Properties

Label 105.2.x.a.23.5
Level 105
Weight 2
Character 105.23
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 23.5
Character \(\chi\) = 105.23
Dual form 105.2.x.a.32.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.907300 + 0.243110i) q^{2} +(-0.315275 - 1.70312i) q^{3} +(-0.967960 + 0.558852i) q^{4} +(-2.12501 - 0.695932i) q^{5} +(0.700094 + 1.46859i) q^{6} +(-2.64571 - 0.0144144i) q^{7} +(2.07075 - 2.07075i) q^{8} +(-2.80120 + 1.07390i) q^{9} +O(q^{10})\) \(q+(-0.907300 + 0.243110i) q^{2} +(-0.315275 - 1.70312i) q^{3} +(-0.967960 + 0.558852i) q^{4} +(-2.12501 - 0.695932i) q^{5} +(0.700094 + 1.46859i) q^{6} +(-2.64571 - 0.0144144i) q^{7} +(2.07075 - 2.07075i) q^{8} +(-2.80120 + 1.07390i) q^{9} +(2.09721 + 0.114806i) q^{10} +(-0.630122 + 0.363801i) q^{11} +(1.25696 + 1.47235i) q^{12} +(-1.44243 - 1.44243i) q^{13} +(2.40396 - 0.630122i) q^{14} +(-0.515288 + 3.83855i) q^{15} +(-0.257666 + 0.446291i) q^{16} +(1.90004 - 7.09105i) q^{17} +(2.28046 - 1.65535i) 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} +(0.840245 + 3.13584i) q^{23} +(-4.17958 - 2.87387i) q^{24} +(4.03136 + 2.95773i) q^{25} +(1.65938 + 0.958046i) q^{26} +(2.71212 + 4.43220i) q^{27} +(2.56900 - 1.46461i) q^{28} -4.07354 q^{29} +(-0.465670 - 3.60799i) q^{30} +(-0.209930 - 0.363609i) q^{31} +(-1.39061 + 5.18983i) q^{32} +(0.818257 + 0.958473i) q^{33} +6.89563i q^{34} +(5.61214 + 1.87187i) q^{35} +(2.11130 - 2.60495i) q^{36} +(-1.63050 - 6.08510i) q^{37} +(-0.696038 - 0.186503i) q^{38} +(-2.00186 + 2.91138i) q^{39} +(-5.84146 + 2.95927i) q^{40} -4.44452i q^{41} +(-1.83108 - 3.89556i) q^{42} +(-5.15881 - 5.15881i) q^{43} +(0.406622 - 0.704289i) q^{44} +(6.69995 - 0.332604i) q^{45} +(-1.52471 - 2.64087i) q^{46} +(-6.79316 + 1.82022i) q^{47} +(0.841320 + 0.298131i) q^{48} +(6.99958 + 0.0762729i) q^{49} +(-4.37671 - 1.70348i) q^{50} +(-12.6759 - 1.00036i) q^{51} +(2.20232 + 0.590109i) q^{52} +(-5.26849 - 1.41169i) q^{53} +(-3.53822 - 3.36199i) q^{54} +(1.59220 - 0.334560i) q^{55} +(-5.50845 + 5.44875i) q^{56} +(0.443814 - 1.25244i) q^{57} +(3.69592 - 0.990320i) q^{58} +(-0.807790 - 1.39913i) q^{59} +(-1.64640 - 4.00353i) q^{60} +(4.78904 - 8.29486i) q^{61} +(0.278866 + 0.278866i) q^{62} +(7.42666 - 2.80085i) q^{63} -6.07747i q^{64} +(2.06135 + 4.06901i) q^{65} +(-0.975419 - 0.670696i) q^{66} +(-6.90351 - 1.84979i) q^{67} +(2.12368 + 7.92569i) q^{68} +(5.07578 - 2.41969i) q^{69} +(-5.54697 - 0.333975i) q^{70} +7.06501i q^{71} +(-3.57681 + 8.02436i) q^{72} +(-4.08458 + 15.2439i) q^{73} +(2.95870 + 5.12462i) q^{74} +(3.76636 - 7.79837i) q^{75} -0.857449 q^{76} +(1.67236 - 0.953430i) q^{77} +(1.10850 - 3.12817i) q^{78} +(5.80845 + 3.35351i) q^{79} +(0.858131 - 0.769055i) q^{80} +(6.69348 - 6.01642i) q^{81} +(1.08051 + 4.03251i) 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} +(1.28428 + 6.93771i) q^{87} +(-0.551483 + 2.05816i) q^{88} +(6.94977 - 12.0373i) q^{89} +(-5.99801 + 1.93060i) q^{90} +(3.79546 + 3.83704i) q^{91} +(-2.56579 - 2.56579i) q^{92} +(-0.553082 + 0.472171i) q^{93} +(5.72092 - 3.30298i) q^{94} +(-1.14486 - 1.27746i) q^{95} +(9.27730 + 0.732146i) q^{96} +(5.62554 - 5.62554i) q^{97} +(-6.36927 + 1.63247i) 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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.907300 + 0.243110i −0.641558 + 0.171905i −0.564909 0.825153i \(-0.691089\pi\)
−0.0766491 + 0.997058i \(0.524422\pi\)
\(3\) −0.315275 1.70312i −0.182024 0.983294i
\(4\) −0.967960 + 0.558852i −0.483980 + 0.279426i
\(5\) −2.12501 0.695932i −0.950335 0.311230i
\(6\) 0.700094 + 1.46859i 0.285812 + 0.599550i
\(7\) −2.64571 0.0144144i −0.999985 0.00544814i
\(8\) 2.07075 2.07075i 0.732120 0.732120i
\(9\) −2.80120 + 1.07390i −0.933734 + 0.357966i
\(10\) 2.09721 + 0.114806i 0.663197 + 0.0363049i
\(11\) −0.630122 + 0.363801i −0.189989 + 0.109690i −0.591977 0.805955i \(-0.701653\pi\)
0.401988 + 0.915645i \(0.368319\pi\)
\(12\) 1.25696 + 1.47235i 0.362854 + 0.425032i
\(13\) −1.44243 1.44243i −0.400058 0.400058i 0.478196 0.878253i \(-0.341291\pi\)
−0.878253 + 0.478196i \(0.841291\pi\)
\(14\) 2.40396 0.630122i 0.642485 0.168407i
\(15\) −0.515288 + 3.83855i −0.133047 + 0.991110i
\(16\) −0.257666 + 0.446291i −0.0644165 + 0.111573i
\(17\) 1.90004 7.09105i 0.460828 1.71983i −0.209538 0.977801i \(-0.567196\pi\)
0.670365 0.742031i \(-0.266137\pi\)
\(18\) 2.28046 1.65535i 0.537509 0.390170i
\(19\) 0.664374 + 0.383576i 0.152418 + 0.0879985i 0.574269 0.818667i \(-0.305286\pi\)
−0.421851 + 0.906665i \(0.638620\pi\)
\(20\) 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
\(23\) 0.840245 + 3.13584i 0.175203 + 0.653867i 0.996517 + 0.0833906i \(0.0265749\pi\)
−0.821314 + 0.570477i \(0.806758\pi\)
\(24\) −4.17958 2.87387i −0.853152 0.586626i
\(25\) 4.03136 + 2.95773i 0.806272 + 0.591545i
\(26\) 1.65938 + 0.958046i 0.325432 + 0.187888i
\(27\) 2.71212 + 4.43220i 0.521948 + 0.852977i
\(28\) 2.56900 1.46461i 0.485495 0.276785i
\(29\) −4.07354 −0.756437 −0.378219 0.925716i \(-0.623463\pi\)
−0.378219 + 0.925716i \(0.623463\pi\)
\(30\) −0.465670 3.60799i −0.0850194 0.658726i
\(31\) −0.209930 0.363609i −0.0377045 0.0653060i 0.846557 0.532297i \(-0.178671\pi\)
−0.884262 + 0.466991i \(0.845338\pi\)
\(32\) −1.39061 + 5.18983i −0.245827 + 0.917440i
\(33\) 0.818257 + 0.958473i 0.142440 + 0.166849i
\(34\) 6.89563i 1.18259i
\(35\) 5.61214 + 1.87187i 0.948625 + 0.316403i
\(36\) 2.11130 2.60495i 0.351884 0.434158i
\(37\) −1.63050 6.08510i −0.268052 1.00038i −0.960356 0.278778i \(-0.910071\pi\)
0.692303 0.721607i \(-0.256596\pi\)
\(38\) −0.696038 0.186503i −0.112912 0.0302548i
\(39\) −2.00186 + 2.91138i −0.320554 + 0.466194i
