Properties

Label 483.2.bf.a.61.31
Level $483$
Weight $2$
Character 483.61
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 61.31
Character \(\chi\) \(=\) 483.61
Dual form 483.2.bf.a.388.31

$q$-expansion

\(f(q)\) \(=\) \(q+(2.10417 + 1.65474i) q^{2} +(0.814576 + 0.580057i) q^{3} +(1.21785 + 5.02007i) q^{4} +(1.23922 - 0.238839i) q^{5} +(0.754164 + 2.56845i) q^{6} +(0.245101 - 2.63437i) q^{7} +(-3.52028 + 7.70834i) q^{8} +(0.327068 + 0.945001i) q^{9} +O(q^{10})\) \(q+(2.10417 + 1.65474i) q^{2} +(0.814576 + 0.580057i) q^{3} +(1.21785 + 5.02007i) q^{4} +(1.23922 - 0.238839i) q^{5} +(0.754164 + 2.56845i) q^{6} +(0.245101 - 2.63437i) q^{7} +(-3.52028 + 7.70834i) q^{8} +(0.327068 + 0.945001i) q^{9} +(3.00273 + 1.54802i) q^{10} +(-1.73542 - 2.20677i) q^{11} +(-1.91989 + 4.79565i) q^{12} +(-0.367617 - 0.572023i) q^{13} +(4.87493 - 5.13759i) q^{14} +(1.14798 + 0.524263i) q^{15} +(-10.9797 + 5.66041i) q^{16} +(-4.01664 - 3.82986i) q^{17} +(-0.875521 + 2.52965i) q^{18} +(3.02905 - 2.88819i) q^{19} +(2.70817 + 5.93007i) q^{20} +(1.72774 - 2.00373i) q^{21} -7.51508i q^{22} +(-4.52876 + 1.57807i) q^{23} +(-7.33882 + 4.23707i) q^{24} +(-3.16323 + 1.26637i) q^{25} +(0.173020 - 1.81194i) q^{26} +(-0.281733 + 0.959493i) q^{27} +(13.5232 - 1.97786i) q^{28} +(5.17706 - 1.52012i) q^{29} +(1.54802 + 3.00273i) q^{30} +(0.648880 + 6.79538i) q^{31} +(-15.8276 - 3.05052i) q^{32} +(-0.133582 - 2.80422i) q^{33} +(-2.11428 - 14.7051i) q^{34} +(-0.325459 - 3.32310i) q^{35} +(-4.34564 + 2.79278i) q^{36} +(-8.22632 + 2.84716i) q^{37} +(11.1528 - 1.06497i) q^{38} +(0.0323541 - 0.679195i) q^{39} +(-2.52133 + 10.3931i) q^{40} +(4.29246 - 3.71944i) q^{41} +(6.95109 - 1.35722i) q^{42} +(2.19834 - 1.00395i) q^{43} +(8.96463 - 11.3995i) q^{44} +(0.631011 + 1.09294i) q^{45} +(-12.1406 - 4.17339i) q^{46} +(6.70803 + 3.87289i) q^{47} +(-12.2271 - 1.75800i) q^{48} +(-6.87985 - 1.29137i) q^{49} +(-8.75147 - 2.56966i) q^{50} +(-1.05032 - 5.44959i) q^{51} +(2.42389 - 2.54210i) q^{52} +(-8.55267 - 0.407414i) q^{53} +(-2.18052 + 1.55274i) q^{54} +(-2.67762 - 2.32017i) q^{55} +(19.4438 + 11.1631i) q^{56} +(4.14271 - 0.595632i) q^{57} +(13.4088 + 5.36808i) q^{58} +(-1.80703 + 3.50515i) q^{59} +(-1.23377 + 6.40139i) q^{60} +(3.96654 + 5.57023i) q^{61} +(-9.87921 + 15.3724i) q^{62} +(2.56965 - 0.629999i) q^{63} +(-12.0773 - 13.9379i) q^{64} +(-0.592179 - 0.621059i) q^{65} +(4.35917 - 6.12160i) q^{66} +(2.60787 + 6.51415i) q^{67} +(14.3345 - 24.8280i) q^{68} +(-4.60439 - 1.34148i) q^{69} +(4.81403 - 7.53091i) q^{70} +(0.464333 - 3.22951i) q^{71} +(-8.43576 - 0.805518i) q^{72} +(11.1720 - 2.71029i) q^{73} +(-22.0209 - 7.62150i) q^{74} +(-3.31125 - 0.803301i) q^{75} +(18.1879 + 11.6886i) q^{76} +(-6.23880 + 4.03087i) q^{77} +(1.19197 - 1.37560i) q^{78} +(16.7269 - 0.796801i) q^{79} +(-12.2543 + 9.63685i) q^{80} +(-0.786053 + 0.618159i) q^{81} +(15.1868 - 0.723434i) q^{82} +(-7.34996 + 8.48231i) q^{83} +(12.1630 + 6.23312i) q^{84} +(-5.89220 - 3.78669i) q^{85} +(6.28694 + 1.52519i) q^{86} +(5.09887 + 1.76474i) q^{87} +(23.1197 - 5.60878i) q^{88} +(3.21713 + 0.307198i) q^{89} +(-0.480779 + 3.34389i) q^{90} +(-1.59703 + 0.828238i) q^{91} +(-13.4374 - 20.8128i) q^{92} +(-3.41315 + 5.91174i) q^{93} +(7.70623 + 19.2492i) q^{94} +(3.06383 - 4.30255i) q^{95} +(-11.1233 - 11.6658i) q^{96} +(4.46627 + 5.15434i) q^{97} +(-12.3395 - 14.1016i) q^{98} +(1.51780 - 2.36174i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{17}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.10417 + 1.65474i 1.48787 + 1.17008i 0.943564 + 0.331190i \(0.107450\pi\)
0.544308 + 0.838886i \(0.316792\pi\)
\(3\) 0.814576 + 0.580057i 0.470296 + 0.334896i
\(4\) 1.21785 + 5.02007i 0.608927 + 2.51003i
\(5\) 1.23922 0.238839i 0.554194 0.106812i 0.0955376 0.995426i \(-0.469543\pi\)
0.458656 + 0.888614i \(0.348331\pi\)
\(6\) 0.754164 + 2.56845i 0.307886 + 1.04856i
\(7\) 0.245101 2.63437i 0.0926393 0.995700i
\(8\) −3.52028 + 7.70834i −1.24461 + 2.72531i
\(9\) 0.327068 + 0.945001i 0.109023 + 0.315000i
\(10\) 3.00273 + 1.54802i 0.949548 + 0.489526i
\(11\) −1.73542 2.20677i −0.523249 0.665365i 0.450556 0.892748i \(-0.351226\pi\)
−0.973806 + 0.227383i \(0.926983\pi\)
\(12\) −1.91989 + 4.79565i −0.554224 + 1.38438i
\(13\) −0.367617 0.572023i −0.101959 0.158651i 0.786526 0.617557i \(-0.211878\pi\)
−0.888485 + 0.458907i \(0.848241\pi\)
\(14\) 4.87493 5.13759i 1.30288 1.37308i
\(15\) 1.14798 + 0.524263i 0.296406 + 0.135364i
\(16\) −10.9797 + 5.66041i −2.74492 + 1.41510i
\(17\) −4.01664 3.82986i −0.974178 0.928877i 0.0233086 0.999728i \(-0.492580\pi\)
−0.997487 + 0.0708512i \(0.977428\pi\)
\(18\) −0.875521 + 2.52965i −0.206362 + 0.596245i
\(19\) 3.02905 2.88819i 0.694912 0.662597i −0.257896 0.966173i \(-0.583029\pi\)
0.952807 + 0.303576i \(0.0981805\pi\)
\(20\) 2.70817 + 5.93007i 0.605566 + 1.32600i
\(21\) 1.72774 2.00373i 0.377024 0.437249i
\(22\) 7.51508i 1.60222i
\(23\) −4.52876 + 1.57807i −0.944312 + 0.329050i
\(24\) −7.33882 + 4.23707i −1.49803 + 0.864888i
\(25\) −3.16323 + 1.26637i −0.632646 + 0.253273i
\(26\) 0.173020 1.81194i 0.0339319 0.355351i
\(27\) −0.281733 + 0.959493i −0.0542195 + 0.184655i
\(28\) 13.5232 1.97786i 2.55565 0.373781i
\(29\) 5.17706 1.52012i 0.961356 0.282280i 0.236849 0.971547i \(-0.423885\pi\)
0.724508 + 0.689267i \(0.242067\pi\)
\(30\) 1.54802 + 3.00273i 0.282628 + 0.548222i
\(31\) 0.648880 + 6.79538i 0.116542 + 1.22049i 0.844762 + 0.535142i \(0.179742\pi\)
−0.728220 + 0.685344i \(0.759652\pi\)
\(32\) −15.8276 3.05052i −2.79795 0.539260i
\(33\) −0.133582 2.80422i −0.0232536 0.488153i
\(34\) −2.11428 14.7051i −0.362596 2.52191i
\(35\) −0.325459 3.32310i −0.0550127 0.561706i
\(36\) −4.34564 + 2.79278i −0.724274 + 0.465463i
\(37\) −8.22632 + 2.84716i −1.35240 + 0.468070i −0.904675 0.426102i \(-0.859887\pi\)
−0.447724 + 0.894172i \(0.647765\pi\)
\(38\) 11.1528 1.06497i 1.80923 0.172760i
\(39\) 0.0323541 0.679195i 0.00518080 0.108758i
\(40\) −2.52133 + 10.3931i −0.398658 + 1.64329i
\(41\) 4.29246 3.71944i 0.670370 0.580879i −0.251746 0.967793i \(-0.581005\pi\)
0.922116 + 0.386915i \(0.126459\pi\)
\(42\) 6.95109 1.35722i 1.07258 0.209424i
\(43\) 2.19834 1.00395i 0.335243 0.153100i −0.240679 0.970605i \(-0.577370\pi\)
