Properties

Label 273.2.by.d.97.1
Level $273$
Weight $2$
Character 273.97
Analytic conductor $2.180$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 97.1
Character \(\chi\) \(=\) 273.97
Dual form 273.2.by.d.76.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.706652 - 2.63726i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-4.72373 + 2.72725i) q^{4} +(-2.18431 - 2.18431i) q^{5} +(-0.706652 + 2.63726i) q^{6} +(0.666364 + 2.56046i) q^{7} +(6.66928 + 6.66928i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.706652 - 2.63726i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-4.72373 + 2.72725i) q^{4} +(-2.18431 - 2.18431i) q^{5} +(-0.706652 + 2.63726i) q^{6} +(0.666364 + 2.56046i) q^{7} +(6.66928 + 6.66928i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-4.21705 + 7.30414i) q^{10} +(-0.456585 + 0.122342i) q^{11} +5.45450 q^{12} +(-2.45314 - 2.64236i) q^{13} +(6.28171 - 3.56673i) q^{14} +(0.799513 + 2.98382i) q^{15} +(7.42128 - 12.8540i) q^{16} +(-1.14138 - 1.97693i) q^{17} +(1.93061 - 1.93061i) q^{18} +(-1.51851 + 5.66717i) q^{19} +(16.2753 + 4.36094i) q^{20} +(0.703143 - 2.55061i) q^{21} +(0.645294 + 1.11768i) q^{22} +(0.481898 + 0.278224i) q^{23} +(-2.44113 - 9.11041i) q^{24} +4.54242i q^{25} +(-5.23509 + 8.33681i) q^{26} -1.00000i q^{27} +(-10.1307 - 10.2776i) q^{28} +(-3.64605 + 6.31515i) q^{29} +(7.30414 - 4.21705i) q^{30} +(2.74924 + 2.74924i) q^{31} +(-20.9229 - 5.60626i) q^{32} +(0.456585 + 0.122342i) q^{33} +(-4.40713 + 4.40713i) q^{34} +(4.13729 - 7.04838i) q^{35} +(-4.72373 - 2.72725i) q^{36} +(-6.41041 + 1.71767i) q^{37} +16.0189 q^{38} +(0.803302 + 3.51493i) q^{39} -29.1356i q^{40} +(-1.49535 + 0.400678i) q^{41} +(-7.22349 - 0.0519798i) q^{42} +(5.08624 - 2.93654i) q^{43} +(1.82313 - 1.82313i) q^{44} +(0.799513 - 2.98382i) q^{45} +(0.393215 - 1.46750i) q^{46} +(-6.55220 + 6.55220i) q^{47} +(-12.8540 + 7.42128i) q^{48} +(-6.11192 + 3.41240i) q^{49} +(11.9795 - 3.20991i) q^{50} +2.28277i q^{51} +(18.7944 + 5.79150i) q^{52} +4.17698 q^{53} +(-2.63726 + 0.706652i) q^{54} +(1.26456 + 0.730092i) q^{55} +(-12.6323 + 21.5206i) q^{56} +(4.14865 - 4.14865i) q^{57} +(19.2312 + 5.15298i) q^{58} +(-14.2781 - 3.82579i) q^{59} +(-11.9143 - 11.9143i) q^{60} +(0.553719 - 0.319690i) q^{61} +(5.30771 - 9.19322i) q^{62} +(-1.88424 + 1.85732i) q^{63} +29.4556i q^{64} +(-0.413319 + 11.1302i) q^{65} -1.29059i q^{66} +(-2.17304 - 8.10989i) q^{67} +(10.7832 + 6.22567i) q^{68} +(-0.278224 - 0.481898i) q^{69} +(-21.5120 - 5.93037i) q^{70} +(-2.13591 - 0.572316i) q^{71} +(-2.44113 + 9.11041i) q^{72} +(-2.43968 + 2.43968i) q^{73} +(9.05986 + 15.6921i) q^{74} +(2.27121 - 3.93385i) q^{75} +(-8.28273 - 30.9116i) q^{76} +(-0.617503 - 1.08755i) q^{77} +(8.70212 - 4.60234i) q^{78} -11.8014 q^{79} +(-44.2876 + 11.8668i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(2.11339 + 3.66049i) q^{82} +(-1.80810 - 1.80810i) q^{83} +(3.63468 + 13.9660i) q^{84} +(-1.82510 + 6.81137i) q^{85} +(-11.3386 - 11.3386i) q^{86} +(6.31515 - 3.64605i) q^{87} +(-3.86103 - 2.22917i) q^{88} +(-0.363443 - 1.35639i) q^{89} -8.43409 q^{90} +(5.13099 - 8.04195i) q^{91} -3.03514 q^{92} +(-1.00629 - 3.75553i) q^{93} +(21.9100 + 12.6497i) q^{94} +(15.6957 - 9.06194i) q^{95} +(15.3166 + 15.3166i) q^{96} +(-3.25005 + 12.1294i) q^{97} +(13.3184 + 13.7073i) q^{98} +(-0.334244 - 0.334244i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + 2q^{10} - 4q^{11} + 32q^{12} + 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} - 8q^{17} + 2q^{18} + 2q^{19} + 44q^{20} - 4q^{21} - 4q^{22} - 18q^{23} + 4q^{24} - 28q^{26} - 32q^{28} - 18q^{29} - 14q^{31} - 8q^{32} + 4q^{33} - 66q^{34} + 22q^{35} + 6q^{36} - 24q^{37} + 24q^{38} + 8q^{39} - 26q^{42} - 6q^{43} - 20q^{44} + 4q^{45} - 58q^{46} - 28q^{47} - 60q^{48} + 8q^{49} + 70q^{50} + 28q^{52} - 80q^{53} - 4q^{54} + 60q^{55} - 54q^{56} + 16q^{57} - 4q^{58} - 42q^{59} - 58q^{60} + 36q^{61} + 52q^{62} + 4q^{63} + 14q^{65} + 26q^{67} - 72q^{68} + 2q^{69} - 116q^{70} - 4q^{71} + 4q^{72} + 12q^{73} - 18q^{74} + 16q^{75} - 48q^{76} + 28q^{77} - 14q^{78} - 4q^{79} - 98q^{80} - 16q^{81} + 20q^{82} - 36q^{83} - 18q^{84} - 10q^{85} - 40q^{86} + 96q^{88} - 54q^{89} + 4q^{90} + 148q^{91} - 4q^{92} + 2q^{93} + 60q^{95} + 22q^{96} - 40q^{97} + 36q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.706652 2.63726i −0.499678 1.86482i −0.502069 0.864828i \(-0.667428\pi\)
0.00239085 0.999997i \(-0.499239\pi\)
\(3\) −0.866025 0.500000i −0.500000 0.288675i
\(4\) −4.72373 + 2.72725i −2.36187 + 1.36362i
\(5\) −2.18431 2.18431i −0.976853 0.976853i 0.0228851 0.999738i \(-0.492715\pi\)
−0.999738 + 0.0228851i \(0.992715\pi\)
\(6\) −0.706652 + 2.63726i −0.288489 + 1.07666i
\(7\) 0.666364 + 2.56046i 0.251862 + 0.967763i
\(8\) 6.66928 + 6.66928i 2.35795 + 2.35795i
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) −4.21705 + 7.30414i −1.33355 + 2.30977i
\(11\) −0.456585 + 0.122342i −0.137666 + 0.0368874i −0.326994 0.945026i \(-0.606036\pi\)
0.189328 + 0.981914i \(0.439369\pi\)
\(12\) 5.45450 1.57458
\(13\) −2.45314 2.64236i −0.680379 0.732860i
\(14\) 6.28171 3.56673i 1.67886 0.953248i
\(15\) 0.799513 + 2.98382i 0.206433 + 0.770420i
\(16\) 7.42128 12.8540i 1.85532 3.21351i
\(17\) −1.14138 1.97693i −0.276826 0.479477i 0.693768 0.720198i \(-0.255949\pi\)
−0.970594 + 0.240722i \(0.922616\pi\)
\(18\) 1.93061 1.93061i 0.455049 0.455049i
\(19\) −1.51851 + 5.66717i −0.348371 + 1.30014i 0.540254 + 0.841502i \(0.318328\pi\)
−0.888625 + 0.458635i \(0.848339\pi\)
\(20\) 16.2753 + 4.36094i 3.63926 + 0.975136i
\(21\) 0.703143 2.55061i 0.153438 0.556588i
\(22\) 0.645294 + 1.11768i 0.137577 + 0.238291i
\(23\) 0.481898 + 0.278224i 0.100483 + 0.0580137i 0.549399 0.835560i \(-0.314857\pi\)
−0.448917 + 0.893574i \(0.648190\pi\)
\(24\) −2.44113 9.11041i −0.498293 1.85966i
\(25\) 4.54242i 0.908484i
\(26\) −5.23509 + 8.33681i −1.02668 + 1.63498i
\(27\) 1.00000i 0.192450i
\(28\) −10.1307 10.2776i −1.91453 1.94228i
\(29\) −3.64605 + 6.31515i −0.677055 + 1.17269i 0.298809 + 0.954313i \(0.403411\pi\)
−0.975864 + 0.218381i \(0.929923\pi\)
\(30\) 7.30414 4.21705i 1.33355 0.769924i
