Properties

Label 403.2.k.e.66.16
Level 403
Weight 2
Character 403.66
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 66.16
Character \(\chi\) \(=\) 403.66
Dual form 403.2.k.e.287.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.773013 + 2.37909i) q^{2} +(0.384456 - 1.18324i) q^{3} +(-3.44449 + 2.50257i) q^{4} -2.86335 q^{5} +3.11221 q^{6} +(-1.19324 + 0.866941i) q^{7} +(-4.56892 - 3.31951i) q^{8} +(1.17481 + 0.853551i) q^{9} +O(q^{10})\) \(q+(0.773013 + 2.37909i) q^{2} +(0.384456 - 1.18324i) q^{3} +(-3.44449 + 2.50257i) q^{4} -2.86335 q^{5} +3.11221 q^{6} +(-1.19324 + 0.866941i) q^{7} +(-4.56892 - 3.31951i) q^{8} +(1.17481 + 0.853551i) q^{9} +(-2.21341 - 6.81217i) q^{10} +(-4.28613 + 3.11405i) q^{11} +(1.63687 + 5.03777i) q^{12} +(0.309017 - 0.951057i) q^{13} +(-2.98492 - 2.16867i) q^{14} +(-1.10083 + 3.38802i) q^{15} +(1.73423 - 5.33742i) q^{16} +(-6.22931 - 4.52586i) q^{17} +(-1.12253 + 3.45479i) q^{18} +(0.422979 + 1.30179i) q^{19} +(9.86278 - 7.16573i) q^{20} +(0.567046 + 1.74519i) q^{21} +(-10.7218 - 7.78988i) q^{22} +(3.11255 + 2.26140i) q^{23} +(-5.68431 + 4.12989i) q^{24} +3.19879 q^{25} +2.50152 q^{26} +(4.48118 - 3.25576i) q^{27} +(1.94053 - 5.97234i) q^{28} +(-0.139754 - 0.430119i) q^{29} -8.91136 q^{30} +(3.97919 + 3.89437i) q^{31} +2.74380 q^{32} +(2.03683 + 6.26871i) q^{33} +(5.95208 - 18.3186i) q^{34} +(3.41667 - 2.48236i) q^{35} -6.18269 q^{36} -5.08045 q^{37} +(-2.77012 + 2.01261i) q^{38} +(-1.00652 - 0.731280i) q^{39} +(13.0824 + 9.50493i) q^{40} +(3.74120 + 11.5142i) q^{41} +(-3.71362 + 2.69811i) q^{42} +(2.47671 + 7.62253i) q^{43} +(6.97038 - 21.4526i) q^{44} +(-3.36390 - 2.44402i) q^{45} +(-2.97403 + 9.15314i) q^{46} +(-1.09459 + 3.36881i) q^{47} +(-5.64868 - 4.10401i) q^{48} +(-1.49088 + 4.58845i) q^{49} +(2.47270 + 7.61020i) q^{50} +(-7.75005 + 5.63074i) q^{51} +(1.31568 + 4.04924i) q^{52} +(-0.503374 - 0.365722i) q^{53} +(11.2098 + 8.14437i) q^{54} +(12.2727 - 8.91663i) q^{55} +8.32964 q^{56} +1.70295 q^{57} +(0.915260 - 0.664975i) q^{58} +(1.44138 - 4.43611i) q^{59} +(-4.68693 - 14.4249i) q^{60} +10.4459 q^{61} +(-6.18908 + 12.4772i) q^{62} -2.14181 q^{63} +(-1.34747 - 4.14709i) q^{64} +(-0.884825 + 2.72321i) q^{65} +(-13.3393 + 9.69160i) q^{66} +6.12626 q^{67} +32.7830 q^{68} +(3.87241 - 2.81347i) q^{69} +(8.54689 + 6.20968i) q^{70} +(-6.31968 - 4.59152i) q^{71} +(-2.53425 - 7.79960i) q^{72} +(-3.48822 + 2.53434i) q^{73} +(-3.92726 - 12.0868i) q^{74} +(1.22979 - 3.78492i) q^{75} +(-4.71477 - 3.42548i) q^{76} +(2.41469 - 7.43164i) q^{77} +(0.961727 - 2.95989i) q^{78} +(7.59432 + 5.51760i) q^{79} +(-4.96572 + 15.2829i) q^{80} +(-0.783304 - 2.41076i) q^{81} +(-24.5014 + 17.8013i) q^{82} +(-4.95653 - 15.2546i) q^{83} +(-6.32063 - 4.59221i) q^{84} +(17.8367 + 12.9591i) q^{85} +(-16.2202 + 11.7846i) q^{86} -0.562661 q^{87} +29.9201 q^{88} +(3.75763 - 2.73008i) q^{89} +(3.21420 - 9.89228i) q^{90} +(0.455778 + 1.40274i) q^{91} -16.3805 q^{92} +(6.13777 - 3.21110i) q^{93} -8.86083 q^{94} +(-1.21114 - 3.72750i) q^{95} +(1.05487 - 3.24656i) q^{96} +(-6.67779 + 4.85170i) q^{97} -12.0688 q^{98} -7.69340 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} + O(q^{10}) \) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} - 13q^{10} - 5q^{11} - 28q^{12} - 17q^{13} - 3q^{14} - 14q^{15} + 9q^{16} + 12q^{17} - 19q^{18} - 4q^{19} - 53q^{20} - 13q^{21} - 14q^{22} - 9q^{23} + 2q^{24} + 96q^{25} + 12q^{26} + 25q^{27} - 25q^{28} - 78q^{30} - 2q^{31} + 76q^{32} + 29q^{33} - 15q^{34} - 36q^{35} + 52q^{36} + 24q^{37} - 19q^{38} + 3q^{39} - 12q^{40} - 40q^{41} + 11q^{42} - 22q^{43} + 4q^{44} + 63q^{45} - 24q^{46} + 3q^{47} + 68q^{48} + 33q^{49} - 76q^{50} - 59q^{51} - 13q^{52} - q^{53} + 18q^{54} - 22q^{55} + 78q^{56} - 16q^{57} + 5q^{58} - 18q^{59} + 43q^{60} - 32q^{61} - 39q^{62} + 20q^{63} + 23q^{64} + 2q^{65} + 11q^{66} + 114q^{67} + 98q^{68} - 46q^{69} + 32q^{70} - 2q^{71} + 28q^{72} + 10q^{73} - 43q^{74} - 12q^{75} - 35q^{76} - 3q^{77} - 6q^{78} - 10q^{79} + 68q^{80} - 54q^{81} - 80q^{82} - 22q^{83} - 14q^{84} - 50q^{85} - 66q^{86} + 76q^{87} - 34q^{88} - 10q^{89} - 63q^{90} - 8q^{91} - 64q^{92} - 16q^{93} + 30q^{94} + 15q^{95} + 34q^{96} - 7q^{97} + 138q^{98} - 48q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.773013 + 2.37909i 0.546603 + 1.68227i 0.717148 + 0.696921i \(0.245447\pi\)
−0.170545 + 0.985350i \(0.554553\pi\)
\(3\) 0.384456 1.18324i 0.221966 0.683141i −0.776619 0.629970i \(-0.783067\pi\)
0.998585 0.0531711i \(-0.0169329\pi\)
\(4\) −3.44449 + 2.50257i −1.72224 + 1.25128i
\(5\) −2.86335 −1.28053 −0.640265 0.768154i \(-0.721175\pi\)
−0.640265 + 0.768154i \(0.721175\pi\)
\(6\) 3.11221 1.27056
\(7\) −1.19324 + 0.866941i −0.451003 + 0.327673i −0.789992 0.613118i \(-0.789915\pi\)
0.338989 + 0.940790i \(0.389915\pi\)
\(8\) −4.56892 3.31951i −1.61536 1.17362i
\(9\) 1.17481 + 0.853551i 0.391604 + 0.284517i
\(10\) −2.21341 6.81217i −0.699942 2.15420i
\(11\) −4.28613 + 3.11405i −1.29232 + 0.938922i −0.999849 0.0173533i \(-0.994476\pi\)
−0.292467 + 0.956276i \(0.594476\pi\)
\(12\) 1.63687 + 5.03777i 0.472524 + 1.45428i
\(13\) 0.309017 0.951057i 0.0857059 0.263776i
\(14\) −2.98492 2.16867i −0.797754 0.579602i
\(15\) −1.10083 + 3.38802i −0.284234 + 0.874783i
\(16\) 1.73423 5.33742i 0.433558 1.33435i
\(17\) −6.22931 4.52586i −1.51083 1.09768i −0.965808 0.259258i \(-0.916522\pi\)
−0.545021 0.838423i \(-0.683478\pi\)
\(18\) −1.12253 + 3.45479i −0.264583 + 0.814302i
\(19\) 0.422979 + 1.30179i 0.0970379 + 0.298652i 0.987779 0.155858i \(-0.0498143\pi\)
−0.890742 + 0.454510i \(0.849814\pi\)
\(20\) 9.86278 7.16573i 2.20538 1.60231i
\(21\) 0.567046 + 1.74519i 0.123740 + 0.380831i
\(22\) −10.7218 7.78988i −2.28591 1.66081i
\(23\) 3.11255 + 2.26140i 0.649012 + 0.471535i 0.862934 0.505316i \(-0.168624\pi\)
−0.213922 + 0.976851i \(0.568624\pi\)
\(24\) −5.68431 + 4.12989i −1.16031 + 0.843011i
