |||||||
\(860\) | −0.229365 | + | 0.856003i | −0.00782129 | + | 0.0291895i | ||||
\(861\) | −5.17100 | + | 12.7590i | −0.176227 | + | 0.434825i | ||||
\(862\) | −49.3468 | − | 28.4904i | −1.68076 | − | 0.970386i | ||||
\(863\) | −18.2354 | − | 18.2354i | −0.620741 | − | 0.620741i | 0.324980 | − | 0.945721i | \(-0.394642\pi\) |
−0.945721 | + | 0.324980i | \(0.894642\pi\) | |||||||
\(864\) | 4.90487 | + | 6.09729i | 0.166867 | + | 0.207434i | ||||
\(865\) | −25.3923 | + | 6.80385i | −0.863364 | + | 0.231338i | ||||
\(866\) | 33.0673 | − | 33.0673i | 1.12367 | − | 1.12367i | ||||
\(867\) | 2.00746 | + | 14.3966i | 0.0681769 | + | 0.488935i | ||||
\(868\) | −1.14359 | + | 0.660254i | −0.0388161 | + | 0.0224105i | ||||
\(869\) | 7.94839 | + | 2.12976i | 0.269631 | + | 0.0722473i | ||||
\(870\) | −22.2096 | + | 17.3135i | −0.752977 | + | 0.586981i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 48.6788i | 1.64847i | ||||||||
\(873\) | 2.46991 | − | 4.43324i | 0.0835939 | − | 0.150042i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −8.23373 | + | 14.2612i | −0.278351 | + | 0.482118i | ||||
\(876\) | 0.0727771 | − | 0.587477i | 0.00245891 | − | 0.0198490i | ||||
\(877\) | −7.76795 | − | 28.9904i | −0.262305 | − | 0.978936i | −0.963879 | − | 0.266339i | \(-0.914186\pi\) |
0.701574 | − | 0.712596i | \(-0.252481\pi\) | |||||||
\(878\) | 0.494214 | + | 1.84443i | 0.0166789 | + | 0.0622465i | ||||
\(879\) | 0.383584 | − | 3.09640i | 0.0129380 | − | 0.104439i | ||||
\(880\) | 13.8301 | − | 23.9545i | 0.466213 | − | 0.807505i | ||||
\(881\) | 11.7417 | + | 20.3372i | 0.395588 | + | 0.685178i | 0.993176 | − | 0.116625i | \(-0.0372076\pi\) |
−0.597588 | + | 0.801803i | \(0.703874\pi\) | |||||||
\(882\) | −10.9943 | + | 19.7336i | −0.370197 | + | 0.664464i | ||||
\(883\) | 33.3731i | 1.12309i | 0.827445 | + | 0.561547i | \(0.189793\pi\) | ||||
−0.827445 | + | 0.561547i | \(0.810207\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 6.19615 | − | 4.83020i | 0.208281 | − | 0.162365i | ||||
\(886\) | 16.3205 | + | 4.37307i | 0.548298 | + | 0.146916i | ||||
\(887\) | 21.8683 | − | 12.6257i | 0.734266 | − | 0.423929i | −0.0857146 | − | 0.996320i | \(-0.527317\pi\) |
0.819981 | + | 0.572391i | \(0.193984\pi\) | |||||||
\(888\) | 3.37965 | + | 24.2373i | 0.113414 | + | 0.813351i | ||||
\(889\) | 9.12436 | − | 9.12436i | 0.306021 | − | 0.306021i | ||||
\(890\) | 20.4416 | − | 5.47732i | 0.685206 | − | 0.183600i | ||||
\(891\) | −8.48560 | + | 36.0441i | −0.284278 | + | 1.20752i | ||||
\(892\) | 4.90897 | + | 4.90897i | 0.164364 | + | 0.164364i | ||||
\(893\) | −20.1563 | − | 11.6373i | −0.674505 | − | 0.389426i | ||||