\(40\) −5.84146 + 2.95927i −0.923616 + 0.467901i
\(41\) 4.44452i 0.694117i −0.937843 0.347058i \(-0.887181\pi\)
0.937843 0.347058i \(-0.112819\pi\)
\(42\) −1.83108 3.89556i −0.282542 0.601098i
\(43\) −5.15881 5.15881i −0.786711 0.786711i 0.194243 0.980953i \(-0.437775\pi\)
−0.980953 + 0.194243i \(0.937775\pi\)
\(44\) 0.406622 0.704289i 0.0613005 0.106176i
\(45\) 6.69995 0.332604i 0.998770 0.0495816i
\(46\) −1.52471 2.64087i −0.224806 0.389376i
\(47\) −6.79316 + 1.82022i −0.990885 + 0.265507i −0.717622 0.696433i \(-0.754769\pi\)
−0.273263 + 0.961939i \(0.588103\pi\)
\(48\) 0.841320 + 0.298131i 0.121434 + 0.0430315i
\(49\) 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
\(52\) 2.20232 + 0.590109i 0.305406 + 0.0818334i
\(53\) −5.26849 1.41169i −0.723683 0.193910i −0.121869 0.992546i \(-0.538889\pi\)
−0.601814 + 0.798636i \(0.705555\pi\)
\(54\) −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
\(57\) 0.443814 1.25244i 0.0587846 0.165889i
\(58\) 3.69592 0.990320i 0.485298 0.130035i
\(59\) −0.807790 1.39913i −0.105165 0.182152i 0.808640 0.588303i \(-0.200204\pi\)
−0.913806 + 0.406152i \(0.866870\pi\)
\(60\) −1.64640 4.00353i −0.212550 0.516854i
\(61\) 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
\(63\) 7.42666 2.80085i 0.935671 0.352874i
\(64\) 6.07747i 0.759683i
\(65\) 2.06135 + 4.06901i 0.255679 + 0.504699i
\(66\) −0.975419 0.670696i −0.120066 0.0825570i
\(67\) −6.90351 1.84979i −0.843397 0.225988i −0.188847 0.982006i \(-0.560475\pi\)
−0.654550 + 0.756019i \(0.727142\pi\)
\(68\) 2.12368 + 7.92569i 0.257534 + 0.961131i
\(69\) 5.07578 2.41969i 0.611053 0.291296i
\(70\) −5.54697 0.333975i −0.662989 0.0399176i
\(71\) 7.06501i 0.838462i 0.907880 + 0.419231i \(0.137700\pi\)
−0.907880 + 0.419231i \(0.862300\pi\)
\(72\) −3.57681 + 8.02436i −0.421531 + 0.945680i
\(73\) −4.08458 + 15.2439i −0.478064 + 1.78416i 0.131381 + 0.991332i \(0.458059\pi\)
−0.609445 + 0.792828i \(0.708608\pi\)
\(74\) 2.95870 + 5.12462i 0.343942 + 0.595726i
\(75\) 3.76636 7.79837i 0.434902 0.900478i
\(76\) −0.857449 −0.0983562
\(77\) 1.67236 0.953430i 0.190584 0.108653i
\(78\) 1.10850 3.12817i 0.125513 0.354196i
\(79\) 5.80845 + 3.35351i 0.653502 + 0.377300i 0.789797 0.613369i \(-0.210186\pi\)
−0.136294 + 0.990668i \(0.543519\pi\)
\(80\) 0.858131 0.769055i 0.0959420 0.0859830i
\(81\) 6.69348 6.01642i 0.743720 0.668491i
\(82\) 1.08051 + 4.03251i 0.119322 + 0.445316i
\(83\) −1.83008 + 1.83008i −0.200877 + 0.200877i −0.800376 0.599499i \(-0.795367\pi\)
0.599499 + 0.800376i \(0.295367\pi\)
\(84\) −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
\(87\) 1.28428 + 6.93771i 0.137690 + 0.743800i
\(88\) −0.551483 + 2.05816i −0.0587883 + 0.219401i
\(89\) 6.94977 12.0373i 0.736674 1.27596i −0.217311 0.976102i \(-0.569729\pi\)
0.953985 0.299854i \(-0.0969379\pi\)
\(90\) −5.99801 + 1.93060i −0.632246 + 0.203503i
\(91\) 3.79546 + 3.83704i 0.397872 + 0.402231i
\(92\) −2.56579 2.56579i −0.267502 0.267502i
\(93\) −0.553082 + 0.472171i −0.0573519 + 0.0489618i
\(94\) 5.72092 3.30298i 0.590068 0.340676i
\(95\) −1.14486 1.27746i −0.117460 0.131065i
\(96\) 9.27730 + 0.732146i 0.946860 + 0.0747244i
\(97\) 5.62554 5.62554i 0.571187 0.571187i −0.361273 0.932460i \(-0.617658\pi\)
0.932460 + 0.361273i \(0.117658\pi\)
\(98\) −6.36927 + 1.63247i −0.643393 + 0.164904i
\(99\) 1.37441 1.69577i 0.138134 0.170431i
\(100\) −5.55512 0.610029i −0.555512 0.0610029i
\(101\) 4.57480 2.64126i 0.455209 0.262815i −0.254818 0.966989i \(-0.582016\pi\)
0.710028 + 0.704174i \(0.248682\pi\)
\(102\) 11.7441 2.17402i 1.16283 0.215260i
\(103\) −7.01482 + 1.87961i −0.691190 + 0.185204i −0.587281 0.809383i \(-0.699802\pi\)
−0.103909 + 0.994587i \(0.533135\pi\)
\(104\) −5.97381 −0.585780
\(105\) 1.41864 10.1483i 0.138445 0.990370i
\(106\) 5.12330 0.497619
\(107\) 17.6912 4.74035i 1.71028 0.458267i 0.734783 0.678302i \(-0.237284\pi\)
0.975492 + 0.220035i \(0.0706173\pi\)
\(108\) −5.10217 2.77451i −0.490956 0.266978i
\(109\) 5.47383 3.16032i 0.524298 0.302704i −0.214393 0.976747i \(-0.568777\pi\)
0.738691 + 0.674044i \(0.235444\pi\)
\(110\) −1.36327 + 0.690626i −0.129982 + 0.0658486i
\(111\) −9.84958 + 4.69541i −0.934880 + 0.445668i
\(112\) 0.688143 1.17704i 0.0650234 0.111220i
\(113\) 7.98925 7.98925i 0.751566 0.751566i −0.223206 0.974771i \(-0.571652\pi\)
0.974771 + 0.223206i \(0.0716521\pi\)
\(114\) −0.0981924 + 1.24423i −0.00919656 + 0.116533i
\(115\) 0.396797 7.24845i 0.0370015 0.675921i
\(116\) 3.94302 2.27650i 0.366100 0.211368i
\(117\) 5.58956 + 2.49151i 0.516755 + 0.230340i
\(118\) 1.07305 + 1.07305i 0.0987824 + 0.0987824i
\(119\) −5.12917 + 18.7335i −0.470191 + 1.71730i
\(120\) 6.88164 + 9.01570i 0.628205 + 0.823017i
\(121\) −5.23530 + 9.06780i −0.475936 + 0.824346i
\(122\) −2.32853 + 8.69020i −0.210815 + 0.786774i
\(123\) −7.56953 + 1.40125i −0.682521 + 0.126346i
\(124\) 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 −0.753202 0.657789i \(-0.771492\pi\)
0.657789 + 0.753202i \(0.271492\pi\)
\(128\) −1.30372 4.86556i −0.115234 0.430059i
\(129\) −7.15960 + 10.4125i −0.630368 + 0.916768i
\(130\) −2.85948 3.19068i −0.250793 0.279841i
\(131\) −9.65210 5.57264i −0.843308 0.486884i 0.0150794 0.999886i \(-0.495200\pi\)
−0.858387 + 0.513002i \(0.828533\pi\)
\(132\) −1.32768 0.470479i −0.115560 0.0409499i
\(133\) −1.75221 1.02441i −0.151936 0.0888275i
\(134\) 6.71326 0.579937
\(135\) −2.67879 11.3059i −0.230554 0.973060i
\(136\) −10.7493 18.6183i −0.921742 1.59650i
\(137\) −2.98501 + 11.1402i −0.255026 + 0.951771i 0.713050 + 0.701114i \(0.247313\pi\)
−0.968076 + 0.250657i \(0.919353\pi\)
\(138\) −4.01701 + 3.42936i −0.341951 + 0.291926i
