Properties

Label 731.2.k.a.35.4
Level 731
Weight 2
Character 731.35
Analytic conductor 5.837
Analytic rank 0
Dimension 180
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.k (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(180\)
Relative dimension: \(30\) over \(\Q(\zeta_{7})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 35.4
Character \(\chi\) = 731.35
Dual form 731.2.k.a.188.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.534521 + 2.34189i) q^{2} +(0.544712 + 2.38654i) q^{3} +(-3.39680 - 1.63581i) q^{4} +(-2.43138 + 3.04885i) q^{5} -5.88018 q^{6} +1.85392 q^{7} +(2.65117 - 3.32446i) q^{8} +(-2.69596 + 1.29830i) q^{9} +O(q^{10})\) \(q+(-0.534521 + 2.34189i) q^{2} +(0.544712 + 2.38654i) q^{3} +(-3.39680 - 1.63581i) q^{4} +(-2.43138 + 3.04885i) q^{5} -5.88018 q^{6} +1.85392 q^{7} +(2.65117 - 3.32446i) q^{8} +(-2.69596 + 1.29830i) q^{9} +(-5.84046 - 7.32370i) q^{10} +(0.554940 - 0.267245i) q^{11} +(2.05366 - 8.99766i) q^{12} +(1.74808 - 2.19202i) q^{13} +(-0.990961 + 4.34168i) q^{14} +(-8.60061 - 4.14183i) q^{15} +(1.66710 + 2.09048i) q^{16} +(0.623490 + 0.781831i) q^{17} +(-1.59944 - 7.00760i) q^{18} +(-6.60991 - 3.18317i) q^{19} +(13.2463 - 6.37907i) q^{20} +(1.00985 + 4.42446i) q^{21} +(0.329231 + 1.44246i) q^{22} +(-4.07500 + 1.96241i) q^{23} +(9.37809 + 4.51625i) q^{24} +(-2.27129 - 9.95119i) q^{25} +(4.19910 + 5.26550i) q^{26} +(0.0117758 + 0.0147664i) q^{27} +(-6.29741 - 3.03267i) q^{28} +(-1.53980 + 6.74629i) q^{29} +(14.2969 - 17.9278i) q^{30} +(-0.661644 + 2.89885i) q^{31} +(1.87532 - 0.903109i) q^{32} +(0.940074 + 1.17881i) q^{33} +(-2.16423 + 1.04224i) q^{34} +(-4.50758 + 5.65233i) q^{35} +11.2814 q^{36} +10.1854 q^{37} +(10.9878 - 13.7782i) q^{38} +(6.18355 + 2.97784i) q^{39} +(3.68980 + 16.1661i) q^{40} +(-2.03200 + 8.90276i) q^{41} -10.9014 q^{42} +(4.90289 + 4.35450i) q^{43} -2.32219 q^{44} +(2.59655 - 11.3762i) q^{45} +(-2.41759 - 10.5921i) q^{46} +(1.64014 + 0.789848i) q^{47} +(-4.08093 + 5.11732i) q^{48} -3.56298 q^{49} +24.5186 q^{50} +(-1.52625 + 1.91386i) q^{51} +(-9.52363 + 4.58634i) q^{52} +(-6.17834 - 7.74739i) q^{53} +(-0.0408758 + 0.0196848i) q^{54} +(-0.534479 + 2.34170i) q^{55} +(4.91506 - 6.16329i) q^{56} +(3.99625 - 17.5087i) q^{57} +(-14.9760 - 7.21207i) q^{58} +(0.949368 + 1.19047i) q^{59} +(22.4393 + 28.1380i) q^{60} +(-0.568194 - 2.48942i) q^{61} +(-6.43514 - 3.09900i) q^{62} +(-4.99809 + 2.40695i) q^{63} +(2.30255 + 10.0881i) q^{64} +(2.43291 + 10.6593i) q^{65} +(-3.26315 + 1.57145i) q^{66} +(4.32115 + 2.08096i) q^{67} +(-0.838941 - 3.67564i) q^{68} +(-6.90308 - 8.65619i) q^{69} +(-10.8277 - 13.5776i) q^{70} +(-11.5321 - 5.55356i) q^{71} +(-2.83128 + 12.4046i) q^{72} +(-3.47105 + 4.35256i) q^{73} +(-5.44433 + 23.8532i) q^{74} +(22.5117 - 10.8411i) q^{75} +(17.2455 + 21.6252i) q^{76} +(1.02882 - 0.495451i) q^{77} +(-10.2790 + 12.8895i) q^{78} +6.85642 q^{79} -10.4269 q^{80} +(-5.62580 + 7.05453i) q^{81} +(-19.7631 - 9.51743i) q^{82} +(0.353453 + 1.54858i) q^{83} +(3.80732 - 16.6809i) q^{84} -3.89963 q^{85} +(-12.8185 + 9.15446i) q^{86} -16.9390 q^{87} +(0.582795 - 2.55339i) q^{88} +(-2.31283 - 10.1332i) q^{89} +(25.2540 + 12.1617i) q^{90} +(3.24080 - 4.06384i) q^{91} +17.0521 q^{92} -7.27864 q^{93} +(-2.72643 + 3.41883i) q^{94} +(25.7762 - 12.4132i) q^{95} +(3.17682 + 3.98360i) q^{96} +(-2.88114 + 1.38748i) q^{97} +(1.90449 - 8.34410i) q^{98} +(-1.14913 + 1.44096i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} + O(q^{10}) \) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} - 8q^{10} - 12q^{11} - 24q^{12} - 5q^{13} - 8q^{14} - q^{15} - 58q^{16} - 30q^{17} + 36q^{18} - 24q^{19} - 36q^{20} - 28q^{21} + 5q^{22} + 27q^{23} - 46q^{24} - 38q^{25} + 6q^{26} - 36q^{27} - 54q^{28} + 28q^{29} - 21q^{30} + 36q^{31} + 11q^{32} + 5q^{33} - 4q^{34} + 6q^{35} + 192q^{36} + 164q^{37} + 32q^{38} - 34q^{39} + 2q^{40} + 42q^{41} - 2q^{42} - 22q^{43} + 14q^{44} + 58q^{45} - 53q^{46} + 21q^{47} - 20q^{48} + 166q^{49} + 18q^{50} - 6q^{51} + 54q^{52} + 8q^{53} - 154q^{54} - 5q^{55} - 35q^{56} + 8q^{57} + 9q^{58} - 13q^{59} - 88q^{60} - 34q^{61} - 36q^{62} - 31q^{63} - 18q^{64} + 9q^{65} + 222q^{66} - 48q^{67} - 27q^{68} + 2q^{69} - 64q^{70} - 42q^{71} + 77q^{72} - 44q^{73} - 35q^{74} - 21q^{75} + 44q^{76} - 32q^{77} + 124q^{78} - 96q^{79} + 490q^{80} - 12q^{81} - 130q^{82} - 8q^{83} + 170q^{84} + 22q^{85} - 12q^{86} - 90q^{87} - 122q^{88} - 81q^{89} + 49q^{90} - 27q^{91} - 116q^{92} + 18q^{93} - 124q^{94} + 117q^{95} + 52q^{96} - 79q^{97} - 54q^{98} - 39q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.534521 + 2.34189i −0.377964 + 1.65597i 0.325729 + 0.945463i \(0.394390\pi\)
−0.703693 + 0.710504i \(0.748467\pi\)
\(3\) 0.544712 + 2.38654i 0.314490 + 1.37787i 0.847066 + 0.531488i \(0.178367\pi\)
−0.532576 + 0.846382i \(0.678776\pi\)
\(4\) −3.39680 1.63581i −1.69840 0.817907i
\(5\) −2.43138 + 3.04885i −1.08735 + 1.36349i −0.160938 + 0.986964i \(0.551452\pi\)
−0.926407 + 0.376524i \(0.877119\pi\)
\(6\) −5.88018 −2.40057
\(7\) 1.85392 0.700716 0.350358 0.936616i \(-0.386060\pi\)
0.350358 + 0.936616i \(0.386060\pi\)
\(8\) 2.65117 3.32446i 0.937331 1.17538i
\(9\) −2.69596 + 1.29830i −0.898652 + 0.432768i
\(10\) −5.84046 7.32370i −1.84691 2.31596i
\(11\) 0.554940 0.267245i 0.167321 0.0805774i −0.348349 0.937365i \(-0.613258\pi\)
0.515670 + 0.856788i \(0.327543\pi\)
\(12\) 2.05366 8.99766i 0.592839 2.59740i
\(13\) 1.74808 2.19202i 0.484830 0.607958i −0.477902 0.878413i \(-0.658603\pi\)
0.962733 + 0.270455i \(0.0871741\pi\)
\(14\) −0.990961 + 4.34168i −0.264845 + 1.16036i
\(15\) −8.60061 4.14183i −2.22067 1.06942i
\(16\) 1.66710 + 2.09048i 0.416776 + 0.522621i
\(17\) 0.623490 + 0.781831i 0.151218 + 0.189622i
\(18\) −1.59944 7.00760i −0.376992 1.65171i
\(19\) −6.60991 3.18317i −1.51642 0.730268i −0.523833 0.851821i \(-0.675498\pi\)
−0.992585 + 0.121552i \(0.961213\pi\)
\(20\) 13.2463 6.37907i 2.96196 1.42640i
\(21\) 1.00985 + 4.42446i 0.220368 + 0.965496i
\(22\) 0.329231 + 1.44246i 0.0701924 + 0.307533i