\(31\) 2.74924 + 2.74924i 0.493778 + 0.493778i 0.909494 0.415716i \(-0.136469\pi\)
−0.415716 + 0.909494i \(0.636469\pi\)
\(32\) −20.9229 5.60626i −3.69867 0.991057i
\(33\) 0.456585 + 0.122342i 0.0794813 + 0.0212970i
\(34\) −4.40713 + 4.40713i −0.755816 + 0.755816i
\(35\) 4.13729 7.04838i 0.699330 1.19139i
\(36\) −4.72373 2.72725i −0.787289 0.454542i
\(37\) −6.41041 + 1.71767i −1.05387 + 0.282382i −0.743848 0.668348i \(-0.767002\pi\)
−0.310017 + 0.950731i \(0.600335\pi\)
\(38\) 16.0189 2.59860
\(39\) 0.803302 + 3.51493i 0.128631 + 0.562839i
\(40\) 29.1356i 4.60674i
\(41\) −1.49535 + 0.400678i −0.233535 + 0.0625755i −0.373688 0.927554i \(-0.621907\pi\)
0.140154 + 0.990130i \(0.455240\pi\)
\(42\) −7.22349 0.0519798i −1.11461 0.00802065i
\(43\) 5.08624 2.93654i 0.775644 0.447818i −0.0592406 0.998244i \(-0.518868\pi\)
0.834884 + 0.550426i \(0.185535\pi\)
\(44\) 1.82313 1.82313i 0.274848 0.274848i
\(45\) 0.799513 2.98382i 0.119184 0.444802i
\(46\) 0.393215 1.46750i 0.0579763 0.216371i
\(47\) −6.55220 + 6.55220i −0.955736 + 0.955736i −0.999061 0.0433248i \(-0.986205\pi\)
0.0433248 + 0.999061i \(0.486205\pi\)
\(48\) −12.8540 + 7.42128i −1.85532 + 1.07117i
\(49\) −6.11192 + 3.41240i −0.873131 + 0.487485i
\(50\) 11.9795 3.20991i 1.69416 0.453949i
\(51\) 2.28277i 0.319651i
\(52\) 18.7944 + 5.79150i 2.60631 + 0.803136i
\(53\) 4.17698 0.573753 0.286876 0.957968i \(-0.407383\pi\)
0.286876 + 0.957968i \(0.407383\pi\)
\(54\) −2.63726 + 0.706652i −0.358886 + 0.0961631i
\(55\) 1.26456 + 0.730092i 0.170513 + 0.0984456i
\(56\) −12.6323 + 21.5206i −1.68806 + 2.87581i
\(57\) 4.14865 4.14865i 0.549503 0.549503i
\(58\) 19.2312 + 5.15298i 2.52518 + 0.676619i
\(59\) −14.2781 3.82579i −1.85884 0.498076i −0.858942 0.512072i \(-0.828878\pi\)
−0.999902 + 0.0139966i \(0.995545\pi\)
\(60\) −11.9143 11.9143i −1.53813 1.53813i
\(61\) 0.553719 0.319690i 0.0708965 0.0409321i −0.464133 0.885766i \(-0.653634\pi\)
0.535029 + 0.844834i \(0.320301\pi\)
\(62\) 5.30771 9.19322i 0.674079 1.16754i
\(63\) −1.88424 + 1.85732i −0.237392 + 0.234000i
\(64\) 29.4556i 3.68195i
\(65\) −0.413319 + 11.1302i −0.0512659 + 1.38053i
\(66\) 1.29059i 0.158860i
\(67\) −2.17304 8.10989i −0.265479 0.990780i −0.961957 0.273202i \(-0.911917\pi\)
0.696478 0.717578i \(-0.254749\pi\)
\(68\) 10.7832 + 6.22567i 1.30765 + 0.754973i
\(69\) −0.278224 0.481898i −0.0334942 0.0580137i
\(70\) −21.5120 5.93037i −2.57118 0.708815i
\(71\) −2.13591 0.572316i −0.253486 0.0679214i 0.129838 0.991535i \(-0.458554\pi\)
−0.383324 + 0.923614i \(0.625221\pi\)
\(72\) −2.44113 + 9.11041i −0.287690 + 1.07367i
\(73\) −2.43968 + 2.43968i −0.285543 + 0.285543i −0.835315 0.549772i \(-0.814715\pi\)
0.549772 + 0.835315i \(0.314715\pi\)
\(74\) 9.05986 + 15.6921i 1.05319 + 1.82417i
\(75\) 2.27121 3.93385i 0.262257 0.454242i
\(76\) −8.28273 30.9116i −0.950094 3.54580i
\(77\) −0.617503 1.08755i −0.0703710 0.123937i
\(78\) 8.70212 4.60234i 0.985321 0.521113i
\(79\) −11.8014 −1.32776 −0.663878 0.747841i \(-0.731091\pi\)
−0.663878 + 0.747841i \(0.731091\pi\)
\(80\) −44.2876 + 11.8668i −4.95150 + 1.32675i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) 2.11339 + 3.66049i 0.233384 + 0.404234i
\(83\) −1.80810 1.80810i −0.198465 0.198465i 0.600877 0.799342i \(-0.294818\pi\)
−0.799342 + 0.600877i \(0.794818\pi\)
\(84\) 3.63468 + 13.9660i 0.396576 + 1.52382i
\(85\) −1.82510 + 6.81137i −0.197960 + 0.738796i
\(86\) −11.3386 11.3386i −1.22267 1.22267i
\(87\) 6.31515 3.64605i 0.677055 0.390898i
\(88\) −3.86103 2.22917i −0.411587 0.237630i
\(89\) −0.363443 1.35639i −0.0385248 0.143777i 0.943985 0.329990i \(-0.107045\pi\)
−0.982509 + 0.186213i \(0.940379\pi\)
\(90\) −8.43409 −0.889032
\(91\) 5.13099 8.04195i 0.537873 0.843026i
\(92\) −3.03514 −0.316436
\(93\) −1.00629 3.75553i −0.104348 0.389431i
\(94\) 21.9100 + 12.6497i 2.25984 + 1.30472i
\(95\) 15.6957 9.06194i 1.61035 0.929736i
\(96\) 15.3166 + 15.3166i 1.56324 + 1.56324i
\(97\) −3.25005 + 12.1294i −0.329993 + 1.23155i 0.579204 + 0.815183i \(0.303364\pi\)
−0.909197 + 0.416367i \(0.863303\pi\)
\(98\) 13.3184 + 13.7073i 1.34536 + 1.38465i
\(99\) −0.334244 0.334244i −0.0335928 0.0335928i
\(100\) −12.3883 21.4572i −1.23883 2.14572i
\(101\) 3.23413 5.60168i 0.321808 0.557388i −0.659053 0.752096i \(-0.729043\pi\)
0.980861 + 0.194708i \(0.0623761\pi\)
\(102\) 6.02025 1.61312i 0.596093 0.159723i
\(103\) 8.52900 0.840388 0.420194 0.907434i \(-0.361962\pi\)
0.420194 + 0.907434i \(0.361962\pi\)
\(104\) 1.26197 33.9834i 0.123747 3.33235i
\(105\) −7.10719 + 4.03543i −0.693591 + 0.393818i
\(106\) −2.95167 11.0158i −0.286692 1.06995i
\(107\) 2.34420 4.06027i 0.226622 0.392521i −0.730183 0.683252i \(-0.760565\pi\)
0.956805 + 0.290731i \(0.0938984\pi\)
\(108\) 2.72725 + 4.72373i 0.262430 + 0.454542i
\(109\) 3.66100 3.66100i 0.350661 0.350661i −0.509695 0.860355i \(-0.670242\pi\)
0.860355 + 0.509695i \(0.170242\pi\)
\(110\) 1.03184 3.85088i 0.0983822 0.367167i
\(111\) 6.41041 + 1.71767i 0.608450 + 0.163034i
\(112\) 37.8575 + 10.4364i 3.57720 + 0.986150i
\(113\) −4.41169 7.64128i −0.415017 0.718831i 0.580413 0.814322i \(-0.302891\pi\)
−0.995430 + 0.0954914i \(0.969558\pi\)
\(114\) −13.8727 8.00943i −1.29930 0.750151i
\(115\) −0.444887 1.66034i −0.0414859 0.154828i
\(116\) 39.7748i 3.69300i
\(117\) 1.06178 3.44567i 0.0981619 0.318552i
\(118\) 40.3584i 3.71530i
\(119\) 4.30128 4.23982i 0.394298 0.388664i
\(120\) −14.5678 + 25.2321i −1.32985 + 2.30337i
\(121\) −9.33278 + 5.38828i −0.848434 + 0.489844i
\(122\) −1.23439 1.23439i −0.111757 0.111757i
\(123\) 1.49535 + 0.400678i 0.134831 + 0.0361280i
\(124\) −20.4845 5.48882i −1.83957 0.492910i
\(125\) −0.999502 + 0.999502i −0.0893982 + 0.0893982i
\(126\) 6.22973 + 3.65676i 0.554989 + 0.325770i
\(127\) 8.32452 + 4.80617i 0.738682 + 0.426478i 0.821590 0.570079i \(-0.193087\pi\)
−0.0829079 + 0.996557i \(0.526421\pi\)
\(128\) 35.8364 9.60232i 3.16752 0.848734i
\(129\) −5.87308 −0.517096
\(130\) 29.6452 6.77512i 2.60006 0.594218i
\(131\) 15.6056i 1.36346i −0.731602 0.681732i \(-0.761227\pi\)
0.731602 0.681732i \(-0.238773\pi\)
