Properties

Label 731.2.j.a.135.14
Level 731
Weight 2
Character 731.135
Analytic conductor 5.837
Analytic rank 0
Dimension 128
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.j (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(64\) over \(\Q(\zeta_{6})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 135.14
Character \(\chi\) = 731.135
Dual form 731.2.j.a.509.14

$q$-expansion

\(f(q)\) \(=\) \(q-2.04963 q^{2} +(1.14468 + 0.660879i) q^{3} +2.20099 q^{4} +(1.07261 + 0.619273i) q^{5} +(-2.34616 - 1.35456i) q^{6} +(-0.325723 + 0.188056i) q^{7} -0.411958 q^{8} +(-0.626478 - 1.08509i) q^{9} +O(q^{10})\) \(q-2.04963 q^{2} +(1.14468 + 0.660879i) q^{3} +2.20099 q^{4} +(1.07261 + 0.619273i) q^{5} +(-2.34616 - 1.35456i) q^{6} +(-0.325723 + 0.188056i) q^{7} -0.411958 q^{8} +(-0.626478 - 1.08509i) q^{9} +(-2.19846 - 1.26928i) q^{10} -3.21595i q^{11} +(2.51942 + 1.45459i) q^{12} +(-1.51925 - 2.63143i) q^{13} +(0.667612 - 0.385446i) q^{14} +(0.818530 + 1.41773i) q^{15} -3.55762 q^{16} +(-4.10250 - 0.411696i) q^{17} +(1.28405 + 2.22404i) q^{18} +(2.17636 - 3.76957i) q^{19} +(2.36081 + 1.36302i) q^{20} -0.497130 q^{21} +6.59151i q^{22} +(-6.19848 - 3.57870i) q^{23} +(-0.471559 - 0.272254i) q^{24} +(-1.73300 - 3.00165i) q^{25} +(3.11391 + 5.39346i) q^{26} -5.62138i q^{27} +(-0.716913 + 0.413910i) q^{28} +(-2.12867 + 1.22899i) q^{29} +(-1.67768 - 2.90583i) q^{30} +(4.76401 + 2.75050i) q^{31} +8.11573 q^{32} +(2.12535 - 3.68122i) q^{33} +(8.40862 + 0.843825i) q^{34} -0.465833 q^{35} +(-1.37887 - 2.38828i) q^{36} +(0.0633372 + 0.0365677i) q^{37} +(-4.46074 + 7.72623i) q^{38} -4.01618i q^{39} +(-0.441871 - 0.255115i) q^{40} +4.40087i q^{41} +1.01893 q^{42} +(-6.23169 + 2.04110i) q^{43} -7.07828i q^{44} -1.55184i q^{45} +(12.7046 + 7.33501i) q^{46} +1.26040 q^{47} +(-4.07232 - 2.35116i) q^{48} +(-3.42927 + 5.93967i) q^{49} +(3.55201 + 6.15227i) q^{50} +(-4.42395 - 3.18251i) q^{51} +(-3.34387 - 5.79175i) q^{52} +(-0.0597063 + 0.103414i) q^{53} +11.5218i q^{54} +(1.99155 - 3.44947i) q^{55} +(0.134184 - 0.0774713i) q^{56} +(4.98246 - 2.87663i) q^{57} +(4.36298 - 2.51897i) q^{58} -6.51628 q^{59} +(1.80158 + 3.12042i) q^{60} +(9.01943 - 5.20737i) q^{61} +(-9.76446 - 5.63752i) q^{62} +(0.408116 + 0.235626i) q^{63} -9.51902 q^{64} -3.76334i q^{65} +(-4.35619 + 7.54515i) q^{66} +(5.84305 - 10.1205i) q^{67} +(-9.02957 - 0.906139i) q^{68} +(-4.73017 - 8.19290i) q^{69} +0.954786 q^{70} +(6.83335 - 3.94524i) q^{71} +(0.258083 + 0.447012i) q^{72} +(8.42147 - 4.86214i) q^{73} +(-0.129818 - 0.0749504i) q^{74} -4.58122i q^{75} +(4.79016 - 8.29679i) q^{76} +(0.604779 + 1.04751i) q^{77} +8.23168i q^{78} +(3.72882 - 2.15284i) q^{79} +(-3.81595 - 2.20314i) q^{80} +(1.83562 - 3.17938i) q^{81} -9.02017i q^{82} +(-8.85769 + 15.3420i) q^{83} -1.09418 q^{84} +(-4.14544 - 2.98216i) q^{85} +(12.7727 - 4.18350i) q^{86} -3.24885 q^{87} +1.32484i q^{88} +(-2.49935 + 4.32901i) q^{89} +3.18071i q^{90} +(0.989712 + 0.571411i) q^{91} +(-13.6428 - 7.87668i) q^{92} +(3.63550 + 6.29687i) q^{93} -2.58335 q^{94} +(4.66879 - 2.69553i) q^{95} +(9.28988 + 5.36351i) q^{96} -13.4689i q^{97} +(7.02874 - 12.1741i) q^{98} +(-3.48960 + 2.01472i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q - 4q^{2} + 116q^{4} - 12q^{8} + 70q^{9} + O(q^{10}) \) \( 128q - 4q^{2} + 116q^{4} - 12q^{8} + 70q^{9} + 4q^{13} - 12q^{15} + 76q^{16} + 2q^{17} - 16q^{18} - 2q^{19} - 20q^{21} + 60q^{25} - 2q^{26} - 28q^{30} - 48q^{32} + 22q^{33} - 18q^{34} - 112q^{35} + 36q^{36} - 40q^{38} + 36q^{42} + 10q^{43} + 36q^{47} + 52q^{49} + 16q^{50} + 10q^{51} + 10q^{52} + 24q^{55} - 12q^{59} - 78q^{60} + 36q^{64} + 14q^{66} + 10q^{67} - q^{68} - 64q^{70} - 68q^{72} - 22q^{76} - 28q^{77} - 20q^{81} - 6q^{83} + 32q^{84} + 6q^{85} - 58q^{86} + 32q^{87} + 36q^{89} + 6q^{93} + 132q^{94} - 48q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.04963 −1.44931 −0.724654 0.689113i \(-0.758001\pi\)
−0.724654 + 0.689113i \(0.758001\pi\)
\(3\) 1.14468 + 0.660879i 0.660879 + 0.381559i 0.792612 0.609727i \(-0.208721\pi\)
−0.131733 + 0.991285i \(0.542054\pi\)
\(4\) 2.20099 1.10050
\(5\) 1.07261 + 0.619273i 0.479687 + 0.276947i 0.720286 0.693677i \(-0.244011\pi\)
−0.240599 + 0.970625i \(0.577344\pi\)
\(6\) −2.34616 1.35456i −0.957818 0.552996i
\(7\) −0.325723 + 0.188056i −0.123112 + 0.0710786i −0.560291 0.828296i \(-0.689311\pi\)
0.437180 + 0.899374i \(0.355977\pi\)
\(8\) −0.411958 −0.145649
\(9\) −0.626478 1.08509i −0.208826 0.361697i
\(10\) −2.19846 1.26928i −0.695215 0.401382i
\(11\) 3.21595i 0.969645i −0.874612 0.484823i \(-0.838884\pi\)
0.874612 0.484823i \(-0.161116\pi\)
\(12\) 2.51942 + 1.45459i 0.727295 + 0.419904i
\(13\) −1.51925 2.63143i −0.421365 0.729826i 0.574708 0.818359i \(-0.305116\pi\)
−0.996073 + 0.0885322i \(0.971782\pi\)
\(14\) 0.667612 0.385446i 0.178427 0.103015i
\(15\) 0.818530 + 1.41773i 0.211343 + 0.366058i
\(16\) −3.55762 −0.889405
\(17\) −4.10250 0.411696i −0.995002 0.0998509i
\(18\) 1.28405 + 2.22404i 0.302653 + 0.524211i
\(19\) 2.17636 3.76957i 0.499292 0.864799i −0.500708 0.865616i \(-0.666927\pi\)
1.00000 0.000817420i \(0.000260193\pi\)
\(20\) 2.36081 + 1.36302i 0.527893 + 0.304779i
\(21\) −0.497130 −0.108483
\(22\) 6.59151i 1.40532i
\(23\) −6.19848 3.57870i −1.29247 0.746210i −0.313381 0.949627i \(-0.601462\pi\)
−0.979092 + 0.203418i \(0.934795\pi\)
\(24\) −0.471559 0.272254i −0.0962565 0.0555737i
\(25\) −1.73300 3.00165i −0.346600 0.600329i
\(26\) 3.11391 + 5.39346i 0.610689 + 1.05774i
\(27\) 5.62138i 1.08183i
\(28\) −0.716913 + 0.413910i −0.135484 + 0.0782217i
\(29\) −2.12867 + 1.22899i −0.395283 + 0.228217i −0.684447 0.729063i \(-0.739956\pi\)
0.289163 + 0.957280i \(0.406623\pi\)
