Properties

Label 483.2.bf.a.10.20
Level $483$
Weight $2$
Character 483.10
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
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.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 10.20
Character \(\chi\) \(=\) 483.10
Dual form 483.2.bf.a.145.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.114790 - 0.331663i) q^{2} +(0.458227 + 0.888835i) q^{3} +(1.47528 + 1.16017i) q^{4} +(0.530378 - 0.0506450i) q^{5} +(0.347394 - 0.0499477i) q^{6} +(0.390363 - 2.61680i) q^{7} +(1.14464 - 0.735614i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(0.114790 - 0.331663i) q^{2} +(0.458227 + 0.888835i) q^{3} +(1.47528 + 1.16017i) q^{4} +(0.530378 - 0.0506450i) q^{5} +(0.347394 - 0.0499477i) q^{6} +(0.390363 - 2.61680i) q^{7} +(1.14464 - 0.735614i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(0.0440849 - 0.181721i) q^{10} +(3.27701 - 1.13418i) q^{11} +(-0.355191 + 1.84291i) q^{12} +(-1.53444 - 5.22581i) q^{13} +(-0.823085 - 0.429850i) q^{14} +(0.288049 + 0.448212i) q^{15} +(0.772372 + 3.18376i) q^{16} +(4.87255 + 1.95068i) q^{17} +(0.203580 + 0.285888i) q^{18} +(-0.705211 + 0.282324i) q^{19} +(0.841215 + 0.540616i) q^{20} +(2.50478 - 0.852116i) q^{21} -1.21706i q^{22} +(-3.61209 + 3.15480i) q^{23} +(1.17834 + 0.680317i) q^{24} +(-4.63091 + 0.892534i) q^{25} +(-1.90935 - 0.0909534i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(3.61184 - 3.40762i) q^{28} +(1.32102 + 9.18791i) q^{29} +(0.181721 - 0.0440849i) q^{30} +(-5.85279 + 0.278803i) q^{31} +(3.85354 + 0.367969i) q^{32} +(2.50971 + 2.39301i) q^{33} +(1.20629 - 1.39213i) q^{34} +(0.0745126 - 1.40766i) q^{35} +(-1.80080 + 0.528762i) q^{36} +(1.19470 + 0.850745i) q^{37} +(0.0126855 + 0.266300i) q^{38} +(3.94177 - 3.75847i) q^{39} +(0.569836 - 0.448124i) q^{40} +(-0.252330 - 0.115235i) q^{41} +(0.00490688 - 0.928556i) q^{42} +(-1.75952 + 2.73787i) q^{43} +(6.15036 + 2.12866i) q^{44} +(-0.266395 + 0.461411i) q^{45} +(0.631700 + 1.56014i) q^{46} +(3.80333 - 2.19586i) q^{47} +(-2.47592 + 2.14540i) q^{48} +(-6.69523 - 2.04300i) q^{49} +(-0.235560 + 1.63836i) q^{50} +(0.498903 + 5.22475i) q^{51} +(3.79913 - 9.48976i) q^{52} +(-7.74517 - 8.12290i) q^{53} +(-0.160822 + 0.311951i) q^{54} +(1.68061 - 0.767511i) q^{55} +(-1.47813 - 3.28244i) q^{56} +(-0.574086 - 0.497448i) q^{57} +(3.19893 + 0.616543i) q^{58} +(1.78232 + 0.432385i) q^{59} +(-0.0950517 + 0.995426i) q^{60} +(-6.19347 - 3.19296i) q^{61} +(-0.579372 + 1.97316i) q^{62} +(1.90515 + 1.83587i) q^{63} +(-2.15750 + 4.72427i) q^{64} +(-1.07849 - 2.69395i) q^{65} +(1.08176 - 0.557687i) q^{66} +(0.663668 + 3.44344i) q^{67} +(4.92527 + 8.53081i) q^{68} +(-4.45926 - 1.76494i) q^{69} +(-0.458316 - 0.186298i) q^{70} +(-4.66663 - 5.38558i) q^{71} +(-0.0647415 + 1.35909i) q^{72} +(9.94741 - 12.6492i) q^{73} +(0.419301 - 0.298583i) q^{74} +(-2.91532 - 3.70713i) q^{75} +(-1.36793 - 0.401661i) q^{76} +(-1.68870 - 9.01800i) q^{77} +(-0.794071 - 1.73877i) q^{78} +(8.92525 - 9.36053i) q^{79} +(0.570891 + 1.64948i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-0.0671843 + 0.0704608i) q^{82} +(-1.76265 - 3.85967i) q^{83} +(4.68385 + 1.64886i) q^{84} +(2.68309 + 0.787826i) q^{85} +(0.706076 + 0.897848i) q^{86} +(-7.56121 + 5.38431i) q^{87} +(2.91667 - 3.70884i) q^{88} +(-0.703445 + 14.7671i) q^{89} +(0.122453 + 0.141319i) q^{90} +(-14.2739 + 1.97534i) q^{91} +(-8.98898 + 0.463561i) q^{92} +(-2.92971 - 5.07441i) q^{93} +(-0.291701 - 1.51349i) q^{94} +(-0.359730 + 0.185454i) q^{95} +(1.43873 + 3.59378i) q^{96} +(-1.63139 + 3.57223i) q^{97} +(-1.44613 + 1.98605i) q^{98} +(-0.976973 + 3.32726i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.114790 0.331663i 0.0811686 0.234521i −0.897113 0.441801i \(-0.854340\pi\)
0.978282 + 0.207280i \(0.0664610\pi\)
\(3\) 0.458227 + 0.888835i 0.264557 + 0.513169i
\(4\) 1.47528 + 1.16017i 0.737641 + 0.580087i
\(5\) 0.530378 0.0506450i 0.237192 0.0226491i 0.0242172 0.999707i \(-0.492291\pi\)
0.212975 + 0.977058i \(0.431685\pi\)
\(6\) 0.347394 0.0499477i 0.141823 0.0203911i
\(7\) 0.390363 2.61680i 0.147543 0.989056i
\(8\) 1.14464 0.735614i 0.404690 0.260079i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) 0.0440849 0.181721i 0.0139409 0.0574651i
\(11\) 3.27701 1.13418i 0.988055 0.341969i 0.215213 0.976567i \(-0.430956\pi\)
0.772842 + 0.634598i \(0.218834\pi\)
\(12\) −0.355191 + 1.84291i −0.102535 + 0.532001i
\(13\) −1.53444 5.22581i −0.425576 1.44938i −0.841638 0.540043i \(-0.818408\pi\)
0.416061 0.909337i \(-0.363410\pi\)
\(14\) −0.823085 0.429850i −0.219979 0.114882i
\(15\) 0.288049 + 0.448212i 0.0743738 + 0.115728i
\(16\) 0.772372 + 3.18376i 0.193093 + 0.795940i
\(17\) 4.87255 + 1.95068i 1.18177 + 0.473108i 0.877546 0.479493i \(-0.159179\pi\)
0.304222 + 0.952601i \(0.401604\pi\)
\(18\) 0.203580 + 0.285888i 0.0479843 + 0.0673846i
\(19\) −0.705211 + 0.282324i −0.161787 + 0.0647695i −0.451142 0.892452i \(-0.648983\pi\)
0.289356 + 0.957222i \(0.406559\pi\)
\(20\) 0.841215 + 0.540616i 0.188101 + 0.120885i
\(21\) 2.50478 0.852116i 0.546587 0.185947i
\(22\) 1.21706i 0.259477i
\(23\) −3.61209 + 3.15480i −0.753174 + 0.657822i
\(24\) 1.17834 + 0.680317i 0.240528 + 0.138869i
\(25\) −4.63091 + 0.892534i −0.926181 + 0.178507i
\(26\) −1.90935 0.0909534i −0.374454 0.0178374i
\(27\) −0.989821 0.142315i −0.190491 0.0273885i
\(28\) 3.61184 3.40762i 0.682573 0.643980i
\(29\) 1.32102 + 9.18791i 0.245308 + 1.70615i 0.624658 + 0.780898i \(0.285238\pi\)
−0.379351 + 0.925253i \(0.623853\pi\)
\(30\) 0.181721 0.0440849i 0.0331775 0.00804877i
\(31\) −5.85279 + 0.278803i −1.05119 + 0.0500745i −0.566058 0.824365i \(-0.691532\pi\)
−0.485134 + 0.874440i \(0.661229\pi\)
\(32\) 3.85354 + 0.367969i 0.681216 + 0.0650483i
\(33\) 2.50971 + 2.39301i 0.436885 + 0.416569i
\(34\) 1.20629 1.39213i 0.206876 0.238748i
\(35\) 0.0745126 1.40766i 0.0125949 0.237938i
\(36\) −1.80080 + 0.528762i −0.300133 + 0.0881270i
\(37\) 1.19470 + 0.850745i 0.196408 + 0.139862i 0.674030 0.738704i \(-0.264562\pi\)
−0.477622 + 0.878565i \(0.658501\pi\)
\(38\) 0.0126855 + 0.266300i 0.00205785 + 0.0431996i
\(39\) 3.94177 3.75847i 0.631188 0.601836i
\(40\) 0.569836 0.448124i 0.0900990 0.0708546i
\(41\) −0.252330 0.115235i −0.0394074 0.0179967i 0.395614 0.918417i \(-0.370532\pi\)
−0.435021 + 0.900420i \(0.643259\pi\)
\(42\) 0.00490688 0.928556i 0.000757149 0.143279i
