Properties

Label 462.2.bc.b.95.13
Level $462$
Weight $2$
Character 462.95
Analytic conductor $3.689$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.bc (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 95.13
Character \(\chi\) \(=\) 462.95
Dual form 462.2.bc.b.107.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.104528 + 0.994522i) q^{2} +(1.38347 + 1.04212i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(0.333330 - 0.748672i) q^{5} +(-1.18102 + 1.26696i) q^{6} +(-2.01015 + 1.72026i) q^{7} +(0.309017 - 0.951057i) q^{8} +(0.827988 + 2.88348i) q^{9} +O(q^{10})\) \(q+(-0.104528 + 0.994522i) q^{2} +(1.38347 + 1.04212i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(0.333330 - 0.748672i) q^{5} +(-1.18102 + 1.26696i) q^{6} +(-2.01015 + 1.72026i) q^{7} +(0.309017 - 0.951057i) q^{8} +(0.827988 + 2.88348i) q^{9} +(0.709728 + 0.409762i) q^{10} +(3.26863 - 0.562216i) q^{11} +(-1.13657 - 1.30698i) q^{12} +(-3.17222 + 4.36618i) q^{13} +(-1.50072 - 2.17895i) q^{14} +(1.24136 - 0.688398i) q^{15} +(0.913545 + 0.406737i) q^{16} +(0.578545 + 5.50449i) q^{17} +(-2.95423 + 0.522047i) q^{18} +(-0.283650 - 1.33447i) q^{19} +(-0.481704 + 0.663008i) q^{20} +(-4.57370 + 0.285126i) q^{21} +(0.217472 + 3.30949i) q^{22} +(-1.94955 + 1.12557i) q^{23} +(1.41863 - 0.993728i) q^{24} +(2.89625 + 3.21661i) q^{25} +(-4.01068 - 3.61123i) q^{26} +(-1.85942 + 4.85207i) q^{27} +(2.32388 - 1.26474i) q^{28} +(-1.93527 - 5.95615i) q^{29} +(0.554870 + 1.30651i) q^{30} +(5.27750 - 2.34969i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(5.10795 + 2.62848i) q^{33} -5.53481 q^{34} +(0.617869 + 2.07836i) q^{35} +(-0.210386 - 2.99261i) q^{36} +(4.14442 - 4.60285i) q^{37} +(1.35681 - 0.142606i) q^{38} +(-8.93874 + 2.73467i) q^{39} +(-0.609025 - 0.548368i) q^{40} +(3.35806 - 10.3350i) q^{41} +(0.194518 - 4.57845i) q^{42} +7.89449i q^{43} +(-3.31409 - 0.129655i) q^{44} +(2.43477 + 0.341258i) q^{45} +(-0.915622 - 2.05652i) q^{46} +(0.101280 + 0.476484i) q^{47} +(0.839998 + 1.51473i) q^{48} +(1.08140 - 6.91597i) q^{49} +(-3.50173 + 2.54416i) q^{50} +(-4.93592 + 8.21822i) q^{51} +(4.01068 - 3.61123i) q^{52} +(-5.29538 - 11.8936i) q^{53} +(-4.63113 - 2.35641i) q^{54} +(0.668616 - 2.63453i) q^{55} +(1.01490 + 2.44336i) q^{56} +(0.998249 - 2.14180i) q^{57} +(6.12582 - 1.30208i) q^{58} +(-0.606629 + 2.85396i) q^{59} +(-1.35736 + 0.415262i) q^{60} +(-1.10861 + 2.48998i) q^{61} +(1.78517 + 5.49419i) q^{62} +(-6.62471 - 4.37186i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(2.21144 + 3.83033i) q^{65} +(-3.14800 + 4.80521i) q^{66} +(2.35441 - 4.07795i) q^{67} +(0.578545 - 5.50449i) q^{68} +(-3.87012 - 0.474458i) q^{69} +(-2.13156 + 0.397236i) q^{70} +(2.12867 + 2.92987i) q^{71} +(2.99821 + 0.103579i) q^{72} +(0.719776 - 3.38628i) q^{73} +(4.14442 + 4.60285i) q^{74} +(0.654798 + 7.46833i) q^{75} +1.36428i q^{76} +(-5.60327 + 6.75303i) q^{77} +(-1.78534 - 9.17563i) q^{78} +(10.1418 + 1.06594i) q^{79} +(0.609025 - 0.548368i) q^{80} +(-7.62887 + 4.77497i) q^{81} +(9.92741 + 4.41997i) q^{82} +(-7.40963 + 5.38341i) q^{83} +(4.53303 + 0.672030i) q^{84} +(4.31390 + 1.40167i) q^{85} +(-7.85124 - 0.825199i) q^{86} +(3.52961 - 10.2569i) q^{87} +(0.475362 - 3.28238i) q^{88} +(5.82848 - 3.36507i) q^{89} +(-0.593892 + 2.38576i) q^{90} +(-1.13435 - 14.2337i) q^{91} +(2.14096 - 0.695641i) q^{92} +(9.74992 + 2.24903i) q^{93} +(-0.484461 + 0.0509189i) q^{94} +(-1.09363 - 0.232458i) q^{95} +(-1.59423 + 0.677064i) q^{96} +(4.17913 + 3.03631i) q^{97} +(6.76504 + 1.79839i) q^{98} +(4.32752 + 8.95950i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + 16q^{2} + 16q^{4} - 32q^{8} + 16q^{9} + O(q^{10}) \) \( 128q + 16q^{2} + 16q^{4} - 32q^{8} + 16q^{9} - 6q^{11} - 12q^{15} + 16q^{16} - 2q^{17} - 4q^{18} + 2q^{22} - 12q^{25} - 18q^{27} - 5q^{28} + 38q^{29} + 6q^{30} - 3q^{31} - 64q^{32} + 28q^{33} - 16q^{34} - 31q^{35} + 8q^{36} + 2q^{37} - 2q^{39} + 5q^{40} + 16q^{41} - 13q^{42} - q^{44} + 28q^{45} + 38q^{49} + 34q^{50} + 4q^{51} + 25q^{53} - 6q^{54} - 42q^{55} - 100q^{57} - 19q^{58} + 40q^{59} - 4q^{60} + 40q^{61} - 4q^{62} - 106q^{63} - 32q^{64} + 20q^{65} - 7q^{66} + 16q^{67} - 2q^{68} - 68q^{69} - 21q^{70} + 80q^{71} - 4q^{72} + 10q^{73} + 2q^{74} - 14q^{75} + q^{77} - 16q^{78} - 5q^{80} + 32q^{81} - 8q^{82} - 92q^{83} + 8q^{84} - 100q^{85} - 40q^{86} - 38q^{87} - q^{88} + 4q^{90} + 12q^{91} - 20q^{92} - 33q^{93} + 40q^{94} + 38q^{95} - 16q^{97} + 18q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{7}{10}\right)\)

Coefficient data

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.104528 + 0.994522i −0.0739128 + 0.703233i
\(3\) 1.38347 + 1.04212i 0.798748 + 0.601666i
\(4\) −0.978148 0.207912i −0.489074 0.103956i
\(5\) 0.333330 0.748672i 0.149070 0.334816i −0.823541 0.567257i \(-0.808005\pi\)
0.972611 + 0.232441i \(0.0746712\pi\)
\(6\) −1.18102 + 1.26696i −0.482149 + 0.517235i
\(7\) −2.01015 + 1.72026i −0.759765 + 0.650198i
\(8\) 0.309017 0.951057i 0.109254 0.336249i
\(9\) 0.827988 + 2.88348i 0.275996 + 0.961159i
\(10\) 0.709728 + 0.409762i 0.224436 + 0.129578i
\(11\) 3.26863 0.562216i 0.985528 0.169514i
\(12\) −1.13657 1.30698i −0.328100 0.377294i
\(13\) −3.17222 + 4.36618i −0.879815 + 1.21096i 0.0966573 + 0.995318i \(0.469185\pi\)
−0.976472 + 0.215644i \(0.930815\pi\)
\(14\) −1.50072 2.17895i −0.401084 0.582350i
\(15\) 1.24136 0.688398i 0.320517 0.177744i
\(16\) 0.913545 + 0.406737i 0.228386 + 0.101684i
\(17\) 0.578545 + 5.50449i 0.140318 + 1.33503i 0.807380 + 0.590032i \(0.200885\pi\)
−0.667062 + 0.745002i \(0.732448\pi\)
\(18\) −2.95423 + 0.522047i −0.696318 + 0.123048i
\(19\) −0.283650 1.33447i −0.0650738 0.306148i 0.933559 0.358424i \(-0.116686\pi\)
−0.998633 + 0.0522760i \(0.983352\pi\)
\(20\) −0.481704 + 0.663008i −0.107712 + 0.148253i
\(21\) −4.57370 + 0.285126i −0.998062 + 0.0622195i
\(22\) 0.217472 + 3.30949i 0.0463651 + 0.705585i
\(23\) −1.94955 + 1.12557i −0.406508 + 0.234698i −0.689288 0.724487i \(-0.742077\pi\)
0.282780 + 0.959185i \(0.408743\pi\)
\(24\) 1.41863 0.993728i 0.289576 0.202844i
\(25\) 2.89625 + 3.21661i 0.579250 + 0.643323i
\(26\) −4.01068 3.61123i −0.786559 0.708221i
\(27\) −1.85942 + 4.85207i −0.357845 + 0.933781i
\(28\) 2.32388 1.26474i 0.439173 0.239013i
\(29\) −1.93527 5.95615i −0.359371 1.10603i −0.953432 0.301610i \(-0.902476\pi\)
0.594061 0.804420i \(-0.297524\pi\)
