Properties

Label 546.2.bv.a.515.22
Level $546$
Weight $2$
Character 546.515
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 515.22
Character \(\chi\) \(=\) 546.515
Dual form 546.2.bv.a.317.22

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 + 0.258819i) q^{2} +(-1.45090 - 0.945993i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-2.31362 - 0.619932i) q^{5} +(-1.15662 - 1.28928i) q^{6} +(-1.72913 + 2.00252i) q^{7} +(0.707107 + 0.707107i) q^{8} +(1.21019 + 2.74507i) q^{9} +O(q^{10})\) \(q+(0.965926 + 0.258819i) q^{2} +(-1.45090 - 0.945993i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-2.31362 - 0.619932i) q^{5} +(-1.15662 - 1.28928i) q^{6} +(-1.72913 + 2.00252i) q^{7} +(0.707107 + 0.707107i) q^{8} +(1.21019 + 2.74507i) q^{9} +(-2.07433 - 1.19762i) q^{10} +(4.27634 - 1.14584i) q^{11} +(-0.783515 - 1.54470i) q^{12} +(2.93829 + 2.08961i) q^{13} +(-2.18851 + 1.48675i) q^{14} +(2.77036 + 3.08812i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-0.783047 + 1.35628i) q^{17} +(0.458480 + 2.96476i) q^{18} +(-1.62713 + 6.07252i) q^{19} +(-1.69368 - 1.69368i) q^{20} +(4.40317 - 1.26970i) q^{21} +4.42719 q^{22} +(1.38798 + 2.40405i) q^{23} +(-0.357020 - 1.69486i) q^{24} +(0.638379 + 0.368568i) q^{25} +(2.29734 + 2.77889i) q^{26} +(0.840957 - 5.12765i) q^{27} +(-2.49874 + 0.869667i) q^{28} +10.1305i q^{29} +(1.87670 + 3.69992i) q^{30} +(3.55563 - 0.952728i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-7.28848 - 2.38289i) q^{33} +(-1.10740 + 1.10740i) q^{34} +(5.24198 - 3.56112i) q^{35} +(-0.324478 + 2.98240i) q^{36} +(3.11607 + 0.834949i) q^{37} +(-3.14337 + 5.44447i) q^{38} +(-2.28639 - 5.81140i) q^{39} +(-1.19762 - 2.07433i) q^{40} +(-3.20200 + 3.20200i) q^{41} +(4.58175 - 0.0868122i) q^{42} -4.41157i q^{43} +(4.27634 + 1.14584i) q^{44} +(-1.09817 - 7.10129i) q^{45} +(0.718471 + 2.68137i) q^{46} +(2.70018 - 10.0772i) q^{47} +(0.0938065 - 1.72951i) q^{48} +(-1.02019 - 6.92526i) q^{49} +(0.521234 + 0.521234i) q^{50} +(2.41915 - 1.22706i) q^{51} +(1.49983 + 3.27880i) q^{52} +(-1.99674 - 1.15282i) q^{53} +(2.13944 - 4.73527i) q^{54} -10.6041 q^{55} +(-2.63868 + 0.193314i) q^{56} +(8.10536 - 7.27134i) q^{57} +(-2.62195 + 9.78527i) q^{58} +(-13.4331 + 3.59938i) q^{59} +(0.855145 + 4.05957i) q^{60} +(6.28923 + 10.8933i) q^{61} +3.68106 q^{62} +(-7.58966 - 2.32316i) q^{63} +1.00000i q^{64} +(-5.50266 - 6.65609i) q^{65} +(-6.42339 - 4.18809i) q^{66} +(1.94157 - 0.520241i) q^{67} +(-1.35628 + 0.783047i) q^{68} +(0.260403 - 4.80104i) q^{69} +(5.98505 - 2.08305i) q^{70} +(-2.32126 + 2.32126i) q^{71} +(-1.08532 + 2.79680i) q^{72} +(-0.292666 - 1.09224i) q^{73} +(2.79379 + 1.61300i) q^{74} +(-0.577558 - 1.13866i) q^{75} +(-4.44540 + 4.44540i) q^{76} +(-5.09979 + 10.5448i) q^{77} +(-0.704385 - 6.20515i) q^{78} +(-1.69077 - 2.92850i) q^{79} +(-0.619932 - 2.31362i) q^{80} +(-6.07086 + 6.64414i) q^{81} +(-3.92163 + 2.26416i) q^{82} +(-3.01433 + 3.01433i) q^{83} +(4.44810 + 1.10199i) q^{84} +(2.65247 - 2.65247i) q^{85} +(1.14180 - 4.26125i) q^{86} +(9.58334 - 14.6982i) q^{87} +(3.83406 + 2.21360i) q^{88} +(-1.07667 + 4.01819i) q^{89} +(0.777201 - 7.14354i) q^{90} +(-9.26518 + 2.27077i) q^{91} +2.77596i q^{92} +(-6.06012 - 1.98129i) q^{93} +(5.21635 - 9.03498i) q^{94} +(7.52910 - 13.0408i) q^{95} +(0.538240 - 1.64630i) q^{96} +(1.97173 + 1.97173i) q^{97} +(0.806966 - 6.95333i) q^{98} +(8.32062 + 10.3522i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144q - 16q^{7} + O(q^{10}) \) \( 144q - 16q^{7} + 72q^{16} + 16q^{18} + 8q^{19} + 8q^{21} + 24q^{27} - 8q^{28} - 8q^{31} + 12q^{33} - 8q^{37} + 16q^{39} - 40q^{45} + 8q^{46} + 8q^{52} - 12q^{54} - 32q^{55} + 16q^{57} + 8q^{58} - 32q^{61} - 40q^{63} - 32q^{66} - 8q^{67} + 16q^{72} + 80q^{73} - 16q^{76} + 16q^{78} - 112q^{79} - 48q^{81} + 16q^{84} - 80q^{85} + 96q^{87} - 32q^{91} + 36q^{93} - 64q^{94} - 144q^{97} - 32q^{99} + O(q^{100}) \)

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 + 0.258819i 0.683013 + 0.183013i
\(3\) −1.45090 0.945993i −0.837675 0.546169i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) −2.31362 0.619932i −1.03468 0.277242i −0.298773 0.954324i \(-0.596577\pi\)
−0.735907 + 0.677082i \(0.763244\pi\)
\(6\) −1.15662 1.28928i −0.472187 0.526346i
\(7\) −1.72913 + 2.00252i −0.653552 + 0.756882i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) 1.21019 + 2.74507i 0.403398 + 0.915025i
\(10\) −2.07433 1.19762i −0.655961 0.378719i
\(11\) 4.27634 1.14584i 1.28936 0.345484i 0.451945 0.892046i \(-0.350730\pi\)
0.837419 + 0.546562i \(0.184064\pi\)
\(12\) −0.783515 1.54470i −0.226181 0.445917i
\(13\) 2.93829 + 2.08961i 0.814935 + 0.579553i
\(14\) −2.18851 + 1.48675i −0.584903 + 0.397352i
\(15\) 2.77036 + 3.08812i 0.715305 + 0.797349i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −0.783047 + 1.35628i −0.189917 + 0.328946i −0.945222 0.326427i \(-0.894155\pi\)
0.755305 + 0.655373i \(0.227489\pi\)
\(18\) 0.458480 + 2.96476i 0.108065 + 0.698800i
\(19\) −1.62713 + 6.07252i −0.373289 + 1.39313i 0.482541 + 0.875874i \(0.339714\pi\)
−0.855829 + 0.517259i \(0.826953\pi\)
\(20\) −1.69368 1.69368i −0.378719 0.378719i
\(21\) 4.40317 1.26970i 0.960849 0.277071i
\(22\) 4.42719 0.943880
\(23\) 1.38798 + 2.40405i 0.289414 + 0.501279i 0.973670 0.227962i \(-0.0732063\pi\)
−0.684256 + 0.729242i \(0.739873\pi\)
\(24\) −0.357020 1.69486i −0.0728763 0.345961i
\(25\) 0.638379 + 0.368568i 0.127676 + 0.0737136i
\(26\) 2.29734 + 2.77889i 0.450545 + 0.544985i
\(27\) 0.840957 5.12765i 0.161842 0.986817i
\(28\) −2.49874 + 0.869667i −0.472217 + 0.164352i
\(29\) 10.1305i 1.88118i 0.339547 + 0.940589i \(0.389726\pi\)
−0.339547 + 0.940589i \(0.610274\pi\)
\(30\) 1.87670 + 3.69992i 0.342637 + 0.675510i
\(31\) 3.55563 0.952728i 0.638610 0.171115i 0.0750363 0.997181i \(-0.476093\pi\)
0.563574 + 0.826066i \(0.309426\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) −7.28848 2.38289i −1.26876 0.414808i
\(34\) −1.10740 + 1.10740i −0.189917 + 0.189917i
\(35\) 5.24198 3.56112i 0.886057 0.601939i
\(36\) −0.324478 + 2.98240i −0.0540797 + 0.497067i
\(37\) 3.11607 + 0.834949i 0.512279 + 0.137265i 0.505693 0.862714i \(-0.331237\pi\)
