Properties

Label 546.2.bv.a.473.21
Level $546$
Weight $2$
Character 546.473
Analytic conductor $4.360$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bv (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 473.21
Character \(\chi\) \(=\) 546.473
Dual form 546.2.bv.a.359.21

$q$-expansion

\(f(q)\) \(=\) \(q+(0.258819 - 0.965926i) q^{2} +(-1.51923 + 0.831834i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.533030 + 1.98929i) q^{5} +(0.410285 + 1.68276i) q^{6} +(1.42754 - 2.22758i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(1.61610 - 2.52749i) q^{9} +O(q^{10})\) \(q+(0.258819 - 0.965926i) q^{2} +(-1.51923 + 0.831834i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.533030 + 1.98929i) q^{5} +(0.410285 + 1.68276i) q^{6} +(1.42754 - 2.22758i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(1.61610 - 2.52749i) q^{9} +(1.78355 + 1.02973i) q^{10} +(0.922976 + 3.44459i) q^{11} +(1.73161 + 0.0392246i) q^{12} +(-3.26173 - 1.53659i) q^{13} +(-1.78221 - 1.95544i) q^{14} +(-0.844969 - 3.46558i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-3.54630 + 6.14237i) q^{17} +(-2.02309 - 2.21520i) q^{18} +(-5.57022 - 1.49254i) q^{19} +(1.45626 - 1.45626i) q^{20} +(-0.315779 + 4.57168i) q^{21} +3.56611 q^{22} +(3.12969 + 5.42078i) q^{23} +(0.486061 - 1.66245i) q^{24} +(0.656955 + 0.379293i) q^{25} +(-2.32843 + 2.75290i) q^{26} +(-0.352780 + 5.18416i) q^{27} +(-2.35008 + 1.21537i) q^{28} +0.340291i q^{29} +(-3.56619 - 0.0807818i) q^{30} +(2.22680 + 8.31053i) q^{31} +(0.965926 - 0.258819i) q^{32} +(-4.26754 - 4.46536i) q^{33} +(5.01522 + 5.01522i) q^{34} +(3.67040 + 4.02717i) q^{35} +(-2.66333 + 1.38082i) q^{36} +(-2.01230 + 7.50999i) q^{37} +(-2.88336 + 4.99412i) q^{38} +(6.23350 - 0.378798i) q^{39} +(-1.02973 - 1.78355i) q^{40} +(-5.27007 - 5.27007i) q^{41} +(4.33418 + 1.48826i) q^{42} +0.428508i q^{43} +(0.922976 - 3.44459i) q^{44} +(4.16649 + 4.56214i) q^{45} +(6.04610 - 1.62005i) q^{46} +(-1.50508 - 0.403284i) q^{47} +(-1.48000 - 0.899773i) q^{48} +(-2.92426 - 6.35993i) q^{49} +(0.536402 - 0.536402i) q^{50} +(0.278204 - 12.2816i) q^{51} +(2.05645 + 2.96159i) q^{52} +(-5.74215 - 3.31523i) q^{53} +(4.91621 + 1.68252i) q^{54} -7.34429 q^{55} +(0.565716 + 2.58456i) q^{56} +(9.70397 - 2.36599i) q^{57} +(0.328696 + 0.0880738i) q^{58} +(-0.522265 - 1.94912i) q^{59} +(-1.00103 + 3.42377i) q^{60} +(-0.887540 - 1.53726i) q^{61} +8.60369 q^{62} +(-3.32314 - 7.20810i) q^{63} -1.00000i q^{64} +(4.79532 - 5.66950i) q^{65} +(-5.41773 + 2.96641i) q^{66} +(3.14344 + 11.7315i) q^{67} +(6.14237 - 3.54630i) q^{68} +(-9.26390 - 5.63202i) q^{69} +(4.83991 - 2.50302i) q^{70} +(1.49159 + 1.49159i) q^{71} +(0.644446 + 2.92996i) q^{72} +(4.28734 - 1.14879i) q^{73} +(6.73327 + 3.88746i) q^{74} +(-1.31357 - 0.0297552i) q^{75} +(4.07768 + 4.07768i) q^{76} +(8.99071 + 2.86129i) q^{77} +(1.24746 - 6.11914i) q^{78} +(-4.48152 - 7.76223i) q^{79} +(-1.98929 + 0.533030i) q^{80} +(-3.77641 - 8.16938i) q^{81} +(-6.45449 + 3.72650i) q^{82} +(8.13092 + 8.13092i) q^{83} +(2.55931 - 3.80130i) q^{84} +(-10.3287 - 10.3287i) q^{85} +(0.413907 + 0.110906i) q^{86} +(-0.283066 - 0.516979i) q^{87} +(-3.08834 - 1.78305i) q^{88} +(-2.24658 - 0.601969i) q^{89} +(5.48505 - 2.84375i) q^{90} +(-8.07913 + 5.07225i) q^{91} -6.25938i q^{92} +(-10.2960 - 10.7733i) q^{93} +(-0.779084 + 1.34941i) q^{94} +(5.93818 - 10.2852i) q^{95} +(-1.25217 + 1.19669i) q^{96} +(11.9267 - 11.9267i) q^{97} +(-6.90007 + 1.17854i) q^{98} +(10.1978 + 3.23401i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 16 q^{7} + O(q^{10}) \) \( 144 q - 16 q^{7} + 72 q^{16} + 16 q^{18} + 8 q^{19} + 8 q^{21} + 24 q^{27} - 8 q^{28} - 8 q^{31} + 12 q^{33} - 8 q^{37} + 16 q^{39} - 40 q^{45} + 8 q^{46} + 8 q^{52} - 12 q^{54} - 32 q^{55} + 16 q^{57} + 8 q^{58} - 32 q^{61} - 40 q^{63} - 32 q^{66} - 8 q^{67} + 16 q^{72} + 80 q^{73} - 16 q^{76} + 16 q^{78} - 112 q^{79} - 48 q^{81} + 16 q^{84} - 80 q^{85} + 96 q^{87} - 32 q^{91} + 36 q^{93} - 64 q^{94} - 144 q^{97} - 32 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.258819 0.965926i 0.183013 0.683013i
\(3\) −1.51923 + 0.831834i −0.877126 + 0.480259i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) −0.533030 + 1.98929i −0.238378 + 0.889640i 0.738219 + 0.674561i \(0.235667\pi\)
−0.976597 + 0.215078i \(0.930999\pi\)
\(6\) 0.410285 + 1.68276i 0.167498 + 0.686982i
\(7\) 1.42754 2.22758i 0.539560 0.841947i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 1.61610 2.52749i 0.538702 0.842497i
\(10\) 1.78355 + 1.02973i 0.564009 + 0.325631i
\(11\) 0.922976 + 3.44459i 0.278288 + 1.03858i 0.953606 + 0.301058i \(0.0973397\pi\)
−0.675318 + 0.737527i \(0.735994\pi\)
\(12\) 1.73161 + 0.0392246i 0.499872 + 0.0113232i
\(13\) −3.26173 1.53659i −0.904642 0.426172i
\(14\) −1.78221 1.95544i −0.476315 0.522613i
\(15\) −0.844969 3.46558i −0.218170 0.894810i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −3.54630 + 6.14237i −0.860104 + 1.48974i 0.0117245 + 0.999931i \(0.496268\pi\)
−0.871828 + 0.489812i \(0.837065\pi\)
\(18\) −2.02309 2.21520i −0.476847 0.522128i
\(19\) −5.57022 1.49254i −1.27790 0.342411i −0.444845 0.895608i \(-0.646741\pi\)
−0.833051 + 0.553197i \(0.813408\pi\)
\(20\) 1.45626 1.45626i 0.325631 0.325631i
\(21\) −0.315779 + 4.57168i −0.0689087 + 0.997623i
\(22\) 3.56611 0.760297
\(23\) 3.12969 + 5.42078i 0.652585 + 1.13031i 0.982493 + 0.186298i \(0.0596490\pi\)
−0.329908 + 0.944013i \(0.607018\pi\)
\(24\) 0.486061 1.66245i 0.0992167 0.339346i
\(25\) 0.656955 + 0.379293i 0.131391 + 0.0758587i
\(26\) −2.32843 + 2.75290i −0.456642 + 0.539887i
\(27\) −0.352780 + 5.18416i −0.0678925 + 0.997693i
\(28\) −2.35008 + 1.21537i −0.444123 + 0.229684i
\(29\) 0.340291i 0.0631904i 0.999501 + 0.0315952i \(0.0100587\pi\)
−0.999501 + 0.0315952i \(0.989941\pi\)
\(30\) −3.56619 0.0807818i −0.651094 0.0147487i
\(31\) 2.22680 + 8.31053i 0.399945 + 1.49261i 0.813192 + 0.581996i \(0.197728\pi\)
−0.413247 + 0.910619i \(0.635605\pi\)
\(32\) 0.965926 0.258819i 0.170753 0.0457532i
\(33\) −4.26754 4.46536i −0.742884 0.777319i
\(34\) 5.01522 + 5.01522i 0.860104 + 0.860104i
\(35\) 3.67040 + 4.02717i 0.620410 + 0.680715i
\(36\) −2.66333 + 1.38082i −0.443889 + 0.230136i
