Properties

Label 804.2.bd.a.23.20
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 23.20
Character \(\chi\) = 804.23
Dual form 804.2.bd.a.35.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.28787 - 0.584297i) q^{2} +(-1.68798 - 0.388227i) q^{3} +(1.31719 + 1.50499i) q^{4} +(-0.837417 + 0.382435i) q^{5} +(1.94705 + 1.48627i) q^{6} +(3.05562 + 3.20464i) q^{7} +(-0.817004 - 2.70786i) q^{8} +(2.69856 + 1.31064i) q^{9} +O(q^{10})\) \(q+(-1.28787 - 0.584297i) q^{2} +(-1.68798 - 0.388227i) q^{3} +(1.31719 + 1.50499i) q^{4} +(-0.837417 + 0.382435i) q^{5} +(1.94705 + 1.48627i) q^{6} +(3.05562 + 3.20464i) q^{7} +(-0.817004 - 2.70786i) q^{8} +(2.69856 + 1.31064i) q^{9} +(1.30194 - 0.00322483i) q^{10} +(2.13552 + 0.203917i) q^{11} +(-1.63912 - 3.05177i) q^{12} +(-2.08322 - 0.401508i) q^{13} +(-2.06276 - 5.91254i) q^{14} +(1.56202 - 0.320435i) q^{15} +(-0.530004 + 3.96473i) q^{16} +(-1.63403 + 3.16958i) q^{17} +(-2.70958 - 3.26469i) q^{18} +(2.30859 - 2.42118i) q^{19} +(-1.67860 - 0.756564i) q^{20} +(-3.91370 - 6.59565i) q^{21} +(-2.63111 - 1.51039i) q^{22} +(2.93067 - 1.17326i) q^{23} +(0.327822 + 4.88800i) q^{24} +(-2.71929 + 3.13823i) q^{25} +(2.44831 + 1.73431i) q^{26} +(-4.04629 - 3.25999i) q^{27} +(-0.798121 + 8.81982i) q^{28} +(-8.62550 - 4.97993i) q^{29} +(-2.19889 - 0.500004i) q^{30} +(1.08798 + 5.64497i) q^{31} +(2.99916 - 4.79636i) q^{32} +(-3.52554 - 1.17327i) q^{33} +(3.95639 - 3.12723i) q^{34} +(-3.78440 - 1.51504i) q^{35} +(1.58202 + 5.78768i) q^{36} +(-0.0290824 - 0.0503722i) q^{37} +(-4.38785 + 1.76925i) q^{38} +(3.36056 + 1.48650i) q^{39} +(1.71975 + 1.95516i) q^{40} +(3.16113 - 0.150583i) q^{41} +(1.18650 + 10.7811i) q^{42} +(2.25726 + 3.51237i) q^{43} +(2.50599 + 3.48253i) q^{44} +(-2.76105 - 0.0655280i) q^{45} +(-4.45984 - 0.201378i) q^{46} +(-0.135786 - 0.106783i) q^{47} +(2.43385 - 6.48663i) q^{48} +(-0.599845 + 12.5923i) q^{49} +(5.33574 - 2.45274i) q^{50} +(3.98873 - 4.71581i) q^{51} +(-2.13974 - 3.66410i) q^{52} +(-5.17743 + 8.05623i) q^{53} +(3.30627 + 6.56267i) q^{54} +(-1.86630 + 0.645933i) q^{55} +(6.18127 - 10.8924i) q^{56} +(-4.83683 + 3.19065i) q^{57} +(8.19872 + 11.4533i) q^{58} +(8.26955 + 9.54357i) q^{59} +(2.53973 + 1.92875i) q^{60} +(11.0474 - 1.05490i) q^{61} +(1.89717 - 7.90567i) q^{62} +(4.04564 + 12.6527i) q^{63} +(-6.66501 + 4.42466i) q^{64} +(1.89807 - 0.460468i) q^{65} +(3.85488 + 3.57098i) q^{66} +(-6.69669 - 4.70684i) q^{67} +(-6.92252 + 1.71574i) q^{68} +(-5.40241 + 0.842680i) q^{69} +(3.98856 + 4.16239i) q^{70} +(1.27422 - 0.656908i) q^{71} +(1.34430 - 8.37812i) q^{72} +(-0.405416 + 0.0387126i) q^{73} +(0.00802186 + 0.0818653i) q^{74} +(5.80846 - 4.24157i) q^{75} +(6.68473 + 0.285250i) q^{76} +(5.87185 + 7.46666i) q^{77} +(-3.45939 - 3.87798i) q^{78} +(-2.72312 + 0.942482i) q^{79} +(-1.07242 - 3.52282i) q^{80} +(5.56444 + 7.07368i) q^{81} +(-4.15909 - 1.65311i) q^{82} +(-5.41507 + 7.60441i) q^{83} +(4.77131 - 14.5778i) q^{84} +(0.156206 - 3.27917i) q^{85} +(-0.854781 - 5.84237i) q^{86} +(12.6263 + 11.7547i) q^{87} +(-1.19255 - 5.94928i) q^{88} +(-5.56546 + 0.800192i) q^{89} +(3.51758 + 1.69767i) q^{90} +(-5.07885 - 7.90284i) q^{91} +(5.62601 + 2.86522i) q^{92} +(0.355045 - 9.95099i) q^{93} +(0.112481 + 0.216862i) q^{94} +(-1.00731 + 2.91043i) q^{95} +(-6.92460 + 6.93181i) q^{96} +(-2.40390 - 4.16367i) q^{97} +(8.13016 - 15.8667i) q^{98} +(5.49555 + 3.34918i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28787 0.584297i −0.910658 0.413161i
\(3\) −1.68798 0.388227i −0.974556 0.224143i
\(4\) 1.31719 + 1.50499i 0.658597 + 0.752496i
\(5\) −0.837417 + 0.382435i −0.374504 + 0.171030i −0.593770 0.804635i \(-0.702361\pi\)
0.219266 + 0.975665i \(0.429634\pi\)
\(6\) 1.94705 + 1.48627i 0.794880 + 0.606766i
\(7\) 3.05562 + 3.20464i 1.15492 + 1.21124i 0.973709 + 0.227797i \(0.0731522\pi\)
0.181208 + 0.983445i \(0.441999\pi\)
\(8\) −0.817004 2.70786i −0.288855 0.957373i
\(9\) 2.69856 + 1.31064i 0.899520 + 0.436880i
\(10\) 1.30194 0.00322483i 0.411708 0.00101978i
\(11\) 2.13552 + 0.203917i 0.643882 + 0.0614833i 0.411889 0.911234i \(-0.364869\pi\)
0.231993 + 0.972717i \(0.425475\pi\)
\(12\) −1.63912 3.05177i −0.473173 0.880970i
\(13\) −2.08322 0.401508i −0.577782 0.111358i −0.108015 0.994149i \(-0.534450\pi\)
−0.469766 + 0.882791i \(0.655662\pi\)
\(14\) −2.06276 5.91254i −0.551297 1.58019i
\(15\) 1.56202 0.320435i 0.403311 0.0827361i
\(16\) −0.530004 + 3.96473i −0.132501 + 0.991183i
\(17\) −1.63403 + 3.16958i −0.396311 + 0.768735i −0.999585 0.0287983i \(-0.990832\pi\)
0.603275 + 0.797533i \(0.293862\pi\)
\(18\) −2.70958 3.26469i −0.638653 0.769495i
\(19\) 2.30859 2.42118i 0.529628 0.555458i −0.403511 0.914975i \(-0.632210\pi\)
0.933138 + 0.359517i \(0.117059\pi\)
\(20\) −1.67860 0.756564i −0.375347 0.169173i
\(21\) −3.91370 6.59565i −0.854040 1.43929i
\(22\) −2.63111 1.51039i −0.560954 0.322017i
\(23\) 2.93067 1.17326i 0.611087 0.244642i −0.0454129 0.998968i \(-0.514460\pi\)
0.656500 + 0.754326i \(0.272036\pi\)
\(24\) 0.327822 + 4.88800i 0.0669164 + 0.997759i
\(25\) −2.71929 + 3.13823i −0.543859 + 0.627647i
\(26\) 2.44831 + 1.73431i 0.480153 + 0.340126i
\(27\) −4.04629 3.25999i −0.778709 0.627386i
\(28\) −0.798121 + 8.81982i −0.150831 + 1.66679i
\(29\) −8.62550 4.97993i −1.60171 0.924750i −0.991144 0.132788i \(-0.957607\pi\)
−0.610570 0.791962i \(-0.709060\pi\)
\(30\) −2.19889 0.500004i −0.401461 0.0912877i
\(31\) 1.08798 + 5.64497i 0.195407 + 1.01387i 0.938657 + 0.344853i \(0.112071\pi\)
−0.743250 + 0.669014i \(0.766717\pi\)
\(32\) 2.99916 4.79636i 0.530181 0.847885i
\(33\) −3.52554 1.17327i −0.613718 0.204241i
\(34\) 3.95639 3.12723i 0.678515 0.536315i
\(35\) −3.78440 1.51504i −0.639680 0.256089i
\(36\) 1.58202 + 5.78768i 0.263670 + 0.964613i
\(37\) −0.0290824 0.0503722i −0.00478111 0.00828113i 0.863625 0.504135i \(-0.168189\pi\)
−0.868406 + 0.495854i \(0.834855\pi\)
\(38\) −4.38785 + 1.76925i −0.711803 + 0.287011i
\(39\) 3.36056 + 1.48650i 0.538120 + 0.238031i
\(40\) 1.71975 + 1.95516i 0.271917 + 0.309137i
\(41\) 3.16113 0.150583i 0.493685 0.0235171i 0.200736 0.979645i \(-0.435667\pi\)
