Properties

Label 570.2.bf.a.29.8
Level $570$
Weight $2$
Character 570.29
Analytic conductor $4.551$
Analytic rank $0$
Dimension $240$
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.bf (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(40\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 29.8
Character \(\chi\) \(=\) 570.29
Dual form 570.2.bf.a.59.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.984808 + 0.173648i) q^{2} +(-0.977341 - 1.42997i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.640862 + 2.14226i) q^{5} +(1.21080 + 1.23853i) q^{6} +(1.22822 + 0.709111i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-1.08961 + 2.79513i) q^{9} +O(q^{10})\) \(q+(-0.984808 + 0.173648i) q^{2} +(-0.977341 - 1.42997i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.640862 + 2.14226i) q^{5} +(1.21080 + 1.23853i) q^{6} +(1.22822 + 0.709111i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-1.08961 + 2.79513i) q^{9} +(-1.00313 - 1.99843i) q^{10} +(-4.15895 + 2.40117i) q^{11} +(-1.40748 - 1.00946i) q^{12} +(-4.38640 - 3.68062i) q^{13} +(-1.33269 - 0.485061i) q^{14} +(2.43703 - 3.01013i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-0.869046 - 4.92861i) q^{17} +(0.587687 - 2.94187i) q^{18} +(3.92152 + 1.90308i) q^{19} +(1.33491 + 1.79388i) q^{20} +(-0.186381 - 2.44935i) q^{21} +(3.67881 - 3.08688i) q^{22} +(-4.49116 + 1.63465i) q^{23} +(1.56139 + 0.749717i) q^{24} +(-4.17859 + 2.74579i) q^{25} +(4.95889 + 2.86302i) q^{26} +(5.06186 - 1.17369i) q^{27} +(1.39668 + 0.246272i) q^{28} +(0.843948 - 4.78627i) q^{29} +(-1.87730 + 3.38759i) q^{30} +(-8.38379 - 4.84038i) q^{31} +(-0.642788 + 0.766044i) q^{32} +(7.49830 + 3.60040i) q^{33} +(1.71169 + 4.70282i) q^{34} +(-0.731986 + 3.08561i) q^{35} +(-0.0679076 + 2.99923i) q^{36} -6.32334 q^{37} +(-4.19241 - 1.19320i) q^{38} +(-0.976165 + 9.86962i) q^{39} +(-1.62614 - 1.53482i) q^{40} +(-3.61797 + 3.03584i) q^{41} +(0.608875 + 2.37978i) q^{42} +(-3.09131 + 8.49330i) q^{43} +(-3.08688 + 3.67881i) q^{44} +(-6.68620 - 0.542938i) q^{45} +(4.13907 - 2.38969i) q^{46} +(-0.195215 + 1.10712i) q^{47} +(-1.66785 - 0.467196i) q^{48} +(-2.49432 - 4.32029i) q^{49} +(3.63831 - 3.42968i) q^{50} +(-6.19839 + 6.05964i) q^{51} +(-5.38071 - 1.95842i) q^{52} +(-0.0601527 - 0.165268i) q^{53} +(-4.78115 + 2.03484i) q^{54} +(-7.80925 - 7.37075i) q^{55} -1.41822 q^{56} +(-1.11132 - 7.46759i) q^{57} +4.86010i q^{58} +(0.697387 + 3.95508i) q^{59} +(1.26053 - 3.66211i) q^{60} +(0.668904 - 0.243461i) q^{61} +(9.09695 + 3.31102i) q^{62} +(-3.32034 + 2.66037i) q^{63} +(0.500000 - 0.866025i) q^{64} +(5.07379 - 11.7556i) q^{65} +(-8.00959 - 2.24363i) q^{66} +(-2.07512 + 11.7686i) q^{67} +(-2.50232 - 4.33414i) q^{68} +(6.72688 + 4.82460i) q^{69} +(0.185055 - 3.16584i) q^{70} +(11.1500 + 4.05828i) q^{71} +(-0.453935 - 2.96546i) q^{72} +(0.496670 + 0.591909i) q^{73} +(6.22728 - 1.09804i) q^{74} +(8.01030 + 3.29167i) q^{75} +(4.33591 + 0.447070i) q^{76} -6.81079 q^{77} +(-0.752507 - 9.88919i) q^{78} +(6.74377 + 8.03691i) q^{79} +(1.86795 + 1.22913i) q^{80} +(-6.62550 - 6.09120i) q^{81} +(3.03584 - 3.61797i) q^{82} +(-1.06491 + 1.84448i) q^{83} +(-1.01287 - 2.23789i) q^{84} +(10.0014 - 5.02029i) q^{85} +(1.56950 - 8.90107i) q^{86} +(-7.66903 + 3.47100i) q^{87} +(2.40117 - 4.15895i) q^{88} +(-0.424481 - 0.356182i) q^{89} +(6.67890 - 0.626356i) q^{90} +(-2.77747 - 7.63105i) q^{91} +(-3.66122 + 3.07213i) q^{92} +(1.27223 + 16.7192i) q^{93} -1.12420i q^{94} +(-1.56374 + 9.62054i) q^{95} +(1.72364 + 0.170478i) q^{96} +(-3.40129 - 19.2897i) q^{97} +(3.20664 + 3.82152i) q^{98} +(-2.17995 - 14.2411i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + O(q^{10}) \) \( 240q - 30q^{15} + 48q^{19} + 12q^{25} - 48q^{39} + 36q^{45} - 72q^{46} + 216q^{49} - 180q^{51} + 36q^{54} + 60q^{55} + 6q^{60} - 72q^{61} + 120q^{64} - 156q^{66} + 48q^{79} - 120q^{81} - 108q^{84} - 48q^{85} - 36q^{90} - 24q^{91} - 216q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{17}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.984808 + 0.173648i −0.696364 + 0.122788i
\(3\) −0.977341 1.42997i −0.564268 0.825592i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) 0.640862 + 2.14226i 0.286602 + 0.958050i
\(6\) 1.21080 + 1.23853i 0.494309 + 0.505627i
\(7\) 1.22822 + 0.709111i 0.464222 + 0.268019i 0.713818 0.700331i \(-0.246964\pi\)
−0.249596 + 0.968350i \(0.580298\pi\)
\(8\) −0.866025 + 0.500000i −0.306186 + 0.176777i
\(9\) −1.08961 + 2.79513i −0.363203 + 0.931710i
\(10\) −1.00313 1.99843i −0.317216 0.631960i
\(11\) −4.15895 + 2.40117i −1.25397 + 0.723980i −0.971896 0.235413i \(-0.924356\pi\)
−0.282075 + 0.959392i \(0.591023\pi\)
\(12\) −1.40748 1.00946i −0.406304 0.291406i
\(13\) −4.38640 3.68062i −1.21657 1.02082i −0.998997 0.0447764i \(-0.985742\pi\)
−0.217570 0.976045i \(-0.569813\pi\)
\(14\) −1.33269 0.485061i −0.356177 0.129638i
\(15\) 2.43703 3.01013i 0.629237 0.777213i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −0.869046 4.92861i −0.210775 1.19536i −0.888090 0.459670i \(-0.847968\pi\)
0.677315 0.735693i \(-0.263143\pi\)
\(18\) 0.587687 2.94187i 0.138519 0.693406i
\(19\) 3.92152 + 1.90308i 0.899658 + 0.436596i
\(20\) 1.33491 + 1.79388i 0.298495 + 0.401124i
\(21\) −0.186381 2.44935i −0.0406716 0.534493i
\(22\) 3.67881 3.08688i 0.784324 0.658126i
\(23\) −4.49116 + 1.63465i −0.936471 + 0.340847i −0.764771 0.644302i \(-0.777148\pi\)
−0.171700 + 0.985149i \(0.554926\pi\)
\(24\) 1.56139 + 0.749717i 0.318716 + 0.153035i
\(25\) −4.17859 + 2.74579i −0.835718 + 0.549159i
\(26\) 4.95889 + 2.86302i 0.972518 + 0.561484i
\(27\) 5.06186 1.17369i 0.974156 0.225876i
\(28\) 1.39668 + 0.246272i 0.263947 + 0.0465410i
\(29\) 0.843948 4.78627i 0.156717 0.888787i −0.800482 0.599357i \(-0.795423\pi\)
0.957199 0.289430i \(-0.0934659\pi\)
\(30\) −1.87730 + 3.38759i −0.342746 + 0.618486i
\(31\) −8.38379 4.84038i −1.50577 0.869359i −0.999978 0.00670539i \(-0.997866\pi\)
−0.505796 0.862653i \(-0.668801\pi\)
\(32\) −0.642788 + 0.766044i −0.113630 + 0.135419i
\(33\) 7.49830 + 3.60040i 1.30529 + 0.626749i
\(34\) 1.71169 + 4.70282i 0.293552 + 0.806527i
\(35\) −0.731986 + 3.08561i −0.123728 + 0.521563i
\(36\) −0.0679076 + 2.99923i −0.0113179 + 0.499872i
\(37\) −6.32334 −1.03955 −0.519775 0.854303i \(-0.673984\pi\)
