Properties

Label 576.2.bl.a.11.15
Level $576$
Weight $2$
Character 576.11
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 11.15
Character \(\chi\) \(=\) 576.11
Dual form 576.2.bl.a.419.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.24238 - 0.675648i) q^{2} +(1.24724 - 1.20182i) q^{3} +(1.08700 + 1.67882i) q^{4} +(-0.558818 - 0.275579i) q^{5} +(-2.36156 + 0.650421i) q^{6} +(-2.33627 - 3.04469i) q^{7} +(-0.216171 - 2.82015i) q^{8} +(0.111234 - 2.99794i) q^{9} +O(q^{10})\) \(q+(-1.24238 - 0.675648i) q^{2} +(1.24724 - 1.20182i) q^{3} +(1.08700 + 1.67882i) q^{4} +(-0.558818 - 0.275579i) q^{5} +(-2.36156 + 0.650421i) q^{6} +(-2.33627 - 3.04469i) q^{7} +(-0.216171 - 2.82015i) q^{8} +(0.111234 - 2.99794i) q^{9} +(0.508068 + 0.719937i) q^{10} +(0.0326551 + 0.0286377i) q^{11} +(3.37340 + 0.787514i) q^{12} +(6.07831 + 0.398394i) q^{13} +(0.845390 + 5.36114i) q^{14} +(-1.02818 + 0.327888i) q^{15} +(-1.63687 + 3.64975i) q^{16} +(-4.66084 - 4.66084i) q^{17} +(-2.16375 + 3.64941i) q^{18} +(-3.07666 + 4.60455i) q^{19} +(-0.144788 - 1.23771i) q^{20} +(-6.57308 - 0.989679i) q^{21} +(-0.0212209 - 0.0576422i) q^{22} +(-1.73814 + 2.26518i) q^{23} +(-3.65895 - 3.25762i) q^{24} +(-2.80747 - 3.65877i) q^{25} +(-7.28238 - 4.60176i) q^{26} +(-3.46426 - 3.87284i) q^{27} +(2.57195 - 7.23175i) q^{28} +(-0.252941 + 0.745140i) q^{29} +(1.49892 + 0.287328i) q^{30} +(2.56818 + 4.44821i) q^{31} +(4.49955 - 3.42842i) q^{32} +(0.0751464 - 0.00352744i) q^{33} +(2.64143 + 8.93960i) q^{34} +(0.466500 + 2.34525i) q^{35} +(5.15391 - 3.07201i) q^{36} +(6.90598 - 4.61443i) q^{37} +(6.93343 - 3.64184i) q^{38} +(8.05994 - 6.80817i) q^{39} +(-0.656374 + 1.63552i) q^{40} +(-8.87082 - 6.80682i) q^{41} +(7.49756 + 5.67064i) q^{42} +(-2.62907 - 2.30563i) q^{43} +(-0.0125815 + 0.0859511i) q^{44} +(-0.888327 + 1.64465i) q^{45} +(3.68989 - 1.63984i) q^{46} +(-1.26944 - 4.73762i) q^{47} +(2.34479 + 6.51935i) q^{48} +(-2.00022 + 7.46494i) q^{49} +(1.01590 + 6.44243i) q^{50} +(-11.4147 - 0.211691i) q^{51} +(5.93829 + 10.6374i) q^{52} +(-6.63517 - 1.31982i) q^{53} +(1.68723 + 7.15215i) q^{54} +(-0.0103563 - 0.0250023i) q^{55} +(-8.08145 + 7.24682i) q^{56} +(1.69651 + 9.44060i) q^{57} +(0.817700 - 0.754845i) q^{58} +(1.12917 - 2.28973i) q^{59} +(-1.66809 - 1.36971i) q^{60} +(1.85483 - 5.46416i) q^{61} +(-0.185216 - 7.26154i) q^{62} +(-9.38765 + 6.66532i) q^{63} +(-7.90654 + 1.21927i) q^{64} +(-3.28688 - 1.89768i) q^{65} +(-0.0957434 - 0.0463901i) q^{66} +(-0.0976570 + 0.0856429i) q^{67} +(2.75838 - 12.8910i) q^{68} +(0.554474 + 4.91417i) q^{69} +(1.00500 - 3.22887i) q^{70} +(6.63676 + 2.74904i) q^{71} +(-8.47869 + 0.334369i) q^{72} +(7.99974 - 3.31360i) q^{73} +(-11.6976 + 1.06684i) q^{74} +(-7.89880 - 1.18929i) q^{75} +(-11.0745 - 0.160017i) q^{76} +(0.0109018 - 0.166330i) q^{77} +(-14.6134 + 3.01263i) q^{78} +(3.43615 + 12.8239i) q^{79} +(1.92050 - 1.58846i) q^{80} +(-8.97525 - 0.666948i) q^{81} +(6.42188 + 14.4502i) q^{82} +(1.34415 - 0.662864i) q^{83} +(-5.48344 - 12.1108i) q^{84} +(1.32013 + 3.88899i) q^{85} +(1.70850 + 4.64079i) q^{86} +(0.580048 + 1.23336i) q^{87} +(0.0737037 - 0.0982830i) q^{88} +(12.4489 + 5.15651i) q^{89} +(2.21484 - 1.44307i) q^{90} +(-12.9876 - 19.4373i) q^{91} +(-5.69219 - 0.455764i) q^{92} +(8.54911 + 2.46151i) q^{93} +(-1.62384 + 6.74360i) q^{94} +(2.98821 - 1.72524i) q^{95} +(1.49168 - 9.68374i) q^{96} +(-1.47892 - 0.853857i) q^{97} +(7.52871 - 7.92282i) q^{98} +(0.0894865 - 0.0947123i) 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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{5}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.24238 0.675648i −0.878493 0.477755i
\(3\) 1.24724 1.20182i 0.720097 0.693874i
\(4\) 1.08700 + 1.67882i 0.543500 + 0.839409i
\(5\) −0.558818 0.275579i −0.249911 0.123242i 0.313020 0.949747i \(-0.398659\pi\)
−0.562931 + 0.826504i \(0.690326\pi\)
\(6\) −2.36156 + 0.650421i −0.964102 + 0.265533i
\(7\) −2.33627 3.04469i −0.883027 1.15078i −0.987713 0.156278i \(-0.950050\pi\)
0.104686 0.994505i \(-0.466616\pi\)
\(8\) −0.216171 2.82015i −0.0764280 0.997075i
\(9\) 0.111234 2.99794i 0.0370782 0.999312i
\(10\) 0.508068 + 0.719937i 0.160665 + 0.227664i
\(11\) 0.0326551 + 0.0286377i 0.00984587 + 0.00863460i 0.664255 0.747506i \(-0.268749\pi\)
−0.654409 + 0.756141i \(0.727082\pi\)
\(12\) 3.37340 + 0.787514i 0.973816 + 0.227336i
\(13\) 6.07831 + 0.398394i 1.68582 + 0.110495i 0.877915 0.478817i \(-0.158934\pi\)
0.807906 + 0.589311i \(0.200601\pi\)
\(14\) 0.845390 + 5.36114i 0.225940 + 1.43283i
\(15\) −1.02818 + 0.327888i −0.265475 + 0.0846602i
\(16\) −1.63687 + 3.64975i −0.409217 + 0.912437i
\(17\) −4.66084 4.66084i −1.13042 1.13042i −0.990107 0.140312i \(-0.955190\pi\)
−0.140312 0.990107i \(-0.544810\pi\)
\(18\) −2.16375 + 3.64941i −0.510000 + 0.860175i
\(19\) −3.07666 + 4.60455i −0.705834 + 1.05636i 0.289243 + 0.957256i \(0.406596\pi\)
−0.995077 + 0.0991000i \(0.968404\pi\)
\(20\) −0.144788 1.23771i −0.0323756 0.276760i
\(21\) −6.57308 0.989679i −1.43436 0.215966i
\(22\) −0.0212209 0.0576422i −0.00452430 0.0122894i
\(23\) −1.73814 + 2.26518i −0.362427 + 0.472324i −0.938602 0.345003i \(-0.887878\pi\)
0.576175 + 0.817326i \(0.304545\pi\)
\(24\) −3.65895 3.25762i −0.746880 0.664959i
\(25\) −2.80747 3.65877i −0.561495 0.731754i
\(26\) −7.28238 4.60176i −1.42819 0.902479i
\(27\) −3.46426 3.87284i −0.666697 0.745329i
\(28\) 2.57195 7.23175i 0.486054 1.36667i
\(29\) −0.252941 + 0.745140i −0.0469699 + 0.138369i −0.967884 0.251396i \(-0.919110\pi\)
0.920914 + 0.389765i \(0.127444\pi\)
\(30\) 1.49892 + 0.287328i 0.273665 + 0.0524586i
\(31\) 2.56818 + 4.44821i 0.461258 + 0.798922i 0.999024 0.0441718i \(-0.0140649\pi\)
−0.537766 + 0.843094i \(0.680732\pi\)
\(32\) 4.49955 3.42842i 0.795416 0.606064i
\(33\) 0.0751464 0.00352744i 0.0130813 0.000614049i
\(34\) 2.64143 + 8.93960i 0.453001 + 1.53313i
\(35\) 0.466500 + 2.34525i 0.0788528 + 0.396420i
\(36\) 5.15391 3.07201i 0.858984 0.512002i
\(37\) 6.90598 4.61443i 1.13534 0.758607i 0.161728 0.986835i \(-0.448293\pi\)
0.973608 + 0.228228i \(0.0732932\pi\)
\(38\) 6.93343 3.64184i 1.12475 0.590785i
\(39\) 8.05994 6.80817i 1.29062 1.09018i
\(40\) −0.656374 + 1.63552i −0.103782 + 0.258599i
\(41\) −8.87082 6.80682i −1.38539 1.06305i −0.989466 0.144762i \(-0.953758\pi\)
