Properties

Label 483.2.y.a.340.13
Level $483$
Weight $2$
Character 483.340
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 340.13
Character \(\chi\) \(=\) 483.340
Dual form 483.2.y.a.331.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.490887 + 2.02346i) q^{2} +(0.327068 + 0.945001i) q^{3} +(-2.07576 + 1.07013i) q^{4} +(2.66571 - 1.06719i) q^{5} +(-1.75162 + 1.12570i) q^{6} +(0.754709 - 2.53583i) q^{7} +(-0.457285 - 0.527735i) q^{8} +(-0.786053 + 0.618159i) q^{9} +O(q^{10})\) \(q+(0.490887 + 2.02346i) q^{2} +(0.327068 + 0.945001i) q^{3} +(-2.07576 + 1.07013i) q^{4} +(2.66571 - 1.06719i) q^{5} +(-1.75162 + 1.12570i) q^{6} +(0.754709 - 2.53583i) q^{7} +(-0.457285 - 0.527735i) q^{8} +(-0.786053 + 0.618159i) q^{9} +(3.46798 + 4.87010i) q^{10} +(-0.258891 + 1.06716i) q^{11} +(-1.69019 - 1.61159i) q^{12} +(-1.08026 + 2.36545i) q^{13} +(5.50163 + 0.282321i) q^{14} +(1.88036 + 2.17006i) q^{15} +(-1.86592 + 2.62032i) q^{16} +(0.237700 + 4.98994i) q^{17} +(-1.63668 - 1.28710i) q^{18} +(-0.00132975 + 0.0279150i) q^{19} +(-4.39135 + 5.06788i) q^{20} +(2.64320 - 0.116187i) q^{21} -2.28645 q^{22} +(2.89768 - 3.82144i) q^{23} +(0.349147 - 0.604740i) q^{24} +(2.34845 - 2.23924i) q^{25} +(-5.31668 - 1.02471i) q^{26} +(-0.841254 - 0.540641i) q^{27} +(1.14707 + 6.07140i) q^{28} +(3.29672 - 2.11867i) q^{29} +(-3.46798 + 4.87010i) q^{30} +(-4.56358 + 0.879557i) q^{31} +(-7.51461 - 3.00840i) q^{32} +(-1.09315 + 0.104383i) q^{33} +(-9.98027 + 2.93047i) q^{34} +(-0.694373 - 7.56520i) q^{35} +(0.970148 - 2.12433i) q^{36} +(3.72892 - 2.93245i) q^{37} +(-0.0571377 + 0.0110124i) q^{38} +(-2.58867 - 0.247188i) q^{39} +(-1.78218 - 0.918780i) q^{40} +(1.66028 - 11.5475i) q^{41} +(1.53261 + 5.29138i) q^{42} +(1.11707 - 1.28917i) q^{43} +(-0.604607 - 2.49222i) q^{44} +(-1.43570 + 2.48670i) q^{45} +(9.15498 + 3.98746i) q^{46} +(-0.953940 - 1.65227i) q^{47} +(-3.08648 - 0.906273i) q^{48} +(-5.86083 - 3.82762i) q^{49} +(5.68384 + 3.65278i) q^{50} +(-4.63775 + 1.85668i) q^{51} +(-0.288965 - 6.06612i) q^{52} +(-8.35814 - 0.798105i) q^{53} +(0.681006 - 1.96764i) q^{54} +(0.448737 + 3.12104i) q^{55} +(-1.68336 + 0.761310i) q^{56} +(-0.0268146 + 0.00787348i) q^{57} +(5.90537 + 5.63076i) q^{58} +(0.779504 + 1.09466i) q^{59} +(-6.22542 - 2.49228i) q^{60} +(-2.00922 + 5.80526i) q^{61} +(-4.01995 - 8.80247i) q^{62} +(0.974303 + 2.45982i) q^{63} +(1.48296 - 10.3142i) q^{64} +(-0.355290 + 7.45845i) q^{65} +(-0.747826 - 2.16070i) q^{66} +(4.78829 - 4.56562i) q^{67} +(-5.83329 - 10.1035i) q^{68} +(4.55901 + 1.48844i) q^{69} +(14.9670 - 5.11869i) q^{70} +(-0.798865 - 0.234568i) q^{71} +(0.685675 + 0.132153i) q^{72} +(4.00250 - 2.06343i) q^{73} +(7.76418 + 6.10582i) q^{74} +(2.88419 + 1.48690i) q^{75} +(-0.0271124 - 0.0593678i) q^{76} +(2.51076 + 1.46190i) q^{77} +(-0.770568 - 5.35942i) q^{78} +(2.29606 - 0.219247i) q^{79} +(-2.17762 + 8.97629i) q^{80} +(0.235759 - 0.971812i) q^{81} +(24.1810 - 2.30900i) q^{82} +(-2.50066 - 17.3925i) q^{83} +(-5.36231 + 3.06974i) q^{84} +(5.95885 + 13.0481i) q^{85} +(3.15695 + 1.62752i) q^{86} +(3.08040 + 2.42245i) q^{87} +(0.681568 - 0.351373i) q^{88} +(-14.9562 - 2.88257i) q^{89} +(-5.73651 - 1.68439i) q^{90} +(5.18308 + 4.52458i) q^{91} +(-1.92546 + 11.0333i) q^{92} +(-2.32378 - 4.02491i) q^{93} +(2.87504 - 2.74134i) q^{94} +(0.0262458 + 0.0758324i) q^{95} +(0.385149 - 8.08527i) q^{96} +(-2.13978 + 14.8825i) q^{97} +(4.86804 - 13.7381i) q^{98} +(-0.456175 - 0.998884i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 8q^{10} - 6q^{11} - 18q^{12} - 10q^{14} + 18q^{15} + 8q^{16} + 4q^{17} + 2q^{18} + 18q^{20} + 4q^{21} - 176q^{22} - 18q^{23} - 6q^{24} + 8q^{25} - 14q^{26} + 32q^{27} + 46q^{28} + 34q^{29} - 8q^{30} + 52q^{31} - 8q^{32} - 5q^{33} - 24q^{34} - 12q^{35} - 14q^{36} - 30q^{37} - 157q^{38} + 88q^{40} - 28q^{41} - 45q^{42} + 64q^{43} - 71q^{44} - 2q^{45} + 4q^{46} + 36q^{47} + 60q^{48} + 28q^{49} + 210q^{50} - 26q^{51} - 198q^{52} - 10q^{53} - 2q^{54} - 4q^{55} + 44q^{57} + 31q^{58} + 10q^{59} - 2q^{60} - 34q^{61} - 8q^{62} + 2q^{63} + 84q^{64} + 38q^{65} - 12q^{67} - 22q^{68} + 8q^{69} - 336q^{70} - 144q^{71} + 6q^{72} - 16q^{73} - 68q^{74} - 30q^{75} + 8q^{76} + 98q^{77} + 16q^{78} + 26q^{79} + 225q^{80} + 16q^{81} - 122q^{82} + 44q^{84} - 240q^{85} - 26q^{86} - 16q^{87} + 43q^{88} + 68q^{89} - 16q^{90} + 40q^{91} - 222q^{92} - 8q^{93} + 137q^{94} - 49q^{95} + 30q^{96} - 8q^{97} + 137q^{98} - 10q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{6}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.490887 + 2.02346i 0.347109 + 1.43080i 0.831291 + 0.555837i \(0.187602\pi\)
−0.484182 + 0.874967i \(0.660883\pi\)
\(3\) 0.327068 + 0.945001i 0.188833 + 0.545596i
\(4\) −2.07576 + 1.07013i −1.03788 + 0.535064i
\(5\) 2.66571 1.06719i 1.19214 0.477262i 0.311135 0.950366i \(-0.399291\pi\)
0.881007 + 0.473104i \(0.156866\pi\)
\(6\) −1.75162 + 1.12570i −0.715096 + 0.459564i
\(7\) 0.754709 2.53583i 0.285253 0.958452i
\(8\) −0.457285 0.527735i −0.161675 0.186583i
\(9\) −0.786053 + 0.618159i −0.262018 + 0.206053i
\(10\) 3.46798 + 4.87010i 1.09667 + 1.54006i
\(11\) −0.258891 + 1.06716i −0.0780587 + 0.321762i −0.997432 0.0716248i \(-0.977182\pi\)
0.919373 + 0.393387i \(0.128697\pi\)
\(12\) −1.69019 1.61159i −0.487915 0.465226i
\(13\) −1.08026 + 2.36545i −0.299611 + 0.656057i −0.998232 0.0594348i \(-0.981070\pi\)
0.698621 + 0.715492i \(0.253797\pi\)
\(14\) 5.50163 + 0.282321i 1.47037 + 0.0754535i
\(15\) 1.88036 + 2.17006i 0.485508 + 0.560306i
\(16\) −1.86592 + 2.62032i −0.466480 + 0.655079i
\(17\) 0.237700 + 4.98994i 0.0576508 + 1.21024i 0.823537 + 0.567262i \(0.191997\pi\)
−0.765886 + 0.642976i \(0.777700\pi\)
\(18\) −1.63668 1.28710i −0.385770 0.303373i
\(19\) −0.00132975 + 0.0279150i −0.000305067 + 0.00640414i −0.999015 0.0443796i \(-0.985869\pi\)
0.998710 + 0.0507837i \(0.0161719\pi\)
\(20\) −4.39135 + 5.06788i −0.981935 + 1.13321i
\(21\) 2.64320 0.116187i 0.576793 0.0253542i
\(22\) −2.28645 −0.487474
\(23\) 2.89768 3.82144i 0.604209 0.796826i
\(24\) 0.349147 0.604740i 0.0712693 0.123442i
\(25\) 2.34845 2.23924i 0.469690 0.447848i
\(26\) −5.31668 1.02471i −1.04269 0.200961i
\(27\) −0.841254 0.540641i −0.161899 0.104046i
\(28\) 1.14707 + 6.07140i 0.216775 + 1.14739i
\(29\) 3.29672 2.11867i 0.612185 0.393427i −0.197491 0.980305i \(-0.563279\pi\)
0.809676 + 0.586877i \(0.199643\pi\)
\(30\) −3.46798 + 4.87010i −0.633164 + 0.889154i
