Properties

Label 403.2.k.e.66.2
Level 403
Weight 2
Character 403.66
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.k (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(68\)
Relative dimension: \(17\) over \(\Q(\zeta_{5})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 66.2
Character \(\chi\) \(=\) 403.66
Dual form 403.2.k.e.287.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.717286 - 2.20758i) q^{2} +(0.693769 - 2.13520i) q^{3} +(-2.74087 + 1.99136i) q^{4} +3.88389 q^{5} -5.21126 q^{6} +(1.00783 - 0.732228i) q^{7} +(2.60631 + 1.89360i) q^{8} +(-1.65072 - 1.19932i) q^{9} +O(q^{10})\) \(q+(-0.717286 - 2.20758i) q^{2} +(0.693769 - 2.13520i) q^{3} +(-2.74087 + 1.99136i) q^{4} +3.88389 q^{5} -5.21126 q^{6} +(1.00783 - 0.732228i) q^{7} +(2.60631 + 1.89360i) q^{8} +(-1.65072 - 1.19932i) q^{9} +(-2.78586 - 8.57400i) q^{10} +(-1.25503 + 0.911830i) q^{11} +(2.35042 + 7.23385i) q^{12} +(0.309017 - 0.951057i) q^{13} +(-2.33935 - 1.69964i) q^{14} +(2.69452 - 8.29289i) q^{15} +(0.216955 - 0.667719i) q^{16} +(-4.26724 - 3.10033i) q^{17} +(-1.46355 + 4.50434i) q^{18} +(0.367413 + 1.13078i) q^{19} +(-10.6453 + 7.73423i) q^{20} +(-0.864257 - 2.65991i) q^{21} +(2.91315 + 2.11653i) q^{22} +(-4.52457 - 3.28729i) q^{23} +(5.85139 - 4.25128i) q^{24} +10.0846 q^{25} -2.32119 q^{26} +(1.74293 - 1.26631i) q^{27} +(-1.30419 + 4.01389i) q^{28} +(1.49422 + 4.59875i) q^{29} -20.2400 q^{30} +(-0.233614 + 5.56286i) q^{31} +4.81350 q^{32} +(1.07624 + 3.31233i) q^{33} +(-3.78339 + 11.6441i) q^{34} +(3.91429 - 2.84390i) q^{35} +6.91268 q^{36} +0.987489 q^{37} +(2.23275 - 1.62219i) q^{38} +(-1.81631 - 1.31963i) q^{39} +(10.1226 + 7.35453i) q^{40} +(-0.0557628 - 0.171620i) q^{41} +(-5.25204 + 3.81583i) q^{42} +(1.20261 + 3.70124i) q^{43} +(1.62408 - 4.99841i) q^{44} +(-6.41121 - 4.65802i) q^{45} +(-4.01155 + 12.3463i) q^{46} +(-0.918674 + 2.82739i) q^{47} +(-1.27520 - 0.926485i) q^{48} +(-1.68356 + 5.18148i) q^{49} +(-7.23356 - 22.2626i) q^{50} +(-9.58030 + 6.96049i) q^{51} +(1.04692 + 3.22209i) q^{52} +(11.2323 + 8.16073i) q^{53} +(-4.04567 - 2.93935i) q^{54} +(-4.87439 + 3.54145i) q^{55} +4.01326 q^{56} +2.66935 q^{57} +(9.08031 - 6.59723i) q^{58} +(2.17283 - 6.68727i) q^{59} +(9.12879 + 28.0955i) q^{60} +3.58792 q^{61} +(12.4480 - 3.47444i) q^{62} -2.54181 q^{63} +(-3.88657 - 11.9616i) q^{64} +(1.20019 - 3.69380i) q^{65} +(6.54026 - 4.75178i) q^{66} +10.5541 q^{67} +17.8698 q^{68} +(-10.1580 + 7.38024i) q^{69} +(-9.08579 - 6.60121i) q^{70} +(-3.54159 - 2.57311i) q^{71} +(-2.03127 - 6.25159i) q^{72} +(-8.11109 + 5.89305i) q^{73} +(-0.708312 - 2.17996i) q^{74} +(6.99640 - 21.5327i) q^{75} +(-3.25883 - 2.36768i) q^{76} +(-0.597180 + 1.83793i) q^{77} +(-1.61037 + 4.95620i) q^{78} +(-14.0304 - 10.1937i) q^{79} +(0.842630 - 2.59335i) q^{80} +(-3.38620 - 10.4216i) q^{81} +(-0.338867 + 0.246201i) q^{82} +(-4.61720 - 14.2103i) q^{83} +(7.66565 + 5.56942i) q^{84} +(-16.5735 - 12.0413i) q^{85} +(7.30817 - 5.30969i) q^{86} +10.8559 q^{87} -4.99763 q^{88} +(-9.02117 + 6.55426i) q^{89} +(-5.68427 + 17.4944i) q^{90} +(-0.384955 - 1.18477i) q^{91} +18.9474 q^{92} +(11.7158 + 4.35815i) q^{93} +6.90063 q^{94} +(1.42699 + 4.39184i) q^{95} +(3.33946 - 10.2778i) q^{96} +(3.06580 - 2.22743i) q^{97} +12.6461 q^{98} +3.16527 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} + O(q^{10}) \) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} - 13q^{10} - 5q^{11} - 28q^{12} - 17q^{13} - 3q^{14} - 14q^{15} + 9q^{16} + 12q^{17} - 19q^{18} - 4q^{19} - 53q^{20} - 13q^{21} - 14q^{22} - 9q^{23} + 2q^{24} + 96q^{25} + 12q^{26} + 25q^{27} - 25q^{28} - 78q^{30} - 2q^{31} + 76q^{32} + 29q^{33} - 15q^{34} - 36q^{35} + 52q^{36} + 24q^{37} - 19q^{38} + 3q^{39} - 12q^{40} - 40q^{41} + 11q^{42} - 22q^{43} + 4q^{44} + 63q^{45} - 24q^{46} + 3q^{47} + 68q^{48} + 33q^{49} - 76q^{50} - 59q^{51} - 13q^{52} - q^{53} + 18q^{54} - 22q^{55} + 78q^{56} - 16q^{57} + 5q^{58} - 18q^{59} + 43q^{60} - 32q^{61} - 39q^{62} + 20q^{63} + 23q^{64} + 2q^{65} + 11q^{66} + 114q^{67} + 98q^{68} - 46q^{69} + 32q^{70} - 2q^{71} + 28q^{72} + 10q^{73} - 43q^{74} - 12q^{75} - 35q^{76} - 3q^{77} - 6q^{78} - 10q^{79} + 68q^{80} - 54q^{81} - 80q^{82} - 22q^{83} - 14q^{84} - 50q^{85} - 66q^{86} + 76q^{87} - 34q^{88} - 10q^{89} - 63q^{90} - 8q^{91} - 64q^{92} - 16q^{93} + 30q^{94} + 15q^{95} + 34q^{96} - 7q^{97} + 138q^{98} - 48q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.717286 2.20758i −0.507198 1.56099i −0.797044 0.603921i \(-0.793604\pi\)
0.289847 0.957073i \(-0.406396\pi\)
\(3\) 0.693769 2.13520i 0.400548 1.23276i −0.524008 0.851713i \(-0.675564\pi\)
0.924556 0.381046i \(-0.124436\pi\)
\(4\) −2.74087 + 1.99136i −1.37044 + 0.995680i
\(5\) 3.88389 1.73693 0.868465 0.495751i \(-0.165107\pi\)
0.868465 + 0.495751i \(0.165107\pi\)
\(6\) −5.21126 −2.12749
\(7\) 1.00783 0.732228i 0.380922 0.276756i −0.380803 0.924656i \(-0.624352\pi\)
0.761726 + 0.647900i \(0.224352\pi\)
\(8\) 2.60631 + 1.89360i 0.921471 + 0.669488i
\(9\) −1.65072 1.19932i −0.550239 0.399772i
\(10\) −2.78586 8.57400i −0.880967 2.71134i
\(11\) −1.25503 + 0.911830i −0.378405 + 0.274927i −0.760687 0.649118i \(-0.775138\pi\)
0.382283 + 0.924045i \(0.375138\pi\)
\(12\) 2.35042 + 7.23385i 0.678508 + 2.08823i
\(13\) 0.309017 0.951057i 0.0857059 0.263776i
\(14\) −2.33935 1.69964i −0.625218 0.454247i
\(15\) 2.69452 8.29289i 0.695723 2.14122i
\(16\) 0.216955 0.667719i 0.0542387 0.166930i
\(17\) −4.26724 3.10033i −1.03496 0.751940i −0.0656619 0.997842i \(-0.520916\pi\)
−0.969295 + 0.245902i \(0.920916\pi\)
\(18\) −1.46355 + 4.50434i −0.344962 + 1.06168i
\(19\) 0.367413 + 1.13078i 0.0842904 + 0.259419i 0.984315 0.176420i \(-0.0564517\pi\)
−0.900025 + 0.435839i \(0.856452\pi\)
\(20\) −10.6453 + 7.73423i −2.38035 + 1.72943i
\(21\) −0.864257 2.65991i −0.188596 0.580440i
\(22\) 2.91315 + 2.11653i 0.621085 + 0.451245i
\(23\) −4.52457 3.28729i −0.943438 0.685448i 0.00580789 0.999983i \(-0.498151\pi\)