\(25\) 3.19879 0.639757
\(26\) 2.50152 0.490589
\(27\) 4.48118 3.25576i 0.862403 0.626572i
\(28\) 1.94053 5.97234i 0.366726 1.12867i
\(29\) −0.139754 0.430119i −0.0259517 0.0798711i 0.937242 0.348680i \(-0.113370\pi\)
−0.963194 + 0.268809i \(0.913370\pi\)
\(30\) −8.91136 −1.62699
\(31\) 3.97919 + 3.89437i 0.714683 + 0.699449i
\(32\) 2.74380 0.485039
\(33\) 2.03683 + 6.26871i 0.354566 + 1.09124i
\(34\) 5.95208 18.3186i 1.02077 3.14162i
\(35\) 3.41667 2.48236i 0.577523 0.419595i
\(36\) −6.18269 −1.03045
\(37\) −5.08045 −0.835221 −0.417610 0.908626i \(-0.637132\pi\)
−0.417610 + 0.908626i \(0.637132\pi\)
\(38\) −2.77012 + 2.01261i −0.449372 + 0.326488i
\(39\) −1.00652 0.731280i −0.161172 0.117098i
\(40\) 13.0824 + 9.50493i 2.06851 + 1.50286i
\(41\) 3.74120 + 11.5142i 0.584277 + 1.79822i 0.602153 + 0.798381i \(0.294310\pi\)
−0.0178751 + 0.999840i \(0.505690\pi\)
\(42\) −3.71362 + 2.69811i −0.573025 + 0.416327i
\(43\) 2.47671 + 7.62253i 0.377695 + 1.16242i 0.941643 + 0.336614i \(0.109282\pi\)
−0.563948 + 0.825810i \(0.690718\pi\)
\(44\) 6.97038 21.4526i 1.05082 3.23411i
\(45\) −3.36390 2.44402i −0.501461 0.364333i
\(46\) −2.97403 + 9.15314i −0.438497 + 1.34956i
\(47\) −1.09459 + 3.36881i −0.159663 + 0.491391i −0.998603 0.0528317i \(-0.983175\pi\)
0.838941 + 0.544223i \(0.183175\pi\)
\(48\) −5.64868 4.10401i −0.815317 0.592362i
\(49\) −1.49088 + 4.58845i −0.212983 + 0.655494i
\(50\) 2.47270 + 7.61020i 0.349693 + 1.07625i
\(51\) −7.75005 + 5.63074i −1.08522 + 0.788461i
\(52\) 1.31568 + 4.04924i 0.182452 + 0.561528i
\(53\) −0.503374 0.365722i −0.0691437 0.0502358i 0.552676 0.833396i \(-0.313607\pi\)
−0.621820 + 0.783160i \(0.713607\pi\)
\(54\) 11.2098 + 8.14437i 1.52546 + 1.10831i
\(55\) 12.2727 8.91663i 1.65485 1.20232i
\(56\) 8.32964 1.11310
\(57\) 1.70295 0.225561
\(58\) 0.915260 0.664975i 0.120180 0.0873155i
\(59\) 1.44138 4.43611i 0.187652 0.577532i −0.812332 0.583195i \(-0.801802\pi\)
0.999984 + 0.00566262i \(0.00180248\pi\)
\(60\) −4.68693 14.4249i −0.605081 1.86225i
\(61\) 10.4459 1.33746 0.668730 0.743506i \(-0.266838\pi\)
0.668730 + 0.743506i \(0.266838\pi\)
\(62\) −6.18908 + 12.4772i −0.786014 + 1.58461i
\(63\) −2.14181 −0.269843
\(64\) −1.34747 4.14709i −0.168434 0.518387i
\(65\) −0.884825 + 2.72321i −0.109749 + 0.337773i
\(66\) −13.3393 + 9.69160i −1.64196 + 1.19295i
\(67\) 6.12626 0.748442 0.374221 0.927340i \(-0.377910\pi\)
0.374221 + 0.927340i \(0.377910\pi\)
\(68\) 32.7830 3.97552
\(69\) 3.87241 2.81347i 0.466184 0.338702i
\(70\) 8.54689 + 6.20968i 1.02155 + 0.742198i
\(71\) −6.31968 4.59152i −0.750009 0.544913i 0.145821 0.989311i \(-0.453418\pi\)
−0.895830 + 0.444398i \(0.853418\pi\)
\(72\) −2.53425 7.79960i −0.298664 0.919192i
\(73\) −3.48822 + 2.53434i −0.408265 + 0.296622i −0.772899 0.634529i \(-0.781194\pi\)
0.364634 + 0.931151i \(0.381194\pi\)
\(74\) −3.92726 12.0868i −0.456534 1.40507i
\(75\) 1.22979 3.78492i 0.142004 0.437045i
\(76\) −4.71477 3.42548i −0.540821 0.392930i
\(77\) 2.41469 7.43164i 0.275179 0.846914i
\(78\) 0.961727 2.95989i 0.108894 0.335142i
\(79\) 7.59432 + 5.51760i 0.854428 + 0.620778i 0.926363 0.376631i \(-0.122918\pi\)
−0.0719356 + 0.997409i \(0.522918\pi\)
\(80\) −4.96572 + 15.2829i −0.555184 + 1.70868i
\(81\) −0.783304 2.41076i −0.0870338 0.267862i
\(82\) −24.5014 + 17.8013i −2.70573 + 1.96583i
\(83\) −4.95653 15.2546i −0.544050 1.67441i −0.723238 0.690599i \(-0.757347\pi\)
0.179188 0.983815i \(-0.442653\pi\)
\(84\) −6.32063 4.59221i −0.689637 0.501051i
\(85\) 17.8367 + 12.9591i 1.93466 + 1.40561i
\(86\) −16.2202 + 11.7846i −1.74906 + 1.27077i
\(87\) −0.562661 −0.0603236
\(88\) 29.9201 3.18949
\(89\) 3.75763 2.73008i 0.398308 0.289388i −0.370544 0.928815i \(-0.620829\pi\)
0.768851 + 0.639428i \(0.220829\pi\)
\(90\) 3.21420 9.89228i 0.338806 1.04274i
\(91\) 0.455778 + 1.40274i 0.0477785 + 0.147047i
\(92\) −16.3805 −1.70778
\(93\) 6.13777 3.21110i 0.636458 0.332975i
\(94\) −8.86083 −0.913925
\(95\) −1.21114 3.72750i −0.124260 0.382433i
\(96\) 1.05487 3.24656i 0.107662 0.331350i
\(97\) −6.67779 + 4.85170i −0.678027 + 0.492616i −0.872703 0.488252i \(-0.837635\pi\)
0.194675 + 0.980868i \(0.437635\pi\)
\(98\) −12.0688 −1.21913
\(99\) −7.69340 −0.773215
\(100\) −11.0182 + 8.00518i −1.10182 + 0.800518i
\(101\) −1.35594 0.985151i −0.134921 0.0980262i 0.518277 0.855213i \(-0.326573\pi\)
−0.653199 + 0.757186i \(0.726573\pi\)
\(102\) −19.3869 14.0854i −1.91959 1.39467i
\(103\) −4.32333 13.3058i −0.425990 1.31106i −0.902043 0.431646i \(-0.857933\pi\)
0.476053 0.879417i \(-0.342067\pi\)
\(104\) −4.56892 + 3.31951i −0.448019 + 0.325505i
\(105\) −1.62365 4.99709i −0.158452 0.487666i
\(106\) 0.480972 1.48028i 0.0467161 0.143777i
\(107\) −10.2280 7.43106i −0.988776 0.718388i −0.0291233 0.999576i \(-0.509272\pi\)
−0.959653 + 0.281188i \(0.909272\pi\)
\(108\) −7.28759 + 22.4289i −0.701248 + 2.15822i
\(109\) −2.17409 + 6.69116i −0.208240 + 0.640897i 0.791325 + 0.611396i \(0.209392\pi\)
−0.999565 + 0.0295009i \(0.990608\pi\)
\(110\) 30.7004 + 22.3052i 2.92717 + 2.12671i
\(111\) −1.95321 + 6.01137i −0.185391 + 0.570574i
\(112\) 2.55787 + 7.87231i 0.241696 + 0.743863i
\(113\) −10.0808 + 7.32411i −0.948319 + 0.688994i −0.950409 0.311003i \(-0.899335\pi\)
0.00208935 + 0.999998i \(0.499335\pi\)
\(114\) 1.31640 + 4.05146i 0.123292 + 0.379454i
\(115\) −8.91233 6.47519i −0.831079 0.603815i
\(116\) 1.55778 + 1.13180i 0.144636 + 0.105085i
\(117\) 1.17481 0.853551i 0.108611 0.0789108i
\(118\) 11.6681 1.07414
\(119\) 11.3567 1.04107
\(120\) 16.2762 11.8253i 1.48581 1.07950i
\(121\) 5.27437 16.2328i 0.479488 1.47571i
\(122\) 8.07481 + 24.8517i 0.731059 + 2.24997i
\(123\) 15.0624 1.35813
\(124\) −23.4522 3.45592i −2.10607 0.310350i
\(125\) 5.15751 0.461302
\(126\) −1.65565 5.09557i −0.147497 0.453949i
\(127\) 3.14201 9.67012i 0.278809 0.858085i −0.709378 0.704828i \(-0.751024\pi\)
0.988186 0.153256i \(-0.0489760\pi\)
