Properties

Label 648.2.bb.b.131.91
Level $648$
Weight $2$
Character 648.131
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 131.91
Character \(\chi\) \(=\) 648.131
Dual form 648.2.bb.b.371.91

$q$-expansion

\(f(q)\) \(=\) \(q+(1.28114 - 0.598910i) q^{2} +(-0.161308 - 1.72452i) q^{3} +(1.28261 - 1.53457i) q^{4} +(0.0476203 - 0.817609i) q^{5} +(-1.23949 - 2.11274i) q^{6} +(0.895235 + 3.77729i) q^{7} +(0.724135 - 2.73416i) q^{8} +(-2.94796 + 0.556359i) q^{9} +O(q^{10})\) \(q+(1.28114 - 0.598910i) q^{2} +(-0.161308 - 1.72452i) q^{3} +(1.28261 - 1.53457i) q^{4} +(0.0476203 - 0.817609i) q^{5} +(-1.23949 - 2.11274i) q^{6} +(0.895235 + 3.77729i) q^{7} +(0.724135 - 2.73416i) q^{8} +(-2.94796 + 0.556359i) q^{9} +(-0.428666 - 1.07599i) q^{10} +(-2.10128 - 3.19483i) q^{11} +(-2.85329 - 1.96436i) q^{12} +(-0.800672 - 6.85019i) q^{13} +(3.40918 + 4.30306i) q^{14} +(-1.41767 + 0.0497645i) q^{15} +(-0.709799 - 3.93652i) q^{16} +(-1.41251 + 1.68336i) q^{17} +(-3.44353 + 2.47833i) q^{18} +(3.21745 - 2.69976i) q^{19} +(-1.19360 - 1.12175i) q^{20} +(6.36962 - 2.15316i) q^{21} +(-4.60544 - 2.83454i) q^{22} +(1.39715 + 0.331130i) q^{23} +(-4.83193 - 0.807746i) q^{24} +(4.29998 + 0.502595i) q^{25} +(-5.12841 - 8.29648i) q^{26} +(1.43498 + 4.99408i) q^{27} +(6.94476 + 3.47101i) q^{28} +(-5.67199 + 7.61881i) q^{29} +(-1.78642 + 0.912809i) q^{30} +(5.07819 - 1.52031i) q^{31} +(-3.26697 - 4.61811i) q^{32} +(-5.17061 + 4.13905i) q^{33} +(-0.801433 + 3.00258i) q^{34} +(3.13098 - 0.552076i) q^{35} +(-2.92733 + 5.23744i) q^{36} +(1.02854 + 0.181359i) q^{37} +(2.50507 - 5.38571i) q^{38} +(-11.6841 + 2.48577i) q^{39} +(-2.20099 - 0.722261i) q^{40} +(3.49346 + 1.50693i) q^{41} +(6.87080 - 6.57332i) q^{42} +(4.06557 + 2.04180i) q^{43} +(-7.59782 - 0.873191i) q^{44} +(0.314501 + 2.43677i) q^{45} +(1.98825 - 0.412543i) q^{46} +(0.178805 - 0.597251i) q^{47} +(-6.67412 + 1.85906i) q^{48} +(-7.21108 + 3.62154i) q^{49} +(5.80986 - 1.93140i) q^{50} +(3.13085 + 2.16436i) q^{51} +(-11.5390 - 7.55746i) q^{52} +(-4.47376 + 7.74879i) q^{53} +(4.82941 + 5.53867i) q^{54} +(-2.71219 + 1.56588i) q^{55} +(10.9760 + 0.287557i) q^{56} +(-5.17479 - 5.11307i) q^{57} +(-2.70361 + 13.1577i) q^{58} +(2.85806 - 4.34547i) q^{59} +(-1.74195 + 2.23933i) q^{60} +(-5.51477 + 5.20291i) q^{61} +(5.59532 - 4.98910i) q^{62} +(-4.74065 - 10.6372i) q^{63} +(-6.95126 - 3.95980i) q^{64} +(-5.63890 + 0.328429i) q^{65} +(-4.14534 + 8.39941i) q^{66} +(5.20615 + 6.99307i) q^{67} +(0.771530 + 4.32670i) q^{68} +(0.345670 - 2.46283i) q^{69} +(3.68057 - 2.58246i) q^{70} +(13.6679 - 4.97470i) q^{71} +(-0.613548 + 8.46307i) q^{72} +(7.82909 + 2.84956i) q^{73} +(1.42631 - 0.383655i) q^{74} +(0.173116 - 7.49648i) q^{75} +(-0.0162185 - 8.40014i) q^{76} +(10.1867 - 10.7973i) q^{77} +(-13.4802 + 10.1824i) q^{78} +(4.11834 - 1.77648i) q^{79} +(-3.25233 + 0.392879i) q^{80} +(8.38093 - 3.28025i) q^{81} +(5.37811 - 0.161684i) q^{82} +(-1.64872 + 0.711186i) q^{83} +(4.86560 - 12.5363i) q^{84} +(1.30907 + 1.23504i) q^{85} +(6.43140 + 0.180921i) q^{86} +(14.0537 + 8.55250i) q^{87} +(-10.2568 + 3.43173i) q^{88} +(-2.66932 + 7.33390i) q^{89} +(1.86232 + 2.93348i) q^{90} +(25.1584 - 9.15690i) q^{91} +(2.30014 - 1.71931i) q^{92} +(-3.44097 - 8.51222i) q^{93} +(-0.128626 - 0.872247i) q^{94} +(-2.05413 - 2.75917i) q^{95} +(-7.43705 + 6.37890i) q^{96} +(0.362531 + 6.22441i) q^{97} +(-7.06939 + 8.95847i) q^{98} +(7.97195 + 8.24918i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{47}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.28114 0.598910i 0.905899 0.423493i
\(3\) −0.161308 1.72452i −0.0931312 0.995654i
\(4\) 1.28261 1.53457i 0.641307 0.767284i
\(5\) 0.0476203 0.817609i 0.0212964 0.365646i −0.970777 0.239984i \(-0.922858\pi\)
0.992073 0.125661i \(-0.0401053\pi\)
\(6\) −1.23949 2.11274i −0.506020 0.862522i
\(7\) 0.895235 + 3.77729i 0.338367 + 1.42768i 0.830430 + 0.557123i \(0.188095\pi\)
−0.492063 + 0.870560i \(0.663757\pi\)
\(8\) 0.724135 2.73416i 0.256021 0.966671i
\(9\) −2.94796 + 0.556359i −0.982653 + 0.185453i
\(10\) −0.428666 1.07599i −0.135556 0.340257i
\(11\) −2.10128 3.19483i −0.633558 0.963279i −0.999468 0.0326283i \(-0.989612\pi\)
0.365909 0.930651i \(-0.380758\pi\)
\(12\) −2.85329 1.96436i −0.823675 0.567062i
\(13\) −0.800672 6.85019i −0.222066 1.89990i −0.401063 0.916050i \(-0.631359\pi\)
0.178997 0.983850i \(-0.442715\pi\)
\(14\) 3.40918 + 4.30306i 0.911140 + 1.15004i
\(15\) −1.41767 + 0.0497645i −0.366040 + 0.0128491i
\(16\) −0.709799 3.93652i −0.177450 0.984130i
\(17\) −1.41251 + 1.68336i −0.342584 + 0.408276i −0.909636 0.415406i \(-0.863639\pi\)
0.567052 + 0.823682i \(0.308084\pi\)
\(18\) −3.44353 + 2.47833i −0.811647 + 0.584148i
\(19\) 3.21745 2.69976i 0.738133 0.619367i −0.194203 0.980961i \(-0.562212\pi\)
0.932335 + 0.361595i \(0.117768\pi\)
\(20\) −1.19360 1.12175i −0.266897 0.250832i
\(21\) 6.36962 2.15316i 1.38997 0.469858i
\(22\) −4.60544 2.83454i −0.981882 0.604326i
\(23\) 1.39715 + 0.331130i 0.291326 + 0.0690454i 0.373680 0.927558i \(-0.378096\pi\)
−0.0823545 + 0.996603i \(0.526244\pi\)
\(24\) −4.83193 0.807746i −0.986314 0.164881i
\(25\) 4.29998 + 0.502595i 0.859995 + 0.100519i
\(26\) −5.12841 8.29648i −1.00576 1.62707i
\(27\) 1.43498 + 4.99408i 0.276163 + 0.961111i
\(28\) 6.94476 + 3.47101i 1.31244 + 0.655960i
\(29\) −5.67199 + 7.61881i −1.05326 + 1.41478i −0.148473 + 0.988916i \(0.547436\pi\)
−0.904789 + 0.425860i \(0.859972\pi\)
\(30\) −1.78642 + 0.912809i −0.326154 + 0.166655i
\(31\) 5.07819 1.52031i 0.912070 0.273056i 0.203813 0.979010i \(-0.434667\pi\)
0.708258 + 0.705954i \(0.249481\pi\)
\(32\) −3.26697 4.61811i −0.577524 0.816374i
\(33\) −5.17061 + 4.13905i −0.900088 + 0.720516i
\(34\) −0.801433 + 3.00258i −0.137445 + 0.514938i
\(35\) 3.13098 0.552076i 0.529232 0.0933179i
\(36\) −2.92733 + 5.23744i −0.487888 + 0.872906i
\(37\) 1.02854 + 0.181359i 0.169090 + 0.0298152i 0.257552 0.966264i \(-0.417084\pi\)
−0.0884619 + 0.996080i \(0.528195\pi\)
\(38\) 2.50507 5.38571i 0.406376 0.873678i
\(39\) −11.6841 + 2.48577i −1.87096 + 0.398041i
\(40\) −2.20099 0.722261i −0.348007 0.114199i
\(41\) 3.49346 + 1.50693i 0.545587 + 0.235343i 0.650990 0.759086i \(-0.274354\pi\)
−0.105403 + 0.994430i \(0.533613\pi\)
\(42\) 6.87080 6.57332i 1.06019 1.01429i
