Properties

Label 105.2.x.a.2.5
Level 105
Weight 2
Character 105.2
Analytic conductor 0.838
Analytic rank 0
Dimension 48
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 105.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.838429221223\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(12\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 2.5
Character \(\chi\) = 105.2
Dual form 105.2.x.a.53.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.243110 - 0.907300i) q^{2} +(-1.70312 + 0.315275i) q^{3} +(0.967960 - 0.558852i) q^{4} +(-1.66520 - 1.49235i) q^{5} +(0.700094 + 1.46859i) q^{6} +(0.0144144 - 2.64571i) q^{7} +(-2.07075 - 2.07075i) q^{8} +(2.80120 - 1.07390i) q^{9} +O(q^{10})\) \(q+(-0.243110 - 0.907300i) q^{2} +(-1.70312 + 0.315275i) q^{3} +(0.967960 - 0.558852i) q^{4} +(-1.66520 - 1.49235i) q^{5} +(0.700094 + 1.46859i) q^{6} +(0.0144144 - 2.64571i) q^{7} +(-2.07075 - 2.07075i) q^{8} +(2.80120 - 1.07390i) q^{9} +(-0.949181 + 1.87364i) q^{10} +(-0.630122 + 0.363801i) q^{11} +(-1.47235 + 1.25696i) q^{12} +(-1.44243 + 1.44243i) q^{13} +(-2.40396 + 0.630122i) q^{14} +(3.30653 + 2.01665i) q^{15} +(-0.257666 + 0.446291i) q^{16} +(7.09105 + 1.90004i) q^{17} +(-1.65535 - 2.28046i) q^{18} +(-0.664374 - 0.383576i) q^{19} +(-2.44585 - 0.513933i) q^{20} +(0.809577 + 4.51050i) q^{21} +(0.483266 + 0.483266i) q^{22} +(3.13584 - 0.840245i) q^{23} +(4.17958 + 2.87387i) q^{24} +(0.545788 + 4.97012i) q^{25} +(1.65938 + 0.958046i) q^{26} +(-4.43220 + 2.71212i) q^{27} +(-1.46461 - 2.56900i) q^{28} +4.07354 q^{29} +(1.02585 - 3.49028i) q^{30} +(-0.209930 - 0.363609i) q^{31} +(-5.18983 - 1.39061i) q^{32} +(0.958473 - 0.818257i) q^{33} -6.89563i q^{34} +(-3.97233 + 4.38413i) q^{35} +(2.11130 - 2.60495i) q^{36} +(6.08510 - 1.63050i) q^{37} +(-0.186503 + 0.696038i) q^{38} +(2.00186 - 2.91138i) q^{39} +(0.357932 + 6.53849i) q^{40} -4.44452i q^{41} +(3.89556 - 1.83108i) q^{42} +(-5.15881 + 5.15881i) q^{43} +(-0.406622 + 0.704289i) q^{44} +(-6.26720 - 2.39212i) q^{45} +(-1.52471 - 2.64087i) q^{46} +(-1.82022 - 6.79316i) q^{47} +(0.298131 - 0.841320i) q^{48} +(-6.99958 - 0.0762729i) q^{49} +(4.37671 - 1.70348i) q^{50} +(-12.6759 - 1.00036i) q^{51} +(-0.590109 + 2.20232i) q^{52} +(-1.41169 + 5.26849i) q^{53} +(3.53822 + 3.36199i) q^{54} +(1.59220 + 0.334560i) q^{55} +(-5.50845 + 5.44875i) q^{56} +(1.25244 + 0.443814i) q^{57} +(-0.990320 - 3.69592i) q^{58} +(0.807790 + 1.39913i) q^{59} +(4.32759 + 0.104173i) q^{60} +(4.78904 - 8.29486i) q^{61} +(-0.278866 + 0.278866i) q^{62} +(-2.80085 - 7.42666i) q^{63} +6.07747i q^{64} +(4.55454 - 0.249326i) q^{65} +(-0.975419 - 0.670696i) q^{66} +(1.84979 - 6.90351i) q^{67} +(7.92569 - 2.12368i) q^{68} +(-5.07578 + 2.41969i) q^{69} +(4.94344 + 2.53827i) q^{70} +7.06501i q^{71} +(-8.02436 - 3.57681i) q^{72} +(15.2439 + 4.08458i) q^{73} +(-2.95870 - 5.12462i) q^{74} +(-2.49649 - 8.29262i) q^{75} -0.857449 q^{76} +(0.953430 + 1.67236i) q^{77} +(-3.12817 - 1.10850i) q^{78} +(-5.80845 - 3.35351i) q^{79} +(1.09509 - 0.358636i) q^{80} +(6.69348 - 6.01642i) q^{81} +(-4.03251 + 1.08051i) q^{82} +(1.83008 + 1.83008i) q^{83} +(3.30434 + 3.91355i) q^{84} +(-8.97250 - 13.7463i) q^{85} +(5.93475 + 3.42643i) q^{86} +(-6.93771 + 1.28428i) q^{87} +(2.05816 + 0.551483i) q^{88} +(-6.94977 + 12.0373i) q^{89} +(-0.646746 + 6.26778i) q^{90} +(3.79546 + 3.83704i) q^{91} +(2.56579 - 2.56579i) q^{92} +(0.472171 + 0.553082i) q^{93} +(-5.72092 + 3.30298i) q^{94} +(0.533886 + 1.63021i) q^{95} +(9.27730 + 0.732146i) q^{96} +(5.62554 + 5.62554i) q^{97} +(1.63247 + 6.36927i) q^{98} +(-1.37441 + 1.69577i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 2q^{3} - 24q^{6} - 12q^{7} + O(q^{10}) \) \( 48q - 2q^{3} - 24q^{6} - 12q^{7} - 8q^{10} - 10q^{12} - 16q^{13} + 4q^{15} - 8q^{16} + 14q^{18} - 28q^{21} - 8q^{22} + 4q^{25} + 40q^{27} - 60q^{28} + 40q^{30} - 24q^{31} - 4q^{33} + 8q^{36} + 4q^{37} - 16q^{40} + 14q^{42} + 16q^{43} + 40q^{45} - 32q^{46} + 44q^{48} + 8q^{51} + 36q^{52} - 40q^{55} - 88q^{57} + 56q^{58} - 50q^{60} - 8q^{61} + 44q^{63} + 76q^{66} + 12q^{67} + 140q^{70} - 34q^{72} + 52q^{73} + 6q^{75} + 64q^{76} - 120q^{78} + 20q^{81} + 104q^{82} - 24q^{85} - 46q^{87} - 84q^{90} + 72q^{91} - 44q^{93} + 12q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.243110 0.907300i −0.171905 0.641558i −0.997058 0.0766491i \(-0.975578\pi\)
0.825153 0.564909i \(-0.191089\pi\)
\(3\) −1.70312 + 0.315275i −0.983294 + 0.182024i
\(4\) 0.967960 0.558852i 0.483980 0.279426i
\(5\) −1.66520 1.49235i −0.744700 0.667399i
\(6\) 0.700094 + 1.46859i 0.285812 + 0.599550i
\(7\) 0.0144144 2.64571i 0.00544814 0.999985i
\(8\) −2.07075 2.07075i −0.732120 0.732120i
\(9\) 2.80120 1.07390i 0.933734 0.357966i
\(10\) −0.949181 + 1.87364i −0.300157 + 0.592498i
\(11\) −0.630122 + 0.363801i −0.189989 + 0.109690i −0.591977 0.805955i \(-0.701653\pi\)
0.401988 + 0.915645i \(0.368319\pi\)
\(12\) −1.47235 + 1.25696i −0.425032 + 0.362854i
\(13\) −1.44243 + 1.44243i −0.400058 + 0.400058i −0.878253 0.478196i \(-0.841291\pi\)
0.478196 + 0.878253i \(0.341291\pi\)
\(14\) −2.40396 + 0.630122i −0.642485 + 0.168407i
\(15\) 3.30653 + 2.01665i 0.853742 + 0.520696i
\(16\) −0.257666 + 0.446291i −0.0644165 + 0.111573i
\(17\) 7.09105 + 1.90004i 1.71983 + 0.460828i 0.977801 0.209538i \(-0.0671958\pi\)
0.742031 + 0.670365i \(0.233863\pi\)
\(18\) −1.65535 2.28046i −0.390170 0.537509i
\(19\) −0.664374 0.383576i −0.152418 0.0879985i 0.421851 0.906665i \(-0.361380\pi\)
−0.574269 + 0.818667i \(0.694714\pi\)
\(20\) −2.44585 0.513933i −0.546908 0.114919i
\(21\) 0.809577 + 4.51050i 0.176664 + 0.984271i
\(22\) 0.483266 + 0.483266i 0.103033 + 0.103033i
\(23\) 3.13584 0.840245i 0.653867 0.175203i 0.0833906 0.996517i \(-0.473425\pi\)
0.570477 + 0.821314i \(0.306758\pi\)
\(24\) 4.17958 + 2.87387i 0.853152 + 0.586626i
\(25\) 0.545788 + 4.97012i 0.109158 + 0.994024i
\(26\) 1.65938 + 0.958046i 0.325432 + 0.187888i
\(27\) −4.43220 + 2.71212i −0.852977 + 0.521948i
\(28\) −1.46461 2.56900i −0.276785 0.485495i
\(29\) 4.07354 0.756437 0.378219 0.925716i \(-0.376537\pi\)
0.378219 + 0.925716i \(0.376537\pi\)
\(30\) 1.02585 3.49028i 0.187294 0.637236i
