Properties

Label 260.2.p.d.103.10
Level $260$
Weight $2$
Character 260.103
Analytic conductor $2.076$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.p (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 103.10
Character \(\chi\) \(=\) 260.103
Dual form 260.2.p.d.207.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.702829 - 1.22720i) q^{2} +(1.63423 - 1.63423i) q^{3} +(-1.01206 + 1.72503i) q^{4} +(-1.85457 - 1.24923i) q^{5} +(-3.15411 - 0.856948i) q^{6} +(1.80181 - 1.80181i) q^{7} +(2.82827 + 0.0296052i) q^{8} -2.34139i q^{9} +O(q^{10})\) \(q+(-0.702829 - 1.22720i) q^{2} +(1.63423 - 1.63423i) q^{3} +(-1.01206 + 1.72503i) q^{4} +(-1.85457 - 1.24923i) q^{5} +(-3.15411 - 0.856948i) q^{6} +(1.80181 - 1.80181i) q^{7} +(2.82827 + 0.0296052i) q^{8} -2.34139i q^{9} +(-0.229622 + 3.15393i) q^{10} -2.86823 q^{11} +(1.16515 + 4.47303i) q^{12} +(-1.91593 - 3.05438i) q^{13} +(-3.47755 - 0.944824i) q^{14} +(-5.07231 + 0.989250i) q^{15} +(-1.95146 - 3.49168i) q^{16} +(3.05008 - 3.05008i) q^{17} +(-2.87337 + 1.64560i) q^{18} +5.05926i q^{19} +(4.03190 - 1.93488i) q^{20} -5.88913i q^{21} +(2.01587 + 3.51990i) q^{22} +(-2.42763 + 2.42763i) q^{23} +(4.67042 - 4.57366i) q^{24} +(1.87883 + 4.63357i) q^{25} +(-2.40178 + 4.49794i) q^{26} +(1.07631 + 1.07631i) q^{27} +(1.28463 + 4.93172i) q^{28} -6.79589i q^{29} +(4.77898 + 5.52949i) q^{30} +7.49990 q^{31} +(-2.91346 + 4.84889i) q^{32} +(-4.68733 + 4.68733i) q^{33} +(-5.88676 - 1.59939i) q^{34} +(-5.59245 + 1.09069i) q^{35} +(4.03898 + 2.36964i) q^{36} +(2.43344 + 2.43344i) q^{37} +(6.20875 - 3.55580i) q^{38} +(-8.12261 - 1.86048i) q^{39} +(-5.20823 - 3.58808i) q^{40} -3.73755i q^{41} +(-7.22717 + 4.13905i) q^{42} +(-1.36253 + 1.36253i) q^{43} +(2.90282 - 4.94778i) q^{44} +(-2.92495 + 4.34227i) q^{45} +(4.68541 + 1.27299i) q^{46} +(7.11272 - 7.11272i) q^{47} +(-8.89532 - 2.51706i) q^{48} +0.506970i q^{49} +(4.36585 - 5.56232i) q^{50} -9.96906i q^{51} +(7.20793 - 0.213815i) q^{52} +(-2.33561 - 2.33561i) q^{53} +(0.564390 - 2.07732i) q^{54} +(5.31931 + 3.58309i) q^{55} +(5.14935 - 5.04266i) q^{56} +(8.26798 + 8.26798i) q^{57} +(-8.33995 + 4.77635i) q^{58} +4.71586i q^{59} +(3.42701 - 9.75108i) q^{60} +9.15507 q^{61} +(-5.27115 - 9.20391i) q^{62} +(-4.21875 - 4.21875i) q^{63} +(7.99825 + 0.167463i) q^{64} +(-0.262417 + 8.05799i) q^{65} +(9.04671 + 2.45792i) q^{66} +(-1.42067 + 1.42067i) q^{67} +(2.17461 + 8.34836i) q^{68} +7.93459i q^{69} +(5.26904 + 6.09651i) q^{70} -2.80652 q^{71} +(0.0693174 - 6.62210i) q^{72} +(5.53872 - 5.53872i) q^{73} +(1.27604 - 4.69662i) q^{74} +(10.6427 + 4.50188i) q^{75} +(-8.72738 - 5.12029i) q^{76} +(-5.16800 + 5.16800i) q^{77} +(3.42561 + 11.2757i) q^{78} +16.7129 q^{79} +(-0.742807 + 8.91337i) q^{80} +10.5421 q^{81} +(-4.58674 + 2.62686i) q^{82} +(3.28900 + 3.28900i) q^{83} +(10.1589 + 5.96016i) q^{84} +(-9.46685 + 1.84631i) q^{85} +(2.62974 + 0.714479i) q^{86} +(-11.1060 - 11.1060i) q^{87} +(-8.11213 - 0.0849143i) q^{88} -0.690019 q^{89} +(7.38460 + 0.537637i) q^{90} +(-8.95554 - 2.05127i) q^{91} +(-1.73082 - 6.64464i) q^{92} +(12.2565 - 12.2565i) q^{93} +(-13.7278 - 3.72974i) q^{94} +(6.32020 - 9.38273i) q^{95} +(3.16294 + 12.6854i) q^{96} +(0.611740 + 0.611740i) q^{97} +(0.622156 - 0.356314i) q^{98} +6.71565i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.702829 1.22720i −0.496975 0.867765i
\(3\) 1.63423 1.63423i 0.943521 0.943521i −0.0549669 0.998488i \(-0.517505\pi\)
0.998488 + 0.0549669i \(0.0175053\pi\)
\(4\) −1.01206 + 1.72503i −0.506031 + 0.862515i
\(5\) −1.85457 1.24923i −0.829387 0.558674i
\(6\) −3.15411 0.856948i −1.28766 0.349848i
\(7\) 1.80181 1.80181i 0.681020 0.681020i −0.279210 0.960230i \(-0.590073\pi\)
0.960230 + 0.279210i \(0.0900727\pi\)
\(8\) 2.82827 + 0.0296052i 0.999945 + 0.0104670i
\(9\) 2.34139i 0.780465i
\(10\) −0.229622 + 3.15393i −0.0726130 + 0.997360i
\(11\) −2.86823 −0.864803 −0.432401 0.901681i \(-0.642334\pi\)
−0.432401 + 0.901681i \(0.642334\pi\)
\(12\) 1.16515 + 4.47303i 0.336351 + 1.29125i
\(13\) −1.91593 3.05438i −0.531383 0.847132i
\(14\) −3.47755 0.944824i −0.929415 0.252515i
\(15\) −5.07231 + 0.989250i −1.30967 + 0.255423i
\(16\) −1.95146 3.49168i −0.487865 0.872919i
\(17\) 3.05008 3.05008i 0.739754 0.739754i −0.232776 0.972530i \(-0.574781\pi\)
0.972530 + 0.232776i \(0.0747810\pi\)
\(18\) −2.87337 + 1.64560i −0.677260 + 0.387872i
\(19\) 5.05926i 1.16067i 0.814376 + 0.580337i \(0.197079\pi\)
−0.814376 + 0.580337i \(0.802921\pi\)
\(20\) 4.03190 1.93488i 0.901561 0.432652i
\(21\) 5.88913i 1.28511i
\(22\) 2.01587 + 3.51990i 0.429786 + 0.750445i
\(23\) −2.42763 + 2.42763i −0.506196 + 0.506196i −0.913356 0.407161i \(-0.866519\pi\)
0.407161 + 0.913356i \(0.366519\pi\)
\(24\) 4.67042 4.57366i 0.953345 0.933594i
\(25\) 1.87883 + 4.63357i 0.375766 + 0.926715i
\(26\) −2.40178 + 4.49794i −0.471027 + 0.882119i
\(27\) 1.07631 + 1.07631i 0.207136 + 0.207136i
\(28\) 1.28463 + 4.93172i 0.242773 + 0.932007i
\(29\) 6.79589i 1.26197i −0.775797 0.630983i \(-0.782652\pi\)
0.775797 0.630983i \(-0.217348\pi\)
\(30\) 4.77898 + 5.52949i 0.872519 + 1.00954i
\(31\) 7.49990 1.34702 0.673511 0.739178i \(-0.264786\pi\)
0.673511 + 0.739178i \(0.264786\pi\)
\(32\) −2.91346 + 4.84889i −0.515031 + 0.857171i
\(33\) −4.68733 + 4.68733i −0.815960 + 0.815960i
\(34\) −5.88676 1.59939i −1.00957 0.274293i
\(35\) −5.59245 + 1.09069i −0.945297 + 0.184361i
\(36\) 4.03898 + 2.36964i 0.673163 + 0.394939i
\(37\) 2.43344 + 2.43344i 0.400055 + 0.400055i 0.878253 0.478197i \(-0.158710\pi\)
−0.478197 + 0.878253i \(0.658710\pi\)
\(38\) 6.20875 3.55580i 1.00719 0.576826i
\(39\) −8.12261 1.86048i −1.30066 0.297916i
\(40\) −5.20823 3.58808i −0.823494 0.567325i
\(41\) 3.73755i 0.583708i −0.956463 0.291854i \(-0.905728\pi\)
0.956463 0.291854i \(-0.0942721\pi\)
\(42\) −7.22717 + 4.13905i −1.11518 + 0.638670i
\(43\) −1.36253 + 1.36253i −0.207785 + 0.207785i −0.803325 0.595541i \(-0.796938\pi\)
