Properties

Label 105.2.x.a.23.8
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 23.8
Character \(\chi\) = 105.23
Dual form 105.2.x.a.32.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.907300 - 0.243110i) q^{2} +(1.12459 - 1.31730i) q^{3} +(-0.967960 + 0.558852i) q^{4} +(2.12501 + 0.695932i) q^{5} +(0.700094 - 1.46859i) q^{6} +(-2.64571 - 0.0144144i) q^{7} +(-2.07075 + 2.07075i) q^{8} +(-0.470578 - 2.96286i) q^{9} +O(q^{10})\) \(q+(0.907300 - 0.243110i) q^{2} +(1.12459 - 1.31730i) 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} +(-0.470578 - 2.96286i) q^{9} +(2.09721 + 0.114806i) q^{10} +(0.630122 - 0.363801i) q^{11} +(-0.352384 + 1.90358i) q^{12} +(-1.44243 - 1.44243i) q^{13} +(-2.40396 + 0.630122i) q^{14} +(3.30653 - 2.01665i) q^{15} +(-0.257666 + 0.446291i) q^{16} +(-1.90004 + 7.09105i) q^{17} +(-1.14726 - 2.57380i) 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} +(-0.840245 - 3.13584i) q^{23} +(0.399053 + 5.05655i) q^{24} +(4.03136 + 2.95773i) q^{25} +(-1.65938 - 0.958046i) q^{26} +(-4.43220 - 2.71212i) q^{27} +(2.56900 - 1.46461i) q^{28} +4.07354 q^{29} +(2.50975 - 2.63356i) q^{30} +(-0.209930 - 0.363609i) q^{31} +(1.39061 - 5.18983i) q^{32} +(0.229395 - 1.23919i) 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} +(-3.52226 + 0.277970i) q^{39} +(-5.84146 + 2.95927i) q^{40} +4.44452i q^{41} +(-1.87342 + 3.87538i) q^{42} +(-5.15881 - 5.15881i) q^{43} +(-0.406622 + 0.704289i) q^{44} +(1.06197 - 6.62361i) q^{45} +(-1.52471 - 2.64087i) q^{46} +(6.79316 - 1.82022i) q^{47} +(0.298131 + 0.841320i) q^{48} +(6.99958 + 0.0762729i) q^{49} +(4.37671 + 1.70348i) q^{50} +(7.20429 + 10.4775i) q^{51} +(2.20232 + 0.590109i) q^{52} +(5.26849 + 1.41169i) q^{53} +(-4.68068 - 1.38320i) q^{54} +(1.59220 - 0.334560i) q^{55} +(5.50845 - 5.44875i) q^{56} +(1.25244 - 0.443814i) q^{57} +(3.69592 - 0.990320i) q^{58} +(0.807790 + 1.39913i) q^{59} +(-2.07358 + 3.79989i) q^{60} +(4.78904 - 8.29486i) q^{61} +(-0.278866 - 0.278866i) q^{62} +(1.20230 + 7.84567i) q^{63} -6.07747i q^{64} +(-2.06135 - 4.06901i) q^{65} +(-0.0931301 - 1.18009i) 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} +(7.10979 + 5.16089i) q^{72} +(-4.08458 + 15.2439i) q^{73} +(-2.95870 - 5.12462i) q^{74} +(8.42987 - 1.98428i) q^{75} -0.857449 q^{76} +(-1.67236 + 0.953430i) q^{77} +(-3.12817 + 1.10850i) q^{78} +(5.80845 + 3.35351i) q^{79} +(-0.858131 + 0.769055i) q^{80} +(-8.55711 + 2.78851i) q^{81} +(1.08051 + 4.03251i) 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} +(4.58108 - 5.36609i) q^{87} +(-0.551483 + 2.05816i) q^{88} +(-6.94977 + 12.0373i) q^{89} +(-0.646746 - 6.26778i) q^{90} +(3.79546 + 3.83704i) q^{91} +(2.56579 + 2.56579i) q^{92} +(-0.715068 - 0.132371i) q^{93} +(5.72092 - 3.30298i) q^{94} +(1.14486 + 1.27746i) q^{95} +(-5.27271 - 7.66830i) 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 0.0766491 0.997058i \(-0.475578\pi\)
0.564909 + 0.825153i \(0.308911\pi\)
\(3\) 1.12459 1.31730i 0.649285 0.760546i
\(4\) −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
\(9\) −0.470578 2.96286i −0.156859 0.987621i
\(10\) 2.09721 + 0.114806i 0.663197 + 0.0363049i
\(11\) 0.630122 0.363801i 0.189989 0.109690i −0.401988 0.915645i \(-0.631681\pi\)
0.591977 + 0.805955i \(0.298347\pi\)
\(12\) −0.352384 + 1.90358i −0.101724 + 0.549516i
\(13\) −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
\(15\) 3.30653 2.01665i 0.853742 0.520696i
\(16\) −0.257666 + 0.446291i −0.0644165 + 0.111573i
\(17\) −1.90004 + 7.09105i −0.460828 + 1.71983i 0.209538 + 0.977801i \(0.432804\pi\)
−0.670365 + 0.742031i \(0.733863\pi\)
\(18\) −1.14726 2.57380i −0.270411 0.606651i
\(19\) 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
\(21\) −2.99434 + 3.46900i −0.653418 + 0.756997i
\(22\) 0.483266 0.483266i 0.103033 0.103033i
\(23\) −0.840245 3.13584i −0.175203 0.653867i −0.996517 0.0833906i \(-0.973425\pi\)
0.821314 0.570477i \(-0.193242\pi\)
\(24\) 0.399053 + 5.05655i 0.0814564 + 1.03216i
\(25\) 4.03136 + 2.95773i 0.806272 + 0.591545i
\(26\) −1.65938 0.958046i −0.325432 0.187888i
\(27\) −4.43220 2.71212i −0.852977 0.521948i
\(28\) 2.56900 1.46461i 0.485495 0.276785i
\(29\) 4.07354 0.756437 0.378219 0.925716i \(-0.376537\pi\)
0.378219 + 0.925716i \(0.376537\pi\)
\(30\) 2.50975 2.63356i 0.458215 0.480819i
\(31\) −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
\(33\) 0.229395 1.23919i 0.0399325 0.215715i
\(34\) 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
