Properties

Label 65.2.o.a.32.1
Level $65$
Weight $2$
Character 65.32
Analytic conductor $0.519$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 65 = 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 65.o (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.519027613138\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(5\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} + \cdots)\)
Defining polynomial: \(x^{20} + 26 x^{18} + 279 x^{16} + 1604 x^{14} + 5353 x^{12} + 10466 x^{10} + 11441 x^{8} + 6176 x^{6} + 1263 x^{4} + 78 x^{2} + 1\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 32.1
Root \(2.08794i\) of defining polynomial
Character \(\chi\) \(=\) 65.32
Dual form 65.2.o.a.63.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.04397 + 1.80821i) q^{2} +(0.713171 + 2.66159i) q^{3} +(-1.17974 - 2.04338i) q^{4} +(-0.194361 - 2.22760i) q^{5} +(-5.55724 - 1.48906i) q^{6} +(2.52122 - 1.45563i) q^{7} +0.750585 q^{8} +(-3.97738 + 2.29634i) q^{9} +O(q^{10})\) \(q+(-1.04397 + 1.80821i) q^{2} +(0.713171 + 2.66159i) q^{3} +(-1.17974 - 2.04338i) q^{4} +(-0.194361 - 2.22760i) q^{5} +(-5.55724 - 1.48906i) q^{6} +(2.52122 - 1.45563i) q^{7} +0.750585 q^{8} +(-3.97738 + 2.29634i) q^{9} +(4.23088 + 1.97411i) q^{10} +(-0.0254491 + 0.00681908i) q^{11} +(4.59727 - 4.59727i) q^{12} +(0.530479 + 3.56631i) q^{13} +6.07853i q^{14} +(5.79036 - 2.10597i) q^{15} +(1.57590 - 2.72954i) q^{16} +(-2.76664 - 0.741318i) q^{17} -9.58924i q^{18} +(1.23878 - 4.62320i) q^{19} +(-4.32254 + 3.02515i) q^{20} +(5.67236 + 5.67236i) q^{21} +(0.0142378 - 0.0531363i) q^{22} +(-0.358680 + 0.0961080i) q^{23} +(0.535296 + 1.99775i) q^{24} +(-4.92445 + 0.865921i) q^{25} +(-7.00244 - 2.76390i) q^{26} +(-3.10321 - 3.10321i) q^{27} +(-5.94879 - 3.43454i) q^{28} +(3.62262 + 2.09152i) q^{29} +(-2.23692 + 12.6687i) q^{30} +(-0.835277 + 0.835277i) q^{31} +(4.04096 + 6.99915i) q^{32} +(-0.0362992 - 0.0628721i) q^{33} +(4.22874 - 4.22874i) q^{34} +(-3.73260 - 5.33337i) q^{35} +(9.38457 + 5.41819i) q^{36} +(-5.58739 - 3.22588i) q^{37} +(7.06645 + 7.06645i) q^{38} +(-9.11375 + 3.95531i) q^{39} +(-0.145885 - 1.67201i) q^{40} +(-2.02930 - 7.57344i) q^{41} +(-16.1786 + 4.33503i) q^{42} +(1.79436 - 6.69664i) q^{43} +(0.0439574 + 0.0439574i) q^{44} +(5.88839 + 8.41371i) q^{45} +(0.200668 - 0.748902i) q^{46} +0.833377i q^{47} +(8.38880 + 2.24777i) q^{48} +(0.737715 - 1.27776i) q^{49} +(3.57521 - 9.80842i) q^{50} -7.89234i q^{51} +(6.66149 - 5.29130i) q^{52} +(0.902268 - 0.902268i) q^{53} +(8.85092 - 2.37160i) q^{54} +(0.0201365 + 0.0553653i) q^{55} +(1.89239 - 1.09257i) q^{56} +13.1885 q^{57} +(-7.56381 + 4.36697i) q^{58} +(1.44647 + 0.387581i) q^{59} +(-11.1344 - 9.34737i) q^{60} +(5.35090 + 9.26802i) q^{61} +(-0.638351 - 2.38236i) q^{62} +(-6.68524 + 11.5792i) q^{63} -10.5710 q^{64} +(7.84123 - 1.87485i) q^{65} +0.151581 q^{66} +(-6.15845 + 10.6667i) q^{67} +(1.74913 + 6.52784i) q^{68} +(-0.511601 - 0.886118i) q^{69} +(13.5406 - 1.18143i) q^{70} +(-3.57441 - 0.957759i) q^{71} +(-2.98536 + 1.72360i) q^{72} -15.0844 q^{73} +(11.6661 - 6.73544i) q^{74} +(-5.81670 - 12.4893i) q^{75} +(-10.9084 + 2.92289i) q^{76} +(-0.0542370 + 0.0542370i) q^{77} +(2.36245 - 20.6088i) q^{78} -4.25039i q^{79} +(-6.38662 - 2.97996i) q^{80} +(-0.842658 + 1.45953i) q^{81} +(15.8129 + 4.23705i) q^{82} -1.31611i q^{83} +(4.89883 - 18.2827i) q^{84} +(-1.11364 + 6.30706i) q^{85} +(10.2357 + 10.2357i) q^{86} +(-2.98322 + 11.1335i) q^{87} +(-0.0191018 + 0.00511830i) q^{88} +(0.867319 + 3.23688i) q^{89} +(-21.3610 + 1.86378i) q^{90} +(6.52869 + 8.21929i) q^{91} +(0.619535 + 0.619535i) q^{92} +(-2.81886 - 1.62747i) q^{93} +(-1.50692 - 0.870020i) q^{94} +(-10.5394 - 1.86095i) q^{95} +(-15.7470 + 15.7470i) q^{96} +(0.202734 + 0.351145i) q^{97} +(1.54030 + 2.66788i) q^{98} +(0.0855620 - 0.0855620i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20q - 4q^{2} - 2q^{3} - 6q^{4} - 6q^{5} - 8q^{6} - 6q^{7} + 12q^{8} - 12q^{9} + O(q^{10}) \) \( 20q - 4q^{2} - 2q^{3} - 6q^{4} - 6q^{5} - 8q^{6} - 6q^{7} + 12q^{8} - 12q^{9} - 10q^{10} - 16q^{11} + 24q^{12} + 2q^{13} + 12q^{15} - 2q^{16} - 10q^{17} + 20q^{19} + 14q^{20} + 4q^{21} + 16q^{22} - 2q^{23} - 32q^{24} - 18q^{25} - 24q^{26} + 4q^{27} + 6q^{28} + 14q^{30} - 6q^{32} - 18q^{33} - 2q^{34} - 20q^{35} + 36q^{36} + 42q^{37} + 8q^{38} - 4q^{39} - 16q^{40} + 10q^{41} - 56q^{42} - 22q^{43} + 36q^{44} + 52q^{45} + 4q^{46} + 28q^{48} - 18q^{49} + 44q^{50} + 46q^{52} - 10q^{53} + 48q^{54} + 26q^{55} - 12q^{57} - 90q^{58} + 16q^{59} - 92q^{60} - 16q^{61} - 40q^{62} - 32q^{63} - 20q^{64} + 8q^{65} - 32q^{66} - 58q^{67} + 28q^{68} + 16q^{69} + 32q^{70} - 16q^{71} - 66q^{72} + 72q^{73} - 18q^{74} - 34q^{75} - 64q^{76} + 28q^{77} + 32q^{78} - 34q^{80} - 14q^{81} + 22q^{82} + 40q^{84} - 6q^{85} + 60q^{86} + 62q^{87} + 50q^{88} + 6q^{89} - 46q^{90} + 8q^{91} - 8q^{92} + 48q^{93} + 48q^{94} + 14q^{95} + 56q^{96} - 22q^{97} + 4q^{98} - 60q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(27\) \(41\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{12}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.04397 + 1.80821i −0.738198 + 1.27860i 0.215108 + 0.976590i \(0.430990\pi\)
−0.953306 + 0.302006i \(0.902344\pi\)
\(3\) 0.713171 + 2.66159i 0.411750 + 1.53667i 0.791258 + 0.611482i \(0.209426\pi\)
−0.379508 + 0.925188i \(0.623907\pi\)
\(4\) −1.17974 2.04338i −0.589872 1.02169i
\(5\) −0.194361 2.22760i −0.0869210 0.996215i
\(6\) −5.55724 1.48906i −2.26873 0.607905i
\(7\) 2.52122 1.45563i 0.952933 0.550176i 0.0589424 0.998261i \(-0.481227\pi\)
0.893991 + 0.448085i \(0.147894\pi\)
\(8\) 0.750585 0.265372
\(9\) −3.97738 + 2.29634i −1.32579 + 0.765447i
\(10\) 4.23088 + 1.97411i 1.33792 + 0.624267i
\(11\) −0.0254491 + 0.00681908i −0.00767321 + 0.00205603i −0.262654 0.964890i \(-0.584598\pi\)
0.254980 + 0.966946i \(0.417931\pi\)
\(12\) 4.59727 4.59727i 1.32712 1.32712i
\(13\) 0.530479 + 3.56631i 0.147129 + 0.989117i
\(14\) 6.07853i 1.62456i
\(15\) 5.79036 2.10597i 1.49506 0.543760i
\(16\) 1.57590 2.72954i 0.393975 0.682384i
\(17\) −2.76664 0.741318i −0.671008 0.179796i −0.0927992 0.995685i \(-0.529581\pi\)
−0.578209 + 0.815889i \(0.696248\pi\)
\(18\) 9.58924i 2.26020i
\(19\) 1.23878 4.62320i 0.284196 1.06063i −0.665229 0.746640i \(-0.731666\pi\)