0.575923 + 0.817504i \(0.304643\pi\)
\(44\) 8.96463 11.3995i 1.35147 1.71853i
\(45\) 0.631011 + 1.09294i 0.0940656 + 0.162926i
\(46\) −12.1406 4.17339i −1.79003 0.615332i
\(47\) 6.70803 + 3.87289i 0.978467 + 0.564918i 0.901807 0.432139i \(-0.142241\pi\)
0.0766603 + 0.997057i \(0.475574\pi\)
\(48\) −12.2271 1.75800i −1.76484 0.253745i
\(49\) −6.87985 1.29137i −0.982836 0.184482i
\(50\) −8.75147 2.56966i −1.23764 0.363405i
\(51\) −1.05032 5.44959i −0.147075 0.763095i
\(52\) 2.42389 2.54210i 0.336133 0.352526i
\(53\) −8.55267 0.407414i −1.17480 0.0559626i −0.548915 0.835878i \(-0.684959\pi\)
−0.625885 + 0.779916i \(0.715262\pi\)
\(54\) −2.18052 + 1.55274i −0.296731 + 0.211301i
\(55\) −2.67762 2.32017i −0.361051 0.312852i
\(56\) 19.4438 + 11.1631i 2.59829 + 1.49173i
\(57\) 4.14271 0.595632i 0.548715 0.0788933i
\(58\) 13.4088 + 5.36808i 1.76066 + 0.704863i
\(59\) −1.80703 + 3.50515i −0.235255 + 0.456332i −0.976679 0.214706i \(-0.931121\pi\)
0.741423 + 0.671038i \(0.234151\pi\)
\(60\) −1.23377 + 6.40139i −0.159279 + 0.826416i
\(61\) 3.96654 + 5.57023i 0.507864 + 0.713195i 0.986306 0.164924i \(-0.0527379\pi\)
−0.478442 + 0.878119i \(0.658798\pi\)
\(62\) −9.87921 + 15.3724i −1.25466 + 1.95229i
\(63\) 2.56965 0.629999i 0.323745 0.0793724i
\(64\) −12.0773 13.9379i −1.50966 1.74224i
\(65\) −0.592179 0.621059i −0.0734507 0.0770329i
\(66\) 4.35917 6.12160i 0.536577 0.753517i
\(67\) 2.60787 + 6.51415i 0.318602 + 0.795831i 0.998068 + 0.0621235i \(0.0197873\pi\)
−0.679466 + 0.733707i \(0.737788\pi\)
\(68\) 14.3345 24.8280i 1.73831 3.01084i
\(69\) −4.60439 1.34148i −0.554304 0.161496i
\(70\) 4.81403 7.53091i 0.575386 0.900115i
\(71\) 0.464333 3.22951i 0.0551062 0.383272i −0.943540 0.331258i \(-0.892527\pi\)
0.998646 0.0520140i \(-0.0165641\pi\)
\(72\) −8.43576 0.805518i −0.994164 0.0949312i
\(73\) 11.1720 2.71029i 1.30758 0.317216i 0.479361 0.877618i \(-0.340869\pi\)
0.828221 + 0.560402i \(0.189353\pi\)
\(74\) −22.0209 7.62150i −2.55987 0.885981i
\(75\) −3.31125 0.803301i −0.382351 0.0927573i
\(76\) 18.1879 + 11.6886i 2.08629 + 1.34078i
\(77\) −6.23880 + 4.03087i −0.710978 + 0.459360i
\(78\) 1.19197 1.37560i 0.134964 0.155757i
\(79\) 16.7269 0.796801i 1.88192 0.0896471i 0.924997 0.379975i \(-0.124067\pi\)
0.956927 + 0.290328i \(0.0937644\pi\)
\(80\) −12.2543 + 9.63685i −1.37007 + 1.07743i
\(81\) −0.786053 + 0.618159i −0.0873392 + 0.0686843i
\(82\) 15.1868 0.723434i 1.67710 0.0798900i
\(83\) −7.34996 + 8.48231i −0.806763 + 0.931054i −0.998732 0.0503469i \(-0.983967\pi\)
0.191969 + 0.981401i \(0.438513\pi\)
\(84\) 12.1630 + 6.23312i 1.32709 + 0.680089i
\(85\) −5.89220 3.78669i −0.639099 0.410724i
\(86\) 6.28694 + 1.52519i 0.677938 + 0.164466i
\(87\) 5.09887 + 1.76474i 0.546656 + 0.189199i
\(88\) 23.1197 5.60878i 2.46457 0.597898i
\(89\) 3.21713 + 0.307198i 0.341015 + 0.0325630i 0.264159 0.964479i \(-0.414906\pi\)
0.0768561 + 0.997042i \(0.475512\pi\)
\(90\) −0.480779 + 3.34389i −0.0506786 + 0.352477i
\(91\) −1.59703 + 0.828238i −0.167414 + 0.0868229i
\(92\) −13.4374 20.8128i −1.40094 2.16989i
\(93\) −3.41315 + 5.91174i −0.353927 + 0.613019i
\(94\) 7.70623 + 19.2492i 0.794837 + 1.98541i
\(95\) 3.06383 4.30255i 0.314343 0.441432i
\(96\) −11.1233 11.6658i −1.13527 1.19063i
\(97\) 4.46627 + 5.15434i 0.453481 + 0.523344i 0.935743 0.352682i \(-0.114730\pi\)
−0.482263 + 0.876027i \(0.660185\pi\)
\(98\) −12.3395 14.1016i −1.24648 1.42448i
\(99\) 1.51780 2.36174i 0.152544 0.237364i
\(100\) −10.2096 14.3374i −1.02096 1.43374i
\(101\) 2.37938 12.3454i 0.236757 1.22841i −0.647738 0.761863i \(-0.724285\pi\)
0.884495 0.466549i \(-0.154503\pi\)
\(102\) 6.80758 13.2049i 0.674051 1.30748i
\(103\) −0.0519021 0.0207785i −0.00511407 0.00204736i 0.369104 0.929388i \(-0.379665\pi\)
−0.374218 + 0.927341i \(0.622089\pi\)
\(104\) 5.70347 0.820035i 0.559271 0.0804111i
\(105\) 1.66247 2.89570i 0.162241 0.282591i
\(106\) −17.3221 15.0097i −1.68247 1.45787i
\(107\) −8.72012 + 6.20957i −0.843006 + 0.600302i −0.917865 0.396892i \(-0.870089\pi\)
0.0748592 + 0.997194i \(0.476149\pi\)
\(108\) −5.15983 0.245793i −0.496505 0.0236514i
\(109\) 6.32942 6.63811i 0.606249 0.635816i −0.347049 0.937847i \(-0.612816\pi\)
0.953298 + 0.302031i \(0.0976647\pi\)
\(110\) −1.79490 9.31280i −0.171137 0.887941i
\(111\) −8.35248 2.45251i −0.792782 0.232782i
\(112\) 12.2205 + 30.3119i 1.15473 + 2.86421i
\(113\) −6.17108 0.887267i −0.580526 0.0834671i −0.154205 0.988039i \(-0.549282\pi\)
−0.426321 + 0.904572i \(0.640191\pi\)
\(114\) 9.70257 + 5.60178i 0.908729 + 0.524655i
\(115\) −5.23521 + 3.03721i −0.488186 + 0.283222i
\(116\) 13.9360 + 24.1379i 1.29393 + 2.24115i
\(117\) 0.420327 0.534489i 0.0388592 0.0494135i
\(118\) −9.60240 + 4.38527i −0.883973 + 0.403697i
\(119\) −11.0738 + 9.64263i −1.01513 + 0.883939i
\(120\) −8.08240 + 7.00344i −0.737819 + 0.639324i
\(121\) 0.735212 3.03059i 0.0668375 0.275508i
\(122\) −0.870988 + 18.2843i −0.0788555 + 1.65538i
\(123\) 5.65402 0.539894i 0.509806 0.0486806i
\(124\) −33.3230 + 11.5332i −2.99250 + 1.03571i
\(125\) −8.92587 + 5.73631i −0.798354 + 0.513071i
\(126\) 6.44946 + 2.92647i 0.574563 + 0.260711i
\(127\) 2.44803 + 17.0264i 0.217228 + 1.51085i 0.748206 + 0.663466i \(0.230915\pi\)
−0.530978 + 0.847385i \(0.678175\pi\)
\(128\) −0.815107 17.1112i −0.0720460 1.51243i
\(129\) 2.37306 + 0.457369i 0.208936 + 0.0402691i
\(130\) −0.218355 2.28671i −0.0191510 0.200558i
\(131\) −5.49349 10.6559i −0.479969 0.931010i −0.997172 0.0751473i \(-0.976057\pi\)
0.517204 0.855862i \(-0.326973\pi\)
\(132\) 13.9147 4.08572i 1.21112 0.355617i
\(133\) −6.86616 8.68755i −0.595372 0.753306i
\(134\) −5.29180 + 18.0222i −0.457142 + 1.55688i
\(135\) −0.119963 + 1.25631i −0.0103248 + 0.108126i
\(136\) 43.6616 17.4795i 3.74395 1.49885i
\(137\) −5.17646 + 2.98863i −0.442255 + 0.255336i −0.704554 0.709651i \(-0.748853\pi\)
0.262299 + 0.964987i \(0.415519\pi\)
\(138\) −7.46861 10.4418i −0.635771 0.888862i
\(139\) 4.56639i 0.387316i −0.981069 0.193658i \(-0.937965\pi\)
0.981069 0.193658i \(-0.0620353\pi\)
\(140\) 16.2858 5.68088i 1.37640 0.480122i
\(141\) 3.21771 + 7.04580i 0.270980 + 0.593364i
\(142\) 6.32102 6.02708i 0.530449 0.505782i
\(143\) −0.624352 + 1.80395i −0.0522110 + 0.150854i