\(894\) | 8.45743 | − | 20.8680i | 0.282859 | − | 0.697929i | ||||
\(895\) | 10.3468 | − | 38.6147i | 0.345855 | − | 1.29075i | ||||
\(896\) | 18.4443 | 0.616181 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 30.9808 | 1.03384 | ||||||||
\(899\) | −6.46575 | + | 24.1305i | −0.215645 | + | 0.804797i | ||||
\(900\) | −2.11238 | + | 0.600781i | −0.0704127 | + | 0.0200260i | ||||
\(901\) | 3.40192 | + | 1.96410i | 0.113335 | + | 0.0654337i | ||||
\(902\) | 24.6247 | + | 24.6247i | 0.819913 | + | 0.819913i | ||||
\(903\) | −4.29272 | − | 3.24207i | −0.142853 | − | 0.107889i | ||||
\(904\) | 25.9186 | − | 6.94486i | 0.862039 | − | 0.230983i | ||||
\(905\) | −3.19465 | + | 3.19465i | −0.106194 | + | 0.106194i | ||||
\(906\) | −1.95791 | + | 0.273011i | −0.0650473 | + | 0.00907018i | ||||
\(907\) | 15.0000 | − | 8.66025i | 0.498067 | − | 0.287559i | −0.229848 | − | 0.973227i | \(-0.573823\pi\) |
0.727915 | + | 0.685668i | \(0.240490\pi\) | |||||||
\(908\) | 5.24796 | + | 1.40619i | 0.174160 | + | 0.0466659i | ||||
\(909\) | 4.41244 | − | 17.5359i | 0.146351 | − | 0.581629i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 1.55910i | − | 0.0516552i | −0.999666 | − | 0.0258276i | \(-0.991778\pi\) | ||
0.999666 | − | 0.0258276i | \(-0.00822209\pi\) | |||||||
\(912\) | −27.5121 | + | 11.6431i | −0.911016 | + | 0.385543i | ||||
\(913\) | 8.46410 | + | 14.6603i | 0.280121 | + | 0.485184i | ||||
\(914\) | 2.93730 | − | 5.08755i | 0.0971572 | − | 0.168281i | ||||
\(915\) | −18.1204 | − | 2.24477i | −0.599043 | − | 0.0742099i | ||||
\(916\) | 1.38526 | + | 5.16987i | 0.0457704 | + | 0.170817i | ||||
\(917\) | 2.90931 | + | 10.8577i | 0.0960740 | + | 0.358553i | ||||
\(918\) | −14.2504 | + | 36.7670i | −0.470333 | + | 1.21349i | ||||
\(919\) | −6.70577 | + | 11.6147i | −0.221203 | + | 0.383135i | −0.955174 | − | 0.296046i | \(-0.904332\pi\) |
0.733971 | + | 0.679181i | \(0.237665\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −8.01177 | − | 18.9314i | −0.263997 | − | 0.623809i | ||||
\(922\) | − | 32.0333i | − | 1.05496i | ||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −1.66025 | − | 2.12976i | −0.0546183 | − | 0.0700641i | ||||
\(925\) | −14.2942 | − | 3.83013i | −0.469991 | − | 0.125934i | ||||
\(926\) | 42.5188 | − | 24.5483i | 1.39726 | − | 0.806706i | ||||
\(927\) | −14.4705 | + | 14.9200i | −0.475272 | + | 0.490036i | ||||
\(928\) | −7.63397 | + | 7.63397i | −0.250597 | + | 0.250597i | ||||
\(929\) | 19.6901 | − | 5.27594i | 0.646011 | − | 0.173098i | 0.0790861 | − | 0.996868i | \(-0.474800\pi\) |
0.566924 | + | 0.823770i | \(0.308133\pi\) | |||||||