\(31\) −0.209930 0.363609i −0.0377045 0.0653060i 0.846557 0.532297i \(-0.178671\pi\)
−0.884262 + 0.466991i \(0.845338\pi\)
\(32\) −5.18983 1.39061i −0.917440 0.245827i
\(33\) 0.958473 0.818257i 0.166849 0.142440i
\(34\) 6.89563i 1.18259i
\(35\) −3.97233 + 4.38413i −0.671446 + 0.741053i
\(36\) 2.11130 2.60495i 0.351884 0.434158i
\(37\) 6.08510 1.63050i 1.00038 0.268052i 0.278778 0.960356i \(-0.410071\pi\)
0.721607 + 0.692303i \(0.243404\pi\)
\(38\) −0.186503 + 0.696038i −0.0302548 + 0.112912i
\(39\) 2.00186 2.91138i 0.320554 0.466194i
\(40\) 0.357932 + 6.53849i 0.0565940 + 1.03383i
\(41\) 4.44452i 0.694117i −0.937843 0.347058i \(-0.887181\pi\)
0.937843 0.347058i \(-0.112819\pi\)
\(42\) 3.89556 1.83108i 0.601098 0.282542i
\(43\) −5.15881 + 5.15881i −0.786711 + 0.786711i −0.980953 0.194243i \(-0.937775\pi\)
0.194243 + 0.980953i \(0.437775\pi\)
\(44\) −0.406622 + 0.704289i −0.0613005 + 0.106176i
\(45\) −6.26720 2.39212i −0.934259 0.356596i
\(46\) −1.52471 2.64087i −0.224806 0.389376i
\(47\) −1.82022 6.79316i −0.265507 0.990885i −0.961939 0.273263i \(-0.911897\pi\)
0.696433 0.717622i \(-0.254769\pi\)
\(48\) 0.298131 0.841320i 0.0430315 0.121434i
\(49\) −6.99958 0.0762729i −0.999941 0.0108961i
\(50\) 4.37671 1.70348i 0.618960 0.240909i
\(51\) −12.6759 1.00036i −1.77498 0.140078i
\(52\) −0.590109 + 2.20232i −0.0818334 + 0.305406i
\(53\) −1.41169 + 5.26849i −0.193910 + 0.723683i 0.798636 + 0.601814i \(0.205555\pi\)
−0.992546 + 0.121869i \(0.961111\pi\)
\(54\) 3.53822 + 3.36199i 0.481491 + 0.457509i
\(55\) 1.59220 + 0.334560i 0.214692 + 0.0451121i
\(56\) −5.50845 + 5.44875i −0.736098 + 0.728120i
\(57\) 1.25244 + 0.443814i 0.165889 + 0.0587846i
\(58\) −0.990320 3.69592i −0.130035 0.485298i
\(59\) 0.807790 + 1.39913i 0.105165 + 0.182152i 0.913806 0.406152i \(-0.133130\pi\)
−0.808640 + 0.588303i \(0.799796\pi\)
\(60\) 4.32759 + 0.104173i 0.558690 + 0.0134486i
\(61\) 4.78904 8.29486i 0.613174 1.06205i −0.377528 0.925998i \(-0.623226\pi\)
0.990702 0.136050i \(-0.0434409\pi\)
\(62\) −0.278866 + 0.278866i −0.0354160 + 0.0354160i
\(63\) −2.80085 7.42666i −0.352874 0.935671i
\(64\) 6.07747i 0.759683i
\(65\) 4.55454 0.249326i 0.564921 0.0309251i
\(66\) −0.975419 0.670696i −0.120066 0.0825570i
\(67\) 1.84979 6.90351i 0.225988 0.843397i −0.756019 0.654550i \(-0.772858\pi\)
0.982006 0.188847i \(-0.0604752\pi\)
\(68\) 7.92569 2.12368i 0.961131 0.257534i
\(69\) −5.07578 + 2.41969i −0.611053 + 0.291296i
\(70\) 4.94344 + 2.53827i 0.590854 + 0.303381i
\(71\) 7.06501i 0.838462i 0.907880 + 0.419231i \(0.137700\pi\)
−0.907880 + 0.419231i \(0.862300\pi\)
\(72\) −8.02436 3.57681i −0.945680 0.421531i
\(73\) 15.2439 + 4.08458i 1.78416 + 0.478064i 0.991332 0.131381i \(-0.0419410\pi\)
0.792828 + 0.609445i \(0.208608\pi\)
\(74\) −2.95870 5.12462i −0.343942 0.595726i
\(75\) −2.49649 8.29262i −0.288270 0.957549i
\(76\) −0.857449 −0.0983562
\(77\) 0.953430 + 1.67236i 0.108653 + 0.190584i
\(78\) −3.12817 1.10850i −0.354196 0.125513i
\(79\) −5.80845 3.35351i −0.653502 0.377300i 0.136294 0.990668i \(-0.456481\pi\)
−0.789797 + 0.613369i \(0.789814\pi\)
\(80\) 1.09509 0.358636i 0.122434 0.0400967i
\(81\) 6.69348 6.01642i 0.743720 0.668491i
\(82\) −4.03251 + 1.08051i −0.445316 + 0.119322i
\(83\) 1.83008 + 1.83008i 0.200877 + 0.200877i 0.800376 0.599499i \(-0.204633\pi\)
−0.599499 + 0.800376i \(0.704633\pi\)
\(84\) 3.30434 + 3.91355i 0.360533 + 0.427003i
\(85\) −8.97250 13.7463i −0.973204 1.49099i
\(86\) 5.93475 + 3.42643i 0.639960 + 0.369481i
\(87\) −6.93771 + 1.28428i −0.743800 + 0.137690i
\(88\) 2.05816 + 0.551483i 0.219401 + 0.0587883i
\(89\) −6.94977 + 12.0373i −0.736674 + 1.27596i 0.217311 + 0.976102i \(0.430271\pi\)
−0.953985 + 0.299854i \(0.903062\pi\)
\(90\) −0.646746 + 6.26778i −0.0681730 + 0.660682i
\(91\) 3.79546 + 3.83704i 0.397872 + 0.402231i
\(92\) 2.56579 2.56579i 0.267502 0.267502i
\(93\) 0.472171 + 0.553082i 0.0489618 + 0.0573519i
\(94\) −5.72092 + 3.30298i −0.590068 + 0.340676i
\(95\) 0.533886 + 1.63021i 0.0547755 + 0.167256i
\(96\) 9.27730 + 0.732146i 0.946860 + 0.0747244i
\(97\) 5.62554 + 5.62554i 0.571187 + 0.571187i 0.932460 0.361273i \(-0.117658\pi\)
−0.361273 + 0.932460i \(0.617658\pi\)
\(98\) 1.63247 + 6.36927i 0.164904 + 0.643393i
\(99\) −1.37441 + 1.69577i −0.138134 + 0.170431i
\(100\) 3.30586 + 4.50586i 0.330586 + 0.450586i
\(101\) 4.57480 2.64126i 0.455209 0.262815i −0.254818 0.966989i \(-0.582016\pi\)
0.710028 + 0.704174i \(0.248682\pi\)
\(102\) 2.17402 + 11.7441i 0.215260 + 1.16283i
\(103\) 1.87961 + 7.01482i 0.185204 + 0.691190i 0.994587 + 0.103909i \(0.0331351\pi\)
−0.809383 + 0.587281i \(0.800198\pi\)
\(104\) 5.97381 0.585780
\(105\) 5.38313 8.71906i 0.525339 0.850893i
\(106\) 5.12330 0.497619
\(107\) 4.74035 + 17.6912i 0.458267 + 1.71028i 0.678302 + 0.734783i \(0.262716\pi\)
−0.220035 + 0.975492i \(0.570617\pi\)
\(108\) −2.77451 + 5.10217i −0.266978 + 0.490956i
\(109\) −5.47383 + 3.16032i −0.524298 + 0.302704i −0.738691 0.674044i \(-0.764556\pi\)
0.214393 + 0.976747i \(0.431223\pi\)
\(110\) −0.0835333 1.52594i −0.00796459 0.145492i
\(111\) −9.84958 + 4.69541i −0.934880 + 0.445668i
\(112\) 1.17704 + 0.688143i 0.111220 + 0.0650234i
\(113\) −7.98925 7.98925i −0.751566 0.751566i 0.223206 0.974771i \(-0.428348\pi\)
−0.974771 + 0.223206i \(0.928348\pi\)
\(114\) 0.0981924 1.24423i 0.00919656 0.116533i
\(115\) −6.47574 3.28059i −0.603866 0.305916i
\(116\) 3.94302 2.27650i 0.366100 0.211368i
\(117\) −2.49151 + 5.58956i −0.230340 + 0.516755i
\(118\) 1.07305 1.07305i 0.0987824 0.0987824i
\(119\) 5.12917 18.7335i 0.470191 1.71730i
\(120\) −2.67102 11.0230i −0.243830 1.00625i
\(121\) −5.23530 + 9.06780i −0.475936 + 0.824346i
\(122\) −8.69020 2.32853i −0.786774 0.210815i
\(123\) 1.40125 + 7.56953i 0.126346 + 0.682521i
\(124\) −0.406407 0.234639i −0.0364964 0.0210712i
\(125\) 6.50831 9.09076i 0.582121 0.813102i
\(126\) −6.05729 + 4.34671i −0.539627 + 0.387236i
\(127\) −1.07524 1.07524i −0.0954126 0.0954126i 0.657789 0.753202i \(-0.271492\pi\)
−0.753202 + 0.657789i \(0.771492\pi\)
\(128\) −4.86556 + 1.30372i −0.430059 + 0.115234i
\(129\) 7.15960 10.4125i 0.630368 0.916768i
\(130\) −1.33347 4.07172i −0.116953 0.357114i
