Properties

Label 280.2.ba.b.19.8
Level $280$
Weight $2$
Character 280.19
Analytic conductor $2.236$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 19.8
Character \(\chi\) \(=\) 280.19
Dual form 280.2.ba.b.59.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.21328 + 0.726608i) q^{2} +(0.0769760 + 0.133326i) q^{3} +(0.944081 - 1.76315i) q^{4} +(-1.85193 + 1.25314i) q^{5} +(-0.190269 - 0.105830i) q^{6} +(-2.33880 - 1.23694i) q^{7} +(0.135691 + 2.82517i) q^{8} +(1.48815 - 2.57755i) q^{9} +O(q^{10})\) \(q+(-1.21328 + 0.726608i) q^{2} +(0.0769760 + 0.133326i) q^{3} +(0.944081 - 1.76315i) q^{4} +(-1.85193 + 1.25314i) q^{5} +(-0.190269 - 0.105830i) q^{6} +(-2.33880 - 1.23694i) q^{7} +(0.135691 + 2.82517i) q^{8} +(1.48815 - 2.57755i) q^{9} +(1.33636 - 2.86603i) q^{10} +(-0.717757 - 1.24319i) q^{11} +(0.307746 - 0.00984967i) q^{12} -1.09056i q^{13} +(3.73638 - 0.198637i) q^{14} +(-0.309630 - 0.150449i) q^{15} +(-2.21742 - 3.32912i) q^{16} +(-1.65673 - 2.86954i) q^{17} +(0.0673323 + 4.20858i) q^{18} +(-3.25444 - 1.87895i) q^{19} +(0.461106 + 4.44830i) q^{20} +(-0.0151144 - 0.407038i) q^{21} +(1.77415 + 0.986807i) q^{22} +(1.01985 - 1.76643i) q^{23} +(-0.366225 + 0.235561i) q^{24} +(1.85928 - 4.64145i) q^{25} +(0.792410 + 1.32315i) q^{26} +0.920063 q^{27} +(-4.38893 + 2.95589i) q^{28} +5.06845i q^{29} +(0.484985 - 0.0424435i) q^{30} +(-4.92434 - 8.52921i) q^{31} +(5.10931 + 2.42795i) q^{32} +(0.110500 - 0.191392i) q^{33} +(4.09510 + 2.27775i) q^{34} +(5.88135 - 0.640111i) q^{35} +(-3.13968 - 5.05725i) q^{36} +(4.33672 - 7.51142i) q^{37} +(5.31381 - 0.0850146i) q^{38} +(0.145400 - 0.0839469i) q^{39} +(-3.79162 - 5.06198i) q^{40} +4.08787i q^{41} +(0.314095 + 0.482868i) q^{42} +2.12207i q^{43} +(-2.86956 + 0.0918426i) q^{44} +(0.474082 + 6.63830i) q^{45} +(0.0461439 + 2.88421i) q^{46} +(-6.16503 - 3.55938i) q^{47} +(0.273171 - 0.551903i) q^{48} +(3.93995 + 5.78591i) q^{49} +(1.11669 + 6.98234i) q^{50} +(0.255057 - 0.441771i) q^{51} +(-1.92283 - 1.02958i) q^{52} +(2.25393 + 3.90392i) q^{53} +(-1.11629 + 0.668525i) q^{54} +(2.88713 + 1.40285i) q^{55} +(3.17722 - 6.77534i) q^{56} -0.578537i q^{57} +(-3.68278 - 6.14943i) q^{58} +(-6.68603 + 3.86018i) q^{59} +(-0.557581 + 0.403890i) q^{60} +(-3.87063 + 6.70413i) q^{61} +(12.1720 + 6.77022i) q^{62} +(-6.66876 + 4.18762i) q^{63} +(-7.96318 + 0.766699i) q^{64} +(1.36662 + 2.01964i) q^{65} +(0.00499965 + 0.312501i) q^{66} +(-11.0249 + 6.36523i) q^{67} +(-6.62352 + 0.211991i) q^{68} +0.314016 q^{69} +(-6.67059 + 5.05007i) q^{70} -5.09964i q^{71} +(7.48395 + 3.85453i) q^{72} +(4.82381 + 8.35508i) q^{73} +(0.196218 + 12.2645i) q^{74} +(0.761948 - 0.109389i) q^{75} +(-6.38535 + 3.96420i) q^{76} +(0.140933 + 3.79540i) q^{77} +(-0.115414 + 0.207500i) q^{78} +(-2.80167 - 1.61754i) q^{79} +(8.27836 + 3.38655i) q^{80} +(-4.39363 - 7.60998i) q^{81} +(-2.97028 - 4.95972i) q^{82} +8.80158 q^{83} +(-0.731940 - 0.357628i) q^{84} +(6.66407 + 3.23807i) q^{85} +(-1.54191 - 2.57466i) q^{86} +(-0.675757 + 0.390149i) q^{87} +(3.41483 - 2.19648i) q^{88} +(9.61481 + 5.55111i) q^{89} +(-5.39864 - 7.70962i) q^{90} +(-1.34896 + 2.55060i) q^{91} +(-2.15167 - 3.46581i) q^{92} +(0.758112 - 1.31309i) q^{93} +(10.0662 - 0.161047i) q^{94} +(8.38159 - 0.598581i) q^{95} +(0.0695853 + 0.868099i) q^{96} -10.0234 q^{97} +(-8.98434 - 4.15711i) q^{98} -4.27252 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 6q^{4} - 52q^{9} + O(q^{10}) \) \( 80q + 6q^{4} - 52q^{9} - 12q^{10} - 6q^{14} + 10q^{16} - 48q^{19} + 12q^{24} - 22q^{25} + 54q^{26} - 20q^{30} - 22q^{35} + 28q^{36} + 12q^{40} + 38q^{44} + 14q^{46} + 16q^{49} - 40q^{50} + 20q^{51} + 60q^{54} - 104q^{56} - 60q^{59} - 42q^{60} - 60q^{64} - 12q^{65} + 84q^{66} - 22q^{70} + 34q^{74} - 6q^{75} - 96q^{80} - 100q^{84} - 8q^{86} - 36q^{89} + 72q^{91} - 66q^{94} + 96q^{96} + 104q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(-1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.21328 + 0.726608i −0.857916 + 0.513790i
\(3\) 0.0769760 + 0.133326i 0.0444421 + 0.0769760i 0.887391 0.461018i \(-0.152516\pi\)
−0.842949 + 0.537994i \(0.819182\pi\)
\(4\) 0.944081 1.76315i 0.472040 0.881577i
\(5\) −1.85193 + 1.25314i −0.828208 + 0.560421i
\(6\) −0.190269 0.105830i −0.0776771 0.0432050i
\(7\) −2.33880 1.23694i −0.883982 0.467520i
\(8\) 0.135691 + 2.82517i 0.0479739 + 0.998849i
\(9\) 1.48815 2.57755i 0.496050 0.859183i
\(10\) 1.33636 2.86603i 0.422595 0.906319i
\(11\) −0.717757 1.24319i −0.216412 0.374836i 0.737297 0.675569i \(-0.236102\pi\)
−0.953708 + 0.300733i \(0.902769\pi\)
\(12\) 0.307746 0.00984967i 0.0888387 0.00284336i
\(13\) 1.09056i 0.302467i −0.988498 0.151234i \(-0.951675\pi\)
0.988498 0.151234i \(-0.0483245\pi\)
\(14\) 3.73638 0.198637i 0.998590 0.0530880i
\(15\) −0.309630 0.150449i −0.0799462 0.0388458i
\(16\) −2.21742 3.32912i −0.554356 0.832280i
\(17\) −1.65673 2.86954i −0.401816 0.695965i 0.592129 0.805843i \(-0.298287\pi\)
−0.993945 + 0.109878i \(0.964954\pi\)
\(18\) 0.0673323 + 4.20858i 0.0158704 + 0.991973i
\(19\) −3.25444 1.87895i −0.746621 0.431062i 0.0778508 0.996965i \(-0.475194\pi\)
−0.824472 + 0.565903i \(0.808528\pi\)
\(20\) 0.461106 + 4.44830i 0.103106 + 0.994670i
\(21\) −0.0151144 0.407038i −0.00329823 0.0888230i
\(22\) 1.77415 + 0.986807i 0.378250 + 0.210388i
\(23\) 1.01985 1.76643i 0.212654 0.368327i −0.739891 0.672727i \(-0.765123\pi\)
0.952544 + 0.304400i \(0.0984561\pi\)
\(24\) −0.366225 + 0.235561i −0.0747553 + 0.0480838i
\(25\) 1.85928 4.64145i 0.371857 0.928290i
\(26\) 0.792410 + 1.32315i 0.155404 + 0.259491i
\(27\) 0.920063 0.177066
\(28\) −4.38893 + 2.95589i −0.829430 + 0.558610i
\(29\) 5.06845i 0.941187i 0.882350 + 0.470593i \(0.155960\pi\)
−0.882350 + 0.470593i \(0.844040\pi\)
\(30\) 0.484985 0.0424435i 0.0885458 0.00774908i
\(31\) −4.92434 8.52921i −0.884438 1.53189i −0.846357 0.532617i \(-0.821209\pi\)
−0.0380811 0.999275i \(-0.512125\pi\)
\(32\) 5.10931 + 2.42795i 0.903207 + 0.429204i
\(33\) 0.110500 0.191392i 0.0192356 0.0333170i
\(34\) 4.09510 + 2.27775i 0.702304 + 0.390631i
\(35\) 5.88135 0.640111i 0.994129 0.108198i
\(36\) −3.13968 5.05725i −0.523281 0.842875i
\(37\) 4.33672 7.51142i 0.712953 1.23487i −0.250791 0.968041i \(-0.580691\pi\)