\(37\) −2.01230 + 7.50999i −0.330819 + 1.23463i 0.577512 + 0.816382i \(0.304024\pi\)
−0.908331 + 0.418252i \(0.862643\pi\)
\(38\) −2.88336 + 4.99412i −0.467742 + 0.810153i
\(39\) 6.23350 0.378798i 0.998159 0.0606562i
\(40\) −1.02973 1.78355i −0.162815 0.282004i
\(41\) −5.27007 5.27007i −0.823047 0.823047i 0.163497 0.986544i \(-0.447723\pi\)
−0.986544 + 0.163497i \(0.947723\pi\)
\(42\) 4.33418 + 1.48826i 0.668778 + 0.229643i
\(43\) 0.428508i 0.0653469i 0.999466 + 0.0326735i \(0.0104021\pi\)
−0.999466 + 0.0326735i \(0.989598\pi\)
\(44\) 0.922976 3.44459i 0.139144 0.519292i
\(45\) 4.16649 + 4.56214i 0.621104 + 0.680083i
\(46\) 6.04610 1.62005i 0.891448 0.238863i
\(47\) −1.50508 0.403284i −0.219538 0.0588250i 0.147373 0.989081i \(-0.452918\pi\)
−0.366911 + 0.930256i \(0.619585\pi\)
\(48\) −1.48000 0.899773i −0.213620 0.129871i
\(49\) −2.92426 6.35993i −0.417751 0.908562i
\(50\) 0.536402 0.536402i 0.0758587 0.0758587i
\(51\) 0.278204 12.2816i 0.0389564 1.71977i
\(52\) 2.05645 + 2.96159i 0.285179 + 0.410698i
\(53\) −5.74215 3.31523i −0.788745 0.455382i 0.0507753 0.998710i \(-0.483831\pi\)
−0.839521 + 0.543328i \(0.817164\pi\)
\(54\) 4.91621 + 1.68252i 0.669012 + 0.228962i
\(55\) −7.34429 −0.990303
\(56\) 0.565716 + 2.58456i 0.0755970 + 0.345377i
\(57\) 9.70397 2.36599i 1.28532 0.313384i
\(58\) 0.328696 + 0.0880738i 0.0431599 + 0.0115647i
\(59\) −0.522265 1.94912i −0.0679931 0.253754i 0.923560 0.383453i \(-0.125265\pi\)
−0.991553 + 0.129700i \(0.958599\pi\)
\(60\) −1.00103 + 3.42377i −0.129232 + 0.442006i
\(61\) −0.887540 1.53726i −0.113638 0.196827i 0.803597 0.595174i \(-0.202917\pi\)
−0.917234 + 0.398348i \(0.869584\pi\)
\(62\) 8.60369 1.09267
\(63\) −3.32314 7.20810i −0.418676 0.908136i
\(64\) 1.00000i 0.125000i
\(65\) 4.79532 5.66950i 0.594786 0.703215i
\(66\) −5.41773 + 2.96641i −0.666876 + 0.365140i
\(67\) 3.14344 + 11.7315i 0.384032 + 1.43323i 0.839688 + 0.543070i \(0.182738\pi\)
−0.455656 + 0.890156i \(0.650595\pi\)
\(68\) 6.14237 3.54630i 0.744872 0.430052i
\(69\) −9.26390 5.63202i −1.11524 0.678015i
\(70\) 4.83991 2.50302i 0.578480 0.299169i
\(71\) 1.49159 + 1.49159i 0.177020 + 0.177020i 0.790055 0.613036i \(-0.210052\pi\)
−0.613036 + 0.790055i \(0.710052\pi\)
\(72\) 0.644446 + 2.92996i 0.0759487 + 0.345300i
\(73\) 4.28734 1.14879i 0.501795 0.134455i 0.000961865 1.00000i \(-0.499694\pi\)
0.500833 + 0.865544i \(0.333027\pi\)
\(74\) 6.73327 + 3.88746i 0.782727 + 0.451908i
\(75\) −1.31357 0.0297552i −0.151678 0.00343584i
\(76\) 4.07768 + 4.07768i 0.467742 + 0.467742i
\(77\) 8.99071 + 2.86129i 1.02459 + 0.326074i
\(78\) 1.24746 6.11914i 0.141247 0.692856i
\(79\) −4.48152 7.76223i −0.504211 0.873319i −0.999988 0.00486899i \(-0.998450\pi\)
0.495777 0.868450i \(-0.334883\pi\)
\(80\) −1.98929 + 0.533030i −0.222410 + 0.0595945i
\(81\) −3.77641 8.16938i −0.419601 0.907709i
\(82\) −6.45449 + 3.72650i −0.712779 + 0.411523i
\(83\) 8.13092 + 8.13092i 0.892484 + 0.892484i 0.994756 0.102272i \(-0.0326113\pi\)
−0.102272 + 0.994756i \(0.532611\pi\)
\(84\) 2.55931 3.80130i 0.279244 0.414756i
\(85\) −10.3287 10.3287i −1.12030 1.12030i
\(86\) 0.413907 + 0.110906i 0.0446328 + 0.0119593i
\(87\) −0.283066 0.516979i −0.0303478 0.0554260i
\(88\) −3.08834 1.78305i −0.329218 0.190074i
\(89\) −2.24658 0.601969i −0.238137 0.0638085i 0.137777 0.990463i \(-0.456004\pi\)
−0.375913 + 0.926655i \(0.622671\pi\)
\(90\) 5.48505 2.84375i 0.578175 0.299758i
\(91\) −8.07913 + 5.07225i −0.846923 + 0.531716i
\(92\) 6.25938i 0.652585i
\(93\) −10.2960 10.7733i −1.06764 1.11713i
\(94\) −0.779084 + 1.34941i −0.0803564 + 0.139181i
\(95\) 5.93818 10.2852i 0.609245 1.05524i
\(96\) −1.25217 + 1.19669i −0.127799 + 0.122137i
\(97\) 11.9267 11.9267i 1.21097 1.21097i 0.240261 0.970708i \(-0.422767\pi\)
0.970708 0.240261i \(-0.0772332\pi\)
\(98\) −6.90007 + 1.17854i −0.697013 + 0.119051i
\(99\) 10.1978 + 3.23401i 1.02492 + 0.325031i
\(100\) −0.379293 0.656955i −0.0379293 0.0656955i
\(101\) −9.58488 + 16.6015i −0.953731 + 1.65191i −0.216484 + 0.976286i \(0.569459\pi\)
−0.737246 + 0.675624i \(0.763874\pi\)
\(102\) −11.7911 3.44743i −1.16749 0.341347i
\(103\) 6.96843 4.02323i 0.686620 0.396420i −0.115724 0.993281i \(-0.536919\pi\)
0.802345 + 0.596861i \(0.203586\pi\)
\(104\) 3.39292 1.21986i 0.332704 0.119618i
\(105\) −8.92610 3.06502i −0.871098 0.299115i
\(106\) −4.68845 + 4.68845i −0.455382 + 0.455382i
\(107\) −0.729345 + 0.421088i −0.0705085 + 0.0407081i −0.534840 0.844954i \(-0.679628\pi\)
0.464331 + 0.885662i \(0.346295\pi\)
\(108\) 2.89760 4.31323i 0.278821 0.415040i
\(109\) −3.43114 12.8052i −0.328643 1.22651i −0.910598 0.413293i \(-0.864379\pi\)
0.581955 0.813221i \(-0.302288\pi\)
\(110\) −1.90084 + 7.09404i −0.181238 + 0.676390i
\(111\) −3.18993 13.0833i −0.302775 1.24181i
\(112\) 2.64291 + 0.122494i 0.249732 + 0.0115746i
\(113\) 2.28160i 0.214635i −0.994225 0.107317i \(-0.965774\pi\)
0.994225 0.107317i \(-0.0342261\pi\)
\(114\) 0.226197 9.98568i 0.0211853 0.935245i
\(115\) −12.4517 + 3.33644i −1.16113 + 0.311124i
\(116\) 0.170145 0.294701i 0.0157976 0.0273623i
\(117\) −9.15501 + 5.76072i −0.846381 + 0.532578i
\(118\) −2.01788 −0.185761
\(119\) 8.62016 + 16.6682i 0.790208 + 1.52797i
\(120\) 3.04802 + 1.85305i 0.278245 + 0.169160i
\(121\) −1.48707 + 0.858559i −0.135188 + 0.0780508i
\(122\) −1.71460 + 0.459425i −0.155232 + 0.0415943i
\(123\) 12.3903 + 3.62261i 1.11719 + 0.326640i
\(124\) 2.22680 8.31053i 0.199972 0.746307i
\(125\) −8.38603 + 8.38603i −0.750069 + 0.750069i
\(126\) −7.82258 + 1.34431i −0.696891 + 0.119761i
\(127\) 7.84238i 0.695899i 0.937513 + 0.347949i \(0.113122\pi\)
−0.937513 + 0.347949i \(0.886878\pi\)
\(128\) −0.965926 0.258819i −0.0853766 0.0228766i
\(129\) −0.356448 0.651002i −0.0313835 0.0573175i
\(130\) −4.23520 6.09930i −0.371451 0.534944i
\(131\) 11.9026 6.87197i 1.03994 0.600407i 0.120120 0.992759i \(-0.461672\pi\)
0.919815 + 0.392352i \(0.128339\pi\)
\(132\) 1.46312 + 6.00089i 0.127348 + 0.522310i
\(133\) −11.2765 + 10.2775i −0.977793 + 0.891170i
\(134\) 12.1453 1.04919
\(135\) −10.1248 3.46510i −0.871403 0.298228i
\(136\) −1.83570 6.85092i −0.157410 0.587462i
\(137\) −3.02154 11.2765i −0.258147 0.963419i −0.966312 0.257372i \(-0.917143\pi\)
