Properties

Label 576.2.bl.a.83.11
Level $576$
Weight $2$
Character 576.83
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bl (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 83.11
Character \(\chi\) \(=\) 576.83
Dual form 576.2.bl.a.347.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.33110 + 0.477678i) q^{2} +(0.934604 + 1.45826i) q^{3} +(1.54365 - 1.27167i) q^{4} +(1.57302 + 1.79369i) q^{5} +(-1.94063 - 1.49464i) q^{6} +(-0.379595 + 2.88331i) q^{7} +(-1.44729 + 2.43009i) q^{8} +(-1.25303 + 2.72579i) q^{9} +O(q^{10})\) \(q+(-1.33110 + 0.477678i) q^{2} +(0.934604 + 1.45826i) q^{3} +(1.54365 - 1.27167i) q^{4} +(1.57302 + 1.79369i) q^{5} +(-1.94063 - 1.49464i) q^{6} +(-0.379595 + 2.88331i) q^{7} +(-1.44729 + 2.43009i) q^{8} +(-1.25303 + 2.72579i) q^{9} +(-2.95066 - 1.63618i) q^{10} +(4.15967 - 2.05132i) q^{11} +(3.29713 + 1.06252i) q^{12} +(-4.81605 + 1.63483i) q^{13} +(-0.872016 - 4.01929i) q^{14} +(-1.14551 + 3.97026i) q^{15} +(0.765691 - 3.92603i) q^{16} +(0.291199 - 0.291199i) q^{17} +(0.365856 - 4.22684i) q^{18} +(-1.13368 + 5.69939i) q^{19} +(4.70918 + 0.768450i) q^{20} +(-4.55938 + 2.14121i) q^{21} +(-4.55706 + 4.71750i) q^{22} +(-1.09286 - 8.30109i) q^{23} +(-4.89634 + 0.160644i) q^{24} +(-0.0902886 + 0.685810i) q^{25} +(5.62971 - 4.47664i) q^{26} +(-5.14599 + 0.720293i) q^{27} +(3.08067 + 4.93353i) q^{28} +(5.91340 - 0.387584i) q^{29} +(-0.371727 - 5.83200i) q^{30} +(-1.09637 - 1.89897i) q^{31} +(0.856170 + 5.59169i) q^{32} +(6.87901 + 4.14870i) q^{33} +(-0.248515 + 0.526714i) q^{34} +(-5.76888 + 3.85464i) q^{35} +(1.53208 + 5.80110i) q^{36} +(7.87307 - 1.56605i) q^{37} +(-1.21344 - 8.12798i) q^{38} +(-6.88510 - 5.49512i) q^{39} +(-6.63546 + 1.22659i) q^{40} +(8.57820 - 1.12934i) q^{41} +(5.04617 - 5.02807i) q^{42} +(0.566293 - 0.279265i) q^{43} +(3.81245 - 8.45627i) q^{44} +(-6.86026 + 2.04018i) q^{45} +(5.41995 + 10.5275i) q^{46} +(-12.3323 + 3.30442i) q^{47} +(6.44078 - 2.55271i) q^{48} +(-1.40790 - 0.377246i) q^{49} +(-0.207414 - 0.956009i) q^{50} +(0.696799 + 0.152487i) q^{51} +(-5.35531 + 8.64804i) q^{52} +(-5.24476 + 7.84934i) q^{53} +(6.50575 - 3.41691i) q^{54} +(10.2227 + 4.23438i) q^{55} +(-6.45732 - 5.09545i) q^{56} +(-9.37072 + 3.67348i) q^{57} +(-7.68617 + 3.34061i) q^{58} +(5.10921 - 4.48066i) q^{59} +(3.28062 + 7.58540i) q^{60} +(-8.57651 + 0.562134i) q^{61} +(2.36647 + 2.00400i) q^{62} +(-7.38364 - 4.64757i) q^{63} +(-3.81068 - 7.03411i) q^{64} +(-10.5081 - 6.06687i) q^{65} +(-11.1384 - 2.23637i) q^{66} +(-8.63986 - 4.26071i) q^{67} +(0.0791982 - 0.819819i) q^{68} +(11.0837 - 9.35190i) q^{69} +(5.83766 - 7.88657i) q^{70} +(1.92635 + 4.65062i) q^{71} +(-4.81041 - 6.98999i) q^{72} +(-2.14885 + 5.18777i) q^{73} +(-9.73176 + 5.84536i) q^{74} +(-1.08447 + 0.509297i) q^{75} +(5.49776 + 10.2395i) q^{76} +(4.33561 + 12.7723i) q^{77} +(11.7896 + 4.02568i) q^{78} +(-6.60645 + 1.77019i) q^{79} +(8.24653 - 4.80233i) q^{80} +(-5.85983 - 6.83098i) q^{81} +(-10.8790 + 5.60089i) q^{82} +(7.35606 - 8.38798i) q^{83} +(-4.31515 + 9.10331i) q^{84} +(0.980384 + 0.0642577i) q^{85} +(-0.620393 + 0.642234i) q^{86} +(6.09188 + 8.26102i) q^{87} +(-1.03537 + 13.0773i) q^{88} +(3.09356 + 7.46852i) q^{89} +(8.15714 - 5.99268i) q^{90} +(-2.88557 - 14.5067i) q^{91} +(-12.2433 - 11.4242i) q^{92} +(1.74451 - 3.37357i) q^{93} +(14.8370 - 10.2894i) q^{94} +(-12.0062 + 6.93181i) q^{95} +(-7.35394 + 6.47453i) q^{96} +(12.4101 + 7.16499i) q^{97} +(2.05426 - 0.170372i) q^{98} +(0.379278 + 13.9088i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} - 32 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 16 q^{15} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} - 16 q^{21} - 8 q^{22} - 24 q^{23} - 96 q^{24} - 8 q^{25} - 16 q^{27} - 32 q^{28} - 24 q^{29} + 64 q^{30} - 16 q^{31} - 24 q^{32} - 8 q^{34} + 64 q^{36} - 32 q^{37} - 24 q^{38} - 16 q^{39} - 8 q^{40} - 24 q^{41} - 96 q^{42} - 8 q^{43} - 16 q^{45} - 32 q^{46} - 24 q^{47} - 16 q^{48} - 8 q^{49} - 24 q^{50} - 16 q^{51} - 8 q^{52} - 16 q^{54} - 32 q^{55} - 24 q^{56} - 16 q^{57} + 64 q^{58} - 24 q^{59} - 16 q^{60} - 8 q^{61} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 24 q^{68} - 16 q^{69} - 8 q^{70} - 16 q^{72} - 32 q^{73} - 24 q^{74} - 16 q^{75} - 56 q^{76} - 24 q^{77} - 40 q^{78} - 8 q^{79} - 16 q^{81} - 32 q^{82} - 24 q^{83} - 128 q^{84} - 8 q^{85} - 24 q^{86} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 32 q^{91} - 480 q^{92} + 8 q^{93} - 8 q^{94} - 48 q^{95} - 152 q^{96} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{7}{16}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33110 + 0.477678i −0.941229 + 0.337770i
\(3\) 0.934604 + 1.45826i 0.539594 + 0.841925i
\(4\) 1.54365 1.27167i 0.771823 0.635837i
\(5\) 1.57302 + 1.79369i 0.703478 + 0.802163i 0.987661 0.156607i \(-0.0500557\pi\)
−0.284183 + 0.958770i \(0.591722\pi\)
\(6\) −1.94063 1.49464i −0.792258 0.610186i
\(7\) −0.379595 + 2.88331i −0.143473 + 1.08979i 0.756547 + 0.653940i \(0.226885\pi\)
−0.900020 + 0.435849i \(0.856448\pi\)
\(8\) −1.44729 + 2.43009i −0.511696 + 0.859167i
\(9\) −1.25303 + 2.72579i −0.417677 + 0.908596i
\(10\) −2.95066 1.63618i −0.933080 0.517405i
\(11\) 4.15967 2.05132i 1.25419 0.618497i 0.310891 0.950446i \(-0.399373\pi\)
0.943298 + 0.331948i \(0.107706\pi\)
\(12\) 3.29713 + 1.06252i 0.951799 + 0.306724i
\(13\) −4.81605 + 1.63483i −1.33573 + 0.453420i −0.895738 0.444582i \(-0.853352\pi\)
−0.439993 + 0.898001i \(0.645019\pi\)
\(14\) −0.872016 4.01929i −0.233056 1.07420i
\(15\) −1.14551 + 3.97026i −0.295769 + 1.02512i
\(16\) 0.765691 3.92603i 0.191423 0.981508i
\(17\) 0.291199 0.291199i 0.0706261 0.0706261i −0.670911 0.741538i \(-0.734097\pi\)
0.741538 + 0.670911i \(0.234097\pi\)
\(18\) 0.365856 4.22684i 0.0862332 0.996275i
\(19\) −1.13368 + 5.69939i −0.260084 + 1.30753i 0.601075 + 0.799193i \(0.294739\pi\)
−0.861158 + 0.508337i \(0.830261\pi\)
\(20\) 4.70918 + 0.768450i 1.05301 + 0.171831i
\(21\) −4.55938 + 2.14121i −0.994938 + 0.467250i
\(22\) −4.55706 + 4.71750i −0.971569 + 1.00577i
\(23\) −1.09286 8.30109i −0.227877 1.73090i −0.597635 0.801768i \(-0.703893\pi\)
0.369758 0.929128i \(-0.379440\pi\)
\(24\) −4.89634 + 0.160644i −0.999462 + 0.0327913i
\(25\) −0.0902886 + 0.685810i −0.0180577 + 0.137162i
\(26\) 5.62971 4.47664i 1.10408 0.877941i
\(27\) −5.14599 + 0.720293i −0.990346 + 0.138620i
\(28\) 3.08067 + 4.93353i 0.582192 + 0.932350i