0.963744 0.266829i \(-0.0859759\pi\)
\(38\) 5.31381 0.0850146i 0.862013 0.0137912i
\(39\) 0.145400 0.0839469i 0.0232827 0.0134423i
\(40\) −3.79162 5.06198i −0.599508 0.800369i
\(41\) 4.08787i 0.638418i 0.947684 + 0.319209i \(0.103417\pi\)
−0.947684 + 0.319209i \(0.896583\pi\)
\(42\) 0.314095 + 0.482868i 0.0484659 + 0.0745081i
\(43\) 2.12207i 0.323612i 0.986823 + 0.161806i \(0.0517319\pi\)
−0.986823 + 0.161806i \(0.948268\pi\)
\(44\) −2.86956 + 0.0918426i −0.432602 + 0.0138458i
\(45\) 0.474082 + 6.63830i 0.0706720 + 0.989579i
\(46\) 0.0461439 + 2.88421i 0.00680354 + 0.425253i
\(47\) −6.16503 3.55938i −0.899262 0.519189i −0.0223012 0.999751i \(-0.507099\pi\)
−0.876961 + 0.480562i \(0.840433\pi\)
\(48\) 0.273171 0.551903i 0.0394288 0.0796603i
\(49\) 3.93995 + 5.78591i 0.562850 + 0.826559i
\(50\) 1.11669 + 6.98234i 0.157924 + 0.987451i
\(51\) 0.255057 0.441771i 0.0357151 0.0618603i
\(52\) −1.92283 1.02958i −0.266648 0.142777i
\(53\) 2.25393 + 3.90392i 0.309601 + 0.536245i 0.978275 0.207311i \(-0.0664711\pi\)
−0.668674 + 0.743556i \(0.733138\pi\)
\(54\) −1.11629 + 0.668525i −0.151908 + 0.0909748i
\(55\) 2.88713 + 1.40285i 0.389300 + 0.189161i
\(56\) 3.17722 6.77534i 0.424574 0.905393i
\(57\) 0.578537i 0.0766292i
\(58\) −3.68278 6.14943i −0.483572 0.807460i
\(59\) −6.68603 + 3.86018i −0.870447 + 0.502553i −0.867497 0.497443i \(-0.834272\pi\)
−0.00295028 + 0.999996i \(0.500939\pi\)
\(60\) −0.557581 + 0.403890i −0.0719834 + 0.0521420i
\(61\) −3.87063 + 6.70413i −0.495584 + 0.858376i −0.999987 0.00509195i \(-0.998379\pi\)
0.504403 + 0.863468i \(0.331713\pi\)
\(62\) 12.1720 + 6.77022i 1.54584 + 0.859819i
\(63\) −6.66876 + 4.18762i −0.840185 + 0.527590i
\(64\) −7.96318 + 0.766699i −0.995397 + 0.0958374i
\(65\) 1.36662 + 2.01964i 0.169509 + 0.250506i
\(66\) 0.00499965 + 0.312501i 0.000615415 + 0.0384663i
\(67\) −11.0249 + 6.36523i −1.34691 + 0.777637i −0.987810 0.155663i \(-0.950249\pi\)
−0.359097 + 0.933300i \(0.616915\pi\)
\(68\) −6.62352 + 0.211991i −0.803220 + 0.0257077i
\(69\) 0.314016 0.0378031
\(70\) −6.67059 + 5.05007i −0.797288 + 0.603599i
\(71\) 5.09964i 0.605216i −0.953115 0.302608i \(-0.902143\pi\)
0.953115 0.302608i \(-0.0978573\pi\)
\(72\) 7.48395 + 3.85453i 0.881992 + 0.454260i
\(73\) 4.82381 + 8.35508i 0.564584 + 0.977888i 0.997088 + 0.0762563i \(0.0242967\pi\)
−0.432504 + 0.901632i \(0.642370\pi\)
\(74\) 0.196218 + 12.2645i 0.0228099 + 1.42572i
\(75\) 0.761948 0.109389i 0.0879821 0.0126311i
\(76\) −6.38535 + 3.96420i −0.732449 + 0.454725i
\(77\) 0.140933 + 3.79540i 0.0160608 + 0.432526i
\(78\) −0.115414 + 0.207500i −0.0130681 + 0.0234947i
\(79\) −2.80167 1.61754i −0.315212 0.181988i 0.334044 0.942557i \(-0.391586\pi\)
−0.649257 + 0.760570i \(0.724920\pi\)
\(80\) 8.27836 + 3.38655i 0.925549 + 0.378628i
\(81\) −4.39363 7.60998i −0.488181 0.845554i
\(82\) −2.97028 4.95972i −0.328013 0.547709i
\(83\) 8.80158 0.966099 0.483049 0.875593i \(-0.339529\pi\)
0.483049 + 0.875593i \(0.339529\pi\)
\(84\) −0.731940 0.357628i −0.0798612 0.0390204i
\(85\) 6.66407 + 3.23807i 0.722820 + 0.351218i
\(86\) −1.54191 2.57466i −0.166269 0.277632i
\(87\) −0.675757 + 0.390149i −0.0724488 + 0.0418283i
\(88\) 3.41483 2.19648i 0.364023 0.234145i
\(89\) 9.61481 + 5.55111i 1.01917 + 0.588417i 0.913863 0.406023i \(-0.133085\pi\)
0.105305 + 0.994440i \(0.466418\pi\)
\(90\) −5.39864 7.70962i −0.569066 0.812666i
\(91\) −1.34896 + 2.55060i −0.141409 + 0.267376i
\(92\) −2.15167 3.46581i −0.224327 0.361336i
\(93\) 0.758112 1.31309i 0.0786125 0.136161i
\(94\) 10.0662 0.161047i 1.03825 0.0166107i
\(95\) 8.38159 0.598581i 0.859933 0.0614132i
\(96\) 0.0695853 + 0.868099i 0.00710202 + 0.0886000i
\(97\) −10.0234 −1.01773 −0.508863 0.860847i \(-0.669934\pi\)
−0.508863 + 0.860847i \(0.669934\pi\)
\(98\) −8.98434 4.15711i −0.907556 0.419932i
\(99\) −4.27252 −0.429404
\(100\) −6.42828 7.66011i −0.642828 0.766011i
\(101\) −4.60867 7.98245i −0.458580 0.794283i 0.540307 0.841468i \(-0.318308\pi\)
−0.998886 + 0.0471851i \(0.984975\pi\)
\(102\) 0.0115402 + 0.721317i 0.00114265 + 0.0714210i
\(103\) 6.51434 + 3.76106i 0.641877 + 0.370588i 0.785337 0.619068i \(-0.212490\pi\)
−0.143460 + 0.989656i \(0.545823\pi\)
\(104\) 3.08102 0.147979i 0.302119 0.0145105i
\(105\) 0.538066 + 0.734865i 0.0525099 + 0.0717155i
\(106\) −5.57127 3.09882i −0.541129 0.300984i
\(107\) −6.70945 3.87370i −0.648627 0.374485i 0.139303 0.990250i \(-0.455514\pi\)
−0.787930 + 0.615765i \(0.788847\pi\)
\(108\) 0.868614 1.62221i 0.0835824 0.156097i
\(109\) 13.5605 7.82914i 1.29886 0.749895i 0.318650 0.947872i \(-0.396770\pi\)
0.980207 + 0.197977i \(0.0634371\pi\)
\(110\) −4.52221 + 0.395761i −0.431176 + 0.0377343i
\(111\) 1.33529 0.126740
\(112\) 1.06818 + 10.5290i 0.100933 + 0.994893i
\(113\) 14.7872i 1.39106i −0.718496 0.695532i \(-0.755169\pi\)
0.718496 0.695532i \(-0.244831\pi\)
\(114\) 0.420370 + 0.701926i 0.0393713 + 0.0657414i
\(115\) 0.324895 + 4.54933i 0.0302967 + 0.424227i
\(116\) 8.93645 + 4.78502i 0.829729 + 0.444278i
\(117\) −2.81097 1.62292i −0.259875 0.150039i
\(118\) 5.30717 9.54159i 0.488564 0.878375i
\(119\) 0.325302 + 8.76055i 0.0298204 + 0.803078i
\(120\) 0.383031 0.895173i 0.0349658 0.0817178i
\(121\) 4.46965 7.74166i 0.406332 0.703787i
\(122\) −0.175129 10.9464i −0.0158555 0.991041i
\(123\) −0.545021 + 0.314668i −0.0491429 + 0.0283727i
\(124\) −19.6873 + 0.630108i −1.76797 + 0.0565853i
\(125\) 2.37312 + 10.9256i 0.212258 + 0.977214i
\(126\) 5.04830 9.92631i 0.449738 0.884306i
\(127\) 19.1112 1.69584 0.847922 0.530121i \(-0.177853\pi\)
0.847922 + 0.530121i \(0.177853\pi\)
\(128\) 9.10445 6.71633i 0.804727 0.593645i
\(129\) −0.282927 + 0.163348i −0.0249104 + 0.0143820i
\(130\) −3.12558 1.45738i −0.274132 0.127821i
\(131\) 10.3083 + 5.95151i 0.900641 + 0.519986i 0.877408 0.479745i \(-0.159271\pi\)
0.0232331 + 0.999730i \(0.492604\pi\)
\(132\) −0.233132 0.375518i −0.0202915 0.0326846i
\(133\) 5.28733 + 8.42005i 0.458470 + 0.730111i
\(134\) 8.75123 15.7336i 0.755991 1.35917i
\(135\) −1.70389 + 1.15297i −0.146648 + 0.0992316i
\(136\) 7.88213 5.06991i 0.675887 0.434741i
\(137\) −12.6230 + 7.28787i −1.07845 + 0.622644i −0.930478 0.366347i \(-0.880608\pi\)