\(39\) −3.52226 + 0.277970i −0.564013 + 0.0445108i
\(40\) −5.84146 + 2.95927i −0.923616 + 0.467901i
\(41\) 4.44452i 0.694117i 0.937843 + 0.347058i \(0.112819\pi\)
−0.937843 + 0.347058i \(0.887181\pi\)
\(42\) −1.87342 + 3.87538i −0.289074 + 0.597983i
\(43\) −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
\(45\) 1.06197 6.62361i 0.158309 0.987390i
\(46\) −1.52471 2.64087i −0.224806 0.389376i
\(47\) 6.79316 1.82022i 0.990885 0.265507i 0.273263 0.961939i \(-0.411897\pi\)
0.717622 + 0.696433i \(0.245231\pi\)
\(48\) 0.298131 + 0.841320i 0.0430315 + 0.121434i
\(49\) 6.99958 + 0.0762729i 0.999941 + 0.0108961i
\(50\) 4.37671 + 1.70348i 0.618960 + 0.240909i
\(51\) 7.20429 + 10.4775i 1.00880 + 1.46714i
\(52\) 2.20232 + 0.590109i 0.305406 + 0.0818334i
\(53\) 5.26849 + 1.41169i 0.723683 + 0.193910i 0.601814 0.798636i \(-0.294445\pi\)
0.121869 + 0.992546i \(0.461111\pi\)
\(54\) −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
\(57\) 1.25244 0.443814i 0.165889 0.0587846i
\(58\) 3.69592 0.990320i 0.485298 0.130035i
\(59\) 0.807790 + 1.39913i 0.105165 + 0.182152i 0.913806 0.406152i \(-0.133130\pi\)
−0.808640 + 0.588303i \(0.799796\pi\)
\(60\) −2.07358 + 3.79989i −0.267698 + 0.490564i
\(61\) 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
\(63\) 1.20230 + 7.84567i 0.151476 + 0.988461i
\(64\) 6.07747i 0.759683i
\(65\) −2.06135 4.06901i −0.255679 0.504699i
\(66\) −0.0931301 1.18009i −0.0114635 0.145259i
\(67\) −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 \(-0.862300\pi\)
0.907880 0.419231i \(-0.137700\pi\)
\(72\) 7.10979 + 5.16089i 0.837896 + 0.608217i
\(73\) −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
\(75\) 8.42987 1.98428i 0.973397 0.229125i
\(76\) −0.857449 −0.0983562
\(77\) −1.67236 + 0.953430i −0.190584 + 0.108653i
\(78\) −3.12817 + 1.10850i −0.354196 + 0.125513i
\(79\) 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
\(81\) −8.55711 + 2.78851i −0.950790 + 0.309835i
\(82\) 1.08051 + 4.03251i 0.119322 + 0.445316i
\(83\) 1.83008 1.83008i 0.200877 0.200877i −0.599499 0.800376i \(-0.704633\pi\)
0.800376 + 0.599499i \(0.204633\pi\)
\(84\) 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
\(87\) 4.58108 5.36609i 0.491143 0.575305i
\(88\) −0.551483 + 2.05816i −0.0587883 + 0.219401i
\(89\) −6.94977 + 12.0373i −0.736674 + 1.27596i 0.217311 + 0.976102i \(0.430271\pi\)
−0.953985 + 0.299854i \(0.903062\pi\)
\(90\) −0.646746 6.26778i −0.0681730 0.660682i
\(91\) 3.79546 + 3.83704i 0.397872 + 0.402231i
\(92\) 2.56579 + 2.56579i 0.267502 + 0.267502i
\(93\) −0.715068 0.132371i −0.0741491 0.0137262i
\(94\) 5.72092 3.30298i 0.590068 0.340676i
\(95\) 1.14486 + 1.27746i 0.117460 + 0.131065i
\(96\) −5.27271 7.66830i −0.538143 0.782643i
\(97\) 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 −0.710028 0.704174i \(-0.751318\pi\)
0.254818 + 0.966989i \(0.417984\pi\)
\(102\) 9.08364 + 7.75478i 0.899414 + 0.767838i
\(103\) −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
\(105\) −8.77719 + 5.28780i −0.856566 + 0.516037i
\(106\) 5.12330 0.497619
\(107\) −17.6912 + 4.74035i −1.71028 + 0.458267i −0.975492 0.220035i \(-0.929383\pi\)
−0.734783 + 0.678302i \(0.762716\pi\)
\(108\) 5.80586 + 0.148284i 0.558670 + 0.0142687i
\(109\) 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 −0.974771 0.223206i \(-0.928348\pi\)
0.223206 + 0.974771i \(0.428348\pi\)
\(114\) 1.02844 0.707153i 0.0963223 0.0662310i
\(115\) 0.396797 7.24845i 0.0370015 0.675921i
\(116\) −3.94302 + 2.27650i −0.366100 + 0.211368i
\(117\) −3.59494 + 4.95249i −0.332353 + 0.457858i
\(118\) 1.07305 + 1.07305i 0.0987824 + 0.0987824i
\(119\) 5.12917 18.7335i 0.470191 1.71730i
\(120\) −2.67102 + 11.0230i −0.243830 + 1.00625i
\(121\) −5.23530 + 9.06780i −0.475936 + 0.824346i
\(122\) 2.32853 8.69020i 0.210815 0.786774i
\(123\) 5.85478 + 4.99828i 0.527908 + 0.450679i
\(124\) 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 −0.753202 0.657789i \(-0.771492\pi\)
0.657789 + 0.753202i \(0.271492\pi\)
\(128\) 1.30372 + 4.86556i 0.115234 + 0.430059i
\(129\) −12.5973 + 0.994153i −1.10913 + 0.0875303i
\(130\) −2.85948 3.19068i −0.250793 0.279841i
\(131\) 9.65210 + 5.57264i 0.843308 + 0.486884i 0.858387 0.513002i \(-0.171467\pi\)
−0.0150794 + 0.999886i \(0.504800\pi\)
\(132\) 0.470479 + 1.32768i 0.0409499 + 0.115560i
\(133\) −1.75221 1.02441i −0.151936 0.0888275i
\(134\) −6.71326 −0.579937
\(135\) −7.53103 8.84780i −0.648168 0.761498i
\(136\) −10.7493 18.6183i −0.921742 1.59650i
