Properties

Label 403.2.l.c.25.2
Level 403
Weight 2
Character 403.25
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM No

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.l (of order \(6\) and degree \(2\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(68\)
Relative dimension: \(34\) over \(\Q(\zeta_{6})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 25.2
Character \(\chi\) = 403.25
Dual form 403.2.l.c.129.33

$q$-expansion

\(f(q)\) \(=\) \(q-2.59015i q^{2} +(0.881022 + 1.52597i) q^{3} -4.70886 q^{4} +(-1.89705 - 1.09526i) q^{5} +(3.95250 - 2.28198i) q^{6} +(3.93715 - 2.27311i) q^{7} +7.01635i q^{8} +(-0.0523990 + 0.0907577i) q^{9} +O(q^{10})\) \(q-2.59015i q^{2} +(0.881022 + 1.52597i) q^{3} -4.70886 q^{4} +(-1.89705 - 1.09526i) q^{5} +(3.95250 - 2.28198i) q^{6} +(3.93715 - 2.27311i) q^{7} +7.01635i q^{8} +(-0.0523990 + 0.0907577i) q^{9} +(-2.83688 + 4.91363i) q^{10} +(-1.50994 - 0.871764i) q^{11} +(-4.14861 - 7.18560i) q^{12} +(-2.16097 - 2.88621i) q^{13} +(-5.88770 - 10.1978i) q^{14} -3.85979i q^{15} +8.75565 q^{16} +(-0.732809 - 1.26926i) q^{17} +(0.235076 + 0.135721i) q^{18} +(-1.45805 + 0.841805i) q^{19} +(8.93293 + 5.15743i) q^{20} +(6.93743 + 4.00533i) q^{21} +(-2.25800 + 3.91097i) q^{22} -4.43950 q^{23} +(-10.7068 + 6.18155i) q^{24} +(-0.100811 - 0.174609i) q^{25} +(-7.47570 + 5.59724i) q^{26} +5.10147 q^{27} +(-18.5395 + 10.7038i) q^{28} +2.97762 q^{29} -9.99743 q^{30} +(-5.06790 - 2.30574i) q^{31} -8.64572i q^{32} -3.07217i q^{33} +(-3.28758 + 1.89808i) q^{34} -9.95861 q^{35} +(0.246740 - 0.427365i) q^{36} +(6.89567 - 3.98122i) q^{37} +(2.18040 + 3.77656i) q^{38} +(2.50041 - 5.84040i) q^{39} +(7.68472 - 13.3103i) q^{40} +(5.50738 + 3.17969i) q^{41} +(10.3744 - 17.9690i) q^{42} +(4.48900 + 7.77517i) q^{43} +(7.11010 + 4.10502i) q^{44} +(0.198807 - 0.114781i) q^{45} +11.4989i q^{46} -7.02370i q^{47} +(7.71392 + 13.3609i) q^{48} +(6.83410 - 11.8370i) q^{49} +(-0.452263 + 0.261114i) q^{50} +(1.29124 - 2.23650i) q^{51} +(10.1757 + 13.5907i) q^{52} +(1.46987 - 2.54590i) q^{53} -13.2136i q^{54} +(1.90962 + 3.30755i) q^{55} +(15.9490 + 27.6244i) q^{56} +(-2.56915 - 1.48330i) q^{57} -7.71249i q^{58} +(-6.92760 + 3.99965i) q^{59} +18.1752i q^{60} +6.05747 q^{61} +(-5.97219 + 13.1266i) q^{62} +0.476436i q^{63} -4.88238 q^{64} +(0.938320 + 7.84210i) q^{65} -7.95738 q^{66} +(10.3970 + 6.00272i) q^{67} +(3.45070 + 5.97678i) q^{68} +(-3.91129 - 6.77456i) q^{69} +25.7943i q^{70} +(-12.4845 - 7.20791i) q^{71} +(-0.636788 - 0.367649i) q^{72} +(11.8038 + 6.81492i) q^{73} +(-10.3119 - 17.8608i) q^{74} +(0.177633 - 0.307669i) q^{75} +(6.86575 - 3.96394i) q^{76} -7.92648 q^{77} +(-15.1275 - 6.47644i) q^{78} +(6.01231 + 10.4136i) q^{79} +(-16.6099 - 9.58971i) q^{80} +(4.65171 + 8.05699i) q^{81} +(8.23586 - 14.2649i) q^{82} +(10.9426 + 6.31772i) q^{83} +(-32.6674 - 18.8605i) q^{84} +3.21047i q^{85} +(20.1388 - 11.6272i) q^{86} +(2.62335 + 4.54378i) q^{87} +(6.11660 - 10.5943i) q^{88} -3.18946i q^{89} +(-0.297300 - 0.514938i) q^{90} +(-15.0688 - 6.45129i) q^{91} +20.9050 q^{92} +(-0.946434 - 9.76489i) q^{93} -18.1924 q^{94} +3.68798 q^{95} +(13.1931 - 7.61706i) q^{96} -7.44723i q^{97} +(-30.6596 - 17.7013i) q^{98} +(0.158239 - 0.0913591i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + O(q^{10}) \) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + 8q^{10} - 10q^{12} - 3q^{13} + 10q^{14} + 84q^{16} + 6q^{17} + 4q^{22} - 44q^{23} + 30q^{25} - 3q^{26} - 12q^{27} + 48q^{29} - 4q^{30} - 48q^{35} + 40q^{36} + 60q^{38} - 14q^{39} + 20q^{40} - 10q^{42} - 12q^{43} + 32q^{48} + 58q^{49} + 20q^{51} - 27q^{52} + 8q^{53} - 36q^{55} - 50q^{56} - 12q^{61} - 74q^{62} - 15q^{65} + 164q^{66} + 4q^{68} - 34q^{69} - 4q^{74} + 20q^{75} - 200q^{77} - 58q^{78} - 80q^{79} - 82q^{81} - 66q^{82} + 52q^{87} + 16q^{88} - 14q^{90} - 70q^{91} + 108q^{92} - 4q^{94} + 76q^{95} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.59015i 1.83151i −0.401737 0.915755i \(-0.631593\pi\)
0.401737 0.915755i \(-0.368407\pi\)
\(3\) 0.881022 + 1.52597i 0.508658 + 0.881022i 0.999950 + 0.0100267i \(0.00319164\pi\)
−0.491292 + 0.870995i \(0.663475\pi\)
\(4\) −4.70886 −2.35443
\(5\) −1.89705 1.09526i −0.848385 0.489815i 0.0117207 0.999931i \(-0.496269\pi\)
−0.860106 + 0.510116i \(0.829602\pi\)
\(6\) 3.95250 2.28198i 1.61360 0.931613i
\(7\) 3.93715 2.27311i 1.48810 0.859157i 0.488195 0.872735i \(-0.337655\pi\)
0.999908 + 0.0135779i \(0.00432212\pi\)
\(8\) 7.01635i 2.48065i
\(9\) −0.0523990 + 0.0907577i −0.0174663 + 0.0302526i
\(10\) −2.83688 + 4.91363i −0.897102 + 1.55383i
\(11\) −1.50994 0.871764i −0.455264 0.262847i 0.254787 0.966997i \(-0.417995\pi\)
−0.710051 + 0.704150i \(0.751328\pi\)
\(12\) −4.14861 7.18560i −1.19760 2.07430i
\(13\) −2.16097 2.88621i −0.599346 0.800490i
\(14\) −5.88770 10.1978i −1.57355 2.72548i
\(15\) 3.85979i 0.996594i
\(16\) 8.75565 2.18891
\(17\) −0.732809 1.26926i −0.177732 0.307841i 0.763371 0.645960i \(-0.223543\pi\)
−0.941103 + 0.338119i \(0.890209\pi\)
\(18\) 0.235076 + 0.135721i 0.0554079 + 0.0319898i
\(19\) −1.45805 + 0.841805i −0.334499 + 0.193123i −0.657837 0.753160i \(-0.728528\pi\)
0.323338 + 0.946284i \(0.395195\pi\)
\(20\) 8.93293 + 5.15743i 1.99746 + 1.15324i
\(21\) 6.93743 + 4.00533i 1.51387 + 0.874034i
\(22\) −2.25800 + 3.91097i −0.481407 + 0.833821i
\(23\) −4.43950 −0.925699 −0.462850 0.886437i \(-0.653173\pi\)
−0.462850 + 0.886437i \(0.653173\pi\)
\(24\) −10.7068 + 6.18155i −2.18551 + 1.26180i
\(25\) −0.100811 0.174609i −0.0201621 0.0349218i
\(26\) −7.47570 + 5.59724i −1.46611 + 1.09771i
\(27\) 5.10147 0.981779
\(28\) −18.5395 + 10.7038i −3.50363 + 2.02282i
\(29\) 2.97762 0.552931 0.276466 0.961024i \(-0.410837\pi\)
