Newspace parameters
Level: | \( N \) | \(=\) | \( 125 = 5^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 125.e (of order \(10\), degree \(4\), not minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(0.998130025266\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\Q(\zeta_{20})\) |
Defining polynomial: |
\( x^{8} - x^{6} + x^{4} - x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 25) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 99.2 | ||
Root | \(-0.587785 - 0.809017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 125.99 |
Dual form | 125.2.e.a.24.2 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/125\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.53884 | − | 0.500000i | 1.08813 | − | 0.353553i | 0.290604 | − | 0.956844i | \(-0.406144\pi\) |
0.797522 | + | 0.603290i | \(0.206144\pi\) | |||||||
\(3\) | 0.587785 | + | 0.809017i | 0.339358 | + | 0.467086i | 0.944254 | − | 0.329218i | \(-0.106785\pi\) |
−0.604896 | + | 0.796305i | \(0.706785\pi\) | |||||||
\(4\) | 0.500000 | − | 0.363271i | 0.250000 | − | 0.181636i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 1.30902 | + | 0.951057i | 0.534404 | + | 0.388267i | ||||
\(7\) | 0.618034i | 0.233595i | 0.993156 | + | 0.116797i | \(0.0372628\pi\) | ||||
−0.993156 | + | 0.116797i | \(0.962737\pi\) | |||||||
\(8\) | −1.31433 | + | 1.80902i | −0.464685 | + | 0.639584i | ||||
\(9\) | 0.618034 | − | 1.90211i | 0.206011 | − | 0.634038i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.61803 | − | 4.97980i | −0.487856 | − | 1.50147i | −0.827802 | − | 0.561020i | \(-0.810409\pi\) |
0.339946 | − | 0.940445i | \(-0.389591\pi\) | |||||||
\(12\) | 0.587785 | + | 0.190983i | 0.169679 | + | 0.0551320i | ||||
\(13\) | −1.76336 | − | 0.572949i | −0.489067 | − | 0.158907i | 0.0540944 | − | 0.998536i | \(-0.482773\pi\) |
−0.543161 | + | 0.839628i | \(0.682773\pi\) | |||||||
\(14\) | 0.309017 | + | 0.951057i | 0.0825883 | + | 0.254181i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.50000 | + | 4.61653i | −0.375000 | + | 1.15413i | ||||
\(17\) | −3.07768 | + | 4.23607i | −0.746448 | + | 1.02740i | 0.251774 | + | 0.967786i | \(0.418986\pi\) |
−0.998222 | + | 0.0596113i | \(0.981014\pi\) | |||||||
\(18\) | − | 3.23607i | − | 0.762749i | ||||||
\(19\) | 0.690983 | + | 0.502029i | 0.158522 | + | 0.115173i | 0.664219 | − | 0.747538i | \(-0.268764\pi\) |
−0.505696 | + | 0.862712i | \(0.668764\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.500000 | + | 0.363271i | −0.109109 | + | 0.0792723i | ||||
\(22\) | −4.97980 | − | 6.85410i | −1.06170 | − | 1.46130i | ||||
\(23\) | 3.57971 | − | 1.16312i | 0.746422 | − | 0.242527i | 0.0889808 | − | 0.996033i | \(-0.471639\pi\) |
0.657441 | + | 0.753506i | \(0.271639\pi\) | |||||||
\(24\) | −2.23607 | −0.456435 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −3.00000 | −0.588348 | ||||||||
\(27\) | 4.75528 | − | 1.54508i | 0.915155 | − | 0.297352i | ||||
\(28\) | 0.224514 | + | 0.309017i | 0.0424292 | + | 0.0583987i | ||||
\(29\) | −2.92705 | + | 2.12663i | −0.543540 | + | 0.394905i | −0.825398 | − | 0.564551i | \(-0.809049\pi\) |
0.281858 | + | 0.959456i | \(0.409049\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.42705 | + | 1.76336i | 0.435911 | + | 0.316708i | 0.784008 | − | 0.620750i | \(-0.213172\pi\) |
−0.348097 | + | 0.937459i | \(0.613172\pi\) | |||||||
\(32\) | 3.38197i | 0.597853i | ||||||||
\(33\) | 3.07768 | − | 4.23607i | 0.535756 | − | 0.737405i | ||||
\(34\) | −2.61803 | + | 8.05748i | −0.448989 | + | 1.38185i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.381966 | − | 1.17557i | −0.0636610 | − | 0.195928i | ||||
\(37\) | −0.224514 | − | 0.0729490i | −0.0369099 | − | 0.0119927i | 0.290504 | − | 0.956874i | \(-0.406177\pi\) |
−0.327414 | + | 0.944881i | \(0.606177\pi\) | |||||||
\(38\) | 1.31433 | + | 0.427051i | 0.213212 | + | 0.0692768i | ||||
\(39\) | −0.572949 | − | 1.76336i | −0.0917453 | − | 0.282363i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.236068 | + | 0.726543i | −0.0368676 | + | 0.113467i | −0.967797 | − | 0.251733i | \(-0.918999\pi\) |
0.930929 | + | 0.365200i | \(0.118999\pi\) | |||||||
\(42\) | −0.587785 | + | 0.809017i | −0.0906972 | + | 0.124834i | ||||
\(43\) | 4.85410i | 0.740244i | 0.928983 | + | 0.370122i | \(0.120684\pi\) | ||||
−0.928983 | + | 0.370122i | \(0.879316\pi\) | |||||||
\(44\) | −2.61803 | − | 1.90211i | −0.394683 | − | 0.286754i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.92705 | − | 3.57971i | 0.726454 | − | 0.527800i | ||||
\(47\) | −0.363271 | − | 0.500000i | −0.0529886 | − | 0.0729325i | 0.781700 | − | 0.623654i | \(-0.214353\pi\) |
−0.834689 | + | 0.550722i | \(0.814353\pi\) | |||||||
\(48\) | −4.61653 | + | 1.50000i | −0.666338 | + | 0.216506i | ||||
\(49\) | 6.61803 | 0.945433 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −5.23607 | −0.733196 | ||||||||
\(52\) | −1.08981 | + | 0.354102i | −0.151130 | + | 0.0491051i | ||||
\(53\) | −2.04087 | − | 2.80902i | −0.280335 | − | 0.385848i | 0.645510 | − | 0.763752i | \(-0.276645\pi\) |
−0.925845 | + | 0.377904i | \(0.876645\pi\) | |||||||
\(54\) | 6.54508 | − | 4.75528i | 0.890673 | − | 0.647112i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.11803 | − | 0.812299i | −0.149404 | − | 0.108548i | ||||
\(57\) | 0.854102i | 0.113129i | ||||||||
\(58\) | −3.44095 | + | 4.73607i | −0.451820 | + | 0.621876i | ||||
\(59\) | 3.35410 | − | 10.3229i | 0.436667 | − | 1.34392i | −0.454702 | − | 0.890644i | \(-0.650254\pi\) |
0.891369 | − | 0.453279i | \(-0.149746\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.69098 | + | 8.28199i | 0.344545 | + | 1.06040i | 0.961827 | + | 0.273659i | \(0.0882338\pi\) |
−0.617282 | + | 0.786742i | \(0.711766\pi\) | |||||||
\(62\) | 4.61653 | + | 1.50000i | 0.586299 | + | 0.190500i | ||||
\(63\) | 1.17557 | + | 0.381966i | 0.148108 | + | 0.0481232i | ||||
\(64\) | −1.30902 | − | 4.02874i | −0.163627 | − | 0.503593i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.61803 | − | 8.05748i | 0.322258 | − | 0.991807i | ||||
\(67\) | 2.80017 | − | 3.85410i | 0.342095 | − | 0.470853i | −0.602957 | − | 0.797774i | \(-0.706011\pi\) |
0.945052 | + | 0.326920i | \(0.106011\pi\) | |||||||
\(68\) | 3.23607i | 0.392431i | ||||||||
\(69\) | 3.04508 | + | 2.21238i | 0.366585 | + | 0.266340i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.35410 | − | 3.88998i | 0.635415 | − | 0.461656i | −0.222857 | − | 0.974851i | \(-0.571538\pi\) |
0.858272 | + | 0.513195i | \(0.171538\pi\) | |||||||
\(72\) | 2.62866 | + | 3.61803i | 0.309790 | + | 0.426389i | ||||
\(73\) | −8.55951 | + | 2.78115i | −1.00181 | + | 0.325509i | −0.763590 | − | 0.645701i | \(-0.776565\pi\) |
−0.238224 | + | 0.971210i | \(0.576565\pi\) | |||||||
\(74\) | −0.381966 | −0.0444026 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.527864 | 0.0605502 | ||||||||
\(77\) | 3.07768 | − | 1.00000i | 0.350735 | − | 0.113961i | ||||
\(78\) | −1.76336 | − | 2.42705i | −0.199661 | − | 0.274809i | ||||
\(79\) | −6.54508 | + | 4.75528i | −0.736380 | + | 0.535011i | −0.891575 | − | 0.452873i | \(-0.850399\pi\) |
0.155196 | + | 0.987884i | \(0.450399\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.809017 | − | 0.587785i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | 1.23607i | 0.136501i | ||||||||
