Properties

Label 392.2.z.a.37.17
Level $392$
Weight $2$
Character 392.37
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 37.17
Character \(\chi\) \(=\) 392.37
Dual form 392.2.z.a.53.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.767597 - 1.18777i) q^{2} +(-1.83996 - 1.98301i) q^{3} +(-0.821590 + 1.82346i) q^{4} +(-0.819891 + 2.65802i) q^{5} +(-0.943005 + 3.70760i) q^{6} +(2.51957 - 0.807328i) q^{7} +(2.79649 - 0.423820i) q^{8} +(-0.322667 + 4.30570i) q^{9} +O(q^{10})\) \(q+(-0.767597 - 1.18777i) q^{2} +(-1.83996 - 1.98301i) q^{3} +(-0.821590 + 1.82346i) q^{4} +(-0.819891 + 2.65802i) q^{5} +(-0.943005 + 3.70760i) q^{6} +(2.51957 - 0.807328i) q^{7} +(2.79649 - 0.423820i) q^{8} +(-0.322667 + 4.30570i) q^{9} +(3.78646 - 1.06645i) q^{10} +(0.808795 - 0.0606108i) q^{11} +(5.12762 - 1.72587i) q^{12} +(0.864213 - 1.79456i) q^{13} +(-2.89293 - 2.37296i) q^{14} +(6.77944 - 3.26480i) q^{15} +(-2.64998 - 2.99626i) q^{16} +(-2.72664 - 0.410975i) q^{17} +(5.36185 - 2.92179i) q^{18} +(5.29583 + 3.05755i) q^{19} +(-4.17317 - 3.67884i) q^{20} +(-6.23684 - 3.51087i) q^{21} +(-0.692821 - 0.914137i) q^{22} +(5.21964 - 0.786734i) q^{23} +(-5.98588 - 4.76565i) q^{24} +(-2.26166 - 1.54197i) q^{25} +(-2.79488 + 0.351011i) q^{26} +(2.78703 - 2.22258i) q^{27} +(-0.597923 + 5.25761i) q^{28} +(-1.35645 - 1.08173i) q^{29} +(-9.08171 - 5.54635i) q^{30} +(-4.70362 - 8.14691i) q^{31} +(-1.52475 + 5.44749i) q^{32} +(-1.60834 - 1.49232i) q^{33} +(1.60482 + 3.55408i) q^{34} +(0.0801256 + 7.35898i) q^{35} +(-7.58615 - 4.12589i) q^{36} +(10.2554 - 4.02494i) q^{37} +(-0.433402 - 8.63719i) q^{38} +(-5.14873 + 1.58817i) q^{39} +(-1.16630 + 7.78062i) q^{40} +(0.479000 + 2.09864i) q^{41} +(0.617285 + 10.1029i) q^{42} +(-1.35673 - 0.309665i) q^{43} +(-0.553977 + 1.52460i) q^{44} +(-11.1801 - 4.38786i) q^{45} +(-4.94104 - 5.59583i) q^{46} +(4.15496 - 2.83281i) q^{47} +(-1.06575 + 10.7679i) q^{48} +(5.69644 - 4.06824i) q^{49} +(-0.0954648 + 3.86994i) q^{50} +(4.20194 + 6.16312i) q^{51} +(2.56226 + 3.05024i) q^{52} +(2.81358 + 1.10425i) q^{53} +(-4.77924 - 1.60430i) q^{54} +(-0.502019 + 2.19949i) q^{55} +(6.70379 - 3.32553i) q^{56} +(-3.68098 - 16.1274i) q^{57} +(-0.243641 + 2.44148i) q^{58} +(-2.78489 - 9.02838i) q^{59} +(0.383310 + 15.0443i) q^{60} +(-6.37127 + 2.50054i) q^{61} +(-6.06616 + 11.8404i) q^{62} +(2.66313 + 11.1090i) q^{63} +(7.64075 - 2.37042i) q^{64} +(4.06141 + 3.76843i) q^{65} +(-0.537977 + 3.05584i) q^{66} +(13.1478 - 7.59089i) q^{67} +(2.98957 - 4.63425i) q^{68} +(-11.1640 - 8.90301i) q^{69} +(8.67927 - 5.74390i) q^{70} +(8.16537 + 10.2391i) q^{71} +(0.922504 + 12.1776i) q^{72} +(9.40747 + 6.41390i) q^{73} +(-12.6527 - 9.09149i) q^{74} +(1.10362 + 7.32205i) q^{75} +(-9.92631 + 7.14466i) q^{76} +(1.98888 - 0.805677i) q^{77} +(5.83854 + 4.89643i) q^{78} +(5.74880 - 9.95721i) q^{79} +(10.1368 - 4.58709i) q^{80} +(3.27320 + 0.493356i) q^{81} +(2.12502 - 2.17985i) q^{82} +(2.46351 + 5.11554i) q^{83} +(11.5260 - 8.48812i) q^{84} +(3.32792 - 6.91051i) q^{85} +(0.673611 + 1.84918i) q^{86} +(0.350731 + 4.68018i) q^{87} +(2.23610 - 0.512282i) q^{88} +(-0.395591 + 5.27880i) q^{89} +(3.37003 + 16.6475i) q^{90} +(0.728646 - 5.21921i) q^{91} +(-2.85383 + 10.1641i) q^{92} +(-7.50090 + 24.3173i) q^{93} +(-6.55406 - 2.76068i) q^{94} +(-12.4690 + 11.5696i) q^{95} +(13.6079 - 6.99957i) q^{96} +5.90936 q^{97} +(-9.20470 - 3.64329i) q^{98} +3.50199i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{16}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.767597 1.18777i −0.542773 0.839879i
\(3\) −1.83996 1.98301i −1.06230 1.14489i −0.989051 0.147576i \(-0.952853\pi\)
−0.0732512 0.997314i \(-0.523337\pi\)
\(4\) −0.821590 + 1.82346i −0.410795 + 0.911728i
\(5\) −0.819891 + 2.65802i −0.366666 + 1.18870i 0.564909 + 0.825153i \(0.308911\pi\)
−0.931575 + 0.363549i \(0.881565\pi\)
\(6\) −0.943005 + 3.70760i −0.384980 + 1.51362i
\(7\) 2.51957 0.807328i 0.952307 0.305141i
\(8\) 2.79649 0.423820i 0.988710 0.149843i
\(9\) −0.322667 + 4.30570i −0.107556 + 1.43523i
\(10\) 3.78646 1.06645i 1.19738 0.337240i
\(11\) 0.808795 0.0606108i 0.243861 0.0182749i 0.0477611 0.998859i \(-0.484791\pi\)
0.196100 + 0.980584i \(0.437172\pi\)
\(12\) 5.12762 1.72587i 1.48022 0.498216i
\(13\) 0.864213 1.79456i 0.239689 0.497720i −0.746073 0.665864i \(-0.768063\pi\)
0.985762 + 0.168144i \(0.0537773\pi\)
\(14\) −2.89293 2.37296i −0.773169 0.634201i
\(15\) 6.77944 3.26480i 1.75044 0.842969i
\(16\) −2.64998 2.99626i −0.662495 0.749066i
\(17\) −2.72664 0.410975i −0.661307 0.0996760i −0.190191 0.981747i \(-0.560911\pi\)
−0.471116 + 0.882071i \(0.656149\pi\)
\(18\) 5.36185 2.92179i 1.26380 0.688671i
\(19\) 5.29583 + 3.05755i 1.21495 + 0.701450i 0.963833 0.266507i \(-0.0858696\pi\)
0.251114 + 0.967957i \(0.419203\pi\)
\(20\) −4.17317 3.67884i −0.933149 0.822613i
\(21\) −6.23684 3.51087i −1.36099 0.766134i
\(22\) −0.692821 0.914137i −0.147710 0.194895i
\(23\) 5.21964 0.786734i 1.08837 0.164045i 0.419743 0.907643i \(-0.362120\pi\)
0.668627 + 0.743598i \(0.266882\pi\)
\(24\) −5.98588 4.76565i −1.22186 0.972785i
\(25\) −2.26166 1.54197i −0.452331 0.308394i
\(26\) −2.79488 + 0.351011i −0.548122 + 0.0688389i
\(27\) 2.78703 2.22258i 0.536365 0.427737i
\(28\) −0.597923 + 5.25761i −0.112997 + 0.993595i
\(29\) −1.35645 1.08173i −0.251886 0.200872i 0.489404 0.872057i \(-0.337214\pi\)
−0.741290 + 0.671185i \(0.765786\pi\)
\(30\) −9.08171 5.54635i −1.65809 1.01262i
\(31\) −4.70362 8.14691i −0.844795 1.46323i −0.885799 0.464070i \(-0.846389\pi\)
0.0410034 0.999159i \(-0.486945\pi\)
\(32\) −1.52475 + 5.44749i −0.269541 + 0.962989i
\(33\) −1.60834 1.49232i −0.279977 0.259780i
\(34\) 1.60482 + 3.55408i 0.275224 + 0.609520i
\(35\) 0.0801256 + 7.35898i 0.0135437 + 1.24390i
\(36\) −7.58615 4.12589i −1.26436 0.687648i
\(37\) 10.2554 4.02494i 1.68597 0.661696i 0.688024 0.725688i \(-0.258478\pi\)
0.997950 + 0.0639917i \(0.0203831\pi\)
\(38\) −0.433402 8.63719i −0.0703071 1.40114i
\(39\) −5.14873 + 1.58817i −0.824457 + 0.254311i
\(40\) −1.16630 + 7.78062i −0.184408 + 1.23022i
\(41\) 0.479000 + 2.09864i 0.0748073 + 0.327752i 0.998460 0.0554788i \(-0.0176685\pi\)
−0.923653 + 0.383231i \(0.874811\pi\)
\(42\) 0.617285 + 10.1029i 0.0952492 + 1.55890i
