Properties

Label 546.2.cg.b.145.1
Level $546$
Weight $2$
Character 546.145
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 145.1
Character \(\chi\) \(=\) 546.145
Dual form 546.2.cg.b.241.1

$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(1\) \(e\left(\frac{1}{12}\right)\)

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 −0.894610 + 0.446848i \(0.852547\pi\)
−0.998179 + 0.0603236i \(0.980787\pi\)
\(6\) 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 0.243875 0.969807i \(-0.421581\pi\)
0.696105 + 0.717940i \(0.254915\pi\)
\(12\) −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 −0.597262 0.802046i \(-0.703745\pi\)
0.918267 0.395961i \(-0.129589\pi\)
\(20\) 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 \(-0.933629\pi\)
0.978340 0.207004i \(-0.0663713\pi\)
\(24\) −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 0.658204 0.752839i \(-0.271316\pi\)
−0.981080 + 0.193602i \(0.937983\pi\)
\(30\) −3.79467 + 2.19085i −0.692809 + 0.399993i
\(31\) 2.21076 8.25065i 0.397063 1.48186i −0.421174 0.906980i \(-0.638382\pi\)
0.818237 0.574881i \(-0.194952\pi\)
\(32\) 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 0.717488 0.696571i \(-0.245292\pi\)
−0.696571 + 0.717488i \(0.745292\pi\)
\(38\) 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 −0.966158 0.257951i \(-0.916953\pi\)
0.965693 + 0.259687i \(0.0836194\pi\)
\(42\) 1.89172 + 1.84970i 0.291899 + 0.285415i
\(43\) −2.69459 1.55572i −0.410921 0.237245i 0.280264 0.959923i \(-0.409578\pi\)
−0.691185 + 0.722677i \(0.742911\pi\)
\(44\) −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 0.999753 + 0.0222199i \(0.00707338\pi\)
−0.854702 + 0.519120i \(0.826260\pi\)
\(48\) 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 −0.879877 0.475202i \(-0.842375\pi\)
0.0284016 0.999597i \(-0.490958\pi\)
\(54\) 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 −0.345351 0.938473i \(-0.612240\pi\)
0.938473 + 0.345351i \(0.112240\pi\)
\(60\) 1.13407 4.23240i 0.146408 0.546401i
\(61\) 4.94487 2.85492i 0.633126 0.365535i −0.148836 0.988862i \(-0.547553\pi\)
0.781962 + 0.623326i \(0.214219\pi\)
\(62\) 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 −0.997646 0.0685772i \(-0.978154\pi\)
0.829698 0.558213i \(-0.188513\pi\)
\(68\) 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 0.993244 + 0.116046i \(0.0370220\pi\)
−0.802151 + 0.597121i \(0.796311\pi\)
\(72\) −0.258819 + 0.965926i −0.0305021 + 0.113835i
\(73\) 3.47471 + 0.931045i 0.406684 + 0.108971i 0.456361 0.889795i \(-0.349153\pi\)
−0.0496772 + 0.998765i \(0.515819\pi\)
\(74\) −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 0.0133334 + 0.999911i \(0.495756\pi\)
−0.872615 + 0.488408i \(0.837578\pi\)
\(80\) 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 0.639556 0.768744i \(-0.279118\pi\)
−0.768744 + 0.639556i \(0.779118\pi\)
\(84\) −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 0.436516 0.899696i \(-0.356212\pi\)
0.899696 0.436516i \(-0.143788\pi\)
\(90\) 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 −0.142751 0.989759i \(-0.545595\pi\)
0.371253 + 0.928532i \(0.378928\pi\)
\(98\) −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 −0.995326 0.0965702i \(-0.969213\pi\)
0.581295 + 0.813693i \(0.302546\pi\)
\(102\) −6.12537 + 1.64129i −0.606502 + 0.162512i
\(103\) 1.19202 2.06463i 0.117453 0.203434i −0.801305 0.598256i \(-0.795860\pi\)
0.918758 + 0.394822i \(0.129194\pi\)
\(104\) −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 −0.751451 0.659789i \(-0.770646\pi\)