0.949425 0.313995i \(-0.101667\pi\)
\(20\) −4.32254 + 3.02515i −0.966548 + 0.676445i
\(21\) 5.67236 + 5.67236i 1.23781 + 1.23781i
\(22\) 0.0142378 0.0531363i 0.00303551 0.0113287i
\(23\) −0.358680 + 0.0961080i −0.0747899 + 0.0200399i −0.296020 0.955182i \(-0.595660\pi\)
0.221230 + 0.975222i \(0.428993\pi\)
\(24\) 0.535296 + 1.99775i 0.109267 + 0.407789i
\(25\) −4.92445 + 0.865921i −0.984889 + 0.173184i
\(26\) −7.00244 2.76390i −1.37329 0.542046i
\(27\) −3.10321 3.10321i −0.597214 0.597214i
\(28\) −5.94879 3.43454i −1.12422 0.649067i
\(29\) 3.62262 + 2.09152i 0.672703 + 0.388386i 0.797100 0.603847i \(-0.206366\pi\)
−0.124397 + 0.992233i \(0.539700\pi\)
\(30\) −2.23692 + 12.6687i −0.408404 + 2.31299i
\(31\) −0.835277 + 0.835277i −0.150020 + 0.150020i −0.778127 0.628107i \(-0.783830\pi\)
0.628107 + 0.778127i \(0.283830\pi\)
\(32\) 4.04096 + 6.99915i 0.714348 + 1.23729i
\(33\) −0.0362992 0.0628721i −0.00631888 0.0109446i
\(34\) 4.22874 4.22874i 0.725223 0.725223i
\(35\) −3.73260 5.33337i −0.630924 0.901505i
\(36\) 9.38457 + 5.41819i 1.56410 + 0.903031i
\(37\) −5.58739 3.22588i −0.918561 0.530332i −0.0353856 0.999374i \(-0.511266\pi\)
−0.883176 + 0.469042i \(0.844599\pi\)
\(38\) 7.06645 + 7.06645i 1.14633 + 1.14633i
\(39\) −9.11375 + 3.95531i −1.45937 + 0.633357i
\(40\) −0.145885 1.67201i −0.0230664 0.264368i
\(41\) −2.02930 7.57344i −0.316923 1.18277i −0.922186 0.386747i \(-0.873599\pi\)
0.605263 0.796026i \(-0.293068\pi\)
\(42\) −16.1786 + 4.33503i −2.49641 + 0.668910i
\(43\) 1.79436 6.69664i 0.273637 1.02123i −0.683112 0.730314i \(-0.739374\pi\)
0.956749 0.290915i \(-0.0939595\pi\)
\(44\) 0.0439574 + 0.0439574i 0.00662683 + 0.00662683i
\(45\) 5.88839 + 8.41371i 0.877789 + 1.25424i
\(46\) 0.200668 0.748902i 0.0295868 0.110420i
\(47\) 0.833377i 0.121561i 0.998151 + 0.0607803i \(0.0193589\pi\)
−0.998151 + 0.0607803i \(0.980641\pi\)
\(48\) 8.38880 + 2.24777i 1.21082 + 0.324438i
\(49\) 0.737715 1.27776i 0.105388 0.182537i
\(50\) 3.57521 9.80842i 0.505611 1.38712i
\(51\) 7.89234i 1.10515i
\(52\) 6.66149 5.29130i 0.923782 0.733772i
\(53\) 0.902268 0.902268i 0.123936 0.123936i −0.642418 0.766354i \(-0.722069\pi\)
0.766354 + 0.642418i \(0.222069\pi\)
\(54\) 8.85092 2.37160i 1.20446 0.322733i
\(55\) 0.0201365 + 0.0553653i 0.00271521 + 0.00746545i
\(56\) 1.89239 1.09257i 0.252882 0.146001i
\(57\) 13.1885 1.74686
\(58\) −7.56381 + 4.36697i −0.993176 + 0.573411i
\(59\) 1.44647 + 0.387581i 0.188315 + 0.0504588i 0.351744 0.936096i \(-0.385589\pi\)
−0.163429 + 0.986555i \(0.552255\pi\)
\(60\) −11.1344 9.34737i −1.43745 1.20674i
\(61\) 5.35090 + 9.26802i 0.685112 + 1.18665i 0.973402 + 0.229105i \(0.0735801\pi\)
−0.288290 + 0.957543i \(0.593087\pi\)
\(62\) −0.638351 2.38236i −0.0810706 0.302560i
\(63\) −6.68524 + 11.5792i −0.842262 + 1.45884i
\(64\) −10.5710 −1.32137
\(65\) 7.84123 1.87485i 0.972585 0.232547i
\(66\) 0.151581 0.0186583
\(67\) −6.15845 + 10.6667i −0.752374 + 1.30315i 0.194295 + 0.980943i \(0.437758\pi\)
−0.946669 + 0.322207i \(0.895575\pi\)
\(68\) 1.74913 + 6.52784i 0.212113 + 0.791617i
\(69\) −0.511601 0.886118i −0.0615895 0.106676i
\(70\) 13.5406 1.18143i 1.61841 0.141208i
\(71\) −3.57441 0.957759i −0.424204 0.113665i 0.0404002 0.999184i \(-0.487137\pi\)
−0.464604 + 0.885518i \(0.653803\pi\)
\(72\) −2.98536 + 1.72360i −0.351828 + 0.203128i
\(73\) −15.0844 −1.76550 −0.882750 0.469844i \(-0.844310\pi\)
−0.882750 + 0.469844i \(0.844310\pi\)
\(74\) 11.6661 6.73544i 1.35616 0.782979i
\(75\) −5.81670 12.4893i −0.671655 1.44214i
\(76\) −10.9084 + 2.92289i −1.25128 + 0.335279i
\(77\) −0.0542370 + 0.0542370i −0.00618088 + 0.00618088i
\(78\) 2.36245 20.6088i 0.267494 2.33348i
\(79\) 4.25039i 0.478207i −0.970994 0.239103i \(-0.923147\pi\)
0.970994 0.239103i \(-0.0768534\pi\)
\(80\) −6.38662 2.97996i −0.714046 0.333170i
\(81\) −0.842658 + 1.45953i −0.0936286 + 0.162170i
\(82\) 15.8129 + 4.23705i 1.74624 + 0.467904i
\(83\) 1.31611i 0.144462i −0.997388 0.0722311i \(-0.976988\pi\)
0.997388 0.0722311i \(-0.0230119\pi\)
\(84\) 4.89883 18.2827i 0.534506 1.99480i
\(85\) −1.11364 + 6.30706i −0.120791 + 0.684096i
\(86\) 10.2357 + 10.2357i 1.10374 + 1.10374i
\(87\) −2.98322 + 11.1335i −0.319835 + 1.19364i
\(88\) −0.0191018 + 0.00511830i −0.00203625 + 0.000545613i
\(89\) 0.867319 + 3.23688i 0.0919357 + 0.343109i 0.996537 0.0831499i \(-0.0264980\pi\)
−0.904601 + 0.426259i \(0.859831\pi\)
\(90\) −21.3610 + 1.86378i −2.25165 + 0.196459i
\(91\) 6.52869 + 8.21929i 0.684393 + 0.861616i
\(92\) 0.619535 + 0.619535i 0.0645910 + 0.0645910i
\(93\) −2.81886 1.62747i −0.292302 0.168761i
\(94\) −1.50692 0.870020i −0.155427 0.0897357i
\(95\) −10.5394 1.86095i −1.08132 0.190929i
\(96\) −15.7470 + 15.7470i −1.60717 + 1.60717i
\(97\) 0.202734 + 0.351145i 0.0205845 + 0.0356534i 0.876134 0.482067i \(-0.160114\pi\)
−0.855550 + 0.517721i \(0.826781\pi\)
\(98\) 1.54030 + 2.66788i 0.155594 + 0.269497i
\(99\) 0.0855620 0.0855620i 0.00859930 0.00859930i
\(100\) 7.57898 + 9.04093i 0.757898 + 0.904093i
\(101\) 2.46663 + 1.42411i 0.245439 + 0.141704i 0.617674 0.786434i \(-0.288075\pi\)
−0.372235 + 0.928139i \(0.621408\pi\)
\(102\) 14.2710 + 8.23936i 1.41304 + 0.815819i
\(103\) 5.63497 + 5.63497i 0.555230 + 0.555230i 0.927946 0.372716i \(-0.121573\pi\)
−0.372716 + 0.927946i \(0.621573\pi\)
\(104\) 0.398170 + 2.67682i 0.0390438 + 0.262484i
\(105\) 11.5333 13.7383i 1.12553 1.34072i
\(106\) 0.689548 + 2.57343i 0.0669748 + 0.249953i
\(107\) 12.6223 3.38214i 1.22025 0.326964i 0.409472 0.912323i \(-0.365713\pi\)
0.810774 + 0.585359i \(0.199046\pi\)
\(108\) −2.68004 + 10.0020i −0.257887 + 0.962446i
\(109\) 7.66343 + 7.66343i 0.734024 + 0.734024i 0.971414 0.237391i \(-0.0762921\pi\)
−0.237391 + 0.971414i \(0.576292\pi\)
\(110\) −0.121134 0.0213886i −0.0115497 0.00203932i
\(111\) 4.60121 17.1720i 0.436728 1.62989i
\(112\) 9.17570i 0.867022i
\(113\) −8.39360 2.24906i −0.789604 0.211574i −0.158589 0.987345i \(-0.550694\pi\)
−0.631014 + 0.775771i \(0.717361\pi\)
\(114\) −13.7684 + 23.8476i −1.28953 + 2.23353i
\(115\) 0.283804 + 0.780318i 0.0264649 + 0.0727650i
\(116\) 9.86983i 0.916390i
\(117\) −10.2994 12.9664i −0.952179 1.19875i
\(118\) −2.21090 + 2.21090i −0.203530 + 0.203530i
\(119\) −8.05440 + 2.15817i −0.738345 + 0.197839i