\(132\) −2.49044 + 0.667313i −0.216765 + 0.0580821i
\(133\) −15.5224 0.111698i −1.34597 0.00968549i
\(134\) −19.8523 + 11.4617i −1.71498 + 0.990143i
\(135\) −2.18431 + 2.18431i −0.187995 + 0.187995i
\(136\) 5.57252 20.7969i 0.477840 1.78332i
\(137\) 5.03398 18.7871i 0.430082 1.60509i −0.322488 0.946574i \(-0.604519\pi\)
0.752569 0.658513i \(-0.228814\pi\)
\(138\) −1.07428 + 1.07428i −0.0914490 + 0.0914490i
\(139\) 4.85118 2.80083i 0.411472 0.237564i −0.279950 0.960015i \(-0.590318\pi\)
0.691422 + 0.722451i \(0.256985\pi\)
\(140\) −0.320781 + 44.5781i −0.0271110 + 3.76754i
\(141\) 8.95047 2.39827i 0.753765 0.201971i
\(142\) 6.03739i 0.506646i
\(143\) 1.44334 + 0.906344i 0.120698 + 0.0757923i
\(144\) 14.8426 1.23688
\(145\) 21.7583 5.83013i 1.80693 0.484166i
\(146\) 8.15808 + 4.71007i 0.675168 + 0.389808i
\(147\) 6.99928 + 0.100738i 0.577290 + 0.00830872i
\(148\) 25.5966 25.5966i 2.10403 2.10403i
\(149\) −19.1586 5.13354i −1.56954 0.420556i −0.633869 0.773440i \(-0.718534\pi\)
−0.935667 + 0.352885i \(0.885201\pi\)
\(150\) −11.9795 3.20991i −0.978125 0.262088i
\(151\) 0.637052 + 0.637052i 0.0518426 + 0.0518426i 0.732553 0.680710i \(-0.238329\pi\)
−0.680710 + 0.732553i \(0.738329\pi\)
\(152\) −47.9233 + 27.6686i −3.88710 + 2.24422i
\(153\) 1.14138 1.97693i 0.0922753 0.159826i
\(154\) −2.43178 + 2.39703i −0.195958 + 0.193158i
\(155\) 12.0104i 0.964697i
\(156\) −13.3807 14.4128i −1.07131 1.15395i
\(157\) 0.106383i 0.00849030i −0.999991 0.00424515i \(-0.998649\pi\)
0.999991 0.00424515i \(-0.00135128\pi\)
\(158\) 8.33945 + 31.1232i 0.663451 + 2.47603i
\(159\) −3.61738 2.08849i −0.286876 0.165628i
\(160\) 33.4562 + 57.9478i 2.64494 + 4.58118i
\(161\) −0.391262 + 1.41928i −0.0308358 + 0.111855i
\(162\) 2.63726 + 0.706652i 0.207203 + 0.0555198i
\(163\) 3.70956 13.8443i 0.290555 1.08437i −0.654128 0.756383i \(-0.726964\pi\)
0.944684 0.327983i \(-0.106369\pi\)
\(164\) 5.97090 5.97090i 0.466249 0.466249i
\(165\) −0.730092 1.26456i −0.0568376 0.0984456i
\(166\) −3.49074 + 6.04613i −0.270934 + 0.469271i
\(167\) 3.66050 + 13.6612i 0.283258 + 1.05713i 0.950103 + 0.311936i \(0.100977\pi\)
−0.666845 + 0.745196i \(0.732356\pi\)
\(168\) 21.7002 12.3213i 1.67420 0.950606i
\(169\) −0.964180 + 12.9642i −0.0741677 + 0.997246i
\(170\) 19.2531 1.47664
\(171\) −5.66717 + 1.51851i −0.433379 + 0.116124i
\(172\) −16.0173 + 27.7429i −1.22131 + 2.11537i
\(173\) 0.208401 + 0.360961i 0.0158444 + 0.0274434i 0.873839 0.486216i \(-0.161623\pi\)
−0.857994 + 0.513659i \(0.828290\pi\)
\(174\) −14.0782 14.0782i −1.06727 1.06727i
\(175\) −11.6307 + 3.02690i −0.879197 + 0.228812i
\(176\) −1.81586 + 6.77690i −0.136876 + 0.510828i
\(177\) 10.4523 + 10.4523i 0.785640 + 0.785640i
\(178\) −3.32032 + 1.91699i −0.248868 + 0.143684i
\(179\) 8.99794 + 5.19496i 0.672537 + 0.388290i 0.797037 0.603930i \(-0.206399\pi\)
−0.124500 + 0.992220i \(0.539733\pi\)
\(180\) 4.36094 + 16.2753i 0.325045 + 1.21309i
\(181\) −21.4482 −1.59423 −0.797117 0.603825i \(-0.793643\pi\)
−0.797117 + 0.603825i \(0.793643\pi\)
\(182\) −24.8345 7.84888i −1.84086 0.581798i
\(183\) −0.639380 −0.0472643
\(184\) 1.35836 + 5.06947i 0.100140 + 0.373726i
\(185\) 17.7542 + 10.2504i 1.30532 + 0.753626i
\(186\) −9.19322 + 5.30771i −0.674079 + 0.389180i
\(187\) 0.763000 + 0.763000i 0.0557961 + 0.0557961i
\(188\) 13.0814 48.8203i 0.954057 3.56059i
\(189\) 2.56046 0.666364i 0.186246 0.0484708i
\(190\) −34.9901 34.9901i −2.53845 2.53845i
\(191\) 0.111216 + 0.192631i 0.00804729 + 0.0139383i 0.870021 0.493015i \(-0.164105\pi\)
−0.861974 + 0.506953i \(0.830772\pi\)
\(192\) 14.7278 25.5093i 1.06289 1.84098i
\(193\) −1.98209 + 0.531099i −0.142674 + 0.0382293i −0.329449 0.944173i \(-0.606863\pi\)
0.186775 + 0.982403i \(0.440196\pi\)
\(194\) 34.2849 2.46152
\(195\) 5.92303 9.43235i 0.424157 0.675464i
\(196\) 19.5646 32.7880i 1.39747 2.34200i
\(197\) 3.40878 + 12.7217i 0.242865 + 0.906386i 0.974444 + 0.224629i \(0.0721171\pi\)
−0.731579 + 0.681757i \(0.761216\pi\)
\(198\) −0.645294 + 1.11768i −0.0458590 + 0.0794302i
\(199\) −1.49318 2.58626i −0.105849 0.183335i 0.808236 0.588859i \(-0.200423\pi\)
−0.914085 + 0.405523i \(0.867089\pi\)
\(200\) −30.2947 + 30.2947i −2.14216 + 2.14216i
\(201\) −2.17304 + 8.10989i −0.153274 + 0.572027i
\(202\) −17.0585 4.57081i −1.20023 0.321601i
\(203\) −18.5993 5.12739i −1.30541 0.359872i
\(204\) −6.22567 10.7832i −0.435884 0.754973i
\(205\) 4.14152 + 2.39111i 0.289256 + 0.167002i
\(206\) −6.02704 22.4932i −0.419923 1.56718i
\(207\) 0.556448i 0.0386758i
\(208\) −52.1705 + 11.9231i −3.61737 + 0.826715i
\(209\) 2.77332i 0.191835i
\(210\) 15.6648 + 15.8919i 1.08097 + 1.09664i
\(211\) 3.61160 6.25548i 0.248633 0.430645i −0.714514 0.699621i \(-0.753352\pi\)
0.963147 + 0.268976i \(0.0866853\pi\)
\(212\) −19.7310 + 11.3917i −1.35513 + 0.782384i
\(213\) 1.56360 + 1.56360i 0.107136 + 0.107136i
\(214\) −12.3645 3.31306i −0.845222 0.226476i
\(215\) −17.5242 4.69560i −1.19514 0.320237i
\(216\) 6.66928 6.66928i 0.453787 0.453787i
\(217\) −5.20733 + 8.87132i −0.353496 + 0.602224i
\(218\) −12.2421 7.06797i −0.829138 0.478703i
\(219\) 3.33267 0.892986i 0.225201 0.0603424i
\(220\) −7.96457 −0.536971
\(221\) −2.42380 + 7.86565i −0.163043 + 0.529101i
\(222\) 18.1197i 1.21612i
\(223\) 18.5687 4.97547i 1.24345 0.333182i 0.423649 0.905827i \(-0.360749\pi\)
0.819804 + 0.572644i \(0.194082\pi\)
\(224\) 0.412385 57.3080i 0.0275536 3.82905i
\(225\) −3.93385 + 2.27121i −0.262257 + 0.151414i
\(226\) −17.0345 + 17.0345i −1.13312 + 1.13312i
\(227\) −3.99587 + 14.9128i −0.265215 + 0.989797i 0.696903 + 0.717165i \(0.254561\pi\)
−0.962118 + 0.272632i \(0.912106\pi\)
\(228\) −8.28273 + 30.9116i −0.548537 + 2.04717i
\(229\) −8.38486 + 8.38486i −0.554087 + 0.554087i −0.927618 0.373531i \(-0.878147\pi\)
0.373531 + 0.927618i \(0.378147\pi\)
\(230\) −4.06437 + 2.34657i −0.267997 + 0.154728i
\(231\) −0.00899919 + 1.25059i −0.000592103 + 0.0822830i
\(232\) −66.4341 + 17.8010i −4.36161 + 1.16869i
\(233\) 19.9540i 1.30723i 0.756828 + 0.653614i \(0.226748\pi\)
−0.756828 + 0.653614i \(0.773252\pi\)
\(234\) −9.83743 0.365313i −0.643093 0.0238812i
\(235\) 28.6241 1.86723
