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 | 80.1 | ||
Root | \(0.500000 - 0.564882i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 507.80 |
Dual form | 507.2.k.e.488.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{12}\right)\) |
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 | \(0.262059\pi\) |
−0.955430 | + | 0.295217i | \(0.904608\pi\) | |||||||
\(3\) | 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 | 0.427694 | − | 0.903924i | \(-0.359326\pi\) |
−0.903924 | + | 0.427694i | \(0.859326\pi\) | |||||||
\(6\) | 2.40216 | + | 1.01660i | 0.980678 | + | 0.415024i | ||||
\(7\) | −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 | ||||
\(9\) | −2.88556 | − | 0.820682i | −0.961855 | − | 0.273561i | ||||
\(10\) | 1.96410 | − | 1.13397i | 0.621103 | − | 0.358594i | ||||
\(11\) | −3.97420 | − | 1.06488i | −1.19826 | − | 0.321074i | −0.396117 | − | 0.918200i | \(-0.629643\pi\) |
−0.802148 | + | 0.597126i | \(0.796309\pi\) | |||||||
\(12\) | −0.285334 | + | 0.366025i | −0.0823689 | + | 0.105662i | ||||
\(13\) | 0 | 0 | ||||||||
\(14\) | − | 2.12976i | − | 0.569204i | ||||||
\(15\) | −2.08148 | + | 1.57203i | −0.537436 | + | 0.405897i | ||||
\(16\) | −2.23205 | − | 3.86603i | −0.558013 | − | 0.966506i | ||||
\(17\) | −2.51954 | + | 4.36397i | −0.611078 | + | 1.05842i | 0.379981 | + | 0.924994i | \(0.375930\pi\) |
−0.991059 | + | 0.133424i | \(0.957403\pi\) | |||||||
\(18\) | 2.31853 | − | 3.87762i | 0.546482 | − | 0.913965i | ||||
\(19\) | 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 | ||||
\(21\) | 0.301143 | + | 2.43091i | 0.0657148 | + | 0.530468i | ||||
\(22\) | 3.09808 | − | 5.36603i | 0.660512 | − | 1.14404i | ||||
\(23\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(24\) | 2.72284 | + | 3.60523i | 0.555798 | + | 0.735914i | ||||
\(25\) | − | 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 | −0.949585 | − | 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 | \(-0.851314\pi\) |
0.450308 | + | 0.892873i | \(0.351314\pi\) | |||||||
\(32\) | 1.45466 | − | 0.389774i | 0.257149 | − | 0.0689030i | ||||
\(33\) | −2.77739 | + | 6.56283i | −0.483482 | + | 1.14244i | ||||
\(34\) | −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 | ||||
\(37\) | 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 | \(-0.772043\pi\) |
0.981520 | − | 0.191361i | \(-0.0612901\pi\) | |||||||
\(42\) | −3.65351 | − | 0.509445i | −0.563749 | − | 0.0786091i | ||||
\(43\) | −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 | ||||
\(45\) | 2.19886 | + | 3.94672i | 0.327786 | + | 0.588342i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 4.25953 | − | 4.25953i | 0.621316 | − | 0.621316i | −0.324552 | − | 0.945868i | \(-0.605213\pi\) |
0.945868 | + | 0.324552i | \(0.105213\pi\) | |||||||
\(48\) | −7.16590 | + | 2.90422i | −1.03431 | + | 0.419188i | ||||
\(49\) | −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 | \(-0.982950\pi\) | ||
0.998566 | − | 0.0535396i | \(-0.0170503\pi\) | |||||||
\(54\) | −6.09729 | − | 4.90487i | −0.829736 | − | 0.667468i | ||||
\(55\) | 3.09808 | + | 5.36603i | 0.417745 | + | 0.723555i | ||||
\(56\) | 1.84443 | − | 3.19465i | 0.246472 | − | 0.426903i | ||||
\(57\) | 6.64136 | − | 0.822738i | 0.879670 | − | 0.108974i | ||||
\(58\) | −2.79423 | − | 10.4282i | −0.366900 | − | 1.36929i | ||||
\(59\) | −0.779548 | − | 2.90931i | −0.101489 | − | 0.378760i | 0.896435 | − | 0.443176i | \(-0.146148\pi\) |
−0.997923 | + | 0.0644157i | \(0.979482\pi\) | |||||||
\(60\) | 0.693622 | − | 0.0859264i | 0.0895462 | − | 0.0110931i | ||||
\(61\) | 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 | ||||
\(63\) | 4.24214 | + | 0.0648824i | 0.534460 | + | 0.00817442i | ||||
\(64\) | − | 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 | −0.427288 | − | 0.904116i | \(-0.640531\pi\) |
0.0820158 | + | 0.996631i | \(0.473864\pi\) | |||||||
\(72\) | 6.83591 | − | 3.80853i | 0.805620 | − | 0.448840i | ||||
\(73\) | −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 | ||||
\(75\) | −4.68671 | − | 0.653513i | −0.541174 | − | 0.0754612i | ||||
\(76\) | 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 | ||||
\(81\) | 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 | 0.529174 | − | 0.848513i | \(-0.322502\pi\) |
−0.848513 | + | 0.529174i | \(0.822502\pi\) | |||||||
\(84\) | 0.255799 | − | 0.604440i | 0.0279100 | − | 0.0659498i | ||||
\(85\) | 7.33013 | − | 1.96410i | 0.795064 | − | 0.213037i | ||||
\(86\) | 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 | ||||
\(89\) | −9.01327 | − | 2.41510i | −0.955405 | − | 0.256000i | −0.252751 | − | 0.967531i | \(-0.581335\pi\) |
−0.702654 | + | 0.711531i | \(0.748002\pi\) | |||||||
\(90\) | −6.59817 | + | 1.66025i | −0.695509 | + | 0.175006i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 3.63763 | + | 4.81647i | 0.377205 | + | 0.499445i | ||||
\(94\) | 4.53590 | + | 7.85641i | 0.467842 | + | 0.810326i | ||||
\(95\) | 2.90931 | − | 5.03908i | 0.298489 | − | 0.516998i | ||||
\(96\) | −0.320682 | − | 2.58863i | −0.0327295 | − | 0.264201i | ||||
\(97\) | −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 | ||||
\(99\) | 10.5939 | + | 6.33434i | 1.06472 | + | 0.636625i | ||||
\(100\) | −0.366025 | + | 0.633975i | −0.0366025 | + | 0.0633975i | ||||
\(101\) | 3.01375 | + | 5.21997i | 0.299880 | + | 0.519407i | 0.976108 | − | 0.217285i | \(-0.0697202\pi\) |
−0.676229 | + | 0.736692i | \(0.736387\pi\) | |||||||
\(102\) | −10.4887 | + | 7.92160i | −1.03854 | + | 0.784356i | ||||
\(103\) | 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 | \(-0.295565\pi\) |
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 | −0.314806 | + | 0.949156i | \(0.601940\pi\) |
−0.949156 | + | 0.314806i | \(0.898060\pi\) | |||||||
\(110\) | −9.01327 | + | 2.41510i | −0.859382 | + | 0.230271i | ||||
