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 | 89.2 | ||
Root | \(0.500000 + 0.564882i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 507.89 |
Dual form | 507.2.k.d.188.2 |
$q$-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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.45466 | + | 0.389774i | 1.02860 | + | 0.275612i | 0.733380 | − | 0.679818i | \(-0.237941\pi\) |
0.295217 | + | 0.955430i | \(0.404608\pi\) | |||||||
\(3\) | 0.239203 | − | 1.71545i | 0.138104 | − | 0.990418i | ||||
\(4\) | 0.232051 | + | 0.133975i | 0.116025 | + | 0.0669873i | ||||
\(5\) | −1.06488 | + | 1.06488i | −0.476230 | + | 0.476230i | −0.903924 | − | 0.427694i | \(-0.859326\pi\) |
0.427694 | + | 0.903924i | \(0.359326\pi\) | |||||||
\(6\) | 1.01660 | − | 2.40216i | 0.415024 | − | 0.980678i | ||||
\(7\) | −0.366025 | − | 1.36603i | −0.138345 | − | 0.516309i | −0.999962 | − | 0.00875026i | \(-0.997215\pi\) |
0.861617 | − | 0.507559i | \(-0.169452\pi\) | |||||||
\(8\) | −1.84443 | − | 1.84443i | −0.652105 | − | 0.652105i | ||||
\(9\) | −2.88556 | − | 0.820682i | −0.961855 | − | 0.273561i | ||||
\(10\) | −1.96410 | + | 1.13397i | −0.621103 | + | 0.358594i | ||||
\(11\) | 1.06488 | − | 3.97420i | 0.321074 | − | 1.19826i | −0.597126 | − | 0.802148i | \(-0.703691\pi\) |
0.918200 | − | 0.396117i | \(-0.129643\pi\) | |||||||
\(12\) | 0.285334 | − | 0.366025i | 0.0823689 | − | 0.105662i | ||||
\(13\) | 0 | 0 | ||||||||
\(14\) | − | 2.12976i | − | 0.569204i | ||||||
\(15\) | 1.57203 | + | 2.08148i | 0.405897 | + | 0.537436i | ||||
\(16\) | −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 | ||||
\(19\) | 3.73205 | − | 1.00000i | 0.856191 | − | 0.229416i | 0.196084 | − | 0.980587i | \(-0.437177\pi\) |
0.660107 | + | 0.751171i | \(0.270511\pi\) | |||||||
\(20\) | −0.389774 | + | 0.104440i | −0.0871561 | + | 0.0233534i | ||||
\(21\) | −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 | \(0.833333\pi\) | |||||||
\(24\) | −3.60523 | + | 2.72284i | −0.735914 | + | 0.555798i | ||||
\(25\) | 2.73205i | 0.546410i | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.09808 | + | 4.75374i | −0.403775 | + | 0.914858i | ||||
\(28\) | 0.0980762 | − | 0.366025i | 0.0185347 | − | 0.0691723i | ||||
\(29\) | −6.20840 | + | 3.58442i | −1.15287 | + | 0.665610i | −0.949585 | − | 0.313509i | \(-0.898495\pi\) |
−0.203286 | + | 0.979119i | \(0.565162\pi\) | |||||||
\(30\) | 1.47546 | + | 3.64058i | 0.269381 | + | 0.664675i | ||||
\(31\) | 2.46410 | + | 2.46410i | 0.442566 | + | 0.442566i | 0.892873 | − | 0.450308i | \(-0.148686\pi\) |
−0.450308 | + | 0.892873i | \(0.648686\pi\) | |||||||
\(32\) | −0.389774 | − | 1.45466i | −0.0689030 | − | 0.257149i | ||||
\(33\) | −6.56283 | − | 2.77739i | −1.14244 | − | 0.483482i | ||||
\(34\) | 5.36603 | − | 5.36603i | 0.920266 | − | 0.920266i | ||||
\(35\) | 1.84443 | + | 1.06488i | 0.311766 | + | 0.179998i | ||||
\(36\) | −0.559647 | − | 0.577032i | −0.0932745 | − | 0.0961720i | ||||
\(37\) | 5.23205 | + | 1.40192i | 0.860144 | + | 0.230475i | 0.661821 | − | 0.749662i | \(-0.269784\pi\) |
0.198323 | + | 0.980137i | \(0.436451\pi\) | |||||||
\(38\) | 5.81863 | 0.943906 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.92820 | 0.621103 | ||||||||
\(41\) | −5.42885 | − | 1.45466i | −0.847844 | − | 0.227179i | −0.191361 | − | 0.981520i | \(-0.561290\pi\) |
−0.656483 | + | 0.754341i | \(0.727957\pi\) | |||||||
\(42\) | −3.65351 | − | 0.509445i | −0.563749 | − | 0.0786091i | ||||
\(43\) | 1.90192 | + | 1.09808i | 0.290041 | + | 0.167455i | 0.637960 | − | 0.770069i | \(-0.279778\pi\) |
−0.347920 | + | 0.937524i | \(0.613112\pi\) | |||||||
\(44\) | 0.779548 | − | 0.779548i | 0.117521 | − | 0.117521i | ||||
\(45\) | 3.94672 | − | 2.19886i | 0.588342 | − | 0.327786i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 4.25953 | + | 4.25953i | 0.621316 | + | 0.621316i | 0.945868 | − | 0.324552i | \(-0.105213\pi\) |
−0.324552 | + | 0.945868i | \(0.605213\pi\) | |||||||
\(48\) | −7.16590 | + | 2.90422i | −1.03431 | + | 0.419188i | ||||
\(49\) | 4.33013 | − | 2.50000i | 0.618590 | − | 0.357143i | ||||
\(50\) | −1.06488 | + | 3.97420i | −0.150597 | + | 0.562036i | ||||
\(51\) | −6.88351 | − | 5.36603i | −0.963884 | − | 0.751394i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 0.779548i | − | 0.107079i | −0.998566 | − | 0.0535396i | \(-0.982950\pi\) | ||
0.998566 | − | 0.0535396i | \(-0.0170503\pi\) | |||||||
\(54\) | −4.90487 | + | 6.09729i | −0.667468 | + | 0.829736i | ||||
\(55\) | 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 | ||||
\(58\) | −10.4282 | + | 2.79423i | −1.36929 | + | 0.366900i | ||||
\(59\) | 2.90931 | − | 0.779548i | 0.378760 | − | 0.101489i | −0.0644157 | − | 0.997923i | \(-0.520518\pi\) |
0.443176 | + | 0.896435i | \(0.353852\pi\) | |||||||
\(60\) | 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 | ||||
\(63\) | −0.0648824 | + | 4.24214i | −0.00817442 | + | 0.534460i | ||||
\(64\) | 6.66025i | 0.832532i | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −8.46410 | − | 6.59817i | −1.04186 | − | 0.812179i | ||||
\(67\) | 1.53590 | − | 5.73205i | 0.187640 | − | 0.700281i | −0.806410 | − | 0.591357i | \(-0.798593\pi\) |
0.994050 | − | 0.108925i | \(-0.0347408\pi\) | |||||||
\(68\) | 1.16932 | − | 0.675108i | 0.141801 | − | 0.0818689i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.26795 | + | 2.26795i | 0.271072 | + | 0.271072i | ||||
\(71\) | 0.779548 | + | 2.90931i | 0.0925153 | + | 0.345272i | 0.996631 | − | 0.0820158i | \(-0.0261358\pi\) |
−0.904116 | + | 0.427288i | \(0.859469\pi\) | |||||||
\(72\) | 3.80853 | + | 6.83591i | 0.448840 | + | 0.805620i | ||||
\(73\) | 0.901924 | − | 0.901924i | 0.105562 | − | 0.105562i | −0.652353 | − | 0.757915i | \(-0.726218\pi\) |
0.757915 | + | 0.652353i | \(0.226218\pi\) | |||||||
\(74\) | 7.06440 | + | 4.07863i | 0.821220 | + | 0.474132i | ||||
\(75\) | 4.68671 | + | 0.653513i | 0.541174 | + | 0.0754612i | ||||
\(76\) | 1.00000 | + | 0.267949i | 0.114708 | + | 0.0307359i | ||||
\(77\) | −5.81863 | −0.663094 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.00000 | 0.225018 | 0.112509 | − | 0.993651i | \(-0.464111\pi\) | ||||
0.112509 | + | 0.993651i | \(0.464111\pi\) | |||||||
\(80\) | 6.49373 | + | 1.73999i | 0.726022 | + | 0.194537i | ||||
\(81\) | 7.65296 | + | 4.73626i | 0.850329 | + | 0.526251i | ||||
\(82\) | −7.33013 | − | 4.23205i | −0.809477 | − | 0.467352i | ||||
\(83\) | −2.90931 | + | 2.90931i | −0.319339 | + | 0.319339i | −0.848513 | − | 0.529174i | \(-0.822502\pi\) |
0.529174 | + | 0.848513i | \(0.322502\pi\) | |||||||
\(84\) | −0.604440 | − | 0.255799i | −0.0659498 | − | 0.0279100i | ||||
\(85\) | 1.96410 | + | 7.33013i | 0.213037 | + | 0.795064i | ||||
\(86\) | 2.33864 | + | 2.33864i | 0.252182 | + | 0.252182i | ||||
\(87\) | 4.66384 | + | 11.5076i | 0.500017 | + | 1.23375i | ||||
\(88\) | −9.29423 | + | 5.36603i | −0.990768 | + | 0.572020i | ||||
\(89\) | 2.41510 | − | 9.01327i | 0.256000 | − | 0.955405i | −0.711531 | − | 0.702654i | \(-0.751998\pi\) |
0.967531 | − | 0.252751i | \(-0.0813353\pi\) | |||||||
\(90\) | 6.59817 | − | 1.66025i | 0.695509 | − | 0.175006i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 4.81647 | − | 3.63763i | 0.499445 | − | 0.377205i | ||||
\(94\) | 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 | ||||
\(97\) | −1.63397 | + | 0.437822i | −0.165905 | + | 0.0444541i | −0.340815 | − | 0.940130i | \(-0.610703\pi\) |
0.174910 | + | 0.984584i | \(0.444036\pi\) | |||||||
\(98\) | 7.27328 | − | 1.94887i | 0.734712 | − | 0.196866i | ||||
\(99\) | −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 | \(0.930280\pi\) | |||||||
\(102\) | −7.92160 | − | 10.4887i | −0.784356 | − | 1.03854i | ||||
\(103\) | − | 6.92820i | − | 0.682656i | −0.939944 | − | 0.341328i | \(-0.889123\pi\) | ||
0.939944 | − | 0.341328i | \(-0.110877\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.26795 | − | 2.90931i | 0.221329 | − | 0.283920i | ||||
\(106\) | 0.303848 | − | 1.13397i | 0.0295123 | − | 0.110141i | ||||
\(107\) | 16.4675 | − | 9.50749i | 1.59197 | − | 0.919123i | 0.598999 | − | 0.800749i | \(-0.295565\pi\) |
0.992969 | − | 0.118374i | \(-0.0377682\pi\) | |||||||
\(108\) | −1.12374 | + | 0.822021i | −0.108132 | + | 0.0790990i | ||||
\(109\) | 13.1962 | + | 13.1962i | 1.26396 | + | 1.26396i | 0.949156 | + | 0.314806i | \(0.101940\pi\) |
0.314806 | + | 0.949156i | \(0.398060\pi\) | |||||||
