Properties

Label 280.2.ba.b.19.7
Level $280$
Weight $2$
Character 280.19
Analytic conductor $2.236$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 19.7
Character \(\chi\) \(=\) 280.19
Dual form 280.2.ba.b.59.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.24532 - 0.670206i) q^{2} +(-0.818911 - 1.41839i) q^{3} +(1.10165 + 1.66924i) q^{4} +(0.951297 + 2.02362i) q^{5} +(0.0691894 + 2.31520i) q^{6} +(-2.64158 - 0.148518i) q^{7} +(-0.253167 - 2.81707i) q^{8} +(0.158771 - 0.274999i) q^{9} +O(q^{10})\) \(q+(-1.24532 - 0.670206i) q^{2} +(-0.818911 - 1.41839i) q^{3} +(1.10165 + 1.66924i) q^{4} +(0.951297 + 2.02362i) q^{5} +(0.0691894 + 2.31520i) q^{6} +(-2.64158 - 0.148518i) q^{7} +(-0.253167 - 2.81707i) q^{8} +(0.158771 - 0.274999i) q^{9} +(0.171572 - 3.15762i) q^{10} +(-2.19380 - 3.79978i) q^{11} +(1.46550 - 2.92953i) q^{12} -2.75493i q^{13} +(3.19008 + 1.95536i) q^{14} +(2.09126 - 3.00648i) q^{15} +(-1.57275 + 3.67783i) q^{16} +(-0.648108 - 1.12256i) q^{17} +(-0.382026 + 0.236053i) q^{18} +(-3.86514 - 2.23154i) q^{19} +(-2.32992 + 3.81726i) q^{20} +(1.95256 + 3.86843i) q^{21} +(0.185353 + 6.20224i) q^{22} +(-0.136303 + 0.236084i) q^{23} +(-3.78840 + 2.66602i) q^{24} +(-3.19007 + 3.85013i) q^{25} +(-1.84637 + 3.43078i) q^{26} -5.43354 q^{27} +(-2.66218 - 4.57305i) q^{28} -9.84349i q^{29} +(-4.61925 + 2.34245i) q^{30} +(2.27724 + 3.94429i) q^{31} +(4.42348 - 3.52602i) q^{32} +(-3.59306 + 6.22335i) q^{33} +(0.0547583 + 1.83231i) q^{34} +(-2.21238 - 5.48684i) q^{35} +(0.633949 - 0.0379249i) q^{36} +(-3.94827 + 6.83861i) q^{37} +(3.31775 + 5.36942i) q^{38} +(-3.90758 + 2.25604i) q^{39} +(5.45985 - 3.19219i) q^{40} -3.95081i q^{41} +(0.161080 - 6.12605i) q^{42} -4.46362i q^{43} +(3.92595 - 7.84800i) q^{44} +(0.707531 + 0.0596857i) q^{45} +(0.327966 - 0.202649i) q^{46} +(7.22329 + 4.17037i) q^{47} +(6.50456 - 0.781043i) q^{48} +(6.95588 + 0.784646i) q^{49} +(6.55304 - 2.65664i) q^{50} +(-1.06148 + 1.83855i) q^{51} +(4.59865 - 3.03496i) q^{52} +(-5.40022 - 9.35345i) q^{53} +(6.76650 + 3.64159i) q^{54} +(5.60234 - 8.05413i) q^{55} +(0.250374 + 7.47913i) q^{56} +7.30972i q^{57} +(-6.59717 + 12.2583i) q^{58} +(3.31684 - 1.91498i) q^{59} +(7.32238 + 0.178748i) q^{60} +(-4.73907 + 8.20831i) q^{61} +(-0.192403 - 6.43813i) q^{62} +(-0.460248 + 0.702851i) q^{63} +(-7.87181 + 1.42638i) q^{64} +(5.57493 - 2.62076i) q^{65} +(8.64544 - 5.34198i) q^{66} +(8.32812 - 4.80824i) q^{67} +(1.15983 - 2.31851i) q^{68} +0.446480 q^{69} +(-0.922185 + 8.31562i) q^{70} +1.42046i q^{71} +(-0.814888 - 0.377648i) q^{72} +(1.84745 + 3.19988i) q^{73} +(9.50014 - 5.87010i) q^{74} +(8.07338 + 1.37187i) q^{75} +(-0.533039 - 8.91022i) q^{76} +(5.23077 + 10.3632i) q^{77} +(6.37821 - 0.190612i) q^{78} +(-12.3237 - 7.11507i) q^{79} +(-8.93869 + 0.316075i) q^{80} +(3.97327 + 6.88191i) q^{81} +(-2.64786 + 4.92003i) q^{82} +12.8354 q^{83} +(-4.30631 + 7.52094i) q^{84} +(1.65508 - 2.37941i) q^{85} +(-2.99155 + 5.55864i) q^{86} +(-13.9620 + 8.06094i) q^{87} +(-10.1489 + 7.14208i) q^{88} +(-3.15758 - 1.82303i) q^{89} +(-0.841101 - 0.548519i) q^{90} +(-0.409158 + 7.27737i) q^{91} +(-0.544239 + 0.0325581i) q^{92} +(3.72971 - 6.46005i) q^{93} +(-6.20031 - 10.0345i) q^{94} +(0.838889 - 9.94442i) q^{95} +(-8.62372 - 3.38675i) q^{96} -0.0199224 q^{97} +(-8.13643 - 5.63901i) q^{98} -1.39325 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 6q^{4} - 52q^{9} + O(q^{10}) \) \( 80q + 6q^{4} - 52q^{9} - 12q^{10} - 6q^{14} + 10q^{16} - 48q^{19} + 12q^{24} - 22q^{25} + 54q^{26} - 20q^{30} - 22q^{35} + 28q^{36} + 12q^{40} + 38q^{44} + 14q^{46} + 16q^{49} - 40q^{50} + 20q^{51} + 60q^{54} - 104q^{56} - 60q^{59} - 42q^{60} - 60q^{64} - 12q^{65} + 84q^{66} - 22q^{70} + 34q^{74} - 6q^{75} - 96q^{80} - 100q^{84} - 8q^{86} - 36q^{89} + 72q^{91} - 66q^{94} + 96q^{96} + 104q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(-1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.24532 0.670206i −0.880575 0.473907i
\(3\) −0.818911 1.41839i −0.472798 0.818911i 0.526717 0.850041i \(-0.323423\pi\)
−0.999515 + 0.0311300i \(0.990089\pi\)
\(4\) 1.10165 + 1.66924i 0.550824 + 0.834622i
\(5\) 0.951297 + 2.02362i 0.425433 + 0.904990i
\(6\) 0.0691894 + 2.31520i 0.0282465 + 0.945175i
\(7\) −2.64158 0.148518i −0.998423 0.0561347i
\(8\) −0.253167 2.81707i −0.0895081 0.995986i
\(9\) 0.158771 0.274999i 0.0529235 0.0916663i
\(10\) 0.171572 3.15762i 0.0542558 0.998527i
\(11\) −2.19380 3.79978i −0.661456 1.14568i −0.980233 0.197846i \(-0.936605\pi\)
0.318777 0.947830i \(-0.396728\pi\)
\(12\) 1.46550 2.92953i 0.423052 0.845683i
\(13\) 2.75493i 0.764081i −0.924146 0.382040i \(-0.875221\pi\)
0.924146 0.382040i \(-0.124779\pi\)
\(14\) 3.19008 + 1.95536i 0.852584 + 0.522591i
\(15\) 2.09126 3.00648i 0.539962 0.776269i
\(16\) −1.57275 + 3.67783i −0.393187 + 0.919459i
\(17\) −0.648108 1.12256i −0.157189 0.272260i 0.776665 0.629914i \(-0.216910\pi\)
−0.933854 + 0.357654i \(0.883577\pi\)
\(18\) −0.382026 + 0.236053i −0.0900445 + 0.0556381i
\(19\) −3.86514 2.23154i −0.886723 0.511950i −0.0138541 0.999904i \(-0.504410\pi\)
−0.872869 + 0.487954i \(0.837743\pi\)
\(20\) −2.32992 + 3.81726i −0.520986 + 0.853565i
\(21\) 1.95256 + 3.86843i 0.426084 + 0.844160i
\(22\) 0.185353 + 6.20224i 0.0395175 + 1.32232i
\(23\) −0.136303 + 0.236084i −0.0284211 + 0.0492269i −0.879886 0.475185i \(-0.842381\pi\)
0.851465 + 0.524411i \(0.175715\pi\)
\(24\) −3.78840 + 2.66602i −0.773304 + 0.544200i
\(25\) −3.19007 + 3.85013i −0.638013 + 0.770025i
\(26\) −1.84637 + 3.43078i −0.362104 + 0.672830i
\(27\) −5.43354 −1.04569
\(28\) −2.66218 4.57305i −0.503104 0.864226i
\(29\) 9.84349i 1.82789i −0.405838 0.913945i \(-0.633020\pi\)
0.405838 0.913945i \(-0.366980\pi\)
\(30\) −4.61925 + 2.34245i −0.843357 + 0.427671i
\(31\) 2.27724 + 3.94429i 0.409004 + 0.708416i 0.994778 0.102058i \(-0.0325428\pi\)
−0.585774 + 0.810474i \(0.699209\pi\)
\(32\) 4.42348 3.52602i 0.781968 0.623318i
\(33\) −3.59306 + 6.22335i −0.625471 + 1.08335i
\(34\) 0.0547583 + 1.83231i 0.00939098 + 0.314238i
\(35\) −2.21238 5.48684i −0.373961 0.927444i
\(36\) 0.633949 0.0379249i 0.105658 0.00632082i