−0.980670 + 0.195668i \(0.937312\pi\)
\(110\) 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 −0.623637 0.781714i \(-0.714346\pi\)
0.988803 + 0.149228i \(0.0476790\pi\)
\(114\) 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 −0.526718 0.850040i \(-0.676578\pi\)
0.472797 + 0.881171i \(0.343244\pi\)
\(128\) −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 0.744961 0.667108i \(-0.232468\pi\)
−0.205252 + 0.978709i \(0.565801\pi\)
\(132\) −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 0.679245 0.733912i \(-0.262307\pi\)
−0.733912 + 0.679245i \(0.762307\pi\)
\(138\) −0.513888 1.91786i −0.0437451 0.163259i
\(139\) −17.7912 10.2718i −1.50903 0.871239i −0.999945 0.0105224i \(-0.996651\pi\)
−0.509085 0.860716i \(-0.670016\pi\)
\(140\) −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 0.533326 0.845910i \(-0.320942\pi\)
0.0389188 + 0.999242i \(0.487609\pi\)
\(150\) 10.0405 10.0405i 0.819801 0.819801i
\(151\) 0.876878 3.27255i 0.0713593 0.266317i −0.921024 0.389506i \(-0.872646\pi\)
0.992383 + 0.123190i \(0.0393123\pi\)
\(152\) 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 −0.561839 0.827247i \(-0.689906\pi\)
0.435497 + 0.900190i \(0.356573\pi\)
\(158\) −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 −0.746957 0.664873i \(-0.768486\pi\)
0.979320 0.202318i \(-0.0648475\pi\)
\(164\) 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 0.615526 0.788117i \(-0.288944\pi\)
0.139003 + 0.990292i \(0.455610\pi\)
\(168\) 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 0.580052 0.814580i \(-0.303032\pi\)
−0.995473 + 0.0950498i \(0.969699\pi\)
\(174\) −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 0.138534 0.990358i \(-0.455761\pi\)
−0.788408 + 0.615152i \(0.789094\pi\)
\(180\) −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 0.784983 0.619518i \(-0.212672\pi\)
−0.929009 + 0.370056i \(0.879338\pi\)
\(192\) 0.500000 0.866025i 0.0360844 0.0625000i
\(193\) −23.6743 + 6.34351i −1.70411 + 0.456616i −0.973970 0.226679i \(-0.927213\pi\)
−0.730143 + 0.683294i \(0.760547\pi\)
\(194\) −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 0.386491 0.922293i \(-0.373687\pi\)
−0.126436 + 0.991975i \(0.540354\pi\)
\(198\) −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 −0.999328 0.0366508i \(-0.988331\pi\)
0.467924 0.883769i \(-0.345002\pi\)
\(212\) −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 0.447477 + 0.894295i \(0.352323\pi\)
−0.834674 + 0.550744i \(0.814344\pi\)
\(224\) 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 −0.996047 0.0888311i \(-0.971687\pi\)
−0.0888311 0.996047i \(-0.528313\pi\)
\(228\) 3.82276 + 3.82276i 0.253169 + 0.253169i
\(229\) 3.69250 + 13.7806i 0.244007 + 0.910646i 0.973880 + 0.227064i \(0.0729125\pi\)
−0.729873 + 0.683583i \(0.760421\pi\)
\(230\) −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 0.441046 0.897484i \(-0.354608\pi\)
−0.556721 + 0.830699i \(0.687941\pi\)
\(234\) 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 −0.431818 0.901961i \(-0.642128\pi\)
0.901961 + 0.431818i \(0.142128\pi\)
\(240\) −4.23240 1.13407i −0.273201 0.0732039i
\(241\) 7.76419 7.76419i 0.500136 0.500136i −0.411344 0.911480i \(-0.634941\pi\)
0.911480 + 0.411344i \(0.134941\pi\)
\(242\) 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 −0.582409 0.812896i \(-0.697890\pi\)
0.995193 + 0.0979333i \(0.0312232\pi\)
\(252\) 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 −0.797771 0.602961i \(-0.793987\pi\)
0.921065 + 0.389409i \(0.127321\pi\)