\(930\) | 8.24997 | − | 10.9235i | 0.270527 | − | 0.358196i | ||||
\(931\) | −13.6603 | − | 13.6603i | −0.447697 | − | 0.447697i | ||||
\(932\) | −4.05065 | − | 2.33864i | −0.132683 | − | 0.0766048i | ||||
\(933\) | −16.1777 | − | 6.55656i | −0.529635 | − | 0.214652i | ||||
\(934\) | −7.47114 | + | 27.8827i | −0.244463 | + | 0.912349i | ||||
\(935\) | 31.2229 | 1.02110 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −37.0000 | −1.20874 | −0.604369 | − | 0.796705i | \(-0.706575\pi\) | ||||
−0.604369 | + | 0.796705i | \(0.706575\pi\) | |||||||
\(938\) | −3.27110 | + | 12.2079i | −0.106805 | + | 0.398603i | ||||
\(939\) | −3.21046 | − | 1.30114i | −0.104769 | − | 0.0424612i | ||||
\(940\) | 2.10512 | + | 1.21539i | 0.0686614 | + | 0.0396417i | ||||
\(941\) | −9.14570 | − | 9.14570i | −0.298141 | − | 0.298141i | 0.542144 | − | 0.840285i | \(-0.317613\pi\) |
−0.840285 | + | 0.542144i | \(0.817613\pi\) | |||||||
\(942\) | 7.55181 | − | 9.99911i | 0.246051 | − | 0.325789i | ||||
\(943\) | 0 | 0 | ||||||||
\(944\) | 9.50749 | − | 9.50749i | 0.309442 | − | 0.309442i | ||||
\(945\) | −1.19242 | + | 11.0022i | −0.0387895 | + | 0.357900i | ||||
\(946\) | −11.7846 | + | 6.80385i | −0.383151 | + | 0.221212i | ||||
\(947\) | 10.3635 | + | 2.77689i | 0.336768 | + | 0.0902368i | 0.423240 | − | 0.906018i | \(-0.360893\pi\) |
−0.0864720 | + | 0.996254i | \(0.527559\pi\) | |||||||
\(948\) | 0.570669 | + | 0.732051i | 0.0185345 | + | 0.0237759i | ||||
\(949\) | 0 | 0 | ||||||||
\(950\) | − | 15.8968i | − | 0.515760i | ||||||
\(951\) | 10.8372 | + | 25.6076i | 0.351420 | + | 0.830385i | ||||
\(952\) | 9.29423 | + | 16.0981i | 0.301228 | + | 0.521742i | ||||
\(953\) | −0.988427 | + | 1.71201i | −0.0320183 | + | 0.0554573i | −0.881591 | − | 0.472015i | \(-0.843527\pi\) |
0.849572 | + | 0.527472i | \(0.176860\pi\) | |||||||
\(954\) | 1.80740 | + | 3.02279i | 0.0585169 | + | 0.0978666i | ||||
\(955\) | −1.88269 | − | 7.02628i | −0.0609223 | − | 0.227365i | ||||
\(956\) | −0.647124 | − | 2.41510i | −0.0209295 | − | 0.0781099i | ||||
\(957\) | −50.7000 | − | 6.28076i | −1.63890 | − | 0.203028i | ||||
\(958\) | −15.4904 | + | 26.8301i | −0.500471 | + | 0.866842i | ||||
\(959\) | 4.75374 | + | 8.23373i | 0.153506 | + | 0.265881i | ||||
\(960\) | −15.9990 | + | 6.77079i | −0.516366 | + | 0.218526i | ||||
\(961\) | 18.8564i | 0.608271i | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −55.3205 | − | 13.9199i | −1.78268 | − | 0.448563i | ||||
\(964\) | 3.76795 | + | 1.00962i | 0.121357 | + | 0.0325176i | ||||
\(965\) | −0.180895 | + | 0.104440i | −0.00582321 | + | 0.00336203i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −27.8564 | + | 27.8564i | −0.895802 | + | 0.895802i | −0.995062 | − | 0.0992599i | \(-0.968352\pi\) |
