Properties

Label 108.3.j.a.7.5
Level 108
Weight 3
Character 108.7
Analytic conductor 2.943
Analytic rank 0
Dimension 204
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 108.j (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.94278685509\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 7.5
Character \(\chi\) \(=\) 108.7
Dual form 108.3.j.a.31.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.89957 + 0.625818i) q^{2} +(2.48687 - 1.67794i) q^{3} +(3.21670 - 2.37757i) q^{4} +(1.04974 + 5.95339i) q^{5} +(-3.67389 + 4.74368i) q^{6} +(1.18627 - 1.41374i) q^{7} +(-4.62241 + 6.52942i) q^{8} +(3.36905 - 8.34563i) q^{9} +O(q^{10})\) \(q+(-1.89957 + 0.625818i) q^{2} +(2.48687 - 1.67794i) q^{3} +(3.21670 - 2.37757i) q^{4} +(1.04974 + 5.95339i) q^{5} +(-3.67389 + 4.74368i) q^{6} +(1.18627 - 1.41374i) q^{7} +(-4.62241 + 6.52942i) q^{8} +(3.36905 - 8.34563i) q^{9} +(-5.71979 - 10.6519i) q^{10} +(14.9684 + 2.63934i) q^{11} +(4.01012 - 11.3101i) q^{12} +(-6.81461 - 2.48032i) q^{13} +(-1.36865 + 3.42789i) q^{14} +(12.6000 + 13.0439i) q^{15} +(4.69435 - 15.2959i) q^{16} +(2.22420 + 3.85243i) q^{17} +(-1.17689 + 17.9615i) q^{18} +(30.1899 + 17.4301i) q^{19} +(17.5313 + 16.6544i) q^{20} +(0.577931 - 5.50628i) q^{21} +(-30.0853 + 4.35392i) q^{22} +(-8.19924 - 9.77147i) q^{23} +(-0.539396 + 23.9939i) q^{24} +(-10.8485 + 3.94854i) q^{25} +(14.4970 + 0.446815i) q^{26} +(-5.62504 - 26.4076i) q^{27} +(0.454613 - 7.36803i) q^{28} +(-26.3635 + 9.59554i) q^{29} +(-32.0976 - 16.8924i) q^{30} +(-34.0099 - 40.5314i) q^{31} +(0.655192 + 31.9933i) q^{32} +(41.6532 - 18.5524i) q^{33} +(-6.63594 - 5.92600i) q^{34} +(9.66183 + 5.57826i) q^{35} +(-9.00504 - 34.8555i) q^{36} +(1.20543 + 2.08787i) q^{37} +(-68.2558 - 14.2163i) q^{38} +(-21.1089 + 5.26627i) q^{39} +(-43.7245 - 20.6648i) q^{40} +(-44.2880 - 16.1195i) q^{41} +(2.34811 + 10.8212i) q^{42} +(-15.3959 - 2.71472i) q^{43} +(54.4242 - 27.0985i) q^{44} +(53.2214 + 11.2965i) q^{45} +(21.6902 + 13.4303i) q^{46} +(-13.3190 + 15.8730i) q^{47} +(-13.9912 - 45.9156i) q^{48} +(7.91733 + 44.9014i) q^{49} +(18.1364 - 14.2897i) q^{50} +(11.9954 + 5.84843i) q^{51} +(-27.8177 + 8.22376i) q^{52} -77.1717 q^{53} +(27.2115 + 46.6426i) q^{54} +91.8834i q^{55} +(3.74748 + 14.2806i) q^{56} +(104.325 - 7.31023i) q^{57} +(44.0742 - 34.7261i) q^{58} +(-69.2241 + 12.2061i) q^{59} +(71.5431 + 12.0010i) q^{60} +(25.1234 + 21.0811i) q^{61} +(89.9694 + 55.7081i) q^{62} +(-7.80196 - 14.6631i) q^{63} +(-21.2666 - 60.3633i) q^{64} +(7.61269 - 43.1737i) q^{65} +(-67.5125 + 61.3088i) q^{66} +(25.3557 - 69.6641i) q^{67} +(16.3140 + 7.10394i) q^{68} +(-36.7864 - 10.5426i) q^{69} +(-21.8443 - 4.54972i) q^{70} +(81.7673 - 47.2083i) q^{71} +(38.9189 + 60.5749i) q^{72} +(-42.1159 + 72.9468i) q^{73} +(-3.59643 - 3.21167i) q^{74} +(-20.3535 + 28.0227i) q^{75} +(138.553 - 15.7109i) q^{76} +(21.4879 - 18.0305i) q^{77} +(36.8020 - 23.2139i) q^{78} +(-0.961540 - 2.64181i) q^{79} +(95.9900 + 11.8906i) q^{80} +(-58.2990 - 56.2337i) q^{81} +(94.2158 + 2.90384i) q^{82} +(-19.3208 - 53.0836i) q^{83} +(-11.2325 - 19.0861i) q^{84} +(-20.6002 + 17.2856i) q^{85} +(30.9445 - 4.47828i) q^{86} +(-49.4620 + 68.0992i) q^{87} +(-86.4236 + 85.5350i) q^{88} +(55.7439 - 96.5512i) q^{89} +(-108.167 + 11.8484i) q^{90} +(-11.5905 + 6.69178i) q^{91} +(-49.6068 - 11.9377i) q^{92} +(-152.587 - 43.7299i) q^{93} +(15.3667 - 38.4871i) q^{94} +(-72.0767 + 198.029i) q^{95} +(55.3121 + 78.4638i) q^{96} +(-13.0319 + 73.9076i) q^{97} +(-43.1396 - 80.3384i) q^{98} +(72.4563 - 116.029i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} - 3q^{10} + 39q^{12} - 12q^{13} + 39q^{14} - 6q^{16} - 6q^{17} - 27q^{18} - 69q^{20} - 12q^{21} - 6q^{22} - 138q^{24} - 12q^{25} - 174q^{26} - 12q^{28} + 60q^{29} - 153q^{30} - 96q^{32} + 48q^{33} + 6q^{34} + 24q^{36} - 6q^{37} + 72q^{38} + 69q^{40} - 192q^{41} - 126q^{42} - 219q^{44} - 132q^{45} - 3q^{46} - 219q^{48} - 12q^{49} - 165q^{50} + 21q^{52} - 24q^{53} + 78q^{54} + 99q^{56} - 150q^{57} - 141q^{58} + 210q^{60} - 12q^{61} + 294q^{62} - 3q^{64} - 156q^{65} + 393q^{66} + 375q^{68} - 60q^{69} - 165q^{70} + 228q^{72} - 6q^{73} + 447q^{74} - 54q^{76} + 132q^{77} + 750q^{78} + 798q^{80} + 228q^{81} - 12q^{82} + 762q^{84} + 138q^{85} + 606q^{86} - 198q^{88} - 114q^{89} + 894q^{90} + 723q^{92} - 1020q^{93} - 357q^{94} + 474q^{96} + 168q^{97} + 510q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.89957 + 0.625818i −0.949783 + 0.312909i
\(3\) 2.48687 1.67794i 0.828957 0.559312i
\(4\) 3.21670 2.37757i 0.804176 0.594392i
\(5\) 1.04974 + 5.95339i 0.209949 + 1.19068i 0.889460 + 0.457013i \(0.151081\pi\)
−0.679512 + 0.733665i \(0.737808\pi\)
\(6\) −3.67389 + 4.74368i −0.612315 + 0.790614i
\(7\) 1.18627 1.41374i 0.169467 0.201963i −0.674626 0.738160i \(-0.735695\pi\)
0.844093 + 0.536197i \(0.180139\pi\)
\(8\) −4.62241 + 6.52942i −0.577802 + 0.816177i
\(9\) 3.36905 8.34563i 0.374339 0.927292i
\(10\) −5.71979 10.6519i −0.571979 1.06519i
\(11\) 14.9684 + 2.63934i 1.36077 + 0.239940i 0.805925 0.592017i \(-0.201668\pi\)
0.554840 + 0.831957i \(0.312779\pi\)
\(12\) 4.01012 11.3101i 0.334176 0.942511i
\(13\) −6.81461 2.48032i −0.524201 0.190794i 0.0663462 0.997797i \(-0.478866\pi\)
−0.590547 + 0.807003i \(0.701088\pi\)
\(14\) −1.36865 + 3.42789i −0.0977610 + 0.244849i
\(15\) 12.6000 + 13.0439i 0.839999 + 0.869593i
\(16\) 4.69435 15.2959i 0.293397 0.955991i
\(17\) 2.22420 + 3.85243i 0.130835 + 0.226614i 0.923999 0.382395i \(-0.124901\pi\)
−0.793163 + 0.609009i \(0.791567\pi\)
\(18\) −1.17689 + 17.9615i −0.0653829 + 0.997860i
\(19\) 30.1899 + 17.4301i 1.58894 + 0.917376i 0.993482 + 0.113990i \(0.0363633\pi\)
0.595459 + 0.803385i \(0.296970\pi\)
\(20\) 17.5313 + 16.6544i 0.876564 + 0.832722i
\(21\) 0.577931 5.50628i 0.0275205 0.262204i
\(22\) −30.0853 + 4.35392i −1.36751 + 0.197905i
\(23\) −8.19924 9.77147i −0.356489 0.424847i 0.557759 0.830003i \(-0.311661\pi\)
−0.914247 + 0.405157i \(0.867217\pi\)
\(24\) −0.539396 + 23.9939i −0.0224748 + 0.999747i
\(25\) −10.8485 + 3.94854i −0.433941 + 0.157942i
\(26\) 14.4970 + 0.446815i 0.557578 + 0.0171852i
\(27\) −5.62504 26.4076i −0.208335 0.978058i
\(28\) 0.454613 7.36803i 0.0162362 0.263144i