−0.395922 0.918284i \(-0.629575\pi\)
\(42\) 7.49756 + 5.67064i 1.15690 + 0.874999i
\(43\) −2.62907 2.30563i −0.400929 0.351606i 0.435012 0.900425i \(-0.356744\pi\)
−0.835941 + 0.548819i \(0.815078\pi\)
\(44\) −0.0125815 + 0.0859511i −0.00189674 + 0.0129576i
\(45\) −0.888327 + 1.64465i −0.132424 + 0.245170i
\(46\) 3.68989 1.63984i 0.544044 0.241782i
\(47\) −1.26944 4.73762i −0.185167 0.691053i −0.994595 0.103833i \(-0.966889\pi\)
0.809428 0.587219i \(-0.199777\pi\)
\(48\) 2.34479 + 6.51935i 0.338441 + 0.940988i
\(49\) −2.00022 + 7.46494i −0.285746 + 1.06642i
\(50\) 1.01590 + 6.44243i 0.143670 + 0.911098i
\(51\) −11.4147 0.211691i −1.59838 0.0296427i
\(52\) 5.93829 + 10.6374i 0.823493 + 1.47515i
\(53\) −6.63517 1.31982i −0.911411 0.181291i −0.282952 0.959134i \(-0.591314\pi\)
−0.628459 + 0.777843i \(0.716314\pi\)
\(54\) 1.68723 + 7.15215i 0.229603 + 0.973284i
\(55\) −0.0103563 0.0250023i −0.00139644 0.00337131i
\(56\) −8.08145 + 7.24682i −1.07993 + 0.968396i
\(57\) 1.69651 + 9.44060i 0.224709 + 1.25044i
\(58\) 0.817700 0.754845i 0.107369 0.0991160i
\(59\) 1.12917 2.28973i 0.147006 0.298098i −0.810898 0.585187i \(-0.801021\pi\)
0.957904 + 0.287089i \(0.0926877\pi\)
\(60\) −1.66809 1.36971i −0.215350 0.176829i
\(61\) 1.85483 5.46416i 0.237487 0.699614i −0.761206 0.648510i \(-0.775392\pi\)
0.998693 0.0511045i \(-0.0162742\pi\)
\(62\) −0.185216 7.26154i −0.0235224 0.922216i
\(63\) −9.38765 + 6.66532i −1.18273 + 0.839751i
\(64\) −7.90654 + 1.21927i −0.988318 + 0.152409i
\(65\) −3.28688 1.89768i −0.407688 0.235379i
\(66\) −0.0957434 0.0463901i −0.0117852 0.00571023i
\(67\) −0.0976570 + 0.0856429i −0.0119307 + 0.0104629i −0.665290 0.746585i \(-0.731692\pi\)
0.653360 + 0.757048i \(0.273359\pi\)
\(68\) 2.75838 12.8910i 0.334502 1.56327i
\(69\) 0.554474 + 4.91417i 0.0667508 + 0.591597i
\(70\) 1.00500 3.22887i 0.120120 0.385924i
\(71\) 6.63676 + 2.74904i 0.787639 + 0.326251i 0.739994 0.672614i \(-0.234828\pi\)
0.0476448 + 0.998864i \(0.484828\pi\)
\(72\) −8.47869 + 0.334369i −0.999223 + 0.0394057i
\(73\) 7.99974 3.31360i 0.936299 0.387828i 0.138234 0.990400i \(-0.455857\pi\)
0.798065 + 0.602572i \(0.205857\pi\)
\(74\) −11.6976 + 1.06684i −1.35981 + 0.124018i
\(75\) −7.89880 1.18929i −0.912075 0.137327i
\(76\) −11.0745 0.160017i −1.27034 0.0183552i
\(77\) 0.0109018 0.166330i 0.00124238 0.0189551i
\(78\) −14.6134 + 3.01263i −1.65464 + 0.341113i
\(79\) 3.43615 + 12.8239i 0.386597 + 1.44280i 0.835635 + 0.549286i \(0.185100\pi\)
−0.449038 + 0.893513i \(0.648233\pi\)
\(80\) 1.92050 1.58846i 0.214719 0.177595i
\(81\) −8.97525 0.666948i −0.997250 0.0741053i
\(82\) 6.42188 + 14.4502i 0.709178 + 1.59576i
\(83\) 1.34415 0.662864i 0.147540 0.0727587i −0.367020 0.930213i \(-0.619622\pi\)
0.514560 + 0.857454i \(0.327955\pi\)
\(84\) −5.48344 12.1108i −0.598292 1.32140i
\(85\) 1.32013 + 3.88899i 0.143189 + 0.421820i
\(86\) 1.70850 + 4.64079i 0.184232 + 0.500429i
\(87\) 0.580048 + 1.23336i 0.0621877 + 0.132230i
\(88\) 0.0737037 0.0982830i 0.00785684 0.0104770i
\(89\) 12.4489 + 5.15651i 1.31958 + 0.546589i 0.927666 0.373411i \(-0.121812\pi\)
0.391918 + 0.920000i \(0.371812\pi\)
\(90\) 2.21484 1.44307i 0.233465 0.152113i
\(91\) −12.9876 19.4373i −1.36147 2.03758i
\(92\) −5.69219 0.455764i −0.593452 0.0475167i
\(93\) 8.54911 + 2.46151i 0.886502 + 0.255246i
\(94\) −1.62384 + 6.74360i −0.167486 + 0.695549i
\(95\) 2.98821 1.72524i 0.306584 0.177006i
\(96\) 1.49168 9.68374i 0.152244 0.988343i
\(97\) −1.47892 0.853857i −0.150162 0.0866961i 0.423036 0.906113i \(-0.360964\pi\)
−0.573198 + 0.819417i \(0.694298\pi\)
\(98\) 7.52871 7.92282i 0.760514 0.800326i
\(99\) 0.0894865 0.0947123i 0.00899373 0.00951895i
\(100\) 3.09069 8.69032i 0.309069 0.869032i
\(101\) 17.8413 1.16938i 1.77528 0.116358i 0.857759 0.514052i \(-0.171856\pi\)
0.917518 + 0.397694i \(0.130189\pi\)
\(102\) 14.0383 + 7.97533i 1.39000 + 0.789675i
\(103\) 1.50145 + 11.4046i 0.147942 + 1.12373i 0.890836 + 0.454324i \(0.150119\pi\)
−0.742894 + 0.669409i \(0.766547\pi\)
\(104\) −0.190424 17.2279i −0.0186726 1.68933i
\(105\) 3.40042 + 2.36445i 0.331847 + 0.230747i
\(106\) 7.35165 + 6.12275i 0.714055 + 0.594694i
\(107\) −5.77435 1.14859i −0.558228 0.111038i −0.0920902 0.995751i \(-0.529355\pi\)
−0.466138 + 0.884712i \(0.654355\pi\)
\(108\) 2.73616 10.0256i 0.263287 0.964718i
\(109\) −4.55329 3.04241i −0.436127 0.291410i 0.318060 0.948071i \(-0.396969\pi\)
−0.754187 + 0.656660i \(0.771969\pi\)
\(110\) −0.00402635 + 0.0380595i −0.000383897 + 0.00362883i
\(111\) 3.06771 14.0551i 0.291174 1.33405i
\(112\) 14.9365 3.54306i 1.41137 0.334787i
\(113\) 13.4835 + 3.61289i 1.26842 + 0.339872i 0.829425 0.558618i \(-0.188668\pi\)
0.438995 + 0.898490i \(0.355335\pi\)
\(114\) 4.27082 12.8750i 0.399999 1.20586i
\(115\) 1.59554 0.786833i 0.148785 0.0733725i
\(116\) −1.52590 + 0.385324i −0.141676 + 0.0357765i
\(117\) 1.87048 18.1781i 0.172926 1.68056i
\(118\) −2.94991 + 2.08179i −0.271561 + 0.191644i
\(119\) −3.30181 + 25.0798i −0.302677 + 2.29906i
\(120\) 1.14696 + 2.82874i 0.104702 + 0.258228i
\(121\) −1.43554 10.9040i −0.130504 0.991275i
\(122\) −5.99625 + 5.53533i −0.542875 + 0.501146i
\(123\) −19.2447 + 2.17141i −1.73523 + 0.195789i
\(124\) −4.67614 + 9.14670i −0.419930 + 0.821398i
\(125\) 1.16837 + 5.87377i 0.104502 + 0.525366i
\(126\) 16.1664 1.93808i 1.44022 0.172658i
\(127\) 4.29170i 0.380827i −0.981704 0.190413i \(-0.939017\pi\)
0.981704 0.190413i \(-0.0609828\pi\)
\(128\) 10.6467 + 3.82725i 0.941044 + 0.338284i
\(129\) −6.05006 + 0.283995i −0.532678 + 0.0250044i
\(130\) 2.80138 + 4.57841i 0.245697 + 0.401553i
\(131\) 7.69328 + 8.77251i 0.672165 + 0.766458i 0.982920 0.184032i \(-0.0589152\pi\)
−0.310755 + 0.950490i \(0.600582\pi\)
\(132\) 0.0876060 + 0.122323i 0.00762512 + 0.0106468i
\(133\) 21.2073 1.39000i 1.83891 0.120528i
\(134\) 0.179191 0.0404190i 0.0154798 0.00349167i
\(135\) 0.868618 + 3.11889i 0.0747587 + 0.268431i
\(136\) −12.1367 + 14.1518i −1.04072 + 1.21351i
\(137\) 12.7917 + 1.68407i 1.09287 + 0.143879i 0.655348 0.755327i \(-0.272522\pi\)
0.437525 + 0.899206i \(0.355855\pi\)
\(138\) 2.63139 6.47988i 0.223999 0.551604i
\(139\) −5.10113 15.0275i −0.432673 1.27461i −0.916706 0.399563i \(-0.869162\pi\)
0.484033 0.875050i \(-0.339171\pi\)
\(140\) −3.43017 + 3.33245i −0.289902 + 0.281644i
\(141\) −7.27709 4.38332i −0.612841 0.369142i