\(43\) −1.35673 0.309665i −0.206899 0.0472234i 0.117815 0.993036i \(-0.462411\pi\)
−0.324714 + 0.945812i \(0.605268\pi\)
\(44\) −0.553977 + 1.52460i −0.0835152 + 0.229842i
\(45\) −11.1801 4.38786i −1.66663 0.654103i
\(46\) −4.94104 5.59583i −0.728516 0.825060i
\(47\) 4.15496 2.83281i 0.606064 0.413207i −0.221033 0.975266i \(-0.570943\pi\)
0.827097 + 0.562059i \(0.189991\pi\)
\(48\) −1.06575 + 10.7679i −0.153828 + 1.55422i
\(49\) 5.69644 4.06824i 0.813777 0.581177i
\(50\) −0.0954648 + 3.86994i −0.0135008 + 0.547292i
\(51\) 4.20194 + 6.16312i 0.588390 + 0.863009i
\(52\) 2.56226 + 3.05024i 0.355322 + 0.422992i
\(53\) 2.81358 + 1.10425i 0.386474 + 0.151680i 0.550620 0.834756i \(-0.314391\pi\)
−0.164145 + 0.986436i \(0.552487\pi\)
\(54\) −4.77924 1.60430i −0.650372 0.218318i
\(55\) −0.502019 + 2.19949i −0.0676922 + 0.296579i
\(56\) 6.70379 3.32553i 0.895832 0.444393i
\(57\) −3.68098 16.1274i −0.487558 2.13613i
\(58\) −0.243641 + 2.44148i −0.0319916 + 0.320581i
\(59\) −2.78489 9.02838i −0.362561 1.17540i −0.934760 0.355280i \(-0.884386\pi\)
0.572199 0.820115i \(-0.306091\pi\)
\(60\) 0.383310 + 15.0443i 0.0494851 + 1.94222i
\(61\) −6.37127 + 2.50054i −0.815757 + 0.320161i −0.736281 0.676676i \(-0.763420\pi\)
−0.0794760 + 0.996837i \(0.525325\pi\)
\(62\) −6.06616 + 11.8404i −0.770403 + 1.50373i
\(63\) 2.66313 + 11.1090i 0.335523 + 1.39960i
\(64\) 7.64075 2.37042i 0.955094 0.296303i
\(65\) 4.06141 + 3.76843i 0.503755 + 0.467417i
\(66\) −0.537977 + 3.05584i −0.0662204 + 0.376148i
\(67\) 13.1478 7.59089i 1.60626 0.927374i 0.616062 0.787698i \(-0.288727\pi\)
0.990197 0.139677i \(-0.0446063\pi\)
\(68\) 2.98957 4.63425i 0.362539 0.561986i
\(69\) −11.1640 8.90301i −1.34399 1.07180i
\(70\) 8.67927 5.74390i 1.03737 0.686528i
\(71\) 8.16537 + 10.2391i 0.969051 + 1.21515i 0.976574 + 0.215180i \(0.0690338\pi\)
−0.00752318 + 0.999972i \(0.502395\pi\)
\(72\) 0.922504 + 12.1776i 0.108718 + 1.43514i
\(73\) 9.40747 + 6.41390i 1.10106 + 0.750690i 0.970584 0.240761i \(-0.0773970\pi\)
0.130476 + 0.991451i \(0.458349\pi\)
\(74\) −12.6527 9.09149i −1.47085 1.05686i
\(75\) 1.10362 + 7.32205i 0.127435 + 0.845477i
\(76\) −9.92631 + 7.14466i −1.13863 + 0.819549i
\(77\) 1.98888 0.805677i 0.226654 0.0918154i
\(78\) 5.83854 + 4.89643i 0.661084 + 0.554411i
\(79\) 5.74880 9.95721i 0.646790 1.12027i −0.337095 0.941471i \(-0.609444\pi\)
0.983885 0.178803i \(-0.0572224\pi\)
\(80\) 10.1368 4.58709i 1.13333 0.512852i
\(81\) 3.27320 + 0.493356i 0.363689 + 0.0548173i
\(82\) 2.12502 2.17985i 0.234669 0.240724i
\(83\) 2.46351 + 5.11554i 0.270406 + 0.561503i 0.991312 0.131529i \(-0.0419886\pi\)
−0.720907 + 0.693032i \(0.756274\pi\)
\(84\) 11.5260 8.48812i 1.25759 0.926129i
\(85\) 3.32792 6.91051i 0.360964 0.749550i
\(86\) 0.673611 + 1.84918i 0.0726374 + 0.199402i
\(87\) 0.350731 + 4.68018i 0.0376023 + 0.501768i
\(88\) 2.23610 0.512282i 0.238369 0.0546094i
\(89\) −0.395591 + 5.27880i −0.0419326 + 0.559551i 0.936186 + 0.351504i \(0.114330\pi\)
−0.978119 + 0.208047i \(0.933289\pi\)
\(90\) 3.37003 + 16.6475i 0.355233 + 1.75480i
\(91\) 0.728646 5.21921i 0.0763828 0.547122i
\(92\) −2.85383 + 10.1641i −0.297532 + 1.05969i
\(93\) −7.50090 + 24.3173i −0.777807 + 2.52159i
\(94\) −6.55406 2.76068i −0.675999 0.284743i
\(95\) −12.4690 + 11.5696i −1.27930 + 1.18701i
\(96\) 13.6079 6.99957i 1.38885 0.714391i
\(97\) 5.90936 0.600005 0.300002 0.953938i \(-0.403013\pi\)
0.300002 + 0.953938i \(0.403013\pi\)
\(98\) −9.20470 3.64329i −0.929815 0.368028i
\(99\) 3.50199i 0.351963i
\(100\) 4.66987 2.85716i 0.466987 0.285716i
\(101\) −4.11974 4.44003i −0.409930 0.441799i 0.494012 0.869455i \(-0.335530\pi\)
−0.903942 + 0.427656i \(0.859339\pi\)
\(102\) 4.09496 9.72173i 0.405462 0.962595i
\(103\) −7.42944 2.29168i −0.732044 0.225806i −0.0937474 0.995596i \(-0.529885\pi\)
−0.638297 + 0.769790i \(0.720361\pi\)
\(104\) 1.65620 5.38473i 0.162403 0.528017i
\(105\) 14.4455 13.6991i 1.40973 1.33690i
\(106\) −0.848102 4.18950i −0.0823750 0.406920i
\(107\) 1.05601 + 0.0791370i 0.102088 + 0.00765047i 0.125676 0.992071i \(-0.459890\pi\)
−0.0235879 + 0.999722i \(0.507509\pi\)
\(108\) 1.76299 + 6.90808i 0.169643 + 0.664731i
\(109\) −4.31368 + 0.323266i −0.413176 + 0.0309632i −0.279697 0.960088i \(-0.590234\pi\)
−0.133479 + 0.991052i \(0.542615\pi\)
\(110\) 2.99783 1.09204i 0.285832 0.104122i
\(111\) −26.8510 12.9308i −2.54858 1.22733i
\(112\) −9.09577 5.40989i −0.859470 0.511186i
\(113\) −13.7715 + 6.63200i −1.29551 + 0.623886i −0.949330 0.314281i \(-0.898237\pi\)
−0.346183 + 0.938167i \(0.612522\pi\)
\(114\) −16.3302 + 16.7515i −1.52946 + 1.56892i
\(115\) −2.18838 + 14.5189i −0.204067 + 1.35390i
\(116\) 3.08693 1.58468i 0.286614 0.147134i
\(117\) 7.44796 + 4.30008i 0.688564 + 0.397543i
\(118\) −8.58596 + 10.2380i −0.790402 + 0.942481i
\(119\) −7.20174 + 1.16581i −0.660183 + 0.106870i
\(120\) 17.5750 12.0033i 1.60437 1.09574i
\(121\) −10.2267 + 1.54142i −0.929697 + 0.140129i
\(122\) 7.86063 + 5.64819i 0.711668 + 0.511363i
\(123\) 3.28027 4.81127i 0.295772 0.433818i
\(124\) 18.7200 1.88343i 1.68110 0.169137i
\(125\) −4.92081 + 3.92421i −0.440130 + 0.350992i
\(126\) 11.1507 11.6904i 0.993384 1.04146i
\(127\) −5.27250 + 6.61150i −0.467858 + 0.586676i −0.958645 0.284604i \(-0.908138\pi\)
0.490787 + 0.871280i \(0.336709\pi\)
\(128\) −8.68053 7.25592i −0.767258 0.641339i
\(129\) 1.88226 + 3.26017i 0.165724 + 0.287042i
\(130\) 1.35851 7.71665i 0.119149 0.676795i
\(131\) −14.6035 + 15.7388i −1.27591 + 1.37511i −0.383722 + 0.923449i \(0.625358\pi\)
−0.892191 + 0.451658i \(0.850833\pi\)
\(132\) 4.04259 1.70666i 0.351862 0.148546i
\(133\) 15.8117 + 3.42823i 1.37104 + 0.297265i
\(134\) −19.1084 9.78981i −1.65072 0.845710i
\(135\) 3.62261 + 9.23027i 0.311785 + 0.794415i
\(136\) −7.79921 + 0.00631655i −0.668777 + 0.000541639i
\(137\) −12.4658 + 3.84518i −1.06502 + 0.328516i −0.777256 0.629184i \(-0.783389\pi\)
−0.287767 + 0.957700i \(0.592913\pi\)
\(138\) −2.00525 + 20.0942i −0.170698 + 1.71053i
\(139\) 12.1524 2.77371i 1.03075 0.235263i 0.326490 0.945201i \(-0.394134\pi\)
0.704264 + 0.709938i \(0.251277\pi\)
\(140\) −13.4846 5.89996i −1.13966 0.498638i
\(141\) −13.2624 3.02707i −1.11690 0.254925i
