Properties

Label 65.2.n.a.9.4
Level $65$
Weight $2$
Character 65.9
Analytic conductor $0.519$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 65 = 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 65.n (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.519027613138\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \(x^{12} - 8 x^{10} + 54 x^{8} - 78 x^{6} + 92 x^{4} - 10 x^{2} + 1\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 9.4
Root \(0.286513 - 0.165418i\) of defining polynomial
Character \(\chi\) \(=\) 65.9
Dual form 65.2.n.a.29.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.286513 + 0.165418i) q^{2} +(2.33117 + 1.34590i) q^{3} +(-0.945274 - 1.63726i) q^{4} +(-2.12291 - 0.702335i) q^{5} +(0.445274 + 0.771236i) q^{6} +(-2.90420 + 1.67674i) q^{7} -1.28714i q^{8} +(2.12291 + 3.67698i) q^{9} +O(q^{10})\) \(q+(0.286513 + 0.165418i) q^{2} +(2.33117 + 1.34590i) q^{3} +(-0.945274 - 1.63726i) q^{4} +(-2.12291 - 0.702335i) q^{5} +(0.445274 + 0.771236i) q^{6} +(-2.90420 + 1.67674i) q^{7} -1.28714i q^{8} +(2.12291 + 3.67698i) q^{9} +(-0.492061 - 0.552395i) q^{10} +(1.62291 - 2.81095i) q^{11} -5.08898i q^{12} +(1.21648 + 3.39414i) q^{13} -1.10945 q^{14} +(-4.00358 - 4.49448i) q^{15} +(-1.67763 + 2.90574i) q^{16} +(1.68772 - 0.974404i) q^{17} +1.40467i q^{18} +(-0.622905 - 1.07890i) q^{19} +(0.856821 + 4.13965i) q^{20} -9.02690 q^{21} +(0.929966 - 0.536916i) q^{22} +(-2.33117 - 1.34590i) q^{23} +(1.73236 - 3.00053i) q^{24} +(4.01345 + 2.98198i) q^{25} +(-0.212916 + 1.17369i) q^{26} +3.35348i q^{27} +(5.49052 + 3.16995i) q^{28} +(1.50000 - 2.59808i) q^{29} +(-0.403608 - 1.94999i) q^{30} +3.78109 q^{31} +(-3.19071 + 1.84216i) q^{32} +(7.56654 - 4.36854i) q^{33} +0.644737 q^{34} +(7.34297 - 1.51984i) q^{35} +(4.01345 - 6.95150i) q^{36} +(1.68772 + 0.974404i) q^{37} -0.412160i q^{38} +(-1.73236 + 9.54958i) q^{39} +(-0.904000 + 2.73247i) q^{40} +(-1.39055 + 2.40850i) q^{41} +(-2.58632 - 1.49321i) q^{42} +(-7.56654 + 4.36854i) q^{43} -6.13636 q^{44} +(-1.92426 - 9.29687i) q^{45} +(-0.445274 - 0.771236i) q^{46} +6.86960i q^{47} +(-7.82169 + 4.51586i) q^{48} +(2.12291 - 3.67698i) q^{49} +(0.656632 + 1.51827i) q^{50} +5.24581 q^{51} +(4.40719 - 5.20008i) q^{52} -12.8336i q^{53} +(-0.554726 + 0.960814i) q^{54} +(-5.41950 + 4.82757i) q^{55} +(2.15819 + 3.73809i) q^{56} -3.35348i q^{57} +(0.859539 - 0.496255i) q^{58} +(-1.26764 - 2.19562i) q^{59} +(-3.57417 + 10.8034i) q^{60} +(3.74581 + 6.48793i) q^{61} +(1.08333 + 0.625462i) q^{62} +(-12.3307 - 7.11911i) q^{63} +5.49162 q^{64} +(-0.198649 - 8.05981i) q^{65} +2.89055 q^{66} +(-3.47722 - 2.00758i) q^{67} +(-3.19071 - 1.84216i) q^{68} +(-3.62291 - 6.27506i) q^{69} +(2.35526 + 0.779207i) q^{70} +(-2.62291 - 4.54300i) q^{71} +(4.73277 - 2.73247i) q^{72} -5.46493i q^{73} +(0.322368 + 0.558359i) q^{74} +(5.34259 + 12.3532i) q^{75} +(-1.17763 + 2.03972i) q^{76} +10.8848i q^{77} +(-2.07602 + 2.44951i) q^{78} -13.7811 q^{79} +(5.60226 - 4.99036i) q^{80} +(1.85526 - 3.21341i) q^{81} +(-0.796819 + 0.460044i) q^{82} +8.61955i q^{83} +(8.53289 + 14.7794i) q^{84} +(-4.26722 + 0.883225i) q^{85} -2.89055 q^{86} +(6.99351 - 4.03771i) q^{87} +(-3.61808 - 2.08890i) q^{88} +(5.15819 - 8.93425i) q^{89} +(0.986548 - 2.98198i) q^{90} +(-9.22398 - 7.81753i) q^{91} +5.08898i q^{92} +(8.81438 + 5.08898i) q^{93} +(-1.13636 + 1.96823i) q^{94} +(0.564617 + 2.72790i) q^{95} -9.91745 q^{96} +(4.56055 - 2.63304i) q^{97} +(1.21648 - 0.702335i) q^{98} +13.7811 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q + 4q^{4} - 6q^{5} - 10q^{6} + 6q^{9} + O(q^{10}) \) \( 12q + 4q^{4} - 6q^{5} - 10q^{6} + 6q^{9} + 7q^{10} - 44q^{14} - 4q^{15} - 16q^{16} + 12q^{19} - q^{20} - 8q^{21} + 32q^{24} - 2q^{25} + 24q^{26} + 18q^{29} + 4q^{30} - 16q^{31} + 16q^{34} + 10q^{35} - 2q^{36} - 32q^{39} + 70q^{40} + 14q^{41} - 4q^{44} - 29q^{45} + 10q^{46} + 6q^{49} - 31q^{50} + 24q^{51} - 22q^{54} - 26q^{55} - 16q^{56} - 4q^{59} - 96q^{60} + 6q^{61} - 12q^{64} + 23q^{65} + 4q^{66} - 24q^{69} + 20q^{70} - 12q^{71} + 8q^{74} + 2q^{75} - 10q^{76} - 104q^{79} + 33q^{80} + 14q^{81} + 90q^{84} + 21q^{85} - 4q^{86} + 20q^{89} + 62q^{90} - 44q^{91} + 56q^{94} + 20q^{95} + 12q^{96} + 104q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).

