Properties

Label 546.2.cg.b.241.2
Level $546$
Weight $2$
Character 546.241
Analytic conductor $4.360$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 241.2
Character \(\chi\) \(=\) 546.241
Dual form 546.2.cg.b.145.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.707107 - 0.707107i) q^{2} +(-0.866025 + 0.500000i) q^{3} +1.00000i q^{4} +(-1.30432 - 0.349490i) q^{5} +(0.965926 + 0.258819i) q^{6} +(-1.83449 + 1.90648i) q^{7} +(0.707107 - 0.707107i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.707107 - 0.707107i) q^{2} +(-0.866025 + 0.500000i) q^{3} +1.00000i q^{4} +(-1.30432 - 0.349490i) q^{5} +(0.965926 + 0.258819i) q^{6} +(-1.83449 + 1.90648i) q^{7} +(0.707107 - 0.707107i) q^{8} +(0.500000 - 0.866025i) q^{9} +(0.675164 + 1.16942i) q^{10} +(2.57289 + 0.689405i) q^{11} +(-0.500000 - 0.866025i) q^{12} +(-3.33563 - 1.36878i) q^{13} +(2.64526 - 0.0509058i) q^{14} +(1.30432 - 0.349490i) q^{15} -1.00000 q^{16} +5.24536 q^{17} +(-0.965926 + 0.258819i) q^{18} +(-1.78704 - 6.66931i) q^{19} +(0.349490 - 1.30432i) q^{20} +(0.635473 - 2.56830i) q^{21} +(-1.33183 - 2.30679i) q^{22} +0.262474i q^{23} +(-0.258819 + 0.965926i) q^{24} +(-2.75103 - 1.58831i) q^{25} +(1.39077 + 3.32652i) q^{26} +1.00000i q^{27} +(-1.90648 - 1.83449i) q^{28} +(3.07741 - 5.33023i) q^{29} +(-1.16942 - 0.675164i) q^{30} +(-0.112859 - 0.421196i) q^{31} +(0.707107 + 0.707107i) q^{32} +(-2.57289 + 0.689405i) q^{33} +(-3.70903 - 3.70903i) q^{34} +(3.05905 - 1.84551i) q^{35} +(0.866025 + 0.500000i) q^{36} +(1.94672 - 1.94672i) q^{37} +(-3.45229 + 5.97954i) q^{38} +(3.57313 - 0.482416i) q^{39} +(-1.16942 + 0.675164i) q^{40} +(-2.81615 - 10.5100i) q^{41} +(-2.26541 + 1.36672i) q^{42} +(6.74810 - 3.89602i) q^{43} +(-0.689405 + 2.57289i) q^{44} +(-0.954826 + 0.954826i) q^{45} +(0.185597 - 0.185597i) q^{46} +(-1.48760 + 5.55179i) q^{47} +(0.866025 - 0.500000i) q^{48} +(-0.269318 - 6.99482i) q^{49} +(0.822169 + 3.06837i) q^{50} +(-4.54261 + 2.62268i) q^{51} +(1.36878 - 3.33563i) q^{52} +(0.878238 - 1.52115i) q^{53} +(0.707107 - 0.707107i) q^{54} +(-3.11493 - 1.79840i) q^{55} +(0.0509058 + 2.64526i) q^{56} +(4.88227 + 4.88227i) q^{57} +(-5.94510 + 1.59298i) q^{58} +(-6.09059 - 6.09059i) q^{59} +(0.349490 + 1.30432i) q^{60} +(-7.62133 - 4.40017i) q^{61} +(-0.218027 + 0.377634i) q^{62} +(0.733815 + 2.54195i) q^{63} -1.00000i q^{64} +(3.87234 + 2.95110i) q^{65} +(2.30679 + 1.33183i) q^{66} +(-2.68089 + 10.0052i) q^{67} +5.24536i q^{68} +(-0.131237 - 0.227309i) q^{69} +(-3.46805 - 0.858097i) q^{70} +(1.08417 - 4.04618i) q^{71} +(-0.258819 - 0.965926i) q^{72} +(4.86981 - 1.30486i) q^{73} -2.75308 q^{74} +3.17662 q^{75} +(6.66931 - 1.78704i) q^{76} +(-6.03427 + 3.64046i) q^{77} +(-2.86771 - 2.18547i) q^{78} +(3.12948 + 5.42042i) q^{79} +(1.30432 + 0.349490i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-5.44038 + 9.42301i) q^{82} +(9.32218 - 9.32218i) q^{83} +(2.56830 + 0.635473i) q^{84} +(-6.84160 - 1.83320i) q^{85} +(-7.52653 - 2.01673i) q^{86} +6.15482i q^{87} +(2.30679 - 1.33183i) q^{88} +(4.38711 + 4.38711i) q^{89} +1.35033 q^{90} +(8.72872 - 3.84830i) q^{91} -0.262474 q^{92} +(0.308337 + 0.308337i) q^{93} +(4.97760 - 2.87382i) q^{94} +9.32344i q^{95} +(-0.965926 - 0.258819i) q^{96} +(-18.5733 - 4.97669i) q^{97} +(-4.75565 + 5.13652i) q^{98} +(1.88349 - 1.88349i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q + 4q^{7} + 20q^{9} + O(q^{10}) \) \( 40q + 4q^{7} + 20q^{9} + 8q^{11} - 20q^{12} + 4q^{14} - 40q^{16} + 16q^{17} + 4q^{19} + 4q^{21} - 4q^{22} - 24q^{25} + 8q^{26} - 4q^{28} - 12q^{29} - 8q^{33} - 8q^{34} - 32q^{35} + 40q^{37} + 8q^{38} + 20q^{39} + 20q^{41} + 12q^{42} - 24q^{43} - 4q^{44} + 32q^{46} + 4q^{47} + 32q^{49} - 16q^{50} + 24q^{51} + 16q^{52} - 4q^{53} + 24q^{55} + 12q^{56} + 8q^{57} + 12q^{58} + 24q^{59} + 60q^{61} + 32q^{62} - 4q^{63} + 44q^{65} - 12q^{67} - 8q^{69} - 24q^{70} - 28q^{71} + 60q^{73} - 40q^{74} - 72q^{75} + 4q^{76} - 12q^{77} + 4q^{78} - 20q^{81} - 24q^{82} + 60q^{83} - 8q^{84} - 4q^{85} - 20q^{86} - 36q^{89} - 16q^{92} - 24q^{93} - 48q^{97} - 88q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(1\) \(e\left(\frac{11}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.707107 0.707107i −0.500000 0.500000i
\(3\) −0.866025 + 0.500000i −0.500000 + 0.288675i
\(4\) 1.00000i 0.500000i
\(5\) −1.30432 0.349490i −0.583308 0.156297i −0.0449150 0.998991i \(-0.514302\pi\)
−0.538393 + 0.842694i \(0.680968\pi\)
\(6\) 0.965926 + 0.258819i 0.394338 + 0.105662i
\(7\) −1.83449 + 1.90648i −0.693371 + 0.720581i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) 0.675164 + 1.16942i 0.213506 + 0.369802i
\(11\) 2.57289 + 0.689405i 0.775757 + 0.207863i 0.624913 0.780694i \(-0.285134\pi\)
0.150843 + 0.988558i \(0.451801\pi\)
\(12\) −0.500000 0.866025i −0.144338 0.250000i
\(13\) −3.33563 1.36878i −0.925138 0.379632i
\(14\) 2.64526 0.0509058i 0.706976 0.0136051i
\(15\) 1.30432 0.349490i 0.336773 0.0902381i
\(16\) −1.00000 −0.250000
\(17\) 5.24536 1.27219 0.636093 0.771613i \(-0.280550\pi\)
0.636093 + 0.771613i \(0.280550\pi\)
\(18\) −0.965926 + 0.258819i −0.227671 + 0.0610042i
\(19\) −1.78704 6.66931i −0.409974 1.53004i −0.794694 0.607011i \(-0.792369\pi\)
0.384720 0.923033i \(-0.374298\pi\)
\(20\) 0.349490 1.30432i 0.0781485 0.291654i
\(21\) 0.635473 2.56830i 0.138672 0.560449i
\(22\) −1.33183 2.30679i −0.283947 0.491810i
\(23\) 0.262474i 0.0547296i 0.999626 + 0.0273648i \(0.00871157\pi\)
−0.999626 + 0.0273648i \(0.991288\pi\)
\(24\) −0.258819 + 0.965926i −0.0528312 + 0.197169i
\(25\) −2.75103 1.58831i −0.550206 0.317662i
\(26\) 1.39077 + 3.32652i 0.272753 + 0.652385i
\(27\) 1.00000i 0.192450i
\(28\) −1.90648 1.83449i −0.360291 0.346685i
\(29\) 3.07741 5.33023i 0.571461 0.989799i −0.424956 0.905214i \(-0.639710\pi\)
0.996416 0.0845847i \(-0.0269564\pi\)
\(30\) −1.16942 0.675164i −0.213506 0.123267i
\(31\) −0.112859 0.421196i −0.0202701 0.0756491i 0.955050 0.296445i \(-0.0958012\pi\)
−0.975320 + 0.220796i \(0.929135\pi\)
\(32\) 0.707107 + 0.707107i 0.125000 + 0.125000i
\(33\) −2.57289 + 0.689405i −0.447883 + 0.120010i
\(34\) −3.70903 3.70903i −0.636093 0.636093i
\(35\) 3.05905 1.84551i 0.517073 0.311949i