\(128\) 13.2642 9.63704i 1.17241 0.851802i
\(129\) 9.97143 0.877936
\(130\) −7.16274 −0.628214
\(131\) −6.20409 + 4.50754i −0.542054 + 0.393825i −0.824847 0.565356i \(-0.808739\pi\)
0.282793 + 0.959181i \(0.408739\pi\)
\(132\) −22.7037 16.4952i −1.97610 1.43572i
\(133\) −1.63329 1.18666i −0.141625 0.102896i
\(134\) 4.73568 + 14.5749i 0.409101 + 1.25908i
\(135\) −12.8312 + 9.32240i −1.10433 + 0.802345i
\(136\) 13.4375 + 41.3565i 1.15226 + 3.54629i
\(137\) −4.59161 + 14.1315i −0.392288 + 1.20734i 0.538766 + 0.842455i \(0.318891\pi\)
−0.931054 + 0.364882i \(0.881109\pi\)
\(138\) 9.68693 + 7.03796i 0.824606 + 0.599111i
\(139\) −0.455336 + 1.40138i −0.0386211 + 0.118864i −0.968508 0.248981i \(-0.919904\pi\)
0.929887 + 0.367845i \(0.119904\pi\)
\(140\) −5.55642 + 17.1009i −0.469603 + 1.44529i
\(141\) 3.56527 + 2.59032i 0.300250 + 0.218144i
\(142\) 6.03844 18.5844i 0.506735 1.55957i
\(143\) 1.63715 + 5.03864i 0.136906 + 0.421353i
\(144\) 6.59315 4.79021i 0.549429 0.399184i
\(145\) 0.400165 + 1.23158i 0.0332319 + 0.102277i
\(146\) −8.72586 6.33971i −0.722158 0.524678i
\(147\) 4.85604 + 3.52812i 0.400520 + 0.290995i
\(148\) 17.4995 12.7142i 1.43845 1.04510i
\(149\) −6.54242 −0.535976 −0.267988 0.963422i \(-0.586359\pi\)
−0.267988 + 0.963422i \(0.586359\pi\)
\(150\) 9.95531 0.812847
\(151\) −2.65286 + 1.92742i −0.215887 + 0.156851i −0.690473 0.723358i \(-0.742598\pi\)
0.474586 + 0.880209i \(0.342598\pi\)
\(152\) 2.38877 7.35187i 0.193755 0.596315i
\(153\) −3.45522 10.6341i −0.279338 0.859713i
\(154\) 19.5471 1.57515
\(155\) −11.3938 11.1509i −0.915173 0.895665i
\(156\) 5.29702 0.424101
\(157\) 4.68702 + 14.4252i 0.374065 + 1.15125i 0.944107 + 0.329638i \(0.106927\pi\)
−0.570043 + 0.821615i \(0.693073\pi\)
\(158\) −7.25635 + 22.3327i −0.577284 + 1.77670i
\(159\) −0.626261 + 0.455005i −0.0496657 + 0.0360843i
\(160\) −7.85646 −0.621107
\(161\) −5.67453 −0.447216
\(162\) 5.12992 3.72710i 0.403044 0.292829i
\(163\) −5.60474 4.07208i −0.438997 0.318950i 0.346239 0.938146i \(-0.387459\pi\)
−0.785236 + 0.619196i \(0.787459\pi\)
\(164\) −41.7017 30.2980i −3.25635 2.36588i
\(165\) −5.83216 17.9495i −0.454033 1.39737i
\(166\) 32.4607 23.5841i 2.51944 1.83048i
\(167\) 5.07325 + 15.6138i 0.392580 + 1.20824i 0.930831 + 0.365451i \(0.119085\pi\)
−0.538251 + 0.842785i \(0.680915\pi\)
\(168\) 3.20239 9.85593i 0.247069 0.760401i
\(169\) −0.809017 0.587785i −0.0622321 0.0452143i
\(170\) −17.0429 + 52.4527i −1.30713 + 4.02294i
\(171\) −0.614227 + 1.89040i −0.0469711 + 0.144562i
\(172\) −27.6069 20.0576i −2.10500 1.52938i
\(173\) −1.85940 + 5.72265i −0.141368 + 0.435085i −0.996526 0.0832819i \(-0.973460\pi\)
0.855158 + 0.518367i \(0.173460\pi\)
\(174\) −0.434945 1.33862i −0.0329731 0.101481i
\(175\) −3.81693 + 2.77316i −0.288533 + 0.209631i
\(176\) 9.18786 + 28.2773i 0.692561 + 2.13148i
\(177\) −4.69481 3.41098i −0.352884 0.256385i
\(178\) 9.39979 + 6.82935i 0.704544 + 0.511881i
\(179\) −4.65428 + 3.38153i −0.347877 + 0.252748i −0.747978 0.663724i \(-0.768975\pi\)
0.400101 + 0.916471i \(0.368975\pi\)
\(180\) 17.7032 1.31952
\(181\) −5.74850 −0.427282 −0.213641 0.976912i \(-0.568532\pi\)
−0.213641 + 0.976912i \(0.568532\pi\)
\(182\) −2.98492 + 2.16867i −0.221257 + 0.160753i
\(183\) 4.01599 12.3599i 0.296871 0.913673i
\(184\) −6.71424 20.6643i −0.494980 1.52339i
\(185\) 14.5471 1.06953
\(186\) 12.3841 + 12.1201i 0.908044 + 0.888689i
\(187\) 40.7934 2.98311
\(188\) −4.66035 14.3431i −0.339891 1.04608i
\(189\) −2.52457 + 7.76983i −0.183636 + 0.565172i
\(190\) 7.93182 5.76281i 0.575435 0.418078i
\(191\) −5.78306 −0.418448 −0.209224 0.977868i \(-0.567094\pi\)
−0.209224 + 0.977868i \(0.567094\pi\)
\(192\) −5.42503 −0.391518
\(193\) −6.17048 + 4.48312i −0.444161 + 0.322702i −0.787286 0.616588i \(-0.788515\pi\)
0.343125 + 0.939290i \(0.388515\pi\)
\(194\) −16.7047 12.1366i −1.19932 0.871360i
\(195\) 2.88202 + 2.09391i 0.206386 + 0.149948i
\(196\) −6.34760 19.5359i −0.453400 1.39542i
\(197\) 18.9758 13.7867i 1.35197 0.982262i 0.353057 0.935602i \(-0.385142\pi\)
0.998911 0.0466600i \(-0.0148577\pi\)
\(198\) −5.94710 18.3033i −0.422642 1.30076i
\(199\) 8.11873 24.9869i 0.575522 1.77127i −0.0588746 0.998265i \(-0.518751\pi\)
0.634396 0.773008i \(-0.281249\pi\)
\(200\) −14.6150 10.6184i −1.03344 0.750835i
\(201\) 2.35528 7.24881i 0.166129 0.511292i
\(202\) 1.29560 3.98745i 0.0911581 0.280556i
\(203\) 0.539648 + 0.392077i 0.0378759 + 0.0275184i
\(204\) 12.6036 38.7900i 0.882431 2.71584i
\(205\) −10.7124 32.9693i −0.748185 2.30268i
\(206\) 28.3138 20.5712i 1.97271 1.43326i
\(207\) 1.72644 + 5.31344i 0.119996 + 0.369310i
\(208\) −4.54028 3.29870i −0.314812 0.228724i
\(209\) −5.86680 4.26248i −0.405815 0.294842i
\(210\) 10.6334 7.72563i 0.733775 0.533119i
\(211\) 2.97050 0.204497 0.102249 0.994759i \(-0.467396\pi\)
0.102249 + 0.994759i \(0.467396\pi\)
\(212\) 2.64911 0.181942
\(213\) −7.86249 + 5.71243i −0.538729 + 0.391410i
\(214\) 9.77280 30.0776i 0.668055 2.05606i
\(215\) −7.09169 21.8260i −0.483649 1.48852i
\(216\) −31.2817 −2.12845
\(217\) −8.12432 1.19720i −0.551515 0.0812713i
\(218\) −17.5995 −1.19199
\(219\) 1.65765 + 5.10173i 0.112014 + 0.344743i
\(220\) −19.9587 + 61.4265i −1.34561 + 4.14137i
\(221\) −6.22931 + 4.52586i −0.419028 + 0.304442i
\(222\) −15.8114 −1.06119
\(223\) 18.0024 1.20553 0.602764 0.797919i \(-0.294066\pi\)
0.602764 + 0.797919i \(0.294066\pi\)
\(224\) −3.27401 + 2.37871i −0.218754 + 0.158934i
\(225\) 3.75797 + 2.73033i 0.250532 + 0.182022i
\(226\) −25.2173 18.3214i −1.67743 1.21872i
\(227\) −1.98825 6.11920i −0.131965 0.406145i 0.863141 0.504963i \(-0.168494\pi\)
−0.995106 + 0.0988178i \(0.968494\pi\)
\(228\) −5.86577 + 4.26173i −0.388470 + 0.282240i
\(229\) −1.95095 6.00441i −0.128922 0.396782i 0.865673 0.500610i \(-0.166891\pi\)
−0.994595 + 0.103828i \(0.966891\pi\)
\(230\) 8.51571 26.2087i 0.561509 1.72815i
\(231\) −7.86504 5.71428i −0.517481 0.375972i