0.292949 + 0.956128i \(0.405363\pi\)
\(42\) 1.18650 + 10.7811i 0.183080 + 1.66356i
\(43\) 2.25726 + 3.51237i 0.344229 + 0.535631i 0.969600 0.244697i \(-0.0786885\pi\)
−0.625370 + 0.780328i \(0.715052\pi\)
\(44\) 2.50599 + 3.48253i 0.377793 + 0.525012i
\(45\) −2.76105 0.0655280i −0.411594 0.00976834i
\(46\) −4.45984 0.201378i −0.657568 0.0296916i
\(47\) −0.135786 0.106783i −0.0198064 0.0155760i 0.608207 0.793779i \(-0.291889\pi\)
−0.628013 + 0.778203i \(0.716132\pi\)
\(48\) 2.43385 6.48663i 0.351297 0.936264i
\(49\) −0.599845 + 12.5923i −0.0856921 + 1.79890i
\(50\) 5.33574 2.45274i 0.754588 0.346870i
\(51\) 3.98873 4.71581i 0.558534 0.660345i
\(52\) −2.13974 3.66410i −0.296728 0.508119i
\(53\) −5.17743 + 8.05623i −0.711174 + 1.10661i 0.278102 + 0.960552i \(0.410295\pi\)
−0.989276 + 0.146057i \(0.953342\pi\)
\(54\) 3.30627 + 6.56267i 0.449926 + 0.893066i
\(55\) −1.86630 + 0.645933i −0.251652 + 0.0870976i
\(56\) 6.18127 10.8924i 0.826007 1.45556i
\(57\) −4.83683 + 3.19065i −0.640654 + 0.422612i
\(58\) 8.19872 + 11.4533i 1.07654 + 1.50390i
\(59\) 8.26955 + 9.54357i 1.07660 + 1.24247i 0.968681 + 0.248307i \(0.0798742\pi\)
0.107922 + 0.994159i \(0.465580\pi\)
\(60\) 2.53973 + 1.92875i 0.327878 + 0.249000i
\(61\) 11.0474 1.05490i 1.41448 0.135066i 0.640343 0.768089i \(-0.278792\pi\)
0.774133 + 0.633023i \(0.218186\pi\)
\(62\) 1.89717 7.90567i 0.240941 1.00402i
\(63\) 4.04564 + 12.6527i 0.509703 + 1.59410i
\(64\) −6.66501 + 4.42466i −0.833126 + 0.553083i
\(65\) 1.89807 0.460468i 0.235427 0.0571140i
\(66\) 3.85488 + 3.57098i 0.474503 + 0.439558i
\(67\) −6.69669 4.70684i −0.818131 0.575032i
\(68\) −6.92252 + 1.71574i −0.839479 + 0.208064i
\(69\) −5.40241 + 0.842680i −0.650374 + 0.101447i
\(70\) 3.98856 + 4.16239i 0.476724 + 0.497500i
\(71\) 1.27422 0.656908i 0.151223 0.0779607i −0.380954 0.924594i \(-0.624404\pi\)
0.532177 + 0.846633i \(0.321374\pi\)
\(72\) 1.34430 8.37812i 0.158427 0.987371i
\(73\) −0.405416 + 0.0387126i −0.0474504 + 0.00453096i −0.118754 0.992924i \(-0.537890\pi\)
0.0713038 + 0.997455i \(0.477284\pi\)
\(74\) 0.00802186 + 0.0818653i 0.000932523 + 0.00951665i
\(75\) 5.80846 4.24157i 0.670704 0.489775i
\(76\) 6.68473 + 0.285250i 0.766791 + 0.0327204i
\(77\) 5.87185 + 7.46666i 0.669159 + 0.850905i
\(78\) −3.45939 3.87798i −0.391699 0.439095i
\(79\) −2.72312 + 0.942482i −0.306375 + 0.106038i −0.475930 0.879483i \(-0.657888\pi\)
0.169554 + 0.985521i \(0.445767\pi\)
\(80\) −1.07242 3.52282i −0.119900 0.393864i
\(81\) 5.56444 + 7.07368i 0.618271 + 0.785965i
\(82\) −4.15909 1.65311i −0.459295 0.182555i
\(83\) −5.41507 + 7.60441i −0.594381 + 0.834692i −0.996731 0.0807943i \(-0.974254\pi\)
0.402349 + 0.915486i \(0.368194\pi\)
\(84\) 4.77131 14.5778i 0.520593 1.59057i
\(85\) 0.156206 3.27917i 0.0169429 0.355676i
\(86\) −0.854781 5.84237i −0.0921734 0.629999i
\(87\) 12.6263 + 11.7547i 1.35368 + 1.26023i
\(88\) −1.19255 5.94928i −0.127126 0.634195i
\(89\) −5.56546 + 0.800192i −0.589938 + 0.0848202i −0.430818 0.902439i \(-0.641775\pi\)
−0.159120 + 0.987259i \(0.550866\pi\)
\(90\) 3.51758 + 1.69767i 0.370785 + 0.178950i
\(91\) −5.07885 7.90284i −0.532408 0.828443i
\(92\) 5.62601 + 2.86522i 0.586552 + 0.298720i
\(93\) 0.355045 9.95099i 0.0368164 1.03187i
\(94\) 0.112481 + 0.216862i 0.0116015 + 0.0223676i
\(95\) −1.00731 + 2.91043i −0.103348 + 0.298604i
\(96\) −6.92460 + 6.93181i −0.706739 + 0.707475i
\(97\) −2.40390 4.16367i −0.244079 0.422757i 0.717793 0.696256i \(-0.245152\pi\)
−0.961872 + 0.273499i \(0.911819\pi\)
\(98\) 8.13016 15.8667i 0.821270 1.60278i
\(99\) 5.49555 + 3.34918i 0.552324 + 0.336605i
\(100\) −8.30485 + 0.0411416i −0.830485 + 0.00411416i
\(101\) 17.6548 + 4.28301i 1.75672 + 0.426175i 0.979235 0.202729i \(-0.0649810\pi\)
0.777483 + 0.628904i \(0.216496\pi\)
\(102\) −7.89238 + 3.74272i −0.781462 + 0.370585i
\(103\) 0.293281 + 1.52169i 0.0288979 + 0.149936i 0.993512 0.113731i \(-0.0362801\pi\)
−0.964614 + 0.263667i \(0.915068\pi\)
\(104\) 0.614773 + 5.96910i 0.0602834 + 0.585319i
\(105\) 5.79981 + 4.02657i 0.566003 + 0.392953i
\(106\) 11.3751 7.35018i 1.10484 0.713913i
\(107\) −7.66719 + 16.7888i −0.741215 + 1.62304i 0.0403295 + 0.999186i \(0.487159\pi\)
−0.781545 + 0.623849i \(0.785568\pi\)
\(108\) −0.423483 10.3837i −0.0407497 0.999169i
\(109\) −5.08438 + 5.86769i −0.486995 + 0.562023i −0.945060 0.326896i \(-0.893997\pi\)
0.458065 + 0.888919i \(0.348543\pi\)
\(110\) 2.78096 + 0.258600i 0.265154 + 0.0246566i
\(111\) 0.0295347 + 0.0963178i 0.00280331 + 0.00914208i
\(112\) −14.3250 + 10.4162i −1.35359 + 0.984243i
\(113\) −13.6754 + 9.73823i −1.28648 + 0.916096i −0.999129 0.0417304i \(-0.986713\pi\)
−0.287348 + 0.957826i \(0.592774\pi\)
\(114\) 8.09348 1.28298i 0.758024 0.120162i
\(115\) −2.00550 + 2.10330i −0.187013 + 0.196134i
\(116\) −3.86668 19.5408i −0.359013 1.81432i
\(117\) −5.09546 3.81385i −0.471076 0.352590i
\(118\) −5.07378 17.1227i −0.467079 1.57627i
\(119\) −15.1503 + 4.44854i −1.38883 + 0.407797i
\(120\) −2.14387 3.96792i −0.195707 0.362220i
\(121\) −6.28237 1.21083i −0.571125 0.110075i
\(122\) −14.8440 5.09641i −1.34391 0.461407i
\(123\) −5.39438 0.973055i −0.486395 0.0877374i
\(124\) −7.06256 + 9.07292i −0.634237 + 0.814772i
\(125\) 2.37384 8.08456i 0.212323 0.723105i
\(126\) 2.18273 18.6589i 0.194453 1.66227i
\(127\) 5.84447 + 6.12951i 0.518613 + 0.543906i 0.930002 0.367554i \(-0.119805\pi\)
−0.411389 + 0.911460i \(0.634956\pi\)
\(128\) 11.1690 1.80402i 0.987205 0.159455i
\(129\) −2.44662 6.80514i −0.215413 0.599159i
\(130\) −2.71351 0.516019i −0.237991 0.0452579i
\(131\) −1.87240 + 13.0229i −0.163593 + 1.13781i 0.728199 + 0.685366i \(0.240358\pi\)
−0.891791 + 0.452447i \(0.850551\pi\)
\(132\) −2.87805 6.85134i −0.250502 0.596333i
\(133\) 14.8132 1.28447
\(134\) 5.87423 + 9.97464i 0.507457 + 0.861677i
\(135\) 4.63517 + 1.18253i 0.398932 + 0.101776i
\(136\) 9.91778 + 1.83517i 0.850442 + 0.157364i
\(137\) 2.19601 + 0.315739i 0.187618 + 0.0269754i 0.235483 0.971878i \(-0.424333\pi\)
−0.0478653 + 0.998854i \(0.515242\pi\)
\(138\) 7.44995 + 2.07136i 0.634182 + 0.176326i
