Properties

Label 770.2.bv.a.537.20
Level $770$
Weight $2$
Character 770.537
Analytic conductor $6.148$
Analytic rank $0$
Dimension $768$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bv (of order \(60\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(48\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 537.20
Character \(\chi\) \(=\) 770.537
Dual form 770.2.bv.a.423.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0523360 + 0.998630i) q^{2} +(0.752251 + 1.95968i) q^{3} +(-0.994522 - 0.104528i) q^{4} +(0.432112 + 2.19392i) q^{5} +(-1.99636 + 0.648658i) q^{6} +(2.50628 - 0.847671i) q^{7} +(0.156434 - 0.987688i) q^{8} +(-1.04503 + 0.940951i) q^{9} +O(q^{10})\) \(q+(-0.0523360 + 0.998630i) q^{2} +(0.752251 + 1.95968i) q^{3} +(-0.994522 - 0.104528i) q^{4} +(0.432112 + 2.19392i) q^{5} +(-1.99636 + 0.648658i) q^{6} +(2.50628 - 0.847671i) q^{7} +(0.156434 - 0.987688i) q^{8} +(-1.04503 + 0.940951i) q^{9} +(-2.21353 + 0.316699i) q^{10} +(0.421151 + 3.28978i) q^{11} +(-0.543288 - 2.02758i) q^{12} +(-3.67653 + 1.87329i) q^{13} +(0.715341 + 2.54721i) q^{14} +(-3.97432 + 2.49718i) q^{15} +(0.978148 + 0.207912i) q^{16} +(-0.220531 - 4.20798i) q^{17} +(-0.884969 - 1.09285i) q^{18} +(0.441745 + 4.20292i) q^{19} +(-0.200418 - 2.22707i) q^{20} +(3.54652 + 4.27385i) q^{21} +(-3.30731 + 0.248400i) q^{22} +(0.0879899 + 0.328383i) q^{23} +(2.05323 - 0.436428i) q^{24} +(-4.62656 + 1.89604i) q^{25} +(-1.67830 - 3.76953i) q^{26} +(2.98085 + 1.51882i) q^{27} +(-2.58116 + 0.581050i) q^{28} +(1.61696 - 2.22556i) q^{29} +(-2.28576 - 4.09957i) q^{30} +(-0.111571 - 0.524901i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-6.13010 + 3.30006i) q^{33} +4.21375 q^{34} +(2.94272 + 5.13229i) q^{35} +(1.13766 - 0.826561i) q^{36} +(10.2083 + 3.91858i) q^{37} +(-4.22028 + 0.221176i) q^{38} +(-6.43672 - 5.79565i) q^{39} +(2.23451 - 0.0835871i) q^{40} +(-6.66075 - 9.16774i) q^{41} +(-4.45361 + 3.31798i) q^{42} +(-1.34185 + 1.34185i) q^{43} +(-0.0749684 - 3.31578i) q^{44} +(-2.51594 - 1.88612i) q^{45} +(-0.332538 + 0.0706831i) q^{46} +(-7.98761 - 6.46824i) q^{47} +(0.328372 + 2.07326i) q^{48} +(5.56291 - 4.24901i) q^{49} +(-1.65130 - 4.71945i) q^{50} +(8.08040 - 3.59762i) q^{51} +(3.85220 - 1.47872i) q^{52} +(-4.58705 + 7.06344i) q^{53} +(-1.67274 + 2.89728i) q^{54} +(-7.03552 + 2.34552i) q^{55} +(-0.445166 - 2.60803i) q^{56} +(-7.90408 + 4.02733i) q^{57} +(2.13788 + 1.73122i) q^{58} +(0.712147 - 6.77562i) q^{59} +(4.21358 - 2.06807i) q^{60} +(1.70159 - 8.00534i) q^{61} +(0.530020 - 0.0839470i) q^{62} +(-1.82153 + 3.24413i) q^{63} +(-0.951057 - 0.309017i) q^{64} +(-5.69851 - 7.25654i) q^{65} +(-2.97471 - 6.29441i) q^{66} +(-1.55099 + 5.78837i) q^{67} +(-0.220531 + 4.20798i) q^{68} +(-0.577335 + 0.419458i) q^{69} +(-5.27927 + 2.67008i) q^{70} +(1.64543 + 5.06410i) q^{71} +(0.765887 + 1.17936i) q^{72} +(5.65049 - 4.57568i) q^{73} +(-4.44747 + 9.98919i) q^{74} +(-7.19596 - 7.64028i) q^{75} -4.22607i q^{76} +(3.84417 + 7.88811i) q^{77} +(6.12458 - 6.12458i) q^{78} +(9.43552 - 8.49578i) q^{79} +(-0.0334724 + 2.23582i) q^{80} +(-1.17503 + 11.1796i) q^{81} +(9.50377 - 6.17182i) q^{82} +(0.105502 - 0.207060i) q^{83} +(-3.08035 - 4.62115i) q^{84} +(9.13667 - 2.30214i) q^{85} +(-1.26978 - 1.41023i) q^{86} +(5.57775 + 1.49455i) q^{87} +(3.31516 + 0.0986687i) q^{88} +(5.17427 - 8.96210i) q^{89} +(2.01521 - 2.41378i) q^{90} +(-7.62650 + 7.81148i) q^{91} +(-0.0531825 - 0.335781i) q^{92} +(0.944708 - 0.613501i) q^{93} +(6.87741 - 7.63814i) q^{94} +(-9.02999 + 2.78528i) q^{95} +(-2.08760 + 0.219416i) q^{96} +(4.60392 + 9.03571i) q^{97} +(3.95205 + 5.77766i) q^{98} +(-3.53563 - 3.04164i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768 q + 24 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 768 q + 24 q^{5} + 4 q^{7} + 24 q^{10} + 12 q^{11} - 24 q^{15} - 96 q^{16} + 8 q^{22} + 8 q^{23} + 16 q^{25} - 24 q^{26} - 28 q^{28} - 16 q^{30} + 252 q^{33} - 40 q^{35} + 160 q^{36} - 8 q^{37} - 44 q^{42} + 80 q^{43} + 96 q^{45} - 8 q^{46} - 24 q^{47} + 64 q^{50} - 8 q^{51} + 40 q^{53} + 16 q^{56} + 64 q^{57} - 48 q^{58} - 164 q^{63} - 88 q^{65} + 32 q^{67} - 100 q^{70} + 32 q^{71} + 120 q^{73} - 336 q^{75} - 96 q^{77} - 36 q^{80} - 24 q^{81} + 48 q^{82} - 112 q^{85} - 24 q^{87} + 4 q^{88} - 12 q^{91} - 16 q^{92} - 88 q^{93} - 44 q^{95} + 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{3}{5}\right)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0523360 + 0.998630i −0.0370071 + 0.706138i
\(3\) 0.752251 + 1.95968i 0.434312 + 1.13142i 0.959816 + 0.280631i \(0.0905436\pi\)
−0.525504 + 0.850791i \(0.676123\pi\)
\(4\) −0.994522 0.104528i −0.497261 0.0522642i
\(5\) 0.432112 + 2.19392i 0.193246 + 0.981150i
\(6\) −1.99636 + 0.648658i −0.815012 + 0.264814i
\(7\) 2.50628 0.847671i 0.947286 0.320390i
\(8\) 0.156434 0.987688i 0.0553079 0.349201i
\(9\) −1.04503 + 0.940951i −0.348344 + 0.313650i
\(10\) −2.21353 + 0.316699i −0.699979 + 0.100149i
\(11\) 0.421151 + 3.28978i 0.126982 + 0.991905i
\(12\) −0.543288 2.02758i −0.156834 0.585311i
\(13\) −3.67653 + 1.87329i −1.01969 + 0.519556i −0.882164 0.470942i \(-0.843914\pi\)
−0.137523 + 0.990499i \(0.543914\pi\)
\(14\) 0.715341 + 2.54721i 0.191183 + 0.680771i
\(15\) −3.97432 + 2.49718i −1.02617 + 0.644769i
\(16\) 0.978148 + 0.207912i 0.244537 + 0.0519779i
\(17\) −0.220531 4.20798i −0.0534866 1.02058i −0.885150 0.465305i \(-0.845945\pi\)
0.831664 0.555279i \(-0.187389\pi\)
\(18\) −0.884969 1.09285i −0.208589 0.257586i
\(19\) 0.441745 + 4.20292i 0.101343 + 0.964216i 0.920525 + 0.390683i \(0.127761\pi\)
−0.819182 + 0.573534i \(0.805572\pi\)
\(20\) −0.200418 2.22707i −0.0448147 0.497988i
\(21\) 3.54652 + 4.27385i 0.773914 + 0.932631i
\(22\) −3.30731 + 0.248400i −0.705121 + 0.0529591i
\(23\) 0.0879899 + 0.328383i 0.0183472 + 0.0684725i 0.974492 0.224420i \(-0.0720488\pi\)
−0.956145 + 0.292893i \(0.905382\pi\)
\(24\) 2.05323 0.436428i 0.419114 0.0890855i
\(25\) −4.62656 + 1.89604i −0.925312 + 0.379207i
\(26\) −1.67830 3.76953i −0.329143 0.739266i
\(27\) 2.98085 + 1.51882i 0.573665 + 0.292297i
\(28\) −2.58116 + 0.581050i −0.487793 + 0.109808i
\(29\) 1.61696 2.22556i 0.300263 0.413276i −0.632051 0.774927i \(-0.717787\pi\)
0.932314 + 0.361651i \(0.117787\pi\)
\(30\) −2.28576 4.09957i −0.417320 0.748475i
\(31\) −0.111571 0.524901i −0.0200388 0.0942749i 0.966992 0.254808i \(-0.0820121\pi\)