0.708165 0.706047i \(-0.249523\pi\)
\(138\) −7.83779 + 7.49057i −0.667197 + 0.637639i
\(139\) 21.4052 1.81557 0.907784 0.419437i \(-0.137773\pi\)
0.907784 + 0.419437i \(0.137773\pi\)
\(140\) −1.16507 5.32283i −0.0984668 0.449861i
\(141\) 2.62202 0.639293i 0.220814 0.0538382i
\(142\) 1.82682 1.05472i 0.153303 0.0885098i
\(143\) 2.28241 12.6536i 0.190865 1.05815i
\(144\) 2.99692 + 0.135843i 0.249744 + 0.0113203i
\(145\) −0.676939 0.181385i −0.0562167 0.0150632i
\(146\) 4.43858i 0.367339i
\(147\) 9.73302 + 7.22969i 0.802766 + 0.596294i
\(148\) 5.49769 5.49769i 0.451908 0.451908i
\(149\) 2.24892 8.39308i 0.184239 0.687588i −0.810554 0.585665i \(-0.800834\pi\)
0.994792 0.101924i \(-0.0324997\pi\)
\(150\) −0.368719 + 1.26111i −0.0301058 + 0.102970i
\(151\) −4.42576 + 1.18588i −0.360163 + 0.0965055i −0.434363 0.900738i \(-0.643026\pi\)
0.0741996 + 0.997243i \(0.476360\pi\)
\(152\) 4.99412 2.88336i 0.405077 0.233871i
\(153\) 9.79358 + 18.8899i 0.791764 + 1.52716i
\(154\) 5.09076 7.94380i 0.410225 0.640130i
\(155\) −17.7190 −1.42323
\(156\) −5.58777 2.78870i −0.447379 0.223275i
\(157\) −0.998255 + 1.72903i −0.0796694 + 0.137992i −0.903107 0.429415i \(-0.858720\pi\)
0.823438 + 0.567406i \(0.192053\pi\)
\(158\) −8.65764 + 2.31981i −0.688765 + 0.184554i
\(159\) 11.4814 + 0.260077i 0.910531 + 0.0206255i
\(160\) 2.05947i 0.162815i
\(161\) 16.5430 + 0.766739i 1.30377 + 0.0604275i
\(162\) −8.86842 + 1.53334i −0.696769 + 0.120471i
\(163\) −4.37826 + 16.3399i −0.342932 + 1.27984i 0.552078 + 0.833792i \(0.313835\pi\)
−0.895010 + 0.446046i \(0.852832\pi\)
\(164\) 1.92898 + 7.19905i 0.150628 + 0.562151i
\(165\) 11.1576 6.10923i 0.868621 0.475603i
\(166\) 9.95830 5.74943i 0.772914 0.446242i
\(167\) 5.20220 5.20220i 0.402558 0.402558i −0.476575 0.879134i \(-0.658122\pi\)
0.879134 + 0.476575i \(0.158122\pi\)
\(168\) −3.00938 3.45596i −0.232179 0.266633i
\(169\) 8.27781 + 10.0239i 0.636755 + 0.771066i
\(170\) −12.6500 + 7.30349i −0.970212 + 0.560152i
\(171\) −12.7744 + 11.6666i −0.976885 + 0.892165i
\(172\) 0.214254 0.371099i 0.0163367 0.0282960i
\(173\) 7.84476 + 13.5875i 0.596426 + 1.03304i 0.993344 + 0.115186i \(0.0367465\pi\)
−0.396918 + 0.917854i \(0.629920\pi\)
\(174\) −0.572627 + 0.139616i −0.0434107 + 0.0105843i
\(175\) 1.78274 0.921967i 0.134762 0.0696941i
\(176\) −2.52162 + 2.52162i −0.190074 + 0.190074i
\(177\) 2.41478 + 2.52672i 0.181506 + 0.189920i
\(178\) −1.16291 + 2.01423i −0.0871641 + 0.150973i
\(179\) −1.69754 + 2.94023i −0.126880 + 0.219763i −0.922466 0.386078i \(-0.873830\pi\)
0.795586 + 0.605841i \(0.207163\pi\)
\(180\) −1.32722 6.03417i −0.0989249 0.449761i
\(181\) 21.4107i 1.59145i −0.605661 0.795723i \(-0.707091\pi\)
0.605661 0.795723i \(-0.292909\pi\)
\(182\) 2.80838 + 9.11663i 0.208171 + 0.675770i
\(183\) 2.62712 + 1.59717i 0.194203 + 0.118066i
\(184\) −6.04610 1.62005i −0.445724 0.119431i
\(185\) −13.8670 8.00610i −1.01952 0.588620i
\(186\) −13.0710 + 7.15684i −0.958409 + 0.524765i
\(187\) −24.4311 6.54630i −1.78658 0.478713i
\(188\) 1.10179 + 1.10179i 0.0803564 + 0.0803564i
\(189\) 11.0445 + 8.18645i 0.803373 + 0.595476i
\(190\) −8.39786 8.39786i −0.609245 0.609245i
\(191\) −6.36942 + 3.67739i −0.460875 + 0.266086i −0.712412 0.701761i \(-0.752397\pi\)
0.251537 + 0.967848i \(0.419064\pi\)
\(192\) 0.831834 + 1.51923i 0.0600324 + 0.109641i
\(193\) −8.95326 + 2.39902i −0.644470 + 0.172685i −0.566227 0.824249i \(-0.691598\pi\)
−0.0782426 + 0.996934i \(0.524931\pi\)
\(194\) −8.43343 14.6071i −0.605485 1.04873i
\(195\) −2.56910 + 12.6022i −0.183977 + 0.902461i
\(196\) −0.647484 + 6.96999i −0.0462489 + 0.497856i
\(197\) −13.6917 13.6917i −0.975490 0.975490i 0.0242167 0.999707i \(-0.492291\pi\)
−0.999707 + 0.0242167i \(0.992291\pi\)
\(198\) 5.76320 9.01330i 0.409573 0.640547i
\(199\) 5.65413 + 3.26442i 0.400811 + 0.231408i 0.686834 0.726814i \(-0.259000\pi\)
−0.286023 + 0.958223i \(0.592333\pi\)
\(200\) −0.732739 + 0.196337i −0.0518124 + 0.0138831i
\(201\) −14.5342 15.2079i −1.02516 1.07269i
\(202\) 13.5551 + 13.5551i 0.953731 + 0.953731i
\(203\) 0.758027 + 0.485779i 0.0532030 + 0.0340950i
\(204\) −6.38173 + 10.4971i −0.446810 + 0.734941i
\(205\) 13.2928 7.67462i 0.928411 0.536018i
\(206\) −2.08258 7.77228i −0.145100 0.541520i
\(207\) 18.7589 + 0.850293i 1.30383 + 0.0590995i
\(208\) −0.300145 3.59304i −0.0208113 0.249132i
\(209\) 20.5647i 1.42249i
\(210\) −5.27083 + 7.82867i −0.363722 + 0.540229i
\(211\) −8.69638 −0.598683 −0.299342 0.954146i \(-0.596767\pi\)
−0.299342 + 0.954146i \(0.596767\pi\)
\(212\) 3.31523 + 5.74215i 0.227691 + 0.394373i
\(213\) −3.50683 1.02531i −0.240284 0.0702532i
\(214\) 0.217971 + 0.813479i 0.0149002 + 0.0556083i
\(215\) −0.852429 0.228408i −0.0581352 0.0155773i
\(216\) −3.41630 3.91521i −0.232450 0.266396i
\(217\) 21.6912 + 6.90323i 1.47250 + 0.468622i
\(218\) −13.2569 −0.897870
\(219\) −5.55784 + 5.31162i −0.375564 + 0.358926i
\(220\) 6.36034 + 3.67214i 0.428814 + 0.247576i
\(221\) 21.0054 14.5856i 1.41297 0.981132i
\(222\) −13.4631 0.304968i −0.903583 0.0204681i
\(223\) 2.74582 2.74582i 0.183874 0.183874i −0.609168 0.793041i \(-0.708496\pi\)
0.793041 + 0.609168i \(0.208496\pi\)
\(224\) 0.802357 2.52116i 0.0536097 0.168452i
\(225\) 2.02037 1.04747i 0.134691 0.0698314i
\(226\) −2.20386 0.590522i −0.146598 0.0392809i
\(227\) −14.5848 + 3.90799i −0.968029 + 0.259383i −0.707996 0.706217i \(-0.750400\pi\)
−0.260034 + 0.965600i \(0.583734\pi\)
\(228\) −9.58688 2.80297i −0.634907 0.185631i
\(229\) −0.314817 + 1.17491i −0.0208037 + 0.0776406i −0.975547 0.219790i \(-0.929463\pi\)
0.954744 + 0.297430i \(0.0961296\pi\)
\(230\) 12.8910i 0.850007i
\(231\) −16.0391 + 3.13182i −1.05529 + 0.206059i
\(232\) −0.240622 0.240622i −0.0157976 0.0157976i
\(233\) 3.06855 + 5.31488i 0.201027 + 0.348189i 0.948860 0.315698i \(-0.102239\pi\)
−0.747833 + 0.663887i \(0.768905\pi\)
\(234\) 3.19493 + 10.3340i 0.208859 + 0.675557i
\(235\) 1.60450 2.77908i 0.104666 0.181287i
\(236\) −0.522265 + 1.94912i −0.0339966 + 0.126877i
\(237\) 13.2653 + 8.06471i 0.861676 + 0.523859i
\(238\) 18.3313 4.01240i 1.18824 0.260085i
\(239\) −2.53094 2.53094i −0.163713 0.163713i 0.620496 0.784209i \(-0.286931\pi\)
−0.784209 + 0.620496i \(0.786931\pi\)