\(142\) 5.89391 17.5580i 0.494606 1.47344i
\(143\) 0.590202 1.50381i 0.0493551 0.125755i
\(144\) 13.7561 10.4432i 1.14634 0.870268i
\(145\) 3.98739 2.71856i 0.331135 0.225764i
\(146\) 0.397090 16.0972i 0.0328634 1.33221i
\(147\) −18.5486 3.81068i −1.52986 0.314300i
\(148\) −1.08642 + 22.0071i −0.0893029 + 1.80897i
\(149\) 6.40175 + 9.38964i 0.524452 + 0.769229i 0.993486 0.113950i \(-0.0363505\pi\)
−0.469035 + 0.883180i \(0.655398\pi\)
\(150\) 7.84976 6.93123i 0.640930 0.565932i
\(151\) 3.90261 9.94370i 0.317590 0.809207i −0.679550 0.733629i \(-0.737825\pi\)
0.997140 0.0755773i \(-0.0240800\pi\)
\(152\) 16.1056 + 6.30594i 1.30634 + 0.511479i
\(153\) 2.64933 11.6075i 0.214186 0.938408i
\(154\) −2.48362 1.74390i −0.200136 0.140527i
\(155\) 25.5111 5.82274i 2.04910 0.467694i
\(156\) 1.33418 10.6933i 0.106820 0.856150i
\(157\) 2.01272 + 6.52507i 0.160632 + 0.520757i 0.999730 0.0232231i \(-0.00739282\pi\)
−0.839098 + 0.543980i \(0.816917\pi\)
\(158\) −16.2396 + 0.814881i −1.29196 + 0.0648285i
\(159\) −2.98714 7.61111i −0.236896 0.603600i
\(160\) −13.2294 8.51917i −1.04588 0.673499i
\(161\) 12.5161 6.19619i 0.986405 0.488328i
\(162\) −1.92651 4.26650i −0.151361 0.335208i
\(163\) −3.82009 + 4.11708i −0.299212 + 0.322474i −0.864706 0.502278i \(-0.832495\pi\)
0.565494 + 0.824753i \(0.308686\pi\)
\(164\) −4.22031 0.850783i −0.329551 0.0664350i
\(165\) 5.28530 3.05147i 0.411460 0.237556i
\(166\) 4.18509 6.85276i 0.324826 0.531877i
\(167\) 10.5918 13.2817i 0.819619 1.02777i −0.179413 0.983774i \(-0.557420\pi\)
0.999032 0.0439954i \(-0.0140087\pi\)
\(168\) −18.9293 7.17481i −1.46042 0.553549i
\(169\) 5.63180 + 7.06205i 0.433215 + 0.543235i
\(170\) −10.7626 + 1.35168i −0.825453 + 0.103669i
\(171\) −14.8737 + 21.8157i −1.13742 + 1.66829i
\(172\) 1.67933 2.21952i 0.128048 0.169237i
\(173\) −1.77635 11.7853i −0.135053 0.896018i −0.949045 0.315142i \(-0.897948\pi\)
0.813992 0.580877i \(-0.197290\pi\)
\(174\) 5.28975 4.00908i 0.401015 0.303927i
\(175\) −6.94327 2.05920i −0.524862 0.155661i
\(176\) −2.32490 2.26275i −0.175246 0.170561i
\(177\) −12.7793 + 22.1343i −0.960548 + 1.66372i
\(178\) 6.57365 3.58212i 0.492716 0.268491i
\(179\) 2.29785 15.2453i 0.171750 1.13948i −0.722321 0.691558i \(-0.756925\pi\)
0.894070 0.447926i \(-0.147837\pi\)
\(180\) 17.1865 16.7814i 1.28101 1.25081i
\(181\) 2.82702 + 5.87037i 0.210131 + 0.436341i 0.979220 0.202800i \(-0.0650042\pi\)
−0.769089 + 0.639141i \(0.779290\pi\)
\(182\) −6.75852 + 3.14079i −0.500975 + 0.232811i
\(183\) 16.6815 + 8.03337i 1.23313 + 0.593844i
\(184\) 14.2632 4.41228i 1.05150 0.325278i
\(185\) 2.29008 + 30.5590i 0.168370 + 2.24674i
\(186\) 34.6410 9.75656i 2.54000 0.715386i
\(187\) −2.23020 0.167131i −0.163089 0.0122218i
\(188\) 1.75182 + 9.90380i 0.127765 + 0.722309i
\(189\) 5.22776 7.85000i 0.380264 0.571004i
\(190\) 23.3132 + 5.92956i 1.69132 + 0.430176i
\(191\) 7.24760 + 2.23559i 0.524418 + 0.161761i 0.545650 0.838013i \(-0.316283\pi\)
−0.0212323 + 0.999775i \(0.506759\pi\)
\(192\) −18.7592 10.7902i −1.35383 0.778714i
\(193\) −1.75887 + 1.63200i −0.126606 + 0.117474i −0.740935 0.671577i \(-0.765617\pi\)
0.614329 + 0.789050i \(0.289427\pi\)
\(194\) −4.53601 7.01896i −0.325666 0.503932i
\(195\) 14.9876i 1.07328i
\(196\) 2.73811 + 13.7296i 0.195579 + 0.980688i
\(197\) 16.5908i 1.18204i −0.806655 0.591022i \(-0.798724\pi\)
0.806655 0.591022i \(-0.201276\pi\)
\(198\) 4.15955 2.68811i 0.295606 0.191036i
\(199\) −18.6304 + 17.2865i −1.32067 + 1.22541i −0.364990 + 0.931011i \(0.618928\pi\)
−0.955684 + 0.294395i \(0.904882\pi\)
\(200\) −6.97823 3.35358i −0.493435 0.237134i
\(201\) −39.2442 12.1052i −2.76807 0.853837i
\(202\) −2.11142 + 8.30145i −0.148559 + 0.584088i
\(203\) −4.29097 1.63039i −0.301167 0.114431i
\(204\) −14.6904 + 2.59850i −1.02854 + 0.181932i
\(205\) −5.97095 0.447461i −0.417029 0.0312520i
\(206\) 2.98083 + 10.5835i 0.207684 + 0.737390i
\(207\) 1.70323 + 22.7280i 0.118383 + 1.57971i
\(208\) −7.66711 + 2.16613i −0.531619 + 0.150194i
\(209\) 4.46857 + 2.15195i 0.309097 + 0.148853i
\(210\) −27.3597 6.64248i −1.88800 0.458375i
\(211\) 8.55578 + 17.7663i 0.589004 + 1.22308i 0.956139 + 0.292912i \(0.0946244\pi\)
−0.367135 + 0.930168i \(0.619661\pi\)
\(212\) −4.32515 + 4.22319i −0.297053 + 0.290050i
\(213\) 5.28014 35.0314i 0.361789 2.40031i
\(214\) −0.716594 1.31504i −0.0489853 0.0898944i
\(215\) 1.93546 3.35232i 0.131998 0.228626i
\(216\) 6.85194 7.39665i 0.466216 0.503278i
\(217\) −18.4283 16.7293i −1.25100 1.13566i
\(218\) 3.69513 + 4.87552i 0.250266 + 0.330212i
\(219\) −4.59056 30.4564i −0.310201 2.05805i
\(220\) −3.59822 2.72249i −0.242592 0.183550i
\(221\) −3.09391 + 4.53794i −0.208119 + 0.305255i
\(222\) 5.25199 + 41.8184i 0.352490 + 2.80667i
\(223\) −14.6906 18.4214i −0.983753 1.23359i −0.972320 0.233652i \(-0.924932\pi\)
−0.0114324 0.999935i \(-0.503639\pi\)
\(224\) 0.556194 + 14.9563i 0.0371622 + 0.999309i
\(225\) 7.36902 9.24046i 0.491268 0.616031i
\(226\) 18.4482 + 11.2666i 1.22716 + 0.749446i
\(227\) 15.1043 8.72048i 1.00251 0.578799i 0.0935190 0.995617i \(-0.470188\pi\)
0.908990 + 0.416819i \(0.136855\pi\)
\(228\) 32.4319 + 6.53803i 2.14786 + 0.432992i
\(229\) 8.91524 9.60835i 0.589136 0.634937i −0.366173 0.930547i \(-0.619332\pi\)
0.955309 + 0.295609i \(0.0955227\pi\)
\(230\) 18.9249 8.54541i 1.24787 0.563467i
\(231\) −5.25713 2.46155i −0.345894 0.161958i
\(232\) −4.25175 2.45016i −0.279141 0.160861i
\(233\) 8.66794 + 22.0856i 0.567856 + 1.44687i 0.869731 + 0.493526i \(0.164292\pi\)
−0.301875 + 0.953347i \(0.597613\pi\)
\(234\) −0.609528 12.1472i −0.0398461 0.794086i
\(235\) 4.12304 + 13.3666i 0.268958 + 0.871939i
\(236\) 18.7509 + 2.33951i 1.22058 + 0.152289i
\(237\) −30.3228 + 6.92098i −1.96968 + 0.449566i
\(238\) 6.91275 + 7.65913i 0.448087 + 0.496468i
\(239\) 1.07752 4.72093i 0.0696991 0.305372i −0.928048 0.372461i \(-0.878514\pi\)
0.997747 + 0.0670893i \(0.0213712\pi\)
\(240\) −27.7476 11.6613i −1.79110 0.752735i
\(241\) 0.438215 1.11655i 0.0282279 0.0719235i −0.916065 0.401030i \(-0.868652\pi\)
0.944293 + 0.329107i \(0.106748\pi\)
\(242\) 9.68081 + 10.9637i 0.622306 + 0.704775i
\(243\) −11.0685 16.2345i −0.710046 1.04145i
\(244\) 0.674948 13.6721i 0.0432091 0.875269i