\(37\) −3.94827 + 6.83861i −0.649092 + 1.12426i 0.334248 + 0.942485i \(0.391518\pi\)
−0.983340 + 0.181775i \(0.941816\pi\)
\(38\) 3.31775 + 5.36942i 0.538209 + 0.871035i
\(39\) −3.90758 + 2.25604i −0.625714 + 0.361256i
\(40\) 5.45985 3.19219i 0.863278 0.504729i
\(41\) 3.95081i 0.617013i −0.951222 0.308507i \(-0.900171\pi\)
0.951222 0.308507i \(-0.0998292\pi\)
\(42\) 0.161080 6.12605i 0.0248551 0.945270i
\(43\) 4.46362i 0.680696i −0.940300 0.340348i \(-0.889455\pi\)
0.940300 0.340348i \(-0.110545\pi\)
\(44\) 3.92595 7.84800i 0.591860 1.18313i
\(45\) 0.707531 + 0.0596857i 0.105472 + 0.00889742i
\(46\) 0.327966 0.202649i 0.0483559 0.0298789i
\(47\) 7.22329 + 4.17037i 1.05363 + 0.608311i 0.923662 0.383208i \(-0.125181\pi\)
0.129963 + 0.991519i \(0.458514\pi\)
\(48\) 6.50456 0.781043i 0.938852 0.112734i
\(49\) 6.95588 + 0.784646i 0.993698 + 0.112092i
\(50\) 6.55304 2.65664i 0.926739 0.375705i
\(51\) −1.06148 + 1.83855i −0.148638 + 0.257448i
\(52\) 4.59865 3.03496i 0.637718 0.420874i
\(53\) −5.40022 9.35345i −0.741777 1.28479i −0.951686 0.307074i \(-0.900650\pi\)
0.209909 0.977721i \(-0.432683\pi\)
\(54\) 6.76650 + 3.64159i 0.920804 + 0.495558i
\(55\) 5.60234 8.05413i 0.755420 1.08602i
\(56\) 0.250374 + 7.47913i 0.0334576 + 0.999440i
\(57\) 7.30972i 0.968196i
\(58\) −6.59717 + 12.2583i −0.866251 + 1.60959i
\(59\) 3.31684 1.91498i 0.431816 0.249309i −0.268304 0.963334i \(-0.586463\pi\)
0.700120 + 0.714025i \(0.253130\pi\)
\(60\) 7.32238 + 0.178748i 0.945315 + 0.0230763i
\(61\) −4.73907 + 8.20831i −0.606776 + 1.05097i 0.384992 + 0.922920i \(0.374204\pi\)
−0.991768 + 0.128047i \(0.959129\pi\)
\(62\) −0.192403 6.43813i −0.0244352 0.817644i
\(63\) −0.460248 + 0.702851i −0.0579858 + 0.0885509i
\(64\) −7.87181 + 1.42638i −0.983977 + 0.178298i
\(65\) 5.57493 2.62076i 0.691486 0.325065i
\(66\) 8.64544 5.34198i 1.06418 0.657553i
\(67\) 8.32812 4.80824i 1.01744 0.587420i 0.104079 0.994569i \(-0.466810\pi\)
0.913362 + 0.407149i \(0.133477\pi\)
\(68\) 1.15983 2.31851i 0.140650 0.281161i
\(69\) 0.446480 0.0537499
\(70\) −0.922185 + 8.31562i −0.110222 + 0.993907i
\(71\) 1.42046i 0.168578i 0.996441 + 0.0842888i \(0.0268618\pi\)
−0.996441 + 0.0842888i \(0.973138\pi\)
\(72\) −0.814888 0.377648i −0.0960354 0.0445062i
\(73\) 1.84745 + 3.19988i 0.216228 + 0.374518i 0.953652 0.300912i \(-0.0972912\pi\)
−0.737424 + 0.675430i \(0.763958\pi\)
\(74\) 9.50014 5.87010i 1.10437 0.682385i
\(75\) 8.07338 + 1.37187i 0.932234 + 0.158409i
\(76\) −0.533039 8.91022i −0.0611437 1.02207i
\(77\) 5.23077 + 10.3632i 0.596101 + 1.18100i
\(78\) 6.37821 0.190612i 0.722190 0.0215826i
\(79\) −12.3237 7.11507i −1.38652 0.800508i −0.393599 0.919282i \(-0.628770\pi\)
−0.992921 + 0.118774i \(0.962104\pi\)
\(80\) −8.93869 + 0.316075i −0.999375 + 0.0353383i
\(81\) 3.97327 + 6.88191i 0.441475 + 0.764657i
\(82\) −2.64786 + 4.92003i −0.292407 + 0.543326i
\(83\) 12.8354 1.40887 0.704435 0.709769i \(-0.251201\pi\)
0.704435 + 0.709769i \(0.251201\pi\)
\(84\) −4.30631 + 7.52094i −0.469857 + 0.820602i
\(85\) 1.65508 2.37941i 0.179519 0.258083i
\(86\) −2.99155 + 5.55864i −0.322587 + 0.599403i
\(87\) −13.9620 + 8.06094i −1.49688 + 0.864223i
\(88\) −10.1489 + 7.14208i −1.08187 + 0.761348i
\(89\) −3.15758 1.82303i −0.334703 0.193241i 0.323224 0.946322i \(-0.395233\pi\)
−0.657927 + 0.753082i \(0.728567\pi\)
\(90\) −0.841101 0.548519i −0.0886598 0.0578190i
\(91\) −0.409158 + 7.27737i −0.0428914 + 0.762876i
\(92\) −0.544239 + 0.0325581i −0.0567408 + 0.00339442i
\(93\) 3.72971 6.46005i 0.386753 0.669876i
\(94\) −6.20031 10.0345i −0.639513 1.03498i
\(95\) 0.838889 9.94442i 0.0860682 1.02028i
\(96\) −8.62372 3.38675i −0.880155 0.345658i
\(97\) −0.0199224 −0.00202282 −0.00101141 0.999999i \(-0.500322\pi\)
−0.00101141 + 0.999999i \(0.500322\pi\)
\(98\) −8.13643 5.63901i −0.821904 0.569626i
\(99\) −1.39325 −0.140026
\(100\) −9.94113 1.08352i −0.994113 0.108352i
\(101\) 3.28413 + 5.68828i 0.326783 + 0.566005i 0.981872 0.189547i \(-0.0607019\pi\)
−0.655088 + 0.755552i \(0.727369\pi\)
\(102\) 2.55409 1.57817i 0.252893 0.156262i
\(103\) 9.28337 + 5.35976i 0.914718 + 0.528112i 0.881946 0.471350i \(-0.156233\pi\)
0.0327715 + 0.999463i \(0.489567\pi\)
\(104\) −7.76085 + 0.697459i −0.761014 + 0.0683914i
\(105\) −5.97076 + 7.63126i −0.582686 + 0.744735i
\(106\) 0.456262 + 15.2673i 0.0443161 + 1.48289i
\(107\) 2.95557 + 1.70640i 0.285725 + 0.164964i 0.636013 0.771679i \(-0.280583\pi\)
−0.350287 + 0.936642i \(0.613916\pi\)
\(108\) −5.98584 9.06990i −0.575988 0.872752i
\(109\) 7.73766 4.46734i 0.741134 0.427894i −0.0813476 0.996686i \(-0.525922\pi\)
0.822481 + 0.568792i \(0.192589\pi\)
\(110\) −12.3746 + 6.27526i −1.17988 + 0.598322i
\(111\) 12.9331 1.22756
\(112\) 4.70076 9.48171i 0.444180 0.895938i
\(113\) 9.31026i 0.875836i −0.899015 0.437918i \(-0.855716\pi\)
0.899015 0.437918i \(-0.144284\pi\)
\(114\) 4.89902 9.10295i 0.458835 0.852569i
\(115\) −0.607408 0.0512396i −0.0566411 0.00477811i
\(116\) 16.4312 10.8441i 1.52560 1.00685i
\(117\) −0.757603 0.437402i −0.0700405 0.0404379i
\(118\) −5.41396 + 0.161796i −0.498395 + 0.0148945i
\(119\) 1.54531 + 3.06158i 0.141658 + 0.280654i
\(120\) −8.99891 5.13010i −0.821484 0.468312i
\(121\) −4.12553 + 7.14563i −0.375048 + 0.649603i
\(122\) 11.4029 7.04583i 1.03237 0.637899i
\(123\) −5.60381 + 3.23536i −0.505279 + 0.291723i
\(124\) −4.07527 + 8.14649i −0.365970 + 0.731576i
\(125\) −10.8259 2.79287i −0.968297 0.249802i
\(126\) 1.04421 0.566814i 0.0930257 0.0504958i
\(127\) 2.88968 0.256418 0.128209 0.991747i \(-0.459077\pi\)
0.128209 + 0.991747i \(0.459077\pi\)
\(128\) 10.7589 + 3.49944i 0.950961 + 0.309309i
\(129\) −6.33118 + 3.65531i −0.557429 + 0.321832i
\(130\) −8.69903 0.472669i −0.762955 0.0414558i
\(131\) −0.191301 0.110448i −0.0167140 0.00964984i 0.491620 0.870810i \(-0.336405\pi\)
−0.508334 + 0.861160i \(0.669738\pi\)
\(132\) −14.3466 + 0.858259i −1.24871 + 0.0747018i
\(133\) 9.87864 + 6.46883i 0.856587 + 0.560919i
\(134\) −13.5937 + 0.406246i −1.17432 + 0.0350943i
\(135\) −5.16891 10.9954i −0.444869 0.946335i
\(136\) −2.99824 + 2.10996i −0.257097 + 0.180928i
\(137\) 1.81703 1.04906i 0.155239 0.0896274i −0.420368 0.907354i \(-0.638099\pi\)
