Properties

Label 96.2.o.a.11.11
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 11.11
Character \(\chi\) = 96.11
Dual form 96.2.o.a.35.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.838298 - 1.13897i) q^{2} +(-1.57410 - 0.722645i) q^{3} +(-0.594512 - 1.90960i) q^{4} +(-0.378520 - 0.156788i) q^{5} +(-2.14264 + 1.18706i) q^{6} +(2.01144 - 2.01144i) q^{7} +(-2.67335 - 0.923679i) q^{8} +(1.95557 + 2.27503i) q^{9} +O(q^{10})\) \(q+(0.838298 - 1.13897i) q^{2} +(-1.57410 - 0.722645i) q^{3} +(-0.594512 - 1.90960i) q^{4} +(-0.378520 - 0.156788i) q^{5} +(-2.14264 + 1.18706i) q^{6} +(2.01144 - 2.01144i) q^{7} +(-2.67335 - 0.923679i) q^{8} +(1.95557 + 2.27503i) q^{9} +(-0.495890 + 0.299689i) q^{10} +(-0.709852 - 0.294030i) q^{11} +(-0.444140 + 3.43551i) 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} +(4.23054 - 0.320185i) q^{18} +(0.646487 - 0.267784i) q^{19} +(-0.0743674 + 0.816033i) q^{20} +(-4.61976 + 1.71265i) q^{21} +(-0.929959 + 0.562016i) q^{22} +(-1.61798 + 1.61798i) q^{23} +(3.54063 + 3.38585i) q^{24} +(-3.41684 - 3.41684i) q^{25} +(7.47717 + 1.84398i) q^{26} +(-1.43422 - 4.99430i) q^{27} +(-5.03686 - 2.64521i) q^{28} +(-2.04571 - 4.93879i) q^{29} +(0.997148 - 0.113386i) 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} +(3.18177 - 5.08688i) q^{36} +(-2.50232 + 6.04113i) q^{37} +(0.236951 - 0.960813i) q^{38} +(0.355354 - 9.42529i) q^{39} +(0.867097 + 0.768782i) q^{40} +(-5.52228 - 5.52228i) q^{41} +(-1.92208 + 6.69748i) q^{42} +(-0.406593 + 0.981601i) q^{43} +(-0.139464 + 1.53033i) q^{44} +(-0.383525 - 1.16775i) q^{45} +(0.486482 + 3.19917i) q^{46} +10.4826i q^{47} +(6.82448 - 1.19433i) q^{48} -1.09178i q^{49} +(-6.75601 + 1.02735i) q^{50} +(-9.97628 - 4.57996i) q^{51} +(8.36834 - 6.97047i) q^{52} +(-0.674566 + 1.62855i) q^{53} +(-6.89067 - 2.55318i) q^{54} +(0.222593 + 0.222593i) q^{55} +(-7.23521 + 3.51937i) q^{56} +(-1.21115 - 0.0456628i) q^{57} +(-7.34006 - 1.81017i) q^{58} +(3.35082 - 8.08960i) q^{59} +(0.706764 - 1.23078i) 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} +(1.86999 - 0.212637i) q^{66} +(-2.65183 - 6.40208i) q^{67} +(-3.76788 - 12.1026i) q^{68} +(3.71607 - 1.37763i) q^{69} +(-0.394648 + 1.60026i) q^{70} +(1.97014 + 1.97014i) q^{71} +(-3.12653 - 7.88827i) q^{72} +(9.48914 - 9.48914i) q^{73} +(4.78299 + 7.91434i) q^{74} +(2.90928 + 7.84760i) q^{75} +(-0.895703 - 1.07533i) q^{76} +(-2.01925 + 0.836400i) q^{77} +(-10.4372 - 8.30595i) 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} +(6.01696 + 7.80369i) q^{84} +(-2.39898 - 0.993689i) q^{85} +(0.777170 + 1.28597i) q^{86} +(-0.348838 + 9.25246i) q^{87} +(1.62609 + 1.44172i) q^{88} +(-6.11535 + 6.11535i) q^{89} +(-1.65155 - 0.542103i) q^{90} +(14.3113 + 5.92795i) q^{91} +(4.05158 + 2.12777i) q^{92} +(4.15856 - 9.05837i) q^{93} +(11.9394 + 8.78755i) q^{94} -0.286694 q^{95} +(4.36065 - 8.77409i) q^{96} -5.09195 q^{97} +(-1.24351 - 0.915239i) q^{98} +(-0.719237 - 2.18993i) 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
\(3\) −1.57410 0.722645i −0.908806 0.417219i
\(4\) −0.594512 1.90960i −0.297256 0.954798i
\(5\) −0.378520 0.156788i −0.169279 0.0701179i 0.296434 0.955053i \(-0.404202\pi\)
−0.465714 + 0.884935i \(0.654202\pi\)
\(6\) −2.14264 + 1.18706i −0.874727 + 0.484615i
\(7\) 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
\(9\) 1.95557 + 2.27503i 0.651856 + 0.758343i
\(10\) −0.495890 + 0.299689i −0.156814 + 0.0947698i
\(11\) −0.709852 0.294030i −0.214028 0.0886534i 0.273093 0.961988i \(-0.411953\pi\)
−0.487122 + 0.873334i \(0.661953\pi\)
\(12\) −0.444140 + 3.43551i −0.128212 + 0.991747i
\(13\) 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 \(-0.220970\pi\)
0.768568 + 0.639768i \(0.220970\pi\)
\(18\) 4.23054 0.320185i 0.997148 0.0754683i
\(19\) 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
\(21\) −4.61976 + 1.71265i −1.00811 + 0.373730i
\(22\) −0.929959 + 0.562016i −0.198268 + 0.119822i
\(23\) −1.61798 + 1.61798i −0.337371 + 0.337371i −0.855377 0.518006i \(-0.826675\pi\)
0.518006 + 0.855377i \(0.326675\pi\)
\(24\) 3.54063 + 3.38585i 0.722728 + 0.691133i
\(25\) −3.41684 3.41684i −0.683368 0.683368i
\(26\) 7.47717 + 1.84398i 1.46639 + 0.361635i
\(27\) −1.43422 4.99430i −0.276016 0.961153i
\(28\) −5.03686 2.64521i −0.951877 0.499898i
\(29\) −2.04571 4.93879i −0.379879 0.917110i −0.991988 0.126336i \(-0.959678\pi\)
0.612108 0.790774i \(1.70968\pi\)
\(30\) 0.997148 0.113386i 0.182054 0.0207014i
\(31\) 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
\(36\) 3.18177 5.08688i 0.530296 0.847813i