\(139\) 1.33168i 0.112952i −0.998404 0.0564760i \(-0.982014\pi\)
0.998404 0.0564760i \(-0.0179864\pi\)
\(140\) −6.47842 + 1.32446i −0.547526 + 0.111938i
\(141\) 5.24176 + 10.9957i 0.441436 + 0.926003i
\(142\) −1.71758 6.41009i −0.144136 0.537922i
\(143\) 1.43366 + 0.384149i 0.119889 + 0.0321241i
\(144\) 0.242504 1.52686i 0.0202086 0.127238i
\(145\) 8.65632 + 2.83490i 0.718868 + 0.235426i
\(146\) 14.8238i 1.22682i
\(147\) −2.07689 11.9451i −0.171299 0.985219i
\(148\) 4.97893 + 4.97893i 0.409265 + 0.409265i
\(149\) −0.650455 + 1.12662i −0.0532873 + 0.0922963i −0.891439 0.453141i \(-0.850303\pi\)
0.838151 + 0.545438i \(0.183637\pi\)
\(150\) −1.52136 + 7.99110i −0.124218 + 0.652471i
\(151\) 1.58575 + 2.74659i 0.129046 + 0.223515i 0.923307 0.384062i \(-0.125475\pi\)
−0.794261 + 0.607577i \(0.792142\pi\)
\(152\) 2.17004 0.581460i 0.176013 0.0471627i
\(153\) 2.29267 + 21.9039i 0.185352 + 1.77083i
\(154\) −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
\(157\) 4.17033 + 1.11744i 0.332829 + 0.0891812i 0.421363 0.906892i \(-0.361552\pi\)
−0.0885346 + 0.996073i \(0.528218\pi\)
\(158\) −6.08529 1.63055i −0.484119 0.129719i
\(159\) −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
\(162\) −4.61034 + 7.08596i −0.362223 + 0.556725i
\(163\) 9.23320 2.47403i 0.723200 0.193781i 0.121601 0.992579i \(-0.461197\pi\)
0.601599 + 0.798798i \(0.294530\pi\)
\(164\) 2.48383 + 4.30211i 0.193954 + 0.335939i
\(165\) −1.07177 2.60622i −0.0834375 0.202894i
\(166\) 1.21552 2.10534i 0.0943426 0.163406i
\(167\) −5.52186 5.52186i −0.427294 0.427294i 0.460411 0.887706i \(-0.347702\pi\)
−0.887706 + 0.460411i \(0.847702\pi\)
\(168\) 11.0165 + 7.66367i 0.849944 + 0.591265i
\(169\) 8.83880i 0.679908i
\(170\) 4.79889 14.6533i 0.368058 1.12386i
\(171\) −2.27297 0.361005i −0.173818 0.0276067i
\(172\) 7.87652 + 2.11051i 0.600579 + 0.160925i
\(173\) −3.46278 12.9233i −0.263271 0.982539i −0.963300 0.268426i \(-0.913497\pi\)
0.700030 0.714114i \(-0.253170\pi\)
\(174\) −2.85186 5.98236i −0.216199 0.453522i
\(175\) −10.6232 7.88340i −0.803037 0.595929i
\(176\) 0.374957i 0.0282634i
\(177\) −2.12821 + 1.81687i −0.159966 + 0.136564i
\(178\) −3.37912 + 12.6110i −0.253276 + 0.945238i
\(179\) −6.35437 11.0061i −0.474948 0.822633i 0.524641 0.851324i \(-0.324200\pi\)
−0.999588 + 0.0286903i \(0.990866\pi\)
\(180\) −6.29941 + 4.06623i −0.469530 + 0.303079i
\(181\) −9.56008 −0.710595 −0.355298 0.934753i \(-0.615620\pi\)
−0.355298 + 0.934753i \(0.615620\pi\)
\(182\) −4.37644 2.55863i −0.324404 0.189659i
\(183\) −15.6370 5.54113i −1.15592 0.409612i
\(184\) 8.23346 + 4.75359i 0.606979 + 0.350439i
\(185\) −0.769986 + 14.0656i −0.0566105 + 1.03413i
\(186\) 0.387022 0.562861i 0.0283778 0.0412710i
\(187\) 1.38247 + 5.15946i 0.101096 + 0.377297i
\(188\) 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 \(0.612498\pi\)
\(192\) −10.3506 + 1.91607i −0.746992 + 0.138281i
\(193\) 1.86008 6.94190i 0.133891 0.499689i −0.866109 0.499856i \(-0.833386\pi\)
1.00000 0.000166726i \(5.30705e-5\pi\)
\(194\) −3.73643 + 6.47168i −0.268260 + 0.464640i
\(195\) 6.28010 4.79357i 0.449727 0.343275i
\(196\) −6.81794 + 3.83790i −0.486996 + 0.274136i
\(197\) 3.81705 + 3.81705i 0.271954 + 0.271954i 0.829886 0.557933i \(-0.188405\pi\)
−0.557933 + 0.829886i \(0.688405\pi\)
\(198\) −0.834747 + 1.87271i −0.0593229 + 0.133087i
\(199\) −10.1820 + 5.87860i −0.721785 + 0.416723i −0.815409 0.578885i \(-0.803488\pi\)
0.0936244 + 0.995608i \(0.470155\pi\)
\(200\) 14.4726 2.22322i 1.02337 0.157205i
\(201\) −0.973901 + 12.3407i −0.0686937 + 0.870443i
\(202\) −3.50860 + 3.50860i −0.246864 + 0.246864i
\(203\) 10.7774 + 0.0587177i 0.756426 + 0.00412118i
\(204\) 12.8288 6.11565i 0.898197 0.428181i
\(205\) −3.09308 + 9.44466i −0.216030 + 0.659643i
\(206\) 5.90759 3.41075i 0.411601 0.237638i
\(207\) −5.72127 7.88178i −0.397656 0.547822i
\(208\) 1.01541 0.272077i 0.0704058 0.0188652i
\(209\) −0.558182 −0.0386103
\(210\) 1.18002 + 9.55242i 0.0814293 + 0.659179i
\(211\) 25.4378 1.75121 0.875606 0.483025i \(-0.160462\pi\)
0.875606 + 0.483025i \(0.160462\pi\)
\(212\) 5.88861 1.57785i 0.404432 0.108367i
\(213\) 12.0325 2.22742i 0.824455 0.152620i
\(214\) −14.8988 + 8.60184i −1.01846 + 0.588010i
\(215\) 7.37235 + 14.5527i 0.502790 + 0.992486i
\(216\) 14.7941 + 3.56184i 1.00661 + 0.242353i
\(217\) 0.550172 + 0.965030i 0.0373481 + 0.0655105i
\(218\) −4.19810 + 4.19810i −0.284331 + 0.284331i
\(219\) 27.2498 + 2.15050i 1.84137 + 0.145318i
\(220\) −1.35421 + 1.21364i −0.0913011 + 0.0818238i
\(221\) −12.9690 + 7.48766i −0.872389 + 0.503674i
\(222\) 7.79502 6.65468i 0.523168 0.446633i
\(223\) −7.63840 7.63840i −0.511505 0.511505i 0.403482 0.914987i \(-0.367800\pi\)
−0.914987 + 0.403482i \(0.867800\pi\)
\(224\) 3.75396 13.7107i 0.250822 0.916087i
\(225\) −14.4690 3.95592i −0.964597 0.263728i
\(226\) −5.30638 + 9.19092i −0.352975 + 0.611371i
\(227\) 0.209579 0.782158i 0.0139102 0.0519137i −0.958622 0.284682i \(-0.908112\pi\)
0.972532 + 0.232769i \(0.0747785\pi\)
\(228\) 0.270332 + 1.46034i 0.0179032 + 0.0967130i
\(229\) −14.0174 8.09297i −0.926299 0.534799i −0.0406596 0.999173i \(-0.512946\pi\)
−0.885639 + 0.464374i \(0.846279\pi\)
\(230\) 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
\(233\) 3.42317 + 12.7754i 0.224259 + 0.836946i 0.982700 + 0.185204i \(0.0592947\pi\)
−0.758441 + 0.651742i \(0.774039\pi\)
\(234\) −5.67712 0.901670i −0.371125 0.0589440i
\(235\) 15.7023 + 0.859581i 1.02431 + 0.0560729i
\(236\) 1.56382 + 0.902869i 0.101796 + 0.0587718i
\(237\) 3.88016 10.9497i 0.252043 0.711263i
\(238\) 0.0993966 18.2439i 0.00644292 1.18257i
\(239\) −0.0827799 −0.00535459 −0.00267729 0.999996i \(-0.500852\pi\)