−0.949246 + 0.314535i \(0.898151\pi\)
\(24\) 5.85139 4.25128i 1.19441 0.867790i
\(25\) 10.0846 2.01692
\(26\) −2.32119 −0.455222
\(27\) 1.74293 1.26631i 0.335427 0.243702i
\(28\) −1.30419 + 4.01389i −0.246469 + 0.758554i
\(29\) 1.49422 + 4.59875i 0.277470 + 0.853966i 0.988555 + 0.150860i \(0.0482042\pi\)
−0.711085 + 0.703106i \(0.751796\pi\)
\(30\) −20.2400 −3.69529
\(31\) −0.233614 + 5.56286i −0.0419583 + 0.999119i
\(32\) 4.81350 0.850915
\(33\) 1.07624 + 3.31233i 0.187350 + 0.576603i
\(34\) −3.78339 + 11.6441i −0.648846 + 1.99694i
\(35\) 3.91429 2.84390i 0.661636 0.480706i
\(36\) 6.91268 1.15211
\(37\) 0.987489 0.162342 0.0811711 0.996700i \(-0.474134\pi\)
0.0811711 + 0.996700i \(0.474134\pi\)
\(38\) 2.23275 1.62219i 0.362200 0.263154i
\(39\) −1.81631 1.31963i −0.290842 0.211309i
\(40\) 10.1226 + 7.35453i 1.60053 + 1.16285i
\(41\) −0.0557628 0.171620i −0.00870868 0.0268026i 0.946608 0.322388i \(-0.104485\pi\)
−0.955316 + 0.295585i \(0.904485\pi\)
\(42\) −5.25204 + 3.81583i −0.810407 + 0.588795i
\(43\) 1.20261 + 3.70124i 0.183396 + 0.564434i 0.999917 0.0128813i \(-0.00410037\pi\)
−0.816521 + 0.577315i \(0.804100\pi\)
\(44\) 1.62408 4.99841i 0.244840 0.753539i
\(45\) −6.41121 4.65802i −0.955727 0.694376i
\(46\) −4.01155 + 12.3463i −0.591470 + 1.82036i
\(47\) −0.918674 + 2.82739i −0.134002 + 0.412417i −0.995433 0.0954576i \(-0.969569\pi\)
0.861431 + 0.507874i \(0.169569\pi\)
\(48\) −1.27520 0.926485i −0.184059 0.133727i
\(49\) −1.68356 + 5.18148i −0.240509 + 0.740211i
\(50\) −7.23356 22.2626i −1.02298 3.14841i
\(51\) −9.58030 + 6.96049i −1.34151 + 0.974664i
\(52\) 1.04692 + 3.22209i 0.145182 + 0.446823i
\(53\) 11.2323 + 8.16073i 1.54287 + 1.12096i 0.948502 + 0.316771i \(0.102599\pi\)
0.594371 + 0.804191i \(0.297401\pi\)
\(54\) −4.04567 2.93935i −0.550546 0.399995i
\(55\) −4.87439 + 3.54145i −0.657262 + 0.477529i
\(56\) 4.01326 0.536294
\(57\) 2.66935 0.353564
\(58\) 9.08031 6.59723i 1.19230 0.866259i
\(59\) 2.17283 6.68727i 0.282878 0.870609i −0.704149 0.710052i \(-0.748671\pi\)
0.987027 0.160556i \(-0.0513288\pi\)
\(60\) 9.12879 + 28.0955i 1.17852 + 3.62712i
\(61\) 3.58792 0.459386 0.229693 0.973263i \(-0.426228\pi\)
0.229693 + 0.973263i \(0.426228\pi\)
\(62\) 12.4480 3.47444i 1.58090 0.441254i
\(63\) −2.54181 −0.320238
\(64\) −3.88657 11.9616i −0.485821 1.49520i
\(65\) 1.20019 3.69380i 0.148865 0.458160i
\(66\) 6.54026 4.75178i 0.805050 0.584903i
\(67\) 10.5541 1.28939 0.644695 0.764440i \(-0.276984\pi\)
0.644695 + 0.764440i \(0.276984\pi\)
\(68\) 17.8698 2.16703
\(69\) −10.1580 + 7.38024i −1.22288 + 0.888477i
\(70\) −9.08579 6.60121i −1.08596 0.788996i
\(71\) −3.54159 2.57311i −0.420309 0.305372i 0.357453 0.933931i \(-0.383645\pi\)
−0.777762 + 0.628559i \(0.783645\pi\)
\(72\) −2.03127 6.25159i −0.239387 0.736757i
\(73\) −8.11109 + 5.89305i −0.949332 + 0.689730i −0.950649 0.310269i \(-0.899581\pi\)
0.00131695 + 0.999999i \(0.499581\pi\)
\(74\) −0.708312 2.17996i −0.0823396 0.253415i
\(75\) 6.99640 21.5327i 0.807875 2.48638i
\(76\) −3.25883 2.36768i −0.373813 0.271591i
\(77\) −0.597180 + 1.83793i −0.0680550 + 0.209452i
\(78\) −1.61037 + 4.95620i −0.182338 + 0.561179i
\(79\) −14.0304 10.1937i −1.57854 1.14688i −0.918344 0.395783i \(-0.870473\pi\)
−0.660196 0.751093i \(-0.729527\pi\)
\(80\) 0.842630 2.59335i 0.0942089 0.289945i
\(81\) −3.38620 10.4216i −0.376244 1.15796i
\(82\) −0.338867 + 0.246201i −0.0374216 + 0.0271884i
\(83\) −4.61720 14.2103i −0.506804 1.55978i −0.797717 0.603032i \(-0.793959\pi\)
0.290913 0.956749i \(-0.406041\pi\)
\(84\) 7.66565 + 5.56942i 0.836391 + 0.607674i
\(85\) −16.5735 12.0413i −1.79765 1.30607i
\(86\) 7.30817 5.30969i 0.788060 0.572559i
\(87\) 10.8559 1.16387
\(88\) −4.99763 −0.532749
\(89\) −9.02117 + 6.55426i −0.956242 + 0.694750i −0.952275 0.305242i \(-0.901263\pi\)
−0.00396707 + 0.999992i \(0.501263\pi\)
\(90\) −5.68427 + 17.4944i −0.599175 + 1.84407i
\(91\) −0.384955 1.18477i −0.0403543 0.124198i
\(92\) 18.9474 1.97541
\(93\) 11.7158 + 4.35815i 1.21487 + 0.451919i
\(94\) 6.90063 0.711746
\(95\) 1.42699 + 4.39184i 0.146407 + 0.450593i
\(96\) 3.33946 10.2778i 0.340832 1.04897i
\(97\) 3.06580 2.22743i 0.311284 0.226161i −0.421163 0.906985i \(-0.638378\pi\)
0.732447 + 0.680824i \(0.238378\pi\)
\(98\) 12.6461 1.27745
\(99\) 3.16527 0.318121
\(100\) −27.6407 + 20.0821i −2.76407 + 2.00821i
\(101\) 16.2244 + 11.7877i 1.61438 + 1.17292i 0.846649 + 0.532153i \(0.178617\pi\)
0.767736 + 0.640766i \(0.221383\pi\)
\(102\) 22.2377 + 16.1566i 2.20186 + 1.59974i
\(103\) 1.19318 + 3.67224i 0.117568 + 0.361836i 0.992474 0.122456i \(-0.0390771\pi\)
−0.874906 + 0.484293i \(0.839077\pi\)
\(104\) 2.60631 1.89360i 0.255570 0.185683i
\(105\) −3.35668 10.3308i −0.327578 1.00818i
\(106\) 9.95870 30.6497i 0.967274 2.97696i
\(107\) −1.45644 1.05816i −0.140799 0.102296i 0.515156 0.857096i \(-0.327734\pi\)
−0.655955 + 0.754800i \(0.727734\pi\)
\(108\) −2.25547 + 6.94161i −0.217032 + 0.667957i
\(109\) −1.69894 + 5.22879i −0.162729 + 0.500827i −0.998862 0.0476993i \(-0.984811\pi\)
0.836133 + 0.548527i \(0.184811\pi\)
\(110\) 11.3144 + 8.22036i 1.07878 + 0.783781i
\(111\) 0.685089 2.10849i 0.0650258 0.200129i
\(112\) −0.270270 0.831805i −0.0255381 0.0785982i
\(113\) 9.03005 6.56072i 0.849476 0.617180i −0.0755255 0.997144i \(-0.524063\pi\)
0.925002 + 0.379963i \(0.124063\pi\)
\(114\) −1.91469 5.89279i −0.179327 0.551911i
\(115\) −17.5729 12.7675i −1.63869 1.19057i
\(116\) −13.2532 9.62904i −1.23053 0.894034i
\(117\) −1.65072 + 1.19932i −0.152609 + 0.110877i
\(118\) −16.3212 −1.50249
\(119\) −6.57078 −0.602342
\(120\) 22.7262 16.5115i 2.07461 1.50729i
\(121\) −2.65553 + 8.17288i −0.241412 + 0.742989i
\(122\) −2.57356 7.92061i −0.232999 0.717098i
\(123\) −0.405130 −0.0365293
\(124\) −10.4374 15.7123i −0.937302 1.41101i
\(125\) 19.7481 1.76633
\(126\) 1.82320 + 5.61125i 0.162424 + 0.499890i