\(131\) −9.65210 5.57264i −0.843308 0.486884i 0.0150794 0.999886i \(-0.495200\pi\)
−0.858387 + 0.513002i \(0.828533\pi\)
\(132\) 0.470479 1.32768i 0.0409499 0.115560i
\(133\) −1.02441 + 1.75221i −0.0888275 + 0.151936i
\(134\) −6.71326 −0.579937
\(135\) 11.4279 + 2.09816i 0.983560 + 0.180581i
\(136\) −10.7493 18.6183i −0.921742 1.59650i
\(137\) −11.1402 2.98501i −0.951771 0.255026i −0.250657 0.968076i \(-0.580647\pi\)
−0.701114 + 0.713050i \(0.747313\pi\)
\(138\) 3.42936 + 4.01701i 0.291926 + 0.341951i
\(139\) 1.33168i 0.112952i 0.998404 + 0.0564760i \(0.0179864\pi\)
−0.998404 + 0.0564760i \(0.982014\pi\)
\(140\) −1.39498 + 6.46360i −0.117897 + 0.546274i
\(141\) 5.24176 + 10.9957i 0.441436 + 0.926003i
\(142\) 6.41009 1.71758i 0.537922 0.144136i
\(143\) 0.384149 1.43366i 0.0321241 0.119889i
\(144\) −0.242504 + 1.52686i −0.0202086 + 0.127238i
\(145\) −6.78326 6.07914i −0.563319 0.504845i
\(146\) 14.8238i 1.22682i
\(147\) 11.9451 2.07689i 0.985219 0.171299i
\(148\) 4.97893 4.97893i 0.409265 0.409265i
\(149\) 0.650455 1.12662i 0.0532873 0.0922963i −0.838151 0.545438i \(-0.816363\pi\)
0.891439 + 0.453141i \(0.149697\pi\)
\(150\) −6.91697 + 4.28109i −0.564768 + 0.349550i
\(151\) 1.58575 + 2.74659i 0.129046 + 0.223515i 0.923307 0.384062i \(-0.125475\pi\)
−0.794261 + 0.607577i \(0.792142\pi\)
\(152\) 0.581460 + 2.17004i 0.0471627 + 0.176013i
\(153\) 21.9039 2.29267i 1.77083 0.185352i
\(154\) 1.28555 1.27162i 0.103592 0.102470i
\(155\) −0.193056 + 0.918770i −0.0155066 + 0.0737974i
\(156\) 0.310688 3.93684i 0.0248750 0.315200i
\(157\) −1.11744 + 4.17033i −0.0891812 + 0.332829i −0.996073 0.0885346i \(-0.971782\pi\)
0.906892 + 0.421363i \(0.138448\pi\)
\(158\) −1.63055 + 6.08529i −0.129719 + 0.484119i
\(159\) 0.743244 9.41792i 0.0589431 0.746890i
\(160\) 6.56683 + 10.0607i 0.519153 + 0.795366i
\(161\) −2.17785 8.30864i −0.171638 0.654812i
\(162\) −7.08596 4.61034i −0.556725 0.362223i
\(163\) −2.47403 9.23320i −0.193781 0.723200i −0.992579 0.121601i \(-0.961197\pi\)
0.798798 0.601599i \(-0.205470\pi\)
\(164\) −2.48383 4.30211i −0.193954 0.335939i
\(165\) −2.81717 0.0678143i −0.219317 0.00527934i
\(166\) 1.21552 2.10534i 0.0943426 0.163406i
\(167\) 5.52186 5.52186i 0.427294 0.427294i −0.460411 0.887706i \(-0.652298\pi\)
0.887706 + 0.460411i \(0.152298\pi\)
\(168\) 7.66367 11.0165i 0.591265 0.849944i
\(169\) 8.83880i 0.679908i
\(170\) −10.2907 + 11.4826i −0.789260 + 0.880676i
\(171\) −2.27297 0.361005i −0.173818 0.0276067i
\(172\) −2.11051 + 7.87652i −0.160925 + 0.600579i
\(173\) −12.9233 + 3.46278i −0.982539 + 0.263271i −0.714114 0.700030i \(-0.753170\pi\)
−0.268426 + 0.963300i \(0.586503\pi\)
\(174\) 2.85186 + 5.98236i 0.216199 + 0.453522i
\(175\) 13.1574 1.37236i 0.994604 0.103740i
\(176\) 0.374957i 0.0282634i
\(177\) −1.81687 2.12821i −0.136564 0.159966i
\(178\) 12.6110 + 3.37912i 0.945238 + 0.253276i
\(179\) 6.35437 + 11.0061i 0.474948 + 0.822633i 0.999588 0.0286903i \(-0.00913367\pi\)
−0.524641 + 0.851324i \(0.675800\pi\)
\(180\) −7.40323 + 1.18696i −0.551804 + 0.0884711i
\(181\) −9.56008 −0.710595 −0.355298 0.934753i \(-0.615620\pi\)
−0.355298 + 0.934753i \(0.615620\pi\)
\(182\) 2.55863 4.37644i 0.189659 0.324404i
\(183\) −5.54113 + 15.6370i −0.409612 + 1.15592i
\(184\) −8.23346 4.75359i −0.606979 0.350439i
\(185\) −12.5662 6.36599i −0.923885 0.468037i
\(186\) 0.387022 0.562861i 0.0283778 0.0412710i
\(187\) −5.15946 + 1.38247i −0.377297 + 0.101096i
\(188\) −5.55827 5.55827i −0.405379 0.405379i
\(189\) 7.11161 + 11.7654i 0.517294 + 0.855808i
\(190\) 1.34930 0.880716i 0.0978882 0.0638938i
\(191\) 4.05391 + 2.34053i 0.293331 + 0.169355i 0.639443 0.768839i \(-0.279165\pi\)
−0.346112 + 0.938193i \(0.612498\pi\)
\(192\) −1.91607 10.3506i −0.138281 0.746992i
\(193\) −6.94190 1.86008i −0.499689 0.133891i 0.000166726 1.00000i \(-0.499947\pi\)
−0.499856 + 0.866109i \(0.666614\pi\)
\(194\) 3.73643 6.47168i 0.268260 0.464640i
\(195\) −7.67830 + 1.86056i −0.549854 + 0.133238i
\(196\) −6.81794 + 3.83790i −0.486996 + 0.274136i
\(197\) −3.81705 + 3.81705i −0.271954 + 0.271954i −0.829886 0.557933i \(-0.811595\pi\)
0.557933 + 0.829886i \(0.311595\pi\)
\(198\) 1.87271 + 0.834747i 0.133087 + 0.0593229i
\(199\) 10.1820 5.87860i 0.721785 0.416723i −0.0936244 0.995608i \(-0.529845\pi\)
0.815409 + 0.578885i \(0.196512\pi\)
\(200\) 9.16168 11.4221i 0.647829 0.807661i
\(201\) −0.973901 + 12.3407i −0.0686937 + 0.870443i
\(202\) −3.50860 3.50860i −0.246864 0.246864i
\(203\) 0.0587177 10.7774i 0.00412118 0.756426i
\(204\) −12.8288 + 6.11565i −0.898197 + 0.428181i
\(205\) −6.63277 + 7.40101i −0.463253 + 0.516909i
\(206\) 5.90759 3.41075i 0.411601 0.237638i
\(207\) 7.88178 5.72127i 0.547822 0.397656i
\(208\) −0.272077 1.01541i −0.0188652 0.0704058i
\(209\) 0.558182 0.0386103
\(210\) −9.21950 2.76442i −0.636206 0.190763i
\(211\) 25.4378 1.75121 0.875606 0.483025i \(-0.160462\pi\)
0.875606 + 0.483025i \(0.160462\pi\)
\(212\) 1.57785 + 5.88861i 0.108367 + 0.404432i
\(213\) −2.22742 12.0325i −0.152620 0.824455i
\(214\) 14.8988 8.60184i 1.01846 0.588010i
\(215\) 16.2892 0.891708i 1.11091 0.0608140i
\(216\) 14.7941 + 3.56184i 1.00661 + 0.242353i
\(217\) −0.965030 + 0.550172i −0.0655105 + 0.0373481i
\(218\) 4.19810 + 4.19810i 0.284331 + 0.284331i
\(219\) −27.2498 2.15050i −1.84137 0.145318i
\(220\) 1.72815 0.565962i 0.116512 0.0381571i
\(221\) −12.9690 + 7.48766i −0.872389 + 0.503674i
\(222\) 6.65468 + 7.79502i 0.446633 + 0.523168i
\(223\) −7.63840 + 7.63840i −0.511505 + 0.511505i −0.914987 0.403482i \(-0.867800\pi\)
0.403482 + 0.914987i \(0.367800\pi\)
\(224\) −3.75396 + 13.7107i −0.250822 + 0.916087i
\(225\) 6.86627 + 13.3362i 0.457752 + 0.889080i
\(226\) −5.30638 + 9.19092i −0.352975 + 0.611371i
\(227\) 0.782158 + 0.209579i 0.0519137 + 0.0139102i 0.284682 0.958622i \(-0.408112\pi\)
−0.232769 + 0.972532i \(0.574779\pi\)
\(228\) 1.46034 0.270332i 0.0967130 0.0179032i
\(229\) 14.0174 + 8.09297i 0.926299 + 0.534799i 0.885639 0.464374i \(-0.153721\pi\)
0.0406596 + 0.999173i \(0.487054\pi\)
\(230\) −1.40216 + 6.67298i −0.0924556 + 0.440004i
\(231\) −2.15106 2.54764i −0.141529 0.167622i
\(232\) −8.43527 8.43527i −0.553803 0.553803i