\(264\) −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 \(0.0418149\pi\)
−0.991384 + 0.130988i \(0.958185\pi\)
\(270\) −3.79467 2.19085i −0.230936 0.133331i
\(271\) −5.39082 + 5.39082i −0.327469 + 0.327469i −0.851623 0.524154i \(-0.824381\pi\)
0.524154 + 0.851623i \(0.324381\pi\)
\(272\) 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 \(-0.987768\pi\)
0.999262 0.0384191i \(-0.0122322\pi\)
\(278\) 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 0.887930 0.459979i \(-0.152143\pi\)
−0.459979 + 0.887930i \(0.652143\pi\)
\(282\) 1.92108 + 3.32740i 0.114398 + 0.198144i
\(283\) −2.16909 + 3.75698i −0.128939 + 0.223329i −0.923266 0.384162i \(-0.874491\pi\)
0.794327 + 0.607491i \(0.207824\pi\)
\(284\) 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 −0.955915 0.293643i \(-0.905132\pi\)
0.681026 0.732260i \(-0.261534\pi\)
\(294\) −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 −0.892340 0.451364i \(-0.850938\pi\)
0.451364 + 0.892340i \(0.350938\pi\)
\(308\) 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 0.654800 0.755802i \(-0.272753\pi\)
−0.981944 + 0.189172i \(0.939420\pi\)
\(312\) 2.81774 + 2.24952i 0.159523 + 0.127354i
\(313\) −15.6924 9.06000i −0.886986 0.512101i −0.0140304 0.999902i \(-0.504466\pi\)
−0.872955 + 0.487800i \(0.837799\pi\)
\(314\) 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 0.873149 + 0.487453i \(0.162074\pi\)
−0.512443 + 0.858721i \(0.671259\pi\)
\(318\) −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 −0.100273 0.994960i \(-0.531972\pi\)
−0.584319 + 0.811524i \(0.698638\pi\)
\(332\) −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 \(0.0904577\pi\)
−0.959892 + 0.280372i \(0.909542\pi\)
\(338\) 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 −0.335254 0.942128i \(-0.608822\pi\)
−0.761402 + 0.648280i \(0.775489\pi\)
\(350\) −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 −0.165878 0.986146i \(-0.553046\pi\)
0.349419 + 0.936967i \(0.386379\pi\)
\(354\) 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 −0.690383 0.723444i \(-0.742558\pi\)
−0.236167 + 0.971713i \(0.575891\pi\)
\(360\) 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 0.507998 0.861359i \(-0.330386\pi\)
−0.491960 + 0.870618i \(0.663719\pi\)
\(368\) 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 −0.998353 0.0573783i \(-0.981726\pi\)
0.449485 0.893288i \(-0.351607\pi\)
\(374\) 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 0.514958 0.857215i \(-0.327807\pi\)
0.0173592 + 0.999849i \(0.494474\pi\)
\(380\) 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 −0.798462 0.602046i \(-0.794352\pi\)
0.992511 0.122156i \(-0.0389809\pi\)
\(384\) 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 −0.664755 0.747062i \(-0.731464\pi\)
0.314597 + 0.949225i \(0.398131\pi\)
\(390\) 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 0.739212 0.673473i \(-0.235198\pi\)
0.303440 + 0.952851i \(0.401865\pi\)
\(398\) 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 0.977912 0.209016i \(-0.0670261\pi\)
−0.209016 + 0.977912i \(0.567026\pi\)
\(402\) −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 −0.990113 0.140269i \(-0.955203\pi\)
−0.140269 0.990113i \(-0.544797\pi\)
\(410\) 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 −0.605283 0.796010i \(-0.706940\pi\)
0.386724 + 0.922196i \(0.373607\pi\)
\(420\) 11.1635 3.12605i 0.544722 0.152536i
\(421\) 10.2156 10.2156i 0.497877 0.497877i −0.412899 0.910777i \(-0.635484\pi\)
0.910777 + 0.412899i \(0.135484\pi\)