\(30\) −1.67768 2.90583i −0.306302 0.530530i
\(31\) 4.76401 + 2.75050i 0.855641 + 0.494005i 0.862550 0.505972i \(-0.168866\pi\)
−0.00690913 + 0.999976i \(0.502199\pi\)
\(32\) 8.11573 1.43467
\(33\) 2.12535 3.68122i 0.369977 0.640818i
\(34\) 8.40862 + 0.843825i 1.44207 + 0.144715i
\(35\) −0.465833 −0.0787401
\(36\) −1.37887 2.38828i −0.229812 0.398046i
\(37\) 0.0633372 + 0.0365677i 0.0104126 + 0.00601170i 0.505197 0.863004i \(-0.331420\pi\)
−0.494785 + 0.869016i \(0.664753\pi\)
\(38\) −4.46074 + 7.72623i −0.723628 + 1.25336i
\(39\) 4.01618i 0.643103i
\(40\) −0.441871 0.255115i −0.0698660 0.0403372i
\(41\) 4.40087i 0.687301i 0.939098 + 0.343650i \(0.111663\pi\)
−0.939098 + 0.343650i \(0.888337\pi\)
\(42\) 1.01893 0.157225
\(43\) −6.23169 + 2.04110i −0.950323 + 0.311264i
\(44\) 7.07828i 1.06709i
\(45\) 1.55184i 0.231335i
\(46\) 12.7046 + 7.33501i 1.87319 + 1.08149i
\(47\) 1.26040 0.183848 0.0919240 0.995766i \(-0.470698\pi\)
0.0919240 + 0.995766i \(0.470698\pi\)
\(48\) −4.07232 2.35116i −0.587789 0.339360i
\(49\) −3.42927 + 5.93967i −0.489896 + 0.848524i
\(50\) 3.55201 + 6.15227i 0.502331 + 0.870062i
\(51\) −4.42395 3.18251i −0.619477 0.445641i
\(52\) −3.34387 5.79175i −0.463711 0.803171i
\(53\) −0.0597063 + 0.103414i −0.00820129 + 0.0142050i −0.870097 0.492881i \(-0.835944\pi\)
0.861896 + 0.507086i \(0.169277\pi\)
\(54\) 11.5218i 1.56791i
\(55\) 1.99155 3.44947i 0.268541 0.465126i
\(56\) 0.134184 0.0774713i 0.0179311 0.0103525i
\(57\) 4.98246 2.87663i 0.659943 0.381018i
\(58\) 4.36298 2.51897i 0.572888 0.330757i
\(59\) −6.51628 −0.848348 −0.424174 0.905581i \(-0.639435\pi\)
−0.424174 + 0.905581i \(0.639435\pi\)
\(60\) 1.80158 + 3.12042i 0.232582 + 0.402845i
\(61\) 9.01943 5.20737i 1.15482 0.666735i 0.204762 0.978812i \(-0.434358\pi\)
0.950057 + 0.312077i \(0.101025\pi\)
\(62\) −9.76446 5.63752i −1.24009 0.715965i
\(63\) 0.408116 + 0.235626i 0.0514178 + 0.0296861i
\(64\) −9.51902 −1.18988
\(65\) 3.76334i 0.466784i
\(66\) −4.35619 + 7.54515i −0.536210 + 0.928744i
\(67\) 5.84305 10.1205i 0.713842 1.23641i −0.249563 0.968359i \(-0.580287\pi\)
0.963405 0.268052i \(-0.0863798\pi\)
\(68\) −9.02957 0.906139i −1.09500 0.109886i
\(69\) −4.73017 8.19290i −0.569446 0.986309i
\(70\) 0.954786 0.114119
\(71\) 6.83335 3.94524i 0.810969 0.468213i −0.0363230 0.999340i \(-0.511565\pi\)
0.847292 + 0.531127i \(0.178231\pi\)
\(72\) 0.258083 + 0.447012i 0.0304153 + 0.0526809i
\(73\) 8.42147 4.86214i 0.985658 0.569070i 0.0816845 0.996658i \(-0.473970\pi\)
0.903974 + 0.427588i \(0.140637\pi\)
\(74\) −0.129818 0.0749504i −0.0150910 0.00871280i
\(75\) 4.58122i 0.528993i
\(76\) 4.79016 8.29679i 0.549469 0.951707i
\(77\) 0.604779 + 1.04751i 0.0689210 + 0.119375i
\(78\) 8.23168i 0.932054i
\(79\) 3.72882 2.15284i 0.419525 0.242213i −0.275349 0.961344i \(-0.588793\pi\)
0.694874 + 0.719131i \(0.255460\pi\)
\(80\) −3.81595 2.20314i −0.426636 0.246318i
\(81\) 1.83562 3.17938i 0.203958 0.353265i
\(82\) 9.02017i 0.996111i
\(83\) −8.85769 + 15.3420i −0.972257 + 1.68400i −0.283554 + 0.958956i \(0.591513\pi\)
−0.688704 + 0.725043i \(0.741820\pi\)
\(84\) −1.09418 −0.119385
\(85\) −4.14544 2.98216i −0.449636 0.323461i
\(86\) 12.7727 4.18350i 1.37731 0.451118i
\(87\) −3.24885 −0.348313
\(88\) 1.32484i 0.141228i
\(89\) −2.49935 + 4.32901i −0.264931 + 0.458874i −0.967546 0.252697i \(-0.918682\pi\)
0.702615 + 0.711571i \(0.252016\pi\)
\(90\) 3.18071i 0.335276i
\(91\) 0.989712 + 0.571411i 0.103750 + 0.0599001i
\(92\) −13.6428 7.87668i −1.42236 0.821200i
\(93\) 3.63550 + 6.29687i 0.376984 + 0.652955i
\(94\) −2.58335 −0.266452
\(95\) 4.66879 2.69553i 0.479008 0.276555i
\(96\) 9.28988 + 5.36351i 0.948144 + 0.547411i
\(97\) 13.4689i 1.36756i −0.729688 0.683780i \(-0.760335\pi\)
0.729688 0.683780i \(-0.239665\pi\)
\(98\) 7.02874 12.1741i 0.710010 1.22977i
\(99\) −3.48960 + 2.01472i −0.350718 + 0.202487i
\(100\) −3.81432 6.60660i −0.381432 0.660660i
\(101\) −8.58843 14.8756i −0.854581 1.48018i −0.877033 0.480430i \(-0.840481\pi\)
0.0224525 0.999748i \(-0.492853\pi\)
\(102\) 9.06748 + 6.52298i 0.897814 + 0.645872i
\(103\) −5.49172 9.51193i −0.541115 0.937239i −0.998840 0.0481451i \(-0.984669\pi\)
0.457725 0.889094i \(-0.348664\pi\)
\(104\) 0.625869 + 1.08404i 0.0613715 + 0.106299i
\(105\) −0.533228 0.307859i −0.0520377 0.0300440i
\(106\) 0.122376 0.211961i 0.0118862 0.0205875i
\(107\) 5.14270i 0.497163i 0.968611 + 0.248582i \(0.0799644\pi\)
−0.968611 + 0.248582i \(0.920036\pi\)
\(108\) 12.3726i 1.19055i
\(109\) 12.1557 + 7.01809i 1.16430 + 0.672211i 0.952332 0.305064i \(-0.0986780\pi\)
0.211972 + 0.977276i \(0.432011\pi\)
\(110\) −4.08195 + 7.07014i −0.389199 + 0.674112i
\(111\) 0.0483337 + 0.0837164i 0.00458763 + 0.00794601i
\(112\) 1.15880 0.669033i 0.109496 0.0632176i
\(113\) 10.9538i 1.03044i −0.857057 0.515221i \(-0.827710\pi\)
0.857057 0.515221i \(-0.172290\pi\)
\(114\) −10.2122 + 5.89602i −0.956461 + 0.552213i
\(115\) −4.43238 7.67711i −0.413322 0.715894i
\(116\) −4.68518 + 2.70499i −0.435008 + 0.251152i
\(117\) −1.90356 + 3.29706i −0.175984 + 0.304813i
\(118\) 13.3560 1.22952
\(119\) 1.41370 0.637402i 0.129594 0.0584305i
\(120\) −0.337200 0.584047i −0.0307820 0.0533160i
\(121\) 0.657665 0.0597878
\(122\) −18.4865 + 10.6732i −1.67369 + 0.966305i
\(123\) −2.90844 + 5.03757i −0.262246 + 0.454223i
\(124\) 10.4855 + 6.05383i 0.941629 + 0.543650i
\(125\) 10.4855i 0.937855i
\(126\) −0.836488 0.482947i −0.0745203 0.0430243i
\(127\) 11.9806 1.06311 0.531555 0.847024i \(-0.321608\pi\)
0.531555 + 0.847024i \(0.321608\pi\)
\(128\) 3.27902 0.289827
\(129\) −8.48218 1.78200i −0.746814 0.156896i
\(130\) 7.71345i 0.676515i
\(131\) 11.1928i 0.977924i 0.872305 + 0.488962i \(0.162624\pi\)