0.276466 + 0.961024i \(0.410837\pi\)
\(30\) −9.99743 −1.82527
\(31\) −5.06790 2.30574i −0.910221 0.414122i
\(32\) 8.64572i 1.52836i
\(33\) 3.07217i 0.534797i
\(34\) −3.28758 + 1.89808i −0.563815 + 0.325519i
\(35\) −9.95861 −1.68331
\(36\) 0.246740 0.427365i 0.0411233 0.0712276i
\(37\) 6.89567 3.98122i 1.13364 0.654508i 0.188793 0.982017i \(-0.439542\pi\)
0.944848 + 0.327509i \(0.106209\pi\)
\(38\) 2.18040 + 3.77656i 0.353707 + 0.612639i
\(39\) 2.50041 5.84040i 0.400387 0.935213i
\(40\) 7.68472 13.3103i 1.21506 2.10455i
\(41\) 5.50738 + 3.17969i 0.860108 + 0.496584i 0.864049 0.503408i \(-0.167921\pi\)
−0.00394025 + 0.999992i \(0.501254\pi\)
\(42\) 10.3744 17.9690i 1.60080 2.77267i
\(43\) 4.48900 + 7.77517i 0.684566 + 1.18570i 0.973573 + 0.228375i \(0.0733414\pi\)
−0.289008 + 0.957327i \(0.593325\pi\)
\(44\) 7.11010 + 4.10502i 1.07189 + 0.618854i
\(45\) 0.198807 0.114781i 0.0296363 0.0171105i
\(46\) 11.4989i 1.69543i
\(47\) 7.02370i 1.02451i −0.858833 0.512256i \(-0.828810\pi\)
0.858833 0.512256i \(-0.171190\pi\)
\(48\) 7.71392 + 13.3609i 1.11341 + 1.92848i
\(49\) 6.83410 11.8370i 0.976300 1.69100i
\(50\) −0.452263 + 0.261114i −0.0639596 + 0.0369271i
\(51\) 1.29124 2.23650i 0.180810 0.313172i
\(52\) 10.1757 + 13.5907i 1.41112 + 1.88470i
\(53\) 1.46987 2.54590i 0.201903 0.349706i −0.747239 0.664556i \(-0.768621\pi\)
0.949142 + 0.314850i \(0.101954\pi\)
\(54\) 13.2136i 1.79814i
\(55\) 1.90962 + 3.30755i 0.257493 + 0.445990i
\(56\) 15.9490 + 27.6244i 2.13127 + 3.69147i
\(57\) −2.56915 1.48330i −0.340292 0.196468i
\(58\) 7.71249i 1.01270i
\(59\) −6.92760 + 3.99965i −0.901897 + 0.520710i −0.877815 0.479000i \(-0.840999\pi\)
−0.0240816 + 0.999710i \(0.507666\pi\)
\(60\) 18.1752i 2.34641i
\(61\) 6.05747 0.775579 0.387790 0.921748i \(-0.373239\pi\)
0.387790 + 0.921748i \(0.373239\pi\)
\(62\) −5.97219 + 13.1266i −0.758469 + 1.66708i
\(63\) 0.476436i 0.0600253i
\(64\) −4.88238 −0.610298
\(65\) 0.938320 + 7.84210i 0.116384 + 0.972692i
\(66\) −7.95738 −0.979486
\(67\) 10.3970 + 6.00272i 1.27020 + 0.733349i 0.975025 0.222095i \(-0.0712895\pi\)
0.295173 + 0.955444i \(0.404623\pi\)
\(68\) 3.45070 + 5.97678i 0.418458 + 0.724791i
\(69\) −3.91129 6.77456i −0.470864 0.815561i
\(70\) 25.7943i 3.08300i
\(71\) −12.4845 7.20791i −1.48163 0.855421i −0.481850 0.876253i \(-0.660035\pi\)
−0.999783 + 0.0208320i \(0.993368\pi\)
\(72\) −0.636788 0.367649i −0.0750461 0.0433279i
\(73\) 11.8038 + 6.81492i 1.38153 + 0.797626i 0.992341 0.123532i \(-0.0394223\pi\)
0.389188 + 0.921158i \(0.372756\pi\)
\(74\) −10.3119 17.8608i −1.19874 2.07628i
\(75\) 0.177633 0.307669i 0.0205112 0.0355265i
\(76\) 6.86575 3.96394i 0.787556 0.454695i
\(77\) −7.92648 −0.903306
\(78\) −15.1275 6.47644i −1.71285 0.733312i
\(79\) 6.01231 + 10.4136i 0.676438 + 1.17163i 0.976046 + 0.217563i \(0.0698108\pi\)
−0.299608 + 0.954062i \(0.596856\pi\)
\(80\) −16.6099 9.58971i −1.85704 1.07216i
\(81\) 4.65171 + 8.05699i 0.516856 + 0.895221i
\(82\) 8.23586 14.2649i 0.909498 1.57530i
\(83\) 10.9426 + 6.31772i 1.20111 + 0.693460i 0.960802 0.277237i \(-0.0894187\pi\)
0.240306 + 0.970697i \(0.422752\pi\)
\(84\) −32.6674 18.8605i −3.56430 2.05785i
\(85\) 3.21047i 0.348224i
\(86\) 20.1388 11.6272i 2.17163 1.25379i
\(87\) 2.62335 + 4.54378i 0.281253 + 0.487144i
\(88\) 6.11660 10.5943i 0.652032 1.12935i
\(89\) 3.18946i 0.338082i −0.985609 0.169041i \(-0.945933\pi\)
0.985609 0.169041i \(-0.0540670\pi\)
\(90\) −0.297300 0.514938i −0.0313381 0.0542793i
\(91\) −15.0688 6.45129i −1.57964 0.676279i
\(92\) 20.9050 2.17949
\(93\) −0.946434 9.76489i −0.0981406 1.01257i
\(94\) −18.1924 −1.87640
\(95\) 3.68798 0.378379
\(96\) 13.1931 7.61706i 1.34652 0.777413i
\(97\) 7.44723i 0.756152i −0.925775 0.378076i \(-0.876586\pi\)
0.925775 0.378076i \(-0.123414\pi\)
\(98\) −30.6596 17.7013i −3.09709 1.78810i
\(99\) 0.158239 0.0913591i 0.0159036 0.00918194i
\(100\) 0.474703 + 0.822209i 0.0474703 + 0.0822209i
\(101\) −2.45481 −0.244263 −0.122131 0.992514i \(-0.538973\pi\)
−0.122131 + 0.992514i \(0.538973\pi\)
\(102\) −5.79285 3.34451i −0.573578 0.331155i
\(103\) −1.23115 + 2.13241i −0.121308 + 0.210112i −0.920284 0.391251i \(-0.872042\pi\)
0.798976 + 0.601364i \(0.205376\pi\)
\(104\) 20.2506 15.1621i 1.98574 1.48677i
\(105\) −8.77375 15.1966i −0.856230 1.48303i
\(106\) −6.59425 3.80719i −0.640490 0.369787i
\(107\) 4.14305 + 7.17598i 0.400524 + 0.693728i 0.993789 0.111279i \(-0.0354948\pi\)
−0.593265 + 0.805007i \(0.702161\pi\)
\(108\) −24.0221 −2.31153
\(109\) 9.15641i 0.877025i 0.898725 + 0.438513i \(0.144495\pi\)
−0.898725 + 0.438513i \(0.855505\pi\)
\(110\) 8.56705 4.94619i 0.816836 0.471601i
\(111\) 12.1505 + 7.01508i 1.15327 + 0.665842i
\(112\) 34.4723 19.9026i 3.25733 1.88062i
\(113\) −3.80250 + 6.58612i −0.357709 + 0.619570i −0.987578 0.157132i \(-0.949775\pi\)
0.629869 + 0.776701i \(0.283109\pi\)
\(114\) −3.84196 + 6.65447i −0.359832 + 0.623248i
\(115\) 8.42193 + 4.86240i 0.785349 + 0.453422i
\(116\) −14.0212 −1.30184
\(117\) 0.375178 0.0448907i 0.0346853 0.00415015i
\(118\) 10.3597 + 17.9435i 0.953686 + 1.65183i
\(119\) −5.77036 3.33152i −0.528968 0.305400i
\(120\) 27.0816 2.47220
\(121\) −3.98005 6.89366i −0.361823 0.626696i
\(122\) 15.6897i 1.42048i
\(123\) 11.2055i 1.01037i
\(124\) 23.8640 + 10.8574i 2.14305 + 0.975022i
\(125\) 11.3943i 1.01913i
\(126\) 1.23404 0.109937
\(127\) −5.34563 9.25890i −0.474348 0.821595i 0.525221 0.850966i \(-0.323983\pi\)
−0.999569 + 0.0293714i \(0.990649\pi\)
\(128\) 4.64535i 0.410595i
\(129\) −7.90981 + 13.7002i −0.696420 + 1.20623i
\(130\) 20.3122 2.43039i 1.78150 0.213159i
\(131\) −7.09360 12.2865i −0.619771 1.07347i −0.989527 0.144346i \(-0.953892\pi\)
