Properties

Label 588.2.ba.b.187.6
Level $588$
Weight $2$
Character 588.187
Analytic conductor $4.695$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.ba (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 187.6
Character \(\chi\) \(=\) 588.187
Dual form 588.2.ba.b.283.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.18126 - 0.777579i) q^{2} +(-0.988831 - 0.149042i) q^{3} +(0.790741 + 1.83704i) q^{4} +(-3.50311 + 1.37487i) q^{5} +(1.05217 + 0.944952i) q^{6} +(-1.44441 + 2.21668i) q^{7} +(0.494379 - 2.78489i) q^{8} +(0.955573 + 0.294755i) q^{9} +O(q^{10})\) \(q+(-1.18126 - 0.777579i) q^{2} +(-0.988831 - 0.149042i) q^{3} +(0.790741 + 1.83704i) q^{4} +(-3.50311 + 1.37487i) q^{5} +(1.05217 + 0.944952i) q^{6} +(-1.44441 + 2.21668i) q^{7} +(0.494379 - 2.78489i) q^{8} +(0.955573 + 0.294755i) q^{9} +(5.20715 + 1.09987i) q^{10} +(0.139777 + 0.453145i) q^{11} +(-0.508112 - 1.93438i) q^{12} +(2.84482 + 0.649311i) q^{13} +(3.42987 - 1.49533i) q^{14} +(3.66890 - 0.837402i) q^{15} +(-2.74946 + 2.90525i) q^{16} +(-4.01552 + 5.88969i) q^{17} +(-0.899582 - 1.09122i) q^{18} +(0.661071 - 1.14501i) q^{19} +(-5.29575 - 5.34820i) q^{20} +(1.75866 - 1.97664i) q^{21} +(0.187244 - 0.643968i) q^{22} +(-5.01253 - 7.35203i) q^{23} +(-0.903923 + 2.68010i) q^{24} +(6.71625 - 6.23177i) q^{25} +(-2.85557 - 2.97908i) q^{26} +(-0.900969 - 0.433884i) q^{27} +(-5.21429 - 0.900626i) q^{28} +(5.68334 - 2.73695i) q^{29} +(-4.98506 - 1.86367i) q^{30} +(-4.26238 - 7.38265i) q^{31} +(5.50688 - 1.29393i) q^{32} +(-0.0706777 - 0.468916i) q^{33} +(9.32307 - 3.83486i) q^{34} +(2.01228 - 9.75115i) q^{35} +(0.214132 + 1.98850i) q^{36} +(-0.360697 + 4.81317i) q^{37} +(-1.67123 + 0.838516i) q^{38} +(-2.71627 - 1.06606i) q^{39} +(2.09699 + 10.4355i) q^{40} +(1.05946 + 0.844888i) q^{41} +(-3.61443 + 0.967431i) q^{42} +(-4.03862 + 3.22070i) q^{43} +(-0.721920 + 0.615096i) q^{44} +(-3.75273 + 0.281228i) q^{45} +(0.204303 + 12.5823i) q^{46} +(-2.39114 - 2.21866i) q^{47} +(3.15175 - 2.46302i) q^{48} +(-2.82735 - 6.40360i) q^{49} +(-12.7793 + 2.13891i) q^{50} +(4.84849 - 5.22543i) q^{51} +(1.05670 + 5.73949i) q^{52} +(-0.511055 - 6.81955i) q^{53} +(0.726898 + 1.21310i) q^{54} +(-1.11267 - 1.39524i) q^{55} +(5.45912 + 5.11840i) q^{56} +(-0.824342 + 1.03369i) q^{57} +(-8.84169 - 1.18620i) q^{58} +(1.00480 - 2.56020i) q^{59} +(4.43949 + 6.07775i) q^{60} +(2.70817 + 0.202949i) q^{61} +(-0.705633 + 12.0352i) q^{62} +(-2.03362 + 1.69245i) q^{63} +(-7.51118 - 2.75358i) q^{64} +(-10.8584 + 1.63664i) q^{65} +(-0.281131 + 0.608868i) q^{66} +(12.8976 - 7.44645i) q^{67} +(-13.9949 - 2.71947i) q^{68} +(3.86078 + 8.01699i) q^{69} +(-9.95932 + 9.95392i) q^{70} +(4.43710 - 9.21372i) q^{71} +(1.29327 - 2.51544i) q^{72} +(-0.883174 - 0.951835i) q^{73} +(4.16870 - 5.40513i) q^{74} +(-7.57003 + 5.16116i) q^{75} +(2.62617 + 0.309012i) q^{76} +(-1.20637 - 0.344687i) q^{77} +(2.37967 + 3.37140i) q^{78} +(-7.96671 - 4.59958i) q^{79} +(5.63732 - 13.9576i) q^{80} +(0.826239 + 0.563320i) q^{81} +(-0.594523 - 1.82184i) q^{82} +(3.04218 + 13.3287i) q^{83} +(5.02182 + 1.66772i) q^{84} +(5.96926 - 26.1530i) q^{85} +(7.27500 - 0.664121i) q^{86} +(-6.02778 + 1.85932i) q^{87} +(1.33106 - 0.165237i) q^{88} +(-2.58076 + 8.36662i) q^{89} +(4.65161 + 2.58584i) q^{90} +(-5.54840 + 5.36818i) q^{91} +(9.54239 - 15.0218i) q^{92} +(3.11444 + 7.93547i) q^{93} +(1.09937 + 4.48011i) q^{94} +(-0.741567 + 4.91998i) q^{95} +(-5.63822 + 0.458717i) q^{96} +7.91128i q^{97} +(-1.63947 + 9.76279i) q^{98} +0.474213i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9} - 23 q^{10} - 6 q^{11} - 30 q^{14} - 12 q^{16} + 6 q^{19} + 25 q^{20} + 4 q^{21} + 6 q^{22} + 15 q^{24} - 26 q^{25} - 12 q^{26} - 56 q^{27} + 36 q^{28} - 13 q^{30} - 2 q^{31} - 25 q^{32} + 6 q^{33} + 68 q^{34} + 12 q^{35} + 16 q^{37} + 82 q^{38} - 8 q^{39} - 19 q^{40} - 9 q^{42} - 11 q^{44} + 10 q^{46} - 4 q^{47} - 8 q^{48} - 4 q^{49} - 114 q^{50} - 8 q^{52} - 4 q^{53} - 41 q^{56} - 12 q^{57} - 33 q^{58} + 10 q^{59} + 17 q^{60} + 2 q^{61} + 16 q^{62} + 12 q^{63} + 84 q^{64} - 4 q^{65} + 15 q^{66} - 42 q^{67} + 10 q^{68} - 38 q^{70} - 28 q^{71} + 33 q^{72} + 18 q^{73} + 2 q^{74} - 54 q^{75} - 7 q^{76} - 8 q^{77} - 6 q^{78} + 6 q^{79} - 14 q^{80} + 28 q^{81} - 87 q^{82} - 10 q^{83} - 14 q^{84} + 24 q^{85} + 126 q^{86} - 244 q^{88} - 20 q^{90} + 34 q^{91} + 14 q^{92} - 2 q^{93} - 184 q^{94} + 24 q^{95} - 20 q^{96} - 122 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{42}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.18126 0.777579i −0.835275 0.549832i
\(3\) −0.988831 0.149042i −0.570902 0.0860496i
\(4\) 0.790741 + 1.83704i 0.395370 + 0.918522i
\(5\) −3.50311 + 1.37487i −1.56664 + 0.614860i −0.980704 0.195499i \(-0.937368\pi\)
−0.585934 + 0.810359i \(0.699272\pi\)
\(6\) 1.05217 + 0.944952i 0.429547 + 0.385775i
\(7\) −1.44441 + 2.21668i −0.545936 + 0.837827i
\(8\) 0.494379 2.78489i 0.174789 0.984606i
\(9\) 0.955573 + 0.294755i 0.318524 + 0.0982517i
\(10\) 5.20715 + 1.09987i 1.64664 + 0.347810i
\(11\) 0.139777 + 0.453145i 0.0421442 + 0.136628i 0.974200 0.225687i \(-0.0724626\pi\)
−0.932056 + 0.362315i \(0.881986\pi\)
\(12\) −0.508112 1.93438i −0.146679 0.558407i
\(13\) 2.84482 + 0.649311i 0.789011 + 0.180087i 0.597994 0.801500i \(-0.295965\pi\)
0.191016 + 0.981587i \(0.438822\pi\)
\(14\) 3.42987 1.49533i 0.916671 0.399643i
\(15\) 3.66890 0.837402i 0.947305 0.216216i
\(16\) −2.74946 + 2.90525i −0.687365 + 0.726313i
\(17\) −4.01552 + 5.88969i −0.973907 + 1.42846i −0.0715670 + 0.997436i \(0.522800\pi\)
−0.902340 + 0.431024i \(0.858152\pi\)
\(18\) −0.899582 1.09122i −0.212034 0.257202i
\(19\) 0.661071 1.14501i 0.151660 0.262683i −0.780178 0.625558i \(-0.784871\pi\)
0.931838 + 0.362875i \(0.118205\pi\)
\(20\) −5.29575 5.34820i −1.18416 1.19589i
\(21\) 1.75866 1.97664i 0.383771 0.431339i
\(22\) 0.187244 0.643968i 0.0399205 0.137294i
\(23\) −5.01253 7.35203i −1.04518 1.53300i −0.831048 0.556201i \(-0.812258\pi\)
−0.214137 0.976804i \(-0.568694\pi\)
\(24\) −0.903923 + 2.68010i −0.184512 + 0.547073i
\(25\) 6.71625 6.23177i 1.34325 1.24635i
\(26\) −2.85557 2.97908i −0.560024 0.584245i
\(27\) −0.900969 0.433884i −0.173392 0.0835010i
\(28\) −5.21429 0.900626i −0.985409 0.170202i
\(29\) 5.68334 2.73695i 1.05537 0.508239i 0.176005 0.984389i \(-0.443682\pi\)
0.879364 + 0.476150i \(0.157968\pi\)
\(30\) −4.98506 1.86367i −0.910143 0.340258i
