Properties

Label 570.2.n.a.179.8
Level $570$
Weight $2$
Character 570.179
Analytic conductor $4.551$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.n (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 179.8
Character \(\chi\) \(=\) 570.179
Dual form 570.2.n.a.449.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-0.540671 + 1.64550i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.636160 - 2.14367i) q^{5} +(1.29099 - 1.15471i) q^{6} +4.14066i q^{7} -1.00000i q^{8} +(-2.41535 - 1.77935i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-0.540671 + 1.64550i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.636160 - 2.14367i) q^{5} +(1.29099 - 1.15471i) q^{6} +4.14066i q^{7} -1.00000i q^{8} +(-2.41535 - 1.77935i) q^{9} +(-0.520902 + 2.17455i) q^{10} -0.276925i q^{11} +(-1.69538 + 0.354516i) q^{12} +(-0.418840 - 0.725452i) q^{13} +(2.07033 - 3.58592i) q^{14} +(3.87136 + 0.112214i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-2.82932 + 4.90052i) q^{17} +(1.20208 + 2.74864i) q^{18} +(-2.04202 - 3.85099i) q^{19} +(1.53839 - 1.62276i) q^{20} +(-6.81346 - 2.23873i) q^{21} +(-0.138462 + 0.239824i) q^{22} +(0.101759 + 0.176252i) q^{23} +(1.64550 + 0.540671i) q^{24} +(-4.19060 + 2.72743i) q^{25} +0.837680i q^{26} +(4.23383 - 3.01242i) q^{27} +(-3.58592 + 2.07033i) q^{28} +(-4.06700 - 7.04425i) q^{29} +(-3.29659 - 2.03286i) q^{30} +5.54805i q^{31} +(0.866025 - 0.500000i) q^{32} +(0.455680 + 0.149725i) q^{33} +(4.90052 - 2.82932i) q^{34} +(8.87619 - 2.63412i) q^{35} +(0.333286 - 2.98143i) q^{36} -1.84341 q^{37} +(-0.157053 + 4.35607i) q^{38} +(1.42019 - 0.296971i) q^{39} +(-2.14367 + 0.636160i) q^{40} +(-2.91976 + 5.05717i) q^{41} +(4.78126 + 5.34553i) q^{42} +(-9.67160 - 5.58390i) q^{43} +(0.239824 - 0.138462i) q^{44} +(-2.27778 + 6.30965i) q^{45} -0.203518i q^{46} +(-5.89995 - 10.2190i) q^{47} +(-1.15471 - 1.29099i) q^{48} -10.1451 q^{49} +(4.99288 - 0.266723i) q^{50} +(-6.53409 - 7.30522i) q^{51} +(0.418840 - 0.725452i) q^{52} +(-8.06300 + 4.65518i) q^{53} +(-5.17282 + 0.491917i) q^{54} +(-0.593634 + 0.176169i) q^{55} +4.14066 q^{56} +(7.44088 - 1.27803i) q^{57} +8.13400i q^{58} +(1.94977 - 3.37710i) q^{59} +(1.83850 + 3.40880i) q^{60} +(-2.56141 - 4.43650i) q^{61} +(2.77402 - 4.80475i) q^{62} +(7.36768 - 10.0011i) q^{63} -1.00000 q^{64} +(-1.28868 + 1.35936i) q^{65} +(-0.319768 - 0.357506i) q^{66} +(5.36719 + 9.29624i) q^{67} -5.65864 q^{68} +(-0.345041 + 0.0721505i) q^{69} +(-9.00406 - 2.15688i) q^{70} +(-5.59684 + 9.69401i) q^{71} +(-1.77935 + 2.41535i) q^{72} +(-5.57300 - 3.21757i) q^{73} +(1.59644 + 0.921703i) q^{74} +(-2.22225 - 8.37028i) q^{75} +(2.31405 - 3.69394i) q^{76} +1.14665 q^{77} +(-1.37840 - 0.452909i) q^{78} +(14.0332 + 8.10205i) q^{79} +(2.17455 + 0.520902i) q^{80} +(2.66783 + 8.59550i) q^{81} +(5.05717 - 2.91976i) q^{82} +1.50224 q^{83} +(-1.46793 - 7.02000i) q^{84} +(12.3050 + 2.94759i) q^{85} +(5.58390 + 9.67160i) q^{86} +(13.7902 - 2.88364i) q^{87} -0.276925 q^{88} +(-3.27700 - 5.67592i) q^{89} +(5.12744 - 4.32543i) q^{90} +(3.00385 - 1.73427i) q^{91} +(-0.101759 + 0.176252i) q^{92} +(-9.12932 - 2.99967i) q^{93} +11.7999i q^{94} +(-6.95619 + 6.82726i) q^{95} +(0.354516 + 1.69538i) q^{96} +(-3.24889 + 5.62724i) q^{97} +(8.78588 + 5.07253i) q^{98} +(-0.492746 + 0.668871i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 40q^{4} + O(q^{10}) \) \( 80q + 40q^{4} + 30q^{15} - 40q^{16} + 8q^{19} + 8q^{25} - 4q^{30} + 48q^{39} + 12q^{45} - 128q^{49} - 36q^{54} + 12q^{55} + 30q^{60} - 24q^{61} - 80q^{64} + 4q^{66} + 36q^{70} + 16q^{76} + 24q^{79} + 32q^{81} - 8q^{85} - 54q^{90} + 24q^{91} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) −0.540671 + 1.64550i −0.312156 + 0.950031i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −0.636160 2.14367i −0.284500 0.958676i
\(6\) 1.29099 1.15471i 0.527043 0.471409i
\(7\) 4.14066i 1.56502i 0.622637 + 0.782511i \(0.286061\pi\)
−0.622637 + 0.782511i \(0.713939\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −2.41535 1.77935i −0.805117 0.593116i
\(10\) −0.520902 + 2.17455i −0.164724 + 0.687653i
\(11\) 0.276925i 0.0834960i −0.999128 0.0417480i \(-0.986707\pi\)
0.999128 0.0417480i \(-0.0132927\pi\)
\(12\) −1.69538 + 0.354516i −0.489414 + 0.102340i
\(13\) −0.418840 0.725452i −0.116165 0.201204i 0.802080 0.597217i \(-0.203727\pi\)
−0.918245 + 0.396013i \(0.870394\pi\)
\(14\) 2.07033 3.58592i 0.553319 0.958376i
\(15\) 3.87136 + 0.112214i 0.999580 + 0.0289736i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −2.82932 + 4.90052i −0.686210 + 1.18855i 0.286844 + 0.957977i \(0.407394\pi\)
−0.973055 + 0.230574i \(0.925940\pi\)
\(18\) 1.20208 + 2.74864i 0.283333 + 0.647860i
\(19\) −2.04202 3.85099i −0.468472 0.883478i
\(20\) 1.53839 1.62276i 0.343994 0.362861i
\(21\) −6.81346 2.23873i −1.48682 0.488532i
\(22\) −0.138462 + 0.239824i −0.0295203 + 0.0511307i
\(23\) 0.101759 + 0.176252i 0.0212182 + 0.0367511i 0.876440 0.481512i \(-0.159912\pi\)
−0.855221 + 0.518263i \(0.826579\pi\)
\(24\) 1.64550 + 0.540671i 0.335887 + 0.110364i
\(25\) −4.19060 + 2.72743i −0.838120 + 0.545486i
\(26\) 0.837680i 0.164283i
\(27\) 4.23383 3.01242i 0.814801 0.579741i
\(28\) −3.58592 + 2.07033i −0.677674 + 0.391256i
\(29\) −4.06700 7.04425i −0.755223 1.30808i −0.945263 0.326309i \(-0.894195\pi\)
0.190040 0.981776i \(-0.439138\pi\)
\(30\) −3.29659 2.03286i −0.601872 0.371148i
\(31\) 5.54805i 0.996459i 0.867045 + 0.498229i \(0.166016\pi\)
−0.867045 + 0.498229i \(0.833984\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 0.455680 + 0.149725i 0.0793238 + 0.0260638i
\(34\) 4.90052 2.82932i 0.840433 0.485224i
\(35\) 8.87619 2.63412i 1.50035 0.445248i
\(36\) 0.333286 2.98143i 0.0555477 0.496905i
\(37\) −1.84341 −0.303054 −0.151527 0.988453i \(-0.548419\pi\)
−0.151527 + 0.988453i \(0.548419\pi\)
\(38\) −0.157053 + 4.35607i −0.0254774 + 0.706648i
\(39\) 1.42019 0.296971i 0.227412 0.0475534i
\(40\) −2.14367 + 0.636160i −0.338943 + 0.100586i
\(41\) −2.91976 + 5.05717i −0.455990 + 0.789798i −0.998745 0.0500936i \(-0.984048\pi\)
