Properties

Label 546.2.cg.b.241.1
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 241.1
Character \(\chi\) \(=\) 546.241
Dual form 546.2.cg.b.145.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.707107 - 0.707107i) q^{2} +(-0.866025 + 0.500000i) q^{3} +1.00000i q^{4} +(-4.23240 - 1.13407i) q^{5} +(0.965926 + 0.258819i) q^{6} +(1.34853 - 2.27629i) q^{7} +(0.707107 - 0.707107i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.707107 - 0.707107i) q^{2} +(-0.866025 + 0.500000i) q^{3} +1.00000i q^{4} +(-4.23240 - 1.13407i) q^{5} +(0.965926 + 0.258819i) q^{6} +(1.34853 - 2.27629i) q^{7} +(0.707107 - 0.707107i) q^{8} +(0.500000 - 0.866025i) q^{9} +(2.19085 + 3.79467i) q^{10} +(3.11756 + 0.835348i) q^{11} +(-0.500000 - 0.866025i) q^{12} +(-2.90215 - 2.13951i) q^{13} +(-2.56313 + 0.656024i) q^{14} +(4.23240 - 1.13407i) q^{15} -1.00000 q^{16} -6.34145 q^{17} +(-0.965926 + 0.258819i) q^{18} +(1.39923 + 5.22199i) q^{19} +(1.13407 - 4.23240i) q^{20} +(-0.0297166 + 2.64558i) q^{21} +(-1.61377 - 2.79513i) q^{22} +1.98551i q^{23} +(-0.258819 + 0.965926i) q^{24} +(12.2970 + 7.09968i) q^{25} +(0.539271 + 3.56499i) q^{26} +1.00000i q^{27} +(2.27629 + 1.34853i) q^{28} +(-1.73874 + 3.01158i) q^{29} +(-3.79467 - 2.19085i) q^{30} +(2.21076 + 8.25065i) q^{31} +(0.707107 + 0.707107i) q^{32} +(-3.11756 + 0.835348i) q^{33} +(4.48408 + 4.48408i) q^{34} +(-8.28898 + 8.10484i) q^{35} +(0.866025 + 0.500000i) q^{36} +(0.127237 - 0.127237i) q^{37} +(2.70310 - 4.68191i) q^{38} +(3.58309 + 0.401793i) q^{39} +(-3.79467 + 2.19085i) q^{40} +(-0.00297886 - 0.0111173i) q^{41} +(1.89172 - 1.84970i) q^{42} +(-2.69459 + 1.55572i) q^{43} +(-0.835348 + 3.11756i) q^{44} +(-3.09834 + 3.09834i) q^{45} +(1.40397 - 1.40397i) q^{46} +(0.994423 - 3.71124i) q^{47} +(0.866025 - 0.500000i) q^{48} +(-3.36295 - 6.13927i) q^{49} +(-3.67507 - 13.7155i) q^{50} +(5.49185 - 3.17072i) q^{51} +(2.13951 - 2.90215i) q^{52} +(-6.19883 + 10.7367i) q^{53} +(0.707107 - 0.707107i) q^{54} +(-12.2474 - 7.07106i) q^{55} +(-0.656024 - 2.56313i) q^{56} +(-3.82276 - 3.82276i) q^{57} +(3.35899 - 0.900038i) q^{58} +(4.55586 + 4.55586i) q^{59} +(1.13407 + 4.23240i) q^{60} +(4.94487 + 2.85492i) q^{61} +(4.27085 - 7.39733i) q^{62} +(-1.29706 - 2.30600i) q^{63} -1.00000i q^{64} +(9.85674 + 12.3465i) q^{65} +(2.79513 + 1.61377i) q^{66} +(-1.37471 + 5.13050i) q^{67} -6.34145i q^{68} +(-0.992755 - 1.71950i) q^{69} +(11.5922 + 0.130210i) q^{70} +(1.61017 - 6.00925i) q^{71} +(-0.258819 - 0.965926i) q^{72} +(3.47471 - 0.931045i) q^{73} -0.179940 q^{74} -14.1994 q^{75} +(-5.22199 + 1.39923i) q^{76} +(6.10560 - 5.96997i) q^{77} +(-2.24952 - 2.81774i) q^{78} +(-7.63746 - 13.2285i) q^{79} +(4.23240 + 1.13407i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-0.00575472 + 0.00996747i) q^{82} +(-1.17696 + 1.17696i) q^{83} +(-2.64558 - 0.0297166i) q^{84} +(26.8396 + 7.19164i) q^{85} +(3.00543 + 0.805301i) q^{86} -3.47748i q^{87} +(2.79513 - 1.61377i) q^{88} +(12.6058 + 12.6058i) q^{89} +4.38171 q^{90} +(-8.78377 + 3.72094i) q^{91} -1.98551 q^{92} +(-6.03990 - 6.03990i) q^{93} +(-3.32740 + 1.92108i) q^{94} -23.6884i q^{95} +(-0.965926 - 0.258819i) q^{96} +(2.25048 + 0.603015i) q^{97} +(-1.96315 + 6.71908i) q^{98} +(2.28221 - 2.28221i) 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
\(5\) −4.23240 1.13407i −1.89279 0.507171i −0.998179 0.0603236i \(-0.980787\pi\)
−0.894610 0.446848i \(-0.852547\pi\)
\(6\) 0.965926 + 0.258819i 0.394338 + 0.105662i
\(7\) 1.34853 2.27629i 0.509696 0.860355i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) 2.19085 + 3.79467i 0.692809 + 1.19998i
\(11\) 3.11756 + 0.835348i 0.939980 + 0.251867i 0.696105 0.717940i \(-0.254915\pi\)
0.243875 + 0.969807i \(0.421581\pi\)
\(12\) −0.500000 0.866025i −0.144338 0.250000i
\(13\) −2.90215 2.13951i −0.804913 0.593393i
\(14\) −2.56313 + 0.656024i −0.685025 + 0.175330i
\(15\) 4.23240 1.13407i 1.09280 0.292815i
\(16\) −1.00000 −0.250000
\(17\) −6.34145 −1.53803 −0.769013 0.639233i \(-0.779252\pi\)
−0.769013 + 0.639233i \(0.779252\pi\)
\(18\) −0.965926 + 0.258819i −0.227671 + 0.0610042i
\(19\) 1.39923 + 5.22199i 0.321005 + 1.19801i 0.918267 + 0.395961i \(0.129589\pi\)
−0.597262 + 0.802046i \(0.703745\pi\)
\(20\) 1.13407 4.23240i 0.253586 0.946394i
\(21\) −0.0297166 + 2.64558i −0.00648470 + 0.577314i
\(22\) −1.61377 2.79513i −0.344056 0.595923i
\(23\) 1.98551i 0.414008i 0.978340 + 0.207004i \(0.0663713\pi\)
−0.978340 + 0.207004i \(0.933629\pi\)
\(24\) −0.258819 + 0.965926i −0.0528312 + 0.197169i
\(25\) 12.2970 + 7.09968i 2.45940 + 1.41994i
\(26\) 0.539271 + 3.56499i 0.105760 + 0.699153i
\(27\) 1.00000i 0.192450i
\(28\) 2.27629 + 1.34853i 0.430177 + 0.254848i
\(29\) −1.73874 + 3.01158i −0.322876 + 0.559237i −0.981080 0.193602i \(-0.937983\pi\)
0.658204 + 0.752839i \(0.271316\pi\)
\(30\) −3.79467 2.19085i −0.692809 0.399993i
\(31\) 2.21076 + 8.25065i 0.397063 + 1.48186i 0.818237 + 0.574881i \(0.194952\pi\)
−0.421174 + 0.906980i \(0.638382\pi\)
\(32\) 0.707107 + 0.707107i 0.125000 + 0.125000i
\(33\) −3.11756 + 0.835348i −0.542698 + 0.145415i
\(34\) 4.48408 + 4.48408i 0.769013 + 0.769013i
\(35\) −8.28898 + 8.10484i −1.40109 + 1.36997i
\(36\) 0.866025 + 0.500000i 0.144338 + 0.0833333i
\(37\) 0.127237 0.127237i 0.0209176 0.0209176i −0.696571 0.717488i \(-0.745292\pi\)
0.717488 + 0.696571i \(0.245292\pi\)
\(38\) 2.70310 4.68191i 0.438501 0.759506i
\(39\) 3.58309 + 0.401793i 0.573754 + 0.0643384i
\(40\) −3.79467 + 2.19085i −0.599990 + 0.346404i
\(41\) −0.00297886 0.0111173i −0.000465220 0.00173623i 0.965693 0.259687i \(-0.0836194\pi\)
−0.966158 + 0.257951i \(0.916953\pi\)
\(42\) 1.89172 1.84970i 0.291899 0.285415i
\(43\) −2.69459 + 1.55572i −0.410921 + 0.237245i −0.691185 0.722677i \(-0.742911\pi\)
0.280264 + 0.959923i \(0.409578\pi\)
\(44\) −0.835348 + 3.11756i −0.125933 + 0.469990i
\(45\) −3.09834 + 3.09834i −0.461873 + 0.461873i
\(46\) 1.40397 1.40397i 0.207004 0.207004i
\(47\) 0.994423 3.71124i 0.145051 0.541339i −0.854702 0.519120i \(-0.826260\pi\)