\(236\) 77.8796 20.8678i 5.06953 1.35838i
\(237\) 10.2203 + 5.90068i 0.663878 + 0.383290i
\(238\) −14.2210 8.34753i −0.921812 0.541090i
\(239\) −5.27726 + 5.27726i −0.341357 + 0.341357i −0.856877 0.515520i \(-0.827599\pi\)
0.515520 + 0.856877i \(0.327599\pi\)
\(240\) 44.2876 + 11.8668i 2.85875 + 0.766000i
\(241\) 8.35123 + 2.23771i 0.537950 + 0.144143i 0.517557 0.855649i \(-0.326842\pi\)
0.0203932 + 0.999792i \(0.493508\pi\)
\(242\) 20.8053 + 20.8053i 1.33742 + 1.33742i
\(243\) 0.866025 0.500000i 0.0555556 0.0320750i
\(244\) −1.74375 + 3.02026i −0.111632 + 0.193352i
\(245\) 20.8041 + 5.89659i 1.32912 + 0.376720i
\(246\) 4.22677i 0.269489i
\(247\) 18.6998 9.88990i 1.18984 0.629280i
\(248\) 36.6709i 2.32861i
\(249\) 0.661811 + 2.46991i 0.0419406 + 0.156524i
\(250\) 3.34225 + 1.92965i 0.211382 + 0.122042i
\(251\) 8.48610 + 14.6984i 0.535638 + 0.927752i 0.999132 + 0.0416520i \(0.0132621\pi\)
−0.463494 + 0.886100i \(0.653405\pi\)
\(252\) 3.83529 13.9123i 0.241601 0.876391i
\(253\) −0.254066 0.0680768i −0.0159730 0.00427995i
\(254\) 6.79257 25.3502i 0.426204 1.59061i
\(255\) 4.98627 4.98627i 0.312252 0.312252i
\(256\) −21.1921 36.7057i −1.32450 2.29411i
\(257\) 3.36830 5.83406i 0.210109 0.363919i −0.741640 0.670798i \(-0.765952\pi\)
0.951748 + 0.306880i \(0.0992849\pi\)
\(258\) 4.15022 + 15.4888i 0.258381 + 0.964293i
\(259\) −8.66968 15.2690i −0.538708 0.948771i
\(260\) −28.4023 53.7032i −1.76144 3.33053i
\(261\) −7.29211 −0.451370
\(262\) −41.1559 + 11.0277i −2.54262 + 0.681294i
\(263\) −2.64276 + 4.57739i −0.162960 + 0.282254i −0.935929 0.352189i \(-0.885437\pi\)
0.772969 + 0.634443i \(0.218771\pi\)
\(264\) 2.22917 + 3.86103i 0.137196 + 0.237630i
\(265\) −9.12383 9.12383i −0.560472 0.560472i
\(266\) 10.6744 + 41.0156i 0.654488 + 2.51483i
\(267\) −0.363443 + 1.35639i −0.0222423 + 0.0830095i
\(268\) 32.3825 + 32.3825i 1.97808 + 1.97808i
\(269\) 2.83734 1.63814i 0.172995 0.0998789i −0.411002 0.911634i \(-0.634821\pi\)
0.583997 + 0.811755i \(0.301488\pi\)
\(270\) 7.30414 + 4.21705i 0.444516 + 0.256641i
\(271\) 3.01677 + 11.2587i 0.183256 + 0.683919i 0.994997 + 0.0999024i \(0.0318531\pi\)
−0.811742 + 0.584017i \(0.801480\pi\)
\(272\) −33.8821 −2.05440
\(273\) −8.46454 + 4.39904i −0.512297 + 0.266242i
\(274\) −53.1036 −3.20811
\(275\) −0.555727 2.07400i −0.0335116 0.125067i
\(276\) 2.62851 + 1.51757i 0.158218 + 0.0913471i
\(277\) 3.66204 2.11428i 0.220031 0.127035i −0.385934 0.922526i \(-0.626121\pi\)
0.605964 + 0.795492i \(0.292787\pi\)
\(278\) −10.8146 10.8146i −0.648618 0.648618i
\(279\) −1.00629 + 3.75553i −0.0602451 + 0.224838i
\(280\) 74.6005 19.4149i 4.45823 1.16026i
\(281\) 18.2360 + 18.2360i 1.08787 + 1.08787i 0.995748 + 0.0921208i \(0.0293646\pi\)
0.0921208 + 0.995748i \(0.470635\pi\)
\(282\) −12.6497 21.9100i −0.753280 1.30472i
\(283\) 1.92179 3.32864i 0.114239 0.197867i −0.803236 0.595660i \(-0.796890\pi\)
0.917475 + 0.397793i \(0.130224\pi\)
\(284\) 11.6503 3.12170i 0.691320 0.185239i
\(285\) −18.1239 −1.07357
\(286\) 1.37032 4.44693i 0.0810290 0.262953i
\(287\) −2.02237 3.56179i −0.119377 0.210246i
\(288\) −5.60626 20.9229i −0.330352 1.23289i
\(289\) 5.89449 10.2096i 0.346735 0.600562i
\(290\) −30.7512 53.2626i −1.80577 3.12768i
\(291\) 8.87931 8.87931i 0.520514 0.520514i
\(292\) 4.87079 18.1780i 0.285041 1.06379i
\(293\) −28.6306 7.67154i −1.67262 0.448176i −0.706802 0.707412i \(-0.749863\pi\)
−0.965814 + 0.259236i \(0.916529\pi\)
\(294\) −4.68038 18.5301i −0.272965 1.08070i
\(295\) 22.8310 + 39.5444i 1.32927 + 2.30236i
\(296\) −54.2085 31.2973i −3.15080 1.81912i
\(297\) 0.122342 + 0.456585i 0.00709899 + 0.0264938i
\(298\) 54.1539i 3.13705i
\(299\) −0.446995 1.95587i −0.0258504 0.113111i
\(300\) 24.7766i 1.43048i
\(301\) 10.9082 + 11.0663i 0.628737 + 0.637851i
\(302\) 1.22990 2.13025i 0.0707727 0.122582i
\(303\) −5.60168 + 3.23413i −0.321808 + 0.185796i
\(304\) 61.5766 + 61.5766i 3.53166 + 3.53166i
\(305\) −1.90780 0.511192i −0.109240 0.0292708i
\(306\) −6.02025 1.61312i −0.344155 0.0922159i
\(307\) 20.2018 20.2018i 1.15298 1.15298i 0.167023 0.985953i \(-0.446584\pi\)
0.985953 0.167023i \(-0.0534155\pi\)
\(308\) 5.88293 + 3.45319i 0.335211 + 0.196764i
\(309\) −7.38633 4.26450i −0.420194 0.242599i
\(310\) −31.6745 + 8.48716i −1.79899 + 0.482038i
\(311\) −24.6309 −1.39669 −0.698345 0.715762i \(-0.746080\pi\)
−0.698345 + 0.715762i \(0.746080\pi\)
\(312\) −18.0846 + 28.7995i −1.02384 + 1.63045i
\(313\) 8.19304i 0.463098i −0.972823 0.231549i \(-0.925621\pi\)
0.972823 0.231549i \(-0.0743794\pi\)
\(314\) −0.280560 + 0.0751759i −0.0158329 + 0.00424242i
\(315\) 8.17273 + 0.0588104i 0.460481 + 0.00331359i
\(316\) 55.7465 32.1852i 3.13598 1.81056i
\(317\) 6.24432 6.24432i 0.350716 0.350716i −0.509660 0.860376i \(-0.670229\pi\)
0.860376 + 0.509660i \(0.170229\pi\)
\(318\) −2.95167 + 11.0158i −0.165522 + 0.617735i
\(319\) 0.892129 3.32947i 0.0499496 0.186414i
\(320\) 64.3402 64.3402i 3.59672 3.59672i
\(321\) −4.06027 + 2.34420i −0.226622 + 0.130840i
\(322\) 4.01949 + 0.0289240i 0.223998 + 0.00161187i
\(323\) 12.9368 3.46641i 0.719823 0.192876i
\(324\) 5.45450i 0.303028i
\(325\) 12.0027 11.1432i 0.665791 0.618113i
\(326\) −39.1323 −2.16734
\(327\) −5.00102 + 1.34002i −0.276557 + 0.0741033i
\(328\) −12.6452 7.30069i −0.698213 0.403113i
\(329\) −21.1428 12.4105i −1.16564 0.684213i
\(330\) −2.81904 + 2.81904i −0.155183 + 0.155183i
\(331\) −28.6185 7.66830i −1.57301 0.421488i −0.636260 0.771475i \(-0.719519\pi\)
−0.936755 + 0.349987i \(0.886186\pi\)
\(332\) 13.4721 + 3.60985i 0.739379 + 0.198116i
\(333\) −4.69275 4.69275i −0.257161 0.257161i
\(334\) 33.4413 19.3074i 1.82983 1.05645i
\(335\) −12.9679 + 22.4611i −0.708513 + 1.22718i
\(336\) −27.5674 27.9670i −1.50392 1.52572i
\(337\) 24.6356i 1.34198i −0.741464 0.670992i \(-0.765868\pi\)
0.741464 0.670992i \(-0.234132\pi\)
\(338\) 34.8713 6.61838i 1.89675 0.359992i
\(339\) 8.82339i 0.479221i
\(340\) −9.95501 37.1526i −0.539886 2.01488i
\(341\) −1.59161 0.918916i −0.0861905 0.0497621i
\(342\) 8.00943 + 13.8727i 0.433100 + 0.750151i
\(343\) −12.8101 13.3754i −0.691679 0.722205i
