Properties

Label 483.2.y.a.193.3
Level $483$
Weight $2$
Character 483.193
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 193.3
Character \(\chi\) \(=\) 483.193
Dual form 483.2.y.a.478.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.49269 - 1.42328i) q^{2} +(-0.981929 + 0.189251i) q^{3} +(0.107243 + 2.25132i) q^{4} +(2.56270 - 2.01533i) q^{5} +(1.73508 + 1.11507i) q^{6} +(0.200482 - 2.63814i) q^{7} +(0.342886 - 0.395711i) q^{8} +(0.928368 - 0.371662i) q^{9} +O(q^{10})\) \(q+(-1.49269 - 1.42328i) q^{2} +(-0.981929 + 0.189251i) q^{3} +(0.107243 + 2.25132i) q^{4} +(2.56270 - 2.01533i) q^{5} +(1.73508 + 1.11507i) q^{6} +(0.200482 - 2.63814i) q^{7} +(0.342886 - 0.395711i) q^{8} +(0.928368 - 0.371662i) q^{9} +(-6.69370 - 0.639171i) q^{10} +(2.38321 - 2.27239i) q^{11} +(-0.531370 - 2.19034i) q^{12} +(2.65776 + 5.81968i) q^{13} +(-4.05408 + 3.65260i) q^{14} +(-2.13498 + 2.46390i) q^{15} +(3.41229 - 0.325834i) q^{16} +(6.09068 - 3.13996i) q^{17} +(-1.91475 - 0.766550i) q^{18} +(-4.63740 - 2.39075i) q^{19} +(4.81197 + 5.55331i) q^{20} +(0.302413 + 2.62841i) q^{21} -6.79165 q^{22} +(4.03592 + 2.59063i) q^{23} +(-0.261800 + 0.453452i) q^{24} +(1.32708 - 5.47029i) q^{25} +(4.31582 - 12.4697i) q^{26} +(-0.841254 + 0.540641i) q^{27} +(5.96080 + 0.168424i) q^{28} +(1.05851 + 0.680262i) q^{29} +(6.69370 - 0.639171i) q^{30} +(-1.03694 - 2.99604i) q^{31} +(-6.38042 - 5.01762i) q^{32} +(-1.91009 + 2.68235i) q^{33} +(-13.5606 - 3.98174i) q^{34} +(-4.80295 - 7.16480i) q^{35} +(0.936291 + 2.05019i) q^{36} +(-5.16799 + 2.06895i) q^{37} +(3.51952 + 10.1690i) q^{38} +(-3.71111 - 5.21153i) q^{39} +(0.0812246 - 1.70511i) q^{40} +(0.196975 + 1.36999i) q^{41} +(3.28956 - 4.35384i) q^{42} +(-2.12285 - 2.44990i) q^{43} +(5.37144 + 5.12166i) q^{44} +(1.63010 - 2.82342i) q^{45} +(-2.33719 - 9.61127i) q^{46} +(-1.95592 - 3.38776i) q^{47} +(-3.28896 + 0.965727i) q^{48} +(-6.91961 - 1.05780i) q^{49} +(-9.76668 + 6.27667i) q^{50} +(-5.38637 + 4.23589i) q^{51} +(-12.8169 + 6.60758i) q^{52} +(-3.40318 - 4.77910i) q^{53} +(2.02522 + 0.390329i) q^{54} +(1.52784 - 10.6264i) q^{55} +(-0.975201 - 0.983915i) q^{56} +(5.00605 + 1.46991i) q^{57} +(-0.611826 - 2.52198i) q^{58} +(0.549878 + 0.0525070i) q^{59} +(-5.77598 - 4.54228i) q^{60} +(-5.94360 - 1.14553i) q^{61} +(-2.71637 + 5.94803i) q^{62} +(-0.794378 - 2.52368i) q^{63} +(1.40688 + 9.78506i) q^{64} +(18.5396 + 9.55782i) q^{65} +(6.66892 - 1.28533i) q^{66} +(-2.06767 + 8.52304i) q^{67} +(7.72223 + 13.3753i) q^{68} +(-4.45326 - 1.78001i) q^{69} +(-3.02819 + 17.5308i) q^{70} +(-3.17814 + 0.933185i) q^{71} +(0.171253 - 0.494803i) q^{72} +(0.456156 + 9.57590i) q^{73} +(10.6589 + 4.26719i) q^{74} +(-0.267837 + 5.62259i) q^{75} +(4.88500 - 10.6967i) q^{76} +(-5.51709 - 6.74283i) q^{77} +(-1.87791 + 13.0612i) q^{78} +(9.61930 - 13.5084i) q^{79} +(8.08801 - 7.71190i) q^{80} +(0.723734 - 0.690079i) q^{81} +(1.65586 - 2.32532i) q^{82} +(-0.164893 + 1.14686i) q^{83} +(-5.88495 + 0.962707i) q^{84} +(9.28051 - 20.3215i) q^{85} +(-0.318129 + 6.67836i) q^{86} +(-1.16812 - 0.467645i) q^{87} +(-0.0820400 - 1.72223i) q^{88} +(2.61385 - 7.55223i) q^{89} +(-6.45178 + 1.89441i) q^{90} +(15.8860 - 5.84481i) q^{91} +(-5.39951 + 9.36395i) q^{92} +(1.58520 + 2.74565i) q^{93} +(-1.90214 + 7.84072i) q^{94} +(-16.7024 + 3.21912i) q^{95} +(7.21471 + 3.71944i) q^{96} +(2.47214 + 17.1941i) q^{97} +(8.82332 + 11.4275i) q^{98} +(1.36794 - 2.99536i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 8q^{10} - 6q^{11} - 18q^{12} - 10q^{14} + 18q^{15} + 8q^{16} + 4q^{17} + 2q^{18} + 18q^{20} + 4q^{21} - 176q^{22} - 18q^{23} - 6q^{24} + 8q^{25} - 14q^{26} + 32q^{27} + 46q^{28} + 34q^{29} - 8q^{30} + 52q^{31} - 8q^{32} - 5q^{33} - 24q^{34} - 12q^{35} - 14q^{36} - 30q^{37} - 157q^{38} + 88q^{40} - 28q^{41} - 45q^{42} + 64q^{43} - 71q^{44} - 2q^{45} + 4q^{46} + 36q^{47} + 60q^{48} + 28q^{49} + 210q^{50} - 26q^{51} - 198q^{52} - 10q^{53} - 2q^{54} - 4q^{55} + 44q^{57} + 31q^{58} + 10q^{59} - 2q^{60} - 34q^{61} - 8q^{62} + 2q^{63} + 84q^{64} + 38q^{65} - 12q^{67} - 22q^{68} + 8q^{69} - 336q^{70} - 144q^{71} + 6q^{72} - 16q^{73} - 68q^{74} - 30q^{75} + 8q^{76} + 98q^{77} + 16q^{78} + 26q^{79} + 225q^{80} + 16q^{81} - 122q^{82} + 44q^{84} - 240q^{85} - 26q^{86} - 16q^{87} + 43q^{88} + 68q^{89} - 16q^{90} + 40q^{91} - 222q^{92} - 8q^{93} + 137q^{94} - 49q^{95} + 30q^{96} - 8q^{97} + 137q^{98} - 10q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{5}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.49269 1.42328i −1.05549 1.00641i −0.999968 0.00795484i \(-0.997468\pi\)
−0.0555262 0.998457i \(-0.517684\pi\)
\(3\) −0.981929 + 0.189251i −0.566917 + 0.109264i
\(4\) 0.107243 + 2.25132i 0.0536217 + 1.12566i
\(5\) 2.56270 2.01533i 1.14607 0.901282i 0.149901 0.988701i \(-0.452104\pi\)
0.996172 + 0.0874192i \(0.0278620\pi\)
\(6\) 1.73508 + 1.11507i 0.708342 + 0.455224i
\(7\) 0.200482 2.63814i 0.0757750 0.997125i
\(8\) 0.342886 0.395711i 0.121228 0.139905i
\(9\) 0.928368 0.371662i 0.309456 0.123887i
\(10\) −6.69370 0.639171i −2.11673 0.202124i
\(11\) 2.38321 2.27239i 0.718565 0.685150i −0.239759 0.970832i \(-0.577069\pi\)
0.958324 + 0.285682i \(0.0922201\pi\)
\(12\) −0.531370 2.19034i −0.153393 0.632295i
\(13\) 2.65776 + 5.81968i 0.737130 + 1.61409i 0.788219 + 0.615395i \(0.211003\pi\)
−0.0510893 + 0.998694i \(0.516269\pi\)
\(14\) −4.05408 + 3.65260i −1.08350 + 0.976199i
\(15\) −2.13498 + 2.46390i −0.551250 + 0.636177i
\(16\) 3.41229 0.325834i 0.853073 0.0814586i
\(17\) 6.09068 3.13996i 1.47721 0.761553i 0.483689 0.875240i \(-0.339296\pi\)
0.993517 + 0.113687i \(0.0362662\pi\)
\(18\) −1.91475 0.766550i −0.451311 0.180678i
\(19\) −4.63740 2.39075i −1.06389 0.548475i −0.164843 0.986320i \(-0.552712\pi\)
−0.899051 + 0.437845i \(0.855742\pi\)
\(20\) 4.81197 + 5.55331i 1.07599 + 1.24176i
\(21\) 0.302413 + 2.62841i 0.0659920 + 0.573566i
\(22\) −6.79165 −1.44799
\(23\) 4.03592 + 2.59063i 0.841547 + 0.540184i
\(24\) −0.261800 + 0.453452i −0.0534398 + 0.0925604i
\(25\) 1.32708 5.47029i 0.265416 1.09406i
\(26\) 4.31582 12.4697i 0.846402 2.44552i
\(27\) −0.841254 + 0.540641i −0.161899 + 0.104046i
\(28\) 5.96080 + 0.168424i 1.12648 + 0.0318292i
\(29\) 1.05851 + 0.680262i 0.196560 + 0.126322i 0.635219 0.772332i \(-0.280910\pi\)
−0.438659 + 0.898654i \(0.644546\pi\)
\(30\) 6.69370 0.639171i 1.22210 0.116696i