0.595541 + 0.803325i \(0.296938\pi\)
\(44\) 2.90282 4.94778i 0.437617 0.745906i
\(45\) −2.92495 + 4.34227i −0.436026 + 0.647308i
\(46\) 4.68541 + 1.27299i 0.690825 + 0.187692i
\(47\) 7.11272 7.11272i 1.03750 1.03750i 0.0382282 0.999269i \(-0.487829\pi\)
0.999269 0.0382282i \(-0.0121714\pi\)
\(48\) −8.89532 2.51706i −1.28393 0.363306i
\(49\) 0.506970i 0.0724243i
\(50\) 4.36585 5.56232i 0.617424 0.786631i
\(51\) 9.96906i 1.39595i
\(52\) 7.20793 0.213815i 0.999560 0.0296509i
\(53\) −2.33561 2.33561i −0.320820 0.320820i 0.528262 0.849082i \(-0.322844\pi\)
−0.849082 + 0.528262i \(0.822844\pi\)
\(54\) 0.564390 2.07732i 0.0768038 0.282687i
\(55\) 5.31931 + 3.58309i 0.717256 + 0.483143i
\(56\) 5.14935 5.04266i 0.688111 0.673854i
\(57\) 8.26798 + 8.26798i 1.09512 + 1.09512i
\(58\) −8.33995 + 4.77635i −1.09509 + 0.627166i
\(59\) 4.71586i 0.613953i 0.951717 + 0.306976i \(0.0993172\pi\)
−0.951717 + 0.306976i \(0.900683\pi\)
\(60\) 3.42701 9.75108i 0.442425 1.25886i
\(61\) 9.15507 1.17219 0.586093 0.810244i \(-0.300665\pi\)
0.586093 + 0.810244i \(0.300665\pi\)
\(62\) −5.27115 9.20391i −0.669436 1.16890i
\(63\) −4.21875 4.21875i −0.531512 0.531512i
\(64\) 7.99825 + 0.167463i 0.999781 + 0.0209329i
\(65\) −0.262417 + 8.05799i −0.0325488 + 0.999470i
\(66\) 9.04671 + 2.45792i 1.11357 + 0.302549i
\(67\) −1.42067 + 1.42067i −0.173562 + 0.173562i −0.788542 0.614980i \(-0.789164\pi\)
0.614980 + 0.788542i \(0.289164\pi\)
\(68\) 2.17461 + 8.34836i 0.263711 + 1.01239i
\(69\) 7.93459i 0.955213i
\(70\) 5.26904 + 6.09651i 0.629771 + 0.728673i
\(71\) −2.80652 −0.333073 −0.166536 0.986035i \(-0.553258\pi\)
−0.166536 + 0.986035i \(0.553258\pi\)
\(72\) 0.0693174 6.62210i 0.00816913 0.780422i
\(73\) 5.53872 5.53872i 0.648258 0.648258i −0.304314 0.952572i \(-0.598427\pi\)
0.952572 + 0.304314i \(0.0984272\pi\)
\(74\) 1.27604 4.69662i 0.148336 0.545972i
\(75\) 10.6427 + 4.50188i 1.22892 + 0.519832i
\(76\) −8.72738 5.12029i −1.00110 0.587337i
\(77\) −5.16800 + 5.16800i −0.588948 + 0.588948i
\(78\) 3.42561 + 11.2757i 0.387874 + 1.27672i
\(79\) 16.7129 1.88034 0.940172 0.340700i \(-0.110664\pi\)
0.940172 + 0.340700i \(0.110664\pi\)
\(80\) −0.742807 + 8.91337i −0.0830484 + 0.996546i
\(81\) 10.5421 1.17134
\(82\) −4.58674 + 2.62686i −0.506521 + 0.290088i
\(83\) 3.28900 + 3.28900i 0.361014 + 0.361014i 0.864186 0.503172i \(-0.167834\pi\)
−0.503172 + 0.864186i \(0.667834\pi\)
\(84\) 10.1589 + 5.96016i 1.10843 + 0.650307i
\(85\) −9.46685 + 1.84631i −1.02682 + 0.200261i
\(86\) 2.62974 + 0.714479i 0.283572 + 0.0770443i
\(87\) −11.1060 11.1060i −1.19069 1.19069i
\(88\) −8.11213 0.0849143i −0.864755 0.00905189i
\(89\) −0.690019 −0.0731419 −0.0365709 0.999331i \(-0.511643\pi\)
−0.0365709 + 0.999331i \(0.511643\pi\)
\(90\) 7.38460 + 0.537637i 0.778405 + 0.0566719i
\(91\) −8.95554 2.05127i −0.938796 0.215031i
\(92\) −1.73082 6.64464i −0.180451 0.692752i
\(93\) 12.2565 12.2565i 1.27094 1.27094i
\(94\) −13.7278 3.72974i −1.41591 0.384693i
\(95\) 6.32020 9.38273i 0.648439 0.962648i
\(96\) 3.16294 + 12.6854i 0.322817 + 1.29470i
\(97\) 0.611740 + 0.611740i 0.0621128 + 0.0621128i 0.737481 0.675368i \(-0.236015\pi\)
−0.675368 + 0.737481i \(0.736015\pi\)
\(98\) 0.622156 0.356314i 0.0628473 0.0359931i
\(99\) 6.71565i 0.674948i
\(100\) −9.89455 1.44843i −0.989455 0.144843i
\(101\) −19.5821 −1.94849 −0.974247 0.225482i \(-0.927604\pi\)
−0.974247 + 0.225482i \(0.927604\pi\)
\(102\) −12.2341 + 7.00654i −1.21135 + 0.693751i
\(103\) −7.42027 + 7.42027i −0.731141 + 0.731141i −0.970846 0.239705i \(-0.922949\pi\)
0.239705 + 0.970846i \(0.422949\pi\)
\(104\) −5.32834 8.69533i −0.522487 0.852647i
\(105\) −7.35690 + 10.9218i −0.717960 + 1.06586i
\(106\) −1.22473 + 4.50780i −0.118957 + 0.437836i
\(107\) 11.7984 + 11.7984i 1.14060 + 1.14060i 0.988341 + 0.152258i \(0.0486545\pi\)
0.152258 + 0.988341i \(0.451346\pi\)
\(108\) −2.94596 + 0.767375i −0.283475 + 0.0738407i
\(109\) −17.0037 −1.62866 −0.814329 0.580403i \(-0.802895\pi\)
−0.814329 + 0.580403i \(0.802895\pi\)
\(110\) 0.658609 9.04619i 0.0627959 0.862520i
\(111\) 7.95359 0.754922
\(112\) −9.80749 2.77517i −0.926721 0.262229i
\(113\) −4.57244 4.57244i −0.430139 0.430139i 0.458537 0.888675i \(-0.348374\pi\)
−0.888675 + 0.458537i \(0.848374\pi\)
\(114\) 4.33552 15.9575i 0.406059 1.49456i
\(115\) 7.53487 1.46952i 0.702631 0.137034i
\(116\) 11.7231 + 6.87786i 1.08846 + 0.638593i
\(117\) −7.15150 + 4.48594i −0.661157 + 0.414726i
\(118\) 5.78732 3.31444i 0.532766 0.305119i
\(119\) 10.9913i 1.00757i
\(120\) −14.3752 + 2.64770i −1.31227 + 0.241701i
\(121\) −2.77328 −0.252116
\(122\) −6.43445 11.2351i −0.582548 1.01718i
\(123\) −6.10801 6.10801i −0.550741 0.550741i
\(124\) −7.59036 + 12.9376i −0.681634 + 1.16183i
\(125\) 2.30400 10.9404i 0.206076 0.978536i
\(126\) −2.21221 + 8.14232i −0.197079 + 0.725376i
\(127\) −2.16928 2.16928i −0.192492 0.192492i 0.604280 0.796772i \(-0.293461\pi\)
−0.796772 + 0.604280i \(0.793461\pi\)
\(128\) −5.41589 9.93318i −0.478702 0.877978i
\(129\) 4.45338i 0.392098i
\(130\) 10.0732 5.34135i 0.883481 0.468467i
\(131\) 20.1665i 1.76196i 0.473156 + 0.880979i \(0.343115\pi\)
−0.473156 + 0.880979i \(0.656885\pi\)
\(132\) −3.34192 12.8297i −0.290877 1.11668i
\(133\) 9.11582 + 9.11582i 0.790442 + 0.790442i
\(134\) 2.74193 + 0.744962i 0.236867 + 0.0643550i
\(135\) −0.651525 3.34065i −0.0560743 0.287517i
\(136\) 8.71676 8.53617i 0.747456 0.731970i
\(137\) 10.1264 + 10.1264i 0.865160 + 0.865160i 0.991932 0.126771i \(-0.0404615\pi\)
−0.126771 + 0.991932i \(0.540461\pi\)
\(138\) 9.73737 5.57666i 0.828900 0.474717i
\(139\) −6.95427 −0.589854 −0.294927 0.955520i \(-0.595295\pi\)
−0.294927 + 0.955520i \(0.595295\pi\)
\(140\) 3.77843 10.7510i 0.319336 0.908626i
\(141\) 23.2476i 1.95780i
\(142\) 1.97250 + 3.44417i 0.165529 + 0.289029i
\(143\) 5.49532 + 8.76065i 0.459541 + 0.732602i