\(31\) −4.26238 7.38265i −0.765546 1.32596i −0.939958 0.341291i \(-0.889136\pi\)
0.174412 0.984673i \(-0.444198\pi\)
\(32\) 5.50688 1.29393i 0.973488 0.228736i
\(33\) −0.0706777 0.468916i −0.0123034 0.0816278i
\(34\) 9.32307 3.83486i 1.59889 0.657672i
\(35\) 2.01228 9.75115i 0.340138 1.64825i
\(36\) 0.214132 + 1.98850i 0.0356887 + 0.331417i
\(37\) −0.360697 + 4.81317i −0.0592983 + 0.791281i 0.885711 + 0.464237i \(0.153671\pi\)
−0.945009 + 0.327043i \(0.893948\pi\)
\(38\) −1.67123 + 0.838516i −0.271109 + 0.136025i
\(39\) −2.71627 1.06606i −0.434951 0.170706i
\(40\) 2.09699 + 10.4355i 0.331563 + 1.64999i
\(41\) 1.05946 + 0.844888i 0.165459 + 0.131949i 0.702719 0.711467i \(-0.251969\pi\)
−0.537260 + 0.843417i \(0.680541\pi\)
\(42\) −3.61443 + 0.967431i −0.557718 + 0.149278i
\(43\) −4.03862 + 3.22070i −0.615884 + 0.491151i −0.881032 0.473056i \(-0.843151\pi\)
0.265148 + 0.964208i \(0.414579\pi\)
\(44\) −0.721920 + 0.615096i −0.108833 + 0.0927292i
\(45\) −3.75273 + 0.281228i −0.559423 + 0.0419230i
\(46\) 0.204303 + 12.5823i 0.0301228 + 1.85516i
\(47\) −2.39114 2.21866i −0.348784 0.323624i 0.486253 0.873818i \(-0.338363\pi\)
−0.835037 + 0.550194i \(0.814554\pi\)
\(48\) 3.15175 2.46302i 0.454917 0.355506i
\(49\) −2.82735 6.40360i −0.403908 0.914800i
\(50\) −12.7793 + 2.13891i −1.80727 + 0.302487i
\(51\) 4.84849 5.22543i 0.678924 0.731706i
\(52\) 1.05670 + 5.73949i 0.146538 + 0.795924i
\(53\) −0.511055 6.81955i −0.0701988 0.936738i −0.915466 0.402394i \(-0.868178\pi\)
0.845268 0.534343i \(-0.179441\pi\)
\(54\) 0.726898 + 1.21310i 0.0989182 + 0.165082i
\(55\) −1.11267 1.39524i −0.150032 0.188134i
\(56\) 5.45912 + 5.11840i 0.729505 + 0.683975i
\(57\) −0.824342 + 1.03369i −0.109187 + 0.136916i
\(58\) −8.84169 1.18620i −1.16097 0.155756i
\(59\) 1.00480 2.56020i 0.130814 0.333309i −0.850427 0.526093i \(-0.823656\pi\)
0.981241 + 0.192784i \(0.0617516\pi\)
\(60\) 4.43949 + 6.07775i 0.573135 + 0.784635i
\(61\) 2.70817 + 0.202949i 0.346745 + 0.0259850i 0.246965 0.969025i \(-0.420567\pi\)
0.0997805 + 0.995009i \(0.468186\pi\)
\(62\) −0.705633 + 12.0352i −0.0896154 + 1.52847i
\(63\) −2.03362 + 1.69245i −0.256212 + 0.213229i
\(64\) −7.51118 2.75358i −0.938897 0.344197i
\(65\) −10.8584 + 1.63664i −1.34682 + 0.203001i
\(66\) −0.281131 + 0.608868i −0.0346048 + 0.0749465i
\(67\) 12.8976 7.44645i 1.57570 0.909728i 0.580246 0.814442i \(-0.302957\pi\)
0.995450 0.0952866i \(-0.0303767\pi\)
\(68\) −13.9949 2.71947i −1.69713 0.329785i
\(69\) 3.86078 + 8.01699i 0.464783 + 0.965133i
\(70\) −9.95932 + 9.95392i −1.19037 + 1.18972i
\(71\) 4.43710 9.21372i 0.526586 1.09347i −0.452826 0.891599i \(-0.649584\pi\)
0.979413 0.201869i \(-0.0647015\pi\)
\(72\) 1.29327 2.51544i 0.152414 0.296448i
\(73\) −0.883174 0.951835i −0.103368 0.111404i 0.679249 0.733908i \(-0.262306\pi\)
−0.782616 + 0.622504i \(0.786115\pi\)
\(74\) 4.16870 5.40513i 0.484601 0.628333i
\(75\) −7.57003 + 5.16116i −0.874112 + 0.595960i
\(76\) 2.62617 + 0.309012i 0.301242 + 0.0354461i
\(77\) −1.20637 0.344687i −0.137479 0.0392807i
\(78\) 2.37967 + 3.37140i 0.269445 + 0.381736i
\(79\) −7.96671 4.59958i −0.896325 0.517494i −0.0203191 0.999794i \(-0.506468\pi\)
−0.876006 + 0.482300i \(0.839802\pi\)
\(80\) 5.63732 13.9576i 0.630271 1.56050i
\(81\) 0.826239 + 0.563320i 0.0918043 + 0.0625911i
\(82\) −0.594523 1.82184i −0.0656541 0.201189i
\(83\) 3.04218 + 13.3287i 0.333923 + 1.46301i 0.811464 + 0.584402i \(0.198671\pi\)
−0.477542 + 0.878609i \(0.658472\pi\)
\(84\) 5.02182 + 1.66772i 0.547926 + 0.181963i
\(85\) 5.96926 26.1530i 0.647457 2.83670i
\(86\) 7.27500 0.664121i 0.784484 0.0716140i
\(87\) −6.02778 + 1.85932i −0.646246 + 0.199341i
\(88\) 1.33106 0.165237i 0.141891 0.0176143i
\(89\) −2.58076 + 8.36662i −0.273560 + 0.886860i 0.709677 + 0.704527i \(0.248841\pi\)
−0.983237 + 0.182333i \(0.941635\pi\)
\(90\) 4.65161 + 2.58584i 0.490323 + 0.272571i
\(91\) −5.54840 + 5.36818i −0.581631 + 0.562739i
\(92\) 9.54239 15.0218i 0.994863 1.56613i
\(93\) 3.11444 + 7.93547i 0.322953 + 0.822870i
\(94\) 1.09937 + 4.48011i 0.113392 + 0.462088i
\(95\) −0.741567 + 4.91998i −0.0760832 + 0.504779i
\(96\) −5.63822 + 0.458717i −0.575449 + 0.0468176i
\(97\) 7.91128i 0.803269i 0.915800 + 0.401635i \(0.131558\pi\)
−0.915800 + 0.401635i \(0.868442\pi\)
\(98\) −1.63947 + 9.76279i −0.165612 + 0.986191i
\(99\) 0.474213i 0.0476602i
\(100\) 16.7588 + 7.41033i 1.67588 + 0.741033i
\(101\) 1.78495 11.8424i 0.177609 1.17836i −0.705332 0.708877i \(-0.749202\pi\)
0.882941 0.469484i \(-0.155560\pi\)
\(102\) −9.79050 + 2.40249i −0.969404 + 0.237882i
\(103\) −1.83691 4.68038i −0.180996 0.461171i 0.811365 0.584541i \(-0.198725\pi\)
−0.992361 + 0.123369i \(0.960630\pi\)
\(104\) 3.21468 7.60149i 0.315225 0.745387i
\(105\) −3.44314 + 9.34233i −0.336016 + 0.911718i
\(106\) −4.69906 + 8.45304i −0.456413 + 0.821031i
\(107\) −5.60251 + 18.1629i −0.541615 + 1.75587i 0.106481 + 0.994315i \(0.466042\pi\)
−0.648096 + 0.761558i \(0.724435\pi\)
\(108\) 0.0846307 1.99821i 0.00814359 0.192278i
\(109\) −8.29135 + 2.55754i −0.794167 + 0.244968i −0.665185 0.746679i \(-0.731647\pi\)
−0.128982 + 0.991647i \(0.541171\pi\)
\(110\) 0.229437 + 2.51333i 0.0218759 + 0.239636i
\(111\) 1.07403 4.70565i 0.101943 0.446641i
\(112\) −2.46867 10.2910i −0.233267 0.972413i
\(113\) −2.29881 10.0717i −0.216254 0.947469i −0.960218 0.279250i \(-0.909914\pi\)
0.743965 0.668219i \(-0.232943\pi\)
\(114\) 1.77754 0.580066i 0.166482 0.0543282i
\(115\) 27.6675 + 18.8634i 2.58001 + 1.75902i
\(116\) 9.52195 + 8.27632i 0.884091 + 0.768437i
\(117\) 2.52704 + 1.45899i 0.233625 + 0.134884i
\(118\) −3.17769 + 2.24294i −0.292530 + 0.206479i
\(119\) −7.25550 17.4083i −0.665111 1.59581i
\(120\) −0.518244 10.6315i −0.0473090 0.970514i
\(121\) 8.90282 6.06984i 0.809348 0.551804i
\(122\) −3.04123 2.34555i −0.275340 0.212356i
\(123\) −0.921698 0.993355i −0.0831067 0.0895678i
\(124\) 10.1918 13.6679i 0.915253 1.22742i
\(125\) −6.79583 + 14.1117i −0.607838 + 1.26219i
\(126\) 3.71824 0.417924i 0.331248 0.0372316i
\(127\) −0.709703 1.47371i −0.0629760 0.130771i 0.867105 0.498125i \(-0.165978\pi\)
−0.930081 + 0.367354i \(0.880264\pi\)
\(128\) 6.73152 + 9.09322i 0.594988 + 0.803735i
\(129\) 4.47354 2.58280i 0.393873 0.227403i
\(130\) 14.0992 + 6.50999i 1.23658 + 0.570964i
\(131\) 9.43716 1.42242i 0.824528 0.124278i 0.276793 0.960930i \(-0.410728\pi\)
