Properties

Label 503.2.c.a.2.10
Level $503$
Weight $2$
Character 503.2
Analytic conductor $4.016$
Analytic rank $0$
Dimension $10250$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 503 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 503.c (of order \(251\), degree \(250\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.01647522167\)
Analytic rank: \(0\)
Dimension: \(10250\)
Relative dimension: \(41\) over \(\Q(\zeta_{251})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{251}]$

Embedding invariants

Embedding label 2.10
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.994976 - 1.22503i) q^{2} +(-1.98352 + 1.71676i) q^{3} +(-0.100616 + 0.480254i) q^{4} +(-1.27158 - 4.01588i) q^{5} +(4.07664 + 0.721744i) q^{6} +(1.44819 - 4.20490i) q^{7} +(-2.11761 + 1.09069i) q^{8} +(0.556781 - 3.84146i) q^{9} +O(q^{10})\) \(q+(-0.994976 - 1.22503i) q^{2} +(-1.98352 + 1.71676i) q^{3} +(-0.100616 + 0.480254i) q^{4} +(-1.27158 - 4.01588i) q^{5} +(4.07664 + 0.721744i) q^{6} +(1.44819 - 4.20490i) q^{7} +(-2.11761 + 1.09069i) q^{8} +(0.556781 - 3.84146i) q^{9} +(-3.65440 + 5.55343i) q^{10} +(0.114889 - 0.0371709i) q^{11} +(-0.624904 - 1.12533i) q^{12} +(3.46878 - 1.17043i) q^{13} +(-6.59206 + 2.40970i) q^{14} +(9.41649 + 5.78260i) q^{15} +(4.34194 + 1.90284i) q^{16} +(-0.419893 - 0.209661i) q^{17} +(-5.25989 + 3.14009i) q^{18} +(-2.54124 - 5.70132i) q^{19} +(2.05658 - 0.206618i) q^{20} +(4.34627 + 10.8267i) q^{21} +(-0.159848 - 0.103759i) q^{22} +(1.36173 - 4.70690i) q^{23} +(2.32788 - 5.79883i) q^{24} +(-10.4217 + 7.33518i) q^{25} +(-4.88517 - 3.08481i) q^{26} +(1.24701 + 1.94769i) q^{27} +(1.87371 + 1.11858i) q^{28} +(-0.296587 + 2.48256i) q^{29} +(-2.28532 - 17.2891i) q^{30} +(0.314516 + 3.85739i) q^{31} +(-0.722505 - 2.61976i) q^{32} +(-0.164072 + 0.270966i) q^{33} +(0.160942 + 0.722990i) q^{34} +(-18.7279 - 0.468906i) q^{35} +(1.78885 + 0.653909i) q^{36} +(2.57013 + 3.24659i) q^{37} +(-4.45582 + 8.78578i) q^{38} +(-4.87104 + 8.27662i) q^{39} +(7.07279 + 7.11719i) q^{40} +(-0.941818 + 4.79360i) q^{41} +(8.93861 - 16.0966i) q^{42} +(0.353129 - 1.92435i) q^{43} +(0.00629175 + 0.0589160i) q^{44} +(-16.1349 + 2.64875i) q^{45} +(-7.12099 + 3.01509i) q^{46} +(-12.5580 + 0.471759i) q^{47} +(-11.8790 + 3.67971i) q^{48} +(-10.0685 - 7.86862i) q^{49} +(19.3551 + 5.46852i) q^{50} +(1.19280 - 0.304987i) q^{51} +(0.213091 + 1.78366i) q^{52} +(2.81691 - 6.31978i) q^{53} +(1.14523 - 3.46553i) q^{54} +(-0.295365 - 0.414117i) q^{55} +(1.51953 + 10.4839i) q^{56} +(14.8284 + 6.94599i) q^{57} +(3.33631 - 2.10676i) q^{58} +(0.698148 - 1.67805i) q^{59} +(-3.72457 + 3.94048i) q^{60} +(4.97693 + 8.21943i) q^{61} +(4.41249 - 4.22330i) q^{62} +(-15.3467 - 7.90438i) q^{63} +(3.01507 - 4.22728i) q^{64} +(-9.11115 - 12.4419i) q^{65} +(0.495190 - 0.0686115i) q^{66} +(10.5807 - 6.49752i) q^{67} +(0.142938 - 0.180560i) q^{68} +(5.37957 + 11.6740i) q^{69} +(18.0594 + 23.4088i) q^{70} +(2.23981 + 14.1991i) q^{71} +(3.01079 + 8.74200i) q^{72} +(4.23387 + 4.05235i) q^{73} +(1.41996 - 6.37878i) q^{74} +(8.07884 - 32.4409i) q^{75} +(2.99377 - 0.646796i) q^{76} +(0.0100817 - 0.536929i) q^{77} +(14.9857 - 2.26787i) q^{78} +(-0.436680 - 7.74488i) q^{79} +(2.12049 - 19.8563i) q^{80} +(5.34844 + 1.58367i) q^{81} +(6.80940 - 3.61577i) q^{82} +(-3.77782 - 7.22337i) q^{83} +(-5.63687 + 0.997974i) q^{84} +(-0.308047 + 1.95284i) q^{85} +(-2.70875 + 1.48209i) q^{86} +(-3.67366 - 5.43337i) q^{87} +(-0.202749 + 0.204022i) q^{88} +(2.51405 + 9.58219i) q^{89} +(19.2986 + 17.1303i) q^{90} +(0.101890 - 16.2809i) q^{91} +(2.12349 + 1.12757i) q^{92} +(-7.24604 - 7.11126i) q^{93} +(13.0728 + 14.9145i) q^{94} +(-19.6644 + 17.4550i) q^{95} +(5.93060 + 3.95599i) q^{96} +(-0.660930 - 2.80315i) q^{97} +(0.378599 + 20.1633i) q^{98} +(-0.0788224 - 0.462039i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} + O(q^{10}) \) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} - 233q^{10} - 239q^{11} - 239q^{12} - 245q^{13} - 223q^{14} - 231q^{15} - 263q^{16} - 243q^{17} - 217q^{18} - 229q^{19} - 195q^{20} - 215q^{21} - 233q^{22} - 241q^{23} - 181q^{24} - 280q^{25} - 215q^{26} - 237q^{27} - 185q^{28} - 217q^{29} - 159q^{30} - 219q^{31} - 185q^{32} - 209q^{33} - 167q^{34} - 187q^{35} - 203q^{36} - 237q^{37} - 161q^{38} - 197q^{39} - 135q^{40} - 209q^{41} - 117q^{42} - 221q^{43} - 147q^{44} - 167q^{45} - 167q^{46} - 195q^{47} - 141q^{48} - 234q^{49} - 145q^{50} - 177q^{51} - 179q^{52} - 211q^{53} - 83q^{54} - 165q^{55} - 125q^{56} - 177q^{57} - 205q^{58} - 189q^{59} - 27q^{60} - 193q^{61} - 143q^{62} - 159q^{63} - 185q^{64} - 155q^{65} - 97q^{66} - 201q^{67} - 155q^{68} - 113q^{69} - 123q^{70} - 153q^{71} - 21q^{72} - 213q^{73} - 83q^{74} - 161q^{75} - 97q^{76} - 139q^{77} - 43q^{78} - 191q^{79} + 3q^{80} - 188q^{81} - 97q^{82} - 161q^{83} + 67q^{84} - 159q^{85} - 121q^{86} - 121q^{87} - 143q^{88} - 155q^{89} + 115q^{90} - 137q^{91} - 119q^{92} - 123q^{93} - 99q^{94} - 181q^{95} + 67q^{96} - 229q^{97} - 63q^{98} - 85q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/503\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{101}{251}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.994976 1.22503i −0.703555 0.866228i 0.292381 0.956302i \(-0.405553\pi\)
−0.995935 + 0.0900739i \(0.971290\pi\)
\(3\) −1.98352 + 1.71676i −1.14519 + 0.991169i −0.145188 + 0.989404i \(0.546379\pi\)
−0.999998 + 0.00176497i \(0.999438\pi\)
\(4\) −0.100616 + 0.480254i −0.0503080 + 0.240127i
\(5\) −1.27158 4.01588i −0.568667 1.79596i −0.604506 0.796601i \(-0.706629\pi\)
0.0358388 0.999358i \(-0.488590\pi\)
\(6\) 4.07664 + 0.721744i 1.66428 + 0.294651i
\(7\) 1.44819 4.20490i 0.547365 1.58930i −0.238656 0.971104i \(-0.576707\pi\)
0.786021 0.618200i \(-0.212138\pi\)
\(8\) −2.11761 + 1.09069i −0.748689 + 0.385617i
\(9\) 0.556781 3.84146i 0.185594 1.28049i
\(10\) −3.65440 + 5.55343i −1.15562 + 1.75615i
\(11\) 0.114889 0.0371709i 0.0346405 0.0112075i −0.290455 0.956889i \(-0.593807\pi\)
0.325096 + 0.945681i \(0.394604\pi\)
\(12\) −0.624904 1.12533i −0.180394 0.324854i
\(13\) 3.46878 1.17043i 0.962066 0.324620i 0.205587 0.978639i \(-0.434089\pi\)
0.756479 + 0.654019i \(0.226918\pi\)
\(14\) −6.59206 + 2.40970i −1.76180 + 0.644019i
\(15\) 9.41649 + 5.78260i 2.43133 + 1.49306i
\(16\) 4.34194 + 1.90284i 1.08548 + 0.475711i
\(17\) −0.419893 0.209661i −0.101839 0.0508502i 0.395083 0.918645i \(-0.370716\pi\)
−0.496922 + 0.867795i \(0.665537\pi\)
\(18\) −5.25989 + 3.14009i −1.23977 + 0.740126i