\(29\) 5.91340 0.387584i 1.09809 0.0719726i 0.494432 0.869216i \(-0.335376\pi\)
0.603658 + 0.797244i \(0.293709\pi\)
\(30\) −0.371727 5.83200i −0.0678677 1.06477i
\(31\) −1.09637 1.89897i −0.196914 0.341064i 0.750613 0.660743i \(-0.229758\pi\)
−0.947526 + 0.319678i \(0.896425\pi\)
\(32\) 0.856170 + 5.59169i 0.151351 + 0.988480i
\(33\) 6.87901 + 4.14870i 1.19748 + 0.722196i
\(34\) −0.248515 + 0.526714i −0.0426200 + 0.0903307i
\(35\) −5.76888 + 3.85464i −0.975118 + 0.651553i
\(36\) 1.53208 + 5.80110i 0.255346 + 0.966850i
\(37\) 7.87307 1.56605i 1.29432 0.257457i 0.500570 0.865696i \(-0.333124\pi\)
0.793754 + 0.608239i \(0.208124\pi\)
\(38\) −1.21344 8.12798i −0.196845 1.31853i
\(39\) −6.88510 5.49512i −1.10250 0.879923i
\(40\) −6.63546 + 1.22659i −1.04916 + 0.193941i
\(41\) 8.57820 1.12934i 1.33969 0.176374i 0.573615 0.819125i \(-0.305541\pi\)
0.766075 + 0.642752i \(0.222207\pi\)
\(42\) 5.04617 5.02807i 0.778642 0.775849i
\(43\) 0.566293 0.279265i 0.0863588 0.0425874i −0.398596 0.917126i \(-0.630503\pi\)
0.484955 + 0.874539i \(0.338836\pi\)
\(44\) 3.81245 8.45627i 0.574749 1.27483i
\(45\) −6.86026 + 2.04018i −1.02267 + 0.304132i
\(46\) 5.41995 + 10.5275i 0.799128 + 1.55220i
\(47\) −12.3323 + 3.30442i −1.79885 + 0.482000i −0.993797 0.111208i \(-0.964528\pi\)
−0.805050 + 0.593207i \(0.797861\pi\)
\(48\) 6.44078 2.55271i 0.929647 0.368452i
\(49\) −1.40790 0.377246i −0.201129 0.0538923i
\(50\) −0.207414 0.956009i −0.0293327 0.135200i
\(51\) 0.696799 + 0.152487i 0.0975714 + 0.0213525i
\(52\) −5.35531 + 8.64804i −0.742648 + 1.19927i
\(53\) −5.24476 + 7.84934i −0.720424 + 1.07819i 0.272811 + 0.962068i \(0.412047\pi\)
−0.993235 + 0.116123i \(0.962953\pi\)
\(54\) 6.50575 3.41691i 0.885320 0.464982i
\(55\) 10.2227 + 4.23438i 1.37843 + 0.570964i
\(56\) −6.45732 5.09545i −0.862895 0.680908i
\(57\) −9.37072 + 3.67348i −1.24118 + 0.486564i
\(58\) −7.68617 + 3.34061i −1.00924 + 0.438644i
\(59\) 5.10921 4.48066i 0.665162 0.583332i −0.258746 0.965945i \(-0.583309\pi\)
0.923908 + 0.382614i \(0.124976\pi\)
\(60\) 3.28062 + 7.58540i 0.423527 + 0.979270i
\(61\) −8.57651 + 0.562134i −1.09811 + 0.0719739i −0.603667 0.797237i \(-0.706294\pi\)
−0.494442 + 0.869211i \(0.664628\pi\)
\(62\) 2.36647 + 2.00400i 0.300542 + 0.254508i
\(63\) −7.38364 4.64757i −0.930252 0.585538i
\(64\) −3.81068 7.03411i −0.476334 0.879264i
\(65\) −10.5081 6.06687i −1.30337 0.752503i
\(66\) −11.1384 2.23637i −1.37104 0.275279i
\(67\) −8.63986 4.26071i −1.05553 0.520528i −0.170158 0.985417i \(-0.554428\pi\)
−0.885369 + 0.464889i \(0.846094\pi\)
\(68\) 0.0791982 0.819819i 0.00960419 0.0994176i
\(69\) 11.0837 9.35190i 1.33432 1.12584i
\(70\) 5.83766 7.88657i 0.697734 0.942626i
\(71\) 1.92635 + 4.65062i 0.228615 + 0.551926i 0.996009 0.0892495i \(-0.0284469\pi\)
−0.767394 + 0.641176i \(0.778447\pi\)
\(72\) −4.81041 6.98999i −0.566912 0.823779i
\(73\) −2.14885 + 5.18777i −0.251503 + 0.607183i −0.998326 0.0578405i \(-0.981579\pi\)
0.746822 + 0.665024i \(0.231579\pi\)
\(74\) −9.73176 + 5.84536i −1.13129 + 0.679509i
\(75\) −1.08447 + 0.509297i −0.125224 + 0.0588085i
\(76\) 5.49776 + 10.2395i 0.630637 + 1.17455i
\(77\) 4.33561 + 12.7723i 0.494089 + 1.45554i
\(78\) 11.7896 + 4.02568i 1.33491 + 0.455819i
\(79\) −6.60645 + 1.77019i −0.743283 + 0.199162i −0.610537 0.791988i \(-0.709046\pi\)
−0.132746 + 0.991150i \(0.542380\pi\)
\(80\) 8.24653 4.80233i 0.921990 0.536917i
\(81\) −5.85983 6.83098i −0.651093 0.758998i
\(82\) −10.8790 + 5.60089i −1.20138 + 0.618514i
\(83\) 7.35606 8.38798i 0.807432 0.920700i −0.190709 0.981647i \(-0.561079\pi\)
0.998141 + 0.0609465i \(0.0194119\pi\)
\(84\) −4.31515 + 9.10331i −0.470822 + 0.993252i
\(85\) 0.980384 + 0.0642577i 0.106338 + 0.00696973i
\(86\) −0.620393 + 0.642234i −0.0668986 + 0.0692539i
\(87\) 6.09188 + 8.26102i 0.653118 + 0.885674i
\(88\) −1.03537 + 13.0773i −0.110371 + 1.39404i
\(89\) 3.09356 + 7.46852i 0.327917 + 0.791661i 0.998747 + 0.0500500i \(0.0159381\pi\)
−0.670830 + 0.741611i \(0.734062\pi\)
\(90\) 8.15714 5.99268i 0.859838 0.631684i
\(91\) −2.88557 14.5067i −0.302490 1.52072i
\(92\) −12.2433 11.4242i −1.27645 1.19105i
\(93\) 1.74451 3.37357i 0.180897 0.349823i
\(94\) 14.8370 10.2894i 1.53032 1.06127i
\(95\) −12.0062 + 6.93181i −1.23181 + 0.711188i
\(96\) −7.35394 + 6.47453i −0.750558 + 0.660804i
\(97\) 12.4101 + 7.16499i 1.26006 + 0.727495i 0.973085 0.230444i \(-0.0740180\pi\)
0.286972 + 0.957939i \(0.407351\pi\)
\(98\) 2.05426 0.170372i 0.207511 0.0172102i
\(99\) 0.379278 + 13.9088i 0.0381189 + 1.39788i
\(100\) 0.732753 + 1.17347i 0.0732753 + 0.117347i
\(101\) 10.6604 + 3.61872i 1.06075 + 0.360076i 0.796664 0.604423i \(-0.206596\pi\)
0.264087 + 0.964499i \(0.414929\pi\)
\(102\) −1.00035 + 0.129870i −0.0990492 + 0.0128591i
\(103\) 2.02016 2.63273i 0.199053 0.259410i −0.683152 0.730276i \(-0.739392\pi\)
0.882205 + 0.470865i \(0.156058\pi\)
\(104\) 2.99746 14.0695i 0.293925 1.37963i
\(105\) −11.0127 4.80994i −1.07473 0.469402i
\(106\) 3.23184 12.9536i 0.313904 1.25816i
\(107\) 0.271524 0.406365i 0.0262493 0.0392848i −0.818113 0.575058i \(-0.804980\pi\)
0.844362 + 0.535773i \(0.179980\pi\)
\(108\) −7.02761 + 7.65589i −0.676232 + 0.736689i
\(109\) 13.4513 + 2.67563i 1.28840 + 0.256279i 0.791308 0.611418i \(-0.209401\pi\)
0.497093 + 0.867697i \(0.334401\pi\)
\(110\) −15.6301 0.753216i −1.49027 0.0718163i
\(111\) 9.64191 + 10.0173i 0.915169 + 0.950802i
\(112\) 11.0293 + 3.69802i 1.04217 + 0.349430i
\(113\) 0.402951 1.50383i 0.0379064 0.141469i −0.944379 0.328859i \(-0.893336\pi\)
0.982286 + 0.187390i \(0.0600027\pi\)
\(114\) 10.7186 9.36595i 1.00389 0.877201i
\(115\) 13.1705 15.0181i 1.22815 1.40044i
\(116\) 8.63531 8.11821i 0.801769 0.753756i
\(117\) 1.57846 15.1760i 0.145928 1.40302i
\(118\) −4.66055 + 8.40475i −0.429038 + 0.773720i
\(119\) 0.729079 + 0.950154i 0.0668346 + 0.0871005i
\(120\) −7.99021 8.52983i −0.729403 0.778663i
\(121\) 6.39857 8.33879i 0.581689 0.758071i
\(122\) 11.1477 4.84507i 1.00926 0.438652i
\(123\) 9.66409 + 11.4537i 0.871382 + 1.03275i
\(124\) −4.10727 1.53711i −0.368844 0.138036i
\(125\) 8.54617 5.71037i 0.764393 0.510751i
\(126\) 12.0484 + 2.65936i 1.07336 + 0.236915i
\(127\) 12.4458i 1.10439i 0.833716 + 0.552193i \(0.186209\pi\)
−0.833716 + 0.552193i \(0.813791\pi\)
\(128\) 8.43243 + 7.54282i 0.745328 + 0.666698i
\(129\) 0.936499 + 0.564798i 0.0824541 + 0.0497277i