\(83\) | 3.66547 | − | 5.04508i | 0.402337 | − | 0.553770i | −0.558991 | − | 0.829174i | \(-0.688811\pi\) |
0.961329 | + | 0.275404i | \(0.0888115\pi\) | |||||||
\(84\) | −0.118034 | + | 0.363271i | −0.0128786 | + | 0.0396361i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 2.42705 | + | 7.46969i | 0.261716 | + | 0.805478i | ||||
\(87\) | −3.44095 | − | 1.11803i | −0.368909 | − | 0.119866i | ||||
\(88\) | 11.1352 | + | 3.61803i | 1.18701 | + | 0.385684i | ||||
\(89\) | 2.76393 | + | 8.50651i | 0.292976 | + | 0.901688i | 0.983894 | + | 0.178754i | \(0.0572068\pi\) |
−0.690918 | + | 0.722934i | \(0.742793\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.354102 | − | 1.08981i | 0.0371200 | − | 0.114244i | ||||
\(92\) | 1.36733 | − | 1.88197i | 0.142554 | − | 0.196209i | ||||
\(93\) | 3.00000i | 0.311086i | ||||||||
\(94\) | −0.809017 | − | 0.587785i | −0.0834437 | − | 0.0606254i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −2.73607 | + | 1.98787i | −0.279249 | + | 0.202886i | ||||
\(97\) | 2.26538 | + | 3.11803i | 0.230015 | + | 0.316588i | 0.908387 | − | 0.418130i | \(-0.137314\pi\) |
−0.678372 | + | 0.734718i | \(0.737314\pi\) | |||||||
\(98\) | 10.1841 | − | 3.30902i | 1.02875 | − | 0.334261i | ||||
\(99\) | −10.4721 | −1.05249 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.47214 | 0.146483 | 0.0732415 | − | 0.997314i | \(-0.476666\pi\) | ||||
0.0732415 | + | 0.997314i | \(0.476666\pi\) | |||||||
\(102\) | −8.05748 | + | 2.61803i | −0.797809 | + | 0.259224i | ||||
\(103\) | 5.03280 | + | 6.92705i | 0.495896 | + | 0.682543i | 0.981462 | − | 0.191658i | \(-0.0613863\pi\) |
−0.485566 | + | 0.874200i | \(0.661386\pi\) | |||||||
\(104\) | 3.35410 | − | 2.43690i | 0.328897 | − | 0.238957i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.54508 | − | 3.30220i | −0.441458 | − | 0.320738i | ||||
\(107\) | − | 16.4164i | − | 1.58703i | −0.608548 | − | 0.793517i | \(-0.708248\pi\) | ||
0.608548 | − | 0.793517i | \(-0.291752\pi\) | |||||||
\(108\) | 1.81636 | − | 2.50000i | 0.174779 | − | 0.240563i | ||||
\(109\) | −3.09017 | + | 9.51057i | −0.295985 | + | 0.910947i | 0.686904 | + | 0.726748i | \(0.258969\pi\) |
−0.982889 | + | 0.184199i | \(0.941031\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.0729490 | − | 0.224514i | −0.00692401 | − | 0.0213099i | ||||
\(112\) | −2.85317 | − | 0.927051i | −0.269599 | − | 0.0875981i | ||||
\(113\) | −16.0292 | − | 5.20820i | −1.50790 | − | 0.489947i | −0.565590 | − | 0.824687i | \(-0.691352\pi\) |
−0.942311 | + | 0.334740i | \(0.891352\pi\) | |||||||
\(114\) | 0.427051 | + | 1.31433i | 0.0399970 | + | 0.123098i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −0.690983 | + | 2.12663i | −0.0641562 | + | 0.197452i | ||||
\(117\) | −2.17963 | + | 3.00000i | −0.201507 | + | 0.277350i | ||||
\(118\) | − | 17.5623i | − | 1.61674i | ||||||
\(119\) | −2.61803 | − | 1.90211i | −0.239995 | − | 0.174366i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −13.2812 | + | 9.64932i | −1.20738 | + | 0.877211i | ||||
\(122\) | 8.28199 | + | 11.3992i | 0.749817 | + | 1.03203i | ||||
\(123\) | −0.726543 | + | 0.236068i | −0.0655101 | + | 0.0212855i | ||||
\(124\) | 1.85410 | 0.166503 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 2.00000 | 0.178174 | ||||||||
\(127\) | −18.9151 | + | 6.14590i | −1.67845 | + | 0.545360i | −0.984609 | − | 0.174772i | \(-0.944081\pi\) |
−0.693837 | + | 0.720132i | \(0.744081\pi\) | |||||||
\(128\) | −8.00448 | − | 11.0172i | −0.707503 | − | 0.973794i | ||||
\(129\) | −3.92705 | + | 2.85317i | −0.345758 | + | 0.251208i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −5.50000 | − | 3.99598i | −0.480537 | − | 0.349131i | 0.320996 | − | 0.947080i | \(-0.395982\pi\) |
−0.801534 | + | 0.597950i | \(0.795982\pi\) | |||||||
\(132\) | − | 3.23607i | − | 0.281664i | ||||||
\(133\) | −0.310271 | + | 0.427051i | −0.0269039 | + | 0.0370300i | ||||
\(134\) | 2.38197 | − | 7.33094i | 0.205771 | − | 0.633297i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.61803 | − | 11.1352i | −0.310244 | − | 0.954832i | ||||
\(137\) | −11.3597 | − | 3.69098i | −0.970523 | − | 0.315342i | −0.219496 | − | 0.975613i | \(-0.570441\pi\) |
−0.751027 | + | 0.660271i | \(0.770441\pi\) | |||||||
\(138\) | 5.79210 | + | 1.88197i | 0.493056 | + | 0.160204i | ||||
\(139\) | −1.54508 | − | 4.75528i | −0.131052 | − | 0.403338i | 0.863903 | − | 0.503659i | \(-0.168013\pi\) |
−0.994955 | + | 0.100321i | \(0.968013\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.190983 | − | 0.587785i | 0.0160837 | − | 0.0495004i | ||||
\(142\) | 6.29412 | − | 8.66312i | 0.528191 | − | 0.726993i | ||||
\(143\) | 9.70820i | 0.811841i | ||||||||
\(144\) | 7.85410 | + | 5.70634i | 0.654508 | + | 0.475528i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −11.7812 | + | 8.55951i | −0.975015 | + | 0.708390i | ||||
\(147\) | 3.88998 | + | 5.35410i | 0.320840 | + | 0.441599i | ||||
\(148\) | −0.138757 | + | 0.0450850i | −0.0114058 | + | 0.00370596i | ||||
\(149\) | 3.94427 | 0.323127 | 0.161564 | − | 0.986862i | \(-0.448346\pi\) | ||||
0.161564 | + | 0.986862i | \(0.448346\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 14.5623 | 1.18506 | 0.592532 | − | 0.805547i | \(-0.298128\pi\) | ||||
0.592532 | + | 0.805547i | \(0.298128\pi\) | |||||||
\(152\) | −1.81636 | + | 0.590170i | −0.147326 | + | 0.0478691i | ||||
\(153\) | 6.15537 | + | 8.47214i | 0.497632 | + | 0.684932i | ||||
\(154\) | 4.23607 | − | 3.07768i | 0.341352 | − | 0.248007i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.927051 | − | 0.673542i | −0.0742235 | − | 0.0539265i | ||||
\(157\) | 13.1803i | 1.05191i | 0.850514 | + | 0.525953i | \(0.176291\pi\) | ||||
−0.850514 | + | 0.525953i | \(0.823709\pi\) | |||||||
\(158\) | −7.69421 | + | 10.5902i | −0.612118 | + | 0.842509i | ||||
\(159\) | 1.07295 | − | 3.30220i | 0.0850904 | − | 0.261881i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.718847 | + | 2.21238i | 0.0566531 | + | 0.174360i | ||||
\(162\) | −1.53884 | − | 0.500000i | −0.120903 | − | 0.0392837i | ||||
\(163\) | −10.4616 | − | 3.39919i | −0.819417 | − | 0.266245i | −0.130836 | − | 0.991404i | \(-0.541766\pi\) |
−0.688581 | + | 0.725159i | \(0.741766\pi\) | |||||||
\(164\) | 0.145898 | + | 0.449028i | 0.0113927 | + | 0.0350632i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.11803 | − | 9.59632i | 0.242006 | − | 0.744819i | ||||
\(167\) | 8.55951 | − | 11.7812i | 0.662355 | − | 0.911653i | −0.337202 | − | 0.941432i | \(-0.609480\pi\) |
0.999556 | + | 0.0297794i | \(0.00948048\pi\) | |||||||
\(168\) | − | 1.38197i | − | 0.106621i | ||||||
\(169\) | −7.73607 | − | 5.62058i | −0.595082 | − | 0.432352i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.38197 | − | 1.00406i | 0.105682 | − | 0.0767822i | ||||
\(172\) | 1.76336 | + | 2.42705i | 0.134455 | + | 0.185061i | ||||
\(173\) | 17.9641 | − | 5.83688i | 1.36578 | − | 0.443770i | 0.467813 | − | 0.883827i | \(-0.345042\pi\) |
0.897970 | + | 0.440057i | \(0.145042\pi\) | |||||||
\(174\) | −5.85410 | −0.443798 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 25.4164 | 1.91583 | ||||||||
\(177\) | 10.3229 | − | 3.35410i | 0.775914 | − | 0.252110i | ||||
\(178\) | 8.50651 | + | 11.7082i | 0.637590 | + | 0.877567i | ||||
\(179\) | −0.427051 | + | 0.310271i | −0.0319193 | + | 0.0231907i | −0.603631 | − | 0.797264i | \(-0.706280\pi\) |