\(31\) −1.03694 2.99604i −0.186240 0.538104i 0.812771 0.582584i \(-0.197958\pi\)
−0.999010 + 0.0444796i \(0.985837\pi\)
\(32\) −6.38042 5.01762i −1.12791 0.886998i
\(33\) −1.91009 + 2.68235i −0.332504 + 0.466937i
\(34\) −13.5606 3.98174i −2.32562 0.682863i
\(35\) −4.80295 7.16480i −0.811847 1.21107i
\(36\) 0.936291 + 2.05019i 0.156048 + 0.341698i
\(37\) −5.16799 + 2.06895i −0.849613 + 0.340134i −0.755276 0.655407i \(-0.772497\pi\)
−0.0943366 + 0.995540i \(0.530073\pi\)
\(38\) 3.51952 + 10.1690i 0.570942 + 1.64963i
\(39\) −3.71111 5.21153i −0.594253 0.834512i
\(40\) 0.0812246 1.70511i 0.0128427 0.269602i
\(41\) 0.196975 + 1.36999i 0.0307623 + 0.213956i 0.999405 0.0345031i \(-0.0109849\pi\)
−0.968642 + 0.248459i \(0.920076\pi\)
\(42\) 3.28956 4.35384i 0.507590 0.671811i
\(43\) −2.12285 2.44990i −0.323731 0.373606i 0.570434 0.821344i \(-0.306775\pi\)
−0.894165 + 0.447738i \(0.852230\pi\)
\(44\) 5.37144 + 5.12166i 0.809775 + 0.772119i
\(45\) 1.63010 2.82342i 0.243002 0.420891i
\(46\) −2.33719 9.61127i −0.344600 1.41710i
\(47\) −1.95592 3.38776i −0.285301 0.494155i 0.687381 0.726297i \(-0.258760\pi\)
−0.972682 + 0.232141i \(0.925427\pi\)
\(48\) −3.28896 + 0.965727i −0.474721 + 0.139391i
\(49\) −6.91961 1.05780i −0.988516 0.151114i
\(50\) −9.76668 + 6.27667i −1.38122 + 0.887655i
\(51\) −5.38637 + 4.23589i −0.754242 + 0.593143i
\(52\) −12.8169 + 6.60758i −1.77739 + 0.916306i
\(53\) −3.40318 4.77910i −0.467463 0.656460i 0.511788 0.859112i \(-0.328983\pi\)
−0.979251 + 0.202652i \(0.935044\pi\)
\(54\) 2.02522 + 0.390329i 0.275597 + 0.0531170i
\(55\) 1.52784 10.6264i 0.206014 1.43286i
\(56\) −0.975201 0.983915i −0.130317 0.131481i
\(57\) 5.00605 + 1.46991i 0.663068 + 0.194694i
\(58\) −0.611826 2.52198i −0.0803366 0.331152i
\(59\) 0.549878 + 0.0525070i 0.0715880 + 0.00683583i 0.130789 0.991410i \(-0.458249\pi\)
−0.0592006 + 0.998246i \(0.518855\pi\)
\(60\) −5.77598 4.54228i −0.745676 0.586406i
\(61\) −5.94360 1.14553i −0.761000 0.146671i −0.206035 0.978545i \(-0.566056\pi\)
−0.554965 + 0.831874i \(0.687268\pi\)
\(62\) −2.71637 + 5.94803i −0.344980 + 0.755400i
\(63\) −0.794378 2.52368i −0.100082 0.317954i
\(64\) 1.40688 + 9.78506i 0.175860 + 1.22313i
\(65\) 18.5396 + 9.55782i 2.29955 + 1.18550i
\(66\) 6.66892 1.28533i 0.820887 0.158213i
\(67\) −2.06767 + 8.52304i −0.252606 + 1.04126i 0.694285 + 0.719700i \(0.255721\pi\)
−0.946891 + 0.321555i \(0.895794\pi\)
\(68\) 7.72223 + 13.3753i 0.936458 + 1.62199i
\(69\) −4.45326 1.78001i −0.536110 0.214289i
\(70\) −3.02819 + 17.5308i −0.361938 + 2.09533i
\(71\) −3.17814 + 0.933185i −0.377175 + 0.110749i −0.464825 0.885403i \(-0.653883\pi\)
0.0876493 + 0.996151i \(0.472065\pi\)
\(72\) 0.171253 0.494803i 0.0201824 0.0583131i
\(73\) 0.456156 + 9.57590i 0.0533891 + 1.12077i 0.853557 + 0.520999i \(0.174440\pi\)
−0.800168 + 0.599776i \(0.795256\pi\)
\(74\) 10.6589 + 4.26719i 1.23908 + 0.496051i
\(75\) −0.267837 + 5.62259i −0.0309271 + 0.649240i
\(76\) 4.88500 10.6967i 0.560348 1.22699i
\(77\) −5.51709 6.74283i −0.628731 0.768416i
\(78\) −1.87791 + 13.0612i −0.212632 + 1.47889i
\(79\) 9.61930 13.5084i 1.08226 1.51981i 0.247743 0.968826i \(-0.420311\pi\)
0.834512 0.550989i \(-0.185749\pi\)
\(80\) 8.08801 7.71190i 0.904267 0.862217i
\(81\) 0.723734 0.690079i 0.0804149 0.0766754i
\(82\) 1.65586 2.32532i 0.182859 0.256789i
\(83\) −0.164893 + 1.14686i −0.0180994 + 0.125884i −0.996868 0.0790847i \(-0.974800\pi\)
0.978768 + 0.204969i \(0.0657093\pi\)
\(84\) −5.88495 + 0.962707i −0.642101 + 0.105040i
\(85\) 9.28051 20.3215i 1.00661 2.20417i
\(86\) −0.318129 + 6.67836i −0.0343048 + 0.720146i
\(87\) −1.16812 0.467645i −0.125236 0.0501368i
\(88\) −0.0820400 1.72223i −0.00874549 0.183591i
\(89\) 2.61385 7.55223i 0.277068 0.800534i −0.717511 0.696547i \(-0.754719\pi\)
0.994579 0.103987i \(-0.0331601\pi\)
\(90\) −6.45178 + 1.89441i −0.680077 + 0.199689i
\(91\) 15.8860 5.84481i 1.66530 0.612703i
\(92\) −5.39951 + 9.36395i −0.562937 + 0.976259i
\(93\) 1.58520 + 2.74565i 0.164378 + 0.284711i
\(94\) −1.90214 + 7.84072i −0.196190 + 0.808708i
\(95\) −16.7024 + 3.21912i −1.71363 + 0.330275i
\(96\) 7.21471 + 3.71944i 0.736348 + 0.379614i
\(97\) 2.47214 + 17.1941i 0.251008 + 1.74580i 0.592190 + 0.805799i \(0.298264\pi\)
−0.341182 + 0.939997i \(0.610827\pi\)
\(98\) 8.82332 + 11.4275i 0.891290 + 1.15436i
\(99\) 1.36794 2.99536i 0.137483 0.301045i
\(100\) 12.4577 + 2.40102i 1.24577 + 0.240102i
\(101\) −8.33858 6.55753i −0.829720 0.652499i 0.110194 0.993910i \(-0.464853\pi\)
−0.939914 + 0.341411i \(0.889095\pi\)
\(102\) 14.0691 + 1.34343i 1.39304 + 0.133020i
\(103\) 1.62955 + 6.71710i 0.160564 + 0.661856i 0.994013 + 0.109259i \(0.0348478\pi\)
−0.833449 + 0.552597i \(0.813637\pi\)
\(104\) 3.21422 + 0.943780i 0.315180 + 0.0925452i
\(105\) 6.07210 + 6.12636i 0.592577 + 0.597872i
\(106\) −1.72209 + 11.9774i −0.167264 + 1.16335i
\(107\) −4.35699 0.839741i −0.421206 0.0811808i −0.0257560 0.999668i \(-0.508199\pi\)
−0.395450 + 0.918487i \(0.629411\pi\)
\(108\) −1.30737 1.83595i −0.125802 0.176664i
\(109\) 13.5443 6.98258i 1.29731 0.668810i 0.335375 0.942085i \(-0.391137\pi\)
0.961936 + 0.273274i \(0.0881067\pi\)
\(110\) −17.4049 + 13.6874i −1.65950 + 1.30504i
\(111\) 4.68305 3.00961i 0.444495 0.285660i
\(112\) −0.175496 9.06745i −0.0165828 0.856793i
\(113\) 2.76329 0.811375i 0.259948 0.0763277i −0.149162 0.988813i \(-0.547657\pi\)
0.409110 + 0.912485i \(0.365839\pi\)
\(114\) −5.38041 9.31915i −0.503922 0.872818i
\(115\) 15.5638 1.49469i 1.45133 0.139380i
\(116\) −1.41797 + 2.45599i −0.131655 + 0.228033i
\(117\) 4.63033 + 4.41502i 0.428075 + 0.408168i
\(118\) −0.746068 0.861008i −0.0686811 0.0792622i
\(119\) −7.06260 16.6976i −0.647428 1.53067i
\(120\) 0.242938 + 1.68967i 0.0221771 + 0.154245i
\(121\) −0.00744966 + 0.156388i −0.000677242 + 0.0142171i
\(122\) 7.24156 + 10.1693i 0.655620 + 0.920690i
\(123\) −0.452687 1.30795i −0.0408174 0.117934i
\(124\) 6.63382 2.65578i 0.595735 0.238496i
\(125\) −0.851827 1.86524i −0.0761897 0.166832i
\(126\) −2.40614 + 4.89771i −0.214356 + 0.436323i
\(127\) −1.64309 0.482454i −0.145800 0.0428109i 0.208018 0.978125i \(-0.433299\pi\)
−0.353818 + 0.935314i \(0.615117\pi\)
\(128\) 2.41017 3.38461i 0.213031 0.299160i
\(129\) 2.54813 + 2.00387i 0.224350 + 0.176431i
\(130\) −14.0705 40.6540i −1.23406 3.56559i
\(131\) 6.52485 0.623048i 0.570079 0.0544359i 0.193963 0.981009i \(-0.437866\pi\)