\(120\) 4.34616 1.58071i 0.396748 0.144299i
\(121\) −9.52568 + 5.49965i −0.865971 + 0.499968i
\(122\) −22.3447 −2.02299
\(123\) 18.7102 10.8023i 1.68704 0.974012i
\(124\) 2.69220 + 0.721372i 0.241766 + 0.0647811i
\(125\) 2.88605 + 10.8014i 0.258136 + 0.966109i
\(126\) −13.9584 24.1766i −1.24351 2.15382i
\(127\) −3.88938 14.5154i −0.345126 1.28803i −0.892464 0.451118i \(-0.851025\pi\)
0.547338 0.836912i \(-0.315641\pi\)
\(128\) 2.95384 5.11621i 0.261085 0.452213i
\(129\) 19.1034 1.68196
\(130\) −4.79588 + 16.1359i −0.420627 + 1.41521i
\(131\) 9.04438 0.790211 0.395105 0.918636i \(-0.370708\pi\)
0.395105 + 0.918636i \(0.370708\pi\)
\(132\) −0.0856475 + 0.148346i −0.00745466 + 0.0129118i
\(133\) −3.60642 13.4593i −0.312716 1.16707i
\(134\) −12.8585 22.2715i −1.11080 1.92397i
\(135\) −6.30959 + 7.51588i −0.543043 + 0.646864i
\(136\) −2.07660 0.556423i −0.178067 0.0477128i
\(137\) −12.6164 + 7.28411i −1.07790 + 0.622323i −0.930328 0.366729i \(-0.880478\pi\)
−0.147568 + 0.989052i \(0.547144\pi\)
\(138\) 2.13638 0.181861
\(139\) 5.98819 3.45728i 0.507911 0.293243i −0.224063 0.974575i \(-0.571932\pi\)
0.731975 + 0.681332i \(0.238599\pi\)
\(140\) −6.49458 + 13.9191i −0.548892 + 1.17638i
\(141\) −2.21811 + 0.594341i −0.186799 + 0.0500525i
\(142\) 5.46340 5.46340i 0.458478 0.458478i
\(143\) −0.0378192 0.0871423i −0.00316260 0.00728720i
\(144\) 14.4752i 1.20627i
\(145\) 3.95498 8.47627i 0.328443 0.703916i
\(146\) 15.7477 27.2758i 1.30329 2.25736i
\(147\) 3.92699 + 1.05223i 0.323893 + 0.0867868i
\(148\) 15.2228i 1.25131i
\(149\) −1.51600 + 5.65780i −0.124196 + 0.463505i −0.999810 0.0195066i \(-0.993790\pi\)
0.875614 + 0.483012i \(0.160457\pi\)
\(150\) 28.6557 + 2.52066i 2.33973 + 0.205811i
\(151\) −2.92436 2.92436i −0.237981 0.237981i 0.578033 0.816014i \(-0.303821\pi\)
−0.816014 + 0.578033i \(0.803821\pi\)
\(152\) 0.929812 3.47011i 0.0754177 0.281463i
\(153\) 12.7063 3.40464i 1.02724 0.275249i
\(154\) −0.0414500 0.154693i −0.00334013 0.0124655i
\(155\) 2.02301 + 1.69832i 0.162492 + 0.136412i
\(156\) 18.8341 + 13.9566i 1.50793 + 1.11742i
\(157\) −4.59859 4.59859i −0.367007 0.367007i 0.499377 0.866385i \(-0.333562\pi\)
−0.866385 + 0.499377i \(0.833562\pi\)
\(158\) 7.68559 + 4.43728i 0.611433 + 0.353011i
\(159\) 3.04494 + 1.75800i 0.241480 + 0.139418i
\(160\) 14.8059 10.3620i 1.17051 0.819191i
\(161\) −0.764415 + 0.764415i −0.0602443 + 0.0602443i
\(162\) −1.75942 3.04740i −0.138233 0.239426i
\(163\) −2.01385 3.48809i −0.157737 0.273208i 0.776315 0.630345i \(-0.217086\pi\)
−0.934052 + 0.357137i \(0.883753\pi\)
\(164\) −13.0813 + 13.0813i −1.02148 + 1.02148i
\(165\) −0.132999 + 0.0930802i −0.0103540 + 0.00724628i
\(166\) 2.37981 + 1.37398i 0.184709 + 0.106642i
\(167\) 20.6458 + 11.9198i 1.59762 + 0.922385i 0.991945 + 0.126670i \(0.0404289\pi\)
0.605672 + 0.795714i \(0.292904\pi\)
\(168\) 4.25759 + 4.25759i 0.328480 + 0.328480i
\(169\) −12.4372 + 3.78371i −0.956706 + 0.291055i
\(170\) −10.2419 8.59806i −0.785515 0.659441i
\(171\) 5.68933 + 21.2329i 0.435074 + 1.62372i
\(172\) −15.8006 + 4.23377i −1.20479 + 0.322822i
\(173\) 0.210271 0.784743i 0.0159866 0.0596629i −0.957472 0.288527i \(-0.906834\pi\)
0.973458 + 0.228864i \(0.0735012\pi\)
\(174\) −17.0174 17.0174i −1.29008 1.29008i
\(175\) −11.1552 + 9.35135i −0.843252 + 0.706896i
\(176\) −0.0214923 + 0.0802105i −0.00162005 + 0.00604610i
\(177\) 4.12633i 0.310154i
\(178\) −6.75841 1.81091i −0.506564 0.135733i
\(179\) 3.28130 5.68337i 0.245256 0.424795i −0.716948 0.697127i \(-0.754461\pi\)
0.962203 + 0.272332i \(0.0877948\pi\)
\(180\) 10.2456 21.9582i 0.763660 1.63667i
\(181\) 1.56627i 0.116420i 0.998304 + 0.0582099i \(0.0185393\pi\)
−0.998304 + 0.0582099i \(0.981461\pi\)
\(182\) −21.6779 + 3.22453i −1.60688 + 0.239018i
\(183\) −20.8516 + 20.8516i −1.54139 + 1.54139i
\(184\) −0.269220 + 0.0721373i −0.0198472 + 0.00531803i
\(185\) −6.10002 + 13.0735i −0.448482 + 0.961182i
\(186\) 5.88561 3.39806i 0.431554 0.249158i
\(187\) 0.0754637 0.00551845
\(188\) 1.70290 0.983171i 0.124197 0.0717051i
\(189\) −12.3410 3.30677i −0.897678 0.240532i
\(190\) 14.3678 17.1147i 1.04235 1.24163i
\(191\) −2.31024 4.00145i −0.167163 0.289535i 0.770258 0.637732i \(-0.220127\pi\)
−0.937421 + 0.348197i \(0.886794\pi\)
\(192\) −7.53891 28.1356i −0.544074 2.03051i
\(193\) 8.31597 14.4037i 0.598597 1.03680i −0.394432 0.918925i \(-0.629058\pi\)
0.993028 0.117875i \(-0.0376082\pi\)
\(194\) −0.846590 −0.0607816
\(195\) 10.5822 + 19.5331i 0.757809 + 1.39879i
\(196\) −3.48126 −0.248661
\(197\) 12.8646 22.2821i 0.916563 1.58753i 0.111966 0.993712i \(-0.464285\pi\)
0.804597 0.593821i \(-0.202381\pi\)
\(198\) 0.0653898 + 0.244038i 0.00464705 + 0.0173430i
\(199\) 13.8914 + 24.0606i 0.984736 + 1.70561i 0.643104 + 0.765779i \(0.277646\pi\)
0.341632 + 0.939834i \(0.389020\pi\)
\(200\) −3.69622 + 0.649947i −0.261362 + 0.0459582i
\(201\) −32.7825 8.78406i −2.31230 0.619580i
\(202\) −5.15018 + 2.97346i −0.362365 + 0.209212i
\(203\) 12.1779 0.854722
\(204\) −16.1270 + 9.31094i −1.12912 + 0.651896i
\(205\) −16.4762 + 5.99246i −1.15075 + 0.418531i
\(206\) −16.0719 + 4.30646i −1.11978 + 0.300045i
\(207\) 1.20591 1.20591i 0.0838165 0.0838165i
\(208\) 10.5704 + 4.17218i 0.732923 + 0.289289i
\(209\) 0.126104i 0.00872278i
\(210\) 12.8012 + 35.1969i 0.883369 + 2.42882i
\(211\) −7.38830 + 12.7969i −0.508632 + 0.880976i 0.491318 + 0.870980i \(0.336515\pi\)
−0.999950 + 0.00999576i \(0.996818\pi\)
\(212\) −2.90812 0.779228i −0.199730 0.0535176i
\(213\) 10.1967i 0.698663i
\(214\) −7.06170 + 26.3546i −0.482728 + 1.80157i
\(215\) −15.2662 2.69556i −1.04115 0.183835i
\(216\) −2.32923 2.32923i −0.158484 0.158484i
\(217\) −0.890067 + 3.32178i −0.0604217 + 0.225497i
\(218\) −21.8575 + 5.85669i −1.48037 + 0.396665i
\(219\) −10.7578 40.1486i −0.726944 2.71299i
\(220\) 0.0893761 0.106463i 0.00602573 0.00717776i
\(221\) 1.17613 10.2599i 0.0791150 0.690159i
\(222\) 26.2469 + 26.2469i 1.76158 + 1.76158i
\(223\) 12.1451 + 7.01198i 0.813296 + 0.469557i 0.848099 0.529838i \(-0.177747\pi\)
−0.0348032 + 0.999394i \(0.511080\pi\)
\(224\) 20.3764 + 11.7643i 1.36145 + 0.786035i
\(225\) 17.5979 14.7523i 1.17320 0.983487i
\(226\) 12.8294 12.8294i 0.853401 0.853401i
\(227\) 7.99560 + 13.8488i 0.530687 + 0.919176i 0.999359 + 0.0358042i \(0.0113993\pi\)