\(23\) −4.07500 + 1.96241i −0.849695 + 0.409192i −0.807465 0.589916i \(-0.799161\pi\)
−0.0422309 + 0.999108i \(0.513446\pi\)
\(24\) 9.37809 + 4.51625i 1.91430 + 0.921876i
\(25\) −2.27129 9.95119i −0.454259 1.99024i
\(26\) 4.19910 + 5.26550i 0.823510 + 1.03265i
\(27\) 0.0117758 + 0.0147664i 0.00226626 + 0.00284180i
\(28\) −6.29741 3.03267i −1.19010 0.573121i
\(29\) −1.53980 + 6.74629i −0.285933 + 1.25275i 0.604118 + 0.796895i \(0.293525\pi\)
−0.890051 + 0.455860i \(0.849332\pi\)
\(30\) 14.2969 17.9278i 2.61025 3.27315i
\(31\) −0.661644 + 2.89885i −0.118835 + 0.520650i 0.880112 + 0.474766i \(0.157467\pi\)
−0.998947 + 0.0458833i \(0.985390\pi\)
\(32\) 1.87532 0.903109i 0.331514 0.159649i
\(33\) 0.940074 + 1.17881i 0.163646 + 0.205205i
\(34\) −2.16423 + 1.04224i −0.371163 + 0.178743i
\(35\) −4.50758 + 5.65233i −0.761921 + 0.955418i
\(36\) 11.2814 1.88024
\(37\) 10.1854 1.67448 0.837238 0.546839i \(-0.184169\pi\)
0.837238 + 0.546839i \(0.184169\pi\)
\(38\) 10.9878 13.7782i 1.78245 2.23512i
\(39\) 6.18355 + 2.97784i 0.990161 + 0.476836i
\(40\) 3.68980 + 16.1661i 0.583408 + 2.55608i
\(41\) −2.03200 + 8.90276i −0.317345 + 1.39038i 0.524846 + 0.851197i \(0.324123\pi\)
−0.842190 + 0.539180i \(0.818734\pi\)
\(42\) −10.9014 −1.68212
\(43\) 4.90289 + 4.35450i 0.747683 + 0.664055i
\(44\) −2.32219 −0.350083
\(45\) 2.59655 11.3762i 0.387071 1.69587i
\(46\) −2.41759 10.5921i −0.356454 1.56173i
\(47\) 1.64014 + 0.789848i 0.239239 + 0.115211i 0.549662 0.835387i \(-0.314757\pi\)
−0.310423 + 0.950598i \(0.600471\pi\)
\(48\) −4.08093 + 5.11732i −0.589031 + 0.738622i
\(49\) −3.56298 −0.508997
\(50\) 24.5186 3.46746
\(51\) −1.52625 + 1.91386i −0.213718 + 0.267994i
\(52\) −9.52363 + 4.58634i −1.32069 + 0.636011i
\(53\) −6.17834 7.74739i −0.848660 1.06419i −0.997163 0.0752742i \(-0.976017\pi\)
0.148503 0.988912i \(-0.452555\pi\)
\(54\) −0.0408758 + 0.0196848i −0.00556250 + 0.00267876i
\(55\) −0.534479 + 2.34170i −0.0720691 + 0.315755i
\(56\) 4.91506 6.16329i 0.656803 0.823605i
\(57\) 3.99625 17.5087i 0.529317 2.31909i
\(58\) −14.9760 7.21207i −1.96645 0.946992i
\(59\) 0.949368 + 1.19047i 0.123597 + 0.154986i 0.839780 0.542927i \(-0.182684\pi\)
−0.716183 + 0.697913i \(0.754112\pi\)
\(60\) 22.4393 + 28.1380i 2.89690 + 3.63260i
\(61\) −0.568194 2.48942i −0.0727498 0.318738i 0.925439 0.378897i \(-0.123696\pi\)
−0.998189 + 0.0601589i \(0.980839\pi\)
\(62\) −6.43514 3.09900i −0.817263 0.393573i
\(63\) −4.99809 + 2.40695i −0.629700 + 0.303248i
\(64\) 2.30255 + 10.0881i 0.287818 + 1.26101i
\(65\) 2.43291 + 10.6593i 0.301765 + 1.32212i
\(66\) −3.26315 + 1.57145i −0.401665 + 0.193432i
\(67\) 4.32115 + 2.08096i 0.527912 + 0.254229i 0.678802 0.734321i \(-0.262499\pi\)
−0.150890 + 0.988551i \(0.548214\pi\)
\(68\) −0.838941 3.67564i −0.101737 0.445737i
\(69\) −6.90308 8.65619i −0.831033 1.04208i
\(70\) −10.8277 13.5776i −1.29416 1.62283i
\(71\) −11.5321 5.55356i −1.36861 0.659086i −0.402068 0.915610i \(-0.631709\pi\)
−0.966538 + 0.256524i \(0.917423\pi\)
\(72\) −2.83128 + 12.4046i −0.333669 + 1.46190i
\(73\) −3.47105 + 4.35256i −0.406255 + 0.509428i −0.942304 0.334759i \(-0.891345\pi\)
0.536048 + 0.844187i \(0.319916\pi\)
\(74\) −5.44433 + 23.8532i −0.632891 + 2.77288i
\(75\) 22.5117 10.8411i 2.59943 1.25182i
\(76\) 17.2455 + 21.6252i 1.97820 + 2.48058i
\(77\) 1.02882 0.495451i 0.117244 0.0564619i
\(78\) −10.2790 + 12.8895i −1.16387 + 1.45945i
\(79\) 6.85642 0.771408 0.385704 0.922623i \(-0.373959\pi\)
0.385704 + 0.922623i \(0.373959\pi\)
\(80\) −10.4269 −1.16577
\(81\) −5.62580 + 7.05453i −0.625089 + 0.783837i
\(82\) −19.7631 9.51743i −2.18247 1.05102i
\(83\) 0.353453 + 1.54858i 0.0387966 + 0.169979i 0.990615 0.136684i \(-0.0436446\pi\)
−0.951818 + 0.306663i \(0.900787\pi\)
\(84\) 3.80732 16.6809i 0.415412 1.82004i
\(85\) −3.89963 −0.422974
\(86\) −12.8185 + 9.15446i −1.38225 + 0.987150i
\(87\) −16.9390 −1.81606
\(88\) 0.582795 2.55339i 0.0621261 0.272192i
\(89\) −2.31283 10.1332i −0.245159 1.07411i −0.936247 0.351342i \(-0.885726\pi\)
0.691088 0.722770i \(-0.257132\pi\)
\(90\) 25.2540 + 12.1617i 2.66200 + 1.28195i
\(91\) 3.24080 4.06384i 0.339729 0.426006i
\(92\) 17.0521 1.77780
\(93\) −7.27864 −0.754759
\(94\) −2.72643 + 3.41883i −0.281209 + 0.352626i
\(95\) 25.7762 12.4132i 2.64458 1.27356i
\(96\) 3.17682 + 3.98360i 0.324233 + 0.406575i
\(97\) −2.88114 + 1.38748i −0.292535 + 0.140878i −0.574396 0.818578i \(-0.694763\pi\)
0.281860 + 0.959455i \(0.409049\pi\)
\(98\) 1.90449 8.34410i 0.192382 0.842882i
\(99\) −1.14913 + 1.44096i −0.115492 + 0.144822i
\(100\) −8.56316 + 37.5176i −0.856316 + 3.75176i
\(101\) −1.63021 0.785066i −0.162212 0.0781169i 0.351016 0.936369i \(-0.385836\pi\)
−0.513228 + 0.858252i \(0.671550\pi\)
\(102\) −3.66623 4.59731i −0.363011 0.455201i
\(103\) −2.09168 2.62288i −0.206099 0.258440i 0.668029 0.744135i \(-0.267138\pi\)
−0.874129 + 0.485695i \(0.838567\pi\)
\(104\) −2.65284 11.6229i −0.260133 1.13972i
\(105\) −15.9449 7.67864i −1.55606 0.749358i
\(106\) 21.4460 10.3279i 2.08302 1.00313i
\(107\) 1.48634 + 6.51208i 0.143690 + 0.629547i 0.994560 + 0.104170i \(0.0332185\pi\)
−0.850870 + 0.525377i \(0.823924\pi\)
\(108\) −0.0158451 0.0694218i −0.00152469 0.00668011i
\(109\) −4.65431 + 2.24140i −0.445802 + 0.214687i −0.643297 0.765617i \(-0.722434\pi\)
0.197494 + 0.980304i \(0.436720\pi\)
\(110\) −5.19833 2.50338i −0.495641 0.238688i
\(111\) 5.54813 + 24.3079i 0.526605 + 2.30721i
\(112\) 3.09068 + 3.87559i 0.292042 + 0.366209i
\(113\) 9.53145 + 11.9521i 0.896643 + 1.12435i 0.991660 + 0.128879i \(0.0411380\pi\)
−0.0950171 + 0.995476i \(0.530291\pi\)
\(114\) 38.8675 + 18.7176i 3.64027 + 1.75306i
\(115\) 3.92475 17.1954i 0.365984 1.60348i
\(116\) 16.2661 20.3970i 1.51027 1.89381i
\(117\) −1.86683 + 8.17914i −0.172589 + 0.756162i
\(118\) −3.29541 + 1.58699i −0.303367 + 0.146094i
\(119\) 1.15590 + 1.44945i 0.105961 + 0.132871i
\(120\) −36.5711 + 17.6117i −3.33847 + 1.60772i
\(121\) −6.62185 + 8.30354i −0.601986 + 0.754867i
\(122\) 6.13367 0.555316