\(127\) −3.49425 + 10.7542i −0.310065 + 0.954281i 0.667674 + 0.744454i \(0.267290\pi\)
−0.977739 + 0.209827i \(0.932710\pi\)
\(128\) −15.8300 + 11.5012i −1.39919 + 1.01657i
\(129\) 8.73722 0.769270
\(130\) −9.01524 −0.790689
\(131\) 5.54726 4.03032i 0.484666 0.352131i −0.318463 0.947935i \(-0.603167\pi\)
0.803129 + 0.595805i \(0.203167\pi\)
\(132\) −9.54588 6.93549i −0.830862 0.603657i
\(133\) 1.19828 + 0.870601i 0.103904 + 0.0754907i
\(134\) −7.57032 23.2990i −0.653976 2.01273i
\(135\) 6.76936 4.91823i 0.582614 0.423294i
\(136\) −5.25098 16.1609i −0.450268 1.38578i
\(137\) 2.96374 9.12144i 0.253209 0.779297i −0.740968 0.671540i \(-0.765633\pi\)
0.994177 0.107757i \(-0.0343669\pi\)
\(138\) 23.5787 + 17.1309i 2.00715 + 1.45828i
\(139\) −0.162813 + 0.501088i −0.0138096 + 0.0425017i −0.957724 0.287689i \(-0.907113\pi\)
0.943914 + 0.330191i \(0.107113\pi\)
\(140\) −5.06534 + 15.5895i −0.428099 + 1.31755i
\(141\) 5.39969 + 3.92311i 0.454736 + 0.330385i
\(142\) −3.14002 + 9.66399i −0.263505 + 0.810984i
\(143\) 0.479377 + 1.47537i 0.0400875 + 0.123377i
\(144\) −1.15894 + 0.842018i −0.0965782 + 0.0701681i
\(145\) 5.80340 + 17.8610i 0.481946 + 1.48328i
\(146\) 18.8274 + 13.6789i 1.55816 + 1.13207i
\(147\) 9.89549 + 7.18950i 0.816167 + 0.592980i
\(148\) −2.70658 + 1.96645i −0.222479 + 0.161641i
\(149\) −10.2986 −0.843694 −0.421847 0.906667i \(-0.638618\pi\)
−0.421847 + 0.906667i \(0.638618\pi\)
\(150\) −52.5536 −4.29098
\(151\) 4.29454 3.12016i 0.349485 0.253915i −0.399168 0.916878i \(-0.630701\pi\)
0.748653 + 0.662962i \(0.230701\pi\)
\(152\) −1.18365 + 3.64291i −0.0960068 + 0.295479i
\(153\) 3.32573 + 10.2355i 0.268869 + 0.827494i
\(154\) 4.48573 0.361470
\(155\) −0.907331 + 21.6056i −0.0728786 + 1.73540i
\(156\) 7.60613 0.608977
\(157\) 4.37374 + 13.4610i 0.349062 + 1.07430i 0.959373 + 0.282141i \(0.0910447\pi\)
−0.610310 + 0.792162i \(0.708955\pi\)
\(158\) −12.4395 + 38.2849i −0.989635 + 3.04578i
\(159\) 25.2174 18.3215i 1.99987 1.45299i
\(160\) 18.6951 1.47798
\(161\) −6.96703 −0.549079
\(162\) −20.5777 + 14.9506i −1.61674 + 1.17463i
\(163\) −9.41250 6.83858i −0.737244 0.535639i 0.154603 0.987977i \(-0.450590\pi\)
−0.891847 + 0.452338i \(0.850590\pi\)
\(164\) 0.494596 + 0.359345i 0.0386215 + 0.0280601i
\(165\) 4.18001 + 12.8647i 0.325413 + 1.00152i
\(166\) −28.0585 + 20.3857i −2.17776 + 1.58223i
\(167\) −4.67412 14.3855i −0.361694 1.11318i −0.952025 0.306020i \(-0.901003\pi\)
0.590331 0.807161i \(-0.298997\pi\)
\(168\) 2.78427 8.56911i 0.214811 0.661121i
\(169\) −0.809017 0.587785i −0.0622321 0.0452143i
\(170\) −14.6943 + 45.2244i −1.12700 + 3.46855i
\(171\) 0.749670 2.30725i 0.0573287 0.176440i
\(172\) −10.6667 7.74980i −0.813327 0.590917i
\(173\) −2.42211 + 7.45450i −0.184150 + 0.566755i −0.999933 0.0116033i \(-0.996306\pi\)
0.815783 + 0.578358i \(0.196306\pi\)
\(174\) −7.78678 23.9652i −0.590314 1.81680i
\(175\) 10.1635 7.38425i 0.768292 0.558197i
\(176\) 0.336562 + 1.03583i 0.0253693 + 0.0780786i
\(177\) −12.7712 9.27884i −0.959945 0.697441i
\(178\) 20.9398 + 15.2137i 1.56950 + 1.14031i
\(179\) −7.34127 + 5.33375i −0.548713 + 0.398663i −0.827311 0.561745i \(-0.810130\pi\)
0.278598 + 0.960408i \(0.410130\pi\)
\(180\) 26.8481 2.00114
\(181\) 24.4100 1.81438 0.907191 0.420719i \(-0.138222\pi\)
0.907191 + 0.420719i \(0.138222\pi\)
\(182\) −2.33935 + 1.69964i −0.173404 + 0.125986i
\(183\) 2.48919 7.66093i 0.184006 0.566312i
\(184\) −5.56764 17.1354i −0.410452 1.26324i
\(185\) 3.83530 0.281977
\(186\) 1.21742 28.9895i 0.0892657 2.12561i
\(187\) 8.18246 0.598361
\(188\) −3.11238 9.57891i −0.226993 0.698614i
\(189\) 0.829341 2.55245i 0.0603257 0.185663i
\(190\) 8.67176 6.30040i 0.629116 0.457079i
\(191\) 9.10163 0.658571 0.329285 0.944230i \(-0.393192\pi\)
0.329285 + 0.944230i \(0.393192\pi\)
\(192\) −28.2368 −2.03782
\(193\) −20.0958 + 14.6005i −1.44653 + 1.05096i −0.459902 + 0.887970i \(0.652116\pi\)
−0.986627 + 0.162995i \(0.947884\pi\)
\(194\) −7.11628 5.17028i −0.510919 0.371205i
\(195\) −7.05436 5.12529i −0.505173 0.367030i
\(196\) −5.70375 17.5543i −0.407411 1.25388i
\(197\) 6.19912 4.50393i 0.441669 0.320891i −0.344629 0.938739i \(-0.611995\pi\)
0.786298 + 0.617848i \(0.211995\pi\)
\(198\) −2.27040 6.98757i −0.161350 0.496585i
\(199\) −7.21947 + 22.2193i −0.511775 + 1.57508i 0.277299 + 0.960784i \(0.410561\pi\)
−0.789074 + 0.614298i \(0.789439\pi\)
\(200\) 26.2837 + 19.0962i 1.85854 + 1.35031i
\(201\) 7.32212 22.5352i 0.516462 1.58951i
\(202\) 14.3847 44.2717i 1.01211 3.11495i
\(203\) 4.87325 + 3.54062i 0.342035 + 0.248503i
\(204\) 12.3975 38.1556i 0.868000 2.67143i
\(205\) −0.216577 0.666554i −0.0151264 0.0465542i
\(206\) 7.25090 5.26809i 0.505194 0.367045i
\(207\) 3.52628 + 10.8528i 0.245094 + 0.754321i
\(208\) −0.567996 0.412673i −0.0393834 0.0286137i
\(209\) −1.49219 1.08414i −0.103217 0.0749917i
\(210\) −20.3984 + 14.8203i −1.40762 + 1.02270i
\(211\) −15.2545 −1.05017 −0.525083 0.851051i \(-0.675966\pi\)
−0.525083 + 0.851051i \(0.675966\pi\)
\(212\) −47.0372 −3.23053
\(213\) −7.95116 + 5.77685i −0.544804 + 0.395823i
\(214\) −1.29130 + 3.97420i −0.0882712 + 0.271671i
\(215\) 4.67079 + 14.3752i 0.318545 + 0.980382i
\(216\) 6.94052 0.472242
\(217\) 3.83784 + 5.77746i 0.260530 + 0.392199i
\(218\) 12.7616 0.864324
\(219\) 6.95563 + 21.4072i 0.470018 + 1.44657i
\(220\) 6.30777 19.4133i 0.425270 1.30884i
\(221\) −4.26724 + 3.10033i −0.287045 + 0.208551i
\(222\) −5.14606 −0.345381
\(223\) −22.8438 −1.52973 −0.764866 0.644189i \(-0.777195\pi\)
−0.764866 + 0.644189i \(0.777195\pi\)
\(224\) 4.85117 3.52458i 0.324133 0.235496i
\(225\) −16.6469 12.0947i −1.10979 0.806311i
\(226\) −20.9604 15.2286i −1.39427 1.01299i
\(227\) −6.90128 21.2399i −0.458054 1.40974i −0.867512 0.497416i \(-0.834282\pi\)
0.409458 0.912329i \(-0.365718\pi\)
\(228\) −7.31634 + 5.31563i −0.484536 + 0.352036i
\(229\) −6.51520 20.0517i −0.430536 1.32505i −0.897592 0.440827i \(-0.854685\pi\)