0.376115 + 0.926573i \(0.377260\pi\)
\(132\) −6.24365 4.01255i −0.543440 0.349248i
\(133\) −7.23685 + 11.7548i −0.627515 + 1.01927i
\(134\) 15.2171 9.77943i 1.31456 0.844814i
\(135\) −1.06631 + 3.08090i −0.0917733 + 0.265162i
\(136\) 0.845888 3.48680i 0.0725343 0.298990i
\(137\) −2.26999 + 3.93173i −0.193938 + 0.335910i −0.946552 0.322552i \(-0.895459\pi\)
0.752614 + 0.658462i \(0.228793\pi\)
\(138\) 4.11390 + 8.99527i 0.350198 + 0.765728i
\(139\) 11.2938 0.957927 0.478964 0.877835i \(-0.341013\pi\)
0.478964 + 0.877835i \(0.341013\pi\)
\(140\) 15.6151 11.5813i 1.31972 0.978801i
\(141\) 2.56171 + 2.95638i 0.215735 + 0.248972i
\(142\) 6.07217 + 3.13042i 0.509565 + 0.262699i
\(143\) 19.5586 + 7.83007i 1.63557 + 0.654783i
\(144\) 3.04676 1.57072i 0.253897 0.130893i
\(145\) 4.08359 0.389935i 0.339124 0.0323824i
\(146\) 12.9483 14.9431i 1.07161 1.23670i
\(147\) 6.99476 0.270861i 0.576918 0.0223402i
\(148\) −5.21210 11.4129i −0.428432 0.938135i
\(149\) 0.508478 + 2.09598i 0.0416562 + 0.171709i 0.988840 0.148983i \(-0.0475998\pi\)
−0.947184 + 0.320692i \(0.896085\pi\)
\(150\) 8.40232 8.01160i 0.686047 0.654144i
\(151\) −20.6573 1.97253i −1.68107 0.160523i −0.789605 0.613615i \(-0.789715\pi\)
−0.891464 + 0.453092i \(0.850321\pi\)
\(152\) −2.53614 + 1.01532i −0.205709 + 0.0823533i
\(153\) 4.48738 5.17872i 0.362783 0.418674i
\(154\) −1.36160 + 17.9174i −0.109721 + 1.44382i
\(155\) −8.69536 5.58817i −0.698428 0.448852i
\(156\) 11.3348 8.91378i 0.907510 0.713674i
\(157\) 1.05966 + 22.2451i 0.0845703 + 1.77535i 0.500292 + 0.865857i \(0.333226\pi\)
−0.415721 + 0.909492i \(0.636471\pi\)
\(158\) −33.5849 + 6.47297i −2.67187 + 0.514962i
\(159\) 4.24613 + 4.04868i 0.336740 + 0.321081i
\(160\) −26.4632 −2.09210
\(161\) 7.64359 10.1280i 0.602399 0.798195i
\(162\) −2.06249 −0.162045
\(163\) 1.80594 + 1.72196i 0.141452 + 0.134874i 0.757502 0.652833i \(-0.226420\pi\)
−0.616050 + 0.787707i \(0.711268\pi\)
\(164\) −3.06315 + 0.590374i −0.239192 + 0.0461005i
\(165\) 0.510823 + 10.7235i 0.0397675 + 0.834824i
\(166\) 1.87844 1.47722i 0.145795 0.114655i
\(167\) 21.0455 + 13.5251i 1.62855 + 1.04661i 0.950094 + 0.311965i \(0.100987\pi\)
0.678456 + 0.734641i \(0.262649\pi\)
\(168\) 1.14378 + 0.781576i 0.0882449 + 0.0602999i
\(169\) −18.2918 + 21.1099i −1.40706 + 1.62384i
\(170\) −42.7761 + 17.1250i −3.28078 + 1.31343i
\(171\) −5.19377 0.495945i −0.397177 0.0379258i
\(172\) 5.28783 5.04193i 0.403193 0.384444i
\(173\) 2.23369 + 9.20738i 0.169824 + 0.700024i 0.991504 + 0.130075i \(0.0415218\pi\)
−0.821680 + 0.569949i \(0.806963\pi\)
\(174\) 1.07806 + 2.36062i 0.0817273 + 0.178958i
\(175\) −14.1654 4.59772i −1.07080 0.347555i
\(176\) 7.39179 8.53058i 0.557177 0.643017i
\(177\) −0.549878 + 0.0525070i −0.0413314 + 0.00394667i
\(178\) −14.6506 + 7.55292i −1.09811 + 0.566116i
\(179\) −9.32013 3.73122i −0.696619 0.278884i −0.00379709 0.999993i \(-0.501209\pi\)
−0.692822 + 0.721109i \(0.743633\pi\)
\(180\) 6.53123 + 3.36709i 0.486809 + 0.250968i
\(181\) 11.8465 + 13.6716i 0.880543 + 1.01620i 0.999728 + 0.0233290i \(0.00742652\pi\)
−0.119185 + 0.992872i \(0.538028\pi\)
\(182\) −32.0317 13.8857i −2.37435 1.02928i
\(183\) 6.05298 0.447449
\(184\) 2.40900 0.708766i 0.177594 0.0522509i
\(185\) −9.07438 + 15.7173i −0.667162 + 1.15556i
\(186\) 1.54161 6.35461i 0.113037 0.465943i
\(187\) 7.38016 21.3236i 0.539691 1.55933i
\(188\) 7.41715 4.76671i 0.540951 0.347648i
\(189\) 1.25763 + 2.32774i 0.0914793 + 0.169318i
\(190\) 29.5133 + 18.9671i 2.14112 + 1.37601i
\(191\) −12.1436 + 1.15957i −0.878677 + 0.0839035i −0.524636 0.851327i \(-0.675799\pi\)
−0.354041 + 0.935230i \(0.615193\pi\)
\(192\) −3.23329 9.34198i −0.233343 0.674199i
\(193\) −6.68688 5.25862i −0.481332 0.378524i 0.347807 0.937566i \(-0.386926\pi\)
−0.829139 + 0.559042i \(0.811169\pi\)
\(194\) 20.7819 29.1841i 1.49205 2.09530i
\(195\) −20.0134 5.87646i −1.43319 0.420822i
\(196\) 1.63936 15.6917i 0.117097 1.12083i
\(197\) −9.49871 20.7993i −0.676755 1.48189i −0.866045 0.499966i \(-0.833346\pi\)
0.189290 0.981921i \(-0.439382\pi\)
\(198\) −6.30515 + 2.52420i −0.448088 + 0.179387i
\(199\) 3.15957 + 9.12898i 0.223976 + 0.647136i 0.999868 + 0.0162701i \(0.00517916\pi\)
−0.775892 + 0.630866i \(0.782700\pi\)
\(200\) −1.70962 2.40082i −0.120888 0.169764i
\(201\) 0.417306 8.76033i 0.0294345 0.617906i
\(202\) 3.11374 + 21.6565i 0.219082 + 1.52375i
\(203\) 2.00684 2.65612i 0.140853 0.186423i
\(204\) −10.1140 11.6721i −0.708119 0.817213i
\(205\) 3.26576 + 3.11390i 0.228091 + 0.217484i
\(206\) 7.12790 12.3459i 0.496625 0.860179i
\(207\) 4.70966 + 0.905062i 0.327344 + 0.0629061i
\(208\) 10.9653 + 18.9925i 0.760307 + 1.31689i
\(209\) −16.4846 + 4.84032i −1.14026 + 0.334812i
\(210\) −0.344260 17.7871i −0.0237562 1.22743i
\(211\) −4.79630 + 3.08240i −0.330191 + 0.212201i −0.695223 0.718794i \(-0.744694\pi\)
0.365032 + 0.930995i \(0.381058\pi\)
\(212\) 10.3943 8.17416i 0.713883 0.561403i
\(213\) 2.94410 1.51779i 0.201726 0.103997i
\(214\) 5.30847 + 7.45470i 0.362879 + 0.509593i
\(215\) −10.3776 2.00011i −0.707744 0.136406i
\(216\) −0.0745162 + 0.518271i −0.00507018 + 0.0352639i
\(217\) −8.11187 + 2.13494i −0.550669 + 0.144929i
\(218\) −30.1557 8.85452i −2.04240 0.599704i
\(219\) −2.26016 9.31653i −0.152728 0.629552i
\(220\) 24.0872 + 2.30005i 1.62396 + 0.155069i
\(221\) 34.4611 + 27.1005i 2.31811 + 1.82298i
\(222\) −11.2739 2.17286i −0.756654 0.145833i
\(223\) 4.20972 9.21799i 0.281903 0.617283i −0.714718 0.699413i \(-0.753445\pi\)
0.996622 + 0.0821301i \(0.0261723\pi\)
\(224\) −14.5164 + 15.8265i −0.969915 + 1.05745i
\(225\) −0.801085 5.57167i −0.0534056 0.371444i
\(226\) −5.27956 2.72180i −0.351191 0.181052i
\(227\) −26.4113 + 5.09035i −1.75298 + 0.337859i −0.961805 0.273735i \(-0.911741\pi\)
−0.791172 + 0.611594i \(0.790529\pi\)
\(228\) −2.77236 + 11.4278i −0.183604 + 0.756827i
\(229\) −0.960779 1.66412i −0.0634901 0.109968i 0.832533 0.553975i \(-0.186890\pi\)
−0.896023 + 0.444007i \(0.853556\pi\)
\(230\) −25.3594 19.9206i −1.67215 1.31352i
\(231\) 6.69348 + 5.57686i 0.440399 + 0.366930i
\(232\) 0.632135 0.185612i 0.0415017 0.0121860i
\(233\) 2.85763 8.25658i 0.187210 0.540906i −0.811868 0.583840i \(-0.801549\pi\)
0.999078 + 0.0429341i \(0.0136706\pi\)
\(234\) −0.627867 13.1805i −0.0410449 0.861639i
\(235\) −11.8399 4.73997i −0.772348 0.309202i
\(236\) −0.0592390 + 1.24358i −0.00385613 + 0.0809501i