0.547735 + 0.836652i \(0.315490\pi\)
\(132\) 0.805532 0.500629i 0.0701125 0.0435742i
\(133\) 1.58326 + 3.11925i 0.137286 + 0.270473i
\(134\) −21.0256 1.23275i −1.81634 0.106494i
\(135\) 3.75273 + 0.281228i 0.322983 + 0.0242042i
\(136\) 14.4169 + 14.0945i 1.23624 + 1.20859i
\(137\) 2.88095 7.34054i 0.246136 0.627145i −0.753401 0.657561i \(-0.771588\pi\)
0.999537 + 0.0304163i \(0.00968330\pi\)
\(138\) 1.67327 12.4722i 0.142438 1.06170i
\(139\) 7.00200 8.78023i 0.593902 0.744730i −0.390512 0.920598i \(-0.627702\pi\)
0.984414 + 0.175868i \(0.0562733\pi\)
\(140\) 19.5045 4.01398i 1.64843 0.339243i
\(141\) 2.03376 + 2.55026i 0.171274 + 0.214770i
\(142\) −12.4058 + 7.43359i −1.04107 + 0.623813i
\(143\) 0.103407 + 1.37987i 0.00864734 + 0.115391i
\(144\) −3.48365 + 1.96576i −0.290304 + 0.163813i
\(145\) −16.1464 + 17.4017i −1.34089 + 1.44513i
\(146\) 0.303129 + 1.81110i 0.0250871 + 0.149888i
\(147\) 1.84137 + 6.75347i 0.151873 + 0.557017i
\(148\) −9.12722 + 3.14335i −0.750253 + 0.258382i
\(149\) 11.0099 + 10.2157i 0.901963 + 0.836900i 0.987204 0.159461i \(-0.0509756\pi\)
−0.0852411 + 0.996360i \(0.527166\pi\)
\(150\) 12.9554 0.210361i 1.05780 0.0171759i
\(151\) 5.34170 0.400305i 0.434701 0.0325764i 0.144417 0.989517i \(-0.453869\pi\)
0.290284 + 0.956941i \(0.406250\pi\)
\(152\) −2.86190 2.40708i −0.232131 0.195240i
\(153\) −5.57314 + 4.44443i −0.450562 + 0.359311i
\(154\) 1.15702 + 1.34521i 0.0932350 + 0.108400i
\(155\) 25.0818 + 20.0020i 2.01462 + 1.60660i
\(156\) −0.189471 5.83288i −0.0151698 0.467004i
\(157\) −9.97053 3.91315i −0.795735 0.312303i −0.0675787 0.997714i \(-0.521527\pi\)
−0.728156 + 0.685411i \(0.759623\pi\)
\(158\) 5.83420 + 11.6280i 0.464144 + 0.925078i
\(159\) −0.511055 + 6.81955i −0.0405293 + 0.540826i
\(160\) −17.5122 + 12.1040i −1.38446 + 0.956906i
\(161\) 23.5373 0.491826i 1.85500 0.0387613i
\(162\) −0.537975 1.30789i −0.0422673 0.102758i
\(163\) −1.27173 8.43735i −0.0996093 0.660865i −0.981792 0.189958i \(-0.939165\pi\)
0.882183 0.470907i \(-0.156073\pi\)
\(164\) −0.714341 + 2.61435i −0.0557807 + 0.204147i
\(165\) 0.892290 + 1.54549i 0.0694647 + 0.120316i
\(166\) 6.77049 18.1101i 0.525492 1.40562i
\(167\) −7.45290 + 3.58913i −0.576723 + 0.277735i −0.699422 0.714709i \(-0.746559\pi\)
0.122699 + 0.992444i \(0.460845\pi\)
\(168\) −4.63529 5.87487i −0.357620 0.453256i
\(169\) −4.04121 1.94614i −0.310862 0.149703i
\(170\) −27.3873 + 26.2519i −2.10051 + 2.01343i
\(171\) 0.969199 0.899285i 0.0741165 0.0687701i
\(172\) −9.11006 4.87239i −0.694636 0.371517i
\(173\) −3.01826 4.42698i −0.229474 0.336577i 0.694182 0.719800i \(-0.255766\pi\)
−0.923656 + 0.383223i \(0.874814\pi\)
\(174\) 8.56614 + 2.49074i 0.649397 + 0.188822i
\(175\) 4.11282 + 23.8890i 0.310900 + 1.80584i
\(176\) −1.70081 0.839817i −0.128203 0.0633036i
\(177\) −1.37516 + 2.38184i −0.103363 + 0.179030i
\(178\) 9.55425 7.87639i 0.716122 0.590360i
\(179\) −5.48611 + 8.04665i −0.410051 + 0.601435i −0.974597 0.223967i \(-0.928099\pi\)
0.564545 + 0.825402i \(0.309052\pi\)
\(180\) −3.48406 6.67154i −0.259687 0.497267i
\(181\) −2.09573 + 0.478338i −0.155775 + 0.0355546i −0.299697 0.954034i \(-0.596886\pi\)
0.143922 + 0.989589i \(0.454028\pi\)
\(182\) 10.7283 2.02689i 0.795233 0.150243i
\(183\) −2.64767 0.604313i −0.195721 0.0446721i
\(184\) −22.9527 + 10.3246i −1.69209 + 0.761142i
\(185\) −5.35392 17.3570i −0.393628 1.27611i
\(186\) 2.49150 11.7956i 0.182686 0.864893i
\(187\) −3.23016 0.996372i −0.236213 0.0728619i
\(188\) 2.18499 6.14701i 0.159357 0.448317i
\(189\) 2.26315 1.37045i 0.164620 0.0996859i
\(190\) 4.70166 5.23514i 0.341094 0.379797i
\(191\) 3.77676 1.48227i 0.273277 0.107253i −0.224746 0.974417i \(-0.572155\pi\)
0.498022 + 0.867164i \(0.334060\pi\)
\(192\) 7.01689 + 3.84230i 0.506400 + 0.277294i
\(193\) −1.66258 0.250594i −0.119675 0.0180382i 0.0889315 0.996038i \(-0.471655\pi\)
−0.208607 + 0.978000i \(0.566893\pi\)
\(194\) 6.15165 9.34527i 0.441663 0.670951i
\(195\) 10.9811 0.786371
\(196\) 9.52799 10.2576i 0.680571 0.732683i
\(197\) 0.221321 0.0157685 0.00788425 0.999969i \(-0.497490\pi\)
0.00788425 + 0.999969i \(0.497490\pi\)
\(198\) 0.368738 0.560167i 0.0262051 0.0398094i
\(199\) −2.39931 0.361638i −0.170083 0.0256358i 0.0634488 0.997985i \(-0.479790\pi\)
−0.233531 + 0.972349i \(0.575028\pi\)
\(200\) −14.0344 21.7848i −0.992382 1.54042i
\(201\) −13.8634 + 5.44098i −0.977849 + 0.383777i
\(202\) −11.3169 + 12.6010i −0.796253 + 0.886601i
\(203\) −2.14213 + 16.5514i −0.150348 + 1.16168i
\(204\) 13.4332 + 4.77492i 0.940514 + 0.334312i
\(205\) −4.87300 1.50312i −0.340345 0.104983i
\(206\) −1.46950 + 6.95708i −0.102385 + 0.484722i
\(207\) −2.62279 8.50287i −0.182296 0.590990i
\(208\) −9.70812 + 6.47965i −0.673137 + 0.449283i
\(209\) 0.611257 + 0.139515i 0.0422815 + 0.00965048i
\(210\) 11.3316 8.35838i 0.781957 0.576783i
\(211\) −13.6787 + 3.12206i −0.941677 + 0.214932i −0.665689 0.746229i \(-0.731862\pi\)
−0.275988 + 0.961161i \(0.589005\pi\)
\(212\) 12.1237 6.33133i 0.832659 0.434837i
\(213\) −5.76077 + 8.44950i −0.394722 + 0.578950i
\(214\) 20.7411 17.0987i 1.41783 1.16884i
\(215\) 9.71971 16.8350i 0.662879 1.14814i
\(216\) −1.65374 + 2.29459i −0.112523 + 0.156127i
\(217\) 22.5216 + 1.21526i 1.52887 + 0.0824969i
\(218\) 11.7829 + 3.42606i 0.798039 + 0.232042i
\(219\) 0.731446 + 1.07283i 0.0494265 + 0.0724954i
\(220\) 1.68329 3.14729i 0.113487 0.212190i
\(221\) −15.2477 + 14.1478i −1.02567 + 0.951683i
\(222\) −4.92773 + 4.72344i −0.330728 + 0.317017i
\(223\) −14.9992 7.22322i −1.00442 0.483703i −0.141983 0.989869i \(-0.545348\pi\)
−0.862436 + 0.506166i \(0.831062\pi\)
\(224\) −5.08598 + 14.0760i −0.339821 + 0.940490i
\(225\) 8.25471 3.97526i 0.550314 0.265017i
\(226\) −5.11609 + 13.6848i −0.340317 + 0.910300i
\(227\) −12.3603 21.4087i −0.820382 1.42094i −0.905398 0.424563i \(-0.860428\pi\)
0.0850164 0.996380i \(-0.472906\pi\)
\(228\) −2.55078 0.696970i −0.168929 0.0461580i
\(229\) −2.41233 16.0048i −0.159411 1.05762i −0.915256 0.402873i \(-0.868012\pi\)
0.755845 0.654751i \(-0.227227\pi\)
\(230\) −18.0147 43.7962i −1.18785 2.88784i
\(231\) 1.14153 + 0.520638i 0.0751068 + 0.0342554i
\(232\) −4.81238 17.1805i −0.315948 1.12796i
\(233\) 0.870998 11.6227i 0.0570610 0.761426i −0.893138 0.449783i \(-0.851501\pi\)
0.950199 0.311644i \(-0.100879\pi\)
\(234\) −1.85061 3.68842i −0.120978 0.241120i