−0.872305 + 0.488962i \(0.837376\pi\)
\(132\) 4.67789 8.10234i 0.407158 0.705218i
\(133\) 1.63711i 0.141956i
\(134\) −11.9761 + 20.7432i −1.03458 + 1.79194i
\(135\) 3.48117 6.02956i 0.299611 0.518942i
\(136\) 1.69006 + 0.169601i 0.144921 + 0.0145432i
\(137\) 0.0782270 0.00668339 0.00334169 0.999994i \(-0.498936\pi\)
0.00334169 + 0.999994i \(0.498936\pi\)
\(138\) 9.69511 + 16.7924i 0.825302 + 1.42947i
\(139\) 10.4665 + 6.04283i 0.887755 + 0.512546i 0.873208 0.487348i \(-0.162036\pi\)
0.0145478 + 0.999894i \(0.495369\pi\)
\(140\) −1.02529 −0.0866531
\(141\) 1.44275 + 0.832971i 0.121501 + 0.0701488i
\(142\) −14.0059 + 8.08628i −1.17534 + 0.678586i
\(143\) −8.46254 + 4.88585i −0.707673 + 0.408575i
\(144\) 2.22877 + 3.86034i 0.185731 + 0.321695i
\(145\) −3.04431 −0.252816
\(146\) −17.2609 + 9.96559i −1.42852 + 0.824758i
\(147\) −7.85081 + 4.53267i −0.647524 + 0.373848i
\(148\) 0.139405 + 0.0804852i 0.0114590 + 0.00661585i
\(149\) −4.80098 + 8.31555i −0.393312 + 0.681236i −0.992884 0.119085i \(-0.962004\pi\)
0.599572 + 0.800321i \(0.295337\pi\)
\(150\) 9.38981i 0.766675i
\(151\) 15.3351 1.24796 0.623978 0.781442i \(-0.285515\pi\)
0.623978 + 0.781442i \(0.285515\pi\)
\(152\) −0.896570 + 1.55291i −0.0727215 + 0.125957i
\(153\) 2.12340 + 4.70950i 0.171666 + 0.380741i
\(154\) −1.23958 2.14701i −0.0998878 0.173011i
\(155\) 3.40662 + 5.90045i 0.273627 + 0.473935i
\(156\) 8.83957i 0.707732i
\(157\) 6.67036 + 11.5534i 0.532352 + 0.922062i 0.999286 + 0.0377693i \(0.0120252\pi\)
−0.466934 + 0.884292i \(0.654641\pi\)
\(158\) −7.64271 + 4.41252i −0.608022 + 0.351041i
\(159\) −0.136689 + 0.0789173i −0.0108401 + 0.00625855i
\(160\) 8.70503 + 5.02585i 0.688193 + 0.397329i
\(161\) 2.69198 0.212158
\(162\) −3.76234 + 6.51657i −0.295598 + 0.511990i
\(163\) −14.4359 + 8.33457i −1.13071 + 0.652814i −0.944113 0.329623i \(-0.893078\pi\)
−0.186595 + 0.982437i \(0.559745\pi\)
\(164\) 9.68628i 0.756371i
\(165\) 4.55936 2.63235i 0.354946 0.204928i
\(166\) 18.1550 31.4454i 1.40910 2.44063i
\(167\) −10.1806 5.87776i −0.787797 0.454835i 0.0513896 0.998679i \(-0.483635\pi\)
−0.839186 + 0.543844i \(0.816968\pi\)
\(168\) 0.204797 0.0158004
\(169\) 1.88373 3.26272i 0.144902 0.250978i
\(170\) 8.49663 + 6.11233i 0.651662 + 0.468794i
\(171\) −5.45377 −0.417060
\(172\) −13.7159 + 4.49244i −1.04583 + 0.342545i
\(173\) 6.07931i 0.462201i 0.972930 + 0.231101i \(0.0742326\pi\)
−0.972930 + 0.231101i \(0.925767\pi\)
\(174\) 6.65894 0.504813
\(175\) 1.12896 + 0.651803i 0.0853411 + 0.0492717i
\(176\) 11.4411i 0.862407i
\(177\) −7.45903 4.30647i −0.560655 0.323694i
\(178\) 5.12275 8.87287i 0.383967 0.665050i
\(179\) 8.56881 + 14.8416i 0.640463 + 1.10931i 0.985330 + 0.170663i \(0.0545908\pi\)
−0.344867 + 0.938652i \(0.612076\pi\)
\(180\) 3.41559i 0.254583i
\(181\) 7.38275 4.26244i 0.548756 0.316824i −0.199864 0.979824i \(-0.564050\pi\)
0.748620 + 0.662999i \(0.230717\pi\)
\(182\) −2.02855 1.17118i −0.150366 0.0868138i
\(183\) 13.7658 1.01759
\(184\) 2.55351 + 1.47427i 0.188248 + 0.108685i
\(185\) 0.0452908 + 0.0784460i 0.00332985 + 0.00576747i
\(186\) −7.45143 12.9063i −0.546365 0.946333i
\(187\) −1.32399 + 13.1934i −0.0968200 + 0.964800i
\(188\) 2.77412 0.202324
\(189\) 1.05714 + 1.83101i 0.0768953 + 0.133187i
\(190\) −9.56930 + 5.52484i −0.694230 + 0.400814i
\(191\) −6.53911 + 11.3261i −0.473154 + 0.819526i −0.999528 0.0307268i \(-0.990218\pi\)
0.526374 + 0.850253i \(0.323551\pi\)
\(192\) −10.8962 6.29092i −0.786365 0.454008i
\(193\) 23.8529i 1.71697i 0.512841 + 0.858484i \(0.328593\pi\)
−0.512841 + 0.858484i \(0.671407\pi\)
\(194\) 27.6063i 1.98202i
\(195\) 2.48711 4.30780i 0.178106 0.308488i
\(196\) −7.54779 + 13.0732i −0.539128 + 0.933797i
\(197\) 10.8322 6.25395i 0.771760 0.445576i −0.0617424 0.998092i \(-0.519666\pi\)
0.833502 + 0.552517i \(0.186332\pi\)
\(198\) 7.15239 4.12944i 0.508298 0.293466i
\(199\) 21.7920i 1.54480i 0.635139 + 0.772398i \(0.280943\pi\)
−0.635139 + 0.772398i \(0.719057\pi\)
\(200\) 0.713924 + 1.23655i 0.0504820 + 0.0874375i
\(201\) 13.3768 7.72310i 0.943526 0.544745i
\(202\) 17.6031 + 30.4895i 1.23855 + 2.14523i
\(203\) 0.462237 0.800618i 0.0324427 0.0561924i
\(204\) −9.73708 7.00469i −0.681732 0.490426i
\(205\) −2.72534 + 4.72043i −0.190346 + 0.329689i
\(206\) 11.2560 + 19.4960i 0.784243 + 1.35835i
\(207\) 8.96789i 0.623312i
\(208\) 5.40493 + 9.36162i 0.374765 + 0.649111i
\(209\) −12.1228 6.99907i −0.838548 0.484136i
\(210\) 1.09292 + 0.630998i 0.0754187 + 0.0435430i
\(211\) 28.1289i 1.93647i −0.250040 0.968235i \(-0.580444\pi\)
0.250040 0.968235i \(-0.419556\pi\)
\(212\) −0.131413 + 0.227614i −0.00902548 + 0.0156326i
\(213\) 10.4293 0.714604
\(214\) 10.5406i 0.720543i
\(215\) −7.94818 1.66981i −0.542062 0.113880i
\(216\) 2.31577i 0.157568i
\(217\) −2.06900 −0.140453
\(218\) −24.9147 14.3845i −1.68744 0.974242i
\(219\) 12.8531 0.868534
\(220\) 4.38339 7.59225i 0.295528 0.511869i
\(221\) 5.14940 + 11.4209i 0.346386 + 0.768253i
\(222\) −0.0990663 0.171588i −0.00664889 0.0115162i
\(223\) −13.1603 −0.881278 −0.440639 0.897684i \(-0.645248\pi\)
−0.440639 + 0.897684i \(0.645248\pi\)
\(224\) −2.64348 + 1.52621i −0.176625 + 0.101974i
\(225\) −2.17137 + 3.76093i −0.144758 + 0.250729i
\(226\) 22.4512i 1.49343i
\(227\) 23.5426 + 13.5923i 1.56258 + 0.902153i 0.996995 + 0.0774598i \(0.0246810\pi\)
0.565580 + 0.824693i \(0.308652\pi\)
\(228\) 10.9664 6.33143i 0.726265 0.419309i
\(229\) −14.5518 25.2045i −0.961613 1.66556i −0.718452 0.695576i \(-0.755149\pi\)
−0.243161 0.969986i \(-0.578184\pi\)
\(230\) 9.08475 + 15.7352i 0.599031 + 1.03755i
\(231\) 1.59874i 0.105190i
\(232\) 0.876921 0.506291i 0.0575727 0.0332396i
