Properties

Label 105.2.x.a.2.8
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 2.8
Character \(\chi\) = 105.2
Dual form 105.2.x.a.53.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.243110 + 0.907300i) q^{2} +(-1.31730 - 1.12459i) q^{3} +(0.967960 - 0.558852i) q^{4} +(1.66520 + 1.49235i) q^{5} +(0.700094 - 1.46859i) q^{6} +(0.0144144 - 2.64571i) q^{7} +(2.07075 + 2.07075i) q^{8} +(0.470578 + 2.96286i) q^{9} +O(q^{10})\) \(q+(0.243110 + 0.907300i) q^{2} +(-1.31730 - 1.12459i) 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} +(0.470578 + 2.96286i) q^{9} +(-0.949181 + 1.87364i) q^{10} +(0.630122 - 0.363801i) q^{11} +(-1.90358 - 0.352384i) 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} +(-7.09105 - 1.90004i) q^{17} +(-2.57380 + 1.14726i) q^{18} +(-0.664374 - 0.383576i) q^{19} +(2.44585 + 0.513933i) q^{20} +(-2.99434 + 3.46900i) q^{21} +(0.483266 + 0.483266i) q^{22} +(-3.13584 + 0.840245i) q^{23} +(-0.399053 - 5.05655i) q^{24} +(0.545788 + 4.97012i) q^{25} +(-1.65938 - 0.958046i) q^{26} +(2.71212 - 4.43220i) q^{27} +(-1.46461 - 2.56900i) q^{28} -4.07354 q^{29} +(3.35745 - 1.40071i) q^{30} +(-0.209930 - 0.363609i) q^{31} +(5.18983 + 1.39061i) q^{32} +(-1.23919 - 0.229395i) 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} +(3.52226 - 0.277970i) q^{39} +(0.357932 + 6.53849i) q^{40} +4.44452i q^{41} +(-3.87538 - 1.87342i) q^{42} +(-5.15881 + 5.15881i) q^{43} +(0.406622 - 0.704289i) q^{44} +(-3.63802 + 5.63603i) q^{45} +(-1.52471 - 2.64087i) q^{46} +(1.82022 + 6.79316i) q^{47} +(0.841320 - 0.298131i) q^{48} +(-6.99958 - 0.0762729i) q^{49} +(-4.37671 + 1.70348i) q^{50} +(7.20429 + 10.4775i) q^{51} +(-0.590109 + 2.20232i) q^{52} +(1.41169 - 5.26849i) q^{53} +(4.68068 + 1.38320i) q^{54} +(1.59220 + 0.334560i) q^{55} +(5.50845 - 5.44875i) q^{56} +(0.443814 + 1.25244i) q^{57} +(-0.990320 - 3.69592i) q^{58} +(-0.807790 - 1.39913i) q^{59} +(-2.64396 - 3.42759i) q^{60} +(4.78904 - 8.29486i) q^{61} +(0.278866 - 0.278866i) q^{62} +(7.84567 - 1.20230i) q^{63} +6.07747i q^{64} +(-4.55454 + 0.249326i) q^{65} +(-0.0931301 - 1.18009i) 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} +(-5.16089 + 7.10979i) q^{72} +(15.2439 + 4.08458i) q^{73} +(2.95870 + 5.12462i) q^{74} +(4.87040 - 7.16095i) q^{75} -0.857449 q^{76} +(-0.953430 - 1.67236i) q^{77} +(1.10850 + 3.12817i) q^{78} +(-5.80845 - 3.35351i) q^{79} +(-1.09509 + 0.358636i) q^{80} +(-8.55711 + 2.78851i) q^{81} +(-4.03251 + 1.08051i) q^{82} +(-1.83008 - 1.83008i) q^{83} +(-0.959745 + 5.03124i) q^{84} +(-8.97250 - 13.7463i) q^{85} +(-5.93475 - 3.42643i) q^{86} +(5.36609 + 4.58108i) q^{87} +(2.05816 + 0.551483i) 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} +(-0.132371 + 0.715068i) q^{93} +(-5.72092 + 3.30298i) q^{94} +(-0.533886 - 1.63021i) q^{95} +(-5.27271 - 7.66830i) 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 \(0.0244221\pi\)
−0.825153 + 0.564909i \(0.808911\pi\)
\(3\) −1.31730 1.12459i −0.760546 0.649285i
\(4\) 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
\(9\) 0.470578 + 2.96286i 0.156859 + 0.987621i
\(10\) −0.949181 + 1.87364i −0.300157 + 0.592498i
\(11\) 0.630122 0.363801i 0.189989 0.109690i −0.401988 0.915645i \(-0.631681\pi\)
0.591977 + 0.805955i \(0.298347\pi\)
\(12\) −1.90358 0.352384i −0.549516 0.101724i
\(13\) −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
\(15\) −0.515288 3.83855i −0.133047 0.991110i
\(16\) −0.257666 + 0.446291i −0.0644165 + 0.111573i
\(17\) −7.09105 1.90004i −1.71983 0.460828i −0.742031 0.670365i \(-0.766137\pi\)
−0.977801 + 0.209538i \(0.932804\pi\)
\(18\) −2.57380 + 1.14726i −0.606651 + 0.270411i
\(19\) −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
\(21\) −2.99434 + 3.46900i −0.653418 + 0.756997i
\(22\) 0.483266 + 0.483266i 0.103033 + 0.103033i
\(23\) −3.13584 + 0.840245i −0.653867 + 0.175203i −0.570477 0.821314i \(-0.693242\pi\)
−0.0833906 + 0.996517i \(0.526575\pi\)
\(24\) −0.399053 5.05655i −0.0814564 1.03216i
\(25\) 0.545788 + 4.97012i 0.109158 + 0.994024i
\(26\) −1.65938 0.958046i −0.325432 0.187888i
\(27\) 2.71212 4.43220i 0.521948 0.852977i
\(28\) −1.46461 2.56900i −0.276785 0.485495i
\(29\) −4.07354 −0.756437 −0.378219 0.925716i \(-0.623463\pi\)
−0.378219 + 0.925716i \(0.623463\pi\)
\(30\) 3.35745 1.40071i 0.612983 0.255734i