\(111\) | −8.64000 | − | 3.65646i | −0.820072 | − | 0.347055i | ||||
\(112\) | 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 | ||||||||
\(119\) | 1.84443 | − | 6.88351i | 0.169079 | − | 0.631010i | ||||
\(120\) | 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 | ||||
\(123\) | −8.96499 | − | 3.79399i | −0.808346 | − | 0.342093i | ||||
\(124\) | 0.901924 | − | 0.241670i | 0.0809951 | − | 0.0217026i | ||||
\(125\) | −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 | −0.807788 | − | 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 | \(0.112877\pi\) | ||||
−0.937781 | + | 0.347227i | \(0.887123\pi\) | |||||||
\(132\) | 1.52375 | − | 1.15081i | 0.132625 | − | 0.100165i | ||||
\(133\) | −2.73205 | − | 4.73205i | −0.236899 | − | 0.410321i | ||||
\(134\) | −4.46841 | + | 7.73951i | −0.386012 | + | 0.668592i | ||||
\(135\) | 7.29638 | − | 2.82797i | 0.627973 | − | 0.243393i | ||||
\(136\) | −3.40192 | − | 12.6962i | −0.291713 | − | 1.08869i | ||||
\(137\) | 1.73999 | + | 6.49373i | 0.148657 | + | 0.554797i | 0.999565 | + | 0.0294822i | \(0.00938583\pi\) |
−0.850908 | + | 0.525315i | \(0.823948\pi\) | |||||||
\(138\) | 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 | ||||
\(141\) | −6.28814 | − | 8.32592i | −0.529557 | − | 0.701169i | ||||
\(142\) | − | 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 | ||||
\(147\) | 3.25286 | + | 8.02614i | 0.268291 | + | 0.661985i | ||||
\(148\) | −1.02628 | + | 1.02628i | −0.0843597 | + | 0.0843597i | ||||
\(149\) | 8.33816 | − | 2.23420i | 0.683089 | − | 0.183033i | 0.0994454 | − | 0.995043i | \(-0.468293\pi\) |
0.583644 | + | 0.812010i | \(0.301626\pi\) | |||||||
\(150\) | 2.77739 | − | 6.56283i | 0.226773 | − | 0.535853i | ||||
\(151\) | 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 | ||||
\(153\) | 10.8517 | − | 10.5248i | 0.877310 | − | 0.850878i | ||||
\(154\) | −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 | ||||
\(159\) | −1.33728 | − | 0.186470i | −0.106053 | − | 0.0147880i | ||||
\(160\) | −1.96410 | − | 1.13397i | −0.155276 | − | 0.0896486i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −9.87256 | + | 9.28636i | −0.775661 | + | 0.729605i | ||||
\(163\) | 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 | ||||
\(165\) | 9.94624 | − | 4.03104i | 0.774313 | − | 0.313816i | ||||
\(166\) | 5.36603 | − | 3.09808i | 0.416484 | − | 0.240457i | ||||
\(167\) | 12.9875 | + | 3.47998i | 1.00500 | + | 0.269289i | 0.723539 | − | 0.690283i | \(-0.242514\pi\) |
0.281461 | + | 0.959573i | \(0.409181\pi\) | |||||||
\(168\) | −5.03908 | − | 3.92820i | −0.388773 | − | 0.303067i | ||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 11.4284i | 0.876516i | ||||||||
\(171\) | 0.177262 | − | 11.5898i | 0.0135556 | − | 0.886291i | ||||
\(172\) | 0.294229 | + | 0.509619i | 0.0224347 | + | 0.0388581i | ||||
\(173\) | 8.72794 | − | 15.1172i | 0.663573 | − | 1.14934i | −0.316097 | − | 0.948727i | \(-0.602373\pi\) |
0.979670 | − | 0.200615i | \(-0.0642941\pi\) | |||||||
\(174\) | −18.5575 | + | 2.29892i | −1.40684 | + | 0.174281i | ||||
\(175\) | 1.00000 | + | 3.73205i | 0.0755929 | + | 0.282117i | ||||
\(176\) | 4.75374 | + | 17.7412i | 0.358327 | + | 1.33729i | ||||
\(177\) | −5.17726 | + | 0.641364i | −0.389147 | + | 0.0482078i | ||||
\(178\) | 7.02628 | − | 12.1699i | 0.526642 | − | 0.912171i | ||||
\(179\) | 13.2728 | + | 22.9892i | 0.992056 | + | 1.71829i | 0.604972 | + | 0.796247i | \(0.293184\pi\) |
0.387084 | + | 0.922045i | \(0.373482\pi\) | |||||||
\(180\) | 0.0185132 | − | 1.21043i | 0.00137989 | − | 0.0902201i | ||||
\(181\) | 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 | ||||
\(186\) | −8.42417 | + | 3.41417i | −0.617690 | + | 0.250339i | ||||
\(187\) | 14.6603 | − | 14.6603i | 1.07206 | − | 1.07206i | ||||
\(188\) | −1.55910 | + | 0.417759i | −0.113709 | + | 0.0304682i | ||||
\(189\) | 1.12603 | − | 7.26168i | 0.0819070 | − | 0.528210i | ||||
\(190\) | 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 | ||||
\(193\) | −0.0358984 | + | 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 | −0.993429 | − | 0.114449i | \(-0.963490\pi\) |
0.917559 | + | 0.397599i | \(0.130156\pi\) | |||||||
\(198\) | −13.3435 | + | 12.9415i | −0.948281 | + | 0.919711i | ||||
\(199\) | −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 | ||||
\(201\) | 4.00588 | − | 9.46568i | 0.282553 | − | 0.667657i | ||||
\(202\) | −8.76795 | + | 2.34936i | −0.616911 | + | 0.165301i | ||||
\(203\) | 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 | ||||
\(206\) | −10.0782 | − | 2.70043i | −0.702178 | − | 0.188148i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | − | 15.8968i | − | 1.09960i | ||||||
\(210\) | 3.34806 | + | 4.43306i | 0.231038 | + | 0.305910i | ||||
\(211\) | 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 | ||||
\(213\) | 0.641364 | + | 5.17726i | 0.0439455 | + | 0.354740i | ||||
\(214\) | 7.41154 | + | 27.6603i | 0.506643 | + | 1.89082i | ||||
\(215\) | 0.856003 | + | 3.19465i | 0.0583789 | + | 0.217873i | ||||
\(216\) | −4.89819 | − | 12.6377i | −0.333280 | − | 0.859887i | ||||
\(217\) | 2.46410 | − | 4.26795i | 0.167274 | − | 0.289727i | ||||
\(218\) | −14.0524 | − | 24.3394i | −0.951745 | − | 1.64847i | ||||
\(219\) | −1.76295 | + | 1.33147i | −0.119129 | + | 0.0899722i | ||||
\(220\) | − | 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 | ||||
\(225\) | −2.24214 | + | 7.88351i | −0.149476 | + | 0.525567i | ||||
\(226\) | 10.9545 | − | 10.9545i | 0.728681 | − | 0.728681i | ||||
\(227\) | 19.5856 | − | 5.24796i | 1.29994 | − | 0.348319i | 0.458515 | − | 0.888686i | \(-0.348381\pi\) |
0.841429 | + | 0.540367i | \(0.181715\pi\) | |||||||
\(228\) | −1.65136 | − | 0.698857i | −0.109364 | − | 0.0462829i | ||||
\(229\) | −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 | ||||||||