\(422\) 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 0.933822 0.357737i \(-0.116452\pi\)
−0.987582 + 0.157102i \(0.949785\pi\)
\(432\) 1.00000i 0.0481125i
\(433\) 19.0775 33.0433i 0.916808 1.58796i 0.112575 0.993643i \(-0.464090\pi\)
0.804233 0.594314i \(-0.202576\pi\)
\(434\) −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 0.331039 + 0.943617i \(0.392601\pi\)
−0.982716 + 0.185120i \(0.940733\pi\)
\(444\) −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 −0.721921 0.691975i \(-0.756741\pi\)
−0.279214 + 0.960229i \(0.590074\pi\)
\(450\) −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 −0.838679 0.544626i \(-0.816671\pi\)
0.544626 + 0.838679i \(0.316671\pi\)
\(458\) −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 −0.545017 0.838425i \(-0.683477\pi\)
−0.0527857 + 0.998606i \(0.516810\pi\)
\(462\) 7.44270 + 4.18630i 0.346266 + 0.194764i
\(463\) 16.8995 + 16.8995i 0.785385 + 0.785385i 0.980734 0.195349i \(-0.0625838\pi\)
−0.195349 + 0.980734i \(0.562584\pi\)
\(464\) 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 −0.967508 0.252841i \(-0.918635\pi\)
0.702721 + 0.711466i \(0.251968\pi\)
\(468\) −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 −0.828594 0.559850i \(-0.810859\pi\)
0.437658 0.899142i \(-0.355808\pi\)
\(480\) 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 0.232343 0.972634i \(-0.425361\pi\)
0.972634 0.232343i \(-0.0746391\pi\)
\(488\) 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 −0.794573 0.607168i \(-0.792305\pi\)
0.128537 + 0.991705i \(0.458972\pi\)
\(492\) −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 0.969667 0.244429i \(-0.0786004\pi\)
−0.961971 + 0.273152i \(0.911934\pi\)
\(500\) 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 −0.291452 0.956585i \(-0.594138\pi\)
−0.974153 + 0.225888i \(0.927472\pi\)
\(504\) −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 0.999390 0.0349214i \(-0.0111181\pi\)
−0.0349214 + 0.999390i \(0.511118\pi\)
\(510\) 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 −0.939328 0.343020i \(-0.888550\pi\)
−0.172600 + 0.984992i \(0.555217\pi\)
\(522\) 0.900038 + 3.35899i 0.0393936 + 0.147019i
\(523\) 35.2285i 1.54043i 0.637782 + 0.770217i \(0.279852\pi\)
−0.637782 + 0.770217i \(0.720148\pi\)
\(524\) 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 −0.334703 0.942324i \(-0.608636\pi\)
0.181301 + 0.983428i \(0.441969\pi\)
\(542\) 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 −0.0868504 0.996221i \(-0.527680\pi\)
0.422896 + 0.906178i \(0.361014\pi\)
\(558\) −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 \(-0.829802\pi\)
0.860425 0.509577i \(-0.170198\pi\)
\(570\) 6.13101 + 22.8812i 0.256800 + 0.958390i
\(571\) −17.5708 + 10.1445i −0.735315 + 0.424534i −0.820363 0.571843i \(-0.806229\pi\)
0.0850485 + 0.996377i \(0.472895\pi\)
\(572\) 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 0.535568 + 0.844492i \(0.320098\pi\)
−0.886061 + 0.463568i \(0.846569\pi\)
\(578\) −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 0.430692 + 0.902499i \(0.358269\pi\)
−0.824240 + 0.566241i \(0.808397\pi\)
\(588\) −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 −0.877319 0.479908i \(-0.840670\pi\)
0.519826 0.854272i \(-0.325997\pi\)
\(594\) 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 0.757558 0.652768i \(-0.226393\pi\)
−0.944093 + 0.329680i \(0.893059\pi\)
\(600\) −10.0405 10.0405i −0.409900 0.409900i
\(601\) −39.0133 + 22.5243i −1.59139 + 0.918787i −0.598316 + 0.801260i \(0.704163\pi\)
