Properties

Label 96.2.o.a.11.4
Level 96
Weight 2
Character 96.11
Analytic conductor 0.767
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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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 11.4
Character \(\chi\) = 96.11
Dual form 96.2.o.a.35.4

$q$-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 \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(37\) \(65\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{8}\right)\) \(-1\)

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 0.465714 0.884935i \(-0.345798\pi\)
−0.296434 + 0.955053i \(0.595798\pi\)
\(6\) 1.34503 + 2.04717i 0.549104 + 0.835754i
\(7\) 2.01144 2.01144i 0.760253 0.760253i −0.216115 0.976368i \(-0.569339\pi\)
0.976368 + 0.216115i \(0.0693386\pi\)
\(8\) 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 0.487122 0.873334i \(-0.338047\pi\)
−0.273093 + 0.961988i \(0.588047\pi\)
\(12\) −3.45920 0.184194i −0.998585 0.0531723i
\(13\) 2.08393 + 5.03104i 0.577977 + 1.39536i 0.894625 + 0.446817i \(0.147443\pi\)
−0.316648 + 0.948543i \(0.602557\pi\)
\(14\) 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 −0.307291 0.951615i \(-0.599423\pi\)
0.455606 + 0.890182i \(0.349423\pi\)
\(20\) 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 −0.518006 0.855377i \(-0.673325\pi\)
0.855377 + 0.518006i \(0.173325\pi\)
\(24\) 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 0.991988 + 0.126336i \(0.0403217\pi\)
−0.612108 + 0.790774i \(0.709678\pi\)
\(30\) 0.188147 + 0.985780i 0.0343508 + 0.179978i
\(31\) 5.75464i 1.03356i 0.856117 + 0.516782i \(0.172870\pi\)
−0.856117 + 0.516782i \(0.827130\pi\)
\(32\) 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 0.573389 + 0.819283i \(0.305628\pi\)
−0.984768 + 0.173873i \(0.944372\pi\)
\(38\) −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 0.991620 0.129185i \(-0.0412361\pi\)
−0.129185 + 0.991620i \(0.541236\pi\)
\(42\) 6.82320 + 1.41232i 1.05284 + 0.217926i
\(43\) −0.406593 + 0.981601i −0.0620048 + 0.149693i −0.951845 0.306579i \(-0.900816\pi\)
0.889840 + 0.456272i \(0.150816\pi\)
\(44\) 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 \(-0.722975\pi\)
0.644597 0.764522i \(-0.277025\pi\)
\(48\) 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 −0.870755 0.491718i \(-0.836369\pi\)
0.963413 + 0.268020i \(0.0863692\pi\)
\(54\) 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 0.540997 + 0.841025i \(0.318047\pi\)
−0.977237 + 0.212152i \(0.931953\pi\)
\(60\) −1.28050 0.612084i −0.165312 0.0790196i
\(61\) 4.14715 1.71781i 0.530988 0.219943i −0.101048 0.994882i \(-0.532219\pi\)
0.632036 + 0.774939i \(0.282219\pi\)
\(62\) −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 −0.999016 0.0443601i \(-0.985875\pi\)
0.675043 0.737778i \(-0.264125\pi\)
\(68\) 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 0.580469 0.814282i \(-0.302869\pi\)
−0.814282 + 0.580469i \(0.802869\pi\)
\(72\) −4.27564 7.32932i −0.503888 0.863769i
\(73\) 9.48914 9.48914i 1.11062 1.11062i 0.117554 0.993067i \(-0.462495\pi\)
0.993067 0.117554i \(-0.0375052\pi\)
\(74\) −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 −0.659294 0.751885i \(-0.729145\pi\)
−0.0654719 0.997854i \(1.47914\pi\)
\(84\) −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 −0.304338 0.952564i \(-0.598435\pi\)
0.952564 + 0.304338i \(0.0984353\pi\)