\(233\) −1.62790 + 0.939871i −0.106648 + 0.0615730i −0.552375 0.833596i \(-0.686278\pi\)
0.445728 + 0.895169i \(0.352945\pi\)
\(234\) 3.90159 6.75776i 0.255055 0.441769i
\(235\) 1.35192 + 0.780531i 0.0881895 + 0.0509162i
\(236\) −14.3423 −0.933603
\(237\) 5.69106 0.369674
\(238\) −2.89757 + 1.30644i −0.187821 + 0.0846839i
\(239\) 7.35673 12.7422i 0.475867 0.824226i −0.523751 0.851872i \(-0.675468\pi\)
0.999618 + 0.0276455i \(0.00880095\pi\)
\(240\) −2.91202 5.04376i −0.187970 0.325573i
\(241\) 8.24038 4.75758i 0.530809 0.306463i −0.210537 0.977586i \(-0.567521\pi\)
0.741346 + 0.671123i \(0.234188\pi\)
\(242\) −1.34797 −0.0866509
\(243\) −10.4024 + 6.00582i −0.667314 + 0.385274i
\(244\) 19.8517 11.4614i 1.27087 0.733739i
\(245\) −7.35656 + 4.24731i −0.469993 + 0.271351i
\(246\) 5.96124 10.3252i 0.380075 0.658309i
\(247\) −13.2258 −0.841538
\(248\) −1.96257 1.13309i −0.124623 0.0719514i
\(249\) −20.2784 + 11.7077i −1.28509 + 0.741947i
\(250\) 21.4915i 1.35924i
\(251\) −3.29683 5.71027i −0.208094 0.360429i 0.743020 0.669269i \(-0.233393\pi\)
−0.951114 + 0.308840i \(0.900059\pi\)
\(252\) 0.898260 + 0.518611i 0.0565851 + 0.0326694i
\(253\) −11.5089 + 19.9340i −0.723559 + 1.25324i
\(254\) −24.5559 −1.54077
\(255\) −2.77434 6.15324i −0.173736 0.385331i
\(256\) 12.3172 0.769828
\(257\) −3.83620 −0.239295 −0.119648 0.992816i \(-0.538177\pi\)
−0.119648 + 0.992816i \(0.538177\pi\)
\(258\) 17.3854 + 3.65244i 1.08236 + 0.227391i
\(259\) −0.0275072 −0.00170921
\(260\) 8.28307i 0.513694i
\(261\) 2.66712 + 1.53986i 0.165091 + 0.0953152i
\(262\) 22.9412i 1.41731i
\(263\) 1.12700 1.95202i 0.0694938 0.120367i −0.829185 0.558975i \(-0.811195\pi\)
0.898679 + 0.438608i \(0.144528\pi\)
\(264\) −0.875557 + 1.51651i −0.0538868 + 0.0933347i
\(265\) −0.128083 + 0.0739490i −0.00786810 + 0.00454265i
\(266\) 3.35548i 0.205738i
\(267\) −5.72190 + 3.30354i −0.350175 + 0.202173i
\(268\) 12.8605 22.2750i 0.785580 1.36066i
\(269\) 19.6404i 1.19749i −0.800938 0.598747i \(-0.795665\pi\)
0.800938 0.598747i \(-0.204335\pi\)
\(270\) −7.13512 + 12.3584i −0.434229 + 0.752107i
\(271\) −11.0573 19.1519i −0.671685 1.16339i −0.977426 0.211278i \(-0.932238\pi\)
0.305741 0.952115i \(-0.401096\pi\)
\(272\) 14.5951 + 1.46466i 0.884960 + 0.0888079i
\(273\) 0.755267 + 1.30816i 0.0457108 + 0.0791735i
\(274\) −0.160337 −0.00968629
\(275\) −9.65314 + 5.57325i −0.582106 + 0.336079i
\(276\) −10.4111 18.0325i −0.626672 1.08543i
\(277\) −13.5522 7.82434i −0.814270 0.470119i 0.0341663 0.999416i \(-0.489122\pi\)
−0.848437 + 0.529297i \(0.822456\pi\)
\(278\) −21.4524 12.3856i −1.28663 0.742837i
\(279\) 6.89251i 0.412644i
\(280\) 0.191904 0.0114684
\(281\) 12.7626 22.1055i 0.761355 1.31871i −0.180797 0.983520i \(-0.557868\pi\)
0.942152 0.335186i \(-0.108799\pi\)
\(282\) −2.95710 1.70728i −0.176093 0.101667i
\(283\) 1.41447 0.816646i 0.0840816 0.0485445i −0.457370 0.889277i \(-0.651208\pi\)
0.541451 + 0.840732i \(0.317875\pi\)
\(284\) 15.0401 8.68343i 0.892468 0.515267i
\(285\) 7.12567 0.422088
\(286\) 17.3451 10.0142i 1.02564 0.592151i
\(287\) −0.827611 1.43346i −0.0488523 0.0846147i
\(288\) −5.08432 8.80630i −0.299597 0.518916i
\(289\) 16.6610 + 3.37796i 0.980060 + 0.198704i
\(290\) 6.23972 0.366409
\(291\) 8.90132 15.4175i 0.521804 0.903792i
\(292\) 18.5356 10.7015i 1.08471 0.626259i
\(293\) −5.50109 −0.321377 −0.160688 0.987005i \(-0.551371\pi\)
−0.160688 + 0.987005i \(0.551371\pi\)
\(294\) 16.0913 9.29030i 0.938462 0.541821i
\(295\) −6.98945 4.03536i −0.406941 0.234948i
\(296\) −0.0260922 0.0150644i −0.00151658 0.000875599i
\(297\) −18.0781 −1.04900
\(298\) 9.84025 17.0438i 0.570030 0.987321i
\(299\) 21.7478i 1.25771i
\(300\) 10.0832i 0.582155i
\(301\) 1.64596 1.83674i 0.0948717 0.105868i
\(302\) −31.4314 −1.80867
\(303\) 22.7037i 1.30429i
\(304\) −7.74267 + 13.4107i −0.444073 + 0.769157i
\(305\) 12.8991 0.738602
\(306\) −4.35218 9.65275i −0.248798 0.551811i
\(307\) −15.3065 + 26.5116i −0.873587 + 1.51310i −0.0153261 + 0.999883i \(0.504879\pi\)
−0.858261 + 0.513214i \(0.828455\pi\)
\(308\) 1.33111 + 2.30556i 0.0758473 + 0.131371i
\(309\) 14.5174i 0.825869i
\(310\) −6.98232 12.0937i −0.396569 0.686878i
\(311\) 27.8979 + 16.1069i 1.58194 + 0.913336i 0.994576 + 0.104016i \(0.0331694\pi\)
0.587369 + 0.809320i \(0.300164\pi\)
\(312\) 1.65450i 0.0936674i
\(313\) 2.01012 + 1.16054i 0.113619 + 0.0655978i 0.555732 0.831361i \(-0.312438\pi\)
−0.442114 + 0.896959i \(0.645771\pi\)
\(314\) −13.6718 23.6802i −0.771543 1.33635i
\(315\) 0.291834 + 0.505471i 0.0164430 + 0.0284801i
\(316\) 8.20710 4.73837i 0.461686 0.266554i
\(317\) 22.8348i 1.28253i −0.767318 0.641266i \(-0.778409\pi\)
0.767318 0.641266i \(-0.221591\pi\)
\(318\) 0.280162 0.161751i 0.0157107 0.00907056i
\(319\) 3.95236 + 6.84569i 0.221290 + 0.383285i
\(320\) −10.2102 5.89487i −0.570769 0.329533i
\(321\) −3.39870 + 5.88672i −0.189697 + 0.328565i
\(322\) −5.51758 −0.307483
\(323\) −10.4804 + 14.5687i −0.583148 + 0.810622i
\(324\) 4.04018 6.99780i 0.224454 0.388767i
\(325\) −5.26574 + 9.12053i −0.292091 + 0.505916i
\(326\) 29.5883 17.0828i 1.63874 0.946129i
\(327\) 9.27622 + 16.0669i 0.512976 + 0.888501i
\(328\) 1.81297i 0.100105i
\(329\) −0.410541 + 0.237026i −0.0226338 + 0.0130676i
\(330\) −9.34502 + 5.39535i −0.514426 + 0.297004i
\(331\) −5.73060 9.92569i −0.314982 0.545565i 0.664452 0.747331i \(-0.268665\pi\)
−0.979434 + 0.201766i \(0.935332\pi\)
\(332\) −19.4957 + 33.7675i −1.06996 + 1.85323i
\(333\) 0.0916354i 0.00502159i
\(334\) 20.8664 + 12.0472i 1.14176 + 0.659196i
\(335\) 12.5347 7.23689i 0.684841 0.395393i
\(336\) 1.76860 0.0964850
\(337\) −19.3232 + 11.1562i −1.05260 + 0.607720i −0.923376 0.383896i \(-0.874582\pi\)
−0.129225 + 0.991615i \(0.541249\pi\)