0.999753 0.0222199i \(-0.00707338\pi\)
\(48\) 0.866025 0.500000i 0.125000 0.0721688i
\(49\) −3.36295 6.13927i −0.480421 0.877038i
\(50\) −3.67507 13.7155i −0.519733 1.93967i
\(51\) 5.49185 3.17072i 0.769013 0.443990i
\(52\) 2.13951 2.90215i 0.296697 0.402456i
\(53\) −6.19883 + 10.7367i −0.851475 + 1.47480i 0.0284016 + 0.999597i \(0.490958\pi\)
−0.879877 + 0.475202i \(0.842375\pi\)
\(54\) 0.707107 0.707107i 0.0962250 0.0962250i
\(55\) −12.2474 7.07106i −1.65144 0.953461i
\(56\) −0.656024 2.56313i −0.0876648 0.342513i
\(57\) −3.82276 3.82276i −0.506337 0.506337i
\(58\) 3.35899 0.900038i 0.441057 0.118181i
\(59\) 4.55586 + 4.55586i 0.593122 + 0.593122i 0.938473 0.345351i \(-0.112240\pi\)
−0.345351 + 0.938473i \(0.612240\pi\)
\(60\) 1.13407 + 4.23240i 0.146408 + 0.546401i
\(61\) 4.94487 + 2.85492i 0.633126 + 0.365535i 0.781962 0.623326i \(-0.214219\pi\)
−0.148836 + 0.988862i \(0.547553\pi\)
\(62\) 4.27085 7.39733i 0.542399 0.939462i
\(63\) −1.29706 2.30600i −0.163414 0.290529i
\(64\) 1.00000i 0.125000i
\(65\) 9.85674 + 12.3465i 1.22258 + 1.53140i
\(66\) 2.79513 + 1.61377i 0.344056 + 0.198641i
\(67\) −1.37471 + 5.13050i −0.167948 + 0.626790i 0.829698 + 0.558213i \(0.188513\pi\)
−0.997646 + 0.0685772i \(0.978154\pi\)
\(68\) 6.34145i 0.769013i
\(69\) −0.992755 1.71950i −0.119514 0.207004i
\(70\) 11.5922 + 0.130210i 1.38553 + 0.0155630i
\(71\) 1.61017 6.00925i 0.191092 0.713167i −0.802151 0.597121i \(-0.796311\pi\)
0.993244 0.116046i \(-0.0370220\pi\)
\(72\) −0.258819 0.965926i −0.0305021 0.113835i
\(73\) 3.47471 0.931045i 0.406684 0.108971i −0.0496772 0.998765i \(-0.515819\pi\)
0.456361 + 0.889795i \(0.349153\pi\)
\(74\) −0.179940 −0.0209176
\(75\) −14.1994 −1.63960
\(76\) −5.22199 + 1.39923i −0.599004 + 0.160503i
\(77\) 6.10560 5.96997i 0.695798 0.680341i
\(78\) −2.24952 2.81774i −0.254708 0.319046i
\(79\) −7.63746 13.2285i −0.859282 1.48832i −0.872615 0.488408i \(-0.837578\pi\)
0.0133334 0.999911i \(-0.495756\pi\)
\(80\) 4.23240 + 1.13407i 0.473197 + 0.126793i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) −0.00575472 + 0.00996747i −0.000635503 + 0.00110072i
\(83\) −1.17696 + 1.17696i −0.129188 + 0.129188i −0.768744 0.639556i \(-0.779118\pi\)
0.639556 + 0.768744i \(0.279118\pi\)
\(84\) −2.64558 0.0297166i −0.288657 0.00324235i
\(85\) 26.8396 + 7.19164i 2.91116 + 0.780043i
\(86\) 3.00543 + 0.805301i 0.324083 + 0.0868379i
\(87\) 3.47748i 0.372825i
\(88\) 2.79513 1.61377i 0.297962 0.172028i
\(89\) 12.6058 + 12.6058i 1.33621 + 1.33621i 0.899696 + 0.436516i \(0.143788\pi\)
0.436516 + 0.899696i \(0.356212\pi\)
\(90\) 4.38171 0.461873
\(91\) −8.78377 + 3.72094i −0.920789 + 0.390061i
\(92\) −1.98551 −0.207004
\(93\) −6.03990 6.03990i −0.626308 0.626308i
\(94\) −3.32740 + 1.92108i −0.343195 + 0.198144i
\(95\) 23.6884i 2.43038i
\(96\) −0.965926 0.258819i −0.0985844 0.0264156i
\(97\) 2.25048 + 0.603015i 0.228502 + 0.0612269i 0.371253 0.928532i \(-0.378928\pi\)
−0.142751 + 0.989759i \(0.545595\pi\)
\(98\) −1.96315 + 6.71908i −0.198309 + 0.678729i
\(99\) 2.28221 2.28221i 0.229371 0.229371i
\(100\) −7.09968 + 12.2970i −0.709968 + 1.22970i
\(101\) −4.16096 7.20699i −0.414031 0.717122i 0.581295 0.813693i \(-0.302546\pi\)
−0.995326 + 0.0965702i \(0.969213\pi\)
\(102\) −6.12537 1.64129i −0.606502 0.162512i
\(103\) 1.19202 + 2.06463i 0.117453 + 0.203434i 0.918758 0.394822i \(-0.129194\pi\)
−0.801305 + 0.598256i \(0.795860\pi\)
\(104\) −3.56499 + 0.539271i −0.349576 + 0.0528798i
\(105\) 3.12605 11.1635i 0.305071 1.08944i
\(106\) 11.9752 3.20875i 1.16314 0.311662i
\(107\) −4.26472 −0.412286 −0.206143 0.978522i \(-0.566091\pi\)
−0.206143 + 0.978522i \(0.566091\pi\)
\(108\) −1.00000 −0.0962250
\(109\) −18.0839 + 4.84556i −1.73212 + 0.464120i −0.980670 0.195668i \(-0.937312\pi\)
−0.751451 + 0.659789i \(0.770646\pi\)
\(110\) 3.66025 + 13.6602i 0.348991 + 1.30245i
\(111\) −0.0465718 + 0.173808i −0.00442040 + 0.0164972i
\(112\) −1.34853 + 2.27629i −0.127424 + 0.215089i
\(113\) 3.88176 + 6.72341i 0.365166 + 0.632486i 0.988803 0.149228i \(-0.0476790\pi\)
−0.623637 + 0.781714i \(0.714346\pi\)
\(114\) 5.40620i 0.506337i
\(115\) 2.25171 8.40349i 0.209973 0.783629i
\(116\) −3.01158 1.73874i −0.279619 0.161438i
\(117\) −3.30395 + 1.44358i −0.305450 + 0.133459i
\(118\) 6.44295i 0.593122i
\(119\) −8.55162 + 14.4349i −0.783925 + 1.32325i
\(120\) 2.19085 3.79467i 0.199997 0.346404i
\(121\) −0.504905 0.291507i −0.0459005 0.0265007i
\(122\) −1.47782 5.51529i −0.133795 0.499331i
\(123\) 0.00813841 + 0.00813841i 0.000733816 + 0.000733816i
\(124\) −8.25065 + 2.21076i −0.740930 + 0.198532i
\(125\) −28.5027 28.5027i −2.54936 2.54936i
\(126\) −0.713432 + 2.54775i −0.0635575 + 0.226971i
\(127\) −0.607656 0.350830i −0.0539207 0.0311311i 0.472797 0.881171i \(-0.343244\pi\)
−0.526718 + 0.850040i \(0.676578\pi\)
\(128\) −0.707107 + 0.707107i −0.0625000 + 0.0625000i
\(129\) 1.55572 2.69459i 0.136974 0.237245i
\(130\) 1.76054 15.7001i 0.154410 1.37699i
\(131\) 6.17726 3.56644i 0.539710 0.311602i −0.205252 0.978709i \(-0.565801\pi\)
0.744961 + 0.667108i \(0.232468\pi\)
\(132\) −0.835348 3.11756i −0.0727077 0.271349i
\(133\) 13.7736 + 3.85696i 1.19433 + 0.334441i
\(134\) 4.59988 2.65574i 0.397369 0.229421i
\(135\) 1.13407 4.23240i 0.0976052 0.364267i
\(136\) −4.48408 + 4.48408i −0.384507 + 0.384507i
\(137\) −0.639858 + 0.639858i −0.0546668 + 0.0546668i −0.733912 0.679245i \(-0.762307\pi\)
0.679245 + 0.733912i \(0.262307\pi\)
\(138\) −0.513888 + 1.91786i −0.0437451 + 0.163259i
\(139\) −17.7912 + 10.2718i −1.50903 + 0.871239i −0.509085 + 0.860716i \(0.670016\pi\)
−0.999945 + 0.0105224i \(0.996651\pi\)
\(140\) −8.10484 8.28898i −0.684984 0.700547i
\(141\) 0.994423 + 3.71124i 0.0837455 + 0.312542i
\(142\) −5.38775 + 3.11062i −0.452130 + 0.261037i
\(143\) −7.26040 9.09436i −0.607145 0.760508i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) 10.7744 10.7744i 0.894765 0.894765i
\(146\) −3.11534 1.79864i −0.257827 0.148857i
\(147\) 5.98203 + 3.63529i 0.493390 + 0.299833i
\(148\) 0.127237 + 0.127237i 0.0104588 + 0.0104588i