\(29\) −26.3635 + 9.59554i −0.909087 + 0.330881i −0.753888 0.657003i \(-0.771824\pi\)
−0.155199 + 0.987883i \(0.549602\pi\)
\(30\) −32.0976 16.8924i −1.06992 0.563082i
\(31\) −34.0099 40.5314i −1.09709 1.30747i −0.947868 0.318662i \(-0.896767\pi\)
−0.149225 0.988803i \(1.45232\pi\)
\(32\) 0.655192 + 31.9933i 0.0204747 + 0.999790i
\(33\) 41.6532 18.5524i 1.26222 0.562193i
\(34\) −6.63594 5.92600i −0.195175 0.174294i
\(35\) 9.66183 + 5.57826i 0.276052 + 0.159379i
\(36\) −9.00504 34.8555i −0.250140 0.968210i
\(37\) 1.20543 + 2.08787i 0.0325793 + 0.0564289i 0.881855 0.471520i \(-0.156295\pi\)
−0.849276 + 0.527949i \(0.822961\pi\)
\(38\) −68.2558 14.2163i −1.79620 0.374114i
\(39\) −21.1089 + 5.26627i −0.541253 + 0.135032i
\(40\) −43.7245 20.6648i −1.09311 0.516620i
\(41\) −44.2880 16.1195i −1.08019 0.393159i −0.260214 0.965551i \(-0.583793\pi\)
−0.819980 + 0.572392i \(0.806015\pi\)
\(42\) 2.34811 + 10.8212i 0.0559075 + 0.257648i
\(43\) −15.3959 2.71472i −0.358045 0.0631330i −0.00826772 0.999966i \(-0.502632\pi\)
−0.349778 + 0.936833i \(0.613743\pi\)
\(44\) 54.4242 27.0985i 1.23691 0.615874i
\(45\) 53.2214 + 11.2965i 1.18270 + 0.251034i
\(46\) 21.6902 + 13.4303i 0.471525 + 0.291964i
\(47\) −13.3190 + 15.8730i −0.283383 + 0.337723i −0.888893 0.458115i \(-0.848525\pi\)
0.605510 + 0.795838i \(0.292969\pi\)
\(48\) −13.9912 45.9156i −0.291484 0.956576i
\(49\) 7.91733 + 44.9014i 0.161578 + 0.916355i
\(50\) 18.1364 14.2897i 0.362729 0.285795i
\(51\) 11.9954 + 5.84843i 0.235205 + 0.114675i
\(52\) −27.8177 + 8.22376i −0.534956 + 0.158149i
\(53\) −77.1717 −1.45607 −0.728035 0.685540i \(-0.759566\pi\)
−0.728035 + 0.685540i \(0.759566\pi\)
\(54\) 27.2115 + 46.6426i 0.503916 + 0.863753i
\(55\) 91.8834i 1.67061i
\(56\) 3.74748 + 14.2806i 0.0669193 + 0.255010i
\(57\) 104.325 7.31023i 1.83026 0.128250i
\(58\) 44.0742 34.7261i 0.759900 0.598726i
\(59\) −69.2241 + 12.2061i −1.17329 + 0.206883i −0.726121 0.687567i \(-0.758679\pi\)
−0.447169 + 0.894450i \(0.647568\pi\)
\(60\) 71.5431 + 12.0010i 1.19239 + 0.200017i
\(61\) 25.1234 + 21.0811i 0.411859 + 0.345591i 0.825056 0.565051i \(-0.191143\pi\)
−0.413197 + 0.910642i \(0.635588\pi\)
\(62\) 89.9694 + 55.7081i 1.45112 + 0.898518i
\(63\) −7.80196 14.6631i −0.123841 0.232748i
\(64\) −21.2666 60.3633i −0.332290 0.943177i
\(65\) 7.61269 43.1737i 0.117118 0.664211i
\(66\) −67.5125 + 61.3088i −1.02292 + 0.928921i
\(67\) 25.3557 69.6641i 0.378443 1.03976i −0.593559 0.804790i \(-0.702278\pi\)
0.972002 0.234973i \(-0.0755001\pi\)
\(68\) 16.3140 + 7.10394i 0.239912 + 0.104470i
\(69\) −36.7864 10.5426i −0.533136 0.152791i
\(70\) −21.8443 4.54972i −0.312061 0.0649961i
\(71\) 81.7673 47.2083i 1.15165 0.664906i 0.202362 0.979311i \(-0.435138\pi\)
0.949289 + 0.314404i \(0.101805\pi\)
\(72\) 38.9189 + 60.5749i 0.540540 + 0.841318i
\(73\) −42.1159 + 72.9468i −0.576930 + 0.999272i 0.418899 + 0.908033i \(0.362416\pi\)
−0.995829 + 0.0912391i \(0.970917\pi\)
\(74\) −3.59643 3.21167i −0.0486004 0.0434009i
\(75\) −20.3535 + 28.0227i −0.271380 + 0.373636i
\(76\) 138.553 15.7109i 1.82307 0.206722i
\(77\) 21.4879 18.0305i 0.279064 0.234163i
\(78\) 36.8020 23.2139i 0.471820 0.297615i
\(79\) −0.961540 2.64181i −0.0121714 0.0334406i 0.933458 0.358686i \(-0.116775\pi\)
−0.945630 + 0.325246i \(0.894553\pi\)
\(80\) 95.9900 + 11.8906i 1.19987 + 0.148632i
\(81\) −58.2990 56.2337i −0.719740 0.694243i
\(82\) 94.2158 + 2.90384i 1.14897 + 0.0354126i
\(83\) −19.3208 53.0836i −0.232781 0.639561i 0.767217 0.641388i \(-0.221641\pi\)
−0.999998 + 0.00182621i \(0.999419\pi\)
\(84\) −11.2325 19.0861i −0.133721 0.227216i
\(85\) −20.6002 + 17.2856i −0.242355 + 0.203360i
\(86\) 30.9445 4.47828i 0.359820 0.0520730i
\(87\) −49.4620 + 68.0992i −0.568528 + 0.782749i
\(88\) −86.4236 + 85.5350i −0.982086 + 0.971988i
\(89\) 55.7439 96.5512i 0.626336 1.08485i −0.361945 0.932199i \(-0.617887\pi\)
0.988281 0.152646i \(-0.0487794\pi\)
\(90\) −108.167 + 11.8484i −1.20186 + 0.131649i
\(91\) −11.5905 + 6.69178i −0.127368 + 0.0735361i
\(92\) −49.6068 11.9377i −0.539205 0.129757i
\(93\) −152.587 43.7299i −1.64072 0.470214i
\(94\) 15.3667 38.4871i 0.163476 0.409437i
\(95\) −72.0767 + 198.029i −0.758702 + 2.08452i
\(96\) 55.3121 + 78.4638i 0.576168 + 0.817331i
\(97\) −13.0319 + 73.9076i −0.134350 + 0.761934i 0.840961 + 0.541096i \(0.181990\pi\)
−0.975310 + 0.220838i \(0.929121\pi\)
\(98\) −43.1396 80.3384i −0.440200 0.819780i
\(99\) 72.4563 116.029i 0.731882 1.17201i
\(100\) −25.5086 + 38.4944i −0.255086 + 0.384944i
\(101\) 9.66252 + 8.10782i 0.0956685 + 0.0802754i 0.689367 0.724412i \(-0.257889\pi\)
−0.593699 + 0.804687i \(0.702333\pi\)
\(102\) −26.4462 3.60251i −0.259276 0.0353187i
\(103\) −112.669 + 19.8667i −1.09388 + 0.192880i −0.691345 0.722525i \(-0.742981\pi\)
−0.402533 + 0.915405i \(0.631870\pi\)
\(104\) 47.6950 33.0304i 0.458606 0.317600i
\(105\) 33.3877 2.33953i 0.317978 0.0222813i
\(106\) 146.593 48.2955i 1.38295 0.455617i
\(107\) 157.069i 1.46793i −0.679186 0.733967i \(-0.737667\pi\)
0.679186 0.733967i \(-0.262333\pi\)
\(108\) −80.8798 71.5714i −0.748887 0.662698i
\(109\) 154.468 1.41714 0.708571 0.705640i \(-0.249340\pi\)
0.708571 + 0.705640i \(0.249340\pi\)
\(110\) −57.5023 174.539i −0.522748 1.58671i
\(111\) 6.50107 + 3.16962i 0.0585682 + 0.0285552i
\(112\) −16.0556 24.7816i −0.143354 0.221265i
\(113\) 1.75642 + 9.96117i 0.0155436 + 0.0881520i 0.991593 0.129398i \(-0.0413045\pi\)
−0.976049 + 0.217550i \(0.930193\pi\)
\(114\) −193.597 + 79.1748i −1.69822 + 0.694516i
\(115\) 49.5663 59.0708i 0.431011 0.513659i
\(116\) −61.9896 + 93.5470i −0.534393 + 0.806440i
\(117\) −43.6586 + 48.5159i −0.373150 + 0.414666i
\(118\) 123.857 66.5080i 1.04964 0.563627i
\(119\) 8.08486 + 1.42558i 0.0679400 + 0.0119796i
\(120\) −143.411 + 21.9762i −1.19509 + 0.183135i
\(121\) 103.385 + 37.6290i 0.854420 + 0.310983i
\(122\) −60.9165 24.3222i −0.499316 0.199362i
\(123\) −137.186 + 34.2253i −1.11533 + 0.278255i
\(124\) −205.766 49.5167i −1.65940 0.399328i
\(125\) 40.6700 + 70.4425i 0.325360 + 0.563540i
\(126\) 23.9968 + 22.9710i 0.190451 + 0.182310i
\(127\) 101.657 + 58.6920i 0.800453 + 0.462141i 0.843629 0.536926i \(-0.180415\pi\)