\(338\) −3.86095 + 6.68737i −0.210008 + 0.363745i
\(339\) 7.23911 12.5385i 0.393174 0.680998i
\(340\) −9.12408 6.56371i −0.494823 0.355967i
\(341\) 8.84547 15.3208i 0.479009 0.829668i
\(342\) 11.1782 0.604449
\(343\) 5.21237i 0.281441i
\(344\) 2.56719 0.840846i 0.138414 0.0453354i
\(345\) 11.7171i 0.630826i
\(346\) 12.4603i 0.669872i
\(347\) −3.39401 1.95953i −0.182200 0.105193i 0.406126 0.913817i \(-0.366879\pi\)
−0.588326 + 0.808624i \(0.700213\pi\)
\(348\) −7.15068 −0.383317
\(349\) −15.4174 + 26.7038i −0.825277 + 1.42942i 0.0764304 + 0.997075i \(0.475648\pi\)
−0.901707 + 0.432347i \(0.857686\pi\)
\(350\) −2.31395 1.33596i −0.123686 0.0714099i
\(351\) −14.7922 + 8.54031i −0.789552 + 0.455848i
\(352\) 26.0998i 1.39112i
\(353\) −2.56002 4.43408i −0.136256 0.236002i 0.789821 0.613338i \(-0.210174\pi\)
−0.926077 + 0.377336i \(0.876840\pi\)
\(354\) 15.2883 + 8.82669i 0.812562 + 0.469133i
\(355\) 9.77272 0.518682
\(356\) −5.50105 + 9.52811i −0.291555 + 0.504989i
\(357\) 2.03947 + 0.204666i 0.107940 + 0.0108321i
\(358\) −17.5629 30.4198i −0.928229 1.60774i
\(359\) 9.01098 + 15.6075i 0.475581 + 0.823731i 0.999609 0.0279702i \(-0.00890437\pi\)
−0.524027 + 0.851701i \(0.675571\pi\)
\(360\) 0.639294i 0.0336938i
\(361\) 0.0268877 + 0.0465709i 0.00141514 + 0.00245110i
\(362\) −15.1319 + 8.73642i −0.795317 + 0.459176i
\(363\) 0.752814 + 0.434637i 0.0395125 + 0.0228125i
\(364\) 2.17835 + 1.25767i 0.114176 + 0.0659198i
\(365\) 12.0440 0.630410
\(366\) −28.2147 −1.47481
\(367\) −11.1586 6.44243i −0.582475 0.336292i 0.179641 0.983732i \(-0.442506\pi\)
−0.762117 + 0.647440i \(0.775840\pi\)
\(368\) 22.0518 + 12.7316i 1.14953 + 0.663683i
\(369\) 4.77535 2.75705i 0.248595 0.143526i
\(370\) −0.0928295 0.160785i −0.00482598 0.00835884i
\(371\) 0.0449125i 0.00233174i
\(372\) 8.00170 + 13.8593i 0.414869 + 0.718574i
\(373\) −3.70690 6.42055i −0.191936 0.332443i 0.753956 0.656925i \(-0.228143\pi\)
−0.945892 + 0.324482i \(0.894810\pi\)
\(374\) 2.71370 27.0417i 0.140322 1.39829i
\(375\) 6.92967 12.0025i 0.357847 0.619809i
\(376\) −0.519231 −0.0267773
\(377\) 6.46797 + 3.73429i 0.333118 + 0.192326i
\(378\) −2.16674 3.75290i −0.111445 0.193028i
\(379\) 1.27517i 0.0655009i 0.999464 + 0.0327505i \(0.0104267\pi\)
−0.999464 + 0.0327505i \(0.989573\pi\)
\(380\) 10.2760 5.93283i 0.527146 0.304348i
\(381\) 13.7139 + 7.91775i 0.702587 + 0.405639i
\(382\) 13.4028 23.2143i 0.685746 1.18775i
\(383\) −1.85413 −0.0947414 −0.0473707 0.998877i \(-0.515084\pi\)
−0.0473707 + 0.998877i \(0.515084\pi\)
\(384\) 3.75342 + 2.16704i 0.191541 + 0.110586i
\(385\) 1.49809i 0.0763500i
\(386\) 48.8896i 2.48842i
\(387\) 6.11879 + 5.48325i 0.311035 + 0.278729i
\(388\) 29.6449i 1.50499i
\(389\) −2.03125 −0.102988 −0.0514942 0.998673i \(-0.516398\pi\)
−0.0514942 + 0.998673i \(0.516398\pi\)
\(390\) −5.09766 + 8.82941i −0.258130 + 0.447094i
\(391\) 23.9559 + 17.2335i 1.21150 + 0.871535i
\(392\) 1.41272 2.44689i 0.0713529 0.123587i
\(393\) −7.39712 + 12.8122i −0.373135 + 0.646289i
\(394\) −22.2019 + 12.8183i −1.11852 + 0.645777i
\(395\) 5.33278 0.268321
\(396\) −7.68058 + 4.43438i −0.385963 + 0.222836i
\(397\) 7.03576 + 4.06210i 0.353115 + 0.203871i 0.666056 0.745902i \(-0.267981\pi\)
−0.312942 + 0.949772i \(0.601314\pi\)
\(398\) 44.6657i 2.23889i
\(399\) −1.08193 + 1.87397i −0.0541645 + 0.0938156i
\(400\) 6.16536 + 10.6787i 0.308268 + 0.533936i
\(401\) 15.1797 8.76403i 0.758040 0.437655i −0.0705516 0.997508i \(-0.522476\pi\)
0.828592 + 0.559854i \(0.189143\pi\)
\(402\) −27.4175 + 15.8295i −1.36746 + 0.789504i
\(403\) 16.7148i 0.832626i
\(404\) −18.9031 32.7411i −0.940462 1.62893i
\(405\) 3.93782 2.27350i 0.195672 0.112971i
\(406\) −0.947416 + 1.64097i −0.0470195 + 0.0814401i
\(407\) 0.117600 0.203689i 0.00582921 0.0100965i
\(408\) 1.82248 + 1.31106i 0.0902264 + 0.0649073i
\(409\) 13.4431 0.664721 0.332360 0.943152i \(-0.392155\pi\)
0.332360 + 0.943152i \(0.392155\pi\)
\(410\) 5.58595 9.67515i 0.275870 0.477821i
\(411\) 0.0895446 + 0.0516986i 0.00441691 + 0.00255010i
\(412\) −12.0872 20.9357i −0.595495 1.03143i
\(413\) 2.12250 1.22543i 0.104442 0.0602993i
\(414\) 18.3809i 0.903371i
\(415\) −19.0017 + 10.9707i −0.932758 + 0.538528i
\(416\) −12.3299 21.3559i −0.604521 1.04706i
\(417\) 7.98716 + 13.8342i 0.391133 + 0.677462i
\(418\) 24.8472 + 14.3455i 1.21532 + 0.701663i
\(419\) 25.5742i 1.24938i −0.780871 0.624692i \(-0.785225\pi\)
0.780871 0.624692i \(-0.214775\pi\)
\(420\) −1.17363 0.677595i −0.0572673 0.0330633i
\(421\) −9.03038 15.6411i −0.440114 0.762300i 0.557583 0.830121i \(-0.311729\pi\)
−0.997698 + 0.0678210i \(0.978395\pi\)
\(422\) 57.6538i 2.80654i
\(423\) −0.789611 1.36765i −0.0383922 0.0664973i
\(424\) 0.0245965 0.0426024i 0.00119451 0.00206895i
\(425\) 5.87387 + 13.0277i 0.284925 + 0.631937i
\(426\) −21.3762 −1.03568
\(427\) −1.95856 + 3.39232i −0.0947812 + 0.164166i
\(428\) 11.3190i 0.547126i
\(429\) −12.9158 −0.623582
\(430\) 16.2909 + 3.42250i 0.785615 + 0.165048i
\(431\) 9.91132i 0.477411i 0.971092 + 0.238706i \(0.0767231\pi\)
−0.971092 + 0.238706i \(0.923277\pi\)
\(432\) 19.9987i 0.962189i
\(433\) 17.3438 30.0404i 0.833492 1.44365i −0.0617607 0.998091i \(-0.519672\pi\)
0.895253 0.445559i \(-0.146995\pi\)
\(434\) 4.24068 0.203559
\(435\) −3.48475 2.01192i −0.167081 0.0964643i
\(436\) 26.7546 + 15.4468i 1.28131 + 0.739765i
\(437\) −26.9803 + 15.5771i −1.29064 + 0.745153i
\(438\) −26.3442 −1.25877
\(439\) −13.6387 + 7.87429i −0.650938 + 0.375819i −0.788816 0.614630i \(-0.789305\pi\)
0.137877 + 0.990449i \(0.455972\pi\)
\(440\) −0.820436 + 1.42104i −0.0391127 + 0.0677453i
\(441\) 8.59344 0.409212
\(442\) −10.5544 23.4086i −0.502020 1.11344i