\(245\) 6.14300 + 18.4768i 0.392462 + 1.18044i
\(246\) −8.23260 0.203084i −0.524891 0.0129482i
\(247\) 10.0637 6.86129i 0.640336 0.436574i
\(248\) −16.6065 20.7893i −1.05451 1.32012i
\(249\) 5.61138 14.2976i 0.355607 0.906071i
\(250\) 8.43825 + 2.83257i 0.533682 + 0.179147i
\(251\) −22.9264 5.23279i −1.44710 0.330291i −0.574411 0.818567i \(-0.694769\pi\)
−0.872689 + 0.488276i \(0.837626\pi\)
\(252\) −22.4448 4.27094i −1.41389 0.269044i
\(253\) 4.17393 0.952673i 0.262413 0.0598941i
\(254\) 11.9001 + 1.18754i 0.746678 + 0.0745128i
\(255\) −19.8268 + 6.11577i −1.24160 + 0.382984i
\(256\) −1.95521 + 15.8801i −0.122200 + 0.992505i
\(257\) −0.783922 1.99740i −0.0488997 0.124594i 0.904337 0.426819i \(-0.140366\pi\)
−0.953237 + 0.302225i \(0.902271\pi\)
\(258\) 2.42751 4.73819i 0.151130 0.294987i
\(259\) 22.5897 18.4206i 1.40365 1.14460i
\(260\) −10.2084 + 4.30969i −0.633097 + 0.267275i
\(261\) 5.09528 5.49140i 0.315390 0.339909i
\(262\) 29.9037 + 5.26450i 1.84746 + 0.325242i
\(263\) −3.12733 5.41669i −0.192839 0.334008i 0.753351 0.657619i \(-0.228436\pi\)
−0.946190 + 0.323611i \(0.895103\pi\)
\(264\) −5.13020 3.49163i −0.315742 0.214895i
\(265\) −5.24194 + 6.57318i −0.322010 + 0.403787i
\(266\) −8.06504 21.4121i −0.494499 1.31286i
\(267\) 11.1958 8.92832i 0.685169 0.546404i
\(268\) 3.03954 + 30.2110i 0.185670 + 1.84543i
\(269\) −3.37323 + 4.94761i −0.205669 + 0.301661i −0.915190 0.403024i \(-0.867959\pi\)
0.709520 + 0.704685i \(0.248912\pi\)
\(270\) 8.18272 11.3880i 0.497984 0.693049i
\(271\) 7.19029 1.08376i 0.436779 0.0658338i 0.0730276 0.997330i \(-0.476734\pi\)
0.363751 + 0.931496i \(0.381496\pi\)
\(272\) 5.99415 + 9.25881i 0.363449 + 0.561398i
\(273\) −11.6904 + 8.15823i −0.707535 + 0.493759i
\(274\) 14.1359 + 11.8549i 0.853980 + 0.716182i
\(275\) −1.92268 1.11006i −0.115942 0.0669390i
\(276\) 25.4065 13.0425i 1.52929 0.785065i
\(277\) 1.28276 8.51057i 0.0770737 0.511350i −0.916668 0.399649i \(-0.869132\pi\)
0.993742 0.111701i \(-0.0356299\pi\)
\(278\) −12.6227 12.3052i −0.757058 0.738015i
\(279\) 36.5958 17.6236i 2.19094 1.05510i
\(280\) 3.34296 + 20.5454i 0.199780 + 1.22782i
\(281\) −10.6772 5.14187i −0.636948 0.306738i 0.0873991 0.996173i \(-0.472144\pi\)
−0.724347 + 0.689435i \(0.757859\pi\)
\(282\) 6.58476 + 18.0763i 0.392117 + 1.07643i
\(283\) −20.8176 + 1.56006i −1.23748 + 0.0927361i −0.677344 0.735667i \(-0.736869\pi\)
−0.560133 + 0.828403i \(0.689250\pi\)
\(284\) −25.3790 + 6.47689i −1.50597 + 0.384333i
\(285\) 45.8851 + 3.43861i 2.71800 + 0.203686i
\(286\) −2.23921 + 0.453296i −0.132408 + 0.0268040i
\(287\) 2.90116 + 4.90095i 0.171250 + 0.289294i
\(288\) −22.9632 8.32285i −1.35312 0.490429i
\(289\) −8.97908 2.76968i −0.528181 0.162922i
\(290\) −6.28973 2.64935i −0.369346 0.155575i
\(291\) −10.8730 11.7183i −0.637386 0.686939i
\(292\) −19.4245 + 11.8845i −1.13674 + 0.695488i
\(293\) 22.3587i 1.30621i 0.757268 + 0.653104i \(0.226534\pi\)
−0.757268 + 0.653104i \(0.773466\pi\)
\(294\) 9.71162 + 24.9565i 0.566393 + 1.45549i
\(295\) 26.2809 1.53013
\(296\) 26.9733 15.6022i 1.56779 0.906857i
\(297\) 2.11943 1.96654i 0.122982 0.114110i
\(298\) 6.23876 14.8113i 0.361402 0.857993i
\(299\) 3.09904 10.0468i 0.179222 0.581024i
\(300\) −14.2581 4.00331i −0.823195 0.231131i
\(301\) −3.66837 + 0.315105i −0.211441 + 0.0181624i
\(302\) −14.8065 + 2.99735i −0.852015 + 0.172478i
\(303\) −1.22444 + 16.3390i −0.0703420 + 0.938648i
\(304\) −4.87262 23.9702i −0.279464 1.37478i
\(305\) −1.42274 18.9851i −0.0814658 1.08709i
\(306\) −15.8206 + 5.76307i −0.904404 + 0.329453i
\(307\) −9.34870 + 19.4128i −0.533558 + 1.10795i 0.443755 + 0.896148i \(0.353646\pi\)
−0.977314 + 0.211797i \(0.932068\pi\)
\(308\) −0.164929 + 4.28857i −0.00939772 + 0.244364i
\(309\) 9.12546 + 18.9492i 0.519130 + 1.07798i
\(310\) −26.4983 25.8318i −1.50500 1.46715i
\(311\) 9.74297 + 1.46852i 0.552473 + 0.0832719i 0.419345 0.907827i \(-0.362260\pi\)
0.133128 + 0.991099i \(0.457498\pi\)
\(312\) −13.7253 + 6.62345i −0.777042 + 0.374979i
\(313\) −3.50554 + 6.07177i −0.198145 + 0.343197i −0.947927 0.318488i \(-0.896825\pi\)
0.749782 + 0.661685i \(0.230158\pi\)
\(314\) 6.20532 7.39927i 0.350186 0.417565i
\(315\) −31.7114 2.02951i −1.78673 0.114350i
\(316\) 13.4334 + 18.6634i 0.755686 + 1.04990i
\(317\) −1.19971 7.95957i −0.0673826 0.447054i −0.996926 0.0783427i \(-0.975037\pi\)
0.929544 0.368711i \(-0.120201\pi\)
\(318\) −6.74732 + 9.39030i −0.378371 + 0.526582i
\(319\) −1.16265 0.792682i −0.0650960 0.0443817i
\(320\) 0.0360449 + 22.2528i 0.00201497 + 1.24397i
\(321\) −1.78609 2.23968i −0.0996897 0.125007i
\(322\) −16.9669 10.1100i −0.945531 0.563410i
\(323\) −13.1832 10.5133i −0.733536 0.584975i
\(324\) −3.58884 + 5.56320i −0.199380 + 0.309067i
\(325\) −4.72171 + 2.72608i −0.261913 + 0.151216i
\(326\) 7.82242 + 1.37713i 0.433244 + 0.0762720i
\(327\) 8.57804 + 7.95926i 0.474367 + 0.440148i
\(328\) 2.22897 + 5.66581i 0.123074 + 0.312842i
\(329\) 8.18171 10.4919i 0.451072 0.578435i
\(330\) −7.68141 3.93541i −0.422848 0.216637i
\(331\) −27.4985 + 10.7924i −1.51146 + 0.593203i −0.969039 0.246907i \(-0.920586\pi\)
−0.542417 + 0.840110i \(0.682491\pi\)
\(332\) −11.3520 + 0.289233i −0.623019 + 0.0158737i
\(333\) 14.0211 + 45.4553i 0.768351 + 2.49093i
\(334\) −23.9058 2.38562i −1.30807 0.130535i
\(335\) 9.39697 + 41.1708i 0.513411 + 2.24940i
\(336\) 6.00803 + 27.9910i 0.327765 + 1.52703i
\(337\) −3.47609 + 15.2297i −0.189354 + 0.829616i 0.787603 + 0.616183i \(0.211322\pi\)
−0.976958 + 0.213433i \(0.931535\pi\)
\(338\) 4.06514 12.1101i 0.221114 0.658702i
\(339\) 38.4903 + 15.1063i 2.09051 + 0.820463i
\(340\) 9.86681 + 11.7459i 0.535103 + 0.637012i
\(341\) −4.29806 6.30409i −0.232753 0.341386i
\(342\) 37.3290 + 0.920843i 2.01852 + 0.0497935i
\(343\) 11.0682 14.8491i 0.597625 0.801776i
\(344\) −3.92533 0.290966i −0.211639 0.0156878i
\(345\) 32.8177 22.3747i 1.76684 1.20461i
\(346\) −12.6347 + 11.1562i −0.679244 + 0.599763i
\(347\) −7.91679 3.10711i −0.424995 0.166798i 0.143197 0.989694i \(-0.454262\pi\)
−0.568192 + 0.822896i \(0.692357\pi\)
\(348\) −8.82226 3.20565i −0.472923 0.171841i
\(349\) 30.9397 + 7.06178i 1.65616 + 0.378008i 0.945525 0.325550i \(-0.105549\pi\)
0.710638 + 0.703558i \(0.248407\pi\)