−0.0431768 + 0.999067i \(0.513748\pi\)
\(128\) 78.1737 + 101.355i 0.610732 + 0.791837i
\(129\) −42.8429 + 19.0823i −0.332115 + 0.147925i
\(130\) 12.5581 + 86.7755i 0.0966007 + 0.667504i
\(131\) 126.400 + 150.637i 0.964884 + 1.14990i 0.988658 + 0.150187i \(0.0479875\pi\)
−0.0237735 + 0.999717i \(0.507568\pi\)
\(132\) 89.8763 158.711i 0.680881 1.20235i
\(133\) 60.4551 22.0039i 0.454550 0.165443i
\(134\) −4.56768 + 148.200i −0.0340871 + 1.10597i
\(135\) 151.310 61.2091i 1.12081 0.453401i
\(136\) −35.4353 3.28479i −0.260554 0.0241529i
\(137\) −88.0013 + 32.0298i −0.642345 + 0.233794i −0.642596 0.766206i \(-0.722142\pi\)
0.000250601 1.00000i \(0.499920\pi\)
\(138\) 76.4759 2.99525i 0.554173 0.0217047i
\(139\) −60.8206 72.4832i −0.437558 0.521462i 0.501529 0.865141i \(-0.332771\pi\)
−0.939087 + 0.343679i \(0.888327\pi\)
\(140\) 44.3419 5.02804i 0.316728 0.0359146i
\(141\) −6.48880 + 61.8226i −0.0460199 + 0.438458i
\(142\) −125.778 + 140.847i −0.885764 + 0.991879i
\(143\) −95.4576 55.1125i −0.667536 0.385402i
\(144\) −111.838 90.7099i −0.776652 0.629930i
\(145\) −84.8008 146.879i −0.584833 1.01296i
\(146\) 34.3504 164.924i 0.235277 1.12962i
\(147\) 95.0311 + 98.3792i 0.646470 + 0.669247i
\(148\) 8.84157 + 3.85006i 0.0597403 + 0.0260139i
\(149\) 64.4681 + 23.4645i 0.432672 + 0.157480i 0.549169 0.835711i \(-0.314944\pi\)
−0.116497 + 0.993191i \(0.537167\pi\)
\(150\) 21.1257 65.9685i 0.140838 0.439790i
\(151\) 160.992 + 28.3872i 1.06617 + 0.187995i 0.679093 0.734052i \(-0.262373\pi\)
0.387078 + 0.922047i \(0.373484\pi\)
\(152\) −253.359 + 116.553i −1.66683 + 0.766796i
\(153\) 39.6444 5.58332i 0.259114 0.0364923i
\(154\) −29.5339 + 47.6977i −0.191779 + 0.309726i
\(155\) 205.598 245.022i 1.32644 1.58078i
\(156\) −55.3801 + 67.1278i −0.355001 + 0.430306i
\(157\) −47.4761 269.250i −0.302395 1.71497i −0.635518 0.772086i \(-0.719213\pi\)
0.333122 0.942884i \(-0.391898\pi\)
\(158\) 3.47980 + 4.41654i 0.0220241 + 0.0279528i
\(159\) −191.916 + 129.489i −1.20702 + 0.814398i
\(160\) −189.781 + 37.4853i −1.18613 + 0.234283i
\(161\) −23.5409 −0.146217
\(162\) 145.935 + 70.3351i 0.900832 + 0.434167i
\(163\) 17.6410i 0.108227i −0.998535 0.0541135i \(-0.982767\pi\)
0.998535 0.0541135i \(-0.0172333\pi\)
\(164\) −180.786 + 53.4460i −1.10236 + 0.325890i
\(165\) 154.175 + 228.502i 0.934392 + 1.38486i
\(166\) 69.9219 + 88.7445i 0.421216 + 0.534605i
\(167\) −71.8336 + 12.6662i −0.430141 + 0.0758455i −0.384527 0.923114i \(-0.625636\pi\)
−0.0456140 + 0.998959i \(0.514524\pi\)
\(168\) 33.2814 + 29.2259i 0.198103 + 0.173964i
\(169\) −89.1745 74.8263i −0.527660 0.442759i
\(170\) 28.3138 45.7271i 0.166552 0.268983i
\(171\) 247.177 193.230i 1.44548 1.13000i
\(172\) −55.9786 + 27.8724i −0.325457 + 0.162049i
\(173\) 32.7910 185.967i 0.189544 1.07495i −0.730434 0.682983i \(-0.760682\pi\)
0.919977 0.391971i \(-0.128207\pi\)
\(174\) 51.3385 160.313i 0.295049 0.921340i
\(175\) −7.28707 + 20.0211i −0.0416404 + 0.114406i
\(176\) 110.638 216.565i 0.628625 1.23048i
\(177\) −151.670 + 146.509i −0.856895 + 0.827732i
\(178\) −45.4656 + 218.291i −0.255425 + 1.22635i
\(179\) −75.9146 + 43.8293i −0.424104 + 0.244856i −0.696832 0.717235i \(-0.745407\pi\)
0.272728 + 0.962091i \(0.412074\pi\)
\(180\) 198.056 90.1998i 1.10031 0.501110i
\(181\) −27.2674 + 47.2286i −0.150649 + 0.260931i −0.931466 0.363828i \(-0.881470\pi\)
0.780817 + 0.624759i \(0.214803\pi\)
\(182\) 17.8291 19.9650i 0.0979620 0.109698i
\(183\) 97.8514 + 10.2703i 0.534707 + 0.0561220i
\(184\) 101.702 8.36845i 0.552730 0.0454807i
\(185\) −11.1645 + 9.36813i −0.0603487 + 0.0506386i
\(186\) 317.217 12.4241i 1.70547 0.0667963i
\(187\) 23.1249 + 63.5353i 0.123663 + 0.339761i
\(188\) −5.10423 + 82.7255i −0.0271502 + 0.440029i
\(189\) −44.0063 23.3742i −0.232838 0.123673i
\(190\) 12.9842 421.276i 0.0683379 2.21724i
\(191\) 99.4836 + 273.329i 0.520857 + 1.43104i 0.869569 + 0.493812i \(0.164397\pi\)
−0.348712 + 0.937230i \(0.613381\pi\)
\(192\) −154.173 114.432i −0.802985 0.595999i
\(193\) −226.587 + 190.129i −1.17402 + 0.985123i −0.174024 + 0.984741i \(0.555677\pi\)
−1.00000 0.000381565i \(0.999879\pi\)
\(194\) −21.4978 148.548i −0.110813 0.765711i
\(195\) −53.5110 120.141i −0.274415 0.616108i
\(196\) 132.224 + 125.611i 0.674611 + 0.640870i
\(197\) −29.4010 + 50.9239i −0.149243 + 0.258497i −0.930948 0.365152i \(-0.881017\pi\)
0.781705 + 0.623649i \(0.214350\pi\)
\(198\) −65.0226 + 265.749i −0.328397 + 1.34217i
\(199\) −120.558 + 69.6042i −0.605819 + 0.349770i −0.771328 0.636438i \(-0.780407\pi\)
0.165508 + 0.986208i \(0.447074\pi\)
\(200\) 24.3647 89.0864i 0.121824 0.445432i
\(201\) −53.8358 215.791i −0.267840 1.07359i
\(202\) −23.4286 9.35435i −0.115983 0.0463087i
\(203\) −17.7087 + 48.6541i −0.0872348 + 0.239676i
\(204\) 52.4908 9.70732i 0.257308 0.0475849i
\(205\) 49.4747 280.585i 0.241340 1.36871i
\(206\) 201.590 108.249i 0.978593 0.525479i
\(207\) −109.173 + 35.5072i −0.527404 + 0.171532i
\(208\) −69.9287 + 92.5918i −0.336196 + 0.445153i
\(209\) 405.891 + 340.583i 1.94206 + 1.62958i
\(210\) −61.9580 + 25.3387i −0.295038 + 0.120661i
\(211\) 63.2035 11.1445i 0.299543 0.0528174i −0.0218570 0.999761i \(-0.506958\pi\)
0.321400 + 0.946944i \(0.395847\pi\)
\(212\) −248.238 + 183.481i −1.17094 + 0.865475i
\(213\) 124.132 254.601i 0.582779 1.19531i
\(214\) 98.2966 + 298.363i 0.459330 + 1.39422i
\(215\) 94.5078i 0.439571i
\(216\) 198.427 + 85.3385i 0.918644 + 0.395085i
\(217\) −97.6459 −0.449981
\(218\) −293.423 + 96.6692i −1.34598 + 0.443437i
\(219\) 17.6635 + 252.077i 0.0806551 + 1.15104i
\(220\) 218.459 + 295.562i 0.992995 + 1.34346i
\(221\) −5.60183 31.7696i −0.0253477 0.143754i
\(222\) −14.3328 1.95242i −0.0645623 0.00879469i
\(223\) 40.5997 48.3849i 0.182062 0.216973i −0.667293 0.744795i \(-0.732547\pi\)
0.849354 + 0.527823i \(0.176992\pi\)
\(224\) 46.0075 + 37.0264i 0.205391 + 0.165297i
\(225\) −3.59622 + 103.841i −0.0159832 + 0.461514i
\(226\) −9.57033 17.8227i −0.0423466 0.0788615i
\(227\) 223.183 + 39.3532i 0.983184 + 0.173362i 0.642058 0.766656i \(-0.278081\pi\)
0.341126 + 0.940018i \(0.389192\pi\)
\(228\) 318.202 271.555i 1.39562 1.19103i
\(229\) 200.458 + 72.9608i 0.875363 + 0.318606i 0.740337 0.672236i \(-0.234666\pi\)