0.542755 + 0.839891i \(0.317381\pi\)
\(42\) 4.78126 + 5.34553i 0.737765 + 0.824833i
\(43\) −9.67160 5.58390i −1.47491 0.851537i −0.475305 0.879821i \(-0.657662\pi\)
−0.999600 + 0.0282839i \(0.990996\pi\)
\(44\) 0.239824 0.138462i 0.0361548 0.0208740i
\(45\) −2.27778 + 6.30965i −0.339551 + 0.940588i
\(46\) 0.203518i 0.0300071i
\(47\) −5.89995 10.2190i −0.860596 1.49060i −0.871355 0.490654i \(-0.836758\pi\)
0.0107588 0.999942i \(-0.496575\pi\)
\(48\) −1.15471 1.29099i −0.166668 0.186338i
\(49\) −10.1451 −1.44929
\(50\) 4.99288 0.266723i 0.706100 0.0377203i
\(51\) −6.53409 7.30522i −0.914955 1.02293i
\(52\) 0.418840 0.725452i 0.0580827 0.100602i
\(53\) −8.06300 + 4.65518i −1.10754 + 0.639438i −0.938191 0.346119i \(-0.887499\pi\)
−0.169348 + 0.985556i \(0.554166\pi\)
\(54\) −5.17282 + 0.491917i −0.703931 + 0.0669415i
\(55\) −0.593634 + 0.176169i −0.0800456 + 0.0237546i
\(56\) 4.14066 0.553319
\(57\) 7.44088 1.27803i 0.985568 0.169279i
\(58\) 8.13400i 1.06805i
\(59\) 1.94977 3.37710i 0.253838 0.439661i −0.710741 0.703454i \(-0.751640\pi\)
0.964579 + 0.263793i \(0.0849735\pi\)
\(60\) 1.83850 + 3.40880i 0.237349 + 0.440074i
\(61\) −2.56141 4.43650i −0.327956 0.568036i 0.654151 0.756364i \(-0.273026\pi\)
−0.982106 + 0.188329i \(0.939693\pi\)
\(62\) 2.77402 4.80475i 0.352301 0.610204i
\(63\) 7.36768 10.0011i 0.928240 1.26003i
\(64\) −1.00000 −0.125000
\(65\) −1.28868 + 1.35936i −0.159841 + 0.168607i
\(66\) −0.319768 0.357506i −0.0393607 0.0440060i
\(67\) 5.36719 + 9.29624i 0.655706 + 1.13572i 0.981716 + 0.190350i \(0.0609624\pi\)
−0.326010 + 0.945366i \(0.605704\pi\)
\(68\) −5.65864 −0.686210
\(69\) −0.345041 + 0.0721505i −0.0415380 + 0.00868589i
\(70\) −9.00406 2.15688i −1.07619 0.257796i
\(71\) −5.59684 + 9.69401i −0.664223 + 1.15047i 0.315273 + 0.949001i \(0.397904\pi\)
−0.979495 + 0.201466i \(0.935429\pi\)
\(72\) −1.77935 + 2.41535i −0.209698 + 0.284652i
\(73\) −5.57300 3.21757i −0.652270 0.376588i 0.137055 0.990563i \(-0.456236\pi\)
−0.789325 + 0.613975i \(0.789569\pi\)
\(74\) 1.59644 + 0.921703i 0.185582 + 0.107146i
\(75\) −2.22225 8.37028i −0.256604 0.966517i
\(76\) 2.31405 3.69394i 0.265439 0.423724i
\(77\) 1.14665 0.130673
\(78\) −1.37840 0.452909i −0.156074 0.0512819i
\(79\) 14.0332 + 8.10205i 1.57885 + 0.911552i 0.995020 + 0.0996789i \(0.0317816\pi\)
0.583834 + 0.811873i \(0.301552\pi\)
\(80\) 2.17455 + 0.520902i 0.243122 + 0.0582386i
\(81\) 2.66783 + 8.59550i 0.296426 + 0.955056i
\(82\) 5.05717 2.91976i 0.558471 0.322434i
\(83\) 1.50224 0.164892 0.0824461 0.996596i \(-0.473727\pi\)
0.0824461 + 0.996596i \(0.473727\pi\)
\(84\) −1.46793 7.02000i −0.160164 0.765944i
\(85\) 12.3050 + 2.94759i 1.33466 + 0.319711i
\(86\) 5.58390 + 9.67160i 0.602128 + 1.04292i
\(87\) 13.7902 2.88364i 1.47847 0.309158i
\(88\) −0.276925 −0.0295203
\(89\) −3.27700 5.67592i −0.347361 0.601647i 0.638419 0.769689i \(-0.279589\pi\)
−0.985780 + 0.168042i \(0.946255\pi\)
\(90\) 5.12744 4.32543i 0.540480 0.455940i
\(91\) 3.00385 1.73427i 0.314889 0.181801i
\(92\) −0.101759 + 0.176252i −0.0106091 + 0.0183755i
\(93\) −9.12932 2.99967i −0.946666 0.311051i
\(94\) 11.7999i 1.21707i
\(95\) −6.95619 + 6.82726i −0.713690 + 0.700462i
\(96\) 0.354516 + 1.69538i 0.0361827 + 0.173034i
\(97\) −3.24889 + 5.62724i −0.329874 + 0.571359i −0.982487 0.186333i \(-0.940340\pi\)
0.652612 + 0.757692i \(0.273673\pi\)
\(98\) 8.78588 + 5.07253i 0.887508 + 0.512403i
\(99\) −0.492746 + 0.668871i −0.0495229 + 0.0672240i
\(100\) −4.45732 2.26545i −0.445732 0.226545i
\(101\) 3.02926 1.74894i 0.301422 0.174026i −0.341659 0.939824i \(-0.610989\pi\)
0.643082 + 0.765798i \(0.277656\pi\)
\(102\) 2.00608 + 9.59355i 0.198631 + 0.949903i
\(103\) 6.70352 0.660517 0.330259 0.943890i \(-0.392864\pi\)
0.330259 + 0.943890i \(0.392864\pi\)
\(104\) −0.725452 + 0.418840i −0.0711364 + 0.0410706i
\(105\) −0.464642 + 16.0300i −0.0453444 + 1.56437i
\(106\) 9.31035 0.904302
\(107\) 5.90110i 0.570481i 0.958456 + 0.285240i \(0.0920734\pi\)
−0.958456 + 0.285240i \(0.907927\pi\)
\(108\) 4.72575 + 2.16039i 0.454735 + 0.207884i
\(109\) 9.70976 + 5.60593i 0.930026 + 0.536951i 0.886820 0.462115i \(-0.152909\pi\)
0.0432062 + 0.999066i \(0.486243\pi\)
\(110\) 0.602187 + 0.144251i 0.0574163 + 0.0137538i
\(111\) 0.996675 3.03333i 0.0946002 0.287911i
\(112\) −3.58592 2.07033i −0.338837 0.195628i
\(113\) 2.63010i 0.247419i 0.992318 + 0.123710i \(0.0394791\pi\)
−0.992318 + 0.123710i \(0.960521\pi\)
\(114\) −7.08300 2.61363i −0.663384 0.244789i
\(115\) 0.313090 0.330262i 0.0291958 0.0307971i
\(116\) 4.06700 7.04425i 0.377612 0.654042i
\(117\) −0.279187 + 2.49748i −0.0258109 + 0.230892i
\(118\) −3.37710 + 1.94977i −0.310887 + 0.179491i
\(119\) −20.2914 11.7152i −1.86011 1.07393i
\(120\) 0.112214 3.87136i 0.0102437 0.353405i
\(121\) 10.9233 0.993028
\(122\) 5.12283i 0.463799i
\(123\) −6.74296 7.53874i −0.607992 0.679745i
\(124\) −4.80475 + 2.77402i −0.431479 + 0.249115i
\(125\) 8.51259 + 7.24816i 0.761389 + 0.648295i
\(126\) −11.3812 + 4.97740i −1.01391 + 0.443422i
\(127\) −3.14595 5.44894i −0.279158 0.483515i 0.692018 0.721880i \(-0.256722\pi\)
−0.971176 + 0.238365i \(0.923389\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 14.4175 12.8956i 1.26939 1.13539i
\(130\) 1.79571 0.532899i 0.157494 0.0467383i
\(131\) 0.437520 + 0.252602i 0.0382263 + 0.0220700i 0.518991 0.854779i \(-0.326308\pi\)
−0.480765 + 0.876849i \(0.659641\pi\)
\(132\) 0.0981744 + 0.469493i 0.00854498 + 0.0408642i
\(133\) 15.9456 8.45532i 1.38266 0.733169i
\(134\) 10.7344i 0.927309i
\(135\) −9.15102 7.15953i −0.787594 0.616195i
\(136\) 4.90052 + 2.82932i 0.420216 + 0.242612i
\(137\) 0.0331892 + 0.0574854i 0.00283555 + 0.00491131i 0.867440 0.497542i \(-0.165764\pi\)
−0.864604 + 0.502454i \(0.832431\pi\)
\(138\) 0.334889 + 0.110036i 0.0285077 + 0.00936691i
\(139\) 0.588959 + 1.02011i 0.0499548 + 0.0865243i 0.889922 0.456114i \(-0.150759\pi\)
−0.839967 + 0.542638i \(0.817426\pi\)
\(140\) 6.71931 + 6.36994i 0.567885 + 0.538358i