−0.147973 + 0.988991i \(0.547275\pi\)
\(138\) −0.380988 + 0.228167i −0.0324319 + 0.0194228i
\(139\) 14.5711i 1.23590i −0.786216 0.617952i \(-0.787963\pi\)
0.786216 0.617952i \(-0.212037\pi\)
\(140\) 4.42386 10.9740i 0.373884 0.927475i
\(141\) 1.09595i 0.0922954i
\(142\) 3.70544 + 6.18728i 0.310954 + 0.519225i
\(143\) −1.35578 + 0.782757i −0.113376 + 0.0654574i
\(144\) −11.8808 + 0.761291i −0.990069 + 0.0634409i
\(145\) −6.35147 9.38641i −0.527461 0.779499i
\(146\) −11.9235 6.63201i −0.986795 0.548869i
\(147\) −0.468133 + 0.970675i −0.0386109 + 0.0800599i
\(148\) −9.14958 14.7377i −0.752090 1.21143i
\(149\) −5.88956 3.40034i −0.482492 0.278567i 0.238962 0.971029i \(-0.423193\pi\)
−0.721454 + 0.692462i \(0.756526\pi\)
\(150\) −0.844971 + 0.686356i −0.0689916 + 0.0560407i
\(151\) 1.08611 0.627067i 0.0883865 0.0510300i −0.455155 0.890412i \(-0.650416\pi\)
0.543542 + 0.839382i \(0.317083\pi\)
\(152\) 4.86677 9.44932i 0.394747 0.766441i
\(153\) −9.86184 −0.797282
\(154\) −2.92876 4.50246i −0.236006 0.362819i
\(155\) 19.8078 + 9.62461i 1.59100 + 0.773067i
\(156\) −0.0107417 0.335616i −0.000860021 0.0268708i
\(157\) 4.46938 2.58040i 0.356696 0.205938i −0.310935 0.950431i \(-0.600642\pi\)
0.667630 + 0.744493i \(0.267309\pi\)
\(158\) 4.57452 0.0731869i 0.363929 0.00582243i
\(159\) −0.346997 + 0.601017i −0.0275187 + 0.0476637i
\(160\) −12.5046 + 1.90630i −0.988579 + 0.150706i
\(161\) −4.57020 + 2.86984i −0.360182 + 0.226175i
\(162\) 10.8602 + 6.04057i 0.853255 + 0.474592i
\(163\) −8.10394 4.67881i −0.634750 0.366473i 0.147840 0.989011i \(-0.452768\pi\)
−0.782589 + 0.622538i \(0.786101\pi\)
\(164\) 7.20755 + 3.85928i 0.562815 + 0.301359i
\(165\) 0.0352022 + 0.492916i 0.00274049 + 0.0383735i
\(166\) −10.6787 + 6.39530i −0.828832 + 0.496371i
\(167\) 4.66932i 0.361323i −0.983545 0.180661i \(-0.942176\pi\)
0.983545 0.180661i \(-0.0578238\pi\)
\(168\) 1.14790 0.0979320i 0.0885625 0.00755562i
\(169\) 11.8107 0.908514
\(170\) −10.4382 + 0.913497i −0.800571 + 0.0700620i
\(171\) −9.68620 + 5.59233i −0.740722 + 0.427656i
\(172\) 3.74153 + 2.00340i 0.285289 + 0.152758i
\(173\) −9.51191 5.49171i −0.723177 0.417527i 0.0927436 0.995690i \(-0.470436\pi\)
−0.815921 + 0.578163i \(0.803770\pi\)
\(174\) 0.536395 0.964369i 0.0406640 0.0731086i
\(175\) −10.0897 + 8.55559i −0.762709 + 0.646742i
\(176\) −2.54716 + 5.14618i −0.192000 + 0.387908i
\(177\) −1.02933 0.594282i −0.0773690 0.0446690i
\(178\) −15.6989 + 0.251164i −1.17668 + 0.0188255i
\(179\) −7.19784 12.4670i −0.537992 0.931829i −0.999012 0.0444396i \(-0.985850\pi\)
0.461020 0.887390i \(-0.347484\pi\)
\(180\) 12.1519 + 5.43121i 0.905750 + 0.404819i
\(181\) 4.37036 0.324846 0.162423 0.986721i \(-0.448069\pi\)
0.162423 + 0.986721i \(0.448069\pi\)
\(182\) −0.216626 4.07475i −0.0160574 0.302040i
\(183\) −1.19178 −0.0880991
\(184\) 5.12886 + 2.64156i 0.378105 + 0.194739i
\(185\) 1.38156 + 19.3451i 0.101574 + 1.42228i
\(186\) 0.0343013 + 2.14399i 0.00251509 + 0.157205i
\(187\) −2.37826 + 4.11926i −0.173915 + 0.301230i
\(188\) −12.0960 + 7.50955i −0.882193 + 0.547690i
\(189\) −2.15184 1.13806i −0.156523 0.0827820i
\(190\) −9.73426 + 6.81638i −0.706197 + 0.494512i
\(191\) 15.5718 + 8.99035i 1.12673 + 0.650519i 0.943111 0.332478i \(-0.107885\pi\)
0.183621 + 0.982997i \(0.441218\pi\)
\(192\) −0.715194 1.00268i −0.0516147 0.0723624i
\(193\) 8.69658 5.02098i 0.625994 0.361418i −0.153205 0.988194i \(-0.548960\pi\)
0.779199 + 0.626777i \(0.215626\pi\)
\(194\) 12.1612 7.28311i 0.873124 0.522897i
\(195\) −0.164074 + 0.337671i −0.0117496 + 0.0241811i
\(196\) 13.9211 1.48437i 0.994363 0.106026i
\(197\) −18.3358 −1.30637 −0.653185 0.757199i \(-0.726567\pi\)
−0.653185 + 0.757199i \(0.726567\pi\)
\(198\) 5.18375 3.10445i 0.368393 0.220623i
\(199\) 2.54449 + 4.40718i 0.180374 + 0.312417i 0.942008 0.335591i \(-0.108936\pi\)
−0.761634 + 0.648008i \(0.775603\pi\)
\(200\) 13.3652 + 4.62299i 0.945061 + 0.326895i
\(201\) −1.69731 0.979940i −0.119719 0.0691197i
\(202\) 11.3917 + 6.33622i 0.801517 + 0.445815i
\(203\) 6.26937 11.8541i 0.440024 0.831993i
\(204\) −0.538116 0.866771i −0.0376757 0.0606861i
\(205\) −5.12267 7.57045i −0.357783 0.528743i
\(206\) −10.6365 + 0.170172i −0.741081 + 0.0118564i
\(207\) −3.03538 5.25744i −0.210974 0.365417i
\(208\) −3.63061 + 2.41823i −0.251737 + 0.167674i
\(209\) 5.39453i 0.373147i
\(210\) −1.18678 0.500632i −0.0818958 0.0345469i
\(211\) 26.0225 1.79146 0.895730 0.444599i \(-0.146654\pi\)
0.895730 + 0.444599i \(0.146654\pi\)
\(212\) 9.01111 0.288408i 0.618886 0.0198079i
\(213\) 0.679916 0.392550i 0.0465871 0.0268971i
\(214\) 10.9551 0.175268i 0.748874 0.0119811i
\(215\) −2.65925 3.92992i −0.181359 0.268018i
\(216\) 0.124844 + 2.59933i 0.00849456 + 0.176862i
\(217\) 0.966904 + 26.0392i 0.0656377 + 1.76766i
\(218\) −10.7639 + 19.3521i −0.729022 + 1.31069i
\(219\) −0.742635 + 1.28628i −0.0501826 + 0.0869188i
\(220\) 5.19913 3.76604i 0.350525 0.253906i
\(221\) −3.12940 + 1.80676i −0.210506 + 0.121536i
\(222\) −1.62008 + 0.970235i −0.108733 + 0.0651179i
\(223\) 7.60644i 0.509365i −0.967025 0.254683i \(-0.918029\pi\)
0.967025 0.254683i \(-0.0819710\pi\)
\(224\) −8.94642 11.9984i −0.597758 0.801677i
\(225\) −9.19668 11.6996i −0.613112 0.779971i
\(226\) 10.7445 + 17.9410i 0.714714 + 1.19342i
\(227\) −10.6186 18.3920i −0.704781 1.22072i −0.966770 0.255646i \(-0.917712\pi\)
0.261989 0.965071i \(-0.415622\pi\)
\(228\) −1.02005 0.546186i −0.0675545 0.0361721i
\(229\) 11.1449 19.3035i 0.736476 1.27561i −0.217597 0.976039i \(-0.569822\pi\)
0.954073 0.299575i \(-0.0968449\pi\)
\(230\) −3.69977 5.28352i −0.243955 0.348385i
\(231\) −0.495178 + 0.310944i −0.0325803 + 0.0204586i
\(232\) −14.3192 + 0.687741i −0.940103 + 0.0451524i
\(233\) 17.5570 + 10.1365i 1.15020 + 0.664067i 0.948935 0.315470i \(-0.102162\pi\)
0.201263 + 0.979537i \(0.435496\pi\)
\(234\) 4.58971 0.0734300i 0.300039 0.00480027i
\(235\) 15.8776 1.13392i 1.03574 0.0739686i
\(236\) 0.493940 + 15.4328i 0.0321528 + 1.00459i
\(237\) 0.498048i 0.0323517i
\(238\) −6.76017 10.3926i −0.438196 0.673652i
\(239\) 28.0879i 1.81686i 0.418040 + 0.908429i \(0.362717\pi\)
−0.418040 + 0.908429i \(0.637283\pi\)