\(19\) −2.54124 5.70132i −0.583001 1.30797i −0.929119 0.369781i \(-0.879433\pi\)
0.346118 0.938191i \(-0.387500\pi\)
\(20\) 2.05658 0.206618i 0.459866 0.0462011i
\(21\) 4.34627 + 10.8267i 0.948435 + 2.36258i
\(22\) −0.159848 0.103759i −0.0340797 0.0221215i
\(23\) 1.36173 4.70690i 0.283941 0.981456i −0.683834 0.729638i \(-0.739689\pi\)
0.967774 0.251818i \(-0.0810286\pi\)
\(24\) 2.32788 5.79883i 0.475177 1.18368i
\(25\) −10.4217 + 7.33518i −2.08433 + 1.46704i
\(26\) −4.88517 3.08481i −0.958061 0.604981i
\(27\) 1.24701 + 1.94769i 0.239987 + 0.374833i
\(28\) 1.87371 + 1.11858i 0.354098 + 0.211392i
\(29\) −0.296587 + 2.48256i −0.0550749 + 0.460999i 0.938277 + 0.345884i \(0.112421\pi\)
−0.993352 + 0.115115i \(0.963276\pi\)
\(30\) −2.28532 17.2891i −0.417240 3.15653i
\(31\) 0.314516 + 3.85739i 0.0564887 + 0.692807i 0.962803 + 0.270204i \(0.0870910\pi\)
−0.906315 + 0.422604i \(0.861116\pi\)
\(32\) −0.722505 2.61976i −0.127722 0.463113i
\(33\) −0.164072 + 0.270966i −0.0285613 + 0.0471692i
\(34\) 0.160942 + 0.722990i 0.0276014 + 0.123992i
\(35\) −18.7279 0.468906i −3.16559 0.0792596i
\(36\) 1.78885 + 0.653909i 0.298142 + 0.108985i
\(37\) 2.57013 + 3.24659i 0.422527 + 0.533737i 0.948505 0.316761i \(-0.102595\pi\)
−0.525978 + 0.850498i \(0.676301\pi\)
\(38\) −4.45582 + 8.78578i −0.722829 + 1.42524i
\(39\) −4.87104 + 8.27662i −0.779991 + 1.32532i
\(40\) 7.07279 + 7.11719i 1.11831 + 1.12533i
\(41\) −0.941818 + 4.79360i −0.147087 + 0.748635i 0.833495 + 0.552527i \(0.186336\pi\)
−0.980582 + 0.196108i \(0.937170\pi\)
\(42\) 8.93861 16.0966i 1.37926 2.48376i
\(43\) 0.353129 1.92435i 0.0538517 0.293461i −0.945644 0.325202i \(-0.894568\pi\)
0.999496 + 0.0317417i \(0.0101054\pi\)
\(44\) 0.00629175 + 0.0589160i 0.000948517 + 0.00888193i
\(45\) −16.1349 + 2.64875i −2.40524 + 0.394852i
\(46\) −7.12099 + 3.01509i −1.04993 + 0.444551i
\(47\) −12.5580 + 0.471759i −1.83177 + 0.0688132i −0.930898 0.365280i \(-0.880973\pi\)
−0.900868 + 0.434093i \(0.857069\pi\)
\(48\) −11.8790 + 3.67971i −1.71459 + 0.531120i
\(49\) −10.0685 7.86862i −1.43835 1.12409i
\(50\) 19.3551 + 5.46852i 2.73723 + 0.773365i
\(51\) 1.19280 0.304987i 0.167026 0.0427067i
\(52\) 0.213091 + 1.78366i 0.0295504 + 0.247349i
\(53\) 2.81691 6.31978i 0.386932 0.868088i −0.610189 0.792256i \(-0.708906\pi\)
0.997121 0.0758320i \(-0.0241613\pi\)
\(54\) 1.14523 3.46553i 0.155846 0.471599i
\(55\) −0.295365 0.414117i −0.0398270 0.0558395i
\(56\) 1.51953 + 10.4839i 0.203056 + 1.40097i
\(57\) 14.8284 + 6.94599i 1.96407 + 0.920019i
\(58\) 3.33631 2.10676i 0.438079 0.276631i
\(59\) 0.698148 1.67805i 0.0908911 0.218463i −0.871350 0.490662i \(-0.836755\pi\)
0.962241 + 0.272199i \(0.0877509\pi\)
\(60\) −3.72457 + 3.94048i −0.480839 + 0.508714i
\(61\) 4.97693 + 8.21943i 0.637230 + 1.05239i 0.993034 + 0.117829i \(0.0375936\pi\)
−0.355804 + 0.934561i \(0.615793\pi\)
\(62\) 4.41249 4.22330i 0.560386 0.536360i
\(63\) −15.3467 7.90438i −1.93350 0.995858i
\(64\) 3.01507 4.22728i 0.376883 0.528410i
\(65\) −9.11115 12.4419i −1.13010 1.54323i
\(66\) 0.495190 0.0686115i 0.0609537 0.00844549i
\(67\) 10.5807 6.49752i 1.29264 0.793799i 0.305272 0.952265i \(-0.401252\pi\)
0.987364 + 0.158466i \(0.0506548\pi\)
\(68\) 0.142938 0.180560i 0.0173338 0.0218961i
\(69\) 5.37957 + 11.6740i 0.647624 + 1.40538i
\(70\) 18.0594 + 23.4088i 2.15851 + 2.79789i
\(71\) 2.23981 + 14.1991i 0.265817 + 1.68513i 0.648474 + 0.761237i \(0.275407\pi\)
−0.382657 + 0.923890i \(0.624991\pi\)
\(72\) 3.01079 + 8.74200i 0.354825 + 1.03025i
\(73\) 4.23387 + 4.05235i 0.495538 + 0.474291i 0.897280 0.441461i \(-0.145540\pi\)
−0.401743 + 0.915753i \(0.631595\pi\)
\(74\) 1.41996 6.37878i 0.165067 0.741518i
\(75\) 8.07884 32.4409i 0.932864 3.74595i
\(76\) 2.99377 0.646796i 0.343409 0.0741926i
\(77\) 0.0100817 0.536929i 0.00114892 0.0611888i
\(78\) 14.9857 2.26787i 1.69680 0.256785i
\(79\) −0.436680 7.74488i −0.0491303 0.871367i −0.922903 0.385033i \(-0.874190\pi\)
0.873773 0.486335i \(-0.161666\pi\)
\(80\) 2.12049 19.8563i 0.237078 2.22001i
\(81\) 5.34844 + 1.58367i 0.594271 + 0.175964i
\(82\) 6.80940 3.61577i 0.751973 0.399294i
\(83\) −3.77782 7.22337i −0.414670 0.792868i 0.585167 0.810913i \(-0.301029\pi\)
−0.999837 + 0.0180445i \(0.994256\pi\)
\(84\) −5.63687 + 0.997974i −0.615033 + 0.108888i
\(85\) −0.308047 + 1.95284i −0.0334124 + 0.211816i
\(86\) −2.70875 + 1.48209i −0.292092 + 0.159818i
\(87\) −3.67366 5.43337i −0.393857 0.582519i
\(88\) −0.202749 + 0.204022i −0.0216132 + 0.0217488i
\(89\) 2.51405 + 9.58219i 0.266489 + 1.01571i 0.956458 + 0.291871i \(0.0942776\pi\)
−0.689969 + 0.723839i \(0.742376\pi\)
\(90\) 19.2986 + 17.1303i 2.03425 + 1.80569i
\(91\) 0.101890 16.2809i 0.0106809 1.70670i
\(92\) 2.12349 + 1.12757i 0.221390 + 0.117557i
\(93\) −7.24604 7.11126i −0.751379 0.737403i
\(94\) 13.0728 + 14.9145i 1.34835 + 1.53831i
\(95\) −19.6644 + 17.4550i −2.01753 + 1.79085i
\(96\) 5.93060 + 3.95599i 0.605289 + 0.403757i
\(97\) −0.660930 2.80315i −0.0671072 0.284617i 0.929298 0.369330i \(-0.120413\pi\)
−0.996405 + 0.0847132i \(0.973003\pi\)
\(98\) 0.378599 + 20.1633i 0.0382443 + 2.03680i
\(99\) −0.0788224 0.462039i −0.00792195 0.0464367i
\(100\) −2.47416 5.74307i −0.247416 0.574307i
\(101\) 2.35203 0.927150i 0.234036 0.0922549i −0.246797 0.969067i \(-0.579378\pi\)
0.480833 + 0.876812i \(0.340334\pi\)
\(102\) −1.56043 1.15777i −0.154506 0.114636i
\(103\) 7.80176 1.58361i 0.768730 0.156038i 0.201378 0.979514i \(-0.435458\pi\)
0.567352 + 0.823476i \(0.307968\pi\)
\(104\) −6.06895 + 6.26188i −0.595109 + 0.614028i
\(105\) 37.9522 31.2211i 3.70375 3.04687i
\(106\) −10.5447 + 2.83723i −1.02419 + 0.275576i
\(107\) −10.4626 0.393045i −1.01146 0.0379971i −0.473352 0.880873i \(-0.656956\pi\)
−0.538108 + 0.842876i \(0.680861\pi\)
\(108\) −1.06085 + 0.402913i −0.102081 + 0.0387703i
\(109\) 6.71746 + 7.10688i 0.643416 + 0.680715i 0.963816 0.266567i \(-0.0858893\pi\)
−0.320401 + 0.947282i \(0.603818\pi\)
\(110\) −0.213425 + 0.773868i −0.0203493 + 0.0737854i
\(111\) −10.6715 2.02740i −1.01290 0.192432i
\(112\) 14.2892 15.5017i 1.35021 1.46478i
\(113\) 0.723862 + 1.47268i 0.0680952 + 0.138539i 0.928819 0.370534i \(-0.120825\pi\)
−0.860724 + 0.509072i \(0.829989\pi\)
\(114\) −6.24482 25.0763i −0.584881 2.34861i
\(115\) −20.6339 + 0.516629i −1.92412 + 0.0481759i
\(116\) −1.16242 0.392222i −0.107928 0.0364169i
\(117\) −2.56483 13.9769i −0.237119 1.29216i
\(118\) −2.75030 + 0.814364i −0.253186 + 0.0749683i
\(119\) −1.48969 + 1.46198i −0.136560 + 0.134020i
\(120\) −26.2475 1.97484i −2.39606 0.180278i