\(144\) −8.17539 + 4.56914i −0.681283 + 0.380762i
\(145\) −8.48966 + 12.6034i −0.705028 + 1.04666i
\(146\) −10.6899 2.90437i −0.884703 0.240367i
\(147\) 0.828504 + 0.828504i 0.0683339 + 0.0683339i
\(148\) −6.66056 + 1.73497i −0.547494 + 0.142613i
\(149\) 4.62642 0.379011 0.189506 0.981880i \(-0.439311\pi\)
0.189506 + 0.981880i \(0.439311\pi\)
\(150\) −1.95531 16.2249i −0.159650 1.32476i
\(151\) −21.8510 −1.77821 −0.889106 0.457701i \(-0.848673\pi\)
−0.889106 + 0.457701i \(0.848673\pi\)
\(152\) −0.149780 + 14.3090i −0.0121488 + 1.16061i
\(153\) −7.14145 7.14145i −0.577352 0.577352i
\(154\) 9.97441 + 2.70997i 0.803761 + 0.218376i
\(155\) −13.9091 9.36913i −1.11720 0.752546i
\(156\) 11.4300 12.1288i 0.915130 0.971083i
\(157\) −3.55608 + 3.55608i −0.283806 + 0.283806i −0.834625 0.550819i \(-0.814315\pi\)
0.550819 + 0.834625i \(0.314315\pi\)
\(158\) −11.7463 20.5101i −0.934485 1.63170i
\(159\) −7.63382 −0.605401
\(160\) 11.4606 5.35300i 0.906040 0.423192i
\(161\) 8.74824i 0.689458i
\(162\) −7.40926 12.9373i −0.582127 1.01645i
\(163\) −2.47561 2.47561i −0.193905 0.193905i 0.603476 0.797381i \(-0.293782\pi\)
−0.797381 + 0.603476i \(0.793782\pi\)
\(164\) 6.44740 + 3.78264i 0.503457 + 0.295374i
\(165\) 14.5485 2.83739i 1.13260 0.220891i
\(166\) 1.72467 6.34788i 0.133860 0.492691i
\(167\) −15.2453 + 15.2453i −1.17971 + 1.17971i −0.199896 + 0.979817i \(0.564060\pi\)
−0.979817 + 0.199896i \(0.935940\pi\)
\(168\) 0.174349 16.6561i 0.0134513 1.28504i
\(169\) −5.65844 + 11.7039i −0.435265 + 0.900303i
\(170\) 8.91938 + 10.3201i 0.684085 + 0.791517i
\(171\) 11.8457 0.905865
\(172\) −0.971444 3.72938i −0.0740719 0.284363i
\(173\) 7.94933 + 7.94933i 0.604376 + 0.604376i 0.941471 0.337095i \(-0.109444\pi\)
−0.337095 + 0.941471i \(0.609444\pi\)
\(174\) −5.82373 + 21.4350i −0.441495 + 1.62498i
\(175\) 11.7341 + 4.96352i 0.887015 + 0.375207i
\(176\) 5.59723 + 10.0149i 0.421907 + 0.754903i
\(177\) 7.70678 + 7.70678i 0.579277 + 0.579277i
\(178\) 0.484966 + 0.846795i 0.0363497 + 0.0634699i
\(179\) −4.23086 −0.316230 −0.158115 0.987421i \(-0.550542\pi\)
−0.158115 + 0.987421i \(0.550542\pi\)
\(180\) −4.53032 9.44028i −0.337670 0.703637i
\(181\) 4.89410 0.363776 0.181888 0.983319i \(-0.441779\pi\)
0.181888 + 0.983319i \(0.441779\pi\)
\(182\) 3.77689 + 12.4320i 0.279962 + 0.921519i
\(183\) 14.9615 14.9615i 1.10598 1.10598i
\(184\) −6.93786 + 6.79412i −0.511466 + 0.500869i
\(185\) −1.47304 7.55292i −0.108300 0.555301i
\(186\) −23.6555 6.42702i −1.73451 0.471252i
\(187\) −8.74833 + 8.74833i −0.639741 + 0.639741i
\(188\) 5.07115 + 19.4682i 0.369851 + 1.41986i
\(189\) 3.87861 0.282127
\(190\) −15.9566 1.16172i −1.15761 0.0842800i
\(191\) 9.65925i 0.698919i 0.936951 + 0.349460i \(0.113635\pi\)
−0.936951 + 0.349460i \(0.886365\pi\)
\(192\) 13.3446 12.7973i 0.963065 0.923564i
\(193\) 8.33730 8.33730i 0.600132 0.600132i −0.340216 0.940347i \(-0.610500\pi\)
0.940347 + 0.340216i \(0.110500\pi\)
\(194\) 0.320781 1.18068i 0.0230308 0.0847678i
\(195\) 12.7397 + 13.5974i 0.912311 + 0.973732i
\(196\) −0.874539 0.513085i −0.0624671 0.0366490i
\(197\) −5.18463 5.18463i −0.369390 0.369390i 0.497865 0.867255i \(-0.334118\pi\)
−0.867255 + 0.497865i \(0.834118\pi\)
\(198\) 8.24148 4.71996i 0.585696 0.335433i
\(199\) 2.05260 0.145505 0.0727526 0.997350i \(-0.476822\pi\)
0.0727526 + 0.997350i \(0.476822\pi\)
\(200\) 5.17666 + 13.1606i 0.366045 + 0.930597i
\(201\) 4.64338i 0.327519i
\(202\) 13.7629 + 24.0313i 0.968354 + 1.69083i
\(203\) −12.2449 12.2449i −0.859423 0.859423i
\(204\) 17.1969 + 10.0893i 1.20403 + 0.706393i
\(205\) −4.66908 + 6.93154i −0.326103 + 0.484120i
\(206\) 14.3214 + 3.89100i 0.997817 + 0.271099i
\(207\) 5.68404 + 5.68404i 0.395068 + 0.395068i
\(208\) −6.92604 + 12.6503i −0.480234 + 0.877140i
\(209\) 14.5111i 1.00375i
\(210\) 18.5739 + 1.35228i 1.28172 + 0.0933159i
\(211\) 21.8754i 1.50596i −0.658041 0.752982i \(-0.728615\pi\)
0.658041 0.752982i \(-0.271385\pi\)
\(212\) 6.39277 1.66521i 0.439057 0.114367i
\(213\) −4.58649 + 4.58649i −0.314261 + 0.314261i
\(214\) 6.18681 22.7714i 0.422922 1.55662i
\(215\) 4.22903 0.824786i 0.288418 0.0562499i
\(216\) 3.01223 + 3.07596i 0.204957 + 0.209293i
\(217\) 13.5134 13.5134i 0.917348 0.917348i
\(218\) 11.9507 + 20.8670i 0.809403 + 1.41329i
\(219\) 18.1030i 1.22329i
\(220\) −11.5644 + 5.54968i −0.779672 + 0.374159i
\(221\) −15.1598 3.47236i −1.01976 0.233577i
\(222\) −5.59002 9.76068i −0.375177 0.655094i
\(223\) 8.75815 + 8.75815i 0.586489 + 0.586489i 0.936679 0.350190i \(-0.113883\pi\)
−0.350190 + 0.936679i \(0.613883\pi\)
\(224\) 3.48729 + 13.9863i 0.233004 + 0.934497i
\(225\) 10.8490 4.39908i 0.723268 0.293272i
\(226\) −2.39767 + 8.82496i −0.159491 + 0.587028i
\(227\) 10.4904 10.4904i 0.696275 0.696275i −0.267330 0.963605i \(-0.586141\pi\)
0.963605 + 0.267330i \(0.0861414\pi\)
\(228\) −22.6302 + 5.89481i −1.49872 + 0.390393i
\(229\) −16.8561 −1.11389 −0.556943 0.830551i \(-0.688026\pi\)
−0.556943 + 0.830551i \(0.688026\pi\)
\(230\) −7.09913 8.21401i −0.468103 0.541616i
\(231\) 16.8914i 1.11137i
\(232\) 0.201193 19.2206i 0.0132090 1.26190i
\(233\) −5.97980 5.97980i −0.391750 0.391750i 0.483561 0.875311i \(-0.339343\pi\)
−0.875311 + 0.483561i \(0.839343\pi\)
\(234\) 10.5315 + 5.62350i 0.688463 + 0.367620i
\(235\) −22.0765 + 4.30556i −1.44011 + 0.280864i
\(236\) −8.13500 4.77274i −0.529543 0.310679i
\(237\) 27.3126 27.3126i 1.77414 1.77414i
\(238\) −13.4886 + 7.72503i −0.874337 + 0.500739i
\(239\) 2.54185i 0.164419i −0.996615 0.0822094i \(-0.973802\pi\)
0.996615 0.0822094i \(-0.0261976\pi\)
\(240\) 13.3526 + 15.7804i 0.861904 + 1.01862i
\(241\) 0.873299i 0.0562542i 0.999604 + 0.0281271i \(0.00895431\pi\)
−0.999604 + 0.0281271i \(0.991046\pi\)
\(242\) 1.94914 + 3.40338i 0.125295 + 0.218777i
\(243\) 13.9992 13.9992i 0.898048 0.898048i
\(244\) −9.26550 + 15.7928i −0.593163 + 1.01103i
\(245\) 0.633324 0.940210i 0.0404616 0.0600678i