\(235\) 11.4268 + 4.48469i 0.745402 + 0.292549i
\(236\) 5.49773 0.178584i 0.357872 0.0116249i
\(237\) 7.19220 + 5.73559i 0.467184 + 0.372566i
\(238\) −4.96569 + 26.2054i −0.321878 + 1.69864i
\(239\) 2.89334 2.30736i 0.187155 0.149251i −0.525430 0.850837i \(-0.676096\pi\)
0.712585 + 0.701586i \(0.247524\pi\)
\(240\) −7.65462 + 12.9615i −0.494103 + 0.836659i
\(241\) −3.96047 + 0.296796i −0.255116 + 0.0191183i −0.201674 0.979453i \(-0.564638\pi\)
−0.0534418 + 0.998571i \(0.517019\pi\)
\(242\) −15.2363 + 0.247397i −0.979427 + 0.0159033i
\(243\) −0.733052 0.680173i −0.0470253 0.0436331i
\(244\) 1.76863 + 5.13550i 0.113225 + 0.328767i
\(245\) 18.7086 + 18.5453i 1.19525 + 1.18481i
\(246\) 0.316351 + 1.89010i 0.0201698 + 0.120508i
\(247\) 2.62409 2.82810i 0.166967 0.179948i
\(248\) −22.6671 + 8.22041i −1.43936 + 0.521996i
\(249\) −1.02167 13.6332i −0.0647456 0.863969i
\(250\) 19.0006 11.3852i 1.20170 0.720066i
\(251\) −0.196904 0.246910i −0.0124285 0.0155848i 0.775578 0.631251i \(-0.217458\pi\)
−0.788007 + 0.615666i \(0.788887\pi\)
\(252\) −4.71717 2.39755i −0.297154 0.151032i
\(253\) 2.63090 3.29904i 0.165403 0.207409i
\(254\) −0.307587 + 2.29269i −0.0192997 + 0.143856i
\(255\) −9.80050 + 24.9713i −0.613731 + 1.56376i
\(256\) −0.880955 15.9757i −0.0550597 0.998483i
\(257\) −17.4662 1.30891i −1.08951 0.0816474i −0.482160 0.876083i \(-0.660148\pi\)
−0.607348 + 0.794436i \(0.707767\pi\)
\(258\) −7.29273 0.427580i −0.454025 0.0266199i
\(259\) −10.1483 7.75175i −0.630583 0.481670i
\(260\) −11.5928 18.6532i −0.718954 1.15683i
\(261\) 6.23757 0.940163i 0.386096 0.0581946i
\(262\) −12.2538 5.65789i −0.757040 0.349546i
\(263\) −10.5460 + 6.08875i −0.650296 + 0.375449i −0.788570 0.614945i \(-0.789178\pi\)
0.138273 + 0.990394i \(0.455845\pi\)
\(264\) −1.34082 0.0349927i −0.0825217 0.00215365i
\(265\) 11.1663 + 23.1870i 0.685939 + 1.42437i
\(266\) 0.555223 4.91575i 0.0340429 0.301404i
\(267\) 3.79892 7.88853i 0.232490 0.482770i
\(268\) 23.8781 + 17.8053i 1.45859 + 1.08763i
\(269\) 8.04627 + 8.67181i 0.490589 + 0.528730i 0.929017 0.370037i \(-0.120655\pi\)
−0.438428 + 0.898767i \(0.644464\pi\)
\(270\) −4.21426 3.25024i −0.256472 0.197804i
\(271\) −15.8096 + 10.7788i −0.960364 + 0.654765i −0.938603 0.344998i \(-0.887880\pi\)
−0.0217606 + 0.999763i \(0.506927\pi\)
\(272\) −6.07051 27.8596i −0.368079 1.68923i
\(273\) 6.28652 4.48128i 0.380477 0.271219i
\(274\) −9.11100 + 6.43091i −0.550416 + 0.388505i
\(275\) 3.76267 + 2.17238i 0.226897 + 0.130999i
\(276\) −11.6747 + 13.4318i −0.702734 + 0.808499i
\(277\) −15.8836 10.8292i −0.954350 0.650665i −0.0172965 0.999850i \(-0.505506\pi\)
−0.937054 + 0.349186i \(0.886458\pi\)
\(278\) −15.0985 + 4.92711i −0.905548 + 0.295508i
\(279\) −1.89694 8.31102i −0.113567 0.497568i
\(280\) −26.1610 10.4247i −1.56342 0.622997i
\(281\) −5.95740 + 26.1011i −0.355388 + 1.55706i 0.409142 + 0.912471i \(0.365828\pi\)
−0.764530 + 0.644588i \(0.777029\pi\)
\(282\) −0.419370 4.59392i −0.0249731 0.273564i
\(283\) −10.6888 + 3.29705i −0.635382 + 0.195989i −0.595680 0.803222i \(-0.703117\pi\)
−0.0397024 + 0.999212i \(0.512641\pi\)
\(284\) 20.4346 + 0.865472i 1.21257 + 0.0513563i
\(285\) 1.46657 4.75450i 0.0868721 0.281632i
\(286\) 0.950810 1.71039i 0.0562226 0.101138i
\(287\) −3.40314 + 1.12811i −0.200881 + 0.0665902i
\(288\) 5.64362 + 0.386740i 0.332553 + 0.0227889i
\(289\) −12.3532 31.4755i −0.726661 1.85150i
\(290\) 32.6043 8.00077i 1.91459 0.469821i
\(291\) 1.17912 7.82292i 0.0691210 0.458588i
\(292\) 1.05020 2.37508i 0.0614584 0.138991i
\(293\) 19.1982i 1.12157i 0.827962 + 0.560785i \(0.189501\pi\)
−0.827962 + 0.560785i \(0.810499\pi\)
\(294\) 3.07623 9.40940i 0.179409 0.548767i
\(295\) 10.3501i 0.602608i
\(296\) 13.2258 + 3.38403i 0.768735 + 0.196693i
\(297\) 0.0706777 0.468916i 0.00410114 0.0272093i
\(298\) −5.06200 20.6284i −0.293234 1.19497i
\(299\) −9.48598 24.1699i −0.548589 1.39778i
\(300\) −15.4672 9.82534i −0.893000 0.567266i
\(301\) −1.30582 13.6044i −0.0752663 0.784142i
\(302\) −6.62119 3.68073i −0.381007 0.211802i
\(303\) −3.53003 + 11.4441i −0.202795 + 0.657445i
\(304\) 1.50895 + 5.06873i 0.0865442 + 0.290712i
\(305\) −9.76603 + 3.01242i −0.559201 + 0.172491i
\(306\) 10.0392 0.916461i 0.573904 0.0523906i
\(307\) 0.663352 2.90633i 0.0378595 0.165873i −0.952464 0.304651i \(-0.901460\pi\)
0.990324 + 0.138778i \(0.0443173\pi\)
\(308\) −0.320723 2.48872i −0.0182749 0.141808i
\(309\) 1.11882 + 4.90188i 0.0636475 + 0.278858i
\(310\) −14.0749 43.1306i −0.799398 2.44965i
\(311\) −1.63004 1.11134i −0.0924308 0.0630183i 0.516223 0.856454i \(-0.327338\pi\)
−0.608654 + 0.793436i \(0.708290\pi\)
\(312\) −4.31171 + 7.03746i −0.244103 + 0.398418i
\(313\) −23.8187 13.7517i −1.34631 0.777294i −0.358587 0.933496i \(-0.616741\pi\)
−0.987725 + 0.156202i \(0.950075\pi\)
\(314\) 8.73499 + 12.3753i 0.492944 + 0.698379i
\(315\) 4.79709 8.72481i 0.270285 0.491587i
\(316\) 2.15003 18.2723i 0.120949 1.02790i
\(317\) 1.59768 1.08928i 0.0897345 0.0611799i −0.517622 0.855610i \(-0.673183\pi\)
0.607356 + 0.794430i \(0.292230\pi\)
\(318\) 5.90643 7.65826i 0.331216 0.429454i
\(319\) 2.03463 + 2.19281i 0.113918 + 0.122774i
\(320\) 30.0983 0.680811i 1.68255 0.0380585i
\(321\) 8.24697 17.1250i 0.460301 0.955825i
\(322\) −28.1860 17.7211i −1.57075 0.987559i
\(323\) 4.08920 + 8.49132i 0.227529 + 0.472469i
\(324\) −0.381503 + 1.96328i −0.0211946 + 0.109071i
\(325\) 23.1529 13.3673i 1.28429 0.741485i
\(326\) −5.05848 + 10.9556i −0.280163 + 0.606772i
\(327\) 8.57992 1.29321i 0.474471 0.0715149i
\(328\) 2.87669 2.53277i 0.158839 0.139849i
\(329\) 8.37185 2.09575i 0.461555 0.115542i
\(330\) 0.147718 2.51945i 0.00813160 0.138691i
\(331\) 18.0945 + 1.35599i 0.994563 + 0.0745322i 0.562057 0.827099i \(-0.310010\pi\)
0.432506 + 0.901631i \(0.357629\pi\)
\(332\) −22.0798 + 16.1281i −1.21178 + 0.885146i
\(333\) −1.76338 + 4.49302i −0.0966326 + 0.246216i
\(334\) 11.5946 + 1.55554i 0.634430 + 0.0851152i
\(335\) −34.9439 + 43.8183i −1.90919 + 2.39405i
\(336\) 0.907291 + 10.5440i 0.0494968 + 0.575225i
\(337\) −3.50992 4.40130i −0.191198 0.239754i 0.676988 0.735994i \(-0.263285\pi\)
−0.868185 + 0.496240i \(0.834714\pi\)
\(338\) 3.26043 + 5.44126i 0.177344 + 0.295965i
\(339\) 0.772017 + 10.3019i 0.0419302 + 0.559520i
\(340\) 52.7644 9.71448i 2.86155 0.526842i
\(341\) 2.74963 2.96340i 0.148901 0.160477i
\(342\) −1.84414 + 0.308659i −0.0997197 + 0.0166904i