0.571711 | + | 0.820455i | \(0.306280\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.236068 | − | 0.171513i | −0.0175468 | − | 0.0127485i | 0.578977 | − | 0.815344i | \(-0.303452\pi\) |
−0.596524 | + | 0.802595i | \(0.703452\pi\) | |||||||
\(182\) | − | 1.85410i | − | 0.137435i | ||||||
\(183\) | −5.11855 | + | 7.04508i | −0.378374 | + | 0.520788i | ||||
\(184\) | −2.60081 | + | 8.00448i | −0.191734 | + | 0.590098i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 1.50000 | + | 4.61653i | 0.109985 | + | 0.338500i | ||||
\(187\) | 26.0746 | + | 8.47214i | 1.90676 | + | 0.619544i | ||||
\(188\) | −0.363271 | − | 0.118034i | −0.0264943 | − | 0.00860851i | ||||
\(189\) | 0.954915 | + | 2.93893i | 0.0694598 | + | 0.213775i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −0.562306 | + | 1.73060i | −0.0406870 | + | 0.125222i | −0.969337 | − | 0.245736i | \(-0.920970\pi\) |
0.928650 | + | 0.370958i | \(0.120970\pi\) | |||||||
\(192\) | 2.48990 | − | 3.42705i | 0.179693 | − | 0.247326i | ||||
\(193\) | − | 7.70820i | − | 0.554849i | −0.960747 | − | 0.277424i | \(-0.910519\pi\) | ||
0.960747 | − | 0.277424i | \(-0.0894808\pi\) | |||||||
\(194\) | 5.04508 | + | 3.66547i | 0.362216 | + | 0.263165i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.30902 | − | 2.40414i | 0.236358 | − | 0.171724i | ||||
\(197\) | −2.17963 | − | 3.00000i | −0.155292 | − | 0.213741i | 0.724281 | − | 0.689505i | \(-0.242172\pi\) |
−0.879573 | + | 0.475764i | \(0.842172\pi\) | |||||||
\(198\) | −16.1150 | + | 5.23607i | −1.14524 | + | 0.372111i | ||||
\(199\) | 17.5623 | 1.24496 | 0.622479 | − | 0.782636i | \(-0.286125\pi\) | ||||
0.622479 | + | 0.782636i | \(0.286125\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 4.76393 | 0.336022 | ||||||||
\(202\) | 2.26538 | − | 0.736068i | 0.159392 | − | 0.0517896i | ||||
\(203\) | −1.31433 | − | 1.80902i | −0.0922477 | − | 0.126968i | ||||
\(204\) | −2.61803 | + | 1.90211i | −0.183299 | + | 0.133175i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 11.2082 | + | 8.14324i | 0.780913 | + | 0.567366i | ||||
\(207\) | − | 7.52786i | − | 0.523223i | ||||||
\(208\) | 5.29007 | − | 7.28115i | 0.366800 | − | 0.504857i | ||||
\(209\) | 1.38197 | − | 4.25325i | 0.0955926 | − | 0.294204i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.83688 | − | 8.73102i | −0.195299 | − | 0.601068i | −0.999973 | − | 0.00735149i | \(-0.997660\pi\) |
0.804674 | − | 0.593717i | \(-0.202340\pi\) | |||||||
\(212\) | −2.04087 | − | 0.663119i | −0.140168 | − | 0.0455432i | ||||
\(213\) | 6.29412 | + | 2.04508i | 0.431266 | + | 0.140127i | ||||
\(214\) | −8.20820 | − | 25.2623i | −0.561101 | − | 1.72689i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −3.45492 | + | 10.6331i | −0.235077 | + | 0.723493i | ||||
\(217\) | −1.08981 | + | 1.50000i | −0.0739814 | + | 0.101827i | ||||
\(218\) | 16.1803i | 1.09587i | ||||||||
\(219\) | −7.28115 | − | 5.29007i | −0.492015 | − | 0.357470i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 7.85410 | − | 5.70634i | 0.528324 | − | 0.383850i | ||||
\(222\) | −0.224514 | − | 0.309017i | −0.0150684 | − | 0.0207399i | ||||
\(223\) | −0.171513 | + | 0.0557281i | −0.0114854 | + | 0.00373183i | −0.314754 | − | 0.949173i | \(-0.601922\pi\) |
0.303269 | + | 0.952905i | \(0.401922\pi\) | |||||||
\(224\) | −2.09017 | −0.139655 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −27.2705 | −1.81401 | ||||||||
\(227\) | −14.0413 | + | 4.56231i | −0.931956 | + | 0.302811i | −0.735362 | − | 0.677674i | \(-0.762988\pi\) |
−0.196594 | + | 0.980485i | \(0.562988\pi\) | |||||||
\(228\) | 0.310271 | + | 0.427051i | 0.0205482 | + | 0.0282821i | ||||
\(229\) | 17.5623 | − | 12.7598i | 1.16055 | − | 0.843189i | 0.170702 | − | 0.985323i | \(-0.445396\pi\) |
0.989847 | + | 0.142134i | \(0.0453963\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.61803 | + | 1.90211i | 0.172254 | + | 0.125150i | ||||
\(232\) | − | 8.09017i | − | 0.531146i | ||||||
\(233\) | 1.73060 | − | 2.38197i | 0.113375 | − | 0.156048i | −0.748558 | − | 0.663069i | \(-0.769254\pi\) |
0.861933 | + | 0.507021i | \(0.169254\pi\) | |||||||
\(234\) | −1.85410 | + | 5.70634i | −0.121206 | + | 0.373035i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −2.07295 | − | 6.37988i | −0.134937 | − | 0.415295i | ||||
\(237\) | −7.69421 | − | 2.50000i | −0.499793 | − | 0.162392i | ||||
\(238\) | −4.97980 | − | 1.61803i | −0.322792 | − | 0.104882i | ||||
\(239\) | 6.34346 | + | 19.5232i | 0.410324 | + | 1.26285i | 0.916367 | + | 0.400340i | \(0.131108\pi\) |
−0.506043 | + | 0.862508i | \(0.668892\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.781153 | − | 2.40414i | 0.0503185 | − | 0.154864i | −0.922740 | − | 0.385423i | \(-0.874055\pi\) |
0.973058 | + | 0.230559i | \(0.0740554\pi\) | |||||||
\(242\) | −15.6129 | + | 21.4894i | −1.00364 | + | 1.38139i | ||||
\(243\) | − | 16.0000i | − | 1.02640i | ||||||
\(244\) | 4.35410 | + | 3.16344i | 0.278743 | + | 0.202519i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −1.00000 | + | 0.726543i | −0.0637577 | + | 0.0463227i | ||||
\(247\) | −0.930812 | − | 1.28115i | −0.0592262 | − | 0.0815178i | ||||
\(248\) | −6.37988 | + | 2.07295i | −0.405123 | + | 0.131632i | ||||
\(249\) | 6.23607 | 0.395195 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −29.1803 | −1.84185 | −0.920923 | − | 0.389744i | \(-0.872564\pi\) | ||||
−0.920923 | + | 0.389744i | \(0.872564\pi\) | |||||||
\(252\) | 0.726543 | − | 0.236068i | 0.0457679 | − | 0.0148709i | ||||
\(253\) | −11.5842 | − | 15.9443i | −0.728292 | − | 1.00241i | ||||
\(254\) | −26.0344 | + | 18.9151i | −1.63355 | + | 1.18684i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −10.9721 | − | 7.97172i | −0.685758 | − | 0.498233i | ||||
\(257\) | 22.8541i | 1.42560i | 0.701367 | + | 0.712800i | \(0.252573\pi\) | ||||
−0.701367 | + | 0.712800i | \(0.747427\pi\) | |||||||
\(258\) | −4.61653 | + | 6.35410i | −0.287412 | + | 0.395589i | ||||
\(259\) | 0.0450850 | − | 0.138757i | 0.00280144 | − | 0.00862196i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.23607 | + | 6.88191i | 0.138409 | + | 0.425980i | ||||
\(262\) | −10.4616 | − | 3.39919i | −0.646321 | − | 0.210002i | ||||
\(263\) | 10.3759 | + | 3.37132i | 0.639803 | + | 0.207885i | 0.610913 | − | 0.791698i | \(-0.290803\pi\) |
0.0288905 | + | 0.999583i | \(0.490803\pi\) | |||||||
\(264\) | 3.61803 | + | 11.1352i | 0.222675 | + | 0.685322i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −0.263932 | + | 0.812299i | −0.0161827 | + | 0.0498053i | ||||
\(267\) | −5.25731 | + | 7.23607i | −0.321742 | + | 0.442840i | ||||
\(268\) | − | 2.94427i | − | 0.179850i | ||||||
\(269\) | −10.3262 | − | 7.50245i | −0.629602 | − | 0.457433i | 0.226660 | − | 0.973974i | \(-0.427219\pi\) |
−0.856262 | + | 0.516541i | \(0.827219\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6.47214 | − | 4.70228i | 0.393154 | − | 0.285643i | −0.373593 | − | 0.927593i | \(-0.621874\pi\) |
0.766747 | + | 0.641950i | \(0.221874\pi\) | |||||||
\(272\) | −14.9394 | − | 20.5623i | −0.905834 | − | 1.24677i | ||||
\(273\) | 1.08981 | − | 0.354102i | 0.0659585 | − | 0.0214312i | ||||
\(274\) | −19.3262 | −1.16754 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 2.32624 | 0.140023 | ||||||||