\(30\) 0.554870 + 1.30651i 0.101305 + 0.238536i
\(31\) 5.27750 2.34969i 0.947866 0.422017i 0.126212 0.992003i \(-0.459718\pi\)
0.821654 + 0.569986i \(0.193051\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) 5.10795 + 2.62848i 0.889179 + 0.457559i
\(34\) −5.53481 −0.949212
\(35\) 0.617869 + 2.07836i 0.104439 + 0.351306i
\(36\) −0.210386 2.99261i −0.0350644 0.498769i
\(37\) 4.14442 4.60285i 0.681338 0.756703i −0.298951 0.954268i \(-0.596637\pi\)
0.980290 + 0.197565i \(0.0633035\pi\)
\(38\) 1.35681 0.142606i 0.220103 0.0231338i
\(39\) −8.93874 + 2.73467i −1.43134 + 0.437898i
\(40\) −0.609025 0.548368i −0.0962952 0.0867046i
\(41\) 3.35806 10.3350i 0.524440 1.61406i −0.240979 0.970530i \(-0.577469\pi\)
0.765420 0.643531i \(-0.222531\pi\)
\(42\) 0.194518 4.57845i 0.0300147 0.706469i
\(43\) 7.89449i 1.20390i 0.798534 + 0.601949i \(0.205609\pi\)
−0.798534 + 0.601949i \(0.794391\pi\)
\(44\) −3.31409 0.129655i −0.499618 0.0195463i
\(45\) 2.43477 + 0.341258i 0.362954 + 0.0508718i
\(46\) −0.915622 2.05652i −0.135001 0.303217i
\(47\) 0.101280 + 0.476484i 0.0147732 + 0.0695024i 0.984917 0.173029i \(-0.0553555\pi\)
−0.970144 + 0.242532i \(0.922022\pi\)
\(48\) 0.839998 + 1.51473i 0.121243 + 0.218632i
\(49\) 1.08140 6.91597i 0.154485 0.987995i
\(50\) −3.50173 + 2.54416i −0.495220 + 0.359798i
\(51\) −4.93592 + 8.21822i −0.691166 + 1.15078i
\(52\) 4.01068 3.61123i 0.556181 0.500788i
\(53\) −5.29538 11.8936i −0.727377 1.63371i −0.772723 0.634743i \(-0.781106\pi\)
0.0453466 0.998971i \(-0.485561\pi\)
\(54\) −4.63113 2.35641i −0.630216 0.320667i
\(55\) 0.668616 2.63453i 0.0901562 0.355240i
\(56\) 1.01490 + 2.44336i 0.135621 + 0.326507i
\(57\) 0.998249 2.14180i 0.132221 0.283688i
\(58\) 6.12582 1.30208i 0.804359 0.170972i
\(59\) −0.606629 + 2.85396i −0.0789764 + 0.371555i −0.999832 0.0183500i \(-0.994159\pi\)
0.920855 + 0.389905i \(0.127492\pi\)
\(60\) −1.35736 + 0.415262i −0.175234 + 0.0536101i
\(61\) −1.10861 + 2.48998i −0.141943 + 0.318809i −0.970502 0.241092i \(-0.922494\pi\)
0.828559 + 0.559901i \(0.189161\pi\)
\(62\) 1.78517 + 5.49419i 0.226717 + 0.697763i
\(63\) −6.62471 4.37186i −0.834636 0.550803i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) 2.21144 + 3.83033i 0.274296 + 0.475094i
\(66\) −3.14800 + 4.80521i −0.387492 + 0.591481i
\(67\) 2.35441 4.07795i 0.287636 0.498201i −0.685609 0.727970i \(-0.740464\pi\)
0.973245 + 0.229769i \(0.0737972\pi\)
\(68\) 0.578545 5.50449i 0.0701589 0.667517i
\(69\) −3.87012 0.474458i −0.465907 0.0571180i
\(70\) −2.13156 + 0.397236i −0.254770 + 0.0474788i
\(71\) 2.12867 + 2.92987i 0.252627 + 0.347711i 0.916429 0.400197i \(-0.131058\pi\)
−0.663802 + 0.747908i \(0.731058\pi\)
\(72\) 2.99821 + 0.103579i 0.353343 + 0.0122070i
\(73\) 0.719776 3.38628i 0.0842435 0.396334i −0.915742 0.401767i \(-0.868396\pi\)
0.999985 + 0.00543304i \(0.00172940\pi\)
\(74\) 4.14442 + 4.60285i 0.481779 + 0.535070i
\(75\) 0.654798 + 7.46833i 0.0756096 + 0.862368i
\(76\) 1.36428i 0.156494i
\(77\) −5.60327 + 6.75303i −0.638551 + 0.769579i
\(78\) −1.78534 9.17563i −0.202150 1.03894i
\(79\) 10.1418 + 1.06594i 1.14104 + 0.119928i 0.656137 0.754642i \(-0.272189\pi\)
0.484900 + 0.874570i \(0.338856\pi\)
\(80\) 0.609025 0.548368i 0.0680910 0.0613094i
\(81\) −7.62887 + 4.77497i −0.847652 + 0.530552i
\(82\) 9.92741 + 4.41997i 1.09630 + 0.488104i
\(83\) −7.40963 + 5.38341i −0.813312 + 0.590906i −0.914789 0.403932i \(-0.867643\pi\)
0.101477 + 0.994838i \(0.467643\pi\)
\(84\) 4.53303 + 0.672030i 0.494594 + 0.0733245i
\(85\) 4.31390 + 1.40167i 0.467908 + 0.152033i
\(86\) −7.85124 0.825199i −0.846621 0.0889835i
\(87\) 3.52961 10.2569i 0.378414 1.09966i
\(88\) 0.475362 3.28238i 0.0506737 0.349903i
\(89\) 5.82848 3.36507i 0.617818 0.356697i −0.158201 0.987407i \(-0.550569\pi\)
0.776019 + 0.630710i \(0.217236\pi\)
\(90\) −0.593892 + 2.38576i −0.0626017 + 0.251481i
\(91\) −1.13435 14.2337i −0.118912 1.49210i
\(92\) 2.14096 0.695641i 0.223211 0.0725256i
\(93\) 9.74992 + 2.24903i 1.01102 + 0.233214i
\(94\) −0.484461 + 0.0509189i −0.0499683 + 0.00525188i
\(95\) −1.09363 0.232458i −0.112204 0.0238497i
\(96\) −1.59423 + 0.677064i −0.162711 + 0.0691025i
\(97\) 4.17913 + 3.03631i 0.424326 + 0.308291i 0.779376 0.626556i \(-0.215536\pi\)
−0.355050 + 0.934847i \(0.615536\pi\)
\(98\) 6.76504 + 1.79839i 0.683372 + 0.181665i
\(99\) 4.32752 + 8.95950i 0.434932 + 0.900463i
\(100\) −2.16419 3.74849i −0.216419 0.374849i
\(101\) 13.9380 6.20560i 1.38688 0.617480i 0.428650 0.903471i \(-0.358989\pi\)
0.958232 + 0.285991i \(0.0923227\pi\)
\(102\) −7.65725 5.76791i −0.758181 0.571109i
\(103\) −1.48077 + 1.64456i −0.145905 + 0.162044i −0.811667 0.584120i \(-0.801440\pi\)
0.665763 + 0.746164i \(0.268106\pi\)
\(104\) 3.17222 + 4.36618i 0.311062 + 0.428139i
\(105\) −1.31109 + 3.51924i −0.127949 + 0.343443i
\(106\) 12.3820 4.02315i 1.20264 0.390763i
\(107\) 11.5667 2.45858i 1.11820 0.237680i 0.388499 0.921449i \(-0.372994\pi\)
0.729699 + 0.683769i \(0.239660\pi\)
\(108\) 2.82759 4.35944i 0.272085 0.419488i
\(109\) −6.24870 3.60769i −0.598517 0.345554i 0.169941 0.985454i \(-0.445642\pi\)
−0.768458 + 0.639900i \(0.778976\pi\)
\(110\) 2.55021 + 0.940337i 0.243153 + 0.0896576i
\(111\) 10.5304 2.04894i 0.999500 0.194477i
\(112\) −2.53606 + 0.753936i −0.239635 + 0.0712403i
\(113\) −11.7571 3.82011i −1.10601 0.359365i −0.301599 0.953435i \(-0.597520\pi\)
−0.804414 + 0.594069i \(0.797520\pi\)
\(114\) 2.02572 + 1.21666i 0.189726 + 0.113951i
\(115\) 0.192841 + 1.83476i 0.0179825 + 0.171092i
\(116\) 0.654627 + 6.22836i 0.0607806 + 0.578289i
\(117\) −15.2163 5.53187i −1.40675 0.511421i
\(118\) −2.77492 0.901626i −0.255452 0.0830014i
\(119\) −10.6321 10.0696i −0.974645 0.923078i
\(120\) −0.271105 1.39333i −0.0247484 0.127193i
\(121\) 10.3678 3.67535i 0.942530 0.334122i
\(122\) −2.36046 1.36281i −0.213706 0.123383i
\(123\) 15.4161 10.7987i 1.39002 0.973690i
\(124\) −5.65070 + 1.20109i −0.507448 + 0.107861i
\(125\) 7.27066 2.36238i 0.650308 0.211298i
\(126\) 5.04038 6.13144i 0.449033 0.546232i
\(127\) −3.83348 5.27633i −0.340166 0.468198i 0.604324 0.796739i \(-0.293443\pi\)
−0.944490 + 0.328540i \(0.893443\pi\)
\(128\) 0.669131 0.743145i 0.0591433 0.0656853i
\(129\) −8.22698 + 10.9218i −0.724345 + 0.961611i
\(130\) −4.04051 + 1.79895i −0.354376 + 0.157778i
\(131\) 10.9098 + 18.8963i 0.953193 + 1.65098i 0.738450 + 0.674308i \(0.235558\pi\)