\(43\) −1.75952 + 2.73787i −0.268325 + 0.417521i −0.949102 0.314969i \(-0.898006\pi\)
0.680777 + 0.732490i \(0.261642\pi\)
\(44\) 6.15036 + 2.12866i 0.927202 + 0.320908i
\(45\) −0.266395 + 0.461411i −0.0397119 + 0.0687830i
\(46\) 0.631700 + 1.56014i 0.0931391 + 0.230030i
\(47\) 3.80333 2.19586i 0.554773 0.320298i −0.196272 0.980550i \(-0.562883\pi\)
0.751045 + 0.660251i \(0.229550\pi\)
\(48\) −2.47592 + 2.14540i −0.357368 + 0.309661i
\(49\) −6.69523 2.04300i −0.956462 0.291857i
\(50\) −0.235560 + 1.63836i −0.0333132 + 0.231698i
\(51\) 0.498903 + 5.22475i 0.0698604 + 0.731611i
\(52\) 3.79913 9.48976i 0.526844 1.31599i
\(53\) −7.74517 8.12290i −1.06388 1.11577i −0.992980 0.118283i \(-0.962261\pi\)
−0.0709016 0.997483i \(-0.522588\pi\)
\(54\) −0.160822 + 0.311951i −0.0218851 + 0.0424512i
\(55\) 1.68061 0.767511i 0.226614 0.103491i
\(56\) −1.47813 3.28244i −0.197523 0.438634i
\(57\) −0.574086 0.497448i −0.0760395 0.0658886i
\(58\) 3.19893 + 0.616543i 0.420040 + 0.0809561i
\(59\) 1.78232 + 0.432385i 0.232038 + 0.0562918i 0.350092 0.936715i \(-0.386150\pi\)
−0.118054 + 0.993007i \(0.537666\pi\)
\(60\) −0.0950517 + 0.995426i −0.0122711 + 0.128509i
\(61\) −6.19347 3.19296i −0.792993 0.408816i 0.0136119 0.999907i \(-0.495667\pi\)
−0.806605 + 0.591091i \(0.798697\pi\)
\(62\) −0.579372 + 1.97316i −0.0735803 + 0.250591i
\(63\) 1.90515 + 1.83587i 0.240026 + 0.231298i
\(64\) −2.15750 + 4.72427i −0.269688 + 0.590534i
\(65\) −1.07849 2.69395i −0.133771 0.334143i
\(66\) 1.08176 0.557687i 0.133156 0.0686465i
\(67\) 0.663668 + 3.44344i 0.0810800 + 0.420683i 0.999675 + 0.0254832i \(0.00811243\pi\)
−0.918595 + 0.395200i \(0.870675\pi\)
\(68\) 4.92527 + 8.53081i 0.597276 + 1.03451i
\(69\) −4.45926 1.76494i −0.536831 0.212474i
\(70\) −0.458316 0.186298i −0.0547793 0.0222669i
\(71\) −4.66663 5.38558i −0.553827 0.639150i 0.407944 0.913007i \(-0.366246\pi\)
−0.961770 + 0.273857i \(0.911701\pi\)
\(72\) −0.0647415 + 1.35909i −0.00762986 + 0.160171i
\(73\) 9.94741 12.6492i 1.16426 1.48047i 0.317686 0.948196i \(-0.397094\pi\)
0.846570 0.532277i \(-0.178663\pi\)
\(74\) 0.419301 0.298583i 0.0487427 0.0347095i
\(75\) −2.91532 3.70713i −0.336632 0.428063i
\(76\) −1.36793 0.401661i −0.156912 0.0460736i
\(77\) −1.68870 9.01800i −0.192446 1.02770i
\(78\) −0.794071 1.73877i −0.0899108 0.196877i
\(79\) 8.92525 9.36053i 1.00417 1.05314i 0.00558245 0.999984i \(-0.498223\pi\)
0.998586 0.0531573i \(-0.0169285\pi\)
\(80\) 0.570891 + 1.64948i 0.0638276 + 0.184418i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) −0.0671843 + 0.0704608i −0.00741926 + 0.00778110i
\(83\) −1.76265 3.85967i −0.193476 0.423654i 0.787886 0.615821i \(-0.211176\pi\)
−0.981362 + 0.192167i \(0.938448\pi\)
\(84\) 4.68385 + 1.64886i 0.511050 + 0.179906i
\(85\) 2.68309 + 0.787826i 0.291022 + 0.0854517i
\(86\) 0.706076 + 0.897848i 0.0761381 + 0.0968175i
\(87\) −7.56121 + 5.38431i −0.810647 + 0.577259i
\(88\) 2.91667 3.70884i 0.310918 0.395364i
\(89\) −0.703445 + 14.7671i −0.0745650 + 1.56531i 0.583351 + 0.812221i \(0.301741\pi\)
−0.657916 + 0.753092i \(0.728562\pi\)
\(90\) 0.122453 + 0.141319i 0.0129077 + 0.0148963i
\(91\) −14.2739 + 1.97534i −1.49631 + 0.207072i
\(92\) −8.98898 + 0.463561i −0.937166 + 0.0483296i
\(93\) −2.92971 5.07441i −0.303797 0.526192i
\(94\) −0.291701 1.51349i −0.0300866 0.156104i
\(95\) −0.359730 + 0.185454i −0.0369076 + 0.0190272i
\(96\) 1.43873 + 3.59378i 0.146840 + 0.366788i
\(97\) −1.63139 + 3.57223i −0.165642 + 0.362705i −0.974192 0.225723i \(-0.927526\pi\)
0.808550 + 0.588428i \(0.200253\pi\)
\(98\) −1.44613 + 1.98605i −0.146081 + 0.200621i
\(99\) −0.976973 + 3.32726i −0.0981894 + 0.334403i
\(100\) −7.86739 4.05592i −0.786739 0.405592i
\(101\) 0.211669 2.21670i 0.0210619 0.220570i −0.978813 0.204756i \(-0.934360\pi\)
0.999875 0.0158141i \(-0.00503400\pi\)
\(102\) 1.79013 + 0.434280i 0.177249 + 0.0430001i
\(103\) −8.02221 1.54615i −0.790452 0.152347i −0.221982 0.975051i \(-0.571253\pi\)
−0.568470 + 0.822704i \(0.692465\pi\)
\(104\) −5.60055 4.85291i −0.549179 0.475867i
\(105\) 1.28532 0.578798i 0.125435 0.0564849i
\(106\) −3.58313 + 1.63636i −0.348025 + 0.158938i
\(107\) −4.43166 + 8.59622i −0.428425 + 0.831028i 0.571521 + 0.820588i \(0.306354\pi\)
−0.999945 + 0.0104403i \(0.996677\pi\)
\(108\) −1.29516 1.35832i −0.124626 0.130704i
\(109\) −7.50906 + 18.7567i −0.719238 + 1.79657i −0.125202 + 0.992131i \(0.539958\pi\)
−0.594036 + 0.804438i \(0.702467\pi\)
\(110\) −0.0616378 0.645500i −0.00587693 0.0615460i
\(111\) −0.208727 + 1.45173i −0.0198115 + 0.137792i
\(112\) 8.63276 0.778316i 0.815719 0.0735440i
\(113\) −0.671344 + 0.581723i −0.0631547 + 0.0547239i −0.685866 0.727728i \(-0.740576\pi\)
0.622712 + 0.782452i \(0.286031\pi\)
\(114\) −0.230884 + 0.133301i −0.0216243 + 0.0124848i
\(115\) −1.75600 + 1.85617i −0.163748 + 0.173089i
\(116\) −8.71070 + 15.0874i −0.808768 + 1.40083i
\(117\) 5.14688 + 1.78135i 0.475829 + 0.164686i
\(118\) 0.347998 0.541495i 0.0320358 0.0498487i
\(119\) 7.00658 11.9890i 0.642293 1.09903i
\(120\) 0.659422 + 0.301148i 0.0601967 + 0.0274909i
\(121\) 0.805827 0.633709i 0.0732570 0.0576100i
\(122\) −1.76993 + 1.68763i −0.160242 + 0.152791i
\(123\) −0.0131991 0.277084i −0.00119013 0.0249838i
\(124\) −8.95798 6.37895i −0.804450 0.572846i
\(125\) −4.96698 + 1.45844i −0.444260 + 0.130446i
\(126\) 0.827582 0.421127i 0.0737268 0.0375170i
\(127\) −0.326715 + 0.377049i −0.0289913 + 0.0334577i −0.770060 0.637971i \(-0.779774\pi\)
0.741069 + 0.671429i \(0.234319\pi\)
\(128\) 6.92246 + 6.60055i 0.611864 + 0.583412i
\(129\) −3.23978 0.309361i −0.285246 0.0272377i
\(130\) −1.01728 + 0.0484591i −0.0892216 + 0.00425015i
\(131\) −5.81404 + 1.41047i −0.507975 + 0.123233i −0.481552 0.876417i \(-0.659927\pi\)
−0.0264229 + 0.999651i \(0.508412\pi\)
\(132\) 0.926230 + 6.44207i 0.0806180 + 0.560710i
\(133\) 0.463495 + 1.95560i 0.0401901 + 0.169572i
\(134\) 1.21824 + 0.175157i 0.105240 + 0.0151313i
\(135\) −0.532187 0.0253512i −0.0458034 0.00218189i
\(136\) 7.01225 1.35150i 0.601296 0.115890i
\(137\) 10.3862 + 5.99650i 0.887356 + 0.512315i 0.873077 0.487583i \(-0.162121\pi\)
0.0142795 + 0.999898i \(0.495455\pi\)
\(138\) −1.09724 + 1.27637i −0.0934036 + 0.108652i
\(139\) 23.2258i 1.96999i −0.172594 0.984993i \(-0.555215\pi\)
0.172594 0.984993i \(-0.444785\pi\)
\(140\) 1.74306 1.99025i 0.147316 0.168207i