\(123\) −22.3536 −2.01556
\(124\) 6.98946 8.76451i 0.627672 0.787076i
\(125\) 18.2948 + 8.81034i 1.63634 + 0.788020i
\(126\) −2.96524 12.9915i −0.264164 1.15738i
\(127\) −0.784615 + 3.43762i −0.0696233 + 0.305040i −0.997735 0.0672612i \(-0.978574\pi\)
0.928112 + 0.372301i \(0.121431\pi\)
\(128\) −20.6931 −1.82903
\(129\) −7.72153 + 14.0729i −0.679843 + 1.23905i
\(130\) −26.2633 −2.30345
\(131\) 4.65370 20.3892i 0.406596 1.78141i −0.193094 0.981180i \(-0.561852\pi\)
0.599690 0.800233i \(-0.295291\pi\)
\(132\) −1.26492 5.54199i −0.110097 0.482368i
\(133\) −12.2543 5.90134i −1.06258 0.511711i
\(134\) −7.18312 + 9.00735i −0.620527 + 0.778116i
\(135\) −0.0736522 −0.00633897
\(136\) 4.25215 0.364619
\(137\) 5.84450 7.32877i 0.499330 0.626139i −0.466748 0.884390i \(-0.654575\pi\)
0.966078 + 0.258251i \(0.0831461\pi\)
\(138\) 23.9617 11.5393i 2.03976 0.982294i
\(139\) 2.05757 + 2.58011i 0.174521 + 0.218842i 0.861397 0.507932i \(-0.169590\pi\)
−0.686876 + 0.726774i \(0.741019\pi\)
\(140\) 24.5575 11.8263i 2.07549 0.999504i
\(141\) −0.991602 + 4.34449i −0.0835079 + 0.365872i
\(142\) 19.1700 24.0384i 1.60871 2.01726i
\(143\) 0.384273 1.68361i 0.0321345 0.140790i
\(144\) −7.20852 3.47144i −0.600710 0.289287i
\(145\) −16.8246 21.0974i −1.39721 1.75204i
\(146\) −8.33786 10.4553i −0.690046 0.865291i
\(147\) −1.94080 8.50318i −0.160074 0.701331i
\(148\) −34.5979 16.6615i −2.84393 1.36957i
\(149\) 20.1904 9.72321i 1.65407 0.796556i 0.654900 0.755716i \(-0.272711\pi\)
0.999166 0.0408405i \(-0.0130035\pi\)
\(150\) 13.3556 + 58.5147i 1.09048 + 4.77771i
\(151\) −1.44856 6.34655i −0.117882 0.516475i −0.999046 0.0436647i \(-0.986097\pi\)
0.881164 0.472810i \(-0.156760\pi\)
\(152\) −28.1063 + 13.5353i −2.27973 + 1.09786i
\(153\) −2.69596 1.29830i −0.217955 0.104962i
\(154\) 0.610369 + 2.67420i 0.0491850 + 0.215493i
\(155\) −7.22947 9.06547i −0.580685 0.728156i
\(156\) −16.1331 20.2303i −1.29168 1.61972i
\(157\) 3.52639 + 1.69822i 0.281437 + 0.135533i 0.569277 0.822146i \(-0.307223\pi\)
−0.287841 + 0.957678i \(0.592937\pi\)
\(158\) −3.66491 + 16.0570i −0.291564 + 1.27743i
\(159\) 15.1240 18.9650i 1.19941 1.50402i
\(160\) −1.80618 + 7.91339i −0.142791 + 0.625608i
\(161\) −7.55472 + 3.63816i −0.595395 + 0.286727i
\(162\) −13.5138 16.9458i −1.06175 1.33139i
\(163\) −7.31302 + 3.52176i −0.572800 + 0.275846i −0.697778 0.716314i \(-0.745828\pi\)
0.124979 + 0.992159i \(0.460114\pi\)
\(164\) 21.4656 26.9170i 1.67618 2.10186i
\(165\) −5.87971 −0.457735
\(166\) −3.81554 −0.296143
\(167\) −14.1651 + 17.7625i −1.09613 + 1.37450i −0.175313 + 0.984513i \(0.556094\pi\)
−0.920818 + 0.389992i \(0.872478\pi\)
\(168\) 17.3862 + 8.37277i 1.34138 + 0.645974i
\(169\) 1.14359 + 5.01039i 0.0879684 + 0.385415i
\(170\) 2.08443 9.13250i 0.159869 0.700431i
\(171\) 21.9527 1.67877
\(172\) −9.53099 22.8116i −0.726731 1.73937i
\(173\) −11.7939 −0.896677 −0.448339 0.893864i \(-0.647984\pi\)
−0.448339 + 0.893864i \(0.647984\pi\)
\(174\) 9.05428 39.6694i 0.686403 3.00733i
\(175\) −4.21080 18.4487i −0.318306 1.39459i
\(176\) 1.48381 + 0.714567i 0.111847 + 0.0538625i
\(177\) −2.32397 + 2.91417i −0.174680 + 0.219042i
\(178\) 24.9670 1.87136
\(179\) 12.7963 0.956441 0.478220 0.878240i \(-0.341282\pi\)
0.478220 + 0.878240i \(0.341282\pi\)
\(180\) −27.4294 + 34.3954i −2.04447 + 2.56368i
\(181\) 2.04425 0.984460i 0.151948 0.0731743i −0.356364 0.934347i \(-0.615984\pi\)
0.508312 + 0.861173i \(0.330270\pi\)
\(182\) 7.78479 + 9.76182i 0.577047 + 0.723594i
\(183\) 5.63160 2.71204i 0.416300 0.200479i
\(184\) −4.27954 + 18.7499i −0.315492 + 1.38226i
\(185\) −24.7646 + 31.0539i −1.82073 + 2.28313i
\(186\) 3.89059 17.0458i 0.285272 1.24986i
\(187\) 0.554940 + 0.267245i 0.0405812 + 0.0195429i
\(188\) −4.27918 5.36592i −0.312091 0.391350i
\(189\) 0.0218315 + 0.0273758i 0.00158801 + 0.00199130i
\(190\) 15.2924 + 67.0002i 1.10942 + 4.86070i
\(191\) 2.48374 + 1.19611i 0.179717 + 0.0865472i 0.521579 0.853203i \(-0.325343\pi\)
−0.341862 + 0.939750i \(0.611057\pi\)
\(192\) −22.8215 + 10.9902i −1.64700 + 0.793152i
\(193\) −4.38009 19.1904i −0.315286 1.38136i −0.845718 0.533630i \(-0.820828\pi\)
0.530433 0.847727i \(-0.322030\pi\)
\(194\) −1.70930 7.48895i −0.122721 0.537675i
\(195\) −24.1136 + 11.6125i −1.72681 + 0.831587i
\(196\) 12.1027 + 5.82837i 0.864481 + 0.416312i
\(197\) 2.37372 + 10.4000i 0.169121 + 0.740967i 0.986351 + 0.164655i \(0.0526512\pi\)
−0.817230 + 0.576311i \(0.804492\pi\)
\(198\) −2.76034 3.46136i −0.196169 0.245988i
\(199\) 12.2284 + 15.3339i 0.866845 + 1.08699i 0.995449 + 0.0952934i \(0.0303789\pi\)
−0.128604 + 0.991696i \(0.541050\pi\)
\(200\) −39.1040 18.8315i −2.76507 1.33159i
\(201\) −2.61250 + 11.4461i −0.184272 + 0.807347i
\(202\) 2.70992 3.39813i 0.190669 0.239092i
\(203\) −2.85466 + 12.5071i −0.200358 + 0.877826i
\(204\) 8.31508 4.00433i 0.582172 0.280359i
\(205\) −22.2026 27.8412i −1.55070 1.94452i
\(206\) 7.26055 3.49650i 0.505867 0.243613i
\(207\) 8.43820 10.5812i 0.586495 0.735442i
\(208\) 7.49662 0.519797
\(209\) −4.51879 −0.312571
\(210\) 26.5054 33.2367i 1.82905 2.29355i
\(211\) 2.12013 + 1.02100i 0.145956 + 0.0702886i 0.505436 0.862864i \(-0.331332\pi\)
−0.359480 + 0.933153i \(0.617046\pi\)
\(212\) 8.31331 + 36.4230i 0.570960 + 2.50154i
\(213\) 6.97212 30.5469i 0.477722 2.09304i
\(214\) −16.0451 −1.09682
\(215\) −25.1970 + 4.36074i −1.71842 + 0.297400i
\(216\) 0.0803103 0.00546442
\(217\) −1.22664 + 5.37425i −0.0832695 + 0.364828i
\(218\) −2.76128 12.0980i −0.187018 0.819378i
\(219\) −12.2783 5.91290i −0.829689 0.399557i
\(220\) 5.64611 7.08000i 0.380661 0.477333i
\(221\) 2.80370 0.188598
\(222\) −59.8922 −4.01970
\(223\) −6.72627 + 8.43448i −0.450425 + 0.564814i −0.954257 0.298987i \(-0.903351\pi\)
0.503833 + 0.863801i \(0.331923\pi\)
\(224\) 3.47670 1.67429i 0.232297 0.111868i
\(225\) 19.0430 + 23.8791i 1.26953 + 1.59194i
\(226\) −33.0852 + 15.9330i −2.20079 + 1.05985i
\(227\) −3.26585 + 14.3086i −0.216762 + 0.949696i 0.743090 + 0.669191i \(0.233359\pi\)
−0.959852 + 0.280505i \(0.909498\pi\)
