Properties

Label 690.2.m.h.331.1
Level $690$
Weight $2$
Character 690.331
Analytic conductor $5.510$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.m (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(3\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 331.1
Character \(\chi\) \(=\) 690.331
Dual form 690.2.m.h.271.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.959493 - 0.281733i) q^{2} +(-0.654861 - 0.755750i) q^{3} +(0.841254 - 0.540641i) q^{4} +(0.142315 + 0.989821i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(-1.89055 + 4.13973i) q^{7} +(0.654861 - 0.755750i) q^{8} +(-0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(0.959493 - 0.281733i) q^{2} +(-0.654861 - 0.755750i) q^{3} +(0.841254 - 0.540641i) q^{4} +(0.142315 + 0.989821i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(-1.89055 + 4.13973i) q^{7} +(0.654861 - 0.755750i) q^{8} +(-0.142315 + 0.989821i) q^{9} +(0.415415 + 0.909632i) q^{10} +(-5.69717 - 1.67284i) q^{11} +(-0.959493 - 0.281733i) q^{12} +(2.66114 + 5.82708i) q^{13} +(-0.647674 + 4.50467i) q^{14} +(0.654861 - 0.755750i) q^{15} +(0.415415 - 0.909632i) q^{16} +(1.63381 + 1.04999i) q^{17} +(0.142315 + 0.989821i) q^{18} +(-4.19949 + 2.69885i) q^{19} +(0.654861 + 0.755750i) q^{20} +(4.36665 - 1.28216i) q^{21} -5.93769 q^{22} +(-4.53841 - 1.55010i) q^{23} -1.00000 q^{24} +(-0.959493 + 0.281733i) q^{25} +(4.19502 + 4.84131i) q^{26} +(0.841254 - 0.540641i) q^{27} +(0.647674 + 4.50467i) q^{28} +(4.82554 + 3.10118i) q^{29} +(0.415415 - 0.909632i) q^{30} +(1.95199 - 2.25272i) q^{31} +(0.142315 - 0.989821i) q^{32} +(2.46661 + 5.40111i) q^{33} +(1.86345 + 0.547157i) q^{34} +(-4.36665 - 1.28216i) q^{35} +(0.415415 + 0.909632i) q^{36} +(0.612262 - 4.25838i) q^{37} +(-3.26903 + 3.77266i) q^{38} +(2.66114 - 5.82708i) q^{39} +(0.841254 + 0.540641i) q^{40} +(0.242109 + 1.68390i) q^{41} +(3.82854 - 2.46045i) q^{42} +(2.38869 + 2.75670i) q^{43} +(-5.69717 + 1.67284i) q^{44} -1.00000 q^{45} +(-4.79129 - 0.208693i) q^{46} +7.68917 q^{47} +(-0.959493 + 0.281733i) q^{48} +(-8.97916 - 10.3625i) q^{49} +(-0.841254 + 0.540641i) q^{50} +(-0.276392 - 1.92235i) q^{51} +(5.38905 + 3.46333i) q^{52} +(3.24074 - 7.09623i) q^{53} +(0.654861 - 0.755750i) q^{54} +(0.845021 - 5.87725i) q^{55} +(1.89055 + 4.13973i) q^{56} +(4.78973 + 1.40639i) q^{57} +(5.50377 + 1.61605i) q^{58} +(5.34869 + 11.7120i) q^{59} +(0.142315 - 0.989821i) q^{60} +(-7.80181 + 9.00377i) q^{61} +(1.23826 - 2.71141i) q^{62} +(-3.82854 - 2.46045i) q^{63} +(-0.142315 - 0.989821i) q^{64} +(-5.38905 + 3.46333i) q^{65} +(3.88836 + 4.48741i) q^{66} +(9.62355 - 2.82573i) q^{67} +1.94211 q^{68} +(1.80054 + 4.44500i) q^{69} -4.55100 q^{70} +(-3.97507 + 1.16719i) q^{71} +(0.654861 + 0.755750i) q^{72} +(-4.73896 + 3.04555i) q^{73} +(-0.612262 - 4.25838i) q^{74} +(0.841254 + 0.540641i) q^{75} +(-2.07373 + 4.54083i) q^{76} +(17.6959 - 20.4222i) q^{77} +(0.911665 - 6.34077i) q^{78} +(2.82179 + 6.17886i) q^{79} +(0.959493 + 0.281733i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(0.706713 + 1.54748i) q^{82} +(1.06972 - 7.44010i) q^{83} +(2.98027 - 3.43941i) q^{84} +(-0.806784 + 1.76661i) q^{85} +(3.06859 + 1.97206i) q^{86} +(-0.816336 - 5.67774i) q^{87} +(-4.99510 + 3.21016i) q^{88} +(-1.61061 - 1.85874i) q^{89} +(-0.959493 + 0.281733i) q^{90} -29.1536 q^{91} +(-4.65600 + 1.14962i) q^{92} -2.98078 q^{93} +(7.37771 - 2.16629i) q^{94} +(-3.26903 - 3.77266i) q^{95} +(-0.841254 + 0.540641i) q^{96} +(1.14642 + 7.97352i) q^{97} +(-11.5349 - 7.41303i) q^{98} +(2.46661 - 5.40111i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q + 3q^{2} - 3q^{3} - 3q^{4} + 3q^{5} + 3q^{6} + 8q^{7} + 3q^{8} - 3q^{9} + O(q^{10}) \) \( 30q + 3q^{2} - 3q^{3} - 3q^{4} + 3q^{5} + 3q^{6} + 8q^{7} + 3q^{8} - 3q^{9} - 3q^{10} - 18q^{11} - 3q^{12} + 13q^{13} - 8q^{14} + 3q^{15} - 3q^{16} - 6q^{17} + 3q^{18} + 4q^{19} + 3q^{20} - 3q^{21} - 4q^{22} - 23q^{23} - 30q^{24} - 3q^{25} + 9q^{26} - 3q^{27} + 8q^{28} + 18q^{29} - 3q^{30} - 8q^{31} + 3q^{32} + 4q^{33} - 5q^{34} + 3q^{35} - 3q^{36} - 32q^{37} - 15q^{38} + 13q^{39} - 3q^{40} + 35q^{41} + 3q^{42} + 48q^{43} - 18q^{44} - 30q^{45} + q^{46} + 8q^{47} - 3q^{48} - 11q^{49} + 3q^{50} + 27q^{51} + 2q^{52} + 26q^{53} + 3q^{54} - 4q^{55} - 8q^{56} - 29q^{57} - 7q^{58} + 55q^{59} + 3q^{60} + 21q^{61} + 8q^{62} - 3q^{63} - 3q^{64} - 2q^{65} + 7q^{66} + 4q^{67} - 28q^{68} - 45q^{69} - 14q^{70} - 41q^{71} + 3q^{72} - 39q^{73} + 32q^{74} - 3q^{75} + 4q^{76} - 33q^{77} - 2q^{78} + 18q^{79} + 3q^{80} - 3q^{81} + 31q^{82} - 85q^{83} - 3q^{84} - 5q^{85} + 40q^{86} + 18q^{87} - 15q^{88} + 43q^{89} - 3q^{90} + 38q^{91} + 10q^{92} + 36q^{93} - 19q^{94} - 15q^{95} + 3q^{96} + 43q^{97} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{5}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.959493 0.281733i 0.678464 0.199215i
\(3\) −0.654861 0.755750i −0.378084 0.436332i
\(4\) 0.841254 0.540641i 0.420627 0.270320i
\(5\) 0.142315 + 0.989821i 0.0636451 + 0.442662i
\(6\) −0.841254 0.540641i −0.343440 0.220716i
\(7\) −1.89055 + 4.13973i −0.714561 + 1.56467i 0.106811 + 0.994279i \(0.465936\pi\)
−0.821373 + 0.570392i \(0.806791\pi\)
\(8\) 0.654861 0.755750i 0.231528 0.267198i
\(9\) −0.142315 + 0.989821i −0.0474383 + 0.329940i
\(10\) 0.415415 + 0.909632i 0.131366 + 0.287651i
\(11\) −5.69717 1.67284i −1.71776 0.504380i −0.733289 0.679917i \(-0.762016\pi\)
−0.984473 + 0.175537i \(0.943834\pi\)
\(12\) −0.959493 0.281733i −0.276982 0.0813292i
\(13\) 2.66114 + 5.82708i 0.738067 + 1.61614i 0.786708 + 0.617325i \(0.211784\pi\)
−0.0486416 + 0.998816i \(0.515489\pi\)
\(14\) −0.647674 + 4.50467i −0.173098 + 1.20392i
\(15\) 0.654861 0.755750i 0.169084 0.195134i
\(16\) 0.415415 0.909632i 0.103854 0.227408i
\(17\) 1.63381 + 1.04999i 0.396257 + 0.254659i 0.723562 0.690260i \(-0.242504\pi\)
−0.327304 + 0.944919i \(0.606140\pi\)
\(18\) 0.142315 + 0.989821i 0.0335439 + 0.233303i
\(19\) −4.19949 + 2.69885i −0.963429 + 0.619158i −0.924945 0.380101i \(-0.875889\pi\)
−0.0384837 + 0.999259i \(0.512253\pi\)
\(20\) 0.654861 + 0.755750i 0.146431 + 0.168991i
\(21\) 4.36665 1.28216i 0.952881 0.279791i
\(22\) −5.93769 −1.26592
\(23\) −4.53841 1.55010i −0.946324 0.323218i
\(24\) −1.00000 −0.204124
\(25\) −0.959493 + 0.281733i −0.191899 + 0.0563465i
\(26\) 4.19502 + 4.84131i 0.822711 + 0.949459i