−0.987031 + 0.160533i \(0.948679\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) −6.13010 + 3.30006i −1.06711 + 0.574466i
\(34\) 4.21375 0.722653
\(35\) 2.94272 + 5.13229i 0.497410 + 0.867516i
\(36\) 1.13766 0.826561i 0.189611 0.137760i
\(37\) 10.2083 + 3.91858i 1.67823 + 0.644211i 0.996198 0.0871138i \(-0.0277644\pi\)
0.682029 + 0.731325i \(0.261098\pi\)
\(38\) −4.22028 + 0.221176i −0.684620 + 0.0358794i
\(39\) −6.43672 5.79565i −1.03070 0.928046i
\(40\) 2.23451 0.0835871i 0.353306 0.0132163i
\(41\) −6.66075 9.16774i −1.04024 1.43176i −0.896978 0.442075i \(-0.854242\pi\)
−0.143257 0.989686i \(-0.545758\pi\)
\(42\) −4.45361 + 3.31798i −0.687206 + 0.511976i
\(43\) −1.34185 + 1.34185i −0.204629 + 0.204629i −0.801980 0.597351i \(-0.796220\pi\)
0.597351 + 0.801980i \(0.296220\pi\)
\(44\) −0.0749684 3.31578i −0.0113019 0.499872i
\(45\) −2.51594 1.88612i −0.375054 0.281166i
\(46\) −0.332538 + 0.0706831i −0.0490300 + 0.0104216i
\(47\) −7.98761 6.46824i −1.16511 0.943490i −0.166022 0.986122i \(-0.553092\pi\)
−0.999091 + 0.0426324i \(0.986426\pi\)
\(48\) 0.328372 + 2.07326i 0.0473964 + 0.299249i
\(49\) 5.56291 4.24901i 0.794701 0.607001i
\(50\) −1.65130 4.71945i −0.233529 0.667431i
\(51\) 8.08040 3.59762i 1.13148 0.503768i
\(52\) 3.85220 1.47872i 0.534205 0.205062i
\(53\) −4.58705 + 7.06344i −0.630080 + 0.970238i 0.369086 + 0.929395i \(0.379671\pi\)
−0.999166 + 0.0408424i \(0.986996\pi\)
\(54\) −1.67274 + 2.89728i −0.227632 + 0.394270i
\(55\) −7.03552 + 2.34552i −0.948669 + 0.316270i
\(56\) −0.445166 2.60803i −0.0594878 0.348513i
\(57\) −7.90408 + 4.02733i −1.04692 + 0.533433i
\(58\) 2.13788 + 1.73122i 0.280718 + 0.227321i
\(59\) 0.712147 6.77562i 0.0927136 0.882111i −0.845015 0.534742i \(-0.820409\pi\)
0.937729 0.347368i \(-0.112925\pi\)
\(60\) 4.21358 2.06807i 0.543971 0.266986i
\(61\) 1.70159 8.00534i 0.217866 1.02498i −0.724210 0.689579i \(-0.757795\pi\)
0.942076 0.335399i \(-0.108871\pi\)
\(62\) 0.530020 0.0839470i 0.0673127 0.0106613i
\(63\) −1.82153 + 3.24413i −0.229491 + 0.408722i
\(64\) −0.951057 0.309017i −0.118882 0.0386271i
\(65\) −5.69851 7.25654i −0.706813 0.900063i
\(66\) −2.97471 6.29441i −0.366162 0.774788i
\(67\) −1.55099 + 5.78837i −0.189483 + 0.707162i 0.804143 + 0.594436i \(0.202625\pi\)
−0.993626 + 0.112726i \(0.964042\pi\)
\(68\) −0.220531 + 4.20798i −0.0267433 + 0.510292i
\(69\) −0.577335 + 0.419458i −0.0695029 + 0.0504968i
\(70\) −5.27927 + 2.67008i −0.630993 + 0.319136i
\(71\) 1.64543 + 5.06410i 0.195276 + 0.600998i 0.999973 + 0.00731266i \(0.00232771\pi\)
−0.804697 + 0.593686i \(0.797672\pi\)
\(72\) 0.765887 + 1.17936i 0.0902607 + 0.138989i
\(73\) 5.65049 4.57568i 0.661340 0.535543i −0.238841 0.971059i \(-0.576767\pi\)
0.900181 + 0.435516i \(0.143434\pi\)
\(74\) −4.44747 + 9.98919i −0.517008 + 1.16122i
\(75\) −7.19596 7.64028i −0.830918 0.882224i
\(76\) 4.22607i 0.484764i
\(77\) 3.84417 + 7.88811i 0.438084 + 0.898934i
\(78\) 6.12458 6.12458i 0.693472 0.693472i
\(79\) 9.43552 8.49578i 1.06158 0.955850i 0.0624700 0.998047i \(-0.480102\pi\)
0.999109 + 0.0421965i \(0.0134356\pi\)
\(80\) −0.0334724 + 2.23582i −0.00374233 + 0.249972i
\(81\) −1.17503 + 11.1796i −0.130558 + 1.24218i
\(82\) 9.50377 6.17182i 1.04952 0.681564i
\(83\) 0.105502 0.207060i 0.0115804 0.0227278i −0.885144 0.465317i \(-0.845940\pi\)
0.896724 + 0.442590i \(0.145940\pi\)
\(84\) −3.08035 4.62115i −0.336094 0.504209i
\(85\) 9.13667 2.30214i 0.991011 0.249702i
\(86\) −1.26978 1.41023i −0.136924 0.152069i
\(87\) 5.57775 + 1.49455i 0.597997 + 0.160233i
\(88\) 3.31516 + 0.0986687i 0.353397 + 0.0105181i
\(89\) 5.17427 8.96210i 0.548472 0.949981i −0.449908 0.893075i \(-0.648543\pi\)
0.998380 0.0569059i \(-0.0181235\pi\)
\(90\) 2.01521 2.41378i 0.212422 0.254435i
\(91\) −7.62650 + 7.81148i −0.799474 + 0.818865i
\(92\) −0.0531825 0.335781i −0.00554466 0.0350076i
\(93\) 0.944708 0.613501i 0.0979617 0.0636170i
\(94\) 6.87741 7.63814i 0.709351 0.787814i
\(95\) −9.02999 + 2.78528i −0.926457 + 0.285764i
\(96\) −2.08760 + 0.219416i −0.213065 + 0.0223940i
\(97\) 4.60392 + 9.03571i 0.467458 + 0.917437i 0.997581 + 0.0695165i \(0.0221457\pi\)
−0.530123 + 0.847921i \(0.677854\pi\)
\(98\) 3.95205 + 5.77766i 0.399217 + 0.583632i
\(99\) −3.53563 3.04164i −0.355345 0.305696i
\(100\) 4.79940 1.40204i 0.479940 0.140204i
\(101\) 1.62180 + 7.62997i 0.161375 + 0.759210i 0.982171 + 0.187989i \(0.0601968\pi\)
−0.820796 + 0.571221i \(0.806470\pi\)
\(102\) 3.16980 + 8.25761i 0.313857 + 0.817625i
\(103\) 7.39820 + 2.83990i 0.728966 + 0.279824i 0.694411 0.719579i \(-0.255665\pi\)
0.0345553 + 0.999403i \(0.488999\pi\)
\(104\) 1.27509 + 3.92431i 0.125033 + 0.384811i
\(105\) −7.84399 + 9.62755i −0.765495 + 0.939553i
\(106\) −6.81369 4.95043i −0.661804 0.480829i
\(107\) 6.79031 8.38534i 0.656445 0.810641i −0.334855 0.942270i \(-0.608687\pi\)
0.991299 + 0.131628i \(0.0420205\pi\)
\(108\) −2.80576 1.82208i −0.269985 0.175330i
\(109\) −1.89080 + 1.09166i −0.181106 + 0.104562i −0.587812 0.808997i \(-0.700011\pi\)
0.406706 + 0.913559i \(0.366677\pi\)
\(110\) −1.97410 7.14863i −0.188223 0.681595i
\(111\) 22.9527i 2.17857i
\(112\) 2.62776 0.308062i 0.248300 0.0291091i
\(113\) −2.87667 + 18.1626i −0.270614 + 1.70859i 0.360381 + 0.932805i \(0.382647\pi\)
−0.630995 + 0.775787i \(0.717353\pi\)
\(114\) −3.60814 8.10402i −0.337934 0.759011i
\(115\) −0.682423 + 0.334941i −0.0636363 + 0.0312334i
\(116\) −1.84074 + 2.04435i −0.170908 + 0.189813i
\(117\) 2.07942 5.41708i 0.192243 0.500809i
\(118\) 6.72907 + 1.06578i 0.619461 + 0.0981129i
\(119\) −4.11969 10.3594i −0.377652 0.949649i
\(120\) 1.84471 + 4.31604i 0.168398 + 0.393999i
\(121\) −10.6453 + 2.77098i −0.967751 + 0.251908i
\(122\) 7.90531 + 2.11822i 0.715713 + 0.191775i
\(123\) 12.9553 19.9494i 1.16814 1.79878i
\(124\) 0.0560928 + 0.533688i 0.00503728 + 0.0479266i
\(125\) −6.15894 9.33100i −0.550872 0.834590i
\(126\) −3.14436 1.98882i −0.280121 0.177178i
\(127\) 3.24473 6.36815i 0.287924 0.565082i −0.701061 0.713101i \(-0.747290\pi\)
0.988984 + 0.148020i \(0.0472899\pi\)
\(128\) 0.358368 0.933580i 0.0316756 0.0825176i
\(129\) −3.63899 1.62018i −0.320395 0.142649i
\(130\) 7.54484 5.31092i 0.661726 0.465799i
\(131\) −0.720018 0.415702i −0.0629082 0.0363201i 0.468216 0.883614i \(-0.344897\pi\)
−0.531124 + 0.847294i \(0.678230\pi\)
\(132\) 6.44147 2.64121i 0.560658 0.229888i
\(133\) 4.66983 + 10.1593i 0.404926 + 0.880919i