\(137\) 2.98501 11.1402i 0.255026 0.951771i −0.713050 0.701114i \(-0.752687\pi\)
0.968076 0.250657i \(-0.0806468\pi\)
\(138\) −5.19351 0.961406i −0.442101 0.0818403i
\(139\) 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
\(144\) 1.44355 + 0.553415i 0.120296 + 0.0461179i
\(145\) 8.65632 + 2.83490i 0.718868 + 0.235426i
\(146\) 14.8238i 1.22682i
\(147\) 7.97216 9.13480i 0.657533 0.753426i
\(148\) 4.97893 + 4.97893i 0.409265 + 0.409265i
\(149\) 0.650455 1.12662i 0.0532873 0.0922963i −0.838151 0.545438i \(-0.816363\pi\)
0.891439 + 0.453141i \(0.149697\pi\)
\(150\) 7.16602 3.84973i 0.585103 0.314329i
\(151\) 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
\(153\) 21.9039 + 2.29267i 1.77083 + 0.185352i
\(154\) −1.28555 + 1.27162i −0.103592 + 0.102470i
\(155\) −0.193056 0.918770i −0.0155066 0.0737974i
\(156\) 3.25406 2.23749i 0.260534 0.179142i
\(157\) 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
\(159\) 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
\(162\) −7.08596 + 4.61034i −0.556725 + 0.362223i
\(163\) 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
\(165\) 1.34986 2.47365i 0.105086 0.192574i
\(166\) 1.21552 2.10534i 0.0943426 0.163406i
\(167\) 5.52186 + 5.52186i 0.427294 + 0.427294i 0.887706 0.460411i \(-0.152298\pi\)
−0.460411 + 0.887706i \(0.652298\pi\)
\(168\) −0.982893 13.3839i −0.0758318 1.03259i
\(169\) 8.83880i 0.679908i
\(170\) −4.79889 + 14.6533i −0.368058 + 1.12386i
\(171\) 0.823845 2.14895i 0.0630010 0.164334i
\(172\) 7.87652 + 2.11051i 0.600579 + 0.160925i
\(173\) 3.46278 + 12.9233i 0.263271 + 0.982539i 0.963300 + 0.268426i \(0.0865034\pi\)
−0.700030 + 0.714114i \(0.746830\pi\)
\(174\) 2.85186 5.98236i 0.216199 0.453522i
\(175\) −10.6232 7.88340i −0.803037 0.595929i
\(176\) 0.374957i 0.0282634i
\(177\) 2.75152 + 0.509352i 0.206817 + 0.0382852i
\(178\) −3.37912 + 12.6110i −0.253276 + 0.945238i
\(179\) 6.35437 + 11.0061i 0.474948 + 0.822633i 0.999588 0.0286903i \(-0.00913367\pi\)
−0.524641 + 0.851324i \(0.675800\pi\)
\(180\) 2.67368 + 7.00487i 0.199284 + 0.522112i
\(181\) −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
\(183\) −5.54113 15.6370i −0.409612 1.15592i
\(184\) 8.23346 + 4.75359i 0.606979 + 0.350439i
\(185\) 0.769986 14.0656i 0.0566105 1.03413i
\(186\) −0.680963 + 0.0537403i −0.0499306 + 0.00394043i
\(187\) 1.38247 + 5.15946i 0.101096 + 0.377297i
\(188\) −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 \(0.720835\pi\)
\(192\) −8.00587 6.83468i −0.577774 0.493251i
\(193\) 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
\(195\) −7.67830 1.86056i −0.549854 0.133238i
\(196\) −6.81794 + 3.83790i −0.486996 + 0.274136i
\(197\) −3.81705 3.81705i −0.271954 0.271954i 0.557933 0.829886i \(-0.311595\pi\)
−0.829886 + 0.557933i \(0.811595\pi\)
\(198\) −1.65926 1.20444i −0.117919 0.0855956i
\(199\) −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
\(201\) −10.2004 + 7.01375i −0.719479 + 0.494712i
\(202\) −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
\(207\) −8.89566 + 3.96519i −0.618291 + 0.275599i
\(208\) 1.01541 0.272077i 0.0704058 0.0188652i
\(209\) 0.558182 0.0386103
\(210\) −6.67803 + 6.93145i −0.460828 + 0.478316i
\(211\) 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
\(213\) −9.30676 7.94527i −0.637689 0.544401i
\(214\) −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
\(219\) 15.4873 + 22.5238i 1.04654 + 1.52202i
\(220\) −1.35421 + 1.21364i −0.0913011 + 0.0818238i
\(221\) 12.9690 7.48766i 0.872389 0.503674i
\(222\) −10.0780 1.86561i −0.676393 0.125212i
\(223\) −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
\(225\) 6.86627 13.3362i 0.457752 0.889080i
\(226\) −5.30638 + 9.19092i −0.352975 + 0.611371i
\(227\) −0.209579 + 0.782158i −0.0139102 + 0.0519137i −0.972532 0.232769i \(-0.925221\pi\)
0.958622 + 0.284682i \(0.0918881\pi\)
\(228\) −0.964282 + 1.12952i −0.0638611 + 0.0748044i
\(229\) −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
\(231\) −0.624775 + 3.27523i −0.0411072 + 0.215495i
\(232\) −8.43527 + 8.43527i −0.553803 + 0.553803i
\(233\) −3.42317 12.7754i −0.224259 0.836946i −0.982700 0.185204i \(-0.940705\pi\)
0.758441 0.651742i \(-0.225961\pi\)
\(234\) −2.05769 + 5.36736i −0.134515 + 0.350876i
\(235\) 15.7023 + 0.859581i 1.02431 + 0.0560729i
\(236\) −1.56382 0.902869i −0.101796 0.0587718i
\(237\) 10.9497 3.88016i 0.711263 0.252043i
\(238\) 0.0993966 18.2439i 0.00644292 1.18257i
\(239\) 0.0827799 0.00535459 0.00267729 0.999996i \(-0.499148\pi\)
0.00267729 + 0.999996i \(0.499148\pi\)