\(232\) −0.789260 + 2.42909i −0.0518175 + 0.159478i
\(233\) −4.09357 + 12.5987i −0.268179 + 0.825369i 0.722765 + 0.691094i \(0.242871\pi\)
−0.990944 + 0.134276i \(0.957129\pi\)
\(234\) 2.93882 + 2.13518i 0.192117 + 0.139581i
\(235\) 3.13420 9.64608i 0.204453 0.629241i
\(236\) 6.13684 + 18.8873i 0.399475 + 1.22946i
\(237\) 9.44830 6.86459i 0.613733 0.445903i
\(238\) 8.77889 + 27.0187i 0.569051 + 1.75136i
\(239\) 13.3327 + 9.68679i 0.862422 + 0.626587i 0.928543 0.371225i \(-0.121062\pi\)
−0.0661205 + 0.997812i \(0.521062\pi\)
\(240\) 16.1742 + 11.7512i 1.04404 + 0.758538i
\(241\) −13.8761 + 10.0816i −0.893841 + 0.649413i −0.936877 0.349660i \(-0.886297\pi\)
0.0430357 + 0.999074i \(0.486297\pi\)
\(242\) 42.6965 2.74464
\(243\) 13.4635 0.863682
\(244\) −35.9807 + 26.1415i −2.30343 + 1.67354i
\(245\) 4.26891 13.1384i 0.272731 0.839379i
\(246\) 11.6434 + 35.8348i 0.742357 + 2.28474i
\(247\) 1.36879 0.0870938
\(248\) −5.25317 31.0020i −0.333577 1.96863i
\(249\) −19.9554 −1.26462
\(250\) 3.98682 + 12.2702i 0.252149 + 0.776034i
\(251\) −6.23225 + 19.1809i −0.393376 + 1.21069i 0.536842 + 0.843683i \(0.319617\pi\)
−0.930219 + 0.367006i \(0.880383\pi\)
\(252\) 7.37745 5.36003i 0.464736 0.337650i
\(253\) −20.3829 −1.28146
\(254\) 25.4349 1.59593
\(255\) 22.1911 16.1228i 1.38966 1.00965i
\(256\) 26.1254 + 18.9812i 1.63284 + 1.18632i
\(257\) 18.9460 + 13.7651i 1.18182 + 0.858640i 0.992375 0.123252i \(-0.0393323\pi\)
0.189441 + 0.981892i \(0.439332\pi\)
\(258\) 7.70805 + 23.7229i 0.479882 + 1.47693i
\(259\) 6.06221 4.40445i 0.376687 0.273679i
\(260\) −3.76725 11.5944i −0.233635 0.719054i
\(261\) 0.202944 0.624596i 0.0125619 0.0386615i
\(262\) −15.5197 11.2757i −0.958809 0.696616i
\(263\) −4.03460 + 12.4172i −0.248784 + 0.765678i 0.746207 + 0.665714i \(0.231873\pi\)
−0.994991 + 0.0999642i \(0.968127\pi\)
\(264\) 11.5030 35.4025i 0.707959 2.17887i
\(265\) 1.44134 + 1.04719i 0.0885406 + 0.0643285i
\(266\) 1.56061 4.80306i 0.0956870 0.294494i
\(267\) −1.78568 5.49575i −0.109282 0.336335i
\(268\) −21.1018 + 15.3314i −1.28900 + 0.936513i
\(269\) −3.00050 9.23459i −0.182944 0.563043i 0.816963 0.576690i \(-0.195656\pi\)
−0.999907 + 0.0136471i \(0.995656\pi\)
\(270\) −32.0975 23.3202i −1.95339 1.41922i
\(271\) 16.6997 + 12.1331i 1.01444 + 0.737032i 0.965135 0.261752i \(-0.0843003\pi\)
0.0493022 + 0.998784i \(0.484300\pi\)
\(272\) −34.9594 + 25.3995i −2.11973 + 1.54007i
\(273\) 1.83500 0.111059
\(274\) −37.1695 −2.24549
\(275\) −13.7104 + 9.96119i −0.826769 + 0.600683i
\(276\) −6.29757 + 19.3819i −0.379069 + 1.16666i
\(277\) −4.62884 14.2461i −0.278120 0.855966i −0.988377 0.152023i \(-0.951421\pi\)
0.710257 0.703943i \(-0.248579\pi\)
\(278\) −3.68599 −0.221071
\(279\) 1.35076 + 7.97158i 0.0808676 + 0.477246i
\(280\) −23.8507 −1.42535
\(281\) 6.41599 + 19.7464i 0.382746 + 1.17797i 0.938102 + 0.346358i \(0.112582\pi\)
−0.555356 + 0.831613i \(0.687418\pi\)
\(282\) −3.40660 + 10.4844i −0.202860 + 0.624340i
\(283\) 4.97301 3.61310i 0.295615 0.214777i −0.430085 0.902788i \(-0.641516\pi\)
0.725699 + 0.688012i \(0.241516\pi\)
\(284\) 33.2587 1.97354
\(285\) −4.87613 −0.288837
\(286\) −10.7218 + 7.78988i −0.633996 + 0.460625i
\(287\) −14.4463 10.4959i −0.852739 0.619551i
\(288\) 3.22344 + 2.34197i 0.189943 + 0.138002i
\(289\) 13.0676 + 40.2179i 0.768682 + 2.36576i
\(290\) −2.62071 + 1.90406i −0.153894 + 0.111810i
\(291\) 3.17338 + 9.76667i 0.186027 + 0.572532i
\(292\) 5.67277 17.4590i 0.331974 1.02171i
\(293\) 8.86650 + 6.44189i 0.517987 + 0.376339i 0.815845 0.578271i \(-0.196272\pi\)
−0.297858 + 0.954610i \(0.596272\pi\)
\(294\) −4.63993 + 14.2803i −0.270606 + 0.832841i
\(295\) −4.12718 + 12.7021i −0.240293 + 0.739547i
\(296\) 23.2121 + 16.8646i 1.34918 + 0.980236i
\(297\) −9.06826 + 27.9092i −0.526194 + 1.61946i
\(298\) −5.05738 15.5650i −0.292966 0.901657i
\(299\) 3.11255 2.26140i 0.180004 0.130780i
\(300\) 5.23600 + 16.1147i 0.302300 + 0.930385i
\(301\) −9.56360 6.94836i −0.551237 0.400497i
\(302\) −6.63619 4.82148i −0.381870 0.277445i
\(303\) −1.68697 + 1.22565i −0.0969137 + 0.0704119i
\(304\) 7.68176 0.440579
\(305\) −29.9103 −1.71266
\(306\) 22.6285 16.4405i 1.29358 0.939843i
\(307\) 6.49329 19.9843i 0.370592 1.14056i −0.575813 0.817581i \(-0.695314\pi\)
0.946405 0.322983i \(-0.104686\pi\)
\(308\) 10.2808 + 31.6411i 0.585804 + 1.80292i
\(309\) −17.4061 −0.990196
\(310\) 17.7215 35.7267i 1.00652 2.02914i
\(311\) 0.459578 0.0260603 0.0130301 0.999915i \(-0.495852\pi\)
0.0130301 + 0.999915i \(0.495852\pi\)
\(312\) 2.17121 + 6.68231i 0.122921 + 0.378311i
\(313\) −7.58256 + 23.3367i −0.428592 + 1.31907i 0.470921 + 0.882175i \(0.343922\pi\)
−0.899513 + 0.436894i \(0.856078\pi\)
\(314\) −30.6956 + 22.3017i −1.73225 + 1.25856i
\(315\) 6.13277 0.345542
\(316\) −39.9667 −2.24830
\(317\) −4.75369 + 3.45376i −0.266994 + 0.193982i −0.713225 0.700936i \(-0.752766\pi\)
0.446231 + 0.894918i \(0.352766\pi\)
\(318\) −1.56661 1.13821i −0.0878509 0.0638274i
\(319\) 1.93842 + 1.40834i 0.108531 + 0.0788521i
\(320\) 3.85829 + 11.8746i 0.215685 + 0.663810i
\(321\) −12.7249 + 9.24519i −0.710235 + 0.516016i
\(322\) −4.38649 13.5002i −0.244449 0.752338i
\(323\) 3.25687 10.0236i 0.181217 0.557729i
\(324\) 8.73117 + 6.34357i 0.485065 + 0.352420i
\(325\) 0.988479 3.04223i 0.0548310 0.168752i
\(326\) 5.35531 16.4819i 0.296603 0.912851i
\(327\) 7.08137 + 5.14492i 0.391601 + 0.284515i
\(328\) 21.1284 65.0265i 1.16662 3.59049i
\(329\) −1.61444 4.96875i −0.0890072 0.273936i
\(330\) 38.1952 27.7505i 2.10258 1.52761i
\(331\) −1.40745 4.33169i −0.0773605 0.238091i 0.904896 0.425632i \(-0.139948\pi\)
−0.982257 + 0.187541i \(0.939948\pi\)
\(332\) 55.2485 + 40.1404i 3.03215 + 2.20299i
\(333\) −5.96857 4.33642i −0.327076 0.237634i
\(334\) −33.2251 + 24.1394i −1.81799 + 1.32085i
\(335\) −17.5416 −0.958403
\(336\) 10.2982 0.561812
\(337\) −15.0048 + 10.9017i −0.817366 + 0.593851i −0.915957 0.401277i \(-0.868567\pi\)