\(443\) −0.154118 0.266940i −0.00732236 0.0126827i 0.862341 0.506328i \(-0.168997\pi\)
−0.869663 + 0.493645i \(0.835664\pi\)
\(444\) 0.106382 + 0.184259i 0.00504867 + 0.00874455i
\(445\) −5.36168 + 3.09557i −0.254168 + 0.146744i
\(446\) 26.9737 1.27724
\(447\) −10.9911 + 6.34574i −0.519863 + 0.300143i
\(448\) 3.10056 1.79011i 0.146488 0.0845748i
\(449\) −1.23276 0.711732i −0.0581773 0.0335887i 0.470629 0.882331i \(-0.344027\pi\)
−0.528807 + 0.848742i \(0.677360\pi\)
\(450\) 4.45052 7.70852i 0.209799 0.363383i
\(451\) 14.1530 0.666438
\(452\) 24.1091i 1.13400i
\(453\) 17.5538 + 10.1347i 0.824748 + 0.476168i
\(454\) −48.2536 27.8592i −2.26465 1.30750i
\(455\) 0.707719 + 1.22580i 0.0331784 + 0.0574666i
\(456\) −2.05257 + 1.18505i −0.0961202 + 0.0554950i
\(457\) −11.5614 −0.540822 −0.270411 0.962745i \(-0.587160\pi\)
−0.270411 + 0.962745i \(0.587160\pi\)
\(458\) 29.8259 + 51.6600i 1.39367 + 2.41391i
\(459\) −2.31430 + 23.0617i −0.108022 + 1.07643i
\(460\) −9.75563 16.8973i −0.454859 0.787838i
\(461\) −10.8159 + 18.7337i −0.503748 + 0.872516i 0.496243 + 0.868184i \(0.334713\pi\)
−0.999991 + 0.00433277i \(0.998621\pi\)
\(462\) 3.27684i 0.152452i
\(463\) 4.02199 6.96629i 0.186918 0.323751i −0.757303 0.653063i \(-0.773484\pi\)
0.944221 + 0.329312i \(0.106817\pi\)
\(464\) 7.57299 4.37227i 0.351567 0.202977i
\(465\) 9.00547i 0.417618i
\(466\) 3.33660 1.92639i 0.154565 0.0892383i
\(467\) 14.1004 24.4226i 0.652488 1.13014i −0.330029 0.943971i \(-0.607058\pi\)
0.982517 0.186172i \(-0.0596082\pi\)
\(468\) −4.18972 + 7.25680i −0.193670 + 0.335446i
\(469\) 4.39529i 0.202955i
\(470\) −2.77094 1.59980i −0.127814 0.0737933i
\(471\) 17.6332i 0.812495i
\(472\) 2.68443 0.123561
\(473\) 6.56406 + 20.0408i 0.301816 + 0.921477i
\(474\) −11.6646 −0.535772
\(475\) −15.0866 −0.692219
\(476\) 3.11154 1.40292i 0.142617 0.0643025i
\(477\) 0.149619 0.00685056
\(478\) −15.0786 + 26.1169i −0.689678 + 1.19456i
\(479\) −35.8011 20.6698i −1.63579 0.944425i −0.982259 0.187528i \(-0.939953\pi\)
−0.653533 0.756898i \(-0.726714\pi\)
\(480\) 6.64296 + 11.5059i 0.303208 + 0.525172i
\(481\) 0.222223i 0.0101325i
\(482\) −16.8897 + 9.75130i −0.769307 + 0.444159i
\(483\) 3.08145 + 1.77908i 0.140211 + 0.0809508i
\(484\) 1.44752 0.0657962
\(485\) 8.34093 14.4469i 0.378742 0.656001i
\(486\) 21.3211 12.3097i 0.967144 0.558381i
\(487\) 0.533301 0.307901i 0.0241662 0.0139523i −0.487868 0.872917i \(-0.662225\pi\)
0.512034 + 0.858965i \(0.328892\pi\)
\(488\) −3.71562 + 2.14522i −0.168198 + 0.0971094i
\(489\) −22.0326 −0.996348
\(490\) 15.0782 8.70542i 0.681165 0.393271i
\(491\) −0.642989 1.11369i −0.0290177 0.0502601i 0.851152 0.524920i \(-0.175905\pi\)
−0.880170 + 0.474659i \(0.842571\pi\)
\(492\) −6.40146 + 11.0877i −0.288600 + 0.499870i
\(493\) 9.23882 4.16555i 0.416096 0.187607i
\(494\) 27.1080 1.21965
\(495\) −4.99065 −0.224313
\(496\) −16.9485 9.78524i −0.761011 0.439370i
\(497\) −1.48385 + 2.57011i −0.0665599 + 0.115285i
\(498\) 41.5632 23.9965i 1.86249 1.07531i
\(499\) −1.46542 + 0.846060i −0.0656012 + 0.0378748i −0.532442 0.846467i \(-0.678725\pi\)
0.466841 + 0.884341i \(0.345392\pi\)
\(500\) 23.0786i 1.03211i
\(501\) −7.76898 13.4563i −0.347092 0.601181i
\(502\) 6.75728 + 11.7040i 0.301592 + 0.522373i
\(503\) −27.9955 + 16.1632i −1.24826 + 0.720681i −0.970761 0.240046i \(-0.922837\pi\)
−0.277495 + 0.960727i \(0.589504\pi\)
\(504\) −0.168127 0.0970680i −0.00748896 0.00432375i
\(505\) 21.2743i 0.946696i
\(506\) 23.5890 40.8574i 1.04866 1.81633i
\(507\) 4.31252 2.48983i 0.191526 0.110577i
\(508\) 26.3693 1.16995
\(509\) −3.86661 6.69716i −0.171384 0.296846i 0.767520 0.641025i \(-0.221491\pi\)
−0.938904 + 0.344179i \(0.888157\pi\)
\(510\) 5.68638 + 12.6119i 0.251797 + 0.558463i
\(511\) −1.82871 + 3.16742i −0.0808974 + 0.140118i
\(512\) −31.8039 −1.40555
\(513\) −21.1902 12.2342i −0.935570 0.540151i
\(514\) 7.86279 0.346813
\(515\) 13.6035i 0.599442i
\(516\) −18.6692 3.92216i −0.821866 0.172663i
\(517\) 4.05338i 0.178267i
\(518\) 0.0563795 0.00247717
\(519\) −4.01769 + 6.95884i −0.176357 + 0.305459i
\(520\) 1.55034i 0.0679867i
\(521\) 10.6383 + 6.14204i 0.466074 + 0.269088i 0.714595 0.699539i \(-0.246611\pi\)
−0.248521 + 0.968627i \(0.579944\pi\)
\(522\) −5.46662 3.15616i −0.239268 0.138141i
\(523\) 11.2966 + 19.5663i 0.493965 + 0.855572i 0.999976 0.00695469i \(-0.00221376\pi\)
−0.506011 + 0.862527i \(0.668880\pi\)
\(524\) 24.6354i 1.07620i
\(525\) 0.861526 + 1.49221i 0.0376001 + 0.0651253i
\(526\) −2.30994 + 4.00093i −0.100718 + 0.174449i
\(527\) −18.4120 13.2453i −0.802038 0.576972i
\(528\) −7.56120 + 13.0964i −0.329059 + 0.569947i
\(529\) 14.1141 + 24.4464i 0.613658 + 1.06289i
\(530\) 0.262524 0.151568i 0.0114033 0.00658370i
\(531\) 4.08230 + 7.07076i 0.177157 + 0.306845i
\(532\) 3.60327i 0.156222i
\(533\) 11.5806 6.68604i 0.501610 0.289605i
\(534\) 11.7278 6.77104i 0.507511 0.293012i
\(535\) −3.18473 + 5.51612i −0.137688 + 0.238483i
\(536\) −2.40709 + 4.16920i −0.103970 + 0.180082i
\(537\) 22.6518i 0.977497i
\(538\) 40.2555i 1.73554i
\(539\) 19.1017 + 11.0284i 0.822768 + 0.475025i
\(540\) 7.66202 13.2710i 0.329721 0.571094i
\(541\) 28.7477 16.5975i 1.23596 0.713581i 0.267693 0.963504i \(-0.413739\pi\)
0.968266 + 0.249923i \(0.0804052\pi\)
\(542\) 22.6635 + 39.2542i 0.973479 + 1.68611i
\(543\) 11.2678 0.483548
\(544\) −33.2948 3.34121i −1.42750 0.143253i
\(545\) 8.69223 + 15.0554i 0.372334 + 0.644902i
\(546\) −1.54802 2.68125i −0.0662491 0.114747i
\(547\) −2.76616 1.59704i −0.118272 0.0682846i 0.439697 0.898146i \(-0.355086\pi\)
−0.557969 + 0.829862i \(0.688419\pi\)
\(548\) 0.172177 0.00735504
\(549\) −11.3009 6.52460i −0.482312 0.278463i
\(550\) 19.7854 11.4231i 0.843652 0.487083i
\(551\) 10.6989i 0.455788i