0.00658613 + 0.999978i \(0.497904\pi\)
\(38\) −3.14337 + 5.44447i −0.509922 + 0.883210i
\(39\) −2.28639 5.81140i −0.366116 0.930569i
\(40\) −1.19762 2.07433i −0.189360 0.327981i
\(41\) −3.20200 + 3.20200i −0.500068 + 0.500068i −0.911459 0.411391i \(-0.865043\pi\)
0.411391 + 0.911459i \(0.365043\pi\)
\(42\) 4.58175 0.0868122i 0.706980 0.0133954i
\(43\) 4.41157i 0.672758i −0.941727 0.336379i \(-0.890798\pi\)
0.941727 0.336379i \(-0.109202\pi\)
\(44\) 4.27634 + 1.14584i 0.644682 + 0.172742i
\(45\) −1.09817 7.10129i −0.163705 1.05860i
\(46\) 0.718471 + 2.68137i 0.105933 + 0.395346i
\(47\) 2.70018 10.0772i 0.393862 1.46991i −0.429848 0.902901i \(-0.641433\pi\)
0.823710 0.567011i \(-0.191900\pi\)
\(48\) 0.0938065 1.72951i 0.0135398 0.249633i
\(49\) −1.02019 6.92526i −0.145741 0.989323i
\(50\) 0.521234 + 0.521234i 0.0737136 + 0.0737136i
\(51\) 2.41915 1.22706i 0.338749 0.171823i
\(52\) 1.49983 + 3.27880i 0.207989 + 0.454687i
\(53\) −1.99674 1.15282i −0.274273 0.158352i 0.356555 0.934274i \(-0.383951\pi\)
−0.630828 + 0.775923i \(0.717285\pi\)
\(54\) 2.13944 4.73527i 0.291140 0.644389i
\(55\) −10.6041 −1.42986
\(56\) −2.63868 + 0.193314i −0.352608 + 0.0258326i
\(57\) 8.10536 7.27134i 1.07358 0.963113i
\(58\) −2.62195 + 9.78527i −0.344279 + 1.28487i
\(59\) −13.4331 + 3.59938i −1.74884 + 0.468600i −0.984378 0.176070i \(-0.943661\pi\)
−0.764461 + 0.644670i \(0.776995\pi\)
\(60\) 0.855145 + 4.05957i 0.110399 + 0.524089i
\(61\) 6.28923 + 10.8933i 0.805254 + 1.39474i 0.916120 + 0.400905i \(0.131304\pi\)
−0.110866 + 0.993835i \(0.535362\pi\)
\(62\) 3.68106 0.467495
\(63\) −7.58966 2.32316i −0.956207 0.292691i
\(64\) 1.00000i 0.125000i
\(65\) −5.50266 6.65609i −0.682521 0.825586i
\(66\) −6.42339 4.18809i −0.790665 0.515518i
\(67\) 1.94157 0.520241i 0.237200 0.0635576i −0.138261 0.990396i \(-0.544151\pi\)
0.375461 + 0.926838i \(0.377484\pi\)
\(68\) −1.35628 + 0.783047i −0.164473 + 0.0949584i
\(69\) 0.260403 4.80104i 0.0313488 0.577978i
\(70\) 5.98505 2.08305i 0.715350 0.248973i
\(71\) −2.32126 + 2.32126i −0.275483 + 0.275483i −0.831303 0.555820i \(-0.812404\pi\)
0.555820 + 0.831303i \(0.312404\pi\)
\(72\) −1.08532 + 2.79680i −0.127907 + 0.329606i
\(73\) −0.292666 1.09224i −0.0342539 0.127837i 0.946682 0.322170i \(-0.104412\pi\)
−0.980936 + 0.194333i \(0.937746\pi\)
\(74\) 2.79379 + 1.61300i 0.324772 + 0.187507i
\(75\) −0.577558 1.13866i −0.0666906 0.131481i
\(76\) −4.44540 + 4.44540i −0.509922 + 0.509922i
\(77\) −5.09979 + 10.5448i −0.581175 + 1.20169i
\(78\) −0.704385 6.20515i −0.0797559 0.702594i
\(79\) −1.69077 2.92850i −0.190227 0.329482i 0.755099 0.655611i \(-0.227589\pi\)
−0.945325 + 0.326129i \(0.894256\pi\)
\(80\) −0.619932 2.31362i −0.0693105 0.258670i
\(81\) −6.07086 + 6.64414i −0.674540 + 0.738238i
\(82\) −3.92163 + 2.26416i −0.433072 + 0.250034i
\(83\) −3.01433 + 3.01433i −0.330866 + 0.330866i −0.852915 0.522049i \(-0.825168\pi\)
0.522049 + 0.852915i \(0.325168\pi\)
\(84\) 4.44810 + 1.10199i 0.485328 + 0.120237i
\(85\) 2.65247 2.65247i 0.287701 0.287701i
\(86\) 1.14180 4.26125i 0.123123 0.459502i
\(87\) 9.58334 14.6982i 1.02744 1.57582i
\(88\) 3.83406 + 2.21360i 0.408712 + 0.235970i
\(89\) −1.07667 + 4.01819i −0.114127 + 0.425927i −0.999220 0.0394865i \(-0.987428\pi\)
0.885093 + 0.465414i \(0.154094\pi\)
\(90\) 0.777201 7.14354i 0.0819242 0.752995i
\(91\) −9.26518 + 2.27077i −0.971255 + 0.238042i
\(92\) 2.77596i 0.289414i
\(93\) −6.06012 1.98129i −0.628405 0.205451i
\(94\) 5.21635 9.03498i 0.538025 0.931887i
\(95\) 7.52910 13.0408i 0.772469 1.33796i
\(96\) 0.538240 1.64630i 0.0549339 0.168025i
\(97\) 1.97173 + 1.97173i 0.200199 + 0.200199i 0.800085 0.599887i \(-0.204788\pi\)
−0.599887 + 0.800085i \(0.704788\pi\)
\(98\) 0.806966 6.95333i 0.0815158 0.702392i
\(99\) 8.32062 + 10.3522i 0.836253 + 1.04043i
\(100\) 0.368568 + 0.638379i 0.0368568 + 0.0638379i
\(101\) 4.49445 7.78461i 0.447214 0.774598i −0.550989 0.834512i \(-0.685749\pi\)
0.998204 + 0.0599144i \(0.0190828\pi\)
\(102\) 2.65430 0.559126i 0.262815 0.0553618i
\(103\) 16.1944 9.34982i 1.59568 0.921265i 0.603371 0.797460i \(-0.293824\pi\)
0.992307 0.123805i \(-0.0395097\pi\)
\(104\) 0.600108 + 3.55526i 0.0588454 + 0.348622i
\(105\) −10.9744 + 0.207935i −1.07099 + 0.0202924i
\(106\) −1.63033 1.63033i −0.158352 0.158352i
\(107\) 0.182799 0.105539i 0.0176718 0.0102028i −0.491138 0.871082i \(-0.663419\pi\)
0.508810 + 0.860879i \(0.330086\pi\)
\(108\) 3.29211 4.02020i 0.316784 0.386844i
\(109\) −13.6372 + 3.65408i −1.30621 + 0.349997i −0.843794 0.536667i \(-0.819683\pi\)
−0.462414 + 0.886664i \(0.653016\pi\)
\(110\) −10.2428 2.74456i −0.976615 0.261683i
\(111\) −3.73124 4.15921i −0.354153 0.394774i
\(112\) −2.59880 0.496214i −0.245564 0.0468878i
\(113\) 7.74117i 0.728228i 0.931354 + 0.364114i \(0.118628\pi\)
−0.931354 + 0.364114i \(0.881372\pi\)
\(114\) 9.71114 4.92576i 0.909531 0.461339i
\(115\) −1.72090 6.42250i −0.160475 0.598902i
\(116\) −5.06523 + 8.77323i −0.470294 + 0.814574i
\(117\) −2.18023 + 10.5946i −0.201562 + 0.979476i
\(118\) −13.9070 −1.28024
\(119\) −1.36198 3.91326i −0.124853 0.358728i
\(120\) −0.224688 + 4.14257i −0.0205112 + 0.378164i
\(121\) 7.44783 4.30001i 0.677075 0.390910i
\(122\) 3.25555 + 12.1499i 0.294743 + 1.10000i
\(123\) 7.67483 1.61670i 0.692016 0.145773i
\(124\) 3.55563 + 0.952728i 0.319305 + 0.0855575i
\(125\) 7.21995 + 7.21995i 0.645772 + 0.645772i
\(126\) −6.72977 4.20835i −0.599535 0.374910i
\(127\) 14.6274i 1.29797i −0.760801 0.648985i \(-0.775194\pi\)
0.760801 0.648985i \(-0.224806\pi\)
\(128\) −0.258819 + 0.965926i −0.0228766 + 0.0853766i
\(129\) −4.17332 + 6.40073i −0.367440 + 0.563553i
\(130\) −3.59244 7.85348i −0.315078 0.688796i
\(131\) 13.2073 7.62522i 1.15392 0.666219i 0.204084 0.978953i \(-0.434578\pi\)
0.949841 + 0.312734i \(0.101245\pi\)
\(132\) −5.12056 5.70788i −0.445687 0.496807i
\(133\) −9.34683 13.7586i −0.810473 1.19302i
\(134\) 2.01006 0.173642
\(135\) −5.12444 + 11.3421i −0.441042 + 0.976171i
\(136\) −1.51273 + 0.405335i −0.129716 + 0.0347572i
\(137\) −11.7590 + 3.15082i −1.00464 + 0.269193i −0.723389 0.690441i \(-0.757417\pi\)
−0.281253 + 0.959634i \(0.590750\pi\)
\(138\) 1.49413 4.57006i 0.127189 0.389029i