0.467056 0.884228i \(-0.345315\pi\)
\(230\) −15.5804 + 47.9516i −1.02734 + 3.16183i
\(231\) 3.51005 + 2.55020i 0.230944 + 0.167791i
\(232\) −4.81376 + 14.8152i −0.316039 + 0.972668i
\(233\) 6.40262 19.7053i 0.419450 1.29093i −0.488760 0.872418i \(-0.662551\pi\)
0.908210 0.418516i \(-0.137449\pi\)
\(234\) 3.83162 + 2.78384i 0.250481 + 0.181985i
\(235\) −3.56803 + 10.9813i −0.232753 + 0.716339i
\(236\) 7.36132 + 22.6558i 0.479181 + 1.47477i
\(237\) −31.4994 + 22.8856i −2.04610 + 1.48658i
\(238\) 4.71313 + 14.5055i 0.305507 + 0.940253i
\(239\) −0.296222 0.215218i −0.0191610 0.0139213i 0.578164 0.815921i \(-0.303770\pi\)
−0.597325 + 0.802000i \(0.703770\pi\)
\(240\) −4.95273 3.59837i −0.319697 0.232274i
\(241\) 17.8986 13.0041i 1.15295 0.837668i 0.164080 0.986447i \(-0.447534\pi\)
0.988870 + 0.148779i \(0.0475343\pi\)
\(242\) 19.9471 1.28225
\(243\) −18.1384 −1.16358
\(244\) −9.83402 + 7.14483i −0.629559 + 0.457401i
\(245\) −6.53878 + 20.1243i −0.417748 + 1.28569i
\(246\) 0.290594 + 0.894356i 0.0185276 + 0.0570221i
\(247\) 1.18897 0.0756526
\(248\) −11.1427 + 14.0562i −0.707562 + 0.892569i
\(249\) −33.5451 −2.12583
\(250\) −14.1651 43.5956i −0.895877 2.75723i
\(251\) −0.692247 + 2.13052i −0.0436942 + 0.134477i −0.970524 0.241005i \(-0.922523\pi\)
0.926830 + 0.375482i \(0.122523\pi\)
\(252\) 6.96678 5.06166i 0.438866 0.318855i
\(253\) 8.67590 0.545449
\(254\) 26.2471 1.64689
\(255\) −37.2089 + 27.0338i −2.33011 + 1.69292i
\(256\) 16.3941 + 11.9110i 1.02463 + 0.744439i
\(257\) −7.22790 5.25138i −0.450864 0.327572i 0.339073 0.940760i \(-0.389887\pi\)
−0.789937 + 0.613188i \(0.789887\pi\)
\(258\) −6.26709 19.2881i −0.390172 1.20083i
\(259\) 0.995217 0.723067i 0.0618398 0.0449292i
\(260\) 4.06612 + 12.5142i 0.252170 + 0.776100i
\(261\) 3.04881 9.38328i 0.188717 0.580811i
\(262\) −12.8762 9.35512i −0.795495 0.577961i
\(263\) −2.38837 + 7.35066i −0.147273 + 0.453261i −0.997296 0.0734847i \(-0.976588\pi\)
0.850023 + 0.526746i \(0.176588\pi\)
\(264\) −3.46720 + 10.6709i −0.213391 + 0.656751i
\(265\) 43.6250 + 31.6954i 2.67986 + 1.94703i
\(266\) 1.06241 3.26977i 0.0651406 0.200482i
\(267\) 7.73606 + 23.8092i 0.473439 + 1.45710i
\(268\) −28.9275 + 21.0170i −1.76703 + 1.28382i
\(269\) 1.69059 + 5.20309i 0.103077 + 0.317238i 0.989274 0.146070i \(-0.0466625\pi\)
−0.886197 + 0.463308i \(0.846662\pi\)
\(270\) −15.7129 11.4161i −0.956259 0.694763i
\(271\) 0.487400 + 0.354117i 0.0296074 + 0.0215111i 0.602491 0.798126i \(-0.294175\pi\)
−0.572883 + 0.819637i \(0.694175\pi\)
\(272\) −2.99595 + 2.17668i −0.181656 + 0.131981i
\(273\) −2.79679 −0.169270
\(274\) −22.2621 −1.34491
\(275\) −12.6565 + 9.19546i −0.763213 + 0.554507i
\(276\) 13.1451 40.4566i 0.791245 2.43520i
\(277\) −5.96129 18.3470i −0.358179 1.10236i −0.954143 0.299351i \(-0.903230\pi\)
0.595964 0.803011i \(-0.296770\pi\)
\(278\) 1.22297 0.0733492
\(279\) 7.05726 8.90254i 0.422507 0.532981i
\(280\) 15.5871 0.931505
\(281\) −0.836384 2.57412i −0.0498945 0.153559i 0.923005 0.384788i \(-0.125725\pi\)
−0.972899 + 0.231229i \(0.925725\pi\)
\(282\) 4.78744 14.7342i 0.285088 0.877411i
\(283\) 16.8187 12.2195i 0.999767 0.726374i 0.0377292 0.999288i \(-0.487988\pi\)
0.962038 + 0.272914i \(0.0879876\pi\)
\(284\) 14.8310 0.880059
\(285\) 10.3675 0.614115
\(286\) 2.91315 2.11653i 0.172258 0.125153i
\(287\) −0.181864 0.132132i −0.0107351 0.00779952i
\(288\) −7.94573 5.77291i −0.468207 0.340172i
\(289\) 3.34398 + 10.2917i 0.196704 + 0.605394i
\(290\) 35.2670 25.6229i 2.07095 1.50463i
\(291\) −2.62906 8.09141i −0.154118 0.474327i
\(292\) 10.4963 32.3042i 0.614248 1.89046i
\(293\) −2.66717 1.93781i −0.155818 0.113208i 0.507145 0.861861i \(-0.330701\pi\)
−0.662962 + 0.748653i \(0.730701\pi\)
\(294\) 8.77348 27.0020i 0.511680 1.57479i
\(295\) 8.43902 25.9726i 0.491339 1.51219i
\(296\) 2.57371 + 1.86991i 0.149594 + 0.108686i
\(297\) −1.03276 + 3.17851i −0.0599269 + 0.184436i
\(298\) 7.38704 + 22.7350i 0.427920 + 1.31700i
\(299\) −4.52457 + 3.28729i −0.261663 + 0.190109i
\(300\) 23.7031 + 72.9507i 1.36850 + 4.21181i
\(301\) 3.92217 + 2.84962i 0.226070 + 0.164250i
\(302\) −9.96842 7.24248i −0.573618 0.416758i
\(303\) 36.4250 26.4643i 2.09256 1.52034i
\(304\) 0.834757 0.0478766
\(305\) 13.9351 0.797921
\(306\) 20.2103 14.6836i 1.15534 0.839406i
\(307\) −9.48164 + 29.1815i −0.541146 + 1.66547i 0.188837 + 0.982009i \(0.439528\pi\)
−0.729982 + 0.683466i \(0.760472\pi\)
\(308\) −2.02319 6.22673i −0.115282 0.354801i
\(309\) 8.66876 0.493149
\(310\) 48.3468 13.4944i 2.74591 0.766428i
\(311\) 5.61147 0.318197 0.159099 0.987263i \(-0.449141\pi\)
0.159099 + 0.987263i \(0.449141\pi\)
\(312\) −2.23503 6.87872i −0.126534 0.389431i
\(313\) 3.91515 12.0496i 0.221298 0.681084i −0.777349 0.629070i \(-0.783436\pi\)
0.998646 0.0520140i \(-0.0165640\pi\)
\(314\) 26.5790 19.3108i 1.49994 1.08977i
\(315\) −9.87212 −0.556231
\(316\) 58.7547 3.30521
\(317\) −9.60588 + 6.97908i −0.539520 + 0.391984i −0.823907 0.566725i \(-0.808210\pi\)
0.284387 + 0.958710i \(0.408210\pi\)
\(318\) −58.5343 42.5277i −3.28244 2.38483i
\(319\) −6.06856 4.40907i −0.339774 0.246860i
\(320\) −15.0950 46.4577i −0.843836 2.59706i
\(321\) −3.26982 + 2.37566i −0.182504 + 0.132597i
\(322\) 4.99735 + 15.3803i 0.278491 + 0.857108i
\(323\) 1.93796 5.96442i 0.107831 0.331869i
\(324\) 30.0344 + 21.8213i 1.66858 + 1.21229i
\(325\) 3.11632 9.59105i 0.172862 0.532016i
\(326\) −8.34525 + 25.6840i −0.462201 + 1.42251i
\(327\) 9.98585 + 7.25515i 0.552219 + 0.401211i
\(328\) 0.179644 0.552888i 0.00991919 0.0305281i
\(329\) 1.14443 + 3.52219i 0.0630945 + 0.194185i
\(330\) 25.4017 18.4554i 1.39832 1.01594i
\(331\) 6.26706 + 19.2880i 0.344469 + 1.06017i 0.961868 + 0.273515i \(0.0881863\pi\)
−0.617399 + 0.786650i \(0.711814\pi\)
\(332\) 40.9529 + 29.7540i 2.24758 + 1.63297i
\(333\) −1.63007 1.18431i −0.0893270 0.0648999i
\(334\) −28.4044 + 20.6370i −1.55422 + 1.12921i
\(335\) 40.9911 2.23958
\(336\) −1.96358 −0.107122