\(90\) 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 0.495892 0.868384i \(-0.334841\pi\)
−0.263392 + 0.964689i \(0.584841\pi\)
\(102\) −8.52447 12.9745i −0.844048 1.28467i
\(103\) −6.15411 + 6.15411i −0.606383 + 0.606383i −0.941999 0.335616i \(-0.891055\pi\)
0.335616 + 0.941999i \(0.391055\pi\)
\(104\) 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 0.324289 0.945958i \(-0.394875\pi\)
−0.439586 + 0.898200i \(0.644875\pi\)
\(108\) 7.50957 + 7.18375i 0.722609 + 0.691257i
\(109\) −0.933827 2.25446i −0.0894444 0.215938i 0.872827 0.488030i \(-0.162284\pi\)
−0.962271 + 0.272092i \(0.912284\pi\)
\(110\) −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 \(-0.927010\pi\)
0.973825 0.227299i \(-0.0729896\pi\)
\(128\) −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 0.268412 0.963304i \(-0.413501\pi\)
0.870955 + 0.491363i \(0.163501\pi\)
\(132\) −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 0.893211 0.449637i \(-0.148447\pi\)
−0.449637 + 0.893211i \(0.648447\pi\)
\(138\) 5.48849 + 1.13605i 0.467211 + 0.0967073i
\(139\) 2.91660 7.04129i 0.247383 0.597234i −0.750598 0.660759i \(-0.770234\pi\)
0.997980 + 0.0635252i \(0.0202343\pi\)
\(140\) −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 0.233437 + 0.972372i \(0.425003\pi\)
−0.852636 + 0.522506i \(0.824997\pi\)
\(150\) 2.39912 11.5906i 0.195887 0.946367i
\(151\) −8.19627 8.19627i −0.667003 0.667003i 0.290018 0.957021i \(-0.406339\pi\)
−0.957021 + 0.290018i \(0.906339\pi\)
\(152\) 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 −0.438812 0.898579i \(-0.644601\pi\)
0.325104 + 0.945678i \(0.394601\pi\)
\(158\) 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 0.956019 0.293303i \(-0.0947546\pi\)
−0.883405 + 0.468611i \(0.844755\pi\)
\(164\) 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 0.999152 + 0.0411813i \(0.0131121\pi\)
0.0411813 + 0.999152i \(0.486888\pi\)
\(168\) −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 −0.179675 0.983726i \(-0.557505\pi\)
0.568550 + 0.822649i \(0.307505\pi\)
\(174\) −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 0.981247 0.192756i \(-0.0617426\pi\)
−0.830145 + 0.557547i \(0.811743\pi\)
\(180\) −1.76500 + 1.71107i −0.131555 + 0.127535i
\(181\) 8.06344 + 3.33999i 0.599351 + 0.248259i 0.661668 0.749797i \(-0.269849\pi\)
−0.0623171 + 0.998056i \(0.519849\pi\)
\(182\) −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 −0.440014 0.897991i \(-0.645026\pi\)
−0.946112 + 0.323839i \(0.895026\pi\)
\(198\) 3.21474 + 0.539998i 0.228462 + 0.0383760i
\(199\) 1.63519 1.63519i 0.115916 0.115916i −0.646770 0.762685i \(-0.723880\pi\)
0.762685 + 0.646770i \(0.223880\pi\)
\(200\) −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 0.131286 0.991344i \(-0.458089\pi\)
0.793820 + 0.608153i \(0.208089\pi\)
\(212\) −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 \(-0.998864\pi\)
0.999994 0.00357012i \(-0.00113641\pi\)
\(224\) −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 −0.948681 0.316233i \(-0.897582\pi\)
−0.447208 + 0.894430i \(0.647582\pi\)
\(228\) −2.28565 + 0.807239i −0.151371 + 0.0534607i
\(229\) −1.56199 + 3.77098i −0.103219 + 0.249193i −0.967049 0.254591i \(-0.918059\pi\)
0.863830 + 0.503784i \(0.168059\pi\)
\(230\) −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 0.838365 0.545110i \(-0.183512\pi\)
−0.545110 + 0.838365i \(0.683512\pi\)
\(234\) 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 \(0.0905803\pi\)