\(139\) −5.78743 −0.490884 −0.245442 0.969411i \(-0.578933\pi\)
−0.245442 + 0.969411i \(0.578933\pi\)
\(140\) 6.32025 0.463031i 0.534159 0.0391333i
\(141\) −13.4507 + 12.0666i −1.13275 + 1.01619i
\(142\) −2.84295 + 1.64138i −0.238575 + 0.137742i
\(143\) 14.9595 + 5.56906i 1.25097 + 0.465708i
\(144\) −1.77221 + 2.42060i −0.147684 + 0.201716i
\(145\) 6.28019 23.4380i 0.521541 1.94642i
\(146\) 1.13077i 0.0935835i
\(147\) −5.07107 + 11.0129i −0.418254 + 0.908330i
\(148\) 2.28112 + 2.28112i 0.187507 + 0.187507i
\(149\) 12.4133 + 3.32612i 1.01693 + 0.272487i 0.728524 0.685020i \(-0.240207\pi\)
0.288410 + 0.957507i \(0.406873\pi\)
\(150\) −0.263172 1.24934i −0.0214879 0.102008i
\(151\) −3.31813 12.3834i −0.270026 1.00775i −0.959102 0.283061i \(-0.908650\pi\)
0.689076 0.724689i \(-0.258017\pi\)
\(152\) −5.44447 + 3.14337i −0.441605 + 0.254961i
\(153\) −4.67072 0.508164i −0.377605 0.0410826i
\(154\) −7.65521 + 8.86554i −0.616874 + 0.714406i
\(155\) −8.81699 −0.708198
\(156\) 0.925626 6.17602i 0.0741094 0.494477i
\(157\) 9.81438 16.9990i 0.783273 1.35667i −0.146752 0.989173i \(-0.546882\pi\)
0.930025 0.367495i \(-0.119785\pi\)
\(158\) −0.875208 3.26632i −0.0696278 0.259855i
\(159\) 1.80650 + 3.56151i 0.143265 + 0.282447i
\(160\) 2.39523i 0.189360i
\(161\) −7.21417 1.37747i −0.568556 0.108560i
\(162\) −7.58363 + 4.84649i −0.595827 + 0.380777i
\(163\) −3.36505 0.901661i −0.263571 0.0706236i 0.124614 0.992205i \(-0.460231\pi\)
−0.388184 + 0.921582i \(0.626898\pi\)
\(164\) −4.37401 + 1.17201i −0.341553 + 0.0915188i
\(165\) 15.3855 + 10.0315i 1.19776 + 0.780947i
\(166\) −3.69179 + 2.13146i −0.286538 + 0.165433i
\(167\) 8.50343 + 8.50343i 0.658015 + 0.658015i 0.954910 0.296895i \(-0.0959511\pi\)
−0.296895 + 0.954910i \(0.595951\pi\)
\(168\) 4.01132 + 2.21570i 0.309480 + 0.170945i
\(169\) 4.26708 + 12.2797i 0.328237 + 0.944595i
\(170\) 3.24860 1.87558i 0.249156 0.143850i
\(171\) −18.6387 + 2.88234i −1.42533 + 0.220418i
\(172\) 2.20579 3.82053i 0.168190 0.291313i
\(173\) 4.22698 + 7.32134i 0.321371 + 0.556631i 0.980771 0.195161i \(-0.0625229\pi\)
−0.659400 + 0.751792i \(0.729190\pi\)
\(174\) 13.0610 11.7170i 0.990150 0.888267i
\(175\) −1.84191 + 0.641063i −0.139235 + 0.0484598i
\(176\) 3.13050 + 3.13050i 0.235970 + 0.235970i
\(177\) 22.8950 + 7.48528i 1.72089 + 0.562628i
\(178\) −2.07997 + 3.60261i −0.155900 + 0.270027i
\(179\) −4.53130 + 7.84844i −0.338685 + 0.586620i −0.984186 0.177140i \(-0.943315\pi\)
0.645501 + 0.763760i \(0.276649\pi\)
\(180\) 2.59960 6.69898i 0.193763 0.499312i
\(181\) 17.2409i 1.28150i 0.767749 + 0.640751i \(0.221377\pi\)
−0.767749 + 0.640751i \(0.778623\pi\)
\(182\) −9.53720 0.204608i −0.706944 0.0151665i
\(183\) 1.17994 21.7546i 0.0872238 1.60814i
\(184\) −0.718471 + 2.68137i −0.0529664 + 0.197673i
\(185\) −6.69178 3.86350i −0.491990 0.284050i
\(186\) −5.34083 3.48226i −0.391609 0.255331i
\(187\) −1.79450 + 6.69715i −0.131226 + 0.489744i
\(188\) 7.37703 7.37703i 0.538025 0.538025i
\(189\) 8.81410 + 10.5504i 0.641132 + 0.767431i
\(190\) 10.6478 10.6478i 0.772469 0.772469i
\(191\) 8.61894 4.97615i 0.623645 0.360062i −0.154642 0.987971i \(-0.549422\pi\)
0.778287 + 0.627909i \(0.216089\pi\)
\(192\) 0.945993 1.45090i 0.0682712 0.104709i
\(193\) −0.0446354 0.166582i −0.00321293 0.0119908i 0.964301 0.264809i \(-0.0853091\pi\)
−0.967514 + 0.252819i \(0.918642\pi\)
\(194\) 1.39422 + 2.41486i 0.100099 + 0.173377i
\(195\) 1.68717 + 14.8628i 0.120820 + 1.06434i
\(196\) 2.57912 6.50754i 0.184223 0.464825i
\(197\) 9.15712 9.15712i 0.652418 0.652418i −0.301157 0.953575i \(-0.597373\pi\)
0.953575 + 0.301157i \(0.0973727\pi\)
\(198\) 5.35776 + 12.1530i 0.380759 + 0.863674i
\(199\) 21.3942 + 12.3520i 1.51660 + 0.875608i 0.999810 + 0.0194938i \(0.00620546\pi\)
0.516787 + 0.856114i \(0.327128\pi\)
\(200\) 0.190785 + 0.712019i 0.0134905 + 0.0503473i
\(201\) −3.30915 1.08189i −0.233410 0.0763109i
\(202\) 6.35611 6.35611i 0.447214 0.447214i
\(203\) −20.2865 17.5169i −1.42383 1.22945i
\(204\) 2.70857 + 0.146910i 0.189638 + 0.0102858i
\(205\) 9.39322 5.42318i 0.656051 0.378771i
\(206\) 18.0625 4.83982i 1.25847 0.337206i
\(207\) −4.91957 + 6.71947i −0.341934 + 0.467036i
\(208\) −0.340509 + 3.58944i −0.0236101 + 0.248883i
\(209\) 27.8326i 1.92522i
\(210\) −10.6542 2.63952i −0.735212 0.182144i
\(211\) 19.4856 1.34144 0.670721 0.741710i \(-0.265985\pi\)
0.670721 + 0.741710i \(0.265985\pi\)
\(212\) −1.15282 1.99674i −0.0791758 0.137136i
\(213\) 5.56381 1.17201i 0.381226 0.0803048i
\(214\) 0.203885 0.0546309i 0.0139373 0.00373449i
\(215\) −2.73487 + 10.2067i −0.186517 + 0.696090i
\(216\) 4.22044 3.03115i 0.287165 0.206244i
\(217\) −4.24031 + 8.76762i −0.287851 + 0.595185i
\(218\) −14.1183 −0.956210
\(219\) −0.608627 + 1.86159i −0.0411272 + 0.125795i
\(220\) −9.18346 5.30207i −0.619149 0.357466i
\(221\) −5.13491 + 2.34887i −0.345411 + 0.158002i
\(222\) −2.52762 4.98320i −0.169643 0.334450i
\(223\) −19.4025 19.4025i −1.29929 1.29929i −0.928860 0.370431i \(-0.879210\pi\)
−0.370431 0.928860i \(-0.620790\pi\)
\(224\) −2.38182 1.15193i −0.159142 0.0769662i
\(225\) −0.239185 + 2.19844i −0.0159457 + 0.146562i
\(226\) −2.00356 + 7.47740i −0.133275 + 0.497389i
\(227\) 1.12921 + 4.21428i 0.0749485 + 0.279712i 0.993222 0.116236i \(-0.0370829\pi\)
−0.918273 + 0.395948i \(0.870416\pi\)
\(228\) 10.6551 2.24449i 0.705652 0.148645i
\(229\) −4.77855 1.28041i −0.315775 0.0846117i 0.0974504 0.995240i \(-0.468931\pi\)
−0.413226 + 0.910629i \(0.635598\pi\)
\(230\) 6.64906i 0.438426i
\(231\) 17.3745 10.4750i 1.14316 0.689204i
\(232\) −7.16331 + 7.16331i −0.470294 + 0.470294i
\(233\) −2.07390 3.59209i −0.135865 0.235326i 0.790062 0.613027i \(-0.210048\pi\)
−0.925928 + 0.377701i \(0.876715\pi\)
\(234\) −4.84804 + 9.66936i −0.316926 + 0.632106i
\(235\) −12.4944 + 21.6409i −0.815042 + 1.41169i
\(236\) −13.4331 3.59938i −0.874419 0.234300i
\(237\) −0.317211 + 5.84841i −0.0206051 + 0.379895i
\(238\) −0.302747 4.13242i −0.0196242 0.267865i
\(239\) 17.2034 17.2034i 1.11279 1.11279i 0.120023 0.992771i \(-0.461703\pi\)
0.992771 0.120023i \(-0.0382967\pi\)
\(240\) −1.28921 + 3.94327i −0.0832181 + 0.254537i