0.135026 + 0.990842i \(0.456888\pi\)
\(230\) −57.1868 + 143.228i −0.248638 + 0.622732i
\(231\) 23.1837 80.8950i 0.100362 0.350195i
\(232\) 59.2099 216.493i 0.255215 0.933159i
\(233\) 106.877 + 185.117i 0.458701 + 0.794494i 0.998893 0.0470483i \(-0.0149815\pi\)
−0.540191 + 0.841542i \(0.681648\pi\)
\(234\) 52.5702 119.482i 0.224659 0.510605i
\(235\) −108.480 62.6307i −0.461615 0.266514i
\(236\) −193.653 + 203.848i −0.820562 + 0.863764i
\(237\) −6.82402 4.95644i −0.0287933 0.0209132i
\(238\) −16.2499 + 2.35167i −0.0682768 + 0.00988097i
\(239\) −193.541 230.653i −0.809795 0.965076i 0.190066 0.981771i \(-0.439130\pi\)
−0.999861 + 0.0166953i \(0.994685\pi\)
\(240\) 258.666 131.495i 1.07778 0.547895i
\(241\) −132.174 + 48.1075i −0.548441 + 0.199616i −0.601354 0.798983i \(-0.705372\pi\)
0.0529129 + 0.998599i \(0.483149\pi\)
\(242\) −219.935 6.77864i −0.908823 0.0280109i
\(243\) −239.339 42.0240i −0.984933 0.172938i
\(244\) 130.936 + 8.07887i 0.536624 + 0.0331101i
\(245\) −259.004 + 94.2699i −1.05716 + 0.384775i
\(246\) 239.175 150.867i 0.972256 0.613279i
\(247\) −162.500 193.660i −0.657895 0.784049i
\(248\) 421.854 34.7118i 1.70103 0.139967i
\(249\) −137.119 99.5929i −0.550680 0.399971i
\(250\) −121.339 108.358i −0.485358 0.433432i
\(251\) −230.389 133.015i −0.917885 0.529941i −0.0349254 0.999390i \(-0.511119\pi\)
−0.882960 + 0.469449i \(0.844453\pi\)
\(252\) −59.9592 28.6173i −0.237933 0.113561i
\(253\) −96.9395 167.904i −0.383160 0.663652i
\(254\) −229.836 47.8702i −0.904865 0.188465i
\(255\) −22.2258 + 77.5529i −0.0871601 + 0.304129i
\(256\) −211.926 143.608i −0.827836 0.560970i
\(257\) 314.780 + 114.571i 1.22482 + 0.445800i 0.871822 0.489823i \(-0.162938\pi\)
0.353003 + 0.935622i \(0.385161\pi\)
\(258\) 69.4408 63.0599i 0.269150 0.244418i
\(259\) 4.38168 + 0.772609i 0.0169177 + 0.00298304i
\(260\) −78.1606 156.977i −0.300618 0.603757i
\(261\) −8.73934 + 252.348i −0.0334841 + 0.966850i
\(262\) −334.377 207.042i −1.27625 0.790238i
\(263\) −134.835 + 160.690i −0.512679 + 0.610987i −0.958834 0.283969i \(-0.908349\pi\)
0.446154 + 0.894956i \(0.352793\pi\)
\(264\) −71.4020 + 357.728i −0.270462 + 1.35503i
\(265\) −81.0104 459.433i −0.305700 1.73371i
\(266\) −101.068 + 79.6317i −0.379955 + 0.299367i
\(267\) −23.3791 333.645i −0.0875621 1.24961i
\(268\) −84.0695 284.374i −0.313692 1.06110i
\(269\) 244.709 0.909697 0.454849 0.890569i \(-0.349693\pi\)
0.454849 + 0.890569i \(0.349693\pi\)
\(270\) −249.117 + 210.963i −0.922654 + 0.781345i
\(271\) 431.195i 1.59113i 0.605870 + 0.795563i \(0.292825\pi\)
−0.605870 + 0.795563i \(0.707175\pi\)
\(272\) 69.3674 15.9364i 0.255027 0.0585897i
\(273\) −17.5957 + 36.0897i −0.0644531 + 0.132197i
\(274\) 147.119 115.916i 0.536932 0.423050i
\(275\) −172.807 + 30.4705i −0.628389 + 0.110802i
\(276\) −143.396 + 53.5497i −0.519553 + 0.194021i
\(277\) 24.8240 + 20.8298i 0.0896175 + 0.0751980i 0.686496 0.727134i \(-0.259148\pi\)
−0.596878 + 0.802332i \(0.703592\pi\)
\(278\) 160.894 + 99.6240i 0.578756 + 0.358360i
\(279\) −452.841 + 147.281i −1.62309 + 0.527890i
\(280\) −81.0838 + 37.3011i −0.289585 + 0.133218i
\(281\) 22.5038 127.625i 0.0800847 0.454183i −0.918225 0.396060i \(-0.870377\pi\)
0.998309 0.0581231i \(-0.0185116\pi\)
\(282\) −26.3638 121.497i −0.0934886 0.430840i
\(283\) −30.9916 + 85.1487i −0.109511 + 0.300879i −0.982328 0.187169i \(-0.940069\pi\)
0.872817 + 0.488048i \(0.162291\pi\)
\(284\) 150.780 346.262i 0.530915 1.21923i
\(285\) 153.035 + 613.413i 0.536965 + 2.15233i
\(286\) 215.818 + 44.9507i 0.754610 + 0.157170i
\(287\) −75.3264 + 43.4897i −0.262461 + 0.151532i
\(288\) 269.211 + 102.319i 0.934762 + 0.355275i
\(289\) 134.606 233.144i 0.465764 0.806727i
\(290\) 253.005 + 225.937i 0.872430 + 0.779094i
\(291\) 91.6036 + 205.665i 0.314789 + 0.706754i
\(292\) 37.9617 + 334.782i 0.130006 + 1.14651i
\(293\) −198.471 + 166.537i −0.677376 + 0.568386i −0.915238 0.402913i \(-0.867998\pi\)
0.237862 + 0.971299i \(0.423553\pi\)
\(294\) −242.085 127.406i −0.823420 0.433353i
\(295\) −145.335 399.305i −0.492661 1.35357i
\(296\) −19.2046 1.78023i −0.0648804 0.00601429i
\(297\) −14.4995 410.126i −0.0488198 1.38089i
\(298\) −137.146 4.22699i −0.460221 0.0141845i
\(299\) 31.6383 + 86.9255i 0.105814 + 0.290721i
\(300\) 1.15464 + 138.532i 0.00384881 + 0.461775i
\(301\) −22.1017 + 18.5455i −0.0734275 + 0.0616130i
\(302\) −323.580 + 46.8283i −1.07146 + 0.155061i
\(303\) 37.6338 + 3.94999i 0.124204 + 0.0130363i
\(304\) 408.331 379.957i 1.34319 1.24986i
\(305\) −99.1305 + 171.699i −0.325018 + 0.562948i
\(306\) −71.8131 + 35.4161i −0.234683 + 0.115739i
\(307\) −144.159 + 83.2302i −0.469573 + 0.271108i −0.716061 0.698038i \(-0.754057\pi\)
0.246488 + 0.969146i \(0.420723\pi\)
\(308\) 26.2515 109.088i 0.0852323 0.354181i
\(309\) −246.859 + 238.458i −0.798897 + 0.771709i
\(310\) −237.207 + 594.101i −0.765184 + 1.91646i
\(311\) 120.701 331.622i 0.388105 1.06631i −0.579749 0.814795i \(-0.696849\pi\)
0.967854 0.251514i \(-0.0809285\pi\)
\(312\) 63.1883 162.172i 0.202527 0.519781i
\(313\) −17.1825 + 97.4466i −0.0548961 + 0.311331i −0.999875 0.0157996i \(-0.994971\pi\)
0.944979 + 0.327131i \(0.106082\pi\)
\(314\) 258.686 + 481.747i 0.823840 + 1.53423i
\(315\) 79.1053 61.8406i 0.251128 0.196319i
\(316\) −9.37407 6.21179i −0.0296648 0.0196576i
\(317\) −109.898 92.2151i −0.346681 0.290899i 0.452775 0.891625i \(-0.350434\pi\)
−0.799455 + 0.600725i \(0.794879\pi\)
\(318\) 283.520 366.078i 0.891573 1.15119i
\(319\) −419.946 + 74.0478i −1.31645 + 0.232125i
\(320\) 337.042 189.974i 1.05326 0.593669i
\(321\) −263.552 390.610i −0.821033 1.21685i
\(322\) 44.7174 14.7323i 0.138874 0.0457525i
\(323\) 155.073i 0.480101i
\(324\) −321.230 42.2775i −0.991450 0.130486i
\(325\) 83.7222 0.257607
\(326\) 11.0401 + 33.5103i 0.0338652 + 0.102792i
\(327\) 384.143 259.188i 1.17475 0.792625i
\(328\) 309.968 214.664i 0.945025 0.654462i
\(329\) 6.64036 + 37.6593i 0.0201835 + 0.114466i
\(330\) −435.866 337.570i −1.32081 1.02294i
\(331\) 353.872 421.728i 1.06910 1.27410i 0.109121 0.994028i \(-0.465196\pi\)
0.959978 0.280075i \(-0.0903592\pi\)
\(332\) −188.359 124.818i −0.567347 0.375956i
\(333\) 21.4858 3.02594i 0.0645218 0.00908692i