\(36\) 0.866025 + 0.500000i 0.144338 + 0.0833333i
\(37\) 1.94672 1.94672i 0.320039 0.320039i −0.528743 0.848782i \(-0.677336\pi\)
0.848782 + 0.528743i \(0.177336\pi\)
\(38\) −3.45229 + 5.97954i −0.560035 + 0.970009i
\(39\) 3.57313 0.482416i 0.572159 0.0772484i
\(40\) −1.16942 + 0.675164i −0.184901 + 0.106753i
\(41\) −2.81615 10.5100i −0.439808 1.64139i −0.729291 0.684203i \(-0.760150\pi\)
0.289483 0.957183i \(-0.406517\pi\)
\(42\) −2.26541 + 1.36672i −0.349560 + 0.210889i
\(43\) 6.74810 3.89602i 1.02908 0.594137i 0.112356 0.993668i \(-0.464160\pi\)
0.916720 + 0.399531i \(0.130827\pi\)
\(44\) −0.689405 + 2.57289i −0.103932 + 0.387878i
\(45\) −0.954826 + 0.954826i −0.142337 + 0.142337i
\(46\) 0.185597 0.185597i 0.0273648 0.0273648i
\(47\) −1.48760 + 5.55179i −0.216988 + 0.809812i 0.768469 + 0.639887i \(0.221019\pi\)
−0.985457 + 0.169924i \(0.945648\pi\)
\(48\) 0.866025 0.500000i 0.125000 0.0721688i
\(49\) −0.269318 6.99482i −0.0384740 0.999260i
\(50\) 0.822169 + 3.06837i 0.116272 + 0.433934i
\(51\) −4.54261 + 2.62268i −0.636093 + 0.367248i
\(52\) 1.36878 3.33563i 0.189816 0.462569i
\(53\) 0.878238 1.52115i 0.120635 0.208946i −0.799383 0.600822i \(-0.794840\pi\)
0.920018 + 0.391875i \(0.128174\pi\)
\(54\) 0.707107 0.707107i 0.0962250 0.0962250i
\(55\) −3.11493 1.79840i −0.420017 0.242497i
\(56\) 0.0509058 + 2.64526i 0.00680257 + 0.353488i
\(57\) 4.88227 + 4.88227i 0.646673 + 0.646673i
\(58\) −5.94510 + 1.59298i −0.780630 + 0.209169i
\(59\) −6.09059 6.09059i −0.792927 0.792927i 0.189042 0.981969i \(-0.439462\pi\)
−0.981969 + 0.189042i \(0.939462\pi\)
\(60\) 0.349490 + 1.30432i 0.0451190 + 0.168387i
\(61\) −7.62133 4.40017i −0.975811 0.563385i −0.0748080 0.997198i \(-0.523834\pi\)
−0.901003 + 0.433813i \(0.857168\pi\)
\(62\) −0.218027 + 0.377634i −0.0276895 + 0.0479596i
\(63\) 0.733815 + 2.54195i 0.0924520 + 0.320256i
\(64\) 1.00000i 0.125000i
\(65\) 3.87234 + 2.95110i 0.480305 + 0.366038i
\(66\) 2.30679 + 1.33183i 0.283947 + 0.163937i
\(67\) −2.68089 + 10.0052i −0.327523 + 1.22233i 0.584228 + 0.811589i \(0.301397\pi\)
−0.911751 + 0.410743i \(0.865269\pi\)
\(68\) 5.24536i 0.636093i
\(69\) −0.131237 0.227309i −0.0157991 0.0273648i
\(70\) −3.46805 0.858097i −0.414511 0.102562i
\(71\) 1.08417 4.04618i 0.128667 0.480193i −0.871276 0.490793i \(-0.836707\pi\)
0.999944 + 0.0105994i \(0.00337396\pi\)
\(72\) −0.258819 0.965926i −0.0305021 0.113835i
\(73\) 4.86981 1.30486i 0.569968 0.152723i 0.0376862 0.999290i \(-0.488001\pi\)
0.532282 + 0.846567i \(0.321335\pi\)
\(74\) −2.75308 −0.320039
\(75\) 3.17662 0.366804
\(76\) 6.66931 1.78704i 0.765022 0.204987i
\(77\) −6.03427 + 3.64046i −0.687669 + 0.414869i
\(78\) −2.86771 2.18547i −0.324704 0.247455i
\(79\) 3.12948 + 5.42042i 0.352094 + 0.609845i 0.986616 0.163060i \(-0.0521364\pi\)
−0.634522 + 0.772905i \(0.718803\pi\)
\(80\) 1.30432 + 0.349490i 0.145827 + 0.0390742i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) −5.44038 + 9.42301i −0.600789 + 1.04060i
\(83\) 9.32218 9.32218i 1.02324 1.02324i 0.0235188 0.999723i \(-0.492513\pi\)
0.999723 0.0235188i \(-0.00748696\pi\)
\(84\) 2.56830 + 0.635473i 0.280225 + 0.0693358i
\(85\) −6.84160 1.83320i −0.742076 0.198839i
\(86\) −7.52653 2.01673i −0.811606 0.217469i
\(87\) 6.15482i 0.659866i
\(88\) 2.30679 1.33183i 0.245905 0.141973i
\(89\) 4.38711 + 4.38711i 0.465033 + 0.465033i 0.900301 0.435268i \(-0.143346\pi\)
−0.435268 + 0.900301i \(0.643346\pi\)
\(90\) 1.35033 0.142337
\(91\) 8.72872 3.84830i 0.915019 0.403411i
\(92\) −0.262474 −0.0273648
\(93\) 0.308337 + 0.308337i 0.0319731 + 0.0319731i
\(94\) 4.97760 2.87382i 0.513400 0.296412i
\(95\) 9.32344i 0.956565i
\(96\) −0.965926 0.258819i −0.0985844 0.0264156i
\(97\) −18.5733 4.97669i −1.88583 0.505306i −0.999072 0.0430700i \(-0.986286\pi\)
−0.886757 0.462236i \(-0.847047\pi\)
\(98\) −4.75565 + 5.13652i −0.480393 + 0.518867i
\(99\) 1.88349 1.88349i 0.189298 0.189298i
\(100\) 1.58831 2.75103i 0.158831 0.275103i
\(101\) 1.56497 + 2.71061i 0.155721 + 0.269716i 0.933321 0.359043i \(-0.116897\pi\)
−0.777601 + 0.628759i \(0.783563\pi\)
\(102\) 5.06662 + 1.35760i 0.501671 + 0.134422i
\(103\) 5.32608 + 9.22505i 0.524795 + 0.908971i 0.999583 + 0.0288710i \(0.00919119\pi\)
−0.474789 + 0.880100i \(0.657475\pi\)
\(104\) −3.32652 + 1.39077i −0.326192 + 0.136376i
\(105\) −1.72645 + 3.12779i −0.168485 + 0.305241i
\(106\) −1.69662 + 0.454609i −0.164791 + 0.0441556i
\(107\) 9.01487 0.871500 0.435750 0.900068i \(-0.356483\pi\)
0.435750 + 0.900068i \(0.356483\pi\)
\(108\) −1.00000 −0.0962250
\(109\) −12.0575 + 3.23079i −1.15490 + 0.309453i −0.784925 0.619590i \(-0.787299\pi\)
−0.369970 + 0.929044i \(0.620632\pi\)
\(110\) 0.930922 + 3.47425i 0.0887600 + 0.331257i
\(111\) −0.712550 + 2.65927i −0.0676323 + 0.252407i
\(112\) 1.83449 1.90648i 0.173343 0.180145i
\(113\) −0.0386809 0.0669973i −0.00363879 0.00630257i 0.864200 0.503148i \(-0.167825\pi\)
−0.867839 + 0.496845i \(0.834492\pi\)
\(114\) 6.90457i 0.646673i
\(115\) 0.0917321 0.342349i 0.00855406 0.0319242i
\(116\) 5.33023 + 3.07741i 0.494899 + 0.285730i
\(117\) −2.85322 + 2.20435i −0.263780 + 0.203792i
\(118\) 8.61339i 0.792927i
\(119\) −9.62253 + 10.0002i −0.882096 + 0.916713i
\(120\) 0.675164 1.16942i 0.0616337 0.106753i
\(121\) −3.38178 1.95247i −0.307434 0.177497i
\(122\) 2.27770 + 8.50048i 0.206213 + 0.769598i
\(123\) 7.69386 + 7.69386i 0.693732 + 0.693732i
\(124\) 0.421196 0.112859i 0.0378246 0.0101351i
\(125\) 7.80724 + 7.80724i 0.698301 + 0.698301i
\(126\) 1.27855 2.31632i 0.113902 0.206354i
\(127\) 12.3722 + 7.14308i 1.09785 + 0.633846i 0.935656 0.352913i \(-0.114809\pi\)
0.162197 + 0.986758i \(0.448142\pi\)
\(128\) −0.707107 + 0.707107i −0.0625000 + 0.0625000i
\(129\) −3.89602 + 6.74810i −0.343025 + 0.594137i
\(130\) −0.651419 4.82490i −0.0571333 0.423172i
\(131\) 10.4094 6.00988i 0.909475 0.525086i 0.0292128 0.999573i \(-0.490700\pi\)
0.880262 + 0.474488i \(0.157367\pi\)
\(132\) −0.689405 2.57289i −0.0600050 0.223942i
\(133\) 15.9932 + 8.82781i 1.38678 + 0.765468i
\(134\) 8.97043 5.17908i 0.774928 0.447405i
\(135\) 0.349490 1.30432i 0.0300794 0.112258i
\(136\) 3.70903 3.70903i 0.318046 0.318046i