\(240\) 0.0480302 + 1.99529i 0.00310034 + 0.128796i
\(241\) −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
\(243\) −5.94996 + 14.4083i −0.381690 + 0.924290i
\(244\) 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
\(249\) −0.352674 4.46886i −0.0223498 0.283203i
\(250\) 8.11505 + 6.66581i 0.513241 + 0.421583i
\(251\) 16.4075i 1.03563i −0.855493 0.517815i \(-0.826746\pi\)
0.855493 0.517815i \(-0.173254\pi\)
\(252\) −5.54835 6.92238i −0.349513 0.436069i
\(253\) −1.67028 1.67028i −0.105009 0.105009i
\(254\) −0.714167 + 1.23697i −0.0448108 + 0.0776146i
\(255\) 8.01760 + 27.2785i 0.502082 + 1.70824i
\(256\) 8.44320 + 14.6241i 0.527700 + 0.914004i
\(257\) 1.33133 0.356728i 0.0830459 0.0222521i −0.217057 0.976159i \(-0.569646\pi\)
0.300103 + 0.953907i \(0.402979\pi\)
\(258\) −11.1878 + 3.96452i −0.696523 + 0.246820i
\(259\) 4.22612 + 16.1229i 0.262598 + 1.00183i
\(260\) 4.26927 + 2.78665i 0.264769 + 0.172821i
\(261\) −1.91692 12.0693i −0.118654 0.747073i
\(262\) 10.1121 + 2.70953i 0.624729 + 0.167396i
\(263\) −19.1314 5.12625i −1.17969 0.316098i −0.384888 0.922963i \(-0.625760\pi\)
−0.794805 + 0.606865i \(0.792427\pi\)
\(264\) 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
\(267\) 8.04118 + 22.6921i 0.492112 + 1.38873i
\(268\) 7.71607 2.06752i 0.471334 0.126294i
\(269\) 0.835235 + 1.44667i 0.0509252 + 0.0882050i 0.890364 0.455249i \(-0.150450\pi\)
−0.839439 + 0.543454i \(0.817116\pi\)
\(270\) −8.98390 6.19675i −0.546742 0.377122i
\(271\) −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
\(273\) 9.32290 0.684657i 0.564247 0.0414373i
\(274\) 10.8332i 0.654457i
\(275\) 3.61627 + 0.397116i 0.218069 + 0.0239470i
\(276\) 6.26540 0.494453i 0.377133 0.0297626i
\(277\) −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 \(-0.859714\pi\)
0.904444 0.426593i \(-0.140286\pi\)
\(282\) 2.08269 11.2507i 0.124023 0.669970i
\(283\) 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
\(285\) 2.97031 0.0715005i 0.175946 0.00423533i
\(286\) −1.39415 −0.0824380
\(287\) 0.0640652 11.7589i 0.00378165 0.694107i
\(288\) −16.0311 1.67797i −0.944644 0.0988753i
\(289\) −31.9504 18.4466i −1.87943 1.08509i
\(290\) 8.54308 + 0.467668i 0.501667 + 0.0274624i
\(291\) −1.08410 13.7370i −0.0635509 0.805277i
\(292\) −4.56535 17.0381i −0.267167 0.997081i
\(293\) 9.37059 9.37059i 0.547436 0.547436i −0.378262 0.925698i \(-0.623478\pi\)
0.925698 + 0.378262i \(0.123478\pi\)
\(294\) 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
\(297\) −3.77950 0.0965300i −0.219309 0.00560124i
\(298\) 0.316265 1.18032i 0.0183207 0.0683738i
\(299\) −3.31123 + 5.73521i −0.191493 + 0.331676i
\(300\) −7.05085 + 6.63175i −0.407081 + 0.382884i
\(301\) 13.5744 + 13.7231i 0.782413 + 0.790985i
\(302\) 2.10647 + 2.10647i 0.121214 + 0.121214i
\(303\) −1.66545 + 8.99674i −0.0956774 + 0.516849i
\(304\) −0.342373 + 0.197669i −0.0196364 + 0.0113371i
\(305\) 15.9494 14.2938i 0.913262 0.818463i
\(306\) 20.4308 3.24493i 1.16795 0.185500i
\(307\) −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 −0.831678 0.555258i \(-0.812619\pi\)
0.0650288 + 0.997883i \(0.479286\pi\)
\(312\) 6.71811 7.86932i 0.380338 0.445512i
\(313\) 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
\(315\) −2.90513 + 17.5089i −0.163686 + 0.986513i
\(316\) −7.49647 −0.421709
\(317\) 23.2486 6.22945i 1.30577 0.349881i 0.462143 0.886805i \(-0.347081\pi\)
0.843630 + 0.536924i \(0.180414\pi\)
\(318\) 5.76163 6.74894i 0.323096 0.378462i
\(319\) 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
\(324\) 6.72457 7.48133i 0.373587 0.415629i
\(325\) −1.54864 10.0813i −0.0859029 0.559207i
\(326\) 7.77582 4.48937i 0.430663 0.248643i
\(327\) 1.99274 10.7648i 0.110199 0.595293i
\(328\) −9.20347 9.20347i −0.508177 0.508177i
\(329\) −17.9990 + 4.71787i −0.992317 + 0.260104i
\(330\) 0.623356 2.57251i 0.0343146 0.141612i
\(331\) −4.82052 + 8.34938i −0.264960 + 0.458923i −0.967553 0.252668i \(-0.918692\pi\)
0.702594 + 0.711591i \(0.252025\pi\)
\(332\) −0.748700 + 2.79418i −0.0410902 + 0.153351i
\(333\) −17.2621 + 7.69446i −0.945955 + 0.421654i
\(334\) 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 −0.757658 0.652652i \(-0.773656\pi\)
0.652652 + 0.757658i \(0.273656\pi\)
\(338\) −2.14880 8.01945i −0.116880 0.436200i
\(339\) 1.53961 + 19.5089i 0.0836200 + 1.05958i
\(340\) 1.00289 18.3201i 0.0543892 0.993549i
\(341\) −0.264562 0.152745i −0.0143269 0.00827162i
\(342\) 0.225042 2.15003i 0.0121689 0.116260i
\(343\) −18.5178 0.302691i −0.999866 0.0163438i