\(141\) 20.0053 4.18325i 1.68475 0.352293i
\(142\) 9.69401 5.59684i 0.813503 0.469676i
\(143\) −0.200896 + 0.115987i −0.0167998 + 0.00969934i
\(144\) 2.74864 1.20208i 0.229053 0.100173i
\(145\) −12.5133 + 13.1996i −1.03917 + 1.09616i
\(146\) 3.21757 + 5.57300i 0.266288 + 0.461224i
\(147\) 5.48514 16.6937i 0.452406 1.37687i
\(148\) −0.921703 1.59644i −0.0757635 0.131226i
\(149\) 5.80877 + 3.35370i 0.475873 + 0.274745i 0.718695 0.695325i \(-0.244740\pi\)
−0.242822 + 0.970071i \(0.578073\pi\)
\(150\) −2.26061 + 8.36000i −0.184578 + 0.682591i
\(151\) 11.6812i 0.950601i 0.879823 + 0.475301i \(0.157661\pi\)
−0.879823 + 0.475301i \(0.842339\pi\)
\(152\) −3.85099 + 2.04202i −0.312357 + 0.165630i
\(153\) 15.5535 6.80213i 1.25743 0.549920i
\(154\) −0.993030 0.573326i −0.0800206 0.0461999i
\(155\) 11.8932 3.52945i 0.955281 0.283492i
\(156\) 0.967278 + 1.08143i 0.0774442 + 0.0865839i
\(157\) 0.115351 + 0.0665981i 0.00920603 + 0.00531511i 0.504596 0.863356i \(-0.331641\pi\)
−0.495390 + 0.868671i \(0.664975\pi\)
\(158\) −8.10205 14.0332i −0.644564 1.11642i
\(159\) −3.30067 15.7846i −0.261760 1.25180i
\(160\) −1.62276 1.53839i −0.128291 0.121620i
\(161\) −0.729799 + 0.421350i −0.0575162 + 0.0332070i
\(162\) 1.98734 8.77784i 0.156140 0.689652i
\(163\) 4.40488i 0.345017i 0.985008 + 0.172508i \(0.0551872\pi\)
−0.985008 + 0.172508i \(0.944813\pi\)
\(164\) −5.83952 −0.455990
\(165\) 0.0310750 1.07208i 0.00241918 0.0834610i
\(166\) −1.30098 0.751119i −0.100975 0.0582982i
\(167\) 6.03723 3.48560i 0.467175 0.269724i −0.247881 0.968790i \(-0.579734\pi\)
0.715056 + 0.699067i \(0.246401\pi\)
\(168\) −2.23873 + 6.81346i −0.172722 + 0.525670i
\(169\) 6.14915 10.6506i 0.473011 0.819279i
\(170\) −9.18263 8.70518i −0.704275 0.667657i
\(171\) −1.92006 + 12.9350i −0.146831 + 0.989162i
\(172\) 11.1678i 0.851537i
\(173\) 20.7581 + 11.9847i 1.57821 + 0.911181i 0.995109 + 0.0987817i \(0.0314946\pi\)
0.583102 + 0.812399i \(0.301839\pi\)
\(174\) −13.3845 4.39782i −1.01468 0.333398i
\(175\) −11.2934 17.3518i −0.853697 1.31168i
\(176\) 0.239824 + 0.138462i 0.0180774 + 0.0104370i
\(177\) 4.50284 + 5.03425i 0.338454 + 0.378397i
\(178\) 6.55399i 0.491242i
\(179\) −13.0272 −0.973695 −0.486848 0.873487i \(-0.661853\pi\)
−0.486848 + 0.873487i \(0.661853\pi\)
\(180\) −6.60321 + 1.18221i −0.492174 + 0.0881169i
\(181\) −13.0547 + 7.53713i −0.970347 + 0.560230i −0.899342 0.437246i \(-0.855954\pi\)
−0.0710052 + 0.997476i \(0.522621\pi\)
\(182\) −3.46855 −0.257106
\(183\) 8.68515 1.81613i 0.642025 0.134252i
\(184\) 0.176252 0.101759i 0.0129935 0.00750178i
\(185\) 1.17270 + 3.95164i 0.0862187 + 0.290531i
\(186\) 6.40639 + 7.16245i 0.469739 + 0.525176i
\(187\) 1.35708 + 0.783509i 0.0992393 + 0.0572958i
\(188\) 5.89995 10.2190i 0.430298 0.745298i
\(189\) 12.4734 + 17.5309i 0.907307 + 1.27518i
\(190\) 9.43786 2.43449i 0.684695 0.176616i
\(191\) 8.16641i 0.590901i −0.955358 0.295450i \(-0.904530\pi\)
0.955358 0.295450i \(-0.0954697\pi\)
\(192\) 0.540671 1.64550i 0.0390196 0.118754i
\(193\) 11.0461 19.1325i 0.795118 1.37718i −0.127646 0.991820i \(-0.540742\pi\)
0.922764 0.385365i \(-0.125924\pi\)
\(194\) 5.62724 3.24889i 0.404012 0.233256i
\(195\) −1.54007 2.85548i −0.110287 0.204486i
\(196\) −5.07253 8.78588i −0.362324 0.627563i
\(197\) −26.9122 −1.91742 −0.958708 0.284391i \(-0.908209\pi\)
−0.958708 + 0.284391i \(0.908209\pi\)
\(198\) 0.761166 0.332886i 0.0540937 0.0236572i
\(199\) −1.85693 3.21630i −0.131635 0.227998i 0.792672 0.609648i \(-0.208689\pi\)
−0.924307 + 0.381650i \(0.875356\pi\)
\(200\) 2.72743 + 4.19060i 0.192858 + 0.296320i
\(201\) −18.1989 + 3.80551i −1.28365 + 0.268420i
\(202\) −3.49788 −0.246110
\(203\) 29.1679 16.8401i 2.04718 1.18194i
\(204\) 3.05946 9.31129i 0.214205 0.651921i
\(205\) 12.6983 + 3.04182i 0.886889 + 0.212450i
\(206\) −5.80542 3.35176i −0.404483 0.233528i
\(207\) 0.0678298 0.606775i 0.00471450 0.0421738i
\(208\) 0.837680 0.0580827
\(209\) −1.06644 + 0.565487i −0.0737669 + 0.0391156i
\(210\) 8.41738 13.6500i 0.580854 0.941942i
\(211\) 1.72302 + 0.994784i 0.118617 + 0.0684837i 0.558135 0.829750i \(-0.311517\pi\)
−0.439517 + 0.898234i \(0.644851\pi\)
\(212\) −8.06300 4.65518i −0.553769 0.319719i
\(213\) −12.9255 14.4509i −0.885638 0.990158i
\(214\) 2.95055 5.11050i 0.201695 0.349347i
\(215\) −5.81733 + 24.2849i −0.396738 + 1.65622i
\(216\) −3.01242 4.23383i −0.204969 0.288076i
\(217\) −22.9726 −1.55948
\(218\) −5.60593 9.70976i −0.379682 0.657628i
\(219\) 8.30767 7.43073i 0.561381 0.502122i
\(220\) −0.449384 0.426018i −0.0302974 0.0287221i
\(221\) 4.74013 0.318855
\(222\) −2.37981 + 2.12860i −0.159722 + 0.142862i
\(223\) −11.2416 + 19.4711i −0.752794 + 1.30388i 0.193669 + 0.981067i \(0.437961\pi\)
−0.946463 + 0.322811i \(0.895372\pi\)
\(224\) 2.07033 + 3.58592i 0.138330 + 0.239594i
\(225\) 14.9748 + 0.868844i 0.998321 + 0.0579229i
\(226\) 1.31505 2.27774i 0.0874759 0.151513i
\(227\) 28.1102i 1.86574i 0.360216 + 0.932869i \(0.382703\pi\)
−0.360216 + 0.932869i \(0.617297\pi\)
\(228\) 4.82725 + 5.80497i 0.319692 + 0.384444i
\(229\) −22.6293 −1.49538 −0.747692 0.664046i \(-0.768838\pi\)
−0.747692 + 0.664046i \(0.768838\pi\)
\(230\) −0.436275 + 0.129470i −0.0287671 + 0.00853701i
\(231\) −0.619961 + 1.88682i −0.0407905 + 0.124143i
\(232\) −7.04425 + 4.06700i −0.462478 + 0.267012i
\(233\) −9.37752 + 16.2423i −0.614342 + 1.06407i 0.376158 + 0.926556i \(0.377245\pi\)
−0.990500 + 0.137515i \(0.956088\pi\)
\(234\) 1.49053 2.02329i 0.0974387 0.132267i
\(235\) −18.1528 + 19.1484i −1.18416 + 1.24911i
\(236\) 3.89954 0.253838
\(237\) −20.9193 + 18.7110i −1.35885 + 1.21541i
\(238\) 11.7152 + 20.2914i 0.759386 + 1.31530i
\(239\) 9.41201i 0.608812i 0.952542 + 0.304406i \(0.0984580\pi\)
−0.952542 + 0.304406i \(0.901542\pi\)
\(240\) −2.03286 + 3.29659i −0.131220 + 0.212794i
\(241\) 6.84761 3.95347i 0.441093 0.254665i −0.262968 0.964805i \(-0.584701\pi\)
0.704061 + 0.710139i \(0.251368\pi\)
\(242\) −9.45987 5.46166i −0.608103 0.351089i
\(243\) −15.5863 0.257413i −0.999864 0.0165130i