\(27\) 0.841254 0.540641i 0.161899 0.104046i
\(28\) 0.647674 + 4.50467i 0.122399 + 0.851303i
\(29\) 4.82554 + 3.10118i 0.896079 + 0.575875i 0.905625 0.424079i \(-0.139402\pi\)
−0.00954565 + 0.999954i \(0.503039\pi\)
\(30\) 0.415415 0.909632i 0.0758441 0.166075i
\(31\) 1.95199 2.25272i 0.350588 0.404601i −0.552876 0.833263i \(-0.686470\pi\)
0.903465 + 0.428663i \(0.141015\pi\)
\(32\) 0.142315 0.989821i 0.0251579 0.174977i
\(33\) 2.46661 + 5.40111i 0.429381 + 0.940213i
\(34\) 1.86345 + 0.547157i 0.319578 + 0.0938367i
\(35\) −4.36665 1.28216i −0.738098 0.216725i
\(36\) 0.415415 + 0.909632i 0.0692358 + 0.151605i
\(37\) 0.612262 4.25838i 0.100655 0.700073i −0.875535 0.483155i \(-0.839491\pi\)
0.976190 0.216918i \(-0.0696003\pi\)
\(38\) −3.26903 + 3.77266i −0.530306 + 0.612006i
\(39\) 2.66114 5.82708i 0.426123 0.933079i
\(40\) 0.841254 + 0.540641i 0.133014 + 0.0854828i
\(41\) 0.242109 + 1.68390i 0.0378111 + 0.262982i 0.999954 0.00956266i \(-0.00304394\pi\)
−0.962143 + 0.272544i \(0.912135\pi\)
\(42\) 3.82854 2.46045i 0.590757 0.379656i
\(43\) 2.38869 + 2.75670i 0.364272 + 0.420393i 0.908067 0.418826i \(-0.137558\pi\)
−0.543794 + 0.839219i \(0.683013\pi\)
\(44\) −5.69717 + 1.67284i −0.858881 + 0.252190i
\(45\) −1.00000 −0.149071
\(46\) −4.79129 0.208693i −0.706437 0.0307701i
\(47\) 7.68917 1.12158 0.560790 0.827958i \(-0.310497\pi\)
0.560790 + 0.827958i \(0.310497\pi\)
\(48\) −0.959493 + 0.281733i −0.138491 + 0.0406646i
\(49\) −8.97916 10.3625i −1.28274 1.48036i
\(50\) −0.841254 + 0.540641i −0.118971 + 0.0764582i
\(51\) −0.276392 1.92235i −0.0387026 0.269182i
\(52\) 5.38905 + 3.46333i 0.747327 + 0.480278i
\(53\) 3.24074 7.09623i 0.445150 0.974742i −0.545475 0.838127i \(-0.683651\pi\)
0.990624 0.136614i \(-0.0436221\pi\)
\(54\) 0.654861 0.755750i 0.0891153 0.102844i
\(55\) 0.845021 5.87725i 0.113943 0.792489i
\(56\) 1.89055 + 4.13973i 0.252636 + 0.553195i
\(57\) 4.78973 + 1.40639i 0.634416 + 0.186281i
\(58\) 5.50377 + 1.61605i 0.722681 + 0.212198i
\(59\) 5.34869 + 11.7120i 0.696340 + 1.52477i 0.844353 + 0.535787i \(0.179985\pi\)
−0.148013 + 0.988985i \(0.547288\pi\)
\(60\) 0.142315 0.989821i 0.0183728 0.127785i
\(61\) −7.80181 + 9.00377i −0.998919 + 1.15281i −0.0106734 + 0.999943i \(0.503398\pi\)
−0.988246 + 0.152871i \(0.951148\pi\)
\(62\) 1.23826 2.71141i 0.157259 0.344349i
\(63\) −3.82854 2.46045i −0.482351 0.309988i
\(64\) −0.142315 0.989821i −0.0177894 0.123728i
\(65\) −5.38905 + 3.46333i −0.668429 + 0.429573i
\(66\) 3.88836 + 4.48741i 0.478624 + 0.552362i
\(67\) 9.62355 2.82573i 1.17570 0.345218i 0.365187 0.930934i \(-0.381005\pi\)
0.810516 + 0.585716i \(0.199187\pi\)
\(68\) 1.94211 0.235516
\(69\) 1.80054 + 4.44500i 0.216759 + 0.535116i
\(70\) −4.55100 −0.543948
\(71\) −3.97507 + 1.16719i −0.471754 + 0.138520i −0.508964 0.860788i \(-0.669971\pi\)
0.0372095 + 0.999307i \(0.488153\pi\)
\(72\) 0.654861 + 0.755750i 0.0771761 + 0.0890659i
\(73\) −4.73896 + 3.04555i −0.554654 + 0.356454i −0.787746 0.616000i \(-0.788752\pi\)
0.233092 + 0.972455i \(0.425116\pi\)
\(74\) −0.612262 4.25838i −0.0711741 0.495026i
\(75\) 0.841254 + 0.540641i 0.0971396 + 0.0624278i
\(76\) −2.07373 + 4.54083i −0.237873 + 0.520869i
\(77\) 17.6959 20.4222i 2.01664 2.32732i
\(78\) 0.911665 6.34077i 0.103226 0.717951i
\(79\) 2.82179 + 6.17886i 0.317476 + 0.695177i 0.999341 0.0363021i \(-0.0115578\pi\)
−0.681864 + 0.731479i \(0.738831\pi\)
\(80\) 0.959493 + 0.281733i 0.107275 + 0.0314987i
\(81\) −0.959493 0.281733i −0.106610 0.0313036i
\(82\) 0.706713 + 1.54748i 0.0780433 + 0.170891i
\(83\) 1.06972 7.44010i 0.117417 0.816657i −0.842964 0.537969i \(-0.819192\pi\)
0.960382 0.278687i \(-0.0898993\pi\)
\(84\) 2.98027 3.43941i 0.325174 0.375271i
\(85\) −0.806784 + 1.76661i −0.0875080 + 0.191616i
\(86\) 3.06859 + 1.97206i 0.330894 + 0.212653i
\(87\) −0.816336 5.67774i −0.0875204 0.608718i
\(88\) −4.99510 + 3.21016i −0.532480 + 0.342204i
\(89\) −1.61061 1.85874i −0.170724 0.197026i 0.663940 0.747786i \(-0.268883\pi\)
−0.834663 + 0.550761i \(0.814338\pi\)
\(90\) −0.959493 + 0.281733i −0.101139 + 0.0296972i
\(91\) −29.1536 −3.05612
\(92\) −4.65600 + 1.14962i −0.485422 + 0.119856i
\(93\) −2.98078 −0.309092
\(94\) 7.37771 2.16629i 0.760952 0.223436i
\(95\) −3.26903 3.77266i −0.335395 0.387066i
\(96\) −0.841254 + 0.540641i −0.0858601 + 0.0551789i
\(97\) 1.14642 + 7.97352i 0.116401 + 0.809588i 0.961466 + 0.274924i \(0.0886528\pi\)
−0.845065 + 0.534664i \(0.820438\pi\)
\(98\) −11.5349 7.41303i −1.16520 0.748829i
\(99\) 2.46661 5.40111i 0.247903 0.542832i
\(100\) −0.654861 + 0.755750i −0.0654861 + 0.0755750i
\(101\) 1.80977 12.5872i 0.180079 1.25248i −0.676493 0.736449i \(-0.736501\pi\)
0.856572 0.516027i \(-0.172590\pi\)
\(102\) −0.806784 1.76661i −0.0798835 0.174920i
\(103\) −11.9106 3.49728i −1.17359 0.344597i −0.363890 0.931442i \(-0.618552\pi\)
−0.809700 + 0.586845i \(0.800370\pi\)
\(104\) 6.14649 + 1.80477i 0.602713 + 0.176972i
\(105\) 1.89055 + 4.13973i 0.184499 + 0.403996i
\(106\) 1.11023 7.72180i 0.107835 0.750007i
\(107\) 4.64167 5.35677i 0.448727 0.517859i −0.485646 0.874156i \(-0.661415\pi\)
0.934373 + 0.356297i \(0.115961\pi\)
\(108\) 0.415415 0.909632i 0.0399733 0.0875294i
\(109\) −5.51311 3.54306i −0.528060 0.339364i 0.249293 0.968428i \(-0.419802\pi\)
−0.777353 + 0.629064i \(0.783438\pi\)
\(110\) −0.845021 5.87725i −0.0805696 0.560374i
\(111\) −3.61921 + 2.32593i −0.343521 + 0.220767i
\(112\) 2.98027 + 3.43941i 0.281609 + 0.324994i
\(113\) −16.1049 + 4.72883i −1.51502 + 0.444851i −0.930428 0.366474i \(-0.880565\pi\)
−0.584596 + 0.811325i \(0.698747\pi\)
\(114\) 4.99194 0.467538
\(115\) 0.888440 4.71282i 0.0828475 0.439473i
\(116\) 5.73613 0.532586
\(117\) −6.14649 + 1.80477i −0.568243 + 0.166851i
\(118\) 8.43168 + 9.73068i 0.776199 + 0.895782i
\(119\) −7.43547 + 4.77848i −0.681608 + 0.438043i
\(120\) −0.142315 0.989821i −0.0129915 0.0903579i
\(121\) 20.4056 + 13.1139i 1.85505 + 1.19217i
\(122\) −4.94913 + 10.8371i −0.448073 + 0.981143i
\(123\) 1.11406 1.28570i 0.100452 0.115927i
\(124\) 0.424209 2.95044i 0.0380951 0.264957i
\(125\) −0.415415 0.909632i −0.0371558 0.0813600i
\(126\) −4.36665 1.28216i −0.389012 0.114224i
\(127\) 4.78273 + 1.40433i 0.424398 + 0.124615i 0.486955 0.873427i \(-0.338107\pi\)
−0.0625572 + 0.998041i \(0.519926\pi\)