\(141\) 3.69454 + 2.37434i 0.311137 + 0.199955i
\(142\) −2.32188 + 0.929540i −0.194848 + 0.0780052i
\(143\) −10.9554 15.3847i −0.916136 1.28653i
\(144\) −3.04144 1.21761i −0.253453 0.101467i
\(145\) 1.16596 + 4.80616i 0.0968279 + 0.399130i
\(146\) −3.05340 4.75118i −0.252701 0.393211i
\(147\) −1.25204 6.88712i −0.103267 0.568040i
\(148\) 0.775513 + 2.64116i 0.0637468 + 0.217102i
\(149\) 0.297862 1.54545i 0.0244018 0.126609i −0.967685 0.252162i \(-0.918858\pi\)
0.992087 + 0.125553i \(0.0400706\pi\)
\(150\) −1.56417 + 0.541364i −0.127714 + 0.0442022i
\(151\) 0.382541 1.57685i 0.0311307 0.128323i −0.954126 0.299406i \(-0.903212\pi\)
0.985257 + 0.171083i \(0.0547267\pi\)
\(152\) −0.599530 + 0.841921i −0.0486283 + 0.0682888i
\(153\) −4.41533 + 2.83756i −0.356958 + 0.229403i
\(154\) −3.18479 0.475094i −0.256637 0.0382841i
\(155\) −3.09007 + 0.444286i −0.248201 + 0.0356859i
\(156\) 10.1757 0.971661i 0.814708 0.0777952i
\(157\) 12.3247 + 9.69228i 0.983621 + 0.773528i 0.974028 0.226426i \(-0.0727041\pi\)
0.00959255 + 0.999954i \(0.496947\pi\)
\(158\) −2.08002 4.03467i −0.165477 0.320981i
\(159\) 3.67088 10.6063i 0.291120 0.841136i
\(160\) 2.06247 0.163053
\(161\) 6.84544 + 10.6836i 0.539496 + 0.841988i
\(162\) −0.350966 −0.0275745
\(163\) 5.40712 15.6228i 0.423518 1.22368i −0.508436 0.861100i \(-0.669776\pi\)
0.931954 0.362576i \(-0.118103\pi\)
\(164\) −0.238565 0.462752i −0.0186288 0.0361349i
\(165\) 1.45229 + 1.14210i 0.113061 + 0.0889120i
\(166\) −1.48245 + 0.141556i −0.115060 + 0.0109869i
\(167\) −18.4168 + 2.64793i −1.42513 + 0.204903i −0.811345 0.584568i \(-0.801264\pi\)
−0.613787 + 0.789471i \(0.710355\pi\)
\(168\) 2.24023 2.81791i 0.172838 0.217407i
\(169\) −14.0183 + 9.00902i −1.07833 + 0.693002i
\(170\) 0.569284 0.799447i 0.0436621 0.0613148i
\(171\) 0.179088 0.738212i 0.0136952 0.0564525i
\(172\) −5.77220 + 1.99778i −0.440126 + 0.152329i
\(173\) 2.50130 12.9780i 0.190170 0.986696i −0.753909 0.656978i \(-0.771834\pi\)
0.944080 0.329718i \(-0.106954\pi\)
\(174\) 0.917829 + 3.12584i 0.0695804 + 0.236969i
\(175\) 0.527843 + 12.4665i 0.0399012 + 0.942382i
\(176\) 6.14204 + 9.55720i 0.462974 + 0.720401i
\(177\) 0.432385 + 1.78232i 0.0325001 + 0.133967i
\(178\) 4.81696 + 1.92842i 0.361047 + 0.144541i
\(179\) 9.29145 + 13.0480i 0.694476 + 0.975255i 0.999736 + 0.0229857i \(0.00731722\pi\)
−0.305260 + 0.952269i \(0.598743\pi\)
\(180\) −0.928325 + 0.371645i −0.0691933 + 0.0277008i
\(181\) −16.7320 10.7530i −1.24368 0.799266i −0.257717 0.966220i \(-0.582970\pi\)
−0.985965 + 0.166955i \(0.946607\pi\)
\(182\) −0.983345 + 4.96086i −0.0728904 + 0.367724i
\(183\) 6.96808i 0.515095i
\(184\) −1.81382 + 6.26821i −0.133717 + 0.462099i
\(185\) 0.676731 + 0.390711i 0.0497543 + 0.0287256i
\(186\) −2.01930 + 0.389188i −0.148062 + 0.0285366i
\(187\) 18.1798 + 0.866012i 1.32944 + 0.0633290i
\(188\) 8.15857 + 1.17302i 0.595025 + 0.0855516i
\(189\) −0.758799 + 2.53461i −0.0551945 + 0.184365i
\(190\) 0.0202149 + 0.140598i 0.00146654 + 0.0102000i
\(191\) 25.5649 6.20199i 1.84981 0.448760i 0.852548 0.522649i \(-0.175056\pi\)
0.997266 + 0.0738894i \(0.0235412\pi\)
\(192\) −5.18772 + 0.247122i −0.374392 + 0.0178345i
\(193\) 5.65812 + 0.540285i 0.407281 + 0.0388906i 0.296686 0.954975i \(-0.404118\pi\)
0.110594 + 0.993866i \(0.464725\pi\)
\(194\) 0.997512 + 0.951126i 0.0716172 + 0.0682869i
\(195\) 1.90028 2.19304i 0.136082 0.157047i
\(196\) −7.50712 10.7816i −0.536223 0.770117i
\(197\) −14.3914 + 4.22570i −1.02535 + 0.301069i −0.750817 0.660510i \(-0.770340\pi\)
−0.274529 + 0.961579i \(0.588522\pi\)
\(198\) 0.991384 + 0.705962i 0.0704546 + 0.0501705i
\(199\) 0.297262 + 6.24030i 0.0210723 + 0.442363i 0.984607 + 0.174781i \(0.0559217\pi\)
−0.963535 + 0.267582i \(0.913775\pi\)
\(200\) −4.64415 + 4.42819i −0.328391 + 0.313120i
\(201\) −2.75654 + 2.16777i −0.194431 + 0.152902i
\(202\) −0.710901 0.324658i −0.0500188 0.0228428i
\(203\) 24.5585 + 0.129778i 1.72367 + 0.00910862i
\(204\) −5.32560 + 8.28680i −0.372867 + 0.580192i
\(205\) −0.139667 0.0483391i −0.00975474 0.00337615i
\(206\) −1.43367 + 2.48319i −0.0998885 + 0.173012i
\(207\) −0.474605 4.77229i −0.0329873 0.331697i
\(208\) 15.4526 8.92155i 1.07144 0.618598i
\(209\) −1.99078 + 1.72502i −0.137705 + 0.119322i
\(210\) −0.0444242 0.492735i −0.00306556 0.0340019i
\(211\) −0.600207 + 4.17453i −0.0413199 + 0.287387i 0.958676 + 0.284501i \(0.0918277\pi\)
−0.999996 + 0.00288603i \(0.999081\pi\)
\(212\) −2.00233 20.9693i −0.137520 1.44018i
\(213\) 2.64852 6.61568i 0.181473 0.453299i
\(214\) 2.34234 + 2.45658i 0.160119 + 0.167928i
\(215\) −0.794553 + 1.54122i −0.0541881 + 0.105110i
\(216\) −1.23768 + 0.565227i −0.0842131 + 0.0384589i
\(217\) −1.55514 + 15.4244i −0.105570 + 1.04708i
\(218\) 5.35896 + 4.64356i 0.362954 + 0.314502i
\(219\) 15.8012 + 3.04543i 1.06775 + 0.205791i
\(220\) 3.36983 + 0.817511i 0.227194 + 0.0551166i
\(221\) 2.71724 28.4562i 0.182781 1.91417i
\(222\) 0.457525 + 0.235871i 0.0307071 + 0.0158306i
\(223\) 1.53968 5.24367i 0.103105 0.351142i −0.891741 0.452547i \(-0.850516\pi\)
0.994845 + 0.101405i \(0.0323337\pi\)
\(224\) 2.46718 9.94029i 0.164845 0.664163i
\(225\) 1.95915 4.28995i 0.130610 0.285996i
\(226\) 0.115873 + 0.289436i 0.00770773 + 0.0192530i
\(227\) 5.33661 2.75121i 0.354203 0.182604i −0.271937 0.962315i \(-0.587664\pi\)
0.626140 + 0.779711i \(0.284634\pi\)
\(228\) −0.269812 1.39992i −0.0178687 0.0927118i
\(229\) −0.328681 0.569292i −0.0217198 0.0376199i 0.854961 0.518692i \(-0.173581\pi\)
−0.876681 + 0.481072i \(0.840248\pi\)
\(230\) 0.414053 + 0.795471i 0.0273019 + 0.0524518i
\(231\) 7.24171 5.63327i 0.476470 0.370642i
\(232\) 8.27084 + 9.54506i 0.543007 + 0.626664i
\(233\) −0.318463 + 6.68537i −0.0208632 + 0.437973i 0.964135 + 0.265411i \(0.0855076\pi\)
−0.984999 + 0.172562i \(0.944795\pi\)
\(234\) 1.18162 1.50255i 0.0772448 0.0982248i
\(235\) 1.90600 1.35725i 0.124334 0.0885375i
\(236\) 2.12778 + 2.70569i 0.138507 + 0.176125i
\(237\) 12.4098 + 3.64383i 0.806100 + 0.236692i
\(238\) −3.17203 3.70004i −0.205612 0.239838i
\(239\) −10.3238 22.6060i −0.667792 1.46226i −0.875079 0.483980i \(-0.839191\pi\)
0.207287 0.978280i \(-0.433537\pi\)
\(240\) −1.20452 + 1.26326i −0.0777514 + 0.0815434i
\(241\) 9.41914 + 27.2148i 0.606740 + 1.75306i 0.656529 + 0.754301i \(0.272024\pi\)
−0.0497887 + 0.998760i \(0.515855\pi\)
\(242\) −0.117677 0.340007i −0.00756459 0.0218564i