\(244\) 2.56141 4.43650i 0.163978 0.284018i
\(245\) 6.45388 + 21.7476i 0.412323 + 1.38940i
\(246\) 2.07020 + 9.90022i 0.131991 + 0.631215i
\(247\) −1.93843 + 3.09434i −0.123339 + 0.196888i
\(248\) 5.54805 0.352301
\(249\) −0.812217 + 2.47194i −0.0514721 + 0.156653i
\(250\) −3.74804 10.5334i −0.237047 0.666190i
\(251\) 11.6568 6.73004i 0.735769 0.424796i −0.0847602 0.996401i \(-0.527012\pi\)
0.820529 + 0.571605i \(0.193679\pi\)
\(252\) 12.3451 + 1.38003i 0.777667 + 0.0869334i
\(253\) 0.0488085 0.0281796i 0.00306857 0.00177164i
\(254\) 6.29189i 0.394788i
\(255\) −11.5032 + 18.6542i −0.720359 + 1.16817i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −12.2806 + 7.09019i −0.766040 + 0.442274i −0.831460 0.555584i \(-0.812495\pi\)
0.0654199 + 0.997858i \(0.479161\pi\)
\(258\) −18.9337 + 3.95917i −1.17876 + 0.246487i
\(259\) 7.63291i 0.474286i
\(260\) −1.82158 0.436349i −0.112969 0.0270612i
\(261\) −2.71095 + 24.2510i −0.167804 + 1.50110i
\(262\) −0.252602 0.437520i −0.0156058 0.0270301i
\(263\) 0.000326808 0 0.000566048i 2.01518e−5 0 3.49040e-5i −0.866015 0.500017i \(-0.833327\pi\)
0.866035 + 0.499983i \(0.166660\pi\)
\(264\) 0.149725 0.455680i 0.00921495 0.0280452i
\(265\) 15.1085 + 14.3229i 0.928108 + 0.879851i
\(266\) −18.0370 0.650304i −1.10592 0.0398727i
\(267\) 11.1115 2.32350i 0.680014 0.142196i
\(268\) −5.36719 + 9.29624i −0.327853 + 0.567858i
\(269\) 2.56468 4.44215i 0.156371 0.270843i −0.777186 0.629270i \(-0.783354\pi\)
0.933557 + 0.358428i \(0.116687\pi\)
\(270\) 4.34525 + 10.7758i 0.264443 + 0.655797i
\(271\) 1.83855 3.18447i 0.111684 0.193443i −0.804765 0.593593i \(-0.797709\pi\)
0.916449 + 0.400151i \(0.131042\pi\)
\(272\) −2.82932 4.90052i −0.171553 0.297138i
\(273\) 1.22966 + 5.88051i 0.0744222 + 0.355905i
\(274\) 0.0663784i 0.00401007i
\(275\) 0.755293 + 1.16048i 0.0455459 + 0.0699797i
\(276\) −0.235005 0.262739i −0.0141456 0.0158150i
\(277\) 25.8215i 1.55146i 0.631064 + 0.775731i \(0.282619\pi\)
−0.631064 + 0.775731i \(0.717381\pi\)
\(278\) 1.17792i 0.0706468i
\(279\) 9.87191 13.4005i 0.591016 0.802266i
\(280\) −2.63412 8.87619i −0.157419 0.530454i
\(281\) −4.30234 7.45188i −0.256656 0.444542i 0.708688 0.705522i \(-0.249288\pi\)
−0.965344 + 0.260980i \(0.915954\pi\)
\(282\) −19.4167 6.37986i −1.15625 0.379915i
\(283\) −12.9655 7.48566i −0.770722 0.444976i 0.0624104 0.998051i \(-0.480121\pi\)
−0.833132 + 0.553074i \(0.813455\pi\)
\(284\) −11.1937 −0.664223
\(285\) −7.47326 15.1377i −0.442678 0.896681i
\(286\) 0.231975 0.0137169
\(287\) −20.9400 12.0897i −1.23605 0.713634i
\(288\) −2.98143 0.333286i −0.175682 0.0196391i
\(289\) −7.51008 13.0078i −0.441769 0.765167i
\(290\) 17.4366 5.17453i 1.02391 0.303859i
\(291\) −7.50305 8.38853i −0.439836 0.491744i
\(292\) 6.43514i 0.376588i
\(293\) 9.99594i 0.583969i −0.956423 0.291984i \(-0.905684\pi\)
0.956423 0.291984i \(-0.0943155\pi\)
\(294\) −13.0971 + 11.7146i −0.763840 + 0.683210i
\(295\) −8.47974 2.03128i −0.493709 0.118265i
\(296\) 1.84341i 0.107146i
\(297\) −0.834214 1.17245i −0.0484060 0.0680327i
\(298\) −3.35370 5.80877i −0.194274 0.336493i
\(299\) 0.0852415 0.147643i 0.00492965 0.00853840i
\(300\) 6.13775 6.10967i 0.354363 0.352742i
\(301\) 23.1210 40.0468i 1.33267 2.30826i
\(302\) 5.84059 10.1162i 0.336088 0.582122i
\(303\) 1.24006 + 5.93025i 0.0712394 + 0.340684i
\(304\) 4.35607 + 0.157053i 0.249838 + 0.00900762i
\(305\) −7.88090 + 8.31314i −0.451259 + 0.476009i
\(306\) −16.8708 1.88595i −0.964441 0.107812i
\(307\) 14.4133 24.9645i 0.822608 1.42480i −0.0811250 0.996704i \(-0.525851\pi\)
0.903733 0.428096i \(-0.140815\pi\)
\(308\) 0.573326 + 0.993030i 0.0326683 + 0.0565831i
\(309\) −3.62440 + 11.0307i −0.206185 + 0.627512i
\(310\) −12.0645 2.88999i −0.685217 0.164140i
\(311\) 19.0823i 1.08206i 0.841003 + 0.541030i \(0.181966\pi\)
−0.841003 + 0.541030i \(0.818034\pi\)
\(312\) −0.296971 1.42019i −0.0168127 0.0804023i
\(313\) 12.6849 7.32365i 0.716995 0.413957i −0.0966505 0.995318i \(-0.530813\pi\)
0.813646 + 0.581361i \(0.197480\pi\)
\(314\) −0.0665981 0.115351i −0.00375835 0.00650965i
\(315\) −26.1261 9.43151i −1.47204 0.531405i
\(316\) 16.2041i 0.911552i
\(317\) −2.79008 + 1.61085i −0.156706 + 0.0904744i −0.576303 0.817236i \(-0.695505\pi\)
0.419596 + 0.907711i \(0.362172\pi\)
\(318\) −5.03384 + 15.3202i −0.282284 + 0.859114i
\(319\) −1.95073 + 1.12625i −0.109220 + 0.0630581i
\(320\) 0.636160 + 2.14367i 0.0355624 + 0.119835i
\(321\) −9.71027 3.19055i −0.541974 0.178079i
\(322\) 0.842699 0.0469618
\(323\) 24.6494 + 0.888707i 1.37153 + 0.0494490i
\(324\) −6.11001 + 6.60816i −0.339445 + 0.367120i
\(325\) 3.73381 + 1.89772i 0.207115 + 0.105267i
\(326\) 2.20244 3.81474i 0.121982 0.211279i
\(327\) −14.4743 + 12.9465i −0.800433 + 0.715941i
\(328\) 5.05717 + 2.91976i 0.279236 + 0.161217i
\(329\) 42.3134 24.4297i 2.33282 1.34685i
\(330\) −0.562950 + 0.912907i −0.0309894 + 0.0502539i
\(331\) 12.4330i 0.683377i −0.939813 0.341689i \(-0.889001\pi\)
0.939813 0.341689i \(-0.110999\pi\)
\(332\) 0.751119 + 1.30098i 0.0412230 + 0.0714004i
\(333\) 4.45247 + 3.28006i 0.243994 + 0.179746i
\(334\) −6.97119 −0.381447
\(335\) 16.5136 17.4194i 0.902236 0.951721i
\(336\) 5.34553 4.78126i 0.291623 0.260839i
\(337\) 0.671895 1.16376i 0.0366005 0.0633939i −0.847145 0.531362i \(-0.821680\pi\)
0.883745 + 0.467968i \(0.155014\pi\)
\(338\) −10.6506 + 6.14915i −0.579318 + 0.334469i
\(339\) −4.32784 1.42202i −0.235056 0.0772335i
\(340\) 3.59980 + 12.1302i 0.195227 + 0.657854i
\(341\) 1.53639 0.0832003
\(342\) 8.13031 10.2420i 0.439637 0.553823i
\(343\) 13.0226i 0.703155i
\(344\) −5.58390 + 9.67160i −0.301064 + 0.521458i
\(345\) 0.374168 + 0.693753i 0.0201445 + 0.0373504i
\(346\) −11.9847 20.7581i −0.644302 1.11596i
\(347\) 11.9747 20.7407i 0.642834 1.11342i −0.341963 0.939713i \(-0.611092\pi\)
0.984797 0.173708i \(-0.0555748\pi\)
\(348\) 9.39242 + 10.5009i 0.503487 + 0.562906i
\(349\) −29.4972 −1.57895 −0.789474 0.613784i \(-0.789646\pi\)
−0.789474 + 0.613784i \(0.789646\pi\)
\(350\) 1.10441 + 20.6738i 0.0590331 + 1.10506i