\(139\) 15.8148 7.22237i 1.34139 0.612593i 0.390068 0.920786i \(-0.372451\pi\)
0.951324 + 0.308193i \(0.0997241\pi\)
\(140\) −2.70465 7.69110i −0.228585 0.650016i
\(141\) 0.187748 + 0.232964i 0.0158112 + 0.0196191i
\(142\) −2.02486 + 0.101483i −0.169922 + 0.00851630i
\(143\) −4.36688 1.28223i −0.365177 0.107226i
\(144\) −6.62659 + 10.0044i −0.552216 + 0.833701i
\(145\) 9.12764 + 0.871584i 0.758009 + 0.0723811i
\(146\) 0.544741 + 0.187027i 0.0450831 + 0.0154785i
\(147\) 5.90120 21.0227i 0.486723 1.73392i
\(148\) 0.0375026 0.110119i 0.00308270 0.00905170i
\(149\) −2.16762 7.38224i −0.177579 0.604777i −0.999387 0.0350129i \(-0.988853\pi\)
0.821808 0.569764i \(-0.192965\pi\)
\(150\) −9.95886 + 2.06870i −0.813137 + 0.168909i
\(151\) 3.58101 6.94618i 0.291418 0.565272i −0.696992 0.717079i \(-0.745479\pi\)
0.988410 + 0.151806i \(0.0485091\pi\)
\(152\) −8.44236 4.27323i −0.684766 0.346605i
\(153\) −8.56370 + 6.41166i −0.692334 + 0.518352i
\(154\) −3.19940 13.0470i −0.257815 1.05135i
\(155\) −3.06993 4.31111i −0.246583 0.346277i
\(156\) 2.18933 + 7.01563i 0.175287 + 0.561700i
\(157\) 3.76585 1.50762i 0.300547 0.120321i −0.216487 0.976285i \(-0.569460\pi\)
0.517035 + 0.855964i \(0.327036\pi\)
\(158\) 4.05771 + 0.377324i 0.322814 + 0.0300183i
\(159\) 11.8670 11.5887i 0.941118 0.919047i
\(160\) −0.677246 + 5.16353i −0.0535410 + 0.408213i
\(161\) 12.7149 + 5.80671i 1.00208 + 0.457633i
\(162\) −3.03312 12.3612i −0.238304 0.971191i
\(163\) −19.9812 11.5361i −1.56505 0.903581i −0.996733 0.0807700i \(-0.974262\pi\)
−0.568315 0.822811i \(1.30760\pi\)
\(164\) 4.39044 + 4.55912i 0.342836 + 0.356008i
\(165\) 3.40105 0.365774i 0.264771 0.0284754i
\(166\) 11.4171 6.62944i 0.886140 0.514544i
\(167\) −1.21258 + 4.99832i −0.0938322 + 0.386782i −0.999291 0.0376528i \(-0.988012\pi\)
0.905459 + 0.424434i \(0.139527\pi\)
\(168\) −14.6626 + 15.9864i −1.13124 + 1.23338i
\(169\) −7.89018 3.15875i −0.606937 0.242981i
\(170\) −2.11718 + 4.13185i −0.162380 + 0.316899i
\(171\) 9.40318 3.50797i 0.719079 0.268261i
\(172\) −2.31284 + 8.02363i −0.176352 + 0.611796i
\(173\) −12.3934 4.28941i −0.942255 0.326118i −0.187604 0.982245i \(-0.560072\pi\)
−0.754650 + 0.656127i \(0.772194\pi\)
\(174\) −9.39278 22.5160i −0.712064 1.70693i
\(175\) −18.3661 + 0.874883i −1.38834 + 0.0661349i
\(176\) −1.94031 + 8.35867i −0.146256 + 0.630058i
\(177\) −10.2538 19.3198i −0.770720 1.45217i
\(178\) 7.63511 + 2.22134i 0.572276 + 0.166497i
\(179\) −1.42746 9.92822i −0.106694 0.742070i −0.970996 0.239097i \(-0.923149\pi\)
0.864302 0.502973i \(1.83224\pi\)
\(180\) −3.53822 4.24168i −0.263723 0.316156i
\(181\) 6.29770 + 4.95256i 0.468104 + 0.368121i 0.824173 0.566339i \(-0.191641\pi\)
−0.356068 + 0.934460i \(0.615883\pi\)
\(182\) 1.92326 + 13.1453i 0.142562 + 0.974398i
\(183\) −19.0574 2.50826i −1.40876 0.185416i
\(184\) −5.57140 6.97729i −0.410729 0.514372i
\(185\) 0.0436182 + 0.0310604i 0.00320687 + 0.00228360i
\(186\) −6.27159 + 12.6081i −0.459855 + 0.924469i
\(187\) −4.13583 + 6.43547i −0.302442 + 0.470608i
\(188\) −0.0181484 0.345011i −0.00132361 0.0251625i
\(189\) −1.91682 22.9282i −0.139428 1.66778i
\(190\) 2.99783 3.15967i 0.217486 0.229227i
\(191\) −2.06206 + 1.62162i −0.149205 + 0.117336i −0.689971 0.723837i \(-0.742377\pi\)
0.540766 + 0.841173i \(0.318134\pi\)
\(192\) 12.9682 4.88121i 0.935898 0.352271i
\(193\) 1.33074 + 1.53576i 0.0957890 + 0.110546i 0.801620 0.597834i \(-0.203972\pi\)
−0.705831 + 0.708380i \(0.749426\pi\)
\(194\) 0.663073 + 6.76684i 0.0476059 + 0.485831i
\(195\) −3.38268 + 0.0403765i −0.242239 + 0.00289142i
\(196\) −19.7414 + 15.6837i −1.41010 + 1.12027i
\(197\) 6.64729 + 12.8939i 0.473600 + 0.918655i 0.997751 + 0.0670299i \(0.0213523\pi\)
−0.524151 + 0.851625i \(0.675617\pi\)
\(198\) −5.12062 7.52432i −0.363906 0.534730i
\(199\) −4.74106 + 1.15017i −0.336085 + 0.0815333i −0.400250 0.916406i \(-0.631077\pi\)
0.0641652 + 0.997939i \(0.479562\pi\)
\(200\) 10.7196 + 4.79952i 0.757988 + 0.339377i
\(201\) 9.47655 + 10.5449i 0.668425 + 0.743780i
\(202\) −20.2344 15.8316i −1.42369 1.11391i
\(203\) −10.3973 42.8584i −0.729751 3.00807i
\(204\) 12.3512 0.208626i 0.864756 0.0146067i
\(205\) −2.58959 + 1.33503i −0.180865 + 0.0932423i
\(206\) 0.511411 2.13109i 0.0356317 0.148480i
\(207\) 9.44632 + 0.674936i 0.656564 + 0.0469113i
\(208\) 2.69599 8.04661i 0.186933 0.557932i
\(209\) 5.42376 4.69972i 0.375169 0.325086i
\(210\) −5.11666 8.57450i −0.353083 0.591696i
\(211\) −6.46561 8.22170i −0.445111 0.566005i 0.510785 0.859708i \(-0.329355\pi\)
−0.955897 + 0.293703i \(0.905112\pi\)
\(212\) −18.9442 + 2.81963i −1.30110 + 0.193653i
\(213\) −2.40590 + 0.614160i −0.164849 + 0.0420816i
\(214\) 19.6840 17.1418i 1.34557 1.17179i
\(215\) −3.23352 2.07806i −0.220524 0.141722i
\(216\) −5.52176 + 13.6202i −0.375708 + 0.926738i
\(217\) −14.7657 + 20.7355i −1.00236 + 1.40762i
\(218\) 9.97647 4.58600i 0.675692 0.310603i
\(219\) 0.699364 + 0.0920477i 0.0472587 + 0.00622000i
\(220\) −3.43040 1.95795i −0.231278 0.132005i
\(221\) 4.67666 5.94685i 0.314586 0.400029i
\(222\) 0.0182416 0.141301i 0.00122430 0.00948353i
\(223\) 24.8510 3.57303i 1.66415 0.239268i 0.754994 0.655732i \(-0.227640\pi\)
0.909152 + 0.416464i \(0.136731\pi\)
\(224\) 24.5349 5.04463i 1.63931 0.337059i
\(225\) −11.4513 + 4.90469i −0.763418 + 0.326979i
\(226\) 23.3021 4.55101i 1.55004 0.302729i
\(227\) −1.11161 23.3356i −0.0737802 1.54884i −0.667772 0.744366i \(-0.732752\pi\)
0.593991 0.804471i \(1.70245\pi\)
\(228\) −11.1730 3.07669i −0.739947 0.203759i
\(229\) −4.02184 + 11.6203i −0.265770 + 0.767893i 0.730603 + 0.682803i \(0.239239\pi\)
−0.996373 + 0.0850904i \(0.972882\pi\)
\(230\) 3.81176 1.53696i 0.251340 0.101344i
\(231\) −7.01280 14.8832i −0.461409 0.979242i
\(232\) −6.43789 + 27.4253i −0.422668 + 1.80056i
\(233\) −4.08281 + 10.1984i −0.267474 + 0.668118i −0.999919 0.0127081i \(-0.995955\pi\)
0.732445 + 0.680826i \(0.238379\pi\)
\(234\) 4.33385 + 7.88899i 0.283312 + 0.515719i
\(235\) 0.154547 + 0.0374928i 0.0100816 + 0.00244576i
\(236\) −3.47040 + 25.0163i −0.225904 + 1.62842i
\(237\) 4.96248 0.533701i 0.322348 0.0346676i