\(344\) 53.5062 + 14.3369i 2.88486 + 0.772996i
\(345\) −0.444887 + 1.66034i −0.0239519 + 0.0893898i
\(346\) 0.804681 0.804681i 0.0432599 0.0432599i
\(347\) −6.69623 11.5982i −0.359472 0.622624i 0.628401 0.777890i \(-0.283710\pi\)
−0.987873 + 0.155266i \(0.950377\pi\)
\(348\) −19.8874 + 34.4460i −1.06608 + 1.84650i
\(349\) −2.72247 10.1604i −0.145730 0.543874i −0.999722 0.0235863i \(-0.992492\pi\)
0.853991 0.520287i \(-0.174175\pi\)
\(350\) 16.2016 + 28.5342i 0.866010 + 1.52522i
\(351\) −2.64236 + 2.45314i −0.141039 + 0.130939i
\(352\) 10.2390 0.545738
\(353\) −14.9904 + 4.01667i −0.797859 + 0.213786i −0.634644 0.772805i \(-0.718853\pi\)
−0.163215 + 0.986590i \(0.552187\pi\)
\(354\) 20.1792 34.9514i 1.07251 1.85765i
\(355\) 3.41538 + 5.91561i 0.181270 + 0.313968i
\(356\) 5.41601 + 5.41601i 0.287048 + 0.287048i
\(357\) −5.84493 + 1.52115i −0.309347 + 0.0805079i
\(358\) 7.34206 27.4009i 0.388040 1.44818i
\(359\) −7.20920 7.20920i −0.380487 0.380487i 0.490791 0.871278i \(-0.336708\pi\)
−0.871278 + 0.490791i \(0.836708\pi\)
\(360\) 25.2321 14.5678i 1.32985 0.767790i
\(361\) −13.3564 7.71133i −0.702969 0.405859i
\(362\) 15.1564 + 56.5645i 0.796604 + 2.97297i
\(363\) 10.7766 0.565623
\(364\) −2.30500 + 51.9815i −0.120815 + 2.72457i
\(365\) 10.6580 0.557868
\(366\) 0.451819 + 1.68621i 0.0236169 + 0.0881397i
\(367\) 13.1818 + 7.61053i 0.688085 + 0.397266i 0.802894 0.596121i \(-0.203292\pi\)
−0.114809 + 0.993388i \(0.536626\pi\)
\(368\) 7.15260 4.12955i 0.372855 0.215268i
\(369\) −1.09467 1.09467i −0.0569864 0.0569864i
\(370\) 14.4870 54.0660i 0.753141 2.81076i
\(371\) 2.78339 + 10.6950i 0.144506 + 0.555257i
\(372\) 14.9957 + 14.9957i 0.777492 + 0.777492i
\(373\) 16.3260 + 28.2774i 0.845326 + 1.46415i 0.885338 + 0.464948i \(0.153927\pi\)
−0.0400122 + 0.999199i \(0.512740\pi\)
\(374\) 1.47305 2.55141i 0.0761698 0.131930i
\(375\) 1.36534 0.365843i 0.0705061 0.0188921i
\(376\) −87.3969 −4.50715
\(377\) 25.6312 5.85776i 1.32007 0.301690i
\(378\) −3.56673 6.28171i −0.183453 0.323097i
\(379\) 6.47610 + 24.1691i 0.332655 + 1.24149i 0.906389 + 0.422444i \(0.138828\pi\)
−0.573734 + 0.819042i \(0.694506\pi\)
\(380\) −49.4284 + 85.6124i −2.53562 + 4.39183i
\(381\) −4.80617 8.32452i −0.246227 0.426478i
\(382\) 0.429428 0.429428i 0.0219714 0.0219714i
\(383\) −4.70967 + 17.5767i −0.240653 + 0.898129i 0.734866 + 0.678213i \(0.237245\pi\)
−0.975519 + 0.219917i \(0.929421\pi\)
\(384\) −35.8364 9.60232i −1.82877 0.490017i
\(385\) −1.02672 + 3.72435i −0.0523264 + 0.189811i
\(386\) 2.80129 + 4.85198i 0.142582 + 0.246959i
\(387\) 5.08624 + 2.93654i 0.258548 + 0.149273i
\(388\) −17.7274 66.1596i −0.899973 3.35874i
\(389\) 6.12739i 0.310671i −0.987862 0.155336i \(-0.950354\pi\)
0.987862 0.155336i \(-0.0496459\pi\)
\(390\) −29.0611 8.95518i −1.47156 0.453463i
\(391\) 1.27024i 0.0642388i
\(392\) −63.5204 18.0039i −3.20826 0.909334i
\(393\) −7.80278 + 13.5148i −0.393598 + 0.681732i
\(394\) 31.1417 17.9797i 1.56890 0.905803i
\(395\) 25.7778 + 25.7778i 1.29702 + 1.29702i
\(396\) 2.49044 + 0.667313i 0.125150 + 0.0335337i
\(397\) 12.7566 + 3.41813i 0.640237 + 0.171551i 0.564311 0.825563i \(-0.309142\pi\)
0.0759261 + 0.997113i \(0.475809\pi\)
\(398\) −5.76549 + 5.76549i −0.288998 + 0.288998i
\(399\) 13.3870 + 7.85795i 0.670187 + 0.393390i
\(400\) 58.3884 + 33.7105i 2.91942 + 1.68553i
\(401\) −4.95448 + 1.32755i −0.247415 + 0.0662946i −0.380395 0.924824i \(-0.624212\pi\)
0.132980 + 0.991119i \(0.457545\pi\)
\(402\) 22.9235 1.14332
\(403\) 0.520216 14.0088i 0.0259138 0.697827i
\(404\) 35.2811i 1.75530i
\(405\) 2.98382 0.799513i 0.148267 0.0397281i
\(406\) −0.379042 + 52.6744i −0.0188115 + 2.61419i
\(407\) 2.71676 1.56852i 0.134665 0.0777488i
\(408\) −15.2244 + 15.2244i −0.753721 + 0.753721i
\(409\) −4.13326 + 15.4255i −0.204377 + 0.762744i 0.785262 + 0.619164i \(0.212528\pi\)
−0.989639 + 0.143580i \(0.954138\pi\)
\(410\) 3.37936 12.6119i 0.166895 0.622859i
\(411\) −13.7531 + 13.7531i −0.678389 + 0.678389i
\(412\) −40.2887 + 23.2607i −1.98488 + 1.14597i
\(413\) 0.281417 39.1078i 0.0138476 1.92437i
\(414\) 1.46750 0.393215i 0.0721236 0.0193254i
\(415\) 7.89891i 0.387742i
\(416\) 36.5130 + 69.0388i 1.79020 + 3.38491i
\(417\) −5.60167 −0.274315
\(418\) −7.31398 + 1.95977i −0.357738 + 0.0958557i
\(419\) 12.6468 + 7.30162i 0.617836 + 0.356708i 0.776026 0.630701i \(-0.217233\pi\)
−0.158190 + 0.987409i \(0.550566\pi\)
\(420\) 22.5669 38.4454i 1.10115 1.87594i
\(421\) 2.04328 2.04328i 0.0995835 0.0995835i −0.655560 0.755143i \(-0.727567\pi\)
0.755143 + 0.655560i \(0.227567\pi\)
\(422\) −19.0495 5.10429i −0.927314 0.248473i
\(423\) −8.95047 2.39827i −0.435187 0.116608i
\(424\) 27.8575 + 27.8575i 1.35288 + 1.35288i
\(425\) 8.98005 5.18464i 0.435597 0.251492i
\(426\) 3.01869 5.22853i 0.146256 0.253323i
\(427\) 1.18753 + 1.20475i 0.0574687 + 0.0583018i
\(428\) 25.5729i 1.23611i
\(429\) −0.796798 1.50659i −0.0384698 0.0727387i
\(430\) 49.5341i 2.38875i
\(431\) 2.83206 + 10.5694i 0.136416 + 0.509110i 0.999988 + 0.00488525i \(0.00155503\pi\)
−0.863572 + 0.504225i \(0.831778\pi\)
\(432\) −12.8540 7.42128i −0.618440 0.357056i
\(433\) −17.9201 31.0385i −0.861184 1.49161i −0.870787 0.491660i \(-0.836390\pi\)
0.00960365 0.999954i \(-0.496943\pi\)
\(434\) 27.0757 + 7.46415i 1.29968 + 0.358291i
\(435\) −21.7583 5.83013i −1.04323 0.279533i
\(436\) −7.30914 + 27.2781i −0.350044 + 1.30638i
\(437\) −2.30851 + 2.30851i −0.110431 + 0.110431i
\(438\) −4.71007 8.15808i −0.225056 0.389808i
\(439\) 0.772225 1.33753i 0.0368563 0.0638369i −0.847009 0.531579i \(-0.821599\pi\)
0.883865 + 0.467742i \(0.154932\pi\)
\(440\) 3.56449 + 13.3029i 0.169931 + 0.634190i
\(441\) −6.01118 3.58688i −0.286247 0.170804i
\(442\) 22.4565 + 0.833923i 1.06815 + 0.0396657i
\(443\) −16.1657 −0.768055 −0.384027 0.923322i \(-0.625463\pi\)
−0.384027 + 0.923322i \(0.625463\pi\)
\(444\) −34.9656 + 9.36900i −1.65939 + 0.444633i
\(445\) −2.16890 + 3.75664i −0.102816 + 0.178082i
\(446\) −26.2432 45.4546i −1.24265 2.15234i
\(447\) 14.0251 + 14.0251i 0.663364 + 0.663364i
\(448\) −75.4199 + 19.6281i −3.56326 + 0.927343i