0.214743 + 0.976671i \(0.431109\pi\)
\(132\) −4.44983 3.63304i −0.387308 0.316216i
\(133\) 2.86581 + 2.19453i 0.248498 + 0.190290i
\(134\) 3.80951 + 2.76777i 0.329091 + 0.239099i
\(135\) 3.01281 + 3.00944i 0.259301 + 0.259011i
\(136\) 5.41386 + 1.15075i 0.464235 + 0.0986761i
\(137\) 7.20162 0.756920i 0.615276 0.0646681i 0.208236 0.978079i \(-0.433228\pi\)
0.407040 + 0.913411i \(0.366561\pi\)
\(138\) 0.876396 3.79932i 0.0746038 0.323420i
\(139\) −20.5836 + 6.68803i −1.74588 + 0.567271i −0.995588 0.0938343i \(-0.970088\pi\)
−0.750293 + 0.661105i \(0.770088\pi\)
\(140\) −0.172252 2.16140i −0.0145579 0.182672i
\(141\) −0.356434 + 0.764748i −0.0300172 + 0.0644034i
\(142\) −3.13632 + 1.81076i −0.263195 + 0.151955i
\(143\) −7.91405 + 16.0549i −0.661806 + 1.34258i
\(144\) −0.416411 + 2.97096i −0.0347009 + 0.247580i
\(145\) −5.10429 0.536482i −0.423888 0.0445524i
\(146\) 3.29249 + 1.06980i 0.272489 + 0.0885370i
\(147\) 8.70332 8.44110i 0.717838 0.696210i
\(148\) −5.01084 + 3.64059i −0.411889 + 0.299255i
\(149\) −6.03743 2.68804i −0.494606 0.220213i 0.144247 0.989542i \(-0.453924\pi\)
−0.638853 + 0.769329i \(0.720591\pi\)
\(150\) −7.49586 0.129441i −0.612034 0.0105689i
\(151\) 13.4063 12.0711i 1.09099 0.982330i 0.0910788 0.995844i \(-0.470968\pi\)
0.999909 + 0.0135142i \(0.00430182\pi\)
\(152\) −1.35681 0.142606i −0.110052 0.0115669i
\(153\) −15.3930 + 6.22587i −1.24445 + 0.503332i
\(154\) −6.13034 6.27845i −0.493997 0.505932i
\(155\) 4.73434i 0.380271i
\(156\) 9.31198 0.816444i 0.745555 0.0653678i
\(157\) 9.03791 + 10.0376i 0.721304 + 0.801089i 0.986614 0.163074i \(-0.0521409\pi\)
−0.265310 + 0.964163i \(0.585474\pi\)
\(158\) −2.12020 + 9.97477i −0.168674 + 0.793550i
\(159\) 5.06852 21.9729i 0.401960 1.74256i
\(160\) 0.481704 + 0.663008i 0.0380820 + 0.0524154i
\(161\) 1.98260 5.61629i 0.156251 0.442626i
\(162\) −3.95138 8.08620i −0.310450 0.635312i
\(163\) 0.747732 7.11419i 0.0585669 0.557227i −0.925415 0.378956i \(-0.876283\pi\)
0.983982 0.178270i \(-0.0570502\pi\)
\(164\) −5.43345 + 9.41101i −0.424281 + 0.734877i
\(165\) 3.67050 2.94802i 0.285748 0.229503i
\(166\) −4.57940 7.93176i −0.355431 0.615624i
\(167\) 0.591761 + 0.429939i 0.0457918 + 0.0332697i 0.610446 0.792058i \(-0.290990\pi\)
−0.564654 + 0.825328i \(0.690990\pi\)
\(168\) −1.14218 + 4.43795i −0.0881211 + 0.342396i
\(169\) −4.98337 15.3372i −0.383336 1.17979i
\(170\) −1.84492 + 4.14376i −0.141499 + 0.317812i
\(171\) 3.61305 1.92282i 0.276297 0.147042i
\(172\) 1.64136 7.72198i 0.125152 0.588795i
\(173\) −16.0384 + 3.40908i −1.21938 + 0.259187i −0.772272 0.635292i \(-0.780880\pi\)
−0.447109 + 0.894480i \(0.647546\pi\)
\(174\) 9.83181 + 4.58242i 0.745348 + 0.347392i
\(175\) −11.3553 1.48356i −0.858381 0.112147i
\(176\) 3.21471 + 0.815860i 0.242318 + 0.0614978i
\(177\) −3.81342 + 3.31620i −0.286634 + 0.249261i
\(178\) 2.73740 + 6.14830i 0.205177 + 0.460834i
\(179\) 18.7330 16.8672i 1.40017 1.26072i 0.475618 0.879652i \(-0.342224\pi\)
0.924549 0.381064i \(-0.124442\pi\)
\(180\) −2.31061 0.840018i −0.172223 0.0626113i
\(181\) 6.22315 4.52139i 0.462563 0.336072i −0.331973 0.943289i \(-0.607714\pi\)
0.794536 + 0.607217i \(0.207714\pi\)
\(182\) 14.2743 + 0.359694i 1.05808 + 0.0266623i
\(183\) −4.12858 + 2.28952i −0.305193 + 0.169246i
\(184\) 0.468039 + 2.20195i 0.0345043 + 0.162330i
\(185\) −2.06456 4.63708i −0.151789 0.340925i
\(186\) −3.25585 + 9.46142i −0.238731 + 0.693745i
\(187\) 4.98576 + 17.6668i 0.364595 + 1.29193i
\(188\) 0.487129i 0.0355275i
\(189\) −4.60912 12.9521i −0.335264 0.942124i
\(190\) 0.345500 1.06334i 0.0250652 0.0771427i
\(191\) −6.46030 5.81688i −0.467451 0.420895i 0.401450 0.915881i \(-0.368506\pi\)
−0.868901 + 0.494986i \(0.835173\pi\)
\(192\) −0.506712 1.65627i −0.0365688 0.119531i
\(193\) 2.61720 0.275079i 0.188390 0.0198006i −0.00986337 0.999951i \(-0.503140\pi\)
0.198254 + 0.980151i \(0.436473\pi\)
\(194\) −3.45652 + 3.83885i −0.248163 + 0.275613i
\(195\) −0.932181 + 7.60373i −0.0667549 + 0.544515i
\(196\) −2.49568 + 6.54000i −0.178263 + 0.467143i
\(197\) −14.5091 −1.03373 −0.516866 0.856066i \(-0.672901\pi\)
−0.516866 + 0.856066i \(0.672901\pi\)
\(198\) −9.36276 + 3.36729i −0.665383 + 0.239303i
\(199\) −5.00511 + 8.66910i −0.354803 + 0.614536i −0.987084 0.160202i \(-0.948785\pi\)
0.632281 + 0.774739i \(0.282119\pi\)
\(200\) 3.95417 1.76051i 0.279602 0.124487i
\(201\) 7.50695 3.18817i 0.529500 0.224876i
\(202\) 4.71468 + 14.5103i 0.331724 + 1.02094i
\(203\) 14.1363 + 8.64358i 0.992176 + 0.606660i
\(204\) 6.53672 7.01239i 0.457662 0.490966i
\(205\) −6.61821 5.95906i −0.462236 0.416199i
\(206\) −1.48077 1.64456i −0.103170 0.114582i
\(207\) −4.85976 4.68951i −0.337777 0.325943i
\(208\) −4.67385 + 2.69845i −0.324073 + 0.187104i
\(209\) −1.67740 4.20240i −0.116029 0.290686i
\(210\) −3.36291 1.67176i −0.232063 0.115363i
\(211\) −14.1618 + 19.4920i −0.974938 + 1.34189i −0.0354260 + 0.999372i \(0.511279\pi\)
−0.939512 + 0.342515i \(0.888721\pi\)
\(212\) 2.70684 + 12.7347i 0.185907 + 0.874622i
\(213\) −0.108302 + 6.27171i −0.00742076 + 0.429731i
\(214\) 1.23606 + 11.7604i 0.0844956 + 0.803922i
\(215\) 5.91038 + 2.63147i 0.403085 + 0.179465i
\(216\) 4.04000 + 3.26778i 0.274887 + 0.222345i
\(217\) −6.56646 + 13.8019i −0.445761 + 0.936934i
\(218\) 4.24109 5.83736i 0.287243 0.395356i
\(219\) 4.52469 3.93473i 0.305750 0.265885i
\(220\) −1.20176 + 2.43795i −0.0810223 + 0.164366i
\(221\) −25.8689 14.9354i −1.74013 1.00466i
\(222\) 0.936990 + 10.6869i 0.0628866 + 0.717256i
\(223\) −5.39133 + 16.5928i −0.361030 + 1.11114i 0.591400 + 0.806378i \(0.298575\pi\)
−0.952430 + 0.304758i \(0.901425\pi\)
\(224\) −0.484716 2.60097i −0.0323865 0.173785i
\(225\) −6.87697 + 11.0146i −0.458465 + 0.734306i
\(226\) 5.02813 11.2934i 0.334466 0.751223i
\(227\) −13.5237 2.87456i −0.897601 0.190791i −0.264065 0.964505i \(-0.585064\pi\)
−0.633535 + 0.773714i \(0.718397\pi\)
\(228\) −1.42174 + 1.88744i −0.0941570 + 0.124999i
\(229\) −1.22865 + 11.6898i −0.0811915 + 0.772486i 0.875860 + 0.482566i \(0.160295\pi\)
−0.957051 + 0.289920i \(0.906371\pi\)
\(230\) −1.84486 −0.121647
\(231\) −14.7894 + 3.50337i −0.973071 + 0.230505i
\(232\) −6.26267 −0.411164
\(233\) 2.01977 19.2169i 0.132320 1.25894i −0.703802 0.710396i \(-0.748516\pi\)
0.836122 0.548543i \(-0.184817\pi\)
\(234\) 7.09210 14.5548i 0.463625 0.951474i
\(235\) 0.390490 + 0.0830012i 0.0254728 + 0.00541440i
