Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [416,2,Mod(53,416)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(416, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("416.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 416 = 2^{5} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 416.bf (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.32177672409\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 53.17 | ||
Character | \(\chi\) | \(=\) | 416.53 |
Dual form | 416.2.bf.a.157.17 |
$q$-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 \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(287\) | \(353\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.706943 | − | 1.22484i | −0.499884 | − | 0.866092i | ||||
\(3\) | −3.07212 | + | 1.27251i | −1.77369 | + | 0.734685i | −0.779577 | + | 0.626306i | \(0.784566\pi\) |
−0.994110 | + | 0.108379i | \(0.965434\pi\) | |||||||
\(4\) | −1.00046 | + | 1.73178i | −0.500231 | + | 0.865892i | ||||
\(5\) | 0.840287 | − | 2.02863i | 0.375788 | − | 0.907232i | −0.616958 | − | 0.786996i | \(-0.711635\pi\) |
0.992745 | − | 0.120236i | \(-0.0383650\pi\) | |||||||
\(6\) | 3.73043 | + | 2.86325i | 1.52294 | + | 1.16892i | ||||
\(7\) | −1.05731 | − | 1.05731i | −0.399625 | − | 0.399625i | 0.478476 | − | 0.878101i | \(-0.341189\pi\) |
−0.878101 | + | 0.478476i | \(0.841189\pi\) | |||||||
\(8\) | 2.82843 | + | 0.00113391i | 1.00000 | + | 0.000400896i | ||||
\(9\) | 5.69729 | − | 5.69729i | 1.89910 | − | 1.89910i | ||||
\(10\) | −3.07878 | + | 0.404911i | −0.973597 | + | 0.128044i | ||||
\(11\) | −2.23858 | − | 0.927249i | −0.674957 | − | 0.279576i | 0.0187602 | − | 0.999824i | \(-0.494028\pi\) |
−0.693717 | + | 0.720248i | \(0.744028\pi\) | |||||||
\(12\) | 0.869822 | − | 6.59334i | 0.251096 | − | 1.90333i | ||||
\(13\) | −0.382683 | − | 0.923880i | −0.106137 | − | 0.256238i | ||||
\(14\) | −0.547576 | + | 2.04249i | −0.146346 | + | 0.545879i | ||||
\(15\) | 7.30147i | 1.88523i | ||||||||
\(16\) | −1.99815 | − | 3.46517i | −0.499537 | − | 0.866293i | ||||
\(17\) | 6.89532i | 1.67236i | 0.548454 | + | 0.836181i | \(0.315217\pi\) | ||||
−0.548454 | + | 0.836181i | \(0.684783\pi\) | |||||||
\(18\) | −11.0059 | − | 2.95060i | −2.59412 | − | 0.695464i | ||||
\(19\) | −1.11025 | − | 2.68038i | −0.254709 | − | 0.614922i | 0.743864 | − | 0.668332i | \(-0.232991\pi\) |
−0.998573 | + | 0.0534092i | \(0.982991\pi\) | |||||||
\(20\) | 2.67248 | + | 3.48477i | 0.597584 | + | 0.779218i | ||||
\(21\) | 4.59361 | + | 1.90274i | 1.00241 | + | 0.415211i | ||||
\(22\) | 0.446816 | + | 3.39741i | 0.0952615 | + | 0.724331i | ||||
\(23\) | −1.82706 | + | 1.82706i | −0.380968 | + | 0.380968i | −0.871451 | − | 0.490483i | \(-0.836820\pi\) |
0.490483 | + | 0.871451i | \(0.336820\pi\) | |||||||
\(24\) | −8.69070 | + | 3.59572i | −1.77398 | + | 0.733974i | ||||
\(25\) | 0.126266 | + | 0.126266i | 0.0252533 | + | 0.0252533i | ||||
\(26\) | −0.861069 | + | 1.12186i | −0.168869 | + | 0.220014i | ||||
\(27\) | −6.43532 | + | 15.5362i | −1.23848 | + | 2.98995i | ||||
\(28\) | 2.88883 | − | 0.773232i | 0.545937 | − | 0.146127i | ||||
\(29\) | −6.09051 | + | 2.52277i | −1.13098 | + | 0.468467i | −0.868113 | − | 0.496366i | \(-0.834667\pi\) |
−0.262865 | + | 0.964833i | \(0.584667\pi\) | |||||||
\(30\) | 8.94313 | − | 5.16172i | 1.63278 | − | 0.942397i | ||||
\(31\) | 0.600079 | 0.107777 | 0.0538887 | − | 0.998547i | \(-0.482838\pi\) | ||||
0.0538887 | + | 0.998547i | \(0.482838\pi\) | |||||||
\(32\) | −2.83170 | + | 4.89709i | −0.500579 | + | 0.865691i | ||||
\(33\) | 8.05711 | 1.40256 | ||||||||
\(34\) | 8.44566 | − | 4.87460i | 1.44842 | − | 0.835987i | ||||
\(35\) | −3.03333 | + | 1.25645i | −0.512727 | + | 0.212379i | ||||
\(36\) | 4.16654 | + | 15.5664i | 0.694424 | + | 2.59440i | ||||
\(37\) | −2.37525 | + | 5.73436i | −0.390489 | + | 0.942723i | 0.599345 | + | 0.800491i | \(0.295428\pi\) |
−0.989833 | + | 0.142232i | \(0.954572\pi\) | |||||||
\(38\) | −2.49816 | + | 3.25476i | −0.405254 | + | 0.527992i | ||||
\(39\) | 2.35130 | + | 2.35130i | 0.376509 | + | 0.376509i | ||||
\(40\) | 2.37899 | − | 5.73689i | 0.376152 | − | 0.907081i | ||||
\(41\) | −1.89745 | + | 1.89745i | −0.296332 | + | 0.296332i | −0.839575 | − | 0.543243i | \(-0.817196\pi\) |
0.543243 | + | 0.839575i | \(0.317196\pi\) | |||||||
\(42\) | −0.916876 | − | 6.97157i | −0.141477 | − | 1.07574i | ||||
\(43\) | 7.35282 | + | 3.04564i | 1.12129 | + | 0.464455i | 0.864813 | − | 0.502094i | \(-0.167437\pi\) |
0.256481 | + | 0.966549i | \(0.417437\pi\) | |||||||
\(44\) | 3.84541 | − | 2.94905i | 0.579717 | − | 0.444587i | ||||
\(45\) | −6.77035 | − | 16.3451i | −1.00926 | − | 2.43658i | ||||
\(46\) | 3.52948 | + | 0.946227i | 0.520393 | + | 0.139514i | ||||
\(47\) | 8.80706i | 1.28464i | 0.766436 | + | 0.642321i | \(0.222028\pi\) | ||||
−0.766436 | + | 0.642321i | \(0.777972\pi\) | |||||||
\(48\) | 10.5480 | + | 8.10274i | 1.52247 | + | 1.16953i | ||||
\(49\) | − | 4.76420i | − | 0.680599i | ||||||
\(50\) | 0.0653928 | − | 0.243919i | 0.00924794 | − | 0.0344953i | ||||
\(51\) | −8.77438 | − | 21.1832i | −1.22866 | − | 2.96625i | ||||
\(52\) | 1.98282 | + | 0.261582i | 0.274968 | + | 0.0362749i | ||||
\(53\) | −10.9745 | − | 4.54578i | −1.50746 | − | 0.624411i | −0.532429 | − | 0.846474i | \(-0.678721\pi\) |
−0.975032 | + | 0.222063i | \(0.928721\pi\) | |||||||
\(54\) | 23.5788 | − | 3.10100i | 3.20867 | − | 0.421993i | ||||
\(55\) | −3.76210 | + | 3.76210i | −0.507281 | + | 0.507281i | ||||
\(56\) | −2.98932 | − | 2.99172i | −0.399465 | − | 0.399785i | ||||
\(57\) | 6.82164 | + | 6.82164i | 0.903548 | + | 0.903548i | ||||
\(58\) | 7.39563 | + | 5.67644i | 0.971094 | + | 0.745353i | ||||
\(59\) | 2.29877 | − | 5.54971i | 0.299274 | − | 0.722511i | −0.700685 | − | 0.713470i | \(-0.747122\pi\) |
0.999959 | − | 0.00904045i | \(-0.00287771\pi\) | |||||||
\(60\) | −12.6446 | − | 7.30485i | −1.63241 | − | 0.943052i | ||||
\(61\) | −11.6640 | + | 4.83140i | −1.49342 | + | 0.618597i | −0.972059 | − | 0.234736i | \(-0.924577\pi\) |
−0.521366 | + | 0.853333i | \(0.674577\pi\) | |||||||
\(62\) | −0.424222 | − | 0.735000i | −0.0538762 | − | 0.0933451i | ||||
\(63\) | −12.0476 | −1.51785 | ||||||||
\(64\) | 8.00000 | + | 0.00641434i | 1.00000 | + | 0.000801793i | ||||
\(65\) | −2.19578 | −0.272353 | ||||||||
\(66\) | −5.69592 | − | 9.86866i | −0.701119 | − | 1.21475i | ||||
\(67\) | 2.96767 | − | 1.22925i | 0.362559 | − | 0.150177i | −0.193965 | − | 0.981008i | \(-0.562135\pi\) |
0.556524 | + | 0.830832i | \(0.312135\pi\) | |||||||
\(68\) | −11.9412 | − | 6.89852i | −1.44808 | − | 0.836568i | ||||
\(69\) | 3.28798 | − | 7.93789i | 0.395826 | − | 0.955610i | ||||
\(70\) | 3.68334 | + | 2.82711i | 0.440244 | + | 0.337904i | ||||
\(71\) | −2.14910 | − | 2.14910i | −0.255051 | − | 0.255051i | 0.567986 | − | 0.823038i | \(-0.307723\pi\) |
−0.823038 | + | 0.567986i | \(0.807723\pi\) | |||||||
\(72\) | 16.1208 | − | 16.1079i | 1.89986 | − | 1.89833i | ||||
\(73\) | −0.189225 | + | 0.189225i | −0.0221472 | + | 0.0221472i | −0.718094 | − | 0.695946i | \(-0.754985\pi\) |
0.695946 | + | 0.718094i | \(0.254985\pi\) | |||||||
\(74\) | 8.70284 | − | 1.14457i | 1.01168 | − | 0.133053i | ||||
\(75\) | −0.548580 | − | 0.227229i | −0.0633445 | − | 0.0262382i | ||||
\(76\) | 5.75261 | + | 0.758910i | 0.659870 | + | 0.0870529i | ||||
\(77\) | 1.38648 | + | 3.34726i | 0.158004 | + | 0.381455i | ||||
\(78\) | 1.21773 | − | 4.54219i | 0.137880 | − | 0.514302i | ||||
\(79\) | 5.43668i | 0.611674i | 0.952084 | + | 0.305837i | \(0.0989363\pi\) | ||||
−0.952084 | + | 0.305837i | \(0.901064\pi\) | |||||||
\(80\) | −8.70858 | + | 1.14177i | −0.973648 | + | 0.127654i | ||||
\(81\) | − | 31.7466i | − | 3.52740i | ||||||
\(82\) | 3.66547 | + | 0.982684i | 0.404783 | + | 0.108519i | ||||
\(83\) | 5.85721 | + | 14.1406i | 0.642912 | + | 1.55213i | 0.822733 | + | 0.568428i | \(0.192448\pi\) |
−0.179821 | + | 0.983699i | \(0.557552\pi\) | |||||||