\(343\) 18.2786 + 2.98209i 0.986952 + 0.161018i
\(344\) 6.97266 + 12.8393i 0.375941 + 0.692251i
\(345\) −24.5471 22.7763i −1.32157 1.22624i
\(346\) 0.123020 + 7.57634i 0.00661358 + 0.407307i
\(347\) −22.6996 + 1.70110i −1.21858 + 0.0913199i −0.668449 0.743758i \(-0.733041\pi\)
−0.550131 + 0.835078i \(0.685422\pi\)
\(348\) −8.18207 9.60305i −0.438605 0.514778i
\(349\) −2.92319 + 2.33117i −0.156475 + 0.124785i −0.698598 0.715515i \(-0.746192\pi\)
0.542123 + 0.840299i \(0.317621\pi\)
\(350\) 13.7173 31.4171i 0.733221 1.67932i
\(351\) −2.28137 1.81933i −0.121770 0.0971086i
\(352\) 1.35607 + 2.31455i 0.0722788 + 0.123366i
\(353\) 23.4814 + 9.21577i 1.24979 + 0.490506i 0.895680 0.444698i \(-0.146689\pi\)
0.354108 + 0.935204i \(0.384784\pi\)
\(354\) 3.47649 1.74428i 0.184773 0.0927073i
\(355\) −2.87597 + 38.3771i −0.152640 + 2.03685i
\(356\) −17.4106 + 1.87486i −0.922758 + 0.0993672i
\(357\) 4.57990 + 18.2952i 0.242394 + 0.968285i
\(358\) 12.7374 5.23928i 0.673194 0.276905i
\(359\) 3.60933 + 23.9463i 0.190493 + 1.26384i 0.855815 + 0.517282i \(0.173056\pi\)
−0.665322 + 0.746557i \(0.731706\pi\)
\(360\) −1.07208 + 10.5899i −0.0565036 + 0.558139i
\(361\) 8.62597 + 14.9406i 0.453998 + 0.786348i
\(362\) 2.84755 + 1.06456i 0.149664 + 0.0559520i
\(363\) −9.70805 + 4.67515i −0.509540 + 0.245382i
\(364\) −14.2489 5.94782i −0.746847 0.311750i
\(365\) 4.40250 + 2.12013i 0.230438 + 0.110973i
\(366\) 2.65768 + 2.77262i 0.138919 + 0.144927i
\(367\) 2.17379 2.01698i 0.113471 0.105286i −0.621397 0.783496i \(-0.713435\pi\)
0.734868 + 0.678210i \(0.237244\pi\)
\(368\) 35.1412 + 5.65145i 1.83186 + 0.294602i
\(369\) 0.763352 + 1.11963i 0.0397385 + 0.0582857i
\(370\) −7.17207 + 24.6662i −0.372858 + 1.28233i
\(371\) 15.8549 + 8.71739i 0.823148 + 0.452584i
\(372\) −12.1151 + 11.9963i −0.628138 + 0.621977i
\(373\) 14.2373 24.6597i 0.737178 1.27683i −0.216583 0.976264i \(-0.569491\pi\)
0.953761 0.300566i \(-0.0971755\pi\)
\(374\) 3.04089 + 3.68868i 0.157241 + 0.190737i
\(375\) 8.82316 12.9412i 0.455626 0.668281i
\(376\) −7.36083 + 5.56220i −0.379606 + 0.286849i
\(377\) 17.9452 4.09587i 0.924225 0.210948i
\(378\) −3.73900 0.140920i −0.192314 0.00724813i
\(379\) −11.1834 2.55255i −0.574454 0.131115i −0.0745826 0.997215i \(-0.523762\pi\)
−0.499872 + 0.866099i \(0.666620\pi\)
\(380\) −9.62460 + 2.52813i −0.493732 + 0.129691i
\(381\) 0.482131 + 1.56303i 0.0247003 + 0.0800764i
\(382\) −5.61390 1.18579i −0.287232 0.0606702i
\(383\) −5.67565 1.75071i −0.290012 0.0894569i 0.146336 0.989235i \(-0.453252\pi\)
−0.436348 + 0.899778i \(0.643728\pi\)
\(384\) −5.30106 9.99494i −0.270518 0.510052i
\(385\) 4.69995 0.451128i 0.239532 0.0229916i
\(386\) 1.76908 + 1.58881i 0.0900439 + 0.0808681i
\(387\) −4.80852 + 1.88720i −0.244431 + 0.0959319i
\(388\) −14.5334 + 6.25577i −0.737820 + 0.317589i
\(389\) −16.6850 2.51486i −0.845965 0.127509i −0.288264 0.957551i \(-0.593078\pi\)
−0.557700 + 0.830042i \(0.688316\pi\)
\(390\) −12.9715 8.53866i −0.656837 0.432372i
\(391\) 63.4291 3.20775
\(392\) −19.2311 + 4.70805i −0.971316 + 0.237793i
\(393\) −9.54375 −0.481419
\(394\) −0.261438 0.172095i −0.0131710 0.00867002i
\(395\) 34.2321 + 5.15966i 1.72240 + 0.259611i
\(396\) −0.871149 + 0.374979i −0.0437769 + 0.0188434i
\(397\) −9.81704 + 3.85290i −0.492703 + 0.193372i −0.598667 0.800998i \(-0.704303\pi\)
0.105964 + 0.994370i \(0.466207\pi\)
\(398\) 2.55300 + 2.29284i 0.127970 + 0.114930i
\(399\) −1.10068 3.32038i −0.0551028 0.166227i
\(400\) −0.361203 + 36.6464i −0.0180601 + 1.83232i
\(401\) −31.1196 9.59912i −1.55404 0.479357i −0.605454 0.795881i \(-0.707008\pi\)
−0.948585 + 0.316523i \(0.897484\pi\)
\(402\) 20.6071 + 4.35269i 1.02779 + 0.217092i
\(403\) −7.33205 23.7699i −0.365235 1.18406i
\(404\) 23.1664 6.08522i 1.15257 0.302751i
\(405\) −3.66890 0.837402i −0.182309 0.0416108i
\(406\) 15.4005 17.8858i 0.764312 0.887659i
\(407\) −2.23148 + 0.509321i −0.110610 + 0.0252461i
\(408\) −12.1552 16.0858i −0.601773 0.796367i
\(409\) 14.8750 21.8177i 0.735524 1.07882i −0.258105 0.966117i \(-0.583098\pi\)
0.993629 0.112698i \(-0.0359494\pi\)
\(410\) 4.58747 + 5.56472i 0.226559 + 0.274822i
\(411\) −3.94282 + 6.82917i −0.194485 + 0.336858i
\(412\) 7.14553 7.07545i 0.352035 0.348582i
\(413\) 4.22379 + 5.92531i 0.207839 + 0.291565i
\(414\) −3.51347 + 12.0835i −0.172678 + 0.593872i
\(415\) −28.9823 42.5092i −1.42268 2.08669i
\(416\) 16.5062 0.105308i 0.809285 0.00516315i
\(417\) −8.23242 + 7.63857i −0.403143 + 0.374062i
\(418\) −0.613568 0.640105i −0.0300106 0.0313085i
\(419\) −30.4114 14.6453i −1.48569 0.715472i −0.497327 0.867563i \(-0.665685\pi\)
−0.988366 + 0.152091i \(0.951399\pi\)
\(420\) −19.8849 + 1.06215i −0.970283 + 0.0518278i
\(421\) 3.10467 1.49513i 0.151313 0.0728683i −0.356695 0.934221i \(-0.616096\pi\)
0.508008 + 0.861353i \(0.330382\pi\)
\(422\) 18.5857 + 6.94828i 0.904736 + 0.338237i
\(423\) −1.63095 2.82489i −0.0792995 0.137351i
\(424\) −19.2443 1.94821i −0.934587 0.0946135i
\(425\) 9.73394 + 64.5805i 0.472165 + 3.13261i
\(426\) 13.3751 5.50158i 0.648026 0.266553i
\(427\) −4.36158 + 5.71000i −0.211072 + 0.276326i
\(428\) −37.7962 + 4.07008i −1.82695 + 0.196735i
\(429\) 0.103407 1.37987i 0.00499255 0.0666209i
\(430\) −24.5721 + 12.3287i −1.18497 + 0.594541i
\(431\) 14.7611 + 5.79330i 0.711017 + 0.279053i 0.693157 0.720787i \(-0.256219\pi\)
0.0178600 + 0.999840i \(0.494315\pi\)
\(432\) 3.73772 1.42459i 0.179831 0.0685408i
\(433\) −6.07248 4.84264i −0.291825 0.232723i 0.466623 0.884456i \(-0.345471\pi\)
−0.758448 + 0.651734i \(0.774042\pi\)
\(434\) −25.6589 18.9479i −1.23167 0.909527i
\(435\) 18.5597 14.8008i 0.889867 0.709645i
\(436\) −11.2546 13.2092i −0.538999 0.632607i
\(437\) −11.7318 + 0.879176i −0.561207 + 0.0420567i
\(438\) −0.0298126 1.83605i −0.00142450 0.0877299i
\(439\) −13.2056 12.2530i −0.630267 0.584802i 0.298981 0.954259i \(-0.403353\pi\)
−0.929248 + 0.369457i \(0.879544\pi\)
\(440\) −4.43567 + 2.40887i −0.211462 + 0.114839i
\(441\) −0.814247 6.95248i −0.0387737 0.331071i
\(442\) 29.0125 4.85589i 1.37998 0.230971i
\(443\) 1.98605 2.14046i 0.0943602 0.101696i −0.684106 0.729382i \(-0.739807\pi\)
0.778466 + 0.627686i \(0.215998\pi\)
\(444\) 9.49377 1.74790i 0.450555 0.0829518i
\(445\) −2.46232 32.8574i −0.116725 1.55759i
\(446\) 12.1013 + 20.1955i 0.573011 + 0.956286i
\(447\) −9.36433 11.7425i −0.442917 0.555401i