−0.959783 + 0.280741i \(0.909420\pi\)
\(240\) −0.407560 + 2.80913i −0.0263079 + 0.181328i
\(241\) 4.55656i 0.293514i −0.989173 0.146757i \(-0.953117\pi\)
0.989173 0.146757i \(-0.0468835\pi\)
\(242\) 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 −0.898405 0.439168i \(-0.855273\pi\)
0.945807 + 0.324729i \(0.105273\pi\)
\(252\) 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 \(-0.862615\pi\)
0.908294 0.418332i \(-0.137385\pi\)
\(258\) −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 −0.985896 0.167359i \(-0.946476\pi\)
−0.167359 0.985896i \(1.44648\pi\)
\(264\) 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 −0.185535 0.982638i \(-0.559402\pi\)
0.563636 + 0.826023i \(0.309402\pi\)
\(270\) 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 −0.00149230 0.999999i \(-0.500475\pi\)
−0.708161 + 0.706051i \(0.750475\pi\)
\(278\) 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 −0.302664 0.953097i \(-0.597876\pi\)
0.953097 + 0.302664i \(0.0978760\pi\)
\(282\) 21.4597 14.0994i 1.27790 0.839605i
\(283\) −8.86260 3.67101i −0.526827 0.218219i 0.103386 0.994641i \(-0.467032\pi\)
−0.630213 + 0.776423i \(0.717032\pi\)
\(284\) −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 0.881952 0.471338i \(-0.156229\pi\)
0.290348 + 0.956921i \(0.406229\pi\)
\(294\) 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 −0.366971 0.930232i \(-0.619605\pi\)
0.398286 + 0.917261i \(0.369605\pi\)
\(308\) −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 −0.902476 0.430741i \(-0.858252\pi\)
0.430741 + 0.902476i \(0.358252\pi\)
\(312\) 25.5254 + 7.75596i 1.44509 + 0.439095i
\(313\) 5.90243 + 5.90243i 0.333625 + 0.333625i 0.853961 0.520336i \(-0.174193\pi\)
−0.520336 + 0.853961i \(0.674193\pi\)
\(314\) 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 0.911256 0.411840i \(-0.135114\pi\)
−0.935570 + 0.353141i \(0.885114\pi\)
\(318\) 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 0.658679 + 0.752424i \(0.271116\pi\)
−0.997801 + 0.0662882i \(0.978884\pi\)
\(332\) −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 \(-0.844339\pi\)
0.882792 0.469763i \(-0.155661\pi\)
\(338\) −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 −0.987848 0.155424i \(-0.950326\pi\)
0.808415 + 0.588613i \(0.200326\pi\)
\(348\) −6.16684 17.4611i −0.330577 0.936012i
\(349\) −22.7745 + 9.43351i −1.21909 + 0.504964i −0.897121 0.441785i \(-0.854345\pi\)
−0.321971 + 0.946750i \(0.604345\pi\)
\(350\) 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 \(0.0601295\pi\)
−0.982211 + 0.187781i \(0.939870\pi\)
\(354\) −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 0.0496509 0.998767i \(-0.484189\pi\)
−0.998767 + 0.0496509i \(0.984189\pi\)
\(360\) −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 0.996541 0.0830975i \(-0.0264813\pi\)
0.645902 + 0.763420i \(0.276481\pi\)
\(374\) 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 −0.481174 0.876625i \(-0.659789\pi\)
−0.960109 + 0.279626i \(0.909789\pi\)
\(380\) −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 0.827729 0.561128i \(-0.189633\pi\)
0.188515 + 0.982070i \(0.439633\pi\)
\(390\) −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 0.843255 0.537514i \(-0.180637\pi\)
−0.976351 + 0.216191i \(0.930637\pi\)
\(398\) 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 0.690010 0.723800i \(-0.257606\pi\)
−0.723800 + 0.690010i \(0.757606\pi\)