\(238\) 22.1109 + 3.12318i 1.43323 + 0.202446i
\(239\) 1.81227 3.13895i 0.117226 0.203041i −0.801441 0.598073i \(-0.795933\pi\)
0.918667 + 0.395032i \(0.129266\pi\)
\(240\) 0.442566 + 6.36280i 0.0285675 + 0.410717i
\(241\) 8.26298 18.0934i 0.532265 1.16550i −0.432318 0.901721i \(-0.642304\pi\)
0.964584 0.263778i \(-0.0849685\pi\)
\(242\) 7.38336 + 5.23016i 0.474621 + 0.336207i
\(243\) −6.64647 14.1005i −0.426371 0.904548i
\(244\) 16.1392 + 15.2368i 1.03321 + 0.975434i
\(245\) −4.31342 10.7744i −0.275574 0.688351i
\(246\) 6.37868 + 4.40509i 0.406690 + 0.280858i
\(247\) −5.78144 + 4.11694i −0.367864 + 0.261955i
\(248\) 14.3969 7.55806i 0.914205 0.479937i
\(249\) 12.0928 10.7338i 0.766349 0.680228i
\(250\) −7.78097 + 9.02479i −0.492112 + 0.570778i
\(251\) 13.6185 + 7.02080i 0.859589 + 0.443149i 0.830888 0.556439i \(-0.187833\pi\)
0.0287006 + 0.999588i \(0.490863\pi\)
\(252\) −13.7134 + 22.7548i −0.863863 + 1.43342i
\(253\) 6.49774 1.90791i 0.408510 0.119949i
\(254\) −3.94544 11.3089i −0.247559 0.709583i
\(255\) −1.53673 + 5.47453i −0.0962341 + 0.342828i
\(256\) −15.4382 4.20265i −0.964887 0.262666i
\(257\) −2.53463 + 26.5438i −0.158106 + 1.65576i 0.473742 + 0.880664i \(0.342903\pi\)
−0.631847 + 0.775093i \(0.717703\pi\)
\(258\) −0.825313 + 10.1937i −0.0513817 + 0.634629i
\(259\) 0.0725601 0.247117i 0.00450866 0.0153551i
\(260\) 3.19313 + 2.25006i 0.198030 + 0.139543i
\(261\) −16.7495 24.7436i −1.03677 1.53159i
\(262\) 10.0206 15.6776i 0.619076 0.968568i
\(263\) 3.10981 + 6.80953i 0.191759 + 0.419894i 0.980952 0.194252i \(-0.0622280\pi\)
−0.789193 + 0.614146i \(0.789501\pi\)
\(264\) −0.296677 + 10.5052i −0.0182592 + 0.646553i
\(265\) 1.25467 8.72645i 0.0770740 0.536062i
\(266\) −19.0774 8.65533i −1.16971 0.530692i
\(267\) 9.70505 + 0.809955i 0.593939 + 0.0495684i
\(268\) −1.73707 16.2783i −0.106108 0.994355i
\(269\) 9.70930i 0.591987i 0.955190 + 0.295993i \(0.0956506\pi\)
−0.955190 + 0.295993i \(0.904349\pi\)
\(270\) −5.27852 4.23125i −0.321241 0.257506i
\(271\) 23.3389 + 3.35563i 1.41774 + 0.203840i 0.808195 0.588915i \(-0.200445\pi\)
0.609541 + 0.792754i \(0.291354\pi\)
\(272\) −11.7005 8.15838i −0.709446 0.494674i
\(273\) 5.50490 + 15.3116i 0.333171 + 0.926699i
\(274\) −2.64368 1.68975i −0.159711 0.102082i
\(275\) −6.44703 + 6.14723i −0.388771 + 0.370692i
\(276\) −8.38425 7.02061i −0.504672 0.422591i
\(277\) −9.14238 2.68444i −0.549312 0.161293i −0.00471271 0.999989i \(-0.501500\pi\)
−0.544599 + 0.838696i \(0.683318\pi\)
\(278\) −24.5873 + 0.0609015i −1.47465 + 0.00365263i
\(279\) −4.46256 + 16.6592i −0.267166 + 0.997363i
\(280\) −1.01066 + 11.4854i −0.0603984 + 0.686385i
\(281\) 4.89354 25.3901i 0.291924 1.51465i −0.479055 0.877785i \(-0.659020\pi\)
0.770979 0.636861i \(-0.219767\pi\)
\(282\) −0.105674 0.409727i −0.00629279 0.0243989i
\(283\) −0.256587 0.873855i −0.0152525 0.0519453i 0.951515 0.307602i \(-0.0995265\pi\)
−0.966768 + 0.255657i \(0.917708\pi\)
\(284\) 2.66704 + 1.05242i 0.158260 + 0.0624498i
\(285\) 2.83023 4.52168i 0.167648 0.267841i
\(286\) 4.87474 + 4.20289i 0.288250 + 0.248522i
\(287\) 10.1418 + 9.67016i 0.598650 + 0.570812i
\(288\) 14.3797 9.01244i 0.847332 0.531063i
\(289\) 2.48481 + 3.48942i 0.146165 + 0.205260i
\(290\) −11.2459 6.45574i −0.660382 0.379094i
\(291\) 2.44128 + 7.96146i 0.143111 + 0.466709i
\(292\) −0.592274 0.559157i −0.0346602 0.0327222i
\(293\) −8.62141 7.47049i −0.503668 0.436431i 0.365600 0.930772i \(-0.380864\pi\)
−0.869268 + 0.494341i \(0.835409\pi\)
\(294\) −19.8834 + 23.6263i −1.15963 + 1.37791i
\(295\) −10.5749 4.82937i −0.615692 0.281177i
\(296\) −0.112640 + 0.119905i −0.00654709 + 0.00696935i
\(297\) −7.97615 7.78687i −0.462823 0.451840i
\(298\) −1.52182 + 10.7739i −0.0881567 + 0.624113i
\(299\) −6.57631 + 1.26748i −0.380318 + 0.0733003i
\(300\) 14.0344 + 3.15472i 0.810277 + 0.182138i
\(301\) −4.35855 + 17.9662i −0.251223 + 1.03555i
\(302\) −8.67049 + 6.85337i −0.498931 + 0.394367i
\(303\) −28.1382 14.0837i −1.61650 0.809088i
\(304\) 8.37578 + 10.4362i 0.480384 + 0.598557i
\(305\) −8.84786 + 5.10831i −0.506627 + 0.292501i
\(306\) 14.7752 3.25361i 0.844643 0.185996i
\(307\) −2.14171 0.741252i −0.122234 0.0423055i 0.265266 0.964175i \(-0.414540\pi\)
−0.387500 + 0.921870i \(0.626661\pi\)
\(308\) −3.50291 + 18.6721i −0.199597 + 1.06394i
\(309\) 0.0957076 2.68244i 0.00544462 0.152599i
\(310\) 1.43468 + 7.34588i 0.0814845 + 0.417218i
\(311\) 18.7528 12.0517i 1.06337 0.683389i 0.112715 0.993627i \(-0.464045\pi\)
0.950659 + 0.310238i \(0.100409\pi\)
\(312\) 1.27964 10.3144i 0.0724456 0.583938i
\(313\) 0.418423 + 2.91019i 0.0236506 + 0.164494i 0.998224 0.0595758i \(-0.0189748\pi\)
−0.974573 + 0.224070i \(0.928066\pi\)
\(314\) −5.73080 0.258766i −0.323408 0.0146030i
\(315\) −8.22674 9.04842i −0.463524 0.509821i
\(316\) −5.00531 2.85685i −0.281571 0.160710i
\(317\) 31.8911 + 1.51916i 1.79118 + 0.0853246i 0.916663 0.399662i \(-0.130872\pi\)
0.874522 + 0.484986i \(0.161175\pi\)
\(318\) −22.0544 + 7.99086i −1.23675 + 0.448105i
\(319\) −17.4044 12.3936i −0.974459 0.693909i
\(320\) 3.88924 6.25422i 0.217415 0.349622i
\(321\) 19.4599 25.3626i 1.08615 1.41560i
\(322\) −12.9823 14.9075i −0.723473 0.830765i
\(323\) 3.90182 + 11.2736i 0.217103 + 0.627277i
\(324\) −3.31639 + 17.6918i −0.184244 + 0.982881i
\(325\) 6.92492 5.44581i 0.384125 0.302079i
\(326\) 18.9925 + 26.5320i 1.05190 + 1.46947i
\(327\) 10.8603 7.93065i 0.600578 0.438566i
\(328\) −2.99041 8.43686i −0.165118 0.465848i
\(329\) −0.0727083 0.761436i −0.00400854 0.0419793i
\(330\) −4.59381 1.51616i −0.252881 0.0834617i
\(331\) 14.1839 + 27.5129i 0.779618 + 1.51225i 0.857040 + 0.515250i \(0.172301\pi\)
−0.0774219 + 0.996998i \(0.524669\pi\)
\(332\) −18.5773 + 1.86683i −1.01956 + 0.102455i
\(333\) −0.0124607 0.174049i −0.000682843 0.00953782i
\(334\) 4.48214 5.72865i 0.245252 0.313458i
\(335\) 7.40798 + 1.38054i 0.404741 + 0.0754269i
\(336\) 28.2243 12.0210i 1.53976 0.655802i
\(337\) 2.00913 + 8.28174i 0.109444 + 0.451135i 0.999993 0.00375270i \(-0.00119452\pi\)
−0.890549 + 0.454888i \(0.849679\pi\)
\(338\) 8.31584 + 8.67826i 0.452322 + 0.472035i