\(121\) −8.90353 + 6.43480i −0.809411 + 0.584982i
\(122\) 5.11714 14.2750i 0.463284 1.29240i
\(123\) −6.36133 11.1251i −0.573582 1.00311i
\(124\) −1.88417 0.237068i −0.169203 0.0212893i
\(125\) 25.9529 + 19.7643i 2.32130 + 1.76777i
\(126\) 5.58644 + 26.6648i 0.497679 + 2.37549i
\(127\) −2.33759 + 1.31729i −0.207428 + 0.116891i −0.591163 0.806552i \(-0.701331\pi\)
0.383735 + 0.923443i \(0.374638\pi\)
\(128\) −13.6030 + 0.852407i −1.20234 + 0.0753429i
\(129\) 2.60320 + 4.42322i 0.229199 + 0.389443i
\(130\) −6.17635 + 23.5409i −0.541702 + 2.06467i
\(131\) 15.9436 10.6352i 1.39300 0.929198i 0.393048 0.919518i \(-0.371421\pi\)
0.999953 0.00968029i \(-0.00308138\pi\)
\(132\) −0.113624 0.106060i −0.00988972 0.00923132i
\(133\) −27.6537 + 2.42907i −2.39788 + 0.210627i
\(134\) −18.4872 6.49679i −1.59705 0.561238i
\(135\) 6.23602 7.48449i 0.536711 0.644162i
\(136\) 1.11785 0.0139920i 0.0958545 0.00119981i
\(137\) −2.19770 5.67913i −0.187762 0.485200i 0.806617 0.591074i \(-0.201296\pi\)
−0.994380 + 0.105874i \(0.966236\pi\)
\(138\) 8.94847 18.2055i 0.761744 1.54975i
\(139\) −15.5556 3.36074i −1.31941 0.285055i −0.503880 0.863774i \(-0.668095\pi\)
−0.815527 + 0.578719i \(0.803553\pi\)
\(140\) 2.10952 8.94696i 0.178287 0.756156i
\(141\) 24.0991 22.4947i 2.02951 1.89439i
\(142\) 15.1658 16.8716i 1.27269 1.41584i
\(143\) 0.355020 0.263408i 0.0296882 0.0220273i
\(144\) 9.72721 15.6199i 0.810601 1.30166i
\(145\) 10.3468 1.96571i 0.859255 0.163243i
\(146\) 0.751649 9.21862i 0.0622069 0.762938i
\(147\) 33.4795 1.67756i 2.76134 0.138363i
\(148\) −1.81779 + 0.907656i −0.149421 + 0.0746089i
\(149\) 2.54942 3.98190i 0.208857 0.326210i −0.721801 0.692100i \(-0.756686\pi\)
0.930658 + 0.365890i \(0.119235\pi\)
\(150\) −47.7794 + 22.3811i −3.90117 + 1.82741i
\(151\) 10.1195 + 15.3781i 0.823510 + 1.25145i 0.965192 + 0.261543i \(0.0842312\pi\)
−0.141681 + 0.989912i \(0.545251\pi\)
\(152\) 11.5997 + 9.30148i 0.940862 + 0.754450i
\(153\) −1.03919 + 1.49627i −0.0840138 + 0.120966i
\(154\) −0.667787 + 0.521882i −0.0538118 + 0.0420544i
\(155\) 15.0909 6.16803i 1.21213 0.495428i
\(156\) −3.48477 3.17210i −0.279005 0.253971i
\(157\) 2.75239 5.78137i 0.219665 0.461404i −0.763096 0.646285i \(-0.776322\pi\)
0.982761 + 0.184881i \(0.0591901\pi\)
\(158\) −9.05324 + 8.24092i −0.720237 + 0.655613i
\(159\) 5.26212 + 17.3713i 0.417313 + 1.37764i
\(160\) −9.60195 + 6.23273i −0.759101 + 0.492741i
\(161\) −17.8200 12.5424i −1.40441 0.988484i
\(162\) −3.38152 8.12772i −0.265677 0.638574i
\(163\) −0.109468 0.0415759i −0.00857417 0.00325648i 0.350764 0.936464i \(-0.385922\pi\)
−0.359338 + 0.933207i \(0.616998\pi\)
\(164\) −2.20738 0.934625i −0.172368 0.0729819i
\(165\) 1.29680 + 0.314340i 0.100956 + 0.0244713i
\(166\) −5.09002 + 11.8150i −0.395062 + 0.917025i
\(167\) 0.107071 3.42070i 0.00828542 0.264702i −0.986566 0.163361i \(-0.947766\pi\)
0.994852 0.101341i \(-0.0323132\pi\)
\(168\) −21.0123 18.1863i −1.62113 1.40311i
\(169\) 0.320091 0.243763i 0.0246224 0.0187510i
\(170\) 2.69879 1.56566i 0.206988 0.120081i
\(171\) −23.3163 + 6.58769i −1.78304 + 0.503774i
\(172\) 0.888646 + 0.363212i 0.0677586 + 0.0276947i
\(173\) −10.1550 21.3305i −0.772070 1.62173i −0.783186 0.621787i \(-0.786407\pi\)
0.0111156 0.999938i \(-0.496462\pi\)
\(174\) −3.00085 + 9.90642i −0.227494 + 0.751004i
\(175\) 15.7512 + 54.4448i 1.19068 + 4.11564i
\(176\) 0.569573 + 0.0572230i 0.0429332 + 0.00431334i
\(177\) 1.49601 + 4.52699i 0.112447 + 0.340269i
\(178\) 9.23706 12.6138i 0.692347 0.945448i
\(179\) −2.20740 + 4.09501i −0.164989 + 0.306076i −0.949345 0.314234i \(-0.898252\pi\)
0.784357 + 0.620310i \(0.212993\pi\)
\(180\) 0.351353 8.01533i 0.0261883 0.597427i
\(181\) −1.81041 26.2574i −0.134567 1.95170i −0.274613 0.961555i \(-0.588550\pi\)
0.140046 0.990145i \(-0.455275\pi\)
\(182\) −20.0460 + 16.0743i −1.48591 + 1.19151i
\(183\) −23.9826 7.75924i −1.77284 0.573580i
\(184\) 2.25014 + 11.4526i 0.165882 + 0.844298i
\(185\) 9.76982 14.4497i 0.718292 1.06236i
\(186\) −1.50188 + 15.9522i −0.110123 + 1.16967i
\(187\) −0.0560346 0.00848001i −0.00409765 0.000620120i
\(188\) 1.03697 6.07847i 0.0756286 0.443318i
\(189\) 9.99575 2.42294i 0.727084 0.176243i
\(190\) 40.9486 + 6.72226i 2.97072 + 0.487684i
\(191\) 1.06702 18.9245i 0.0772069 1.36933i −0.688078 0.725637i \(-0.741545\pi\)
0.765285 0.643692i \(-0.222598\pi\)
\(192\) 1.27676 + 13.5610i 0.0921420 + 0.978682i
\(193\) 5.34147 + 2.92258i 0.384487 + 0.210372i 0.660575 0.750760i \(-0.270313\pi\)
−0.276087 + 0.961133i \(0.589038\pi\)
\(194\) −2.77634 + 3.59873i −0.199330 + 0.258374i
\(195\) 39.4319 + 9.03717i 2.82378 + 0.647165i
\(196\) 4.79198 4.04372i 0.342284 0.288837i
\(197\) 1.48609 0.111812i 0.105880 0.00796631i −0.0219817 0.999758i \(-0.506998\pi\)
0.127861 + 0.991792i \(0.459189\pi\)
\(198\) −0.487586 + 0.556278i −0.0346512 + 0.0395330i
\(199\) −0.101312 16.1886i −0.00718182 1.14758i −0.822570 0.568665i \(-0.807460\pi\)
0.815388 0.578915i \(-0.196524\pi\)
\(200\) 14.0686 26.8998i 0.994801 1.90211i
\(201\) −9.83235 + 31.0524i −0.693521 + 2.19027i
\(202\) −3.47600 1.95882i −0.244571 0.137822i
\(203\) 10.0094 + 4.84234i 0.702522 + 0.339866i
\(204\) 0.0264560 + 0.603535i 0.00185229 + 0.0422559i
\(205\) 20.4482 2.31321i 1.42816 0.161562i
\(206\) −9.70254 7.98174i −0.676008 0.556114i
\(207\) −17.3232 7.85176i −1.20404 0.545735i
\(208\) 17.2884 + 1.51859i 1.19873 + 0.105296i
\(209\) −0.503885 0.560561i −0.0348544 0.0387748i
\(210\) −76.0084 15.4283i −5.24508 1.06465i
\(211\) −15.8448 + 10.8582i −1.09080 + 0.747512i −0.969497 0.245103i \(-0.921178\pi\)
−0.121305 + 0.992615i \(0.538708\pi\)
\(212\) 2.75167 + 1.98870i 0.188985 + 0.136584i
\(213\) −28.8192 24.3191i −1.97466 1.66631i
\(214\) 9.92857 + 13.2081i 0.678703 + 0.902888i
\(215\) −8.17700 + 1.02884i −0.557667 + 0.0701661i
\(216\) −4.76501 2.76435i −0.324218 0.188090i
\(217\) 16.6754 + 4.26373i 1.13200 + 0.289441i
\(218\) 2.02244 15.3003i 0.136977 1.03627i
\(219\) −15.3549 0.769388i −1.03759 0.0519904i
\(220\) 0.228600 0.100183i 0.0154122 0.00675436i
\(221\) −1.70191 0.235810i −0.114483 0.0158623i
\(222\) 8.13428 + 15.0902i 0.545937 + 1.01279i
\(223\) −18.0961 + 8.75451i −1.21180 + 0.586245i −0.927980 0.372631i \(-0.878456\pi\)
−0.283824 + 0.958876i \(0.591603\pi\)
\(224\) −12.0622 0.755857i −0.805939 0.0505028i
\(225\) 22.3752 + 44.1185i 1.49168 + 2.94123i
\(226\) 1.08386 2.35204i 0.0720973 0.156455i
\(227\) 1.82383 0.417993i 0.121052 0.0277432i −0.162435 0.986719i \(-0.551935\pi\)
0.283487 + 0.958976i \(0.408509\pi\)
