Properties

Label 804.2.bd.a.23.9
Level 804
Weight 2
Character 804.23
Analytic conductor 6.420
Analytic rank 0
Dimension 2640
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 804.bd (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.41997232251\)
Analytic rank: \(0\)
Dimension: \(2640\)
Relative dimension: \(132\) over \(\Q(\zeta_{66})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 23.9
Character \(\chi\) = 804.23
Dual form 804.2.bd.a.35.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39424 - 0.236847i) q^{2} +(1.65796 + 0.501176i) q^{3} +(1.88781 + 0.660444i) q^{4} +(1.24254 - 0.567451i) q^{5} +(-2.19289 - 1.09144i) q^{6} +(2.47543 + 2.59615i) q^{7} +(-2.47563 - 1.36794i) q^{8} +(2.49765 + 1.66186i) q^{9} +O(q^{10})\) \(q+(-1.39424 - 0.236847i) q^{2} +(1.65796 + 0.501176i) q^{3} +(1.88781 + 0.660444i) q^{4} +(1.24254 - 0.567451i) q^{5} +(-2.19289 - 1.09144i) q^{6} +(2.47543 + 2.59615i) q^{7} +(-2.47563 - 1.36794i) q^{8} +(2.49765 + 1.66186i) q^{9} +(-1.86680 + 0.496869i) q^{10} +(4.55967 + 0.435395i) q^{11} +(2.79890 + 2.04111i) q^{12} +(-3.40571 - 0.656397i) q^{13} +(-2.83645 - 4.20596i) q^{14} +(2.34448 - 0.318076i) q^{15} +(3.12763 + 2.49358i) q^{16} +(0.522081 - 1.01270i) q^{17} +(-3.08871 - 2.90859i) q^{18} +(1.53989 - 1.61499i) q^{19} +(2.72045 - 0.250607i) q^{20} +(2.80302 + 5.54493i) q^{21} +(-6.25414 - 1.68699i) q^{22} +(-7.12280 + 2.85154i) q^{23} +(-3.41891 - 3.50871i) q^{24} +(-2.05239 + 2.36858i) q^{25} +(4.59291 + 1.72181i) q^{26} +(3.30811 + 4.00705i) q^{27} +(2.95851 + 6.53591i) q^{28} +(5.69931 + 3.29050i) q^{29} +(-3.34410 - 0.111809i) q^{30} +(-1.80721 - 9.37669i) q^{31} +(-3.77006 - 4.21742i) q^{32} +(7.34152 + 3.00706i) q^{33} +(-0.967759 + 1.28829i) q^{34} +(4.54901 + 1.82115i) q^{35} +(3.61751 + 4.78682i) q^{36} +(-2.75735 - 4.77587i) q^{37} +(-2.52948 + 1.88696i) q^{38} +(-5.31755 - 2.79514i) q^{39} +(-3.85232 - 0.294926i) q^{40} +(-2.80721 + 0.133724i) q^{41} +(-2.59478 - 8.39485i) q^{42} +(-1.26514 - 1.96860i) q^{43} +(8.32021 + 3.83335i) q^{44} +(4.04646 + 0.647638i) q^{45} +(10.6063 - 2.28871i) q^{46} +(-5.51885 - 4.34007i) q^{47} +(3.93575 + 5.70174i) q^{48} +(-0.279199 + 5.86110i) q^{49} +(3.42251 - 2.81627i) q^{50} +(1.37313 - 1.41735i) q^{51} +(-5.99581 - 3.48843i) q^{52} +(-5.38947 + 8.38618i) q^{53} +(-3.66324 - 6.37030i) q^{54} +(5.91265 - 2.04639i) q^{55} +(-2.57686 - 9.81335i) q^{56} +(3.36246 - 1.90583i) q^{57} +(-7.16686 - 5.93761i) q^{58} +(-2.65879 - 3.06841i) q^{59} +(4.63599 + 0.947929i) q^{60} +(-6.02926 + 0.575724i) q^{61} +(0.298837 + 13.5014i) q^{62} +(1.86831 + 10.5981i) q^{63} +(4.25749 + 6.77302i) q^{64} +(-4.60421 + 1.11697i) q^{65} +(-9.52363 - 5.93138i) q^{66} +(-2.62262 + 7.75383i) q^{67} +(1.65442 - 1.56697i) q^{68} +(-13.2384 + 1.15796i) q^{69} +(-5.91108 - 3.61654i) q^{70} +(13.1458 - 6.77715i) q^{71} +(-3.90993 - 7.53077i) q^{72} +(10.5533 - 1.00772i) q^{73} +(2.71325 + 7.31177i) q^{74} +(-4.58985 + 2.89840i) q^{75} +(3.97362 - 2.03178i) q^{76} +(10.1568 + 12.9154i) q^{77} +(6.75192 + 5.15654i) q^{78} +(10.0217 - 3.46856i) q^{79} +(5.30120 + 1.32361i) q^{80} +(3.47647 + 8.30146i) q^{81} +(3.94559 + 0.478437i) q^{82} +(0.687583 - 0.965575i) q^{83} +(1.62945 + 12.3190i) q^{84} +(0.0740534 - 1.55457i) q^{85} +(1.29765 + 3.04435i) q^{86} +(7.80010 + 8.31186i) q^{87} +(-10.6925 - 7.31522i) q^{88} +(-1.90614 + 0.274061i) q^{89} +(-5.48834 - 1.86135i) q^{90} +(-6.72648 - 10.4666i) q^{91} +(-15.3298 + 0.678945i) q^{92} +(1.70309 - 16.4519i) q^{93} +(6.66666 + 7.35822i) q^{94} +(0.996953 - 2.88051i) q^{95} +(-4.13694 - 8.88177i) q^{96} +(-1.27676 - 2.21141i) q^{97} +(1.77746 - 8.10565i) q^{98} +(10.6649 + 8.66497i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} + O(q^{10}) \) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} - 46q^{10} - 24q^{12} - 88q^{13} - 26q^{16} - 23q^{18} - 128q^{22} - 22q^{24} + 160q^{25} + 44q^{28} - 18q^{30} - 44q^{33} - 6q^{34} - 35q^{36} - 48q^{37} - 92q^{40} - 10q^{42} + 40q^{45} + 46q^{46} - 11q^{48} - 216q^{49} - 76q^{52} + 129q^{54} - 42q^{57} - 56q^{58} - 90q^{60} - 80q^{61} - 48q^{64} - 74q^{66} - 4q^{69} + 96q^{70} - 20q^{72} - 216q^{73} + 76q^{76} - 66q^{78} - 16q^{81} + 20q^{82} - 55q^{84} - 104q^{85} - 30q^{88} - 64q^{90} - 192q^{93} - 32q^{94} - 205q^{96} - 64q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).

\(n\) \(269\) \(337\) \(403\)
\(\chi(n)\) \(-1\) \(e\left(\frac{14}{33}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39424 0.236847i −0.985876 0.167476i
\(3\) 1.65796 + 0.501176i 0.957222 + 0.289354i
\(4\) 1.88781 + 0.660444i 0.943903 + 0.330222i
\(5\) 1.24254 0.567451i 0.555682 0.253772i −0.117721 0.993047i \(-0.537559\pi\)
0.673404 + 0.739275i \(0.264832\pi\)
\(6\) −2.19289 1.09144i −0.895243 0.445579i
\(7\) 2.47543 + 2.59615i 0.935623 + 0.981253i 0.999861 0.0166812i \(-0.00531003\pi\)
−0.0642376 + 0.997935i \(0.520462\pi\)
\(8\) −2.47563 1.36794i −0.875267 0.483639i
\(9\) 2.49765 + 1.66186i 0.832549 + 0.553952i
\(10\) −1.86680 + 0.496869i −0.590335 + 0.157124i
\(11\) 4.55967 + 0.435395i 1.37479 + 0.131277i 0.756151 0.654398i \(-0.227078\pi\)
0.618640 + 0.785674i \(0.287684\pi\)
\(12\) 2.79890 + 2.04111i 0.807974 + 0.589218i
\(13\) −3.40571 0.656397i −0.944574 0.182052i −0.306364 0.951914i \(-0.599113\pi\)
−0.638210 + 0.769863i \(0.720325\pi\)
\(14\) −2.83645 4.20596i −0.758072 1.12409i
\(15\) 2.34448 0.318076i 0.605341 0.0821270i
\(16\) 3.12763 + 2.49358i 0.781907 + 0.623395i
\(17\) 0.522081 1.01270i 0.126623 0.245615i −0.816999 0.576639i \(-0.804364\pi\)
0.943622 + 0.331024i \(0.107394\pi\)
\(18\) −3.08871 2.90859i −0.728016 0.685560i
\(19\) 1.53989 1.61499i 0.353275 0.370504i −0.522986 0.852341i \(-0.675182\pi\)
0.876261 + 0.481837i \(0.160030\pi\)
\(20\) 2.72045 0.250607i 0.608311 0.0560374i
\(21\) 2.80302 + 5.54493i 0.611670 + 1.21000i
\(22\) −6.25414 1.68699i −1.33339 0.359668i
\(23\) −7.12280 + 2.85154i −1.48521 + 0.594587i −0.965649 0.259848i \(-0.916327\pi\)
−0.519558 + 0.854435i \(0.673903\pi\)
\(24\) −3.41891 3.50871i −0.697882 0.716212i
\(25\) −2.05239 + 2.36858i −0.410478 + 0.473717i
\(26\) 4.59291 + 1.72181i 0.900743 + 0.337674i
\(27\) 3.30811 + 4.00705i 0.636646 + 0.771156i