\(n\) \(27\) \(41\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.286513 + 0.165418i 0.202595 + 0.116968i 0.597865 0.801597i \(-0.296016\pi\)
−0.395270 + 0.918565i \(0.629349\pi\)
\(3\) 2.33117 + 1.34590i 1.34590 + 0.777057i 0.987666 0.156574i \(-0.0500450\pi\)
0.358236 + 0.933631i \(0.383378\pi\)
\(4\) −0.945274 1.63726i −0.472637 0.818631i
\(5\) −2.12291 0.702335i −0.949392 0.314094i
\(6\) 0.445274 + 0.771236i 0.181782 + 0.314856i
\(7\) −2.90420 + 1.67674i −1.09768 + 0.633748i −0.935611 0.353031i \(-0.885151\pi\)
−0.162072 + 0.986779i \(0.551818\pi\)
\(8\) 1.28714i 0.455071i
\(9\) 2.12291 + 3.67698i 0.707635 + 1.22566i
\(10\) −0.492061 0.552395i −0.155603 0.174683i
\(11\) 1.62291 2.81095i 0.489324 0.847535i −0.510600 0.859818i \(-0.670577\pi\)
0.999925 + 0.0122837i \(0.00391011\pi\)
\(12\) 5.08898i 1.46906i
\(13\) 1.21648 + 3.39414i 0.337391 + 0.941365i
\(14\) −1.10945 −0.296514
\(15\) −4.00358 4.49448i −1.03372 1.16047i
\(16\) −1.67763 + 2.90574i −0.419408 + 0.726436i
\(17\) 1.68772 0.974404i 0.409332 0.236328i −0.281171 0.959658i \(-0.590723\pi\)
0.690503 + 0.723330i \(0.257389\pi\)
\(18\) 1.40467i 0.331084i
\(19\) −0.622905 1.07890i −0.142904 0.247517i 0.785685 0.618627i \(-0.212311\pi\)
−0.928589 + 0.371110i \(0.878977\pi\)
\(20\) 0.856821 + 4.13965i 0.191591 + 0.925654i
\(21\) −9.02690 −1.96983
\(22\) 0.929966 0.536916i 0.198269 0.114471i
\(23\) −2.33117 1.34590i −0.486083 0.280640i 0.236865 0.971543i \(-0.423880\pi\)
−0.722948 + 0.690903i \(0.757213\pi\)
\(24\) 1.73236 3.00053i 0.353616 0.612481i
\(25\) 4.01345 + 2.98198i 0.802690 + 0.596396i
\(26\) −0.212916 + 1.17369i −0.0417562 + 0.230180i
\(27\) 3.35348i 0.645377i
\(28\) 5.49052 + 3.16995i 1.03761 + 0.599065i
\(29\) 1.50000 2.59808i 0.278543 0.482451i −0.692480 0.721437i \(-0.743482\pi\)
0.971023 + 0.238987i \(0.0768152\pi\)
\(30\) −0.403608 1.94999i −0.0736883 0.356018i
\(31\) 3.78109 0.679105 0.339552 0.940587i \(-0.389724\pi\)
0.339552 + 0.940587i \(0.389724\pi\)
\(32\) −3.19071 + 1.84216i −0.564043 + 0.325650i
\(33\) 7.56654 4.36854i 1.31717 0.760466i
\(34\) 0.644737 0.110571
\(35\) 7.34297 1.51984i 1.24119 0.256900i
\(36\) 4.01345 6.95150i 0.668909 1.15858i
\(37\) 1.68772 + 0.974404i 0.277459 + 0.160191i 0.632273 0.774746i \(-0.282122\pi\)
−0.354813 + 0.934937i \(0.615456\pi\)
\(38\) 0.412160i 0.0668611i
\(39\) −1.73236 + 9.54958i −0.277399 + 1.52916i
\(40\) −0.904000 + 2.73247i −0.142935 + 0.432041i
\(41\) −1.39055 + 2.40850i −0.217167 + 0.376144i −0.953941 0.299995i \(-0.903015\pi\)
0.736774 + 0.676139i \(0.236348\pi\)
\(42\) −2.58632 1.49321i −0.399078 0.230408i
\(43\) −7.56654 + 4.36854i −1.15389 + 0.666197i −0.949831 0.312763i \(-0.898745\pi\)
−0.204055 + 0.978959i \(0.565412\pi\)
\(44\) −6.13636 −0.925091
\(45\) −1.92426 9.29687i −0.286851 1.38590i
\(46\) −0.445274 0.771236i −0.0656520 0.113713i
\(47\) 6.86960i 1.00203i 0.865437 + 0.501017i \(0.167041\pi\)
−0.865437 + 0.501017i \(0.832959\pi\)
\(48\) −7.82169 + 4.51586i −1.12896 + 0.651808i
\(49\) 2.12291 3.67698i 0.303272 0.525283i
\(50\) 0.656632 + 1.51827i 0.0928618 + 0.214716i
\(51\) 5.24581 0.734560
\(52\) 4.40719 5.20008i 0.611167 0.721122i
\(53\) 12.8336i 1.76282i −0.472347 0.881412i \(-0.656593\pi\)
0.472347 0.881412i \(-0.343407\pi\)
\(54\) −0.554726 + 0.960814i −0.0754887 + 0.130750i
\(55\) −5.41950 + 4.82757i −0.730766 + 0.650949i
\(56\) 2.15819 + 3.73809i 0.288400 + 0.499524i
\(57\) 3.35348i 0.444179i
\(58\) 0.859539 0.496255i 0.112863 0.0651614i
\(59\) −1.26764 2.19562i −0.165033 0.285845i 0.771634 0.636067i \(-0.219440\pi\)
−0.936667 + 0.350221i \(0.886106\pi\)
\(60\) −3.57417 + 10.8034i −0.461423 + 1.39472i
\(61\) 3.74581 + 6.48793i 0.479602 + 0.830695i 0.999726 0.0233957i \(-0.00744777\pi\)
−0.520124 + 0.854090i \(0.674114\pi\)
\(62\) 1.08333 + 0.625462i 0.137583 + 0.0794338i
\(63\) −12.3307 7.11911i −1.55352 0.896924i
\(64\) 5.49162 0.686453
\(65\) −0.198649 8.05981i −0.0246394 0.999696i
\(66\) 2.89055 0.355802
\(67\) −3.47722 2.00758i −0.424810 0.245264i 0.272323 0.962206i \(-0.412208\pi\)
−0.697133 + 0.716942i \(0.745541\pi\)
\(68\) −3.19071 1.84216i −0.386930 0.223394i
\(69\) −3.62291 6.27506i −0.436147 0.755428i
\(70\) 2.35526 + 0.779207i 0.281508 + 0.0931331i
\(71\) −2.62291 4.54300i −0.311282 0.539155i 0.667359 0.744737i \(-0.267425\pi\)
−0.978640 + 0.205581i \(0.934092\pi\)
\(72\) 4.73277 2.73247i 0.557762 0.322024i
\(73\) 5.46493i 0.639622i −0.947481 0.319811i \(-0.896381\pi\)
0.947481 0.319811i \(-0.103619\pi\)
\(74\) 0.322368 + 0.558359i 0.0374746 + 0.0649079i
\(75\) 5.34259 + 12.3532i 0.616909 + 1.42643i
\(76\) −1.17763 + 2.03972i −0.135084 + 0.233972i
\(77\) 10.8848i 1.24043i
\(78\) −2.07602 + 2.44951i −0.235063 + 0.277353i
\(79\) −13.7811 −1.55049 −0.775247 0.631658i \(-0.782375\pi\)
−0.775247 + 0.631658i \(0.782375\pi\)
\(80\) 5.60226 4.99036i 0.626351 0.557939i
\(81\) 1.85526 3.21341i 0.206140 0.357046i
\(82\) −0.796819 + 0.460044i −0.0879940 + 0.0508033i
\(83\) 8.61955i 0.946119i 0.881031 + 0.473059i \(0.156850\pi\)
−0.881031 + 0.473059i \(0.843150\pi\)
\(84\) 8.53289 + 14.7794i 0.931015 + 1.61257i
\(85\) −4.26722 + 0.883225i −0.462845 + 0.0957992i
\(86\) −2.89055 −0.311696
\(87\) 6.99351 4.03771i 0.749783 0.432888i
\(88\) −3.61808 2.08890i −0.385688 0.222677i
\(89\) 5.15819 8.93425i 0.546767 0.947028i −0.451726 0.892156i \(-0.649192\pi\)
0.998493 0.0548717i \(-0.0174750\pi\)
\(90\) 0.986548 2.98198i 0.103991 0.314328i
\(91\) −9.22398 7.81753i −0.966936 0.819500i
\(92\) 5.08898i 0.530563i
\(93\) 8.81438 + 5.08898i 0.914008 + 0.527703i
\(94\) −1.13636 + 1.96823i −0.117206 + 0.203007i
\(95\) 0.564617 + 2.72790i 0.0579285 + 0.279876i
\(96\) −9.91745 −1.01220
\(97\) 4.56055 2.63304i 0.463054 0.267344i −0.250273 0.968175i \(-0.580521\pi\)
0.713328 + 0.700831i \(0.247187\pi\)
\(98\) 1.21648 0.702335i 0.122883 0.0709465i
\(99\) 13.7811 1.38505
\(100\) 1.08847 9.38986i 0.108847 0.938986i
\(101\) −2.85526 + 4.94546i −0.284109 + 0.492092i −0.972393 0.233350i \(-0.925031\pi\)
0.688283 + 0.725442i \(0.258365\pi\)
\(102\) 1.50299 + 0.867753i 0.148818 + 0.0859203i
\(103\) 7.36863i 0.726052i −0.931779 0.363026i \(-0.881744\pi\)