\(43\) 4.06557 + 2.04180i 0.619993 + 0.311372i 0.730927 0.682455i \(-0.239088\pi\)
−0.110934 + 0.993828i \(0.535384\pi\)
\(44\) −7.59782 0.873191i −1.14541 0.131639i
\(45\) 0.314501 + 2.43677i 0.0468830 + 0.363252i
\(46\) 1.98825 0.412543i 0.293152 0.0608261i
\(47\) 0.178805 0.597251i 0.0260814 0.0871179i −0.943958 0.330066i \(-0.892929\pi\)
0.970039 + 0.242948i \(0.0781143\pi\)
\(48\) −6.67412 + 1.85906i −0.963327 + 0.268332i
\(49\) −7.21108 + 3.62154i −1.03015 + 0.517363i
\(50\) 5.80986 1.93140i 0.821638 0.273142i
\(51\) 3.13085 + 2.16436i 0.438406 + 0.303072i
\(52\) −11.5390 7.55746i −1.60018 1.04803i
\(53\) −4.47376 + 7.74879i −0.614519 + 1.06438i 0.375950 + 0.926640i \(0.377316\pi\)
−0.990469 + 0.137738i \(0.956017\pi\)
\(54\) 4.82941 + 5.53867i 0.657199 + 0.753717i
\(55\) −2.71219 + 1.56588i −0.365711 + 0.211144i
\(56\) 10.9760 + 0.287557i 1.46673 + 0.0384264i
\(57\) −5.17479 5.11307i −0.685418 0.677242i
\(58\) −2.70361 + 13.1577i −0.355002 + 1.72769i
\(59\) 2.85806 4.34547i 0.372088 0.565732i −0.600103 0.799923i \(-0.704874\pi\)
0.972191 + 0.234191i \(0.0752440\pi\)
\(60\) −1.74195 + 2.23933i −0.224885 + 0.289097i
\(61\) −5.51477 + 5.20291i −0.706093 + 0.666165i −0.953033 0.302866i \(-0.902057\pi\)
0.246940 + 0.969031i \(0.420575\pi\)
\(62\) 5.59532 4.98910i 0.710607 0.633617i
\(63\) −4.74065 10.6372i −0.597266 1.34017i
\(64\) −6.95126 3.95980i −0.868907 0.494975i
\(65\) −5.63890 + 0.328429i −0.699419 + 0.0407365i
\(66\) −4.14534 + 8.39941i −0.510256 + 1.03390i
\(67\) 5.20615 + 6.99307i 0.636032 + 0.854339i 0.996933 0.0782651i \(-0.0249381\pi\)
−0.360901 + 0.932604i \(0.617531\pi\)
\(68\) 0.771530 + 4.32670i 0.0935618 + 0.524689i
\(69\) 0.345670 2.46283i 0.0416138 0.296490i
\(70\) 3.68057 2.58246i 0.439912 0.308663i
\(71\) 13.6679 4.97470i 1.62208 0.590389i 0.638303 0.769785i \(-0.279637\pi\)
0.983777 + 0.179396i \(0.0574145\pi\)
\(72\) −0.613548 + 8.46307i −0.0723074 + 0.997382i
\(73\) 7.82909 + 2.84956i 0.916326 + 0.333515i 0.756776 0.653674i \(-0.226773\pi\)
0.159550 + 0.987190i \(0.448996\pi\)
\(74\) 1.42631 0.383655i 0.165805 0.0445990i
\(75\) 0.173116 7.49648i 0.0199898 0.865619i
\(76\) −0.0162185 8.40014i −0.00186039 0.963562i
\(77\) 10.1867 10.7973i 1.16088 1.23046i
\(78\) −13.4802 + 10.1824i −1.52633 + 1.15292i
\(79\) 4.11834 1.77648i 0.463349 0.199869i −0.151591 0.988443i \(-0.548440\pi\)
0.614940 + 0.788574i \(0.289180\pi\)
\(80\) −3.25233 + 0.392879i −0.363622 + 0.0439253i
\(81\) 8.38093 3.28025i 0.931214 0.364472i
\(82\) 5.37811 0.161684i 0.593913 0.0178550i
\(83\) −1.64872 + 0.711186i −0.180970 + 0.0780628i −0.484637 0.874715i \(-0.661048\pi\)
0.303667 + 0.952778i \(0.401789\pi\)
\(84\) 4.86560 12.5363i 0.530880 1.36782i
\(85\) 1.30907 + 1.23504i 0.141988 + 0.133959i
\(86\) 6.43140 + 0.180921i 0.693516 + 0.0195092i
\(87\) 14.0537 + 8.55250i 1.50672 + 0.916925i
\(88\) −10.2568 + 3.43173i −1.09338 + 0.365824i
\(89\) −2.66932 + 7.33390i −0.282948 + 0.777392i 0.714060 + 0.700085i \(0.246854\pi\)
−0.997007 + 0.0773073i \(0.975368\pi\)
\(90\) 1.86232 + 2.93348i 0.196306 + 0.309215i
\(91\) 25.1584 9.15690i 2.63732 0.959904i
\(92\) 2.30014 1.71931i 0.239807 0.179250i
\(93\) −3.44097 8.51222i −0.356811 0.882676i
\(94\) −0.128626 0.872247i −0.0132667 0.0899654i
\(95\) −2.05413 2.75917i −0.210749 0.283085i
\(96\) −7.43705 + 6.37890i −0.759040 + 0.651044i
\(97\) 0.362531 + 6.22441i 0.0368094 + 0.631993i 0.965382 + 0.260841i \(0.0840000\pi\)
−0.928572 + 0.371152i \(0.878963\pi\)
\(98\) −7.06939 + 8.95847i −0.714117 + 0.904942i
\(99\) 7.97195 + 8.24918i 0.801211 + 0.829074i
\(100\) 6.28648 5.95397i 0.628648 0.595397i
\(101\) −2.25357 2.38864i −0.224238 0.237679i 0.605481 0.795860i \(-0.292981\pi\)
−0.829719 + 0.558181i \(0.811499\pi\)
\(102\) 5.30730 + 0.897750i 0.525501 + 0.0888905i
\(103\) −0.263040 + 0.399933i −0.0259181 + 0.0394066i −0.848214 0.529653i \(-0.822322\pi\)
0.822296 + 0.569059i \(0.192693\pi\)
\(104\) −19.3093 2.77130i −1.89343 0.271748i
\(105\) −1.45712 5.31039i −0.142200 0.518241i
\(106\) −1.09067 + 12.6066i −0.105936 + 1.22446i
\(107\) 1.87487 1.08246i 0.181250 0.104645i −0.406630 0.913593i \(-0.633296\pi\)
0.587880 + 0.808948i \(0.299963\pi\)
\(108\) 9.50428 + 4.20340i 0.914550 + 0.404472i
\(109\) −2.29730 1.32635i −0.220041 0.127041i 0.385928 0.922529i \(-0.373881\pi\)
−0.605969 + 0.795488i \(0.707215\pi\)
\(110\) −2.53686 + 3.63046i −0.241880 + 0.346151i
\(111\) 0.146846 1.80299i 0.0139380 0.171132i
\(112\) 14.2340 6.20523i 1.34498 0.586339i
\(113\) −2.27361 4.52714i −0.213884 0.425877i 0.760950 0.648810i \(-0.224733\pi\)
−0.974834 + 0.222933i \(0.928437\pi\)
\(114\) −9.69187 3.45130i −0.907727 0.323243i
\(115\) 0.337268 1.12655i 0.0314504 0.105052i
\(116\) 4.41660 + 18.4760i 0.410071 + 1.71546i
\(117\) 6.17151 + 19.7486i 0.570556 + 1.82576i
\(118\) 1.05902 7.27886i 0.0974906 0.670073i
\(119\) −7.62309 3.82846i −0.698807 0.350954i
\(120\) −0.890518 + 3.91216i −0.0812928 + 0.357130i
\(121\) −1.43473 + 3.32608i −0.130430 + 0.302371i
\(122\) −3.94909 + 9.96848i −0.357533 + 0.902504i
\(123\) 2.03522 6.26764i 0.183509 0.565134i
\(124\) 4.18034 9.74281i 0.375406 0.874930i
\(125\) 1.32678 7.52452i 0.118670 0.673014i
\(126\) −12.4442 10.7885i −1.10861 0.961118i
\(127\) −14.6616 + 2.58523i −1.30101 + 0.229402i −0.780877 0.624685i \(-0.785227\pi\)
−0.520129 + 0.854088i \(0.674116\pi\)
\(128\) −11.2771 0.909870i −0.996761 0.0804219i
\(129\) 2.86533 7.34053i 0.252278 0.646297i
\(130\) −7.02749 + 3.79795i −0.616352 + 0.333102i
\(131\) −9.91320 + 2.96782i −0.866121 + 0.259299i −0.688886 0.724869i \(-0.741900\pi\)
−0.177234 + 0.984169i \(0.556715\pi\)
\(132\) −0.280249 + 13.2435i −0.0243926 + 1.15270i
\(133\) 13.0781 + 9.73632i 1.13402 + 0.844246i
\(134\) 10.8580 + 5.84105i 0.937988 + 0.504590i
\(135\) 4.15154 0.935435i 0.357307 0.0805094i
\(136\) 3.57973 + 5.08101i 0.306960 + 0.435693i
\(137\) 1.18348 10.1253i 0.101112 0.865065i −0.843557 0.537039i \(-0.819543\pi\)
0.944669 0.328026i \(-0.106383\pi\)
\(138\) −1.03216 3.36224i −0.0878633 0.286213i
\(139\) 19.2452 + 4.56120i 1.63236 + 0.386876i 0.941740 0.336342i \(-0.109190\pi\)
0.690620 + 0.723218i \(0.257338\pi\)
\(140\) 3.16864 5.51280i 0.267799 0.465917i
\(141\) −1.05881 0.212012i −0.0891683 0.0178546i