\(37\) −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
\(39\) 0.355354 9.42529i 0.0569021 1.50925i
\(40\) 0.867097 + 0.768782i 0.137100 + 0.121555i
\(41\) −5.52228 5.52228i −0.862435 0.862435i 0.129185 0.991620i \(-0.458764\pi\)
−0.991620 + 0.129185i \(0.958764\pi\)
\(42\) −1.92208 + 6.69748i −0.296584 + 1.03344i
\(43\) −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
\(45\) −0.383525 1.16775i −0.0571725 0.174079i
\(46\) 0.486482 + 3.19917i 0.0717278 + 0.471692i
\(47\) 10.4826i 1.52904i 0.644597 + 0.764522i \(0.277025\pi\)
−0.644597 + 0.764522i \(0.722975\pi\)
\(48\) 6.82448 1.19433i 0.985029 0.172386i
\(49\) 1.09178i 0.155969i
\(50\) −6.75601 + 1.02735i −0.955444 + 0.145289i
\(51\) −9.97628 4.57996i −1.39696 0.641323i
\(52\) 8.36834 6.97047i 1.16048 0.966630i
\(53\) −0.674566 + 1.62855i −0.0926588 + 0.223698i −0.963413 0.268020i \(-0.913631\pi\)
0.870755 + 0.491718i \(0.163631\pi\)
\(54\) −6.89067 2.55318i −0.937701 0.347443i
\(55\) 0.222593 + 0.222593i 0.0300144 + 0.0300144i
\(56\) −7.23521 + 3.51937i −0.966846 + 0.470295i
\(57\) −1.21115 0.0456628i −0.160420 0.00604819i
\(58\) −7.34006 1.81017i −0.963797 0.237687i
\(59\) 3.35082 8.08960i 0.436240 1.05318i −0.540997 0.841025i \(-0.681953\pi\)
0.977237 0.212152i \(-0.0680472\pi\)
\(60\) 0.706764 1.23078i 0.0912428 0.158892i
\(61\) 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
\(66\) 1.86999 0.212637i 0.230179 0.0261739i
\(67\) −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
\(69\) 3.71607 1.37763i 0.447363 0.165847i
\(70\) −0.394648 + 1.60026i −0.0471695 + 0.191268i
\(71\) 1.97014 + 1.97014i 0.233813 + 0.233813i 0.814282 0.580469i \(-0.197131\pi\)
−0.580469 + 0.814282i \(0.697131\pi\)
\(72\) −3.12653 7.88827i −0.368465 0.929642i
\(73\) 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
\(75\) 2.90928 + 7.84760i 0.335934 + 0.906163i
\(76\) −0.895703 1.07533i −0.102744 0.123349i
\(77\) −2.01925 + 0.836400i −0.230115 + 0.0953166i
\(78\) −10.4372 8.30595i −1.18179 0.940463i
\(79\) −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 \(0.270855\pi\)
0.0654719 + 0.997854i \(0.479145\pi\)
\(84\) 6.01696 + 7.80369i 0.656505 + 0.851452i
\(85\) −2.39898 0.993689i −0.260206 0.107781i
\(86\) 0.777170 + 1.28597i 0.0838044 + 0.138670i
\(87\) −0.348838 + 9.25246i −0.0373993 + 0.991968i
\(88\) 1.62609 + 1.44172i 0.173342 + 0.153688i
\(89\) −6.11535 + 6.11535i −0.648226 + 0.648226i −0.952564 0.304338i \(-0.901565\pi\)
0.304338 + 0.952564i \(0.401565\pi\)
\(90\) −1.65155 0.542103i −0.174088 0.0571427i
\(91\) 14.3113 + 5.92795i 1.50024 + 0.621418i
\(92\) 4.05158 + 2.12777i 0.422407 + 0.221836i
\(93\) 4.15856 9.05837i 0.431223 0.939310i
\(94\) 11.9394 + 8.78755i 1.23145 + 0.906366i
\(95\) −0.286694 −0.0294142
\(96\) 4.36065 8.77409i 0.445057 0.895502i
\(97\) −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
\(99\) −0.719237 2.18993i −0.0722860 0.220096i
\(100\) −4.49343 + 8.55613i −0.449343 + 0.855613i
\(101\) −2.33659 0.967847i −0.232499 0.0963044i 0.263392 0.964689i \(-0.415159\pi\)
−0.495892 + 0.868384i \(0.665159\pi\)
\(102\) −13.5795 + 7.52332i −1.34458 + 0.744920i
\(103\) −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
\(105\) 2.01720 + 0.0760526i 0.196858 + 0.00742198i
\(106\) 1.28938 + 2.13352i 0.125236 + 0.207226i
\(107\) 1.19264 + 0.494009i 0.115297 + 0.0477576i 0.439586 0.898200i \(-0.355125\pi\)
−0.324289 + 0.945958i \(0.605125\pi\)
\(108\) −8.68443 + 5.70795i −0.835660 + 0.549248i
\(109\) −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 \(-0.392834\pi\)
0.330348 + 0.943859i \(0.392834\pi\)
\(114\) −1.06731 + 1.34118i −0.0999628 + 0.125613i
\(115\) 0.866116 0.358757i 0.0807657 0.0334543i
\(116\) −8.21489 + 6.84265i −0.762733 + 0.635324i
\(117\) −7.37050 + 14.5795i −0.681403 + 1.34788i
\(118\) −6.40484 10.5980i −0.589613 0.975624i
\(119\) 12.7481 12.7481i 1.16861 1.16861i
\(120\) −0.809339 1.83674i −0.0738822 0.167671i
\(121\) −7.36074 7.36074i −0.669158 0.669158i
\(122\) 1.52002 6.16352i 0.137616 0.558019i
\(123\) 4.70196 + 12.6833i 0.423962 + 1.14361i
\(124\) 10.9890 3.42120i 0.986845 0.307233i
\(125\) 1.54156 + 3.72167i 0.137882 + 0.332876i
\(126\) 7.86545 9.15351i 0.700710 0.815460i
\(127\) 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 −0.870955 0.491363i \(-0.836499\pi\)
−0.268412 + 0.963304i \(0.586499\pi\)
\(132\) 1.32542 2.30811i 0.115363 0.200895i
\(133\) 0.761739 1.83900i 0.0660512 0.159462i
\(134\) −9.51480 2.34649i −0.821954 0.202706i
\(135\) −0.240166 + 2.11531i −0.0206702 + 0.182057i