\(31\) −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
\(33\) −1.23919 0.229395i −0.215715 0.0399325i
\(34\) 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
\(39\) 3.52226 0.277970i 0.564013 0.0445108i
\(40\) 0.357932 + 6.53849i 0.0565940 + 1.03383i
\(41\) 4.44452i 0.694117i 0.937843 + 0.347058i \(0.112819\pi\)
−0.937843 + 0.347058i \(0.887181\pi\)
\(42\) −3.87538 1.87342i −0.597983 0.289074i
\(43\) −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
\(45\) −3.63802 + 5.63603i −0.542324 + 0.840169i
\(46\) −1.52471 2.64087i −0.224806 0.389376i
\(47\) 1.82022 + 6.79316i 0.265507 + 0.990885i 0.961939 + 0.273263i \(0.0881028\pi\)
−0.696433 + 0.717622i \(0.745231\pi\)
\(48\) 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
\(51\) 7.20429 + 10.4775i 1.00880 + 1.46714i
\(52\) −0.590109 + 2.20232i −0.0818334 + 0.305406i
\(53\) 1.41169 5.26849i 0.193910 0.723683i −0.798636 0.601814i \(-0.794445\pi\)
0.992546 0.121869i \(-0.0388887\pi\)
\(54\) 4.68068 + 1.38320i 0.636960 + 0.188229i
\(55\) 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
\(58\) −0.990320 3.69592i −0.130035 0.485298i
\(59\) −0.807790 1.39913i −0.105165 0.182152i 0.808640 0.588303i \(-0.200204\pi\)
−0.913806 + 0.406152i \(0.866870\pi\)
\(60\) −2.64396 3.42759i −0.341334 0.442500i
\(61\) 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
\(63\) 7.84567 1.20230i 0.988461 0.151476i
\(64\) 6.07747i 0.759683i
\(65\) −4.55454 + 0.249326i −0.564921 + 0.0309251i
\(66\) −0.0931301 1.18009i −0.0114635 0.145259i
\(67\) 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 \(-0.862300\pi\)
0.907880 0.419231i \(-0.137700\pi\)
\(72\) −5.16089 + 7.10979i −0.608217 + 0.837896i
\(73\) 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
\(75\) 4.87040 7.16095i 0.562385 0.826875i
\(76\) −0.857449 −0.0983562
\(77\) −0.953430 1.67236i −0.108653 0.190584i
\(78\) 1.10850 + 3.12817i 0.125513 + 0.354196i
\(79\) −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
\(81\) −8.55711 + 2.78851i −0.950790 + 0.309835i
\(82\) −4.03251 + 1.08051i −0.445316 + 0.119322i
\(83\) −1.83008 1.83008i −0.200877 0.200877i 0.599499 0.800376i \(-0.295367\pi\)
−0.800376 + 0.599499i \(0.795367\pi\)
\(84\) −0.959745 + 5.03124i −0.104717 + 0.548953i
\(85\) −8.97250 13.7463i −0.973204 1.49099i
\(86\) −5.93475 3.42643i −0.639960 0.369481i
\(87\) 5.36609 + 4.58108i 0.575305 + 0.491143i
\(88\) 2.05816 + 0.551483i 0.219401 + 0.0587883i
\(89\) 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
\(93\) −0.132371 + 0.715068i −0.0137262 + 0.0741491i
\(94\) −5.72092 + 3.30298i −0.590068 + 0.340676i
\(95\) −0.533886 1.63021i −0.0547755 0.167256i
\(96\) −5.27271 7.66830i −0.538143 0.782643i
\(97\) 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 −0.710028 0.704174i \(-0.751318\pi\)
0.254818 + 0.966989i \(0.417984\pi\)
\(102\) −7.75478 + 9.08364i −0.767838 + 0.899414i
\(103\) 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
\(105\) −10.1631 + 1.30797i −0.991820 + 0.127645i
\(106\) 5.12330 0.497619
\(107\) −4.74035 17.6912i −0.458267 1.71028i −0.678302 0.734783i \(-0.737284\pi\)
0.220035 0.975492i \(-0.429383\pi\)
\(108\) 0.148284 5.80586i 0.0142687 0.558670i
\(109\) −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 0.974771 0.223206i \(-0.0716521\pi\)
−0.223206 + 0.974771i \(0.571652\pi\)
\(114\) −1.02844 + 0.707153i −0.0963223 + 0.0662310i
\(115\) −6.47574 3.28059i −0.603866 0.305916i
\(116\) −3.94302 + 2.27650i −0.366100 + 0.211368i
\(117\) −4.95249 3.59494i −0.457858 0.332353i
\(118\) 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
\(122\) 8.69020 + 2.32853i 0.786774 + 0.210815i
\(123\) 4.99828 5.85478i 0.450679 0.527908i
\(124\) −0.406407 0.234639i −0.0364964 0.0210712i
\(125\) −6.50831 + 9.09076i −0.582121 + 0.813102i
\(126\) 2.99821 + 6.82608i 0.267102 + 0.608116i
\(127\) −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
\(129\) 12.5973 0.994153i 1.10913 0.0875303i
\(130\) −1.33347 4.07172i −0.116953 0.357114i
\(131\) 9.65210 + 5.57264i 0.843308 + 0.486884i 0.858387 0.513002i \(-0.171467\pi\)
−0.0150794 + 0.999886i \(0.504800\pi\)
\(132\) −1.32768 + 0.470479i −0.115560 + 0.0409499i
\(133\) −1.02441 + 1.75221i −0.0888275 + 0.151936i
\(134\) 6.71326 0.579937
\(135\) 11.1306 3.33307i 0.957971 0.286865i