\(448\) 16.9530 12.6726i 0.800956 0.598724i
\(449\) 21.7887 27.3221i 1.02827 1.28941i 0.0718513 0.997415i \(-0.477109\pi\)
0.956420 0.291996i \(-0.0943193\pi\)
\(450\) −12.8420 1.72289i −0.605379 0.0812177i
\(451\) −0.234769 + 0.598182i −0.0110549 + 0.0281673i
\(452\) 16.6844 12.1871i 0.784770 0.573235i
\(453\) −5.34170 0.400305i −0.250975 0.0188080i
\(454\) −2.04624 + 34.9003i −0.0960346 + 1.63795i
\(455\) 12.0561 26.4337i 0.565199 1.23923i
\(456\) 2.47118 + 2.80673i 0.115724 + 0.131437i
\(457\) −6.01794 + 0.907058i −0.281507 + 0.0424304i −0.288278 0.957547i \(-0.593083\pi\)
0.00677095 + 0.999977i \(0.497845\pi\)
\(458\) −9.59539 + 20.7815i −0.448363 + 0.971057i
\(459\) 6.17330 3.56416i 0.288145 0.166361i
\(460\) −12.7751 + 65.7425i −0.595640 + 3.06526i
\(461\) −3.02414 6.27970i −0.140848 0.292475i 0.818597 0.574368i \(-0.194752\pi\)
−0.959446 + 0.281893i \(0.909038\pi\)
\(462\) −0.943599 1.50263i −0.0439002 0.0699089i
\(463\) −9.42073 + 19.5623i −0.437818 + 0.909139i 0.558980 + 0.829181i \(0.311193\pi\)
−0.996798 + 0.0799578i \(0.974521\pi\)
\(464\) −7.67457 + 24.0367i −0.356283 + 1.11587i
\(465\) −21.8205 23.5169i −1.01190 1.09057i
\(466\) −10.0664 + 13.0521i −0.466318 + 0.604627i
\(467\) 19.3099 13.1653i 0.893558 0.609217i −0.0270807 0.999633i \(-0.508621\pi\)
0.920639 + 0.390416i \(0.127669\pi\)
\(468\) −0.681991 + 5.79597i −0.0315250 + 0.267919i
\(469\) −2.12307 + 39.3457i −0.0980344 + 1.81681i
\(470\) −10.0108 14.1828i −0.461763 0.654204i
\(471\) 9.27595 + 5.35547i 0.427413 + 0.246767i
\(472\) −6.63311 4.06397i −0.305313 0.187059i
\(473\) −2.02395 1.37990i −0.0930611 0.0634480i
\(474\) −4.03597 12.3677i −0.185378 0.568068i
\(475\) −2.69551 11.8098i −0.123679 0.541871i
\(476\) 26.2425 27.0941i 1.20282 1.24186i
\(477\) 1.52175 6.66722i 0.0696761 0.305271i
\(478\) −5.21194 + 0.475788i −0.238389 + 0.0217620i
\(479\) −15.1731 + 4.68028i −0.693276 + 0.213847i −0.621316 0.783560i \(-0.713402\pi\)
−0.0719601 + 0.997408i \(0.522925\pi\)
\(480\) 19.1206 9.35876i 0.872734 0.427167i
\(481\) −4.15136 + 13.4584i −0.189286 + 0.613650i
\(482\) 4.90911 + 2.72898i 0.223604 + 0.124302i
\(483\) −23.3477 3.02172i −1.06236 0.137493i
\(484\) 18.1904 + 11.5552i 0.826836 + 0.525237i
\(485\) −10.8770 27.7141i −0.493898 1.25843i
\(486\) 0.337035 + 1.37347i 0.0152882 + 0.0623017i
\(487\) −4.18248 + 27.7490i −0.189526 + 1.25743i 0.668458 + 0.743750i \(0.266955\pi\)
−0.857984 + 0.513676i \(0.828283\pi\)
\(488\) 1.90405 7.44160i 0.0861922 0.336865i
\(489\) 8.53266i 0.385860i
\(490\) −7.67931 36.4542i −0.346916 1.64683i
\(491\) 30.5004i 1.37646i −0.725491 0.688232i \(-0.758387\pi\)
0.725491 0.688232i \(-0.241613\pi\)
\(492\) 1.09601 2.47869i 0.0494120 0.111748i
\(493\) −6.70178 + 44.4634i −0.301833 + 2.00253i
\(494\) −5.29881 + 1.30028i −0.238405 + 0.0585022i
\(495\) −0.651980 1.66122i −0.0293043 0.0746662i
\(496\) 33.1677 + 7.91503i 1.48927 + 0.355395i
\(497\) 14.0149 + 23.1440i 0.628654 + 1.03815i
\(498\) −9.39405 + 16.8988i −0.420957 + 0.757252i
\(499\) 1.07968 3.50024i 0.0483331 0.156692i −0.928189 0.372109i \(-0.878635\pi\)
0.976522 + 0.215417i \(0.0691110\pi\)
\(500\) −31.2975 1.32555i −1.39967 0.0592805i
\(501\) 7.90459 2.43824i 0.353151 0.108933i
\(502\) 0.0406025 + 0.444773i 0.00181218 + 0.0198512i
\(503\) 1.86844 8.18615i 0.0833094 0.365002i −0.916039 0.401089i \(-0.868632\pi\)
0.999349 + 0.0360862i \(0.0114891\pi\)
\(504\) 3.70791 + 6.50011i 0.165163 + 0.289538i
\(505\) 10.0288 + 43.9392i 0.446278 + 1.95527i
\(506\) −5.67304 + 1.85129i −0.252197 + 0.0822998i
\(507\) 3.70601 + 2.52672i 0.164590 + 0.112215i
\(508\) 2.14609 2.46908i 0.0952171 0.109548i
\(509\) −9.60795 5.54715i −0.425865 0.245873i 0.271719 0.962377i \(-0.412408\pi\)
−0.697583 + 0.716504i \(0.745741\pi\)
\(510\) 30.9941 21.8768i 1.37244 0.968723i
\(511\) 3.38558 0.582874i 0.149769 0.0257848i
\(512\) −11.3818 + 19.5565i −0.503008 + 0.864282i
\(513\) −1.09241 + 0.744789i −0.0482309 + 0.0328833i
\(514\) 19.6142 + 15.1275i 0.865147 + 0.667244i
\(515\) 12.8698 + 13.8704i 0.567111 + 0.611201i
\(516\) 8.28212 + 6.17576i 0.364600 + 0.271873i
\(517\) 0.671146 1.39365i 0.0295170 0.0612926i
\(518\) 5.96013 + 17.0479i 0.261873 + 0.749042i
\(519\) 2.32474 + 4.82738i 0.102045 + 0.211899i
\(520\) −0.810306 + 31.0486i −0.0355343 + 1.36157i
\(521\) 7.88271 4.55109i 0.345348 0.199387i −0.317286 0.948330i \(-0.602772\pi\)
0.662634 + 0.748943i \(0.269438\pi\)
\(522\) −8.09924 3.73963i −0.354494 0.163679i
\(523\) 40.1209 6.04726i 1.75437 0.264428i 0.808385 0.588654i \(-0.200342\pi\)
0.945980 + 0.324226i \(0.105104\pi\)
\(524\) 10.0754 + 16.2117i 0.440146 + 0.708211i
\(525\) −0.506409 24.2352i −0.0221015 1.05771i
\(526\) 17.1921 + 1.00799i 0.749610 + 0.0439503i
\(527\) 60.5972 + 4.54113i 2.63966 + 0.197815i
\(528\) 1.55664 + 1.08393i 0.0677442 + 0.0471719i
\(529\) −20.5241 + 52.2945i −0.892351 + 2.27367i
\(530\) 4.83949 36.0725i 0.210214 1.56689i
\(531\) 1.71479 2.15028i 0.0744157 0.0933144i
\(532\) −4.47825 + 5.37504i −0.194157 + 0.233037i
\(533\) 2.46536 + 3.09147i 0.106787 + 0.133906i
\(534\) −10.6215 + 6.36443i −0.459635 + 0.275416i
\(535\) −5.34539 71.3293i −0.231102 3.08384i
\(536\) −14.3612 39.5998i −0.620309 1.71045i
\(537\) 6.62413 7.13911i 0.285852 0.308075i
\(538\) −2.76169 16.5003i −0.119065 0.711377i
\(539\) 2.50656 2.17627i 0.107965 0.0937387i
\(540\) 2.45080 + 7.11630i 0.105466 + 0.306237i
\(541\) 24.1368 + 22.3956i 1.03772 + 0.962864i 0.999337 0.0363994i \(-0.0115888\pi\)
0.0383830 + 0.999263i \(0.487779\pi\)
\(542\) 27.0566 0.439327i 1.16218 0.0188707i
\(543\) 2.14362 0.160642i 0.0919915 0.00689381i
\(544\) −14.4922 + 37.6296i −0.621347 + 1.61336i
\(545\) 25.5292 20.3589i 1.09355 0.872078i
\(546\) −10.9106 + 0.405279i −0.466928 + 0.0173443i
\(547\) 5.76612 + 4.59832i 0.246541 + 0.196610i 0.738962 0.673747i \(-0.235316\pi\)
−0.492421 + 0.870357i \(0.663888\pi\)
\(548\) 15.7630 0.512033i 0.673361 0.0218730i
\(549\) 2.52803 + 0.992178i 0.107894 + 0.0423451i
\(550\) −2.75549 5.49191i −0.117494 0.234176i
\(551\) 0.623258 8.31679i 0.0265517 0.354307i
\(552\) 24.2351 6.78840i 1.03151 0.288934i
\(553\) 21.7030 11.0160i 0.922906 0.468447i
\(554\) 10.3420 + 25.1428i 0.439389 + 1.06822i
\(555\) 2.70720 + 17.9611i 0.114914 + 0.762405i
\(556\) 21.6664 + 5.92010i 0.918862 + 0.251068i
\(557\) −16.2988 28.2303i −0.690600 1.19615i −0.971641 0.236459i \(-0.924013\pi\)