\(246\) −3.20289 + 11.7887i −0.204209 + 0.751618i
\(247\) 15.4529 9.69318i 0.983244 0.616762i
\(248\) 21.2117 + 0.222036i 1.34695 + 0.0140993i
\(249\) 10.7499 0.681249
\(250\) −15.0454 + 4.86172i −0.951554 + 0.307482i
\(251\) 14.0071i 0.884120i −0.896985 0.442060i \(-0.854248\pi\)
0.896985 0.442060i \(-0.145752\pi\)
\(252\) 11.5471 3.00783i 0.727399 0.189476i
\(253\) 6.96299 6.96299i 0.437759 0.437759i
\(254\) −1.13752 + 4.18678i −0.0713741 + 0.262702i
\(255\) −12.4537 + 18.4883i −0.779880 + 1.15778i
\(256\) −8.38360 + 13.6277i −0.523975 + 0.851734i
\(257\) −8.14242 + 8.14242i −0.507910 + 0.507910i −0.913885 0.405974i \(-0.866932\pi\)
0.405974 + 0.913885i \(0.366932\pi\)
\(258\) 5.46521 3.12997i 0.340249 0.194863i
\(259\) 8.76919 0.544891
\(260\) −13.6347 8.60786i −0.845588 0.533837i
\(261\) −15.9119 −0.984920
\(262\) 24.7485 14.1736i 1.52896 0.875650i
\(263\) 7.73352 7.73352i 0.476869 0.476869i −0.427260 0.904129i \(-0.640521\pi\)
0.904129 + 0.427260i \(0.140521\pi\)
\(264\) −13.3958 + 13.1183i −0.824456 + 0.807375i
\(265\) 1.41382 + 7.24925i 0.0868501 + 0.445318i
\(266\) 4.78011 17.5938i 0.293087 1.07875i
\(267\) −1.12765 + 1.12765i −0.0690109 + 0.0690109i
\(268\) −1.01289 3.88850i −0.0618721 0.237528i
\(269\) 0.0681509i 0.00415523i −0.999998 0.00207762i \(-0.999339\pi\)
0.999998 0.00207762i \(-0.000661326\pi\)
\(270\) −3.64175 + 3.14746i −0.221630 + 0.191548i
\(271\) −4.89920 −0.297605 −0.148803 0.988867i \(-0.547542\pi\)
−0.148803 + 0.988867i \(0.547542\pi\)
\(272\) −16.6020 4.69778i −1.00665 0.284845i
\(273\) −17.9876 + 11.2831i −1.08866 + 0.682887i
\(274\) 5.31006 19.5444i 0.320792 1.18072i
\(275\) −5.38891 13.2901i −0.324963 0.801425i
\(276\) −13.6874 8.03030i −0.823885 0.483367i
\(277\) 12.5034 12.5034i 0.751255 0.751255i −0.223459 0.974713i \(-0.571735\pi\)
0.974713 + 0.223459i \(0.0717348\pi\)
\(278\) 4.88767 + 8.53432i 0.293143 + 0.511854i
\(279\) 17.5602i 1.05130i
\(280\) −15.8493 + 2.91921i −0.947175 + 0.174456i
\(281\) 22.0270i 1.31402i 0.753881 + 0.657012i \(0.228180\pi\)
−0.753881 + 0.657012i \(0.771820\pi\)
\(282\) −28.5296 + 16.3391i −1.69891 + 0.972979i
\(283\) 5.03687 5.03687i 0.299411 0.299411i −0.541372 0.840783i \(-0.682095\pi\)
0.840783 + 0.541372i \(0.182095\pi\)
\(284\) 2.84037 4.84133i 0.168545 0.287280i
\(285\) −5.00487 25.6622i −0.296463 1.52009i
\(286\) 6.88884 12.9011i 0.407345 0.762859i
\(287\) −6.73436 6.73436i −0.397517 0.397517i
\(288\) 11.3532 + 6.82155i 0.668992 + 0.401964i
\(289\) 1.60602i 0.0944717i
\(290\) 21.4338 + 1.56049i 1.25863 + 0.0916350i
\(291\) 1.99944 0.117209
\(292\) 3.94893 + 15.1600i 0.231094 + 0.887171i
\(293\) 4.29024 4.29024i 0.250638 0.250638i −0.570594 0.821232i \(-0.693287\pi\)
0.821232 + 0.570594i \(0.193287\pi\)
\(294\) 0.434447 1.59904i 0.0253375 0.0932580i
\(295\) 5.89121 8.74587i 0.343000 0.509204i
\(296\) 6.81039 + 6.95448i 0.395846 + 0.404221i
\(297\) −3.08710 3.08710i −0.179132 0.179132i
\(298\) −3.25158 5.67756i −0.188359 0.328892i
\(299\) 12.0661 + 2.76373i 0.697798 + 0.159831i
\(300\) −18.5370 + 13.8029i −1.07023 + 0.796910i
\(301\) 4.91005i 0.283011i
\(302\) 15.3576 + 26.8157i 0.883728 + 1.54307i
\(303\) −32.0016 + 32.0016i −1.83845 + 1.83845i
\(304\) 17.6653 9.87295i 1.01317 0.566252i
\(305\) −16.9787 11.4368i −0.972197 0.654871i
\(306\) −3.74480 + 13.7832i −0.214076 + 0.787935i
\(307\) 16.3306 16.3306i 0.932037 0.932037i −0.0657965 0.997833i \(-0.520959\pi\)
0.997833 + 0.0657965i \(0.0209588\pi\)
\(308\) −3.68462 14.1453i −0.209951 0.806002i
\(309\) 24.2528i 1.37969i
\(310\) −1.72214 + 23.6541i −0.0978112 + 1.34347i
\(311\) 8.57004i 0.485962i 0.970031 + 0.242981i \(0.0781253\pi\)
−0.970031 + 0.242981i \(0.921875\pi\)
\(312\) −22.9179 5.50243i −1.29747 0.311514i
\(313\) 3.62652 + 3.62652i 0.204983 + 0.204983i 0.802131 0.597148i \(-0.203700\pi\)
−0.597148 + 0.802131i \(0.703700\pi\)
\(314\) 6.86335 + 1.86472i 0.387321 + 0.105232i
\(315\) 2.55374 + 13.0941i 0.143887 + 0.737771i
\(316\) −16.9145 + 28.8302i −0.951512 + 1.62183i
\(317\) 10.8367 + 10.8367i 0.608652 + 0.608652i 0.942594 0.333942i \(-0.108379\pi\)
−0.333942 + 0.942594i \(0.608379\pi\)
\(318\) 5.36527 + 9.36826i 0.300870 + 0.525346i
\(319\) 19.4922i 1.09135i
\(320\) −14.6241 10.3023i −0.817511 0.575913i
\(321\) 38.5627 2.15236
\(322\) 10.7359 6.14852i 0.598288 0.342644i
\(323\) 15.4312 + 15.4312i 0.858613 + 0.858613i
\(324\) −10.6692 + 18.1854i −0.592734 + 1.01030i
\(325\) 10.5530 14.6162i 0.585374 0.810763i
\(326\) −1.29815 + 4.77802i −0.0718979 + 0.264630i
\(327\) −27.7879 + 27.7879i −1.53667 + 1.53667i
\(328\) 0.110651 10.5708i 0.00610967 0.583676i
\(329\) 25.6315i 1.41311i
\(330\) −13.7072 15.8598i −0.754557 0.873055i
\(331\) −9.27419 −0.509756 −0.254878 0.966973i \(-0.582035\pi\)
−0.254878 + 0.966973i \(0.582035\pi\)
\(332\) −9.00229 + 2.34495i −0.494065 + 0.128696i
\(333\) 5.69765 5.69765i 0.312229 0.312229i
\(334\) 29.4239 + 7.99423i 1.61000 + 0.437425i
\(335\) 4.40946 0.859975i 0.240915 0.0469854i
\(336\) −20.5629 + 11.4924i −1.12180 + 0.626962i
\(337\) −5.07755 + 5.07755i −0.276592 + 0.276592i −0.831747 0.555155i \(-0.812659\pi\)
0.555155 + 0.831747i \(0.312659\pi\)
\(338\) 18.3400 1.28180i 0.997567 0.0697210i
\(339\) −14.9448 −0.811690
\(340\) 6.39609 18.1992i 0.346877 0.986989i
\(341\) −21.5114 −1.16491
\(342\) −8.32552 14.5371i −0.450193 0.786078i
\(343\) 13.5261 + 13.5261i 0.730342 + 0.730342i
\(344\) −3.89396 + 3.81328i −0.209948 + 0.205598i
\(345\) 9.91216 14.7152i 0.533653 0.792241i
\(346\) 4.16843 15.3425i 0.224096 0.824816i
\(347\) −3.16853 3.16853i −0.170096 0.170096i 0.616926 0.787021i \(-0.288378\pi\)
−0.787021 + 0.616926i \(0.788378\pi\)
\(348\) 30.3982 7.91825i 1.62952 0.424463i
\(349\) 16.3474 0.875059 0.437529 0.899204i \(-0.355854\pi\)
0.437529 + 0.899204i \(0.355854\pi\)
\(350\) −2.15581 17.8887i −0.115233 0.956189i
\(351\) 1.22532 5.34959i 0.0654030 0.285540i