\(228\) −42.2155 + 52.9366i −2.79579 + 3.50581i
\(229\) −2.30492 + 10.0985i −0.152313 + 0.667328i 0.839896 + 0.542747i \(0.182616\pi\)
−0.992209 + 0.124581i \(0.960241\pi\)
\(230\) 38.1720 + 18.3827i 2.51699 + 1.21212i
\(231\) 1.74282 + 2.18543i 0.114669 + 0.143791i
\(232\) 18.3455 + 23.0046i 1.20444 + 1.51032i
\(233\) 2.23237 + 9.78065i 0.146247 + 0.640752i 0.993908 + 0.110213i \(0.0351533\pi\)
−0.847661 + 0.530539i \(0.821990\pi\)
\(234\) −18.1568 8.74385i −1.18695 0.571603i
\(235\) −6.39592 + 3.08011i −0.417224 + 0.200925i
\(236\) −1.27743 5.59678i −0.0831536 0.364320i
\(237\) 3.73478 + 16.3631i 0.242600 + 1.06290i
\(238\) −4.01232 + 1.93223i −0.260080 + 0.125248i
\(239\) −16.7199 8.05189i −1.08152 0.520834i −0.193719 0.981057i \(-0.562055\pi\)
−0.887803 + 0.460223i \(0.847769\pi\)
\(240\) −5.67968 24.8843i −0.366622 1.60627i
\(241\) 11.5688 + 14.5068i 0.745211 + 0.934465i 0.999466 0.0326724i \(-0.0104018\pi\)
−0.254255 + 0.967137i \(0.581830\pi\)
\(242\) −15.9065 19.9461i −1.02251 1.28218i
\(243\) −19.8493 9.55893i −1.27333 0.613206i
\(244\) −2.14219 + 9.38553i −0.137139 + 0.600847i
\(245\) 8.66294 10.8630i 0.553455 0.694011i
\(246\) 11.9485 52.3498i 0.761809 3.33770i
\(247\) −18.5322 + 8.92466i −1.17918 + 0.567862i
\(248\) 7.88300 + 9.88497i 0.500571 + 0.627696i
\(249\) −3.50322 + 1.68706i −0.222008 + 0.106913i
\(250\) −30.4118 + 38.1352i −1.92341 + 2.41188i
\(251\) 5.49184 0.346642 0.173321 0.984865i \(-0.444550\pi\)
0.173321 + 0.984865i \(0.444550\pi\)
\(252\) 20.9149 1.31751
\(253\) −1.73693 + 2.17804i −0.109200 + 0.136933i
\(254\) −7.63114 3.67497i −0.478821 0.230588i
\(255\) −2.12417 9.30662i −0.133021 0.582803i
\(256\) 6.45582 28.2848i 0.403489 1.76780i
\(257\) 3.98277 0.248438 0.124219 0.992255i \(-0.460357\pi\)
0.124219 + 0.992255i \(0.460357\pi\)
\(258\) −28.8299 25.6052i −1.79487 1.59411i
\(259\) 18.8830 1.17333
\(260\) 9.17248 40.1873i 0.568853 2.49231i
\(261\) −4.60751 20.1868i −0.285198 1.24953i
\(262\) 45.2618 + 21.7969i 2.79628 + 1.34662i
\(263\) 7.78739 9.76508i 0.480191 0.602141i −0.481443 0.876478i \(-0.659887\pi\)
0.961634 + 0.274337i \(0.0884584\pi\)
\(264\) 6.41122 0.394584
\(265\) 38.6425 2.37379
\(266\) 20.3705 25.5437i 1.24899 1.56619i
\(267\) 22.9234 11.0393i 1.40289 0.675595i
\(268\) −11.2740 14.1372i −0.688671 0.863567i
\(269\) 21.7452 10.4719i 1.32583 0.638485i 0.369078 0.929398i \(-0.379673\pi\)
0.956749 + 0.290913i \(0.0939591\pi\)
\(270\) 0.0393687 0.172485i 0.00239590 0.0104971i
\(271\) −7.99151 + 10.0210i −0.485450 + 0.608735i −0.962878 0.269936i \(-0.912998\pi\)
0.477428 + 0.878671i \(0.341569\pi\)
\(272\) −0.594982 + 2.60679i −0.0360761 + 0.158060i
\(273\) 11.4638 + 5.52069i 0.693822 + 0.334127i
\(274\) 14.0392 + 17.6046i 0.848138 + 1.06353i
\(275\) −3.91984 4.91532i −0.236375 0.296405i
\(276\) 9.28849 + 40.6955i 0.559101 + 2.44958i
\(277\) −24.8917 11.9872i −1.49560 0.720243i −0.505793 0.862655i \(-0.668800\pi\)
−0.989807 + 0.142412i \(0.954514\pi\)
\(278\) −7.14214 + 3.43947i −0.428357 + 0.206286i
\(279\) −1.97983 8.67420i −0.118529 0.519311i
\(280\) 6.84059 + 29.9706i 0.408804 + 1.79109i
\(281\) 25.7704 12.4104i 1.53734 0.740342i 0.542331 0.840165i \(-0.317542\pi\)
0.995005 + 0.0998232i \(0.0318277\pi\)
\(282\) −9.64430 4.64445i −0.574309 0.276573i
\(283\) 0.923109 + 4.04440i 0.0548731 + 0.240415i 0.994925 0.100616i \(-0.0320812\pi\)
−0.940052 + 0.341030i \(0.889224\pi\)
\(284\) 30.0876 + 37.7287i 1.78537 + 2.23879i
\(285\) 43.6651 + 54.7543i 2.58650 + 3.24337i
\(286\) 3.73742 + 1.79985i 0.220999 + 0.106427i
\(287\) −3.76716 + 16.5050i −0.222369 + 0.974260i
\(288\) −3.88328 + 4.86948i −0.228825 + 0.286937i
\(289\) −0.222521 + 0.974928i −0.0130895 + 0.0573487i
\(290\) 58.4009 28.1244i 3.42942 1.65152i
\(291\) −4.88068 6.12017i −0.286110 0.358771i
\(292\) 18.9104 9.10679i 1.10665 0.532934i
\(293\) −8.38554 + 10.5151i −0.489889 + 0.614301i −0.963915 0.266210i \(-0.914229\pi\)
0.474026 + 0.880511i \(0.342800\pi\)
\(294\) 20.9509 1.22188
\(295\) −5.93784 −0.345714
\(296\) 27.0033 33.8611i 1.56954 1.96814i
\(297\) 0.0104811 + 0.00504745i 0.000608178 + 0.000292883i
\(298\) 11.9785 + 52.4811i 0.693894 + 3.04015i
\(299\) −2.82176 + 12.3629i −0.163187 + 0.714968i
\(300\) −94.2018 −5.43874
\(301\) 9.08957 + 8.07290i 0.523914 + 0.465314i
\(302\) 15.6372 0.899821
\(303\) 0.985598 4.31819i 0.0566211 0.248073i
\(304\) −4.36506 19.1246i −0.250353 1.09687i
\(305\) 8.97137 + 4.32038i 0.513699 + 0.247385i
\(306\) 4.48153 5.61966i 0.256192 0.321255i
\(307\) 16.7420 0.955517 0.477759 0.878491i \(-0.341449\pi\)
0.477759 + 0.878491i \(0.341449\pi\)
\(308\) −4.30515 −0.245309
\(309\) 5.12025 6.42059i 0.291281 0.365255i
\(310\) 25.0946 12.0849i 1.42528 0.686379i
\(311\) −16.9175 21.2138i −0.959301 1.20292i −0.979153 0.203122i \(-0.934891\pi\)
0.0198528 0.999803i \(-0.493680\pi\)
\(312\) 26.2934 12.6622i 1.48857 0.716858i
\(313\) 6.42013 28.1284i 0.362887 1.58991i −0.382940 0.923773i \(-0.625089\pi\)
0.745827 0.666139i \(-0.232054\pi\)
\(314\) −5.86198 + 7.35069i −0.330811 + 0.414824i
\(315\) 4.81380 21.0906i 0.271227 1.18832i
\(316\) −23.2899 11.2158i −1.31016 0.630940i
\(317\) 20.6586 + 25.9051i 1.16030 + 1.45497i 0.866548 + 0.499093i \(0.166333\pi\)
0.293754 + 0.955881i \(0.405095\pi\)
\(318\) 36.3297 + 45.5560i 2.03727 + 2.55466i
\(319\) 0.948418 + 4.15529i 0.0531012 + 0.232652i
\(320\) −36.3555 17.5079i −2.03234 0.978721i
\(321\) −14.7317 + 7.09442i −0.822244 + 0.395972i
\(322\) −4.48202 19.6370i −0.249773 1.09433i
\(323\) −1.63251 7.15251i −0.0908355 0.397976i
\(324\) 30.6497 14.7601i 1.70276 0.820005i
\(325\) −25.7836 12.4167i −1.43022 0.688757i
\(326\) −4.33862 19.0087i −0.240294 1.05280i
\(327\) −7.88445 9.88679i −0.436011 0.546741i
\(328\) 24.2097 + 30.3580i 1.33676 + 1.67624i
\(329\) 3.04068 + 1.46432i 0.167638 + 0.0807304i
\(330\) 3.14283 13.7696i 0.173007 0.757993i
\(331\) 20.6313 25.8708i 1.13400 1.42199i 0.241813 0.970323i \(-0.422258\pi\)
0.892186 0.451667i \(-0.149171\pi\)