\(240\) 2.57880 2.46456i 0.166461 0.159086i
\(241\) 10.5228 2.81958i 0.677834 0.181625i 0.0965526 0.995328i \(-0.469218\pi\)
0.581281 + 0.813703i \(0.302552\pi\)
\(242\) 0.444423 + 1.65861i 0.0285686 + 0.106619i
\(243\) 12.5328 + 9.26980i 0.803979 + 0.594658i
\(244\) 1.77508i 0.113638i
\(245\) 14.2105 2.42718i 0.907875 0.155067i
\(246\) 6.70601 11.0305i 0.427560 0.703277i
\(247\) 15.8752 + 13.4274i 1.01011 + 0.854363i
\(248\) −7.45101 4.30184i −0.473140 0.273167i
\(249\) −19.1163 5.58914i −1.21145 0.354198i
\(250\) 5.92982 + 10.2707i 0.375034 + 0.649579i
\(251\) −11.3906 −0.718967 −0.359483 0.933151i \(-0.617047\pi\)
−0.359483 + 0.933151i \(0.617047\pi\)
\(252\) −0.726128 + 7.90397i −0.0457418 + 0.497903i
\(253\) −15.7838 + 15.7838i −0.992317 + 0.992317i
\(254\) 7.57516 + 2.02976i 0.475308 + 0.127358i
\(255\) 24.2834 + 7.09988i 1.52069 + 0.444612i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 3.02138 + 5.23318i 0.188468 + 0.326437i 0.944740 0.327821i \(-0.106314\pi\)
−0.756271 + 0.654258i \(0.772981\pi\)
\(258\) −0.721075 + 0.175810i −0.0448922 + 0.0109455i
\(259\) 13.8565 + 15.2034i 0.861001 + 0.944691i
\(260\) −6.98762 + 2.51227i −0.433354 + 0.155805i
\(261\) 0.860082 + 0.549946i 0.0532377 + 0.0340408i
\(262\) −3.55719 13.2756i −0.219764 0.820171i
\(263\) 11.9684 + 6.90998i 0.738006 + 0.426088i 0.821344 0.570434i \(-0.193225\pi\)
−0.0833381 + 0.996521i \(0.526558\pi\)
\(264\) 6.17509 + 0.139879i 0.380051 + 0.00860896i
\(265\) 9.65571 9.65571i 0.593146 0.593146i
\(266\) 7.00871 + 13.5522i 0.429732 + 0.830940i
\(267\) 3.91380 0.954252i 0.239521 0.0583993i
\(268\) 3.14344 11.7315i 0.192016 0.716613i
\(269\) 18.7675 + 10.8354i 1.14428 + 0.660648i 0.947486 0.319798i \(-0.103615\pi\)
0.196790 + 0.980446i \(0.436948\pi\)
\(270\) −5.96751 + 8.88296i −0.363171 + 0.540600i
\(271\) 0.678087 2.53065i 0.0411908 0.153726i −0.942267 0.334861i \(-0.891310\pi\)
0.983458 + 0.181135i \(0.0579771\pi\)
\(272\) −7.09260 −0.430052
\(273\) 8.05477 14.4264i 0.487497 0.873125i
\(274\) −11.6743 −0.705271
\(275\) −0.700158 + 2.61302i −0.0422211 + 0.157571i
\(276\) 5.20676 + 9.50942i 0.313410 + 0.572400i
\(277\) 1.39339 + 0.804475i 0.0837208 + 0.0483362i 0.541276 0.840845i \(-0.317941\pi\)
−0.457555 + 0.889181i \(0.651275\pi\)
\(278\) 5.54008 20.6759i 0.332272 1.24006i
\(279\) 24.6035 + 7.80247i 1.47297 + 0.467122i
\(280\) −5.44300 0.252273i −0.325281 0.0150762i
\(281\) −7.24549 + 7.24549i −0.432230 + 0.432230i −0.889386 0.457156i \(-0.848868\pi\)
0.457156 + 0.889386i \(0.348868\pi\)
\(282\) 0.0611185 2.69813i 0.00363955 0.160672i
\(283\) 9.21099 + 5.31797i 0.547537 + 0.316120i 0.748128 0.663555i \(-0.230953\pi\)
−0.200591 + 0.979675i \(0.564286\pi\)
\(284\) −0.545961 2.03755i −0.0323968 0.120907i
\(285\) −0.465846 + 20.5652i −0.0275943 + 1.21818i
\(286\) −11.6317 5.47963i −0.687796 0.324017i
\(287\) −19.2628 + 4.21628i −1.13704 + 0.248879i
\(288\) 0.906875 2.85965i 0.0534381 0.168506i
\(289\) −16.6525 28.8429i −0.979557 1.69664i
\(290\) −0.350409 + 0.606927i −0.0205767 + 0.0356400i
\(291\) −8.19832 + 28.0403i −0.480594 + 1.64375i
\(292\) −4.28734 1.14879i −0.250897 0.0672277i
\(293\) −13.4623 + 13.4623i −0.786477 + 0.786477i −0.980915 0.194438i \(-0.937712\pi\)
0.194438 + 0.980915i \(0.437712\pi\)
\(294\) 9.50243 7.53019i 0.554193 0.439170i
\(295\) 4.15576 0.241957
\(296\) −3.88746 6.73327i −0.225954 0.391363i
\(297\) −18.1829 + 3.56968i −1.05508 + 0.207134i
\(298\) −7.52503 4.34458i −0.435913 0.251675i
\(299\) −1.87872 22.4902i −0.108649 1.30064i
\(300\) 1.12271 + 0.682556i 0.0648197 + 0.0394074i
\(301\) 0.954538 + 0.611713i 0.0550187 + 0.0352586i
\(302\) 4.58188i 0.263658i
\(303\) 0.751925 33.1945i 0.0431970 1.90697i
\(304\) −1.49254 5.57022i −0.0856028 0.319474i
\(305\) 3.53116 0.946171i 0.202193 0.0541776i
\(306\) 20.7811 4.57080i 1.18797 0.261295i
\(307\) −19.3297 19.3297i −1.10320 1.10320i −0.994022 0.109180i \(-0.965178\pi\)
−0.109180 0.994022i \(-0.534822\pi\)
\(308\) −6.35554 6.97330i −0.362140 0.397341i
\(309\) −7.23998 + 11.9088i −0.411868 + 0.677467i
\(310\) −4.58602 + 17.1153i −0.260469 + 0.972082i
\(311\) −3.15032 + 5.45652i −0.178639 + 0.309411i −0.941414 0.337252i \(-0.890503\pi\)
0.762776 + 0.646663i \(0.223836\pi\)
\(312\) −4.13990 + 4.67560i −0.234376 + 0.264704i
\(313\) 11.4585 + 19.8468i 0.647675 + 1.12181i 0.983677 + 0.179945i \(0.0575919\pi\)
−0.336002 + 0.941861i \(0.609075\pi\)
\(314\) 1.41175 + 1.41175i 0.0796694 + 0.0796694i
\(315\) 16.1104 2.76857i 0.907717 0.155991i
\(316\) 8.96305i 0.504211i
\(317\) −0.681102 + 2.54191i −0.0382545 + 0.142768i −0.982412 0.186727i \(-0.940212\pi\)
0.944157 + 0.329495i \(0.106879\pi\)
\(318\) 3.22281 11.0228i 0.180726 0.618130i
\(319\) −1.17216 + 0.314081i −0.0656286 + 0.0175851i
\(320\) 1.98929 + 0.533030i 0.111205 + 0.0297973i
\(321\) 0.757766 1.24642i 0.0422944 0.0695685i
\(322\) 5.02226 15.7809i 0.279879 0.879433i
\(323\) 28.9214 28.9214i 1.60923 1.60923i
\(324\) −0.814222 + 8.96309i −0.0452346 + 0.497950i
\(325\) −1.56000 2.24662i −0.0865331 0.124620i
\(326\) 14.6499 + 8.45814i 0.811385 + 0.468453i
\(327\) 15.8645 + 16.5998i 0.877307 + 0.917973i
\(328\) 7.45300 0.411523
\(329\) −3.04690 + 2.77698i −0.167981 + 0.153100i
\(330\) −3.01325 12.3586i −0.165874 0.680321i
\(331\) 19.9451 + 5.34427i 1.09628 + 0.293748i 0.761250 0.648459i \(-0.224586\pi\)
0.335032 + 0.942207i \(0.391253\pi\)
\(332\) −2.97612 11.1070i −0.163336 0.609578i
\(333\) 15.7293 + 17.2230i 0.861963 + 0.943814i
\(334\) −3.67851 6.37136i −0.201279 0.348626i
\(335\) −25.0129 −1.36660
\(336\) −4.11708 + 2.01237i −0.224605 + 0.109784i
\(337\) 34.3237i 1.86973i 0.354999 + 0.934867i \(0.384481\pi\)
−0.354999 + 0.934867i \(0.615519\pi\)
\(338\) 11.8248 5.40139i 0.643182 0.293797i
\(339\) 1.89791 + 3.46627i 0.103080 + 0.188262i
\(340\) 3.78057 + 14.1093i 0.205030 + 0.765182i
\(341\) −26.5711 + 15.3408i −1.43891 + 0.830753i
\(342\) 7.96278 + 15.3587i 0.430578 + 0.830502i
\(343\) −18.3418 2.56503i −0.990363 0.138499i
\(344\) −0.303001 0.303001i −0.0163367 0.0163367i
\(345\) 16.1417 15.4266i 0.869039 0.830540i
\(346\) 15.1549 4.06075i 0.814733 0.218307i
\(347\) 11.7055 + 6.75818i 0.628385 + 0.362798i 0.780126 0.625622i \(-0.215155\pi\)