\(352\) 8.35645 13.9077i 0.445400 0.741284i
\(353\) −14.3438 + 14.3438i −0.763442 + 0.763442i −0.976943 0.213501i \(-0.931513\pi\)
0.213501 + 0.976943i \(0.431513\pi\)
\(354\) 4.04125 14.8744i 0.214790 0.790563i
\(355\) 5.20488 + 3.50600i 0.276246 + 0.186079i
\(356\) 0.698342 1.19030i 0.0370121 0.0630860i
\(357\) −17.9623 17.9623i −0.950668 0.950668i
\(358\) 2.97357 + 5.19214i 0.157158 + 0.274413i
\(359\) 23.3016i 1.22981i 0.788600 + 0.614906i \(0.210806\pi\)
−0.788600 + 0.614906i \(0.789194\pi\)
\(360\) −8.40111 + 12.1945i −0.442777 + 0.642708i
\(361\) −6.59612 −0.347164
\(362\) −3.43972 6.00607i −0.180788 0.315672i
\(363\) −4.53216 + 4.53216i −0.237877 + 0.237877i
\(364\) 12.6021 13.3726i 0.660527 0.700913i
\(365\) −17.1911 + 3.35276i −0.899821 + 0.175492i
\(366\) −28.8761 7.84542i −1.50938 0.410087i
\(367\) −25.8727 25.8727i −1.35054 1.35054i −0.885052 0.465491i \(-0.845878\pi\)
−0.465491 0.885052i \(-0.654122\pi\)
\(368\) 13.2139 + 3.73907i 0.688823 + 0.194912i
\(369\) −8.75109 −0.455564
\(370\) −8.23368 + 7.11613i −0.428048 + 0.369950i
\(371\) −8.41663 −0.436970
\(372\) 8.73852 + 33.5473i 0.453071 + 1.73934i
\(373\) 7.06704 + 7.06704i 0.365917 + 0.365917i 0.865986 0.500069i \(-0.166692\pi\)
−0.500069 + 0.865986i \(0.666692\pi\)
\(374\) 16.8846 + 4.58741i 0.873080 + 0.237209i
\(375\) −14.1138 21.6443i −0.728832 1.11771i
\(376\) 20.3273 19.9061i 1.04830 1.02658i
\(377\) −20.7572 + 13.0204i −1.06905 + 0.670587i
\(378\) −2.72600 4.75985i −0.140210 0.244820i
\(379\) 10.3135i 0.529767i −0.964280 0.264884i \(-0.914666\pi\)
0.964280 0.264884i \(-0.0853335\pi\)
\(380\) 9.78907 + 20.3984i 0.502168 + 1.04642i
\(381\) −7.09019 −0.363241
\(382\) 11.8539 6.78881i 0.606497 0.347346i
\(383\) 5.79036 + 5.79036i 0.295873 + 0.295873i 0.839395 0.543522i \(-0.182909\pi\)
−0.543522 + 0.839395i \(0.682909\pi\)
\(384\) −25.0839 7.38228i −1.28006 0.376725i
\(385\) 16.0404 3.12835i 0.817496 0.159436i
\(386\) −16.0913 4.37187i −0.819024 0.222522i
\(387\) 3.19023 + 3.19023i 0.162169 + 0.162169i
\(388\) −1.67439 + 0.436151i −0.0850042 + 0.0221422i
\(389\) 10.5068i 0.532715i 0.963874 + 0.266357i \(0.0858201\pi\)
−0.963874 + 0.266357i \(0.914180\pi\)
\(390\) 7.73297 25.1909i 0.391574 1.27559i
\(391\) 14.8089i 0.748920i
\(392\) −0.0150089 + 1.43385i −0.000758066 + 0.0724204i
\(393\) 32.9567 + 32.9567i 1.66244 + 1.66244i
\(394\) −2.71869 + 10.0065i −0.136966 + 0.504121i
\(395\) −30.9951 20.8783i −1.55953 1.05050i
\(396\) −11.5847 6.79666i −0.582153 0.341545i
\(397\) −18.0247 18.0247i −0.904635 0.904635i 0.0911976 0.995833i \(-0.470930\pi\)
−0.995833 + 0.0911976i \(0.970930\pi\)
\(398\) −1.44263 2.51896i −0.0723125 0.126264i
\(399\) 29.7946 1.49160
\(400\) 12.5125 15.6025i 0.625624 0.780125i
\(401\) 28.9089i 1.44364i −0.692080 0.721820i \(-0.743306\pi\)
0.692080 0.721820i \(-0.256694\pi\)
\(402\) 5.69838 3.26351i 0.284209 0.162769i
\(403\) −14.3693 22.9075i −0.715784 1.14110i
\(404\) 19.8183 33.7798i 0.985999 1.68061i
\(405\) −19.5509 13.1695i −0.971494 0.654397i
\(406\) −6.42092 + 23.6331i −0.318665 + 1.17289i
\(407\) −6.97966 6.97966i −0.345969 0.345969i
\(408\) 0.295135 28.1952i 0.0146114 1.39587i
\(409\) 33.8248 1.67253 0.836266 0.548325i \(-0.184734\pi\)
0.836266 + 0.548325i \(0.184734\pi\)
\(410\) 11.7880 + 0.858226i 0.582167 + 0.0423848i
\(411\) 33.0978 1.63259
\(412\) −5.29042 20.3100i −0.260640 1.00060i
\(413\) 8.49708 + 8.49708i 0.418114 + 0.418114i
\(414\) 2.98057 10.9704i 0.146487 0.539165i
\(415\) −1.99093 10.2084i −0.0977312 0.501110i
\(416\) 20.3923 0.391336i 0.999816 0.0191868i
\(417\) −11.3649 + 11.3649i −0.556540 + 0.556540i
\(418\) −17.8081 + 10.1988i −0.871022 + 0.498841i
\(419\) −29.8088 −1.45626 −0.728128 0.685441i \(-0.759609\pi\)
−0.728128 + 0.685441i \(0.759609\pi\)
\(420\) −11.3948 23.7444i −0.556007 1.15861i
\(421\) 22.2675i 1.08525i −0.839974 0.542626i \(-0.817430\pi\)
0.839974 0.542626i \(-0.182570\pi\)
\(422\) −26.8456 + 15.3747i −1.30682 + 0.748427i
\(423\) −16.6537 16.6537i −0.809730 0.809730i
\(424\) −6.53658 6.67488i −0.317445 0.324161i
\(425\) 19.8634 + 8.40220i 0.963515 + 0.407567i
\(426\) 8.85208 + 2.40504i 0.428885 + 0.116525i
\(427\) 16.4957 16.4957i 0.798282 0.798282i
\(428\) −32.2934 + 8.41192i −1.56096 + 0.406606i
\(429\) 23.2975 + 5.33629i 1.12481 + 0.257638i
\(430\) −3.98447 4.61021i −0.192148 0.222324i
\(431\) 16.6731 0.803116 0.401558 0.915834i \(-0.368469\pi\)
0.401558 + 0.915834i \(0.368469\pi\)
\(432\) 1.65775 5.85850i 0.0797585 0.281867i
\(433\) −14.3063 14.3063i −0.687515 0.687515i 0.274167 0.961682i \(-0.411598\pi\)
−0.961682 + 0.274167i \(0.911598\pi\)
\(434\) −26.0813 7.08608i −1.25194 0.340143i
\(435\) 6.72283 + 34.4709i 0.322335 + 1.65275i
\(436\) 17.2088 29.3319i 0.824152 1.40474i
\(437\) −12.2820 12.2820i −0.587528 0.587528i
\(438\) −22.2161 + 12.7233i −1.06153 + 0.607945i
\(439\) 1.27466 0.0608361 0.0304181 0.999537i \(-0.490316\pi\)
0.0304181 + 0.999537i \(0.490316\pi\)
\(440\) 14.9384 + 10.2914i 0.712160 + 0.490624i
\(441\) 1.18702 0.0565246
\(442\) 6.39348 + 21.0447i 0.304107 + 1.00099i
\(443\) −4.65182 + 4.65182i −0.221015 + 0.221015i −0.808926 0.587911i \(-0.799951\pi\)
0.587911 + 0.808926i \(0.299951\pi\)
\(444\) −8.04953 + 13.7202i −0.382014 + 0.651131i
\(445\) 1.27969 + 0.861995i 0.0606629 + 0.0408625i
\(446\) 4.59256 16.9035i 0.217464 0.800405i
\(447\) 7.56062 7.56062i 0.357605 0.357605i
\(448\) 14.7130 14.1096i 0.695126 0.666615i
\(449\) −4.97674 −0.234867 −0.117434 0.993081i \(-0.537467\pi\)
−0.117434 + 0.993081i \(0.537467\pi\)
\(450\) −13.0236 10.2222i −0.613938 0.481878i
\(451\) 10.7202i 0.504792i
\(452\) 12.5152 3.26000i 0.588665 0.153338i
\(453\) −35.7096 + 35.7096i −1.67778 + 1.67778i
\(454\) −20.2469 5.50093i −0.950234 0.258171i
\(455\) 14.0461 + 14.9918i 0.658493 + 0.702825i
\(456\) 23.1393 + 23.6289i 1.08360 + 1.10652i
\(457\) 9.07097 + 9.07097i 0.424322 + 0.424322i 0.886689 0.462367i \(-0.153000\pi\)
