Properties

Label 96.2.o.a.35.4
Level 96
Weight 2
Character 96.35
Analytic conductor 0.767
Analytic rank 0
Dimension 56
CM no
Inner twists 4

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 96 = 2^{5} \cdot 3 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 96.o (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.766563859404\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{8})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 35.4
Character \(\chi\) = 96.35
Dual form 96.2.o.a.11.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.838298 - 1.13897i) q^{2} +(0.602068 + 1.62404i) q^{3} +(-0.594512 + 1.90960i) q^{4} +(0.378520 - 0.156788i) q^{5} +(1.34503 - 2.04717i) q^{6} +(2.01144 + 2.01144i) q^{7} +(2.67335 - 0.923679i) q^{8} +(-2.27503 + 1.95557i) q^{9} +O(q^{10})\) \(q+(-0.838298 - 1.13897i) q^{2} +(0.602068 + 1.62404i) q^{3} +(-0.594512 + 1.90960i) q^{4} +(0.378520 - 0.156788i) q^{5} +(1.34503 - 2.04717i) q^{6} +(2.01144 + 2.01144i) q^{7} +(2.67335 - 0.923679i) q^{8} +(-2.27503 + 1.95557i) q^{9} +(-0.495890 - 0.299689i) q^{10} +(0.709852 - 0.294030i) q^{11} +(-3.45920 + 0.184194i) q^{12} +(2.08393 - 5.03104i) q^{13} +(0.604786 - 3.97716i) q^{14} +(0.482526 + 0.520336i) q^{15} +(-3.29311 - 2.27055i) q^{16} -6.33777 q^{17} +(4.13449 + 0.951842i) q^{18} +(0.646487 + 0.267784i) q^{19} +(0.0743674 + 0.816033i) q^{20} +(-2.05564 + 4.47769i) q^{21} +(-0.929959 - 0.562016i) q^{22} +(1.61798 + 1.61798i) q^{23} +(3.10963 + 3.78552i) q^{24} +(-3.41684 + 3.41684i) q^{25} +(-7.47717 + 1.84398i) q^{26} +(-4.54565 - 2.51736i) q^{27} +(-5.03686 + 2.64521i) q^{28} +(2.04571 - 4.93879i) q^{29} +(0.188147 - 0.985780i) q^{30} -5.75464i q^{31} +(0.174513 + 5.65416i) q^{32} +(0.904897 + 0.975803i) q^{33} +(5.31295 + 7.21854i) q^{34} +(1.07674 + 0.446001i) q^{35} +(-2.38181 - 5.50699i) q^{36} +(-2.50232 - 6.04113i) q^{37} +(-0.236951 - 0.960813i) q^{38} +(9.42529 + 0.355354i) q^{39} +(0.867097 - 0.768782i) q^{40} +(5.52228 - 5.52228i) q^{41} +(6.82320 - 1.41232i) q^{42} +(-0.406593 - 0.981601i) q^{43} +(0.139464 + 1.53033i) q^{44} +(-0.554534 + 1.09692i) q^{45} +(0.486482 - 3.19917i) q^{46} +10.4826i q^{47} +(1.70480 - 6.71518i) q^{48} +1.09178i q^{49} +(6.75601 + 1.02735i) q^{50} +(-3.81577 - 10.2928i) q^{51} +(8.36834 + 6.97047i) q^{52} +(0.674566 + 1.62855i) q^{53} +(0.943413 + 7.28766i) q^{54} +(0.222593 - 0.222593i) q^{55} +(7.23521 + 3.51937i) q^{56} +(-0.0456628 + 1.21115i) q^{57} +(-7.34006 + 1.81017i) q^{58} +(-3.35082 - 8.08960i) q^{59} +(-1.28050 + 0.612084i) q^{60} +(4.14715 + 1.71781i) q^{61} +(-6.55438 + 4.82411i) q^{62} +(-8.50959 - 0.642573i) q^{63} +(6.29363 - 4.93864i) q^{64} -2.23109i q^{65} +(0.352838 - 1.84867i) q^{66} +(-2.65183 + 6.40208i) q^{67} +(3.76788 - 12.1026i) q^{68} +(-1.65353 + 3.60179i) q^{69} +(-0.394648 - 1.60026i) q^{70} +(-1.97014 + 1.97014i) q^{71} +(-4.27564 + 7.32932i) q^{72} +(9.48914 + 9.48914i) q^{73} +(-4.78299 + 7.91434i) q^{74} +(-7.60626 - 3.49192i) q^{75} +(-0.895703 + 1.07533i) q^{76} +(2.01925 + 0.836400i) q^{77} +(-7.49647 - 11.0330i) q^{78} -8.75751 q^{79} +(-1.60251 - 0.343130i) q^{80} +(1.35150 - 8.89795i) q^{81} +(-10.9190 - 1.66040i) q^{82} +(-6.60293 + 15.9409i) q^{83} +(-7.32847 - 6.58748i) q^{84} +(-2.39898 + 0.993689i) q^{85} +(-0.777170 + 1.28597i) q^{86} +(9.25246 + 0.348838i) q^{87} +(1.62609 - 1.44172i) q^{88} +(6.11535 + 6.11535i) q^{89} +(1.71423 - 0.287948i) q^{90} +(14.3113 - 5.92795i) q^{91} +(-4.05158 + 2.12777i) q^{92} +(9.34579 - 3.46469i) q^{93} +(11.9394 - 8.78755i) q^{94} +0.286694 q^{95} +(-9.07753 + 3.68761i) q^{96} -5.09195 q^{97} +(1.24351 - 0.915239i) q^{98} +(-1.03994 + 2.05709i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} + O(q^{10}) \) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} - 16q^{10} - 4q^{12} - 8q^{13} - 8q^{15} - 40q^{16} - 4q^{18} - 8q^{19} - 4q^{21} - 24q^{22} + 16q^{24} - 8q^{25} - 28q^{27} - 8q^{28} + 44q^{30} - 8q^{33} - 24q^{34} + 48q^{36} - 8q^{37} - 28q^{39} + 24q^{40} + 56q^{42} - 8q^{43} - 4q^{45} + 24q^{46} + 48q^{48} - 16q^{51} + 48q^{52} + 40q^{54} + 24q^{55} - 4q^{57} + 96q^{58} + 8q^{60} - 40q^{61} + 40q^{64} - 28q^{66} + 56q^{67} - 4q^{69} + 40q^{70} - 64q^{72} - 8q^{73} + 16q^{75} + 48q^{76} - 92q^{78} + 16q^{79} - 48q^{82} - 136q^{84} - 48q^{85} + 52q^{87} - 48q^{88} - 136q^{90} + 40q^{91} + 8q^{93} - 64q^{94} - 104q^{96} - 16q^{97} + 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(37\) \(65\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{8}\right)\) \(-1\)

Coefficient data

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.838298 1.13897i −0.592766 0.805374i
\(3\) 0.602068 + 1.62404i 0.347604 + 0.937641i
\(4\) −0.594512 + 1.90960i −0.297256 + 0.954798i
\(5\) 0.378520 0.156788i 0.169279 0.0701179i −0.296434 0.955053i \(-0.595798\pi\)
0.465714 + 0.884935i \(0.345798\pi\)
\(6\) 1.34503 2.04717i 0.549104 0.835754i
\(7\) 2.01144 + 2.01144i 0.760253 + 0.760253i 0.976368 0.216115i \(-0.0693386\pi\)
−0.216115 + 0.976368i \(0.569339\pi\)
\(8\) 2.67335 0.923679i 0.945173 0.326570i
\(9\) −2.27503 + 1.95557i −0.758343 + 0.651856i
\(10\) −0.495890 0.299689i −0.156814 0.0947698i
\(11\) 0.709852 0.294030i 0.214028 0.0886534i −0.273093 0.961988i \(-0.588047\pi\)
0.487122 + 0.873334i \(0.338047\pi\)
\(12\) −3.45920 + 0.184194i −0.998585 + 0.0531723i
\(13\) 2.08393 5.03104i 0.577977 1.39536i −0.316648 0.948543i \(-0.602557\pi\)
0.894625 0.446817i \(-0.147443\pi\)
\(14\) 0.604786 3.97716i 0.161636 1.06294i
\(15\) 0.482526 + 0.520336i 0.124588 + 0.134350i
\(16\) −3.29311 2.27055i −0.823278 0.567639i
\(17\) −6.33777 −1.53714 −0.768568 0.639768i \(-0.779030\pi\)
−0.768568 + 0.639768i \(0.779030\pi\)
\(18\) 4.13449 + 0.951842i 0.974508 + 0.224351i
\(19\) 0.646487 + 0.267784i 0.148314 + 0.0614338i 0.455606 0.890182i \(-0.349423\pi\)
−0.307291 + 0.951615i \(0.599423\pi\)
\(20\) 0.0743674 + 0.816033i 0.0166290 + 0.182471i
\(21\) −2.05564 + 4.47769i −0.448577 + 0.977112i
\(22\) −0.929959 0.562016i −0.198268 0.119822i
\(23\) 1.61798 + 1.61798i 0.337371 + 0.337371i 0.855377 0.518006i \(-0.173325\pi\)
−0.518006 + 0.855377i \(0.673325\pi\)
\(24\) 3.10963 + 3.78552i 0.634751 + 0.772716i