\(144\) −8.94019 8.52446i −0.745016 0.710372i
\(145\) 6.05243 3.12025i 0.502627 0.259122i
\(146\) 27.9925 + 12.7838i 2.31668 + 1.05799i
\(147\) −4.85509 5.04263i −0.400441 0.415909i
\(148\) −24.3114 37.8293i −1.99838 3.10955i
\(149\) 1.71235 4.27723i 0.140281 0.350405i −0.841545 0.540186i \(-0.818354\pi\)
0.981826 + 0.189782i \(0.0607780\pi\)
\(150\) −5.63818 7.16953i −0.460356 0.585390i
\(151\) −14.4812 7.46556i −1.17846 0.607539i −0.246162 0.969229i \(-0.579170\pi\)
−0.932298 + 0.361690i \(0.882200\pi\)
\(152\) 11.6001 + 33.5162i 0.940891 + 2.71852i
\(153\) 2.30551 5.04835i 0.186389 0.408135i
\(154\) −19.7975 1.84195i −1.59533 0.148428i
\(155\) 2.42711 + 8.26596i 0.194950 + 0.663938i
\(156\) 3.44901 0.664742i 0.276142 0.0532219i
\(157\) −2.05095 8.45412i −0.163683 0.674712i −0.993219 0.116258i \(-0.962910\pi\)
0.829536 0.558454i \(-0.188605\pi\)
\(158\) 36.5147 + 26.0020i 2.90496 + 2.06861i
\(159\) −6.73048 5.29291i −0.533762 0.419755i
\(160\) −20.3424 −1.60821
\(161\) 3.04722 + 12.3172i 0.240155 + 0.970735i
\(162\) −2.67688 −0.210315
\(163\) 14.9590 + 11.7639i 1.17168 + 0.921416i 0.997989 0.0633845i \(-0.0201895\pi\)
0.173687 + 0.984801i \(0.444432\pi\)
\(164\) 23.8994 + 17.0187i 1.86623 + 1.32894i
\(165\) −0.835295 3.44313i −0.0650276 0.268047i
\(166\) −29.5015 + 5.68596i −2.28976 + 0.441316i
\(167\) −5.72748 19.5060i −0.443206 1.50942i −0.814089 0.580740i \(-0.802763\pi\)
0.370883 0.928680i \(-0.379055\pi\)
\(168\) 9.36327 + 20.3717i 0.722392 + 1.57171i
\(169\) 5.20833 11.4046i 0.400641 0.877280i
\(170\) −6.13222 17.7179i −0.470320 1.35890i
\(171\) 3.72005 + 1.91782i 0.284479 + 0.146659i
\(172\) 7.71713 + 9.81313i 0.588426 + 0.748244i
\(173\) 8.95501 22.3685i 0.680837 1.70065i −0.0321609 0.999483i \(-0.510239\pi\)
0.712998 0.701166i \(-0.247337\pi\)
\(174\) 7.80871 + 12.1506i 0.591976 + 0.921133i
\(175\) 2.56077 + 8.64351i 0.193576 + 0.653388i
\(176\) 31.5456 + 14.4064i 2.37784 + 1.08592i
\(177\) −3.50515 + 1.80703i −0.263463 + 0.135825i
\(178\) 6.26105 + 5.96989i 0.469285 + 0.447463i
\(179\) −6.44934 + 18.6342i −0.482046 + 1.39278i 0.397777 + 0.917482i \(0.369782\pi\)
−0.879824 + 0.475300i \(0.842340\pi\)
\(180\) −4.71817 + 4.49876i −0.351671 + 0.335318i
\(181\) 6.30839 + 13.8135i 0.468899 + 1.02675i 0.985368 + 0.170440i \(0.0545189\pi\)
−0.516469 + 0.856306i \(0.672754\pi\)
\(182\) −4.73093 0.899907i −0.350680 0.0667055i
\(183\) 6.83820i 0.505494i
\(184\) 3.77823 40.4645i 0.278535 2.98308i
\(185\) −9.51418 + 5.49301i −0.699496 + 0.403854i
\(186\) −16.9642 + 6.79144i −1.24388 + 0.497973i
\(187\) −1.48105 + 15.5102i −0.108305 + 1.13422i
\(188\) −11.2727 + 38.3914i −0.822148 + 2.79998i
\(189\) 2.45861 + 0.977361i 0.178838 + 0.0710926i
\(190\) 13.5664 3.98346i 0.984211 0.288990i
\(191\) −4.70168 9.11999i −0.340202 0.659899i 0.655224 0.755434i \(-0.272574\pi\)
−0.995426 + 0.0955351i \(0.969544\pi\)
\(192\) −1.75307 18.3590i −0.126517 1.32495i
\(193\) −4.37379 0.842978i −0.314832 0.0606789i 0.0293875 0.999568i \(-0.490644\pi\)
−0.344219 + 0.938889i \(0.611856\pi\)
\(194\) 0.868693 + 18.2361i 0.0623685 + 1.30928i
\(195\) −0.122125 0.849397i −0.00874554 0.0608266i
\(196\) −1.89588 36.1100i −0.135420 2.57929i
\(197\) −8.70587 + 5.59492i −0.620268 + 0.398622i −0.812695 0.582689i \(-0.802000\pi\)
0.192427 + 0.981311i \(0.438364\pi\)
\(198\) 7.10175 2.45794i 0.504700 0.174678i
\(199\) −24.9353 + 2.38104i −1.76762 + 0.168787i −0.927552 0.373694i \(-0.878091\pi\)
−0.840068 + 0.542481i \(0.817485\pi\)
\(200\) 1.37388 28.8412i 0.0971477 2.03938i
\(201\) −1.65427 + 6.81899i −0.116683 + 0.480974i
\(202\) 25.4350 22.0395i 1.78960 1.55070i
\(203\) −2.73567 14.0109i −0.192006 0.983372i
\(204\) 26.0782 11.9095i 1.82584 0.833832i
\(205\) 4.43094 5.63440i 0.309470 0.393523i
\(206\) −0.0748279 0.129606i −0.00521351 0.00903006i
\(207\) −2.97249 3.76355i −0.206602 0.261585i
\(208\) 7.27421 + 4.19976i 0.504375 + 0.291201i
\(209\) −11.6302 1.67218i −0.804481 0.115667i
\(210\) 8.28975 3.34208i 0.572047 0.230626i
\(211\) 4.55288 + 1.33685i 0.313433 + 0.0920322i 0.434666 0.900592i \(-0.356867\pi\)
−0.121233 + 0.992624i \(0.538685\pi\)
\(212\) −8.37067 43.4311i −0.574900 2.98286i
\(213\) 2.25153 2.36134i 0.154273 0.161796i
\(214\) −28.6238 1.36352i −1.95668 0.0932083i
\(215\) 2.48443 1.76916i 0.169437 0.120655i
\(216\) −6.40432 5.54938i −0.435759 0.377587i
\(217\) 18.0606 0.0438413i 1.22603 0.00297614i
\(218\) 24.3025 3.49417i 1.64597 0.236655i
\(219\) 10.6725 + 4.27264i 0.721184 + 0.288719i
\(220\) 8.38647 16.2675i 0.565416 1.09675i
\(221\) −0.714183 + 3.70553i −0.0480412 + 0.249261i
\(222\) −13.5168 18.9816i −0.907186 1.27396i
\(223\) 6.40374 9.96441i 0.428826 0.667266i −0.557854 0.829939i \(-0.688375\pi\)
0.986680 + 0.162673i \(0.0520115\pi\)
\(224\) −11.9155 + 40.9481i −0.796141 + 2.73596i
\(225\) −2.23131 2.57507i −0.148754 0.171671i
\(226\) −11.5168 12.0785i −0.766086 0.803448i
\(227\) −11.7312 + 16.4741i −0.778624 + 1.09342i 0.214542 + 0.976715i \(0.431174\pi\)
−0.993166 + 0.116710i \(0.962765\pi\)
\(228\) 8.03533 + 20.0713i 0.532152 + 1.32925i
\(229\) 4.15061 7.18906i 0.274280 0.475066i −0.695673 0.718358i \(-0.744894\pi\)
0.969953 + 0.243292i \(0.0782273\pi\)
\(230\) −16.0416 2.27208i −1.05775 0.149817i
\(231\) −7.42011 0.335413i −0.488208 0.0220685i
\(232\) −6.50710 + 45.2578i −0.427212 + 2.97132i
\(233\) 0.156183 + 0.0149137i 0.0102319 + 0.000977028i 0.100171 0.994970i \(-0.468061\pi\)
−0.0899388 + 0.995947i \(0.528667\pi\)
\(234\) 1.76888 0.429125i 0.115635 0.0280528i
\(235\) 9.23770 + 3.19720i 0.602601 + 0.208562i
\(236\) −19.7968 4.80265i −1.28866 0.312626i
\(237\) 14.0875 + 9.05350i 0.915083 + 0.588088i
\(238\) −39.2571 + 1.96557i −2.54466 + 0.127409i
\(239\) −15.7342 + 18.1583i −1.01776 + 1.17456i −0.0332136 + 0.999448i \(0.510574\pi\)
−0.984549 + 0.175112i \(0.943971\pi\)
\(240\) −15.5719 + 0.741783i −1.00516 + 0.0478819i
\(241\) −5.27393 + 4.14747i −0.339724 + 0.267162i −0.773415 0.633900i \(-0.781453\pi\)
0.433691 + 0.901061i \(0.357211\pi\)
\(242\) 6.56183 5.16028i 0.421810 0.331715i
\(243\) −0.998867 + 0.0475819i −0.0640774 + 0.00305238i
\(244\) −23.1322 + 26.6960i −1.48089 + 1.70904i
\(245\) −8.83405 + 0.0428888i −0.564387 + 0.00274006i