\(243\) 0.690079 0.723734i 0.0442686 0.0464276i
\(244\) −5.43273 11.8960i −0.347795 0.761565i
\(245\) −3.65448 0.744484i −0.233476 0.0475633i
\(246\) −0.0934137 0.0274287i −0.00595584 0.00174879i
\(247\) 2.55747 + 3.25209i 0.162728 + 0.206926i
\(248\) −6.49423 + 4.62452i −0.412384 + 0.293657i
\(249\) 2.62292 3.33531i 0.166221 0.211367i
\(250\) −0.0864485 + 1.81478i −0.00546748 + 0.114777i
\(251\) −2.86758 3.30936i −0.181000 0.208885i 0.657998 0.753020i \(-0.271404\pi\)
−0.838998 + 0.544135i \(0.816858\pi\)
\(252\) 0.680697 + 4.91873i 0.0428799 + 0.309851i
\(253\) −8.25874 + 14.4351i −0.519223 + 0.907526i
\(254\) 0.0875498 + 0.151641i 0.00549336 + 0.00951478i
\(255\) 0.529215 + 2.74583i 0.0331407 + 0.171950i
\(256\) −6.24874 + 3.22145i −0.390546 + 0.201340i
\(257\) −1.42374 3.55633i −0.0888104 0.221838i 0.877313 0.479919i \(-0.159334\pi\)
−0.966123 + 0.258081i \(0.916910\pi\)
\(258\) −0.474497 + 1.03900i −0.0295409 + 0.0646855i
\(259\) 2.69259 2.79420i 0.167310 0.173623i
\(260\) 1.53437 5.22557i 0.0951574 0.324076i
\(261\) −8.25052 4.25344i −0.510694 0.263281i
\(262\) −0.199591 + 2.09021i −0.0123308 + 0.129134i
\(263\) 10.5700 + 2.56426i 0.651774 + 0.158119i 0.547995 0.836482i \(-0.315391\pi\)
0.103779 + 0.994600i \(0.466906\pi\)
\(264\) 4.63304 + 0.892946i 0.285144 + 0.0549570i
\(265\) −4.51926 3.91596i −0.277616 0.240555i
\(266\) 0.701806 + 0.0707587i 0.0430305 + 0.00433849i
\(267\) −13.4479 + 6.14144i −0.822997 + 0.375850i
\(268\) −3.01589 + 5.85001i −0.184225 + 0.357346i
\(269\) 6.01385 + 6.30714i 0.366671 + 0.384553i 0.881061 0.473003i \(-0.156830\pi\)
−0.514390 + 0.857556i \(0.671982\pi\)
\(270\) −0.0694977 + 0.173597i −0.00422950 + 0.0105648i
\(271\) −1.53637 16.0896i −0.0933279 0.977373i −0.913930 0.405873i \(-0.866968\pi\)
0.820602 0.571501i \(-0.193639\pi\)
\(272\) −2.44706 + 17.0197i −0.148375 + 1.03197i
\(273\) −8.29642 11.7820i −0.502122 0.713077i
\(274\) 3.18105 2.75640i 0.192174 0.166520i
\(275\) −14.1632 + 8.17714i −0.854075 + 0.493100i
\(276\) −4.53102 7.77731i −0.272735 0.468139i
\(277\) −1.58514 + 2.74555i −0.0952419 + 0.164964i −0.909710 0.415245i \(-0.863696\pi\)
0.814468 + 0.580209i \(0.197029\pi\)
\(278\) −7.70314 2.66608i −0.462004 0.159901i
\(279\) 3.16785 4.92926i 0.189654 0.295107i
\(280\) −0.950205 1.66607i −0.0567856 0.0995670i
\(281\) 13.0690 + 5.96841i 0.779631 + 0.356046i 0.765152 0.643850i \(-0.222664\pi\)
0.0144791 + 0.999895i \(0.495391\pi\)
\(282\) 1.21158 0.952794i 0.0721483 0.0567381i
\(283\) 9.99381 9.52908i 0.594071 0.566445i −0.332245 0.943193i \(-0.607806\pi\)
0.926316 + 0.376748i \(0.122958\pi\)
\(284\) −0.636384 13.3593i −0.0377625 0.792731i
\(285\) −0.329676 0.234761i −0.0195283 0.0139061i
\(286\) −6.36010 + 1.86749i −0.376081 + 0.110427i
\(287\) −0.400048 + 0.615313i −0.0236141 + 0.0363208i
\(288\) −2.53501 + 2.92556i −0.149377 + 0.172390i
\(289\) 7.63316 + 7.27820i 0.449009 + 0.428129i
\(290\) 1.72787 + 0.164991i 0.101464 + 0.00968863i
\(291\) −3.92267 + 0.186860i −0.229951 + 0.0109539i
\(292\) 29.3505 7.12035i 1.71761 0.416687i
\(293\) 0.551609 + 3.83653i 0.0322254 + 0.224132i 0.999570 0.0293336i \(-0.00933851\pi\)
−0.967344 + 0.253466i \(0.918429\pi\)
\(294\) −2.42792 0.375314i −0.141599 0.0218888i
\(295\) 0.967200 + 0.139062i 0.0563126 + 0.00809653i
\(296\) 1.99332 + 0.0949537i 0.115860 + 0.00551907i
\(297\) −3.40506 + 0.656272i −0.197582 + 0.0380808i
\(298\) −0.478379 0.276192i −0.0277117 0.0159994i
\(299\) 22.0289 + 14.0353i 1.27397 + 0.811681i
\(300\) 8.85135i 0.511033i
\(301\) 6.47759 + 5.67307i 0.373362 + 0.326990i
\(302\) −0.479073 0.307881i −0.0275675 0.0177166i
\(303\) 2.06728 0.827612i 0.118762 0.0475451i
\(304\) −1.44354 2.02716i −0.0827925 0.116266i
\(305\) −3.44659 1.37981i −0.197351 0.0790075i
\(306\) 0.434280 + 1.79013i 0.0248261 + 0.102335i
\(307\) 5.88280 + 9.15381i 0.335749 + 0.522435i 0.967545 0.252699i \(-0.0813183\pi\)
−0.631796 + 0.775135i \(0.717682\pi\)
\(308\) 7.97115 15.2633i 0.454198 0.869707i
\(309\) −2.30171 7.83892i −0.130940 0.445940i
\(310\) −0.207356 + 1.07586i −0.0117770 + 0.0611049i
\(311\) −22.3225 + 7.72590i −1.26579 + 0.438096i −0.875779 0.482713i \(-0.839651\pi\)
−0.390015 + 0.920808i \(0.627530\pi\)
\(312\) 1.74711 7.20170i 0.0989108 0.407716i
\(313\) −7.83304 + 11.0000i −0.442750 + 0.621755i −0.974295 0.225275i \(-0.927672\pi\)
0.531546 + 0.847030i \(0.321611\pi\)
\(314\) 4.62933 2.97509i 0.261248 0.167894i
\(315\) 1.10343 + 0.877220i 0.0621710 + 0.0494258i
\(316\) 24.0271 3.45458i 1.35163 0.194335i
\(317\) 24.2428 2.31491i 1.36161 0.130018i 0.611455 0.791279i \(-0.290584\pi\)
0.750156 + 0.661261i \(0.229978\pi\)
\(318\) −3.09634 2.43499i −0.173634 0.136548i
\(319\) 14.7498 + 28.6106i 0.825829 + 1.60188i
\(320\) −0.905032 + 2.61492i −0.0505928 + 0.146178i
\(321\) −9.67133 −0.539801
\(322\) 4.32915 1.04401i 0.241254 0.0581804i
\(323\) −3.98690 −0.221837
\(324\) 0.613849 1.77360i 0.0341027 0.0985333i
\(325\) 11.7700 + 22.8307i 0.652885 + 1.26642i
\(326\) −4.56084 3.58669i −0.252602 0.198648i
\(327\) −20.1125 + 1.92051i −1.11222 + 0.106205i
\(328\) −0.373596 + 0.0537149i −0.0206284 + 0.00296591i
\(329\) −4.26142 10.8097i −0.234940 0.595959i
\(330\) 0.545499 0.350571i 0.0300287 0.0192983i
\(331\) 15.0749 21.1698i 0.828593 1.16360i −0.155830 0.987784i \(-0.549805\pi\)
0.984424 0.175813i \(-0.0562553\pi\)
\(332\) 1.87748 7.73909i 0.103040 0.424738i
\(333\) −1.38599 + 0.479697i −0.0759520 + 0.0262872i
\(334\) −1.23583 + 6.41212i −0.0676218 + 0.350855i
\(335\) 0.526388 + 1.79271i 0.0287597 + 0.0979464i
\(336\) 4.64755 + 7.31645i 0.253545 + 0.399145i
\(337\) 4.27370 + 6.65001i 0.232803 + 0.362249i 0.937926 0.346837i \(-0.112744\pi\)
−0.705122 + 0.709086i \(0.749108\pi\)
\(338\) 1.37880 + 5.68350i 0.0749970 + 0.309142i
\(339\) −0.824683 0.330153i −0.0447906 0.0179315i
\(340\) 3.04430 + 4.27512i 0.165100 + 0.231851i
\(341\) −18.8634 + 7.55178i −1.02151 + 0.408952i
\(342\) −0.224280 0.144136i −0.0121277 0.00779399i
\(343\) −7.95969 + 16.7225i −0.429783 + 0.902932i
\(344\) 4.42820i 0.238752i
\(345\) −2.45448 0.710249i −0.132145 0.0382385i
\(346\) −4.01719 2.31933i −0.215965 0.124688i
\(347\) 14.6153 2.81687i 0.784591 0.151218i 0.218804 0.975769i \(-0.429784\pi\)
0.565787 + 0.824551i \(0.308572\pi\)
\(348\) −17.4017 0.828943i −0.932827 0.0444360i