\(231\) | 1.39183 | − | 9.98158i | 0.0915757 | − | 0.656740i | ||||
\(232\) | 4.83975 | − | 18.0622i | 0.317745 | − | 1.18584i | ||||
\(233\) | −17.4559 | −1.14357 | −0.571786 | − | 0.820403i | \(-0.693749\pi\) | ||||
−0.571786 | + | 0.820403i | \(0.693749\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −9.07180 | −0.591779 | ||||||||
\(236\) | −0.208879 | + | 0.779548i | −0.0135969 | + | 0.0507443i | ||||
\(237\) | 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 | 0.460737 | − | 0.887537i | \(-0.347585\pi\) |
−0.887537 | + | 0.460737i | \(0.847585\pi\) | |||||||
\(240\) | 10.7235 | + | 4.53819i | 0.692198 | + | 0.292939i | ||||
\(241\) | −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 | ||||
\(243\) | 9.95544 | − | 11.9954i | 0.638642 | − | 0.769504i | ||||
\(244\) | −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 | ||||||
\(249\) | −5.68671 | + | 4.29488i | −0.360380 | + | 0.272177i | ||||
\(250\) | −8.76795 | − | 15.1865i | −0.554534 | − | 0.960481i | ||||
\(251\) | −0.494214 | + | 0.856003i | −0.0311945 | + | 0.0540304i | −0.881201 | − | 0.472741i | \(-0.843264\pi\) |
0.850007 | + | 0.526772i | \(0.176598\pi\) | |||||||
\(252\) | −0.975700 | − | 0.583396i | −0.0614634 | − | 0.0367505i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −3.55644 | − | 13.2728i | −0.223151 | − | 0.832810i | ||||
\(255\) | −1.61594 | − | 13.0443i | −0.101194 | − | 0.816867i | ||||
\(256\) | −3.16025 | + | 5.47372i | −0.197516 | + | 0.342108i | ||||
\(257\) | −10.7533 | − | 18.6252i | −0.670770 | − | 1.16181i | −0.977686 | − | 0.210071i | \(-0.932630\pi\) |
0.306916 | − | 0.951737i | \(-0.400703\pi\) | |||||||
\(258\) | −3.45243 | − | 4.57125i | −0.214939 | − | 0.284593i | ||||
\(259\) | 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 | −0.958331 | − | 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 | ||||
\(266\) | 7.94839 | − | 2.12976i | 0.487347 | − | 0.130584i | ||||
\(267\) | −6.29899 | + | 14.8842i | −0.385492 | + | 0.910896i | ||||
\(268\) | −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 | ||||
\(271\) | −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 | ||||
\(279\) | 9.13257 | − | 5.08808i | 0.546752 | − | 0.304615i | ||||
\(280\) | −5.36603 | + | 1.43782i | −0.320681 | + | 0.0859263i | ||||
\(281\) | 12.1315 | − | 12.1315i | 0.723703 | − | 0.723703i | −0.245655 | − | 0.969357i | \(-0.579003\pi\) |
0.969357 | + | 0.245655i | \(0.0790030\pi\) | |||||||
\(282\) | 14.5623 | − | 5.90185i | 0.867172 | − | 0.351450i | ||||
\(283\) | 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 | ||||||||
\(288\) | −4.51739 | − | 0.0690922i | −0.266189 | − | 0.00407129i | ||||
\(289\) | −4.19615 | − | 7.26795i | −0.246832 | − | 0.427526i | ||||
\(290\) | −8.12929 | + | 14.0803i | −0.477368 | + | 0.826826i | ||||
\(291\) | −2.90774 | + | 0.360213i | −0.170455 | + | 0.0211161i | ||||
\(292\) | 0.0884573 | + | 0.330127i | 0.00517657 | + | 0.0193192i | ||||
\(293\) | −0.466229 | − | 1.73999i | −0.0272374 | − | 0.101651i | 0.950969 | − | 0.309286i | \(-0.100090\pi\) |
−0.978206 | + | 0.207635i | \(0.933423\pi\) | |||||||
\(294\) | −12.9432 | + | 1.60341i | −0.754860 | + | 0.0935127i | ||||
\(295\) | −2.26795 | + | 3.92820i | −0.132045 | + | 0.228709i | ||||
\(296\) | 7.06440 | + | 12.2359i | 0.410610 | + | 0.711198i | ||||
\(297\) | 13.4003 | − | 16.6581i | 0.777567 | − | 0.966601i | ||||
\(298\) | 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 | ||||
\(303\) | 9.67552 | − | 3.92132i | 0.555844 | − | 0.225274i | ||||
\(304\) | 12.1962 | − | 12.1962i | 0.699497 | − | 0.699497i | ||||
\(305\) | −10.1826 | + | 2.72842i | −0.583054 | + | 0.156229i | ||||
\(306\) | 11.0802 | + | 19.8878i | 0.633414 | + | 1.13691i | ||||
\(307\) | 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 | ||||
\(309\) | 11.8850 | + | 1.65724i | 0.676115 | + | 0.0942773i | ||||
\(310\) | −2.04552 | + | 7.63397i | −0.116178 | + | 0.433581i | ||||
\(311\) | −10.0782 | −0.571480 | −0.285740 | − | 0.958307i | \(-0.592239\pi\) | ||||
−0.285740 | + | 0.958307i | \(0.592239\pi\) | |||||||
\(312\) | 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 | ||||
\(315\) | −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 | 0.949960 | − | 0.312373i | \(-0.101124\pi\) |
−0.312373 | + | 0.949960i | \(0.601124\pi\) | |||||||
\(318\) | 0.792486 | − | 1.87260i | 0.0444404 | − | 0.105010i | ||||
\(319\) | 28.4904 | − | 7.63397i | 1.59516 | − | 0.427421i | ||||
\(320\) | −7.09239 | + | 7.09239i | −0.396477 | + | 0.396477i | ||||
\(321\) | −12.3706 | − | 30.5234i | −0.690460 | − | 1.70365i | ||||
\(322\) | 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 | ||||||||
\(327\) | 19.4808 | + | 25.7939i | 1.07729 | + | 1.42641i | ||||
\(328\) | 7.33013 | + | 12.6962i | 0.404739 | + | 0.701028i | ||||
\(329\) | −4.25953 | + | 7.37772i | −0.234835 | + | 0.406747i | ||||
\(330\) | 1.98699 | + | 16.0396i | 0.109380 | + | 0.882948i | ||||
\(331\) | 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 | ||||
\(333\) | −8.33919 | + | 13.9469i | −0.456985 | + | 0.764285i | ||||
\(334\) | −10.1244 | + | 17.5359i | −0.553980 | + | 0.959522i | ||||
\(335\) | −4.46841 | − | 7.73951i | −0.244135 | − | 0.422855i | ||||
\(336\) | 8.72579 | − | 6.59014i | 0.476031 | − | 0.359521i | ||||
\(337\) | − | 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 | ||||
\(342\) | 16.7900 | + | 4.77524i | 0.907900 | + | 0.258215i | ||||
\(343\) | 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 | 0.895095 | − | 0.445876i | \(-0.147108\pi\) |
0.0614076 | + | 0.998113i | \(0.480441\pi\) | |||||||
\(348\) | 0.459481 | − | 3.29519i | 0.0246308 | − | 0.176641i | ||||
\(349\) | −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 | \(-0.793822\pi\) |
0.992306 | − | 0.123810i | \(-0.0395113\pi\) | |||||||
\(354\) | 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 | ||||