−0.519775 + 0.854303i \(0.673984\pi\)
\(38\) −4.19241 1.19320i −0.680098 0.193563i
\(39\) −0.976165 + 9.86962i −0.156311 + 1.58040i
\(40\) −1.62614 1.53482i −0.257115 0.242677i
\(41\) −3.61797 + 3.03584i −0.565032 + 0.474118i −0.879993 0.474987i \(-0.842453\pi\)
0.314961 + 0.949105i \(0.398008\pi\)
\(42\) 0.608875 + 2.37978i 0.0939514 + 0.367208i
\(43\) −3.09131 + 8.49330i −0.471420 + 1.29522i 0.445190 + 0.895436i \(0.353136\pi\)
−0.916611 + 0.399781i \(0.869086\pi\)
\(44\) −3.08688 + 3.67881i −0.465365 + 0.554601i
\(45\) −6.68620 0.542938i −0.996719 0.0809364i
\(46\) 4.13907 2.38969i 0.610273 0.352341i
\(47\) −0.195215 + 1.10712i −0.0284750 + 0.161490i −0.995730 0.0923186i \(-0.970572\pi\)
0.967254 + 0.253808i \(0.0816833\pi\)
\(48\) −1.66785 0.467196i −0.240734 0.0674339i
\(49\) −2.49432 4.32029i −0.356332 0.617185i
\(50\) 3.63831 3.42968i 0.514534 0.485030i
\(51\) −6.19839 + 6.05964i −0.867948 + 0.848519i
\(52\) −5.38071 1.95842i −0.746170 0.271584i
\(53\) −0.0601527 0.165268i −0.00826261 0.0227013i 0.935493 0.353346i \(-0.114956\pi\)
−0.943755 + 0.330645i \(0.892734\pi\)
\(54\) −4.78115 + 2.03484i −0.650632 + 0.276907i
\(55\) −7.80925 7.37075i −1.05300 0.993871i
\(56\) −1.41822 −0.189518
\(57\) −1.11132 7.46759i −0.147198 0.989107i
\(58\) 4.86010i 0.638163i
\(59\) 0.697387 + 3.95508i 0.0907921 + 0.514907i 0.995956 + 0.0898444i \(0.0286370\pi\)
−0.905164 + 0.425063i \(0.860252\pi\)
\(60\) 1.26053 3.66211i 0.162733 0.472777i
\(61\) 0.668904 0.243461i 0.0856443 0.0311720i −0.298843 0.954302i \(-0.596601\pi\)
0.384487 + 0.923130i \(0.374378\pi\)
\(62\) 9.09695 + 3.31102i 1.15531 + 0.420500i
\(63\) −3.32034 + 2.66037i −0.418323 + 0.335175i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) 5.07379 11.7556i 0.629326 1.45810i
\(66\) −8.00959 2.24363i −0.985912 0.276172i
\(67\) −2.07512 + 11.7686i −0.253516 + 1.43776i 0.546336 + 0.837566i \(0.316022\pi\)
−0.799852 + 0.600197i \(0.795089\pi\)
\(68\) −2.50232 4.33414i −0.303451 0.525592i
\(69\) 6.72688 + 4.82460i 0.809821 + 0.580813i
\(70\) 0.185055 3.16584i 0.0221183 0.378390i
\(71\) 11.1500 + 4.05828i 1.32327 + 0.481630i 0.904504 0.426466i \(-0.140242\pi\)
0.418763 + 0.908096i \(0.362464\pi\)
\(72\) −0.453935 2.96546i −0.0534968 0.349483i
\(73\) 0.496670 + 0.591909i 0.0581309 + 0.0692777i 0.794326 0.607491i \(-0.207824\pi\)
−0.736195 + 0.676769i \(0.763380\pi\)
\(74\) 6.22728 1.09804i 0.723906 0.127644i
\(75\) 8.01030 + 3.29167i 0.924950 + 0.380089i
\(76\) 4.33591 + 0.447070i 0.497363 + 0.0512824i
\(77\) −6.81079 −0.776161
\(78\) −0.752507 9.88919i −0.0852047 1.11973i
\(79\) 6.74377 + 8.03691i 0.758733 + 0.904223i 0.997767 0.0667883i \(-0.0212752\pi\)
−0.239034 + 0.971011i \(0.576831\pi\)
\(80\) 1.86795 + 1.22913i 0.208843 + 0.137421i
\(81\) −6.62550 6.09120i −0.736167 0.676800i
\(82\) 3.03584 3.61797i 0.335252 0.399538i
\(83\) −1.06491 + 1.84448i −0.116889 + 0.202458i −0.918533 0.395343i \(-0.870626\pi\)
0.801644 + 0.597801i \(0.203959\pi\)
\(84\) −1.01287 2.23789i −0.110513 0.244174i
\(85\) 10.0014 5.02029i 1.08481 0.544526i
\(86\) 1.56950 8.90107i 0.169243 0.959827i
\(87\) −7.66903 + 3.47100i −0.822206 + 0.372130i
\(88\) 2.40117 4.15895i 0.255966 0.443345i
\(89\) −0.424481 0.356182i −0.0449949 0.0377552i 0.620013 0.784592i \(-0.287127\pi\)
−0.665008 + 0.746836i \(0.731572\pi\)
\(90\) 6.67890 0.626356i 0.704018 0.0660237i
\(91\) −2.77747 7.63105i −0.291158 0.799951i
\(92\) −3.66122 + 3.07213i −0.381709 + 0.320292i
\(93\) 1.27223 + 16.7192i 0.131924 + 1.73371i
\(94\) 1.12420i 0.115952i
\(95\) −1.56374 + 9.62054i −0.160436 + 0.987046i
\(96\) 1.72364 + 0.170478i 0.175918 + 0.0173994i
\(97\) −3.40129 19.2897i −0.345349 1.95857i −0.276825 0.960920i \(-0.589282\pi\)
−0.0685236 0.997649i \(-0.521829\pi\)
\(98\) 3.20664 + 3.82152i 0.323919 + 0.386032i
\(99\) −2.17995 14.2411i −0.219093 1.43129i
\(100\) −2.98747 + 4.00936i −0.298747 + 0.400936i
\(101\) 4.90930 5.85068i 0.488494 0.582164i −0.464340 0.885657i \(-0.653708\pi\)
0.952834 + 0.303493i \(0.0981529\pi\)
\(102\) 5.05198 7.04391i 0.500220 0.697452i
\(103\) −7.05809 12.2250i −0.695454 1.20456i −0.970027 0.242996i \(-0.921870\pi\)
0.274573 0.961566i \(-0.411463\pi\)
\(104\) 5.63904 + 0.994315i 0.552953 + 0.0975006i
\(105\) 5.12772 1.96898i 0.500414 0.192152i
\(106\) 0.0879374 + 0.152312i 0.00854124 + 0.0147939i
\(107\) −2.82207 1.62932i −0.272820 0.157513i 0.357348 0.933971i \(-0.383681\pi\)
−0.630168 + 0.776458i \(0.717014\pi\)
\(108\) 4.35517 2.83417i 0.419076 0.272718i
\(109\) −5.47763 + 15.0497i −0.524662 + 1.44150i 0.340615 + 0.940203i \(0.389365\pi\)
−0.865277 + 0.501294i \(0.832858\pi\)
\(110\) 8.97053 + 5.90270i 0.855306 + 0.562801i
\(111\) 6.18006 + 9.04217i 0.586585 + 0.858245i
\(112\) 1.39668 0.246272i 0.131974 0.0232705i
\(113\) 6.20361i 0.583587i 0.956481 + 0.291793i \(0.0942519\pi\)
−0.956481 + 0.291793i \(0.905748\pi\)
\(114\) 2.39117 + 7.16117i 0.223954 + 0.670705i
\(115\) −6.38006 8.57366i −0.594944 0.799498i
\(116\) −0.843948 4.78627i −0.0783586 0.444394i
\(117\) 15.0673 8.25010i 1.39297 0.762722i
\(118\) −1.37358 3.77389i −0.126449 0.347415i
\(119\) 2.42755 6.66965i 0.222533 0.611406i
\(120\) −0.605459 + 3.82537i −0.0552706 + 0.349206i
\(121\) 6.03123 10.4464i 0.548294 0.949673i
\(122\) −0.616465 + 0.355916i −0.0558121 + 0.0322231i
\(123\) 7.87713 + 2.20653i 0.710257 + 0.198956i
\(124\) −9.53370 1.68105i −0.856151 0.150963i
\(125\) −8.56012 7.19197i −0.765640 0.643269i
\(126\) 2.80792 3.19652i 0.250150 0.284769i
\(127\) 3.40159 + 2.85428i 0.301843 + 0.253276i 0.781111 0.624393i \(-0.214653\pi\)
−0.479268 + 0.877669i \(0.659098\pi\)
\(128\) −0.342020 + 0.939693i −0.0302306 + 0.0830579i
\(129\) 15.1664 3.88038i 1.33533 0.341649i
\(130\) −2.95537 + 12.4581i −0.259203 + 1.09264i
\(131\) −8.85370 + 1.56115i −0.773551 + 0.136398i −0.546471 0.837478i \(-0.684029\pi\)
−0.227080 + 0.973876i \(0.572918\pi\)
\(132\) 8.27751 + 0.818695i 0.720465 + 0.0712583i
\(133\) 3.46698 + 5.11818i 0.300625 + 0.443803i
\(134\) 11.9501i 1.03234i
\(135\) 5.75831 + 10.0917i 0.495596 + 0.868553i
\(136\) 3.21692 + 3.83378i 0.275849 + 0.328744i
\(137\) 4.36619 1.58916i 0.373029 0.135771i −0.148701 0.988882i \(-0.547509\pi\)
0.521730 + 0.853111i \(0.325287\pi\)
\(138\) −7.46247 3.58319i −0.635247 0.305021i