\(228\) −4.82781 + 6.42250i −0.319729 + 0.425341i
\(229\) −8.32575 + 14.5606i −0.550181 + 0.962190i 0.447510 + 0.894279i \(0.352311\pi\)
−0.997691 + 0.0679115i \(0.978366\pi\)
\(230\) 21.1631 + 24.7632i 1.39546 + 1.63283i
\(231\) 0.901779 + 1.08232i 0.0593327 + 0.0712113i
\(232\) −2.07964 5.58058i −0.136535 0.366383i
\(233\) 21.5168 + 0.269325i 1.40961 + 0.0176441i 0.713684 0.700467i \(-0.247025\pi\)
0.695928 + 0.718112i \(0.254993\pi\)
\(234\) −14.5701 + 17.0486i −0.952480 + 1.11450i
\(235\) 17.8629 + 49.8314i 1.16525 + 3.25064i
\(236\) 0.735643 + 0.504126i 0.0478863 + 0.0328158i
\(237\) 14.1622 + 14.6125i 0.919936 + 0.949181i
\(238\) 3.27318 + 0.370281i 0.212169 + 0.0240017i
\(239\) −0.218309 + 3.16625i −0.0141212 + 0.204808i 0.985301 + 0.170826i \(0.0546436\pi\)
−0.999422 + 0.0339820i \(0.989181\pi\)
\(240\) 29.8824 + 43.0258i 1.92890 + 2.77730i
\(241\) −25.9048 8.02442i −1.66868 0.516898i −0.690265 0.723557i \(-0.742506\pi\)
−0.978413 + 0.206659i \(0.933741\pi\)
\(242\) 16.7416 + 4.50463i 1.07619 + 0.289568i
\(243\) −19.6468 + 8.90492i −1.26034 + 0.571251i
\(244\) −4.44817 + 1.56318i −0.284765 + 0.100072i
\(245\) −18.7966 + 50.4394i −1.20087 + 3.22246i
\(246\) −7.29920 + 18.8620i −0.465380 + 1.20260i
\(247\) −15.4880 16.8023i −0.985479 1.06910i
\(248\) −4.87323 7.82541i −0.309451 0.496914i
\(249\) 19.8942 + 7.84211i 1.26074 + 0.496973i
\(250\) −1.61069 51.4581i −0.101869 3.25450i
\(251\) 0.778633 0.958666i 0.0491469 0.0605105i −0.751063 0.660231i \(-0.770459\pi\)
0.800210 + 0.599720i \(0.204721\pi\)
\(252\) 5.34023 6.57498i 0.336403 0.414185i
\(253\) −0.0185111 0.591390i −0.00116378 0.0371804i
\(254\) 3.93957 + 1.55295i 0.247191 + 0.0974405i
\(255\) −2.74154 4.40234i −0.171682 0.275686i
\(256\) 7.54046 + 8.18030i 0.471279 + 0.511269i
\(257\) 1.86463 4.81842i 0.116312 0.300565i −0.862261 0.506464i \(-0.830952\pi\)
0.978573 + 0.205899i \(0.0660119\pi\)
\(258\) 2.82847 7.59001i 0.176093 0.472533i
\(259\) 17.3737 6.10547i 1.07955 0.379376i
\(260\) 6.89200 3.12381i 0.427424 0.193730i
\(261\) 9.37152 + 2.52157i 0.580082 + 0.156081i
\(262\) −28.8919 8.94971i −1.78495 0.552915i
\(263\) 4.86859 + 7.00997i 0.300210 + 0.432253i 0.942499 0.334209i \(-0.108469\pi\)
−0.642289 + 0.766463i \(0.722015\pi\)
\(264\) 0.0519013 0.752753i 0.00319430 0.0463287i
\(265\) −28.9614 3.27628i −1.77909 0.201260i
\(266\) 30.4905 + 31.4598i 1.86949 + 1.92892i
\(267\) −21.4369 14.6904i −1.31192 0.899041i
\(268\) 2.05587 + 5.73517i 0.125582 + 0.350331i
\(269\) −5.42348 + 6.34606i −0.330675 + 0.386926i −0.900511 0.434833i \(-0.856808\pi\)
0.569836 + 0.821759i \(0.307007\pi\)
\(270\) −15.3734 0.192429i −0.935597 0.0117108i
\(271\) −4.60414 12.3549i −0.279682 0.750508i −0.998471 0.0552796i \(-0.982395\pi\)
0.718789 0.695228i \(-0.244697\pi\)
\(272\) −1.42420 1.70933i −0.0863546 0.103643i
\(273\) 27.7482 + 32.4684i 1.67940 + 1.96508i
\(274\) −4.77045 + 8.34285i −0.288193 + 0.504010i
\(275\) −0.924682 + 1.23012i −0.0557604 + 0.0741788i
\(276\) −6.14775 + 1.40897i −0.370051 + 0.0848099i
\(277\) 6.22364 13.5057i 0.373942 0.811477i −0.625568 0.780170i \(-0.715133\pi\)
0.999510 0.0313072i \(-0.00996701\pi\)
\(278\) 11.3604 + 22.3999i 0.681352 + 1.34346i
\(279\) 14.9931 + 0.939519i 0.897615 + 0.0562476i
\(280\) 40.1699 19.4333i 2.40061 1.16136i
\(281\) 8.19233 + 15.1978i 0.488713 + 0.906627i 0.998915 + 0.0465721i \(0.0148297\pi\)
−0.510202 + 0.860055i \(0.670429\pi\)
\(282\) −51.5347 7.14044i −3.06885 0.425207i
\(283\) 26.7389 11.7183i 1.58946 0.696579i 0.595204 0.803575i \(-0.297071\pi\)
0.994260 + 0.106995i \(0.0341230\pi\)
\(284\) −7.04455 0.352982i −0.418017 0.0209456i
\(285\) 9.03886 68.3814i 0.535416 4.05056i
\(286\) −0.675920 0.172825i −0.0399680 0.0102194i
\(287\) 18.7927 + 10.9023i 1.10930 + 0.643543i
\(288\) −10.4660 + 1.31684i −0.616715 + 0.0775956i
\(289\) −10.0824 13.4128i −0.593085 0.788989i
\(290\) −12.7029 10.7193i −0.745939 0.629461i
\(291\) 6.12330 + 4.42546i 0.358954 + 0.259425i
\(292\) −2.37215 + 1.62560i −0.138820 + 0.0951312i
\(293\) −3.64590 0.740051i −0.212996 0.0432342i 0.0912491 0.995828i \(-0.470914\pi\)
−0.304245 + 0.952594i \(0.598404\pi\)
\(294\) −35.3664 39.3443i −2.06261 2.29461i
\(295\) −7.62659 0.669912i −0.444037 0.0390038i
\(296\) −8.98357 4.07181i −0.522159 0.236669i
\(297\) 0.215666 + 0.177416i 0.0125142 + 0.0102947i
\(298\) −7.41457 + 0.838778i −0.429514 + 0.0485891i
\(299\) −0.785570 17.9210i −0.0454307 1.03640i
\(300\) 14.7670 + 7.14397i 0.852573 + 0.412457i
\(301\) −7.58031 4.27170i −0.436922 0.246217i
\(302\) 8.77007 27.6975i 0.504661 1.59381i
\(303\) −3.07361 + 5.87688i −0.176574 + 0.337618i
\(304\) −0.185183 29.5903i −0.0106210 1.69712i
\(305\) 26.6797 30.4384i 1.52768 1.74290i
\(306\) 2.86695 0.215707i 0.163892 0.0123312i
\(307\) −2.62659 + 2.21645i −0.149907 + 0.126499i −0.716760 0.697319i \(-0.754376\pi\)
0.566853 + 0.823819i \(0.308161\pi\)
\(308\) 0.256848 + 0.0588655i 0.0146353 + 0.00335417i
\(309\) −12.7563 + 16.5348i −0.725678 + 0.940634i
\(310\) −22.5711 12.3498i −1.28195 0.701420i
\(311\) −0.740623 7.86650i −0.0419969 0.446068i −0.991292 0.131682i \(-0.957962\pi\)
0.949295 0.314386i \(-0.101799\pi\)
\(312\) 1.28776 22.8395i 0.0729050 1.29303i
\(313\) −6.61703 1.08627i −0.374017 0.0613998i −0.0279489 0.999609i \(-0.508898\pi\)
−0.346068 + 0.938210i \(0.612483\pi\)
\(314\) −9.82093 + 2.38056i −0.554227 + 0.134343i
\(315\) −12.2286 + 71.6814i −0.689005 + 4.03879i
\(316\) 3.76345 + 0.569542i 0.211710 + 0.0320393i
\(317\) 1.75560 18.6470i 0.0986041 1.04732i −0.797453 0.603381i \(-0.793820\pi\)
0.896057 0.443939i \(-0.146419\pi\)
\(318\) 16.0448 23.7303i 0.899745 1.33073i
\(319\) 0.0582042 + 0.296244i 0.00325881 + 0.0165865i
\(320\) −20.8102 6.73284i −1.16332 0.376377i
\(321\) 21.4276 17.1822i 1.19597 0.959014i
\(322\) 2.36559 + 34.3095i 0.131829 + 1.91199i
\(323\) −0.128294 + 2.92674i −0.00713848 + 0.162848i
\(324\) −1.29870 + 2.40926i −0.0721502 + 0.133848i
\(325\) −27.5650 + 37.6420i −1.52903 + 2.08800i
\(326\) 0.0579860 + 0.175468i 0.00321155 + 0.00971830i
\(327\) −25.5250 2.56440i −1.41153 0.141812i
\(328\) −3.23392 11.1782i −0.178564 0.617214i
\(329\) −16.2026 + 53.4882i −0.893279 + 2.94890i
\(330\) −0.905209 1.90138i −0.0498301 0.104668i
\(331\) −0.888592 0.363190i −0.0488414 0.0199627i 0.353790 0.935325i \(-0.384893\pi\)
−0.402632 + 0.915362i \(0.631905\pi\)
\(332\) 3.84916 1.08753i 0.211250 0.0596858i
\(333\) 13.9027 8.06542i 0.761862 0.441983i
\(334\) −4.29700 + 3.27235i −0.235121 + 0.179055i