\(142\) −6.38797 7.89945i −0.536067 0.662907i
\(143\) 0.187079 + 0.187079i 0.0156443 + 0.0156443i
\(144\) 10.7596 + 5.31320i 0.896637 + 0.442767i
\(145\) 0.346692 0.346692i 0.0287912 0.0287912i
\(146\) −12.1775 1.28827i −1.00782 0.106618i
\(147\) 6.47678 + 11.7145i 0.534196 + 0.966197i
\(148\) 15.2536 + 6.57801i 1.25384 + 0.540709i
\(149\) −5.04043 + 1.71100i −0.412928 + 0.140170i −0.520170 0.854063i \(-0.674131\pi\)
0.107242 + 0.994233i \(0.465798\pi\)
\(150\) 9.00975 + 6.81436i 0.735643 + 0.556390i
\(151\) 2.59611 19.7194i 0.211269 1.60475i −0.476741 0.879044i \(-0.658182\pi\)
0.688009 0.725702i \(-0.258485\pi\)
\(152\) 13.6506 + 7.68129i 1.10721 + 0.623035i
\(153\) −14.4913 + 13.4544i −1.17156 + 1.08773i
\(154\) −0.125925 + 0.199279i −0.0101473 + 0.0160583i
\(155\) −0.209311 3.19347i −0.0168123 0.256506i
\(156\) 20.1908 + 6.13070i 1.61656 + 0.490849i
\(157\) −1.32124 + 1.15870i −0.105447 + 0.0924742i −0.710446 0.703752i \(-0.751507\pi\)
0.604999 + 0.796226i \(0.293173\pi\)
\(158\) 4.39544 18.2537i 0.349682 1.45219i
\(159\) −9.86187 + 6.32818i −0.782097 + 0.501857i
\(160\) −3.45923 + 0.675881i −0.273476 + 0.0534331i
\(161\) 10.9575 0.863575
\(162\) 10.7000 + 6.89271i 0.840673 + 0.541543i
\(163\) 18.0849 3.59730i 1.41652 0.281763i 0.573304 0.819343i \(-0.305662\pi\)
0.843212 + 0.537580i \(0.180662\pi\)
\(164\) 1.78484 22.2915i 0.139373 1.74067i
\(165\) −0.0429652 0.0187375i −0.00334484 0.00145871i
\(166\) −2.11781 0.0846493i −0.164374 0.00657006i
\(167\) −8.00219 + 1.05351i −0.619228 + 0.0815229i −0.433612 0.901100i \(-0.642761\pi\)
−0.185616 + 0.982622i \(0.559428\pi\)
\(168\) −1.37014 + 18.7510i −0.105709 + 1.44667i
\(169\) 23.8984 + 3.14628i 1.83834 + 0.242022i
\(170\) 0.987484 5.72353i 0.0757366 0.438975i
\(171\) 13.4619 + 9.73582i 1.02946 + 0.744517i
\(172\) 1.01294 6.91995i 0.0772362 0.527641i
\(173\) 2.41145 + 4.88994i 0.183339 + 0.371775i 0.969067 0.246797i \(-0.0793781\pi\)
−0.785728 + 0.618572i \(0.787711\pi\)
\(174\) 0.112680 1.92421i 0.00854224 0.145874i
\(175\) −4.58079 + 17.0958i −0.346275 + 1.29232i
\(176\) −0.157973 + 0.0723067i −0.0119076 + 0.00545032i
\(177\) −1.34351 4.21292i −0.100984 0.316663i
\(178\) −11.9823 14.8174i −0.898109 1.11061i
\(179\) 2.66176 3.98361i 0.198949 0.297749i −0.718558 0.695467i \(-0.755198\pi\)
0.917508 + 0.397718i \(0.130198\pi\)
\(180\) −3.72668 + 0.296390i −0.277770 + 0.0220916i
\(181\) −2.65452 + 13.3452i −0.197309 + 0.991938i 0.747486 + 0.664277i \(0.231260\pi\)
−0.944795 + 0.327661i \(0.893740\pi\)
\(182\) 3.00270 + 32.9235i 0.222575 + 2.44045i
\(183\) −4.25354 9.04433i −0.314431 0.668576i
\(184\) 6.76390 + 4.41215i 0.498642 + 0.325268i
\(185\) −5.13082 + 0.675485i −0.377226 + 0.0496627i
\(186\) −8.95810 8.83431i −0.656840 0.647763i
\(187\) −0.0187242 0.285676i −0.00136925 0.0208907i
\(188\) 6.57372 7.28095i 0.479438 0.531018i
\(189\) −3.69815 + 19.5956i −0.269001 + 1.42537i
\(190\) −4.87814 + 0.124424i −0.353897 + 0.00902664i
\(191\) 3.21753 5.57293i 0.232812 0.403243i −0.725822 0.687882i \(-0.758541\pi\)
0.958635 + 0.284639i \(0.0918739\pi\)
\(192\) −8.39603 + 11.0230i −0.605931 + 0.795517i
\(193\) 1.32290 + 2.29133i 0.0952246 + 0.164934i 0.909702 0.415261i \(-0.136310\pi\)
−0.814478 + 0.580195i \(0.802976\pi\)
\(194\) 1.26047 + 2.06004i 0.0904967 + 0.147903i
\(195\) −6.38022 + 1.58338i −0.456897 + 0.113388i
\(196\) −14.7065 + 4.75637i −1.05047 + 0.339741i
\(197\) 20.0579 13.4023i 1.42907 0.954873i 0.430434 0.902622i \(-0.358360\pi\)
0.998634 0.0522509i \(-0.0166396\pi\)
\(198\) −0.175168 + 0.0572070i −0.0124487 + 0.00406553i
\(199\) −0.0424749 + 0.102544i −0.00301097 + 0.00726912i −0.925378 0.379046i \(-0.876252\pi\)
0.922367 + 0.386315i \(0.126252\pi\)
\(200\) −9.71140 + 8.70843i −0.686700 + 0.615779i
\(201\) −0.0188744 + 0.224184i −0.00133129 + 0.0158127i
\(202\) −22.9557 10.6016i −1.61516 0.745929i
\(203\) 2.85965 0.970722i 0.200708 0.0681313i
\(204\) −12.0524 19.3933i −0.843836 1.35781i
\(205\) 3.08136 + 6.24838i 0.215211 + 0.436406i
\(206\) 5.84016 15.1833i 0.406904 1.05787i
\(207\) 6.59754 + 5.46279i 0.458561 + 0.379690i
\(208\) −11.4034 + 21.5322i −0.790685 + 1.49299i
\(209\) −0.232332 + 0.0622533i −0.0160708 + 0.00430615i
\(210\) −2.62707 5.23502i −0.181285 0.361251i
\(211\) −14.8299 0.972004i −1.02093 0.0669155i −0.454269 0.890864i \(-0.650100\pi\)
−0.566664 + 0.823949i \(0.691766\pi\)
\(212\) −4.99669 12.5739i −0.343174 0.863579i
\(213\) 11.5815 4.54750i 0.793553 0.311590i
\(214\) 6.39788 + 5.32841i 0.437350 + 0.364243i
\(215\) 0.833788 + 2.01294i 0.0568639 + 0.137282i
\(216\) −10.1731 + 10.6069i −0.692195 + 0.721711i
\(217\) 7.54346 18.2115i 0.512083 1.23628i
\(218\) 3.60130 + 6.85625i 0.243911 + 0.464364i
\(219\) 5.99526 13.7472i 0.405122 0.928947i
\(220\) 0.0307171 0.0445638i 0.00207094 0.00300449i
\(221\) −26.4732 30.1869i −1.78078 2.03059i
\(222\) −13.3075 + 15.3890i −0.893144 + 1.03284i
\(223\) 7.41779 12.8480i 0.496732 0.860365i −0.503261 0.864135i \(-0.667866\pi\)
0.999993 + 0.00376937i \(0.00119983\pi\)
\(224\) −20.9506 5.69001i −1.39982 0.380180i
\(225\) −11.2811 + 8.00965i −0.752070 + 0.533976i
\(226\) −14.3105 13.5987i −0.951922 0.904570i
\(227\) −6.20964 2.10789i −0.412148 0.139906i 0.107661 0.994188i \(-0.465664\pi\)
−0.519810 + 0.854282i \(0.673997\pi\)
\(228\) −14.0050 + 13.1101i −0.927501 + 0.868235i
\(229\) −6.01399 2.96577i −0.397416 0.195984i 0.232589 0.972575i \(-0.425280\pi\)
−0.630005 + 0.776591i \(0.716947\pi\)
\(230\) −2.51388 0.100480i −0.165760 0.00662549i
\(231\) −0.186302 0.220556i −0.0122578 0.0145115i
\(232\) 2.15609 + 0.552255i 0.141554 + 0.0362573i
\(233\) −6.33234 + 2.62294i −0.414845 + 0.171835i −0.580337 0.814377i \(-0.697079\pi\)
0.165491 + 0.986211i \(0.447079\pi\)
\(234\) −14.6058 + 21.3202i −0.954813 + 1.39375i
\(235\) −0.596199 + 2.99730i −0.0388918 + 0.195522i
\(236\) 5.07146 0.593263i 0.330124 0.0386182i
\(237\) 19.6978 + 11.8648i 1.27951 + 0.770705i
\(238\) 21.0472 28.9276i 1.36429 1.87510i
\(239\) 11.7230 + 3.14117i 0.758299 + 0.203186i 0.617196 0.786809i \(-0.288268\pi\)
0.141103 + 0.989995i \(0.454935\pi\)
\(240\) 0.486285 4.28931i 0.0313895 0.276873i
\(241\) 25.1649 6.74291i 1.62101 0.434349i 0.669714 0.742619i \(-0.266416\pi\)
0.951299 + 0.308269i \(0.0997498\pi\)
\(242\) −5.58380 + 14.5168i −0.358940 + 0.933177i