−0.993070 + 0.117527i \(0.962503\pi\)
\(602\) 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 −0.117362 0.993089i \(-0.537444\pi\)
0.801359 + 0.598183i \(0.204111\pi\)
\(608\) −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 −0.999352 0.0359930i \(-0.988541\pi\)
0.847468 0.530847i \(-0.178126\pi\)
\(614\) 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 0.997803 + 0.0662456i \(0.0211021\pi\)
−0.831000 + 0.556272i \(0.812231\pi\)
\(618\) 0.617033 2.30280i 0.0248207 0.0926321i
\(619\) 41.5376 + 11.1300i 1.66954 + 0.447351i 0.964986 0.262301i \(-0.0844812\pi\)
0.704552 + 0.709652i \(0.251148\pi\)
\(620\) 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 −0.347724 0.937597i \(-0.613045\pi\)
0.167661 + 0.985845i \(0.446379\pi\)
\(632\) −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 \(0.0452903\pi\)
−0.989895 + 0.141804i \(0.954710\pi\)
\(642\) −4.11940 + 1.10379i −0.162580 + 0.0435631i
\(643\) 29.2307 7.83235i 1.15275 0.308878i 0.368682 0.929556i \(-0.379809\pi\)
0.784066 + 0.620678i \(0.213142\pi\)
\(644\) −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 −0.624634 0.780918i \(-0.714752\pi\)
0.988612 + 0.150490i \(0.0480850\pi\)
\(648\) −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 −0.355294 0.934754i \(-0.615619\pi\)
0.987168 0.159683i \(-0.0510473\pi\)
\(660\) 14.1421i 0.550481i
\(661\) 1.08268 + 4.04063i 0.0421115 + 0.157162i 0.983780 0.179380i \(-0.0574092\pi\)
−0.941668 + 0.336542i \(0.890742\pi\)
\(662\) 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 0.0537590 0.998554i \(-0.482880\pi\)
0.891653 + 0.452720i \(0.149546\pi\)
\(674\) −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 0.873089 0.487560i \(-0.162113\pi\)
0.0143051 + 0.999898i \(0.495446\pi\)
\(678\) 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 0.973058 0.230562i \(-0.0740565\pi\)
−0.230562 + 0.973058i \(0.574056\pi\)
\(684\) −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 0.909410 0.415900i \(-0.136533\pi\)
−0.415900 + 0.909410i \(0.636533\pi\)
\(692\) −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 \(-0.710753\pi\)
0.614775 0.788702i \(-0.289247\pi\)
\(702\) −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 −0.911413 0.411493i \(-0.865008\pi\)
0.995053 + 0.0993436i \(0.0316743\pi\)
\(710\) 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 0.661323 0.750101i \(-0.269995\pi\)
−0.980268 + 0.197672i \(0.936662\pi\)
\(720\) 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 0.413877 0.910333i \(-0.364174\pi\)
0.813594 + 0.581433i \(0.197508\pi\)
\(734\) −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 −0.297772 0.954637i \(-0.596244\pi\)
0.219440 + 0.975626i \(0.429577\pi\)
\(740\) −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 −0.171251 0.985227i \(-0.554781\pi\)
−0.640921 + 0.767607i \(0.721447\pi\)
\(744\) −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 \(0.241521\pi\)
−0.725689 + 0.688023i \(0.758479\pi\)
\(752\) −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 −0.999359 0.0358019i \(-0.988601\pi\)
0.468674 0.883371i \(-0.344732\pi\)
\(758\) −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 −0.311364 0.950291i \(-0.600786\pi\)
−0.744794 + 0.667294i \(0.767452\pi\)
\(762\) −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 −0.779709 0.626143i \(-0.784633\pi\)
0.988319 0.152401i \(-0.0487006\pi\)
\(770\) 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 0.701194 0.712971i \(-0.252651\pi\)
−0.712971 + 0.701194i \(0.752651\pi\)
\(774\) 2.20012 +