\(139\) 1.93418 + 1.62297i 0.164055 + 0.137658i 0.721119 0.692811i \(-0.243628\pi\)
−0.557064 + 0.830469i \(0.688072\pi\)
\(140\) 0.367498 + 3.14988i 0.0310593 + 0.266213i
\(141\) 1.77393 0.802882i 0.149392 0.0676148i
\(142\) −11.6854 2.06044i −0.980614 0.172909i
\(143\) 27.0806 + 4.77504i 2.26459 + 0.399309i
\(144\) 0.961985 + 2.84158i 0.0801654 + 0.236798i
\(145\) 10.7943 1.25938i 0.896418 0.104586i
\(146\) −0.591909 0.496670i −0.0489867 0.0411047i
\(147\) −3.74007 + 7.78920i −0.308476 + 0.642442i
\(148\) −5.94200 + 2.16271i −0.488429 + 0.177774i
\(149\) 7.24242 + 8.63118i 0.593322 + 0.707094i 0.976241 0.216688i \(-0.0695255\pi\)
−0.382919 + 0.923782i \(0.625081\pi\)
\(150\) −8.46020 1.85069i −0.690772 0.151108i
\(151\) 19.6099i 1.59583i −0.602772 0.797914i \(-0.705937\pi\)
0.602772 0.797914i \(-0.294063\pi\)
\(152\) −4.34767 + 0.312645i −0.352643 + 0.0253589i
\(153\) 14.7230 + 2.94116i 1.19029 + 0.237779i
\(154\) 6.70732 1.18268i 0.540491 0.0953031i
\(155\) 4.99652 21.0623i 0.401330 1.69177i
\(156\) 2.45831 + 9.60828i 0.196823 + 0.769278i
\(157\) −5.00142 + 13.7413i −0.399157 + 1.09667i 0.563539 + 0.826089i \(0.309439\pi\)
−0.962696 + 0.270585i \(0.912783\pi\)
\(158\) −8.03691 6.74377i −0.639382 0.536505i
\(159\) −0.177538 + 0.247540i −0.0140797 + 0.0196312i
\(160\) −2.05301 0.886092i −0.162305 0.0700517i
\(161\) −6.67526 1.17703i −0.526084 0.0927628i
\(162\) 7.58257 + 4.84816i 0.595743 + 0.380907i
\(163\) −1.16357 + 0.671789i −0.0911381 + 0.0526186i −0.544876 0.838516i \(-0.683423\pi\)
0.453738 + 0.891135i \(0.350090\pi\)
\(164\) −2.36146 + 4.09017i −0.184399 + 0.319389i
\(165\) −2.90762 + 18.3707i −0.226358 + 1.43016i
\(166\) 0.728442 2.00138i 0.0565381 0.155337i
\(167\) 0.645971 + 1.77479i 0.0499867 + 0.137337i 0.962174 0.272437i \(-0.0878296\pi\)
−0.912187 + 0.409774i \(0.865607\pi\)
\(168\) 1.38609 + 2.02801i 0.106939 + 0.156464i
\(169\) 3.43605 + 19.4868i 0.264312 + 1.49899i
\(170\) −8.97773 + 6.68075i −0.688560 + 0.512390i
\(171\) −9.59227 + 8.88754i −0.733539 + 0.679647i
\(172\) 9.03839i 0.689170i
\(173\) 4.05906 0.715722i 0.308605 0.0544153i −0.0172012 0.999852i \(-0.505476\pi\)
0.325806 + 0.945437i \(0.394364\pi\)
\(174\) 6.94978 4.74998i 0.526862 0.360095i
\(175\) −7.07929 + 0.409344i −0.535144 + 0.0309435i
\(176\) −1.64250 + 4.51272i −0.123808 + 0.340159i
\(177\) 4.97405 4.86270i 0.373872 0.365503i
\(178\) 0.479883 + 0.277060i 0.0359687 + 0.0207666i
\(179\) −6.18641 10.7152i −0.462394 0.800890i 0.536686 0.843782i \(-0.319676\pi\)
−0.999080 + 0.0428923i \(0.986343\pi\)
\(180\) −6.46866 + 1.77662i −0.482146 + 0.132421i
\(181\) 8.94578 + 1.57738i 0.664935 + 0.117246i 0.495921 0.868368i \(-0.334831\pi\)
0.169014 + 0.985614i \(0.445942\pi\)
\(182\) 4.06039 + 7.03281i 0.300976 + 0.521306i
\(183\) −1.00189 0.718565i −0.0740617 0.0531179i
\(184\) 3.07213 3.66122i 0.226481 0.269909i
\(185\) −4.05239 13.5463i −0.297938 0.995941i
\(186\) −4.15617 16.2443i −0.304745 1.19109i
\(187\) 15.4487 + 18.4111i 1.12972 + 1.34635i
\(188\) 0.195215 + 1.10712i 0.0142375 + 0.0807450i
\(189\) 7.04934 + 2.14788i 0.512764 + 0.156235i
\(190\) −0.130604 9.74592i −0.00947502 0.707043i
\(191\) 22.4414i 1.62380i −0.583795 0.811901i \(-0.698433\pi\)
0.583795 0.811901i \(-0.301567\pi\)
\(192\) −1.72706 + 0.131419i −0.124640 + 0.00948432i
\(193\) 7.75600 6.50806i 0.558289 0.468460i −0.319447 0.947604i \(-0.603497\pi\)
0.877736 + 0.479144i \(0.159053\pi\)
\(194\) 6.69923 + 18.4060i 0.480977 + 1.32147i
\(195\) −21.7689 + 4.23387i −1.55891 + 0.303194i
\(196\) −3.82152 3.20664i −0.272966 0.229046i
\(197\) −0.395106 + 0.684343i −0.0281501 + 0.0487574i −0.879757 0.475423i \(-0.842295\pi\)
0.851607 + 0.524181i \(0.175628\pi\)
\(198\) 4.61978 + 13.6462i 0.328313 + 0.969796i
\(199\) −2.50621 + 14.2134i −0.177661 + 1.00756i 0.757367 + 0.652989i \(0.226485\pi\)
−0.935028 + 0.354575i \(0.884626\pi\)
\(200\) 2.24587 4.46722i 0.158807 0.315880i
\(201\) 18.8568 8.53458i 1.33006 0.601983i
\(202\) −3.81876 + 6.61428i −0.268687 + 0.465379i
\(203\) 4.43055 5.28012i 0.310963 0.370592i
\(204\) −3.75206 + 7.81417i −0.262697 + 0.547101i
\(205\) −8.82218 5.80509i −0.616168 0.405445i
\(206\) 9.07370 + 10.8136i 0.632195 + 0.753420i
\(207\) 0.324557 14.3345i 0.0225583 0.996316i
\(208\) −5.72603 −0.397029
\(209\) −20.8790 + 1.50143i −1.44423 + 0.103856i
\(210\) −4.70790 + 2.82948i −0.324876 + 0.195253i
\(211\) −12.2236 + 2.15536i −0.841510 + 0.148381i −0.577756 0.816209i \(-0.696072\pi\)
−0.263753 + 0.964590i \(0.584961\pi\)
\(212\) −0.113050 0.134728i −0.00776432 0.00925315i
\(213\) −5.09418 19.9105i −0.349048 1.36425i
\(214\) 3.06213 + 1.11452i 0.209323 + 0.0761872i
\(215\) −20.1760 1.17936i −1.37599 0.0804318i
\(216\) −3.79686 + 3.54738i −0.258343 + 0.241368i
\(217\) −6.86474 11.8901i −0.466009 0.807151i
\(218\) 2.78107 15.7722i 0.188358 1.06823i
\(219\) 0.360994 1.28872i 0.0243937 0.0870836i
\(220\) −9.85924 4.25531i −0.664710 0.286893i
\(221\) −14.3284 + 24.8174i −0.963830 + 1.66940i
\(222\) −7.65633 7.83164i −0.513859 0.525625i
\(223\) 18.9999 + 6.91541i 1.27233 + 0.463090i 0.887888 0.460059i \(-0.152172\pi\)
0.384442 + 0.923149i \(0.374394\pi\)
\(224\) −1.33269 + 0.485061i −0.0890443 + 0.0324095i
\(225\) −3.12182 14.6715i −0.208121 0.978103i
\(226\) −1.07725 6.10936i −0.0716573 0.406389i
\(227\) 26.6214i 1.76692i 0.468502 + 0.883462i \(0.344794\pi\)
−0.468502 + 0.883462i \(0.655206\pi\)
\(228\) −3.59837 6.63715i −0.238308 0.439556i
\(229\) 20.0431 1.32448 0.662241 0.749291i \(-0.269605\pi\)
0.662241 + 0.749291i \(0.269605\pi\)
\(230\) 7.77193 + 7.33552i 0.512466 + 0.483690i
\(231\) 6.65646 + 9.73920i 0.437963 + 0.640792i
\(232\) 1.66225 + 4.56700i 0.109132 + 0.299838i
\(233\) −2.34476 0.853421i −0.153610 0.0559095i 0.264071 0.964503i \(-0.414935\pi\)
−0.417681 + 0.908594i \(0.637157\pi\)
\(234\) −13.4058 + 10.7412i −0.876362 + 0.702172i
\(235\) −2.49685 + 0.291309i −0.162876 + 0.0190029i
\(236\) 2.00805 + 3.47804i 0.130713 + 0.226401i
\(237\) 4.90155 17.4982i 0.318390 1.13663i
\(238\) −1.23250 + 6.98986i −0.0798912 + 0.453085i
\(239\) −12.5280 + 7.23302i −0.810367 + 0.467865i −0.847083 0.531460i \(-0.821643\pi\)
0.0367166 + 0.999326i \(0.488310\pi\)
\(240\) −0.0680073 3.87239i −0.00438985 0.249961i