0.369756 0.929129i \(-0.379441\pi\)
\(132\) 14.4664i 1.25914i
\(133\) −3.82704 + 6.62863i −0.331846 + 0.574775i
\(134\) 15.5479 26.9298i 1.34314 2.32638i
\(135\) −9.67773 5.58744i −0.832926 0.480890i
\(136\) 8.90559 5.14164i 0.763648 0.440892i
\(137\) −15.1991 8.77519i −1.29854 0.749715i −0.318391 0.947959i \(-0.603143\pi\)
−0.980153 + 0.198245i \(0.936476\pi\)
\(138\) −17.5471 + 10.1308i −1.49371 + 0.862393i
\(139\) 7.08804 0.601200 0.300600 0.953750i \(-0.402813\pi\)
0.300600 + 0.953750i \(0.402813\pi\)
\(140\) 46.8937 3.96324
\(141\) 10.7180 6.18803i 0.902617 0.521126i
\(142\) −18.6695 + 32.3366i −1.56671 + 2.71363i
\(143\) 0.746849 + 6.24186i 0.0624546 + 0.521970i
\(144\) −0.458787 + 0.794642i −0.0382323 + 0.0662202i
\(145\) −5.64869 3.26127i −0.469098 0.270834i
\(146\) 17.6516 30.5735i 1.46086 2.53028i
\(147\) 24.0840 1.98641
\(148\) −32.4707 + 18.7470i −2.66908 + 1.54099i
\(149\) −7.76110 + 4.48087i −0.635814 + 0.367087i −0.783000 0.622022i \(-0.786312\pi\)
0.147186 + 0.989109i \(0.452978\pi\)
\(150\) −0.796907 0.460095i −0.0650672 0.0375666i
\(151\) 8.79057i 0.715367i 0.933843 + 0.357683i \(0.116433\pi\)
−0.933843 + 0.357683i \(0.883567\pi\)
\(152\) −5.90640 10.2302i −0.479072 0.829777i
\(153\) 0.153594 0.0124173
\(154\) 20.5307i 1.65441i
\(155\) 7.08865 + 9.92475i 0.569374 + 0.797175i
\(156\) −11.7741 + 27.5016i −0.942682 + 2.20189i
\(157\) 21.9282 1.75006 0.875031 0.484067i \(-0.160841\pi\)
0.875031 + 0.484067i \(0.160841\pi\)
\(158\) 26.9728 15.5728i 2.14584 1.23890i
\(159\) 5.17997 0.410798
\(160\) −9.46931 + 16.4013i −0.748615 + 1.29664i
\(161\) −17.4790 + 10.0915i −1.37754 + 0.795321i
\(162\) 20.8688 12.0486i 1.63961 0.946627i
\(163\) 4.34158i 0.340059i 0.985439 + 0.170029i \(0.0543863\pi\)
−0.985439 + 0.170029i \(0.945614\pi\)
\(164\) −25.9335 14.9727i −2.02507 1.16917i
\(165\) −3.36483 + 5.82805i −0.261952 + 0.453713i
\(166\) 16.3638 28.3430i 1.27008 2.19984i
\(167\) −1.58798 + 0.916823i −0.122882 + 0.0709459i −0.560181 0.828370i \(-0.689268\pi\)
0.437299 + 0.899316i \(0.355935\pi\)
\(168\) −28.1028 + 48.6754i −2.16818 + 3.75539i
\(169\) −3.66038 + 12.4740i −0.281568 + 0.959541i
\(170\) 8.31558 0.637776
\(171\) 0.176439i 0.0134926i
\(172\) −21.1381 36.6122i −1.61176 2.79165i
\(173\) 7.67050 13.2857i 0.583177 1.01009i −0.411923 0.911219i \(-0.635143\pi\)
0.995100 0.0988739i \(-0.0315240\pi\)
\(174\) 11.7691 6.79487i 0.892210 0.515118i
\(175\) −0.793813 0.458308i −0.0600066 0.0346448i
\(176\) −13.2205 7.63286i −0.996533 0.575348i
\(177\) −12.2067 7.04756i −0.917514 0.529727i
\(178\) −8.26117 −0.619201
\(179\) 0.650492 + 1.12669i 0.0486201 + 0.0842124i 0.889311 0.457302i \(-0.151184\pi\)
−0.840691 + 0.541515i \(0.817851\pi\)
\(180\) −0.936153 + 0.540488i −0.0697767 + 0.0402856i
\(181\) 9.14512 15.8398i 0.679751 1.17736i −0.295304 0.955403i \(-0.595421\pi\)
0.975056 0.221961i \(-0.0712456\pi\)
\(182\) −16.7098 + 39.0303i −1.23861 + 2.89312i
\(183\) 5.33676 + 9.24354i 0.394505 + 0.683302i
\(184\) 31.1491i 2.29634i
\(185\) −17.4419 −1.28235
\(186\) −25.2925 + 2.45140i −1.85454 + 0.179746i
\(187\) 2.55535i 0.186865i
\(188\) 33.0736i 2.41214i
\(189\) 20.0853 11.5962i 1.46099 0.843502i
\(190\) 9.55242i 0.693005i
\(191\) −9.38881 + 16.2619i −0.679350 + 1.17667i 0.295826 + 0.955242i \(0.404405\pi\)
−0.975177 + 0.221428i \(0.928928\pi\)
\(192\) −4.30148 7.45039i −0.310433 0.537686i
\(193\) −19.8083 + 11.4363i −1.42583 + 0.823206i −0.996789 0.0800766i \(-0.974484\pi\)
−0.429046 + 0.903283i \(0.641150\pi\)
\(194\) −19.2894 −1.38490
\(195\) −11.1402 + 8.34091i −0.797763 + 0.597305i
\(196\) −32.1808 + 55.7388i −2.29863 + 3.98135i
\(197\) −6.29379 3.63372i −0.448414 0.258892i 0.258746 0.965945i \(-0.416691\pi\)
−0.707160 + 0.707054i \(0.750024\pi\)
\(198\) −0.236634 0.409861i −0.0168168 0.0291276i
\(199\) 8.91300 15.4378i 0.631826 1.09435i −0.355353 0.934732i \(-0.615639\pi\)
0.987178 0.159622i \(-0.0510275\pi\)
\(200\) 1.22512 0.707322i 0.0866289 0.0500152i
\(201\) 21.1541i 1.49210i
\(202\) 6.35831i 0.447369i
\(203\) 11.7234 6.76848i 0.822818 0.475054i
\(204\) −6.08028 + 10.5313i −0.425705 + 0.737342i
\(205\) −6.96517 12.0640i −0.486469 0.842588i
\(206\) 5.52324 + 3.18885i 0.384823 + 0.222177i
\(207\) 0.232625 0.402919i 0.0161686 0.0280048i
\(208\) −18.9207 25.2706i −1.31192 1.75220i
\(209\) 2.93542 0.203047
\(210\) −39.3614 + 22.7253i −2.71619 + 1.56819i
\(211\) −3.44871 5.97335i −0.237419 0.411222i 0.722554 0.691315i \(-0.242968\pi\)
−0.959973 + 0.280093i \(0.909635\pi\)
\(212\) −6.92144 + 11.9883i −0.475366 + 0.823358i
\(213\) 25.4013i 1.74047i
\(214\) 18.5868 10.7311i 1.27057 0.733564i
\(215\) 19.6665i 1.34124i
\(216\) 35.7937i 2.43545i
\(217\) −25.1943 + 2.44188i −1.71030 + 0.165766i
\(218\) 23.7165 1.60628
\(219\) 24.0164i 1.62288i
\(220\) −8.99212 15.5748i −0.606249 1.05005i
\(221\) −2.07977 + 4.85788i −0.139901 + 0.326777i
\(222\) 18.1701 31.4715i 1.21950 2.11223i
\(223\) −6.79133 + 3.92098i −0.454781 + 0.262568i −0.709847 0.704356i \(-0.751236\pi\)
0.255066 + 0.966924i \(0.417903\pi\)
\(224\) −19.6527 34.0395i −1.31310 2.27436i
\(225\) 0.0211295 0.00140863
\(226\) 17.0590 + 9.84902i 1.13475 + 0.655147i
\(227\) 12.5407 + 7.24037i 0.832355 + 0.480561i 0.854658 0.519191i \(-0.173767\pi\)
−0.0223032 + 0.999751i \(0.507100\pi\)
\(228\) 12.0978 + 6.98464i 0.801193 + 0.462569i
\(229\) −6.42151 + 3.70746i −0.424345 + 0.244996i −0.696935 0.717135i \(-0.745453\pi\)
0.272589 + 0.962130i \(0.412120\pi\)
\(230\) 12.5943 21.8140i 0.830446 1.43838i
\(231\) −6.98340 12.0956i −0.459474 0.795832i
\(232\) 20.8920i 1.37163i
\(233\) 19.6375 1.28650 0.643249 0.765657i \(-0.277586\pi\)