\(339\) 26.8645 11.1288i 1.45908 0.604432i
\(340\) 5.14087 4.08421i 0.278803 0.221497i
\(341\) 1.17229 + 12.2768i 0.0634831 + 0.664825i
\(342\) −14.1597 0.976461i −0.765670 0.0528010i
\(343\) −18.7619 + 16.2572i −1.01305 + 0.877809i
\(344\) 7.66681 8.98197i 0.413367 0.484275i
\(345\) 4.20180 2.77175i 0.226217 0.149226i
\(346\) 13.4548 + 12.7656i 0.723333 + 0.686284i
\(347\) 9.89175 + 28.5803i 0.531017 + 1.53427i 0.817350 + 0.576142i \(0.195443\pi\)
−0.286333 + 0.958130i \(0.592436\pi\)
\(348\) −1.05940 + 34.4857i −0.0567898 + 1.84863i
\(349\) −21.8312 14.0300i −1.16859 0.751010i −0.195339 0.980736i \(-0.562581\pi\)
−0.973255 + 0.229725i \(0.926217\pi\)
\(350\) 24.1642 + 9.60450i 1.29163 + 0.513382i
\(351\) 7.12040 + 8.41590i 0.380059 + 0.449207i
\(352\) 7.38280 9.63112i 0.393505 0.513340i
\(353\) 35.2671 + 1.67998i 1.87708 + 0.0894164i 0.954826 0.297167i \(-0.0960417\pi\)
0.922255 + 0.386583i \(0.126345\pi\)
\(354\) 1.91694 + 30.8726i 0.101884 + 1.64086i
\(355\) −0.815832 + 1.03741i −0.0432999 + 0.0550602i
\(356\) −8.53507 7.32197i −0.452358 0.388064i
\(357\) 27.3005 1.62728i 1.44490 0.0861246i
\(358\) −3.96265 + 13.6203i −0.209433 + 0.719853i
\(359\) −15.3118 + 9.84031i −0.808127 + 0.519352i −0.878259 0.478186i \(-0.841295\pi\)
0.0701313 + 0.997538i \(0.477658\pi\)
\(360\) 2.07835 + 7.53008i 0.109539 + 0.396870i
\(361\) 0.371532 + 7.79941i 0.0195543 + 0.410495i
\(362\) −5.21681 10.0580i −0.274190 0.528635i
\(363\) 10.1344 + 4.48284i 0.531920 + 0.235288i
\(364\) 5.20389 18.0532i 0.272758 0.946244i
\(365\) 0.324697 0.187464i 0.0169954 0.00981232i
\(366\) 23.0778 + 14.3655i 1.20629 + 0.750895i
\(367\) 7.57098 18.9114i 0.395202 0.987167i −0.588683 0.808364i \(-0.700353\pi\)
0.983885 0.178803i \(-0.0572225\pi\)
\(368\) 3.09841 + 12.2412i 0.161516 + 0.638115i
\(369\) 8.72785 + 3.73674i 0.454354 + 0.194527i
\(370\) −0.0380258 0.0654875i −0.00197687 0.00340453i
\(371\) −41.6376 + 8.02499i −2.16172 + 0.416637i
\(372\) 15.4438 12.5730i 0.800725 0.651882i
\(373\) 9.71542 16.8276i 0.503045 0.871300i −0.496949 0.867780i \(-0.665546\pi\)
0.999994 0.00351989i \(-0.00112042\pi\)
\(374\) 9.08662 5.87147i 0.469858 0.303606i
\(375\) −7.14564 + 12.7250i −0.368999 + 0.657116i
\(376\) −0.178217 + 0.454932i −0.00919082 + 0.0234613i
\(377\) 15.9693 + 13.8375i 0.822463 + 0.712668i
\(378\) −10.9283 + 30.6484i −0.562091 + 1.57639i
\(379\) 11.6391 + 29.0730i 0.597860 + 1.49338i 0.850582 + 0.525843i \(0.176250\pi\)
−0.252722 + 0.967539i \(0.581326\pi\)
\(380\) −5.70699 + 2.31760i −0.292763 + 0.118891i
\(381\) −7.48572 12.6155i −0.383505 0.646311i
\(382\) 3.60317 0.883574i 0.184354 0.0452076i
\(383\) −12.7515 12.1586i −0.651574 0.621274i 0.290422 0.956899i \(-0.406204\pi\)
−0.941996 + 0.335624i \(0.891053\pi\)
\(384\) −19.5533 1.29093i −0.997828 0.0658777i
\(385\) −7.77270 4.00710i −0.396133 0.204221i
\(386\) −0.816478 2.75540i −0.0415576 0.140246i
\(387\) 1.48790 + 12.4368i 0.0756343 + 0.632198i
\(388\) 3.09990 9.10221i 0.157374 0.462095i
\(389\) 7.01550 36.3999i 0.355700 1.84555i −0.157817 0.987468i \(-0.550446\pi\)
0.513517 0.858079i \(-0.328342\pi\)
\(390\) 4.38003 + 1.92449i 0.221791 + 0.0974504i
\(391\) −1.07006 + 11.2061i −0.0541151 + 0.566719i
\(392\) 34.5882 8.66366i 1.74697 0.437581i
\(393\) 8.21641 21.2554i 0.414463 1.07219i
\(394\) −1.02692 20.4896i −0.0517352 1.03225i
\(395\) 1.91995 1.83067i 0.0966032 0.0921109i
\(396\) 2.19822 + 12.6823i 0.110465 + 0.637308i
\(397\) −4.84159 10.6016i −0.242992 0.532079i 0.748362 0.663290i \(-0.230841\pi\)
−0.991354 + 0.131212i \(0.958113\pi\)
\(398\) 6.77789 + 1.28893i 0.339745 + 0.0646080i
\(399\) −25.0044 5.75090i −1.25179 0.287905i
\(400\) −11.0010 12.4445i −0.550051 0.622227i
\(401\) 10.9560i 0.547117i −0.961855 0.273558i \(-0.911799\pi\)
0.961855 0.273558i \(-0.0882007\pi\)
\(402\) −6.04317 19.1175i −0.301406 0.953496i
\(403\) 12.1966i 0.607554i
\(404\) 16.8089 + 32.2119i 0.836273 + 1.60260i
\(405\) −7.36498 3.79558i −0.365969 0.188604i
\(406\) −11.6517 + 61.2710i −0.578264 + 3.04083i
\(407\) −0.0518341 0.113501i −0.00256932 0.00562603i
\(408\) −16.0286 6.94808i −0.793532 0.343981i
\(409\) 18.0632 17.2232i 0.893168 0.851634i −0.0964528 0.995338i \(-0.530750\pi\)
0.989621 + 0.143704i \(0.0459012\pi\)
\(410\) 4.11510 0.206243i 0.203230 0.0101856i
\(411\) −3.58425 1.38551i −0.176798 0.0683423i
\(412\) −1.90382 + 2.44574i −0.0937945 + 0.120493i
\(413\) −5.31512 + 55.6625i −0.261540 + 2.73897i
\(414\) −11.7712 6.38868i −0.578524 0.313987i
\(415\) 1.62648 8.43897i 0.0798407 0.414253i
\(416\) −8.17368 + 8.78769i −0.400748 + 0.430852i
\(417\) −29.4990 + 6.05149i −1.44457 + 0.296343i
\(418\) −9.73110 + 2.88351i −0.475964 + 0.141037i
\(419\) 3.61464 + 1.86348i 0.176587 + 0.0910369i 0.544254 0.838921i \(-0.316813\pi\)
−0.367667 + 0.929958i \(0.619843\pi\)
\(420\) 1.57951 + 14.0324i 0.0770721 + 0.684713i
\(421\) −14.5607 13.8836i −0.709646 0.676647i 0.246630 0.969110i \(-0.420677\pi\)
−0.956277 + 0.292463i \(0.905525\pi\)
\(422\) 3.52292 + 14.3663i 0.171493 + 0.699339i
\(423\) −0.226472 0.466128i −0.0110115 0.0226639i
\(424\) 26.0451 + 7.43777i 1.26486 + 0.361210i
\(425\) −5.50346 13.7470i −0.266957 0.666826i
\(426\) 3.45732 + 0.614804i 0.167508 + 0.0297873i
\(427\) 37.1373 + 32.1797i 1.79720 + 1.55728i
\(428\) −35.3662 + 10.5750i −1.70949 + 0.511164i
\(429\) 6.87341 + 3.85972i 0.331851 + 0.186349i
\(430\) 2.95014 + 4.56560i 0.142268 + 0.220173i
\(431\) −3.52133 + 6.09913i −0.169617 + 0.293785i −0.938285 0.345863i \(-0.887586\pi\)
0.768668 + 0.639647i \(0.220920\pi\)
\(432\) 15.0695 14.3146i 0.725034 0.688714i
\(433\) −22.0536 + 4.25048i −1.05983 + 0.204265i −0.689240 0.724533i \(-0.742055\pi\)
−0.370587 + 0.928798i \(0.620843\pi\)
\(434\) 31.1319 18.0770i 1.49438 0.867722i
\(435\) −15.0689 5.01481i −0.722499 0.240442i
\(436\) −15.5279 + 0.0769243i −0.743653 + 0.00368401i
\(437\) 3.92504 9.80429i 0.187760 0.469003i
\(438\) −0.846904 0.527182i −0.0404666 0.0251897i
\(439\) 20.6935 11.9474i 0.987648 0.570219i 0.0830775 0.996543i \(-0.473525\pi\)
0.904570 + 0.426324i \(0.140192\pi\)