\(84\) | −7.89087 | + | 6.05153i | −0.860964 | + | 0.660276i | ||||
\(85\) | 13.9881 | + | 5.79405i | 1.51722 | + | 0.628453i | ||||
\(86\) | −1.46761 | − | 11.1591i | −0.158256 | − | 1.20332i | ||||
\(87\) | 15.5005 | − | 15.5005i | 1.66183 | − | 1.66183i | ||||
\(88\) | −6.33060 | − | 2.62520i | −0.674845 | − | 0.279847i | ||||
\(89\) | 11.8476 | + | 11.8476i | 1.25584 | + | 1.25584i | 0.953061 | + | 0.302777i | \(0.0979137\pi\) |
0.302777 | + | 0.953061i | \(0.402086\pi\) | |||||||
\(90\) | −15.2338 | + | 19.8476i | −1.60579 | + | 2.09212i | ||||
\(91\) | −0.572211 | + | 1.38144i | −0.0599841 | + | 0.144814i | ||||
\(92\) | −1.33617 | − | 4.99197i | −0.139305 | − | 0.520449i | ||||
\(93\) | −1.84351 | + | 0.763608i | −0.191163 | + | 0.0791824i | ||||
\(94\) | 10.7872 | − | 6.22609i | 1.11262 | − | 0.642172i | ||||
\(95\) | −6.37044 | −0.653594 | ||||||||
\(96\) | 2.46771 | − | 18.6478i | 0.251859 | − | 1.90323i | ||||
\(97\) | −4.15797 | −0.422178 | −0.211089 | − | 0.977467i | \(-0.567701\pi\) | ||||
−0.211089 | + | 0.977467i | \(0.567701\pi\) | |||||||
\(98\) | −5.83537 | + | 3.36802i | −0.589462 | + | 0.340221i | ||||
\(99\) | −18.0366 | + | 7.47102i | −1.81275 | + | 0.750865i | ||||
\(100\) | −0.344991 | + | 0.0923411i | −0.0344991 | + | 0.00923411i | ||||
\(101\) | −4.93192 | + | 11.9067i | −0.490745 | + | 1.18476i | 0.463597 | + | 0.886046i | \(0.346559\pi\) |
−0.954342 | + | 0.298717i | \(0.903441\pi\) | |||||||
\(102\) | −19.7431 | + | 25.7225i | −1.95486 | + | 2.54691i | ||||
\(103\) | 1.21280 | + | 1.21280i | 0.119501 | + | 0.119501i | 0.764328 | − | 0.644827i | \(-0.223071\pi\) |
−0.644827 | + | 0.764328i | \(0.723071\pi\) | |||||||
\(104\) | −1.08134 | − | 2.61356i | −0.106035 | − | 0.256281i | ||||
\(105\) | 7.71991 | − | 7.71991i | 0.753386 | − | 0.753386i | ||||
\(106\) | 2.19049 | + | 16.6556i | 0.212759 | + | 1.61773i | ||||
\(107\) | −3.57812 | − | 1.48210i | −0.345910 | − | 0.143280i | 0.202963 | − | 0.979186i | \(-0.434943\pi\) |
−0.548873 | + | 0.835906i | \(0.684943\pi\) | |||||||
\(108\) | −20.4671 | − | 26.6880i | −1.96945 | − | 2.56806i | ||||
\(109\) | −0.0783483 | − | 0.189150i | −0.00750441 | − | 0.0181172i | 0.920083 | − | 0.391724i | \(-0.128121\pi\) |
−0.927587 | + | 0.373606i | \(0.878121\pi\) | |||||||
\(110\) | 7.26755 | + | 1.94838i | 0.692934 | + | 0.185770i | ||||
\(111\) | − | 20.6392i | − | 1.95898i | ||||||
\(112\) | −1.55110 | + | 5.77641i | −0.146565 | + | 0.545820i | ||||
\(113\) | − | 14.4049i | − | 1.35510i | −0.735478 | − | 0.677549i | \(-0.763042\pi\) | ||
0.735478 | − | 0.677549i | \(-0.236958\pi\) | |||||||
\(114\) | 3.53290 | − | 13.1779i | 0.330887 | − | 1.23423i | ||||
\(115\) | 2.17118 | + | 5.24169i | 0.202463 | + | 0.488790i | ||||
\(116\) | 1.72443 | − | 13.0714i | 0.160110 | − | 1.21365i | ||||
\(117\) | −7.44386 | − | 3.08335i | −0.688186 | − | 0.285056i | ||||
\(118\) | −8.42260 | + | 1.10771i | −0.775363 | + | 0.101973i | ||||
\(119\) | 7.29049 | − | 7.29049i | 0.668318 | − | 0.668318i | ||||
\(120\) | −0.00827918 | + | 20.6517i | −0.000755782 | + | 1.88523i | ||||
\(121\) | −3.62673 | − | 3.62673i | −0.329703 | − | 0.329703i | ||||
\(122\) | 14.1635 | + | 10.8710i | 1.28230 | + | 0.984217i | ||||
\(123\) | 3.41466 | − | 8.24372i | 0.307890 | − | 0.743312i | ||||
\(124\) | −0.600357 | + | 1.03921i | −0.0539136 | + | 0.0933235i | ||||
\(125\) | 10.5054 | − | 4.35148i | 0.939632 | − | 0.389209i | ||||
\(126\) | 8.51696 | + | 14.7564i | 0.758751 | + | 1.31460i | ||||
\(127\) | −0.940625 | −0.0834670 | −0.0417335 | − | 0.999129i | \(-0.513288\pi\) | ||||
−0.0417335 | + | 0.999129i | \(0.513288\pi\) | |||||||
\(128\) | −5.64769 | − | 9.80325i | −0.499190 | − | 0.866493i | ||||
\(129\) | −26.4643 | −2.33005 | ||||||||
\(130\) | 1.55229 | + | 2.68947i | 0.136145 | + | 0.235882i | ||||
\(131\) | −6.43157 | + | 2.66405i | −0.561929 | + | 0.232759i | −0.645523 | − | 0.763741i | \(-0.723360\pi\) |
0.0835932 | + | 0.996500i | \(0.473360\pi\) | |||||||
\(132\) | −8.06084 | + | 13.9532i | −0.701606 | + | 1.21447i | ||||
\(133\) | −1.66012 | + | 4.00787i | −0.143950 | + | 0.347527i | ||||
\(134\) | −3.60361 | − | 2.76591i | −0.311304 | − | 0.238938i | ||||
\(135\) | 26.1098 | + | 26.1098i | 2.24717 | + | 2.24717i | ||||
\(136\) | −0.00781865 | + | 19.5029i | −0.000670444 | + | 1.67236i | ||||
\(137\) | −8.86704 | + | 8.86704i | −0.757562 | + | 0.757562i | −0.975878 | − | 0.218316i | \(-0.929944\pi\) |
0.218316 | + | 0.975878i | \(0.429944\pi\) | |||||||
\(138\) | −12.0471 | + | 1.58439i | −1.02551 | + | 0.134872i | ||||
\(139\) | 10.1791 | + | 4.21634i | 0.863384 | + | 0.357625i | 0.770030 | − | 0.638008i | \(-0.220241\pi\) |
0.0933539 | + | 0.995633i | \(0.470241\pi\) | |||||||
\(140\) | 0.858842 | − | 6.51011i | 0.0725854 | − | 0.550205i | ||||
\(141\) | −11.2071 | − | 27.0563i | −0.943807 | − | 2.27855i | ||||
\(142\) | −1.11301 | + | 4.15160i | −0.0934019 | + | 0.348394i | ||||
\(143\) | 2.42302i | 0.202623i | ||||||||
\(144\) | −31.1261 | − | 8.35805i | −2.59384 | − | 0.696504i | ||||
\(145\) | 14.4753i | 1.20210i | ||||||||
\(146\) | 0.365542 | + | 0.0979991i | 0.0302525 | + | 0.00811046i | ||||
\(147\) | 6.06250 | + | 14.6362i | 0.500026 | + | 1.20717i | ||||
\(148\) | −7.55432 | − | 9.85044i | −0.620962 | − | 0.809701i | ||||
\(149\) | 2.09345 | + | 0.867136i | 0.171502 | + | 0.0710386i | 0.466783 | − | 0.884372i | \(-0.345413\pi\) |
−0.295280 | + | 0.955411i | \(0.595413\pi\) | |||||||
\(150\) | 0.109495 | + | 0.832560i | 0.00894027 | + | 0.0679783i | ||||
\(151\) | 8.41108 | − | 8.41108i | 0.684484 | − | 0.684484i | −0.276523 | − | 0.961007i | \(-0.589182\pi\) |
0.961007 | + | 0.276523i | \(0.0891823\pi\) | |||||||
\(152\) | −3.13723 | − | 7.58253i | −0.254463 | − | 0.615024i | ||||
\(153\) | 39.2846 | + | 39.2846i | 3.17598 | + | 3.17598i | ||||
\(154\) | 3.11969 | − | 4.06454i | 0.251392 | − | 0.327530i | ||||
\(155\) | 0.504239 | − | 1.21734i | 0.0405014 | − | 0.0977791i | ||||
\(156\) | −6.42432 | + | 1.71955i | −0.514357 | + | 0.137674i | ||||
\(157\) | −1.29387 | + | 0.535938i | −0.103262 | + | 0.0427725i | −0.433716 | − | 0.901049i | \(-0.642798\pi\) |
0.330454 | + | 0.943822i | \(0.392798\pi\) | |||||||
\(158\) | 6.65906 | − | 3.84342i | 0.529766 | − | 0.305766i | ||||
\(159\) | 39.4994 | 3.13251 | ||||||||
\(160\) | 7.55495 | + | 9.85944i | 0.597271 | + | 0.779457i | ||||
\(161\) | 3.86353 | 0.304489 | ||||||||
\(162\) | −38.8845 | + | 22.4431i | −3.05506 | + | 1.76329i | ||||
\(163\) | −3.84508 | + | 1.59268i | −0.301170 | + | 0.124749i | −0.528151 | − | 0.849151i | \(-0.677114\pi\) |
0.226981 | + | 0.973899i | \(0.427114\pi\) | |||||||
\(164\) | −1.38765 | − | 5.18431i | −0.108357 | − | 0.404826i | ||||
\(165\) | 6.77028 | − | 16.3449i | 0.527066 | − | 1.27245i | ||||
\(166\) | 13.1792 | − | 17.1707i | 1.02290 | − | 1.33271i | ||||
\(167\) | −14.9696 | − | 14.9696i | −1.15839 | − | 1.15839i | −0.984823 | − | 0.173563i | \(-0.944472\pi\) |
−0.173563 | − | 0.984823i | \(-0.555528\pi\) | |||||||
\(168\) | 12.9905 | + | 5.38696i | 1.00224 | + | 0.415613i | ||||
\(169\) | −0.707107 | + | 0.707107i | −0.0543928 | + | 0.0543928i | ||||
\(170\) | −2.79199 | − | 21.2292i | −0.214136 | − | 1.62821i | ||||
\(171\) | −21.5963 | − | 8.94550i | −1.65151 | − | 0.684079i | ||||
\(172\) | −12.6306 | + | 9.68645i | −0.963075 | + | 0.738585i | ||||
\(173\) | −0.551863 | − | 1.33231i | −0.0419573 | − | 0.101294i | 0.901512 | − | 0.432755i | \(-0.142458\pi\) |
−0.943469 | + | 0.331461i | \(0.892458\pi\) | |||||||
\(174\) | −29.9436 | − | 8.02764i | −2.27002 | − | 0.608574i | ||||
\(175\) | − | 0.267005i | − | 0.0201837i | ||||||
\(176\) | 1.25993 | + | 9.60984i | 0.0949711 | + | 0.724369i | ||||
\(177\) | 19.9746i | 1.50138i | ||||||||
\(178\) | 6.13580 | − | 22.8869i | 0.459898 | − | 1.71545i | ||||
\(179\) | −3.89384 | − | 9.40055i | −0.291039 | − | 0.702630i | 0.708958 | − | 0.705251i | \(-0.249166\pi\) |