\(142\) 14.5310 14.5591i 1.21942 1.22177i
\(143\) −20.2028 + 16.9521i −1.68944 + 1.41761i
\(144\) 4.28257 + 11.2098i 0.356881 + 0.934150i
\(145\) 5.95910 + 5.00028i 0.494876 + 0.415251i
\(146\) 11.7368 1.03825i 0.971341 0.0859263i
\(147\) 7.40863 + 11.8515i 0.611054 + 0.977494i
\(148\) 1.59752 1.34575i 0.131316 0.110620i
\(149\) −11.8625 + 1.38652i −0.971811 + 0.113588i −0.587158 0.809473i \(-0.699753\pi\)
−0.384653 + 0.923061i \(0.625679\pi\)
\(150\) −4.26793 9.70768i −0.348475 0.792629i
\(151\) −11.0351 16.7780i −0.898022 1.36538i −0.930651 0.365909i \(-0.880758\pi\)
0.0326288 0.999468i \(-0.489612\pi\)
\(152\) −5.05170 10.7520i −0.409747 0.872102i
\(153\) 3.22747 5.74835i 0.260925 0.464726i
\(154\) 6.58395 19.9337i 0.530550 1.60630i
\(155\) −1.00119 4.22437i −0.0804179 0.339310i
\(156\) −11.1717 + 21.1184i −0.894451 + 1.69083i
\(157\) −21.1027 1.22909i −1.68418 0.0980924i −0.810861 0.585238i \(-0.801001\pi\)
−0.873321 + 0.487146i \(0.838038\pi\)
\(158\) 4.21220 4.74242i 0.335105 0.377287i
\(159\) 14.0846 + 6.46517i 1.11698 + 0.512721i
\(160\) −3.93138 + 2.45119i −0.310803 + 0.193783i
\(161\) 5.57388i 0.439283i
\(162\) 8.77253 9.22186i 0.689235 0.724538i
\(163\) 7.88858 0.617881 0.308941 0.951081i \(-0.400026\pi\)
0.308941 + 0.951081i \(0.400026\pi\)
\(164\) 6.79326 3.42814i 0.530464 0.267693i
\(165\) 3.13790 + 4.42464i 0.244285 + 0.344458i
\(166\) −1.68629 + 1.89856i −0.130882 + 0.147357i
\(167\) −0.321891 + 5.52665i −0.0249087 + 0.427665i 0.962684 + 0.270628i \(0.0872313\pi\)
−0.987593 + 0.157037i \(0.949806\pi\)
\(168\) −1.27462 18.9747i −0.0983389 1.46393i
\(169\) −33.6344 + 7.97150i −2.58726 + 0.613192i
\(170\) 2.41677 + 0.798243i 0.185358 + 0.0612224i
\(171\) −7.98286 + 9.74883i −0.610465 + 0.745511i
\(172\) 8.34785 3.62004i 0.636517 0.276026i
\(173\) 16.7927 11.0448i 1.27673 0.839717i 0.283852 0.958868i \(-0.408388\pi\)
0.992876 + 0.119151i \(0.0380172\pi\)
\(174\) 23.1269 + 2.53999i 1.75325 + 0.192556i
\(175\) 1.95104 + 16.6922i 0.147485 + 1.26181i
\(176\) −11.0850 + 10.5394i −0.835567 + 0.794437i
\(177\) −7.95490 4.22783i −0.597927 0.317784i
\(178\) 0.972581 + 10.9944i 0.0728981 + 0.824065i
\(179\) −15.3169 + 18.2540i −1.14484 + 1.36437i −0.223928 + 0.974606i \(0.571888\pi\)
−0.920915 + 0.389765i \(0.872556\pi\)
\(180\) 4.14278 + 2.64282i 0.308784 + 0.196984i
\(181\) 9.87333 + 11.7666i 0.733879 + 0.874603i 0.995900 0.0904595i \(-0.0288336\pi\)
−0.262021 + 0.965062i \(0.584389\pi\)
\(182\) 26.7471 26.7988i 1.98263 1.98646i
\(183\) 9.86212 + 8.67107i 0.729029 + 0.640984i
\(184\) 1.91709 3.58024i 0.141330 0.263939i
\(185\) 0.197260 0.832304i 0.0145028 0.0611922i
\(186\) −9.50639 8.84448i −0.697043 0.648509i
\(187\) 8.34614 + 0.975524i 0.610330 + 0.0713374i
\(188\) −0.687184 1.04043i −0.0501180 0.0758812i
\(189\) −17.5795 + 9.89123i −1.27872 + 0.719481i
\(190\) −4.28411 2.30464i −0.310802 0.167196i
\(191\) 10.7701 14.4668i 0.779300 1.04678i −0.218185 0.975907i \(-0.570014\pi\)
0.997485 0.0708743i \(-0.0225789\pi\)
\(192\) −5.70748 + 12.6263i −0.411902 + 0.911228i
\(193\) 0.517954 + 1.73009i 0.0372831 + 0.124534i 0.974605 0.223930i \(-0.0718886\pi\)
−0.937322 + 0.348464i \(0.886703\pi\)
\(194\) 4.19231 + 7.75719i 0.300990 + 0.556934i
\(195\) 1.47598 + 9.67144i 0.105697 + 0.692586i
\(196\) −3.69154 + 15.7109i −0.263681 + 1.12221i
\(197\) −3.36226 19.0683i −0.239551 1.35856i −0.832814 0.553554i \(-0.813271\pi\)
0.593262 0.805009i \(-0.297840\pi\)
\(198\) 15.1537 + 5.79384i 1.07692 + 0.411750i
\(199\) 20.8768 + 3.68114i 1.47992 + 0.260949i 0.854544 0.519378i \(-0.173836\pi\)
0.625371 + 0.780327i \(0.284948\pi\)
\(200\) 4.48794 11.3929i 0.317345 0.805598i
\(201\) 11.2199 10.1062i 0.791392 0.712833i
\(202\) −4.31770 1.71049i −0.303793 0.120350i
\(203\) −33.8562 14.6042i −2.37624 1.02501i
\(204\) 7.33704 2.02845i 0.513695 0.142020i
\(205\) 1.39844 2.78452i 0.0976714 0.194480i
\(206\) −0.0974662 + 0.669905i −0.00679079 + 0.0466745i
\(207\) −4.30296 0.198843i −0.299077 0.0138205i
\(208\) −26.3976 + 8.01411i −1.83034 + 0.555679i
\(209\) −15.3860 4.60627i −1.06427 0.318622i
\(210\) −5.04721 5.93065i −0.348291 0.409254i
\(211\) −22.7001 + 11.4004i −1.56274 + 0.784838i −0.999150 0.0412158i \(-0.986877\pi\)
−0.563591 + 0.826054i \(0.690581\pi\)
\(212\) 6.15293 + 16.8040i 0.422585 + 1.15410i
\(213\) −10.7837 22.7681i −0.738889 1.56005i
\(214\) 1.75367 2.50965i 0.119878 0.171556i
\(215\) 1.86300 3.22681i 0.127056 0.220067i
\(216\) 14.6937 0.307082i 0.999782 0.0208943i
\(217\) 10.2888 + 17.8208i 0.698452 + 1.20975i
\(218\) −3.73751 0.323354i −0.253136 0.0219003i
\(219\) 3.65123 13.9611i 0.246727 0.943404i
\(220\) −1.07574 + 6.17046i −0.0725263 + 0.416012i
\(221\) 12.6623 + 8.32813i 0.851759 + 0.560211i
\(222\) −0.891698 2.39782i −0.0598469 0.160931i
\(223\) 1.78577 1.68479i 0.119584 0.112822i −0.624127 0.781323i \(-0.714545\pi\)
0.743711 + 0.668501i \(0.233064\pi\)
\(224\) 14.5193 16.4746i 0.970108 1.10075i
\(225\) −12.9558 + 0.910699i −0.863718 + 0.0607133i
\(226\) −5.62415 4.43819i −0.374113 0.295224i
\(227\) 6.54732 0.381338i 0.434561 0.0253103i 0.160530 0.987031i \(-0.448680\pi\)
0.274031 + 0.961721i \(0.411643\pi\)
\(228\) −14.4836 + 1.38298i −0.959201 + 0.0915900i
\(229\) 7.01535 5.22274i 0.463588 0.345128i −0.339888 0.940466i \(-0.610389\pi\)
0.803476 + 0.595338i \(0.202982\pi\)
\(230\) −0.242617 1.64526i −0.0159977 0.108485i
\(231\) −20.2633 15.8255i −1.33323 1.04124i
\(232\) 16.7237 + 21.0252i 1.09797 + 1.38037i
\(233\) −5.02864 13.8161i −0.329437 0.905122i −0.988254 0.152818i \(-0.951165\pi\)
0.658817 0.752303i \(-0.271057\pi\)
\(234\) 19.7342 + 21.6045i 1.29006 + 1.41233i
\(235\) −0.479802 0.174634i −0.0312989 0.0113919i
\(236\) −3.00263 9.95946i −0.195455 0.648306i
\(237\) −3.72790 6.81561i −0.242153 0.442721i
\(238\) −12.0591 0.339233i −0.781676 0.0219892i
\(239\) −3.67223 + 3.89234i −0.237537 + 0.251775i −0.835166 0.549999i \(-0.814628\pi\)
0.597629 + 0.801773i \(0.296110\pi\)
\(240\) 1.20216 + 5.54535i 0.0775989 + 0.357951i
\(241\) −8.37803 19.4225i −0.539676 1.25111i −0.942000 0.335613i \(-0.891057\pi\)
0.402324 0.915497i \(-0.368203\pi\)
\(242\) 0.153937 + 5.12043i 0.00989543 + 0.329154i
\(243\) −7.00877 13.9240i −0.449613 0.893224i
\(244\) 0.910905 + 15.1361i 0.0583147 + 0.968991i