\(237\) −6.88898 + 15.0848i −0.447487 + 0.979860i
\(238\) −13.2231 + 34.9765i −0.857124 + 2.26719i
\(239\) 1.15849 8.05746i 0.0749363 0.521194i −0.917433 0.397891i \(-0.869742\pi\)
0.992369 0.123303i \(-0.0393486\pi\)
\(240\) −6.48236 + 9.10320i −0.418435 + 0.587609i
\(241\) 8.77785 8.36966i 0.565431 0.539137i −0.352534 0.935799i \(-0.614680\pi\)
0.917965 + 0.396662i \(0.129831\pi\)
\(242\) 0.233704 0.222836i 0.0150230 0.0143244i
\(243\) −0.580057 + 0.814576i −0.0372107 + 0.0522551i
\(244\) 1.94155 13.5038i 0.124295 0.864490i
\(245\) −19.8647 + 11.2345i −1.26911 + 0.717744i
\(246\) −1.18586 + 2.59668i −0.0756078 + 0.165558i
\(247\) 1.58829 33.3422i 0.101060 2.12152i
\(248\) −1.54112 0.616970i −0.0978610 0.0391776i
\(249\) −0.0551309 1.15734i −0.00349378 0.0733435i
\(250\) −1.38325 + 3.99662i −0.0874841 + 0.252769i
\(251\) 12.0684 3.54361i 0.761752 0.223670i 0.122291 0.992494i \(-0.460976\pi\)
0.639461 + 0.768824i \(0.279158\pi\)
\(252\) 5.59641 2.05904i 0.352541 0.129708i
\(253\) 15.5054 2.99714i 0.974814 0.188429i
\(254\) 1.76596 + 3.05873i 0.110806 + 0.191922i
\(255\) −5.26693 + 21.7106i −0.329828 + 1.35957i
\(256\) 10.9992 2.11992i 0.687448 0.132495i
\(257\) 17.2371 + 8.88633i 1.07522 + 0.554314i 0.902515 0.430659i \(-0.141719\pi\)
0.172705 + 0.984974i \(0.444749\pi\)
\(258\) −0.951507 6.61788i −0.0592382 0.412011i
\(259\) 4.42211 + 14.0487i 0.274776 + 0.872944i
\(260\) −19.5294 + 42.7635i −1.21116 + 2.65208i
\(261\) 1.23551 + 0.238126i 0.0764764 + 0.0147396i
\(262\) −10.6264 8.35668i −0.656500 0.516277i
\(263\) 17.2337 + 1.64562i 1.06268 + 0.101473i 0.611722 0.791073i \(-0.290477\pi\)
0.450956 + 0.892546i \(0.351083\pi\)
\(264\) 0.406492 + 1.67558i 0.0250179 + 0.103125i
\(265\) −18.3528 5.38886i −1.12740 0.331035i
\(266\) 27.5329 7.24631i 1.68815 0.444300i
\(267\) −1.13735 + 7.91042i −0.0696045 + 0.484110i
\(268\) −19.4098 3.74093i −1.18564 0.228514i
\(269\) 3.10522 + 4.36067i 0.189329 + 0.265875i 0.898319 0.439343i \(-0.144789\pi\)
−0.708991 + 0.705218i \(0.750849\pi\)
\(270\) 5.97666 3.08118i 0.363728 0.187515i
\(271\) −17.2370 + 13.5553i −1.04707 + 0.823428i −0.984636 0.174621i \(-0.944130\pi\)
−0.0624381 + 0.998049i \(0.519888\pi\)
\(272\) 19.7601 12.6990i 1.19813 0.769991i
\(273\) −14.4928 + 8.74563i −0.877142 + 0.529310i
\(274\) 8.98436 2.63804i 0.542765 0.159370i
\(275\) −9.26791 16.0525i −0.558876 0.968001i
\(276\) 3.52979 10.2166i 0.212468 0.614967i
\(277\) 6.56027 11.3627i 0.394168 0.682720i −0.598826 0.800879i \(-0.704366\pi\)
0.992995 + 0.118159i \(0.0376993\pi\)
\(278\) −16.8582 16.0743i −1.01109 0.964069i
\(279\) −2.07618 2.39603i −0.124297 0.143447i
\(280\) −4.48205 0.556127i −0.267854 0.0332349i
\(281\) −1.96564 13.6713i −0.117260 0.815562i −0.960551 0.278104i \(-0.910294\pi\)
0.843291 0.537458i \(-0.180615\pi\)
\(282\) 0.383898 8.05901i 0.0228608 0.479907i
\(283\) −6.47497 9.09282i −0.384897 0.540512i 0.575989 0.817458i \(-0.304617\pi\)
−0.960886 + 0.276946i \(0.910678\pi\)
\(284\) −2.44173 7.05491i −0.144890 0.418632i
\(285\) 15.7913 6.32190i 0.935399 0.374477i
\(286\) −18.0506 39.5252i −1.06735 2.33718i
\(287\) 3.65372 0.244990i 0.215672 0.0144613i
\(288\) −7.78824 2.28683i −0.458926 0.134753i
\(289\) 17.3760 24.4012i 1.02212 1.43536i
\(290\) −6.65054 5.23004i −0.390533 0.307119i
\(291\) −5.68147 16.4155i −0.333054 0.962295i
\(292\) −21.5095 + 2.05390i −1.25875 + 0.120196i
\(293\) −12.2657 7.88266i −0.716568 0.460510i 0.130874 0.991399i \(-0.458222\pi\)
−0.847441 + 0.530889i \(0.821858\pi\)
\(294\) −10.8265 9.55120i −0.631417 0.557037i
\(295\) 1.51499 0.973625i 0.0882061 0.0566866i
\(296\) −0.953323 + 2.75445i −0.0554108 + 0.160099i
\(297\) −0.776339 + 3.20011i −0.0450478 + 0.185689i
\(298\) 2.22416 3.85236i 0.128842 0.223161i
\(299\) −4.35016 + 30.3730i −0.251576 + 1.75652i
\(300\) −12.6869 −0.732481
\(301\) −6.88877 + 5.10922i −0.397062 + 0.294490i
\(302\) 28.0276 + 32.3456i 1.61281 + 1.86128i
\(303\) 9.42891 + 4.86094i 0.541677 + 0.279254i
\(304\) −16.6032 6.64691i −0.952257 0.381226i
\(305\) −17.5403 + 9.04264i −1.00435 + 0.517780i
\(306\) −14.0691 + 1.34343i −0.804275 + 0.0767989i
\(307\) 11.4914 13.2618i 0.655850 0.756891i −0.326243 0.945286i \(-0.605783\pi\)
0.982093 + 0.188394i \(0.0603283\pi\)
\(308\) 14.5886 13.1438i 0.831260 0.748940i
\(309\) −2.87132 6.28732i −0.163344 0.357673i
\(310\) 5.02598 + 20.7174i 0.285456 + 1.17667i
\(311\) 10.4959 10.0078i 0.595170 0.567493i −0.331460 0.943469i \(-0.607541\pi\)
0.926629 + 0.375976i \(0.122693\pi\)
\(312\) −3.33475 0.318430i −0.188793 0.0180275i
\(313\) 30.1442 12.0679i 1.70385 0.682118i 0.704237 0.709965i \(-0.251289\pi\)
0.999612 + 0.0278473i \(0.00886521\pi\)
\(314\) 30.0792 34.7133i 1.69747 1.95898i
\(315\) −7.12179 4.86650i −0.401268 0.274196i
\(316\) 31.4433 + 20.2074i 1.76882 + 1.13675i
\(317\) 6.49044 5.10414i 0.364539 0.286677i −0.419041 0.907967i \(-0.637634\pi\)
0.783580 + 0.621290i \(0.213391\pi\)
\(318\) −0.575769 12.0869i −0.0322875 0.677799i
\(319\) 4.06847 0.784133i 0.227790 0.0439030i
\(320\) 23.3255 + 22.2408i 1.30394 + 1.24330i
\(321\) 4.43718 0.247659
\(322\) −25.8245 + 4.23896i −1.43914 + 0.236228i
\(323\) −35.7518 −1.98928
\(324\) 1.63120 + 1.55535i 0.0906223 + 0.0864082i
\(325\) 35.3624 6.81554i 1.96155 0.378058i
\(326\) −0.244883 5.14072i −0.0135628 0.284718i
\(327\) −11.9781 + 9.41968i −0.662390 + 0.520910i
\(328\) 0.609659 + 0.391804i 0.0336628 + 0.0216338i
\(329\) −9.32952 + 4.48082i −0.514353 + 0.247036i
\(330\) 14.5001 16.7340i 0.798202 0.921174i
\(331\) −21.2436 + 8.50467i −1.16766 + 0.467459i −0.872798 0.488082i \(-0.837697\pi\)
−0.294859 + 0.955541i \(0.595273\pi\)
\(332\) −2.59963 0.248234i −0.142673 0.0136236i
\(333\) −4.02885 + 3.84150i −0.220779 + 0.210513i
\(334\) −12.1645 50.1426i −0.665609 2.74368i
\(335\) 11.8779 + 26.0090i 0.648960 + 1.42102i
\(336\) 1.88835 + 8.87037i 0.103018 + 0.483919i
\(337\) 14.5999 16.8492i 0.795306 0.917832i −0.202808 0.979219i \(-0.565007\pi\)
0.998114 + 0.0613864i \(0.0195522\pi\)
\(338\) 57.3494 5.47620i 3.11939 0.297866i
\(339\) −2.55980 + 1.31967i −0.139029 + 0.0716745i
\(340\) 46.7453 + 18.7140i 2.53512 + 1.01491i
\(341\) −9.27940 4.78386i −0.502508 0.259061i
\(342\) 7.04684 + 8.13249i 0.381050 + 0.439755i
\(343\) −4.17789 + 18.0429i −0.225585 + 0.974224i
\(344\) −1.69735 −0.0915147
\(345\) −14.9997 + 4.41314i −0.807555 + 0.237596i