\(134\) −5.69927 1.85180i −0.492342 0.159971i
\(135\) −2.04411 + 7.19605i −0.175929 + 0.619337i
\(136\) −4.19067 0.440457i −0.359347 0.0377689i
\(137\) −1.97532 + 0.103522i −0.168763 + 0.00884451i −0.136530 0.990636i \(-0.543595\pi\)
−0.0322328 + 0.999480i \(0.510262\pi\)
\(138\) −0.388668 0.598496i −0.0330856 0.0509474i
\(139\) 4.80445 + 3.49064i 0.407508 + 0.296072i 0.772592 0.634903i \(-0.218960\pi\)
−0.365084 + 0.930974i \(0.618960\pi\)
\(140\) −2.39013 5.41177i −0.202002 0.457378i
\(141\) 6.66700 20.5189i 0.561462 1.72800i
\(142\) −5.14328 + 1.37814i −0.431614 + 0.115651i
\(143\) −7.71107 11.3060i −0.644832 0.945458i
\(144\) −1.21783 + 0.703115i −0.101486 + 0.0585929i
\(145\) 5.58141 + 2.58580i 0.463511 + 0.214739i
\(146\) 4.27368 + 5.88222i 0.353693 + 0.486816i
\(147\) 12.5114 + 7.70520i 1.03192 + 0.635514i
\(148\) −9.74273 4.96417i −0.800848 0.408052i
\(149\) −2.57683 + 12.1230i −0.211102 + 0.993157i 0.737172 + 0.675705i \(0.236161\pi\)
−0.948274 + 0.317452i \(0.897173\pi\)
\(150\) 8.00642 6.78623i 0.653721 0.554094i
\(151\) 15.2181 + 6.77553i 1.23843 + 0.551385i 0.918261 0.395975i \(-0.129593\pi\)
0.320170 + 0.947360i \(0.396260\pi\)
\(152\) 4.22028 + 0.221176i 0.342310 + 0.0179397i
\(153\) 4.18996 + 4.18996i 0.338738 + 0.338738i
\(154\) −8.07849 + 3.42607i −0.650983 + 0.276081i
\(155\) 1.10338 0.471594i 0.0886255 0.0378793i
\(156\) 5.79565 + 6.43672i 0.464023 + 0.515350i
\(157\) −6.61573 + 2.53954i −0.527993 + 0.202677i −0.607738 0.794138i \(-0.707923\pi\)
0.0797449 + 0.996815i \(0.474589\pi\)
\(158\) 7.99032 + 9.86723i 0.635676 + 0.784994i
\(159\) −17.2927 3.67568i −1.37140 0.291500i
\(160\) −2.23100 0.150440i −0.176376 0.0118933i
\(161\) 0.498888 + 0.748433i 0.0393179 + 0.0589848i
\(162\) −11.1028 1.75851i −0.872319 0.138162i
\(163\) −7.74958 0.406138i −0.606994 0.0318112i −0.253636 0.967300i \(-0.581627\pi\)
−0.353357 + 0.935488i \(0.614960\pi\)
\(164\) 5.66598 + 9.81376i 0.442438 + 0.766326i
\(165\) −9.88895 12.0229i −0.769854 0.935985i
\(166\) 0.201255 + 0.116194i 0.0156204 + 0.00901843i
\(167\) 3.38135 + 6.63627i 0.261656 + 0.513530i 0.984037 0.177966i \(-0.0569519\pi\)
−0.722380 + 0.691496i \(0.756952\pi\)
\(168\) 4.77603 2.83428i 0.368479 0.218669i
\(169\) 2.36648 3.25718i 0.182037 0.250552i
\(170\) 1.82081 + 9.24463i 0.139650 + 0.709031i
\(171\) −4.41638 3.97653i −0.337729 0.304093i
\(172\) 1.47476 1.19423i 0.112449 0.0910594i
\(173\) 0.315778 0.389954i 0.0240082 0.0296476i −0.765000 0.644030i \(-0.777261\pi\)
0.789009 + 0.614382i \(0.210595\pi\)
\(174\) −1.78442 + 5.49189i −0.135277 + 0.416339i
\(175\) −9.98825 + 8.67380i −0.755041 + 0.655678i
\(176\) −0.272035 + 3.30545i −0.0205054 + 0.249158i
\(177\) 13.8138 3.70139i 1.03831 0.278213i
\(178\) 8.67902 + 5.63622i 0.650520 + 0.422453i
\(179\) 9.97066 22.3945i 0.745242 1.67384i 0.00638535 0.999980i \(-0.497967\pi\)
0.738857 0.673862i \(-0.235366\pi\)
\(180\) 2.30500 + 2.13877i 0.171805 + 0.159415i
\(181\) −14.6100 + 4.74707i −1.08595 + 0.352847i −0.796681 0.604400i \(-0.793413\pi\)
−0.289271 + 0.957247i \(0.593413\pi\)
\(182\) −7.40163 8.02487i −0.548645 0.594843i
\(183\) 16.9679 2.68746i 1.25431 0.198662i
\(184\) 0.338104 0.0355362i 0.0249254 0.00261976i
\(185\) −4.18595 + 24.0894i −0.307757 + 1.77108i
\(186\) 0.563218 + 0.975522i 0.0412971 + 0.0715287i
\(187\) 13.7504 2.49769i 1.00553 0.182649i
\(188\) 7.26774 + 7.26774i 0.530054 + 0.530054i
\(189\) 8.75832 + 1.27981i 0.637074 + 0.0930924i
\(190\) −2.30887 9.16338i −0.167503 0.664782i
\(191\) 22.8202 10.1602i 1.65121 0.735167i 0.651489 0.758658i \(-0.274145\pi\)
0.999724 + 0.0234913i \(0.00747819\pi\)
\(192\) −0.109859 2.09623i −0.00792835 0.151282i
\(193\) 1.14116 + 21.7747i 0.0821428 + 1.56738i 0.660016 + 0.751251i \(0.270549\pi\)
−0.577873 + 0.816127i \(0.696117\pi\)
\(194\) −9.26428 + 4.12472i −0.665136 + 0.296138i
\(195\) 9.93380 16.6260i 0.711374 1.19061i
\(196\) −5.97657 + 3.64425i −0.426898 + 0.260304i
\(197\) 13.5807 + 13.5807i 0.967585 + 0.967585i 0.999491 0.0319055i \(-0.0101575\pi\)
−0.0319055 + 0.999491i \(0.510158\pi\)
\(198\) 3.22251 3.37160i 0.229014 0.239609i
\(199\) −4.07584 7.05957i −0.288929 0.500440i 0.684625 0.728895i \(-0.259966\pi\)
−0.973554 + 0.228456i \(0.926632\pi\)
\(200\) 1.14894 + 4.86620i 0.0812423 + 0.344093i
\(201\) −12.5101 + 1.31486i −0.882394 + 0.0927433i
\(202\) −7.70439 + 1.22026i −0.542079 + 0.0858569i
\(203\) 2.16603 6.94854i 0.152025 0.487692i
\(204\) −8.41219 + 2.73328i −0.588971 + 0.191368i
\(205\) 17.2351 18.5746i 1.20375 1.29731i
\(206\) −3.22320 + 7.23943i −0.224571 + 0.504395i
\(207\) −0.400944 0.260376i −0.0278675 0.0180974i
\(208\) −3.98567 + 1.06796i −0.276356 + 0.0740495i
\(209\) −13.6406 + 3.22331i −0.943542 + 0.222961i
\(210\) −9.20384 8.33711i −0.635125 0.575315i
\(211\) 3.17431 9.76953i 0.218529 0.672562i −0.780356 0.625336i \(-0.784962\pi\)
0.998884 0.0472259i \(-0.0150381\pi\)
\(212\) 5.30025 6.54527i 0.364023 0.449531i
\(213\) −8.68625 + 7.03398i −0.595172 + 0.481961i
\(214\) 8.01847 + 7.21986i 0.548131 + 0.493540i
\(215\) −3.52373 2.36407i −0.240316 0.161228i
\(216\) 1.96643 2.70656i 0.133799 0.184158i
\(217\) −0.724572 1.22097i −0.0491871 0.0828851i
\(218\) −0.991203 1.94535i −0.0671328 0.131755i
\(219\) 13.2175 + 7.63110i 0.893153 + 0.515662i
\(220\) 7.24215 1.59726i 0.488266 0.107687i
\(221\) 8.69354 + 15.0576i 0.584791 + 1.01289i
\(222\) −22.9212 1.20125i −1.53837 0.0806227i
\(223\) 22.7582 + 3.60455i 1.52400 + 0.241378i 0.861529 0.507708i \(-0.169507\pi\)
0.662473 + 0.749086i \(0.269507\pi\)
\(224\) 0.170114 + 2.64028i 0.0113662 + 0.176411i
\(225\) 3.05082 6.33478i 0.203388 0.422319i
\(226\) −17.9871 3.82328i −1.19649 0.254321i
\(227\) −5.11458 6.31598i −0.339466 0.419206i 0.578613 0.815602i \(-0.303594\pi\)
−0.918080 + 0.396396i \(0.870261\pi\)
\(228\) 8.28175 3.17907i 0.548472 0.210539i
\(229\) −5.59773 6.21691i −0.369909 0.410825i 0.529237 0.848474i \(-0.322478\pi\)
−0.899146 + 0.437649i \(0.855811\pi\)
\(230\) −0.298766 0.699018i −0.0197001 0.0460919i
\(231\) −12.5664 + 13.4672i −0.826808 + 0.886076i
\(232\) −1.94521 1.94521i −0.127709 0.127709i
\(233\) −2.76472 0.144893i −0.181123 0.00949224i −0.0384411 0.999261i \(-0.512239\pi\)
−0.142682 + 0.989769i \(0.545573\pi\)
\(234\) 5.30083 + 2.36008i 0.346526 + 0.154283i
\(235\) 10.7393 20.3192i 0.700552 1.32548i
\(236\) −1.41649 + 6.66406i −0.0922057 + 0.433794i