\(233\) 12.7754 3.42317i 0.836946 0.224259i 0.185204 0.982700i \(-0.440705\pi\)
0.651742 + 0.758441i \(0.274039\pi\)
\(234\) 5.67712 + 0.901670i 0.371125 + 0.0589440i
\(235\) −7.10674 + 14.0284i −0.463592 + 0.915111i
\(236\) 1.56382 + 0.902869i 0.101796 + 0.0587718i
\(237\) 10.9497 + 3.88016i 0.711263 + 0.252043i
\(238\) −18.2439 0.0993966i −1.18257 0.00644292i
\(239\) 0.0827799 0.00535459 0.00267729 0.999996i \(-0.499148\pi\)
0.00267729 + 0.999996i \(0.499148\pi\)
\(240\) −1.75199 + 0.956052i −0.113091 + 0.0617129i
\(241\) −7.25921 12.5733i −0.467607 0.809919i 0.531708 0.846928i \(-0.321550\pi\)
−0.999315 + 0.0370088i \(0.988217\pi\)
\(242\) 9.49997 + 2.54551i 0.610681 + 0.163632i
\(243\) −9.50294 + 12.3569i −0.609614 + 0.792698i
\(244\) 10.7055i 0.685347i
\(245\) 11.5419 + 10.5728i 0.737384 + 0.675474i
\(246\) 6.52718 3.11158i 0.416158 0.198387i
\(247\) 1.51159 0.405030i 0.0961803 0.0257714i
\(248\) −0.318231 + 1.18765i −0.0202077 + 0.0754160i
\(249\) −3.69381 2.53986i −0.234086 0.160957i
\(250\) −9.83029 3.69494i −0.621722 0.233688i
\(251\) 16.4075i 1.03563i 0.855493 + 0.517815i \(0.173254\pi\)
−0.855493 + 0.517815i \(0.826746\pi\)
\(252\) −6.86151 5.62344i −0.432235 0.354244i
\(253\) −1.67028 + 1.67028i −0.105009 + 0.105009i
\(254\) −0.714167 + 1.23697i −0.0448108 + 0.0776146i
\(255\) 19.6151 + 20.5827i 1.22834 + 1.28894i
\(256\) 8.44320 + 14.6241i 0.527700 + 0.914004i
\(257\) −0.356728 1.33133i −0.0222521 0.0830459i 0.953907 0.300103i \(-0.0970210\pi\)
−0.976159 + 0.217057i \(0.930354\pi\)
\(258\) −11.1878 3.96452i −0.696523 0.246820i
\(259\) −4.22612 16.1229i −0.262598 1.00183i
\(260\) 4.26927 2.78665i 0.264769 0.172821i
\(261\) 11.4108 4.37457i 0.706311 0.270779i
\(262\) −2.70953 + 10.1121i −0.167396 + 0.624729i
\(263\) 5.12625 19.1314i 0.316098 1.17969i −0.606865 0.794805i \(-0.707573\pi\)
0.922963 0.384888i \(-0.125760\pi\)
\(264\) −3.67916 0.290352i −0.226437 0.0178699i
\(265\) 10.2132 6.66637i 0.627390 0.409512i
\(266\) 1.83883 + 0.503466i 0.112746 + 0.0308695i
\(267\) 8.04118 22.6921i 0.492112 1.38873i
\(268\) −2.06752 7.71607i −0.126294 0.471334i
\(269\) 0.835235 + 1.44667i 0.0509252 + 0.0882050i 0.890364 0.455249i \(-0.150450\pi\)
−0.839439 + 0.543454i \(0.817116\pi\)
\(270\) −0.874591 10.8787i −0.0532259 0.662054i
\(271\) −0.646739 + 1.12018i −0.0392866 + 0.0680464i −0.885000 0.465591i \(-0.845842\pi\)
0.845714 + 0.533637i \(0.179175\pi\)
\(272\) −2.67509 + 2.67509i −0.162201 + 0.162201i
\(273\) −7.67383 5.33831i −0.464441 0.323089i
\(274\) 10.8332i 0.654457i
\(275\) −2.15205 2.93322i −0.129773 0.176880i
\(276\) −3.56091 + 5.17877i −0.214342 + 0.311725i
\(277\) 3.03017 11.3088i 0.182065 0.679477i −0.813174 0.582020i \(-0.802262\pi\)
0.995240 0.0974572i \(-0.0310709\pi\)
\(278\) 1.20824 0.323746i 0.0724653 0.0194170i
\(279\) −0.978534 0.793099i −0.0585833 0.0474816i
\(280\) 17.3041 0.852737i 1.03412 0.0509608i
\(281\) 14.3020i 0.853186i 0.904444 + 0.426593i \(0.140286\pi\)
−0.904444 + 0.426593i \(0.859714\pi\)
\(282\) 8.70205 7.42902i 0.518199 0.442391i
\(283\) −10.0906 2.70377i −0.599823 0.160722i −0.0538844 0.998547i \(-0.517160\pi\)
−0.545939 + 0.837825i \(0.683827\pi\)
\(284\) 3.94829 + 6.83864i 0.234288 + 0.405799i
\(285\) −1.42323 2.60811i −0.0843051 0.154491i
\(286\) −1.39415 −0.0824380
\(287\) −11.7589 0.0640652i −0.694107 0.00378165i
\(288\) −16.0311 + 1.67797i −0.944644 + 0.0988753i
\(289\) 31.9504 + 18.4466i 1.87943 + 1.08509i
\(290\) −3.86653 + 7.63236i −0.227050 + 0.448187i
\(291\) −11.3545 7.80735i −0.665615 0.457675i
\(292\) 17.0381 4.56535i 0.997081 0.267167i
\(293\) 9.37059 + 9.37059i 0.547436 + 0.547436i 0.925698 0.378262i \(-0.123478\pi\)
−0.378262 + 0.925698i \(0.623478\pi\)
\(294\) −4.78835 10.3329i −0.279262 0.602628i
\(295\) 0.742863 3.53534i 0.0432511 0.205836i
\(296\) −15.9771 9.22436i −0.928648 0.536155i
\(297\) 1.80615 3.32141i 0.104804 0.192728i
\(298\) −1.18032 0.316265i −0.0683738 0.0183207i
\(299\) −3.31123 + 5.73521i −0.191493 + 0.331676i
\(300\) −7.05085 6.63175i −0.407081 0.382884i
\(301\) 13.5744 + 13.7231i 0.782413 + 0.790985i
\(302\) 2.10647 2.10647i 0.121214 0.121214i
\(303\) −6.95868 + 5.94069i −0.399766 + 0.341284i
\(304\) 0.342373 0.197669i 0.0196364 0.0113371i
\(305\) −20.3536 + 6.66569i −1.16544 + 0.381676i
\(306\) −7.40521 19.3161i −0.423328 1.10423i
\(307\) −16.7040 16.7040i −0.953350 0.953350i 0.0456091 0.998959i \(-0.485477\pi\)
−0.998959 + 0.0456091i \(0.985477\pi\)
\(308\) 1.85749 + 1.08596i 0.105840 + 0.0618781i
\(309\) −5.41280 11.3544i −0.307923 0.645932i
\(310\) 0.880534 0.0482025i 0.0500110 0.00273772i
\(311\) 13.5200 7.80578i 0.766649 0.442625i −0.0650288 0.997883i \(-0.520714\pi\)
0.831678 + 0.555258i \(0.187381\pi\)
\(312\) −10.1741 + 1.88339i −0.575994 + 0.106626i
\(313\) −4.23797 15.8163i −0.239544 0.893991i −0.976048 0.217557i \(-0.930191\pi\)
0.736504 0.676434i \(-0.236475\pi\)
\(314\) 4.05540 0.228860
\(315\) −6.41919 + 16.5467i −0.361680 + 0.932302i
\(316\) −7.49647 −0.421709
\(317\) −6.22945 23.2486i −0.349881 1.30577i −0.886805 0.462143i \(-0.847081\pi\)
0.536924 0.843630i \(-0.319586\pi\)
\(318\) −8.72557 + 1.61525i −0.489306 + 0.0905787i
\(319\) −2.56683 + 1.48196i −0.143715 + 0.0829737i
\(320\) 9.06970 10.1202i 0.507012 0.565736i
\(321\) −13.6510 28.6357i −0.761922 1.59829i
\(322\) −7.00897 + 3.99588i −0.390595 + 0.222681i
\(323\) −3.98230 3.98230i −0.221581 0.221581i
\(324\) 3.11673 9.56432i 0.173152 0.531351i
\(325\) −7.95630 6.38178i −0.441336 0.353998i
\(326\) −7.77582 + 4.48937i −0.430663 + 0.248643i
\(327\) 8.32620 7.10815i 0.460440 0.393081i
\(328\) −9.20347 + 9.20347i −0.508177 + 0.508177i
\(329\) −17.9990 + 4.71787i −0.992317 + 0.260104i
\(330\) 0.623356 + 2.57251i 0.0343146 + 0.141612i
\(331\) −4.82052 + 8.34938i −0.264960 + 0.458923i −0.967553 0.252668i \(-0.918692\pi\)
0.702594 + 0.711591i \(0.252025\pi\)
\(332\) 2.79418 + 0.748700i 0.153351 + 0.0410902i
\(333\) 15.2946 11.1021i 0.838140 0.608394i
\(334\) −6.35241 3.66756i −0.347588 0.200680i
\(335\) −13.3827 + 8.73519i −0.731176 + 0.477255i
\(336\) −2.22159 0.800895i −0.121198 0.0436924i
\(337\) −1.92766 1.92766i −0.105006 0.105006i 0.652652 0.757658i \(-0.273656\pi\)
−0.757658 + 0.652652i \(0.773656\pi\)