\(110\) | 2.41510 | + | 9.01327i | 0.230271 | + | 0.859382i | ||||
\(111\) | 3.65646 | − | 8.64000i | 0.347055 | − | 0.820072i | ||||
\(112\) | −4.46410 | + | 4.46410i | −0.421818 | + | 0.421818i | ||||
\(113\) | −8.90883 | − | 5.14352i | −0.838073 | − | 0.483861i | 0.0185360 | − | 0.999828i | \(-0.494099\pi\) |
−0.856609 | + | 0.515967i | \(0.827433\pi\) | |||||||
\(114\) | 1.39183 | − | 9.98158i | 0.130357 | − | 0.934861i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −1.92089 | −0.178350 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.53590 | 0.417563 | ||||||||
\(119\) | −6.88351 | − | 1.84443i | −0.631010 | − | 0.169079i | ||||
\(120\) | 0.939636 | − | 6.73865i | 0.0857767 | − | 0.615152i | ||||
\(121\) | −5.13397 | − | 2.96410i | −0.466725 | − | 0.269464i | ||||
\(122\) | 7.45418 | − | 7.45418i | 0.674869 | − | 0.674869i | ||||
\(123\) | −3.79399 | + | 8.96499i | −0.342093 | + | 0.808346i | ||||
\(124\) | 0.241670 | + | 0.901924i | 0.0217026 | + | 0.0809951i | ||||
\(125\) | −8.23373 | − | 8.23373i | −0.736447 | − | 0.736447i | ||||
\(126\) | −1.74786 | + | 6.14557i | −0.155712 | + | 0.547491i | ||||
\(127\) | 7.90192 | − | 4.56218i | 0.701182 | − | 0.404828i | −0.106605 | − | 0.994301i | \(-0.533998\pi\) |
0.807788 | + | 0.589474i | \(0.200665\pi\) | |||||||
\(128\) | −3.37554 | + | 12.5977i | −0.298359 | + | 1.11349i | ||||
\(129\) | 2.33864 | − | 3.00000i | 0.205906 | − | 0.264135i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.94839i | 0.694454i | 0.937781 | + | 0.347227i | \(0.112877\pi\) | ||||
−0.937781 | + | 0.347227i | \(0.887123\pi\) | |||||||
\(132\) | −1.15081 | − | 1.52375i | −0.100165 | − | 0.132625i | ||||
\(133\) | −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 | ||||
\(136\) | −12.6962 | + | 3.40192i | −1.08869 | + | 0.291713i | ||||
\(137\) | −6.49373 | + | 1.73999i | −0.554797 | + | 0.148657i | −0.525315 | − | 0.850908i | \(-0.676052\pi\) |
−0.0294822 | + | 0.999565i | \(0.509386\pi\) | |||||||
\(138\) | 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 | ||||
\(141\) | 8.32592 | − | 6.28814i | 0.701169 | − | 0.529557i | ||||
\(142\) | 4.53590i | 0.380644i | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 3.26795 | + | 12.9875i | 0.272329 | + | 1.08229i | ||||
\(145\) | 2.79423 | − | 10.4282i | 0.232048 | − | 0.866015i | ||||
\(146\) | 1.66354 | − | 0.960443i | 0.137675 | − | 0.0794868i | ||||
\(147\) | −3.25286 | − | 8.02614i | −0.268291 | − | 0.661985i | ||||
\(148\) | 1.02628 | + | 1.02628i | 0.0843597 | + | 0.0843597i | ||||
\(149\) | −2.23420 | − | 8.33816i | −0.183033 | − | 0.683089i | −0.995043 | − | 0.0994454i | \(-0.968293\pi\) |
0.812010 | − | 0.583644i | \(-0.198374\pi\) | |||||||
\(150\) | 6.56283 | + | 2.77739i | 0.535853 | + | 0.226773i | ||||
\(151\) | −0.535898 | + | 0.535898i | −0.0436108 | + | 0.0436108i | −0.728576 | − | 0.684965i | \(-0.759817\pi\) |
0.684965 | + | 0.728576i | \(0.259817\pi\) | |||||||
\(152\) | −8.72794 | − | 5.03908i | −0.707929 | − | 0.408723i | ||||
\(153\) | −10.8517 | + | 10.5248i | −0.877310 | + | 0.850878i | ||||
\(154\) | −8.46410 | − | 2.26795i | −0.682057 | − | 0.182757i | ||||
\(155\) | −5.24796 | −0.421526 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.80385 | −0.383389 | −0.191694 | − | 0.981455i | \(-0.561398\pi\) | ||||
−0.191694 | + | 0.981455i | \(0.561398\pi\) | |||||||
\(158\) | 2.90931 | + | 0.779548i | 0.231453 | + | 0.0620175i | ||||
\(159\) | −1.33728 | − | 0.186470i | −0.106053 | − | 0.0147880i | ||||
\(160\) | 1.96410 | + | 1.13397i | 0.155276 | + | 0.0896486i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 9.28636 | + | 9.87256i | 0.729605 | + | 0.775661i | ||||
\(163\) | 1.07180 | + | 4.00000i | 0.0839496 | + | 0.313304i | 0.995113 | − | 0.0987406i | \(-0.0314814\pi\) |
−0.911164 | + | 0.412045i | \(0.864815\pi\) | |||||||
\(164\) | −1.06488 | − | 1.06488i | −0.0831533 | − | 0.0831533i | ||||
\(165\) | 9.94624 | − | 4.03104i | 0.774313 | − | 0.313816i | ||||
\(166\) | −5.36603 | + | 3.09808i | −0.416484 | + | 0.240457i | ||||
\(167\) | −3.47998 | + | 12.9875i | −0.269289 | + | 1.00500i | 0.690283 | + | 0.723539i | \(0.257486\pi\) |
−0.959573 | + | 0.281461i | \(0.909181\pi\) | |||||||
\(168\) | 5.03908 | + | 3.92820i | 0.388773 | + | 0.303067i | ||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 11.4284i | 0.876516i | ||||||||
\(171\) | −11.5898 | − | 0.177262i | −0.886291 | − | 0.0135556i | ||||
\(172\) | 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 | ||||
\(175\) | 3.73205 | − | 1.00000i | 0.282117 | − | 0.0755929i | ||||
\(176\) | −17.7412 | + | 4.75374i | −1.33729 | + | 0.358327i | ||||
\(177\) | −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 | \(-0.626518\pi\) | |||||||
\(180\) | 1.21043 | + | 0.0185132i | 0.0902201 | + | 0.00137989i | ||||
\(181\) | − | 3.00000i | − | 0.222988i | −0.993765 | − | 0.111494i | \(-0.964436\pi\) | ||
0.993765 | − | 0.111494i | \(-0.0355636\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −9.56218 | − | 7.45418i | −0.706857 | − | 0.551029i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −7.06440 | + | 4.07863i | −0.519385 | + | 0.299867i | ||||
\(186\) | 8.42417 | − | 3.41417i | 0.617690 | − | 0.250339i | ||||
\(187\) | −14.6603 | − | 14.6603i | −1.07206 | − | 1.07206i | ||||
\(188\) | 0.417759 | + | 1.55910i | 0.0304682 | + | 0.113709i | ||||
\(189\) | 7.26168 | + | 1.12603i | 0.528210 | + | 0.0819070i | ||||
\(190\) | −6.19615 | + | 6.19615i | −0.449516 | + | 0.449516i | ||||
\(191\) | 4.18307 | + | 2.41510i | 0.302677 | + | 0.174750i | 0.643645 | − | 0.765324i | \(-0.277421\pi\) |
−0.340968 | + | 0.940075i | \(0.610755\pi\) | |||||||
\(192\) | 11.4254 | + | 1.59315i | 0.824554 | + | 0.114976i | ||||
\(193\) | −0.133975 | − | 0.0358984i | −0.00964370 | − | 0.00258402i | 0.253994 | − | 0.967206i | \(-0.418256\pi\) |
−0.263638 | + | 0.964622i | \(0.584922\pi\) | |||||||
\(194\) | −2.54752 | −0.182902 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.33975 | 0.0956961 | ||||||||
\(197\) | 3.97420 | + | 1.06488i | 0.283150 | + | 0.0758697i | 0.397599 | − | 0.917559i | \(-0.369844\pi\) |
−0.114449 | + | 0.993429i | \(0.536510\pi\) | |||||||
\(198\) | −13.3435 | + | 12.9415i | −0.948281 | + | 0.919711i | ||||
\(199\) | 11.1962 | + | 6.46410i | 0.793674 | + | 0.458228i | 0.841254 | − | 0.540639i | \(-0.181818\pi\) |
−0.0475802 | + | 0.998867i | \(0.515151\pi\) | |||||||
\(200\) | 5.03908 | − | 5.03908i | 0.356317 | − | 0.356317i | ||||
\(201\) | −9.46568 | − | 4.00588i | −0.667657 | − | 0.282553i | ||||
\(202\) | −2.34936 | − | 8.76795i | −0.165301 | − | 0.616911i | ||||
\(203\) | 7.16884 | + | 7.16884i | 0.503154 | + | 0.503154i | ||||
\(204\) | −0.878413 | − | 2.16741i | −0.0615012 | − | 0.151749i | ||||
\(205\) | 7.33013 | − | 4.23205i | 0.511958 | − | 0.295579i | ||||
\(206\) | 2.70043 | − | 10.0782i | 0.188148 | − | 0.702178i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | − | 15.8968i | − | 1.09960i | ||||||
\(210\) | 4.43306 | − | 3.34806i | 0.305910 | − | 0.231038i | ||||
\(211\) | 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 | ||||
\(214\) | 27.6603 | − | 7.41154i | 1.89082 | − | 0.506643i | ||||
\(215\) | −3.19465 | + | 0.856003i | −0.217873 | + | 0.0583789i | ||||
\(216\) | 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 | ||||
\(219\) | −1.33147 | − | 1.76295i | −0.0899722 | − | 0.119129i | ||||
\(220\) | 1.66025i | 0.111934i | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 8.68653 | − | 11.1430i | 0.583002 | − | 0.747872i | ||||
\(223\) | −6.70577 | + | 25.0263i | −0.449052 | + | 1.67588i | 0.255960 | + | 0.966687i | \(0.417609\pi\) |
−0.705011 | + | 0.709196i | \(0.749058\pi\) | |||||||
\(224\) | −1.84443 | + | 1.06488i | −0.123236 | + | 0.0711505i | ||||
\(225\) | 2.24214 | − | 7.88351i | 0.149476 | − | 0.525567i | ||||
\(226\) | −10.9545 | − | 10.9545i | −0.728681 | − | 0.728681i | ||||
\(227\) | −5.24796 | − | 19.5856i | −0.348319 | − | 1.29994i | −0.888686 | − | 0.458515i | \(-0.848381\pi\) |
0.540367 | − | 0.841429i | \(-0.318285\pi\) | |||||||
\(228\) | 0.698857 | − | 1.65136i | 0.0462829 | − | 0.109364i | ||||
\(229\) | 14.1244 | − | 14.1244i | 0.933364 | − | 0.933364i | −0.0645507 | − | 0.997914i | \(-0.520561\pi\) |
0.997914 | + | 0.0645507i | \(0.0205614\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.39183 | + | 9.98158i | −0.0915757 | + | 0.656740i | ||||
\(232\) | 18.0622 | + | 4.83975i | 1.18584 | + | 0.317745i | ||||