\(335\) −39.5475 34.2287i −2.16071 1.87011i
\(336\) −1.73029 + 55.2791i −0.0943951 + 3.01572i
\(337\) −11.6411 + 27.0216i −0.634133 + 1.47196i 0.232287 + 0.972647i \(0.425379\pi\)
−0.866421 + 0.499315i \(0.833585\pi\)
\(338\) −0.617100 0.149583i −0.0335658 0.00813625i
\(339\) −3.96404 1.67841i −0.215297 0.0911585i
\(340\) −0.906865 0.344428i −0.0491817 0.0186792i
\(341\) 0.179517 + 0.431482i 0.00972140 + 0.0233661i
\(342\) 31.2693 + 22.0086i 1.69085 + 1.19009i
\(343\) −21.5556 + 13.9920i −1.16389 + 0.755496i
\(344\) 1.35108 + 4.46018i 0.0728452 + 0.240477i
\(345\) 40.0409 36.4481i 2.15573 1.96230i
\(346\) −16.0265 + 33.6635i −0.861591 + 1.80976i
\(347\) −18.8170 17.1286i −1.01015 0.919511i −0.0133860 0.999910i \(-0.504261\pi\)
−0.996763 + 0.0803990i \(0.974381\pi\)
\(348\) 2.97903 1.21760i 0.159693 0.0652704i
\(349\) 13.2329 10.3417i 0.708342 0.553576i −0.195886 0.980627i \(-0.562758\pi\)
0.904228 + 0.427051i \(0.140447\pi\)
\(350\) 51.0245 73.4670i 2.72738 3.92698i
\(351\) 6.60525 + 5.29655i 0.352562 + 0.282709i
\(352\) −0.180387 0.274127i −0.00961467 0.0146110i
\(353\) 10.6684 4.99735i 0.567822 0.265982i −0.118896 0.992907i \(-0.537935\pi\)
0.686717 + 0.726925i \(0.259051\pi\)
\(354\) 4.05721 6.33690i 0.215638 0.336803i
\(355\) 54.1740 27.0501i 2.87526 1.43567i
\(356\) −4.85483 + 0.243262i −0.257306 + 0.0128928i
\(357\) 0.444966 5.45730i 0.0235501 0.288831i
\(358\) 7.21283 1.37031i 0.381210 0.0724230i
\(359\) −17.0416 + 27.3654i −0.899423 + 1.44429i −0.00354310 + 0.999994i \(0.501128\pi\)
−0.895880 + 0.444296i \(0.853454\pi\)
\(360\) 31.2784 23.2071i 1.64852 1.22312i
\(361\) −13.3454 + 14.8465i −0.702391 + 0.781394i
\(362\) −30.3649 + 28.3433i −1.59594 + 1.48969i
\(363\) 6.61335 28.0487i 0.347111 1.47218i
\(364\) 7.80871 + 1.68705i 0.409287 + 0.0884256i
\(365\) 10.8901 22.1556i 0.570012 1.15968i
\(366\) 14.3568 + 37.0997i 0.750441 + 1.93923i
\(367\) −2.68944 + 0.0336636i −0.140387 + 0.00175722i −0.0826788 0.996576i \(-0.526348\pi\)
−0.0577086 + 0.998333i \(0.518379\pi\)
\(368\) 14.8691 17.8459i 0.775103 0.930281i
\(369\) 17.8901 + 6.28694i 0.931319 + 0.327285i
\(370\) −27.4220 + 2.40872i −1.42560 + 0.125224i
\(371\) −22.4946 20.9971i −1.16786 1.09011i
\(372\) 4.14428 2.76443i 0.214871 0.143329i
\(373\) −3.23792 + 12.3412i −0.167653 + 0.639001i 0.829144 + 0.559034i \(0.188828\pi\)
−0.996798 + 0.0799667i \(0.974519\pi\)
\(374\) 0.0453648 + 0.0770815i 0.00234576 + 0.00398579i
\(375\) −85.4086 + 5.35199i −4.41048 + 0.276375i
\(376\) 26.0783 14.6958i 1.34489 0.757879i
\(377\) 1.87688 + 8.95858i 0.0966641 + 0.461390i
\(378\) −12.9137 9.83435i −0.664210 0.505824i
\(379\) −8.72967 1.09837i −0.448413 0.0564196i −0.102599 0.994723i \(-0.532716\pi\)
−0.345814 + 0.938303i \(0.612397\pi\)
\(380\) −6.40427 11.2002i −0.328532 0.574557i
\(381\) 2.37519 6.62595i 0.121685 0.339457i
\(382\) −24.2448 + 17.5223i −1.24047 + 0.896518i
\(383\) 25.4399 + 1.91408i 1.29992 + 0.0978050i 0.706859 0.707354i \(-0.250111\pi\)
0.593059 + 0.805159i \(0.297920\pi\)
\(384\) 25.5184 25.0437i 1.30223 1.27801i
\(385\) −2.16907 + 0.642261i −0.110546 + 0.0327326i
\(386\) −1.73438 9.45137i −0.0882776 0.481062i
\(387\) −7.19570 2.42797i −0.365778 0.123421i
\(388\) 1.41273 0.0353716i 0.0717203 0.00179572i
\(389\) 5.87194 + 23.5790i 0.297719 + 1.19550i 0.913253 + 0.407392i \(0.133562\pi\)
−0.615534 + 0.788110i \(0.711060\pi\)
\(390\) −28.1630 57.2971i −1.42609 2.90135i
\(391\) −1.55864 + 1.69089i −0.0788236 + 0.0855121i
\(392\) 29.9034 + 5.68110i 1.51035 + 0.286939i
\(393\) −13.3665 + 48.4664i −0.674253 + 2.44480i
\(394\) −1.61560 1.70926i −0.0813927 0.0861111i
\(395\) −30.5473 + 11.6019i −1.53700 + 0.583754i
\(396\) 0.229827 + 0.00863381i 0.0115492 + 0.000433865i
\(397\) 0.250077 0.0672874i 0.0125510 0.00337706i −0.253545 0.967323i \(-0.581597\pi\)
0.266096 + 0.963946i \(0.414266\pi\)
\(398\) −19.7308 + 16.2314i −0.989013 + 0.813606i
\(399\) 50.6815 52.2927i 2.53725 2.61791i
\(400\) −59.2079 + 12.0181i −2.96039 + 0.600905i
\(401\) −4.71365 3.49731i −0.235388 0.174647i 0.471729 0.881744i \(-0.343630\pi\)
−0.707117 + 0.707096i \(0.750005\pi\)
\(402\) 47.8232 18.8515i 2.38520 0.940227i
\(403\) 5.60581 + 13.0123i 0.279245 + 0.648189i
\(404\) 0.208615 + 1.22286i 0.0103790 + 0.0608394i
\(405\) −0.441110 23.4925i −0.0219189 1.16735i
\(406\) −4.02710 17.0799i −0.199862 0.847659i
\(407\) 0.415960 + 0.277465i 0.0206184 + 0.0137534i
\(408\) −2.19325 + 1.94682i −0.108582 + 0.0963820i
\(409\) 3.39012 + 3.86773i 0.167631 + 0.191247i 0.829723 0.558176i \(-0.188499\pi\)
−0.662092 + 0.749423i \(0.730331\pi\)
\(410\) −23.1792 22.7480i −1.14474 1.12345i
\(411\) 14.1089 + 7.49175i 0.695938 + 0.369541i
\(412\) −0.0244457 + 3.90616i −0.00120435 + 0.192443i
\(413\) −6.04498 5.36578i −0.297454 0.264033i
\(414\) 7.61751 + 29.0338i 0.374380 + 1.42693i
\(415\) −24.2044 + 24.3564i −1.18815 + 1.19561i
\(416\) −5.57247 8.24174i −0.273213 0.404084i
\(417\) 36.6244 20.0390i 1.79350 0.981315i
\(418\) −0.185351 + 1.17502i −0.00906582 + 0.0574721i
\(419\) 15.6367 2.76839i 0.763904 0.135245i 0.221269 0.975213i \(-0.428980\pi\)
0.542636 + 0.839968i \(0.317426\pi\)
\(420\) 11.1755 + 21.3680i 0.545307 + 1.04265i
\(421\) −0.498853 + 0.264889i −0.0243126 + 0.0129099i −0.481092 0.876670i \(-0.659760\pi\)
0.456780 + 0.889580i \(0.349003\pi\)
\(422\) 29.0669 + 8.60671i 1.41495 + 0.418968i
\(423\) −5.17978 + 48.5036i −0.251850 + 2.35832i
\(424\) 0.927794 + 16.4552i 0.0450577 + 0.799135i
\(425\) 5.91388 0.894979i 0.286865 0.0434129i
\(426\) −1.11724 + 59.5013i −0.0541302 + 2.88285i
\(427\) 41.7695 9.02419i 2.02137 0.436711i
\(428\) 1.24147 4.98517i 0.0600087 0.240967i
\(429\) −0.251981 + 1.13196i −0.0121658 + 0.0546514i
\(430\) 9.39628 + 8.99342i 0.453129 + 0.433701i
\(431\) 1.32000 + 3.83270i 0.0635823 + 0.184615i 0.972770 0.231771i \(-0.0744520\pi\)
−0.909188 + 0.416386i \(0.863297\pi\)
\(432\) 1.70829 + 10.8296i 0.0821903 + 0.521040i
\(433\) −15.2589 19.7788i −0.733297 0.950509i 0.266615 0.963803i \(-0.414095\pi\)
−0.999912 + 0.0132943i \(0.995768\pi\)
\(434\) −11.3685 24.6702i −0.545703 1.18421i
\(435\) −17.1485 + 21.6619i −0.822205 + 1.03861i
\(436\) −4.08899 + 2.51102i −0.195827 + 0.120256i
\(437\) −30.2960 + 4.19769i −1.44926 + 0.200803i
\(438\) 14.3352 + 19.5757i 0.684963 + 0.935364i
\(439\) 1.53064 2.14603i 0.0730534 0.102425i −0.775997 0.630737i \(-0.782753\pi\)
0.849050 + 0.528312i \(0.177175\pi\)
\(440\) 1.07714 + 0.554788i 0.0513507 + 0.0264485i
\(441\) −35.8329 + 34.2966i −1.70633 + 1.63317i