\(136\) −16.9431 5.85407i −1.45286 0.501982i
\(137\) −5.19191 5.19191i −0.443575 0.443575i 0.449637 0.893211i \(-0.351553\pi\)
−0.893211 + 0.449637i \(0.851553\pi\)
\(138\) 1.54610 5.38737i 0.131612 0.458603i
\(139\) 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
\(141\) 7.57520 16.5006i 0.637947 1.38960i
\(142\) 3.89550 0.592368i 0.326903 0.0497104i
\(143\) 4.18403i 0.349886i
\(144\) −11.6055 3.05169i −0.967123 0.254308i
\(145\) 2.19018i 0.181884i
\(146\) −2.85313 18.7626i −0.236127 1.55280i
\(147\) −0.788970 + 1.71857i −0.0650732 + 0.141745i
\(148\) 13.0238 + 1.18689i 1.07055 + 0.0975620i
\(149\) 7.55828 18.2473i 0.619199 1.49488i −0.233437 0.972372i \(-0.574997\pi\)
0.852636 0.522506i \(-0.175003\pi\)
\(150\) 11.3770 + 3.26505i 0.928931 + 0.266590i
\(151\) −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
\(153\) 12.3940 + 14.4186i 1.00199 + 1.16568i
\(154\) −0.740097 + 3.00102i −0.0596387 + 0.241829i
\(155\) 0.902261 2.17825i 0.0724713 0.174961i
\(156\) −18.2098 + 4.92487i −1.45795 + 0.394305i
\(157\) −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
\(162\) 9.00154 + 8.99846i 0.707228 + 0.706985i
\(163\) 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
\(165\) −0.189527 0.511239i −0.0147547 0.0397999i
\(166\) 23.6914 + 5.84267i 1.83881 + 0.453479i
\(167\) −13.4441 13.4441i −1.04033 1.04033i −0.999152 0.0411813i \(-0.986888\pi\)
−0.0411813 0.999152i \(1.48689\pi\)
\(168\) 13.9322 0.311334i 1.07489 0.0240200i
\(169\) −11.7763 + 11.7763i −0.905866 + 0.905866i
\(170\) −3.14284 + 1.89936i −0.241045 + 0.145674i
\(171\) 1.87347 + 0.947107i 0.143268 + 0.0724271i
\(172\) 2.11619 + 0.192854i 0.161358 + 0.0147050i
\(173\) −5.11484 + 2.11864i −0.388874 + 0.161077i −0.568550 0.822649i \(-0.692495\pi\)
0.179675 + 0.983726i \(0.442495\pi\)
\(174\) 10.2459 + 8.15364i 0.776737 + 0.618126i
\(175\) −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 \(-0.188257\pi\)
−0.981247 + 0.192756i \(0.938257\pi\)
\(180\) −2.00193 + 1.42662i −0.149215 + 0.106334i
\(181\) 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
\(183\) −7.76939 0.292922i −0.574330 0.0216535i
\(184\) 5.81991 2.83093i 0.429049 0.208699i
\(185\) 1.89436 1.89436i 0.139276 0.139276i
\(186\) −6.83111 12.3301i −0.500881 0.904087i
\(187\) −4.49888 1.86350i −0.328991 0.136272i
\(188\) 20.0175 6.23203i 1.45993 0.454518i
\(189\) −12.9306 7.16089i −0.940561 0.520878i
\(190\) −0.240335 + 0.326536i −0.0174357 + 0.0236894i
\(191\) −10.8066 −0.781940 −0.390970 0.920404i \(-0.627860\pi\)
−0.390970 + 0.920404i \(0.627860\pi\)
\(192\) −6.33791 12.3220i −0.457400 0.889261i
\(193\) −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
\(195\) −1.61228 + 3.51195i −0.115458 + 0.251496i
\(196\) −2.08486 + 0.649077i −0.148919 + 0.0463627i
\(197\) 19.4552 + 8.05861i 1.38613 + 0.574152i 0.946112 0.323839i \(-0.104974\pi\)
0.440014 + 0.897991i \(0.354974\pi\)
\(198\) −3.09720 1.01662i −0.220108 0.0722483i
\(199\) 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
\(201\) −0.452193 + 11.9938i −0.0318952 + 0.845979i
\(202\) −3.06111 + 1.84996i −0.215379 + 0.130163i
\(203\) −14.0489 5.81925i −0.986040 0.408431i
\(204\) −2.81486 + 21.7735i −0.197079 + 1.52445i
\(205\) 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
\(210\) 1.77763 2.23377i 0.122668 0.154145i
\(211\) 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
\(213\) −1.67748 4.52491i −0.114939 0.310041i
\(214\) 1.56245 0.944259i 0.106807 0.0645482i
\(215\) 0.307807 0.307807i 0.0209923 0.0209923i
\(216\) −0.778953 + 14.6763i −0.0530010 + 0.998594i
\(217\) 11.5751 + 11.5751i 0.785771 + 0.785771i
\(218\) −3.35059 0.826306i −0.226930 0.0559645i
\(219\) −21.7941 + 8.07956i −1.47271 + 0.545966i
\(220\) 0.292728 0.557396i 0.0197357 0.0375797i
\(221\) 13.2075 + 31.8856i 0.888430 + 2.14486i
\(222\) −1.80963 15.9143i −0.121455 1.06810i
\(223\) 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 0.447208 0.894430i \(-0.352418\pi\)
0.948681 + 0.316233i \(0.102418\pi\)
\(228\) 0.632844 + 2.33995i 0.0419111 + 0.154967i
\(229\) −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
\(231\) 3.78291 + 0.142624i 0.248898 + 0.00938397i
\(232\) 0.907060 + 15.0927i 0.0595514 + 0.990885i
\(233\) −4.47635 4.47635i −0.293255 0.293255i 0.545110 0.838365i \(-0.316488\pi\)
−0.838365 + 0.545110i \(0.816488\pi\)
\(234\) 10.4270 + 20.6168i 0.681634 + 1.34776i
\(235\) 1.64355 3.96788i 0.107213 0.258836i
\(236\) −17.4400 1.58935i −1.13525 0.103458i
\(237\) 13.7852 + 6.32857i 0.895444 + 0.411085i