\(240\) 0.185718 + 1.36441i 0.0119880 + 0.0880721i
\(241\) −18.8634 + 10.8908i −1.21510 + 0.701537i −0.963865 0.266389i \(-0.914169\pi\)
−0.251233 + 0.967927i \(0.580836\pi\)
\(242\) 0.202232 + 12.6405i 0.0130000 + 0.812560i
\(243\) 2.05650 3.56196i 0.131925 0.228500i
\(244\) 8.16623 + 13.1538i 0.522789 + 0.842083i
\(245\) −14.5471 5.77780i −0.929378 0.369130i
\(246\) 0.432621 0.777796i 0.0275829 0.0495905i
\(247\) −2.04911 + 3.54917i −0.130382 + 0.225828i
\(248\) 23.4283 15.0694i 1.48770 0.956910i
\(249\) 0.677510 + 1.17348i 0.0429354 + 0.0743664i
\(250\) −10.8179 11.5314i −0.684182 0.729311i
\(251\) 4.96754i 0.313548i −0.987634 0.156774i \(-0.949891\pi\)
0.987634 0.156774i \(-0.0501094\pi\)
\(252\) 1.08756 + 15.7115i 0.0685099 + 0.989731i
\(253\) −2.92802 −0.184083
\(254\) −23.1872 + 13.8864i −1.45489 + 0.871307i
\(255\) 0.0812538 + 1.13775i 0.00508831 + 0.0712487i
\(256\) −6.16607 + 14.7641i −0.385380 + 0.922758i
\(257\) 10.2172 17.6967i 0.637332 1.10389i −0.348684 0.937240i \(-0.613371\pi\)
0.986016 0.166651i \(-0.0532954\pi\)
\(258\) 0.224579 0.403764i 0.0139817 0.0251372i
\(259\) −19.4339 + 12.2034i −1.20756 + 0.758284i
\(260\) 4.85114 0.502864i 0.300855 0.0311863i
\(261\) 13.0642 + 7.54261i 0.808652 + 0.466876i
\(262\) −16.8312 + 0.269280i −1.03984 + 0.0166362i
\(263\) 2.91050 + 5.04113i 0.179469 + 0.310850i 0.941699 0.336457i \(-0.109229\pi\)
−0.762230 + 0.647307i \(0.775895\pi\)
\(264\) 0.555708 + 0.286211i 0.0342015 + 0.0176151i
\(265\) −9.06628 4.40530i −0.556937 0.270616i
\(266\) −12.5331 6.37404i −0.768452 0.390817i
\(267\) 1.70921i 0.104602i
\(268\) 0.814481 + 25.4479i 0.0497524 + 1.55448i
\(269\) −13.3070 23.0485i −0.811345 1.40529i −0.911923 0.410361i \(-0.865403\pi\)
0.100578 0.994929i \(-0.467931\pi\)
\(270\) 1.22954 2.63693i 0.0748272 0.160478i
\(271\) −9.50169 + 16.4574i −0.577186 + 0.999716i 0.418614 + 0.908164i \(0.362516\pi\)
−0.995800 + 0.0915517i \(0.970817\pi\)
\(272\) −5.87937 + 11.8784i −0.356489 + 0.720235i
\(273\) −0.443900 + 0.0164831i −0.0268660 + 0.000997605i
\(274\) 10.0197 18.0141i 0.605313 1.08827i
\(275\) −7.10473 + 1.01999i −0.428431 + 0.0615075i
\(276\) 0.296457 0.553659i 0.0178446 0.0333263i
\(277\) −8.17889 14.1662i −0.491422 0.851167i 0.508529 0.861045i \(-0.330189\pi\)
−0.999951 + 0.00987713i \(0.996856\pi\)
\(278\) 10.5875 + 17.6788i 0.634994 + 1.06030i
\(279\) −29.3126 −1.75490
\(280\) 2.60647 + 16.5290i 0.155766 + 0.987794i
\(281\) −9.13648 −0.545037 −0.272518 0.962151i \(-0.587857\pi\)
−0.272518 + 0.962151i \(0.587857\pi\)
\(282\) 0.796324 + 1.32969i 0.0474204 + 0.0791817i
\(283\) 7.92262 + 13.7224i 0.470951 + 0.815710i 0.999448 0.0332246i \(-0.0105777\pi\)
−0.528497 + 0.848935i \(0.677244\pi\)
\(284\) −8.99145 4.81447i −0.533545 0.285686i
\(285\) 0.724988 + 1.07141i 0.0429446 + 0.0634649i
\(286\) 1.07617 1.93482i 0.0636354 0.114408i
\(287\) 5.05646 9.56071i 0.298473 0.564351i
\(288\) 13.8616 9.55637i 0.816801 0.563114i
\(289\) 3.01050 5.21434i 0.177088 0.306726i
\(290\) 14.5263 + 6.77328i 0.853015 + 0.397741i
\(291\) −0.771564 1.33639i −0.0452299 0.0783405i
\(292\) 19.2854 0.617244i 1.12859 0.0361215i
\(293\) 7.81463i 0.456536i 0.973598 + 0.228268i \(0.0733062\pi\)
−0.973598 + 0.228268i \(0.926694\pi\)
\(294\) −0.137326 1.51785i −0.00800901 0.0885226i
\(295\) 7.54471 15.5273i 0.439270 0.904035i
\(296\) 21.8095 + 11.2327i 1.26765 + 0.652890i
\(297\) −0.660381 1.14381i −0.0383192 0.0663708i
\(298\) 9.61639 0.153851i 0.557062 0.00891234i
\(299\) −1.92640 1.11221i −0.111407 0.0643207i
\(300\) 0.526471 1.44670i 0.0303958 0.0835254i
\(301\) 2.62487 4.96309i 0.151295 0.286068i
\(302\) −0.862122 + 1.54998i −0.0496095 + 0.0891915i
\(303\) 0.709513 1.22891i 0.0407605 0.0705992i
\(304\) 0.961215 + 15.0009i 0.0551295 + 0.860359i
\(305\) −1.23307 17.2660i −0.0706056 0.988650i
\(306\) 11.9651 7.16569i 0.684001 0.409635i
\(307\) 32.1983 1.83765 0.918827 0.394660i \(-0.129138\pi\)
0.918827 + 0.394660i \(0.129138\pi\)
\(308\) 6.82492 + 3.33468i 0.388886 + 0.190011i
\(309\) 1.15804i 0.0658788i
\(310\) −31.0257 + 2.71521i −1.76214 + 0.154214i
\(311\) 7.85791 + 13.6103i 0.445581 + 0.771769i 0.998092 0.0617363i \(-0.0196638\pi\)
−0.552511 + 0.833505i \(0.686330\pi\)
\(312\) 0.256894 + 0.399390i 0.0145438 + 0.0226110i
\(313\) −9.05719 + 15.6875i −0.511942 + 0.886710i 0.487962 + 0.872865i \(0.337741\pi\)
−0.999904 + 0.0138452i \(0.995593\pi\)
\(314\) −3.54766 + 6.37823i −0.200206 + 0.359944i
\(315\) 7.10241 16.1121i 0.400175 0.907811i
\(316\) −5.49698 + 3.41268i −0.309229 + 0.191978i
\(317\) 0.164486 0.284898i 0.00923844 0.0160015i −0.861369 0.507979i \(-0.830393\pi\)
0.870608 + 0.491978i \(0.163726\pi\)
\(318\) −0.0157001 0.981331i −0.000880419 0.0550303i
\(319\) 6.30105 3.63791i 0.352791 0.203684i
\(320\) 13.7865 11.3988i 0.770686 0.637215i
\(321\) 1.19273i 0.0665715i
\(322\) 3.45967 6.80265i 0.192800 0.379097i
\(323\) 12.4517i 0.692829i
\(324\) −17.5655 + 0.562198i −0.975862 + 0.0312332i
\(325\) −5.06178 2.02766i −0.280777 0.112474i
\(326\) 13.2320 0.211696i 0.732852 0.0117248i
\(327\) 2.08766 + 1.20531i 0.115448 + 0.0666538i
\(328\) −11.5489 + 0.554686i −0.637683 + 0.0306274i
\(329\) 10.0160 + 15.9505i 0.552200 + 0.879377i
\(330\) −0.400867 0.572465i −0.0220670 0.0315132i
\(331\) 0.366488 0.634777i 0.0201440 0.0348905i −0.855778 0.517344i \(-0.826921\pi\)
0.875922 + 0.482453i \(0.160254\pi\)
\(332\) 8.30940 15.5185i 0.456038 0.851690i
\(333\) −12.9074 22.3562i −0.707320 1.22511i
\(334\) 3.39277 + 5.66518i 0.185644 + 0.309985i
\(335\) 12.4408 25.6037i 0.679715 1.39888i
\(336\) −1.32156 + 0.952893i −0.0720972 + 0.0519846i
\(337\) 26.9790i 1.46964i −0.678261 0.734821i \(-0.737266\pi\)
0.678261 0.734821i \(-0.262734\pi\)
\(338\) −14.3296 + 8.58174i −0.779429 + 0.466785i
\(339\) 1.97152 1.13826i 0.107078 0.0618218i
\(340\) 12.0006 8.69279i 0.650826 0.471433i
\(341\) −7.06896 + 12.2438i −0.382806 + 0.663039i
\(342\) 7.68861 13.8231i 0.415752 0.747469i
\(343\) −2.05791 18.4056i −0.111117 0.993807i
\(344\) −5.99520 + 0.287945i −0.323240 + 0.0155250i
\(345\) −0.581536 + 0.393506i −0.0313088 + 0.0211856i
\(346\) 15.5309 0.248476i 0.834947 0.0133582i
\(347\) −19.5162 + 11.2677i −1.04768 + 0.604880i −0.922000 0.387190i \(-0.873446\pi\)