−0.462367 + 0.886689i \(0.653000\pi\)
\(458\) 11.8470 + 20.6859i 0.553574 + 0.966591i
\(459\) 6.56567 0.306459
\(460\) −5.09079 + 14.4851i −0.237359 + 0.675373i
\(461\) 29.0770i 1.35425i 0.735867 + 0.677126i \(0.236775\pi\)
−0.735867 + 0.677126i \(0.763225\pi\)
\(462\) 20.7291 11.8717i 0.964407 0.552323i
\(463\) −16.7239 16.7239i −0.777227 0.777227i 0.202132 0.979358i \(-0.435213\pi\)
−0.979358 + 0.202132i \(0.935213\pi\)
\(464\) −23.7290 + 13.2619i −1.10159 + 0.615669i
\(465\) −38.0418 + 7.41927i −1.76415 + 0.344060i
\(466\) −3.13566 + 11.5412i −0.145257 + 0.534637i
\(467\) 23.0476 + 23.0476i 1.06652 + 1.06652i 0.997624 + 0.0688934i \(0.0219468\pi\)
0.0688934 + 0.997624i \(0.478053\pi\)
\(468\) −0.500626 16.8766i −0.0231415 0.780122i
\(469\) 5.11954i 0.236398i
\(470\) 20.7998 + 24.0663i 0.959423 + 1.11009i
\(471\) 11.6229i 0.535554i
\(472\) −0.139614 + 13.3377i −0.00642624 + 0.613919i
\(473\) 3.90806 3.90806i 0.179693 0.179693i
\(474\) −52.7143 14.3221i −2.42125 0.657834i
\(475\) −23.4425 + 9.50549i −1.07561 + 0.436142i
\(476\) 18.9604 + 11.1239i 0.869048 + 0.509864i
\(477\) −5.46858 + 5.46858i −0.250389 + 0.250389i
\(478\) −3.11937 + 1.78649i −0.142677 + 0.0817121i
\(479\) 17.6387i 0.805934i 0.915215 + 0.402967i \(0.132021\pi\)
−0.915215 + 0.402967i \(0.867979\pi\)
\(480\) 9.98120 27.4772i 0.455577 1.25416i
\(481\) 2.77035 12.0949i 0.126317 0.551482i
\(482\) 1.07172 0.613780i 0.0488154 0.0279569i
\(483\) 14.2966 + 14.2966i 0.650519 + 0.650519i
\(484\) 2.80673 4.78399i 0.127579 0.217454i
\(485\) −0.370306 1.89872i −0.0168147 0.0862163i
\(486\) −27.0189 7.34082i −1.22560 0.332986i
\(487\) −16.4050 + 16.4050i −0.743380 + 0.743380i −0.973227 0.229847i \(-0.926177\pi\)
0.229847 + 0.973227i \(0.426177\pi\)
\(488\) 25.8930 + 0.271037i 1.17212 + 0.0122693i
\(489\) −8.09142 −0.365907
\(490\) −1.59895 0.116412i −0.0722331 0.00525895i
\(491\) 18.4831i 0.834130i −0.908877 0.417065i \(-0.863059\pi\)
0.908877 0.417065i \(-0.136941\pi\)
\(492\) 16.7182 4.35482i 0.753714 0.196330i
\(493\) −20.7280 20.7280i −0.933544 0.933544i
\(494\) −22.7563 12.1512i −1.02385 0.546709i
\(495\) 8.38942 12.4546i 0.377076 0.559793i
\(496\) −14.6358 26.1872i −0.657165 1.17584i
\(497\) −5.05681 + 5.05681i −0.226829 + 0.226829i
\(498\) −7.55537 13.1924i −0.338564 0.591164i
\(499\) 13.1530i 0.588810i 0.955681 + 0.294405i \(0.0951215\pi\)
−0.955681 + 0.294405i \(0.904878\pi\)
\(500\) 16.5407 + 15.0468i 0.739721 + 0.672914i
\(501\) 49.8284i 2.22617i
\(502\) −17.1896 + 9.84460i −0.767208 + 0.439386i
\(503\) 2.48957 2.48957i 0.111005 0.111005i −0.649423 0.760427i \(-0.724989\pi\)
0.760427 + 0.649423i \(0.224989\pi\)
\(504\) −11.8069 12.0567i −0.525920 0.537046i
\(505\) 36.3163 + 24.4627i 1.61606 + 1.08857i
\(506\) −13.4388 3.65122i −0.597428 0.162316i
\(507\) 9.87971 + 28.3741i 0.438773 + 1.26014i
\(508\) 5.93752 1.54663i 0.263435 0.0686205i
\(509\) 5.04310 0.223532 0.111766 0.993735i \(-0.464349\pi\)
0.111766 + 0.993735i \(0.464349\pi\)
\(510\) 31.4417 + 2.28912i 1.39226 + 0.101364i
\(511\) 19.9594i 0.882952i
\(512\) 22.6163 + 0.710420i 0.999507 + 0.0313964i
\(513\) −5.44533 + 5.44533i −0.240417 + 0.240417i
\(514\) 15.7152 + 4.26969i 0.693166 + 0.188328i
\(515\) 23.0310 4.49172i 1.01487 0.197929i
\(516\) −7.68222 4.50710i −0.338191 0.198414i
\(517\) −20.4009 + 20.4009i −0.897231 + 0.897231i
\(518\) −6.16325 10.7616i −0.270797 0.472837i
\(519\) 25.9820 1.14048
\(520\) −0.980744 + 22.7824i −0.0430085 + 0.999075i
\(521\) −8.86981 −0.388593 −0.194297 0.980943i \(-0.562242\pi\)
−0.194297 + 0.980943i \(0.562242\pi\)
\(522\) 11.1833 + 19.5271i 0.489481 + 0.854678i
\(523\) −0.908020 + 0.908020i −0.0397050 + 0.0397050i −0.726681 0.686976i \(-0.758938\pi\)
0.686976 + 0.726681i \(0.258938\pi\)
\(524\) −34.7879 20.4098i −1.51972 0.891605i
\(525\) 27.2877 11.0647i 1.19093 0.482902i
\(526\) −14.9259 4.05526i −0.650802 0.176818i
\(527\) 22.8753 22.8753i 0.996464 0.996464i
\(528\) 25.5138 + 7.21950i 1.11035 + 0.314188i
\(529\) 11.2132i 0.487532i
\(530\) 7.90265 6.83003i 0.343269 0.296678i
\(531\) 11.0417 0.479168
\(532\) −24.9508 + 6.49929i −1.08176 + 0.281780i
\(533\) −11.4159 + 7.16088i −0.494478 + 0.310172i
\(534\) 2.17640 + 0.591311i 0.0941820 + 0.0255885i
\(535\) −7.14198 36.6200i −0.308775 1.58322i
\(536\) −4.06009 + 3.97597i −0.175369 + 0.171736i
\(537\) −6.91419 + 6.91419i −0.298369 + 0.298369i
\(538\) −0.0836351 + 0.0478984i −0.00360576 + 0.00206505i
\(539\) 1.45411i 0.0626328i
\(540\) 6.42211 + 2.25705i 0.276364 + 0.0971278i
\(541\) 6.14081i 0.264014i 0.991249 + 0.132007i \(0.0421421\pi\)
−0.991249 + 0.132007i \(0.957858\pi\)
\(542\) 3.44330 + 6.01232i 0.147903 + 0.258251i
\(543\) 7.99808 7.99808i 0.343230 0.343230i
\(544\) 5.90324 + 23.6758i 0.253100 + 1.01509i
\(545\) 31.5345 + 21.2416i 1.35079 + 0.909890i
\(546\) 26.4890 + 14.1444i 1.13362 + 0.605323i
\(547\) −5.80253 5.80253i −0.248098 0.248098i 0.572091 0.820190i \(-0.306132\pi\)
−0.820190 + 0.572091i \(0.806132\pi\)
\(548\) −27.7170 + 7.21984i −1.18401 + 0.308416i
\(549\) 21.4356i 0.914851i
\(550\) −12.5222 + 15.9540i −0.533950 + 0.680280i
\(551\) 34.3822 1.46473
\(552\) −0.234905 + 22.4412i −0.00999821 + 0.955160i
\(553\) 30.1134 30.1134i 1.28055 1.28055i
\(554\) −24.1319 6.55646i −1.02527 0.278557i
\(555\) −14.7505 9.93590i −0.626122 0.421755i
\(556\) 7.03816 11.9963i 0.298484 0.508758i
\(557\) 8.73598 + 8.73598i 0.370155 + 0.370155i 0.867534 0.497378i \(-0.165704\pi\)
−0.497378 + 0.867534i \(0.665704\pi\)
\(558\) −21.5500 + 12.3418i −0.912283 + 0.522472i
\(559\) 6.77221 + 1.55118i 0.286434 + 0.0656078i
\(560\) 14.7218 + 17.3986i 0.622110 + 0.735225i
\(561\) 28.5935i 1.20722i
\(562\) 27.0317 15.4812i 1.14026 0.653037i
\(563\) 22.9152 22.9152i 0.965762 0.965762i −0.0336711 0.999433i \(-0.510720\pi\)
0.999433 + 0.0336711i \(0.0107199\pi\)
\(564\) 40.1028 + 23.5280i 1.68863 + 0.990708i