\(25\) −3.41684 + 3.41684i −0.683368 + 0.683368i
\(26\) −7.47717 + 1.84398i −1.46639 + 0.361635i
\(27\) −4.54565 2.51736i −0.874810 0.484465i
\(28\) −5.03686 + 2.64521i −0.951877 + 0.499898i
\(29\) 2.04571 4.93879i 0.379879 0.917110i −0.612108 0.790774i \(-0.709678\pi\)
0.991988 0.126336i \(-0.0403217\pi\)
\(30\) 0.188147 0.985780i 0.0343508 0.179978i
\(31\) 5.75464i 1.03356i −0.856117 0.516782i \(-0.827130\pi\)
0.856117 0.516782i \(-0.172870\pi\)
\(32\) 0.174513 + 5.65416i 0.0308498 + 0.999524i
\(33\) 0.904897 + 0.975803i 0.157522 + 0.169866i
\(34\) 5.31295 + 7.21854i 0.911163 + 1.23797i
\(35\) 1.07674 + 0.446001i 0.182002 + 0.0753879i
\(36\) −2.38181 5.50699i −0.396969 0.917832i
\(37\) −2.50232 6.04113i −0.411379 0.993156i −0.984768 0.173873i \(-0.944372\pi\)
0.573389 0.819283i \(-0.305628\pi\)
\(38\) −0.236951 0.960813i −0.0384385 0.155864i
\(39\) 9.42529 + 0.355354i 1.50925 + 0.0569021i
\(40\) 0.867097 0.768782i 0.137100 0.121555i
\(41\) 5.52228 5.52228i 0.862435 0.862435i −0.129185 0.991620i \(-0.541236\pi\)
0.991620 + 0.129185i \(0.0412361\pi\)
\(42\) 6.82320 1.41232i 1.05284 0.217926i
\(43\) −0.406593 0.981601i −0.0620048 0.149693i 0.889840 0.456272i \(-0.150816\pi\)
−0.951845 + 0.306579i \(0.900816\pi\)
\(44\) 0.139464 + 1.53033i 0.0210249 + 0.230707i
\(45\) −0.554534 + 1.09692i −0.0826651 + 0.163519i
\(46\) 0.486482 3.19917i 0.0717278 0.471692i
\(47\) 10.4826i 1.52904i 0.644597 + 0.764522i \(0.277025\pi\)
−0.644597 + 0.764522i \(0.722975\pi\)
\(48\) 1.70480 6.71518i 0.246067 0.969253i
\(49\) 1.09178i 0.155969i
\(50\) 6.75601 + 1.02735i 0.955444 + 0.145289i
\(51\) −3.81577 10.2928i −0.534315 1.44128i
\(52\) 8.36834 + 6.97047i 1.16048 + 0.966630i
\(53\) 0.674566 + 1.62855i 0.0926588 + 0.223698i 0.963413 0.268020i \(-0.0863692\pi\)
−0.870755 + 0.491718i \(0.836369\pi\)
\(54\) 0.943413 + 7.28766i 0.128382 + 0.991725i
\(55\) 0.222593 0.222593i 0.0300144 0.0300144i
\(56\) 7.23521 + 3.51937i 0.966846 + 0.470295i
\(57\) −0.0456628 + 1.21115i −0.00604819 + 0.160420i
\(58\) −7.34006 + 1.81017i −0.963797 + 0.237687i
\(59\) −3.35082 8.08960i −0.436240 1.05318i −0.977237 0.212152i \(-0.931953\pi\)
0.540997 0.841025i \(1.68195\pi\)
\(60\) −1.28050 + 0.612084i −0.165312 + 0.0790196i
\(61\) 4.14715 + 1.71781i 0.530988 + 0.219943i 0.632036 0.774939i \(-0.282219\pi\)
−0.101048 + 0.994882i \(0.532219\pi\)
\(62\) −6.55438 + 4.82411i −0.832407 + 0.612662i
\(63\) −8.50959 0.642573i −1.07211 0.0809566i
\(64\) 6.29363 4.93864i 0.786704 0.617330i
\(65\) 2.23109i 0.276732i
\(66\) 0.352838 1.84867i 0.0434314 0.227555i
\(67\) −2.65183 + 6.40208i −0.323972 + 0.782138i 0.675043 + 0.737778i \(0.264125\pi\)
−0.999016 + 0.0443601i \(0.985875\pi\)
\(68\) 3.76788 12.1026i 0.456923 1.46765i
\(69\) −1.65353 + 3.60179i −0.199061 + 0.433605i
\(70\) −0.394648 1.60026i −0.0471695 0.191268i
\(71\) −1.97014 + 1.97014i −0.233813 + 0.233813i −0.814282 0.580469i \(-0.802869\pi\)
0.580469 + 0.814282i \(0.302869\pi\)
\(72\) −4.27564 + 7.32932i −0.503888 + 0.863769i
\(73\) 9.48914 + 9.48914i 1.11062 + 1.11062i 0.993067 + 0.117554i \(0.0375052\pi\)
0.117554 + 0.993067i \(0.462495\pi\)
\(74\) −4.78299 + 7.91434i −0.556011 + 0.920023i
\(75\) −7.60626 3.49192i −0.878295 0.403212i
\(76\) −0.895703 + 1.07533i −0.102744 + 0.123349i
\(77\) 2.01925 + 0.836400i 0.230115 + 0.0953166i
\(78\) −7.49647 11.0330i −0.848808 1.24924i
\(79\) −8.75751 −0.985297 −0.492649 0.870228i \(-0.663971\pi\)
−0.492649 + 0.870228i \(0.663971\pi\)
\(80\) −1.60251 0.343130i −0.179166 0.0383631i
\(81\) 1.35150 8.89795i 0.150167 0.988661i
\(82\) −10.9190 1.66040i −1.20581 0.183361i
\(83\) −6.60293 + 15.9409i −0.724766 + 1.74974i −0.0654719 + 0.997854i \(0.520855\pi\)
−0.659294 + 0.751885i \(0.729145\pi\)
\(84\) −7.32847 6.58748i −0.799602 0.718753i
\(85\) −2.39898 + 0.993689i −0.260206 + 0.107781i
\(86\) −0.777170 + 1.28597i −0.0838044 + 0.138670i
\(87\) 9.25246 + 0.348838i 0.991968 + 0.0373993i
\(88\) 1.62609 1.44172i 0.173342 0.153688i
\(89\) 6.11535 + 6.11535i 0.648226 + 0.648226i 0.952564 0.304338i \(-0.0984353\pi\)
−0.304338 + 0.952564i \(0.598435\pi\)
\(90\) 1.71423 0.287948i 0.180695 0.0303524i
\(91\) 14.3113 5.92795i 1.50024 0.621418i
\(92\) −4.05158 + 2.12777i −0.422407 + 0.221836i
\(93\) 9.34579 3.46469i 0.969113 0.359271i
\(94\) 11.9394 8.78755i 1.23145 0.906366i
\(95\) 0.286694 0.0294142
\(96\) −9.07753 + 3.68761i −0.926472 + 0.376365i
\(97\) −5.09195 −0.517009 −0.258505 0.966010i \(-0.583230\pi\)
−0.258505 + 0.966010i \(0.583230\pi\)
\(98\) 1.24351 0.915239i 0.125613 0.0924531i
\(99\) −1.03994 + 2.05709i −0.104518 + 0.206745i
\(100\) −4.49343 8.55613i −0.449343 0.855613i
\(101\) 2.33659 0.967847i 0.232499 0.0963044i −0.263392 0.964689i \(-0.584841\pi\)
0.495892 + 0.868384i \(0.334841\pi\)
\(102\) −8.52447 + 12.9745i −0.844048 + 1.28467i
\(103\) −6.15411 6.15411i −0.606383 0.606383i 0.335616 0.941999i \(-0.391055\pi\)
−0.941999 + 0.335616i \(0.891055\pi\)
\(104\) 0.924003 15.3746i 0.0906060 1.50761i
\(105\) −0.0760526 + 2.01720i −0.00742198 + 0.196858i
\(106\) 1.28938 2.13352i 0.125236 0.207226i
\(107\) −1.19264 + 0.494009i −0.115297 + 0.0477576i −0.439586 0.898200i \(-0.644875\pi\)
0.324289 + 0.945958i \(0.394875\pi\)
\(108\) 7.50957 7.18375i 0.722609 0.691257i
\(109\) −0.933827 + 2.25446i −0.0894444 + 0.215938i −0.962271 0.272092i \(-0.912284\pi\)
0.872827 + 0.488030i \(0.162284\pi\)
\(110\) −0.440126 0.0669277i −0.0419644 0.00638130i
\(111\) 8.30449 7.70104i 0.788227 0.730951i
\(112\) −2.05681 11.1910i −0.194350 1.05745i
\(113\) −7.02329 −0.660696 −0.330348 0.943859i \(-0.607166\pi\)
−0.330348 + 0.943859i \(0.607166\pi\)
\(114\) 1.41774 0.963294i 0.132784 0.0902207i
\(115\) 0.866116 + 0.358757i 0.0807657 + 0.0334543i
\(116\) 8.21489 + 6.84265i 0.762733 + 0.635324i
\(117\) 5.09756 + 15.5210i 0.471270 + 1.43492i
\(118\) −6.40484 + 10.5980i −0.589613 + 0.975624i
\(119\) −12.7481 12.7481i −1.16861 1.16861i
\(120\) 1.77059 + 0.945343i 0.161632 + 0.0862976i
\(121\) −7.36074 + 7.36074i −0.669158 + 0.669158i
\(122\) −1.52002 6.16352i −0.137616 0.558019i
\(123\) 12.2932 + 5.64363i 1.10844 + 0.508869i
\(124\) 10.9890 + 3.42120i 0.986845 + 0.307233i
\(125\) −1.54156 + 3.72167i −0.137882 + 0.332876i