−0.468672 + 0.883372i \(0.655267\pi\)
\(228\) −15.5591 26.9491i −1.03043 1.78475i
\(229\) −2.31063 + 2.31063i −0.152691 + 0.152691i −0.779319 0.626628i \(-0.784435\pi\)
0.626628 + 0.779319i \(0.284435\pi\)
\(230\) −1.70726 0.301451i −0.112573 0.0198771i
\(231\) −0.183037 0.105676i −0.0120429 0.00695300i
\(232\) 2.71909 + 1.56986i 0.178517 + 0.103067i
\(233\) 17.8141 + 17.8141i 1.16704 + 1.16704i 0.982899 + 0.184143i \(0.0589510\pi\)
0.184143 + 0.982899i \(0.441049\pi\)
\(234\) 34.1982 5.08689i 2.23561 0.332541i
\(235\) 1.85644 0.161976i 0.121100 0.0105662i
\(236\) −0.914493 3.41293i −0.0595284 0.222163i
\(237\) 11.3128 3.03126i 0.734846 0.196901i
\(238\) 4.50612 16.8171i 0.292089 1.09009i
\(239\) −4.31403 4.31403i −0.279052 0.279052i 0.553679 0.832730i \(-0.313224\pi\)
−0.832730 + 0.553679i \(0.813224\pi\)
\(240\) 3.37669 19.1238i 0.217964 1.23444i
\(241\) 2.34253 8.74246i 0.150896 0.563151i −0.848526 0.529154i \(-0.822509\pi\)
0.999422 0.0339976i \(-0.0108239\pi\)
\(242\) 22.9659i 1.47630i
\(243\) −17.2028 4.60948i −1.10356 0.295699i
\(244\) 12.6254 21.8678i 0.808256 1.39994i
\(245\) −2.98973 1.39499i −0.191007 0.0891227i
\(246\) 45.1091i 2.87605i
\(247\) 17.1449 + 1.96537i 1.09091 + 0.125054i
\(248\) −0.626947 + 0.626947i −0.0398112 + 0.0398112i
\(249\) 3.50296 0.938615i 0.221991 0.0594823i
\(250\) −22.5442 6.05777i −1.42582 0.383127i
\(251\) 0.503450 0.290667i 0.0317775 0.0183467i −0.484027 0.875053i \(-0.660826\pi\)
0.515805 + 0.856706i \(0.327493\pi\)
\(252\) 31.5475 1.98730
\(253\) 0.00847273 0.00489173i 0.000532676 0.000307541i
\(254\) 30.3072 + 8.12078i 1.90164 + 0.509543i
\(255\) −17.5810 + 1.53397i −1.10097 + 0.0960607i
\(256\) −4.40353 7.62714i −0.275221 0.476696i
\(257\) 4.50394 + 16.8089i 0.280948 + 1.04851i 0.951750 + 0.306876i \(0.0992836\pi\)
−0.670801 + 0.741637i \(0.734050\pi\)
\(258\) −19.9434 + 34.5429i −1.24162 + 2.15055i
\(259\) −18.7828 −1.16710
\(260\) −13.0817 13.8107i −0.811291 0.856505i
\(261\) −19.2114 −1.18915
\(262\) −9.44205 + 16.3541i −0.583332 + 1.01036i
\(263\) −7.13948 26.6449i −0.440239 1.64299i −0.728209 0.685355i \(-0.759647\pi\)
0.287970 0.957639i \(-0.407020\pi\)
\(264\) −0.0272457 0.0471909i −0.00167685 0.00290440i
\(265\) −2.18526 1.83453i −0.134240 0.112694i
\(266\) 28.1023 + 7.52998i 1.72306 + 0.461692i
\(267\) −7.99671 + 4.61690i −0.489390 + 0.282550i
\(268\) 29.0615 1.77522
\(269\) 15.9495 9.20844i 0.972457 0.561448i 0.0724726 0.997370i \(-0.476911\pi\)
0.899984 + 0.435922i \(0.143578\pi\)
\(270\) −7.00326 19.2554i −0.426205 1.17185i
\(271\) 25.0269 6.70594i 1.52028 0.407357i 0.600444 0.799667i \(-0.294990\pi\)
0.919833 + 0.392310i \(0.128324\pi\)
\(272\) −6.38339 + 6.38339i −0.387050 + 0.387050i
\(273\) −17.2203 + 23.2385i −1.04222 + 1.40646i
\(274\) 30.4175i 1.83759i
\(275\) 0.119418 0.0556171i 0.00720119 0.00335384i
\(276\) −1.20711 + 2.09078i −0.0726598 + 0.125850i
\(277\) −22.6257 6.06254i −1.35945 0.364263i −0.495833 0.868418i \(-0.665137\pi\)
−0.863613 + 0.504155i \(0.831804\pi\)
\(278\) 14.4372i 0.865884i
\(279\) 1.40413 5.24030i 0.0840632 0.313728i
\(280\) −2.80163 4.00315i −0.167430 0.239234i
\(281\) −9.93011 9.93011i −0.592381 0.592381i 0.345893 0.938274i \(-0.387576\pi\)
−0.938274 + 0.345893i \(0.887576\pi\)
\(282\) 1.24095 4.63128i 0.0738973 0.275789i
\(283\) 3.97170 1.06421i 0.236093 0.0632610i −0.138832 0.990316i \(-0.544335\pi\)
0.374926 + 0.927055i \(0.377668\pi\)
\(284\) 2.25982 + 8.43376i 0.134096 + 0.500452i
\(285\) −2.56334 29.3788i −0.151839 1.74025i
\(286\) 0.197053 + 0.0225888i 0.0116520 + 0.00133571i
\(287\) −16.1404 16.1404i −0.952740 0.952740i
\(288\) −32.1449 18.5589i −1.89416 1.09359i
\(289\) −7.61770 4.39808i −0.448100 0.258711i
\(290\) 11.1980 + 16.0004i 0.657568 + 0.939576i
\(291\) −0.790020 + 0.790020i −0.0463118 + 0.0463118i
\(292\) 17.7958 + 30.8232i 1.04142 + 1.80379i
\(293\) 10.9265 + 18.9253i 0.638336 + 1.10563i 0.985798 + 0.167936i \(0.0537101\pi\)
−0.347462 + 0.937694i \(0.612957\pi\)
\(294\) −6.00232 + 6.00232i −0.350062 + 0.350062i
\(295\) 0.582240 3.29750i 0.0338993 0.191988i
\(296\) −4.19381 2.42130i −0.243761 0.140735i
\(297\) 0.100135 + 0.0578131i 0.00581044 + 0.00335466i
\(298\) −8.64782 8.64782i −0.500955 0.500955i
\(299\) −0.533024 1.22818i −0.0308256 0.0710276i
\(300\) −18.6581 + 26.6199i −1.07723 + 1.53690i
\(301\) −5.22385 19.4957i −0.301098 1.12371i
\(302\) 8.34078 2.23491i 0.479958 0.128604i
\(303\) −2.03127 + 7.58081i −0.116693 + 0.435506i
\(304\) −10.6670 10.6670i −0.611794 0.611794i
\(305\) 19.6055 13.7210i 1.12261 0.785664i
\(306\) −7.10868 + 26.5299i −0.406376 + 1.51662i
\(307\) 6.98281i 0.398530i −0.979946 0.199265i \(-0.936145\pi\)
0.979946 0.199265i \(-0.0638555\pi\)
\(308\) 0.174812 + 0.0468408i 0.00996085 + 0.00266900i
\(309\) −10.9793 + 19.0167i −0.624590 + 1.08182i
\(310\) −5.18288 + 1.88503i −0.294368 + 0.107063i
\(311\) 21.2824i 1.20681i 0.797434 + 0.603406i \(0.206190\pi\)
−0.797434 + 0.603406i \(0.793810\pi\)
\(312\) −6.84065 + 2.96880i −0.387275 + 0.168075i
\(313\) 17.6647 17.6647i 0.998470 0.998470i −0.00152850 0.999999i \(-0.500487\pi\)
0.999999 + 0.00152850i \(0.000486538\pi\)
\(314\) 13.1160 3.51442i 0.740177 0.198330i
\(315\) 27.0932 + 12.6415i 1.52653 + 0.712270i
\(316\) −8.68515 + 5.01437i −0.488578 + 0.282080i
\(317\) −15.6715 −0.880198 −0.440099 0.897949i \(-0.645057\pi\)
−0.440099 + 0.897949i \(0.645057\pi\)
\(318\) −6.35765 + 3.67059i −0.356519 + 0.205836i
\(319\) −0.106455 0.0285245i −0.00596032 0.00159706i
\(320\) 2.05459 + 23.5480i 0.114855 + 1.31637i
\(321\) 18.0038 + 31.1834i 1.00487 + 1.74049i
\(322\) −0.584195 2.18025i −0.0325559 0.121500i
\(323\) −6.85452 + 11.8724i −0.381396 + 0.660597i
\(324\) 3.97648 0.220915
\(325\) −5.70046 17.1028i −0.316205 0.948691i
\(326\) 8.40958 0.465763
\(327\) −14.9316 + 25.8623i −0.825719 + 1.43019i
\(328\) −1.52316 5.68451i −0.0841025 0.313875i
\(329\) 1.21309 + 2.10113i 0.0668797 + 0.115839i
\(330\) −0.0294615 0.337663i −0.00162180 0.0185877i
\(331\) 3.25207 + 0.871389i 0.178750 + 0.0478959i 0.347084 0.937834i \(-0.387172\pi\)
−0.168334 + 0.985730i \(0.553839\pi\)
\(332\) −2.68932 + 1.55268i −0.147595 + 0.0852142i
\(333\) 29.6309 1.62376
\(334\) −43.1071 + 24.8879i −2.35871 + 1.36180i