\(28\) 2.95851 + 6.53591i 0.559106 + 1.23517i
\(29\) 5.69931 + 3.29050i 1.05834 + 0.611030i 0.924971 0.380037i \(-0.124089\pi\)
0.133364 + 0.991067i \(0.457422\pi\)
\(30\) −3.34410 0.111809i −0.610546 0.0204134i
\(31\) −1.80721 9.37669i −0.324584 1.68410i −0.667399 0.744701i \(-0.732592\pi\)
0.342814 0.939403i \(1.61138\pi\)
\(32\) −3.77006 4.21742i −0.666459 0.745541i
\(33\) 7.34152 + 3.00706i 1.27800 + 0.523462i
\(34\) −0.967759 + 1.28829i −0.165969 + 0.220939i
\(35\) 4.54901 + 1.82115i 0.768924 + 0.307831i
\(36\) 3.61751 + 4.78682i 0.602918 + 0.797803i
\(37\) −2.75735 4.77587i −0.453305 0.785148i 0.545284 0.838252i \(-0.316422\pi\)
−0.998589 + 0.0531037i \(0.983089\pi\)
\(38\) −2.52948 + 1.88696i −0.410336 + 0.306106i
\(39\) −5.31755 2.79514i −0.851490 0.447580i
\(40\) −3.85232 0.294926i −0.609105 0.0466319i
\(41\) −2.80721 + 0.133724i −0.438412 + 0.0208841i −0.265628 0.964076i \(-0.585579\pi\)
−0.172784 + 0.984960i \(0.555276\pi\)
\(42\) −2.59478 8.39485i −0.400384 1.29535i
\(43\) −1.26514 1.96860i −0.192932 0.300209i 0.731287 0.682069i \(-0.238920\pi\)
−0.924220 + 0.381861i \(0.875283\pi\)
\(44\) 8.32021 + 3.83335i 1.25432 + 0.577899i
\(45\) 4.04646 + 0.647638i 0.603210 + 0.0965441i
\(46\) 10.6063 2.28871i 1.56381 0.337452i
\(47\) −5.51885 4.34007i −0.805007 0.633065i 0.128465 0.991714i \(-0.458995\pi\)
−0.933472 + 0.358649i \(0.883237\pi\)
\(48\) 3.93575 + 5.70174i 0.568077 + 0.822976i
\(49\) −0.279199 + 5.86110i −0.0398855 + 0.837300i
\(50\) 3.42251 2.81627i 0.484017 0.398281i
\(51\) 1.37313 1.41735i 0.192276 0.198469i
\(52\) −5.99581 3.48843i −0.831469 0.483758i
\(53\) −5.38947 + 8.38618i −0.740301 + 1.15193i 0.243015 + 0.970023i \(0.421864\pi\)
−0.983316 + 0.181908i \(0.941773\pi\)
\(54\) −3.66324 6.37030i −0.498503 0.866888i
\(55\) 5.91265 2.04639i 0.797261 0.275935i
\(56\) −2.57686 9.81335i −0.344348 1.31136i
\(57\) 3.36246 1.90583i 0.445369 0.252433i
\(58\) −7.16686 5.93761i −0.941055 0.779646i
\(59\) −2.65879 3.06841i −0.346146 0.399473i 0.555805 0.831313i \(-0.312410\pi\)
−0.901950 + 0.431839i \(0.857865\pi\)
\(60\) 4.63599 + 0.947929i 0.598504 + 0.122377i
\(61\) −6.02926 + 0.575724i −0.771968 + 0.0737140i −0.473603 0.880738i \(-0.657047\pi\)
−0.298364 + 0.954452i \(0.596441\pi\)
\(62\) 0.298837 + 13.5014i 0.0379524 + 1.71468i
\(63\) 1.86831 + 10.5981i 0.235385 + 1.33523i
\(64\) 4.25749 + 6.77302i 0.532186 + 0.846628i
\(65\) −4.60421 + 1.11697i −0.571083 + 0.138543i
\(66\) −9.52363 5.93138i −1.17228 0.730103i
\(67\) −2.62262 + 7.75383i −0.320404 + 0.947281i
\(68\) 1.65442 1.56697i 0.200627 0.190023i
\(69\) −13.2384 + 1.15796i −1.59372 + 0.139402i
\(70\) −5.91108 3.61654i −0.706509 0.432259i
\(71\) 13.1458 6.77715i 1.56012 0.804299i 0.560409 0.828216i \(-0.310644\pi\)
0.999714 + 0.0239170i \(0.00761374\pi\)
\(72\) −3.90993 7.53077i −0.460790 0.887509i
\(73\) 10.5533 1.00772i 1.23517 0.117945i 0.543035 0.839710i \(-0.317275\pi\)
0.692138 + 0.721765i \(0.256669\pi\)
\(74\) 2.71325 + 7.31177i 0.315409 + 0.849976i
\(75\) −4.58985 + 2.89840i −0.529990 + 0.334679i
\(76\) 3.97362 2.03178i 0.455806 0.233061i
\(77\) 10.1568 + 12.9154i 1.15747 + 1.47184i
\(78\) 6.75192 + 5.15654i 0.764504 + 0.583863i
\(79\) 10.0217 3.46856i 1.12753 0.390243i 0.301277 0.953537i \(-0.402587\pi\)
0.826257 + 0.563294i \(0.190466\pi\)
\(80\) 5.30120 + 1.32361i 0.592692 + 0.147984i
\(81\) 3.47647 + 8.30146i 0.386274 + 0.922384i
\(82\) 3.94559 + 0.478437i 0.435718 + 0.0528345i
\(83\) 0.687583 0.965575i 0.0754720 0.105986i −0.775114 0.631821i \(-0.782308\pi\)
0.850586 + 0.525835i \(0.176247\pi\)
\(84\) 1.62945 + 12.3190i 0.177787 + 1.34411i
\(85\) 0.0740534 1.55457i 0.00803222 0.168617i
\(86\) 1.29765 + 3.04435i 0.139930 + 0.328280i
\(87\) 7.80010 + 8.31186i 0.836258 + 0.891125i
\(88\) −10.6925 7.31522i −1.13982 0.779805i
\(89\) −1.90614 + 0.274061i −0.202050 + 0.0290504i −0.242597 0.970127i \(-0.577999\pi\)
0.0405465 + 0.999178i \(0.487090\pi\)
\(90\) −5.48834 1.86135i −0.578521 0.196204i
\(91\) −6.72648 10.4666i −0.705126 1.09720i
\(92\) −15.3298 + 0.678945i −1.59824 + 0.0707849i
\(93\) 1.70309 16.4519i 0.176603 1.70598i
\(94\) 6.66666 + 7.35822i 0.687614 + 0.758943i
\(95\) 0.996953 2.88051i 0.102285 0.295534i
\(96\) −4.13694 8.88177i −0.422224 0.906491i
\(97\) −1.27676 2.21141i −0.129635 0.224535i 0.793900 0.608048i \(-0.208047\pi\)
−0.923535 + 0.383514i \(0.874714\pi\)
\(98\) 1.77746 8.10565i 0.179550 0.818794i
\(99\) 10.6649 + 8.66497i 1.07186 + 0.870862i
\(100\) −5.43883 + 3.11594i −0.543883 + 0.311594i
\(101\) 11.3030 + 2.74207i 1.12469 + 0.272846i 0.754622 0.656159i \(-0.227820\pi\)
0.370065 + 0.929006i \(0.379335\pi\)
\(102\) −2.25016 + 1.65091i −0.222799 + 0.163464i
\(103\) −2.40294 12.4676i −0.236768 1.22847i −0.884477 0.466583i \(-0.845485\pi\)
0.647709 0.761888i \(1.72427\pi\)
\(104\) 7.53336 + 6.28380i 0.738707 + 0.616177i
\(105\) 6.62936 + 5.29925i 0.646959 + 0.517153i
\(106\) 9.50046 10.4159i 0.922766 1.01168i
\(107\) 5.67885 12.4349i 0.548995 1.20213i −0.408255 0.912868i \(-0.633863\pi\)
0.957250 0.289263i \(-0.0934102\pi\)
\(108\) 3.59864 + 9.74935i 0.346279 + 0.938131i
\(109\) −10.0541 + 11.6030i −0.963007 + 1.11137i 0.0307194 + 0.999528i \(0.490220\pi\)
−0.993726 + 0.111841i \(0.964325\pi\)
\(110\) −8.72833 + 1.45276i −0.832214 + 0.138515i
\(111\) −2.17802 9.30010i −0.206728 0.882727i
\(112\) 1.26850 + 14.2925i 0.119862 + 1.35051i
\(113\) 2.76708 1.97043i 0.260305 0.185363i −0.442452 0.896792i \(-0.645891\pi\)
0.702757 + 0.711430i \(0.251952\pi\)
\(114\) −5.13947 + 1.86079i −0.481355 + 0.174279i
\(115\) −7.23228 + 7.58500i −0.674414 + 0.707305i
\(116\) 8.58601 + 9.97590i 0.797191 + 0.926239i
\(117\) −7.41542 7.29924i −0.685556 0.674815i
\(118\) 2.98025 + 4.90783i 0.274354 + 0.451802i
\(119\) 3.92148 1.15145i 0.359482 0.105553i
\(120\) −6.23917 2.41966i −0.569555 0.220884i
\(121\) 9.79977 + 1.88875i 0.890888 + 0.171705i
\(122\) 8.54259 + 0.625317i 0.773410 + 0.0566135i
\(123\) −4.72125 1.18520i −0.425701 0.106865i
\(124\) 2.78112 18.8949i 0.249752 1.69682i
\(125\) −3.13034 + 10.6610i −0.279986 + 0.953546i
\(126\) −0.0947420 15.2188i −0.00844029 1.35579i
\(127\) 4.04190 + 4.23902i 0.358661 + 0.376152i 0.878200 0.478294i \(-0.158745\pi\)