\(346\) 9.77048 16.9230i 0.525264 0.909784i
\(347\) −6.22243 + 25.6492i −0.334038 + 1.37692i 0.518867 + 0.854855i \(0.326354\pi\)
−0.852905 + 0.522067i \(0.825161\pi\)
\(348\) 0.927543 2.67996i 0.0497215 0.143661i
\(349\) −10.9268 + 7.02221i −0.584897 + 0.375890i −0.799370 0.600840i \(-0.794833\pi\)
0.214473 + 0.976730i \(0.431197\pi\)
\(350\) 14.6007 + 27.0243i 0.780441 + 1.44451i
\(351\) −5.38221 3.45893i −0.287281 0.184624i
\(352\) −26.6079 + 2.54074i −1.41820 + 0.135422i
\(353\) 0.470117 + 1.35831i 0.0250218 + 0.0722958i 0.956820 0.290681i \(-0.0938817\pi\)
−0.931798 + 0.362976i \(0.881761\pi\)
\(354\) 0.895532 + 0.704254i 0.0475970 + 0.0374307i
\(355\) −6.26393 + 8.79646i −0.332455 + 0.466867i
\(356\) 17.2828 + 5.07468i 0.915985 + 0.268957i
\(357\) 10.0950 + 15.0592i 0.534285 + 0.797019i
\(358\) 8.60154 + 18.8347i 0.454605 + 0.995447i
\(359\) −19.4962 + 7.80509i −1.02897 + 0.411937i −0.823855 0.566801i \(-0.808181\pi\)
−0.205114 + 0.978738i \(0.565757\pi\)
\(360\) −0.558321 1.61316i −0.0294261 0.0850211i
\(361\) 4.76876 + 6.69679i 0.250987 + 0.352462i
\(362\) 1.77531 37.2684i 0.0933084 1.95878i
\(363\) −0.0222815 0.154971i −0.00116948 0.00813389i
\(364\) 14.8622 + 35.1376i 0.778990 + 1.84171i
\(365\) 20.4676 + 23.6208i 1.07132 + 1.23637i
\(366\) −9.03526 8.61510i −0.472281 0.450319i
\(367\) −17.2209 + 29.8274i −0.898923 + 1.55698i −0.0700492 + 0.997544i \(0.522316\pi\)
−0.828873 + 0.559436i \(0.811018\pi\)
\(368\) 14.6158 + 7.52496i 0.761904 + 0.392266i
\(369\) 0.692038 + 1.19865i 0.0360261 + 0.0623990i
\(370\) 35.9154 10.5457i 1.86715 0.548246i
\(371\) −13.2902 + 8.01996i −0.689994 + 0.416376i
\(372\) −6.01133 + 3.86325i −0.311673 + 0.200300i
\(373\) −9.82009 + 7.72261i −0.508465 + 0.399861i −0.839167 0.543874i \(-0.816957\pi\)
0.330702 + 0.943735i \(0.392715\pi\)
\(374\) −41.3658 + 21.3255i −2.13897 + 1.10272i
\(375\) 1.18943 + 1.67032i 0.0614220 + 0.0862552i
\(376\) −2.01123 0.387633i −0.103721 0.0199906i
\(377\) −1.14565 + 7.96815i −0.0590039 + 0.410381i
\(378\) 1.43576 5.26457i 0.0738477 0.270780i
\(379\) 27.3557 + 8.03235i 1.40517 + 0.412594i 0.894455 0.447158i \(-0.147564\pi\)
0.510711 + 0.859752i \(0.329382\pi\)
\(380\) −9.03849 37.2571i −0.463665 1.91125i
\(381\) 1.70470 + 0.162779i 0.0873344 + 0.00833943i
\(382\) 19.7770 + 15.5528i 1.01188 + 0.795751i
\(383\) −2.85866 0.550962i −0.146071 0.0281528i 0.115692 0.993285i \(-0.463092\pi\)
−0.261762 + 0.965132i \(0.584304\pi\)
\(384\) −1.72607 + 3.77958i −0.0880834 + 0.192876i
\(385\) −27.7276 6.16107i −1.41313 0.313997i
\(386\) 2.49697 + 17.3668i 0.127093 + 0.883948i
\(387\) −2.88132 1.48542i −0.146466 0.0755083i
\(388\) −38.4442 + 7.40951i −1.95171 + 0.376161i
\(389\) 4.51452 18.6091i 0.228895 0.943519i −0.735176 0.677876i \(-0.762901\pi\)
0.964071 0.265643i \(-0.0855842\pi\)
\(390\) 21.5100 + 37.2564i 1.08920 + 1.88655i
\(391\) 32.7159 + 3.10608i 1.65452 + 0.157081i
\(392\) −2.79122 + 2.37546i −0.140978 + 0.119979i
\(393\) −6.28903 + 1.84662i −0.317239 + 0.0931499i
\(394\) −15.4246 + 44.5663i −0.777078 + 2.24522i
\(395\) −2.57253 54.0040i −0.129438 2.71724i
\(396\) 6.89020 + 2.75842i 0.346246 + 0.138616i
\(397\) 0.234954 4.93229i 0.0117920 0.247544i −0.985273 0.170987i \(-0.945304\pi\)
0.997065 0.0765570i \(-0.0243927\pi\)
\(398\) 8.27684 18.1237i 0.414880 0.908461i
\(399\) 4.88146 12.9120i 0.244378 0.646408i
\(400\) 2.74597 19.0986i 0.137298 0.954932i
\(401\) −2.23991 + 3.14551i −0.111856 + 0.157079i −0.866709 0.498815i \(-0.833769\pi\)
0.754853 + 0.655894i \(0.227708\pi\)
\(402\) −13.0913 + 12.4826i −0.652936 + 0.622573i
\(403\) 14.6800 13.9974i 0.731265 0.697260i
\(404\) 13.8688 19.4760i 0.689999 0.968969i
\(405\) 0.463976 3.22702i 0.0230552 0.160352i
\(406\) −6.77601 + 1.10847i −0.336288 + 0.0550126i
\(407\) −7.61496 + 16.6744i −0.377459 + 0.826521i
\(408\) −0.170721 + 3.58387i −0.00845194 + 0.177428i
\(409\) 3.81243 + 1.52627i 0.188513 + 0.0754691i 0.463998 0.885836i \(-0.346414\pi\)
−0.275486 + 0.961305i \(0.588839\pi\)
\(410\) −0.442832 9.29619i −0.0218699 0.459106i
\(411\) 1.48488 4.29028i 0.0732437 0.211624i
\(412\) −14.9476 + 4.38900i −0.736413 + 0.216230i
\(413\) 0.248762 1.44013i 0.0122408 0.0708642i
\(414\) −5.74192 8.05415i −0.282200 0.395840i
\(415\) 1.88872 + 3.27137i 0.0927139 + 0.160585i
\(416\) 12.2433 50.4676i 0.600278 2.47438i
\(417\) −11.0897 + 2.13736i −0.543065 + 0.104667i
\(418\) 31.4956 + 16.2371i 1.54050 + 0.794184i
\(419\) 4.61123 + 32.0718i 0.225274 + 1.56681i 0.717634 + 0.696420i \(0.245225\pi\)
−0.492361 + 0.870391i \(0.663866\pi\)
\(420\) −13.1412 + 14.3272i −0.641224 + 0.699097i
\(421\) 1.46591 3.20990i 0.0714441 0.156441i −0.870541 0.492097i \(-0.836231\pi\)
0.941985 + 0.335656i \(0.108958\pi\)
\(422\) 11.5465 + 2.22541i 0.562076 + 0.108331i
\(423\) −3.07492 2.41814i −0.149508 0.117574i
\(424\) −3.05804 0.292008i −0.148512 0.0141812i
\(425\) −9.09370 37.4847i −0.441109 1.81828i
\(426\) −6.55488 1.92469i −0.317585 0.0932513i
\(427\) −4.21367 + 15.4504i −0.203914 + 0.747698i
\(428\) 1.42326 9.89902i 0.0687960 0.478487i
\(429\) −20.6870 3.98709i −0.998776 0.192498i
\(430\) 12.6438 + 17.7557i 0.609738 + 0.856258i
\(431\) 0.764381 0.394066i 0.0368190 0.0189815i −0.439719 0.898136i \(-0.644922\pi\)
0.476538 + 0.879154i \(0.341892\pi\)
\(432\) −2.69444 + 2.11893i −0.129637 + 0.101947i
\(433\) −13.7484 + 8.83555i −0.660705 + 0.424609i −0.827564 0.561371i \(-0.810274\pi\)
0.166859 + 0.985981i \(0.446638\pi\)
\(434\) 15.1472 + 8.35865i 0.727087 + 0.401228i
\(435\) −3.93600 + 1.15571i −0.188717 + 0.0554122i
\(436\) 17.1725 + 29.7437i 0.822415 + 1.42447i
\(437\) −12.5226 21.6627i −0.599038 1.03627i
\(438\) −9.88630 + 17.1236i −0.472386 + 0.818196i
\(439\) −16.9009 16.1150i −0.806635 0.769125i 0.169675 0.985500i \(-0.445728\pi\)
−0.976310 + 0.216375i \(0.930577\pi\)
\(440\) −3.68110 4.24822i −0.175490 0.202526i
\(441\) −6.81709 + 1.58973i −0.324623 + 0.0757016i
\(442\) −12.8683 89.5007i −0.612081 4.25711i
\(443\) −0.684820 + 14.3761i −0.0325368 + 0.683031i 0.922403 + 0.386230i \(0.126223\pi\)
−0.954939 + 0.296801i \(0.904080\pi\)
\(444\) 7.27781 + 10.2203i 0.345390 + 0.485032i
\(445\) −8.52170 24.6218i −0.403967 1.16719i
\(446\) −19.4036 + 7.76804i −0.918788 + 0.367827i
\(447\) −0.895955 1.96187i −0.0423772 0.0927932i
\(448\) 26.0965 1.74982i 1.23294 0.0826714i