\(565\) 2.76784 + 14.1919i 0.116444 + 0.597059i
\(566\) −9.72134 2.64121i −0.408618 0.111018i
\(567\) 18.9948 18.9948i 0.797705 0.797705i
\(568\) −7.93760 0.0830875i −0.333054 0.00348627i
\(569\) 37.0883i 1.55482i −0.628993 0.777411i \(-0.716533\pi\)
0.628993 0.777411i \(-0.283467\pi\)
\(570\) −27.9751 + 24.1781i −1.17175 + 1.01271i
\(571\) 19.8776i 0.831850i 0.909399 + 0.415925i \(0.136542\pi\)
−0.909399 + 0.415925i \(0.863458\pi\)
\(572\) −20.6740 + 0.613271i −0.864423 + 0.0256421i
\(573\) 15.7854 + 15.7854i 0.659445 + 0.659445i
\(574\) −3.53133 + 12.9975i −0.147395 + 0.542507i
\(575\) −15.8097 6.68750i −0.659310 0.278888i
\(576\) 0.392097 18.7271i 0.0163374 0.780294i
\(577\) −20.9677 20.9677i −0.872898 0.872898i 0.119889 0.992787i \(-0.461746\pi\)
−0.992787 + 0.119889i \(0.961746\pi\)
\(578\) −1.97091 + 1.12876i −0.0819792 + 0.0469501i
\(579\) 27.2501i 1.13247i
\(580\) −13.1492 27.4004i −0.545992 1.13774i
\(581\) 11.8523 0.491716
\(582\) −1.40527 2.45373i −0.0582502 0.101710i
\(583\) 6.69905 + 6.69905i 0.277446 + 0.277446i
\(584\) 15.8290 15.5010i 0.655007 0.641437i
\(585\) 18.8669 + 0.614421i 0.780051 + 0.0254032i
\(586\) −8.28031 2.24970i −0.342056 0.0929341i
\(587\) −18.2145 + 18.2145i −0.751793 + 0.751793i −0.974814 0.223021i \(-0.928408\pi\)
0.223021 + 0.974814i \(0.428408\pi\)
\(588\) −2.26769 + 0.590698i −0.0935181 + 0.0243600i
\(589\) 37.9439i 1.56345i
\(590\) −14.8735 1.08287i −0.612332 0.0445809i
\(591\) −16.9457 −0.697054
\(592\) 3.74802 13.2456i 0.154043 0.544389i
\(593\) −24.5024 + 24.5024i −1.00619 + 1.00619i −0.00621080 + 0.999981i \(0.501977\pi\)
−0.999981 + 0.00621080i \(0.998023\pi\)
\(594\) −1.61880 + 5.95821i −0.0664202 + 0.244468i
\(595\) −13.7307 + 20.3842i −0.562906 + 0.835669i
\(596\) −4.68222 + 7.98072i −0.191791 + 0.326903i
\(597\) 3.35442 3.35442i 0.137287 0.137287i
\(598\) −5.08871 16.7499i −0.208093 0.684956i
\(599\) −35.5348 −1.45191 −0.725955 0.687742i \(-0.758602\pi\)
−0.725955 + 0.687742i \(0.758602\pi\)
\(600\) 29.9673 + 13.0476i 1.22341 + 0.532667i
\(601\) 29.2793 1.19433 0.597165 0.802119i \(-0.296294\pi\)
0.597165 + 0.802119i \(0.296294\pi\)
\(602\) 6.02564 3.45093i 0.245587 0.140649i
\(603\) 3.32634 + 3.32634i 0.135459 + 0.135459i
\(604\) 22.1146 37.6937i 0.899831 1.53374i
\(605\) 5.14323 + 3.46447i 0.209102 + 0.140851i
\(606\) 61.7642 + 16.7809i 2.50900 + 0.681676i
\(607\) 29.5098 + 29.5098i 1.19777 + 1.19777i 0.974834 + 0.222933i \(0.0715632\pi\)
0.222933 + 0.974834i \(0.428437\pi\)
\(608\) −24.5318 14.7399i −0.994897 0.597783i
\(609\) −40.0219 −1.62177
\(610\) −2.10221 + 28.8745i −0.0851160 + 1.16909i
\(611\) −35.3524 8.09747i −1.43021 0.327589i
\(612\) 19.5468 5.09163i 0.790133 0.205817i
\(613\) 25.7721 25.7721i 1.04093 1.04093i 0.0417992 0.999126i \(-0.486691\pi\)
0.999126 0.0417992i \(-0.0133090\pi\)
\(614\) −31.5186 8.56336i −1.27199 0.345589i
\(615\) 3.69737 + 18.9580i 0.149093 + 0.764462i
\(616\) −14.7695 + 14.4635i −0.595080 + 0.582751i
\(617\) −22.8970 22.8970i −0.921800 0.921800i 0.0753568 0.997157i \(-0.475990\pi\)
−0.997157 + 0.0753568i \(0.975990\pi\)
\(618\) 29.7631 17.0456i 1.19725 0.685674i
\(619\) 24.6592i 0.991136i 0.868569 + 0.495568i \(0.165040\pi\)
−0.868569 + 0.495568i \(0.834960\pi\)
\(620\) 30.2389 14.5114i 1.21442 0.582792i
\(621\) −5.22576 −0.209703
\(622\) 10.5172 6.02327i 0.421701 0.241511i
\(623\) −1.24328 + 1.24328i −0.0498111 + 0.0498111i
\(624\) 9.35474 + 31.9922i 0.374489 + 1.28071i
\(625\) −17.9400 + 17.4114i −0.717600 + 0.696455i
\(626\) 1.90166 6.99930i 0.0760054 0.279748i
\(627\) −23.7144 23.7144i −0.947063 0.947063i
\(628\) −2.53537 9.73331i −0.101172 0.388401i
\(629\) 14.8444 0.591885
\(630\) 14.2743 12.3369i 0.568704 0.491514i
\(631\) 23.6013 0.939553 0.469777 0.882785i \(-0.344334\pi\)
0.469777 + 0.882785i \(0.344334\pi\)
\(632\) 47.2685 + 0.494787i 1.88024 + 0.0196816i
\(633\) −35.7494 35.7494i −1.42091 1.42091i
\(634\) 5.68252 20.9153i 0.225682 0.830652i
\(635\) 1.31313 + 6.73301i 0.0521101 + 0.267191i
\(636\) 7.72590 13.1686i 0.306352 0.522168i
\(637\) 1.54848 0.971319i 0.0613529 0.0384850i
\(638\) 23.9209 13.6997i 0.947036 0.542375i
\(639\) 6.57117i 0.259952i
\(640\) −2.36474 + 25.1875i −0.0934747 + 0.995622i
\(641\) 36.2451 1.43160 0.715798 0.698307i \(-0.246063\pi\)
0.715798 + 0.698307i \(0.246063\pi\)
\(642\) −27.1030 47.3243i −1.06967 1.86774i
\(643\) −16.7752 16.7752i −0.661550 0.661550i 0.294195 0.955745i \(-0.404948\pi\)
−0.955745 + 0.294195i \(0.904948\pi\)
\(644\) −15.0910 8.85377i −0.594668 0.348887i
\(645\) 5.56331 8.25909i 0.219055 0.325201i
\(646\) 8.09172 29.7827i 0.318365 1.17178i
\(647\) −13.2465 13.2465i −0.520773 0.520773i 0.397032 0.917805i \(-0.370040\pi\)
−0.917805 + 0.397032i \(0.870040\pi\)
\(648\) 29.8158 + 0.312099i 1.17128 + 0.0122604i
\(649\) 13.5262i 0.530948i
\(650\) −25.3541 2.67794i −0.994468 0.105037i
\(651\) 44.1679i 1.73107i
\(652\) 6.77598 1.76503i 0.265368 0.0691241i
\(653\) −4.44968 4.44968i −0.174129 0.174129i 0.614662 0.788791i \(-0.289293\pi\)
−0.788791 + 0.614662i \(0.789293\pi\)
\(654\) 53.6316 + 14.5713i 2.09716 + 0.569782i
\(655\) 25.1927 37.4002i 0.984361 1.46134i
\(656\) −13.0503 + 7.29369i −0.509530 + 0.284771i
\(657\) −12.9683 12.9683i −0.505942 0.505942i
\(658\) −31.4551 + 18.0146i −1.22625 + 0.702282i
\(659\) 5.67561 0.221090 0.110545 0.993871i \(-0.464740\pi\)
0.110545 + 0.993871i \(0.464740\pi\)
\(660\) −9.82944 + 27.9683i −0.382610 + 1.08866i
\(661\) 49.0755i 1.90882i 0.298506 + 0.954408i \(0.403512\pi\)
−0.298506 + 0.954408i \(0.596488\pi\)
\(662\) 6.51817 + 11.3813i 0.253336 + 0.442348i
\(663\) −30.4493 + 19.1000i −1.18255 + 0.741782i
\(664\) 9.20481 + 9.39955i 0.357216 + 0.364773i
\(665\) −5.51810 28.2937i −0.213983 1.09718i
\(666\) −10.9967 2.98771i −0.426112 0.115771i
\(667\) 16.4979 + 16.4979i 0.638801 + 0.638801i
\(668\) −10.8694 41.7277i −0.420549 1.61449i