\(137\) −2.26186 + 2.26186i −0.193244 + 0.193244i −0.797096 0.603852i \(-0.793632\pi\)
0.603852 + 0.797096i \(0.293632\pi\)
\(138\) −0.0679332 + 0.253530i −0.00578286 + 0.0215819i
\(139\) 5.23898 3.02473i 0.444365 0.256554i −0.261083 0.965316i \(-0.584079\pi\)
0.705447 + 0.708762i \(0.250746\pi\)
\(140\) 1.84551 + 3.05905i 0.155974 + 0.258537i
\(141\) −1.48760 5.55179i −0.125278 0.467545i
\(142\) −3.62770 + 2.09446i −0.304430 + 0.175763i
\(143\) −7.63858 5.82133i −0.638770 0.486804i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) −5.87678 + 5.87678i −0.488040 + 0.488040i
\(146\) −4.36615 2.52080i −0.361345 0.208623i
\(147\) 3.73064 + 5.92303i 0.307698 + 0.488523i
\(148\) 1.94672 + 1.94672i 0.160020 + 0.160020i
\(149\) 2.65415 0.711179i 0.217437 0.0582620i −0.148456 0.988919i \(-0.547430\pi\)
0.365893 + 0.930657i \(0.380764\pi\)
\(150\) −2.24621 2.24621i −0.183402 0.183402i
\(151\) 3.25321 + 12.1411i 0.264742 + 0.988032i 0.962408 + 0.271608i \(0.0875556\pi\)
−0.697665 + 0.716424i \(0.745778\pi\)
\(152\) −5.97954 3.45229i −0.485004 0.280017i
\(153\) 2.62268 4.54261i 0.212031 0.367248i
\(154\) 6.84107 + 1.69268i 0.551269 + 0.136400i
\(155\) 0.588817i 0.0472949i
\(156\) 0.482416 + 3.57313i 0.0386242 + 0.286080i
\(157\) −4.58939 2.64969i −0.366273 0.211468i 0.305556 0.952174i \(-0.401158\pi\)
−0.671829 + 0.740706i \(0.734491\pi\)
\(158\) 1.61994 6.04569i 0.128875 0.480969i
\(159\) 1.75648i 0.139298i
\(160\) −0.675164 1.16942i −0.0533764 0.0924506i
\(161\) −0.500401 0.481505i −0.0394371 0.0379479i
\(162\) −0.258819 + 0.965926i −0.0203347 + 0.0758903i
\(163\) −6.38996 23.8476i −0.500500 1.86789i −0.496742 0.867898i \(-0.665470\pi\)
−0.00375811 0.999993i \(-0.501196\pi\)
\(164\) 10.5100 2.81615i 0.820693 0.219904i
\(165\) 3.59681 0.280011
\(166\) −13.1836 −1.02324
\(167\) −23.6159 + 6.32787i −1.82745 + 0.489665i −0.997658 0.0684012i \(-0.978210\pi\)
−0.829796 + 0.558066i \(0.811544\pi\)
\(168\) −1.36672 2.26541i −0.105444 0.174780i
\(169\) 9.25287 + 9.13150i 0.711759 + 0.702423i
\(170\) 3.54147 + 6.13401i 0.271619 + 0.470457i
\(171\) −6.66931 1.78704i −0.510015 0.136658i
\(172\) 3.89602 + 6.74810i 0.297069 + 0.514538i
\(173\) 0.169053 0.292808i 0.0128528 0.0222618i −0.859527 0.511090i \(-0.829242\pi\)
0.872380 + 0.488828i \(0.162575\pi\)
\(174\) 4.35211 4.35211i 0.329933 0.329933i
\(175\) 8.07480 2.33105i 0.610398 0.176211i
\(176\) −2.57289 0.689405i −0.193939 0.0519658i
\(177\) 8.31990 + 2.22931i 0.625362 + 0.167565i
\(178\) 6.20432i 0.465033i
\(179\) 4.80858 2.77624i 0.359410 0.207506i −0.309412 0.950928i \(-0.600132\pi\)
0.668822 + 0.743423i \(0.266799\pi\)
\(180\) −0.954826 0.954826i −0.0711685 0.0711685i
\(181\) −8.08476 −0.600935 −0.300468 0.953792i \(-0.597143\pi\)
−0.300468 + 0.953792i \(0.597143\pi\)
\(182\) −8.89330 3.45098i −0.659215 0.255804i
\(183\) 8.80035 0.650541
\(184\) 0.185597 + 0.185597i 0.0136824 + 0.0136824i
\(185\) −3.21950 + 1.85878i −0.236703 + 0.136660i
\(186\) 0.436055i 0.0319731i
\(187\) 13.4957 + 3.61617i 0.986906 + 0.264441i
\(188\) −5.55179 1.48760i −0.404906 0.108494i
\(189\) −1.90648 1.83449i −0.138676 0.133439i
\(190\) 6.59267 6.59267i 0.478282 0.478282i
\(191\) 6.68460 11.5781i 0.483681 0.837759i −0.516144 0.856502i \(-0.672633\pi\)
0.999824 + 0.0187426i \(0.00596631\pi\)
\(192\) 0.500000 + 0.866025i 0.0360844 + 0.0625000i
\(193\) −9.13181 2.44686i −0.657322 0.176129i −0.0852847 0.996357i \(-0.527180\pi\)
−0.572037 + 0.820228i \(0.693847\pi\)
\(194\) 9.61423 + 16.6523i 0.690261 + 1.19557i
\(195\) −4.82909 0.619553i −0.345819 0.0443671i
\(196\) 6.99482 0.269318i 0.499630 0.0192370i
\(197\) 11.1496 2.98754i 0.794379 0.212853i 0.161265 0.986911i \(-0.448443\pi\)
0.633115 + 0.774058i \(0.281776\pi\)
\(198\) −2.66366 −0.189298
\(199\) −2.25391 −0.159775 −0.0798877 0.996804i \(-0.525456\pi\)
−0.0798877 + 0.996804i \(0.525456\pi\)
\(200\) −3.06837 + 0.822169i −0.216967 + 0.0581361i
\(201\) −2.68089 10.0052i −0.189095 0.705714i
\(202\) 0.810090 3.02330i 0.0569977 0.212718i
\(203\) 4.51650 + 15.6453i 0.316996 + 1.09808i
\(204\) −2.62268 4.54261i −0.183624 0.318046i
\(205\) 14.6926i 1.02617i
\(206\) 2.75698 10.2892i 0.192088 0.716883i
\(207\) 0.227309 + 0.131237i 0.0157991 + 0.00912160i
\(208\) 3.33563 + 1.36878i 0.231284 + 0.0949079i
\(209\) 18.3914i 1.27216i
\(210\) 3.43247 0.990891i 0.236863 0.0683780i
\(211\) −11.1990 + 19.3972i −0.770968 + 1.33536i 0.166065 + 0.986115i \(0.446894\pi\)
−0.937033 + 0.349241i \(0.886439\pi\)
\(212\) 1.52115 + 0.878238i 0.104473 + 0.0603176i
\(213\) 1.08417 + 4.04618i 0.0742861 + 0.277240i
\(214\) −6.37447 6.37447i −0.435750 0.435750i
\(215\) −10.1633 + 2.72324i −0.693130 + 0.185724i
\(216\) 0.707107 + 0.707107i 0.0481125 + 0.0481125i
\(217\) 1.01004 + 0.557515i 0.0685660 + 0.0378466i
\(218\) 10.8104 + 6.24140i 0.732174 + 0.422721i
\(219\) −3.56495 + 3.56495i −0.240897 + 0.240897i
\(220\) 1.79840 3.11493i 0.121248 0.210008i
\(221\) −17.4966 7.17975i −1.17695 0.482962i
\(222\) 2.38424 1.37654i 0.160020 0.0923874i
\(223\) −4.52520 16.8883i −0.303030 1.13092i −0.934628 0.355627i \(-0.884267\pi\)
0.631598 0.775296i \(-0.282399\pi\)
\(224\) −2.64526 + 0.0509058i −0.176744 + 0.00340128i
\(225\) −2.75103 + 1.58831i −0.183402 + 0.105887i
\(226\) −0.0200227 + 0.0747257i −0.00133189 + 0.00497068i
\(227\) −17.5722 + 17.5722i −1.16631 + 1.16631i −0.183240 + 0.983068i \(0.558658\pi\)
−0.983068 + 0.183240i \(0.941342\pi\)
\(228\) −4.88227 + 4.88227i −0.323336 + 0.323336i
\(229\) 0.302393 1.12855i 0.0199827 0.0745765i −0.955214 0.295914i \(-0.904376\pi\)
0.975197 + 0.221338i \(0.0710424\pi\)
\(230\) −0.306942 + 0.177213i −0.0202391 + 0.0116851i
\(231\) 3.40560 6.16987i 0.224072 0.405948i
\(232\) −1.59298 5.94510i −0.104585 0.390315i
\(233\) −10.0524 + 5.80374i −0.658553 + 0.380216i −0.791725 0.610877i \(-0.790817\pi\)
0.133172 + 0.991093i \(0.457484\pi\)
\(234\) 3.57624 + 0.458817i 0.233786 + 0.0299938i
\(235\) 3.88060 6.72139i 0.253142 0.438455i
\(236\) 6.09059 6.09059i 0.396464 0.396464i
\(237\) −5.42042 3.12948i −0.352094 0.203282i
\(238\) 13.8753 0.267019i 0.899404 0.0173083i
\(239\) −18.3896 18.3896i −1.18952 1.18952i −0.977199 0.212325i \(-0.931897\pi\)