\(357\) | −11.3671 | − | 4.81059i | −0.601613 | − | 0.254603i | ||||
\(358\) | −38.6147 | + | 10.3468i | −2.04085 | + | 0.546845i | ||||
\(359\) | −18.2354 | + | 18.2354i | −0.962429 | + | 0.962429i | −0.999319 | − | 0.0368904i | \(-0.988255\pi\) |
0.0368904 | + | 0.999319i | \(0.488255\pi\) | |||||||
\(360\) | −11.3351 | − | 3.22381i | −0.597411 | − | 0.169909i | ||||
\(361\) | 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 | ||||||||
\(366\) | 14.5704 | − | 11.0042i | 0.761605 | − | 0.575201i | ||||
\(367\) | −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 | ||||||||
\(369\) | −8.65286 | + | 14.4715i | −0.450450 | + | 0.753356i | ||||
\(370\) | −3.17949 | − | 11.8660i | −0.165294 | − | 0.616885i | ||||
\(371\) | 0.285334 | + | 1.06488i | 0.0148138 | + | 0.0552859i | ||||
\(372\) | −0.198831 | − | 1.60502i | −0.0103089 | − | 0.0832162i | ||||
\(373\) | −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 | ||||
\(375\) | 12.1550 | + | 16.0941i | 0.627684 | + | 0.831096i | ||||
\(376\) | 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 | ||||
\(381\) | 5.93605 | + | 14.6467i | 0.304113 | + | 0.750372i | ||||
\(382\) | −5.14359 | + | 5.14359i | −0.263169 | + | 0.263169i | ||||
\(383\) | −31.7936 | + | 8.51906i | −1.62458 | + | 0.435304i | −0.952341 | − | 0.305035i | \(-0.901332\pi\) |
−0.672234 | + | 0.740339i | \(0.734665\pi\) | |||||||
\(384\) | 8.80399 | − | 20.8033i | 0.449277 | − | 1.06162i | ||||
\(385\) | −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 | ||||
\(388\) | −0.117314 | + | 0.437822i | −0.00595572 | + | 0.0222271i | ||||
\(389\) | −22.4950 | −1.14054 | −0.570270 | − | 0.821457i | \(-0.693161\pi\) | ||||
−0.570270 | + | 0.821457i | \(0.693161\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 3.37554 | − | 12.5977i | 0.170491 | − | 0.636280i | ||||
\(393\) | 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 | ||||
\(396\) | −1.60968 | − | 2.88920i | −0.0808892 | − | 0.145188i | ||||
\(397\) | 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 | ||||
\(399\) | −8.77113 | + | 3.55479i | −0.439106 | + | 0.177962i | ||||
\(400\) | −10.5622 | + | 6.09808i | −0.528109 | + | 0.304904i | ||||
\(401\) | −12.0270 | − | 3.22263i | −0.600601 | − | 0.160931i | −0.0543073 | − | 0.998524i | \(-0.517295\pi\) |
−0.546294 | + | 0.837594i | \(0.683962\pi\) | |||||||
\(402\) | 12.2079 | + | 9.51666i | 0.608876 | + | 0.474648i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | − | 1.61507i | − | 0.0803525i | ||||||
\(405\) | −3.10594 | − | 13.1931i | −0.154336 | − | 0.655569i | ||||
\(406\) | 7.63397 | + | 13.2224i | 0.378868 | + | 0.656218i | ||||
\(407\) | −11.1430 | + | 19.3003i | −0.552340 | + | 0.956681i | ||||
\(408\) | −22.5934 | + | 2.79889i | −1.11854 | + | 0.138566i | ||||
\(409\) | −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 | ||||
\(411\) | 11.5559 | − | 1.43156i | 0.570011 | − | 0.0706135i | ||||
\(412\) | 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 | −0.687452 | − | 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 | \(-0.836972\pi\) |
0.490067 | + | 0.871685i | \(0.336972\pi\) | |||||||
\(422\) | −2.62398 | + | 0.703093i | −0.127733 | + | 0.0342260i | ||||
\(423\) | −15.7869 | + | 8.79543i | −0.767584 | + | 0.427648i | ||||
\(424\) | 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 | ||||
\(427\) | −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 | \(0.448224\pi\) |
−0.633648 | + | 0.773622i | \(0.718443\pi\) | |||||||
\(432\) | 23.0611 | − | 2.49938i | 1.10953 | − | 0.120252i | ||||
\(433\) | 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 | ||||
\(435\) | 7.28782 | − | 17.2207i | 0.349424 | − | 0.825670i | ||||
\(436\) | 4.83013 | − | 1.29423i | 0.231321 | − | 0.0619823i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −1.24967 | − | 3.08346i | −0.0597117 | − | 0.147333i | ||||
\(439\) | −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 | \(-0.914124\pi\) | ||
0.963827 | − | 0.266527i | \(-0.0858762\pi\) | |||||||
\(444\) | 1.51505 | + | 2.00602i | 0.0719009 | + | 0.0952017i | ||||
\(445\) | 7.02628 | + | 12.1699i | 0.333078 | + | 0.576907i | ||||
\(446\) | 19.5092 | − | 33.7909i | 0.923787 | − | 1.60005i | ||||
\(447\) | −1.83816 | − | 14.8382i | −0.0869422 | − | 0.701821i | ||||
\(448\) | 2.43782 | + | 9.09808i | 0.115176 | + | 0.429844i | ||||
\(449\) | −5.32441 | − | 19.8710i | −0.251275 | − | 0.937769i | −0.970125 | − | 0.242605i | \(-0.921998\pi\) |
0.718851 | − | 0.695165i | \(-0.244669\pi\) | |||||||
\(450\) | −10.5939 | − | 6.33434i | −0.499400 | − | 0.298603i | ||||
\(451\) | −11.5622 | + | 20.0263i | −0.544442 | + | 0.943001i | ||||
\(452\) | 1.37820 | + | 2.38711i | 0.0648251 | + | 0.112280i | ||||
\(453\) | 1.04750 | − | 0.791121i | 0.0492157 | − | 0.0371701i | ||||
\(454\) | 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 | ||||
\(459\) | −15.4590 | − | 21.1332i | −0.721565 | − | 0.986412i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −20.5461 | + | 5.50531i | −0.956927 | + | 0.256408i | −0.703299 | − | 0.710894i | \(-0.748290\pi\) |
−0.253628 | + | 0.967302i | \(0.581624\pi\) | |||||||
\(462\) | 13.9773 | + | 5.91520i | 0.650282 | + | 0.275200i | ||||
\(463\) | 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 | ||||
\(465\) | 1.25532 | − | 9.00263i | 0.0582143 | − | 0.417487i | ||||
\(466\) | 6.80385 | − | 25.3923i | 0.315182 | − | 1.17628i | ||||
\(467\) | 19.1679 | 0.886984 | 0.443492 | − | 0.896278i | \(-0.353739\pi\) | ||||
0.443492 | + | 0.896278i | \(0.353739\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −8.39230 | −0.387521 | ||||||||
\(470\) | 3.53595 | − | 13.1963i | 0.163101 | − | 0.608702i | ||||
\(471\) | −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 | ||||
\(474\) | 4.80432 | + | 2.03319i | 0.220670 | + | 0.0933877i | ||||