\(238\) −3.83300 25.2063i −0.248456 1.63388i
\(239\) 8.68031i 0.561483i −0.959783 0.280741i \(-0.909420\pi\)
0.959783 0.280741i \(-0.0905803\pi\)
\(240\) −2.77046 0.617923i −0.178833 0.0398867i
\(241\) 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
\(243\) 8.55745 13.0296i 0.548961 0.835848i
\(244\) −5.74585 6.89813i −0.367840 0.441607i
\(245\) −0.171179 + 0.413262i −0.0109362 + 0.0264023i
\(246\) 18.3875 + 5.27695i 1.17235 + 0.336446i
\(247\) 2.69446 + 2.69446i 0.171445 + 0.171445i
\(248\) 5.31544 15.3842i 0.337531 0.976898i
\(249\) 1.12594 29.8641i 0.0713536 1.89256i
\(250\) 5.53116 + 1.36407i 0.349821 + 0.0862712i
\(251\) −0.750992 + 1.81305i −0.0474022 + 0.114439i −0.945807 0.324729i \(-0.894727\pi\)
0.898405 + 0.439168i \(0.144727\pi\)
\(252\) −3.83200 16.6319i −0.241393 1.04771i
\(253\) 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 \(0.862615\pi\)
\(258\) −0.294040 2.58586i −0.0183062 0.160989i
\(259\) 7.11811 + 17.1846i 0.442298 + 1.06780i
\(260\) −4.26048 + 1.32641i −0.264223 + 0.0822603i
\(261\) 7.23535 14.3122i 0.447857 0.885903i
\(262\) −4.77967 + 19.3811i −0.295289 + 1.19737i
\(263\) 18.7027 + 18.7027i 1.15326 + 1.15326i 0.985896 + 0.167359i \(0.0535240\pi\)
0.167359 + 0.985896i \(0.446476\pi\)
\(264\) −1.51778 3.44450i −0.0934129 0.211994i
\(265\) 0.510674 0.510674i 0.0313705 0.0313705i
\(266\) −1.45601 2.40923i −0.0892734 0.147719i
\(267\) 14.0454 5.20693i 0.859564 0.318659i
\(268\) −10.6488 + 8.87003i −0.650481 + 0.541823i
\(269\) −6.20132 + 2.56867i −0.378101 + 0.156615i −0.563636 0.826023i \(-0.690598\pi\)
0.185535 + 0.982638i \(0.440598\pi\)
\(270\) 2.20795 + 2.04681i 0.134372 + 0.124565i
\(271\) 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
\(276\) −4.83996 6.27718i −0.291332 0.377842i
\(277\) −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
\(279\) −13.0920 + 11.2536i −0.783796 + 0.673736i
\(280\) 3.29047 0.197755i 0.196643 0.0118181i
\(281\) −10.9033 + 10.9033i −0.650433 + 0.650433i −0.953097 0.302664i \(-0.902124\pi\)
0.302664 + 0.953097i \(0.402124\pi\)
\(282\) −12.4435 22.4604i −0.740999 1.33750i
\(283\) −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
\(285\) 0.451284 + 0.207178i 0.0267318 + 0.0122722i
\(286\) −4.76549 3.50747i −0.281789 0.207401i
\(287\) −22.2155 −1.31134
\(288\) −13.2046 + 10.6601i −0.778091 + 0.628151i
\(289\) 23.1674 1.36279
\(290\) 2.49455 + 1.83602i 0.146485 + 0.107815i
\(291\) 8.01523 + 3.67967i 0.469861 + 0.215706i
\(292\) −23.7618 12.4790i −1.39056 0.730279i
\(293\) −20.0666 8.31184i −1.17230 0.485583i −0.290348 0.956921i \(-0.593771\pi\)
−0.881952 + 0.471338i \(0.843771\pi\)
\(294\) 1.29601 + 2.33929i 0.0755849 + 0.136430i
\(295\) −2.53671 + 2.53671i −0.147693 + 0.147693i
\(296\) 12.2696 13.8387i 0.713159 0.804360i
\(297\) −0.450392 + 3.96691i −0.0261344 + 0.230184i
\(298\) −14.4471 23.9054i −0.836896 1.38480i
\(299\) −11.5118 4.76836i −0.665747 0.275761i
\(300\) 13.2561 10.2210i 0.765344 0.590112i
\(301\) 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
\(306\) 26.8122 2.02926i 1.53275 0.116005i
\(307\) 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
\(309\) 14.1344 5.23994i 0.804079 0.298090i
\(310\) −1.72460 2.85367i −0.0979508 0.162078i
\(311\) 8.31914 8.31914i 0.471735 0.471735i −0.430741 0.902476i \(-0.641748\pi\)
0.902476 + 0.430741i \(0.141748\pi\)
\(312\) −9.65593 + 24.8689i −0.546659 + 1.40792i
\(313\) 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
\(315\) −3.12031 1.57743i −0.175809 0.0888782i
\(316\) 5.20645 + 16.7233i 0.292885 + 0.940760i
\(317\) 0.432895 + 1.04510i 0.0243138 + 0.0586987i 0.935570 0.353141i \(-0.114886\pi\)
−0.911256 + 0.411840i \(0.864886\pi\)
\(318\) −0.487834 4.29013i −0.0273564 0.240579i
\(319\) 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
\(324\) 17.7950 2.70911i 0.988609 0.150506i
\(325\) 10.0698 24.3107i 0.558573 1.34852i
\(326\) 3.32640 + 0.820340i 0.184232 + 0.0454344i
\(327\) −0.159237 + 4.22356i −0.00880584 + 0.233564i
\(328\) 9.66219 + 19.8638i 0.533505 + 1.09680i
\(329\) 21.0851 + 21.0851i 1.16246 + 1.16246i
\(330\) −0.741167 0.212704i −0.0407999 0.0117090i
\(331\) −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
\(333\) −18.6372 + 6.12100i −1.02131 + 0.335429i
\(334\) −26.5825 + 4.04227i −1.45453 + 0.221183i
\(335\) 2.83909i 0.155116i
\(336\) 11.3247 16.1294i 0.617815 0.879928i
\(337\) 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
\(339\) −11.0553 5.07535i −0.600444 0.275655i
\(340\) −0.471324 + 5.17184i −0.0255611 + 0.280482i