\(344\) 21.3652 1.15193
\(345\) −9.10217 8.67426i −0.490044 0.467007i
\(346\) 6.28357 + 10.8835i 0.337807 + 0.585099i
\(347\) −7.09301 + 26.4715i −0.380773 + 1.42106i 0.463951 + 0.885861i \(0.346431\pi\)
−0.844724 + 0.535202i \(0.820235\pi\)
\(348\) −1.43545 + 7.75430i −0.0769482 + 0.415674i
\(349\) 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 0.918747 0.394846i \(-0.129202\pi\)
0.598236 + 0.801320i \(0.295869\pi\)
\(354\) 2.62028 0.206788i 0.139266 0.0109906i
\(355\) 4.91676 15.0132i 0.260955 0.796820i
\(356\) 15.5356i 0.823383i
\(357\) −18.9095 27.8242i −1.00079 1.47262i
\(358\) 8.44101 + 8.44101i 0.446121 + 0.446121i
\(359\) 14.3554 24.8643i 0.757650 1.31229i −0.186396 0.982475i \(-0.559681\pi\)
0.944046 0.329814i \(-0.106986\pi\)
\(360\) 11.5168 + 15.9149i 0.606987 + 0.838788i
\(361\) −9.20574 15.9448i −0.484513 0.839200i
\(362\) −8.67386 + 2.32415i −0.455888 + 0.122155i
\(363\) 6.05746 + 17.0941i 0.317934 + 0.897206i
\(364\) −5.81819 1.59300i −0.304956 0.0834960i
\(365\) −19.2885 + 29.5508i −1.00961 + 1.54676i
\(366\) −8.82898 12.8403i −0.461498 0.671175i
\(367\) 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
\(369\) 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
\(372\) 0.766133 0.271487i 0.0397222 0.0140760i
\(373\) 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
\(375\) 19.2945 + 1.64999i 0.996363 + 0.0852050i
\(376\) −10.2977 + 17.8361i −0.531064 + 0.919829i
\(377\) −5.87579 5.87579i −0.302618 0.302618i
\(378\) 12.3638 + 3.72701i 0.635925 + 0.191697i
\(379\) 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
\(381\) 0.207210 + 2.62564i 0.0106157 + 0.134516i
\(382\) −4.24712 1.13801i −0.217302 0.0582258i
\(383\) −2.64013 9.85308i −0.134904 0.503469i −0.999998 0.00185953i \(-0.999408\pi\)
0.865094 0.501610i \(-0.167259\pi\)
\(384\) 7.87559 + 3.75438i 0.401899 + 0.191590i
\(385\) −4.21732 + 0.862199i −0.214934 + 0.0439417i
\(386\) 6.75059i 0.343596i
\(387\) −12.8572 + 17.7125i −0.653569 + 0.900375i
\(388\) −2.30145 + 8.58914i −0.116839 + 0.436048i
\(389\) −8.33093 14.4296i −0.422395 0.731609i 0.573778 0.819011i \(-0.305477\pi\)
−0.996173 + 0.0874014i \(0.972144\pi\)
\(390\) −7.41885 + 0.178585i −0.375668 + 0.00904298i
\(391\) 23.8329 1.20528
\(392\) −14.6523 + 14.3364i −0.740054 + 0.724099i
\(393\) 18.1956 6.44779i 0.917844 0.325248i
\(394\) −4.39118 2.53525i −0.221224 0.127724i
\(395\) 10.0092 + 11.1685i 0.503619 + 0.561951i
\(396\) 2.27806 + 0.873341i 0.114477 + 0.0438871i
\(397\) 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
\(399\) −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 \(0.501536\pi\)
\(402\) −7.54969 + 8.84340i −0.376544 + 0.441068i
\(403\) −0.221671 + 0.827288i −0.0110422 + 0.0412101i
\(404\) 2.95215 5.11327i 0.146875 0.254394i
\(405\) −20.1246 0.0295385i −0.999999 0.00146778i
\(406\) −9.79262 + 2.56683i −0.486000 + 0.127389i
\(407\) −3.24118 3.24118i −0.160659 0.160659i
\(408\) −36.6145 6.77795i −1.81269 0.335558i
\(409\) 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
\(411\) −11.3181 16.4604i −0.558281 0.811929i
\(412\) 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
\(417\) −1.75423 1.49760i −0.0859052 0.0733380i
\(418\) 0.506439 0.135700i 0.0247707 0.00663730i
\(419\) −23.9293 −1.16902 −0.584511 0.811386i \(-0.698714\pi\)
−0.584511 + 0.811386i \(0.698714\pi\)
\(420\) 5.54087 10.0235i 0.270367 0.489098i
\(421\) −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
\(423\) −8.58978 19.2707i −0.417649 0.936971i
\(424\) −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
\(429\) −2.11833 + 1.45656i −0.102274 + 0.0703233i
\(430\) −10.2269 11.4114i −0.493183 0.550306i
\(431\) −27.8066 + 16.0542i −1.33940 + 0.773302i −0.986718 0.162443i \(-0.948063\pi\)
−0.352680 + 0.935744i \(0.614729\pi\)
\(432\) 2.35242 1.27923i 0.113181 0.0615468i
\(433\) 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
\(435\) 13.4693 8.21489i 0.645802 0.393874i
\(436\) −3.53230 + 6.11812i −0.169166 + 0.293005i
\(437\) 0.644596 2.40567i 0.0308352 0.115079i
\(438\) 19.5274 + 16.6707i 0.933056 + 0.796558i
\(439\) −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
\(441\) −3.06786 20.7747i −0.146089 0.989272i
\(442\) 9.94645 9.94645i 0.473104 0.473104i
\(443\) 6.89265 + 25.7237i 0.327480 + 1.22217i 0.911796 + 0.410644i \(0.134696\pi\)
−0.584316 + 0.811526i \(0.698637\pi\)
\(444\) 12.1580 0.959488i 0.576995 0.0455353i
\(445\) −23.1455 + 20.7430i −1.09720 + 0.983310i
\(446\) −8.78730 5.07335i −0.416091 0.240230i