\(449\) −13.5944 3.99169i −0.641562 0.188379i −0.0552595 0.998472i \(-0.517599\pi\)
−0.586302 + 0.810093i \(0.699417\pi\)
\(450\) −6.73428 + 9.45697i −0.317457 + 0.445806i
\(451\) 3.58257 + 2.81737i 0.168697 + 0.132665i
\(452\) 2.12300 + 6.13402i 0.0998577 + 0.288520i
\(453\) 20.6573 1.97253i 0.970566 0.0926778i
\(454\) 46.6690 + 29.9923i 2.19028 + 1.40761i
\(455\) 28.9318 46.9940i 1.35634 2.20311i
\(456\) 2.29816 1.47694i 0.107621 0.0691640i
\(457\) −3.76408 + 10.8756i −0.176076 + 0.508739i −0.998160 0.0606270i \(-0.980690\pi\)
0.822084 + 0.569366i \(0.192811\pi\)
\(458\) −0.934359 + 3.85148i −0.0436597 + 0.179968i
\(459\) −3.42621 + 5.93437i −0.159922 + 0.276993i
\(460\) 5.03412 + 34.8787i 0.234717 + 1.62623i
\(461\) 16.4369 0.765543 0.382771 0.923843i \(-0.374970\pi\)
0.382771 + 0.923843i \(0.374970\pi\)
\(462\) −2.05389 17.8513i −0.0955554 0.830516i
\(463\) 17.6318 + 20.3482i 0.819421 + 0.945663i 0.999277 0.0380303i \(-0.0121083\pi\)
−0.179855 + 0.983693i \(0.557563\pi\)
\(464\) 3.83359 + 1.97636i 0.177970 + 0.0917500i
\(465\) 9.59579 + 3.84157i 0.444994 + 0.178149i
\(466\) −16.0170 + 8.25734i −0.741973 + 0.382514i
\(467\) 25.9840 2.48117i 1.20240 0.114815i 0.525435 0.850834i \(-0.323903\pi\)
0.676961 + 0.736019i \(0.263297\pi\)
\(468\) −9.44302 + 10.8978i −0.436504 + 0.503752i
\(469\) 22.0705 + 7.16352i 1.01912 + 0.330781i
\(470\) 10.9270 + 23.9268i 0.504025 + 1.10366i
\(471\) −5.25042 21.6425i −0.241927 0.997235i
\(472\) 0.209323 0.199589i 0.00963487 0.00918683i
\(473\) −10.6263 1.01469i −0.488598 0.0466555i
\(474\) 31.7530 12.7120i 1.45846 0.583881i
\(475\) −19.2323 + 22.1952i −0.882437 + 1.01839i
\(476\) 36.8341 17.6909i 1.68829 0.810859i
\(477\) −4.93561 3.17193i −0.225986 0.145233i
\(478\) −13.1973 + 10.3785i −0.603630 + 0.474700i
\(479\) 1.76832 + 37.1215i 0.0807964 + 1.69613i 0.568154 + 0.822922i \(0.307658\pi\)
−0.487357 + 0.873203i \(0.662039\pi\)
\(480\) 25.9850 5.00820i 1.18605 0.228592i
\(481\) −25.7759 24.5773i −1.17528 1.12063i
\(482\) −25.0150 −1.13940
\(483\) −5.58873 + 11.3915i −0.254296 + 0.518331i
\(484\) −0.352877 −0.0160399
\(485\) 40.9871 + 39.0811i 1.86113 + 1.77458i
\(486\) 2.02522 0.390329i 0.0918658 0.0177057i
\(487\) 0.292316 + 6.13646i 0.0132461 + 0.278070i 0.995767 + 0.0919161i \(0.0292992\pi\)
−0.982521 + 0.186154i \(0.940398\pi\)
\(488\) −2.49128 + 1.95916i −0.112775 + 0.0886870i
\(489\) −2.09919 1.34907i −0.0949286 0.0610069i
\(490\) 45.6417 + 11.5034i 2.06188 + 0.519671i
\(491\) 20.0688 23.1606i 0.905692 1.04522i −0.0930794 0.995659i \(-0.529671\pi\)
0.998771 0.0495651i \(-0.0157835\pi\)
\(492\) 2.89607 1.15941i 0.130565 0.0522703i
\(493\) 8.58303 + 0.819580i 0.386560 + 0.0369120i
\(494\) −49.8262 + 47.5092i −2.24179 + 2.13754i
\(495\) −2.53103 10.4330i −0.113761 0.468930i
\(496\) −4.51455 9.88549i −0.202709 0.443871i
\(497\) 1.82472 + 8.57147i 0.0818498 + 0.384483i
\(498\) −1.56493 + 1.80602i −0.0701261 + 0.0809298i
\(499\) −11.3642 + 1.08514i −0.508729 + 0.0485778i −0.346265 0.938137i \(-0.612550\pi\)
−0.162464 + 0.986714i \(0.551944\pi\)
\(500\) 4.10789 2.11777i 0.183711 0.0947093i
\(501\) −23.2248 9.29782i −1.03761 0.415396i
\(502\) −23.0580 11.8872i −1.02913 0.530553i
\(503\) −3.58249 4.13441i −0.159735 0.184344i 0.670240 0.742144i \(-0.266191\pi\)
−0.829975 + 0.557800i \(0.811646\pi\)
\(504\) −1.27103 0.550989i −0.0566161 0.0245430i
\(505\) −34.5848 −1.53900
\(506\) −27.4105 17.5947i −1.21855 0.782179i
\(507\) 13.9662 24.1901i 0.620260 1.07432i
\(508\) 0.909946 3.75085i 0.0403723 0.166417i
\(509\) −13.6911 + 39.5578i −0.606847 + 1.75337i 0.0493534 + 0.998781i \(0.484284\pi\)
−0.656200 + 0.754587i \(0.727837\pi\)
\(510\) 38.7622 24.9110i 1.71642 1.10308i
\(511\) 25.3541 + 0.716388i 1.12160 + 0.0316911i
\(512\) −26.4266 16.9833i −1.16790 0.750564i
\(513\) 5.19377 0.495945i 0.229310 0.0218965i
\(514\) −13.0819 37.7978i −0.577020 1.66719i
\(515\) 17.7132 + 13.9298i 0.780537 + 0.613821i
\(516\) −4.23808 + 5.95155i −0.186571 + 0.262002i
\(517\) −12.3597 3.62913i −0.543578 0.159609i
\(518\) 13.3944 27.2643i 0.588516 1.19793i
\(519\) −3.93583 8.61826i −0.172764 0.378300i
\(520\) 10.1391 4.05908i 0.444629 0.178003i
\(521\) 4.82480 + 13.9403i 0.211378 + 0.610737i 0.999991 0.00415250i \(-0.00132179\pi\)
−0.788613 + 0.614890i \(0.789201\pi\)
\(522\) −1.50532 2.11393i −0.0658863 0.0925243i
\(523\) −0.161717 + 3.39485i −0.00707138 + 0.148447i 0.992570 + 0.121674i \(0.0388261\pi\)
−0.999642 + 0.0267729i \(0.991477\pi\)
\(524\) 2.10242 + 14.6227i 0.0918448 + 0.638795i
\(525\) 14.7795 + 1.83382i 0.645030 + 0.0800344i
\(526\) −23.3825 26.9849i −1.01953 1.17660i
\(527\) −15.7231 14.9919i −0.684909 0.653059i
\(528\) −5.64379 + 9.77533i −0.245614 + 0.425417i
\(529\) 9.57724 + 20.9112i 0.416402 + 0.909181i
\(530\) 19.7252 + 34.1651i 0.856809 + 1.48404i
\(531\) 0.530004 0.155623i 0.0230002 0.00675347i
\(532\) −27.2400 15.0318i −1.18100 0.651712i
\(533\) −7.44938 + 4.78743i −0.322669 + 0.207366i
\(534\) 12.9565 10.1891i 0.560681 0.440925i
\(535\) −12.8580 + 6.62876i −0.555900 + 0.286586i
\(536\) 2.66369 + 3.74063i 0.115054 + 0.161571i
\(537\) 9.85784 + 1.89994i 0.425397 + 0.0819886i
\(538\) 1.57132 10.9288i 0.0677443 0.471172i
\(539\) −18.8946 + 13.2031i −0.813849 + 0.568697i
\(540\) −7.05043 2.07019i −0.303402 0.0890869i
\(541\) 0.638199 + 2.63069i 0.0274383 + 0.113102i 0.983884 0.178808i \(-0.0572242\pi\)
−0.956446 + 0.291911i \(0.905709\pi\)
\(542\) 45.0227 + 4.29914i 1.93389 + 0.184664i
\(543\) −14.2198 11.1826i −0.610229 0.479890i
\(544\) −54.6162 10.5264i −2.34165 0.451316i
\(545\) 20.6378 45.1905i 0.884027 1.93575i
\(546\) 34.0808 + 7.57274i 1.45852 + 0.324083i
\(547\) 0.698412 + 4.85756i 0.0298619 + 0.207694i 0.999290 0.0376823i \(-0.0119975\pi\)
−0.969428 + 0.245377i \(0.921088\pi\)
\(548\) −9.09501 4.68880i −0.388519 0.200296i
\(549\) −5.94360 + 1.14553i −0.253667 + 0.0488902i
\(550\) −9.01305 + 37.1523i −0.384318 + 1.58418i
\(551\) −3.28240 5.68528i −0.139835 0.242201i
\(552\) −2.23133 + 1.15186i −0.0949718 + 0.0490266i
\(553\) −33.7086 28.0853i −1.43344 1.19431i
\(554\) −25.9648 + 7.62396i −1.10314 + 0.323911i
\(555\) 5.93588 17.1506i 0.251964 0.728002i
\(556\) 1.21118 + 25.4259i 0.0513657 + 1.07830i
\(557\) 1.85658 + 0.743263i 0.0786658 + 0.0314930i 0.410662 0.911788i \(-0.365298\pi\)
−0.331996 + 0.943281i \(0.607722\pi\)
\(558\) −0.311135 + 6.53153i −0.0131714 + 0.276502i