\(350\) 2.88378 + 9.82764i 0.154145 + 0.525309i
\(351\) −1.57996 6.92227i −0.0843322 0.369484i
\(352\) −0.903037 + 4.49832i −0.0481320 + 0.239761i
\(353\) 19.8388 6.11947i 1.05591 0.325706i 0.282275 0.959333i \(-0.408911\pi\)
0.773639 + 0.633627i \(0.218435\pi\)
\(354\) 36.0998 1.81143i 1.91868 0.0962767i
\(355\) −33.9103 + 13.3088i −1.79977 + 0.706359i
\(356\) −9.30064 5.05835i −0.492933 0.268092i
\(357\) 15.5627 + 12.1360i 0.823668 + 0.642308i
\(358\) −19.8717 + 8.97290i −1.05025 + 0.474233i
\(359\) −16.7821 15.5715i −0.885726 0.821833i 0.0991542 0.995072i \(-0.468386\pi\)
−0.984880 + 0.173239i \(0.944577\pi\)
\(360\) −33.1247 7.53227i −1.74582 0.396986i
\(361\) 9.19723 + 15.9301i 0.484065 + 0.838425i
\(362\) 4.80263 7.86393i 0.252421 0.413319i
\(363\) 21.8733 + 17.4434i 1.14805 + 0.915540i
\(364\) 8.91835 + 5.61670i 0.467448 + 0.294395i
\(365\) −24.7614 + 19.7465i −1.29607 + 1.03358i
\(366\) −3.26286 25.9801i −0.170552 1.35800i
\(367\) 7.47334 + 5.09523i 0.390105 + 0.265969i 0.742451 0.669901i \(-0.233663\pi\)
−0.352346 + 0.935870i \(0.614616\pi\)
\(368\) −16.1892 13.5546i −0.843920 0.706582i
\(369\) −9.19065 + 1.38527i −0.478446 + 0.0721142i
\(370\) 34.5392 26.1771i 1.79561 1.36088i
\(371\) 7.98049 + 0.510745i 0.414326 + 0.0265166i
\(372\) −38.1789 33.6564i −1.97948 1.74500i
\(373\) −4.46989 2.58069i −0.231442 0.133623i 0.379795 0.925071i \(-0.375995\pi\)
−0.611237 + 0.791447i \(0.709328\pi\)
\(374\) 1.51338 + 2.77725i 0.0782552 + 0.143608i
\(375\) 16.8358 + 2.53759i 0.869398 + 0.131041i
\(376\) 10.4187 9.68288i 0.537305 0.499357i
\(377\) −3.11348 + 1.49937i −0.160352 + 0.0772216i
\(378\) −13.3368 0.183734i −0.685971 0.00945027i
\(379\) −4.76123 + 9.88679i −0.244568 + 0.507850i −0.986730 0.162370i \(-0.948086\pi\)
0.742162 + 0.670220i \(0.233800\pi\)
\(380\) −10.8522 32.2422i −0.556705 1.65399i
\(381\) 22.8118 1.70951i 1.16869 0.0875809i
\(382\) −2.90787 10.3245i −0.148780 0.528248i
\(383\) 0.327563 4.37102i 0.0167377 0.223349i −0.982562 0.185934i \(-0.940469\pi\)
0.999300 0.0374143i \(-0.0119121\pi\)
\(384\) 1.58330 + 30.5642i 0.0807975 + 1.55972i
\(385\) 0.510839 + 5.94706i 0.0260348 + 0.303090i
\(386\) 3.28854 + 0.836420i 0.167382 + 0.0425727i
\(387\) 1.77109 5.74174i 0.0900298 0.291869i
\(388\) −4.85507 + 10.7755i −0.246479 + 0.547041i
\(389\) −1.97643 2.13008i −0.100209 0.107999i 0.680956 0.732324i \(-0.261565\pi\)
−0.781165 + 0.624325i \(0.785374\pi\)
\(390\) −17.8018 + 11.5044i −0.901427 + 0.582548i
\(391\) −14.5554 −0.736098
\(392\) 14.2059 13.7911i 0.717504 0.696554i
\(393\) 58.0800 2.92975
\(394\) −19.7060 + 12.7350i −0.992775 + 0.641582i
\(395\) 21.7531 + 23.4442i 1.09452 + 1.17961i
\(396\) −6.38571 2.87720i −0.320894 0.144584i
\(397\) 5.94231 19.2645i 0.298236 0.966857i −0.675149 0.737681i \(-0.735921\pi\)
0.973385 0.229176i \(-0.0736031\pi\)
\(398\) 34.8330 + 8.85956i 1.74602 + 0.444089i
\(399\) −22.2946 37.6624i −1.11613 1.88548i
\(400\) 1.37319 + 10.8627i 0.0686595 + 0.543136i
\(401\) 0.683884 9.12579i 0.0341515 0.455720i −0.953746 0.300613i \(-0.902809\pi\)
0.987898 0.155107i \(-0.0495723\pi\)
\(402\) 15.7455 + 55.9050i 0.785315 + 2.78829i
\(403\) −18.6850 + 1.40025i −0.930767 + 0.0697513i
\(404\) 11.4809 3.86429i 0.571198 0.192255i
\(405\) −3.99502 + 8.29573i −0.198514 + 0.412218i
\(406\) 1.35720 + 6.34816i 0.0673569 + 0.315054i
\(407\) 8.05055 3.87694i 0.399051 0.192173i
\(408\) 14.3628 + 15.4543i 0.711063 + 0.765100i
\(409\) −7.19319 1.08420i −0.355680 0.0536102i −0.0312282 0.999512i \(-0.509942\pi\)
−0.324452 + 0.945902i \(0.605180\pi\)
\(410\) 4.05180 + 7.43557i 0.200104 + 0.367217i
\(411\) 30.5616 + 17.6447i 1.50749 + 0.870351i
\(412\) 10.2827 11.6644i 0.506593 0.574665i
\(413\) −14.3056 20.4993i −0.703932 1.00870i
\(414\) 25.6883 19.4690i 1.26251 0.956850i
\(415\) −15.6170 + 2.35389i −0.766609 + 0.115548i
\(416\) 8.45811 + 7.44404i 0.414693 + 0.364974i
\(417\) −27.8602 18.9948i −1.36432 0.930179i
\(418\) −0.874041 6.95945i −0.0427507 0.340398i
\(419\) 4.95314 3.95000i 0.241977 0.192970i −0.494991 0.868898i \(-0.664829\pi\)
0.736967 + 0.675928i \(0.236257\pi\)
\(420\) 13.1115 + 37.5958i 0.639775 + 1.83449i
\(421\) −5.88017 4.68928i −0.286582 0.228541i 0.469638 0.882859i \(-0.344384\pi\)
−0.756220 + 0.654318i \(0.772956\pi\)
\(422\) 14.5348 23.7996i 0.707544 1.15855i
\(423\) 10.8565 + 18.8041i 0.527863 + 0.914285i
\(424\) 8.33615 + 1.89557i 0.404839 + 0.0920570i
\(425\) 5.53301 + 5.13388i 0.268390 + 0.249030i
\(426\) −45.6623 + 20.6184i −2.21234 + 0.998967i
\(427\) −14.0341 + 11.4440i −0.679157 + 0.553813i
\(428\) −1.01191 + 1.86057i −0.0489125 + 0.0899340i
\(429\) −4.06801 + 1.59658i −0.196405 + 0.0770835i
\(430\) −5.46744 + 0.274348i −0.263663 + 0.0132302i
\(431\) −24.8921 + 7.67819i −1.19901 + 0.369845i −0.829035 0.559196i \(-0.811110\pi\)
−0.369974 + 0.929042i \(0.620634\pi\)
\(432\) −14.0450 2.46088i −0.675742 0.118399i
\(433\) 0.261931 + 1.14760i 0.0125876 + 0.0551500i 0.980832 0.194857i \(-0.0624243\pi\)
−0.968244 + 0.250007i \(0.919567\pi\)
\(434\) −5.72505 + 34.7300i −0.274811 + 1.66709i
\(435\) −12.7276 2.90499i −0.610240 0.139283i
\(436\) 2.95461 8.13139i 0.141500 0.389423i
\(437\) 30.0478 + 11.7929i 1.43738 + 0.564131i
\(438\) −32.6515 + 28.8308i −1.56015 + 1.37759i
\(439\) −14.0191 + 9.55804i −0.669094 + 0.456180i −0.849624 0.527389i \(-0.823171\pi\)
0.180530 + 0.983569i \(0.442219\pi\)
\(440\) −0.471705 + 6.36362i −0.0224877 + 0.303374i
\(441\) 15.6785 + 25.8398i 0.746597 + 1.23047i
\(442\) 7.76490 + 0.191547i 0.369339 + 0.00911096i
\(443\) −10.6820 15.6676i −0.507518 0.744392i 0.483900 0.875123i \(-0.339220\pi\)
−0.991418 + 0.130731i \(0.958267\pi\)
\(444\) 45.6391 38.3378i 2.16594 1.81943i
\(445\) −13.7068 5.37953i −0.649765 0.255014i
\(446\) −10.6039 + 31.5892i −0.502110 + 1.49579i
\(447\) 6.84075 29.9713i 0.323556 1.41759i
\(448\) 17.3377 12.1410i 0.819129 0.573610i
\(449\) 0.527129 + 2.30950i 0.0248768 + 0.108992i 0.985842 0.167677i \(-0.0536265\pi\)
−0.960965 + 0.276669i \(0.910769\pi\)
\(450\) −16.6320 1.65975i −0.784039 0.0782411i
\(451\) 0.514613 + 1.66834i 0.0242322 + 0.0785588i
\(452\) −0.778642 30.5605i −0.0366242 1.43744i
\(453\) −26.8991 + 10.5571i −1.26383 + 0.496016i
\(454\) −21.9519 11.2466i −1.03026 0.527830i