\(236\) 1.18675 2.66547i 0.0772505 0.173508i
\(237\) 12.9200 + 12.0436i 0.839244 + 0.782315i
\(238\) 11.1258 9.52132i 0.721178 0.617176i
\(239\) −3.70446 + 11.4011i −0.239621 + 0.737479i 0.756853 + 0.653585i \(0.226736\pi\)
−0.996475 + 0.0838939i \(0.973264\pi\)
\(240\) 1.41403 0.123978i 0.0912754 0.00800272i
\(241\) 9.19652 + 5.30961i 0.592400 + 0.342022i 0.766046 0.642786i \(-0.222222\pi\)
−0.173646 + 0.984808i \(0.555555\pi\)
\(242\) 2.57148 + 10.6952i 0.165301 + 0.687514i
\(243\) −15.5304 1.34413i −0.996276 0.0862262i
\(244\) 1.60208 2.20507i 0.102563 0.141165i
\(245\) −4.81733 3.11491i −0.307768 0.199004i
\(246\) 9.12817 + 16.4604i 0.581991 + 1.04948i
\(247\) 6.72633 + 2.99476i 0.427986 + 0.190552i
\(248\) −0.603854 5.74529i −0.0383448 0.364826i
\(249\) −15.8612 0.273897i −1.00516 0.0173575i
\(250\) 1.58945 + 7.47777i 0.100526 + 0.472936i
\(251\) 0.290555 0.399915i 0.0183397 0.0252424i −0.799749 0.600335i \(-0.795034\pi\)
0.818088 + 0.575093i \(0.195034\pi\)
\(252\) 5.57099 + 5.65368i 0.350939 + 0.356148i
\(253\) −5.73952 + 4.77514i −0.360841 + 0.300210i
\(254\) 5.64813 3.26095i 0.354395 0.204610i
\(255\) 4.50746 + 6.43476i 0.282268 + 0.402960i
\(256\) 0.669131 + 0.743145i 0.0418207 + 0.0464466i
\(257\) −4.50621 4.05741i −0.281090 0.253095i 0.516510 0.856281i \(-0.327231\pi\)
−0.797600 + 0.603186i \(0.793897\pi\)
\(258\) −10.0020 9.32355i −0.622699 0.580459i
\(259\) −0.412802 + 16.3819i −0.0256502 + 1.01792i
\(260\) −1.36675 4.20641i −0.0847620 0.260871i
\(261\) 15.5720 10.5119i 0.963885 0.650672i
\(262\) −19.9332 + 8.87483i −1.23148 + 0.548289i
\(263\) −7.85828 + 13.6109i −0.484562 + 0.839287i −0.999843 0.0177350i \(-0.994354\pi\)
0.515280 + 0.857022i \(0.327688\pi\)
\(264\) 4.07827 4.04570i 0.251000 0.248996i
\(265\) −10.6695 −0.655424
\(266\) −2.48206 + 2.62072i −0.152185 + 0.160687i
\(267\) 11.5703 + 1.41847i 0.708093 + 0.0868088i
\(268\) −3.15081 + 3.49933i −0.192466 + 0.213756i
\(269\) −19.3123 + 2.02980i −1.17749 + 0.123759i −0.672989 0.739652i \(-0.734990\pi\)
−0.504501 + 0.863411i \(0.668323\pi\)
\(270\) −3.30787 + 2.68173i −0.201311 + 0.163205i
\(271\) 0.997419 + 0.898080i 0.0605889 + 0.0545545i 0.698869 0.715250i \(-0.253687\pi\)
−0.638280 + 0.769804i \(0.720354\pi\)
\(272\) −1.71035 + 5.26392i −0.103705 + 0.319172i
\(273\) 13.2639 20.8741i 0.802765 1.26336i
\(274\) 7.24129i 0.437462i
\(275\) 11.2752 + 8.88559i 0.679920 + 0.535821i
\(276\) 3.68690 + 1.26873i 0.221925 + 0.0763687i
\(277\) −4.26795 9.58596i −0.256436 0.575965i 0.738749 0.673981i \(-0.235417\pi\)
−0.995185 + 0.0980161i \(0.968750\pi\)
\(278\) −4.49981 21.1700i −0.269881 1.26969i
\(279\) 11.1450 + 13.2720i 0.667233 + 0.794575i
\(280\) 2.16757 + 0.0546198i 0.129537 + 0.00326416i
\(281\) −2.46866 + 1.79359i −0.147268 + 0.106997i −0.658980 0.752161i \(-0.729012\pi\)
0.511712 + 0.859157i \(0.329012\pi\)
\(282\) −0.723301 0.434419i −0.0430719 0.0258693i
\(283\) −1.18492 + 1.06691i −0.0704363 + 0.0634211i −0.703597 0.710599i \(-0.748424\pi\)
0.633161 + 0.774020i \(0.281757\pi\)
\(284\) −1.47300 3.30842i −0.0874067 0.196319i
\(285\) −1.27076 1.46129i −0.0752731 0.0865591i
\(286\) −15.1397 9.54889i −0.895229 0.564638i
\(287\) 11.0288 + 26.5517i 0.651008 + 1.56730i
\(288\) −2.91116 0.724679i −0.171542 0.0427021i
\(289\) −13.3362 + 2.83469i −0.784481 + 0.166747i
\(290\) 1.06709 5.02025i 0.0626615 0.294799i
\(291\) 2.61751 + 8.55579i 0.153441 + 0.501549i
\(292\) −1.40810 + 3.16263i −0.0824025 + 0.185079i
\(293\) −4.76787 14.6740i −0.278542 0.857264i −0.988260 0.152779i \(-0.951178\pi\)
0.709718 0.704486i \(-0.248822\pi\)
\(294\) 7.48512 + 9.53798i 0.436541 + 0.556266i
\(295\) 1.93448 + 1.40548i 0.112630 + 0.0818301i
\(296\) −3.09687 5.36394i −0.180002 0.311772i
\(297\) −3.34983 + 16.9050i −0.194377 + 0.980927i
\(298\) 3.30440 5.72338i 0.191418 0.331547i
\(299\) 1.26994 12.0826i 0.0734423 0.698757i
\(300\) 0.912263 7.44127i 0.0526695 0.429622i
\(301\) −13.5806 15.8691i −0.782772 0.914680i
\(302\) 10.6036 + 14.5946i 0.610169 + 0.839825i
\(303\) 25.7498 + 5.93974i 1.47929 + 0.341229i
\(304\) 0.283650 1.33447i 0.0162684 0.0765370i
\(305\) 1.49464 + 1.65997i 0.0855831 + 0.0950496i
\(306\) −4.58276 15.9595i −0.261979 0.912343i
\(307\) 22.7875i 1.30055i −0.759699 0.650275i \(-0.774654\pi\)
0.759699 0.650275i \(-0.225346\pi\)
\(308\) 6.88485 5.44048i 0.392301 0.310000i
\(309\) −3.76243 + 0.732071i −0.214037 + 0.0416461i
\(310\) 4.70840 + 0.494873i 0.267419 + 0.0281069i
\(311\) −7.79971 + 7.02289i −0.442281 + 0.398231i −0.859959 0.510364i \(-0.829511\pi\)
0.417678 + 0.908595i \(0.362844\pi\)
\(312\) −0.161396 + 9.34631i −0.00913724 + 0.529131i
\(313\) −20.1622 8.97678i −1.13963 0.507398i −0.251899 0.967753i \(-0.581055\pi\)
−0.887735 + 0.460356i \(0.847722\pi\)
\(314\) −10.9274 + 7.93919i −0.616666 + 0.448034i
\(315\) −5.48131 + 3.50246i −0.308837 + 0.197342i
\(316\) −9.69851 3.15124i −0.545584 0.177271i
\(317\) −23.8951 2.51147i −1.34208 0.141058i −0.593893 0.804544i \(-0.702410\pi\)
−0.748189 + 0.663486i \(0.769076\pi\)
\(318\) 21.3227 + 7.33755i 1.19572 + 0.411469i
\(319\) −9.67432 18.3804i −0.541658 1.02910i
\(320\) −0.709728 + 0.409762i −0.0396750 + 0.0229064i
\(321\) 18.5644 + 8.65249i 1.03616 + 0.482935i
\(322\) 5.37829 + 2.55880i 0.299720 + 0.142596i
\(323\) 7.18146 2.33340i 0.399587 0.129834i
\(324\) 8.45493 3.08449i 0.469719 0.171361i
\(325\) −23.2319 + 2.44177i −1.28867 + 0.135445i
\(326\) 6.99706 + 1.48727i 0.387531 + 0.0823723i
\(327\) −4.88527 11.5030i −0.270156 0.636118i
\(328\) −8.79151 6.38740i −0.485430 0.352685i
\(329\) −1.02327 0.783576i −0.0564144 0.0432000i
\(330\) 2.54820 + 3.95854i 0.140274 + 0.217911i
\(331\) −1.32492 2.29483i −0.0728242 0.126135i 0.827314 0.561740i \(-0.189868\pi\)
−0.900138 + 0.435605i \(0.856535\pi\)
\(332\) 8.36698 3.72522i 0.459198 0.204448i
\(333\) 16.7037 + 8.13924i 0.915359 + 0.446027i
\(334\) −0.489440 + 0.543578i −0.0267810 + 0.0297433i
\(335\) −2.26825 3.12198i −0.123928 0.170572i
\(336\) −4.29425 1.59981i −0.234271 0.0872771i
\(337\) 11.2086 3.64189i 0.610570 0.198386i 0.0126209 0.999920i \(-0.495983\pi\)
0.597949 + 0.801534i \(0.295983\pi\)
\(338\) 15.7741 3.35289i 0.857999 0.182373i
\(339\) −12.2846 17.5373i −0.667208 0.952493i
\(340\) −3.92821 2.26795i −0.213037 0.122997i
\(341\) 15.9291 10.6474i 0.862610 0.576587i
\(342\) 1.53462 + 3.79425i 0.0829829 + 0.205169i