\(149\) 6.98514 1.87166i 0.572245 0.153332i 0.0389188 0.999242i \(-0.487609\pi\)
0.533326 + 0.845910i \(0.320942\pi\)
\(150\) 10.0405 + 10.0405i 0.819801 + 0.819801i
\(151\) 0.876878 + 3.27255i 0.0713593 + 0.266317i 0.992383 0.123190i \(-0.0393123\pi\)
−0.921024 + 0.389506i \(0.872646\pi\)
\(152\) 4.68191 + 2.70310i 0.379753 + 0.219251i
\(153\) −3.17072 + 5.49185i −0.256338 + 0.443990i
\(154\) −8.53872 0.0959114i −0.688069 0.00772876i
\(155\) 37.4272i 3.00623i
\(156\) −0.401793 + 3.58309i −0.0321692 + 0.286877i
\(157\) −1.58306 0.913980i −0.126342 0.0729436i 0.435497 0.900190i \(-0.356573\pi\)
−0.561839 + 0.827247i \(0.689906\pi\)
\(158\) −3.95344 + 14.7544i −0.314519 + 1.17380i
\(159\) 12.3977i 0.983199i
\(160\) −2.19085 3.79467i −0.173202 0.299995i
\(161\) 4.51959 + 2.67752i 0.356193 + 0.211018i
\(162\) −0.258819 + 0.965926i −0.0203347 + 0.0758903i
\(163\) 2.96661 + 11.0716i 0.232363 + 0.867191i 0.979320 + 0.202318i \(0.0648475\pi\)
−0.746957 + 0.664873i \(0.768486\pi\)
\(164\) 0.0111173 0.00297886i 0.000868113 0.000232610i
\(165\) 14.1421 1.10096
\(166\) 1.66448 0.129188
\(167\) 9.75066 2.61268i 0.754529 0.202175i 0.139003 0.990292i \(-0.455610\pi\)
0.615526 + 0.788117i \(0.288944\pi\)
\(168\) 1.84970 + 1.89172i 0.142707 + 0.145950i
\(169\) 3.84499 + 12.4184i 0.295769 + 0.955260i
\(170\) −13.8932 24.0637i −1.06556 1.84560i
\(171\) 5.22199 + 1.39923i 0.399336 + 0.107002i
\(172\) −1.55572 2.69459i −0.118623 0.205461i
\(173\) −5.46401 + 9.46394i −0.415421 + 0.719530i −0.995473 0.0950498i \(-0.969699\pi\)
0.580052 + 0.814580i \(0.303032\pi\)
\(174\) −2.45895 + 2.45895i −0.186412 + 0.186412i
\(175\) 32.7438 18.4174i 2.47520 1.39222i
\(176\) −3.11756 0.835348i −0.234995 0.0629667i
\(177\) −6.22342 1.66756i −0.467781 0.125341i
\(178\) 17.8273i 1.33621i
\(179\) −8.69473 + 5.01990i −0.649875 + 0.375205i −0.788408 0.615152i \(-0.789094\pi\)
0.138534 + 0.990358i \(0.455761\pi\)
\(180\) −3.09834 3.09834i −0.230936 0.230936i
\(181\) 0.280875 0.0208773 0.0104386 0.999946i \(-0.496677\pi\)
0.0104386 + 0.999946i \(0.496677\pi\)
\(182\) 8.84217 + 3.57996i 0.655425 + 0.265364i
\(183\) −5.70985 −0.422084
\(184\) 1.40397 + 1.40397i 0.103502 + 0.103502i
\(185\) −0.682812 + 0.394222i −0.0502013 + 0.0289838i
\(186\) 8.54170i 0.626308i
\(187\) −19.7698 5.29731i −1.44571 0.387378i
\(188\) 3.71124 + 0.994423i 0.270670 + 0.0725257i
\(189\) 2.27629 + 1.34853i 0.165575 + 0.0980909i
\(190\) −16.7502 + 16.7502i −1.21519 + 1.21519i
\(191\) −1.99049 + 3.44763i −0.144027 + 0.249461i −0.929009 0.370056i \(-0.879338\pi\)
0.784983 + 0.619518i \(0.212672\pi\)
\(192\) 0.500000 + 0.866025i 0.0360844 + 0.0625000i
\(193\) −23.6743 6.34351i −1.70411 0.456616i −0.730143 0.683294i \(-0.760547\pi\)
−0.973970 + 0.226679i \(0.927213\pi\)
\(194\) −1.16494 2.01773i −0.0836375 0.144864i
\(195\) −14.7094 5.76403i −1.05337 0.412771i
\(196\) 6.13927 3.36295i 0.438519 0.240210i
\(197\) 3.65004 0.978025i 0.260054 0.0696814i −0.126436 0.991975i \(-0.540354\pi\)
0.386491 + 0.922293i \(0.373687\pi\)
\(198\) −3.22754 −0.229371
\(199\) −3.57417 −0.253366 −0.126683 0.991943i \(-0.540433\pi\)
−0.126683 + 0.991943i \(0.540433\pi\)
\(200\) 13.7155 3.67507i 0.969835 0.259866i
\(201\) −1.37471 5.13050i −0.0969647 0.361877i
\(202\) −2.15387 + 8.03835i −0.151546 + 0.565577i
\(203\) 4.51049 + 8.01907i 0.316574 + 0.562828i
\(204\) 3.17072 + 5.49185i 0.221995 + 0.384507i
\(205\) 0.0504310i 0.00352226i
\(206\) 0.617033 2.30280i 0.0429907 0.160443i
\(207\) 1.71950 + 0.992755i 0.119514 + 0.0690013i
\(208\) 2.90215 + 2.13951i 0.201228 + 0.148348i
\(209\) 17.4487i 1.20695i
\(210\) −10.1042 + 5.68332i −0.697258 + 0.392187i
\(211\) −7.71910 + 13.3699i −0.531405 + 0.920420i 0.467924 + 0.883769i \(0.345002\pi\)
−0.999328 + 0.0366508i \(0.988331\pi\)
\(212\) −10.7367 6.19883i −0.737399 0.425738i
\(213\) 1.61017 + 6.00925i 0.110327 + 0.411747i
\(214\) 3.01561 + 3.01561i 0.206143 + 0.206143i
\(215\) 13.1689 3.52860i 0.898111 0.240648i
\(216\) 0.707107 + 0.707107i 0.0481125 + 0.0481125i
\(217\) 21.7621 + 6.09392i 1.47731 + 0.413682i
\(218\) 16.2136 + 9.36090i 1.09812 + 0.634000i
\(219\) −2.54366 + 2.54366i −0.171885 + 0.171885i
\(220\) 7.07106 12.2474i 0.476731 0.825722i
\(221\) 18.4039 + 13.5676i 1.23798 + 0.912655i
\(222\) 0.155832 0.0899699i 0.0104588 0.00603838i
\(223\) −5.78209 21.5790i −0.387197 1.44504i −0.834674 0.550744i \(-0.814344\pi\)
0.447477 0.894295i \(-0.352323\pi\)
\(224\) 2.56313 0.656024i 0.171256 0.0438324i
\(225\) 12.2970 7.09968i 0.819801 0.473312i
\(226\) 2.00935 7.49899i 0.133660 0.498826i
\(227\) −16.3453 + 16.3453i −1.08488 + 1.08488i −0.0888311 + 0.996047i \(0.528313\pi\)
−0.996047 + 0.0888311i \(0.971687\pi\)
\(228\) 3.82276 3.82276i 0.253169 0.253169i
\(229\) 3.69250 13.7806i 0.244007 0.910646i −0.729873 0.683583i \(-0.760421\pi\)
0.973880 0.227064i \(-0.0729125\pi\)
\(230\) −7.53436 + 4.34996i −0.496801 + 0.286828i
\(231\) −2.30263 + 8.22294i −0.151502 + 0.541030i
\(232\) 0.900038 + 3.35899i 0.0590904 + 0.220528i
\(233\) −1.76570 + 1.01943i −0.115675 + 0.0667851i −0.556721 0.830699i \(-0.687941\pi\)
0.441046 + 0.897484i \(0.354608\pi\)
\(234\) 3.35701 + 1.31548i 0.219455 + 0.0859953i
\(235\) −8.41760 + 14.5797i −0.549104 + 0.951075i
\(236\) −4.55586 + 4.55586i −0.296561 + 0.296561i
\(237\) 13.2285 + 7.63746i 0.859282 + 0.496107i
\(238\) 16.2540 4.16014i 1.05359 0.269662i
\(239\) 7.26823 + 7.26823i 0.470143 + 0.470143i 0.901961 0.431818i \(-0.142128\pi\)
−0.431818 + 0.901961i \(0.642128\pi\)
\(240\) −4.23240 + 1.13407i −0.273201 + 0.0732039i
\(241\) 7.76419 + 7.76419i 0.500136 + 0.500136i 0.911480 0.411344i \(-0.134941\pi\)
−0.411344 + 0.911480i \(0.634941\pi\)
\(242\) 0.150895 + 0.563149i 0.00969991 + 0.0362006i
\(243\) 0.866025 + 0.500000i 0.0555556 + 0.0320750i
\(244\) −2.85492 + 4.94487i −0.182768 + 0.316563i
\(245\) 7.27100 + 29.7977i 0.464527 + 1.90370i
\(246\) 0.0115094i 0.000733816i
\(247\) 7.11173 18.1487i 0.452508 1.15477i
\(248\) 7.39733 + 4.27085i 0.469731 + 0.271199i