\(246\) 12.7904 + 8.21989i 0.815486 + 0.524081i
\(247\) −2.76565 0.670938i −0.175974 0.0426908i
\(248\) −54.6654 18.9199i −3.47125 1.20141i
\(249\) −10.9073 + 2.64609i −0.691223 + 0.167689i
\(250\) −28.2736 2.69980i −1.78818 0.170750i
\(251\) 2.34064 16.2795i 0.147740 1.02756i −0.772167 0.635419i \(-0.780827\pi\)
0.919907 0.392136i \(-0.128264\pi\)
\(252\) 6.29210 + 12.1326i 0.396365 + 0.764280i
\(253\) 11.3417 + 7.25531i 0.713049 + 0.456138i
\(254\) −23.0232 + 39.8773i −1.44460 + 2.50213i
\(255\) −2.60315 6.50236i −0.163016 0.407194i
\(256\) 5.20401 7.30801i 0.325250 0.456750i
\(257\) −0.675106 0.708031i −0.0421120 0.0441657i 0.702341 0.711841i \(-0.252138\pi\)
−0.744453 + 0.667675i \(0.767290\pi\)
\(258\) 4.23649 + 4.88917i 0.263752 + 0.304386i
\(259\) 5.48420 + 22.3691i 0.340772 + 1.38995i
\(260\) 2.39657 3.72914i 0.148629 0.231271i
\(261\) 3.12977 + 4.39514i 0.193728 + 0.272053i
\(262\) 6.07346 31.5121i 0.375219 1.94682i
\(263\) 9.55566 18.5354i 0.589227 1.14294i −0.386158 0.922433i \(-0.626198\pi\)
0.975385 0.220509i \(-0.0707717\pi\)
\(264\) 22.0862 + 8.84196i 1.35931 + 0.544185i
\(265\) −10.6959 + 1.53784i −0.657045 + 0.0944688i
\(266\) −0.0719540 29.6418i −0.00441179 1.81745i
\(267\) 2.44240 + 2.11635i 0.149473 + 0.129519i
\(268\) −29.5255 + 21.0250i −1.80355 + 1.28431i
\(269\) 0.745431 + 0.0355093i 0.0454497 + 0.00216504i 0.0702945 0.997526i \(-0.477606\pi\)
−0.0248447 + 0.999691i \(0.507909\pi\)
\(270\) −2.33128 + 2.44498i −0.141877 + 0.148797i
\(271\) −2.85519 14.8142i −0.173441 0.899896i −0.959492 0.281735i \(-0.909090\pi\)
0.786052 0.618161i \(-0.212122\pi\)
\(272\) 65.7800 + 19.3147i 3.98850 + 1.17113i
\(273\) −1.78132 0.251704i −0.107811 0.0152338i
\(274\) −15.8375 2.27710i −0.956781 0.137564i
\(275\) 8.28411 + 4.78283i 0.499550 + 0.288416i
\(276\) 1.12686 24.7481i 0.0678288 1.48966i
\(277\) −1.47633 2.55709i −0.0887043 0.153640i 0.818259 0.574849i \(-0.194939\pi\)
−0.906964 + 0.421209i \(0.861606\pi\)
\(278\) 7.55618 9.60846i 0.453189 0.576277i
\(279\) −6.20941 + 2.83574i −0.371748 + 0.169772i
\(280\) 26.7613 + 9.18949i 1.59929 + 0.549177i
\(281\) −17.9468 + 15.5510i −1.07062 + 0.927695i −0.997573 0.0696342i \(-0.977817\pi\)
−0.0730440 + 0.997329i \(0.523271\pi\)
\(282\) −4.88834 + 20.1500i −0.291096 + 1.19992i
\(283\) 0.555731 11.6662i 0.0330348 0.693485i −0.920235 0.391366i \(-0.872003\pi\)
0.953270 0.302120i \(-0.0976942\pi\)
\(284\) 16.7778 1.60209i 0.995582 0.0950665i
\(285\) 4.99145 1.72756i 0.295668 0.102332i
\(286\) −4.29880 + 2.76267i −0.254193 + 0.163360i
\(287\) −8.74631 12.2196i −0.516278 0.721299i
\(288\) −2.29395 15.9548i −0.135173 0.940146i
\(289\) 0.656688 + 13.7856i 0.0386287 + 0.810917i
\(290\) 17.8985 + 3.44966i 1.05104 + 0.202571i
\(291\) 0.648299 + 6.78929i 0.0380040 + 0.397995i
\(292\) 27.2117 + 52.7833i 1.59244 + 3.08891i
\(293\) 3.94183 1.15743i 0.230284 0.0676176i −0.164554 0.986368i \(-0.552619\pi\)
0.394839 + 0.918750i \(0.370800\pi\)
\(294\) −1.87171 18.6444i −0.109161 1.08737i
\(295\) −1.40213 + 4.77523i −0.0816354 + 0.278025i
\(296\) 7.01211 73.4341i 0.407571 4.26827i
\(297\) 2.60630 1.04341i 0.151233 0.0605446i
\(298\) 10.6808 6.16654i 0.618720 0.357218i
\(299\) 2.56754 + 2.01043i 0.148485 + 0.116266i
\(300\) 17.6010i 1.01620i
\(301\) −2.10596 6.03731i −0.121385 0.347985i
\(302\) −18.1173 39.6713i −1.04253 2.28283i
\(303\) 9.09921 8.67608i 0.522736 0.498428i
\(304\) −16.9096 + 48.8571i −0.969832 + 2.80215i
\(305\) 6.24579 + 5.95535i 0.357633 + 0.341002i
\(306\) 13.2049 6.80758i 0.754872 0.389163i
\(307\) −6.64011 3.03244i −0.378971 0.173070i 0.216816 0.976212i \(-0.430433\pi\)
−0.595788 + 0.803142i \(0.703160\pi\)
\(308\) −27.8332 26.4102i −1.58594 1.50486i
\(309\) −0.0302255 0.0470318i −0.00171947 0.00267555i
\(310\) −8.57095 + 21.4092i −0.486797 + 1.21596i
\(311\) 13.9484 + 17.7369i 0.790944 + 1.00577i 0.999614 + 0.0277810i \(0.00884410\pi\)
−0.208670 + 0.977986i \(0.566913\pi\)
\(312\) 5.12158 + 2.64036i 0.289952 + 0.149481i
\(313\) −6.51005 18.8096i −0.367970 1.06318i −0.965291 0.261177i \(-0.915889\pi\)
0.597321 0.802002i \(-0.296232\pi\)
\(314\) 9.67380 21.1827i 0.545924 1.19541i
\(315\) 3.03388 1.39444i 0.170940 0.0785677i
\(316\) 24.3709 + 82.9998i 1.37097 + 4.66910i
\(317\) 16.6161 3.20249i 0.933252 0.179870i 0.300109 0.953905i \(-0.402977\pi\)
0.633142 + 0.774035i \(0.281765\pi\)
\(318\) −5.40369 22.2743i −0.303024 1.24908i
\(319\) −12.3389 8.78652i −0.690848 0.491951i
\(320\) −18.2953 14.3876i −1.02274 0.804289i
\(321\) −10.7051 −0.597501
\(322\) −13.9699 + 30.9599i −0.778513 + 1.72533i
\(323\) −23.2280 −1.29244
\(324\) −4.06050 3.19321i −0.225583 0.177401i
\(325\) 1.88725 + 1.34390i 0.104686 + 0.0745463i
\(326\) 12.0101 + 49.5063i 0.665177 + 2.74190i
\(327\) 9.00628 1.73582i 0.498048 0.0959910i
\(328\) 13.5600 + 46.1813i 0.748728 + 2.54993i
\(329\) 11.8468 16.7222i 0.653134 0.921926i
\(330\) 3.93988 8.62712i 0.216883 0.474908i
\(331\) 10.0848 + 29.1382i 0.554312 + 1.60158i 0.778916 + 0.627128i \(0.215770\pi\)
−0.224604 + 0.974450i \(0.572109\pi\)
\(332\) −51.5329 26.5671i −2.82824 1.45806i
\(333\) −5.38113 6.84267i −0.294884 0.374976i
\(334\) 20.2257 50.5214i 1.10670 2.76441i
\(335\) 4.78755 + 7.44958i 0.261572 + 0.407014i
\(336\) −7.62810 + 31.7800i −0.416147 + 1.73374i
\(337\) 12.9216 + 5.90110i 0.703885 + 0.321454i 0.735005 0.678062i \(-0.237180\pi\)
−0.0311195 + 0.999516i \(0.509907\pi\)
\(338\) 29.8309 15.3789i 1.62259 0.836501i
\(339\) −4.51215 4.30232i −0.245066 0.233670i
\(340\) 11.8336 34.1909i 0.641766 1.85426i
\(341\) 13.8697 13.2248i 0.751089 0.716162i
\(342\) 4.65413 + 10.1911i 0.251666 + 0.551073i
\(343\) −5.08821 + 17.8076i −0.274738 + 0.961519i
\(344\) 20.4797i 1.10419i
\(345\) −6.02623 0.562678i −0.324442 0.0302936i
\(346\) 55.8569 32.2490i 3.00289 1.73372i
\(347\) −12.2537 + 4.90562i −0.657811 + 0.263348i −0.676461 0.736478i \(-0.736487\pi\)
0.0186503 + 0.999826i \(0.494063\pi\)
\(348\) −2.64941 + 27.7458i −0.142023 + 1.48733i
\(349\) 1.85215 6.30785i 0.0991434 0.337651i −0.894952 0.446163i \(-0.852790\pi\)
0.994095 + 0.108511i \(0.0346084\pi\)
\(350\) −8.91444 + 22.4248i −0.476497 + 1.19866i
\(351\) 0.652422 0.191568i 0.0348237 0.0102252i