−0.999997 | + | 0.00262075i | \(0.999166\pi\) | |||||||
\(180\) | 35.0796 | + | 4.62785i | 2.61468 | + | 0.344940i | ||||
\(181\) | 2.94135 | + | 1.21835i | 0.218629 | + | 0.0905590i | 0.489310 | − | 0.872110i | \(-0.337249\pi\) |
−0.270681 | + | 0.962669i | \(0.587249\pi\) | |||||||
\(182\) | 2.09656 | − | 0.275733i | 0.155408 | − | 0.0204387i | ||||
\(183\) | 29.6852 | − | 29.6852i | 2.19439 | − | 2.19439i | ||||
\(184\) | −5.16977 | + | 5.16563i | −0.381121 | + | 0.380815i | ||||
\(185\) | 9.63702 | + | 9.63702i | 0.708528 | + | 0.708528i | ||||
\(186\) | 2.23855 | + | 1.71818i | 0.164139 | + | 0.125983i | ||||
\(187\) | 6.39369 | − | 15.4357i | 0.467553 | − | 1.12877i | ||||
\(188\) | −15.2519 | − | 8.81114i | −1.11236 | − | 0.642618i | ||||
\(189\) | 23.2307 | − | 9.62248i | 1.68979 | − | 0.699933i | ||||
\(190\) | 4.50354 | + | 7.80277i | 0.326721 | + | 0.566072i | ||||
\(191\) | −19.7377 | −1.42817 | −0.714085 | − | 0.700059i | \(-0.753157\pi\) | ||||
−0.714085 | + | 0.700059i | \(0.753157\pi\) | |||||||
\(192\) | −24.5851 | + | 10.1604i | −1.77428 | + | 0.733263i | ||||
\(193\) | 7.01268 | 0.504784 | 0.252392 | − | 0.967625i | \(-0.418783\pi\) | ||||
0.252392 | + | 0.967625i | \(0.418783\pi\) | |||||||
\(194\) | 2.93945 | + | 5.09285i | 0.211040 | + | 0.365645i | ||||
\(195\) | 6.74568 | − | 2.79415i | 0.483068 | − | 0.200093i | ||||
\(196\) | 8.25056 | + | 4.76640i | 0.589325 | + | 0.340457i | ||||
\(197\) | 3.26525 | − | 7.88301i | 0.232639 | − | 0.561641i | −0.763847 | − | 0.645398i | \(-0.776692\pi\) |
0.996486 | + | 0.0837563i | \(0.0266917\pi\) | |||||||
\(198\) | 21.9017 | + | 16.8104i | 1.55648 | + | 1.19466i | ||||
\(199\) | 11.4609 | + | 11.4609i | 0.812440 | + | 0.812440i | 0.984999 | − | 0.172559i | \(-0.0552035\pi\) |
−0.172559 | + | 0.984999i | \(0.555204\pi\) | |||||||
\(200\) | 0.356992 | + | 0.357278i | 0.0252431 | + | 0.0252634i | ||||
\(201\) | −7.55279 | + | 7.55279i | −0.532733 | + | 0.532733i | ||||
\(202\) | 18.0704 | − | 2.37656i | 1.27143 | − | 0.167214i | ||||
\(203\) | 9.10690 | + | 3.77220i | 0.639179 | + | 0.264756i | ||||
\(204\) | 45.4632 | + | 5.99771i | 3.18306 | + | 0.419924i | ||||
\(205\) | 2.25483 | + | 5.44364i | 0.157484 | + | 0.380200i | ||||
\(206\) | 0.628104 | − | 2.34286i | 0.0437621 | − | 0.163235i | ||||
\(207\) | 20.8186i | 1.44699i | ||||||||
\(208\) | −2.43674 | + | 3.17211i | −0.168958 | + | 0.219946i | ||||
\(209\) | 7.02973i | 0.486257i | ||||||||
\(210\) | −14.9132 | − | 3.99811i | −1.02911 | − | 0.275896i | ||||
\(211\) | 1.16190 | + | 2.80508i | 0.0799886 | + | 0.193110i | 0.958815 | − | 0.284033i | \(-0.0916725\pi\) |
−0.878826 | + | 0.477143i | \(0.841673\pi\) | |||||||
\(212\) | 18.8519 | − | 14.4575i | 1.29475 | − | 0.992948i | ||||
\(213\) | 9.33705 | + | 3.86753i | 0.639764 | + | 0.264999i | ||||
\(214\) | 0.714185 | + | 5.43038i | 0.0488207 | + | 0.371213i | ||||
\(215\) | 12.3570 | − | 12.3570i | 0.842738 | − | 0.842738i | ||||
\(216\) | −18.2195 | + | 43.9358i | −1.23968 | + | 2.98945i | ||||
\(217\) | −0.634469 | − | 0.634469i | −0.0430705 | − | 0.0430705i | ||||
\(218\) | −0.176290 | + | 0.229682i | −0.0119399 | + | 0.0155560i | ||||
\(219\) | 0.340531 | − | 0.822114i | 0.0230109 | − | 0.0555533i | ||||
\(220\) | −2.75130 | − | 10.2790i | −0.185493 | − | 0.693008i | ||||
\(221\) | 6.37045 | − | 2.63873i | 0.428523 | − | 0.177500i | ||||
\(222\) | −25.2797 | + | 14.5907i | −1.69666 | + | 0.979264i | ||||
\(223\) | −22.9047 | −1.53382 | −0.766908 | − | 0.641758i | \(-0.778206\pi\) | ||||
−0.766908 | + | 0.641758i | \(0.778206\pi\) | |||||||
\(224\) | 8.17172 | − | 2.18375i | 0.545996 | − | 0.145908i | ||||
\(225\) | 1.43875 | 0.0959167 | ||||||||
\(226\) | −17.6437 | + | 10.1834i | −1.17364 | + | 0.677392i | ||||
\(227\) | −23.7568 | + | 9.84040i | −1.57680 | + | 0.653130i | −0.987902 | − | 0.155080i | \(-0.950436\pi\) |
−0.588894 | + | 0.808210i | \(0.700436\pi\) | |||||||
\(228\) | −18.6384 | + | 4.98881i | −1.23436 | + | 0.330392i | ||||
\(229\) | 9.97103 | − | 24.0722i | 0.658904 | − | 1.59074i | −0.140595 | − | 0.990067i | \(-0.544901\pi\) |
0.799499 | − | 0.600668i | \(-0.205099\pi\) | |||||||
\(230\) | 4.88532 | − | 6.36492i | 0.322129 | − | 0.419690i | ||||
\(231\) | −8.51885 | − | 8.51885i | −0.560499 | − | 0.560499i | ||||
\(232\) | −17.2294 | + | 7.12857i | −1.13117 | + | 0.468013i | ||||
\(233\) | −15.9597 | + | 15.9597i | −1.04555 | + | 1.04555i | −0.0466402 | + | 0.998912i | \(0.514851\pi\) |
−0.998912 | + | 0.0466402i | \(0.985149\pi\) | |||||||
\(234\) | 1.48578 | + | 11.2973i | 0.0971285 | + | 0.738527i | ||||
\(235\) | 17.8663 | + | 7.40046i | 1.16547 | + | 0.482753i | ||||
\(236\) | 7.31107 | + | 9.53325i | 0.475910 | + | 0.620561i | ||||
\(237\) | −6.91824 | − | 16.7021i | −0.449388 | − | 1.08492i | ||||
\(238\) | −14.0836 | − | 3.77572i | −0.912907 | − | 0.244743i | ||||
\(239\) | 12.3952i | 0.801782i | 0.916126 | + | 0.400891i | \(0.131299\pi\) | ||||
−0.916126 | + | 0.400891i | \(0.868701\pi\) | |||||||
\(240\) | 25.3008 | − | 14.5894i | 1.63316 | − | 0.941743i | ||||
\(241\) | − | 10.1671i | − | 0.654919i | −0.944865 | − | 0.327459i | \(-0.893808\pi\) | ||
0.944865 | − | 0.327459i | \(-0.106192\pi\) | |||||||
\(242\) | −1.87827 | + | 7.00606i | −0.120740 | + | 0.450367i | ||||
\(243\) | 21.0920 | + | 50.9206i | 1.35305 | + | 3.26655i | ||||
\(244\) | 3.30249 | − | 25.0332i | 0.211420 | − | 1.60259i | ||||
\(245\) | −9.66480 | − | 4.00329i | −0.617462 | − | 0.255761i | ||||
\(246\) | −12.5112 | + | 1.64543i | −0.797686 | + | 0.104909i | ||||
\(247\) | −2.05148 | + | 2.05148i | −0.130532 | + | 0.130532i | ||||
\(248\) | 1.69728 | 0.000680433i | 0.107777 | 4.32076e-5i | ||||||
\(249\) | −35.9880 | − | 35.9880i | −2.28065 | − | 2.28065i | ||||
\(250\) | −12.7566 | − | 9.79119i | −0.806798 | − | 0.619249i | ||||
\(251\) | −6.97038 | + | 16.8280i | −0.439966 | + | 1.06217i | 0.535993 | + | 0.844222i | \(0.319937\pi\) |
−0.975960 | + | 0.217951i | \(0.930063\pi\) | |||||||
\(252\) | 12.0532 | − | 20.8638i | 0.759278 | − | 1.31430i | ||||
\(253\) | 5.78415 | − | 2.39587i | 0.363647 | − | 0.150627i | ||||
\(254\) | 0.664968 | + | 1.15211i | 0.0417238 | + | 0.0722901i | ||||
\(255\) | −50.3460 | −3.15279 | ||||||||
\(256\) | −8.01481 | + | 13.8478i | −0.500926 | + | 0.865490i | ||||
\(257\) | 4.76471 | 0.297215 | 0.148607 | − | 0.988896i | \(-0.452521\pi\) | ||||
0.148607 | + | 0.988896i | \(0.452521\pi\) | |||||||
\(258\) | 18.7088 | + | 32.4146i | 1.16476 | + | 2.01804i | ||||
\(259\) | 8.57437 | − | 3.55162i | 0.532785 | − | 0.220687i | ||||
\(260\) | 2.19679 | − | 3.80261i | 0.136239 | − | 0.235828i | ||||
\(261\) | −20.3264 | + | 49.0723i | −1.25817 | + | 3.03750i | ||||
\(262\) | 7.80979 | + | 5.99432i | 0.482490 | + | 0.370330i | ||||
\(263\) | −17.1628 | − | 17.1628i | −1.05830 | − | 1.05830i | −0.998192 | − | 0.0601097i | \(-0.980855\pi\) |
−0.0601097 | − | 0.998192i | \(-0.519145\pi\) | |||||||
\(264\) | 22.7889 | + | 0.00913600i | 1.40256 | + | 0.000562282i | ||||
\(265\) | −18.4434 | + | 18.4434i | −1.13297 | + | 1.13297i | ||||
\(266\) | 6.08261 | − | 0.799964i | 0.372949 | − | 0.0490489i | ||||
\(267\) | −51.4732 | − | 21.3209i | −3.15011 | − | 1.30482i | ||||
\(268\) | −0.840250 | + | 6.36918i | −0.0513265 | + | 0.389060i | ||||
\(269\) | −3.78114 | − | 9.12848i | −0.230540 | − | 0.556574i | 0.765701 | − | 0.643197i | \(-0.222392\pi\) |
−0.996241 | + | 0.0866234i | \(0.972392\pi\) | |||||||
\(270\) | 13.5222 | − | 50.4385i | 0.822933 | − | 3.06959i | ||||
\(271\) | − | 6.42480i | − | 0.390279i | −0.980775 | − | 0.195140i | \(-0.937484\pi\) | ||
0.980775 | − | 0.195140i | \(-0.0625160\pi\) | |||||||
\(272\) | 23.8935 | − | 13.7779i | 1.44875 | − | 0.835407i | ||||
\(273\) | − | 4.97209i | − | 0.300925i | ||||||
\(274\) | 17.1292 | + | 4.59220i | 1.03481 | + | 0.277425i | ||||
\(275\) | −0.165577 | − | 0.399737i | −0.00998464 | − | 0.0241051i | ||||