0.643249 + 0.765657i \(0.277586\pi\)
\(234\) −0.116274 0.971767i −0.00760104 0.0635264i
\(235\) −7.69277 + 13.3243i −0.501821 + 0.869180i
\(236\) 32.6211 18.8338i 2.12345 1.22598i
\(237\) −10.5940 + 18.3493i −0.688152 + 1.19191i
\(238\) −8.62912 + 14.9461i −0.559343 + 0.968810i
\(239\) 23.7884 + 13.7343i 1.53875 + 0.888395i 0.998913 + 0.0466230i \(0.0148459\pi\)
0.539833 + 0.841772i \(0.318487\pi\)
\(240\) 33.7950i 2.18146i
\(241\) 5.77512 3.33427i 0.372008 0.214779i −0.302327 0.953204i \(-0.597764\pi\)
0.674335 + 0.738425i \(0.264430\pi\)
\(242\) −17.8556 + 10.3089i −1.14780 + 0.662683i
\(243\) −0.544300 + 0.942755i −0.0349169 + 0.0604778i
\(244\) −28.5238 −1.82605
\(245\) −25.9292 + 14.9702i −1.65656 + 0.956413i
\(246\) 29.0239 1.85050
\(247\) 5.58043 + 2.38911i 0.355074 + 0.152016i
\(248\) 16.1778 35.5581i 1.02729 2.25794i
\(249\) 22.2642i 1.41094i
\(250\) 29.5128 1.86655
\(251\) 7.63216 + 13.2193i 0.481737 + 0.834394i 0.999780 0.0209610i \(-0.00667258\pi\)
−0.518043 + 0.855355i \(0.673339\pi\)
\(252\) 2.24347i 0.141325i
\(253\) 6.70337 + 3.87019i 0.421437 + 0.243317i
\(254\) −23.9819 + 13.8460i −1.50476 + 0.868773i
\(255\) −4.89909 + 2.82849i −0.306793 + 0.177127i
\(256\) −21.7969 −1.36231
\(257\) −7.06094 + 12.2299i −0.440449 + 0.762881i −0.997723 0.0674485i \(-0.978514\pi\)
0.557273 + 0.830329i \(0.311848\pi\)
\(258\) 35.4855 + 20.4876i 2.20923 + 1.27550i
\(259\) 18.0995 31.3493i 1.12465 1.94795i
\(260\) −4.41842 36.9273i −0.274019 2.29014i
\(261\) −0.156025 + 0.270242i −0.00965768 + 0.0167276i
\(262\) −31.8238 + 18.3735i −1.96608 + 1.13512i
\(263\) −5.52086 −0.340431 −0.170215 0.985407i \(-0.554446\pi\)
−0.170215 + 0.985407i \(0.554446\pi\)
\(264\) 21.5554 1.32664
\(265\) −5.57684 + 3.21979i −0.342583 + 0.197790i
\(266\) 17.1691 + 9.91259i 1.05271 + 0.607780i
\(267\) 4.86703 2.80998i 0.297858 0.171968i
\(268\) −48.9581 28.2660i −2.99059 1.72662i
\(269\) −0.811737 + 1.40597i −0.0494925 + 0.0857235i −0.889710 0.456526i \(-0.849094\pi\)
0.840218 + 0.542249i \(0.182427\pi\)
\(270\) −14.4723 + 25.0667i −0.880755 + 1.52551i
\(271\) 28.8669i 1.75354i −0.480909 0.876771i \(-0.659693\pi\)
0.480909 0.876771i \(-0.340307\pi\)
\(272\) −6.41622 11.1132i −0.389040 0.673838i
\(273\) −3.43140 28.6783i −0.207678 1.73569i
\(274\) −22.7290 + 39.3678i −1.37311 + 2.37830i
\(275\) 0.351532i 0.0211982i
\(276\) 18.4177 + 31.9005i 1.10862 + 1.92018i
\(277\) −6.54509 −0.393256 −0.196628 0.980478i \(-0.562999\pi\)
−0.196628 + 0.980478i \(0.562999\pi\)
\(278\) 18.3591i 1.10110i
\(279\) 0.474816 0.339133i 0.0284265 0.0203033i
\(280\) 69.8730i 4.17571i
\(281\) 23.6958i 1.41357i −0.707427 0.706786i \(-0.750144\pi\)
0.707427 0.706786i \(-0.249856\pi\)
\(282\) −16.0279 27.7611i −0.954448 1.65315i
\(283\) −8.98659 −0.534198 −0.267099 0.963669i \(-0.586065\pi\)
−0.267099 + 0.963669i \(0.586065\pi\)
\(284\) 58.7876 + 33.9410i 3.48840 + 2.01403i
\(285\) 3.24919 + 5.62777i 0.192466 + 0.333360i
\(286\) 16.1673 1.93445i 0.955994 0.114386i
\(287\) 28.9112 1.70657
\(288\) 0.784665 + 0.453027i 0.0462369 + 0.0266949i
\(289\) 7.42598 12.8622i 0.436822 0.756599i
\(290\) −8.44718 + 14.6309i −0.496035 + 0.859158i
\(291\) 11.3643 6.56117i 0.666186 0.384623i
\(292\) −55.5824 32.0905i −3.25271 1.87795i
\(293\) 9.09337 5.25006i 0.531240 0.306712i −0.210281 0.977641i \(-0.567438\pi\)
0.741521 + 0.670929i \(0.234105\pi\)
\(294\) 62.3810i 3.63813i
\(295\) 17.5226 1.02021
\(296\) 27.9336 + 48.3824i 1.62361 + 2.81217i
\(297\) −7.70292 4.44728i −0.446969 0.258057i
\(298\) 11.6061 + 20.1024i 0.672324 + 1.16450i
\(299\) 9.59364 + 12.8133i 0.554814 + 0.741013i
\(300\) −0.836447 + 1.44877i −0.0482923 + 0.0836447i
\(301\) 35.3477 + 20.4080i 2.03741 + 1.17630i
\(302\) 22.7689 1.31020
\(303\) −2.16274 3.74598i −0.124246 0.215201i
\(304\) −12.7662 + 7.37055i −0.732190 + 0.422730i
\(305\) −11.4913 6.63450i −0.657990 0.379891i
\(306\) 0.397831i 0.0227425i
\(307\) −6.00405 + 3.46644i −0.342669 + 0.197840i −0.661452 0.749988i \(-0.730059\pi\)
0.318783 + 0.947828i \(0.396726\pi\)
\(308\) 37.3247 2.12677
\(309\) −4.33866 −0.246818
\(310\) 25.7066 18.3607i 1.46003 1.04282i
\(311\) 13.7329 0.778720 0.389360 0.921086i \(-0.372696\pi\)
0.389360 + 0.921086i \(0.372696\pi\)
\(312\) 40.9783 + 17.5438i 2.31994 + 0.993220i
\(313\) −9.64889 16.7124i −0.545387 0.944639i −0.998582 0.0532272i \(-0.983049\pi\)
0.453195 0.891411i \(-0.350284\pi\)
\(314\) 56.7973i 3.20526i
\(315\) 0.521821 0.903820i 0.0294013 0.0509245i
\(316\) −28.3112 49.0364i −1.59263 2.75851i
\(317\) 18.5058 10.6843i 1.03939 0.600091i 0.119728 0.992807i \(-0.461798\pi\)
0.919660 + 0.392716i \(0.128464\pi\)
\(318\) 13.4169i 0.752381i
\(319\) −4.49603 2.59579i −0.251730 0.145336i
\(320\) 9.26210 + 5.34748i 0.517767 + 0.298933i
\(321\) −7.30024 + 12.6444i −0.407460 + 0.705741i
\(322\) 26.1384 + 45.2731i 1.45664 + 2.52297i
\(323\) 2.13694 + 1.23376i 0.118903 + 0.0686485i
\(324\) −21.9042 37.9392i −1.21690 2.10774i
\(325\) −0.286109 + 0.668286i −0.0158705 + 0.0370698i
\(326\) 11.2453 0.622821
\(327\) −13.9725 + 8.06700i −0.772679 + 0.446106i
\(328\) −22.3098 + 38.6417i −1.23185 + 2.13363i
\(329\) −15.9657 27.6533i −0.880216 1.52458i
\(330\) 15.0955 + 8.71540i 0.830981 + 0.479767i
\(331\) 3.14071 + 1.81329i 0.172629 + 0.0996675i 0.583825 0.811880i \(-0.301555\pi\)
−0.411196 + 0.911547i \(0.634889\pi\)
\(332\) −51.5272 29.7493i −2.82792 1.63270i
\(333\) 0.834447i 0.0457274i
\(334\) 2.37471 + 4.11311i 0.129938 + 0.225060i
\(335\) −13.1491 22.7749i −0.718411 1.24432i
\(336\) 60.7417 + 35.0692i 3.31373 + 1.91318i
\(337\) −14.5826 −0.794364 −0.397182 0.917740i \(-0.630012\pi\)
−0.397182 + 0.917740i \(0.630012\pi\)
\(338\) 32.3096 + 9.48093i 1.75741 + 0.515694i