\(241\) −4.07282 15.2000i −0.262353 0.979115i −0.963851 0.266443i \(-0.914151\pi\)
0.701497 0.712672i \(-0.252515\pi\)
\(242\) 8.30697 2.22585i 0.533993 0.143083i
\(243\) 15.0935 3.89696i 0.968248 0.249990i
\(244\) 12.5785i 0.805254i
\(245\) −1.93287 + 16.6548i −0.123487 + 1.06404i
\(246\) 7.83175 + 0.424785i 0.499334 + 0.0270833i
\(247\) −17.4702 + 14.4428i −1.11160 + 0.918971i
\(248\) 3.18789 + 1.84053i 0.202431 + 0.116874i
\(249\) 7.22502 1.52194i 0.457867 0.0964492i
\(250\) 5.10527 + 8.84259i 0.322886 + 0.559255i
\(251\) −11.0233 −0.695786 −0.347893 0.937534i \(-0.613103\pi\)
−0.347893 + 0.937534i \(0.613103\pi\)
\(252\) −5.41125 5.80675i −0.340877 0.365791i
\(253\) 8.69013 + 8.69013i 0.546344 + 0.546344i
\(254\) 3.78584 14.1290i 0.237545 0.886530i
\(255\) −6.35768 + 1.33924i −0.398133 + 0.0838663i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 7.19360 + 12.4597i 0.448725 + 0.777214i 0.998303 0.0582280i \(-0.0185450\pi\)
−0.549579 + 0.835442i \(0.685212\pi\)
\(258\) −5.68774 + 5.10249i −0.354103 + 0.317667i
\(259\) −7.06011 + 4.79626i −0.438694 + 0.298025i
\(260\) −1.43740 8.51567i −0.0891436 0.528120i
\(261\) −27.8088 + 12.2598i −1.72132 + 0.758863i
\(262\) 14.7308 3.94711i 0.910072 0.243853i
\(263\) −17.6280 10.1775i −1.08699 0.627574i −0.154216 0.988037i \(-0.549285\pi\)
−0.932773 + 0.360464i \(0.882619\pi\)
\(264\) −3.46877 6.83869i −0.213488 0.420892i
\(265\) 3.90502 + 3.90502i 0.239883 + 0.239883i
\(266\) −5.46737 15.7089i −0.335226 0.963174i
\(267\) 5.36332 4.81145i 0.328230 0.294456i
\(268\) 1.94157 + 0.520241i 0.118600 + 0.0317788i
\(269\) −1.64185 0.947920i −0.100105 0.0577957i 0.449112 0.893476i \(-0.351741\pi\)
−0.549217 + 0.835680i \(0.685074\pi\)
\(270\) −7.88538 + 9.62930i −0.479889 + 0.586021i
\(271\) −8.87788 2.37882i −0.539293 0.144503i −0.0211167 0.999777i \(-0.506722\pi\)
−0.518176 + 0.855274i \(0.673389\pi\)
\(272\) −1.56609 −0.0949584
\(273\) 15.5909 + 5.47015i 0.943607 + 0.331068i
\(274\) −12.1738 −0.735449
\(275\) 3.15224 + 0.844641i 0.190087 + 0.0509338i
\(276\) 2.62604 4.02762i 0.158069 0.242435i
\(277\) −7.03014 4.05885i −0.422400 0.243873i 0.273704 0.961814i \(-0.411751\pi\)
−0.696104 + 0.717941i \(0.745085\pi\)
\(278\) −5.59023 1.49790i −0.335280 0.0898380i
\(279\) 6.91831 + 8.60748i 0.414188 + 0.515316i
\(280\) 6.22473 + 1.18855i 0.371999 + 0.0710293i
\(281\) −6.69009 6.69009i −0.399098 0.399098i 0.478817 0.877915i \(-0.341066\pi\)
−0.877915 + 0.478817i \(0.841066\pi\)
\(282\) −16.1154 + 8.17418i −0.959658 + 0.486765i
\(283\) −5.14240 2.96897i −0.305684 0.176487i 0.339309 0.940675i \(-0.389807\pi\)
−0.644994 + 0.764188i \(0.723140\pi\)
\(284\) −3.17090 + 0.849641i −0.188159 + 0.0504169i
\(285\) −23.2604 + 11.7983i −1.37783 + 0.698873i
\(286\) 13.0084 + 9.25109i 0.769201 + 0.547029i
\(287\) −0.875384 11.9488i −0.0516723 0.705313i
\(288\) −2.33832 + 1.87943i −0.137787 + 0.110747i
\(289\) 7.27367 + 12.5984i 0.427863 + 0.741081i
\(290\) 12.1324 21.0139i 0.712439 1.23398i
\(291\) −0.995529 4.72601i −0.0583590 0.277044i
\(292\) 0.292666 1.09224i 0.0171270 0.0639187i
\(293\) −9.37657 9.37657i −0.547785 0.547785i 0.378015 0.925800i \(-0.376607\pi\)
−0.925800 + 0.378015i \(0.876607\pi\)
\(294\) −7.74863 + 9.32517i −0.451909 + 0.543855i
\(295\) 33.3104 1.93941
\(296\) 1.61300 + 2.79379i 0.0937536 + 0.162386i
\(297\) −2.27926 22.8912i −0.132256 1.32828i
\(298\) 11.1294 + 6.42558i 0.644711 + 0.372224i
\(299\) −0.945240 + 9.96413i −0.0546646 + 0.576240i
\(300\) 0.0691482 1.27488i 0.00399227 0.0736054i
\(301\) 8.83427 + 7.62820i 0.509199 + 0.439682i
\(302\) 12.8203i 0.737724i
\(303\) −13.8852 + 7.04294i −0.797682 + 0.404606i
\(304\) −6.07252 + 1.62713i −0.348283 + 0.0933222i
\(305\) −7.79779 29.1017i −0.446500 1.66636i
\(306\) −4.38005 1.69972i −0.250391 0.0971665i
\(307\) 5.32762 5.32762i 0.304064 0.304064i −0.538538 0.842601i \(-0.681023\pi\)
0.842601 + 0.538538i \(0.181023\pi\)
\(308\) −9.68894 + 6.58214i −0.552078 + 0.375052i
\(309\) −32.3412 1.75415i −1.83983 0.0997900i
\(310\) −8.51656 2.28201i −0.483708 0.129609i
\(311\) 17.2052 29.8002i 0.975616 1.68982i 0.297730 0.954650i \(-0.403770\pi\)
0.677886 0.735167i \(-0.262896\pi\)
\(312\) 2.49256 5.72601i 0.141113 0.324171i
\(313\) −0.915865 1.58632i −0.0517677 0.0896644i 0.838980 0.544162i \(-0.183152\pi\)
−0.890748 + 0.454497i \(0.849819\pi\)
\(314\) 13.8796 13.8796i 0.783273 0.783273i
\(315\) 16.1194 + 10.0800i 0.908223 + 0.567942i
\(316\) 3.38154i 0.190227i
\(317\) −6.01057 1.61053i −0.337587 0.0904562i 0.0860431 0.996291i \(-0.472578\pi\)
−0.423630 + 0.905835i \(0.639244\pi\)
\(318\) 0.823156 + 3.90772i 0.0461603 + 0.219134i
\(319\) 11.6079 + 43.3212i 0.649917 + 2.42552i
\(320\) 0.619932 2.31362i 0.0346552 0.129335i
\(321\) −0.365060 0.0198005i −0.0203757 0.00110515i
\(322\) −6.61183 3.19770i −0.368463 0.178201i
\(323\) −6.96191 6.96191i −0.387371 0.387371i
\(324\) −8.57959 + 2.71857i −0.476644 + 0.151031i
\(325\) 1.10558 + 2.41692i 0.0613264 + 0.134067i
\(326\) −3.01702 1.74188i −0.167097 0.0964736i
\(327\) 23.2429 + 7.59902i 1.28533 + 0.420227i
\(328\) −4.52831 −0.250034
\(329\) 15.5109 + 22.8320i 0.855141 + 1.25877i
\(330\) 12.2649 + 13.6717i 0.675162 + 0.752602i
\(331\) −2.91891 + 10.8935i −0.160438 + 0.598762i 0.838140 + 0.545455i \(0.183643\pi\)
−0.998578 + 0.0533075i \(0.983024\pi\)
\(332\) −4.11766 + 1.10332i −0.225986 + 0.0605527i
\(333\) 1.47905 + 9.56430i 0.0810517 + 0.524120i
\(334\) 6.01283 + 10.4145i 0.329008 + 0.569858i
\(335\) −4.81455 −0.263047
\(336\) 3.30117 + 3.17840i 0.180094 + 0.173396i
\(337\) 32.9198i 1.79325i −0.442786 0.896627i \(-0.646010\pi\)
0.442786 0.896627i \(-0.353990\pi\)
\(338\) 0.943450 + 12.9657i 0.0513169 + 0.705242i
\(339\) 7.32310 11.2316i 0.397736 0.610019i
\(340\) 3.62334 0.970871i 0.196503 0.0526529i
\(341\) 14.1134 8.14837i 0.764283 0.441259i
\(342\) −18.7496 2.03991i −1.01386 0.110306i
\(343\) 15.6320 + 9.93176i 0.844050 + 0.536265i
\(344\) 3.11945 3.11945i 0.168190 0.168190i
\(345\) −3.57879 + 10.9463i −0.192676 + 0.589331i
\(346\) 2.18805 + 8.16590i 0.117630 + 0.439001i
\(347\) 8.98451 + 5.18721i 0.482314 + 0.278464i 0.721380 0.692539i \(-0.243508\pi\)
−0.239066 + 0.971003i \(0.576841\pi\)