\(335\) 24.9583 + 11.6454i 1.36362 + 0.636255i
\(336\) 24.4220 6.54384i 1.33233 0.356996i
\(337\) −7.20813 + 7.20813i −0.392652 + 0.392652i −0.875631 0.482980i \(-0.839554\pi\)
0.482980 + 0.875631i \(0.339554\pi\)
\(338\) 6.14230 26.4391i 0.334097 1.43810i
\(339\) 23.9443i 1.30048i
\(340\) 14.2015 5.16513i 0.770184 0.280119i
\(341\) 0.0155613 0.0269529i 0.000842690 0.00145958i
\(342\) −44.3330 11.8790i −2.39725 0.642342i
\(343\) 16.0835i 0.868425i
\(344\) 1.34682 5.02640i 0.0726157 0.271005i
\(345\) −1.87449 + 1.31187i −0.100919 + 0.0706288i
\(346\) 1.19946 + 1.19946i 0.0644835 + 0.0644835i
\(347\) 5.07101 18.9253i 0.272226 1.01596i −0.685451 0.728119i \(-0.740395\pi\)
0.957677 0.287844i \(-0.0929384\pi\)
\(348\) 26.2694 7.03888i 1.40819 0.377323i
\(349\) 2.15644 + 8.04794i 0.115432 + 0.430796i 0.999319 0.0369035i \(-0.0117494\pi\)
−0.883887 + 0.467700i \(0.845083\pi\)
\(350\) −5.26352 29.9334i −0.281347 1.60001i
\(351\) 9.42084 12.7132i 0.502847 0.678582i
\(352\) −0.150567 0.150567i −0.00802524 0.00802524i
\(353\) −4.47609 2.58427i −0.238238 0.137547i 0.376129 0.926567i \(-0.377255\pi\)
−0.614367 + 0.789021i \(0.710588\pi\)
\(354\) −7.46127 4.30777i −0.396562 0.228955i
\(355\) −1.43878 + 8.14852i −0.0763627 + 0.432478i
\(356\) 5.59095 5.59095i 0.296320 0.296320i
\(357\) −11.4883 19.8984i −0.608027 1.05313i
\(358\) 6.85114 + 11.8665i 0.362094 + 0.627166i
\(359\) −11.2145 + 11.2145i −0.591877 + 0.591877i −0.938138 0.346261i \(-0.887451\pi\)
0.346261 + 0.938138i \(0.387451\pi\)
\(360\) 4.41974 + 6.31521i 0.232941 + 0.332841i
\(361\) −3.38491 1.95428i −0.178153 0.102857i
\(362\) −2.83214 1.63513i −0.148854 0.0859408i
\(363\) −21.4313 21.4313i −1.12485 1.12485i
\(364\) 9.09293 23.0372i 0.476599 1.20748i
\(365\) 2.93183 + 33.6022i 0.153459 + 1.75882i
\(366\) −15.9356 59.4724i −0.832966 3.10867i
\(367\) −11.7486 + 3.14803i −0.613272 + 0.164326i −0.552067 0.833799i \(-0.686161\pi\)
−0.0612047 + 0.998125i \(0.519494\pi\)
\(368\) −0.302913 + 1.13049i −0.0157904 + 0.0589307i
\(369\) 25.4625 + 25.4625i 1.32552 + 1.32552i
\(370\) −17.2713 24.6784i −0.897895 1.28297i
\(371\) 0.961452 3.58819i 0.0499161 0.186289i
\(372\) 7.67999i 0.398189i
\(373\) −0.331070 0.0887099i −0.0171421 0.00459322i 0.250238 0.968184i \(-0.419491\pi\)
−0.267380 + 0.963591i \(0.586158\pi\)
\(374\) −0.0787817 + 0.136454i −0.00407371 + 0.00705587i
\(375\) −26.6907 + 15.3848i −1.37830 + 0.794465i
\(376\) 0.625521i 0.0322588i
\(377\) −5.53729 + 14.0289i −0.285185 + 0.722525i
\(378\) 18.8630 18.8630i 0.970207 0.970207i
\(379\) 14.9855 4.01535i 0.769754 0.206255i 0.147491 0.989063i \(-0.452880\pi\)
0.622263 + 0.782809i \(0.286214\pi\)
\(380\) 8.63121 + 23.7315i 0.442772 + 1.21740i
\(381\) 35.8602 20.7039i 1.83717 1.06069i
\(382\) 9.64728 0.493598
\(383\) −19.4048 + 11.2034i −0.991538 + 0.572465i −0.905734 0.423847i \(-0.860679\pi\)
−0.0858043 + 0.996312i \(0.527346\pi\)
\(384\) 15.7238 + 4.21319i 0.802404 + 0.215004i
\(385\) 0.131360 + 0.110277i 0.00669473 + 0.00562023i
\(386\) 17.3632 + 30.0740i 0.883766 + 1.53073i
\(387\) 8.24093 + 30.7556i 0.418910 + 1.56339i
\(388\) 0.478347 0.828521i 0.0242844 0.0420618i
\(389\) 7.41149 0.375777 0.187889 0.982190i \(-0.439836\pi\)
0.187889 + 0.982190i \(0.439836\pi\)
\(390\) −46.3674 1.25705i −2.34790 0.0636530i
\(391\) 1.06358 0.0537878
\(392\) 0.553718 0.959068i 0.0279670 0.0484402i
\(393\) 6.45019 + 24.0724i 0.325369 + 1.21429i
\(394\) 26.8604 + 46.5236i 1.35321 + 2.34383i
\(395\) −9.46820 + 0.826112i −0.476397 + 0.0415662i
\(396\) −0.275776 0.0738941i −0.0138583 0.00371332i
\(397\) 15.1936 8.77205i 0.762547 0.440257i −0.0676626 0.997708i \(-0.521554\pi\)
0.830209 + 0.557452i \(0.188221\pi\)
\(398\) −58.0088 −2.90772
\(399\) 33.2512 19.1976i 1.66464 0.961083i
\(400\) −5.39687 + 14.8061i −0.269843 + 0.740303i
\(401\) −26.5449 + 7.11268i −1.32559 + 0.355190i −0.851068 0.525055i \(-0.824045\pi\)
−0.474520 + 0.880245i \(0.657378\pi\)
\(402\) 50.1074 50.1074i 2.49913 2.49913i
\(403\) −3.42196 2.53576i −0.170460 0.126315i
\(404\) 6.72034i 0.334350i
\(405\) 3.41503 + 1.59343i 0.169694 + 0.0791783i
\(406\) −12.7134 + 22.0202i −0.630954 + 1.09284i
\(407\) 0.164192 + 0.0439951i 0.00813869 + 0.00218076i
\(408\) 5.92388i 0.293276i
\(409\) 4.33151 16.1654i 0.214179 0.799329i −0.772274 0.635289i \(-0.780881\pi\)
0.986454 0.164039i \(-0.0524524\pi\)
\(410\) 6.36505 36.0484i 0.314348 1.78030i
\(411\) −28.3850 28.3850i −1.40013 1.40013i
\(412\) 4.86654 18.1622i 0.239757 0.894786i
\(413\) 4.21106 1.12835i 0.207213 0.0555225i
\(414\) 0.921603 + 3.43947i 0.0452943 + 0.169041i
\(415\) −2.93178 + 0.255802i −0.143916 + 0.0125568i
\(416\) −22.8175 + 18.1243i −1.11872 + 0.888615i
\(417\) 13.4725 + 13.4725i 0.659750 + 0.659750i
\(418\) −0.228022 0.131649i −0.0111529 0.00643914i
\(419\) −24.9349 14.3962i −1.21815 0.703299i −0.253627 0.967302i \(-0.581624\pi\)
−0.964522 + 0.264003i \(0.914957\pi\)
\(420\) −41.6787 7.35921i −2.03371 0.359093i
\(421\) 8.48901 8.48901i 0.413729 0.413729i −0.469306 0.883035i \(-0.655496\pi\)
0.883035 + 0.469306i \(0.155496\pi\)
\(422\) −15.4263 26.7192i −0.750941 1.30067i
\(423\) −1.91372 3.31466i −0.0930482 0.161164i
\(424\) 0.677229 0.677229i 0.0328892 0.0328892i
\(425\) 14.2661 + 1.25489i 0.692007 + 0.0608713i
\(426\) 18.4377 + 10.6450i 0.893308 + 0.515752i
\(427\) 26.9816 + 15.5778i 1.30573 + 0.753865i
\(428\) −21.8021 21.8021i −1.05384 1.05384i
\(429\) 0.204966 0.162807i 0.00989583 0.00786038i
\(430\) 20.8116 24.7904i 1.00362 1.19550i
\(431\) 3.04457 + 11.3625i 0.146652 + 0.547311i 0.999676 + 0.0254407i \(0.00809891\pi\)
−0.853025 + 0.521870i \(0.825234\pi\)
\(432\) −13.3607 + 3.57999i −0.642816 + 0.172242i
\(433\) 5.01355 18.7108i 0.240936 0.899184i −0.734447 0.678666i \(-0.762558\pi\)
0.975383 0.220518i \(-0.0707749\pi\)
\(434\) −5.07726 5.07726i −0.243716 0.243716i
\(435\) 25.3810 + 4.48151i 1.21692 + 0.214872i
\(436\) 6.61838 24.7001i 0.316963 1.18292i
\(437\) 1.77731i 0.0850201i
\(438\) 83.8278 + 22.4616i 4.00545 + 1.07326i
\(439\) 11.9244 20.6537i 0.569121 0.985747i −0.427532 0.904000i \(-0.640617\pi\)
0.996653 0.0817464i \(-0.0260498\pi\)
\(440\) 0.0151142 + 0.0415564i 0.000720541 + 0.00198112i
\(441\) 6.77618i 0.322675i
\(442\) 17.3243 + 12.8378i 0.824032 + 0.610630i