−0.125684 + 0.992070i \(0.540112\pi\)
\(348\) 0.0499225 + 1.55980i 0.00267613 + 0.0836138i
\(349\) −2.28183 −0.122144 −0.0610718 0.998133i \(-0.519452\pi\)
−0.0610718 + 0.998133i \(0.519452\pi\)
\(350\) 6.02503 17.7116i 0.322051 0.946722i
\(351\) 1.00338i 0.0535567i
\(352\) −0.648843 8.09453i −0.0345835 0.431440i
\(353\) −4.34760 7.53026i −0.231399 0.400796i 0.726821 0.686827i \(-0.240997\pi\)
−0.958220 + 0.286032i \(0.907664\pi\)
\(354\) 1.68067 0.0268887i 0.0893266 0.00142912i
\(355\) 6.39056 + 9.44418i 0.339176 + 0.501245i
\(356\) 18.8646 11.7117i 0.999823 0.620718i
\(357\) −1.14297 + 0.717723i −0.0604924 + 0.0379859i
\(358\) 17.7916 + 9.89594i 0.940316 + 0.523017i
\(359\) 9.45940 + 5.46139i 0.499248 + 0.288241i 0.728403 0.685149i \(-0.240263\pi\)
−0.229155 + 0.973390i \(0.573596\pi\)
\(360\) −18.6900 + 2.24012i −0.985049 + 0.118065i
\(361\) −2.43906 4.22457i −0.128372 0.222346i
\(362\) −5.30246 + 3.17554i −0.278691 + 0.166903i
\(363\) 1.37622 0.0722330
\(364\) 3.22357 + 4.78640i 0.168961 + 0.250875i
\(365\) −19.4034 9.42812i −1.01562 0.493490i
\(366\) 1.44596 0.865959i 0.0755817 0.0452644i
\(367\) −12.2452 + 7.06978i −0.639196 + 0.369040i −0.784305 0.620376i \(-0.786980\pi\)
0.145109 + 0.989416i \(0.453647\pi\)
\(368\) −8.14211 + 0.521724i −0.424437 + 0.0271968i
\(369\) 10.5367 + 6.08336i 0.548519 + 0.316687i
\(370\) −15.7325 22.4672i −0.817896 1.16801i
\(371\) −0.442564 11.9185i −0.0229768 0.618776i
\(372\) −1.59946 2.57633i −0.0829280 0.133576i
\(373\) −7.21065 + 12.4892i −0.373353 + 0.646667i −0.990079 0.140511i \(-0.955125\pi\)
0.616726 + 0.787178i \(0.288459\pi\)
\(374\) −0.107606 6.72586i −0.00556417 0.347786i
\(375\) −1.27399 + 1.15741i −0.0657888 + 0.0597682i
\(376\) 9.21932 17.9002i 0.475450 0.923134i
\(377\) 5.52745 0.284678
\(378\) 3.43771 0.182759i 0.176816 0.00940009i
\(379\) −7.92505 −0.407083 −0.203541 0.979066i \(-0.565245\pi\)
−0.203541 + 0.979066i \(0.565245\pi\)
\(380\) 6.85751 15.3431i 0.351783 0.787087i
\(381\) 1.47110 + 2.54802i 0.0753669 + 0.130539i
\(382\) −25.4253 + 0.406775i −1.30087 + 0.0208124i
\(383\) 19.9807 + 11.5359i 1.02097 + 0.589456i 0.914384 0.404848i \(-0.132676\pi\)
0.106583 + 0.994304i \(0.466009\pi\)
\(384\) 1.59629 + 0.696866i 0.0814602 + 0.0355618i
\(385\) −5.01716 6.85220i −0.255698 0.349220i
\(386\) −6.90308 + 12.4108i −0.351358 + 0.631695i
\(387\) 5.46974 + 3.15795i 0.278042 + 0.160528i
\(388\) −9.46294 + 17.6729i −0.480408 + 0.897204i
\(389\) −12.8952 + 7.44505i −0.653813 + 0.377479i −0.789916 0.613216i \(-0.789876\pi\)
0.136102 + 0.990695i \(0.456542\pi\)
\(390\) −0.0462872 0.528905i −0.00234384 0.0267822i
\(391\) −6.75847 −0.341790
\(392\) −15.8116 + 11.9161i −0.798605 + 0.601855i
\(393\) 1.83249i 0.0924370i
\(394\) 22.2464 13.3229i 1.12076 0.671199i
\(395\) 7.21550 0.515303i 0.363051 0.0259277i
\(396\) −4.03360 + 7.53311i −0.202696 + 0.378553i
\(397\) 31.0960 + 17.9533i 1.56066 + 0.901049i 0.997190 + 0.0749137i \(0.0238681\pi\)
0.563472 + 0.826135i \(0.309465\pi\)
\(398\) −6.28947 3.49829i −0.315262 0.175353i
\(399\) −0.715617 + 1.35308i −0.0358257 + 0.0677388i
\(400\) −19.5748 + 4.10228i −0.978738 + 0.205114i
\(401\) 2.44122 4.22832i 0.121909 0.211152i −0.798612 0.601847i \(-0.794432\pi\)
0.920520 + 0.390694i \(0.127765\pi\)
\(402\) 2.77133 0.0443381i 0.138222 0.00221138i
\(403\) −9.30162 + 5.37029i −0.463347 + 0.267513i
\(404\) −18.4252 + 0.589715i −0.916690 + 0.0293394i
\(405\) 17.6731 + 8.58733i 0.878181 + 0.426708i
\(406\) 1.00678 + 18.9376i 0.0499657 + 0.939860i
\(407\) −12.4508 −0.617166
\(408\) 1.28269 + 0.660634i 0.0635025 + 0.0327063i
\(409\) 21.8076 12.5906i 1.07832 0.622567i 0.147875 0.989006i \(-0.452757\pi\)
0.930442 + 0.366439i \(0.119423\pi\)
\(410\) 11.7160 + 5.46287i 0.578611 + 0.269792i
\(411\) −1.94333 1.12198i −0.0958573 0.0553432i
\(412\) 12.7814 7.93505i 0.629694 0.390932i
\(413\) 20.4121 0.757954i 1.00441 0.0372965i
\(414\) 7.50285 + 4.17319i 0.368745 + 0.205101i
\(415\) −16.2999 + 11.0296i −0.800130 + 0.541422i
\(416\) 2.64782 5.57201i 0.129820 0.273190i
\(417\) 1.94271 1.12162i 0.0951349 0.0549261i
\(418\) −3.91971 6.54506i −0.191719 0.320129i
\(419\) 19.8387i 0.969184i −0.874740 0.484592i \(-0.838968\pi\)
0.874740 0.484592i \(-0.161032\pi\)
\(420\) 1.80366 0.254921i 0.0880095 0.0124389i
\(421\) 15.1350i 0.737633i 0.929502 + 0.368816i \(0.120237\pi\)
−0.929502 + 0.368816i \(0.879763\pi\)
\(422\) −31.5724 + 18.9081i −1.53692 + 0.920433i
\(423\) −18.3490 + 10.5938i −0.892157 + 0.515087i
\(424\) −10.7234 + 6.89747i −0.520775 + 0.334971i
\(425\) −16.3991 + 2.35434i −0.795475 + 0.114202i
\(426\) −0.539697 + 0.970304i −0.0261484 + 0.0470114i
\(427\) 17.3452 10.8919i 0.839395 0.527094i
\(428\) −13.1642 + 8.17270i −0.636315 + 0.395042i
\(429\) −0.208724 0.120507i −0.0100773 0.00581813i
\(430\) 6.08191 + 2.83585i 0.293296 + 0.136757i
\(431\) 6.91977 3.99513i 0.333314 0.192439i −0.323998 0.946058i \(-0.605027\pi\)
0.657311 + 0.753619i \(0.271694\pi\)
\(432\) −2.04017 3.06300i −0.0981576 0.147369i
\(433\) −23.8710 −1.14717 −0.573583 0.819148i \(-0.694447\pi\)
−0.573583 + 0.819148i \(0.694447\pi\)
\(434\) −20.0934 30.8902i −0.964516 1.48278i
\(435\) 0.762544 1.56935i 0.0365612 0.0752444i
\(436\) −1.00180 31.3005i −0.0479775 1.49902i
\(437\) −6.63810 + 3.83251i −0.317543 + 0.183334i
\(438\) −0.0336010 2.10022i −0.00160552 0.100352i
\(439\) 6.02272 10.4317i 0.287449 0.497876i −0.685751 0.727836i \(-0.740526\pi\)
0.973200 + 0.229960i \(0.0738596\pi\)
\(440\) −3.57154 + 8.34698i −0.170267 + 0.397927i
\(441\) 20.7767 1.54512i 0.989367 0.0735770i
\(442\) 2.48402 4.46595i 0.118153 0.212424i
\(443\) −31.0474 17.9252i −1.47511 0.851653i −0.475500 0.879716i \(-0.657733\pi\)
−0.999606 + 0.0280632i \(0.991066\pi\)
\(444\) 1.26062 2.35433i 0.0598266 0.111731i
\(445\) −24.7623 + 1.76843i −1.17384 + 0.0838314i
\(446\) 5.52690 + 9.22872i 0.261706 + 0.436993i
\(447\) 1.04698i 0.0495204i
\(448\) 19.5726 + 8.05683i 0.924719 + 0.380649i
\(449\) −25.0673 −1.18300 −0.591500 0.806305i \(-0.701464\pi\)
−0.591500 + 0.806305i \(0.701464\pi\)
\(450\) 19.6591 + 7.51243i 0.926740 + 0.354139i
\(451\) 5.08201 2.93410i 0.239302 0.138161i