\(245\) 2.61761 + 6.06830i 0.167233 + 0.387689i
\(246\) −1.14636 9.24860i −0.0730892 0.589669i
\(247\) −21.0700 19.8785i −1.34065 1.26484i
\(248\) −0.479474 14.9855i −0.0304466 0.951580i
\(249\) 1.49241 + 2.72853i 0.0945775 + 0.172913i
\(250\) −2.80673 10.4346i −0.177513 0.659939i
\(251\) −6.53539 + 17.9558i −0.412510 + 1.13336i 0.543342 + 0.839512i \(0.317159\pi\)
−0.955852 + 0.293850i \(0.905063\pi\)
\(252\) −22.4040 6.36863i −1.41132 0.401186i
\(253\) −1.87789 5.15945i −0.118062 0.324372i
\(254\) −17.2352 + 12.0930i −1.08143 + 0.758783i
\(255\) 1.91870 2.45674i 0.120153 0.153847i
\(256\) −14.9924 + 5.58827i −0.937023 + 0.349267i
\(257\) −0.482794 + 0.359427i −0.0301158 + 0.0224204i −0.612111 0.790772i \(-0.709680\pi\)
0.581995 + 0.813192i \(0.302272\pi\)
\(258\) −0.725434 11.1203i −0.0451635 0.692318i
\(259\) 0.235737 + 4.04745i 0.0146480 + 0.251496i
\(260\) −6.72854 + 9.07452i −0.417286 + 0.562778i
\(261\) 12.4820 25.6156i 0.772617 1.58557i
\(262\) −10.9227 + 9.73929i −0.674807 + 0.601695i
\(263\) 13.9852 + 14.8234i 0.862362 + 0.914051i 0.997044 0.0768382i \(-0.0244825\pi\)
−0.134681 + 0.990889i \(0.543001\pi\)
\(264\) 7.57260 + 17.1345i 0.466061 + 1.05456i
\(265\) 6.12243 + 4.02679i 0.376098 + 0.247364i
\(266\) 22.5861 + 4.64092i 1.38484 + 0.284553i
\(267\) 13.0781 + 3.42029i 0.800365 + 0.209318i
\(268\) 17.4088 + 0.980226i 1.06341 + 0.0598768i
\(269\) 8.52035 + 14.7577i 0.519495 + 0.899791i 0.999743 + 0.0226589i \(0.00721317\pi\)
−0.480248 + 0.877133i \(0.659453\pi\)
\(270\) 4.75844 3.68481i 0.289589 0.224251i
\(271\) 5.17071 + 2.98531i 0.314098 + 0.181345i 0.648759 0.760994i \(-0.275288\pi\)
−0.334661 + 0.942339i \(0.608622\pi\)
\(272\) 7.62919 + 4.36552i 0.462588 + 0.264699i
\(273\) −19.8495 41.9091i −1.20135 2.53646i
\(274\) −4.54796 13.6807i −0.274752 0.826482i
\(275\) −7.42973 14.7938i −0.448029 0.892100i
\(276\) −3.33602 3.68931i −0.200805 0.222071i
\(277\) 9.36761 + 2.80448i 0.562845 + 0.168505i 0.555572 0.831469i \(-0.312499\pi\)
0.00727372 + 0.999974i \(0.497685\pi\)
\(278\) 27.3875 5.68264i 1.64259 0.340822i
\(279\) −14.1245 + 7.30711i −0.845610 + 0.437465i
\(280\) 0.757789 8.96038i 0.0452866 0.535485i
\(281\) −9.07100 + 18.0619i −0.541131 + 1.07748i 0.442413 + 0.896811i \(0.354122\pi\)
−0.983544 + 0.180669i \(0.942174\pi\)
\(282\) −1.48346 + 0.362518i −0.0883388 + 0.0215876i
\(283\) −1.16444 + 2.69948i −0.0692189 + 0.160467i −0.949313 0.314331i \(-0.898220\pi\)
0.880095 + 0.474798i \(0.157479\pi\)
\(284\) 9.89661 27.3549i 0.587256 1.62322i
\(285\) −4.42691 + 3.98747i −0.262228 + 0.236197i
\(286\) −15.7297 + 33.8176i −0.930116 + 1.99968i
\(287\) −2.56466 + 14.5449i −0.151387 + 0.858558i
\(288\) 12.2002 + 11.7964i 0.718904 + 0.695109i
\(289\) 2.11349 + 11.9862i 0.124323 + 0.705071i
\(290\) 10.6291 + 2.83707i 0.624164 + 0.166599i
\(291\) 10.6757 1.62924i 0.625818 0.0955077i
\(292\) 14.4145 8.35939i 0.843548 0.489196i
\(293\) 5.03870 + 16.8304i 0.294364 + 0.983244i 0.969406 + 0.245464i \(0.0789404\pi\)
−0.675042 + 0.737780i \(0.735874\pi\)
\(294\) 16.5894 + 10.7463i 0.967515 + 0.626735i
\(295\) −3.41679 2.54371i −0.198933 0.148100i
\(296\) 1.24066 2.68086i 0.0721121 0.155822i
\(297\) 12.9400 15.0785i 0.750853 0.874942i
\(298\) −14.3670 + 8.88087i −0.832259 + 0.514455i
\(299\) 1.14965 9.83585i 0.0664858 0.568822i
\(300\) −11.2818 9.88075i −0.651356 0.570466i
\(301\) −4.07286 + 17.1847i −0.234756 + 0.990512i
\(302\) −24.1859 14.8859i −1.39174 0.856587i
\(303\) −3.75575 + 4.27163i −0.215762 + 0.245399i
\(304\) −12.9114 10.7493i −0.740519 0.616512i
\(305\) 3.99133 + 4.75668i 0.228543 + 0.272367i
\(306\) 0.692081 9.29737i 0.0395636 0.531495i
\(307\) 16.3500 + 13.7192i 0.933142 + 0.782999i 0.976379 0.216066i \(-0.0693226\pi\)
−0.0432370 + 0.999065i \(0.513767\pi\)
\(308\) −3.50353 29.4809i −0.199632 1.67983i
\(309\) 0.732124 + 0.389106i 0.0416491 + 0.0221355i
\(310\) −3.81268 4.81237i −0.216546 0.273324i
\(311\) −6.03608 + 0.705517i −0.342275 + 0.0400062i −0.285494 0.958380i \(-0.592158\pi\)
−0.0567808 + 0.998387i \(0.518084\pi\)
\(312\) −1.66442 + 33.7464i −0.0942294 + 1.91051i
\(313\) −18.7127 + 12.3075i −1.05770 + 0.695662i −0.954261 0.298973i \(-0.903356\pi\)
−0.103441 + 0.994636i \(0.532985\pi\)
\(314\) −27.7716 + 11.0640i −1.56724 + 0.624377i
\(315\) −8.92285 + 3.36945i −0.502746 + 0.189847i
\(316\) 2.55612 8.59841i 0.143793 0.483698i
\(317\) −29.1540 + 6.90962i −1.63745 + 0.388083i −0.943351 0.331796i \(-0.892346\pi\)
−0.694100 + 0.719879i \(0.744197\pi\)
\(318\) 21.9163 0.152656i 1.22901 0.00856052i
\(319\) 36.2592 + 2.11186i 2.03013 + 0.118241i
\(320\) −3.56859 + 5.49484i −0.199490 + 0.307171i
\(321\) −2.16915 3.05864i −0.121070 0.170717i
\(322\) 3.33825 + 7.14089i 0.186033 + 0.397946i
\(323\) 9.22956i 0.513546i
\(324\) 5.71574 17.0684i 0.317541 0.948244i
\(325\) 29.8580i 1.65623i
\(326\) 10.1063 4.72455i 0.559738 0.261668i
\(327\) −1.91674 + 4.17569i −0.105996 + 0.230916i
\(328\) 6.64993 8.46046i 0.367181 0.467151i
\(329\) 2.41606 + 0.140720i 0.133202 + 0.00775813i
\(330\) 6.67003 + 3.78925i 0.367173 + 0.208591i
\(331\) 2.45107 0.580913i 0.134723 0.0319299i −0.162701 0.986675i \(-0.552021\pi\)
0.297424 + 0.954746i \(0.403873\pi\)
\(332\) −1.02330 + 3.44224i −0.0561610 + 0.188918i
\(333\) −3.13299 + 0.0375971i −0.171687 + 0.00206031i
\(334\) 2.89758 + 7.27317i 0.158548 + 0.397970i
\(335\) 5.96551 3.92358i 0.325931 0.214368i
\(336\) −12.9971 23.5458i −0.709051 1.28453i
\(337\) −27.0981 + 3.16732i −1.47613 + 0.172535i −0.815753 0.578400i \(-0.803677\pi\)
−0.660376 + 0.750935i \(0.729603\pi\)
\(338\) −38.3160 + 30.3565i −2.08412 + 1.65118i
\(339\) −7.44040 + 4.65116i −0.404107 + 0.252617i
\(340\) 3.57429 0.424771i 0.193843 0.0230364i
\(341\) −15.5278 13.0294i −0.840879 0.705581i
\(342\) −4.38846 + 17.2706i −0.237301 + 0.933886i
\(343\) −2.66843 3.18011i −0.144082 0.171710i
\(344\) 8.52664 9.63737i 0.459726 0.519612i
\(345\) −1.99717 0.399904i −0.107524 0.0215301i
\(346\) 14.8990 24.2072i 0.800973 1.30138i
\(347\) 7.25366 30.6056i 0.389397 1.64300i −0.326797 0.945094i \(-0.605969\pi\)
0.716194 0.697901i \(-0.245882\pi\)
\(348\) 31.1499 10.5969i 1.66981 0.568051i
\(349\) 3.48209 29.7912i 0.186392 1.59469i −0.499058 0.866568i \(-0.666321\pi\)
0.685451 0.728119i \(-0.259605\pi\)