\(338\) 8.01945 2.14880i 0.436200 0.116880i
\(339\) 16.1254 + 11.0878i 0.875813 + 0.602207i
\(340\) −16.3671 8.29154i −0.887633 0.449672i
\(341\) 0.264562 + 0.152745i 0.0143269 + 0.00827162i
\(342\) 0.225042 + 2.15003i 0.0121689 + 0.116260i
\(343\) −0.302691 + 18.5178i −0.0163438 + 0.999866i
\(344\) 21.3652 1.15193
\(345\) 12.0632 + 3.54558i 0.649462 + 0.190888i
\(346\) 6.28357 + 10.8835i 0.337807 + 0.585099i
\(347\) 26.4715 + 7.09301i 1.42106 + 0.380773i 0.885861 0.463951i \(-0.153569\pi\)
0.535202 + 0.844724i \(0.320235\pi\)
\(348\) −5.99769 + 5.12029i −0.321510 + 0.274476i
\(349\) 4.09834i 0.219379i 0.993966 + 0.109690i \(0.0349857\pi\)
−0.993966 + 0.109690i \(0.965014\pi\)
\(350\) −4.44383 11.6041i −0.237533 0.620263i
\(351\) 2.48108 10.3052i 0.132430 0.550049i
\(352\) 3.77613 1.01181i 0.201268 0.0539297i
\(353\) −7.63696 + 28.5015i −0.406474 + 1.51698i 0.394846 + 0.918747i \(0.370798\pi\)
−0.801320 + 0.598236i \(0.795869\pi\)
\(354\) −1.48922 + 2.16584i −0.0791514 + 0.115113i
\(355\) 10.5435 11.7647i 0.559589 0.624403i
\(356\) 15.5356i 0.823383i
\(357\) −2.82938 + 33.5224i −0.149746 + 1.77419i
\(358\) 8.44101 8.44101i 0.446121 0.446121i
\(359\) 14.3554 24.8643i 0.757650 1.31229i −0.186396 0.982475i \(-0.559681\pi\)
0.944046 0.329814i \(-0.106986\pi\)
\(360\) 8.02432 + 17.9313i 0.422919 + 0.945060i
\(361\) −9.20574 15.9448i −0.484513 0.839200i
\(362\) 2.32415 + 8.67386i 0.122155 + 0.455888i
\(363\) 6.05746 17.0941i 0.317934 0.897206i
\(364\) 5.81819 + 1.59300i 0.304956 + 0.0834960i
\(365\) −19.2885 29.5508i −1.00961 1.54676i
\(366\) 15.5345 + 1.22596i 0.812003 + 0.0640817i
\(367\) −7.95050 + 29.6717i −0.415013 + 1.54885i 0.369797 + 0.929113i \(0.379427\pi\)
−0.784810 + 0.619737i \(0.787239\pi\)
\(368\) −0.433005 + 1.61600i −0.0225720 + 0.0842397i
\(369\) −4.77296 12.4500i −0.248471 0.648121i
\(370\) −2.72089 + 12.9489i −0.141453 + 0.673184i
\(371\) 13.9186 + 3.81086i 0.722616 + 0.197850i
\(372\) 0.766133 + 0.271487i 0.0397222 + 0.0140760i
\(373\) −6.29374 23.4885i −0.325877 1.21619i −0.913427 0.407003i \(-0.866574\pi\)
0.587550 0.809188i \(-0.300093\pi\)
\(374\) 2.50864 + 4.34509i 0.129719 + 0.224679i
\(375\) −8.21832 + 17.5345i −0.424392 + 0.905479i
\(376\) −10.2977 + 17.8361i −0.531064 + 0.919829i
\(377\) −5.87579 + 5.87579i −0.302618 + 0.302618i
\(378\) 8.94586 9.31266i 0.460125 0.478992i
\(379\) 8.45766i 0.434441i −0.976123 0.217220i \(-0.930301\pi\)
0.976123 0.217220i \(-0.0696990\pi\)
\(380\) 1.42783 + 1.27961i 0.0732459 + 0.0656428i
\(381\) 2.17026 + 1.49227i 0.111186 + 0.0764512i
\(382\) 1.13801 4.24712i 0.0582258 0.217302i
\(383\) 9.85308 2.64013i 0.503469 0.134904i 0.00185953 0.999998i \(-0.499408\pi\)
0.501610 + 0.865094i \(0.332741\pi\)
\(384\) 7.87559 3.75438i 0.401899 0.191590i
\(385\) 0.908100 4.20767i 0.0462811 0.214443i
\(386\) 6.75059i 0.343596i
\(387\) −8.91083 + 19.9909i −0.452963 + 1.01619i
\(388\) 8.58914 + 2.30145i 0.436048 + 0.116839i
\(389\) −8.33093 14.4296i −0.422395 0.731609i 0.573778 0.819011i \(-0.305477\pi\)
−0.996173 + 0.0874014i \(0.972144\pi\)
\(390\) 3.55476 + 6.51420i 0.180002 + 0.329859i
\(391\) 23.8329 1.20528
\(392\) 14.3364 + 14.6523i 0.724099 + 0.740054i
\(393\) 18.1956 + 6.44779i 0.917844 + 0.325248i
\(394\) 4.39118 + 2.53525i 0.221224 + 0.127724i
\(395\) 4.66763 + 14.2525i 0.234854 + 0.717122i
\(396\) −0.382694 + 2.40953i −0.0192311 + 0.121083i
\(397\) −9.23281 + 2.47392i −0.463381 + 0.124163i −0.482954 0.875646i \(-0.660436\pi\)
0.0195726 + 0.999808i \(0.493769\pi\)
\(398\) −7.80901 7.80901i −0.391430 0.391430i
\(399\) 1.19226 3.30719i 0.0596876 0.165567i
\(400\) −2.35875 1.03705i −0.117937 0.0518526i
\(401\) −17.1970 9.92869i −0.858777 0.495815i 0.00482553 0.999988i \(-0.498464\pi\)
−0.863603 + 0.504173i \(0.831797\pi\)
\(402\) 11.4334 2.11652i 0.570249 0.105562i
\(403\) 0.827288 + 0.221671i 0.0412101 + 0.0110422i
\(404\) 2.95215 5.11327i 0.146875 0.254394i
\(405\) −20.1246 + 0.0295385i −0.999999 + 0.00146778i
\(406\) −9.79262 + 2.56683i −0.486000 + 0.127389i
\(407\) −3.24118 + 3.24118i −0.160659 + 0.160659i
\(408\) 24.1771 + 28.3201i 1.19695 + 1.40205i
\(409\) −22.7311 + 13.1238i −1.12398 + 0.648930i −0.942414 0.334448i \(-0.891450\pi\)
−0.181566 + 0.983379i \(0.558117\pi\)
\(410\) 8.32744 + 4.21865i 0.411263 + 0.208344i
\(411\) 19.9141 + 1.57158i 0.982292 + 0.0775206i
\(412\) 5.73963 + 5.73963i 0.282771 + 0.282771i
\(413\) 3.71335 2.11701i 0.182722 0.104171i
\(414\) −7.10705 5.76024i −0.349293 0.283100i
\(415\) −0.316332 5.77857i −0.0155281 0.283659i
\(416\) 9.49181 5.48010i 0.465374 0.268684i
\(417\) −0.419847 2.26801i −0.0205600 0.111065i
\(418\) −0.135700 0.506439i −0.00663730 0.0247707i
\(419\) −23.9293 −1.16902 −0.584511 0.811386i \(-0.698714\pi\)
−0.584511 + 0.811386i \(0.698714\pi\)
\(420\) 0.337991 11.4481i 0.0164923 0.558608i
\(421\) −9.89428 −0.482218 −0.241109 0.970498i \(-0.577511\pi\)
−0.241109 + 0.970498i \(0.577511\pi\)
\(422\) −6.18420 23.0798i −0.301042 1.12350i
\(423\) −12.3940 17.0743i −0.602616 0.830181i
\(424\) 13.8330 7.98647i 0.671788 0.387857i
\(425\) −5.57323 + 36.2804i −0.270341 + 1.75986i
\(426\) −10.3756 + 4.94617i −0.502700 + 0.239643i
\(427\) −21.8768 12.7900i −1.05869 0.618951i
\(428\) 14.4752 + 14.4752i 0.699687 + 0.699687i
\(429\) −0.202252 + 2.56280i −0.00976480 + 0.123733i
\(430\) −4.76912 14.5624i −0.229987 0.702261i
\(431\) 27.8066 16.0542i 1.33940 0.773302i 0.352680 0.935744i \(-0.385271\pi\)
0.986718 + 0.162443i \(0.0519372\pi\)
\(432\) −0.0683684 2.67687i −0.00328938 0.128791i
\(433\) 13.5310 13.5310i 0.650257 0.650257i −0.302798 0.953055i \(-0.597921\pi\)
0.953055 + 0.302798i \(0.0979208\pi\)
\(434\) 0.733780 + 0.741819i 0.0352226 + 0.0356085i
\(435\) 13.4693 + 8.21489i 0.645802 + 0.393874i
\(436\) −3.53230 + 6.11812i −0.169166 + 0.293005i
\(437\) −2.40567 0.644596i −0.115079 0.0308352i
\(438\) 4.67357 + 25.2466i 0.223312 + 1.20633i
\(439\) 29.4491 + 17.0025i 1.40553 + 0.811483i 0.994953 0.100343i \(-0.0319941\pi\)
0.410577 + 0.911826i \(0.365327\pi\)
\(440\) −2.60425 3.98983i −0.124153 0.190208i
\(441\) −19.6892 + 7.30319i −0.937579 + 0.347771i
\(442\) 9.94645 + 9.94645i 0.473104 + 0.473104i