\(130\) 16.8854 + 3.05610i 1.48095 + 0.268038i
\(131\) 6.95671 14.1068i 0.607811 1.23252i −0.347712 0.937601i \(-0.613041\pi\)
0.955523 0.294917i \(-0.0952920\pi\)
\(132\) 15.8945 2.34373i 1.38344 0.203995i
\(133\) −16.0028 5.43221i −1.38762 0.471032i
\(134\) 13.5358 + 1.54435i 1.16931 + 0.133411i
\(135\) −9.38674 8.09727i −0.807882 0.696902i
\(136\) 0.286189 + 1.12909i 0.0245405 + 0.0968187i
\(137\) 6.30930 4.84130i 0.539040 0.413620i −0.303036 0.952979i \(-0.598000\pi\)
0.842076 + 0.539359i \(0.181333\pi\)
\(138\) −10.2863 + 17.7428i −0.875631 + 1.51036i
\(139\) 5.19350 + 0.340400i 0.440507 + 0.0288723i 0.284043 0.958811i \(-0.408324\pi\)
0.156463 + 0.987684i \(0.449991\pi\)
\(140\) −4.00326 + 13.2863i −0.338337 + 1.12290i
\(141\) −16.3445 14.8953i −1.37645 1.25441i
\(142\) −4.78566 5.27025i −0.401603 0.442270i
\(143\) −16.6796 + 16.6796i −1.39482 + 1.39482i
\(144\) 9.74209 + 7.00654i 0.811841 + 0.583879i
\(145\) 9.99712 + 9.99712i 0.830216 + 0.830216i
\(146\) 0.382239 7.93190i 0.0316343 0.656448i
\(147\) −0.765708 2.40566i −0.0631546 0.198415i
\(148\) 10.1617 12.4294i 0.835289 1.02169i
\(149\) 0.127983 1.95264i 0.0104847 0.159966i −0.989406 0.145176i \(-0.953625\pi\)
0.999891 0.0147904i \(-0.00470811\pi\)
\(150\) 1.20026 1.19595i 0.0980007 0.0976491i
\(151\) −5.20507 6.78338i −0.423583 0.552024i 0.532001 0.846744i \(-0.321440\pi\)
−0.955584 + 0.294720i \(0.904774\pi\)
\(152\) −12.2093 11.0036i −0.990302 0.892513i
\(153\) 0.428866 + 1.15863i 0.0346717 + 0.0936695i
\(154\) −11.8722 14.9302i −0.956687 1.20311i
\(155\) 1.68154 4.95366i 0.135065 0.397888i
\(156\) −17.6162 + 0.273076i −1.41042 + 0.0218636i
\(157\) −7.14935 3.52567i −0.570580 0.281379i 0.134026 0.990978i \(-0.457210\pi\)
−0.704606 + 0.709599i \(0.748876\pi\)
\(158\) 7.94825 5.51206i 0.632329 0.438516i
\(159\) −16.3481 0.312186i −1.29649 0.0247579i
\(160\) −8.68298 + 10.3316i −0.686450 + 0.816782i
\(161\) 24.3494 1.91900
\(162\) 11.0630 + 6.29360i 0.869194 + 0.494472i
\(163\) 1.21771 + 1.82243i 0.0953784 + 0.142744i 0.876090 0.482148i \(-0.160143\pi\)
−0.780712 + 0.624892i \(0.785143\pi\)
\(164\) 11.8056 12.6520i 0.921859 0.987954i
\(165\) 3.37936 + 18.8648i 0.263083 + 1.46862i
\(166\) −5.78488 + 14.6791i −0.448994 + 1.13932i
\(167\) 3.23549 + 2.48268i 0.250370 + 0.192116i 0.726320 0.687357i \(-0.241229\pi\)
−0.475950 + 0.879472i \(0.657896\pi\)
\(168\) 1.39544 14.1787i 0.107661 1.09391i
\(169\) 10.2081 7.83292i 0.785235 0.602532i
\(170\) −1.33568 + 0.382775i −0.102442 + 0.0293575i
\(171\) −14.1148 10.2317i −1.07938 0.782435i
\(172\) 0.519022 1.15123i 0.0395751 0.0877801i
\(173\) −3.22674 2.82977i −0.245324 0.215144i 0.527849 0.849338i \(-0.322999\pi\)
−0.773174 + 0.634194i \(0.781332\pi\)
\(174\) −12.0550 8.08627i −0.913888 0.613018i
\(175\) −1.94313 0.520660i −0.146887 0.0393582i
\(176\) −4.86854 17.9017i −0.366980 1.34939i
\(177\) 11.3090 + 3.26290i 0.850039 + 0.245255i
\(178\) −7.68538 8.46361i −0.576044 0.634374i
\(179\) 0.293958 1.47783i 0.0219715 0.110458i −0.968243 0.250010i \(-0.919566\pi\)
0.990215 + 0.139552i \(0.0445661\pi\)
\(180\) −7.99538 + 11.8733i −0.595940 + 0.884986i
\(181\) 0.102733 + 0.0686443i 0.00763612 + 0.00510229i 0.559382 0.828910i \(-0.311038\pi\)
−0.551746 + 0.834012i \(0.686038\pi\)
\(182\) 10.7705 + 17.9315i 0.798364 + 1.32917i
\(183\) −8.83537 11.9814i −0.653130 0.885689i
\(184\) 21.7541 + 9.35837i 1.60373 + 0.689908i
\(185\) 15.1935 + 11.6584i 1.11705 + 0.857143i
\(186\) −0.710634 + 5.32387i −0.0521062 + 0.390365i
\(187\) 0.613949 1.80864i 0.0448964 0.132261i
\(188\) −14.8345 + 20.7835i −1.08192 + 1.51579i
\(189\) −0.123436 15.1109i −0.00897866 1.09916i
\(190\) 12.6703 14.9620i 0.919201 1.08546i
\(191\) −0.492101 + 0.852344i −0.0356072 + 0.0616735i −0.883280 0.468846i \(-0.844670\pi\)
0.847673 + 0.530520i \(0.178003\pi\)
\(192\) 6.69608 12.1311i 0.483248 0.875484i
\(193\) −2.86907 4.96937i −0.206520 0.357703i 0.744096 0.668073i \(-0.232881\pi\)
−0.950616 + 0.310369i \(0.899547\pi\)
\(194\) −19.9417 3.60926i −1.43173 0.259130i
\(195\) −0.973882 20.9937i −0.0697412 1.50339i
\(196\) −2.65303 + 1.20806i −0.189502 + 0.0862897i
\(197\) −2.71079 + 0.539210i −0.193136 + 0.0384171i −0.290710 0.956811i \(-0.593892\pi\)
0.0975745 + 0.995228i \(0.468892\pi\)
\(198\) −7.14877 18.3327i −0.508041 1.30285i
\(199\) 10.2768 4.25681i 0.728506 0.301757i 0.0125681 0.999921i \(-0.495999\pi\)
0.715938 + 0.698164i \(0.245999\pi\)
\(200\) −1.53591 1.21198i −0.108605 0.0856998i
\(201\) −1.86164 16.5812i −0.131310 1.16955i
\(202\) −15.9186 + 0.275372i −1.12003 + 0.0193751i
\(203\) −1.12717 + 17.1973i −0.0791118 + 1.20701i
\(204\) 1.26953 0.650715i 0.0888846 0.0455591i
\(205\) 15.5194 + 13.6102i 1.08392 + 0.950574i
\(206\) −1.43144 + 4.46941i −0.0997331 + 0.311399i
\(207\) 23.9964 + 7.42261i 1.66786 + 0.515907i
\(208\) 2.73078 + 20.1597i 0.189346 + 1.39783i
\(209\) 6.97556 + 26.0331i 0.482509 + 1.80075i
\(210\) 16.9566 + 1.14199i 1.17011 + 0.0788050i
\(211\) −4.60044 + 1.56164i −0.316707 + 0.107508i −0.475267 0.879842i \(-0.657648\pi\)
0.158559 + 0.987349i \(0.449315\pi\)
\(212\) 1.88574 + 18.7862i 0.129513 + 1.29024i
\(213\) −4.98142 + 7.15560i −0.341321 + 0.490293i
\(214\) −0.167314 + 0.670613i −0.0114374 + 0.0458422i
\(215\) 1.39171 + 0.576463i 0.0949135 + 0.0393145i
\(216\) 5.69738 13.5477i 0.387658 0.921803i
\(217\) 5.89148 2.44033i 0.399940 0.165660i
\(218\) −19.1831 + 2.86387i −1.29924 + 0.193966i
\(219\) −9.57343 + 1.71494i −0.646913 + 0.115885i
\(220\) 21.1650 6.46356i 1.42694 0.435773i
\(221\) −0.926368 + 1.87849i −0.0623142 + 0.126361i
\(222\) −17.6194 8.72831i −1.18254 0.585806i
\(223\) 9.46953 16.4017i 0.634126 1.09834i −0.352573 0.935784i \(-0.614693\pi\)
0.986700 0.162555i \(-0.0519734\pi\)
\(224\) −16.4476 + 0.346028i −1.09895 + 0.0231199i
\(225\) −1.75624 1.10545i −0.117082 0.0736965i
\(226\) 0.181981 + 2.19423i 0.0121052 + 0.145958i
\(227\) 0.365334 + 5.57391i 0.0242480 + 0.369954i 0.992688 + 0.120707i \(0.0385162\pi\)
−0.968440 + 0.249246i \(0.919817\pi\)
\(228\) −9.79361 + 17.5870i −0.648598 + 1.16473i
\(229\) 6.69237 + 7.63118i 0.442244 + 0.504283i 0.929421 0.369020i \(-0.120307\pi\)
−0.487177 + 0.873303i \(0.661973\pi\)
\(230\) −10.3574 + 26.2818i −0.682947 + 1.73297i
\(231\) −14.5732 + 18.2595i −0.958847 + 1.20139i
\(232\) −7.61656 + 14.9310i −0.500052 + 0.980270i