\(341\) 1.69204 4.08494i 0.0916291 0.221212i
\(342\) 2.64925 1.33987i 0.143255 0.0724517i
\(343\) 11.8840 + 11.8840i 0.641677 + 0.641677i
\(344\) 1.99365 2.24861i 0.107490 0.121237i
\(345\) −1.62261 0.0611757i −0.0873581 0.00329359i
\(346\) −1.87470 + 7.60171i −0.100784 + 0.408670i
\(347\) 3.34246 8.06942i 0.179433 0.433189i −0.808415 0.588613i \(-0.799674\pi\)
0.987848 + 0.155424i \(0.0496743\pi\)
\(348\) 17.8758 4.83456i 0.958246 0.259160i
\(349\) −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 \(-0.939870\pi\)
0.982211 0.187781i \(-0.0601295\pi\)
\(354\) 2.42326 + 21.3107i 0.128795 + 1.13265i
\(355\) −0.436843 1.05463i −0.0231852 0.0559741i
\(356\) 15.3135 + 8.04220i 0.811614 + 0.426236i
\(357\) −29.2790 + 10.8544i −1.54961 + 0.574474i
\(358\) −7.25353 1.78883i −0.383361 0.0945426i
\(359\) 17.9832 + 17.9832i 0.949116 + 0.949116i 0.998767 0.0496509i \(-0.0158109\pi\)
−0.0496509 + 0.998767i \(0.515811\pi\)
\(360\) −0.0533327 + 3.47607i −0.00281088 + 0.183205i
\(361\) −13.0888 + 13.0888i −0.688884 + 0.688884i
\(362\) 10.5637 6.38412i 0.555216 0.335542i
\(363\) 6.26732 + 16.9057i 0.328949 + 0.887320i
\(364\) 2.81173 30.8531i 0.147375 1.61714i
\(365\) −5.07962 + 2.10405i −0.265879 + 0.110131i
\(366\) −6.84669 + 8.60355i −0.357882 + 0.449715i
\(367\) 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
\(372\) −19.7701 2.55587i −1.02503 0.132516i
\(373\) 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
\(375\) 0.262869 6.97227i 0.0135745 0.360046i
\(376\) 9.68256 28.0237i 0.499340 1.44521i
\(377\) 20.5841 20.5841i 1.06014 1.06014i
\(378\) −18.9957 + 8.72460i −0.977035 + 0.448745i
\(379\) −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
\(381\) −3.70216 + 8.06421i −0.189667 + 0.413142i
\(382\) −9.05917 + 12.3084i −0.463508 + 0.629754i
\(383\) −5.32676 −0.272185 −0.136092 0.990696i \(-0.543454\pi\)
−0.136092 + 0.990696i \(0.543454\pi\)
\(384\) −19.3474 3.11078i −0.987319 0.158746i
\(385\) 0.895464 0.0456371
\(386\) −4.88191 + 6.63291i −0.248483 + 0.337606i
\(387\) −3.02829 + 0.994579i −0.153937 + 0.0505573i
\(388\) 3.02722 + 9.72357i 0.153684 + 0.493639i
\(389\) −20.0435 8.30227i −1.01624 0.420942i −0.188515 0.982070i \(-0.560367\pi\)
−0.827729 + 0.561128i \(0.810367\pi\)
\(390\) 2.64844 + 4.78041i 0.134109 + 0.242065i
\(391\) −10.2544 + 10.2544i −0.518585 + 0.518585i
\(392\) −1.00846 + 2.91872i −0.0509347 + 0.147418i
\(393\) 24.4307 + 0.921090i 1.23237 + 0.0464628i
\(394\) 25.4878 15.4034i 1.28406 0.776012i
\(395\) 3.31490 + 1.37308i 0.166791 + 0.0690869i
\(396\) −3.75428 + 2.67539i −0.188660 + 0.134443i
\(397\) −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 \(-0.455259\pi\)
0.140095 + 0.990138i \(0.455259\pi\)
\(402\) 13.2816 + 10.5694i 0.662424 + 0.527156i
\(403\) −28.9519 + 11.9923i −1.44220 + 0.597377i
\(404\) −0.459067 + 5.03734i −0.0228394 + 0.250617i
\(405\) 1.90666 3.15615i 0.0947429 0.156831i
\(406\) −18.4051 + 11.1230i −0.913431 + 0.552027i
\(407\) 3.55255 3.55255i 0.176093 0.176093i
\(408\) 22.4397 + 21.4587i 1.11093 + 1.06237i
\(409\) −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
\(411\) 4.42067 + 11.9245i 0.218055 + 0.588191i
\(412\) 15.4106 + 8.09317i 0.759224 + 0.398722i
\(413\) −9.53177 23.0117i −0.469028 1.13233i
\(414\) −6.32686 + 7.36296i −0.310948 + 0.361870i
\(415\) 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 \(-0.477771\pi\)
0.754724 + 0.656042i \(0.227771\pi\)
\(420\) −1.05402 3.89724i −0.0514308 0.190166i
\(421\) −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
\(423\) −23.8482 + 20.4994i −1.15954 + 0.996717i
\(424\) 3.30761 3.73060i 0.160632 0.181174i
\(425\) −21.6552 21.6552i −1.05043 1.05043i
\(426\) −6.55997 1.88262i −0.317831 0.0912131i
\(427\) 4.88648 11.7970i 0.236473 0.570897i
\(428\) 0.234317 2.57116i 0.0113261 0.124282i
\(429\) −3.02357 + 6.58608i −0.145979 + 0.317979i
\(430\) −0.0925493 0.608618i −0.00446312 0.0293502i
\(431\) 18.7398i 0.902664i −0.892356 0.451332i \(-0.850949\pi\)
0.892356 0.451332i \(-0.149051\pi\)
\(432\) 16.0629 + 13.1903i 0.772825 + 0.634619i
\(433\) 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
\(435\) 1.58272 3.44755i 0.0758856 0.165297i
\(436\) −3.74993 + 3.12353i −0.179589 + 0.149590i
\(437\) −0.612733 + 1.47927i −0.0293110 + 0.0707630i
\(438\) −9.06759 + 31.5960i −0.433266 + 1.50971i
\(439\) 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
\(441\) 2.48383 2.13505i 0.118278 0.101669i
\(442\) 47.3886 + 11.6867i 2.25405 + 0.555882i
\(443\) −5.97491 + 14.4247i −0.283877 + 0.685339i −0.999919 0.0127177i \(-0.995952\pi\)