\(243\) −11.9959 + 9.95484i −0.769536 + 0.638603i
\(244\) 11.1895 2.82561i 0.716337 0.180891i
\(245\) 3.17494 3.62032i 0.202839 0.231294i
\(246\) 25.3762 + 10.3049i 1.61793 + 0.657018i
\(247\) −20.5353 + 26.7622i −1.30663 + 1.70284i
\(248\) 11.9895 8.20423i 0.761333 0.520969i
\(249\) 0.879843 2.44219i 0.0557578 0.154768i
\(250\) 2.51705 8.08684i 0.159192 0.511457i
\(251\) 6.44551 + 9.64639i 0.406837 + 0.608875i 0.977150 0.212553i \(-0.0681778\pi\)
−0.570312 + 0.821428i \(0.693178\pi\)
\(252\) −21.3942 8.51498i −1.34771 0.536393i
\(253\) −0.121629 + 0.0241935i −0.00764673 + 0.00152103i
\(254\) −2.89968 + 5.33190i −0.181942 + 0.334553i
\(255\) 6.32041 + 3.26395i 0.395799 + 0.204396i
\(256\) −10.6413 11.9483i −0.665084 0.746769i
\(257\) −18.3379 + 10.5874i −1.14389 + 0.660424i −0.947390 0.320081i \(-0.896290\pi\)
−0.196497 + 0.980504i \(0.562957\pi\)
\(258\) 7.70833 + 3.73488i 0.479900 + 0.232523i
\(259\) −30.1837 10.2460i −1.87552 0.636655i
\(260\) −0.386973 7.58086i −0.0239990 0.470145i
\(261\) 2.20575 + 0.841186i 0.136532 + 0.0520681i
\(262\) −3.63083 16.0967i −0.224313 0.994458i
\(263\) −15.5826 + 11.9569i −0.960862 + 0.737295i −0.964878 0.262697i \(-0.915388\pi\)
0.00401683 + 0.999992i \(0.498721\pi\)
\(264\) −0.0261924 0.211162i −0.00161203 0.0129961i
\(265\) 3.34414 + 2.56605i 0.205429 + 0.157631i
\(266\) −27.2866 12.6018i −1.67305 0.772665i
\(267\) 21.7241 8.53000i 1.32949 0.522027i
\(268\) −0.249932 0.0708547i −0.0152670 0.00432814i
\(269\) −10.8465 7.24740i −0.661323 0.441882i 0.179087 0.983833i \(-0.442686\pi\)
−0.840410 + 0.541952i \(0.817686\pi\)
\(270\) 1.02812 4.46172i 0.0625695 0.271531i
\(271\) 3.22519 3.22519i 0.195916 0.195916i −0.602331 0.798247i \(-0.705761\pi\)
0.798247 + 0.602331i \(0.205761\pi\)
\(272\) 24.6401 9.38172i 1.49402 0.568850i
\(273\) −39.5589 8.63425i −2.39422 0.522569i
\(274\) −14.7543 10.7350i −0.891342 0.648523i
\(275\) 0.0131006 0.199877i 0.000789998 0.0120530i
\(276\) −7.64730 + 6.27256i −0.460313 + 0.377564i
\(277\) 9.39862 10.7171i 0.564709 0.643927i −0.397059 0.917793i \(-0.629969\pi\)
0.961768 + 0.273866i \(0.0883026\pi\)
\(278\) −3.81574 + 22.1163i −0.228853 + 1.32645i
\(279\) 13.6211 7.20444i 0.815476 0.431318i
\(280\) 6.51313 1.82258i 0.389234 0.108920i
\(281\) −14.2211 + 10.9122i −0.848358 + 0.650968i −0.938621 0.344950i \(-0.887896\pi\)
0.0902627 + 0.995918i \(0.471229\pi\)
\(282\) 6.07930 + 10.3625i 0.362017 + 0.617077i
\(283\) 12.3817 25.1076i 0.736017 1.49249i −0.129481 0.991582i \(-0.541331\pi\)
0.865498 0.500913i \(-0.167002\pi\)
\(284\) 2.59902 + 14.1301i 0.154223 + 0.838468i
\(285\) 1.65358 5.74310i 0.0979499 0.340192i
\(286\) −0.106023 0.358822i −0.00626926 0.0212176i
\(287\) 42.9114i 2.53298i
\(288\) −9.77767 13.8707i −0.576155 0.817341i
\(289\) 26.4468i 1.55569i
\(290\) −0.664965 + 0.196480i −0.0390481 + 0.0115377i
\(291\) −2.87077 + 0.712440i −0.168287 + 0.0417639i
\(292\) 14.2586 + 9.82824i 0.834424 + 0.575154i
\(293\) 0.588816 1.19400i 0.0343990 0.0697543i −0.878995 0.476831i \(-0.841785\pi\)
0.913394 + 0.407077i \(0.133452\pi\)
\(294\) −0.131707 18.9299i −0.00768133 1.10401i
\(295\) −1.26200 + 0.968369i −0.0734766 + 0.0563806i
\(296\) −14.5063 18.4784i −0.843160 1.07404i
\(297\) −0.00221618 0.225676i −0.000128596 0.0130951i
\(298\) 7.41815 + 1.27986i 0.429722 + 0.0741401i
\(299\) −11.4674 + 13.0760i −0.663176 + 0.756207i
\(300\) −6.58939 14.5534i −0.380439 0.840242i
\(301\) −0.877710 + 13.3913i −0.0505904 + 0.771860i
\(302\) −16.5488 + 22.7449i −0.952274 + 1.30882i
\(303\) 20.8471 22.9006i 1.19763 1.31561i
\(304\) −11.7694 18.7661i −0.675019 1.07631i
\(305\) −2.54232 + 2.54232i −0.145573 + 0.145573i
\(306\) 27.0942 6.92444i 1.54887 0.395844i
\(307\) −1.37479 0.918603i −0.0784632 0.0524274i 0.515720 0.856757i \(-0.327525\pi\)
−0.594183 + 0.804330i \(0.702525\pi\)
\(308\) 0.291088 0.162498i 0.0165863 0.00925920i
\(309\) 15.5791 + 12.4199i 0.886262 + 0.706543i
\(310\) −1.89762 + 4.10892i −0.107778 + 0.233371i
\(311\) −20.0303 15.3698i −1.13581 0.871541i −0.142826 0.989748i \(-0.545619\pi\)
−0.992989 + 0.118207i \(0.962285\pi\)
\(312\) −20.9424 21.2585i −1.18563 1.20353i
\(313\) −19.4816 + 14.9488i −1.10117 + 0.844954i −0.988879 0.148722i \(-0.952484\pi\)
−0.112287 + 0.993676i \(0.535818\pi\)
\(314\) 2.42435 0.546845i 0.136814 0.0308602i
\(315\) 7.08281 1.13766i 0.399071 0.0641001i
\(316\) −17.7939 + 19.7082i −1.00098 + 1.10867i
\(317\) 31.3721 + 10.6494i 1.76203 + 0.598129i 0.998845 0.0480495i \(-0.0153005\pi\)
0.763186 + 0.646178i \(0.223634\pi\)
\(318\) 16.5278 1.19883i 0.926832 0.0672270i
\(319\) −0.0295989 + 0.0170889i −0.00165722 + 0.000956797i
\(320\) 4.75432 + 1.49752i 0.265775 + 0.0837140i
\(321\) −8.58243 + 5.50719i −0.479025 + 0.307381i
\(322\) −13.6134 7.40344i −0.758644 0.412578i
\(323\) 35.8009 7.12123i 1.99201 0.396236i
\(324\) −8.63641 15.7928i −0.479800 0.877378i
\(325\) −15.6071 23.3576i −0.865725 1.29565i
\(326\) −24.8987 7.74980i −1.37901 0.429222i
\(327\) −9.33552 + 1.67763i −0.516255 + 0.0927731i
\(328\) −17.2787 + 26.4885i −0.954054 + 1.46258i
\(329\) −11.4588 + 14.9334i −0.631744 + 0.823305i
\(330\) 0.0407190 + 0.0523084i 0.00224151 + 0.00287949i
\(331\) −15.6206 + 17.8118i −0.858584 + 0.979027i −0.999940 0.0109314i \(-0.996520\pi\)
0.141356 + 0.989959i \(0.454854\pi\)
\(332\) 2.57392 + 1.53606i 0.141262 + 0.0843023i
\(333\) −13.0656 21.2170i −0.715989 1.16268i
\(334\) 10.6535 + 4.09781i 0.582935 + 0.224222i
\(335\) 0.0781739 0.0209466i 0.00427109 0.00114444i
\(336\) 14.3713 22.3701i 0.784020 1.22039i
\(337\) −23.7924 6.37515i −1.29605 0.347276i −0.456097 0.889930i \(-0.650753\pi\)
−0.839957 + 0.542654i \(0.817420\pi\)
\(338\) −27.5650 20.0558i −1.49934 1.09089i
\(339\) 21.1593 11.6986i 1.14921 0.635383i
\(340\) −5.09392 + 6.44359i −0.276257 + 0.349453i
\(341\) −0.0435227 + 0.218803i −0.00235689 + 0.0118489i
\(342\) −10.1468 21.1911i −0.548675 1.14588i
\(343\) 2.58218 1.06957i 0.139425 0.0577516i
\(344\) −5.93391 + 7.91279i −0.319935 + 0.426629i
\(345\) 1.04439 2.89893i 0.0562281 0.156073i
\(346\) 0.307948 7.70443i 0.0165554 0.414193i
\(347\) 16.7622 + 8.26619i 0.899841 + 0.443752i 0.832530 0.553980i \(-0.186891\pi\)
0.0673106 + 0.997732i \(0.478558\pi\)
\(348\) −1.44008 + 2.31446i −0.0771963 + 0.124068i