\(241\) 8.99940 10.7251i 0.579702 0.690862i −0.393890 0.919158i \(-0.628871\pi\)
0.973592 + 0.228295i \(0.0733152\pi\)
\(242\) −4.12561 + 11.3350i −0.265204 + 0.728642i
\(243\) −2.23484 + 15.4274i −0.143365 + 0.989670i
\(244\) 0.545295 0.457557i 0.0349089 0.0292921i
\(245\) 7.65669 8.11221i 0.489168 0.518270i
\(246\) −8.14062 0.805156i −0.519027 0.0513349i
\(247\) −10.1968 22.7813i −0.648808 1.44954i
\(248\) 9.68077 0.614729
\(249\) 3.67833 0.279898i 0.233104 0.0177378i
\(250\) 9.67894 + 5.59626i 0.612150 + 0.353938i
\(251\) −8.28066 22.7509i −0.522670 1.43602i −0.867537 0.497373i \(-0.834298\pi\)
0.344866 0.938652i \(-0.387924\pi\)
\(252\) −2.21019 + 3.63555i −0.139229 + 0.229018i
\(253\) 14.7534 17.5824i 0.927540 1.10540i
\(254\) −3.84556 2.22023i −0.241292 0.139310i
\(255\) −16.9537 9.39519i −1.06168 0.588350i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −22.8296 4.02548i −1.42407 0.251102i −0.592075 0.805883i \(-0.701691\pi\)
−0.831997 + 0.554780i \(0.812802\pi\)
\(258\) −14.2622 + 6.45505i −0.887924 + 0.401874i
\(259\) −7.76643 4.48395i −0.482583 0.278619i
\(260\) 0.747154 12.7820i 0.0463365 0.792705i
\(261\) 12.4587 + 7.57411i 0.771172 + 0.468825i
\(262\) 8.44810 3.07486i 0.521925 0.189965i
\(263\) −3.44475 + 2.89049i −0.212412 + 0.178235i −0.742786 0.669529i \(-0.766496\pi\)
0.530374 + 0.847764i \(0.322052\pi\)
\(264\) −8.29392 + 0.631117i −0.510455 + 0.0388426i
\(265\) 0.315499 0.234777i 0.0193809 0.0144223i
\(266\) −4.30307 4.43839i −0.263838 0.272135i
\(267\) −0.0944657 + 0.955105i −0.00578120 + 0.0584515i
\(268\) 2.07512 + 11.7686i 0.126758 + 0.718881i
\(269\) −2.33247 + 1.95718i −0.142213 + 0.119331i −0.711119 0.703072i \(-0.751811\pi\)
0.568906 + 0.822403i \(0.307367\pi\)
\(270\) −7.42323 8.93844i −0.451763 0.543976i
\(271\) 9.53733 + 3.47130i 0.579351 + 0.210867i 0.615040 0.788496i \(-0.289140\pi\)
−0.0356881 + 0.999363i \(0.511362\pi\)
\(272\) −3.83378 3.21692i −0.232457 0.195054i
\(273\) −8.19760 + 11.4298i −0.496141 + 0.691765i
\(274\) −4.02390 + 2.32320i −0.243093 + 0.140350i
\(275\) 10.7854 21.4531i 0.650386 1.29367i
\(276\) 7.97131 + 2.23291i 0.479816 + 0.134405i
\(277\) 3.83354 2.21329i 0.230335 0.132984i −0.380392 0.924825i \(-0.624211\pi\)
0.610727 + 0.791842i \(0.290877\pi\)
\(278\) −2.18662 1.26244i −0.131145 0.0757164i
\(279\) 22.6646 18.1597i 1.35689 1.08719i
\(280\) −0.908886 3.03821i −0.0543163 0.181568i
\(281\) −28.9911 + 10.5519i −1.72946 + 0.629472i −0.998592 0.0530452i \(-0.983107\pi\)
−0.730869 + 0.682518i \(0.760885\pi\)
\(282\) −1.60757 + 1.09872i −0.0957292 + 0.0654281i
\(283\) −11.7937 + 2.07954i −0.701060 + 0.123616i −0.512806 0.858505i \(-0.671394\pi\)
−0.188254 + 0.982120i \(0.560283\pi\)
\(284\) 11.8656 0.704095
\(285\) 15.2854 7.16644i 0.905426 0.424504i
\(286\) −27.4984 −1.62601
\(287\) −6.59639 + 1.16312i −0.389373 + 0.0686569i
\(288\) −1.44081 2.63136i −0.0849003 0.155055i
\(289\) −7.56114 + 2.75203i −0.444773 + 0.161884i
\(290\) −10.4116 + 3.11466i −0.611391 + 0.182899i
\(291\) −24.2594 + 23.7163i −1.42211 + 1.39028i
\(292\) 0.669162 + 0.386341i 0.0391598 + 0.0226089i
\(293\) −1.00629 + 0.580979i −0.0587878 + 0.0339412i −0.529106 0.848556i \(-0.677473\pi\)
0.470318 + 0.882497i \(0.344139\pi\)
\(294\) 2.33067 8.32032i 0.135928 0.485251i
\(295\) −8.02589 + 4.02865i −0.467286 + 0.234557i
\(296\) 5.47617 3.16167i 0.318296 0.183768i
\(297\) −18.2338 + 17.0357i −1.05803 + 0.988512i
\(298\) −8.63118 7.24242i −0.499991 0.419542i
\(299\) 25.7165 + 9.36004i 1.48722 + 0.541305i
\(300\) 8.65304 + 0.353474i 0.499583 + 0.0204078i
\(301\) −9.81950 + 8.23954i −0.565986 + 0.474919i
\(302\) 3.40521 + 19.3119i 0.195948 + 1.11128i
\(303\) −13.1643 1.30203i −0.756271 0.0747998i
\(304\) 4.22733 1.06286i 0.242454 0.0609592i
\(305\) 0.950233 + 1.27694i 0.0544102 + 0.0731175i
\(306\) −15.0101 0.339853i −0.858068 0.0194281i
\(307\) 6.69443 5.61729i 0.382071 0.320596i −0.431444 0.902140i \(-0.641996\pi\)
0.813515 + 0.581544i \(0.197551\pi\)
\(308\) −6.40005 + 2.32943i −0.364676 + 0.132731i
\(309\) −10.5831 + 22.0408i −0.602054 + 1.25386i
\(310\) −1.26318 + 21.6100i −0.0717439 + 1.22736i
\(311\) 15.1358 + 8.73866i 0.858273 + 0.495524i 0.863433 0.504463i \(-0.168309\pi\)
−0.00516087 + 0.999987i \(0.501643\pi\)
\(312\) −4.08943 9.03543i −0.231518 0.511530i
\(313\) −10.9107 1.92385i −0.616709 0.108742i −0.143438 0.989659i \(-0.545816\pi\)
−0.473271 + 0.880917i \(0.656927\pi\)
\(314\) 2.53929 14.4010i 0.143300 0.812696i
\(315\) −7.82709 5.40810i −0.441007 0.304712i
\(316\) 9.08585 + 5.24572i 0.511119 + 0.295095i
\(317\) −6.37530 + 7.59779i −0.358073 + 0.426734i −0.914766 0.403984i \(-0.867625\pi\)
0.556694 + 0.830718i \(0.312070\pi\)
\(318\) 0.131856 0.274608i 0.00739414 0.0153993i
\(319\) 7.98270 + 21.9323i 0.446946 + 1.22797i
\(320\) 2.17569 + 0.516129i 0.121625 + 0.0288525i
\(321\) 0.428247 + 5.62787i 0.0239024 + 0.314117i
\(322\) 6.77824 0.377736
\(323\) 5.97154 20.9815i 0.332265 1.16744i
\(324\) −8.30925 3.45780i −0.461625 0.192100i
\(325\) 28.4352 + 3.33568i 1.57730 + 0.185030i
\(326\) 1.02924 0.863636i 0.0570044 0.0478324i
\(327\) 26.8740 6.87582i 1.48614 0.380234i
\(328\) 1.61533 4.43810i 0.0891919 0.245053i
\(329\) −1.02484 + 1.22135i −0.0565011 + 0.0673354i
\(330\) −0.326594 18.5965i −0.0179784 1.02370i
\(331\) −1.54553 + 0.892314i −0.0849502 + 0.0490460i −0.541873 0.840460i \(-0.682285\pi\)
0.456923 + 0.889506i \(0.348951\pi\)
\(332\) −0.369840 + 2.09747i −0.0202976 + 0.115113i
\(333\) 6.88998 17.6746i 0.377568 0.968560i
\(334\) −0.944346 1.63566i −0.0516723 0.0894991i
\(335\) −26.5413 + 3.09659i −1.45011 + 0.169185i
\(336\) −1.71719 1.75651i −0.0936804 0.0958255i
\(337\) 13.7974 + 5.02183i 0.751590 + 0.273557i 0.689275 0.724500i \(-0.257929\pi\)
0.0623155 + 0.998056i \(0.480151\pi\)
\(338\) −6.76771 18.5941i −0.368115 1.01139i
\(339\) 8.87096 6.06304i 0.481804 0.329299i
\(340\) 7.68124 8.13822i 0.416574 0.441357i
\(341\) 46.4903 2.51759
\(342\) 7.90324 10.4182i 0.427358 0.563352i
\(343\) 17.0026i 0.918052i
\(344\) −1.56950 8.90107i −0.0846217 0.479914i
\(345\) −6.02455 + 17.5027i −0.324351 + 0.942311i
\(346\) −3.87311 + 1.40970i −0.208220 + 0.0757857i
\(347\) 12.3781 + 4.50525i 0.664490 + 0.241855i 0.652174 0.758069i \(-0.273857\pi\)
0.0123165 + 0.999924i \(0.496079\pi\)