\(443\) −25.7237 + 6.89265i −1.22217 + 0.327480i −0.811526 0.584316i \(-0.801363\pi\)
−0.410644 + 0.911796i \(0.634696\pi\)
\(444\) −6.90996 + 10.0494i −0.327932 + 0.476924i
\(445\) 29.5367 9.67312i 1.40017 0.458550i
\(446\) 8.78730 + 5.07335i 0.416091 + 0.240230i
\(447\) −0.752604 + 2.12384i −0.0355969 + 0.100454i
\(448\) 16.0792 + 0.0876032i 0.759672 + 0.00413886i
\(449\) −13.5069 −0.637430 −0.318715 0.947851i \(-0.603251\pi\)
−0.318715 + 0.947851i \(0.603251\pi\)
\(450\) 10.4307 9.47194i 0.491707 0.446512i
\(451\) 1.61692 + 2.80059i 0.0761378 + 0.131875i
\(452\) −12.1981 3.26847i −0.573750 0.153736i
\(453\) −3.56664 4.17782i −0.167575 0.196291i
\(454\) 0.760603i 0.0356969i
\(455\) −0.593994 12.0536i −0.0278469 0.565081i
\(456\) −1.67445 3.51251i −0.0784135 0.164488i
\(457\) −12.6832 + 3.39846i −0.593297 + 0.158973i −0.542959 0.839759i \(-0.682696\pi\)
−0.0503372 + 0.998732i \(0.516030\pi\)
\(458\) 3.93497 14.6855i 0.183869 0.686209i
\(459\) −36.5821 + 10.8104i −1.70751 + 0.504588i
\(460\) −8.10162 + 0.443501i −0.377740 + 0.0206784i
\(461\) 4.02367i 0.187401i 0.995600 + 0.0937006i \(0.0298696\pi\)
−0.995600 + 0.0937006i \(0.970130\pi\)
\(462\) −1.78853 + 2.57101i −0.0832099 + 0.119614i
\(463\) −12.2088 + 12.2088i −0.567392 + 0.567392i −0.931397 0.364005i \(-0.881409\pi\)
0.364005 + 0.931397i \(0.381409\pi\)
\(464\) −1.04961 + 1.81798i −0.0487270 + 0.0843977i
\(465\) 0.0391319 1.62564i 0.00181470 0.0753871i
\(466\) −6.21168 10.7589i −0.287750 0.498398i
\(467\) −7.80654 29.1344i −0.361244 1.34818i −0.872442 0.488717i \(-0.837465\pi\)
0.511199 0.859462i \(-0.329202\pi\)
\(468\) 0.712051 + 6.80285i 0.0329146 + 0.314462i
\(469\) −18.2380 4.99352i −0.842154 0.230579i
\(470\) 14.4557 + 3.03750i 0.666791 + 0.140109i
\(471\) 0.588323 7.45486i 0.0271085 0.343502i
\(472\) 1.22452 4.56998i 0.0563632 0.210350i
\(473\) 1.37390 5.12746i 0.0631719 0.235761i
\(474\) 0.858472 10.8780i 0.0394309 0.499644i
\(475\) 1.54381 3.51137i 0.0708351 0.161113i
\(476\) −5.50441 20.9997i −0.252294 0.962520i
\(477\) 1.70340 + 16.2741i 0.0779935 + 0.745141i
\(478\) −0.0201247 0.0751063i −0.000920481 0.00343528i
\(479\) 6.48360 + 11.2299i 0.296243 + 0.513108i 0.975273 0.221002i \(-0.0709328\pi\)
−0.679030 + 0.734110i \(0.737599\pi\)
\(480\) −14.3559 15.0641i −0.655256 0.687581i
\(481\) −6.42545 + 11.1292i −0.292975 + 0.507448i
\(482\) −9.64299 + 9.64299i −0.439226 + 0.439226i
\(483\) 6.32863 + 13.4639i 0.287962 + 0.612631i
\(484\) 11.7030i 0.531955i
\(485\) −0.972384 17.7629i −0.0441537 0.806573i
\(486\) 13.5217 + 5.61792i 0.613358 + 0.254834i
\(487\) −7.55441 + 28.1934i −0.342323 + 1.27757i 0.553386 + 0.832925i \(0.313335\pi\)
−0.895709 + 0.444641i \(0.853331\pi\)
\(488\) −27.0935 + 7.25967i −1.22646 + 0.328630i
\(489\) 7.12455 + 14.9452i 0.322183 + 0.675846i
\(490\) 6.78678 13.0423i 0.306596 0.589192i
\(491\) 17.3154i 0.781432i −0.920511 0.390716i \(-0.872227\pi\)
0.920511 0.390716i \(-0.127773\pi\)
\(492\) 5.58659 + 6.54391i 0.251863 + 0.295022i
\(493\) 28.8857 + 7.73989i 1.30094 + 0.348587i
\(494\) −0.734968 1.27300i −0.0330678 0.0572750i
\(495\) 4.81935 0.772689i 0.216614 0.0347298i
\(496\) 0.216367 0.00971516
\(497\) 18.6920 + 0.101838i 0.838450 + 0.00456806i
\(498\) −1.40641 + 3.96886i −0.0630227 + 0.177849i
\(499\) 14.5814 + 8.41859i 0.652754 + 0.376868i 0.789511 0.613737i \(-0.210334\pi\)
−0.136756 + 0.990605i \(0.543668\pi\)
\(500\) 1.21940 12.4367i 0.0545331 0.556185i
\(501\) −7.66346 + 11.1453i −0.342378 + 0.497934i
\(502\) 14.8865 3.98883i 0.664417 0.178030i
\(503\) −2.89757 2.89757i −0.129196 0.129196i 0.639552 0.768748i \(-0.279120\pi\)
−0.768748 + 0.639552i \(0.779120\pi\)
\(504\) −9.57888 + 21.1786i −0.426677 + 0.943369i
\(505\) −11.5596 2.42897i −0.514397 0.108088i
\(506\) 1.92151 + 1.10938i 0.0854213 + 0.0493180i
\(507\) −2.78665 15.0535i −0.123760 0.668549i
\(508\) −1.64170 0.439891i −0.0728385 0.0195170i
\(509\) 1.72948 2.99555i 0.0766579 0.132775i −0.825148 0.564916i \(-0.808908\pi\)
0.901806 + 0.432141i \(0.142242\pi\)
\(510\) 13.9060 22.8006i 0.615770 1.00963i
\(511\) 11.0264 40.2720i 0.487778 1.78153i
\(512\) 4.09210 4.09210i 0.180847 0.180847i
\(513\) 3.98494 0.101777i 0.175940 0.00449357i
\(514\) −1.12119 + 0.647319i −0.0494536 + 0.0285520i
\(515\) 7.33862 14.4861i 0.323378 0.638335i
\(516\) 1.11117 14.0800i 0.0489164 0.619838i
\(517\) 3.61832 + 3.61832i 0.159134 + 0.159134i
\(518\) −13.6009 + 7.75401i −0.597591 + 0.340692i
\(519\) 20.9181 9.97191i 0.918204 0.437718i
\(520\) −9.94759 8.91501i −0.436231 0.390949i
\(521\) −31.2875 + 18.0638i −1.37073 + 0.791392i −0.991020 0.133714i \(-0.957310\pi\)
−0.379710 + 0.925105i \(0.623976\pi\)
\(522\) −6.74314 9.28953i −0.295139 0.406592i
\(523\) 1.26359 + 4.71576i 0.0552527 + 0.206206i 0.988034 0.154237i \(-0.0492921\pi\)
−0.932781 + 0.360443i \(0.882625\pi\)
\(524\) −12.4571 −0.544192
\(525\) −21.9759 + 6.48547i −0.959105 + 0.283049i
\(526\) −18.6042 −0.811181
\(527\) −0.797749 2.97724i −0.0347505 0.129691i
\(528\) 0.118214 + 0.638594i 0.00514462 + 0.0277913i
\(529\) −10.7911 + 6.23025i −0.469179 + 0.270881i
\(530\) −8.53133 7.64576i −0.370577 0.332110i
\(531\) 3.76531 + 3.05177i 0.163401 + 0.132436i
\(532\) −0.0123596 + 2.26856i −0.000535858 + 0.0983547i
\(533\) 6.41090 + 6.41090i 0.277687 + 0.277687i
\(534\) −22.5434 1.77908i −0.975549 0.0769885i
\(535\) 18.5078 36.5337i 0.800164 1.57949i
\(536\) −18.1259 + 10.4650i −0.782918 + 0.452018i
\(537\) −14.2922 16.7413i −0.616752 0.722439i
\(538\) 1.10951 1.10951i 0.0478343 0.0478343i
\(539\) 4.43834 2.49839i 0.191173 0.107613i
\(540\) 12.2343 4.35559i 0.526482 0.187435i
\(541\) 16.1283 27.9350i 0.693408 1.20102i −0.277306 0.960782i \(-0.589442\pi\)
0.970714 0.240237i \(-0.0772251\pi\)
\(542\) 1.17357 + 0.314458i 0.0504093 + 0.0135071i
\(543\) 16.2819 3.01405i 0.698724 0.129345i
\(544\) −34.1591 19.7218i −1.46456 0.845564i
\(545\) 13.8313 + 2.90630i 0.592469 + 0.124492i
\(546\) −2.97786 + 8.26026i −0.127441 + 0.353507i
\(547\) 21.2554 + 21.2554i 0.908817 + 0.908817i 0.996177 0.0873598i \(-0.0278430\pi\)
−0.0873598 + 0.996177i \(0.527843\pi\)
\(548\) −12.4514 + 3.33635i −0.531899 + 0.142522i
\(549\) 4.50723 28.3786i 0.192364 1.21117i