\(350\) 12.4967 + 20.2165i 0.667975 + 1.08062i
\(351\) 33.0614 13.8285i 1.76469 0.738112i
\(352\) −7.88929 + 20.1413i −0.420501 + 1.07354i
\(353\) 7.88099 + 5.86718i 0.419463 + 0.312278i 0.786116 0.618079i \(-0.212089\pi\)
−0.366653 + 0.930358i \(0.619496\pi\)
\(354\) −12.7234 0.652165i −0.676240 0.0346622i
\(355\) −3.41649 11.4119i −0.181329 0.605680i
\(356\) 7.83066 + 13.5028i 0.415024 + 0.715648i
\(357\) −5.37260 + 13.7637i −0.284348 + 0.728455i
\(358\) −8.69057 + 32.5593i −0.459311 + 1.72081i
\(359\) −2.77286 15.7257i −0.146346 0.829968i −0.966277 0.257506i \(-0.917099\pi\)
0.819931 0.572462i \(-0.194012\pi\)
\(360\) 6.89026 + 0.904656i 0.363149 + 0.0476796i
\(361\) −0.236050 + 1.33871i −0.0124237 + 0.0704583i
\(362\) 19.6962 + 9.16134i 1.03521 + 0.481509i
\(363\) 5.96733 + 1.93770i 0.313204 + 0.101703i
\(364\) 18.2166 50.3520i 0.954810 2.63916i
\(365\) 2.70265 6.26544i 0.141463 0.327948i
\(366\) 17.8279 + 5.20229i 0.931879 + 0.271928i
\(367\) −8.20613 + 16.3397i −0.428356 + 0.852928i 0.571129 + 0.820860i \(0.306505\pi\)
−0.999486 + 0.0320676i \(0.989791\pi\)
\(368\) 0.311806 5.73494i 0.0162540 0.298954i
\(369\) −11.1370 2.49876i −0.579768 0.130080i
\(370\) −0.245759 1.18444i −0.0127764 0.0615758i
\(371\) −33.2745 9.96174i −1.72753 0.517188i
\(372\) −17.4760 5.63751i −0.906089 0.292291i
\(373\) 7.66206 + 15.2564i 0.396726 + 0.789947i 0.999971 0.00760918i \(-0.00242210\pi\)
−0.603245 + 0.797556i \(0.706126\pi\)
\(374\) 11.2768 3.74880i 0.583108 0.193846i
\(375\) −13.1902 1.07429i −0.681141 0.0554761i
\(376\) −1.50350 0.921372i −0.0775370 0.0475161i
\(377\) 56.7316 + 32.7540i 2.92183 + 1.68692i
\(378\) −16.5977 + 23.2005i −0.853694 + 1.19331i
\(379\) −12.5336 21.7088i −0.643808 1.11511i −0.984575 0.174960i \(-0.944020\pi\)
0.340768 0.940148i \(-0.389313\pi\)
\(380\) −6.86880 0.386757i −0.352362 0.0198402i
\(381\) 6.82333 + 24.8672i 0.349570 + 1.27399i
\(382\) 5.13370 24.9843i 0.262663 1.27831i
\(383\) −8.61067 5.66333i −0.439985 0.289382i 0.310125 0.950696i \(-0.399629\pi\)
−0.750110 + 0.661313i \(0.769999\pi\)
\(384\) 0.249988 + 19.5943i 0.0127571 + 0.999919i
\(385\) −8.34285 8.84290i −0.425191 0.450676i
\(386\) 1.69973 + 1.90627i 0.0865142 + 0.0970264i
\(387\) −13.1211 3.75724i −0.666983 0.190991i
\(388\) 10.0168 + 7.42719i 0.508524 + 0.377059i
\(389\) 1.14104 + 19.5909i 0.0578531 + 0.993300i 0.894928 + 0.446211i \(0.147227\pi\)
−0.837075 + 0.547089i \(0.815736\pi\)
\(390\) 7.68325 + 11.5064i 0.389056 + 0.582651i
\(391\) −2.53090 + 1.88418i −0.127993 + 0.0952872i
\(392\) 4.68007 + 22.3387i 0.236379 + 1.12828i
\(393\) 6.71715 + 16.6168i 0.338835 + 0.838207i
\(394\) −15.7277 22.4154i −0.792351 1.12927i
\(395\) −1.25635 3.45179i −0.0632137 0.173678i
\(396\) 22.8839 1.65298i 1.14996 0.0830654i
\(397\) −1.90597 + 5.23662i −0.0956581 + 0.262819i −0.978288 0.207250i \(-0.933549\pi\)
0.882630 + 0.470069i \(0.155771\pi\)
\(398\) 28.9506 7.78726i 1.45116 0.390340i
\(399\) 14.6809 24.1241i 0.734964 1.20772i
\(400\) −1.07364 17.2837i −0.0536821 0.864184i
\(401\) 11.9245 + 11.2502i 0.595483 + 0.561809i 0.923857 0.382739i \(-0.125019\pi\)
−0.328374 + 0.944548i \(0.606501\pi\)
\(402\) 8.32155 19.6671i 0.415041 0.980904i
\(403\) −14.4804 33.5693i −0.721319 1.67221i
\(404\) −6.55599 + 0.394545i −0.326173 + 0.0196294i
\(405\) −2.28286 7.00853i −0.113436 0.348257i
\(406\) −52.1210 + 1.56693i −2.58672 + 0.0777652i
\(407\) −1.58183 3.66709i −0.0784083 0.181771i
\(408\) 8.18488 6.99294i 0.405212 0.346202i
\(409\) 13.0449 13.8268i 0.645030 0.683692i −0.319524 0.947578i \(-0.603523\pi\)
0.964554 + 0.263886i \(0.0850044\pi\)
\(410\) 0.123913 4.40489i 0.00611965 0.217542i
\(411\) −17.6523 0.407644i −0.870722 0.0201076i
\(412\) 0.276345 + 0.916613i 0.0136146 + 0.0451583i
\(413\) 18.9728 + 6.90552i 0.933589 + 0.339799i
\(414\) −5.63177 + 2.32234i −0.276786 + 0.114137i
\(415\) 0.502960 + 1.38187i 0.0246893 + 0.0678334i
\(416\) −29.0191 + 26.0769i −1.42278 + 1.27853i
\(417\) 4.76149 33.9246i 0.233171 1.66130i
\(418\) −22.4703 + 3.31358i −1.09906 + 0.162072i
\(419\) −10.1791 + 7.57805i −0.497281 + 0.370212i −0.816385 0.577508i \(-0.804025\pi\)
0.319104 + 0.947720i \(0.396618\pi\)
\(420\) −10.0181 4.57514i −0.488832 0.223244i
\(421\) −19.8849 + 1.15816i −0.969130 + 0.0564454i −0.535401 0.844598i \(-0.679839\pi\)
−0.433729 + 0.901043i \(0.642802\pi\)
\(422\) −22.2541 + 28.2008i −1.08331 + 1.37279i
\(423\) −0.194825 + 1.86015i −0.00947269 + 0.0904436i
\(424\) 17.9468 + 17.8432i 0.871574 + 0.866540i
\(425\) −6.91981 + 6.52850i −0.335660 + 0.316679i
\(426\) −27.4515 22.7106i −1.33003 1.10033i
\(427\) −24.5899 16.1731i −1.18999 0.782669i
\(428\) 0.743632 4.26549i 0.0359448 0.206180i
\(429\) 32.4932 + 32.1056i 1.56879 + 1.55008i
\(430\) 0.454187 5.24975i 0.0219029 0.253166i
\(431\) −13.6345 23.6157i −0.656752 1.13753i −0.981452 0.191710i \(-0.938597\pi\)
0.324700 0.945817i \(-0.394737\pi\)
\(432\) 18.6407 9.19363i 0.896853 0.442329i
\(433\) 6.07379 10.5201i 0.291888 0.505565i −0.682368 0.731009i \(-0.739050\pi\)
0.974256 + 0.225444i \(0.0723832\pi\)
\(434\) 23.8544 + 16.6688i 1.14505 + 0.800126i
\(435\) 7.66184 11.0832i 0.367357 0.531398i
\(436\) −4.98191 + 1.82417i −0.238590 + 0.0873619i
\(437\) 5.38922 2.70657i 0.257801 0.129473i
\(438\) −3.68372 20.0728i −0.176015 0.959117i
\(439\) −26.2082 7.84621i −1.25085 0.374479i −0.408174 0.912904i \(-0.633834\pi\)
−0.842673 + 0.538425i \(0.819019\pi\)
\(440\) 2.31738 + 8.54946i 0.110477 + 0.407580i
\(441\) 19.2431 14.6881i 0.916338 0.699433i
\(442\) 21.2099 + 3.08588i 1.00885 + 0.146781i
\(443\) 2.37550 4.73001i 0.112863 0.224730i −0.830108 0.557602i \(-0.811722\pi\)
0.942972 + 0.332872i \(0.108018\pi\)
\(444\) −2.57846 2.53789i −0.122368 0.120443i
\(445\) 5.86915 + 2.53170i 0.278224 + 0.120014i
\(446\) 1.27878 3.22795i 0.0605518 0.152848i
\(447\) 4.30460 + 20.2334i 0.203601 + 0.957009i
\(448\) 8.73433 29.8019i 0.412659 1.40801i
\(449\) −16.0836 2.83598i −0.759033 0.133838i −0.219281 0.975662i \(-0.570371\pi\)
−0.539753 + 0.841824i \(0.681482\pi\)
\(450\) −16.0527 + 8.92607i −0.756730 + 0.420779i
\(451\) −2.52633 14.3275i −0.118960 0.674656i
\(452\) −9.86338 2.31756i −0.463934 0.109009i
\(453\) −27.1540 + 21.7367i −1.27581 + 1.02128i
\(454\) 8.15962 4.40980i 0.382950 0.206962i