\(343\) 9.72351 + 15.7624i 0.525020 + 0.851090i
\(344\) 7.50811 + 2.43953i 0.404810 + 0.131531i
\(345\) −1.64524 + 2.73930i −0.0885767 + 0.147479i
\(346\) −1.71393 16.3069i −0.0921413 0.876666i
\(347\) −1.08634 10.3358i −0.0583177 0.554856i −0.984202 0.177049i \(-0.943345\pi\)
0.925884 0.377807i \(-0.123322\pi\)
\(348\) −5.58502 + 9.29896i −0.299388 + 0.498477i
\(349\) 5.57527 + 1.81152i 0.298438 + 0.0969682i 0.454409 0.890793i \(-0.349851\pi\)
−0.155971 + 0.987762i \(0.549851\pi\)
\(350\) 2.66239 11.1380i 0.142311 0.595353i
\(351\) −15.2865 23.5104i −0.815935 1.25489i
\(352\) −1.14742 + 3.11182i −0.0611577 + 0.165861i
\(353\) 24.6487 + 14.2309i 1.31192 + 0.757436i 0.982413 0.186719i \(-0.0597853\pi\)
0.329503 + 0.944154i \(0.393119\pi\)
\(354\) −2.89942 4.13916i −0.154103 0.219994i
\(355\) 2.90306 0.617065i 0.154078 0.0327504i
\(356\) −6.40075 + 2.07973i −0.339239 + 0.110226i
\(357\) −4.21556 25.0109i −0.223111 1.32372i
\(358\) 14.8167 + 20.3934i 0.783087 + 1.07783i
\(359\) 2.01803 2.24125i 0.106508 0.118289i −0.687534 0.726153i \(-0.741307\pi\)
0.794041 + 0.607864i \(0.207973\pi\)
\(360\) 1.07694 2.21015i 0.0567598 0.116485i
\(361\) 15.6570 6.97095i 0.824053 0.366892i
\(362\) 3.84612 + 6.66168i 0.202148 + 0.350130i
\(363\) 18.1737 + 5.71974i 0.953874 + 0.300208i
\(364\) −1.84980 + 14.1585i −0.0969557 + 0.742108i
\(365\) −2.29529 1.66763i −0.120141 0.0872875i
\(366\) −1.84542 4.34528i −0.0964616 0.227131i
\(367\) −10.2044 2.16902i −0.532666 0.113222i −0.0662769 0.997801i \(-0.521112\pi\)
−0.466389 + 0.884580i \(0.654445\pi\)
\(368\) −2.23881 + 0.235308i −0.116706 + 0.0122663i
\(369\) 32.5813 + 1.12559i 1.69611 + 0.0585958i
\(370\) 4.82748 1.56854i 0.250969 0.0815447i
\(371\) 31.1047 + 14.7985i 1.61487 + 0.768300i
\(372\) −9.06926 4.22700i −0.470219 0.219160i
\(373\) 28.1083 16.2283i 1.45539 0.840271i 0.456613 0.889666i \(-0.349063\pi\)
0.998779 + 0.0493948i \(0.0157293\pi\)
\(374\) −18.0912 + 3.11176i −0.935475 + 0.160905i
\(375\) 12.5206 + 4.30859i 0.646563 + 0.222494i
\(376\) 0.484461 + 0.0509189i 0.0249841 + 0.00262594i
\(377\) 32.1448 + 10.4445i 1.65554 + 0.537917i
\(378\) 13.3629 3.23001i 0.687313 0.166134i
\(379\) 21.4569 15.5894i 1.10217 0.800773i 0.120757 0.992682i \(-0.461468\pi\)
0.981413 + 0.191909i \(0.0614680\pi\)
\(380\) 1.02140 + 0.454756i 0.0523967 + 0.0233285i
\(381\) 0.195039 11.2946i 0.00999216 0.578639i
\(382\) 6.46030 5.81688i 0.330538 0.297618i
\(383\) 4.21706 + 0.443231i 0.215482 + 0.0226481i 0.211654 0.977345i \(-0.432115\pi\)
0.00382765 + 0.999993i \(0.498782\pi\)
\(384\) 1.70017 0.330808i 0.0867613 0.0168815i
\(385\) 3.18807 + 6.44600i 0.162479 + 0.328518i
\(386\) 2.63162i 0.133946i
\(387\) −22.7636 + 6.53655i −1.15714 + 0.332271i
\(388\) −3.45652 3.83885i −0.175478 0.194888i
\(389\) 3.92933 18.4860i 0.199225 0.937280i −0.758962 0.651135i \(-0.774293\pi\)
0.958187 0.286144i \(-0.0923737\pi\)
\(390\) −7.46464 1.72188i −0.377987 0.0871908i
\(391\) −7.32359 10.0801i −0.370370 0.509771i
\(392\) −6.24330 3.16562i −0.315334 0.159888i
\(393\) −4.59876 + 37.5118i −0.231977 + 1.89222i
\(394\) 1.51662 14.4296i 0.0764060 0.726954i
\(395\) 4.17859 7.23754i 0.210248 0.364160i
\(396\) −2.37017 9.66345i −0.119105 0.485607i
\(397\) 3.08815 + 5.34884i 0.154990 + 0.268451i 0.933055 0.359733i \(-0.117132\pi\)
−0.778065 + 0.628183i \(0.783799\pi\)
\(398\) −8.09844 5.88386i −0.405938 0.294931i
\(399\) 1.67782 + 6.02258i 0.0839961 + 0.301506i
\(400\) 1.33754 + 4.11654i 0.0668772 + 0.205827i
\(401\) 3.72705 8.37109i 0.186120 0.418032i −0.796253 0.604964i \(-0.793188\pi\)
0.982373 + 0.186931i \(0.0598542\pi\)
\(402\) 2.38601 + 7.79908i 0.119003 + 0.388983i
\(403\) −6.48218 + 30.4962i −0.322900 + 1.51913i
\(404\) −14.9236 + 3.17212i −0.742478 + 0.157819i
\(405\) 1.03195 + 7.30316i 0.0512781 + 0.362897i
\(406\) −10.0739 + 13.1554i −0.499958 + 0.652891i
\(407\) 10.9588 17.3750i 0.543206 0.861249i
\(408\) 6.29071 + 7.23390i 0.311436 + 0.358132i
\(409\) −2.43028 5.45851i −0.120170 0.269906i 0.843438 0.537227i \(-0.180528\pi\)
−0.963607 + 0.267321i \(0.913862\pi\)
\(410\) 6.61821 5.95906i 0.326850 0.294297i
\(411\) 10.7520 + 6.45774i 0.530359 + 0.318537i
\(412\) 1.79034 1.30076i 0.0882035 0.0640836i
\(413\) −3.69015 6.78045i −0.181581 0.333644i
\(414\) 5.17180 4.34295i 0.254180 0.213444i
\(415\) 1.56056 + 7.34183i 0.0766046 + 0.360396i
\(416\) −2.19512 4.93031i −0.107624 0.241728i
\(417\) −35.4466 12.1978i −1.73583 0.597331i
\(418\) 4.35472 1.22895i 0.212996 0.0601097i
\(419\) 3.24937i 0.158742i −0.996845 0.0793710i \(-0.974709\pi\)
0.996845 0.0793710i \(-0.0252912\pi\)
\(420\) 2.01413 3.16975i 0.0982793 0.154668i
\(421\) −8.63563 + 26.5777i −0.420875 + 1.29532i 0.486015 + 0.873951i \(0.338450\pi\)
−0.906889 + 0.421369i \(0.861550\pi\)
\(422\) −17.9050 16.1217i −0.871599 0.784792i
\(423\) −1.29007 + 0.686561i −0.0627255 + 0.0333818i
\(424\) −12.9479 + 1.36088i −0.628804 + 0.0660900i
\(425\) −16.0302 + 17.8033i −0.777579 + 0.863589i
\(426\) −6.22604 0.763282i −0.301652 0.0369811i
\(427\) −2.05495 6.91233i −0.0994458 0.334511i
\(428\) −11.8251 −0.571590
\(429\) −27.6799 + 13.9641i −1.33640 + 0.674194i
\(430\) −3.23486 + 5.60294i −0.155999 + 0.270198i
\(431\) −16.5278 + 7.35864i −0.796115 + 0.354453i −0.764152 0.645036i \(-0.776842\pi\)
−0.0319625 + 0.999489i \(0.510176\pi\)
\(432\) −3.67218 + 3.67629i −0.176678 + 0.176876i
\(433\) −9.64182 29.6745i −0.463356 1.42606i −0.861038 0.508541i \(-0.830185\pi\)
0.397682 0.917523i \(-0.369815\pi\)
\(434\) −13.0399 7.97318i −0.625936 0.382725i
\(435\) −6.50256 6.06147i −0.311774 0.290625i
\(436\) 5.36207 + 4.82803i 0.256797 + 0.231221i
\(437\) 2.05503 + 2.28234i 0.0983053 + 0.109179i
\(438\) 3.44022 + 4.91119i 0.164380 + 0.234666i
\(439\) −12.9943 + 7.50224i −0.620182 + 0.358062i −0.776940 0.629575i \(-0.783229\pi\)
0.156758 + 0.987637i \(0.449896\pi\)
\(440\) −2.29897 1.45001i −0.109599 0.0691264i
\(441\) 20.8374 2.60816i 0.992257 0.124198i
\(442\) 17.5576 24.1660i 0.835131 1.14946i
\(443\) 1.55941 + 7.33643i 0.0740897 + 0.348564i 0.999541 0.0303026i \(-0.00964710\pi\)
−0.925451 + 0.378867i \(0.876314\pi\)
\(444\) −10.7263 0.185226i −0.509046 0.00879041i
\(445\) −0.576528 5.48530i −0.0273301 0.260028i
\(446\) −15.9384 7.09621i −0.754703 0.336015i
\(447\) −5.55137 10.0105i −0.262571 0.473482i
\(448\) 2.63739 0.210185i 0.124605 0.00993033i