\(348\) 15.6485 7.93737i 0.838849 0.425488i
\(349\) −18.4597 + 18.4597i −0.988127 + 0.988127i −0.999930 0.0118036i \(-0.996243\pi\)
0.0118036 + 0.999930i \(0.496243\pi\)
\(350\) −1.94507 + 0.142498i −0.103968 + 0.00761686i
\(351\) 13.1858 13.3092i 0.703803 0.710395i
\(352\) 2.21360 + 3.83406i 0.117985 + 0.204356i
\(353\) 5.31054 + 19.8192i 0.282651 + 1.05487i 0.950539 + 0.310607i \(0.100532\pi\)
−0.667887 + 0.744263i \(0.732801\pi\)
\(354\) 20.1775 + 13.1559i 1.07242 + 0.699227i
\(355\) 6.80954 3.93149i 0.361413 0.208662i
\(356\) −2.94152 + 2.94152i −0.155900 + 0.155900i
\(357\) −1.72582 + 6.96615i −0.0913402 + 0.368688i
\(358\) −6.40822 + 6.40822i −0.338685 + 0.338685i
\(359\) −3.61348 + 13.4857i −0.190712 + 0.711748i 0.802623 + 0.596487i \(0.203437\pi\)
−0.993335 + 0.115261i \(0.963230\pi\)
\(360\) 4.24485 5.79789i 0.223723 0.305576i
\(361\) −17.7735 10.2615i −0.935448 0.540081i
\(362\) −4.46226 + 16.6534i −0.234531 + 0.875282i
\(363\) −14.8738 0.806737i −0.780672 0.0423427i
\(364\) −9.15927 2.66604i −0.480076 0.139739i
\(365\) 2.70846i 0.141767i
\(366\) 6.77023 20.7079i 0.353886 1.08242i
\(367\) −6.69566 + 11.5972i −0.349511 + 0.605370i −0.986163 0.165781i \(-0.946985\pi\)
0.636652 + 0.771151i \(0.280319\pi\)
\(368\) −1.38798 + 2.40405i −0.0723534 + 0.125320i
\(369\) −12.6648 4.91468i −0.659301 0.255848i
\(370\) −5.46382 5.46382i −0.284050 0.284050i
\(371\) 5.76117 2.00513i 0.299105 0.104101i
\(372\) −4.25757 4.74591i −0.220745 0.246064i
\(373\) 12.2520 + 21.2210i 0.634383 + 1.09878i 0.986646 + 0.162882i \(0.0520791\pi\)
−0.352263 + 0.935901i \(0.614588\pi\)
\(374\) −3.46670 + 6.00450i −0.179259 + 0.310485i
\(375\) −3.64537 17.3054i −0.188246 0.893647i
\(376\) 9.03498 5.21635i 0.465943 0.269013i
\(377\) −21.1687 + 29.7662i −1.09024 + 1.53304i
\(378\) 5.78312 + 12.4722i 0.297451 + 0.641500i
\(379\) −24.3733 24.3733i −1.25197 1.25197i −0.954834 0.297140i \(-0.903967\pi\)
−0.297140 0.954834i \(-0.596033\pi\)
\(380\) 13.0408 7.52910i 0.668978 0.386235i
\(381\) −13.8374 + 21.2228i −0.708911 + 1.08728i
\(382\) 9.61318 2.57584i 0.491853 0.131792i
\(383\) 12.3940 + 3.32095i 0.633302 + 0.169693i 0.561168 0.827702i \(-0.310352\pi\)
0.0721342 + 0.997395i \(0.477019\pi\)
\(384\) 1.28928 1.15662i 0.0657932 0.0590233i
\(385\) 18.3360 21.2350i 0.934489 1.08224i
\(386\) 0.172458i 0.00877789i
\(387\) 12.1101 5.33885i 0.615590 0.271389i
\(388\) 0.721702 + 2.69343i 0.0366389 + 0.136738i
\(389\) 11.6305 20.1446i 0.589690 1.02137i −0.404583 0.914501i \(-0.632583\pi\)
0.994273 0.106872i \(-0.0340835\pi\)
\(390\) −2.21709 + 14.7930i −0.112267 + 0.749073i
\(391\) −4.34741 −0.219858
\(392\) 4.17552 5.61828i 0.210896 0.283766i
\(393\) −26.3758 1.43059i −1.33048 0.0721638i
\(394\) 11.2151 6.47506i 0.565010 0.326209i
\(395\) 2.09633 + 7.82360i 0.105478 + 0.393648i
\(396\) 2.02978 + 13.1256i 0.102000 + 0.659584i
\(397\) −11.9336 3.19761i −0.598932 0.160483i −0.0533998 0.998573i \(-0.517006\pi\)
−0.545532 + 0.838090i \(0.683672\pi\)
\(398\) 17.4683 + 17.4683i 0.875608 + 0.875608i
\(399\) 0.545766 + 28.8043i 0.0273225 + 1.44202i
\(400\) 0.737136i 0.0368568i
\(401\) 8.62573 32.1917i 0.430749 1.60758i −0.320292 0.947319i \(-0.603781\pi\)
0.751040 0.660256i \(-0.229552\pi\)
\(402\) −2.91638 1.90150i −0.145456 0.0948382i
\(403\) 12.4383 + 4.63048i 0.619596 + 0.230661i
\(404\) 7.78461 4.49445i 0.387299 0.223607i
\(405\) 18.1646 11.6085i 0.902604 0.576830i
\(406\) −15.0615 22.1706i −0.747489 1.10031i
\(407\) 14.2821 0.707937
\(408\) 2.57826 + 0.842935i 0.127643 + 0.0417315i
\(409\) 27.7673 7.44021i 1.37300 0.367895i 0.504428 0.863454i \(-0.331703\pi\)
0.868574 + 0.495559i \(0.165037\pi\)
\(410\) 10.4768 2.80724i 0.517411 0.138640i
\(411\) 20.0418 + 6.55245i 0.988588 + 0.323209i
\(412\) 18.6996 0.921265
\(413\) 16.0198 33.1239i 0.788281 1.62992i
\(414\) −6.49107 + 5.21723i −0.319019 + 0.256413i
\(415\) 8.84269 5.10533i 0.434071 0.250611i
\(416\) −1.25792 + 3.37900i −0.0616747 + 0.165669i
\(417\) 8.39696 + 5.47487i 0.411201 + 0.268106i
\(418\) −7.20360 + 26.8842i −0.352340 + 1.31495i
\(419\) 4.41529i 0.215701i 0.994167 + 0.107850i \(0.0343968\pi\)
−0.994167 + 0.107850i \(0.965603\pi\)
\(420\) −9.60804 5.30710i −0.468825 0.258960i
\(421\) 9.77773 + 9.77773i 0.476537 + 0.476537i 0.904022 0.427485i \(-0.140600\pi\)
−0.427485 + 0.904022i \(0.640600\pi\)
\(422\) 18.8216 + 5.04324i 0.916222 + 0.245501i
\(423\) 30.9304 4.78318i 1.50389 0.232566i
\(424\) −0.596742 2.22707i −0.0289803 0.108156i
\(425\) −0.999761 + 0.577212i −0.0484955 + 0.0279989i
\(426\) 5.67756 + 0.307944i 0.275079 + 0.0149200i
\(427\) −32.6889 6.24161i −1.58193 0.302053i
\(428\) 0.211078 0.0102028
\(429\) −16.4363 22.2317i −0.793554 1.07336i
\(430\) −5.28337 + 9.15106i −0.254787 + 0.441303i
\(431\) 4.37529 + 16.3288i 0.210750 + 0.786531i 0.987619 + 0.156869i \(0.0501399\pi\)
−0.776869 + 0.629662i \(0.783193\pi\)
\(432\) 4.86115 1.83553i 0.233882 0.0883122i
\(433\) 20.3606i 0.978466i −0.872153 0.489233i \(-0.837277\pi\)
0.872153 0.489233i \(-0.162723\pi\)
\(434\) −6.36505 + 7.37140i −0.305532 + 0.353839i
\(435\) −31.2841 + 28.0650i −1.49996 + 1.34562i
\(436\) −13.6372 3.65408i −0.653104 0.174999i
\(437\) −16.8571 + 4.51684i −0.806383 + 0.216070i
\(438\) −1.06970 + 1.64063i −0.0511124 + 0.0783925i
\(439\) 0.198379 0.114534i 0.00946813 0.00546643i −0.495258 0.868746i \(-0.664927\pi\)
0.504727 + 0.863279i \(0.331593\pi\)
\(440\) −7.49826 7.49826i −0.357466 0.357466i
\(441\) 17.7757 11.1814i 0.846463 0.532447i
\(442\) −5.56787 + 0.939825i −0.264837 + 0.0447029i
\(443\) −12.9015 + 7.44866i −0.612967 + 0.353897i −0.774126 0.633032i \(-0.781810\pi\)
0.161159 + 0.986928i \(0.448477\pi\)
\(444\) −1.15174 5.46760i −0.0546593 0.259481i
\(445\) 4.98201 8.62909i 0.236170 0.409058i
\(446\) −13.7197 23.7632i −0.649645 1.12522i
\(447\) −14.8639 16.5687i −0.703036 0.783674i
\(448\) −2.00252 1.72913i −0.0946103 0.0816939i
\(449\) −0.539231 0.539231i −0.0254479 0.0254479i 0.694268 0.719716i \(-0.255728\pi\)
−0.719716 + 0.694268i \(0.755728\pi\)
\(450\) −0.800032 + 2.06162i −0.0377139 + 0.0971857i
\(451\) −10.0238 + 17.3618i −0.472004 + 0.817536i
\(452\) −3.87059 + 6.70405i −0.182057 + 0.315332i