\(452\) −26.0721 13.9603i −1.22633 0.656638i
\(453\) 0.167209 + 0.0965381i 0.00785616 + 0.00453576i
\(454\) 26.2471 + 14.5990i 1.23184 + 0.685164i
\(455\) −0.698079 6.41396i −0.0327265 0.300691i
\(456\) 1.63447 0.0785022i 0.0765409 0.00367620i
\(457\) 26.1083 + 15.0736i 1.22129 + 0.705115i 0.965194 0.261536i \(-0.0842289\pi\)
0.256100 + 0.966650i \(0.417562\pi\)
\(458\) 0.504259 + 31.5185i 0.0235625 + 1.47276i
\(459\) −1.52429 2.64016i −0.0711480 0.123232i
\(460\) 8.32789 + 3.72209i 0.388290 + 0.173543i
\(461\) 6.48585 0.302076 0.151038 0.988528i \(-0.451738\pi\)
0.151038 + 0.988528i \(0.451738\pi\)
\(462\) 0.374853 0.737062i 0.0174397 0.0342912i
\(463\) 10.1847 0.473324 0.236662 0.971592i \(-0.423947\pi\)
0.236662 + 0.971592i \(0.423947\pi\)
\(464\) 16.8735 11.2389i 0.783331 0.521752i
\(465\) 0.241513 + 3.38177i 0.0111999 + 0.156826i
\(466\) −28.6668 + 0.458635i −1.32796 + 0.0212459i
\(467\) 0.928318 1.60789i 0.0429574 0.0744045i −0.843747 0.536741i \(-0.819655\pi\)
0.886705 + 0.462336i \(0.152989\pi\)
\(468\) −5.51524 + 3.42402i −0.254942 + 0.158275i
\(469\) 33.6585 1.24983i 1.55420 0.0577116i
\(470\) −18.4400 + 12.9125i −0.850574 + 0.595611i
\(471\) 0.688070 + 0.397258i 0.0317046 + 0.0183047i
\(472\) −11.8129 18.3654i −0.543733 0.845335i
\(473\) 2.63814 1.52313i 0.121302 0.0700335i
\(474\) 0.361886 + 0.604270i 0.0166220 + 0.0277550i
\(475\) −14.7720 + 11.6118i −0.677786 + 0.532787i
\(476\) 15.7533 + 7.69711i 0.722051 + 0.352796i
\(477\) 13.4167 0.614311
\(478\) −20.4089 34.0784i −0.933482 1.55871i
\(479\) −11.3522 19.6626i −0.518696 0.898408i −0.999764 0.0217249i \(-0.993084\pi\)
0.481068 0.876683i \(-0.340249\pi\)
\(480\) −1.21672 1.52046i −0.0555352 0.0693991i
\(481\) −8.19166 4.72946i −0.373507 0.215645i
\(482\) 14.9732 26.9198i 0.682010 1.22617i
\(483\) −0.734420 0.388420i −0.0334173 0.0176737i
\(484\) −9.43003 15.1894i −0.428638 0.690429i
\(485\) 18.5627 12.5608i 0.842889 0.570355i
\(486\) 0.0930478 + 5.81592i 0.00422073 + 0.263815i
\(487\) 3.97228 + 6.88019i 0.180001 + 0.311771i 0.941881 0.335948i \(-0.109056\pi\)
−0.761879 + 0.647719i \(0.775723\pi\)
\(488\) −19.4655 10.0255i −0.881163 0.453833i
\(489\) 1.44062i 0.0651473i
\(490\) 21.8478 3.55995i 0.986983 0.160822i
\(491\) −17.3407 −0.782574 −0.391287 0.920269i \(-0.627970\pi\)
−0.391287 + 0.920269i \(0.627970\pi\)
\(492\) 0.0402642 + 1.25803i 0.00181525 + 0.0567163i
\(493\) 14.5441 8.39704i 0.655033 0.378184i
\(494\) −0.0927135 5.79503i −0.00417138 0.260731i
\(495\) 7.91240 5.35406i 0.355636 0.240647i
\(496\) −17.4754 + 35.3066i −0.784669 + 1.58531i
\(497\) −6.30796 + 11.9270i −0.282951 + 0.535000i
\(498\) −1.67467 0.931474i −0.0750437 0.0417403i
\(499\) −6.19114 + 10.7234i −0.277153 + 0.480044i −0.970676 0.240391i \(-0.922724\pi\)
0.693523 + 0.720435i \(0.256058\pi\)
\(500\) 21.5039 + 6.13045i 0.961683 + 0.274162i
\(501\) 0.622543 0.359426i 0.0278132 0.0160579i
\(502\) 3.60945 + 6.02700i 0.161098 + 0.268998i
\(503\) 5.54215i 0.247112i 0.992338 + 0.123556i \(0.0394299\pi\)
−0.992338 + 0.123556i \(0.960570\pi\)
\(504\) −12.7356 18.2722i −0.567289 0.813907i
\(505\) 18.5380 + 9.00762i 0.824932 + 0.400834i
\(506\) 3.55250 2.12752i 0.157928 0.0945800i
\(507\) 0.909138 + 1.57467i 0.0403763 + 0.0699337i
\(508\) 18.0425 33.6960i 0.800507 1.49502i
\(509\) 6.65860 11.5330i 0.295137 0.511193i −0.679880 0.733324i \(-0.737968\pi\)
0.975017 + 0.222131i \(0.0713013\pi\)
\(510\) −0.925282 1.32137i −0.0409722 0.0585111i
\(511\) −0.947164 25.5076i −0.0419001 1.12839i
\(512\) −3.24658 22.3933i −0.143480 0.989653i
\(513\) −2.99429 1.72876i −0.132201 0.0763265i
\(514\) 0.462285 + 28.8949i 0.0203905 + 1.27450i
\(515\) −16.7772 + 1.19817i −0.739293 + 0.0527975i
\(516\) 0.0209017 + 0.653058i 0.000920145 + 0.0287493i
\(517\) 10.2191i 0.449435i
\(518\) 14.7116 28.9270i 0.646390 1.27098i
\(519\) 1.69092i 0.0742230i
\(520\) −5.52039 + 4.13499i −0.242085 + 0.181331i
\(521\) 11.1481 6.43636i 0.488407 0.281982i −0.235506 0.971873i \(-0.575675\pi\)
0.723913 + 0.689891i \(0.242342\pi\)
\(522\) −21.3310 + 0.341270i −0.933632 + 0.0149370i
\(523\) −0.486030 + 0.841829i −0.0212526 + 0.0368106i −0.876456 0.481482i \(-0.840099\pi\)
0.855203 + 0.518292i \(0.173432\pi\)
\(524\) 20.2253 12.5564i 0.883546 0.548530i
\(525\) −1.91735 0.686647i −0.0836800 0.0299677i
\(526\) −7.19417 4.00150i −0.313681 0.174474i
\(527\) −16.3166 + 28.2612i −0.710762 + 1.23108i
\(528\) −0.882191 + 0.0565284i −0.0383924 + 0.00246008i
\(529\) 9.41981 + 16.3156i 0.409557 + 0.709373i
\(530\) 14.2008 1.24279i 0.616845 0.0539832i
\(531\) 22.9781i 0.997165i
\(532\) 19.8375 1.37317i 0.860065 0.0595343i
\(533\) 4.45807 0.193101
\(534\) −1.24193 2.07374i −0.0537434 0.0897397i
\(535\) 17.2797 1.23405i 0.747067 0.0533527i
\(536\) −19.4789 30.2835i −0.841358 1.30805i
\(537\) 1.10812 1.91932i 0.0478190 0.0828249i
\(538\) 32.8923 + 18.2952i 1.41809 + 0.788761i
\(539\) 4.36507 9.05099i 0.188017 0.389854i
\(540\) 0.424247 + 4.09272i 0.0182567 + 0.176122i
\(541\) −1.15477 0.666704i −0.0496472 0.0286638i 0.474971 0.880001i \(-0.342459\pi\)
−0.524618 + 0.851338i \(0.675792\pi\)
\(542\) −0.429910 26.8714i −0.0184662 1.15422i
\(543\) 0.336413 + 0.582684i 0.0144369 + 0.0250054i
\(544\) −1.49766 18.6838i −0.0642117 0.801062i
\(545\) −15.3020 + 31.4922i −0.655467 + 1.34898i
\(546\) 0.526596 0.342540i 0.0225362 0.0146593i
\(547\) 16.3516i 0.699145i 0.936909 + 0.349572i \(0.113673\pi\)
−0.936909 + 0.349572i \(0.886327\pi\)
\(548\) 0.932539 + 29.1365i 0.0398361 + 1.24465i
\(549\) 11.5202 + 19.9535i 0.491668 + 0.851595i
\(550\) 7.87887 6.39988i 0.335956 0.272892i
\(551\) 9.52338 16.4950i 0.405710 0.702710i
\(552\) 0.0426091 + 0.887149i 0.00181356 + 0.0377596i
\(553\) 4.55173 + 7.24861i 0.193559 + 0.308242i
\(554\) 20.2166 + 11.2447i 0.858920 + 0.477743i
\(555\) −2.47287 + 1.67331i −0.104967 + 0.0710280i
\(556\) −25.6911 13.7563i −1.08954 0.583396i
\(557\) 15.5495 + 26.9325i 0.658854 + 1.14117i 0.980913 + 0.194449i \(0.0622918\pi\)
−0.322059 + 0.946720i \(0.604375\pi\)
\(558\) 35.5643 21.2988i 1.50556 0.901650i
\(559\) 2.31424 0.0978820
\(560\) −15.1724 18.1603i −0.641153 0.767413i
\(561\) −0.732274 −0.0309167
\(562\) 11.0851 6.63864i 0.467596 0.280034i