\(442\) 1.40449 + 2.31952i 0.0668046 + 0.110328i
\(443\) 16.6213 17.5848i 0.789701 0.835481i −0.199826 0.979831i \(-0.564038\pi\)
0.989527 + 0.144350i \(0.0461093\pi\)
\(444\) 2.04739 4.92105i 0.0971649 0.233543i
\(445\) 35.2841 22.2806i 1.67263 1.05620i
\(446\) 28.7297 + 13.4577i 1.36039 + 0.637243i
\(447\) 1.77912 + 12.2749i 0.0841497 + 0.580583i
\(448\) −13.4089 18.8000i −0.633511 0.888215i
\(449\) 5.26913 15.9446i 0.248666 0.752474i −0.747442 0.664327i \(-0.768718\pi\)
0.996107 0.0881471i \(-0.0280945\pi\)
\(450\) 31.7837 71.3072i 1.49830 3.36145i
\(451\) 0.0699777 + 0.585742i 0.00329512 + 0.0275815i
\(452\) −0.780095 + 0.199462i −0.0366926 + 0.00938190i
\(453\) −46.4727 13.1302i −2.18348 0.616910i
\(454\) −2.32672 1.81836i −0.109199 0.0853397i
\(455\) −65.5118 + 20.2933i −3.07124 + 0.951362i
\(456\) −38.9767 + 1.46422i −1.82525 + 0.0685684i
\(457\) −4.52646 + 1.91654i −0.211739 + 0.0896521i −0.493183 0.869926i \(-0.664167\pi\)
0.281444 + 0.959578i \(0.409187\pi\)
\(458\) 26.1211 4.28813i 1.22056 0.200371i
\(459\) −0.115257 1.07927i −0.00537975 0.0503760i
\(460\) 1.82799 9.96150i 0.0852305 0.464457i
\(461\) 10.1673 18.3092i 0.473537 0.852745i −0.526460 0.850200i \(-0.676481\pi\)
0.999997 0.00254454i \(-0.000809954\pi\)
\(462\) 0.428625 2.18159i 0.0199414 0.101497i
\(463\) 18.5491 + 18.6656i 0.862051 + 0.867462i 0.992280 0.124022i \(-0.0395792\pi\)
−0.130229 + 0.991484i \(0.541571\pi\)
\(464\) −6.01169 + 10.2147i −0.279086 + 0.474208i
\(465\) −19.3441 + 38.1418i −0.897061 + 1.76878i
\(466\) −21.0788 26.6267i −0.976455 1.23346i
\(467\) −12.6764 4.63380i −0.586593 0.214427i 0.0328604 0.999460i \(-0.489538\pi\)
−0.619454 + 0.785033i \(0.712646\pi\)
\(468\) 6.97050 + 0.174526i 0.322211 + 0.00806748i
\(469\) −11.9986 53.9004i −0.554044 2.48889i
\(470\) 43.2718 71.4638i 1.99598 3.29638i
\(471\) 4.46577 + 16.1927i 0.205772 + 0.746118i
\(472\) 0.351821 + 4.31491i 0.0161939 + 0.198610i
\(473\) −0.0309591 0.234214i −0.00142350 0.0107692i
\(474\) 3.80964 31.8882i 0.174982 1.46468i
\(475\) 68.3041 + 40.7767i 3.13401 + 1.87096i
\(476\) −0.552235 0.862528i −0.0253117 0.0395339i
\(477\) −22.7088 14.3398i −1.03976 0.656573i
\(478\) 4.09597 2.88291i 0.187345 0.131861i
\(479\) 10.8123 26.9337i 0.494025 1.23063i −0.447681 0.894193i \(-0.647750\pi\)
0.941706 0.336438i \(-0.109222\pi\)
\(480\) 8.34559 28.8470i 0.380922 1.31668i
\(481\) 12.7151 + 8.25354i 0.579761 + 0.376329i
\(482\) 15.9445 + 39.7184i 0.726254 + 1.80912i
\(483\) 56.8787 5.71440i 2.58807 0.260014i
\(484\) −2.19450 4.92340i −0.0997499 0.223791i
\(485\) −10.4167 + 6.21865i −0.472999 + 0.282374i
\(486\) 30.4569 + 15.2077i 1.38155 + 0.689836i
\(487\) −21.1965 9.28934i −0.960507 0.420940i −0.138465 0.990367i \(-0.544217\pi\)
−0.822042 + 0.569427i \(0.807165\pi\)
\(488\) −19.5040 11.9773i −0.882906 0.542186i
\(489\) 0.288507 0.105463i 0.0130467 0.00476918i
\(490\) 80.4921 27.1596i 3.63626 1.22695i
\(491\) 16.8286 + 30.3049i 0.759464 + 1.36764i 0.924434 + 0.381343i \(0.124538\pi\)
−0.164970 + 0.986299i \(0.552753\pi\)
\(492\) 5.98291 1.93569i 0.269730 0.0872677i
\(493\) 0.645031 0.980226i 0.0290507 0.0441472i
\(494\) −5.17307 + 35.6912i −0.232747 + 1.60582i
\(495\) −1.75527 + 0.904061i −0.0788934 + 0.0406345i
\(496\) −5.97440 + 17.3470i −0.268259 + 0.778904i
\(497\) 62.9497 + 11.1449i 2.82368 + 0.499916i
\(498\) −10.1874 32.1737i −0.456507 1.44174i
\(499\) 2.22036 10.5981i 0.0993968 0.474434i −0.899870 0.436157i \(-0.856339\pi\)
0.999267 0.0382767i \(-0.0121868\pi\)
\(500\) −12.1031 + 10.4754i −0.541269 + 0.468473i
\(501\) 5.66012 + 6.96884i 0.252876 + 0.311345i
\(502\) −1.94912 −0.0869934
\(503\) −11.8158 19.0627i −0.526843 0.849963i
\(504\) 41.1195 1.83161
\(505\) −6.71412 8.26653i −0.298774 0.367856i
\(506\) −0.706053 + 0.611095i −0.0313879 + 0.0271665i
\(507\) −0.216425 + 1.03303i −0.00961179 + 0.0458783i
\(508\) −0.397436 1.25518i −0.0176334 0.0556895i
\(509\) 19.8756 + 3.51886i 0.880971 + 0.155971i 0.596403 0.802685i \(-0.296596\pi\)
0.284568 + 0.958656i \(0.408150\pi\)
\(510\) −2.66525 + 7.73870i −0.118019 + 0.342675i
\(511\) 23.1712 11.9345i 1.02503 0.527949i
\(512\) −1.39155 + 9.60090i −0.0614985 + 0.424304i
\(513\) 7.93543 12.0591i 0.350358 0.532424i
\(514\) −7.75798 + 2.50999i −0.342190 + 0.110711i
\(515\) −16.2802 29.3173i −0.717389 1.29187i
\(516\) −2.38619 + 0.805149i −0.105046 + 0.0354447i
\(517\) −1.42524 + 0.520991i −0.0626820 + 0.0229131i
\(518\) −24.7658 15.2085i −1.08815 0.668223i
\(519\) 56.7618 + 24.8758i 2.49157 + 1.09192i
\(520\) 32.8641 + 16.4097i 1.44119 + 0.719614i
\(521\) 25.4228 15.1771i 1.11379 0.664919i 0.166740 0.986001i \(-0.446676\pi\)
0.947052 + 0.321082i \(0.104046\pi\)
\(522\) −6.23544 13.9893i −0.272918 0.612295i
\(523\) −29.7779 + 2.99168i −1.30210 + 0.130817i −0.726641 0.687017i \(-0.758920\pi\)
−0.575454 + 0.817834i \(0.695175\pi\)
\(524\) 3.50339 + 8.72705i 0.153046 + 0.381243i
\(525\) −124.711 80.9514i −5.44284 3.53301i
\(526\) 3.74331 12.9389i 0.163216 0.564164i
\(527\) 0.676681 1.68563i 0.0294767 0.0734273i
\(528\) −1.22800 + 0.864314i −0.0534417 + 0.0376145i
\(529\) −0.853332 0.538848i −0.0371014 0.0234282i
\(530\) 24.8024 + 38.7385i 1.07735 + 1.68269i
\(531\) −6.05744 3.61621i −0.262870 0.156930i
\(532\) 1.61583 13.5252i 0.0700553 0.586392i
\(533\) 2.34364 + 17.7303i 0.101514 + 0.767984i
\(534\) 3.33299 + 40.8776i 0.144233 + 1.76895i
\(535\) 11.7256 + 42.5165i 0.506943 + 1.83815i
\(536\) −15.3190 + 25.2995i −0.661681 + 1.09277i
\(537\) −2.65171 11.9121i −0.114430 0.514045i
\(538\) 13.1704 + 0.329757i 0.567814 + 0.0142168i
\(539\) −1.44925 0.529766i −0.0624234 0.0228186i
\(540\) 2.96701 + 3.74793i 0.127680 + 0.161285i
\(541\) 2.04154 4.02541i 0.0877725 0.173066i −0.843763 0.536716i \(-0.819665\pi\)
0.931536 + 0.363650i \(0.118470\pi\)
\(542\) −10.5541 + 17.9331i −0.453340 + 0.770291i
\(543\) 48.6686 + 48.9741i 2.08857 + 2.10168i
\(544\) −0.245887 + 1.25150i −0.0105423 + 0.0536577i
\(545\) 19.9986 36.0135i 0.856647 1.54265i
\(546\) 12.1660 66.2977i 0.520657 2.83728i
\(547\) 3.15374 + 29.5317i 0.134844 + 1.26268i 0.835623 + 0.549304i \(0.185107\pi\)
−0.700778 + 0.713379i \(0.747164\pi\)
\(548\) 2.94855 0.484043i 0.125956 0.0206773i
\(549\) 34.3457 14.5422i 1.46584 0.620648i
\(550\) 2.42697 0.0911729i 0.103486 0.00388763i
\(551\) 14.9076 4.61784i 0.635083 0.196727i
\(552\) −24.1245 18.8536i −1.02681 0.802461i
\(553\) −33.1989 9.37988i −1.41176 0.398873i
\(554\) −22.7372 + 5.81367i −0.966013 + 0.246999i
\(555\) 5.42788 + 45.4336i 0.230401 + 1.92855i