\(233\) | 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 | ||||||||
\(236\) | 0.779548 | + | 0.208879i | 0.0507443 | + | 0.0135969i | ||||
\(237\) | 0.478405 | − | 3.43091i | 0.0310757 | − | 0.222861i | ||||
\(238\) | −9.29423 | − | 5.36603i | −0.602455 | − | 0.347828i | ||||
\(239\) | −6.59817 | + | 6.59817i | −0.426800 | + | 0.426800i | −0.887537 | − | 0.460737i | \(-0.847585\pi\) |
0.460737 | + | 0.887537i | \(0.347585\pi\) | |||||||
\(240\) | 4.53819 | − | 10.7235i | 0.292939 | − | 0.692198i | ||||
\(241\) | −3.76795 | − | 14.0622i | −0.242715 | − | 0.905825i | −0.974518 | − | 0.224309i | \(-0.927988\pi\) |
0.731803 | − | 0.681516i | \(-0.238679\pi\) | |||||||
\(242\) | −6.31284 | − | 6.31284i | −0.405805 | − | 0.405805i | ||||
\(243\) | 9.95544 | − | 11.9954i | 0.638642 | − | 0.769504i | ||||
\(244\) | 1.62436 | − | 0.937822i | 0.103989 | − | 0.0600379i | ||||
\(245\) | −1.94887 | + | 7.27328i | −0.124509 | + | 0.464673i | ||||
\(246\) | −9.01327 | + | 11.5622i | −0.574665 | + | 0.737178i | ||||
\(247\) | 0 | 0 | ||||||||
\(248\) | − | 9.08973i | − | 0.577198i | ||||||
\(249\) | 4.29488 | + | 5.68671i | 0.272177 | + | 0.360380i | ||||
\(250\) | −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 | ||||||||
\(254\) | 13.2728 | − | 3.55644i | 0.832810 | − | 0.223151i | ||||
\(255\) | 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 | \(0.599297\pi\) | |||||||
\(258\) | 4.57125 | − | 3.45243i | 0.284593 | − | 0.214939i | ||||
\(259\) | − | 7.66025i | − | 0.475985i | ||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 20.8564 | − | 5.24796i | 1.29098 | − | 0.324840i | ||||
\(262\) | −3.09808 | + | 11.5622i | −0.191400 | + | 0.714314i | ||||
\(263\) | −19.3003 | + | 11.1430i | −1.19011 | + | 0.687109i | −0.958331 | − | 0.285660i | \(-0.907787\pi\) |
−0.231777 | + | 0.972769i | \(0.574454\pi\) | |||||||
\(264\) | 6.98197 | + | 17.2274i | 0.429710 | + | 1.06027i | ||||
\(265\) | 0.830127 | + | 0.830127i | 0.0509943 | + | 0.0509943i | ||||
\(266\) | −2.12976 | − | 7.94839i | −0.130584 | − | 0.487347i | ||||
\(267\) | −14.8842 | − | 6.29899i | −0.910896 | − | 0.385492i | ||||
\(268\) | 1.12436 | − | 1.12436i | 0.0686810 | − | 0.0686810i | ||||
\(269\) | −12.4168 | − | 7.16884i | −0.757066 | − | 0.437092i | 0.0711756 | − | 0.997464i | \(-0.477325\pi\) |
−0.828241 | + | 0.560372i | \(0.810658\pi\) | |||||||
\(270\) | −1.26979 | − | 11.7160i | −0.0772769 | − | 0.713013i | ||||
\(271\) | −7.46410 | − | 2.00000i | −0.453412 | − | 0.121491i | 0.0248835 | − | 0.999690i | \(-0.492079\pi\) |
−0.478295 | + | 0.878199i | \(0.658745\pi\) | |||||||
\(272\) | −22.4950 | −1.36396 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −10.1244 | −0.611635 | ||||||||
\(275\) | 10.8577 | + | 2.90931i | 0.654744 | + | 0.175438i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 23.8923 | + | 13.7942i | 1.43555 | + | 0.828815i | 0.997536 | − | 0.0701536i | \(-0.0223490\pi\) |
0.438013 | + | 0.898969i | \(0.355682\pi\) | |||||||
\(278\) | −19.5856 | + | 19.5856i | −1.17467 | + | 1.17467i | ||||
\(279\) | −5.08808 | − | 9.13257i | −0.304615 | − | 0.546752i | ||||
\(280\) | −1.43782 | − | 5.36603i | −0.0859263 | − | 0.320681i | ||||
\(281\) | 12.1315 | + | 12.1315i | 0.723703 | + | 0.723703i | 0.969357 | − | 0.245655i | \(-0.0790030\pi\) |
−0.245655 | + | 0.969357i | \(0.579003\pi\) | |||||||
\(282\) | 14.5623 | − | 5.90185i | 0.867172 | − | 0.351450i | ||||
\(283\) | −5.70577 | + | 3.29423i | −0.339173 | + | 0.195822i | −0.659906 | − | 0.751348i | \(-0.729404\pi\) |
0.320733 | + | 0.947170i | \(0.396071\pi\) | |||||||
\(284\) | −0.208879 | + | 0.779548i | −0.0123947 | + | 0.0462577i | ||||
\(285\) | 7.94839 | + | 6.19615i | 0.470822 | + | 0.367028i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 7.94839i | 0.469179i | ||||||||
\(288\) | −0.0690922 | + | 4.51739i | −0.00407129 | + | 0.266189i | ||||
\(289\) | −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 | ||||
\(292\) | 0.330127 | − | 0.0884573i | 0.0193192 | − | 0.00517657i | ||||
\(293\) | 1.73999 | − | 0.466229i | 0.101651 | − | 0.0272374i | −0.207635 | − | 0.978206i | \(-0.566577\pi\) |
0.309286 | + | 0.950969i | \(0.399910\pi\) | |||||||
\(294\) | −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 | ||||
\(297\) | 16.6581 | + | 13.4003i | 0.966601 | + | 0.777567i | ||||
\(298\) | − | 13.0000i | − | 0.753070i | ||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 1.00000 | + | 0.779548i | 0.0577350 | + | 0.0450072i | ||||
\(301\) | 0.803848 | − | 3.00000i | 0.0463330 | − | 0.172917i | ||||
\(302\) | −0.988427 | + | 0.570669i | −0.0568776 | + | 0.0328383i | ||||
\(303\) | −9.67552 | + | 3.92132i | −0.555844 | + | 0.225274i | ||||
\(304\) | −12.1962 | − | 12.1962i | −0.699497 | − | 0.699497i | ||||
\(305\) | 2.72842 | + | 10.1826i | 0.156229 | + | 0.583054i | ||||
\(306\) | −19.8878 | + | 11.0802i | −1.13691 | + | 0.633414i | ||||
\(307\) | −8.39230 | + | 8.39230i | −0.478974 | + | 0.478974i | −0.904803 | − | 0.425829i | \(-0.859982\pi\) |
0.425829 | + | 0.904803i | \(0.359982\pi\) | |||||||
\(308\) | −1.35022 | − | 0.779548i | −0.0769357 | − | 0.0444189i | ||||
\(309\) | −11.8850 | − | 1.65724i | −0.676115 | − | 0.0942773i | ||||
\(310\) | −7.63397 | − | 2.04552i | −0.433581 | − | 0.116178i | ||||
\(311\) | 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 | \(0.481998\pi\) | |||||||
\(314\) | −6.98795 | − | 1.87241i | −0.394353 | − | 0.105666i | ||||
\(315\) | −4.44829 | − | 4.58648i | −0.250633 | − | 0.258419i | ||||
\(316\) | 0.464102 | + | 0.267949i | 0.0261078 | + | 0.0150733i | ||||
\(317\) | 11.3519 | − | 11.3519i | 0.637587 | − | 0.637587i | −0.312373 | − | 0.949960i | \(-0.601124\pi\) |
0.949960 | + | 0.312373i | \(0.101124\pi\) | |||||||
\(318\) | −1.87260 | − | 0.792486i | −0.105010 | − | 0.0444404i | ||||
\(319\) | 7.63397 | + | 28.4904i | 0.427421 | + | 1.59516i | ||||
\(320\) | −7.09239 | − | 7.09239i | −0.396477 | − | 0.396477i | ||||
\(321\) | −12.3706 | − | 30.5234i | −0.690460 | − | 1.70365i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 5.03908 | − | 18.8061i | 0.280382 | − | 1.04640i | ||||
\(324\) | 1.14134 | + | 2.12436i | 0.0634076 | + | 0.118020i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 6.23638i | 0.345401i | ||||||||
\(327\) | 25.7939 | − | 19.4808i | 1.42641 | − | 1.07729i | ||||
\(328\) | 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 | ||||
\(331\) | 33.0526 | − | 8.85641i | 1.81673 | − | 0.486792i | 0.820357 | − | 0.571852i | \(-0.193775\pi\) |
0.996376 | + | 0.0850595i | \(0.0271080\pi\) | |||||||
\(332\) | −1.06488 | + | 0.285334i | −0.0584430 | + | 0.0156598i | ||||
\(333\) | −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 | ||||
\(336\) | 6.59014 | + | 8.72579i | 0.359521 | + | 0.476031i | ||||
\(337\) | 18.4641i | 1.00580i | 0.864344 | + | 0.502902i | \(0.167734\pi\) | ||||
−0.864344 | + | 0.502902i | \(0.832266\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −10.9545 | + | 14.0524i | −0.594966 | + | 0.763219i | ||||
\(340\) | −0.526279 | + | 1.96410i | −0.0285415 | + | 0.106518i | ||||
\(341\) | 12.4168 | − | 7.16884i | 0.672407 | − | 0.388215i | ||||
\(342\) | −16.7900 | − | 4.77524i | −0.907900 | − | 0.258215i | ||||
\(343\) | −12.0000 | − | 12.0000i | −0.647939 | − | 0.647939i | ||||
\(344\) | −1.48264 | − | 5.53329i | −0.0799386 | − | 0.298335i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −18.5885 | + | 18.5885i | −0.999322 | + | 0.999322i | ||||
\(347\) | 17.8177 | + | 10.2870i | 0.956502 | + | 0.552237i | 0.895095 | − | 0.445876i | \(-0.147108\pi\) |
0.0614076 | + | 0.998113i | \(0.480441\pi\) | |||||||
\(348\) | −0.459481 | + | 3.29519i | −0.0246308 | + | 0.176641i | ||||
\(349\) | −27.4904 | − | 7.36603i | −1.47153 | − | 0.394294i | −0.568072 | − | 0.822979i | \(-0.692311\pi\) |
−0.903454 | + | 0.428684i | \(0.858977\pi\) | |||||||
\(350\) | 5.81863 | 0.311019 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −6.19615 | −0.330256 | ||||||||
\(353\) | −13.6626 | − | 3.66088i | −0.727186 | − | 0.194849i | −0.123810 | − | 0.992306i | \(-0.539511\pi\) |
−0.603376 | + | 0.797457i | \(0.706178\pi\) | |||||||
\(354\) | 1.08500 | − | 7.78112i | 0.0576670 | − | 0.413562i | ||||
\(355\) | −3.92820 | − | 2.26795i | −0.208487 | − | 0.120370i | ||||
\(356\) | 1.76798 | − | 1.76798i | 0.0937025 | − | 0.0937025i | ||||
\(357\) | −4.81059 | + | 11.3671i | −0.254603 | + | 0.601613i | ||||