\(332\) 1.33258 5.83841i 0.0731348 0.320424i
\(333\) −27.4595 + 13.2238i −1.50477 + 0.724659i
\(334\) −34.0263 42.6676i −1.86184 2.33467i
\(335\) −16.8509 + 8.11495i −0.920662 + 0.443367i
\(336\) −7.56572 + 9.48711i −0.412744 + 0.517564i
\(337\) 29.7255 1.61925 0.809624 0.586948i \(-0.199671\pi\)
0.809624 + 0.586948i \(0.199671\pi\)
\(338\) −12.3451 −0.671483
\(339\) −23.3322 + 29.2576i −1.26723 + 1.58906i
\(340\) 13.2463 + 6.37907i 0.718380 + 0.345954i
\(341\) 0.407531 + 1.78551i 0.0220691 + 0.0966909i
\(342\) −11.7342 + 51.4109i −0.634514 + 2.77999i
\(343\) −19.5829 −1.05738
\(344\) 27.4748 4.75495i 1.48134 0.256369i
\(345\) 43.1754 2.32449
\(346\) 6.30412 27.6201i 0.338911 1.48487i
\(347\) 0.0962622 + 0.421752i 0.00516763 + 0.0226408i 0.977446 0.211186i \(-0.0677324\pi\)
−0.972278 + 0.233826i \(0.924875\pi\)
\(348\) 57.5386 + 27.7091i 3.08439 + 1.48536i
\(349\) −18.5277 + 23.2330i −0.991767 + 1.24364i −0.0219610 + 0.999759i \(0.506991\pi\)
−0.969806 + 0.243878i \(0.921580\pi\)
\(350\) 45.4556 2.42971
\(351\) 0.0529535 0.00282645
\(352\) 0.799341 1.00234i 0.0426050 0.0534250i
\(353\) −9.69434 + 4.66855i −0.515978 + 0.248482i −0.673704 0.739001i \(-0.735298\pi\)
0.157727 + 0.987483i \(0.449584\pi\)
\(354\) −5.58245 7.00018i −0.296704 0.372055i
\(355\) 44.9708 21.6568i 2.38680 1.14942i
\(356\) −8.71974 + 38.2037i −0.462145 + 2.02479i
\(357\) −2.82955 + 3.54814i −0.149755 + 0.187787i
\(358\) −6.83990 + 29.9676i −0.361500 + 1.58383i
\(359\) −3.65007 1.75778i −0.192643 0.0927721i 0.335075 0.942191i \(-0.391238\pi\)
−0.527719 + 0.849419i \(0.676952\pi\)
\(360\) −30.9360 38.7925i −1.63047 2.04454i
\(361\) 21.7121 + 27.2261i 1.14274 + 1.43295i
\(362\) 1.21280 + 5.31363i 0.0637434 + 0.279278i
\(363\) −23.4237 11.2803i −1.22943 0.592061i
\(364\) −17.6561 + 8.50271i −0.925429 + 0.445663i
\(365\) −4.83087 21.1654i −0.252859 1.10785i
\(366\) 3.34108 + 14.6382i 0.174641 + 0.765153i
\(367\) −14.6021 + 7.03200i −0.762224 + 0.367068i −0.774266 0.632860i \(-0.781881\pi\)
0.0120427 + 0.999927i \(0.496167\pi\)
\(368\) −10.8958 5.24716i −0.567985 0.273527i
\(369\) −6.08031 26.6396i −0.316528 1.38680i
\(370\) −59.4876 74.5951i −3.09261 3.87801i
\(371\) −11.4542 14.3631i −0.594670 0.745693i
\(372\) 24.7241 + 11.9065i 1.28188 + 0.617323i
\(373\) 2.56142 11.2223i 0.132625 0.581068i −0.864319 0.502945i \(-0.832250\pi\)
0.996944 0.0781237i \(-0.0248929\pi\)
\(374\) −0.922486 + 1.15676i −0.0477006 + 0.0598147i
\(375\) −11.0608 + 48.4605i −0.571177 + 2.50249i
\(376\) 6.97411 3.35855i 0.359662 0.173204i
\(377\) 12.0963 + 15.1683i 0.622993 + 0.781209i
\(378\) −0.0757806 + 0.0364940i −0.00389773 + 0.00187705i
\(379\) −14.5482 + 18.2429i −0.747291 + 0.937073i −0.999532 0.0305914i \(-0.990261\pi\)
0.252241 + 0.967664i \(0.418832\pi\)
\(380\) −107.862 −5.53322
\(381\) −8.63141 −0.442201
\(382\) −4.12876 + 5.17731i −0.211246 + 0.264894i
\(383\) −1.48862 0.716883i −0.0760651 0.0366310i 0.395464 0.918481i \(-0.370584\pi\)
−0.471530 + 0.881850i \(0.656298\pi\)
\(384\) −11.2718 49.3850i −0.575211 2.52017i
\(385\) −0.990881 + 4.34133i −0.0505000 + 0.221255i
\(386\) 47.2831 2.40665
\(387\) −18.8714 5.37410i −0.959289 0.273181i
\(388\) 12.0563 0.612067
\(389\) −5.97887 + 26.1951i −0.303141 + 1.32815i 0.562217 + 0.826990i \(0.309949\pi\)
−0.865357 + 0.501156i \(0.832908\pi\)
\(390\) −14.3059 62.6785i −0.724410 3.17385i
\(391\) −4.07500 1.96241i −0.206081 0.0992436i
\(392\) −9.44606 + 11.8450i −0.477098 + 0.598262i
\(393\) 51.1946 2.58242
\(394\) −25.6244 −1.29094
\(395\) −16.6706 + 20.9042i −0.838787 + 1.05181i
\(396\) 6.26051 3.01490i 0.314602 0.151505i
\(397\) 11.4905 + 14.4087i 0.576694 + 0.723151i 0.981545 0.191231i \(-0.0612481\pi\)
−0.404851 + 0.914383i \(0.632677\pi\)
\(398\) −42.4466 + 20.4412i −2.12765 + 1.02462i
\(399\) 7.40874 32.4598i 0.370901 1.62502i
\(400\) 17.0163 21.3378i 0.850815 1.06689i
\(401\) −2.20650 + 9.66731i −0.110187 + 0.482763i 0.889480 + 0.456974i \(0.151067\pi\)
−0.999667 + 0.0257885i \(0.991790\pi\)
\(402\) −25.4091 12.2364i −1.26729 0.610296i
\(403\) 5.19775 + 6.51777i 0.258918 + 0.324673i
\(404\) 4.25327 + 5.33343i 0.211608 + 0.265348i
\(405\) −7.82977 34.3045i −0.389065 1.70460i
\(406\) −27.7644 13.3706i −1.37792 0.663573i
\(407\) 5.65231 2.72201i 0.280174 0.134925i
\(408\) 2.31620 + 10.1479i 0.114669 + 0.502397i
\(409\) −0.276569 1.21173i −0.0136754 0.0599160i 0.967630 0.252374i \(-0.0812113\pi\)
−0.981305 + 0.192458i \(0.938354\pi\)
\(410\) 77.0689 37.1144i 3.80616 1.83295i
\(411\) 20.6740 + 9.95607i 1.01977 + 0.491097i
\(412\) 2.81447 + 12.3310i 0.138659 + 0.607506i
\(413\) 1.76005 + 2.20704i 0.0866066 + 0.108601i
\(414\) 20.2695 + 25.4172i 0.996193 + 1.24919i
\(415\) −5.58077 2.68756i −0.273949 0.131927i
\(416\) 1.29858 5.68946i 0.0636683 0.278949i
\(417\) −5.03675 + 6.31588i −0.246651 + 0.309290i
\(418\) 2.41539 10.5825i 0.118141 0.517608i
\(419\) 8.79436 4.23514i 0.429633 0.206900i −0.206554 0.978435i \(-0.566225\pi\)
0.636187 + 0.771535i \(0.280511\pi\)
\(420\) 41.6007 + 52.1656i 2.02991 + 2.54542i
\(421\) 15.3317 7.38337i 0.747223 0.359844i −0.0212090 0.999775i \(-0.506752\pi\)
0.768432 + 0.639931i \(0.221037\pi\)
\(422\) −3.52433 + 4.41937i −0.171562 + 0.215131i
\(423\) −5.44720 −0.264852
\(424\) −42.1358 −2.04629
\(425\) 6.36402 7.98023i 0.308700 0.387098i
\(426\) 67.8107 + 32.6559i 3.28544 + 1.58218i
\(427\) −1.05339 4.61519i −0.0509770 0.223345i
\(428\) 5.60375 24.5516i 0.270868 1.18675i
\(429\) 4.22732 0.204097
\(430\) 3.25596 61.3396i 0.157016 2.95806i
\(431\) −36.4415 −1.75533 −0.877663 0.479279i \(-0.840898\pi\)
−0.877663 + 0.479279i \(0.840898\pi\)
\(432\) −0.0112374 + 0.0492344i −0.000540661 + 0.00236879i
\(433\) 6.41467 + 28.1045i 0.308270 + 1.35062i 0.857301 + 0.514816i \(0.172140\pi\)
−0.549031 + 0.835802i \(0.685003\pi\)
\(434\) −11.9302 5.74530i −0.572670 0.275783i
\(435\) 41.1852 51.6446i 1.97468 2.47617i
\(436\) 19.4763 0.932746
\(437\) 33.1821 1.58731
\(438\) 20.4104 25.5938i 0.975245 1.22292i