\(351\) −3.95867 1.80972i −0.211298 0.0965957i
\(352\) −0.138462 0.239824i −0.00738008 0.0127827i
\(353\) −29.0595 −1.54668 −0.773339 0.633992i \(-0.781415\pi\)
−0.773339 + 0.633992i \(0.781415\pi\)
\(354\) −1.38245 6.61121i −0.0734764 0.351382i
\(355\) 24.3412 + 5.83081i 1.29190 + 0.309467i
\(356\) 3.27700 5.67592i 0.173680 0.300823i
\(357\) 30.2484 27.0554i 1.60092 1.43193i
\(358\) 11.2818 + 6.51358i 0.596264 + 0.344253i
\(359\) 29.7773 + 17.1919i 1.57159 + 0.907356i 0.995975 + 0.0896318i \(0.0285690\pi\)
0.575611 + 0.817724i \(0.304764\pi\)
\(360\) 6.30965 + 2.27778i 0.332548 + 0.120049i
\(361\) −10.6603 + 15.7276i −0.561068 + 0.827770i
\(362\) 15.0743 0.792285
\(363\) −5.90592 + 17.9743i −0.309980 + 0.943408i
\(364\) 3.00385 + 1.73427i 0.157445 + 0.0909007i
\(365\) −3.35208 + 13.9935i −0.175456 + 0.732455i
\(366\) −8.42962 2.76976i −0.440623 0.144778i
\(367\) 9.51432 5.49310i 0.496644 0.286737i −0.230683 0.973029i \(-0.574096\pi\)
0.727326 + 0.686292i \(0.240763\pi\)
\(368\) −0.203518 −0.0106091
\(369\) 16.0507 7.01957i 0.835567 0.365424i
\(370\) 0.960233 4.00857i 0.0499201 0.208396i
\(371\) −19.2755 33.3861i −1.00073 1.73332i
\(372\) −1.96687 9.40606i −0.101978 0.487681i
\(373\) −2.18309 −0.113036 −0.0565180 0.998402i \(-0.518000\pi\)
−0.0565180 + 0.998402i \(0.518000\pi\)
\(374\) −0.783509 1.35708i −0.0405143 0.0701728i
\(375\) −16.5294 + 10.0886i −0.853573 + 0.520973i
\(376\) −10.2190 + 5.89995i −0.527005 + 0.304267i
\(377\) −3.40685 + 5.90083i −0.175462 + 0.303908i
\(378\) −2.03686 21.4189i −0.104765 1.10167i
\(379\) 9.44771i 0.485296i 0.970114 + 0.242648i \(0.0780160\pi\)
−0.970114 + 0.242648i \(0.921984\pi\)
\(380\) −9.39067 2.61060i −0.481731 0.133921i
\(381\) 10.6672 2.23058i 0.546495 0.114276i
\(382\) −4.08321 + 7.07232i −0.208915 + 0.361851i
\(383\) −22.9528 13.2518i −1.17283 0.677136i −0.218488 0.975840i \(-0.570113\pi\)
−0.954346 + 0.298703i \(0.903446\pi\)
\(384\) −1.29099 + 1.15471i −0.0658803 + 0.0589261i
\(385\) −0.729454 2.45804i −0.0371764 0.125273i
\(386\) −19.1325 + 11.0461i −0.973817 + 0.562233i
\(387\) 13.4246 + 30.6962i 0.682410 + 1.56038i
\(388\) −6.49777 −0.329874
\(389\) −30.4555 + 17.5835i −1.54415 + 0.891518i −0.545585 + 0.838056i \(0.683692\pi\)
−0.998570 + 0.0534626i \(0.982974\pi\)
\(390\) −0.0939998 + 3.24296i −0.00475986 + 0.164214i
\(391\) −1.15163 −0.0582407
\(392\) 10.1451i 0.512403i
\(393\) −0.652211 + 0.583365i −0.0328997 + 0.0294269i
\(394\) 23.3067 + 13.4561i 1.17417 + 0.677909i
\(395\) 8.44074 35.2366i 0.424700 1.77295i
\(396\) −0.825632 0.0922953i −0.0414896 0.00463801i
\(397\) −12.7678 7.37147i −0.640796 0.369963i 0.144125 0.989559i \(-0.453963\pi\)
−0.784921 + 0.619596i \(0.787296\pi\)
\(398\) 3.71387i 0.186159i
\(399\) 5.29189 + 30.8101i 0.264926 + 1.54244i
\(400\) −0.266723 4.99288i −0.0133361 0.249644i
\(401\) 10.0032 17.3261i 0.499537 0.865224i −0.500462 0.865758i \(-0.666837\pi\)
1.00000 0.000534108i \(0.000170012\pi\)
\(402\) 17.6634 + 5.80376i 0.880972 + 0.289465i
\(403\) 4.02484 2.32374i 0.200492 0.115754i
\(404\) 3.02926 + 1.74894i 0.150711 + 0.0870131i
\(405\) 16.7287 11.1871i 0.831256 0.555889i
\(406\) −33.6801 −1.67152
\(407\) 0.510485i 0.0253038i
\(408\) −7.30522 + 6.53409i −0.361662 + 0.323486i
\(409\) 6.13313 3.54097i 0.303264 0.175089i −0.340644 0.940192i \(-0.610645\pi\)
0.643908 + 0.765103i \(0.277312\pi\)
\(410\) −9.47616 8.98345i −0.467994 0.443661i
\(411\) −0.112537 + 0.0235322i −0.00555103 + 0.00116076i
\(412\) 3.35176 + 5.80542i 0.165129 + 0.286012i
\(413\) 13.9834 + 8.07333i 0.688079 + 0.397263i
\(414\) −0.362130 + 0.491568i −0.0177977 + 0.0241592i
\(415\) −0.955665 3.22030i −0.0469117 0.158078i
\(416\) −0.725452 0.418840i −0.0355682 0.0205353i
\(417\) −1.99702 + 0.417591i −0.0977945 + 0.0204495i
\(418\) 1.20630 + 0.0434920i 0.0590023 + 0.00212726i
\(419\) 15.8313i 0.773409i −0.922204 0.386705i \(-0.873613\pi\)
0.922204 0.386705i \(-0.126387\pi\)
\(420\) −14.1147 + 7.61259i −0.688726 + 0.371457i
\(421\) 9.83472 + 5.67808i 0.479315 + 0.276733i 0.720131 0.693838i \(-0.244082\pi\)
−0.240816 + 0.970571i \(0.577415\pi\)
\(422\) −0.994784 1.72302i −0.0484253 0.0838751i
\(423\) −3.93274 + 35.1806i −0.191217 + 1.71054i
\(424\) 4.65518 + 8.06300i 0.226075 + 0.391574i
\(425\) −1.50929 28.2529i −0.0732112 1.37047i
\(426\) 3.96834 + 18.9776i 0.192267 + 0.919466i
\(427\) 18.3700 10.6059i 0.888988 0.513258i
\(428\) −5.11050 + 2.95055i −0.247025 + 0.142620i
\(429\) −0.0822387 0.393285i −0.00397052 0.0189880i
\(430\) 17.1804 18.1227i 0.828513 0.873954i
\(431\) 6.74460 + 11.6820i 0.324876 + 0.562702i 0.981487 0.191527i \(-0.0613441\pi\)
−0.656611 + 0.754229i \(0.728011\pi\)
\(432\) 0.491917 + 5.17282i 0.0236674 + 0.248877i
\(433\) −7.19759 12.4666i −0.345894 0.599106i 0.639622 0.768690i \(-0.279091\pi\)
−0.985516 + 0.169584i \(0.945758\pi\)
\(434\) 19.8948 + 11.4863i 0.954982 + 0.551359i
\(435\) −14.9543 27.7272i −0.717006 1.32942i
\(436\) 11.2119i 0.536951i
\(437\) 0.470950 0.751784i 0.0225286 0.0359627i
\(438\) −10.9100 + 2.28136i −0.521301 + 0.109008i
\(439\) −19.8233 11.4450i −0.946117 0.546241i −0.0542443 0.998528i \(-0.517275\pi\)
−0.891873 + 0.452287i \(0.850608\pi\)
\(440\) 0.176169 + 0.593634i 0.00839851 + 0.0283004i
\(441\) 24.5039 + 18.0516i 1.16685 + 0.859600i
\(442\) −4.10507 2.37006i −0.195258 0.112732i
\(443\) 2.22771 + 3.85851i 0.105842 + 0.183324i 0.914082 0.405530i \(-0.132913\pi\)
−0.808240 + 0.588853i \(0.799580\pi\)
\(444\) 3.12527 0.653517i 0.148319 0.0310145i
\(445\) −10.0826 + 10.6356i −0.477960 + 0.504175i
\(446\) 19.4711 11.2416i 0.921981 0.532306i
\(447\) −8.65914 + 7.74510i −0.409563 + 0.366330i
\(448\) 4.14066i 0.195628i
\(449\) −22.9854 −1.08475 −0.542375 0.840137i \(-0.682475\pi\)
−0.542375 + 0.840137i \(0.682475\pi\)
\(450\) −12.5341 8.23985i −0.590865 0.388430i
\(451\) 1.40046 + 0.808555i 0.0659450 + 0.0380733i
\(452\) −2.27774 + 1.31505i −0.107136 + 0.0618548i
\(453\) −19.2214 6.31567i −0.903100 0.296736i
\(454\) 14.0551 24.3441i 0.659638 1.14253i