\(455\) −6.28871 21.0058i −0.294819 0.984766i
\(456\) −17.7272 + 10.4462i −0.830152 + 0.489186i
\(457\) −6.43466 + 8.64325i −0.301001 + 0.404314i −0.926731 0.375725i \(-0.877394\pi\)
0.625730 + 0.780040i \(0.284801\pi\)
\(458\) 5.85967 10.8926i 0.273804 0.508977i
\(459\) −10.4338 4.63859i −0.487007 0.216511i
\(460\) −1.29619 1.96249i −0.0604350 0.0915017i
\(461\) −12.2420 1.43089i −0.570169 0.0666432i −0.173876 0.984767i \(-0.555629\pi\)
−0.396293 + 0.918124i \(0.629703\pi\)
\(462\) −35.4381 8.13871i −1.64873 0.378647i
\(463\) 1.40721 5.93750i 0.0653988 0.275939i −0.930514 0.366255i \(-0.880640\pi\)
0.995913 + 0.0903163i \(0.0287878\pi\)
\(464\) 34.0175 + 16.9201i 1.57923 + 0.785495i
\(465\) −7.12353 + 2.40801i −0.330346 + 0.111669i
\(466\) −14.7170 14.6886i −0.681750 0.680435i
\(467\) 16.0163 + 19.0874i 0.741144 + 0.883261i 0.996501 0.0835862i \(-0.0266374\pi\)
−0.255357 + 0.966847i \(0.582193\pi\)
\(468\) 38.2213 + 15.8593i 1.76678 + 0.733094i
\(469\) −21.7542 + 25.9256i −1.00451 + 1.19713i
\(470\) −0.719282 + 0.0636287i −0.0331780 + 0.00293497i
\(471\) 1.28444 + 36.5904i 0.0591838 + 1.68600i
\(472\) −9.81159 10.9611i −0.451615 0.504526i
\(473\) −2.01965 17.2792i −0.0928636 0.794499i
\(474\) −8.85787 6.49904i −0.406856 0.298511i
\(475\) 15.1918 9.99182i 0.697048 0.458456i
\(476\) −15.6525 + 6.78771i −0.717432 + 0.311114i
\(477\) 8.87737 25.3321i 0.406467 1.15988i
\(478\) −2.37347 + 7.18595i −0.108560 + 0.328678i
\(479\) 9.59120 2.27316i 0.438233 0.103863i −0.00557604 0.999984i \(-0.501775\pi\)
0.443809 + 0.896121i \(0.353627\pi\)
\(480\) 4.86129 + 6.38436i 0.221886 + 0.291405i
\(481\) 0.418821 7.19088i 0.0190966 0.327876i
\(482\) −22.3657 19.8651i −1.01873 0.904831i
\(483\) 9.61228 0.899111i 0.437374 0.0409110i
\(484\) 3.26389 + 6.46777i 0.148359 + 0.293990i
\(485\) 5.10640 0.231869
\(486\) −17.3184 13.6409i −0.785578 0.618763i
\(487\) 6.67541i 0.302492i 0.988496 + 0.151246i \(0.0483285\pi\)
−0.988496 + 0.151246i \(0.951671\pi\)
\(488\) 10.2322 + 18.8459i 0.463188 + 0.853112i
\(489\) −1.27249 13.6040i −0.0575441 0.615196i
\(490\) 6.98787 + 6.20660i 0.315680 + 0.280386i
\(491\) −40.4145 2.35387i −1.82388 0.106229i −0.888282 0.459299i \(-0.848101\pi\)
−0.935597 + 0.353070i \(0.885138\pi\)
\(492\) −7.00772 11.1621i −0.315932 0.503228i
\(493\) −4.81348 20.3097i −0.216788 0.914701i
\(494\) −38.8989 12.8480i −1.75014 0.578060i
\(495\) 7.12423 6.12511i 0.320210 0.275303i
\(496\) −9.58923 18.9113i −0.430569 0.849142i
\(497\) 31.0269 + 47.1741i 1.39175 + 2.11605i
\(498\) 3.54612 + 2.60180i 0.158905 + 0.116589i
\(499\) −23.7603 + 2.77718i −1.06366 + 0.124324i −0.629876 0.776696i \(-0.716894\pi\)
−0.433780 + 0.901019i \(0.642820\pi\)
\(500\) −9.84515 11.6871i −0.440289 0.522663i
\(501\) 9.58276 0.336385i 0.428126 0.0150286i
\(502\) 2.38120 + 26.9179i 0.106278 + 1.20141i
\(503\) 9.56393 + 8.02509i 0.426434 + 0.357821i 0.830604 0.556863i \(-0.187995\pi\)
−0.404170 + 0.914684i \(0.632440\pi\)
\(504\) −32.5168 + 5.25889i −1.44841 + 0.234249i
\(505\) −2.06029 + 1.72879i −0.0916817 + 0.0769300i
\(506\) −5.49587 5.48527i −0.244321 0.243850i
\(507\) 19.1725 + 56.7174i 0.851482 + 2.51891i
\(508\) −14.8380 + 25.8151i −0.658328 + 1.14536i
\(509\) −28.9191 6.85396i −1.28182 0.303797i −0.467385 0.884054i \(-0.654804\pi\)
−0.814433 + 0.580257i \(0.802952\pi\)
\(510\) 0.986743 4.29654i 0.0436937 0.190254i
\(511\) −3.75474 + 32.1238i −0.166100 + 1.42107i
\(512\) −15.8604 + 16.1384i −0.700937 + 0.713224i
\(513\) 18.0998 + 12.1941i 0.799125 + 0.538381i
\(514\) −0.403260 + 0.749624i −0.0177870 + 0.0330645i
\(515\) 0.314463 + 0.234109i 0.0138569 + 0.0103161i
\(516\) −7.58942 13.8121i −0.334106 0.608044i
\(517\) −2.28384 + 0.683735i −0.100443 + 0.0300706i
\(518\) 2.72606 + 5.04414i 0.119776 + 0.221627i
\(519\) −21.7557 27.1779i −0.954971 1.19298i
\(520\) −3.18535 + 15.6555i −0.139687 + 0.686538i
\(521\) 39.3113 6.93165i 1.72226 0.303681i 0.776879 0.629649i \(-0.216801\pi\)
0.945381 + 0.325969i \(0.105690\pi\)
\(522\) 0.649720 40.2926i 0.0284375 1.76356i
\(523\) 5.56394 31.5547i 0.243294 1.37979i −0.581127 0.813813i \(-0.697388\pi\)
0.824421 0.565977i \(-0.191501\pi\)
\(524\) −8.16050 + 19.0191i −0.356493 + 0.830851i
\(525\) 28.4714 6.05720i 1.24259 0.264358i
\(526\) 26.7948 + 10.6149i 1.16831 + 0.462834i
\(527\) −4.61376 + 10.6959i −0.200979 + 0.465921i
\(528\) 19.9635 + 17.4163i 0.868802 + 0.757948i
\(529\) −18.7112 9.39711i −0.813529 0.408570i
\(530\) 10.2553 + 1.49208i 0.445464 + 0.0648116i
\(531\) −6.00781 + 14.4004i −0.260717 + 0.624924i
\(532\) 31.7153 7.58136i 1.37503 0.328694i
\(533\) 7.52565 25.1374i 0.325972 1.08882i
\(534\) 18.8032 3.45072i 0.813695 0.149327i
\(535\) −0.795743 1.58446i −0.0344030 0.0685020i
\(536\) 22.8901 9.17050i 0.988702 0.396105i
\(537\) 33.9502 + 23.4699i 1.46506 + 1.01280i
\(538\) 19.7542 + 13.8037i 0.851665 + 0.595118i
\(539\) 26.7227 + 15.4284i 1.15103 + 0.664546i
\(540\) 3.88933 7.57062i 0.167370 0.325788i
\(541\) 16.7860 9.69139i 0.721685 0.416665i −0.0936873 0.995602i \(-0.529865\pi\)
0.815373 + 0.578936i \(0.196532\pi\)
\(542\) 8.41231 + 0.727799i 0.361340 + 0.0312616i
\(543\) 18.6991 18.9248i 0.802454 0.812142i
\(544\) 12.3886 + 1.02363i 0.531156 + 0.0438877i
\(545\) −1.19383 + 1.81513i −0.0511380 + 0.0777516i
\(546\) −50.5297 41.8032i −2.16247 1.78901i
\(547\) 20.2582 + 21.4725i 0.866180 + 0.918097i 0.997312 0.0732679i \(-0.0233428\pi\)
−0.131133 + 0.991365i \(0.541861\pi\)
\(548\) −14.0201 14.8030i −0.598907 0.632354i
\(549\) 13.3626 18.4062i 0.570303 0.785556i
\(550\) −18.3786 14.5031i −0.783667 0.618415i
\(551\) 2.31961 + 39.8261i 0.0988185 + 1.69665i
\(552\) −6.48345 2.72854i −0.275954 0.116134i
\(553\) 10.3972 + 13.9658i 0.442132 + 0.593887i
\(554\) 13.6808 2.01744i 0.581242 0.0857126i
\(555\) −1.46715 0.205922i −0.0622769 0.00874089i
\(556\) 31.6837 23.6829i 1.34369 1.00438i
\(557\) 15.5589 5.66297i 0.659251 0.239948i 0.00933831 0.999956i \(-0.497027\pi\)
0.649913 + 0.760008i \(0.274805\pi\)
\(558\) −13.7191 + 17.8207i −0.580774 + 0.754410i
\(559\) 10.7316 29.4847i 0.453897 1.24707i
\(560\) −4.39562 11.9333i −0.185749 0.504274i
\(561\) 0.336014 14.5505i 0.0141865 0.614321i
\(562\) −0.803766 + 28.5724i −0.0339048 + 1.20525i
\(563\) 10.5369 + 9.94109i 0.444079 + 0.418967i 0.875526 0.483171i \(-0.160515\pi\)