\(352\) 20.7357 + 40.2217i 1.10522 + 2.14382i
\(353\) −1.61997 16.9651i −0.0862222 0.902960i −0.930315 0.366762i \(-0.880466\pi\)
0.844092 0.536198i \(-0.180140\pi\)
\(354\) −10.3656 1.99780i −0.550925 0.106182i
\(355\) −0.195924 4.11296i −0.0103986 0.218293i
\(356\) 2.37584 + 16.5243i 0.125919 + 0.875787i
\(357\) −14.6137 + 1.43124i −0.773439 + 0.0757495i
\(358\) −44.4051 + 28.5374i −2.34688 + 1.50825i
\(359\) 27.7229 9.59500i 1.46316 0.506405i 0.524548 0.851381i \(-0.324234\pi\)
0.938611 + 0.344976i \(0.112113\pi\)
\(360\) −10.6461 + 1.01658i −0.561100 + 0.0535785i
\(361\) −0.0705731 + 1.48151i −0.00371437 + 0.0779743i
\(362\) −9.58370 + 39.5046i −0.503708 + 2.07631i
\(363\) 2.35680 2.04218i 0.123700 0.107186i
\(364\) −6.10275 7.00851i −0.319871 0.367346i
\(365\) 13.1972 6.02694i 0.690771 0.315465i
\(366\) −11.3154 + 14.3887i −0.591466 + 0.752110i
\(367\) 15.8563 + 27.4640i 0.827693 + 1.43361i 0.899843 + 0.436213i \(0.143681\pi\)
−0.0721502 + 0.997394i \(0.522986\pi\)
\(368\) 40.7918 42.9614i 2.12642 2.23952i
\(369\) 4.91880 + 2.83987i 0.256063 + 0.147838i
\(370\) −29.1089 4.18523i −1.51330 0.217580i
\(371\) −3.16955 + 22.4311i −0.164555 + 1.16456i
\(372\) −33.8340 9.93457i −1.75421 0.515084i
\(373\) 1.15900 + 6.01345i 0.0600107 + 0.311365i 0.999514 0.0311750i \(-0.00992493\pi\)
−0.939503 + 0.342540i \(0.888713\pi\)
\(374\) −28.7817 + 30.1854i −1.48827 + 1.56085i
\(375\) −10.5982 0.504854i −0.547288 0.0260705i
\(376\) −53.4677 + 38.0742i −2.75739 + 1.96353i
\(377\) −2.77272 2.40258i −0.142802 0.123739i
\(378\) 3.55606 + 6.12488i 0.182904 + 0.315030i
\(379\) 17.1493 2.46570i 0.880902 0.126655i 0.313002 0.949752i \(-0.398665\pi\)
0.567900 + 0.823098i \(0.307756\pi\)
\(380\) 25.3304 + 10.1408i 1.29942 + 0.520210i
\(381\) −7.88219 + 15.2893i −0.403817 + 0.783296i
\(382\) 5.19805 26.9700i 0.265955 1.37991i
\(383\) 20.7279 + 29.1083i 1.05915 + 1.48736i 0.861947 + 0.506999i \(0.169245\pi\)
0.197199 + 0.980363i \(0.436815\pi\)
\(384\) 9.26151 14.4112i 0.472624 0.735418i
\(385\) −6.76849 + 6.48519i −0.344954 + 0.330516i
\(386\) −7.80828 9.01123i −0.397431 0.458660i
\(387\) 1.66774 + 1.74907i 0.0847758 + 0.0889103i
\(388\) −20.4359 + 28.6982i −1.03748 + 1.45693i
\(389\) −10.0522 25.1092i −0.509668 1.27309i −0.930614 0.366002i \(-0.880726\pi\)
0.420946 0.907086i \(-0.361698\pi\)
\(390\) 1.14856 1.98936i 0.0581594 0.100735i
\(391\) 24.2342 + 11.0060i 1.22558 + 0.556597i
\(392\) 34.1734 48.4863i 1.72602 2.44893i
\(393\) 1.70616 11.8666i 0.0860642 0.598589i
\(394\) −27.5767 2.63326i −1.38930 0.132662i
\(395\) 20.5379 4.98245i 1.03338 0.250694i
\(396\) 13.7045 + 4.74318i 0.688679 + 0.238354i
\(397\) 22.3209 + 5.41499i 1.12025 + 0.271771i 0.752786 0.658265i \(-0.228709\pi\)
0.367468 + 0.930036i \(0.380225\pi\)
\(398\) −56.4082 36.2513i −2.82749 1.81711i
\(399\) −0.553736 11.0594i −0.0277215 0.553664i
\(400\) 27.5631 31.8095i 1.37815 1.59047i
\(401\) −13.5683 + 0.646336i −0.677567 + 0.0322765i −0.383545 0.923522i \(-0.625297\pi\)
−0.294022 + 0.955799i \(0.594994\pi\)
\(402\) −14.7645 + 11.6109i −0.736386 + 0.579100i
\(403\) 3.64858 2.86927i 0.181749 0.142929i
\(404\) 64.8724 3.09025i 3.22752 0.153746i
\(405\) −0.826449 + 0.953773i −0.0410666 + 0.0473933i
\(406\) 17.4280 34.0081i 0.864939 1.68779i
\(407\) 20.5592 + 13.2126i 1.01908 + 0.654923i
\(408\) 45.7048 + 11.0879i 2.26272 + 0.548931i
\(409\) −12.2972 4.25609i −0.608056 0.210450i 0.00565123 0.999984i \(-0.498201\pi\)
−0.613707 + 0.789534i \(0.710322\pi\)
\(410\) 18.6469 4.52368i 0.920904 0.223409i
\(411\) −5.95020 0.568175i −0.293502 0.0280260i
\(412\) 0.0411001 0.285857i 0.00202486 0.0140832i
\(413\) 8.79098 + 5.61951i 0.432576 + 0.276518i
\(414\) −0.0269370 12.8378i −0.00132388 0.630945i
\(415\) −7.08228 + 12.2669i −0.347655 + 0.602157i
\(416\) 4.07352 + 10.1752i 0.199721 + 0.498879i
\(417\) 2.64877 3.71967i 0.129711 0.182153i
\(418\) −21.7050 22.7635i −1.06163 1.11340i
\(419\) −0.355476 0.410241i −0.0173662 0.0200416i 0.747000 0.664824i \(-0.231493\pi\)
−0.764366 + 0.644782i \(0.776948\pi\)
\(420\) 16.5613 + 4.81919i 0.808107 + 0.235152i
\(421\) 1.89753 2.95261i 0.0924799 0.143901i −0.791931 0.610611i \(-0.790924\pi\)
0.884411 + 0.466709i \(0.154560\pi\)
\(422\) 7.36790 + 10.3468i 0.358664 + 0.503672i
\(423\) −1.46590 + 7.60580i −0.0712743 + 0.369806i
\(424\) 33.2483 64.4927i 1.61468 3.13204i
\(425\) 17.5555 + 7.02818i 0.851569 + 0.340917i
\(426\) 8.64501 1.24296i 0.418852 0.0602218i
\(427\) 15.6463 9.08409i 0.757176 0.439610i
\(428\) −41.7923 36.2132i −2.02011 1.75043i
\(429\) −1.55497 + 1.10729i −0.0750749 + 0.0534606i
\(430\) 8.15515 + 0.388478i 0.393276 + 0.0187341i
\(431\) 4.38951 4.60359i 0.211435 0.221747i −0.609473 0.792807i \(-0.708619\pi\)
0.820909 + 0.571060i \(0.193467\pi\)
\(432\) −2.33780 12.1296i −0.112477 0.583588i
\(433\) −16.6627 4.89262i −0.800759 0.235124i −0.144348 0.989527i \(-0.546108\pi\)
−0.656412 + 0.754403i \(0.727927\pi\)
\(434\) 38.0751 + 29.7933i 1.82766 + 1.43012i
\(435\) 6.74009 + 0.969078i 0.323162 + 0.0464637i
\(436\) 41.0321 + 23.6899i 1.96508 + 1.13454i
\(437\) −9.16008 + 17.8600i −0.438186 + 0.854359i
\(438\) 15.3867 + 26.6506i 0.735207 + 1.27342i
\(439\) −1.83122 + 2.32859i −0.0873995 + 0.111138i −0.827786 0.561044i \(-0.810400\pi\)
0.740387 + 0.672181i \(0.234642\pi\)
\(440\) 27.3107 12.4724i 1.30199 0.594597i
\(441\) −1.02983 6.92383i −0.0490395 0.329706i
\(442\) −7.63444 + 6.61528i −0.363133 + 0.314657i
\(443\) −0.561971 + 2.31648i −0.0267001 + 0.110059i −0.983602 0.180351i \(-0.942277\pi\)
0.956902 + 0.290410i \(0.0937918\pi\)
\(444\) 2.13965 44.9168i 0.101543 2.13166i
\(445\) 4.06009 0.387691i 0.192467 0.0183783i
\(446\) 29.9630 10.3703i 1.41879 0.491048i
\(447\) 3.87587 2.49087i 0.183323 0.117814i
\(448\) −39.6778 + 28.3999i −1.87460 + 1.34177i
\(449\) −0.0682060 0.474383i −0.00321884 0.0223875i 0.988149 0.153499i \(-0.0490543\pi\)
−0.991368 + 0.131112i \(0.958145\pi\)
\(450\) −0.433991 9.11060i −0.0204585 0.429478i
\(451\) −15.6572 3.01767i −0.737267 0.142097i
\(452\) −3.06134 32.0598i −0.143993 1.50797i
\(453\) −7.46556 14.4812i −0.350763 0.680384i
\(454\) −51.9446 + 15.2523i −2.43788 + 0.715827i
\(455\) −1.78125 + 1.40780i −0.0835061 + 0.0659986i