−0.212325 0.977199i \(-0.568103\pi\)
\(240\) −1.30432 + 0.349490i −0.0841933 + 0.0225595i
\(241\) −21.0520 21.0520i −1.35608 1.35608i −0.878691 0.477390i \(-0.841583\pi\)
−0.477390 0.878691i \(-0.658417\pi\)
\(242\) 1.01067 + 3.77188i 0.0649685 + 0.242466i
\(243\) 0.866025 + 0.500000i 0.0555556 + 0.0320750i
\(244\) 4.40017 7.62133i 0.281692 0.487905i
\(245\) −2.09335 + 9.21758i −0.133739 + 0.588889i
\(246\) 10.8808i 0.693732i
\(247\) −3.16793 + 24.6924i −0.201571 + 1.57114i
\(248\) −0.377634 0.218027i −0.0239798 0.0138447i
\(249\) −3.41215 + 12.7343i −0.216237 + 0.807006i
\(250\) 11.0411i 0.698301i
\(251\) 1.09799 + 1.90177i 0.0693042 + 0.120038i 0.898595 0.438779i \(-0.144589\pi\)
−0.829291 + 0.558817i \(0.811255\pi\)
\(252\) −2.54195 + 0.733815i −0.160128 + 0.0462260i
\(253\) −0.180951 + 0.675317i −0.0113763 + 0.0424568i
\(254\) −3.69753 13.7994i −0.232004 0.865849i
\(255\) 6.84160 1.83320i 0.428438 0.114800i
\(256\) 1.00000 0.0625000
\(257\) −9.37596 −0.584857 −0.292428 0.956287i \(-0.594463\pi\)
−0.292428 + 0.956287i \(0.594463\pi\)
\(258\) 7.52653 2.01673i 0.468581 0.125556i
\(259\) 0.140148 + 7.28262i 0.00870836 + 0.452520i
\(260\) −2.95110 + 3.87234i −0.183019 + 0.240152i
\(261\) −3.07741 5.33023i −0.190487 0.329933i
\(262\) −11.6102 3.11094i −0.717280 0.192195i
\(263\) −12.3607 21.4093i −0.762192 1.32016i −0.941718 0.336402i \(-0.890790\pi\)
0.179526 0.983753i \(-0.442543\pi\)
\(264\) −1.33183 + 2.30679i −0.0819683 + 0.141973i
\(265\) −1.67713 + 1.67713i −0.103025 + 0.103025i
\(266\) −5.06668 17.5511i −0.310658 1.07613i
\(267\) −5.99291 1.60580i −0.366760 0.0982731i
\(268\) −10.0052 2.68089i −0.611166 0.163761i
\(269\) 19.2352i 1.17279i −0.810025 0.586395i \(-0.800547\pi\)
0.810025 0.586395i \(-0.199453\pi\)
\(270\) −1.16942 + 0.675164i −0.0711685 + 0.0410892i
\(271\) 0.615634 + 0.615634i 0.0373971 + 0.0373971i 0.725558 0.688161i \(-0.241582\pi\)
−0.688161 + 0.725558i \(0.741582\pi\)
\(272\) −5.24536 −0.318046
\(273\) −5.63515 + 7.69708i −0.341055 + 0.465849i
\(274\) 3.19876 0.193244
\(275\) −5.98312 5.98312i −0.360796 0.360796i
\(276\) 0.227309 0.131237i 0.0136824 0.00789954i
\(277\) 21.1989i 1.27372i −0.770980 0.636859i \(-0.780233\pi\)
0.770980 0.636859i \(-0.219767\pi\)
\(278\) −5.84333 1.56571i −0.350459 0.0939053i
\(279\) −0.421196 0.112859i −0.0252164 0.00675671i
\(280\) 0.858097 3.46805i 0.0512811 0.207256i
\(281\) 20.7859 20.7859i 1.23999 1.23999i 0.279980 0.960006i \(-0.409672\pi\)
0.960006 0.279980i \(-0.0903278\pi\)
\(282\) −2.87382 + 4.97760i −0.171133 + 0.296412i
\(283\) 7.09128 + 12.2825i 0.421533 + 0.730116i 0.996090 0.0883485i \(-0.0281589\pi\)
−0.574557 + 0.818465i \(0.694826\pi\)
\(284\) 4.04618 + 1.08417i 0.240097 + 0.0643337i
\(285\) −4.66172 8.07433i −0.276136 0.478282i
\(286\) 1.28499 + 9.51759i 0.0759830 + 0.562787i
\(287\) 25.2033 + 13.9115i 1.48770 + 0.821172i
\(288\) 0.965926 0.258819i 0.0569177 0.0152511i
\(289\) 10.5137 0.618456
\(290\) 8.31102 0.488040
\(291\) 18.5733 4.97669i 1.08878 0.291739i
\(292\) 1.30486 + 4.86981i 0.0763613 + 0.284984i
\(293\) 0.832864 3.10829i 0.0486564 0.181588i −0.937321 0.348467i \(-0.886702\pi\)
0.985977 + 0.166879i \(0.0533689\pi\)
\(294\) 1.55025 6.82618i 0.0904125 0.398111i
\(295\) 5.81545 + 10.0727i 0.338589 + 0.586453i
\(296\) 2.75308i 0.160020i
\(297\) −0.689405 + 2.57289i −0.0400033 + 0.149294i
\(298\) −2.37965 1.37389i −0.137849 0.0795874i
\(299\) 0.359269 0.875516i 0.0207771 0.0506324i
\(300\) 3.17662i 0.183402i
\(301\) −4.95163 + 20.0123i −0.285407 + 1.15349i
\(302\) 6.28472 10.8855i 0.361645 0.626387i
\(303\) −2.71061 1.56497i −0.155721 0.0899053i
\(304\) 1.78704 + 6.66931i 0.102494 + 0.382511i
\(305\) 8.40280 + 8.40280i 0.481143 + 0.481143i
\(306\) −5.06662 + 1.35760i −0.289640 + 0.0776087i
\(307\) −6.69970 6.69970i −0.382372 0.382372i 0.489584 0.871956i \(-0.337149\pi\)
−0.871956 + 0.489584i \(0.837149\pi\)
\(308\) −3.64046 6.03427i −0.207435 0.343835i
\(309\) −9.22505 5.32608i −0.524795 0.302990i
\(310\) 0.416356 0.416356i 0.0236474 0.0236474i
\(311\) −16.2316 + 28.1140i −0.920411 + 1.59420i −0.121631 + 0.992575i \(0.538813\pi\)
−0.798780 + 0.601624i \(0.794521\pi\)
\(312\) 2.18547 2.86771i 0.123728 0.162352i
\(313\) 17.6916 10.2143i 0.999989 0.577344i 0.0917443 0.995783i \(-0.470756\pi\)
0.908245 + 0.418438i \(0.137422\pi\)
\(314\) 1.37158 + 5.11880i 0.0774026 + 0.288871i
\(315\) −0.0687394 3.57197i −0.00387303 0.201258i
\(316\) −5.42042 + 3.12948i −0.304922 + 0.176047i
\(317\) 0.944317 3.52424i 0.0530381 0.197941i −0.934323 0.356427i \(-0.883995\pi\)
0.987361 + 0.158486i \(0.0506614\pi\)
\(318\) 1.24202 1.24202i 0.0696488 0.0696488i
\(319\) 11.5925 11.5925i 0.649057 0.649057i
\(320\) −0.349490 + 1.30432i −0.0195371 + 0.0729135i
\(321\) −7.80711 + 4.50743i −0.435750 + 0.251580i
\(322\) 0.0133614 + 0.694312i 0.000744603 + 0.0386925i
\(323\) −9.37364 34.9829i −0.521563 1.94650i
\(324\) 0.866025 0.500000i 0.0481125 0.0277778i
\(325\) 7.00237 + 9.06357i 0.388422 + 0.502756i
\(326\) −12.3444 + 21.3812i −0.683696 + 1.18420i
\(327\) 8.82668 8.82668i 0.488116 0.488116i
\(328\) −9.42301 5.44038i −0.520299 0.300395i
\(329\) −7.85539 13.0208i −0.433082 0.717858i
\(330\) −2.54333 2.54333i −0.140006 0.140006i
\(331\) −2.18594 + 0.585722i −0.120150 + 0.0321942i −0.318393 0.947959i \(-0.603143\pi\)
0.198243 + 0.980153i \(0.436477\pi\)
\(332\) 9.32218 + 9.32218i 0.511621 + 0.511621i
\(333\) −0.712550 2.65927i −0.0390475 0.145727i
\(334\) 21.1734 + 12.2245i 1.15856 + 0.668895i
\(335\) 6.99346 12.1130i 0.382093 0.661805i
\(336\) −0.635473 + 2.56830i −0.0346679 + 0.140112i
\(337\) 17.8521i 0.972466i 0.873829 + 0.486233i \(0.161629\pi\)
−0.873829 + 0.486233i \(0.838371\pi\)
\(338\) −0.0858213 12.9997i −0.00466806 0.707091i
\(339\) 0.0669973 + 0.0386809i 0.00363879 + 0.00210086i
\(340\) 1.83320 6.84160i 0.0994193 0.371038i
\(341\) 1.16150i 0.0628987i
\(342\) 3.45229 + 5.97954i 0.186678 + 0.323336i
\(343\) 13.8295 + 12.3184i 0.746724 + 0.665134i
\(344\) 2.01673 7.52653i 0.108735 0.405803i
\(345\) 0.0917321 + 0.342349i 0.00493869 + 0.0184314i
\(346\) −0.326585 + 0.0875081i −0.0175573 + 0.00470446i