\(552\) 1.94863 + 3.37513i 0.0829393 + 0.143655i
\(553\) −0.809709 + 1.40246i −0.0344323 + 0.0596385i
\(554\) 27.7769 + 16.0370i 1.18013 + 0.681348i
\(555\) 0.119727i 0.00508213i
\(556\) 23.0366 + 13.3002i 0.976971 + 0.564054i
\(557\) 11.7269 0.496884 0.248442 0.968647i \(-0.420081\pi\)
0.248442 + 0.968647i \(0.420081\pi\)
\(558\) 14.1271i 0.598048i
\(559\) 14.8385 + 13.2973i 0.627602 + 0.562415i
\(560\) 1.65726 0.0700318
\(561\) −10.2348 + 14.2272i −0.432114 + 0.600673i
\(562\) −26.1587 + 45.3082i −1.10344 + 1.91121i
\(563\) 4.54836 0.191691 0.0958453 0.995396i \(-0.469445\pi\)
0.0958453 + 0.995396i \(0.469445\pi\)
\(564\) 3.17547 + 1.83336i 0.133712 + 0.0771984i
\(565\) 6.78337 11.7491i 0.285378 0.494290i
\(566\) −2.89915 + 1.67382i −0.121860 + 0.0703560i
\(567\) 1.38080i 0.0579881i
\(568\) −2.81505 + 1.62527i −0.118117 + 0.0681949i
\(569\) 9.68585 16.7764i 0.406052 0.703303i −0.588391 0.808576i \(-0.700238\pi\)
0.994443 + 0.105274i \(0.0335718\pi\)
\(570\) −14.6050 −0.611736
\(571\) 40.8137 + 23.5638i 1.70800 + 0.986115i 0.937033 + 0.349241i \(0.113561\pi\)
0.770968 + 0.636874i \(0.219773\pi\)
\(572\) −18.6260 + 10.7537i −0.778791 + 0.449635i
\(573\) −14.9703 + 8.64313i −0.625395 + 0.361072i
\(574\) 1.69630 + 2.93808i 0.0708021 + 0.122633i
\(575\) 24.8075i 1.03455i
\(576\) 5.96345 + 10.3290i 0.248477 + 0.430375i
\(577\) 1.48994 + 2.58065i 0.0620269 + 0.107434i 0.895371 0.445320i \(-0.146910\pi\)
−0.833344 + 0.552754i \(0.813577\pi\)
\(578\) −34.1489 6.92358i −1.42041 0.287983i
\(579\) −15.7639 + 27.3038i −0.655124 + 1.13471i
\(580\) −6.70051 −0.278223
\(581\) 6.66297i 0.276427i
\(582\) −18.2444 + 31.6003i −0.756256 + 1.30987i
\(583\) 0.332575 + 0.192012i 0.0137739 + 0.00795234i
\(584\) −3.46929 + 2.00300i −0.143560 + 0.0828846i
\(585\) −4.08356 + 2.35765i −0.168835 + 0.0974767i
\(586\) 11.2752 0.465774
\(587\) −5.77778 10.0074i −0.238474 0.413050i 0.721802 0.692099i \(-0.243314\pi\)
−0.960277 + 0.279049i \(0.909981\pi\)
\(588\) −17.2796 + 9.97636i −0.712597 + 0.411418i
\(589\) 20.7364 11.9722i 0.854429 0.493305i
\(590\) 14.3258 + 8.27100i 0.589784 + 0.340512i
\(591\) 16.5324 0.680053
\(592\) −0.225330 0.130094i −0.00926099 0.00534683i
\(593\) −14.5665 25.2299i −0.598174 1.03607i −0.993090 0.117351i \(-0.962560\pi\)
0.394916 0.918717i \(-0.370774\pi\)
\(594\) 37.0534 1.52032
\(595\) 1.91108 + 0.191781i 0.0783466 + 0.00786227i
\(596\) −10.5669 + 18.3024i −0.432838 + 0.749697i
\(597\) −14.4019 + 24.9448i −0.589431 + 1.02092i
\(598\) 44.5750i 1.82281i
\(599\) −1.22249 + 2.11742i −0.0499497 + 0.0865153i −0.889919 0.456118i \(-0.849239\pi\)
0.839970 + 0.542634i \(0.182573\pi\)
\(600\) 1.88727i 0.0770474i
\(601\) 1.62928i 0.0664597i 0.999448 + 0.0332299i \(0.0105793\pi\)
−0.999448 + 0.0332299i \(0.989421\pi\)
\(602\) −3.37362 + 3.76464i −0.137498 + 0.153435i
\(603\) −14.6422 −0.596275
\(604\) 33.7525 1.37337
\(605\) 0.705420 + 0.407275i 0.0286794 + 0.0165581i
\(606\) 46.5341i 1.89032i
\(607\) −5.98269 3.45411i −0.242830 0.140198i 0.373647 0.927571i \(-0.378107\pi\)
−0.616477 + 0.787373i \(0.711441\pi\)
\(608\) 17.6628 30.5928i 0.716320 1.24070i
\(609\) 1.05822 0.610966i 0.0428814 0.0247576i
\(610\) −26.4385 −1.07046
\(611\) −1.91487 3.31664i −0.0774672 0.134177i
\(612\) 4.67358 + 10.3656i 0.188918 + 0.419004i
\(613\) −3.18755 −0.128744 −0.0643720 0.997926i \(-0.520504\pi\)
−0.0643720 + 0.997926i \(0.520504\pi\)
\(614\) 31.3726 54.3390i 1.26610 2.19294i
\(615\) −6.23927 + 3.60224i −0.251592 + 0.145256i
\(616\) −0.249144 0.431530i −0.0100383 0.0173868i
\(617\) −5.06634 + 2.92505i −0.203963 + 0.117758i −0.598503 0.801121i \(-0.704237\pi\)
0.394540 + 0.918879i \(0.370904\pi\)
\(618\) 29.7554i 1.19694i
\(619\) −27.5773 + 15.9218i −1.10842 + 0.639949i −0.938421 0.345494i \(-0.887711\pi\)
−0.170004 + 0.985443i \(0.554378\pi\)
\(620\) 7.49795 + 12.9868i 0.301125 + 0.521564i
\(621\) −20.1172 + 34.8440i −0.807276 + 1.39824i
\(622\) −57.1804 33.0131i −2.29273 1.32371i
\(623\) 1.88008i 0.0753236i
\(624\) 14.2880i 0.571979i
\(625\) −2.17159 + 3.76131i −0.0868637 + 0.150452i
\(626\) −4.12001 2.37869i −0.164669 0.0950715i
\(627\) −9.25108 16.0233i −0.369453 0.639911i
\(628\) 14.6814 + 25.4289i 0.585852 + 1.01472i
\(629\) −0.244786 0.176095i −0.00976025 0.00702136i
\(630\) −0.598152 1.03603i −0.0238309 0.0412764i
\(631\) −1.01344 1.75532i −0.0403443 0.0698784i 0.845148 0.534532i \(-0.179512\pi\)
−0.885492 + 0.464654i \(0.846179\pi\)
\(632\) −1.53612 + 0.886878i −0.0611035 + 0.0352781i
\(633\) 18.5898 32.1984i 0.738877 1.27977i
\(634\) 46.8030i 1.85879i
\(635\) 12.8506 + 7.41929i 0.509960 + 0.294425i
\(636\) −0.300851 + 0.173696i −0.0119295 + 0.00688750i
\(637\) 20.8397 0.825700
\(638\) −8.10088 14.0311i −0.320717 0.555498i
\(639\) −8.56188 4.94320i −0.338703 0.195550i
\(640\) 3.51712 + 2.03061i 0.139026 + 0.0802669i
\(641\) 16.4316i 0.649011i −0.945884 0.324505i \(-0.894802\pi\)
0.945884 0.324505i \(-0.105198\pi\)
\(642\) 6.96608 12.0656i 0.274929 0.476192i
\(643\) 20.0547i 0.790880i 0.918492 + 0.395440i \(0.129408\pi\)
−0.918492 + 0.395440i \(0.870592\pi\)
\(644\) 5.92503 0.233479
\(645\) −7.99455 7.16418i −0.314785 0.282089i
\(646\) 21.4811 29.8604i 0.845161 1.17484i
\(647\) 29.1917 1.14765 0.573823 0.818979i \(-0.305460\pi\)
0.573823 + 0.818979i \(0.305460\pi\)
\(648\) −0.756198 + 1.30977i −0.0297063 + 0.0514527i
\(649\) 20.9560i 0.822596i
\(650\) 10.7928 18.6937i 0.423330 0.733228i
\(651\) −2.36833 1.36736i −0.0928222 0.0535909i
\(652\) −31.7733 + 18.3443i −1.24434 + 0.718419i
\(653\) 15.1519i 0.592938i −0.955043 0.296469i \(-0.904191\pi\)
0.955043 0.296469i \(-0.0958091\pi\)
\(654\) −19.0128 32.9312i −0.743461 1.28771i