\(475\) | 10.1962 | − | 2.73205i | 0.467832 | − | 0.125355i | ||||
\(476\) | −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 | ||||
\(479\) | 19.8710 | + | 5.32441i | 0.907928 | + | 0.243279i | 0.682418 | − | 0.730962i | \(-0.260928\pi\) |
0.225510 | + | 0.974241i | \(0.427595\pi\) | |||||||
\(480\) | −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 | ||||
\(486\) | 13.5688 | + | 19.1572i | 0.615492 | + | 0.868990i | ||||
\(487\) | −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 | ||||
\(489\) | −0.881808 | − | 7.11819i | −0.0398767 | − | 0.321896i | ||||
\(490\) | −5.66987 | + | 9.82051i | −0.256139 | + | 0.443645i | ||||
\(491\) | −14.2612 | − | 24.7012i | −0.643600 | − | 1.11475i | −0.984623 | − | 0.174693i | \(-0.944107\pi\) |
0.341023 | − | 0.940055i | \(-0.389227\pi\) | |||||||
\(492\) | 1.57203 | + | 2.08148i | 0.0708728 | + | 0.0938403i | ||||
\(493\) | − | 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 | ||||
\(498\) | −4.03104 | − | 9.94624i | −0.180635 | − | 0.445702i | ||||
\(499\) | −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 | ||||
\(501\) | 9.07638 | − | 21.4470i | 0.405503 | − | 0.958181i | ||||
\(502\) | −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 | ||||
\(505\) | 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 | \(-0.811366\pi\) |
0.997620 | − | 0.0689588i | \(-0.0219677\pi\) | |||||||
\(510\) | 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 | ||||
\(513\) | −19.8393 | − | 3.07638i | −0.875926 | − | 0.135826i | ||||
\(514\) | 31.2846 | − | 8.38269i | 1.37990 | − | 0.369744i | ||||
\(515\) | 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 | ||||
\(518\) | −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 | \(-0.982618\pi\) | ||
0.998509 | − | 0.0545785i | \(-0.0173815\pi\) | |||||||
\(522\) | −0.495311 | + | 32.3844i | −0.0216792 | + | 1.41743i | ||||
\(523\) | 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 | ||||
\(525\) | 6.64136 | − | 0.822738i | 0.289853 | − | 0.0359072i | ||||
\(526\) | −8.68653 | − | 32.4186i | −0.378751 | − | 1.41352i | ||||
\(527\) | −4.54486 | − | 16.9617i | −0.197977 | − | 0.738862i | ||||
\(528\) | 31.5713 | − | 3.91108i | 1.37397 | − | 0.170208i | ||||
\(529\) | 11.5000 | − | 19.9186i | 0.500000 | − | 0.866025i | ||||
\(530\) | −0.883988 | − | 1.53111i | −0.0383980 | − | 0.0665072i | ||||
\(531\) | −0.138184 | + | 9.03477i | −0.00599669 | + | 0.392076i | ||||
\(532\) | 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 | ||||
\(537\) | 42.6117 | − | 17.2698i | 1.83883 | − | 0.745247i | ||||
\(538\) | 15.2679 | − | 15.2679i | 0.658248 | − | 0.658248i | ||||
\(539\) | 19.8710 | − | 5.32441i | 0.855904 | − | 0.229339i | ||||
\(540\) | −2.07201 | − | 0.321296i | −0.0891650 | − | 0.0138264i | ||||
\(541\) | −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 | ||||
\(543\) | 5.14636 | + | 0.717608i | 0.220852 | + | 0.0307955i | ||||
\(544\) | −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 | ||||
\(549\) | −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 | ||||||||
\(553\) | −2.73205 | + | 0.732051i | −0.116179 | + | 0.0311300i | ||||
\(554\) | 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 | ||||
\(557\) | 24.7292 | + | 6.62616i | 1.04781 | + | 0.280759i | 0.741346 | − | 0.671123i | \(-0.234188\pi\) |
0.306462 | + | 0.951883i | \(0.400855\pi\) | |||||||
\(558\) | 3.84177 | + | 15.2679i | 0.162635 | + | 0.646344i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | − | 9.50749i | − | 0.401765i | ||||||
\(561\) | −21.6422 | − | 28.6558i | −0.913735 | − | 1.20985i | ||||
\(562\) | 12.9186 | + | 22.3756i | 0.544938 | + | 0.943860i | ||||
\(563\) | −5.03908 | + | 8.72794i | −0.212372 | + | 0.367839i | −0.952456 | − | 0.304675i | \(-0.901452\pi\) |
0.740085 | + | 0.672514i | \(0.234785\pi\) | |||||||
\(564\) | 0.343706 | + | 2.77449i | 0.0144726 | + | 0.116827i | ||||
\(565\) | 4.00962 | + | 14.9641i | 0.168686 | + | 0.629544i | ||||
\(566\) | 2.56801 | + | 9.58394i | 0.107941 | + | 0.402843i | ||||
\(567\) | −12.1877 | − | 3.66867i | −0.511837 | − | 0.154070i | ||||
\(568\) | 3.92820 | − | 6.80385i | 0.164824 | − | 0.285483i | ||||
\(569\) | −1.35022 | − | 2.33864i | −0.0566040 | − | 0.0980411i | 0.836335 | − | 0.548219i | \(-0.184694\pi\) |
−0.892939 | + | 0.450178i | \(0.851361\pi\) | |||||||
\(570\) | 12.1113 | − | 9.14708i | 0.507289 | − | 0.383129i | ||||
\(571\) | 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 | ||||||||
\(576\) | −5.46595 | + | 19.2186i | −0.227748 | + | 0.800775i | ||||
\(577\) | −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 | ||||
\(579\) | 0.221240 | + | 0.0936291i | 0.00919443 | + | 0.00389109i | ||||
\(580\) | −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 | ||||
\(583\) | −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 | \(-0.790819\pi\) |
0.991094 | − | 0.133164i | \(-0.0425138\pi\) | |||||||
\(588\) | 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 | ||||
\(591\) | 6.56283 | + | 2.77739i | 0.269959 | + | 0.114247i | ||||
\(592\) | −23.3564 | + | 6.25833i | −0.959942 | + | 0.257216i | ||||
\(593\) | −10.3635 | + | 10.3635i | −0.425578 | + | 0.425578i | −0.887119 | − | 0.461541i | \(-0.847297\pi\) |
0.461541 | + | 0.887119i | \(0.347297\pi\) | |||||||
\(594\) | 19.0087 | + | 25.9858i | 0.779937 | + | 1.06621i | ||||
\(595\) | −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 | \(0.139178\pi\) | ||||
−0.905924 | + | 0.423441i | \(0.860822\pi\) | |||||||
\(600\) | 9.84967 | − | 7.43895i | 0.402111 | − | 0.303694i | ||||
\(601\) | −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 | ||||
\(603\) | −15.2797 | − | 9.13612i | −0.622238 | − | 0.372052i | ||||
\(604\) | −0.0525589 | − | 0.196152i | −0.00213859 | − | 0.00798133i | ||||
\(605\) | −2.31066 | − | 8.62350i | −0.0939417 | − | 0.350595i | ||||