\(339\) −13.4003 −0.727806
\(340\) 15.1176i 0.819869i
\(341\) 5.64216 + 7.89953i 0.305540 + 0.427784i
\(342\) −0.457003 −0.0247119
\(343\) 30.3152i 1.63687i
\(344\) −54.5533 + 31.4964i −2.94132 + 1.69817i
\(345\) 17.1355i 0.922546i
\(346\) −34.4119 19.8677i −1.85000 1.06810i
\(347\) −2.03901 3.53167i −0.109460 0.189590i 0.806092 0.591790i \(-0.201579\pi\)
−0.915552 + 0.402201i \(0.868245\pi\)
\(348\) −12.3530 21.3960i −0.662190 1.14695i
\(349\) 5.28688i 0.283000i 0.989938 + 0.141500i \(0.0451925\pi\)
−0.989938 + 0.141500i \(0.954807\pi\)
\(350\) −1.18708 + 2.05609i −0.0634524 + 0.109903i
\(351\) −11.0241 14.7239i −0.588426 0.785904i
\(352\) −7.53702 + 13.0545i −0.401725 + 0.695808i
\(353\) −11.8634 + 6.84934i −0.631426 + 0.364554i −0.781304 0.624151i \(-0.785445\pi\)
0.149878 + 0.988704i \(0.452112\pi\)
\(354\) −18.2542 + 31.6172i −0.970201 + 1.68044i
\(355\) 15.7891 + 27.3475i 0.837997 + 1.45145i
\(356\) 15.0187i 0.795990i
\(357\) 11.7406i 0.621376i
\(358\) 2.91828 1.68487i 0.154236 0.0890482i
\(359\) 19.5906 + 11.3107i 1.03395 + 0.596954i 0.918115 0.396314i \(-0.129711\pi\)
0.115839 + 0.993268i \(0.463044\pi\)
\(360\) 0.805344 + 1.39490i 0.0424453 + 0.0735175i
\(361\) −8.08273 + 13.9997i −0.425407 + 0.736826i
\(362\) −41.0274 23.6872i −2.15635 1.24497i
\(363\) 7.01303 12.1469i 0.368089 0.637548i
\(364\) 70.9567 + 30.3782i 3.71914 + 1.59225i
\(365\) −14.9282 25.8564i −0.781379 1.35339i
\(366\) 23.9421 13.8230i 1.25148 0.722540i
\(367\) 14.9561 25.9047i 0.780701 1.35221i −0.150833 0.988559i \(-0.548196\pi\)
0.931534 0.363654i \(-0.118471\pi\)
\(368\) −38.8707 −2.02627
\(369\) −0.577162 + 0.333225i −0.0300459 + 0.0173470i
\(370\) 45.1770i 2.34864i
\(371\) 13.3648i 0.693865i
\(372\) 4.45663 + 45.9815i 0.231065 + 2.38403i
\(373\) −27.6896 −1.43371 −0.716857 0.697220i \(-0.754420\pi\)
−0.716857 + 0.697220i \(0.754420\pi\)
\(374\) 6.61872 0.342246
\(375\) −17.3873 + 10.0386i −0.897879 + 0.518390i
\(376\) 49.2807 2.54146
\(377\) −6.43457 8.59404i −0.331397 0.442616i
\(378\) −30.0359 52.0238i −1.54488 2.67581i
\(379\) −12.7616 + 7.36794i −0.655522 + 0.378466i −0.790569 0.612374i \(-0.790215\pi\)
0.135047 + 0.990839i \(0.456882\pi\)
\(380\) −17.3662 −0.890867
\(381\) 9.41923 16.3146i 0.482562 0.835822i
\(382\) 42.1207 + 24.3184i 2.15508 + 1.24424i
\(383\) −3.94052 2.27506i −0.201351 0.116250i 0.395935 0.918279i \(-0.370421\pi\)
−0.597285 + 0.802029i \(0.703754\pi\)
\(384\) 7.08868 4.09265i 0.361743 0.208852i
\(385\) 15.0369 + 8.68156i 0.766351 + 0.442453i
\(386\) 29.6218 + 51.3065i 1.50771 + 2.61143i
\(387\) −0.940876 −0.0478274
\(388\) 35.0680i 1.78031i
\(389\) 3.55669 + 6.16037i 0.180331 + 0.312343i 0.941993 0.335631i \(-0.108950\pi\)
−0.761662 + 0.647975i \(0.775616\pi\)
\(390\) 21.6042 + 28.8546i 1.09397 + 1.46111i
\(391\) 3.25330 + 5.63489i 0.164527 + 0.284969i
\(392\) 83.0526 + 47.9504i 4.19479 + 2.42186i
\(393\) 12.4992 21.6493i 0.630503 1.09206i
\(394\) −9.41187 + 16.3018i −0.474163 + 0.821274i
\(395\) 26.3402i 1.32532i
\(396\) −0.745124 + 0.430197i −0.0374439 + 0.0216182i
\(397\) −30.1672 + 17.4170i −1.51405 + 0.874135i −0.514182 + 0.857681i \(0.671905\pi\)
−0.999865 + 0.0164545i \(0.994762\pi\)
\(398\) −39.9861 23.0860i −2.00432 1.15720i
\(399\) −13.4868 −0.675186
\(400\) −0.882662 1.52881i −0.0441331 0.0764407i
\(401\) 17.2331i 0.860581i 0.902690 + 0.430291i \(0.141589\pi\)
−0.902690 + 0.430291i \(0.858411\pi\)
\(402\) 54.7922 2.73279
\(403\) 4.29676 + 19.6096i 0.214037 + 0.976826i
\(404\) 11.5594 0.575099
\(405\) 20.3793i 1.01266i
\(406\) −17.5314 30.3652i −0.870067 1.50700i
\(407\) −13.8827 −0.688141
\(408\) 15.6920 + 9.05980i 0.776871 + 0.448527i
\(409\) 17.5694 10.1437i 0.868751 0.501573i 0.00181778 0.999998i \(-0.499421\pi\)
0.866933 + 0.498425i \(0.166088\pi\)
\(410\) −31.2476 + 18.0408i −1.54321 + 0.890972i
\(411\) 30.9245i 1.52539i
\(412\) 5.79729 10.0412i 0.285612 0.494695i
\(413\) −18.1833 + 31.4945i −0.894743 + 1.54974i
\(414\) −1.04362 0.602533i −0.0512910 0.0296129i
\(415\) −13.8391 23.9700i −0.679335 1.17664i
\(416\) −24.9533 + 18.6832i −1.22344 + 0.916018i
\(417\) 6.24472 + 10.8162i 0.305805 + 0.529670i
\(418\) 7.60317i 0.371883i
\(419\) −30.5844 −1.49414 −0.747072 0.664743i \(-0.768541\pi\)
−0.747072 + 0.664743i \(0.768541\pi\)
\(420\) 41.3144 + 71.5586i 2.01593 + 3.49170i
\(421\) −2.97548 1.71790i −0.145016 0.0837251i 0.425736 0.904847i \(-0.360015\pi\)
−0.570753 + 0.821122i \(0.693348\pi\)
\(422\) −15.4718 + 8.93267i −0.753158 + 0.434836i
\(423\) 0.637455 + 0.368035i 0.0309941 + 0.0178945i
\(424\) 17.8629 + 10.3132i 0.867499 + 0.500851i
\(425\) −0.147750 + 0.255910i −0.00716692 + 0.0124135i
\(426\) −65.7931 −3.18769
\(427\) 23.8492 13.7693i 1.15414 0.666344i
\(428\) −19.5091 33.7907i −0.943006 1.63333i
\(429\) −8.86693 + 6.63889i −0.428099 + 0.320528i
\(430\) −50.9391 −2.45650
\(431\) 23.2904 13.4467i 1.12186 0.647707i 0.179986 0.983669i \(-0.442395\pi\)
0.941875 + 0.335962i \(0.109062\pi\)
\(432\) 44.6667 2.14903
\(433\) −21.1938 −1.01851 −0.509254 0.860616i \(-0.670079\pi\)
−0.509254 + 0.860616i \(0.670079\pi\)
\(434\) 6.32484 + 65.2569i 0.303602 + 3.13243i
\(435\) 11.4930i 0.551048i
\(436\) 43.1163i 2.06490i
\(437\) 6.47301 3.73719i 0.309646 0.178774i
\(438\) 62.2059 2.97231
\(439\) −9.21957 + 15.9688i −0.440026 + 0.762148i −0.997691 0.0679186i \(-0.978364\pi\)
0.557665 + 0.830066i \(0.311698\pi\)
\(440\) −23.2069 + 13.3985i −1.10635 + 0.638750i
\(441\) 0.716200 + 1.24049i 0.0341048 + 0.0590712i
\(442\) 12.5826 + 5.38692i 0.598495 + 0.256230i
\(443\) −8.00801 + 13.8703i −0.380472 + 0.658997i −0.991130 0.132898i \(-0.957572\pi\)
0.610658 + 0.791895i \(0.290905\pi\)