0.281041 0.959696i \(-0.409320\pi\)
\(558\) −4.22171 + 11.2925i −0.178719 + 0.478049i
\(559\) −13.5804 + 6.53997i −0.574389 + 0.276611i
\(560\) 22.7968 + 32.6566i 0.963343 + 1.37999i
\(561\) 3.04558 + 1.46667i 0.128584 + 0.0619230i
\(562\) 27.3329 26.1997i 1.15297 1.10517i
\(563\) −24.8986 + 23.1026i −1.04935 + 0.973657i −0.999685 0.0251092i \(-0.992007\pi\)
−0.0496675 + 0.998766i \(0.515816\pi\)
\(564\) −3.07675 + 5.75270i −0.129555 + 0.242232i
\(565\) 21.9003 + 32.1218i 0.921352 + 1.35137i
\(566\) 15.1899 + 4.41671i 0.638480 + 0.185648i
\(567\) −2.44213 + 1.01784i −0.102560 + 0.0427454i
\(568\) −23.4656 16.9119i −0.984593 0.709606i
\(569\) 1.08510 1.87946i 0.0454899 0.0787909i −0.842384 0.538878i \(-0.818848\pi\)
0.887874 + 0.460087i \(0.152182\pi\)
\(570\) −5.42940 + 4.47592i −0.227412 + 0.187476i
\(571\) 2.10591 3.08880i 0.0881295 0.129262i −0.779642 0.626225i \(-0.784599\pi\)
0.867772 + 0.496963i \(0.165551\pi\)
\(572\) −2.45312 + 1.28109i −0.102570 + 0.0535649i
\(573\) −3.95549 + 0.902816i −0.165243 + 0.0377157i
\(574\) 4.89718 + 1.31362i 0.204404 + 0.0548294i
\(575\) −79.4816 18.1412i −3.31461 0.756538i
\(576\) −6.36585 4.84520i −0.265244 0.201883i
\(577\) −2.48421 8.05360i −0.103419 0.335276i 0.889044 0.457822i \(-0.151370\pi\)
−0.992463 + 0.122546i \(0.960894\pi\)
\(578\) −9.88237 + 46.7863i −0.411052 + 1.94606i
\(579\) 1.60666 + 0.495590i 0.0667707 + 0.0205960i
\(580\) −44.7353 15.9014i −1.85753 0.660271i
\(581\) −33.9396 12.5085i −1.40805 0.518941i
\(582\) −7.47578 + 8.32403i −0.309881 + 0.345042i
\(583\) 3.01881 1.18480i 0.125026 0.0490692i
\(584\) −3.08737 + 1.98897i −0.127756 + 0.0823042i
\(585\) −10.8584 1.63664i −0.448941 0.0676669i
\(586\) 14.9281 22.6780i 0.616674 0.936820i
\(587\) 40.3820 1.66674 0.833372 0.552713i \(-0.186407\pi\)
0.833372 + 0.552713i \(0.186407\pi\)
\(588\) −10.9504 + 8.72291i −0.451586 + 0.359727i
\(589\) −11.2709 −0.464411
\(590\) 8.04804 12.2262i 0.331333 0.503343i
\(591\) −0.218849 0.0329863i −0.00900226 0.00135687i
\(592\) −12.9917 14.2815i −0.533957 0.586967i
\(593\) 36.8151 14.4489i 1.51182 0.593344i 0.542695 0.839930i \(-0.317404\pi\)
0.969121 + 0.246586i \(0.0793089\pi\)
\(594\) −0.448108 + 0.498953i −0.0183861 + 0.0204723i
\(595\) 49.3509 + 51.0077i 2.02319 + 2.09111i
\(596\) −10.0607 + 28.3035i −0.412101 + 1.15936i
\(597\) 2.31861 + 0.715197i 0.0948945 + 0.0292711i
\(598\) −7.58862 + 35.9270i −0.310322 + 1.46916i
\(599\) −10.3186 33.4521i −0.421606 1.36681i −0.878691 0.477391i \(-0.841583\pi\)
0.457085 0.889423i \(-0.348894\pi\)
\(600\) 10.6308 + 23.6332i 0.434000 + 0.964823i
\(601\) 14.1847 + 3.23756i 0.578605 + 0.132063i 0.501801 0.864983i \(-0.332671\pi\)
0.0768046 + 0.997046i \(0.475528\pi\)
\(602\) −9.03595 + 17.0856i −0.368278 + 0.696358i
\(603\) 14.5195 3.31398i 0.591280 0.134956i
\(604\) 4.95928 + 9.49640i 0.201790 + 0.386403i
\(605\) −22.8423 + 33.5035i −0.928673 + 1.36211i
\(606\) 13.0686 10.7735i 0.530874 0.437645i
\(607\) −12.0802 + 20.9235i −0.490320 + 0.849259i −0.999938 0.0111419i \(-0.996453\pi\)
0.509618 + 0.860401i \(0.329787\pi\)
\(608\) 2.15888 7.16081i 0.0875543 0.290409i
\(609\) 4.58507 16.0473i 0.185796 0.650269i
\(610\) 13.8786 + 4.03542i 0.561928 + 0.163389i
\(611\) −5.36177 7.86427i −0.216914 0.318154i
\(612\) −12.5715 6.72371i −0.508174 0.271790i
\(613\) −7.69293 + 7.13800i −0.310715 + 0.288301i −0.820080 0.572250i \(-0.806071\pi\)
0.509365 + 0.860551i \(0.329880\pi\)
\(614\) −3.04350 + 2.91732i −0.122825 + 0.117734i
\(615\) 4.59454 + 2.21262i 0.185270 + 0.0892213i
\(616\) −1.55632 + 3.18920i −0.0627059 + 0.128497i
\(617\) 15.1227 7.28270i 0.608817 0.293191i −0.103960 0.994581i \(-0.533151\pi\)
0.712777 + 0.701391i \(0.247437\pi\)
\(618\) 2.48998 6.66035i 0.100162 0.267919i
\(619\) 4.31111 + 7.46707i 0.173278 + 0.300127i 0.939564 0.342373i \(-0.111231\pi\)
−0.766286 + 0.642500i \(0.777897\pi\)
\(620\) −16.9114 + 61.8927i −0.679180 + 2.48567i
\(621\) 1.32621 + 8.79881i 0.0532188 + 0.353084i
\(622\) 1.06134 + 2.58026i 0.0425558 + 0.103459i
\(623\) −14.8185 17.8056i −0.593689 0.713365i
\(624\) 10.5654 4.96036i 0.422956 0.198573i
\(625\) 0.981414 13.0961i 0.0392565 0.523842i
\(626\) 17.4430 + 34.7653i 0.697161 + 1.38950i
\(627\) −0.583636 0.229060i −0.0233082 0.00914779i
\(628\) −0.695486 21.4106i −0.0277529 0.854375i
\(629\) −26.8997 21.4518i −1.07256 0.855339i
\(630\) −12.4508 + 6.57613i −0.496053 + 0.261999i
\(631\) 9.33103 7.44124i 0.371462 0.296231i −0.419910 0.907566i \(-0.637938\pi\)
0.791372 + 0.611334i \(0.209367\pi\)
\(632\) −16.7479 + 19.9125i −0.666195 + 0.792075i
\(633\) 13.9912 1.04850i 0.556100 0.0416739i
\(634\) −2.73427 + 0.0443973i −0.108592 + 0.00176324i
\(635\) 4.51233 + 4.18683i 0.179066 + 0.166149i
\(636\) −12.9319 + 4.45367i −0.512784 + 0.176599i
\(637\) −3.88538 20.0529i −0.153944 0.794525i
\(638\) −0.698340 4.17237i −0.0276476 0.165186i
\(639\) 6.95576 7.49653i 0.275166 0.296558i
\(640\) −36.0832 22.5996i −1.42631 0.893327i
\(641\) 3.62764 + 48.4075i 0.143283 + 1.91198i 0.355360 + 0.934730i \(0.384358\pi\)
−0.212076 + 0.977253i \(0.568023\pi\)
\(642\) −23.0579 + 13.8164i −0.910021 + 0.545289i
\(643\) −14.8332 18.6002i −0.584964 0.733521i 0.397987 0.917391i \(-0.369709\pi\)
−0.982951 + 0.183870i \(0.941137\pi\)
\(644\) 19.5154 + 42.8501i 0.769014 + 1.68853i
\(645\) −12.1203 + 15.1983i −0.477235 + 0.598434i
\(646\) 1.77227 13.2101i 0.0697290 0.519745i
\(647\) 7.84089 19.9783i 0.308257 0.785427i −0.689851 0.723951i \(-0.742324\pi\)
0.998109 0.0614756i \(-0.0195806\pi\)
\(648\) 1.97726 2.02249i 0.0776740 0.0794508i
\(649\) 1.30059 + 0.0974656i 0.0510525 + 0.00382586i
\(650\) −37.7437 2.21295i −1.48043 0.0867989i
\(651\) −22.0889 4.55836i −0.865734 0.178656i
\(652\) 14.4942 9.00798i 0.567636 0.352780i
\(653\) 29.7952 4.49090i 1.16598 0.175742i 0.462604 0.886565i \(-0.346915\pi\)
0.703371 + 0.710823i \(0.251677\pi\)
\(654\) −11.1407 5.14395i −0.435635 0.201144i
\(655\) −31.1037 + 17.9578i −1.21532 + 0.701668i
\(656\) −5.36754 + 0.755000i −0.209567 + 0.0294778i
\(657\) −0.563379 1.16987i −0.0219795 0.0456409i
\(658\) −11.5189 4.03415i −0.449054 0.157268i
\(659\) −3.12846 + 6.49631i −0.121867 + 0.253060i −0.952974 0.303054i \(-0.901994\pi\)
0.831106 + 0.556114i \(0.187708\pi\)
\(660\) −2.13357 + 2.86126i −0.0830489 + 0.111374i