−0.519539 + 0.854447i \(0.673896\pi\)
\(128\) −4.33178 10.4516i −0.382879 0.923798i
\(129\) −1.11094 3.89791i −0.0978126 0.343192i
\(130\) 6.68393 0.466828i 0.586219 0.0409435i
\(131\) −0.931932 + 6.48173i −0.0814232 + 0.566311i 0.907745 + 0.419523i \(0.137803\pi\)
−0.989168 + 0.146788i \(0.953106\pi\)
\(132\) 11.8734 + 10.5254i 1.03345 + 0.916120i
\(133\) 8.00464 0.694090
\(134\) 5.49304 10.1895i 0.474526 0.880241i
\(135\) 6.38427 + 3.10174i 0.549471 + 0.266955i
\(136\) −2.67778 + 1.79288i −0.229618 + 0.153739i
\(137\) 10.9703 + 1.57730i 0.937259 + 0.134757i 0.593983 0.804477i \(-0.297554\pi\)
0.343275 + 0.939235i \(0.388464\pi\)
\(138\) 18.7318 + 1.52102i 1.59456 + 0.129478i
\(139\) 5.94066 2.71301i 0.503881 0.230115i −0.147223 0.989103i \(-0.547034\pi\)
0.651104 + 0.758989i \(0.274306\pi\)
\(140\) 7.38489 + 6.44235i 0.624137 + 0.544478i
\(141\) −6.97488 9.96157i −0.587391 0.838915i
\(142\) −19.9336 + 6.33541i −1.67279 + 0.531656i
\(143\) −15.2431 4.47578i −1.27469 0.374283i
\(144\) 3.66773 + 11.4257i 0.305645 + 0.952146i
\(145\) 8.94884 + 0.854511i 0.743161 + 0.0709632i
\(146\) −14.9525 1.09452i −1.23748 0.0905835i
\(147\) −3.40034 + 9.57752i −0.280455 + 0.789941i
\(148\) −2.05115 10.8370i −0.168603 0.890795i
\(149\) 1.04582 + 3.56172i 0.0856766 + 0.291788i 0.991175 0.132563i \(-0.0423206\pi\)
−0.905498 + 0.424350i \(0.860502\pi\)
\(150\) 7.08583 2.95397i 0.578556 0.241191i
\(151\) −7.71494 + 14.9649i −0.627833 + 1.21783i 0.333581 + 0.942721i \(0.391743\pi\)
−0.961414 + 0.275105i \(0.911288\pi\)
\(152\) −6.02140 + 1.89164i −0.488400 + 0.153432i
\(153\) 2.98693 1.66173i 0.241479 0.134343i
\(154\) −11.1020 20.4127i −0.894624 1.64490i
\(155\) −7.56635 10.6254i −0.607744 0.853457i
\(156\) −8.19248 8.78862i −0.655923 0.703653i
\(157\) −5.80960 + 2.32581i −0.463656 + 0.185620i −0.591716 0.806146i \(-0.701549\pi\)
0.128060 + 0.991766i \(0.459125\pi\)
\(158\) −14.7942 + 2.46238i −1.17696 + 0.195896i
\(159\) −13.1385 + 11.2029i −1.04195 + 0.888444i
\(160\) −7.07765 3.10100i −0.559537 0.245156i
\(161\) −25.0350 11.4331i −1.97303 0.901055i
\(162\) −2.88085 12.3976i −0.226341 0.974048i
\(163\) 4.78444 + 2.76230i 0.374747 + 0.216360i 0.675530 0.737332i \(-0.263915\pi\)
−0.300784 + 0.953692i \(0.597248\pi\)
\(164\) −5.38778 1.60156i −0.420715 0.125061i
\(165\) 10.8285 0.429548i 0.842999 0.0334403i
\(166\) −1.18735 + 1.18339i −0.0921561 + 0.0918489i
\(167\) 0.950986 3.92002i 0.0735895 0.303340i −0.923108 0.384540i \(-0.874360\pi\)
0.996698 + 0.0811999i \(0.0258752\pi\)
\(168\) 0.645883 17.5616i 0.0498310 1.35490i
\(169\) −0.900785 0.360620i −0.0692912 0.0277400i
\(170\) −0.471445 + 2.14991i −0.0361582 + 0.164890i
\(171\) 6.52998 1.47460i 0.499360 0.112765i
\(172\) −1.08819 4.55189i −0.0829740 0.347079i
\(173\) −6.50314 2.25076i −0.494425 0.171122i 0.0684660 0.997653i \(-0.478190\pi\)
−0.562891 + 0.826531i \(0.690311\pi\)
\(174\) −8.90656 13.4362i −0.675205 1.01859i
\(175\) −11.2297 + 0.534939i −0.848889 + 0.0404376i
\(176\) 13.1752 + 12.7316i 0.993121 + 0.959684i
\(177\) −2.87035 6.41982i −0.215749 0.482543i
\(178\) 2.72252 + 0.0693568i 0.204062 + 0.00519851i
\(179\) −2.06103 14.3348i −0.154049 1.07143i −0.909343 0.416048i \(-0.863415\pi\)
0.755294 0.655386i \(1.77251\pi\)
\(180\) 7.21120 + 3.89507i 0.537491 + 0.290321i
\(181\) −18.1606 14.2817i −1.34987 1.06155i −0.991793 0.127855i \(-0.959191\pi\)
−0.358075 0.933693i \(-0.616567\pi\)
\(182\) 6.89933 + 16.1861i 0.511412 + 1.19979i
\(183\) −10.2848 2.06719i −0.760274 0.152811i
\(184\) 21.5342 + 2.68420i 1.58752 + 0.197882i
\(185\) −6.13620 4.36957i −0.451142 0.321257i
\(186\) −6.27111 + 22.5345i −0.459820 + 1.65231i
\(187\) 2.82144 4.39024i 0.206324 0.321046i
\(188\) −7.55215 11.8381i −0.550797 0.863383i
\(189\) −2.21392 + 18.5075i −0.161039 + 1.34622i
\(190\) −2.07223 + 3.77999i −0.150335 + 0.274229i
\(191\) −1.18722 + 0.933642i −0.0859044 + 0.0675560i −0.660188 0.751101i \(-0.729523\pi\)
0.574283 + 0.818657i \(0.305281\pi\)
\(192\) 3.66426 + 13.3631i 0.264445 + 0.964401i
\(193\) −13.3173 15.3690i −0.958601 1.10628i −0.994268 0.106921i \(-0.965901\pi\)
0.0356668 0.999364i \(-0.488645\pi\)
\(194\) 1.25634 + 3.38563i 0.0901999 + 0.243074i
\(195\) −8.19339 0.455631i −0.586741 0.0326284i
\(196\) −4.39800 + 10.8802i −0.314143 + 0.777159i
\(197\) −4.02546 7.80831i −0.286802 0.556319i 0.700788 0.713369i \(-0.252832\pi\)
−0.987591 + 0.157050i \(0.949801\pi\)
\(198\) −12.8171 14.6070i −0.910872 1.03807i
\(199\) −24.9309 + 6.04817i −1.76730 + 0.428743i −0.981770 0.190074i \(-0.939127\pi\)
−0.785535 + 0.618817i \(0.787612\pi\)
\(200\) 8.32103 3.05619i 0.588386 0.216105i
\(201\) −8.23423 + 11.5411i −0.580798 + 0.814048i
\(202\) −15.1096 6.50018i −1.06311 0.457351i
\(203\) 5.56559 + 22.9417i 0.390628 + 1.61019i
\(204\) 3.52828 1.76881i 0.247029 0.123842i
\(205\) −3.41220 + 1.75911i −0.238318 + 0.122862i
\(206\) 0.397346 + 17.9520i 0.0276844 + 1.25077i
\(207\) −22.5291 4.71493i −1.56588 0.327711i
\(208\) −9.01501 10.5454i −0.625079 0.731190i
\(209\) 7.72454 6.69335i 0.534317 0.462989i
\(210\) −7.98780 8.95856i −0.551210 0.618199i
\(211\) −0.129225 0.164323i −0.00889621 0.0113124i 0.781585 0.623799i \(-0.214412\pi\)
−0.790481 + 0.612487i \(0.790169\pi\)
\(212\) −15.7129 + 12.2720i −1.07916 + 0.842847i
\(213\) 25.1918 4.64785i 1.72611 0.318465i
\(214\) −10.8629 + 15.9923i −0.742569 + 1.09321i
\(215\) −2.68908 1.72817i −0.183394 0.117860i
\(216\) −2.70826 14.4453i −0.184274 0.982875i
\(217\) 19.8697 27.9031i 1.34884 1.89419i
\(218\) 16.7659 13.7961i 1.13553 0.934391i
\(219\) 18.0020 + 3.61831i 1.21646 + 0.244503i
\(220\) 12.5135 + 0.0417886i 0.843658 + 0.00281739i
\(221\) −2.44278 + 3.10625i −0.164319 + 0.208949i
\(222\) 0.833974 + 13.4824i 0.0559726 + 0.904881i
\(223\) −0.0597759 + 0.00859447i −0.00400289 + 0.000575529i −0.144316 0.989532i \(-0.546098\pi\)
0.140313 + 0.990107i \(0.455189\pi\)
\(224\) 1.61655 20.2276i 0.108010 1.35151i
\(225\) −9.06239 + 2.50511i −0.604159 + 0.167007i
\(226\) −4.32467 + 2.09188i −0.287673 + 0.139149i
\(227\) −0.538078 11.2956i −0.0357135 0.749718i −0.943717 0.330755i \(-0.892697\pi\)
0.908003 0.418963i \(1.86239\pi\)
\(228\) 7.60637 1.37712i 0.503744 0.0912018i