\(233\) 2.49185 6.01586i 0.163246 0.394112i −0.820996 0.570933i \(-0.806582\pi\)
0.984243 + 0.176821i \(0.0565815\pi\)
\(234\) 5.14817 + 20.9548i 0.336546 + 1.36986i
\(235\) −25.3261 16.9223i −1.65209 1.10389i
\(236\) 2.18888 13.4138i 0.142484 0.873164i
\(237\) −8.75581 7.97947i −0.568751 0.518322i
\(238\) −1.42434 0.916484i −0.0923265 0.0594068i
\(239\) −4.82455 + 18.0054i −0.312074 + 1.16468i 0.614609 + 0.788832i \(0.289314\pi\)
−0.926683 + 0.375844i \(0.877353\pi\)
\(240\) 14.7103 + 7.53729i 0.949544 + 0.486530i
\(241\) 3.05759 + 11.4111i 0.196957 + 0.735052i 0.991752 + 0.128174i \(0.0409116\pi\)
−0.794795 + 0.606878i \(0.792422\pi\)
\(242\) −4.53388 + 14.1562i −0.291449 + 0.909995i
\(243\) 4.48471 14.9294i 0.287694 0.957722i
\(244\) −12.5242 + 11.7743i −0.801783 + 0.753769i
\(245\) −1.53800 3.11875i −0.0982592 0.199250i
\(246\) −18.3351 10.6297i −1.16900 0.677726i
\(247\) −3.85767 29.3019i −0.245457 1.86443i
\(248\) 6.20143 + 0.0840894i 0.393791 + 0.00533968i
\(249\) 19.1068 + 2.88759i 1.21085 + 0.182993i
\(250\) −8.64808 + 11.6834i −0.546952 + 0.738922i
\(251\) −3.75900 18.8978i −0.237266 1.19282i −0.897245 0.441533i \(-0.854435\pi\)
0.659979 0.751284i \(-0.270565\pi\)
\(252\) −17.3079 + 2.21539i −1.09030 + 0.139556i
\(253\) −21.5741 32.2880i −1.35636 2.02993i
\(254\) −5.94509 16.5666i −0.373028 1.03948i
\(255\) 0.822566 + 1.48971i 0.0515111 + 0.0932891i
\(256\) −14.8274 6.01225i −0.926715 0.375766i
\(257\) 24.5602 14.1799i 1.53202 0.884515i 0.532757 0.846269i \(-0.321156\pi\)
0.999268 0.0382465i \(-0.0121772\pi\)
\(258\) −1.51636 0.304457i −0.0944047 0.0189547i
\(259\) 1.52683 + 23.2950i 0.0948727 + 1.44748i
\(260\) −23.9359 + 3.99781i −1.48444 + 0.247934i
\(261\) −6.35319 + 16.6043i −0.393252 + 1.02778i
\(262\) −2.52155 + 22.1006i −0.155782 + 1.36538i
\(263\) 10.5191 + 1.38486i 0.648633 + 0.0853942i 0.447662 0.894203i \(-0.352257\pi\)
0.200971 + 0.979597i \(0.435590\pi\)
\(264\) −20.0377 + 10.7122i −1.23323 + 0.659291i
\(265\) −22.3294 + 2.93973i −1.37169 + 0.180586i
\(266\) 23.8961 0.413372i 1.46516 0.0253455i
\(267\) −7.99977 + 11.4913i −0.489578 + 0.703257i
\(268\) −18.7551 + 4.41006i −1.14565 + 0.269387i
\(269\) −2.93284 0.583379i −0.178819 0.0355692i 0.104869 0.994486i \(-0.466558\pi\)
−0.283687 + 0.958917i \(0.591558\pi\)
\(270\) 16.3626 + 6.29442i 0.995794 + 0.383066i
\(271\) −5.44701 5.44701i −0.330882 0.330882i 0.522039 0.852922i \(-0.325171\pi\)
−0.852922 + 0.522039i \(0.825171\pi\)
\(272\) −0.920288 1.36622i −0.0558006 0.0828395i
\(273\) 18.4577 17.7659i 1.11711 1.07524i
\(274\) −6.08572 + 9.45806i −0.367652 + 0.571383i
\(275\) 1.03125 + 3.03796i 0.0621865 + 0.183196i
\(276\) 5.21680 28.5309i 0.314014 1.71736i
\(277\) −7.64004 15.4925i −0.459045 0.930852i −0.996177 0.0873537i \(-0.972159\pi\)
0.537132 0.843498i \(-0.319508\pi\)
\(278\) −7.07566 + 2.02772i −0.424370 + 0.121614i
\(279\) 6.54996 0.609006i 0.392136 0.0364603i
\(280\) −1.01786 19.5977i −0.0608286 1.17119i
\(281\) −22.9561 3.02223i −1.36945 0.180291i −0.590325 0.807165i \(-0.701001\pi\)
−0.779120 + 0.626874i \(0.784334\pi\)
\(282\) 28.8713 + 12.0197i 1.71926 + 0.715763i
\(283\) 15.7286 13.7936i 0.934970 0.819946i −0.0489054 0.998803i \(-0.515573\pi\)
0.983875 + 0.178857i \(0.0572400\pi\)
\(284\) 8.88767 + 4.72922i 0.527386 + 0.280628i
\(285\) −21.3294 11.0297i −1.26345 0.653343i
\(286\) 14.2347 30.1697i 0.841717 1.78397i
\(287\) 25.1623i 1.48528i
\(288\) −16.3146 4.67281i −0.961345 0.275348i
\(289\) 16.8304i 0.990024i
\(290\) −18.0826 8.53174i −1.06184 0.501001i
\(291\) 1.15016 + 24.7936i 0.0674234 + 1.45343i
\(292\) 3.28010 + 10.7407i 0.191953 + 0.628553i
\(293\) 6.94176 6.08776i 0.405542 0.355651i −0.432142 0.901805i \(-0.642242\pi\)
0.837684 + 0.546155i \(0.183909\pi\)
\(294\) 2.16836 + 2.83640i 0.126462 + 0.165422i
\(295\) 16.0738 + 2.11616i 0.935854 + 0.123207i
\(296\) −7.58901 + 21.3988i −0.441102 + 1.24378i
\(297\) −19.9281 + 13.5523i −1.15634 + 0.786382i
\(298\) 0.762375 + 2.66029i 0.0441632 + 0.154106i
\(299\) 18.8341 + 38.1918i 1.08920 + 2.20869i
\(300\) −1.02638 + 2.16527i −0.0592582 + 0.125012i
\(301\) 0.590244 + 1.73880i 0.0340211 + 0.100223i
\(302\) 10.1687 + 6.54300i 0.585145 + 0.376507i
\(303\) 4.68624 + 18.9277i 0.269217 + 1.08737i
\(304\) 21.5079 + 8.81483i 1.23356 + 0.505565i
\(305\) −14.4993 14.4993i −0.830230 0.830230i
\(306\) −1.12431 1.33739i −0.0642727 0.0764534i
\(307\) 4.04751 + 0.805100i 0.231004 + 0.0459495i 0.309235 0.950986i \(-0.399927\pi\)
−0.0782309 + 0.996935i \(0.524927\pi\)
\(308\) 22.9348 + 14.2024i 1.30683 + 0.809259i
\(309\) 5.72725 + 0.485359i 0.325812 + 0.0276111i
\(310\) 0.127959 + 7.39705i 0.00726761 + 0.420124i
\(311\) −31.9156 + 4.20177i −1.80977 + 0.238261i −0.958223 0.286021i \(-0.907667\pi\)
−0.851545 + 0.524281i \(0.824334\pi\)
\(312\) 23.3184 8.77835i 1.32014 0.496976i
\(313\) −12.9000 1.69831i −0.729148 0.0959942i −0.243193 0.969978i \(-0.578195\pi\)
−0.485955 + 0.873984i \(0.661528\pi\)
\(314\) 11.2006 + 1.27792i 0.632088 + 0.0721174i
\(315\) −3.27835 20.5547i −0.184714 1.15813i
\(316\) −7.94691 + 11.1338i −0.447049 + 0.626325i
\(317\) −0.823970 12.5714i −0.0462788 0.706077i −0.956459 0.291866i \(-0.905724\pi\)
0.910181 0.414212i \(-0.135943\pi\)
\(318\) 21.9101 7.39360i 1.22866 0.414613i
\(319\) 23.8027 13.7425i 1.33270 0.769433i
\(320\) 6.62274 17.9000i 0.370222 1.00064i
\(321\) 0.846353 + 0.0161620i 0.0472388 + 0.000902077i
\(322\) −32.4115 + 11.6312i −1.80622 + 0.648182i
\(323\) 1.32953 + 1.98978i 0.0739770 + 0.110714i
\(324\) −17.7323 3.09283i −0.985128 0.171824i
\(325\) −0.686347 3.45050i −0.0380717 0.191399i
\(326\) −2.49143 1.84416i −0.137987 0.102139i
\(327\) 8.66989 + 22.1161i 0.479446 + 1.22302i
\(328\) −9.67078 + 22.4803i −0.533980 + 1.24127i
\(329\) −4.84640 36.8121i −0.267191 2.02952i
\(330\) −13.5096 23.4967i −0.743678 1.29345i
\(331\) −10.4276 21.1450i −0.573152 1.16224i −0.969717 0.244230i \(-0.921465\pi\)
0.396566 0.918006i \(-0.370202\pi\)
\(332\) 0.688384 22.3026i 0.0377800 1.22401i
\(333\) −5.59647 + 23.4226i −0.306684 + 1.28355i
\(334\) −5.49268 1.75917i −0.300546 0.0962574i
\(335\) −5.94832 22.1994i −0.324991 1.21288i
\(336\) 4.91537 + 19.5398i 0.268155 + 1.06598i
\(337\) −4.35968 + 16.2706i −0.237487 + 0.886314i 0.739525 + 0.673129i \(0.235050\pi\)
−0.977012 + 0.213185i \(0.931616\pi\)
\(338\) −9.84631 + 15.3025i −0.535569 + 0.832349i
\(339\) 2.56958 0.817883i 0.139560 0.0444213i