\(126\) 6.40170 + 10.2308i 0.570309 + 0.911436i
\(127\) 5.12307i 0.454599i 0.973825 + 0.227299i \(0.0729896\pi\)
−0.973825 + 0.227299i \(0.927010\pi\)
\(128\) −10.9009 3.02822i −0.963514 0.267659i
\(129\) 1.34937 1.25131i 0.118805 0.110172i
\(130\) −2.54115 + 1.87032i −0.222873 + 0.164038i
\(131\) 13.0406 + 5.40161i 1.13937 + 0.471941i 0.870955 0.491363i \(-0.163501\pi\)
0.268412 + 0.963304i \(0.413501\pi\)
\(132\) −2.40136 + 1.14786i −0.209012 + 0.0999084i
\(133\) 0.761739 + 1.83900i 0.0660512 + 0.159462i
\(134\) 9.51480 2.34649i 0.821954 0.202706i
\(135\) −2.11531 0.240166i −0.182057 0.0206702i
\(136\) −16.9431 + 5.85407i −1.45286 + 0.501982i
\(137\) 5.19191 5.19191i 0.443575 0.443575i −0.449637 0.893211i \(-0.648447\pi\)
0.893211 + 0.449637i \(0.148447\pi\)
\(138\) 5.48849 1.13605i 0.467211 0.0967073i
\(139\) 2.91660 + 7.04129i 0.247383 + 0.597234i 0.997980 0.0635252i \(-0.0202343\pi\)
−0.750598 + 0.660759i \(0.770234\pi\)
\(140\) −1.49182 + 1.79099i −0.126082 + 0.151366i
\(141\) −17.0242 + 6.31124i −1.43370 + 0.531502i
\(142\) 3.89550 + 0.592368i 0.326903 + 0.0497104i
\(143\) 4.18403i 0.349886i
\(144\) 11.9321 1.27433i 0.994345 0.106194i
\(145\) 2.19018i 0.181884i
\(146\) 2.85313 18.7626i 0.236127 1.55280i
\(147\) −1.77310 + 0.657327i −0.146243 + 0.0542154i
\(148\) 13.0238 1.18689i 1.07055 0.0975620i
\(149\) −7.55828 18.2473i −0.619199 1.49488i −0.852636 0.522506i \(-0.824997\pi\)
0.233437 0.972372i \(1.57500\pi\)
\(150\) 2.39912 + 11.5906i 0.195887 + 0.946367i
\(151\) −8.19627 + 8.19627i −0.667003 + 0.667003i −0.957021 0.290018i \(-0.906339\pi\)
0.290018 + 0.957021i \(0.406339\pi\)
\(152\) 1.97564 + 0.118734i 0.160245 + 0.00963061i
\(153\) 14.4186 12.3940i 1.16568 1.00199i
\(154\) −0.740097 3.00102i −0.0596387 0.241829i
\(155\) −0.902261 2.17825i −0.0724713 0.174961i
\(156\) −6.28203 + 17.7872i −0.502965 + 1.42412i
\(157\) −1.42476 0.590154i −0.113708 0.0470994i 0.325104 0.945678i \(-0.394601\pi\)
−0.438812 + 0.898579i \(0.644601\pi\)
\(158\) 7.34141 + 9.97456i 0.584051 + 0.793533i
\(159\) −2.23869 + 2.07602i −0.177540 + 0.164639i
\(160\) 0.952563 + 2.11285i 0.0753067 + 0.167036i
\(161\) 6.50892i 0.512975i
\(162\) −11.2675 + 5.91981i −0.885256 + 0.465104i
\(163\) 0.927085 2.23818i 0.0726149 0.175308i −0.883405 0.468611i \(-0.844755\pi\)
0.956019 + 0.293303i \(0.0947546\pi\)
\(164\) 7.26226 + 13.8284i 0.567087 + 1.07982i
\(165\) 0.495516 + 0.227484i 0.0385759 + 0.0177096i
\(166\) 23.6914 5.84267i 1.83881 0.453479i
\(167\) 13.4441 13.4441i 1.04033 1.04033i 0.0411813 0.999152i \(-0.486888\pi\)
0.999152 0.0411813i \(-0.0131121\pi\)
\(168\) −1.35951 + 13.8692i −0.104888 + 1.07003i
\(169\) −11.7763 11.7763i −0.905866 0.905866i
\(170\) 3.14284 + 1.89936i 0.241045 + 0.145674i
\(171\) −1.99445 + 0.655035i −0.152519 + 0.0500918i
\(172\) 2.11619 0.192854i 0.161358 0.0147050i
\(173\) 5.11484 + 2.11864i 0.388874 + 0.161077i 0.568550 0.822649i \(-0.307505\pi\)
−0.179675 + 0.983726i \(0.557505\pi\)
\(174\) −7.35901 10.8307i −0.557885 0.821075i
\(175\) −13.7455 −1.03906
\(176\) −3.00523 0.643483i −0.226528 0.0485043i
\(177\) 11.1204 10.3124i 0.835863 0.775125i
\(178\) 1.83872 12.0917i 0.137818 0.906311i
\(179\) 2.02160 4.88057i 0.151101 0.364791i −0.830145 0.557547i \(-0.811743\pi\)
0.981247 + 0.192756i \(0.0617426\pi\)
\(180\) −1.76500 1.71107i −0.131555 0.127535i
\(181\) 8.06344 3.33999i 0.599351 0.248259i −0.0623171 0.998056i \(-0.519849\pi\)
0.661668 + 0.749797i \(0.269849\pi\)
\(182\) −18.7489 11.3308i −1.38976 0.839896i
\(183\) −0.292922 + 7.76939i −0.0216535 + 0.574330i
\(184\) 5.81991 + 2.83093i 0.429049 + 0.208699i
\(185\) −1.89436 1.89436i −0.139276 0.139276i
\(186\) −11.7807 7.74014i −0.863806 0.567535i
\(187\) −4.49888 + 1.86350i −0.328991 + 0.136272i
\(188\) −20.0175 6.23203i −1.45993 0.454518i
\(189\) −4.07979 14.2068i −0.296761 1.03339i
\(190\) −0.240335 0.326536i −0.0174357 0.0236894i
\(191\) 10.8066 0.781940 0.390970 0.920404i \(-0.372140\pi\)
0.390970 + 0.920404i \(0.372140\pi\)
\(192\) 11.8098 + 7.24773i 0.852296 + 0.523060i
\(193\) −5.82359 −0.419192 −0.209596 0.977788i \(-0.567215\pi\)
−0.209596 + 0.977788i \(0.567215\pi\)
\(194\) 4.26857 + 5.79959i 0.306466 + 0.416386i
\(195\) 3.62338 1.34327i 0.259476 0.0961933i
\(196\) −2.08486 0.649077i −0.148919 0.0463627i
\(197\) −19.4552 + 8.05861i −1.38613 + 0.574152i −0.946112 0.323839i \(-0.895026\pi\)
−0.440014 + 0.897991i \(0.645026\pi\)
\(198\) 3.21474 0.539998i 0.228462 0.0383760i
\(199\) 1.63519 + 1.63519i 0.115916 + 0.115916i 0.762685 0.646770i \(-0.223880\pi\)
−0.646770 + 0.762685i \(0.723880\pi\)
\(200\) −5.97836 + 12.2905i −0.422734 + 0.869068i
\(201\) −11.9938 0.452193i −0.845979 0.0318952i
\(202\) −3.06111 1.84996i −0.215379 0.130163i
\(203\) 14.0489 5.81925i 0.986040 0.408431i
\(204\) 21.9236 1.16738i 1.53496 0.0817331i
\(205\) 1.22447 2.95612i 0.0855205 0.206465i
\(206\) −1.85038 + 12.1683i −0.128922 + 0.847808i
\(207\) −6.84500 0.516877i −0.475760 0.0359254i
\(208\) −18.2859 + 11.8361i −1.26790 + 0.820687i
\(209\) 0.537647 0.0371898
\(210\) 2.36128 1.60439i 0.162944 0.110713i
\(211\) 13.4379 + 5.56618i 0.925106 + 0.383192i 0.793820 0.608153i \(-0.208089\pi\)
0.131286 + 0.991344i \(0.458089\pi\)
\(212\) −3.51090 + 0.319958i −0.241130 + 0.0219748i
\(213\) −4.38575 2.01343i −0.300507 0.137958i
\(214\) 1.56245 + 0.944259i 0.106807 + 0.0645482i
\(215\) −0.307807 0.307807i −0.0209923 0.0209923i
\(216\) −14.4774 2.53106i −0.985059 0.172217i
\(217\) 11.5751 11.5751i 0.785771 0.785771i
\(218\) 3.35059 0.826306i 0.226930 0.0559645i
\(219\) −9.69766 + 21.1239i −0.655307 + 1.42742i
\(220\) 0.292728 + 0.557396i 0.0197357 + 0.0375797i
\(221\) −13.2075 + 31.8856i −0.888430 + 2.14486i
\(222\) −15.7329 3.00280i −1.05592 0.201535i
\(223\) 0.106627i 0.00714024i 0.999994 + 0.00357012i \(0.00113641\pi\)
−0.999994 + 0.00357012i \(0.998864\pi\)
\(224\) −11.0220 + 11.7240i −0.736437 + 0.783345i
\(225\) 1.09154 14.4553i 0.0727694 0.963684i
\(226\) 5.88761 + 7.99933i 0.391638 + 0.532107i
\(227\) −21.0312 8.71141i −1.39589 0.578196i −0.447208 0.894430i \(-0.647582\pi\)
−0.948681 + 0.316233i \(0.897582\pi\)
\(228\) −2.28565 0.807239i −0.151371 0.0534607i