\(276\) | 10.4572 | + | 13.6356i | 0.629450 | + | 0.820769i | ||||
\(277\) | 10.9274 | + | 4.52627i | 0.656563 | + | 0.271957i | 0.685992 | − | 0.727610i | \(-0.259369\pi\) |
−0.0294284 | + | 0.999567i | \(0.509369\pi\) | |||||||
\(278\) | −2.03174 | − | 15.4485i | −0.121856 | − | 0.926541i | ||||
\(279\) | 3.41882 | − | 3.41882i | 0.204680 | − | 0.204680i | ||||
\(280\) | −8.58099 | + | 3.55033i | −0.512812 | + | 0.212173i | ||||
\(281\) | 12.3901 | + | 12.3901i | 0.739132 | + | 0.739132i | 0.972410 | − | 0.233278i | \(-0.0749453\pi\) |
−0.233278 | + | 0.972410i | \(0.574945\pi\) | |||||||
\(282\) | −25.2169 | + | 32.8541i | −1.50164 | + | 1.95644i | ||||
\(283\) | −7.52972 | + | 18.1784i | −0.447596 | + | 1.08059i | 0.525625 | + | 0.850717i | \(0.323832\pi\) |
−0.973220 | + | 0.229875i | \(0.926168\pi\) | |||||||
\(284\) | 5.87188 | − | 1.57168i | 0.348432 | − | 0.0932622i | ||||
\(285\) | 19.5707 | − | 8.10647i | 1.15927 | − | 0.480186i | ||||
\(286\) | 2.96781 | − | 1.71294i | 0.175490 | − | 0.101288i | ||||
\(287\) | 4.01239 | 0.236844 | ||||||||
\(288\) | 11.7671 | + | 44.0331i | 0.693384 | + | 2.59468i | ||||
\(289\) | −30.5455 | −1.79679 | ||||||||
\(290\) | 17.7299 | − | 10.2332i | 1.04113 | − | 0.600913i | ||||
\(291\) | 12.7738 | − | 5.29107i | 0.748812 | − | 0.310168i | ||||
\(292\) | −0.138384 | − | 0.517010i | −0.00809834 | − | 0.0302557i | ||||
\(293\) | −1.83794 | + | 4.43719i | −0.107374 | + | 0.259223i | −0.968430 | − | 0.249287i | \(-0.919804\pi\) |
0.861056 | + | 0.508511i | \(0.169804\pi\) | |||||||
\(294\) | 13.6411 | − | 17.7725i | 0.795565 | − | 1.03651i | ||||
\(295\) | −9.32670 | − | 9.32670i | −0.543022 | − | 0.543022i | ||||
\(296\) | −6.72473 | + | 16.2165i | −0.390867 | + | 0.942567i | ||||
\(297\) | 28.8119 | − | 28.8119i | 1.67184 | − | 1.67184i | ||||
\(298\) | −0.417849 | − | 3.17716i | −0.0242053 | − | 0.184048i | ||||
\(299\) | 2.38717 | + | 0.988797i | 0.138053 | + | 0.0571836i | ||||
\(300\) | 0.942346 | − | 0.722687i | 0.0544064 | − | 0.0417244i | ||||
\(301\) | −4.55402 | − | 10.9944i | −0.262490 | − | 0.633706i | ||||
\(302\) | −16.2484 | − | 4.35607i | −0.934989 | − | 0.250663i | ||||
\(303\) | − | 42.8547i | − | 2.46194i | ||||||
\(304\) | −7.06954 | + | 9.20301i | −0.405466 | + | 0.527829i | ||||
\(305\) | 27.7218i | 1.58734i | ||||||||
\(306\) | 20.3454 | − | 75.8894i | 1.16307 | − | 4.33831i | ||||
\(307\) | −5.24867 | − | 12.6714i | −0.299557 | − | 0.723195i | −0.999955 | − | 0.00944283i | \(-0.996994\pi\) |
0.700398 | − | 0.713752i | \(-0.253006\pi\) | |||||||
\(308\) | −7.18385 | − | 0.947725i | −0.409338 | − | 0.0540016i | ||||
\(309\) | −5.26916 | − | 2.18256i | −0.299752 | − | 0.124161i | ||||
\(310\) | −1.84751 | + | 0.242979i | −0.104932 | + | 0.0138003i | ||||
\(311\) | −7.60983 | + | 7.60983i | −0.431514 | + | 0.431514i | −0.889143 | − | 0.457629i | \(-0.848699\pi\) |
0.457629 | + | 0.889143i | \(0.348699\pi\) | |||||||
\(312\) | 6.64780 | + | 6.65313i | 0.376358 | + | 0.376660i | ||||
\(313\) | −7.75071 | − | 7.75071i | −0.438096 | − | 0.438096i | 0.453275 | − | 0.891371i | \(-0.350256\pi\) |
−0.891371 | + | 0.453275i | \(0.850256\pi\) | |||||||
\(314\) | 1.57113 | + | 1.20590i | 0.0886640 | + | 0.0680531i | ||||
\(315\) | −10.1234 | + | 24.4401i | −0.570391 | + | 1.37704i | ||||
\(316\) | −9.41515 | − | 5.43920i | −0.529644 | − | 0.305979i | ||||
\(317\) | −19.1889 | + | 7.94830i | −1.07776 | + | 0.446421i | −0.849721 | − | 0.527232i | \(-0.823230\pi\) |
−0.228034 | + | 0.973653i | \(0.573230\pi\) | |||||||
\(318\) | −27.9239 | − | 48.3805i | −1.56589 | − | 2.71304i | ||||
\(319\) | 15.9733 | 0.894334 | ||||||||
\(320\) | 6.73531 | − | 16.2237i | 0.376515 | − | 0.906930i | ||||
\(321\) | 12.8784 | 0.718802 | ||||||||
\(322\) | −2.73130 | − | 4.73221i | −0.152209 | − | 0.263715i | ||||
\(323\) | 18.4821 | − | 7.65554i | 1.02837 | − | 0.425966i | ||||
\(324\) | 54.9783 | + | 31.7613i | 3.05435 | + | 1.76452i | ||||
\(325\) | 0.0683348 | − | 0.164975i | 0.00379053 | − | 0.00915116i | ||||
\(326\) | 4.66903 | + | 3.58367i | 0.258594 | + | 0.198481i | ||||
\(327\) | 0.481390 | + | 0.481390i | 0.0266209 | + | 0.0266209i | ||||
\(328\) | −5.36896 | + | 5.36465i | −0.296451 | + | 0.296213i | ||||
\(329\) | 9.31178 | − | 9.31178i | 0.513375 | − | 0.513375i | ||||
\(330\) | −24.8061 | + | 3.26241i | −1.36553 | + | 0.179590i | ||||
\(331\) | −10.6403 | − | 4.40736i | −0.584844 | − | 0.242250i | 0.0705865 | − | 0.997506i | \(-0.477513\pi\) |
−0.655431 | + | 0.755255i | \(0.727513\pi\) | |||||||
\(332\) | −30.3483 | − | 4.00368i | −1.66558 | − | 0.219731i | ||||
\(333\) | 19.1378 | + | 46.2028i | 1.04875 | + | 2.53190i | ||||
\(334\) | −7.75272 | + | 28.9181i | −0.424210 | + | 1.58233i | ||||
\(335\) | − | 7.05324i | − | 0.385359i | ||||||
\(336\) | −2.58541 | − | 19.7196i | −0.141046 | − | 1.07579i | ||||
\(337\) | − | 30.9560i | − | 1.68628i | −0.537692 | − | 0.843142i | \(-0.680704\pi\) | ||
0.537692 | − | 0.843142i | \(-0.319296\pi\) | |||||||
\(338\) | 1.36598 | + | 0.366208i | 0.0742993 | + | 0.0199191i | ||||
\(339\) | 18.3304 | + | 44.2535i | 0.995570 | + | 2.40352i | ||||
\(340\) | −24.0286 | + | 18.4276i | −1.30313 | + | 0.999376i | ||||
\(341\) | −1.34332 | − | 0.556423i | −0.0727450 | − | 0.0301320i | ||||
\(342\) | 4.31059 | + | 32.7760i | 0.233090 | + | 1.77232i | ||||
\(343\) | −12.4384 | + | 12.4384i | −0.671610 | + | 0.671610i | ||||
\(344\) | 20.7935 | + | 8.62270i | 1.12111 | + | 0.464905i | ||||
\(345\) | −13.3402 | − | 13.3402i | −0.718213 | − | 0.718213i | ||||
\(346\) | −1.24174 | + | 1.61781i | −0.0667561 | + | 0.0869742i | ||||
\(347\) | 13.8421 | − | 33.4178i | 0.743083 | − | 1.79396i | 0.150229 | − | 0.988651i | \(-0.451999\pi\) |
0.592854 | − | 0.805310i | \(-0.298001\pi\) | |||||||
\(348\) | 11.3358 | + | 42.3511i | 0.607664 | + | 2.27026i | ||||
\(349\) | −0.579789 | + | 0.240157i | −0.0310354 | + | 0.0128553i | −0.398147 | − | 0.917322i | \(-0.630347\pi\) |
0.367112 | + | 0.930177i | \(0.380347\pi\) | |||||||
\(350\) | −0.327038 | + | 0.188757i | −0.0174809 | + | 0.0100895i | ||||
\(351\) | 16.8163 | 0.897588 | ||||||||
\(352\) | 10.8798 | − | 8.33682i | 0.579896 | − | 0.444354i | ||||
\(353\) | 13.2078 | 0.702981 | 0.351491 | − | 0.936191i | \(-0.385675\pi\) | ||||
0.351491 | + | 0.936191i | \(0.385675\pi\) | |||||||
\(354\) | 24.4656 | − | 14.1209i | 1.30033 | − | 0.750516i | ||||
\(355\) | −6.16560 | + | 2.55388i | −0.327236 | + | 0.135546i | ||||
\(356\) | −32.3704 | + | 8.66436i | −1.71563 | + | 0.459210i | ||||
\(357\) | −13.1200 | + | 31.6745i | −0.694383 | + | 1.67639i | ||||
\(358\) | −8.76145 | + | 11.4150i | −0.463057 | + | 0.603301i | ||||
\(359\) | −16.0663 | − | 16.0663i | −0.847947 | − | 0.847947i | 0.141930 | − | 0.989877i | \(-0.454669\pi\) |
−0.989877 | + | 0.141930i | \(0.954669\pi\) | |||||||
\(360\) | −19.1309 | − | 46.2385i | −1.00829 | − | 2.43698i | ||||
\(361\) | 7.48323 | − | 7.48323i | 0.393854 | − | 0.393854i | ||||
\(362\) | −0.587088 | − | 4.46398i | −0.0308566 | − | 0.234622i | ||||
\(363\) | 15.7568 | + | 6.52668i | 0.827018 | + | 0.342562i | ||||
\(364\) | −1.81988 | − | 2.37303i | −0.0953876 | − | 0.124380i | ||||
\(365\) | 0.224865 | + | 0.542872i | 0.0117700 | + | 0.0284152i | ||||
\(366\) | −57.3454 | − | 15.3739i | −2.99749 | − | 0.803605i | ||||
\(367\) | − | 2.33921i | − | 0.122106i | −0.998135 | − | 0.0610530i | \(-0.980554\pi\) | ||
0.998135 | − | 0.0610530i | \(-0.0194459\pi\) | |||||||
\(368\) | 9.98180 | + | 2.68034i | 0.520338 | + | 0.139722i | ||||
\(369\) | 21.6207i | 1.12553i | ||||||||
\(370\) | 4.99098 | − | 18.6166i | 0.259469 | − | 0.967833i | ||||
\(371\) | 6.79713 | + | 16.4097i | 0.352889 | + | 0.851950i | ||||
\(372\) | 0.521962 | − | 3.95652i | 0.0270625 | − | 0.205136i | ||||
\(373\) | 0.791362 | + | 0.327793i | 0.0409752 | + | 0.0169725i | 0.403077 | − | 0.915166i | \(-0.367941\pi\) |
−0.362102 | + | 0.932139i | \(0.617941\pi\) | |||||||