\(456\) −9.99217 + 34.0302i −0.467926 + 1.59361i
\(457\) 1.04028 10.8943i 0.0486620 0.509612i −0.937978 0.346695i \(-0.887304\pi\)
0.986640 0.162917i \(-0.0520901\pi\)
\(458\) 20.6296 8.25883i 0.963957 0.385910i
\(459\) 4.80634 2.77494i 0.224341 0.129523i
\(460\) −21.6227 22.5822i −1.00817 1.05290i
\(461\) 32.4863i 1.51304i −0.653973 0.756518i \(-0.726899\pi\)
0.653973 0.756518i \(-0.273101\pi\)
\(462\) −15.0581 12.9841i −0.700568 0.604075i
\(463\) −17.2830 37.8444i −0.803208 1.75878i −0.634206 0.773164i \(-0.718673\pi\)
−0.169001 0.985616i \(-0.554054\pi\)
\(464\) −48.2379 + 45.9948i −2.23939 + 2.13525i
\(465\) −2.81767 + 8.14112i −0.130666 + 0.377535i
\(466\) 0.303958 + 0.289823i 0.0140806 + 0.0134258i
\(467\) 3.98895 2.05645i 0.184587 0.0951610i −0.363456 0.931611i \(-0.618403\pi\)
0.548043 + 0.836450i \(0.315373\pi\)
\(468\) 3.19507 + 1.45914i 0.147692 + 0.0674487i
\(469\) 17.7999 5.27349i 0.821923 0.243507i
\(470\) 14.1472 + 22.0134i 0.652560 + 1.01540i
\(471\) 3.23322 8.07618i 0.148979 0.372131i
\(472\) −20.6577 26.2684i −0.950846 1.20910i
\(473\) −6.03052 3.10895i −0.277283 0.142950i
\(474\) 14.6614 + 42.3612i 0.673419 + 1.94572i
\(475\) −5.92407 + 12.9719i −0.271815 + 0.595192i
\(476\) −61.8929 43.8477i −2.83686 2.00976i
\(477\) −2.41230 8.21553i −0.110452 0.376163i
\(478\) −63.1546 + 12.1720i −2.88862 + 0.556737i
\(479\) −4.97753 20.5176i −0.227429 0.937475i −0.965009 0.262216i \(-0.915547\pi\)
0.737580 0.675259i \(-0.235968\pi\)
\(480\) −16.5704 11.7997i −0.756332 0.538582i
\(481\) 4.65278 + 3.65899i 0.212148 + 0.166835i
\(482\) −17.9602 −0.818065
\(483\) −4.66251 + 11.8009i −0.212151 + 0.536959i
\(484\) 16.1091 0.732233
\(485\) 6.76573 + 5.32063i 0.307216 + 0.241597i
\(486\) −2.18052 1.55274i −0.0989104 0.0704338i
\(487\) 6.60876 + 27.2417i 0.299472 + 1.23444i 0.900374 + 0.435116i \(0.143293\pi\)
−0.600903 + 0.799322i \(0.705192\pi\)
\(488\) −56.9006 + 10.9667i −2.57577 + 0.496439i
\(489\) 5.36150 + 18.2596i 0.242456 + 0.825728i
\(490\) −18.6593 14.5278i −0.842941 0.656298i
\(491\) −2.32003 + 5.08015i −0.104701 + 0.229264i −0.954731 0.297471i \(-0.903857\pi\)
0.850029 + 0.526735i \(0.176584\pi\)
\(492\) 9.59608 + 27.7261i 0.432625 + 1.24999i
\(493\) −26.6163 13.7216i −1.19874 0.617991i
\(494\) −4.70916 5.98818i −0.211875 0.269421i
\(495\) 1.31680 3.28921i 0.0591858 0.147839i
\(496\) −45.5892 70.9381i −2.04701 3.18522i
\(497\) −8.39393 2.01478i −0.376519 0.0903754i
\(498\) −27.3294 12.4809i −1.22466 0.559284i
\(499\) 37.1485 19.1514i 1.66299 0.857333i 0.669581 0.742739i \(-0.266474\pi\)
0.993412 0.114594i \(-0.0365567\pi\)
\(500\) −39.6670 37.8225i −1.77396 1.69147i
\(501\) 6.64913 19.2114i 0.297061 0.858301i
\(502\) 31.8634 30.3817i 1.42214 1.35600i
\(503\) 2.42009 + 5.29925i 0.107906 + 0.236282i 0.955881 0.293755i \(-0.0949051\pi\)
−0.847974 + 0.530037i \(0.822178\pi\)
\(504\) −4.18965 + 22.0255i −0.186622 + 0.981095i
\(505\) 15.8669i 0.706067i
\(506\) 11.8593 + 34.0340i 0.527210 + 1.51300i
\(507\) 10.8579 6.26882i 0.482217 0.278408i
\(508\) −82.4925 + 33.0250i −3.66001 + 1.46525i
\(509\) 2.85619 29.9114i 0.126598 1.32580i −0.679351 0.733814i \(-0.737738\pi\)
0.805949 0.591985i \(-0.201656\pi\)
\(510\) 5.28222 17.9896i 0.233901 0.796593i
\(511\) −4.40167 30.0955i −0.194718 1.33134i
\(512\) −9.83047 + 2.88649i −0.434449 + 0.127566i
\(513\) 1.91782 + 3.72005i 0.0846738 + 0.164244i
\(514\) −0.248932 2.60694i −0.0109799 0.114987i
\(515\) −0.0692807 0.0133528i −0.00305287 0.000588393i
\(516\) 0.594015 + 12.4699i 0.0261501 + 0.548958i
\(517\) −3.09471 21.5242i −0.136105 0.946631i
\(518\) −25.4752 + 56.1432i −1.11932 + 2.46679i
\(519\) 20.2696 13.0265i 0.889735 0.571798i
\(520\) 6.87197 2.37841i 0.301356 0.104300i
\(521\) 6.97982 0.666492i 0.305791 0.0291995i 0.0589675 0.998260i \(-0.481219\pi\)
0.246824 + 0.969060i \(0.420613\pi\)
\(522\) −0.687246 + 14.4271i −0.0300799 + 0.631456i
\(523\) −2.67667 + 11.0334i −0.117043 + 0.482456i 0.882875 + 0.469608i \(0.155605\pi\)
−0.999917 + 0.0128477i \(0.995910\pi\)
\(524\) 46.8030 40.5550i 2.04460 1.77165i
\(525\) −2.92779 + 8.52619i −0.127779 + 0.372113i
\(526\) 50.7779 23.1895i 2.21402 1.01111i
\(527\) 23.4190 29.7797i 1.02015 1.29722i
\(528\) 17.3397 + 30.0333i 0.754616 + 1.30703i
\(529\) 18.0194 14.2934i 0.783452 0.621452i
\(530\) −25.0507 14.4630i −1.08813 0.628234i
\(531\) −3.90339 0.561223i −0.169393 0.0243550i
\(532\) 35.2501 45.0487i 1.52828 1.95311i
\(533\) −3.70559 1.08806i −0.160507 0.0471291i
\(534\) 1.63722 + 8.49470i 0.0708494 + 0.367601i
\(535\) −9.32302 + 9.77770i −0.403069 + 0.422727i
\(536\) −59.3938 2.82928i −2.56542 0.122206i
\(537\) −16.0623 + 11.4379i −0.693141 + 0.493584i
\(538\) 1.50975 + 1.30821i 0.0650901 + 0.0564009i
\(539\) 9.08968 + 17.4233i 0.391520 + 0.750475i
\(540\) −6.45284 + 0.927779i −0.277686 + 0.0399252i
\(541\) 25.2104 + 10.0927i 1.08388 + 0.433920i 0.843704 0.536809i \(-0.180370\pi\)
0.240177 + 0.970729i \(0.422795\pi\)
\(542\) 18.5057 35.8961i 0.794888 1.54187i
\(543\) −2.87392 + 14.9113i −0.123332 + 0.639907i
\(544\) 51.8906 + 72.8702i 2.22479 + 3.12428i
\(545\) 6.25808 9.73777i 0.268067 0.417120i
\(546\) −3.33170 3.47725i −0.142584 0.148813i
\(547\) 24.0094 + 27.7083i 1.02657 + 1.18472i 0.982609 + 0.185688i \(0.0594515\pi\)
0.0439586 + 0.999033i \(0.486003\pi\)
\(548\) −21.3073 22.3465i −0.910203 0.954594i
\(549\) −3.96654 + 5.57023i −0.169288 + 0.237732i
\(550\) 9.51683 + 23.7719i 0.405799 + 1.01364i
\(551\) 11.2912 19.5569i 0.481020 0.833151i
\(552\) 26.5494 30.7698i 1.13002 1.30965i
\(553\) 2.00070 44.2602i 0.0850786 1.88214i
\(554\) 1.12485 7.82348i 0.0477902 0.332388i
\(555\) −10.9363 1.04429i −0.464219 0.0443276i
\(556\) 22.9236 5.56120i 0.972177 0.235848i
\(557\) −19.8204 6.85992i −0.839819 0.290664i −0.126904 0.991915i \(-0.540504\pi\)
−0.712915 + 0.701251i \(0.752625\pi\)
\(558\) −17.7581 4.30806i −0.751759 0.182375i
\(559\) −1.38243 0.888432i −0.0584704 0.0375767i
\(560\) 22.3835 + 34.6443i 0.945877 + 1.46399i
\(561\) −10.2032 + 11.7752i −0.430781 + 0.497147i
\(562\) −63.4959 + 3.02468i −2.67841 + 0.127589i
\(563\) 28.2047 22.1804i 1.18868 0.934792i 0.189792 0.981824i \(-0.439219\pi\)
0.998893 + 0.0470323i \(0.0149764\pi\)