\(349\) 5.58753 + 0.803365i 0.299093 + 0.0430031i 0.290228 0.956958i \(-0.406269\pi\)
0.00886554 + 0.999961i \(0.497178\pi\)
\(350\) 4.19529 + 1.25597i 0.224247 + 0.0671342i
\(351\) 0.775108 + 5.39099i 0.0413722 + 0.287750i
\(352\) 13.0454 3.16479i 0.695324 0.168684i
\(353\) −20.0133 + 0.953351i −1.06520 + 0.0507418i −0.572854 0.819657i \(-0.694164\pi\)
−0.492347 + 0.870399i \(0.663861\pi\)
\(354\) 0.640762 + 0.0611854i 0.0340561 + 0.00325197i
\(355\) −2.74783 2.62005i −0.145840 0.139058i
\(356\) −18.1702 + 20.9696i −0.963020 + 1.11138i
\(357\) 13.8669 + 0.734023i 0.733912 + 0.0388486i
\(358\) 5.39411 1.58385i 0.285088 0.0837093i
\(359\) −26.7748 19.0662i −1.41312 1.00628i −0.995207 0.0977888i \(-0.968823\pi\)
−0.417911 0.908488i \(-0.637238\pi\)
\(360\) 0.0344937 + 0.724112i 0.00181798 + 0.0381640i
\(361\) −13.3333 + 12.7133i −0.701754 + 0.669121i
\(362\) −5.48704 + 4.31506i −0.288393 + 0.226794i
\(363\) 0.932515 + 0.425865i 0.0489443 + 0.0223521i
\(364\) −23.3497 13.6460i −1.22386 0.715244i
\(365\) 4.63528 7.21263i 0.242621 0.377526i
\(366\) −2.31105 0.799864i −0.120801 0.0418095i
\(367\) 8.88077 15.3819i 0.463573 0.802931i −0.535563 0.844495i \(-0.679901\pi\)
0.999136 + 0.0415639i \(0.0132340\pi\)
\(368\) −12.8340 9.06337i −0.669019 0.472461i
\(369\) 0.240234 0.138699i 0.0125061 0.00722039i
\(370\) 0.207266 0.179597i 0.0107753 0.00933682i
\(371\) −24.2794 + 17.0966i −1.26052 + 0.887614i
\(372\) 1.56505 10.8852i 0.0811441 0.564370i
\(373\) 2.88992 + 30.2646i 0.149634 + 1.56704i 0.688868 + 0.724886i \(0.258108\pi\)
−0.539234 + 0.842156i \(0.681286\pi\)
\(374\) 2.37408 5.93017i 0.122761 0.306642i
\(375\) −3.57231 3.74653i −0.184473 0.193470i
\(376\) 2.73814 5.31124i 0.141209 0.273906i
\(377\) 45.9872 21.0017i 2.36846 1.08164i
\(378\) 0.753533 + 0.542612i 0.0387576 + 0.0279090i
\(379\) 10.8858 + 9.43262i 0.559167 + 0.484521i 0.887985 0.459872i \(-0.152105\pi\)
−0.328818 + 0.944393i \(0.606650\pi\)
\(380\) −0.745863 0.143753i −0.0382620 0.00737439i
\(381\) −0.484844 0.117622i −0.0248393 0.00602595i
\(382\) 0.877622 9.19087i 0.0449030 0.470246i
\(383\) −4.72603 2.43644i −0.241489 0.124496i 0.333234 0.942844i \(-0.391860\pi\)
−0.574723 + 0.818348i \(0.694890\pi\)
\(384\) −2.69475 + 9.17747i −0.137516 + 0.468336i
\(385\) −1.35237 4.69743i −0.0689231 0.239403i
\(386\) 0.828687 1.81457i 0.0421791 0.0923593i
\(387\) −1.20958 3.02139i −0.0614864 0.153586i
\(388\) −6.55117 + 3.37736i −0.332585 + 0.171460i
\(389\) −0.186929 0.969882i −0.00947770 0.0491750i 0.976882 0.213779i \(-0.0685774\pi\)
−0.986360 + 0.164604i \(0.947365\pi\)
\(390\) −0.509218 0.881992i −0.0257853 0.0446614i
\(391\) −23.7541 + 8.32591i −1.20130 + 0.421059i
\(392\) −9.16647 + 2.58661i −0.462977 + 0.130644i
\(393\) −3.91782 4.52141i −0.197628 0.228075i
\(394\) −0.250478 + 5.25817i −0.0126189 + 0.264903i
\(395\) 4.25969 5.41664i 0.214328 0.272541i
\(396\) −5.30152 + 3.77519i −0.266411 + 0.189711i
\(397\) 6.41321 + 8.15506i 0.321870 + 0.409291i 0.919881 0.392197i \(-0.128285\pi\)
−0.598012 + 0.801487i \(0.704042\pi\)
\(398\) 2.10380 + 0.617731i 0.105454 + 0.0309641i
\(399\) −1.52582 + 1.30808i −0.0763867 + 0.0654859i
\(400\) −6.41840 14.0543i −0.320920 0.702717i
\(401\) −10.8385 + 11.3671i −0.541250 + 0.567647i −0.936384 0.350977i \(-0.885850\pi\)
0.395134 + 0.918623i \(0.370698\pi\)
\(402\) 0.402546 + 1.16308i 0.0200772 + 0.0580091i
\(403\) 10.4377 + 30.1578i 0.519939 + 1.50227i
\(404\) 2.88403 3.02469i 0.143486 0.150484i
\(405\) −0.221329 0.484644i −0.0109979 0.0240821i
\(406\) 2.86211 8.13027i 0.142044 0.403498i
\(407\) 4.87996 + 1.43288i 0.241891 + 0.0710255i
\(408\) 4.41446 + 5.61344i 0.218548 + 0.277907i
\(409\) −11.6352 + 8.28536i −0.575322 + 0.409685i −0.830345 0.557250i \(-0.811856\pi\)
0.255023 + 0.966935i \(0.417917\pi\)
\(410\) −0.0320646 + 0.0407735i −0.00158356 + 0.00201366i
\(411\) −0.570650 + 11.9794i −0.0281481 + 0.590901i
\(412\) −10.0412 11.5882i −0.494695 0.570909i
\(413\) 1.82721 4.49517i 0.0899113 0.221193i
\(414\) −1.63727 0.390401i −0.0804676 0.0191872i
\(415\) −1.13035 1.95782i −0.0554865 0.0961055i
\(416\) −3.99008 20.7025i −0.195630 1.01502i
\(417\) 20.6439 10.6427i 1.01094 0.521174i
\(418\) 0.343604 + 0.858281i 0.0168062 + 0.0419799i
\(419\) 11.7300 25.6851i 0.573048 1.25480i −0.372110 0.928189i \(-0.621366\pi\)
0.945158 0.326612i \(-0.105907\pi\)
\(420\) 2.56772 + 0.637309i 0.125292 + 0.0310975i
\(421\) 7.65441 26.0685i 0.373053 1.27050i −0.532558 0.846394i \(-0.678769\pi\)
0.905611 0.424109i \(-0.139413\pi\)
\(422\) 1.31564 + 0.678260i 0.0640444 + 0.0330172i
\(423\) −0.417459 + 4.37182i −0.0202975 + 0.212565i
\(424\) −14.8407 3.60032i −0.720730 0.174847i
\(425\) −24.3054 4.68448i −1.17898 0.227231i
\(426\) −1.89015 1.63783i −0.0915783 0.0793530i
\(427\) −10.7730 + 14.9606i −0.521343 + 0.723996i
\(428\) −16.5111 + 7.54035i −0.798092 + 0.364477i
\(429\) 8.65441 16.7872i 0.417839 0.810494i
\(430\) 0.419959 + 0.440440i 0.0202522 + 0.0212399i
\(431\) 7.66783 19.1533i 0.369347 0.922583i −0.620980 0.783826i \(-0.713265\pi\)
0.990327 0.138757i \(-0.0443106\pi\)
\(432\) −0.311414 3.26128i −0.0149829 0.156908i
\(433\) 0.0165654 0.115215i 0.000796081 0.00553686i −0.989420 0.145083i \(-0.953655\pi\)
0.990216 + 0.139546i \(0.0445643\pi\)
\(434\) 4.93719 + 2.28635i 0.236993 + 0.109748i
\(435\) −3.73761 + 3.23866i −0.179205 + 0.155282i
\(436\) −32.8391 + 18.9597i −1.57271 + 0.908003i
\(437\) 1.65661 3.24458i 0.0792466 0.155209i
\(438\) 2.82387 4.89109i 0.134930 0.233705i
\(439\) −21.9213 7.58702i −1.04624 0.362109i −0.250739 0.968055i \(-0.580674\pi\)
−0.795506 + 0.605946i \(0.792795\pi\)
\(440\) 1.35910 2.11480i 0.0647926 0.100819i
\(441\) 5.54780 4.26872i 0.264181 0.203272i
\(442\) −9.12597 4.16769i −0.434078 0.198237i
\(443\) 18.5309 14.5729i 0.880430 0.692378i −0.0719119 0.997411i \(-0.522910\pi\)
0.952342 + 0.305033i \(0.0986676\pi\)
\(444\) −1.99219 + 1.89955i −0.0945452 + 0.0901487i
\(445\) 0.374789 + 7.86779i 0.0177667 + 0.372969i
\(446\) −1.56239 1.11257i −0.0739814 0.0526819i
\(447\) 1.51014 0.443418i 0.0714273 0.0209729i
\(448\) 11.5202 + 7.48992i 0.544280 + 0.353866i
\(449\) 16.5723 19.1254i 0.782094 0.902585i −0.215164 0.976578i \(-0.569029\pi\)
0.997259 + 0.0739928i \(0.0235742\pi\)
\(450\) −1.19793 1.14222i −0.0564708 0.0538448i
\(451\) −0.957587 0.0914385i −0.0450910 0.00430567i
\(452\) −1.66532 + 0.0793291i −0.0783301 + 0.00373132i