0.931779 0.363026i \(-0.118256\pi\)
\(104\) 4.36872 1.56577i 0.428388 0.153537i
\(105\) 19.1633 + 6.33991i 1.87014 + 0.618712i
\(106\) 2.12291 3.67698i 0.206195 0.357140i
\(107\) 7.42568 + 4.28722i 0.717868 + 0.414461i 0.813967 0.580911i \(-0.197303\pi\)
−0.0960996 + 0.995372i \(0.530637\pi\)
\(108\) 5.49052 3.16995i 0.528326 0.305029i
\(109\) 8.49162 0.813350 0.406675 0.913573i \(-0.366688\pi\)
0.406675 + 0.913573i \(0.366688\pi\)
\(110\) −2.35133 + 0.486675i −0.224190 + 0.0464026i
\(111\) 2.62291 + 4.54300i 0.248955 + 0.431203i
\(112\) 11.2518i 1.06320i
\(113\) −6.35006 + 3.66621i −0.597363 + 0.344888i −0.768004 0.640446i \(-0.778750\pi\)
0.170640 + 0.985333i \(0.445416\pi\)
\(114\) 0.554726 0.960814i 0.0519549 0.0899885i
\(115\) 4.00358 + 4.49448i 0.373336 + 0.419113i
\(116\) −5.67164 −0.526599
\(117\) −9.89771 + 11.6784i −0.915044 + 1.07967i
\(118\) 0.838765i 0.0772145i
\(119\) −3.26764 + 5.65972i −0.299544 + 0.518826i
\(120\) −5.78501 + 5.15315i −0.528097 + 0.470416i
\(121\) 0.232358 + 0.402456i 0.0211234 + 0.0365869i
\(122\) 2.47850i 0.224393i
\(123\) −6.48321 + 3.74308i −0.584571 + 0.337502i
\(124\) −3.57417 6.19064i −0.320970 0.555936i
\(125\) −6.42583 9.14925i −0.574744 0.818333i
\(126\) −2.35526 4.07944i −0.209824 0.363425i
\(127\) −7.93599 4.58185i −0.704205 0.406573i 0.104707 0.994503i \(-0.466610\pi\)
−0.808912 + 0.587930i \(0.799943\pi\)
\(128\) 7.95484 + 4.59273i 0.703115 + 0.405944i
\(129\) −23.5185 −2.07069
\(130\) 1.27632 2.34210i 0.111941 0.205416i
\(131\) 10.0000 0.873704 0.436852 0.899533i \(-0.356093\pi\)
0.436852 + 0.899533i \(0.356093\pi\)
\(132\) −14.3049 8.25894i −1.24508 0.718848i
\(133\) 3.61808 + 2.08890i 0.313727 + 0.181130i
\(134\) −0.664179 1.15039i −0.0573763 0.0993787i
\(135\) 2.35526 7.11911i 0.202709 0.612716i
\(136\) −1.25419 2.17232i −0.107546 0.186275i
\(137\) −14.5914 + 8.42435i −1.24663 + 0.719741i −0.970435 0.241361i \(-0.922406\pi\)
−0.276193 + 0.961102i \(0.589073\pi\)
\(138\) 2.39718i 0.204061i
\(139\) −0.513452 0.889325i −0.0435505 0.0754316i 0.843429 0.537241i \(-0.180534\pi\)
−0.886979 + 0.461810i \(0.847200\pi\)
\(140\) −9.42949 10.5857i −0.796937 0.894654i
\(141\) −9.24581 + 16.0142i −0.778638 + 1.34864i
\(142\) 1.73551i 0.145640i
\(143\) 11.5150 + 2.08890i 0.962933 + 0.174682i
\(144\) −14.2458 −1.18715
\(145\) −5.00908 + 4.46197i −0.415981 + 0.370546i
\(146\) 0.904000 1.56577i 0.0748155 0.129584i
\(147\) 9.89771 5.71445i 0.816349 0.471319i
\(148\) 3.68431i 0.302849i
\(149\) 7.92583 + 13.7279i 0.649309 + 1.12464i 0.983288 + 0.182056i \(0.0582753\pi\)
−0.333979 + 0.942581i \(0.608391\pi\)
\(150\) −0.512727 + 4.42312i −0.0418640 + 0.361146i
\(151\) 14.5454 1.18369 0.591845 0.806052i \(-0.298400\pi\)
0.591845 + 0.806052i \(0.298400\pi\)
\(152\) −1.38869 + 0.801763i −0.112638 + 0.0650316i
\(153\) 7.16573 + 4.13713i 0.579315 + 0.334468i
\(154\) −1.80054 + 3.11862i −0.145091 + 0.251306i
\(155\) −8.02690 2.65559i −0.644736 0.213302i
\(156\) 17.2727 6.19064i 1.38292 0.495648i
\(157\) 10.9210i 0.871588i −0.900047 0.435794i \(-0.856468\pi\)
0.900047 0.435794i \(-0.143532\pi\)
\(158\) −3.94846 2.27964i −0.314123 0.181359i
\(159\) 17.2727 29.9172i 1.36982 2.37259i
\(160\) 8.06738 1.66978i 0.637783 0.132008i
\(161\) 9.02690 0.711420
\(162\) 1.06311 0.613789i 0.0835261 0.0482238i
\(163\) −3.61808 + 2.08890i −0.283390 + 0.163615i −0.634957 0.772547i \(-0.718982\pi\)
0.351567 + 0.936163i \(0.385649\pi\)
\(164\) 5.25779 0.410564
\(165\) −19.1312 + 3.95976i −1.48936 + 0.308267i
\(166\) −1.42583 + 2.46961i −0.110666 + 0.191679i
\(167\) −2.90420 1.67674i −0.224733 0.129750i 0.383407 0.923580i \(-0.374751\pi\)
−0.608140 + 0.793830i \(0.708084\pi\)
\(168\) 11.6188i 0.896413i
\(169\) −10.0404 + 8.25780i −0.772335 + 0.635215i
\(170\) −1.36872 0.452821i −0.104976 0.0347298i
\(171\) 2.64474 4.58082i 0.202248 0.350304i
\(172\) 14.3049 + 8.25894i 1.09074 + 0.629738i
\(173\) 7.56654 4.36854i 0.575273 0.332134i −0.183979 0.982930i \(-0.558898\pi\)
0.759253 + 0.650796i \(0.225565\pi\)
\(174\) 2.67164 0.202537
\(175\) −16.6559 1.93074i −1.25906 0.145950i
\(176\) 5.44527 + 9.43149i 0.410453 + 0.710925i
\(177\) 6.82449i 0.512960i
\(178\) 2.95577 1.70652i 0.221545 0.127909i
\(179\) −9.00507 + 15.5972i −0.673071 + 1.16579i 0.303958 + 0.952685i \(0.401692\pi\)
−0.977029 + 0.213107i \(0.931642\pi\)
\(180\) −13.4025 + 11.9386i −0.998960 + 0.889850i
\(181\) 1.04366 0.0775749 0.0387875 0.999247i \(-0.487650\pi\)
0.0387875 + 0.999247i \(0.487650\pi\)
\(182\) −1.34963 3.76564i −0.100041 0.279128i
\(183\) 20.1660i 1.49071i
\(184\) −1.73236 + 3.00053i −0.127711 + 0.221202i
\(185\) −2.89851 3.25391i −0.213102 0.239232i
\(186\) 1.68362 + 2.91612i 0.123449 + 0.213820i
\(187\) 6.32546i 0.462564i
\(188\) 11.2473 6.49365i 0.820296 0.473598i
\(189\) −5.62291 9.73916i −0.409006 0.708419i
\(190\) −0.289474 + 0.874976i −0.0210006 + 0.0634774i
\(191\) −12.7593 22.0997i −0.923228 1.59908i −0.794387 0.607412i \(-0.792208\pi\)
−0.128841 0.991665i \(-0.541126\pi\)
\(192\) 12.8019 + 7.39118i 0.923898 + 0.533413i
\(193\) 17.1652 + 9.91035i 1.23558 + 0.713362i 0.968188 0.250225i \(-0.0805047\pi\)
0.267392 + 0.963588i \(0.413838\pi\)
\(194\) 1.74221 0.125083
\(195\) 10.3846 19.0562i 0.743659 1.36464i
\(196\) −8.02690 −0.573350
\(197\) 18.7512 + 10.8260i 1.33596 + 0.771319i 0.986206 0.165521i \(-0.0529304\pi\)
0.349758 + 0.936840i \(0.386264\pi\)
\(198\) 3.94846 + 2.27964i 0.280605 + 0.162007i
\(199\) 9.11453 + 15.7868i 0.646112 + 1.11910i 0.984044 + 0.177928i \(0.0569393\pi\)
−0.337932 + 0.941171i \(0.609727\pi\)
\(200\) 3.83821 5.16586i 0.271402 0.365281i
\(201\) −5.40400 9.36000i −0.381169 0.660204i
\(202\) −1.63614 + 0.944625i −0.115118 + 0.0664636i
\(203\) 10.0604i 0.706104i
\(204\) −4.95873 8.58877i −0.347180 0.601334i
\(205\) 4.64357 4.13638i 0.324321 0.288898i
\(206\) 1.21891 2.11121i 0.0849252 0.147095i
\(207\) 11.4289i 0.794363i
\(208\) −11.9033 2.15934i −0.825345 0.149723i
\(209\) −4.04366 −0.279706
\(210\) 4.44178 + 4.98642i 0.306512 + 0.344096i
\(211\) −9.64981 + 16.7140i −0.664320 + 1.15064i 0.315149 + 0.949042i \(0.397946\pi\)
−0.979469 + 0.201594i \(0.935388\pi\)