\(340\) 1.59508 1.14754i 0.0865054 0.0622339i
\(341\) −8.45593 5.65007i −0.457914 0.305968i
\(342\) 23.6756 + 6.87703i 1.28023 + 0.371867i
\(343\) −6.16826 + 14.8915i −0.333055 + 0.804066i
\(344\) −0.140954 + 1.78032i −0.00759974 + 0.0959884i
\(345\) 34.2094 + 5.17001i 1.84177 + 0.278344i
\(346\) 5.64683 + 2.22536i 0.303575 + 0.119636i
\(347\) −0.850335 0.969621i −0.0456484 0.0520520i 0.728565 0.684977i \(-0.240188\pi\)
−0.774213 + 0.632925i \(0.781854\pi\)
\(348\) 19.9090 + 5.00520i 1.06724 + 0.268307i
\(349\) 1.17051 + 17.8586i 0.0626561 + 0.955948i 0.907264 + 0.420562i \(0.138167\pi\)
−0.844608 + 0.535386i \(0.820166\pi\)
\(350\) 2.83520 0.235141i 0.151548 0.0125688i
\(351\) 23.6058 11.8818i 1.25998 0.634202i
\(352\) 15.0318 + 21.5033i 0.801195 + 1.14613i
\(353\) −5.39054 + 9.33669i −0.286910 + 0.496942i −0.973070 0.230508i \(-0.925961\pi\)
0.686161 + 0.727450i \(0.259295\pi\)
\(354\) −16.6121 + 1.05884i −0.882921 + 0.0562767i
\(355\) −5.31157 + 10.7708i −0.281909 + 0.571655i
\(356\) 14.2729 + 7.59475i 0.756461 + 0.402521i
\(357\) −0.704169 + 1.95120i −0.0372686 + 0.103269i
\(358\) 0.314639 + 2.10755i 0.0166292 + 0.111388i
\(359\) −14.0915 + 5.83688i −0.743720 + 0.308059i −0.722176 0.691709i \(-0.756858\pi\)
−0.0215434 + 0.999768i \(0.506858\pi\)
\(360\) 4.97100 19.6238i 0.261995 1.03427i
\(361\) −13.6441 5.65157i −0.718110 0.297451i
\(362\) −0.169538 0.0422988i −0.00891074 0.00222318i
\(363\) 18.1402 + 1.53731i 0.952115 + 0.0806876i
\(364\) −22.9021 18.7238i −1.20040 0.981392i
\(365\) −12.6854 + 4.30613i −0.663987 + 0.225393i
\(366\) 17.4840 + 11.7279i 0.913903 + 0.613029i
\(367\) 5.45621 + 20.3629i 0.284812 + 1.06293i 0.948977 + 0.315346i \(0.102121\pi\)
−0.664165 + 0.747586i \(0.731213\pi\)
\(368\) −33.4271 2.06547i −1.74251 0.107670i
\(369\) −7.67039 + 24.7974i −0.399305 + 1.29090i
\(370\) −25.7931 8.26087i −1.34092 0.429462i
\(371\) −20.6412 18.1018i −1.07164 0.939801i
\(372\) −1.59717 7.42605i −0.0828095 0.385023i
\(373\) 0.983259 15.0016i 0.0509112 0.776755i −0.893721 0.448624i \(-0.851914\pi\)
0.944632 0.328132i \(-0.106419\pi\)
\(374\) 0.0467194 + 2.70074i 0.00241580 + 0.139652i
\(375\) 16.3145 + 7.12558i 0.842476 + 0.367964i
\(376\) 9.81839 34.7510i 0.506345 1.79215i
\(377\) −27.8456 + 11.5340i −1.43412 + 0.594032i
\(378\) 7.38245 + 20.0551i 0.379712 + 1.03152i
\(379\) 15.5580 3.09468i 0.799162 0.158963i 0.221416 0.975180i \(-0.428932\pi\)
0.577746 + 0.816216i \(0.303932\pi\)
\(380\) −9.71840 + 25.9683i −0.498543 + 1.33214i
\(381\) −18.1492 + 11.6319i −0.929811 + 0.595921i
\(382\) 0.247889 1.36962i 0.0126831 0.0700759i
\(383\) −5.99419 10.3822i −0.306289 0.530508i 0.671259 0.741223i \(-0.265754\pi\)
−0.977547 + 0.210716i \(0.932421\pi\)
\(384\) −3.11839 + 19.3462i −0.159135 + 0.987257i
\(385\) −16.0895 + 27.8679i −0.819998 + 1.42028i
\(386\) 6.19278 + 5.24423i 0.315204 + 0.266925i
\(387\) 0.0516345 + 1.89352i 0.00262473 + 0.0962530i
\(388\) 28.2684 4.72142i 1.43511 0.239694i
\(389\) 2.82712 8.32844i 0.143341 0.422269i −0.851422 0.524482i \(-0.824259\pi\)
0.994763 + 0.102213i \(0.0325924\pi\)
\(390\) 11.3246 + 27.4795i 0.573442 + 1.39148i
\(391\) −2.73551 2.09903i −0.138341 0.106152i
\(392\) 2.95439 2.87534i 0.149219 0.145227i
\(393\) 27.0731 3.03961i 1.36566 0.153328i
\(394\) 3.35076 2.01263i 0.168809 0.101395i
\(395\) −13.5673 9.06536i −0.682644 0.456128i
\(396\) 18.2729 + 20.9879i 0.918246 + 1.05468i
\(397\) 2.72211 13.6849i 0.136619 0.686828i −0.850389 0.526154i \(-0.823633\pi\)
0.987008 0.160673i \(-0.0513666\pi\)
\(398\) −11.6461 + 10.5753i −0.583766 + 0.530090i
\(399\) −7.03470 28.4131i −0.352175 1.42243i
\(400\) 2.62338 + 0.879594i 0.131169 + 0.0439797i
\(401\) −8.87578 2.37826i −0.443235 0.118765i 0.0302971 0.999541i \(-0.490355\pi\)
−0.473532 + 0.880776i \(0.657021\pi\)
\(402\) 10.3985 + 21.1820i 0.518631 + 1.05646i
\(403\) 8.38464 + 7.35313i 0.417669 + 0.366286i
\(404\) 21.0577 7.97054i 1.04766 0.396549i
\(405\) 3.03501 21.2560i 0.150811 1.05622i
\(406\) −6.71439 23.4297i −0.333230 1.16280i
\(407\) 29.5369 22.6645i 1.46409 1.12344i
\(408\) −1.37903 + 1.47259i −0.0682722 + 0.0729041i
\(409\) −1.75855 1.34938i −0.0869546 0.0667226i 0.564369 0.825522i \(-0.309119\pi\)
−0.651324 + 0.758800i \(0.725786\pi\)
\(410\) −27.1591 10.7032i −1.34129 0.528592i
\(411\) 12.9566 + 4.67589i 0.639100 + 0.230645i
\(412\) −0.229553 6.63299i −0.0113093 0.326784i
\(413\) 10.9797 + 16.4323i 0.540275 + 0.808579i
\(414\) −35.4872 + 1.58233i −1.74410 + 0.0777673i
\(415\) 26.6167 1.30656
\(416\) −13.2648 25.5301i −0.650360 1.25172i
\(417\) 4.35747 + 7.89159i 0.213386 + 0.386453i
\(418\) −21.7206 31.3206i −1.06239 1.53194i
\(419\) −10.1989 5.02957i −0.498251 0.245710i 0.175758 0.984433i \(-0.443762\pi\)
−0.674009 + 0.738723i \(0.735429\pi\)
\(420\) −23.1164 + 6.57967i −1.12796 + 0.321055i
\(421\) 8.42748 24.8265i 0.410730 1.20997i −0.523105 0.852268i \(-0.675227\pi\)
0.933835 0.357703i \(-0.116440\pi\)
\(422\) 5.37767 4.27622i 0.261781 0.208163i
\(423\) 6.44555 37.7557i 0.313393 1.83574i
\(424\) −11.4839 24.1056i −0.557707 1.17067i
\(425\) 0.173415 + 0.225999i 0.00841187 + 0.0109626i
\(426\) 3.21269 11.9043i 0.155655 0.576766i
\(427\) 1.63479 24.9421i 0.0791131 1.20703i
\(428\) −0.0976260 0.972575i −0.00471893 0.0470112i
\(429\) −39.9120 8.73434i −1.92697 0.421698i
\(430\) −2.12786 0.102542i −0.102615 0.00494501i
\(431\) −11.7011 11.7011i −0.563620 0.563620i 0.366713 0.930334i \(-0.380483\pi\)
−0.930334 + 0.366713i \(0.880483\pi\)
\(432\) −1.11234 + 20.7548i −0.0535176 + 0.998567i
\(433\) 4.81140 4.81140i 0.231221 0.231221i −0.581981 0.813202i \(-0.697722\pi\)
0.813202 + 0.581981i \(0.197722\pi\)
\(434\) −6.67645 + 6.06255i −0.320480 + 0.291012i
\(435\) −5.23502 + 23.9217i −0.251000 + 1.14696i
\(436\) 24.1666 12.9754i 1.15737 0.621411i
\(437\) 48.5501 + 3.18214i 2.32246 + 0.152222i
\(438\) 11.9240 6.85578i 0.569750 0.327582i
\(439\) −0.492635 + 0.378012i −0.0235122 + 0.0180415i −0.620451 0.784245i \(-0.713050\pi\)
0.596938 + 0.802287i \(0.296384\pi\)
\(440\) −25.0852 + 18.7137i −1.19589 + 0.892140i
\(441\) 2.79243 3.36494i 0.132973 0.160235i
\(442\) 0.335774 2.94296i 0.0159711 0.139982i
\(443\) −23.8312 8.08959i −1.13225 0.384348i −0.308459 0.951238i \(-0.599813\pi\)
−0.823794 + 0.566890i \(0.808146\pi\)
\(444\) 27.6225 + 3.20184i 1.31090 + 0.151953i
\(445\) −8.52996 + 17.2970i −0.404359 + 0.819959i