\(277\) | 23.4989 | − | 7.63525i | 1.41191 | − | 0.458758i | 0.498889 | − | 0.866666i | \(-0.333742\pi\) |
0.913023 | + | 0.407908i | \(0.133742\pi\) | |||||||
\(278\) | −4.75528 | − | 6.54508i | −0.285203 | − | 0.392548i | ||||
\(279\) | 4.85410 | − | 3.52671i | 0.290607 | − | 0.211139i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −8.16312 | − | 5.93085i | −0.486971 | − | 0.353805i | 0.317047 | − | 0.948410i | \(-0.397309\pi\) |
−0.804018 | + | 0.594605i | \(0.797309\pi\) | |||||||
\(282\) | − | 1.00000i | − | 0.0595491i | ||||||
\(283\) | 17.5478 | − | 24.1525i | 1.04311 | − | 1.43572i | 0.148474 | − | 0.988916i | \(-0.452564\pi\) |
0.894634 | − | 0.446799i | \(-0.147436\pi\) | |||||||
\(284\) | 1.26393 | − | 3.88998i | 0.0750006 | − | 0.230828i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 4.85410 | + | 14.9394i | 0.287029 | + | 0.883385i | ||||
\(287\) | −0.449028 | − | 0.145898i | −0.0265053 | − | 0.00861209i | ||||
\(288\) | 6.43288 | + | 2.09017i | 0.379061 | + | 0.123164i | ||||
\(289\) | −3.21885 | − | 9.90659i | −0.189344 | − | 0.582741i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −1.19098 | + | 3.66547i | −0.0698167 | + | 0.214874i | ||||
\(292\) | −3.26944 | + | 4.50000i | −0.191330 | + | 0.263343i | ||||
\(293\) | 19.5279i | 1.14083i | 0.821357 | + | 0.570415i | \(0.193218\pi\) | ||||
−0.821357 | + | 0.570415i | \(0.806782\pi\) | |||||||
\(294\) | 8.66312 | + | 6.29412i | 0.505243 | + | 0.367081i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0.427051 | − | 0.310271i | 0.0248218 | − | 0.0180341i | ||||
\(297\) | −15.3884 | − | 21.1803i | −0.892927 | − | 1.22901i | ||||
\(298\) | 6.06961 | − | 1.97214i | 0.351603 | − | 0.114243i | ||||
\(299\) | −6.97871 | −0.403589 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.00000 | −0.172917 | ||||||||
\(302\) | 22.4091 | − | 7.28115i | 1.28950 | − | 0.418983i | ||||
\(303\) | 0.865300 | + | 1.19098i | 0.0497102 | + | 0.0684202i | ||||
\(304\) | −3.35410 | + | 2.43690i | −0.192371 | + | 0.139766i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 13.7082 | + | 9.95959i | 0.783646 | + | 0.569352i | ||||
\(307\) | 9.23607i | 0.527130i | 0.964642 | + | 0.263565i | \(0.0848984\pi\) | ||||
−0.964642 | + | 0.263565i | \(0.915102\pi\) | |||||||
\(308\) | 1.17557 | − | 1.61803i | 0.0669843 | − | 0.0921960i | ||||
\(309\) | −2.64590 | + | 8.14324i | −0.150520 | + | 0.463253i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 2.62868 | + | 8.09024i | 0.149059 | + | 0.458755i | 0.997511 | − | 0.0705172i | \(-0.0224650\pi\) |
−0.848452 | + | 0.529272i | \(0.822465\pi\) | |||||||
\(312\) | 3.94298 | + | 1.28115i | 0.223227 | + | 0.0725310i | ||||
\(313\) | 15.9434 | + | 5.18034i | 0.901177 | + | 0.292810i | 0.722723 | − | 0.691138i | \(-0.242890\pi\) |
0.178454 | + | 0.983948i | \(0.442890\pi\) | |||||||
\(314\) | 6.59017 | + | 20.2825i | 0.371905 | + | 1.14461i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.54508 | + | 4.75528i | −0.0869178 | + | 0.267506i | ||||
\(317\) | 4.49801 | − | 6.19098i | 0.252634 | − | 0.347720i | −0.663798 | − | 0.747912i | \(-0.731056\pi\) |
0.916431 | + | 0.400192i | \(0.131056\pi\) | |||||||
\(318\) | − | 5.61803i | − | 0.315044i | ||||||
\(319\) | 15.3262 | + | 11.1352i | 0.858105 | + | 0.623449i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 13.2812 | − | 9.64932i | 0.741282 | − | 0.538573i | ||||
\(322\) | 2.21238 | + | 3.04508i | 0.123291 | + | 0.169696i | ||||
\(323\) | −4.25325 | + | 1.38197i | −0.236657 | + | 0.0768946i | ||||
\(324\) | −0.618034 | −0.0343352 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −17.7984 | −0.985761 | ||||||||
\(327\) | −9.51057 | + | 3.09017i | −0.525935 | + | 0.170887i | ||||
\(328\) | −1.00406 | − | 1.38197i | −0.0554398 | − | 0.0763063i | ||||
\(329\) | 0.309017 | − | 0.224514i | 0.0170367 | − | 0.0123779i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 18.7082 | + | 13.5923i | 1.02830 | + | 0.747101i | 0.967967 | − | 0.251078i | \(-0.0807850\pi\) |
0.0603290 | + | 0.998179i | \(0.480785\pi\) | |||||||
\(332\) | − | 3.85410i | − | 0.211521i | ||||||
\(333\) | −0.277515 | + | 0.381966i | −0.0152077 | + | 0.0209316i | ||||
\(334\) | 7.28115 | − | 22.4091i | 0.398407 | − | 1.22617i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −0.927051 | − | 2.85317i | −0.0505748 | − | 0.155653i | ||||
\(337\) | 7.46969 | + | 2.42705i | 0.406900 | + | 0.132210i | 0.505314 | − | 0.862936i | \(-0.331377\pi\) |
−0.0984135 | + | 0.995146i | \(0.531377\pi\) | |||||||
\(338\) | −14.7149 | − | 4.78115i | −0.800384 | − | 0.260060i | ||||
\(339\) | −5.20820 | − | 16.0292i | −0.282871 | − | 0.870587i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 4.85410 | − | 14.9394i | 0.262864 | − | 0.809013i | ||||
\(342\) | 1.62460 | − | 2.23607i | 0.0878482 | − | 0.120913i | ||||
\(343\) | 8.41641i | 0.454443i | ||||||||
\(344\) | −8.78115 | − | 6.37988i | −0.473448 | − | 0.343980i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 24.7254 | − | 17.9641i | 1.32925 | − | 0.965755i | ||||
\(347\) | 11.7027 | + | 16.1074i | 0.628234 | + | 0.864690i | 0.997920 | − | 0.0644668i | \(-0.0205347\pi\) |
−0.369686 | + | 0.929157i | \(0.620535\pi\) | |||||||
\(348\) | −2.12663 | + | 0.690983i | −0.113999 | + | 0.0370406i | ||||
\(349\) | −21.7082 | −1.16201 | −0.581007 | − | 0.813899i | \(-0.697341\pi\) | ||||
−0.581007 | + | 0.813899i | \(0.697341\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −9.27051 | −0.494823 | ||||||||
\(352\) | 16.8415 | − | 5.47214i | 0.897655 | − | 0.291666i | ||||
\(353\) | 7.58821 | + | 10.4443i | 0.403880 | + | 0.555893i | 0.961712 | − | 0.274061i | \(-0.0883670\pi\) |
−0.557833 | + | 0.829953i | \(0.688367\pi\) | |||||||
\(354\) | 14.2082 | − | 10.3229i | 0.755158 | − | 0.548654i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 4.47214 | + | 3.24920i | 0.237023 | + | 0.172207i | ||||
\(357\) | − | 3.23607i | − | 0.171271i | ||||||
\(358\) | −0.502029 | + | 0.690983i | −0.0265330 | + | 0.0365196i | ||||
\(359\) | −4.24671 | + | 13.0700i | −0.224133 | + | 0.689810i | 0.774246 | + | 0.632885i | \(0.218130\pi\) |
−0.998378 | + | 0.0569247i | \(0.981870\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.64590 | − | 17.3763i | −0.297153 | − | 0.914541i | ||||
\(362\) | −0.449028 | − | 0.145898i | −0.0236004 | − | 0.00766823i | ||||
\(363\) | −15.6129 | − | 5.07295i | −0.819466 | − | 0.266261i | ||||
\(364\) | −0.218847 | − | 0.673542i | −0.0114707 | − | 0.0353032i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −4.35410 | + | 13.4005i | −0.227593 | + | 0.700458i | ||||
\(367\) | −15.0251 | + | 20.6803i | −0.784306 | + | 1.07950i | 0.210488 | + | 0.977597i | \(0.432495\pi\) |
−0.994794 | + | 0.101908i | \(0.967505\pi\) | |||||||
\(368\) | 18.2705i | 0.952416i | ||||||||
\(369\) | 1.23607 | + | 0.898056i | 0.0643471 | + | 0.0467509i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 1.73607 | − | 1.26133i | 0.0901322 | − | 0.0654848i | ||||
\(372\) | 1.08981 | + | 1.50000i | 0.0565042 | + | 0.0777714i | ||||
\(373\) | −26.8869 | + | 8.73607i | −1.39215 | + | 0.452336i | −0.906644 | − | 0.421897i | \(-0.861364\pi\) |
−0.485505 | + | 0.874234i | \(0.661364\pi\) | |||||||
\(374\) | 44.3607 | 2.29384 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.38197 | 0.0712695 | ||||||||
\(377\) | 6.37988 | − | 2.07295i | 0.328581 | − | 0.106762i | ||||