\(128\) −0.415415 0.909632i −0.0367178 0.0804009i
\(129\) 0.519113 3.61051i 0.0457053 0.317887i
\(130\) −4.19502 + 4.84131i −0.367928 + 0.424611i
\(131\) −1.62719 + 3.56305i −0.142168 + 0.311305i −0.967300 0.253635i \(-0.918374\pi\)
0.825132 + 0.564941i \(0.191101\pi\)
\(132\) 4.99510 + 3.21016i 0.434768 + 0.279408i
\(133\) −3.23315 22.4871i −0.280350 1.94988i
\(134\) 8.43763 5.42253i 0.728900 0.468435i
\(135\) 0.654861 + 0.755750i 0.0563614 + 0.0650446i
\(136\) 1.86345 0.547157i 0.159789 0.0469183i
\(137\) −1.43020 −0.122190 −0.0610952 0.998132i \(-0.519459\pi\)
−0.0610952 + 0.998132i \(0.519459\pi\)
\(138\) 2.97991 + 3.75768i 0.253667 + 0.319875i
\(139\) 6.63271 0.562579 0.281290 0.959623i \(-0.409238\pi\)
0.281290 + 0.959623i \(0.409238\pi\)
\(140\) −4.36665 + 1.28216i −0.369049 + 0.108363i
\(141\) −5.03534 5.81109i −0.424052 0.489382i
\(142\) −3.48522 + 2.23981i −0.292473 + 0.187961i
\(143\) −5.41318 37.6495i −0.452673 3.14841i
\(144\) 0.841254 + 0.540641i 0.0701045 + 0.0450534i
\(145\) −2.38287 + 5.21776i −0.197887 + 0.433312i
\(146\) −3.68897 + 4.25730i −0.305302 + 0.352337i
\(147\) −1.95136 + 13.5720i −0.160945 + 1.11940i
\(148\) −1.78719 3.91339i −0.146906 0.321679i
\(149\) 0.953265 + 0.279904i 0.0780945 + 0.0229306i 0.320546 0.947233i \(-0.396133\pi\)
−0.242452 + 0.970163i \(0.577952\pi\)
\(150\) 0.959493 + 0.281733i 0.0783423 + 0.0230034i
\(151\) 1.28686 + 2.81783i 0.104723 + 0.229311i 0.954739 0.297446i \(-0.0961349\pi\)
−0.850016 + 0.526758i \(0.823408\pi\)
\(152\) −0.710427 + 4.94113i −0.0576233 + 0.400779i
\(153\) −1.27181 + 1.46775i −0.102820 + 0.118661i
\(154\) 11.2255 24.5804i 0.904577 1.98075i
\(155\) 2.50759 + 1.61153i 0.201414 + 0.129441i
\(156\) −0.911665 6.34077i −0.0729916 0.507668i
\(157\) 16.5840 10.6579i 1.32355 0.850593i 0.327985 0.944683i \(-0.393631\pi\)
0.995564 + 0.0940901i \(0.0299942\pi\)
\(158\) 4.44828 + 5.13359i 0.353886 + 0.408406i
\(159\) −7.48520 + 2.19785i −0.593615 + 0.174301i
\(160\) 1.00000 0.0790569
\(161\) 14.9971 15.8573i 1.18194 1.24973i
\(162\) −1.00000 −0.0785674
\(163\) 1.07416 0.315403i 0.0841349 0.0247042i −0.239394 0.970922i \(-0.576949\pi\)
0.323529 + 0.946218i \(0.395131\pi\)
\(164\) 1.11406 + 1.28570i 0.0869937 + 0.100396i
\(165\) −4.99510 + 3.21016i −0.388868 + 0.249910i
\(166\) −1.06972 7.44010i −0.0830267 0.577463i
\(167\) 1.75940 + 1.13070i 0.136146 + 0.0874960i 0.606941 0.794747i \(-0.292396\pi\)
−0.470795 + 0.882243i \(0.656033\pi\)
\(168\) 1.89055 4.13973i 0.145859 0.319387i
\(169\) −18.3600 + 21.1886i −1.41231 + 1.62989i
\(170\) −0.276392 + 1.92235i −0.0211983 + 0.147437i
\(171\) −2.07373 4.54083i −0.158582 0.347246i
\(172\) 3.49988 + 1.02766i 0.266863 + 0.0783582i
\(173\) 22.6881 + 6.66182i 1.72494 + 0.506489i 0.985924 0.167196i \(-0.0534711\pi\)
0.739019 + 0.673684i \(0.235289\pi\)
\(174\) −2.38287 5.21776i −0.180645 0.395558i
\(175\) 0.647674 4.50467i 0.0489596 0.340521i
\(176\) −3.88836 + 4.48741i −0.293096 + 0.338251i
\(177\) 5.34869 11.7120i 0.402032 0.880328i
\(178\) −2.06903 1.32969i −0.155080 0.0996641i
\(179\) −0.562626 3.91315i −0.0420527 0.292483i −0.999985 0.00548837i \(-0.998253\pi\)
0.957932 0.286994i \(-0.0926561\pi\)
\(180\) −0.841254 + 0.540641i −0.0627033 + 0.0402970i
\(181\) 4.80735 + 5.54797i 0.357327 + 0.412378i 0.905742 0.423829i \(-0.139314\pi\)
−0.548415 + 0.836206i \(0.684769\pi\)
\(182\) −27.9726 + 8.21351i −2.07347 + 0.608826i
\(183\) 11.9137 0.880686
\(184\) −4.14352 + 2.41480i −0.305464 + 0.178022i
\(185\) 4.30217 0.316302
\(186\) −2.86003 + 0.839782i −0.209708 + 0.0615758i
\(187\) −7.55164 8.71506i −0.552231 0.637308i
\(188\) 6.46854 4.15708i 0.471767 0.303186i
\(189\) 0.647674 + 4.50467i 0.0471114 + 0.327667i
\(190\) −4.19949 2.69885i −0.304663 0.195795i
\(191\) −1.49763 + 3.27935i −0.108365 + 0.237286i −0.956044 0.293224i \(-0.905272\pi\)
0.847679 + 0.530509i \(0.177999\pi\)
\(192\) −0.654861 + 0.755750i −0.0472605 + 0.0545415i
\(193\) −2.19477 + 15.2650i −0.157983 + 1.09880i 0.744360 + 0.667779i \(0.232755\pi\)
−0.902343 + 0.431019i \(0.858154\pi\)
\(194\) 3.34638 + 7.32755i 0.240256 + 0.526088i
\(195\) 6.14649 + 1.80477i 0.440159 + 0.129242i
\(196\) −13.1561 3.86299i −0.939725 0.275928i
\(197\) −4.57369 10.0150i −0.325862 0.713538i 0.673817 0.738899i \(-0.264654\pi\)
−0.999678 + 0.0253608i \(0.991927\pi\)
\(198\) 0.845021 5.87725i 0.0600531 0.417678i
\(199\) 6.00922 6.93501i 0.425982 0.491610i −0.501668 0.865060i \(-0.667280\pi\)
0.927650 + 0.373451i \(0.121826\pi\)
\(200\) −0.415415 + 0.909632i −0.0293743 + 0.0643207i
\(201\) −8.43763 5.42253i −0.595144 0.382476i
\(202\) −1.80977 12.5872i −0.127335 0.885635i
\(203\) −21.9610 + 14.1135i −1.54136 + 0.990572i
\(204\) −1.27181 1.46775i −0.0890448 0.102763i
\(205\) −1.63231 + 0.479289i −0.114005 + 0.0334750i
\(206\) −12.4135 −0.864887
\(207\) 2.18021 4.27162i 0.151535 0.296898i
\(208\) 6.40597 0.444174
\(209\) 28.4399 8.35072i 1.96723 0.577631i
\(210\) 2.98027 + 3.43941i 0.205658 + 0.237342i
\(211\) −0.826227 + 0.530984i −0.0568798 + 0.0365544i −0.568772 0.822495i \(-0.692581\pi\)
0.511892 + 0.859050i \(0.328945\pi\)
\(212\) −1.11023 7.72180i −0.0762507 0.530335i
\(213\) 3.48522 + 2.23981i 0.238803 + 0.153470i
\(214\) 2.94447 6.44749i 0.201280 0.440742i
\(215\) −2.38869 + 2.75670i −0.162908 + 0.188005i
\(216\) 0.142315 0.989821i 0.00968330 0.0673488i
\(217\) 5.63531 + 12.3396i 0.382550 + 0.837668i
\(218\) −6.28799 1.84632i −0.425876 0.125049i
\(219\) 5.40503 + 1.58706i 0.365238 + 0.107244i
\(220\) −2.46661 5.40111i −0.166299 0.364143i
\(221\) −1.77056 + 12.3145i −0.119101 + 0.828363i
\(222\) −2.81732 + 3.25136i −0.189086 + 0.218217i
\(223\) −11.4278 + 25.0234i −0.765262 + 1.67569i −0.0284486 + 0.999595i \(0.509057\pi\)
−0.736814 + 0.676096i \(0.763671\pi\)
\(224\) 3.82854 + 2.46045i 0.255805 + 0.164396i
\(225\) −0.142315 0.989821i −0.00948766 0.0659881i
\(226\) −14.1203 + 9.07456i −0.939268 + 0.603631i
\(227\) 19.0681 + 22.0057i 1.26559 + 1.46057i 0.827321 + 0.561729i \(0.189864\pi\)
0.438272 + 0.898843i \(0.355591\pi\)
\(228\) 4.78973 1.40639i 0.317208 0.0931406i
\(229\) −13.3632 −0.883062 −0.441531 0.897246i \(-0.645564\pi\)
−0.441531 + 0.897246i \(0.645564\pi\)
\(230\) −0.475303 4.77222i −0.0313405 0.314671i
\(231\) −27.0224 −1.77794
\(232\) 5.50377 1.61605i 0.361340 0.106099i