\(136\) −10.7493 18.6183i −0.921742 1.59650i
\(137\) 11.1402 + 2.98501i 0.951771 + 0.255026i 0.701114 0.713050i \(-0.252687\pi\)
0.250657 + 0.968076i \(0.419353\pi\)
\(138\) −0.961406 + 5.19351i −0.0818403 + 0.442101i
\(139\) 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
\(144\) −1.44355 0.553415i −0.120296 0.0461179i
\(145\) −6.78326 6.07914i −0.563319 0.504845i
\(146\) 14.8238i 1.22682i
\(147\) 9.13480 + 7.97216i 0.753426 + 0.657533i
\(148\) 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 \(0.183637\pi\)
\(150\) 7.68118 + 2.67801i 0.627165 + 0.218659i
\(151\) 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
\(153\) 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
\(156\) 3.25406 2.23749i 0.260534 0.179142i
\(157\) −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
\(159\) −7.78454 + 5.35263i −0.617354 + 0.424491i
\(160\) 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
\(163\) −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
\(165\) −1.72116 2.23129i −0.133992 0.173706i
\(166\) 1.21552 2.10534i 0.0943426 0.163406i
\(167\) −5.52186 + 5.52186i −0.427294 + 0.427294i −0.887706 0.460411i \(-0.847702\pi\)
0.460411 + 0.887706i \(0.347702\pi\)
\(168\) −13.3839 + 0.982893i −1.03259 + 0.0758318i
\(169\) 8.83880i 0.679908i
\(170\) 10.2907 11.4826i 0.789260 0.880676i
\(171\) 0.823845 2.14895i 0.0630010 0.164334i
\(172\) −2.11051 + 7.87652i −0.160925 + 0.600579i
\(173\) 12.9233 3.46278i 0.982539 0.263271i 0.268426 0.963300i \(-0.413497\pi\)
0.714114 + 0.700030i \(0.246830\pi\)
\(174\) −2.85186 + 5.98236i −0.216199 + 0.453522i
\(175\) 13.1574 1.37236i 0.994604 0.103740i
\(176\) 0.374957i 0.0282634i
\(177\) −0.509352 + 2.75152i −0.0382852 + 0.206817i
\(178\) 12.6110 + 3.37912i 0.945238 + 0.253276i
\(179\) −6.35437 11.0061i −0.474948 0.822633i 0.524641 0.851324i \(-0.324200\pi\)
−0.999588 + 0.0286903i \(0.990866\pi\)
\(180\) −0.371752 + 7.48856i −0.0277088 + 0.558164i
\(181\) −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
\(183\) −15.6370 + 5.54113i −1.15592 + 0.409612i
\(184\) −8.23346 4.75359i −0.606979 0.350439i
\(185\) 12.5662 + 6.36599i 0.923885 + 0.468037i
\(186\) −0.680963 + 0.0537403i −0.0499306 + 0.00394043i
\(187\) −5.15946 + 1.38247i −0.377297 + 0.101096i
\(188\) 5.55827 + 5.55827i 0.405379 + 0.405379i
\(189\) −11.6872 7.23939i −0.850121 0.526588i
\(190\) 1.34930 0.880716i 0.0978882 0.0638938i
\(191\) −4.05391 2.34053i −0.293331 0.169355i 0.346112 0.938193i \(-0.387502\pi\)
−0.639443 + 0.768839i \(0.720835\pi\)
\(192\) 6.83468 8.00587i 0.493251 0.577774i
\(193\) −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
\(195\) 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 −0.557933 0.829886i \(-0.688405\pi\)
0.829886 + 0.557933i \(0.188405\pi\)
\(198\) −1.20444 + 1.65926i −0.0855956 + 0.117919i
\(199\) 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
\(201\) −10.2004 + 7.01375i −0.719479 + 0.494712i
\(202\) −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
\(207\) −3.96519 8.89566i −0.275599 0.618291i
\(208\) −0.272077 1.01541i −0.0188652 0.0704058i
\(209\) −0.558182 −0.0386103
\(210\) −3.65749 8.90303i −0.252391 0.614367i
\(211\) 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
\(213\) −7.94527 + 9.30676i −0.544401 + 0.637689i
\(214\) 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
\(219\) −15.4873 22.5238i −1.04654 1.52202i
\(220\) 1.72815 0.565962i 0.116512 0.0381571i
\(221\) 12.9690 7.48766i 0.872389 0.503674i
\(222\) 1.86561 10.0780i 0.125212 0.676393i
\(223\) −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
\(225\) −14.4690 + 3.95592i −0.964597 + 0.263728i
\(226\) −5.30638 + 9.19092i −0.352975 + 0.611371i
\(227\) −0.782158 0.209579i −0.0519137 0.0139102i 0.232769 0.972532i \(-0.425221\pi\)
−0.284682 + 0.958622i \(0.591888\pi\)
\(228\) 1.12952 + 0.964282i 0.0748044 + 0.0638611i
\(229\) 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
\(231\) −0.624775 + 3.27523i −0.0411072 + 0.215495i
\(232\) −8.43527 8.43527i −0.553803 0.553803i
\(233\) −12.7754 + 3.42317i −0.836946 + 0.224259i −0.651742 0.758441i \(-0.725961\pi\)
−0.185204 + 0.982700i \(0.559295\pi\)
\(234\) 2.05769 5.36736i 0.134515 0.350876i
\(235\) −7.10674 + 14.0284i −0.463592 + 0.915111i
\(236\) −1.56382 0.902869i −0.101796 0.0587718i