−0.00267729 + 0.999996i \(0.500852\pi\)
\(240\) −1.58034 1.21903i −0.102010 0.0786882i
\(241\) −7.25921 12.5733i −0.467607 0.809919i 0.531708 0.846928i \(-0.321550\pi\)
−0.999315 + 0.0370088i \(0.988217\pi\)
\(242\) 2.54551 9.49997i 0.163632 0.610681i
\(243\) −12.3569 9.50294i −0.792698 0.609614i
\(244\) 10.7055i 0.685347i
\(245\) −14.8211 5.03331i −0.946887 0.321567i
\(246\) 6.52718 3.11158i 0.416158 0.198387i
\(247\) −0.405030 1.51159i −0.0257714 0.0961803i
\(248\) −1.18765 0.318231i −0.0754160 0.0202077i
\(249\) 3.69381 + 2.53986i 0.234086 + 0.160957i
\(250\) 8.11505 + 6.66581i 0.513241 + 0.421583i
\(251\) 16.4075i 1.03563i 0.855493 + 0.517815i \(0.173254\pi\)
−0.855493 + 0.517815i \(0.826746\pi\)
\(252\) −5.62344 + 6.86151i −0.354244 + 0.432235i
\(253\) −1.67028 1.67028i −0.105009 0.105009i
\(254\) 0.714167 1.23697i 0.0448108 0.0776146i
\(255\) 26.2403 + 10.9473i 1.64323 + 0.685549i
\(256\) 8.44320 + 14.6241i 0.527700 + 0.914004i
\(257\) −1.33133 + 0.356728i −0.0830459 + 0.0222521i −0.300103 0.953907i \(-0.597021\pi\)
0.217057 + 0.976159i \(0.430354\pi\)
\(258\) 3.96452 11.1878i 0.246820 0.696523i
\(259\) 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
\(262\) 10.1121 + 2.70953i 0.624729 + 0.167396i
\(263\) 19.1314 + 5.12625i 1.17969 + 0.316098i 0.794805 0.606865i \(-0.207573\pi\)
0.384888 + 0.922963i \(0.374240\pi\)
\(264\) 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
\(267\) −22.6921 8.04118i −1.38873 0.492112i
\(268\) 7.71607 2.06752i 0.471334 0.126294i
\(269\) −0.835235 1.44667i −0.0509252 0.0882050i 0.839439 0.543454i \(-0.182884\pi\)
−0.890364 + 0.455249i \(0.849550\pi\)
\(270\) 5.17906 + 9.60663i 0.315187 + 0.584641i
\(271\) −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
\(273\) 5.33831 7.67383i 0.323089 0.464441i
\(274\) 10.8332i 0.654457i
\(275\) −3.61627 0.397116i −0.218069 0.0239470i
\(276\) −3.56091 + 5.17877i −0.214342 + 0.311725i
\(277\) −11.3088 3.03017i −0.679477 0.182065i −0.0974572 0.995240i \(-0.531071\pi\)
−0.582020 + 0.813174i \(0.697738\pi\)
\(278\) 0.323746 + 1.20824i 0.0194170 + 0.0724653i
\(279\) 0.978534 + 0.793099i 0.0585833 + 0.0474816i
\(280\) 15.4975 7.74516i 0.926152 0.462862i
\(281\) 14.3020i 0.853186i 0.904444 + 0.426593i \(0.140286\pi\)
−0.904444 + 0.426593i \(0.859714\pi\)
\(282\) −7.42902 8.70205i −0.442391 0.518199i
\(283\) 2.70377 10.0906i 0.160722 0.599823i −0.837825 0.545939i \(-0.816173\pi\)
0.998547 0.0538844i \(-0.0171603\pi\)
\(284\) −3.94829 6.83864i −0.234288 0.405799i
\(285\) −1.81472 + 2.35258i −0.107495 + 0.139355i
\(286\) −1.39415 −0.0824380
\(287\) −0.0640652 + 11.7589i −0.00378165 + 0.694107i
\(288\) −1.67797 16.0311i −0.0988753 0.944644i
\(289\) −31.9504 18.4466i −1.87943 1.08509i
\(290\) −8.54308 0.467668i −0.501667 0.0274624i
\(291\) −11.3545 7.80735i −0.665615 0.457675i
\(292\) −4.56535 17.0381i −0.267167 0.997081i
\(293\) −9.37059 + 9.37059i −0.547436 + 0.547436i −0.925698 0.378262i \(-0.876522\pi\)
0.378262 + 0.925698i \(0.376522\pi\)
\(294\) 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
\(297\) −3.32141 1.80615i −0.192728 0.104804i
\(298\) 0.316265 1.18032i 0.0183207 0.0683738i
\(299\) 3.31123 5.73521i 0.191493 0.331676i
\(300\) 0.712442 + 9.65334i 0.0411329 + 0.557336i
\(301\) 13.5744 + 13.7231i 0.782413 + 0.790985i
\(302\) −2.10647 2.10647i −0.121214 0.121214i
\(303\) −5.94069 6.95868i −0.341284 0.399766i
\(304\) −0.342373 + 0.197669i −0.0196364 + 0.0113371i
\(305\) −15.9494 + 14.2938i −0.913262 + 0.818463i
\(306\) −7.40521 19.3161i −0.423328 1.10423i
\(307\) −16.7040 + 16.7040i −0.953350 + 0.953350i −0.998959 0.0456091i \(-0.985477\pi\)
0.0456091 + 0.998959i \(0.485477\pi\)
\(308\) −1.08596 + 1.85749i −0.0618781 + 0.105840i
\(309\) 5.41280 + 11.3544i 0.307923 + 0.645932i
\(310\) −0.398522 0.786666i −0.0226346 0.0446796i
\(311\) 13.5200 7.80578i 0.766649 0.442625i −0.0650288 0.997883i \(-0.520714\pi\)
0.831678 + 0.555258i \(0.187381\pi\)
\(312\) 1.88339 + 10.1741i 0.106626 + 0.575994i
\(313\) 15.8163 4.23797i 0.893991 0.239544i 0.217557 0.976048i \(-0.430191\pi\)
0.676434 + 0.736504i \(0.263525\pi\)
\(314\) −4.05540 −0.228860
\(315\) −17.7309 + 0.783398i −0.999025 + 0.0441395i
\(316\) −7.49647 −0.421709
\(317\) −23.2486 + 6.22945i −1.30577 + 0.349881i −0.843630 0.536924i \(-0.819586\pi\)
−0.462143 + 0.886805i \(0.652919\pi\)
\(318\) −1.61525 8.72557i −0.0905787 0.489306i
\(319\) 2.56683 1.48196i 0.143715 0.0829737i
\(320\) −4.22950 + 12.9147i −0.236436 + 0.721953i
\(321\) −13.6510 28.6357i −0.761922 1.59829i
\(322\) 3.99588 + 7.00897i 0.222681 + 0.390595i
\(323\) 3.98230 3.98230i 0.221581 0.221581i
\(324\) −3.11673 + 9.56432i −0.173152 + 0.531351i
\(325\) −1.54864 10.0813i −0.0859029 0.559207i
\(326\) −7.77582 + 4.48937i −0.430663 + 0.248643i
\(327\) −7.10815 8.32620i −0.393081 0.460440i
\(328\) −9.20347 9.20347i −0.508177 0.508177i
\(329\) 17.9990 4.71787i 0.992317 0.260104i
\(330\) 1.60602 + 2.10406i 0.0884085 + 0.115825i
\(331\) −4.82052 + 8.34938i −0.264960 + 0.458923i −0.967553 0.252668i \(-0.918692\pi\)
0.702594 + 0.711591i \(0.252025\pi\)
\(332\) 0.748700 2.79418i 0.0410902 0.153351i
\(333\) 11.1021 + 15.2946i 0.608394 + 0.838140i
\(334\) 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 −0.757658 0.652652i \(-0.773656\pi\)
0.652652 + 0.757658i \(0.273656\pi\)
\(338\) 2.14880 + 8.01945i 0.116880 + 0.436200i
\(339\) −16.1254 11.0878i −0.875813 0.602207i
\(340\) 1.00289 18.3201i 0.0543892 0.993549i
\(341\) 0.264562 + 0.152745i 0.0143269 + 0.00827162i
\(342\) 2.15003 0.225042i 0.116260 0.0121689i
\(343\) −18.5178 0.302691i −0.999866 0.0163438i
\(344\) −21.3652 −1.15193