\(449\) −3.96795 + 14.8086i −0.187259 + 0.698861i 0.806876 + 0.590720i \(0.201156\pi\)
−0.994136 + 0.108140i \(0.965510\pi\)
\(450\) 8.76963 + 8.76963i 0.413404 + 0.413404i
\(451\) 0.633736 0.365888i 0.0298415 0.0172290i
\(452\) 41.6793 + 24.0636i 1.96043 + 1.13186i
\(453\) −0.233177 0.870230i −0.0109556 0.0408870i
\(454\) 42.1526 1.97832
\(455\) −28.7738 + 6.35845i −1.34894 + 0.298089i
\(456\) 55.3371 2.59140
\(457\) −7.14198 26.6542i −0.334088 1.24683i −0.904855 0.425720i \(-0.860021\pi\)
0.570767 0.821112i \(-0.306646\pi\)
\(458\) 28.0382 + 16.1879i 1.31014 + 0.756410i
\(459\) −1.97693 + 1.14138i −0.0922753 + 0.0532752i
\(460\) 6.62969 + 6.62969i 0.309111 + 0.309111i
\(461\) −0.630674 + 2.35371i −0.0293734 + 0.109623i −0.979056 0.203590i \(-0.934739\pi\)
0.949683 + 0.313214i \(0.101406\pi\)
\(462\) 3.30450 0.860001i 0.153739 0.0400109i
\(463\) −15.9059 15.9059i −0.739208 0.739208i 0.233216 0.972425i \(-0.425075\pi\)
−0.972425 + 0.233216i \(0.925075\pi\)
\(464\) 54.1167 + 93.7330i 2.51231 + 4.35144i
\(465\) −6.00519 + 10.4013i −0.278484 + 0.482349i
\(466\) 52.6238 14.1005i 2.43775 0.653193i
\(467\) −6.66294 −0.308324 −0.154162 0.988046i \(-0.549268\pi\)
−0.154162 + 0.988046i \(0.549268\pi\)
\(468\) 4.38161 + 19.1722i 0.202540 + 0.886233i
\(469\) 19.3170 10.9681i 0.891977 0.506460i
\(470\) −20.2272 75.4891i −0.933013 3.48205i
\(471\) −0.0531916 + 0.0921305i −0.00245094 + 0.00424515i
\(472\) −69.7091 120.740i −3.20862 5.55750i
\(473\) −1.96304 + 1.96304i −0.0902607 + 0.0902607i
\(474\) 8.33945 31.1232i 0.383044 1.42954i
\(475\) −25.7426 6.89772i −1.18115 0.316489i
\(476\) −8.75507 + 31.7585i −0.401288 + 1.45565i
\(477\) 2.08849 + 3.61738i 0.0956255 + 0.165628i
\(478\) 17.6467 + 10.1883i 0.807140 + 0.466003i
\(479\) −5.91010 22.0568i −0.270039 1.00780i −0.959093 0.283090i \(-0.908640\pi\)
0.689054 0.724710i \(-0.258026\pi\)
\(480\) 66.9124i 3.05412i
\(481\) 20.2644 + 12.7250i 0.923975 + 0.580209i
\(482\) 23.6057i 1.07521i
\(483\) 1.04848 1.03350i 0.0477076 0.0470259i
\(484\) 29.3904 50.9056i 1.33593 2.31389i
\(485\) 33.5934 19.3952i 1.52540 0.880689i
\(486\) −1.93061 1.93061i −0.0875742 0.0875742i
\(487\) 12.0330 + 3.22424i 0.545269 + 0.146104i 0.520930 0.853600i \(-0.325585\pi\)
0.0243387 + 0.999704i \(0.492252\pi\)
\(488\) 5.82501 + 1.56081i 0.263686 + 0.0706544i
\(489\) −10.1347 + 10.1347i −0.458307 + 0.458307i
\(490\) 0.849633 59.0325i 0.0383825 2.66682i
\(491\) −16.7889 9.69310i −0.757674 0.437443i 0.0707859 0.997492i \(-0.477449\pi\)
−0.828460 + 0.560048i \(0.810783\pi\)
\(492\) −8.15640 + 2.18550i −0.367719 + 0.0985299i
\(493\) 16.6462 0.749706
\(494\) −39.2965 42.3276i −1.76803 1.90441i
\(495\) 1.46018i 0.0656304i
\(496\) 55.7417 14.9359i 2.50288 0.670644i
\(497\) 0.0420983 5.85029i 0.00188837 0.262421i
\(498\) 6.04613 3.49074i 0.270934 0.156424i
\(499\) −24.6585 + 24.6585i −1.10386 + 1.10386i −0.109925 + 0.993940i \(0.535061\pi\)
−0.993940 + 0.109925i \(0.964939\pi\)
\(500\) 1.99549 7.44727i 0.0892410 0.333052i
\(501\) 3.66050 13.6612i 0.163539 0.610335i
\(502\) 32.7667 32.7667i 1.46245 1.46245i
\(503\) 27.3019 15.7627i 1.21733 0.702826i 0.252984 0.967470i \(-0.418588\pi\)
0.964346 + 0.264644i \(0.0852546\pi\)
\(504\) −24.9535 0.179564i −1.11152 0.00799842i
\(505\) −19.3001 + 5.17146i −0.858845 + 0.230127i
\(506\) 0.718145i 0.0319254i
\(507\) 7.31710 10.7452i 0.324964 0.477213i
\(508\) −52.4305 −2.32623
\(509\) −3.80510 + 1.01957i −0.168658 + 0.0451918i −0.342160 0.939642i \(-0.611158\pi\)
0.173502 + 0.984834i \(0.444492\pi\)
\(510\) −16.6736 9.62653i −0.738321 0.426270i
\(511\) −7.87243 4.62100i −0.348256 0.204421i
\(512\) −29.3590 + 29.3590i −1.29750 + 1.29750i
\(513\) 5.66717 + 1.51851i 0.250212 + 0.0670440i
\(514\) −17.7662 4.76043i −0.783632 0.209973i
\(515\) −18.6300 18.6300i −0.820935 0.820935i
\(516\) 27.7429 16.0173i 1.22131 0.705124i
\(517\) 2.19003 3.79325i 0.0963175 0.166827i
\(518\) −34.1419 + 33.6541i −1.50011 + 1.47868i
\(519\) 0.416802i 0.0182956i
\(520\) −76.9868 + 71.4737i −3.37609 + 3.13433i
\(521\) 7.46834i 0.327194i −0.986527 0.163597i \(-0.947690\pi\)
0.986527 0.163597i \(-0.0523097\pi\)
\(522\) 5.15298 + 19.2312i 0.225540 + 0.841726i
\(523\) 10.8561 + 6.26775i 0.474703 + 0.274070i 0.718206 0.695830i \(-0.244963\pi\)
−0.243504 + 0.969900i \(0.578297\pi\)
\(524\) 42.5603 + 73.7166i 1.85925 + 3.22032i
\(525\) 11.5859 + 3.19397i 0.505651 + 0.139396i
\(526\) 13.9393 + 3.73502i 0.607782 + 0.162855i
\(527\) 2.29713 8.57300i 0.100064 0.373446i
\(528\) 4.96103 4.96103i 0.215901 0.215901i
\(529\) −11.3452 19.6504i −0.493269 0.854367i
\(530\) −17.6145 + 30.5093i −0.765127 + 1.32524i
\(531\) −3.82579 14.2781i −0.166025 0.619615i
\(532\) 73.6285 41.8059i 3.19220 1.81252i
\(533\) 4.72705 + 2.96834i 0.204751 + 0.128573i
\(534\) 3.83397 0.165912
\(535\) −13.9893 + 3.74843i −0.604812 + 0.162059i
\(536\) 39.5945 68.5797i 1.71022 2.96219i
\(537\) −5.19496 8.99794i −0.224179 0.388290i
\(538\) −6.32520 6.32520i −0.272699 0.272699i
\(539\) 2.37314 2.30579i 0.102218 0.0993175i
\(540\) 4.36094 16.2753i 0.187665 0.700375i
\(541\) −2.43106 2.43106i −0.104519 0.104519i 0.652913 0.757433i \(-0.273547\pi\)
−0.757433 + 0.652913i \(0.773547\pi\)
\(542\) 27.5604 15.9120i 1.18382 0.683479i
\(543\) 18.5747 + 10.7241i 0.797117 + 0.460216i
\(544\) 12.7978 + 47.7620i 0.548701 + 2.04778i
\(545\) −15.9935 −0.685088
\(546\) 17.5829 + 19.2146i 0.752479 + 0.822309i
\(547\) 28.6604 1.22543 0.612716 0.790303i \(-0.290077\pi\)
0.612716 + 0.790303i \(0.290077\pi\)
\(548\) 27.4578 + 102.474i 1.17294 + 4.37747i
\(549\) 0.553719 + 0.319690i 0.0236322 + 0.0136440i
\(550\) −5.07698 + 2.93119i −0.216483 + 0.124987i
\(551\) −30.2524 30.2524i −1.28880 1.28880i
\(552\) 1.35836 5.06947i 0.0578156 0.215771i
\(553\) −7.86399 30.2169i −0.334411 1.28495i
\(554\) −8.16369 8.16369i −0.346842 0.346842i
\(555\) −10.2504 17.7542i −0.435106 0.753626i
\(556\) −15.2771 + 26.4608i −0.647895 + 1.12219i
\(557\) −40.3737 + 10.8181i −1.71069 + 0.458378i −0.975594 0.219584i \(-0.929530\pi\)
−0.735097 + 0.677962i \(0.762863\pi\)
\(558\) 10.6154 0.449386
\(559\) −20.2367 6.23594i −0.855920 0.263752i