\(237\) 3.88016 + 10.9497i 0.252043 + 0.711263i
\(238\) −18.2439 0.0993966i −1.18257 0.00644292i
\(239\) −0.0827799 −0.00535459 −0.00267729 0.999996i \(-0.500852\pi\)
−0.00267729 + 0.999996i \(0.500852\pi\)
\(240\) 1.84588 + 0.759096i 0.119151 + 0.0489994i
\(241\) −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
\(243\) 14.4083 + 5.94996i 0.924290 + 0.381690i
\(244\) 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
\(249\) 0.352674 + 4.46886i 0.0223498 + 0.283203i
\(250\) −9.83029 3.69494i −0.621722 0.233688i
\(251\) 16.4075i 1.03563i −0.855493 0.517815i \(-0.826746\pi\)
0.855493 0.517815i \(-0.173254\pi\)
\(252\) 6.92238 5.54835i 0.436069 0.349513i
\(253\) −1.67028 + 1.67028i −0.105009 + 0.105009i
\(254\) 0.714167 1.23697i 0.0448108 0.0776146i
\(255\) −3.63947 + 28.1984i −0.227912 + 1.76585i
\(256\) 8.44320 + 14.6241i 0.527700 + 0.914004i
\(257\) 0.356728 + 1.33133i 0.0222521 + 0.0830459i 0.976159 0.217057i \(-0.0696457\pi\)
−0.953907 + 0.300103i \(0.902979\pi\)
\(258\) 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
\(261\) −1.91692 12.0693i −0.118654 0.747073i
\(262\) −2.70953 + 10.1121i −0.167396 + 0.624729i
\(263\) −5.12625 + 19.1314i −0.316098 + 1.17969i 0.606865 + 0.794805i \(0.292427\pi\)
−0.922963 + 0.384888i \(0.874240\pi\)
\(264\) −2.09103 3.04107i −0.128694 0.187165i
\(265\) 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
\(268\) −2.06752 7.71607i −0.126294 0.471334i
\(269\) −0.835235 1.44667i −0.0509252 0.0882050i 0.839439 0.543454i \(-0.182884\pi\)
−0.890364 + 0.455249i \(0.849550\pi\)
\(270\) 5.73006 + 9.28851i 0.348720 + 0.565281i
\(271\) −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
\(273\) −0.684657 9.32290i −0.0414373 0.564247i
\(274\) 10.8332i 0.654457i
\(275\) 2.15205 + 2.93322i 0.129773 + 0.176880i
\(276\) 6.26540 0.494453i 0.377133 0.0297626i
\(277\) 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 \(-0.859714\pi\)
0.904444 0.426593i \(-0.140286\pi\)
\(282\) 11.2507 + 2.08269i 0.669970 + 0.124023i
\(283\) −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
\(285\) −1.13003 + 2.74789i −0.0669374 + 0.162771i
\(286\) −1.39415 −0.0824380
\(287\) 11.7589 + 0.0640652i 0.694107 + 0.00378165i
\(288\) −1.67797 + 16.0311i −0.0988753 + 0.944644i
\(289\) 31.9504 + 18.4466i 1.87943 + 1.08509i
\(290\) 3.86653 7.63236i 0.227050 0.448187i
\(291\) −1.08410 13.7370i −0.0635509 0.805277i
\(292\) 17.0381 4.56535i 0.997081 0.267167i
\(293\) −9.37059 9.37059i −0.547436 0.547436i 0.378262 0.925698i \(-0.376522\pi\)
−0.925698 + 0.378262i \(0.876522\pi\)
\(294\) −5.01238 + 10.2261i −0.292328 + 0.596400i
\(295\) 0.742863 3.53534i 0.0432511 0.205836i
\(296\) 15.9771 + 9.22436i 0.928648 + 0.536155i
\(297\) 0.0965300 3.77950i 0.00560124 0.219309i
\(298\) −1.18032 0.316265i −0.0683738 0.0183207i
\(299\) 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
\(303\) 8.99674 + 1.66545i 0.516849 + 0.0956774i
\(304\) 0.342373 0.197669i 0.0196364 0.0113371i
\(305\) 20.3536 6.66569i 1.16544 0.381676i
\(306\) 20.4308 3.24493i 1.16795 0.185500i
\(307\) −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 −0.831678 0.555258i \(-0.812619\pi\)
0.0650288 + 0.997883i \(0.479286\pi\)
\(312\) 7.86932 + 6.71811i 0.445512 + 0.380338i
\(313\) −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
\(315\) 14.8589 + 9.70639i 0.837202 + 0.546893i
\(316\) −7.49647 −0.421709
\(317\) 6.22945 + 23.2486i 0.349881 + 1.30577i 0.886805 + 0.462143i \(0.152919\pi\)
−0.536924 + 0.843630i \(0.680414\pi\)
\(318\) −6.74894 5.76163i −0.378462 0.323096i
\(319\) −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
\(324\) −6.72457 + 7.48133i −0.373587 + 0.415629i
\(325\) −7.95630 6.38178i −0.441336 0.353998i
\(326\) 7.77582 4.48937i 0.430663 0.248643i
\(327\) 10.7648 + 1.99274i 0.595293 + 0.110199i
\(328\) −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 \(0.252025\pi\)
\(332\) −2.79418 0.748700i −0.153351 0.0410902i
\(333\) 7.69446 + 17.2621i 0.421654 + 0.945955i
\(334\) −6.35241 3.66756i −0.347588 0.200680i
\(335\) 13.3827 8.73519i 0.731176 0.477255i
\(336\) −0.776641 2.23019i −0.0423692 0.121667i
\(337\) −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
\(339\) −1.53961 19.5089i −0.0836200 1.05958i
\(340\) −16.3671 8.29154i −0.887633 0.449672i
\(341\) −0.264562 0.152745i −0.0143269 0.00827162i