\(439\) −1.18511 + 0.570720i −0.0565623 + 0.0272390i −0.461951 0.886905i \(-0.652850\pi\)
0.405389 + 0.914144i \(0.367136\pi\)
\(440\) 6.36792 + 7.98511i 0.303578 + 0.380675i
\(441\) 9.60562 4.62582i 0.457411 0.220277i
\(442\) −1.49864 + 6.56597i −0.0712830 + 0.312311i
\(443\) 12.5981 15.7975i 0.598553 0.750561i −0.386599 0.922248i \(-0.626350\pi\)
0.985152 + 0.171687i \(0.0549217\pi\)
\(444\) 20.9174 91.6450i 0.992695 4.34928i
\(445\) 36.5178 + 17.5861i 1.73111 + 0.833660i
\(446\) −16.1573 20.2606i −0.765070 0.959368i
\(447\) 34.2028 + 42.8890i 1.61774 + 2.02858i
\(448\) 4.26874 + 18.7026i 0.201679 + 0.883613i
\(449\) −2.94896 1.42015i −0.139170 0.0670208i 0.363003 0.931788i \(-0.381752\pi\)
−0.502173 + 0.864767i \(0.667466\pi\)
\(450\) −66.1012 + 31.8327i −3.11604 + 1.50061i
\(451\) 1.25158 + 5.48354i 0.0589347 + 0.258210i
\(452\) −12.8251 56.1905i −0.603242 2.64298i
\(453\) 14.3573 6.91409i 0.674563 0.324852i
\(454\) −31.7636 15.2965i −1.49074 0.717901i
\(455\) 4.51043 + 19.7615i 0.211452 + 0.926432i
\(456\) −47.6124 59.7041i −2.22965 2.79590i
\(457\) 24.3913 + 30.5857i 1.14098 + 1.43074i 0.885934 + 0.463812i \(0.153519\pi\)
0.255044 + 0.966929i \(0.417910\pi\)
\(458\) −22.4176 10.7957i −1.04750 0.504451i
\(459\) −0.00420275 + 0.0184134i −0.000196168 + 0.000859466i
\(460\) −41.4601 + 51.9893i −1.93309 + 2.42402i
\(461\) −1.21455 + 5.32130i −0.0565673 + 0.247838i −0.995304 0.0967973i \(-0.969140\pi\)
0.938737 + 0.344635i \(0.111997\pi\)
\(462\) −6.04962 + 2.91334i −0.281454 + 0.135541i
\(463\) 17.9245 + 22.4766i 0.833022 + 1.04458i 0.998297 + 0.0583287i \(0.0185771\pi\)
−0.165276 + 0.986247i \(0.552851\pi\)
\(464\) −16.6700 + 8.02785i −0.773885 + 0.372684i
\(465\) 17.6971 22.1915i 0.820684 1.02911i
\(466\) −24.0985 −1.11634
\(467\) −11.7438 −0.543437 −0.271718 0.962377i \(-0.587592\pi\)
−0.271718 + 0.962377i \(0.587592\pi\)
\(468\) 19.7208 24.7291i 0.911595 1.14310i
\(469\) 8.01107 + 3.85793i 0.369917 + 0.178143i
\(470\) −3.79453 16.6249i −0.175029 0.766851i
\(471\) −2.13200 + 9.34092i −0.0982376 + 0.430407i
\(472\) 6.47461 0.298018
\(473\) 3.88453 + 1.10621i 0.178611 + 0.0508638i
\(474\) −40.3170 −1.85182
\(475\) −16.6632 + 73.0064i −0.764561 + 3.34976i
\(476\) −1.55533 6.81435i −0.0712885 0.312335i
\(477\) 26.7150 + 12.8653i 1.22320 + 0.589060i
\(478\) 27.7938 34.8523i 1.27126 1.59411i
\(479\) −9.60397 −0.438817 −0.219408 0.975633i \(-0.570413\pi\)
−0.219408 + 0.975633i \(0.570413\pi\)
\(480\) −19.8695 −0.906912
\(481\) 17.8050 22.3267i 0.811836 1.01801i
\(482\) −40.1571 + 19.3386i −1.82911 + 0.880851i
\(483\) −12.7978 16.0479i −0.582319 0.730204i
\(484\) 36.0762 17.3734i 1.63983 0.789698i
\(485\) 2.77491 12.1577i 0.126002 0.552051i
\(486\) 32.9959 41.3755i 1.49672 1.87683i
\(487\) 0.749215 3.28253i 0.0339502 0.148745i −0.955112 0.296245i \(-0.904265\pi\)
0.989062 + 0.147500i \(0.0471226\pi\)
\(488\) −9.78237 4.71094i −0.442827 0.213254i
\(489\) −12.3883 15.5345i −0.560219 0.702493i
\(490\) 20.8094 + 26.0942i 0.940073 + 1.17881i
\(491\) 8.01562 + 35.1187i 0.361740 + 1.58489i 0.748777 + 0.662822i \(0.230641\pi\)
−0.387037 + 0.922064i \(0.626502\pi\)
\(492\) 75.9309 + 36.5664i 3.42323 + 1.64854i
\(493\) −6.23451 + 3.00238i −0.280788 + 0.135220i
\(494\) −10.9947 48.1709i −0.494675 2.16731i
\(495\) −1.59931 7.00704i −0.0718837 0.314943i
\(496\) −7.16303 + 3.44953i −0.321630 + 0.154889i
\(497\) −21.3796 10.2959i −0.959005 0.461832i
\(498\) −2.07837 9.10593i −0.0931339 0.408046i
\(499\) −0.661334 0.829287i −0.0296054 0.0371240i 0.766808 0.641876i \(-0.221844\pi\)
−0.796414 + 0.604752i \(0.793272\pi\)
\(500\) −47.7319 59.8540i −2.13464 2.67675i
\(501\) −50.1069 24.1302i −2.23861 1.07806i
\(502\) −2.93550 + 12.8613i −0.131018 + 0.574027i
\(503\) −15.5486 + 19.4973i −0.693278 + 0.869343i −0.996501 0.0835766i \(-0.973366\pi\)
0.303224 + 0.952919i \(0.401937\pi\)
\(504\) −5.24896 + 22.9972i −0.233807 + 1.02438i
\(505\) 6.35719 3.06146i 0.282891 0.136233i
\(506\) −4.17232 5.23192i −0.185482 0.232587i
\(507\) −11.3346 + 5.45844i −0.503386 + 0.242418i
\(508\) 8.28849 10.3934i 0.367742 0.461135i
\(509\) −16.4297 −0.728234 −0.364117 0.931353i \(-0.618629\pi\)
−0.364117 + 0.931353i \(0.618629\pi\)
\(510\) 22.9305 1.01538
\(511\) −6.43505 + 8.06930i −0.284670 + 0.356965i
\(512\) 25.5014 + 12.2808i 1.12702 + 0.542742i
\(513\) −0.0308333 0.135089i −0.00136132 0.00596434i
\(514\) −2.12888 + 9.32722i −0.0939007 + 0.411406i
\(515\) 13.0824 0.576481
\(516\) 49.2492 35.1719i 2.16807 1.54835i
\(517\) 1.12126 0.0493130
\(518\) −10.0934 + 44.2219i −0.443477 + 1.94300i
\(519\) −6.42431 28.1467i −0.281996 1.23550i
\(520\) 41.8865 + 20.1715i 1.83684 + 0.884577i
\(521\) −25.5930 + 32.0926i −1.12125 + 1.40600i −0.218497 + 0.975838i \(0.570115\pi\)
−0.902751 + 0.430163i \(0.858456\pi\)
\(522\) 49.7382 2.17698
\(523\) −20.7768 −0.908507 −0.454254 0.890872i \(-0.650094\pi\)
−0.454254 + 0.890872i \(0.650094\pi\)
\(524\) −49.1607 + 61.6455i −2.14759 + 2.69300i
\(525\) 41.7349 20.0985i 1.82146 0.877170i
\(526\) 18.7062 + 23.4569i 0.815630 + 1.02277i
\(527\) −2.67894 + 1.29011i −0.116697 + 0.0561981i
\(528\) −0.897091 + 3.93041i −0.0390409 + 0.171049i
\(529\) −1.58575 + 1.98846i −0.0689455 + 0.0864549i
\(530\) −20.6553 + 90.4966i −0.897207 + 3.93092i
\(531\) −4.10505 1.97689i −0.178144 0.0857895i
\(532\) 31.9718 + 40.0914i 1.38615 + 1.73818i
\(533\) 15.9630 + 20.0169i 0.691433 + 0.867029i
\(534\) 13.5998 + 59.5847i 0.588522 + 2.57848i
\(535\) −23.4682 11.3017i −1.01462 0.488615i
\(536\) 18.3742 8.84854i 0.793643 0.382199i
\(537\) 6.97030 + 30.5389i 0.300791 + 1.31785i
\(538\) 12.9009 + 56.5224i 0.556195 + 2.43685i
\(539\) −1.97724 + 0.952188i −0.0851657 + 0.0410136i
\(540\) 0.250182 + 0.120481i 0.0107661 + 0.00518469i
\(541\) 0.234538 + 1.02758i 0.0100836 + 0.0441791i 0.979719 0.200374i \(-0.0642158\pi\)
−0.969636 + 0.244553i \(0.921359\pi\)
\(542\) −19.1966 24.0717i −0.824562 1.03397i
\(543\) 3.46298 + 4.34244i 0.148611 + 0.186352i
\(544\) 1.87532 + 0.903109i 0.0804039 + 0.0387205i