\(334\) 128.526 69.0151i 0.384808 0.206632i
\(335\) 441.354 + 77.8227i 1.31748 + 0.232307i
\(336\) −81.5103 34.6884i −0.242590 0.103239i
\(337\) 207.435 + 75.5002i 0.615534 + 0.224036i 0.630923 0.775845i \(-0.282676\pi\)
−0.0153886 + 0.999882i \(0.504899\pi\)
\(338\) 216.221 + 86.3305i 0.639706 + 0.255416i
\(339\) 21.0822 + 21.8250i 0.0621895 + 0.0643805i
\(340\) −25.1670 + 104.581i −0.0740205 + 0.307591i
\(341\) −402.098 696.455i −1.17917 2.04239i
\(342\) −348.601 + 521.742i −1.01930 + 1.52556i
\(343\) 151.186 + 87.2872i 0.440775 + 0.254482i
\(344\) 88.8920 87.9780i 0.258407 0.255750i
\(345\) 24.1478 230.070i 0.0699938 0.666871i
\(346\) 54.0929 + 373.778i 0.156338 + 1.08028i
\(347\) 3.78870 + 4.51520i 0.0109184 + 0.0130121i 0.771476 0.636258i \(-0.219519\pi\)
−0.760558 + 0.649270i \(0.775074\pi\)
\(348\) 2.80595 + 336.654i 0.00806307 + 0.967397i
\(349\) 101.678 37.0077i 0.291341 0.106039i −0.192215 0.981353i \(-0.561567\pi\)
0.483556 + 0.875313i \(0.339345\pi\)
\(350\) 1.31272 42.5917i 0.00375064 0.121691i
\(351\) −27.1666 + 193.909i −0.0773978 + 0.552448i
\(352\) −74.6339 + 480.618i −0.212028 + 1.36539i
\(353\) 97.3695 35.4396i 0.275834 0.100395i −0.200399 0.979714i \(-0.564224\pi\)
0.476233 + 0.879319i \(0.342002\pi\)
\(354\) 196.420 373.221i 0.554859 1.05430i
\(355\) 366.884 + 437.235i 1.03348 + 1.23165i
\(356\) −50.2455 443.111i −0.141139 1.24469i
\(357\) 22.4980 10.0207i 0.0630197 0.0280691i
\(358\) 116.776 130.765i 0.326189 0.365266i
\(359\) 45.6398 + 26.3501i 0.127130 + 0.0733987i 0.562217 0.826990i \(-0.309949\pi\)
−0.435086 + 0.900389i \(0.643282\pi\)
\(360\) −319.771 + 295.287i −0.888253 + 0.820243i
\(361\) 427.119 + 739.793i 1.18316 + 2.04929i
\(362\) 22.2398 106.778i 0.0614359 0.294968i
\(363\) 320.244 79.8947i 0.882214 0.220096i
\(364\) −21.3731 + 49.0827i −0.0587172 + 0.134843i
\(365\) −478.492 174.157i −1.31094 0.477142i
\(366\) −192.303 + 41.7280i −0.525417 + 0.114011i
\(367\) 515.305 + 90.8621i 1.40410 + 0.247581i 0.823827 0.566841i \(-0.191835\pi\)
0.580273 + 0.814422i \(0.302946\pi\)
\(368\) −187.953 + 79.5436i −0.510742 + 0.216151i
\(369\) −283.736 + 315.303i −0.768932 + 0.854481i
\(370\) 15.3450 24.7823i 0.0414729 0.0669793i
\(371\) −91.5465 + 109.101i −0.246756 + 0.294072i
\(372\) −594.799 + 222.121i −1.59892 + 0.597098i
\(373\) 49.7399 + 282.089i 0.133351 + 0.756271i 0.975994 + 0.217798i \(0.0698875\pi\)
−0.842643 + 0.538473i \(0.819001\pi\)
\(374\) −83.6889 106.217i −0.223767 0.284004i
\(375\) 219.339 + 106.940i 0.584904 + 0.285172i
\(376\) −42.0753 160.337i −0.111902 0.426428i
\(377\) 203.457 0.539674
\(378\) 98.2209 + 16.8608i 0.259844 + 0.0446053i
\(379\) 341.343i 0.900640i −0.892867 0.450320i \(-0.851310\pi\)
0.892867 0.450320i \(-0.148690\pi\)
\(380\) 238.978 + 808.368i 0.628890 + 2.12728i
\(381\) 351.290 24.6155i 0.922022 0.0646076i
\(382\) −360.030 456.948i −0.942487 1.19620i
\(383\) 398.644 70.2917i 1.04085 0.183529i 0.373002 0.927831i \(-0.378329\pi\)
0.667844 + 0.744301i \(0.267217\pi\)
\(384\) 364.476 + 120.887i 0.949155 + 0.314809i
\(385\) 129.899 + 108.999i 0.337401 + 0.283113i
\(386\) 311.430 502.964i 0.806814 1.30302i
\(387\) −74.5258 + 119.343i −0.192573 + 0.308379i
\(388\) 133.800 + 268.723i 0.344847 + 0.692585i
\(389\) 54.3292 308.116i 0.139664 0.792073i −0.831834 0.555025i \(-0.812709\pi\)
0.971498 0.237049i \(-0.0761801\pi\)
\(390\) 176.834 + 194.728i 0.453421 + 0.499302i
\(391\) 19.4072 53.3208i 0.0496347 0.136370i
\(392\) −329.777 155.857i −0.841269 0.397595i
\(393\) 567.100 + 162.525i 1.44300 + 0.413549i
\(394\) 23.9799 115.133i 0.0608627 0.292216i
\(395\) 14.7183 8.49764i 0.0372616 0.0215130i
\(396\) −42.7957 545.500i −0.108070 1.37753i
\(397\) −44.9130 + 77.7916i −0.113131 + 0.195949i −0.917031 0.398816i \(-0.869421\pi\)
0.803900 + 0.594764i \(0.202755\pi\)
\(398\) 185.448 207.665i 0.465951 0.521772i
\(399\) 113.423 156.161i 0.284268 0.391380i
\(400\) 9.46948 + 184.473i 0.0236737 + 0.461183i
\(401\) 346.432 290.691i 0.863919 0.724914i −0.0988896 0.995098i \(-0.531529\pi\)
0.962809 + 0.270184i \(0.0870846\pi\)
\(402\) 237.311 + 376.218i 0.590325 + 0.935865i
\(403\) 131.234 + 360.561i 0.325642 + 0.894693i
\(404\) 50.3583 + 3.10715i 0.124649 + 0.00769096i
\(405\) 273.582 406.107i 0.675511 1.00273i
\(406\) 3.19011 103.504i 0.00785742 0.254936i
\(407\) 12.5328 + 34.4337i 0.0307932 + 0.0846036i
\(408\) −93.6348 + 51.2894i −0.229497 + 0.125709i
\(409\) −446.217 + 374.421i −1.09100 + 0.915454i −0.996787 0.0800985i \(-0.974477\pi\)
−0.0942086 + 0.995552i \(0.530032\pi\)
\(410\) 81.6147 + 563.951i 0.199060 + 1.37549i
\(411\) −165.104 + 227.315i −0.401712 + 0.553077i
\(412\) −315.190 + 331.784i −0.765024 + 0.805301i
\(413\) −64.8623 + 112.345i −0.157052 + 0.272021i
\(414\) 185.160 135.771i 0.447246 0.327948i
\(415\) 295.745 170.749i 0.712639 0.411442i
\(416\) 74.8886 219.647i 0.180021 0.527998i
\(417\) −272.875 78.2032i −0.654377 0.187538i
\(418\) −984.160 392.946i −2.35445 0.940062i
\(419\) 1.24630 3.42418i 0.00297447 0.00817228i −0.938197 0.346103i \(-0.887505\pi\)
0.941171 + 0.337931i \(0.109727\pi\)
\(420\) 101.836 86.9071i 0.242466 0.206922i
\(421\) −99.6390 + 565.081i −0.236672 + 1.34223i 0.602391 + 0.798201i \(0.294215\pi\)
−0.839063 + 0.544034i \(0.816896\pi\)
\(422\) −113.085 + 60.7236i −0.267973 + 0.143895i
\(423\) 87.5976 + 164.633i 0.207086 + 0.389202i
\(424\) 356.719 503.886i 0.841319 1.18841i
\(425\) −39.3408 33.0109i −0.0925667 0.0776726i
\(426\) −76.4626 + 561.316i −0.179490 + 1.31764i
\(427\) 59.6064 10.5102i 0.139593 0.0246141i
\(428\) −373.442 505.244i −0.872527 1.18048i
\(429\) −329.866 + 23.1143i −0.768919 + 0.0538794i
\(430\) 59.1447 + 179.524i 0.137546 + 0.417497i
\(431\) 216.274i 0.501796i −0.968013 0.250898i \(-0.919274\pi\)
0.968013 0.250898i \(-0.0807259\pi\)
\(432\) −430.332 37.9267i −0.996139 0.0877932i
\(433\) −714.916 −1.65108 −0.825538 0.564346i \(-0.809128\pi\)
−0.825538 + 0.564346i \(0.809128\pi\)
\(434\) 185.485 61.1086i 0.427385 0.140803i
\(435\) −457.343 222.980i −1.05136 0.512597i
\(436\) 496.879 367.259i 1.13963 0.842337i
\(437\) −77.2160 437.913i −0.176696 1.00209i
\(438\) −191.307 467.783i −0.436775 1.06800i