0.575607 + 0.817726i \(0.304766\pi\)
\(138\) −0.556011 0.299234i −0.0473308 0.0254725i
\(139\) 16.0797i 1.36387i 0.731415 + 0.681933i \(0.238860\pi\)
−0.731415 + 0.681933i \(0.761140\pi\)
\(140\) 6.72160 9.73756i 0.568079 0.822974i
\(141\) 13.6606i 1.15043i
\(142\) 0.952001 1.76893i 0.0798901 0.148445i
\(143\) −10.4681 + 6.04378i −0.875389 + 0.505406i
\(144\) 0.761694 + 1.01644i 0.0634745 + 0.0847030i
\(145\) 19.9195 9.36408i 1.65422 0.777645i
\(146\) −0.156091 5.22305i −0.0129181 0.432263i
\(147\) −4.58331 10.5087i −0.378025 0.866747i
\(148\) −15.7649 + 0.943107i −1.29587 + 0.0775230i
\(149\) 10.5922 + 6.11539i 0.867744 + 0.500992i 0.866598 0.499007i \(-0.166302\pi\)
0.00114601 + 0.999999i \(0.499635\pi\)
\(150\) −9.13451 7.11924i −0.745830 0.581284i
\(151\) −5.37065 + 3.10075i −0.437058 + 0.252335i −0.702349 0.711833i \(-0.747865\pi\)
0.265291 + 0.964168i \(0.414532\pi\)
\(152\) −5.30788 + 11.4533i −0.430526 + 0.928988i
\(153\) −0.411602 −0.0332760
\(154\) 0.431521 16.4112i 0.0347729 1.32246i
\(155\) −5.81542 + 8.36046i −0.467106 + 0.671528i
\(156\) −8.07066 4.03734i −0.646170 0.323246i
\(157\) −8.45018 + 4.87872i −0.674398 + 0.389364i −0.797741 0.603000i \(-0.793972\pi\)
0.123343 + 0.992364i \(0.460638\pi\)
\(158\) 10.5784 + 17.1199i 0.841568 + 1.36199i
\(159\) −8.84459 + 15.3193i −0.701422 + 1.21490i
\(160\) 11.3434 + 5.59715i 0.896772 + 0.442493i
\(161\) 0.395118 0.603390i 0.0311397 0.0475538i
\(162\) −0.335700 11.2331i −0.0263751 0.882555i
\(163\) −11.6016 6.69821i −0.908711 0.524644i −0.0286947 0.999588i \(-0.509135\pi\)
−0.880016 + 0.474944i \(0.842468\pi\)
\(164\) 6.59487 4.35240i 0.514972 0.339865i
\(165\) −16.0118 1.35072i −1.24651 0.105153i
\(166\) −15.9842 8.60237i −1.24061 0.667674i
\(167\) 0.950030i 0.0735155i −0.999324 0.0367578i \(-0.988297\pi\)
0.999324 0.0367578i \(-0.0117030\pi\)
\(168\) 10.4033 6.47986i 0.802633 0.499932i
\(169\) 5.41034 0.416180
\(170\) −3.65580 + 1.85388i −0.280387 + 0.142186i
\(171\) −1.22734 + 0.708606i −0.0938571 + 0.0541884i
\(172\) 7.45087 4.91734i 0.568123 0.374943i
\(173\) −6.18561 3.57127i −0.470283 0.271518i 0.246075 0.969251i \(-0.420859\pi\)
−0.716358 + 0.697733i \(0.754192\pi\)
\(174\) 22.7896 0.681065i 1.72768 0.0516314i
\(175\) 8.99863 9.69663i 0.680233 0.732996i
\(176\) 17.4252 2.09236i 1.31348 0.157717i
\(177\) −5.43239 3.13639i −0.408324 0.235746i
\(178\) 2.71040 + 4.38649i 0.203153 + 0.328781i
\(179\) −1.57410 2.72641i −0.117653 0.203782i 0.801184 0.598418i \(-0.204204\pi\)
−0.918837 + 0.394636i \(0.870871\pi\)
\(180\) 0.679820 + 1.24679i 0.0506708 + 0.0929305i
\(181\) −16.4575 −1.22328 −0.611640 0.791136i \(-0.709490\pi\)
−0.611640 + 0.791136i \(0.709490\pi\)
\(182\) 5.38687 8.78844i 0.399302 0.651443i
\(183\) 15.5235 1.14753
\(184\) 0.699573 + 0.324207i 0.0515732 + 0.0239009i
\(185\) −17.5947 1.48425i −1.29359 0.109124i
\(186\) −8.97425 + 5.54516i −0.658024 + 0.406591i
\(187\) −2.84364 + 4.92533i −0.207948 + 0.360176i
\(188\) 0.996159 + 16.6517i 0.0726524 + 1.21445i
\(189\) 14.3531 + 0.806980i 1.04404 + 0.0586992i
\(190\) −7.70950 + 11.8218i −0.559306 + 0.857641i
\(191\) −13.9077 8.02964i −1.00633 0.581004i −0.0962140 0.995361i \(-0.530673\pi\)
−0.910115 + 0.414357i \(0.864007\pi\)
\(192\) 8.46948 + 9.99726i 0.611232 + 0.721490i
\(193\) 14.2638 8.23520i 1.02673 0.592783i 0.110684 0.993856i \(-0.464696\pi\)
0.916046 + 0.401073i \(0.131363\pi\)
\(194\) 0.0248098 + 0.0133521i 0.00178124 + 0.000958627i
\(195\) −8.28265 5.76129i −0.593133 0.412575i
\(196\) 6.35317 + 12.4755i 0.453798 + 0.891105i
\(197\) −4.67126 −0.332814 −0.166407 0.986057i \(-0.553216\pi\)
−0.166407 + 0.986057i \(0.553216\pi\)
\(198\) 1.73504 + 0.933762i 0.123304 + 0.0663595i
\(199\) 5.83140 + 10.1003i 0.413377 + 0.715990i 0.995257 0.0972849i \(-0.0310158\pi\)
−0.581879 + 0.813275i \(0.697682\pi\)
\(200\) 11.6537 + 8.01193i 0.824042 + 0.566529i
\(201\) −13.6400 7.87504i −0.962089 0.555462i
\(202\) −0.277475 9.28478i −0.0195231 0.653275i
\(203\) −1.46194 + 26.0024i −0.102608 + 1.82501i
\(204\) −4.23836 + 0.253553i −0.296745 + 0.0177522i
\(205\) 7.99494 3.75840i 0.558391 0.262498i
\(206\) −7.96863 12.8964i −0.555201 0.898534i
\(207\) 0.0432818 + 0.0749663i 0.00300829 + 0.00521052i
\(208\) 10.1322 + 4.33281i 0.702541 + 0.300426i
\(209\) 19.5822i 1.35453i
\(210\) 12.5500 5.50173i 0.866034 0.379655i
\(211\) 14.7790 1.01743 0.508714 0.860936i \(-0.330121\pi\)
0.508714 + 0.860936i \(0.330121\pi\)
\(212\) 9.66405 19.3185i 0.663729 1.32680i
\(213\) 2.01477 1.16323i 0.138050 0.0797032i
\(214\) −2.53699 4.10585i −0.173425 0.280670i
\(215\) 9.03267 4.24623i 0.616023 0.289590i
\(216\) 1.37559 + 15.3067i 0.0935973 + 1.04149i
\(217\) −5.42971 10.7574i −0.368593 0.730258i
\(218\) −12.6299 + 0.377444i −0.855406 + 0.0255637i
\(219\) 3.02580 5.24084i 0.204464 0.354143i
\(220\) 19.6161 + 0.478854i 1.32252 + 0.0322843i
\(221\) −3.09257 + 1.78549i −0.208028 + 0.120105i
\(222\) −16.1059 8.66786i −1.08096 0.581749i
\(223\) 7.00259i 0.468928i −0.972125 0.234464i \(-0.924666\pi\)
0.972125 0.234464i \(-0.0753335\pi\)
\(224\) −12.2087 + 8.65729i −0.815725 + 0.578440i
\(225\) 0.552291 + 1.48855i 0.0368194 + 0.0992368i
\(226\) −6.23980 + 11.5943i −0.415065 + 0.771239i
\(227\) 10.2610 + 17.7725i 0.681043 + 1.17960i 0.974663 + 0.223679i \(0.0718068\pi\)
−0.293619 + 0.955922i \(0.594860\pi\)
\(228\) −12.2017 + 8.05274i −0.808078 + 0.533305i
\(229\) 12.4920 21.6368i 0.825496 1.42980i −0.0760431 0.997105i \(-0.524229\pi\)
0.901539 0.432697i \(-0.142438\pi\)
\(230\) 0.722077 + 0.470898i 0.0476123 + 0.0310501i
\(231\) 10.4156 15.9058i 0.685298 1.04653i
\(232\) −27.7298 + 2.49205i −1.82055 + 0.163611i
\(233\) −3.61112 2.08488i −0.236572 0.136585i 0.377028 0.926202i \(-0.376946\pi\)
−0.613600 + 0.789617i \(0.710279\pi\)
\(234\) 0.650309 + 1.05246i 0.0425120 + 0.0688013i
\(235\) −1.56774 + 18.5844i −0.102268 + 1.21232i
\(236\) 6.85055 + 3.42698i 0.445933 + 0.223078i
\(237\) 23.3064i 1.51392i
\(238\) 0.127483 4.84832i 0.00826348 0.314270i
\(239\) 26.5365i 1.71651i 0.513228 + 0.858253i \(0.328450\pi\)
−0.513228 + 0.858253i \(0.671550\pi\)
\(240\) 7.76830 + 12.4197i 0.501442 + 0.801691i