\(447\) −0.752604 2.12384i −0.0355969 0.100454i
\(448\) −0.0876032 + 16.0792i −0.00413886 + 0.759672i
\(449\) −13.5069 −0.637430 −0.318715 0.947851i \(-0.603251\pi\)
−0.318715 + 0.947851i \(0.603251\pi\)
\(450\) 2.98760 13.7692i 0.140837 0.649086i
\(451\) 1.61692 + 2.80059i 0.0761378 + 0.131875i
\(452\) 3.26847 12.1981i 0.153736 0.573750i
\(453\) 5.40142 + 0.999893i 0.253781 + 0.0469791i
\(454\) 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
\(459\) 27.6532 26.2758i 1.29074 1.22645i
\(460\) 3.66672 + 7.23796i 0.170962 + 0.337471i
\(461\) 4.02367i 0.187401i −0.995600 0.0937006i \(-0.970130\pi\)
0.995600 0.0937006i \(-0.0298696\pi\)
\(462\) 0.229385 + 3.12351i 0.0106720 + 0.145319i
\(463\) −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
\(465\) −1.42741 0.778929i −0.0661945 0.0361220i
\(466\) −6.21168 10.7589i −0.287750 0.498398i
\(467\) 29.1344 7.80654i 1.34818 0.361244i 0.488717 0.872442i \(-0.337465\pi\)
0.859462 + 0.511199i \(0.170798\pi\)
\(468\) 0.712051 6.80285i 0.0329146 0.314462i
\(469\) 18.2380 + 4.99352i 0.842154 + 0.230579i
\(470\) 14.4557 3.03750i 0.666791 0.140109i
\(471\) 6.16193 4.23693i 0.283927 0.195227i
\(472\) −4.56998 1.22452i −0.210350 0.0563632i
\(473\) −5.12746 1.37390i −0.235761 0.0631719i
\(474\) 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
\(477\) 1.70340 16.2741i 0.0779935 0.745141i
\(478\) 0.0751063 0.0201247i 0.00343528 0.000920481i
\(479\) 6.48360 + 11.2299i 0.296243 + 0.513108i 0.975273 0.221002i \(-0.0709328\pi\)
−0.679030 + 0.734110i \(0.737599\pi\)
\(480\) −5.86795 19.9647i −0.267834 0.911259i
\(481\) −6.42545 + 11.1292i −0.292975 + 0.507448i
\(482\) −9.64299 9.64299i −0.439226 0.439226i
\(483\) 13.3942 + 6.47496i 0.609457 + 0.294621i
\(484\) 11.7030i 0.531955i
\(485\) 15.8693 8.03935i 0.720590 0.365048i
\(486\) −1.89560 + 14.5191i −0.0859862 + 0.658601i
\(487\) 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 \(0.127773\pi\)
−0.920511 + 0.390716i \(0.872227\pi\)
\(492\) −8.46048 1.56618i −0.381428 0.0706087i
\(493\) −7.73989 + 28.8857i −0.348587 + 1.30094i
\(494\) −0.734968 1.27300i −0.0330678 0.0572750i
\(495\) −1.74051 4.56003i −0.0782300 0.204958i
\(496\) 0.216367 0.00971516
\(497\) −0.101838 + 18.6920i −0.00456806 + 0.838450i
\(498\) −1.40641 3.96886i −0.0630227 0.177849i
\(499\) −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
\(501\) 13.4838 1.06412i 0.602413 0.0475412i
\(502\) −3.98883 14.8865i −0.178030 0.664417i
\(503\) −2.89757 + 2.89757i −0.129196 + 0.129196i −0.768748 0.639552i \(-0.779120\pi\)
0.639552 + 0.768748i \(0.279120\pi\)
\(504\) −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
\(507\) −11.6434 9.94006i −0.517101 0.441454i
\(508\) 0.439891 1.64170i 0.0195170 0.0728385i
\(509\) 1.72948 2.99555i 0.0766579 0.132775i −0.825148 0.564916i \(-0.808908\pi\)
0.901806 + 0.432141i \(0.142242\pi\)
\(510\) 13.9060 + 22.8006i 0.615770 + 1.00963i
\(511\) 11.0264 40.2720i 0.487778 1.78153i
\(512\) 4.09210 + 4.09210i 0.180847 + 0.180847i
\(513\) −1.90433 3.50195i −0.0840782 0.154615i
\(514\) 1.12119 0.647319i 0.0494536 0.0285520i
\(515\) −16.2147 0.887628i −0.714503 0.0391136i
\(516\) 11.6381 8.00231i 0.512337 0.352282i
\(517\) 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 0.379710 0.925105i \(-0.376024\pi\)
0.991020 + 0.133714i \(0.0426903\pi\)
\(522\) −4.67340 10.4845i −0.204549 0.458894i
\(523\) −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
\(525\) −22.3316 + 5.12833i −0.974631 + 0.223818i
\(526\) −18.6042 −0.811181
\(527\) 2.97724 0.797749i 0.129691 0.0347505i
\(528\) 0.493932 + 0.421674i 0.0214956 + 0.0183510i
\(529\) 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
\(534\) 12.8124 + 18.6336i 0.554449 + 0.806356i
\(535\) −40.8930 2.23858i −1.76796 0.0967822i
\(536\) 18.1259 10.4650i 0.782918 0.452018i
\(537\) 21.6444 + 4.00675i 0.934026 + 0.172904i
\(538\) 1.10951 + 1.10951i 0.0478343 + 0.0478343i
\(539\) 4.43834 2.49839i 0.191173 0.107613i
\(540\) 12.2343 + 4.35559i 0.526482 + 0.187435i
\(541\) 16.1283 27.9350i 0.693408 1.20102i −0.277306 0.960782i \(-0.589442\pi\)
0.970714 0.240237i \(-0.0772251\pi\)
\(542\) −0.314458 + 1.17357i −0.0135071 + 0.0504093i
\(543\) −10.7512 + 12.5935i −0.461378 + 0.540440i
\(544\) 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 −0.0873598 0.996177i \(-0.527843\pi\)
0.996177 + 0.0873598i \(0.0278430\pi\)
\(548\) 3.33635 + 12.4514i 0.142522 + 0.531899i
\(549\) −26.8302 10.2859i −1.14508 0.438991i