\(606\) | 1.93291 | + | 15.6030i | 0.0785192 | + | 0.633828i | ||||
\(607\) | 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 | ||||
\(609\) | −10.5830 | − | 14.0126i | −0.428845 | − | 0.567820i | ||||
\(610\) | − | 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 | ||||
\(615\) | 5.50650 | + | 13.5868i | 0.222044 | + | 0.547873i | ||||
\(616\) | −10.7321 | + | 10.7321i | −0.432407 | + | 0.432407i | ||||
\(617\) | −17.8457 | + | 4.78173i | −0.718439 | + | 0.192505i | −0.599475 | − | 0.800393i | \(-0.704624\pi\) |
−0.118964 | + | 0.992899i | \(0.537957\pi\) | |||||||
\(618\) | −7.04319 | + | 16.6427i | −0.283319 | + | 0.669466i | ||||
\(619\) | −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 | ||||
\(627\) | −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 | ||||
\(630\) | 8.40558 | − | 4.68305i | 0.334886 | − | 0.186577i | ||||
\(631\) | −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 | ||||
\(633\) | 2.89559 | − | 1.17353i | 0.115089 | − | 0.0466437i | ||||
\(634\) | −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 | ||||||||
\(639\) | 9.03477 | + | 0.138184i | 0.357410 | + | 0.00546649i | ||||
\(640\) | −9.82051 | − | 17.0096i | −0.388190 | − | 0.672364i | ||||
\(641\) | 22.6758 | − | 39.2757i | 0.895642 | − | 1.55130i | 0.0626345 | − | 0.998037i | \(-0.480050\pi\) |
0.833008 | − | 0.553261i | \(-0.186617\pi\) | |||||||
\(642\) | 49.2228 | − | 6.09776i | 1.94267 | − | 0.240659i | ||||
\(643\) | −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 | ||||||||
\(645\) | 5.68503 | − | 0.704266i | 0.223848 | − | 0.0277305i | ||||
\(646\) | 14.6603 | − | 25.3923i | 0.576800 | − | 0.999047i | ||||
\(647\) | −8.23373 | − | 14.2612i | −0.323701 | − | 0.560667i | 0.657547 | − | 0.753413i | \(-0.271594\pi\) |
−0.981249 | + | 0.192746i | \(0.938261\pi\) | |||||||
\(648\) | −22.8511 | + | 5.37965i | −0.897674 | + | 0.211333i | ||||
\(649\) | 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 | −0.327290 | − | 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 | ||||
\(656\) | −24.2349 | + | 6.49373i | −0.946216 | + | 0.253538i | ||||
\(657\) | 1.86237 | + | 3.34275i | 0.0726578 | + | 0.130413i | ||||
\(658\) | −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 | ||||
\(661\) | −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 | ||||
\(666\) | −17.0375 | − | 17.5668i | −0.660191 | − | 0.680699i | ||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −2.54752 | − | 2.54752i | −0.0985666 | − | 0.0985666i | ||||
\(669\) | −17.4898 | + | 41.3274i | −0.676194 | + | 1.59781i | ||||
\(670\) | 13.0000 | − | 3.48334i | 0.502234 | − | 0.134573i | ||||
\(671\) | −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 | 0.429082 | − | 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 | \(0.0594357\pi\) | ||||
−0.982618 | + | 0.185640i | \(0.940564\pi\) | |||||||
\(678\) | −16.1716 | − | 21.4123i | −0.621065 | − | 0.822333i | ||||
\(679\) | 1.19615 | + | 2.07180i | 0.0459041 | + | 0.0795083i | ||||
\(680\) | −9.89726 | + | 17.1426i | −0.379543 | + | 0.657387i | ||||
\(681\) | −4.31769 | − | 34.8536i | −0.165454 | − | 1.33559i | ||||
\(682\) | 5.58846 | + | 20.8564i | 0.213993 | + | 0.798633i | ||||
\(683\) | 12.1315 | + | 45.2752i | 0.464198 | + | 1.73241i | 0.659536 | + | 0.751673i | \(0.270753\pi\) |
−0.195338 | + | 0.980736i | \(0.562580\pi\) | |||||||
\(684\) | −1.59387 | + | 2.66566i | −0.0609430 | + | 0.101924i | ||||
\(685\) | 5.06218 | − | 8.76795i | 0.193416 | − | 0.335006i | ||||
\(686\) | 12.7786 | + | 22.1332i | 0.487889 | + | 0.845048i | ||||
\(687\) | −27.6083 | + | 20.8511i | −1.05332 | + | 0.795519i | ||||
\(688\) | 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 | ||||
\(693\) | −16.7900 | − | 4.77524i | −0.637800 | − | 0.181396i | ||||
\(694\) | −21.9090 | + | 21.9090i | −0.831653 | + | 0.831653i | ||||
\(695\) | 26.7545 | − | 7.16884i | 1.01486 | − | 0.271930i | ||||
\(696\) | −29.8272 | − | 12.6229i | −1.13060 | − | 0.478469i | ||||
\(697\) | 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 | ||||
\(700\) | 0.267949 | − | 1.00000i | 0.0101275 | − | 0.0377964i | ||||
\(701\) | −12.7786 | −0.482641 | −0.241320 | − | 0.970446i | \(-0.577580\pi\) | ||||
−0.241320 | + | 0.970446i | \(0.577580\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 20.9282 | 0.789322 | ||||||||
\(704\) | −7.09239 | + | 26.4692i | −0.267304 | + | 0.997594i | ||||
\(705\) | −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 | ||||
\(708\) | 1.28731 | + | 0.544793i | 0.0483802 | + | 0.0204746i | ||||
\(709\) | 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 | ||||
\(711\) | −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 | ||||||
\(717\) | −12.8972 | + | 9.74056i | −0.481653 | + | 0.363768i | ||||
\(718\) | −19.4186 | − | 33.6340i | −0.724695 | − | 1.25521i | ||||
\(719\) | −3.68886 | + | 6.38929i | −0.137571 | + | 0.238280i | −0.926577 | − | 0.376106i | \(-0.877263\pi\) |
0.789005 | + | 0.614386i | \(0.210596\pi\) | |||||||
\(720\) | 10.3501 | − | 17.3101i | 0.385727 | − | 0.645110i | ||||
\(721\) | −2.53590 | − | 9.46410i | −0.0944418 | − | 0.352462i | ||||
\(722\) | 1.58708 | + | 5.92307i | 0.0590650 | + | 0.220434i | ||||
\(723\) | 3.10003 | + | 25.0243i | 0.115292 | + | 0.930665i | ||||
\(724\) | 0.401924 | − | 0.696152i | 0.0149374 | − | 0.0258723i | ||||
\(725\) | 9.79282 | + | 16.9617i | 0.363696 | + | 0.629940i | ||||
\(726\) | 9.31934 | + | 12.3394i | 0.345873 | + | 0.457959i | ||||
\(727\) | − | 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 | ||||
\(732\) | 1.22024 | + | 3.01084i | 0.0451014 | + | 0.111284i | ||||
\(733\) | −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 | ||||
\(735\) | 5.08298 | − | 12.0108i | 0.187489 | − | 0.443025i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −21.1447 | − | 12.2079i | −0.778876 | − | 0.449685i | ||||