\(440\) 3.27387 + 4.52595i 0.156076 + 0.215766i
\(441\) −18.1227 + 33.1949i −0.862985 + 1.58071i
\(442\) −9.49763 + 4.92619i −0.451756 + 0.234315i
\(443\) −1.04724 21.9843i −0.0497560 1.04451i −0.876340 0.481694i \(-0.840022\pi\)
0.826584 0.562814i \(1.80972\pi\)
\(444\) −0.106055 + 0.171319i −0.00503314 + 0.00813042i
\(445\) 4.35459 2.79852i 0.206427 0.132663i
\(446\) −34.0924 9.91879i −1.61432 0.469668i
\(447\) 0.792916 + 13.3026i 0.0375036 + 0.629192i
\(448\) −34.5452 7.83888i −1.63211 0.370352i
\(449\) −7.53630 + 9.58318i −0.355660 + 0.452258i −0.930655 0.365899i \(-0.880762\pi\)
0.574995 + 0.818157i \(0.305004\pi\)
\(450\) 17.6135 + 0.374371i 0.830308 + 0.0176480i
\(451\) 6.78134 + 0.323035i 0.319321 + 0.0152111i
\(452\) −32.6692 7.75429i −1.53663 0.364731i
\(453\) −8.74137 + 10.3348i −0.410705 + 0.485570i
\(454\) −12.2033 + 30.7026i −0.572730 + 1.44094i
\(455\) 7.27543 + 4.67564i 0.341078 + 0.219197i
\(456\) 12.5916 + 10.4907i 0.589654 + 0.491272i
\(457\) 1.53046 + 4.42196i 0.0715917 + 0.206851i 0.975120 0.221678i \(-0.0711533\pi\)
−0.903528 + 0.428529i \(0.859032\pi\)
\(458\) 11.9693 12.6155i 0.559289 0.589482i
\(459\) 16.9446 7.49810i 0.790904 0.349981i
\(460\) −5.80708 0.247799i −0.270756 0.0115537i
\(461\) −5.59855 + 4.85117i −0.260750 + 0.225941i −0.775418 0.631448i \(-0.782461\pi\)
0.514668 + 0.857390i \(0.327915\pi\)
\(462\) 0.335335 + 23.2651i 0.0156012 + 1.08239i
\(463\) −2.23759 23.4331i −0.103990 1.08903i −0.885343 0.464939i \(-0.846076\pi\)
0.781353 0.624089i \(1.78547\pi\)
\(464\) 24.3156 31.5584i 1.12883 1.46506i
\(465\) 3.50829 + 8.46891i 0.162693 + 0.392736i
\(466\) 11.2170 10.7486i 0.519617 0.497917i
\(467\) −4.21534 17.3759i −0.195063 0.804059i −0.982285 0.187391i \(-0.939997\pi\)
0.787223 0.616669i \(1.78848\pi\)
\(468\) −0.971897 12.6922i −0.0449259 0.586697i
\(469\) −5.37879 35.8428i −0.248369 1.65507i
\(470\) −0.177129 0.138587i −0.00817036 0.00639255i
\(471\) −6.94198 + 1.08283i −0.319869 + 0.0498940i
\(472\) 19.0864 30.1899i 0.878522 1.38960i
\(473\) 4.10419 + 7.96101i 0.188711 + 0.366048i
\(474\) −6.70284 2.21223i −0.307872 0.101611i
\(475\) 1.32049 + 13.8288i 0.0605883 + 0.634510i
\(476\) −26.6510 16.9416i −1.22154 0.776515i
\(477\) −24.5304 + 14.9545i −1.12317 + 0.684718i
\(478\) −4.16804 + 2.98363i −0.190642 + 0.136468i
\(479\) 3.72998 2.93329i 0.170427 0.134025i −0.529302 0.848433i \(-0.677546\pi\)
0.699729 + 0.714408i \(0.253304\pi\)
\(480\) 3.14780 8.45302i 0.143677 0.385826i
\(481\) 0.0403602 + 0.116613i 0.00184027 + 0.00531710i
\(482\) −21.2135 + 18.4738i −0.966250 + 0.841460i
\(483\) −19.2082 14.7379i −0.874004 0.670597i
\(484\) −6.45281 11.0498i −0.293310 0.502264i
\(485\) 3.60540 + 2.56739i 0.163713 + 0.116579i
\(486\) 0.320870 + 22.0431i 0.0145550 + 0.999894i
\(487\) −0.765107 0.0364465i −0.0346703 0.00165155i 0.0302396 0.999543i \(-0.490373\pi\)
−0.0649099 + 0.997891i \(0.520676\pi\)
\(488\) −11.8823 29.0530i −0.537887 1.31517i
\(489\) 29.2492 + 27.2300i 1.32270 + 1.23139i
\(490\) −0.740351 + 16.3963i −0.0334457 + 0.740709i
\(491\) −1.25394 8.72134i −0.0565895 0.393588i −0.998356 0.0573205i \(-0.981744\pi\)
0.941766 0.336268i \(1.89084\pi\)
\(492\) −5.64100 9.40021i −0.254316 0.423794i
\(493\) 29.8786 19.2018i 1.34566 0.864806i
\(494\) 9.85123 1.92399i 0.443228 0.0865643i
\(495\) −5.88291 0.702962i −0.264417 0.0315958i
\(496\) −22.9574 + 1.32169i −1.03082 + 0.0593454i
\(497\) 5.99871 + 2.07617i 0.269079 + 0.0931291i
\(498\) −21.8456 + 6.75792i −0.978925 + 0.302830i
\(499\) −16.2697 + 9.39329i −0.728330 + 0.420501i −0.817811 0.575487i \(-0.804812\pi\)
0.0894811 + 0.995989i \(0.471479\pi\)
\(500\) 15.2940 7.07631i 0.683969 0.316462i
\(501\) 3.98729 7.96631i 0.178139 0.355909i
\(502\) −13.4365 16.9991i −0.599700 0.758706i
\(503\) 7.58770 31.2769i 0.338319 1.39457i −0.507754 0.861502i \(-0.669524\pi\)
0.846073 0.533067i \(-0.178961\pi\)
\(504\) 30.9566 21.2924i 1.37891 0.948437i
\(505\) −16.4224 + 3.16516i −0.730787 + 0.140848i
\(506\) −9.48300 1.33948i −0.421571 0.0595473i
\(507\) 12.0922 + 8.39510i 0.537032 + 0.372839i
\(508\) −1.52656 + 16.8696i −0.0677302 + 0.748469i
\(509\) −12.0448 5.50065i −0.533874 0.243812i 0.130188 0.991489i \(-0.458442\pi\)
−0.664063 + 0.747677i \(0.731169\pi\)
\(510\) 5.17786 6.15254i 0.229279 0.272439i
\(511\) −1.36286 1.18092i −0.0602893 0.0522410i
\(512\) 17.4267 + 14.4329i 0.770159 + 0.637852i
\(513\) −17.2343 + 2.27081i −0.760912 + 0.100259i
\(514\) 18.7737 32.7039i 0.828074 1.44251i
\(515\) −0.827546 1.16213i −0.0364660 0.0512094i
\(516\) 7.01902 12.6458i 0.308995 0.556701i
\(517\) −0.268198 0.255727i −0.0117953 0.0112468i
\(518\) −0.237837 + 0.275857i −0.0104500 + 0.0121204i
\(519\) 19.2546 + 12.0519i 0.845183 + 0.529020i
\(520\) −2.79762 4.76352i −0.122684 0.208894i
\(521\) −5.71376 19.4593i −0.250324 0.852526i −0.984771 0.173859i \(-0.944376\pi\)
0.734446 0.678667i \(-0.237442\pi\)
\(522\) 7.11351 + 41.6531i 0.311350 + 1.82311i
\(523\) −1.39517 + 7.23881i −0.0610063 + 0.316531i −0.999593 0.0285114i \(-0.990923\pi\)
0.938587 + 0.345042i \(0.112135\pi\)
\(524\) −22.0656 + 14.3357i −0.963941 + 0.626257i
\(525\) 31.3412 + 5.65342i 1.36784 + 0.246735i
\(526\) −0.0262230 10.5868i −0.00114338 0.461607i
\(527\) −19.6700 5.77562i −0.856837 0.251590i
\(528\) 6.52027 13.3560i 0.283758 0.581245i
\(529\) −9.43360 + 8.99492i −0.410156 + 0.391083i
\(530\) −6.71469 + 10.5054i −0.291668 + 0.456325i
\(531\) 9.80767 + 36.5923i 0.425617 + 1.58797i
\(532\) 19.5119 + 22.2938i 0.845947 + 0.966559i
\(533\) −6.64579 0.955520i −0.287861 0.0413882i
\(534\) −12.0255 6.71375i −0.520396 0.290532i
\(535\) 16.9914i 0.734604i
\(536\) −7.27425 + 21.9792i −0.314200 + 0.949357i
\(537\) −1.44488 + 17.3128i −0.0623510 + 0.747103i
\(538\) 5.67312 12.5043i 0.244586 0.539097i
\(539\) −3.84876 + 26.7687i −0.165778 + 1.15301i
\(540\) 4.32571 + 8.53350i 0.186149 + 0.367224i
\(541\) 10.6643 + 23.3516i 0.458495 + 1.00397i 0.987828 + 0.155551i \(0.0497151\pi\)
−0.529332 + 0.848414i \(0.677558\pi\)
\(542\) −28.0967 17.9584i −1.20685 0.771381i
\(543\) −8.70767 10.8048i −0.373682 0.463677i