\(545\) 4.48270 19.6400i 0.192018 0.841285i
\(546\) −19.0565 + 23.8961i −0.815543 + 1.02266i
\(547\) 9.77942 42.8464i 0.418138 1.83198i −0.124766 0.992186i \(-0.539818\pi\)
0.542904 0.839795i \(-0.317325\pi\)
\(548\) −31.8411 + 15.3339i −1.36019 + 0.655031i
\(549\) 4.76385 + 5.97368i 0.203316 + 0.254950i
\(550\) 13.6064 6.55249i 0.580178 0.279399i
\(551\) 31.6525 39.6910i 1.34844 1.69089i
\(552\) −47.0784 −2.00379
\(553\) 12.7113 0.540538
\(554\) 41.3780 51.8863i 1.75798 2.20444i
\(555\) −87.6009 42.1864i −3.71845 1.79071i
\(556\) −2.76857 12.1299i −0.117414 0.514423i
\(557\) 1.09950 4.81723i 0.0465873 0.204112i −0.946278 0.323355i \(-0.895189\pi\)
0.992865 + 0.119242i \(0.0380465\pi\)
\(558\) 21.3723 0.904761
\(559\) 18.1158 3.13523i 0.766217 0.132606i
\(560\) −19.3307 −0.816872
\(561\) −0.335508 + 1.46996i −0.0141652 + 0.0620617i
\(562\) 15.2889 + 66.9852i 0.644925 + 2.82560i
\(563\) −39.2753 18.9140i −1.65526 0.797129i −0.999096 0.0425071i \(-0.986466\pi\)
−0.656160 0.754622i \(-0.727820\pi\)
\(564\) 10.4751 13.1353i 0.441080 0.553096i
\(565\) −59.6146 −2.50801
\(566\) −9.96498 −0.418859
\(567\) −10.4298 + 13.0785i −0.438010 + 0.549247i
\(568\) −49.0361 + 23.6146i −2.05751 + 0.990845i
\(569\) 8.26172 + 10.3599i 0.346349 + 0.434308i 0.924244 0.381803i \(-0.124697\pi\)
−0.577894 + 0.816112i \(0.696125\pi\)
\(570\) −151.569 + 72.9916i −6.34851 + 3.05728i
\(571\) 4.50497 19.7376i 0.188527 0.825991i −0.788867 0.614564i \(-0.789332\pi\)
0.977394 0.211427i \(-0.0678110\pi\)
\(572\) −4.05937 + 5.09029i −0.169731 + 0.212836i
\(573\) −1.50163 + 6.57908i −0.0627316 + 0.274845i
\(574\) −36.6393 17.6446i −1.52930 0.736470i
\(575\) 28.7839 + 36.0938i 1.20037 + 1.50522i
\(576\) −19.3050 24.2077i −0.804375 1.00865i
\(577\) 1.45231 + 6.36299i 0.0604605 + 0.264895i 0.996120 0.0880106i \(-0.0280509\pi\)
−0.935659 + 0.352905i \(0.885194\pi\)
\(578\) −2.16423 1.04224i −0.0900202 0.0433515i
\(579\) 43.4128 20.9065i 1.80418 0.868845i
\(580\) 22.6385 + 99.1857i 0.940012 + 4.11846i
\(581\) 0.655275 + 2.87095i 0.0271854 + 0.119107i
\(582\) 16.9416 8.15865i 0.702252 0.338187i
\(583\) −5.49906 2.64821i −0.227748 0.109678i
\(584\) 5.26757 + 23.0787i 0.217974 + 0.955005i
\(585\) −20.3980 25.5783i −0.843353 1.05753i
\(586\) −20.1431 25.2586i −0.832102 1.04342i
\(587\) −5.42679 2.61340i −0.223988 0.107867i 0.318525 0.947915i \(-0.396813\pi\)
−0.542512 + 0.840048i \(0.682527\pi\)
\(588\) −7.31713 + 32.0584i −0.301753 + 1.32207i
\(589\) 13.6009 17.0550i 0.560417 0.702741i
\(590\) 3.17390 13.9058i 0.130668 0.572492i
\(591\) −23.5269 + 11.3300i −0.967769 + 0.466053i
\(592\) 16.9802 + 21.2925i 0.697881 + 0.875115i
\(593\) 11.5225 5.54895i 0.473173 0.227868i −0.182071 0.983285i \(-0.558280\pi\)
0.655244 + 0.755417i \(0.272566\pi\)
\(594\) −0.0174230 + 0.0218477i −0.000714874 + 0.000896423i
\(595\) −7.22960 −0.296385
\(596\) −84.4883 −3.46078
\(597\) −29.9340 + 37.5360i −1.22512 + 1.53625i
\(598\) −27.4444 13.2165i −1.12228 0.540464i
\(599\) −2.75326 12.0628i −0.112495 0.492873i −0.999515 0.0311421i \(-0.990086\pi\)
0.887020 0.461731i \(-0.152772\pi\)
\(600\) 23.6417 103.581i 0.965167 4.22867i
\(601\) 39.5411 1.61292 0.806458 0.591291i \(-0.201381\pi\)
0.806458 + 0.591291i \(0.201381\pi\)
\(602\) −23.7644 + 16.9716i −0.968566 + 0.691712i
\(603\) −14.3513 −0.584432
\(604\) −5.46131 + 23.9276i −0.222218 + 0.973599i
\(605\) −9.21603 40.3781i −0.374685 1.64160i
\(606\) 9.58590 + 4.61632i 0.389400 + 0.187525i
\(607\) 21.6110 27.0993i 0.877163 1.09993i −0.117116 0.993118i \(-0.537365\pi\)
0.994279 0.106810i \(-0.0340637\pi\)
\(608\) −15.2705 −0.619300
\(609\) −31.4036 −1.27254
\(610\) −14.9133 + 18.7006i −0.603820 + 0.757167i
\(611\) 4.59846 2.21450i 0.186034 0.0895891i
\(612\) 7.03385 + 8.82016i 0.284326 + 0.356534i
\(613\) −33.5959 + 16.1789i −1.35693 + 0.653461i −0.963949 0.266088i \(-0.914269\pi\)
−0.392976 + 0.919549i \(0.628555\pi\)
\(614\) −8.94896 + 39.2080i −0.361151 + 1.58231i
\(615\) 54.3502 68.1530i 2.19161 2.74819i
\(616\) 1.08046 4.73379i 0.0435328 0.190730i
\(617\) −3.59989 1.73361i −0.144926 0.0697927i 0.360015 0.932946i \(-0.382772\pi\)
−0.504941 + 0.863154i \(0.668486\pi\)
\(618\) 12.2994 + 15.4230i 0.494756 + 0.620405i
\(619\) −4.36616 5.47499i −0.175491 0.220058i 0.686305 0.727314i \(-0.259232\pi\)
−0.861796 + 0.507255i \(0.830660\pi\)
\(620\) 9.72766 + 42.6197i 0.390672 + 1.71165i
\(621\) −0.0769644 0.0370641i −0.00308847 0.00148733i
\(622\) 58.7232 28.2796i 2.35458 1.13391i
\(623\) −4.28780 18.7861i −0.171787 0.752648i
\(624\) 4.08350 + 17.8910i 0.163471 + 0.716212i
\(625\) −25.3617 + 12.2136i −1.01447 + 0.488542i
\(626\) 62.4420 + 30.0705i 2.49568 + 1.20186i
\(627\) −2.46144 10.7843i −0.0983005 0.430682i
\(628\) −9.20049 11.5370i −0.367139 0.460378i
\(629\) 6.35051 + 7.96329i 0.253212 + 0.317517i
\(630\) 46.8189 + 22.5468i 1.86531 + 0.898286i
\(631\) −9.60602 + 42.0867i −0.382410 + 1.67545i 0.307498 + 0.951549i \(0.400508\pi\)
−0.689907 + 0.723898i \(0.742349\pi\)
\(632\) 18.1776 22.7939i 0.723064 0.906694i
\(633\) −1.28180 + 5.61593i −0.0509469 + 0.223213i
\(634\) −71.7093 + 34.5334i −2.84794 + 1.37150i
\(635\) −8.57311 10.7503i −0.340213 0.426614i
\(636\) −82.3965 + 39.6801i −3.26724 + 1.57342i
\(637\) −6.22837 + 7.81013i −0.246777 + 0.309449i
\(638\) −10.2382 −0.405334
\(639\) 38.3002 1.51513
\(640\) 50.3128 63.0903i 1.98879 2.49386i
\(641\) 31.4255 + 15.1337i 1.24123 + 0.597747i 0.935148 0.354257i \(-0.115266\pi\)
0.306086 + 0.952004i \(0.400981\pi\)
\(642\) −8.73994 38.2922i −0.344938 1.51127i
\(643\) 9.21078 40.3551i 0.363238 1.59145i −0.381681 0.924294i \(-0.624655\pi\)
0.744919 0.667155i \(-0.232488\pi\)
\(644\) 31.6133 1.24574
\(645\) −24.1322 57.7583i −0.950204 2.27423i
\(646\) 17.6230 0.693368
\(647\) −0.155205 + 0.679999i −0.00610175 + 0.0267335i −0.977887 0.209133i \(-0.932936\pi\)
0.971785 + 0.235867i \(0.0757929\pi\)
\(648\) 8.53758 + 37.4056i 0.335388 + 1.46943i
\(649\) 0.844990 + 0.406926i 0.0331687 + 0.0159732i
\(650\) 42.8606 53.7455i 1.68113 2.10807i