\(738\) | −17.6784 | − | 18.2276i | −0.650750 | − | 0.670966i | ||||
\(739\) | 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 | −0.995073 | − | 0.0991426i | \(-0.968390\pi\) |
0.911330 | + | 0.411677i | \(0.135057\pi\) | |||||||
\(744\) | −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 | ||||
\(747\) | 6.00739 | + | 10.7826i | 0.219799 | + | 0.394516i | ||||
\(748\) | −5.36603 | + | 1.43782i | −0.196201 | + | 0.0525720i | ||||
\(749\) | −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 | 0.140554 | − | 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 | ||||||
\(756\) | −1.23418 | + | 1.53422i | −0.0448866 | + | 0.0557990i | ||||
\(757\) | −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 | \(0.0246947\pi\) |
−0.824669 | + | 0.565616i | \(0.808639\pi\) | |||||||
\(762\) | −23.6196 | + | 2.92602i | −0.855647 | + | 0.105998i | ||||
\(763\) | 13.1962 | − | 22.8564i | 0.477733 | − | 0.827457i | ||||
\(764\) | −0.647124 | − | 1.12085i | −0.0234121 | − | 0.0405510i | ||||
\(765\) | −22.7635 | − | 0.348161i | −0.823014 | − | 0.0125878i | ||||
\(766\) | − | 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 | ||||
\(771\) | −34.5229 | + | 13.9915i | −1.24331 | + | 0.503893i | ||||
\(772\) | 0.0262794 | − | 0.0262794i | 0.000945818 | − | 0.000945818i | ||||
\(773\) | 41.5864 | − | 11.1430i | 1.49576 | − | 0.400787i | 0.584081 | − | 0.811695i | \(-0.301455\pi\) |
0.911677 | + | 0.410908i | \(0.134788\pi\) | |||||||
\(774\) | −8.66759 | + | 4.82903i | −0.311550 | + | 0.173576i | ||||
\(775\) | 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 | ||||
\(778\) | 8.76795 | − | 32.7224i | 0.314346 | − | 1.17316i | ||||
\(779\) | 21.7154 | 0.778035 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 12.3923 | 0.443432 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −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 | ||||
\(786\) | −8.08031 | + | 19.0933i | −0.288215 | + | 0.681036i | ||||
\(787\) | −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 | ||||
\(789\) | 14.4987 | + | 35.7742i | 0.516167 | + | 1.27360i | ||||
\(790\) | 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 | ||||||||
\(795\) | 1.22548 | + | 1.62261i | 0.0434632 | + | 0.0575482i | ||||
\(796\) | 1.73205 | + | 3.00000i | 0.0613909 | + | 0.106332i | ||||
\(797\) | −20.1563 | + | 34.9118i | −0.713973 | + | 1.23664i | 0.249381 | + | 0.968405i | \(0.419773\pi\) |
−0.963354 | + | 0.268232i | \(0.913561\pi\) | |||||||
\(798\) | −1.75224 | − | 14.1445i | −0.0620286 | − | 0.500711i | ||||
\(799\) | 7.85641 | + | 29.3205i | 0.277940 | + | 1.03729i | ||||
\(800\) | −1.06488 | − | 3.97420i | −0.0376493 | − | 0.140509i | ||||
\(801\) | 24.0264 | + | 14.3660i | 0.848929 | + | 0.507596i | ||||
\(802\) | 9.37564 | − | 16.2391i | 0.331066 | − | 0.573422i | ||||
\(803\) | 2.62398 | + | 4.54486i | 0.0925982 | + | 0.160385i | ||||
\(804\) | −2.19773 | + | 1.65983i | −0.0775079 | + | 0.0585377i | ||||
\(805\) | 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 | −0.0141514 | − | 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 | \(-0.593616\pi\) |
0.957062 | + | 0.289882i | \(0.0936161\pi\) | |||||||
\(812\) | −2.62398 | + | 0.703093i | −0.0920836 | + | 0.0246737i | ||||
\(813\) | 12.3259 | + | 5.21634i | 0.432289 | + | 0.182945i | ||||
\(814\) | −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 | ||||
\(817\) | 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 | \(0.353900\pi\) |
−0.831935 | + | 0.554873i | \(0.812767\pi\) | |||||||
\(822\) | −2.42177 | + | 17.3679i | −0.0844690 | + | 0.605774i | ||||
\(823\) | 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 | ||||
\(825\) | 17.9300 | + | 7.58798i | 0.624242 | + | 0.264180i | ||||
\(826\) | −6.19615 | + | 1.66025i | −0.215592 | + | 0.0577676i | ||||
\(827\) | 31.7936 | − | 31.7936i | 1.10557 | − | 1.10557i | 0.111845 | − | 0.993726i | \(-0.464324\pi\) |
0.993726 | − | 0.111845i | \(-0.0356760\pi\) | |||||||
\(828\) | 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 | ||||||
\(834\) | −38.2832 | + | 28.9133i | −1.32564 | + | 1.00119i | ||||
\(835\) | −10.1244 | − | 17.5359i | −0.350368 | − | 0.606855i | ||||
\(836\) | −2.12976 | + | 3.68886i | −0.0736595 | + | 0.127582i | ||||
\(837\) | −6.54383 | − | 16.8836i | −0.226188 | − | 0.583582i | ||||
\(838\) | −3.70577 | − | 13.8301i | −0.128014 | − | 0.477754i | ||||
\(839\) | −2.62398 | − | 9.79282i | −0.0905898 | − | 0.338086i | 0.905724 | − | 0.423868i | \(-0.139328\pi\) |
−0.996314 | + | 0.0857819i | \(0.972661\pi\) | |||||||
\(840\) | 1.18295 | + | 9.54910i | 0.0408157 | + | 0.329475i | ||||
\(841\) | 11.1962 | − | 19.3923i | 0.386074 | − | 0.668700i | ||||
\(842\) | −8.33816 | − | 14.4421i | −0.287352 | − | 0.497708i | ||||
\(843\) | −17.9091 | − | 23.7128i | −0.616822 | − | 0.816714i | ||||
\(844\) | − | 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 | ||||
\(849\) | −4.28626 | − | 10.5760i | −0.147104 | − | 0.362967i | ||||
\(850\) | −14.6603 | + | 14.6603i | −0.502843 | + | 0.502843i | ||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 0.544793 | − | 1.28731i | 0.0186643 | − | 0.0441027i | ||||
\(853\) | −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 | ||||
\(855\) | −12.5305 | + | 12.1530i | −0.428534 | + | 0.415623i | ||||
\(856\) | −12.8372 | + | 47.9090i | −0.438765 | + | 1.63749i | ||||
\(857\) | −3.32707 | −0.113651 | −0.0568253 | − | 0.998384i | \(-0.518098\pi\) | ||||
−0.0568253 | + | 0.998384i | \(0.518098\pi\) | |||||||
\(858\) | 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 | ||||
\(861\) | 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 | 0.945721 | − | 0.324980i | \(-0.105358\pi\) |
−0.324980 | + | 0.945721i | \(0.605358\pi\) | |||||||
\(864\) | −1.19909 | + | 7.73284i | −0.0407940 | + | 0.263077i | ||||