\(444\) −57.2149 33.0330i −2.71530 1.56768i
\(445\) −3.49329 + 6.05055i −0.165598 + 0.286824i
\(446\) 10.1559 + 17.5905i 0.480896 + 0.832936i
\(447\) −13.6754 7.89549i −0.646824 0.373444i
\(448\) −19.2227 + 11.0982i −0.908186 + 0.524341i
\(449\) 13.5875i 0.641234i 0.947209 + 0.320617i \(0.103890\pi\)
−0.947209 + 0.320617i \(0.896110\pi\)
\(450\) 0.0547285i 0.00257992i
\(451\) −5.54387 9.60227i −0.261051 0.452153i
\(452\) 17.9054 31.0131i 0.842200 1.45873i
\(453\) −13.4142 + 7.74469i −0.630254 + 0.363877i
\(454\) 18.7536 32.4822i 0.880152 1.52447i
\(455\) 21.5203 + 28.7426i 1.00889 + 1.34747i
\(456\) 10.4073 18.0260i 0.487368 0.844146i
\(457\) 15.3758i 0.719249i 0.933097 + 0.359625i \(0.117095\pi\)
−0.933097 + 0.359625i \(0.882905\pi\)
\(458\) 9.60287 + 16.6327i 0.448713 + 0.777193i
\(459\) −3.73841 6.47511i −0.174494 0.302232i
\(460\) −39.6577 22.8964i −1.84905 1.06755i
\(461\) 3.31441i 0.154367i −0.997017 0.0771837i \(-0.975407\pi\)
0.997017 0.0771837i \(-0.0245928\pi\)
\(462\) −31.3294 + 18.0880i −1.45758 + 0.841532i
\(463\) 32.9450i 1.53108i 0.643386 + 0.765542i \(0.277529\pi\)
−0.643386 + 0.765542i \(0.722471\pi\)
\(464\) 26.0710 1.21032
\(465\) −8.89966 + 19.5610i −0.412712 + 0.907121i
\(466\) 50.8641i 2.35624i
\(467\) −14.4288 −0.667685 −0.333842 0.942629i \(-0.608345\pi\)
−0.333842 + 0.942629i \(0.608345\pi\)
\(468\) −1.76666 + 0.211384i −0.0816640 + 0.00977124i
\(469\) 54.5795 2.52025
\(470\) 34.5118 + 19.9254i 1.59191 + 0.919091i
\(471\) 19.3192 + 33.4619i 0.890184 + 1.54184i
\(472\) −28.0629 48.6064i −1.29170 2.23729i
\(473\) 15.6534i 0.719743i
\(474\) 47.5273 + 27.4399i 2.18300 + 1.26036i
\(475\) 0.293974 + 0.169726i 0.0134884 + 0.00778755i
\(476\) 27.1718 + 15.6877i 1.24542 + 0.719042i
\(477\) 0.154040 + 0.266805i 0.00705300 + 0.0122162i
\(478\) 35.5737 61.6155i 1.62710 2.81823i
\(479\) 16.8660 9.73759i 0.770627 0.444922i −0.0624711 0.998047i \(-0.519898\pi\)
0.833098 + 0.553125i \(0.186565\pi\)
\(480\) −33.3707 −1.52316
\(481\) −26.3920 11.2990i −1.20337 0.515191i
\(482\) −8.63624 14.9584i −0.393370 0.681337i
\(483\) −30.7987 17.7816i −1.40139 0.809093i
\(484\) 18.7415 + 32.4613i 0.851887 + 1.47551i
\(485\) −8.15665 + 14.1277i −0.370375 + 0.641508i
\(486\) 2.44187 + 1.40982i 0.110766 + 0.0639506i
\(487\) −15.0917 8.71322i −0.683872 0.394834i 0.117440 0.993080i \(-0.462531\pi\)
−0.801312 + 0.598246i \(0.795864\pi\)
\(488\) 42.5013i 1.92394i
\(489\) −6.62514 + 3.82503i −0.299599 + 0.172974i
\(490\) 38.7751 + 67.1605i 1.75168 + 3.03400i
\(491\) 4.50521 7.80326i 0.203317 0.352156i −0.746278 0.665634i \(-0.768161\pi\)
0.949595 + 0.313478i \(0.101494\pi\)
\(492\) 52.7651i 2.37884i
\(493\) −2.18203 3.77939i −0.0982737 0.170215i
\(494\) 6.18815 14.4541i 0.278418 0.650322i
\(495\) −0.400248 −0.0179898
\(496\) −44.3727 20.1882i −1.99239 0.906477i
\(497\) −65.5376 −2.93976
\(498\) 57.6676 2.58414
\(499\) −7.09507 + 4.09634i −0.317619 + 0.183377i −0.650331 0.759651i \(-0.725370\pi\)
0.332712 + 0.943029i \(0.392036\pi\)
\(500\) 53.6540i 2.39948i
\(501\) −2.79810 1.61548i −0.125010 0.0721744i
\(502\) 34.2399 19.7684i 1.52820 0.882307i
\(503\) −20.4847 35.4805i −0.913367 1.58200i −0.809275 0.587430i \(-0.800140\pi\)
−0.104092 0.994568i \(-0.533194\pi\)
\(504\) −3.34284 −0.148902
\(505\) 4.65689 + 2.68865i 0.207229 + 0.119644i
\(506\) 10.0244 17.3627i 0.445638 0.771867i
\(507\) −22.2599 + 5.40425i −0.988599 + 0.240011i
\(508\) 25.1718 + 43.5989i 1.11682 + 1.93439i
\(509\) 14.2742 + 8.24122i 0.632693 + 0.365286i 0.781794 0.623536i \(-0.214305\pi\)
−0.149101 + 0.988822i \(0.547638\pi\)
\(510\) 7.32621 + 12.6894i 0.324410 + 0.561894i
\(511\) 61.9644 2.74114
\(512\) 47.1665i 2.08448i
\(513\) −7.43820 + 4.29445i −0.328404 + 0.189604i
\(514\) 31.6773 + 18.2889i 1.39722 + 0.806687i
\(515\) 4.67108 2.69685i 0.205832 0.118837i
\(516\) 37.2462 64.5123i 1.63967 2.83999i
\(517\) −6.12301 + 10.6054i −0.269289 + 0.466423i
\(518\) −81.1993 46.8804i −3.56769 2.05981i
\(519\) 27.0315 1.18655
\(520\) −55.0229 + 6.58358i −2.41291 + 0.288709i
\(521\) 2.34653 + 4.06430i 0.102803 + 0.178060i 0.912839 0.408321i \(-0.133885\pi\)
−0.810035 + 0.586381i \(0.800552\pi\)
\(522\) 0.699968 + 0.404126i 0.0306367 + 0.0176881i
\(523\) 20.0170 0.875284 0.437642 0.899149i \(-0.355814\pi\)
0.437642 + 0.899149i \(0.355814\pi\)
\(524\) 33.4028 + 57.8553i 1.45921 + 2.52742i
\(525\) 1.61512i 0.0704895i
\(526\) 14.2998i 0.623503i
\(527\) 0.787217 + 8.12216i 0.0342917 + 0.353807i
\(528\) 26.8989i 1.17062i
\(529\) −3.29086 −0.143081
\(530\) 8.33973 + 14.4448i 0.362255 + 0.627444i
\(531\) 0.838311i 0.0363796i
\(532\) 18.0210 31.2133i 0.781309 1.35327i
\(533\) −2.72407 22.7667i −0.117993 0.986134i
\(534\) −7.27827 12.6063i −0.314961 0.545529i
\(535\) 18.1509i 0.784731i
\(536\) −42.1172 + 72.9491i −1.81918 + 3.15092i
\(537\) −1.14620 + 1.98527i −0.0494620 + 0.0856707i
\(538\) 3.64167 + 2.10252i 0.157003 + 0.0906460i
\(539\) −20.6382 + 11.9154i −0.888949 + 0.513235i
\(540\) 45.5711 + 26.3105i 1.96107 + 1.13222i
\(541\) −16.9668 + 9.79581i −0.729462 + 0.421155i −0.818225 0.574898i \(-0.805042\pi\)
0.0887635 + 0.996053i \(0.471708\pi\)
\(542\) −74.7696 −3.21163
\(543\) 32.2282 1.38304
\(544\) −10.9737 + 6.33566i −0.470493 + 0.271639i
\(545\) 10.0287 17.3701i 0.429580 0.744055i
\(546\) −74.2809 + 8.88784i −3.17893 + 0.380364i
\(547\) −8.61812 + 14.9270i −0.368484 + 0.638233i −0.989329 0.145700i \(-0.953456\pi\)
0.620845 + 0.783934i \(0.286790\pi\)
\(548\) 71.5703 + 41.3211i 3.05733 + 1.76515i
\(549\) −0.317405 + 0.549762i −0.0135465 + 0.0234633i
\(550\) 0.910520 0.0388247
\(551\) −4.34152 + 2.50658i −0.184955 + 0.106784i
\(552\) 47.5327 27.4430i 2.02312 1.16805i