\(410\) −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 −0.754724 0.656042i \(-0.772229\pi\)
−0.0697790 + 0.997562i \(0.522229\pi\)
\(420\) −3.80682 + 1.34448i −0.185754 + 0.0656038i
\(421\) −7.36473 + 17.7800i −0.358935 + 0.866546i 0.636515 + 0.771264i \(0.280375\pi\)
−0.995450 + 0.0952818i \(0.969625\pi\)
\(422\) −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 \(0.149051\pi\)
−0.892356 + 0.451332i \(0.850949\pi\)
\(432\) 9.25353 18.6111i 0.445211 0.895426i
\(433\) 2.88137i 0.138470i 0.997600 + 0.0692349i \(0.0220558\pi\)
−0.997600 + 0.0692349i \(0.977944\pi\)
\(434\) −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 0.845818 0.533471i \(-0.179113\pi\)
−0.533471 + 0.845818i \(0.679113\pi\)
\(440\) 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 −0.716042 0.698057i \(-0.754048\pi\)
0.999919 + 0.0127177i \(0.00404829\pi\)
\(444\) 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 \(-0.981052\pi\)
0.998229 0.0594905i \(-0.0189476\pi\)
\(450\) −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 0.287295 0.957842i \(-0.407244\pi\)
0.957842 0.287295i \(-0.0927560\pi\)
\(458\) −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 0.0483450 0.998831i \(-0.484605\pi\)
0.740465 + 0.672095i \(0.234605\pi\)
\(462\) 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 0.941924 + 0.335825i \(0.109015\pi\)
−0.428577 + 0.903505i \(0.640985\pi\)
\(468\) −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 0.109575 0.993979i \(-0.465051\pi\)
0.993979 0.109575i \(-0.0349489\pi\)
\(488\) 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 0.660895 0.750478i \(-0.270177\pi\)
−0.0633450 + 0.997992i \(0.520177\pi\)
\(492\) −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 −0.529645 0.848220i \(-0.677675\pi\)
0.225266 + 0.974297i \(0.427675\pi\)
\(500\) −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 −0.0729527 0.997335i \(-0.523242\pi\)
0.997335 + 0.0729527i \(0.0232422\pi\)
\(504\) −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 −0.999104 0.0423143i \(-0.986527\pi\)
0.676553 0.736394i \(1.73653\pi\)
\(510\) −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 0.362573 0.931955i \(-0.381898\pi\)
−0.931955 + 0.362573i \(0.881898\pi\)
\(522\) 13.1589 + 18.4722i 0.575950 + 0.808505i
\(523\) −13.8611 + 33.4638i −0.606105 + 1.46327i 0.261097 + 0.965313i \(0.415916\pi\)
−0.867203 + 0.497955i \(0.834084\pi\)
\(524\) −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 −0.365103 0.930967i \(-0.618966\pi\)
0.400126 + 0.916460i \(0.368966\pi\)
\(542\) −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 −0.951529 0.307559i \(-0.900488\pi\)
0.455356 0.890310i \(-0.349512\pi\)
\(548\) 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 −0.578127 0.815947i \(-0.696216\pi\)
0.168164 + 0.985759i \(0.446216\pi\)
\(558\) 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 −0.999058 0.0433923i \(-0.986183\pi\)
0.675758 0.737124i \(1.73618\pi\)
\(564\) −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 −0.633121 0.774053i \(-0.718227\pi\)
0.774053 + 0.633121i \(0.218227\pi\)
\(570\) 0.385611 + 0.586911i 0.0161515 + 0.0245830i
\(571\) 14.6718 + 6.07726i 0.613996 + 0.254325i 0.667936 0.744219i \(-0.267178\pi\)
−0.0539402 + 0.998544i \(0.517178\pi\)
\(572\) 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 −0.372625 0.927982i \(-0.621542\pi\)
−0.919668 + 0.392696i \(0.871542\pi\)