\(349\) 0.425696 + 0.144504i 0.0227870 + 0.00773514i 0.332810 0.942994i \(-0.392003\pi\)
−0.310023 + 0.950729i \(0.600337\pi\)
\(350\) 17.2418 18.1444i 0.921612 0.969857i
\(351\) −19.5139 24.9205i −1.04158 1.33016i
\(352\) 0.245115 + 0.0169017i 0.0130647 + 0.000900865i
\(353\) 5.20208 9.01026i 0.276879 0.479568i −0.693729 0.720236i \(-0.744033\pi\)
0.970607 + 0.240668i \(0.0773667\pi\)
\(354\) −1.17731 + 6.14177i −0.0625735 + 0.326432i
\(355\) −2.95117 3.36516i −0.156632 0.178604i
\(356\) 4.87512 + 26.5046i 0.258381 + 1.40474i
\(357\) 26.0233 + 35.2488i 1.37730 + 1.86556i
\(358\) −5.99843 + 3.15073i −0.317027 + 0.166521i
\(359\) 2.58891 6.25018i 0.136637 0.329872i −0.840719 0.541472i \(-0.817867\pi\)
0.977356 + 0.211600i \(0.0678673\pi\)
\(360\) 4.83019 + 2.14969i 0.254573 + 0.113299i
\(361\) −4.46504 10.7795i −0.235002 0.567345i
\(362\) 12.3145 14.7862i 0.647238 0.777145i
\(363\) −14.8952 11.8747i −0.781795 0.623260i
\(364\) 18.5142 42.9322i 0.970409 2.25026i
\(365\) −5.38356 0.352857i −0.281788 0.0184694i
\(366\) −0.826290 + 14.1104i −0.0431909 + 0.737560i
\(367\) 19.3409 5.18239i 1.00959 0.270518i 0.284131 0.958785i \(-0.408295\pi\)
0.725457 + 0.688267i \(0.241628\pi\)
\(368\) −5.42226 10.0516i −0.282655 0.523974i
\(369\) −21.3931 + 25.8370i −1.11368 + 1.34502i
\(370\) 6.83080 + 2.62742i 0.355117 + 0.136593i
\(371\) 11.4831 + 23.2855i 0.596174 + 1.20892i
\(372\) 5.16045 + 17.0281i 0.267557 + 0.882864i
\(373\) −7.92090 + 2.68878i −0.410129 + 0.139220i −0.518876 0.854850i \(-0.673649\pi\)
0.108747 + 0.994069i \(0.465316\pi\)
\(374\) −0.169754 + 0.367568i −0.00877776 + 0.0190065i
\(375\) 8.51649 + 5.92186i 0.439789 + 0.305803i
\(376\) −13.0864 + 4.60415i −0.674879 + 0.237441i
\(377\) −1.83431 + 4.42842i −0.0944719 + 0.228075i
\(378\) 17.8342 21.8465i 0.917293 1.12366i
\(379\) 2.95817 1.97658i 0.151951 0.101530i −0.477271 0.878756i \(-0.658374\pi\)
0.629221 + 0.777226i \(0.283374\pi\)
\(380\) 6.14455 + 3.14132i 0.315209 + 0.161146i
\(381\) −5.15787 5.35279i −0.264246 0.274232i
\(382\) −7.76272 + 4.74975i −0.397175 + 0.243019i
\(383\) 10.0854 + 17.4684i 0.515341 + 0.892596i 0.999841 + 0.0178052i \(0.00566787\pi\)
−0.484501 + 0.874791i \(0.660999\pi\)
\(384\) 17.8787 8.02196i 0.912369 0.409369i
\(385\) −0.0519291 + 0.0899438i −0.00264655 + 0.00458396i
\(386\) −0.0954071 3.74052i −0.00485610 0.190387i
\(387\) −7.20458 + 7.62532i −0.366230 + 0.387617i
\(388\) −0.174117 3.41099i −0.00883947 0.173167i
\(389\) −1.65945 25.3183i −0.0841373 1.28369i −0.806110 0.591765i \(-0.798431\pi\)
0.721973 0.691921i \(-0.243235\pi\)
\(390\) 8.99645 + 2.34363i 0.455553 + 0.118674i
\(391\) 18.6588 2.45648i 0.943618 0.124230i
\(392\) 21.4847 + 4.02724i 1.08514 + 0.203406i
\(393\) 20.1384 + 1.69548i 1.01585 + 0.0855256i
\(394\) −33.9747 + 3.09857i −1.71162 + 0.156104i
\(395\) 1.61380 8.11314i 0.0811993 0.408216i
\(396\) 0.256277 + 0.0472794i 0.0128784 + 0.00237588i
\(397\) −8.73631 + 13.0748i −0.438463 + 0.656206i −0.983228 0.182383i \(-0.941619\pi\)
0.544765 + 0.838589i \(0.316619\pi\)
\(398\) 0.122053 0.0986996i 0.00611797 0.00494736i
\(399\) 24.7802 27.2211i 1.24056 1.36276i
\(400\) 17.9491 4.25765i 0.897453 0.212883i
\(401\) −9.20712 + 34.3614i −0.459782 + 1.71593i 0.213855 + 0.976866i \(0.431398\pi\)
−0.673636 + 0.739063i \(0.735269\pi\)
\(402\) 0.174919 0.265769i 0.00872415 0.0132553i
\(403\) 13.8380 + 28.0608i 0.689322 + 1.39781i
\(404\) 21.3567 + 28.6812i 1.06253 + 1.42694i
\(405\) 4.83174 + 2.84609i 0.240091 + 0.141423i
\(406\) −4.20863 0.726118i −0.208871 0.0360366i
\(407\) 0.357662 + 0.0470871i 0.0177286 + 0.00233402i
\(408\) 1.87053 + 32.2370i 0.0926050 + 1.59597i
\(409\) −2.68283 + 0.353201i −0.132657 + 0.0174647i −0.196562 0.980491i \(-0.562978\pi\)
0.0639051 + 0.997956i \(0.479645\pi\)
\(410\) 0.393497 9.84475i 0.0194334 0.486198i
\(411\) 17.9784 13.2730i 0.886808 0.654709i
\(412\) −17.5143 + 14.9175i −0.862866 + 0.734933i
\(413\) −9.60957 + 1.91146i −0.472856 + 0.0940569i
\(414\) −4.50570 11.2445i −0.221443 0.552635i
\(415\) −0.933809 −0.0458389
\(416\) 28.7155 19.0464i 1.40790 0.933827i
\(417\) −24.4227 12.6122i −1.19599 0.617624i
\(418\) 0.330706 + 0.0796329i 0.0161753 + 0.00389497i
\(419\) 15.5102 13.6021i 0.757724 0.664506i −0.190651 0.981658i \(-0.561060\pi\)
0.948375 + 0.317152i \(0.102727\pi\)
\(420\) −0.273230 + 8.27884i −0.0133323 + 0.403966i
\(421\) −0.351886 5.36874i −0.0171499 0.261657i −0.997820 0.0659897i \(-0.978980\pi\)
0.980670 0.195667i \(-0.0626871\pi\)
\(422\) 17.7676 + 11.2274i 0.864914 + 0.546541i
\(423\) −14.3443 + 3.27872i −0.697443 + 0.159417i
\(424\) −2.28776 + 18.9975i −0.111103 + 0.922601i
\(425\) −3.96776 + 30.1381i −0.192464 + 1.46191i
\(426\) −17.4611 2.17532i −0.845994 0.105395i
\(427\) −20.9701 + 7.11838i −1.01481 + 0.344482i
\(428\) −4.34844 10.9426i −0.210190 0.528931i
\(429\) 0.458169 + 0.00849694i 0.0221206 + 0.000410236i
\(430\) 0.324162 3.06418i 0.0156325 0.147768i
\(431\) −4.79543 + 4.79543i −0.230988 + 0.230988i −0.813105 0.582117i \(-0.802224\pi\)
0.582117 + 0.813105i \(0.302224\pi\)
\(432\) 19.8054 6.30435i 0.952889 0.303318i
\(433\) −9.45993 9.45993i −0.454615 0.454615i 0.442268 0.896883i \(-0.354174\pi\)
−0.896883 + 0.442268i \(0.854174\pi\)
\(434\) −21.6764 + 17.5288i −1.04050 + 0.841411i
\(435\) 0.0157465 0.849073i 0.000754985 0.0407100i
\(436\) 0.158236 10.9513i 0.00757813 0.524470i
\(437\) −5.08249 14.9725i −0.243129 0.716234i
\(438\) −16.7366 + 13.0285i −0.799706 + 0.622524i
\(439\) −0.376424 0.0495572i −0.0179658 0.00236524i 0.121538 0.992587i \(-0.461217\pi\)
−0.139504 + 0.990222i \(0.544551\pi\)
\(440\) −0.0682717 + 0.0346111i −0.00325472 + 0.00165002i
\(441\) 22.1569 + 6.82691i 1.05509 + 0.325091i
\(442\) 12.4939 + 55.3900i 0.594277 + 2.63463i
\(443\) −17.9980 + 1.17965i −0.855109 + 0.0560468i −0.486650 0.873597i \(-0.661781\pi\)
−0.368459 + 0.929644i \(0.620114\pi\)
\(444\) 26.9305 10.1277i 1.27807 0.480642i
\(445\) −5.53566 6.31221i −0.262415 0.299227i
\(446\) −17.8964 + 10.9502i −0.847420 + 0.518508i
\(447\) −4.23033 + 8.19174i −0.200088 + 0.387456i
\(448\) 22.1841 + 21.2244i 1.04810 + 1.00276i
\(449\) 15.9741i 0.753862i −0.926241 0.376931i \(-0.876979\pi\)
0.926241 0.376931i \(-0.123021\pi\)
\(450\) 19.4270 2.32898i 0.915798 0.109789i
\(451\) −0.0947454 0.476317i −0.00446139 0.0224289i