\(337\) −23.9184 + 17.3777i −1.30292 + 0.946625i −0.999980 0.00638593i \(-0.997967\pi\)
−0.302937 + 0.953010i \(0.597967\pi\)
\(338\) −0.717286 + 2.20758i −0.0390152 + 0.120076i
\(339\) −7.74368 23.8326i −0.420579 1.29441i
\(340\) 69.4044 3.76398
\(341\) −4.77919 7.19455i −0.258808 0.389607i
\(342\) −5.63116 −0.304498
\(343\) 4.79197 + 14.7482i 0.258742 + 0.796327i
\(344\) −3.87429 + 11.9238i −0.208888 + 0.642891i
\(345\) −39.4527 + 28.6641i −2.12406 + 1.54322i
\(346\) 18.1937 0.978102
\(347\) −5.91506 −0.317537 −0.158768 0.987316i \(-0.550752\pi\)
−0.158768 + 0.987316i \(0.550752\pi\)
\(348\) −29.7546 + 21.6180i −1.59501 + 1.15885i
\(349\) 14.7537 + 10.7192i 0.789750 + 0.573787i 0.907889 0.419210i \(-0.137693\pi\)
−0.118139 + 0.992997i \(0.537693\pi\)
\(350\) −23.5915 17.1402i −1.26102 0.916183i
\(351\) −0.665741 2.04894i −0.0355346 0.109364i
\(352\) −6.04107 + 4.38909i −0.321990 + 0.233939i
\(353\) 5.09422 + 15.6784i 0.271138 + 0.834476i 0.990216 + 0.139547i \(0.0445645\pi\)
−0.719078 + 0.694930i \(0.755436\pi\)
\(354\) −11.3232 + 34.8491i −0.601819 + 1.85221i
\(355\) −13.7551 9.99370i −0.730047 0.530410i
\(356\) 11.6740 35.9288i 0.618719 1.90422i
\(357\) −4.55860 + 14.0299i −0.241267 + 0.742543i
\(358\) 17.0405 + 12.3806i 0.900616 + 0.654336i
\(359\) 8.59887 26.4646i 0.453831 1.39675i −0.418671 0.908138i \(-0.637504\pi\)
0.872502 0.488611i \(-0.162496\pi\)
\(360\) −7.88922 24.2805i −0.415798 1.27970i
\(361\) 14.2276 10.3370i 0.748824 0.544052i
\(362\) −17.5090 53.8870i −0.920250 2.83224i
\(363\) 15.6084 + 11.3402i 0.819230 + 0.595205i
\(364\) 3.41442 + 2.48072i 0.178964 + 0.130025i
\(365\) −31.5026 + 22.8880i −1.64892 + 1.19801i
\(366\) −18.6976 −0.977337
\(367\) 26.7543 1.39656 0.698280 0.715824i \(-0.253949\pi\)
0.698280 + 0.715824i \(0.253949\pi\)
\(368\) −3.17661 + 2.30795i −0.165592 + 0.120310i
\(369\) −0.113778 + 0.350174i −0.00592306 + 0.0182293i
\(370\) −2.75101 8.46673i −0.143018 0.440164i
\(371\) 17.2957 0.897948
\(372\) −40.7900 + 11.3851i −2.11486 + 0.590292i
\(373\) −33.4961 −1.73436 −0.867181 0.497994i \(-0.834070\pi\)
−0.867181 + 0.497994i \(0.834070\pi\)
\(374\) −5.86916 18.0634i −0.303487 0.934038i
\(375\) 13.7006 42.1662i 0.707498 2.17746i
\(376\) −7.74828 + 5.62946i −0.399587 + 0.290317i
\(377\) 4.83541 0.249036
\(378\) −6.22961 −0.320416
\(379\) −29.6133 + 21.5153i −1.52113 + 1.10517i −0.560208 + 0.828352i \(0.689279\pi\)
−0.960923 + 0.276814i \(0.910721\pi\)
\(380\) −12.6569 9.19580i −0.649287 0.471735i
\(381\) 20.5382 + 14.9219i 1.05220 + 0.764470i
\(382\) −6.52847 20.0926i −0.334026 1.02802i
\(383\) −7.60391 + 5.52456i −0.388542 + 0.282292i −0.764858 0.644199i \(-0.777191\pi\)
0.376316 + 0.926491i \(0.377191\pi\)
\(384\) 13.5750 + 41.7795i 0.692745 + 2.13205i
\(385\) −2.31938 + 7.13833i −0.118207 + 0.363803i
\(386\) 46.6461 + 33.8904i 2.37423 + 1.72498i
\(387\) 2.45380 7.55201i 0.124734 0.383890i
\(388\) −3.96734 + 12.2102i −0.201411 + 0.619879i
\(389\) −15.7806 11.4653i −0.800107 0.581312i 0.110839 0.993838i \(-0.464646\pi\)
−0.910946 + 0.412527i \(0.864646\pi\)
\(390\) −6.25449 + 19.2493i −0.316708 + 0.974728i
\(391\) 9.11572 + 28.0553i 0.461002 + 1.41882i
\(392\) −14.1995 + 10.3166i −0.717185 + 0.521065i
\(393\) −4.75703 14.6406i −0.239960 0.738522i
\(394\) −14.3893 10.4544i −0.724923 0.526688i
\(395\) −54.4925 39.5911i −2.74181 1.99204i
\(396\) −8.67559 + 6.30318i −0.435965 + 0.316747i
\(397\) 9.36246 0.469888 0.234944 0.972009i \(-0.424509\pi\)
0.234944 + 0.972009i \(0.424509\pi\)
\(398\) 54.2292 2.71826
\(399\) 2.69024 1.95457i 0.134680 0.0978510i
\(400\) 2.18791 6.73369i 0.109395 0.336685i
\(401\) −0.135585 0.417287i −0.00677079 0.0208383i 0.947614 0.319418i \(-0.103487\pi\)
−0.954385 + 0.298579i \(0.903487\pi\)
\(402\) −55.0002 −2.74316
\(403\) 5.21840 + 1.94120i 0.259947 + 0.0966980i
\(404\) −67.9424 −3.38026
\(405\) −13.1516 40.4766i −0.653510 2.01130i
\(406\) 4.32069 13.2977i 0.214432 0.659955i
\(407\) −1.23932 + 0.900422i −0.0614310 + 0.0446322i
\(408\) −38.1496 −1.88869
\(409\) 15.6919 0.775915 0.387957 0.921677i \(-0.373181\pi\)
0.387957 + 0.921677i \(0.373181\pi\)
\(410\) −1.31612 + 0.956220i −0.0649987 + 0.0472243i
\(411\) −17.4200 12.6563i −0.859263 0.624291i
\(412\) −10.5831 7.68908i −0.521392 0.378814i
\(413\) −2.70678 8.33061i −0.133192 0.409923i
\(414\) 21.4290 15.5691i 1.05318 0.765179i
\(415\) −17.9327 55.1912i −0.880282 2.70923i
\(416\) 1.48745 4.57791i 0.0729284 0.224451i
\(417\) 0.956969 + 0.695278i 0.0468630 + 0.0340479i
\(418\) −1.32300 + 4.07178i −0.0647100 + 0.199157i
\(419\) 1.45398 4.47490i 0.0710317 0.218613i −0.909238 0.416276i \(-0.863335\pi\)
0.980270 + 0.197663i \(0.0633351\pi\)
\(420\) 29.7726 + 21.6310i 1.45275 + 1.05549i
\(421\) 2.21740 6.82446i 0.108070 0.332604i −0.882369 0.470558i \(-0.844053\pi\)
0.990439 + 0.137954i \(0.0440526\pi\)
\(422\) 10.9419 + 33.6756i 0.532642 + 1.63930i
\(423\) 4.90740 3.56544i 0.238606 0.173358i
\(424\) 13.8217 + 42.5388i 0.671242 + 2.06587i
\(425\) −43.0335 31.2656i −2.08743 1.51661i
\(426\) 18.4561 + 13.4092i 0.894202 + 0.649675i
\(427\) 3.61600 2.62718i 0.174990 0.127138i
\(428\) 6.09908 0.294810
\(429\) 3.48279 0.168151
\(430\) 28.3841 20.6223i 1.36880 0.994495i
\(431\) 9.41486 28.9760i 0.453498 1.39572i −0.419392 0.907805i \(-0.637757\pi\)
0.872890 0.487918i \(-0.162243\pi\)
\(432\) −0.467404 1.43852i −0.0224880 0.0692109i
\(433\) −20.8162 −1.00036 −0.500182 0.865920i \(-0.666734\pi\)
−0.500182 + 0.865920i \(0.666734\pi\)
\(434\) 10.0014 12.6164i 0.480080 0.605608i
\(435\) 42.1631 2.02157
\(436\) −5.75584 17.7146i −0.275655 0.848377i
\(437\) 2.05482 6.32410i 0.0982955 0.302523i
\(438\) 42.2690 30.7102i 2.01969 1.46739i
\(439\) −11.1604 −0.532659 −0.266329 0.963882i \(-0.585811\pi\)
−0.266329 + 0.963882i \(0.585811\pi\)
\(440\) −19.4103 −0.925348
\(441\) 8.99332 6.53403i 0.428253 0.311144i
\(442\) 9.90505 + 7.19644i 0.471135 + 0.342300i