\(237\) 23.7469 + 12.0997i 1.54253 + 0.785957i
\(238\) 10.5609 3.57188i 0.684558 0.231530i
\(239\) 9.41058 + 12.9526i 0.608720 + 0.837831i 0.996471 0.0839328i \(-0.0267481\pi\)
−0.387751 + 0.921764i \(0.626748\pi\)
\(240\) −4.40667 + 1.61630i −0.284449 + 0.104332i
\(241\) 10.4295 6.02145i 0.671821 0.387876i −0.124945 0.992164i \(-0.539876\pi\)
0.796766 + 0.604288i \(0.206542\pi\)
\(242\) −2.21006 10.7757i −0.142068 0.692688i
\(243\) −13.0979 + 3.50958i −0.840233 + 0.225140i
\(244\) −2.52905 + 7.78362i −0.161906 + 0.498295i
\(245\) 11.7258 + 10.3685i 0.749132 + 0.662420i
\(246\) 19.2440 + 13.9816i 1.22695 + 0.891434i
\(247\) −9.49737 14.6247i −0.604303 0.930545i
\(248\) −0.535892 + 0.0280849i −0.0340292 + 0.00178339i
\(249\) 0.485135 + 0.0509898i 0.0307442 + 0.00323135i
\(250\) 9.64054 5.66215i 0.609721 0.358106i
\(251\) −13.9202 4.52296i −0.878638 0.285487i −0.165246 0.986252i \(-0.552842\pi\)
−0.713392 + 0.700766i \(0.752842\pi\)
\(252\) 2.15065 3.03596i 0.135478 0.191247i
\(253\) −1.04325 + 0.427766i −0.0655885 + 0.0268934i
\(254\) 6.18960 + 3.57357i 0.388370 + 0.224226i
\(255\) 11.3845 + 16.1732i 0.712927 + 1.01280i
\(256\) 0.913545 + 0.406737i 0.0570966 + 0.0254210i
\(257\) 6.03232 15.7147i 0.376286 0.980258i −0.606430 0.795137i \(-0.707399\pi\)
0.982716 0.185121i \(-0.0592678\pi\)
\(258\) 1.80841 3.54921i 0.112587 0.220964i
\(259\) 28.9065 + 1.16783i 1.79616 + 0.0725654i
\(260\) 4.90878 + 7.81245i 0.304430 + 0.484507i
\(261\) 0.404364 + 3.84726i 0.0250295 + 0.238140i
\(262\) 0.452816 0.697275i 0.0279750 0.0430778i
\(263\) −11.3312 3.03619i −0.698712 0.187219i −0.108058 0.994145i \(-0.534463\pi\)
−0.590653 + 0.806925i \(0.701130\pi\)
\(264\) 2.30047 + 6.57087i 0.141584 + 0.404409i
\(265\) −17.4787 7.01142i −1.07371 0.430708i
\(266\) −10.3897 + 4.13174i −0.637035 + 0.253333i
\(267\) 21.4552 + 3.39817i 1.31304 + 0.207965i
\(268\) 2.14754 5.59454i 0.131182 0.341741i
\(269\) −18.7168 + 20.7872i −1.14119 + 1.26742i −0.182420 + 0.983221i \(0.558393\pi\)
−0.958767 + 0.284195i \(0.908274\pi\)
\(270\) −7.07920 2.41792i −0.430827 0.147150i
\(271\) −6.02609 13.5348i −0.366059 0.822182i −0.998854 0.0478626i \(-0.984759\pi\)
0.632795 0.774319i \(-0.281908\pi\)
\(272\) 0.659176 4.16187i 0.0399684 0.252351i
\(273\) −21.0450 9.06931i −1.27370 0.548899i
\(274\) 1.97803i 0.119497i
\(275\) −8.18601 14.4218i −0.493635 0.869669i
\(276\) 0.618017 0.356812i 0.0372003 0.0214776i
\(277\) −5.31070 3.44881i −0.319089 0.207219i 0.375149 0.926965i \(-0.377592\pi\)
−0.694238 + 0.719746i \(0.744258\pi\)
\(278\) −3.73730 + 4.61518i −0.224148 + 0.276800i
\(279\) 0.610501 + 0.443555i 0.0365497 + 0.0265549i
\(280\) 5.52945 2.10362i 0.330448 0.125715i
\(281\) −9.60412 29.5584i −0.572934 1.76331i −0.643110 0.765774i \(-0.722356\pi\)
0.0701768 0.997535i \(-0.477644\pi\)
\(282\) 20.1419 + 7.73174i 1.19943 + 0.460418i
\(283\) −2.53195 6.59596i −0.150509 0.392089i 0.837510 0.546422i \(-0.184011\pi\)
−0.988019 + 0.154333i \(0.950677\pi\)
\(284\) −1.10707 5.20835i −0.0656925 0.309059i
\(285\) −12.2511 15.6007i −0.725692 0.924103i
\(286\) 11.6941 7.10879i 0.691487 0.420352i
\(287\) −24.4650 17.3308i −1.44412 1.02301i
\(288\) −0.638415 1.25296i −0.0376189 0.0738313i
\(289\) −0.751567 + 0.0789928i −0.0442098 + 0.00464664i
\(290\) −2.87436 + 5.43843i −0.168788 + 0.319355i
\(291\) −14.2438 + 15.8193i −0.834986 + 0.927346i
\(292\) −6.09783 + 3.95998i −0.356848 + 0.231740i
\(293\) 1.29565 + 8.18044i 0.0756929 + 0.477906i 0.996194 + 0.0871657i \(0.0277810\pi\)
−0.920501 + 0.390740i \(0.872219\pi\)
\(294\) −8.34944 + 12.0910i −0.486949 + 0.705161i
\(295\) 15.1729 1.36543i 0.883400 0.0794986i
\(296\) 5.46726 9.46958i 0.317778 0.550408i
\(297\) −3.74119 + 10.4460i −0.217086 + 0.606138i
\(298\) −11.9715 3.20777i −0.693493 0.185821i
\(299\) −0.938652 1.04248i −0.0542837 0.0602881i
\(300\) 6.35791 + 8.35061i 0.367074 + 0.482123i
\(301\) −2.22560 + 4.50049i −0.128281 + 0.259404i
\(302\) −7.56270 + 14.8426i −0.435184 + 0.854098i
\(303\) −13.7323 + 8.91786i −0.788900 + 0.512317i
\(304\) −0.441745 + 4.20292i −0.0253358 + 0.241054i
\(305\) 18.2983 + 0.273944i 1.04776 + 0.0156860i
\(306\) −4.40350 + 3.96493i −0.251732 + 0.226660i
\(307\) −14.4650 + 14.4650i −0.825558 + 0.825558i −0.986899 0.161340i \(-0.948418\pi\)
0.161340 + 0.986899i \(0.448418\pi\)
\(308\) −2.99858 8.24673i −0.170860 0.469901i
\(309\) 16.6344i 0.946299i
\(310\) 0.413201 + 1.12655i 0.0234682 + 0.0639836i
\(311\) 8.35560 18.7670i 0.473802 1.06418i −0.505693 0.862713i \(-0.668763\pi\)
0.979496 0.201464i \(-0.0645700\pi\)
\(312\) −6.73122 + 5.45083i −0.381080 + 0.308593i
\(313\) −7.65071 11.7811i −0.432444 0.665905i 0.553526 0.832832i \(-0.313282\pi\)
−0.985969 + 0.166927i \(0.946615\pi\)
\(314\) −2.18982 6.73957i −0.123579 0.380336i
\(315\) −7.90447 2.59446i −0.445366 0.146181i
\(316\) −10.2719 + 7.46296i −0.577839 + 0.419824i
\(317\) 1.59090 30.3561i 0.0893536 1.70497i −0.475450 0.879743i \(-0.657715\pi\)
0.564804 0.825225i \(-0.308952\pi\)
\(318\) 4.57567 17.0766i 0.256591 0.957609i
\(319\) 8.00258 + 4.38215i 0.448059 + 0.245354i
\(320\) 0.266996 2.22007i 0.0149255 0.124106i
\(321\) 21.5406 + 6.99897i 1.20228 + 0.390644i
\(322\) −0.773517 + 0.459034i −0.0431064 + 0.0255810i
\(323\) 17.5884 2.78573i 0.978644 0.155002i
\(324\) 2.33718 10.9956i 0.129843 0.610864i
\(325\) 13.4579 15.6377i 0.746509 0.867424i
\(326\) 0.811163 7.71770i 0.0449262 0.427444i
\(327\) −3.56166 2.88417i −0.196960 0.159495i
\(328\) −10.0968 + 5.14460i −0.557505 + 0.284063i
\(329\) −25.5022 9.44037i −1.40598 0.520464i
\(330\) 12.5240 9.24616i 0.689425 0.508985i
\(331\) −1.39876 + 2.42273i −0.0768830 + 0.133165i −0.901904 0.431937i \(-0.857830\pi\)
0.825021 + 0.565103i \(0.191163\pi\)
\(332\) −0.126568 + 0.194898i −0.00694632 + 0.0106964i
\(333\) −14.3552 + 5.51043i −0.786657 + 0.301969i
\(334\) −6.80414 + 3.02940i −0.372306 + 0.165761i
\(335\) −13.3694 0.901522i −0.730449 0.0492554i
\(336\) 2.58043 + 4.91782i 0.140774 + 0.268289i
\(337\) −4.18549 26.4261i −0.227998 1.43952i −0.790365 0.612636i \(-0.790109\pi\)
0.562367 0.826888i \(-0.309891\pi\)
\(338\) 3.12886 + 2.53370i 0.170188 + 0.137815i
\(339\) −37.7568 + 8.02546i −2.05067 + 0.435883i
\(340\) −9.32725 + 1.33449i −0.505841 + 0.0723729i
\(341\) 1.67982 0.588106i 0.0909672 0.0318477i
\(342\) 4.20221 4.20221i 0.227230 0.227230i