\(348\) −6.01938 + 5.88463i −0.322672 + 0.315449i
\(349\) −0.140899 + 0.244043i −0.00754213 + 0.0130633i −0.869772 0.493454i \(-0.835734\pi\)
0.862230 + 0.506517i \(0.169067\pi\)
\(350\) 6.90066 1.63243i 0.368856 0.0872571i
\(351\) −26.5232 13.4825i −1.41571 0.719645i
\(352\) 0.833918 4.72938i 0.0444480 0.252077i
\(353\) 2.12483 + 3.68032i 0.113093 + 0.195884i 0.917016 0.398850i \(-0.130591\pi\)
−0.803923 + 0.594734i \(0.797257\pi\)
\(354\) −4.05408 + 5.65256i −0.215472 + 0.300430i
\(355\) −1.54827 + 26.4871i −0.0821737 + 1.40579i
\(356\) −0.520703 0.189521i −0.0275972 0.0100446i
\(357\) −11.9099 + 3.04720i −0.630340 + 0.161275i
\(358\) 7.95310 + 9.47813i 0.420334 + 0.500935i
\(359\) 4.39502 0.774960i 0.231960 0.0409008i −0.0564597 0.998405i \(-0.517981\pi\)
0.288420 + 0.957504i \(0.406870\pi\)
\(360\) 6.06188 2.87290i 0.319489 0.151415i
\(361\) 11.7566 + 14.9259i 0.618768 + 0.785574i
\(362\) −9.08379 −0.477433
\(363\) −20.8326 + 1.58523i −1.09343 + 0.0832031i
\(364\) −5.21994 6.22088i −0.273599 0.326063i
\(365\) −0.949728 + 1.44333i −0.0497110 + 0.0755474i
\(366\) 1.11144 + 0.533673i 0.0580961 + 0.0278955i
\(367\) −3.08143 + 3.67231i −0.160850 + 0.191693i −0.840449 0.541890i \(-0.817709\pi\)
0.679600 + 0.733583i \(0.262153\pi\)
\(368\) −2.38969 + 4.13907i −0.124571 + 0.215764i
\(369\) −4.54338 13.4206i −0.236519 0.698647i
\(370\) 6.34311 + 12.6368i 0.329763 + 0.656955i
\(371\) 0.0433130 0.245640i 0.00224870 0.0127530i
\(372\) 6.91383 + 15.2758i 0.358465 + 0.792015i
\(373\) −7.49476 + 12.9813i −0.388064 + 0.672147i −0.992189 0.124743i \(-0.960189\pi\)
0.604125 + 0.796890i \(0.293523\pi\)
\(374\) −18.4111 15.4487i −0.952015 0.798835i
\(375\) −1.91812 + 19.2697i −0.0990515 + 0.995082i
\(376\) −0.384498 1.05640i −0.0198290 0.0544797i
\(377\) −21.3183 + 17.8882i −1.09795 + 0.921289i
\(378\) −7.31522 0.891144i −0.376254 0.0458355i
\(379\) 16.5268i 0.848924i −0.905446 0.424462i \(-0.860463\pi\)
0.905446 0.424462i \(-0.139537\pi\)
\(380\) 1.82098 + 9.57518i 0.0934144 + 0.491196i
\(381\) 0.757003 7.65377i 0.0387825 0.392114i
\(382\) 3.89691 + 22.1005i 0.199383 + 1.13076i
\(383\) 4.62139 + 5.50756i 0.236142 + 0.281423i 0.871081 0.491139i \(-0.163419\pi\)
−0.634939 + 0.772562i \(0.718975\pi\)
\(384\) 1.67800 0.429323i 0.0856301 0.0219088i
\(385\) −4.36478 14.5905i −0.222450 0.743601i
\(386\) −6.50806 + 7.75600i −0.331251 + 0.394770i
\(387\) −20.3716 17.8950i −1.03554 0.909654i
\(388\) −9.79363 16.9631i −0.497196 0.861169i
\(389\) −25.3831 4.47573i −1.28697 0.226928i −0.512036 0.858964i \(-0.671108\pi\)
−0.774939 + 0.632036i \(0.782219\pi\)
\(390\) 20.7030 7.94968i 1.04834 0.402548i
\(391\) 11.9596 + 20.7146i 0.604821 + 1.04758i
\(392\) 4.32029 + 2.49432i 0.218208 + 0.125982i
\(393\) 10.8855 + 11.1347i 0.549099 + 0.561672i
\(394\) 0.270268 0.742556i 0.0136159 0.0374094i
\(395\) −12.8954 + 19.5975i −0.648836 + 0.986056i
\(396\) −6.91924 12.6367i −0.347705 0.635018i
\(397\) 28.0894 4.95291i 1.40976 0.248580i 0.583615 0.812030i \(-0.301638\pi\)
0.826150 + 0.563451i \(0.190527\pi\)
\(398\) 14.4327i 0.723446i
\(399\) 3.93041 9.95987i 0.196767 0.498617i
\(400\) −1.43602 + 4.78935i −0.0718012 + 0.239467i
\(401\) 0.583919 + 3.31157i 0.0291595 + 0.165372i 0.995910 0.0903491i \(-0.0287983\pi\)
−0.966751 + 0.255721i \(0.917687\pi\)
\(402\) −17.0883 + 11.6794i −0.852288 + 0.582514i
\(403\) 18.9590 + 52.0894i 0.944415 + 2.59476i
\(404\) 2.61218 7.17692i 0.129961 0.357065i
\(405\) 8.80293 18.0972i 0.437421 0.899257i
\(406\) −3.44635 + 5.96926i −0.171040 + 0.296249i
\(407\) 26.2984 15.1834i 1.30357 0.752614i
\(408\) 2.33814 8.34699i 0.115755 0.413238i
\(409\) −35.2334 6.21261i −1.74218 0.307194i −0.790087 0.612995i \(-0.789964\pi\)
−0.952095 + 0.305802i \(0.901076\pi\)
\(410\) 9.69620 + 4.18494i 0.478861 + 0.206680i
\(411\) −6.53971 4.69035i −0.322580 0.231358i
\(412\) −10.8136 9.07370i −0.532749 0.447029i
\(413\) −1.94805 + 5.35222i −0.0958572 + 0.263366i
\(414\) 2.16953 + 14.1731i 0.106627 + 0.696569i
\(415\) −4.63383 1.09926i −0.227466 0.0539607i
\(416\) 5.63904 0.994315i 0.276477 0.0487503i
\(417\) 0.430439 4.35200i 0.0210787 0.213118i
\(418\) 20.3011 5.10422i 0.992958 0.249655i
\(419\) 0.791705i 0.0386773i 0.999813 + 0.0193387i \(0.00615607\pi\)
−0.999813 + 0.0193387i \(0.993844\pi\)
\(420\) 4.14505 3.60401i 0.202258 0.175858i
\(421\) 12.1149 + 14.4380i 0.590445 + 0.703665i 0.975692 0.219148i \(-0.0703279\pi\)
−0.385246 + 0.922814i \(0.625883\pi\)
\(422\) 11.6637 4.24522i 0.567778 0.206654i
\(423\) −2.88183 1.75198i −0.140120 0.0851841i
\(424\) 0.134728 + 0.113050i 0.00654297 + 0.00549020i
\(425\) 17.1643 + 18.2084i 0.832592 + 0.883237i
\(426\) 8.47421 + 18.7234i 0.410577 + 0.907153i
\(427\) 0.994199 + 0.175304i 0.0481127 + 0.00848356i
\(428\) −3.20914 0.565858i −0.155120 0.0273518i
\(429\) −19.6388 43.3912i −0.948171 2.09495i
\(430\) 20.0743 2.34208i 0.968068 0.112945i
\(431\) 7.47680 + 6.27378i 0.360145 + 0.302197i 0.804848 0.593480i \(-0.202247\pi\)
−0.444704 + 0.895678i \(0.646691\pi\)
\(432\) 3.12318 4.15280i 0.150264 0.199802i
\(433\) 17.3942 6.33098i 0.835913 0.304247i 0.111629 0.993750i \(-0.464393\pi\)
0.724283 + 0.689503i \(0.242171\pi\)
\(434\) 8.82514 + 10.5174i 0.423620 + 0.504851i
\(435\) −12.3506 14.2046i −0.592165 0.681061i
\(436\) 16.0155i 0.767004i
\(437\) −20.7230 2.13672i −0.991316 0.102213i
\(438\) −0.131726 + 1.33183i −0.00629409 + 0.0636371i
\(439\) −17.0425 + 3.00505i −0.813394 + 0.143423i −0.564846 0.825196i \(-0.691065\pi\)
−0.248548 + 0.968620i \(0.579953\pi\)
\(440\) 10.4484 + 2.47863i 0.498107 + 0.118164i
\(441\) 14.7936 2.26452i 0.704458 0.107834i
\(442\) 9.80118 26.9285i 0.466194 1.28086i
\(443\) 5.68509 + 4.77036i 0.270107 + 0.226647i 0.767773 0.640722i \(-0.221365\pi\)
−0.497666 + 0.867369i \(0.665809\pi\)
\(444\) 8.89996 + 6.38315i 0.422373 + 0.302931i
\(445\) 0.491002 1.13761i 0.0232757 0.0539281i
\(446\) −19.9121 3.51105i −0.942867 0.166253i
\(447\) 5.26399 18.7920i 0.248978 0.888832i
\(448\) 1.22822 0.709111i 0.0580278 0.0335024i
\(449\) −3.42022 + 5.92399i −0.161410 + 0.279570i −0.935375 0.353658i \(-0.884938\pi\)
0.773965 + 0.633229i \(0.218271\pi\)
\(450\) 5.62208 + 13.9066i 0.265027 + 0.655561i
\(451\) 7.75739 21.3132i 0.365281 1.00360i