\(443\) 17.2498 + 12.5327i 0.819565 + 0.595448i 0.916588 0.399834i \(-0.130932\pi\)
−0.0970232 + 0.995282i \(0.530932\pi\)
\(444\) 2.32102 + 7.14335i 0.110151 + 0.339008i
\(445\) −35.0373 + 25.4561i −1.66093 + 1.20673i
\(446\) 16.3855 + 50.4294i 0.775876 + 2.38790i
\(447\) −7.14485 + 21.9896i −0.337940 + 1.04007i
\(448\) −12.6756 9.20938i −0.598867 0.435102i
\(449\) −4.05994 + 12.4952i −0.191601 + 0.589686i 0.808399 + 0.588635i \(0.200334\pi\)
−0.999999 + 0.00105082i \(0.999666\pi\)
\(450\) −14.7593 + 45.4246i −0.695762 + 2.14134i
\(451\) 0.226472 + 0.164542i 0.0106642 + 0.00774796i
\(452\) −11.6855 + 35.9642i −0.549638 + 1.69161i
\(453\) −3.68276 11.3344i −0.173031 0.532536i
\(454\) −41.9387 + 30.4702i −1.96828 + 1.43004i
\(455\) −1.49513 4.60152i −0.0700925 0.215723i
\(456\) 6.95716 + 5.05467i 0.325799 + 0.236707i
\(457\) −9.14596 6.64493i −0.427830 0.310837i 0.352951 0.935642i \(-0.385178\pi\)
−0.780781 + 0.624805i \(0.785178\pi\)
\(458\) −39.5925 + 28.7656i −1.85004 + 1.34413i
\(459\) −11.3635 −0.530402
\(460\) 73.5898 3.43114
\(461\) −10.2089 + 7.41720i −0.475476 + 0.345453i −0.799571 0.600571i \(-0.794940\pi\)
0.324096 + 0.946024i \(0.394940\pi\)
\(462\) 3.11206 9.57793i 0.144786 0.445606i
\(463\) 2.67160 + 8.22234i 0.124160 + 0.382124i 0.993747 0.111655i \(-0.0356151\pi\)
−0.869587 + 0.493779i \(0.835615\pi\)
\(464\) 3.39485 0.157602
\(465\) 45.5027 + 16.9266i 2.11014 + 0.784952i
\(466\) −48.0934 −2.22788
\(467\) 13.2787 + 40.8675i 0.614463 + 1.89112i 0.409325 + 0.912389i \(0.365764\pi\)
0.205138 + 0.978733i \(0.434236\pi\)
\(468\) 2.13613 6.57435i 0.0987429 0.303899i
\(469\) 10.6367 7.72802i 0.491158 0.356847i
\(470\) 26.8013 1.23625
\(471\) 31.7763 1.46417
\(472\) 18.3261 13.3147i 0.843526 0.612857i
\(473\) −4.88420 3.54858i −0.224576 0.163164i
\(474\) 73.1158 + 53.1218i 3.35832 + 2.43996i
\(475\) 3.70523 + 11.4035i 0.170007 + 0.523229i
\(476\) 18.0097 13.0848i 0.825471 0.599740i
\(477\) −8.75403 26.9421i −0.400819 1.23360i
\(478\) −0.262634 + 0.808305i −0.0120126 + 0.0369710i
\(479\) −28.7988 20.9235i −1.31585 0.956020i −0.999974 0.00721931i \(-0.997702\pi\)
−0.315875 0.948801i \(-0.602298\pi\)
\(480\) 12.9701 39.9178i 0.592001 1.82199i
\(481\) 0.305151 0.939158i 0.0139137 0.0428219i
\(482\) −41.5460 30.1849i −1.89237 1.37489i
\(483\) −4.83351 + 14.8760i −0.219932 + 0.676882i
\(484\) −8.99668 27.6889i −0.408940 1.25859i
\(485\) 11.9072 8.65110i 0.540679 0.392826i
\(486\) 13.0104 + 40.0420i 0.590165 + 1.81634i
\(487\) 3.24552 + 2.35801i 0.147068 + 0.106851i 0.658886 0.752242i \(-0.271028\pi\)
−0.511818 + 0.859094i \(0.671028\pi\)
\(488\) 9.35124 + 6.79407i 0.423311 + 0.307553i
\(489\) −21.1318 + 15.3532i −0.955615 + 0.694295i
\(490\) 49.1162 2.21884
\(491\) −5.50408 −0.248396 −0.124198 0.992257i \(-0.539636\pi\)
−0.124198 + 0.992257i \(0.539636\pi\)
\(492\) 1.11041 0.806760i 0.0500611 0.0363715i
\(493\) 7.88142 24.2565i 0.354961 1.09246i
\(494\) −0.852835 2.62476i −0.0383708 0.118093i
\(495\) 12.2936 0.552554
\(496\) 3.66374 + 1.36288i 0.164507 + 0.0611951i
\(497\) −5.45341 −0.244619
\(498\) 24.0614 + 74.0534i 1.07822 + 3.31841i
\(499\) −5.85623 + 18.0236i −0.262161 + 0.806848i 0.730173 + 0.683262i \(0.239439\pi\)
−0.992334 + 0.123586i \(0.960561\pi\)
\(500\) −54.1271 + 39.3256i −2.42064 + 1.75870i
\(501\) −33.9586 −1.51716
\(502\) 5.19982 0.232079
\(503\) 11.2695 8.18775i 0.502481 0.365074i −0.307483 0.951554i \(-0.599487\pi\)
0.809964 + 0.586480i \(0.199487\pi\)
\(504\) −6.62476 4.81317i −0.295090 0.214395i
\(505\) 63.0137 + 45.7821i 2.80407 + 2.03728i
\(506\) −6.22310 19.1527i −0.276651 0.851443i
\(507\) −1.81631 + 1.31963i −0.0806652 + 0.0586067i
\(508\) −11.8382 36.4342i −0.525234 1.61651i
\(509\) −0.362860 + 1.11677i −0.0160835 + 0.0494999i −0.958776 0.284162i \(-0.908285\pi\)
0.942693 + 0.333662i \(0.108285\pi\)
\(510\) 86.3687 + 62.7505i 3.82447 + 2.77864i
\(511\) −3.85951 + 11.8783i −0.170735 + 0.525467i
\(512\) 2.44219 7.51629i 0.107931 0.332176i
\(513\) 2.07230 + 1.50562i 0.0914944 + 0.0664746i
\(514\) −6.40836 + 19.7229i −0.282661 + 0.869940i
\(515\) 4.63419 + 14.2626i 0.204207 + 0.628484i
\(516\) −23.9476 + 17.3990i −1.05423 + 0.765946i
\(517\) −1.42514 4.38612i −0.0626774 0.192901i
\(518\) −2.31008 1.67837i −0.101499 0.0737435i
\(519\) 14.2365 + 10.3434i 0.624912 + 0.454025i
\(520\) 10.1226 7.35453i 0.443907 0.322517i
\(521\) −19.1804 −0.840308 −0.420154 0.907453i \(-0.638024\pi\)
−0.420154 + 0.907453i \(0.638024\pi\)
\(522\) −22.9012 −1.00236
\(523\) 9.92588 7.21157i 0.434028 0.315340i −0.349229 0.937037i \(-0.613557\pi\)
0.783258 + 0.621697i \(0.213557\pi\)
\(524\) −7.17851 + 22.0932i −0.313595 + 0.965145i
\(525\) −8.71570 26.8242i −0.380385 1.17070i
\(526\) 17.9403 0.782234
\(527\) 18.2436 23.0138i 0.794703 1.00250i
\(528\) 2.44520 0.106414
\(529\) 2.55805 + 7.87286i 0.111219 + 0.342298i
\(530\) 38.6785 119.040i 1.68009 5.17078i
\(531\) −11.6069 + 8.43289i −0.503696 + 0.365956i
\(532\) −5.01801 −0.217558
\(533\) −0.180452 −0.00781625
\(534\) 47.0116 34.1559i 2.03439 1.47807i
\(535\) −5.65664 4.10979i −0.244558 0.177682i
\(536\) 27.5073 + 19.9852i 1.18814 + 0.863231i
\(537\) 6.29548 + 19.3755i 0.271670 + 0.836114i
\(538\) 10.2736 7.46420i 0.442926 0.321805i
\(539\) −2.61171 8.03801i −0.112494 0.346222i
\(540\) −8.75999 + 26.9605i −0.376970 + 1.16019i
\(541\) −22.5930 16.4148i −0.971348 0.705726i −0.0155896 0.999878i \(-0.504963\pi\)
−0.955758 + 0.294153i \(0.904963\pi\)
\(542\) 0.432135 1.32998i 0.0185618 0.0571274i
\(543\) 16.9349 52.1203i 0.726746 2.23670i
\(544\) −20.5403 14.9234i −0.880660 0.639837i
\(545\) −6.59849 + 20.3081i −0.282648 + 0.869902i
\(546\) 2.00610 + 6.17414i 0.0858532 + 0.264229i
\(547\) 3.69217 2.68252i 0.157866 0.114696i −0.506048 0.862505i \(-0.668894\pi\)
0.663914 + 0.747809i \(0.268894\pi\)
\(548\) 10.0408 + 30.9026i 0.428924 + 1.32009i
\(549\) −5.92264 4.30305i −0.252772 0.183650i