\(443\) 11.8603 11.8603i 0.563501 0.563501i −0.366799 0.930300i \(-0.619546\pi\)
0.930300 + 0.366799i \(0.119546\pi\)
\(444\) −40.5170 + 10.8565i −1.92285 + 0.515227i
\(445\) 7.04192 2.56117i 0.333819 0.121411i
\(446\) −25.3582 + 14.6406i −1.20075 + 0.693251i
\(447\) −16.1399 −0.763392
\(448\) −26.6518 + 15.3874i −1.25918 + 0.726987i
\(449\) −39.5246 10.5906i −1.86528 0.499801i −0.865283 0.501284i \(-0.832861\pi\)
−0.999999 + 0.00148324i \(0.999528\pi\)
\(450\) 8.30352 + 47.2217i 0.391432 + 2.22605i
\(451\) 0.103288 + 0.178900i 0.00486363 + 0.00842405i
\(452\) 5.30662 + 19.8046i 0.249603 + 0.931529i
\(453\) 5.69788 9.86901i 0.267710 0.463687i
\(454\) −33.3886 −1.56701
\(455\) 17.0404 16.1409i 0.798867 0.756695i
\(456\) 9.89912 0.463569
\(457\) −4.13201 + 7.15685i −0.193287 + 0.334783i −0.946338 0.323180i \(-0.895248\pi\)
0.753051 + 0.657963i \(0.228582\pi\)
\(458\) −1.76587 6.59033i −0.0825139 0.307946i
\(459\) 6.28500 + 10.8859i 0.293359 + 0.508112i
\(460\) 1.25967 1.50049i 0.0587322 0.0699608i
\(461\) −18.3239 4.90987i −0.853429 0.228676i −0.194520 0.980899i \(-0.562315\pi\)
−0.658909 + 0.752223i \(0.728982\pi\)
\(462\) 0.382170 0.220646i 0.0177801 0.0102654i
\(463\) 24.9284 1.15852 0.579261 0.815142i \(-0.303341\pi\)
0.579261 + 0.815142i \(0.303341\pi\)
\(464\) 11.4178 6.59205i 0.530056 0.306028i
\(465\) −3.07748 + 6.59563i −0.142715 + 0.305865i
\(466\) −50.8091 + 13.6142i −2.35368 + 0.630668i
\(467\) 25.6059 25.6059i 1.18490 1.18490i 0.206441 0.978459i \(-0.433812\pi\)
0.978459 0.206441i \(-0.0661881\pi\)
\(468\) −14.3446 + 36.3426i −0.663081 + 1.67994i
\(469\) 35.8577i 1.65575i
\(470\) −1.64517 + 3.52592i −0.0758862 + 0.162639i
\(471\) 8.95998 15.5191i 0.412854 0.715084i
\(472\) 1.08570 + 0.290913i 0.0499735 + 0.0133904i
\(473\) 0.182660i 0.00839870i
\(474\) −6.32908 + 23.6204i −0.290704 + 1.08492i
\(475\) −2.09700 + 23.8394i −0.0962167 + 1.09383i
\(476\) 13.9121 + 13.9121i 0.637659 + 0.637659i
\(477\) −1.51675 + 5.66058i −0.0694471 + 0.259180i
\(478\) 12.3044 3.29695i 0.562789 0.150799i
\(479\) 1.20781 + 4.50760i 0.0551861 + 0.205957i 0.988014 0.154365i \(-0.0493333\pi\)
−0.932828 + 0.360323i \(0.882667\pi\)
\(480\) 38.1387 + 32.0175i 1.74078 + 1.46139i
\(481\) 8.54051 21.6377i 0.389414 0.986592i
\(482\) 13.3626 + 13.3626i 0.608652 + 0.608652i
\(483\) −2.57972 1.48940i −0.117381 0.0677701i
\(484\) 22.4757 + 12.9764i 1.02162 + 0.589834i
\(485\) 0.742808 0.519859i 0.0337292 0.0236056i
\(486\) 26.2941 26.2941i 1.19273 1.19273i
\(487\) −7.30711 12.6563i −0.331117 0.573511i 0.651615 0.758550i \(-0.274092\pi\)
−0.982731 + 0.185040i \(0.940759\pi\)
\(488\) 4.01630 + 6.95644i 0.181810 + 0.314903i
\(489\) 7.84764 7.84764i 0.354883 0.354883i
\(490\) 5.64362 3.94972i 0.254953 0.178430i
\(491\) −17.4840 10.0944i −0.789042 0.455553i 0.0505834 0.998720i \(-0.483892\pi\)
−0.839625 + 0.543166i \(0.817225\pi\)
\(492\) −44.1464 25.4879i −1.99027 1.14908i
\(493\) −8.47199 8.47199i −0.381559 0.381559i
\(494\) −21.4526 + 28.9498i −0.965197 + 1.30251i
\(495\) −0.207228 0.173968i −0.00931422 0.00781930i
\(496\) 0.963607 + 3.59623i 0.0432672 + 0.161476i
\(497\) −10.4060 + 2.78829i −0.466774 + 0.125072i
\(498\) −1.95977 + 7.31396i −0.0878194 + 0.327746i
\(499\) 0.519223 + 0.519223i 0.0232436 + 0.0232436i 0.718633 0.695389i \(-0.244768\pi\)
−0.695389 + 0.718633i \(0.744768\pi\)
\(500\) 18.6666 18.6402i 0.834794 0.833615i
\(501\) −17.0018 + 63.4515i −0.759583 + 2.83480i
\(502\) 1.21379i 0.0541741i
\(503\) −36.4639 9.77048i −1.62585 0.435644i −0.673134 0.739520i \(-0.735052\pi\)
−0.952712 + 0.303876i \(0.901719\pi\)
\(504\) −5.01785 + 8.69117i −0.223513 + 0.387135i
\(505\) 2.69294 5.77148i 0.119834 0.256827i
\(506\) 0.0204273i 0.000908103i
\(507\) −18.9405 30.4043i −0.841179 1.35030i
\(508\) −25.0719 + 25.0719i −1.11238 + 1.11238i
\(509\) −39.8263 + 10.6714i −1.76527 + 0.473003i −0.987775 0.155884i \(-0.950177\pi\)
−0.777496 + 0.628887i \(0.783511\pi\)
\(510\) 15.5803 33.3916i 0.689908 1.47860i
\(511\) −38.0312 + 21.9573i −1.68240 + 0.971336i
\(512\) 30.2040 1.33484
\(513\) −18.1910 + 10.5026i −0.803152 + 0.463700i
\(514\) −35.0960 9.40395i −1.54802 0.414791i
\(515\) 11.4573 13.6477i 0.504867 0.601390i
\(516\) −22.5371 39.0354i −0.992142 1.71844i
\(517\) −0.00568287 0.0212087i −0.000249932 0.000932759i
\(518\) 19.6086 33.9631i 0.861553 1.49225i
\(519\) 2.23862 0.0982647
\(520\) 5.88552 1.40724i 0.258097 0.0617114i
\(521\) 2.07984 0.0911193 0.0455597 0.998962i \(-0.485493\pi\)
0.0455597 + 0.998962i \(0.485493\pi\)
\(522\) 20.0561 34.7382i 0.877831 1.52045i
\(523\) 9.94861 + 37.1287i 0.435022 + 1.62353i 0.741013 + 0.671491i \(0.234346\pi\)
−0.305990 + 0.952035i \(0.598987\pi\)
\(524\) −10.6700 18.4811i −0.466123 0.807349i
\(525\) −32.8450 23.0214i −1.43347 1.00474i
\(526\) 55.6329 + 14.9068i 2.42571 + 0.649967i
\(527\) 2.93011 1.69170i 0.127638 0.0736917i
\(528\) −0.228815 −0.00995791
\(529\) −19.7992 + 11.4311i −0.860833 + 0.497002i
\(530\) 5.59856 2.03622i 0.243186 0.0884475i
\(531\) −6.64319 + 1.78004i −0.288290 + 0.0772471i
\(532\) −23.2478 + 23.2478i −1.00792 + 1.00792i
\(533\) 25.9328 11.2547i 1.12327 0.487494i
\(534\) 19.2796i 0.834310i
\(535\) −9.98736 27.4602i −0.431791 1.18721i
\(536\) −4.62244 + 8.00630i −0.199659 + 0.345820i
\(537\) 17.4669 + 4.68025i 0.753754 + 0.201968i
\(538\) 38.4533i 1.65784i
\(539\) −0.0100611 + 0.0375484i −0.000433361 + 0.00161733i
\(540\) 22.8015 + 4.02605i 0.981219 + 0.173254i
\(541\) 17.3961 + 17.3961i 0.747916 + 0.747916i 0.974088 0.226171i \(-0.0726209\pi\)
−0.226171 + 0.974088i \(0.572621\pi\)
\(542\) −14.0016 + 52.2547i −0.601420 + 2.24453i
\(543\) −4.16876 + 1.11702i −0.178899 + 0.0479358i
\(544\) −5.99128 22.3598i −0.256874 0.958667i
\(545\) 15.5816 18.5606i 0.667443 0.795048i
\(546\) −24.0425 55.3982i −1.02892 2.37082i
\(547\) −12.8424 12.8424i −0.549100 0.549100i 0.377081 0.926180i \(-0.376928\pi\)
−0.926180 + 0.377081i \(0.876928\pi\)
\(548\) 29.7683 + 17.1868i 1.27164 + 0.734182i
\(549\) −42.5651 24.5750i −1.81663 1.04883i
\(550\) −0.0241016 + 0.273995i −0.00102770 + 0.0116832i
\(551\) 14.1572 14.1572i 0.603115 0.603115i
\(552\) −0.384000 0.665107i −0.0163441 0.0283089i
\(553\) −6.18700 10.7162i −0.263098 0.455699i
\(554\) 34.5829 34.5829i 1.46928 1.46928i