\(556\) 3.17915 7.13248i 0.134826 0.302484i
\(557\) −9.33598 + 28.2511i −0.395578 + 1.19704i 0.539313 + 0.842105i \(0.318684\pi\)
−0.934891 + 0.354934i \(0.884503\pi\)
\(558\) −13.7669 19.3018i −0.582798 0.817112i
\(559\) −1.02740 7.08846i −0.0434544 0.299810i
\(560\) −80.4231 37.6722i −3.39850 1.59194i
\(561\) 0.125704 0.0793773i 0.00530722 0.00335131i
\(562\) 10.4667 25.1573i 0.441509 1.06120i
\(563\) −4.05542 + 4.29051i −0.170915 + 0.180824i −0.806549 0.591167i \(-0.798667\pi\)
0.635633 + 0.771991i \(0.280739\pi\)
\(564\) 8.37840 + 13.8370i 0.352794 + 0.582642i
\(565\) 4.99369 4.77958i 0.210086 0.201079i
\(566\) −40.9598 21.0966i −1.72167 0.886757i
\(567\) 14.4048 20.1962i 0.604943 0.848161i
\(568\) −20.2299 27.6253i −0.848827 1.15913i
\(569\) 28.7707 3.98636i 1.20613 0.167117i 0.494190 0.869354i \(-0.335465\pi\)
0.711943 + 0.702237i \(0.247815\pi\)
\(570\) −92.7628 + 56.9650i −3.88541 + 2.38600i
\(571\) 20.9895 26.5140i 0.878385 1.10958i −0.114841 0.993384i \(-0.536636\pi\)
0.993227 0.116193i \(-0.0370692\pi\)
\(572\) 0.0907821 + 0.197003i 0.00379579 + 0.00823709i
\(573\) 30.3723 + 39.3689i 1.26882 + 1.64466i
\(574\) −5.34263 33.8692i −0.222997 1.41367i
\(575\) 20.3345 + 59.0422i 0.848006 + 2.46223i
\(576\) −14.5602 13.9359i −0.606675 0.580664i
\(577\) −3.77462 + 16.9564i −0.157139 + 0.705905i 0.831491 + 0.555538i \(0.187488\pi\)
−0.988630 + 0.150367i \(0.951954\pi\)
\(578\) −6.39933 + 25.6968i −0.266177 + 1.06884i
\(579\) −15.6123 + 3.37299i −0.648824 + 0.140177i
\(580\) −0.0970166 + 5.16687i −0.00402840 + 0.214543i
\(581\) −35.8446 + 5.42456i −1.48708 + 0.225048i
\(582\) −0.671209 11.9045i −0.0278225 0.493456i
\(583\) 0.0887207 0.830782i 0.00367444 0.0344075i
\(584\) −13.3856 3.96346i −0.553898 0.164009i
\(585\) −52.8680 + 28.0727i −2.18582 + 1.16066i
\(586\) 2.72100 + 5.20267i 0.112403 + 0.214920i
\(587\) 9.16138 1.62197i 0.378131 0.0669458i 0.0179760 0.999838i \(-0.494278\pi\)
0.360155 + 0.932893i \(0.382724\pi\)
\(588\) −2.56292 + 16.2475i −0.105693 + 0.670034i
\(589\) 21.1929 11.5957i 0.873240 0.477793i
\(590\) 6.76762 + 10.0094i 0.278618 + 0.412079i
\(591\) −2.75574 + 2.77304i −0.113356 + 0.114067i
\(592\) 4.98159 + 18.9871i 0.204742 + 0.780364i
\(593\) 5.95803 + 5.28860i 0.244667 + 0.217177i 0.777235 0.629210i \(-0.216622\pi\)
−0.532568 + 0.846387i \(0.678773\pi\)
\(594\) 0.00275814 0.440722i 0.000113168 0.0180830i
\(595\) 7.76540 + 4.12340i 0.318351 + 0.169043i
\(596\) 1.65581 + 1.62501i 0.0678246 + 0.0665631i
\(597\) 27.9928 + 31.9365i 1.14567 + 1.30707i
\(598\) −21.1722 + 18.7933i −0.865795 + 0.768516i
\(599\) −36.9992 24.6803i −1.51175 1.00841i −0.987637 0.156758i \(-0.949896\pi\)
−0.524111 0.851650i \(-0.675602\pi\)
\(600\) 18.2751 + 77.5088i 0.746077 + 3.16428i
\(601\) −0.474103 25.2496i −0.0193391 1.02995i −0.866669 0.498884i \(-0.833743\pi\)
0.847330 0.531067i \(-0.178209\pi\)
\(602\) 2.30926 + 13.5364i 0.0941184 + 0.551701i
\(603\) −19.0689 44.2630i −0.776544 1.80253i
\(604\) −8.40359 + 3.31262i −0.341937 + 0.134789i
\(605\) 37.1629 + 27.5732i 1.51089 + 1.12101i
\(606\) 10.2575 2.08209i 0.416684 0.0845792i
\(607\) −15.7078 + 16.2071i −0.637558 + 0.657826i −0.957104 0.289744i \(-0.906430\pi\)
0.319546 + 0.947571i \(0.396470\pi\)
\(608\) −13.1001 + 10.7767i −0.531277 + 0.437052i
\(609\) −28.1670 + 7.57881i −1.14138 + 0.307109i
\(610\) −63.8337 2.39801i −2.58455 0.0970928i
\(611\) −43.0086 + 16.3347i −1.73994 + 0.660831i
\(612\) −0.614029 0.649625i −0.0248206 0.0262595i
\(613\) 1.79047 6.49214i 0.0723163 0.262215i −0.918895 0.394502i \(-0.870917\pi\)
0.991211 + 0.132287i \(0.0422320\pi\)
\(614\) 5.32862 + 1.01234i 0.215045 + 0.0408548i
\(615\) −36.5881 + 39.6928i −1.47537 + 1.60057i
\(616\) 0.564274 + 1.14800i 0.0227352 + 0.0462544i
\(617\) 1.25065 + 5.02202i 0.0503491 + 0.202179i 0.990258 0.139248i \(-0.0444684\pi\)
−0.939908 + 0.341427i \(0.889090\pi\)
\(618\) 32.9479 0.824944i 1.32536 0.0331841i
\(619\) −1.87082 0.631251i −0.0751945 0.0253721i 0.281861 0.959455i \(-0.409048\pi\)
−0.357056 + 0.934083i \(0.616219\pi\)
\(620\) 1.44383 + 7.86806i 0.0579857 + 0.315989i
\(621\) 10.8657 3.21732i 0.436024 0.129107i
\(622\) −8.89981 + 8.73427i −0.356850 + 0.350212i
\(623\) 43.9330 + 3.30549i 1.76014 + 0.132432i
\(624\) −36.8989 + 26.6677i −1.47714 + 1.06756i
\(625\) 24.8676 69.3720i 0.994705 2.77488i
\(626\) 5.25307 + 9.18689i 0.209955 + 0.367182i
\(627\) 1.96181 + 0.246837i 0.0783472 + 0.00985770i
\(628\) 2.49959 + 1.90355i 0.0997446 + 0.0759598i
\(629\) −0.398497 1.90208i −0.0158891 0.0758409i
\(630\) 99.9792 56.3409i 3.98327 2.24467i
\(631\) 26.9541 1.68903i 1.07303 0.0672394i 0.483777 0.875191i \(-0.339265\pi\)
0.589248 + 0.807952i \(0.299424\pi\)
\(632\) 9.37198 + 15.9244i 0.372797 + 0.633438i
\(633\) 12.7876 48.7392i 0.508261 1.93721i
\(634\) −24.5899 + 16.4027i −0.976591 + 0.651433i
\(635\) 8.26252 + 7.71245i 0.327888 + 0.306059i
\(636\) −8.87210 + 0.779317i −0.351802 + 0.0309019i
\(637\) −44.1350 15.5100i −1.74869 0.614528i
\(638\) 0.304996 0.366058i 0.0120749 0.0144924i
\(639\) 55.7925 0.698353i 2.20712 0.0276264i
\(640\) 20.7204 + 53.5440i 0.819046 + 2.11651i
\(641\) 1.32054 2.68662i 0.0521582 0.106115i −0.869800 0.493405i \(-0.835752\pi\)
0.921958 + 0.387290i \(0.126589\pi\)
\(642\) −42.3686 9.15364i −1.67216 0.361265i
\(643\) 6.24827 26.5003i 0.246408 1.04507i −0.697949 0.716148i \(-0.745904\pi\)
0.944357 0.328924i \(-0.106686\pi\)
\(644\) 7.81654 7.29615i 0.308015 0.287509i
\(645\) 14.4530 16.0786i 0.569086 0.633095i
\(646\) 3.71300 2.75488i 0.146086 0.108389i
\(647\) −16.0588 + 25.7872i −0.631338 + 1.01380i 0.365222 + 0.930920i \(0.380993\pi\)
−0.996560 + 0.0828788i \(0.973589\pi\)
\(648\) −13.0532 + 2.47988i −0.512779 + 0.0974187i
\(649\) 0.0178352 0.218741i 0.000700094 0.00858632i
\(650\) 73.5392 3.68483i 2.88444 0.144531i
\(651\) −40.3958 + 20.1704i −1.58324 + 0.790542i
\(652\) 0.0309812 0.0483891i 0.00121332 0.00189506i
\(653\) −33.6420 + 15.7588i −1.31651 + 0.616689i −0.949570 0.313554i \(-0.898480\pi\)
−0.366944 + 0.930243i \(0.619596\pi\)
\(654\) 22.2553 + 33.8204i 0.870250 + 1.32248i
\(655\) −62.9831 50.5043i −2.46096 1.97337i
\(656\) −13.2108 + 19.0214i −0.515795 + 0.742660i
\(657\) 17.9243 14.0080i 0.699293 0.546504i
\(658\) 81.6459 33.3708i 3.18289 1.30093i
\(659\) −3.35368 3.05276i −0.130641 0.118919i 0.605200 0.796074i \(-0.293093\pi\)
−0.735841 + 0.677155i \(0.763213\pi\)
\(660\) −0.281442 + 0.591165i −0.0109551 + 0.0230111i
\(661\) 0.0844367 0.0768605i 0.00328421 0.00298953i −0.671508 0.740998i \(-0.734353\pi\)