\(212\) −21.0119 + 12.1312i −1.44310 + 0.833176i
\(213\) 14.1207i 0.967534i
\(214\) 1.41837 + 2.45669i 0.0969577 + 0.167936i
\(215\) 19.1312 3.95976i 1.30474 0.270053i
\(216\) 4.31638 0.293692
\(217\) −10.9810 + 6.33991i −0.745442 + 0.430381i
\(218\) 2.43296 + 1.40467i 0.164781 + 0.0951362i
\(219\) 7.35526 12.7397i 0.497023 0.860868i
\(220\) 13.0269 + 4.30978i 0.878274 + 0.290565i
\(221\) 5.36034 + 4.54300i 0.360575 + 0.305596i
\(222\) 1.73551i 0.116480i
\(223\) −10.7134 6.18537i −0.717421 0.414203i 0.0963818 0.995344i \(-0.469273\pi\)
−0.813803 + 0.581141i \(0.802606\pi\)
\(224\) 6.17763 10.7000i 0.412760 0.714922i
\(225\) −2.44450 + 21.0878i −0.162967 + 1.40586i
\(226\) −2.42583 −0.161364
\(227\) 5.33715 3.08141i 0.354239 0.204520i −0.312311 0.949980i \(-0.601103\pi\)
0.666551 + 0.745460i \(0.267770\pi\)
\(228\) −5.49052 + 3.16995i −0.363619 + 0.209935i
\(229\) 26.9832 1.78310 0.891551 0.452920i \(-0.149618\pi\)
0.891551 + 0.452920i \(0.149618\pi\)
\(230\) 0.403608 + 1.94999i 0.0266131 + 0.128579i
\(231\) −14.6498 + 25.3742i −0.963887 + 1.66950i
\(232\) −3.34408 1.93070i −0.219549 0.126757i
\(233\) 0.824319i 0.0540029i 0.999635 + 0.0270015i \(0.00859588\pi\)
−0.999635 + 0.0270015i \(0.991404\pi\)
\(234\) −4.76764 + 1.70875i −0.311671 + 0.111705i
\(235\) 4.82476 14.5835i 0.314733 0.951323i
\(236\) −2.39654 + 4.15092i −0.156001 + 0.270202i
\(237\) −32.1261 18.5480i −2.08681 1.20482i
\(238\) −1.87244 + 1.08106i −0.121372 + 0.0700744i
\(239\) −4.00000 −0.258738 −0.129369 0.991596i \(-0.541295\pi\)
−0.129369 + 0.991596i \(0.541295\pi\)
\(240\) 19.7764 4.09329i 1.27656 0.264221i
\(241\) −11.3469 19.6534i −0.730917 1.26599i −0.956492 0.291760i \(-0.905759\pi\)
0.225575 0.974226i \(-0.427574\pi\)
\(242\) 0.153745i 0.00988310i
\(243\) 17.3625 10.0242i 1.11380 0.643054i
\(244\) 7.08163 12.2657i 0.453355 0.785234i
\(245\) −7.08920 + 6.31489i −0.452912 + 0.403443i
\(246\) −2.47670 −0.157908
\(247\) 2.90420 3.42669i 0.184790 0.218035i
\(248\) 4.86678i 0.309041i
\(249\) −11.6011 + 20.0936i −0.735188 + 1.27338i
\(250\) −0.327631 3.68433i −0.0207212 0.233017i
\(251\) −9.51345 16.4778i −0.600484 1.04007i −0.992748 0.120216i \(-0.961641\pi\)
0.392264 0.919853i \(-0.371692\pi\)
\(252\) 26.9180i 1.69568i
\(253\) −7.56654 + 4.36854i −0.475704 + 0.274648i
\(254\) −1.51584 2.62552i −0.0951124 0.164739i
\(255\) −11.1364 3.68431i −0.697386 0.230721i
\(256\) −3.97218 6.88001i −0.248261 0.430001i
\(257\) −1.82857 1.05573i −0.114063 0.0658544i 0.441883 0.897073i \(-0.354311\pi\)
−0.555946 + 0.831218i \(0.687644\pi\)
\(258\) −6.73836 3.89039i −0.419512 0.242205i
\(259\) −6.53528 −0.406083
\(260\) −13.0082 + 7.94397i −0.806737 + 0.492664i
\(261\) 12.7374 0.788427
\(262\) 2.86513 + 1.65418i 0.177008 + 0.102196i
\(263\) −25.9092 14.9587i −1.59763 0.922391i −0.991943 0.126687i \(-0.959566\pi\)
−0.605685 0.795704i \(-0.707101\pi\)
\(264\) −5.62291 9.73916i −0.346066 0.599404i
\(265\) −9.01345 + 27.2444i −0.553692 + 1.67361i
\(266\) 0.691084 + 1.19699i 0.0423731 + 0.0733923i
\(267\) 24.0492 13.8848i 1.47179 0.849738i
\(268\) 7.59083i 0.463684i
\(269\) 9.29455 + 16.0986i 0.566699 + 0.981551i 0.996889 + 0.0788127i \(0.0251129\pi\)
−0.430191 + 0.902738i \(0.641554\pi\)
\(270\) 1.85244 1.65011i 0.112736 0.100423i
\(271\) −2.91238 + 5.04439i −0.176914 + 0.306425i −0.940822 0.338901i \(-0.889945\pi\)
0.763908 + 0.645326i \(0.223278\pi\)
\(272\) 6.53876i 0.396471i
\(273\) −10.9810 30.6386i −0.664603 1.85433i
\(274\) −5.57417 −0.336748
\(275\) 14.8957 6.44216i 0.898242 0.388477i
\(276\) −6.84927 + 11.8633i −0.412278 + 0.714086i
\(277\) 11.7263 6.77017i 0.704564 0.406780i −0.104481 0.994527i \(-0.533318\pi\)
0.809045 + 0.587747i \(0.199985\pi\)
\(278\) 0.339738i 0.0203761i
\(279\) 8.02690 + 13.9030i 0.480558 + 0.832351i
\(280\) −1.95624 9.45139i −0.116908 0.564829i
\(281\) −0.464716 −0.0277226 −0.0138613 0.999904i \(-0.504412\pi\)
−0.0138613 + 0.999904i \(0.504412\pi\)
\(282\) −5.29809 + 3.05885i −0.315496 + 0.182152i
\(283\) 8.71259 + 5.03022i 0.517910 + 0.299015i 0.736079 0.676896i \(-0.236675\pi\)
−0.218169 + 0.975911i \(0.570009\pi\)
\(284\) −4.95873 + 8.58877i −0.294246 + 0.509649i
\(285\) −2.35526 + 7.11911i −0.139514 + 0.421700i
\(286\) 2.95365 + 2.50329i 0.174653 + 0.148022i
\(287\) 9.32634i 0.550516i
\(288\) −13.5471 7.82145i −0.798273 0.460883i
\(289\) −6.60107 + 11.4334i −0.388298 + 0.672553i
\(290\) −2.17326 + 0.449818i −0.127618 + 0.0264142i
\(291\) 14.1752 0.830967
\(292\) −8.94752 + 5.16586i −0.523614 + 0.302309i
\(293\) −11.6481 + 6.72506i −0.680492 + 0.392882i −0.800040 0.599946i \(-0.795189\pi\)
0.119548 + 0.992828i \(0.461855\pi\)
\(294\) 3.78109 0.220518
\(295\) 1.14902 + 5.55140i 0.0668987 + 0.323215i
\(296\) 1.25419 2.17232i 0.0728983 0.126264i
\(297\) 9.42647 + 5.44238i 0.546979 + 0.315799i
\(298\) 5.24431i 0.303795i
\(299\) 1.73236 9.54958i 0.100185 0.552266i
\(300\) 15.1752 20.4244i 0.876143 1.17920i
\(301\) 14.6498 25.3742i 0.844401 1.46255i
\(302\) 4.16745 + 2.40608i 0.239810 + 0.138454i
\(303\) −13.3122 + 7.68581i −0.764767 + 0.441538i
\(304\) 4.18002 0.239741
\(305\) −3.39530 16.4041i −0.194414 0.939295i
\(306\) 1.36872 + 2.37068i 0.0782442 + 0.135523i
\(307\) 24.6077i 1.40444i 0.711961 + 0.702219i \(0.247807\pi\)
−0.711961 + 0.702219i \(0.752193\pi\)
\(308\) 17.8212 10.2891i 1.01546 0.586274i
\(309\) 9.91745 17.1775i 0.564184 0.977196i
\(310\) −1.86053 2.08866i −0.105671 0.118628i
\(311\) 2.43781 0.138236 0.0691178 0.997609i \(-0.477982\pi\)
0.0691178 + 0.997609i \(0.477982\pi\)
\(312\) 12.2916 + 2.22978i 0.695875 + 0.126236i
\(313\) 19.2965i 1.09071i 0.838207 + 0.545353i \(0.183604\pi\)
−0.838207 + 0.545353i \(0.816396\pi\)
\(314\) 1.80653 3.12900i 0.101948 0.176579i
\(315\) 21.1768 + 23.7735i 1.19318 + 1.33948i
\(316\) 13.0269 + 22.5633i 0.732821 + 1.26928i
\(317\) 28.8217i 1.61879i −0.587265 0.809395i \(-0.699795\pi\)
0.587265 0.809395i \(-0.300205\pi\)
\(318\) 9.89771 5.71445i 0.555036 0.320450i
\(319\) −4.86872 8.43286i −0.272596 0.472150i
\(320\) −11.6582 3.85695i −0.651713 0.215610i
\(321\) 11.5404 + 19.9885i 0.644120 + 1.11565i
\(322\) 2.58632 + 1.49321i 0.144130 + 0.0832136i