\(358\) | −10.3468 | − | 38.6147i | −0.546845 | − | 2.04085i | ||||
\(359\) | −18.2354 | − | 18.2354i | −0.962429 | − | 0.962429i | 0.0368904 | − | 0.999319i | \(-0.488255\pi\) |
−0.999319 | + | 0.0368904i | \(0.988255\pi\) | |||||||
\(360\) | −11.3351 | − | 3.22381i | −0.597411 | − | 0.169909i | ||||
\(361\) | −3.52628 | + | 2.03590i | −0.185594 | + | 0.107153i | ||||
\(362\) | 1.16932 | − | 4.36397i | 0.0614582 | − | 0.229365i | ||||
\(363\) | −6.31284 | + | 8.09808i | −0.331338 | + | 0.425039i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 1.92089i | 0.100544i | ||||||||
\(366\) | −11.0042 | − | 14.5704i | −0.575201 | − | 0.761605i | ||||
\(367\) | −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 | ||||
\(370\) | −11.8660 | + | 3.17949i | −0.616885 | + | 0.165294i | ||||
\(371\) | −1.06488 | + | 0.285334i | −0.0552859 | + | 0.0148138i | ||||
\(372\) | 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 | ||||
\(375\) | −16.0941 | + | 12.1550i | −0.831096 | + | 0.627684i | ||||
\(376\) | − | 15.7128i | − | 0.810326i | ||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 10.1244 | + | 4.46841i | 0.520741 | + | 0.229830i | ||||
\(379\) | −3.83013 | + | 14.2942i | −0.196740 | + | 0.734245i | 0.795069 | + | 0.606519i | \(0.207435\pi\) |
−0.991809 | + | 0.127726i | \(0.959232\pi\) | |||||||
\(380\) | −1.35022 | + | 0.779548i | −0.0692647 | + | 0.0399900i | ||||
\(381\) | −5.93605 | − | 14.6467i | −0.304113 | − | 0.750372i | ||||
\(382\) | 5.14359 | + | 5.14359i | 0.263169 | + | 0.263169i | ||||
\(383\) | 8.51906 | + | 31.7936i | 0.435304 | + | 1.62458i | 0.740339 | + | 0.672234i | \(0.234665\pi\) |
−0.305035 | + | 0.952341i | \(0.598668\pi\) | |||||||
\(384\) | 20.8033 | + | 8.80399i | 1.06162 | + | 0.449277i | ||||
\(385\) | 6.19615 | − | 6.19615i | 0.315785 | − | 0.315785i | ||||
\(386\) | −0.180895 | − | 0.104440i | −0.00920730 | − | 0.00531584i | ||||
\(387\) | −4.58695 | − | 4.72944i | −0.233168 | − | 0.240411i | ||||
\(388\) | −0.437822 | − | 0.117314i | −0.0222271 | − | 0.00595572i | ||||
\(389\) | 22.4950 | 1.14054 | 0.570270 | − | 0.821457i | \(-0.306839\pi\) | ||||
0.570270 | + | 0.821457i | \(0.306839\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −12.5977 | − | 3.37554i | −0.636280 | − | 0.170491i | ||||
\(393\) | 13.6351 | + | 1.90128i | 0.687800 | + | 0.0959066i | ||||
\(394\) | 5.36603 | + | 3.09808i | 0.270336 | + | 0.156079i | ||||
\(395\) | −2.12976 | + | 2.12976i | −0.107160 | + | 0.107160i | ||||
\(396\) | −2.88920 | + | 1.60968i | −0.145188 | + | 0.0808892i | ||||
\(397\) | 3.56218 | + | 13.2942i | 0.178781 | + | 0.667218i | 0.995877 | + | 0.0907168i | \(0.0289158\pi\) |
−0.817096 | + | 0.576501i | \(0.804418\pi\) | |||||||
\(398\) | 13.7670 | + | 13.7670i | 0.690078 | + | 0.690078i | ||||
\(399\) | −8.77113 | + | 3.55479i | −0.439106 | + | 0.177962i | ||||
\(400\) | 10.5622 | − | 6.09808i | 0.528109 | − | 0.304904i | ||||
\(401\) | 3.22263 | − | 12.0270i | 0.160931 | − | 0.600601i | −0.837594 | − | 0.546294i | \(-0.816038\pi\) |
0.998524 | − | 0.0543073i | \(-0.0172951\pi\) | |||||||
\(402\) | −12.2079 | − | 9.51666i | −0.608876 | − | 0.474648i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | − | 1.61507i | − | 0.0803525i | ||||||
\(405\) | −13.1931 | + | 3.10594i | −0.655569 | + | 0.154336i | ||||
\(406\) | 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 | ||||
\(409\) | −28.9904 | + | 7.76795i | −1.43348 | + | 0.384100i | −0.890246 | − | 0.455480i | \(-0.849468\pi\) |
−0.543236 | + | 0.839580i | \(0.682801\pi\) | |||||||
\(410\) | 12.3124 | − | 3.29909i | 0.608064 | − | 0.162930i | ||||
\(411\) | 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 | ||||
\(418\) | 6.19615 | − | 23.1244i | 0.303064 | − | 1.13105i | ||||
\(419\) | −8.23373 | + | 4.75374i | −0.402244 | + | 0.232236i | −0.687452 | − | 0.726230i | \(-0.741271\pi\) |
0.285208 | + | 0.958466i | \(0.407937\pi\) | |||||||
\(420\) | 0.916053 | − | 0.371261i | 0.0446988 | − | 0.0181157i | ||||
\(421\) | 7.83013 | + | 7.83013i | 0.381617 | + | 0.381617i | 0.871685 | − | 0.490067i | \(-0.163028\pi\) |
−0.490067 | + | 0.871685i | \(0.663028\pi\) | |||||||
\(422\) | 0.703093 | + | 2.62398i | 0.0342260 | + | 0.127733i | ||||
\(423\) | −8.79543 | − | 15.7869i | −0.427648 | − | 0.767584i | ||||
\(424\) | −1.43782 | + | 1.43782i | −0.0698268 | + | 0.0698268i | ||||
\(425\) | 11.9226 | + | 6.88351i | 0.578330 | + | 0.333899i | ||||
\(426\) | 7.78112 | + | 1.08500i | 0.376997 | + | 0.0525683i | ||||
\(427\) | −9.56218 | − | 2.56218i | −0.462746 | − | 0.123992i | ||||
\(428\) | 5.09505 | 0.246278 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.98076 | −0.240194 | ||||||||
\(431\) | 36.5473 | + | 9.79282i | 1.76042 | + | 0.471704i | 0.986800 | − | 0.161944i | \(-0.0517764\pi\) |
0.773622 | + | 0.633648i | \(0.218443\pi\) | |||||||
\(432\) | 23.0611 | − | 2.49938i | 1.10953 | − | 0.120252i | ||||
\(433\) | −26.8923 | − | 15.5263i | −1.29236 | − | 0.746145i | −0.313289 | − | 0.949658i | \(-0.601431\pi\) |
−0.979072 | + | 0.203512i | \(0.934764\pi\) | |||||||
\(434\) | 5.24796 | − | 5.24796i | 0.251910 | − | 0.251910i | ||||
\(435\) | −17.2207 | − | 7.28782i | −0.825670 | − | 0.349424i | ||||
\(436\) | 1.29423 | + | 4.83013i | 0.0619823 | + | 0.231321i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −1.24967 | − | 3.08346i | −0.0597117 | − | 0.147333i | ||||
\(439\) | 1.09808 | − | 0.633975i | 0.0524083 | − | 0.0302580i | −0.473567 | − | 0.880758i | \(-0.657034\pi\) |
0.525975 | + | 0.850500i | \(0.323700\pi\) | |||||||
\(440\) | 4.18307 | − | 15.6114i | 0.199420 | − | 0.744247i | ||||
\(441\) | −14.5466 | + | 3.66025i | −0.692694 | + | 0.174298i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | − | 11.2195i | − | 0.533054i | −0.963827 | − | 0.266527i | \(-0.914124\pi\) | ||
0.963827 | − | 0.266527i | \(-0.0858762\pi\) | |||||||
\(444\) | 2.00602 | − | 1.51505i | 0.0952017 | − | 0.0719009i | ||||
\(445\) | 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 | ||||
\(448\) | 9.09808 | − | 2.43782i | 0.429844 | − | 0.115176i | ||||
\(449\) | 19.8710 | − | 5.32441i | 0.937769 | − | 0.251275i | 0.242605 | − | 0.970125i | \(-0.421998\pi\) |
0.695165 | + | 0.718851i | \(0.255331\pi\) | |||||||
\(450\) | 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 | ||||
\(453\) | 0.791121 | + | 1.04750i | 0.0371701 | + | 0.0492157i | ||||
\(454\) | − | 30.5359i | − | 1.43312i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −10.7321 | + | 13.7670i | −0.502574 | + | 0.644700i | ||||
\(457\) | 1.00962 | − | 3.76795i | 0.0472280 | − | 0.176257i | −0.938283 | − | 0.345868i | \(-0.887584\pi\) |
0.985511 | + | 0.169611i | \(0.0542511\pi\) | |||||||
\(458\) | 26.0514 | − | 15.0408i | 1.21730 | − | 0.702809i | ||||
\(459\) | 15.4590 | + | 21.1332i | 0.721565 | + | 0.986412i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 5.50531 | + | 20.5461i | 0.256408 | + | 0.956927i | 0.967302 | + | 0.253628i | \(0.0816238\pi\) |
−0.710894 | + | 0.703299i | \(0.751710\pi\) | |||||||
\(462\) | −5.91520 | + | 13.9773i | −0.275200 | + | 0.650282i | ||||
\(463\) | −23.0526 | + | 23.0526i | −1.07134 | + | 1.07134i | −0.0740918 | + | 0.997251i | \(0.523606\pi\) |
−0.997251 | + | 0.0740918i | \(0.976394\pi\) | |||||||
\(464\) | 27.7149 | + | 16.0012i | 1.28663 | + | 0.742838i | ||||
\(465\) | −1.25532 | + | 9.00263i | −0.0582143 | + | 0.417487i | ||||
\(466\) | 25.3923 | + | 6.80385i | 1.17628 | + | 0.315182i | ||||
\(467\) | −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 | ||||||||
\(470\) | −13.1963 | − | 3.53595i | −0.608702 | − | 0.163101i | ||||
\(471\) | −1.14909 | + | 8.24078i | −0.0529474 | + | 0.379715i | ||||
\(472\) | −6.80385 | − | 3.92820i | −0.313172 | − | 0.180810i | ||||
\(473\) | 6.38929 | − | 6.38929i | 0.293780 | − | 0.293780i | ||||
\(474\) | 2.03319 | − | 4.80432i | 0.0933877 | − | 0.220670i | ||||
\(475\) | 2.73205 | + | 10.1962i | 0.125355 | + | 0.467832i | ||||
\(476\) | −1.35022 | − | 1.35022i | −0.0618871 | − | 0.0618871i | ||||
\(477\) | −0.639761 | + | 2.24944i | −0.0292926 | + | 0.102995i | ||||
\(478\) | −12.1699 | + | 7.02628i | −0.556637 | + | 0.321375i | ||||
\(479\) | −5.32441 | + | 19.8710i | −0.243279 | + | 0.907928i | 0.730962 | + | 0.682418i | \(0.239072\pi\) |
−0.974241 | + | 0.225510i | \(0.927595\pi\) | |||||||
\(480\) | 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 | ||||
\(487\) | −5.56218 | + | 1.49038i | −0.252046 | + | 0.0675356i | −0.382630 | − | 0.923902i | \(-0.624982\pi\) |