\(378\) | 2.93893 | + | 4.04508i | 0.151162 | + | 0.208057i | ||||
\(379\) | 11.8090 | − | 8.57975i | 0.606588 | − | 0.440712i | −0.241623 | − | 0.970370i | \(-0.577680\pi\) |
0.848211 | + | 0.529658i | \(0.177680\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −16.0902 | − | 11.6902i | −0.824324 | − | 0.598907i | ||||
\(382\) | 2.94427i | 0.150642i | ||||||||
\(383\) | −19.6089 | + | 26.9894i | −1.00197 | + | 1.37909i | −0.0778591 | + | 0.996964i | \(0.524808\pi\) |
−0.924110 | + | 0.382127i | \(0.875192\pi\) | |||||||
\(384\) | 4.20820 | − | 12.9515i | 0.214749 | − | 0.660929i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −3.85410 | − | 11.8617i | −0.196169 | − | 0.603745i | ||||
\(387\) | 9.23305 | + | 3.00000i | 0.469342 | + | 0.152499i | ||||
\(388\) | 2.26538 | + | 0.736068i | 0.115007 | + | 0.0373682i | ||||
\(389\) | −4.63525 | − | 14.2658i | −0.235017 | − | 0.723307i | −0.997119 | − | 0.0758507i | \(-0.975833\pi\) |
0.762102 | − | 0.647456i | \(-0.224167\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.09017 | + | 18.7436i | −0.307993 | + | 0.947905i | ||||
\(392\) | −8.69827 | + | 11.9721i | −0.439329 | + | 0.604684i | ||||
\(393\) | − | 6.79837i | − | 0.342933i | ||||||
\(394\) | −4.85410 | − | 3.52671i | −0.244546 | − | 0.177673i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −5.23607 | + | 3.80423i | −0.263122 | + | 0.191170i | ||||
\(397\) | −17.0660 | − | 23.4894i | −0.856519 | − | 1.17890i | −0.982388 | − | 0.186850i | \(-0.940172\pi\) |
0.125870 | − | 0.992047i | \(-0.459828\pi\) | |||||||
\(398\) | 27.0256 | − | 8.78115i | 1.35467 | − | 0.440159i | ||||
\(399\) | −0.527864 | −0.0264263 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 26.5967 | 1.32818 | 0.664089 | − | 0.747653i | \(-0.268820\pi\) | ||||
0.664089 | + | 0.747653i | \(0.268820\pi\) | |||||||
\(402\) | 7.33094 | − | 2.38197i | 0.365634 | − | 0.118802i | ||||
\(403\) | −3.26944 | − | 4.50000i | −0.162862 | − | 0.224161i | ||||
\(404\) | 0.736068 | − | 0.534785i | 0.0366208 | − | 0.0266065i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.92705 | − | 2.12663i | −0.145267 | − | 0.105543i | ||||
\(407\) | 1.23607i | 0.0612696i | ||||||||
\(408\) | 6.88191 | − | 9.47214i | 0.340705 | − | 0.468941i | ||||
\(409\) | −0.489357 | + | 1.50609i | −0.0241971 | + | 0.0744711i | −0.962426 | − | 0.271544i | \(-0.912466\pi\) |
0.938229 | + | 0.346016i | \(0.112466\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −3.69098 | − | 11.3597i | −0.182063 | − | 0.560332i | ||||
\(412\) | 5.03280 | + | 1.63525i | 0.247948 | + | 0.0805632i | ||||
\(413\) | 6.37988 | + | 2.07295i | 0.313933 | + | 0.102003i | ||||
\(414\) | −3.76393 | − | 11.5842i | −0.184987 | − | 0.569332i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 1.93769 | − | 5.96361i | 0.0950033 | − | 0.292390i | ||||
\(417\) | 2.93893 | − | 4.04508i | 0.143920 | − | 0.198089i | ||||
\(418\) | − | 7.23607i | − | 0.353928i | ||||||
\(419\) | −7.66312 | − | 5.56758i | −0.374368 | − | 0.271994i | 0.384652 | − | 0.923062i | \(-0.374321\pi\) |
−0.759020 | + | 0.651068i | \(0.774321\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −25.8885 | + | 18.8091i | −1.26173 | + | 0.916701i | −0.998841 | − | 0.0481252i | \(-0.984675\pi\) |
−0.262889 | + | 0.964826i | \(0.584675\pi\) | |||||||
\(422\) | −8.73102 | − | 12.0172i | −0.425020 | − | 0.584989i | ||||
\(423\) | −1.17557 | + | 0.381966i | −0.0571582 | + | 0.0185718i | ||||
\(424\) | 7.76393 | 0.377050 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 10.7082 | 0.518814 | ||||||||
\(427\) | −5.11855 | + | 1.66312i | −0.247704 | + | 0.0804840i | ||||
\(428\) | −5.96361 | − | 8.20820i | −0.288262 | − | 0.396759i | ||||
\(429\) | −7.85410 | + | 5.70634i | −0.379200 | + | 0.275505i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 24.1353 | + | 17.5353i | 1.16255 | + | 0.844645i | 0.990099 | − | 0.140372i | \(-0.0448299\pi\) |
0.172456 | + | 0.985017i | \(0.444830\pi\) | |||||||
\(432\) | 24.2705i | 1.16772i | ||||||||
\(433\) | −15.7844 | + | 21.7254i | −0.758552 | + | 1.04406i | 0.238781 | + | 0.971073i | \(0.423252\pi\) |
−0.997333 | + | 0.0729839i | \(0.976748\pi\) | |||||||
\(434\) | −0.927051 | + | 2.85317i | −0.0444999 | + | 0.136957i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.90983 | + | 5.87785i | 0.0914643 | + | 0.281498i | ||||
\(437\) | 3.05744 | + | 0.993422i | 0.146257 | + | 0.0475218i | ||||
\(438\) | −13.8496 | − | 4.50000i | −0.661758 | − | 0.215018i | ||||
\(439\) | 12.6631 | + | 38.9731i | 0.604378 | + | 1.86008i | 0.501013 | + | 0.865440i | \(0.332961\pi\) |
0.103365 | + | 0.994644i | \(0.467039\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 4.09017 | − | 12.5882i | 0.194770 | − | 0.599440i | ||||
\(442\) | 9.23305 | − | 12.7082i | 0.439171 | − | 0.604468i | ||||
\(443\) | − | 29.9443i | − | 1.42270i | −0.702840 | − | 0.711348i | \(-0.748085\pi\) | ||
0.702840 | − | 0.711348i | \(-0.251915\pi\) | |||||||
\(444\) | −0.118034 | − | 0.0857567i | −0.00560165 | − | 0.00406983i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −0.236068 | + | 0.171513i | −0.0111781 | + | 0.00812140i | ||||
\(447\) | 2.31838 | + | 3.19098i | 0.109656 | + | 0.150928i | ||||
\(448\) | 2.48990 | − | 0.809017i | 0.117637 | − | 0.0382225i | ||||
\(449\) | −4.67376 | −0.220568 | −0.110284 | − | 0.993900i | \(-0.535176\pi\) | ||||
−0.110284 | + | 0.993900i | \(0.535176\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.00000 | 0.188353 | ||||||||
\(452\) | −9.90659 | + | 3.21885i | −0.465967 | + | 0.151402i | ||||
\(453\) | 8.55951 | + | 11.7812i | 0.402161 | + | 0.553527i | ||||
\(454\) | −19.3262 | + | 14.0413i | −0.907025 | + | 0.658992i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.54508 | − | 1.12257i | −0.0723552 | − | 0.0525692i | ||||
\(457\) | − | 21.4164i | − | 1.00182i | −0.865500 | − | 0.500909i | \(-0.832999\pi\) | ||
0.865500 | − | 0.500909i | \(-0.167001\pi\) | |||||||
\(458\) | 20.6457 | − | 28.4164i | 0.964712 | − | 1.32781i | ||||
\(459\) | −8.09017 | + | 24.8990i | −0.377617 | + | 1.16218i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 0.253289 | + | 0.779543i | 0.0117968 | + | 0.0363069i | 0.956782 | − | 0.290807i | \(-0.0939238\pi\) |
−0.944985 | + | 0.327114i | \(0.893924\pi\) | |||||||
\(462\) | 4.97980 | + | 1.61803i | 0.231681 | + | 0.0752778i | ||||
\(463\) | 22.9439 | + | 7.45492i | 1.06629 | + | 0.346459i | 0.789042 | − | 0.614339i | \(-0.210577\pi\) |
0.277250 | + | 0.960798i | \(0.410577\pi\) | |||||||
\(464\) | −5.42705 | − | 16.7027i | −0.251945 | − | 0.775405i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.47214 | − | 4.53077i | 0.0681954 | − | 0.209884i | ||||
\(467\) | 16.1352 | − | 22.2082i | 0.746648 | − | 1.02767i | −0.251560 | − | 0.967842i | \(-0.580944\pi\) |
0.998208 | − | 0.0598315i | \(-0.0190563\pi\) | |||||||
\(468\) | 2.29180i | 0.105938i | ||||||||
\(469\) | 2.38197 | + | 1.73060i | 0.109989 | + | 0.0799117i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −10.6631 | + | 7.74721i | −0.491331 | + | 0.356973i | ||||
\(472\) | 14.2658 | + | 19.6353i | 0.656639 | + | 0.903786i | ||||
\(473\) | 24.1724 | − | 7.85410i | 1.11145 | − | 0.361132i | ||||
\(474\) | −13.0902 | −0.601251 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −2.00000 | −0.0916698 | ||||||||