\(229\) −1.56199 3.77098i −0.103219 0.249193i 0.863830 0.503784i \(-0.168059\pi\)
−0.967049 + 0.254591i \(0.918059\pi\)
\(230\) −0.317450 1.28723i −0.0209320 0.0848772i
\(231\) −0.142624 + 3.78291i −0.00938397 + 0.248898i
\(232\) 0.907060 15.0927i 0.0595514 0.990885i
\(233\) 4.47635 4.47635i 0.293255 0.293255i −0.545110 0.838365i \(-0.683512\pi\)
0.838365 + 0.545110i \(0.183512\pi\)
\(234\) 13.4047 18.8172i 0.876294 1.23012i
\(235\) 1.64355 + 3.96788i 0.107213 + 0.258836i
\(236\) 17.4400 1.58935i 1.13525 0.103458i
\(237\) −5.27262 14.2226i −0.342493 0.923855i
\(238\) −3.83300 + 25.2063i −0.248456 + 1.63388i
\(239\) 8.68031i 0.561483i −0.959783 0.280741i \(-0.909420\pi\)
0.959783 0.280741i \(-0.0905803\pi\)
\(240\) −0.407560 2.80913i −0.0263079 0.181328i
\(241\) 4.55656i 0.293514i 0.989173 + 0.146757i \(0.0468835\pi\)
−0.989173 + 0.146757i \(0.953117\pi\)
\(242\) 14.5542 + 2.21318i 0.935577 + 0.142268i
\(243\) 15.2643 3.16227i 0.979208 0.202860i
\(244\) −5.74585 + 6.89813i −0.367840 + 0.441607i
\(245\) 0.171179 + 0.413262i 0.0109362 + 0.0264023i
\(246\) −3.87744 18.7327i −0.247217 1.19435i
\(247\) 2.69446 2.69446i 0.171445 0.171445i
\(248\) −5.31544 15.3842i −0.337531 0.976898i
\(249\) −29.8641 1.12594i −1.89256 0.0713536i
\(250\) 5.53116 1.36407i 0.349821 0.0862712i
\(251\) 0.750992 + 1.81305i 0.0474022 + 0.114439i 0.945807 0.324729i \(-0.105273\pi\)
−0.898405 + 0.439168i \(0.855273\pi\)
\(252\) 6.28611 15.8679i 0.395988 0.999581i
\(253\) 1.62426 + 0.672789i 0.102116 + 0.0422979i
\(254\) 5.83503 4.29466i 0.366122 0.269471i
\(255\) −3.05814 3.29777i −0.191508 0.206515i
\(256\) 5.68916 + 14.9544i 0.355573 + 0.934649i
\(257\) 13.4127i 0.836663i 0.908294 + 0.418332i \(0.137385\pi\)
−0.908294 + 0.418332i \(0.862615\pi\)
\(258\) −2.55638 0.487914i −0.159153 0.0303762i
\(259\) 7.11811 17.1846i 0.442298 1.06780i
\(260\) 4.26048 + 1.32641i 0.264223 + 0.0822603i
\(261\) 5.00409 + 15.2364i 0.309745 + 0.943110i
\(262\) −4.77967 19.3811i −0.295289 1.19737i
\(263\) −18.7027 + 18.7027i −1.15326 + 1.15326i −0.167359 + 0.985896i \(0.553524\pi\)
−0.985896 + 0.167359i \(0.946476\pi\)
\(264\) 3.32044 + 1.77283i 0.204359 + 0.109110i
\(265\) 0.510674 + 0.510674i 0.0313705 + 0.0313705i
\(266\) 1.45601 2.40923i 0.0892734 0.147719i
\(267\) −6.24973 + 13.6134i −0.382477 + 0.833130i
\(268\) −10.6488 8.87003i −0.650481 0.541823i
\(269\) 6.20132 + 2.56867i 0.378101 + 0.156615i 0.563636 0.826023i \(-0.309402\pi\)
−0.185535 + 0.982638i \(0.559402\pi\)
\(270\) 1.49972 + 2.61061i 0.0912701 + 0.158877i
\(271\) 26.4006 1.60372 0.801860 0.597512i \(-0.203844\pi\)
0.801860 + 0.597512i \(0.203844\pi\)
\(272\) 20.8710 + 14.3903i 1.26549 + 0.872538i
\(273\) 18.2436 + 19.6732i 1.10416 + 1.19068i
\(274\) −10.2658 1.56107i −0.620180 0.0943075i
\(275\) −1.42079 + 3.43010i −0.0856772 + 0.206843i
\(276\) −5.89492 5.29888i −0.354833 0.318955i
\(277\) −11.8110 + 4.89227i −0.709654 + 0.293948i −0.708161 0.706051i \(-0.750475\pi\)
−0.00149230 + 0.999999i \(0.500475\pi\)
\(278\) 5.57485 9.22462i 0.334357 0.553256i
\(279\) 11.2536 + 13.0920i 0.673736 + 0.783796i
\(280\) 3.29047 + 0.197755i 0.196643 + 0.0118181i
\(281\) 10.9033 + 10.9033i 0.650433 + 0.650433i 0.953097 0.302664i \(-0.0978760\pi\)
−0.302664 + 0.953097i \(0.597876\pi\)
\(282\) 21.4597 + 14.0994i 1.27790 + 0.839605i
\(283\) −8.86260 + 3.67101i −0.526827 + 0.218219i −0.630213 0.776423i \(-0.717032\pi\)
0.103386 + 0.994641i \(0.467032\pi\)
\(284\) −2.59090 4.93344i −0.153742 0.292746i
\(285\) 0.172609 + 0.465603i 0.0102245 + 0.0275800i
\(286\) −4.76549 + 3.50747i −0.281789 + 0.207401i
\(287\) 22.2155 1.31134
\(288\) −11.4541 12.5221i −0.674941 0.737872i
\(289\) 23.1674 1.36279
\(290\) −2.49455 + 1.83602i −0.146485 + 0.107815i
\(291\) −3.06570 8.26954i −0.179715 0.484769i
\(292\) −23.7618 + 12.4790i −1.39056 + 0.730279i
\(293\) 20.0666 8.31184i 1.17230 0.485583i 0.290348 0.956921i \(-0.406229\pi\)
0.881952 + 0.471338i \(0.156229\pi\)
\(294\) 2.23506 + 1.46847i 0.130352 + 0.0856431i
\(295\) −2.53671 2.53671i −0.147693 0.147693i
\(296\) −12.2696 13.8387i −0.713159 0.804360i
\(297\) −3.96691 0.450392i −0.230184 0.0261344i
\(298\) −14.4471 + 23.9054i −0.836896 + 1.38480i
\(299\) 11.5118 4.76836i 0.665747 0.275761i
\(300\) 11.1902 12.4489i 0.646065 0.718737i
\(301\) 1.15660 2.79227i 0.0666650 0.160944i
\(302\) 16.2062 + 2.46440i 0.932564 + 0.141810i
\(303\) 2.97861 + 3.21201i 0.171117 + 0.184525i
\(304\) −1.52094 2.34973i −0.0872317 0.134766i
\(305\) 1.83911 0.105307
\(306\) −26.2035 6.03256i −1.49795 0.344858i
\(307\) 0.548682 + 0.227272i 0.0313149 + 0.0129711i 0.398286 0.917261i \(-0.369605\pi\)
−0.366971 + 0.930232i \(0.619605\pi\)
\(308\) −2.79765 + 3.35870i −0.159411 + 0.191380i
\(309\) 6.28934 13.6997i 0.357788 0.779351i
\(310\) −1.72460 + 2.85367i −0.0979508 + 0.162078i
\(311\) −8.31914 8.31914i −0.471735 0.471735i 0.430741 0.902476i \(-0.358252\pi\)
−0.902476 + 0.430741i \(0.858252\pi\)
\(312\) 25.5254 7.75596i 1.44509 0.439095i
\(313\) 5.90243 5.90243i 0.333625 0.333625i −0.520336 0.853961i \(-0.674193\pi\)
0.853961 + 0.520336i \(0.174193\pi\)
\(314\) 0.522203 + 2.11748i 0.0294696 + 0.119496i
\(315\) −3.32180 + 1.09098i −0.187162 + 0.0614696i
\(316\) 5.20645 16.7233i 0.292885 0.940760i
\(317\) −0.432895 + 1.04510i −0.0243138 + 0.0586987i −0.935570 0.353141i \(-0.885114\pi\)
0.911256 + 0.411840i \(0.135114\pi\)
\(318\) 4.24122 + 0.809484i 0.237836 + 0.0453936i
\(319\) 4.10731i 0.229965i
\(320\) 1.60795 2.85614i 0.0898870 0.159663i
\(321\) −1.52034 1.63948i −0.0848573 0.0915066i
\(322\) 7.41347 5.45642i 0.413137 0.304074i
\(323\) −4.09729 1.69715i −0.227979 0.0944321i
\(324\) 16.1880 + 7.87076i 0.899333 + 0.437264i
\(325\) 10.0698 + 24.3107i 0.558573 + 1.34852i
\(326\) −3.32640 + 0.820340i −0.184232 + 0.0454344i
\(327\) −4.22356 0.159237i −0.233564 0.00880584i
\(328\) 9.66219 19.8638i 0.533505 1.09680i
\(329\) −21.0851 + 21.0851i −1.16246 + 1.16246i
\(330\) −0.156293 0.755079i −0.00860362 0.0415657i
\(331\) −6.16978 14.8952i −0.339122 0.818713i −0.997801 0.0662882i \(-0.978884\pi\)
0.658679 0.752424i \(-0.271116\pi\)
\(332\) −26.5151 22.0860i −1.45521 1.21213i
\(333\) 17.5067 + 8.85029i 0.959361 + 0.484993i