\(233\) 7.67165 + 8.85356i 0.502587 + 0.580016i 0.949185 0.314719i \(-0.101910\pi\)
−0.446598 + 0.894735i \(0.647365\pi\)
\(234\) −5.38905 + 3.46333i −0.352293 + 0.226405i
\(235\) 1.09428 + 7.61091i 0.0713832 + 0.496481i
\(236\) 10.8316 + 6.96104i 0.705076 + 0.453125i
\(237\) 2.82179 6.17886i 0.183295 0.401360i
\(238\) −5.78802 + 6.67973i −0.375182 + 0.432983i
\(239\) −0.431374 + 3.00027i −0.0279033 + 0.194071i −0.999005 0.0445936i \(-0.985801\pi\)
0.971102 + 0.238665i \(0.0767098\pi\)
\(240\) −0.415415 0.909632i −0.0268149 0.0587165i
\(241\) −1.73094 0.508249i −0.111499 0.0327392i 0.225507 0.974242i \(-0.427596\pi\)
−0.337006 + 0.941502i \(0.609414\pi\)
\(242\) 23.2736 + 6.83375i 1.49608 + 0.439290i
\(243\) 0.415415 + 0.909632i 0.0266489 + 0.0583529i
\(244\) −1.69550 + 11.7924i −0.108543 + 0.754933i
\(245\) 8.97916 10.3625i 0.573658 0.662036i
\(246\) 0.706713 1.54748i 0.0450583 0.0986640i
\(247\) −26.9018 17.2887i −1.71172 1.10006i
\(248\) −0.424209 2.95044i −0.0269373 0.187353i
\(249\) −6.32337 + 4.06378i −0.400727 + 0.257532i
\(250\) −0.654861 0.755750i −0.0414170 0.0477978i
\(251\) −0.569867 + 0.167328i −0.0359697 + 0.0105616i −0.299668 0.954044i \(-0.596876\pi\)
0.263698 + 0.964605i \(0.415058\pi\)
\(252\) −4.55100 −0.286686
\(253\) 23.2630 + 16.4232i 1.46253 + 1.03252i
\(254\) 4.98464 0.312764
\(255\) 1.86345 0.547157i 0.116693 0.0342643i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) 23.5728 15.1493i 1.47043 0.944990i 0.472460 0.881352i \(-0.343366\pi\)
0.997973 0.0636382i \(-0.0202704\pi\)
\(258\) −0.519113 3.61051i −0.0323185 0.224780i
\(259\) 16.4710 + 10.5853i 1.02346 + 0.657738i
\(260\) −2.66114 + 5.82708i −0.165037 + 0.361380i
\(261\) −3.75636 + 4.33507i −0.232513 + 0.268334i
\(262\) −0.557451 + 3.87715i −0.0344394 + 0.239531i
\(263\) 5.13078 + 11.2348i 0.316377 + 0.692770i 0.999288 0.0377322i \(-0.0120134\pi\)
−0.682911 + 0.730502i \(0.739286\pi\)
\(264\) 5.69717 + 1.67284i 0.350637 + 0.102956i
\(265\) 7.48520 + 2.19785i 0.459812 + 0.135013i
\(266\) −9.43752 20.6653i −0.578652 1.26707i
\(267\) −0.350018 + 2.43443i −0.0214207 + 0.148985i
\(268\) 6.56814 7.58004i 0.401213 0.463024i
\(269\) 4.60590 10.0855i 0.280827 0.614925i −0.715681 0.698427i \(-0.753883\pi\)
0.996508 + 0.0835028i \(0.0266107\pi\)
\(270\) 0.841254 + 0.540641i 0.0511971 + 0.0329024i
\(271\) 3.10224 + 21.5765i 0.188448 + 1.31068i 0.836029 + 0.548685i \(0.184872\pi\)
−0.647581 + 0.761996i \(0.724219\pi\)
\(272\) 1.63381 1.04999i 0.0990643 0.0636648i
\(273\) 19.0915 + 22.0328i 1.15547 + 1.33349i
\(274\) −1.37227 + 0.402935i −0.0829018 + 0.0243422i
\(275\) 5.93769 0.358056
\(276\) 3.91786 + 2.76593i 0.235828 + 0.166489i
\(277\) 1.59642 0.0959196 0.0479598 0.998849i \(-0.484728\pi\)
0.0479598 + 0.998849i \(0.484728\pi\)
\(278\) 6.36404 1.86865i 0.381690 0.112074i
\(279\) 1.95199 + 2.25272i 0.116863 + 0.134867i
\(280\) −3.82854 + 2.46045i −0.228799 + 0.147040i
\(281\) 0.921450 + 6.40882i 0.0549691 + 0.382318i 0.998672 + 0.0515236i \(0.0164077\pi\)
−0.943703 + 0.330795i \(0.892683\pi\)
\(282\) −6.46854 4.15708i −0.385196 0.247551i
\(283\) 8.13464 17.8124i 0.483554 1.05884i −0.497917 0.867225i \(-0.665902\pi\)
0.981471 0.191611i \(-0.0613711\pi\)
\(284\) −2.71301 + 3.13099i −0.160988 + 0.185790i
\(285\) −0.710427 + 4.94113i −0.0420821 + 0.292687i
\(286\) −15.8010 34.5994i −0.934333 2.04590i
\(287\) −7.42863 2.18124i −0.438498 0.128755i
\(288\) 0.959493 + 0.281733i 0.0565387 + 0.0166013i
\(289\) −5.49519 12.0328i −0.323246 0.707811i
\(290\) −0.816336 + 5.67774i −0.0479369 + 0.333408i
\(291\) 5.27524 6.08795i 0.309240 0.356882i
\(292\) −2.34012 + 5.12415i −0.136945 + 0.299868i
\(293\) −4.65107 2.98906i −0.271719 0.174623i 0.397685 0.917522i \(-0.369814\pi\)
−0.669403 + 0.742899i \(0.733450\pi\)
\(294\) 1.95136 + 13.5720i 0.113806 + 0.791535i
\(295\) −10.8316 + 6.96104i −0.630640 + 0.405287i
\(296\) −2.81732 3.25136i −0.163753 0.188982i
\(297\) −5.69717 + 1.67284i −0.330583 + 0.0970680i
\(298\) 0.993509 0.0575524
\(299\) −3.04478 30.5707i −0.176084 1.76795i
\(300\) 1.00000 0.0577350
\(301\) −15.9279 + 4.67686i −0.918071 + 0.269570i
\(302\) 2.02860 + 2.34113i 0.116733 + 0.134717i
\(303\) −10.6979 + 6.87515i −0.614581 + 0.394967i
\(304\) 0.710427 + 4.94113i 0.0407458 + 0.283393i
\(305\) −10.0224 6.44103i −0.573883 0.368812i
\(306\) −0.806784 + 1.76661i −0.0461208 + 0.100990i
\(307\) −4.83611 + 5.58117i −0.276011 + 0.318534i −0.876783 0.480887i \(-0.840315\pi\)
0.600771 + 0.799421i \(0.294860\pi\)
\(308\) 3.84569 26.7473i 0.219128 1.52407i
\(309\) 5.15674 + 11.2917i 0.293357 + 0.642362i
\(310\) 2.86003 + 0.839782i 0.162439 + 0.0476964i
\(311\) −19.2911 5.66437i −1.09390 0.321197i −0.315472 0.948935i \(-0.602163\pi\)
−0.778425 + 0.627738i \(0.783981\pi\)
\(312\) −2.66114 5.82708i −0.150657 0.329893i
\(313\) 1.61337 11.2212i 0.0911931 0.634262i −0.892047 0.451944i \(-0.850731\pi\)
0.983240 0.182318i \(-0.0583601\pi\)
\(314\) 12.9096 14.8984i 0.728529 0.840767i
\(315\) 1.89055 4.13973i 0.106521 0.233247i
\(316\) 5.71439 + 3.67242i 0.321460 + 0.206589i
\(317\) 0.943543 + 6.56248i 0.0529946 + 0.368586i 0.999011 + 0.0444665i \(0.0141588\pi\)
−0.946016 + 0.324119i \(0.894932\pi\)
\(318\) −6.56279 + 4.21765i −0.368023 + 0.236514i
\(319\) −22.3041 25.7403i −1.24879 1.44118i
\(320\) 0.959493 0.281733i 0.0536373 0.0157493i
\(321\) −7.08802 −0.395615
\(322\) 9.92211 19.4401i 0.552938 1.08335i
\(323\) −9.69492 −0.539440
\(324\) −0.959493 + 0.281733i −0.0533052 + 0.0156518i
\(325\) −4.19502 4.84131i −0.232698 0.268548i
\(326\) 0.941792 0.605253i 0.0521611 0.0335219i
\(327\) 0.932653 + 6.48674i 0.0515758 + 0.358718i
\(328\) 1.43116 + 0.919749i 0.0790225 + 0.0507847i
\(329\) −14.5368 + 31.8311i −0.801438 + 1.75491i
\(330\) −3.88836 + 4.48741i −0.214047 + 0.247024i
\(331\) 3.73700 25.9914i 0.205404 1.42862i −0.582507 0.812826i \(-0.697928\pi\)
0.787911 0.615789i \(-0.211163\pi\)
\(332\) −3.12251 6.83734i −0.171370 0.375248i
\(333\) 4.12790 + 1.21206i 0.226208 + 0.0664205i
\(334\) 2.00669 + 0.589216i 0.109801 + 0.0322405i
\(335\) 4.16654 + 9.12345i 0.227642 + 0.498467i
\(336\) 0.647674 4.50467i 0.0353335 0.245750i
\(337\) −21.7500 + 25.1008i −1.18480 + 1.36733i −0.270279 + 0.962782i \(0.587116\pi\)
−0.914518 + 0.404546i \(0.867430\pi\)
\(338\) −11.6468 + 25.5029i −0.633502 + 1.38718i
\(339\) 14.1203 + 9.07456i 0.766909 + 0.492863i