\(446\) −4.77014 + 26.3557i −0.225872 + 1.24798i
\(447\) 2.96706 1.63831i 0.140337 0.0774895i
\(448\) 21.7280 8.31724i 1.02655 0.392953i
\(449\) 18.9006i 0.891974i 0.895039 + 0.445987i \(0.147147\pi\)
−0.895039 + 0.445987i \(0.852853\pi\)
\(450\) 2.86577 + 0.632543i 0.135094 + 0.0298184i
\(451\) 33.3659 22.2944i 1.57114 1.04980i
\(452\) −1.29037 2.83381i −0.0606940 0.133291i
\(453\) 5.02723 13.9301i 0.236200 0.654493i
\(454\) −3.14883 7.24492i −0.147782 0.340021i
\(455\) 21.4815 27.9952i 1.00707 1.31244i
\(456\) 4.63531 28.0883i 0.217068 1.31535i
\(457\) 2.52358 + 3.28879i 0.118048 + 0.153843i 0.848639 0.528972i \(-0.177422\pi\)
−0.730592 + 0.682815i \(0.760756\pi\)
\(458\) −12.5535 6.96106i −0.586584 0.325269i
\(459\) −1.28876 + 1.70825i −0.0601541 + 0.0797345i
\(460\) 1.23250 39.9311i 0.0574656 1.86180i
\(461\) −2.22218 + 2.53392i −0.103497 + 0.118016i −0.801269 0.598304i \(-0.795842\pi\)
0.697772 + 0.716320i \(0.254175\pi\)
\(462\) 10.6762 31.2665i 0.496703 1.45465i
\(463\) 1.81809 6.78522i 0.0844940 0.315336i −0.910724 0.413016i \(-0.864475\pi\)
0.995218 + 0.0976799i \(0.0311421\pi\)
\(464\) 3.00616 23.5129i 0.139558 1.09156i
\(465\) 8.79529 2.17759i 0.407872 0.100983i
\(466\) −0.443253 + 9.19800i −0.0205333 + 0.426089i
\(467\) 30.9381 + 6.15398i 1.43165 + 0.284772i 0.849189 0.528089i \(-0.177091\pi\)
0.582457 + 0.812861i \(0.302091\pi\)
\(468\) −16.8624 25.4337i −0.779463 1.17567i
\(469\) 15.5646 23.2940i 0.718706 1.07562i
\(470\) 41.7949 + 10.4276i 1.92786 + 0.480989i
\(471\) −1.54048 13.7207i −0.0709815 0.632216i
\(472\) 3.49387 + 18.9007i 0.160818 + 0.869974i
\(473\) 1.78273 2.32330i 0.0819700 0.106825i
\(474\) 15.4665 + 6.43900i 0.710398 + 0.295753i
\(475\) −3.80634 1.29208i −0.174647 0.0592846i
\(476\) 2.33373 + 0.539552i 0.106966 + 0.0247303i
\(477\) −14.8238 24.1316i −0.678735 1.10491i
\(478\) −2.17887 26.2716i −0.0996591 1.20164i
\(479\) 8.87603 + 5.12458i 0.405556 + 0.234148i 0.688879 0.724877i \(-0.258103\pi\)
−0.283322 + 0.959025i \(0.591437\pi\)
\(480\) −23.1812 3.00610i −1.05807 0.137209i
\(481\) −35.3568 + 20.4133i −1.61213 + 0.930766i
\(482\) −9.52078 13.7287i −0.433659 0.625326i
\(483\) 22.7571 + 35.5078i 1.03548 + 1.61566i
\(484\) −0.727077 21.0090i −0.0330489 0.954956i
\(485\) 6.66965 + 33.5306i 0.302853 + 1.52255i
\(486\) 1.16187 + 22.0148i 0.0527034 + 0.998610i
\(487\) 4.15186 + 10.0235i 0.188139 + 0.454208i 0.989601 0.143838i \(-0.0459443\pi\)
−0.801462 + 0.598045i \(0.795944\pi\)
\(488\) 11.0467 21.6553i 0.500060 0.980287i
\(489\) −1.51950 + 3.47899i −0.0687141 + 0.157325i
\(490\) 3.53699 + 3.41670i 0.159785 + 0.154351i
\(491\) −28.4232 1.86295i −1.28272 0.0840738i −0.591255 0.806485i \(-0.701367\pi\)
−0.691464 + 0.722411i \(0.743034\pi\)
\(492\) 29.4834 + 5.39095i 1.32921 + 0.243043i
\(493\) 1.60911 1.83484i 0.0724707 0.0826370i
\(494\) 19.1318 + 37.1610i 0.860781 + 1.67195i
\(495\) −24.3514 + 22.5591i −1.09451 + 1.01396i
\(496\) −8.29488 + 2.85036i −0.372451 + 0.127985i
\(497\) −14.1404 + 3.78891i −0.634283 + 0.169956i
\(498\) −26.8124 + 5.28326i −1.20149 + 0.236748i
\(499\) −9.06022 26.6906i −0.405591 1.19483i −0.937486 0.348023i \(-0.886853\pi\)
0.531895 0.846810i \(-0.321480\pi\)
\(500\) 5.93054 19.6827i 0.265222 0.880239i
\(501\) −0.596482 + 7.03850i −0.0266489 + 0.314457i
\(502\) 14.0307 + 23.3592i 0.626219 + 1.04257i
\(503\) −2.33867 + 5.64605i −0.104276 + 0.251745i −0.967403 0.253243i \(-0.918503\pi\)
0.863127 + 0.504987i \(0.168503\pi\)
\(504\) 21.9803 11.2165i 0.979081 0.499624i
\(505\) 10.2782 + 24.8138i 0.457375 + 1.10420i
\(506\) 44.1406 + 32.6730i 1.96229 + 1.45249i
\(507\) 20.9629 + 7.56530i 0.930995 + 0.335987i
\(508\) 15.8270 + 19.2119i 0.702210 + 0.852392i
\(509\) −19.1791 9.45811i −0.850101 0.419223i −0.0355863 0.999367i \(-0.511330\pi\)
−0.814514 + 0.580143i \(0.802997\pi\)
\(510\) −1.80652 1.59003i −0.0799940 0.0704075i
\(511\) −14.1423 8.16504i −0.625617 0.361200i
\(512\) 22.6087 + 0.920152i 0.999173 + 0.0406654i
\(513\) 1.72867 30.1456i 0.0763226 1.33096i
\(514\) −25.9187 + 30.6067i −1.14322 + 1.35000i
\(515\) 7.90007 0.517798i 0.348118 0.0228169i
\(516\) 2.16386 0.319072i 0.0952588 0.0140464i
\(517\) −44.5198 + 39.0428i −1.95798 + 1.71710i
\(518\) −13.1599 30.2785i −0.578211 1.33036i
\(519\) 1.11081 7.35013i 0.0487594 0.322635i
\(520\) 29.9514 16.7552i 1.31346 0.734762i
\(521\) 6.97296 + 2.88830i 0.305491 + 0.126539i 0.530163 0.847896i \(-0.322131\pi\)
−0.224671 + 0.974435i \(0.572131\pi\)
\(522\) 0.525198 25.1368i 0.0229873 1.10021i
\(523\) −17.8240 + 26.6754i −0.779387 + 1.16643i 0.202927 + 0.979194i \(0.434955\pi\)
−0.982314 + 0.187241i \(0.940045\pi\)
\(524\) −7.20056 30.6226i −0.314558 1.33775i
\(525\) −1.05680 3.32019i −0.0461226 0.144905i
\(526\) −14.6634 + 3.18134i −0.639356 + 0.138713i
\(527\) −0.872238 0.233716i −0.0379953 0.0101808i
\(528\) 21.5551 23.8306i 0.938066 1.03709i
\(529\) −45.4974 + 12.1910i −1.97815 + 0.530043i
\(530\) 28.3184 14.5793i 1.23007 0.633286i
\(531\) 5.81133 + 19.5410i 0.252190 + 0.848008i
\(532\) −31.6106 + 11.9649i −1.37049 + 0.518744i
\(533\) −39.4667 + 19.4628i −1.70949 + 0.843029i
\(534\) 5.15932 19.1174i 0.223266 0.827290i
\(535\) 1.15601 0.152191i 0.0499786 0.00657980i
\(536\) 22.8583 14.8291i 0.987329 0.640521i
\(537\) 2.42979 0.952518i 0.104853 0.0411042i
\(538\) 4.18257 0.624421i 0.180323 0.0269207i
\(539\) −6.63026 + 1.31884i −0.285585 + 0.0568065i
\(540\) −24.7869 0.562446i −1.06666 0.0242038i
\(541\) 2.73360 1.82653i 0.117527 0.0785287i −0.495418 0.868655i \(-0.664985\pi\)
0.612944 + 0.790126i \(0.289985\pi\)
\(542\) 9.85243 + 4.64859i 0.423198 + 0.199674i
\(543\) −0.00408594 + 0.213967i −0.000175344 + 0.00918221i
\(544\) 1.87761 + 1.37898i 0.0805019 + 0.0591232i
\(545\) 16.3600 + 28.3363i 0.700784 + 1.21379i
\(546\) −16.0826 + 32.4651i −0.688271 + 1.38938i
\(547\) 31.9455 2.09382i 1.36589 0.0895253i 0.635261 0.772298i \(-0.280893\pi\)
0.730631 + 0.682772i \(0.239226\pi\)
\(548\) 3.58278 15.4966i 0.153049 0.661983i
\(549\) 9.21436 24.0821i 0.393259 1.02780i
\(550\) −2.82386 3.55121i −0.120410 0.151424i
\(551\) −4.49490 + 34.1421i −0.191489 + 1.45450i
\(552\) 6.68453 + 40.4694i 0.284513 + 1.72249i
\(553\) −2.59624 19.7204i −0.110403 0.838596i
\(554\) 17.5701 + 16.9725i 0.746480 + 0.721093i
\(555\) −2.80102 + 33.0521i −0.118897 + 1.40298i
\(556\) 8.44980 6.07898i 0.358351 0.257806i
