Properties

Label 483.2.bf.a.388.31
Level $483$
Weight $2$
Character 483.388
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 388.31
Character \(\chi\) \(=\) 483.388
Dual form 483.2.bf.a.61.31

$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

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

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 0.544308 0.838886i \(-0.316792\pi\)
0.943564 0.331190i \(-0.107450\pi\)
\(3\) 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 0.458656 0.888614i \(-0.348331\pi\)
0.0955376 + 0.995426i \(0.469543\pi\)
\(6\) 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 −0.973806 0.227383i \(-0.926983\pi\)
0.450556 + 0.892748i \(0.351226\pi\)
\(12\) −1.91989 4.79565i −0.554224 1.38438i
\(13\) −0.367617 + 0.572023i −0.101959 + 0.158651i −0.888485 0.458907i \(-0.848241\pi\)
0.786526 + 0.617557i \(0.211878\pi\)
\(14\) 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 −0.997487 0.0708512i \(-0.977428\pi\)
0.0233086 + 0.999728i \(0.492580\pi\)
\(18\) −0.875521 2.52965i −0.206362 0.596245i
\(19\) 3.02905 + 2.88819i 0.694912 + 0.662597i 0.952807 0.303576i \(-0.0981805\pi\)
−0.257896 + 0.966173i \(0.583029\pi\)
\(20\) 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 0.724508 0.689267i \(-0.242067\pi\)
0.236849 + 0.971547i \(0.423885\pi\)
\(30\) 1.54802 3.00273i 0.282628 0.548222i
\(31\) 0.648880 6.79538i 0.116542 1.22049i −0.728220 0.685344i \(-0.759652\pi\)
0.844762 0.535142i \(-0.179742\pi\)
\(32\) −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 −0.447724 0.894172i \(-0.647765\pi\)
−0.904675 + 0.426102i \(0.859887\pi\)
\(38\) 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 0.922116 0.386915i \(-0.126459\pi\)
−0.251746 + 0.967793i \(0.581005\pi\)
\(42\) 6.95109 + 1.35722i 1.07258 + 0.209424i
\(43\) 2.19834 + 1.00395i 0.335243 + 0.153100i 0.575923 0.817504i \(-0.304643\pi\)
−0.240679 + 0.970605i \(0.577370\pi\)
\(44\) 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 0.0766603 0.997057i \(-0.475574\pi\)
0.901807 + 0.432139i \(0.142241\pi\)
\(48\) −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 −0.625885 0.779916i \(-0.715262\pi\)
−0.548915 + 0.835878i \(0.684959\pi\)
\(54\) −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 0.741423 0.671038i \(-0.234151\pi\)
−0.976679 + 0.214706i \(0.931121\pi\)
\(60\) −1.23377 6.40139i −0.159279 0.826416i
\(61\) 3.96654 5.57023i 0.507864 0.713195i −0.478442 0.878119i \(-0.658798\pi\)
0.986306 + 0.164924i \(0.0527379\pi\)
\(62\) −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 −0.679466 0.733707i \(-0.737788\pi\)
0.998068 0.0621235i \(-0.0197873\pi\)
\(68\) 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 0.998646 + 0.0520140i \(0.0165641\pi\)
−0.943540 + 0.331258i \(0.892527\pi\)
\(72\) −8.43576 + 0.805518i −0.994164 + 0.0949312i
\(73\) 11.1720 + 2.71029i 1.30758 + 0.317216i 0.828221 0.560402i \(-0.189353\pi\)
0.479361 + 0.877618i \(0.340869\pi\)
\(74\) −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 0.956927 0.290328i \(-0.0937644\pi\)
0.924997 + 0.379975i \(0.124067\pi\)
\(80\) −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 0.191969 0.981401i \(-0.438513\pi\)
−0.998732 + 0.0503469i \(0.983967\pi\)
\(84\) 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 0.0768561 0.997042i \(-0.475512\pi\)
0.264159 + 0.964479i \(0.414906\pi\)
\(90\) −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 −0.482263 0.876027i \(-0.660185\pi\)
0.935743 + 0.352682i \(0.114730\pi\)
\(98\) −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 0.884495 + 0.466549i \(0.154503\pi\)
−0.647738 + 0.761863i \(0.724285\pi\)
\(102\) 6.80758 + 13.2049i 0.674051 + 1.30748i
\(103\) −0.0519021 + 0.0207785i −0.00511407 + 0.00204736i −0.374218 0.927341i \(-0.622089\pi\)
0.369104 + 0.929388i \(0.379665\pi\)
\(104\) 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 0.0748592 0.997194i \(-0.476149\pi\)
−0.917865 + 0.396892i \(0.870089\pi\)
\(108\) −5.15983 + 0.245793i −0.496505 + 0.0236514i
\(109\) 6.32942 + 6.63811i 0.606249 + 0.635816i 0.953298 0.302031i \(-0.0976647\pi\)
−0.347049 + 0.937847i \(0.612816\pi\)
\(110\) −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 −0.426321 0.904572i \(-0.640191\pi\)
−0.154205 + 0.988039i \(0.549282\pi\)
\(114\) 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 −0.530978 0.847385i \(-0.678175\pi\)
0.748206 0.663466i \(-0.230915\pi\)
\(128\) −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 0.517204 + 0.855862i \(0.326973\pi\)
−0.997172 + 0.0751473i \(0.976057\pi\)