0.130584 | + | 0.991437i | \(0.458315\pi\) | |||||||
\(488\) | −17.6368 | + | 4.72576i | −0.798379 | + | 0.213925i | ||||
\(489\) | 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 | \(0.610773\pi\) | |||||||
\(492\) | −2.08148 | + | 1.57203i | −0.0938403 | + | 0.0708728i | ||||
\(493\) | 36.1244i | 1.62696i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −4.53590 | − | 18.0265i | −0.203873 | − | 0.810233i | ||||
\(496\) | 4.02628 | − | 15.0263i | 0.180785 | − | 0.674700i | ||||
\(497\) | 3.68886 | − | 2.12976i | 0.165468 | − | 0.0955330i | ||||
\(498\) | 4.03104 | + | 9.94624i | 0.180635 | + | 0.445702i | ||||
\(499\) | 2.46410 | + | 2.46410i | 0.110308 | + | 0.110308i | 0.760107 | − | 0.649798i | \(-0.225147\pi\) |
−0.649798 | + | 0.760107i | \(0.725147\pi\) | |||||||
\(500\) | −0.807533 | − | 3.01375i | −0.0361140 | − | 0.134779i | ||||
\(501\) | 21.4470 | + | 9.07638i | 0.958181 | + | 0.405503i | ||||
\(502\) | 1.05256 | − | 1.05256i | 0.0469780 | − | 0.0469780i | ||||
\(503\) | −2.83286 | − | 1.63555i | −0.126311 | − | 0.0729256i | 0.435513 | − | 0.900182i | \(-0.356567\pi\) |
−0.561824 | + | 0.827257i | \(0.689900\pi\) | |||||||
\(504\) | 7.94401 | − | 7.70467i | 0.353854 | − | 0.343193i | ||||
\(505\) | 8.76795 | + | 2.34936i | 0.390169 | + | 0.104545i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.44486 | 0.108473 | ||||||||
\(509\) | −14.1568 | − | 3.79330i | −0.627489 | − | 0.168135i | −0.0689588 | − | 0.997620i | \(-0.521968\pi\) |
−0.558530 | + | 0.829484i | \(0.688634\pi\) | |||||||
\(510\) | 19.6048 | + | 2.73370i | 0.868117 | + | 0.121050i | ||||
\(511\) | −1.56218 | − | 0.901924i | −0.0691067 | − | 0.0398988i | ||||
\(512\) | 11.7137 | − | 11.7137i | 0.517678 | − | 0.517678i | ||||
\(513\) | −3.07638 | + | 19.8393i | −0.135826 | + | 0.875926i | ||||
\(514\) | 8.38269 | + | 31.2846i | 0.369744 | + | 1.37990i | ||||
\(515\) | 7.37772 | + | 7.37772i | 0.325101 | + | 0.325101i | ||||
\(516\) | 0.944608 | − | 0.382834i | 0.0415841 | − | 0.0168533i | ||||
\(517\) | 21.4641 | − | 12.3923i | 0.943990 | − | 0.545013i | ||||
\(518\) | 2.98577 | − | 11.1430i | 0.131187 | − | 0.489597i | ||||
\(519\) | 23.8452 | + | 18.5885i | 1.04669 | + | 0.815943i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 2.49155i | − | 0.109157i | −0.998509 | − | 0.0545785i | \(-0.982618\pi\) | ||
0.998509 | − | 0.0545785i | \(-0.0173815\pi\) | |||||||
\(522\) | 32.3844 | + | 0.495311i | 1.41743 | + | 0.0216792i | ||||
\(523\) | 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 | ||||
\(526\) | −32.4186 | + | 8.68653i | −1.41352 | + | 0.378751i | ||||
\(527\) | 16.9617 | − | 4.54486i | 0.738862 | − | 0.197977i | ||||
\(528\) | 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 | ||||
\(531\) | −9.03477 | − | 0.138184i | −0.392076 | − | 0.00599669i | ||||
\(532\) | − | 1.46410i | − | 0.0634769i | ||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −19.1962 | − | 14.9643i | −0.830699 | − | 0.647570i | ||||
\(535\) | −7.41154 | + | 27.6603i | −0.320429 | + | 1.19586i | ||||
\(536\) | −13.4052 | + | 7.73951i | −0.579018 | + | 0.334296i | ||||
\(537\) | −42.6117 | + | 17.2698i | −1.83883 | + | 0.745247i | ||||
\(538\) | −15.2679 | − | 15.2679i | −0.658248 | − | 0.658248i | ||||
\(539\) | −5.32441 | − | 19.8710i | −0.229339 | − | 0.855904i | ||||
\(540\) | 0.321296 | − | 2.07201i | 0.0138264 | − | 0.0891650i | ||||
\(541\) | 12.6865 | − | 12.6865i | 0.545437 | − | 0.545437i | −0.379681 | − | 0.925118i | \(-0.623966\pi\) |
0.925118 | + | 0.379681i | \(0.123966\pi\) | |||||||
\(542\) | −10.0782 | − | 5.81863i | −0.432894 | − | 0.249931i | ||||
\(543\) | −5.14636 | − | 0.717608i | −0.220852 | − | 0.0307955i | ||||
\(544\) | −7.33013 | − | 1.96410i | −0.314277 | − | 0.0842102i | ||||
\(545\) | −28.1047 | −1.20387 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2.00000 | 0.0855138 | 0.0427569 | − | 0.999086i | \(-0.486386\pi\) | ||||
0.0427569 | + | 0.999086i | \(0.486386\pi\) | |||||||
\(548\) | −1.73999 | − | 0.466229i | −0.0743287 | − | 0.0199163i | ||||
\(549\) | −15.0746 | + | 14.6204i | −0.643368 | + | 0.623984i | ||||
\(550\) | 14.6603 | + | 8.46410i | 0.625115 | + | 0.360911i | ||||
\(551\) | −19.5856 | + | 19.5856i | −0.834376 | + | 0.834376i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.732051 | − | 2.73205i | −0.0311300 | − | 0.116179i | ||||
\(554\) | 29.3785 | + | 29.3785i | 1.24817 | + | 1.24817i | ||||
\(555\) | 5.30689 | + | 13.0943i | 0.225265 | + | 0.555821i | ||||
\(556\) | −4.26795 | + | 2.46410i | −0.181001 | + | 0.104501i | ||||
\(557\) | −6.62616 | + | 24.7292i | −0.280759 | + | 1.04781i | 0.671123 | + | 0.741346i | \(0.265812\pi\) |
−0.951883 | + | 0.306462i | \(0.900855\pi\) | |||||||
\(558\) | −3.84177 | − | 15.2679i | −0.162635 | − | 0.646344i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | − | 9.50749i | − | 0.401765i | ||||||
\(561\) | −28.6558 | + | 21.6422i | −1.20985 | + | 0.913735i | ||||
\(562\) | 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 | ||||
\(565\) | 14.9641 | − | 4.00962i | 0.629544 | − | 0.168686i | ||||
\(566\) | −9.58394 | + | 2.56801i | −0.402843 | + | 0.107941i | ||||
\(567\) | 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 | \(0.815306\pi\) | |||||||
\(570\) | 9.14708 | + | 12.1113i | 0.383129 | + | 0.507289i | ||||
\(571\) | − | 1.94744i | − | 0.0814979i | −0.999169 | − | 0.0407489i | \(-0.987026\pi\) | ||
0.999169 | − | 0.0407489i | \(-0.0129744\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 5.14359 | − | 6.59817i | 0.214877 | − | 0.275643i | ||||
\(574\) | −3.09808 | + | 11.5622i | −0.129311 | + | 0.482596i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 5.46595 | − | 19.2186i | 0.227748 | − | 0.800775i | ||||
\(577\) | 22.4904 | + | 22.4904i | 0.936287 | + | 0.936287i | 0.998088 | − | 0.0618016i | \(-0.0196846\pi\) |
−0.0618016 | + | 0.998088i | \(0.519685\pi\) | |||||||
\(578\) | −3.27110 | − | 12.2079i | −0.136060 | − | 0.507783i | ||||
\(579\) | −0.0936291 | + | 0.221240i | −0.00389109 | + | 0.00919443i | ||||
\(580\) | 2.04552 | − | 2.04552i | 0.0849355 | − | 0.0849355i | ||||
\(581\) | 5.03908 | + | 2.90931i | 0.209056 | + | 0.120699i | ||||
\(582\) | −0.609374 | + | 4.37016i | −0.0252594 | + | 0.181149i | ||||
\(583\) | −3.09808 | − | 0.830127i | −0.128309 | − | 0.0343803i | ||||
\(584\) | −3.32707 | −0.137675 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.71281 | 0.112065 | ||||||||
\(587\) | −18.0265 | − | 4.83020i | −0.744035 | − | 0.199364i | −0.133164 | − | 0.991094i | \(-0.542514\pi\) |
−0.610871 | + | 0.791730i | \(0.709181\pi\) | |||||||
\(588\) | 0.320471 | − | 2.29827i | 0.0132160 | − | 0.0947792i | ||||
\(589\) | 11.6603 | + | 6.73205i | 0.480452 | + | 0.277389i | ||||
\(590\) | −4.83020 | + | 4.83020i | −0.198856 | + | 0.198856i | ||||
\(591\) | 2.77739 | − | 6.56283i | 0.114247 | − | 0.269959i | ||||
\(592\) | −6.25833 | − | 23.3564i | −0.257216 | − | 0.959942i | ||||
\(593\) | −10.3635 | − | 10.3635i | −0.425578 | − | 0.425578i | 0.461541 | − | 0.887119i | \(-0.347297\pi\) |
−0.887119 | + | 0.461541i | \(0.847297\pi\) | |||||||
\(594\) | 19.0087 | + | 25.9858i | 0.779937 | + | 1.06621i | ||||
\(595\) | 9.29423 | − | 5.36603i | 0.381026 | − | 0.219986i | ||||
\(596\) | 0.598653 | − | 2.23420i | 0.0245218 | − | 0.0915166i | ||||
\(597\) | 13.7670 | − | 17.6603i | 0.563446 | − | 0.722786i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 20.7270i | 0.846881i | 0.905924 | + | 0.423441i | \(0.139178\pi\) | ||||
−0.905924 | + | 0.423441i | \(0.860822\pi\) | |||||||
\(600\) | −7.43895 | − | 9.84967i | −0.303694 | − | 0.402111i | ||||
\(601\) | −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 | ||||
\(604\) | −0.196152 | + | 0.0525589i | −0.00798133 | + | 0.00213859i | ||||
\(605\) | 8.62350 | − | 2.31066i | 0.350595 | − | 0.0939417i | ||||
\(606\) | −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 | ||||
\(609\) | 14.0126 | − | 10.5830i | 0.567820 | − | 0.428845i | ||||
\(610\) | 15.8756i | 0.642786i | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −3.92820 | + | 0.988427i | −0.158788 | + | 0.0399548i | ||||
\(613\) | 11.3564 | − | 42.3827i | 0.458681 | − | 1.71182i | −0.218354 | − | 0.975870i | \(-0.570069\pi\) |
0.677035 | − | 0.735951i | \(-0.263265\pi\) | |||||||
\(614\) | −15.4790 | + | 8.93682i | −0.624683 | + | 0.360661i | ||||