\(340\) 0.276392 + 1.92235i 0.0149894 + 0.104254i
\(341\) −14.8893 + 9.56876i −0.806300 + 0.518178i
\(342\) −3.26903 3.77266i −0.176769 0.204002i
\(343\) 29.3070 8.60531i 1.58243 0.464643i
\(344\) 3.64764 0.196667
\(345\) −4.14352 + 2.41480i −0.223079 + 0.130009i
\(346\) 23.6459 1.27121
\(347\) −4.35767 + 1.27953i −0.233932 + 0.0686887i −0.396597 0.917993i \(-0.629809\pi\)
0.162665 + 0.986681i \(0.447991\pi\)
\(348\) −3.75636 4.33507i −0.201362 0.232384i
\(349\) 19.6961 12.6579i 1.05431 0.677563i 0.105823 0.994385i \(-0.466252\pi\)
0.948485 + 0.316822i \(0.102616\pi\)
\(350\) −0.647674 4.50467i −0.0346196 0.240785i
\(351\) 5.38905 + 3.46333i 0.287646 + 0.184859i
\(352\) −2.46661 + 5.40111i −0.131471 + 0.287880i
\(353\) −17.2619 + 19.9213i −0.918757 + 1.06030i 0.0792282 + 0.996857i \(0.474754\pi\)
−0.997985 + 0.0634457i \(0.979791\pi\)
\(354\) 1.83238 12.7445i 0.0973899 0.677362i
\(355\) −1.72102 3.76850i −0.0913421 0.200011i
\(356\) −2.35984 0.692910i −0.125071 0.0367242i
\(357\) 8.48053 + 2.49011i 0.448837 + 0.131791i
\(358\) −1.64230 3.59613i −0.0867982 0.190061i
\(359\) 0.301256 2.09528i 0.0158997 0.110585i −0.980326 0.197385i \(-0.936755\pi\)
0.996226 + 0.0868003i \(0.0276642\pi\)
\(360\) −0.654861 + 0.755750i −0.0345142 + 0.0398315i
\(361\) 2.45904 5.38454i 0.129423 0.283397i
\(362\) 6.17566 + 3.96885i 0.324585 + 0.208598i
\(363\) −3.45201 24.0093i −0.181184 1.26016i
\(364\) −24.5255 + 15.7616i −1.28549 + 0.826133i
\(365\) −3.68897 4.25730i −0.193090 0.222837i
\(366\) 11.4311 3.35648i 0.597513 0.175446i
\(367\) 30.7746 1.60642 0.803210 0.595696i \(-0.203124\pi\)
0.803210 + 0.595696i \(0.203124\pi\)
\(368\) −3.29535 + 3.48435i −0.171782 + 0.181634i
\(369\) −1.70122 −0.0885620
\(370\) 4.12790 1.21206i 0.214599 0.0630120i
\(371\) 23.2497 + 26.8316i 1.20706 + 1.39303i
\(372\) −2.50759 + 1.61153i −0.130012 + 0.0835539i
\(373\) 3.22322 + 22.4180i 0.166892 + 1.16076i 0.885260 + 0.465096i \(0.153980\pi\)
−0.718368 + 0.695663i \(0.755111\pi\)
\(374\) −9.70106 6.23449i −0.501630 0.322378i
\(375\) −0.415415 + 0.909632i −0.0214519 + 0.0469732i
\(376\) 5.03534 5.81109i 0.259678 0.299684i
\(377\) −5.22943 + 36.3715i −0.269329 + 1.87323i
\(378\) 1.89055 + 4.13973i 0.0972395 + 0.212925i
\(379\) 9.35445 + 2.74672i 0.480506 + 0.141089i 0.513011 0.858382i \(-0.328530\pi\)
−0.0325045 + 0.999472i \(0.510348\pi\)
\(380\) −4.78973 1.40639i −0.245708 0.0721464i
\(381\) −2.07069 4.53419i −0.106085 0.232293i
\(382\) −0.513065 + 3.56845i −0.0262507 + 0.182578i
\(383\) 22.5092 25.9770i 1.15017 1.32736i 0.213582 0.976925i \(-0.431487\pi\)
0.936585 0.350439i \(-0.113968\pi\)
\(384\) −0.415415 + 0.909632i −0.0211991 + 0.0464195i
\(385\) 22.7327 + 14.6094i 1.15857 + 0.744565i
\(386\) 2.19477 + 15.2650i 0.111711 + 0.776967i
\(387\) −3.06859 + 1.97206i −0.155985 + 0.100245i
\(388\) 5.27524 + 6.08795i 0.267810 + 0.309069i
\(389\) 10.0861 2.96156i 0.511388 0.150157i −0.0158505 0.999874i \(-0.505046\pi\)
0.527239 + 0.849717i \(0.323227\pi\)
\(390\) 6.40597 0.324379
\(391\) −5.78732 7.29784i −0.292677 0.369068i
\(392\) −13.7116 −0.692538
\(393\) 3.75836 1.10355i 0.189584 0.0556669i
\(394\) −7.20997 8.32075i −0.363233 0.419193i
\(395\) −5.71439 + 3.67242i −0.287522 + 0.184779i
\(396\) −0.845021 5.87725i −0.0424639 0.295343i
\(397\) 13.4419 + 8.63856i 0.674628 + 0.433557i 0.832591 0.553888i \(-0.186856\pi\)
−0.157963 + 0.987445i \(0.550493\pi\)
\(398\) 3.81198 8.34708i 0.191078 0.418401i
\(399\) −14.8773 + 17.1693i −0.744798 + 0.859542i
\(400\) −0.142315 + 0.989821i −0.00711574 + 0.0494911i
\(401\) 8.96039 + 19.6205i 0.447461 + 0.979802i 0.990168 + 0.139881i \(0.0446719\pi\)
−0.542708 + 0.839922i \(0.682601\pi\)
\(402\) −9.62355 2.82573i −0.479979 0.140935i
\(403\) 18.3213 + 5.37962i 0.912649 + 0.267978i
\(404\) −5.28270 11.5675i −0.262824 0.575504i
\(405\) 0.142315 0.989821i 0.00707168 0.0491846i
\(406\) −17.0952 + 19.7289i −0.848420 + 0.979129i
\(407\) −10.6118 + 23.2365i −0.526005 + 1.15179i
\(408\) −1.63381 1.04999i −0.0808857 0.0519821i
\(409\) −4.09235 28.4629i −0.202354 1.40740i −0.797275 0.603616i \(-0.793726\pi\)
0.594921 0.803784i \(-0.297183\pi\)
\(410\) −1.43116 + 0.919749i −0.0706798 + 0.0454232i
\(411\) 0.936583 + 1.08087i 0.0461983 + 0.0533156i
\(412\) −11.9106 + 3.49728i −0.586795 + 0.172299i
\(413\) −58.5965 −2.88335
\(414\) 0.888440 4.71282i 0.0436644 0.231622i
\(415\) 7.51660 0.368976
\(416\) 6.14649 1.80477i 0.301356 0.0884862i
\(417\) −4.34350 5.01267i −0.212702 0.245471i
\(418\) 24.9353 16.0249i 1.21962 0.783804i
\(419\) 1.50850 + 10.4919i 0.0736951 + 0.512561i 0.992916 + 0.118818i \(0.0379106\pi\)
−0.919221 + 0.393742i \(0.871180\pi\)
\(420\) 3.82854 + 2.46045i 0.186814 + 0.120058i
\(421\) −7.53415 + 16.4975i −0.367192 + 0.804038i 0.632377 + 0.774661i \(0.282080\pi\)
−0.999568 + 0.0293769i \(0.990648\pi\)
\(422\) −0.643164 + 0.742251i −0.0313087 + 0.0361322i
\(423\) −1.09428 + 7.61091i −0.0532059 + 0.370055i
\(424\) −3.24074 7.09623i −0.157384 0.344623i
\(425\) −1.86345 0.547157i −0.0903904 0.0265410i
\(426\) 3.97507 + 1.16719i 0.192593 + 0.0565504i
\(427\) −22.5235 49.3195i −1.08999 2.38674i
\(428\) 1.00873 7.01588i 0.0487589 0.339125i
\(429\) −24.9087 + 28.7462i −1.20260 + 1.38788i
\(430\) −1.51528 + 3.31801i −0.0730734 + 0.160008i
\(431\) 19.6177 + 12.6075i 0.944951 + 0.607283i 0.919795 0.392400i \(-0.128355\pi\)
0.0251565 + 0.999684i \(0.491992\pi\)
\(432\) −0.142315 0.989821i −0.00684713 0.0476228i
\(433\) 34.0821 21.9033i 1.63788 1.05260i 0.695252 0.718766i \(-0.255293\pi\)
0.942631 0.333837i \(-0.108344\pi\)
\(434\) 8.88351 + 10.2521i 0.426422 + 0.492118i
\(435\) 5.50377 1.61605i 0.263886 0.0774838i
\(436\) −6.55345 −0.313853
\(437\) 23.2425 5.73885i 1.11184 0.274526i
\(438\) 5.63322 0.269166
\(439\) −17.1899 + 5.04740i −0.820428 + 0.240899i −0.664900 0.746932i \(-0.731526\pi\)
−0.155528 + 0.987832i \(0.549708\pi\)
\(440\) −3.88836 4.48741i −0.185370 0.213929i
\(441\) 11.5349 7.41303i 0.549281 0.353001i
\(442\) 1.77056 + 12.3145i 0.0842169 + 0.585741i
\(443\) −1.65428 1.06314i −0.0785970 0.0505112i 0.500752 0.865591i \(-0.333057\pi\)
−0.579349 + 0.815080i \(0.696693\pi\)
\(444\) −1.78719 + 3.91339i −0.0848161 + 0.185721i
\(445\) 1.61061 1.85874i 0.0763500 0.0881126i
\(446\) −3.91499 + 27.2294i −0.185380 + 1.28935i