\(453\) −6.90039 + 21.1060i −0.324208 + 0.991647i
\(454\) 4.36294i 0.204763i
\(455\) 22.8438 + 0.490083i 1.07093 + 0.0229754i
\(456\) 10.8730 + 0.589737i 0.509173 + 0.0276170i
\(457\) 4.58034 17.0941i 0.214259 0.799627i −0.772166 0.635420i \(-0.780827\pi\)
0.986426 0.164207i \(-0.0525065\pi\)
\(458\) −4.28433 2.47356i −0.200193 0.115582i
\(459\) 6.29601 + 5.15576i 0.293872 + 0.240650i
\(460\) 1.72090 6.42250i 0.0802376 0.299451i
\(461\) −0.0481167 + 0.0481167i −0.00224102 + 0.00224102i −0.708226 0.705985i \(-0.750504\pi\)
0.705985 + 0.708226i \(0.250504\pi\)
\(462\) 19.4936 5.62120i 0.906927 0.261522i
\(463\) −26.7322 + 26.7322i −1.24235 + 1.24235i −0.283324 + 0.959024i \(0.591437\pi\)
−0.959024 + 0.283324i \(0.908563\pi\)
\(464\) −8.77323 + 5.06523i −0.407287 + 0.235147i
\(465\) 12.7925 + 8.34081i 0.593239 + 0.386796i
\(466\) −1.07353 4.00646i −0.0497302 0.185596i
\(467\) −5.35002 9.26651i −0.247570 0.428803i 0.715281 0.698837i \(-0.246299\pi\)
−0.962851 + 0.270033i \(0.912965\pi\)
\(468\) −7.18546 + 8.08512i −0.332148 + 0.373735i
\(469\) −2.31544 + 4.78760i −0.106917 + 0.221071i
\(470\) −17.6697 + 17.6697i −0.815042 + 0.815042i
\(471\) −30.3206 + 15.3794i −1.39710 + 0.708647i
\(472\) −12.0438 6.95348i −0.554360 0.320060i
\(473\) −5.05496 18.8654i −0.232427 0.867430i
\(474\) −1.82008 + 5.56703i −0.0835991 + 0.255702i
\(475\) −3.27686 + 3.27686i −0.150353 + 0.150353i
\(476\) 0.777118 4.06997i 0.0356191 0.186547i
\(477\) 0.748128 6.87632i 0.0342544 0.314845i
\(478\) 21.0697 12.1646i 0.963708 0.556397i
\(479\) 13.0420 3.49459i 0.595904 0.159672i 0.0517541 0.998660i \(-0.483519\pi\)
0.544150 + 0.838988i \(0.316852\pi\)
\(480\) −2.26587 + 3.47523i −0.103422 + 0.158622i
\(481\) 7.41120 + 8.96469i 0.337922 + 0.408755i
\(482\) 15.7362i 0.716762i
\(483\) 9.16392 + 8.82312i 0.416973 + 0.401466i
\(484\) 8.60001 0.390910
\(485\) −3.33949 5.78416i −0.151638 0.262645i
\(486\) 15.5878 + 0.142310i 0.707077 + 0.00645533i
\(487\) −10.7180 + 2.87187i −0.485677 + 0.130137i −0.493345 0.869834i \(-0.664226\pi\)
0.00766762 + 0.999971i \(0.497559\pi\)
\(488\) −3.25555 + 12.1499i −0.147372 + 0.549998i
\(489\) 4.02936 + 4.49153i 0.182214 + 0.203114i
\(490\) −6.17760 + 15.5871i −0.279075 + 0.704152i
\(491\) 11.1964 0.505288 0.252644 0.967559i \(-0.418700\pi\)
0.252644 + 0.967559i \(0.418700\pi\)
\(492\) 7.45495 + 2.43732i 0.336095 + 0.109883i
\(493\) −13.7397 7.93262i −0.618805 0.357267i
\(494\) −20.6129 + 9.42903i −0.927420 + 0.424232i
\(495\) −12.8331 29.1092i −0.576804 1.30836i
\(496\) 2.60290 + 2.60290i 0.116874 + 0.116874i
\(497\) −0.634602 8.66215i −0.0284658 0.388551i
\(498\) 7.37274 + 0.399889i 0.330380 + 0.0179195i
\(499\) 3.09629 11.5555i 0.138609 0.517296i −0.861348 0.508015i \(-0.830379\pi\)
0.999957 0.00928036i \(-0.00295407\pi\)
\(500\) 2.64268 + 9.86263i 0.118184 + 0.441070i
\(501\) −4.29340 20.3818i −0.191815 0.910590i
\(502\) −10.6477 2.85305i −0.475231 0.127338i
\(503\) 35.7511i 1.59406i −0.603938 0.797031i \(-0.706403\pi\)
0.603938 0.797031i \(-0.293597\pi\)
\(504\) −3.72397 7.00942i −0.165879 0.312225i
\(505\) −15.2244 + 15.2244i −0.677475 + 0.677475i
\(506\) 6.14485 + 10.6432i 0.273172 + 0.473147i
\(507\) 5.42547 21.8532i 0.240954 0.970537i
\(508\) 7.31369 12.6677i 0.324492 0.562037i
\(509\) −6.70678 1.79708i −0.297273 0.0796540i 0.107100 0.994248i \(-0.465844\pi\)
−0.404373 + 0.914594i \(0.632510\pi\)
\(510\) −6.48766 0.351883i −0.287279 0.0155817i
\(511\) 2.69330 + 1.30257i 0.119145 + 0.0576221i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) 29.7694 + 13.4501i 1.31435 + 0.593835i
\(514\) 3.72368 + 13.8970i 0.164245 + 0.612969i
\(515\) −43.2638 + 11.5925i −1.90643 + 0.510827i
\(516\) −6.81456 + 3.45653i −0.299994 + 0.152165i
\(517\) 46.1875i 2.03133i
\(518\) −8.06091 + 2.80554i −0.354176 + 0.123268i
\(519\) 0.793037 14.6212i 0.0348104 0.641799i
\(520\) 0.815599 8.59753i 0.0357664 0.377027i
\(521\) 2.47233 + 1.42740i 0.108315 + 0.0625355i 0.553179 0.833063i \(-0.313415\pi\)
−0.444864 + 0.895598i \(0.646748\pi\)
\(522\) −30.0344 + 4.64461i −1.31457 + 0.203289i
\(523\) −7.41356 12.8407i −0.324172 0.561483i 0.657172 0.753741i \(-0.271752\pi\)
−0.981345 + 0.192258i \(0.938419\pi\)
\(524\) 15.2504 0.666219
\(525\) 3.27886 + 0.812317i 0.143101 + 0.0354524i
\(526\) −14.3932 14.3932i −0.627574 0.627574i
\(527\) −1.49206 + 5.56845i −0.0649953 + 0.242566i
\(528\) −1.58059 7.50345i −0.0687865 0.326546i
\(529\) 7.64703 13.2450i 0.332479 0.575871i
\(530\) 2.76126 + 4.78265i 0.119942 + 0.207745i
\(531\) −26.1372 32.5189i −1.13426 1.41120i
\(532\) −1.21531 16.5887i −0.0526905 0.719211i
\(533\) −16.0993 + 2.71747i −0.697339 + 0.117707i
\(534\) 6.42586 3.25937i 0.278074 0.141047i
\(535\) −0.488353 + 0.130854i −0.0211133 + 0.00565730i
\(536\) 1.74076 + 1.00503i 0.0751894 + 0.0434106i
\(537\) 13.9990 7.10068i 0.604102 0.306417i
\(538\) −1.34056 1.34056i −0.0577957 0.0577957i
\(539\) −12.2979 28.4458i −0.529708 1.22525i
\(540\) −10.1089 + 7.26031i −0.435019 + 0.312434i
\(541\) −27.8277 7.45641i −1.19641 0.320576i −0.394991 0.918685i \(-0.629252\pi\)
−0.801415 + 0.598109i \(0.795919\pi\)
\(542\) −7.95969 4.59553i −0.341898 0.197395i
\(543\) 16.3097 25.0147i 0.699917 1.07348i
\(544\) −1.51273 0.405335i −0.0648578 0.0173786i
\(545\) 33.8165 1.44854
\(546\) 13.6439 + 9.31899i 0.583906 + 0.398816i
\(547\) 8.76219 0.374644 0.187322 0.982299i \(-0.440019\pi\)
0.187322 + 0.982299i \(0.440019\pi\)
\(548\) −11.7590 3.15082i −0.502321 0.134597i
\(549\) −22.2916 + 30.4474i −0.951384 + 1.29946i
\(550\) 2.82622 + 1.63172i 0.120511 + 0.0695768i
\(551\) −61.5174 16.4835i −2.62073 0.702222i
\(552\) 3.57898 3.21072i 0.152332 0.136657i
\(553\) 8.78796 + 1.67797i 0.373702 + 0.0713545i
\(554\) −5.74009 5.74009i −0.243873 0.243873i
\(555\) 6.05423 + 11.9359i 0.256988 + 0.506652i
\(556\) −5.01206 2.89372i −0.212559 0.122721i
\(557\) −10.2967 + 2.75899i −0.436284 + 0.116902i −0.470275 0.882520i \(-0.655845\pi\)
0.0339903 + 0.999422i \(0.489178\pi\)
\(558\) 4.45479 + 10.1048i 0.188587 + 0.427769i
\(559\) 9.21845 12.9625i 0.389899 0.548254i
\(560\) 5.70501 + 2.75913i 0.241081 + 0.116594i
\(561\) 8.93908 8.01928i 0.377408 0.338574i