\(452\) 2.12176 + 5.82949i 0.0997992 + 0.274196i
\(453\) −28.0414 + 19.1655i −1.31750 + 0.900474i
\(454\) −4.62276 26.2170i −0.216957 1.23042i
\(455\) 14.5677 10.8405i 0.682946 0.508212i
\(456\) 4.69623 + 5.91147i 0.219921 + 0.276830i
\(457\) 1.24574i 0.0582734i 0.999575 + 0.0291367i \(0.00927581\pi\)
−0.999575 + 0.0291367i \(0.990724\pi\)
\(458\) −19.7386 + 3.48044i −0.922322 + 0.162630i
\(459\) −10.1836 23.9279i −0.475332 1.11686i
\(460\) −8.92766 5.87449i −0.416254 0.273900i
\(461\) 4.17855 11.4805i 0.194614 0.534699i −0.803552 0.595235i \(-0.797059\pi\)
0.998166 + 0.0605363i \(0.0192811\pi\)
\(462\) −8.24653 8.43536i −0.383663 0.392448i
\(463\) 5.36979 + 3.10025i 0.249555 + 0.144081i 0.619561 0.784949i \(-0.287311\pi\)
−0.370005 + 0.929030i \(0.620644\pi\)
\(464\) −2.43005 4.20897i −0.112812 0.195397i
\(465\) −35.0017 + 13.4402i −1.62317 + 0.623274i
\(466\) 2.45733 + 0.433293i 0.113834 + 0.0200719i
\(467\) 15.7559 + 27.2901i 0.729097 + 1.26283i 0.957265 + 0.289212i \(0.0933933\pi\)
−0.228168 + 0.973622i \(0.573273\pi\)
\(468\) 11.3369 12.9059i 0.524049 0.596574i
\(469\) −10.8939 + 12.9829i −0.503036 + 0.599494i
\(470\) 2.40833 0.720456i 0.111088 0.0332322i
\(471\) 24.5377 6.27806i 1.13064 0.289278i
\(472\) −2.58149 3.07651i −0.118823 0.141608i
\(473\) −7.53727 42.7460i −0.346564 1.96546i
\(474\) −1.78856 + 18.0835i −0.0821515 + 0.830601i
\(475\) −21.6119 + 2.81549i −0.991621 + 0.129184i
\(476\) 7.09769i 0.325322i
\(477\) 0.527489 + 0.0119432i 0.0241521 + 0.000546844i
\(478\) 11.0816 9.29859i 0.506862 0.425308i
\(479\) −1.99506 5.48139i −0.0911568 0.250451i 0.885733 0.464195i \(-0.153656\pi\)
−0.976890 + 0.213744i \(0.931434\pi\)
\(480\) 0.739407 + 3.80175i 0.0337492 + 0.173525i
\(481\) 27.7367 + 23.2738i 1.26468 + 1.06120i
\(482\) −7.00029 + 12.1249i −0.318855 + 0.552272i
\(483\) 4.84089 + 10.6958i 0.220268 + 0.486674i
\(484\) 2.09463 11.8792i 0.0952102 0.539964i
\(485\) 39.1438 19.6485i 1.77743 0.892192i
\(486\) −0.478053 15.5811i −0.0216849 0.706774i
\(487\) 2.75503 4.77186i 0.124842 0.216234i −0.796829 0.604205i \(-0.793491\pi\)
0.921671 + 0.387972i \(0.126824\pi\)
\(488\) −0.457557 + 0.545295i −0.0207126 + 0.0246844i
\(489\) 2.09784 + 1.00730i 0.0948678 + 0.0455519i
\(490\) −6.13170 + 9.31854i −0.277002 + 0.420969i
\(491\) 11.0236 + 13.1374i 0.497489 + 0.592885i 0.955106 0.296265i \(-0.0957412\pi\)
−0.457617 + 0.889150i \(0.651297\pi\)
\(492\) 8.15676 0.620680i 0.367735 0.0279824i
\(493\) −24.3231 −1.09546
\(494\) 13.9978 + 20.6645i 0.629792 + 0.929741i
\(495\) 29.1112 13.7966i 1.30845 0.620113i
\(496\) −9.53370 + 1.68105i −0.428076 + 0.0754813i
\(497\) 10.8169 + 12.8911i 0.485204 + 0.578244i
\(498\) −3.57384 + 0.914381i −0.160148 + 0.0409744i
\(499\) −24.7622 9.01269i −1.10851 0.403463i −0.278061 0.960563i \(-0.589692\pi\)
−0.830445 + 0.557100i \(0.811914\pi\)
\(500\) −10.5037 3.83051i −0.469739 0.171305i
\(501\) 1.90656 2.65829i 0.0851787 0.118764i
\(502\) 12.1055 + 20.9674i 0.540295 + 0.935819i
\(503\) −6.28854 + 35.6641i −0.280392 + 1.59018i 0.440903 + 0.897555i \(0.354658\pi\)
−0.721295 + 0.692628i \(0.756453\pi\)
\(504\) 1.54531 3.96412i 0.0688335 0.176576i
\(505\) 15.6799 + 6.76754i 0.697746 + 0.301152i
\(506\) −11.4761 + 19.8772i −0.510176 + 0.883651i
\(507\) 24.5073 23.9587i 1.08841 1.06404i
\(508\) 4.17267 + 1.51873i 0.185132 + 0.0673827i
\(509\) 18.8278 6.85277i 0.834529 0.303744i 0.110813 0.993841i \(-0.464655\pi\)
0.723716 + 0.690098i \(0.242432\pi\)
\(510\) 18.3275 + 6.30849i 0.811557 + 0.279345i
\(511\) 0.190290 + 1.07919i 0.00841792 + 0.0477404i
\(512\) 1.00000i 0.0441942i
\(513\) 22.0838 + 5.03048i 0.975024 + 0.222101i
\(514\) 23.1818 1.02251
\(515\) 21.6658 22.9548i 0.954711 1.01151i
\(516\) 12.9246 8.83358i 0.568973 0.388877i
\(517\) −1.84649 5.07319i −0.0812086 0.223119i
\(518\) 8.42707 + 3.06720i 0.370264 + 0.134765i
\(519\) −4.99054 5.10482i −0.219060 0.224077i
\(520\) 1.48376 + 12.7175i 0.0650674 + 0.557701i
\(521\) −14.2673 24.7117i −0.625061 1.08264i −0.988529 0.151031i \(-0.951741\pi\)
0.363468 0.931607i \(-0.381593\pi\)
\(522\) −13.5846 5.29561i −0.594582 0.231783i
\(523\) 1.42189 8.06393i 0.0621748 0.352611i −0.937810 0.347148i \(-0.887150\pi\)
0.999985 0.00546262i \(-0.00173881\pi\)
\(524\) −7.78581 + 4.49514i −0.340125 + 0.196371i
\(525\) 7.50422 + 9.72308i 0.327511 + 0.424350i
\(526\) 2.89049 3.44475i 0.126031 0.150198i
\(527\) −16.5704 + 45.5269i −0.721820 + 1.98318i
\(528\) 8.05832 2.06175i 0.350694 0.0897263i
\(529\) −0.120610 + 0.101204i −0.00524392 + 0.00440017i
\(530\) −0.269937 + 0.285996i −0.0117253 + 0.0124229i
\(531\) −11.8148 2.36021i −0.512720 0.102424i
\(532\) 5.00842 + 3.62374i 0.217142 + 0.157109i
\(533\) 27.0436 1.17139
\(534\) −0.0728218 0.956999i −0.00315131 0.0414134i
\(535\) 1.68188 7.08980i 0.0727141 0.306519i
\(536\) −4.08719 11.2295i −0.176540 0.485039i
\(537\) −9.27612 + 19.3187i −0.400294 + 0.833665i
\(538\) 1.95718 2.33247i 0.0843798 0.100560i
\(539\) 20.7475 + 11.9786i 0.893659 + 0.515954i
\(540\) 8.86260 + 7.51361i 0.381385 + 0.323334i
\(541\) 0.949568 5.38527i 0.0408251 0.231531i −0.957567 0.288210i \(-0.906940\pi\)
0.998392 + 0.0566788i \(0.0180511\pi\)
\(542\) −9.99522 1.76243i −0.429331 0.0757027i
\(543\) −6.48747 14.3338i −0.278404 0.615123i
\(544\) 4.33414 + 2.50232i 0.185825 + 0.107286i
\(545\) −35.7508 2.08976i −1.53139 0.0895157i
\(546\) 6.08829 12.6797i 0.260555 0.542640i
\(547\) −17.2181 + 6.26689i −0.736194 + 0.267953i −0.682784 0.730620i \(-0.739231\pi\)
−0.0534097 + 0.998573i \(0.517009\pi\)
\(548\) 3.55935 2.98665i 0.152048 0.127583i
\(549\) −0.0483388 + 2.13495i −0.00206305 + 0.0911174i
\(550\) −6.89628 + 23.0001i −0.294058 + 0.980726i
\(551\) 12.4182 17.1633i 0.529033 0.731182i
\(552\) −8.23795 0.814783i −0.350630 0.0346794i
\(553\) 2.58375 + 14.6531i 0.109872 + 0.623115i
\(554\) −3.39096 + 2.84536i −0.144068 + 0.120888i
\(555\) −15.4101 + 19.0341i −0.654124 + 0.807953i
\(556\) 2.37262 + 0.863563i 0.100622 + 0.0366232i
\(557\) −10.2164 8.57260i −0.432884 0.363233i 0.400155 0.916448i \(-0.368956\pi\)
−0.833039 + 0.553215i \(0.813401\pi\)
\(558\) −19.1668 + 21.8194i −0.811397 + 0.923690i
\(559\) 44.8204 25.8770i 1.89570 1.09448i
\(560\) 1.42266 + 2.83422i 0.0601182 + 0.119768i
\(561\) 11.2286 40.0851i 0.474070 1.69239i