\(563\) −3.32761 5.76359i −0.140242 0.242906i 0.787346 0.616512i \(-0.211455\pi\)
−0.927588 + 0.373606i \(0.878121\pi\)
\(564\) −1.93232 1.03466i −0.0813655 0.0435672i
\(565\) 18.5304 + 27.3849i 0.779581 + 1.15209i
\(566\) −19.5831 10.8924i −0.823140 0.457842i
\(567\) 0.862697 + 23.2329i 0.0362298 + 0.975689i
\(568\) 14.4074 0.691974i 0.604519 0.0290346i
\(569\) 2.06702 3.58018i 0.0866540 0.150089i −0.819441 0.573164i \(-0.805716\pi\)
0.906095 + 0.423075i \(0.139049\pi\)
\(570\) −1.65811 0.773135i −0.0694504 0.0323831i
\(571\) 15.1266 + 26.2001i 0.633030 + 1.09644i 0.986929 + 0.161156i \(0.0515223\pi\)
−0.353899 + 0.935284i \(0.615144\pi\)
\(572\) 0.100160 + 3.12943i 0.00418789 + 0.130848i
\(573\) 2.76817i 0.115642i
\(574\) 0.812003 + 15.2738i 0.0338924 + 0.637518i
\(575\) −6.30262 8.01789i −0.262838 0.334369i
\(576\) −9.87419 + 21.6665i −0.411425 + 0.902769i
\(577\) −10.8896 18.8613i −0.453340 0.785208i 0.545251 0.838273i \(-0.316434\pi\)
−0.998591 + 0.0530650i \(0.983101\pi\)
\(578\) 0.136212 + 8.51389i 0.00566568 + 0.354131i
\(579\) 1.33886 + 0.772989i 0.0556410 + 0.0321243i
\(580\) −22.5460 + 2.33709i −0.936171 + 0.0970425i
\(581\) −20.5851 10.8870i −0.854014 0.451670i
\(582\) 1.90715 + 1.06078i 0.0790540 + 0.0439709i
\(583\) 3.23555 5.60414i 0.134003 0.232100i
\(584\) −22.9500 + 14.7618i −0.949677 + 0.610847i
\(585\) 7.23947 0.517015i 0.299315 0.0213759i
\(586\) −5.67818 9.48131i −0.234563 0.391669i
\(587\) 29.3485 1.21134 0.605671 0.795715i \(-0.292905\pi\)
0.605671 + 0.795715i \(0.292905\pi\)
\(588\) 1.26949 + 1.74179i 0.0523531 + 0.0718300i
\(589\) 37.0105i 1.52499i
\(590\) 2.12845 + 24.3210i 0.0876269 + 1.00128i
\(591\) −1.41141 2.44464i −0.0580578 0.100559i
\(592\) −34.6228 + 2.21853i −1.42299 + 0.0911811i
\(593\) 9.38410 16.2537i 0.385359 0.667461i −0.606460 0.795114i \(-0.707411\pi\)
0.991819 + 0.127653i \(0.0407444\pi\)
\(594\) 1.63233 + 0.907925i 0.0669753 + 0.0372526i
\(595\) −11.5806 15.8163i −0.474759 0.648404i
\(596\) −11.5556 + 7.17401i −0.473334 + 0.293859i
\(597\) −0.391729 + 0.678495i −0.0160324 + 0.0277689i
\(598\) 3.14540 0.0503227i 0.128625 0.00205785i
\(599\) −0.724292 + 0.418170i −0.0295938 + 0.0170860i −0.514724 0.857356i \(-0.672106\pi\)
0.485130 + 0.874442i \(0.338772\pi\)
\(600\) 0.412431 + 2.13779i 0.0168374 + 0.0872749i
\(601\) 19.1094i 0.779488i 0.920923 + 0.389744i \(0.127436\pi\)
−0.920923 + 0.389744i \(0.872564\pi\)
\(602\) 0.421521 + 7.92885i 0.0171799 + 0.323156i
\(603\) 37.8897i 1.54299i
\(604\) −0.0802381 2.50698i −0.00326484 0.102008i
\(605\) 1.42390 + 19.9381i 0.0578899 + 0.810599i
\(606\) 0.0321024 + 2.00655i 0.00130407 + 0.0815105i
\(607\) 2.44461 + 1.41140i 0.0992237 + 0.0572868i 0.548791 0.835960i \(-0.315088\pi\)
−0.449567 + 0.893247i \(0.648422\pi\)
\(608\) −12.0660 17.5018i −0.489340 0.709791i
\(609\) 2.06305 0.0766064i 0.0835990 0.00310425i
\(610\) 14.0417 + 20.0525i 0.568532 + 0.811902i
\(611\) −3.88172 + 6.72334i −0.157038 + 0.271997i
\(612\) −9.31037 + 17.3879i −0.376350 + 0.702866i
\(613\) −1.09983 1.90496i −0.0444218 0.0769408i 0.842960 0.537977i \(-0.180811\pi\)
−0.887381 + 0.461036i \(0.847478\pi\)
\(614\) −39.0655 + 23.3956i −1.57655 + 0.944168i
\(615\) 0.615017 1.26573i 0.0247999 0.0510392i
\(616\) −10.7035 + 0.913160i −0.431257 + 0.0367923i
\(617\) 5.71433i 0.230050i 0.993363 + 0.115025i \(0.0366949\pi\)
−0.993363 + 0.115025i \(0.963305\pi\)
\(618\) −0.841444 1.40503i −0.0338479 0.0565185i
\(619\) −11.3244 + 6.53816i −0.455167 + 0.262791i −0.710010 0.704192i \(-0.751310\pi\)
0.254843 + 0.966982i \(0.417976\pi\)
\(620\) 35.6698 25.8378i 1.43254 1.03767i
\(621\) 0.938327 1.62523i 0.0376538 0.0652182i
\(622\) −19.4232 10.8034i −0.778798 0.433178i
\(623\) −15.6207 24.8759i −0.625830 0.996631i
\(624\) −0.601883 0.297909i −0.0240946 0.0119259i
\(625\) −18.0861 17.2596i −0.723445 0.690382i
\(626\) −0.409799 25.6143i −0.0163788 1.02375i
\(627\) −0.719233 + 0.415249i −0.0287234 + 0.0165835i
\(628\) −0.330182 10.3163i −0.0131757 0.411666i
\(629\) −28.7391 −1.14590
\(630\) 3.08996 + 24.7090i 0.123107 + 0.984432i
\(631\) 39.1013i 1.55660i −0.627893 0.778300i \(-0.716082\pi\)
0.627893 0.778300i \(-0.283918\pi\)
\(632\) 4.18968 8.13467i 0.166656 0.323580i
\(633\) 2.00310 + 3.46948i 0.0796162 + 0.137899i
\(634\) 0.00744227 + 0.465177i 0.000295570 + 0.0184745i
\(635\) −35.3926 + 23.9490i −1.40451 + 0.950386i
\(636\) 0.732092 + 1.17922i 0.0290293 + 0.0467590i
\(637\) 6.30989 4.29675i 0.250007 0.170244i
\(638\) −5.00158 + 8.99219i −0.198014 + 0.356004i
\(639\) −13.1446 7.58903i −0.519992 0.300217i
\(640\) −8.44430 + 23.8473i −0.333790 + 0.942647i
\(641\) 3.00306 + 5.20146i 0.118614 + 0.205445i 0.919219 0.393748i \(-0.128822\pi\)
−0.800605 + 0.599193i \(0.795488\pi\)
\(642\) 0.866646 + 1.44711i 0.0342038 + 0.0571128i
\(643\) 7.80386 0.307754 0.153877 0.988090i \(-0.450824\pi\)
0.153877 + 0.988090i \(0.450824\pi\)
\(644\) 0.745321 + 10.7673i 0.0293698 + 0.424292i
\(645\) 0.319263 0.657057i 0.0125710 0.0258716i
\(646\) −9.04749 15.1073i −0.355969 0.594390i
\(647\) 31.5546 18.2181i 1.24054 0.716226i 0.271336 0.962485i \(-0.412535\pi\)
0.969204 + 0.246259i \(0.0792013\pi\)
\(648\) 20.9033 13.4453i 0.821160 0.528183i
\(649\) 9.59789 + 5.54134i 0.376750 + 0.217517i
\(650\) 7.61466 1.21782i 0.298671 0.0477667i
\(651\) −3.39728 + 2.13331i −0.133150 + 0.0836109i
\(652\) −15.9002 + 9.87132i −0.622702 + 0.386591i
\(653\) −13.3970 + 23.2044i −0.524267 + 0.908057i 0.475334 + 0.879805i \(0.342327\pi\)
−0.999601 + 0.0282515i \(0.991006\pi\)
\(654\) −3.40870 + 0.0545351i −0.133291 + 0.00213249i
\(655\) −26.5483 + 1.89598i −1.03733 + 0.0740821i
\(656\) 13.6090 9.06454i 0.531343 0.353911i
\(657\) 28.7142 1.12025
\(658\) −23.7419 12.0746i −0.925556 0.470717i
\(659\) −17.4318 −0.679047 −0.339524 0.940597i \(-0.610266\pi\)
−0.339524 + 0.940597i \(0.610266\pi\)
\(660\) 0.902320 + 0.403286i 0.0351228 + 0.0156979i
\(661\) 8.06543 + 13.9697i 0.313709 + 0.543360i 0.979162 0.203080i \(-0.0650951\pi\)
−0.665453 + 0.746439i \(0.731762\pi\)
\(662\) 0.0165820 + 1.03645i 0.000644479 + 0.0402829i
\(663\) −0.481778 0.278155i −0.0187107 0.0108026i
\(664\) 1.19429 + 24.8660i 0.0463475 + 0.964986i