\(447\) −0.412719 0.903728i −0.0195209 0.0427449i
\(448\) 4.36665 + 1.28216i 0.206305 + 0.0605765i
\(449\) −39.0169 11.4564i −1.84132 0.540660i −1.00000 0.000122726i \(-0.999961\pi\)
−0.841320 0.540538i \(-0.818221\pi\)
\(450\) −0.415415 0.909632i −0.0195829 0.0428805i
\(451\) 1.43757 9.99850i 0.0676924 0.470811i
\(452\) −10.9917 + 12.6851i −0.517007 + 0.596658i
\(453\) 1.28686 2.81783i 0.0604619 0.132393i
\(454\) 24.4954 + 15.7422i 1.14963 + 0.738820i
\(455\) −4.14898 28.8568i −0.194507 1.35283i
\(456\) 4.19949 2.69885i 0.196659 0.126385i
\(457\) 21.1225 + 24.3766i 0.988067 + 1.14029i 0.990110 + 0.140293i \(0.0448044\pi\)
−0.00204265 + 0.999998i \(0.500650\pi\)
\(458\) −12.8218 + 3.76483i −0.599126 + 0.175919i
\(459\) 1.94211 0.0906502
\(460\) −1.80054 4.44500i −0.0839506 0.207249i
\(461\) −3.75318 −0.174803 −0.0874016 0.996173i \(-0.527856\pi\)
−0.0874016 + 0.996173i \(0.527856\pi\)
\(462\) −25.9278 + 7.61309i −1.20627 + 0.354193i
\(463\) 5.21854 + 6.02252i 0.242526 + 0.279890i 0.863943 0.503590i \(-0.167988\pi\)
−0.621416 + 0.783480i \(0.713442\pi\)
\(464\) 4.82554 3.10118i 0.224020 0.143969i
\(465\) −0.424209 2.95044i −0.0196722 0.136823i
\(466\) 9.85523 + 6.33357i 0.456535 + 0.293397i
\(467\) 2.07108 4.53503i 0.0958382 0.209856i −0.855641 0.517570i \(-0.826837\pi\)
0.951479 + 0.307714i \(0.0995639\pi\)
\(468\) −4.19502 + 4.84131i −0.193915 + 0.223790i
\(469\) −6.49606 + 45.1811i −0.299960 + 2.08627i
\(470\) 3.19420 + 6.99432i 0.147337 + 0.322624i
\(471\) −18.9149 5.55392i −0.871554 0.255911i
\(472\) 12.3540 + 3.62746i 0.568638 + 0.166967i
\(473\) −8.99728 19.7013i −0.413695 0.905866i
\(474\) 0.966703 6.72357i 0.0444021 0.308824i
\(475\) 3.26903 3.77266i 0.149993 0.173101i
\(476\) −3.67167 + 8.03983i −0.168291 + 0.368505i
\(477\) 6.56279 + 4.21765i 0.300490 + 0.193113i
\(478\) 0.431374 + 3.00027i 0.0197306 + 0.137229i
\(479\) −3.98716 + 2.56239i −0.182178 + 0.117079i −0.628551 0.777768i \(-0.716352\pi\)
0.446373 + 0.894847i \(0.352715\pi\)
\(480\) −0.654861 0.755750i −0.0298902 0.0344951i
\(481\) 26.4432 7.76443i 1.20571 0.354028i
\(482\) −1.80401 −0.0821705
\(483\) −21.8051 0.949760i −0.992168 0.0432156i
\(484\) 24.2562 1.10255
\(485\) −7.72921 + 2.26950i −0.350965 + 0.103053i
\(486\) 0.654861 + 0.755750i 0.0297051 + 0.0342815i
\(487\) −6.35967 + 4.08711i −0.288184 + 0.185205i −0.676743 0.736219i \(-0.736609\pi\)
0.388559 + 0.921424i \(0.372973\pi\)
\(488\) 1.69550 + 11.7924i 0.0767515 + 0.533818i
\(489\) −0.941792 0.605253i −0.0425893 0.0273705i
\(490\) 5.69599 12.4725i 0.257318 0.563449i
\(491\) −3.18022 + 3.67017i −0.143521 + 0.165633i −0.822959 0.568101i \(-0.807678\pi\)
0.679438 + 0.733733i \(0.262224\pi\)
\(492\) 0.242109 1.68390i 0.0109151 0.0759163i
\(493\) 4.62781 + 10.1335i 0.208426 + 0.456390i
\(494\) −30.6829 9.00931i −1.38049 0.405348i
\(495\) 5.69717 + 1.67284i 0.256069 + 0.0751886i
\(496\) −1.23826 2.71141i −0.0555995 0.121746i
\(497\) 2.68324 18.6624i 0.120360 0.837121i
\(498\) −4.92233 + 5.68067i −0.220575 + 0.254557i
\(499\) 10.3140 22.5845i 0.461719 1.01102i −0.525374 0.850872i \(-0.676075\pi\)
0.987092 0.160151i \(-0.0511982\pi\)
\(500\) −0.841254 0.540641i −0.0376220 0.0241782i
\(501\) −0.297638 2.07011i −0.0132975 0.0924859i
\(502\) −0.499641 + 0.321100i −0.0223001 + 0.0143314i
\(503\) 9.78571 + 11.2933i 0.436323 + 0.503544i 0.930740 0.365681i \(-0.119164\pi\)
−0.494417 + 0.869225i \(0.664618\pi\)
\(504\) −4.36665 + 1.28216i −0.194506 + 0.0571121i
\(505\) 12.7167 0.565884
\(506\) 26.9477 + 9.20402i 1.19797 + 0.409169i
\(507\) 28.0365 1.24514
\(508\) 4.78273 1.40433i 0.212199 0.0623073i
\(509\) −18.8341 21.7357i −0.834807 0.963419i 0.164931 0.986305i \(-0.447260\pi\)
−0.999738 + 0.0228861i \(0.992714\pi\)
\(510\) 1.63381 1.04999i 0.0723464 0.0464942i
\(511\) −3.64849 25.3758i −0.161400 1.12256i
\(512\) −0.841254 0.540641i −0.0371785 0.0238932i
\(513\) −2.07373 + 4.54083i −0.0915573 + 0.200483i
\(514\) 18.3499 21.1769i 0.809380 0.934074i
\(515\) 1.76662 12.2871i 0.0778466 0.541435i
\(516\) −1.51528 3.31801i −0.0667066 0.146067i
\(517\) −43.8065 12.8628i −1.92661 0.565703i
\(518\) 18.7861 + 5.51608i 0.825412 + 0.242363i
\(519\) −9.82286 21.5091i −0.431176 0.944143i
\(520\) −0.911665 + 6.34077i −0.0399792 + 0.278061i
\(521\) 8.70916 10.0509i 0.381555 0.440338i −0.532190 0.846625i \(-0.678631\pi\)
0.913746 + 0.406286i \(0.133176\pi\)
\(522\) −2.38287 + 5.21776i −0.104296 + 0.228375i
\(523\) 23.3930 + 15.0338i 1.02290 + 0.657381i 0.940702 0.339235i \(-0.110168\pi\)
0.0822030 + 0.996616i \(0.473804\pi\)
\(524\) 0.557451 + 3.87715i 0.0243523 + 0.169374i
\(525\) −3.82854 + 2.46045i −0.167091 + 0.107383i
\(526\) 8.08817 + 9.33424i 0.352661 + 0.406992i
\(527\) 5.55452 1.63095i 0.241958 0.0710454i
\(528\) 5.93769 0.258405
\(529\) 18.1944 + 14.0700i 0.791060 + 0.611739i
\(530\) 7.80120 0.338863
\(531\) −12.3540 + 3.62746i −0.536117 + 0.157418i
\(532\) −14.8773 17.1693i −0.645014 0.744385i
\(533\) −9.16796 + 5.89189i −0.397108 + 0.255206i
\(534\) 0.350018 + 2.43443i 0.0151468 + 0.105348i
\(535\) 5.96283 + 3.83208i 0.257795 + 0.165675i
\(536\) 4.16654 9.12345i 0.179967 0.394073i
\(537\) −2.58892 + 2.98777i −0.111720 + 0.128932i
\(538\) 1.57791 10.9746i 0.0680286 0.473149i
\(539\) 33.8210 + 74.0577i 1.45677 + 3.18989i
\(540\) 0.959493 + 0.281733i 0.0412900 + 0.0121238i
\(541\) 12.6101 + 3.70265i 0.542150 + 0.159190i 0.541330 0.840810i \(-0.317921\pi\)
0.000819644 1.00000i \(0.499739\pi\)
\(542\) 9.05539 + 19.8285i 0.388962 + 0.851709i
\(543\) 1.04474 7.26630i 0.0448339 0.311827i
\(544\) 1.27181 1.46775i 0.0545286 0.0629294i
\(545\) 2.72240 5.96123i 0.116615 0.255351i
\(546\) 24.5255 + 15.7616i 1.04960 + 0.674534i
\(547\) 3.08035 + 21.4243i 0.131706 + 0.916036i 0.943330 + 0.331856i \(0.107675\pi\)
−0.811624 + 0.584180i \(0.801416\pi\)
\(548\) −1.20316 + 0.773226i −0.0513966 + 0.0330306i
\(549\) −7.80181 9.00377i −0.332973 0.384272i
\(550\) 5.69717 1.67284i 0.242928 0.0713302i
\(551\) −28.6344 −1.21987
\(552\) 4.53841 + 1.55010i 0.193168 + 0.0659767i
\(553\) −30.9136 −1.31458
\(554\) 1.53175 0.449764i 0.0650780 0.0191086i
\(555\) −2.81732 3.25136i −0.119589 0.138013i
\(556\) 5.57979 3.58591i 0.236636 0.152077i
\(557\) −1.83833 12.7859i −0.0778927 0.541756i −0.990982 0.133996i \(-0.957219\pi\)
0.913089 0.407760i \(-0.133690\pi\)