\(550\) 3.37759 0.518849i 0.144021 0.0221238i
\(551\) 2.70635 + 1.56251i 0.115294 + 0.0665653i
\(552\) 15.5212 5.50011i 0.660627 0.234100i
\(553\) −15.3192 8.95616i −0.651437 0.380854i
\(554\) −10.9971 −0.467222
\(555\) −17.6628 16.8324i −0.749744 0.714497i
\(556\) 0.744214 + 1.28902i 0.0315617 + 0.0546665i
\(557\) 1.97731 7.37940i 0.0837811 0.312675i −0.911299 0.411744i \(-0.864920\pi\)
0.995081 + 0.0990688i \(0.0315864\pi\)
\(558\) −0.695014 + 0.957470i −0.0294223 + 0.0405330i
\(559\) 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 0.389555 0.921003i \(-0.372629\pi\)
−0.123137 + 0.992390i \(0.539295\pi\)
\(564\) 1.07113 + 13.5727i 0.0451029 + 0.571515i
\(565\) −22.5372 + 11.4173i −0.948149 + 0.480329i
\(566\) 9.81251i 0.412450i
\(567\) 22.6799 7.25426i 0.952464 0.304650i
\(568\) 14.6298 + 14.6298i 0.613855 + 0.613855i
\(569\) −10.0777 + 17.4551i −0.422481 + 0.731758i −0.996181 0.0873070i \(-0.972174\pi\)
0.573701 + 0.819065i \(0.305507\pi\)
\(570\) 2.67758 0.786986i 0.112151 0.0329632i
\(571\) 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
\(573\) −7.64219 + 2.70809i −0.319257 + 0.113132i
\(574\) −2.80059 10.6844i −0.116894 0.445960i
\(575\) 5.88762 15.1269i 0.245531 0.630835i
\(576\) −18.0067 + 2.85992i −0.750279 + 0.119163i
\(577\) −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
\(579\) −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
\(582\) −4.32321 12.2000i −0.179203 0.505707i
\(583\) 3.83337 1.02715i 0.158762 0.0425401i
\(584\) −23.1081 40.0243i −0.956219 1.65622i
\(585\) −11.0859 + 8.02227i −0.458345 + 0.331680i
\(586\) 6.22385 10.7800i 0.257105 0.445319i
\(587\) 3.21441 + 3.21441i 0.132673 + 0.132673i 0.770325 0.637652i \(-0.220094\pi\)
−0.637652 + 0.770325i \(0.720094\pi\)
\(588\) −2.61173 + 13.2974i −0.107706 + 0.548375i
\(589\) 0.322096i 0.0132717i
\(590\) 1.53348 + 3.02702i 0.0631323 + 0.124620i
\(591\) −9.32085 + 0.735583i −0.383409 + 0.0302579i
\(592\) 3.13585 + 0.840248i 0.128883 + 0.0345340i
\(593\) −10.2065 38.0911i −0.419130 1.56421i −0.776417 0.630219i \(-0.782965\pi\)
0.357287 0.933995i \(-0.383702\pi\)
\(594\) −3.45261 + 0.831254i −0.141662 + 0.0341068i
\(595\) 23.9368 36.2393i 0.981313 1.48567i
\(596\) 1.45403i 0.0595594i
\(597\) −3.70675 + 20.0239i −0.151707 + 0.819522i
\(598\) −1.60999 + 6.00855i −0.0658373 + 0.245708i
\(599\) 22.6620 + 39.2518i 0.925945 + 1.60378i 0.790034 + 0.613063i \(0.210063\pi\)
0.135911 + 0.990721i \(0.456604\pi\)
\(600\) −13.3472 + 21.5651i −0.544896 + 0.880390i
\(601\) −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
\(603\) −2.23204 + 21.3246i −0.0908955 + 0.868405i
\(604\) −3.06988 1.77239i −0.124912 0.0721177i
\(605\) −17.4356 + 15.6258i −0.708860 + 0.635278i
\(606\) 0.676141 + 8.56763i 0.0274664 + 0.348036i
\(607\) 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
\(609\) −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
\(612\) −22.4834 + 10.0218i −0.908837 + 0.405109i
\(613\) −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
\(615\) 8.96302 + 14.6959i 0.361424 + 0.592597i
\(616\) 1.48873 5.43736i 0.0599828 0.219077i
\(617\) −21.2024 21.2024i −0.853575 0.853575i 0.136996 0.990572i \(-0.456255\pi\)
−0.990572 + 0.136996i \(0.956255\pi\)
\(618\) −2.15065 + 11.6178i −0.0865117 + 0.467336i
\(619\) 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
\(621\) −4.78065 + 16.1775i −0.191841 + 0.649181i
\(622\) −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
\(627\) 0.627728 0.735295i 0.0250690 0.0293649i
\(628\) −4.66119 + 1.24896i −0.186002 + 0.0498391i
\(629\) 46.2478 1.84402
\(630\) 1.62076 + 16.5921i 0.0645725 + 0.661044i
\(631\) −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
\(633\) 28.6072 33.5094i 1.13704 1.33188i
\(634\) 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
\(639\) −20.9327 + 3.32464i −0.828083 + 0.131521i
\(640\) −0.615670 + 11.2467i −0.0243365 + 0.444564i
\(641\) −31.5849 + 18.2355i −1.24753 + 0.720260i −0.970616 0.240635i \(-0.922644\pi\)
−0.276912 + 0.960895i \(0.589311\pi\)
\(642\) −5.42389 + 29.2998i −0.214064 + 1.15637i
\(643\) −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
\(645\) −27.4612 6.65426i −1.08128 0.262011i
\(646\) −2.64500 + 4.58128i −0.104066 + 0.180248i
\(647\) 2.76815 10.3309i 0.108827 0.406148i −0.889924 0.456109i \(-0.849243\pi\)
0.998751 + 0.0499604i \(0.0159095\pi\)
\(648\) 11.9453 23.4939i 0.469256 0.922929i
\(649\) 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