−0.431447 + 0.902138i \(0.641997\pi\)
\(564\) −1.68340 + 1.35289i −0.0708839 + 0.0569671i
\(565\) −3.80970 + 1.64334i −0.160275 + 0.0691360i
\(566\) 0.124937 + 4.15579i 0.00525148 + 0.174681i
\(567\) 19.8934 + 28.7206i 0.835443 + 1.20615i
\(568\) −3.70423 40.9725i −0.155426 1.71917i
\(569\) −10.5843 + 4.56561i −0.443716 + 0.191400i −0.606202 0.795311i \(-0.707308\pi\)
0.162487 + 0.986711i \(0.448049\pi\)
\(570\) −3.28334 + 7.75981i −0.137524 + 0.325023i
\(571\) −0.869991 + 0.922137i −0.0364080 + 0.0385902i −0.745322 0.666705i \(-0.767704\pi\)
0.708914 + 0.705295i \(0.249186\pi\)
\(572\) 0.101838 + 52.7456i 0.00425807 + 2.20540i
\(573\) −26.6857 16.2397i −1.11481 0.678425i
\(574\) 5.42540 + 20.1700i 0.226452 + 0.841879i
\(575\) 5.84128 + 2.12605i 0.243598 + 0.0886625i
\(576\) 22.6951 + 7.80595i 0.945629 + 0.325248i
\(577\) 18.6567 6.79050i 0.776690 0.282692i 0.0768983 0.997039i \(-0.475498\pi\)
0.699792 + 0.714347i \(0.253276\pi\)
\(578\) 9.88632 + 14.0902i 0.411217 + 0.586073i
\(579\) 2.90002 1.17230i 0.120521 0.0487191i
\(580\) 15.3165 2.73121i 0.635983 0.113407i
\(581\) −4.16235 5.59100i −0.172683 0.231954i
\(582\) 12.7012 8.48103i 0.526482 0.351550i
\(583\) 34.1567 1.98940i 1.41463 0.0823926i
\(584\) 13.4605 19.3425i 0.556998 0.800399i
\(585\) 16.4405 4.10545i 0.679732 0.169739i
\(586\) 16.5352 + 18.5443i 0.683061 + 0.766059i
\(587\) 2.88157 2.71862i 0.118935 0.112209i −0.624477 0.781043i \(-0.714688\pi\)
0.743412 + 0.668834i \(0.233206\pi\)
\(588\) 27.6893 + 3.83184i 1.14189 + 0.158022i
\(589\) 12.2343 18.6014i 0.504107 0.766458i
\(590\) −5.90083 1.21248i −0.242933 0.0499172i
\(591\) −32.3414 + 8.87417i −1.33035 + 0.365035i
\(592\) −0.0161317 4.17758i −0.000663010 0.171698i
\(593\) 17.4384 10.0681i 0.716111 0.413447i −0.0972086 0.995264i \(-0.530991\pi\)
0.813320 + 0.581817i \(0.197658\pi\)
\(594\) 7.54720 27.0674i 0.309665 1.11059i
\(595\) −3.49319 + 6.05039i −0.143207 + 0.248042i
\(596\) −13.0873 + 19.9821i −0.536075 + 0.818500i
\(597\) 2.98062 36.5963i 0.121989 1.49779i
\(598\) −4.41793 13.2896i −0.180663 0.543452i
\(599\) 20.9547 10.5238i 0.856186 0.429993i 0.0341422 0.999417i \(-0.489130\pi\)
0.822044 + 0.569424i \(0.192834\pi\)
\(600\) −20.3712 5.90179i −0.831651 0.240940i
\(601\) −3.82481 + 12.7758i −0.156017 + 0.521134i −0.999881 0.0154234i \(-0.995090\pi\)
0.843864 + 0.536558i \(0.180276\pi\)
\(602\) 5.07422 + 24.4553i 0.206810 + 0.996722i
\(603\) −19.2382 17.7188i −0.783438 0.721565i
\(604\) −39.9008 4.58566i −1.62354 0.186588i
\(605\) 2.65111 + 1.33144i 0.107783 + 0.0541306i
\(606\) −2.25330 + 7.72189i −0.0915340 + 0.313681i
\(607\) −14.1489 6.10323i −0.574285 0.247722i 0.0890724 0.996025i \(-0.471610\pi\)
−0.663357 + 0.748303i \(0.730869\pi\)
\(608\) −22.9791 6.03849i −0.931924 0.244893i
\(609\) −19.7239 + 60.7416i −0.799254 + 2.46138i
\(610\) 7.96226 + 3.70351i 0.322382 + 0.149951i
\(611\) −4.23444 0.746646i −0.171307 0.0302061i
\(612\) −4.68164 12.3257i −0.189244 0.498236i
\(613\) −15.7816 + 2.78273i −0.637414 + 0.112393i −0.483010 0.875615i \(-0.660457\pi\)
−0.154404 + 0.988008i \(0.549346\pi\)
\(614\) 29.1631 + 7.78406i 1.17693 + 0.314139i
\(615\) −5.02756 1.96248i −0.202731 0.0791347i
\(616\) −22.1449 35.6707i −0.892243 1.43721i
\(617\) 16.7204 5.00577i 0.673139 0.201525i 0.0680494 0.997682i \(-0.478322\pi\)
0.605090 + 0.796157i \(0.293137\pi\)
\(618\) 1.17099 + 0.0600216i 0.0471041 + 0.00241442i
\(619\) 3.84052 5.15871i 0.154363 0.207346i −0.718214 0.695823i \(-0.755040\pi\)
0.872577 + 0.488477i \(0.162447\pi\)
\(620\) −7.76674 3.88184i −0.311920 0.155898i
\(621\) 0.351193 + 7.45263i 0.0140929 + 0.299064i
\(622\) −7.31050 + 4.51893i −0.293124 + 0.181193i
\(623\) −30.0920 3.51725i −1.20561 0.140916i
\(624\) 18.0787 + 44.2305i 0.723726 + 1.77064i
\(625\) 14.9738 + 3.54886i 0.598953 + 0.141955i
\(626\) −16.6024 + 26.9748i −0.663564 + 1.07813i
\(627\) −5.46173 + 27.2766i −0.218121 + 1.08932i
\(628\) −28.9528 + 30.8071i −1.15534 + 1.22934i
\(629\) −1.75811 + 1.47523i −0.0701005 + 0.0588213i
\(630\) −9.41338 + 9.66070i −0.375038 + 0.384891i
\(631\) −12.6547 + 15.0813i −0.503776 + 0.600377i −0.956665 0.291190i \(-0.905949\pi\)
0.452889 + 0.891567i \(0.350393\pi\)
\(632\) −1.87494 12.5466i −0.0745811 0.499077i
\(633\) 23.3220 + 37.3079i 0.926967 + 1.48286i
\(634\) −33.2120 + 26.3128i −1.31902 + 1.04501i
\(635\) 1.41552 + 12.1106i 0.0561732 + 0.480593i
\(636\) 27.9864 13.3215i 1.10973 0.528231i
\(637\) 30.5819 + 46.4976i 1.21170 + 1.84230i
\(638\) 47.7178 19.0104i 1.88917 0.752630i
\(639\) −37.5247 + 22.2695i −1.48445 + 0.880967i
\(640\) −1.28093 + 9.17690i −0.0506334 + 0.362749i
\(641\) −1.04538 4.41082i −0.0412902 0.174217i 0.948493 0.316798i \(-0.102608\pi\)
−0.989783 + 0.142581i \(0.954460\pi\)
\(642\) −4.61083 2.61941i −0.181975 0.103380i
\(643\) −1.47564 + 25.3358i −0.0581936 + 0.999145i 0.835222 + 0.549914i \(0.185339\pi\)
−0.893415 + 0.449232i \(0.851698\pi\)
\(644\) 8.55350 + 7.14914i 0.337055 + 0.281716i
\(645\) −5.86523 2.69228i −0.230943 0.106008i
\(646\) 5.52767 + 11.8243i 0.217483 + 0.465221i
\(647\) 17.4673 0.686710 0.343355 0.939206i \(-0.388437\pi\)
0.343355 + 0.939206i \(0.388437\pi\)
\(648\) −2.89979 25.2901i −0.113914 0.993491i
\(649\) −19.8886 −0.780698
\(650\) −17.8823 38.2522i −0.701400 1.50037i
\(651\) 29.0727 20.6180i 1.13945 0.808082i
\(652\) 10.1180 12.1056i 0.396252 0.474091i
\(653\) −0.353055 + 6.06171i −0.0138161 + 0.237213i 0.984329 + 0.176340i \(0.0564257\pi\)
−0.998145 + 0.0608736i \(0.980611\pi\)
\(654\) 0.0452582 + 6.49758i 0.00176973 + 0.254075i
\(655\) 1.95444 + 8.24645i 0.0763665 + 0.322215i
\(656\) 3.45241 14.8217i 0.134794 0.578690i
\(657\) −24.6652 4.04459i −0.962282 0.157795i
\(658\) 3.17958 1.26672i 0.123953 0.0493820i
\(659\) 22.5179 + 34.2368i 0.877172 + 1.33368i 0.941942 + 0.335775i \(0.108998\pi\)
−0.0647701 + 0.997900i \(0.520631\pi\)
\(660\) 10.8146 + 0.859792i 0.420959 + 0.0334674i
\(661\) −4.77430 40.8467i −0.185699 1.58875i −0.689078 0.724687i \(-0.741984\pi\)
0.503379 0.864066i \(-0.332090\pi\)
\(662\) 2.79223 2.21219i 0.108523 0.0859794i
\(663\) 12.3195 23.1798i 0.478451 0.900230i
\(664\) 0.750604 + 5.02285i 0.0291291 + 0.194924i
\(665\) 8.58329 10.2292i 0.332846 0.396670i