\(343\) 10.3405 15.3647i 0.558332 0.829618i
\(344\) 1.11541 + 1.53524i 0.0601391 + 0.0827744i
\(345\) −1.16973 1.08537i −0.0629762 0.0584345i
\(346\) 0.372893 + 0.335754i 0.0200468 + 0.0180503i
\(347\) −10.3231 + 0.541009i −0.554171 + 0.0290429i −0.327366 0.944897i \(-0.606161\pi\)
−0.226804 + 0.973940i \(0.572828\pi\)
\(348\) −5.39097 2.06940i −0.288986 0.110931i
\(349\) 4.88261 3.54742i 0.261360 0.189889i −0.449386 0.893338i \(-0.648357\pi\)
0.710746 + 0.703448i \(0.248357\pi\)
\(350\) −8.13917 10.4285i −0.435057 0.557427i
\(351\) −13.8044 −0.736823
\(352\) −3.28668 0.444656i −0.175181 0.0237003i
\(353\) −8.09560 + 30.2132i −0.430885 + 1.60809i 0.319840 + 0.947471i \(0.396371\pi\)
−0.750726 + 0.660614i \(0.770296\pi\)
\(354\) 2.97336 + 13.9886i 0.158032 + 0.743483i
\(355\) −10.3992 + 5.79819i −0.551933 + 0.307736i
\(356\) −6.08272 + 8.37215i −0.322384 + 0.443723i
\(357\) 17.2022 15.8662i 0.910435 0.839728i
\(358\) 21.8420 + 11.1290i 1.15438 + 0.588188i
\(359\) −7.40698 16.6363i −0.390925 0.878033i −0.996606 0.0823247i \(-0.973766\pi\)
0.605680 0.795708i \(-0.292901\pi\)
\(360\) −2.25648 + 2.18991i −0.118927 + 0.115418i
\(361\) 1.11539 0.237083i 0.0587046 0.0124780i
\(362\) −3.97594 14.8384i −0.208971 0.779890i
\(363\) −13.4382 18.7768i −0.705320 0.985529i
\(364\) 8.40124 6.97150i 0.440345 0.365406i
\(365\) 12.4803 + 10.4195i 0.653249 + 0.545383i
\(366\) 1.79574 + 17.0853i 0.0938648 + 0.893064i
\(367\) −1.11844 1.38116i −0.0583820 0.0720958i 0.747118 0.664691i \(-0.231437\pi\)
−0.805500 + 0.592595i \(0.798103\pi\)
\(368\) 0.0177925 + 0.339501i 0.000927497 + 0.0176977i
\(369\) 15.5871 + 3.31314i 0.811432 + 0.172475i
\(370\) −23.8373 5.44095i −1.23924 0.282861i
\(371\) −5.50897 + 21.5913i −0.286011 + 1.12096i
\(372\) −1.00366 + 0.511391i −0.0520374 + 0.0265144i
\(373\) −0.976011 3.64252i −0.0505360 0.188603i 0.936044 0.351884i \(-0.114459\pi\)
−0.986580 + 0.163281i \(0.947792\pi\)
\(374\) 1.77463 + 13.8623i 0.0917637 + 0.716803i
\(375\) 13.6527 19.0888i 0.705023 0.985741i
\(376\) −7.63814 + 6.87741i −0.393907 + 0.354676i
\(377\) −1.77571 + 11.2114i −0.0914536 + 0.577415i
\(378\) −1.73643 + 8.67933i −0.0893123 + 0.446417i
\(379\) −22.9956 + 7.47173i −1.18121 + 0.383797i −0.832815 0.553552i \(-0.813272\pi\)
−0.348391 + 0.937349i \(0.613272\pi\)
\(380\) 9.27166 1.82614i 0.475626 0.0936788i
\(381\) 14.9204 + 1.56820i 0.764395 + 0.0803411i
\(382\) 8.95197 + 23.3207i 0.458023 + 1.19319i
\(383\) −1.11367 + 21.2501i −0.0569059 + 1.08583i 0.809703 + 0.586840i \(0.199628\pi\)
−0.866609 + 0.498988i \(0.833705\pi\)
\(384\) 2.09910 0.107119
\(385\) −15.6448 + 11.8423i −0.797331 + 0.603542i
\(386\) −21.8046 −1.10982
\(387\) 0.139661 2.66488i 0.00709934 0.135464i
\(388\) −3.63421 9.46745i −0.184499 0.480637i
\(389\) 12.2214 + 1.28452i 0.619650 + 0.0651279i 0.409152 0.912466i \(-0.365825\pi\)
0.210498 + 0.977594i \(0.432491\pi\)
\(390\) 16.0833 + 10.7903i 0.814411 + 0.546389i
\(391\) 1.36242 0.442678i 0.0689007 0.0223872i
\(392\) −3.32647 6.15911i −0.168012 0.311082i
\(393\) 0.273010 1.72372i 0.0137715 0.0869500i
\(394\) −14.2729 + 12.8513i −0.719056 + 0.647441i
\(395\) 22.7163 + 17.0296i 1.14298 + 0.856854i
\(396\) 3.19833 + 3.39455i 0.160722 + 0.170583i
\(397\) 9.33618 + 34.8431i 0.468569 + 1.74872i 0.644777 + 0.764371i \(0.276950\pi\)
−0.176207 + 0.984353i \(0.556383\pi\)
\(398\) 7.26321 3.70079i 0.364072 0.185504i
\(399\) −16.3960 + 16.7937i −0.820827 + 0.840736i
\(400\) −4.91967 + 0.892687i −0.245983 + 0.0446344i
\(401\) −3.14257 0.667974i −0.156933 0.0333570i 0.128775 0.991674i \(-0.458895\pi\)
−0.285708 + 0.958317i \(0.592229\pi\)
\(402\) −0.658334 12.5618i −0.0328347 0.626524i
\(403\) 1.39348 + 1.72081i 0.0694144 + 0.0857196i
\(404\) −0.815366 7.75769i −0.0405660 0.385960i
\(405\) −25.0349 + 2.25294i −1.24400 + 0.111949i
\(406\) 6.82565 + 2.52672i 0.338751 + 0.125399i
\(407\) −8.59205 + 35.2332i −0.425892 + 1.74645i
\(408\) −2.28928 8.54371i −0.113336 0.422976i
\(409\) 14.4021 3.06126i 0.712137 0.151369i 0.162422 0.986721i \(-0.448069\pi\)
0.549716 + 0.835352i \(0.314736\pi\)
\(410\) 17.6472 + 18.1836i 0.871532 + 0.898024i
\(411\) −1.68881 3.79313i −0.0833028 0.187101i
\(412\) −7.06082 3.59767i −0.347862 0.177244i
\(413\) −3.95866 17.5853i −0.194793 0.865316i
\(414\) 0.281003 0.386768i 0.0138106 0.0190086i
\(415\) 0.499861 + 0.141990i 0.0245372 + 0.00697004i
\(416\) −0.857899 4.03610i −0.0420620 0.197886i
\(417\) −3.22638 + 12.0410i −0.157997 + 0.589651i
\(418\) −2.50499 13.7906i −0.122523 0.674522i
\(419\) −31.6365 −1.54554 −0.772771 0.634685i \(-0.781130\pi\)
−0.772771 + 0.634685i \(0.781130\pi\)
\(420\) 8.80738 8.75489i 0.429756 0.427195i
\(421\) 0.211831 0.153905i 0.0103240 0.00750085i −0.582611 0.812751i \(-0.697969\pi\)
0.592935 + 0.805250i \(0.297969\pi\)
\(422\) 9.59001 + 3.68126i 0.466834 + 0.179201i
\(423\) 14.4336 0.756433i 0.701786 0.0367790i
\(424\) 6.25890 + 5.63554i 0.303959 + 0.273686i
\(425\) 8.99877 + 19.0503i 0.436505 + 0.924076i
\(426\) −6.56974 9.04247i −0.318305 0.438109i
\(427\) −2.52124 21.5060i −0.122011 1.04075i
\(428\) −7.62962 + 7.62962i −0.368792 + 0.368792i
\(429\) 16.3556 23.6162i 0.789654 1.14020i
\(430\) 2.54525 3.39517i 0.122743 0.163730i
\(431\) 6.00748 1.27693i 0.289370 0.0615076i −0.0609394 0.998141i \(-0.519410\pi\)
0.350310 + 0.936634i \(0.386076\pi\)
\(432\) 2.59993 + 2.10538i 0.125089 + 0.101295i
\(433\) −0.246620 1.55709i −0.0118518 0.0748292i 0.981054 0.193737i \(-0.0620608\pi\)
−0.992905 + 0.118908i \(0.962061\pi\)
\(434\) 1.25722 0.659678i 0.0603486 0.0316656i
\(435\) −0.868718 + 12.8829i −0.0416519 + 0.617690i
\(436\) 1.99456 0.888033i 0.0955219 0.0425291i
\(437\) −1.34130 + 0.514876i −0.0641630 + 0.0246299i
\(438\) −8.31239 + 12.8000i −0.397182 + 0.611606i
\(439\) 14.9168 25.8367i 0.711942 1.23312i −0.252186 0.967679i \(-0.581149\pi\)
0.964127 0.265440i \(-0.0855173\pi\)
\(440\) 1.21605 + 7.31582i 0.0579728 + 0.348768i
\(441\) −1.81531 + 9.67477i −0.0864431 + 0.460703i
\(442\) −15.4920 + 7.89357i −0.736879 + 0.375459i
\(443\) −12.0349 9.74563i −0.571793 0.463029i 0.299292 0.954162i \(-0.403250\pi\)
−0.871085 + 0.491133i \(0.836583\pi\)
\(444\) 2.39921 22.8269i 0.113861 1.08332i
\(445\) 21.8980 + 7.47930i 1.03806 + 0.354553i
\(446\) −4.79068 + 22.5384i −0.226845 + 1.06722i
\(447\) −25.6957 + 4.06980i −1.21536 + 0.192495i
\(448\) −2.64556 + 0.0316995i −0.124991 + 0.00149766i