\(345\) −12.4700 + 1.60946i −0.671365 + 0.0866506i
\(346\) 6.28357 + 10.8835i 0.337807 + 0.585099i
\(347\) 7.09301 26.4715i 0.380773 1.42106i −0.463951 0.885861i \(-0.653569\pi\)
0.844724 0.535202i \(-0.179765\pi\)
\(348\) −5.12029 5.99769i −0.274476 0.321510i
\(349\) 4.09834i 0.219379i −0.993966 0.109690i \(-0.965014\pi\)
0.993966 0.109690i \(-0.0349857\pi\)
\(350\) 11.5550 + 4.57001i 0.617638 + 0.244277i
\(351\) 2.48108 10.3052i 0.132430 0.550049i
\(352\) −1.01181 3.77613i −0.0539297 0.201268i
\(353\) −28.5015 7.63696i −1.51698 0.406474i −0.598236 0.801320i \(-0.704131\pi\)
−0.918747 + 0.394846i \(0.870798\pi\)
\(354\) 1.48922 2.16584i 0.0791514 0.115113i
\(355\) 4.91676 15.0132i 0.260955 0.796820i
\(356\) 15.5356i 0.823383i
\(357\) 33.5224 + 2.82938i 1.77419 + 0.149746i
\(358\) 8.44101 + 8.44101i 0.446121 + 0.446121i
\(359\) −14.3554 + 24.8643i −0.757650 + 1.31229i 0.186396 + 0.982475i \(0.440319\pi\)
−0.944046 + 0.329814i \(0.893014\pi\)
\(360\) 13.1852 14.5626i 0.694920 0.767519i
\(361\) −9.20574 15.9448i −0.484513 0.839200i
\(362\) 8.67386 2.32415i 0.455888 0.122155i
\(363\) 17.0941 + 6.05746i 0.897206 + 0.317934i
\(364\) −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
\(367\) 29.6717 + 7.95050i 1.54885 + 0.415013i 0.929113 0.369797i \(-0.120573\pi\)
0.619737 + 0.784810i \(0.287239\pi\)
\(368\) −1.61600 0.433005i −0.0842397 0.0225720i
\(369\) 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
\(372\) 0.271487 0.766133i 0.0140760 0.0397222i
\(373\) 23.4885 6.29374i 1.21619 0.325877i 0.407003 0.913427i \(-0.366574\pi\)
0.809188 + 0.587550i \(0.199907\pi\)
\(374\) −2.50864 4.34509i −0.129719 0.224679i
\(375\) −13.4307 + 13.9505i −0.693558 + 0.720400i
\(376\) −10.2977 + 17.8361i −0.531064 + 0.919829i
\(377\) 5.87579 + 5.87579i 0.302618 + 0.302618i
\(378\) 9.31266 + 8.94586i 0.478992 + 0.460125i
\(379\) 8.45766i 0.434441i 0.976123 + 0.217220i \(0.0696990\pi\)
−0.976123 + 0.217220i \(0.930301\pi\)
\(380\) 1.82209 + 0.596726i 0.0934713 + 0.0306114i
\(381\) 2.17026 + 1.49227i 0.111186 + 0.0764512i
\(382\) −4.24712 1.13801i −0.217302 0.0582258i
\(383\) 2.64013 + 9.85308i 0.134904 + 0.503469i 0.999998 + 0.00185953i \(0.000591907\pi\)
−0.865094 + 0.501610i \(0.832741\pi\)
\(384\) −7.87559 + 3.75438i −0.401899 + 0.191590i
\(385\) −4.21732 + 0.862199i −0.214934 + 0.0439417i
\(386\) 6.75059i 0.343596i
\(387\) 19.9909 + 8.91083i 1.01619 + 0.452963i
\(388\) −2.30145 + 8.58914i −0.116839 + 0.436048i
\(389\) 8.33093 + 14.4296i 0.422395 + 0.731609i 0.996173 0.0874014i \(-0.0278563\pi\)
−0.573778 + 0.819011i \(0.694523\pi\)
\(390\) −4.53257 + 5.87596i −0.229516 + 0.297541i
\(391\) 23.8329 1.20528
\(392\) 14.6523 14.3364i 0.740054 0.724099i
\(393\) −6.44779 + 18.1956i −0.325248 + 0.917844i
\(394\) −4.39118 2.53525i −0.221224 0.127724i
\(395\) −10.0092 11.1685i −0.503619 0.561951i
\(396\) −0.382694 + 2.40953i −0.0192311 + 0.121083i
\(397\) 2.47392 + 9.23281i 0.124163 + 0.463381i 0.999808 0.0195726i \(-0.00623055\pi\)
−0.875646 + 0.482954i \(0.839564\pi\)
\(398\) 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 \(0.831797\pi\)
\(402\) −2.11652 11.4334i −0.105562 0.570249i
\(403\) −0.221671 + 0.827288i −0.0110422 + 0.0412101i
\(404\) −2.95215 + 5.11327i −0.146875 + 0.254394i
\(405\) −18.4107 + 8.12677i −0.914837 + 0.403822i
\(406\) −9.79262 + 2.56683i −0.486000 + 0.127389i
\(407\) 3.24118 + 3.24118i 0.160659 + 0.160659i
\(408\) −28.3201 + 24.1771i −1.40205 + 1.19695i
\(409\) 22.7311 13.1238i 1.12398 0.648930i 0.181566 0.983379i \(-0.441883\pi\)
0.942414 + 0.334448i \(0.108550\pi\)
\(410\) 0.510259 9.32110i 0.0251999 0.460336i
\(411\) 19.9141 + 1.57158i 0.982292 + 0.0775206i
\(412\) 5.73963 5.73963i 0.282771 0.282771i
\(413\) 2.11701 + 3.71335i 0.104171 + 0.182722i
\(414\) 7.10705 + 5.76024i 0.349293 + 0.283100i
\(415\) 5.16255 2.61533i 0.253420 0.128382i
\(416\) 9.49181 5.48010i 0.465374 0.268684i
\(417\) −2.26801 + 0.419847i −0.111065 + 0.0205600i
\(418\) 0.506439 0.135700i 0.0247707 0.00663730i
\(419\) 23.9293 1.16902 0.584511 0.811386i \(-0.301286\pi\)
0.584511 + 0.811386i \(0.301286\pi\)
\(420\) 4.29820 + 10.6159i 0.209731 + 0.518004i
\(421\) −9.89428 −0.482218 −0.241109 0.970498i \(-0.577511\pi\)
−0.241109 + 0.970498i \(0.577511\pi\)
\(422\) −23.0798 + 6.18420i −1.12350 + 0.301042i
\(423\) 17.0743 12.3940i 0.830181 0.602616i
\(424\) −13.8330 + 7.98647i −0.671788 + 0.387857i
\(425\) 28.6331 22.9668i 1.38891 1.11405i
\(426\) −10.3756 + 4.94617i −0.502700 + 0.239643i
\(427\) −12.7900 + 21.8768i −0.618951 + 1.05869i
\(428\) −14.4752 + 14.4752i −0.699687 + 0.699687i
\(429\) 0.202252 2.56280i 0.00976480 0.123733i
\(430\) −10.2269 11.4114i −0.493183 0.550306i
\(431\) 27.8066 16.0542i 1.33940 0.773302i 0.352680 0.935744i \(-0.385271\pi\)
0.986718 + 0.162443i \(0.0519372\pi\)
\(432\) −2.67687 + 0.0683684i −0.128791 + 0.00328938i
\(433\) 13.5310 + 13.5310i 0.650257 + 0.650257i 0.953055 0.302798i \(-0.0979208\pi\)
−0.302798 + 0.953055i \(0.597921\pi\)
\(434\) −0.733780 0.741819i −0.0352226 0.0356085i
\(435\) 2.09905 15.6365i 0.100642 0.749712i
\(436\) −3.53230 + 6.11812i −0.169166 + 0.293005i
\(437\) −0.644596 + 2.40567i −0.0308352 + 0.115079i
\(438\) −25.2466 + 4.67357i −1.20633 + 0.223312i
\(439\) −29.4491 17.0025i −1.40553 0.811483i −0.410577 0.911826i \(-0.634673\pi\)
−0.994953 + 0.100343i \(0.968006\pi\)
\(440\) 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
\(443\) −6.89265 25.7237i −0.327480 1.22217i −0.911796 0.410644i \(-0.865304\pi\)
0.584316 0.811526i \(-0.301363\pi\)
\(444\) 6.90996 10.0494i 0.327932 0.476924i
\(445\) −23.1455 + 20.7430i −1.09720 + 0.983310i
\(446\) 8.78730 + 5.07335i 0.416091 + 0.240230i