\(665\) −20.3433 8.96758i −0.788878 0.347748i
\(666\) 31.9044 + 17.7457i 1.23627 + 0.687632i
\(667\) 8.95308 + 5.16906i 0.346665 + 0.200147i
\(668\) −8.23273 4.40822i −0.318534 0.170559i
\(669\) 1.01414 0.585513i 0.0392089 0.0226372i
\(670\) 3.50970 + 40.1040i 0.135592 + 1.54935i
\(671\) 11.1127 0.429001
\(672\) 0.911042 2.11638i 0.0351442 0.0816412i
\(673\) 18.9217i 0.729376i −0.931130 0.364688i \(-0.881176\pi\)
0.931130 0.364688i \(-0.118824\pi\)
\(674\) 19.6032 + 32.7330i 0.755087 + 1.26083i
\(675\) 1.71066 4.27043i 0.0658433 0.164369i
\(676\) 11.1502 20.8240i 0.428855 0.800925i
\(677\) −22.4272 12.9483i −0.861947 0.497645i 0.00271669 0.999996i \(-0.499135\pi\)
−0.864664 + 0.502351i \(0.832469\pi\)
\(678\) −1.56493 + 2.81355i −0.0601009 + 0.108054i
\(679\) 23.4428 + 12.3984i 0.899652 + 0.475807i
\(680\) −8.24385 + 19.2665i −0.316137 + 0.738837i
\(681\) 1.63475 2.83148i 0.0626439 0.108502i
\(682\) −0.319840 19.9915i −0.0122473 0.765513i
\(683\) 41.4706 23.9431i 1.58683 0.916157i 0.593005 0.805199i \(-0.297942\pi\)
0.993825 0.110957i \(-0.0353917\pi\)
\(684\) 0.715582 + 22.3579i 0.0273610 + 0.854875i
\(685\) 14.2441 29.3149i 0.544239 1.12007i
\(686\) 15.8705 + 20.8358i 0.605937 + 0.795513i
\(687\) 3.43156 0.130922
\(688\) 7.06462 4.70552i 0.269336 0.179396i
\(689\) 4.25747 2.45805i 0.162197 0.0936442i
\(690\) 0.419639 0.899980i 0.0159754 0.0342617i
\(691\) −20.6242 11.9074i −0.784581 0.452978i 0.0534703 0.998569i \(-0.482972\pi\)
−0.838051 + 0.545591i \(0.816305\pi\)
\(692\) −18.6627 + 11.5864i −0.709451 + 0.440447i
\(693\) 9.99256 + 5.28486i 0.379586 + 0.200755i
\(694\) 15.4913 27.8514i 0.588044 1.05723i
\(695\) 18.2596 + 26.9846i 0.692626 + 1.02359i
\(696\) −1.19393 1.85619i −0.0452558 0.0703587i
\(697\) 11.7303 6.77249i 0.444317 0.256527i
\(698\) 2.76849 1.65800i 0.104789 0.0627561i
\(699\) 3.12108i 0.118050i
\(700\) 5.55933 + 25.8668i 0.210123 + 0.977675i
\(701\) 19.4072i 0.733001i −0.930418 0.366501i \(-0.880556\pi\)
0.930418 0.366501i \(-0.119444\pi\)
\(702\) 0.729067 + 1.21738i 0.0275169 + 0.0459471i
\(703\) −28.2272 + 16.2970i −1.06461 + 0.614653i
\(704\) 6.66878 + 9.34945i 0.251339 + 0.352371i
\(705\) 1.37337 + 2.02962i 0.0517243 + 0.0764398i
\(706\) 10.7464 + 5.97729i 0.404446 + 0.224958i
\(707\) 0.904920 + 24.3700i 0.0340330 + 0.916527i
\(708\) −2.01958 + 1.25381i −0.0759005 + 0.0471211i
\(709\) −9.70905 5.60552i −0.364631 0.210520i 0.306479 0.951877i \(-0.400849\pi\)
−0.671110 + 0.741357i \(0.734182\pi\)
\(710\) −14.6157 6.81496i −0.548519 0.255761i
\(711\) −8.33860 + 4.81429i −0.312722 + 0.180550i
\(712\) −14.3782 + 27.9167i −0.538846 + 1.04622i
\(713\) −20.0884 −0.752316
\(714\) 0.865236 1.70129i 0.0323807 0.0636691i
\(715\) 1.52990 3.14859i 0.0572149 0.117750i
\(716\) −28.7766 + 0.921020i −1.07543 + 0.0344201i
\(717\) −3.74486 + 2.16210i −0.139854 + 0.0807450i
\(718\) −15.4452 + 0.247104i −0.576408 + 0.00922184i
\(719\) 15.1911 26.3118i 0.566534 0.981265i −0.430371 0.902652i \(-0.641617\pi\)
0.996905 0.0786133i \(-0.0250492\pi\)
\(720\) 21.0485 16.2982i 0.784429 0.607398i
\(721\) −10.5835 16.8542i −0.394151 0.627684i
\(722\) 6.02886 + 3.35334i 0.224371 + 0.124798i
\(723\) −2.90406 1.67666i −0.108003 0.0623556i
\(724\) 4.12597 7.70562i 0.153341 0.286377i
\(725\) 23.5249 + 9.42368i 0.873695 + 0.349987i
\(726\) −1.66974 + 0.999975i −0.0619698 + 0.0371125i
\(727\) 5.27724i 0.195722i −0.995200 0.0978611i \(-0.968800\pi\)
0.995200 0.0978611i \(-0.0312001\pi\)
\(728\) −7.38892 3.46495i −0.273852 0.128420i
\(729\) −25.7285 −0.952909
\(730\) 30.3923 2.65978i 1.12487 0.0984429i
\(731\) 6.08935 3.51569i 0.225223 0.130032i
\(732\) −1.12514 + 2.10130i −0.0415863 + 0.0776662i
\(733\) −43.5098 25.1204i −1.60707 0.927843i −0.990021 0.140920i \(-0.954994\pi\)
−0.617051 0.786923i \(-0.711673\pi\)
\(734\) 9.71988 17.4751i 0.358767 0.645017i
\(735\) −0.349442 2.38426i −0.0128894 0.0879447i
\(736\) 9.49954 6.54912i 0.350158 0.241404i
\(737\) 15.8264 + 9.13738i 0.582973 + 0.336580i
\(738\) −17.2042 + 0.275246i −0.633294 + 0.0101319i
\(739\) 16.0613 + 27.8190i 0.590825 + 1.02334i 0.994122 + 0.108270i \(0.0345310\pi\)
−0.403296 + 0.915069i \(0.632136\pi\)
\(740\) 35.4128 + 15.8275i 1.30180 + 0.581830i
\(741\) −0.630930 −0.0231778
\(742\) 9.19701 + 14.1388i 0.337633 + 0.519053i
\(743\) −9.26158 −0.339774 −0.169887 0.985464i \(-0.554340\pi\)
−0.169887 + 0.985464i \(0.554340\pi\)
\(744\) 3.81257 + 1.96362i 0.139775 + 0.0719898i
\(745\) 15.1682 1.08325i 0.555718 0.0396873i
\(746\) −0.326251 20.3922i −0.0119449 0.746611i
\(747\) 13.0981 22.6865i 0.479233 0.830056i
\(748\) 5.01762 + 8.08215i 0.183463 + 0.295513i
\(749\) 10.9005 + 17.3590i 0.398295 + 0.634284i
\(750\) 0.704726 2.32995i 0.0257330 0.0850777i
\(751\) −38.8410 22.4249i −1.41733 0.818294i −0.421264 0.906938i \(-0.638413\pi\)
−0.996063 + 0.0886436i \(0.971747\pi\)
\(752\) 1.82087 + 28.4168i 0.0664003 + 1.03625i
\(753\) 0.662303 0.382381i 0.0241357 0.0139347i
\(754\) −6.70632 + 4.01629i −0.244230 + 0.146265i
\(755\) −1.22560 + 2.52233i −0.0446041 + 0.0917971i
\(756\) −4.03809 + 2.71960i −0.146864 + 0.0989110i
\(757\) −20.8029 −0.756093 −0.378047 0.925787i \(-0.623404\pi\)
−0.378047 + 0.925787i \(0.623404\pi\)
\(758\) 9.61528 5.75841i 0.349243 0.209155i
\(759\) −0.225387 0.390382i −0.00818104 0.0141700i
\(760\) 2.82840 + 23.5982i 0.102597 + 0.855997i
\(761\) 1.83269 + 1.05810i 0.0664348 + 0.0383562i 0.532849 0.846210i \(-0.321121\pi\)
−0.466415 + 0.884566i \(0.654455\pi\)
\(762\) −3.63627 2.02254i −0.131728 0.0732690i
\(763\) −41.3994 + 1.53727i −1.49876 + 0.0556528i
\(764\) 30.5524 18.9678i 1.10535 0.686230i
\(765\) 18.2634 12.3583i 0.660316 0.446814i
\(766\) −32.6242 + 0.521949i −1.17876 + 0.0188588i
\(767\) 4.20976 + 7.29152i 0.152006 + 0.263282i
\(768\) −2.44309 + 0.314383i −0.0881573 + 0.0113443i
\(769\) 28.4014i 1.02418i −0.858931 0.512091i \(-0.828871\pi\)
0.858931 0.512091i \(-0.171129\pi\)
\(770\) 11.0661 + 4.66810i 0.398793 + 0.168227i
\(771\) 3.14592 0.113298
\(772\) −0.642473 20.0736i −0.0231231 0.722466i
\(773\) 41.9911 24.2436i 1.51031 0.871980i 0.510387 0.859945i \(-0.329502\pi\)
0.999928 0.0120354i \(-0.00383107\pi\)
\(774\) −8.93090 +