\(455\) −5.62863 5.33597i −0.263874 0.250154i
\(456\) −1.27803 7.44088i −0.0598493 0.348451i
\(457\) 13.1695i 0.616045i −0.951379 0.308022i \(-0.900333\pi\)
0.951379 0.308022i \(-0.0996672\pi\)
\(458\) 19.5975 + 11.3146i 0.915732 + 0.528698i
\(459\) 2.78358 + 29.2711i 0.129926 + 1.36626i
\(460\) 0.442560 + 0.106013i 0.0206345 + 0.00494288i
\(461\) 12.4399 + 7.18219i 0.579385 + 0.334508i 0.760889 0.648882i \(-0.224763\pi\)
−0.181504 + 0.983390i \(0.558097\pi\)
\(462\) 1.48031 1.32405i 0.0688703 0.0616004i
\(463\) 29.1669i 1.35550i −0.735292 0.677750i \(-0.762955\pi\)
0.735292 0.677750i \(-0.237045\pi\)
\(464\) 8.13400 0.377612
\(465\) −0.622571 + 21.4785i −0.0288710 + 0.996040i
\(466\) 16.2423 9.37752i 0.752412 0.434405i
\(467\) 29.0053 1.34221 0.671103 0.741364i \(-0.265821\pi\)
0.671103 + 0.741364i \(0.265821\pi\)
\(468\) −2.30248 + 1.00696i −0.106432 + 0.0465467i
\(469\) −38.4926 + 22.2237i −1.77742 + 1.02619i
\(470\) 25.2950 7.50663i 1.16677 0.346255i
\(471\) −0.171954 + 0.153803i −0.00792324 + 0.00708687i
\(472\) −3.37710 1.94977i −0.155444 0.0897454i
\(473\) −1.54632 + 2.67831i −0.0711000 + 0.123149i
\(474\) 27.4721 5.74461i 1.26184 0.263859i
\(475\) 19.0606 + 10.5685i 0.874561 + 0.484916i
\(476\) 23.4305i 1.07393i
\(477\) 27.7582 + 3.10301i 1.27096 + 0.142077i
\(478\) 4.70600 8.15104i 0.215248 0.372820i
\(479\) −22.9576 + 13.2546i −1.04896 + 0.605617i −0.922358 0.386336i \(-0.873740\pi\)
−0.126602 + 0.991954i \(0.540407\pi\)
\(480\) 3.40880 1.83850i 0.155590 0.0839156i
\(481\) 0.772092 + 1.33730i 0.0352044 + 0.0609757i
\(482\) −7.90693 −0.360151
\(483\) −0.298750 1.42870i −0.0135936 0.0650079i
\(484\) 5.46166 + 9.45987i 0.248257 + 0.429994i
\(485\) 14.1297 + 3.38470i 0.641598 + 0.153691i
\(486\) 13.3695 + 8.01609i 0.606451 + 0.363617i
\(487\) 11.6600 0.528366 0.264183 0.964473i \(-0.414898\pi\)
0.264183 + 0.964473i \(0.414898\pi\)
\(488\) −4.43650 + 2.56141i −0.200831 + 0.115950i
\(489\) −7.24823 2.38159i −0.327776 0.107699i
\(490\) 5.28458 22.0609i 0.238733 0.996611i
\(491\) 0.670228 + 0.386956i 0.0302470 + 0.0174631i 0.515047 0.857162i \(-0.327774\pi\)
−0.484800 + 0.874625i \(0.661108\pi\)
\(492\) 3.15726 9.60894i 0.142340 0.433204i
\(493\) 46.0274 2.07297
\(494\) 3.22590 1.71056i 0.145140 0.0769618i
\(495\) 1.74730 + 0.630774i 0.0785353 + 0.0283512i
\(496\) −4.80475 2.77402i −0.215740 0.124557i
\(497\) −40.1396 23.1746i −1.80051 1.03952i
\(498\) 1.93937 1.73465i 0.0869052 0.0777316i
\(499\) 5.69523 9.86443i 0.254953 0.441592i −0.709929 0.704273i \(-0.751273\pi\)
0.964883 + 0.262680i \(0.0846065\pi\)
\(500\) −2.02080 + 10.9962i −0.0903728 + 0.491765i
\(501\) 2.47140 + 11.8188i 0.110414 + 0.528027i
\(502\) −13.4601 −0.600753
\(503\) 15.2932 + 26.4887i 0.681892 + 1.18107i 0.974403 + 0.224809i \(0.0721759\pi\)
−0.292511 + 0.956262i \(0.594491\pi\)
\(504\) −10.0011 7.36768i −0.445486 0.328182i
\(505\) −5.67624 5.38110i −0.252589 0.239456i
\(506\) −0.0563593 −0.00250547
\(507\) 14.2010 + 15.8769i 0.630687 + 0.705119i
\(508\) 3.14595 5.44894i 0.139579 0.241758i
\(509\) 11.0074 + 19.0654i 0.487894 + 0.845058i 0.999903 0.0139223i \(-0.00443174\pi\)
−0.512009 + 0.858980i \(0.671098\pi\)
\(510\) 19.2892 10.4034i 0.854138 0.460670i
\(511\) 13.3229 23.0759i 0.589369 1.02082i
\(512\) 1.00000i 0.0441942i
\(513\) −20.2464 10.1530i −0.893900 0.448267i
\(514\) 14.1804 0.625469
\(515\) −4.26451 14.3701i −0.187917 0.633222i
\(516\) 18.3766 + 6.03810i 0.808986 + 0.265813i
\(517\) −2.82990 + 1.63384i −0.124459 + 0.0718563i
\(518\) −3.81646 + 6.61030i −0.167685 + 0.290440i
\(519\) −30.9442 + 27.6777i −1.35830 + 1.21492i
\(520\) 1.35936 + 1.28868i 0.0596117 + 0.0565122i
\(521\) −24.9351 −1.09243 −0.546214 0.837646i \(-0.683931\pi\)
−0.546214 + 0.837646i \(0.683931\pi\)
\(522\) 14.4732 19.6465i 0.633476 0.859902i
\(523\) −8.63200 14.9511i −0.377451 0.653764i 0.613240 0.789897i \(-0.289866\pi\)
−0.990691 + 0.136133i \(0.956533\pi\)
\(524\) 0.505204i 0.0220700i
\(525\) 34.6585 9.20159i 1.51262 0.401591i
\(526\) −0.000566048 0 0.000326808i −2.46809e−5 0 1.42495e-5i
\(527\) −27.1883 15.6972i −1.18434 0.683780i
\(528\) −0.357506 + 0.319768i −0.0155585 + 0.0139161i
\(529\) 11.4793 19.8827i 0.499100 0.864466i
\(530\) −5.92288 19.9583i −0.257273 0.866932i
\(531\) −10.7184 + 4.68756i −0.465140 + 0.203423i
\(532\) 15.2953 + 9.58168i 0.663137 + 0.415418i
\(533\) 4.89165 0.211881
\(534\) −10.7846 3.54355i −0.466695 0.153344i
\(535\) 12.6500 3.75405i 0.546906 0.162302i
\(536\) 9.29624 5.36719i 0.401537 0.231827i
\(537\) 7.04340 21.4362i 0.303945 0.925040i
\(538\) −4.44215 + 2.56468i −0.191515 + 0.110571i
\(539\) 2.80942i 0.121010i
\(540\) 1.62483 11.5048i 0.0699216 0.495087i
\(541\) 1.98420 + 3.43673i 0.0853073 + 0.147757i 0.905522 0.424299i \(-0.139479\pi\)
−0.820215 + 0.572056i \(0.806146\pi\)
\(542\) −3.18447 + 1.83855i −0.136785 + 0.0789726i
\(543\) −5.34407 25.5566i −0.229336 1.09674i
\(544\) 5.65864i 0.242612i
\(545\) 5.84028 24.3807i 0.250170 1.04436i
\(546\) 1.87534 5.70750i 0.0802572 0.244258i
\(547\) −1.00884 1.74735i −0.0431347 0.0747115i 0.843652 0.536890i \(-0.180401\pi\)
−0.886787 + 0.462179i \(0.847068\pi\)
\(548\) −0.0331892 + 0.0574854i −0.00141777 + 0.00245566i
\(549\) −1.70737 + 15.2734i −0.0728687 + 0.651851i
\(550\) −0.0738622 1.38265i −0.00314949 0.0589565i
\(551\) −18.8225 + 30.0465i −0.801864 + 1.28002i
\(552\) 0.0721505 + 0.345041i 0.00307093 + 0.0146859i
\(553\) −33.5478 + 58.1065i −1.42660 + 2.47094i
\(554\) 12.9107 22.3621i 0.548525 0.950073i
\(555\) −7.13648 0.206857i −0.302927 0.00878057i
\(556\) −0.588959 + 1.02011i −0.0249774 + 0.0432622i
\(557\) −12.2671 21.2472i −0.519773 0.900274i −0.999736 0.0229846i \(-0.992683\pi\)
0.479963 0.877289i \(-0.340650\pi\)
\(558\) −15.2496 + 6.66920i −0.645566 + 0.282330i
\(559\) 9.35505i 0.395676i
\(560\) −2.15688 + 9.00406i −0.0911446 + 0.380491i
\(561\) −2.02300 + 1.80945i −0.0854110 + 0.0763951i
\(562\) 8.60469i 0.362967i
\(563\) 27.1996i 1.14633i −0.819441 0.573164i \(-0.805716\pi\)