\(439\) −253.060 + 301.585i −0.576446 + 0.686982i −0.972941 0.231055i \(-0.925782\pi\)
0.396494 + 0.918037i \(0.370227\pi\)
\(440\) −599.945 424.723i −1.36351 0.965280i
\(441\) 401.404 + 85.2002i 0.910214 + 0.193198i
\(442\) 30.5230 + 56.8427i 0.0690566 + 0.128603i
\(443\) −470.103 82.8918i −1.06118 0.187115i −0.384300 0.923208i \(-0.625557\pi\)
−0.676880 + 0.736093i \(0.736668\pi\)
\(444\) 28.4480 5.26099i 0.0640721 0.0118491i
\(445\) 633.323 + 230.511i 1.42320 + 0.518002i
\(446\) −46.8417 + 117.318i −0.105026 + 0.263046i
\(447\) 199.696 49.8203i 0.446746 0.111455i
\(448\) −110.566 41.5418i −0.246799 0.0927273i
\(449\) 38.7598 + 67.1339i 0.0863247 + 0.149519i 0.905955 0.423374i \(-0.139154\pi\)
−0.819630 + 0.572893i \(0.805821\pi\)
\(450\) −58.1541 199.503i −0.129231 0.443339i
\(451\) −620.376 358.174i −1.37556 0.794178i
\(452\) 29.3332 + 27.8661i 0.0648966 + 0.0616507i
\(453\) 447.998 199.539i 0.988958 0.440483i
\(454\) −448.578 + 64.9180i −0.988058 + 0.142991i
\(455\) −52.0058 61.9781i −0.114298 0.136216i
\(456\) −434.502 + 714.972i −0.952855 + 1.56792i
\(457\) 101.275 36.8611i 0.221608 0.0806589i −0.228830 0.973466i \(-0.573490\pi\)
0.450438 + 0.892808i \(0.351268\pi\)
\(458\) −426.444 13.1435i −0.931100 0.0286975i
\(459\) 89.2221 80.4058i 0.194384 0.175176i
\(460\) 18.9952 307.860i 0.0412940 0.669261i
\(461\) −488.366 + 177.751i −1.05936 + 0.385577i −0.812189 0.583395i \(-0.801724\pi\)
−0.247174 + 0.968971i \(0.579502\pi\)
\(462\) 6.58671 + 168.174i 0.0142569 + 0.364013i
\(463\) −41.3504 49.2795i −0.0893097 0.106435i 0.719539 0.694452i \(-0.244353\pi\)
−0.808849 + 0.588017i \(0.799909\pi\)
\(464\) 23.0122 + 448.297i 0.0495953 + 0.966158i
\(465\) 100.164 954.317i 0.215406 2.05229i
\(466\) −318.870 284.756i −0.684271 0.611065i
\(467\) 355.370 + 205.173i 0.760963 + 0.439342i 0.829641 0.558297i \(-0.188545\pi\)
−0.0686786 + 0.997639i \(0.521878\pi\)
\(468\) −25.0869 + 259.862i −0.0536045 + 0.555262i
\(469\) −68.4085 118.487i −0.145860 0.252637i
\(470\) 245.260 + 51.0827i 0.521829 + 0.108687i
\(471\) −569.852 589.929i −1.20988 1.25250i
\(472\) 240.284 508.415i 0.509076 1.07715i
\(473\) −223.288 81.2702i −0.472068 0.171819i
\(474\) 16.0645 + 5.14448i 0.0338914 + 0.0108533i
\(475\) −396.339 69.8853i −0.834399 0.147127i
\(476\) 29.3960 14.6366i 0.0617563 0.0307492i
\(477\) −259.995 + 644.046i −0.545064 + 1.35020i
\(478\) 511.991 + 317.019i 1.07111 + 0.663221i
\(479\) −307.209 + 366.118i −0.641355 + 0.764337i −0.984584 0.174915i \(-0.944035\pi\)
0.343228 + 0.939252i \(0.388479\pi\)
\(480\) −409.062 + 411.661i −0.852212 + 0.857627i
\(481\) −3.03598 17.2179i −0.00631180 0.0357960i
\(482\) 220.967 174.100i 0.458438 0.361204i
\(483\) −58.5431 + 39.5001i −0.121207 + 0.0817807i
\(484\) 422.023 124.763i 0.871949 0.257775i
\(485\) −453.681 −0.935424
\(486\) 480.939 69.9551i 0.989586 0.143941i
\(487\) 752.283i 1.54473i −0.635180 0.772365i \(-0.719074\pi\)
0.635180 0.772365i \(-0.280926\pi\)
\(488\) −253.778 + 66.5959i −0.520037 + 0.136467i
\(489\) −29.6005 43.8709i −0.0605327 0.0897155i
\(490\) 433.000 341.161i 0.883673 0.696248i
\(491\) 36.7623 6.48218i 0.0748723 0.0132020i −0.136087 0.990697i \(-0.543453\pi\)
0.210959 + 0.977495i \(0.432341\pi\)
\(492\) −359.914 + 436.261i −0.731532 + 0.886710i
\(493\) −95.6040 80.2213i −0.193923 0.162721i
\(494\) 429.876 + 266.175i 0.870194 + 0.538815i
\(495\) 766.825 + 309.560i 1.54914 + 0.625374i
\(496\) −779.617 + 329.942i −1.57181 + 0.665205i
\(497\) 30.2577 171.600i 0.0608806 0.345271i
\(498\) 322.794 + 103.371i 0.648182 + 0.207573i
\(499\) −229.552 + 630.690i −0.460024 + 1.26391i 0.465442 + 0.885078i \(0.345895\pi\)
−0.925467 + 0.378829i \(0.876327\pi\)
\(500\) 298.305 + 129.897i 0.596610 + 0.259794i
\(501\) −157.388 + 152.031i −0.314147 + 0.303456i
\(502\) 520.883 + 108.489i 1.03762 + 0.216115i
\(503\) −99.4014 + 57.3894i −0.197617 + 0.114094i −0.595544 0.803323i \(-0.703063\pi\)
0.397926 + 0.917417i \(0.369730\pi\)
\(504\) 131.806 + 16.8369i 0.261519 + 0.0334066i
\(505\) −38.1258 + 66.0358i −0.0754966 + 0.130764i
\(506\) 289.220 + 258.278i 0.571582 + 0.510432i
\(507\) −347.319 36.4541i −0.685048 0.0719016i
\(508\) 466.546 52.9028i 0.918398 0.104139i
\(509\) −149.473 + 125.422i −0.293659 + 0.246410i −0.777699 0.628636i \(-0.783613\pi\)
0.484040 + 0.875046i \(0.339169\pi\)
\(510\) −6.31458 161.226i −0.0123815 0.316130i
\(511\) 53.1672 + 146.076i 0.104045 + 0.285862i
\(512\) 492.440 + 140.166i 0.961798 + 0.273762i
\(513\) 290.468 895.286i 0.566215 1.74520i
\(514\) −669.646 20.6392i −1.30281 0.0401541i
\(515\) −236.548 649.910i −0.459316 1.26196i
\(516\) −92.4434 + 163.244i −0.179154 + 0.316364i
\(517\) −241.259 + 202.440i −0.466652 + 0.391567i
\(518\) −8.80680 + 1.27452i −0.0170016 + 0.00246045i
\(519\) −230.494 517.498i −0.444112 0.997105i
\(520\) 246.710 + 249.273i 0.474443 + 0.479372i
\(521\) −84.2253 + 145.882i −0.161661 + 0.280005i −0.935464 0.353421i \(-0.885018\pi\)
0.773804 + 0.633426i \(0.218352\pi\)
\(522\) −141.323 484.821i −0.270734 0.928776i
\(523\) −131.568 + 75.9606i −0.251563 + 0.145240i −0.620480 0.784222i \(-0.713062\pi\)
0.368917 + 0.929462i \(0.379729\pi\)
\(524\) 764.741 + 184.032i 1.45943 + 0.351206i
\(525\) 15.4721 + 62.0171i 0.0294706 + 0.118128i
\(526\) 155.565 389.623i 0.295750 0.740727i
\(527\) 80.4996 221.171i 0.152751 0.419679i
\(528\) −88.2398 724.212i −0.167121 1.37161i
\(529\) 63.6057 360.726i 0.120238 0.681902i
\(530\) 441.406 + 822.025i 0.832842 + 1.55099i
\(531\) −131.352 + 618.841i −0.247368 + 1.16543i
\(532\) 142.150 214.516i 0.267200 0.403225i
\(533\) 261.824 + 219.696i 0.491227 + 0.412188i
\(534\) 253.211 + 619.150i 0.474179 + 1.15946i
\(535\) 935.091 164.882i 1.74783 0.308190i
\(536\) 337.662 + 487.574i 0.629966 + 0.909654i
\(537\) −115.247 + 236.378i −0.214613 + 0.440182i
\(538\) −464.840 + 153.143i −0.864015 + 0.284653i
\(539\) 693.000i 1.28571i
\(540\) 341.189 556.640i 0.631831 1.03082i
\(541\) 661.494 1.22272 0.611362 0.791351i \(-0.290622\pi\)
0.611362 + 0.791351i \(0.290622\pi\)
\(542\) −269.850 819.084i −0.497878 1.51123i
\(543\) 11.4360 + 163.204i 0.0210608 + 0.300561i
\(544\) −121.795 + 73.6837i −0.223887 + 0.135448i