\(655\) −6.93143 + 12.0056i −0.270833 + 0.469097i
\(656\) 15.6566i 0.611289i
\(657\) −10.5517 6.09204i −0.411662 0.237673i
\(658\) 0.841457 0.485815i 0.0328034 0.0189391i
\(659\) 23.5992 + 40.8750i 0.919293 + 1.59226i 0.800491 + 0.599345i \(0.204572\pi\)
0.118803 + 0.992918i \(0.462094\pi\)
\(660\) 10.0351 5.79378i 0.390617 0.225523i
\(661\) 7.59103 0.295257 0.147628 0.989043i \(-0.452836\pi\)
0.147628 + 0.989043i \(0.452836\pi\)
\(662\) 11.7456 + 20.3440i 0.456506 + 0.790692i
\(663\) −1.65344 + 16.4764i −0.0642144 + 0.639889i
\(664\) 3.64900 6.32024i 0.141608 0.245273i
\(665\) −1.01382 + 1.75599i −0.0393143 + 0.0680944i
\(666\) 0.187819i 0.00727784i
\(667\) 17.5927 0.681191
\(668\) −22.4074 12.9369i −0.866967 0.500544i
\(669\) −15.0643 8.69736i −0.582418 0.336259i
\(670\) −25.6914 + 14.8330i −0.992547 + 0.573047i
\(671\) −16.7466 29.0060i −0.646497 1.11977i
\(672\) −4.03457 −0.155637
\(673\) −13.1601 + 7.59800i −0.507286 + 0.292882i −0.731717 0.681608i \(-0.761281\pi\)
0.224431 + 0.974490i \(0.427948\pi\)
\(674\) 39.6054 22.8662i 1.52554 0.880773i
\(675\) −16.8734 + 9.74186i −0.649457 + 0.374964i
\(676\) 4.14607 7.18121i 0.159464 0.276200i
\(677\) 36.2706i 1.39399i 0.717075 + 0.696996i \(0.245481\pi\)
−0.717075 + 0.696996i \(0.754519\pi\)
\(678\) −14.8375 + 25.6993i −0.569831 + 0.986976i
\(679\) 2.53291 + 4.38713i 0.0972042 + 0.168363i
\(680\) 1.70775 + 1.22852i 0.0654891 + 0.0471118i
\(681\) 17.9657 + 31.1176i 0.688449 + 1.19243i
\(682\) −18.1300 + 31.4020i −0.694232 + 1.20245i
\(683\) 0.285852 + 0.165037i 0.0109378 + 0.00631495i 0.505459 0.862851i \(-0.331323\pi\)
−0.494521 + 0.869166i \(0.664657\pi\)
\(684\) −12.0037 −0.458973
\(685\) 0.0839073 + 0.0484439i 0.00320593 + 0.00185095i
\(686\) 10.6834i 0.407896i
\(687\) 38.4680i 1.46765i
\(688\) 22.1700 7.26145i 0.845222 0.276840i
\(689\) 0.362836 0.0138230
\(690\) 24.0157i 0.914262i
\(691\) −31.3124 18.0782i −1.19118 0.687728i −0.232606 0.972571i \(-0.574725\pi\)
−0.958574 + 0.284843i \(0.908059\pi\)
\(692\) 13.3805i 0.508650i
\(693\) 0.757762 1.31248i 0.0287850 0.0498571i
\(694\) 6.95647 + 4.01632i 0.264064 + 0.152457i
\(695\) 7.48432 + 12.9632i 0.283897 + 0.491723i
\(696\) 1.33839 0.0507315
\(697\) 1.81182 18.0546i 0.0686276 0.683866i
\(698\) 31.6001 54.7330i 1.19608 2.07167i
\(699\) −2.48456 −0.0939748
\(700\) 2.48482 + 1.43461i 0.0939175 + 0.0542233i
\(701\) −24.8710 43.0779i −0.939366 1.62703i −0.766658 0.642056i \(-0.778082\pi\)
−0.172707 0.984973i \(-0.555252\pi\)
\(702\) 30.3187 17.5045i 1.14430 0.660664i
\(703\) 0.275689 0.159169i 0.0103978 0.00600318i
\(704\) 30.6127i 1.15376i
\(705\) 1.03167 + 1.78691i 0.0388551 + 0.0672989i
\(706\) 5.24709 + 9.08823i 0.197477 + 0.342040i
\(707\) 5.59490 + 3.23022i 0.210418 + 0.121485i
\(708\) −16.4173 9.47851i −0.616999 0.356224i
\(709\) 39.0826i 1.46778i −0.679270 0.733888i \(-0.737704\pi\)
0.679270 0.733888i \(-0.262296\pi\)
\(710\) −20.0305 −0.751730
\(711\) −4.67205 2.69741i −0.175215 0.101161i
\(712\) 1.02963 1.78337i 0.0385870 0.0668346i
\(713\) −19.6864 34.0979i −0.737262 1.27698i
\(714\) −4.18017 0.419491i −0.156439 0.0156990i
\(715\) −12.1027 −0.452615
\(716\) 18.8599 + 32.6663i 0.704827 + 1.22080i
\(717\) 16.8421 9.72382i 0.628981 0.363143i
\(718\) −18.4692 31.9896i −0.689264 1.19384i
\(719\) 9.64916 + 5.57095i 0.359853 + 0.207761i 0.669016 0.743248i \(-0.266716\pi\)
−0.309163 + 0.951009i \(0.600049\pi\)
\(720\) 5.52087i 0.205751i
\(721\) 3.57756 + 2.06550i 0.133235 + 0.0769234i
\(722\) −0.0551100 0.0954532i −0.00205098 0.00355240i
\(723\) 12.5767 0.467734
\(724\) 16.2494 9.38158i 0.603903 0.348664i
\(725\) 7.37796 + 4.25967i 0.274011 + 0.158200i
\(726\) −1.54299 0.890847i −0.0572658 0.0330624i
\(727\) −39.6986 −1.47234 −0.736169 0.676798i \(-0.763367\pi\)
−0.736169 + 0.676798i \(0.763367\pi\)
\(728\) −0.407720 0.235397i −0.0151111 0.00872440i
\(729\) −26.8902 −0.995934
\(730\) −24.6857 −0.913658
\(731\) 26.4058 5.80804i 0.976654 0.214818i
\(732\) 30.2983 1.11986
\(733\) 32.4030 1.19683 0.598415 0.801186i \(-0.295797\pi\)
0.598415 + 0.801186i \(0.295797\pi\)
\(734\) 22.8711 + 13.2046i 0.844187 + 0.487391i
\(735\) −11.2278 −0.414145
\(736\) −50.3052 29.0437i −1.85427 1.07057i
\(737\) −32.5469 18.7909i −1.19888 0.692174i
\(738\) −9.78770 + 5.65093i −0.360290 + 0.208014i
\(739\) 33.2420 1.22283 0.611413 0.791312i \(-0.290601\pi\)
0.611413 + 0.791312i \(0.290601\pi\)
\(740\) 0.0996847 + 0.172659i 0.00366448 + 0.00634707i
\(741\) −15.1393 8.74065i −0.556155 0.321096i
\(742\) 0.0920542i 0.00337942i
\(743\) 20.1382 + 11.6268i 0.738800 + 0.426546i 0.821633 0.570017i \(-0.193064\pi\)
−0.0828331 + 0.996563i \(0.526397\pi\)
\(744\) −1.49767 2.59404i −0.0549073 0.0951023i
\(745\) −10.2992 + 5.94624i −0.377333 + 0.217853i
\(746\) 7.59779 + 13.1598i 0.278175 + 0.481813i
\(747\) 22.1966 0.812130
\(748\) −2.91410 + 29.0386i −0.106550 + 1.06176i
\(749\) −0.967116 1.67509i −0.0353376 0.0612066i
\(750\) −14.2033 + 24.6008i −0.518630 + 0.898294i
\(751\) 19.3912 + 11.1955i 0.707596 + 0.408531i 0.810170 0.586195i \(-0.199375\pi\)
−0.102575 + 0.994725i \(0.532708\pi\)
\(752\) −4.48402 −0.163515
\(753\) 8.71522i 0.317600i
\(754\) −13.2570 7.65391i −0.482790 0.278739i
\(755\) 16.4487 + 9.49664i 0.598628 + 0.345618i
\(756\) 2.32675 + 4.03004i 0.0846229 + 0.146571i
\(757\) −21.0806 36.5127i −0.766187 1.32708i −0.939617 0.342229i \(-0.888818\pi\)
0.173429 0.984846i \(-0.444515\pi\)
\(758\) 2.61362i 0.0949311i
\(759\) −26.3479 + 15.2120i −0.956370 + 0.552160i
\(760\) −1.92335 + 1.11044i −0.0697671 + 0.0402800i
\(761\) 2.81584 + 4.87718i 0.102074 + 0.176798i 0.912539 0.408990i \(-0.134119\pi\)
−0.810465 + 0.585787i \(0.800785\pi\)
\(762\) −28.1085 16.2285i