0.819441 0.573164i \(-0.194284\pi\)
\(564\) 13.6255 + 15.2335i 0.573736 + 0.641446i
\(565\) 5.63806 1.67317i 0.237195 0.0703907i
\(566\) 7.48566 + 12.9655i 0.314646 + 0.544982i
\(567\) −35.5910 + 11.0466i −1.49468 + 0.463913i
\(568\) 9.69401 + 5.59684i 0.406752 + 0.234838i
\(569\) 14.1549 0.593405 0.296702 0.954970i \(-0.404113\pi\)
0.296702 + 0.954970i \(0.404113\pi\)
\(570\) −1.09682 + 16.8463i −0.0459408 + 0.705613i
\(571\) 29.8156 1.24774 0.623871 0.781527i \(-0.285559\pi\)
0.623871 + 0.781527i \(0.285559\pi\)
\(572\) −0.200896 0.115987i −0.00839988 0.00484967i
\(573\) 13.4378 + 4.41534i 0.561374 + 0.184454i
\(574\) 12.0897 + 20.9400i 0.504616 + 0.874020i
\(575\) −0.907146 0.461060i −0.0378306 0.0192276i
\(576\) 2.41535 + 1.77935i 0.100640 + 0.0741395i
\(577\) 10.8282i 0.450785i 0.974268 + 0.225393i \(0.0723665\pi\)
−0.974268 + 0.225393i \(0.927634\pi\)
\(578\) 15.0202i 0.624756i
\(579\) 25.5102 + 28.5208i 1.06017 + 1.18528i
\(580\) −17.6878 4.23702i −0.734445 0.175932i
\(581\) 6.22026i 0.258060i
\(582\) 2.30356 + 11.0162i 0.0954858 + 0.456636i
\(583\) 1.28913 + 2.23285i 0.0533905 + 0.0924751i
\(584\) −3.21757 + 5.57300i −0.133144 + 0.230612i
\(585\) 5.53138 0.990316i 0.228694 0.0409445i
\(586\) −4.99797 + 8.65674i −0.206464 + 0.357606i
\(587\) −7.46457 + 12.9290i −0.308096 + 0.533638i −0.977946 0.208859i \(-0.933025\pi\)
0.669850 + 0.742496i \(0.266358\pi\)
\(588\) 17.1997 3.59659i 0.709306 0.148321i
\(589\) 21.3655 11.3292i 0.880350 0.466813i
\(590\) 6.32803 + 5.99901i 0.260521 + 0.246975i
\(591\) 14.5507 44.2841i 0.598534 1.82160i
\(592\) 0.921703 1.59644i 0.0378817 0.0656131i
\(593\) −16.9851 29.4191i −0.697494 1.20810i −0.969333 0.245753i \(-0.920965\pi\)
0.271838 0.962343i \(-0.412368\pi\)
\(594\) 0.136224 + 1.43248i 0.00558934 + 0.0587754i
\(595\) −12.2050 + 50.9507i −0.500355 + 2.08878i
\(596\) 6.70739i 0.274745i
\(597\) 6.29642 1.31663i 0.257695 0.0538859i
\(598\) −0.147643 + 0.0852415i −0.00603756 + 0.00348579i
\(599\) 18.2404 + 31.5932i 0.745281 + 1.29086i 0.950063 + 0.312057i \(0.101018\pi\)
−0.204782 + 0.978808i \(0.565649\pi\)
\(600\) −8.37028 + 2.22225i −0.341715 + 0.0907231i
\(601\) 6.32670i 0.258072i 0.991640 + 0.129036i \(0.0411882\pi\)
−0.991640 + 0.129036i \(0.958812\pi\)
\(602\) −40.0468 + 23.1210i −1.63219 + 0.942343i
\(603\) 3.57762 32.0038i 0.145692 1.30329i
\(604\) −10.1162 + 5.84059i −0.411622 + 0.237650i
\(605\) −6.94898 23.4159i −0.282516 0.951993i
\(606\) 1.89120 5.75577i 0.0768249 0.233812i
\(607\) 30.0680 1.22042 0.610212 0.792238i \(-0.291084\pi\)
0.610212 + 0.792238i \(0.291084\pi\)
\(608\) −3.69394 2.31405i −0.149809 0.0938470i
\(609\) 11.9402 + 57.1007i 0.483839 + 2.31384i
\(610\) 10.9816 3.25894i 0.444633 0.131951i
\(611\) −4.94227 + 8.56026i −0.199943 + 0.346311i
\(612\) 13.6676 + 10.0687i 0.552479 + 0.407003i
\(613\) 10.8242 + 6.24937i 0.437187 + 0.252410i 0.702403 0.711779i \(-0.252110\pi\)
−0.265217 + 0.964189i \(0.585444\pi\)
\(614\) −24.9645 + 14.4133i −1.00749 + 0.581672i
\(615\) −11.8709 + 19.2505i −0.478682 + 0.776255i
\(616\) 1.14665i 0.0461999i
\(617\) 14.8991 + 25.8061i 0.599817 + 1.03891i 0.992848 + 0.119388i \(0.0380931\pi\)
−0.393031 + 0.919525i \(0.628574\pi\)
\(618\) 8.65415 7.74063i 0.348121 0.311374i
\(619\) 4.81279 0.193443 0.0967213 0.995312i \(-0.469164\pi\)
0.0967213 + 0.995312i \(0.469164\pi\)
\(620\) 9.00317 + 8.53505i 0.361576 + 0.342776i
\(621\) 0.961775 + 0.439679i 0.0385947 + 0.0176437i
\(622\) 9.54117 16.5258i 0.382566 0.662624i
\(623\) 23.5021 13.5689i 0.941590 0.543627i
\(624\) −0.452909 + 1.37840i −0.0181309 + 0.0551803i
\(625\) 10.1223 22.8591i 0.404890 0.914365i
\(626\) −14.6473 −0.585424
\(627\) −0.353919 2.06056i −0.0141342 0.0822910i
\(628\) 0.133196i 0.00531511i
\(629\) 5.21558 9.03365i 0.207959 0.360195i
\(630\) 17.9101 + 21.2310i 0.713557 + 0.845863i
\(631\) 9.66769 + 16.7449i 0.384865 + 0.666605i 0.991750 0.128184i \(-0.0409147\pi\)
−0.606886 + 0.794789i \(0.707581\pi\)
\(632\) 8.10205 14.0332i 0.322282 0.558209i
\(633\) −2.56850 + 2.29738i −0.102089 + 0.0913125i
\(634\) 3.22170 0.127950
\(635\) −9.67937 + 10.2103i −0.384114 + 0.405182i
\(636\) 12.0195 10.7508i 0.476605 0.426296i
\(637\) 4.24916 + 7.35976i 0.168358 + 0.291604i
\(638\) 2.25251 0.0891777
\(639\) 30.7674 13.4557i 1.21714 0.532299i
\(640\) 0.520902 2.17455i 0.0205904 0.0859566i
\(641\) −8.82740 + 15.2895i −0.348661 + 0.603899i −0.986012 0.166675i \(-0.946697\pi\)
0.637351 + 0.770574i \(0.280030\pi\)
\(642\) 6.81406 + 7.61823i 0.268930 + 0.300668i
\(643\) −22.5254 13.0051i −0.888315 0.512869i −0.0149244 0.999889i \(-0.504751\pi\)
−0.873391 + 0.487019i \(0.838084\pi\)
\(644\) −0.729799 0.421350i −0.0287581 0.0166035i
\(645\) −36.8156 22.7026i −1.44961 0.893913i
\(646\) −20.9027 13.0943i −0.822404 0.515190i
\(647\) −32.4210 −1.27460 −0.637300 0.770616i \(-0.719949\pi\)
−0.637300 + 0.770616i \(0.719949\pi\)
\(648\) 8.59550 2.66783i 0.337663 0.104802i
\(649\) −0.935204 0.539940i −0.0367099 0.0211945i
\(650\) −2.28471 3.51038i −0.0896138 0.137689i
\(651\) 12.4206 37.8014i 0.486802 1.48155i
\(652\) −3.81474 + 2.20244i −0.149397 + 0.0862541i
\(653\) −6.39815 −0.250379 −0.125190 0.992133i \(-0.539954\pi\)
−0.125190 + 0.992133i \(0.539954\pi\)
\(654\) 19.0084 3.97479i 0.743286 0.155426i
\(655\) 0.263162 1.09859i 0.0102826 0.0429255i
\(656\) −2.91976 5.05717i −0.113997 0.197449i
\(657\) 7.73556 + 17.6879i 0.301793 + 0.690069i
\(658\) −48.8593 −1.90474
\(659\) 19.1631 + 33.1915i 0.746489 + 1.29296i 0.949496 + 0.313779i \(0.101595\pi\)
−0.203007 + 0.979177i \(0.565072\pi\)
\(660\) 0.943982 0.509126i 0.0367445 0.0198177i
\(661\) 6.47622 3.73905i 0.251896 0.145432i −0.368736 0.929534i \(-0.620209\pi\)
0.620632 + 0.784102i \(0.286876\pi\)
\(662\) −6.21648 + 10.7673i −0.241610 + 0.418481i
\(663\) −2.56285 + 7.79989i −0.0995328 + 0.302922i
\(664\) 1.50224i 0.0582982i
\(665\) −28.2694 28.8032i −1.09624 1.11694i
\(666\) −2.21592 5.06685i −0.0858652 0.196336i
\(667\) 0.827708 1.43363i 0.0320490 0.0555105i