0.0985908 + 0.995128i \(0.468567\pi\)
\(338\) 0.773013 2.37909i 0.0420464 0.129405i
\(339\) 4.79053 + 14.7437i 0.260186 + 0.800769i
\(340\) −93.8693 −5.09078
\(341\) −29.1826 4.30035i −1.58032 0.232877i
\(342\) −4.97223 −0.268867
\(343\) −5.38939 16.5868i −0.290999 0.895604i
\(344\) 13.9872 43.0482i 0.754139 2.32100i
\(345\) −11.0881 + 8.05596i −0.596962 + 0.433718i
\(346\) −15.0520 −0.809203
\(347\) 22.5600 1.21108 0.605542 0.795814i \(-0.292957\pi\)
0.605542 + 0.795814i \(0.292957\pi\)
\(348\) 1.93808 1.40810i 0.103892 0.0754819i
\(349\) 14.7673 + 10.7290i 0.790473 + 0.574312i 0.908104 0.418745i \(-0.137530\pi\)
−0.117631 + 0.993057i \(0.537530\pi\)
\(350\) −9.54813 6.93712i −0.510369 0.370805i
\(351\) −1.71166 5.26794i −0.0913615 0.281182i
\(352\) −11.7603 + 8.54433i −0.626824 + 0.455414i
\(353\) −3.76564 11.5895i −0.200425 0.616845i −0.999870 0.0161058i \(-0.994873\pi\)
0.799445 0.600739i \(-0.205127\pi\)
\(354\) 4.48588 13.8061i 0.238422 0.733787i
\(355\) 18.0955 + 13.1471i 0.960409 + 0.697778i
\(356\) −6.11090 + 18.8074i −0.323877 + 0.996792i
\(357\) 4.36616 13.4377i 0.231082 0.711197i
\(358\) −11.6428 8.45899i −0.615341 0.447071i
\(359\) 1.48966 4.58469i 0.0786210 0.241971i −0.904019 0.427492i \(-0.859397\pi\)
0.982640 + 0.185521i \(0.0593973\pi\)
\(360\) 7.25644 + 22.3330i 0.382448 + 1.17705i
\(361\) 13.8556 10.0667i 0.729240 0.529824i
\(362\) −4.44367 13.6762i −0.233554 0.718805i
\(363\) −17.1795 12.4816i −0.901690 0.655116i
\(364\) −5.08037 3.69111i −0.266284 0.193467i
\(365\) 9.98800 7.25671i 0.522796 0.379834i
\(366\) 32.5098 1.69932
\(367\) 22.5284 1.17597 0.587987 0.808870i \(-0.299921\pi\)
0.587987 + 0.808870i \(0.299921\pi\)
\(368\) 17.4679 12.6912i 0.910579 0.661574i
\(369\) −5.43278 + 16.7204i −0.282819 + 0.870428i
\(370\) 11.2451 + 34.6089i 0.584606 + 1.79923i
\(371\) 0.917706 0.0476449
\(372\) −13.1055 + 26.4208i −0.679488 + 1.36985i
\(373\) 19.9251 1.03168 0.515841 0.856684i \(-0.327480\pi\)
0.515841 + 0.856684i \(0.327480\pi\)
\(374\) 31.5338 + 97.0511i 1.63057 + 5.01839i
\(375\) 1.98284 6.10255i 0.102393 0.315134i
\(376\) 16.1839 11.7583i 0.834620 0.606387i
\(377\) −0.452254 −0.0232923
\(378\) −20.4367 −1.05115
\(379\) −19.4377 + 14.1223i −0.998447 + 0.725415i −0.961755 0.273912i \(-0.911682\pi\)
−0.0366927 + 0.999327i \(0.511682\pi\)
\(380\) 13.5000 + 9.80836i 0.692538 + 0.503158i
\(381\) −10.2341 7.43548i −0.524307 0.380931i
\(382\) −4.47038 13.7584i −0.228725 0.703942i
\(383\) 29.5678 21.4823i 1.51084 1.09769i 0.545043 0.838408i \(-0.316513\pi\)
0.965801 0.259284i \(-0.0834867\pi\)
\(384\) −6.30336 19.3997i −0.321667 0.989989i
\(385\) −6.91410 + 21.2794i −0.352375 + 1.08450i
\(386\) −15.4356 11.2146i −0.785652 0.570809i
\(387\) −3.59655 + 11.0690i −0.182823 + 0.562671i
\(388\) 10.8599 33.4232i 0.551326 1.69681i
\(389\) −17.8448 12.9650i −0.904766 0.657351i 0.0349199 0.999390i \(-0.488882\pi\)
−0.939686 + 0.342039i \(0.888882\pi\)
\(390\) −2.75376 + 8.47521i −0.139442 + 0.429159i
\(391\) −9.15426 28.1739i −0.462951 1.42482i
\(392\) 22.0431 16.0153i 1.11335 0.808893i
\(393\) 2.94827 + 9.07385i 0.148721 + 0.457715i
\(394\) 47.4683 + 34.4878i 2.39142 + 1.73747i
\(395\) −21.7452 15.7988i −1.09412 0.794925i
\(396\) 26.4998 19.2532i 1.33167 0.967512i
\(397\) −35.9526 −1.80441 −0.902205 0.431308i \(-0.858052\pi\)
−0.902205 + 0.431308i \(0.858052\pi\)
\(398\) 65.7219 3.29434
\(399\) −2.03203 + 1.47635i −0.101729 + 0.0739101i
\(400\) 5.54744 17.0733i 0.277372 0.853663i
\(401\) 2.47814 + 7.62693i 0.123752 + 0.380871i 0.993672 0.112323i \(-0.0358293\pi\)
−0.869919 + 0.493194i \(0.835829\pi\)
\(402\) 19.0662 0.950937
\(403\) 4.93340 2.58101i 0.245750 0.128569i
\(404\) 7.13594 0.355026
\(405\) 2.24288 + 6.90286i 0.111449 + 0.343006i
\(406\) −0.515632 + 1.58695i −0.0255904 + 0.0787592i
\(407\) 21.7755 15.8208i 1.07937 0.784208i
\(408\) 54.1006 2.67838
\(409\) −34.3095 −1.69649 −0.848247 0.529600i \(-0.822342\pi\)
−0.848247 + 0.529600i \(0.822342\pi\)
\(410\) 70.1562 50.9714i 3.46477 2.51730i
\(411\) 14.9556 + 10.8659i 0.737707 + 0.535976i
\(412\) 48.1904 + 35.0124i 2.37417 + 1.72493i
\(413\) 2.12593 + 6.54294i 0.104610 + 0.321957i
\(414\) −11.3066 + 8.21473i −0.555689 + 0.403732i
\(415\) 14.1923 + 43.6794i 0.696673 + 2.14414i
\(416\) 0.847880 2.60951i 0.0415707 0.127942i
\(417\) 1.48311 + 1.07754i 0.0726280 + 0.0527674i
\(418\) 5.60571 17.2526i 0.274184 0.843852i
\(419\) −6.59207 + 20.2883i −0.322044 + 0.991149i 0.650714 + 0.759323i \(0.274470\pi\)
−0.972757 + 0.231826i \(0.925530\pi\)
\(420\) 18.0982 + 13.1491i 0.883101 + 0.641610i
\(421\) 11.7872 36.2773i 0.574473 1.76805i −0.0634951 0.997982i \(-0.520225\pi\)
0.637968 0.770063i \(-0.279775\pi\)
\(422\) 2.29623 + 7.06708i 0.111779 + 0.344020i
\(423\) −4.16139 + 3.02342i −0.202334 + 0.147004i
\(424\) 1.08585 + 3.34191i 0.0527337 + 0.162297i
\(425\) −19.9262 14.4772i −0.966564 0.702250i
\(426\) −19.6682 14.2898i −0.952928 0.692343i
\(427\) −12.4645 + 9.05597i −0.603198 + 0.438249i
\(428\) 53.8269 2.60182
\(429\) 6.59132 0.318232
\(430\) 46.4440 33.7436i 2.23973 1.62726i
\(431\) −9.18734 + 28.2757i −0.442539 + 1.36199i 0.442622 + 0.896708i \(0.354048\pi\)
−0.885160 + 0.465286i \(0.845952\pi\)
\(432\) −9.60597 29.5641i −0.462168 1.42241i
\(433\) 7.31295 0.351438 0.175719 0.984440i \(-0.443775\pi\)
0.175719 + 0.984440i \(0.443775\pi\)
\(434\) −3.43196 20.2539i −0.164739 0.972220i
\(435\) 1.61110 0.0772462
\(436\) −9.25645 28.4884i −0.443304 1.36435i
\(437\) −1.62734 + 5.00843i −0.0778461 + 0.239586i
\(438\) −10.8561 + 7.88741i −0.518724 + 0.376875i
\(439\) 11.2636 0.537582 0.268791 0.963198i \(-0.413376\pi\)
0.268791 + 0.963198i \(0.413376\pi\)
\(440\) −85.6718 −4.08424
\(441\) −5.66798 + 4.11803i −0.269904 + 0.196097i
\(442\) −15.5828 11.3215i −0.741196 0.538510i
\(443\) −10.2132 7.42034i −0.485245 0.352551i 0.318108 0.948055i \(-0.396953\pi\)