\(31\) −4.56358 + 0.879557i −0.819643 + 0.157973i −0.581801 0.813331i \(-0.697652\pi\)
−0.237841 + 0.971304i \(0.576440\pi\)
\(32\) −7.51461 3.00840i −1.32841 0.531815i
\(33\) −1.09315 + 0.104383i −0.190292 + 0.0181707i
\(34\) −9.98027 + 2.93047i −1.71160 + 0.502572i
\(35\) −0.694373 7.56520i −0.117370 1.27875i
\(36\) 0.970148 2.12433i 0.161691 0.354055i
\(37\) 3.72892 2.93245i 0.613030 0.482092i −0.262710 0.964875i \(-0.584616\pi\)
0.875740 + 0.482783i \(0.160374\pi\)
\(38\) −0.0571377 + 0.0110124i −0.00926896 + 0.00178644i
\(39\) −2.58867 0.247188i −0.414519 0.0395818i
\(40\) −1.78218 0.918780i −0.281788 0.145272i
\(41\) 1.66028 11.5475i 0.259293 1.80342i −0.278602 0.960407i \(-0.589871\pi\)
0.537894 0.843012i \(-0.319220\pi\)
\(42\) 1.53261 + 5.29138i 0.236487 + 0.816478i
\(43\) 1.11707 1.28917i 0.170352 0.196597i −0.664154 0.747596i \(-0.731208\pi\)
0.834506 + 0.550999i \(0.185753\pi\)
\(44\) −0.604607 2.49222i −0.0911480 0.375717i
\(45\) −1.43570 + 2.48670i −0.214021 + 0.370695i
\(46\) 9.15498 + 3.98746i 1.34983 + 0.587919i
\(47\) −0.953940 1.65227i −0.139146 0.241009i 0.788027 0.615640i \(-0.211103\pi\)
−0.927174 + 0.374632i \(0.877769\pi\)
\(48\) −3.08648 0.906273i −0.445495 0.130809i
\(49\) −5.86083 3.82762i −0.837261 0.546803i
\(50\) 5.68384 + 3.65278i 0.803817 + 0.516582i
\(51\) −4.63775 + 1.85668i −0.649415 + 0.259987i
\(52\) −0.288965 6.06612i −0.0400722 0.841220i
\(53\) −8.35814 0.798105i −1.14808 0.109628i −0.496379 0.868106i \(-0.665337\pi\)
−0.651699 + 0.758477i \(0.725944\pi\)
\(54\) 0.681006 1.96764i 0.0926732 0.267762i
\(55\) 0.448737 + 3.12104i 0.0605077 + 0.420841i
\(56\) −1.68336 + 0.761310i −0.224949 + 0.101734i
\(57\) −0.0268146 + 0.00787348i −0.00355168 + 0.00104287i
\(58\) 5.90537 + 5.63076i 0.775413 + 0.739355i
\(59\) 0.779504 + 1.09466i 0.101483 + 0.142513i 0.862195 0.506577i \(-0.169089\pi\)
−0.760712 + 0.649090i \(0.775150\pi\)
\(60\) −6.22542 2.49228i −0.803699 0.321752i
\(61\) −2.00922 + 5.80526i −0.257254 + 0.743288i 0.740227 + 0.672357i \(0.234718\pi\)
−0.997481 + 0.0709307i \(0.977403\pi\)
\(62\) −4.01995 8.80247i −0.510534 1.11791i
\(63\) 0.974303 + 2.45982i 0.122751 + 0.309909i
\(64\) 1.48296 10.3142i 0.185370 1.28928i
\(65\) −0.355290 + 7.45845i −0.0440682 + 0.925106i
\(66\) −0.747826 2.16070i −0.0920510 0.265964i
\(67\) 4.78829 4.56562i 0.584982 0.557779i −0.338722 0.940887i \(-0.609994\pi\)
0.923704 + 0.383107i \(0.125146\pi\)
\(68\) −5.83329 10.1035i −0.707390 1.22524i
\(69\) 4.55901 + 1.48844i 0.548840 + 0.179188i
\(70\) 14.9670 5.11869i 1.78890 0.611801i
\(71\) −0.798865 0.234568i −0.0948078 0.0278381i 0.233985 0.972240i \(-0.424823\pi\)
−0.328792 + 0.944402i \(0.606642\pi\)
\(72\) 0.685675 + 0.132153i 0.0808076 + 0.0155744i
\(73\) 4.00250 2.06343i 0.468458 0.241507i −0.207801 0.978171i \(-0.566631\pi\)
0.676258 + 0.736664i \(0.263600\pi\)
\(74\) 7.76418 + 6.10582i 0.902568 + 0.709787i
\(75\) 2.88419 + 1.48690i 0.333037 + 0.171693i
\(76\) −0.0271124 0.0593678i −0.00311000 0.00680996i
\(77\) 2.51076 + 1.46190i 0.286127 + 0.166599i
\(78\) −0.770568 5.35942i −0.0872496 0.606835i
\(79\) 2.29606 0.219247i 0.258327 0.0246672i 0.0349108 0.999390i \(-0.488885\pi\)
0.223416 + 0.974723i \(0.428279\pi\)
\(80\) −2.17762 + 8.97629i −0.243466 + 1.00358i
\(81\) 0.235759 0.971812i 0.0261954 0.107979i
\(82\) 24.1810 2.30900i 2.67034 0.254987i
\(83\) −2.50066 17.3925i −0.274483 1.90907i −0.399170 0.916877i \(-0.630702\pi\)
0.124687 0.992196i \(-0.460207\pi\)
\(84\) −5.36231 + 3.06974i −0.585076 + 0.334936i
\(85\) 5.95885 + 13.0481i 0.646328 + 1.41526i
\(86\) 3.15695 + 1.62752i 0.340422 + 0.175500i
\(87\) 3.08040 + 2.42245i 0.330253 + 0.259714i
\(88\) 0.681568 0.351373i 0.0726553 0.0374564i
\(89\) −14.9562 2.88257i −1.58535 0.305552i −0.680983 0.732299i \(-0.738447\pi\)
−0.904371 + 0.426747i \(0.859659\pi\)
\(90\) −5.73651 1.68439i −0.604681 0.177550i
\(91\) 5.18308 + 4.52458i 0.543334 + 0.474305i
\(92\) −1.92546 + 11.0333i −0.200743 + 1.15030i
\(93\) −2.32378 4.02491i −0.240965 0.417364i
\(94\) 2.87504 2.74134i 0.296537 0.282748i
\(95\) 0.0262458 + 0.0758324i 0.00269277 + 0.00778024i
\(96\) 0.385149 8.08527i 0.0393091 0.825199i
\(97\) −2.13978 + 14.8825i −0.217262 + 1.51109i 0.530820 + 0.847485i \(0.321884\pi\)
−0.748082 + 0.663606i \(0.769025\pi\)
\(98\) 4.86804 13.7381i 0.491746 1.38776i
\(99\) −0.456175 0.998884i −0.0458473 0.100392i
\(100\) −2.47854 + 7.16127i −0.247854 + 0.716127i
\(101\) −11.7496 4.70383i −1.16913 0.468049i −0.295833 0.955240i \(-0.595597\pi\)
−0.873295 + 0.487191i \(0.838022\pi\)
\(102\) −6.03353 8.47290i −0.597408 0.838942i
\(103\) −5.54729 5.28933i −0.546591 0.521173i 0.365691 0.930736i \(-0.380833\pi\)
−0.912282 + 0.409563i \(0.865681\pi\)
\(104\) 1.74232 0.511591i 0.170848 0.0501656i
\(105\) 6.92201 3.13052i 0.675519 0.305507i
\(106\) −2.48796 17.3042i −0.241652 1.68073i
\(107\) 0.402266 1.16227i 0.0388885 0.112361i −0.923885 0.382670i \(-0.875005\pi\)
0.962774 + 0.270309i \(0.0871258\pi\)
\(108\) 2.32480 + 0.221991i 0.223704 + 0.0213611i
\(109\) 0.610359 + 12.8130i 0.0584618 + 1.22726i 0.817388 + 0.576087i \(0.195421\pi\)
−0.758926 + 0.651176i \(0.774276\pi\)
\(110\) −6.09502 + 2.44008i −0.581138 + 0.232652i
\(111\) 3.99078 + 2.56472i 0.378788 + 0.243432i
\(112\) 5.23644 + 6.70922i 0.494797 + 0.633962i
\(113\) 13.9443 + 4.09441i 1.31177 + 0.385170i 0.861516 0.507731i \(-0.169516\pi\)
0.450253 + 0.892901i \(0.351334\pi\)
\(114\) −0.0290946 0.0503934i −0.00272496 0.00471977i
\(115\) 3.64619 13.2792i 0.340009 1.23830i
\(116\) −4.57594 + 7.92577i −0.424866 + 0.735889i
\(117\) −0.613078 2.52714i −0.0566791 0.233634i
\(118\) −1.83236 + 2.11465i −0.168682 + 0.194670i
\(119\) 12.8330 + 3.16318i 1.17640 + 0.289969i
\(120\) 0.285352 1.98467i 0.0260490 0.181175i
\(121\) 8.70537 + 4.48793i 0.791398 + 0.407994i
\(122\) −12.7330 1.21586i −1.15279 0.110079i
\(123\) 11.4554 2.20785i 1.03290 0.199076i
\(124\) 8.53165 6.70937i 0.766165 0.602519i
\(125\) −2.09351 + 4.58415i −0.187249 + 0.410019i
\(126\) −4.49909 + 3.17896i −0.400811 + 0.283204i
\(127\) −11.6491 + 3.42048i −1.03369 + 0.303519i −0.754210 0.656633i \(-0.771980\pi\)
−0.279479 + 0.960152i \(0.590162\pi\)
\(128\) 5.48287 0.523551i 0.484622 0.0462758i
\(129\) 1.58363 + 0.633989i 0.139431 + 0.0558196i
\(130\) −15.2663 + 2.94234i −1.33894 + 0.258060i
\(131\) 8.54840 12.0046i 0.746878 1.04884i −0.249872 0.968279i \(-0.580389\pi\)