\(477\) | −6.60440 | + | 2.14590i | −0.302394 | + | 0.0982539i | ||||
\(478\) | 19.5232 | + | 26.8713i | 0.892969 | + | 1.22907i | ||||
\(479\) | −8.78115 | + | 6.37988i | −0.401221 | + | 0.291504i | −0.770038 | − | 0.637998i | \(-0.779763\pi\) |
0.368817 | + | 0.929502i | \(0.379763\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.354102 | + | 0.257270i | 0.0161457 | + | 0.0117305i | ||||
\(482\) | − | 4.09017i | − | 0.186302i | ||||||
\(483\) | −1.36733 | + | 1.88197i | −0.0622156 | + | 0.0856324i | ||||
\(484\) | −3.13525 | + | 9.64932i | −0.142512 | + | 0.438606i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −8.00000 | − | 24.6215i | −0.362887 | − | 1.11685i | ||||
\(487\) | −34.6341 | − | 11.2533i | −1.56942 | − | 0.509935i | −0.610116 | − | 0.792312i | \(-0.708877\pi\) |
−0.959303 | + | 0.282377i | \(0.908877\pi\) | |||||||
\(488\) | −18.5191 | − | 6.01722i | −0.838320 | − | 0.272387i | ||||
\(489\) | −3.39919 | − | 10.4616i | −0.153717 | − | 0.473091i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −13.3647 | + | 41.1325i | −0.603143 | + | 1.85628i | −0.0940550 | + | 0.995567i | \(0.529983\pi\) |
−0.509088 | + | 0.860715i | \(0.670017\pi\) | |||||||
\(492\) | −0.277515 | + | 0.381966i | −0.0125113 | + | 0.0172204i | ||||
\(493\) | − | 18.9443i | − | 0.853207i | ||||||
\(494\) | −2.07295 | − | 1.50609i | −0.0932664 | − | 0.0677620i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −11.7812 | + | 8.55951i | −0.528989 | + | 0.384333i | ||||
\(497\) | 2.40414 | + | 3.30902i | 0.107840 | + | 0.148430i | ||||
\(498\) | 9.59632 | − | 3.11803i | 0.430021 | − | 0.139722i | ||||
\(499\) | −7.56231 | −0.338535 | −0.169268 | − | 0.985570i | \(-0.554140\pi\) | ||||
−0.169268 | + | 0.985570i | \(0.554140\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 14.5623 | 0.650596 | ||||||||
\(502\) | −44.9039 | + | 14.5902i | −2.00416 | + | 0.651191i | ||||
\(503\) | −21.9928 | − | 30.2705i | −0.980611 | − | 1.34970i | −0.936500 | − | 0.350669i | \(-0.885954\pi\) |
−0.0441115 | − | 0.999027i | \(-0.514046\pi\) | |||||||
\(504\) | −2.23607 | + | 1.62460i | −0.0996024 | + | 0.0723654i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −25.7984 | − | 18.7436i | −1.14688 | − | 0.833255i | ||||
\(507\) | − | 9.56231i | − | 0.424677i | ||||||
\(508\) | −7.22494 | + | 9.94427i | −0.320555 | + | 0.441206i | ||||
\(509\) | 6.28115 | − | 19.3314i | 0.278407 | − | 0.856849i | −0.709891 | − | 0.704312i | \(-0.751256\pi\) |
0.988298 | − | 0.152537i | \(-0.0487444\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.71885 | − | 5.29007i | −0.0760373 | − | 0.234019i | ||||
\(512\) | 5.03280 | + | 1.63525i | 0.222420 | + | 0.0722687i | ||||
\(513\) | 4.06150 | + | 1.31966i | 0.179319 | + | 0.0582644i | ||||
\(514\) | 11.4271 | + | 35.1688i | 0.504026 | + | 1.55123i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −0.927051 | + | 2.85317i | −0.0408111 | + | 0.125604i | ||||
\(517\) | −1.90211 | + | 2.61803i | −0.0836548 | + | 0.115141i | ||||
\(518\) | − | 0.236068i | − | 0.0103722i | ||||||
\(519\) | 15.2812 | + | 11.1024i | 0.670768 | + | 0.487342i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −23.7533 | + | 17.2578i | −1.04065 | + | 0.756077i | −0.970412 | − | 0.241453i | \(-0.922376\pi\) |
−0.0702381 | + | 0.997530i | \(0.522376\pi\) | |||||||
\(522\) | 6.88191 | + | 9.47214i | 0.301213 | + | 0.414584i | ||||
\(523\) | −12.5025 | + | 4.06231i | −0.546696 | + | 0.177632i | −0.569326 | − | 0.822112i | \(-0.692796\pi\) |
0.0226305 | + | 0.999744i | \(0.492796\pi\) | |||||||
\(524\) | −4.20163 | −0.183549 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 17.6525 | 0.769685 | ||||||||
\(527\) | −14.9394 | + | 4.85410i | −0.650770 | + | 0.211448i | ||||
\(528\) | 14.9394 | + | 20.5623i | 0.650153 | + | 0.894860i | ||||
\(529\) | −7.14590 | + | 5.19180i | −0.310691 | + | 0.225730i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −17.5623 | − | 12.7598i | −0.762139 | − | 0.553727i | ||||
\(532\) | 0.326238i | 0.0141442i | ||||||||
\(533\) | 0.832544 | − | 1.14590i | 0.0360615 | − | 0.0496344i | ||||
\(534\) | −4.47214 | + | 13.7638i | −0.193528 | + | 0.595619i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 3.29180 | + | 10.1311i | 0.142184 | + | 0.437597i | ||||
\(537\) | −0.502029 | − | 0.163119i | −0.0216641 | − | 0.00703910i | ||||
\(538\) | −19.6417 | − | 6.38197i | −0.846813 | − | 0.275146i | ||||
\(539\) | −10.7082 | − | 32.9565i | −0.461235 | − | 1.41954i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 8.38197 | − | 25.7970i | 0.360369 | − | 1.10910i | −0.592462 | − | 0.805599i | \(-0.701844\pi\) |
0.952831 | − | 0.303503i | \(-0.0981561\pi\) | |||||||
\(542\) | 7.60845 | − | 10.4721i | 0.326811 | − | 0.449817i | ||||
\(543\) | − | 0.291796i | − | 0.0125222i | ||||||
\(544\) | −14.3262 | − | 10.4086i | −0.614232 | − | 0.446266i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 1.50000 | − | 1.08981i | 0.0641941 | − | 0.0466397i | ||||
\(547\) | 12.5150 | + | 17.2254i | 0.535103 | + | 0.736506i | 0.987897 | − | 0.155109i | \(-0.0495729\pi\) |
−0.452794 | + | 0.891615i | \(0.649573\pi\) | |||||||
\(548\) | −7.02067 | + | 2.28115i | −0.299908 | + | 0.0974460i | ||||
\(549\) | 17.4164 | 0.743314 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −3.09017 | −0.131646 | ||||||||
\(552\) | −8.00448 | + | 2.60081i | −0.340693 | + | 0.110698i | ||||
\(553\) | −2.93893 | − | 4.04508i | −0.124976 | − | 0.172015i | ||||
\(554\) | 32.3435 | − | 23.4989i | 1.37414 | − | 0.998373i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2.50000 | − | 1.81636i | −0.106024 | − | 0.0770307i | ||||
\(557\) | 4.76393i | 0.201854i | 0.994894 | + | 0.100927i | \(0.0321809\pi\) | ||||
−0.994894 | + | 0.100927i | \(0.967819\pi\) | |||||||
\(558\) | 5.70634 | − | 7.85410i | 0.241569 | − | 0.332491i | ||||
\(559\) | 2.78115 | − | 8.55951i | 0.117630 | − | 0.362029i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 8.47214 | + | 26.0746i | 0.357694 | + | 1.10087i | ||||
\(562\) | −15.5272 | − | 5.04508i | −0.654974 | − | 0.212814i | ||||
\(563\) | −7.02067 | − | 2.28115i | −0.295886 | − | 0.0961391i | 0.157312 | − | 0.987549i | \(-0.449717\pi\) |
−0.453198 | + | 0.891410i | \(0.649717\pi\) | |||||||
\(564\) | −0.118034 | − | 0.363271i | −0.00497013 | − | 0.0152965i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 14.9271 | − | 45.9407i | 0.627431 | − | 1.93103i | ||||
\(567\) | 0.363271 | − | 0.500000i | 0.0152560 | − | 0.0209980i | ||||
\(568\) | 14.7984i | 0.620926i | ||||||||
\(569\) | 16.6074 | + | 12.0660i | 0.696218 | + | 0.505832i | 0.878698 | − | 0.477377i | \(-0.158413\pi\) |
−0.182480 | + | 0.983210i | \(0.558413\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.57295 | − | 4.77553i | 0.275069 | − | 0.199850i | −0.441695 | − | 0.897165i | \(-0.645623\pi\) |
0.716764 | + | 0.697316i | \(0.245623\pi\) | |||||||
\(572\) | 3.52671 | + | 4.85410i | 0.147459 | + | 0.202960i | ||||
\(573\) | −1.73060 | + | 0.562306i | −0.0722968 | + | 0.0234907i | ||||
\(574\) | −0.763932 | −0.0318859 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −8.47214 | −0.353006 | ||||||||
\(577\) | 32.1239 | − | 10.4377i | 1.33734 | − | 0.434527i | 0.448923 | − | 0.893571i | \(-0.351808\pi\) |
0.888414 | + | 0.459044i | \(0.151808\pi\) | |||||||