\(334\) −26.5825 4.04227i −1.45453 0.221183i
\(335\) 2.83909i 0.155116i
\(336\) 16.9363 10.0781i 0.923950 0.549804i
\(337\) 17.2474i 0.939527i 0.882792 + 0.469763i \(0.155661\pi\)
−0.882792 + 0.469763i \(0.844339\pi\)
\(338\) −3.54080 + 23.2848i −0.192594 + 1.26653i
\(339\) −4.22850 11.4061i −0.229661 0.619496i
\(340\) −0.471324 5.17184i −0.0255611 0.280482i
\(341\) −1.69204 4.08494i −0.0916291 0.221212i
\(342\) 2.41801 + 1.72250i 0.130751 + 0.0931423i
\(343\) 11.8840 11.8840i 0.641677 0.641677i
\(344\) −1.99365 2.24861i −0.107490 0.121237i
\(345\) −0.0611757 + 1.62261i −0.00329359 + 0.0873581i
\(346\) −1.87470 7.60171i −0.100784 0.408670i
\(347\) −3.34246 8.06942i −0.179433 0.433189i 0.808415 0.588613i \(-0.200326\pi\)
−0.987848 + 0.155424i \(0.950326\pi\)
\(348\) −6.16684 + 17.4611i −0.330577 + 0.936012i
\(349\) −22.7745 9.43351i −1.21909 0.504964i −0.321971 0.946750i \(-0.604345\pi\)
−0.897121 + 0.441785i \(0.854345\pi\)
\(350\) 11.5229 + 15.6558i 0.615923 + 0.836836i
\(351\) −22.1377 + 17.6234i −1.18162 + 0.940666i
\(352\) 1.78637 + 3.96230i 0.0952140 + 0.211192i
\(353\) 7.05617i 0.375562i −0.982211 0.187781i \(-0.939870\pi\)
0.982211 0.187781i \(-0.0601295\pi\)
\(354\) −21.0677 4.02101i −1.11974 0.213714i
\(355\) −0.436843 + 1.05463i −0.0231852 + 0.0559741i
\(356\) −15.3135 + 8.04220i −0.811614 + 0.426236i
\(357\) 13.0282 28.3786i 0.689525 1.50195i
\(358\) −7.25353 + 1.78883i −0.383361 + 0.0945426i
\(359\) −17.9832 + 17.9832i −0.949116 + 0.949116i −0.998767 0.0496509i \(-0.984189\pi\)
0.0496509 + 0.998767i \(0.484189\pi\)
\(360\) −0.469264 + 3.44467i −0.0247324 + 0.181550i
\(361\) −13.0888 13.0888i −0.688884 0.688884i
\(362\) −10.5637 6.38412i −0.555216 0.335542i
\(363\) −16.3858 7.52249i −0.860032 0.394828i
\(364\) 2.81173 + 30.8531i 0.147375 + 1.61714i
\(365\) 5.07962 + 2.10405i 0.265879 + 0.110131i
\(366\) 9.09466 6.17943i 0.475386 0.323004i
\(367\) 9.28729 0.484792 0.242396 0.970177i \(-0.422067\pi\)
0.242396 + 0.970177i \(0.422067\pi\)
\(368\) −1.65447 9.00187i −0.0862453 0.469255i
\(369\) −1.76414 + 23.3625i −0.0918376 + 1.21621i
\(370\) −0.569582 + 3.74565i −0.0296112 + 0.194727i
\(371\) −1.91887 + 4.63257i −0.0996230 + 0.240511i
\(372\) 1.05997 + 19.9065i 0.0549570 + 1.03210i
\(373\) 31.7209 13.1392i 1.64244 0.680323i 0.645902 0.763420i \(-0.276481\pi\)
0.996541 + 0.0830975i \(0.0264813\pi\)
\(374\) 5.89387 + 3.56193i 0.304765 + 0.184183i
\(375\) −6.97227 0.262869i −0.360046 0.0135745i
\(376\) 9.68256 + 28.0237i 0.499340 + 1.44521i
\(377\) −20.5841 20.5841i −1.06014 1.06014i
\(378\) −12.7611 + 16.5563i −0.656359 + 0.851565i
\(379\) −28.0588 + 11.6223i −1.44128 + 0.596999i −0.960109 0.279626i \(-0.909789\pi\)
−0.481174 + 0.876625i \(0.659789\pi\)
\(380\) −0.170443 + 0.547470i −0.00874354 + 0.0280846i
\(381\) −8.32008 + 3.08444i −0.426251 + 0.158021i
\(382\) −9.05917 12.3084i −0.463508 0.629754i
\(383\) 5.32676 0.272185 0.136092 0.990696i \(-0.456546\pi\)
0.136092 + 0.990696i \(0.456546\pi\)
\(384\) −1.64514 19.5267i −0.0839532 0.996470i
\(385\) 0.895464 0.0456371
\(386\) 4.88191 + 6.63291i 0.248483 + 0.337606i
\(387\) 2.84460 + 1.43805i 0.144599 + 0.0731002i
\(388\) 3.02722 9.72357i 0.153684 0.493639i
\(389\) 20.0435 8.30227i 1.01624 0.420942i 0.188515 0.982070i \(-0.439633\pi\)
0.827729 + 0.561128i \(0.189633\pi\)
\(390\) −4.56742 3.00087i −0.231280 0.151955i
\(391\) −10.2544 10.2544i −0.518585 0.518585i
\(392\) 1.00846 + 2.91872i 0.0509347 + 0.147418i
\(393\) −0.921090 + 24.4307i −0.0464628 + 1.23237i
\(394\) 25.4878 + 15.4034i 1.28406 + 0.776012i
\(395\) −3.31490 + 1.37308i −0.166791 + 0.0690869i
\(396\) −3.30996 3.20882i −0.166332 0.161249i
\(397\) −2.65193 + 6.40233i −0.133097 + 0.321323i −0.976351 0.216191i \(-0.930637\pi\)
0.843255 + 0.537514i \(0.180637\pi\)
\(398\) 0.491659 3.23322i 0.0246446 0.162067i
\(399\) −2.52800 + 2.34430i −0.126558 + 0.117362i
\(400\) 19.0101 3.49391i 0.950507 0.174696i
\(401\) −5.61080 −0.280190 −0.140095 0.990138i \(-0.544741\pi\)
−0.140095 + 0.990138i \(0.544741\pi\)
\(402\) 9.53937 + 14.0397i 0.475780 + 0.700236i
\(403\) −28.9519 11.9923i −1.44220 0.597377i
\(404\) 0.459067 + 5.03734i 0.0228394 + 0.250617i
\(405\) −0.883522 3.57995i −0.0439026 0.177889i
\(406\) −18.4051 11.1230i −0.913431 0.552027i
\(407\) −3.55255 3.55255i −0.176093 0.176093i
\(408\) −19.7082 23.9918i −0.975700 1.18777i
\(409\) −0.683364 + 0.683364i −0.0337902 + 0.0337902i −0.723800 0.690010i \(-0.757606\pi\)
0.690010 + 0.723800i \(0.257606\pi\)
\(410\) −4.39341 + 1.08348i −0.216975 + 0.0535093i
\(411\) 11.5578 + 5.30600i 0.570102 + 0.261725i
\(412\) 15.4106 8.09317i 0.759224 0.398722i
\(413\) 9.53177 23.0117i 0.469028 1.13233i
\(414\) 5.14944 + 8.22956i 0.253081 + 0.404461i
\(415\) 7.06921i 0.347014i
\(416\) 28.8100 + 10.9049i 1.41253 + 0.534655i
\(417\) −9.67936 + 8.97601i −0.474000 + 0.439557i
\(418\) −0.450708 0.612364i −0.0220449 0.0299517i
\(419\) −16.8772 6.99075i −0.824503 0.341521i −0.0697790 0.997562i \(-0.522229\pi\)
−0.754724 + 0.656042i \(0.772229\pi\)
\(420\) −3.80682 1.34448i −0.185754 0.0656038i
\(421\) −7.36473 17.7800i −0.358935 0.866546i −0.995450 0.0952818i \(-0.969625\pi\)
0.636515 0.771264i \(-0.280375\pi\)
\(422\) −4.92529 19.9716i −0.239759 0.972200i
\(423\) −20.4994 23.8482i −0.996717 1.15954i
\(424\) 3.30761 + 3.73060i 0.160632 + 0.181174i
\(425\) 21.6552 21.6552i 1.05043 1.05043i
\(426\) 1.38332 + 6.68310i 0.0670223 + 0.323797i
\(427\) 4.88648 + 11.7970i 0.236473 + 0.570897i
\(428\) −0.234317 2.57116i −0.0113261 0.124282i
\(429\) 6.79505 2.51907i 0.328068 0.121622i
\(430\) −0.0925493 + 0.608618i −0.00446312 + 0.0293502i
\(431\) 18.7398i 0.902664i −0.892356 0.451332i \(-0.850949\pi\)
0.892356 0.451332i \(-0.149051\pi\)
\(432\) 9.25353 + 18.6111i 0.445211 + 0.895426i
\(433\) 2.88137i 0.138470i −0.997600 0.0692349i \(-0.977944\pi\)
0.997600 0.0692349i \(-0.0220558\pi\)
\(434\) −22.8871 3.48033i −1.09862 0.167061i
\(435\) 3.55694 1.31864i 0.170542 0.0632237i
\(436\) −3.74993 3.12353i −0.179589 0.149590i
\(437\) 0.612733 + 1.47927i 0.0293110 + 0.0707630i
\(438\) 32.1890 6.66276i 1.53805 0.318359i
\(439\) 6.54440 6.54440i 0.312347 0.312347i −0.533471 0.845818i \(-0.679113\pi\)