\(449\) −16.1391 + 22.2136i −0.761653 + 1.04833i 0.235421 + 0.971893i \(0.424353\pi\)
−0.997075 + 0.0764326i \(0.975647\pi\)
\(450\) −10.2354 7.99063i −0.482502 0.376682i
\(451\) 5.16571 35.6693i 0.243244 1.67960i
\(452\) 10.7059 + 6.18106i 0.503564 + 0.290733i
\(453\) 31.1267 2.72908i 1.46246 0.128224i
\(454\) 4.27242 13.1492i 0.200515 0.617121i
\(455\) −11.0345 3.89527i −0.517305 0.182613i
\(456\) −1.72849 1.61124i −0.0809441 0.0754533i
\(457\) −5.73200 + 12.8743i −0.268132 + 0.602234i −0.996559 0.0828897i \(-0.973585\pi\)
0.728427 + 0.685123i \(0.240252\pi\)
\(458\) −11.4974 2.44384i −0.537236 0.114193i
\(459\) −27.7839 7.42801i −1.29684 0.346710i
\(460\) 0.192841 1.83476i 0.00899125 0.0855460i
\(461\) 33.9622 1.58178 0.790890 0.611959i \(-0.209618\pi\)
0.790890 + 0.611959i \(0.209618\pi\)
\(462\) −1.93827 15.0746i −0.0901765 0.701333i
\(463\) 39.7696 1.84825 0.924124 0.382093i \(-0.124797\pi\)
0.924124 + 0.382093i \(0.124797\pi\)
\(464\) 0.654627 6.22836i 0.0303903 0.289144i
\(465\) 4.93373 6.54982i 0.228796 0.303741i
\(466\) 18.9005 + 4.01742i 0.875548 + 0.186103i
\(467\) −6.24968 + 14.0370i −0.289201 + 0.649556i −0.998465 0.0553871i \(-0.982361\pi\)
0.709264 + 0.704943i \(0.249027\pi\)
\(468\) 13.7337 + 8.57464i 0.634840 + 0.396363i
\(469\) 2.28244 + 12.2475i 0.105393 + 0.565536i
\(470\) −0.123364 + 0.379675i −0.00569035 + 0.0175131i
\(471\) 2.04333 + 23.3053i 0.0941518 + 1.07385i
\(472\) 2.52682 + 1.45886i 0.116306 + 0.0671496i
\(473\) 4.43841 + 25.8041i 0.204078 + 1.18648i
\(474\) −13.3281 + 11.5903i −0.612181 + 0.532361i
\(475\) 3.47095 4.77735i 0.159258 0.219200i
\(476\) 8.30620 + 12.0601i 0.380714 + 0.552773i
\(477\) 29.9105 25.1169i 1.36951 1.15002i
\(478\) −10.9515 4.87591i −0.500908 0.223019i
\(479\) 0.168090 + 1.59927i 0.00768025 + 0.0730727i 0.997691 0.0679216i \(-0.0216368\pi\)
−0.990010 + 0.140994i \(0.954970\pi\)
\(480\) −0.0245081 + 1.41924i −0.00111864 + 0.0647794i
\(481\) 6.94986 + 32.6965i 0.316886 + 1.49083i
\(482\) −6.24182 + 8.59113i −0.284307 + 0.391315i
\(483\) 8.59570 5.70389i 0.391118 0.259536i
\(484\) −10.9054 + 1.43944i −0.495701 + 0.0654291i
\(485\) 3.66623 2.11670i 0.166475 0.0961144i
\(486\) 2.96014 15.3048i 0.134275 0.694241i
\(487\) −0.980414 1.08886i −0.0444268 0.0493410i 0.720522 0.693432i \(-0.243902\pi\)
−0.764949 + 0.644091i \(0.777236\pi\)
\(488\) 2.02553 + 1.82380i 0.0916915 + 0.0825594i
\(489\) 8.44828 9.06306i 0.382044 0.409846i
\(490\) 3.60140 4.46534i 0.162694 0.201724i
\(491\) −3.58459 11.0322i −0.161770 0.497878i 0.837014 0.547182i \(-0.184300\pi\)
−0.998784 + 0.0493045i \(0.984300\pi\)
\(492\) −17.3244 + 7.35758i −0.781044 + 0.331706i
\(493\) 31.6659 14.0986i 1.42616 0.634968i
\(494\) −3.68144 + 6.37645i −0.165636 + 0.286890i
\(495\) 8.15022 0.253422i 0.366325 0.0113905i
\(496\) 5.77694 0.259392
\(497\) −9.31909 2.22759i −0.418018 0.0999212i
\(498\) 1.93034 15.7456i 0.0865005 0.705579i
\(499\) −20.6887 + 22.9772i −0.926155 + 1.02860i 0.0733553 + 0.997306i \(0.476629\pi\)
−0.999510 + 0.0312934i \(0.990037\pi\)
\(500\) −7.60295 + 0.799102i −0.340014 + 0.0357369i
\(501\) 0.370638 + 1.21149i 0.0165589 + 0.0541255i
\(502\) 0.367353 + 0.330766i 0.0163958 + 0.0147628i
\(503\) 2.45888 7.56765i 0.109636 0.337425i −0.881155 0.472828i \(-0.843233\pi\)
0.990791 + 0.135403i \(0.0432330\pi\)
\(504\) −6.20503 + 4.94950i −0.276394 + 0.220468i
\(505\) 12.5035i 0.556398i
\(506\) −4.14903 6.20722i −0.184447 0.275944i
\(507\) 9.08882 26.4119i 0.403649 1.17299i
\(508\) 2.65270 + 5.95805i 0.117694 + 0.264346i
\(509\) −0.0146057 0.0687144i −0.000647386 0.00304571i 0.977823 0.209434i \(-0.0671622\pi\)
−0.978470 + 0.206389i \(0.933829\pi\)
\(510\) −6.87067 + 3.81015i −0.304238 + 0.168716i
\(511\) 4.37843 + 8.04513i 0.193691 + 0.355896i
\(512\) −0.809017 + 0.587785i −0.0357538 + 0.0259767i
\(513\) 7.00235 + 1.10505i 0.309162 + 0.0487890i
\(514\) 4.50621 4.05741i 0.198761 0.178965i
\(515\) 0.737652 + 1.65679i 0.0325048 + 0.0730071i
\(516\) 10.3180 8.97265i 0.454223 0.394999i
\(517\) 0.598933 + 1.50051i 0.0263410 + 0.0659922i
\(518\) −16.2490 2.12291i −0.713940 0.0932755i
\(519\) −25.7414 11.9976i −1.12992 0.526634i
\(520\) 4.32623 0.919570i 0.189718 0.0403258i
\(521\) −1.08172 + 5.08908i −0.0473909 + 0.222957i −0.995470 0.0950787i \(-0.969690\pi\)
0.948079 + 0.318035i \(0.103023\pi\)
\(522\) 8.82663 + 16.5855i 0.386331 + 0.725929i
\(523\) 11.1632 25.0729i 0.488132 1.09636i −0.486731 0.873552i \(-0.661811\pi\)
0.974862 0.222809i \(-0.0715227\pi\)
\(524\) −6.74262 20.7517i −0.294553 0.906540i
\(525\) −14.1637 13.8860i −0.618155 0.606036i
\(526\) −12.7150 9.23796i −0.554399 0.402794i
\(527\) 15.9871 + 27.6905i 0.696410 + 1.20622i
\(528\) 3.59724 + 4.47882i 0.156550 + 0.194916i
\(529\) −8.96618 + 15.5299i −0.389834 + 0.675212i
\(530\) 1.11527 10.6111i 0.0484442 0.460916i
\(531\) −8.73162 + 0.613849i −0.378920 + 0.0266388i
\(532\) −2.34692 2.74241i −0.101752 0.118898i
\(533\) 34.4722 + 47.4469i 1.49316 + 2.05515i
\(534\) −2.62013 + 11.3587i −0.113384 + 0.491538i
\(535\) 2.01487 9.47921i 0.0871103 0.409822i
\(536\) −3.15081 3.49933i −0.136094 0.151148i
\(537\) 43.4941 3.81342i 1.87691 0.164561i
\(538\) 19.4186i 0.837197i
\(539\) −0.353586 23.2137i −0.0152300 0.999884i
\(540\) −2.32127 3.57007i −0.0998917 0.153631i
\(541\) −11.7909 1.23927i −0.506930 0.0532805i −0.152388 0.988321i \(-0.548696\pi\)
−0.354542 + 0.935040i \(0.615363\pi\)
\(542\) −0.997419 + 0.898080i −0.0428428 + 0.0385758i
\(543\) 13.3214 + 0.230039i 0.571675 + 0.00987190i
\(544\) −5.05630 2.25121i −0.216787 0.0965198i
\(545\) −4.78386 + 3.47568i −0.204918 + 0.148882i
\(546\) 19.3733 + 15.3731i 0.829100 + 0.657909i
\(547\) −14.9485 4.85707i −0.639153 0.207673i −0.0285276 0.999593i \(-0.509082\pi\)
−0.610625 + 0.791920i \(0.709082\pi\)
\(548\) −7.20162 0.756920i −0.307638 0.0323340i
\(549\) −8.09771 1.13498i −0.345602 0.0484397i
\(550\) −10.0155 + 10.2846i −0.427062 + 0.438538i
\(551\) −7.39936 + 4.27202i −0.315223 + 0.181994i
\(552\) −1.64717 + 3.53408i −0.0701081 + 0.150421i
\(553\) −22.2201 + 15.3038i −0.944896 + 0.650783i
\(554\) 9.97957 3.24256i 0.423991 0.137763i
\(555\) 1.97611 8.56678i 0.0838813 0.363639i
\(556\) 21.5243 2.26230i 0.912836 0.0959429i
\(557\) −17.4054 3.69964i −0.737492 0.156759i −0.176174 0.984359i \(-0.556372\pi\)
−0.561318 + 0.827600i \(0.689705\pi\)
\(558\) −14.3643 + 9.69663i −0.608088 + 0.410491i