0.674792 + 0.738008i \(0.264233\pi\)
\(662\) 0.439209 + 1.44992i 0.0170703 + 0.0563527i
\(663\) 3.78060 2.45403i 0.146826 0.0953067i
\(664\) 15.8784 + 11.1759i 0.616202 + 0.433708i
\(665\) 44.9187 + 107.965i 1.74187 + 4.18672i
\(666\) −23.7132 9.00630i −0.918869 0.348987i
\(667\) 11.2813 + 4.77659i 0.436813 + 0.184950i
\(668\) 1.63203 + 0.395599i 0.0631451 + 0.0153062i
\(669\) 20.8646 48.4313i 0.806672 1.87246i
\(670\) −2.58245 + 82.5037i −0.0997686 + 3.18740i
\(671\) 0.877320 + 0.759328i 0.0338686 + 0.0293135i
\(672\) 25.2232 19.2086i 0.973006 0.740986i
\(673\) −25.7853 + 14.9590i −0.993950 + 0.576625i −0.907687 0.419647i \(-0.862154\pi\)
−0.0862630 + 0.996272i \(0.527493\pi\)
\(674\) 44.6850 12.6251i 1.72120 0.486301i
\(675\) −27.2826 11.1511i −1.05011 0.429205i
\(676\) 0.0848618 + 0.178251i 0.00326392 + 0.00685582i
\(677\) 1.89943 6.27041i 0.0730011 0.240992i −0.912938 0.408099i \(-0.866192\pi\)
0.985939 + 0.167108i \(0.0534427\pi\)
\(678\) 1.88802 + 6.52604i 0.0725090 + 0.250631i
\(679\) −12.7441 1.28036i −0.489075 0.0491357i
\(680\) −1.47762 4.47135i −0.0566641 0.171468i
\(681\) −2.90001 + 3.96017i −0.111129 + 0.151754i
\(682\) 0.349964 0.649229i 0.0134008 0.0248603i
\(683\) −1.82408 + 41.6122i −0.0697963 + 1.59225i 0.568649 + 0.822580i \(0.307466\pi\)
−0.638445 + 0.769667i \(0.720422\pi\)
\(684\) −0.817770 11.8606i −0.0312682 0.453500i
\(685\) −20.0122 + 16.0472i −0.764626 + 0.613131i
\(686\) 38.5879 + 12.4846i 1.47329 + 0.476664i
\(687\) −8.48266 43.1745i −0.323634 1.64721i
\(688\) 5.19500 7.68346i 0.198058 0.292929i
\(689\) 2.37433 25.2189i 0.0904550 0.960764i
\(690\) −84.4898 12.7863i −3.21647 0.486766i
\(691\) −1.44630 + 8.47787i −0.0550197 + 0.322513i −0.999989 0.00464520i \(-0.998521\pi\)
0.944969 + 0.327159i \(0.106091\pi\)
\(692\) 11.2658 2.73079i 0.428261 0.103809i
\(693\) −2.05698 0.337681i −0.0781382 0.0128274i
\(694\) −2.26062 + 40.0940i −0.0858119 + 1.52195i
\(695\) 6.28377 + 66.7428i 0.238357 + 2.53170i
\(696\) 13.7055 + 7.49896i 0.519506 + 0.284247i
\(697\) 1.40049 1.81534i 0.0530475 0.0687608i
\(698\) −25.8353 5.92104i −0.977880 0.224115i
\(699\) −43.1414 + 36.4049i −1.63176 + 1.37696i
\(700\) −27.7321 + 2.08655i −1.04818 + 0.0788641i
\(701\) 12.1567 13.8693i 0.459151 0.523837i −0.475350 0.879797i \(-0.657679\pi\)
0.934501 + 0.355960i \(0.115846\pi\)
\(702\) −0.0836199 13.3616i −0.00315603 0.504300i
\(703\) 11.9785 22.9035i 0.451779 0.863823i
\(704\) 0.189267 0.597742i 0.00713328 0.0225283i
\(705\) −120.980 68.1753i −4.55637 2.56763i
\(706\) −16.7367 8.09688i −0.629895 0.304730i
\(707\) −0.492389 11.2327i −0.0185182 0.422451i
\(708\) −2.32463 + 0.262975i −0.0873648 + 0.00988320i
\(709\) −16.6533 13.6998i −0.625429 0.514506i 0.268170 0.963372i \(-0.413581\pi\)
−0.893599 + 0.448866i \(0.851828\pi\)
\(710\) −87.0391 39.4506i −3.26652 1.48055i
\(711\) −29.9948 2.63471i −1.12489 0.0988095i
\(712\) −15.7750 17.5493i −0.591192 0.657688i
\(713\) 18.5846 + 3.77234i 0.696000 + 0.141275i
\(714\) −7.12810 + 4.88479i −0.266762 + 0.182809i
\(715\) −1.50925 1.09077i −0.0564428 0.0407926i
\(716\) −1.74454 1.47214i −0.0651967 0.0550163i
\(717\) −5.00266 6.65511i −0.186828 0.248540i
\(718\) 50.4795 6.35137i 1.88388 0.237031i
\(719\) −5.02518 2.91529i −0.187408 0.108722i 0.405148 0.914251i \(-0.367220\pi\)
−0.592556 + 0.805529i \(0.701881\pi\)
\(720\) −75.0967 19.2014i −2.79869 0.715595i
\(721\) 4.63950 35.0990i 0.172784 1.30716i
\(722\) 31.4658 + 1.57666i 1.17104 + 0.0586772i
\(723\) 65.1587 28.5557i 2.42328 1.06200i
\(724\) 12.7924 + 1.77246i 0.475425 + 0.0658730i
\(725\) −15.1191 28.0479i −0.561509 1.04167i
\(726\) −40.9407 + 19.8063i −1.51945 + 0.735079i
\(727\) 7.13514 + 0.447112i 0.264628 + 0.0165825i 0.194303 0.980942i \(-0.437756\pi\)
0.0703253 + 0.997524i \(0.477596\pi\)
\(728\) 17.5416 + 34.5878i 0.650136 + 1.28191i
\(729\) 16.6787 36.1939i 0.617731 1.34051i
\(730\) −37.9767 + 8.70366i −1.40558 + 0.322137i
\(731\) −0.551738 + 0.733984i −0.0204068 + 0.0271474i
\(732\) 6.13944 10.7370i 0.226920 0.396852i
\(733\) 18.8609 + 22.0693i 0.696644 + 0.815149i 0.990032 0.140844i \(-0.0449817\pi\)
−0.293387 + 0.955994i \(0.594783\pi\)
\(734\) 2.71716 + 3.26115i 0.100292 + 0.120371i
\(735\) −49.3087 132.317i −1.81878 4.88058i
\(736\) −13.3148 0.166661i −0.490791 0.00614321i
\(737\) 0.974090 1.13979i 0.0358811 0.0419847i
\(738\) −10.0985 28.1712i −0.371730 1.03700i
\(739\) −28.3816 19.4495i −1.04403 0.715462i −0.0843190 0.996439i \(-0.526871\pi\)
−0.959715 + 0.280977i \(0.909342\pi\)
\(740\) 5.95650 + 6.14586i 0.218965 + 0.225926i
\(741\) 59.5662 + 6.73846i 2.18822 + 0.247544i
\(742\) −3.34044 + 48.4482i −0.122631 + 1.77859i
\(743\) −10.3721 14.9341i −0.380515 0.547879i 0.584053 0.811716i \(-0.301466\pi\)
−0.964567 + 0.263837i \(0.915012\pi\)
\(744\) 23.1005 + 7.15572i 0.846904 + 0.262341i
\(745\) −19.2326 5.17488i −0.704630 0.189593i
\(746\) 18.3400 8.31261i 0.671474 0.304346i
\(747\) −29.8517 + 10.4905i −1.09222 + 0.383828i
\(748\) 0.00971053 0.0260576i 0.000355052 0.000952759i
\(749\) −16.8046 + 43.4251i −0.614027 + 1.58672i
\(750\) 91.5358 + 99.3031i 3.34242 + 3.62604i
\(751\) −9.15944 14.7082i −0.334233 0.536709i 0.638207 0.769865i \(-0.279677\pi\)
−0.972439 + 0.233156i \(0.925095\pi\)
\(752\) −55.4235 21.8475i −2.02109 0.796696i
\(753\) 0.101361 + 3.23826i 0.00369379 + 0.118009i
\(754\) 9.10710 11.2128i 0.331661 0.408346i
\(755\) 48.8891 60.1931i 1.77926 2.19065i
\(756\) 0.157891 + 5.04428i 0.00574244 + 0.183459i
\(757\) 7.90923 + 3.11775i 0.287466 + 0.113317i 0.506057 0.862500i \(-0.331102\pi\)
−0.218591 + 0.975816i \(0.570146\pi\)
\(758\) 7.34027 + 11.7870i 0.266611 + 0.428122i
\(759\) 1.05199 + 1.14125i 0.0381848 + 0.0414249i
\(760\) 22.6037 58.4107i 0.819923 2.11878i
\(761\) −13.7159 + 36.8057i −0.497200 + 1.33420i 0.409455 + 0.912331i \(0.365719\pi\)
−0.906655 + 0.421874i \(0.861373\pi\)
\(762\) −10.4802 + 3.68298i −0.379659 + 0.133420i
\(763\) 39.6119 17.9541i 1.43405 0.649984i
\(764\) 8.98120 + 2.41655i 0.324928 + 0.0874276i
\(765\) 7.33025 + 2.27066i 0.265026 + 0.0820958i
\(766\) −22.9673 33.0691i −0.829842 1.19484i
\(767\) 0.457675 6.63791i 0.0165257 0.239681i
\(768\) −29.0002 3.28067i −1.04646 0.118381i
\(769\) −21.5661 22.2517i −0.777695 0.802418i 0.206698 0.978405i \(-0.433728\pi\)
−0.984393 + 0.175987i \(0.943688\pi\)
\(770\) 2.94496 + 2.01814i 0.106129 + 0.0727287i
\(771\) 4.57353 + 12.7586i 0.164712 + 0.459488i
\(772\) −1.94102 + 2.27120i −0.0698588 + 0.0817424i
\(773\) 3.15310 +