\(449\) −25.6794 8.34374i −1.21189 0.393766i −0.367765 0.929919i \(-0.619877\pi\)
−0.844121 + 0.536153i \(0.819877\pi\)
\(450\) 6.16643 + 3.37818i 0.290688 + 0.159249i
\(451\) 27.3546 25.7734i 1.28808 1.21362i
\(452\) 4.75942 17.7624i 0.223864 0.835473i
\(453\) −1.83005 + 34.9195i −0.0859834 + 1.64066i
\(454\) 6.57500 4.77701i 0.308580 0.224196i
\(455\) −20.4332 13.3565i −0.957925 0.626162i
\(456\) 2.74128 + 8.43678i 0.128372 + 0.395089i
\(457\) 10.8056 + 16.6392i 0.505466 + 0.778349i 0.995640 0.0932751i \(-0.0297336\pi\)
−0.490174 + 0.871624i \(0.663067\pi\)
\(458\) 6.50136 5.26469i 0.303788 0.246003i
\(459\) 5.73379 12.8783i 0.267630 0.601108i
\(460\) 0.713696 0.261773i 0.0332762 0.0122052i
\(461\) 34.5849i 1.61078i −0.592745 0.805390i \(-0.701956\pi\)
0.592745 0.805390i \(-0.298044\pi\)
\(462\) −12.7911 13.2540i −0.595094 0.616632i
\(463\) −1.59816 + 1.59816i −0.0742728 + 0.0742728i −0.743267 0.668995i \(-0.766725\pi\)
0.668995 + 0.743267i \(0.266725\pi\)
\(464\) 2.04435 1.84074i 0.0949065 0.0854542i
\(465\) 1.75419 + 1.80751i 0.0813486 + 0.0838214i
\(466\) 0.289388 2.75335i 0.0134057 0.127546i
\(467\) 8.17304 5.30764i 0.378203 0.245608i −0.341512 0.939877i \(-0.610939\pi\)
0.719715 + 0.694269i \(0.244272\pi\)
\(468\) −2.63427 + 5.17005i −0.121769 + 0.238985i
\(469\) 1.01942 + 15.8220i 0.0470724 + 0.730593i
\(470\) 19.7293 + 11.7880i 0.910044 + 0.543738i
\(471\) −9.95338 11.0543i −0.458627 0.509357i
\(472\) −6.58080 1.76332i −0.302906 0.0811634i
\(473\) −4.97949 3.84925i −0.228957 0.176989i
\(474\) −13.3259 + 23.0811i −0.612078 + 1.06015i
\(475\) −10.0126 18.6075i −0.459412 0.853771i
\(476\) 3.01427 + 10.7333i 0.138159 + 0.491961i
\(477\) −1.85273 11.6977i −0.0848309 0.535601i
\(478\) −13.4273 + 8.71980i −0.614151 + 0.398834i
\(479\) −28.1144 + 31.2242i −1.28458 + 1.42667i −0.433918 + 0.900952i \(0.642869\pi\)
−0.850660 + 0.525716i \(0.823797\pi\)
\(480\) −1.38346 4.48522i −0.0631459 0.204721i
\(481\) −44.8716 + 4.71620i −2.04597 + 0.215040i
\(482\) 5.46736 + 10.7303i 0.249032 + 0.488752i
\(483\) −1.09140 + 1.54067i −0.0496605 + 0.0701030i
\(484\) 10.8766 1.64307i 0.494391 0.0746851i
\(485\) −17.8342 + 14.0051i −0.809809 + 0.635937i
\(486\) −2.81928 13.2637i −0.127885 0.601652i
\(487\) −11.3663 29.6103i −0.515057 1.34177i −0.906748 0.421672i \(-0.861443\pi\)
0.391691 0.920097i \(-0.371890\pi\)
\(488\) −7.64059 2.93295i −0.345873 0.132768i
\(489\) −5.03372 15.4922i −0.227633 0.700582i
\(490\) −10.9680 + 11.1671i −0.495483 + 0.504476i
\(491\) 8.62184 + 6.26414i 0.389098 + 0.282697i 0.765086 0.643928i \(-0.222696\pi\)
−0.375988 + 0.926625i \(0.622696\pi\)
\(492\) −14.9696 + 18.4859i −0.674882 + 0.833409i
\(493\) −9.72170 6.31334i −0.437843 0.284339i
\(494\) 15.1017 8.71896i 0.679456 0.392284i
\(495\) 5.14532 9.07122i 0.231265 0.407721i
\(496\) 0.536627i 0.0240953i
\(497\) 8.41660 + 11.2973i 0.377536 + 0.506753i
\(498\) −0.0763099 + 0.481802i −0.00341953 + 0.0215901i
\(499\) −5.86801 13.1798i −0.262688 0.590008i 0.733259 0.679950i \(-0.237998\pi\)
−0.995947 + 0.0899421i \(0.971332\pi\)
\(500\) 5.14984 + 9.92366i 0.230308 + 0.443800i
\(501\) −10.4613 + 11.6185i −0.467378 + 0.519076i
\(502\) 5.24529 13.6645i 0.234109 0.609874i
\(503\) 1.12970 + 0.178927i 0.0503707 + 0.00797794i 0.181569 0.983378i \(-0.441882\pi\)
−0.131198 + 0.991356i \(0.541882\pi\)
\(504\) 2.91924 + 2.30660i 0.130033 + 0.102744i
\(505\) −16.0387 + 6.85509i −0.713714 + 0.305048i
\(506\) −0.372580 1.06421i −0.0165632 0.0473097i
\(507\) 8.16321 + 2.18733i 0.362541 + 0.0971425i
\(508\) −3.89261 + 5.99410i −0.172707 + 0.265945i
\(509\) −3.10077 29.5019i −0.137439 1.30765i −0.818111 0.575060i \(-0.804979\pi\)
0.680672 0.732588i \(-0.261688\pi\)
\(510\) −16.7468 + 10.5225i −0.741561 + 0.465944i
\(511\) 10.2831 16.2577i 0.454896 0.719199i
\(512\) −0.453990 + 0.891007i −0.0200637 + 0.0393773i
\(513\) −5.06670 + 13.1992i −0.223700 + 0.582760i
\(514\) 15.3775 + 6.84650i 0.678272 + 0.301986i
\(515\) −3.03367 + 17.4582i −0.133679 + 0.769300i
\(516\) 3.44970 + 1.99169i 0.151865 + 0.0876791i
\(517\) 17.9151 29.0016i 0.787904 1.27549i
\(518\) −2.67908 + 28.8057i −0.117712 + 1.26565i
\(519\) 1.00173 + 0.325482i 0.0439710 + 0.0142871i
\(520\) −8.05865 + 4.49318i −0.353395 + 0.197039i
\(521\) −22.0527 2.31784i −0.966148 0.101546i −0.391705 0.920091i \(-0.628115\pi\)
−0.574443 + 0.818544i \(0.694781\pi\)
\(522\) −3.86315 + 0.202459i −0.169086 + 0.00886141i
\(523\) −11.8363 18.2263i −0.517565 0.796980i 0.479170 0.877722i \(-0.340938\pi\)
−0.996735 + 0.0807419i \(0.974271\pi\)
\(524\) 0.672621 + 0.488688i 0.0293836 + 0.0213484i
\(525\) −24.5116 13.0489i −1.06977 0.569501i
\(526\) 3.62505 11.1568i 0.158060 0.486458i
\(527\) −2.18416 + 0.585245i −0.0951437 + 0.0254937i
\(528\) −6.68226 + 1.95342i −0.290808 + 0.0850119i
\(529\) 19.8185 11.4422i 0.861674 0.497487i
\(530\) 7.91658 17.0878i 0.343874 0.742248i
\(531\) 5.63131 + 7.75084i 0.244378 + 0.336358i
\(532\) −3.58232 10.5917i −0.155313 0.459210i
\(533\) 41.6623 + 21.2280i 1.80459 + 0.919487i
\(534\) −4.51639 + 21.2480i −0.195443 + 0.919489i
\(535\) 21.3309 + 11.2740i 0.922217 + 0.487417i
\(536\) 5.47448 + 2.43739i 0.236461 + 0.105279i
\(537\) 51.3865 + 2.69305i 2.21749 + 0.116214i
\(538\) −19.7791 19.7791i −0.852738 0.852738i
\(539\) 16.3211 + 16.5112i 0.703000 + 0.711190i
\(540\) 2.78510 6.94296i 0.119852 0.298777i
\(541\) 22.6453 + 25.1501i 0.973596 + 1.08129i 0.996669 + 0.0815545i \(0.0259885\pi\)
−0.0230725 + 0.999734i \(0.507345\pi\)
\(542\) 13.8317 5.30948i 0.594121 0.228062i
\(543\) −20.2931 25.0599i −0.870861 1.07542i
\(544\) 4.12167 + 0.876088i 0.176715 + 0.0375620i
\(545\) −3.21204 3.67655i −0.137589 0.157486i
\(546\) 10.1583 20.5415i 0.434735 0.879097i
\(547\) 2.93359 + 0.464635i 0.125431 + 0.0198663i 0.218834 0.975762i \(-0.429775\pi\)
−0.0934032 + 0.995628i \(0.529775\pi\)
\(548\) 1.97532 + 0.103522i 0.0843816 + 0.00442225i
\(549\) 5.75442 + 9.96694i 0.245593 + 0.425379i
\(550\) 14.8305 7.42001i 0.632374 0.316391i
\(551\) 10.0681 + 5.81284i 0.428917 + 0.247635i
\(552\) 0.323979 + 0.635844i 0.0137895 + 0.0270633i
\(553\) 16.4465 29.2911i 0.699374 1.24558i
\(554\) 3.72202 5.12293i 0.158134 0.217652i
\(555\) −50.3563 + 9.91812i −2.13751 + 0.421001i
\(556\) −4.41326 3.97371i −0.187164 0.168523i
\(557\) −19.6552 + 15.9164i −0.832816 + 0.674401i −0.947765 0.318970i \(-0.896663\pi\)