\(559\) −34.4688 25.0430i −1.45787 1.05921i
\(560\) −0.280893 + 2.14998i −0.0118699 + 0.0908534i
\(561\) −11.5132 + 29.6373i −0.486090 + 1.25129i
\(562\) −1.52572 2.64262i −0.0643585 0.111472i
\(563\) 16.6751 7.42424i 0.702773 0.312895i −0.0240586 0.999711i \(-0.507659\pi\)
0.726831 + 0.686816i \(0.240992\pi\)
\(564\) 0.507645 0.673929i 0.0213757 0.0283775i
\(565\) −6.77900 + 7.52884i −0.285195 + 0.316741i
\(566\) −0.937205 1.28995i −0.0393937 0.0542207i
\(567\) 7.12097 22.7221i 0.299052 0.954237i
\(568\) 3.44427 1.11911i 0.144518 0.0469568i
\(569\) 15.0281 3.19431i 0.630009 0.133913i 0.118169 0.992993i \(-0.462298\pi\)
0.511840 + 0.859081i \(0.328964\pi\)
\(570\) 1.58611 1.11105i 0.0664349 0.0465367i
\(571\) 33.4687 + 19.3232i 1.40062 + 0.808649i 0.994456 0.105150i \(-0.0335323\pi\)
0.406165 + 0.913800i \(0.366866\pi\)
\(572\) 11.0791 14.0586i 0.463241 0.587821i
\(573\) −2.87578 14.7799i −0.120137 0.617438i
\(574\) −27.5591 + 8.19295i −1.15029 + 0.341967i
\(575\) −9.26690 3.01100i −0.386457 0.125567i
\(576\) 1.02501 2.81946i 0.0427087 0.117478i
\(577\) −0.243104 2.31298i −0.0101206 0.0962907i 0.988296 0.152551i \(-0.0487489\pi\)
−0.998416 + 0.0562606i \(0.982082\pi\)
\(578\) −1.42515 13.5594i −0.0592786 0.563998i
\(579\) 3.90749 + 2.34686i 0.162390 + 0.0975324i
\(580\) 4.88121 + 1.58600i 0.202681 + 0.0658551i
\(581\) 5.63358 23.5680i 0.233720 0.977764i
\(582\) −8.78252 + 1.70885i −0.364047 + 0.0708341i
\(583\) −23.9954 35.8986i −0.993788 1.48677i
\(584\) −2.99812 1.73097i −0.124063 0.0716279i
\(585\) −9.21362 + 9.54811i −0.380936 + 0.394766i
\(586\) 15.0920 3.20790i 0.623444 0.132517i
\(587\) −40.4542 + 13.1444i −1.66972 + 0.542526i −0.982875 0.184273i \(-0.941007\pi\)
−0.686850 + 0.726800i \(0.741007\pi\)
\(588\) −10.2681 + 6.44712i −0.423451 + 0.265875i
\(589\) −4.63255 6.37616i −0.190881 0.262725i
\(590\) −1.59999 + 1.77697i −0.0658704 + 0.0731565i
\(591\) −20.0730 15.1202i −0.825691 0.621961i
\(592\) 5.65826 2.51922i 0.232553 0.103539i
\(593\) 17.3843 + 30.1104i 0.713886 + 1.23649i 0.963388 + 0.268112i \(0.0863998\pi\)
−0.249502 + 0.968374i \(0.580267\pi\)
\(594\) −16.4622 5.09853i −0.675453 0.209195i
\(595\) −11.0828 + 4.60347i −0.454352 + 0.188724i
\(596\) 5.34662 + 3.88455i 0.219006 + 0.159117i
\(597\) −15.9586 + 6.77755i −0.653144 + 0.277387i
\(598\) 11.8837 + 2.52596i 0.485960 + 0.103294i
\(599\) 12.0970 1.27144i 0.494270 0.0519498i 0.145885 0.989302i \(-0.453397\pi\)
0.348384 + 0.937352i \(0.386730\pi\)
\(600\) 7.30514 + 1.68509i 0.298231 + 0.0687935i
\(601\) −22.3148 + 7.25051i −0.910239 + 0.295755i −0.726457 0.687212i \(-0.758834\pi\)
−0.183783 + 0.982967i \(0.558834\pi\)
\(602\) 17.2017 11.8474i 0.701090 0.482865i
\(603\) 13.7081 + 3.41238i 0.558237 + 0.138963i
\(604\) −15.6230 + 9.01996i −0.635692 + 0.367017i
\(605\) 0.704281 8.98720i 0.0286331 0.365382i
\(606\) −8.59879 + 24.9878i −0.349302 + 1.01506i
\(607\) 20.8756 + 2.19411i 0.847314 + 0.0890563i 0.518227 0.855243i \(-0.326592\pi\)
0.329087 + 0.944299i \(0.393259\pi\)
\(608\) 1.29751 + 0.421586i 0.0526209 + 0.0170976i
\(609\) 10.5496 + 26.6898i 0.427491 + 1.08153i
\(610\) −1.80711 + 1.31294i −0.0731677 + 0.0531595i
\(611\) −2.40170 1.06931i −0.0971623 0.0432595i
\(612\) 16.3511 2.88943i 0.660954 0.116798i
\(613\) 25.4857 22.9475i 1.02936 0.926839i 0.0320013 0.999488i \(-0.489812\pi\)
0.997358 + 0.0726490i \(0.0231453\pi\)
\(614\) 22.6627 + 2.38194i 0.914590 + 0.0961273i
\(615\) −2.94607 15.1411i −0.118797 0.610550i
\(616\) 4.69101 + 7.41582i 0.189006 + 0.298792i
\(617\) 30.7003i 1.23595i −0.786199 0.617973i \(-0.787954\pi\)
0.786199 0.617973i \(-0.212046\pi\)
\(618\) −0.334780 3.81834i −0.0134668 0.153596i
\(619\) 9.60052 + 10.6625i 0.385877 + 0.428560i 0.904520 0.426431i \(-0.140229\pi\)
−0.518643 + 0.854991i \(0.673563\pi\)
\(620\) −0.984324 + 4.63088i −0.0395314 + 0.185981i
\(621\) −1.83632 11.5522i −0.0736892 0.463575i
\(622\) −6.16912 8.49107i −0.247359 0.340461i
\(623\) −5.92730 + 16.7908i −0.237472 + 0.672710i
\(624\) −9.27824 1.13747i −0.371427 0.0455351i
\(625\) −1.60731 + 15.2926i −0.0642925 + 0.611702i
\(626\) 11.0351 19.1134i 0.441052 0.763925i
\(627\) 2.05875 7.56196i 0.0822186 0.301996i
\(628\) −6.75347 11.6974i −0.269493 0.466776i
\(629\) 27.7340 + 20.1500i 1.10583 + 0.803432i
\(630\) −2.91033 5.81739i −0.115950 0.231770i
\(631\) −0.104217 0.320748i −0.00414882 0.0127688i 0.948961 0.315394i \(-0.102137\pi\)
−0.953109 + 0.302626i \(0.902137\pi\)
\(632\) 4.14774 9.31599i 0.164988 0.370570i
\(633\) −39.9054 + 12.2085i −1.58610 + 0.485242i
\(634\) 4.99543 23.5017i 0.198394 0.933370i
\(635\) −5.22805 + 1.11126i −0.207469 + 0.0440989i
\(636\) −9.52618 + 20.4389i −0.377738 + 0.810456i
\(637\) 26.7659 + 26.6605i 1.06051 + 1.05633i
\(638\) 19.2909 7.70005i 0.763736 0.304848i
\(639\) −6.68569 + 8.56388i −0.264482 + 0.338782i
\(640\) −0.333330 0.748672i −0.0131760 0.0295939i
\(641\) −18.8990 + 17.0167i −0.746465 + 0.672120i −0.951851 0.306561i \(-0.900822\pi\)
0.205386 + 0.978681i \(0.434155\pi\)
\(642\) −10.5456 + 17.5582i −0.416202 + 0.692969i
\(643\) −3.27731 + 2.38111i −0.129244 + 0.0939016i −0.650529 0.759481i \(-0.725453\pi\)
0.521285 + 0.853383i \(0.325453\pi\)
\(644\) −3.10697 + 5.08136i −0.122432 + 0.200234i
\(645\) 5.43455 + 9.79987i 0.213985 + 0.385870i
\(646\) 1.56995 + 7.38603i 0.0617688 + 0.290599i
\(647\) 14.9973 + 33.6845i 0.589606 + 1.32428i 0.924198 + 0.381913i \(0.124735\pi\)
−0.334593 + 0.942363i \(0.608599\pi\)
\(648\) 2.18381 + 8.73103i 0.0857884 + 0.342987i
\(649\) −0.378298 + 9.66960i −0.0148495 + 0.379565i
\(650\) 23.3598i 0.916248i
\(651\) −23.4677 + 12.2515i −0.919772 + 0.480175i
\(652\) −2.21052 + 6.80327i −0.0865705 + 0.266437i
\(653\) −12.2670 11.0453i −0.480045 0.432235i 0.393246 0.919433i \(-0.371352\pi\)
−0.873291 + 0.487199i \(0.838019\pi\)
\(654\) 11.9506 3.65612i 0.467307 0.142965i
\(655\) 17.7837 1.86914i 0.694867 0.0730334i
\(656\) 7.27138 8.07568i 0.283900 0.315302i
\(657\) 10.3602 0.728343i 0.404191 0.0284154i
\(658\) 0.886244 0.935754i 0.0345494 0.0364795i
\(659\) −36.2251 −1.41113 −0.705565 0.708646i \(-0.749307\pi\)
−0.705565 + 0.708646i \(0.749307\pi\)
\(660\) −4.20322 + 2.12046i −0.163610 + 0.0825389i
\(661\) −6.22054 + 10.7743i −0.241951 + 0.419071i −0.961270 0.275609i \(-0.911121\pi\)
0.719319 + 0.694680i \(0.244454\pi\)
\(662\) 2.42075 1.07779i 0.0940851 0.0418894i