\(342\) 2.15003 + 0.225042i 0.116260 + 0.0121689i
\(343\) −0.302691 + 18.5178i −0.0163438 + 0.999866i
\(344\) −21.3652 −1.15193
\(345\) 4.84119 + 11.6041i 0.260641 + 0.624744i
\(346\) 6.28357 + 10.8835i 0.337807 + 0.585099i
\(347\) −26.4715 7.09301i −1.42106 0.380773i −0.535202 0.844724i \(-0.679765\pi\)
−0.885861 + 0.463951i \(0.846431\pi\)
\(348\) 7.75430 + 1.43545i 0.415674 + 0.0769482i
\(349\) 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 \(-0.629202\pi\)
0.801320 0.598236i \(-0.204131\pi\)
\(354\) −2.62028 + 0.206788i −0.139266 + 0.0109906i
\(355\) 10.5435 11.7647i 0.559589 0.624403i
\(356\) 15.5356i 0.823383i
\(357\) 27.8242 18.9095i 1.47262 1.00079i
\(358\) 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 \(0.893014\pi\)
\(360\) −19.2042 + 4.13737i −1.01215 + 0.218059i
\(361\) −9.20574 15.9448i −0.484513 0.839200i
\(362\) −2.32415 8.67386i −0.122155 0.455888i
\(363\) 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
\(366\) −8.82898 12.8403i −0.461498 0.671175i
\(367\) −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
\(369\) −13.1685 + 2.09149i −0.685524 + 0.108879i
\(370\) −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
\(373\) −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
\(375\) 18.7968 4.65608i 0.970664 0.240439i
\(376\) −10.2977 + 17.8361i −0.531064 + 0.919829i
\(377\) 5.87579 5.87579i 0.302618 0.302618i
\(378\) 3.72701 12.3638i 0.191697 0.635925i
\(379\) 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
\(381\) 0.207210 + 2.62564i 0.0106157 + 0.134516i
\(382\) 1.13801 4.24712i 0.0582258 0.217302i
\(383\) −9.85308 + 2.64013i −0.503469 + 0.134904i −0.501610 0.865094i \(-0.667259\pi\)
−0.00185953 + 0.999998i \(0.500592\pi\)
\(384\) −7.87559 3.75438i −0.401899 0.191590i
\(385\) 0.908100 4.20767i 0.0462811 0.214443i
\(386\) 6.75059i 0.343596i
\(387\) −17.7125 12.8572i −0.900375 0.653569i
\(388\) 8.58914 + 2.30145i 0.436048 + 0.116839i
\(389\) 8.33093 + 14.4296i 0.422395 + 0.731609i 0.996173 0.0874014i \(-0.0278563\pi\)
−0.573778 + 0.819011i \(0.694523\pi\)
\(390\) −2.82245 + 6.86330i −0.142920 + 0.347537i
\(391\) 23.8329 1.20528
\(392\) −14.3364 14.6523i −0.724099 0.740054i
\(393\) −6.44779 18.1956i −0.325248 0.917844i
\(394\) 4.39118 + 2.53525i 0.221224 + 0.127724i
\(395\) −4.66763 14.2525i −0.234854 0.717122i
\(396\) 2.27806 + 0.873341i 0.114477 + 0.0438871i
\(397\) −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
\(399\) 3.31999 1.15615i 0.166207 0.0578800i
\(400\) −2.35875 1.03705i −0.117937 0.0518526i
\(401\) 17.1970 + 9.92869i 0.858777 + 0.495815i 0.863603 0.504173i \(-0.168203\pi\)
−0.00482553 + 0.999988i \(0.501536\pi\)
\(402\) −8.84340 7.54969i −0.441068 0.376544i
\(403\) 0.827288 + 0.221671i 0.0412101 + 0.0110422i
\(404\) −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
\(408\) −6.77795 + 36.6145i −0.335558 + 1.81269i
\(409\) −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
\(411\) −11.3181 16.4604i −0.558281 0.811929i
\(412\) 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
\(417\) 1.49760 1.75423i 0.0733380 0.0859052i
\(418\) −0.135700 0.506439i −0.00663730 0.0247707i
\(419\) 23.9293 1.16902 0.584511 0.811386i \(-0.301286\pi\)
0.584511 + 0.811386i \(0.301286\pi\)
\(420\) −9.10654 + 6.94575i −0.444353 + 0.338918i
\(421\) −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
\(423\) −19.2707 + 8.58978i −0.936971 + 0.417649i
\(424\) 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
\(429\) 2.11833 1.45656i 0.102274 0.0703233i
\(430\) −4.76912 14.5624i −0.229987 0.702261i
\(431\) −27.8066 + 16.0542i −1.33940 + 0.773302i −0.986718 0.162443i \(-0.948063\pi\)
−0.352680 + 0.935744i \(0.614729\pi\)
\(432\) 1.27923 + 2.35242i 0.0615468 + 0.113181i
\(433\) 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
\(435\) 2.09905 + 15.6365i 0.100642 + 0.749712i
\(436\) −3.53230 + 6.11812i −0.169166 + 0.293005i
\(437\) 2.40567 + 0.644596i 0.115079 + 0.0308352i
\(438\) 16.6707 19.5274i 0.796558 0.933056i
\(439\) 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
\(441\) −3.06786 20.7747i −0.146089 0.989272i
\(442\) 9.94645 + 9.94645i 0.473104 + 0.473104i
\(443\) 25.7237 6.89265i 1.22217 0.327480i 0.410644 0.911796i \(-0.365304\pi\)
0.811526 + 0.584316i \(0.198637\pi\)
\(444\) −12.1580 + 0.959488i −0.576995 + 0.0455353i