\(865\) | −25.3923 | + | 6.80385i | −0.863364 | + | 0.231338i | ||||
\(866\) | −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 | ||||
\(869\) | −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 | ||||||
\(873\) | −0.0776093 | + | 5.07425i | −0.00262668 | + | 0.171737i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 8.23373 | − | 14.2612i | 0.278351 | − | 0.482118i | ||||
\(876\) | 0.587477 | − | 0.0727771i | 0.0198490 | − | 0.00245891i | ||||
\(877\) | −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 | ||||
\(879\) | −3.09640 | + | 0.383584i | −0.104439 | + | 0.0129380i | ||||
\(880\) | 13.8301 | − | 23.9545i | 0.466213 | − | 0.807505i | ||||
\(881\) | −11.7417 | − | 20.3372i | −0.395588 | − | 0.685178i | 0.597588 | − | 0.801803i | \(-0.296126\pi\) |
−0.993176 | + | 0.116625i | \(0.962792\pi\) | |||||||
\(882\) | −0.345461 | + | 22.5869i | −0.0116323 | + | 0.760541i | ||||
\(883\) | 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 | −0.819981 | − | 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 | ||||
\(890\) | −20.4416 | + | 5.47732i | −0.685206 | + | 0.183600i | ||||
\(891\) | −25.3708 | − | 26.9723i | −0.849954 | − | 0.903607i | ||||
\(892\) | 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 | ||||
\(895\) | 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 | ||||
\(900\) | 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 | ||||
\(903\) | 2.09657 | − | 4.95408i | 0.0697695 | − | 0.164861i | ||||
\(904\) | 25.9186 | − | 6.94486i | 0.862039 | − | 0.230983i | ||||
\(905\) | 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 | −0.229848 | − | 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 | \(0.00822209\pi\) | ||||
−0.999666 | + | 0.0258276i | \(0.991778\pi\) | |||||||
\(912\) | −18.0046 | − | 23.8393i | −0.596191 | − | 0.789398i | ||||
\(913\) | 8.46410 | + | 14.6603i | 0.280121 | + | 0.485184i | ||||
\(914\) | −2.93730 | + | 5.08755i | −0.0971572 | + | 0.168281i | ||||
\(915\) | 2.24477 | + | 18.1204i | 0.0742099 | + | 0.599043i | ||||
\(916\) | 1.38526 | + | 5.16987i | 0.0457704 | + | 0.170817i | ||||
\(917\) | −2.90931 | − | 10.8577i | −0.0960740 | − | 0.358553i | ||||
\(918\) | 36.7670 | − | 14.2504i | 1.21349 | − | 0.470333i | ||||
\(919\) | −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 | ||||||||
\(921\) | 16.4041 | − | 12.3892i | 0.540533 | − | 0.408236i | ||||
\(922\) | − | 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 | ||||
\(927\) | 5.68585 | − | 19.9918i | 0.186748 | − | 0.656616i | ||||
\(928\) | −7.63397 | + | 7.63397i | −0.250597 | + | 0.250597i | ||||
\(929\) | −19.6901 | + | 5.27594i | −0.646011 | + | 0.173098i | −0.566924 | − | 0.823770i | \(-0.691867\pi\) |
−0.0790861 | + | 0.996868i | \(0.525200\pi\) | |||||||
\(930\) | 12.6064 | + | 5.33506i | 0.413381 | + | 0.174943i | ||||
\(931\) | −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 | ||||
\(934\) | −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 | ||||
\(939\) | 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 | 0.840285 | − | 0.542144i | \(-0.182387\pi\) |
−0.542144 | + | 0.840285i | \(0.682387\pi\) | |||||||
\(942\) | −11.5396 | − | 4.88358i | −0.375981 | − | 0.159116i | ||||
\(943\) | 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 | ||||
\(947\) | −10.3635 | − | 2.77689i | −0.336768 | − | 0.0902368i | 0.0864720 | − | 0.996254i | \(-0.472441\pi\) |
−0.423240 | + | 0.906018i | \(0.639107\pi\) | |||||||
\(948\) | −0.570669 | + | 0.732051i | −0.0185345 | + | 0.0237759i | ||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 15.8968i | 0.515760i | ||||||||
\(951\) | 22.1891 | − | 16.7583i | 0.719531 | − | 0.543425i | ||||
\(952\) | 9.29423 | + | 16.0981i | 0.301228 | + | 0.521742i | ||||
\(953\) | 0.988427 | − | 1.71201i | 0.0320183 | − | 0.0554573i | −0.849572 | − | 0.527472i | \(-0.823140\pi\) |
0.881591 | + | 0.472015i | \(0.156473\pi\) | |||||||
\(954\) | −3.02279 | − | 1.80740i | −0.0978666 | − | 0.0585169i | ||||
\(955\) | −1.88269 | − | 7.02628i | −0.0609223 | − | 0.227365i | ||||
\(956\) | 0.647124 | + | 2.41510i | 0.0209295 | + | 0.0781099i | ||||
\(957\) | −6.28076 | − | 50.7000i | −0.203028 | − | 1.63890i | ||||
\(958\) | −15.4904 | + | 26.8301i | −0.500471 | + | 0.866842i | ||||
\(959\) | −4.75374 | − | 8.23373i | −0.153506 | − | 0.265881i | ||||
\(960\) | 10.4701 | + | 13.8632i | 0.337923 | + | 0.447432i | ||||
\(961\) | 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 | ||||
\(969\) | −13.1428 | + | 31.0556i | −0.422207 | + | 0.997651i | ||||
\(970\) | −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 | ||||
\(973\) | 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 | \(-0.792939\pi\) |
0.991959 | − | 0.126562i | \(-0.0403943\pi\) | |||||||
\(978\) | 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 | ||||
\(981\) | 48.9082 | − | 27.2485i | 1.56152 | − | 0.869978i | ||||
\(982\) | 41.4904 | − | 11.1173i | 1.32401 | − | 0.354768i | ||||
\(983\) | 30.4433 | − | 30.4433i | 0.970992 | − | 0.970992i | −0.0285990 | − | 0.999591i | \(-0.509105\pi\) |
0.999591 | + | 0.0285990i | \(0.00910459\pi\) | |||||||
\(984\) | 23.5330 | − | 9.53754i | 0.750206 | − | 0.304046i | ||||
\(985\) | 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 | ||||||||
\(990\) | 27.9904 | + | 0.428106i | 0.889594 | + | 0.0136061i | ||||
\(991\) | 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 | ||||
\(993\) | 58.8186 | − | 7.28650i | 1.86655 | − | 0.231230i | ||||
\(994\) | 1.66025 | + | 6.19615i | 0.0526601 | + | 0.196530i | ||||
\(995\) | 5.03908 | + | 18.8061i | 0.159750 | + | 0.596193i | ||||
\(996\) | 1.89501 | − | 0.234755i | 0.0600457 | − | 0.00743851i | ||||
\(997\) | 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 | ||||
\(999\) | 21.9305 | + | 17.6416i | 0.693850 | + | 0.558156i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))