\(544\) 10.3017 + 17.3435i 0.441682 + 0.743594i
\(545\) 2.01373 6.85815i 0.0862589 0.293771i
\(546\) 1.85696 22.9358i 0.0794704 0.981560i
\(547\) 3.32909 34.8638i 0.142342 1.49067i −0.588709 0.808345i \(-0.700364\pi\)
0.731051 0.682323i \(-0.239030\pi\)
\(548\) 2.41739 + 3.72087i 0.103266 + 0.158948i
\(549\) 31.1947 + 11.6325i 1.33136 + 0.496462i
\(550\) 11.8947 4.14982i 0.507193 0.176949i
\(551\) −31.9701 + 9.38727i −1.36197 + 0.399911i
\(552\) 6.69565 + 13.9405i 0.284986 + 0.593347i
\(553\) −11.3412 5.84677i −0.482275 0.248630i
\(554\) 10.2056 + 8.79907i 0.433596 + 0.373837i
\(555\) −0.0615682 0.0693631i −0.00261342 0.00294430i
\(556\) 31.7007 + 14.2879i 1.34441 + 0.605941i
\(557\) 17.5298 12.4829i 0.742761 0.528918i −0.144882 0.989449i \(-0.546280\pi\)
0.887644 + 0.460531i \(0.152341\pi\)
\(558\) 15.4811 18.8474i 0.655368 0.797874i
\(559\) −3.29213 8.22335i −0.139242 0.347810i
\(560\) 8.01249 14.2011i 0.338590 0.600108i
\(561\) 9.47963 9.25731i 0.400230 0.390844i
\(562\) −21.1376 + 29.8397i −0.891635 + 1.25871i
\(563\) −3.65975 + 8.01374i −0.154240 + 0.337739i −0.970940 0.239324i \(-0.923074\pi\)
0.816700 + 0.577063i \(0.195801\pi\)
\(564\) −0.103309 + 0.589418i −0.00435008 + 0.0248190i
\(565\) 7.72779 13.3849i 0.325111 0.563108i
\(566\) −0.180142 + 1.27533i −0.00757192 + 0.0536061i
\(567\) −5.66581 + 39.4466i −0.237942 + 1.65660i
\(568\) −2.81986 2.91372i −0.118319 0.122257i
\(569\) −8.97741 2.17790i −0.376352 0.0913021i 0.0431207 0.999070i \(-0.486270\pi\)
−0.419473 + 0.907768i \(0.637785\pi\)
\(570\) −6.28696 + 4.16962i −0.263332 + 0.174646i
\(571\) −11.4881 + 28.6960i −0.480763 + 1.20089i 0.467667 + 0.883905i \(0.345095\pi\)
−0.948431 + 0.316985i \(0.897330\pi\)
\(572\) −3.82227 8.26106i −0.159817 0.345412i
\(573\) 4.11028 1.93672i 0.171709 0.0809076i
\(574\) −7.41099 18.3797i −0.309329 0.767153i
\(575\) −4.28738 + 12.3876i −0.178796 + 0.516598i
\(576\) −23.7851 + 3.20479i −0.991044 + 0.133533i
\(577\) 1.39929 + 29.3748i 0.0582534 + 1.22289i 0.818982 + 0.573819i \(0.194539\pi\)
−0.760729 + 0.649070i \(0.775158\pi\)
\(578\) −1.16124 5.94577i −0.0483010 0.247312i
\(579\) −1.65005 3.10897i −0.0685736 0.129204i
\(580\) 10.7111 + 14.8851i 0.444756 + 0.618069i
\(581\) −40.9158 + 5.88281i −1.69747 + 0.244060i
\(582\) 1.50782 11.6797i 0.0625011 0.484140i
\(583\) −12.6993 + 16.1484i −0.525950 + 0.668800i
\(584\) 0.436055 + 1.06618i 0.0180441 + 0.0441189i
\(585\) 5.72557 + 1.24509i 0.236723 + 0.0514783i
\(586\) 6.73822 + 14.6585i 0.278353 + 0.605535i
\(587\) 6.76114 9.49470i 0.279062 0.391888i −0.651127 0.758969i \(-0.725703\pi\)
0.930189 + 0.367081i \(0.119643\pi\)
\(588\) 39.4120 18.8097i 1.62532 0.775697i
\(589\) 16.1792 + 10.3978i 0.666653 + 0.428432i
\(590\) 10.7972 + 12.3984i 0.444513 + 0.510436i
\(591\) −6.21471 24.3454i −0.255639 1.00144i
\(592\) 0.215126 0.0886064i 0.00884162 0.00364170i
\(593\) −8.19663 10.4229i −0.336595 0.428016i 0.588062 0.808816i \(-0.299891\pi\)
−0.924657 + 0.380800i \(0.875649\pi\)
\(594\) 5.72235 + 14.6889i 0.234791 + 0.602692i
\(595\) 10.9859 9.51931i 0.450377 0.390254i
\(596\) 8.25504 12.9861i 0.338140 0.531931i
\(597\) 8.44934 0.100854i 0.345809 0.00412766i
\(598\) 9.20999 + 2.21018i 0.376624 + 0.0903809i
\(599\) 26.6777 13.7533i 1.09002 0.561944i 0.183034 0.983107i \(-0.441408\pi\)
0.906985 + 0.421163i \(0.138378\pi\)
\(600\) −16.2311 12.2631i −0.662633 0.500640i
\(601\) −1.23904 5.10741i −0.0505417 0.208336i 0.940942 0.338568i \(-0.109943\pi\)
−0.991483 + 0.130233i \(0.958428\pi\)
\(602\) 16.1108 20.5913i 0.656628 0.839240i
\(603\) −11.9024 21.4786i −0.484704 0.874678i
\(604\) 15.1708 3.76008i 0.617292 0.152995i
\(605\) 5.72402 1.38863i 0.232715 0.0564560i
\(606\) 28.0091 + 34.5790i 1.13779 + 1.40468i
\(607\) 15.5369 + 30.1373i 0.630621 + 1.22323i 0.960255 + 0.279126i \(0.0900446\pi\)
−0.329633 + 0.944109i \(0.606925\pi\)
\(608\) −4.68903 18.3344i −0.190165 0.743556i
\(609\) 0.911700 + 76.3808i 0.0369440 + 3.09510i
\(610\) 14.3796 1.40904i 0.582214 0.0570503i
\(611\) 0.239998 + 0.276973i 0.00970928 + 0.0112051i
\(612\) −20.9296 4.44291i −0.846027 0.179594i
\(613\) −2.04880 + 1.61119i −0.0827503 + 0.0650755i −0.658677 0.752426i \(-0.728884\pi\)
0.575927 + 0.817501i \(0.304641\pi\)
\(614\) 2.32512 + 2.20603i 0.0938341 + 0.0890279i
\(615\) 4.88948 1.24815i 0.197163 0.0503303i
\(616\) 15.4213 22.0004i 0.621344 0.886423i
\(617\) 25.6606 39.9286i 1.03306 1.60747i 0.268090 0.963394i \(-0.413607\pi\)
0.764965 0.644072i \(-0.222756\pi\)
\(618\) −1.69060 + 3.39870i −0.0680059 + 0.136716i
\(619\) 15.9680 + 11.3708i 0.641809 + 0.457030i 0.854053 0.520187i \(-0.174138\pi\)
−0.212244 + 0.977217i \(0.568077\pi\)
\(620\) 2.44450 10.2988i 0.0981736 0.413609i
\(621\) −15.6832 4.80660i −0.629344 0.192882i
\(622\) −31.1929 + 4.56375i −1.25072 + 0.182990i
\(623\) −19.5703 15.3902i −0.784067 0.616597i
\(624\) −7.67469 + 12.5359i −0.307233 + 0.501836i
\(625\) −1.85087 12.8731i −0.0740347 0.514923i
\(626\) 1.16155 3.99242i 0.0464247 0.159569i
\(627\) −10.9798 + 5.82738i −0.438489 + 0.232723i
\(628\) 7.22930 + 3.68175i 0.288481 + 0.146918i
\(629\) 0.207180 0.00986920i 0.00826081 0.000393511i
\(630\) 5.30796 + 16.4600i 0.211474 + 0.655783i
\(631\) 14.0934 + 4.87777i 0.561049 + 0.194181i 0.592849 0.805313i \(-0.298003\pi\)
−0.0318006 + 0.999494i \(0.510124\pi\)
\(632\) 4.77691 + 6.60382i 0.190015 + 0.262686i
\(633\) 7.72194 + 16.3882i 0.306920 + 0.651372i
\(634\) −40.1838 20.5904i −1.59590 0.817749i
\(635\) −7.23840 2.89782i −0.287247 0.114996i
\(636\) 33.0722 + 2.59520i 1.31140 + 0.102906i
\(637\) 6.30551 25.9917i 0.249834 1.02983i
\(638\) 15.1730 + 26.1306i 0.600703 + 1.03452i
\(639\) 4.29954 0.102655i 0.170087 0.00406099i
\(640\) −8.66314 + 5.78212i −0.342441 + 0.228558i
\(641\) −14.9701 8.64296i −0.591281 0.341377i 0.174323 0.984689i \(-0.444226\pi\)
−0.765604 + 0.643312i \(0.777560\pi\)
\(642\) −39.8811 + 21.2932i −1.57398 + 0.840375i
\(643\) −38.6678 17.6590i −1.52491 0.696402i −0.535902 0.844280i \(-0.680028\pi\)
−0.989006 + 0.147878i \(0.952756\pi\)
\(644\) 8.00895 + 26.7844i 0.315597 + 1.05545i
\(645\) 4.65136 + 4.76306i 0.183147 + 0.187545i