0.996749 0.0805639i \(-0.0256721\pi\)
\(132\) 2.15741 1.38648i 0.187778 0.120678i
\(133\) 0.0697840 + 0.0244397i 0.00605104 + 0.00211919i
\(134\) 11.5889 + 7.44772i 1.00113 + 0.643385i
\(135\) −2.81950 0.543415i −0.242664 0.0467697i
\(136\) 2.52467 2.40727i 0.216489 0.206422i
\(137\) −1.27262 + 2.20424i −0.108727 + 0.188321i −0.915255 0.402875i \(-0.868011\pi\)
0.806528 + 0.591196i \(0.201344\pi\)
\(138\) −0.773854 + 9.95564i −0.0658748 + 0.847480i
\(139\) −6.63992 −0.563191 −0.281595 0.959533i \(-0.590864\pi\)
−0.281595 + 0.959533i \(0.590864\pi\)
\(140\) 9.53709 + 14.9605i 0.806031 + 1.26439i
\(141\) 1.24940 1.44188i 0.105218 0.121428i
\(142\) 0.0824872 1.73162i 0.00692217 0.145314i
\(143\) −2.24465 1.76521i −0.187707 0.147615i
\(144\) −0.153061 3.21314i −0.0127551 0.267762i
\(145\) 6.52707 9.16599i 0.542044 0.761194i
\(146\) 6.14006 + 7.08601i 0.508155 + 0.586442i
\(147\) 1.70021 6.79038i 0.140231 0.560061i
\(148\) −4.60224 + 10.0775i −0.378301 + 0.828365i
\(149\) 16.9872 + 16.1973i 1.39165 + 1.32693i 0.885619 + 0.464413i \(0.153735\pi\)
0.506026 + 0.862518i \(0.331114\pi\)
\(150\) −1.59288 + 6.56595i −0.130058 + 0.536107i
\(151\) −4.08057 5.73037i −0.332072 0.466330i 0.614456 0.788951i \(-0.289376\pi\)
−0.946528 + 0.322621i \(0.895436\pi\)
\(152\) 0.0153398 0.0120634i 0.00124422 0.000978467i
\(153\) −3.27142 3.77542i −0.264479 0.305225i
\(154\) −1.72561 + 5.79805i −0.139053 + 0.467220i
\(155\) −11.2265 + 7.21485i −0.901736 + 0.579510i
\(156\) 5.63798 2.25711i 0.451400 0.180713i
\(157\) −5.38711 + 2.77725i −0.429938 + 0.221649i −0.659592 0.751624i \(-0.729271\pi\)
0.229654 + 0.973272i \(0.426241\pi\)
\(158\) 1.57074 + 4.53836i 0.124962 + 0.361053i
\(159\) −1.97947 8.15948i −0.156982 0.647089i
\(160\) −23.2423 −1.83747
\(161\) −7.50361 10.2321i −0.591367 0.806403i
\(162\) 2.08216 0.163590
\(163\) −3.83285 15.7992i −0.300212 1.23749i −0.899487 0.436948i \(-0.856060\pi\)
0.599275 0.800543i \(-0.295456\pi\)
\(164\) 8.91098 + 25.7466i 0.695831 + 2.01047i
\(165\) −2.80262 + 1.44485i −0.218183 + 0.112481i
\(166\) 33.9655 13.5977i 2.63623 1.05539i
\(167\) 11.7756 7.56772i 0.911224 0.585608i 0.00112512 0.999999i \(-0.499642\pi\)
0.910099 + 0.414391i \(0.136005\pi\)
\(168\) −1.27001 1.34178i −0.0979836 0.103520i
\(169\) 4.08482 + 4.71413i 0.314217 + 0.362625i
\(170\) −23.4772 + 18.4626i −1.80062 + 1.41602i
\(171\) −0.0162106 0.0227647i −0.00123966 0.00174086i
\(172\) −0.939197 + 3.87142i −0.0716131 + 0.295193i
\(173\) −2.66393 2.54005i −0.202535 0.193117i 0.582023 0.813172i \(-0.302261\pi\)
−0.784558 + 0.620056i \(0.787110\pi\)
\(174\) −3.38961 + 7.42222i −0.256966 + 0.562677i
\(175\) −3.90593 7.64523i −0.295261 0.577925i
\(176\) −2.31324 2.66962i −0.174367 0.201230i
\(177\) −0.779504 + 1.09466i −0.0585911 + 0.0822797i
\(178\) −1.50902 31.6783i −0.113106 2.37439i
\(179\) 10.3185 + 8.11453i 0.771238 + 0.606508i 0.924282 0.381711i \(-0.124665\pi\)
−0.153044 + 0.988219i \(0.548908\pi\)
\(180\) 0.319073 6.69818i 0.0237823 0.499253i
\(181\) −4.42175 + 5.10297i −0.328666 + 0.379301i −0.895900 0.444256i \(-0.853468\pi\)
0.567234 + 0.823557i \(0.308014\pi\)
\(182\) −6.61102 + 12.7088i −0.490042 + 0.942041i
\(183\) −6.14313 −0.454113
\(184\) −3.34178 + 0.218279i −0.246359 + 0.0160917i
\(185\) 6.81073 11.7965i 0.500735 0.867298i
\(186\) 7.00354 6.67786i 0.513524 0.489645i
\(187\) −5.38663 1.03819i −0.393909 0.0759197i
\(188\) 3.74830 + 2.40888i 0.273373 + 0.175686i
\(189\) −2.00587 + 1.72525i −0.145906 + 0.125493i
\(190\) −0.140560 + 0.0903326i −0.0101973 + 0.00655341i
\(191\) 9.12063 12.8081i 0.659946 0.926764i −0.339961 0.940440i \(-0.610414\pi\)
0.999906 + 0.0136757i \(0.00435325\pi\)
\(192\) 10.2320 1.97205i 0.738430 0.142321i
\(193\) −15.6234 6.25467i −1.12460 0.450221i −0.266565 0.963817i \(-0.585889\pi\)
−0.858032 + 0.513596i \(0.828313\pi\)
\(194\) −31.1646 + 2.97586i −2.23749 + 0.213654i
\(195\) −7.16444 + 2.10367i −0.513056 + 0.150647i
\(196\) 16.2617 + 1.67338i 1.16155 + 0.119527i
\(197\) −0.640164 + 1.40176i −0.0456098 + 0.0998716i −0.931065 0.364853i \(-0.881119\pi\)
0.885455 + 0.464724i \(0.153847\pi\)
\(198\) 1.79727 1.41339i 0.127727 0.100445i
\(199\) −21.1228 + 4.07110i −1.49736 + 0.288592i −0.871132 0.491049i \(-0.836614\pi\)
−0.626227 + 0.779641i \(0.715402\pi\)
\(200\) −2.25564 0.215387i −0.159498 0.0152302i
\(201\) 5.88061 + 3.03167i 0.414786 + 0.213837i
\(202\) 3.75030 26.0839i 0.263870 1.83526i
\(203\) −2.88452 9.95888i −0.202454 0.698976i
\(204\) 7.63998 8.81701i 0.534906 0.617314i
\(205\) −7.89756 32.5542i −0.551589 2.27368i
\(206\) 7.97967 13.8212i 0.555970 0.962969i
\(207\) 0.0845248 + 4.79509i 0.00587488 + 0.333282i
\(208\) −4.18254 7.24436i −0.290007 0.502306i
\(209\) −0.0294456 0.00864601i −0.00203680 0.000598057i
\(210\) 9.73240 + 12.4697i 0.671600 + 0.860491i
\(211\) 0.955832 + 0.614276i 0.0658022 + 0.0422885i 0.573128 0.819466i \(-0.305730\pi\)
−0.507326 + 0.861754i \(0.669366\pi\)
\(212\) 18.2036 7.28761i 1.25023 0.500515i
\(213\) −0.0396163 0.831648i −0.00271446 0.0569836i
\(214\) 2.54928 + 0.243427i 0.174265 + 0.0166403i
\(215\) 1.60200 4.62869i 0.109256 0.315674i
\(216\) 0.0993776 + 0.691186i 0.00676179 + 0.0470293i
\(217\) −1.21377 + 12.2362i −0.0823958 + 0.830651i
\(218\) −25.6270 + 7.52477i −1.73568 + 0.509642i
\(219\) 3.25904 + 3.10749i 0.220225 + 0.209984i
\(220\) −4.27138 5.99832i −0.287977 0.404407i
\(221\) −12.0602 4.82818i −0.811258 0.324779i
\(222\) −3.23059 + 9.33418i −0.216823 + 0.626469i
\(223\) 5.05836 + 11.0763i 0.338733 + 0.741721i 0.999964 0.00846055i \(-0.00269311\pi\)
−0.661231 + 0.750182i \(0.729966\pi\)
\(224\) −13.3001 + 16.7853i −0.888651 + 1.12151i
\(225\) −0.461798 + 3.21188i −0.0307866 + 0.214125i
\(226\) −1.43982 + 30.2256i −0.0957757 + 2.01058i
\(227\) −3.50714 10.1332i −0.232777 0.672565i −0.999531 0.0306239i \(-0.990251\pi\)
0.766754 0.641941i \(-0.221871\pi\)
\(228\) 0.0472350 0.0450385i 0.00312822 0.00298275i
\(229\) 9.99036 + 17.3038i 0.660182 + 1.14347i 0.980568 + 0.196181i \(0.0628541\pi\)
−0.320386 + 0.947287i \(0.603813\pi\)
\(230\) 28.6599 + 0.859319i 1.88978 + 0.0566618i
\(231\) −0.560310 + 2.85081i −0.0368657 + 0.187569i
\(232\) −2.62564 0.770957i −0.172382 0.0506158i
\(233\) −20.0782 3.86975i −1.31536 0.253516i −0.517152 0.855893i \(-0.673008\pi\)
−0.798211 + 0.602378i \(0.794220\pi\)
\(234\) 4.81263 2.48108i 0.314611 0.162193i
\(235\) −4.30622 3.38645i −0.280907 0.220907i