\(578\) | −9.90659 | − | 13.6353i | −0.412060 | − | 0.567152i | ||||
\(579\) | 6.23607 | − | 4.53077i | 0.259162 | − | 0.188292i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 3.11803 | + | 2.26538i | 0.129358 | + | 0.0939840i | ||||
\(582\) | 6.23607i | 0.258493i | ||||||||
\(583\) | −10.6861 | + | 14.7082i | −0.442575 | + | 0.609152i | ||||
\(584\) | 6.21885 | − | 19.1396i | 0.257338 | − | 0.792004i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 9.76393 | + | 30.0503i | 0.403344 | + | 1.24137i | ||||
\(587\) | 5.03280 | + | 1.63525i | 0.207726 | + | 0.0674942i | 0.411032 | − | 0.911621i | \(-0.365169\pi\) |
−0.203306 | + | 0.979115i | \(0.565169\pi\) | |||||||
\(588\) | 3.88998 | + | 1.26393i | 0.160420 | + | 0.0521237i | ||||
\(589\) | 0.791796 | + | 2.43690i | 0.0326254 | + | 0.100411i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 1.14590 | − | 3.52671i | 0.0471359 | − | 0.145070i | ||||
\(592\) | 0.673542 | − | 0.927051i | 0.0276824 | − | 0.0381016i | ||||
\(593\) | 10.9098i | 0.448013i | 0.974588 | + | 0.224007i | \(0.0719137\pi\) | ||||
−0.974588 | + | 0.224007i | \(0.928086\pi\) | |||||||
\(594\) | −34.2705 | − | 24.8990i | −1.40614 | − | 1.02162i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.97214 | − | 1.43284i | 0.0807818 | − | 0.0586914i | ||||
\(597\) | 10.3229 | + | 14.2082i | 0.422487 | + | 0.581503i | ||||
\(598\) | −10.7391 | + | 3.48936i | −0.439156 | + | 0.142690i | ||||
\(599\) | 9.47214 | 0.387021 | 0.193510 | − | 0.981098i | \(-0.438013\pi\) | ||||
0.193510 | + | 0.981098i | \(0.438013\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 2.72949 | 0.111338 | 0.0556691 | − | 0.998449i | \(-0.482271\pi\) | ||||
0.0556691 | + | 0.998449i | \(0.482271\pi\) | |||||||
\(602\) | −4.61653 | + | 1.50000i | −0.188156 | + | 0.0611354i | ||||
\(603\) | −5.60034 | − | 7.70820i | −0.228063 | − | 0.313902i | ||||
\(604\) | 7.28115 | − | 5.29007i | 0.296266 | − | 0.215250i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 1.92705 | + | 1.40008i | 0.0782811 | + | 0.0568745i | ||||
\(607\) | − | 35.5623i | − | 1.44343i | −0.692191 | − | 0.721715i | \(-0.743354\pi\) | ||
0.692191 | − | 0.721715i | \(-0.256646\pi\) | |||||||
\(608\) | −1.69784 | + | 2.33688i | −0.0688566 | + | 0.0947730i | ||||
\(609\) | 0.690983 | − | 2.12663i | 0.0280000 | − | 0.0861753i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.354102 | + | 1.08981i | 0.0143254 | + | 0.0440891i | ||||
\(612\) | 6.15537 | + | 2.00000i | 0.248816 | + | 0.0808452i | ||||
\(613\) | 14.2456 | + | 4.62868i | 0.575374 | + | 0.186951i | 0.582227 | − | 0.813026i | \(-0.302181\pi\) |
−0.00685287 | + | 0.999977i | \(0.502181\pi\) | |||||||
\(614\) | 4.61803 | + | 14.2128i | 0.186369 | + | 0.573584i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.23607 | + | 6.88191i | −0.0900937 | + | 0.277280i | ||||
\(617\) | 8.36775 | − | 11.5172i | 0.336873 | − | 0.463666i | −0.606652 | − | 0.794968i | \(-0.707488\pi\) |
0.943525 | + | 0.331302i | \(0.107488\pi\) | |||||||
\(618\) | 13.8541i | 0.557294i | ||||||||
\(619\) | 24.6976 | + | 17.9438i | 0.992679 | + | 0.721223i | 0.960506 | − | 0.278259i | \(-0.0897573\pi\) |
0.0321727 | + | 0.999482i | \(0.489757\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 15.2254 | − | 11.0619i | 0.610975 | − | 0.443900i | ||||
\(622\) | 8.09024 | + | 11.1353i | 0.324389 | + | 0.446483i | ||||
\(623\) | −5.25731 | + | 1.70820i | −0.210630 | + | 0.0684377i | ||||
\(624\) | 9.00000 | 0.360288 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 27.1246 | 1.08412 | ||||||||
\(627\) | 4.25325 | − | 1.38197i | 0.169859 | − | 0.0551904i | ||||
\(628\) | 4.78804 | + | 6.59017i | 0.191064 | + | 0.262976i | ||||
\(629\) | 1.00000 | − | 0.726543i | 0.0398726 | − | 0.0289691i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.28115 | + | 6.01661i | 0.329667 | + | 0.239517i | 0.740290 | − | 0.672288i | \(-0.234688\pi\) |
−0.410622 | + | 0.911806i | \(0.634688\pi\) | |||||||
\(632\) | − | 18.0902i | − | 0.719588i | ||||||
\(633\) | 5.39607 | − | 7.42705i | 0.214474 | − | 0.295199i | ||||
\(634\) | 3.82624 | − | 11.7759i | 0.151959 | − | 0.467683i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −0.663119 | − | 2.04087i | −0.0262944 | − | 0.0809258i | ||||
\(637\) | −11.6699 | − | 3.79180i | −0.462380 | − | 0.150236i | ||||
\(638\) | 29.1522 | + | 9.47214i | 1.15415 | + | 0.375005i | ||||
\(639\) | −4.09017 | − | 12.5882i | −0.161805 | − | 0.497983i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −0.336881 | + | 1.03681i | −0.0133060 | + | 0.0409517i | −0.957489 | − | 0.288470i | \(-0.906854\pi\) |
0.944183 | + | 0.329421i | \(0.106854\pi\) | |||||||
\(642\) | 15.6129 | − | 21.4894i | 0.616193 | − | 0.848117i | ||||
\(643\) | 30.8328i | 1.21593i | 0.793965 | + | 0.607964i | \(0.208013\pi\) | ||||
−0.793965 | + | 0.607964i | \(0.791987\pi\) | |||||||
\(644\) | 1.16312 | + | 0.845055i | 0.0458333 | + | 0.0332998i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −5.85410 | + | 4.25325i | −0.230327 | + | 0.167342i | ||||
\(647\) | 21.4783 | + | 29.5623i | 0.844398 | + | 1.16221i | 0.985069 | + | 0.172158i | \(0.0550739\pi\) |
−0.140671 | + | 0.990056i | \(0.544926\pi\) | |||||||
\(648\) | 2.12663 | − | 0.690983i | 0.0835418 | − | 0.0271444i | ||||
\(649\) | −56.8328 | −2.23088 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.85410 | −0.0726680 | ||||||||
\(652\) | −6.46564 | + | 2.10081i | −0.253214 | + | 0.0822742i | ||||
\(653\) | 11.2209 | + | 15.4443i | 0.439109 | + | 0.604381i | 0.970014 | − | 0.243050i | \(-0.0781480\pi\) |
−0.530905 | + | 0.847431i | \(0.678148\pi\) | |||||||
\(654\) | −13.0902 | + | 9.51057i | −0.511866 | + | 0.371893i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −3.00000 | − | 2.17963i | −0.117130 | − | 0.0851002i | ||||
\(657\) | 18.0000i | 0.702247i | ||||||||
\(658\) | 0.363271 | − | 0.500000i | 0.0141618 | − | 0.0194920i | ||||
\(659\) | −4.79837 | + | 14.7679i | −0.186918 | + | 0.575275i | −0.999976 | − | 0.00690786i | \(-0.997801\pi\) |
0.813058 | + | 0.582183i | \(0.197801\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 6.08359 | + | 18.7234i | 0.236624 | + | 0.728255i | 0.996902 | + | 0.0786563i | \(0.0250630\pi\) |
−0.760277 | + | 0.649598i | \(0.774937\pi\) | |||||||
\(662\) | 35.5851 | + | 11.5623i | 1.38305 | + | 0.449382i | ||||
\(663\) | 9.23305 | + | 3.00000i | 0.358582 | + | 0.116510i | ||||
\(664\) | 4.30902 | + | 13.2618i | 0.167222 | + | 0.514657i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −0.236068 | + | 0.726543i | −0.00914745 | + | 0.0281530i | ||||
\(667\) | −8.00448 | + | 11.0172i | −0.309935 | + | 0.426588i | ||||
\(668\) | − | 9.00000i | − | 0.348220i | ||||||
\(669\) | −0.145898 | − | 0.106001i | −0.00564074 | − | 0.00409824i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 36.8885 | − | 26.8011i | 1.42407 | − | 1.03464i | ||||
\(672\) | −1.22857 | − | 1.69098i | −0.0473932 | − | 0.0652311i | ||||
\(673\) | 11.5842 | − | 3.76393i | 0.446538 | − | 0.145089i | −0.0771122 | − | 0.997022i | \(-0.524570\pi\) |
0.523650 | + | 0.851934i | \(0.324570\pi\) | |||||||
\(674\) | 12.7082 | 0.489502 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.90983 | −0.227301 | ||||||||
\(677\) | −10.0984 | + | 3.28115i | −0.388111 | + | 0.126105i | −0.496571 | − | 0.867996i | \(-0.665408\pi\) |