\(453\) 1.57685 0.382541i 0.0740871 0.0179733i
\(454\) −0.299888 2.08577i −0.0140744 0.0978899i
\(455\) −7.47051 + 1.77058i −0.350223 + 0.0830060i
\(456\) −1.02305 0.147092i −0.0479087 0.00688823i
\(457\) −25.2203 1.20139i −1.17976 0.0561987i −0.551479 0.834189i \(-0.685936\pi\)
−0.628276 + 0.777990i \(0.716239\pi\)
\(458\) −0.226542 + 0.0436624i −0.0105856 + 0.00204021i
\(459\) −4.54535 2.62426i −0.212159 0.122490i
\(460\) −4.74408 + 0.701110i −0.221194 + 0.0326894i
\(461\) 32.8550i 1.53021i 0.643905 + 0.765105i \(0.277313\pi\)
−0.643905 + 0.765105i \(0.722687\pi\)
\(462\) −1.03707 3.04845i −0.0482490 0.141827i
\(463\) −12.0060 7.71582i −0.557968 0.358585i 0.231062 0.972939i \(-0.425780\pi\)
−0.789030 + 0.614355i \(0.789416\pi\)
\(464\) −28.2318 + 11.3023i −1.31063 + 0.524696i
\(465\) −1.81085 2.54298i −0.0839762 0.117928i
\(466\) 2.18073 + 0.873034i 0.101021 + 0.0404425i
\(467\) −4.47908 18.4630i −0.207267 0.854366i −0.976521 0.215423i \(-0.930887\pi\)
0.769254 0.638943i \(-0.220628\pi\)
\(468\) 5.52642 + 8.59928i 0.255459 + 0.397502i
\(469\) 9.26984 0.392492i 0.428041 0.0181236i
\(470\) −0.231362 0.787948i −0.0106719 0.0363453i
\(471\) −2.96732 + 15.3959i −0.136727 + 0.709407i
\(472\) 2.35817 0.816172i 0.108544 0.0375674i
\(473\) −2.66072 + 10.9676i −0.122340 + 0.504293i
\(474\) 2.63304 3.69758i 0.120939 0.169836i
\(475\) 3.01378 1.93684i 0.138282 0.0888683i
\(476\) 24.2460 9.55830i 1.11131 0.438104i
\(477\) 11.1094 1.59729i 0.508663 0.0731347i
\(478\) −8.68264 + 0.829092i −0.397135 + 0.0379218i
\(479\) 31.4035 + 24.6960i 1.43486 + 1.12839i 0.970028 + 0.242993i \(0.0781293\pi\)
0.464836 + 0.885397i \(0.346113\pi\)
\(480\) 0.945079 + 1.83320i 0.0431367 + 0.0836736i
\(481\) 2.61264 7.54871i 0.119126 0.344192i
\(482\) 10.1074 0.460378
\(483\) −6.35923 + 10.9800i −0.289355 + 0.499607i
\(484\) 1.92404 0.0874562
\(485\) −0.684336 + 1.97726i −0.0310741 + 0.0897827i
\(486\) −0.160822 0.311951i −0.00729503 0.0141504i
\(487\) 3.00668 + 2.36448i 0.136246 + 0.107145i 0.683956 0.729523i \(-0.260258\pi\)
−0.547710 + 0.836668i \(0.684500\pi\)
\(488\) −9.43806 + 0.901226i −0.427241 + 0.0407966i
\(489\) 16.3638 2.35276i 0.739998 0.106396i
\(490\) −0.666414 + 1.12660i −0.0301055 + 0.0508944i
\(491\) −35.3476 + 22.7166i −1.59522 + 1.02518i −0.625730 + 0.780039i \(0.715199\pi\)
−0.969487 + 0.245144i \(0.921165\pi\)
\(492\) 0.301994 0.424091i 0.0136149 0.0191195i
\(493\) −11.4859 + 47.3454i −0.517298 + 2.13233i
\(494\) 1.37217 0.474913i 0.0617369 0.0213673i
\(495\) −0.349656 + 1.81419i −0.0157159 + 0.0815417i
\(496\) −5.40817 18.4185i −0.242834 0.827017i
\(497\) −15.9146 + 10.1093i −0.713869 + 0.453463i
\(498\) −0.805116 1.25279i −0.0360781 0.0561387i
\(499\) −1.22473 5.04840i −0.0548264 0.225998i 0.937806 0.347159i \(-0.112853\pi\)
−0.992633 + 0.121161i \(0.961338\pi\)
\(500\) −9.01973 3.61096i −0.403375 0.161487i
\(501\) −10.7926 15.1561i −0.482179 0.677125i
\(502\) −1.42676 + 0.571189i −0.0636795 + 0.0254934i
\(503\) 23.4582 + 15.0757i 1.04595 + 0.672191i 0.946451 0.322846i \(-0.104640\pi\)
0.0994986 + 0.995038i \(0.468276\pi\)
\(504\) 3.53119 + 0.699955i 0.157292 + 0.0311785i
\(505\) 1.18641i 0.0527946i
\(506\) 3.83957 + 4.39612i 0.170690 + 0.195431i
\(507\) −14.4311 8.33180i −0.640908 0.370028i
\(508\) −0.919440 + 0.177207i −0.0407935 + 0.00786231i
\(509\) 2.91727 + 0.138967i 0.129306 + 0.00615959i 0.112135 0.993693i \(-0.464231\pi\)
0.0171707 + 0.999853i \(0.494534\pi\)
\(510\) 0.971438 + 0.139672i 0.0430160 + 0.00618477i
\(511\) −29.2172 30.9681i −1.29249 1.36995i
\(512\) 3.07360 + 21.3774i 0.135835 + 0.944756i
\(513\) 0.738212 0.179088i 0.0325929 0.00790694i
\(514\) −1.34293 + 0.0639718i −0.0592343 + 0.00282168i
\(515\) −4.33311 0.413762i −0.190940 0.0182325i
\(516\) −4.42067 4.21510i −0.194609 0.185559i
\(517\) 9.97305 11.5095i 0.438614 0.506188i
\(518\) −0.617650 1.21378i −0.0271380 0.0533304i
\(519\) 12.6814 3.72360i 0.556653 0.163448i
\(520\) −3.21619 2.29024i −0.141039 0.100434i
\(521\) −0.173808 3.64868i −0.00761466 0.159851i −0.999472 0.0324964i \(-0.989654\pi\)
0.991857 0.127355i \(-0.0406488\pi\)
\(522\) −2.35778 + 2.24814i −0.103197 + 0.0983985i
\(523\) 1.06866 0.840404i 0.0467293 0.0367483i −0.594521 0.804080i \(-0.702658\pi\)
0.641250 + 0.767332i \(0.278416\pi\)
\(524\) −10.2137 4.66446i −0.446189 0.203768i
\(525\) −10.8388 + 6.18167i −0.473046 + 0.269790i
\(526\) 2.06380 3.21133i 0.0899858 0.140021i
\(527\) −29.0619 10.0584i −1.26596 0.438151i
\(528\) −5.68033 + 9.83863i −0.247205 + 0.428171i
\(529\) 3.09446 22.7909i 0.134542 0.990908i
\(530\) −1.81754 + 1.04936i −0.0789491 + 0.0455813i
\(531\) −1.38606 + 1.20102i −0.0601497 + 0.0521200i
\(532\) −1.58505 + 3.42280i −0.0687208 + 0.148397i
\(533\) −0.215014 + 1.49545i −0.00931327 + 0.0647752i
\(534\) 0.493211 + 5.16514i 0.0213433 + 0.223518i
\(535\) −1.91510 + 4.78369i −0.0827970 + 0.206817i
\(536\) 3.29270 + 3.45328i 0.142223 + 0.149159i
\(537\) −7.33995 + 14.2375i −0.316742 + 0.614394i
\(538\) 2.78217 1.27058i 0.119948 0.0547785i
\(539\) −24.2575 + 0.898693i −1.04484 + 0.0387094i
\(540\) −0.755715 0.654831i −0.0325208 0.0281794i
\(541\) 5.69833 + 1.09826i 0.244990 + 0.0472180i 0.310268 0.950649i \(-0.399581\pi\)
−0.0652776 + 0.997867i \(0.520793\pi\)
\(542\) −5.51269 1.33736i −0.236790 0.0574447i
\(543\) 1.89061 19.7993i 0.0811337 0.849671i
\(544\) 18.0588 + 9.30996i 0.774264 + 0.399161i
\(545\) −3.03271 + 10.3285i −0.129907 + 0.442423i
\(546\) −4.85999 + 1.39917i −0.207988 + 0.0598788i
\(547\) 11.7675 25.7673i 0.503143 1.10173i −0.472293 0.881442i \(-0.656573\pi\)
0.975435 0.220287i \(-0.0706993\pi\)
\(548\) 8.36565 + 20.8964i 0.357363 + 0.892649i
\(549\) 6.19347 3.19296i 0.264331 0.136272i
\(550\) 1.08626 + 5.63607i 0.0463184 + 0.240323i
\(551\) −3.52556 6.10646i −0.150194 0.260144i
\(552\) −6.40255 + 1.26007i −0.272511 + 0.0536321i
\(553\) −21.0105 27.0095i −0.893457 1.14856i
\(554\) 0.728638 + 0.840894i 0.0309569 + 0.0357261i
\(555\) −0.0371816 + 0.780537i −0.00157827 + 0.0331320i
\(556\) 26.9460 34.2646i 1.14276 1.45314i
\(557\) 27.3818 19.4985i 1.16020 0.826176i 0.172886 0.984942i \(-0.444691\pi\)
0.987316 + 0.158765i \(0.0507513\pi\)
\(558\) −1.27122 1.61649i −0.0538150 0.0684313i
\(559\) 17.0075 + 4.99384i 0.719339 + 0.211217i
\(560\) 4.53921 0.850008i 0.191817 0.0359194i
\(561\) 7.56073 + 16.5557i 0.319214 + 0.698982i