\(236\) −2.78949 1.43808i −0.181580 0.0936112i
\(237\) 0.958155 + 2.09807i 0.0622389 + 0.136284i
\(238\) −0.101028 + 27.5199i −0.00654865 + 1.78385i
\(239\) 4.27986 + 29.7671i 0.276841 + 1.92547i 0.368388 + 0.929672i \(0.379910\pi\)
−0.0915470 + 0.995801i \(0.529181\pi\)
\(240\) −9.19483 + 0.878000i −0.593524 + 0.0566747i
\(241\) 4.12788 17.0154i 0.265900 1.09606i −0.669598 0.742724i \(-0.733534\pi\)
0.935498 0.353332i \(-0.114951\pi\)
\(242\) −4.80781 + 19.8181i −0.309058 + 1.27395i
\(243\) 0.995472 0.0950560i 0.0638596 0.00609785i
\(244\) −2.04172 14.2005i −0.130708 0.909092i
\(245\) −19.7081 3.94871i −1.25910 0.252274i
\(246\) 10.0908 + 22.0958i 0.643368 + 1.40878i
\(247\) −0.0645949 0.0333010i −0.00411008 0.00211889i
\(248\) 2.55103 + 2.00615i 0.161991 + 0.127391i
\(249\) 15.6180 8.05165i 0.989752 0.510253i
\(250\) −10.3035 1.98584i −0.651653 0.125596i
\(251\) 17.0637 + 5.01035i 1.07705 + 0.316251i 0.771698 0.635989i \(-0.219407\pi\)
0.305353 + 0.952239i \(0.401226\pi\)
\(252\) −4.65475 4.06338i −0.293222 0.255969i
\(253\) 3.32792 + 4.08164i 0.209225 + 0.256611i
\(254\) −12.6396 21.8924i −0.793079 1.37365i
\(255\) −10.3815 + 9.89872i −0.650114 + 0.619882i
\(256\) −3.06544 8.85700i −0.191590 0.553562i
\(257\) −1.05242 + 22.0931i −0.0656484 + 1.37813i 0.690312 + 0.723512i \(0.257473\pi\)
−0.755960 + 0.654617i \(0.772830\pi\)
\(258\) −0.505471 + 3.51563i −0.0314692 + 0.218873i
\(259\) −4.62195 11.6690i −0.287194 0.725078i
\(260\) −7.24400 15.8621i −0.449254 0.983729i
\(261\) −1.28172 + 3.70328i −0.0793364 + 0.229227i
\(262\) 28.4871 + 11.4045i 1.75994 + 0.704572i
\(263\) 3.49704 + 4.91091i 0.215637 + 0.302820i 0.908199 0.418539i \(-0.137458\pi\)
−0.692562 + 0.721358i \(0.743518\pi\)
\(264\) 0.554966 + 0.529159i 0.0341558 + 0.0325675i
\(265\) −23.1321 + 6.79220i −1.42099 + 0.417242i
\(266\) −0.0151968 + 0.153202i −0.000931775 + 0.00939344i
\(267\) −2.16766 15.0764i −0.132659 0.922662i
\(268\) −5.05353 + 14.6012i −0.308694 + 0.891911i
\(269\) 15.5267 + 1.48262i 0.946678 + 0.0903968i 0.556962 0.830538i \(-0.311967\pi\)
0.389716 + 0.920935i \(0.372573\pi\)
\(270\) −0.284477 5.97192i −0.0173127 0.363439i
\(271\) −21.8159 + 8.73378i −1.32522 + 0.530539i −0.922929 0.384971i \(-0.874211\pi\)
−0.402295 + 0.915510i \(0.631787\pi\)
\(272\) −13.5187 8.68797i −0.819694 0.526786i
\(273\) −2.58052 + 6.37786i −0.156180 + 0.386006i
\(274\) −5.08492 1.49307i −0.307191 0.0901994i
\(275\) 1.78165 + 3.08590i 0.107437 + 0.186087i
\(276\) −11.0562 + 1.78907i −0.665507 + 0.107690i
\(277\) −9.76707 + 16.9171i −0.586847 + 1.01645i 0.407796 + 0.913073i \(0.366298\pi\)
−0.994642 + 0.103375i \(0.967036\pi\)
\(278\) −3.25945 13.4356i −0.195489 0.805815i
\(279\) 3.04351 3.51240i 0.182210 0.210282i
\(280\) −3.67489 + 3.82590i −0.219617 + 0.228641i
\(281\) 2.67698 18.6188i 0.159695 1.11070i −0.739500 0.673156i \(-0.764938\pi\)
0.899195 0.437548i \(-0.144153\pi\)
\(282\) 3.53090 + 1.82031i 0.210262 + 0.108398i
\(283\) 12.5915 + 1.20234i 0.748485 + 0.0714716i 0.462325 0.886710i \(-0.347015\pi\)
0.286159 + 0.958182i \(0.407621\pi\)
\(284\) 1.90927 0.367982i 0.113294 0.0218357i
\(285\) −0.0630775 + 0.0496047i −0.00373639 + 0.00293833i
\(286\) 2.46997 5.40849i 0.146053 0.319811i
\(287\) −28.0295 12.9252i −1.65453 0.762950i
\(288\) 7.76655 2.28047i 0.457648 0.134378i
\(289\) −7.91998 + 0.756266i −0.465881 + 0.0444862i
\(290\) 21.7511 + 8.70782i 1.27727 + 0.511341i
\(291\) −14.7638 + 2.84550i −0.865472 + 0.166806i
\(292\) −6.10010 + 8.56639i −0.356981 + 0.501310i
\(293\) −2.16744 + 1.39293i −0.126623 + 0.0813757i −0.602419 0.798180i \(-0.705796\pi\)
0.475796 + 0.879556i \(0.342160\pi\)
\(294\) 14.5747 + 0.107011i 0.850013 + 0.00624101i
\(295\) 3.24614 + 2.08617i 0.188998 + 0.121462i
\(296\) −3.25274 0.626914i −0.189062 0.0364386i
\(297\) 0.794746 0.757789i 0.0461158 0.0439714i
\(298\) −24.4358 + 42.3240i −1.41553 + 2.45176i
\(299\) 5.90916 + 10.9825i 0.341735 + 0.635134i
\(300\) −7.57806 −0.437519
\(301\) −2.42605 3.80565i −0.139835 0.219354i
\(302\) 9.59208 11.0698i 0.551962 0.636998i
\(303\) 0.602206 12.6419i 0.0345958 0.726256i
\(304\) −0.0706649 0.0555715i −0.00405291 0.00318724i
\(305\) 0.839314 + 17.6194i 0.0480590 + 1.00888i
\(306\) 6.03353 8.47290i 0.344914 0.484364i
\(307\) −5.05928 5.83872i −0.288748 0.333233i 0.592780 0.805364i \(-0.298030\pi\)
−0.881528 + 0.472131i \(0.843485\pi\)
\(308\) −6.77615 0.347724i −0.386107 0.0198134i
\(309\) 3.18408 6.97217i 0.181136 0.396633i
\(310\) −20.1099 19.1748i −1.14217 1.08905i
\(311\) −3.55080 + 14.6366i −0.201347 + 0.829965i 0.778079 + 0.628166i \(0.216194\pi\)
−0.979427 + 0.201800i \(0.935321\pi\)
\(312\) 1.05331 + 1.47917i 0.0596320 + 0.0837414i
\(313\) −23.6395 + 18.5903i −1.33618 + 1.05078i −0.342386 + 0.939559i \(0.611235\pi\)
−0.993795 + 0.111225i \(0.964523\pi\)
\(314\) −8.26412 9.53731i −0.466372 0.538221i
\(315\) 5.22231 + 5.51741i 0.294244 + 0.310871i
\(316\) −4.53144 + 2.91218i −0.254914 + 0.163823i
\(317\) 30.4216 12.1790i 1.70865 0.684039i 0.708874 0.705335i \(-0.249203\pi\)
0.999773 + 0.0212956i \(0.00677911\pi\)
\(318\) 15.5387 8.01076i 0.871368 0.449221i
\(319\) 1.40748 + 4.06664i 0.0788037 + 0.227688i
\(320\) −7.05409 29.0774i −0.394336 1.62547i
\(321\) 1.22992 0.0686472
\(322\) 17.0209 20.2061i 0.948535 1.12604i
\(323\) −0.139610 −0.00776812
\(324\) 0.550585 + 2.26954i 0.0305880 + 0.126086i
\(325\) 2.75986 + 7.97410i 0.153090 + 0.442324i
\(326\) 30.0876 15.5113i 1.66640 0.859089i
\(327\) −11.9087 + 4.76751i −0.658551 + 0.263644i
\(328\) −6.85326 + 4.40432i −0.378408 + 0.243188i
\(329\) −4.90982 + 1.17204i −0.270687 + 0.0646168i
\(330\) −4.29936 4.96173i −0.236672 0.273134i
\(331\) 14.3218 11.2628i 0.787198 0.619060i −0.141482 0.989941i \(-0.545187\pi\)
0.928680 + 0.370881i \(0.120944\pi\)
\(332\) 23.8030 + 33.4266i 1.30636 + 1.83452i
\(333\) −1.11840 + 4.61013i −0.0612882 + 0.252633i
\(334\) 21.0935 + 20.1126i 1.15418 + 1.10051i
\(335\) 7.89180 17.2806i 0.431175 0.944142i
\(336\) −4.62755 + 7.14281i −0.252453 + 0.389672i
\(337\) 18.0366 + 20.8154i 0.982519 + 1.13389i 0.990992 + 0.133923i \(0.0427574\pi\)
−0.00847313 + 0.999964i \(0.502697\pi\)
\(338\) −7.53368 + 10.5796i −0.409778 + 0.575453i
\(339\) 0.691507 + 14.5165i 0.0375575 + 0.788429i
\(340\) −26.3323 20.7079i −1.42807 1.12304i
\(341\) 0.242838 5.09780i 0.0131504 0.276061i
\(342\) 0.0381058 0.0439765i 0.00206053 0.00237798i