\(249\) 0.430798 1.60776i 0.0273007 0.101888i
\(250\) 40.3089i 2.54936i
\(251\) 6.53973 + 11.3271i 0.412784 + 0.714963i 0.995193 0.0979333i \(-0.0312232\pi\)
−0.582409 + 0.812896i \(0.697890\pi\)
\(252\) 2.30600 1.29706i 0.145264 0.0817069i
\(253\) −1.65859 + 6.18995i −0.104275 + 0.389159i
\(254\) 0.181603 + 0.677752i 0.0113948 + 0.0425259i
\(255\) −26.8396 + 7.19164i −1.68076 + 0.450358i
\(256\) 1.00000 0.0625000
\(257\) 0.0646125 0.00403042 0.00201521 0.999998i \(-0.499359\pi\)
0.00201521 + 0.999998i \(0.499359\pi\)
\(258\) −3.00543 + 0.805301i −0.187110 + 0.0501359i
\(259\) −0.118045 0.461209i −0.00733494 0.0286581i
\(260\) −12.3465 + 9.85674i −0.765698 + 0.611289i
\(261\) 1.73874 + 3.01158i 0.107625 + 0.186412i
\(262\) −6.88984 1.84613i −0.425656 0.114054i
\(263\) 1.99949 + 3.46323i 0.123294 + 0.213552i 0.921065 0.389409i \(-0.127321\pi\)
−0.797771 + 0.602961i \(0.793987\pi\)
\(264\) −1.61377 + 2.79513i −0.0993205 + 0.172028i
\(265\) 38.4121 38.4121i 2.35964 2.35964i
\(266\) −7.01215 12.4667i −0.429943 0.764383i
\(267\) −17.2198 4.61404i −1.05384 0.282375i
\(268\) −5.13050 1.37471i −0.313395 0.0839739i
\(269\) 4.29672i 0.261976i −0.991384 0.130988i \(-0.958185\pi\)
0.991384 0.130988i \(-0.0418149\pi\)
\(270\) −3.79467 + 2.19085i −0.230936 + 0.133331i
\(271\) −5.39082 5.39082i −0.327469 0.327469i 0.524154 0.851623i \(-0.324381\pi\)
−0.851623 + 0.524154i \(0.824381\pi\)
\(272\) 6.34145 0.384507
\(273\) 5.74650 7.61431i 0.347794 0.460839i
\(274\) 0.904896 0.0546668
\(275\) 32.4060 + 32.4060i 1.95415 + 1.95415i
\(276\) 1.71950 0.992755i 0.103502 0.0597569i
\(277\) 1.27884i 0.0768382i 0.999262 + 0.0384191i \(0.0122322\pi\)
−0.999262 + 0.0384191i \(0.987768\pi\)
\(278\) 19.8435 + 5.31705i 1.19013 + 0.318895i
\(279\) 8.25065 + 2.21076i 0.493954 + 0.132354i
\(280\) −0.130210 + 11.5922i −0.00778151 + 0.692765i
\(281\) 7.17377 7.17377i 0.427951 0.427951i −0.459979 0.887930i \(-0.652143\pi\)
0.887930 + 0.459979i \(0.152143\pi\)
\(282\) 1.92108 3.32740i 0.114398 0.198144i
\(283\) −2.16909 3.75698i −0.128939 0.223329i 0.794327 0.607491i \(-0.207824\pi\)
−0.923266 + 0.384162i \(0.874491\pi\)
\(284\) 6.00925 + 1.61017i 0.356583 + 0.0955462i
\(285\) 11.8442 + 20.5148i 0.701590 + 1.21519i
\(286\) −1.29680 + 11.5646i −0.0766815 + 0.683827i
\(287\) −0.0293232 0.00821120i −0.00173089 0.000484692i
\(288\) 0.965926 0.258819i 0.0569177 0.0152511i
\(289\) 23.2140 1.36553
\(290\) −15.2373 −0.894765
\(291\) −2.25048 + 0.603015i −0.131926 + 0.0353494i
\(292\) 0.931045 + 3.47471i 0.0544853 + 0.203342i
\(293\) −4.70535 + 17.5606i −0.274890 + 1.02590i 0.681026 + 0.732260i \(0.261534\pi\)
−0.955915 + 0.293643i \(0.905132\pi\)
\(294\) −1.65940 6.80047i −0.0967781 0.396611i
\(295\) −14.1156 24.4489i −0.821840 1.42347i
\(296\) 0.179940i 0.0104588i
\(297\) −0.835348 + 3.11756i −0.0484718 + 0.180899i
\(298\) −6.26270 3.61577i −0.362789 0.209456i
\(299\) 4.24802 5.76226i 0.245669 0.333240i
\(300\) 14.1994i 0.819801i
\(301\) −0.0924616 + 8.23159i −0.00532940 + 0.474461i
\(302\) 1.69400 2.93409i 0.0974786 0.168838i
\(303\) 7.20699 + 4.16096i 0.414031 + 0.239041i
\(304\) −1.39923 5.22199i −0.0802513 0.299502i
\(305\) −17.6910 17.6910i −1.01298 1.01298i
\(306\) 6.12537 1.64129i 0.350164 0.0938262i
\(307\) −7.72652 7.72652i −0.440976 0.440976i 0.451364 0.892340i \(-0.350938\pi\)
−0.892340 + 0.451364i \(0.850938\pi\)
\(308\) 5.96997 + 6.10560i 0.340170 + 0.347899i
\(309\) −2.06463 1.19202i −0.117453 0.0678114i
\(310\) −26.4651 + 26.4651i −1.50311 + 1.50311i
\(311\) −5.76925 + 9.99263i −0.327144 + 0.566630i −0.981944 0.189172i \(-0.939420\pi\)
0.654800 + 0.755802i \(0.272753\pi\)
\(312\) 2.81774 2.24952i 0.159523 0.127354i
\(313\) −15.6924 + 9.06000i −0.886986 + 0.512101i −0.872955 0.487800i \(-0.837799\pi\)
−0.0140304 + 0.999902i \(0.504466\pi\)
\(314\) 0.473111 + 1.76567i 0.0266992 + 0.0996428i
\(315\) 2.87450 + 11.2309i 0.161960 + 0.632789i
\(316\) 13.2285 7.63746i 0.744160 0.429641i
\(317\) 6.42219 23.9680i 0.360706 1.34617i −0.512443 0.858721i \(-0.671259\pi\)
0.873149 0.487453i \(-0.162074\pi\)
\(318\) −8.76647 + 8.76647i −0.491599 + 0.491599i
\(319\) −7.93634 + 7.93634i −0.444350 + 0.444350i
\(320\) −1.13407 + 4.23240i −0.0633964 + 0.236599i
\(321\) 3.69335 2.13236i 0.206143 0.119017i
\(322\) −1.30254 5.08912i −0.0725878 0.283606i
\(323\) −8.87314 33.1150i −0.493714 1.84257i
\(324\) 0.866025 0.500000i 0.0481125 0.0277778i
\(325\) −20.4980 46.9139i −1.13702 2.60232i
\(326\) 5.73106 9.92648i 0.317414 0.549777i
\(327\) 13.2383 13.2383i 0.732081 0.732081i
\(328\) −0.00996747 0.00575472i −0.000550362 0.000317751i
\(329\) −7.10682 7.26829i −0.391812 0.400714i
\(330\) −9.99999 9.99999i −0.550481 0.550481i
\(331\) −12.4551 + 3.33732i −0.684592 + 0.183436i −0.584319 0.811524i \(-0.698638\pi\)
−0.100273 + 0.994960i \(0.531972\pi\)
\(332\) −1.17696 1.17696i −0.0645942 0.0645942i
\(333\) −0.0465718 0.173808i −0.00255212 0.00952464i
\(334\) −8.74221 5.04731i −0.478352 0.276177i
\(335\) 11.6367 20.1553i 0.635780 1.10120i
\(336\) 0.0297166 2.64558i 0.00162117 0.144328i
\(337\) 10.2939i 0.560743i −0.959892 0.280372i \(-0.909542\pi\)
0.959892 0.280372i \(-0.0904577\pi\)
\(338\) 6.06230 11.4999i 0.329745 0.625514i
\(339\) −6.72341 3.88176i −0.365166 0.210829i
\(340\) −7.19164 + 26.8396i −0.390022 + 1.45558i
\(341\) 27.5687i 1.49293i
\(342\) −2.70310 4.68191i −0.146167 0.253169i
\(343\) −18.5097 0.623944i −0.999432 0.0336898i
\(344\) −0.805301 + 3.00543i −0.0434189 + 0.162042i
\(345\) 2.25171 + 8.40349i 0.121228 + 0.452428i
\(346\) 10.5557 2.82838i 0.567475 0.152055i
\(347\) 27.2227 1.46139 0.730694 0.682705i \(-0.239197\pi\)
0.730694 + 0.682705i \(0.239197\pi\)
\(348\) 3.47748 0.186412
\(349\) −20.4872 + 5.48954i −1.09666 + 0.293848i −0.761402 0.648280i \(-0.775489\pi\)
−0.335254 + 0.942128i \(0.608822\pi\)
\(350\) −36.1764 10.1303i −1.93371 0.541486i
\(351\) 2.13951 2.90215i 0.114199 0.154906i
\(352\) 1.61377 + 2.79513i 0.0860141 + 0.148981i
\(353\) 3.44843 + 0.924004i 0.183541 + 0.0491797i 0.349419 0.936967i \(-0.386379\pi\)