\(558\) 2.50759 + 1.61153i 0.106155 + 0.0682215i
\(559\) −9.70686 + 21.2551i −0.410556 + 0.898993i
\(560\) −2.98027 + 3.43941i −0.125939 + 0.145342i
\(561\) −1.64113 + 11.4143i −0.0692885 + 0.481912i
\(562\) 2.68970 + 5.88962i 0.113458 + 0.248439i
\(563\) −36.7370 10.7870i −1.54828 0.454616i −0.607694 0.794172i \(-0.707905\pi\)
−0.940586 + 0.339556i \(0.889723\pi\)
\(564\) −7.37771 2.16629i −0.310657 0.0912173i
\(565\) −6.97267 15.2680i −0.293342 0.642330i
\(566\) 2.78680 19.3826i 0.117138 0.814713i
\(567\) 2.98027 3.43941i 0.125159 0.144442i
\(568\) −1.72102 + 3.76850i −0.0722123 + 0.158123i
\(569\) 3.08480 + 1.98248i 0.129322 + 0.0831099i 0.603702 0.797210i \(-0.293692\pi\)
−0.474381 + 0.880320i \(0.657328\pi\)
\(570\) 0.710427 + 4.94113i 0.0297565 + 0.206961i
\(571\) 32.5487 20.9178i 1.36212 0.875382i 0.363697 0.931517i \(-0.381514\pi\)
0.998423 + 0.0561355i \(0.0178779\pi\)
\(572\) −24.9087 28.7462i −1.04149 1.20194i
\(573\) 3.45911 1.01569i 0.144506 0.0424309i
\(574\) −7.74225 −0.323155
\(575\) 4.79129 + 0.208693i 0.199811 + 0.00870309i
\(576\) 1.00000 0.0416667
\(577\) −6.87781 + 2.01951i −0.286327 + 0.0840732i −0.421742 0.906716i \(-0.638581\pi\)
0.135415 + 0.990789i \(0.456763\pi\)
\(578\) −8.66262 9.99720i −0.360318 0.415829i
\(579\) 12.9738 8.33774i 0.539172 0.346505i
\(580\) 0.816336 + 5.67774i 0.0338965 + 0.235755i
\(581\) 28.7776 + 18.4943i 1.19390 + 0.767271i
\(582\) 3.34638 7.32755i 0.138712 0.303737i
\(583\) −30.3339 + 35.0072i −1.25630 + 1.44985i
\(584\) −0.801690 + 5.57588i −0.0331742 + 0.230732i
\(585\) −2.66114 5.82708i −0.110025 0.240920i
\(586\) −5.30479 1.55763i −0.219139 0.0643450i
\(587\) 18.8936 + 5.54766i 0.779822 + 0.228976i 0.647332 0.762208i \(-0.275885\pi\)
0.132490 + 0.991184i \(0.457703\pi\)
\(588\) 5.69599 + 12.4725i 0.234899 + 0.514356i
\(589\) −2.11763 + 14.7284i −0.0872552 + 0.606873i
\(590\) −8.43168 + 9.73068i −0.347127 + 0.400606i
\(591\) −4.57369 + 10.0150i −0.188136 + 0.411961i
\(592\) −3.61921 2.32593i −0.148749 0.0955950i
\(593\) −3.26656 22.7195i −0.134142 0.932976i −0.940075 0.340969i \(-0.889245\pi\)
0.805933 0.592007i \(-0.201664\pi\)
\(594\) −4.99510 + 3.21016i −0.204952 + 0.131714i
\(595\) −5.78802 6.67973i −0.237286 0.273842i
\(596\) 0.953265 0.279904i 0.0390473 0.0114653i
\(597\) −9.17633 −0.375562
\(598\) −11.5342 28.4746i −0.471669 1.16441i
\(599\) −42.9487 −1.75484 −0.877418 0.479727i \(-0.840736\pi\)
−0.877418 + 0.479727i \(0.840736\pi\)
\(600\) 0.959493 0.281733i 0.0391711 0.0115017i
\(601\) −30.6822 35.4091i −1.25155 1.44437i −0.848504 0.529189i \(-0.822496\pi\)
−0.403048 0.915179i \(-0.632049\pi\)
\(602\) −13.9651 + 8.97484i −0.569176 + 0.365787i
\(603\) 1.42739 + 9.92774i 0.0581279 + 0.404289i
\(604\) 2.60601 + 1.67478i 0.106037 + 0.0681457i
\(605\) −10.0764 + 22.0642i −0.409663 + 0.897036i
\(606\) −8.32765 + 9.61062i −0.338288 + 0.390405i
\(607\) 4.83373 33.6193i 0.196195 1.36457i −0.619005 0.785387i \(-0.712464\pi\)
0.815200 0.579179i \(-0.196627\pi\)
\(608\) 2.07373 + 4.54083i 0.0841007 + 0.184155i
\(609\) 25.0476 + 7.35465i 1.01498 + 0.298025i
\(610\) −11.4311 3.35648i −0.462832 0.135900i
\(611\) 20.4619 + 44.8054i 0.827802 + 1.81263i
\(612\) −0.276392 + 1.92235i −0.0111725 + 0.0777063i
\(613\) −2.99099 + 3.45179i −0.120805 + 0.139416i −0.812930 0.582361i \(-0.802129\pi\)
0.692125 + 0.721777i \(0.256675\pi\)
\(614\) −3.06782 + 6.71758i −0.123807 + 0.271100i
\(615\) 1.43116 + 0.919749i 0.0577099 + 0.0370879i
\(616\) −3.84569 26.7473i −0.154947 1.07768i
\(617\) −1.45844 + 0.937285i −0.0587147 + 0.0377337i −0.569669 0.821874i \(-0.692929\pi\)
0.510954 + 0.859608i \(0.329292\pi\)
\(618\) 8.12909 + 9.38147i 0.327000 + 0.377378i
\(619\) −38.4836 + 11.2998i −1.54679 + 0.454177i −0.940138 0.340793i \(-0.889304\pi\)
−0.606648 + 0.794971i \(0.707486\pi\)
\(620\) 2.98078 0.119711
\(621\) −4.65600 + 1.14962i −0.186839 + 0.0461328i
\(622\) −20.1055 −0.806157
\(623\) 10.7396 3.15343i 0.430273 0.126340i
\(624\) −4.19502 4.84131i −0.167935 0.193808i
\(625\) 0.841254 0.540641i 0.0336501 0.0216256i
\(626\) −1.61337 11.2212i −0.0644832 0.448491i
\(627\) −24.9353 16.0249i −0.995818 0.639973i
\(628\) 8.18927 17.9320i 0.326787 0.715564i
\(629\) 5.47156 6.31452i 0.218165 0.251776i
\(630\) 0.647674 4.50467i 0.0258040 0.179470i
\(631\) 2.89020 + 6.32866i 0.115057 + 0.251940i 0.958396 0.285442i \(-0.0921405\pi\)
−0.843339 + 0.537382i \(0.819413\pi\)
\(632\) 6.51756 + 1.91373i 0.259254 + 0.0761240i
\(633\) 0.942355 + 0.276700i 0.0374552 + 0.0109978i
\(634\) 2.75419 + 6.03083i 0.109383 + 0.239515i
\(635\) −0.709388 + 4.93390i −0.0281512 + 0.195796i
\(636\) −5.10870 + 5.89576i −0.202573 + 0.233782i
\(637\) 36.4883 79.8983i 1.44572 3.16569i
\(638\) −28.6525 18.4139i −1.13436 0.729012i
\(639\) −0.589594 4.10072i −0.0233240 0.162222i
\(640\) 0.841254 0.540641i 0.0332535 0.0213707i
\(641\) −29.2175 33.7188i −1.15402 1.33181i −0.934399 0.356228i \(-0.884063\pi\)
−0.219623 0.975585i \(-0.570483\pi\)
\(642\) −6.80091 + 1.99693i −0.268411 + 0.0788124i
\(643\) −12.3957 −0.488837 −0.244419 0.969670i \(-0.578597\pi\)
−0.244419 + 0.969670i \(0.578597\pi\)
\(644\) 4.04329 21.4480i 0.159328 0.845170i
\(645\) 3.64764 0.143626
\(646\) −9.30221 + 2.73138i −0.365991 + 0.107465i
\(647\) −6.03490 6.96465i −0.237257 0.273809i 0.624618 0.780931i \(-0.285255\pi\)
−0.861874 + 0.507122i \(0.830709\pi\)
\(648\) −0.841254 + 0.540641i −0.0330476 + 0.0212384i
\(649\) −10.8801 75.6728i −0.427081 2.97042i
\(650\) −5.38905 3.46333i −0.211376 0.135843i
\(651\) 5.63531 12.3396i 0.220865 0.483628i
\(652\) 0.733124 0.846070i 0.0287113 0.0331347i
\(653\) 3.82815 26.6254i 0.149807 1.04193i −0.766727 0.641973i \(-0.778116\pi\)
0.916534 0.399957i \(-0.130975\pi\)
\(654\) 2.72240 + 5.96123i 0.106454 + 0.233102i
\(655\) −3.75836 1.10355i −0.146851 0.0431194i
\(656\) 1.63231 + 0.479289i 0.0637310 + 0.0187131i
\(657\) −2.34012 5.12415i −0.0912969 0.199912i
\(658\) −4.98008 + 34.6372i −0.194144 + 1.35030i
\(659\) −9.67453 + 11.1650i −0.376866 + 0.434927i −0.912220 0.409701i \(-0.865633\pi\)
0.535354 + 0.844628i \(0.320178\pi\)
\(660\) −2.46661 + 5.40111i −0.0960125 + 0.210238i
\(661\) 5.31680 + 3.41690i 0.206799 + 0.132902i 0.639941 0.768424i \(-0.278959\pi\)
−0.433142 + 0.901326i \(0.642595\pi\)
\(662\) −3.73700 25.9914i −0.145242 1.01018i