0.845818 + 0.533471i \(0.179113\pi\)
\(440\) 0.389465 0.800674i 0.0185670 0.0381706i
\(441\) −2.13505 2.48383i −0.101669 0.118278i
\(442\) 47.3886 11.6867i 2.25405 0.555882i
\(443\) 5.97491 + 14.4247i 0.283877 + 0.685339i 0.999919 0.0127177i \(-0.00404829\pi\)
−0.716042 + 0.698057i \(0.754048\pi\)
\(444\) 9.76876 + 20.4366i 0.463605 + 0.969877i
\(445\) 3.27360 + 1.35597i 0.155184 + 0.0642791i
\(446\) 0.121445 0.0893848i 0.00575057 0.00423250i
\(447\) 25.0838 23.2611i 1.18642 1.10021i
\(448\) 22.5930 + 2.72549i 1.06742 + 0.128767i
\(449\) 2.52116i 0.118981i 0.998229 + 0.0594905i \(0.0189476\pi\)
−0.998229 + 0.0594905i \(0.981052\pi\)
\(450\) −17.3792 + 10.8746i −0.819262 + 0.512633i
\(451\) 2.29628 5.54372i 0.108128 0.261043i
\(452\) 4.17543 13.4116i 0.196396 0.630831i
\(453\) −18.2458 8.37638i −0.857263 0.393557i
\(454\) 7.70837 + 31.2567i 0.361772 + 1.46695i
\(455\) 4.48770 4.48770i 0.210387 0.210387i
\(456\) 0.996638 + 3.28000i 0.0466718 + 0.153600i
\(457\) 26.6180 + 26.6180i 1.24514 + 1.24514i 0.957842 + 0.287295i \(0.0927560\pi\)
0.287295 + 0.957842i \(0.407244\pi\)
\(458\) −2.98562 + 4.94027i −0.139509 + 0.230844i
\(459\) 28.8093 + 15.9544i 1.34470 + 0.744689i
\(460\) −1.20000 + 1.44065i −0.0559502 + 0.0671705i
\(461\) 16.9365 + 7.01532i 0.788810 + 0.326736i 0.740465 0.672095i \(-0.234605\pi\)
0.0483450 + 0.998831i \(0.484605\pi\)
\(462\) 4.42819 3.00877i 0.206018 0.139980i
\(463\) 22.1078 1.02744 0.513719 0.857959i \(-0.328268\pi\)
0.513719 + 0.857959i \(0.328268\pi\)
\(464\) −17.9505 + 11.6191i −0.833333 + 0.539402i
\(465\) 2.99435 2.77677i 0.138860 0.128769i
\(466\) −8.85094 1.34592i −0.410012 0.0623484i
\(467\) 11.0935 26.7822i 0.513348 1.23933i −0.428577 0.903505i \(-0.640985\pi\)
0.941924 0.335825i \(-0.109015\pi\)
\(468\) −32.6694 + 0.506846i −1.51015 + 0.0234289i
\(469\) −18.2114 + 7.54340i −0.840923 + 0.348322i
\(470\) 3.14152 5.19822i 0.144907 0.239776i
\(471\) 0.100634 2.66918i 0.00463696 0.122989i
\(472\) −16.4301 18.5313i −0.756258 0.852972i
\(473\) −0.577241 0.577241i −0.0265416 0.0265416i
\(474\) −11.7791 + 17.9281i −0.541031 + 0.823466i
\(475\) −3.12392 + 1.29397i −0.143335 + 0.0593714i
\(476\) 31.9225 16.7648i 1.46317 0.768411i
\(477\) −4.71939 2.38583i −0.216086 0.109240i
\(478\) −9.88662 + 7.27669i −0.452204 + 0.332828i
\(479\) −11.5288 −0.526765 −0.263382 0.964692i \(-0.584838\pi\)
−0.263382 + 0.964692i \(0.584838\pi\)
\(480\) −2.85786 + 2.81908i −0.130443 + 0.128673i
\(481\) −35.6078 −1.62358
\(482\) 5.18979 3.81975i 0.236388 0.173985i
\(483\) −10.5708 + 3.91881i −0.480986 + 0.178312i
\(484\) −9.67999 18.4321i −0.439999 0.837822i
\(485\) −1.92741 + 0.798358i −0.0875190 + 0.0362516i
\(486\) −16.3978 14.7347i −0.743820 0.668380i
\(487\) 24.3533 + 24.3533i 1.10355 + 1.10355i 0.993979 + 0.109575i \(0.0349489\pi\)
0.109575 + 0.993979i \(0.465051\pi\)
\(488\) 12.6735 + 0.761667i 0.573702 + 0.0344791i
\(489\) 4.19307 + 0.158088i 0.189617 + 0.00714897i
\(490\) 0.327194 0.541404i 0.0147811 0.0244581i
\(491\) 13.2408 5.48453i 0.597550 0.247513i −0.0633450 0.997992i \(-0.520177\pi\)
0.660895 + 0.750478i \(0.270177\pi\)
\(492\) −18.0855 + 20.1199i −0.815358 + 0.907073i
\(493\) −12.9653 + 31.3009i −0.583926 + 1.40972i
\(494\) −5.32768 0.810153i −0.239704 0.0364505i
\(495\) −0.0711093 + 0.941700i −0.00319613 + 0.0423263i
\(496\) −13.0662 + 18.9507i −0.586691 + 0.850911i
\(497\) −7.92564 −0.355513
\(498\) 23.7526 + 34.9582i 1.06438 + 1.56652i
\(499\) −6.79930 2.81636i −0.304378 0.126078i 0.225266 0.974297i \(-0.427675\pi\)
−0.529645 + 0.848220i \(0.677675\pi\)
\(500\) −6.19040 5.15634i −0.276843 0.230598i
\(501\) 29.9280 + 13.7395i 1.33708 + 0.613835i
\(502\) 1.43546 2.37524i 0.0640678 0.106012i
\(503\) 20.7317 + 20.7317i 0.924383 + 0.924383i 0.997335 0.0729527i \(-0.0232422\pi\)
−0.0729527 + 0.997335i \(0.523242\pi\)
\(504\) −23.3427 + 6.14230i −1.03977 + 0.273600i
\(505\) 0.732700 0.732700i 0.0326047 0.0326047i
\(506\) −0.595324 2.41398i −0.0264654 0.107314i
\(507\) 12.0350 26.2153i 0.534495 1.16426i
\(508\) −9.78299 3.04573i −0.434050 0.135132i
\(509\) −7.27710 + 17.5685i −0.322552 + 0.778708i 0.676553 + 0.736394i \(0.263473\pi\)
−0.999104 + 0.0423143i \(0.986527\pi\)
\(510\) −1.19243 + 6.24765i −0.0528019 + 0.276651i
\(511\) 38.1737i 1.68870i
\(512\) 12.2634 19.0160i 0.541970 0.840398i
\(513\) −2.26460 2.84469i −0.0999844 0.125596i
\(514\) 15.2767 11.2439i 0.673827 0.495946i
\(515\) −3.29435 1.36456i −0.145166 0.0601299i
\(516\) 1.58729 + 3.32066i 0.0698766 + 0.146184i
\(517\) 3.08220 + 7.44109i 0.135555 + 0.327259i
\(518\) −25.5399 + 6.29853i −1.12216 + 0.276741i
\(519\) −0.361273 + 9.58229i −0.0158581 + 0.420616i
\(520\) −2.06081 5.96449i −0.0903724 0.261560i
\(521\) −12.9964 + 12.9964i −0.569382 + 0.569382i −0.931955 0.362573i \(-0.881898\pi\)
0.362573 + 0.931955i \(0.381898\pi\)
\(522\) 13.1589 18.4722i 0.575950 0.808505i
\(523\) −13.8611 33.4638i −0.606105 1.46327i −0.867203 0.497955i \(-0.834084\pi\)
0.261097 0.965313i \(-0.415916\pi\)
\(524\) −18.0677 + 21.6910i −0.789292 + 0.947578i
\(525\) −8.27575 22.3233i −0.361183 0.974270i
\(526\) 36.9802 + 5.62339i 1.61241 + 0.245191i
\(527\) 36.4716i 1.58873i
\(528\) −0.764311 5.26805i −0.0332624 0.229262i
\(529\) 17.7643i 0.772361i
\(530\) 0.153546 1.00974i 0.00666961 0.0438603i
\(531\) 23.4430 + 11.8513i 1.01734 + 0.514303i
\(532\) −3.96461 + 0.361306i −0.171888 + 0.0156646i
\(533\) −16.2748 39.2909i −0.704940 1.70188i
\(534\) 20.7445 4.29387i 0.897701 0.185814i
\(535\) −0.373985 + 0.373985i −0.0161688 + 0.0161688i
\(536\) −1.17581 + 19.5644i −0.0507871 + 0.845055i
\(537\) 9.14339 + 0.344725i 0.394566 + 0.0148760i
\(538\) −2.27291 9.21644i −0.0979923 0.397349i
\(539\) 0.321017 + 0.775003i 0.0138272 + 0.0333817i
\(540\) 1.71620 3.89661i 0.0738534 0.167683i
\(541\) 0.814609 + 0.337422i 0.0350228 + 0.0145069i 0.400126 0.916460i \(-0.368966\pi\)
−0.365103 + 0.930967i \(0.618966\pi\)
\(542\) −22.1315 30.0695i −0.950631 1.29159i
\(543\) 10.2790 + 11.0845i 0.441115 + 0.475680i
\(544\) −1.10602 35.8348i −0.0474204 1.53640i
\(545\) 0.999771i 0.0428255i
\(546\) 7.11358 37.2710i 0.304433 1.59505i
\(547\) −11.6045 + 28.0158i −0.496173 + 1.19787i 0.455356 + 0.890310i \(0.349512\pi\)