\(559\) 8.61560 18.8655i 0.364401 0.797927i
\(560\) −18.7236 22.8834i −0.791217 0.967002i
\(561\) −3.21128 + 22.3349i −0.135580 + 0.942981i
\(562\) −16.5240 + 23.2047i −0.697024 + 0.978833i
\(563\) −14.4919 + 13.8180i −0.610762 + 0.582360i −0.931019 0.364970i \(-0.881079\pi\)
0.320257 + 0.947331i \(0.396231\pi\)
\(564\) −6.38101 + 6.08428i −0.268689 + 0.256194i
\(565\) 5.44629 7.64824i 0.229127 0.321764i
\(566\) −3.27649 + 22.7885i −0.137721 + 0.957873i
\(567\) −1.67543 2.04766i −0.0703616 0.0859938i
\(568\) −0.720466 + 1.57760i −0.0302301 + 0.0661946i
\(569\) −0.400857 + 8.41502i −0.0168048 + 0.352776i 0.974768 + 0.223222i \(0.0716575\pi\)
−0.991572 + 0.129554i \(0.958646\pi\)
\(570\) −32.5695 13.0389i −1.36419 0.546138i
\(571\) 1.12157 + 23.5447i 0.0469363 + 0.985314i 0.892390 + 0.451265i \(0.149027\pi\)
−0.845454 + 0.534049i \(0.820670\pi\)
\(572\) −15.5304 + 44.8722i −0.649360 + 1.87620i
\(573\) 11.7047 3.43680i 0.488969 0.143574i
\(574\) −5.80257 4.83457i −0.242195 0.201791i
\(575\) 19.5275 18.6397i 0.814352 0.777328i
\(576\) 4.94284 + 8.56126i 0.205952 + 0.356719i
\(577\) 6.51041 26.8363i 0.271032 1.11721i −0.659706 0.751523i \(-0.729319\pi\)
0.930738 0.365686i \(-0.119166\pi\)
\(578\) −60.6668 + 11.6926i −2.52341 + 0.486347i
\(579\) 7.56124 + 3.89809i 0.314234 + 0.161999i
\(580\) 1.31581 + 9.15163i 0.0546358 + 0.380001i
\(581\) 2.99252 + 0.664937i 0.124151 + 0.0275862i
\(582\) −14.8832 + 32.5897i −0.616929 + 1.35089i
\(583\) −18.9705 3.65626i −0.785676 0.151427i
\(584\) 3.94570 + 3.10293i 0.163274 + 0.128400i
\(585\) 20.7638 + 1.98271i 0.858479 + 0.0819748i
\(586\) 7.08964 + 29.2239i 0.292870 + 1.20723i
\(587\) −15.2070 4.46519i −0.627662 0.184298i −0.0475946 0.998867i \(-0.515156\pi\)
−0.580067 + 0.814569i \(0.696974\pi\)
\(588\) 1.35993 + 15.7184i 0.0560828 + 0.648214i
\(589\) −2.35407 + 16.3729i −0.0969976 + 0.674633i
\(590\) −3.64716 0.702932i −0.150151 0.0289393i
\(591\) 13.2634 + 18.6258i 0.545581 + 0.766162i
\(592\) −16.9606 + 8.74378i −0.697075 + 0.359367i
\(593\) 27.7049 21.7874i 1.13771 0.894702i 0.142241 0.989832i \(-0.454569\pi\)
0.995465 + 0.0951304i \(0.0303268\pi\)
\(594\) 5.71350 3.67184i 0.234428 0.150658i
\(595\) −51.7504 28.5574i −2.12156 1.17074i
\(596\) −4.66417 + 1.36952i −0.191052 + 0.0560979i
\(597\) −4.83015 8.36606i −0.197685 0.342400i
\(598\) 49.7228 39.1461i 2.03332 1.60080i
\(599\) 7.58648 13.1402i 0.309975 0.536893i −0.668381 0.743819i \(-0.733013\pi\)
0.978357 + 0.206926i \(0.0663459\pi\)
\(600\) 2.13308 + 2.03389i 0.0870827 + 0.0830332i
\(601\) 11.2253 + 12.9546i 0.457888 + 0.528430i 0.937003 0.349321i \(-0.113588\pi\)
−0.479115 + 0.877752i \(0.659042\pi\)
\(602\) 17.5547 + 2.17816i 0.715476 + 0.0887752i
\(603\) 1.24814 + 8.68100i 0.0508281 + 0.353517i
\(604\) 2.22544 46.7177i 0.0905518 1.90092i
\(605\) 0.296081 + 0.415788i 0.0120374 + 0.0169042i
\(606\) −7.15600 20.6759i −0.290693 0.839901i
\(607\) −1.63764 + 0.655611i −0.0664697 + 0.0266104i −0.404659 0.914468i \(-0.632610\pi\)
0.338189 + 0.941078i \(0.390186\pi\)
\(608\) 17.5927 + 38.5227i 0.713480 + 1.56230i
\(609\) −1.46790 + 2.98792i −0.0594824 + 0.121076i
\(610\) 39.0525 + 11.4668i 1.58119 + 0.464279i
\(611\) 14.5173 20.3867i 0.587307 0.824757i
\(612\) 12.1402 + 9.54713i 0.490737 + 0.385920i
\(613\) 0.960465 + 2.77508i 0.0387928 + 0.112084i 0.962734 0.270450i \(-0.0871725\pi\)
−0.923941 + 0.382535i \(0.875051\pi\)
\(614\) −36.0285 + 3.44030i −1.45399 + 0.138839i
\(615\) −3.79605 2.43958i −0.153072 0.0983732i
\(616\) −4.55994 0.128843i −0.183725 0.00519123i
\(617\) 41.4552 26.6416i 1.66892 1.07255i 0.765897 0.642963i \(-0.222295\pi\)
0.903025 0.429588i \(-0.141341\pi\)
\(618\) −4.66262 + 13.4717i −0.187558 + 0.541913i
\(619\) 3.36981 13.8905i 0.135444 0.558308i −0.863133 0.504977i \(-0.831501\pi\)
0.998577 0.0533311i \(-0.0169839\pi\)
\(620\) 11.6482 20.1753i 0.467803 0.810259i
\(621\) −4.79583 + 0.00260212i −0.192450 + 0.000104420i
\(622\) −29.9112 −1.19933
\(623\) −19.3998 8.40980i −0.777238 0.336932i
\(624\) −14.3615 16.5740i −0.574920 0.663493i
\(625\) 19.0741 + 9.83336i 0.762962 + 0.393334i
\(626\) −62.1721 24.8899i −2.48490 0.994802i
\(627\) 15.2707 7.87258i 0.609852 0.314401i
\(628\) −49.9670 + 4.77127i −1.99390 + 0.190394i
\(629\) −24.9801 + 28.8286i −0.996023 + 1.14947i
\(630\) 3.70427 + 17.4005i 0.147582 + 0.693253i
\(631\) 2.64847 + 5.79935i 0.105434 + 0.230868i 0.954995 0.296622i \(-0.0958603\pi\)
−0.849561 + 0.527491i \(0.823133\pi\)
\(632\) −2.04711 8.43830i −0.0814297 0.335658i
\(633\) 4.12628 3.93440i 0.164005 0.156378i
\(634\) −16.9529 1.61880i −0.673285 0.0642909i
\(635\) −5.18304 + 2.07498i −0.205683 + 0.0823429i
\(636\) −8.65948 + 9.99357i −0.343371 + 0.396271i
\(637\) −12.2346 43.0813i −0.484753 1.70694i
\(638\) −7.18902 4.62010i −0.284616 0.182912i
\(639\) −2.60365 + 2.04753i −0.102999 + 0.0809992i
\(640\) −0.644562 13.5310i −0.0254786 0.534861i
\(641\) 31.1132 5.99658i 1.22890 0.236851i 0.466830 0.884347i \(-0.345396\pi\)
0.762068 + 0.647496i \(0.224184\pi\)
\(642\) −6.62335 6.31535i −0.261403 0.249247i
\(643\) −39.9824 −1.57675 −0.788376 0.615194i \(-0.789078\pi\)
−0.788376 + 0.615194i \(0.789078\pi\)
\(644\) 23.6209 + 16.1220i 0.930796 + 0.635295i
\(645\) 10.5685 0.416136
\(646\) 53.3665 + 50.8849i 2.09968 + 2.00204i
\(647\) 13.7471 2.64953i 0.540453 0.104164i 0.0882828 0.996095i \(-0.471862\pi\)
0.452170 + 0.891932i \(0.350650\pi\)
\(648\) −0.0249139 0.523008i −0.000978712 0.0205457i
\(649\) 1.42979 1.12440i 0.0561242 0.0441366i
\(650\) −62.4857 40.1571i −2.45089 1.57509i
\(651\) 7.56123 3.63154i 0.296348 0.142331i
\(652\) −3.68300 + 4.25041i −0.144237 + 0.166459i
\(653\) −32.7773 + 13.1220i −1.28267 + 0.513505i −0.910058 0.414481i \(-0.863963\pi\)
−0.372616 + 0.927986i \(0.621539\pi\)
\(654\) 31.2865 + 2.98750i 1.22340 + 0.116820i
\(655\) 15.4656 14.7464i 0.604290 0.576189i
\(656\) 1.11852 + 4.61062i 0.0436710 + 0.180014i
\(657\) 3.98248 + 8.72042i 0.155372 + 0.340216i
\(658\) 20.3036 + 6.59003i 0.791517 + 0.256906i
\(659\) −16.9674 + 19.5814i −0.660956 + 0.762784i −0.982933 0.183964i \(-0.941107\pi\)
0.321977 + 0.946747i \(0.395653\pi\)
\(660\) −24.0872 + 2.30005i −0.937593 + 0.0895293i
\(661\) 13.1758 6.79259i 0.512479 0.264201i −0.182533 0.983200i \(-0.558430\pi\)
0.695011 + 0.718999i \(0.255399\pi\)
\(662\) 43.8148 + 17.5408i 1.70291 + 0.681743i