\(323\) −2.10258 1.21392i −0.116990 0.0675445i
\(324\) −7.01492 −0.389718
\(325\) −5.23897 + 17.2497i −0.290606 + 0.956843i
\(326\) −1.38217 −0.0765512
\(327\) 19.7954 + 11.4289i 1.09469 + 0.632019i
\(328\) 3.10006 + 1.78982i 0.171172 + 0.0988264i
\(329\) −11.5185 19.9507i −0.635037 1.09992i
\(330\) −6.13636 2.03013i −0.337795 0.111755i
\(331\) 1.48655 + 2.57478i 0.0817081 + 0.141522i 0.903984 0.427567i \(-0.140629\pi\)
−0.822276 + 0.569089i \(0.807296\pi\)
\(332\) 14.1125 8.14783i 0.774522 0.447171i
\(333\) 8.27427i 0.453427i
\(334\) −0.554726 0.960814i −0.0303533 0.0525734i
\(335\) 5.97182 + 6.70407i 0.326276 + 0.366282i
\(336\) 15.1438 26.2299i 0.826163 1.43096i
\(337\) 1.90370i 0.103701i 0.998655 + 0.0518505i \(0.0165119\pi\)
−0.998655 + 0.0518505i \(0.983488\pi\)
\(338\) −4.24268 + 0.705107i −0.230771 + 0.0383528i
\(339\) −19.7374 −1.07199
\(340\) 5.47976 + 6.15167i 0.297182 + 0.333621i
\(341\) 6.13636 10.6285i 0.332302 0.575565i
\(342\) 1.51550 0.874976i 0.0819490 0.0473133i
\(343\) 9.23611i 0.498703i
\(344\) 5.62291 + 9.73916i 0.303167 + 0.525100i
\(345\) 3.28390 + 15.8658i 0.176799 + 0.854188i
\(346\) 2.89055 0.155397
\(347\) −10.9420 + 6.31735i −0.587396 + 0.339133i −0.764067 0.645137i \(-0.776800\pi\)
0.176671 + 0.984270i \(0.443467\pi\)
\(348\) −13.2216 7.63347i −0.708750 0.409197i
\(349\) 4.48655 7.77093i 0.240159 0.415968i −0.720600 0.693351i \(-0.756134\pi\)
0.960760 + 0.277383i \(0.0894670\pi\)
\(350\) −4.45274 3.30837i −0.238009 0.176840i
\(351\) −11.3822 + 4.07944i −0.607535 + 0.217744i
\(352\) 11.9586i 0.637395i
\(353\) −29.6618 17.1252i −1.57874 0.911484i −0.995036 0.0995150i \(-0.968271\pi\)
−0.583701 0.811969i \(-0.698396\pi\)
\(354\) 1.12890 1.95530i 0.0600001 0.103923i
\(355\) 2.37747 + 11.4865i 0.126183 + 0.609641i
\(356\) −19.5036 −1.03369
\(357\) −15.2349 + 8.79585i −0.806315 + 0.465526i
\(358\) −5.16014 + 2.97921i −0.272722 + 0.157456i
\(359\) −22.4043 −1.18245 −0.591227 0.806505i \(-0.701356\pi\)
−0.591227 + 0.806505i \(0.701356\pi\)
\(360\) −11.9663 + 2.47678i −0.630681 + 0.130538i
\(361\) 8.72398 15.1104i 0.459157 0.795283i
\(362\) 0.299023 + 0.172641i 0.0157163 + 0.00907381i
\(363\) 1.25092i 0.0656565i
\(364\) −4.08016 + 22.4918i −0.213858 + 1.17889i
\(365\) −3.83821 + 11.6015i −0.200901 + 0.607252i
\(366\) −3.33582 + 5.77781i −0.174366 + 0.302011i
\(367\) 11.4273 + 6.59753i 0.596498 + 0.344388i 0.767663 0.640854i \(-0.221420\pi\)
−0.171165 + 0.985242i \(0.554753\pi\)
\(368\) 7.82169 4.51586i 0.407734 0.235405i
\(369\) −11.8080 −0.614700
\(370\) −0.292203 1.41175i −0.0151909 0.0733935i
\(371\) 21.5185 + 37.2712i 1.11719 + 1.93502i
\(372\) 19.2419i 0.997647i
\(373\) 13.2168 7.63070i 0.684338 0.395103i −0.117149 0.993114i \(-0.537376\pi\)
0.801488 + 0.598012i \(0.204042\pi\)
\(374\) 1.04635 1.81233i 0.0541053 0.0937131i
\(375\) −2.66572 29.9770i −0.137657 1.54801i
\(376\) 8.84210 0.455997
\(377\) 10.6430 + 1.93070i 0.548140 + 0.0994362i
\(378\) 3.72052i 0.191363i
\(379\) 9.11453 15.7868i 0.468182 0.810915i −0.531157 0.847273i \(-0.678243\pi\)
0.999339 + 0.0363588i \(0.0115759\pi\)
\(380\) 3.93256 3.50304i 0.201736 0.179702i
\(381\) −12.3334 21.3621i −0.631861 1.09442i
\(382\) 8.44246i 0.431954i
\(383\) −1.24784 + 0.720440i −0.0637616 + 0.0368128i −0.531542 0.847032i \(-0.678387\pi\)
0.467780 + 0.883845i \(0.345054\pi\)
\(384\) 12.3627 + 21.4129i 0.630883 + 1.09272i
\(385\) 7.64474 23.1073i 0.389612 1.17766i
\(386\) 3.27870 + 5.67888i 0.166882 + 0.289048i
\(387\) −32.1261 18.5480i −1.63306 0.942848i
\(388\) −8.62194 4.97788i −0.437713 0.252714i
\(389\) 18.7912 0.952754 0.476377 0.879241i \(-0.341950\pi\)
0.476377 + 0.879241i \(0.341950\pi\)
\(390\) 6.12757 3.74203i 0.310281 0.189485i
\(391\) −5.24581 −0.265292
\(392\) −4.73277 2.73247i −0.239041 0.138010i
\(393\) 23.3117 + 13.4590i 1.17592 + 0.678918i
\(394\) 3.58163 + 6.20357i 0.180440 + 0.312531i
\(395\) 29.2560 + 9.67894i 1.47203 + 0.487000i
\(396\) −13.0269 22.5633i −0.654627 1.13385i
\(397\) −14.8027 + 8.54634i −0.742926 + 0.428928i −0.823132 0.567850i \(-0.807775\pi\)
0.0802063 + 0.996778i \(0.474442\pi\)
\(398\) 6.03084i 0.302298i
\(399\) 5.62291 + 9.73916i 0.281497 + 0.487568i
\(400\) −15.3980 + 6.65940i −0.769898 + 0.332970i
\(401\) −11.1011 + 19.2276i −0.554361 + 0.960182i 0.443592 + 0.896229i \(0.353704\pi\)
−0.997953 + 0.0639527i \(0.979629\pi\)
\(402\) 3.57568i 0.178339i
\(403\) 4.59962 + 12.8336i 0.229124 + 0.639285i
\(404\) 10.7960 0.537122
\(405\) −6.19544 + 5.51875i −0.307854 + 0.274229i
\(406\) −1.66418 + 2.88244i −0.0825918 + 0.143053i
\(407\) 5.47801 3.16273i 0.271535 0.156771i
\(408\) 6.75207i 0.334277i
\(409\) −4.81638 8.34221i −0.238155 0.412496i 0.722030 0.691862i \(-0.243209\pi\)
−0.960185 + 0.279366i \(0.909876\pi\)
\(410\) 2.01468 0.416996i 0.0994978 0.0205939i
\(411\) −45.3534 −2.23712
\(412\) −12.0644 + 6.96537i −0.594369 + 0.343159i
\(413\) 7.36296 + 4.25101i 0.362308 + 0.209178i
\(414\) 1.89055 3.27452i 0.0929153 0.160934i
\(415\) 6.05381 18.2985i 0.297170 0.898238i
\(416\) −10.1340 8.58877i −0.496859 0.421099i
\(417\) 2.76423i 0.135365i
\(418\) −1.15856 0.668896i −0.0566671 0.0327168i
\(419\) −0.978168 + 1.69424i −0.0477866 + 0.0827689i −0.888929 0.458044i \(-0.848550\pi\)
0.841143 + 0.540813i \(0.181883\pi\)
\(420\) −7.73444 37.3682i −0.377402 1.82338i
\(421\) −12.0807 −0.588778 −0.294389 0.955686i \(-0.595116\pi\)
−0.294389 + 0.955686i \(0.595116\pi\)
\(422\) −5.52959 + 3.19251i −0.269176 + 0.155409i
\(423\) −25.2594 + 14.5835i −1.22815 + 0.709075i
\(424\) −16.5185 −0.802210
\(425\) 9.67923 + 1.12201i 0.469511 + 0.0544257i
\(426\) 2.33582 4.04576i 0.113171 0.196018i
\(427\) −21.7571 12.5615i −1.05290 0.607893i
\(428\) 16.2104i 0.783558i
\(429\) 24.0320 + 20.3676i 1.16027 + 0.983359i
\(430\) 6.13636 + 2.03013i 0.295921 + 0.0979016i
\(431\) −12.2945 + 21.2948i −0.592207 + 1.02573i 0.401727 + 0.915759i \(0.368410\pi\)
−0.993934 + 0.109974i \(0.964923\pi\)
\(432\) −9.74434 5.62590i −0.468825 0.270676i
\(433\) 31.2400 18.0364i 1.50130 0.866775i 0.501299 0.865274i \(-0.332856\pi\)
0.999999 0.00150085i \(-0.000477735\pi\)
\(434\) −4.19495 −0.201364