0.716042 + 0.698057i \(0.245952\pi\)
\(444\) −19.6430 11.2799i −0.932215 0.535318i
\(445\) 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 \(0.981052\pi\)
\(450\) −15.5491 13.3611i −0.732992 0.629846i
\(451\) 2.29628 + 5.54372i 0.108128 + 0.261043i
\(452\) −4.17543 13.4116i −0.196396 0.630831i
\(453\) 6.97874 + 18.8247i 0.327890 + 0.884463i
\(454\) 7.70837 31.2567i 0.361772 1.46695i
\(455\) −4.48770 4.48770i −0.210387 0.210387i
\(456\) 3.19565 + 1.24078i 0.149650 + 0.0581050i
\(457\) 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
\(459\) −9.08976 31.6527i −0.424274 1.47742i
\(460\) −1.20000 1.44065i −0.0559502 0.0671705i
\(461\) −16.9365 + 7.01532i −0.788810 + 0.326736i −0.740465 0.672095i \(-0.765395\pi\)
−0.0483450 + 0.998831i \(0.515395\pi\)
\(462\) 3.33366 4.18907i 0.155096 0.194893i
\(463\) 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 \(-0.890985\pi\)
0.428577 0.903505i \(1.64098\pi\)
\(468\) 32.2229 + 5.40697i 1.48950 + 0.249937i
\(469\) −18.2114 7.54340i −0.840923 0.348322i
\(470\) −3.14152 5.19822i −0.144907 0.239776i
\(471\) 2.66918 + 0.100634i 0.122989 + 0.00463696i
\(472\) −16.4301 + 18.5313i −0.756258 + 0.852972i
\(473\) 0.577241 0.577241i 0.0265416 0.0265416i
\(474\) 18.7642 10.3957i 0.861866 0.477490i
\(475\) −3.12392 1.29397i −0.143335 0.0593714i
\(476\) −31.9225 16.7648i −1.46317 0.768411i
\(477\) −5.02415 + 1.65008i −0.230040 + 0.0755519i
\(478\) −9.88662 7.27669i −0.452204 0.332828i
\(479\) 11.5288 0.526765 0.263382 0.964692i \(-0.415162\pi\)
0.263382 + 0.964692i \(0.415162\pi\)
\(480\) −3.02627 + 2.63747i −0.138130 + 0.120384i
\(481\) −35.6078 −1.62358
\(482\) −5.18979 3.81975i −0.236388 0.173985i
\(483\) 4.70364 10.2457i 0.214023 0.466194i
\(484\) −9.67999 + 18.4321i −0.439999 + 0.837822i
\(485\) 1.92741 + 0.798358i 0.0875190 + 0.0362516i
\(486\) −7.66662 20.6694i −0.347765 0.937582i
\(487\) 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
\(489\) 0.158088 4.19307i 0.00714897 0.189617i
\(490\) 0.327194 + 0.541404i 0.0147811 + 0.0244581i
\(491\) −13.2408 5.48453i −0.597550 0.247513i 0.0633450 0.997992i \(-0.479823\pi\)
−0.660895 + 0.750478i \(0.729823\pi\)
\(492\) 21.4245 16.5192i 0.965892 0.744743i
\(493\) −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
\(498\) −33.0705 26.3174i −1.48192 1.17931i
\(499\) −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
\(501\) 11.4470 + 30.8776i 0.511414 + 1.37951i
\(502\) 1.43546 + 2.37524i 0.0640678 + 0.106012i
\(503\) −20.7317 + 20.7317i −0.924383 + 0.924383i −0.997335 0.0729527i \(-0.976758\pi\)
0.0729527 + 0.997335i \(0.476758\pi\)
\(504\) −22.1556 9.57795i −0.986889 0.426636i
\(505\) 0.732700 + 0.732700i 0.0326047 + 0.0326047i
\(506\) 0.595324 2.41398i 0.0264654 0.107314i
\(507\) 27.0470 10.0269i 1.20120 0.445312i
\(508\) −9.78299 + 3.04573i −0.434050 + 0.135132i
\(509\) 7.27710 + 17.5685i 0.322552 + 0.778708i 0.999104 + 0.0423143i \(0.0134731\pi\)
−0.676553 + 0.736394i \(0.736527\pi\)
\(510\) 6.31970 0.718618i 0.279841 0.0318209i
\(511\) 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
\(516\) −3.19172 1.83282i −0.140508 0.0806855i
\(517\) 3.08220 7.44109i 0.135555 0.327259i
\(518\) 25.5399 + 6.29853i 1.12216 + 0.276741i
\(519\) 9.58229 + 0.361273i 0.420616 + 0.0158581i
\(520\) −2.06081 + 5.96449i −0.0903724 + 0.261560i
\(521\) 12.9964 + 12.9964i 0.569382 + 0.569382i 0.931955 0.362573i \(-0.118102\pi\)
−0.362573 + 0.931955i \(0.618102\pi\)
\(522\) −10.2358 20.2387i −0.448009 0.885826i
\(523\) −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
\(525\) 21.6368 + 9.93314i 0.944308 + 0.433518i
\(526\) 36.9802 5.62339i 1.61241 0.245191i
\(527\) 36.4716i 1.58873i
\(528\) −5.19554 1.15881i −0.226107 0.0504308i
\(529\) 17.7643i 0.772361i
\(530\) −0.153546 1.00974i −0.00666961 0.0438603i
\(531\) 24.9568 8.19656i 1.08303 0.355700i
\(532\) −3.96461 0.361306i −0.171888 0.0156646i
\(533\) 16.2748 39.2909i 0.704940 1.70188i
\(534\) 5.84368 20.3623i 0.252881 0.881161i
\(535\) −0.373985 0.373985i −0.0161688 0.0161688i
\(536\) 1.17581 + 19.5644i 0.0507871 + 0.845055i
\(537\) −0.344725 + 9.14339i −0.0148760 + 0.394566i
\(538\) −2.27291 + 9.21644i −0.0979923 + 0.397349i
\(539\) −0.321017 + 0.775003i −0.0138272 + 0.0333817i
\(540\) 4.18217 0.798958i 0.179972 0.0343817i
\(541\) 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
\(546\) −37.7008 + 4.28699i −1.61345 + 0.183466i
\(547\) −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
\(549\) 12.0181 + 6.07560i 0.512920 + 0.259300i