\(562\) 3.47969 3.64939i 0.146782 0.153940i
\(563\) −8.62444 24.9187i −0.363477 1.05020i −0.967422 0.253171i \(-0.918527\pi\)
0.603945 0.797026i \(-0.293595\pi\)
\(564\) 2.69585 + 7.78913i 0.113516 + 0.327982i
\(565\) −0.326605 + 0.342533i −0.0137404 + 0.0144105i
\(566\) −2.01326 4.40842i −0.0846236 0.185300i
\(567\) −2.60055 + 0.486976i −0.109213 + 0.0204511i
\(568\) −9.30330 2.73170i −0.390358 0.114619i
\(569\) 26.7146 + 33.9704i 1.11994 + 1.42411i 0.892915 + 0.450224i \(0.148656\pi\)
0.227020 + 0.973890i \(0.427102\pi\)
\(570\) −0.115705 + 0.0823932i −0.00484635 + 0.00345107i
\(571\) −6.20281 + 7.88752i −0.259580 + 0.330082i −0.898321 0.439339i \(-0.855213\pi\)
0.638742 + 0.769421i \(0.279455\pi\)
\(572\) 1.68664 35.4069i 0.0705220 1.48044i
\(573\) 17.2271 + 19.8811i 0.719672 + 0.830545i
\(574\) 0.158155 + 0.203313i 0.00660128 + 0.00848611i
\(575\) 13.9115 17.8335i 0.580150 0.743709i
\(576\) −2.59680 4.49779i −0.108200 0.187408i
\(577\) −5.07691 26.3415i −0.211355 1.09661i −0.920260 0.391308i \(-0.872023\pi\)
0.708905 0.705304i \(-0.249189\pi\)
\(578\) 3.29012 1.69617i 0.136851 0.0705515i
\(579\) 2.11248 + 5.27671i 0.0877916 + 0.219293i
\(580\) −3.85587 + 8.44317i −0.160106 + 0.350584i
\(581\) −10.7880 + 3.10583i −0.447564 + 0.128851i
\(582\) −0.388308 + 1.32246i −0.0160959 + 0.0548176i
\(583\) −34.5939 17.8344i −1.43273 0.738624i
\(584\) 2.08128 21.7962i 0.0861240 0.901932i
\(585\) 2.82001 + 0.684127i 0.116593 + 0.0282852i
\(586\) 1.33575 + 0.257445i 0.0551795 + 0.0106350i
\(587\) 21.8205 + 18.9076i 0.900629 + 0.780400i 0.976230 0.216739i \(-0.0695419\pi\)
−0.0756005 + 0.997138i \(0.524087\pi\)
\(588\) 6.14315 11.6130i 0.253339 0.478913i
\(589\) 4.04874 1.84900i 0.166825 0.0761866i
\(590\) 0.157147 0.304822i 0.00646962 0.0125493i
\(591\) −10.3505 10.8553i −0.425762 0.446526i
\(592\) −1.78581 + 4.46075i −0.0733965 + 0.183336i
\(593\) 1.67755 + 17.5681i 0.0688887 + 0.721435i 0.962263 + 0.272122i \(0.0877253\pi\)
−0.893374 + 0.449314i \(0.851669\pi\)
\(594\) −0.173205 + 1.20467i −0.00710669 + 0.0494281i
\(595\) 3.10896 6.71356i 0.127455 0.275229i
\(596\) 2.23243 1.93441i 0.0914438 0.0792365i
\(597\) −5.41038 + 3.12369i −0.221432 + 0.127844i
\(598\) 7.18368 5.69508i 0.293763 0.232889i
\(599\) −15.8246 + 27.4090i −0.646576 + 1.11990i 0.337359 + 0.941376i \(0.390466\pi\)
−0.983935 + 0.178527i \(0.942867\pi\)
\(600\) −6.06400 2.09877i −0.247562 0.0856820i
\(601\) −19.6546 + 30.5831i −0.801726 + 1.24751i 0.163616 + 0.986524i \(0.447684\pi\)
−0.965343 + 0.260986i \(0.915952\pi\)
\(602\) 2.62511 1.49717i 0.106992 0.0610200i
\(603\) −3.18991 1.45678i −0.129903 0.0593247i
\(604\) 2.39378 1.88249i 0.0974016 0.0765975i
\(605\) 0.395299 0.376917i 0.0160712 0.0153239i
\(606\) −0.0371865 0.780641i −0.00151060 0.0317114i
\(607\) 9.12262 + 6.49619i 0.370276 + 0.263672i 0.750014 0.661422i \(-0.230047\pi\)
−0.379739 + 0.925094i \(0.623986\pi\)
\(608\) −2.82145 + 0.828451i −0.114425 + 0.0335981i
\(609\) 11.1380 + 21.8880i 0.451336 + 0.886945i
\(610\) −0.853265 + 0.984720i −0.0345477 + 0.0398701i
\(611\) −17.3111 16.5061i −0.700332 0.667765i
\(612\) −9.80593 0.936353i −0.396381 0.0378498i
\(613\) 22.1692 1.05605i 0.895407 0.0426535i 0.405169 0.914242i \(-0.367213\pi\)
0.490238 + 0.871589i \(0.336910\pi\)
\(614\) 3.71127 0.900343i 0.149774 0.0363349i
\(615\) −0.0210335 0.146291i −0.000848151 0.00589902i
\(616\) −8.56672 9.08011i −0.345163 0.365848i
\(617\) −4.92415 0.707986i −0.198239 0.0285024i 0.0424801 0.999097i \(-0.486474\pi\)
−0.240719 + 0.970595i \(0.577383\pi\)
\(618\) −2.86409 0.136434i −0.115211 0.00548816i
\(619\) 25.2671 4.86984i 1.01557 0.195735i 0.345805 0.938307i \(-0.387606\pi\)
0.669767 + 0.742571i \(0.266394\pi\)
\(620\) −5.07418 2.92958i −0.203784 0.117655i
\(621\) 4.02430 2.60864i 0.161490 0.104681i
\(622\) 8.29041i 0.332415i
\(623\) 38.3679 + 7.60531i 1.53718 + 0.304700i
\(624\) 15.0106 + 9.64671i 0.600904 + 0.386177i
\(625\) 19.3310 7.73897i 0.773241 0.309559i
\(626\) 2.74913 + 3.86061i 0.109877 + 0.154301i
\(627\) −2.44548 0.979023i −0.0976631 0.0390984i
\(628\) 6.93773 + 28.5977i 0.276845 + 1.14117i
\(629\) 4.16173 + 6.47578i 0.165939 + 0.258206i
\(630\) 0.417604 0.265270i 0.0166377 0.0105686i
\(631\) −5.25921 17.9112i −0.209366 0.713034i −0.995482 0.0949550i \(-0.969729\pi\)
0.786116 0.618079i \(-0.212089\pi\)
\(632\) 3.33044 17.2799i 0.132478 0.687359i
\(633\) −3.98550 + 1.37940i −0.158409 + 0.0548260i
\(634\) 2.01506 8.30617i 0.0800281 0.329880i
\(635\) −0.154187 + 0.216525i −0.00611872 + 0.00859254i
\(636\) 17.7208 11.3884i 0.702674 0.451581i
\(637\) −0.402926 + 38.1229i −0.0159645 + 1.51048i
\(638\) 11.1822 1.60776i 0.442707 0.0636517i
\(639\) 7.09387 0.677382i 0.280629 0.0267968i
\(640\) 4.00581 + 3.15020i 0.158343 + 0.124523i
\(641\) −0.570958 1.10750i −0.0225515 0.0437438i 0.877291 0.479960i \(-0.159349\pi\)
−0.899842 + 0.436216i \(0.856318\pi\)
\(642\) −1.11017 + 3.20762i −0.0438149 + 0.126595i
\(643\) 13.9232 0.549078 0.274539 0.961576i \(-0.411475\pi\)
0.274539 + 0.961576i \(0.411475\pi\)
\(644\) −2.29592 + 23.7033i −0.0904720 + 0.934040i
\(645\) −1.73397 −0.0682752
\(646\) −0.457655 + 1.32231i −0.0180062 + 0.0520255i
\(647\) 20.9991 + 40.7326i 0.825560 + 1.60136i 0.798705 + 0.601723i \(0.205519\pi\)
0.0268548 + 0.999639i \(0.491451\pi\)
\(648\) −1.06953 0.841088i −0.0420151 0.0330410i
\(649\) 6.33107 0.604544i 0.248516 0.0237304i
\(650\) 8.92319 1.28296i 0.349996 0.0503219i
\(651\) −14.4224 + 5.68560i −0.565256 + 0.222836i
\(652\) 26.1023 16.7749i 1.02224 0.656956i
\(653\) 0.713085 1.00139i 0.0279052 0.0391873i −0.800388 0.599483i \(-0.795373\pi\)
0.828293 + 0.560295i \(0.189312\pi\)
\(654\) −1.67175 + 6.89103i −0.0653705 + 0.269461i
\(655\) −3.01221 + 1.04254i −0.117697 + 0.0407352i
\(656\) 0.171989 0.892364i 0.00671505 0.0348410i
\(657\) 4.53364 + 15.4402i 0.176874 + 0.602378i
\(658\) −4.07436 + 0.172511i −0.158835 + 0.00672519i
\(659\) −6.97380 10.8514i −0.271661 0.422712i 0.678440 0.734656i \(-0.262656\pi\)
−0.950101 + 0.311944i \(0.899020\pi\)
\(660\) 0.817511 + 3.36983i 0.0318216 + 0.131170i
\(661\) 39.0214 + 15.6218i 1.51776 + 0.607618i 0.972965 0.230954i \(-0.0741845\pi\)
0.544792 + 0.838572i \(0.316609\pi\)
\(662\) −5.29079 7.42988i −0.205632 0.288770i
\(663\) 26.5380 10.6242i 1.03065 0.412611i
\(664\) −4.85683 3.12129i −0.188481 0.121130i