0.0992599 | + | 0.995062i | \(0.468352\pi\) | |||||||
\(968\) | 14.9363 | − | 4.00218i | 0.480072 | − | 0.128635i | ||||
\(969\) | −26.9098 | − | 20.3236i | −0.864467 | − | 0.652887i | ||||
\(970\) | −2.71281 | − | 2.71281i | −0.0871032 | − | 0.0871032i | ||||
\(971\) | −41.4335 | − | 23.9216i | −1.32966 | − | 0.767682i | −0.344416 | − | 0.938817i | \(-0.611923\pi\) |
−0.985247 | + | 0.171136i | \(0.945256\pi\) | |||||||
\(972\) | −3.21415 | + | 2.66755i | −0.103094 | + | 0.0855618i | ||||
\(973\) | 6.73205 | − | 25.1244i | 0.215820 | − | 0.805450i | ||||
\(974\) | −8.67197 | −0.277868 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −31.2487 | −1.00025 | ||||||||
\(977\) | −6.13194 | + | 22.8847i | −0.196178 | + | 0.732147i | 0.795780 | + | 0.605585i | \(0.207061\pi\) |
−0.991959 | + | 0.126562i | \(0.959606\pi\) | |||||||
\(978\) | −4.05721 | + | 10.0108i | −0.129735 | + | 0.320111i | ||||
\(979\) | 33.2487 | + | 19.1962i | 1.06263 | + | 0.613512i | ||||
\(980\) | 1.42667 | + | 1.42667i | 0.0455734 | + | 0.0455734i | ||||
\(981\) | −55.9800 | + | 0.856198i | −1.78730 | + | 0.0273363i | ||||
\(982\) | 41.4904 | − | 11.1173i | 1.32401 | − | 0.354768i | ||||
\(983\) | −30.4433 | + | 30.4433i | −0.970992 | + | 0.970992i | −0.999591 | − | 0.0285990i | \(-0.990895\pi\) |
0.0285990 | + | 0.999591i | \(0.490895\pi\) | |||||||
\(984\) | −3.50677 | − | 25.1490i | −0.111792 | − | 0.801721i | ||||
\(985\) | 5.36603 | − | 3.09808i | 0.170976 | − | 0.0987129i | ||||
\(986\) | −52.5485 | − | 14.0803i | −1.67349 | − | 0.448409i | ||||
\(987\) | −11.6373 | + | 9.07180i | −0.370418 | + | 0.288758i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 24.4545 | + | 13.6245i | 0.777214 | + | 0.433014i | ||||
\(991\) | 28.7846 | + | 49.8564i | 0.914373 | + | 1.58374i | 0.807816 | + | 0.589434i | \(0.200649\pi\) |
0.106557 | + | 0.994307i | \(0.466017\pi\) | |||||||
\(992\) | 2.62398 | − | 4.54486i | 0.0833114 | − | 0.144300i | ||||
\(993\) | 7.28650 | − | 58.8186i | 0.231230 | − | 1.86655i | ||||
\(994\) | 1.66025 | + | 6.19615i | 0.0526601 | + | 0.196530i | ||||
\(995\) | −5.03908 | − | 18.8061i | −0.159750 | − | 0.596193i | ||||
\(996\) | −0.234755 | + | 1.89501i | −0.00743851 | + | 0.0600457i | ||||
\(997\) | 3.50000 | − | 6.06218i | 0.110846 | − | 0.191991i | −0.805266 | − | 0.592914i | \(-0.797977\pi\) |
0.916112 | + | 0.400923i | \(0.131311\pi\) | |||||||
\(998\) | 2.62398 | + | 4.54486i | 0.0830606 | + | 0.143865i | ||||
\(999\) | −27.8132 | + | 4.31286i | −0.879970 | + | 0.136453i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))