\(663\) 10.4662 6.72619i 0.406472 0.261223i
\(664\) −4.92233 5.68067i −0.191023 0.220453i
\(665\) 21.7980 6.40048i 0.845292 0.248200i
\(666\) 4.30217 0.166706
\(667\) −17.0931 21.5545i −0.661848 0.834594i
\(668\) 2.09140 0.0809188
\(669\) 26.3950 7.75028i 1.02049 0.299643i
\(670\) 6.56814 + 7.58004i 0.253749 + 0.292842i
\(671\) 59.5101 38.2448i 2.29736 1.47643i
\(672\) −0.647674 4.50467i −0.0249846 0.173772i
\(673\) −12.6473 8.12793i −0.487518 0.313309i 0.273689 0.961818i \(-0.411756\pi\)
−0.761206 + 0.648510i \(0.775393\pi\)
\(674\) −13.7972 + 30.2117i −0.531449 + 1.16371i
\(675\) −0.654861 + 0.755750i −0.0252056 + 0.0290888i
\(676\) −3.99001 + 27.7511i −0.153462 + 1.06735i
\(677\) −3.12895 6.85144i −0.120255 0.263322i 0.839926 0.542702i \(-0.182599\pi\)
−0.960181 + 0.279379i \(0.909871\pi\)
\(678\) 16.1049 + 4.72883i 0.618506 + 0.181610i
\(679\) −35.1756 10.3285i −1.34992 0.396371i
\(680\) 0.806784 + 1.76661i 0.0309387 + 0.0677464i
\(681\) 4.14389 28.8214i 0.158794 1.10444i
\(682\) −11.5903 + 13.3760i −0.443817 + 0.512192i
\(683\) 4.24399 9.29305i 0.162392 0.355589i −0.810891 0.585197i \(-0.801017\pi\)
0.973283 + 0.229608i \(0.0737445\pi\)
\(684\) −4.19949 2.69885i −0.160571 0.103193i
\(685\) −0.203539 1.41565i −0.00777683 0.0540890i
\(686\) 25.6955 16.5135i 0.981058 0.630487i
\(687\) 8.75100 + 10.0992i 0.333872 + 0.385308i
\(688\) 3.49988 1.02766i 0.133432 0.0391791i
\(689\) 49.9743 1.90387
\(690\) −3.29535 + 3.48435i −0.125452 + 0.132647i
\(691\) −16.3151 −0.620656 −0.310328 0.950630i \(-0.600439\pi\)
−0.310328 + 0.950630i \(0.600439\pi\)
\(692\) 22.6881 6.66182i 0.862471 0.253244i
\(693\) 17.6959 + 20.4222i 0.672212 + 0.775774i
\(694\) −3.82067 + 2.45540i −0.145031 + 0.0932056i
\(695\) 0.943933 + 6.56520i 0.0358054 + 0.249032i
\(696\) −4.82554 3.10118i −0.182911 0.117550i
\(697\) −1.37252 + 3.00539i −0.0519878 + 0.113837i
\(698\) 15.3321 17.6942i 0.580330 0.669736i
\(699\) 1.66721 11.5957i 0.0630597 0.438590i
\(700\) −1.89055 4.13973i −0.0714561 0.156467i
\(701\) −13.0232 3.82396i −0.491880 0.144429i 0.0263803 0.999652i \(-0.491602\pi\)
−0.518260 + 0.855223i \(0.673420\pi\)
\(702\) 6.14649 + 1.80477i 0.231984 + 0.0681167i
\(703\) 8.92152 + 19.5354i 0.336482 + 0.736792i
\(704\) −0.845021 + 5.87725i −0.0318479 + 0.221507i
\(705\) 5.03534 5.81109i 0.189642 0.218858i
\(706\) −10.9502 + 23.9776i −0.412115 + 0.902407i
\(707\) 48.6863 + 31.2888i 1.83104 + 1.17674i
\(708\) −1.83238 12.7445i −0.0688651 0.478967i
\(709\) 33.4608 21.5039i 1.25665 0.807598i 0.268825 0.963189i \(-0.413365\pi\)
0.987822 + 0.155591i \(0.0497283\pi\)
\(710\) −2.71301 3.13099i −0.101818 0.117504i
\(711\) −6.51756 + 1.91373i −0.244427 + 0.0717704i
\(712\) −2.45946 −0.0921722
\(713\) −12.3509 + 7.19799i −0.462545 + 0.269567i
\(714\) 8.83856 0.330775
\(715\) 36.4959 10.7162i 1.36487 0.400762i
\(716\) −2.58892 2.98777i −0.0967525 0.111658i
\(717\) 2.54994 1.63875i 0.0952294 0.0612002i
\(718\) −0.301256 2.09528i −0.0112428 0.0781951i
\(719\) −33.6430 21.6210i −1.25467 0.806329i −0.267126 0.963662i \(-0.586074\pi\)
−0.987546 + 0.157333i \(0.949710\pi\)
\(720\) −0.415415 + 0.909632i −0.0154816 + 0.0339000i
\(721\) 36.9955 42.6950i 1.37778 1.59005i
\(722\) 0.842429 5.85922i 0.0313520 0.218058i
\(723\) 0.749414 + 1.64099i 0.0278710 + 0.0610290i
\(724\) 7.04366 + 2.06820i 0.261775 + 0.0768642i
\(725\) −5.50377 1.61605i −0.204405 0.0600187i
\(726\) −10.0764 22.0642i −0.373969 0.818878i
\(727\) 5.98687 41.6396i 0.222041 1.54433i −0.508261 0.861203i \(-0.669711\pi\)
0.730302 0.683125i \(-0.239379\pi\)
\(728\) −19.0915 + 22.0328i −0.707579 + 0.816590i
\(729\) 0.415415 0.909632i 0.0153857 0.0336901i
\(730\) −4.73896 3.04555i −0.175397 0.112721i
\(731\) 1.00818 + 7.01202i 0.0372888 + 0.259349i
\(732\) 10.0224 6.44103i 0.370440 0.238067i
\(733\) 27.4166 + 31.6404i 1.01266 + 1.16867i 0.985611 + 0.169032i \(0.0540641\pi\)
0.0270445 + 0.999634i \(0.491390\pi\)
\(734\) 29.5280 8.67020i 1.08990 0.320023i
\(735\) −13.7116 −0.505758
\(736\) −2.18021 + 4.27162i −0.0803635 + 0.157454i
\(737\) −59.5540 −2.19370
\(738\) −1.63231 + 0.479289i −0.0600861 + 0.0176429i
\(739\) −15.6844 18.1007i −0.576959 0.665847i 0.389989 0.920820i \(-0.372479\pi\)
−0.966948 + 0.254973i \(0.917933\pi\)
\(740\) 3.61921 2.32593i 0.133045 0.0855028i
\(741\) 4.55098 + 31.6528i 0.167184 + 1.16279i
\(742\) 29.8672 + 19.1945i 1.09646 + 0.704652i
\(743\) 6.02264 13.1877i 0.220949 0.483811i −0.766402 0.642362i \(-0.777955\pi\)
0.987351 + 0.158550i \(0.0506820\pi\)
\(744\) −1.95199 + 2.25272i −0.0715636 + 0.0825887i
\(745\) −0.141391 + 0.983397i −0.00518017 + 0.0360289i
\(746\) 9.40853 + 20.6018i 0.344471 + 0.754286i
\(747\) 7.21213 + 2.11767i 0.263878 + 0.0774816i
\(748\) −11.0646 3.24885i −0.404560 0.118790i
\(749\) 13.4003 + 29.3425i 0.489635 + 1.07215i
\(750\) −0.142315 + 0.989821i −0.00519660 + 0.0361432i
\(751\) −17.6770 + 20.4003i −0.645042 + 0.744418i −0.980258 0.197723i \(-0.936645\pi\)
0.335216 + 0.942141i \(0.391191\pi\)
\(752\) 3.19420 6.99432i 0.116480 0.255056i
\(753\) 0.499641 + 0.321100i 0.0182079 + 0.0117015i
\(754\) 5.22943 + 36.3715i 0.190444 + 1.32457i
\(755\) −2.60601 + 1.67478i −0.0948422 + 0.0609514i
\(756\) 2.98027 + 3.43941i 0.108391 + 0.125090i
\(757\) 7.44330 2.18555i 0.270532 0.0794352i −0.143653 0.989628i \(-0.545885\pi\)
0.414185 + 0.910193i \(0.364067\pi\)
\(758\) 9.74937 0.354113
\(759\) −2.82220 28.3360i −0.102439 1.02853i
\(760\) −4.99194 −0.181077
\(761\) −15.1912 + 4.46053i −0.550680 + 0.161694i −0.545223 0.838291i \(-0.683555\pi\)
−0.00545672 + 0.999985i \(0.501737\pi\)
\(762\) −3.26424 3.76714i −0.118251 0.136469i
\(763\) 25.0901 16.1245i 0.908324 0.583745i
\(764\) 0.513065 + 3.56845i 0.0185621 + 0.129102i
\(765\) −1.63381 1.04999i −0.0590706 0.0379623i
\(766\) 14.2789 31.2664i 0.515917 1.12970i
\(767\) −54.0131 + 62.3345i −1.95030 + 2.25077i
\(768\) −0.142315 + 0.989821i −0.00513534 + 0.0357171i
\(769\) 11.5480 + 25.2867i 0.416433 + 0.911861i 0.995336 + 0.0964646i \(0.0307535\pi\)
−0.578904 + 0.815396i \(0.696519\pi\)
\(770\) 25.9278 + 7.61309i 0.934373 + 0.274357i
\(771\) −26.8860 7.89445i −0.968277 0.284312i
\(772\) 6.40651 + 14.0283i 0.230575 + 0.504890i
\(773\) −2.78889 + 19.3971i −0.100309 + 0.697667i 0.876162 + 0.482018i \(0.160096\pi\)
−0.976471 + 0.215649i \(0.930813\pi\)