\(665\) 0.344869 + 1.01374i 0.0133735 + 0.0393110i
\(666\) 0.514747i 0.0199460i
\(667\) −33.7577 29.0200i −1.30710 1.12366i
\(668\) −30.2420 17.4602i −1.17010 0.675556i
\(669\) 5.36628 1.03427i 0.207472 0.0399870i
\(670\) 0.655001 + 0.0312015i 0.0253049 + 0.00120542i
\(671\) −23.9175 3.43881i −0.923323 0.132754i
\(672\) 9.96580 2.36199i 0.384439 0.0911156i
\(673\) −5.15872 35.8797i −0.198854 1.38306i −0.807617 0.589707i \(-0.799243\pi\)
0.608763 0.793352i \(-0.291666\pi\)
\(674\) 2.69614 0.654077i 0.103851 0.0251941i
\(675\) 4.71079 0.224403i 0.181318 0.00863726i
\(676\) −31.1330 2.97284i −1.19742 0.114340i
\(677\) 23.0896 + 22.0159i 0.887404 + 0.846138i 0.988882 0.148699i \(-0.0475087\pi\)
−0.101478 + 0.994838i \(0.532357\pi\)
\(678\) −0.204165 + 0.235619i −0.00784091 + 0.00904889i
\(679\) 8.71097 + 5.66347i 0.334297 + 0.217344i
\(680\) 3.65070 1.07194i 0.139998 0.0411071i
\(681\) 4.89075 + 3.48269i 0.187414 + 0.133457i
\(682\) 0.339318 + 7.12317i 0.0129932 + 0.272760i
\(683\) −13.0837 + 12.4753i −0.500633 + 0.477353i −0.897806 0.440391i \(-0.854840\pi\)
0.397173 + 0.917744i \(0.369991\pi\)
\(684\) 1.12066 0.881297i 0.0428495 0.0336972i
\(685\) 5.81233 + 2.65440i 0.222078 + 0.101419i
\(686\) 4.63256 + 4.55951i 0.176872 + 0.174083i
\(687\) 0.355396 0.553008i 0.0135592 0.0210986i
\(688\) −10.0757 3.48724i −0.384134 0.132950i
\(689\) −30.5643 + 52.9389i −1.16441 + 2.01681i
\(690\) −0.517313 + 0.732531i −0.0196938 + 0.0278870i
\(691\) −17.6991 + 10.2186i −0.673305 + 0.388733i −0.797328 0.603546i \(-0.793754\pi\)
0.124022 + 0.992279i \(0.460421\pi\)
\(692\) 18.7468 16.2442i 0.712647 0.617512i
\(693\) 8.32539 + 3.85538i 0.316255 + 0.146454i
\(694\) 0.743436 5.17071i 0.0282204 0.196277i
\(695\) −1.17627 12.3185i −0.0446185 0.467266i
\(696\) −4.69407 + 11.7252i −0.177928 + 0.444443i
\(697\) −1.00471 1.05371i −0.0380560 0.0399119i
\(698\) 0.907837 1.76096i 0.0343622 0.0666533i
\(699\) −6.08812 + 2.78035i −0.230274 + 0.105163i
\(700\) −13.6847 + 19.0041i −0.517231 + 0.718286i
\(701\) 8.81511 + 7.63833i 0.332942 + 0.288496i 0.805247 0.592939i \(-0.202033\pi\)
−0.472305 + 0.881435i \(0.656578\pi\)
\(702\) 1.87697 + 0.361756i 0.0708416 + 0.0136536i
\(703\) −1.08270 0.262661i −0.0408350 0.00990646i
\(704\) −1.71196 + 17.9285i −0.0645220 + 0.675705i
\(705\) 2.07975 + 1.07219i 0.0783281 + 0.0403809i
\(706\) −1.98113 + 6.74711i −0.0745608 + 0.253931i
\(707\) −5.71803 1.41921i −0.215049 0.0533750i
\(708\) −1.42991 + 3.13106i −0.0537392 + 0.117673i
\(709\) −5.82108 14.5403i −0.218615 0.546074i 0.778002 0.628262i \(-0.216233\pi\)
−0.996617 + 0.0821880i \(0.973809\pi\)
\(710\) −1.18440 + 0.610599i −0.0444496 + 0.0229154i
\(711\) 2.44771 + 12.6999i 0.0917963 + 0.476285i
\(712\) 10.0577 + 17.4205i 0.376929 + 0.652860i
\(713\) 20.2613 19.4715i 0.758790 0.729212i
\(714\) 1.83522 4.51487i 0.0686814 0.168965i
\(715\) −6.58966 7.60487i −0.246439 0.284406i
\(716\) −1.43047 + 30.0292i −0.0534591 + 1.12224i
\(717\) 15.3624 19.5348i 0.573718 0.729542i
\(718\) −9.39703 + 6.69160i −0.350694 + 0.249728i
\(719\) 18.6773 + 23.7501i 0.696544 + 0.885728i 0.997696 0.0678484i \(-0.0216134\pi\)
−0.301152 + 0.953576i \(0.597371\pi\)
\(720\) −1.67478 0.491759i −0.0624153 0.0183268i
\(721\) −7.17755 + 20.3889i −0.267306 + 0.759323i
\(722\) 2.68601 + 5.88153i 0.0999628 + 0.218888i
\(723\) −19.8734 + 20.8426i −0.739100 + 0.775145i
\(724\) −12.2091 35.2758i −0.453747 1.31102i
\(725\) −14.3180 41.3693i −0.531759 1.53642i
\(726\) 0.248287 0.260396i 0.00921479 0.00966420i
\(727\) −17.6141 38.5694i −0.653270 1.43046i −0.888663 0.458561i \(-0.848365\pi\)
0.235393 0.971900i \(-0.424362\pi\)
\(728\) −14.8853 + 12.7611i −0.551686 + 0.472958i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −1.86008 2.36529i −0.0688447 0.0875432i
\(731\) −13.9141 + 9.90816i −0.514630 + 0.366467i
\(732\) 8.08419 10.2799i 0.298800 0.379955i
\(733\) 1.77474 37.2564i 0.0655515 1.37610i −0.691328 0.722541i \(-0.742974\pi\)
0.756879 0.653555i \(-0.226723\pi\)
\(734\) −4.08220 4.71112i −0.150677 0.173890i
\(735\) −1.01285 3.58937i −0.0373597 0.132396i
\(736\) −15.0802 + 10.8280i −0.555864 + 0.399126i
\(737\) 6.08034 + 10.5314i 0.223972 + 0.387931i
\(738\) −0.0184250 0.0955980i −0.000678234 0.00351901i
\(739\) 38.9205 20.0649i 1.43171 0.738100i 0.444244 0.895906i \(-0.353472\pi\)
0.987470 + 0.157806i \(0.0504420\pi\)
\(740\) 0.545077 + 1.36154i 0.0200374 + 0.0500511i
\(741\) −1.71867 + 3.76337i −0.0631370 + 0.138251i
\(742\) 2.88330 + 10.0151i 0.105849 + 0.367666i
\(743\) 7.19577 24.5066i 0.263987 0.899058i −0.715680 0.698429i \(-0.753883\pi\)
0.979667 0.200630i \(-0.0642988\pi\)
\(744\) −7.08627 3.65322i −0.259795 0.133934i
\(745\) 0.0797100 0.834761i 0.00292035 0.0305833i
\(746\) 10.3694 + 2.51559i 0.379650 + 0.0921022i
\(747\) 4.16644 + 0.803015i 0.152442 + 0.0293808i
\(748\) 25.8156 + 22.3694i 0.943913 + 0.817906i
\(749\) 20.7646 + 14.9524i 0.758721 + 0.546348i
\(750\) −1.65265 + 0.754740i −0.0603463 + 0.0275592i
\(751\) 8.94389 17.3487i 0.326367 0.633064i −0.667380 0.744717i \(-0.732584\pi\)
0.993747 + 0.111653i \(0.0356146\pi\)
\(752\) 9.92867 + 10.4129i 0.362061 + 0.379719i
\(753\) 1.62748 4.06524i 0.0593086 0.148146i
\(754\) −1.68662 17.6631i −0.0614230 0.643250i
\(755\) 0.123032 0.855703i 0.00447758 0.0311422i
\(756\) −4.06003 + 2.85892i −0.147662 + 0.103978i
\(757\) 10.5129 9.10948i 0.382098 0.331090i −0.442542 0.896748i \(-0.645923\pi\)
0.824640 + 0.565658i \(0.191378\pi\)
\(758\) 4.37803 2.52766i 0.159017 0.0918087i
\(759\) −16.6148 0.726120i −0.603079 0.0263565i
\(760\) −0.275338 + 0.476900i −0.00998758 + 0.0172990i
\(761\) 34.0806 + 11.7954i 1.23542 + 0.427583i 0.865231 0.501373i \(-0.167172\pi\)
0.370189 + 0.928956i \(0.379293\pi\)
\(762\) −0.0946660 + 0.147303i −0.00342939 + 0.00533623i
\(763\) 46.1513 + 26.9716i 1.67079 + 0.976438i
\(764\) 44.9109 + 20.5101i 1.62482 + 0.742030i
\(765\) −2.19809 + 1.72860i −0.0794721 + 0.0624975i
\(766\) −1.35058 + 1.28777i −0.0487983 + 0.0465291i
\(767\) −0.475288 9.97752i −0.0171616 0.360267i
\(768\) −5.72667 4.07795i −0.206644 0.147150i
\(769\) −15.2684 + 4.48322i −0.550594 + 0.161669i −0.545184 0.838316i \(-0.683540\pi\)
−0.00540982 + 0.999985i \(0.501722\pi\)
\(770\) −1.71320 0.0906860i −0.0617395 0.00326810i
\(771\) 2.50860 2.89507i 0.0903449 0.104264i
\(772\) 7.72050 + 7.36149i 0.277867 + 0.264946i