\(550\) −2.13813 + 2.66565i −0.0911702 + 0.113664i
\(551\) −2.70635 1.56251i −0.115294 0.0665653i
\(552\) 15.5212 + 5.50011i 0.660627 + 0.234100i
\(553\) −8.95616 + 15.3192i −0.380854 + 0.651437i
\(554\) −10.9971 −0.467222
\(555\) 23.4087 + 6.88021i 0.993644 + 0.292049i
\(556\) 0.744214 + 1.28902i 0.0315617 + 0.0546665i
\(557\) −7.37940 1.97731i −0.312675 0.0837811i 0.0990688 0.995081i \(-0.468414\pi\)
−0.411744 + 0.911299i \(0.635080\pi\)
\(558\) −0.481687 + 1.08064i −0.0203914 + 0.0457469i
\(559\) 14.8824i 0.629459i
\(560\) −0.933062 2.90245i −0.0394291 0.122651i
\(561\) 8.35130 3.98116i 0.352592 0.168085i
\(562\) 12.9762 3.47696i 0.547368 0.146667i
\(563\) −1.69383 + 6.32147i −0.0713866 + 0.266418i −0.992390 0.123137i \(-0.960705\pi\)
0.921003 + 0.389555i \(0.127371\pi\)
\(564\) 11.2188 + 7.71400i 0.472395 + 0.324818i
\(565\) 1.38096 + 25.2265i 0.0580972 + 1.06129i
\(566\) 9.81251i 0.412450i
\(567\) −15.8212 17.7957i −0.664429 0.747351i
\(568\) 14.6298 14.6298i 0.613855 0.613855i
\(569\) −10.0777 + 17.4551i −0.422481 + 0.731758i −0.996181 0.0873070i \(-0.972174\pi\)
0.573701 + 0.819065i \(0.305507\pi\)
\(570\) −2.02034 + 1.92536i −0.0846227 + 0.0806444i
\(571\) 8.94741 + 15.4974i 0.374438 + 0.648545i 0.990243 0.139354i \(-0.0445025\pi\)
−0.615805 + 0.787898i \(0.711169\pi\)
\(572\) −0.429364 1.60241i −0.0179526 0.0670001i
\(573\) −7.64219 2.70809i −0.319257 0.113132i
\(574\) 2.80059 + 10.6844i 0.116894 + 0.445960i
\(575\) 5.88762 + 15.1269i 0.245531 + 0.630835i
\(576\) 6.52659 + 17.0242i 0.271941 + 0.709342i
\(577\) 3.69346 13.7842i 0.153761 0.573844i −0.845447 0.534059i \(-0.820666\pi\)
0.999208 0.0397848i \(-0.0126672\pi\)
\(578\) 8.96910 33.4731i 0.373066 1.39230i
\(579\) 12.4093 + 0.979317i 0.515713 + 0.0406990i
\(580\) −9.96326 2.09353i −0.413702 0.0869290i
\(581\) 4.86824 4.81548i 0.201969 0.199780i
\(582\) −4.32321 + 12.2000i −0.179203 + 0.505707i
\(583\) −1.02715 3.83337i −0.0425401 0.158762i
\(584\) −23.1081 40.0243i −0.956219 1.65622i
\(585\) 12.4904 5.58953i 0.516416 0.231099i
\(586\) 6.22385 10.7800i 0.257105 0.445319i
\(587\) 3.21441 3.21441i 0.132673 0.132673i −0.637652 0.770325i \(-0.720094\pi\)
0.770325 + 0.637652i \(0.220094\pi\)
\(588\) 10.4017 8.68591i 0.428961 0.358201i
\(589\) 0.322096i 0.0132717i
\(590\) −3.38821 + 0.185479i −0.139491 + 0.00763604i
\(591\) 5.29746 7.70430i 0.217908 0.316913i
\(592\) −0.840248 + 3.13585i −0.0345340 + 0.128883i
\(593\) 38.0911 10.2065i 1.56421 0.419130i 0.630219 0.776417i \(-0.282965\pi\)
0.933995 + 0.357287i \(0.116298\pi\)
\(594\) −3.45261 0.831254i −0.141662 0.0341068i
\(595\) −36.4980 + 23.5405i −1.49627 + 0.965066i
\(596\) 1.45403i 0.0595594i
\(597\) −15.4878 + 13.2221i −0.633873 + 0.541143i
\(598\) 6.00855 + 1.60999i 0.245708 + 0.0658373i
\(599\) 22.6620 + 39.2518i 0.925945 + 1.60378i 0.790034 + 0.613063i \(0.210063\pi\)
0.135911 + 0.990721i \(0.456604\pi\)
\(600\) −12.0023 + 22.3415i −0.489992 + 0.912089i
\(601\) −10.2265 −0.417148 −0.208574 0.978007i \(-0.566882\pi\)
−0.208574 + 0.978007i \(0.566882\pi\)
\(602\) 9.15089 15.6522i 0.372962 0.637938i
\(603\) −2.23204 21.3246i −0.0908955 0.868405i
\(604\) 3.06988 + 1.77239i 0.124912 + 0.0721177i
\(605\) 22.2501 7.28682i 0.904597 0.296251i
\(606\) 7.08172 + 4.86937i 0.287675 + 0.197805i
\(607\) −33.9936 + 9.10857i −1.37976 + 0.369705i −0.871034 0.491223i \(-0.836550\pi\)
−0.508725 + 0.860929i \(0.669883\pi\)
\(608\) 2.91458 + 2.91458i 0.118202 + 0.118202i
\(609\) 3.29785 + 18.3737i 0.133635 + 0.744539i
\(610\) 10.9959 + 16.8463i 0.445213 + 0.682086i
\(611\) 12.4242 + 7.17311i 0.502629 + 0.290193i
\(612\) 19.9208 14.4603i 0.805253 0.584521i
\(613\) 4.99557 + 1.33856i 0.201769 + 0.0540639i 0.358288 0.933611i \(-0.383361\pi\)
−0.156519 + 0.987675i \(0.550027\pi\)
\(614\) −11.0947 + 19.2165i −0.447744 + 0.775515i
\(615\) 8.96302 14.6959i 0.361424 0.592597i
\(616\) 1.48873 5.43736i 0.0599828 0.219077i
\(617\) −21.2024 + 21.2024i −0.853575 + 0.853575i −0.990572 0.136996i \(-0.956255\pi\)
0.136996 + 0.990572i \(0.456255\pi\)
\(618\) −8.98598 + 7.67141i −0.361469 + 0.308590i
\(619\) −12.7897 + 7.38415i −0.514063 + 0.296794i −0.734502 0.678606i \(-0.762584\pi\)
0.220439 + 0.975401i \(0.429251\pi\)
\(620\) 0.326585 + 0.997222i 0.0131160 + 0.0400494i
\(621\) −11.6198 + 12.2289i −0.466287 + 0.490729i
\(622\) −10.3690 10.3690i −0.415761 0.415761i
\(623\) 31.7472 + 18.5606i 1.27192 + 0.743614i
\(624\) 0.783512 + 1.64358i 0.0313656 + 0.0657957i
\(625\) −24.4042 + 5.42526i −0.976169 + 0.217011i
\(626\) −13.3199 + 7.69022i −0.532368 + 0.307363i
\(627\) −0.950648 + 0.175981i −0.0379652 + 0.00702800i
\(628\) 1.24896 + 4.66119i 0.0498391 + 0.186002i
\(629\) 46.2478 1.84402
\(630\) 16.5734 + 1.80145i 0.660301 + 0.0717715i
\(631\) −34.8644 −1.38793 −0.693965 0.720009i \(-0.744138\pi\)
−0.693965 + 0.720009i \(0.744138\pi\)
\(632\) 5.08356 + 18.9721i 0.202213 + 0.754670i
\(633\) −43.3236 + 8.01991i −1.72196 + 0.318763i
\(634\) −19.5791 + 11.3040i −0.777583 + 0.448938i
\(635\) 0.185858 + 3.39514i 0.00737554 + 0.134732i
\(636\) −4.54379 9.53153i −0.180173 0.377950i
\(637\) 10.2064 9.98638i 0.404393 0.395675i
\(638\) 1.96860 + 1.96860i 0.0779377 + 0.0779377i
\(639\) 7.58711 + 19.7905i 0.300141 + 0.782901i
\(640\) 10.0478 + 5.09016i 0.397172 + 0.201206i
\(641\) 31.5849 18.2355i 1.24753 0.720260i 0.276912 0.960895i \(-0.410689\pi\)
0.970616 + 0.240635i \(0.0773558\pi\)
\(642\) −22.6625 + 19.3472i −0.894416 + 0.763571i
\(643\) −23.1512 + 23.1512i −0.912995 + 0.912995i −0.996507 0.0835116i \(-0.973386\pi\)
0.0835116 + 0.996507i \(0.473386\pi\)
\(644\) −6.75136 6.82533i −0.266041 0.268956i
\(645\) −27.4612 + 6.65426i −1.08128 + 0.262011i
\(646\) −2.64500 + 4.58128i −0.104066 + 0.180248i
\(647\) −10.3309 2.76815i −0.406148 0.108827i 0.0499604 0.998751i \(-0.484090\pi\)
−0.456109 + 0.889924i \(0.650757\pi\)
\(648\) −26.3190 1.40202i −1.03391 0.0550765i
\(649\) −1.01801 0.587749i −0.0399605 0.0230712i
\(650\) −3.85594 + 8.77024i −0.151242 + 0.343997i
\(651\) 1.47010 1.24126i 0.0576178 0.0486487i
\(652\) −7.55475 7.55475i −0.295867 0.295867i
\(653\) −0.727486 + 0.194929i −0.0284687 + 0.00762817i −0.273025 0.962007i \(-0.588024\pi\)