\(555\) −39.1466 6.91212i −1.66168 0.293403i
\(556\) −14.1290 8.15741i −0.599205 0.345951i
\(557\) 26.1484 + 15.0968i 1.10794 + 0.639671i 0.938296 0.345834i \(-0.112404\pi\)
0.169647 + 0.985505i \(0.445737\pi\)
\(558\) 8.00967 + 8.00967i 0.339076 + 0.339076i
\(559\) 24.8342 + 2.84682i 1.05037 + 0.120408i
\(560\) −20.4398 + 1.78340i −0.863740 + 0.0753624i
\(561\) 0.0538185 + 0.200853i 0.00227222 + 0.00848004i
\(562\) 28.3224 7.58897i 1.19471 0.320122i
\(563\) −7.36768 + 27.4966i −0.310511 + 1.15884i 0.617586 + 0.786503i \(0.288111\pi\)
−0.928097 + 0.372339i \(0.878556\pi\)
\(564\) 3.83126 + 3.83126i 0.161325 + 0.161325i
\(565\) −3.37862 + 19.1348i −0.142140 + 0.805005i
\(566\) −2.22201 + 8.29267i −0.0933982 + 0.348567i
\(567\) 4.90639i 0.206049i
\(568\) −2.68290 0.718880i −0.112572 0.0301635i
\(569\) 16.3759 28.3638i 0.686512 1.18907i −0.286447 0.958096i \(-0.592474\pi\)
0.972959 0.230978i \(-0.0741926\pi\)
\(570\) 55.7991 + 26.0355i 2.33717 + 1.09051i
\(571\) 7.81838i 0.327189i −0.986528 0.163594i \(-0.947691\pi\)
0.986528 0.163594i \(-0.0523088\pi\)
\(572\) −0.133447 + 0.180084i −0.00557971 + 0.00752970i
\(573\) 9.00264 9.00264i 0.376091 0.376091i
\(574\) 46.0354 12.3351i 1.92148 0.514859i
\(575\) 1.68308 0.783867i 0.0701892 0.0326895i
\(576\) 42.0448 24.2746i 1.75187 1.01144i
\(577\) 14.7927 0.615830 0.307915 0.951414i \(-0.400369\pi\)
0.307915 + 0.951414i \(0.400369\pi\)
\(578\) 15.9053 9.18293i 0.661573 0.381959i
\(579\) 44.2675 + 11.8614i 1.83969 + 0.492944i
\(580\) −21.9861 + 1.91831i −0.912922 + 0.0796536i
\(581\) −1.91577 3.31822i −0.0794797 0.137663i
\(582\) −0.603764 2.25328i −0.0250268 0.0934014i
\(583\) −0.0168093 + 0.0291146i −0.000696171 + 0.00120580i
\(584\) −11.3222 −0.468514
\(585\) −26.8823 + 25.4631i −1.11144 + 1.05277i
\(586\) −45.6279 −1.88487
\(587\) 8.33757 14.4411i 0.344128 0.596048i −0.641067 0.767485i \(-0.721508\pi\)
0.985195 + 0.171437i \(0.0548411\pi\)
\(588\) −2.48273 9.26568i −0.102386 0.382110i
\(589\) 2.82693 + 4.89638i 0.116481 + 0.201752i
\(590\) 5.35473 + 4.49530i 0.220451 + 0.185069i
\(591\) 68.4805 + 18.3493i 2.81691 + 0.754789i
\(592\) −17.6103 + 10.1673i −0.723780 + 0.417874i
\(593\) −6.40700 −0.263104 −0.131552 0.991309i \(-0.541996\pi\)
−0.131552 + 0.991309i \(0.541996\pi\)
\(594\) −0.209076 + 0.120710i −0.00857850 + 0.00495280i
\(595\) 6.37301 + 17.5226i 0.261268 + 0.718355i
\(596\) 13.3495 3.57699i 0.546817 0.146519i
\(597\) −54.1326 + 54.1326i −2.21550 + 2.21550i
\(598\) 2.77727 + 0.318367i 0.113571 + 0.0130190i
\(599\) 37.0014i 1.51184i 0.654667 + 0.755918i \(0.272809\pi\)
−0.654667 + 0.755918i \(0.727191\pi\)
\(600\) −4.36593 9.37430i −0.178238 0.382704i
\(601\) 0.255112 0.441867i 0.0104062 0.0180241i −0.860775 0.508985i \(-0.830021\pi\)
0.871182 + 0.490961i \(0.163354\pi\)
\(602\) 40.7057 + 10.9071i 1.65904 + 0.444539i
\(603\) 56.5676i 2.30361i
\(604\) −2.52557 + 9.42555i −0.102764 + 0.383520i
\(605\) 14.1025 + 20.1505i 0.573347 + 0.819235i
\(606\) −11.5871 11.5871i −0.470693 0.470693i
\(607\) 6.08093 22.6944i 0.246817 0.921135i −0.725644 0.688071i \(-0.758458\pi\)
0.972461 0.233065i \(-0.0748754\pi\)
\(608\) 37.3644 10.0118i 1.51533 0.406030i
\(609\) 8.68494 + 32.4126i 0.351931 + 1.31343i
\(610\) 4.34294 + 49.7751i 0.175841 + 2.01534i
\(611\) −2.97208 + 0.442089i −0.120238 + 0.0178850i
\(612\) −21.9471 21.9471i −0.887159 0.887159i
\(613\) −10.7921 6.23084i −0.435890 0.251661i 0.265963 0.963983i \(-0.414310\pi\)
−0.701853 + 0.712322i \(0.747644\pi\)
\(614\) 12.6264 + 7.28984i 0.509559 + 0.294194i
\(615\) −27.6998 39.5793i −1.11696 1.59599i
\(616\) −0.0407095 + 0.0407095i −0.00164023 + 0.00164023i
\(617\) −13.9153 24.1020i −0.560209 0.970311i −0.997478 0.0709800i \(-0.977387\pi\)
0.437268 0.899331i \(-0.355946\pi\)
\(618\) −22.9241 39.7057i −0.922141 1.59720i
\(619\) −9.96152 + 9.96152i −0.400387 + 0.400387i −0.878370 0.477982i \(-0.841368\pi\)
0.477982 + 0.878370i \(0.341368\pi\)
\(620\) 1.08367 6.13736i 0.0435213 0.246482i
\(621\) 1.41130 + 0.814817i 0.0566337 + 0.0326975i
\(622\) −38.4830 22.2181i −1.54303 0.890867i
\(623\) 6.89841 + 6.89841i 0.276379 + 0.276379i
\(624\) −3.56617 + 31.1095i −0.142761 + 1.24538i
\(625\) 23.5004 8.52836i 0.940015 0.341134i
\(626\) 13.5001 + 50.3830i 0.539572 + 2.01371i
\(627\) −0.335637 + 0.0899336i −0.0134040 + 0.00359160i
\(628\) −3.97149 + 14.8218i −0.158480 + 0.591454i
\(629\) 13.0669 + 13.0669i 0.521011 + 0.521011i
\(630\) −51.1430 + 35.7928i −2.03759 + 1.42602i
\(631\) 8.57363 31.9972i 0.341311 1.27379i −0.555552 0.831482i \(-0.687493\pi\)
0.896863 0.442308i \(-0.145840\pi\)
\(632\) 3.19028i 0.126903i
\(633\) −39.3293 10.5382i −1.56320 0.418858i
\(634\) 16.3605 28.3373i 0.649760 1.12542i
\(635\) −31.5785 + 11.4852i −1.25316 + 0.455777i
\(636\) 8.29594i 0.328955i
\(637\) 4.94823 + 1.95310i 0.196056 + 0.0773845i
\(638\) 0.162714 0.162714i 0.00644190 0.00644190i
\(639\) 16.4161 4.39868i 0.649411 0.174009i
\(640\) −11.9710 5.58560i −0.473195 0.220790i
\(641\) 39.0498 22.5454i 1.54238 0.890491i 0.543688 0.839288i \(-0.317028\pi\)
0.998688 0.0512035i \(-0.0163057\pi\)
\(642\) −75.1815 −2.96718
\(643\) −15.0906 + 8.71256i −0.595115 + 0.343590i −0.767117 0.641507i \(-0.778310\pi\)
0.172003 + 0.985097i \(0.444976\pi\)
\(644\) 2.46380 + 0.660173i 0.0970873 + 0.0260145i
\(645\) −3.71297 42.5549i −0.146198 1.67560i
\(646\) −14.3118 24.7888i −0.563091 0.975302i
\(647\) −6.44377 24.0485i −0.253331 0.945442i −0.969012 0.247015i \(-0.920550\pi\)
0.715681 0.698427i \(-0.246116\pi\)
\(648\) −0.632487 + 1.09550i −0.0248464 + 0.0430353i
\(649\) −0.0394545 −0.00154872
\(650\) 36.8765 + 7.54714i 1.44641 + 0.296023i
\(651\) −9.47598 −0.371393
\(652\) −4.75164 + 8.23009i −0.186089 + 0.322315i
\(653\) 4.73226 + 17.6610i 0.185188 + 0.691129i 0.994590 + 0.103875i \(0.0331243\pi\)
−0.809403 + 0.587254i \(0.800209\pi\)
\(654\) −31.1762 53.9988i −1.21909 2.11152i
\(655\) −1.75788 20.1473i −0.0686860 0.787220i
\(656\) −23.8699 6.39593i −0.931965 0.249719i
\(657\) 59.9965 34.6390i 2.34069 1.35140i
\(658\) −5.06571 −0.197482
\(659\) −24.6502 + 14.2318i −0.960234 + 0.554391i −0.896245 0.443559i \(-0.853716\pi\)
−0.0639889 + 0.997951i \(0.520382\pi\)
\(660\) 0.347102 + 0.161956i 0.0135109 + 0.00630413i