−0.165878 + 0.986146i \(0.553046\pi\)
\(354\) 3.22148 + 5.57976i 0.171220 + 0.296561i
\(355\) −13.6298 + 23.6075i −0.723395 + 1.25296i
\(356\) −12.6058 + 12.6058i −0.668106 + 0.668106i
\(357\) 0.188446 16.7768i 0.00997364 0.887924i
\(358\) 9.69771 + 2.59849i 0.512540 + 0.137335i
\(359\) −17.5556 4.70401i −0.926549 0.248268i −0.236167 0.971713i \(-0.575891\pi\)
−0.690383 + 0.723444i \(0.742558\pi\)
\(360\) 4.38171i 0.230936i
\(361\) −8.85688 + 5.11352i −0.466152 + 0.269133i
\(362\) −0.198609 0.198609i −0.0104386 0.0104386i
\(363\) 0.583014 0.0306003
\(364\) −3.72094 8.78377i −0.195030 0.460395i
\(365\) −15.7622 −0.825033
\(366\) 4.03747 + 4.03747i 0.211042 + 0.211042i
\(367\) 0.307242 0.177386i 0.0160379 0.00925948i −0.491960 0.870618i \(-0.663719\pi\)
0.507998 + 0.861359i \(0.330386\pi\)
\(368\) 1.98551i 0.103502i
\(369\) −0.0111173 0.00297886i −0.000578742 0.000155073i
\(370\) 0.761578 + 0.204064i 0.0395925 + 0.0106088i
\(371\) 16.0805 + 28.5890i 0.834857 + 1.48427i
\(372\) 6.03990 6.03990i 0.313154 0.313154i
\(373\) −10.6004 + 18.3604i −0.548867 + 0.950666i 0.449485 + 0.893288i \(0.351607\pi\)
−0.998353 + 0.0573783i \(0.981726\pi\)
\(374\) 10.2336 + 17.7252i 0.529168 + 0.916546i
\(375\) 38.9354 + 10.4327i 2.01062 + 0.538743i
\(376\) −1.92108 3.32740i −0.0990720 0.171598i
\(377\) 11.4894 5.02003i 0.591734 0.258545i
\(378\) −0.656024 2.56313i −0.0337422 0.131833i
\(379\) 10.3631 2.77679i 0.532317 0.142634i 0.0173592 0.999849i \(-0.494474\pi\)
0.514958 + 0.857215i \(0.327807\pi\)
\(380\) 23.6884 1.21519
\(381\) 0.701660 0.0359471
\(382\) 3.84533 1.03035i 0.196744 0.0527174i
\(383\) 3.79762 + 14.1729i 0.194049 + 0.724202i 0.992511 + 0.122156i \(0.0389809\pi\)
−0.798462 + 0.602046i \(0.794352\pi\)
\(384\) 0.258819 0.965926i 0.0132078 0.0492922i
\(385\) −32.6117 + 18.3431i −1.66205 + 0.934853i
\(386\) 12.2547 + 21.2258i 0.623748 + 1.08036i
\(387\) 3.11145i 0.158164i
\(388\) −0.603015 + 2.25048i −0.0306135 + 0.114251i
\(389\) −6.90619 3.98729i −0.350158 0.202164i 0.314597 0.949225i \(-0.398131\pi\)
−0.664755 + 0.747062i \(0.731464\pi\)
\(390\) 6.32536 + 14.4769i 0.320297 + 0.733068i
\(391\) 12.5910i 0.636755i
\(392\) −6.71908 1.96315i −0.339365 0.0991543i
\(393\) −3.56644 + 6.17726i −0.179903 + 0.311602i
\(394\) −3.27253 1.88940i −0.164868 0.0951865i
\(395\) 17.3228 + 64.6497i 0.871606 + 3.25288i
\(396\) 2.28221 + 2.28221i 0.114685 + 0.114685i
\(397\) 20.7747 5.56656i 1.04265 0.279378i 0.303440 0.952851i \(-0.401865\pi\)
0.739212 + 0.673473i \(0.235198\pi\)
\(398\) 2.52732 + 2.52732i 0.126683 + 0.126683i
\(399\) −13.8568 + 3.54660i −0.693708 + 0.177552i
\(400\) −12.2970 7.09968i −0.614850 0.354984i
\(401\) 15.3971 15.3971i 0.768896 0.768896i −0.209016 0.977912i \(-0.567026\pi\)
0.977912 + 0.209016i \(0.0670261\pi\)
\(402\) −2.65574 + 4.59988i −0.132456 + 0.229421i
\(403\) 11.2364 28.6746i 0.559725 1.42838i
\(404\) 7.20699 4.16096i 0.358561 0.207015i
\(405\) 1.13407 + 4.23240i 0.0563524 + 0.210310i
\(406\) 2.48094 8.85974i 0.123127 0.439701i
\(407\) 0.502955 0.290381i 0.0249305 0.0143936i
\(408\) 1.64129 6.12537i 0.0812558 0.303251i
\(409\) −22.8606 + 22.8606i −1.13038 + 1.13038i −0.140269 + 0.990113i \(0.544797\pi\)
−0.990113 + 0.140269i \(0.955203\pi\)
\(410\) 0.0356601 0.0356601i 0.00176113 0.00176113i
\(411\) 0.234204 0.874063i 0.0115525 0.0431143i
\(412\) −2.06463 + 1.19202i −0.101717 + 0.0587264i
\(413\) 16.5141 4.22673i 0.812607 0.207984i
\(414\) −0.513888 1.91786i −0.0252562 0.0942575i
\(415\) 6.31614 3.64662i 0.310047 0.179006i
\(416\) −0.539271 3.56499i −0.0264399 0.174788i
\(417\) 10.2718 17.7912i 0.503010 0.871239i
\(418\) 12.3381 12.3381i 0.603477 0.603477i
\(419\) −4.47379 2.58295i −0.218559 0.126185i 0.386724 0.922196i \(-0.373607\pi\)
−0.605283 + 0.796010i \(0.706940\pi\)
\(420\) 11.1635 + 3.12605i 0.544722 + 0.152536i
\(421\) 10.2156 + 10.2156i 0.497877 + 0.497877i 0.910777 0.412899i \(-0.135484\pi\)
−0.412899 + 0.910777i \(0.635484\pi\)
\(422\) 14.9122 3.99570i 0.725912 0.194508i
\(423\) −2.71681 2.71681i −0.132096 0.132096i
\(424\) 3.20875 + 11.9752i 0.155831 + 0.581568i
\(425\) −77.9808 45.0223i −3.78263 2.18390i
\(426\) 3.11062 5.38775i 0.150710 0.261037i
\(427\) 13.1669 7.40600i 0.637192 0.358401i
\(428\) 4.26472i 0.206143i
\(429\) 10.8349 + 4.24574i 0.523113 + 0.204986i
\(430\) −11.8069 6.81672i −0.569380 0.328732i
\(431\) −1.11609 + 4.16529i −0.0537600 + 0.200635i −0.987582 0.157102i \(-0.949785\pi\)
0.933822 + 0.357737i \(0.116452\pi\)
\(432\) 1.00000i 0.0481125i
\(433\) 19.0775 + 33.0433i 0.916808 + 1.58796i 0.804233 + 0.594314i \(0.202576\pi\)
0.112575 + 0.993643i \(0.464090\pi\)
\(434\) −11.0791 19.6972i −0.531813 0.945495i
\(435\) −3.94370 + 14.7181i −0.189086 + 0.705679i
\(436\) −4.84556 18.0839i −0.232060 0.866061i
\(437\) −10.3683 + 2.77818i −0.495984 + 0.132899i
\(438\) 3.59728 0.171885
\(439\) 19.7623 0.943205 0.471602 0.881811i \(-0.343676\pi\)
0.471602 + 0.881811i \(0.343676\pi\)
\(440\) −13.6602 + 3.66025i −0.651226 + 0.174496i
\(441\) −6.99823 0.157236i −0.333249 0.00748741i
\(442\) −3.41976 22.6072i −0.162661 1.07532i
\(443\) −13.7162 23.7572i −0.651677 1.12874i −0.982716 0.185120i \(-0.940733\pi\)
0.331039 0.943617i \(-0.392601\pi\)
\(444\) −0.173808 0.0465718i −0.00824858 0.00221020i
\(445\) −39.0570 67.6487i −1.85148 3.20686i
\(446\) −11.1701 + 19.3472i −0.528921 + 0.916118i
\(447\) −5.11347 + 5.11347i −0.241859 + 0.241859i
\(448\) −2.27629 1.34853i −0.107544 0.0637119i
\(449\) −21.2137 5.68419i −1.00114 0.268253i −0.279214 0.960229i \(-0.590074\pi\)
−0.721921 + 0.691975i \(0.756741\pi\)
\(450\) −13.7155 3.67507i −0.646556 0.173244i
\(451\) 0.0371472i 0.00174919i
\(452\) −6.72341 + 3.88176i −0.316243 + 0.182583i
\(453\) −2.39568 2.39568i −0.112559 0.112559i
\(454\) 23.1158 1.08488
\(455\) 41.3963 5.78712i 1.94069 0.271305i
\(456\) −5.40620 −0.253169
\(457\) −6.28612 6.28612i −0.294052 0.294052i 0.544626 0.838679i \(-0.316671\pi\)
−0.838679 + 0.544626i \(0.816671\pi\)
\(458\) −12.3553 + 7.13335i −0.577327 + 0.333320i