\(241\) 26.1925 15.1223i 1.68721 0.974110i 0.730566 0.682842i \(-0.239256\pi\)
0.956641 0.291268i \(-0.0940772\pi\)
\(242\) 9.92665 6.13364i 0.638110 0.394286i
\(243\) −1.64280 + 2.84541i −0.105386 + 0.182533i
\(244\) −18.9225 + 1.13200i −1.21139 + 0.0724691i
\(245\) 5.02929 + 14.8225i 0.321309 + 0.946974i
\(246\) 9.14690 0.273354i 0.583185 0.0174284i
\(247\) −6.14774 + 10.6482i −0.391171 + 0.677528i
\(248\) 10.5348 7.41372i 0.668963 0.470772i
\(249\) −10.5111 18.2057i −0.666111 1.15374i
\(250\) 11.6099 + 10.7336i 0.734275 + 0.678852i
\(251\) 21.4077i 1.35124i −0.737250 0.675620i \(-0.763876\pi\)
0.737250 0.675620i \(-0.236124\pi\)
\(252\) −1.68026 + 0.00602856i −0.105846 + 0.000379764i
\(253\) 1.19609 0.0751973
\(254\) −3.59858 1.93668i −0.225795 0.121518i
\(255\) −4.73030 0.399037i −0.296223 0.0249887i
\(256\) −11.0529 11.5686i −0.690809 0.723038i
\(257\) 4.90535 8.49632i 0.305988 0.529986i −0.671493 0.741011i \(-0.734347\pi\)
0.977481 + 0.211025i \(0.0676801\pi\)
\(258\) 10.3342 0.308835i 0.643376 0.0192272i
\(259\) 11.4453 17.4783i 0.711178 1.08605i
\(260\) 10.5163 + 6.41877i 0.652193 + 0.398075i
\(261\) −2.70695 1.56286i −0.167556 0.0967384i
\(262\) 0.164208 + 0.265753i 0.0101448 + 0.0164183i
\(263\) −6.21557 10.7657i −0.383268 0.663840i 0.608259 0.793739i \(-0.291868\pi\)
−0.991527 + 0.129898i \(0.958535\pi\)
\(264\) 18.4413 + 8.54635i 1.13498 + 0.525992i
\(265\) 13.7906 19.8259i 0.847150 1.21789i
\(266\) −7.96663 14.6765i −0.488465 0.899874i
\(267\) 5.97160i 0.365456i
\(268\) 17.2008 + 8.60467i 1.05070 + 0.525614i
\(269\) 3.48319 + 6.03307i 0.212374 + 0.367843i 0.952457 0.304673i \(-0.0985471\pi\)
−0.740083 + 0.672516i \(0.765214\pi\)
\(270\) −0.932242 + 17.1571i −0.0567345 + 1.04415i
\(271\) 13.3991 23.2079i 0.813935 1.40978i −0.0961544 0.995366i \(-0.530654\pi\)
0.910090 0.414411i \(-0.136012\pi\)
\(272\) 5.14788 0.618138i 0.312136 0.0374801i
\(273\) 10.6573 5.37917i 0.645006 0.325562i
\(274\) −2.96587 + 0.0886348i −0.179175 + 0.00535462i
\(275\) 21.6280 + 3.67513i 1.30422 + 0.221619i
\(276\) 0.491863 + 0.745284i 0.0296067 + 0.0448608i
\(277\) −8.59103 14.8801i −0.516185 0.894058i −0.999823 0.0187904i \(-0.994018\pi\)
0.483639 0.875268i \(-0.339315\pi\)
\(278\) 10.7767 20.0244i 0.646346 1.20099i
\(279\) 1.44624 0.0865838
\(280\) −14.8967 + 7.62153i −0.890249 + 0.455474i
\(281\) −24.3194 −1.45078 −0.725388 0.688341i \(-0.758339\pi\)
−0.725388 + 0.688341i \(0.758339\pi\)
\(282\) −9.15544 + 17.0119i −0.545199 + 1.01304i
\(283\) −5.66683 9.81524i −0.336858 0.583455i 0.646982 0.762505i \(-0.276031\pi\)
−0.983840 + 0.179050i \(0.942698\pi\)
\(284\) −2.37109 + 1.56485i −0.140698 + 0.0928565i
\(285\) −14.7921 + 6.95372i −0.876208 + 0.411903i
\(286\) 17.0868 0.510636i 1.01036 0.0301945i
\(287\) −0.586768 + 10.4364i −0.0346358 + 0.616040i
\(288\) −0.267332 1.77628i −0.0157527 0.104668i
\(289\) 7.65991 13.2674i 0.450583 0.780433i
\(290\) −31.0820 1.68887i −1.82520 0.0991736i
\(291\) 0.0163147 + 0.0282579i 0.000956384 + 0.00165650i
\(292\) −3.30614 + 6.60899i −0.193477 + 0.386762i
\(293\) 13.5647i 0.792460i 0.918151 + 0.396230i \(0.129682\pi\)
−0.918151 + 0.396230i \(0.870318\pi\)
\(294\) −1.33534 + 16.1585i −0.0778783 + 0.942384i
\(295\) 7.03049 + 4.89031i 0.409331 + 0.284725i
\(296\) 20.2644 + 9.39126i 1.17785 + 0.545856i
\(297\) 11.9201 + 20.6462i 0.691675 + 1.19802i
\(298\) −9.09207 14.7146i −0.526689 0.852391i
\(299\) 0.650395 + 0.375506i 0.0376133 + 0.0217160i
\(300\) 6.60404 + 14.9877i 0.381284 + 0.865318i
\(301\) −0.662929 + 11.7910i −0.0382106 + 0.679622i
\(302\) 8.76633 0.261981i 0.504445 0.0150753i
\(303\) 5.37882 9.31639i 0.309005 0.535213i
\(304\) 14.2861 10.7057i 0.819365 0.614014i
\(305\) −21.1188 1.78153i −1.20926 0.102010i
\(306\) 0.512576 + 0.275858i 0.0293020 + 0.0157698i
\(307\) −20.1572 −1.15043 −0.575216 0.818002i \(-0.695082\pi\)
−0.575216 + 0.818002i \(0.695082\pi\)
\(308\) −11.5363 + 20.1480i −0.657341 + 1.14804i
\(309\) 17.5566i 0.998763i
\(310\) 12.8453 6.51393i 0.729564 0.369966i
\(311\) −6.65610 11.5287i −0.377433 0.653733i 0.613255 0.789885i \(-0.289860\pi\)
−0.990688 + 0.136152i \(0.956526\pi\)
\(312\) 7.34471 + 10.4368i 0.415813 + 0.590867i
\(313\) −13.3898 + 23.1919i −0.756838 + 1.31088i 0.187618 + 0.982242i \(0.439923\pi\)
−0.944456 + 0.328639i \(0.893410\pi\)
\(314\) 13.7929 0.412201i 0.778380 0.0232618i
\(315\) −1.86013 0.262746i −0.104807 0.0148040i
\(316\) −1.69955 28.4095i −0.0956071 1.59816i
\(317\) 15.3924 26.6604i 0.864524 1.49740i −0.00299582 0.999996i \(-0.500954\pi\)
0.867519 0.497403i \(-0.165713\pi\)
\(318\) 21.2814 13.1497i 1.19340 0.737399i
\(319\) −37.4031 + 21.5947i −2.09417 + 1.20907i
\(320\) −10.3749 14.5726i −0.579974 0.814635i
\(321\) 5.58955i 0.311978i
\(322\) −0.896444 + 0.486604i −0.0499569 + 0.0271174i
\(323\) 5.78511i 0.321892i
\(324\) −7.11044 + 14.2138i −0.395024 + 0.789655i
\(325\) 10.6068 + 8.78842i 0.588362 + 0.487494i
\(326\) 9.95858 + 16.1169i 0.551555 + 0.892633i
\(327\) −12.6729 7.31671i −0.700814 0.404615i
\(328\) −11.1297 + 1.00022i −0.614536 + 0.0552277i
\(329\) −18.4615 12.0892i −1.01782 0.666497i
\(330\) 19.0345 + 12.4133i 1.04782 + 0.683327i
\(331\) −2.30264 + 3.98829i −0.126564 + 0.219216i −0.922343 0.386371i \(-0.873728\pi\)
0.795779 + 0.605587i \(0.207062\pi\)
\(332\) 14.1401 + 21.4254i 0.776039 + 1.17587i
\(333\) 1.25374 + 2.17154i 0.0687045 + 0.119000i
\(334\) −0.636716 + 1.18309i −0.0348395 + 0.0647359i
\(335\) 17.6526 + 12.2789i 0.964462 + 0.670866i
\(336\) −17.2983 + 1.09714i −0.943700 + 0.0598540i
\(337\) 12.2970i 0.669862i −0.942243 0.334931i \(-0.891287\pi\)
0.942243 0.334931i \(-0.108713\pi\)
\(338\) −6.73761 3.62605i −0.366478 0.197231i
\(339\) −13.2056 + 7.62427i −0.717231 + 0.414094i
\(340\) 5.79513 + 0.141466i 0.314285 + 0.00767209i
\(341\) 9.99162 17.3060i 0.541077 0.937172i
\(342\) 2.00334 0.0598698i 0.108328 0.00323739i
\(343\) −18.2580 3.10578i −0.985839 0.167696i
\(344\) −12.5743 + 1.13004i −0.677963 + 0.0609278i
\(345\) 0.424735 + 0.903505i 0.0228670 + 0.0486431i
\(346\) 5.30959 + 8.59301i 0.285445 + 0.461963i
\(347\) −6.93751 + 4.00537i −0.372425 + 0.215020i −0.674517 0.738259i \(-0.735648\pi\)