\(229\) 6.59311 19.0495i 0.435685 1.25883i −0.487044 0.873378i \(-0.661925\pi\)
0.922728 0.385451i \(-0.125954\pi\)
\(230\) 11.8800 8.86236i 0.783346 0.584367i
\(231\) 10.3666 + 26.5035i 0.682073 + 1.74380i
\(232\) −9.60818 15.9424i −0.630808 1.04667i
\(233\) −1.37462 + 3.43364i −0.0900546 + 0.224945i −0.966557 0.256452i \(-0.917446\pi\)
0.876502 + 0.481398i \(0.159871\pi\)
\(234\) 8.61006 + 11.9332i 0.562857 + 0.780099i
\(235\) −9.32019 2.26105i −0.607982 0.147495i
\(236\) −2.99278 7.54855i −0.194813 0.491369i
\(237\) 18.3540 0.728069i 1.19222 0.0472932i
\(238\) −5.74020 + 0.676606i −0.372082 + 0.0438578i
\(239\) 7.72483 13.3798i 0.499678 0.865468i −0.500322 0.865839i \(-0.666785\pi\)
1.00000 0.000371818i \(0.000118353\pi\)
\(240\) 8.12580 + 4.85132i 0.524518 + 0.313151i
\(241\) −8.98290 + 19.6698i −0.578639 + 1.26704i 0.363429 + 0.931622i \(0.381606\pi\)
−0.942068 + 0.335422i \(0.891121\pi\)
\(242\) −13.2159 4.95442i −0.849549 0.318482i
\(243\) 1.60335 + 15.5058i 0.102855 + 0.994696i
\(244\) −11.7623 2.89513i −0.753005 0.185342i
\(245\) 2.97897 + 7.44110i 0.190319 + 0.475395i
\(246\) 6.30184 + 2.77066i 0.401791 + 0.176651i
\(247\) −6.30449 + 4.48940i −0.401145 + 0.285654i
\(248\) −8.35276 + 25.6854i −0.530401 + 1.63102i
\(249\) 1.62391 1.25628i 0.102911 0.0796137i
\(250\) 6.88947 14.1225i 0.435728 0.893187i
\(251\) −24.6417 12.7037i −1.55537 0.801849i −0.555804 0.831313i \(-0.687589\pi\)
−0.999566 + 0.0294645i \(0.990620\pi\)
\(252\) −3.47243 + 21.2410i −0.218742 + 1.33806i
\(253\) −33.7191 + 9.90084i −2.11990 + 0.622460i
\(254\) −4.63137 6.86753i −0.290598 0.430907i
\(255\) 0.901891 2.54030i 0.0564786 0.159080i
\(256\) 3.56411 + 15.5980i 0.222757 + 0.974874i
\(257\) −0.728614 + 7.63039i −0.0454497 + 0.475971i 0.943881 + 0.330285i \(0.107145\pi\)
−0.989331 + 0.145686i \(0.953461\pi\)
\(258\) 0.625703 + 5.69775i 0.0389545 + 0.354726i
\(259\) 5.57327 18.9808i 0.346306 1.17941i
\(260\) −9.42956 0.932201i −0.584797 0.0578127i
\(261\) 8.76653 + 17.6899i 0.542634 + 1.09498i
\(262\) 2.83452 8.81635i 0.175117 0.544676i
\(263\) 6.33756 + 13.8773i 0.390791 + 0.855712i 0.998122 + 0.0612634i \(0.0195130\pi\)
−0.607331 + 0.794449i \(0.707760\pi\)
\(264\) −14.0614 17.4871i −0.865420 1.07626i
\(265\) −1.93791 + 13.4785i −0.119045 + 0.827975i
\(266\) −11.1604 1.89588i −0.684287 0.116244i
\(267\) −3.29765 0.500928i −0.201813 0.0306563i
\(268\) −10.0720 + 12.9056i −0.615244 + 0.788337i
\(269\) 24.1918i 1.47500i −0.675347 0.737500i \(-0.736006\pi\)
0.675347 0.737500i \(-0.263994\pi\)
\(270\) −8.16656 5.83667i −0.497001 0.355208i
\(271\) 5.05073 + 0.726186i 0.306810 + 0.0441126i 0.294000 0.955805i \(-0.405013\pi\)
0.0128098 + 0.999918i \(0.495922\pi\)
\(272\) 4.15811 1.86548i 0.252122 0.113112i
\(273\) −5.90661 20.7243i −0.357484 1.25429i
\(274\) −14.9217 4.79742i −0.901452 0.289823i
\(275\) −10.3895 + 9.90635i −0.626509 + 0.597375i
\(276\) −25.7564 6.55724i −1.55035 0.394699i
\(277\) 13.3261 + 3.91290i 0.800689 + 0.235103i 0.656381 0.754429i \(-0.272086\pi\)
0.144308 + 0.989533i \(0.453904\pi\)
\(278\) −8.92528 + 2.37556i −0.535303 + 0.142476i
\(279\) 11.0689 26.4230i 0.662680 1.58190i
\(280\) −8.77045 10.7313i −0.524135 0.641316i
\(281\) −2.44028 + 12.6614i −0.145575 + 0.755314i 0.833612 + 0.552351i \(0.186269\pi\)
−0.979186 + 0.202963i \(0.934943\pi\)
\(282\) 7.36528 + 15.5408i 0.438596 + 0.925441i
\(283\) 2.38353 + 8.11756i 0.141686 + 0.482539i 0.999507 0.0314107i \(-0.00999999\pi\)
−0.857820 + 0.513950i \(0.828182\pi\)
\(284\) 29.2927 4.11186i 1.73820 0.243994i
\(285\) 3.09654 4.27611i 0.183423 0.253295i
\(286\) 20.1925 + 9.85060i 1.19401 + 0.582478i
\(287\) −7.29620 6.95692i −0.430681 0.410654i
\(288\) −2.40754 16.7989i −0.141866 0.989886i
\(289\) 9.10798 + 12.7904i 0.535764 + 0.752375i
\(290\) −12.2744 3.31090i −0.720780 0.194423i
\(291\) −1.00851 4.30630i −0.0591197 0.252440i
\(292\) 20.5882 + 5.06750i 1.20483 + 0.296553i
\(293\) −22.0713 19.1249i −1.28942 1.11729i −0.986410 0.164303i \(-0.947463\pi\)
−0.303011 0.952987i \(-0.597992\pi\)
\(294\) 7.00930 12.5480i 0.408791 0.731814i
\(295\) −5.04484 2.30390i −0.293722 0.134138i
\(296\) 0.293079 + 15.5952i 0.0170349 + 0.906451i
\(297\) 13.3392 + 19.7111i 0.774020 + 1.14376i
\(298\) −0.614533 5.21359i −0.0355989 0.302015i
\(299\) 26.1299 5.03613i 1.51113 0.291247i
\(300\) −10.5790 + 2.44029i −0.610778 + 0.140890i
\(301\) 1.97902 8.15763i 0.114069 0.470198i
\(302\) 14.3009 19.0374i 0.822922 1.09548i
\(303\) 17.3656 + 10.2110i 0.997627 + 0.586607i
\(304\) 8.84330 1.21125i 0.507198 0.0694698i
\(305\) −7.16492 + 4.13667i −0.410262 + 0.236865i
\(306\) −4.55807 + 1.60941i −0.260567 + 0.0920036i
\(307\) 26.8747 + 9.30142i 1.53382 + 0.530860i 0.958013 0.286726i \(-0.0925670\pi\)
0.575806 + 0.817586i \(0.304688\pi\)
\(308\) 10.6441 + 31.0897i 0.606505 + 1.77150i
\(309\) 2.26450 21.8751i 0.128823 1.24443i
\(310\) 8.03269 + 16.6065i 0.456226 + 0.943185i
\(311\) −15.4788 + 9.94765i −0.877724 + 0.564079i −0.900106 0.435670i \(-0.856511\pi\)
0.0223819 + 0.999749i \(0.492875\pi\)
\(312\) 9.34071 + 14.1938i 0.528814 + 0.803566i
\(313\) −2.45737 17.0914i −0.138899 0.966063i −0.933410 0.358813i \(-0.883182\pi\)
0.794511 0.607250i \(-0.207727\pi\)
\(314\) 8.65083 1.86675i 0.488195 0.105347i
\(315\) 8.33534 + 12.1084i 0.469643 + 0.682231i
\(316\) 21.2099 + 0.0708303i 1.19315 + 0.00398452i
\(317\) −30.1837 1.43783i −1.69529 0.0807564i −0.822471 0.568808i \(-0.807405\pi\)
−0.872815 + 0.488051i \(0.837708\pi\)
\(318\) 20.9715 12.5077i 1.17602 0.701394i
\(319\) 24.5543 + 17.4850i 1.37478 + 0.978974i
\(320\) 9.13347 + 5.99986i 0.510576 + 0.335402i
\(321\) 15.6474 17.7705i 0.873351 0.991853i
\(322\) 32.1969 + 21.8700i 1.79426 + 1.21877i
\(323\) −0.831545 2.40259i −0.0462684 0.133684i
\(324\) 1.08026 + 17.9676i 0.0600143 + 0.998198i
\(325\) 8.54457 6.71952i 0.473967 0.372732i
\(326\) −6.01642 4.98449i −0.333218 0.276065i
\(327\) −22.4844 + 14.1985i −1.24339 + 0.785177i
\(328\) 7.13253 + 3.50904i 0.393828 + 0.193754i
\(329\) −2.39402 25.0713i −0.131987 1.38223i
\(330\) −15.1993 1.96581i −0.836693 0.108215i
\(331\) −5.08468 9.86290i −0.279479 0.542114i 0.706757 0.707456i \(-0.250157\pi\)