\(550\) 29.3780 + 21.3444i 1.25268 + 0.910127i
\(551\) −4.65118 + 3.37928i −0.198147 + 0.143962i
\(552\) −40.4502 −1.72168
\(553\) −21.6043 −0.918707
\(554\) −36.2264 + 26.3200i −1.53911 + 1.11823i
\(555\) 2.66081 8.18914i 0.112945 0.347610i
\(556\) −0.551596 1.69764i −0.0233929 0.0719959i
\(557\) −31.1325 −1.31913 −0.659564 0.751649i \(-0.729259\pi\)
−0.659564 + 0.751649i \(0.729259\pi\)
\(558\) −24.7151 9.19380i −1.04627 0.389205i
\(559\) 3.89171 0.164602
\(560\) −1.04970 3.23064i −0.0443579 0.136520i
\(561\) 5.67674 17.4712i 0.239672 0.737635i
\(562\) −5.08266 + 3.69277i −0.214399 + 0.155770i
\(563\) −23.5013 −0.990462 −0.495231 0.868761i \(-0.664917\pi\)
−0.495231 + 0.868761i \(0.664917\pi\)
\(564\) −22.6122 −0.952144
\(565\) 35.0718 25.4811i 1.47548 1.07200i
\(566\) −39.0393 28.3637i −1.64094 1.19222i
\(567\) −11.0437 8.02374i −0.463793 0.336965i
\(568\) −4.35804 13.4127i −0.182859 0.562784i
\(569\) 15.1048 10.9743i 0.633226 0.460065i −0.224291 0.974522i \(-0.572006\pi\)
0.857516 + 0.514457i \(0.172006\pi\)
\(570\) −7.43643 22.8870i −0.311478 0.958630i
\(571\) 3.23810 9.96583i 0.135510 0.417057i −0.860159 0.510026i \(-0.829636\pi\)
0.995669 + 0.0929690i \(0.0296357\pi\)
\(572\) −4.25191 3.08919i −0.177781 0.129166i
\(573\) 6.31443 19.4338i 0.263789 0.811859i
\(574\) −0.161243 + 0.496256i −0.00673017 + 0.0207133i
\(575\) −45.6286 33.1511i −1.90284 1.38250i
\(576\) −7.93015 + 24.4065i −0.330423 + 1.01694i
\(577\) 10.7467 + 33.0749i 0.447390 + 1.37693i 0.879841 + 0.475268i \(0.157649\pi\)
−0.432451 + 0.901657i \(0.642351\pi\)
\(578\) 20.3211 14.7642i 0.845248 0.614109i
\(579\) 17.2331 + 53.0380i 0.716183 + 2.20418i
\(580\) −51.4741 37.3981i −2.13735 1.55287i
\(581\) −15.0585 10.9406i −0.624732 0.453895i
\(582\) −15.9766 + 11.6077i −0.662253 + 0.481155i
\(583\) −21.5380 −0.892013
\(584\) −32.2991 −1.33655
\(585\) −6.41121 + 4.65802i −0.265071 + 0.192585i
\(586\) −2.36475 + 7.27794i −0.0976868 + 0.300649i
\(587\) −1.23627 3.80485i −0.0510263 0.157043i 0.922296 0.386483i \(-0.126310\pi\)
−0.973323 + 0.229441i \(0.926310\pi\)
\(588\) −41.4391 −1.70892
\(589\) −6.37622 + 1.77970i −0.262727 + 0.0733314i
\(590\) −63.3899 −2.60972
\(591\) −5.31603 16.3611i −0.218672 0.673004i
\(592\) 0.214241 0.659365i 0.00880524 0.0270997i
\(593\) −26.1645 + 19.0096i −1.07445 + 0.780633i −0.976707 0.214579i \(-0.931162\pi\)
−0.0977419 + 0.995212i \(0.531162\pi\)
\(594\) 7.75761 0.318298
\(595\) −25.5202 −1.04623
\(596\) 28.2271 20.5082i 1.15623 0.840049i
\(597\) 42.4339 + 30.8301i 1.73671 + 1.26179i
\(598\) 10.5024 + 7.63041i 0.429474 + 0.312031i
\(599\) 7.71260 + 23.7369i 0.315128 + 0.969865i 0.975702 + 0.219103i \(0.0703132\pi\)
−0.660574 + 0.750761i \(0.729687\pi\)
\(600\) 59.0091 42.8726i 2.40904 1.75027i
\(601\) −5.22269 16.0738i −0.213038 0.655663i −0.999287 0.0377535i \(-0.987980\pi\)
0.786249 0.617909i \(-0.212020\pi\)
\(602\) 3.47745 10.7025i 0.141730 0.436201i
\(603\) −17.4219 12.6577i −0.709473 0.515463i
\(604\) −5.55741 + 17.1039i −0.226128 + 0.695949i
\(605\) −10.3138 + 31.7426i −0.419315 + 1.29052i
\(606\) −84.5493 61.4287i −3.43458 2.49537i
\(607\) 3.12048 9.60384i 0.126656 0.389808i −0.867543 0.497362i \(-0.834302\pi\)
0.994199 + 0.107554i \(0.0343020\pi\)
\(608\) 1.76854 + 5.44302i 0.0717240 + 0.220744i
\(609\) 10.9409 7.94900i 0.443346 0.322110i
\(610\) −9.99544 30.7628i −0.404704 1.24555i
\(611\) 2.40512 + 1.74742i 0.0973007 + 0.0706931i
\(612\) −29.4980 21.4316i −1.19239 0.866320i
\(613\) 3.41928 2.48425i 0.138104 0.100338i −0.516589 0.856234i \(-0.672798\pi\)
0.654692 + 0.755896i \(0.272798\pi\)
\(614\) 71.2214 2.87426
\(615\) −1.57348 −0.0634489
\(616\) −5.03674 + 3.65941i −0.202936 + 0.147442i
\(617\) −3.77969 + 11.6327i −0.152165 + 0.468314i −0.997863 0.0653474i \(-0.979184\pi\)
0.845698 + 0.533662i \(0.179184\pi\)
\(618\) −6.21798 19.1370i −0.250124 0.769802i
\(619\) −2.76594 −0.111172 −0.0555862 0.998454i \(-0.517703\pi\)
−0.0555862 + 0.998454i \(0.517703\pi\)
\(620\) −40.5376 61.0249i −1.62803 2.45082i
\(621\) −12.0488 −0.483500
\(622\) −4.02503 12.3878i −0.161389 0.496704i
\(623\) −4.29255 + 13.2111i −0.171977 + 0.529292i
\(624\) −1.27520 + 0.926485i −0.0510488 + 0.0370891i
\(625\) 26.2765 1.05106
\(626\) −29.4087 −1.17541
\(627\) −3.35010 + 2.43399i −0.133790 + 0.0972042i
\(628\) −38.7935 28.1851i −1.54803 1.12471i
\(629\) −4.21385 3.06154i −0.168017 0.122072i
\(630\) 7.08113 + 21.7935i 0.282119 + 0.868273i
\(631\) 27.8520 20.2357i 1.10877 0.805570i 0.126302 0.991992i \(-0.459689\pi\)
0.982470 + 0.186422i \(0.0596893\pi\)
\(632\) −17.2649 53.1358i −0.686759 2.11363i
\(633\) −10.5831 + 32.5715i −0.420642 + 1.29460i
\(634\) 22.2970 + 16.1997i 0.885528 + 0.643374i
\(635\) −13.5713 + 41.7681i −0.538560 + 1.65752i
\(636\) −32.6329 + 100.434i −1.29398 + 3.98246i
\(637\) 4.40763 + 3.20233i 0.174637 + 0.126881i
\(638\) −5.38047 + 16.5594i −0.213015 + 0.655593i
\(639\) 2.76018 + 8.49497i 0.109191 + 0.336056i
\(640\) −61.4821 + 44.6694i −2.43030 + 1.76571i
\(641\) −0.948276 2.91849i −0.0374546 0.115274i 0.930581 0.366086i \(-0.119302\pi\)
−0.968036 + 0.250812i \(0.919302\pi\)
\(642\) 7.58986 + 5.51435i 0.299548 + 0.217634i
\(643\) −32.8291 23.8518i −1.29465 0.940622i −0.294766 0.955569i \(-0.595242\pi\)
−0.999888 + 0.0149478i \(0.995242\pi\)
\(644\) 19.0957 13.8739i 0.752477 0.546706i
\(645\) 33.9344 1.33617
\(646\) −14.5570 −0.572737
\(647\) −1.16525 + 0.846601i −0.0458106 + 0.0332833i −0.610455 0.792051i \(-0.709013\pi\)
0.564644 + 0.825334i \(0.309013\pi\)
\(648\) 10.9089 33.5742i 0.428543 1.31892i
\(649\) 3.37070 + 10.3739i 0.132312 + 0.407213i
\(650\) −23.4083 −0.918148
\(651\) 14.9986 4.18635i 0.587842 0.164076i
\(652\) 39.4165 1.54367
\(653\) −12.9919 39.9850i −0.508412 1.56473i −0.794957 0.606666i \(-0.792507\pi\)
0.286545 0.958067i \(-0.407493\pi\)
\(654\) 8.85360 27.2486i 0.346203 1.06550i
\(655\) 21.5450 15.6533i 0.841831 0.611626i
\(656\) −0.126692 −0.00494649