−0.803353 + 0.595503i \(0.796953\pi\)
\(444\) −8.31603 25.5941i −0.394662 1.21464i
\(445\) −10.7594 + 7.81717i −0.510045 + 0.370569i
\(446\) 13.9161 + 42.8293i 0.658945 + 2.02802i
\(447\) −2.51528 + 7.74122i −0.118968 + 0.366147i
\(448\) 5.20314 + 3.78031i 0.245825 + 0.178603i
\(449\) −0.795983 + 2.44979i −0.0375648 + 0.115613i −0.968081 0.250639i \(-0.919359\pi\)
0.930516 + 0.366252i \(0.119359\pi\)
\(450\) −3.59073 + 11.0511i −0.169269 + 0.520956i
\(451\) −51.8912 37.7012i −2.44346 1.77528i
\(452\) 16.3940 50.4556i 0.771110 2.37323i
\(453\) 1.26068 + 3.87997i 0.0592318 + 0.182297i
\(454\) 13.0212 9.46044i 0.611114 0.444000i
\(455\) −1.30505 4.01654i −0.0611818 0.188298i
\(456\) −7.78061 5.65295i −0.364361 0.264724i
\(457\) 15.7107 + 11.4145i 0.734916 + 0.533948i 0.891115 0.453778i \(-0.149924\pi\)
−0.156199 + 0.987726i \(0.549924\pi\)
\(458\) 12.7769 9.28297i 0.597026 0.433765i
\(459\) −42.6497 −1.99072
\(460\) 46.9030 2.18686
\(461\) −17.5427 + 12.7455i −0.817043 + 0.593617i −0.915864 0.401489i \(-0.868493\pi\)
0.0988208 + 0.995105i \(0.468493\pi\)
\(462\) 7.51502 23.1288i 0.349630 1.07605i
\(463\) 1.84021 + 5.66359i 0.0855219 + 0.263209i 0.984668 0.174439i \(-0.0558113\pi\)
−0.899146 + 0.437649i \(0.855811\pi\)
\(464\) −2.53809 −0.117828
\(465\) −17.5746 + 9.19451i −0.815003 + 0.426385i
\(466\) −33.1379 −1.53508
\(467\) −8.22004 25.2987i −0.380378 1.17068i −0.939778 0.341786i \(-0.888968\pi\)
0.559400 0.828898i \(-0.311032\pi\)
\(468\) −1.91056 + 5.88009i −0.0883155 + 0.271807i
\(469\) −7.31011 + 5.31111i −0.337550 + 0.245244i
\(470\) 25.3717 1.17031
\(471\) 18.8703 0.869498
\(472\) −21.3113 + 15.4835i −0.980930 + 0.712687i
\(473\) −34.3525 24.9585i −1.57953 1.14759i
\(474\) 23.6351 + 17.1719i 1.08560 + 0.788733i
\(475\) 1.35302 + 4.16416i 0.0620807 + 0.191065i
\(476\) −39.1181 + 28.4209i −1.79297 + 1.30267i
\(477\) −0.279207 0.859310i −0.0127840 0.0393451i
\(478\) −12.7394 + 39.2078i −0.582686 + 1.79332i
\(479\) −6.43678 4.67660i −0.294104 0.213679i 0.430942 0.902380i \(-0.358181\pi\)
−0.725046 + 0.688701i \(0.758181\pi\)
\(480\) −3.02046 + 9.29603i −0.137865 + 0.424304i
\(481\) −1.56995 + 4.83180i −0.0715833 + 0.220311i
\(482\) −34.7115 25.2194i −1.58107 1.14871i
\(483\) −2.18161 + 6.71430i −0.0992667 + 0.305511i
\(484\) 22.4563 + 69.1133i 1.02074 + 3.14151i
\(485\) 19.1209 13.8921i 0.868234 0.630809i
\(486\) 10.4074 + 32.0308i 0.472091 + 1.45295i
\(487\) −0.818392 0.594597i −0.0370849 0.0269437i 0.569088 0.822276i \(-0.307296\pi\)
−0.606173 + 0.795333i \(0.707296\pi\)
\(488\) −47.7264 34.6753i −2.16047 1.56968i
\(489\) −6.97301 + 5.06618i −0.315330 + 0.229101i
\(490\) 34.5573 1.56114
\(491\) 7.20785 0.325286 0.162643 0.986685i \(-0.447998\pi\)
0.162643 + 0.986685i \(0.447998\pi\)
\(492\) −51.8822 + 37.6946i −2.33903 + 1.69940i
\(493\) −1.07609 + 3.31185i −0.0484644 + 0.149158i
\(494\) 1.05809 + 3.25647i 0.0476058 + 0.146515i
\(495\) 22.0289 0.990126
\(496\) 27.6867 14.4848i 1.24317 0.650388i
\(497\) 11.5215 0.516809
\(498\) −15.4258 47.4757i −0.691246 2.12744i
\(499\) −4.92752 + 15.1654i −0.220586 + 0.678894i 0.778124 + 0.628111i \(0.216172\pi\)
−0.998710 + 0.0507831i \(0.983828\pi\)
\(500\) −17.7650 + 12.9070i −0.794474 + 0.577219i
\(501\) 20.4253 0.912535
\(502\) −50.4507 −2.25173
\(503\) −5.35795 + 3.89278i −0.238899 + 0.173570i −0.700793 0.713365i \(-0.747170\pi\)
0.461894 + 0.886935i \(0.347170\pi\)
\(504\) 9.78577 + 7.10977i 0.435893 + 0.316695i
\(505\) 3.88255 + 2.82083i 0.172771 + 0.125526i
\(506\) −15.7563 48.4928i −0.700452 2.15577i
\(507\) −1.00652 + 0.731280i −0.0447011 + 0.0324773i
\(508\) 13.3775 + 41.1717i 0.593531 + 1.82670i
\(509\) 4.45611 13.7145i 0.197514 0.607884i −0.802425 0.596754i \(-0.796457\pi\)
0.999938 0.0111305i \(-0.00354303\pi\)
\(510\) 55.5116 + 40.3315i 2.45810 + 1.78591i
\(511\) 1.96517 6.04816i 0.0869339 0.267555i
\(512\) −14.8297 + 45.6412i −0.655388 + 2.01708i
\(513\) 6.13378 + 4.45645i 0.270813 + 0.196757i
\(514\) −18.1028 + 55.7147i −0.798481 + 2.45747i
\(515\) 12.3792 + 38.0993i 0.545493 + 1.67885i
\(516\) −34.3465 + 24.9542i −1.51202 + 1.09855i
\(517\) −5.79908 17.8477i −0.255043 0.784943i
\(518\) 15.1648 + 11.0178i 0.666301 + 0.484096i
\(519\) 6.05638 + 4.40022i 0.265846 + 0.193148i
\(520\) 13.0824 9.50493i 0.573702 0.416819i
\(521\) 27.8241 1.21900 0.609499 0.792787i \(-0.291371\pi\)
0.609499 + 0.792787i \(0.291371\pi\)
\(522\) 1.64285 0.0719055
\(523\) 22.9623 16.6831i 1.00407 0.729501i 0.0411145 0.999154i \(-0.486909\pi\)
0.962957 + 0.269654i \(0.0869092\pi\)
\(524\) 10.0895 31.0523i 0.440762 1.35653i
\(525\) 1.81386 + 5.58248i 0.0791633 + 0.243639i
\(526\) −32.6605 −1.42406
\(527\) −7.16223 42.2684i −0.311991 1.84124i
\(528\) 36.9911 1.60983
\(529\) −2.53335 7.79684i −0.110145 0.338993i
\(530\) −1.37719 + 4.23856i −0.0598214 + 0.184111i
\(531\) 5.47979 3.98130i 0.237803 0.172774i
\(532\) 8.59555 0.372664
\(533\) 12.1068 0.524403
\(534\) 11.6945 8.49658i 0.506072 0.367683i
\(535\) 29.2863 + 21.2777i 1.26616 + 0.919917i
\(536\) −27.9904 20.3362i −1.20900 0.878390i
\(537\) 2.21178 + 6.80716i 0.0954454 + 0.293751i
\(538\) 19.6505 14.2769i 0.847193 0.615522i
\(539\) −7.89860 24.3094i −0.340217 1.04708i
\(540\) 20.8669 64.2218i 0.897969 2.76367i
\(541\) 19.8161 + 14.3972i 0.851959 + 0.618984i 0.925685 0.378294i \(-0.123489\pi\)
−0.0737265 + 0.997278i \(0.523489\pi\)
\(542\) −15.9566 + 49.1092i −0.685393 + 2.10942i
\(543\) −2.21005 + 6.80183i −0.0948422 + 0.291894i
\(544\) −17.0919 12.4180i −0.732811 0.532418i
\(545\) 6.22519 19.1592i 0.266658 0.820688i
\(546\) 1.41848 + 4.36563i 0.0607053 + 0.186832i
\(547\) −14.4919 + 10.5290i −0.619631 + 0.450188i −0.852792 0.522250i \(-0.825093\pi\)
0.233162 + 0.972438i \(0.425093\pi\)
\(548\) −19.5493 60.1667i −0.835106 2.57019i
\(549\) 12.2720 + 8.91610i 0.523754 + 0.380530i
\(550\) −34.2969 24.9182i −1.46243 1.06251i