\(615\) | −5.50650 | − | 13.5868i | −0.222044 | − | 0.547873i | ||||
\(616\) | 10.7321 | + | 10.7321i | 0.432407 | + | 0.432407i | ||||
\(617\) | 4.78173 | + | 17.8457i | 0.192505 | + | 0.718439i | 0.992899 | + | 0.118964i | \(0.0379573\pi\) |
−0.800393 | + | 0.599475i | \(0.795376\pi\) | |||||||
\(618\) | −16.6427 | − | 7.04319i | −0.669466 | − | 0.283319i | ||||
\(619\) | 31.6603 | − | 31.6603i | 1.27253 | − | 1.27253i | 0.327778 | − | 0.944755i | \(-0.393700\pi\) |
0.944755 | − | 0.327778i | \(-0.106300\pi\) | |||||||
\(620\) | −1.21779 | − | 0.703093i | −0.0489077 | − | 0.0282369i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 14.6603 | + | 3.92820i | 0.587823 | + | 0.157507i | ||||
\(623\) | −13.1963 | −0.528701 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.87564 | 0.155026 | ||||||||
\(626\) | 2.90931 | + | 0.779548i | 0.116280 | + | 0.0311570i | ||||
\(627\) | −27.2702 | − | 3.80255i | −1.08907 | − | 0.151859i | ||||
\(628\) | −1.11474 | − | 0.643594i | −0.0444828 | − | 0.0256822i | ||||
\(629\) | 19.3003 | − | 19.3003i | 0.769554 | − | 0.769554i | ||||
\(630\) | −4.68305 | − | 8.40558i | −0.186577 | − | 0.334886i | ||||
\(631\) | −5.73205 | − | 21.3923i | −0.228189 | − | 0.851614i | −0.981102 | − | 0.193493i | \(-0.938018\pi\) |
0.752912 | − | 0.658121i | \(-0.228648\pi\) | |||||||
\(632\) | −3.68886 | − | 3.68886i | −0.146735 | − | 0.146735i | ||||
\(633\) | 2.89559 | − | 1.17353i | 0.115089 | − | 0.0466437i | ||||
\(634\) | 20.9378 | − | 12.0885i | 0.831547 | − | 0.480094i | ||||
\(635\) | −3.55644 | + | 13.2728i | −0.141133 | + | 0.526715i | ||||
\(636\) | −0.285334 | − | 0.222432i | −0.0113142 | − | 0.00882000i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 44.4192i | 1.75857i | ||||||||
\(639\) | 0.138184 | − | 9.03477i | 0.00546649 | − | 0.357410i | ||||
\(640\) | −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 | ||||
\(643\) | −7.00000 | + | 1.87564i | −0.276053 | + | 0.0739682i | −0.394190 | − | 0.919029i | \(-0.628975\pi\) |
0.118136 | + | 0.992997i | \(0.462308\pi\) | |||||||
\(644\) | 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 | \(0.728406\pi\) | |||||||
\(648\) | −5.37965 | − | 22.8511i | −0.211333 | − | 0.897674i | ||||
\(649\) | − | 12.3923i | − | 0.486441i | ||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −6.73205 | − | 5.24796i | −0.263850 | − | 0.205684i | ||||
\(652\) | −0.287187 | + | 1.07180i | −0.0112471 | + | 0.0419748i | ||||
\(653\) | 8.36615 | − | 4.83020i | 0.327393 | − | 0.189020i | −0.327290 | − | 0.944924i | \(-0.606135\pi\) |
0.654683 | + | 0.755904i | \(0.272802\pi\) | |||||||
\(654\) | 45.1145 | − | 18.2841i | 1.76411 | − | 0.714966i | ||||
\(655\) | −8.46410 | − | 8.46410i | −0.330720 | − | 0.330720i | ||||
\(656\) | 6.49373 | + | 24.2349i | 0.253538 | + | 0.946216i | ||||
\(657\) | −3.34275 | + | 1.86237i | −0.130413 | + | 0.0726578i | ||||
\(658\) | 9.07180 | − | 9.07180i | 0.353655 | − | 0.353655i | ||||
\(659\) | −23.4834 | − | 13.5581i | −0.914783 | − | 0.528150i | −0.0328158 | − | 0.999461i | \(-0.510447\pi\) |
−0.881967 | + | 0.471311i | \(0.843781\pi\) | |||||||
\(660\) | 2.84809 | + | 0.397137i | 0.110862 | + | 0.0154585i | ||||
\(661\) | −9.42820 | − | 2.52628i | −0.366715 | − | 0.0982609i | 0.0707559 | − | 0.997494i | \(-0.477459\pi\) |
−0.437470 | + | 0.899233i | \(0.644126\pi\) | |||||||
\(662\) | 51.5321 | 2.00285 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 10.7321 | 0.416484 | ||||||||
\(665\) | 7.94839 | + | 2.12976i | 0.308225 | + | 0.0825887i | ||||
\(666\) | −17.0375 | − | 17.5668i | −0.660191 | − | 0.680699i | ||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −2.54752 | + | 2.54752i | −0.0985666 | + | 0.0985666i | ||||
\(669\) | 41.3274 | + | 17.4898i | 1.59781 | + | 0.676194i | ||||
\(670\) | 3.48334 | + | 13.0000i | 0.134573 | + | 0.502234i | ||||
\(671\) | −20.3652 | − | 20.3652i | −0.786189 | − | 0.786189i | ||||
\(672\) | 1.38556 | + | 3.41876i | 0.0534493 | + | 0.131881i | ||||
\(673\) | −36.9904 | + | 21.3564i | −1.42587 | + | 0.823229i | −0.996792 | − | 0.0800364i | \(-0.974496\pi\) |
−0.429082 | + | 0.903265i | \(0.641163\pi\) | |||||||
\(674\) | −7.19683 | + | 26.8589i | −0.277211 | + | 1.03457i | ||||
\(675\) | −12.9875 | − | 5.73205i | −0.499888 | − | 0.220627i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 9.66040i | 0.371279i | 0.982618 | + | 0.185640i | \(0.0594357\pi\) | ||||
−0.982618 | + | 0.185640i | \(0.940564\pi\) | |||||||
\(678\) | −21.4123 | + | 16.1716i | −0.822333 | + | 0.621065i | ||||
\(679\) | 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 | ||||
\(682\) | 20.8564 | − | 5.58846i | 0.798633 | − | 0.213993i | ||||
\(683\) | −45.2752 | + | 12.1315i | −1.73241 | + | 0.464198i | −0.980736 | − | 0.195338i | \(-0.937420\pi\) |
−0.751673 | + | 0.659536i | \(0.770753\pi\) | |||||||
\(684\) | −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 | ||||
\(687\) | −20.8511 | − | 27.6083i | −0.795519 | − | 1.05332i | ||||
\(688\) | − | 9.80385i | − | 0.373768i | ||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.88269 | + | 18.2224i | −0.185746 | + | 0.693214i | 0.808723 | + | 0.588189i | \(0.200159\pi\) |
−0.994470 | + | 0.105025i | \(0.966508\pi\) | |||||||
\(692\) | −4.05065 | + | 2.33864i | −0.153983 | + | 0.0889019i | ||||
\(693\) | 16.7900 | + | 4.77524i | 0.637800 | + | 0.181396i | ||||
\(694\) | 21.9090 | + | 21.9090i | 0.831653 | + | 0.831653i | ||||
\(695\) | −7.16884 | − | 26.7545i | −0.271930 | − | 1.01486i | ||||
\(696\) | 12.6229 | − | 29.8272i | 0.478469 | − | 1.13060i | ||||
\(697\) | −20.0263 | + | 20.0263i | −0.758549 | + | 0.758549i | ||||
\(698\) | −37.1180 | − | 21.4301i | −1.40494 | − | 0.811140i | ||||
\(699\) | 4.17549 | − | 29.9448i | 0.157932 | − | 1.13261i | ||||
\(700\) | 1.00000 | + | 0.267949i | 0.0377964 | + | 0.0101275i | ||||
\(701\) | 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 | ||||||||
\(704\) | 26.4692 | + | 7.09239i | 0.997594 | + | 0.267304i | ||||
\(705\) | −2.17000 | + | 15.5622i | −0.0817268 | + | 0.586108i | ||||
\(706\) | −18.4474 | − | 10.6506i | −0.694279 | − | 0.400842i | ||||
\(707\) | −6.02751 | + | 6.02751i | −0.226688 | + | 0.226688i | ||||
\(708\) | 0.544793 | − | 1.28731i | 0.0204746 | − | 0.0483802i | ||||
\(709\) | 3.03590 | + | 11.3301i | 0.114016 | + | 0.425512i | 0.999211 | − | 0.0397068i | \(-0.0126424\pi\) |
−0.885196 | + | 0.465219i | \(0.845976\pi\) | |||||||
\(710\) | −4.83020 | − | 4.83020i | −0.181274 | − | 0.181274i | ||||
\(711\) | −5.77113 | − | 1.64136i | −0.216434 | − | 0.0615559i | ||||
\(712\) | −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 | ||||||
\(717\) | 9.74056 | + | 12.8972i | 0.363768 | + | 0.481653i | ||||
\(718\) | −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 | ||||
\(721\) | −9.46410 | + | 2.53590i | −0.352462 | + | 0.0944418i | ||||
\(722\) | −5.92307 | + | 1.58708i | −0.220434 | + | 0.0590650i | ||||
\(723\) | −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 | ||||
\(726\) | −12.3394 | + | 9.31934i | −0.457959 | + | 0.345873i | ||||
\(727\) | 19.5167i | 0.723833i | 0.932211 | + | 0.361916i | \(0.117877\pi\) | ||||
−0.932211 | + | 0.361916i | \(0.882123\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −18.1962 | − | 19.9474i | −0.673932 | − | 0.738794i | ||||
\(730\) | −0.748711 | + | 2.79423i | −0.0277110 | + | 0.103419i | ||||
\(731\) | 9.58394 | − | 5.53329i | 0.354475 | − | 0.204656i | ||||
\(732\) | −1.22024 | − | 3.01084i | −0.0451014 | − | 0.111284i | ||||
\(733\) | 6.77757 | + | 6.77757i | 0.250335 | + | 0.250335i | 0.821108 | − | 0.570773i | \(-0.193356\pi\) |
−0.570773 | + | 0.821108i | \(0.693356\pi\) | |||||||
\(734\) | −11.8461 | − | 44.2104i | −0.437249 | − | 1.63183i | ||||
\(735\) | 12.0108 | + | 5.08298i | 0.443025 | + | 0.187489i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −21.1447 | − | 12.2079i | −0.778876 | − | 0.449685i | ||||
\(738\) | 17.6784 | + | 18.2276i | 0.650750 | + | 0.670966i | ||||
\(739\) | 11.1244 | + | 2.98076i | 0.409216 | + | 0.109649i | 0.457554 | − | 0.889182i | \(-0.348726\pi\) |
−0.0483378 | + | 0.998831i | \(0.515392\pi\) | |||||||
\(740\) | −2.18573 | −0.0803492 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.66025 | −0.0609498 | ||||||||
\(743\) | 8.51906 | + | 2.28268i | 0.312534 | + | 0.0837432i | 0.411677 | − | 0.911330i | \(-0.364943\pi\) |
−0.0991426 | + | 0.995073i | \(0.531610\pi\) | |||||||
\(744\) | −15.5930 | − | 2.17429i | −0.571667 | − | 0.0797132i | ||||