\(347\) 15.6971 0.842664 0.421332 0.906906i \(-0.361563\pi\)
0.421332 + 0.906906i \(0.361563\pi\)
\(348\) −6.15482 −0.329933
\(349\) 28.8777 7.73776i 1.54579 0.414193i 0.617658 0.786447i \(-0.288082\pi\)
0.928131 + 0.372254i \(0.121415\pi\)
\(350\) −7.35805 4.06145i −0.393304 0.217093i
\(351\) 1.36878 3.33563i 0.0730602 0.178043i
\(352\) 1.33183 + 2.30679i 0.0709867 + 0.122952i
\(353\) −25.9664 6.95768i −1.38205 0.370320i −0.510187 0.860064i \(-0.670424\pi\)
−0.871866 + 0.489744i \(0.837090\pi\)
\(354\) −4.30670 7.45942i −0.228898 0.396464i
\(355\) −2.82820 + 4.89859i −0.150105 + 0.259990i
\(356\) −4.38711 + 4.38711i −0.232517 + 0.232517i
\(357\) 3.33328 13.4717i 0.176416 0.712996i
\(358\) −5.36328 1.43709i −0.283458 0.0759523i
\(359\) 29.6332 + 7.94019i 1.56398 + 0.419067i 0.933921 0.357480i \(-0.116364\pi\)
0.630059 + 0.776547i \(0.283031\pi\)
\(360\) 1.35033i 0.0711685i
\(361\) −24.8317 + 14.3366i −1.30693 + 0.754557i
\(362\) 5.71679 + 5.71679i 0.300468 + 0.300468i
\(363\) 3.90494 0.204956
\(364\) 3.84830 + 8.72872i 0.201706 + 0.457509i
\(365\) −6.80781 −0.356337
\(366\) −6.22279 6.22279i −0.325270 0.325270i
\(367\) 13.0369 7.52686i 0.680521 0.392899i −0.119530 0.992831i \(-0.538139\pi\)
0.800051 + 0.599931i \(0.204805\pi\)
\(368\) 0.262474i 0.0136824i
\(369\) −10.5100 2.81615i −0.547129 0.146603i
\(370\) 3.59089 + 0.962176i 0.186681 + 0.0500212i
\(371\) 1.28893 + 4.46487i 0.0669178 + 0.231805i
\(372\) −0.308337 + 0.308337i −0.0159865 + 0.0159865i
\(373\) −5.31715 + 9.20957i −0.275311 + 0.476853i −0.970214 0.242251i \(-0.922114\pi\)
0.694902 + 0.719104i \(0.255448\pi\)
\(374\) −6.98591 12.0999i −0.361233 0.625674i
\(375\) −10.6649 2.85765i −0.550733 0.147568i
\(376\) 2.87382 + 4.97760i 0.148206 + 0.256700i
\(377\) −17.5610 + 13.5674i −0.904439 + 0.698756i
\(378\) 0.0509058 + 2.64526i 0.00261831 + 0.136058i
\(379\) 1.39615 0.374098i 0.0717156 0.0192161i −0.222783 0.974868i \(-0.571514\pi\)
0.294498 + 0.955652i \(0.404847\pi\)
\(380\) −9.32344 −0.478282
\(381\) −14.2862 −0.731902
\(382\) −12.9137 + 3.46020i −0.660720 + 0.177039i
\(383\) 6.74887 + 25.1871i 0.344851 + 1.28700i 0.892786 + 0.450480i \(0.148747\pi\)
−0.547935 + 0.836521i \(0.684586\pi\)
\(384\) 0.258819 0.965926i 0.0132078 0.0492922i
\(385\) 9.14291 2.63939i 0.465966 0.134516i
\(386\) 4.72697 + 8.18735i 0.240596 + 0.416725i
\(387\) 7.79203i 0.396091i
\(388\) 4.97669 18.5733i 0.252653 0.942914i
\(389\) 4.97819 + 2.87416i 0.252404 + 0.145726i 0.620865 0.783918i \(-0.286782\pi\)
−0.368460 + 0.929643i \(0.620115\pi\)
\(390\) 2.97660 + 3.85278i 0.150726 + 0.195093i
\(391\) 1.37677i 0.0696262i
\(392\) −5.13652 4.75565i −0.259433 0.240196i
\(393\) −6.00988 + 10.4094i −0.303158 + 0.525086i
\(394\) −9.99650 5.77148i −0.503616 0.290763i
\(395\) −2.18745 8.16367i −0.110062 0.410759i
\(396\) 1.88349 + 1.88349i 0.0946489 + 0.0946489i
\(397\) 15.2138 4.07652i 0.763558 0.204595i 0.144034 0.989573i \(-0.453993\pi\)
0.619524 + 0.784978i \(0.287326\pi\)
\(398\) 1.59375 + 1.59375i 0.0798877 + 0.0798877i
\(399\) −18.2644 + 0.351483i −0.914364 + 0.0175961i
\(400\) 2.75103 + 1.58831i 0.137551 + 0.0794154i
\(401\) 13.5140 13.5140i 0.674857 0.674857i −0.283975 0.958832i \(-0.591653\pi\)
0.958832 + 0.283975i \(0.0916532\pi\)
\(402\) −5.17908 + 8.97043i −0.258309 + 0.447405i
\(403\) −0.200069 + 1.55944i −0.00996615 + 0.0776810i
\(404\) −2.71061 + 1.56497i −0.134858 + 0.0778603i
\(405\) 0.349490 + 1.30432i 0.0173663 + 0.0648120i
\(406\) 7.86921 14.2565i 0.390543 0.707539i
\(407\) 6.35079 3.66663i 0.314797 0.181748i
\(408\) −1.35760 + 5.06662i −0.0672111 + 0.250835i
\(409\) −12.6759 + 12.6759i −0.626784 + 0.626784i −0.947258 0.320473i \(-0.896158\pi\)
0.320473 + 0.947258i \(0.396158\pi\)
\(410\) 10.3892 10.3892i 0.513087 0.513087i
\(411\) 0.827900 3.08976i 0.0408373 0.152407i
\(412\) −9.22505 + 5.32608i −0.454485 + 0.262397i
\(413\) 22.7847 0.438471i 1.12116 0.0215758i
\(414\) −0.0679332 0.253530i −0.00333874 0.0124603i
\(415\) −15.4171 + 8.90106i −0.756795 + 0.436936i
\(416\) −1.39077 3.32652i −0.0681882 0.163096i
\(417\) −3.02473 + 5.23898i −0.148122 + 0.256554i
\(418\) −13.0047 + 13.0047i −0.636080 + 0.636080i
\(419\) 4.94418 + 2.85452i 0.241539 + 0.139452i 0.615884 0.787837i \(-0.288799\pi\)
−0.374345 + 0.927290i \(0.622132\pi\)
\(420\) −3.12779 1.72645i −0.152620 0.0842424i
\(421\) 11.2327 + 11.2327i 0.547449 + 0.547449i 0.925702 0.378253i \(-0.123475\pi\)
−0.378253 + 0.925702i \(0.623475\pi\)
\(422\) 21.6347 5.79701i 1.05316 0.282194i
\(423\) 4.06419 + 4.06419i 0.197608 + 0.197608i
\(424\) −0.454609 1.69662i −0.0220778 0.0823954i
\(425\) −14.4301 8.33124i −0.699964 0.404124i
\(426\) 2.09446 3.62770i 0.101477 0.175763i
\(427\) 22.3701 6.45783i 1.08256 0.312516i
\(428\) 9.01487i 0.435750i
\(429\) 9.52587 + 1.22213i 0.459913 + 0.0590050i
\(430\) 9.11215 + 5.26090i 0.439427 + 0.253703i
\(431\) −4.67687 + 17.4543i −0.225277 + 0.840744i 0.757017 + 0.653395i \(0.226656\pi\)
−0.982293 + 0.187349i \(0.940011\pi\)
\(432\) 1.00000i 0.0481125i
\(433\) 8.06894 + 13.9758i 0.387768 + 0.671635i 0.992149 0.125061i \(-0.0399127\pi\)
−0.604381 + 0.796696i \(0.706579\pi\)
\(434\) −0.319983 1.10843i −0.0153597 0.0532063i
\(435\) 2.15105 8.02783i 0.103135 0.384905i
\(436\) −3.23079 12.0575i −0.154727 0.577448i
\(437\) 1.75052 0.469050i 0.0837387 0.0224377i
\(438\) 5.04160 0.240897
\(439\) −10.4334 −0.497957 −0.248979 0.968509i \(-0.580095\pi\)
−0.248979 + 0.968509i \(0.580095\pi\)
\(440\) −3.47425 + 0.930922i −0.165628 + 0.0443800i
\(441\) −6.19235 3.26417i −0.294874 0.155437i
\(442\) 7.29510 + 17.4488i 0.346992 + 0.829954i
\(443\) 0.835906 + 1.44783i 0.0397151 + 0.0687885i 0.885200 0.465211i \(-0.154022\pi\)
−0.845485 + 0.534000i \(0.820688\pi\)
\(444\) −2.65927 0.712550i −0.126204 0.0338161i
\(445\) −4.18893 7.25544i −0.198574 0.343941i
\(446\) −8.74202 + 15.1416i −0.413947 + 0.716977i
\(447\) −1.94298 + 1.94298i −0.0918996 + 0.0918996i
\(448\) 1.90648 + 1.83449i 0.0900726 + 0.0866713i
\(449\) −0.795385 0.213123i −0.0375366 0.0100579i 0.240002 0.970772i \(-0.422852\pi\)
−0.277538 + 0.960715i \(0.589519\pi\)
\(450\) 3.06837 + 0.822169i 0.144645 + 0.0387574i