\(435\) −17.6824 + 3.65988i −0.847805 + 0.175478i
\(436\) −8.02690 13.9030i −0.384419 0.665833i
\(437\) 3.35348i 0.160419i
\(438\) 4.21475 2.43339i 0.201389 0.116272i
\(439\) 1.26764 2.19562i 0.0605013 0.104791i −0.834188 0.551480i \(-0.814063\pi\)
0.894690 + 0.446688i \(0.147397\pi\)
\(440\) 6.21373 + 6.97563i 0.296228 + 0.332550i
\(441\) 18.0269 0.858424
\(442\) 0.784309 + 2.18833i 0.0373058 + 0.104088i
\(443\) 19.3579i 0.919721i 0.887991 + 0.459860i \(0.152101\pi\)
−0.887991 + 0.459860i \(0.847899\pi\)
\(444\) 4.95873 8.58877i 0.235331 0.407605i
\(445\) −17.2252 + 15.3438i −0.816552 + 0.727365i
\(446\) −2.04635 3.54438i −0.0968973 0.167831i
\(447\) 42.6696i 2.01820i
\(448\) −15.9487 + 9.20801i −0.753507 + 0.435038i
\(449\) −12.4040 21.4844i −0.585381 1.01391i −0.994828 0.101576i \(-0.967612\pi\)
0.409447 0.912334i \(-0.365722\pi\)
\(450\) −4.18869 + 5.63757i −0.197457 + 0.265758i
\(451\) 4.51345 + 7.81753i 0.212530 + 0.368113i
\(452\) 12.0051 + 6.93114i 0.564672 + 0.326013i
\(453\) 33.9079 + 19.5767i 1.59313 + 0.919795i
\(454\) 2.03888 0.0956896
\(455\) 14.0911 + 23.0742i 0.660601 + 1.08173i
\(456\) −4.31638 −0.202133
\(457\) −6.55363 3.78374i −0.306566 0.176996i 0.338823 0.940850i \(-0.389971\pi\)
−0.645389 + 0.763854i \(0.723305\pi\)
\(458\) 7.73105 + 4.46352i 0.361248 + 0.208567i
\(459\) 3.26764 + 5.65972i 0.152520 + 0.264173i
\(460\) 3.57417 10.8034i 0.166646 0.503712i
\(461\) 6.17164 + 10.6896i 0.287442 + 0.497864i 0.973198 0.229967i \(-0.0738618\pi\)
−0.685756 + 0.727831i \(0.740528\pi\)
\(462\) −8.39472 + 4.84669i −0.390558 + 0.225489i
\(463\) 22.8578i 1.06229i −0.847281 0.531146i \(-0.821762\pi\)
0.847281 0.531146i \(-0.178238\pi\)
\(464\) 5.03289 + 8.71723i 0.233646 + 0.404687i
\(465\) −15.1379 16.9941i −0.702004 0.788081i
\(466\) −0.136357 + 0.236178i −0.00631664 + 0.0109407i
\(467\) 15.2976i 0.707889i −0.935266 0.353945i \(-0.884840\pi\)
0.935266 0.353945i \(-0.115160\pi\)
\(468\) 28.4766 + 5.16586i 1.31633 + 0.238792i
\(469\) 13.4647 0.621743
\(470\) 3.79473 3.38026i 0.175038 0.155920i
\(471\) 14.6985 25.4586i 0.677273 1.17307i
\(472\) −2.82606 + 1.63163i −0.130080 + 0.0751017i
\(473\) 28.3589i 1.30394i
\(474\) −6.13636 10.6285i −0.281852 0.488182i
\(475\) 0.717267 6.18762i 0.0329105 0.283907i
\(476\) 12.3553 0.566303
\(477\) 47.1887 27.2444i 2.16062 1.24744i
\(478\) −1.14605 0.661673i −0.0524192 0.0302642i
\(479\) 12.1414 21.0296i 0.554756 0.960866i −0.443166 0.896439i \(-0.646145\pi\)
0.997922 0.0644264i \(-0.0205218\pi\)
\(480\) 21.0538 + 6.96537i 0.960971 + 0.317924i
\(481\) −1.25419 + 6.91369i −0.0571861 + 0.315237i
\(482\) 7.50793i 0.341977i
\(483\) 21.0433 + 12.1493i 0.957501 + 0.552814i
\(484\) 0.439284 0.760862i 0.0199674 0.0345846i
\(485\) −11.5309 + 2.38665i −0.523591 + 0.108372i
\(486\) 6.63276 0.300868
\(487\) 31.9462 18.4441i 1.44762 0.835783i 0.449280 0.893391i \(-0.351681\pi\)
0.998339 + 0.0576081i \(0.0183474\pi\)
\(488\) 8.35085 4.82136i 0.378025 0.218253i
\(489\) −11.2458 −0.508553
\(490\) −3.07574 + 0.636614i −0.138948 + 0.0287593i
\(491\) 17.6767 30.6170i 0.797739 1.38172i −0.123346 0.992364i \(-0.539363\pi\)
0.921085 0.389361i \(-0.127304\pi\)
\(492\) 12.2568 + 7.07647i 0.552580 + 0.319032i
\(493\) 5.84642i 0.263310i
\(494\) 1.39893 0.501383i 0.0629407 0.0225583i
\(495\) −29.2560 9.67894i −1.31496 0.435036i
\(496\) −6.34328 + 10.9869i −0.284822 + 0.493326i
\(497\) 15.2349 + 8.79585i 0.683377 + 0.394548i
\(498\) −6.64771 + 3.83806i −0.297891 + 0.171988i
\(499\) −16.2189 −0.726058 −0.363029 0.931778i \(-0.618257\pi\)
−0.363029 + 0.931778i \(0.618257\pi\)
\(500\) −8.90554 + 19.1693i −0.398268 + 0.857278i
\(501\) −4.51345 7.81753i −0.201646 0.349261i
\(502\) 6.29480i 0.280950i
\(503\) −17.5270 + 10.1192i −0.781489 + 0.451193i −0.836958 0.547268i \(-0.815668\pi\)
0.0554688 + 0.998460i \(0.482335\pi\)
\(504\) −9.16326 + 15.8712i −0.408164 + 0.706961i
\(505\) 9.53482 8.49339i 0.424294 0.377951i
\(506\) −2.89055 −0.128500
\(507\) −34.5200 + 5.73700i −1.53309 + 0.254789i
\(508\) 17.3244i 0.768646i
\(509\) −10.0185 + 17.3526i −0.444063 + 0.769140i −0.997986 0.0634276i \(-0.979797\pi\)
0.553923 + 0.832568i \(0.313130\pi\)
\(510\) −2.58126 2.89776i −0.114300 0.128315i
\(511\) 9.16326 + 15.8712i 0.405359 + 0.702102i
\(512\) 20.9992i 0.928042i
\(513\) 3.61808 2.08890i 0.159742 0.0922271i
\(514\) −0.349273 0.604959i −0.0154058 0.0266836i
\(515\) −5.17524 + 15.6429i −0.228048 + 0.689308i
\(516\) 22.2314 + 38.5060i 0.978685 + 1.69513i
\(517\) 19.3101 + 11.1487i 0.849259 + 0.490320i
\(518\) −1.87244 1.08106i −0.0822704 0.0474988i
\(519\) 23.5185 1.03235
\(520\) −10.3741 + 0.255688i −0.454933 + 0.0112127i
\(521\) 16.0269 0.702151 0.351076 0.936347i \(-0.385816\pi\)
0.351076 + 0.936347i \(0.385816\pi\)
\(522\) 3.64944 + 2.10700i 0.159732 + 0.0922210i
\(523\) −10.1654 5.86898i −0.444501 0.256633i 0.261004 0.965338i \(-0.415946\pi\)
−0.705505 + 0.708705i \(0.749280\pi\)
\(524\) −9.45274 16.3726i −0.412945 0.715241i
\(525\) −36.2291 26.9180i −1.58117 1.17480i
\(526\) −4.94887 8.57170i −0.215781 0.373744i
\(527\) 6.38142 3.68431i 0.277979 0.160491i
\(528\) 29.3152i 1.27578i
\(529\) −7.87709 13.6435i −0.342482 0.593197i
\(530\) −7.08920 + 6.31489i −0.307935 + 0.274301i
\(531\) 5.38217 9.32219i 0.233566 0.404548i
\(532\) 7.89832i 0.342436i
\(533\) −9.86635 1.78982i −0.427359 0.0775258i
\(534\) 9.18722 0.397570
\(535\) −12.7530 14.3167i −0.551358 0.618964i
\(536\) −2.58402 + 4.47565i −0.111613 + 0.193319i
\(537\) −41.9847 + 24.2399i −1.81177 + 1.04603i
\(538\) 6.14995i 0.265143i
\(539\) −6.89055 11.9348i −0.296797 0.514067i
\(540\) −13.8822 + 2.87333i −0.597396 + 0.123648i
\(541\) −21.8080 −0.937599 −0.468800 0.883305i \(-0.655313\pi\)
−0.468800 + 0.883305i \(0.655313\pi\)
\(542\) −1.66887 + 0.963521i −0.0716840 + 0.0413868i
\(543\) 2.43296 + 1.40467i 0.104408 + 0.0602801i
\(544\) −3.59001 + 6.21808i −0.153920 + 0.266598i
\(545\) −18.0269 5.96396i −0.772188 0.255468i
\(546\) 1.92197 10.5948i 0.0822527 0.453416i
\(547\) 6.30924i 0.269764i −0.990862 0.134882i \(-0.956935\pi\)
0.990862 0.134882i \(-0.0430655\pi\)
\(548\) 27.5858 + 15.9266i 1.17840 + 0.680352i
\(549\) −15.9040 + 27.5465i −0.678766 + 1.17566i