\(445\) 29.5367 9.67312i 1.40017 0.458550i
\(446\) −8.78730 5.07335i −0.416091 0.240230i
\(447\) 2.12384 0.752604i 0.100454 0.0355969i
\(448\) 16.0792 + 0.0876032i 0.759672 + 0.00413886i
\(449\) 13.5069 0.637430 0.318715 0.947851i \(-0.396749\pi\)
0.318715 + 0.947851i \(0.396749\pi\)
\(450\) −7.10676 12.1660i −0.335016 0.573509i
\(451\) 1.61692 + 2.80059i 0.0761378 + 0.131875i
\(452\) 12.1981 + 3.26847i 0.573750 + 0.153736i
\(453\) 0.999893 5.40142i 0.0469791 0.253781i
\(454\) 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
\(459\) −27.6532 + 26.2758i −1.29074 + 1.22645i
\(460\) −8.10162 + 0.443501i −0.377740 + 0.0206784i
\(461\) 4.02367i 0.187401i −0.995600 0.0937006i \(-0.970130\pi\)
0.995600 0.0937006i \(-0.0298696\pi\)
\(462\) −3.12351 + 0.229385i −0.145319 + 0.0106720i
\(463\) −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
\(465\) −1.28756 + 0.993189i −0.0597090 + 0.0460580i
\(466\) −6.21168 10.7589i −0.287750 0.498398i
\(467\) 7.80654 + 29.1344i 0.361244 + 1.34818i 0.872442 + 0.488717i \(0.162535\pi\)
−0.511199 + 0.859462i \(0.670798\pi\)
\(468\) −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
\(471\) 6.16193 4.23693i 0.283927 0.195227i
\(472\) 1.22452 4.56998i 0.0563632 0.210350i
\(473\) −1.37390 + 5.12746i −0.0631719 + 0.235761i
\(474\) −8.99140 + 6.18247i −0.412989 + 0.283970i
\(475\) 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
\(478\) −0.0201247 0.0751063i −0.000920481 0.00343528i
\(479\) −6.48360 11.2299i −0.296243 0.513108i 0.679030 0.734110i \(-0.262401\pi\)
−0.975273 + 0.221002i \(0.929067\pi\)
\(480\) 2.66367 20.6380i 0.121579 0.941991i
\(481\) −6.42545 + 11.1292i −0.292975 + 0.507448i
\(482\) 9.64299 9.64299i 0.439226 0.439226i
\(483\) 6.47496 13.3942i 0.294621 0.609457i
\(484\) 11.7030i 0.531955i
\(485\) 0.972384 + 17.7629i 0.0441537 + 0.806573i
\(486\) −1.89560 + 14.5191i −0.0859862 + 0.658601i
\(487\) −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 \(0.127773\pi\)
−0.920511 + 0.390716i \(0.872227\pi\)
\(492\) 1.56618 8.46048i 0.0706087 0.381428i
\(493\) 28.8857 + 7.73989i 1.30094 + 0.348587i
\(494\) 0.734968 + 1.27300i 0.0330678 + 0.0572750i
\(495\) −0.242003 + 4.87490i −0.0108772 + 0.219110i
\(496\) 0.216367 0.00971516
\(497\) −18.6920 0.101838i −0.838450 0.00456806i
\(498\) −3.96886 + 1.40641i −0.177849 + 0.0630227i
\(499\) 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
\(501\) 13.4838 1.06412i 0.602413 0.0475412i
\(502\) 14.8865 3.98883i 0.664417 0.178030i
\(503\) 2.89757 + 2.89757i 0.129196 + 0.129196i 0.768748 0.639552i \(-0.220880\pi\)
−0.639552 + 0.768748i \(0.720880\pi\)
\(504\) 18.7361 + 13.7567i 0.834570 + 0.612773i
\(505\) −11.5596 2.42897i −0.514397 0.108088i
\(506\) −1.92151 1.10938i −0.0854213 0.0493180i
\(507\) 9.94006 11.6434i 0.441454 0.517101i
\(508\) −1.64170 0.439891i −0.0728385 0.0195170i
\(509\) −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
\(513\) −3.50195 + 1.90433i −0.154615 + 0.0840782i
\(514\) −1.12119 + 0.647319i −0.0494536 + 0.0285520i
\(515\) −7.33862 + 14.4861i −0.323378 + 0.638335i
\(516\) 11.6381 8.00231i 0.512337 0.352282i
\(517\) 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 0.379710 0.925105i \(-0.376024\pi\)
0.991020 + 0.133714i \(0.0426903\pi\)
\(522\) 10.4845 4.67340i 0.458894 0.204549i
\(523\) 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
\(525\) −18.8756 12.9889i −0.823799 0.566882i
\(526\) −18.6042 −0.811181
\(527\) 0.797749 + 2.97724i 0.0347505 + 0.129691i
\(528\) 0.421674 0.493932i 0.0183510 0.0214956i
\(529\) −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
\(534\) −12.8124 18.6336i −0.554449 0.806356i
\(535\) 18.5078 36.5337i 0.800164 1.57949i
\(536\) 18.1259 10.4650i 0.782918 0.452018i
\(537\) −4.00675 + 21.6444i −0.172904 + 0.934026i
\(538\) 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 \(-0.0772251\pi\)
\(542\) −1.17357 0.314458i −0.0504093 0.0135071i
\(543\) 12.5935 + 10.7512i 0.540440 + 0.461378i
\(544\) −34.1591 19.7218i −1.46456 0.845564i
\(545\) −13.8313 2.90630i −0.592469 0.124492i
\(546\) 8.29222 2.88768i 0.354874 0.123581i
\(547\) 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
\(549\) 26.8302 + 10.2859i 1.14508 + 0.438991i
\(550\) −2.13813 + 2.66565i −0.0911702 + 0.113664i