\(452\) 8.59115 + 26.5635i 0.404094 + 1.24944i
\(453\) −20.4613 27.7150i −0.961357 1.30217i
\(454\) 6.29052 + 6.81433i 0.295229 + 0.319812i
\(455\) 1.90120 + 14.4410i 0.0891295 + 0.677006i
\(456\) 26.2572 6.82521i 1.22961 0.319620i
\(457\) −0.135522 + 1.02939i −0.00633947 + 0.0481530i −0.994322 0.106411i \(-0.966064\pi\)
0.987983 + 0.154564i \(0.0493974\pi\)
\(458\) 5.46782 + 7.74795i 0.255495 + 0.362038i
\(459\) −1.90435 + 34.1970i −0.0888872 + 1.59618i
\(460\) 3.05530 + 1.82333i 0.142454 + 0.0850134i
\(461\) 9.76726 4.81668i 0.454906 0.224335i −0.200376 0.979719i \(-0.564216\pi\)
0.655282 + 0.755384i \(0.272550\pi\)
\(462\) 0.0824391 + 0.399888i 0.00383542 + 0.0186045i
\(463\) 4.50467 + 1.20702i 0.209350 + 0.0560951i 0.361970 0.932190i \(-0.382104\pi\)
−0.152620 + 0.988285i \(0.548771\pi\)
\(464\) −2.30554 2.14286i −0.107032 0.0994800i
\(465\) −4.09906 3.73149i −0.190089 0.173044i
\(466\) 9.63934 + 1.01975i 0.446534 + 0.0472392i
\(467\) 0.869546 + 0.581012i 0.0402378 + 0.0268860i 0.575526 0.817783i \(-0.304797\pi\)
−0.535289 + 0.844669i \(0.679797\pi\)
\(468\) 32.5509 16.6194i 1.50467 0.768231i
\(469\) 0.488909 + 0.0972501i 0.0225757 + 0.00449059i
\(470\) 2.76582 3.32095i 0.127578 0.153184i
\(471\) −0.255359 + 3.03308i −0.0117663 + 0.139757i
\(472\) −6.70150 2.68946i −0.308461 0.123793i
\(473\) −0.0198244 0.150581i −0.000911526 0.00692373i
\(474\) −16.4556 28.0494i −0.755829 1.28835i
\(475\) 25.4846 1.67035i 1.16931 0.0766409i
\(476\) −45.6934 + 21.7185i −2.09436 + 0.995467i
\(477\) −4.69479 + 19.7450i −0.214960 + 0.904062i
\(478\) −12.4421 11.8232i −0.569088 0.540779i
\(479\) 18.0184 + 10.4029i 0.823283 + 0.475323i 0.851547 0.524278i \(-0.175665\pi\)
−0.0282644 + 0.999600i \(0.508998\pi\)
\(480\) −3.50221 + 5.00037i −0.159853 + 0.228235i
\(481\) 43.8151 25.2966i 1.99779 1.15343i
\(482\) −35.8201 8.62538i −1.63156 0.392875i
\(483\) 13.6667 13.1690i 0.621857 0.599212i
\(484\) 16.7454 14.2627i 0.761157 0.648304i
\(485\) 0.591145 + 0.884711i 0.0268425 + 0.0401726i
\(486\) 21.6294 4.26266i 0.981128 0.193358i
\(487\) −1.01571 0.420721i −0.0460262 0.0190647i 0.359552 0.933125i \(-0.382930\pi\)
−0.405578 + 0.914061i \(0.632930\pi\)
\(488\) −15.8107 4.04972i −0.715719 0.183322i
\(489\) 18.2329 26.2216i 0.824521 1.18578i
\(490\) −6.39053 + 2.35266i −0.288695 + 0.106283i
\(491\) −3.12969 9.21977i −0.141241 0.416082i 0.853174 0.521627i \(-0.174675\pi\)
−0.994415 + 0.105545i \(0.966341\pi\)
\(492\) −24.5643 29.9480i −1.10745 1.35016i
\(493\) 4.65189 2.29406i 0.209511 0.103319i
\(494\) 43.5944 19.3740i 1.96141 0.871679i
\(495\) −0.0761073 + 0.0282664i −0.00342077 + 0.00127048i
\(496\) −20.4386 + 2.09207i −0.917721 + 0.0939368i
\(497\) −7.13531 26.6293i −0.320062 1.19449i
\(498\) −2.74316 + 2.43966i −0.122924 + 0.109324i
\(499\) −1.60319 + 24.4599i −0.0717686 + 1.09498i 0.798369 + 0.602168i \(0.205696\pi\)
−0.870138 + 0.492808i \(0.835970\pi\)
\(500\) −8.59099 + 8.34626i −0.384201 + 0.373256i
\(501\) −8.71455 + 10.9312i −0.389337 + 0.488370i
\(502\) −1.49019 16.3393i −0.0665103 0.729261i
\(503\) −6.90445 + 2.85992i −0.307854 + 0.127517i −0.531262 0.847208i \(-0.678282\pi\)
0.223408 + 0.974725i \(0.428282\pi\)
\(504\) 20.8266 + 25.0338i 0.927689 + 1.11509i
\(505\) −10.2923 4.26321i −0.458002 0.189710i
\(506\) 0.167455 + 0.0521208i 0.00744428 + 0.00231705i
\(507\) 33.5884 24.7975i 1.49171 1.10130i
\(508\) 7.20498 4.66507i 0.319669 0.206979i
\(509\) −6.25679 + 5.48706i −0.277327 + 0.243210i −0.786699 0.617337i \(-0.788211\pi\)
0.509371 + 0.860547i \(0.329878\pi\)
\(510\) −5.64705 8.32542i −0.250055 0.368656i
\(511\) −28.7784 16.6152i −1.27308 0.735015i
\(512\) 5.14770 + 22.0341i 0.227498 + 0.973778i
\(513\) 28.4910 4.03592i 1.25791 0.178190i
\(514\) 29.9359 0.763558i 1.32042 0.0336791i
\(515\) 2.30384 6.78689i 0.101519 0.299066i
\(516\) −7.05318 9.84825i −0.310499 0.433545i
\(517\) 0.0942209 0.191061i 0.00414383 0.00840286i
\(518\) 30.5769 + 33.1230i 1.34347 + 1.45534i
\(519\) 8.88451 + 3.20080i 0.389987 + 0.140500i
\(520\) −4.64123 + 9.67974i −0.203531 + 0.424485i
\(521\) 1.35428 + 3.26951i 0.0593320 + 0.143240i 0.950765 0.309912i \(-0.100300\pi\)
−0.891433 + 0.453152i \(0.850300\pi\)
\(522\) −2.17202 2.53538i −0.0950668 0.110970i
\(523\) −31.2494 6.21589i −1.36644 0.271802i −0.543251 0.839570i \(-0.682807\pi\)
−0.823188 + 0.567768i \(0.807807\pi\)
\(524\) −6.36486 + 22.4513i −0.278050 + 0.980791i
\(525\) 14.8327 + 26.8279i 0.647353 + 1.17086i
\(526\) 27.4381 4.32667i 1.19636 0.188652i
\(527\) 8.76254 32.7022i 0.381702 1.42453i
\(528\) −0.110130 + 0.280039i −0.00479281 + 0.0121871i
\(529\) 3.84290 + 14.3419i 0.167083 + 0.623560i
\(530\) −2.42094 5.44746i −0.105159 0.236623i
\(531\) −6.73887 3.63988i −0.292442 0.157957i
\(532\) 25.3859 + 34.0923i 1.10062 + 1.47809i
\(533\) −51.2078 44.9080i −2.21806 1.94518i
\(534\) −32.7528 4.08036i −1.41735 0.176575i
\(535\) 2.91029 + 2.23314i 0.125823 + 0.0965471i
\(536\) 0.262637 + 0.256894i 0.0113442 + 0.0110961i
\(537\) −1.46773 8.16750i −0.0633373 0.352454i
\(538\) 8.57874 + 16.3324i 0.369856 + 0.704140i
\(539\) −0.279096 + 0.186486i −0.0120215 + 0.00803253i
\(540\) −4.29186 + 4.84848i −0.184692 + 0.208645i
\(541\) 6.60858 + 33.2236i 0.284125 + 1.42839i 0.814270 + 0.580487i \(0.197138\pi\)
−0.530145 + 0.847907i \(0.677862\pi\)
\(542\) −6.18599 + 1.82781i −0.265711 + 0.0785110i
\(543\) 12.7277 + 19.8349i 0.546199 + 0.851199i
\(544\) −36.9510 4.99238i −1.58426 0.214047i
\(545\) 1.70604 + 2.95495i 0.0730787 + 0.126576i
\(546\) 43.3134 + 37.4549i 1.85364 + 1.60292i
\(547\) −9.61048 + 28.3116i −0.410914 + 1.21051i 0.522788 + 0.852463i \(0.324892\pi\)
−0.933702 + 0.358051i \(0.883441\pi\)
\(548\) 11.0774 + 23.3056i 0.473202 + 0.995566i
\(549\) −16.1749 6.16848i −0.690328 0.263264i
\(550\) −0.151322 + 0.239471i −0.00645241 + 0.0102111i
\(551\) −2.65282 3.45722i −0.113014 0.147283i
\(552\) 13.7389 2.62600i 0.584765 0.111770i
\(553\) 31.0169 40.4220i 1.31897 1.71892i
\(554\) −18.9176 + 6.96448i −0.803732 + 0.295892i
\(555\) −5.58757 + 7.00884i −0.237179 + 0.297509i
\(556\) 19.6835 24.8987i 0.834764 1.05594i
\(557\) 12.1591 18.1974i 0.515198 0.771049i −0.479091 0.877765i \(-0.659034\pi\)
0.994290 + 0.106716i \(0.0340337\pi\)
\(558\) −21.7902 0.252468i −0.922454 0.0106878i
\(559\) −15.0618 15.0618i −0.637044 0.637044i