\(745\) | 11.2583 | + | 6.50000i | 0.412473 | + | 0.238142i | ||||
\(746\) | −12.3403 | + | 12.3403i | −0.451812 | + | 0.451812i | ||||
\(747\) | 10.7826 | − | 6.00739i | 0.394516 | − | 0.219799i | ||||
\(748\) | −1.43782 | − | 5.36603i | −0.0525720 | − | 0.196201i | ||||
\(749\) | −19.0150 | − | 19.0150i | −0.694792 | − | 0.694792i | ||||
\(750\) | −28.1491 | + | 11.4084i | −1.02786 | + | 0.416574i | ||||
\(751\) | −29.2750 | + | 16.9019i | −1.06826 | + | 0.616760i | −0.927705 | − | 0.373313i | \(-0.878222\pi\) |
−0.140554 | + | 0.990073i | \(0.544888\pi\) | |||||||
\(752\) | 6.95996 | − | 25.9749i | 0.253804 | − | 0.947208i | ||||
\(753\) | −1.35022 | − | 1.05256i | −0.0492046 | − | 0.0383574i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | − | 1.14134i | − | 0.0415375i | ||||||
\(756\) | 1.53422 | + | 1.23418i | 0.0557990 | + | 0.0448866i | ||||
\(757\) | −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 | ||||||||
\(760\) | 14.6603 | − | 3.92820i | 0.531783 | − | 0.142491i | ||||
\(761\) | −17.7412 | + | 4.75374i | −0.643118 | + | 0.172323i | −0.565616 | − | 0.824669i | \(-0.691361\pi\) |
−0.0775029 | + | 0.996992i | \(0.524695\pi\) | |||||||
\(762\) | −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 | ||||
\(765\) | 0.348161 | − | 22.7635i | 0.0125878 | − | 0.823014i | ||||
\(766\) | 49.5692i | 1.79101i | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 8.63397 | + | 6.73060i | 0.311552 | + | 0.242870i | ||||
\(769\) | 10.8301 | − | 40.4186i | 0.390544 | − | 1.45753i | −0.438694 | − | 0.898636i | \(-0.644559\pi\) |
0.829238 | − | 0.558895i | \(-0.188775\pi\) | |||||||
\(770\) | 11.4284 | − | 6.59817i | 0.411850 | − | 0.237782i | ||||
\(771\) | 34.5229 | − | 13.9915i | 1.24331 | − | 0.503893i | ||||
\(772\) | −0.0262794 | − | 0.0262794i | −0.000945818 | − | 0.000945818i | ||||
\(773\) | −11.1430 | − | 41.5864i | −0.400787 | − | 1.49576i | −0.811695 | − | 0.584081i | \(-0.801455\pi\) |
0.410908 | − | 0.911677i | \(-0.365212\pi\) | |||||||
\(774\) | −4.82903 | − | 8.66759i | −0.173576 | − | 0.311550i | ||||
\(775\) | −6.73205 | + | 6.73205i | −0.241822 | + | 0.241822i | ||||
\(776\) | 3.82129 | + | 2.20622i | 0.137176 | + | 0.0791987i | ||||
\(777\) | −13.1408 | − | 1.83235i | −0.471424 | − | 0.0657353i | ||||
\(778\) | 32.7224 | + | 8.76795i | 1.17316 | + | 0.314346i | ||||
\(779\) | −21.7154 | −0.778035 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 12.3923 | 0.443432 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −4.01372 | − | 37.0335i | −0.143439 | − | 1.32347i | ||||
\(784\) | −19.3301 | − | 11.1603i | −0.690362 | − | 0.398581i | ||||
\(785\) | 5.11553 | − | 5.11553i | 0.182581 | − | 0.182581i | ||||
\(786\) | 19.0933 | + | 8.08031i | 0.681036 | + | 0.288215i | ||||
\(787\) | −4.29423 | − | 16.0263i | −0.153073 | − | 0.571275i | −0.999263 | − | 0.0383938i | \(-0.987776\pi\) |
0.846190 | − | 0.532881i | \(-0.178891\pi\) | |||||||
\(788\) | 0.779548 | + | 0.779548i | 0.0277702 | + | 0.0277702i | ||||
\(789\) | 14.4987 | + | 35.7742i | 0.516167 | + | 1.27360i | ||||
\(790\) | −3.92820 | + | 2.26795i | −0.139759 | + | 0.0806900i | ||||
\(791\) | −3.76532 | + | 14.0524i | −0.133879 | + | 0.499644i | ||||
\(792\) | 31.2229 | − | 7.85641i | 1.10946 | − | 0.279165i | ||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 20.7270i | 0.735573i | ||||||||
\(795\) | 1.62261 | − | 1.22548i | 0.0575482 | − | 0.0434632i | ||||
\(796\) | 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 | ||||
\(799\) | 29.3205 | − | 7.85641i | 1.03729 | − | 0.277940i | ||||
\(800\) | 3.97420 | − | 1.06488i | 0.140509 | − | 0.0376493i | ||||
\(801\) | −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 | ||||
\(804\) | −1.65983 | − | 2.19773i | −0.0585377 | − | 0.0775079i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −15.2679 | + | 19.5856i | −0.537457 | + | 0.689447i | ||||
\(808\) | −4.06922 | + | 15.1865i | −0.143155 | + | 0.534260i | ||||
\(809\) | 24.0261 | − | 13.8715i | 0.844712 | − | 0.487694i | −0.0141514 | − | 0.999900i | \(-0.504505\pi\) |
0.858863 | + | 0.512205i | \(0.171171\pi\) | |||||||
\(810\) | −20.4020 | − | 0.624232i | −0.716853 | − | 0.0219333i | ||||
\(811\) | −19.0000 | − | 19.0000i | −0.667180 | − | 0.667180i | 0.289882 | − | 0.957062i | \(-0.406384\pi\) |
−0.957062 | + | 0.289882i | \(0.906384\pi\) | |||||||
\(812\) | 0.703093 | + | 2.62398i | 0.0246737 | + | 0.0920836i | ||||
\(813\) | −5.21634 | + | 12.3259i | −0.182945 | + | 0.432289i | ||||
\(814\) | 23.7321 | − | 23.7321i | 0.831808 | − | 0.831808i | ||||
\(815\) | −5.40087 | − | 3.11819i | −0.189184 | − | 0.109226i | ||||
\(816\) | −5.38085 | + | 38.5891i | −0.188367 | + | 1.35089i | ||||
\(817\) | 8.19615 | + | 2.19615i | 0.286747 | + | 0.0768336i | ||||
\(818\) | −45.1988 | −1.58034 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2.26795 | 0.0792002 | ||||||||
\(821\) | 41.5864 | + | 11.1430i | 1.45137 | + | 0.388895i | 0.896502 | − | 0.443040i | \(-0.146100\pi\) |
0.554873 | + | 0.831935i | \(0.312767\pi\) | |||||||
\(822\) | −2.42177 | + | 17.3679i | −0.0844690 | + | 0.605774i | ||||
\(823\) | −7.39230 | − | 4.26795i | −0.257680 | − | 0.148771i | 0.365596 | − | 0.930774i | \(-0.380865\pi\) |
−0.623276 | + | 0.782002i | \(0.714199\pi\) | |||||||
\(824\) | −12.7786 | + | 12.7786i | −0.445163 | + | 0.445163i | ||||
\(825\) | 7.58798 | − | 17.9300i | 0.264180 | − | 0.624242i | ||||
\(826\) | −1.66025 | − | 6.19615i | −0.0577676 | − | 0.215592i | ||||
\(827\) | 31.7936 | + | 31.7936i | 1.10557 | + | 1.10557i | 0.993726 | + | 0.111845i | \(0.0356760\pi\) |
0.111845 | + | 0.993726i | \(0.464324\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 41.6769 | − | 24.0622i | 1.44750 | − | 0.835714i | 0.449167 | − | 0.893448i | \(-0.351721\pi\) |
0.998332 | + | 0.0577338i | \(0.0183875\pi\) | |||||||
\(830\) | 2.41510 | − | 9.01327i | 0.0838293 | − | 0.312855i | ||||
\(831\) | 29.3785 | − | 37.6865i | 1.01913 | − | 1.30733i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | − | 25.1954i | − | 0.872968i | ||||||
\(834\) | 28.9133 | + | 38.2832i | 1.00119 | + | 1.32564i | ||||
\(835\) | −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 | ||||
\(838\) | −13.8301 | + | 3.70577i | −0.477754 | + | 0.128014i | ||||
\(839\) | 9.79282 | − | 2.62398i | 0.338086 | − | 0.0905898i | −0.0857819 | − | 0.996314i | \(-0.527339\pi\) |
0.423868 | + | 0.905724i | \(0.360672\pi\) | |||||||
\(840\) | −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 | ||||
\(843\) | 23.7128 | − | 17.9091i | 0.816714 | − | 0.616822i | ||||
\(844\) | 0.483340i | 0.0166372i | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −6.64102 | − | 26.3927i | −0.228323 | − | 0.907400i | ||||
\(847\) | −2.16987 | + | 8.09808i | −0.0745577 | + | 0.278253i | ||||
\(848\) | −3.01375 | + | 1.73999i | −0.103493 | + | 0.0597515i | ||||
\(849\) | 4.28626 | + | 10.5760i | 0.147104 | + | 0.362967i | ||||
\(850\) | 14.6603 | + | 14.6603i | 0.502843 | + | 0.502843i | ||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 1.28731 | + | 0.544793i | 0.0441027 | + | 0.0186643i | ||||
\(853\) | 22.3660 | − | 22.3660i | 0.765798 | − | 0.765798i | −0.211566 | − | 0.977364i | \(-0.567856\pi\) |
0.977364 | + | 0.211566i | \(0.0678562\pi\) | |||||||
\(854\) | −12.9110 | − | 7.45418i | −0.441806 | − | 0.255077i | ||||
\(855\) | 12.5305 | − | 12.1530i | 0.428534 | − | 0.415623i | ||||
\(856\) | −47.9090 | − | 12.8372i | −1.63749 | − | 0.438765i | ||||
\(857\) | 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 | \(0.267001\pi\) | |||||||
\(860\) | −0.856003 | − | 0.229365i | −0.0291895 | − | 0.00782129i | ||||
\(861\) | 13.6351 | + | 1.90128i | 0.464683 | + | 0.0647953i | ||||
\(862\) | 49.3468 | + | 28.4904i | 1.68076 | + | 0.970386i | ||||
\(863\) | 18.2354 | − | 18.2354i | 0.620741 | − | 0.620741i | −0.324980 | − | 0.945721i | \(-0.605358\pi\) |
0.945721 | + | 0.324980i | \(0.105358\pi\) | |||||||
\(864\) | 7.73284 | + | 1.19909i | 0.263077 | + | 0.0407940i | ||||
\(865\) | −6.80385 | − | 25.3923i | −0.231338 | − | 0.863364i | ||||
\(866\) | −33.0673 | − | 33.0673i | −1.12367 | − | 1.12367i | ||||
\(867\) | −13.4716 | + | 5.45979i | −0.457518 | + | 0.185424i | ||||
\(868\) | 1.14359 | − | 0.660254i | 0.0388161 | − | 0.0224105i | ||||
\(869\) | 2.12976 | − | 7.94839i | 0.0722473 | − | 0.269631i | ||||