−0.986236 + 0.165342i \(0.947127\pi\)
\(332\) 1.93573 1.36871i 0.106237 0.0751177i
\(333\) 1.04992 16.5107i 0.0575355 0.904783i
\(334\) −2.25435 + 5.24021i −0.123352 + 0.286731i
\(335\) 1.14119 + 11.1227i 0.0623500 + 0.607697i
\(336\) −5.05993 + 24.3321i −0.276042 + 1.32742i
\(337\) 3.95662 + 16.3094i 0.215531 + 0.888430i 0.972110 + 0.234527i \(0.0753542\pi\)
−0.756579 + 0.653902i \(0.773131\pi\)
\(338\) 1.17050 + 0.716139i 0.0636667 + 0.0389528i
\(339\) 5.57524 1.88010i 0.302805 0.102113i
\(340\) 1.16651 2.88582i 0.0632627 0.156506i
\(341\) −4.15770 43.5414i −0.225152 2.35790i
\(342\) −9.45360 + 0.509334i −0.511192 + 0.0275416i
\(343\) 3.06954 2.65977i 0.165740 0.143614i
\(344\) 0.439100 + 6.60416i 0.0236747 + 0.356073i
\(345\) −15.7922 + 8.95097i −0.850226 + 0.481904i
\(346\) 8.53385 + 4.67835i 0.458782 + 0.251510i
\(347\) 5.87569 + 16.9767i 0.315424 + 0.911357i 0.985591 + 0.169147i \(0.0541012\pi\)
−0.670167 + 0.742210i \(0.733778\pi\)
\(348\) 9.23556 + 20.8427i 0.495078 + 1.11729i
\(349\) −4.98437 3.20326i −0.266807 0.171466i 0.400396 0.916342i \(-0.368872\pi\)
−0.667203 + 0.744876i \(0.732509\pi\)
\(350\) 15.7836 + 1.91390i 0.843671 + 0.102302i
\(351\) −8.63625 15.8183i −0.460969 0.844316i
\(352\) −15.3540 20.8715i −0.818370 1.11245i
\(353\) 2.15285 + 0.102553i 0.114585 + 0.00545834i 0.104796 0.994494i \(-0.466581\pi\)
0.00978880 + 0.999952i \(0.496884\pi\)
\(354\) 2.48144 + 9.63060i 0.131887 + 0.511861i
\(355\) 12.4886 15.8805i 0.662824 0.842850i
\(356\) −3.77942 0.741523i −0.200309 0.0393006i
\(357\) 7.07873 + 0.0562946i 0.374646 + 0.00297942i
\(358\) −0.521587 + 20.4743i −0.0275667 + 1.08210i
\(359\) 26.9994 17.3515i 1.42497 0.915775i 0.425030 0.905179i \(-0.360263\pi\)
0.999944 0.0105960i \(-0.00337289\pi\)
\(360\) −9.13160 7.13861i −0.481277 0.376238i
\(361\) 0.667125 + 14.0047i 0.0351118 + 0.737088i
\(362\) 21.9377 + 24.2134i 1.15302 + 1.27263i
\(363\) 15.3010 + 8.04287i 0.803094 + 0.422141i
\(364\) −5.78568 24.2014i −0.303252 1.26850i
\(365\) 12.5411 7.24063i 0.656433 0.378992i
\(366\) 13.8499 + 5.31809i 0.723944 + 0.277981i
\(367\) 10.7269 26.7945i 0.559941 1.39866i −0.330605 0.943769i \(-0.607253\pi\)
0.890545 0.454895i \(-0.150323\pi\)
\(368\) −29.3880 8.84273i −1.53196 0.460959i
\(369\) −7.23364 4.33118i −0.376568 0.225472i
\(370\) 7.52041 + 7.54556i 0.390967 + 0.392275i
\(371\) −35.1130 + 6.76748i −1.82298 + 0.351350i
\(372\) 14.0807 29.9332i 0.730048 1.55196i
\(373\) −10.8957 + 18.8719i −0.564159 + 0.977152i 0.432969 + 0.901409i \(0.357466\pi\)
−0.997127 + 0.0757428i \(0.975867\pi\)
\(374\) −4.97357 + 5.45279i −0.257177 + 0.281957i
\(375\) −10.5330 + 16.1066i −0.543921 + 0.831740i
\(376\) 7.72568 + 18.2939i 0.398421 + 0.943434i
\(377\) −17.2503 14.9475i −0.888437 0.769835i
\(378\) 7.47019 25.2795i 0.384225 1.30024i
\(379\) 7.46943 + 18.6577i 0.383679 + 0.958383i 0.986976 + 0.160867i \(0.0514289\pi\)
−0.603297 + 0.797516i \(0.706147\pi\)
\(380\) 3.78447 4.77941i 0.194139 0.245178i
\(381\) 4.57680 + 9.05382i 0.234477 + 0.463841i
\(382\) 1.87640 1.02053i 0.0960052 0.0522149i
\(383\) 4.81521 + 4.59130i 0.246046 + 0.234604i 0.803059 0.595899i \(-0.203204\pi\)
−0.557013 + 0.830504i \(0.688053\pi\)
\(384\) −1.94383 19.4993i −0.0991957 0.995068i
\(385\) 19.9491 + 10.2845i 1.01670 + 0.524144i
\(386\) 14.9274 + 24.5822i 0.759785 + 1.25120i
\(387\) 0.111652 7.01935i 0.00567558 0.356814i
\(388\) −0.949760 5.01794i −0.0482168 0.254747i
\(389\) −3.11354 + 16.1546i −0.157863 + 0.819068i 0.813518 + 0.581540i \(0.197550\pi\)
−0.971381 + 0.237529i \(0.923663\pi\)
\(390\) 11.3156 + 2.57584i 0.572989 + 0.130433i
\(391\) −0.830936 + 8.70196i −0.0420223 + 0.440077i
\(392\) 8.70882 14.1280i 0.439862 0.713571i
\(393\) −4.79359 + 10.2794i −0.241804 + 0.518525i
\(394\) 3.76308 + 11.8401i 0.189581 + 0.596494i
\(395\) 10.4842 9.99668i 0.527518 0.502987i
\(396\) 14.4105 + 23.4013i 0.724154 + 1.17596i
\(397\) 0.650954 + 1.42539i 0.0326704 + 0.0715383i 0.925264 0.379325i \(-0.123844\pi\)
−0.892593 + 0.450863i \(0.851116\pi\)
\(398\) 36.1921 2.52778i 1.81415 0.126706i
\(399\) 13.2714 + 4.01173i 0.664399 + 0.200838i
\(400\) −12.3254 + 2.29025i −0.616268 + 0.114512i
\(401\) 5.15593i 0.257475i −0.991679 0.128738i \(-0.958908\pi\)
0.991679 0.128738i \(-0.0410925\pi\)
\(402\) 14.2140 14.1408i 0.708928 0.705281i
\(403\) 33.1205i 1.64985i
\(404\) 19.5268 + 12.6415i 0.971497 + 0.628937i
\(405\) 9.03033 + 8.34220i 0.448721 + 0.414527i
\(406\) −2.32609 33.3044i −0.115442 1.65287i
\(407\) −10.4932 22.9769i −0.520129 1.13892i
\(408\) −5.33820 + 1.63049i −0.264280 + 0.0807210i
\(409\) 24.0098 22.8933i 1.18721 1.13200i 0.198822 0.980036i \(-0.436289\pi\)
0.988386 0.151964i \(-0.0485599\pi\)
\(410\) 5.17406 1.64445i 0.255529 0.0812136i
\(411\) 17.3978 + 8.11315i 0.858172 + 0.400192i
\(412\) 3.69788 25.1235i 0.182182 1.23774i
\(413\) 1.38442 14.4983i 0.0681227 0.713413i
\(414\) 30.2942 + 11.9097i 1.48888 + 0.585330i
\(415\) 0.306436 1.58994i 0.0150423 0.0780470i
\(416\) 10.0714 + 16.8380i 0.493793 + 0.825549i
\(417\) 11.2091 1.52074i 0.548910 0.0744709i
\(418\) −12.3552 + 7.50260i −0.604310 + 0.366964i
\(419\) 13.5875 + 7.00484i 0.663793 + 0.342209i 0.756978 0.653440i \(-0.226675\pi\)
−0.0931858 + 0.995649i \(0.529705\pi\)
\(420\) 9.01509 + 14.3823i 0.439891 + 0.701783i
\(421\) 2.58838 + 2.46801i 0.126150 + 0.120284i 0.750528 0.660838i \(-0.229799\pi\)
−0.624378 + 0.781122i \(0.714648\pi\)
\(422\) 0.141251 + 0.259712i 0.00687599 + 0.0126426i
\(423\) −6.57156 20.0115i −0.319520 0.972992i
\(424\) 24.8141 13.3886i 1.20508 0.650208i
\(425\) 1.32714 + 3.31504i 0.0643757 + 0.160803i
\(426\) −36.2242 + 0.513611i −1.75507 + 0.0248845i
\(427\) −16.4197 14.2277i −0.794603 0.688527i
\(428\) 18.9331 19.7242i 0.915168 0.953405i
\(429\) −23.0293 15.0601i −1.11186 0.727110i
\(430\) 3.33991 + 3.04638i 0.161065 + 0.146909i
\(431\) −8.95379 + 15.5084i −0.431289 + 0.747015i −0.996985 0.0775996i \(-0.975274\pi\)
0.565696 + 0.824614i \(0.308608\pi\)
\(432\) 0.354641 + 20.7816i 0.0170627 + 0.999854i
\(433\) −11.2419 + 2.16669i −0.540250 + 0.104125i −0.452074 0.891980i \(-0.649316\pi\)
−0.0881758 + 0.996105i \(0.528104\pi\)
\(434\) −34.3119 + 34.1975i −1.64702 + 1.64153i