−0.951529 + 0.307559i \(0.900488\pi\)
\(548\) 6.82779 + 13.0011i 0.291669 + 0.555379i
\(549\) −12.7942 + 4.20198i −0.546042 + 0.179336i
\(550\) 5.09784 1.25720i 0.217373 0.0536074i
\(551\) 2.64506 2.64506i 0.112683 0.112683i
\(552\) −1.09357 + 11.1562i −0.0465454 + 0.474839i
\(553\) −17.6152 17.6152i −0.749075 0.749075i
\(554\) 15.4733 + 9.35120i 0.657397 + 0.397294i
\(555\) 1.93598 4.21705i 0.0821780 0.179004i
\(556\) −15.1800 + 1.38339i −0.643774 + 0.0586689i
\(557\) −9.67547 4.00771i −0.409963 0.169812i 0.168164 0.985759i \(-0.446216\pi\)
−0.578127 + 0.815947i \(0.696216\pi\)
\(558\) 5.47751 23.7925i 0.231882 1.00722i
\(559\) −5.78579 −0.244713
\(560\) −2.53316 3.91353i −0.107046 0.165377i
\(561\) −5.73503 6.18442i −0.242133 0.261106i
\(562\) 3.27831 21.5587i 0.138287 0.909397i
\(563\) −7.67115 + 18.5198i −0.323300 + 0.780516i 0.675758 + 0.737124i \(0.263817\pi\)
−0.999058 + 0.0433923i \(0.986183\pi\)
\(564\) −1.93084 36.2614i −0.0813028 1.52688i
\(565\) −2.65846 + 1.10117i −0.111842 + 0.0463266i
\(566\) 11.6107 + 7.01685i 0.488033 + 0.294940i
\(567\) 20.6162 15.1792i 0.865797 0.637467i
\(568\) −3.44710 + 7.08666i −0.144637 + 0.297350i
\(569\) 3.36174 + 3.36174i 0.140932 + 0.140932i 0.774053 0.633121i \(-0.218227\pi\)
−0.633121 + 0.774053i \(0.718227\pi\)
\(570\) 0.385611 0.586911i 0.0161515 0.0245830i
\(571\) 14.6718 6.07726i 0.613996 0.254325i −0.0539402 0.998544i \(-0.517178\pi\)
0.667936 + 0.744219i \(0.267178\pi\)
\(572\) 7.98981 + 2.48746i 0.334071 + 0.104006i
\(573\) 6.50632 + 17.5504i 0.271806 + 0.733179i
\(574\) −18.6232 25.3028i −0.777317 1.05612i
\(575\) −11.0567 −0.461097
\(576\) −4.66035 + 23.5432i −0.194181 + 0.980966i
\(577\) 11.1656 0.464830 0.232415 0.972617i \(-0.425337\pi\)
0.232415 + 0.972617i \(0.425337\pi\)
\(578\) −19.4212 26.3870i −0.807815 1.09755i
\(579\) −3.50620 9.45777i −0.145713 0.393051i
\(580\) 4.18235 + 1.30209i 0.173663 + 0.0540662i
\(581\) −45.3455 + 18.7827i −1.88125 + 0.779239i
\(582\) −6.84880 + 10.4241i −0.283892 + 0.432092i
\(583\) 0.957684 + 0.957684i 0.0396632 + 0.0396632i
\(584\) 34.1328 + 16.6029i 1.41242 + 0.687033i
\(585\) 4.36305 + 5.07579i 0.180390 + 0.209858i
\(586\) −26.2887 15.8874i −1.08598 0.656304i
\(587\) −31.3098 + 12.9689i −1.29229 + 0.535286i −0.919668 0.392696i \(-0.871542\pi\)
−0.372625 + 0.927982i \(0.621542\pi\)
\(588\) −0.201100 3.77669i −0.00829322 0.155748i
\(589\) 1.54100 3.72030i 0.0634958 0.153292i
\(590\) −0.762721 + 5.01576i −0.0314007 + 0.206496i
\(591\) −24.8009 26.7442i −1.02017 1.10011i
\(592\) −5.47630 + 25.5758i −0.225075 + 1.05116i
\(593\) 21.0070 0.862656 0.431328 0.902195i \(-0.358045\pi\)
0.431328 + 0.902195i \(0.358045\pi\)
\(594\) 2.81247 + 4.89577i 0.115397 + 0.200876i
\(595\) −6.82414 2.82665i −0.279763 0.115881i
\(596\) 39.3385 3.58502i 1.61137 0.146848i
\(597\) −1.67113 + 3.64012i −0.0683947 + 0.148980i
\(598\) −15.0814 9.11435i −0.616724 0.372714i
\(599\) 4.73031 + 4.73031i 0.193275 + 0.193275i 0.797110 0.603835i \(-0.206361\pi\)
−0.603835 + 0.797110i \(0.706361\pi\)
\(600\) −23.5596 2.30940i −0.961818 0.0942807i
\(601\) 22.8135 22.8135i 0.930581 0.930581i −0.0671615 0.997742i \(-0.521394\pi\)
0.997742 + 0.0671615i \(0.0213943\pi\)
\(602\) −4.14989 + 1.02342i −0.169137 + 0.0417117i
\(603\) −6.48672 19.7507i −0.264160 0.804312i
\(604\) −10.7788 20.5243i −0.438583 0.835124i
\(605\) −1.63211 + 3.94027i −0.0663548 + 0.160195i
\(606\) 1.16142 6.08518i 0.0471796 0.247193i
\(607\) 20.5708i 0.834943i −0.908690 0.417472i \(-0.862916\pi\)
0.908690 0.417472i \(-0.137084\pi\)
\(608\) −1.40127 + 3.70208i −0.0568291 + 0.150139i
\(609\) 17.9091 + 19.3124i 0.725714 + 0.782579i
\(610\) −1.54173 2.09470i −0.0624226 0.0848118i
\(611\) 52.7384 + 21.8450i 2.13357 + 0.883753i
\(612\) 15.0954 + 34.9021i 0.610196 + 1.41083i
\(613\) −1.90289 4.59399i −0.0768571 0.185550i 0.880781 0.473524i \(-0.157018\pi\)
−0.957638 + 0.287974i \(0.907018\pi\)
\(614\) −0.201103 0.815455i −0.00811588 0.0329091i
\(615\) 5.53808 + 0.208798i 0.223317 + 0.00841953i
\(616\) 6.17073 + 0.370856i 0.248626 + 0.0149422i
\(617\) 2.85391 2.85391i 0.114894 0.114894i −0.647322 0.762216i \(-0.724111\pi\)
0.762216 + 0.647322i \(0.224111\pi\)
\(618\) −20.8760 + 4.32108i −0.839754 + 0.173819i
\(619\) 12.0551 + 29.1035i 0.484534 + 1.16977i 0.957434 + 0.288652i \(0.0932070\pi\)
−0.472901 + 0.881116i \(0.656793\pi\)
\(620\) 4.69598 0.427958i 0.188595 0.0171872i
\(621\) −3.28173 11.4278i −0.131691 0.458580i
\(622\) −2.50134 + 16.4492i −0.100295 + 0.659552i
\(623\) 24.6013i 0.985631i
\(624\) −30.2317 22.5709i −1.21024 0.903558i
\(625\) 22.5103i 0.900411i
\(626\) −11.6707 1.77470i −0.466455 0.0709313i
\(627\) 0.323700 + 0.873161i 0.0129273 + 0.0348707i
\(628\) 1.97399 2.36986i 0.0787708 0.0945676i
\(629\) 15.8591 + 38.2873i 0.632345 + 1.52662i
\(630\) 4.02725 + 2.86887i 0.160450 + 0.114299i
\(631\) −27.3014 + 27.3014i −1.08685 + 1.08685i −0.0910003 + 0.995851i \(0.529006\pi\)
−0.995851 + 0.0910003i \(0.970994\pi\)
\(632\) −23.4119 + 8.08913i −0.931276 + 0.321768i
\(633\) −0.949152 + 25.1750i −0.0377254 + 1.00062i
\(634\) 1.55324 0.383051i 0.0616868 0.0152129i
\(635\) 0.803237 + 1.93919i 0.0318755 + 0.0769543i
\(636\) −2.63343 5.50922i −0.104422 0.218455i
\(637\) 5.49280 + 2.27519i 0.217633 + 0.0901464i
\(638\) −4.67811 + 3.44315i −0.185208 + 0.136316i
\(639\) 0.629379 8.33487i 0.0248979 0.329722i
\(640\) −4.60101 + 0.562893i −0.181871 + 0.0222503i
\(641\) 34.3968i 1.35859i −0.733865 0.679295i \(-0.762286\pi\)
0.733865 0.679295i \(-0.237714\pi\)
\(642\) −0.592814 + 3.10600i −0.0233965 + 0.122584i
\(643\) −10.4779 + 25.2960i −0.413210 + 0.997576i 0.571061 + 0.820908i \(0.306532\pi\)
−0.984270 + 0.176669i \(0.943468\pi\)
\(644\) −12.4294 3.86963i −0.489787 0.152485i
\(645\) 0.314571 0.685213i 0.0123862 0.0269802i
\(646\) 1.50174 + 6.08942i 0.0590853 + 0.239585i
\(647\) 26.7097 26.7097i 1.05007 1.05007i 0.0513899 0.998679i \(-0.483635\pi\)
0.998679 0.0513899i \(-0.0163651\pi\)
\(648\) −4.60580 25.0357i −0.180933 0.983495i
\(649\) −4.75718 4.75718i −0.186735 0.186735i
\(650\) 19.2477 31.8489i 0.754956 1.24922i
\(651\) 25.7675 + 11.8295i 1.00991 + 0.463634i
\(652\) 3.72286 + 3.10098i 0.145798 + 0.121444i