\(455\) 13.2754 + 6.21594i 0.622358 + 0.291408i
\(456\) −17.1290 43.5402i −0.802138 2.03896i
\(457\) 11.7462 + 10.8989i 0.549466 + 0.509830i 0.905331 0.424708i \(-0.139623\pi\)
−0.355865 + 0.934538i \(0.615814\pi\)
\(458\) −18.2558 3.21391i −0.853038 0.150176i
\(459\) −8.51266 + 4.91479i −0.397337 + 0.229403i
\(460\) −24.6767 15.9190i −1.15056 0.742228i
\(461\) −6.84059 5.45519i −0.318598 0.254073i 0.451112 0.892467i \(-0.351028\pi\)
−0.769710 + 0.638394i \(0.779599\pi\)
\(462\) 1.11160 + 8.13373i 0.0517163 + 0.378415i
\(463\) −14.1698 17.7684i −0.658526 0.825766i 0.334656 0.942341i \(-0.391380\pi\)
−0.993182 + 0.116575i \(0.962809\pi\)
\(464\) 0.353407 + 6.93083i 0.0164065 + 0.321756i
\(465\) −58.4860 39.8751i −2.71222 1.84916i
\(466\) 19.5791 27.2483i 0.906982 1.26225i
\(467\) −1.69232 11.2278i −0.0783113 0.519561i −0.993252 0.115974i \(-0.963001\pi\)
0.914941 0.403588i \(-0.132237\pi\)
\(468\) −13.9602 + 10.0481i −0.645309 + 0.464475i
\(469\) 26.9984 29.7403i 1.24667 1.37328i
\(470\) 12.7116 15.1574i 0.586341 0.699157i
\(471\) 9.23593 15.9971i 0.425569 0.737108i
\(472\) −11.6143 24.0675i −0.534593 1.10780i
\(473\) −1.11609 0.168223i −0.0513177 0.00773489i
\(474\) 31.4962 + 30.7039i 1.44667 + 1.41028i
\(475\) −7.26270 15.0812i −0.333235 0.691971i
\(476\) 3.79107 14.0899i 0.173763 0.645809i
\(477\) −5.66240 + 11.7581i −0.259264 + 0.538367i
\(478\) −6.43447 + 2.34392i −0.294306 + 0.107209i
\(479\) −2.14746 28.6558i −0.0981198 1.30932i −0.801282 0.598287i \(-0.795848\pi\)
0.703162 0.711030i \(-0.251771\pi\)
\(480\) 7.44802 + 41.9089i 0.339954 + 1.91287i
\(481\) 1.63985 21.8823i 0.0747707 0.997745i
\(482\) −1.66258 + 0.336565i −0.0757284 + 0.0153301i
\(483\) −35.3162 13.4187i −1.60694 0.610572i
\(484\) 5.59141 19.9143i 0.254155 0.905195i
\(485\) −4.84503 + 15.7072i −0.220001 + 0.713227i
\(486\) −10.7867 + 25.6084i −0.489295 + 1.16162i
\(487\) −4.54669 + 4.21871i −0.206030 + 0.191168i −0.776438 0.630194i \(-0.782976\pi\)
0.570408 + 0.821361i \(0.306785\pi\)
\(488\) −16.7574 + 9.69301i −0.758573 + 0.438782i
\(489\) 15.1930 0.687051
\(490\) 17.2308 21.4792i 0.778407 0.970330i
\(491\) 17.0046i 0.767408i 0.923456 + 0.383704i \(0.125352\pi\)
−0.923456 + 0.383704i \(0.874648\pi\)
\(492\) 6.07810 + 9.93431i 0.274022 + 0.447873i
\(493\) 3.25397 + 3.50695i 0.146552 + 0.157945i
\(494\) −15.8745 6.68661i −0.714226 0.300845i
\(495\) −9.30835 2.87124i −0.418379 0.129053i
\(496\) −11.9458 + 35.6825i −0.536382 + 1.60219i
\(497\) 28.8395 + 19.2058i 1.29363 + 0.861500i
\(498\) −21.2895 + 4.30974i −0.954004 + 0.193124i
\(499\) −37.1877 2.78683i −1.66475 0.124756i −0.791221 0.611531i \(-0.790554\pi\)
−0.873527 + 0.486775i \(0.838173\pi\)
\(500\) −3.11274 12.1970i −0.139206 0.545465i
\(501\) −45.8262 + 3.43420i −2.04736 + 0.153429i
\(502\) 11.3829 + 31.2479i 0.508042 + 1.39466i
\(503\) −8.41718 4.05350i −0.375304 0.180737i 0.236717 0.971579i \(-0.423929\pi\)
−0.612020 + 0.790842i \(0.709643\pi\)
\(504\) 12.1556 + 29.9375i 0.541455 + 1.33352i
\(505\) 15.1794 7.31002i 0.675475 0.325292i
\(506\) −4.33546 4.22640i −0.192734 0.187886i
\(507\) 3.64181 24.1618i 0.161738 1.07306i
\(508\) −7.72395 15.0461i −0.342695 0.667563i
\(509\) 14.9894 + 8.65416i 0.664395 + 0.383589i 0.793950 0.607984i \(-0.208021\pi\)
−0.129554 + 0.991572i \(0.541355\pi\)
\(510\) 22.4831 + 18.8552i 0.995570 + 0.834924i
\(511\) 28.8809 + 8.56534i 1.27761 + 0.378908i
\(512\) 20.3627 9.86717i 0.899912 0.436072i
\(513\) 21.5553 3.24894i 0.951691 0.143444i
\(514\) −1.77072 + 2.46432i −0.0781029 + 0.108696i
\(515\) 12.1827 17.8687i 0.536832 0.787388i
\(516\) −7.49123 + 0.753696i −0.329783 + 0.0331796i
\(517\) 3.18882 2.54300i 0.140244 0.111841i
\(518\) −39.2192 12.6917i −1.72319 0.557643i
\(519\) −20.1019 + 25.2070i −0.882375 + 1.10646i
\(520\) 12.9548 + 8.81710i 0.568107 + 0.386655i
\(521\) 21.1911 + 36.7040i 0.928398 + 1.60803i 0.786002 + 0.618223i \(0.212147\pi\)
0.142396 + 0.989810i \(0.454519\pi\)
\(522\) −10.4336 1.83683i −0.456668 0.0803958i
\(523\) 0.829462 0.893947i 0.0362698 0.0390896i −0.714656 0.699476i \(-0.753417\pi\)
0.750926 + 0.660386i \(0.229607\pi\)
\(524\) −16.7010 39.5597i −0.729585 1.72817i
\(525\) 8.69194 + 17.5574i 0.379348 + 0.766268i
\(526\) −4.03325 + 7.87238i −0.175858 + 0.343252i
\(527\) 9.47690 + 24.1468i 0.412820 + 1.05185i
\(528\) −0.209321 + 8.77366i −0.00910954 + 0.381824i
\(529\) 4.64749 1.43356i 0.202065 0.0623287i
\(530\) 11.8311 + 1.18066i 0.513911 + 0.0512844i
\(531\) 39.7721 9.07771i 1.72596 0.393939i
\(532\) −19.2419 + 26.0153i −0.834243 + 1.12790i
\(533\) 4.18008 + 0.954076i 0.181059 + 0.0413256i
\(534\) −19.1986 6.44462i −0.830805 0.278886i
\(535\) −1.07616 + 2.74201i −0.0465265 + 0.118548i
\(536\) 33.5506 26.8002i 1.44916 1.15759i
\(537\) −34.4594 + 23.4940i −1.48703 + 1.01384i
\(538\) 8.46590 + 0.208839i 0.364991 + 0.00900371i
\(539\) 4.36068 3.63564i 0.187828 0.156598i
\(540\) −19.8073 0.977820i −0.852370 0.0420787i
\(541\) 0.588537 + 0.863225i 0.0253032 + 0.0371129i 0.838682 0.544622i \(-0.183327\pi\)
−0.813379 + 0.581734i \(0.802374\pi\)
\(542\) −6.80650 7.70851i −0.292364 0.331109i
\(543\) 6.43937 16.4073i 0.276340 0.704103i
\(544\) 6.39623 14.2267i 0.274236 0.609965i
\(545\) 2.67750 11.7309i 0.114691 0.502496i
\(546\) 18.6636 + 7.62326i 0.798729 + 0.326246i
\(547\) 21.6910 4.95084i 0.927442 0.211683i 0.267984 0.963423i \(-0.413643\pi\)
0.659459 + 0.751741i \(0.270786\pi\)
\(548\) 3.23024 25.8900i 0.137989 1.10596i
\(549\) −8.71076 28.2396i −0.371766 1.20524i
\(550\) 0.157349 + 3.13577i 0.00670937 + 0.133710i
\(551\) −3.87607 9.87606i −0.165126 0.420734i
\(552\) −34.9934 20.1657i −1.48942 0.858308i
\(553\) 6.44575 29.7290i 0.274101 1.26421i
\(554\) −11.0932 + 5.00906i −0.471306 + 0.212815i
\(555\) 56.3851 60.7687i 2.39341 2.57949i
\(556\) −4.92656 + 24.4382i −0.208933 + 1.03641i
\(557\) −0.573251 + 0.330967i −0.0242894 + 0.0140235i −0.512096 0.858928i \(-0.671131\pi\)
0.487806 + 0.872952i \(0.337797\pi\)
\(558\) −49.0236 29.9396i −2.07534 1.26744i
\(559\) −1.72821 + 2.16711i −0.0730956 + 0.0916590i
\(560\) 21.8371 19.7412i 0.922787 0.834220i
\(561\) 3.77206 + 4.73002i 0.159257 + 0.199702i
\(562\) 2.08843 + 16.6289i 0.0880953 + 0.701449i