\(435\) 14.4085 + 5.90168i 0.690836 + 0.282964i
\(436\) −26.6433 + 15.2641i −1.27598 + 0.731019i
\(437\) −6.36312 + 15.8943i −0.304389 + 0.760328i
\(438\) −24.2421 9.30852i −1.15833 0.444778i
\(439\) −10.0585 + 5.80727i −0.480065 + 0.277166i −0.720444 0.693513i \(-0.756062\pi\)
0.240378 + 0.970679i \(0.422729\pi\)
\(440\) −17.4369 3.02204i −0.831270 0.144070i
\(441\) −10.4376 + 14.1750i −0.497030 + 0.674998i
\(442\) 4.14153 3.75229i 0.196993 0.178478i
\(443\) −0.0619317 1.30011i −0.00294246 0.0617699i 0.996919 0.0784441i \(-0.0249952\pi\)
−0.999861 + 0.0166742i \(0.994692\pi\)
\(444\) 2.03052 18.9953i 0.0963642 0.901475i
\(445\) −2.21294 + 1.42217i −0.104904 + 0.0674174i
\(446\) 0.0853775 + 0.00217501i 0.00404274 + 0.000102990i
\(447\) −0.0511300 + 6.42932i −0.00241837 + 0.304096i
\(448\) −7.04470 + 27.8192i −0.332831 + 1.31433i
\(449\) −7.58685 + 9.64747i −0.358046 + 0.455292i −0.931390 0.364022i \(-0.881403\pi\)
0.573345 + 0.819314i \(0.305646\pi\)
\(450\) 13.2285 1.34632i 0.623596 0.0634660i
\(451\) −12.8582 0.612509i −0.605467 0.0288419i
\(452\) 6.52508 1.89229i 0.306914 0.0890058i
\(453\) −20.2911 + 20.9446i −0.953358 + 0.984064i
\(454\) −1.92513 + 15.8763i −0.0903510 + 0.745110i
\(455\) −14.2972 9.18827i −0.670264 0.430753i
\(456\) −10.9313 + 0.118481i −0.511904 + 0.00554836i
\(457\) 12.5735 + 36.3287i 0.588162 + 1.69938i 0.707663 + 0.706550i \(0.249749\pi\)
−0.119501 + 0.992834i \(0.538129\pi\)
\(458\) −13.7042 + 24.9980i −0.640355 + 1.16808i
\(459\) 5.78501 1.25810i 0.270021 0.0587233i
\(460\) −18.6626 + 9.54250i −0.870149 + 0.444921i
\(461\) −7.18444 + 6.22535i −0.334613 + 0.289944i −0.805919 0.592026i \(-0.798328\pi\)
0.471306 + 0.881970i \(0.343783\pi\)
\(462\) −8.17626 39.4075i −0.380394 1.83340i
\(463\) 0.172224 + 1.80361i 0.00800394 + 0.0838211i 0.998591 0.0530612i \(-0.0168979\pi\)
−0.990587 + 0.136882i \(0.956292\pi\)
\(464\) 9.62020 + 24.5031i 0.446607 + 1.13753i
\(465\) −7.21947 21.4086i −0.334795 0.992801i
\(466\) 2.72980 4.46175i 0.126456 0.206686i
\(467\) −6.63956 27.3686i −0.307242 1.26647i −0.890799 0.454398i \(-0.849855\pi\)
0.583557 0.812072i \(1.69834\pi\)
\(468\) −9.17814 18.6770i −0.424259 0.863346i
\(469\) −26.6222 + 12.3853i −1.22930 + 0.571900i
\(470\) 12.4591 + 5.35991i 0.574693 + 0.247234i
\(471\) −10.7977 + 0.944468i −0.497532 + 0.0435188i
\(472\) 2.38479 + 11.2333i 0.109769 + 0.517056i
\(473\) −4.91151 9.52700i −0.225831 0.438052i
\(474\) −25.7623 3.33199i −1.18330 0.153043i
\(475\) 0.664785 + 6.96194i 0.0305024 + 0.319436i
\(476\) 8.16347 + 0.416202i 0.374172 + 0.0190766i
\(477\) −27.3976 + 11.9892i −1.25445 + 0.548947i
\(478\) −13.9392 + 16.8250i −0.637566 + 0.769560i
\(479\) 12.8959 10.1415i 0.589229 0.463375i −0.278483 0.960441i \(-0.589832\pi\)
0.867713 + 0.497066i \(0.165589\pi\)
\(480\) −10.1803 8.68847i −0.464664 0.396573i
\(481\) 6.25586 + 18.0751i 0.285243 + 0.824155i
\(482\) 17.1831 25.2968i 0.782667 1.15224i
\(483\) −35.7770 31.5025i −1.62791 1.43342i
\(484\) 17.2527 + 10.0378i 0.784212 + 0.456263i
\(485\) −2.84129 2.02328i −0.129017 0.0918722i
\(486\) 1.43705 21.9985i 0.0651858 0.997873i
\(487\) −10.9569 0.521943i −0.496506 0.0236515i −0.202164 0.979352i \(-0.564797\pi\)
−0.294342 + 0.955700i \(0.595101\pi\)
\(488\) 15.7138 + 6.82238i 0.711329 + 0.308835i
\(489\) 6.54801 + 6.97762i 0.296111 + 0.315539i
\(490\) −2.39099 11.0802i −0.108014 0.500554i
\(491\) −3.49787 24.3282i −0.157857 1.09792i −0.902573 0.430537i \(-0.858324\pi\)
0.744716 0.667381i \(1.76742\pi\)
\(492\) −8.13005 5.35554i −0.366531 0.241446i
\(493\) 6.30777 4.05376i 0.284088 0.182572i
\(494\) 9.85327 4.76610i 0.443319 0.214437i
\(495\) 18.1685 + 4.71482i 0.816614 + 0.211915i
\(496\) 17.7293 33.8332i 0.796067 1.51916i
\(497\) 50.1360 + 17.3522i 2.24891 + 0.778355i
\(498\) −2.56166 + 1.36694i −0.114791 + 0.0612541i
\(499\) 8.29500 4.78912i 0.371335 0.214390i −0.302707 0.953084i \(-0.597890\pi\)
0.674042 + 0.738693i \(0.264557\pi\)
\(500\) −12.9504 + 18.0584i −0.579162 + 0.807597i
\(501\) 3.54131 6.02261i 0.158214 0.269070i
\(502\) 31.3476 + 23.5483i 1.39911 + 1.05101i
\(503\) −7.76499 + 32.0077i −0.346224 + 1.42715i 0.486605 + 0.873622i \(0.338235\pi\)
−0.832829 + 0.553531i \(0.813280\pi\)
\(504\) 9.87228 28.7926i 0.439746 1.28253i
\(505\) 15.6004 3.00674i 0.694210 0.133798i
\(506\) 49.3575 5.81784i 2.19421 0.258635i
\(507\) −1.31273 1.04934i −0.0583004 0.0466030i
\(508\) 4.83069 + 10.6719i 0.214327 + 0.473489i
\(509\) 33.4124 + 15.2589i 1.48098 + 0.676340i 0.981758 0.190136i \(-0.0608928\pi\)
0.499220 + 0.866475i \(0.333620\pi\)
\(510\) −1.85912 + 3.32818i −0.0823231 + 0.147374i
\(511\) 28.7402 + 24.9035i 1.27139 + 1.10167i
\(512\) −1.27488 22.5915i −0.0563423 0.998412i
\(513\) 11.5655 + 0.827846i 0.510627 + 0.0365503i
\(514\) 2.82310 10.4660i 0.124522 0.461636i
\(515\) −10.0605 14.1280i −0.443319 0.622554i
\(516\) 0.477117 8.09222i 0.0210039 0.356240i
\(517\) −23.2745 22.1922i −1.02361 0.976010i
\(518\) −12.2660 + 25.1438i −0.538938 + 1.10475i
\(519\) −9.65390 6.99088i −0.423759 0.306865i
\(520\) 12.9263 + 3.53308i 0.566855 + 0.154936i
\(521\) 8.45033 + 28.7792i 0.370216 + 1.26084i 0.908432 + 0.418032i \(0.137280\pi\)
−0.538217 + 0.842807i \(0.680902\pi\)
\(522\) −8.03282 26.7403i −0.351587 1.17039i
\(523\) −0.171216 + 0.888352i −0.00748674 + 0.0388449i −0.985480 0.169792i \(-0.945690\pi\)
0.977993 + 0.208637i \(0.0669026\pi\)
\(524\) −6.04012 + 11.6208i −0.263864 + 0.507655i
\(525\) −18.8865 4.74117i −0.824276 0.206922i
\(526\) −5.54927 20.8493i −0.241960 0.909075i
\(527\) −10.4392 3.06524i −0.454740 0.133524i
\(528\) 15.4632 + 27.7116i 0.672949 + 1.20599i
\(529\) 25.9572 24.7501i 1.12857 1.07609i
\(530\) 5.89425 18.3332i 0.256030 0.796343i
\(531\) −1.54147 12.0823i −0.0668940 0.524329i
\(532\) 15.1112 + 5.28662i 0.655154 + 0.229204i
\(533\) 9.64831 + 1.38722i 0.417915 + 0.0600870i
\(534\) 4.47907 + 1.47945i 0.193828 + 0.0640222i
\(535\) 18.6734i 0.807322i
\(536\) 17.0994 15.6080i 0.738582 0.674164i
\(537\) 3.76715 24.7994i 0.162565 1.07018i
\(538\) −5.72977 + 33.7292i −0.247028 + 1.45417i
\(539\) −3.82495 + 26.6031i −0.164752 + 1.14588i
\(540\) 10.0037 + 10.0719i 0.430493 + 0.433427i