\(553\) 47.3428 + 27.3334i 2.01322 + 1.16233i
\(554\) 16.9527i 0.720253i
\(555\) −15.3667 26.6159i −0.652279 1.12978i
\(556\) −33.3766 −1.41548
\(557\) 3.45050i 0.146202i 0.997325 + 0.0731012i \(0.0232896\pi\)
−0.997325 + 0.0731012i \(0.976710\pi\)
\(558\) −0.878403 1.22984i −0.0371858 0.0520634i
\(559\) 12.7401 29.7581i 0.538851 1.25863i
\(560\) −87.1940 −3.68462
\(561\) −3.89939 + 2.25132i −0.164633 + 0.0950506i
\(562\) −61.3756 −2.58897
\(563\) −5.75334 + 9.96508i −0.242474 + 0.419978i −0.961419 0.275090i \(-0.911292\pi\)
0.718944 + 0.695068i \(0.244626\pi\)
\(564\) −50.4695 + 29.1386i −2.12515 + 1.22696i
\(565\) 14.4270 8.32944i 0.606949 0.350422i
\(566\) 23.2766i 0.978388i
\(567\) 36.6289 + 21.1477i 1.53827 + 0.888121i
\(568\) 50.5732 87.5953i 2.12200 3.67542i
\(569\) −2.77579 + 4.80781i −0.116367 + 0.201554i −0.918325 0.395826i \(-0.870458\pi\)
0.801958 + 0.597380i \(0.203792\pi\)
\(570\) 14.5767 8.41589i 0.610553 0.352503i
\(571\) 9.15143 15.8507i 0.382976 0.663333i −0.608510 0.793546i \(-0.708233\pi\)
0.991486 + 0.130213i \(0.0415660\pi\)
\(572\) −3.51681 29.3920i −0.147045 1.22894i
\(573\) −33.0870 −1.38223
\(574\) 74.8842i 3.12561i
\(575\) 0.447548 + 0.775176i 0.0186641 + 0.0323271i
\(576\) 0.255832 0.443114i 0.0106597 0.0184631i
\(577\) 22.3108 12.8811i 0.928809 0.536248i 0.0423744 0.999102i \(-0.486508\pi\)
0.886435 + 0.462854i \(0.153174\pi\)
\(578\) −33.3149 19.2344i −1.38572 0.800045i
\(579\) −34.9031 20.1513i −1.45053 0.837461i
\(580\) 26.5989 + 15.3569i 1.10446 + 0.637660i
\(581\) 57.4436 2.38316
\(582\) −16.9944 29.4352i −0.704441 1.22013i
\(583\) −4.43884 + 2.56277i −0.183838 + 0.106139i
\(584\) −47.8158 + 82.8194i −1.97863 + 3.42709i
\(585\) −0.760898 0.325758i −0.0314593 0.0134684i
\(586\) −13.5984 23.5532i −0.561746 0.972972i
\(587\) 15.2901i 0.631090i 0.948911 + 0.315545i \(0.102187\pi\)
−0.948911 + 0.315545i \(0.897813\pi\)
\(588\) −113.408 −4.67687
\(589\) 9.33022 0.904306i 0.384445 0.0372613i
\(590\) 45.3862i 1.86852i
\(591\) 12.8055i 0.526750i
\(592\) 60.3760 34.8581i 2.48144 1.43266i
\(593\) 2.08682i 0.0856953i 0.999082 + 0.0428477i \(0.0136430\pi\)
−0.999082 + 0.0428477i \(0.986357\pi\)
\(594\) −11.5191 + 19.9517i −0.472635 + 0.818627i
\(595\) 7.29776 + 12.6401i 0.299179 + 0.518193i
\(596\) 36.5459 21.0998i 1.49698 0.864281i
\(597\) 31.4102 1.28553
\(598\) 33.1883 24.8489i 1.35717 1.01615i
\(599\) −8.75223 + 15.1593i −0.357606 + 0.619393i −0.987560 0.157240i \(-0.949740\pi\)
0.629954 + 0.776632i \(0.283074\pi\)
\(600\) 2.15871 + 1.24633i 0.0881290 + 0.0508813i
\(601\) −6.86897 11.8974i −0.280191 0.485305i 0.691240 0.722625i \(-0.257065\pi\)
−0.971432 + 0.237319i \(0.923731\pi\)
\(602\) 52.8597 91.5557i 2.15440 3.73153i
\(603\) −1.08959 + 0.629073i −0.0443714 + 0.0256178i
\(604\) 41.3936i 1.68428i
\(605\) 17.4368i 0.708906i
\(606\) −9.70263 + 5.60181i −0.394142 + 0.227558i
\(607\) −22.0547 + 38.1999i −0.895174 + 1.55049i −0.0615849 + 0.998102i \(0.519616\pi\)
−0.833589 + 0.552385i \(0.813718\pi\)
\(608\) 7.27801 + 12.6059i 0.295162 + 0.511236i
\(609\) 20.6571 + 11.9264i 0.837067 + 0.483281i
\(610\) −17.1843 + 29.7642i −0.695774 + 1.20512i
\(611\) −20.2718 + 15.1780i −0.820111 + 0.614037i
\(612\) −0.723252 −0.0292357
\(613\) 9.47640 5.47120i 0.382748 0.220980i −0.296265 0.955106i \(-0.595741\pi\)
0.679013 + 0.734126i \(0.262408\pi\)
\(614\) 8.97858 + 15.5514i 0.362346 + 0.627602i
\(615\) 12.2729 21.2573i 0.494892 0.857179i
\(616\) 55.6149i 2.24079i
\(617\) 5.91770 3.41659i 0.238238 0.137547i −0.376129 0.926567i \(-0.622745\pi\)
0.614366 + 0.789021i \(0.289412\pi\)
\(618\) 11.2378i 0.452050i
\(619\) 12.1149i 0.486939i 0.969909 + 0.243469i \(0.0782855\pi\)
−0.969909 + 0.243469i \(0.921714\pi\)
\(620\) −33.3795 46.7343i −1.34055 1.87689i
\(621\) −22.6480 −0.908832
\(622\) 35.5701i 1.42623i
\(623\) −7.25001 12.5574i −0.290465 0.503101i
\(624\) 21.8927 51.1365i 0.876411 2.04710i
\(625\) 11.9756 20.7424i 0.479025 0.829695i
\(626\) −43.2875 + 24.9920i −1.73012 + 0.998883i
\(627\) 2.58617 + 4.47938i 0.103282 + 0.178889i
\(628\) −103.257 −4.12040
\(629\) −10.1064 5.83494i −0.402969 0.232654i
\(630\) −2.34103 1.35159i −0.0932688 0.0538488i
\(631\) 14.3964 + 8.31178i 0.573112 + 0.330887i 0.758391 0.651799i \(-0.225986\pi\)
−0.185279 + 0.982686i \(0.559319\pi\)
\(632\) −73.0657 + 42.1845i −2.90640 + 1.67801i
\(633\) 6.07678 10.5253i 0.241530 0.418343i
\(634\) −27.6739 47.9327i −1.09907 1.90365i
\(635\) 23.4194i 0.929371i
\(636\) −24.3917 −0.967195
\(637\) −48.9324 + 5.85484i −1.93877 + 0.231977i
\(638\) −6.72347 + 11.6454i −0.266185 + 0.461045i
\(639\) 1.30835 0.755374i 0.0517574 0.0298821i
\(640\) −5.08786 + 8.81244i −0.201115 + 0.348342i
\(641\) 21.1911 36.7041i 0.836998 1.44972i −0.0553954 0.998464i \(-0.517642\pi\)
0.892393 0.451258i \(-0.149025\pi\)
\(642\) 32.7508 + 18.9087i 1.29257 + 0.746267i
\(643\) 2.02293i 0.0797766i 0.999204 + 0.0398883i \(0.0127002\pi\)
−0.999204 + 0.0398883i \(0.987300\pi\)
\(644\) 82.3060 47.5194i 3.24331 1.87253i
\(645\) 30.0105 17.3266i 1.18166 0.682234i
\(646\) 3.19563 5.53500i 0.125730 0.217772i
\(647\) 35.0938 1.37968 0.689839 0.723963i \(-0.257681\pi\)
0.689839 + 0.723963i \(0.257681\pi\)
\(648\) −56.5306 + 32.6380i −2.22073 + 1.28214i
\(649\) 13.9470 0.547468
\(650\) 1.73096 + 0.741064i 0.0678938 + 0.0290669i
\(651\) −25.9230 36.2945i −1.01600 1.42249i
\(652\) 20.4439i 0.800645i
\(653\) 23.2481 0.909767 0.454884 0.890551i \(-0.349681\pi\)
0.454884 + 0.890551i \(0.349681\pi\)
\(654\) 20.8947 + 36.1907i 0.817048 + 1.41517i
\(655\) 31.0774i 1.21429i
\(656\) 48.2207 + 27.8402i 1.88270 + 1.08698i
\(657\) −1.23701 + 0.714190i −0.0482605 + 0.0278632i