\(343\) −14.1294 + 11.9733i −0.762916 + 0.646498i
\(344\) −1.19116 −0.0642232
\(345\) 13.7414 0.897565i 0.739814 0.0483233i
\(346\) 3.83201 6.63724i 0.206010 0.356820i
\(347\) −18.8357 + 17.9598i −1.01115 + 0.964132i −0.999359 0.0357988i \(-0.988602\pi\)
−0.0117931 + 0.999930i \(0.503754\pi\)
\(348\) −8.98650 1.73201i −0.481727 0.0928453i
\(349\) −5.63167 3.61925i −0.301456 0.193734i 0.381164 0.924507i \(-0.375523\pi\)
−0.682620 + 0.730773i \(0.739160\pi\)
\(350\) 13.5525 11.6565i 0.724410 0.623064i
\(351\) 2.18763 1.40591i 0.116767 0.0750417i
\(352\) 5.15592 7.24048i 0.274812 0.385919i
\(353\) −11.5731 + 2.23054i −0.615976 + 0.118720i −0.487689 0.873017i \(-0.662160\pi\)
−0.128287 + 0.991737i \(0.540948\pi\)
\(354\) −2.59765 1.03994i −0.138064 0.0552724i
\(355\) −2.37987 + 0.227250i −0.126310 + 0.0120612i
\(356\) 34.1302 10.0215i 1.80890 0.531140i
\(357\) 1.20806 + 13.1618i 0.0639371 + 0.696596i
\(358\) −11.3542 + 24.8623i −0.600091 + 1.31401i
\(359\) 25.8444 20.3243i 1.36402 1.07267i 0.374659 0.927163i \(-0.377760\pi\)
0.989357 0.145511i \(-0.0464825\pi\)
\(360\) 1.96884 0.379463i 0.103767 0.0199995i
\(361\) 18.9132 + 1.80599i 0.995431 + 0.0950521i
\(362\) −12.4963 6.44227i −0.656789 0.338598i
\(363\) −1.39385 + 9.69445i −0.0731582 + 0.508826i
\(364\) −15.6007 3.84539i −0.817700 0.201553i
\(365\) 8.46744 9.77195i 0.443206 0.511487i
\(366\) −3.01558 12.4304i −0.157627 0.649747i
\(367\) −7.63898 + 13.2311i −0.398751 + 0.690658i −0.993572 0.113201i \(-0.963890\pi\)
0.594821 + 0.803858i \(0.297223\pi\)
\(368\) 4.60654 + 14.7233i 0.240133 + 0.767508i
\(369\) 5.83313 + 10.1033i 0.303661 + 0.525956i
\(370\) 27.2131 + 7.99050i 1.41474 + 0.415406i
\(371\) −8.33182 + 20.5925i −0.432566 + 1.06911i
\(372\) 9.13079 + 5.86800i 0.473409 + 0.304242i
\(373\) −4.20743 + 1.68440i −0.217853 + 0.0872150i −0.478022 0.878348i \(-0.658646\pi\)
0.260169 + 0.965563i \(0.416222\pi\)
\(374\) −0.543490 11.4093i −0.0281032 0.589959i
\(375\) −5.01675 0.479041i −0.259064 0.0247376i
\(376\) −0.435740 + 1.25899i −0.0224716 + 0.0649273i
\(377\) 1.45028 + 10.0869i 0.0746933 + 0.519504i
\(378\) −4.47563 3.21191i −0.230201 0.165203i
\(379\) 22.0426 6.47230i 1.13225 0.332460i 0.338661 0.940909i \(-0.390026\pi\)
0.793593 + 0.608449i \(0.208208\pi\)
\(380\) −0.135630 0.129323i −0.00695770 0.00663415i
\(381\) −7.04240 9.88967i −0.360793 0.506663i
\(382\) 30.3940 + 12.1679i 1.55509 + 0.622564i
\(383\) 5.62846 16.2624i 0.287601 0.830968i −0.704963 0.709244i \(-0.749036\pi\)
0.992564 0.121724i \(-0.0388423\pi\)
\(384\) 2.28803 + 5.01008i 0.116760 + 0.255670i
\(385\) 8.25308 + 1.21755i 0.420616 + 0.0620523i
\(386\) 4.98676 34.6837i 0.253820 1.76535i
\(387\) −0.0811661 + 1.70389i −0.00412591 + 0.0866134i
\(388\) −11.4845 33.1824i −0.583039 1.68458i
\(389\) −13.0092 + 12.4043i −0.659594 + 0.628922i −0.944064 0.329763i \(-0.893031\pi\)
0.284470 + 0.958685i \(0.408183\pi\)
\(390\) −7.77363 13.4643i −0.393633 0.681792i
\(391\) 19.7575 + 13.5509i 0.999182 + 0.685299i
\(392\) 0.660101 + 4.84328i 0.0333401 + 0.244623i
\(393\) 14.1402 + 4.15194i 0.713280 + 0.209438i
\(394\) −3.15067 0.607241i −0.158728 0.0305924i
\(395\) 5.88665 3.03478i 0.296189 0.152696i
\(396\) 2.01584 + 1.58528i 0.101300 + 0.0796632i
\(397\) 30.4233 + 15.6843i 1.52690 + 0.787171i 0.998102 0.0615769i \(-0.0196129\pi\)
0.528797 + 0.848748i \(0.322643\pi\)
\(398\) −18.6066 40.7428i −0.932666 2.04225i
\(399\) −0.000271437 0.0739393i −1.35888e−5 0.00370160i
\(400\) 1.48551 + 10.3319i 0.0742753 + 0.516596i
\(401\) 16.7359 1.59809i 0.835751 0.0798046i 0.331600 0.943420i \(-0.392411\pi\)
0.504151 + 0.863615i \(0.331805\pi\)
\(402\) −3.24775 + 13.3874i −0.161983 + 0.667703i
\(403\) 2.84932 11.7451i 0.141935 0.585063i
\(404\) 29.4231 2.80956i 1.46385 0.139781i
\(405\) −0.408642 2.84217i −0.0203056 0.141228i
\(406\) 18.7355 10.7254i 0.929825 0.532293i
\(407\) 2.16403 + 4.73855i 0.107267 + 0.234881i
\(408\) 3.10061 + 1.59848i 0.153503 + 0.0791363i
\(409\) −25.0080 19.6665i −1.23657 0.972447i −1.00000 0.000832309i \(-0.999735\pi\)
−0.236568 0.971615i \(-0.576023\pi\)
\(410\) 61.9953 31.9608i 3.06173 1.57843i
\(411\) −2.49924 0.481690i −0.123279 0.0237600i
\(412\) 17.1751 + 5.04307i 0.846157 + 0.248454i
\(413\) 3.36417 1.15054i 0.165540 0.0566143i
\(414\) −9.66119 + 2.52488i −0.474821 + 0.124091i
\(415\) −25.2271 43.6946i −1.23835 2.14489i
\(416\) 15.2340 14.5256i 0.746907 0.712174i
\(417\) −2.17171 6.27473i −0.106349 0.307275i
\(418\) 0.00304042 0.0638263i 0.000148712 0.00312185i
\(419\) −0.406442 + 2.82687i −0.0198560 + 0.138102i −0.997338 0.0729173i \(-0.976769\pi\)
0.977482 + 0.211019i \(0.0676782\pi\)
\(420\) −11.0184 + 13.9056i −0.537642 + 0.678526i
\(421\) −8.36692 18.3210i −0.407779 0.892911i −0.996422 0.0845181i \(-0.973065\pi\)
0.588643 0.808393i \(-0.299662\pi\)
\(422\) −0.773760 + 2.23563i −0.0376660 + 0.108829i
\(423\) 1.77121 + 0.709087i 0.0861194 + 0.0344770i
\(424\) 3.40087 + 4.77585i 0.165161 + 0.231936i
\(425\) 11.7319 + 11.1864i 0.569081 + 0.542618i
\(426\) 1.66336 0.488407i 0.0805901 0.0236634i
\(427\) 13.2048 + 9.47632i 0.639023 + 0.458591i
\(428\) 0.408772 + 2.84307i 0.0197588 + 0.137425i
\(429\) 0.933974 2.69854i 0.0450927 0.130287i
\(430\) 10.1524 + 0.969435i 0.489591 + 0.0467503i
\(431\) 0.231228 + 4.85406i 0.0111378 + 0.233812i 0.997571 + 0.0696511i \(0.0221886\pi\)
−0.986434 + 0.164161i \(0.947508\pi\)
\(432\) 2.98636 1.19556i 0.143681 0.0575213i
\(433\) 6.74138 + 4.33242i 0.323970 + 0.208203i 0.692509 0.721409i \(-0.256505\pi\)
−0.368539 + 0.929612i \(0.620142\pi\)
\(434\) −25.3554 + 3.55060i −1.21710 + 0.170434i
\(435\) 10.7967 + 3.17019i 0.517660 + 0.151999i
\(436\) −14.9785 25.9436i −0.717341 1.24247i
\(437\) 0.102822 + 0.0859704i 0.00491866 + 0.00411252i
\(438\) −4.68806 + 8.11997i −0.224004 + 0.387987i
\(439\) 3.79367 + 15.6377i 0.181062 + 0.746348i 0.987838 + 0.155490i \(0.0496955\pi\)
−0.806776 + 0.590858i \(0.798789\pi\)
\(440\) 1.44188 1.66402i 0.0687390 0.0793290i
\(441\) 6.97300 0.614213i 0.332048 0.0292482i
\(442\) 3.84945 26.7735i 0.183100 1.27349i
\(443\) −20.3376 10.4848i −0.966269 0.498146i −0.0985125 0.995136i \(-0.531408\pi\)
−0.867757 + 0.496989i \(0.834439\pi\)
\(444\) −11.0285 1.05309i −0.523389 0.0499775i
\(445\) −42.9451 + 8.27700i −2.03580 + 0.392367i
\(446\) −19.9293 + 15.6726i −0.943681 + 0.742119i
\(447\) −9.75045 + 21.3505i −0.461181 + 1.00984i