\(562\) −4.73061 8.19366i −0.199549 0.345629i
\(563\) 5.59106 9.68401i 0.235635 0.408132i −0.723822 0.689987i \(-0.757616\pi\)
0.959457 + 0.281855i \(0.0909496\pi\)
\(564\) −17.6819 + 3.72468i −0.744543 + 0.156837i
\(565\) 4.79900 17.9101i 0.201895 0.753484i
\(566\) −4.19875 4.19875i −0.176487 0.176487i
\(567\) −2.80770 23.6457i −0.117912 0.993024i
\(568\) −3.28276 −0.137742
\(569\) −15.1821 26.2962i −0.636467 1.10239i −0.986202 0.165544i \(-0.947062\pi\)
0.349736 0.936848i \(-0.386271\pi\)
\(570\) −25.5215 + 5.37607i −1.06898 + 0.225179i
\(571\) 33.2794 + 19.2139i 1.39270 + 0.804076i 0.993613 0.112838i \(-0.0359940\pi\)
0.399086 + 0.916913i \(0.369327\pi\)
\(572\) 10.1708 + 12.3027i 0.425261 + 0.514401i
\(573\) −17.2126 0.933591i −0.719066 0.0390013i
\(574\) 2.24701 11.7682i 0.0937884 0.491194i
\(575\) 2.04626i 0.0853349i
\(576\) −2.74507 + 1.21019i −0.114378 + 0.0504247i
\(577\) −15.5293 + 4.16107i −0.646495 + 0.173228i −0.567144 0.823619i \(-0.691952\pi\)
−0.0793513 + 0.996847i \(0.525285\pi\)
\(578\) 3.76513 + 14.0517i 0.156609 + 0.584472i
\(579\) −0.0928238 + 0.283917i −0.00385763 + 0.0117992i
\(580\) 17.1578 17.1578i 0.712439 0.712439i
\(581\) −0.824079 11.2485i −0.0341886 0.466665i
\(582\) 0.261574 4.82264i 0.0108426 0.199905i
\(583\) −9.85966 2.64189i −0.408346 0.109416i
\(584\) 0.565387 0.979278i 0.0233959 0.0405228i
\(585\) 11.6122 23.1604i 0.480104 0.957563i
\(586\) −6.63024 11.4839i −0.273893 0.474396i
\(587\) −25.3372 + 25.3372i −1.04578 + 1.04578i −0.0468791 + 0.998901i \(0.514928\pi\)
−0.998901 + 0.0468791i \(0.985072\pi\)
\(588\) −9.89813 + 7.00193i −0.408192 + 0.288755i
\(589\) 23.1419i 0.953544i
\(590\) 32.1754 + 8.62136i 1.32464 + 0.354936i
\(591\) −21.9486 + 4.62345i −0.902845 + 0.190183i
\(592\) 0.834949 + 3.11607i 0.0343162 + 0.128070i
\(593\) −2.46209 + 9.18866i −0.101106 + 0.377333i −0.997874 0.0651675i \(-0.979242\pi\)
0.896768 + 0.442500i \(0.145908\pi\)
\(594\) 3.72308 22.7011i 0.152760 0.931437i
\(595\) 0.725150 + 9.89811i 0.0297283 + 0.405783i
\(596\) 9.08714 + 9.08714i 0.372224 + 0.372224i
\(597\) −19.3559 38.1602i −0.792185 1.56179i
\(598\) −3.49194 + 9.37996i −0.142796 + 0.383575i
\(599\) 9.76036 + 5.63515i 0.398798 + 0.230246i 0.685965 0.727634i \(-0.259380\pi\)
−0.287167 + 0.957880i \(0.592714\pi\)
\(600\) 0.396756 1.21355i 0.0161975 0.0495428i
\(601\) 4.45981 0.181919 0.0909596 0.995855i \(-0.471007\pi\)
0.0909596 + 0.995855i \(0.471007\pi\)
\(602\) 6.55892 + 9.65475i 0.267322 + 0.393498i
\(603\) 3.77777 + 4.70015i 0.153843 + 0.191405i
\(604\) 3.31813 12.3834i 0.135013 0.503875i
\(605\) −19.8971 + 5.33142i −0.808933 + 0.216753i
\(606\) −15.2349 + 3.20921i −0.618875 + 0.130365i
\(607\) 11.5858 + 20.0672i 0.470253 + 0.814502i 0.999421 0.0340152i \(-0.0108295\pi\)
−0.529169 + 0.848517i \(0.677496\pi\)
\(608\) −6.28674 −0.254961
\(609\) 12.8626 + 44.6061i 0.521220 + 1.80753i
\(610\) 30.1283i 1.21986i
\(611\) 28.9913 23.9674i 1.17286 0.969618i
\(612\) −3.79088 2.77544i −0.153237 0.112191i
\(613\) 30.5664 8.19024i 1.23457 0.330801i 0.418210 0.908350i \(-0.362658\pi\)
0.816356 + 0.577550i \(0.195991\pi\)
\(614\) 6.52498 3.76720i 0.263327 0.152032i
\(615\) −18.7589 1.01746i −0.756430 0.0410279i
\(616\) −11.0624 + 3.85018i −0.445716 + 0.155128i
\(617\) 10.1965 10.1965i 0.410496 0.410496i −0.471415 0.881911i \(-0.656257\pi\)
0.881911 + 0.471415i \(0.156257\pi\)
\(618\) −30.7852 10.0649i −1.23836 0.404869i
\(619\) 5.74324 + 21.4340i 0.230840 + 0.861507i 0.979980 + 0.199095i \(0.0638004\pi\)
−0.749140 + 0.662412i \(0.769533\pi\)
\(620\) −7.63574 4.40850i −0.306659 0.177049i
\(621\) 13.4944 5.09537i 0.541510 0.204470i
\(622\) 24.3318 24.3318i 0.975616 0.975616i
\(623\) −6.18480 9.10405i −0.247789 0.364746i
\(624\) 3.88963 4.88578i 0.155710 0.195588i
\(625\) −14.0712 24.3720i −0.562846 0.974878i
\(626\) −0.474087 1.76932i −0.0189483 0.0707161i
\(627\) 26.3294 40.3822i 1.05150 1.61271i
\(628\) 16.9990 9.81438i 0.678334 0.391636i
\(629\) −3.57245 + 3.57245i −0.142443 + 0.142443i
\(630\) 12.9612 + 13.9085i 0.516387 + 0.554128i
\(631\) 1.47612 1.47612i 0.0587634 0.0587634i −0.677114 0.735878i \(-0.736770\pi\)
0.735878 + 0.677114i \(0.236770\pi\)
\(632\) 0.875208 3.26632i 0.0348139 0.129927i
\(633\) −28.2715 18.4332i −1.12369 0.732655i
\(634\) −5.38893 3.11130i −0.214022 0.123565i
\(635\) −9.06797 + 33.8421i −0.359851 + 1.34298i
\(636\) −0.216283 + 3.98761i −0.00857620 + 0.158119i
\(637\) 11.4735 22.4802i 0.454596 0.890698i
\(638\) 44.8494i 1.77561i
\(639\) −9.18121 3.56286i −0.363203 0.140945i
\(640\) 1.19762 2.07433i 0.0473399 0.0819952i
\(641\) 16.3674 28.3492i 0.646473 1.11972i −0.337486 0.941331i \(-0.609576\pi\)
0.983959 0.178394i \(-0.0570902\pi\)
\(642\) −0.347497 0.113610i −0.0137146 0.00448384i
\(643\) 16.7721 + 16.7721i 0.661425 + 0.661425i 0.955716 0.294291i \(-0.0950833\pi\)
−0.294291 + 0.955716i \(0.595083\pi\)
\(644\) −5.55892 4.80001i −0.219052 0.189147i
\(645\) 13.6235 12.2217i 0.536423 0.481227i
\(646\) −4.92281 8.52656i −0.193685 0.335473i
\(647\) 9.50981 16.4715i 0.373869 0.647561i −0.616288 0.787521i \(-0.711364\pi\)
0.990157 + 0.139960i \(0.0446975\pi\)
\(648\) −8.99087 + 0.405370i −0.353195 + 0.0159245i
\(649\) −53.3201 + 30.7844i −2.09300 + 1.20839i
\(650\) 0.442361 + 2.62071i 0.0173508 + 0.102793i
\(651\) 14.4463 8.70960i 0.566197 0.341356i
\(652\) −2.46338 2.46338i −0.0964736 0.0964736i
\(653\) 24.8991 14.3755i 0.974376 0.562556i 0.0738086 0.997272i \(-0.476485\pi\)
0.900568 + 0.434716i \(0.143151\pi\)
\(654\) 20.4841 + 13.3558i 0.800993 + 0.522253i
\(655\) −35.2837 + 9.45424i −1.37865 + 0.369408i
\(656\) −4.37401 1.17201i −0.170776 0.0457594i
\(657\) 2.64411 2.12521i 0.103156 0.0829125i
\(658\) 9.07297 + 26.0685i 0.353701 + 1.01626i
\(659\) 17.8592i 0.695697i 0.937551 + 0.347849i \(0.113088\pi\)
−0.937551 + 0.347849i \(0.886912\pi\)
\(660\) 8.30851 + 16.3802i 0.323408 + 0.637600i
\(661\) 10.3914 + 38.7812i 0.404178 + 1.50841i 0.805567 + 0.592505i \(0.201861\pi\)
−0.401389 + 0.915908i \(0.631472\pi\)
\(662\) −5.63890 + 9.76687i −0.219162 + 0.379600i
\(663\) 9.67223 + 1.44962i 0.375638 + 0.0562985i
\(664\) −4.26291 −0.165433