−0.151741 + 0.988420i \(0.548488\pi\)
\(348\) −0.0133478 + 0.589250i −0.000715516 + 0.0315871i
\(349\) 6.08708 + 6.08708i 0.325834 + 0.325834i 0.851000 0.525166i \(-0.175997\pi\)
−0.525166 + 0.851000i \(0.675997\pi\)
\(350\) −0.429145 1.96062i −0.0229388 0.104799i
\(351\) 9.11658 16.3673i 0.486607 0.873621i
\(352\) 1.78305 + 3.08834i 0.0950371 + 0.164609i
\(353\) −23.0739 + 6.18263i −1.22810 + 0.329068i −0.813839 0.581090i \(-0.802626\pi\)
−0.414260 + 0.910159i \(0.635960\pi\)
\(354\) 3.06561 1.67854i 0.162936 0.0892133i
\(355\) −3.76228 + 2.17215i −0.199681 + 0.115286i
\(356\) 1.64461 + 1.64461i 0.0871641 + 0.0871641i
\(357\) −26.9611 18.1522i −1.42693 0.960715i
\(358\) 2.40069 + 2.40069i 0.126880 + 0.126880i
\(359\) 7.33651 + 1.96581i 0.387206 + 0.103752i 0.447170 0.894449i \(-0.352432\pi\)
−0.0599637 + 0.998201i \(0.519099\pi\)
\(360\) −6.17207 0.279765i −0.325297 0.0147449i
\(361\) 12.3452 + 7.12749i 0.649746 + 0.375131i
\(362\) −20.6812 5.54150i −1.08698 0.291255i
\(363\) 1.54502 2.54134i 0.0810923 0.133386i
\(364\) 9.53285 0.353131i 0.499657 0.0185091i
\(365\) 9.14111i 0.478468i
\(366\) 2.22270 2.12423i 0.116182 0.111035i
\(367\) 6.10777 10.5790i 0.318823 0.552218i −0.661420 0.750016i \(-0.730046\pi\)
0.980243 + 0.197798i \(0.0633791\pi\)
\(368\) −3.12969 + 5.42078i −0.163146 + 0.282578i
\(369\) −21.8370 + 4.80306i −1.13679 + 0.250037i
\(370\) −11.3223 + 11.3223i −0.588620 + 0.588620i
\(371\) −15.5821 + 8.05850i −0.808983 + 0.418376i
\(372\) 3.52996 + 14.4779i 0.183020 + 0.750644i
\(373\) 2.63091 + 4.55686i 0.136223 + 0.235945i 0.926064 0.377366i \(-0.123170\pi\)
−0.789841 + 0.613312i \(0.789837\pi\)
\(374\) −12.6465 + 21.9043i −0.653934 + 1.13265i
\(375\) 5.76450 19.7161i 0.297678 1.01813i
\(376\) 1.34941 0.779084i 0.0695907 0.0401782i
\(377\) 0.522886 1.10994i 0.0269300 0.0571647i
\(378\) 10.7660 8.54941i 0.553745 0.439734i
\(379\) −10.6483 + 10.6483i −0.546967 + 0.546967i −0.925562 0.378595i \(-0.876407\pi\)
0.378595 + 0.925562i \(0.376407\pi\)
\(380\) −10.2852 + 5.93818i −0.527622 + 0.304622i
\(381\) −6.52356 11.9144i −0.334212 0.610391i
\(382\) 1.90355 + 7.10416i 0.0973943 + 0.363481i
\(383\) 4.07334 15.2019i 0.208138 0.776781i −0.780332 0.625365i \(-0.784950\pi\)
0.988470 0.151416i \(-0.0483833\pi\)
\(384\) 1.68276 0.410285i 0.0858728 0.0209373i
\(385\) −10.4843 + 16.3600i −0.534328 + 0.833783i
\(386\) 9.26910i 0.471785i
\(387\) 1.08305 + 0.692515i 0.0550546 + 0.0352025i
\(388\) −16.2921 + 4.36546i −0.827108 + 0.221623i
\(389\) 7.87823 13.6455i 0.399442 0.691854i −0.594215 0.804306i \(-0.702537\pi\)
0.993657 + 0.112452i \(0.0358705\pi\)
\(390\) 11.5078 + 5.74324i 0.582722 + 0.290820i
\(391\) −44.3953 −2.24516
\(392\) 6.56491 + 2.42939i 0.331578 + 0.122703i
\(393\) −12.3664 + 20.3411i −0.623804 + 1.02607i
\(394\) −16.7688 + 9.68146i −0.844799 + 0.487745i
\(395\) 17.8301 4.77757i 0.897132 0.240386i
\(396\) −7.21455 7.89964i −0.362545 0.396972i
\(397\) −2.61571 + 9.76195i −0.131279 + 0.489938i −0.999985 0.00538814i \(-0.998285\pi\)
0.868707 + 0.495326i \(0.164952\pi\)
\(398\) 4.61658 4.61658i 0.231408 0.231408i
\(399\) 8.58236 24.9940i 0.429655 1.25126i
\(400\) 0.758587i 0.0379293i
\(401\) −31.9787 8.56867i −1.59694 0.427899i −0.652824 0.757510i \(-0.726416\pi\)
−0.944117 + 0.329611i \(0.893082\pi\)
\(402\) −18.4515 + 10.1029i −0.920276 + 0.503885i
\(403\) 5.50661 30.5284i 0.274304 1.52073i
\(404\) 16.6015 9.58488i 0.825955 0.476865i
\(405\) 18.2642 3.15787i 0.907557 0.156916i
\(406\) 0.665418 0.606469i 0.0330242 0.0300985i
\(407\) −27.7262 −1.37434
\(408\) 8.48767 + 8.88111i 0.420202 + 0.439681i
\(409\) −5.76463 21.5139i −0.285042 1.06379i −0.948808 0.315852i \(-0.897710\pi\)
0.663766 0.747940i \(-0.268957\pi\)
\(410\) −3.97267 14.8262i −0.196196 0.732215i
\(411\) 13.9706 + 14.6182i 0.689119 + 0.721062i
\(412\) −8.04646 −0.396420
\(413\) −5.08738 1.61906i −0.250334 0.0796686i
\(414\) 5.67648 17.8996i 0.278984 0.879718i
\(415\) −20.5088 + 11.8408i −1.00674 + 0.581240i
\(416\) −3.54829 0.640028i −0.173969 0.0313800i
\(417\) −32.5194 + 17.8056i −1.59248 + 0.871944i
\(418\) −19.8640 5.32254i −0.971580 0.260334i
\(419\) 2.14134i 0.104611i −0.998631 0.0523057i \(-0.983343\pi\)
0.998631 0.0523057i \(-0.0166570\pi\)
\(420\) 6.19772 + 7.11744i 0.302418 + 0.347295i
\(421\) −4.67526 + 4.67526i −0.227858 + 0.227858i −0.811797 0.583939i \(-0.801511\pi\)
0.583939 + 0.811797i \(0.301511\pi\)
\(422\) −2.25079 + 8.40006i −0.109567 + 0.408908i
\(423\) −3.45165 + 3.15231i −0.167825 + 0.153271i
\(424\) 6.40454 1.71609i 0.311032 0.0833408i
\(425\) −4.65952 + 2.69018i −0.226020 + 0.130493i
\(426\) −1.89801 + 3.12197i −0.0919589 + 0.151260i
\(427\) −4.69138 0.217437i −0.227032 0.0105225i
\(428\) 0.842175 0.0407081
\(429\) 7.05818 + 21.1223i 0.340772 + 1.01979i
\(430\) −0.441250 + 0.764267i −0.0212790 + 0.0368562i
\(431\) 21.6860 5.81075i 1.04458 0.279894i 0.304569 0.952490i \(-0.401488\pi\)
0.740009 + 0.672596i \(0.234821\pi\)
\(432\) −4.66601 + 2.28657i −0.224493 + 0.110012i
\(433\) 21.9443i 1.05458i 0.849687 + 0.527288i \(0.176791\pi\)
−0.849687 + 0.527288i \(0.823209\pi\)
\(434\) 12.2821 19.1654i 0.589560 0.919970i
\(435\) 1.17931 0.287535i 0.0565434 0.0137863i
\(436\) −3.43114 + 12.8052i −0.164322 + 0.613257i
\(437\) −9.34235 34.8661i −0.446905 1.66787i
\(438\) 3.69216 + 6.74321i 0.176418 + 0.322203i
\(439\) 5.76484 3.32833i 0.275141 0.158853i −0.356081 0.934455i \(-0.615887\pi\)
0.631222 + 0.775603i \(0.282554\pi\)
\(440\) 5.19319 5.19319i 0.247576 0.247576i
\(441\) −20.8006 2.88729i −0.990503 0.137490i
\(442\) −8.65200 24.0646i −0.411534 1.14464i
\(443\) 12.0003 6.92836i 0.570150 0.329176i −0.187059 0.982349i \(-0.559896\pi\)
0.757209 + 0.653172i \(0.226562\pi\)
\(444\) −3.77908 + 12.9254i −0.179347 + 0.613413i
\(445\) 2.39499 4.14824i 0.113533 0.196645i
\(446\) −1.94159 3.36293i −0.0919369 0.159239i
\(447\) 3.56503 + 14.6217i 0.168620 + 0.691584i
\(448\) −2.22758 1.42754i −0.105243 0.0674449i
\(449\) −0.760702 + 0.760702i −0.0358998 + 0.0358998i −0.724829 0.688929i \(-0.758081\pi\)
0.688929 + 0.724829i \(0.258081\pi\)
\(450\) −0.488869 2.22263i −0.0230455 0.104776i
\(451\) 13.2891 23.0174i 0.625759 1.08385i