\(666\) −3.99126 + 1.92454i −0.154658 + 0.0745745i
\(667\) −10.4474 + 8.76643i −0.404526 + 0.339438i
\(668\) 8.06816 + 7.58253i 0.312167 + 0.293377i
\(669\) −3.19351 2.80783i −0.123468 0.108557i
\(670\) 5.29276 8.59944i 0.204477 0.332225i
\(671\) 28.2105 + 6.68601i 1.08905 + 0.258110i
\(672\) −30.7529 22.3813i −1.18632 0.863377i
\(673\) 9.98055 + 1.16656i 0.384722 + 0.0449675i 0.306256 0.951949i \(-0.400924\pi\)
0.0784660 + 0.996917i \(0.474998\pi\)
\(674\) −32.8194 + 20.2871i −1.26416 + 0.781430i
\(675\) 3.66039 + 22.1956i 0.140889 + 0.854310i
\(676\) −30.9072 + 61.8386i −1.18874 + 2.37841i
\(677\) 18.7892 25.2382i 0.722126 0.969984i −0.277830 0.960630i \(-0.589615\pi\)
0.999956 0.00935389i \(-0.00297748\pi\)
\(678\) −6.74654 + 10.4149i −0.259099 + 0.399982i
\(679\) −23.1869 + 6.94170i −0.889831 + 0.266398i
\(680\) 4.32474 2.68486i 0.165846 0.102960i
\(681\) −1.71376 11.2295i −0.0656715 0.430315i
\(682\) −27.6967 7.39265i −1.06056 0.283079i
\(683\) 18.9045 3.33338i 0.723362 0.127548i 0.200167 0.979762i \(-0.435851\pi\)
0.523194 + 0.852214i \(0.324740\pi\)
\(684\) 4.72130 + 24.7542i 0.180523 + 0.946502i
\(685\) −8.22220 1.44980i −0.314154 0.0553938i
\(686\) −5.32322 2.47600i −0.203241 0.0945343i
\(687\) −10.1384 11.2557i −0.386803 0.429431i
\(688\) 5.15187 17.4535i 0.196413 0.665407i
\(689\) 56.6627 + 24.4419i 2.15868 + 0.931162i
\(690\) −2.79815 + 0.683793i −0.106524 + 0.0260315i
\(691\) −0.315445 0.158422i −0.0120001 0.00602668i 0.442789 0.896626i \(-0.353989\pi\)
−0.454789 + 0.890599i \(0.650285\pi\)
\(692\) 4.58968 39.9358i 0.174473 1.51813i
\(693\) −24.0228 + 37.4974i −0.912551 + 1.42441i
\(694\) −9.03707 43.5542i −0.343042 1.65330i
\(695\) 4.64574 15.5179i 0.176223 0.588626i
\(696\) 33.5607 32.2320i 1.27212 1.22175i
\(697\) −7.47126 + 3.75221i −0.282994 + 0.142125i
\(698\) −13.3812 40.2520i −0.506486 1.52356i
\(699\) −23.0150 + 10.9007i −0.870507 + 0.412301i
\(700\) 28.1178 + 18.4157i 1.06275 + 0.696047i
\(701\) −16.3103 + 28.2503i −0.616033 + 1.06700i 0.374169 + 0.927360i \(0.377928\pi\)
−0.990202 + 0.139640i \(0.955405\pi\)
\(702\) 34.0741 37.5170i 1.28604 1.41599i
\(703\) 3.79889 2.19329i 0.143278 0.0827214i
\(704\) 1.95559 + 30.5288i 0.0737040 + 1.15060i
\(705\) −0.223764 + 0.855600i −0.00842744 + 0.0322238i
\(706\) 13.6105 + 2.79665i 0.512239 + 0.105253i
\(707\) 7.00513 10.6508i 0.263455 0.400564i
\(708\) −16.6910 + 6.78465i −0.627285 + 0.254983i
\(709\) −15.2795 + 14.4154i −0.573833 + 0.541383i −0.917514 0.397703i \(-0.869807\pi\)
0.343681 + 0.939086i \(0.388326\pi\)
\(710\) −11.2117 12.5740i −0.420767 0.471894i
\(711\) −11.1523 + 7.52826i −0.418245 + 0.282332i
\(712\) 18.1191 + 12.6091i 0.679042 + 0.472546i
\(713\) 7.59841 0.442557i 0.284563 0.0165739i
\(714\) 1.36021 + 20.8509i 0.0509048 + 0.780326i
\(715\) 12.8982 + 17.3252i 0.482364 + 0.647927i
\(716\) 8.36631 + 46.9178i 0.312664 + 1.75340i
\(717\) 7.30479 + 5.70498i 0.272802 + 0.213057i
\(718\) −12.9706 18.4860i −0.484060 0.689891i
\(719\) −21.6669 + 7.88611i −0.808039 + 0.294102i −0.712814 0.701353i \(-0.752580\pi\)
−0.0952257 + 0.995456i \(0.530357\pi\)
\(720\) 9.36917 2.96766i 0.349168 0.110598i
\(721\) −1.74615 0.635545i −0.0650299 0.0236689i
\(722\) 0.499352 + 1.85644i 0.0185840 + 0.0690895i
\(723\) −32.1430 + 17.5811i −1.19541 + 0.653848i
\(724\) 30.7203 0.0593129i 1.14171 0.00220435i
\(725\) −28.2186 + 29.9100i −1.04801 + 1.11083i
\(726\) 8.80547 1.09143i 0.326802 0.0405069i
\(727\) 28.5210 12.3028i 1.05779 0.456285i 0.205118 0.978737i \(-0.434242\pi\)
0.852668 + 0.522453i \(0.174983\pi\)
\(728\) −6.81835 75.4179i −0.252705 2.79517i
\(729\) −22.8816 + 14.3328i −0.847468 + 0.530846i
\(730\) −0.289975 9.64551i −0.0107325 0.356996i
\(731\) −9.17975 + 3.95976i −0.339525 + 0.146457i
\(732\) 25.9556 4.01245i 0.959348 0.148305i
\(733\) 34.2716 + 32.3336i 1.26585 + 1.19427i 0.971094 + 0.238695i \(0.0767198\pi\)
0.294756 + 0.955573i \(0.404762\pi\)
\(734\) −0.727131 + 25.8482i −0.0268389 + 0.954073i
\(735\) 10.0427 5.49299i 0.370430 0.202612i
\(736\) −3.03524 7.53397i −0.111880 0.277706i
\(737\) 11.4021 31.3271i 0.420003 1.15395i
\(738\) −15.7645 + 3.46880i −0.580300 + 0.127688i
\(739\) 31.6994 11.5376i 1.16608 0.424418i 0.314814 0.949153i \(-0.398058\pi\)
0.851266 + 0.524735i \(0.175836\pi\)
\(740\) −1.02422 1.37023i −0.0376511 0.0503708i
\(741\) −30.8821 + 39.5422i −1.13448 + 1.45262i
\(742\) −48.5953 + 7.16610i −1.78399 + 0.263076i
\(743\) 16.8391 + 22.6189i 0.617767 + 0.829805i 0.995365 0.0961641i \(-0.0306574\pi\)
−0.377598 + 0.925970i \(0.623250\pi\)
\(744\) −25.7655 + 3.24414i −0.944609 + 0.118936i
\(745\) 0.568740 + 9.76488i 0.0208370 + 0.357758i
\(746\) 18.9533 + 14.9566i 0.693931 + 0.547602i
\(747\) 4.46467 3.01383i 0.163354 0.110270i
\(748\) 12.2019 11.5565i 0.446145 0.422547i
\(749\) 5.76720 + 6.11288i 0.210729 + 0.223360i
\(750\) −17.5419 + 6.52344i −0.640539 + 0.238203i
\(751\) −17.0647 + 25.9456i −0.622699 + 0.946767i 0.377089 + 0.926177i \(0.376925\pi\)
−0.999788 + 0.0205903i \(0.993445\pi\)
\(752\) −2.47800 0.279942i −0.0903635 0.0102084i
\(753\) 32.0194 + 8.37401i 1.16685 + 0.305166i
\(754\) 92.2976 + 7.98522i 3.36128 + 0.290804i
\(755\) −14.2434 + 8.22340i −0.518369 + 0.299280i
\(756\) −7.36891 + 39.6635i −0.268005 + 1.44255i
\(757\) 1.94408 + 1.12241i 0.0706587 + 0.0407948i 0.534913 0.844907i \(-0.320344\pi\)
−0.464254 + 0.885702i \(0.653678\pi\)
\(758\) −29.0589 20.3055i −1.05547 0.737527i
\(759\) −8.59468 + 4.07072i −0.311967 + 0.147758i
\(760\) −9.03149 + 3.61830i −0.327607 + 0.131250i
\(761\) −10.0533 20.0179i −0.364434 0.725647i 0.634446 0.772967i \(-0.281228\pi\)
−0.998880 + 0.0473202i \(0.984932\pi\)
\(762\) 23.6348 + 27.7717i 0.856200 + 1.00606i
\(763\) 2.95337 9.86496i 0.106919 0.357135i
\(764\) −8.38636 35.0829i −0.303408 1.26925i
\(765\) −4.54621 2.91254i −0.164368 0.105303i
\(766\) −14.4232 2.09847i −0.521133 0.0758210i
\(767\) −32.0557 16.0990i −1.15746 0.581300i
\(768\) 12.0555 + 24.9533i 0.435015 + 0.900423i
\(769\) −3.23737 + 7.50506i −0.116742 + 0.270639i −0.966561 0.256435i \(-0.917452\pi\)
0.849819 + 0.527075i \(0.176711\pi\)
\(770\) −15.9844 6.33234i −0.576038 0.228202i
\(771\) 0.697718 + 0.774610i 0.0251277 + 0.0278969i
\(772\) 3.31927 + 1.42420i 0.119463 + 0.0512580i
\(773\) −6.31130 + 35.7932i