\(665\) 13.0956 + 37.6264i 0.507826 + 1.45909i
\(666\) −1.04677 + 9.62121i −0.0405614 + 0.372814i
\(667\) −24.3541 + 14.0609i −0.942995 + 0.544439i
\(668\) 3.11247 + 11.6159i 0.120425 + 0.449433i
\(669\) 9.79639 + 46.5057i 0.378750 + 1.79802i
\(670\) −4.65050 1.24610i −0.179665 0.0481410i
\(671\) 39.3768 + 39.3768i 1.52013 + 1.52013i
\(672\) 2.36606 + 3.92451i 0.0912727 + 0.151391i
\(673\) 40.4652i 1.55982i 0.625891 + 0.779910i \(0.284735\pi\)
−0.625891 + 0.779910i \(0.715265\pi\)
\(674\) 8.52027 31.7981i 0.328188 1.22482i
\(675\) 2.42674 2.96343i 0.0934052 0.114063i
\(676\) −2.44447 + 12.7681i −0.0940182 + 0.491081i
\(677\) 27.5012 15.8778i 1.05696 0.610234i 0.132368 0.991201i \(-0.457742\pi\)
0.924589 + 0.380966i \(0.124409\pi\)
\(678\) 9.98053 8.95357i 0.383300 0.343860i
\(679\) −7.35781 + 0.539044i −0.282367 + 0.0206866i
\(680\) 3.75116 0.143850
\(681\) 2.34831 7.18271i 0.0899874 0.275242i
\(682\) 15.7415 4.21791i 0.602771 0.161512i
\(683\) −25.8136 + 6.91674i −0.987730 + 0.264662i −0.716297 0.697796i \(-0.754164\pi\)
−0.271433 + 0.962457i \(0.587498\pi\)
\(684\) −17.5827 6.82315i −0.672292 0.260890i
\(685\) 29.1592 1.11412
\(686\) 12.5288 + 13.6392i 0.478353 + 0.520748i
\(687\) 5.72191 + 6.37821i 0.218305 + 0.243344i
\(688\) 3.82053 2.20579i 0.145656 0.0840948i
\(689\) −3.45805 7.55970i −0.131741 0.288002i
\(690\) −6.28997 + 9.64710i −0.239455 + 0.367259i
\(691\) 5.75591 21.4813i 0.218965 0.817189i −0.765768 0.643117i \(-0.777641\pi\)
0.984733 0.174072i \(-0.0556925\pi\)
\(692\) 8.45396i 0.321371i
\(693\) −35.1179 1.23809i −1.33402 0.0470312i
\(694\) 7.33582 + 7.33582i 0.278464 + 0.278464i
\(695\) 13.3899 + 3.58781i 0.507908 + 0.136094i
\(696\) 17.1697 3.61677i 0.650814 0.137093i
\(697\) −1.83548 6.85012i −0.0695239 0.259467i
\(698\) −22.6085 + 13.0530i −0.855743 + 0.494063i
\(699\) −0.389090 + 7.17364i −0.0147167 + 0.271332i
\(700\) −1.91567 0.365777i −0.0724056 0.0138251i
\(701\) 27.4373 1.03629 0.518145 0.855293i \(-0.326623\pi\)
0.518145 + 0.855293i \(0.326623\pi\)
\(702\) 16.1811 9.44302i 0.610718 0.356404i
\(703\) −10.1405 + 17.5638i −0.382456 + 0.662433i
\(704\) 1.14584 + 4.27634i 0.0431855 + 0.161171i
\(705\) 38.6001 19.5791i 1.45376 0.737390i
\(706\) 20.5183i 0.772218i
\(707\) 7.81735 + 22.4609i 0.294002 + 0.844728i
\(708\) 16.0850 + 17.9299i 0.604511 + 0.673848i
\(709\) 30.0036 + 8.03944i 1.12681 + 0.301927i 0.773636 0.633631i \(-0.218436\pi\)
0.353173 + 0.935558i \(0.385103\pi\)
\(710\) 7.59505 2.03509i 0.285037 0.0763755i
\(711\) 5.99280 8.18535i 0.224747 0.306975i
\(712\) −3.60261 + 2.07997i −0.135014 + 0.0779501i
\(713\) 7.22555 + 7.22555i 0.270599 + 0.270599i
\(714\) −3.46999 + 6.28211i −0.129861 + 0.235102i
\(715\) −31.1580 22.1585i −1.16524 0.828681i
\(716\) −7.84844 + 4.53130i −0.293310 + 0.169343i
\(717\) −41.2346 + 8.68602i −1.53993 + 0.324385i
\(718\) −6.98071 + 12.0909i −0.260518 + 0.451230i
\(719\) 23.0599 + 39.9409i 0.859990 + 1.48955i 0.871938 + 0.489617i \(0.162863\pi\)
−0.0119481 + 0.999929i \(0.503803\pi\)
\(720\) 5.60081 4.50168i 0.208730 0.167768i
\(721\) −9.27902 + 48.5967i −0.345569 + 1.80983i
\(722\) −14.5120 14.5120i −0.540081 0.540081i
\(723\) −8.46983 + 25.9064i −0.314996 + 0.963469i
\(724\) −8.62043 + 14.9310i −0.320376 + 0.554907i
\(725\) −3.73376 + 6.46707i −0.138668 + 0.240181i
\(726\) −14.1582 4.62887i −0.525460 0.171793i
\(727\) 15.1685i 0.562568i 0.959625 + 0.281284i \(0.0907603\pi\)
−0.959625 + 0.281284i \(0.909240\pi\)
\(728\) −8.15715 4.94579i −0.302324 0.183303i
\(729\) −25.5856 8.62427i −0.947614 0.319417i
\(730\) −0.701002 + 2.61618i −0.0259453 + 0.0968290i
\(731\) 5.98331 + 3.45447i 0.221301 + 0.127768i
\(732\) 11.8991 18.2500i 0.439805 0.674541i
\(733\) 9.88490 36.8909i 0.365107 1.36260i −0.502169 0.864770i \(-0.667464\pi\)
0.867276 0.497828i \(-0.165869\pi\)
\(734\) −9.46909 + 9.46909i −0.349511 + 0.349511i
\(735\) 18.5598 22.3359i 0.684587 0.823874i
\(736\) −1.96290 + 1.96290i −0.0723534 + 0.0723534i
\(737\) 7.70668 4.44945i 0.283879 0.163898i
\(738\) −10.9612 8.02510i −0.403488 0.295408i
\(739\) −10.3712 38.7059i −0.381511 1.42382i −0.843594 0.536982i \(-0.819564\pi\)
0.462083 0.886837i \(-0.347102\pi\)
\(740\) −3.86350 6.69178i −0.142025 0.245995i
\(741\) 39.0101 4.42828i 1.43307 0.162677i
\(742\) 6.08383 0.445710i 0.223344 0.0163625i
\(743\) −9.57433 + 9.57433i −0.351248 + 0.351248i −0.860574 0.509326i \(-0.829895\pi\)
0.509326 + 0.860574i \(0.329895\pi\)
\(744\) −2.88417 5.68614i −0.105739 0.208464i
\(745\) −26.6576 15.3908i −0.976658 0.563874i
\(746\) 6.34209 + 23.6690i 0.232200 + 0.866583i
\(747\) −11.9225 4.62664i −0.436221 0.169280i
\(748\) −4.90265 + 4.90265i −0.179259 + 0.179259i
\(749\) −0.104740 + 0.548549i −0.00382710 + 0.0200435i
\(750\) 0.957816 17.6592i 0.0349745 0.644824i
\(751\) −10.3768 + 5.99105i −0.378655 + 0.218616i −0.677233 0.735769i \(-0.736821\pi\)
0.298578 + 0.954385i \(0.403488\pi\)
\(752\) 10.0772 2.70018i 0.367478 0.0984654i
\(753\) 15.9937 + 10.4280i 0.582843 + 0.380017i
\(754\) −28.1514 + 23.2731i −1.02521 + 0.847556i
\(755\) 30.7075i 1.11756i
\(756\) 2.35802 + 13.5440i 0.0857603 + 0.492590i
\(757\) 33.6799 1.22412 0.612059 0.790812i \(-0.290342\pi\)
0.612059 + 0.790812i \(0.290342\pi\)
\(758\) −17.2345 29.8511i −0.625987 1.08424i
\(759\) −4.38766 20.8293i −0.159262 0.756054i
\(760\) 14.5451 3.89735i 0.527606 0.141372i
\(761\) 5.12621 19.1313i 0.185825 0.693509i −0.808627 0.588321i \(-0.799789\pi\)
0.994452 0.105187i \(-0.0335442\pi\)
\(762\) −18.8588 + 16.9183i −0.683181 + 0.612884i
\(763\) 16.2632 33.6272i 0.588767 1.21739i
\(764\) 9.95230 0.360062
\(765\) 10.4912 + 4.07122i 0.379311 + 0.147195i
\(766\) 11.1121 + 6.41559i 0.401497 + 0.231805i
\(767\) −46.9916 17.4938i −1.69677 0.631666i
\(768\) 1.54470 0.783515i 0.0557396 0.0282727i
\(769\) 18.5957 + 18.5957i 0.670578 + 0.670578i 0.957849 0.287272i \(-0.0927482\pi\)
−0.287272 + 0.957849i \(0.592748\pi\)
\(770\) 23.2072 15.7658i 0.836331 0.568159i
\(771\) 1.34961 24.8828i 0.0486052 0.896132i
\(772\) 0.0446354 0.166582i 0.00160646 0.00599541i
\(773\) 4.59473 + 17.1478i 0.165261 + 0.616762i 0.998007 + 0.0631066i \(0.0201008\pi\)
−0.832746 + 0.553655i \(0.813233\pi\)
\(774\)