\(447\) 2.12384 + 0.752604i 0.100454 + 0.0355969i
\(448\) −0.0876032 + 16.0792i −0.00413886 + 0.759672i
\(449\) 13.5069 0.637430 0.318715 0.947851i \(-0.396749\pi\)
0.318715 + 0.947851i \(0.396749\pi\)
\(450\) 14.0894 + 0.0716561i 0.664181 + 0.00337790i
\(451\) 1.61692 + 2.80059i 0.0761378 + 0.131875i
\(452\) −3.26847 + 12.1981i −0.153736 + 0.573750i
\(453\) 4.17782 3.56664i 0.196291 0.167575i
\(454\) 0.760603i 0.0356969i
\(455\) −5.39508 10.7951i −0.252925 0.506084i
\(456\) −1.67445 3.51251i −0.0784135 0.164488i
\(457\) 3.39846 + 12.6832i 0.158973 + 0.593297i 0.998732 + 0.0503372i \(0.0160296\pi\)
−0.839759 + 0.542959i \(0.817304\pi\)
\(458\) 14.6855 + 3.93497i 0.686209 + 0.183869i
\(459\) 36.5821 10.8104i 1.70751 0.504588i
\(460\) 3.66672 + 7.23796i 0.170962 + 0.337471i
\(461\) 4.02367i 0.187401i 0.995600 + 0.0937006i \(0.0298696\pi\)
−0.995600 + 0.0937006i \(0.970130\pi\)
\(462\) 2.57101 + 1.78853i 0.119614 + 0.0832099i
\(463\) −12.2088 12.2088i −0.567392 0.567392i 0.364005 0.931397i \(-0.381409\pi\)
−0.931397 + 0.364005i \(0.881409\pi\)
\(464\) 1.04961 1.81798i 0.0487270 0.0843977i
\(465\) 1.50390 0.618462i 0.0697419 0.0286805i
\(466\) −6.21168 10.7589i −0.287750 0.498398i
\(467\) −29.1344 + 7.80654i −1.34818 + 0.361244i −0.859462 0.511199i \(-0.829202\pi\)
−0.488717 + 0.872442i \(0.662535\pi\)
\(468\) −6.80285 + 0.712051i −0.314462 + 0.0329146i
\(469\) 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
\(472\) −4.56998 1.22452i −0.210350 0.0563632i
\(473\) 5.12746 + 1.37390i 0.235761 + 0.0631719i
\(474\) −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
\(477\) 16.2741 1.70340i 0.745141 0.0779935i
\(478\) 0.0751063 0.0201247i 0.00343528 0.000920481i
\(479\) −6.48360 11.2299i −0.296243 0.513108i 0.679030 0.734110i \(-0.262401\pi\)
−0.975273 + 0.221002i \(0.929067\pi\)
\(480\) −19.2048 8.01218i −0.876577 0.365704i
\(481\) −6.42545 + 11.1292i −0.292975 + 0.507448i
\(482\) 9.64299 + 9.64299i 0.439226 + 0.439226i
\(483\) −13.4639 + 6.32863i −0.612631 + 0.287962i
\(484\) 11.7030i 0.531955i
\(485\) −15.8693 + 8.03935i −0.720590 + 0.365048i
\(486\) 13.5217 + 5.61792i 0.613358 + 0.254834i
\(487\) 28.1934 + 7.55441i 1.27757 + 0.342323i 0.832925 0.553386i \(-0.186665\pi\)
0.444641 + 0.895709i \(0.353331\pi\)
\(488\) −7.25967 27.0935i −0.328630 1.22646i
\(489\) −7.12455 14.9452i −0.322183 0.675846i
\(490\) 14.6709 + 0.963557i 0.662762 + 0.0435291i
\(491\) 17.3154i 0.781432i −0.920511 0.390716i \(-0.872227\pi\)
0.920511 0.390716i \(-0.127773\pi\)
\(492\) 6.54391 5.58659i 0.295022 0.251863i
\(493\) −7.73989 + 28.8857i −0.348587 + 1.30094i
\(494\) 0.734968 + 1.27300i 0.0330678 + 0.0572750i
\(495\) −4.10079 + 2.64703i −0.184317 + 0.118975i
\(496\) 0.216367 0.00971516
\(497\) 0.101838 18.6920i 0.00456806 0.838450i
\(498\) −3.96886 1.40641i −0.177849 0.0630227i
\(499\) −14.5814 8.41859i −0.652754 0.376868i 0.136756 0.990605i \(-0.456332\pi\)
−0.789511 + 0.613737i \(0.789666\pi\)
\(500\) 11.3802 + 5.16230i 0.508937 + 0.230865i
\(501\) −7.66346 + 11.1453i −0.342378 + 0.497934i
\(502\) −3.98883 14.8865i −0.178030 0.664417i
\(503\) 2.89757 2.89757i 0.129196 0.129196i −0.639552 0.768748i \(-0.720880\pi\)
0.768748 + 0.639552i \(0.220880\pi\)
\(504\) 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
\(507\) −15.0535 + 2.78665i −0.668549 + 0.123760i
\(508\) 0.439891 1.64170i 0.0195170 0.0728385i
\(509\) −1.72948 + 2.99555i −0.0766579 + 0.132775i −0.901806 0.432141i \(-0.857758\pi\)
0.825148 + 0.564916i \(0.191092\pi\)
\(510\) −26.4692 3.55324i −1.17208 0.157340i
\(511\) 11.0264 40.2720i 0.487778 1.78153i
\(512\) −4.09210 4.09210i −0.180847 0.180847i
\(513\) 0.101777 + 3.98494i 0.00449357 + 0.175940i
\(514\) 1.12119 0.647319i 0.0494536 0.0285520i
\(515\) 16.2147 + 0.887628i 0.714503 + 0.0391136i
\(516\) 1.11117 14.0800i 0.0489164 0.619838i
\(517\) 3.61832 3.61832i 0.159134 0.159134i
\(518\) −7.75401 13.6009i −0.340692 0.597591i
\(519\) −20.9181 + 9.97191i −0.918204 + 0.437718i
\(520\) 12.6944 + 4.15736i 0.556687 + 0.182312i
\(521\) −31.2875 + 18.0638i −1.37073 + 0.791392i −0.991020 0.133714i \(-0.957310\pi\)
−0.379710 + 0.925105i \(0.623976\pi\)
\(522\) −9.28953 + 6.74314i −0.406592 + 0.295139i
\(523\) −4.71576 + 1.26359i −0.206206 + 0.0552527i −0.360443 0.932781i \(-0.617375\pi\)
0.154237 + 0.988034i \(0.450708\pi\)
\(524\) 12.4571 0.544192
\(525\) −10.0771 + 20.5779i −0.439802 + 0.898095i
\(526\) −18.6042 −0.811181
\(527\) −2.97724 + 0.797749i −0.129691 + 0.0347505i
\(528\) −0.638594 + 0.118214i −0.0277913 + 0.00514462i
\(529\) 10.7911 6.23025i 0.469179 0.270881i
\(530\) −10.8871 3.56547i −0.472905 0.154874i
\(531\) 3.76531 + 3.05177i 0.163401 + 0.132436i
\(532\) 2.26856 + 0.0123596i 0.0983547 + 0.000535858i
\(533\) −6.41090 + 6.41090i −0.277687 + 0.277687i
\(534\) 22.5434 + 1.77908i 0.975549 + 0.0769885i
\(535\) −40.8930 2.23858i −1.76796 0.0967822i
\(536\) −18.1259 + 10.4650i −0.782918 + 0.452018i
\(537\) −16.7413 + 14.2922i −0.722439 + 0.616752i
\(538\) 1.10951 + 1.10951i 0.0478343 + 0.0478343i
\(539\) −4.43834 + 2.49839i −0.191173 + 0.107613i
\(540\) 8.91130 + 9.44664i 0.383481 + 0.406519i
\(541\) 16.1283 27.9350i 0.693408 1.20102i −0.277306 0.960782i \(-0.589442\pi\)
0.970714 0.240237i \(-0.0772251\pi\)
\(542\) 0.314458 1.17357i 0.0135071 0.0504093i
\(543\) 3.01405 + 16.2819i 0.129345 + 0.698724i
\(544\) 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 −0.0873598 0.996177i \(-0.527843\pi\)
0.996177 + 0.0873598i \(0.0278430\pi\)
\(548\) −3.33635 12.4514i −0.142522 0.531899i
\(549\) −4.50723 + 28.3786i −0.192364 + 1.21117i
\(550\) 3.37759 0.518849i 0.144021 0.0221238i