0.302092 + 0.953279i \(0.402315\pi\)
\(348\) −28.8368 14.4256i −1.54582 0.773293i
\(349\) −15.3254 −0.820347 −0.410174 0.912007i \(-0.634532\pi\)
−0.410174 + 0.912007i \(0.634532\pi\)
\(350\) −17.7049 + 6.04448i −0.946368 + 0.323091i
\(351\) 14.9690i 0.798988i
\(352\) −23.1023 9.07285i −1.23136 0.483584i
\(353\) −14.7109 25.4800i −0.782981 1.35616i −0.930198 0.367059i \(-0.880365\pi\)
0.147216 0.989104i \(-0.452969\pi\)
\(354\) 4.66304 + 7.54664i 0.247838 + 0.401099i
\(355\) −2.87447 + 1.35128i −0.152561 + 0.0717184i
\(356\) −0.435460 7.27911i −0.0230793 0.385792i
\(357\) 3.07705 4.69901i 0.162855 0.248698i
\(358\) 0.132995 + 4.45023i 0.00702899 + 0.235202i
\(359\) −3.08814 1.78294i −0.162986 0.0940998i 0.416289 0.909233i \(-0.363331\pi\)
−0.579274 + 0.815133i \(0.696664\pi\)
\(360\) −0.0109846 2.00828i −0.000578939 0.105846i
\(361\) 0.459526 + 0.795923i 0.0241856 + 0.0418907i
\(362\) 20.4949 + 11.0300i 1.07719 + 0.579721i
\(363\) 13.5138 0.709289
\(364\) −12.5985 + 7.33412i −0.660339 + 0.384412i
\(365\) −4.71787 + 6.78258i −0.246944 + 0.355016i
\(366\) −19.3317 10.4039i −1.01049 0.543823i
\(367\) 8.15253 4.70686i 0.425558 0.245696i −0.271894 0.962327i \(-0.587650\pi\)
0.697453 + 0.716631i \(0.254317\pi\)
\(368\) −0.653907 0.872600i −0.0340873 0.0454874i
\(369\) −1.08647 0.627273i −0.0565593 0.0326545i
\(370\) 20.9163 + 13.6404i 1.08739 + 0.709133i
\(371\) 12.8759 + 25.5099i 0.668486 + 1.32441i
\(372\) 14.8922 0.890901i 0.772126 0.0461911i
\(373\) −2.95853 + 5.12432i −0.153187 + 0.265327i −0.932397 0.361435i \(-0.882287\pi\)
0.779211 + 0.626762i \(0.215620\pi\)
\(374\) 6.84223 4.22779i 0.353803 0.218614i
\(375\) 4.90405 + 17.6425i 0.253244 + 0.911055i
\(376\) 9.91954 21.4043i 0.511561 1.10384i
\(377\) −27.1182 −1.39666
\(378\) −17.3334 10.6245i −0.891534 0.546466i
\(379\) 10.0919 0.518388 0.259194 0.965825i \(-0.416543\pi\)
0.259194 + 0.965825i \(0.416543\pi\)
\(380\) 17.5238 9.55494i 0.898953 0.490158i
\(381\) −2.36639 4.09871i −0.121234 0.209983i
\(382\) 11.9381 + 19.3205i 0.610805 + 0.988524i
\(383\) −18.3760 10.6094i −0.938968 0.542113i −0.0493313 0.998782i \(-0.515709\pi\)
−0.889637 + 0.456669i \(0.849042\pi\)
\(384\) −3.84700 18.1261i −0.196316 0.924993i
\(385\) −15.9952 + 20.4436i −0.815192 + 1.04190i
\(386\) −23.2823 + 0.695789i −1.18504 + 0.0354147i
\(387\) −1.22749 0.708692i −0.0623968 0.0360248i
\(388\) −0.0219475 0.0332554i −0.00111421 0.00168829i
\(389\) 17.0998 9.87258i 0.866995 0.500560i 0.000646573 1.00000i \(-0.499794\pi\)
0.866349 + 0.499440i \(0.166461\pi\)
\(390\) 6.45330 + 12.7257i 0.326775 + 0.644393i
\(391\) 0.353356 0.0178700
\(392\) 0.449404 19.7939i 0.0226983 0.999742i
\(393\) 0.361787i 0.0182497i
\(394\) 5.81722 + 3.13071i 0.293067 + 0.157723i
\(395\) 2.67473 31.7069i 0.134580 1.59535i
\(396\) −1.53486 2.32567i −0.0771299 0.116869i
\(397\) 7.56788 + 4.36932i 0.379821 + 0.219290i 0.677740 0.735301i \(-0.262959\pi\)
−0.297919 + 0.954591i \(0.596293\pi\)
\(398\) −0.492693 16.4863i −0.0246964 0.826385i
\(399\) 1.08563 19.3092i 0.0543494 0.966670i
\(400\) −9.14296 17.7878i −0.457148 0.889391i
\(401\) −12.7155 + 22.0240i −0.634984 + 1.09982i 0.351535 + 0.936175i \(0.385660\pi\)
−0.986519 + 0.163649i \(0.947673\pi\)
\(402\) 11.7082 + 18.9485i 0.583954 + 0.945067i
\(403\) 10.8663 6.27364i 0.541287 0.312512i
\(404\) −5.87717 + 11.7485i −0.292400 + 0.584509i
\(405\) −10.1466 + 14.5871i −0.504189 + 0.724840i
\(406\) 19.2475 31.4015i 0.955239 1.55843i
\(407\) 34.6469 1.71738
\(408\) 5.44805 + 2.52482i 0.269719 + 0.124997i
\(409\) −10.4748 + 6.04761i −0.517944 + 0.299035i −0.736093 0.676880i \(-0.763331\pi\)
0.218149 + 0.975915i \(0.429998\pi\)
\(410\) −12.4752 0.677848i −0.616104 0.0334765i
\(411\) −2.97597 1.71818i −0.146794 0.0847514i
\(412\) 1.28026 + 21.4008i 0.0630740 + 1.05434i
\(413\) −9.04611 + 4.56596i −0.445130 + 0.224676i
\(414\) −0.00365686 0.122365i −0.000179725 0.00601390i
\(415\) 12.2103 + 25.9740i 0.599380 + 1.27501i
\(416\) −9.71395 12.1864i −0.476265 0.597487i
\(417\) 22.8074 13.1679i 1.11688 0.644833i
\(418\) 13.1241 24.3861i 0.641922 1.19276i
\(419\) 12.5618i 0.613682i 0.951761 + 0.306841i \(0.0992719\pi\)
−0.951761 + 0.306841i \(0.900728\pi\)
\(420\) −19.3161 1.55969i −0.942529 0.0761049i
\(421\) 3.98711i 0.194320i −0.995269 0.0971600i \(-0.969024\pi\)
0.995269 0.0971600i \(-0.0309759\pi\)
\(422\) −18.4046 9.90496i −0.895921 0.482166i
\(423\) 2.29369 1.32426i 0.111523 0.0643879i
\(424\) −24.9822 + 17.5808i −1.21324 + 0.853799i
\(425\) 6.38949 + 1.08573i 0.309936 + 0.0526657i
\(426\) −3.28864 + 0.0982808i −0.159335 + 0.00476172i
\(427\) 13.7377 20.9791i 0.664815 1.01525i
\(428\) 0.407600 + 6.81341i 0.0197021 + 0.329338i
\(429\) 17.1449 + 9.89863i 0.827765 + 0.477910i
\(430\) −14.0944 0.765832i −0.679693 0.0369317i
\(431\) 3.74772 2.16375i 0.180521 0.104224i −0.407016 0.913421i \(-0.633431\pi\)
0.587538 + 0.809197i \(0.300097\pi\)
\(432\) 8.54558 19.9837i 0.411149 0.961464i
\(433\) −4.33970 −0.208552 −0.104276 0.994548i \(-0.533253\pi\)
−0.104276 + 0.994548i \(0.533253\pi\)
\(434\) −0.447933 + 17.0354i −0.0215015 + 0.817726i
\(435\) −29.5942 20.5853i −1.41894 0.986991i
\(436\) 15.9813 + 7.99461i 0.765363 + 0.382872i
\(437\) 1.05366 0.608331i 0.0504034 0.0291004i
\(438\) −7.28053 + 4.49861i −0.347877 + 0.214952i
\(439\) 4.07497 7.05805i 0.194488 0.336862i −0.752245 0.658884i \(-0.771029\pi\)
0.946732 + 0.322021i \(0.104362\pi\)
\(440\) −24.1074 13.7432i −1.14928 0.655180i
\(441\) 1.32017 1.78828i 0.0628651 0.0851563i
\(442\) 5.04788 0.150856i 0.240103 0.00717547i
\(443\) −13.7175 7.91978i −0.651737 0.376280i 0.137385 0.990518i \(-0.456130\pi\)
−0.789121 + 0.614237i \(0.789464\pi\)
\(444\) 14.2477 + 21.5885i 0.676168 + 1.02455i
\(445\) 0.685321 8.12399i 0.0324873 0.385114i
\(446\) −4.69318 + 8.72047i −0.222228 + 0.412926i
\(447\) 20.0318i 0.947473i
\(448\) 21.0059 2.59879i 0.992434 0.122781i
\(449\) 35.2873 1.66531 0.832656 0.553790i \(-0.186819\pi\)
0.832656 + 0.553790i \(0.186819\pi\)
\(450\) 0.309857 2.22387i 0.0146068 0.104834i
\(451\) −15.0122 + 8.66730i −0.706897 + 0.408127i