\(452\) −1.14080 + 1.97592i −0.0536587 + 0.0929397i
\(453\) 5.73728 5.48312i 0.269561 0.257619i
\(454\) 15.0993i 0.708647i
\(455\) −5.78378 18.7754i −0.271148 0.880205i
\(456\) −5.18873 + 8.53475i −0.242985 + 0.399676i
\(457\) 17.7240 + 4.74912i 0.829092 + 0.222155i 0.648318 0.761370i \(-0.275473\pi\)
0.180775 + 0.983525i \(0.442140\pi\)
\(458\) 1.05340 + 0.608181i 0.0492221 + 0.0284184i
\(459\) −30.5920 20.5515i −1.42791 0.959261i
\(460\) 12.4517 + 3.33644i 0.580566 + 0.155562i
\(461\) 12.6810 + 12.6810i 0.590615 + 0.590615i 0.937797 0.347183i \(-0.112862\pi\)
−0.347183 + 0.937797i \(0.612862\pi\)
\(462\) −1.12610 + 16.3031i −0.0523910 + 0.758489i
\(463\) −18.1175 18.1175i −0.841992 0.841992i 0.147126 0.989118i \(-0.452998\pi\)
−0.989118 + 0.147126i \(0.952998\pi\)
\(464\) −0.294701 + 0.170145i −0.0136811 + 0.00789881i
\(465\) 26.9192 14.7393i 1.24835 0.683518i
\(466\) 5.92797 1.58840i 0.274608 0.0735810i
\(467\) 12.7135 + 22.0204i 0.588310 + 1.01898i 0.994454 + 0.105174i \(0.0335399\pi\)
−0.406144 + 0.913809i \(0.633127\pi\)
\(468\) 10.8088 0.411422i 0.499638 0.0190180i
\(469\) 30.6202 + 9.74487i 1.41391 + 0.449976i
\(470\) −2.26911 2.26911i −0.104666 0.104666i
\(471\) 0.0783123 3.45717i 0.00360844 0.159298i
\(472\) 1.74753 + 1.00894i 0.0804367 + 0.0464402i
\(473\) −1.47604 + 0.395503i −0.0678683 + 0.0181853i
\(474\) 11.2232 10.7260i 0.515500 0.492663i
\(475\) −3.09328 3.09328i −0.141929 0.141929i
\(476\) 0.868803 18.7451i 0.0398215 0.859181i
\(477\) −17.6591 + 9.15547i −0.808557 + 0.419200i
\(478\) −3.09975 + 1.78964i −0.141779 + 0.0818564i
\(479\) 3.58545 + 13.3811i 0.163823 + 0.611397i 0.998187 + 0.0601830i \(0.0191684\pi\)
−0.834364 + 0.551214i \(0.814165\pi\)
\(480\) −1.71314 3.12880i −0.0781936 0.142810i
\(481\) 18.1033 21.4035i 0.825440 0.975917i
\(482\) 10.8940i 0.496209i
\(483\) −25.7704 + 12.5962i −1.17259 + 0.573146i
\(484\) 1.71712 0.0780508
\(485\) 17.3684 + 30.0829i 0.788658 + 1.36600i
\(486\) 12.1977 9.70654i 0.553297 0.440298i
\(487\) −3.65198 13.6294i −0.165487 0.617606i −0.997978 0.0635670i \(-0.979752\pi\)
0.832490 0.554039i \(-0.186914\pi\)
\(488\) 1.71460 + 0.459425i 0.0776161 + 0.0207972i
\(489\) −6.94050 28.4660i −0.313860 1.28728i
\(490\) 1.33347 14.3545i 0.0602402 0.648469i
\(491\) 33.7611 1.52362 0.761809 0.647802i \(-0.224312\pi\)
0.761809 + 0.647802i \(0.224312\pi\)
\(492\) −8.91897 9.33240i −0.402098 0.420737i
\(493\) −2.09019 1.20677i −0.0941375 0.0543503i
\(494\) 17.0786 11.8590i 0.768404 0.533560i
\(495\) −11.8691 + 18.5626i −0.533478 + 0.834327i
\(496\) −6.08373 + 6.08373i −0.273167 + 0.273167i
\(497\) 5.45196 1.19334i 0.244554 0.0535286i
\(498\) −10.3464 + 17.0183i −0.463631 + 0.762610i
\(499\) −8.12039 2.17585i −0.363519 0.0974045i 0.0724362 0.997373i \(-0.476923\pi\)
−0.435955 + 0.899968i \(0.643589\pi\)
\(500\) 11.4555 3.06950i 0.512307 0.137272i
\(501\) −3.57596 + 12.2307i −0.159762 + 0.546427i
\(502\) −2.94810 + 11.0025i −0.131580 + 0.491064i
\(503\) 15.3123i 0.682741i −0.939929 0.341371i \(-0.889109\pi\)
0.939929 0.341371i \(-0.110891\pi\)
\(504\) 7.44671 + 2.74708i 0.331703 + 0.122365i
\(505\) −27.9162 27.9162i −1.24226 1.24226i
\(506\) 11.1608 + 19.3311i 0.496158 + 0.859372i
\(507\) −20.9141 8.34276i −0.928826 0.370515i
\(508\) 3.92119 6.79170i 0.173975 0.301333i
\(509\) 10.2170 38.1303i 0.452860 1.69010i −0.241444 0.970415i \(-0.577621\pi\)
0.694304 0.719681i \(-0.255712\pi\)
\(510\) 13.1430 21.6184i 0.581980 0.957278i
\(511\) 3.56132 11.1903i 0.157544 0.495031i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 9.70261 28.3504i 0.428381 1.25170i
\(514\) 5.83685 1.56398i 0.257452 0.0689842i
\(515\) 4.28900 + 16.0068i 0.188996 + 0.705343i
\(516\) −0.0168081 + 0.742008i −0.000739934 + 0.0326651i
\(517\) 5.55660i 0.244379i
\(518\) 18.2717 9.44943i 0.802810 0.415184i
\(519\) −23.2205 14.1170i −1.01927 0.619668i
\(520\) 0.618140 + 7.39975i 0.0271072 + 0.324500i
\(521\) 4.76089 + 2.74870i 0.208579 + 0.120423i 0.600651 0.799512i \(-0.294908\pi\)
−0.392072 + 0.919935i \(0.628242\pi\)
\(522\) 0.753813 0.688439i 0.0329935 0.0301322i
\(523\) 19.2984 + 33.4258i 0.843860 + 1.46161i 0.886607 + 0.462523i \(0.153056\pi\)
−0.0427471 + 0.999086i \(0.513611\pi\)
\(524\) −13.7439 −0.600407
\(525\) −1.94146 + 2.88362i −0.0847324 + 0.125851i
\(526\) 9.77219 9.77219i 0.426088 0.426088i
\(527\) −58.9432 15.7938i −2.56761 0.687988i
\(528\) 1.73334 5.92848i 0.0754341 0.258004i
\(529\) −8.08992 + 14.0121i −0.351736 + 0.609224i
\(530\) −6.82762 11.8258i −0.296573 0.513679i
\(531\) −5.77042 1.82996i −0.250415 0.0794136i
\(532\) 14.9044 3.26232i 0.646189 0.141440i
\(533\) 9.09165 + 25.2875i 0.393803 + 1.09532i
\(534\) 0.0912296 4.02742i 0.00394789 0.174283i
\(535\) −0.448905 1.67533i −0.0194078 0.0724310i
\(536\) −10.5181 6.07265i −0.454314 0.262299i
\(537\) 0.133171 5.87895i 0.00574674 0.253695i
\(538\) 15.3236 15.3236i 0.660648 0.660648i
\(539\) 19.2084 15.9429i 0.827363 0.686711i
\(540\) 7.03577 + 8.06325i 0.302771 + 0.346987i
\(541\) 8.01593 29.9159i 0.344632 1.28618i −0.548410 0.836209i \(-0.684767\pi\)
0.893042 0.449973i \(-0.148567\pi\)
\(542\) −2.26892 1.30996i −0.0974586 0.0562677i
\(543\) 17.8102 + 32.5278i 0.764307 + 1.39590i
\(544\) −1.83570 + 6.85092i −0.0787049 + 0.293731i
\(545\) 27.3022 1.16950
\(546\) −11.8501 11.5141i −0.507137 0.492759i
\(547\) 31.8987 1.36389 0.681944 0.731404i \(-0.261135\pi\)
0.681944 + 0.731404i \(0.261135\pi\)
\(548\) −3.02154 + 11.2765i −0.129074 + 0.481709i
\(549\) −5.31978 0.241132i −0.227043 0.0102913i
\(550\) 2.34277 + 1.35260i 0.0998962 + 0.0576751i
\(551\) 0.507896 1.89549i 0.0216371 0.0807508i
\(552\) 10.5330 2.56813i 0.448315 0.109307i
\(553\) −23.6886 1.09792i −1.00734 0.0466884i
\(554\) 1.13770 1.13770i 0.0483362 0.0483362i
\(555\) 27.7268 + 0.628071i 1.17694 + 0.0266602i
\(556\) −18.5375 10.7026i −0.786164 0.453892i
\(557\) −6.74800 25.1839i −0.285922 1.06708i −0.948163 0.317784i \(-0.897061\pi\)
0.662241 0.749291i \(-0.269605\pi\)
\(558\) 13.9045 21.7457i 0.588623 0.920570i
\(559\) 0.658440 1.39768i 0.0278490 0.0591156i
\(560\) −1.65243 + 5.19224i −0.0698279 + 0.219412i
\(561\) 42.5619 10.3773i 1.79696 0.438131i