\(651\) −13.4940 −0.528872
\(652\) 30.6018 1.19846
\(653\) 20.2562 25.4005i 0.792686 0.993997i −0.207191 0.978301i \(-0.566432\pi\)
0.999877 0.0156962i \(-0.00499646\pi\)
\(654\) 27.3682 13.1798i 1.07018 0.515372i
\(655\) 50.8488 + 63.7623i 1.98683 + 2.49140i
\(656\) −21.9986 + 10.5940i −0.858901 + 0.413625i
\(657\) 3.70685 16.2408i 0.144618 0.633613i
\(658\) −5.05458 + 6.33824i −0.197048 + 0.247090i
\(659\) 3.02282 13.2438i 0.117752 0.515906i −0.881307 0.472544i \(-0.843336\pi\)
0.999059 0.0433625i \(-0.0138071\pi\)
\(660\) 19.9722 + 9.61811i 0.777417 + 0.374384i
\(661\) 9.91591 + 12.4342i 0.385684 + 0.483632i 0.936337 0.351102i \(-0.114193\pi\)
−0.550653 + 0.834734i \(0.685621\pi\)
\(662\) 49.5588 + 62.1448i 1.92616 + 2.41533i
\(663\) 1.52721 + 6.69115i 0.0593120 + 0.259863i
\(664\) 6.08527 + 2.93051i 0.236154 + 0.113726i
\(665\) 47.7871 23.0130i 1.85310 0.892407i
\(666\) −16.2910 71.3755i −0.631263 2.76574i
\(667\) −6.96435 30.5128i −0.269661 1.18146i
\(668\) 77.1724 37.1642i 2.98589 1.43793i
\(669\) −23.7931 11.4582i −0.919895 0.442998i
\(670\) −9.99719 43.8005i −0.386225 1.69216i
\(671\) −0.980599 1.22963i −0.0378556 0.0474694i
\(672\) 5.88957 + 7.38528i 0.227195 + 0.284894i
\(673\) −8.69455 4.18708i −0.335150 0.161400i 0.258738 0.965948i \(-0.416693\pi\)
−0.593888 + 0.804548i \(0.702408\pi\)
\(674\) −15.8889 + 69.6138i −0.612017 + 2.68142i
\(675\) 0.120197 0.150722i 0.00462639 0.00580131i
\(676\) 4.31152 18.8900i 0.165828 0.726539i
\(677\) −39.6987 + 19.1179i −1.52575 + 0.734761i −0.993712 0.111962i \(-0.964287\pi\)
−0.532034 + 0.846723i \(0.678572\pi\)
\(678\) −56.0466 70.2802i −2.15246 2.69910i
\(679\) −5.34140 + 2.57228i −0.204984 + 0.0987152i
\(680\) −10.3386 + 12.9642i −0.396467 + 0.497153i
\(681\) −35.9270 −1.37673
\(682\) −4.39931 −0.168458
\(683\) 23.4468 29.4013i 0.897166 1.12501i −0.0944159 0.995533i \(-0.530098\pi\)
0.991582 0.129478i \(-0.0413302\pi\)
\(684\) −74.5692 35.9106i −2.85122 1.37308i
\(685\) 8.13415 + 35.6380i 0.310790 + 1.36166i
\(686\) 10.4675 45.8611i 0.399651 1.75098i
\(687\) −25.3560 −0.967391
\(688\) −0.929384 + 17.5088i −0.0354324 + 0.667517i
\(689\) −27.7827 −1.05844
\(690\) −23.0782 + 101.112i −0.878572 + 3.84928i
\(691\) 8.51977 + 37.3276i 0.324107 + 1.42001i 0.830170 + 0.557511i \(0.188243\pi\)
−0.506062 + 0.862497i \(0.668899\pi\)
\(692\) 40.0617 + 19.2927i 1.52292 + 0.733399i
\(693\) −2.13039 + 2.67143i −0.0809269 + 0.101479i
\(694\) −1.03915 −0.0394457
\(695\) −12.8691 −0.488152
\(696\) −44.9083 + 56.3132i −1.70224 + 2.13455i
\(697\) −8.22739 + 3.96210i −0.311634 + 0.150075i
\(698\) −44.5058 55.8085i −1.68457 2.11238i
\(699\) −22.1259 + 10.6553i −0.836879 + 0.403020i
\(700\) −15.8754 + 69.5547i −0.600034 + 2.62892i
\(701\) 7.69848 9.65358i 0.290767 0.364611i −0.614896 0.788608i \(-0.710802\pi\)
0.905663 + 0.423997i \(0.139373\pi\)
\(702\) −0.0283048 + 0.124011i −0.00106830 + 0.00468051i
\(703\) −67.3248 32.4219i −2.53920 1.22282i
\(704\) 3.97377 + 4.98295i 0.149767 + 0.187802i
\(705\) −10.8348 13.5864i −0.408060 0.511692i
\(706\) −5.75140 25.1985i −0.216457 0.948359i
\(707\) −3.02227 1.45545i −0.113664 0.0547378i
\(708\) 12.6611 6.09727i 0.475834 0.229150i
\(709\) −9.18447 40.2398i −0.344930 1.51124i −0.788521 0.615008i \(-0.789153\pi\)
0.443591 0.896229i \(-0.353704\pi\)
\(710\) 26.6800 + 116.893i 1.00128 + 4.38691i
\(711\) −18.4846 + 8.90172i −0.693227 + 0.333841i
\(712\) −39.8190 19.1758i −1.49228 0.718644i
\(713\) −2.99255 13.1112i −0.112072 0.491020i
\(714\) −6.79690 8.52305i −0.254368 0.318967i
\(715\) 4.19876 + 5.26508i 0.157025 + 0.196903i
\(716\) −43.4665 20.9324i −1.62442 0.782280i
\(717\) 10.1086 44.2887i 0.377513 1.65399i
\(718\) 6.06757 7.60849i 0.226440 0.283947i
\(719\) −7.58258 + 33.2215i −0.282783 + 1.23895i 0.611426 + 0.791301i \(0.290596\pi\)
−0.894209 + 0.447650i \(0.852261\pi\)
\(720\) 28.1105 13.5373i 1.04762 0.504506i
\(721\) −3.87781 4.86262i −0.144417 0.181093i
\(722\) −75.3662 + 36.2944i −2.80484 + 1.35074i
\(723\) −28.3194 + 35.5114i −1.05321 + 1.32068i
\(724\) −8.55432 −0.317919
\(725\) 70.6309 2.62317
\(726\) 38.9376 48.8263i 1.44511 1.81211i
\(727\) 33.5827 + 16.1726i 1.24551 + 0.599808i 0.936305 0.351187i \(-0.114222\pi\)
0.309208 + 0.950994i \(0.399936\pi\)
\(728\) −4.91816 21.5479i −0.182279 0.798617i
\(729\) 5.97712 26.1875i 0.221375 0.969907i
\(730\) 52.1493 1.93013
\(731\) −0.347586 + 6.54822i −0.0128559 + 0.242195i
\(732\) −23.5658 −0.871018
\(733\) 4.75111 20.8160i 0.175486 0.768856i −0.808192 0.588919i \(-0.799554\pi\)
0.983678 0.179936i \(-0.0575892\pi\)
\(734\) −8.66305 37.9553i −0.319759 1.40096i
\(735\) 30.6438 + 14.7573i 1.13031 + 0.544330i
\(736\) −5.86967 + 7.36033i −0.216359 + 0.271305i
\(737\) 2.95410 0.108816
\(738\) 65.6371 2.41613
\(739\) 24.6131 30.8639i 0.905409 1.13535i −0.0848895 0.996390i \(-0.527054\pi\)
0.990298 0.138957i \(-0.0443748\pi\)
\(740\) 134.919 64.9736i 4.95972 2.38848i
\(741\) −31.3938 39.3666i −1.15328 1.44617i
\(742\) 39.7592 19.1470i 1.45961 0.702909i
\(743\) −2.58937 + 11.3448i −0.0949946 + 0.416199i −0.999957 0.00929333i \(-0.997042\pi\)
0.904962 + 0.425492i \(0.139899\pi\)
\(744\) −19.2969 + 24.1976i −0.707459 + 0.887126i
\(745\) −19.4460 + 85.1985i −0.712446 + 3.12143i
\(746\) 24.9123 + 11.9971i 0.912103 + 0.439245i
\(747\) −2.96342 3.71601i −0.108426 0.135962i
\(748\) −1.44786 1.81556i −0.0529390 0.0663834i
\(749\) 2.75556 + 12.0729i 0.100686 + 0.441134i
\(750\) −107.577 51.8063i −3.92816 1.89170i
\(751\) −14.4305 + 6.94937i −0.526577 + 0.253586i −0.678233 0.734847i \(-0.737254\pi\)
0.151656 + 0.988433i \(0.451540\pi\)
\(752\) 1.08311 + 4.74544i 0.0394971 + 0.173048i
\(753\) 2.99147 + 13.1065i 0.109015 + 0.477627i
\(754\) −41.9883 + 20.2205i −1.52913 + 0.736388i
\(755\) 22.8717 + 11.0144i 0.832386 + 0.400856i
\(756\) −0.0293755 0.128703i −0.00106838 0.00468086i
\(757\) −10.8835 13.6474i −0.395566 0.496024i 0.543669 0.839300i \(-0.317035\pi\)
−0.939235 + 0.343276i \(0.888463\pi\)
\(758\) −34.9465 43.8215i −1.26931