\(541\) −4.15727 9.10315i −0.178735 0.391375i 0.798966 0.601376i \(-0.205381\pi\)
−0.977701 + 0.210001i \(0.932653\pi\)
\(542\) −6.86994 2.20873i −0.295089 0.0948731i
\(543\) −22.9519 32.7800i −0.984960 1.40673i
\(544\) −6.23924 + 1.61609i −0.267505 + 0.0692894i
\(545\) −5.90849 + 20.1225i −0.253092 + 0.861952i
\(546\) 3.32672 + 30.2936i 0.142370 + 1.29645i
\(547\) 1.50516 15.7628i 0.0643561 0.673967i −0.904522 0.426428i \(-0.859772\pi\)
0.968878 0.247540i \(-0.0796220\pi\)
\(548\) 19.6682 + 10.2229i 0.840182 + 0.436701i
\(549\) −16.0157 8.58180i −0.683535 0.366262i
\(550\) 16.8317 11.3511i 0.717707 0.484013i
\(551\) 14.0904 4.13732i 0.600272 0.176256i
\(552\) 34.3575 + 15.2427i 1.46235 + 0.648772i
\(553\) 33.8130 + 17.4318i 1.43787 + 0.741276i
\(554\) −17.6530 8.61178i −0.750006 0.365879i
\(555\) −7.98363 10.3199i −0.338886 0.438054i
\(556\) 13.0066 1.19816i 0.551603 0.0508135i
\(557\) −22.1066 + 15.7420i −0.936686 + 0.667011i −0.942938 0.332969i \(-0.891949\pi\)
0.00625147 + 0.999980i \(0.498010\pi\)
\(558\) −21.6910 + 34.2183i −0.918252 + 1.44858i
\(559\) 3.01652 + 7.53491i 0.127585 + 0.318693i
\(560\) 9.68644 + 17.0392i 0.409327 + 0.720038i
\(561\) 6.87810 5.86480i 0.290394 0.247612i
\(562\) 6.40115 17.0750i 0.270016 0.720266i
\(563\) −4.66360 + 10.2119i −0.196547 + 0.430379i −0.982086 0.188434i \(-0.939659\pi\)
0.785539 + 0.618813i \(0.212386\pi\)
\(564\) −6.58817 23.4120i −0.277412 0.985824i
\(565\) 2.32010 4.01853i 0.0976073 0.169061i
\(566\) −1.40059 11.8824i −0.0588712 0.499453i
\(567\) −12.9461 + 29.5751i −0.543685 + 1.24204i
\(568\) −41.8149 1.20499i −1.75452 0.0505601i
\(569\) 33.1105 + 8.03253i 1.38807 + 0.336741i 0.859059 0.511877i \(-0.171049\pi\)
0.529007 + 0.848618i \(0.322565\pi\)
\(570\) −5.33011 + 5.22851i −0.223254 + 0.218998i
\(571\) 9.86655 24.6454i 0.412902 1.03138i −0.565515 0.824738i \(-0.691322\pi\)
0.978417 0.206641i \(-0.0662533\pi\)
\(572\) −25.8200 18.5166i −1.07959 0.774219i
\(573\) −2.43628 + 0.952932i −0.101777 + 0.0398093i
\(574\) 8.52493 + 11.4277i 0.355824 + 0.476983i
\(575\) 7.86465 22.7234i 0.327979 0.947632i
\(576\) −0.622091 + 23.9919i −0.0259205 + 0.999664i
\(577\) 1.14656 + 24.0693i 0.0477320 + 1.00202i 0.887999 + 0.459845i \(0.152095\pi\)
−0.840267 + 0.542173i \(0.817602\pi\)
\(578\) −9.66934 19.9900i −0.402192 0.831476i
\(579\) −14.3770 32.1554i −0.597486 1.33633i
\(580\) 16.3293 + 7.52336i 0.678038 + 0.312390i
\(581\) 4.20884 0.605140i 0.174612 0.0251054i
\(582\) 0.386162 + 6.24288i 0.0160069 + 0.258776i
\(583\) −28.2255 + 35.8916i −1.16898 + 1.48648i
\(584\) −27.5046 11.9416i −1.13815 0.494145i
\(585\) −13.3559 4.86174i −0.552200 0.201008i
\(586\) 26.2430 + 31.8923i 1.08409 + 1.31746i
\(587\) −11.9620 + 16.7982i −0.493723 + 0.693338i −0.983988 0.178236i \(-0.942961\pi\)
0.490264 + 0.871574i \(0.336900\pi\)
\(588\) −12.7446 + 15.8348i −0.525578 + 0.653015i
\(589\) −17.9262 11.5204i −0.738635 0.474692i
\(590\) 6.48804 + 4.40705i 0.267109 + 0.181435i
\(591\) −2.76071 14.9633i −0.113561 0.615508i
\(592\) 3.28505 21.8128i 0.135015 0.896501i
\(593\) −19.9683 25.3918i −0.820000 1.04271i −0.998274 0.0587340i \(-0.981294\pi\)
0.178274 0.983981i \(-0.442949\pi\)
\(594\) −13.9295 30.6414i −0.571536 1.25723i
\(595\) 4.21922 3.65598i 0.172971 0.149880i
\(596\) −0.378019 + 7.41454i −0.0154843 + 0.303712i
\(597\) −44.3656 2.46715i −1.81576 0.100974i
\(598\) −37.6242 + 0.832767i −1.53857 + 0.0340544i
\(599\) −18.7863 + 9.68502i −0.767588 + 0.395719i −0.797102 0.603845i \(-0.793634\pi\)
0.0295136 + 0.999564i \(0.490604\pi\)
\(600\) 15.3276 0.896738i 0.625747 0.0366092i
\(601\) −2.16453 8.92233i −0.0882932 0.363949i 0.910475 0.413563i \(-0.135716\pi\)
−0.998768 + 0.0496141i \(0.984201\pi\)
\(602\) −4.69134 + 10.9050i −0.191205 + 0.444453i
\(603\) −19.4361 + 15.0079i −0.791500 + 0.611169i
\(604\) −24.4478 + 23.1555i −0.994766 + 0.942186i
\(605\) 13.2484 3.21403i 0.538625 0.130669i
\(606\) −21.7933 18.3496i −0.885294 0.745401i
\(607\) −0.100853 0.195627i −0.00409348 0.00794024i 0.886780 0.462192i \(-0.152937\pi\)
−0.890873 + 0.454252i \(0.849907\pi\)
\(608\) −12.6166 0.405745i −0.511669 0.0164551i
\(609\) −2.27030 + 40.8256i −0.0919971 + 1.65434i
\(610\) 10.9694 4.07051i 0.444137 0.164810i
\(611\) 15.9468 + 18.4036i 0.645138 + 0.744529i
\(612\) 6.73622 1.16433i 0.272295 0.0470652i
\(613\) −13.7683 + 10.8275i −0.556097 + 0.437320i −0.856243 0.516574i \(-0.827207\pi\)
0.300145 + 0.953893i \(0.402965\pi\)
\(614\) −35.2667 19.3336i −1.42325 0.780241i
\(615\) −6.53890 + 1.20642i −0.263674 + 0.0486475i
\(616\) −7.47694 45.8675i −0.301255 1.84806i
\(617\) 24.0527 37.4267i 0.968324 1.50674i 0.109809 0.993953i \(-0.464976\pi\)
0.858515 0.512789i \(-0.171388\pi\)
\(618\) −8.33831 + 29.9627i −0.335416 + 1.20528i
\(619\) 10.3542 + 7.37320i 0.416171 + 0.296354i 0.768897 0.639373i \(-0.220806\pi\)
−0.352726 + 0.935727i \(0.614745\pi\)
\(620\) −7.26629 25.0559i −0.291821 1.00627i
\(621\) −34.9893 19.1082i −1.40407 0.766785i
\(622\) 23.9373 10.2033i 0.959797 0.409114i
\(623\) −5.43001 4.27021i −0.217549 0.171082i
\(624\) −9.66142 22.0019i −0.386766 0.880780i
\(625\) −0.0701488 0.487896i −0.00280595 0.0195158i
\(626\) −0.621888 + 24.4115i −0.0248557 + 0.975681i
\(627\) 16.1615 7.22594i 0.645428 0.288576i
\(628\) −12.5035 + 0.553770i −0.498942 + 0.0220978i
\(629\) −6.27606 + 0.298965i −0.250243 + 0.0119205i
\(630\) −8.75361 18.8562i −0.348752 0.751249i
\(631\) 0.373183 + 0.129160i 0.0148562 + 0.00514178i 0.334486 0.942401i \(-0.391437\pi\)
−0.319630 + 0.947543i \(0.603559\pi\)
\(632\) −29.5549 5.12226i −1.17563 0.203753i
\(633\) −0.131895 0.337205i −0.00524235 0.0134027i
\(634\) 41.7428 + 9.15361i 1.65782 + 0.363536i
\(635\) 7.42767 + 2.97359i 0.294758 + 0.118003i
\(636\) −32.2017 + 12.4716i −1.27688 + 0.494532i
\(637\) 4.79807 19.7779i 0.190107 0.783630i
\(638\) −30.0933 30.1939i −1.19140 1.19539i
\(639\) 44.0963 + 4.91956i 1.74442 + 0.194615i
\(640\) −11.3132 10.5285i −0.447193 0.416175i
\(641\) −41.0894 23.7230i −1.62293 0.937001i −0.986130 0.165974i \(-0.946923\pi\)
−0.636803 0.771027i \(-0.719744\pi\)
\(642\) −26.0251 + 21.0703i −1.02713 + 0.831578i
\(643\) 9.47337 + 4.32634i 0.373593 + 0.170614i 0.593358 0.804939i \(-0.297802\pi\)