\(451\) 28.9826i 1.36474i
\(452\) 0.0669973 0.0386809i 0.00315129 0.00181940i
\(453\) −8.88793 8.88793i −0.417592 0.417592i
\(454\) 24.8508 1.16631
\(455\) −12.7300 + 1.96879i −0.596790 + 0.0922983i
\(456\) 6.90457 0.323336
\(457\) 11.3386 + 11.3386i 0.530399 + 0.530399i 0.920691 0.390292i \(-0.127626\pi\)
−0.390292 + 0.920691i \(0.627626\pi\)
\(458\) −1.01183 + 0.584179i −0.0472796 + 0.0272969i
\(459\) 5.24536i 0.244832i
\(460\) 0.342349 + 0.0917321i 0.0159621 + 0.00427703i
\(461\) 14.6637 + 3.92914i 0.682959 + 0.182998i 0.583585 0.812052i \(-0.301649\pi\)
0.0993736 + 0.995050i \(0.468316\pi\)
\(462\) −6.77088 + 1.95463i −0.315010 + 0.0909377i
\(463\) −2.81768 + 2.81768i −0.130948 + 0.130948i −0.769543 0.638595i \(-0.779516\pi\)
0.638595 + 0.769543i \(0.279516\pi\)
\(464\) −3.07741 + 5.33023i −0.142865 + 0.247450i
\(465\) −0.294408 0.509930i −0.0136529 0.0236474i
\(466\) 11.2120 + 3.00424i 0.519384 + 0.139169i
\(467\) −2.28797 3.96288i −0.105875 0.183380i 0.808221 0.588880i \(-0.200431\pi\)
−0.914095 + 0.405500i \(0.867098\pi\)
\(468\) −2.20435 2.85322i −0.101896 0.131890i
\(469\) −14.1567 23.4655i −0.653695 1.08354i
\(470\) −7.49674 + 2.00874i −0.345799 + 0.0926565i
\(471\) 5.29937 0.244182
\(472\) −8.61339 −0.396464
\(473\) 20.0481 5.37187i 0.921811 0.246999i
\(474\) 1.61994 + 6.04569i 0.0744062 + 0.277688i
\(475\) −5.67672 + 21.1858i −0.260466 + 0.972072i
\(476\) −10.0002 9.62253i −0.458356 0.441048i
\(477\) −0.878238 1.52115i −0.0402117 0.0696488i
\(478\) 26.0068i 1.18952i
\(479\) −10.6135 + 39.6102i −0.484944 + 1.80983i 0.0953704 + 0.995442i \(0.469596\pi\)
−0.580314 + 0.814393i \(0.697070\pi\)
\(480\) 1.16942 + 0.675164i 0.0533764 + 0.0308169i
\(481\) −9.15819 + 3.82891i −0.417578 + 0.174583i
\(482\) 29.7721i 1.35608i
\(483\) 0.674112 + 0.166795i 0.0306732 + 0.00758944i
\(484\) 1.95247 3.38178i 0.0887486 0.153717i
\(485\) 22.4861 + 12.9824i 1.02104 + 0.589498i
\(486\) −0.258819 0.965926i −0.0117403 0.0438153i
\(487\) −12.9636 12.9636i −0.587438 0.587438i 0.349499 0.936937i \(-0.386352\pi\)
−0.936937 + 0.349499i \(0.886352\pi\)
\(488\) −8.50048 + 2.27770i −0.384799 + 0.103107i
\(489\) 17.4577 + 17.4577i 0.789464 + 0.789464i
\(490\) 7.99803 5.03759i 0.361314 0.227575i
\(491\) −20.5605 11.8706i −0.927883 0.535713i −0.0417413 0.999128i \(-0.513291\pi\)
−0.886141 + 0.463415i \(0.846624\pi\)
\(492\) −7.69386 + 7.69386i −0.346866 + 0.346866i
\(493\) 16.1421 27.9590i 0.727004 1.25921i
\(494\) 19.7002 15.2201i 0.886356 0.684785i
\(495\) −3.11493 + 1.79840i −0.140006 + 0.0808322i
\(496\) 0.112859 + 0.421196i 0.00506753 + 0.0189123i
\(497\) 5.72506 + 9.48961i 0.256804 + 0.425667i
\(498\) 11.4173 6.59178i 0.511621 0.295385i
\(499\) 8.99324 33.5632i 0.402593 1.50250i −0.405859 0.913935i \(-0.633028\pi\)
0.808452 0.588562i \(-0.200306\pi\)
\(500\) −7.80724 + 7.80724i −0.349151 + 0.349151i
\(501\) 17.2880 17.2880i 0.772373 0.772373i
\(502\) 0.568359 2.12114i 0.0253671 0.0946713i
\(503\) 12.5876 7.26748i 0.561256 0.324041i −0.192394 0.981318i \(-0.561625\pi\)
0.753649 + 0.657277i \(0.228292\pi\)
\(504\) 2.31632 + 1.27855i 0.103177 + 0.0569509i
\(505\) −1.09389 4.08244i −0.0486773 0.181666i
\(506\) 0.605473 0.349570i 0.0269166 0.0155403i
\(507\) −12.5790 3.28168i −0.558652 0.145744i
\(508\) −7.14308 + 12.3722i −0.316923 + 0.548927i
\(509\) 21.8540 21.8540i 0.968661 0.968661i −0.0308623 0.999524i \(-0.509825\pi\)
0.999524 + 0.0308623i \(0.00982535\pi\)
\(510\) −6.13401 3.54147i −0.271619 0.156819i
\(511\) −6.44591 + 11.6779i −0.285150 + 0.516602i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 6.66931 1.78704i 0.294457 0.0788995i
\(514\) 6.62981 + 6.62981i 0.292428 + 0.292428i
\(515\) −3.72283 13.8938i −0.164048 0.612234i
\(516\) −6.74810 3.89602i −0.297069 0.171513i
\(517\) −7.65486 + 13.2586i −0.336660 + 0.583113i
\(518\) 5.05049 5.24869i 0.221906 0.230614i
\(519\) 0.338105i 0.0148412i
\(520\) 4.82490 0.651419i 0.211586 0.0285666i
\(521\) 37.8760 + 21.8677i 1.65938 + 0.958042i 0.973002 + 0.230795i \(0.0741326\pi\)
0.686375 + 0.727247i \(0.259201\pi\)
\(522\) −1.59298 + 5.94510i −0.0697230 + 0.260210i
\(523\) 14.3172i 0.626048i 0.949745 + 0.313024i \(0.101342\pi\)
−0.949745 + 0.313024i \(0.898658\pi\)
\(524\) 6.00988 + 10.4094i 0.262543 + 0.454738i
\(525\) −5.82746 + 6.05615i −0.254331 + 0.264312i
\(526\) −6.39836 + 23.8790i −0.278982 + 1.04117i
\(527\) −0.591987 2.20932i −0.0257873 0.0962397i
\(528\) 2.57289 0.689405i 0.111971 0.0300025i
\(529\) 22.9311 0.997005
\(530\) 2.37182 0.103025
\(531\) −8.31990 + 2.22931i −0.361053 + 0.0967438i
\(532\) −8.82781 + 15.9932i −0.382734 + 0.693392i
\(533\) −4.99227 + 38.9122i −0.216239 + 1.68547i
\(534\) 3.10216 + 5.37310i 0.134244 + 0.232517i
\(535\) −11.7582 3.15061i −0.508353 0.136213i
\(536\) 5.17908 + 8.97043i 0.223702 + 0.387464i
\(537\) −2.77624 + 4.80858i −0.119803 + 0.207506i
\(538\) −13.6013 + 13.6013i −0.586395 + 0.586395i
\(539\) 4.12933 18.1826i 0.177863 0.783180i
\(540\) 1.30432 + 0.349490i 0.0561288 + 0.0150397i
\(541\) −13.2636 3.55396i −0.570246 0.152797i −0.0378365 0.999284i \(-0.512047\pi\)
−0.532409 + 0.846487i \(0.678713\pi\)
\(542\) 0.870637i 0.0373971i
\(543\) 7.00160 4.04238i 0.300468 0.173475i
\(544\) 3.70903 + 3.70903i 0.159023 + 0.159023i
\(545\) 16.8559 0.722026
\(546\) 9.42731 1.45801i 0.403452 0.0623970i
\(547\) −12.5282 −0.535667 −0.267833 0.963465i \(-0.586308\pi\)
−0.267833 + 0.963465i \(0.586308\pi\)
\(548\) −2.26186 2.26186i −0.0966221 0.0966221i
\(549\) −7.62133 + 4.40017i −0.325270 + 0.187795i
\(550\) 8.46141i 0.360796i
\(551\) −41.0484 10.9989i −1.74872 0.468568i
\(552\) −0.253530 0.0679332i −0.0107910 0.00289143i
\(553\) −16.0749 3.97740i −0.683574 0.169136i
\(554\) −14.9899 + 14.9899i −0.636859 + 0.636859i
\(555\) 1.85878 3.21950i 0.0789009 0.136660i
\(556\) 3.02473 + 5.23898i 0.128277 + 0.222182i
\(557\) −10.5835 2.83584i −0.448437 0.120158i 0.0275312 0.999621i \(-0.491235\pi\)
−0.475968 + 0.879463i \(0.657902\pi\)
\(558\) 0.218027 + 0.377634i 0.00922983 + 0.0159865i
\(559\) −27.8420 + 3.75900i −1.17759 + 0.158989i
\(560\) −3.05905 + 1.84551i −0.129268 + 0.0779872i