0.244557 + 0.969635i \(0.421358\pi\)
\(654\) −8.47341 5.82630i −0.331336 0.227826i
\(655\) 7.75636 + 23.6839i 0.303066 + 0.925405i
\(656\) 1.98355 + 1.14520i 0.0774445 + 0.0447126i
\(657\) 47.0876 4.92864i 1.83706 0.192284i
\(658\) 8.65626 + 15.1835i 0.337456 + 0.591916i
\(659\) 7.95212 0.309771 0.154885 0.987932i \(-0.450499\pi\)
0.154885 + 0.987932i \(0.450499\pi\)
\(660\) −2.76481 + 1.50874i −0.107620 + 0.0587277i
\(661\) 11.3090 + 19.5878i 0.439870 + 0.761877i 0.997679 0.0680919i \(-0.0216911\pi\)
−0.557809 + 0.829969i \(0.688358\pi\)
\(662\) 8.74731 + 2.34383i 0.339974 + 0.0910957i
\(663\) 19.7270 16.8411i 0.766134 0.654056i
\(664\) 7.57926i 0.294132i
\(665\) 4.32076 1.38901i 0.167552 0.0538635i
\(666\) −13.7913 11.1778i −0.534401 0.433130i
\(667\) 12.7740 3.42277i 0.494610 0.132530i
\(668\) 2.25904 8.43084i 0.0874048 0.326199i
\(669\) 10.6009 15.4173i 0.409854 0.596066i
\(670\) 11.1789 + 10.0185i 0.431879 + 0.387049i
\(671\) 6.96903i 0.269037i
\(672\) 2.07078 24.5345i 0.0798819 0.946439i
\(673\) 19.5657 19.5657i 0.754203 0.754203i −0.221058 0.975261i \(-0.570951\pi\)
0.975261 + 0.221058i \(0.0709509\pi\)
\(674\) −1.28033 + 2.21760i −0.0493165 + 0.0854187i
\(675\) −15.8986 20.5483i −0.611938 0.790905i
\(676\) 4.93958 + 8.55560i 0.189984 + 0.329062i
\(677\) 11.1292 + 41.5349i 0.427731 + 1.59632i 0.757885 + 0.652388i \(0.226233\pi\)
−0.330154 + 0.943927i \(0.607101\pi\)
\(678\) 6.13971 17.3262i 0.235794 0.665408i
\(679\) 14.9647 14.8025i 0.574291 0.568067i
\(680\) −9.88528 + 47.0448i −0.379083 + 1.80409i
\(681\) −1.39818 0.110342i −0.0535784 0.00422830i
\(682\) 0.0742679 0.277171i 0.00284386 0.0106134i
\(683\) −10.9131 + 40.7282i −0.417578 + 1.55842i 0.362039 + 0.932163i \(0.382081\pi\)
−0.779616 + 0.626258i \(0.784586\pi\)
\(684\) −2.40189 + 0.920814i −0.0918386 + 0.0352082i
\(685\) 14.0960 + 21.5957i 0.538580 + 0.825129i
\(686\) 16.8748 4.22723i 0.644282 0.161397i
\(687\) −26.4248 9.36392i −1.00817 0.357256i
\(688\) −0.973078 3.63158i −0.0370982 0.138453i
\(689\) −5.56316 9.63568i −0.211940 0.367090i
\(690\) 0.284213 11.8069i 0.0108198 0.449482i
\(691\) 3.78240 6.55130i 0.143889 0.249223i −0.785069 0.619409i \(-0.787372\pi\)
0.928958 + 0.370185i \(0.120706\pi\)
\(692\) −10.5740 + 10.5740i −0.401965 + 0.401965i
\(693\) 4.46670 + 3.66075i 0.169676 + 0.139060i
\(694\) 25.7420i 0.977151i
\(695\) 1.98734 2.21752i 0.0753841 0.0841154i
\(696\) 17.0257 + 11.7068i 0.645356 + 0.443745i
\(697\) 8.44476 31.5163i 0.319868 1.19376i
\(698\) 3.71843 0.996350i 0.140745 0.0377124i
\(699\) −20.6788 + 9.85782i −0.782143 + 0.372857i
\(700\) 11.9689 8.68141i 0.452381 0.328126i
\(701\) 39.5039i 1.49204i −0.665923 0.746020i \(-0.731962\pi\)
0.665923 0.746020i \(-0.268038\pi\)
\(702\) −9.95306 + 0.254205i −0.375654 + 0.00959437i
\(703\) −4.66820 1.25084i −0.176065 0.0471764i
\(704\) −2.21099 3.82954i −0.0833298 0.144331i
\(705\) 7.68079 26.1325i 0.289275 0.984209i
\(706\) 27.7161 1.04311
\(707\) −6.92207 12.1417i −0.260331 0.456634i
\(708\) −2.94801 1.04466i −0.110793 0.0392607i
\(709\) −17.8431 10.3017i −0.670112 0.386889i 0.126007 0.992029i \(-0.459784\pi\)
−0.796119 + 0.605140i \(0.793117\pi\)
\(710\) −13.2373 6.70598i −0.496787 0.251671i
\(711\) −19.8720 3.15618i −0.745258 0.118366i
\(712\) 39.3175 10.5351i 1.47349 0.394819i
\(713\) −0.963825 0.963825i −0.0360955 0.0360955i
\(714\) 31.1027 5.58255i 1.16399 0.208922i
\(715\) −2.77921 + 1.81405i −0.103937 + 0.0678417i
\(716\) 12.3015 + 7.10230i 0.459730 + 0.265425i
\(717\) −0.140984 + 0.0260984i −0.00526513 + 0.000974664i
\(718\) −26.0494 6.97990i −0.972153 0.260488i
\(719\) 3.53101 6.11588i 0.131684 0.228084i −0.792642 0.609688i \(-0.791295\pi\)
0.924326 + 0.381604i \(0.124628\pi\)
\(720\) 2.68242 2.18063i 0.0999680 0.0812671i
\(721\) 18.5863 4.87180i 0.692189 0.181435i
\(722\) −12.2287 + 12.2287i −0.455106 + 0.455106i
\(723\) 16.3273 + 19.1252i 0.607220 + 0.711273i
\(724\) −9.25377 + 5.34267i −0.343914 + 0.198559i
\(725\) 2.22329 + 20.2460i 0.0825708 + 0.751917i
\(726\) −16.9821 1.34019i −0.630264 0.0497392i
\(727\) −8.73967 8.73967i −0.324136 0.324136i 0.526215 0.850351i \(-0.323611\pi\)
−0.850351 + 0.526215i \(0.823611\pi\)
\(728\) 0.0861090 15.8050i 0.00319141 0.585771i
\(729\) 12.2888 24.0413i 0.455140 0.890420i
\(730\) −22.1222 + 24.6846i −0.818781 + 0.913617i
\(731\) −46.3833 + 26.7794i −1.71555 + 0.990472i
\(732\) 3.37516 + 18.2326i 0.124750 + 0.673897i
\(733\) −10.3953 38.7958i −0.383959 1.43296i −0.839801 0.542895i \(-0.817328\pi\)
0.455841 0.890061i \(-0.349338\pi\)
\(734\) 28.8540 1.06502
\(735\) −22.9905 14.3679i −0.848018 0.529967i
\(736\) −17.4429 −0.642954
\(737\) 1.34591 + 5.02300i 0.0495772 + 0.185025i
\(738\) −10.1355 + 7.35724i −0.373094 + 0.270824i
\(739\) 19.1703 11.0680i 0.705192 0.407143i −0.104086 0.994568i \(-0.533192\pi\)
0.809278 + 0.587426i \(0.199859\pi\)
\(740\) −15.7212 + 0.860616i −0.577923 + 0.0316369i
\(741\) −2.44672 + 1.16638i −0.0898825 + 0.0428481i
\(742\) 0.0738495 13.5548i 0.00271110 0.497612i
\(743\) −24.6420 24.6420i −0.904028 0.904028i 0.0917535 0.995782i \(-0.470753\pi\)
−0.995782 + 0.0917535i \(0.970753\pi\)
\(744\) 0.167546 2.12304i 0.00614254 0.0778344i
\(745\) −2.76445 + 0.905344i −0.101282 + 0.0331692i
\(746\) −19.7811 + 11.4206i −0.724237 + 0.418139i
\(747\) 7.09174 + 3.16110i 0.259473 + 0.115659i
\(748\) −4.22155 + 4.22155i −0.154355 + 0.154355i
\(749\) 46.8742 12.2866i 1.71275 0.448942i
\(750\) 17.9070 + 3.19366i 0.653872 + 0.116616i
\(751\) −8.99819 + 15.5853i −0.328349 + 0.568717i −0.982184 0.187920i \(-0.939825\pi\)
0.653836 + 0.756637i \(0.273159\pi\)
\(752\) 3.50073 + 0.938019i 0.127659 + 0.0342060i
\(753\) −5.17286 27.9438i −0.188510 1.01833i
\(754\) 6.75957 + 3.90264i 0.246169 + 0.142126i
\(755\) 1.45829 6.94012i 0.0530726 0.252577i
\(756\) 13.4589 + 7.41411i 0.489495 + 0.269649i
\(757\) 22.1895 + 22.1895i 0.806492 + 0.806492i 0.984101 0.177609i \(-0.0568362\pi\)
−0.177609 + 0.984101i \(0.556836\pi\)
\(758\) −7.67364 + 2.05614i −0.278719 + 0.0746825i
\(759\) 2.31808 3.37127i 0.0841409 0.122369i
\(760\) 2.27021 4.48129i 0.0823491 0.162554i
\(761\) 19.5072 + 11.2625i 0.707135 +