\(653\) −40.0093 16.5724i −1.56569 0.648528i −0.579620 0.814887i \(-0.696799\pi\)
−0.986065 + 0.166358i \(0.946799\pi\)
\(654\) 3.35924 + 4.94400i 0.131357 + 0.193326i
\(655\) 5.78306 0.225963
\(656\) −30.7241 + 5.64685i −1.19958 + 0.220472i
\(657\) −40.1447 3.03139i −1.56620 0.118266i
\(658\) 41.6910 + 6.33973i 1.62528 + 0.247148i
\(659\) −6.33558 + 15.2955i −0.246799 + 0.595826i −0.997929 0.0643286i \(-0.979509\pi\)
0.751129 + 0.660155i \(0.229509\pi\)
\(660\) −0.728993 + 0.810994i −0.0283760 + 0.0315679i
\(661\) −13.2351 + 5.48218i −0.514787 + 0.213232i −0.624926 0.780684i \(-0.714871\pi\)
0.110138 + 0.993916i \(0.464871\pi\)
\(662\) −11.7931 + 19.5138i −0.458350 + 0.758425i
\(663\) −59.7354 2.25215i −2.31993 0.0874663i
\(664\) −2.92771 + 48.7146i −0.113617 + 1.89049i
\(665\) 0.576668 + 0.576668i 0.0223622 + 0.0223622i
\(666\) −4.59561 27.3588i −0.178076 1.06013i
\(667\) 11.3007 4.68092i 0.437567 0.181246i
\(668\) 17.6801 + 33.6654i 0.684063 + 1.30255i
\(669\) −0.173166 + 0.0641964i −0.00669499 + 0.00248198i
\(670\) 3.23364 2.38001i 0.124927 0.0919476i
\(671\) 3.44895 0.133145
\(672\) −25.6763 10.8415i −0.990485 0.418220i
\(673\) 20.2651 0.781160 0.390580 0.920569i \(-0.372274\pi\)
0.390580 + 0.920569i \(0.372274\pi\)
\(674\) 19.6443 14.4585i 0.756671 0.556920i
\(675\) 24.1331 6.93035i 0.928885 0.266749i
\(676\) 29.4890 15.4868i 1.13419 0.595645i
\(677\) 36.6561 15.1834i 1.40881 0.583547i 0.456785 0.889577i \(-0.349001\pi\)
0.952022 + 0.306030i \(0.0990009\pi\)
\(678\) −9.44650 + 14.3779i −0.362791 + 0.552179i
\(679\) −10.2422 10.2422i −0.393058 0.393058i
\(680\) −5.49546 + 4.87237i −0.210741 + 0.186847i
\(681\) 1.48548 39.4004i 0.0569237 1.50983i
\(682\) −3.23420 + 5.35159i −0.123844 + 0.204923i
\(683\) −24.0996 + 9.98236i −0.922144 + 0.381965i −0.792693 0.609621i \(-0.791322\pi\)
−0.129451 + 0.991586i \(0.541322\pi\)
\(684\) −0.0651295 4.19801i −0.00249029 0.160515i
\(685\) 1.15121 2.77927i 0.0439856 0.106191i
\(686\) −23.4979 3.57321i −0.897155 0.136426i
\(687\) 5.18381 4.80713i 0.197775 0.183403i
\(688\) −0.889825 + 4.15571i −0.0339242 + 0.158435i
\(689\) 9.59903 0.365694
\(690\) 1.89938 1.29055i 0.0723083 0.0491304i
\(691\) 13.6860 + 5.66894i 0.520641 + 0.215657i 0.627499 0.778618i \(-0.284079\pi\)
−0.106857 + 0.994274i \(0.534079\pi\)
\(692\) −7.08658 + 8.50773i −0.269391 + 0.323415i
\(693\) −6.22948 + 2.04595i −0.236638 + 0.0777190i
\(694\) −6.38885 + 10.5715i −0.242518 + 0.401290i
\(695\) 2.20798 + 2.20798i 0.0837536 + 0.0837536i
\(696\) 25.0573 7.61374i 0.949795 0.288598i
\(697\) −34.9990 + 34.9990i −1.32568 + 1.32568i
\(698\) 8.34733 + 33.8476i 0.315951 + 1.28115i
\(699\) 9.96484 + 4.57471i 0.376905 + 0.173031i
\(700\) 8.17188 26.2484i 0.308868 0.992097i
\(701\) 15.2498 36.8163i 0.575977 1.39053i −0.320419 0.947276i \(-0.603824\pi\)
0.896396 0.443255i \(-0.146176\pi\)
\(702\) 38.6305 + 10.4406i 1.45802 + 0.394055i
\(703\) 4.57559i 0.172572i
\(704\) 3.01544 5.35622i 0.113649 0.201870i
\(705\) −5.45447 + 5.05813i −0.205427 + 0.190500i
\(706\) −8.03678 + 5.91518i −0.302468 + 0.222621i
\(707\) 6.64668 + 2.75314i 0.249974 + 0.103543i
\(708\) 13.0812 + 27.3664i 0.491623 + 1.02849i
\(709\) 11.6037 + 28.0139i 0.435788 + 1.05209i 0.977389 + 0.211449i \(0.0678183\pi\)
−0.541601 + 0.840636i \(0.682182\pi\)
\(710\) 1.56740 0.386545i 0.0588236 0.0145068i
\(711\) 19.9236 17.1259i 0.747193 0.642272i
\(712\) 21.9971 + 10.6999i 0.824377 + 0.400995i
\(713\) 9.31087 9.31087i 0.348695 0.348695i
\(714\) −43.2439 + 8.95099i −1.61836 + 0.334982i
\(715\) −0.656007 1.58374i −0.0245333 0.0592286i
\(716\) 8.11805 + 6.76199i 0.303386 + 0.252707i
\(717\) 14.0972 5.22614i 0.526469 0.195174i
\(718\) 35.5576 + 5.40706i 1.32700 + 0.201790i
\(719\) 44.6170i 1.66393i −0.554826 0.831967i \(-0.687215\pi\)
0.554826 0.831967i \(-0.312785\pi\)
\(720\) 4.31676 2.35318i 0.160876 0.0876979i
\(721\) 24.7573i 0.922008i
\(722\) −3.93545 + 25.8801i −0.146462 + 0.963157i
\(723\) −7.40004 + 2.74336i −0.275211 + 0.102027i
\(724\) 1.58421 + 17.3836i 0.0588768 + 0.646055i
\(725\) 9.88517 + 23.8649i 0.367126 + 0.886321i
\(726\) 5.16831 + 24.9691i 0.191814 + 0.926689i
\(727\) 15.5081 15.5081i 0.575162 0.575162i −0.358405 0.933566i \(-0.616679\pi\)
0.933566 + 0.358405i \(0.116679\pi\)
\(728\) 32.7837 29.0666i 1.21505 1.07728i
\(729\) 14.3258 + 22.8860i 0.530587 + 0.847631i
\(730\) −1.86179 7.54936i −0.0689078 0.279414i
\(731\) 2.57689 + 6.22117i 0.0953098 + 0.230098i
\(732\) −14.6622 5.17836i −0.541932 0.191398i
\(733\) 43.3401 + 17.9520i 1.60080 + 0.663074i 0.991529 0.129887i \(-0.0414615\pi\)
0.609273 + 0.792961i \(0.291462\pi\)
\(734\) −7.78552 10.5780i −0.287369 0.390439i
\(735\) −0.568093 + 0.526813i −0.0209544 + 0.0194318i
\(736\) −8.86594 + 9.43065i −0.326803 + 0.347618i
\(737\) 5.32424i 0.196121i
\(738\) 28.0881 17.5755i 1.03394 0.646962i
\(739\) 18.0170 43.4968i 0.662765 1.60006i −0.130686 0.991424i \(-0.541718\pi\)
0.793452 0.608633i \(-0.208282\pi\)
\(740\) 4.74367 2.49124i 0.174381 0.0915797i
\(741\) 5.99817 + 2.75367i 0.220348 + 0.101159i
\(742\) 6.88496 1.69793i 0.252755 0.0623331i
\(743\) −3.20365 + 3.20365i −0.117530 + 0.117530i −0.763426 0.645895i \(-0.776484\pi\)
0.645895 + 0.763426i \(0.276484\pi\)
\(744\) 21.7843 17.8948i 0.798652 0.656057i
\(745\) −5.72193 5.72193i −0.209635 0.209635i
\(746\) −41.5567 25.1146i −1.52150 0.919510i
\(747\) −16.1516 49.1784i −0.590958 1.79935i
\(748\) −0.883889 9.69891i −0.0323182 0.354627i
\(749\) −3.39260 1.40526i −0.123963 0.0513471i
\(750\) 5.54544 + 8.16158i 0.202491 + 0.298019i
\(751\) −53.3838 −1.94800 −0.974001 0.226542i \(-0.927258\pi\)
−0.974001 + 0.226542i \(0.927258\pi\)
\(752\) 23.8013 34.5204i 0.867945 1.25883i
\(753\) −2.49233 + 2.31123i −0.0908255 + 0.0842257i
\(754\) −6.18910 + 40.7004i −0.225394 + 1.48222i
\(755\) −1.81738 + 4.38754i −0.0661411 + 0.159679i
\(756\) 29.5547 + 0.655371i 1.07490 + 0.0238356i
\(757\) −40.7929 + 16.8970i −1.48264 + 0.614130i −0.969701 0.244294i \(-0.921444\pi\)
−0.512941 + 0.858424i \(0.671444\pi\)
\(758\) 36.7591 + 22.2152i 1.33515 + 0.806891i
\(759\) −0.114725 + 3.04293i −0.00416425 + 0.110451i
\(760\) 0.766434 0.264813i 0.0278015 0.00960578i