\(448\) −25.0359 11.5448i −1.18284 0.545439i
\(449\) 29.4099 8.63552i 1.38794 0.407535i 0.499413 0.866364i \(-0.333549\pi\)
0.888525 + 0.458828i \(0.151731\pi\)
\(450\) −6.72580 + 0.642237i −0.317057 + 0.0302753i
\(451\) 11.8933 + 4.76135i 0.560032 + 0.224203i
\(452\) −33.3266 + 6.42317i −1.56755 + 0.302120i
\(453\) 4.08057 5.73037i 0.191722 0.269236i
\(454\) 18.7826 12.0708i 0.881510 0.566512i
\(455\) 18.6452 + 6.52990i 0.874100 + 0.306127i
\(456\) 0.0164170 + 0.0105506i 0.000768798 + 0.000494077i
\(457\) −14.9359 2.87866i −0.698672 0.134658i −0.172467 0.985015i \(-0.555174\pi\)
−0.526206 + 0.850357i \(0.676386\pi\)
\(458\) −30.1095 + 28.7093i −1.40692 + 1.34150i
\(459\) 2.49780 4.32632i 0.116587 0.201935i
\(460\) 6.64189 + 31.4664i 0.309680 + 1.46713i
\(461\) −0.993311 −0.0462631 −0.0231316 0.999732i \(-0.507364\pi\)
−0.0231316 + 0.999732i \(0.507364\pi\)
\(462\) −6.04355 + 0.265657i −0.281171 + 0.0123595i
\(463\) 3.67147 4.23711i 0.170628 0.196915i −0.663995 0.747737i \(-0.731140\pi\)
0.834623 + 0.550822i \(0.185686\pi\)
\(464\) −0.599817 + 12.5917i −0.0278458 + 0.584555i
\(465\) −10.4899 8.24933i −0.486456 0.382553i
\(466\) −2.02581 42.5270i −0.0938439 1.97003i
\(467\) −10.0067 + 14.0525i −0.463057 + 0.650272i −0.978402 0.206710i \(-0.933724\pi\)
0.515345 + 0.856983i \(0.327664\pi\)
\(468\) 3.97697 + 4.58967i 0.183836 + 0.212158i
\(469\) −7.96386 15.5880i −0.367737 0.719786i
\(470\) 4.73848 10.3758i 0.218570 0.478601i
\(471\) −4.38646 4.18248i −0.202117 0.192718i
\(472\) 0.221235 0.911944i 0.0101832 0.0419756i
\(473\) 1.08656 + 1.52586i 0.0499600 + 0.0701590i
\(474\) −3.77502 + 2.96870i −0.173392 + 0.136357i
\(475\) 0.0593855 + 0.0685346i 0.00272479 + 0.00314458i
\(476\) −30.0233 + 7.16697i −1.37611 + 0.328497i
\(477\) 7.06330 4.53931i 0.323406 0.207841i
\(478\) −58.1317 + 23.2724i −2.65888 + 1.06446i
\(479\) −17.4911 + 9.01727i −0.799187 + 0.412009i −0.808902 0.587943i \(-0.799938\pi\)
0.00971523 + 0.999953i \(0.496907\pi\)
\(480\) −7.60182 21.9640i −0.346974 1.00252i
\(481\) 2.90835 + 11.9884i 0.132609 + 0.546623i
\(482\) 36.4563 1.66054
\(483\) 7.21515 10.4375i 0.328301 0.474923i
\(484\) −22.8729 −1.03968
\(485\) 10.1784 + 41.9560i 0.462179 + 1.90513i
\(486\) 0.681006 + 1.96764i 0.0308911 + 0.0892539i
\(487\) −13.8560 + 7.14324i −0.627873 + 0.323691i −0.742629 0.669703i \(-0.766422\pi\)
0.114756 + 0.993394i \(0.463391\pi\)
\(488\) 3.98243 1.59432i 0.180276 0.0721717i
\(489\) 13.6767 8.78947i 0.618481 0.397473i
\(490\) −1.68437 41.8169i −0.0760919 1.88910i
\(491\) −2.81929 3.25363i −0.127233 0.146834i 0.688559 0.725181i \(-0.258244\pi\)
−0.815791 + 0.578346i \(0.803698\pi\)
\(492\) −21.4161 + 16.8418i −0.965510 + 0.759286i
\(493\) 11.3557 + 15.9468i 0.511434 + 0.718208i
\(494\) 0.0356745 0.147052i 0.00160507 0.00661620i
\(495\) −2.28203 2.17591i −0.102570 0.0977999i
\(496\) 6.21054 13.5992i 0.278862 0.610622i
\(497\) −1.19773 + 1.84875i −0.0537257 + 0.0829279i
\(498\) 23.9589 + 27.6500i 1.07362 + 1.23903i
\(499\) 2.27187 3.19040i 0.101703 0.142822i −0.760588 0.649235i \(-0.775089\pi\)
0.862291 + 0.506413i \(0.169029\pi\)
\(500\) −0.560004 11.7559i −0.0250441 0.525741i
\(501\) 11.0029 + 8.65280i 0.491575 + 0.386579i
\(502\) −1.76192 + 36.9873i −0.0786384 + 1.65082i
\(503\) −8.01921 + 9.25467i −0.357559 + 0.412645i −0.905820 0.423662i \(-0.860744\pi\)
0.548261 + 0.836307i \(0.315290\pi\)
\(504\) 0.852602 1.63902i 0.0379779 0.0730075i
\(505\) −36.3409 −1.61715
\(506\) −6.62542 + 8.73755i −0.294536 + 0.388432i
\(507\) −3.11884 + 5.40200i −0.138513 + 0.239911i
\(508\) 20.5204 19.5661i 0.910444 0.868106i
\(509\) 13.7310 + 2.64644i 0.608617 + 0.117301i 0.484242 0.874934i \(-0.339095\pi\)
0.124375 + 0.992235i \(0.460308\pi\)
\(510\) −25.1258 16.1474i −1.11259 0.715018i
\(511\) −2.21179 11.7069i −0.0978437 0.517885i
\(512\) 25.6840 16.5061i 1.13508 0.729472i
\(513\) 0.0162106 0.0227647i 0.000715717 0.00100508i
\(514\) −45.2212 + 8.71567i −1.99462 + 0.384432i
\(515\) −20.4322 8.17982i −0.900350 0.360446i
\(516\) −3.96568 + 0.378677i −0.174579 + 0.0166703i
\(517\) 2.01021 0.590252i 0.0884091 0.0259592i
\(518\) 21.3430 15.0805i 0.937758 0.662599i
\(519\) 1.52907 3.34819i 0.0671185 0.146969i
\(520\) 4.09855 3.22314i 0.179733 0.141344i
\(521\) 33.2405 6.40659i 1.45629 0.280678i 0.601179 0.799115i \(-0.294698\pi\)
0.855116 + 0.518437i \(0.173486\pi\)
\(522\) −8.12263 0.775618i −0.355518 0.0339479i
\(523\) 9.35226 + 4.82142i 0.408946 + 0.210826i 0.650410 0.759584i \(-0.274597\pi\)
−0.241464 + 0.970410i \(0.577628\pi\)
\(524\) −4.89802 + 34.0665i −0.213971 + 1.48820i
\(525\) 5.94725 6.19162i 0.259559 0.270224i
\(526\) −8.22039 + 9.48683i −0.358426 + 0.413646i
\(527\) −5.47370 22.5629i −0.238438 0.982856i
\(528\) 1.76621 3.05916i 0.0768642 0.133133i
\(529\) −6.20684 22.1467i −0.269863 0.962899i
\(530\) −25.0990 43.4728i −1.09023 1.88834i
\(531\) −1.28941 0.378604i −0.0559555 0.0164300i
\(532\) −0.171008 + 0.0239469i −0.00741416 + 0.00103823i
\(533\) 25.5215 + 16.4017i 1.10546 + 0.710435i
\(534\) 29.4425 11.7870i 1.27410 0.510073i
\(535\) −0.168039 3.52757i −0.00726496 0.152510i
\(536\) −4.59905 0.439156i −0.198649 0.0189687i
\(537\) −4.29340 + 12.4050i −0.185274 + 0.535313i
\(538\) 4.62182 + 32.1454i 0.199261 + 1.38589i
\(539\) 5.60202 5.26353i 0.241296 0.226716i
\(540\) 6.43414 1.88923i 0.276881 0.0812997i
\(541\) −2.74922 2.62137i −0.118198 0.112702i 0.628675 0.777668i \(-0.283597\pi\)
−0.746873 + 0.664966i \(0.768446\pi\)
\(542\) −28.3816 39.8564i −1.21910 1.71198i
\(543\) −6.26853 2.50954i −0.269008 0.107695i
\(544\) 13.2255 38.2126i 0.567039 1.63835i
\(545\) 15.3009 + 33.5044i 0.655421 + 1.43517i
\(546\) −14.1721 2.09077i −0.606510 0.0894768i
\(547\) 1.82456 12.6901i 0.0780125 0.542589i −0.912911 0.408159i \(-0.866171\pi\)
0.990923 0.134429i \(-0.0429202\pi\)
\(548\) 0.282831 5.93735i 0.0120819 0.253631i
\(549\) −2.00922 5.80526i −0.0857515 0.247763i
\(550\) −5.36962 + 5.11992i −0.228961 + 0.218314i
\(551\) 0.0547589 + 0.0948451i 0.00233281 + 0.00404054i
\(552\) −1.29926 3.08659i −0.0553003 0.131374i
\(553\) 1.17688 5.98787i 0.0500461 0.254630i
\(554\) −39.0256 11.4589i −1.65804 0.486844i
\(555\) 13.3753 + 2.57788i 0.567750 + 0.109425i
\(556\) 13.7829 7.10557i 0.584524 0.301343i
\(557\) −15.7776 12.4076i −0.668519 0.525729i 0.225225 0.974307i \(-0.427688\pi\)
−0.893744 + 0.448578i \(0.851931\pi\)
\(558\) 8.60122 + 4.43424i 0.364119 + 0.187716i