\(459\) 6.34145i 0.295993i
\(460\) 8.40349 + 2.25171i 0.391815 + 0.104986i
\(461\) −12.8354 3.43922i −0.597802 0.160181i −0.0527857 0.998606i \(-0.516810\pi\)
−0.545017 + 0.838425i \(0.683477\pi\)
\(462\) 7.44270 4.18630i 0.346266 0.194764i
\(463\) 16.8995 16.8995i 0.785385 0.785385i −0.195349 0.980734i \(-0.562584\pi\)
0.980734 + 0.195349i \(0.0625838\pi\)
\(464\) 1.73874 3.01158i 0.0807189 0.139809i
\(465\) 18.7136 + 32.4129i 0.867824 + 1.50311i
\(466\) 1.96939 + 0.527696i 0.0912301 + 0.0244450i
\(467\) −5.72210 9.91096i −0.264787 0.458625i 0.702721 0.711466i \(-0.251968\pi\)
−0.967508 + 0.252841i \(0.918635\pi\)
\(468\) −1.44358 3.30395i −0.0667297 0.152725i
\(469\) 9.82463 + 10.0479i 0.453659 + 0.463967i
\(470\) 16.2616 4.35727i 0.750089 0.200986i
\(471\) 1.82796 0.0842280
\(472\) 6.44295 0.296561
\(473\) −9.70012 + 2.59914i −0.446012 + 0.119509i
\(474\) −3.95344 14.7544i −0.181588 0.677694i
\(475\) −19.8682 + 74.1490i −0.911614 + 3.40219i
\(476\) −14.4349 8.55162i −0.661624 0.391963i
\(477\) 6.19883 + 10.7367i 0.283825 + 0.491599i
\(478\) 10.2788i 0.470143i
\(479\) −8.55605 + 31.9316i −0.390936 + 1.45899i 0.437658 + 0.899142i \(0.355808\pi\)
−0.828594 + 0.559850i \(0.810859\pi\)
\(480\) 3.79467 + 2.19085i 0.173202 + 0.0999983i
\(481\) −0.641484 + 0.0970362i −0.0292492 + 0.00442447i
\(482\) 10.9802i 0.500136i
\(483\) −5.25284 0.0590026i −0.239012 0.00268471i
\(484\) 0.291507 0.504905i 0.0132503 0.0229502i
\(485\) −8.84110 5.10441i −0.401454 0.231779i
\(486\) −0.258819 0.965926i −0.0117403 0.0438153i
\(487\) 26.5915 + 26.5915i 1.20498 + 1.20498i 0.972634 + 0.232343i \(0.0746391\pi\)
0.232343 + 0.972634i \(0.425361\pi\)
\(488\) 5.51529 1.47782i 0.249665 0.0668976i
\(489\) −8.10494 8.10494i −0.366518 0.366518i
\(490\) 15.9288 26.2115i 0.719588 1.18412i
\(491\) −14.7584 8.52076i −0.666036 0.384536i 0.128537 0.991705i \(-0.458972\pi\)
−0.794573 + 0.607168i \(0.792305\pi\)
\(492\) −0.00813841 + 0.00813841i −0.000366908 + 0.000366908i
\(493\) 11.0261 19.0978i 0.496592 0.860122i
\(494\) −17.8618 + 7.80431i −0.803641 + 0.351133i
\(495\) −12.2474 + 7.07106i −0.550481 + 0.317820i
\(496\) −2.21076 8.25065i −0.0992658 0.370465i
\(497\) −11.5074 11.7689i −0.516177 0.527905i
\(498\) −1.44148 + 0.832238i −0.0645942 + 0.0372935i
\(499\) 0.171927 0.641641i 0.00769651 0.0287238i −0.961971 0.273152i \(-0.911934\pi\)
0.969667 + 0.244429i \(0.0786004\pi\)
\(500\) 28.5027 28.5027i 1.27468 1.27468i
\(501\) −7.13798 + 7.13798i −0.318901 + 0.318901i
\(502\) 3.38521 12.6338i 0.151089 0.563873i
\(503\) −28.3846 + 16.3878i −1.26561 + 0.730698i −0.974153 0.225888i \(-0.927472\pi\)
−0.291452 + 0.956585i \(0.594138\pi\)
\(504\) −2.54775 0.713432i −0.113486 0.0317788i
\(505\) 9.43763 + 35.2217i 0.419969 + 1.56735i
\(506\) 5.54976 3.20415i 0.246717 0.142442i
\(507\) −9.53905 8.83213i −0.423644 0.392249i
\(508\) 0.350830 0.607656i 0.0155656 0.0269604i
\(509\) 21.7594 21.7594i 0.964469 0.964469i −0.0349214 0.999390i \(-0.511118\pi\)
0.999390 + 0.0349214i \(0.0111181\pi\)
\(510\) 24.0637 + 13.8932i 1.06556 + 0.615201i
\(511\) 2.56641 9.16496i 0.113532 0.405434i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −5.22199 + 1.39923i −0.230557 + 0.0617775i
\(514\) −0.0456880 0.0456880i −0.00201521 0.00201521i
\(515\) −2.70366 10.0902i −0.119137 0.444627i
\(516\) 2.69459 + 1.55572i 0.118623 + 0.0684869i
\(517\) 6.20034 10.7393i 0.272691 0.472314i
\(518\) −0.242654 + 0.409594i −0.0106616 + 0.0179965i
\(519\) 10.9280i 0.479687i
\(520\) 15.7001 + 1.76054i 0.688494 + 0.0772048i
\(521\) −25.3802 14.6533i −1.11193 0.641972i −0.172600 0.984992i \(-0.555217\pi\)
−0.939328 + 0.343020i \(0.888550\pi\)
\(522\) 0.900038 3.35899i 0.0393936 0.147019i
\(523\) 35.2285i 1.54043i −0.637782 0.770217i \(-0.720148\pi\)
0.637782 0.770217i \(-0.279852\pi\)
\(524\) 3.56644 + 6.17726i 0.155801 + 0.269855i
\(525\) −19.1482 + 32.3218i −0.835697 + 1.41064i
\(526\) 1.03501 3.86273i 0.0451288 0.168423i
\(527\) −14.0194 52.3211i −0.610694 2.27914i
\(528\) 3.11756 0.835348i 0.135674 0.0363538i
\(529\) 19.0577 0.828598
\(530\) −54.3230 −2.35964
\(531\) 6.22342 1.66756i 0.270073 0.0723659i
\(532\) −3.85696 + 13.7736i −0.167220 + 0.597163i
\(533\) −0.0151404 + 0.0386373i −0.000655803 + 0.00167357i
\(534\) 8.91365 + 15.4389i 0.385731 + 0.668106i
\(535\) 18.0500 + 4.83648i 0.780370 + 0.209099i
\(536\) 2.65574 + 4.59988i 0.114710 + 0.198684i
\(537\) 5.01990 8.69473i 0.216625 0.375205i
\(538\) −3.03824 + 3.03824i −0.130988 + 0.130988i
\(539\) −5.35577 21.9488i −0.230689 0.945400i
\(540\) 4.23240 + 1.13407i 0.182134 + 0.0488026i
\(541\) −3.56804 0.956053i −0.153402 0.0411039i 0.181301 0.983428i \(-0.441969\pi\)
−0.334703 + 0.942324i \(0.608636\pi\)
\(542\) 7.62377i 0.327469i
\(543\) −0.243245 + 0.140438i −0.0104386 + 0.00602676i
\(544\) −4.48408 4.48408i −0.192253 0.192253i
\(545\) 82.0335 3.51393
\(546\) −9.44752 + 1.32075i −0.404317 + 0.0565227i
\(547\) −21.9784 −0.939729 −0.469864 0.882739i \(-0.655697\pi\)
−0.469864 + 0.882739i \(0.655697\pi\)
\(548\) −0.639858 0.639858i −0.0273334 0.0273334i
\(549\) 4.94487 2.85492i 0.211042 0.121845i
\(550\) 45.8289i 1.95415i
\(551\) −18.1594 4.86579i −0.773615 0.207290i
\(552\) −1.91786 0.513888i −0.0816294 0.0218725i
\(553\) −40.4111 0.453919i −1.71845 0.0193026i
\(554\) 0.904278 0.904278i 0.0384191 0.0384191i
\(555\) 0.394222 0.682812i 0.0167338 0.0289838i
\(556\) −10.2718 17.7912i −0.435619 0.754515i
\(557\) 7.93096 + 2.12509i 0.336046 + 0.0900431i 0.422896 0.906178i \(-0.361014\pi\)
−0.0868504 + 0.996221i \(0.527680\pi\)
\(558\) −4.27085 7.39733i −0.180800 0.313154i
\(559\) 11.1486 + 1.25016i 0.471536 + 0.0528760i
\(560\) 8.28898 8.10484i 0.350273 0.342492i
\(561\) 19.7698 5.29731i 0.834683 0.223653i
\(562\) −10.1452 −0.427951
\(563\) 9.64925 0.406667 0.203334 0.979110i \(-0.434822\pi\)
0.203334 + 0.979110i \(0.434822\pi\)
\(564\) −3.71124 + 0.994423i −0.156271 + 0.0418727i
\(565\) −8.80438 32.8584i −0.370403 1.38236i
\(566\) −1.12281 + 4.19037i −0.0471950 + 0.176134i