\(550\) 5.33345 + 0.618252i 0.227419 + 0.0263624i
\(551\) −3.73743 −0.159220
\(552\) −8.07684 + 4.66317i −0.343773 + 0.198478i
\(553\) 40.0230 23.1073i 1.70195 0.982622i
\(554\) 4.47964 0.190322
\(555\) −2.37747 11.4865i −0.100918 0.487576i
\(556\) −0.970706 + 1.68131i −0.0411671 + 0.0713035i
\(557\) −31.0364 17.9189i −1.31506 0.759247i −0.332126 0.943235i \(-0.607766\pi\)
−0.982929 + 0.183987i \(0.941099\pi\)
\(558\) 5.31119i 0.224840i
\(559\) −24.0320 20.3676i −1.01644 0.861459i
\(560\) −7.90253 + 23.8865i −0.333943 + 1.00939i
\(561\) 8.51345 14.7457i 0.359438 0.622565i
\(562\) −0.133147 0.0768725i −0.00561647 0.00324267i
\(563\) −4.33196 + 2.50106i −0.182570 + 0.105407i −0.588500 0.808497i \(-0.700281\pi\)
0.405929 + 0.913904i \(0.366948\pi\)
\(564\) 34.9593 1.47205
\(565\) 16.0555 3.32315i 0.675459 0.139806i
\(566\) 1.66418 + 2.88244i 0.0699507 + 0.121158i
\(567\) 12.4432i 0.522564i
\(568\) −5.84746 + 3.37603i −0.245354 + 0.141655i
\(569\) −6.58402 + 11.4039i −0.276017 + 0.478075i −0.970391 0.241539i \(-0.922348\pi\)
0.694375 + 0.719614i \(0.255681\pi\)
\(570\) −1.85244 + 1.65011i −0.0775904 + 0.0691157i
\(571\) 19.8349 0.830065 0.415032 0.909807i \(-0.363770\pi\)
0.415032 + 0.909807i \(0.363770\pi\)
\(572\) −7.46475 20.8276i −0.312117 0.870848i
\(573\) 68.6909i 2.86960i
\(574\) 1.54275 2.67212i 0.0643930 0.111532i
\(575\) −5.34259 12.3532i −0.222801 0.515165i
\(576\) 11.6582 + 20.1926i 0.485758 + 0.841357i
\(577\) 10.9210i 0.454646i 0.973819 + 0.227323i \(0.0729972\pi\)
−0.973819 + 0.227323i \(0.927003\pi\)
\(578\) −3.78258 + 2.18388i −0.157335 + 0.0908373i
\(579\) 26.6767 + 46.2054i 1.10865 + 1.92023i
\(580\) 12.0404 + 3.98339i 0.499949 + 0.165401i
\(581\) −14.4527 25.0329i −0.599601 1.03854i
\(582\) 4.06139 + 2.34484i 0.168350 + 0.0971969i
\(583\) −36.0745 20.8276i −1.49406 0.862593i
\(584\) −7.03411 −0.291073
\(585\) 29.2140 17.8406i 1.20785 0.737620i
\(586\) −4.44979 −0.183819
\(587\) −35.0303 20.2247i −1.44585 0.834764i −0.447624 0.894222i \(-0.647730\pi\)
−0.998231 + 0.0594576i \(0.981063\pi\)
\(588\) −18.7121 10.8034i −0.771673 0.445526i
\(589\) −2.35526 4.07944i −0.0970469 0.168090i
\(590\) −0.589093 + 1.78062i −0.0242526 + 0.0733069i
\(591\) 29.1414 + 50.4744i 1.19872 + 2.07624i
\(592\) −5.66274 + 3.26938i −0.232737 + 0.134371i
\(593\) 1.47709i 0.0606569i −0.999540 0.0303284i \(-0.990345\pi\)
0.999540 0.0303284i \(-0.00965532\pi\)
\(594\) 1.80054 + 3.11862i 0.0738769 + 0.127959i
\(595\) 10.9119 9.72008i 0.447345 0.398484i
\(596\) 14.9842 25.9533i 0.613775 1.06309i
\(597\) 49.0690i 2.00826i
\(598\) 2.07602 2.44951i 0.0848947 0.100168i
\(599\) −2.27271 −0.0928606 −0.0464303 0.998922i \(-0.514785\pi\)
−0.0464303 + 0.998922i \(0.514785\pi\)
\(600\) 15.9003 6.87664i 0.649125 0.280738i
\(601\) −3.70215 + 6.41231i −0.151014 + 0.261563i −0.931600 0.363484i \(-0.881587\pi\)
0.780587 + 0.625048i \(0.214920\pi\)
\(602\) 8.39472 4.84669i 0.342143 0.197536i
\(603\) 17.0476i 0.694231i
\(604\) −13.7494 23.8147i −0.559456 0.969005i
\(605\) −0.210615 1.01757i −0.00856273 0.0413700i
\(606\) −5.08549 −0.206584
\(607\) −9.26059 + 5.34661i −0.375876 + 0.217012i −0.676022 0.736881i \(-0.736298\pi\)
0.300146 + 0.953893i \(0.402964\pi\)
\(608\) 3.97502 + 2.29498i 0.161208 + 0.0930736i
\(609\) −13.5404 + 23.4526i −0.548683 + 0.950347i
\(610\) 1.74074 5.26162i 0.0704804 0.213037i
\(611\) −23.3164 + 8.35673i −0.943280 + 0.338077i
\(612\) 15.6429i 0.632327i
\(613\) 5.26673 + 3.04075i 0.212721 + 0.122815i 0.602575 0.798062i \(-0.294141\pi\)
−0.389854 + 0.920877i \(0.627475\pi\)
\(614\) −4.07057 + 7.05043i −0.164275 + 0.284532i
\(615\) 16.3921 3.39283i 0.660994 0.136812i
\(616\) 14.0101 0.564485
\(617\) 27.5732 15.9194i 1.11006 0.640892i 0.171213 0.985234i \(-0.445231\pi\)
0.938844 + 0.344342i \(0.111898\pi\)
\(618\) 5.68295 3.28106i 0.228602 0.131983i
\(619\) 26.4043 1.06128 0.530639 0.847598i \(-0.321952\pi\)
0.530639 + 0.847598i \(0.321952\pi\)
\(620\) 3.23972 + 15.6524i 0.130110 + 0.628616i
\(621\) 4.51345 7.81753i 0.181119 0.313707i
\(622\) 0.698464 + 0.403259i 0.0280059 + 0.0161692i
\(623\) 34.5957i 1.38605i
\(624\) −24.8424 21.0545i −0.994491 0.842853i
\(625\) 7.21560 + 23.9361i 0.288624 + 0.957443i
\(626\) −3.19200 + 5.52871i −0.127578 + 0.220972i
\(627\) −9.42647 5.44238i −0.376457 0.217348i
\(628\) −17.8805 + 10.3233i −0.713509 + 0.411944i
\(629\) 3.79785 0.151430
\(630\) 2.13487 + 10.3144i 0.0850553 + 0.410937i
\(631\) −17.5840 30.4564i −0.700009 1.21245i −0.968463 0.249158i \(-0.919846\pi\)
0.268454 0.963293i \(-0.413487\pi\)
\(632\) 17.7381i 0.705585i
\(633\) −44.9907 + 25.9754i −1.78822 + 1.03243i
\(634\) 4.76764 8.25780i 0.189347 0.327959i
\(635\) 13.6294 + 15.3005i 0.540865 + 0.607184i
\(636\) −65.3098 −2.58970
\(637\) 15.0626 + 2.73247i 0.596804 + 0.108264i
\(638\) 3.22150i 0.127540i
\(639\) 11.1364 19.2887i 0.440547 0.763051i
\(640\) −13.6617 15.3369i −0.540028 0.606244i
\(641\) −2.76257 4.78491i −0.109115 0.188993i 0.806297 0.591511i \(-0.201468\pi\)
−0.915412 + 0.402518i \(0.868135\pi\)
\(642\) 7.63594i 0.301367i
\(643\) 27.8472 16.0776i 1.09819 0.634039i 0.162444 0.986718i \(-0.448062\pi\)
0.935744 + 0.352679i \(0.114729\pi\)
\(644\) −8.53289 14.7794i −0.336243 0.582390i
\(645\) 49.9276 + 16.5179i 1.96590 + 0.650391i
\(646\) −0.401610 0.695609i −0.0158011 0.0273684i
\(647\) 11.9376 + 6.89216i 0.469314 + 0.270959i 0.715953 0.698149i \(-0.245993\pi\)
−0.246638 + 0.969108i \(0.579326\pi\)
\(648\) −4.13609 2.38797i −0.162481 0.0938085i
\(649\) −8.22905 −0.323019
\(650\) −4.35445 + 4.07565i −0.170796 + 0.159860i
\(651\) −34.1316 −1.33772
\(652\) 6.84015 + 3.94916i 0.267881 + 0.154661i
\(653\) 7.36296 + 4.25101i 0.288135 + 0.166355i 0.637100 0.770781i \(-0.280134\pi\)
−0.348965 + 0.937136i \(0.613467\pi\)
\(654\) 3.78109 + 6.54905i 0.147852 + 0.256088i
\(655\) −21.2291 7.02335i −0.829488 0.274425i
\(656\) −4.66565 8.08115i −0.182163 0.315516i
\(657\) 20.0944 11.6015i 0.783959 0.452619i
\(658\) 7.62150i 0.297117i
\(659\) 2.02183 + 3.50192i 0.0787594 + 0.136415i 0.902715 0.430239i \(-0.141571\pi\)
−0.823956 + 0.566654i \(0.808237\pi\)