\(870\) | −22.2096 | − | 17.3135i | −0.752977 | − | 0.586981i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | − | 48.6788i | − | 1.64847i | ||||||
\(873\) | 5.07425 | + | 0.0776093i | 0.171737 | + | 0.00262668i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −8.23373 | + | 14.2612i | −0.278351 | + | 0.482118i | ||||
\(876\) | −0.0727771 | − | 0.587477i | −0.00245891 | − | 0.0198490i | ||||
\(877\) | −28.9904 | + | 7.76795i | −0.978936 | + | 0.262305i | −0.712596 | − | 0.701574i | \(-0.752481\pi\) |
−0.266339 | + | 0.963879i | \(0.585814\pi\) | |||||||
\(878\) | 1.84443 | − | 0.494214i | 0.0622465 | − | 0.0166789i | ||||
\(879\) | −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 | \(0.703874\pi\) | |||||||
\(882\) | −22.5869 | − | 0.345461i | −0.760541 | − | 0.0116323i | ||||
\(883\) | − | 33.3731i | − | 1.12309i | −0.827445 | − | 0.561547i | \(-0.810207\pi\) | ||
0.827445 | − | 0.561547i | \(-0.189793\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 6.19615 | + | 4.83020i | 0.208281 | + | 0.162365i | ||||
\(886\) | 4.37307 | − | 16.3205i | 0.146916 | − | 0.548298i | ||||
\(887\) | −21.8683 | + | 12.6257i | −0.734266 | + | 0.423929i | −0.819981 | − | 0.572391i | \(-0.806016\pi\) |
0.0857146 | + | 0.996320i | \(0.472683\pi\) | |||||||
\(888\) | −22.6800 | + | 9.19180i | −0.761089 | + | 0.308457i | ||||
\(889\) | −9.12436 | − | 9.12436i | −0.306021 | − | 0.306021i | ||||
\(890\) | 5.47732 | + | 20.4416i | 0.183600 | + | 0.685206i | ||||
\(891\) | 26.9723 | − | 25.3708i | 0.903607 | − | 0.849954i | ||||
\(892\) | −4.90897 | + | 4.90897i | −0.164364 | + | 0.164364i | ||||
\(893\) | 20.1563 | + | 11.6373i | 0.674505 | + | 0.389426i | ||||
\(894\) | −22.3009 | − | 3.10963i | −0.745854 | − | 0.104002i | ||||
\(895\) | 38.6147 | + | 10.3468i | 1.29075 | + | 0.345855i | ||||
\(896\) | 18.4443 | 0.616181 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 30.9808 | 1.03384 | ||||||||
\(899\) | −24.1305 | − | 6.46575i | −0.804797 | − | 0.215645i | ||||
\(900\) | 1.57648 | − | 1.52898i | 0.0525494 | − | 0.0509661i | ||||
\(901\) | −3.40192 | − | 1.96410i | −0.113335 | − | 0.0654337i | ||||
\(902\) | −24.6247 | + | 24.6247i | −0.819913 | + | 0.819913i | ||||
\(903\) | −4.95408 | − | 2.09657i | −0.164861 | − | 0.0697695i | ||||
\(904\) | 6.94486 | + | 25.9186i | 0.230983 | + | 0.862039i | ||||
\(905\) | 3.19465 | + | 3.19465i | 0.106194 | + | 0.106194i | ||||
\(906\) | 0.742522 | + | 1.83211i | 0.0246686 | + | 0.0608677i | ||||
\(907\) | −15.0000 | + | 8.66025i | −0.498067 | + | 0.287559i | −0.727915 | − | 0.685668i | \(-0.759510\pi\) |
0.229848 | + | 0.973227i | \(0.426177\pi\) | |||||||
\(908\) | 1.40619 | − | 5.24796i | 0.0466659 | − | 0.174160i | ||||
\(909\) | 4.41244 | + | 17.5359i | 0.146351 | + | 0.581629i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 1.55910i | 0.0516552i | 0.999666 | + | 0.0258276i | \(0.00822209\pi\) | ||||
−0.999666 | + | 0.0258276i | \(0.991778\pi\) | |||||||
\(912\) | −23.8393 | + | 18.0046i | −0.789398 | + | 0.596191i | ||||
\(913\) | 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 | ||||
\(916\) | 5.16987 | − | 1.38526i | 0.170817 | − | 0.0457704i | ||||
\(917\) | 10.8577 | − | 2.90931i | 0.358553 | − | 0.0960740i | ||||
\(918\) | 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 | ||||||||
\(921\) | 12.3892 | + | 16.4041i | 0.408236 | + | 0.540533i | ||||
\(922\) | 32.0333i | 1.05496i | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | −1.66025 | + | 2.12976i | −0.0546183 | + | 0.0700641i | ||||
\(925\) | −3.83013 | + | 14.2942i | −0.125934 | + | 0.469991i | ||||
\(926\) | −42.5188 | + | 24.5483i | −1.39726 | + | 0.806706i | ||||
\(927\) | −5.68585 | + | 19.9918i | −0.186748 | + | 0.656616i | ||||
\(928\) | 7.63397 | + | 7.63397i | 0.250597 | + | 0.250597i | ||||
\(929\) | 5.27594 | + | 19.6901i | 0.173098 | + | 0.646011i | 0.996868 | + | 0.0790861i | \(0.0252002\pi\) |
−0.823770 | + | 0.566924i | \(0.808133\pi\) | |||||||
\(930\) | −5.33506 | + | 12.6064i | −0.174943 | + | 0.413381i | ||||
\(931\) | 13.6603 | − | 13.6603i | 0.447697 | − | 0.447697i | ||||
\(932\) | 4.05065 | + | 2.33864i | 0.132683 | + | 0.0766048i | ||||
\(933\) | 2.41072 | − | 17.2886i | 0.0789234 | − | 0.566004i | ||||
\(934\) | −27.8827 | − | 7.47114i | −0.912349 | − | 0.244463i | ||||
\(935\) | 31.2229 | 1.02110 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −37.0000 | −1.20874 | −0.604369 | − | 0.796705i | \(-0.706575\pi\) | ||||
−0.604369 | + | 0.796705i | \(0.706575\pi\) | |||||||
\(938\) | −12.2079 | − | 3.27110i | −0.398603 | − | 0.106805i | ||||
\(939\) | 0.478405 | − | 3.43091i | 0.0156122 | − | 0.111963i | ||||
\(940\) | −2.10512 | − | 1.21539i | −0.0686614 | − | 0.0396417i | ||||
\(941\) | 9.14570 | − | 9.14570i | 0.298141 | − | 0.298141i | −0.542144 | − | 0.840285i | \(-0.682387\pi\) |
0.840285 | + | 0.542144i | \(0.182387\pi\) | |||||||
\(942\) | −4.88358 | + | 11.5396i | −0.159116 | + | 0.375981i | ||||
\(943\) | 0 | 0 | ||||||||
\(944\) | −9.50749 | − | 9.50749i | −0.309442 | − | 0.309442i | ||||
\(945\) | −8.93193 | + | 6.53374i | −0.290556 | + | 0.212543i | ||||
\(946\) | 11.7846 | − | 6.80385i | 0.383151 | − | 0.221212i | ||||
\(947\) | 2.77689 | − | 10.3635i | 0.0902368 | − | 0.336768i | −0.906018 | − | 0.423240i | \(-0.860893\pi\) |
0.996254 | + | 0.0864720i | \(0.0275593\pi\) | |||||||
\(948\) | 0.570669 | − | 0.732051i | 0.0185345 | − | 0.0237759i | ||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 15.8968i | 0.515760i | ||||||||
\(951\) | −16.7583 | − | 22.1891i | −0.543425 | − | 0.719531i | ||||
\(952\) | 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 | ||||
\(955\) | −7.02628 | + | 1.88269i | −0.227365 | + | 0.0609223i | ||||
\(956\) | −2.41510 | + | 0.647124i | −0.0781099 | + | 0.0209295i | ||||
\(957\) | 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 | ||||
\(960\) | −13.8632 | + | 10.4701i | −0.447432 | + | 0.337923i | ||||
\(961\) | − | 18.8564i | − | 0.608271i | ||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −55.3205 | + | 13.9199i | −1.78268 | + | 0.448563i | ||||
\(964\) | 1.00962 | − | 3.76795i | 0.0325176 | − | 0.121357i | ||||
\(965\) | 0.180895 | − | 0.104440i | 0.00582321 | − | 0.00336203i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 27.8564 | + | 27.8564i | 0.895802 | + | 0.895802i | 0.995062 | − | 0.0992599i | \(-0.0316475\pi\) |
−0.0992599 | + | 0.995062i | \(0.531648\pi\) | |||||||
\(968\) | 4.00218 | + | 14.9363i | 0.128635 | + | 0.480072i | ||||
\(969\) | −31.0556 | − | 13.1428i | −0.997651 | − | 0.422207i | ||||
\(970\) | 2.71281 | − | 2.71281i | 0.0871032 | − | 0.0871032i | ||||
\(971\) | 41.4335 | + | 23.9216i | 1.32966 | + | 0.767682i | 0.985247 | − | 0.171136i | \(-0.0547436\pi\) |
0.344416 | + | 0.938817i | \(0.388077\pi\) | |||||||
\(972\) | 3.91725 | − | 1.44976i | 0.125646 | − | 0.0465011i | ||||
\(973\) | 25.1244 | + | 6.73205i | 0.805450 | + | 0.215820i | ||||
\(974\) | −8.67197 | −0.277868 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −31.2487 | −1.00025 | ||||||||
\(977\) | −22.8847 | − | 6.13194i | −0.732147 | − | 0.196178i | −0.126562 | − | 0.991959i | \(-0.540394\pi\) |
−0.605585 | + | 0.795780i | \(0.707061\pi\) | |||||||
\(978\) | 10.6982 | + | 1.49176i | 0.342092 | + | 0.0477012i | ||||
\(979\) | −33.2487 | − | 19.1962i | −1.06263 | − | 0.613512i | ||||
\(980\) | −1.42667 | + | 1.42667i | −0.0455734 | + | 0.0455734i | ||||
\(981\) | −27.2485 | − | 48.9082i | −0.869978 | − | 1.56152i | ||||
\(982\) | 11.1173 | + | 41.4904i | 0.354768 | + | 1.32401i | ||||
\(983\) | 30.4433 | + | 30.4433i | 0.970992 | + | 0.970992i | 0.999591 | − | 0.0285990i | \(-0.00910459\pi\) |
−0.0285990 | + | 0.999591i | \(0.509105\pi\) | |||||||
\(984\) | 23.5330 | − | 9.53754i | 0.750206 | − | 0.304046i | ||||
\(985\) | −5.36603 | + | 3.09808i | −0.170976 | + | 0.0987129i | ||||
\(986\) | −14.0803 | + | 52.5485i | −0.448409 | + | 1.67349i | ||||
\(987\) | −11.6373 | − | 9.07180i | −0.370418 | − | 0.288758i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 0.428106 | − | 27.9904i | 0.0136061 | − | 0.889594i | ||||
\(991\) | 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 | ||||
\(994\) | 6.19615 | − | 1.66025i | 0.196530 | − | 0.0526601i | ||||
\(995\) | −18.8061 | + | 5.03908i | −0.596193 | + | 0.159750i | ||||
\(996\) | 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 | ||||
\(999\) | −17.6416 | + | 21.9305i | −0.558156 | + | 0.693850i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))