\(551\) 0.500813 0.363862i 0.0213354 0.0155011i
\(552\) −27.0321 −1.15056
\(553\) −13.8453 −0.588762
\(554\) 30.3146 22.0249i 1.28794 0.935747i
\(555\) 5.59273 17.2127i 0.237398 0.730637i
\(556\) −1.93865 5.96655i −0.0822170 0.253038i
\(557\) −5.37026 −0.227545 −0.113773 0.993507i \(-0.536294\pi\)
−0.113773 + 0.993507i \(0.536294\pi\)
\(558\) −17.9210 + 9.37571i −0.758655 + 0.396905i
\(559\) 8.01480 0.338990
\(560\) −7.32407 22.5412i −0.309499 0.952539i
\(561\) 15.6833 48.2681i 0.662148 2.03788i
\(562\) −42.0188 + 30.5284i −1.77246 + 1.28776i
\(563\) −19.7609 −0.832822 −0.416411 0.909177i \(-0.636712\pi\)
−0.416411 + 0.909177i \(0.636712\pi\)
\(564\) −18.7630 −0.790063
\(565\) 28.8648 20.9715i 1.21435 0.882278i
\(566\) 12.4401 + 9.03826i 0.522896 + 0.379906i
\(567\) 3.02466 + 2.19754i 0.127024 + 0.0922882i
\(568\) 13.6325 + 41.9565i 0.572007 + 1.76046i
\(569\) 22.5092 16.3539i 0.943635 0.685591i −0.00565798 0.999984i \(-0.501801\pi\)
0.949293 + 0.314393i \(0.101801\pi\)
\(570\) −3.76932 11.6008i −0.157879 0.485902i
\(571\) −7.74224 + 23.8282i −0.324002 + 0.997177i 0.647886 + 0.761737i \(0.275653\pi\)
−0.971889 + 0.235440i \(0.924347\pi\)
\(572\) −18.2487 13.2585i −0.763017 0.554364i
\(573\) −2.22334 + 6.84272i −0.0928812 + 0.285859i
\(574\) 13.8034 42.4825i 0.576143 1.77319i
\(575\) 9.95639 + 7.23374i 0.415210 + 0.301668i
\(576\) 1.95673 6.02219i 0.0815303 0.250925i
\(577\) −1.90669 5.86818i −0.0793765 0.244296i 0.903492 0.428606i \(-0.140995\pi\)
−0.982868 + 0.184310i \(0.940995\pi\)
\(578\) −85.5806 + 62.1780i −3.55968 + 2.58626i
\(579\) 2.93230 + 9.02470i 0.121862 + 0.375054i
\(580\) −4.46048 3.24073i −0.185211 0.134564i
\(581\) 19.1392 + 13.9055i 0.794028 + 0.576895i
\(582\) −20.7827 + 15.0995i −0.861471 + 0.625896i
\(583\) 3.29640 0.136523
\(584\) 24.3502 1.00762
\(585\) −3.36390 + 2.44402i −0.139080 + 0.101048i
\(586\) −8.47192 + 26.0739i −0.349972 + 1.07710i
\(587\) 3.75895 + 11.5689i 0.155149 + 0.477498i 0.998176 0.0603725i \(-0.0192288\pi\)
−0.843027 + 0.537871i \(0.819229\pi\)
\(588\) −25.5559 −1.05391
\(589\) −3.38655 + 6.82731i −0.139540 + 0.281315i
\(590\) −33.4099 −1.37546
\(591\) −9.01756 27.7532i −0.370933 1.14161i
\(592\) −8.81068 + 27.1165i −0.362117 + 1.11448i
\(593\) −12.5933 + 9.14956i −0.517144 + 0.375727i −0.815527 0.578719i \(-0.803553\pi\)
0.298383 + 0.954446i \(0.403553\pi\)
\(594\) −73.4085 −3.01199
\(595\) −32.5183 −1.33312
\(596\) 22.5353 16.3728i 0.923081 0.670658i
\(597\) −26.4441 19.2127i −1.08228 0.786325i
\(598\) 7.78612 + 5.65695i 0.318398 + 0.231330i
\(599\) 8.85132 + 27.2416i 0.361655 + 1.11306i 0.952049 + 0.305945i \(0.0989724\pi\)
−0.590394 + 0.807115i \(0.701028\pi\)
\(600\) −18.1829 + 13.2107i −0.742314 + 0.539323i
\(601\) 3.68436 + 11.3393i 0.150288 + 0.462539i 0.997653 0.0684717i \(-0.0218123\pi\)
−0.847365 + 0.531011i \(0.821812\pi\)
\(602\) 9.13799 28.1238i 0.372437 1.14624i
\(603\) 7.19721 + 5.22908i 0.293093 + 0.212944i
\(604\) 4.31426 13.2779i 0.175545 0.540271i
\(605\) −15.1024 + 46.4803i −0.613999 + 1.88969i
\(606\) −4.21999 3.06600i −0.171425 0.124548i
\(607\) −10.6625 + 32.8157i −0.432777 + 1.33195i 0.462571 + 0.886582i \(0.346927\pi\)
−0.895348 + 0.445368i \(0.853073\pi\)
\(608\) 1.16057 + 3.57186i 0.0470672 + 0.144858i
\(609\) 0.671391 0.487794i 0.0272061 0.0197664i
\(610\) −23.1210 71.1592i −0.936143 2.88115i
\(611\) 2.86568 + 2.08204i 0.115933 + 0.0842302i
\(612\) 38.5139 + 27.9820i 1.55683 + 1.13110i
\(613\) 27.3730 19.8876i 1.10558 0.803253i 0.123621 0.992330i \(-0.460549\pi\)
0.981962 + 0.189076i \(0.0605493\pi\)
\(614\) 52.5638 2.12130
\(615\) −43.1289 −1.73912
\(616\) −35.7019 + 25.9390i −1.43847 + 1.04511i
\(617\) 10.9638 33.7432i 0.441387 1.35845i −0.445011 0.895525i \(-0.646800\pi\)
0.886398 0.462924i \(-0.153200\pi\)
\(618\) −13.4551 41.4106i −0.541244 1.66578i
\(619\) −7.47775 −0.300556 −0.150278 0.988644i \(-0.548017\pi\)
−0.150278 + 0.988644i \(0.548017\pi\)
\(620\) 67.1518 + 9.89551i 2.69688 + 0.397413i
\(621\) 21.3105 0.855160
\(622\) 0.355260 + 1.09338i 0.0142446 + 0.0438405i
\(623\) −2.11694 + 6.51528i −0.0848136 + 0.261029i
\(624\) −5.64868 + 4.10401i −0.226128 + 0.164292i
\(625\) −30.7617 −1.23047
\(626\) −61.3816 −2.45330
\(627\) −7.29904 + 5.30306i −0.291496 + 0.211784i
\(628\) −52.2443 37.9577i −2.08477 1.51468i
\(629\) 31.6477 + 22.9934i 1.26188 + 0.916806i
\(630\) 4.74071 + 14.5904i 0.188874 + 0.581296i
\(631\) 15.2468 11.0774i 0.606965 0.440986i −0.241379 0.970431i \(-0.577600\pi\)
0.848344 + 0.529445i \(0.177600\pi\)
\(632\) −16.3821 50.4189i −0.651644 2.00555i
\(633\) 1.14203 3.51480i 0.0453915 0.139701i
\(634\) −11.8915 8.63965i −0.472270 0.343124i
\(635\) −8.99669 + 27.6890i −0.357023 + 1.09880i
\(636\) 1.01847 3.13452i 0.0403848 0.124292i
\(637\) 3.90317 + 2.83582i 0.154649 + 0.112359i
\(638\) −1.85215 + 5.70034i −0.0733274 + 0.225679i
\(639\) −3.50535 10.7883i −0.138669 0.426780i
\(640\) −37.9802 + 27.5942i −1.50130 + 1.09076i
\(641\) 4.07390 + 12.5382i 0.160909 + 0.495228i 0.998712 0.0507459i \(-0.0161599\pi\)
−0.837802 + 0.545974i \(0.816160\pi\)
\(642\) −31.8317 23.1271i −1.25630 0.912752i
\(643\) −11.0764 8.04747i −0.436810 0.317361i 0.347556 0.937659i \(-0.387012\pi\)
−0.784366 + 0.620298i \(0.787012\pi\)
\(644\) 19.5458 14.2009i 0.770214 0.559593i
\(645\) −28.5517 −1.12422
\(646\) 26.3647 1.03730
\(647\) 3.20578 2.32914i 0.126032 0.0915678i −0.522983 0.852343i \(-0.675181\pi\)
0.649016 + 0.760775i \(0.275181\pi\)
\(648\) −4.42370 + 13.6148i −0.173779 + 0.534838i
\(649\) 7.63635 + 23.5023i 0.299753 + 0.922544i
\(650\) 8.00184 0.313858
\(651\) −4.54002 + 9.15271i −0.177937 + 0.358723i
\(652\) 29.4961 1.15516
\(653\) −2.61660 8.05306i −0.102395 0.315141i 0.886715 0.462317i \(-0.152982\pi\)
−0.989110 + 0.147176i \(0.952982\pi\)
\(654\) −6.76623 + 20.8243i −0.264581 + 0.814295i
\(655\) 17.7645 12.9067i 0.694116 0.504305i