\(560\) −9.32318 2.13626i −0.393976 0.0902733i
\(561\) −0.366686 0.333804i −0.0154815 0.0140932i
\(562\) 25.0408 3.94864i 1.05628 0.166563i
\(563\) 13.9413 + 0.913758i 0.587554 + 0.0385103i 0.356281 0.934379i \(-0.384044\pi\)
0.231272 + 0.972889i \(0.425711\pi\)
\(564\) −0.551389 16.9816i −0.0232177 0.715053i
\(565\) −6.53918 5.73471i −0.275105 0.241261i
\(566\) −32.3467 + 22.8275i −1.35963 + 0.959510i
\(567\) 18.9380 + 28.8850i 0.795320 + 1.21306i
\(568\) 6.31803 19.3109i 0.265099 0.810269i
\(569\) −10.8106 14.0887i −0.453206 0.590629i 0.509739 0.860329i \(-0.329742\pi\)
−0.962944 + 0.269700i \(0.913075\pi\)
\(570\) −5.93469 + 6.01785i −0.248577 + 0.252060i
\(571\) −20.0186 9.87207i −0.837752 0.413133i −0.0277882 0.999614i \(-0.508846\pi\)
−0.809963 + 0.586480i \(0.800513\pi\)
\(572\) −0.110717 + 0.517426i −0.00462931 + 0.0216346i
\(573\) −2.68464 10.8177i −0.112152 0.451916i
\(574\) 28.9930 53.3121i 1.21015 2.22521i
\(575\) 13.1676 0.549125
\(576\) 2.77582 + 23.8389i 0.115659 + 0.993289i
\(577\) −18.9790 −0.790106 −0.395053 0.918658i \(-0.629274\pi\)
−0.395053 + 0.918658i \(0.629274\pi\)
\(578\) 17.8687 32.8569i 0.743241 1.36667i
\(579\) 4.40377 + 1.26796i 0.183014 + 0.0526945i
\(580\) 0.958888 + 0.205179i 0.0398157 + 0.00851961i
\(581\) −5.15852 2.54390i −0.214012 0.105539i
\(582\) 4.04793 + 1.05451i 0.167792 + 0.0437108i
\(583\) −0.178875 0.233115i −0.00740826 0.00965464i
\(584\) −11.0742 21.8442i −0.458253 0.903919i
\(585\) −6.05475 + 9.64278i −0.250333 + 0.398680i
\(586\) −1.53826 + 1.08557i −0.0635448 + 0.0448443i
\(587\) 8.49881 + 7.45326i 0.350783 + 0.307629i 0.816545 0.577281i \(-0.195886\pi\)
−0.465762 + 0.884910i \(0.654220\pi\)
\(588\) −12.6263 + 23.6070i −0.520700 + 0.973537i
\(589\) −28.3834 1.86035i −1.16952 0.0766543i
\(590\) 2.22216 0.350409i 0.0914848 0.0144261i
\(591\) 8.90994 40.8220i 0.366506 1.67919i
\(592\) 5.53734 + 32.7583i 0.227583 + 1.34636i
\(593\) −19.2011 19.2011i −0.788494 0.788494i 0.192753 0.981247i \(-0.438258\pi\)
−0.981247 + 0.192753i \(0.938258\pi\)
\(594\) −0.149725 + 0.281873i −0.00614327 + 0.0115654i
\(595\) 8.75656 13.1051i 0.358984 0.537257i
\(596\) −8.35140 6.60212i −0.342087 0.270433i
\(597\) 0.0702628 + 0.178944i 0.00287566 + 0.00732370i
\(598\) 23.0816 8.49745i 0.943877 0.347487i
\(599\) −1.60367 + 2.08994i −0.0655241 + 0.0853927i −0.824966 0.565183i \(-0.808806\pi\)
0.759442 + 0.650576i \(0.225472\pi\)
\(600\) −1.64648 + 22.5329i −0.0672174 + 0.919903i
\(601\) −0.813802 1.06057i −0.0331957 0.0432614i 0.776461 0.630166i \(-0.217013\pi\)
−0.809656 + 0.586904i \(0.800346\pi\)
\(602\) 10.1382 16.0440i 0.413204 0.653904i
\(603\) 0.245889 + 0.302296i 0.0100134 + 0.0123104i
\(604\) 35.9274 17.0766i 1.46186 0.694838i
\(605\) −2.20271 + 6.48897i −0.0895528 + 0.263814i
\(606\) −41.3727 + 14.3659i −1.68065 + 0.583576i
\(607\) 12.6318 + 21.8790i 0.512710 + 0.888040i 0.999891 + 0.0147391i \(0.00469177\pi\)
−0.487181 + 0.873301i \(0.661975\pi\)
\(608\) 1.94272 + 31.2665i 0.0787877 + 1.26802i
\(609\) 2.40005 4.64753i 0.0972549 0.188327i
\(610\) 4.87623 1.44081i 0.197433 0.0583365i
\(611\) −5.82862 29.3025i −0.235801 1.18545i
\(612\) −38.3397 9.70337i −1.54979 0.392235i
\(613\) 14.5882 9.74755i 0.589214 0.393700i −0.224920 0.974377i \(-0.572212\pi\)
0.814134 + 0.580677i \(0.197212\pi\)
\(614\) 1.08735 + 2.07012i 0.0438819 + 0.0835433i
\(615\) 11.3527 + 4.09000i 0.457784 + 0.164925i
\(616\) −0.471433 + 0.00521085i −0.0189946 + 0.000209951i
\(617\) 38.6693 + 29.6720i 1.55677 + 1.19455i 0.896085 + 0.443883i \(0.146399\pi\)
0.660681 + 0.750666i \(0.270267\pi\)
\(618\) −10.9636 25.9562i −0.441020 1.04411i
\(619\) −26.1964 22.9736i −1.05292 0.923389i −0.0557437 0.998445i \(-0.517753\pi\)
−0.997179 + 0.0750565i \(0.976086\pi\)
\(620\) 5.13374 3.82270i 0.206176 0.153523i
\(621\) 14.7941 1.11565i 0.593665 0.0447696i
\(622\) 14.5006 + 32.6285i 0.581422 + 1.30828i
\(623\) −13.3841 49.9501i −0.536222 2.00121i
\(624\) 11.6551 + 40.5608i 0.466577 + 1.62373i
\(625\) −5.00230 + 18.6688i −0.200092 + 0.746753i
\(626\) 34.3036 5.40928i 1.37105 0.216198i
\(627\) −0.214958 + 0.356868i −0.00858458 + 0.0142519i
\(628\) −3.38143 0.958623i −0.134934 0.0382532i
\(629\) −53.6947 10.6805i −2.14095 0.425861i
\(630\) −9.56817 3.37208i −0.381205 0.134347i
\(631\) 2.10945 + 5.09266i 0.0839759 + 0.202736i 0.960290 0.279005i \(-0.0900046\pi\)
−0.876314 + 0.481741i \(0.840005\pi\)
\(632\) 35.4225 12.4626i 1.40903 0.495736i
\(633\) −19.6647 + 16.6106i −0.781602 + 0.660214i
\(634\) −31.7807 34.4270i −1.26217 1.36727i
\(635\) −1.18270 + 2.39828i −0.0469340 + 0.0951727i
\(636\) −21.3437 9.67757i −0.846333 0.383740i
\(637\) −15.1320 + 44.5774i −0.599551 + 1.76622i
\(638\) 0.0483191 0.00123245i 0.00191297 4.87930e-5i
\(639\) 8.97967 19.5908i 0.355230 0.775000i
\(640\) −4.89486 5.07274i −0.193486 0.200517i
\(641\) 15.8168 + 9.13185i 0.624727 + 0.360686i 0.778707 0.627388i \(-0.215876\pi\)
−0.153980 + 0.988074i \(0.549209\pi\)
\(642\) 14.3835 1.04330i 0.567673 0.0411757i
\(643\) 4.86563 4.26704i 0.191882 0.168276i −0.558015 0.829831i \(-0.688437\pi\)
0.749896 + 0.661555i \(0.230103\pi\)
\(644\) 11.9108 + 18.3957i 0.469352 + 0.724893i
\(645\) 3.45914 + 1.50856i 0.136204 + 0.0593996i
\(646\) −49.2896 15.3415i −1.93927 0.603604i
\(647\) −19.3532 8.01634i −0.760851 0.315155i −0.0316909 0.999498i \(-0.510089\pi\)
−0.729160 + 0.684343i \(0.760089\pi\)
\(648\) 0.0592939 + 25.4558i 0.00232928 + 0.999997i
\(649\) 0.102446 0.0424345i 0.00402136 0.00166570i
\(650\) 3.60832 + 39.5639i 0.141530 + 1.55182i
\(651\) −12.4785 31.7801i −0.489072 1.24556i
\(652\) 25.6975 + 26.4510i 1.00639 + 1.03590i
\(653\) 0.921542 14.0600i 0.0360627 0.550211i −0.941155 0.337974i \(-0.890258\pi\)
0.977218 0.212237i \(-0.0680749\pi\)
\(654\) 12.7317 + 4.22328i 0.497849 + 0.165143i
\(655\) −1.88163 7.02234i −0.0735214 0.274385i
\(656\) 39.3635 21.2344i 1.53689 0.829064i
\(657\) −9.04412 24.3513i −0.352845 0.950035i
\(658\) 24.3259 10.8108i 0.948321 0.421449i
\(659\) −4.24105 + 2.09145i −0.165208 + 0.0814714i −0.523013 0.852325i \(-0.675192\pi\)
0.357805 + 0.933796i \(0.383525\pi\)
\(660\) −0.0152462 0.0924985i −0.000593459 0.00360050i
\(661\) −0.548222 1.61501i −0.0213234 0.0628166i 0.935747 0.352671i \(-0.114726\pi\)
−0.957071 + 0.289854i \(0.906393\pi\)
\(662\) 31.4412 11.5750i 1.22200 0.449875i