\(550\) 5.09784 + 1.25720i 0.217373 + 0.0536074i
\(551\) −2.64506 2.64506i −0.112683 0.112683i
\(552\) −11.2069 + 0.250433i −0.476996 + 0.0106591i
\(553\) −17.6152 + 17.6152i −0.749075 + 0.749075i
\(554\) −15.4733 + 9.35120i −0.657397 + 0.397294i
\(555\) −4.35085 + 1.61296i −0.184683 + 0.0684662i
\(556\) −15.1800 1.38339i −0.643774 0.0586689i
\(557\) 9.67547 4.00771i 0.409963 0.169812i −0.168164 0.985759i \(-0.553784\pi\)
0.578127 + 0.815947i \(0.303784\pi\)
\(558\) 1.84255 + 24.3453i 0.0780014 + 1.03062i
\(559\) −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 \(0.0138165\pi\)
−0.675758 + 0.737124i \(0.736183\pi\)
\(564\) −36.0131 4.65574i −1.51642 0.196042i
\(565\) −2.65846 1.10117i −0.111842 0.0463266i
\(566\) −11.6107 + 7.01685i −0.488033 + 0.294940i
\(567\) 15.1792 + 20.6162i 0.637467 + 0.865797i
\(568\) −3.44710 7.08666i −0.144637 0.297350i
\(569\) −3.36174 + 3.36174i −0.140932 + 0.140932i −0.774053 0.633121i \(-0.781773\pi\)
0.633121 + 0.774053i \(0.281773\pi\)
\(570\) 0.614281 0.340323i 0.0257294 0.0142546i
\(571\) 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
\(573\) 17.0107 + 7.80935i 0.710631 + 0.326240i
\(574\) −18.6232 + 25.3028i −0.777317 + 1.05612i
\(575\) 11.0567 0.461097
\(576\) 1.07209 + 23.9760i 0.0446705 + 0.999002i
\(577\) 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
\(579\) 9.16691 + 4.20839i 0.380964 + 0.174895i
\(580\) 4.18235 1.30209i 0.173663 0.0540662i
\(581\) 45.3455 + 18.7827i 1.88125 + 0.779239i
\(582\) 10.9102 6.04445i 0.452242 0.250551i
\(583\) 0.957684 0.957684i 0.0396632 0.0396632i
\(584\) −34.1328 + 16.6029i −1.41242 + 0.687033i
\(585\) 5.07579 4.36305i 0.209858 0.180390i
\(586\) −26.2887 + 15.8874i −1.08598 + 0.656304i
\(587\) 31.3098 + 12.9689i 1.29229 + 0.535286i 0.919668 0.392696i \(-0.128458\pi\)
0.372625 + 0.927982i \(0.378458\pi\)
\(588\) 3.75083 + 0.484904i 0.154682 + 0.0199971i
\(589\) 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 \(-0.641955\pi\)
−0.431328 + 0.902195i \(0.641955\pi\)
\(594\) 4.14064 + 3.83844i 0.169893 + 0.157493i
\(595\) −6.82414 + 2.82665i −0.279763 + 0.115881i
\(596\) −39.3385 3.58502i −1.61137 0.146848i
\(597\) −3.75562 + 1.39229i −0.153707 + 0.0569827i
\(598\) −15.0814 + 9.11435i −0.616724 + 0.372714i
\(599\) −4.73031 + 4.73031i −0.193275 + 0.193275i −0.797110 0.603835i \(-0.793639\pi\)
0.603835 + 0.797110i \(0.293639\pi\)
\(600\) −0.528865 23.6666i −0.0215908 0.966187i
\(601\) 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
\(603\) 9.37907 18.5527i 0.381945 0.755523i
\(604\) −10.7788 + 20.5243i −0.438583 + 0.835124i
\(605\) 1.63211 + 3.94027i 0.0663548 + 0.160195i
\(606\) 6.15536 0.699930i 0.250044 0.0284327i
\(607\) 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
\(612\) 20.1654 32.2395i 0.815137 1.30320i
\(613\) −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
\(615\) 0.208798 5.53808i 0.00841953 0.223317i
\(616\) 6.17073 0.370856i 0.248626 0.0149422i
\(617\) −2.85391 2.85391i −0.114894 0.114894i 0.647322 0.762216i \(-0.275889\pi\)
−0.762216 + 0.647322i \(0.775889\pi\)
\(618\) 5.88072 20.4913i 0.236557 0.824282i
\(619\) 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
\(621\) 10.4012 + 5.76012i 0.417385 + 0.231146i
\(622\) −2.50134 16.4492i −0.100295 0.659552i
\(623\) 24.6013i 0.985631i
\(624\) 20.2304 + 31.8454i 0.809865 + 1.27484i
\(625\) 22.5103i 0.900411i
\(626\) 11.6707 1.77470i 0.466455 0.0709313i
\(627\) 0.846308 + 0.388528i 0.0337983 + 0.0155163i
\(628\) 1.97399 + 2.36986i 0.0787708 + 0.0945676i
\(629\) −15.8591 + 38.2873i −0.632345 + 1.52662i
\(630\) −4.41240 + 2.23158i −0.175794 + 0.0889083i
\(631\) −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
\(633\) −25.1750 0.949152i −1.00062 0.0377254i
\(634\) 1.55324 + 0.383051i 0.0616868 + 0.0152129i
\(635\) −0.803237 + 1.93919i −0.0318755 + 0.0769543i
\(636\) −5.29529 3.04078i −0.209972 0.120575i
\(637\) 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 \(-0.237714\pi\)
\(642\) −3.14182 + 0.357258i −0.123998 + 0.0140999i
\(643\) −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
\(645\) −0.706954 + 0.262083i −0.0278363 + 0.0103195i
\(646\) 1.50174 6.08942i 0.0590853 0.239585i
\(647\) −26.7097 26.7097i −1.05007 1.05007i −0.998679 0.0513899i \(-0.983635\pi\)
−0.0513899 0.998679i \(1.48363\pi\)
\(648\) 11.8319 22.5390i 0.464800 0.885415i
\(649\) −4.75718 + 4.75718i −0.186735 + 0.186735i
\(650\) −19.2477 31.8489i −0.754956 1.24922i
\(651\) −9.85567 26.5851i −0.386274 1.04195i
\(652\) 3.72286 3.10098i 0.145798 0.121444i