\(557\) −0.907617 + 4.56290i −0.0384570 + 0.193336i −0.995238 0.0974723i \(-0.968924\pi\)
0.956781 + 0.290809i \(0.0939243\pi\)
\(558\) −8.42773 + 3.93942i −0.356774 + 0.166769i
\(559\) −2.27074 + 2.27074i −0.0960422 + 0.0960422i
\(560\) 10.7163 + 25.6002i 0.452845 + 1.08181i
\(561\) 3.21126 0.795063i 0.135579 0.0335676i
\(562\) 32.0005 6.94275i 1.34986 0.292862i
\(563\) 11.7351 3.98352i 0.494575 0.167886i −0.0629979 0.998014i \(-0.520066\pi\)
0.557573 + 0.830128i \(0.311733\pi\)
\(564\) −44.1721 2.20822i −1.85998 0.0929827i
\(565\) 3.33126 1.64280i 0.140147 0.0691130i
\(566\) −14.3474 + 25.8739i −0.603067 + 1.08756i
\(567\) 21.9202 14.3027i 0.920562 0.600657i
\(568\) −14.0894 2.04961i −0.591178 0.0859998i
\(569\) 4.47221 33.9698i 0.187485 1.42409i −0.596154 0.802870i \(-0.703305\pi\)
0.783638 0.621217i \(-0.213362\pi\)
\(570\) 33.6602 + 4.49300i 1.40987 + 0.188191i
\(571\) 21.5131 + 24.5310i 0.900295 + 1.02659i 0.999503 + 0.0315229i \(0.0100357\pi\)
−0.0992081 + 0.995067i \(0.531631\pi\)
\(572\) −4.53640 + 46.9585i −0.189677 + 1.96343i
\(573\) −1.70286 + 0.0789943i −0.0711379 + 0.00330004i
\(574\) −12.0195 33.4935i −0.501684 1.39799i
\(575\) 5.79164 0.241528
\(576\) 23.9484 1.57314i 0.997849 0.0655474i
\(577\) −46.1278 −1.92032 −0.960162 0.279442i \(-0.909850\pi\)
−0.960162 + 0.279442i \(0.909850\pi\)
\(578\) −8.03952 22.4029i −0.334400 0.931839i
\(579\) 4.56518 8.82824i 0.189723 0.366889i
\(580\) 28.1451 + 2.71894i 1.16866 + 0.112898i
\(581\) 21.3928 + 24.3938i 0.887523 + 1.01203i
\(582\) −13.3743 32.4533i −0.554384 1.34523i
\(583\) −5.71496 + 43.4094i −0.236689 + 1.79783i
\(584\) −9.49674 12.7301i −0.392978 0.526777i
\(585\) 29.7040 21.0410i 1.22811 0.869937i
\(586\) −6.33217 + 11.4193i −0.261580 + 0.471728i
\(587\) 25.8912 12.7681i 1.06864 0.526997i 0.179093 0.983832i \(-0.442684\pi\)
0.889551 + 0.456835i \(0.151017\pi\)
\(588\) −4.24119 2.73975i −0.174904 0.112986i
\(589\) 12.0659 4.09581i 0.497166 0.168765i
\(590\) −22.4067 + 4.86130i −0.922468 + 0.200137i
\(591\) −3.31982 3.44908i −0.136559 0.141876i
\(592\) −0.120028 32.1090i −0.00493313 1.31967i
\(593\) −4.07635 + 4.07635i −0.167395 + 0.167395i −0.785834 0.618438i \(-0.787766\pi\)
0.618438 + 0.785834i \(0.287766\pi\)
\(594\) 20.0526 27.5586i 0.822768 1.13074i
\(595\) −0.557424 + 2.80236i −0.0228521 + 0.114885i
\(596\) −2.28556 3.17693i −0.0936201 0.130132i
\(597\) 15.8123 + 11.0079i 0.647154 + 0.450521i
\(598\) −43.3134 41.8404i −1.77122 1.71098i
\(599\) −4.35238 33.0596i −0.177834 1.35078i −0.814734 0.579835i \(-0.803117\pi\)
0.636901 0.770946i \(-0.280216\pi\)
\(600\) 0.331913 3.37247i 0.0135503 0.137680i
\(601\) −5.15988 + 39.1932i −0.210476 + 1.59872i 0.481264 + 0.876576i \(0.340178\pi\)
−0.691740 + 0.722147i \(0.743156\pi\)
\(602\) −1.61626 2.03257i −0.0658739 0.0828415i
\(603\) 22.4398 18.2116i 0.913819 0.741635i
\(604\) −16.6610 3.85199i −0.677928 0.156735i
\(605\) 25.0223 1.64005i 1.01730 0.0666775i
\(606\) −15.2792 22.9561i −0.620675 0.932529i
\(607\) 10.7975 + 18.7018i 0.438257 + 0.759084i 0.997555 0.0698829i \(-0.0222626\pi\)
−0.559298 + 0.828967i \(0.688929\pi\)
\(608\) −32.8398 1.45953i −1.33183 0.0591918i
\(609\) −26.1315 + 14.4289i −1.05890 + 0.584690i
\(610\) 26.2261 + 12.3740i 1.06186 + 0.501010i
\(611\) 53.9906 36.0754i 2.18423 1.45945i
\(612\) 2.13541 + 1.24313i 0.0863190 + 0.0502507i
\(613\) 15.0591 2.99544i 0.608231 0.120985i 0.118640 0.992937i \(-0.462146\pi\)
0.489590 + 0.871953i \(0.337146\pi\)
\(614\) −5.77222 + 0.861741i −0.232948 + 0.0347770i
\(615\) −5.34260 + 35.3514i −0.215435 + 1.42551i
\(616\) −37.3127 7.94936i −1.50337 0.320289i
\(617\) −8.55030 + 1.12567i −0.344222 + 0.0453177i −0.300655 0.953733i \(-0.597205\pi\)
−0.0435666 + 0.999051i \(0.513872\pi\)
\(618\) −7.85538 + 2.08972i −0.315990 + 0.0840610i
\(619\) −18.6006 + 9.17281i −0.747622 + 0.368686i −0.775852 0.630915i \(-0.782680\pi\)
0.0282299 + 0.999601i \(0.491013\pi\)
\(620\) −3.70374 9.78508i −0.148746 0.392978i
\(621\) 11.6030 + 41.9301i 0.465614 + 1.68260i
\(622\) 40.4757 20.8384i 1.62293 0.835543i
\(623\) −22.7083 + 6.08468i −0.909791 + 0.243778i
\(624\) −26.8459 + 22.8235i −1.07469 + 0.913673i
\(625\) 27.0268 + 7.24180i 1.08107 + 0.289672i
\(626\) 17.9824 3.90141i 0.718719 0.155932i
\(627\) −31.4436 + 34.5028i −1.25574 + 1.37791i
\(628\) −15.5196 + 3.64925i −0.619298 + 0.145621i
\(629\) 1.83660 2.74866i 0.0732299 0.109596i
\(630\) 14.1824 + 25.7943i 0.565038 + 1.02767i
\(631\) −25.9712 10.7576i −1.03390 0.428254i −0.199779 0.979841i \(-0.564022\pi\)
−0.834117 + 0.551587i \(0.814022\pi\)
\(632\) 5.25975 18.6162i 0.209222 0.740515i
\(633\) −6.57686 5.24911i −0.261407 0.208633i
\(634\) 7.10185 + 16.3401i 0.282050 + 0.648949i
\(635\) −22.3239 + 19.5776i −0.885898 + 0.776911i
\(636\) −25.6328 + 20.3076i −1.01640 + 0.805249i
\(637\) 7.39725 0.484841i 0.293090 0.0192101i
\(638\) −25.1193 + 29.6627i −0.994482 + 1.17436i
\(639\) −15.0904 0.576544i −0.596965 0.0228077i
\(640\) −0.265072 + 26.9902i −0.0104779 + 1.06688i
\(641\) 2.38780 + 1.37860i 0.0943124 + 0.0544513i 0.546414 0.837515i \(-0.315992\pi\)
−0.452102 + 0.891966i \(0.649326\pi\)
\(642\) −1.13430 + 0.382771i −0.0447672 + 0.0151068i
\(643\) −10.4730 5.16469i −0.413013 0.203675i 0.223898 0.974612i \(-0.428122\pi\)
−0.636911 + 0.770937i \(0.719788\pi\)
\(644\) 37.5869 30.9646i 1.48113 1.22017i
\(645\) 0.460062 + 2.56823i 0.0181149 + 0.101124i
\(646\) −2.72021 2.01351i −0.107025 0.0792204i
\(647\) 0.924974 + 2.23308i 0.0363645 + 0.0877916i 0.941018 0.338355i \(-0.109871\pi\)
−0.904654 + 0.426147i \(0.859871\pi\)
\(648\) 25.0808 4.35347i 0.985267 0.171021i
\(649\) 12.0614 29.1187i 0.473450 1.14301i
\(650\) 2.56182 + 4.26510i 0.100483 + 0.167291i
\(651\) 9.06483 + 6.31055i 0.355279 + 0.247330i
\(652\) 4.19725 + 1.26466i 0.164377 + 0.0495279i
\(653\) 6.41204 + 18.8893i 0.250923 + 0.739194i 0.997284 + 0.0736531i \(0.0234658\pi\)
−0.746361 + 0.665541i \(0.768201\pi\)
\(654\) −22.1049 25.2973i −0.864369 0.989203i
\(655\) 36.2463 9.71217i 1.41626 0.379486i
\(656\) 2.13442 34.5430i 0.0833350 1.34868i
\(657\) −11.4482 12.3577i −0.446637 0.482121i
\(658\) 24.0354 + 46.6855i 0.936997 + 1.81999i
\(659\) −16.7846 + 19.1391i −0.653833 + 0.745554i −0.979834 0.199816i \(-0.935966\pi\)
0.326000 + 0.945370i \(0.394299\pi\)
\(660\) 29.2064 + 24.8231i 1.13686 + 0.966240i