\(663\) −69.2978 5.83427i −2.69131 0.226584i
\(664\) −2.15995 3.64743i −0.0838221 0.141548i
\(665\) −12.2341 5.06752i −0.474417 0.196510i
\(666\) 1.89716 + 35.1872i 0.0735135 + 1.36348i
\(667\) −1.24823 1.86811i −0.0483318 0.0723336i
\(668\) −10.4670 12.2891i −0.404981 0.475478i
\(669\) −6.18924 24.9395i −0.239290 0.964215i
\(670\) −0.111274 0.0267944i −0.00429889 0.00103516i
\(671\) 0.217051 0.125314i 0.00837916 0.00483771i
\(672\) −32.9689 + 18.0821i −1.27180 + 0.697534i
\(673\) −2.97026 1.71488i −0.114495 0.0661038i 0.441659 0.897183i \(-0.354390\pi\)
−0.556154 + 0.831079i \(0.687724\pi\)
\(674\) 25.2517 + 23.9956i 0.972661 + 0.924276i
\(675\) −4.44403 + 23.5478i −0.171051 + 0.906356i
\(676\) 20.6955 + 43.5411i 0.795980 + 1.67466i
\(677\) −5.40387 + 0.354188i −0.207688 + 0.0136126i −0.168892 0.985635i \(-0.554019\pi\)
−0.0387958 + 0.999247i \(0.512352\pi\)
\(678\) −34.1919 + 0.237895i −1.31313 + 0.00913632i
\(679\) 0.855439 + 6.49770i 0.0328287 + 0.249359i
\(680\) 10.6822 4.56366i 0.409642 0.175009i
\(681\) −10.2783 + 4.83385i −0.393863 + 0.185234i
\(682\) 0.201906 0.242430i 0.00773137 0.00928313i
\(683\) −14.1160 2.80784i −0.540132 0.107439i −0.0825174 0.996590i \(-0.526296\pi\)
−0.457614 + 0.889151i \(0.651296\pi\)
\(684\) −1.71159 + 33.1829i −0.0654443 + 1.26878i
\(685\) −6.68417 4.46622i −0.255389 0.170645i
\(686\) −3.93070 0.415832i −0.150075 0.0158765i
\(687\) −11.0653 + 3.52872i −0.422166 + 0.134629i
\(688\) 12.7184 5.82143i 0.484885 0.221940i
\(689\) −39.8049 10.6657i −1.51644 0.406330i
\(690\) −3.25618 + 2.89592i −0.123961 + 0.110246i
\(691\) 39.2103 19.3364i 1.49163 0.735591i 0.500162 0.865932i \(-0.333274\pi\)
0.991469 + 0.130340i \(0.0416070\pi\)
\(692\) −5.58807 + 9.36374i −0.212427 + 0.355956i
\(693\) −0.497434 0.0511847i −0.0188960 0.00194434i
\(694\) −15.2399 21.5951i −0.578499 0.819737i
\(695\) −1.29064 + 9.80338i −0.0489567 + 0.371863i
\(696\) 3.35288 1.90244i 0.127091 0.0721119i
\(697\) 9.61997 + 73.0709i 0.364382 + 2.76776i
\(698\) −0.431241 0.467150i −0.0163227 0.0176819i
\(699\) −4.74566 + 10.8818i −0.179497 + 0.411588i
\(700\) −33.6800 + 10.8927i −1.27298 + 0.411707i
\(701\) 6.48064 + 32.5804i 0.244770 + 1.23054i 0.886179 + 0.463343i \(0.153350\pi\)
−0.641409 + 0.767199i \(0.721650\pi\)
\(702\) 7.40617 + 44.1452i 0.279528 + 1.66615i
\(703\) 45.9959i 1.73477i
\(704\) −0.293106 0.186610i −0.0110468 0.00703313i
\(705\) 2.85862 + 4.45489i 0.107662 + 0.167781i
\(706\) −12.5507 + 7.67937i −0.472352 + 0.289017i
\(707\) −45.2425 51.5892i −1.70152 1.94021i
\(708\) 5.61234 6.83495i 0.210925 0.256873i
\(709\) 19.8628 1.30188i 0.745964 0.0488931i 0.312320 0.949977i \(-0.398894\pi\)
0.433645 + 0.901084i \(0.357227\pi\)
\(710\) 1.39279 + 6.17474i 0.0522707 + 0.231734i
\(711\) 38.8274 8.87489i 1.45614 0.332834i
\(712\) 11.8511 36.2226i 0.444138 1.35750i
\(713\) −14.5399 1.91421i −0.544522 0.0716877i
\(714\) −8.51498 61.3749i −0.318665 2.29690i
\(715\) −0.0529881 0.156098i −0.00198164 0.00583773i
\(716\) 9.58109 + 0.138438i 0.358062 + 0.00517368i
\(717\) 18.3966 10.1712i 0.687034 0.379851i
\(718\) −7.43933 + 6.01589i −0.277633 + 0.224511i
\(719\) 31.7595 + 31.7595i 1.18443 + 1.18443i 0.978585 + 0.205844i \(0.0659941\pi\)
0.205844 + 0.978585i \(0.434006\pi\)
\(720\) −4.54848 5.93424i −0.169512 0.221156i
\(721\) 31.2158 31.2158i 1.16254 1.16254i
\(722\) −1.73593 + 16.4091i −0.0646045 + 0.610682i
\(723\) 23.2830 38.6539i 0.865903 1.43755i
\(724\) −25.2896 + 10.0497i −0.939880 + 0.373495i
\(725\) 3.43642 1.16651i 0.127625 0.0433230i
\(726\) 10.4823 + 24.8168i 0.389035 + 0.921037i
\(727\) 2.83811 21.5576i 0.105260 0.799528i −0.854647 0.519209i \(-0.826227\pi\)
0.959907 0.280319i \(-0.0904401\pi\)
\(728\) −52.0087 + 40.8288i −1.92757 + 1.51322i
\(729\) −2.99783 + 26.8331i −0.111031 + 0.993817i
\(730\) 6.45000 + 4.07577i 0.238725 + 0.150851i
\(731\) 1.50749 + 22.9998i 0.0557565 + 0.850680i
\(732\) 10.5602 16.9721i 0.390316 0.627307i
\(733\) −20.7578 + 18.2041i −0.766708 + 0.672385i −0.950550 0.310571i \(-0.899480\pi\)
0.183842 + 0.982956i \(0.441146\pi\)
\(734\) −27.5302 6.62919i −1.01616 0.244688i
\(735\) −0.391072 8.33115i −0.0144249 0.307299i
\(736\) −0.0548397 + 16.1514i −0.00202142 + 0.595347i
\(737\) −0.00564162 −0.000207812
\(738\) 44.0351 17.6450i 1.62095 0.649523i
\(739\) −1.08392 + 0.215605i −0.0398726 + 0.00793115i −0.214986 0.976617i \(-0.568971\pi\)
0.175114 + 0.984548i \(0.443971\pi\)
\(740\) −6.71122 7.87947i −0.246709 0.289655i
\(741\) 6.55087 + 58.0588i 0.240652 + 2.13284i
\(742\) 1.46642 36.6879i 0.0538341 1.34685i
\(743\) 11.6132 1.52891i 0.426048 0.0560903i 0.0855465 0.996334i \(-0.472736\pi\)
0.340502 + 0.940244i \(0.389403\pi\)
\(744\) 5.09376 24.6419i 0.186746 0.903417i
\(745\) 3.28820 + 0.432899i 0.120470 + 0.0158602i
\(746\) 11.6574 + 2.01126i 0.426808 + 0.0736375i
\(747\) −1.83771 4.10342i −0.0672382 0.150136i
\(748\) 0.459245 0.341964i 0.0167916 0.0125034i
\(749\) 9.99335 + 20.2645i 0.365149 + 0.740449i
\(750\) −6.57959 13.1113i −0.240253 0.478758i
\(751\) 0.445509 1.66266i 0.0162569 0.0606714i −0.957321 0.289027i \(-0.906668\pi\)
0.973578 + 0.228356i \(0.0733349\pi\)
\(752\) 19.3690 + 3.12171i 0.706316 + 0.113837i
\(753\) 19.6324 + 4.28503i 0.715444 + 0.156155i
\(754\) 5.27096 4.26242i 0.191957 0.155228i
\(755\) −6.88501 + 10.3041i −0.250571 + 0.375006i
\(756\) −36.9173 + 15.0919i −1.34267 + 0.548886i
\(757\) −9.45043 + 47.5105i −0.343482 + 1.72680i 0.293534 + 0.955949i \(0.405169\pi\)
−0.637016 + 0.770851i \(0.719831\pi\)
\(758\) −5.01063 + 0.456981i −0.181994 + 0.0165983i
\(759\) −0.122624 + 0.176352i −0.00445098 + 0.00640116i
\(760\) −5.51141 8.05426i −0.199920 0.292159i
\(761\) 10.5048 1.38299i 0.380800 0.0501333i 0.0623034 0.998057i \(-0.480155\pi\)
0.318497 + 0.947924i \(0.396822\pi\)
\(762\) 2.79141 + 10.1351i 0.101122 + 0.367155i
\(763\) 1.37453 + 20.9713i 0.0497613 + 0.759210i
\(764\) 12.8534 0.656114i 0.465019 0.0237374i
\(765\) 11.8058 3.52509i 0.426839 0.127450i
\(766\) −0.727355 28.5166i −0.0262804 1.03035i
\(767\) 7.77567 13.4679i 0.280763 0.486296i
\(768\) −27.6321 2.11342i −0.997088 0.0762616i
\(769\) −8.65779 14.9957i −0.312208 0.540760i 0.666632 0.745387i \(-0.267735\pi\)
−0.978840 + 0.204627i \(0.934402\pi\)
\(770\) 0.125286 0.0766583i 0.00451499 0.00276257i