\(452\) 15.5411 10.2566i 0.730992 0.482431i
\(453\) 8.79617 + 5.07847i 0.413280 + 0.238607i
\(454\) −0.866944 29.0094i −0.0406877 1.36148i
\(455\) −15.1159 + 6.09497i −0.708643 + 0.285736i
\(456\) 20.5920 1.85058i 0.964310 0.0866614i
\(457\) 8.94810 + 5.16619i 0.418574 + 0.241664i 0.694467 0.719524i \(-0.255640\pi\)
−0.275893 + 0.961188i \(0.588973\pi\)
\(458\) −30.0577 + 18.5726i −1.40450 + 0.867838i
\(459\) 3.52152 + 6.09945i 0.164370 + 0.284698i
\(460\) −0.583618 1.07036i −0.0272113 0.0499058i
\(461\) −17.9765 −0.837247 −0.418624 0.908160i \(-0.637487\pi\)
−0.418624 + 0.908160i \(0.637487\pi\)
\(462\) −23.6310 + 12.8273i −1.09941 + 0.596779i
\(463\) 10.7604 0.500076 0.250038 0.968236i \(-0.419557\pi\)
0.250038 + 0.968236i \(0.419557\pi\)
\(464\) 36.2027 + 15.4813i 1.68067 + 0.718702i
\(465\) 16.6207 + 1.40209i 0.770768 + 0.0650203i
\(466\) 3.09970 + 5.01653i 0.143591 + 0.232386i
\(467\) −6.90606 + 11.9616i −0.319574 + 0.553519i −0.980399 0.197021i \(-0.936873\pi\)
0.660825 + 0.750540i \(0.270207\pi\)
\(468\) −0.104481 1.74649i −0.00482962 0.0807314i
\(469\) −22.7135 + 11.4645i −1.04881 + 0.529380i
\(470\) 14.4078 22.0929i 0.664580 1.01907i
\(471\) 13.8399 + 7.99046i 0.637708 + 0.368181i
\(472\) −6.23435 8.85897i −0.286959 0.407767i
\(473\) −16.9608 + 9.79230i −0.779856 + 0.450250i
\(474\) 15.6201 29.0240i 0.717456 1.33312i
\(475\) 20.9218 7.76251i 0.959956 0.356168i
\(476\) −3.40813 + 5.95227i −0.156211 + 0.272822i
\(477\) −3.42958 −0.157030
\(478\) 17.7849 33.0465i 0.813464 1.51151i
\(479\) −13.2230 22.9030i −0.604176 1.04646i −0.992181 0.124807i \(-0.960169\pi\)
0.388005 0.921657i \(-0.373164\pi\)
\(480\) −1.35024 20.6729i −0.0616296 0.943586i
\(481\) 18.8399 + 10.8772i 0.859025 + 0.495959i
\(482\) −42.7531 + 1.27767i −1.94735 + 0.0581964i
\(483\) −1.17941 0.0663104i −0.0536651 0.00301723i
\(484\) −16.4727 + 0.985449i −0.748758 + 0.0447931i
\(485\) −0.0189521 0.0403154i −0.000860572 0.00183063i
\(486\) 3.95283 2.44244i 0.179304 0.110791i
\(487\) 4.61070 + 7.98597i 0.208931 + 0.361879i 0.951378 0.308026i \(-0.0996683\pi\)
−0.742447 + 0.669905i \(0.766335\pi\)
\(488\) 24.3232 + 11.2722i 1.10106 + 0.510270i
\(489\) 21.9409i 0.992204i
\(490\) 3.67105 21.8294i 0.165841 0.986152i
\(491\) −5.89733 −0.266143 −0.133071 0.991106i \(-0.542484\pi\)
−0.133071 + 0.991106i \(0.542484\pi\)
\(492\) −11.5740 5.78990i −0.521798 0.261029i
\(493\) −11.0499 + 6.37964i −0.497661 + 0.287325i
\(494\) 14.7924 9.14017i 0.665541 0.411236i
\(495\) −1.32539 2.81940i −0.0595719 0.126722i
\(496\) −18.0880 + 2.17194i −0.812174 + 0.0975228i
\(497\) 0.210964 3.75226i 0.00946304 0.168312i
\(498\) 0.888075 + 29.7165i 0.0397956 + 1.33163i
\(499\) −5.74782 + 9.95552i −0.257308 + 0.445670i −0.965520 0.260330i \(-0.916169\pi\)
0.708212 + 0.706000i \(0.249502\pi\)
\(500\) −7.26434 21.1478i −0.324871 0.945758i
\(501\) −1.34752 + 0.777990i −0.0602027 + 0.0347580i
\(502\) −14.3476 + 26.6594i −0.640363 + 1.18987i
\(503\) 34.0508i 1.51825i −0.650944 0.759125i \(-0.725627\pi\)
0.650944 0.759125i \(-0.274373\pi\)
\(504\) 2.09650 + 1.11861i 0.0933856 + 0.0498270i
\(505\) −8.38673 + 12.0571i −0.373205 + 0.536533i
\(506\) −1.48951 0.801625i −0.0662169 0.0356366i
\(507\) −4.43059 7.67400i −0.196769 0.340815i
\(508\) 3.18341 + 4.82359i 0.141241 + 0.214012i
\(509\) 3.48710 6.03983i 0.154563 0.267711i −0.778337 0.627847i \(-0.783936\pi\)
0.932900 + 0.360136i \(0.117270\pi\)
\(510\) 5.62331 + 3.66721i 0.249004 + 0.162387i
\(511\) −4.40495 8.72713i −0.194864 0.386065i
\(512\) 6.01111 + 21.8144i 0.265656 + 0.964068i
\(513\) 21.0014 + 12.1252i 0.927234 + 0.535339i
\(514\) −11.8030 + 7.29305i −0.520609 + 0.321682i
\(515\) −2.01486 + 23.8847i −0.0887854 + 1.05249i
\(516\) −13.0763 6.54141i −0.575653 0.287970i
\(517\) 36.5958i 1.60948i
\(518\) −25.9672 + 14.0954i −1.14093 + 0.619316i
\(519\) 11.6982i 0.513494i
\(520\) −8.79427 15.0415i −0.385654 0.659614i
\(521\) 11.7331 6.77412i 0.514037 0.296780i −0.220454 0.975397i \(-0.570754\pi\)
0.734492 + 0.678618i \(0.237421\pi\)
\(522\) 2.32358 + 3.76047i 0.101700 + 0.164591i
\(523\) 19.7080 34.1352i 0.861769 1.49263i −0.00845156 0.999964i \(-0.502690\pi\)
0.870220 0.492663i \(-0.163976\pi\)
\(524\) −0.0263821 0.441002i −0.00115251 0.0192652i
\(525\) −21.1227 4.82294i −0.921871 0.210490i
\(526\) 0.525151 + 17.5724i 0.0228977 + 0.766195i
\(527\) 2.95179 5.11266i 0.128582 0.222711i
\(528\) −17.2375 23.0024i −0.750166 1.00105i
\(529\) 11.4628 + 19.8542i 0.498384 + 0.863227i
\(530\) −30.4612 + 15.4470i −1.32315 + 0.670977i
\(531\) 1.21617i 0.0527773i
\(532\) 0.0847321 + 23.6162i 0.00367360 + 1.02389i
\(533\) −10.8842 −0.471448
\(534\) 4.00220 7.43655i 0.173192 0.321811i
\(535\) −0.641475 + 7.60423i −0.0277334 + 0.328760i
\(536\) −15.6536 22.2436i −0.676131 0.960778i
\(537\) −2.57809 + 4.46538i −0.111253 + 0.192695i
\(538\) −0.294294 9.84756i −0.0126879 0.424559i
\(539\) −12.2784 28.1522i −0.528866 1.21260i
\(540\) 12.6597 20.7412i 0.544787 0.892561i
\(541\) 31.6007 + 18.2447i 1.35862 + 0.784399i 0.989438 0.144959i \(-0.0463049\pi\)
0.369181 + 0.929358i \(0.379638\pi\)
\(542\) −32.2402 + 19.9211i −1.38483 + 0.855684i
\(543\) 13.4773 + 23.3433i 0.578365 + 1.00176i
\(544\) −6.82505 2.68036i −0.292621 0.114920i
\(545\) 16.4010 + 11.4083i 0.702542 + 0.488678i
\(546\) −16.8769 0.443764i −0.722263 0.0189913i
\(547\) 2.03370i 0.0869549i 0.999054 + 0.0434775i \(0.0138437\pi\)
−0.999054 + 0.0434775i \(0.986156\pi\)
\(548\) 3.75286 + 1.87737i 0.160314 + 0.0801971i
\(549\) 1.50485 + 2.60648i 0.0642255 + 0.111242i
\(550\) −24.4707 19.0719i −1.04343 0.813230i
\(551\) −21.9661 + 38.0464i −0.935788 + 1.62083i
\(552\) −0.113034 1.25777i −0.00481105 0.0535341i
\(553\) 31.4972 + 20.6253i 1.33940 + 0.877078i
\(554\) 0.725852 + 24.2882i 0.0308385 + 1.03191i
\(555\) 12.3032 + 26.1717i 0.522244 + 1.11093i
\(556\) −26.8410 + 17.7142i −1.13831 + 0.751249i
\(557\) 12.2222 + 21.1695i 0.517871 + 0.896980i 0.999784 + 0.0207606i \(0.00660877\pi\)
−0.481913 + 0.876219i \(0.660058\pi\)
\(558\) −1.80103 0.969276i −0.0762435 0.0410327i
\(559\) −12.2970 −0.520107
\(560\) 23.6592 + 0.492621i 0.999783 + 0.0208171i
\(561\) 9.31475 0.393269