\(561\) −13.4957 + 3.61617i −0.569791 + 0.152675i
\(562\) −29.3958 −1.23999
\(563\) 11.3695 0.479165 0.239583 0.970876i \(-0.422989\pi\)
0.239583 + 0.970876i \(0.422989\pi\)
\(564\) 5.55179 1.48760i 0.233773 0.0626392i
\(565\) 0.0270372 + 0.100904i 0.00113746 + 0.00424507i
\(566\) 3.67072 13.6993i 0.154292 0.575824i
\(567\) 2.56830 + 0.635473i 0.107859 + 0.0266874i
\(568\) −2.09446 3.62770i −0.0878814 0.152215i
\(569\) 9.62692i 0.403581i 0.979429 + 0.201791i \(0.0646761\pi\)
−0.979429 + 0.201791i \(0.935324\pi\)
\(570\) −2.41308 + 9.00575i −0.101073 + 0.377209i
\(571\) 9.45507 + 5.45889i 0.395682 + 0.228447i 0.684619 0.728901i \(-0.259968\pi\)
−0.288937 + 0.957348i \(0.593302\pi\)
\(572\) 5.82133 7.63858i 0.243402 0.319385i
\(573\) 13.3692i 0.558506i
\(574\) −7.98446 27.6583i −0.333265 1.15444i
\(575\) 0.416889 0.722073i 0.0173855 0.0301125i
\(576\) −0.866025 0.500000i −0.0360844 0.0208333i
\(577\) 6.95237 + 25.9466i 0.289431 + 1.08017i 0.945540 + 0.325505i \(0.105534\pi\)
−0.656110 + 0.754666i \(0.727799\pi\)
\(578\) −7.43434 7.43434i −0.309228 0.309228i
\(579\) 9.13181 2.44686i 0.379505 0.101688i
\(580\) −5.87678 5.87678i −0.244020 0.244020i
\(581\) 0.671119 + 34.8739i 0.0278427 + 1.44682i
\(582\) −16.6523 9.61423i −0.690261 0.398523i
\(583\) 3.30830 3.30830i 0.137016 0.137016i
\(584\) 2.52080 4.36615i 0.104311 0.180673i
\(585\) 4.49189 1.87800i 0.185717 0.0776457i
\(586\) −2.78682 + 1.60897i −0.115122 + 0.0664659i
\(587\) 7.51437 + 28.0440i 0.310151 + 1.15750i 0.928420 + 0.371533i \(0.121168\pi\)
−0.618269 + 0.785967i \(0.712166\pi\)
\(588\) −5.92303 + 3.73064i −0.244262 + 0.153849i
\(589\) −2.60740 + 1.50539i −0.107436 + 0.0620283i
\(590\) 3.01030 11.2346i 0.123932 0.462521i
\(591\) −8.16211 + 8.16211i −0.335744 + 0.335744i
\(592\) −1.94672 + 1.94672i −0.0800098 + 0.0800098i
\(593\) −1.54505 + 5.76620i −0.0634475 + 0.236789i −0.990366 0.138473i \(-0.955781\pi\)
0.926919 + 0.375262i \(0.122447\pi\)
\(594\) 2.30679 1.33183i 0.0946489 0.0546456i
\(595\) 16.0458 9.68038i 0.657813 0.396857i
\(596\) 0.711179 + 2.65415i 0.0291310 + 0.108718i
\(597\) 1.95194 1.12695i 0.0798877 0.0461232i
\(598\) −0.873125 + 0.365041i −0.0357047 + 0.0149277i
\(599\) −11.9476 + 20.6938i −0.488165 + 0.845527i −0.999907 0.0136121i \(-0.995667\pi\)
0.511742 + 0.859139i \(0.329000\pi\)
\(600\) 2.24621 2.24621i 0.0917010 0.0917010i
\(601\) 31.4273 + 18.1445i 1.28194 + 0.740131i 0.977204 0.212304i \(-0.0680967\pi\)
0.304741 + 0.952435i \(0.401430\pi\)
\(602\) 17.6522 10.6495i 0.719448 0.434041i
\(603\) 7.32433 + 7.32433i 0.298270 + 0.298270i
\(604\) −12.1411 + 3.25321i −0.494016 + 0.132371i
\(605\) 3.72854 + 3.72854i 0.151587 + 0.151587i
\(606\) 0.810090 + 3.02330i 0.0329076 + 0.122813i
\(607\) −0.0389874 0.0225094i −0.00158245 0.000913628i 0.499209 0.866482i \(-0.333624\pi\)
−0.500791 + 0.865568i \(0.666957\pi\)
\(608\) 3.45229 5.97954i 0.140009 0.242502i
\(609\) −11.7340 11.2909i −0.475487 0.457532i
\(610\) 11.8834i 0.481143i
\(611\) 12.5613 16.4825i 0.508174 0.666812i
\(612\) 4.54261 + 2.62268i 0.183624 + 0.106015i
\(613\) 2.33413 8.71109i 0.0942747 0.351838i −0.902634 0.430409i \(-0.858369\pi\)
0.996908 + 0.0785715i \(0.0250359\pi\)
\(614\) 9.47481i 0.382372i
\(615\) −7.34629 12.7242i −0.296231 0.513087i
\(616\) −1.69268 + 6.84107i −0.0682001 + 0.275635i
\(617\) −11.2249 + 41.8918i −0.451897 + 1.68650i 0.245157 + 0.969483i \(0.421161\pi\)
−0.697054 + 0.717019i \(0.745506\pi\)
\(618\) 2.75698 + 10.2892i 0.110902 + 0.413892i
\(619\) 19.8679 5.32358i 0.798557 0.213973i 0.163607 0.986526i \(-0.447687\pi\)
0.634950 + 0.772553i \(0.281021\pi\)
\(620\) −0.588817 −0.0236474
\(621\) −0.262474 −0.0105327
\(622\) 31.3571 8.40211i 1.25731 0.336894i
\(623\) −16.4120 + 0.315835i −0.657534 + 0.0126537i
\(624\) −3.57313 + 0.482416i −0.143040 + 0.0193121i
\(625\) 0.486981 + 0.843477i 0.0194793 + 0.0337391i
\(626\) −19.7324 5.28729i −0.788667 0.211323i
\(627\) 9.19570 + 15.9274i 0.367241 + 0.636080i
\(628\) 2.64969 4.58939i 0.105734 0.183137i
\(629\) 10.2113 10.2113i 0.407149 0.407149i
\(630\) −2.47716 + 2.57437i −0.0986923 + 0.102565i
\(631\) 4.76385 + 1.27647i 0.189646 + 0.0508154i 0.352392 0.935853i \(-0.385368\pi\)
−0.162746 + 0.986668i \(0.552035\pi\)
\(632\) 6.04569 + 1.61994i 0.240485 + 0.0644377i
\(633\) 22.3979i 0.890237i
\(634\) −3.15975 + 1.82428i −0.125490 + 0.0724514i
\(635\) −13.6408 13.6408i −0.541318 0.541318i
\(636\) −1.75648 −0.0696488
\(637\) −8.67603 + 23.7008i −0.343757 + 0.939059i
\(638\) −16.3943 −0.649057
\(639\) −2.96201 2.96201i −0.117175 0.117175i
\(640\) 1.16942 0.675164i 0.0462253 0.0266882i
\(641\) 41.3607i 1.63365i −0.576885 0.816825i \(-0.695732\pi\)
0.576885 0.816825i \(-0.304268\pi\)
\(642\) 8.70769 + 2.33322i 0.343665 + 0.0920848i
\(643\) −9.73707 2.60904i −0.383992 0.102890i 0.0616584 0.998097i \(-0.480361\pi\)
−0.445651 + 0.895207i \(0.647028\pi\)
\(644\) 0.481505 0.500401i 0.0189739 0.0197185i
\(645\) 7.44004 7.44004i 0.292951 0.292951i
\(646\) −18.1085 + 31.3648i −0.712468 + 1.23403i
\(647\) 8.34544 + 14.4547i 0.328093 + 0.568274i 0.982133 0.188186i \(-0.0602607\pi\)
−0.654040 + 0.756460i \(0.726927\pi\)
\(648\) −0.965926 0.258819i −0.0379452 0.0101674i
\(649\) −11.4716 19.8693i −0.450298 0.779939i
\(650\) 1.45748 11.3603i 0.0571672 0.445589i
\(651\) −1.15348 + 0.0221977i −0.0452084 + 0.000869996i
\(652\) 23.8476 6.38996i 0.933946 0.250250i
\(653\) −26.9629 −1.05514 −0.527571 0.849511i \(-0.676897\pi\)
−0.527571 + 0.849511i \(0.676897\pi\)
\(654\) −12.4828 −0.488116
\(655\) −15.6776 + 4.20079i −0.612573 + 0.164139i
\(656\) 2.81615 + 10.5100i 0.109952 + 0.410347i
\(657\) 1.30486 4.86981i 0.0509075 0.189989i
\(658\) −3.65247 + 14.7617i −0.142388 + 0.575470i
\(659\) −14.7018 25.4643i −0.572702 0.991950i −0.996287 0.0860931i \(-0.972562\pi\)
0.423585 0.905856i \(-0.360772\pi\)
\(660\) 3.59681i 0.140006i
\(661\) 9.53644 35.5905i 0.370925 1.38431i −0.488284 0.872685i \(-0.662377\pi\)
0.859209 0.511625i \(-0.170956\pi\)
\(662\) 1.95986 + 1.13153i 0.0761723 + 0.0439781i
\(663\) 18.7423 2.53044i 0.727892 0.0982742i
\(664\) 13.1836i 0.511621i
\(665\) −17.7749 17.1037i −0.689282 0.663254i