\(653\) 0.194929 + 0.727486i 0.00762817 + 0.0284687i 0.969635 0.244557i \(-0.0786424\pi\)
−0.962007 + 0.273025i \(0.911976\pi\)
\(654\) −0.809015 10.2513i −0.0316350 0.400859i
\(655\) 16.6327 + 18.5591i 0.649892 + 0.725166i
\(656\) −1.98355 1.14520i −0.0774445 0.0447126i
\(657\) 47.0876 + 4.92864i 1.83706 + 0.192284i
\(658\) −15.1835 + 8.65626i −0.591916 + 0.337456i
\(659\) 7.95212 0.309771 0.154885 0.987932i \(-0.450499\pi\)
0.154885 + 0.987932i \(0.450499\pi\)
\(660\) 0.0757963 + 3.14877i 0.00295037 + 0.122566i
\(661\) 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
\(663\) 4.72134 25.5047i 0.183362 0.990520i
\(664\) 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
\(669\) −18.6522 + 1.47199i −0.721135 + 0.0569106i
\(670\) −14.2658 4.67197i −0.551134 0.180494i
\(671\) 6.96903i 0.269037i
\(672\) 13.8395 + 20.3641i 0.533871 + 0.785563i
\(673\) 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
\(675\) −9.84606 24.0428i −0.378975 0.925407i
\(676\) 4.93958 + 8.55560i 0.189984 + 0.329062i
\(677\) −41.5349 + 11.1292i −1.59632 + 0.427731i −0.943927 0.330154i \(-0.892899\pi\)
−0.652388 + 0.757885i \(0.726233\pi\)
\(678\) 6.13971 + 17.3262i 0.235794 + 0.665408i
\(679\) −14.9647 + 14.8025i −0.574291 + 0.568067i
\(680\) −9.88528 47.0448i −0.379083 1.80409i
\(681\) 0.794649 + 1.15569i 0.0304510 + 0.0442861i
\(682\) −0.277171 0.0742679i −0.0106134 0.00284386i
\(683\) 40.7282 + 10.9131i 1.55842 + 0.417578i 0.932163 0.362039i \(-0.117919\pi\)
0.626258 + 0.779616i \(0.284586\pi\)
\(684\) 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
\(687\) −26.4248 + 9.36392i −1.00817 + 0.357256i
\(688\) 3.63158 0.973078i 0.138453 0.0370982i
\(689\) −5.56316 9.63568i −0.211940 0.367090i
\(690\) −10.3672 5.65733i −0.394673 0.215371i
\(691\) 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
\(693\) 3.61186 + 4.50633i 0.137203 + 0.171181i
\(694\) 25.7420i 0.977151i
\(695\) 0.926762 2.82985i 0.0351541 0.107342i
\(696\) 1.62556 + 20.5981i 0.0616167 + 0.780768i
\(697\) −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 \(0.268038\pi\)
−0.665923 + 0.746020i \(0.731962\pi\)
\(702\) 4.75638 + 8.74671i 0.179518 + 0.330123i
\(703\) 1.25084 4.66820i 0.0471764 0.176065i
\(704\) −2.21099 3.82954i −0.0833298 0.144331i
\(705\) 18.7911 19.7180i 0.707712 0.742624i
\(706\) 27.7161 1.04311
\(707\) 12.1417 6.92207i 0.456634 0.260331i
\(708\) −2.94801 + 1.04466i −0.110793 + 0.0392607i
\(709\) 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
\(711\) 7.20267 18.7877i 0.270121 0.704595i
\(712\) −10.5351 39.3175i −0.394819 1.47349i
\(713\) −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
\(717\) 0.0930938 0.109046i 0.00347665 0.00407241i
\(718\) 6.97990 26.0494i 0.260488 0.972153i
\(719\) 3.53101 6.11588i 0.131684 0.228084i −0.792642 0.609688i \(-0.791295\pi\)
0.924326 + 0.381604i \(0.124628\pi\)
\(720\) 2.68242 + 2.18063i 0.0999680 + 0.0812671i
\(721\) 18.5863 4.87180i 0.692189 0.181435i
\(722\) −12.2287 12.2287i −0.455106 0.455106i
\(723\) −24.7265 4.57730i −0.919590 0.170231i
\(724\) 9.25377 5.34267i 0.343914 0.198559i
\(725\) 16.4219 + 12.0484i 0.609894 + 0.447467i
\(726\) 9.65169 + 14.0368i 0.358208 + 0.520955i
\(727\) −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
\(732\) 14.1023 + 12.0393i 0.521237 + 0.444985i
\(733\) 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
\(735\) 23.2981 13.8635i 0.859365 0.511363i
\(736\) −17.4429 −0.642954
\(737\) −5.02300 + 1.34591i −0.185025 + 0.0495772i
\(738\) 11.4393 5.09901i 0.421087 0.187697i
\(739\) −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 −0.995782 0.0917535i \(-0.970753\pi\)
0.0917535 + 0.995782i \(0.470753\pi\)
\(744\) 1.75483 1.20662i 0.0643353 0.0442368i
\(745\) 2.16628 1.94141i 0.0793662 0.0711278i
\(746\) 19.7811 11.4206i 0.724237 0.418139i
\(747\) −6.28347 4.56108i −0.229900 0.166881i
\(748\) −4.22155 4.22155i −0.154355 0.154355i
\(749\) 46.8742 12.2866i 1.71275 0.448942i
\(750\) 17.9070 3.19366i 0.653872 0.116616i
\(751\) −8.99819 + 15.5853i −0.328349 + 0.568717i −0.982184 0.187920i \(-0.939825\pi\)
0.653836 + 0.756637i \(0.273159\pi\)
\(752\) −0.938019 + 3.50073i −0.0342060 + 0.127659i
\(753\) −21.6136 18.4517i −0.787644 0.672419i
\(754\) −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 −0.177609 0.984101i \(-0.556836\pi\)
0.984101 + 0.177609i \(0.0568362\pi\)
\(758\) 2.05614 + 7.67364i 0.0746825 + 0.278719i
\(759\) −4.07865 + 0.321879i −0.148046 + 0.0116835i
\(760\) −5.01602 0.274589i −0.181950 0.00996037i
\(761\) −19.5072