\(545\) 162.152 + 919.610i 0.297527 + 1.68736i
\(546\) 10.8386 79.5666i 0.0198509 0.145726i
\(547\) −424.901 + 506.378i −0.776785 + 0.925737i −0.998783 0.0493105i \(-0.984298\pi\)
0.221998 + 0.975047i \(0.428742\pi\)
\(548\) −206.921 + 312.259i −0.377593 + 0.569816i
\(549\) 260.577 138.647i 0.474639 0.252545i
\(550\) 309.189 166.027i 0.562162 0.301866i
\(551\) −963.163 169.832i −1.74803 0.308224i
\(552\) 238.879 191.461i 0.432751 0.346850i
\(553\) −4.87549 1.77453i −0.00881643 0.00320892i
\(554\) −60.1906 24.0323i −0.108647 0.0433796i
\(555\) −12.0455 + 42.0307i −0.0217037 + 0.0757309i
\(556\) −367.976 88.5518i −0.661827 0.159266i
\(557\) −3.82123 6.61856i −0.00686037 0.0118825i 0.862575 0.505929i \(-0.168850\pi\)
−0.869435 + 0.494047i \(0.835517\pi\)
\(558\) 768.030 563.167i 1.37640 1.00926i
\(559\) 98.1841 + 56.6866i 0.175642 + 0.101407i
\(560\) 130.680 121.600i 0.233358 0.217142i
\(561\) 164.117 + 119.202i 0.292544 + 0.212481i
\(562\) 37.1229 + 256.516i 0.0660549 + 0.456435i
\(563\) 256.786 + 306.025i 0.456103 + 0.543562i 0.944263 0.329192i \(-0.106776\pi\)
−0.488160 + 0.872754i \(0.662332\pi\)
\(564\) 126.115 + 214.292i 0.223608 + 0.379951i
\(565\) −57.4589 + 20.9133i −0.101697 + 0.0370148i
\(566\) 5.58295 181.141i 0.00986388 0.320036i
\(567\) −148.658 + 15.7113i −0.262184 + 0.0277095i
\(568\) −69.7192 + 752.109i −0.122745 + 1.32414i
\(569\) −262.682 + 95.6085i −0.461656 + 0.168029i −0.562369 0.826887i \(-0.690110\pi\)
0.100713 + 0.994916i \(0.467888\pi\)
\(570\) −674.585 1069.45i −1.18348 1.87622i
\(571\) 221.416 + 263.873i 0.387768 + 0.462124i 0.924250 0.381788i \(-0.124691\pi\)
−0.536482 + 0.843912i \(0.680247\pi\)
\(572\) −438.092 + 49.6764i −0.765896 + 0.0868468i
\(573\) 706.032 + 512.807i 1.23217 + 0.894951i
\(574\) 115.871 129.752i 0.201865 0.226049i
\(575\) 127.533 + 73.6311i 0.221796 + 0.128054i
\(576\) −575.418 25.8845i −0.998990 0.0449383i
\(577\) 157.192 + 272.264i 0.272429 + 0.471861i 0.969483 0.245158i \(-0.0788397\pi\)
−0.697054 + 0.717018i \(0.745506\pi\)
\(578\) −109.787 + 527.112i −0.189943 + 0.911958i
\(579\) −244.468 + 853.024i −0.422224 + 1.47327i
\(580\) −621.995 270.848i −1.07240 0.466979i
\(581\) −97.9663 35.6568i −0.168617 0.0613715i
\(582\) −302.716 333.348i −0.520131 0.572762i
\(583\) −1155.14 203.682i −1.98137 0.349369i
\(584\) −281.623 612.183i −0.482232 1.04826i
\(585\) −334.664 208.987i −0.572075 0.357243i
\(586\) 272.787 440.555i 0.465507 0.751800i
\(587\) 503.505 600.054i 0.857761 1.02224i −0.141717 0.989907i \(-0.545262\pi\)
0.999477 0.0323320i \(-0.0102934\pi\)
\(588\) 539.590 + 90.5139i 0.917670 + 0.153935i
\(589\) −320.287 1816.44i −0.543780 3.08393i
\(590\) 525.966 + 667.552i 0.891467 + 1.13144i
\(591\) 12.3308 + 175.974i 0.0208643 + 0.297757i
\(592\) 37.5945 8.63692i 0.0635042 0.0145894i
\(593\) 490.712 0.827508 0.413754 0.910389i \(-0.364217\pi\)
0.413754 + 0.910389i \(0.364217\pi\)
\(594\) 284.207 + 769.987i 0.478463 + 1.29627i
\(595\) 49.6288i 0.0834097i
\(596\) 263.163 77.7990i 0.441549 0.130535i
\(597\) −183.021 + 375.386i −0.306568 + 0.628787i
\(598\) −114.499 145.321i −0.191469 0.243012i
\(599\) 384.673 67.8282i 0.642192 0.113236i 0.156937 0.987609i \(-0.449838\pi\)
0.485255 + 0.874373i \(0.338727\pi\)
\(600\) −88.8894 262.429i −0.148149 0.437381i
\(601\) 65.4818 + 54.9458i 0.108955 + 0.0914239i 0.695638 0.718393i \(-0.255122\pi\)
−0.586683 + 0.809817i \(0.699566\pi\)
\(602\) 30.3775 49.0601i 0.0504609 0.0814951i
\(603\) −495.966 446.311i −0.822498 0.740151i
\(604\) 585.356 291.456i 0.969132 0.482543i
\(605\) −115.492 + 654.990i −0.190897 + 1.08263i
\(606\) −73.9599 + 16.0487i −0.122046 + 0.0264830i
\(607\) 273.102 750.341i 0.449921 1.23615i −0.482858 0.875699i \(-0.660401\pi\)
0.932779 0.360449i \(-0.117376\pi\)
\(608\) −537.867 + 977.294i −0.884650 + 1.60739i
\(609\) 37.5994 + 150.711i 0.0617396 + 0.247472i
\(610\) 80.8525 388.191i 0.132545 0.636379i
\(611\) 130.134 75.1329i 0.212985 0.122967i
\(612\) 114.250 112.217i 0.186682 0.183361i
\(613\) 393.511 681.581i 0.641943 1.11188i −0.343056 0.939315i \(-0.611462\pi\)
0.984999 0.172563i \(-0.0552047\pi\)
\(614\) 221.753 248.319i 0.361160 0.404428i
\(615\) −347.766 780.793i −0.565474 1.26958i
\(616\) 18.4026 + 223.648i 0.0298744 + 0.363065i
\(617\) 19.2072 16.1168i 0.0311300 0.0261212i −0.627090 0.778947i \(-0.715754\pi\)
0.658220 + 0.752826i \(0.271310\pi\)
\(618\) 319.694 607.456i 0.517304 0.982938i
\(619\) −10.7828 29.6256i −0.0174198 0.0478604i 0.930678 0.365839i \(-0.119218\pi\)
−0.948098 + 0.317979i \(0.896996\pi\)
\(620\) 78.7909 1276.98i 0.127082 2.05965i
\(621\) −211.920 + 271.487i −0.341256 + 0.437177i
\(622\) −21.7435 + 705.475i −0.0349574 + 1.13420i
\(623\) −70.3712 193.343i −0.112955 0.310342i
\(624\) −18.5405 + 347.600i −0.0297123 + 0.557051i
\(625\) −597.773 + 501.591i −0.956437 + 0.802546i
\(626\) −28.3447 195.859i −0.0452790 0.312875i
\(627\) 1580.88 + 165.926i 2.52133 + 0.264635i
\(628\) −792.877 753.220i −1.26254 1.19940i
\(629\) −5.36225 + 9.28770i −0.00852505 + 0.0147658i
\(630\) −111.565 + 166.976i −0.177087 + 0.265041i
\(631\) 632.428 365.132i 1.00226 0.578657i 0.0933456 0.995634i \(-0.470244\pi\)
0.908917 + 0.416977i \(0.136911\pi\)
\(632\) 21.6941 + 5.93324i 0.0343261 + 0.00938804i
\(633\) 138.479 133.766i 0.218766 0.211321i
\(634\) 266.468 + 106.393i 0.420296 + 0.167812i
\(635\) −242.702 + 666.818i −0.382208 + 1.05011i
\(636\) −309.467 + 872.821i −0.486584 + 1.37236i
\(637\) 57.4162 325.623i 0.0901353 0.511183i
\(638\) 751.375 403.469i 1.17770 0.632396i
\(639\) −118.505 841.446i −0.185454 1.31682i
\(640\) −521.344 + 571.795i −0.814600 + 0.893430i
\(641\) −529.614 444.399i −0.826230 0.693290i 0.128192 0.991749i \(-0.459083\pi\)
−0.954422 + 0.298460i \(0.903527\pi\)
\(642\) 745.085 + 577.054i 1.16057 + 0.898838i
\(643\) 584.297 103.027i 0.908704 0.160229i 0.300289 0.953848i \(-0.402917\pi\)
0.608415 + 0.793619i \(0.291806\pi\)
\(644\) −75.7240 + 55.9700i −0.117584 + 0.0869099i
\(645\) −158.578 235.029i −0.245858 0.364385i
\(646\) −97.0473 294.571i −0.150228 0.455992i
\(647\) 159.465i 0.246468i 0.992378 + 0.123234i \(0.0393266\pi\)
−0.992378 + 0.123234i \(0.960673\pi\)
\(648\) 636.655 120.723i 0.982493 0.186300i