\(559\) 1.84273 + 4.03503i 0.0779394 + 0.170663i
\(560\) 21.1188 + 12.2966i 0.892434 + 0.519625i
\(561\) −0.780705 5.42992i −0.0329614 0.229252i
\(562\) 38.9885 3.72295i 1.64463 0.157043i
\(563\) 3.81022 15.7059i 0.160582 0.661927i −0.833427 0.552629i \(-0.813625\pi\)
0.994009 0.109298i \(-0.0348602\pi\)
\(564\) −1.05045 + 4.33001i −0.0442319 + 0.182326i
\(565\) 41.5410 3.96668i 1.74764 0.166879i
\(566\) 3.74809 + 26.0686i 0.157544 + 1.09574i
\(567\) −2.28642 1.33128i −0.0960204 0.0559084i
\(568\) 0.241519 + 0.528854i 0.0101339 + 0.0221902i
\(569\) −2.91806 1.50437i −0.122332 0.0630663i 0.395974 0.918262i \(-0.370407\pi\)
−0.518306 + 0.855195i \(0.673437\pi\)
\(570\) −0.131337 0.103285i −0.00550111 0.00432612i
\(571\) 15.8239 8.15781i 0.662211 0.341394i −0.0941404 0.995559i \(-0.530010\pi\)
0.756352 + 0.654165i \(0.226980\pi\)
\(572\) 6.54836 + 1.26209i 0.273801 + 0.0527708i
\(573\) 15.0868 + 4.42987i 0.630258 + 0.185061i
\(574\) 12.3944 63.0614i 0.517331 2.63213i
\(575\) −1.75207 15.4631i −0.0730663 0.644855i
\(576\) 5.21015 + 9.02424i 0.217090 + 0.376010i
\(577\) −19.3840 + 18.4826i −0.806965 + 0.769440i −0.976370 0.216107i \(-0.930664\pi\)
0.169404 + 0.985547i \(0.445816\pi\)
\(578\) −5.41809 15.6545i −0.225363 0.651143i
\(579\) 0.800751 16.8098i 0.0332781 0.698593i
\(580\) −3.73985 + 26.0112i −0.155289 + 1.08006i
\(581\) −45.9916 6.78501i −1.90805 0.281490i
\(582\) −13.0051 28.4773i −0.539080 1.18042i
\(583\) 3.01556 8.71289i 0.124892 0.360851i
\(584\) −2.91923 1.16868i −0.120799 0.0483605i
\(585\) −4.33123 6.08236i −0.179074 0.251475i
\(586\) −3.88250 3.70196i −0.160385 0.152926i
\(587\) −38.7322 + 11.3728i −1.59865 + 0.469405i −0.955170 0.296059i \(-0.904327\pi\)
−0.643478 + 0.765464i \(0.722509\pi\)
\(588\) 3.73735 + 15.9147i 0.154126 + 0.656309i
\(589\) −0.0184844 0.128562i −0.000761636 0.00529730i
\(590\) −2.62780 + 7.59252i −0.108185 + 0.312579i
\(591\) −1.53405 0.146484i −0.0631022 0.00602553i
\(592\) 0.726097 + 15.2427i 0.0298424 + 0.626469i
\(593\) 30.6112 12.2549i 1.25705 0.503248i 0.354996 0.934868i \(-0.384482\pi\)
0.902055 + 0.431620i \(0.142058\pi\)
\(594\) 1.92349 + 1.23615i 0.0789216 + 0.0507199i
\(595\) 37.5848 5.26313i 1.54083 0.215767i
\(596\) −52.5945 15.4431i −2.15435 0.632576i
\(597\) −10.7558 18.6296i −0.440205 0.762458i
\(598\) −19.3219 + 17.3481i −0.790132 + 0.709417i
\(599\) 10.9469 18.9605i 0.447277 0.774707i −0.550930 0.834551i \(-0.685727\pi\)
0.998208 + 0.0598442i \(0.0190604\pi\)
\(600\) −0.534206 2.20203i −0.0218089 0.0898973i
\(601\) 18.8427 21.7456i 0.768610 0.887023i −0.227622 0.973749i \(-0.573095\pi\)
0.996232 + 0.0867266i \(0.0276407\pi\)
\(602\) 6.50968 6.77717i 0.265315 0.276217i
\(603\) −0.941567 + 6.54874i −0.0383436 + 0.266685i
\(604\) 14.6025 + 7.52812i 0.594168 + 0.306315i
\(605\) 27.9955 + 2.67324i 1.13818 + 0.108683i
\(606\) 25.8759 4.98718i 1.05114 0.202590i
\(607\) −8.85687 + 6.96512i −0.359489 + 0.282705i −0.781525 0.623874i \(-0.785558\pi\)
0.422036 + 0.906579i \(0.361316\pi\)
\(608\) 0.0939719 0.205770i 0.00381107 0.00834507i
\(609\) 8.46772 5.98311i 0.343129 0.242448i
\(610\) −35.2401 + 10.3474i −1.42683 + 0.418956i
\(611\) 4.93887 0.471605i 0.199805 0.0190791i
\(612\) 10.8309 + 4.33603i 0.437812 + 0.175274i
\(613\) 26.4106 5.09023i 1.06672 0.205593i 0.374459 0.927244i \(-0.377829\pi\)
0.692257 + 0.721651i \(0.256616\pi\)
\(614\) 9.33089 13.1034i 0.376564 0.528810i
\(615\) 28.1807 18.1106i 1.13635 0.730291i
\(616\) −0.376635 1.99352i −0.0151750 0.0803212i
\(617\) −10.2455 6.58439i −0.412468 0.265077i 0.317909 0.948121i \(-0.397019\pi\)
−0.730377 + 0.683044i \(0.760656\pi\)
\(618\) 15.6709 + 3.02033i 0.630378 + 0.121495i
\(619\) −21.5014 + 20.5015i −0.864214 + 0.824026i −0.985690 0.168568i \(-0.946086\pi\)
0.121476 + 0.992594i \(0.461237\pi\)
\(620\) 15.5828 26.9901i 0.625818 1.08395i
\(621\) −4.50372 + 1.64820i −0.180728 + 0.0661398i
\(622\) −31.3597 −1.25741
\(623\) −18.5973 + 35.7508i −0.745084 + 1.43233i
\(624\) 5.47796 6.32190i 0.219294 0.253079i
\(625\) −1.46053 + 30.6603i −0.0584213 + 1.22641i
\(626\) −49.2210 38.7078i −1.96727 1.54708i
\(627\) −0.00146023 0.0306540i −5.83159e−5 0.00122420i
\(628\) 8.21034 11.5298i 0.327628 0.460090i
\(629\) 15.5191 + 17.9100i 0.618788 + 0.714120i
\(630\) −8.60072 + 13.2756i −0.342661 + 0.528911i
\(631\) −9.92477 + 21.7322i −0.395099 + 0.865146i 0.602645 + 0.798009i \(0.294114\pi\)
−0.997744 + 0.0671363i \(0.978614\pi\)
\(632\) −1.16566 1.11145i −0.0463674 0.0442112i
\(633\) −0.267869 + 1.10417i −0.0106469 + 0.0438869i
\(634\) 39.5773 + 55.5785i 1.57181 + 2.20730i
\(635\) −27.4028 + 21.5498i −1.08745 + 0.855178i
\(636\) 12.8406 + 14.8188i 0.509163 + 0.587605i
\(637\) 15.3853 9.72865i 0.609587 0.385463i
\(638\) −7.53779 + 4.84424i −0.298424 + 0.191785i
\(639\) 0.772950 0.309443i 0.0305774 0.0122414i
\(640\) 14.0570 7.24690i 0.555653 0.286459i
\(641\) 7.02591 + 20.3000i 0.277507 + 0.801803i 0.994501 + 0.104724i \(0.0333960\pi\)
−0.716995 + 0.697079i \(0.754483\pi\)
\(642\) 0.603749 + 2.48869i 0.0238281 + 0.0982207i
\(643\) −1.86883 −0.0736994 −0.0368497 0.999321i \(-0.511732\pi\)
−0.0368497 + 0.999321i \(0.511732\pi\)
\(644\) 26.5254 + 13.2096i 1.04525 + 0.520530i
\(645\) 4.89808 0.192862
\(646\) −0.0685328 0.282496i −0.00269639 0.0111147i
\(647\) 12.1656 + 35.1502i 0.478279 + 1.38190i 0.883824 + 0.467820i \(0.154961\pi\)
−0.405545 + 0.914075i \(0.632918\pi\)
\(648\) −0.620668 + 0.319977i −0.0243822 + 0.0125699i
\(649\) −1.36999 + 0.548461i −0.0537768 + 0.0215290i
\(650\) −14.7805 + 9.49886i −0.579740 + 0.372576i
\(651\) −11.9602 + 2.85508i −0.468759 + 0.111899i
\(652\) 24.8633 + 28.6938i 0.973721 + 1.12373i
\(653\) 20.4801 16.1058i 0.801450 0.630267i −0.131075 0.991372i \(-0.541843\pi\)
0.932525 + 0.361105i \(0.117600\pi\)
\(654\) −15.4927 21.7564i −0.605812 0.850744i
\(655\) 9.97644 41.1234i 0.389812 1.60683i
\(656\) 27.1602 + 25.8972i 1.06043 + 1.01112i
\(657\) −1.87065 + 4.09615i −0.0729810 + 0.159806i
\(658\) −4.78175 9.35950i −0.186412 0.364871i
\(659\) 26.3166 + 30.3710i 1.02515 + 1.18309i 0.982931 + 0.183977i \(0.0588971\pi\)
0.0422186 + 0.999108i \(0.486557\pi\)
\(660\) 4.27138 5.99832i 0.166263 0.233484i
\(661\) 0.684178 + 14.3627i 0.0266114 + 0.558643i 0.972324 + 0.233638i \(0.0750629\pi\)
−0.945712 + 0.325005i \(0.894634\pi\)
\(662\) 29.8203 + 23.4509i 1.15900 + 0.911445i
\(663\) 0.618126 12.9761i 0.0240060 0.503949i