\(656\) 67.9444 2.65278
\(657\) −6.26119 −0.244272
\(658\) 10.5731 7.68182i 0.412183 0.299468i
\(659\) 6.06052 + 4.40323i 0.236084 + 0.171525i 0.699537 0.714596i \(-0.253390\pi\)
−0.463453 + 0.886122i \(0.653390\pi\)
\(660\) 65.0087 + 47.2316i 2.53046 + 1.83849i
\(661\) −11.1667 34.3676i −0.434334 1.33674i −0.893767 0.448531i \(-0.851947\pi\)
0.459433 0.888212i \(-0.348053\pi\)
\(662\) 9.21750 6.69690i 0.358248 0.260282i
\(663\) 2.96026 + 9.11073i 0.114967 + 0.353831i
\(664\) −27.9920 + 86.1504i −1.08630 + 3.34329i
\(665\) 4.67670 + 3.39782i 0.181355 + 0.131762i
\(666\) 5.70295 17.5519i 0.220985 0.680122i
\(667\) 0.537680 1.65481i 0.0208190 0.0640744i
\(668\) −56.5494 41.0856i −2.18796 1.58965i
\(669\) 6.92113 21.3010i 0.267586 0.823546i
\(670\) −13.5599 41.7332i −0.523866 1.61229i
\(671\) −44.7724 + 32.5291i −1.72842 + 1.25577i
\(672\) 1.55586 + 4.78844i 0.0600185 + 0.184718i
\(673\) −17.4198 12.6562i −0.671483 0.487861i 0.199038 0.979992i \(-0.436218\pi\)
−0.870521 + 0.492131i \(0.836218\pi\)
\(674\) −37.5350 27.2708i −1.44579 1.05043i
\(675\) 14.3343 10.4145i 0.551728 0.400854i
\(676\) 4.25762 0.163755
\(677\) −13.8227 −0.531251 −0.265625 0.964076i \(-0.585578\pi\)
−0.265625 + 0.964076i \(0.585578\pi\)
\(678\) −31.3735 + 22.7942i −1.20489 + 0.875406i
\(679\) 3.76208 11.5785i 0.144376 0.444342i
\(680\) −38.4764 118.418i −1.47550 4.54113i
\(681\) −8.00484 −0.306746
\(682\) −12.3276 72.7522i −0.472048 2.78582i
\(683\) 44.6663 1.70911 0.854554 0.519363i \(-0.173831\pi\)
0.854554 + 0.519363i \(0.173831\pi\)
\(684\) −2.61515 8.04859i −0.0999926 0.307746i
\(685\) 13.1474 40.4635i 0.502336 1.54603i
\(686\) 35.2955 25.6437i 1.34759 0.979080i
\(687\) −7.85468 −0.299675
\(688\) 44.9798 1.71484
\(689\) −0.503374 + 0.365722i −0.0191770 + 0.0139329i
\(690\) −27.7371 20.1522i −1.05593 0.767180i
\(691\) 39.2638 + 28.5268i 1.49367 + 1.08521i 0.972820 + 0.231562i \(0.0743837\pi\)
0.520847 + 0.853650i \(0.325616\pi\)
\(692\) −7.91662 24.3649i −0.300945 0.926213i
\(693\) 9.18008 6.66972i 0.348723 0.253362i
\(694\) 17.4392 + 53.6722i 0.661982 + 2.03737i
\(695\) 1.30379 4.01265i 0.0494555 0.152208i
\(696\) 2.57075 + 1.86776i 0.0974441 + 0.0707973i
\(697\) 28.8067 88.6578i 1.09113 3.35815i
\(698\) −14.1101 + 43.4263i −0.534074 + 1.64371i
\(699\) 13.3334 + 9.68731i 0.504317 + 0.366408i
\(700\) 6.20734 19.1042i 0.234615 0.722072i
\(701\) 13.7302 + 42.2574i 0.518584 + 1.59604i 0.776664 + 0.629915i \(0.216910\pi\)
−0.258080 + 0.966124i \(0.583090\pi\)
\(702\) 11.2098 8.14437i 0.423085 0.307390i
\(703\) −2.14892 6.61370i −0.0810481 0.249440i
\(704\) 18.6897 + 13.5789i 0.704395 + 0.511773i
\(705\) −10.2086 7.41699i −0.384479 0.279340i
\(706\) 24.6615 17.9176i 0.928147 0.674338i
\(707\) 2.47204 0.0929705
\(708\) 24.7074 0.928562
\(709\) 7.24457 5.26349i 0.272075 0.197674i −0.443378 0.896335i \(-0.646220\pi\)
0.715454 + 0.698660i \(0.246220\pi\)
\(710\) −17.2902 + 53.2137i −0.648889 + 1.99707i
\(711\) 4.21235 + 12.9643i 0.157975 + 0.486198i
\(712\) −26.2308 −0.983041
\(713\) 3.57870 + 21.1200i 0.134023 + 0.790948i
\(714\) 35.3445 1.32274
\(715\) −4.68775 14.4274i −0.175312 0.539555i
\(716\) 7.56910 23.2953i 0.282871 0.870586i
\(717\) 16.5876 12.0516i 0.619476 0.450075i
\(718\) 12.0589 0.450035
\(719\) −25.6471 −0.956476 −0.478238 0.878230i \(-0.658724\pi\)
−0.478238 + 0.878230i \(0.658724\pi\)
\(720\) −18.8785 + 13.7160i −0.703561 + 0.511167i
\(721\) 16.6941 + 12.1290i 0.621723 + 0.451708i
\(722\) 34.6600 + 25.1820i 1.28991 + 0.937176i
\(723\) 6.59414 + 20.2947i 0.245239 + 0.754767i
\(724\) 19.8006 14.3860i 0.735884 0.534651i
\(725\) −0.447044 1.37586i −0.0166028 0.0510981i
\(726\) 16.4150 50.5201i 0.609216 1.87498i
\(727\) 30.8456 + 22.4107i 1.14400 + 0.831166i 0.987672 0.156539i \(-0.0500337\pi\)
0.156330 + 0.987705i \(0.450034\pi\)
\(728\) 2.57400 7.92196i 0.0953988 0.293607i
\(729\) 7.52603 23.1627i 0.278742 0.857879i
\(730\) 24.9852 + 18.1528i 0.924745 + 0.671866i
\(731\) 19.0703 58.6923i 0.705340 2.17081i
\(732\) 17.0986 + 52.6240i 0.631981 + 1.94504i
\(733\) −25.2210 + 18.3241i −0.931559 + 0.676817i −0.946374 0.323073i \(-0.895284\pi\)
0.0148148 + 0.999890i \(0.495284\pi\)
\(734\) 17.4148 + 53.5972i 0.642791 + 1.97831i
\(735\) −13.9046 10.1023i −0.512878 0.372627i
\(736\) 8.54021 + 6.20483i 0.314796 + 0.228713i
\(737\) −26.2579 + 19.0775i −0.967224 + 0.702729i
\(738\) −43.9789 −1.61888
\(739\) −7.83970 −0.288388 −0.144194 0.989549i \(-0.546059\pi\)
−0.144194 + 0.989549i \(0.546059\pi\)
\(740\) −50.1074 + 36.4051i −1.84198 + 1.33828i
\(741\) 0.526239 1.61960i 0.0193319 0.0594974i
\(742\) 0.709399 + 2.18331i 0.0260429 + 0.0801517i
\(743\) −23.1813 −0.850439 −0.425219 0.905090i \(-0.639803\pi\)
−0.425219 + 0.905090i \(0.639803\pi\)
\(744\) −38.7023 5.70317i −1.41889 0.209088i
\(745\) 18.7333 0.686333
\(746\) 15.4024 + 47.4036i 0.563920 + 1.73557i
\(747\) 7.19762 22.1520i 0.263347 0.810499i
\(748\) −140.512 + 102.088i −5.13763 + 3.73271i
\(749\) 18.6467 0.681337
\(750\) 16.0513 0.586109
\(751\) 13.8571 10.0677i 0.505651 0.367377i −0.305520 0.952186i \(-0.598830\pi\)
0.811171 + 0.584808i \(0.198830\pi\)
\(752\) 16.0824 + 11.6846i 0.586466 + 0.426093i
\(753\) 20.2995 + 14.7484i 0.739755 + 0.537463i
\(754\) −0.349598 1.07595i −0.0127316 0.0391839i
\(755\) 7.59607 5.51887i 0.276449 0.200852i
\(756\) −10.7487 33.0810i −0.390925 1.20314i
\(757\) −11.0045 + 33.8682i −0.399964 + 1.23096i 0.525064 + 0.851063i \(0.324041\pi\)
−0.925028 + 0.379899i \(0.875959\pi\)
\(758\) −48.6239 35.3273i −1.76610 1.28315i
\(759\) −7.83635 + 24.1178i −0.284441 + 0.875420i
\(760\) −6.83988 + 21.0510i −0.248109 + 0.763600i
\(761\) 13.8041 + 10.0292i 0.500397 + 0.363559i 0.809168 0.587577i \(-0.199918\pi\)
−0.308772 + 0.951136i \(0.599918\pi\)
\(762\) 9.77862 30.0955i 0.354242 1.09024i
\(763\) −3.20663 9.86898i −0.116088 0.357281i
\(764\) 19.9197 14.4725i 0.720669 0.523597i