\(560\) −59.8961 105.489i −2.53107 4.45772i
\(561\) −0.279277 1.04228i −0.0117911 0.0440050i
\(562\) 35.2066 60.9796i 1.48510 2.57227i
\(563\) 12.8281 + 22.2190i 0.540641 + 0.936418i 0.998867 + 0.0475822i \(0.0151516\pi\)
−0.458226 + 0.888836i \(0.651515\pi\)
\(564\) −35.7390 + 35.7390i −1.50488 + 1.50488i
\(565\) −7.05441 + 26.3274i −0.296781 + 1.10760i
\(566\) −10.1365 2.71608i −0.426070 0.114165i
\(567\) −2.55061 0.703143i −0.107115 0.0295292i
\(568\) −10.4281 18.0620i −0.437552 0.757863i
\(569\) 20.8100 + 12.0147i 0.872401 + 0.503681i 0.868145 0.496310i \(-0.165312\pi\)
0.00425579 + 0.999991i \(0.498645\pi\)
\(570\) 12.8073 + 47.7974i 0.536438 + 2.00201i
\(571\) 9.57728i 0.400797i −0.979714 0.200398i \(-0.935776\pi\)
0.979714 0.200398i \(-0.0642236\pi\)
\(572\) −9.28978 0.344976i −0.388425 0.0144242i
\(573\) 0.222431i 0.00929220i
\(574\) −7.96426 + 7.85046i −0.332422 + 0.327672i
\(575\) −1.26381 + 2.18898i −0.0527045 + 0.0912868i
\(576\) −25.5093 + 14.7278i −1.06289 + 0.613658i
\(577\) −31.4027 31.4027i −1.30731 1.30731i −0.923347 0.383966i \(-0.874558\pi\)
−0.383966 0.923347i \(-0.625442\pi\)
\(578\) −31.0906 8.33071i −1.29320 0.346512i
\(579\) 1.98209 + 0.531099i 0.0823728 + 0.0220717i
\(580\) −86.8804 + 86.8804i −3.60751 + 3.60751i
\(581\) 3.42472 5.83443i 0.142081 0.242053i
\(582\) −29.6916 17.1425i −1.23076 0.710578i
\(583\) −1.90715 + 0.511019i −0.0789861 + 0.0211643i
\(584\) −32.5419 −1.34659
\(585\) −9.84567 + 5.20714i −0.407068 + 0.215289i
\(586\) 80.9274i 3.34308i
\(587\) 6.09066 1.63199i 0.251388 0.0673593i −0.130924 0.991392i \(-0.541794\pi\)
0.382312 + 0.924033i \(0.375128\pi\)
\(588\) −33.3375 + 18.6129i −1.37481 + 0.767583i
\(589\) −19.7552 + 11.4056i −0.813997 + 0.469961i
\(590\) 88.1553 88.1553i 3.62930 3.62930i
\(591\) 3.40878 12.7217i 0.140218 0.523302i
\(592\) −25.4945 + 95.1470i −1.04782 + 3.91052i
\(593\) 27.7021 27.7021i 1.13759 1.13759i 0.148708 0.988881i \(-0.452489\pi\)
0.988881 0.148708i \(-0.0475115\pi\)
\(594\) 1.11768 0.645294i 0.0458590 0.0264767i
\(595\) −18.6564 0.134250i −0.764839 0.00550373i
\(596\) 104.501 28.0009i 4.28052 1.14696i
\(597\) 2.98636i 0.122224i
\(598\) −4.84227 + 2.56096i −0.198015 + 0.104726i
\(599\) 3.79502 0.155060 0.0775301 0.996990i \(-0.475297\pi\)
0.0775301 + 0.996990i \(0.475297\pi\)
\(600\) 41.3833 11.0886i 1.68947 0.452691i
\(601\) 28.0748 + 16.2090i 1.14520 + 0.661180i 0.947712 0.319126i \(-0.103389\pi\)
0.197485 + 0.980306i \(0.436723\pi\)
\(602\) 21.4764 36.5877i 0.875314 1.49120i
\(603\) 5.93685 5.93685i 0.241767 0.241767i
\(604\) −4.74667 1.27187i −0.193139 0.0517515i
\(605\) 32.1553 + 8.61600i 1.30730 + 0.350290i
\(606\) 12.4877 + 12.4877i 0.507277 + 0.507277i
\(607\) 7.81574 4.51242i 0.317231 0.183154i −0.332927 0.942953i \(-0.608036\pi\)
0.650158 + 0.759799i \(0.274703\pi\)
\(608\) 63.5433 110.060i 2.57702 4.46353i
\(609\) 13.5438 + 13.7401i 0.548821 + 0.556777i
\(610\) 5.39259i 0.218340i
\(611\) 33.3868 + 1.23982i 1.35068 + 0.0501576i
\(612\) 12.4513i 0.503316i
\(613\) −6.48271 24.1938i −0.261834 0.977179i −0.964160 0.265323i \(-0.914521\pi\)
0.702325 0.711856i \(-0.252145\pi\)
\(614\) −67.5530 39.0017i −2.72622 1.57398i
\(615\) −2.39111 4.14152i −0.0964187 0.167002i
\(616\) 3.13484 11.3715i 0.126306 0.458169i
\(617\) 22.1083 + 5.92389i 0.890045 + 0.238487i 0.674736 0.738059i \(-0.264257\pi\)
0.215309 + 0.976546i \(0.430924\pi\)
\(618\) −6.02704 + 22.4932i −0.242443 + 0.904809i
\(619\) 27.9275 27.9275i 1.12250 1.12250i 0.131135 0.991365i \(-0.458138\pi\)
0.991365 0.131135i \(-0.0418620\pi\)
\(620\) 32.7553 + 56.7339i 1.31549 + 2.27849i
\(621\) 0.278224 0.481898i 0.0111647 0.0193379i
\(622\) 17.4055 + 64.9581i 0.697895 + 2.60458i
\(623\) 3.23079 1.83443i 0.129439 0.0734948i
\(624\) 51.1425 + 15.7596i 2.04734 + 0.630888i
\(625\) 27.0785 1.08314
\(626\) −21.6072 + 5.78963i −0.863597 + 0.231400i
\(627\) −1.38666 + 2.40177i −0.0553779 + 0.0959174i
\(628\) 0.290133 + 0.502526i 0.0115776 + 0.0200530i
\(629\) 10.7124 + 10.7124i 0.427133 + 0.427133i
\(630\) −5.62017 21.5952i −0.223913 0.860372i
\(631\) −12.1764 + 45.4430i −0.484736 + 1.80906i 0.0965126 + 0.995332i \(0.469231\pi\)
−0.581248 + 0.813726i \(0.697435\pi\)
\(632\) −78.7066 78.7066i −3.13078 3.13078i
\(633\) −6.25548 + 3.61160i −0.248633 + 0.143548i
\(634\) −20.8805 12.0553i −0.829269 0.478779i
\(635\) −7.68518 28.6815i −0.304977 1.13819i
\(636\) 22.7834 0.903419
\(637\) 24.0102 + 7.77882i 0.951319 + 0.308208i
\(638\) −9.41110 −0.372589
\(639\) −0.572316 2.13591i −0.0226405 0.0844954i
\(640\) −99.2522 57.3033i −3.92329 2.26511i
\(641\) −2.21029 + 1.27611i −0.0873011 + 0.0504033i −0.543015 0.839723i \(-0.682717\pi\)
0.455714 + 0.890126i \(0.349384\pi\)
\(642\) 9.05146 + 9.05146i 0.357233 + 0.357233i
\(643\) −7.09734 + 26.4876i −0.279892 + 1.04457i 0.672600 + 0.740006i \(0.265177\pi\)
−0.952492 + 0.304564i \(0.901489\pi\)
\(644\) −2.02251 7.77136i −0.0796980 0.306235i
\(645\) 12.8286 + 12.8286i 0.505127 + 0.505127i
\(646\) −18.2836 31.6682i −0.719360 1.24597i
\(647\) −2.97944 + 5.16054i −0.117134 + 0.202882i −0.918631 0.395117i \(-0.870704\pi\)
0.801497 + 0.597999i \(0.204037\pi\)
\(648\) −9.11041 + 2.44113i −0.357891 + 0.0958965i
\(649\) 6.98721 0.274272
\(650\) −37.8693 23.7799i −1.48535 0.932726i
\(651\) 8.94534 5.07912i 0.350595 0.199066i
\(652\) 20.2338 + 75.5135i 0.792416 + 2.95734i
\(653\) −9.88229 + 17.1166i −0.386724 + 0.669825i −0.992007 0.126185i \(-0.959727\pi\)
0.605283 + 0.796010i \(0.293060\pi\)
\(654\) 7.06797 + 12.2421i 0.276379 + 0.478703i
\(655\) −34.0874 + 34.0874i −1.33190 + 1.33190i
\(656\) −5.94709 + 22.1949i −0.232195 + 0.866563i
\(657\) −3.33267 0.892986i −0.130020 0.0348387i
\(658\) −17.7891 + 64.5289i −0.693492 + 2.51560i
\(659\) 0.623376 + 1.07972i 0.0242833 + 0.0420599i 0.877912 0.478823i \(-0.158936\pi\)
−0.853628 + 0.520882i \(0.825603\pi\)
\(660\) 6.89752 + 3.98229i 0.268486 + 0.155010i
\(661\) −6.22445 23.2300i −0.242103 0.903541i −0.974817 0.223004i \(-0.928414\pi\)
0.732714 0.680536i \(-0.238253\pi\)
\(662\) 80.8932i 3.14400i
\(663\) 6.03190 5.59995i 0.234260 0.217484i
\(664\) 24.1175i 0.935940i