\(374\) | −23.4263 | + | 3.08094i | −1.21134 | + | 0.159312i | ||||
\(375\) | −26.7365 | + | 26.7365i | −1.38067 | + | 1.38067i | ||||
\(376\) | −0.00998638 | + | 24.9101i | −0.000515008 | + | 1.28464i | ||||
\(377\) | 4.66147 | + | 4.66147i | 0.240078 | + | 0.240078i | ||||
\(378\) | −28.2088 | − | 21.6514i | −1.45090 | − | 1.11363i | ||||
\(379\) | 7.72848 | − | 18.6582i | 0.396985 | − | 0.958407i | −0.591392 | − | 0.806384i | \(-0.701421\pi\) |
0.988377 | − | 0.152023i | \(-0.0485787\pi\) | |||||||
\(380\) | 6.37339 | − | 11.0322i | 0.326948 | − | 0.565941i | ||||
\(381\) | 2.88971 | − | 1.19696i | 0.148044 | − | 0.0613219i | ||||
\(382\) | 13.9534 | + | 24.1755i | 0.713920 | + | 1.23693i | ||||
\(383\) | −0.174067 | −0.00889441 | −0.00444720 | − | 0.999990i | \(-0.501416\pi\) | ||||
−0.00444720 | + | 0.999990i | \(0.501416\pi\) | |||||||
\(384\) | 29.8251 | + | 22.9300i | 1.52201 | + | 1.17014i | ||||
\(385\) | 7.95540 | 0.405445 | ||||||||
\(386\) | −4.95757 | − | 8.58941i | −0.252333 | − | 0.437189i | ||||
\(387\) | 59.2430 | − | 24.5393i | 3.01149 | − | 1.24740i | ||||
\(388\) | 4.15990 | − | 7.20071i | 0.211187 | − | 0.365560i | ||||
\(389\) | 3.02359 | − | 7.29959i | 0.153302 | − | 0.370104i | −0.828506 | − | 0.559980i | \(-0.810809\pi\) |
0.981808 | + | 0.189876i | \(0.0608087\pi\) | |||||||
\(390\) | −8.19120 | − | 6.28707i | −0.414777 | − | 0.318358i | ||||
\(391\) | −12.5982 | − | 12.5982i | −0.637116 | − | 0.637116i | ||||
\(392\) | 0.00540215 | − | 13.4752i | 0.000272850 | − | 0.680599i | ||||
\(393\) | 16.3685 | − | 16.3685i | 0.825682 | − | 0.825682i | ||||
\(394\) | −11.9638 | + | 1.57343i | −0.602726 | + | 0.0792684i | ||||
\(395\) | 11.0290 | + | 4.56837i | 0.554931 | + | 0.229860i | ||||
\(396\) | 5.10680 | − | 38.7100i | 0.256626 | − | 1.94525i | ||||
\(397\) | 13.0731 | + | 31.5612i | 0.656120 | + | 1.58401i | 0.803748 | + | 0.594970i | \(0.202836\pi\) |
−0.147628 | + | 0.989043i | \(0.547164\pi\) | |||||||
\(398\) | 5.93555 | − | 22.1399i | 0.297522 | − | 1.10977i | ||||
\(399\) | − | 14.4252i | − | 0.722161i | ||||||
\(400\) | 0.185235 | − | 0.689833i | 0.00926177 | − | 0.0344916i | ||||
\(401\) | 27.1280i | 1.35471i | 0.735657 | + | 0.677355i | \(0.236874\pi\) | ||||
−0.735657 | + | 0.677355i | \(0.763126\pi\) | |||||||
\(402\) | 14.5904 | + | 3.91156i | 0.727701 | + | 0.195091i | ||||
\(403\) | −0.229640 | − | 0.554401i | −0.0114392 | − | 0.0276167i | ||||
\(404\) | −15.6856 | − | 20.4533i | −0.780390 | − | 1.01759i | ||||
\(405\) | −64.4022 | − | 26.6763i | −3.20017 | − | 1.32555i | ||||
\(406\) | −1.81772 | − | 13.8212i | −0.0902118 | − | 0.685935i | ||||
\(407\) | 10.6344 | − | 10.6344i | 0.527126 | − | 0.527126i | ||||
\(408\) | −24.7937 | − | 59.9252i | −1.22747 | − | 2.96674i | ||||
\(409\) | −5.21955 | − | 5.21955i | −0.258090 | − | 0.258090i | 0.566187 | − | 0.824277i | \(-0.308418\pi\) |
−0.824277 | + | 0.566187i | \(0.808418\pi\) | |||||||
\(410\) | 5.07355 | − | 6.61015i | 0.250565 | − | 0.326452i | ||||
\(411\) | 15.9571 | − | 38.5240i | 0.787108 | − | 1.90025i | ||||
\(412\) | −3.31367 | + | 0.886945i | −0.163253 | + | 0.0436967i | ||||
\(413\) | −8.29826 | + | 3.43725i | −0.408331 | + | 0.169136i | ||||
\(414\) | 25.4994 | − | 14.7175i | 1.25323 | − | 0.723327i | ||||
\(415\) | 33.6077 | 1.64974 | ||||||||
\(416\) | 5.60796 | + | 0.742115i | 0.274953 | + | 0.0363852i | ||||
\(417\) | −36.6369 | −1.79411 | ||||||||
\(418\) | 8.61029 | − | 4.96962i | 0.421143 | − | 0.243072i | ||||
\(419\) | 4.25103 | − | 1.76084i | 0.207677 | − | 0.0860224i | −0.276420 | − | 0.961037i | \(-0.589148\pi\) |
0.484097 | + | 0.875014i | \(0.339148\pi\) | |||||||
\(420\) | 5.64573 | + | 21.0927i | 0.275483 | + | 1.02922i | ||||
\(421\) | 13.0651 | − | 31.5420i | 0.636755 | − | 1.53726i | −0.194222 | − | 0.980958i | \(-0.562218\pi\) |
0.830977 | − | 0.556306i | \(-0.187782\pi\) | |||||||
\(422\) | 2.61437 | − | 3.40617i | 0.127266 | − | 0.165810i | ||||
\(423\) | 50.1763 | + | 50.1763i | 2.43966 | + | 2.43966i | ||||
\(424\) | −31.0354 | − | 12.8699i | −1.50721 | − | 0.625015i | ||||
\(425\) | −0.870647 | + | 0.870647i | −0.0422326 | + | 0.0422326i | ||||
\(426\) | −1.86366 | − | 14.1705i | −0.0902944 | − | 0.686563i | ||||
\(427\) | 17.4408 | + | 7.22420i | 0.844017 | + | 0.349603i | ||||
\(428\) | 6.14646 | − | 4.71373i | 0.297100 | − | 0.227847i | ||||
\(429\) | −3.08332 | − | 7.44380i | −0.148864 | − | 0.359390i | ||||
\(430\) | −23.8710 | − | 6.39962i | −1.15116 | − | 0.308617i | ||||
\(431\) | 3.06380i | 0.147578i | 0.997274 | + | 0.0737891i | \(0.0235092\pi\) | ||||
−0.997274 | + | 0.0737891i | \(0.976491\pi\) | |||||||
\(432\) | 66.6945 | − | 8.74423i | 3.20884 | − | 0.420707i | ||||
\(433\) | − | 2.48584i | − | 0.119462i | −0.998215 | − | 0.0597309i | \(-0.980976\pi\) | ||
0.998215 | − | 0.0597309i | \(-0.0190242\pi\) | |||||||
\(434\) | −0.328589 | + | 1.22566i | −0.0157728 | + | 0.0588334i | ||||
\(435\) | −18.4199 | − | 44.4696i | −0.883168 | − | 2.13216i | ||||
\(436\) | 0.405951 | + | 0.0535548i | 0.0194415 | + | 0.00256481i | ||||
\(437\) | 6.92571 | + | 2.86872i | 0.331302 | + | 0.137230i | ||||
\(438\) | −1.24769 | + | 0.164092i | −0.0596171 | + | 0.00784063i | ||||
\(439\) | −7.47987 | + | 7.47987i | −0.356995 | + | 0.356995i | −0.862704 | − | 0.505709i | \(-0.831231\pi\) |
0.505709 | + | 0.862704i | \(0.331231\pi\) | |||||||
\(440\) | −10.6451 | + | 10.6366i | −0.507484 | + | 0.507078i | ||||
\(441\) | −27.1430 | − | 27.1430i | −1.29252 | − | 1.29252i | ||||
\(442\) | −7.73556 | − | 5.93735i | −0.367943 | − | 0.282411i | ||||
\(443\) | −0.376758 | + | 0.909574i | −0.0179003 | + | 0.0432152i | −0.932577 | − | 0.360971i | \(-0.882445\pi\) |
0.914677 | + | 0.404186i | \(0.132445\pi\) | |||||||
\(444\) | 35.7426 | + | 20.6487i | 1.69627 | + | 0.979945i | ||||
\(445\) | 33.9897 | − | 14.0790i | 1.61127 | − | 0.667408i | ||||
\(446\) | 16.1924 | + | 28.0546i | 0.766730 | + | 1.32843i | ||||
\(447\) | −7.53477 | −0.356382 | ||||||||
\(448\) | −8.45169 | − | 8.46525i | −0.399305 | − | 0.399945i | ||||
\(449\) | −37.9350 | −1.79026 | −0.895131 | − | 0.445804i | \(-0.852918\pi\) | ||||
−0.895131 | + | 0.445804i | \(0.852918\pi\) | |||||||
\(450\) | −1.01711 | − | 1.76224i | −0.0479472 | − | 0.0830727i | ||||
\(451\) | 6.00701 | − | 2.48818i | 0.282859 | − | 0.117164i | ||||
\(452\) | 24.9461 | + | 14.4116i | 1.17337 | + | 0.677862i | ||||
\(453\) | −15.1366 | + | 36.5430i | −0.711180 | + | 1.71694i | ||||
\(454\) | 28.8476 | + | 22.1417i | 1.35389 | + | 1.03916i | ||||
\(455\) | 2.32161 | + | 2.32161i | 0.108839 | + | 0.108839i | ||||
\(456\) | 19.2868 | + | 19.3022i | 0.903186 | + | 0.903911i | ||||
\(457\) | −1.37762 | + | 1.37762i | −0.0644424 | + | 0.0644424i | −0.738593 | − | 0.674151i | \(-0.764510\pi\) |
0.674151 | + | 0.738593i | \(0.264510\pi\) | |||||||
\(458\) | −36.5335 | + | 4.80476i | −1.70710 | + | 0.224512i | ||||
\(459\) | −107.127 | − | 44.3736i | −5.00028 | − | 2.07118i | ||||
\(460\) | −11.2496 | − | 1.48410i | −0.524517 | − | 0.0691967i | ||||
\(461\) | 14.2980 | + | 34.5185i | 0.665925 | + | 1.60769i | 0.788364 | + | 0.615209i | \(0.210928\pi\) |
−0.122439 | + | 0.992476i | \(0.539072\pi\) | |||||||
\(462\) | −4.41188 | + | 16.4566i | −0.205259 | + | 0.765629i | ||||
\(463\) | − | 7.49178i | − | 0.348172i | −0.984730 | − | 0.174086i | \(-0.944303\pi\) | ||
0.984730 | − | 0.174086i | \(-0.0556971\pi\) | |||||||
\(464\) | 20.9116 | + | 16.0638i | 0.970795 | + | 0.745742i | ||||
\(465\) | 4.38146i | 0.203185i | ||||||||
\(466\) | 30.8306 | + | 8.26545i | 1.42820 | + | 0.382889i | ||||
\(467\) | 6.61649 | + | 15.9736i | 0.306174 | + | 0.739171i | 0.999822 | + | 0.0188561i | \(0.00600245\pi\) |
−0.693648 | + | 0.720314i | \(0.743998\pi\) | |||||||
\(468\) | 12.7870 | − | 9.80638i | 0.591079 | − | 0.453300i | ||||
\(469\) | −4.43744 | − | 1.83805i | −0.204902 | − | 0.0848732i | ||||
\(470\) | −3.56608 | − | 27.1150i | −0.164491 | − | 1.25072i | ||||