\(562\) 5.12334 + 8.87388i 0.216115 + 0.374322i
\(563\) 16.1891 28.0403i 0.682289 1.18176i −0.291991 0.956421i \(-0.594318\pi\)
0.974281 0.225339i \(-0.0723488\pi\)
\(564\) −2.59038 0.757365i −0.109075 0.0318908i
\(565\) 4.53878 + 1.21616i 0.190948 + 0.0511643i
\(566\) 7.52074 7.52074i 0.316120 0.316120i
\(567\) −23.5889 3.24985i −0.990643 0.136481i
\(568\) −2.10943 −0.0885098
\(569\) 7.24779 + 12.5535i 0.303843 + 0.526272i 0.977003 0.213225i \(-0.0683967\pi\)
−0.673160 + 0.739497i \(0.735063\pi\)
\(570\) 19.7439 + 5.77264i 0.826980 + 0.241789i
\(571\) −15.0070 8.66430i −0.628024 0.362590i 0.151963 0.988386i \(-0.451441\pi\)
−0.779986 + 0.625797i \(0.784774\pi\)
\(572\) −8.30342 + 9.81712i −0.347183 + 0.410474i
\(573\) 6.61762 10.8851i 0.276455 0.454731i
\(574\) −0.912951 + 19.6976i −0.0381059 + 0.822164i
\(575\) 4.74828i 0.198017i
\(576\) −2.52749 1.61610i −0.105312 0.0673377i
\(577\) 11.9263 + 44.5096i 0.496498 + 1.85296i 0.521471 + 0.853269i \(0.325383\pi\)
−0.0249728 + 0.999688i \(0.507950\pi\)
\(578\) −32.1701 + 8.61995i −1.33810 + 0.358543i
\(579\) 11.6065 11.0923i 0.482348 0.460980i
\(580\) 0.495554 + 0.495554i 0.0205767 + 0.0205767i
\(581\) 29.7195 6.50509i 1.23297 0.269876i
\(582\) 24.9630 + 15.1763i 1.03475 + 0.629079i
\(583\) 6.11976 22.8393i 0.253455 0.945906i
\(584\) −2.21929 + 3.84392i −0.0918348 + 0.159063i
\(585\) −6.57987 21.2826i −0.272044 0.879929i
\(586\) 9.51930 + 16.4879i 0.393239 + 0.681109i
\(587\) −18.9172 18.9172i −0.780798 0.780798i 0.199168 0.979965i \(-0.436176\pi\)
−0.979965 + 0.199168i \(0.936176\pi\)
\(588\) −4.81420 11.1276i −0.198534 0.458895i
\(589\) 49.6150i 2.04435i
\(590\) 1.07559 4.01415i 0.0442813 0.165260i
\(591\) 32.1899 + 9.41156i 1.32412 + 0.387140i
\(592\) −7.50999 + 2.01230i −0.308659 + 0.0827048i
\(593\) −13.9085 3.72678i −0.571156 0.153041i −0.0383291 0.999265i \(-0.512204\pi\)
−0.532827 + 0.846224i \(0.678870\pi\)
\(594\) −1.25805 + 18.4873i −0.0516184 + 0.758542i
\(595\) −37.7527 + 8.26340i −1.54771 + 0.338767i
\(596\) −6.14416 + 6.14416i −0.251675 + 0.251675i
\(597\) −11.3054 0.256091i −0.462698 0.0104811i
\(598\) −22.2101 4.00618i −0.908238 0.163825i
\(599\) −21.9183 12.6546i −0.895559 0.517051i −0.0198021 0.999804i \(-0.506304\pi\)
−0.875757 + 0.482753i \(0.839637\pi\)
\(600\) 0.949877 0.907797i 0.0387786 0.0370607i
\(601\) 7.33163 0.299063 0.149532 0.988757i \(-0.452223\pi\)
0.149532 + 0.988757i \(0.452223\pi\)
\(602\) 0.837922 0.763690i 0.0341512 0.0311257i
\(603\) 34.7313 + 11.0143i 1.41437 + 0.448536i
\(604\) 4.42576 + 1.18588i 0.180082 + 0.0482527i
\(605\) −0.915275 3.41585i −0.0372112 0.138874i
\(606\) −31.8688 9.31766i −1.29458 0.378504i
\(607\) −10.8473 18.7881i −0.440279 0.762585i 0.557431 0.830223i \(-0.311787\pi\)
−0.997710 + 0.0676378i \(0.978454\pi\)
\(608\) −5.76671 −0.233871
\(609\) −1.55570 0.107457i −0.0630402 0.00435437i
\(610\) 3.65572i 0.148016i
\(611\) 4.28947 + 3.62808i 0.173534 + 0.146776i
\(612\) 0.963480 21.2560i 0.0389464 0.859221i
\(613\) 6.26334 + 23.3751i 0.252974 + 0.944111i 0.969206 + 0.246250i \(0.0791983\pi\)
−0.716233 + 0.697862i \(0.754135\pi\)
\(614\) −23.6739 + 13.6681i −0.955401 + 0.551601i
\(615\) −13.8108 + 22.7169i −0.556906 + 0.916034i
\(616\) −8.38063 + 4.33415i −0.337665 + 0.174628i
\(617\) 25.9111 + 25.9111i 1.04314 + 1.04314i 0.999026 + 0.0441149i \(0.0140468\pi\)
0.0441149 + 0.999026i \(0.485953\pi\)
\(618\) 9.62915 + 10.0755i 0.387341 + 0.405296i
\(619\) −31.6610 + 8.48353i −1.27256 + 0.340982i −0.831012 0.556255i \(-0.812238\pi\)
−0.441550 + 0.897237i \(0.645571\pi\)
\(620\) 15.3451 + 8.85952i 0.616275 + 0.355807i
\(621\) −29.2063 + 14.3125i −1.17201 + 0.574340i
\(622\) 4.45523 + 4.45523i 0.178639 + 0.178639i
\(623\) −4.54801 + 4.14510i −0.182212 + 0.166070i
\(624\) 3.44480 + 5.20897i 0.137902 + 0.208526i
\(625\) −10.3158 17.8675i −0.412632 0.714700i
\(626\) 22.1362 5.93138i 0.884741 0.237066i
\(627\) 17.1064 + 31.2425i 0.683165 + 1.24770i
\(628\) 1.72903 0.998255i 0.0689958 0.0398347i
\(629\) −38.9929 38.9929i −1.55475 1.55475i
\(630\) 1.49544 16.2780i 0.0595797 0.648530i
\(631\) 28.5560 + 28.5560i 1.13680 + 1.13680i 0.989021 + 0.147776i \(0.0472116\pi\)
0.147776 + 0.989021i \(0.452788\pi\)
\(632\) 8.65764 + 2.31981i 0.344382 + 0.0922770i
\(633\) 13.2118 7.23394i 0.525121 0.287523i
\(634\) 2.27901 + 1.31579i 0.0905111 + 0.0522566i
\(635\) −15.6008 4.18022i −0.619099 0.165887i
\(636\) −9.81311 5.96591i −0.389115 0.236564i
\(637\) −0.234427 + 25.2378i −0.00928834 + 0.999957i
\(638\) 1.21351i 0.0480435i
\(639\) 6.18056 1.35942i 0.244499 0.0537777i
\(640\) 1.02973 1.78355i 0.0407038 0.0705011i
\(641\) −18.5105 + 32.0611i −0.731121 + 1.26634i 0.225284 + 0.974293i \(0.427669\pi\)
−0.956405 + 0.292045i \(0.905664\pi\)
\(642\) −1.00783 1.05454i −0.0397757 0.0416195i
\(643\) −19.7152 + 19.7152i −0.777493 + 0.777493i −0.979404 0.201911i \(-0.935285\pi\)
0.201911 + 0.979404i \(0.435285\pi\)
\(644\) −13.9433 8.93552i −0.549443 0.352109i
\(645\) 1.48503 0.362076i 0.0584731 0.0142567i
\(646\) −20.4505 35.4213i −0.804614 1.39363i
\(647\) −11.4313 + 19.7996i −0.449412 + 0.778404i −0.998348 0.0574606i \(-0.981700\pi\)
0.548936 + 0.835864i \(0.315033\pi\)
\(648\) 8.44695 + 3.10630i 0.331827 + 0.122027i
\(649\) 6.23189 3.59798i 0.244623 0.141233i
\(650\) −2.57383 + 0.925373i −0.100954 + 0.0362961i
\(651\) −38.6963 + 7.55592i −1.51663 + 0.296140i
\(652\) 11.9616 11.9616i 0.468453 0.468453i
\(653\) −17.2294 + 9.94739i −0.674238 + 0.389271i −0.797680 0.603080i \(-0.793940\pi\)
0.123443 + 0.992352i \(0.460606\pi\)
\(654\) 20.1402 11.0275i 0.787546 0.431211i
\(655\) 7.32593 + 27.3408i 0.286248 + 1.06829i
\(656\) 1.92898 7.19905i 0.0753140 0.281076i
\(657\) 4.02523 12.6928i 0.157039 0.495192i
\(658\) 1.89376 + 3.66182i 0.0738263 + 0.142753i
\(659\) 26.2057i 1.02083i −0.859929 0.510414i \(-0.829492\pi\)
0.859929 0.510414i \(-0.170508\pi\)
\(660\) −12.7174 0.288077i −0.495025 0.0112134i
\(661\) −16.2354 + 4.35027i −0.631485 + 0.169206i −0.560343 0.828260i \(-0.689331\pi\)
−0.0711414 + 0.997466i \(0.522664\pi\)
\(662\) 10.3243 17.8823i 0.401267 0.695015i
\(663\) −19.7791 + 39.6318i −0.768158 + 1.53917i
\(664\) −11.4989 −0.446242
\(665\) −14.4342 27.9104i −0.559735 1.08232i