\(551\) 2.70635 + 1.56251i 0.115294 + 0.0665653i
\(552\) 5.50011 + 15.5212i 0.234100 + 0.660627i
\(553\) −8.95616 + 15.3192i −0.380854 + 0.651437i
\(554\) 10.9971 0.467222
\(555\) −9.39434 22.5178i −0.398767 0.955828i
\(556\) 0.744214 + 1.28902i 0.0315617 + 0.0546665i
\(557\) 7.37940 + 1.97731i 0.312675 + 0.0837811i 0.411744 0.911299i \(-0.364920\pi\)
−0.0990688 + 0.995081i \(0.531586\pi\)
\(558\) 0.957470 + 0.695014i 0.0405330 + 0.0294223i
\(559\) 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 −0.921003 0.389555i \(-0.872629\pi\)
0.992390 + 0.123137i \(0.0392954\pi\)
\(564\) −1.07113 13.5727i −0.0451029 0.571515i
\(565\) 1.38096 + 25.2265i 0.0580972 + 1.06129i
\(566\) 9.81251i 0.412450i
\(567\) 7.25426 + 22.6799i 0.304650 + 0.952464i
\(568\) 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 \(0.0278261\pi\)
\(570\) −2.76788 0.357240i −0.115934 0.0149632i
\(571\) 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
\(573\) 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
\(576\) −18.0067 + 2.85992i −0.750279 + 0.119163i
\(577\) 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
\(579\) 7.05276 + 10.2571i 0.293103 + 0.426271i
\(580\) −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
\(583\) −1.02715 3.83337i −0.0425401 0.158762i
\(584\) 23.1081 + 40.0243i 0.956219 + 1.65622i
\(585\) −2.88198 13.3771i −0.119155 0.553077i
\(586\) 6.22385 10.7800i 0.257105 0.445319i
\(587\) −3.21441 + 3.21441i −0.132673 + 0.132673i −0.770325 0.637652i \(-0.779906\pi\)
0.637652 + 0.770325i \(0.279906\pi\)
\(588\) 13.2974 + 2.61173i 0.548375 + 0.107706i
\(589\) 0.322096i 0.0132717i
\(590\) 3.38821 0.185479i 0.139491 0.00763604i
\(591\) −9.32085 + 0.735583i −0.383409 + 0.0302579i
\(592\) −0.840248 + 3.13585i −0.0345340 + 0.128883i
\(593\) −38.0911 + 10.2065i −1.56421 + 0.419130i −0.933995 0.357287i \(-0.883702\pi\)
−0.630219 + 0.776417i \(0.717035\pi\)
\(594\) 3.45261 0.831254i 0.141662 0.0341068i
\(595\) −36.4980 + 23.5405i −1.49627 + 0.965066i
\(596\) 1.45403i 0.0595594i
\(597\) −20.0239 3.70675i −0.819522 0.151707i
\(598\) 6.00855 + 1.60999i 0.245708 + 0.0658373i
\(599\) −22.6620 39.2518i −0.925945 1.60378i −0.790034 0.613063i \(-0.789937\pi\)
−0.135911 0.990721i \(-0.543396\pi\)
\(600\) 24.9139 4.74315i 1.01711 0.193638i
\(601\) −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
\(603\) 21.3246 + 2.23204i 0.868405 + 0.0908955i
\(604\) 3.06988 + 1.77239i 0.124912 + 0.0721177i
\(605\) −22.2501 + 7.28682i −0.904597 + 0.296251i
\(606\) 0.676141 + 8.56763i 0.0274664 + 0.348036i
\(607\) −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
\(609\) 12.1976 14.1311i 0.494270 0.572621i
\(610\) 10.9959 + 16.8463i 0.445213 + 0.682086i
\(611\) −12.4242 7.17311i −0.502629 0.290193i
\(612\) −10.0218 22.4834i −0.405109 0.908837i
\(613\) 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
\(615\) 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 −0.136996 0.990572i \(-0.543745\pi\)
0.990572 + 0.136996i \(0.0437449\pi\)
\(618\) 11.6178 + 2.15065i 0.467336 + 0.0865117i
\(619\) −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
\(621\) −4.78065 + 16.1775i −0.191841 + 0.649181i
\(622\) −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
\(627\) 0.735295 + 0.627728i 0.0293649 + 0.0250690i
\(628\) 1.24896 + 4.66119i 0.0498391 + 0.186002i
\(629\) −46.2478 −1.84402
\(630\) −5.19427 + 15.8412i −0.206945 + 0.631128i
\(631\) −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
\(633\) −33.5094 28.6072i −1.33188 1.13704i
\(634\) −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
\(639\) 20.9327 3.32464i 0.828083 0.131521i
\(640\) 10.0478 + 5.09016i 0.397172 + 0.201206i
\(641\) −31.5849 + 18.2355i −1.24753 + 0.720260i −0.970616 0.240635i \(-0.922644\pi\)
−0.276912 + 0.960895i \(0.589311\pi\)
\(642\) −29.2998 5.42389i −1.15637 0.214064i
\(643\) −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
\(645\) 22.4606 + 17.1441i 0.884386 + 0.675047i
\(646\) −2.64500 + 4.58128i −0.104066 + 0.180248i
\(647\) 10.3309 + 2.76815i 0.406148 + 0.108827i 0.456109 0.889924i \(-0.349243\pi\)
−0.0499604 + 0.998751i \(0.515910\pi\)
\(648\) −23.4939 11.9453i −0.922929 0.469256i
\(649\) −1.01801 0.587749i −0.0399605 0.0230712i
\(650\) 3.85594 8.77024i 0.151242 0.343997i
\(651\) 1.88996 + 0.360523i 0.0740733 + 0.0141300i