0.114949 + 0.993371i \(0.463330\pi\)
\(558\) −0.474898 + 0.586450i −0.0201040 + 0.0248264i
\(559\) 2.41968 7.44700i 0.102341 0.314974i
\(560\) 1.81135 + 5.63196i 0.0765434 + 0.237994i
\(561\) 15.2384 + 25.0676i 0.643368 + 1.05835i
\(562\) 30.0206 8.04399i 1.26634 0.339315i
\(563\) −20.4326 13.2691i −0.861133 0.559227i 0.0368177 0.999322i \(-0.488278\pi\)
−0.897951 + 0.440095i \(0.854945\pi\)
\(564\) −8.77528 + 19.7096i −0.369506 + 0.829924i
\(565\) −41.0903 + 1.53708i −1.72868 + 0.0646655i
\(566\) 6.71943 2.18328i 0.282439 0.0917699i
\(567\) 6.53170 + 29.0153i 0.274306 + 1.21853i
\(568\) 5.25916 0.832968i 0.220669 0.0349506i
\(569\) −3.30234 + 0.347090i −0.138441 + 0.0145508i −0.173496 0.984835i \(-0.555506\pi\)
0.0350543 + 0.999385i \(0.488840\pi\)
\(570\) 16.2204 11.4178i 0.679400 0.478240i
\(571\) −8.05969 13.9598i −0.337288 0.584199i 0.646634 0.762800i \(-0.276176\pi\)
−0.983922 + 0.178601i \(0.942843\pi\)
\(572\) 6.48703 + 12.0501i 0.271236 + 0.503841i
\(573\) 37.0773 + 37.0773i 1.54893 + 1.54893i
\(574\) 18.5875 23.5244i 0.775826 0.981890i
\(575\) −1.02972 1.35245i −0.0429421 0.0564011i
\(576\) 1.28465 0.571965i 0.0535273 0.0238319i
\(577\) −0.849717 16.2136i −0.0353742 0.674979i −0.957560 0.288233i \(-0.906932\pi\)
0.922186 0.386746i \(-0.126401\pi\)
\(578\) −0.0395506 0.754671i −0.00164509 0.0313902i
\(579\) −41.8130 + 18.6164i −1.73769 + 0.773670i
\(580\) −5.28054 3.15505i −0.219263 0.131006i
\(581\) 0.0888998 0.608382i 0.00368819 0.0252399i
\(582\) −15.0522 15.0522i −0.623934 0.623934i
\(583\) −25.1690 12.1156i −1.04239 0.501777i
\(584\) −3.63541 6.29672i −0.150434 0.260560i
\(585\) 12.7832 + 2.22130i 0.528519 + 0.0918395i
\(586\) −8.23703 + 0.865747i −0.340269 + 0.0357637i
\(587\) 15.6417 2.47740i 0.645601 0.102253i 0.174956 0.984576i \(-0.444022\pi\)
0.470644 + 0.882323i \(0.344022\pi\)
\(588\) −11.6374 8.97079i −0.479920 0.369949i
\(589\) 2.15683 0.700797i 0.0888707 0.0288758i
\(590\) 0.569475 + 15.2236i 0.0234449 + 0.626744i
\(591\) −16.3978 + 36.8300i −0.674513 + 1.51498i
\(592\) 9.17047 + 5.95537i 0.376904 + 0.244764i
\(593\) 30.3766 8.13938i 1.24742 0.334244i 0.426078 0.904686i \(-0.359895\pi\)
0.821338 + 0.570442i \(0.193228\pi\)
\(594\) −10.2359 4.28276i −0.419983 0.175724i
\(595\) 20.9476 13.5147i 0.858768 0.554049i
\(596\) 3.82991 11.7873i 0.156879 0.482825i
\(597\) 10.7684 13.2979i 0.440723 0.544248i
\(598\) 1.09018 0.882807i 0.0445806 0.0361007i
\(599\) −3.71196 3.34226i −0.151667 0.136561i 0.589804 0.807546i \(-0.299205\pi\)
−0.741471 + 0.670985i \(0.765872\pi\)
\(600\) −8.67191 + 5.91216i −0.354029 + 0.241363i
\(601\) 6.70737 9.23190i 0.273599 0.376577i −0.650001 0.759933i \(-0.725232\pi\)
0.923601 + 0.383356i \(0.125232\pi\)
\(602\) −4.37784 2.45809i −0.178427 0.100184i
\(603\) −3.82574 7.50844i −0.155796 0.305767i
\(604\) −14.4265 8.32914i −0.587006 0.338908i
\(605\) −10.6793 22.1575i −0.434174 0.900829i
\(606\) −8.18694 14.1802i −0.332572 0.576031i
\(607\) 20.9316 + 1.09698i 0.849589 + 0.0445251i 0.472160 0.881513i \(-0.343475\pi\)
0.377430 + 0.926038i \(0.376808\pi\)
\(608\) −4.17404 0.661103i −0.169280 0.0268113i
\(609\) 15.2463 0.982325i 0.617812 0.0398058i
\(610\) −1.23123 + 18.2589i −0.0498510 + 0.739282i
\(611\) 41.4836 + 8.81761i 1.67825 + 0.356722i
\(612\) −3.72904 4.60498i −0.150737 0.186145i
\(613\) 18.2721 7.01400i 0.738003 0.283293i 0.0398149 0.999207i \(-0.487323\pi\)
0.698188 + 0.715914i \(0.253990\pi\)
\(614\) −13.6881 15.2022i −0.552406 0.613509i
\(615\) 49.3655 + 19.8025i 1.99061 + 0.798513i
\(616\) 8.39236 2.56287i 0.338138 0.103261i
\(617\) −0.269198 0.269198i −0.0108375 0.0108375i 0.701667 0.712505i \(-0.252439\pi\)
−0.712505 + 0.701667i \(0.752439\pi\)
\(618\) −16.6116 0.870578i −0.668217 0.0350198i
\(619\) 29.1399 + 12.9739i 1.17123 + 0.521465i 0.897790 0.440424i \(-0.145172\pi\)
0.273440 + 0.961889i \(0.411838\pi\)
\(620\) −1.14663 + 0.353676i −0.0460497 + 0.0142040i
\(621\) −0.236469 + 1.11250i −0.00948919 + 0.0446431i
\(622\) 18.3040 + 9.32633i 0.733922 + 0.373952i
\(623\) 5.37127 26.8476i 0.215195 1.07563i
\(624\) −5.09108 7.00727i −0.203806 0.280515i
\(625\) 17.8101 17.5442i 0.712404 0.701770i
\(626\) 12.1653 7.02365i 0.486224 0.280722i
\(627\) −16.5778 24.3066i −0.662055 0.970710i
\(628\) 6.84494 1.83410i 0.273143 0.0731884i
\(629\) 14.2381 43.8203i 0.567709 1.74723i
\(630\) 3.00459 7.75785i 0.119706 0.309080i
\(631\) 6.36752 + 4.62627i 0.253487 + 0.184169i 0.707271 0.706943i \(-0.249926\pi\)
−0.453784 + 0.891112i \(0.649926\pi\)
\(632\) −6.91515 10.6484i −0.275070 0.423570i
\(633\) 21.5330 1.12850i 0.855861 0.0448538i
\(634\) 30.2312 + 3.17743i 1.20064 + 0.126192i
\(635\) 15.3733 + 4.36693i 0.610070 + 0.173296i
\(636\) 16.8137 + 5.46312i 0.666708 + 0.216627i
\(637\) −12.4926 + 26.0425i −0.494975 + 1.03184i
\(638\) −4.79497 + 7.76227i −0.189835 + 0.307311i
\(639\) −6.48459 3.74388i −0.256527 0.148106i
\(640\) 2.20305 + 0.382819i 0.0870834 + 0.0151323i
\(641\) −11.5848 5.15789i −0.457573 0.203724i 0.164989 0.986295i \(-0.447241\pi\)
−0.622561 + 0.782571i \(0.713908\pi\)
\(642\) −8.11672 + 21.1448i −0.320342 + 0.834518i
\(643\) 5.22931 10.2631i 0.206224 0.404737i −0.764609 0.644495i \(-0.777068\pi\)
0.970833 + 0.239757i \(0.0770678\pi\)
\(644\) −0.417923 0.796481i −0.0164685 0.0313858i
\(645\) 1.98210 8.68375i 0.0780451 0.341922i
\(646\) 1.86140 + 17.7101i 0.0732359 + 0.696793i
\(647\) −7.59196 + 11.6906i −0.298471 + 0.459604i −0.955808 0.293992i \(-0.905016\pi\)
0.657337 + 0.753597i \(0.271683\pi\)
\(648\) 10.8582 + 2.90944i 0.426549 + 0.114294i
\(649\) 22.5902 0.510756i 0.886743 0.0200489i
\(650\) 14.9119 + 14.2578i 0.584895 + 0.559239i
\(651\) 1.84766 2.33841i 0.0724154 0.0916494i
\(652\) 7.66467 + 1.21396i 0.300172 + 0.0475425i
\(653\) −11.6253 + 30.2850i −0.454934 + 1.18514i 0.493941 + 0.869495i \(0.335556\pi\)
−0.948876 + 0.315650i \(0.897778\pi\)
\(654\) 3.06662 3.40583i 0.119914 0.133178i
\(655\) 0.600889 1.75929i 0.0234787 0.0687412i
\(656\) −4.60912 10.3523i −0.179956 0.404188i
\(657\) −1.59946 + 10.0986i −0.0624007 + 0.393983i
\(658\) 10.7621 24.9731i 0.419551 0.973554i
\(659\) 46.1565i 1.79800i −0.437946 0.899001i \(-0.644294\pi\)
0.437946 0.899001i \(-0.355706\pi\)
\(660\) 8.57804 + 12.9908i 0.333900 + 0.505665i
\(661\) −24.4425 + 14.1119i −0.950703 + 0.548889i −0.893299 0.449462i \(-0.851616\pi\)
−0.0574038 + 0.998351i \(0.518282\pi\)