\(666\) 20.7072 10.7357i 0.802387 0.416001i
\(667\) −1.84464 + 1.06501i −0.0714249 + 0.0412372i
\(668\) −7.10633 + 1.90414i −0.274952 + 0.0736732i
\(669\) −1.88746 + 6.45560i −0.0729734 + 0.249588i
\(670\) −6.47381 + 24.1606i −0.250105 + 0.933405i
\(671\) 4.47607 4.47607i 0.172797 0.172797i
\(672\) 0.878219 + 4.49764i 0.0338780 + 0.173500i
\(673\) 22.4111i 0.863885i 0.901901 + 0.431942i \(0.142172\pi\)
−0.901901 + 0.431942i \(0.857828\pi\)
\(674\) 33.1542 + 8.88364i 1.27705 + 0.342185i
\(675\) −2.19808 + 3.27196i −0.0846041 + 0.125938i
\(676\) −2.15686 12.8198i −0.0829563 0.493070i
\(677\) 37.5970 21.7066i 1.44497 0.834253i 0.446793 0.894637i \(-0.352566\pi\)
0.998175 + 0.0603842i \(0.0192326\pi\)
\(678\) 3.83938 0.936106i 0.147450 0.0359509i
\(679\) −9.54185 43.5934i −0.366183 1.67296i
\(680\) 14.6070 0.560152
\(681\) 18.9069 18.0693i 0.724513 0.692417i
\(682\) 7.94100 + 29.6362i 0.304077 + 1.13483i
\(683\) 6.09725 + 22.7552i 0.233305 + 0.870705i 0.978906 + 0.204312i \(0.0654958\pi\)
−0.745601 + 0.666392i \(0.767838\pi\)
\(684\) 16.8963 3.71634i 0.646045 0.142098i
\(685\) 24.0429 0.918632
\(686\) −7.22483 + 17.0529i −0.275845 + 0.651083i
\(687\) −0.499055 2.04684i −0.0190401 0.0780918i
\(688\) −0.371099 + 0.214254i −0.0141480 + 0.00816836i
\(689\) 13.6352 + 19.6367i 0.519461 + 0.748099i
\(690\) −10.7232 19.5844i −0.408224 0.745564i
\(691\) 2.78278 + 0.745645i 0.105862 + 0.0283657i 0.311361 0.950292i \(-0.399215\pi\)
−0.205499 + 0.978657i \(0.565882\pi\)
\(692\) 15.6895i 0.596426i
\(693\) 21.7618 18.0998i 0.826663 0.687554i
\(694\) 9.55751 9.55751i 0.362798 0.362798i
\(695\) −11.4096 + 42.5813i −0.432792 + 1.61520i
\(696\) 0.565717 + 0.165402i 0.0214435 + 0.00626955i
\(697\) 51.0599 13.6815i 1.93403 0.518223i
\(698\) 7.45512 4.30422i 0.282181 0.162917i
\(699\) −9.08291 5.52199i −0.343547 0.208861i
\(700\) −2.00488 0.0929227i −0.0757773 0.00351215i
\(701\) −26.3344 −0.994636 −0.497318 0.867568i \(-0.665682\pi\)
−0.497318 + 0.867568i \(0.665682\pi\)
\(702\) −13.4500 13.0421i −0.507639 0.492243i
\(703\) 22.4178 38.8289i 0.845505 1.46446i
\(704\) 3.44459 0.922976i 0.129823 0.0347860i
\(705\) −0.125872 + 5.55673i −0.00474060 + 0.209278i
\(706\) 23.8878i 0.899031i
\(707\) 23.2984 + 45.0504i 0.876227 + 1.69429i
\(708\) −0.827904 3.39559i −0.0311145 0.127614i
\(709\) 4.86834 18.1689i 0.182834 0.682347i −0.812249 0.583310i \(-0.801757\pi\)
0.995084 0.0990370i \(-0.0315762\pi\)
\(710\) 1.12439 + 4.19628i 0.0421976 + 0.157484i
\(711\) −26.8616 1.21757i −1.00739 0.0456624i
\(712\) 2.01423 1.16291i 0.0754863 0.0435820i
\(713\) −38.0804 + 38.0804i −1.42612 + 1.42612i
\(714\) −24.5117 + 21.3443i −0.917328 + 0.798791i
\(715\) 23.9551 + 11.2851i 0.895870 + 0.422040i
\(716\) 2.94023 1.69754i 0.109882 0.0634401i
\(717\) 5.95039 + 1.73975i 0.222221 + 0.0649722i
\(718\) 3.79766 6.57774i 0.141727 0.245479i
\(719\) 10.3763 + 17.9723i 0.386971 + 0.670253i 0.992040 0.125920i \(-0.0401881\pi\)
−0.605070 + 0.796172i \(0.706855\pi\)
\(720\) −1.86768 + 5.88935i −0.0696044 + 0.219483i
\(721\) 0.985646 21.2661i 0.0367074 0.791991i
\(722\) 10.0798 10.0798i 0.375131 0.375131i
\(723\) −13.6411 + 13.0368i −0.507319 + 0.484844i
\(724\) −10.7054 + 18.5422i −0.397862 + 0.689116i
\(725\) −0.129070 + 0.223556i −0.00479354 + 0.00830266i
\(726\) −2.05487 2.15012i −0.0762632 0.0797983i
\(727\) 0.874759i 0.0324430i 0.999868 + 0.0162215i \(0.00516369\pi\)
−0.999868 + 0.0162215i \(0.994836\pi\)
\(728\) 2.12619 9.29943i 0.0788017 0.344660i
\(729\) −26.7511 3.65774i −0.990781 0.135472i
\(730\) 8.82963 + 2.36589i 0.326799 + 0.0875656i
\(731\) −2.63206 1.51962i −0.0973501 0.0562051i
\(732\) −1.47657 2.69675i −0.0545757 0.0996748i
\(733\) −25.1633 6.74247i −0.929426 0.249039i −0.237816 0.971310i \(-0.576432\pi\)
−0.691610 + 0.722271i \(0.743098\pi\)
\(734\) −8.63769 8.63769i −0.318823 0.318823i
\(735\) −19.5700 + 15.5082i −0.721849 + 0.572029i
\(736\) 4.42605 + 4.42605i 0.163146 + 0.163146i
\(737\) −37.5088 + 21.6557i −1.38165 + 0.797699i
\(738\) −1.01244 + 22.3361i −0.0372684 + 0.822202i
\(739\) 4.71934 1.26454i 0.173604 0.0465169i −0.170970 0.985276i \(-0.554690\pi\)
0.344574 + 0.938759i \(0.388023\pi\)
\(740\) 8.00610 + 13.8670i 0.294310 + 0.509760i
\(741\) −35.2873 7.19373i −1.29631 0.264268i
\(742\) 3.75096 + 17.1369i 0.137702 + 0.629114i
\(743\) −1.07143 1.07143i −0.0393071 0.0393071i 0.687180 0.726487i \(-0.258848\pi\)
−0.726487 + 0.687180i \(0.758848\pi\)
\(744\) 14.8982 + 0.337476i 0.546195 + 0.0123725i
\(745\) 15.4976 + 8.94753i 0.567787 + 0.327812i
\(746\) 5.08252 1.36186i 0.186084 0.0498611i
\(747\) 33.6912 7.41039i 1.23270 0.271132i
\(748\) 17.8848 + 17.8848i 0.653934 + 0.653934i
\(749\) −0.103162 + 2.22580i −0.00376945 + 0.0813288i
\(750\) −17.5523 10.6710i −0.640919 0.389649i
\(751\) 11.9427 6.89510i 0.435794 0.251606i −0.266018 0.963968i \(-0.585708\pi\)
0.701812 + 0.712362i \(0.252375\pi\)
\(752\) −0.403284 1.50508i −0.0147062 0.0548844i
\(753\) 17.3049 9.47507i 0.630625 0.345291i
\(754\) −0.936785 0.792342i −0.0341157 0.0288554i
\(755\) 9.43625i 0.343420i
\(756\) −5.47164 12.6119i −0.199001 0.458692i
\(757\) 19.3286 0.702509 0.351254 0.936280i \(-0.385755\pi\)
0.351254 + 0.936280i \(0.385755\pi\)
\(758\) 7.52949 + 13.0415i 0.273484 + 0.473687i
\(759\) 10.8497 37.1086i 0.393818 1.34696i
\(760\) 3.07383 + 11.4717i 0.111500 + 0.416122i
\(761\) 20.7574 + 5.56192i 0.752455 + 0.201620i 0.614607 0.788834i \(-0.289315\pi\)
0.137848 + 0.990453i \(0.455981\pi\)
\(762\) −13.1968 + 3.21761i −0.478070 + 0.116562i
\(763\) −33.4227 10.6368i −1.20998 0.385077i
\(764\) 7.35477 0.266086
\(765\) −42.7979 + 9.41342i −1.54736 + 0.340343i
\(766\) −13.6297 7.86909i −0.492460 0.284322i
\(767\) −1.29150 + 7.16001i −0.0466333 + 0.258533i
\(768\) 0.0392246 1.73161i 0.00141540 0.0624840i
\(769\) 4.93994 4.93994i 0.178139 0.178139i −0.612405 0.790544i \(-0.709798\pi\)
0.790544 + 0.612405i \(0.209798\pi\)
\(770\) 13.0890 + 14.3613i 0.471696 + 0.517546i
\(771\) −8.94329 5.43710i −0.322085 0.195812i
\(772\) 8.95326 + 2.39902i 0.322235 + 0.0863426i
\(773\) 14.0402 3.76207i 0.504992 0.135312i 0.00267596 0.999996i \(-0.499148\pi\)
0.502316 + 0.864684i \(0.332482\pi\)
\(774\)