\(564\) −31.4517 + 24.7339i −1.32435 + 1.04148i
\(565\) −7.85921 + 0.374381i −0.330640 + 0.0157503i
\(566\) 20.4739 23.6281i 0.860581 0.993164i
\(567\) 1.43580 + 2.22227i 0.0602979 + 0.0933265i
\(568\) 23.2596 + 14.9480i 0.975951 + 0.627205i
\(569\) −5.84310 1.41752i −0.244956 0.0594256i 0.111401 0.993776i \(-0.464466\pi\)
−0.356357 + 0.934350i \(0.615981\pi\)
\(570\) 13.3615 + 4.62446i 0.559652 + 0.193697i
\(571\) −21.0486 + 5.10634i −0.880858 + 0.213694i −0.650586 0.759433i \(-0.725477\pi\)
−0.230272 + 0.973126i \(0.573962\pi\)
\(572\) −9.81630 0.937343i −0.410440 0.0391923i
\(573\) 1.46024 10.1562i 0.0610023 0.424280i
\(574\) 1.81649 40.1849i 0.0758187 1.67729i
\(575\) 12.3271 10.7269i 0.514076 0.447341i
\(576\) 9.22125 15.9717i 0.384219 0.665487i
\(577\) −7.76529 19.3968i −0.323273 0.807498i −0.997611 0.0690751i \(-0.977995\pi\)
0.674338 0.738423i \(-0.264429\pi\)
\(578\) −21.4297 + 30.0938i −0.891359 + 1.25174i
\(579\) −3.07381 3.22371i −0.127743 0.133973i
\(580\) 23.0348 + 26.5836i 0.956469 + 1.10382i
\(581\) 20.5441 + 21.4416i 0.852312 + 0.889546i
\(582\) −9.87036 + 15.3586i −0.409140 + 0.636634i
\(583\) 13.9434 + 19.5808i 0.577477 + 0.810954i
\(584\) −18.4367 + 95.6584i −0.762914 + 3.95837i
\(585\) 0.393219 0.762738i 0.0162576 0.0315353i
\(586\) 10.2095 + 4.08727i 0.421751 + 0.168844i
\(587\) 16.7173 2.40359i 0.689998 0.0992068i 0.211609 0.977354i \(-0.432130\pi\)
0.478390 + 0.878148i \(0.341221\pi\)
\(588\) 19.4015 30.5141i 0.800105 1.25838i
\(589\) 21.5919 + 18.7095i 0.889677 + 0.770910i
\(590\) −10.8521 + 7.72773i −0.446773 + 0.318145i
\(591\) −10.3370 0.492410i −0.425206 0.0202551i
\(592\) 74.2062 77.8253i 3.04986 3.19860i
\(593\) 7.22899 + 37.5075i 0.296859 + 1.54025i 0.757602 + 0.652717i \(0.226371\pi\)
−0.460743 + 0.887533i \(0.652417\pi\)
\(594\) 7.21066 + 2.11724i 0.295857 + 0.0868715i
\(595\) −11.4197 + 14.5941i −0.468164 + 0.598302i
\(596\) 23.5574 + 3.38704i 0.964948 + 0.138739i
\(597\) −21.6929 12.5244i −0.887830 0.512589i
\(598\) 2.07581 + 8.47890i 0.0848860 + 0.346728i
\(599\) 11.0251 + 19.0960i 0.450474 + 0.780243i 0.998415 0.0562734i \(-0.0179218\pi\)
−0.547942 + 0.836516i \(0.684589\pi\)
\(600\) 17.8487 22.6964i 0.728669 0.926578i
\(601\) −21.2913 + 9.72342i −0.868491 + 0.396627i −0.799268 0.600975i \(-0.794779\pi\)
−0.0692231 + 0.997601i \(0.522052\pi\)
\(602\) 5.55886 16.1883i 0.226562 0.659787i
\(603\) −5.30293 + 4.59501i −0.215952 + 0.187123i
\(604\) 19.8416 81.7884i 0.807345 3.32792i
\(605\) 0.187264 3.93115i 0.00761335 0.159824i
\(606\) 33.5029 3.19914i 1.36096 0.129956i
\(607\) −0.812802 + 0.281314i −0.0329906 + 0.0114182i −0.343513 0.939148i \(-0.611617\pi\)
0.310523 + 0.950566i \(0.399496\pi\)
\(608\) −56.7530 + 36.4730i −2.30164 + 1.47917i
\(609\) 5.89871 12.9998i 0.239028 0.526778i
\(610\) 3.28766 + 22.8662i 0.133114 + 0.925825i
\(611\) −0.250607 5.26089i −0.0101385 0.212833i
\(612\) 28.1508 + 5.42563i 1.13793 + 0.219318i
\(613\) 0.505330 + 5.29206i 0.0204101 + 0.213744i 0.999924 + 0.0123654i \(0.00393614\pi\)
−0.979513 + 0.201379i \(0.935458\pi\)
\(614\) −8.95403 17.3684i −0.361355 0.700931i
\(615\) 6.87761 2.01945i 0.277332 0.0814320i
\(616\) −9.10897 62.2806i −0.367011 2.50936i
\(617\) −10.2759 + 34.9965i −0.413692 + 1.40891i 0.444592 + 0.895733i \(0.353349\pi\)
−0.858285 + 0.513174i \(0.828470\pi\)
\(618\) 0.0142257 0.148978i 0.000572241 0.00599278i
\(619\) −12.2859 + 4.91855i −0.493814 + 0.197693i −0.605184 0.796086i \(-0.706900\pi\)
0.111370 + 0.993779i \(0.464476\pi\)
\(620\) −38.5398 + 22.2510i −1.54780 + 0.893621i
\(621\) −0.238246 4.78991i −0.00956047 0.192212i
\(622\) 60.4024i 2.42192i
\(623\) 1.59780 8.39982i 0.0640143 0.336532i
\(624\) 3.48929 + 7.64048i 0.139683 + 0.305864i
\(625\) 2.63888 2.51616i 0.105555 0.100647i
\(626\) 17.4266 50.3509i 0.696508 2.01243i
\(627\) −8.50376 8.10832i −0.339608 0.323815i
\(628\) 39.9425 20.5918i 1.59388 0.821701i
\(629\) 43.9464 + 20.0696i 1.75226 + 0.800229i
\(630\) 8.69123 + 2.08614i 0.346267 + 0.0831139i
\(631\) 12.3011 + 19.1408i 0.489698 + 0.761985i 0.994884 0.101026i \(-0.0322125\pi\)
−0.505186 + 0.863010i \(0.668576\pi\)
\(632\) −52.7414 + 131.742i −2.09794 + 5.24040i
\(633\) 2.93322 + 3.72989i 0.116585 + 0.148250i
\(634\) 40.2623 + 20.7567i 1.59902 + 0.824352i
\(635\) 7.10022 + 20.5147i 0.281764 + 0.814103i
\(636\) 18.3740 40.2334i 0.728576 1.59536i
\(637\) 1.79046 + 4.41017i 0.0709404 + 0.174737i
\(638\) −11.4238 38.9060i −0.452274 1.54030i
\(639\) 3.20376 0.617474i 0.126739 0.0244269i
\(640\) −5.09692 21.0098i −0.201474 0.830485i
\(641\) 25.1200 + 17.8878i 0.992178 + 0.706527i 0.956166 0.292824i \(-0.0945951\pi\)
0.0360122 + 0.999351i \(0.488534\pi\)
\(642\) −22.5253 17.7141i −0.889005 0.699121i
\(643\) 26.7710 1.05575 0.527873 0.849324i \(-0.322990\pi\)
0.527873 + 0.849324i \(0.322990\pi\)
\(644\) −58.1223 + 30.2979i −2.29034 + 1.19390i
\(645\) 3.04997 0.120092
\(646\) −48.8756 38.4362i −1.92298 1.51225i
\(647\) −5.27106 3.75350i −0.207227 0.147566i 0.471732 0.881742i \(-0.343629\pi\)
−0.678959 + 0.734177i \(0.737568\pi\)
\(648\) −1.99785 8.23526i −0.0784831 0.323512i
\(649\) 10.8710 2.09522i 0.426725 0.0822445i
\(650\) 1.74728 + 5.95070i 0.0685340 + 0.233406i
\(651\) 14.7372 + 10.4405i 0.577595 + 0.409194i
\(652\) −40.8375 + 89.4216i −1.59932 + 3.50202i
\(653\) 3.98642 + 11.5180i 0.156001 + 0.450735i 0.995735 0.0922635i \(-0.0294102\pi\)
−0.839734 + 0.542998i \(0.817289\pi\)
\(654\) 21.8230 + 11.2506i 0.853349 + 0.439932i
\(655\) −9.35267 11.8929i −0.365439 0.464694i
\(656\) −26.0763 + 65.1353i −1.01811 + 2.54311i
\(657\) 6.21522 + 9.67108i 0.242479 + 0.377305i
\(658\) 52.5985 15.5831i 2.05050 0.607492i
\(659\) −2.94975 1.34710i −0.114906 0.0524758i 0.357133 0.934054i \(-0.383754\pi\)
−0.472039 + 0.881578i \(0.656482\pi\)
\(660\) 16.2675 8.38647i 0.633211 0.326443i
\(661\) −22.4876 21.4419i −0.874668 0.833994i 0.112505 0.993651i \(-0.464113\pi\)
−0.987172 + 0.159657i \(0.948961\pi\)
\(662\) −26.9958 + 77.9993i −1.04922 + 3.03153i
\(663\) −2.73118 + 2.60417i −0.106070 + 0.101138i
\(664\) −39.5106 86.5161i −1.53331 3.35748i
\(665\) −10.5836 9.12584i −0.410414 0.353885i
\(666\) 23.3025i 0.902953i