0.108460 | + | 0.994101i | \(0.465408\pi\) | |||||||
\(678\) | −16.0292 | − | 22.0623i | −0.615598 | − | 0.847298i | ||||
\(679\) | −1.92705 | + | 1.40008i | −0.0739534 | + | 0.0537303i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −11.9443 | − | 8.67802i | −0.457705 | − | 0.332543i | ||||
\(682\) | − | 25.4164i | − | 0.973245i | ||||||
\(683\) | 7.91872 | − | 10.8992i | 0.303002 | − | 0.417046i | −0.630181 | − | 0.776448i | \(-0.717019\pi\) |
0.933183 | + | 0.359402i | \(0.117019\pi\) | |||||||
\(684\) | 0.326238 | − | 1.00406i | 0.0124740 | − | 0.0383911i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 4.20820 | + | 12.9515i | 0.160670 | + | 0.494491i | ||||
\(687\) | 20.6457 | + | 6.70820i | 0.787684 | + | 0.255934i | ||||
\(688\) | −22.4091 | − | 7.28115i | −0.854338 | − | 0.277591i | ||||
\(689\) | 1.98936 | + | 6.12261i | 0.0757885 | + | 0.233253i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 11.2082 | − | 34.4953i | 0.426380 | − | 1.31226i | −0.475286 | − | 0.879831i | \(-0.657656\pi\) |
0.901667 | − | 0.432432i | \(-0.142344\pi\) | |||||||
\(692\) | 6.86167 | − | 9.44427i | 0.260841 | − | 0.359017i | ||||
\(693\) | − | 6.47214i | − | 0.245856i | ||||||
\(694\) | 26.0623 | + | 18.9354i | 0.989312 | + | 0.718777i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 6.54508 | − | 4.75528i | 0.248091 | − | 0.180249i | ||||
\(697\) | −2.35114 | − | 3.23607i | −0.0890558 | − | 0.122575i | ||||
\(698\) | −33.4055 | + | 10.8541i | −1.26442 | + | 0.410834i | ||||
\(699\) | 2.94427 | 0.111363 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −41.0132 | −1.54905 | −0.774523 | − | 0.632546i | \(-0.782010\pi\) | ||||
−0.774523 | + | 0.632546i | \(0.782010\pi\) | |||||||
\(702\) | −14.2658 | + | 4.63525i | −0.538430 | + | 0.174946i | ||||
\(703\) | −0.118513 | − | 0.163119i | −0.00446980 | − | 0.00615215i | ||||
\(704\) | −17.9443 | + | 13.0373i | −0.676300 | + | 0.491361i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 16.8992 | + | 12.2780i | 0.636009 | + | 0.462088i | ||||
\(707\) | 0.909830i | 0.0342177i | ||||||||
\(708\) | 3.94298 | − | 5.42705i | 0.148186 | − | 0.203961i | ||||
\(709\) | 10.3647 | − | 31.8994i | 0.389256 | − | 1.19801i | −0.544089 | − | 0.839027i | \(-0.683125\pi\) |
0.933345 | − | 0.358980i | \(-0.116875\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 5.00000 | + | 15.3884i | 0.187515 | + | 0.577111i | ||||
\(712\) | −19.0211 | − | 6.18034i | −0.712847 | − | 0.231618i | ||||
\(713\) | 10.7391 | + | 3.48936i | 0.402184 | + | 0.130677i | ||||
\(714\) | −1.61803 | − | 4.97980i | −0.0605534 | − | 0.186364i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −0.100813 | + | 0.310271i | −0.00376756 | + | 0.0115954i | ||||
\(717\) | −12.0660 | + | 16.6074i | −0.450612 | + | 0.620214i | ||||
\(718\) | 22.2361i | 0.829843i | ||||||||
\(719\) | −18.8435 | − | 13.6906i | −0.702742 | − | 0.510572i | 0.178082 | − | 0.984016i | \(-0.443011\pi\) |
−0.880824 | + | 0.473443i | \(0.843011\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.28115 | + | 3.11044i | −0.159438 | + | 0.115839i | ||||
\(722\) | −17.3763 | − | 23.9164i | −0.646678 | − | 0.890077i | ||||
\(723\) | 2.40414 | − | 0.781153i | 0.0894110 | − | 0.0290514i | ||||
\(724\) | −0.180340 | −0.00670228 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −26.5623 | −0.985820 | ||||||||
\(727\) | −23.3601 | + | 7.59017i | −0.866380 | + | 0.281504i | −0.708291 | − | 0.705921i | \(-0.750533\pi\) |
−0.158089 | + | 0.987425i | \(0.550533\pi\) | |||||||
\(728\) | 1.50609 | + | 2.07295i | 0.0558192 | + | 0.0768286i | ||||
\(729\) | 10.5172 | − | 7.64121i | 0.389527 | − | 0.283008i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −20.5623 | − | 14.9394i | −0.760524 | − | 0.552553i | ||||
\(732\) | 5.38197i | 0.198923i | ||||||||
\(733\) | 11.7432 | − | 16.1631i | 0.433745 | − | 0.596998i | −0.535063 | − | 0.844812i | \(-0.679712\pi\) |
0.968808 | + | 0.247814i | \(0.0797121\pi\) | |||||||
\(734\) | −12.7812 | + | 39.3363i | −0.471761 | + | 1.45193i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.93363 | + | 12.1065i | 0.144995 | + | 0.446250i | ||||
\(737\) | −23.7234 | − | 7.70820i | −0.873863 | − | 0.283935i | ||||
\(738\) | 2.35114 | + | 0.763932i | 0.0865467 | + | 0.0281207i | ||||
\(739\) | −4.93769 | − | 15.1967i | −0.181636 | − | 0.559018i | 0.818238 | − | 0.574879i | \(-0.194951\pi\) |
−0.999874 | + | 0.0158612i | \(0.994951\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.489357 | − | 1.50609i | 0.0179770 | − | 0.0553274i | ||||
\(742\) | 2.04087 | − | 2.80902i | 0.0749227 | − | 0.103122i | ||||
\(743\) | − | 28.3607i | − | 1.04045i | −0.854029 | − | 0.520226i | \(-0.825848\pi\) | ||
0.854029 | − | 0.520226i | \(-0.174152\pi\) | |||||||
\(744\) | −5.42705 | − | 3.94298i | −0.198965 | − | 0.144557i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −37.0066 | + | 26.8869i | −1.35491 | + | 0.984398i | ||||
\(747\) | −7.33094 | − | 10.0902i | −0.268225 | − | 0.369180i | ||||
\(748\) | 16.1150 | − | 5.23607i | 0.589221 | − | 0.191450i | ||||
\(749\) | 10.1459 | 0.370723 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −5.11146 | −0.186520 | −0.0932598 | − | 0.995642i | \(-0.529729\pi\) | ||||
−0.0932598 | + | 0.995642i | \(0.529729\pi\) | |||||||
\(752\) | 2.85317 | − | 0.927051i | 0.104044 | − | 0.0338061i | ||||
\(753\) | −17.1518 | − | 23.6074i | −0.625045 | − | 0.860301i | ||||
\(754\) | 8.78115 | − | 6.37988i | 0.319791 | − | 0.232342i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 1.54508 | + | 1.12257i | 0.0561942 | + | 0.0408275i | ||||
\(757\) | 30.4164i | 1.10550i | 0.833346 | + | 0.552752i | \(0.186422\pi\) | ||||
−0.833346 | + | 0.552752i | \(0.813578\pi\) | |||||||
\(758\) | 13.8823 | − | 19.1074i | 0.504229 | − | 0.694012i | ||||
\(759\) | 6.09017 | − | 18.7436i | 0.221059 | − | 0.680350i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −5.70163 | − | 17.5478i | −0.206684 | − | 0.636107i | −0.999640 | − | 0.0268287i | \(-0.991459\pi\) |
0.792956 | − | 0.609279i | \(-0.208541\pi\) | |||||||
\(762\) | −30.6053 | − | 9.94427i | −1.10871 | − | 0.360243i | ||||
\(763\) | −5.87785 | − | 1.90983i | −0.212793 | − | 0.0691405i | ||||
\(764\) | 0.347524 | + | 1.06957i | 0.0125730 | + | 0.0386957i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −16.6803 | + | 51.3368i | −0.602685 | + | 1.85487i | ||||
\(767\) | −11.8290 | + | 16.2812i | −0.427119 | + | 0.587878i | ||||
\(768\) | − | 13.5623i | − | 0.489388i | ||||||
\(769\) | 10.8541 | + | 7.88597i | 0.391409 | + | 0.284375i | 0.766033 | − | 0.642802i | \(-0.222228\pi\) |
−0.374624 | + | 0.927177i | \(0.622228\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −18.4894 | + | 13.4333i | −0.665878 | + | 0.483789i | ||||
\(772\) | −2.80017 | − | 3.85410i | −0.100780 | − | 0.138712i | ||||
\(773\) | −34.3893 | + | 11.1738i | −1.23690 | + | 0.401892i | −0.853208 | − | 0.521570i | \(-0.825346\pi\) |
−0.383689 | + | 0.923462i | \(0.625346\pi\) | |||||||
\(774\) | 15.7082 | 0.564620 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −8.61803 | −0.309369 | ||||||||
\(777\) | 0.138757 | − | 0.0450850i | 0.00497789 | − | 0.00161741i | ||||
\(778\) | −14.2658 | − | 19.6353i | −0.511455 | − | 0.703958i | ||||
\(779\) | −0.527864 | + | 0.383516i | −0.0189127 | + | 0.0137409i | ||||
\(780\) | 0 | 0 |