\(669\) 28.6256 1.10673
\(670\) −4.15447 4.80690i −0.160501 0.185707i
\(671\) −26.2588 −1.01371
\(672\) 28.5558 + 17.1577i 1.10156 + 0.661873i
\(673\) 2.37388 + 2.37388i 0.0915062 + 0.0915062i 0.751378 0.659872i \(-0.229389\pi\)
−0.659872 + 0.751378i \(0.729389\pi\)
\(674\) 9.79984 + 2.66254i 0.377476 + 0.102557i
\(675\) −2.96496 + 7.00937i −0.114121 + 0.269791i
\(676\) −14.4630 21.6061i −0.556267 0.831003i
\(677\) 15.4186 15.4186i 0.592585 0.592585i −0.345744 0.938329i \(-0.612373\pi\)
0.938329 + 0.345744i \(0.112373\pi\)
\(678\) 10.5036 + 18.3403i 0.403390 + 0.704356i
\(679\) 2.20448 0.0846000
\(680\) −26.8295 + 4.94161i −1.02886 + 0.189502i
\(681\) 34.2875i 1.31390i
\(682\) 15.1188 + 26.3989i 0.578930 + 1.01087i
\(683\) 25.1139 + 25.1139i 0.960957 + 0.960957i 0.999266 0.0383091i \(-0.0121971\pi\)
−0.0383091 + 0.999266i \(0.512197\pi\)
\(684\) −11.9886 + 20.4342i −0.458396 + 0.781323i
\(685\) −6.12986 31.4305i −0.234210 1.20090i
\(686\) 7.09277 26.1059i 0.270803 0.996727i
\(687\) −27.5468 + 27.5468i −1.05097 + 1.05097i
\(688\) 7.41646 + 2.09860i 0.282750 + 0.0800082i
\(689\) −2.65897 + 11.6087i −0.101299 + 0.442255i
\(690\) −25.0251 1.82196i −0.952691 0.0693608i
\(691\) 13.9179 0.529461 0.264730 0.964322i \(-0.414717\pi\)
0.264730 + 0.964322i \(0.414717\pi\)
\(692\) −21.7580 + 5.66762i −0.827117 + 0.215451i
\(693\) 12.1003 + 12.1003i 0.459653 + 0.459653i
\(694\) −1.66150 + 6.11537i −0.0630697 + 0.232136i
\(695\) 12.8972 + 8.68752i 0.489217 + 0.329536i
\(696\) −31.0821 31.7397i −1.17816 1.20309i
\(697\) −11.3999 11.3999i −0.431800 0.431800i
\(698\) −11.4895 20.0617i −0.434883 0.759345i
\(699\) −19.5447 −0.739249
\(700\) −20.4379 + 15.2183i −0.772479 + 0.575198i
\(701\) 16.3609 0.617941 0.308971 0.951072i \(-0.400016\pi\)
0.308971 + 0.951072i \(0.400016\pi\)
\(702\) −7.42624 + 2.25612i −0.280285 + 0.0851520i
\(703\) −12.3114 + 12.3114i −0.464334 + 0.464334i
\(704\) −22.9408 0.480321i −0.864613 0.0181028i
\(705\) −29.0417 + 43.1142i −1.09377 + 1.62378i
\(706\) 27.6840 + 7.52152i 1.04190 + 0.283076i
\(707\) −35.2833 + 35.2833i −1.32696 + 1.32696i
\(708\) −21.0942 + 5.49469i −0.792768 + 0.206503i
\(709\) −43.9222 −1.64953 −0.824766 0.565474i \(-0.808693\pi\)
−0.824766 + 0.565474i \(0.808693\pi\)
\(710\) 0.644440 8.85157i 0.0241854 0.332193i
\(711\) 39.1314i 1.46754i
\(712\) −1.95156 0.0204281i −0.0731379 0.000765576i
\(713\) −18.2070 + 18.2070i −0.681856 + 0.681856i
\(714\) −9.41900 + 34.6679i −0.352497 + 1.29741i
\(715\) 0.752671 23.1121i 0.0281483 0.864345i
\(716\) 4.28190 7.29837i 0.160022 0.272753i
\(717\) −4.15396 4.15396i −0.155133 0.155133i
\(718\) 28.5958 16.3771i 1.06719 0.611186i
\(719\) −31.4906 −1.17440 −0.587200 0.809442i \(-0.699770\pi\)
−0.587200 + 0.809442i \(0.699770\pi\)
\(720\) 20.8697 + 1.73920i 0.777769 + 0.0648163i
\(721\) 26.7398i 0.995842i
\(722\) 4.63595 + 8.09479i 0.172532 + 0.301257i
\(723\) 1.42717 + 1.42717i 0.0530770 + 0.0530770i
\(724\) −4.95314 + 8.44248i −0.184082 + 0.313762i
\(725\) 31.4893 12.7683i 1.16948 0.474203i
\(726\) 8.74723 + 2.37655i 0.324640 + 0.0882022i
\(727\) −8.98640 8.98640i −0.333287 0.333287i 0.520546 0.853833i \(-0.325728\pi\)
−0.853833 + 0.520546i \(0.825728\pi\)
\(728\) −25.2680 6.06667i −0.936493 0.224846i
\(729\) 14.1295i 0.523315i
\(730\) 16.1969 + 18.7405i 0.599474 + 0.693618i
\(731\) 8.31169i 0.307419i
\(732\) 10.6671 + 40.9509i 0.394266 + 1.51359i
\(733\) −4.04919 + 4.04919i −0.149560 + 0.149560i −0.777922 0.628361i \(-0.783726\pi\)
0.628361 + 0.777922i \(0.283726\pi\)
\(734\) −13.5670 + 49.9352i −0.500767 + 1.84314i
\(735\) −0.501520 2.57151i −0.0184989 0.0948516i
\(736\) −4.69852 18.8441i −0.173190 0.694603i
\(737\) 4.07479 4.07479i 0.150097 0.150097i
\(738\) 6.15052 + 10.7394i 0.226404 + 0.395322i
\(739\) 8.88137i 0.326707i −0.986568 0.163353i \(-0.947769\pi\)
0.986568 0.163353i \(-0.0522310\pi\)
\(740\) 14.5198 + 5.10298i 0.533759 + 0.187589i
\(741\) 9.41267 41.0944i 0.345783 1.50964i
\(742\) 5.91546 + 10.3289i 0.217163 + 0.379187i
\(743\) −10.7934 10.7934i −0.395972 0.395972i 0.480837 0.876810i \(-0.340333\pi\)
−0.876810 + 0.480837i \(0.840333\pi\)
\(744\) 35.0277 34.3020i 1.28418 1.25757i
\(745\) −8.58000 5.77948i −0.314347 0.211744i
\(746\) 3.70578 13.6396i 0.135678 0.499382i
\(747\) 7.70084 7.70084i 0.281759 0.281759i
\(748\) −6.23728 23.9450i −0.228058 0.875516i
\(749\) 42.5171 1.55354
\(750\) −16.6424 + 32.5327i −0.607695 + 1.18793i
\(751\) 14.6670i 0.535208i 0.963529 + 0.267604i \(0.0862319\pi\)
−0.963529 + 0.267604i \(0.913768\pi\)
\(752\) −38.7155 10.9551i −1.41181 0.399492i
\(753\) −22.8908 22.8908i −0.834186 0.834186i
\(754\) 30.5675 + 16.3222i 1.11320 + 0.594419i
\(755\) 40.5242 + 27.2971i 1.47483 + 0.993442i
\(756\) −3.92539 + 6.69072i −0.142765 + 0.243339i
\(757\) 13.5345 13.5345i 0.491920 0.491920i −0.416991 0.908911i \(-0.636915\pi\)
0.908911 + 0.416991i \(0.136915\pi\)
\(758\) −12.6567 + 7.24861i −0.459713 + 0.263281i
\(759\) 22.7582i 0.826071i
\(760\) 18.1530 26.3498i 0.658479 0.955808i
\(761\) 26.1550i 0.948120i −0.880493 0.474060i \(-0.842788\pi\)
0.880493 0.474060i \(-0.157212\pi\)
\(762\) 4.98319 + 8.70111i 0.180522 + 0.315208i
\(763\) −30.6374 + 30.6374i −1.10915 + 1.10915i
\(764\) −16.6625 9.77576i −0.602828 0.353675i
\(765\) 4.32295 + 22.1656i 0.156297 + 0.801400i
\(766\) 3.03632 11.1756i 0.109707 0.403790i
\(767\) 14.4040 9.03525i 0.520099 0.326244i
\(768\) 8.57011 + 35.9715i 0.309247 + 1.29801i
\(769\) −1.57519 −0.0568028 −0.0284014 0.999597i \(-0.509042\pi\)
−0.0284014 + 0.999597i \(0.509042\pi\)
\(770\) −15.1128 17.4862i −0.544628 0.630158i
\(771\) 26.6131i 0.958449i
\(772\) 5.94423 + 22.8200i 0.213938 + 0.821308i
\(773\) 7.11384 7.11384i 0.255867 0.255867i −0.567504 0.823371i \(-0.692091\pi\)
0.823371 + 0.567504i \(0.192091\pi\)
\(774\) 1.67288 6.15725i 0.0601304 0.221318i
\(775\) 14.0910 + 34.7513i 0.506165 + 1.24830i