\(663\) −20.2244 47.6211i −0.785452 1.84945i
\(664\) 2.83023 + 8.71054i 0.109834 + 0.338035i
\(665\) 2.59824 1.41405i 0.100756 0.0548346i
\(666\) −9.84066 + 15.7614i −0.381318 + 0.610743i
\(667\) 10.4770 + 9.43351i 0.405670 + 0.365267i
\(668\) −0.489440 0.543578i −0.0189370 0.0210317i
\(669\) −24.7504 + 17.3373i −0.956905 + 0.670298i
\(670\) 3.34198 1.92949i 0.129112 0.0745427i
\(671\) −2.22373 + 8.76209i −0.0858460 + 0.338257i
\(672\) 2.03992 4.10350i 0.0786917 0.158296i
\(673\) 10.2158 14.0609i 0.393792 0.542008i −0.565381 0.824830i \(-0.691271\pi\)
0.959172 + 0.282822i \(0.0912707\pi\)
\(674\) 2.45032 + 11.5279i 0.0943828 + 0.444036i
\(675\) −20.9926 + 8.07178i −0.808005 + 0.310683i
\(676\) 1.68568 + 16.0382i 0.0648339 + 0.616853i
\(677\) −40.3007 17.9430i −1.54888 0.689607i −0.558698 0.829371i \(-0.688699\pi\)
−0.990185 + 0.139764i \(0.955366\pi\)
\(678\) 18.7253 10.3842i 0.719140 0.398801i
\(679\) −13.6239 + 1.08575i −0.522838 + 0.0416673i
\(680\) 2.66614 3.66963i 0.102242 0.140724i
\(681\) −15.7141 18.0702i −0.602164 0.692450i
\(682\) 8.92398 + 16.9548i 0.341717 + 0.649233i
\(683\) 1.82174 + 1.05178i 0.0697069 + 0.0402453i 0.534448 0.845201i \(-0.320519\pi\)
−0.464741 + 0.885446i \(0.653853\pi\)
\(684\) −3.93387 + 1.12961i −0.150415 + 0.0431917i
\(685\) 1.83383 5.64395i 0.0700671 0.215644i
\(686\) −16.6924 + 8.02262i −0.637320 + 0.306305i
\(687\) −13.8820 + 14.8922i −0.529630 + 0.568171i
\(688\) −3.21098 + 7.21198i −0.122417 + 0.274954i
\(689\) 68.7278 + 14.6086i 2.61832 + 0.556541i
\(690\) −2.55232 1.92256i −0.0971650 0.0731907i
\(691\) 0.477462 4.54275i 0.0181635 0.172814i −0.981679 0.190540i \(-0.938976\pi\)
0.999843 + 0.0177261i \(0.00564268\pi\)
\(692\) 16.3968 0.623311
\(693\) −24.1116 10.5655i −0.915926 0.401348i
\(694\) 10.3928 0.394503
\(695\) −1.85401 + 17.6397i −0.0703265 + 0.669112i
\(696\) −8.66423 6.52643i −0.328417 0.247384i
\(697\) 58.8319 + 12.5051i 2.22842 + 0.473665i
\(698\) −2.38437 + 5.35538i −0.0902496 + 0.202704i
\(699\) 22.8205 24.4812i 0.863151 0.925962i
\(700\) 10.7987 + 3.81204i 0.408154 + 0.144082i
\(701\) 6.74430 20.7568i 0.254729 0.783974i −0.739154 0.673536i \(-0.764775\pi\)
0.993883 0.110438i \(-0.0352254\pi\)
\(702\) 24.9795 12.7453i 0.942789 0.481040i
\(703\) −7.31792 4.22500i −0.276000 0.159349i
\(704\) −2.97484 1.46641i −0.112118 0.0552673i
\(705\) 0.453735 + 0.521766i 0.0170886 + 0.0196508i
\(706\) −16.7295 + 23.0261i −0.629621 + 0.866599i
\(707\) −17.3422 + 36.4512i −0.652220 + 1.37089i
\(708\) 4.41956 2.45088i 0.166097 0.0921097i
\(709\) −9.01963 4.01580i −0.338739 0.150817i 0.230316 0.973116i \(-0.426024\pi\)
−0.569055 + 0.822299i \(0.692691\pi\)
\(710\) 0.310232 + 2.95166i 0.0116428 + 0.110774i
\(711\) 5.32364 + 30.1261i 0.199652 + 1.12982i
\(712\) −1.39928 6.58308i −0.0524401 0.246711i
\(713\) −7.64397 + 10.5210i −0.286269 + 0.394016i
\(714\) 25.3145 1.57812i 0.947373 0.0590595i
\(715\) 9.38185 + 11.2766i 0.350861 + 0.421721i
\(716\) −21.8305 + 12.6038i −0.815844 + 0.471028i
\(717\) −17.0063 + 11.9127i −0.635113 + 0.444887i
\(718\) 2.01803 + 2.24125i 0.0753123 + 0.0836428i
\(719\) 12.8719 + 11.5899i 0.480042 + 0.432232i 0.873290 0.487201i \(-0.161982\pi\)
−0.393248 + 0.919432i \(0.628649\pi\)
\(720\) 2.08547 + 1.30207i 0.0777210 + 0.0485251i
\(721\) 0.147491 5.85313i 0.00549285 0.217982i
\(722\) 5.29616 + 16.2999i 0.197103 + 0.606620i
\(723\) 7.18989 + 16.9295i 0.267395 + 0.629616i
\(724\) −7.02721 + 3.12872i −0.261164 + 0.116278i
\(725\) 13.5536 23.4755i 0.503369 0.871860i
\(726\) −7.58808 + 17.4763i −0.281620 + 0.648606i
\(727\) 32.9051 1.22038 0.610192 0.792254i \(-0.291092\pi\)
0.610192 + 0.792254i \(0.291092\pi\)
\(728\) −13.8876 3.31963i −0.514709 0.123034i
\(729\) −20.0851 18.0440i −0.743894 0.668298i
\(730\) 1.89841 2.10840i 0.0702635 0.0780355i
\(731\) −43.4551 + 4.56732i −1.60725 + 0.168928i
\(732\) 4.51438 1.38110i 0.166856 0.0510471i
\(733\) −14.3093 12.8841i −0.528526 0.475887i 0.361132 0.932515i \(-0.382390\pi\)
−0.889658 + 0.456628i \(0.849057\pi\)
\(734\) 3.22378 9.92179i 0.118992 0.366220i
\(735\) −3.41854 9.32961i −0.126095 0.344128i
\(736\) 2.25114i 0.0829782i
\(737\) 5.40298 14.6530i 0.199021 0.539749i
\(738\) −4.52509 + 32.2851i −0.166571 + 1.18843i
\(739\) −0.433453 0.973551i −0.0159448 0.0358126i 0.905398 0.424565i \(-0.139573\pi\)
−0.921342 + 0.388752i \(0.872906\pi\)
\(740\) 1.05534 + 4.96499i 0.0387951 + 0.182517i
\(741\) 6.18481 + 11.1528i 0.227205 + 0.409708i
\(742\) −17.9688 + 29.3874i −0.659654 + 1.07885i
\(743\) −11.4625 + 8.32797i −0.420517 + 0.305524i −0.777846 0.628455i \(-0.783688\pi\)
0.357329 + 0.933979i \(0.383688\pi\)
\(744\) 5.15184 8.57773i 0.188876 0.314475i
\(745\) −4.02492 + 3.62405i −0.147462 + 0.132775i
\(746\) 13.2013 + 29.6506i 0.483334 + 1.08559i
\(747\) −21.6580 16.9081i −0.792426 0.618635i
\(748\) −1.20366 18.3174i −0.0440103 0.669750i
\(749\) −19.0214 + 24.8399i −0.695028 + 0.907631i
\(750\) −5.59375 + 12.0017i −0.204255 + 0.438239i
\(751\) −44.5286 + 9.46484i −1.62487 + 0.345377i −0.928219 0.372033i \(-0.878661\pi\)
−0.696651 + 0.717410i \(0.745327\pi\)
\(752\) −0.101280 + 0.476484i −0.00369330 + 0.0173756i
\(753\) 0.818733 0.250479i 0.0298363 0.00912795i
\(754\) −13.7473 + 30.8769i −0.500647 + 1.12447i
\(755\) −4.56855 14.0606i −0.166267 0.511716i
\(756\) 1.81551 + 13.6273i 0.0660296 + 0.495621i
\(757\) 6.54374 + 4.75430i 0.237836 + 0.172798i 0.700319 0.713830i \(-0.253041\pi\)
−0.462483 + 0.886628i \(0.653041\pi\)
\(758\) 13.2611 + 22.9689i 0.481666 + 0.834269i
\(759\) −12.9167 + 0.625018i −0.468847 + 0.0226867i
\(760\) −0.559030 + 0.968269i −0.0202782 + 0.0351228i
\(761\) −1.81333 + 17.2527i −0.0657333 + 0.625411i 0.911214 + 0.411932i \(0.135146\pi\)
−0.976948 + 0.213478i \(0.931521\pi\)
\(762\) 11.2123 + 1.37458i 0.406179 + 0.0497956i
\(763\) 18.7670 3.49741i 0.679411 0.126615i
\(764\) 5.10973 + 7.03294i 0.184864 + 0.254443i
\(765\) −0.469827 + 13.5996i −0.0169866 + 0.491695i
\(766\) −0.881606 + 4.14763i −0.0318537 + 0.149860i
\(767\) −10.5366 11.7020i −0.380454 0.422537i
\(768\) 0.151280 + 1.72543i 0.00545885 + 0.0622612i
\(769\) 19.5906i 0.706455i 0.935537 + 0.353228i \(0.114916\pi\)
−0.935537 + 0.353228i \(0.885084\pi\)
\(770\) −6.74393 + 2.49681i −0.243034 + 0.0899789i
\(771\) −2.00592 10.3093i −0.0722416 0.371281i
\(772\) −2.61720 0.275079i −0.0941952 0.00990031i
\