\(562\) 30.2855 + 16.2990i 1.27752 + 0.687533i
\(563\) 14.5272 + 25.1619i 0.612250 + 1.06045i 0.990860 + 0.134892i \(0.0430689\pi\)
−0.378610 + 0.925556i \(0.623598\pi\)
\(564\) 22.8029 15.0492i 0.960177 0.633686i
\(565\) 18.8404 8.85683i 0.792623 0.372610i
\(566\) 0.478788 + 16.0211i 0.0201250 + 0.673416i
\(567\) −9.47362 18.7692i −0.397855 0.788233i
\(568\) 4.00154 0.359614i 0.167901 0.0150891i
\(569\) −11.1856 + 19.3740i −0.468923 + 0.812199i −0.999369 0.0355198i \(-0.988691\pi\)
0.530446 + 0.847719i \(0.322025\pi\)
\(570\) 23.0813 + 1.25414i 0.966770 + 0.0525302i
\(571\) −21.2867 36.8696i −0.890820 1.54295i −0.838895 0.544294i \(-0.816798\pi\)
−0.0519252 0.998651i \(-0.516536\pi\)
\(572\) −21.6207 10.8157i −0.904008 0.452229i
\(573\) 26.3022i 1.09879i
\(574\) 7.72524 12.6034i 0.322445 0.526055i
\(575\) −0.474136 1.27791i −0.0197728 0.0532924i
\(576\) −0.857560 + 2.39121i −0.0357317 + 0.0996336i
\(577\) 16.2853 + 28.2069i 0.677965 + 1.17427i 0.975593 + 0.219588i \(0.0704713\pi\)
−0.297628 + 0.954682i \(0.596195\pi\)
\(578\) −18.4309 + 11.3884i −0.766625 + 0.473695i
\(579\) −23.3615 13.4878i −0.970873 0.560534i
\(580\) 37.5752 + 22.9345i 1.56022 + 0.952304i
\(581\) −33.9058 1.90629i −1.40665 0.0790864i
\(582\) −0.00137842 0.0461243i −5.71374e−5 0.00191191i
\(583\) −23.6940 + 41.0392i −0.981305 + 1.69967i
\(584\) 8.54659 6.01452i 0.353660 0.248883i
\(585\) 0.164430 1.94920i 0.00679835 0.0805895i
\(586\) 9.09117 16.8924i 0.375553 0.697820i
\(587\) 21.4007 0.883301 0.441650 0.897187i \(-0.354393\pi\)
0.441650 + 0.897187i \(0.354393\pi\)
\(588\) 12.4925 19.2276i 0.515180 0.792933i
\(589\) 20.3270i 0.837559i
\(590\) −5.47770 10.8019i −0.225513 0.444706i
\(591\) 3.82535 + 6.62569i 0.157354 + 0.272545i
\(592\) −18.9416 25.2765i −0.778496 1.03886i
\(593\) −3.83778 + 6.64723i −0.157599 + 0.272969i −0.934002 0.357267i \(-0.883709\pi\)
0.776403 + 0.630236i \(0.217042\pi\)
\(594\) −1.00712 33.7001i −0.0413228 1.38273i
\(595\) −4.72542 + 6.03958i −0.193723 + 0.247599i
\(596\) 1.46076 + 24.4179i 0.0598350 + 1.00020i
\(597\) 9.55079 16.5425i 0.390888 0.677038i
\(598\) −0.558284 0.903523i −0.0228299 0.0369478i
\(599\) 26.5598 15.3343i 1.08520 0.626543i 0.152909 0.988240i \(-0.451136\pi\)
0.932296 + 0.361697i \(0.117803\pi\)
\(600\) 1.82073 23.0906i 0.0743311 0.942671i
\(601\) 4.23258i 0.172650i 0.996267 + 0.0863252i \(0.0275124\pi\)
−0.996267 + 0.0863252i \(0.972488\pi\)
\(602\) 8.72797 14.2393i 0.355725 0.580350i
\(603\) 3.05363i 0.124353i
\(604\) −11.0925 5.54900i −0.451346 0.225785i
\(605\) −18.3846 1.55089i −0.747442 0.0630525i
\(606\) −12.9423 + 7.99698i −0.525743 + 0.324855i
\(607\) 0.700185 + 0.404252i 0.0284196 + 0.0164081i 0.514142 0.857705i \(-0.328110\pi\)
−0.485723 + 0.874113i \(0.661444\pi\)
\(608\) −24.9658 + 3.75738i −1.01250 + 0.152382i
\(609\) 38.0788 19.2200i 1.54303 0.778834i
\(610\) 25.1056 + 16.3725i 1.01650 + 0.662903i
\(611\) 11.4891 19.8997i 0.464799 0.805055i
\(612\) −0.453440 0.687064i −0.0183292 0.0277729i
\(613\) 15.9214 + 27.5766i 0.643058 + 1.11381i 0.984746 + 0.173995i \(0.0556678\pi\)
−0.341689 + 0.939813i \(0.610999\pi\)
\(614\) 25.1022 + 13.5095i 1.01304 + 0.545198i
\(615\) −11.8780 8.26219i −0.478968 0.333164i
\(616\) 27.8697 17.3591i 1.12290 0.699417i
\(617\) 23.7720i 0.957025i 0.878081 + 0.478513i \(0.158824\pi\)
−0.878081 + 0.478513i \(0.841176\pi\)
\(618\) −11.7666 + 21.8637i −0.473321 + 0.879485i
\(619\) −12.8725 + 7.43195i −0.517390 + 0.298715i −0.735866 0.677127i \(-0.763225\pi\)
0.218476 + 0.975842i \(0.429891\pi\)
\(620\) −20.3622 0.497067i −0.817765 0.0199627i
\(621\) 0.740608 1.28277i 0.0297196 0.0514758i
\(622\) 0.562371 + 18.8179i 0.0225490 + 0.754529i
\(623\) 8.07025 + 5.28464i 0.323328 + 0.211725i
\(624\) −2.15172 17.9196i −0.0861378 0.717359i
\(625\) −4.64694 24.5643i −0.185878 0.982573i
\(626\) 32.2180 19.9074i 1.28769 0.795658i
\(627\) 27.7753 16.0361i 1.10924 0.640419i
\(628\) −17.4529 8.73079i −0.696446 0.348396i
\(629\) 10.2356 0.408121
\(630\) 2.14037 + 1.57388i 0.0852744 + 0.0627047i
\(631\) 13.4670i 0.536112i −0.963403 0.268056i \(-0.913619\pi\)
0.963403 0.268056i \(-0.0863812\pi\)
\(632\) −16.9237 + 36.5180i −0.673190 + 1.45261i
\(633\) −12.1027 20.9624i −0.481038 0.833182i
\(634\) −37.0365 + 22.8847i −1.47091 + 0.908867i
\(635\) 2.74895 + 5.84762i 0.109089 + 0.232056i
\(636\) −35.3152 + 2.11267i −1.40034 + 0.0837729i
\(637\) 2.16165 19.1630i 0.0856476 0.759266i
\(638\) 61.0517 1.82452i 2.41706 0.0722336i
\(639\) 0.390625 + 0.225527i 0.0154529 + 0.00892172i
\(640\) 3.15339 + 25.1009i 0.124649 + 0.992201i
\(641\) 17.8399 + 30.8996i 0.704634 + 1.22046i 0.966823 + 0.255445i \(0.0822221\pi\)
−0.262189 + 0.965016i \(0.584445\pi\)
\(642\) −3.74615 + 6.96078i −0.147849 + 0.274720i
\(643\) −18.9130 −0.745857 −0.372929 0.927860i \(-0.621646\pi\)
−0.372929 + 0.927860i \(0.621646\pi\)
\(644\) 1.44249 0.00517546i 0.0568419 0.000203942i
\(645\) −13.4198 9.33461i −0.528403 0.367550i
\(646\) 3.87722 7.20432i 0.152547 0.283450i
\(647\) 20.2631 11.6989i 0.796625 0.459932i −0.0456648 0.998957i \(-0.514541\pi\)
0.842290 + 0.539025i \(0.181207\pi\)
\(648\) 18.3809 12.9353i 0.722072 0.508146i
\(649\) −14.5530 8.40217i −0.571254 0.329814i
\(650\) −7.31886 18.0532i −0.287069 0.708104i
\(651\) −10.8118 + 16.5108i −0.423746 + 0.647109i
\(652\) −1.59997 26.7450i −0.0626598 1.04742i
\(653\) 14.7067 25.4728i 0.575519 0.996829i −0.420466 0.907308i \(-0.638133\pi\)
0.995985 0.0895203i \(-0.0285334\pi\)
\(654\) 10.8781 + 17.6051i 0.425369 + 0.688414i
\(655\) 0.0415199 0.492188i 0.00162232 0.0192314i
\(656\) 14.5304 + 6.21362i 0.567318 + 0.242601i
\(657\) 1.17329 0.0457742
\(658\) 14.8883 + 27.4279i 0.580406 + 1.06925i
\(659\) 33.7483 1.31465 0.657323 0.753609i \(-0.271689\pi\)
0.657323 + 0.753609i \(0.271689\pi\)
\(660\) −15.3846 28.2155i −0.598846 1.09829i
\(661\) 21.6521 + 37.5025i 0.842168 + 1.45868i 0.888058 + 0.459731i \(0.152054\pi\)
−0.0458899 + 0.998947i \(0.514612\pi\)
\(662\) 5.54050 3.42345i 0.215338 0.133056i
\(663\) 5.06507 + 2.92432i 0.196711 + 0.113571i
\(664\) −3.24950 36.1583i −0.126105 1.40321i
\(665\) −3.69292 + 26.1444i −0.143205 + 1.01384i