\(649\) −1068.39 −1.64621
\(650\) −159.036 + 52.3949i −0.244670 + 0.0806075i
\(651\) −242.833 + 163.844i −0.373015 + 0.251680i
\(652\) −41.9427 56.7459i −0.0643292 0.0870335i
\(653\) −11.3776 64.5255i −0.0174236 0.0988139i 0.974856 0.222836i \(-0.0715316\pi\)
−0.992279 + 0.124023i \(0.960420\pi\)
\(654\) −567.500 + 732.749i −0.867737 + 1.12041i
\(655\) −764.116 + 910.637i −1.16659 + 1.39029i
\(656\) −454.465 + 601.752i −0.692782 + 0.917304i
\(657\) 466.896 + 597.245i 0.710649 + 0.909049i
\(658\) −36.1817 67.3807i −0.0549874 0.102402i
\(659\) −808.587 142.576i −1.22699 0.216352i −0.477658 0.878546i \(-0.658514\pi\)
−0.749332 + 0.662194i \(0.769625\pi\)
\(660\) 1039.21 + 368.463i 1.57457 + 0.558278i
\(661\) 851.333 + 309.860i 1.28795 + 0.468774i 0.893053 0.449952i \(-0.148559\pi\)
0.394894 + 0.918727i \(0.370781\pi\)
\(662\) −408.278 + 1022.56i −0.616734 + 1.54465i
\(663\) −67.2384 69.6073i −0.101415 0.104988i
\(664\) 435.914 + 119.220i 0.656497 + 0.179549i
\(665\) 194.460 + 336.814i 0.292421 + 0.506487i
\(666\) −38.9199 + 19.1942i −0.0584383 + 0.0288201i
\(667\) 309.923 + 178.934i 0.464653 + 0.268267i
\(668\) −200.953 + 211.533i −0.300827 + 0.316666i
\(669\) 19.7795 188.451i 0.0295658 0.281690i
\(670\) −887.085 + 128.378i −1.32401 + 0.191610i
\(671\) 320.418 + 381.859i 0.477523 + 0.569090i
\(672\) 176.543 + 14.8822i 0.262712 + 0.0221462i
\(673\) −849.317 + 309.126i −1.26199 + 0.459325i −0.884435 0.466663i \(-0.845456\pi\)
−0.377551 + 0.925989i \(0.623234\pi\)
\(674\) −441.286 13.6009i −0.654727 0.0201794i
\(675\) 165.295 + 264.272i 0.244881 + 0.391515i
\(676\) −464.752 28.6756i −0.687504 0.0424195i
\(677\) 1025.28 373.172i 1.51445 0.551214i 0.554694 0.832055i \(-0.312835\pi\)
0.959754 + 0.280840i \(0.0906132\pi\)
\(678\) −53.7056 28.2644i −0.0792117 0.0416878i
\(679\) 89.0269 + 106.098i 0.131115 + 0.156256i
\(680\) −17.6423 214.408i −0.0259446 0.315306i
\(681\) 621.059 276.621i 0.911981 0.406198i
\(682\) 1199.67 + 1071.32i 1.75904 + 1.57085i
\(683\) 550.865 + 318.042i 0.806538 + 0.465655i 0.845752 0.533576i \(-0.179152\pi\)
−0.0392143 + 0.999231i \(0.512485\pi\)
\(684\) 335.676 1209.24i 0.490754 1.76790i
\(685\) −283.065 490.282i −0.413233 0.715741i
\(686\) −341.813 71.1929i −0.498270 0.103780i
\(687\) 620.937 154.912i 0.903839 0.225491i
\(688\) −113.798 + 222.750i −0.165404 + 0.323765i
\(689\) 525.895 + 191.410i 0.763273 + 0.277809i
\(690\) 98.1119 + 452.146i 0.142191 + 0.655284i
\(691\) −645.060 113.741i −0.933516 0.164604i −0.313853 0.949472i \(-0.601620\pi\)
−0.619663 + 0.784868i \(0.712731\pi\)
\(692\) −336.670 676.164i −0.486518 0.977116i
\(693\) −78.0820 240.076i −0.112672 0.346430i
\(694\) −10.0226 6.20588i −0.0144418 0.00894219i
\(695\) 367.674 438.177i 0.529028 0.630471i
\(696\) −216.014 637.740i −0.310365 0.916294i
\(697\) −36.4061 206.469i −0.0522326 0.296226i
\(698\) −169.984 + 133.930i −0.243530 + 0.191877i
\(699\) 576.405 + 281.029i 0.824614 + 0.402044i
\(700\) 24.1611 + 81.7273i 0.0345158 + 0.116753i
\(701\) −349.923 −0.499177 −0.249589 0.968352i \(-0.580295\pi\)
−0.249589 + 0.968352i \(0.580295\pi\)
\(702\) −69.7471 385.345i −0.0993548 0.548924i
\(703\) 84.0434i 0.119550i
\(704\) −159.008 959.674i −0.225863 1.36317i
\(705\) −374.865 + 26.2674i −0.531724 + 0.0372588i
\(706\) −162.781 + 128.255i −0.230568 + 0.181665i
\(707\) 22.9247 4.04225i 0.0324254 0.00571746i
\(708\) −139.544 + 831.881i −0.197097 + 1.17497i
\(709\) 139.215 + 116.815i 0.196353 + 0.164760i 0.735664 0.677347i \(-0.236870\pi\)
−0.539310 + 0.842107i \(0.681315\pi\)
\(710\) −970.551 600.955i −1.36697 0.846415i
\(711\) −25.2870 0.875743i −0.0355655 0.00123171i
\(712\) 372.752 + 810.275i 0.523528 + 1.13803i
\(713\) −117.196 + 664.654i −0.164371 + 0.932193i
\(714\) −36.4654 + 33.1146i −0.0510720 + 0.0463789i
\(715\) 227.900 626.150i 0.318741 0.875734i
\(716\) −139.988 + 321.478i −0.195513 + 0.448991i
\(717\) −868.333 248.855i −1.21106 0.347078i
\(718\) −103.186 21.4916i −0.143713 0.0299326i
\(719\) −74.8435 + 43.2109i −0.104094 + 0.0600987i −0.551143 0.834411i \(-0.685808\pi\)
0.447049 + 0.894509i \(0.352475\pi\)
\(720\) 422.630 761.036i 0.586986 1.05699i
\(721\) −105.570 + 182.853i −0.146422 + 0.253610i
\(722\) −1274.32 1137.99i −1.76498 1.57616i
\(723\) −247.979 + 341.417i −0.342986 + 0.472223i
\(724\) 24.5779 + 216.750i 0.0339473 + 0.299379i
\(725\) 248.117 208.195i 0.342230 0.287165i
\(726\) −558.324 + 352.180i −0.769042 + 0.485096i
\(727\) 115.949 + 318.567i 0.159490 + 0.438194i 0.993538 0.113497i \(-0.0362051\pi\)
−0.834049 + 0.551691i \(0.813983\pi\)
\(728\) 9.88269 106.611i 0.0135751 0.146444i
\(729\) −665.718 + 297.087i −0.913193 + 0.407527i
\(730\) 1017.92 + 31.3733i 1.39441 + 0.0429772i
\(731\) −23.7854 65.3499i −0.0325382 0.0893980i
\(732\) 339.177 199.612i 0.463357 0.272693i
\(733\) −307.759 + 258.240i −0.419862 + 0.352306i −0.828110 0.560565i \(-0.810584\pi\)
0.408249 + 0.912871i \(0.366140\pi\)
\(734\) −1035.72 + 149.889i −1.41106 + 0.204208i
\(735\) −485.931 + 669.030i −0.661131 + 0.910245i
\(736\) 307.249 268.723i 0.417459 0.365113i
\(737\) 563.402 975.840i 0.764453 1.32407i
\(738\) 341.652 776.507i 0.462944 1.05218i
\(739\) 472.153 272.598i 0.638908 0.368874i −0.145286 0.989390i \(-0.546410\pi\)
0.784194 + 0.620516i \(0.213077\pi\)
\(740\) −13.6395 + 56.6789i −0.0184318 + 0.0765930i
\(741\) −729.066 208.943i −0.983895 0.281974i
\(742\) 105.621 264.536i 0.142347 0.356517i
\(743\) 468.474 1287.12i 0.630517 1.73233i −0.0491289 0.998792i \(-0.515645\pi\)
0.679646 0.733540i \(-0.262133\pi\)
\(744\) 990.853 794.169i 1.33179 1.06743i
\(745\) −72.0181 + 408.435i −0.0966686 + 0.548235i
\(746\) −271.021 504.719i −0.363299 0.676567i
\(747\) −508.109 17.5969i −0.680199 0.0235567i
\(748\) 225.445 + 149.393i 0.301398 + 0.199723i
\(749\) −222.055 186.326i −0.296468 0.248767i
\(750\) −483.574 65.8725i −0.644765 0.0878301i
\(751\) −292.724 + 51.6151i −0.389779 + 0.0687285i −0.365103 0.930967i \(-0.618966\pi\)
−0.0246753 + 0.999696i \(0.507855\pi\)
\(752\) 180.267 + 278.239i 0.239716 + 0.369999i
\(753\) −796.139 + 55.7868i −1.05729 + 0.0740861i
\(754\) −386.480 + 127.327i −0.512573 + 0.168869i
\(755\) 988.246i 1.30894i