\(666\) −1.37654 + 2.38424i −0.0533399 + 0.0923874i
\(667\) 1.39905 + 0.807740i 0.0541713 + 0.0312758i
\(668\) −6.32787 23.6159i −0.244832 0.913727i
\(669\) 12.3631 + 12.3631i 0.477985 + 0.477985i
\(670\) −13.5103 + 3.62008i −0.521949 + 0.139856i
\(671\) −16.5754 16.5754i −0.639885 0.639885i
\(672\) 2.26541 1.36672i 0.0873901 0.0527222i
\(673\) −8.61642 4.97469i −0.332138 0.191760i 0.324652 0.945834i \(-0.394753\pi\)
−0.656790 + 0.754073i \(0.728086\pi\)
\(674\) 12.6233 12.6233i 0.486233 0.486233i
\(675\) 1.58831 2.75103i 0.0611340 0.105887i
\(676\) −9.13150 + 9.25287i −0.351212 + 0.355880i
\(677\) −0.655682 + 0.378558i −0.0251999 + 0.0145492i −0.512547 0.858659i \(-0.671298\pi\)
0.487347 + 0.873208i \(0.337965\pi\)
\(678\) −0.0200227 0.0747257i −0.000768967 0.00286982i
\(679\) 43.5603 26.2798i 1.67169 1.00853i
\(680\) −6.13401 + 3.54147i −0.235229 + 0.135809i
\(681\) 6.43187 24.0041i 0.246470 0.919838i
\(682\) −0.821304 + 0.821304i −0.0314494 + 0.0314494i
\(683\) 1.59067 1.59067i 0.0608652 0.0608652i −0.676019 0.736884i \(-0.736296\pi\)
0.736884 + 0.676019i \(0.236296\pi\)
\(684\) 1.78704 6.66931i 0.0683290 0.255007i
\(685\) 3.74069 2.15969i 0.142924 0.0825174i
\(686\) −1.06849 18.4894i −0.0407953 0.705929i
\(687\) 0.302393 + 1.12855i 0.0115370 + 0.0430567i
\(688\) −6.74810 + 3.89602i −0.257269 + 0.148534i
\(689\) −5.01160 + 3.87189i −0.190927 + 0.147507i
\(690\) 0.177213 0.306942i 0.00674638 0.0116851i
\(691\) 15.0964 15.0964i 0.574293 0.574293i −0.359032 0.933325i \(-0.616893\pi\)
0.933325 + 0.359032i \(0.116893\pi\)
\(692\) 0.292808 + 0.169053i 0.0111309 + 0.00642642i
\(693\) 0.135595 + 7.04607i 0.00515084 + 0.267658i
\(694\) −11.0995 11.0995i −0.421332 0.421332i
\(695\) −7.89041 + 2.11423i −0.299300 + 0.0801972i
\(696\) 4.35211 + 4.35211i 0.164966 + 0.164966i
\(697\) −14.7717 55.1287i −0.559518 2.08815i
\(698\) −25.8910 14.9482i −0.979991 0.565798i
\(699\) 5.80374 10.0524i 0.219518 0.380216i
\(700\) 2.33105 + 8.07480i 0.0881054 + 0.305199i
\(701\) 5.56664i 0.210249i −0.994459 0.105124i \(-0.966476\pi\)
0.994459 0.105124i \(-0.0335241\pi\)
\(702\) −3.32652 + 1.39077i −0.125551 + 0.0524913i
\(703\) −16.4622 9.50443i −0.620882 0.358466i
\(704\) 0.689405 2.57289i 0.0259829 0.0969696i
\(705\) 7.76119i 0.292303i
\(706\) 13.4412 + 23.2809i 0.505866 + 0.876186i
\(707\) −8.03864 1.98900i −0.302324 0.0748039i
\(708\) −2.22931 + 8.31990i −0.0837826 + 0.312681i
\(709\) −9.56097 35.6820i −0.359070 1.34007i −0.875285 0.483607i \(-0.839326\pi\)
0.516215 0.856459i \(-0.327340\pi\)
\(710\) 5.46367 1.46399i 0.205048 0.0549424i
\(711\) 6.25896 0.234729
\(712\) 6.20432 0.232517
\(713\) 0.110553 0.0296226i 0.00414024 0.00110938i
\(714\) −11.8829 + 7.16891i −0.444706 + 0.268290i
\(715\) 7.92862 + 10.2625i 0.296514 + 0.383794i
\(716\) 2.77624 + 4.80858i 0.103753 + 0.179705i
\(717\) 25.1206 + 6.73106i 0.938148 + 0.251376i
\(718\) −15.3393 26.5684i −0.572456 0.991524i
\(719\) 13.5980 23.5524i 0.507120 0.878357i −0.492846 0.870116i \(-0.664044\pi\)
0.999966 0.00824079i \(-0.00262315\pi\)
\(720\) 0.954826 0.954826i 0.0355843 0.0355843i
\(721\) −27.3580 6.76916i −1.01886 0.252097i
\(722\) 27.6961 + 7.42116i 1.03074 + 0.276187i
\(723\) 28.7576 + 7.70558i 1.06951 + 0.286574i
\(724\) 8.08476i 0.300468i
\(725\) −16.9321 + 9.77575i −0.628842 + 0.363062i
\(726\) −2.76121 2.76121i −0.102478 0.102478i
\(727\) −23.9303 −0.887524 −0.443762 0.896145i \(-0.646356\pi\)
−0.443762 + 0.896145i \(0.646356\pi\)
\(728\) 3.45098 8.89330i 0.127902 0.329607i
\(729\) −1.00000 −0.0370370
\(730\) 4.81385 + 4.81385i 0.178169 + 0.178169i
\(731\) 35.3962 20.4360i 1.30917 0.755853i
\(732\) 8.80035i 0.325270i
\(733\) 13.8090 + 3.70012i 0.510049 + 0.136667i 0.504660 0.863318i \(-0.331618\pi\)
0.00538890 + 0.999985i \(0.498285\pi\)
\(734\) −14.5408 3.89619i −0.536710 0.143811i
\(735\) −2.79590 9.02933i −0.103128 0.333052i
\(736\) −0.185597 + 0.185597i −0.00684120 + 0.00684120i
\(737\) −13.7953 + 23.8941i −0.508156 + 0.880152i
\(738\) 5.44038 + 9.42301i 0.200263 + 0.346866i
\(739\) −25.9347 6.94919i −0.954025 0.255630i −0.251955 0.967739i \(-0.581074\pi\)
−0.702069 + 0.712109i \(0.747740\pi\)
\(740\) −1.85878 3.21950i −0.0683302 0.118351i
\(741\) −9.60269 22.9682i −0.352764 0.843759i
\(742\) 2.24573 4.06855i 0.0824434 0.149361i
\(743\) −4.31189 + 1.15537i −0.158188 + 0.0423863i −0.337044 0.941489i \(-0.609427\pi\)
0.178856 + 0.983875i \(0.442760\pi\)
\(744\) 0.436055 0.0159865
\(745\) −3.71041 −0.135939
\(746\) 10.2719 2.75236i 0.376082 0.100771i
\(747\) −3.41215 12.7343i −0.124844 0.465925i
\(748\) −3.61617 + 13.4957i −0.132220 + 0.493453i
\(749\) −16.5377 + 17.1867i −0.604273 + 0.627987i
\(750\) 5.52055 + 9.56188i 0.201582 + 0.349151i
\(751\) 40.1747i 1.46600i 0.680230 + 0.732999i \(0.261880\pi\)
−0.680230 + 0.732999i \(0.738120\pi\)
\(752\) 1.48760 5.55179i 0.0542471 0.202453i
\(753\) −1.90177 1.09799i −0.0693042 0.0400128i
\(754\) 22.0111 + 2.82393i 0.801597 + 0.102842i
\(755\) 16.9729i 0.617705i
\(756\) 1.83449 1.90648i 0.0667196 0.0693379i
\(757\) −22.8181 + 39.5220i −0.829336 + 1.43645i 0.0692231 + 0.997601i \(0.477948\pi\)
−0.898560 + 0.438852i \(0.855385\pi\)
\(758\) −1.25176 0.722703i −0.0454659 0.0262497i
\(759\) −0.180951 0.675317i −0.00656810 0.0245125i
\(760\) 6.59267 + 6.59267i 0.239141 + 0.239141i
\(761\) 43.0272 11.5291i 1.55973 0.417930i 0.627155 0.778894i \(-0.284219\pi\)
0.932579 + 0.360965i \(0.117553\pi\)
\(762\) 10.1018 + 10.1018i 0.365951 + 0.365951i
\(763\) 15.9598 28.9141i 0.577785 1.04676i
\(764\) 11.5781 + 6.68460i 0.418880 + 0.241840i
\(765\) −5.00840 + 5.00840i −0.181079 + 0.181079i
\(766\) 13.0378 22.5821i 0.471075 0.815926i
\(767\) 11.9793 + 28.6526i 0.432546 + 1.03459i
\(768\) −0.866025 + 0.500000i −0.0312500 + 0.0180422i
\(769\) 3.66323 + 13.6714i 0.132099 + 0.493002i 0.999993 0.00374840i \(-0.00119316\pi\)
−0.867894 + 0.496750i \(0.834526\pi\)
\(770\) −8.33134 4.59868i −0.300241 0.165725i
\(771\) 8.11982 4.68798i 0.292428 0.168834i
\(772\) 2.44686 9.13181i 0.0880644 0.328661i
\(773\) 26.0658 26.0658i 0.937521 0.937521i −0.0606384 0.998160i \(-0.519314\pi\)
0.998160 + 0.0606384i \(0.0193136\pi\)
\(774\) −5.50980 +