\(562\) 26.7183 15.4258i 1.12704 0.650699i
\(563\) −32.8298 18.9543i −1.38361 0.798829i −0.391027 0.920379i \(-0.627880\pi\)
−0.992585 + 0.121550i \(0.961214\pi\)
\(564\) 1.39235 1.36118i 0.0586286 0.0573162i
\(565\) −13.2898 + 3.97566i −0.559105 + 0.167257i
\(566\) 11.2534 4.09589i 0.473015 0.172163i
\(567\) −3.81821 12.1795i −0.160350 0.511492i
\(568\) −11.6854 + 2.06044i −0.490307 + 0.0864543i
\(569\) 17.7730 0.745083 0.372542 0.928016i \(-0.378486\pi\)
0.372542 + 0.928016i \(0.378486\pi\)
\(570\) −13.8087 + 9.71184i −0.578383 + 0.406784i
\(571\) −4.65101 −0.194639 −0.0973193 0.995253i \(-0.531027\pi\)
−0.0973193 + 0.995253i \(0.531027\pi\)
\(572\) 27.0806 4.77504i 1.13230 0.199654i
\(573\) −32.0905 + 21.9329i −1.34060 + 0.916260i
\(574\) 6.29421 2.29090i 0.262715 0.0956205i
\(575\) 14.2783 19.1623i 0.595446 0.799123i
\(576\) 1.87585 + 2.34119i 0.0781604 + 0.0975498i
\(577\) −3.11745 1.79986i −0.129781 0.0749292i 0.433704 0.901055i \(-0.357206\pi\)
−0.563485 + 0.826126i \(0.690540\pi\)
\(578\) 6.96839 4.02320i 0.289847 0.167343i
\(579\) −16.8866 4.73023i −0.701781 0.196582i
\(580\) 9.71259 4.87530i 0.403293 0.202436i
\(581\) −2.61588 + 1.51028i −0.108525 + 0.0626570i
\(582\) 19.7725 27.5686i 0.819598 1.14276i
\(583\) 0.647009 + 0.542905i 0.0267964 + 0.0224848i
\(584\) −0.726084 0.264273i −0.0300456 0.0109357i
\(585\) 27.3299 + 26.9909i 1.12995 + 1.11594i
\(586\) 0.890112 0.746892i 0.0367702 0.0308538i
\(587\) 6.87823 + 39.0084i 0.283895 + 1.61005i 0.709206 + 0.705001i \(0.249054\pi\)
−0.425311 + 0.905047i \(0.639835\pi\)
\(588\) −0.850456 + 8.59863i −0.0350722 + 0.354602i
\(589\) −23.6656 34.9367i −0.975122 1.43954i
\(590\) 7.20440 5.36113i 0.296600 0.220714i
\(591\) 1.36474 0.103849i 0.0561380 0.00427176i
\(592\) −4.84396 + 4.06457i −0.199086 + 0.167053i
\(593\) 20.7672 7.55865i 0.852807 0.310396i 0.121623 0.992576i \(-0.461190\pi\)
0.731184 + 0.682180i \(0.238968\pi\)
\(594\) 14.9986 19.9432i 0.615399 0.818278i
\(595\) 15.8439 + 0.926133i 0.649535 + 0.0379678i
\(596\) 9.75769 + 5.63360i 0.399690 + 0.230761i
\(597\) 22.7742 10.3076i 0.932085 0.421861i
\(598\) −26.9512 4.75222i −1.10212 0.194333i
\(599\) 4.39302 24.9141i 0.179494 1.01796i −0.753334 0.657638i \(-0.771556\pi\)
0.932828 0.360323i \(-0.117333\pi\)
\(600\) −8.58296 + 1.15448i −0.350398 + 0.0471315i
\(601\) −39.5222 22.8182i −1.61215 0.930773i −0.988872 0.148769i \(-0.952469\pi\)
−0.623274 0.782003i \(-0.714198\pi\)
\(602\) 8.23954 9.81950i 0.335818 0.400213i
\(603\) −30.6337 18.6234i −1.24750 0.758404i
\(604\) −6.70696 18.4272i −0.272902 0.749793i
\(605\) 26.2441 + 6.22579i 1.06698 + 0.253114i
\(606\) 13.1904 1.00371i 0.535825 0.0407730i
\(607\) −22.8014 −0.925482 −0.462741 0.886493i \(-0.653134\pi\)
−0.462741 + 0.886493i \(0.653134\pi\)
\(608\) −3.97854 + 1.78078i −0.161351 + 0.0722202i
\(609\) −11.8805 1.17506i −0.481424 0.0476157i
\(610\) −1.15754 1.09254i −0.0468672 0.0442355i
\(611\) 4.93118 4.13775i 0.199494 0.167395i
\(612\) 14.8410 2.27178i 0.599914 0.0918313i
\(613\) 2.80974 7.71971i 0.113484 0.311796i −0.869928 0.493178i \(-0.835835\pi\)
0.983413 + 0.181382i \(0.0580572\pi\)
\(614\) −5.61729 + 6.69443i −0.226696 + 0.270165i
\(615\) 0.321193 + 18.2890i 0.0129518 + 0.737483i
\(616\) 5.89831 3.40539i 0.237650 0.137207i
\(617\) 6.51429 36.9444i 0.262255 1.48732i −0.514483 0.857501i \(-0.672016\pi\)
0.776738 0.629823i \(-0.216873\pi\)
\(618\) 6.59501 23.5437i 0.265290 0.947066i
\(619\) 9.45192 + 16.3712i 0.379905 + 0.658014i 0.991048 0.133506i \(-0.0426235\pi\)
−0.611143 + 0.791520i \(0.709290\pi\)
\(620\) −2.50854 21.5010i −0.100745 0.863501i
\(621\) −20.8150 + 13.5456i −0.835279 + 0.543565i
\(622\) −16.4233 5.97759i −0.658515 0.239680i
\(623\) −0.268782 0.738473i −0.0107685 0.0295863i
\(624\) 5.59629 + 8.18804i 0.224031 + 0.327784i
\(625\) 9.92124 22.9471i 0.396850 0.917884i
\(626\) 11.0790 0.442806
\(627\) 22.5529 + 28.3889i 0.900676 + 1.13374i
\(628\) 14.6232i 0.583528i
\(629\) 5.49528 + 31.1653i 0.219111 + 1.24264i
\(630\) 8.64729 + 3.96678i 0.344516 + 0.158040i
\(631\) −1.50942 + 0.549385i −0.0600891 + 0.0218707i −0.371890 0.928277i \(-0.621290\pi\)
0.311801 + 0.950148i \(0.399068\pi\)
\(632\) −9.85873 3.58828i −0.392159 0.142734i
\(633\) 15.0287 + 15.3729i 0.597339 + 0.611017i
\(634\) 4.95910 8.58942i 0.196951 0.341129i
\(635\) −3.93466 + 9.11631i −0.156142 + 0.361770i
\(636\) −0.0821679 + 0.293333i −0.00325817 + 0.0116314i
\(637\) −4.96028 + 28.1312i −0.196534 + 1.11460i
\(638\) −11.6699 20.2129i −0.462017 0.800237i
\(639\) −23.4926 + 26.7439i −0.929354 + 1.05797i
\(640\) −2.23226 0.130484i −0.0882377 0.00515782i
\(641\) −13.3177 4.84724i −0.526017 0.191455i 0.0653420 0.997863i \(-0.479186\pi\)
−0.591359 + 0.806408i \(0.701408\pi\)
\(642\) −1.39901 5.46801i −0.0552146 0.215805i
\(643\) −10.8475 12.9275i −0.427782 0.509811i 0.508499 0.861063i \(-0.330201\pi\)
−0.936281 + 0.351252i \(0.885756\pi\)
\(644\) −6.67526 + 1.17703i −0.263042 + 0.0463814i
\(645\) 18.0324 + 30.0037i 0.710024 + 1.18139i
\(646\) −2.23742 + 21.6997i −0.0880302 + 0.853762i
\(647\) −5.35296 −0.210447 −0.105223 0.994449i \(-0.533556\pi\)
−0.105223 + 0.994449i \(0.533556\pi\)
\(648\) 8.78345 + 1.96239i 0.345047 + 0.0770898i
\(649\) −12.3972 14.7744i −0.486633 0.579947i
\(650\) −28.5824 + 1.65271i −1.12109 + 0.0648248i
\(651\) −10.2932 + 21.4370i −0.403423 + 0.840183i
\(652\) −0.863636 + 1.02924i −0.0338226 + 0.0403082i
\(653\) −17.4454 + 30.2163i −0.682692 + 1.18246i 0.291465 + 0.956582i \(0.405857\pi\)
−0.974156 + 0.225875i \(0.927476\pi\)
\(654\) −25.2718 + 11.4380i −0.988205 + 0.447261i
\(655\) −9.01839 17.9665i −0.352378 0.702008i
\(656\) −0.820127 + 4.65117i −0.0320206 + 0.181598i
\(657\) −2.19564 + 0.743309i −0.0856600 + 0.0289992i
\(658\) 0.797182 1.38076i 0.0310774 0.0538276i
\(659\) −6.36176 5.33815i −0.247819 0.207945i 0.510414 0.859929i \(-0.329492\pi\)
−0.758232 + 0.651984i \(0.773937\pi\)
\(660\) 3.55088 + 18.2573i 0.138218 + 0.710664i
\(661\) −7.72468 21.2234i −0.300455 0.825493i −0.994421 0.105485i \(-0.966360\pi\)
0.693966 0.720008i \(-0.255862\pi\)
\(662\) 1.36710 1.14714i 0.0531340 0.0445847i
\(663\) 49.4918 3.76603i 1.92210 0.146260i
\(664\) 2.12982i 0.0826531i
\(665\) −8.74264 + 10.7072i −0.339025 + 0.415209i