\(653\) 40.0093 16.5724i 1.56569 0.648528i 0.579620 0.814887i \(-0.303201\pi\)
0.986065 + 0.166358i \(0.0532008\pi\)
\(654\) 4.67703 + 3.72197i 0.182886 + 0.145541i
\(655\) 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 \(-0.0204906\pi\)
−0.751129 + 0.660155i \(0.770491\pi\)
\(660\) −0.863583 + 0.665858i −0.0336149 + 0.0259185i
\(661\) −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
\(663\) 2.25215 59.7354i 0.0874663 2.31993i
\(664\) −2.92771 48.7146i −0.113617 1.89049i
\(665\) −0.576668 + 0.576668i −0.0223622 + 0.0223622i
\(666\) −8.65188 + 26.3585i −0.335254 + 1.02137i
\(667\) 11.3007 + 4.68092i 0.437567 + 0.181246i
\(668\) −17.6801 + 33.6654i −0.684063 + 1.30255i
\(669\) −0.0770531 + 0.167841i −0.00297905 + 0.00648909i
\(670\) 3.23364 + 2.38001i 0.124927 + 0.0919476i
\(671\) −3.44895 −0.133145
\(672\) −8.87737 26.4198i −0.342452 1.01916i
\(673\) 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
\(675\) −12.1642 + 21.9652i −0.468201 + 0.845441i
\(676\) 29.4890 + 15.4868i 1.13419 + 0.595645i
\(677\) −36.6561 15.1834i −1.40881 0.583547i −0.456785 0.889577i \(-0.650999\pi\)
−0.952022 + 0.306030i \(0.900999\pi\)
\(678\) −15.0484 + 8.33707i −0.577929 + 0.320183i
\(679\) −10.2422 + 10.2422i −0.393058 + 0.393058i
\(680\) 5.49546 + 4.87237i 0.210741 + 0.186847i
\(681\) −39.4004 1.48548i −1.50983 0.0569237i
\(682\) −3.23420 5.35159i −0.123844 0.204923i
\(683\) 24.0996 + 9.98236i 0.922144 + 0.381965i 0.792693 0.609621i \(-0.208678\pi\)
0.129451 + 0.991586i \(0.458678\pi\)
\(684\) 0.694794 4.14063i 0.0265661 0.158321i
\(685\) 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
\(690\) −1.42990 + 1.79682i −0.0544355 + 0.0684037i
\(691\) 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
\(693\) −5.85161 2.95821i −0.222284 0.112373i
\(694\) −6.38885 10.5715i −0.242518 0.401290i
\(695\) −2.20798 + 2.20798i −0.0837536 + 0.0837536i
\(696\) 9.47887 24.4129i 0.359296 0.925368i
\(697\) −34.9990 34.9990i −1.32568 1.32568i
\(698\) −8.34733 + 33.8476i −0.315951 + 1.28115i
\(699\) 3.81140 + 10.2810i 0.144160 + 0.388864i
\(700\) 8.17188 + 26.2484i 0.308868 + 0.992097i
\(701\) −15.2498 36.8163i −0.575977 1.39053i −0.896396 0.443255i \(-0.853824\pi\)
0.320419 0.947276i \(1.60382\pi\)
\(702\) −1.51450 39.9879i −0.0571610 1.50925i
\(703\) 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
\(708\) 26.3037 + 15.1047i 0.988553 + 0.567670i
\(709\) 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
\(711\) −17.1259 19.9236i −0.642272 0.747193i
\(712\) 21.9971 10.6999i 0.824377 0.400995i
\(713\) −9.31087 9.31087i −0.348695 0.348695i
\(714\) −12.1817 + 42.4471i −0.455889 + 1.58854i
\(715\) −0.656007 + 1.58374i −0.0245333 + 0.0592286i
\(716\) −8.11805 + 6.76199i −0.303386 + 0.252707i
\(717\) −6.27278 + 13.6637i −0.234261 + 0.510279i
\(718\) 35.5576 5.40706i 1.32700 0.201790i
\(719\) 44.6170i 1.66393i −0.554826 0.831967i \(-0.687215\pi\)
0.554826 0.831967i \(-0.312785\pi\)
\(720\) 3.91444 + 2.97473i 0.145883 + 0.110862i
\(721\) 24.7573i 0.922008i
\(722\) 3.93545 + 25.8801i 0.146462 + 0.963157i
\(723\) −3.29277 + 7.17247i −0.122460 + 0.266747i
\(724\) 1.58421 17.3836i 0.0588768 0.646055i
\(725\) −9.88517 + 23.8649i −0.367126 + 0.886321i
\(726\) 24.5090 + 7.03374i 0.909615 + 0.261047i
\(727\) 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
\(729\) −22.8860 + 14.3258i −0.847631 + 0.530587i
\(730\) −1.86179 + 7.54936i −0.0689078 + 0.279414i
\(731\) −2.57689 + 6.22117i −0.0953098 + 0.230098i
\(732\) 4.05963 + 15.0105i 0.150048 + 0.554805i
\(733\) 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
\(738\) −25.1304 21.5941i −0.925062 0.794889i
\(739\) 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
\(741\) −2.29421 6.18849i −0.0842799 0.227340i
\(742\) 6.88496 + 1.69793i 0.252755 + 0.0623331i
\(743\) 3.20365 + 3.20365i 0.117530 + 0.117530i 0.763426 0.645895i \(-0.223516\pi\)
−0.645895 + 0.763426i \(0.723516\pi\)
\(744\) −19.4843 + 20.3751i −0.714331 + 0.746986i
\(745\) −5.72193 + 5.72193i −0.209635 + 0.209635i
\(746\) 41.5567 25.1146i 1.52150 0.919510i
\(747\) −23.3535 + 46.1954i −0.854459 + 1.69020i
\(748\) −0.883889 + 9.69891i −0.0323182 + 0.354627i
\(749\) 3.39260 1.40526i 0.123963 0.0513471i
\(750\) −7.72085 6.14424i −0.281926 0.224356i
\(751\) −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
\(756\) −5.98701 + 28.9494i −0.217746 + 1.05288i
\(757\) −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
\(759\) −3.04293 0.114725i −0.110451 0.00416425i
\(760\) 0.766434 + 0.264813i 0.0278015 + 0.00960578