\(563\) 3.42774 5.02757i 0.144462 0.211887i −0.747187 0.664613i \(-0.768596\pi\)
0.891649 + 0.452727i \(0.149549\pi\)
\(564\) 16.4160 21.6965i 0.691239 0.913586i
\(565\) −6.33688 42.0424i −0.266594 1.76874i
\(566\) 17.8325 + 23.5290i 0.749556 + 0.988997i
\(567\) 8.64535 1.39951i 0.363071 0.0587737i
\(568\) 27.1739 + 25.1728i 1.14019 + 1.05623i
\(569\) 13.1185 22.7219i 0.549956 0.952552i −0.448320 0.893873i \(-0.647978\pi\)
0.998277 0.0586796i \(-0.0186890\pi\)
\(570\) −31.1370 57.1403i −1.30418 2.39334i
\(571\) −0.754857 + 5.00815i −0.0315898 + 0.209584i −0.999057 0.0434107i \(-0.986178\pi\)
0.967468 + 0.252995i \(0.0814157\pi\)
\(572\) 2.25723 + 2.31172i 0.0943794 + 0.0966579i
\(573\) −8.90211 18.4854i −0.371891 0.772240i
\(574\) 3.59427 7.20786i 0.150022 0.300850i
\(575\) −13.0181 6.26921i −0.542894 0.261444i
\(576\) 7.74089 + 33.6636i 0.322537 + 1.40265i
\(577\) −0.139926 1.86719i −0.00582521 0.0777321i 0.993534 0.113539i \(-0.0362188\pi\)
−0.999359 + 0.0358073i \(0.988600\pi\)
\(578\) 3.60257 + 12.7911i 0.149847 + 0.532038i
\(579\) 6.47252 + 0.485048i 0.268989 + 0.0201579i
\(580\) 1.68117 + 9.50438i 0.0698068 + 0.394648i
\(581\) 10.3369 + 10.9001i 0.428847 + 0.452212i
\(582\) −5.57256 + 21.9095i −0.230990 + 0.908179i
\(583\) 2.34254 + 0.722577i 0.0970180 + 0.0299261i
\(584\) 29.0263 + 13.9494i 1.20112 + 0.577229i
\(585\) −17.5362 + 16.2712i −0.725033 + 0.672733i
\(586\) 26.5569 17.1625i 1.09706 0.708974i
\(587\) 3.46259i 0.142916i −0.997444 0.0714582i \(-0.977235\pi\)
0.997444 0.0714582i \(-0.0227653\pi\)
\(588\) 22.1879 30.6917i 0.915015 1.26570i
\(589\) 57.5262i 2.37033i
\(590\) −20.1732 31.2157i −0.830516 1.28513i
\(591\) −32.8996 + 30.5264i −1.35331 + 1.25569i
\(592\) −39.2364 20.0618i −1.61260 0.824536i
\(593\) 41.3555 + 12.7565i 1.69827 + 0.523847i 0.984326 0.176358i \(-0.0564316\pi\)
0.713943 + 0.700204i \(0.246908\pi\)
\(594\) −3.96266 1.00788i −0.162590 0.0413538i
\(595\) 2.80588 20.0982i 0.115030 0.823947i
\(596\) −22.3812 + 3.95887i −0.916770 + 0.162162i
\(597\) 68.5584 + 5.13774i 2.80591 + 0.210274i
\(598\) −14.3121 + 4.03098i −0.585267 + 0.164839i
\(599\) 2.02913 + 27.0769i 0.0829081 + 1.10633i 0.871167 + 0.490987i \(0.163364\pi\)
−0.788259 + 0.615344i \(0.789017\pi\)
\(600\) 6.18950 + 20.0083i 0.252685 + 0.816836i
\(601\) −18.4502 8.88516i −0.752601 0.362433i 0.0179275 0.999839i \(-0.494293\pi\)
−0.770528 + 0.637406i \(0.780007\pi\)
\(602\) 3.19010 + 4.11530i 0.130019 + 0.167727i
\(603\) 28.4417 + 59.0598i 1.15823 + 2.40510i
\(604\) 14.9255 + 15.2859i 0.607312 + 0.621974i
\(605\) 4.28762 28.4465i 0.174316 1.15651i
\(606\) 20.3468 11.0874i 0.826531 0.450394i
\(607\) −5.51859 + 9.55848i −0.223993 + 0.387967i −0.956017 0.293312i \(-0.905243\pi\)
0.732024 + 0.681279i \(0.238576\pi\)
\(608\) −24.7308 + 24.1870i −1.00297 + 0.980911i
\(609\) 4.66213 + 11.5089i 0.188919 + 0.466363i
\(610\) −21.4579 + 16.2628i −0.868803 + 0.658462i
\(611\) −1.49286 9.90446i −0.0603946 0.400692i
\(612\) 18.9890 + 14.3675i 0.767587 + 0.580772i
\(613\) −19.9492 + 29.2601i −0.805740 + 1.18180i 0.174629 + 0.984634i \(0.444127\pi\)
−0.980369 + 0.197169i \(0.936825\pi\)
\(614\) 30.2339 3.79709i 1.22014 0.153238i
\(615\) 10.0990 + 12.6637i 0.407231 + 0.510651i
\(616\) 5.22043 3.09600i 0.210337 0.124741i
\(617\) −4.44574 + 5.57478i −0.178979 + 0.224432i −0.863226 0.504818i \(-0.831560\pi\)
0.684247 + 0.729250i \(0.260131\pi\)
\(618\) 15.5026 25.3843i 0.623607 1.02111i
\(619\) −32.9826 + 19.0425i −1.32568 + 0.765382i −0.984628 0.174662i \(-0.944117\pi\)
−0.341052 + 0.940044i \(0.610783\pi\)
\(620\) −10.3422 + 51.3023i −0.415351 + 2.06035i
\(621\) 12.7987 13.7937i 0.513595 0.553524i
\(622\) −5.73441 12.6996i −0.229929 0.509208i
\(623\) 3.26500 + 13.6197i 0.130810 + 0.545660i
\(624\) 18.4026 + 11.2183i 0.736695 + 0.449093i
\(625\) −11.3963 29.0374i −0.455853 1.16150i
\(626\) 9.90271 0.496904i 0.395792 0.0198603i
\(627\) −3.95466 12.8207i −0.157934 0.512009i
\(628\) −13.5518 1.69083i −0.540776 0.0674714i
\(629\) −29.6169 + 6.75986i −1.18090 + 0.269533i
\(630\) 21.9310 + 39.2237i 0.873752 + 1.56271i
\(631\) −0.840793 + 3.68375i −0.0334714 + 0.146648i −0.988902 0.148567i \(-0.952534\pi\)
0.955431 + 0.295215i \(0.0953912\pi\)
\(632\) 11.8564 30.2817i 0.471623 1.20454i
\(633\) 19.4883 49.6554i 0.774591 1.97363i
\(634\) −8.53324 + 7.53473i −0.338898 + 0.299242i
\(635\) −13.2506 19.4351i −0.525835 0.771259i
\(636\) 16.3327 + 0.806292i 0.647635 + 0.0319716i
\(637\) −2.37774 13.7384i −0.0942096 0.544335i
\(638\) −0.0490757 + 1.98942i −0.00194292 + 0.0787620i
\(639\) −46.7209 + 31.8538i −1.84825 + 1.26012i
\(640\) 26.4035 17.1240i 1.04369 0.676884i
\(641\) −16.2232 + 41.3359i −0.640776 + 1.63267i 0.126962 + 0.991908i \(0.459477\pi\)
−0.767739 + 0.640763i \(0.778618\pi\)
\(642\) −1.28923 + 3.84064i −0.0508819 + 0.151578i
\(643\) 41.6887 + 9.51517i 1.64404 + 0.375242i 0.941662 0.336560i \(-0.109264\pi\)
0.702380 + 0.711802i \(0.252121\pi\)
\(644\) 1.01540 + 27.9132i 0.0400123 + 1.09994i
\(645\) −10.2089 + 2.33010i −0.401973 + 0.0917478i
\(646\) −2.36794 + 23.7286i −0.0931652 + 0.933590i
\(647\) 38.3736 11.8367i 1.50862 0.465348i 0.573359 0.819304i \(-0.305640\pi\)
0.935262 + 0.353956i \(0.115164\pi\)
\(648\) 9.36258 0.00758271i 0.367797 0.000297877i
\(649\) −2.79962 7.13332i −0.109895 0.280007i
\(650\) 6.86232 + 3.51577i 0.269162 + 0.137900i
\(651\) 0.733041 + 67.3248i 0.0287302 + 2.63867i
\(652\) −4.36876 10.3483i −0.171094 0.405271i
\(653\) 0.296297 0.319332i 0.0115950 0.0124964i −0.727228 0.686396i \(-0.759192\pi\)
0.738823 + 0.673900i \(0.235382\pi\)
\(654\) 2.86928 16.2982i 0.112198 0.637311i
\(655\) −29.8608 51.7205i −1.16676 2.02089i
\(656\) 5.01873 6.99656i 0.195949 0.273170i
\(657\) −30.6518 + 38.4361i −1.19584 + 1.49954i
\(658\) −18.7422 1.66445i −0.730646 0.0648871i
\(659\) −25.6134 + 20.4260i −0.997758 + 0.795685i −0.978942 0.204138i \(-0.934561\pi\)
−0.0188154 + 0.999823i \(0.505989\pi\)
\(660\) 1.22187 + 12.1446i 0.0475612 + 0.472726i
\(661\) −7.55402 + 11.0797i −0.293817 + 0.430951i −0.944556 0.328351i \(-0.893507\pi\)
0.650739 + 0.759302i \(0.274459\pi\)
\(662\) 33.9266 + 24.3777i 1.31860 + 0.947466i
\(663\) 14.6914 2.21438i 0.570568 0.0859993i