\(667\) −21.0468 + 15.0540i −0.814937 + 0.582895i
\(668\) 90.9462 52.5078i 3.51881 2.03159i
\(669\) 10.9963 4.40224i 0.425140 0.170200i
\(670\) −2.25327 + 23.5973i −0.0870514 + 0.911644i
\(671\) 5.40858 18.4199i 0.208796 0.711094i
\(672\) −33.4583 + 26.4436i −1.29068 + 1.02009i
\(673\) −10.3566 + 3.04097i −0.399217 + 0.117221i −0.475177 0.879890i \(-0.657616\pi\)
0.0759600 + 0.997111i \(0.475798\pi\)
\(674\) 17.4245 + 33.7988i 0.671166 + 1.30188i
\(675\) −0.323884 3.39187i −0.0124663 0.130553i
\(676\) 63.5951 + 12.2569i 2.44596 + 0.471421i
\(677\) 0.685683 + 14.3943i 0.0263529 + 0.553216i 0.972981 + 0.230887i \(0.0741628\pi\)
−0.946628 + 0.322329i \(0.895534\pi\)
\(678\) −2.37511 16.5192i −0.0912154 0.634417i
\(679\) 14.6732 10.5025i 0.563104 0.403048i
\(680\) 49.9313 32.0889i 1.91478 1.23055i
\(681\) −19.1118 + 6.61467i −0.732367 + 0.253475i
\(682\) 51.0678 4.87638i 1.95549 0.186726i
\(683\) 0.715267 15.0153i 0.0273689 0.574545i −0.942982 0.332844i \(-0.891992\pi\)
0.970351 0.241701i \(-0.0777052\pi\)
\(684\) −5.09710 + 21.0105i −0.194892 + 0.803357i
\(685\) −5.70095 + 4.93990i −0.217822 + 0.188744i
\(686\) −40.1733 + 29.0505i −1.53382 + 1.10915i
\(687\) 7.55105 3.44845i 0.288090 0.131566i
\(688\) −18.4543 + 23.4665i −0.703562 + 0.894652i
\(689\) 2.91106 + 5.04210i 0.110903 + 0.192089i
\(690\) −11.7491 11.1558i −0.447282 0.424694i
\(691\) −38.1500 22.0259i −1.45129 0.837904i −0.452738 0.891644i \(-0.649553\pi\)
−0.998555 + 0.0537392i \(0.982886\pi\)
\(692\) 123.197 + 17.7131i 4.68326 + 0.673352i
\(693\) −5.84969 4.57731i −0.222211 0.173877i
\(694\) −33.9013 9.95431i −1.28687 0.377861i
\(695\) −1.09063 5.65875i −0.0413701 0.214648i
\(696\) −31.5526 + 33.0915i −1.19600 + 1.25433i
\(697\) −31.4862 1.49987i −1.19263 0.0568117i
\(698\) 14.3351 10.2080i 0.542590 0.386377i
\(699\) 0.118572 + 0.102743i 0.00448482 + 0.00388611i
\(700\) −40.2724 + 23.3818i −1.52215 + 0.883748i
\(701\) 29.3013 4.21289i 1.10669 0.159118i 0.435347 0.900263i \(-0.356626\pi\)
0.671346 + 0.741144i \(0.265716\pi\)
\(702\) 1.68980 + 0.676495i 0.0637775 + 0.0255326i
\(703\) −16.6948 + 32.3834i −0.629656 + 1.22136i
\(704\) −9.79859 + 50.8399i −0.369298 + 1.91610i
\(705\) 5.67025 + 7.96275i 0.213554 + 0.299895i
\(706\) 24.6641 38.3780i 0.928244 1.44438i
\(707\) −31.9392 9.29403i −1.20120 0.349538i
\(708\) −13.3402 15.3954i −0.501355 0.578594i
\(709\) −3.78155 3.96598i −0.142019 0.148945i 0.648883 0.760889i \(-0.275237\pi\)
−0.790902 + 0.611943i \(0.790388\pi\)
\(710\) 6.39361 8.97857i 0.239948 0.336960i
\(711\) 6.22381 + 15.5463i 0.233411 + 0.583033i
\(712\) −13.6932 + 23.7173i −0.513174 + 0.888843i
\(713\) −13.6622 29.7507i −0.511654 1.11417i
\(714\) −33.1180 21.1702i −1.23941 0.792276i
\(715\) −0.342854 + 2.38460i −0.0128220 + 0.0891790i
\(716\) −101.399 9.68243i −3.78946 0.361850i
\(717\) −23.3495 + 5.66454i −0.872005 + 0.211546i
\(718\) 74.2109 + 25.6846i 2.76953 + 0.958542i
\(719\) 13.6841 + 3.31972i 0.510330 + 0.123805i 0.482652 0.875812i \(-0.339674\pi\)
0.0276781 + 0.999617i \(0.491189\pi\)
\(720\) −13.1148 8.42837i −0.488760 0.314107i
\(721\) −0.0674595 + 0.131637i −0.00251232 + 0.00490241i
\(722\) −2.60001 + 3.00057i −0.0967623 + 0.111670i
\(723\) −6.70179 + 0.319245i −0.249242 + 0.0118729i
\(724\) −61.6617 + 48.4913i −2.29164 + 1.80217i
\(725\) −14.4512 + 11.3645i −0.536704 + 0.422069i
\(726\) 8.33837 0.397205i 0.309466 0.0147417i
\(727\) −25.3486 + 29.2538i −0.940126 + 1.08496i 0.0561222 + 0.998424i \(0.482126\pi\)
−0.996248 + 0.0865396i \(0.972419\pi\)
\(728\) −0.762356 15.2261i −0.0282548 0.564316i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) 37.7421 + 9.15613i 1.39690 + 0.338883i
\(731\) −12.6749 4.38683i −0.468798 0.162253i
\(732\) −34.3282 + 8.32793i −1.26881 + 0.307809i
\(733\) −11.9306 1.13923i −0.440666 0.0420785i −0.127635 0.991821i \(-0.540738\pi\)
−0.313031 + 0.949743i \(0.601345\pi\)
\(734\) −12.0812 + 84.0268i −0.445926 + 3.10149i
\(735\) −7.22088 5.08932i −0.266346 0.187722i
\(736\) 76.4933 11.1619i 2.81958 0.411435i
\(737\) 9.84946 17.0598i 0.362810 0.628405i
\(738\) 5.65075 + 14.1149i 0.208007 + 0.519576i
\(739\) −17.3152 + 24.3158i −0.636950 + 0.894471i −0.999294 0.0375736i \(-0.988037\pi\)
0.362344 + 0.932044i \(0.381977\pi\)
\(740\) −39.1622 41.0721i −1.43963 1.50984i
\(741\) −1.86365 2.15076i −0.0684627 0.0790102i
\(742\) −43.7868 + 41.9540i −1.60746 + 1.54018i
\(743\) −18.2475 + 28.3936i −0.669434 + 1.04166i 0.325922 + 0.945397i \(0.394325\pi\)
−0.995356 + 0.0962631i \(0.969311\pi\)
\(744\) −33.5545 47.1207i −1.23017 1.72753i
\(745\) 1.10039 5.70939i 0.0403153 0.209176i
\(746\) −7.51195 + 14.5712i −0.275032 + 0.533488i
\(747\) −10.4197 4.17143i −0.381238 0.152625i
\(748\) −79.6660 + 11.4542i −2.91288 + 0.418808i
\(749\) 14.2210 + 24.4940i 0.519625 + 0.894992i
\(750\) −21.4650 18.5995i −0.783790 0.679157i
\(751\) 27.3934 19.5068i 0.999600 0.711812i 0.0417638 0.999128i \(-0.486702\pi\)
0.957836 + 0.287316i \(0.0927629\pi\)
\(752\) −95.5742 4.55276i −3.48523 0.166022i
\(753\) 11.3497 11.9032i 0.413606 0.433777i
\(754\) −1.85864 9.64355i −0.0676878 0.351198i
\(755\) −19.7284 5.79277i −0.717988 0.210820i
\(756\) −1.91219 + 13.5327i −0.0695456 + 0.492178i
\(757\) −6.56496 0.943899i −0.238608 0.0343066i 0.0219735 0.999759i \(-0.493005\pi\)
−0.260581 + 0.965452i \(0.583914\pi\)
\(758\) 40.1652 + 23.1894i 1.45886 + 0.842276i
\(759\) 5.03022 + 12.4889i 0.182585 + 0.453317i
\(760\) 22.3800 + 38.7633i 0.811807 + 1.40609i
\(761\) −17.3620 + 22.0776i −0.629372 + 0.800312i −0.991262 0.131909i \(-0.957889\pi\)
0.361890 + 0.932221i \(0.382132\pi\)
\(762\) −41.8853 + 19.1284i −1.51734 + 0.692947i
\(763\) −15.9359 18.3011i −0.576919 0.662543i
\(764\) 40.0570 34.7096i 1.44921 1.25575i
\(765\) 1.65127 6.80664i 0.0597019 0.246095i
\(766\) −4.55151 + 95.5479i −0.164453 + 3.45228i
\(767\) 2.66933 0.254890i 0.0963838 0.00920353i
\(768\) 8.47812 2.93431i 0.305928 0.105883i
\(769\) 35.9432 23.0993i 1.29614 0.832981i 0.303357 0.952877i \(-0.401892\pi\)
0.992786 + 0.119896i \(0.0382560\pi\)
\(770\) −24.9733 + 2.44585i −0.899976 + 0.0881424i
\(771\) −0.139227 0.968345i −0.00501414 0.0348741i
\(772\) −1.09483 22.9833i −0.0394038 0.827188i
\(773\) −1.66388 0.320686i −0.0598455