\(471\) | 3.29293 | − | 3.29293i | 0.151730 | − | 0.151730i | ||||
\(472\) | 6.50818 | − | 15.6943i | 0.299563 | − | 0.722391i | ||||
\(473\) | −13.6358 | − | 13.6358i | −0.626975 | − | 0.626975i | ||||
\(474\) | −15.5666 | + | 20.2812i | −0.714998 | + | 0.931545i | ||||
\(475\) | 0.198255 | − | 0.478629i | 0.00909655 | − | 0.0219610i | ||||
\(476\) | 5.33168 | + | 19.9194i | 0.244377 | + | 0.913005i | ||||
\(477\) | −88.4234 | + | 36.6262i | −4.04863 | + | 1.67700i | ||||
\(478\) | 15.1822 | − | 8.76273i | 0.694417 | − | 0.400798i | ||||
\(479\) | 16.9849 | 0.776062 | 0.388031 | − | 0.921646i | \(-0.373155\pi\) | ||||
0.388031 | + | 0.921646i | \(0.373155\pi\) | |||||||
\(480\) | −35.7559 | − | 20.6756i | −1.63203 | − | 0.943706i | ||||
\(481\) | 6.20683 | 0.283007 | ||||||||
\(482\) | −12.4530 | + | 7.18754i | −0.567220 | + | 0.327384i | ||||
\(483\) | −11.8692 | + | 4.91639i | −0.540068 | + | 0.223703i | ||||
\(484\) | 9.90913 | − | 2.65231i | 0.450415 | − | 0.120559i | ||||
\(485\) | −3.49389 | + | 8.43500i | −0.158649 | + | 0.383013i | ||||
\(486\) | 47.4587 | − | 61.8322i | 2.15277 | − | 2.80477i | ||||
\(487\) | −9.26893 | − | 9.26893i | −0.420015 | − | 0.420015i | 0.465194 | − | 0.885209i | \(-0.345985\pi\) |
−0.885209 | + | 0.465194i | \(0.845985\pi\) | |||||||
\(488\) | −32.9963 | + | 13.6520i | −1.49367 | + | 0.617998i | ||||
\(489\) | 9.78582 | − | 9.78582i | 0.442530 | − | 0.442530i | ||||
\(490\) | 1.92908 | + | 14.6679i | 0.0871468 | + | 0.662630i | ||||
\(491\) | −6.57871 | − | 2.72499i | −0.296893 | − | 0.122977i | 0.229265 | − | 0.973364i | \(-0.426368\pi\) |
−0.526158 | + | 0.850387i | \(0.676368\pi\) | |||||||
\(492\) | 10.8601 | + | 14.1610i | 0.489611 | + | 0.638427i | ||||
\(493\) | −17.3953 | − | 41.9960i | −0.783446 | − | 1.89141i | ||||
\(494\) | 3.96301 | + | 1.06245i | 0.178304 | + | 0.0478020i | ||||
\(495\) | 42.8675i | 1.92675i | ||||||||
\(496\) | −1.19905 | − | 2.07938i | −0.0538388 | − | 0.0933667i | ||||
\(497\) | 4.54453i | 0.203850i | ||||||||
\(498\) | −18.6381 | + | 69.5211i | −0.835192 | + | 3.11531i | ||||
\(499\) | 4.21154 | + | 10.1675i | 0.188534 | + | 0.455162i | 0.989678 | − | 0.143310i | \(-0.0457747\pi\) |
−0.801144 | + | 0.598472i | \(0.795775\pi\) | |||||||
\(500\) | −2.97445 | + | 22.5466i | −0.133021 | + | 1.00831i | ||||
\(501\) | 65.0375 | + | 26.9394i | 2.90566 | + | 1.20356i | ||||
\(502\) | 25.5392 | − | 3.35883i | 1.13987 | − | 0.149912i | ||||
\(503\) | 12.5177 | − | 12.5177i | 0.558136 | − | 0.558136i | −0.370640 | − | 0.928777i | \(-0.620862\pi\) |
0.928777 | + | 0.370640i | \(0.120862\pi\) | |||||||
\(504\) | −34.0757 | − | 0.0136608i | −1.51785 | − | 0.000608502i | ||||
\(505\) | 20.0101 | + | 20.0101i | 0.890439 | + | 0.890439i | ||||
\(506\) | −7.02363 | − | 5.39091i | −0.312238 | − | 0.239655i | ||||
\(507\) | 1.27251 | − | 3.07212i | 0.0565142 | − | 0.136437i | ||||
\(508\) | 0.941060 | − | 1.62896i | 0.0417528 | − | 0.0722733i | ||||
\(509\) | 7.38534 | − | 3.05911i | 0.327349 | − | 0.135593i | −0.212955 | − | 0.977062i | \(-0.568309\pi\) |
0.540305 | + | 0.841469i | \(0.318309\pi\) | |||||||
\(510\) | 35.5918 | + | 61.6658i | 1.57603 | + | 2.73061i | ||||
\(511\) | 0.400139 | 0.0177011 | ||||||||
\(512\) | 22.6274 | + | 0.0272137i | 0.999999 | + | 0.00120269i | ||||
\(513\) | 48.7879 | 2.15404 | ||||||||
\(514\) | −3.36838 | − | 5.83601i | −0.148573 | − | 0.257415i | ||||
\(515\) | 3.47942 | − | 1.44122i | 0.153322 | − | 0.0635079i | ||||
\(516\) | 26.4766 | − | 45.8305i | 1.16557 | − | 2.01757i | ||||
\(517\) | 8.16634 | − | 19.7153i | 0.359155 | − | 0.867077i | ||||
\(518\) | −10.4118 | − | 7.99143i | −0.457466 | − | 0.351123i | ||||
\(519\) | 3.39077 | + | 3.39077i | 0.148838 | + | 0.148838i | ||||
\(520\) | −6.21059 | − | 0.00248980i | −0.272352 | − | 0.000109185i | ||||
\(521\) | −13.4672 | + | 13.4672i | −0.590007 | + | 0.590007i | −0.937633 | − | 0.347626i | \(-0.886988\pi\) |
0.347626 | + | 0.937633i | \(0.386988\pi\) | |||||||
\(522\) | 74.4753 | − | 9.79474i | 3.25970 | − | 0.428704i | ||||
\(523\) | 30.8988 | + | 12.7987i | 1.35111 | + | 0.559649i | 0.936601 | − | 0.350396i | \(-0.113953\pi\) |
0.414510 | + | 0.910045i | \(0.363953\pi\) | |||||||
\(524\) | 1.82100 | − | 13.8034i | 0.0795508 | − | 0.603003i | ||||
\(525\) | 0.339767 | + | 0.820270i | 0.0148286 | + | 0.0357995i | ||||
\(526\) | −8.88853 | + | 33.1547i | −0.387558 | + | 1.44561i | ||||
\(527\) | 4.13774i | 0.180243i | ||||||||
\(528\) | −16.0993 | − | 27.9192i | −0.700632 | − | 1.21503i | ||||
\(529\) | 16.3237i | 0.709727i | ||||||||
\(530\) | 35.6287 | + | 9.55179i | 1.54761 | + | 0.414903i | ||||
\(531\) | −18.5216 | − | 44.7150i | −0.803768 | − | 1.94047i | ||||
\(532\) | −5.27988 | − | 6.88469i | −0.228912 | − | 0.298489i | ||||
\(533\) | 2.47914 | + | 1.02689i | 0.107384 | + | 0.0444797i | ||||
\(534\) | 10.2740 | + | 78.1191i | 0.444597 | + | 3.38054i | ||||
\(535\) | −6.01329 | + | 6.01329i | −0.259977 | + | 0.259977i | ||||
\(536\) | 8.39523 | − | 3.47348i | 0.362619 | − | 0.150031i | ||||
\(537\) | 23.9246 | + | 23.9246i | 1.03242 | + | 1.03242i | ||||
\(538\) | −8.50788 | + | 11.0846i | −0.366801 | + | 0.477892i | ||||
\(539\) | −4.41760 | + | 10.6650i | −0.190279 | + | 0.459375i | ||||
\(540\) | −71.3384 | + | 19.0946i | −3.06992 | + | 0.821703i | ||||
\(541\) | 6.73799 | − | 2.79097i | 0.289689 | − | 0.119993i | −0.233107 | − | 0.972451i | \(-0.574889\pi\) |
0.522795 | + | 0.852458i | \(0.324889\pi\) | |||||||
\(542\) | −7.86935 | + | 4.54197i | −0.338018 | + | 0.195094i | ||||
\(543\) | −10.5865 | −0.454311 | ||||||||
\(544\) | −33.7670 | − | 19.5255i | −1.44775 | − | 0.837148i | ||||
\(545\) | −0.449550 | −0.0192566 | ||||||||
\(546\) | −6.09001 | + | 3.51499i | −0.260628 | + | 0.150427i | ||||
\(547\) | 5.92902 | − | 2.45588i | 0.253506 | − | 0.105006i | −0.252311 | − | 0.967646i | \(-0.581191\pi\) |
0.505818 | + | 0.862640i | \(0.331191\pi\) | |||||||
\(548\) | −6.48465 | − | 24.2269i | −0.277010 | − | 1.03492i | ||||
\(549\) | −38.9274 | + | 93.9791i | −1.66138 | + | 4.01093i | ||||
\(550\) | −0.372561 | + | 0.485396i | −0.0158860 | + | 0.0206974i | ||||
\(551\) | 13.5240 | + | 13.5240i | 0.576141 | + | 0.576141i | ||||
\(552\) | 9.30882 | − | 22.4480i | 0.396210 | − | 0.955451i | ||||
\(553\) | 5.74825 | − | 5.74825i | 0.244441 | − | 0.244441i | ||||
\(554\) | −2.18109 | − | 16.5841i | −0.0926654 | − | 0.704591i | ||||
\(555\) | −41.8693 | − | 17.3428i | −1.77725 | − | 0.736162i | ||||
\(556\) | −17.4856 | + | 13.4098i | −0.741557 | + | 0.568702i | ||||
\(557\) | −5.76747 | − | 13.9239i | −0.244376 | − | 0.589975i | 0.753332 | − | 0.657640i | \(-0.228445\pi\) |
−0.997708 | + | 0.0676649i | \(0.978445\pi\) | |||||||
\(558\) | −6.60442 | − | 1.77059i | −0.279587 | − | 0.0749553i | ||||
\(559\) | − | 7.95864i | − | 0.336614i | ||||||
\(560\) | 10.4149 | + | 8.00045i | 0.440108 | + | 0.338081i | ||||
\(561\) | 55.5564i | 2.34559i | ||||||||
\(562\) | 6.41679 | − | 23.9350i | 0.270676 | − | 1.00964i | ||||
\(563\) | −0.808658 | − | 1.95227i | −0.0340809 | − | 0.0822785i | 0.905923 | − | 0.423443i | \(-0.139179\pi\) |
−0.940004 | + | 0.341165i | \(0.889179\pi\) | |||||||
\(564\) | 58.0679 | + | 7.66058i | 2.44510 | + | 0.322569i | ||||
\(565\) | −29.2222 | − | 12.1042i | −1.22939 | − | 0.509229i | ||||
\(566\) | 27.5887 | − | 3.62837i | 1.15964 | − | 0.152512i | ||||
\(567\) | −33.5660 | + | 33.5660i | −1.40964 | + | 1.40964i | ||||
\(568\) | −6.07614 | − | 6.08101i | −0.254949 | − | 0.255154i | ||||
\(569\) | 12.1946 | + | 12.1946i | 0.511225 | + | 0.511225i | 0.914902 | − | 0.403677i | \(-0.132268\pi\) |
−0.403677 | + | 0.914902i | \(0.632268\pi\) | |||||||
\(570\) | −23.7645 | − | 18.2402i | −0.995386 | − | 0.763998i | ||||
\(571\) | 3.38345 | − | 8.16836i | 0.141593 | − | 0.341835i | −0.837136 | − | 0.546995i | \(-0.815772\pi\) |
0.978728 | + | 0.205160i | \(0.0657715\pi\) | |||||||