\(666\) −0.105928 3.54453i −0.00410462 0.137348i
\(667\) 2.32389 + 1.34170i 0.0899813 + 0.0519507i
\(668\) 1.58583 1.04660i 0.0613577 0.0404941i
\(669\) −9.93244 + 5.73450i −0.384010 + 0.221708i
\(670\) −13.7537 27.1220i −0.531353 1.04781i
\(671\) 41.5863 1.60542
\(672\) 22.2773 + 10.2271i 0.859364 + 0.394521i
\(673\) 8.11472i 0.312799i 0.987694 + 0.156400i \(0.0499888\pi\)
−0.987694 + 0.156400i \(0.950011\pi\)
\(674\) −8.24154 + 15.3137i −0.317452 + 0.589863i
\(675\) 17.3334 20.9198i 0.667161 0.805204i
\(676\) 5.96029 + 9.03118i 0.229242 + 0.347353i
\(677\) −37.9364 21.9026i −1.45802 0.841786i −0.459102 0.888383i \(-0.651829\pi\)
−0.998914 + 0.0465975i \(0.985162\pi\)
\(678\) 21.5551 0.644172i 0.827818 0.0247393i
\(679\) 0.0526267 + 0.00295884i 0.00201963 + 0.000113550i
\(680\) −7.12198 4.06010i −0.273115 0.155698i
\(681\) 16.8056 29.1082i 0.643992 1.11543i
\(682\) −24.0414 + 14.8551i −0.920591 + 0.568830i
\(683\) 20.0699 11.5874i 0.767954 0.443378i −0.0641905 0.997938i \(-0.520447\pi\)
0.832144 + 0.554559i \(0.187113\pi\)
\(684\) −2.53493 1.26810i −0.0969255 0.0484869i
\(685\) 3.85144 + 2.67900i 0.147156 + 0.102359i
\(686\) 20.6555 + 16.1043i 0.788632 + 0.614865i
\(687\) −40.9194 −1.56117
\(688\) 16.4165 + 7.02014i 0.625872 + 0.267640i
\(689\) −25.7681 + 14.8772i −0.981687 + 0.566777i
\(690\) 0.0766034 1.40981i 0.00291624 0.0536707i
\(691\) 25.5204 + 14.7342i 0.970842 + 0.560516i 0.899493 0.436935i \(-0.143936\pi\)
0.0713493 + 0.997451i \(0.477269\pi\)
\(692\) −0.853054 14.2596i −0.0324282 0.542067i
\(693\) 3.68037 + 0.206922i 0.139806 + 0.00786033i
\(694\) 11.3239 0.338412i 0.429847 0.0128460i
\(695\) −32.5393 + 15.2966i −1.23428 + 0.580233i
\(696\) 26.2430 + 37.2911i 0.994737 + 1.41352i
\(697\) −4.43501 + 2.56055i −0.167988 + 0.0969878i
\(698\) 19.0850 + 10.2711i 0.722377 + 0.388769i
\(699\) 6.82932i 0.258308i
\(700\) 26.0994 + 4.33864i 0.986463 + 0.163985i
\(701\) 13.3928i 0.505839i 0.967487 + 0.252919i \(0.0813907\pi\)
−0.967487 + 0.252919i \(0.918609\pi\)
\(702\) 10.0323 18.6413i 0.378646 0.703569i
\(703\) 30.5212 17.6214i 1.15113 0.664605i
\(704\) 22.6891 + 26.7819i 0.855129 + 1.00938i
\(705\) 27.6439 12.9953i 1.04113 0.489432i
\(706\) 1.24292 + 41.5901i 0.0467778 + 1.56526i
\(707\) −7.83048 15.5138i −0.294496 0.583457i
\(708\) −0.749177 12.5232i −0.0281558 0.470650i
\(709\) −24.6438 14.2281i −0.925519 0.534349i −0.0401274 0.999195i \(-0.512776\pi\)
−0.885392 + 0.464846i \(0.846110\pi\)
\(710\) 4.48527 + 0.243711i 0.168329 + 0.00914631i
\(711\) −3.91327 + 2.25933i −0.146759 + 0.0847315i
\(712\) −4.33622 + 9.35667i −0.162507 + 0.350656i
\(713\) −1.24158 −0.0464975
\(714\) −6.98123 + 3.78952i −0.261266 + 0.141819i
\(715\) −22.1886 15.4341i −0.829807 0.577202i
\(716\) 2.81695 5.63110i 0.105274 0.210444i
\(717\) 37.6393 21.7310i 1.40566 0.811561i
\(718\) 2.65079 + 4.29002i 0.0989264 + 0.160102i
\(719\) −9.06118 + 15.6944i −0.337925 + 0.585303i −0.984042 0.177935i \(-0.943058\pi\)
0.646117 + 0.763238i \(0.276392\pi\)
\(720\) −1.33228 + 2.50831i −0.0496512 + 0.0934792i
\(721\) −23.7267 15.5370i −0.883630 0.578627i
\(722\) −0.0388252 1.29916i −0.00144492 0.0483496i
\(723\) −42.8987 24.7675i −1.59542 0.921115i
\(724\) −18.1304 27.4717i −0.673812 1.02098i
\(725\) 37.8987 + 31.4014i 1.40752 + 1.16622i
\(726\) −16.8290 9.05701i −0.624582 0.336137i
\(727\) 29.8811i 1.10823i −0.832441 0.554114i \(-0.813057\pi\)
0.832441 0.554114i \(-0.186943\pi\)
\(728\) 20.6045 0.689764i 0.763653 0.0255643i
\(729\) 29.2209 1.08225
\(730\) 10.4210 5.28454i 0.385698 0.195590i
\(731\) −5.01066 + 2.89291i −0.185326 + 0.106998i
\(732\) 17.1014 + 25.9125i 0.632087 + 0.957754i
\(733\) 15.0078 + 8.66474i 0.554325 + 0.320040i 0.750864 0.660456i \(-0.229637\pi\)
−0.196540 + 0.980496i \(0.562970\pi\)
\(734\) −13.3071 + 0.397681i −0.491173 + 0.0146787i
\(735\) 16.9056 19.2718i 0.623573 0.710852i
\(736\) 0.229502 + 1.52492i 0.00845956 + 0.0562093i
\(737\) −36.5405 21.0966i −1.34599 0.777105i
\(738\) 0.932600 + 1.50931i 0.0343295 + 0.0555586i
\(739\) 2.12219 + 3.67574i 0.0780659 + 0.135214i 0.902415 0.430867i \(-0.141792\pi\)
−0.824350 + 0.566081i \(0.808459\pi\)
\(740\) −16.9056 31.0050i −0.621462 1.13977i
\(741\) 20.1378 0.739780
\(742\) 1.06222 40.3976i 0.0389954 1.48304i
\(743\) −30.6848 −1.12571 −0.562857 0.826554i \(-0.690298\pi\)
−0.562857 + 0.826554i \(0.690298\pi\)
\(744\) −19.1427 8.87140i −0.701805 0.325241i
\(745\) −2.29892 + 27.2521i −0.0842259 + 0.998438i
\(746\) 7.11867 4.39860i 0.260633 0.161044i
\(747\) 2.03789 3.52972i 0.0745624 0.129146i
\(748\) −11.3543 + 0.679249i −0.415153 + 0.0248358i
\(749\) −7.55393 4.94654i −0.276015 0.180743i
\(750\) 5.71700 25.2573i 0.208755 0.922266i
\(751\) −14.4254 8.32852i −0.526391 0.303912i 0.213155 0.977018i \(-0.431626\pi\)
−0.739546 + 0.673107i \(0.764960\pi\)
\(752\) −26.6983 + 20.0071i −0.973588 + 0.729585i
\(753\) −30.3645 + 17.5310i −1.10655 + 0.638864i
\(754\) 33.7708 + 18.1748i 1.22986 + 0.661886i
\(755\) −11.3838 7.91842i −0.414300 0.288181i
\(756\) 14.4650 + 24.8479i 0.526088 + 0.903708i
\(757\) −19.7599 −0.718184 −0.359092 0.933302i \(-0.616914\pi\)
−0.359092 + 0.933302i \(0.616914\pi\)
\(758\) −12.5677 6.76368i −0.456480 0.245668i
\(759\) −0.979488 1.69652i −0.0355532 0.0615799i
\(760\) −28.2266 + 0.154390i −1.02388 + 0.00560030i
\(761\) −8.58074 4.95409i −0.311052 0.179586i 0.336345 0.941739i \(-0.390809\pi\)
−0.647397 + 0.762153i \(0.724142\pi\)
\(762\) 0.199936 + 6.69018i 0.00724290 + 0.242360i
\(763\) −21.1031 + 10.6517i −0.763985 + 0.385616i
\(764\) −1.91801 32.0612i −0.0693911 1.15993i
\(765\) −0.391556 0.832925i −0.0141567 0.0301145i
\(766\) 15.7735 + 25.5278i 0.569920 + 0.922355i
\(767\) −5.27564 9.13767i −0.190492 0.329942i
\(768\) −7.35748 + 25.1511i −0.265490 + 0.907562i
\(769\) 32.4947i 1.17179i −0.810387 0.585895i \(-0.800743\pi\)
0.810387 0.585895i \(-0.199257\pi\)
\(770\) 33.6206 14.7387i 1.21160 0.531147i
\(771\) −16.0682 −0.578681
\(772\) 29.4602 + 14.7374i 1.06030 + 0.530412i
\(773\) 15.9884 9.23089i 0.575062 0.332012i −0.184107 0.982906i \(-0.558939\pi\)
0.759168 + 0.650894i \(0.225606\pi\)
\(774\) 1.05365 +