\(567\) −2.64558 0.0297166i −0.111104 0.00124798i
\(568\) −3.11062 5.38775i −0.130519 0.226065i
\(569\) 24.3106i 1.01915i 0.860425 + 0.509577i \(0.170198\pi\)
−0.860425 + 0.509577i \(0.829802\pi\)
\(570\) 6.13101 22.8812i 0.256800 0.958390i
\(571\) −17.5708 10.1445i −0.735315 0.424534i 0.0850485 0.996377i \(-0.472895\pi\)
−0.820363 + 0.571843i \(0.806229\pi\)
\(572\) 9.09436 7.26040i 0.380254 0.303573i
\(573\) 3.98098i 0.166308i
\(574\) 0.0149284 + 0.0265408i 0.000623100 + 0.00110779i
\(575\) −14.0965 + 24.4158i −0.587864 + 1.01821i
\(576\) −0.866025 0.500000i −0.0360844 0.0208333i
\(577\) −8.41915 31.4207i −0.350494 1.30806i −0.886061 0.463568i \(-0.846569\pi\)
0.535568 0.844492i \(-0.320098\pi\)
\(578\) −16.4147 16.4147i −0.682763 0.682763i
\(579\) 23.6743 6.34351i 0.983870 0.263627i
\(580\) 10.7744 + 10.7744i 0.447382 + 0.447382i
\(581\) 1.09194 + 4.26627i 0.0453011 + 0.176995i
\(582\) 2.01773 + 1.16494i 0.0836375 + 0.0482882i
\(583\) −28.2941 + 28.2941i −1.17182 + 1.17182i
\(584\) 1.79864 3.11534i 0.0744283 0.128914i
\(585\) 15.6208 2.36293i 0.645839 0.0976950i
\(586\) 15.7444 9.09005i 0.650396 0.375506i
\(587\) −9.53490 35.5847i −0.393548 1.46874i −0.824240 0.566241i \(-0.808397\pi\)
0.430692 0.902499i \(-0.358269\pi\)
\(588\) −3.63529 + 5.98203i −0.149917 + 0.246695i
\(589\) −39.9915 + 23.0891i −1.64782 + 0.951370i
\(590\) −7.30676 + 27.2692i −0.300814 + 1.12265i
\(591\) −2.67201 + 2.67201i −0.109912 + 0.109912i
\(592\) −0.127237 + 0.127237i −0.00522939 + 0.00522939i
\(593\) −8.70551 + 32.4894i −0.357493 + 1.33418i 0.519826 + 0.854272i \(0.325997\pi\)
−0.877319 + 0.479908i \(0.840670\pi\)
\(594\) 2.79513 1.61377i 0.114685 0.0662137i
\(595\) 52.5641 51.3964i 2.15492 2.10705i
\(596\) 1.87166 + 6.98514i 0.0766662 + 0.286122i
\(597\) 3.09532 1.78708i 0.126683 0.0731405i
\(598\) −7.07834 + 1.07073i −0.289455 + 0.0437853i
\(599\) −4.56535 + 7.90742i −0.186535 + 0.323088i −0.944093 0.329680i \(-0.893059\pi\)
0.757558 + 0.652768i \(0.226393\pi\)
\(600\) −10.0405 + 10.0405i −0.409900 + 0.409900i
\(601\) −39.0133 22.5243i −1.59139 0.918787i −0.993070 0.117527i \(-0.962503\pi\)
−0.598316 0.801260i \(-0.704163\pi\)
\(602\) 5.88599 5.75523i 0.239895 0.234566i
\(603\) 3.75578 + 3.75578i 0.152947 + 0.152947i
\(604\) −3.27255 + 0.876878i −0.133158 + 0.0356797i
\(605\) 1.80637 + 1.80637i 0.0734396 + 0.0734396i
\(606\) −2.15387 8.03835i −0.0874950 0.326536i
\(607\) 16.8519 + 9.72944i 0.683997 + 0.394906i 0.801359 0.598183i \(-0.204111\pi\)
−0.117362 + 0.993089i \(0.537444\pi\)
\(608\) −2.70310 + 4.68191i −0.109625 + 0.189877i
\(609\) −7.91573 4.68948i −0.320762 0.190027i
\(610\) 25.0189i 1.01298i
\(611\) −10.8262 + 8.64300i −0.437981 + 0.349658i
\(612\) −5.49185 3.17072i −0.221995 0.128169i
\(613\) −3.76048 + 14.0343i −0.151884 + 0.566840i 0.847468 + 0.530847i \(0.178126\pi\)
−0.999352 + 0.0359930i \(0.988541\pi\)
\(614\) 10.9270i 0.440976i
\(615\) −0.0252155 0.0436746i −0.00101679 0.00176113i
\(616\) 0.0959114 8.53872i 0.00386438 0.344035i
\(617\) 4.14330 15.4630i 0.166803 0.622518i −0.831000 0.556272i \(-0.812231\pi\)
0.997803 0.0662456i \(-0.0211021\pi\)
\(618\) 0.617033 + 2.30280i 0.0248207 + 0.0926321i
\(619\) 41.5376 11.1300i 1.66954 0.447351i 0.704552 0.709652i \(-0.251148\pi\)
0.964986 + 0.262301i \(0.0844812\pi\)
\(620\) 37.4272 1.50311
\(621\) −1.98551 −0.0796758
\(622\) 11.1453 2.98638i 0.446887 0.119743i
\(623\) 45.6937 11.6951i 1.83068 0.468555i
\(624\) −3.58309 0.401793i −0.143439 0.0160846i
\(625\) 52.8126 + 91.4740i 2.11250 + 3.65896i
\(626\) 17.5026 + 4.68980i 0.699544 + 0.187442i
\(627\) −8.72436 15.1110i −0.348417 0.603477i
\(628\) 0.913980 1.58306i 0.0364718 0.0631710i
\(629\) −0.806864 + 0.806864i −0.0321718 + 0.0321718i
\(630\) 5.90885 9.97402i 0.235414 0.397374i
\(631\) −4.52314 1.21197i −0.180063 0.0482478i 0.167661 0.985845i \(-0.446379\pi\)
−0.347724 + 0.937597i \(0.613045\pi\)
\(632\) −14.7544 3.95344i −0.586900 0.157259i
\(633\) 15.4382i 0.613613i
\(634\) −21.4891 + 12.4067i −0.853440 + 0.492734i
\(635\) 2.17398 + 2.17398i 0.0862717 + 0.0862717i
\(636\) 12.3977 0.491599
\(637\) −3.37523 + 25.0122i −0.133732 + 0.991018i
\(638\) 11.2237 0.444350
\(639\) −4.39908 4.39908i −0.174025 0.174025i
\(640\) 3.79467 2.19085i 0.149998 0.0866011i
\(641\) 7.18039i 0.283608i −0.989895 0.141804i \(-0.954710\pi\)
0.989895 0.141804i \(-0.0452903\pi\)
\(642\) −4.11940 1.10379i −0.162580 0.0435631i
\(643\) 29.2307 + 7.83235i 1.15275 + 0.308878i 0.784066 0.620678i \(-0.213142\pi\)
0.368682 + 0.929556i \(0.379809\pi\)
\(644\) −2.67752 + 4.51959i −0.105509 + 0.178097i
\(645\) −9.64030 + 9.64030i −0.379586 + 0.379586i
\(646\) −17.1416 + 29.6901i −0.674427 + 1.16814i
\(647\) 9.25822 + 16.0357i 0.363978 + 0.630428i 0.988612 0.150490i \(-0.0480850\pi\)
−0.624634 + 0.780918i \(0.714752\pi\)
\(648\) −0.965926 0.258819i −0.0379452 0.0101674i
\(649\) 10.3974 + 18.0089i 0.408135 + 0.706910i
\(650\) −18.6789 + 47.6674i −0.732647 + 1.86967i
\(651\) −21.8935 + 5.60356i −0.858074 + 0.219621i
\(652\) −11.0716 + 2.96661i −0.433595 + 0.116182i
\(653\) −9.36427 −0.366452 −0.183226 0.983071i \(-0.558654\pi\)
−0.183226 + 0.983071i \(0.558654\pi\)
\(654\) −18.7218 −0.732081
\(655\) −30.1893 + 8.08919i −1.17959 + 0.316071i
\(656\) 0.00297886 + 0.0111173i 0.000116305 + 0.000434057i
\(657\) 0.931045 3.47471i 0.0363235 0.135561i
\(658\) −0.114176 + 10.1647i −0.00445104 + 0.396263i
\(659\) 16.2208 + 28.0953i 0.631874 + 1.09444i 0.987168 + 0.159683i \(0.0510473\pi\)
−0.355294 + 0.934754i \(0.615619\pi\)
\(660\) 14.1421i 0.550481i
\(661\) 1.08268 4.04063i 0.0421115 0.157162i −0.941668 0.336542i \(-0.890742\pi\)
0.983780 + 0.179380i \(0.0574092\pi\)
\(662\) 11.1669 + 6.44721i 0.434014 + 0.250578i
\(663\) −22.7220 2.54795i −0.882449 0.0989542i
\(664\) 1.66448i 0.0645942i
\(665\) −53.9216 31.9445i −2.09099 1.23875i
\(666\) −0.0899699 + 0.155832i −0.00348626 + 0.00603838i
\(667\) −5.97953 3.45229i −0.231528 0.133673i
\(668\) 2.61268 + 9.75066i 0.101088 + 0.377264i