\(664\) −8.03511 + 9.27301i −0.311823 + 0.359863i
\(665\) 0.212106 0.00932355i 0.00822510 0.000361552i
\(666\) −9.87743 −0.382743
\(667\) 1.45647 18.7375i 0.0563946 0.725517i
\(668\) −16.3449 + 28.3102i −0.632403 + 1.09535i
\(669\) −8.81265 + 8.40285i −0.340717 + 0.324873i
\(670\) 38.8407 + 7.48593i 1.50055 + 0.289207i
\(671\) −5.67500 3.64710i −0.219081 0.140795i
\(672\) −20.2122 7.07869i −0.779701 0.273066i
\(673\) −14.2659 + 9.16815i −0.549911 + 0.353406i −0.785904 0.618349i \(-0.787802\pi\)
0.235993 + 0.971755i \(0.424166\pi\)
\(674\) −33.2652 + 46.7145i −1.28133 + 1.79937i
\(675\) −3.18627 + 0.614103i −0.122639 + 0.0236368i
\(676\) −13.5238 5.41412i −0.520147 0.208235i
\(677\) −28.8759 + 2.75731i −1.10979 + 0.105972i −0.633814 0.773485i \(-0.718512\pi\)
−0.475977 + 0.879458i \(0.657905\pi\)
\(678\) −29.0342 + 8.52520i −1.11505 + 0.327408i
\(679\) 36.1246 + 16.6581i 1.38633 + 0.639279i
\(680\) 4.16103 9.11138i 0.159568 0.349406i
\(681\) 8.42882 6.62850i 0.322993 0.254005i
\(682\) 10.4344 2.01107i 0.399554 0.0770077i
\(683\) −46.5194 4.44206i −1.78001 0.169971i −0.847427 0.530913i \(-0.821849\pi\)
−0.932588 + 0.360942i \(0.882455\pi\)
\(684\) 0.0580105 + 0.0299065i 0.00221809 + 0.00114350i
\(685\) −1.04009 + 7.23400i −0.0397399 + 0.276397i
\(686\) −31.1635 22.7128i −1.18983 0.867177i
\(687\) −13.0846 + 15.1004i −0.499208 + 0.576117i
\(688\) 1.29367 + 5.33258i 0.0493207 + 0.203303i
\(689\) 10.9169 18.9086i 0.415900 0.720359i
\(690\) 8.56168 + 27.3647i 0.325938 + 1.04176i
\(691\) 6.80292 + 11.7830i 0.258795 + 0.448247i 0.965919 0.258843i \(-0.0833411\pi\)
−0.707124 + 0.707089i \(0.750008\pi\)
\(692\) 8.24786 + 2.42179i 0.313537 + 0.0920627i
\(693\) −2.87728 + 0.402914i −0.109299 + 0.0153055i
\(694\) −45.5871 29.2971i −1.73046 1.11210i
\(695\) −17.7001 + 7.08605i −0.671403 + 0.268789i
\(696\) −0.130207 2.73339i −0.00493549 0.103609i
\(697\) 58.0161 + 5.53986i 2.19752 + 0.209837i
\(698\) 4.55891 13.1721i 0.172557 0.498572i
\(699\) −2.91001 20.2395i −0.110067 0.765530i
\(700\) 16.2892 + 11.6898i 0.615673 + 0.441834i
\(701\) −40.9474 + 12.0232i −1.54656 + 0.454111i −0.940071 0.340980i \(-0.889241\pi\)
−0.606490 + 0.795091i \(0.707423\pi\)
\(702\) 3.91868 + 3.73645i 0.147901 + 0.141023i
\(703\) 0.0769008 + 0.107992i 0.00290037 + 0.00407300i
\(704\) 10.6231 + 4.25283i 0.400372 + 0.160285i
\(705\) 1.79177 5.17698i 0.0674819 0.194976i
\(706\) −10.1945 22.3229i −0.383676 0.840133i
\(707\) −20.7956 + 26.2449i −0.782100 + 0.987042i
\(708\) 0.446636 3.10642i 0.0167856 0.116747i
\(709\) −2.15081 + 45.1512i −0.0807756 + 1.69569i 0.487719 + 0.873001i \(0.337829\pi\)
−0.568495 + 0.822687i \(0.692474\pi\)
\(710\) −1.62808 4.70403i −0.0611007 0.176539i
\(711\) −1.66929 + 1.59167i −0.0626034 + 0.0596922i
\(712\) 5.31801 + 9.21107i 0.199301 + 0.345199i
\(713\) −9.86263 + 19.9881i −0.369358 + 0.748561i
\(714\) −26.0394 + 8.90540i −0.974499 + 0.333276i
\(715\) −7.86741 2.31008i −0.294224 0.0863921i
\(716\) −30.1022 5.80173i −1.12497 0.216821i
\(717\) −26.7301 + 13.7803i −0.998254 + 0.514636i
\(718\) 53.8121 + 42.3183i 2.00825 + 1.57930i
\(719\) −31.6477 16.3155i −1.18026 0.608466i −0.247472 0.968895i \(-0.579600\pi\)
−0.932787 + 0.360429i \(0.882630\pi\)
\(720\) −3.83705 8.40196i −0.142998 0.313123i
\(721\) −17.5994 + 10.0751i −0.655437 + 0.375215i
\(722\) 5.62988 + 39.1567i 0.209522 + 1.45726i
\(723\) 17.4296 1.66433i 0.648215 0.0618970i
\(724\) 3.71766 15.3244i 0.138166 0.569527i
\(725\) 2.99795 12.3577i 0.111341 0.458955i
\(726\) −20.3006 + 1.93847i −0.753425 + 0.0719433i
\(727\) −6.62984 46.1115i −0.245887 1.71018i −0.621507 0.783409i \(-0.713479\pi\)
0.375620 0.926774i \(-0.377430\pi\)
\(728\) 0.0176370 4.80432i 0.000653672 0.178060i
\(729\) 0.415415 + 0.909632i 0.0153857 + 0.0336901i
\(730\) 23.9297 + 12.3366i 0.885679 + 0.456599i
\(731\) 6.69842 + 5.26770i 0.247750 + 0.194833i
\(732\) 12.7517 6.57394i 0.471315 0.242980i
\(733\) −42.0585 8.10610i −1.55346 0.299406i −0.660952 0.750428i \(-0.729847\pi\)
−0.892513 + 0.451022i \(0.851059\pi\)
\(734\) −30.5225 8.96222i −1.12661 0.330801i
\(735\) −2.71435 19.9156i −0.100120 0.734599i
\(736\) −33.2714 + 19.9993i −1.22640 + 0.737183i
\(737\) 3.63262 + 6.29189i 0.133809 + 0.231765i
\(738\) −17.5802 + 16.7627i −0.647136 + 0.617043i
\(739\) −10.5256 30.4117i −0.387190 1.11871i −0.955269 0.295738i \(-0.904435\pi\)
0.568079 0.822974i \(-0.307687\pi\)
\(740\) −1.51364 + 31.7751i −0.0556424 + 1.16808i
\(741\) 0.0103425 0.0719340i 0.000379943 0.00264256i
\(742\) −45.7580 6.75056i −1.67983 0.247821i
\(743\) 0.00428227 + 0.00937687i 0.000157101 + 0.000344004i 0.909711 0.415243i \(-0.136303\pi\)
−0.909553 + 0.415587i \(0.863576\pi\)
\(744\) −1.06146 + 3.06687i −0.0389148 + 0.112437i
\(745\) 62.5685 + 25.0486i 2.29233 + 0.917711i
\(746\) −5.47370 7.68673i −0.200406 0.281431i
\(747\) 12.7170 + 12.1256i 0.465290 + 0.443653i
\(748\) 12.2923 3.60936i 0.449452 0.131971i
\(749\) −2.64372 1.89725i −0.0965996 0.0693241i
\(750\) −1.49333 10.3864i −0.0545288 0.379256i
\(751\) −14.7211 + 42.5339i −0.537182 + 1.55209i 0.270653 + 0.962677i \(0.412760\pi\)
−0.807835 + 0.589409i \(0.799361\pi\)
\(752\) 6.10945 + 0.583382i 0.222789 + 0.0212737i
\(753\) 0.846200 + 17.7639i 0.0308373 + 0.647354i
\(754\) −19.6986 + 7.88614i −0.717381 + 0.287196i
\(755\) −16.9930 10.9207i −0.618439 0.397447i
\(756\) 2.31747 5.72774i 0.0842857 0.208316i
\(757\) −26.6195 7.81618i −0.967501 0.284084i −0.240446 0.970663i \(-0.577294\pi\)
−0.727056 + 0.686579i \(0.759112\pi\)
\(758\) 23.9169 + 41.4253i 0.868701 + 1.50463i
\(759\) −2.76870 + 4.47986i −0.100497 + 0.162609i
\(760\) 0.0280176 0.0485279i 0.00101630 0.00176029i
\(761\) 3.25371 + 13.4120i 0.117947 + 0.486183i 0.999890 + 0.0148278i \(0.00472000\pi\)
−0.881943 + 0.471356i \(0.843765\pi\)
\(762\) 16.5544 19.1047i 0.599701 0.692092i
\(763\) 32.9522 + 8.12232i 1.19295 + 0.294048i
\(764\) −5.22589 + 36.3469i −0.189066 + 1.31498i
\(765\) −12.7498 6.57295i −0.460968 0.237646i
\(766\) 35.6692 + 3.40600i 1.28878 + 0.123064i
\(767\) −3.43143 + 0.661355i −0.123902 + 0.0238801i
\(768\) 7.36726 5.79368i 0.265843 0.209061i
\(769\) −2.35260 + 5.15148i −0.0848370 + 0.185767i −0.947296 0.320360i \(-0.896196\pi\)
0.862459 + 0.506127i \(0.168923\pi\)
\(770\) 1.58765 + 17.2975i 0.0572150 + 0.623358i
\(771\) −21.2222 + 6.23140i −0.764299 + 0.224418i
\(772\) 39.1237 3.73586i 1.40809 0.134457i