\(668\) 6.03723 + 3.48560i 0.233588 + 0.134862i
\(669\) −25.9616 29.0255i −1.00373 1.12219i
\(670\) −23.0109 + 6.82878i −0.888989 + 0.263819i
\(671\) −1.22858 + 0.709320i −0.0474287 + 0.0273830i
\(672\) −7.02000 + 1.46793i −0.270802 + 0.0566266i
\(673\) 36.1921 1.39510 0.697551 0.716535i \(-0.254273\pi\)
0.697551 + 0.716535i \(0.254273\pi\)
\(674\) −1.16376 + 0.671895i −0.0448262 + 0.0258804i
\(675\) −9.52613 + 24.1713i −0.366661 + 0.930355i
\(676\) 12.2983 0.473011
\(677\) 4.59634i 0.176652i 0.996092 + 0.0883258i \(0.0281516\pi\)
−0.996092 + 0.0883258i \(0.971848\pi\)
\(678\) 3.03701 + 3.39543i 0.116636 + 0.130401i
\(679\) −23.3005 13.4525i −0.894190 0.516261i
\(680\) 2.94759 12.3050i 0.113035 0.471874i
\(681\) −46.2553 15.1984i −1.77251 0.582402i
\(682\) −1.33056 0.768196i −0.0509496 0.0294158i
\(683\) 20.8899i 0.799330i 0.916661 + 0.399665i \(0.130874\pi\)
−0.916661 + 0.399665i \(0.869126\pi\)
\(684\) −12.1620 + 4.80466i −0.465027 + 0.183711i
\(685\) 0.102116 0.107717i 0.00390164 0.00411564i
\(686\) −6.51131 + 11.2779i −0.248603 + 0.430593i
\(687\) 12.2350 37.2365i 0.466794 1.42066i
\(688\) 9.67160 5.58390i 0.368726 0.212884i
\(689\) 6.75422 + 3.89955i 0.257315 + 0.148561i
\(690\) 0.0228377 0.787891i 0.000869415 0.0299945i
\(691\) −37.5189 −1.42729 −0.713644 0.700509i \(-0.752957\pi\)
−0.713644 + 0.700509i \(0.752957\pi\)
\(692\) 23.9694i 0.911181i
\(693\) −2.76957 2.04029i −0.105207 0.0775044i
\(694\) −20.7407 + 11.9747i −0.787308 + 0.454552i
\(695\) 1.81210 1.91148i 0.0687367 0.0725066i
\(696\) −2.88364 13.7902i −0.109304 0.522718i
\(697\) −16.5219 28.6167i −0.625810 1.08393i
\(698\) 25.5453 + 14.7486i 0.966904 + 0.558242i
\(699\) −21.6566 24.2125i −0.819129 0.915800i
\(700\) 9.38046 18.4563i 0.354548 0.697581i
\(701\) 14.7634 + 8.52364i 0.557605 + 0.321933i 0.752184 0.658954i \(-0.229001\pi\)
−0.194579 + 0.980887i \(0.562334\pi\)
\(702\) 2.52344 + 3.54660i 0.0952413 + 0.133858i
\(703\) 3.76427 + 7.09894i 0.141972 + 0.267742i
\(704\) 0.276925i 0.0104370i
\(705\) −21.6941 40.2235i −0.817047 1.51490i
\(706\) 25.1662 + 14.5297i 0.947143 + 0.546834i
\(707\) 7.24177 + 12.5431i 0.272355 + 0.471733i
\(708\) −2.10837 + 6.41670i −0.0792373 + 0.241154i
\(709\) 8.29143 + 14.3612i 0.311391 + 0.539345i 0.978664 0.205468i \(-0.0658717\pi\)
−0.667273 + 0.744814i \(0.732538\pi\)
\(710\) −18.1647 17.2202i −0.681709 0.646263i
\(711\) −19.4786 44.5392i −0.730506 1.67035i
\(712\) −5.67592 + 3.27700i −0.212714 + 0.122811i
\(713\) −0.977854 + 0.564564i −0.0366209 + 0.0211431i
\(714\) −39.7236 + 8.30648i −1.48662 + 0.310862i
\(715\) 0.376440 + 0.356867i 0.0140781 + 0.0133461i
\(716\) −6.51358 11.2818i −0.243424 0.421622i
\(717\) −15.4875 5.08880i −0.578390 0.190045i
\(718\) −17.1919 29.7773i −0.641597 1.11128i
\(719\) 22.8964 + 13.2192i 0.853892 + 0.492994i 0.861962 0.506973i \(-0.169236\pi\)
−0.00807046 + 0.999967i \(0.502569\pi\)
\(720\) −4.32543 5.12744i −0.161199 0.191088i
\(721\) 27.7570i 1.03372i
\(722\) 17.0959 8.29038i 0.636243 0.308536i
\(723\) 2.80314 + 13.4053i 0.104250 + 0.498547i
\(724\) −13.0547 7.53713i −0.485174 0.280115i
\(725\) 36.2559 + 18.4272i 1.34651 + 0.684369i
\(726\) 14.1018 12.6133i 0.523368 0.468122i
\(727\) −4.72362 2.72718i −0.175189 0.101146i 0.409841 0.912157i \(-0.365584\pi\)
−0.585031 + 0.811011i \(0.698917\pi\)
\(728\) −1.73427 3.00385i −0.0642765 0.111330i
\(729\) 8.85065 25.5082i 0.327802 0.944747i
\(730\) 9.89975 10.4427i 0.366406 0.386502i
\(731\) 54.7281 31.5973i 2.02419 1.16867i
\(732\) 5.91539 + 6.61350i 0.218639 + 0.244442i
\(733\) 6.23280i 0.230214i 0.993353 + 0.115107i \(0.0367210\pi\)
−0.993353 + 0.115107i \(0.963279\pi\)
\(734\) −10.9862 −0.405508
\(735\) −39.2751 1.13842i −1.44869 0.0419913i
\(736\) 0.176252 + 0.101759i 0.00649673 + 0.00375089i
\(737\) 2.57436 1.48631i 0.0948278 0.0547489i
\(738\) −17.4101 1.94623i −0.640875 0.0716418i
\(739\) −7.84449 + 13.5871i −0.288564 + 0.499808i −0.973467 0.228826i \(-0.926511\pi\)
0.684903 + 0.728634i \(0.259845\pi\)
\(740\) −2.83587 + 2.99141i −0.104249 + 0.109966i
\(741\) −4.04369 4.86271i −0.148549 0.178636i
\(742\) 38.5510i 1.41525i
\(743\) −17.9419 10.3588i −0.658225 0.380026i 0.133375 0.991066i \(-0.457418\pi\)
−0.791600 + 0.611039i \(0.790752\pi\)
\(744\) −2.99967 + 9.12932i −0.109973 + 0.334697i
\(745\) 3.49389 14.5855i 0.128006 0.534373i
\(746\) 1.89061 + 1.09154i 0.0692201 + 0.0399643i
\(747\) −3.62843 2.67301i −0.132757 0.0978002i
\(748\) 1.56702i 0.0572958i
\(749\) −24.4344 −0.892815
\(750\) 19.3592 0.472306i 0.706896 0.0172462i
\(751\) −44.2932 + 25.5727i −1.61628 + 0.933161i −0.628411 + 0.777881i \(0.716294\pi\)
−0.987871 + 0.155279i \(0.950372\pi\)
\(752\) 11.7999 0.430298
\(753\) 4.77181 + 22.8200i 0.173895 + 0.831606i
\(754\) 5.90083 3.40685i 0.214896 0.124070i
\(755\) 25.0405 7.43110i 0.911319 0.270446i
\(756\) −8.94546 + 19.5677i −0.325343 + 0.711671i
\(757\) −22.3683 12.9143i −0.812988 0.469379i 0.0350041 0.999387i \(-0.488856\pi\)
−0.847993 + 0.530008i \(0.822189\pi\)
\(758\) 4.72385 8.18196i 0.171578 0.297182i
\(759\) 0.0199803 + 0.0955504i 0.000725238 + 0.00346826i
\(760\) 6.82726 + 6.95619i 0.247651 + 0.252327i
\(761\) 1.34313i 0.0486886i −0.999704 0.0243443i \(-0.992250\pi\)
0.999704 0.0243443i \(-0.00774979\pi\)
\(762\) −10.3533 3.40184i −0.375061 0.123236i
\(763\) −23.2122 + 40.2048i −0.840340 + 1.45551i
\(764\) 7.07232 4.08321i 0.255868 0.147725i
\(765\) −24.4760 29.0143i −0.884933 1.04901i
\(766\) 13.2518 + 22.9528i 0.478808 + 0.829319i
\(767\) −3.26657 −0.117949
\(768\) 1.69538 0.354516i 0.0611768 0.0127925i
\(769\) −26.6553 46.1683i −0.961214 1.66487i −0.719461 0.694533i \(-0.755611\pi\)
−0.241753 0.970338i \(-0.577722\pi\)
\(770\) −0.597293 + 2.49345i −0.0215249 + 0.0898577i
\(771\) −5.02717 24.0411i −0.181049 0.865820i
\(772\) 22.0923 0.795118
\(773\) 22.3337 12.8944i 0.803289 0.463779i −0.0413311 0.999146i \(-0.513160\pi\)
0.844620 + 0.535366i \(0.179826\pi\)
\(774\) 3.72208 33.2960i 0.133787 1.19680i
\(775\) −15.1319 23.2496i −0.543554 0.835152i