\(669\) 15.7970 + 15.7970i 0.610745 + 0.610745i
\(670\) −22.4803 + 6.02359i −0.868491 + 0.232711i
\(671\) 13.0311 + 13.0311i 0.503059 + 0.503059i
\(672\) −1.89172 + 1.84970i −0.0729748 + 0.0713536i
\(673\) 24.5261 + 14.1601i 0.945412 + 0.545834i 0.891653 0.452720i \(-0.149546\pi\)
0.0537590 + 0.998554i \(0.482880\pi\)
\(674\) −7.27887 + 7.27887i −0.280372 + 0.280372i
\(675\) −7.09968 + 12.2970i −0.273267 + 0.473312i
\(676\) −12.4184 + 3.84499i −0.477630 + 0.147884i
\(677\) 23.0893 13.3306i 0.887395 0.512337i 0.0143051 0.999898i \(-0.495446\pi\)
0.873089 + 0.487560i \(0.162113\pi\)
\(678\) 2.00935 + 7.49899i 0.0771686 + 0.287997i
\(679\) 4.40747 4.30956i 0.169143 0.165386i
\(680\) 24.0637 13.8932i 0.922801 0.532779i
\(681\) 5.98281 22.3281i 0.229262 0.855616i
\(682\) 19.4940 19.4940i 0.746463 0.746463i
\(683\) 19.4046 19.4046i 0.742496 0.742496i −0.230562 0.973058i \(-0.574056\pi\)
0.973058 + 0.230562i \(0.0740565\pi\)
\(684\) −1.39923 + 5.22199i −0.0535008 + 0.199668i
\(685\) 3.43378 1.98250i 0.131198 0.0757473i
\(686\) 12.6472 + 13.5296i 0.482871 + 0.516561i
\(687\) 3.69250 + 13.7806i 0.140877 + 0.525762i
\(688\) 2.69459 1.55572i 0.102730 0.0593114i
\(689\) 40.9612 17.8971i 1.56050 0.681824i
\(690\) 4.34996 7.53436i 0.165600 0.286828i
\(691\) 12.9729 12.9729i 0.493511 0.493511i −0.415900 0.909410i \(-0.636533\pi\)
0.909410 + 0.415900i \(0.136533\pi\)
\(692\) −9.46394 5.46401i −0.359765 0.207710i
\(693\) −2.11734 8.27259i −0.0804311 0.314250i
\(694\) −19.2493 19.2493i −0.730694 0.730694i
\(695\) 86.9484 23.2978i 3.29814 0.883734i
\(696\) −2.45895 2.45895i −0.0932062 0.0932062i
\(697\) 0.0188903 + 0.0704996i 0.000715522 + 0.00267036i
\(698\) 18.3684 + 10.6050i 0.695252 + 0.401404i
\(699\) 1.01943 1.76570i 0.0385584 0.0667851i
\(700\) 18.4174 + 32.7438i 0.696112 + 1.23760i
\(701\) 41.7640i 1.57740i 0.614775 + 0.788702i \(0.289247\pi\)
−0.614775 + 0.788702i \(0.710753\pi\)
\(702\) −3.56499 + 0.539271i −0.134552 + 0.0203535i
\(703\) 0.842462 + 0.486396i 0.0317740 + 0.0183448i
\(704\) 0.835348 3.11756i 0.0314833 0.117497i
\(705\) 16.8352i 0.634050i
\(706\) −1.78504 3.09178i −0.0671808 0.116361i
\(707\) −22.0163 0.247299i −0.828009 0.00930064i
\(708\) 1.66756 6.22342i 0.0626707 0.233890i
\(709\) 2.22709 + 8.31161i 0.0836401 + 0.312149i 0.995053 0.0993436i \(-0.0316743\pi\)
−0.911413 + 0.411493i \(0.865008\pi\)
\(710\) 26.3308 7.05531i 0.988176 0.264781i
\(711\) −15.2749 −0.572854
\(712\) 17.8273 0.668106
\(713\) −16.3818 + 4.38948i −0.613502 + 0.164387i
\(714\) −11.9963 + 11.7298i −0.448949 + 0.438975i
\(715\) 20.4153 + 46.7248i 0.763490 + 1.74741i
\(716\) −5.01990 8.69473i −0.187603 0.324937i
\(717\) −9.92859 2.66036i −0.370790 0.0993529i
\(718\) 9.08745 + 15.7399i 0.339141 + 0.587409i
\(719\) −8.55226 + 14.8130i −0.318946 + 0.552430i −0.980268 0.197672i \(-0.936662\pi\)
0.661323 + 0.750101i \(0.269995\pi\)
\(720\) 3.09834 3.09834i 0.115468 0.115468i
\(721\) 6.30716 + 0.0708453i 0.234891 + 0.00263842i
\(722\) 9.87857 + 2.64696i 0.367642 + 0.0985095i
\(723\) −10.6061 2.84189i −0.394444 0.105691i
\(724\) 0.280875i 0.0104386i
\(725\) −42.7626 + 24.6890i −1.58816 + 0.916926i
\(726\) −0.412253 0.412253i −0.0153002 0.0153002i
\(727\) −45.6775 −1.69409 −0.847043 0.531525i \(-0.821619\pi\)
−0.847043 + 0.531525i \(0.821619\pi\)
\(728\) −3.57996 + 8.84217i −0.132682 + 0.327712i
\(729\) −1.00000 −0.0370370
\(730\) 11.1456 + 11.1456i 0.412517 + 0.412517i
\(731\) 17.0876 9.86553i 0.632008 0.364890i
\(732\) 5.70985i 0.211042i
\(733\) 33.2325 + 8.90463i 1.22747 + 0.328900i 0.813594 0.581433i \(-0.197508\pi\)
0.413877 + 0.910333i \(0.364174\pi\)
\(734\) −0.342684 0.0918218i −0.0126487 0.00338920i
\(735\) −21.1957 22.1700i −0.781815 0.817754i
\(736\) −1.40397 + 1.40397i −0.0517510 + 0.0517510i
\(737\) −8.57149 + 14.8463i −0.315735 + 0.546869i
\(738\) 0.00575472 + 0.00996747i 0.000211834 + 0.000366908i
\(739\) −2.12943 0.570579i −0.0783323 0.0209891i 0.219440 0.975626i \(-0.429577\pi\)
−0.297772 + 0.954637i \(0.596244\pi\)
\(740\) −0.394222 0.682812i −0.0144919 0.0251007i
\(741\) 2.91541 + 19.2731i 0.107100 + 0.708015i
\(742\) 8.84489 31.5861i 0.324706 1.15956i
\(743\) −22.1382 + 5.93191i −0.812172 + 0.217621i −0.640921 0.767607i \(-0.721447\pi\)
−0.171251 + 0.985227i \(0.554781\pi\)
\(744\) −8.54170 −0.313154
\(745\) −31.6865 −1.16090
\(746\) 20.4784 5.48717i 0.749767 0.200899i
\(747\) 0.430798 + 1.60776i 0.0157621 + 0.0588249i
\(748\) 5.29731 19.7698i 0.193689 0.722857i
\(749\) −5.75109 + 9.70771i −0.210140 + 0.354712i
\(750\) −20.1545 34.9086i −0.735937 1.27468i
\(751\) 37.7097i 1.37605i −0.725689 0.688023i \(-0.758479\pi\)
0.725689 0.688023i \(-0.241521\pi\)
\(752\) −0.994423 + 3.71124i −0.0362629 + 0.135335i
\(753\) −11.3271 6.53973i −0.412784 0.238321i
\(754\) −11.6739 4.57454i −0.425140 0.166595i
\(755\) 14.8452i 0.540273i
\(756\) −1.34853 + 2.27629i −0.0490455 + 0.0827877i
\(757\) −14.6011 + 25.2898i −0.530685 + 0.919173i 0.468674 + 0.883371i \(0.344732\pi\)
−0.999359 + 0.0358019i \(0.988601\pi\)
\(758\) −9.29131 5.36434i −0.337476 0.194842i
\(759\) −1.65859 6.18995i −0.0602031 0.224681i
\(760\) −16.7502 16.7502i −0.607595 0.607595i
\(761\) −29.1354 + 7.80681i −1.05616 + 0.282997i −0.744794 0.667294i \(-0.767452\pi\)
−0.311364 + 0.950291i \(0.600786\pi\)
\(762\) −0.496149 0.496149i −0.0179736 0.0179736i
\(763\) −13.3567 + 47.6984i −0.483546 + 1.72680i
\(764\) −3.44763 1.99049i −0.124731 0.0720133i
\(765\) 19.6479 19.6479i 0.710372 0.710372i
\(766\) 7.33644 12.7071i 0.265076 0.459126i
\(767\) −3.47450 22.9691i −0.125457 0.829366i
\(768\) −0.866025 + 0.500000i −0.0312500 + 0.0180422i
\(769\) 5.78494 + 21.5897i 0.208610 + 0.778544i 0.988319 + 0.152401i \(0.0487006\pi\)
−0.779709 + 0.626143i \(0.784633\pi\)
\(770\) 36.0305 + 10.0894i 1.29845 + 0.363598i
\(771\) −0.0559561 + 0.0323063i −0.00201521 + 0.00116348i
\(772\) 6.34351 23.6743i 0.228308 0.852056i
\(773\) −0.327420 + 0.327420i −0.0117765 + 0.0117765i −0.712971 0.701194i \(-0.752651\pi\)
0.701194 + 0.712971i \(0.252651\pi\)
\(774\)