\(663\) −38.9672 20.0890i −1.51336 0.780191i
\(664\) 0.397285 + 0.458492i 0.0154177 + 0.0177929i
\(665\) 5.14399 + 44.7087i 0.199475 + 1.73373i
\(666\) 11.4814 0.444894
\(667\) 2.50974 + 5.48769i 0.0971776 + 0.212484i
\(668\) −28.1923 + 48.8305i −1.09079 + 1.88931i
\(669\) −2.38912 + 9.84811i −0.0923689 + 0.380750i
\(670\) 19.2880 55.7291i 0.745162 2.15300i
\(671\) −16.7679 + 10.7761i −0.647319 + 0.416007i
\(672\) 11.2588 18.2878i 0.434319 0.705466i
\(673\) −34.2887 22.0360i −1.32173 0.849426i −0.326334 0.945254i \(-0.605814\pi\)
−0.995398 + 0.0958286i \(0.969450\pi\)
\(674\) −45.7743 + 4.37091i −1.76316 + 0.168361i
\(675\) 1.84105 + 5.31937i 0.0708622 + 0.204743i
\(676\) −49.4866 38.9167i −1.90333 1.49680i
\(677\) −14.3319 + 20.1263i −0.550818 + 0.773516i −0.992314 0.123748i \(-0.960509\pi\)
0.441496 + 0.897263i \(0.354448\pi\)
\(678\) 5.69926 + 1.67345i 0.218879 + 0.0642686i
\(679\) 45.8561 3.07475i 1.75980 0.117998i
\(680\) −4.85928 10.6403i −0.186345 0.408039i
\(681\) 24.9706 9.99673i 0.956876 0.383075i
\(682\) 7.04253 + 20.3480i 0.269672 + 0.779167i
\(683\) −25.2809 35.5021i −0.967348 1.35845i −0.933326 0.359030i \(-0.883108\pi\)
−0.0340221 0.999421i \(-0.510832\pi\)
\(684\) 0.559531 11.7460i 0.0213942 0.449119i
\(685\) 2.10644 + 14.6506i 0.0804829 + 0.559771i
\(686\) 31.9164 20.9862i 1.21857 0.801257i
\(687\) 1.25835 + 1.45222i 0.0480092 + 0.0554055i
\(688\) −8.04204 7.66807i −0.306600 0.292342i
\(689\) 18.7680 32.5071i 0.715003 1.23842i
\(690\) 28.6711 + 14.7613i 1.09149 + 0.561953i
\(691\) 5.62975 + 9.75101i 0.214166 + 0.370946i 0.953014 0.302926i \(-0.0979634\pi\)
−0.738848 + 0.673872i \(0.764630\pi\)
\(692\) −20.4892 + 6.01616i −0.778881 + 0.228700i
\(693\) −7.62795 4.20933i −0.289762 0.159899i
\(694\) 45.7942 29.4302i 1.73833 1.11715i
\(695\) 28.9426 22.7607i 1.09785 0.863362i
\(696\) −0.585584 + 0.301890i −0.0221965 + 0.0114431i
\(697\) 5.50142 + 7.72566i 0.208381 + 0.292630i
\(698\) 26.3049 + 5.06986i 0.995656 + 0.191897i
\(699\) −1.24342 + 8.64818i −0.0470305 + 0.327104i
\(700\) 8.83177 32.3838i 0.333810 1.22399i
\(701\) 15.8444 + 4.65233i 0.598434 + 0.175716i 0.566900 0.823787i \(-0.308143\pi\)
0.0315338 + 0.999503i \(0.489961\pi\)
\(702\) 3.11095 + 12.8235i 0.117415 + 0.483993i
\(703\) 28.9124 + 2.76080i 1.09045 + 0.104126i
\(704\) 25.5883 + 20.1229i 0.964397 + 0.758410i
\(705\) 12.5230 + 2.41360i 0.471642 + 0.0909015i
\(706\) 1.23152 2.69666i 0.0463490 0.101490i
\(707\) −18.9715 + 20.6837i −0.713495 + 0.777891i
\(708\) −0.177181 1.23232i −0.00665885 0.0463133i
\(709\) −1.53549 0.791601i −0.0576666 0.0297292i 0.429152 0.903232i \(-0.358812\pi\)
−0.486819 + 0.873503i \(0.661843\pi\)
\(710\) 21.8700 4.21509i 0.820765 0.158190i
\(711\) 3.90968 16.1159i 0.146624 0.604394i
\(712\) −2.09225 3.62388i −0.0784103 0.135811i
\(713\) 3.57664 14.7781i 0.133946 0.553444i
\(714\) 6.36476 36.8469i 0.238195 1.37896i
\(715\) 65.9028 19.3508i 2.46463 0.723679i
\(716\) 7.40062 21.3827i 0.276574 0.799109i
\(717\) 0.387332 + 8.13109i 0.0144652 + 0.303661i
\(718\) 40.2107 + 16.0979i 1.50065 + 0.600769i
\(719\) −1.62905 + 34.1980i −0.0607534 + 1.27537i 0.738450 + 0.674309i \(0.235558\pi\)
−0.799203 + 0.601061i \(0.794745\pi\)
\(720\) 4.64243 10.1655i 0.173013 0.378846i
\(721\) 18.0474 2.95233i 0.672119 0.109951i
\(722\) 2.41311 16.7835i 0.0898066 0.624619i
\(723\) −7.03525 + 9.87963i −0.261644 + 0.367427i
\(724\) −29.5086 + 28.1364i −1.09668 + 1.04568i
\(725\) 5.12595 4.88759i 0.190373 0.181520i
\(726\) −0.187308 + 0.263038i −0.00695167 + 0.00976225i
\(727\) 6.09356 42.3817i 0.225998 1.57185i −0.488723 0.872439i \(-0.662537\pi\)
0.714721 0.699410i \(-0.246554\pi\)
\(728\) 3.13422 8.29037i 0.116162 0.307261i
\(729\) 0.415415 0.909632i 0.0153857 0.0336901i
\(730\) 3.06726 64.3898i 0.113525 2.38317i
\(731\) −20.6222 8.25587i −0.762738 0.305354i
\(732\) 0.649142 + 13.6272i 0.0239930 + 0.503675i
\(733\) −14.2382 + 41.1387i −0.525902 + 1.51949i 0.299021 + 0.954247i \(0.403340\pi\)
−0.824922 + 0.565246i \(0.808781\pi\)
\(734\) 68.1584 20.0131i 2.51577 0.738697i
\(735\) 17.3796 14.7909i 0.641055 0.545569i
\(736\) −12.7520 36.7800i −0.470046 1.35573i
\(737\) 14.4400 + 25.0108i 0.531903 + 0.921283i
\(738\) 0.673008 2.77418i 0.0247738 0.102119i
\(739\) −5.67510 + 1.09379i −0.208762 + 0.0402356i −0.292560 0.956247i \(-0.594507\pi\)
0.0837979 + 0.996483i \(0.473295\pi\)
\(740\) −36.3578 18.7437i −1.33654 0.689033i
\(741\) 4.75048 + 33.0403i 0.174513 + 1.21377i
\(742\) 31.2529 + 6.94438i 1.14733 + 0.254936i
\(743\) 7.18958 15.7430i 0.263760 0.577554i −0.730696 0.682703i \(-0.760804\pi\)
0.994457 + 0.105148i \(0.0335317\pi\)
\(744\) 1.63003 + 0.314162i 0.0597598 + 0.0115178i
\(745\) 5.52715 + 4.34660i 0.202499 + 0.159247i
\(746\) 25.6498 + 2.44926i 0.939108 + 0.0896739i
\(747\) 0.273163 + 1.12599i 0.00999450 + 0.0411979i
\(748\) 48.7975 + 14.3282i 1.78421 + 0.523893i
\(749\) −3.08886 + 11.3260i −0.112864 + 0.413844i
\(750\) 0.601882 4.18618i 0.0219776 0.152858i
\(751\) 16.3523 + 3.15164i 0.596703 + 0.115005i 0.478655 0.878003i \(-0.341124\pi\)
0.118047 + 0.993008i \(0.462336\pi\)
\(752\) −7.77803 10.9227i −0.283636 0.398310i
\(753\) −11.1797 + 5.76353i −0.407411 + 0.210035i
\(754\) 13.0510 10.2634i 0.475291 0.373773i
\(755\) −56.9138 + 36.5763i −2.07130 + 1.33115i
\(756\) −5.10560 + 3.08096i −0.185689 + 0.112054i
\(757\) −11.6631 + 3.42459i −0.423902 + 0.124469i −0.486724 0.873556i \(-0.661808\pi\)
0.0628220 + 0.998025i \(0.479990\pi\)
\(758\) −29.4014 50.9247i −1.06791 1.84967i
\(759\) −14.6579 + 5.87739i −0.532050 + 0.213336i
\(760\) −4.45317 + 7.71312i −0.161533 + 0.279784i
\(761\) −17.7043 16.8810i −0.641779 0.611935i 0.297651 0.954675i \(-0.403797\pi\)
−0.939431 + 0.342739i \(0.888645\pi\)
\(762\) −2.31292 2.66925i −0.0837881 0.0966967i
\(763\) −15.7057 37.1318i −0.568584 1.34426i
\(764\) −3.91287 27.2146i −0.141563 0.984590i
\(765\) 1.06300 22.3150i 0.0384327 0.806801i
\(766\) 3.48293 + 4.89110i 0.125844 + 0.176722i
\(767\) 1.15587 + 3.33966i 0.0417360 + 0.120588i
\(768\) −10.3992 + 4.16321i −0.375249 + 0.150227i
\(769\) −15.9874 35.0074i −0.576519 1.26240i −0.943253 0.332074i \(-0.892252\pi\)
0.366735 0.930326i \(-0.380476\pi\)
\(770\) 32.6200 + 48.6608i 1.17554 + 1.75362i
\(771\) −18.6073 5.46361i −0.670127 0.196767i
\(772\) 11.1217 15.6182i 0.400278 0.562112i
\(773\) −8.09830 6.36858i −0.291276 0.229062i