\(660\) 24.5674 + 27.5798i 0.956285 + 1.07354i
\(661\) −15.6364 + 27.0830i −0.608184 + 1.05341i 0.383356 + 0.923601i \(0.374768\pi\)
−0.991540 + 0.129805i \(0.958565\pi\)
\(662\) 0.983609i 0.0382290i
\(663\) 6.38142 + 17.8050i 0.247834 + 0.691489i
\(664\) 11.0945 0.430551
\(665\) −6.21373 6.97563i −0.240958 0.270503i
\(666\) −1.36872 + 2.37068i −0.0530366 + 0.0918622i
\(667\) −6.99351 + 4.03771i −0.270790 + 0.156341i
\(668\) 6.33991i 0.245298i
\(669\) −16.6498 28.8383i −0.643719 1.11495i
\(670\) 0.602029 + 2.90865i 0.0232584 + 0.112371i
\(671\) 24.3164 0.938723
\(672\) 28.8022 16.6290i 1.11107 0.641477i
\(673\) −27.7768 16.0370i −1.07072 0.618179i −0.142340 0.989818i \(-0.545463\pi\)
−0.928377 + 0.371639i \(0.878796\pi\)
\(674\) −0.314906 + 0.545433i −0.0121297 + 0.0210093i
\(675\) −10.0000 + 13.4590i −0.384900 + 0.518038i
\(676\) 23.0111 + 8.63282i 0.885041 + 0.332031i
\(677\) 14.2382i 0.547220i 0.961841 + 0.273610i \(0.0882177\pi\)
−0.961841 + 0.273610i \(0.911782\pi\)
\(678\) −5.65503 3.26493i −0.217180 0.125389i
\(679\) −8.82983 + 15.2937i −0.338858 + 0.586919i
\(680\) 1.13683 + 5.49249i 0.0435954 + 0.210627i
\(681\) 16.5891 0.635695
\(682\) 3.51629 2.03013i 0.134646 0.0777377i
\(683\) 22.3302 12.8923i 0.854440 0.493311i −0.00770647 0.999970i \(-0.502453\pi\)
0.862146 + 0.506659i \(0.169120\pi\)
\(684\) −10.0000 −0.382360
\(685\) 36.8929 7.63605i 1.40961 0.291759i
\(686\) 1.52782 2.64626i 0.0583325 0.101035i
\(687\) 62.9025 + 36.3168i 2.39988 + 1.38557i
\(688\) 29.3152i 1.11763i
\(689\) 43.5589 15.6118i 1.65946 0.594761i
\(690\) −1.68362 + 5.08898i −0.0640944 + 0.193734i
\(691\) 0.0218318 0.0378138i 0.000830522 0.00143851i −0.865610 0.500719i \(-0.833069\pi\)
0.866440 + 0.499281i \(0.166402\pi\)
\(692\) −14.3049 8.25894i −0.543791 0.313958i
\(693\) −40.0230 + 23.1073i −1.52035 + 0.877774i
\(694\) −4.18002 −0.158671
\(695\) 0.465407 + 2.24857i 0.0176539 + 0.0852931i
\(696\) −5.19707 9.00160i −0.196995 0.341205i
\(697\) 5.41982i 0.205290i
\(698\) 2.57091 1.48431i 0.0973103 0.0561821i
\(699\) −1.10945 + 1.92163i −0.0419634 + 0.0726827i
\(700\) 12.5832 + 29.0951i 0.475601 + 1.09969i
\(701\) −14.5454 −0.549373 −0.274687 0.961534i \(-0.588574\pi\)
−0.274687 + 0.961534i \(0.588574\pi\)
\(702\) −3.93595 0.714008i −0.148553 0.0269485i
\(703\) 2.42785i 0.0915679i
\(704\) 8.91238 15.4367i 0.335898 0.581792i
\(705\) 30.8753 27.5030i 1.16283 1.03582i
\(706\) −5.66565 9.81320i −0.213230 0.369325i
\(707\) 19.1501i 0.720214i
\(708\) −11.1735 + 6.45101i −0.419925 + 0.242444i
\(709\) 9.81638 + 17.0025i 0.368662 + 0.638541i 0.989357 0.145511i \(-0.0464827\pi\)
−0.620695 + 0.784052i \(0.713149\pi\)
\(710\) −1.21891 + 3.68431i −0.0457447 + 0.138270i
\(711\) −29.2560 50.6728i −1.09718 1.90038i
\(712\) −11.4996 6.63929i −0.430965 0.248818i
\(713\) −8.81438 5.08898i −0.330101 0.190584i
\(714\) −5.81998 −0.217807
\(715\) −22.9781 12.5219i −0.859334 0.468293i
\(716\) 34.0490 1.27247
\(717\) −9.32468 5.38361i −0.348237 0.201055i
\(718\) −6.41912 3.70608i −0.239559 0.138310i
\(719\) 23.7156 + 41.0766i 0.884443 + 1.53190i 0.846351 + 0.532625i \(0.178794\pi\)
0.0380914 + 0.999274i \(0.487872\pi\)
\(720\) 30.2425 + 10.0053i 1.12707 + 0.372876i
\(721\) 12.3553 + 21.3999i 0.460134 + 0.796976i
\(722\) 4.99906 2.88621i 0.186046 0.107414i
\(723\) 61.0872i 2.27186i
\(724\) −0.986548 1.70875i −0.0366648 0.0635052i
\(725\) 13.7676 5.95429i 0.511315 0.221137i
\(726\) −0.206926 + 0.358406i −0.00767973 + 0.0133017i
\(727\) 34.0951i 1.26452i 0.774757 + 0.632259i \(0.217872\pi\)
−0.774757 + 0.632259i \(0.782128\pi\)
\(728\) −10.0622 + 11.8725i −0.372931 + 0.440024i
\(729\) 42.8349 1.58648
\(730\) −3.01880 + 2.68908i −0.111731 + 0.0995272i
\(731\) −8.51345 + 14.7457i −0.314881 + 0.545391i
\(732\) 33.0170 19.0624i 1.22034 0.704565i
\(733\) 14.3920i 0.531580i 0.964031 + 0.265790i \(0.0856327\pi\)
−0.964031 + 0.265790i \(0.914367\pi\)
\(734\) 2.18270 + 3.78055i 0.0805651 + 0.139543i
\(735\) −25.0253 + 5.17972i −0.923074 + 0.191057i
\(736\) 9.91745 0.365562
\(737\) −11.2864 + 6.51621i −0.415740 + 0.240028i
\(738\) −3.38314 1.95326i −0.124535 0.0719004i
\(739\) −17.2240 + 29.8328i −0.633594 + 1.09742i 0.353217 + 0.935541i \(0.385088\pi\)
−0.986811 + 0.161876i \(0.948246\pi\)
\(740\) −2.58762 + 7.82145i −0.0951228 + 0.287522i
\(741\) 11.3822 4.07944i 0.418134 0.149862i
\(742\) 14.2382i 0.522702i
\(743\) 35.2589 + 20.3567i 1.29352 + 0.746816i 0.979277 0.202526i \(-0.0649150\pi\)
0.314246 + 0.949342i \(0.398248\pi\)
\(744\) 6.55021 11.3453i 0.240142 0.415939i
\(745\) −7.18418 34.7097i −0.263208 1.27167i
\(746\) 5.04903 0.184858
\(747\) −31.6939 + 18.2985i −1.15962 + 0.669507i
\(748\) −10.3564 + 5.97929i −0.378669 + 0.218625i
\(749\) −28.7542 −1.05066
\(750\) 4.19498 9.02975i 0.153179 0.329720i
\(751\) −16.2509 + 28.1474i −0.593003 + 1.02711i 0.400822 + 0.916156i \(0.368725\pi\)
−0.993825 + 0.110956i \(0.964609\pi\)
\(752\) −19.9613 11.5247i −0.727914 0.420261i
\(753\) 51.2167i 1.86644i
\(754\) 2.72997 + 2.31371i 0.0994196 + 0.0842603i
\(755\) −30.8786 10.2158i −1.12379 0.371790i
\(756\) −10.6304 + 18.4123i −0.386623 + 0.669650i
\(757\) 11.2864 + 6.51621i 0.410211 + 0.236836i 0.690881 0.722969i \(-0.257223\pi\)
−0.280669 + 0.959805i \(0.590556\pi\)
\(758\) 5.22286 3.01542i 0.189703 0.109525i
\(759\) −23.5185 −0.853668
\(760\) 3.51117 0.726739i 0.127364 0.0263616i
\(761\) 1.99493 + 3.45532i 0.0723161 + 0.125255i 0.899916 0.436063i \(-0.143628\pi\)
−0.827600 + 0.561318i \(0.810294\pi\)
\(762\) 8.16070i 0.295631i
\(763\) −24.6613 + 14.2382i −0.892800 + 0.515458i
\(764\) −24.1220 + 41.7805i −0.872703 + 1.51157i
\(765\) −12.3065 13.8155i −0.444943 0.499500i
\(766\) −0.476696 −0.0172237
\(767\) 5.91018 6.97348i 0.213404 0.251798i
\(768\) 21.3847i 0.771652i
\(769\) 3.33343 5.77367i 0.120207 0.208204i −0.799642 0.600476i \(-0.794978\pi\)
0.919849 + 0.392272i \(0.128311\pi\)
\(770\) 6.01268 5.35596i 0.216682 0.193015i
\(771\) −2.84181 4.92216i −0.102345 0.177267i
\(772\) 37.4720i 1.34865i
\(773\) −41.8593 + 24.1675i −1.50557 + 0.869244i −0.505595 + 0.862771i \(0.668727\pi\)
−0.999979 + 0.00647254i \(0.997940\pi\)
\(774\) −6.13636 10.6285i −0.220567