\(664\) 9.05727 + 13.2615i 0.351490 + 0.514645i
\(665\) −22.0761 + 39.2169i −0.856076 + 1.52077i
\(666\) 43.2278 51.5452i 1.67504 1.99733i
\(667\) −7.93119 4.57907i −0.307097 0.177302i
\(668\) 15.5165 + 30.2258i 0.600351 + 1.16947i
\(669\) −9.49965 + 63.0261i −0.367278 + 2.43673i
\(670\) 41.6883 42.7640i 1.61056 1.65212i
\(671\) −5.00149 + 2.40859i −0.193080 + 0.0929827i
\(672\) 28.6350 28.6219i 1.10462 1.10411i
\(673\) −1.05199 0.506611i −0.0405512 0.0195284i 0.413498 0.910505i \(-0.364307\pi\)
−0.454049 + 0.890976i \(0.650021\pi\)
\(674\) 20.7576 7.56151i 0.799554 0.291258i
\(675\) −9.73047 + 0.729198i −0.374526 + 0.0280669i
\(676\) −17.5044 + 4.46723i −0.673245 + 0.171816i
\(677\) 5.89701 + 0.441920i 0.226641 + 0.0169844i 0.187566 0.982252i \(-0.439940\pi\)
0.0390743 + 0.999236i \(0.487559\pi\)
\(678\) −11.6022 57.3132i −0.445580 2.20110i
\(679\) 14.8890 4.77080i 0.571389 0.183086i
\(680\) 6.37771 20.7356i 0.244574 0.795175i
\(681\) −45.0841 13.9066i −1.72763 0.532902i
\(682\) −4.18863 + 9.94410i −0.160391 + 0.380779i
\(683\) 14.8189 + 15.9710i 0.567031 + 0.611114i 0.949849 0.312710i \(-0.101237\pi\)
−0.382817 + 0.923824i \(0.625046\pi\)
\(684\) −27.5599 45.0450i −1.05378 1.72234i
\(685\) 36.2869i 1.38645i
\(686\) −26.1332 1.74830i −0.997770 0.0667504i
\(687\) −35.4571 −1.35277
\(688\) 2.66747 + 4.88572i 0.101696 + 0.186266i
\(689\) 4.41316 4.09482i 0.168128 0.156000i
\(690\) −51.7667 21.8051i −1.97073 0.830104i
\(691\) −7.10221 + 23.0248i −0.270181 + 0.875905i 0.714214 + 0.699928i \(0.246785\pi\)
−0.984394 + 0.175977i \(0.943692\pi\)
\(692\) 22.9494 + 6.44358i 0.872404 + 0.244948i
\(693\) 2.82725 + 8.82349i 0.107398 + 0.335177i
\(694\) 2.38637 + 11.7883i 0.0905855 + 0.447479i
\(695\) −2.59107 + 34.5755i −0.0982851 + 1.31152i
\(696\) 2.96437 + 12.9394i 0.112364 + 0.490468i
\(697\) −0.443574 5.91908i −0.0168016 0.224201i
\(698\) −15.3614 42.1698i −0.581439 1.59615i
\(699\) 27.8471 57.8251i 1.05327 2.18715i
\(700\) 9.45938 10.9689i 0.357531 0.414587i
\(701\) −10.8186 22.4651i −0.408613 0.848493i −0.999140 0.0414752i \(-0.986794\pi\)
0.590527 0.807018i \(-0.298920\pi\)
\(702\) −7.00928 + 7.19015i −0.264548 + 0.271375i
\(703\) 66.6172 + 10.0409i 2.51252 + 0.378701i
\(704\) 6.03613 2.38030i 0.227495 0.0897109i
\(705\) 18.9198 32.7700i 0.712559 1.23419i
\(706\) −22.4967 18.8667i −0.846676 0.710056i
\(707\) −13.9645 7.86096i −0.525190 0.295642i
\(708\) −29.8616 41.4877i −1.12227 1.55920i
\(709\) −1.63672 10.8589i −0.0614683 0.407815i −0.998313 0.0580686i \(-0.981506\pi\)
0.936844 0.349747i \(-0.113732\pi\)
\(710\) 41.8373 + 30.0618i 1.57012 + 1.12820i
\(711\) 41.0178 + 27.9654i 1.53829 + 1.04879i
\(712\) 1.13099 + 14.9298i 0.0423857 + 0.559517i
\(713\) −30.9607 38.8234i −1.15949 1.45395i
\(714\) 2.46890 27.8005i 0.0923964 1.04041i
\(715\) 3.51325 + 2.80173i 0.131388 + 0.104779i
\(716\) 25.9112 + 16.7154i 0.968346 + 0.624683i
\(717\) −11.3442 + 6.54959i −0.423658 + 0.244599i
\(718\) −5.61347 + 31.8859i −0.209493 + 1.18997i
\(719\) −16.9132 15.6932i −0.630757 0.585257i 0.298627 0.954370i \(-0.403471\pi\)
−0.929385 + 0.369113i \(0.879662\pi\)
\(720\) 16.4798 + 45.1262i 0.614166 + 1.68175i
\(721\) −20.5691 + 0.223959i −0.766034 + 0.00834068i
\(722\) 11.8615 23.1521i 0.441438 0.861630i
\(723\) −3.02043 + 1.18543i −0.112331 + 0.0440867i
\(724\) −13.0270 + 0.331911i −0.484145 + 0.0123354i
\(725\) 1.39982 + 4.53810i 0.0519879 + 0.168541i
\(726\) 3.92882 39.3699i 0.145812 1.46115i
\(727\) 7.70913 + 33.7759i 0.285916 + 1.25268i 0.890074 + 0.455815i \(0.150652\pi\)
−0.604158 + 0.796864i \(0.706491\pi\)
\(728\) −0.174352 14.9043i −0.00646193 0.552390i
\(729\) −9.61779 + 42.1383i −0.356215 + 1.56068i
\(730\) 42.4611 + 14.2534i 1.57155 + 0.527542i
\(731\) 3.57205 + 1.40192i 0.132117 + 0.0518521i
\(732\) −28.3538 + 23.8178i −1.04799 + 0.880330i
\(733\) −9.01867 13.2280i −0.333112 0.488586i 0.622742 0.782427i \(-0.286019\pi\)
−0.955854 + 0.293841i \(0.905066\pi\)
\(734\) 0.315451 12.7877i 0.0116435 0.472002i
\(735\) 25.3367 46.1781i 0.934557 1.70331i
\(736\) −3.67294 + 29.6335i −0.135386 + 1.09230i
\(737\) 10.1738 6.93637i 0.374756 0.255505i
\(738\) 8.70009 + 9.85304i 0.320255 + 0.362695i
\(739\) −20.7300 8.13594i −0.762566 0.299285i −0.0479948 0.998848i \(-0.515283\pi\)
−0.714572 + 0.699562i \(0.753378\pi\)
\(740\) −57.6045 20.9311i −2.11758 0.769443i
\(741\) −32.1227 7.33181i −1.18006 0.269341i
\(742\) −5.51915 9.87102i −0.202614 0.362377i
\(743\) −8.58355 37.6070i −0.314900 1.37967i −0.846373 0.532591i \(-0.821218\pi\)
0.531473 0.847075i \(-0.321639\pi\)
\(744\) −10.6700 + 71.1822i −0.391183 + 2.60967i
\(745\) −30.2066 + 9.31750i −1.10668 + 0.341367i
\(746\) 0.365808 + 7.29013i 0.0133932 + 0.266911i
\(747\) −22.8209 + 8.95652i −0.834971 + 0.327702i
\(748\) 2.13707 3.92936i 0.0781389 0.143672i
\(749\) 2.72458 0.653156i 0.0995540 0.0238658i
\(750\) −9.90906 21.9449i −0.361828 0.801315i
\(751\) −20.2248 18.7659i −0.738015 0.684778i 0.218704 0.975791i \(-0.429817\pi\)
−0.956719 + 0.291014i \(0.906008\pi\)
\(752\) −19.4984 4.94249i −0.711034 0.180234i
\(753\) 31.8070 + 55.0913i 1.15911 + 2.00764i
\(754\) 4.17081 + 2.54718i 0.151892 + 0.0927629i
\(755\) 23.2308 + 18.5260i 0.845457 + 0.674229i
\(756\) 10.0191 + 15.9821i 0.364390 + 0.581262i
\(757\) −28.3110 + 22.5773i −1.02898 + 0.820585i −0.983958 0.178401i \(-0.942908\pi\)
−0.0450233 + 0.998986i \(0.514336\pi\)
\(758\) 15.3979 1.93383i 0.559278 0.0702399i
\(759\) −9.56903 6.52406i −0.347334 0.236808i
\(760\) −29.9662 + 37.6389i −1.08699 + 1.36531i
\(761\) 37.0390 5.58274i 1.34266 0.202374i 0.561903 0.827203i \(-0.310070\pi\)
0.780761 + 0.624829i \(0.214831\pi\)
\(762\) −19.5408 25.7830i −0.707888 0.934018i
\(763\) −10.6076 + 4.29705i −0.384022 + 0.155564i
\(764\) −10.0310 + 11.3789i −0.362911 + 0.411676i
\(765\) 28.6807 + 16.5588i 1.03695 + 0.598686i
\(766\) −5.44320 + 2.96611i −0.196671 + 0.107170i
\(767\) −18.6087 2.80481i −0.671920 0.101276i
\(768\) 35.0878 25.3416i 1.26612 0.914434i
\(769\) 9.87339 4.75478i 0.356044 0.171462i −0.247308 0.968937i \(-0.579546\pi\)
0.603351 + 0.797475i \(0.293832\pi\)
\(770\) 6.67161 5.17170i 0.240428 0.186375i
\(771\) −2.51847 + 5.22966i −0.0907006 + 0.188342i