\(662\) −2.34620 1.52364i −0.0911878 0.0592180i
\(663\) −22.9685 + 28.3637i −0.892021 + 1.10155i
\(664\) −0.188006 0.136595i −0.00729607 0.00530090i
\(665\) −20.2707 + 14.6352i −0.786064 + 0.567528i
\(666\) −4.75158 14.6239i −0.184120 0.566664i
\(667\) 0.873112 + 0.335156i 0.0338070 + 0.0129773i
\(668\) −2.66914 6.95336i −0.103272 0.269034i
\(669\) 10.0561 + 47.3103i 0.388792 + 1.82912i
\(670\) 1.59999 13.3039i 0.0618129 0.513975i
\(671\) 27.0524 + 2.22639i 1.04435 + 0.0859487i
\(672\) −5.04613 + 2.31952i −0.194659 + 0.0894774i
\(673\) −7.26447 14.2573i −0.280025 0.549579i 0.707563 0.706651i \(-0.249795\pi\)
−0.987587 + 0.157071i \(0.949795\pi\)
\(674\) 26.6090 2.79672i 1.02494 0.107726i
\(675\) −16.6708 1.37511i −0.641660 0.0529279i
\(676\) −2.69398 + 2.99197i −0.103615 + 0.115076i
\(677\) −40.2451 + 26.1355i −1.54675 + 1.00447i −0.562677 + 0.826677i \(0.690229\pi\)
−0.984068 + 0.177792i \(0.943105\pi\)
\(678\) −6.03843 38.1251i −0.231904 1.46419i
\(679\) 19.1980 + 18.7434i 0.736753 + 0.719307i
\(680\) −0.844510 9.38431i −0.0323855 0.359872i
\(681\) 8.52985 14.7741i 0.326865 0.566146i
\(682\) 0.499385 + 1.70829i 0.0191225 + 0.0654140i
\(683\) −15.3813 4.12139i −0.588547 0.157701i −0.0477580 0.998859i \(-0.515208\pi\)
−0.540789 + 0.841158i \(0.681874\pi\)
\(684\) 3.97653 + 4.41638i 0.152046 + 0.168865i
\(685\) −1.08068 4.28897i −0.0412907 0.163873i
\(686\) 14.8025 + 11.1304i 0.565162 + 0.424961i
\(687\) 7.97226 15.6464i 0.304161 0.596949i
\(688\) −1.59151 + 1.03354i −0.0606757 + 0.0394032i
\(689\) 3.63259 34.5618i 0.138391 1.31670i
\(690\) 1.14510 1.11132i 0.0435934 0.0423073i
\(691\) 12.7204 11.4535i 0.483906 0.435711i −0.390719 0.920510i \(-0.627774\pi\)
0.874626 + 0.484799i \(0.161107\pi\)
\(692\) −0.354810 + 0.354810i −0.0134878 + 0.0134878i
\(693\) −11.4396 4.62615i −0.434555 0.175733i
\(694\) 10.3372i 0.392396i
\(695\) −5.58211 + 12.0489i −0.211742 + 0.457041i
\(696\) 2.34871 5.27528i 0.0890274 0.199959i
\(697\) −37.1087 + 30.0501i −1.40559 + 1.13823i
\(698\) 3.28703 + 5.06158i 0.124416 + 0.191583i
\(699\) −1.79582 5.52696i −0.0679241 0.209049i
\(700\) 10.8402 7.58223i 0.409721 0.286581i
\(701\) −8.31280 + 6.03961i −0.313970 + 0.228113i −0.733598 0.679583i \(-0.762161\pi\)
0.419628 + 0.907696i \(0.362161\pi\)
\(702\) 0.722465 13.7855i 0.0272677 0.520299i
\(703\) −11.9601 + 44.6355i −0.451082 + 1.68346i
\(704\) 0.616059 3.25891i 0.0232186 0.122825i
\(705\) 47.8977 + 5.76039i 1.80393 + 0.216949i
\(706\) −29.7481 9.66574i −1.11958 0.363775i
\(707\) 10.5324 + 17.7481i 0.396111 + 0.667486i
\(708\) −14.1250 + 2.23718i −0.530850 + 0.0840783i
\(709\) −6.81423 + 32.0584i −0.255914 + 1.20398i 0.643004 + 0.765863i \(0.277688\pi\)
−0.898918 + 0.438117i \(0.855646\pi\)
\(710\) −5.24599 10.6884i −0.196878 0.401129i
\(711\) −1.86631 + 17.7567i −0.0699920 + 0.665929i
\(712\) −8.04233 6.51255i −0.301399 0.244068i
\(713\) 0.162551 0.0828239i 0.00608759 0.00310178i
\(714\) 14.9441 + 18.0090i 0.559271 + 0.673968i
\(715\) 21.4725 21.8029i 0.803025 0.815383i
\(716\) −12.2569 + 21.2296i −0.458062 + 0.793387i
\(717\) −18.3038 + 28.1853i −0.683566 + 1.05260i
\(718\) 17.0012 6.52615i 0.634479 0.243554i
\(719\) 17.4917 7.78783i 0.652332 0.290437i −0.0537632 0.998554i \(-0.517122\pi\)
0.706095 + 0.708117i \(0.250455\pi\)
\(720\) −2.06881 2.36800i −0.0771002 0.0882500i
\(721\) 20.9493 + 0.846357i 0.780192 + 0.0315200i
\(722\) 0.178383 + 1.12627i 0.00663873 + 0.0419153i
\(723\) 19.6457 + 15.9088i 0.730631 + 0.591654i
\(724\) 15.0262 3.19391i 0.558443 0.118701i
\(725\) −3.26124 + 13.3625i −0.121119 + 0.496271i
\(726\) 19.4544 12.4370i 0.722021 0.461582i
\(727\) −35.6687 + 35.6687i −1.32288 + 1.32288i −0.411441 + 0.911436i \(0.634974\pi\)
−0.911436 + 0.411441i \(0.865026\pi\)
\(728\) 6.52226 + 8.75459i 0.241731 + 0.324467i
\(729\) 3.09166 + 4.25531i 0.114506 + 0.157604i
\(730\) −11.0584 + 11.9179i −0.409290 + 0.441101i
\(731\) 5.94237 + 5.35054i 0.219787 + 0.197897i
\(732\) −17.1559 + 0.899102i −0.634100 + 0.0332318i
\(733\) 40.9027 + 15.7011i 1.51077 + 0.579932i 0.965975 0.258635i \(-0.0832725\pi\)
0.544799 + 0.838567i \(0.316606\pi\)
\(734\) 1.43780 1.04462i 0.0530701 0.0385577i
\(735\) −11.4983 + 30.7785i −0.424120 + 1.13528i
\(736\) −0.339967 −0.0125313
\(737\) −19.6956 2.66463i −0.725499 0.0981530i
\(738\) −4.12436 + 15.3923i −0.151820 + 0.566600i
\(739\) 2.33063 + 10.9648i 0.0857337 + 0.403345i 0.999998 0.00177192i \(-0.000564021\pi\)
−0.914265 + 0.405117i \(0.867231\pi\)
\(740\) 6.68104 23.5198i 0.245600 0.864607i
\(741\) 21.5153 29.6132i 0.790383 1.08787i
\(742\) −21.2734 6.63142i −0.780970 0.243447i
\(743\) −2.05087 1.04497i −0.0752392 0.0383363i 0.415966 0.909380i \(-0.363444\pi\)
−0.491205 + 0.871044i \(0.663444\pi\)
\(744\) −0.458162 1.02905i −0.0167971 0.0377268i
\(745\) −27.7104 0.414852i −1.01523 0.0151990i
\(746\) 3.68861 0.784039i 0.135050 0.0287057i
\(747\) 0.0845800 + 0.315657i 0.00309462 + 0.0115493i
\(748\) −13.9362 + 1.04670i −0.509557 + 0.0382710i
\(749\) 9.91044 26.7720i 0.362119 0.978227i
\(750\) 18.3481 + 14.6330i 0.669978 + 0.534322i
\(751\) 1.73151 + 16.4742i 0.0631835 + 0.601151i 0.979604 + 0.200935i \(0.0643981\pi\)
−0.916421 + 0.400216i \(0.868935\pi\)
\(752\) −6.46824 7.98761i −0.235872 0.291278i
\(753\) −1.60796 30.6816i −0.0585972 1.11810i
\(754\) −11.1031 2.36003i −0.404350 0.0859473i
\(755\) −8.28905 + 36.3150i −0.301669 + 1.32164i
\(756\) −8.57656 2.18829i −0.311927 0.0795874i
\(757\) −6.52509 + 3.32470i −0.237158 + 0.120838i −0.568531 0.822662i \(-0.692488\pi\)
0.331373 + 0.943500i \(0.392488\pi\)
\(758\) −6.25799 23.3552i −0.227301 0.848297i
\(759\) −1.62307 1.72265i −0.0589137 0.0625281i
\(760\) 1.33839 + 9.35453i 0.0485486 + 0.339324i
\(761\) 38.2479 34.4385i 1.38648 1.24840i 0.452177 0.891928i \(-0.350647\pi\)
0.934307 0.356468i \(-0.116019\pi\)
\(762\) −2.34692 + 14.8179i −0.0850199 + 0.536795i
\(763\) −3.81352 + 4.33878i −0.138059 + 0.157074i
\(764\) −23.7572 + 7.71919i −0.859506 + 0.279271i
\(765\) −7.38190 + 11.0030i −0.266893 + 0.397813i
\(766\) −21.1627 2.22429i −0.764638 0.0803667i
\(767\) 10.0745 + 26.2448i 0.363767 + 0.947646i
\(768\) −0.109859 + 2.09623i −0.00396418 + 0.0756410i
\(769\) −13.5287 −0.487858 −0.243929 0.969793i \(-0.578436\pi\)
−0.243929 + 0.969793i \(0.578436\pi\)
\(770\) −11.0073 16.2431i −0.396677 0.585361i
\(771\) 35.3337 1.27251