\(666\) −3.71615 + 18.6025i −0.143998 + 0.720831i
\(667\) 4.03355 + 22.8754i 0.156180 + 0.885740i
\(668\) 1.21403 + 1.44682i 0.0469721 + 0.0559792i
\(669\) −8.68061 33.9280i −0.335612 1.31173i
\(670\) 25.6004 7.65840i 0.989029 0.295870i
\(671\) −2.19734 + 2.61869i −0.0848275 + 0.101094i
\(672\) 1.99612 + 1.43164i 0.0770019 + 0.0552266i
\(673\) −7.25134 12.5597i −0.279519 0.484141i 0.691747 0.722140i \(-0.256842\pi\)
−0.971265 + 0.238000i \(0.923508\pi\)
\(674\) −14.4598 2.54965i −0.556970 0.0982088i
\(675\) −17.9287 + 18.8032i −0.690078 + 0.723735i
\(676\) 9.89372 + 17.1364i 0.380528 + 0.659094i
\(677\) −25.0311 14.4517i −0.962025 0.555425i −0.0652290 0.997870i \(-0.520778\pi\)
−0.896796 + 0.442445i \(0.854111\pi\)
\(678\) −7.68335 + 7.51136i −0.295077 + 0.288472i
\(679\) 9.50100 26.1038i 0.364615 1.00177i
\(680\) −6.15136 + 9.34841i −0.235894 + 0.358495i
\(681\) 38.0677 26.0182i 1.45876 0.997019i
\(682\) −45.7840 + 8.07296i −1.75316 + 0.309130i
\(683\) 26.1222i 0.999537i 0.866159 + 0.499768i \(0.166582\pi\)
−0.866159 + 0.499768i \(0.833418\pi\)
\(684\) −5.97407 + 11.6323i −0.228424 + 0.444772i
\(685\) 6.20253 + 8.33510i 0.236987 + 0.318468i
\(686\) 2.95246 + 16.7443i 0.112726 + 0.639299i
\(687\) −19.5889 28.6609i −0.747363 1.09348i
\(688\) 3.09131 + 8.49330i 0.117855 + 0.323804i
\(689\) −0.344437 + 0.946332i −0.0131220 + 0.0360524i
\(690\) 2.89372 18.2829i 0.110162 0.696018i
\(691\) −22.3974 + 38.7935i −0.852038 + 1.47577i 0.0273283 + 0.999627i \(0.491300\pi\)
−0.879366 + 0.476146i \(0.842033\pi\)
\(692\) 3.56948 2.06084i 0.135691 0.0783413i
\(693\) 7.42110 19.0370i 0.281904 0.723157i
\(694\) −12.9724 2.28738i −0.492424 0.0868277i
\(695\) −2.23728 + 5.18362i −0.0848650 + 0.196626i
\(696\) 4.90607 6.84048i 0.185964 0.259288i
\(697\) 18.1066 + 15.1933i 0.685837 + 0.575486i
\(698\) 0.0963803 0.264803i 0.00364805 0.0100229i
\(699\) 1.07126 + 4.18701i 0.0405188 + 0.158367i
\(700\) −6.51235 + 2.80592i −0.246144 + 0.106054i
\(701\) −46.1368 + 8.13516i −1.74256 + 0.307261i −0.952222 0.305407i \(-0.901208\pi\)
−0.790341 + 0.612667i \(0.790097\pi\)
\(702\) 28.4615 + 8.67200i 1.07421 + 0.327304i
\(703\) −24.7971 12.0338i −0.935240 0.453864i
\(704\) 4.80234i 0.180995i
\(705\) 2.85683 + 3.28570i 0.107595 + 0.123747i
\(706\) −2.73163 3.25543i −0.102806 0.122520i
\(707\) 10.1785 3.70466i 0.382801 0.139328i
\(708\) 3.01093 6.27067i 0.113158 0.235666i
\(709\) −18.7780 15.7566i −0.705222 0.591752i 0.218032 0.975942i \(-0.430036\pi\)
−0.923254 + 0.384190i \(0.874481\pi\)
\(710\) −3.07469 26.3536i −0.115391 0.989033i
\(711\) −29.8123 + 10.0926i −1.11805 + 0.378502i
\(712\) 0.545703 + 0.0962221i 0.0204511 + 0.00360608i
\(713\) 45.5652 + 8.03438i 1.70643 + 0.300890i
\(714\) 11.1998 5.06904i 0.419144 0.189704i
\(715\) 7.12554 + 61.0739i 0.266480 + 2.28404i
\(716\) −9.47813 7.95310i −0.354214 0.297221i
\(717\) 22.5871 + 10.8454i 0.843530 + 0.405030i
\(718\) −4.19368 + 1.52637i −0.156507 + 0.0569638i
\(719\) −3.90235 4.65064i −0.145533 0.173439i 0.688354 0.725375i \(-0.258334\pi\)
−0.833887 + 0.551936i \(0.813889\pi\)
\(720\) −5.47092 + 3.88189i −0.203889 + 0.144669i
\(721\) 20.0199i 0.745579i
\(722\) −14.1698 12.6576i −0.527347 0.471068i
\(723\) −24.1320 2.38680i −0.897478 0.0887659i
\(724\) 8.94578 1.57738i 0.332467 0.0586230i
\(725\) 9.61558 + 22.3172i 0.357114 + 0.828838i
\(726\) 20.2408 5.17869i 0.751207 0.192199i
\(727\) 8.98220 24.6784i 0.333131 0.915270i −0.654161 0.756355i \(-0.726978\pi\)
0.987292 0.158915i \(-0.0507996\pi\)
\(728\) 6.22088 + 5.21994i 0.230561 + 0.193464i
\(729\) 24.2449 11.8821i 0.897960 0.440078i
\(730\) 0.684667 1.58632i 0.0253407 0.0587124i
\(731\) 44.5466 + 7.85478i 1.64762 + 0.290519i
\(732\) −1.18723 0.332565i −0.0438813 0.0122920i
\(733\) 9.94353 5.74090i 0.367273 0.212045i −0.304994 0.952354i \(-0.598654\pi\)
0.672266 + 0.740309i \(0.265321\pi\)
\(734\) 2.39693 4.15160i 0.0884723 0.153238i
\(735\) −19.0834 3.02042i −0.703901 0.111410i
\(736\) 1.63465 4.49116i 0.0602539 0.165546i
\(737\) −19.6281 53.9277i −0.723010 1.98645i
\(738\) 6.80481 + 12.4277i 0.250489 + 0.457471i
\(739\) 1.78347 + 10.1146i 0.0656061 + 0.372071i 0.999880 + 0.0155136i \(0.00493833\pi\)
−0.934274 + 0.356557i \(0.883951\pi\)
\(740\) −8.44110 11.3433i −0.310301 0.416989i
\(741\) −22.6107 + 36.8462i −0.830625 + 1.35358i
\(742\) 0.249430i 0.00915685i
\(743\) −19.8443 + 3.49908i −0.728016 + 0.128369i −0.525359 0.850881i \(-0.676069\pi\)
−0.202657 + 0.979250i \(0.564958\pi\)
\(744\) −9.46141 13.8432i −0.346872 0.507515i
\(745\) −13.8489 + 21.0466i −0.507383 + 0.771087i
\(746\) 5.12672 14.0855i 0.187703 0.515708i
\(747\) −3.99522 4.98633i −0.146178 0.182440i
\(748\) 20.8140 + 12.0170i 0.761036 + 0.439385i
\(749\) −2.31074 4.00233i −0.0844328 0.146242i
\(750\) −1.45716 19.3100i −0.0532080 0.705102i
\(751\) 6.32900 + 1.11597i 0.230949 + 0.0407225i 0.287925 0.957653i \(-0.407035\pi\)
−0.0569760 + 0.998376i \(0.518146\pi\)
\(752\) 0.562099 + 0.973584i 0.0204976 + 0.0355030i
\(753\) −24.4400 + 34.0765i −0.890644 + 1.24182i
\(754\) 17.8882 21.3183i 0.651450 0.776368i
\(755\) 42.0095 12.5672i 1.52888 0.457368i
\(756\) 7.35883 0.392669i 0.267638 0.0142813i
\(757\) −26.0578 31.0544i −0.947086 1.12869i −0.991556 0.129682i \(-0.958604\pi\)
0.0444701 0.999011i \(-0.485840\pi\)
\(758\) 2.86985 + 16.2757i 0.104238 + 0.591161i
\(759\) −39.5614 3.91286i −1.43599 0.142028i
\(760\) −3.45603 9.11350i −0.125363 0.330581i
\(761\) 35.7467i 1.29582i 0.761719 + 0.647908i \(0.224356\pi\)
−0.761719 + 0.647908i \(0.775644\pi\)
\(762\) 0.583560 + 7.66894i 0.0211401 + 0.277816i
\(763\) −17.3996 + 14.6000i −0.629908 + 0.528556i
\(764\) −7.67541 21.0880i −0.277687 0.762938i
\(765\) 3.13469 + 33.4255i 0.113335 + 1.20850i
\(766\) −5.50756 4.62139i −0.198996 0.166978i
\(767\) 11.4981 19.9154i 0.415174 0.719102i
\(768\) −1.57796 + 0.714182i −0.0569396 + 0.0257708i
\(769\) −2.02211 + 11.4680i −0.0729191 + 0.413545i 0.926396 + 0.376550i \(0.122890\pi\)
−0.999315 + 0.0369950i \(0.988221\pi\)
\(770\) 6.83208 + 13.6109i 0.246211 + 0.490503i
\(771\) 16.5560 + 36.5798i 0.596250 + 1.31739i
\(772\) 5.06237 8.76828i 0.182199 0.315577i
\(773\) 20.3355 24.2349i 0.731417 0.871669i −0.264269 0.964449i \(-0.585131\pi\)
0.995687 + 0.0927798i \(0.0295753\pi\)