−0.219765 + 0.975553i \(0.570529\pi\)
\(644\) −39.7103 38.1177i −1.56481 1.50205i
\(645\) −3.59226 4.21293i −0.141445 0.165884i
\(646\) 0.590325 + 3.54674i 0.0232260 + 0.139545i
\(647\) −31.6021 + 12.6516i −1.24241 + 0.497385i −0.897401 0.441216i \(-0.854547\pi\)
−0.345006 + 0.938600i \(0.612123\pi\)
\(648\) 2.74943 25.3069i 0.108008 0.994150i
\(649\) −10.7872 15.1486i −0.423436 0.594633i
\(650\) −13.5047 + 7.34487i −0.529697 + 0.288089i
\(651\) 46.9275 36.3039i 1.83923 1.42286i
\(652\) 7.20776 + 8.37455i 0.282278 + 0.327973i
\(653\) −4.96425 + 9.62930i −0.194266 + 0.376824i −0.965770 0.259401i \(-0.916475\pi\)
0.771503 + 0.636225i \(0.219505\pi\)
\(654\) 34.7115 14.4707i 1.35733 0.565849i
\(655\) 2.52009 + 8.58265i 0.0984682 + 0.335352i
\(656\) −9.11335 6.58176i −0.355817 0.256975i
\(657\) 28.0332 + 15.0212i 1.09368 + 0.586032i
\(658\) −2.60024 + 35.5224i −0.101368 + 1.38481i
\(659\) 27.7561 + 2.65039i 1.08122 + 0.103244i 0.620429 0.784262i \(-0.286958\pi\)
0.460795 + 0.887507i \(0.347564\pi\)
\(660\) 20.7258 + 6.34073i 0.806752 + 0.246812i
\(661\) 2.71889 + 0.798338i 0.105753 + 0.0310518i 0.334181 0.942509i \(-0.391540\pi\)
−0.228428 + 0.973561i \(0.573359\pi\)
\(662\) 4.75326 + 14.9555i 0.184741 + 0.581263i
\(663\) −5.60681 + 3.92577i −0.217750 + 0.152464i
\(664\) −3.02305 + 1.44983i −0.117317 + 0.0562645i
\(665\) 9.94611 4.54224i 0.385694 0.176140i
\(666\) −5.37437 + 22.7713i −0.208253 + 0.882368i
\(667\) −49.9781 7.18576i −1.93516 0.278234i
\(668\) 4.38423 6.77216i 0.169631 0.262023i
\(669\) −0.103413 0.0157089i −0.00399819 0.000607343i
\(670\) 1.04328 15.7780i 0.0403055 0.609556i
\(671\) −27.7421 −1.07097
\(672\) 12.8177 32.7263i 0.494455 1.26244i
\(673\) −0.699495 + 4.86509i −0.0269635 + 0.187536i −0.998852 0.0479070i \(-0.984745\pi\)
0.971888 + 0.235443i \(0.0756540\pi\)
\(674\) −1.65363 23.6763i −0.0636956 0.911978i
\(675\) −16.2805 0.388485i −0.626639 0.0149528i
\(676\) −1.46234 1.27570i −0.0562438 0.0490653i
\(677\) −7.29755 7.65345i −0.280468 0.294146i 0.568399 0.822753i \(-0.307563\pi\)
−0.848867 + 0.528607i \(0.822714\pi\)
\(678\) −8.21851 + 1.30082i −0.315630 + 0.0499578i
\(679\) 2.58064 8.78884i 0.0990358 0.337285i
\(680\) −2.30989 + 3.74725i −0.0885802 + 0.143700i
\(681\) 4.76899 18.9974i 0.182748 0.727981i
\(682\) −4.51584 + 61.6919i −0.172921 + 2.36231i
\(683\) 16.4084 + 3.16245i 0.627848 + 0.121008i 0.493243 0.869891i \(-0.335811\pi\)
0.134605 + 0.990899i \(0.457023\pi\)
\(684\) 13.3012 + 1.52893i 0.508585 + 0.0584600i
\(685\) 14.5262 4.26526i 0.555016 0.162967i
\(686\) −4.90964 + 2.98135i −0.187451 + 0.113828i
\(687\) 20.4783 28.2790i 0.781294 1.07891i
\(688\) 0.951969 9.31178i 0.0362935 0.355008i
\(689\) 23.8596 25.0233i 0.908979 0.953310i
\(690\) 24.1382 8.73944i 0.918925 0.332705i
\(691\) −25.7204 + 18.3154i −0.978449 + 0.696751i −0.953014 0.302926i \(-0.902037\pi\)
−0.0254352 + 0.999676i \(0.508097\pi\)
\(692\) −10.7902 8.54396i −0.410181 0.324792i
\(693\) 3.90451 + 49.1371i 0.148320 + 1.86656i
\(694\) −4.17123 25.0612i −0.158338 0.951311i
\(695\) 5.84204 6.74207i 0.221601 0.255741i
\(696\) −7.94003 31.2472i −0.300966 1.18442i
\(697\) −1.33017 + 2.91266i −0.0503837 + 0.110325i
\(698\) 6.19072 + 5.64664i 0.234322 + 0.213729i
\(699\) −3.99993 + 5.00391i −0.151291 + 0.189265i
\(700\) −21.5529 6.40675i −0.814622 0.242153i
\(701\) −4.63899 24.0694i −0.175212 0.909087i −0.957993 0.286790i \(-0.907412\pi\)
0.782781 0.622297i \(-0.213800\pi\)
\(702\) 8.29448 + 24.0999i 0.313055 + 0.909593i
\(703\) −11.9590 2.90122i −0.451042 0.109422i
\(704\) 16.4638 + 32.7364i 0.620502 + 1.23380i
\(705\) −14.3193 8.41978i −0.539296 0.317107i
\(706\) −2.97730 0.652881i −0.112052 0.0245715i
\(707\) 20.8608 + 36.1320i 0.784553 + 1.35889i
\(708\) −1.17874 14.0151i −0.0442999 0.526719i
\(709\) −2.15479 + 6.22586i −0.0809248 + 0.233817i −0.978204 0.207647i \(-0.933419\pi\)
0.897279 + 0.441464i \(0.145541\pi\)
\(710\) −21.1733 + 19.1833i −0.794620 + 0.719938i
\(711\) 30.7950 + 7.99146i 1.15490 + 0.299703i
\(712\) 5.09379 + 1.92901i 0.190898 + 0.0722926i
\(713\) 39.6104 + 61.6350i 1.48342 + 2.30825i
\(714\) −9.85611 1.75507i −0.368856 0.0656817i
\(715\) −21.4800 + 3.08836i −0.803307 + 0.115498i
\(716\) 5.57650 28.4225i 0.208404 1.06220i
\(717\) 19.5131 18.3116i 0.728729 0.683861i
\(718\) −41.7533 + 17.7974i −1.55822 + 0.664191i
\(719\) 1.51126 31.7252i 0.0563604 1.18315i −0.776664 0.629915i \(-0.783090\pi\)
0.833025 0.553236i \(-0.186607\pi\)
\(720\) 11.0409 + 12.1157i 0.411469 + 0.451527i
\(721\) 26.4195 37.1011i 0.983915 1.38172i
\(722\) 2.38684 19.6839i 0.0888289 0.732558i
\(723\) −24.7513 + 28.1097i −0.920511 + 1.04541i
\(724\) −24.8515 38.9551i −0.923598 1.44775i
\(725\) −19.4910 + 6.74591i −0.723879 + 0.250537i
\(726\) −19.4283 14.8377i −0.721053 0.550678i
\(727\) 20.8893 + 26.5629i 0.774742 + 0.985164i 0.999941 + 0.0108514i \(0.00345417\pi\)
−0.225200 + 0.974313i \(0.572303\pi\)
\(728\) 2.33459 + 35.1128i 0.0865258 + 1.30137i
\(729\) −5.11283 + 26.5115i −0.189364 + 0.981907i
\(730\) −19.2003 + 7.12483i −0.710634 + 0.263702i
\(731\) −2.65410 + 0.253436i −0.0981654 + 0.00937365i
\(732\) −18.0504 10.6950i −0.667163 0.395298i
\(733\) −6.39414 + 3.29641i −0.236173 + 0.121756i −0.572251 0.820078i \(-0.693930\pi\)
0.336078 + 0.941834i \(0.390899\pi\)
\(734\) −21.3021 + 34.8174i −0.786275 + 1.28513i
\(735\) 1.20970 + 13.8300i 0.0446206 + 0.510128i
\(736\) 38.8796 + 19.2894i 1.43312 + 0.711015i
\(737\) −15.3343 + 34.2130i −0.564845 + 1.26025i
\(738\) 9.05960 + 7.75197i 0.333488 + 0.285354i
\(739\) 20.2518 4.91303i 0.744974 0.180729i 0.154734 0.987956i \(-0.450548\pi\)
0.590241 + 0.807227i \(0.299033\pi\)
\(740\) −8.69810 12.3015i −0.319748 0.452212i
\(741\) −12.7026 + 4.28359i −0.466640 + 0.157361i
\(742\) 50.5588 1.11906i 1.85607 0.0410820i
\(743\) 35.5284 3.39255i 1.30341 0.124461i 0.579851 0.814723i \(-0.303111\pi\)
0.723560 + 0.690262i \(0.242505\pi\)
\(744\) −26.7214 + 38.3991i −0.979654 + 1.40778i
\(745\) 3.32057 + 3.83215i 0.121656 + 0.140399i
\(746\) 19.6610 23.7314i 0.719841 0.868867i
\(747\) 3.32198 1.26900i 0.121545 0.0464303i
\(748\) 8.22583 6.42452i 0.300766 0.234904i
\(749\) 46.3406 16.0386i 1.69325 0.586039i
\(750\)