\(658\) −71.6262 + 41.3534i −2.79228 + 1.61212i
\(659\) −13.5124 −0.526370 −0.263185 0.964745i \(-0.584773\pi\)
−0.263185 + 0.964745i \(0.584773\pi\)
\(660\) 15.8445 27.4435i 0.616747 1.06824i
\(661\) 4.34486 + 2.50851i 0.168996 + 0.0975696i 0.582112 0.813109i \(-0.302226\pi\)
−0.413117 + 0.910678i \(0.635560\pi\)
\(662\) 4.69669 8.13491i 0.182542 0.316172i
\(663\) −9.24533 + 1.10622i −0.359059 + 0.0429620i
\(664\) −44.3273 + 76.7772i −1.72023 + 2.97953i
\(665\) 14.5201 8.38321i 0.563067 0.325087i
\(666\) 2.16134 0.0837502
\(667\) −13.2192 −0.511848
\(668\) 7.47760 4.31719i 0.289317 0.167037i
\(669\) −11.9666 6.90893i −0.462656 0.267115i
\(670\) −58.9903 + 34.0580i −2.27899 + 1.31578i
\(671\) −9.14641 5.28068i −0.353093 0.203859i
\(672\) 34.6289 59.9791i 1.33584 2.31374i
\(673\) −10.4594 + 18.1162i −0.403179 + 0.698327i −0.994108 0.108397i \(-0.965428\pi\)
0.590928 + 0.806724i \(0.298762\pi\)
\(674\) 37.7711i 1.45489i
\(675\) −0.514282 0.890763i −0.0197947 0.0342855i
\(676\) 17.2362 58.7385i 0.662932 2.25917i
\(677\) −10.3023 + 17.8440i −0.395948 + 0.685802i −0.993222 0.116235i \(-0.962917\pi\)
0.597273 + 0.802038i \(0.296251\pi\)
\(678\) 34.7088i 1.33298i
\(679\) −16.9284 29.3209i −0.649653 1.12523i
\(680\) −22.5257 −0.863823
\(681\) 25.5157i 0.977764i
\(682\) 20.4610 14.6140i 0.783490 0.559600i
\(683\) 15.0776i 0.576929i −0.957491 0.288465i \(-0.906855\pi\)
0.957491 0.288465i \(-0.0931448\pi\)
\(684\) 0.830826i 0.0317674i
\(685\) 19.2222 + 33.2939i 0.734443 + 1.27209i
\(686\) −78.5208 −2.99794
\(687\) −11.3150 6.53271i −0.431693 0.249238i
\(688\) 39.3041 + 68.0766i 1.49845 + 2.59540i
\(689\) −10.5243 + 1.25926i −0.400946 + 0.0479738i
\(690\) 44.3836 1.68965
\(691\) −2.51158 1.45006i −0.0955451 0.0551630i 0.451466 0.892288i \(-0.350901\pi\)
−0.547011 + 0.837125i \(0.684235\pi\)
\(692\) −36.1193 + 62.5605i −1.37305 + 2.37819i
\(693\) 0.415340 0.719389i 0.0157774 0.0273273i
\(694\) −9.14753 + 5.28133i −0.347236 + 0.200477i
\(695\) −13.4463 7.76325i −0.510049 0.294477i
\(696\) −31.8807 + 18.4063i −1.20844 + 0.697691i
\(697\) 9.32042i 0.353036i
\(698\) 13.6938 0.518318
\(699\) 17.3011 + 29.9664i 0.654388 + 1.13343i
\(700\) 3.73795 + 2.15811i 0.141281 + 0.0815688i
\(701\) 12.1770 + 21.0913i 0.459921 + 0.796606i 0.998956 0.0456771i \(-0.0145445\pi\)
−0.539036 + 0.842283i \(0.681211\pi\)
\(702\) −38.1371 + 28.5542i −1.43939 + 1.07771i
\(703\) −6.70282 + 11.6096i −0.252802 + 0.437865i
\(704\) 7.37210 + 4.25628i 0.277847 + 0.160415i
\(705\) −27.1100 −1.02102
\(706\) 17.7408 + 30.7280i 0.667684 + 1.15646i
\(707\) −9.66495 + 5.58006i −0.363488 + 0.209860i
\(708\) 57.4798 + 33.1860i 2.16022 + 1.24721i
\(709\) 1.18175i 0.0443815i −0.999754 0.0221907i \(-0.992936\pi\)
0.999754 0.0221907i \(-0.00706411\pi\)
\(710\) 70.8340 40.8960i 2.65835 1.53480i
\(711\) −1.26016 −0.0472596
\(712\) 22.3783 0.838664
\(713\) 22.4989 + 10.2363i 0.842591 + 0.383353i
\(714\) −30.4098 −1.13806
\(715\) 5.41965 12.6591i 0.202683 0.473423i
\(716\) −3.06308 5.30541i −0.114473 0.198272i
\(717\) 48.4007i 1.80756i
\(718\) 29.2963 50.7426i 1.09333 1.89370i
\(719\) 19.9470 + 34.5491i 0.743896 + 1.28847i 0.950709 + 0.310085i \(0.100357\pi\)
−0.206813 + 0.978380i \(0.566309\pi\)
\(720\) 1.74068 1.00498i 0.0648713 0.0374535i
\(721\) 11.1941i 0.416891i
\(722\) 36.2613 + 20.9355i 1.34950 + 0.779137i
\(723\) 10.1760 + 5.87512i 0.378450 + 0.218498i
\(724\) −43.0631 + 74.5875i −1.60043 + 2.77202i
\(725\) −0.300176 0.519920i −0.0111483 0.0193093i
\(726\) −31.4623 18.1648i −1.16768 0.674158i
\(727\) 4.44919 + 7.70623i 0.165011 + 0.285808i 0.936659 0.350242i \(-0.113901\pi\)
−0.771648 + 0.636050i \(0.780567\pi\)
\(728\) 45.2645 105.728i 1.67761 3.91853i
\(729\) 25.9921 0.962669
\(730\) −66.9720 + 38.6663i −2.47874 + 1.43110i
\(731\) 6.57915 11.3954i 0.243339 0.421475i
\(732\) −25.1301 43.5266i −0.928834 1.60879i
\(733\) −23.5838 13.6161i −0.871088 0.502923i −0.00337861 0.999994i \(-0.501075\pi\)
−0.867710 + 0.497071i \(0.834409\pi\)
\(734\) −67.0969 38.7384i −2.47659 1.42986i
\(735\) −45.6884 26.3782i −1.68524 0.972975i
\(736\) 38.3826i 1.41480i
\(737\) −10.4659 18.1275i −0.385517 0.667735i
\(738\) 0.863101 + 1.49494i 0.0317712 + 0.0550293i
\(739\) 38.8274 + 22.4170i 1.42829 + 0.824623i 0.996986 0.0775840i \(-0.0247206\pi\)
0.431303 + 0.902207i \(0.358054\pi\)
\(740\) 82.1313 3.01921
\(741\) 1.27076 + 10.6205i 0.0466824 + 0.390152i
\(742\) −34.6167 −1.27082
\(743\) 8.47466i 0.310905i 0.987843 + 0.155453i \(0.0496836\pi\)
−0.987843 + 0.155453i \(0.950316\pi\)
\(744\) 68.5138 6.64051i 2.51184 0.243453i
\(745\) 19.6309 0.719220
\(746\) 71.7202i 2.62586i
\(747\) −1.14676 + 0.662084i −0.0419579 + 0.0242244i
\(748\) 12.0328i 0.439962i
\(749\) 32.6236 + 18.8353i 1.19204 + 0.688226i
\(750\) 26.0014 + 45.0358i 0.949438 + 1.64447i
\(751\) 21.7167 + 37.6145i 0.792455 + 1.37257i 0.924443 + 0.381321i \(0.124531\pi\)
−0.131988 + 0.991251i \(0.542136\pi\)
\(752\) 61.4970i 2.24256i
\(753\) −13.4482 + 23.2930i −0.490079 + 0.848842i
\(754\) −22.2598 + 16.6665i −0.810655 + 0.606957i
\(755\) 9.62796 16.6761i 0.350397 0.606906i
\(756\) −94.5787 + 54.6050i −3.43979 + 1.98597i
\(757\) 14.9432 25.8824i 0.543120 0.940712i −0.455602 0.890183i \(-0.650576\pi\)
0.998723 0.0505285i \(-0.0160906\pi\)
\(758\) 19.0840 + 33.0545i 0.693164 + 1.20059i
\(759\) 13.6389i 0.495061i
\(760\) 25.8762i 0.938627i
\(761\) 27.0827 15.6362i 0.981749 0.566813i 0.0789511 0.996878i \(-0.474843\pi\)
0.902798 + 0.430066i \(0.141510\pi\)
\(762\) −42.2572 24.3972i −1.53082 0.883817i
\(763\) 20.8136 + 36.0502i 0.753502 + 1.30510i
\(764\) 44.2106 76.5750i 1.59948 2.77039i
\(765\) −0.291375 0.168225i −0.0105347