\(657\) 20.4568 0.798095
\(658\) 6.95464 5.05284i 0.271120 0.196980i
\(659\) 32.4068 + 23.5449i 1.26239 + 0.917181i 0.998872 0.0474737i \(-0.0151170\pi\)
0.263518 + 0.964654i \(0.415117\pi\)
\(660\) −37.0752 26.9367i −1.44315 1.04851i
\(661\) 7.59869 + 23.3864i 0.295555 + 0.909625i 0.983034 + 0.183421i \(0.0587171\pi\)
−0.687480 + 0.726204i \(0.741283\pi\)
\(662\) 38.0845 27.6700i 1.48020 1.07543i
\(663\) 3.65935 + 11.2623i 0.142117 + 0.437392i
\(664\) 14.8747 45.7796i 0.577250 1.77659i
\(665\) 4.65399 + 3.38132i 0.180474 + 0.131122i
\(666\) −1.44524 + 4.44799i −0.0560019 + 0.172356i
\(667\) 8.35671 25.7193i 0.323573 0.995855i
\(668\) 41.4578 + 30.1209i 1.60405 + 1.16541i
\(669\) −15.8483 + 48.7760i −0.612731 + 1.88579i
\(670\) −29.4023 90.4910i −1.13591 3.49597i
\(671\) −4.50293 + 3.27157i −0.173834 + 0.126298i
\(672\) −4.16010 12.8035i −0.160479 0.493905i
\(673\) 31.7995 + 23.1037i 1.22578 + 0.890580i 0.996567 0.0827961i \(-0.0263850\pi\)
0.229212 + 0.973376i \(0.426385\pi\)
\(674\) 55.5190 + 40.3369i 2.13851 + 1.55372i
\(675\) 17.5768 12.7703i 0.676532 0.491529i
\(676\) 3.38790 0.130304
\(677\) −14.9379 −0.574112 −0.287056 0.957914i \(-0.592677\pi\)
−0.287056 + 0.957914i \(0.592677\pi\)
\(678\) −47.0579 + 34.1896i −1.80725 + 1.31304i
\(679\) 1.45880 4.48973i 0.0559836 0.172300i
\(680\) −20.3942 62.7670i −0.782084 2.40701i
\(681\) −50.1395 −1.92135
\(682\) −12.4545 + 15.7110i −0.476907 + 0.601605i
\(683\) 23.6260 0.904025 0.452012 0.892012i \(-0.350706\pi\)
0.452012 + 0.892012i \(0.350706\pi\)
\(684\) 2.53981 + 7.81673i 0.0971121 + 0.298880i
\(685\) 11.5108 35.4267i 0.439806 1.35358i
\(686\) 29.1205 21.1573i 1.11183 0.807790i
\(687\) −47.3345 −1.80592
\(688\) 2.73230 0.104168
\(689\) 11.2323 8.16073i 0.427916 0.310899i
\(690\) 91.5771 + 66.5346i 3.48628 + 2.53293i
\(691\) 6.40036 + 4.65013i 0.243481 + 0.176899i 0.702833 0.711355i \(-0.251918\pi\)
−0.459352 + 0.888254i \(0.651918\pi\)
\(692\) −8.20589 25.2551i −0.311941 0.960056i
\(693\) 3.19004 2.31770i 0.121180 0.0880421i
\(694\) 4.24279 + 13.0580i 0.161054 + 0.495673i
\(695\) −0.632350 + 1.94617i −0.0239864 + 0.0738225i
\(696\) 28.2939 + 20.5567i 1.07248 + 0.779200i
\(697\) −0.294126 + 0.905226i −0.0111408 + 0.0342879i
\(698\) 13.0809 40.2588i 0.495119 1.52382i
\(699\) −37.6327 27.3418i −1.42340 1.03416i
\(700\) −13.1523 + 40.4786i −0.497109 + 1.52995i
\(701\) 3.83527 + 11.8037i 0.144856 + 0.445821i 0.996992 0.0774988i \(-0.0246934\pi\)
−0.852136 + 0.523320i \(0.824693\pi\)
\(702\) −4.04567 + 2.93935i −0.152694 + 0.110939i
\(703\) 0.362817 + 1.11663i 0.0136839 + 0.0421147i
\(704\) 15.7847 + 11.4683i 0.594908 + 0.432226i
\(705\) 20.9718 + 15.2369i 0.789845 + 0.573856i
\(706\) 30.9573 22.4918i 1.16509 0.846489i
\(707\) 24.9826 0.939568
\(708\) 53.4818 2.00997
\(709\) 18.2545 13.2627i 0.685564 0.498091i −0.189635 0.981855i \(-0.560730\pi\)
0.875199 + 0.483763i \(0.160730\pi\)
\(710\) −12.1955 + 37.5339i −0.457689 + 1.40862i
\(711\) 10.9348 + 33.6537i 0.410085 + 1.26211i
\(712\) −35.9231 −1.34628
\(713\) 19.3437 24.4016i 0.724429 0.913847i
\(714\) 34.2420 1.28148
\(715\) 1.86185 + 5.73018i 0.0696292 + 0.214297i
\(716\) 9.50008 29.2382i 0.355035 1.09268i
\(717\) −0.665042 + 0.483182i −0.0248365 + 0.0180447i
\(718\) −64.5906 −2.41050
\(719\) −45.1964 −1.68554 −0.842771 0.538273i \(-0.819077\pi\)
−0.842771 + 0.538273i \(0.819077\pi\)
\(720\) −4.50119 + 3.27031i −0.167749 + 0.121877i
\(721\) 3.89144 + 2.82730i 0.144925 + 0.105294i
\(722\) −33.0250 23.9941i −1.22906 0.892967i
\(723\) −15.3489 47.2390i −0.570831 1.75684i
\(724\) −66.9047 + 48.6091i −2.48649 + 1.80654i
\(725\) 15.0687 + 46.3766i 0.559637 + 1.72238i
\(726\) 13.8386 42.5910i 0.513600 1.58070i
\(727\) 30.2494 + 21.9775i 1.12189 + 0.815100i 0.984494 0.175417i \(-0.0561273\pi\)
0.137394 + 0.990516i \(0.456127\pi\)
\(728\) 1.24016 3.81683i 0.0459636 0.141461i
\(729\) −2.42527 + 7.46420i −0.0898247 + 0.276452i
\(730\) 73.1234 + 53.1273i 2.70642 + 1.96633i
\(731\) 6.34326 19.5225i 0.234614 0.722067i
\(732\) 8.43312 + 25.9545i 0.311697 + 0.959305i
\(733\) −13.1268 + 9.53721i −0.484851 + 0.352265i −0.803201 0.595708i \(-0.796871\pi\)
0.318350 + 0.947973i \(0.396871\pi\)
\(734\) −19.1904 59.0621i −0.708332 2.18002i
\(735\) 38.4330 + 27.9232i 1.41762 + 1.02996i
\(736\) −21.7790 15.8234i −0.802785 0.583258i
\(737\) −13.2457 + 9.62355i −0.487911 + 0.354488i
\(738\) 0.854648 0.0314600
\(739\) 25.0208 0.920406 0.460203 0.887814i \(-0.347777\pi\)
0.460203 + 0.887814i \(0.347777\pi\)
\(740\) −10.5121 + 7.63746i −0.386431 + 0.280759i
\(741\) 0.824874 2.53870i 0.0303025 0.0932615i
\(742\) −12.4060 38.1816i −0.455437 1.40169i
\(743\) −3.45326 −0.126688 −0.0633440 0.997992i \(-0.520177\pi\)
−0.0633440 + 0.997992i \(0.520177\pi\)
\(744\) 22.2823 + 33.5436i 0.816910 + 1.22977i
\(745\) −39.9987 −1.46544
\(746\) 24.0263 + 73.9452i 0.879664 + 2.70733i
\(747\) −9.42094 + 28.9947i −0.344694 + 1.06086i
\(748\) −22.4271 + 16.2942i −0.820015 + 0.595776i
\(749\) −2.24265 −0.0819447
\(750\) −102.913 −3.75784
\(751\) −24.9622 + 18.1361i −0.910883 + 0.661795i −0.941238 0.337744i \(-0.890336\pi\)
0.0303554 + 0.999539i \(0.490336\pi\)
\(752\) 1.68859 + 1.22683i 0.0615765 + 0.0447379i
\(753\) 4.06882 + 2.95617i 0.148276 + 0.107729i
\(754\) −3.46837 10.6745i −0.126311 0.388744i
\(755\) 16.6795 12.1184i 0.607030 0.441033i
\(756\) 2.80973 + 8.64745i 0.102189 + 0.314505i
\(757\) 14.7200 45.3036i 0.535008 1.64659i −0.208622 0.977996i \(-0.566898\pi\)
0.743631 0.668591i \(-0.233102\pi\)
\(758\) 68.7379 + 49.9410i 2.49667 + 1.81394i
\(759\) 6.01907 18.5248i 0.218478 0.672407i
\(760\) −4.59718 + 14.1487i −0.166757 + 0.513226i
\(761\) 27.8257 + 20.2165i 1.00868 + 0.732849i 0.963932 0.266149i \(-0.0857514\pi\)
0.0447483 + 0.998998i \(0.485751\pi\)
\(762\) 18.2094 56.0429i 0.659658 2.03022i
\(763\) 2.11644 + 6.51372i 0.0766202 + 0.235813i
\(764\) −24.9464 + 18.1246i −0.902529 +