\(646\) 1.56210 16.7986i 0.0614599 0.660934i
\(647\) 29.8706 11.9584i 1.17433 0.470132i 0.299283 0.954164i \(-0.403252\pi\)
0.875050 + 0.484032i \(0.160828\pi\)
\(648\) 14.6084 20.8470i 0.573871 0.818946i
\(649\) 15.7137 + 22.0667i 0.616815 + 0.866195i
\(650\) −12.1003 + 2.96726i −0.474614 + 0.116386i
\(651\) 32.9743 29.2687i 1.29236 1.14713i
\(652\) −8.95728 45.2669i −0.350794 1.77279i
\(653\) 4.10495 7.96248i 0.160639 0.311596i −0.794755 0.606930i \(-0.792401\pi\)
0.955394 + 0.295334i \(0.0954310\pi\)
\(654\) −18.6205 + 3.86794i −0.728119 + 0.151249i
\(655\) −3.41242 11.6216i −0.133334 0.454095i
\(656\) −1.07839 + 12.6128i −0.0421040 + 0.492448i
\(657\) −1.14478 0.426887i −0.0446621 0.0166545i
\(658\) −0.351266 + 1.02311i −0.0136938 + 0.0398850i
\(659\) −15.1677 1.44834i −0.590848 0.0564192i −0.204650 0.978835i \(-0.565606\pi\)
−0.386198 + 0.922416i \(0.626212\pi\)
\(660\) 5.03033 + 4.63676i 0.195805 + 0.180486i
\(661\) −13.1905 3.87309i −0.513052 0.150646i 0.0149509 0.999888i \(-0.495241\pi\)
−0.528003 + 0.849243i \(0.677059\pi\)
\(662\) −2.19122 43.7206i −0.0851642 1.69925i
\(663\) −10.2028 + 8.22257i −0.396245 + 0.319338i
\(664\) 25.0158 + 8.45043i 0.970801 + 0.327940i
\(665\) −12.4048 + 5.66510i −0.481039 + 0.219683i
\(666\) −0.0856486 + 0.231432i −0.00331881 + 0.00896781i
\(667\) −31.1213 4.47456i −1.20502 0.173256i
\(668\) −9.11963 + 4.75883i −0.352849 + 0.184125i
\(669\) −43.3352 3.61662i −1.67543 0.139827i
\(670\) −8.73383 6.10641i −0.337417 0.235911i
\(671\) 23.8070 0.919061
\(672\) −43.3729 1.00988i −1.67315 0.0389570i
\(673\) 1.91728 13.3350i 0.0739057 0.514026i −0.918919 0.394446i \(-0.870936\pi\)
0.992825 0.119579i \(-0.0381545\pi\)
\(674\) 2.25151 11.8397i 0.0867250 0.456048i
\(675\) 21.2337 3.83332i 0.817284 0.147545i
\(676\) −5.63900 16.0354i −0.216884 0.616744i
\(677\) 28.2281 + 29.6048i 1.08490 + 1.13781i 0.989818 + 0.142336i \(0.0454613\pi\)
0.0950770 + 0.995470i \(0.469690\pi\)
\(678\) −41.1004 1.36451i −1.57845 0.0524037i
\(679\) 5.99769 20.4263i 0.230170 0.783888i
\(680\) −9.00714 + 2.25611i −0.345408 + 0.0865178i
\(681\) −7.18314 + 39.8216i −0.275258 + 1.52597i
\(682\) 5.66354 16.4958i 0.216868 0.631657i
\(683\) 15.4453 + 2.97684i 0.590998 + 0.113905i 0.475977 0.879458i \(-0.342095\pi\)
0.115020 + 0.993363i \(0.463307\pi\)
\(684\) 17.6653 + 9.53104i 0.675449 + 0.364429i
\(685\) −1.95973 + 0.575427i −0.0748773 + 0.0219859i
\(686\) 33.6618 9.97463i 1.28521 0.380833i
\(687\) 11.3001 18.0535i 0.431126 0.688784i
\(688\) −15.1220 + 7.08787i −0.576519 + 0.270222i
\(689\) 14.0204 14.7041i 0.534133 0.560183i
\(690\) −7.03087 + 1.11454i −0.267661 + 0.0424297i
\(691\) −27.7361 + 19.7508i −1.05513 + 0.751356i −0.969530 0.244974i \(-0.921221\pi\)
−0.0856019 + 0.996329i \(0.527281\pi\)
\(692\) −9.86901 24.3020i −0.375164 0.923823i
\(693\) 6.05942 + 27.8451i 0.230178 + 1.05775i
\(694\) 3.96017 42.5873i 0.150326 1.61659i
\(695\) −10.4815 + 12.0963i −0.397585 + 0.458837i
\(696\) 21.5143 43.7940i 0.815497 1.66001i
\(697\) −4.68809 + 10.2655i −0.177574 + 0.388833i
\(698\) 19.9179 + 30.8247i 0.753903 + 1.16673i
\(699\) 10.8510 15.6296i 0.410423 0.591166i
\(700\) −25.5083 26.4884i −0.964124 1.00117i
\(701\) −6.55032 33.9863i −0.247402 1.28364i −0.866835 0.498595i \(-0.833850\pi\)
0.619433 0.785050i \(-0.287363\pi\)
\(702\) −4.25273 14.9990i −0.160509 0.566100i
\(703\) −0.189100 0.0458751i −0.00713203 0.00173021i
\(704\) −15.1355 + 8.08983i −0.570440 + 0.304897i
\(705\) −0.246317 0.123287i −0.00927684 0.00464324i
\(706\) −44.4377 22.7701i −1.67244 0.856963i
\(707\) 40.2209 + 69.6646i 1.51266 + 2.62001i
\(708\) 15.5700 40.8798i 0.585156 1.53636i
\(709\) 11.2714 32.5665i 0.423305 1.22306i −0.508805 0.860882i \(-0.669912\pi\)
0.932109 0.362177i \(-0.117966\pi\)
\(710\) 1.65684 0.859362i 0.0621801 0.0322513i
\(711\) −8.58376 1.02569i −0.321916 0.0384665i
\(712\) 6.71381 + 14.4167i 0.251611 + 0.540290i
\(713\) 9.81155 + 15.2671i 0.367446 + 0.571756i
\(714\) −36.1102 13.8559i −1.35139 0.518545i
\(715\) 4.14727 0.596287i 0.155099 0.0222999i
\(716\) 13.0616 15.2257i 0.488137 0.569011i
\(717\) −4.27770 + 4.59491i −0.159754 + 0.171600i
\(718\) 25.4692 3.72634i 0.950503 0.139066i
\(719\) −0.935991 + 19.6489i −0.0349066 + 0.732779i 0.911791 + 0.410655i \(0.134700\pi\)
−0.946697 + 0.322124i \(0.895603\pi\)
\(720\) 1.72317 10.9121i 0.0642188 0.406670i
\(721\) −3.98031 + 5.58956i −0.148234 + 0.208166i
\(722\) 4.07869 10.2617i 0.151793 0.381900i
\(723\) −20.9721 + 27.3334i −0.779961 + 1.01654i
\(724\) 0.841713 + 16.0015i 0.0312820 + 0.594690i
\(725\) 39.0835 13.5269i 1.45152 0.502377i
\(726\) −10.4325 11.6948i −0.387186 0.434036i
\(727\) −15.2052 19.3350i −0.563930 0.717095i 0.417551 0.908653i \(-0.362888\pi\)
−0.981481 + 0.191558i \(0.938646\pi\)
\(728\) −17.2503 + 20.2095i −0.639340 + 0.749012i
\(729\) 5.74492 + 26.3817i 0.212775 + 0.977101i
\(730\) −0.527701 + 0.0517087i −0.0195311 + 0.00191382i
\(731\) −14.8212 + 1.41525i −0.548180 + 0.0523449i
\(732\) −21.3273 31.9851i −0.788281 1.18220i
\(733\) −22.5536 + 11.6272i −0.833035 + 0.429459i −0.821317 0.570472i \(-0.806760\pi\)
−0.0117179 + 0.999931i \(0.503730\pi\)
\(734\) −20.8003 + 19.9316i −0.767753 + 0.735690i
\(735\) 3.09805 + 19.8616i 0.114273 + 0.732605i
\(736\) 3.16215 17.5754i 0.116558 0.647836i
\(737\) −13.3411 11.4171i −0.491425 0.420555i
\(738\) −9.05692 9.91208i −0.333390 0.364869i
\(739\) 35.3350 8.57218i 1.29982 0.315333i 0.474628 0.880186i \(-0.342583\pi\)
0.825191 + 0.564854i \(0.191067\pi\)
\(740\) 0.0107080 + 0.106557i 0.000393632 + 0.00391713i
\(741\) 11.3573 4.70481i 0.417220 0.172835i
\(742\) 58.3126 + 13.9936i 2.14072 + 0.513723i
\(743\) 49.4569 4.72256i 1.81440 0.173254i 0.868065 0.496450i \(-0.165363\pi\)
0.946332 + 0.323196i \(0.104757\pi\)
\(744\) −27.2360 + 7.16859i −0.998519 + 0.262813i
\(745\) 4.63843 + 5.35304i 0.169939 + 0.196120i
\(746\) −22.3445 + 15.9950i −0.818089 + 0.585618i
\(747\) −24.5795 + 13.4237i −0.899318 + 0.491148i
\(748\) −15.1330 + 2.25237i −0.553318 + 0.0823549i
\(749\) −77.2302 + 26.7296i −2.82193 + 0.976679i