\(572\) | −4.19615 | − | 2.42414i | −0.175450 | − | 0.101358i | ||||
\(573\) | 60.6365 | − | 25.1165i | 2.53313 | − | 1.04926i | ||||
\(574\) | −2.83653 | − | 4.91453i | −0.118394 | − | 0.205128i | ||||
\(575\) | −0.461392 | −0.0192414 | ||||||||
\(576\) | 45.6148 | − | 45.5417i | 1.90062 | − | 1.89757i | ||||
\(577\) | −16.6499 | −0.693144 | −0.346572 | − | 0.938023i | \(-0.612654\pi\) | ||||
−0.346572 | + | 0.938023i | \(0.612654\pi\) | |||||||
\(578\) | 21.5939 | + | 37.4133i | 0.898189 | + | 1.55619i | ||||
\(579\) | −21.5438 | + | 8.92372i | −0.895328 | + | 0.370857i | ||||
\(580\) | −25.0680 | − | 14.4820i | −1.04089 | − | 0.601330i | ||||
\(581\) | 8.75805 | − | 21.1438i | 0.363345 | − | 0.877193i | ||||
\(582\) | −15.5110 | − | 11.9053i | −0.642953 | − | 0.493492i | ||||
\(583\) | 20.3522 | + | 20.3522i | 0.842901 | + | 0.842901i | ||||
\(584\) | −0.535425 | + | 0.534996i | −0.0221560 | + | 0.0221383i | ||||
\(585\) | −12.5100 | + | 12.5100i | −0.517223 | + | 0.517223i | ||||
\(586\) | 6.73417 | − | 0.885654i | 0.278186 | − | 0.0365860i | ||||
\(587\) | 20.1309 | + | 8.33850i | 0.830892 | + | 0.344167i | 0.757256 | − | 0.653118i | \(-0.226540\pi\) |
0.0736362 | + | 0.997285i | \(0.476540\pi\) | |||||||
\(588\) | −31.4120 | − | 4.14400i | −1.29541 | − | 0.170896i | ||||
\(589\) | −0.666238 | − | 1.60844i | −0.0274519 | − | 0.0662747i | ||||
\(590\) | −4.83026 | + | 18.0172i | −0.198859 | + | 0.741755i | ||||
\(591\) | 28.3726i | 1.16709i | ||||||||
\(592\) | 24.6166 | − | 3.22746i | 1.01174 | − | 0.132648i | ||||
\(593\) | − | 33.8758i | − | 1.39111i | −0.718472 | − | 0.695556i | \(-0.755158\pi\) | ||
0.718472 | − | 0.695556i | \(-0.244842\pi\) | |||||||
\(594\) | −55.6584 | − | 14.9216i | −2.28369 | − | 0.612241i | ||||
\(595\) | −8.66362 | − | 20.9158i | −0.355174 | − | 0.857465i | ||||
\(596\) | −3.59611 | + | 2.75787i | −0.147303 | + | 0.112967i | ||||
\(597\) | −49.7933 | − | 20.6250i | −2.03790 | − | 0.844127i | ||||
\(598\) | −0.476474 | − | 3.62292i | −0.0194845 | − | 0.148152i | ||||
\(599\) | 23.9653 | − | 23.9653i | 0.979195 | − | 0.979195i | −0.0205931 | − | 0.999788i | \(-0.506555\pi\) |
0.999788 | + | 0.0205931i | \(0.00655546\pi\) | |||||||
\(600\) | −1.55136 | − | 0.643323i | −0.0633340 | − | 0.0262636i | ||||
\(601\) | 10.5169 | + | 10.5169i | 0.428994 | + | 0.428994i | 0.888285 | − | 0.459292i | \(-0.151897\pi\) |
−0.459292 | + | 0.888285i | \(0.651897\pi\) | |||||||
\(602\) | −10.2469 | + | 13.3504i | −0.417633 | + | 0.544120i | ||||
\(603\) | 9.90428 | − | 23.9111i | 0.403334 | − | 0.973734i | ||||
\(604\) | 6.15119 | + | 22.9811i | 0.250289 | + | 0.935089i | ||||
\(605\) | −10.4048 | + | 4.30981i | −0.423016 | + | 0.175219i | ||||
\(606\) | −52.4902 | + | 30.2959i | −2.13227 | + | 1.23069i | ||||
\(607\) | −22.4386 | −0.910754 | −0.455377 | − | 0.890299i | \(-0.650496\pi\) | ||||
−0.455377 | + | 0.890299i | \(0.650496\pi\) | |||||||
\(608\) | 16.2700 | + | 2.15304i | 0.659835 | + | 0.0873174i | ||||
\(609\) | −32.7776 | −1.32822 | ||||||||
\(610\) | 33.9547 | − | 19.5977i | 1.37479 | − | 0.793488i | ||||
\(611\) | 8.13666 | − | 3.37032i | 0.329174 | − | 0.136348i | ||||
\(612\) | −107.335 | + | 28.7297i | −4.33877 | + | 1.16133i | ||||
\(613\) | −3.12528 | + | 7.54510i | −0.126229 | + | 0.304744i | −0.974342 | − | 0.225071i | \(-0.927739\pi\) |
0.848113 | + | 0.529815i | \(0.177739\pi\) | |||||||
\(614\) | −11.8099 | + | 15.3867i | −0.476610 | + | 0.620958i | ||||
\(615\) | −13.8542 | − | 13.8542i | −0.558655 | − | 0.558655i | ||||
\(616\) | 3.91776 | + | 9.46905i | 0.157851 | + | 0.381519i | ||||
\(617\) | 17.9078 | − | 17.9078i | 0.720942 | − | 0.720942i | −0.247855 | − | 0.968797i | \(-0.579726\pi\) |
0.968797 | + | 0.247855i | \(0.0797256\pi\) | |||||||
\(618\) | 1.05171 | + | 7.99682i | 0.0423062 | + | 0.321679i | ||||
\(619\) | −12.9299 | − | 5.35573i | −0.519695 | − | 0.215265i | 0.107388 | − | 0.994217i | \(-0.465751\pi\) |
−0.627083 | + | 0.778952i | \(0.715751\pi\) | |||||||
\(620\) | 1.60370 | + | 2.09114i | 0.0644060 | + | 0.0839820i | ||||
\(621\) | −16.6279 | − | 40.1433i | −0.667255 | − | 1.61090i | ||||
\(622\) | 14.7005 | + | 3.94110i | 0.589438 | + | 0.158024i | ||||
\(623\) | − | 25.0531i | − | 1.00373i | ||||||
\(624\) | 3.44940 | − | 12.8459i | 0.138087 | − | 0.514247i | ||||
\(625\) | − | 24.0753i | − | 0.963011i | ||||||
\(626\) | −4.01406 | + | 14.9727i | −0.160434 | + | 0.598429i | ||||
\(627\) | −8.94541 | − | 21.5961i | −0.357245 | − | 0.862467i | ||||
\(628\) | 0.366339 | − | 2.77689i | 0.0146185 | − | 0.110810i | ||||
\(629\) | −39.5403 | − | 16.3781i | −1.57657 | − | 0.653039i | ||||
\(630\) | 37.0919 | − | 4.87820i | 1.47778 | − | 0.194352i | ||||
\(631\) | −17.8488 | + | 17.8488i | −0.710551 | + | 0.710551i | −0.966650 | − | 0.256099i | \(-0.917563\pi\) |
0.256099 | + | 0.966650i | \(0.417563\pi\) | |||||||
\(632\) | −0.00616469 | + | 15.3773i | −0.000245218 | + | 0.611674i | ||||
\(633\) | −7.13899 | − | 7.13899i | −0.283750 | − | 0.283750i | ||||
\(634\) | 23.3008 | + | 17.8843i | 0.925394 | + | 0.710277i | ||||
\(635\) | −0.790395 | + | 1.90818i | −0.0313659 | + | 0.0757239i | ||||
\(636\) | −39.5177 | + | 68.4045i | −1.56698 | + | 2.71241i | ||||
\(637\) | −4.40154 | + | 1.82318i | −0.174395 | + | 0.0722370i | ||||
\(638\) | −11.2922 | − | 19.5647i | −0.447063 | − | 0.774576i | ||||
\(639\) | −24.4881 | −0.968734 | ||||||||
\(640\) | −24.6329 | + | 3.21954i | −0.973699 | + | 0.127263i | ||||
\(641\) | 1.73963 | 0.0687112 | 0.0343556 | − | 0.999410i | \(-0.489062\pi\) | ||||
0.0343556 | + | 0.999410i | \(0.489062\pi\) | |||||||
\(642\) | −9.10429 | − | 15.7740i | −0.359318 | − | 0.622548i | ||||
\(643\) | −35.8108 | + | 14.8333i | −1.41224 | + | 0.584969i | −0.952898 | − | 0.303291i | \(-0.901915\pi\) |
−0.459341 | + | 0.888260i | \(0.651915\pi\) | |||||||
\(644\) | −3.86532 | + | 6.69080i | −0.152315 | + | 0.263654i | ||||
\(645\) | −22.2376 | + | 53.6864i | −0.875606 | + | 2.11390i | ||||
\(646\) | −22.4426 | − | 17.2256i | −0.882993 | − | 0.677732i | ||||
\(647\) | −10.5161 | − | 10.5161i | −0.413429 | − | 0.413429i | 0.469502 | − | 0.882931i | \(-0.344433\pi\) |
−0.882931 | + | 0.469502i | \(0.844433\pi\) | |||||||
\(648\) | 0.0359977 | − | 89.7930i | 0.00141412 | − | 3.52740i | ||||
\(649\) | −10.2919 | + | 10.2919i | −0.403994 | + | 0.403994i | ||||
\(650\) | −0.250376 | + | 0.0329287i | −0.00982057 | + | 0.00129157i | ||||
\(651\) | 2.75653 | + | 1.14179i | 0.108037 | + | 0.0447504i | ||||
\(652\) | 1.08868 | − | 8.25227i | 0.0426358 | − | 0.323184i | ||||
\(653\) | 17.9960 | + | 43.4462i | 0.704238 | + | 1.70018i | 0.713919 | + | 0.700228i | \(0.246919\pi\) |
−0.00968055 | + | 0.999953i | \(0.503081\pi\) | |||||||
\(654\) | 0.249310 | − | 0.929941i | 0.00974880 | − | 0.0363636i | ||||
\(655\) | 15.2859i | 0.597268i | ||||||||
\(656\) | 10.3664 | + | 2.78360i | 0.404739 | + | 0.108682i | ||||
\(657\) | 2.15614i | 0.0841191i | ||||||||
\(658\) | −17.9883 | − | 4.82254i | −0.701258 | − | 0.188002i | ||||
\(659\) | 15.4907 | + | 37.3978i | 0.603430 | + | 1.45681i | 0.870028 | + | 0.493002i | \(0.164100\pi\) |
−0.266598 | + | 0.963808i | \(0.585900\pi\) | |||||||
\(660\) | 21.5324 | + | 28.0771i | 0.838149 | + | 1.09290i | ||||
\(661\) | −2.78800 | − | 1.15483i | −0.108441 | − | 0.0449176i | 0.327803 | − | 0.944746i | \(-0.393692\pi\) |
−0.436244 | + | 0.899828i | \(0.643692\pi\) | |||||||
\(662\) | 2.12378 | + | 16.1484i | 0.0825432 | + | 0.627626i | ||||
\(663\) | −16.2129 | + | 16.2129i | −0.629659 | + | 0.629659i | ||||
\(664\) | 16.5507 | + | 40.0022i | 0.642290 | + | 1.55238i | ||||
\(665\) | 6.73553 | + | 6.73553i | 0.261193 | + | 0.261193i | ||||
\(666\) | 43.0616 | − | 56.1035i | 1.66860 | − | 2.17397i | ||||
\(667\) | 6.51846 | − | 15.7370i | 0.252396 | − | 0.609338i | ||||
\(668\) | 40.9007 | − | 10.9476i | 1.58250 | − | 0.423576i | ||||
\(669\) | 70.3660 | − | 29.1466i | 2.72051 | − | 1.12687i | ||||