\(652\) −7.55475 7.55475i −0.295867 0.295867i
\(653\) 0.727486 0.194929i 0.0284687 0.00762817i −0.244557 0.969635i \(-0.578642\pi\)
0.273025 + 0.962007i \(0.411976\pi\)
\(654\) 0.809015 + 10.2513i 0.0316350 + 0.400859i
\(655\) 7.75636 + 23.6839i 0.303066 + 0.925405i
\(656\) −1.98355 1.14520i −0.0774445 0.0447126i
\(657\) −4.92864 + 47.0876i −0.192284 + 1.83706i
\(658\) 8.65626 + 15.1835i 0.337456 + 0.591916i
\(659\) −7.95212 −0.309771 −0.154885 0.987932i \(-0.549501\pi\)
−0.154885 + 0.987932i \(0.549501\pi\)
\(660\) −2.91298 1.19793i −0.113388 0.0466292i
\(661\) 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
\(663\) −25.5047 4.72134i −0.990520 0.183362i
\(664\) 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
\(669\) 18.6522 1.47199i 0.721135 0.0569106i
\(670\) 11.1789 + 10.0185i 0.431879 + 0.387049i
\(671\) 6.96903i 0.269037i
\(672\) −20.3641 + 13.8395i −0.785563 + 0.533871i
\(673\) 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
\(675\) 23.5088 + 11.0605i 0.904855 + 0.425721i
\(676\) 4.93958 + 8.55560i 0.189984 + 0.329062i
\(677\) −11.1292 41.5349i −0.427731 1.59632i −0.757885 0.652388i \(-0.773767\pi\)
0.330154 0.943927i \(-0.392899\pi\)
\(678\) 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
\(681\) 0.794649 + 1.15569i 0.0304510 + 0.0442861i
\(682\) 0.0742679 0.277171i 0.00284386 0.0106134i
\(683\) 10.9131 40.7282i 0.417578 1.55842i −0.362039 0.932163i \(-0.617919\pi\)
0.779616 0.626258i \(-0.215414\pi\)
\(684\) −0.403496 2.54050i −0.0154281 0.0971386i
\(685\) 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
\(688\) −0.973078 3.63158i −0.0370982 0.138453i
\(689\) 5.56316 + 9.63568i 0.211940 + 0.367090i
\(690\) −9.35147 + 7.21349i −0.356004 + 0.274613i
\(691\) 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
\(693\) 4.50633 3.61186i 0.171181 0.137203i
\(694\) 25.7420i 0.977151i
\(695\) −1.98734 + 2.21752i −0.0753841 + 0.0841154i
\(696\) 1.62556 + 20.5981i 0.0616167 + 0.780768i
\(697\) 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 \(0.268038\pi\)
−0.665923 + 0.746020i \(0.731962\pi\)
\(702\) −8.74671 + 4.75638i −0.330123 + 0.179518i
\(703\) −4.66820 1.25084i −0.176065 0.0471764i
\(704\) 2.21099 + 3.82954i 0.0833298 + 0.144331i
\(705\) 25.1380 10.4875i 0.946751 0.394981i
\(706\) 27.7161 1.04311
\(707\) 6.92207 + 12.1417i 0.260331 + 0.456634i
\(708\) 1.04466 + 2.94801i 0.0392607 + 0.110793i
\(709\) −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
\(711\) 7.20267 18.7877i 0.270121 0.704595i
\(712\) 39.3175 10.5351i 1.47349 0.394819i
\(713\) 0.963825 + 0.963825i 0.0360955 + 0.0360955i
\(714\) 23.9209 + 20.6479i 0.895218 + 0.772727i
\(715\) −2.77921 + 1.81405i −0.103937 + 0.0678417i
\(716\) −12.3015 7.10230i −0.459730 0.265425i
\(717\) 0.109046 + 0.0930938i 0.00407241 + 0.00347665i
\(718\) −26.0494 6.97990i −0.972153 0.260488i
\(719\) −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
\(723\) −4.57730 + 24.7265i −0.170231 + 0.919590i
\(724\) −9.25377 + 5.34267i −0.343914 + 0.198559i
\(725\) −2.22329 20.2460i −0.0825708 0.751917i
\(726\) 9.65169 + 14.0368i 0.358208 + 0.520955i
\(727\) −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
\(732\) −12.0393 + 14.1023i −0.444985 + 0.521237i
\(733\) −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
\(735\) 3.31403 + 26.9076i 0.122240 + 0.992501i
\(736\) −17.4429 −0.642954
\(737\) −1.34591 5.02300i −0.0495772 0.185025i
\(738\) −5.09901 11.4393i −0.187697 0.421087i
\(739\) 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 0.995782 0.0917535i \(-0.0292472\pi\)
−0.0917535 + 0.995782i \(0.529247\pi\)
\(744\) −1.75483 + 1.20662i −0.0643353 + 0.0442368i
\(745\) −2.76445 + 0.905344i −0.101282 + 0.0331692i
\(746\) 19.7811 11.4206i 0.724237 0.418139i
\(747\) 4.56108 6.28347i 0.166881 0.229900i
\(748\) −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 \(0.273159\pi\)
\(752\) −3.50073 0.938019i −0.127659 0.0342060i
\(753\) −18.4517 + 21.6136i −0.672419 + 0.787644i
\(754\) 6.75957 + 3.90264i 0.246169 + 0.142126i
\(755\) −1.45829 + 6.94012i −0.0530726 + 0.252577i
\(756\) −15.3585 0.476006i −0.558584 0.0173122i
\(757\) 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
\(759\) 4.07865 0.321879i 0.148046 0.0116835i
\(760\) 2.27021 4.48129i 0.0823491 0.162554i
\(761\) &minus