\(551\) −2.70635 1.56251i −0.115294 0.0665653i
\(552\) 5.50011 15.5212i 0.234100 0.660627i
\(553\) −15.3192 8.95616i −0.651437 0.380854i
\(554\) 10.9971 0.467222
\(555\) 24.1982 3.12317i 1.02715 0.132571i
\(556\) 0.744214 + 1.28902i 0.0315617 + 0.0546665i
\(557\) −1.97731 + 7.37940i −0.0837811 + 0.312675i −0.995081 0.0990688i \(-0.968414\pi\)
0.911299 + 0.411744i \(0.135080\pi\)
\(558\) −1.08064 0.481687i −0.0457469 0.0203914i
\(559\) 14.8824i 0.629459i
\(560\) −2.28145 + 2.02233i −0.0964090 + 0.0854590i
\(561\) 8.35130 3.98116i 0.352592 0.168085i
\(562\) −3.47696 12.9762i −0.146667 0.547368i
\(563\) −6.32147 1.69383i −0.266418 0.0713866i 0.123137 0.992390i \(-0.460705\pi\)
−0.389555 + 0.921003i \(0.627371\pi\)
\(564\) −11.2188 7.71400i −0.472395 0.324818i
\(565\) −22.5372 + 11.4173i −0.948149 + 0.480329i
\(566\) 9.81251i 0.412450i
\(567\) −17.7957 + 15.8212i −0.747351 + 0.664429i
\(568\) 14.6298 + 14.6298i 0.613855 + 0.613855i
\(569\) 10.0777 17.4551i 0.422481 0.731758i −0.573701 0.819065i \(-0.694493\pi\)
0.996181 + 0.0873070i \(0.0278261\pi\)
\(570\) 1.07456 2.57567i 0.0450084 0.107883i
\(571\) 8.94741 + 15.4974i 0.374438 + 0.648545i 0.990243 0.139354i \(-0.0445025\pi\)
−0.615805 + 0.787898i \(0.711169\pi\)
\(572\) −1.60241 + 0.429364i −0.0670001 + 0.0179526i
\(573\) 2.70809 7.64219i 0.113132 0.319257i
\(574\) −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
\(577\) −13.7842 3.69346i −0.573844 0.153761i −0.0397848 0.999208i \(-0.512667\pi\)
−0.534059 + 0.845447i \(0.679334\pi\)
\(578\) 33.4731 + 8.96910i 1.39230 + 0.373066i
\(579\) −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
\(582\) 12.2000 + 4.32321i 0.505707 + 0.179203i
\(583\) 3.83337 1.02715i 0.158762 0.0425401i
\(584\) 23.1081 + 40.0243i 0.956219 + 1.65622i
\(585\) −10.1440 9.18444i −0.419401 0.379730i
\(586\) 6.22385 10.7800i 0.257105 0.445319i
\(587\) −3.21441 3.21441i −0.132673 0.132673i 0.637652 0.770325i \(-0.279906\pi\)
−0.770325 + 0.637652i \(0.779906\pi\)
\(588\) 8.68591 + 10.4017i 0.358201 + 0.428961i
\(589\) 0.322096i 0.0132717i
\(590\) −1.53348 3.02702i −0.0631323 0.124620i
\(591\) 5.29746 7.70430i 0.217908 0.316913i
\(592\) 3.13585 + 0.840248i 0.128883 + 0.0345340i
\(593\) 10.2065 + 38.0911i 0.419130 + 1.56421i 0.776417 + 0.630219i \(0.217035\pi\)
−0.357287 + 0.933995i \(0.616298\pi\)
\(594\) 3.45261 + 0.831254i 0.141662 + 0.0341068i
\(595\) 23.9368 36.2393i 0.981313 1.48567i
\(596\) 1.45403i 0.0595594i
\(597\) 13.2221 + 15.4878i 0.541143 + 0.633873i
\(598\) −1.60999 + 6.00855i −0.0658373 + 0.245708i
\(599\) −22.6620 39.2518i −0.925945 1.60378i −0.790034 0.613063i \(-0.789937\pi\)
−0.135911 0.990721i \(-0.543396\pi\)
\(600\) −8.34926 23.9476i −0.340857 0.977658i
\(601\) −10.2265 −0.417148 −0.208574 0.978007i \(-0.566882\pi\)
−0.208574 + 0.978007i \(0.566882\pi\)
\(602\) −15.6522 9.15089i −0.637938 0.372962i
\(603\) 21.3246 2.23204i 0.868405 0.0908955i
\(604\) −3.06988 1.77239i −0.124912 0.0721177i
\(605\) 17.4356 15.6258i 0.708860 0.635278i
\(606\) 7.08172 + 4.86937i 0.287675 + 0.197805i
\(607\) 9.10857 + 33.9936i 0.369705 + 1.37976i 0.860929 + 0.508725i \(0.169883\pi\)
−0.491223 + 0.871034i \(0.663450\pi\)
\(608\) −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
\(612\) −14.4603 19.9208i −0.584521 0.805253i
\(613\) −1.33856 + 4.99557i −0.0540639 + 0.201769i −0.987675 0.156519i \(-0.949973\pi\)
0.933611 + 0.358288i \(0.116639\pi\)
\(614\) 11.0947 19.2165i 0.447744 0.775515i
\(615\) 17.0605 + 2.29021i 0.687946 + 0.0923501i
\(616\) 1.48873 5.43736i 0.0599828 0.219077i
\(617\) 21.2024 + 21.2024i 0.853575 + 0.853575i 0.990572 0.136996i \(-0.0437449\pi\)
−0.136996 + 0.990572i \(0.543745\pi\)
\(618\) −7.67141 8.98598i −0.308590 0.361469i
\(619\) 12.7897 7.38415i 0.514063 0.296794i −0.220439 0.975401i \(-0.570749\pi\)
0.734502 + 0.678606i \(0.237416\pi\)
\(620\) −0.700327 0.781442i −0.0281258 0.0313835i
\(621\) −11.6198 + 12.2289i −0.466287 + 0.490729i
\(622\) −10.3690 + 10.3690i −0.415761 + 0.415761i
\(623\) −18.5606 + 31.7472i −0.743614 + 1.27192i
\(624\) −0.783512 1.64358i −0.0313656 0.0657957i
\(625\) 7.50370 + 23.8473i 0.300148 + 0.953893i
\(626\) −13.3199 + 7.69022i −0.532368 + 0.307363i
\(627\) 0.175981 + 0.950648i 0.00702800 + 0.0379652i
\(628\) −4.66119 + 1.24896i −0.186002 + 0.0498391i
\(629\) −46.2478 −1.84402
\(630\) 15.8968 5.02135i 0.633345 0.200055i
\(631\) −34.8644 −1.38793 −0.693965 0.720009i \(-0.744138\pi\)
−0.693965 + 0.720009i \(0.744138\pi\)
\(632\) 18.9721 5.08356i 0.754670 0.202213i
\(633\) −8.01991 43.3236i −0.318763 1.72196i
\(634\) 19.5791 11.3040i 0.777583 0.448938i
\(635\) 3.03321 1.53661i 0.120369 0.0609786i
\(636\) −4.54379 9.53153i −0.180173 0.377950i
\(637\) −9.98638 10.2064i −0.395675 0.404393i
\(638\) −1.96860 + 1.96860i −0.0779377 + 0.0779377i
\(639\) −7.58711 19.7905i −0.300141 0.782901i
\(640\) −0.615670 + 11.2467i −0.0243365 + 0.444564i
\(641\) 31.5849 18.2355i 1.24753 0.720260i 0.276912 0.960895i \(-0.410689\pi\)
0.970616 + 0.240635i \(0.0773558\pi\)
\(642\) 19.3472 + 22.6625i 0.763571 + 0.894416i
\(643\) −23.1512 23.1512i −0.912995 0.912995i 0.0835116 0.996507i \(-0.473386\pi\)
−0.996507 + 0.0835116i \(0.973386\pi\)
\(644\) 6.75136 + 6.82533i 0.266041 + 0.268956i
\(645\) 22.4606 17.1441i 0.884386 0.675047i
\(646\) −2.64500 + 4.58128i −0.104066 + 0.180248i
\(647\) −2.76815 + 10.3309i −0.108827 + 0.406148i −0.998751 0.0499604i \(-0.984090\pi\)
0.889924 + 0.456109i \(0.150757\pi\)
\(648\) 1.40202 26.3190i 0.0550765 1.03391i
\(649\) 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
\(653\) −0.194929 0.727486i −0.00762817 0.0284687i 0.962007 0.273025i \(-0.0880243\pi\)