\(588\) −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 −0.603835 0.797110i \(-0.706361\pi\)
0.797110 + 0.603835i \(0.206361\pi\)
\(600\) −23.5596 + 2.30940i −0.961818 + 0.0942807i
\(601\) 22.8135 + 22.8135i 0.930581 + 0.930581i 0.997742 0.0671615i \(-0.0213943\pi\)
−0.0671615 + 0.997742i \(0.521394\pi\)
\(602\) −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 \(0.137084\pi\)
−0.908690 + 0.417472i \(0.862916\pi\)
\(608\) −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 −0.957638 0.287974i \(-0.907018\pi\)
0.880781 + 0.473524i \(0.157018\pi\)
\(614\) −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 0.762216 0.647322i \(-0.224111\pi\)
−0.647322 + 0.762216i \(0.724111\pi\)
\(618\) −20.8760 4.32108i −0.839754 0.173819i
\(619\) 12.0551 29.1035i 0.484534 1.16977i −0.472901 0.881116i \(-0.656793\pi\)
0.957434 0.288652i \(-0.0932070\pi\)
\(620\) 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 −0.995851 0.0910003i \(-0.970994\pi\)
−0.0910003 0.995851i \(-0.529006\pi\)
\(632\) −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 \(0.237714\pi\)
−0.733865 + 0.679295i \(0.762286\pi\)
\(642\) −0.592814 3.10600i −0.0233965 0.122584i
\(643\) −10.4779 25.2960i −0.413210 0.997576i −0.984270 0.176669i \(-0.943468\pi\)
0.571061 0.820908i \(-0.306532\pi\)
\(644\) −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 0.998679 + 0.0513899i \(0.0163651\pi\)
0.0513899 + 0.998679i \(0.483635\pi\)
\(648\) −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 −0.986065 0.166358i \(-0.946799\pi\)
−0.579620 + 0.814887i \(0.696799\pi\)
\(654\) 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 0.751129 0.660155i \(-0.229509\pi\)
−0.997929 + 0.0643286i \(0.979509\pi\)
\(660\) −0.728993 0.810994i −0.0283760 0.0315679i
\(661\) −13.2351 5.48218i −0.514787 0.213232i 0.110138 0.993916i \(-0.464871\pi\)
−0.624926 + 0.780684i \(0.714871\pi\)
\(662\) −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 0.952022 0.306030i \(-0.0990009\pi\)
0.456785 + 0.889577i \(0.349001\pi\)
\(678\) −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 −0.129451 0.991586i \(-0.541322\pi\)
−0.792693 + 0.609621i \(0.791322\pi\)
\(684\) −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 −0.106857 0.994274i \(-0.534079\pi\)
0.627499 + 0.778618i \(0.284079\pi\)
\(692\) −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 0.896396 + 0.443255i \(0.146176\pi\)
−0.320419 + 0.947276i \(0.603824\pi\)
\(702\) 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 −0.541601 0.840636i \(-0.682182\pi\)
0.977389 0.211449i \(-0.0678183\pi\)
\(710\) 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 \(0.312785\pi\)
−0.554826 + 0.831967i \(0.687215\pi\)
\(720\) 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 0.933566 0.358405i \(-0.116679\pi\)
−0.358405 + 0.933566i \(0.616679\pi\)
\(728\) 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 0.609273 0.792961i \(-0.291462\pi\)
0.991529 + 0.129887i \(0.0414615\pi\)
\(734\) −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 0.793452 + 0.608633i \(0.208282\pi\)
−0.130686 + 0.991424i \(0.541718\pi\)
\(740\) 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 0.645895 0.763426i \(-0.276484\pi\)
−0.763426 + 0.645895i \(0.776484\pi\)
\(744\) 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 −0.512941 0.858424i \(-0.671444\pi\)
−0.969701 + 0.244294i \(0.921444\pi\)
\(758\) 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