\(661\) 23.7254 + 1.55504i 0.922810 + 0.0604842i 0.519396 0.854533i \(-0.326157\pi\)
0.403414 + 0.915018i \(0.367823\pi\)
\(662\) 23.9807 + 23.1651i 0.932035 + 0.900337i
\(663\) −3.60511 + 0.404760i −0.140011 + 0.0157196i
\(664\) 9.73716 + 30.0158i 0.377875 + 1.16484i
\(665\) −15.4290 37.2490i −0.598312 1.44445i
\(666\) −3.73903 33.8511i −0.144884 1.31170i
\(667\) −9.67988 48.6640i −0.374806 1.88428i
\(668\) 8.15162 0.282109i 0.315395 0.0109151i
\(669\) 32.7682 1.52009i 1.26689 0.0587702i
\(670\) 18.5220 + 26.7082i 0.715567 + 1.03183i
\(671\) −34.5223 + 19.9315i −1.33272 + 0.769446i
\(672\) −15.8766 23.6614i −0.612452 0.912758i
\(673\) −10.0080 5.77814i −0.385781 0.222731i 0.294549 0.955636i \(-0.404830\pi\)
−0.680331 + 0.732905i \(0.738164\pi\)
\(674\) −1.96893 23.7402i −0.0758402 0.914440i
\(675\) −0.0293599 3.59420i −0.00113006 0.138341i
\(676\) 5.79672 25.0726i 0.222951 0.964330i
\(677\) −10.5747 3.58964i −0.406420 0.137961i 0.110741 0.993849i \(-0.464678\pi\)
−0.517161 + 0.855888i \(0.673011\pi\)
\(678\) −3.02967 + 2.31611i −0.116354 + 0.0889498i
\(679\) −25.3697 + 33.0624i −0.973600 + 1.26882i
\(680\) −1.57506 + 2.28942i −0.0604007 + 0.0877953i
\(681\) −7.78676 + 5.74215i −0.298389 + 0.220040i
\(682\) 13.9546 + 3.48159i 0.534349 + 0.133317i
\(683\) 19.3997 29.0338i 0.742311 1.11095i −0.247546 0.968876i \(-0.579624\pi\)
0.989857 0.142070i \(-0.0453759\pi\)
\(684\) −34.7996 + 2.15532i −1.33060 + 0.0824108i
\(685\) 18.6085 + 3.70146i 0.710993 + 0.141425i
\(686\) 1.09722 22.7685i 0.0418919 0.869306i
\(687\) −4.87351 + 16.8913i −0.185936 + 0.644445i
\(688\) −0.662796 2.43711i −0.0252689 0.0929140i
\(689\) 12.4267 46.3771i 0.473420 1.76683i
\(690\) −48.0057 + 9.45928i −1.82754 + 0.360109i
\(691\) −28.8800 + 32.9313i −1.09865 + 1.25277i −0.133503 + 0.991048i \(0.542622\pi\)
−0.965144 + 0.261718i \(0.915711\pi\)
\(692\) −8.57949 0.264812i −0.326143 0.0100666i
\(693\) −40.2472 4.18611i −1.52887 0.159017i
\(694\) 1.59505 + 0.884475i 0.0605472 + 0.0335742i
\(695\) 7.55892 + 9.85098i 0.286726 + 0.373669i
\(696\) −28.8918 + 2.84770i −1.09514 + 0.107942i
\(697\) 2.16910 2.82683i 0.0821605 0.107074i
\(698\) −10.0887 23.2124i −0.381864 0.878603i
\(699\) 11.1016 1.98869i 0.419900 0.0752191i
\(700\) −3.66161 + 1.66731i −0.138396 + 0.0630185i
\(701\) −29.1875 + 19.5025i −1.10240 + 0.736598i −0.967148 0.254214i \(-0.918183\pi\)
−0.135249 + 0.990812i \(0.543183\pi\)
\(702\) −25.7459 + 27.0918i −0.971718 + 1.02251i
\(703\) 46.6471i 1.75933i
\(704\) −30.2804 21.4427i −1.14124 0.808152i
\(705\) 1.00727 52.7476i 0.0379361 1.98659i
\(706\) 2.71541 15.0030i 0.102196 0.564645i
\(707\) −14.4805 + 29.3636i −0.544597 + 1.10433i
\(708\) 21.6065 9.34464i 0.812022 0.351193i
\(709\) −9.83192 3.33749i −0.369246 0.125342i 0.130648 0.991429i \(-0.458294\pi\)
−0.499894 + 0.866087i \(0.666628\pi\)
\(710\) 1.92525 16.8742i 0.0722532 0.633278i
\(711\) 3.45291 20.2259i 0.129494 0.758529i
\(712\) −22.6265 3.29151i −0.847963 0.123355i
\(713\) −14.5653 + 11.1763i −0.545475 + 0.418558i
\(714\) 0.00527108 2.93361i 0.000197265 0.109788i
\(715\) −56.1555 3.68063i −2.10010 0.137648i
\(716\) −1.42555 2.65506i −0.0532752 0.0992244i
\(717\) −30.7656 + 9.79254i −1.14896 + 0.365709i
\(718\) 15.9690 14.5007i 0.595957 0.541160i
\(719\) 20.0508 20.0508i 0.747768 0.747768i −0.226292 0.974060i \(-0.572660\pi\)
0.974060 + 0.226292i \(0.0726602\pi\)
\(720\) 2.75698 + 28.4958i 0.102746 + 1.06197i
\(721\) 6.82413 + 6.82413i 0.254144 + 0.254144i
\(722\) 20.8613 + 1.00531i 0.776376 + 0.0374136i
\(723\) −13.7827 + 15.1236i −0.512582 + 0.562452i
\(724\) 0.245877 0.0246809i 0.00913796 0.000917259i
\(725\) −0.268103 + 4.09046i −0.00995709 + 0.151916i
\(726\) −24.8808 + 6.61889i −0.923412 + 0.245650i
\(727\) 7.63093 + 9.94482i 0.283015 + 0.368833i 0.913129 0.407670i \(-0.133659\pi\)
−0.630114 + 0.776503i \(0.716992\pi\)
\(728\) 39.4289 + 13.9833i 1.46133 + 0.518256i
\(729\) 25.9624 7.41323i 0.961569 0.274564i
\(730\) 14.8286 11.7914i 0.548832 0.436421i
\(731\) 0.0835823 0.246225i 0.00309140 0.00910697i
\(732\) −28.8751 7.25930i −1.06725 0.268312i
\(733\) −12.6681 6.24720i −0.467906 0.230746i 0.193023 0.981194i \(-0.438171\pi\)
−0.660929 + 0.750449i \(0.729838\pi\)
\(734\) −16.9897 24.4987i −0.627099 0.904262i
\(735\) 3.11053 5.15760i 0.114733 0.190241i
\(736\) 45.4814 13.2181i 1.67647 0.487224i
\(737\) −44.6791 −1.64578
\(738\) −1.63515 36.6718i −0.0601908 1.34991i
\(739\) −27.9709 41.8614i −1.02893 1.53990i −0.828343 0.560221i \(-0.810716\pi\)
−0.200583 0.979677i \(-0.564284\pi\)
\(740\) 38.2791 1.32476i 1.40717 0.0486990i
\(741\) 39.1243 33.0111i 1.43727 1.21269i
\(742\) 36.1223 + 14.2355i 1.32609 + 0.522601i
\(743\) −6.26904 4.81040i −0.229989 0.176477i 0.487338 0.873213i \(-0.337968\pi\)
−0.717327 + 0.696737i \(0.754635\pi\)
\(744\) 5.67325 + 9.12187i 0.207992 + 0.334424i
\(745\) 3.70374 2.84198i 0.135695 0.104122i
\(746\) 5.85714 + 20.4383i 0.214445 + 0.748301i
\(747\) 13.6465 + 30.5614i 0.499299 + 1.11818i
\(748\) −1.35227 3.57264i −0.0494441 0.130629i
\(749\) 1.06861 + 0.937143i 0.0390460 + 0.0342425i
\(750\) −25.1199 1.69178i −0.917250 0.0617751i
\(751\) −25.6026 6.86021i −0.934254 0.250333i −0.240586 0.970628i \(-0.577340\pi\)
−0.693668 + 0.720295i \(0.744006\pi\)
\(752\) 3.53056 + 50.9470i 0.128746 + 1.85785i
\(753\) 24.0446 23.1435i 0.876236 0.843397i
\(754\) 31.5556 28.6541i 1.14919 1.04352i
\(755\) 3.97958 20.0067i 0.144832 0.728118i
\(756\) −19.4067 23.1689i −0.705814 0.842645i
\(757\) −36.0676 24.0996i −1.31090 0.875916i −0.313616 0.949550i \(-0.601540\pi\)
−0.997285 + 0.0736341i \(0.976540\pi\)
\(758\) −19.2310 + 11.5511i −0.698501 + 0.419553i
\(759\) 26.9209 61.6372i 0.977167 2.23729i
\(760\) 0.531657 39.2086i 0.0192852 1.42225i
\(761\) −17.0172 13.0577i −0.616872 0.473343i 0.252436 0.967614i \(-0.418768\pi\)
−0.869308 + 0.494271i \(0.835435\pi\)
\(762\) 18.6021 24.1527i 0.673881 0.874960i
\(763\) −12.8207 + 37.7686i −0.464141 + 1.36732i
\(764\) 0.324274 + 1.94151i 0.0117318 + 0.0702414i
\(765\) −1.40360 + 2.59180i −0.0507474 + 0.0937067i
\(766\) 12.9382 + 10.9565i 0.467477 + 0.395874i
\(767\) −17.2811 + 29.9317i −0.623984 + 1.08077i
\(768\) −5.09038 27.2413i −0.183683 0.982986i
\(769\) −5.45975 9.45656i −0.196884 0.341012i 0.750633 0.660720i \(-0.229749\pi\)
−0.947516 + 0.319707i \(0.896415\pi\)
\(770\) 8.10486 44.7805i 0.292079 1.61378i
\(771\) 43.6320 +