\(665\) 33.6618 + 34.1498i 1.30535 + 1.32427i
\(666\) −9.05986 + 15.6921i −0.351063 + 0.608058i
\(667\) −3.51405 + 2.02884i −0.136065 + 0.0785569i
\(668\) −54.5486 54.5486i −2.11055 2.11055i
\(669\) −18.5687 4.97547i −0.717908 0.192363i
\(670\) 68.3995 + 18.3276i 2.64250 + 0.708057i
\(671\) −0.213709 + 0.213709i −0.00825013 + 0.00825013i
\(672\) −29.0111 + 49.4240i −1.11913 + 1.90657i
\(673\) −43.6649 25.2100i −1.68316 0.971772i −0.959540 0.281573i \(-0.909144\pi\)
−0.723619 0.690199i \(-0.757523\pi\)
\(674\) −64.9704 + 17.4088i −2.50257 + 0.670561i
\(675\) 4.54242 0.174838
\(676\) −30.8021 63.8690i −1.18469 2.45650i
\(677\) 30.3365i 1.16593i 0.812498 + 0.582964i \(0.198107\pi\)
−0.812498 + 0.582964i \(0.801893\pi\)
\(678\) 23.2696 6.23506i 0.893662 0.239456i
\(679\) −33.2225 0.239067i −1.27496 0.00917454i
\(680\) −57.5991 + 33.2548i −2.20882 + 1.27526i
\(681\) 10.9169 10.9169i 0.418338 0.418338i
\(682\) −1.29871 + 4.84684i −0.0497301 + 0.185595i
\(683\) −6.38263 + 23.8203i −0.244224 + 0.911458i 0.729547 + 0.683930i \(0.239731\pi\)
−0.973772 + 0.227528i \(0.926936\pi\)
\(684\) 22.6288 22.6288i 0.865235 0.865235i
\(685\) −52.0325 + 30.0410i −1.98806 + 1.14781i
\(686\) −26.2222 + 43.2353i −1.00117 + 1.65073i
\(687\) 11.4539 3.06907i 0.436995 0.117092i
\(688\) 87.1715i 3.32338i
\(689\) −10.2467 11.0371i −0.390370 0.420481i
\(690\) 4.69313 0.178664
\(691\) 40.1209 10.7504i 1.52627 0.408963i 0.604470 0.796628i \(-0.293385\pi\)
0.921800 + 0.387666i \(0.126718\pi\)
\(692\) −1.96886 1.13672i −0.0748449 0.0432117i
\(693\) 0.633090 1.07855i 0.0240491 0.0409706i
\(694\) −25.8556 + 25.8556i −0.981464 + 0.981464i
\(695\) −16.7144 4.47860i −0.634012 0.169883i
\(696\) 66.4341 + 17.8010i 2.51818 + 0.674744i
\(697\) 2.49888 + 2.49888i 0.0946519 + 0.0946519i
\(698\) −24.8718 + 14.3597i −0.941411 + 0.543524i
\(699\) 9.97698 17.2806i 0.377364 0.653614i
\(700\) 46.6851 46.0181i 1.76453 1.73932i
\(701\) 1.87133i 0.0706790i 0.999375 + 0.0353395i \(0.0112513\pi\)
−0.999375 + 0.0353395i \(0.988749\pi\)
\(702\) 8.33681 + 5.23509i 0.314653 + 0.197586i
\(703\) 38.9372i 1.46854i
\(704\) −3.60365 13.4490i −0.135818 0.506878i
\(705\) −24.7892 14.3120i −0.933614 0.539022i
\(706\) 21.1860 + 36.6952i 0.797346 + 1.38104i
\(707\) 16.4980 + 4.54811i 0.620471 + 0.171049i
\(708\) −77.8796 20.8678i −2.92690 0.784259i
\(709\) −1.15519 + 4.31123i −0.0433841 + 0.161912i −0.984219 0.176953i \(-0.943376\pi\)
0.940835 + 0.338864i \(0.110043\pi\)
\(710\) 13.1875 13.1875i 0.494919 0.494919i
\(711\) −5.90068 10.2203i −0.221293 0.383290i
\(712\) 6.62222 11.4700i 0.248178 0.429858i
\(713\) 0.559949 + 2.08976i 0.0209702 + 0.0782620i
\(714\) 8.14200 + 14.3397i 0.304707 + 0.536649i
\(715\) −1.17297 5.13244i −0.0438665 0.191942i
\(716\) −56.6718 −2.11793
\(717\) 7.20887 1.93161i 0.269220 0.0721373i
\(718\) −13.9181 + 24.1069i −0.519421 + 0.899663i
\(719\) 9.74009 + 16.8703i 0.363244 + 0.629157i 0.988493 0.151269i \(-0.0483358\pi\)
−0.625249 + 0.780426i \(0.715002\pi\)
\(720\) −32.4207 32.4207i −1.20825 1.20825i
\(721\) 5.68342 + 21.8382i 0.211662 + 0.813296i
\(722\) −10.8984 + 40.6736i −0.405598 + 1.51371i
\(723\) −6.11353 6.11353i −0.227365 0.227365i
\(724\) 101.316 58.4946i 3.76537 2.17394i
\(725\) −28.6860 16.5619i −1.06537 0.615093i
\(726\) −7.61528 28.4206i −0.282629 1.05479i
\(727\) −36.9369 −1.36991 −0.684957 0.728583i \(-0.740179\pi\)
−0.684957 + 0.728583i \(0.740179\pi\)
\(728\) 87.8541 19.4141i 3.25609 0.719533i
\(729\) −1.00000 −0.0370370
\(730\) −7.53153 28.1080i −0.278754 1.04033i
\(731\) −11.6107 6.70343i −0.429437 0.247935i
\(732\) 3.02026 1.74375i 0.111632 0.0644508i
\(733\) 7.39416 + 7.39416i 0.273109 + 0.273109i 0.830351 0.557241i \(-0.188140\pi\)
−0.557241 + 0.830351i \(0.688140\pi\)
\(734\) 10.7560 40.1419i 0.397011 1.48166i
\(735\) −15.0685 15.5086i −0.555812 0.572044i
\(736\) −8.52289 8.52289i −0.314158 0.314158i
\(737\) 1.98435 + 3.43700i 0.0730946 + 0.126604i
\(738\) −2.11339 + 3.66049i −0.0777948 + 0.134745i
\(739\) −40.7446 + 10.9175i −1.49882 + 0.401606i −0.912703 0.408623i \(-0.866009\pi\)
−0.586112 + 0.810230i \(0.699342\pi\)
\(740\) −111.822 −4.11065
\(741\) −21.1395 0.785015i −0.776579 0.0288382i
\(742\) 26.2386 14.8982i 0.963250 0.546929i
\(743\) −0.209458 0.781707i −0.00768426 0.0286780i 0.961977 0.273130i \(-0.0880588\pi\)
−0.969662 + 0.244452i \(0.921392\pi\)
\(744\) 18.3355 31.7580i 0.672211 1.16430i
\(745\) 30.6351 + 53.0616i 1.12238 + 1.94403i
\(746\) 63.0380 63.0380i 2.30799 2.30799i
\(747\) 0.661811 2.46991i 0.0242144 0.0903694i
\(748\) −5.68510 1.52332i −0.207868 0.0556980i
\(749\) 11.9583 + 3.29661i 0.436945 + 0.120456i
\(750\) −1.92965 3.34225i −0.0704607 0.122042i
\(751\) 41.4868 + 23.9524i 1.51387 + 0.874035i 0.999868 + 0.0162488i \(0.00517239\pi\)
0.514006 + 0.857787i \(0.328161\pi\)
\(752\) 35.5965 + 132.848i 1.29807 + 4.84446i
\(753\) 16.9722i 0.618501i
\(754\) −33.5608 63.4568i −1.22221 2.31096i
\(755\) 2.78304i 0.101285i
\(756\) −10.2776 + 10.1307i −0.373793 + 0.368451i
\(757\) 1.02223 1.77055i 0.0371534 0.0643516i −0.846851 0.531831i \(-0.821504\pi\)
0.884004 + 0.467479i \(0.154838\pi\)
\(758\) 59.1640 34.1583i 2.14893 1.24069i
\(759\) 0.185989 + 0.185989i 0.00675098 + 0.00675098i
\(760\) 165.116 + 44.2427i 5.98939 + 1.60485i
\(761\) 13.8918 + 3.72230i 0.503578 + 0.134933i 0.501660 0.865065i \(-0.332723\pi\)
0.00191784 + 0.999998i \(0.499390\pi\)
\(762\) −18.5576 + 18.5576i −0.672273 + 0.672273i
\(763\) 11.8134 + 6.93430i 0.427674 + 0.251038i
\(764\) −1.05071 0.606626i −0.0380132 0.0219470i
\(765\) −6.81137 + 1.82510i −0.246265 + 0.0659866i
\(766\) 49.6825 1.79510
\(767\) 24.9170 + 47.1130i 0.899700 + 1.70115i
\(768\) 42.3841i 1.52940i
\(769\) −9.09993 + 2.43832i −0.328152 + 0.0879280i −0.419134 0.907925i \(-0.637666\pi\)
0.0909818 + 0.995853i \(0.470999\pi\)
\(770\) 10.5476 + 0.0759000i 0.380110 + 0.00273525i
\(771\) −5.83406 + 3.36830i −0.210109 + 0.121306i
\(772\) 7.91442 7.91442i 0.284846 0.284846i
\(773\) −6.89949 + 25.7493i −0.248157 + 0.926136i 0.723613 + 0.690206i \(0.242480\pi\)
−0.971770 + 0.235930i \(0.924186\pi\)