\(661\) 5.49704 + 5.92440i 0.213810 + 0.230432i 0.830846 0.556503i \(-0.187857\pi\)
−0.617036 + 0.786935i \(0.711667\pi\)
\(662\) −20.3199 15.6717i −0.789754 0.609097i
\(663\) 17.1860 11.7172i 0.667449 0.455059i
\(664\) 38.6228 1.88272i 1.49886 0.0730637i
\(665\) −9.83490 8.75029i −0.381381 0.339322i
\(666\) 5.57668 3.93625i 0.216092 0.152526i
\(667\) −48.6101 28.0650i −1.88219 1.08668i
\(668\) −12.4867 10.8532i −0.483125 0.419924i
\(669\) 13.7551 + 9.37805i 0.531802 + 0.362577i
\(670\) 75.3499 24.5890i 2.91102 0.949956i
\(671\) 0.286573 + 1.25556i 0.0110630 + 0.0484703i
\(672\) 7.12709 13.1607i 0.274933 0.507686i
\(673\) 4.67224 20.4704i 0.180102 0.789077i −0.801478 0.598024i \(-0.795953\pi\)
0.981580 0.191053i \(-0.0611901\pi\)
\(674\) 0.723761 + 7.92832i 0.0278782 + 0.305387i
\(675\) −8.75500 + 2.70056i −0.336980 + 0.103945i
\(676\) 0.379603 8.96277i 0.0146001 0.344722i
\(677\) 12.3539 40.0504i 0.474799 1.53926i −0.328982 0.944336i \(-0.606706\pi\)
0.803781 0.594925i \(-0.202818\pi\)
\(678\) 7.09856 12.7695i 0.272619 0.490408i
\(679\) −17.5368 11.4271i −0.673000 0.438534i
\(680\) −69.8822 29.5532i −2.67986 1.13331i
\(681\) 9.03145 + 23.0118i 0.346086 + 0.881812i
\(682\) −5.55230 + 1.36248i −0.212608 + 0.0521720i
\(683\) −4.12764 + 27.3851i −0.157940 + 1.04786i 0.759650 + 0.650332i \(0.225370\pi\)
−0.917589 + 0.397529i \(0.869868\pi\)
\(684\) 2.41841 + 1.06936i 0.0924703 + 0.0408880i
\(685\) 29.6757i 1.13385i
\(686\) −19.2729 17.7357i −0.735844 0.677151i
\(687\) 16.1855i 0.617517i
\(688\) 1.74710 20.5884i 0.0666077 0.784925i
\(689\) 2.97415 19.7322i 0.113306 0.751738i
\(690\) 11.2860 + 45.9920i 0.429650 + 1.75089i
\(691\) −1.68651 4.29715i −0.0641578 0.163471i 0.895199 0.445666i \(-0.147033\pi\)
−0.959357 + 0.282194i \(0.908938\pi\)
\(692\) 5.74589 9.04527i 0.218426 0.343850i
\(693\) −1.05118 0.684958i −0.0399310 0.0260194i
\(694\) 28.1369 + 15.6413i 1.06806 + 0.593737i
\(695\) −12.4571 + 40.3850i −0.472525 + 1.53189i
\(696\) 2.19800 + 17.7059i 0.0833150 + 0.671140i
\(697\) −9.23040 + 2.84720i −0.349626 + 0.107845i
\(698\) 5.26571 0.480697i 0.199310 0.0181946i
\(699\) −2.59354 + 11.3630i −0.0980966 + 0.429789i
\(700\) −40.6330 + 26.4455i −1.53578 + 0.999544i
\(701\) −5.96322 26.1266i −0.225228 0.986787i −0.953475 0.301473i \(-0.902522\pi\)
0.728247 0.685315i \(-0.240335\pi\)
\(702\) 1.28021 + 3.92304i 0.0483184 + 0.148066i
\(703\) 5.27268 + 3.59485i 0.198863 + 0.135582i
\(704\) 0.197881 3.78854i 0.00745792 0.142786i
\(705\) −10.6308 6.13767i −0.400378 0.231158i
\(706\) −20.5716 29.1449i −0.774222 1.09688i
\(707\) 23.6726 + 21.0619i 0.890299 + 0.792116i
\(708\) −5.46295 0.642805i −0.205310 0.0241581i
\(709\) 12.2425 8.34682i 0.459778 0.313471i −0.311187 0.950349i \(-0.600727\pi\)
0.770965 + 0.636877i \(0.219774\pi\)
\(710\) 33.2385 43.0970i 1.24742 1.61740i
\(711\) −6.25702 6.74347i −0.234657 0.252900i
\(712\) 22.0242 + 11.3234i 0.825392 + 0.424362i
\(713\) −32.9122 + 68.3429i −1.23257 + 2.55946i
\(714\) 8.81594 25.1726i 0.329928 0.942061i
\(715\) −2.25939 4.69167i −0.0844964 0.175459i
\(716\) −19.1201 3.71542i −0.714553 0.138852i
\(717\) −3.20492 + 1.85036i −0.119690 + 0.0691030i
\(718\) 14.3566 31.0933i 0.535784 1.16039i
\(719\) 19.5518 2.94696i 0.729159 0.109903i 0.226037 0.974119i \(-0.427423\pi\)
0.503121 + 0.864216i \(0.332185\pi\)
\(720\) 9.50093 11.6758i 0.354079 0.435133i
\(721\) 13.0282 + 2.68854i 0.485194 + 0.100126i
\(722\) 1.42802 24.3561i 0.0531454 0.906440i
\(723\) 3.96047 + 0.296796i 0.147291 + 0.0110380i
\(724\) −2.53591 3.47171i −0.0942463 0.129025i
\(725\) 21.1147 53.7993i 0.784179 1.99806i
\(726\) 15.1030 + 2.02622i 0.560525 + 0.0752001i
\(727\) −14.8493 + 18.6204i −0.550729 + 0.690593i −0.976814 0.214091i \(-0.931321\pi\)
0.426084 + 0.904683i \(0.359893\pi\)
\(728\) 12.2068 + 18.1056i 0.452413 + 0.671038i
\(729\) 0.623490 + 0.781831i 0.0230922 + 0.0289567i
\(730\) −3.55192 5.92772i −0.131462 0.219395i
\(731\) −2.75171 36.7190i −0.101776 1.35810i
\(732\) −0.983470 5.34174i −0.0363501 0.197436i
\(733\) 8.83261 9.51929i 0.326240 0.351603i −0.548539 0.836125i \(-0.684816\pi\)
0.874779 + 0.484522i \(0.161006\pi\)
\(734\) −4.13617 + 0.692282i −0.152669 + 0.0255526i
\(735\) −15.7356 21.1265i −0.580418 0.779263i
\(736\) −37.1164 34.0009i −1.36813 1.25329i
\(737\) 5.17710 + 4.80365i 0.190701 + 0.176945i
\(738\) −0.0311130 1.91614i −0.00114529 0.0705341i
\(739\) −3.64746 + 0.273340i −0.134174 + 0.0100550i −0.141648 0.989917i \(-0.545240\pi\)
0.00747373 + 0.999972i \(0.497621\pi\)
\(740\) 27.6520 23.5602i 1.01651 0.866092i
\(741\) −3.01629 + 2.40541i −0.110806 + 0.0883651i
\(742\) −11.9503 22.6260i −0.438710 0.830625i
\(743\) −15.1389 12.0729i −0.555394 0.442912i 0.305138 0.952308i \(-0.401297\pi\)
−0.860532 + 0.509396i \(0.829869\pi\)
\(744\) 23.6391 4.75024i 0.866651 0.174152i
\(745\) −52.6140 20.6495i −1.92763 0.756537i
\(746\) −35.9928 + 18.0588i −1.31779 + 0.661181i
\(747\) −1.02167 + 13.6332i −0.0373809 + 0.498813i
\(748\) −0.723839 6.72181i −0.0264662 0.245774i
\(749\) −32.1690 38.6537i −1.17543 1.41237i
\(750\) −20.4852 + 8.42619i −0.748015 + 0.307681i
\(751\) 0.383135 + 2.54193i 0.0139808 + 0.0927564i 0.994733 0.102500i \(-0.0326842\pi\)
−0.980752 + 0.195256i \(0.937446\pi\)
\(752\) 13.0201 0.846764i 0.474794 0.0308783i
\(753\) 0.157905 + 0.273499i 0.00575437 + 0.00996687i
\(754\) −24.3828 9.11553i −0.887968 0.331968i
\(755\) −18.1622 + 8.74645i −0.660990 + 0.318316i
\(756\) 4.30715 + 3.07383i 0.156650 + 0.111794i
\(757\) 18.5014 + 8.90980i 0.672444 + 0.323832i 0.738762 0.673966i \(-0.235411\pi\)
−0.0663177 + 0.997799i \(0.521125\pi\)
\(758\) 11.2257 + 11.7112i 0.407736 + 0.425371i
\(759\) −3.09321 + 2.87008i −0.112276 + 0.104177i
\(760\) 13.3350 + 4.49751i 0.483710 + 0.163142i
\(761\) 1.80002 + 2.64014i 0.0652506 + 0.0957051i 0.857477 0.514522i \(-0.172031\pi\)
−0.792227 + 0.610227i \(0.791078\pi\)
\(762\) 0.645859 2.22124i 0.0233970 0.0804669i
\(763\) 6.30686 22.0734i 0.228324 0.799111i
\(764\) 5.70943 + 5.76598i 0.206560 + 0.208606i
\(765\) 13.4128 23.2317i 0.484941 0.839943i
\(766\) 5.34309 + 6.48130i 0.193054 + 0.234179i
\(767\) 4.52085 6.63087i 0.163238 0.239427i
\(768\) −1.50994 + 15.9286i −0.0544854 + 0.574774i
\(769\) −45.4577 + 10.3754i −1.63925 + 0.374148i −0.940118 0.340848i \(-0.889286\pi\)
−0.699129 + 0.714995i \(0.746429\pi\)
\(770\) −5.90265 3.12169i −0.212717 0.112498i
\(771\) 17.0760