\(670\) | −8.63908 | + | 4.98624i | −0.333757 | + | 0.192635i | ||||
\(671\) | 30.5907 | 1.18094 | ||||||||
\(672\) | −22.3256 | + | 17.1074i | −0.861229 | + | 0.659930i | ||||
\(673\) | −30.3119 | −1.16844 | −0.584218 | − | 0.811597i | \(-0.698599\pi\) | ||||
−0.584218 | + | 0.811597i | \(0.698599\pi\) | |||||||
\(674\) | −37.9162 | + | 21.8842i | −1.46048 | + | 0.842946i | ||||
\(675\) | −2.77427 | + | 1.14914i | −0.106782 | + | 0.0442304i | ||||
\(676\) | −0.517122 | − | 1.93199i | −0.0198893 | − | 0.0743073i | ||||
\(677\) | 4.83251 | − | 11.6667i | 0.185728 | − | 0.448388i | −0.803401 | − | 0.595439i | \(-0.796978\pi\) |
0.989129 | + | 0.147051i | \(0.0469782\pi\) | |||||||
\(678\) | 41.2448 | − | 53.7365i | 1.58400 | − | 2.06374i | ||||
\(679\) | 4.39626 | + | 4.39626i | 0.168713 | + | 0.168713i | ||||
\(680\) | 39.5577 | + | 16.4039i | 1.51697 | + | 0.629061i | ||||
\(681\) | 60.4617 | − | 60.4617i | 2.31690 | − | 2.31690i | ||||
\(682\) | 0.268125 | + | 2.03871i | 0.0102670 | + | 0.0780664i | ||||
\(683\) | −3.35397 | − | 1.38926i | −0.128336 | − | 0.0531586i | 0.317591 | − | 0.948228i | \(-0.397126\pi\) |
−0.445927 | + | 0.895069i | \(0.647126\pi\) | |||||||
\(684\) | 37.0980 | − | 28.4505i | 1.41848 | − | 1.08783i | ||||
\(685\) | 10.5371 | + | 25.4388i | 0.402602 | + | 0.971967i | ||||
\(686\) | 24.0283 | + | 6.44179i | 0.917403 | + | 0.245949i | ||||
\(687\) | 86.6408i | 3.30555i | ||||||||
\(688\) | −4.13837 | − | 31.5644i | −0.157774 | − | 1.20338i | ||||
\(689\) | 11.8787i | 0.452542i | ||||||||
\(690\) | −6.90885 | + | 25.7704i | −0.263015 | + | 0.981062i | ||||
\(691\) | 5.86712 | + | 14.1645i | 0.223196 | + | 0.538842i | 0.995321 | − | 0.0966286i | \(-0.0308059\pi\) |
−0.772125 | + | 0.635471i | \(0.780806\pi\) | |||||||
\(692\) | 2.85940 | + | 0.377224i | 0.108698 | + | 0.0143399i | ||||
\(693\) | 26.9695 | + | 11.1711i | 1.02449 | + | 0.424356i | ||||
\(694\) | −50.7170 | + | 6.67013i | −1.92519 | + | 0.253195i | ||||
\(695\) | 17.1068 | − | 17.1068i | 0.648898 | − | 0.648898i | ||||
\(696\) | 43.8596 | − | 43.8244i | 1.66249 | − | 1.66116i | ||||
\(697\) | −13.0836 | − | 13.0836i | −0.495575 | − | 0.495575i | ||||
\(698\) | 0.704031 | + | 0.540372i | 0.0266480 | + | 0.0204534i | ||||
\(699\) | 28.7211 | − | 69.3388i | 1.08633 | − | 2.62263i | ||||
\(700\) | 0.462395 | + | 0.267128i | 0.0174769 | + | 0.0100965i | ||||
\(701\) | −31.5208 | + | 13.0563i | −1.19052 | + | 0.493131i | −0.887925 | − | 0.459988i | \(-0.847854\pi\) |
−0.302598 | + | 0.953118i | \(0.597854\pi\) | |||||||
\(702\) | −11.8882 | − | 20.5973i | −0.448690 | − | 0.777394i | ||||
\(703\) | 18.0074 | 0.679163 | ||||||||
\(704\) | −17.9027 | − | 7.43235i | −0.674732 | − | 0.280117i | ||||
\(705\) | −64.3045 | −2.42185 | ||||||||
\(706\) | −9.33718 | − | 16.1775i | −0.351409 | − | 0.608847i | ||||
\(707\) | 17.8036 | − | 7.37451i | 0.669575 | − | 0.277347i | ||||
\(708\) | −34.5916 | − | 19.9838i | −1.30003 | − | 0.751038i | ||||
\(709\) | 10.5222 | − | 25.4028i | 0.395169 | − | 0.954023i | −0.593625 | − | 0.804742i | \(-0.702304\pi\) |
0.988795 | − | 0.149282i | \(-0.0476961\pi\) | |||||||
\(710\) | 7.48682 | + | 5.74643i | 0.280975 | + | 0.215660i | ||||
\(711\) | 30.9743 | + | 30.9743i | 1.16163 | + | 1.16163i | ||||
\(712\) | 33.4965 | + | 33.5234i | 1.25533 | + | 1.25634i | ||||
\(713\) | −1.09638 | + | 1.09638i | −0.0410597 | + | 0.0410597i | ||||
\(714\) | 48.0712 | − | 6.32216i | 1.79902 | − | 0.236601i | ||||
\(715\) | 4.91542 | + | 2.03603i | 0.183826 | + | 0.0761433i | ||||
\(716\) | 20.1754 | + | 2.66162i | 0.753989 | + | 0.0994695i | ||||
\(717\) | −15.7731 | − | 38.0796i | −0.589057 | − | 1.42211i | ||||
\(718\) | −8.32068 | + | 31.0366i | −0.310525 | + | 1.15828i | ||||
\(719\) | − | 14.6114i | − | 0.544915i | −0.962168 | − | 0.272457i | \(-0.912164\pi\) | ||
0.962168 | − | 0.272457i | \(-0.0878364\pi\) | |||||||
\(720\) | −43.1103 | + | 56.1202i | −1.60662 | + | 2.09148i | ||||
\(721\) | − | 2.56461i | − | 0.0955110i | ||||||
\(722\) | −14.4560 | − | 3.87554i | −0.537995 | − | 0.144233i | ||||
\(723\) | 12.9377 | + | 31.2344i | 0.481159 | + | 1.16162i | ||||
\(724\) | −5.05262 | + | 3.87487i | −0.187779 | + | 0.144008i | ||||
\(725\) | −1.08757 | − | 0.450485i | −0.0403912 | − | 0.0167306i | ||||
\(726\) | −3.14503 | − | 23.9136i | −0.116723 | − | 0.887515i | ||||
\(727\) | −2.11505 | + | 2.11505i | −0.0784430 | + | 0.0784430i | −0.745240 | − | 0.666797i | \(-0.767665\pi\) |
0.666797 | + | 0.745240i | \(0.267665\pi\) | |||||||
\(728\) | −1.62002 | + | 3.90666i | −0.0600421 | + | 0.144790i | ||||
\(729\) | −62.2493 | − | 62.2493i | −2.30553 | − | 2.30553i | ||||
\(730\) | 0.505965 | − | 0.659204i | 0.0187266 | − | 0.0243982i | ||||
\(731\) | −21.0007 | + | 50.7001i | −0.776738 | + | 1.87521i | ||||
\(732\) | 21.7094 | + | 81.1073i | 0.802403 | + | 2.99781i | ||||
\(733\) | 12.5481 | − | 5.19758i | 0.463473 | − | 0.191977i | −0.138713 | − | 0.990333i | \(-0.544297\pi\) |
0.602186 | + | 0.798356i | \(0.294297\pi\) | |||||||
\(734\) | −2.86516 | + | 1.65369i | −0.105755 | + | 0.0610388i | ||||
\(735\) | 34.7856 | 1.28309 | ||||||||
\(736\) | −3.77359 | − | 14.1210i | −0.139096 | − | 0.520505i | ||||
\(737\) | −7.78318 | −0.286697 | ||||||||
\(738\) | 26.4818 | − | 15.2846i | 0.974810 | − | 0.562633i | ||||
\(739\) | 15.9988 | − | 6.62693i | 0.588526 | − | 0.243776i | −0.0684902 | − | 0.997652i | \(-0.521818\pi\) |
0.657016 | + | 0.753876i | \(0.271818\pi\) | |||||||
\(740\) | −26.3307 | + | 7.04775i | −0.967936 | + | 0.259081i | ||||
\(741\) | 3.69185 | − | 8.91290i | 0.135623 | − | 0.327424i | ||||
\(742\) | 15.2941 | − | 19.9261i | 0.561463 | − | 0.731511i | ||||
\(743\) | 7.33572 | + | 7.33572i | 0.269121 | + | 0.269121i | 0.828746 | − | 0.559625i | \(-0.189055\pi\) |
−0.559625 | + | 0.828746i | \(0.689055\pi\) | |||||||
\(744\) | −5.21510 | + | 2.15772i | −0.191195 | + | 0.0791058i | ||||
\(745\) | 3.51820 | − | 3.51820i | 0.128897 | − | 0.128897i | ||||
\(746\) | −0.157954 | − | 1.20102i | −0.00578312 | − | 0.0439726i | ||||
\(747\) | 113.933 | + | 47.1926i | 4.16859 | + | 1.72669i | ||||
\(748\) | 20.3347 | + | 26.5153i | 0.743510 | + | 0.969497i | ||||
\(749\) | 2.21613 | + | 5.35022i | 0.0809757 | + | 0.195493i | ||||
\(750\) | 51.6491 | + | 13.8467i | 1.88596 | + | 0.505612i | ||||
\(751\) | 8.72743i | 0.318468i | 0.987241 | + | 0.159234i | \(0.0509025\pi\) | ||||
−0.987241 | + | 0.159234i | \(0.949097\pi\) | |||||||
\(752\) | 30.5180 | − | 17.5978i | 1.11288 | − | 0.641726i | ||||
\(753\) | − | 60.5674i | − | 2.20720i | ||||||
\(754\) | 2.41416 | − | 9.00495i | 0.0879185 | − | 0.327941i | ||||
\(755\) | −9.99527 | − | 24.1307i | −0.363765 | − | 0.878206i | ||||
\(756\) | −6.57743 | + | 49.8575i | −0.239219 | + | 1.81330i | ||||
\(757\) | −20.8782 | − | 8.64802i | −0.758830 | − | 0.314318i | −0.0304912 | − | 0.999535i | \(-0.509707\pi\) |
−0.728339 | + | 0.685218i | \(0.759707\pi\) | |||||||
\(758\) | −28.3169 | + | 3.72414i | −1.02852 | + | 0.135267i | ||||
\(759\) | −14.7208 | + | 14.7208i | −0.534332 | + | 0.534332i | ||||
\(760\) | −18.0183 | − | 0.00722349i | −0.653594 | − | 0.000262023i | ||||
\(761\) | 11.8333 | + | 11.8333i | 0.428956 | + | 0.428956i | 0.888273 | − | 0.459317i | \(-0.151906\pi\) |
−0.459317 | + | 0.888273i | \(0.651906\pi\) | |||||||
\(762\) | −3.50894 | − | 2.69325i | −0.127115 | − | 0.0975661i | ||||
\(763\) | −0.117151 | + | 0.282828i | −0.00424116 | + | 0.0102391i | ||||
\(764\) | 19.7468 | − | 34.1814i | 0.714416 | − | 1.23664i | ||||
\(765\) | 112.704 | − | 46.6837i | 4.07484 | − | 1.68785i | ||||
\(766\) | 0.123055 | + | 0.213204i | 0.00444617 | + | 0.00770338i | ||||
\(767\) | −6.00696 | −0.216899 | ||||||||
\(768\) | 7.00087 | − | 52.7411i | 0.252622 | − | 1.90313i | ||||
\(769\) | 19.7272 | 0.711380 | 0.355690 | − | 0.934604i | \(-0.384246\pi\) | ||||
0.355690 | + | 0.934604i | \(0.384246\pi\) | |||||||
\(770\) |