−0.969635 + 0.244557i \(0.921358\pi\)
\(654\) 8.47341 + 5.82630i 0.331336 + 0.227826i
\(655\) 16.6327 + 18.5591i 0.649892 + 0.725166i
\(656\) 1.98355 + 1.14520i 0.0774445 + 0.0447126i
\(657\) −4.92864 47.0876i −0.192284 1.83706i
\(658\) −15.1835 + 8.65626i −0.591916 + 0.337456i
\(659\) −7.95212 −0.309771 −0.154885 0.987932i \(-0.549501\pi\)
−0.154885 + 0.987932i \(0.549501\pi\)
\(660\) 2.49392 + 1.92375i 0.0970758 + 0.0748819i
\(661\) 11.3090 + 19.5878i 0.439870 + 0.761877i 0.997679 0.0680919i \(-0.0216911\pi\)
−0.557809 + 0.829969i \(0.688358\pi\)
\(662\) 2.34383 8.74731i 0.0910957 0.339974i
\(663\) 16.8411 + 19.7270i 0.654056 + 0.766134i
\(664\) 7.57926i 0.294132i
\(665\) 3.01056 + 3.39630i 0.116744 + 0.131703i
\(666\) −13.7913 11.1778i −0.534401 0.433130i
\(667\) −3.42277 12.7740i −0.132530 0.494610i
\(668\) 8.43084 + 2.25904i 0.326199 + 0.0874048i
\(669\) −10.6009 + 15.4173i −0.409854 + 0.596066i
\(670\) −14.2658 4.67197i −0.551134 0.180494i
\(671\) 6.96903i 0.269037i
\(672\) −24.5345 2.07078i −0.946439 0.0798819i
\(673\) 19.5657 + 19.5657i 0.754203 + 0.754203i 0.975261 0.221058i \(-0.0709509\pi\)
−0.221058 + 0.975261i \(0.570951\pi\)
\(674\) 1.28033 2.21760i 0.0493165 0.0854187i
\(675\) −2.17569 + 25.8895i −0.0837424 + 0.996487i
\(676\) 4.93958 + 8.55560i 0.189984 + 0.329062i
\(677\) 41.5349 11.1292i 1.59632 0.427731i 0.652388 0.757885i \(-0.273767\pi\)
0.943927 + 0.330154i \(0.107101\pi\)
\(678\) 17.3262 + 6.13971i 0.665408 + 0.235794i
\(679\) −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
\(682\) −0.277171 0.0742679i −0.0106134 0.00284386i
\(683\) −40.7282 10.9131i −1.55842 0.417578i −0.626258 0.779616i \(-0.715414\pi\)
−0.932163 + 0.362039i \(0.882081\pi\)
\(684\) 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
\(687\) −9.36392 + 26.4248i −0.357256 + 1.00817i
\(688\) 3.63158 0.973078i 0.138453 0.0370982i
\(689\) 5.56316 + 9.63568i 0.211940 + 0.367090i
\(690\) 10.9228 4.49186i 0.415824 0.171002i
\(691\) 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
\(693\) −3.66075 + 4.46670i −0.139060 + 0.169676i
\(694\) 25.7420i 0.977151i
\(695\) −0.926762 + 2.82985i −0.0351541 + 0.107342i
\(696\) 17.0257 + 11.7068i 0.645356 + 0.443745i
\(697\) −31.5163 8.44476i −1.19376 0.319868i
\(698\) 0.996350 + 3.71843i 0.0377124 + 0.140745i
\(699\) 20.6788 9.85782i 0.782143 0.372857i
\(700\) 14.6885 + 1.69403i 0.555172 + 0.0640285i
\(701\) 39.5039i 1.49204i −0.665923 0.746020i \(-0.731962\pi\)
0.665923 0.746020i \(-0.268038\pi\)
\(702\) 0.254205 + 9.95306i 0.00959437 + 0.375654i
\(703\) 1.25084 4.66820i 0.0471764 0.176065i
\(704\) 2.21099 + 3.82954i 0.0833298 + 0.144331i
\(705\) −3.48658 27.0139i −0.131312 1.01740i
\(706\) 27.7161 1.04311
\(707\) −12.1417 + 6.92207i −0.456634 + 0.260331i
\(708\) 1.04466 2.94801i 0.0392607 0.110793i
\(709\) 17.8431 + 10.3017i 0.670112 + 0.386889i 0.796119 0.605140i \(-0.206883\pi\)
−0.126007 + 0.992029i \(0.540216\pi\)
\(710\) −0.811108 + 14.8168i −0.0304403 + 0.556066i
\(711\) −19.8720 3.15618i −0.745258 0.118366i
\(712\) −10.5351 39.3175i −0.394819 1.47349i
\(713\) 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
\(717\) 0.0260984 + 0.140984i 0.000974664 + 0.00526513i
\(718\) 6.97990 26.0494i 0.260488 0.972153i
\(719\) −3.53101 + 6.11588i −0.131684 + 0.228084i −0.924326 0.381604i \(-0.875372\pi\)
0.792642 + 0.609688i \(0.208705\pi\)
\(720\) −1.57791 + 3.07583i −0.0588053 + 0.114629i
\(721\) 18.5863 4.87180i 0.692189 0.181435i
\(722\) 12.2287 + 12.2287i 0.455106 + 0.455106i
\(723\) −19.1252 + 16.3273i −0.711273 + 0.607220i
\(724\) 9.25377 5.34267i 0.343914 0.198559i
\(725\) −16.4219 12.0484i −0.609894 0.447467i
\(726\) −16.9821 1.34019i −0.630264 0.0497392i
\(727\) −8.73967 + 8.73967i −0.324136 + 0.324136i −0.850351 0.526215i \(-0.823611\pi\)
0.526215 + 0.850351i \(0.323611\pi\)
\(728\) 15.8050 + 0.0861090i 0.585771 + 0.00319141i
\(729\) −12.2888 + 24.0413i −0.455140 + 0.890420i
\(730\) −10.3163 + 31.5007i −0.381825 + 1.16589i
\(731\) −46.3833 + 26.7794i −1.71555 + 0.990472i
\(732\) 18.2326 3.37516i 0.673897 0.124750i
\(733\) 38.7958 10.3953i 1.43296 0.383959i 0.542895 0.839801i \(-0.317328\pi\)
0.890061 + 0.455841i \(0.150662\pi\)
\(734\) −28.8540 −1.06502
\(735\) −3.89958 + 26.8290i −0.143838 + 0.989601i
\(736\) −17.4429 −0.642954
\(737\) 5.02300 1.34591i 0.185025 0.0495772i
\(738\) −7.35724 10.1355i −0.270824 0.373094i
\(739\) −19.1703 + 11.0680i −0.705192 + 0.407143i −0.809278 0.587426i \(-0.800141\pi\)
0.104086 + 0.994568i \(0.466808\pi\)
\(740\) −7.11529 14.0453i −0.261563 0.516315i
\(741\) −2.44672 + 1.16638i −0.0898825 + 0.0428481i
\(742\) −13.5548 0.0738495i −0.497612 0.00271110i
\(743\) 24.6420 24.6420i 0.904028 0.904028i −0.0917535 0.995782i \(-0.529247\pi\)
0.995782 + 0.0917535i \(0.0292472\pi\)
\(744\) −0.167546 + 2.12304i −0.00614254 + 0.0778344i
\(745\) 2.16628 1.94141i 0.0793662 0.0711278i
\(746\) −19.7811 + 11.4206i −0.724237 + 0.418139i
\(747\) 3.16110 7.09174i 0.115659 0.259473i
\(748\) −4.22155 4.22155i −0.154355 0.154355i
\(749\) −46.8742 + 12.2866i −1.71275 + 0.448942i
\(750\) 8.79417 15.9224i 0.321118 0.581405i
\(751\) −8.99819 + 15.5853i −0.328349 + 0.568717i −0.982184 0.187920i \(-0.939825\pi\)
0.653836 + 0.756637i \(0.273159\pi\)
\(752\) 0.938019 3.50073i 0.0342060 0.127659i
\(753\) 27.9438 5.17286i 1.01833 0.188510i
\(754\) −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 −0.177609 0.984101i \(-0.556836\pi\)
0.984101 + 0.177609i \(0.0568362\pi\)
\(758\) −2.05614 7.67364i −0.0746825 0.278719i
\(759\) −2.31808 + 3.37127i −0.0841409 + 0.122369i
\(760\) −5.01602 0.274589i −0.181950 0.00996037i
\(761\) 19.5072 + 11.2625i