\(661\) 24.2172 6.48898i 0.941941 0.252392i 0.245002 0.969523i \(-0.421211\pi\)
0.696939 + 0.717130i \(0.254545\pi\)
\(662\) −4.97071 + 4.97071i −0.193192 + 0.193192i
\(663\) 28.1466 4.18673i 1.09312 0.162599i
\(664\) 0.987856i 0.0383363i
\(665\) −29.2811 + 10.6496i −1.13547 + 0.412976i
\(666\) −30.9337 + 53.5788i −1.19866 + 2.07614i
\(667\) −1.50037 0.402024i −0.0580947 0.0155664i
\(668\) 56.2494i 2.17635i
\(669\) −10.0015 + 37.3260i −0.386680 + 1.44311i
\(670\) −47.1129 + 32.9723i −1.82013 + 1.27383i
\(671\) −0.199375 0.199375i −0.00769679 0.00769679i
\(672\) −16.7799 + 62.6235i −0.647299 + 2.41575i
\(673\) −27.4718 + 7.36105i −1.05896 + 0.283748i −0.745950 0.666002i \(-0.768004\pi\)
−0.313010 + 0.949750i \(0.601337\pi\)
\(674\) −5.50873 20.5588i −0.212188 0.791897i
\(675\) 17.9688 + 12.5945i 0.691618 + 0.484762i
\(676\) 22.4042 + 20.9500i 0.861701 + 0.805770i
\(677\) −2.88008 2.88008i −0.110691 0.110691i 0.649592 0.760283i \(-0.274940\pi\)
−0.760283 + 0.649592i \(0.774940\pi\)
\(678\) 43.2963 + 24.9971i 1.66278 + 0.960008i
\(679\) 1.02227 + 0.590210i 0.0392313 + 0.0226502i
\(680\) −0.835879 + 4.73399i −0.0320545 + 0.181540i
\(681\) −31.1576 + 31.1576i −1.19396 + 1.19396i
\(682\) 0.0324910 + 0.0562760i 0.00124414 + 0.00215492i
\(683\) −10.7928 18.6936i −0.412974 0.715292i 0.582239 0.813018i \(-0.302177\pi\)
−0.995213 + 0.0977251i \(0.968843\pi\)
\(684\) 36.6748 36.6748i 1.40230 1.40230i
\(685\) 18.6783 + 26.6887i 0.713660 + 1.01972i
\(686\) −29.0822 16.7906i −1.11036 0.641069i
\(687\) −7.79784 4.50208i −0.297506 0.171765i
\(688\) −15.4510 15.4510i −0.589064 0.589064i
\(689\) 3.69641 + 2.73914i 0.140822 + 0.104353i
\(690\) −0.415230 4.75901i −0.0158075 0.181172i
\(691\) 9.34901 + 34.8910i 0.355653 + 1.32732i 0.879661 + 0.475602i \(0.157770\pi\)
−0.524008 + 0.851713i \(0.675564\pi\)
\(692\) −1.85159 + 0.496132i −0.0703869 + 0.0188601i
\(693\) 0.0911744 0.340268i 0.00346343 0.0129257i
\(694\) 28.9269 + 28.9269i 1.09805 + 1.09805i
\(695\) −8.86533 12.6674i −0.336281 0.480500i
\(696\) −2.23916 + 8.35668i −0.0848753 + 0.316759i
\(697\) 22.4573i 0.850631i
\(698\) −16.8036 4.50251i −0.636026 0.170423i
\(699\) −34.7094 + 60.1185i −1.31283 + 2.27389i
\(700\) 32.2686 + 11.7620i 1.21964 + 0.444563i
\(701\) 16.0544i 0.606367i 0.952932 + 0.303184i \(0.0980496\pi\)
−0.952932 + 0.303184i \(0.901950\pi\)
\(702\) 13.1531 + 30.3071i 0.496431 + 1.14387i
\(703\) −21.8355 + 21.8355i −0.823540 + 0.823540i
\(704\) 0.269022 0.0720843i 0.0101392 0.00271678i
\(705\) 1.75507 + 4.82556i 0.0660998 + 0.181741i
\(706\) 9.34579 5.39580i 0.351734 0.203073i
\(707\) 8.29192 0.311850
\(708\) 8.43165 4.86801i 0.316881 0.182951i
\(709\) 25.0659 + 6.71639i 0.941370 + 0.252239i 0.696696 0.717366i \(-0.254652\pi\)
0.244674 + 0.969605i \(0.421319\pi\)
\(710\) −13.2322 11.1084i −0.496594 0.416892i
\(711\) 9.76035 + 16.9054i 0.366042 + 0.634003i
\(712\) 0.650997 + 2.42956i 0.0243972 + 0.0910514i
\(713\) 0.219320 0.379874i 0.00821361 0.0142264i
\(714\) 47.9738 1.79538
\(715\) −0.186768 + 0.101183i −0.00698472 + 0.00378404i
\(716\) −15.4843 −0.578677
\(717\) 8.40555 14.5588i 0.313911 0.543710i
\(718\) −8.57052 31.9856i −0.319849 1.19369i
\(719\) −21.6867 37.5624i −0.808776 1.40084i −0.913712 0.406362i \(-0.866797\pi\)
0.104936 0.994479i \(-0.466536\pi\)
\(720\) 32.2450 2.81342i 1.20170 0.104850i
\(721\) 22.4094 + 6.00459i 0.834571 + 0.223623i
\(722\) 7.06747 4.08041i 0.263024 0.151857i
\(723\) 24.9395 0.927509
\(724\) 3.20047 1.84779i 0.118945 0.0686727i
\(725\) −19.6505 7.16268i −0.729801 0.266015i
\(726\) 61.1258 16.3786i 2.26859 0.607867i
\(727\) 5.51970 5.51970i 0.204714 0.204714i −0.597302 0.802016i \(-0.703761\pi\)
0.802016 + 0.597302i \(0.203761\pi\)
\(728\) 4.90034 + 6.16928i 0.181619 + 0.228649i
\(729\) 44.0183i 1.63031i
\(730\) −63.8204 29.7783i −2.36210 1.10214i
\(731\) −9.92869 + 17.1970i −0.367226 + 0.636054i
\(732\) 67.2071 + 18.0081i 2.48405 + 0.665598i
\(733\) 14.7183i 0.543633i −0.962349 0.271817i \(-0.912376\pi\)
0.962349 0.271817i \(-0.0876244\pi\)
\(734\) 6.57289 24.5304i 0.242610 0.905432i
\(735\) 1.58071 8.95230i 0.0583052 0.330211i
\(736\) −2.12209 2.12209i −0.0782212 0.0782212i
\(737\) 0.0839899 0.313455i 0.00309381 0.0115462i
\(738\) −72.6235 + 19.4594i −2.67331 + 0.716311i
\(739\) −8.68701 32.4204i −0.319557 1.19260i −0.919672 0.392688i \(-0.871545\pi\)
0.600115 0.799914i \(-0.295122\pi\)
\(740\) 33.9105 2.95873i 1.24657 0.108765i
\(741\) 6.99624 + 47.0344i 0.257013 + 1.72785i
\(742\) 5.48446 + 5.48446i 0.201341 + 0.201341i
\(743\) 18.1254 + 10.4647i 0.664958 + 0.383914i 0.794163 0.607704i \(-0.207909\pi\)
−0.129206 + 0.991618i \(0.541243\pi\)
\(744\) −2.11580 1.22156i −0.0775689 0.0447844i
\(745\) 12.8980 + 2.27740i 0.472546 + 0.0834374i
\(746\) 0.506032 0.506032i 0.0185272 0.0185272i
\(747\) 3.02225 + 5.23469i 0.110578 + 0.191527i
\(748\) −0.0890277 0.154201i −0.00325518 0.00563813i
\(749\) 26.9006 26.9006i 0.982925 0.982925i
\(750\) 0.0454625 64.3236i 0.00166006 2.34876i
\(751\) 28.8409 + 16.6513i 1.05242 + 0.607614i 0.923325 0.384019i \(-0.125460\pi\)
0.129093 + 0.991633i \(0.458793\pi\)
\(752\) 2.27473 + 1.31332i 0.0829510 + 0.0478918i
\(753\) 1.13268 + 1.13268i 0.0412773 + 0.0412773i
\(754\) −19.5864 24.6583i −0.713295 0.898003i
\(755\) −5.94593 + 7.08269i −0.216395 + 0.257766i
\(756\) 7.80228 + 29.1185i 0.283766 + 1.05903i
\(757\) 9.59581 2.57119i 0.348766 0.0934515i −0.0801834 0.996780i \(-0.525551\pi\)
0.428949 + 0.903329i \(0.358884\pi\)
\(758\) −8.38381 + 31.2888i −0.304514 + 1.13646i
\(759\) 0.0190623 + 0.0190623i 0.000691918 + 0.000691918i
\(760\) −7.91075 1.39680i −0.286953 0.0506672i
\(761\) 11.0600 41.2764i 0.400924 1.49627i −0.410526 0.911849i \(-0.634655\pi\)
0.811450 0.584421i \(-0.198678\pi\)
\(762\) 86.4568i 3.13200i
\(763\) 30.4763 + 8.16611i 1.10332 + 0.295633i
\(764\) −5.45098 + 9.44138i −0.197210 + 0.341577i
\(765\) −10.0538 27.6429i −0.363496 0.999429i
\(766\) 46.7838i 1.69037i
\(767\) −0.614912 + 5.36418i −0.0222032 + 0.193689i
\(768\) 17.1599 17.1599i 0.619203 0.619203i
\(769\) 32.2304 8.63611i 1.16226 0.311426i 0.374391 0.927271i \(-0.377852\pi\)
0.787867 + 0.615845i \(0.211185\pi\)
\(770\) −0.336539 + 0.122401i −0.0121280 + 0.00441101i
\(771\) −41.5264 + 23.9753i −1.49554 + 0.863450i
\(772\) −39.2429