\(132\) 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 0.262299 0.964987i \(-0.415519\pi\)
−0.704554 + 0.709651i \(0.748853\pi\)
\(138\) −7.46861 + 10.4418i −0.635771 + 0.888862i
\(139\) 4.56639i 0.387316i 0.981069 + 0.193658i \(0.0620353\pi\)
−0.981069 + 0.193658i \(0.937965\pi\)
\(140\) 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 0.981826 0.189782i \(-0.0607780\pi\)
−0.841545 + 0.540186i \(0.818354\pi\)
\(150\) −5.63818 + 7.16953i −0.460356 + 0.585390i
\(151\) −14.4812 + 7.46556i −1.17846 + 0.607539i −0.932298 0.361690i \(-0.882200\pi\)
−0.246162 + 0.969229i \(0.579170\pi\)
\(152\) 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 0.829536 + 0.558454i \(0.188605\pi\)
−0.993219 + 0.116258i \(0.962910\pi\)
\(158\) 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 0.173687 0.984801i \(-0.444432\pi\)
0.997989 + 0.0633845i \(0.0201895\pi\)
\(164\) 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 0.370883 + 0.928680i \(0.379055\pi\)
−0.814089 + 0.580740i \(0.802763\pi\)
\(168\) 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 0.712998 + 0.701166i \(0.247337\pi\)
−0.0321609 + 0.999483i \(0.510239\pi\)
\(174\) 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 −0.879824 0.475300i \(-0.842340\pi\)
0.397777 0.917482i \(-0.369782\pi\)
\(180\) −4.71817 4.49876i −0.351671 0.335318i
\(181\) 6.30839 13.8135i 0.468899 1.02675i −0.516469 0.856306i \(-0.672754\pi\)
0.985368 0.170440i \(-0.0545189\pi\)
\(182\) −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 −0.995426 0.0955351i \(-0.969544\pi\)
0.655224 + 0.755434i \(0.272574\pi\)
\(192\) −1.75307 + 18.3590i −0.126517 + 1.32495i
\(193\) −4.37379 + 0.842978i −0.314832 + 0.0606789i −0.344219 0.938889i \(-0.611856\pi\)
0.0293875 + 0.999568i \(0.490644\pi\)
\(194\) 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 0.192427 0.981311i \(-0.438364\pi\)
−0.812695 + 0.582689i \(0.802000\pi\)
\(198\) 7.10175 + 2.45794i 0.504700 + 0.174678i
\(199\) −24.9353 2.38104i −1.76762 0.168787i −0.840068 0.542481i \(-0.817485\pi\)
−0.927552 + 0.373694i \(0.878091\pi\)
\(200\) 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 −0.121233 0.992624i \(-0.538685\pi\)
0.434666 + 0.900592i \(0.356867\pi\)
\(212\) −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 0.986680 0.162673i \(-0.0520115\pi\)
−0.557854 + 0.829939i \(0.688375\pi\)
\(224\) −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 −0.993166 0.116710i \(-0.962765\pi\)
0.214542 0.976715i \(-0.431174\pi\)
\(228\) 8.03533 20.0713i 0.532152 1.32925i
\(229\) 4.15061 + 7.18906i 0.274280 + 0.475066i 0.969953 0.243292i \(-0.0782273\pi\)
−0.695673 + 0.718358i \(0.744894\pi\)
\(230\) −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 −0.0899388 0.995947i \(-0.528667\pi\)
0.100171 + 0.994970i \(0.468061\pi\)
\(234\) 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 −0.984549 0.175112i \(-0.943971\pi\)
−0.0332136 0.999448i \(-0.510574\pi\)
\(240\) −15.5719 0.741783i −1.00516 0.0478819i
\(241\) −5.27393 4.14747i −0.339724 0.267162i 0.433691 0.901061i \(-0.357211\pi\)
−0.773415 + 0.633900i \(0.781453\pi\)
\(242\) 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 0.919907 + 0.392136i \(0.128264\pi\)
−0.772167 + 0.635419i \(0.780827\pi\)
\(252\) 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 −0.744453 0.667675i \(-0.767290\pi\)
0.702341 + 0.711841i \(0.252138\pi\)
\(258\) 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 0.975385 + 0.220509i \(0.0707717\pi\)
−0.386158 + 0.922433i \(0.626198\pi\)
\(264\) 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 −0.0248447 0.999691i \(-0.507909\pi\)
0.0702945 + 0.997526i \(0.477606\pi\)
\(270\) −2.33128 2.44498i −0.141877 0.148797i
\(271\) −2.85519 + 14.8142i −0.173441 + 0.899896i 0.786052 + 0.618161i \(0.212122\pi\)
−0.959492 + 0.281735i \(0.909090\pi\)
\(272\) 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 −0.906964 0.421209i \(-0.861606\pi\)
0.818259 + 0.574849i \(0.194939\pi\)
\(278\) 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 −0.0730440 0.997329i \(-0.523271\pi\)
−0.997573 + 0.0696342i \(0.977817\pi\)
\(282\) −4.88834 20.1500i −0.291096 1.19992i
\(283\) 0.555731 + 11.6662i 0.0330348 + 0.693485i 0.953270 + 0.302120i \(0.0976942\pi\)
−0.920235 + 0.391366i \(0.872003\pi\)
\(284\) 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 0.394839 0.918750i \(-0.370800\pi\)
−0.164554 + 0.986368i \(0.552619\pi\)
\(294\) −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 −0.595788 0.803142i \(-0.703160\pi\)
0.216816 + 0.976212i \(0.430433\pi\)
\(308\) −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 −0.208670 0.977986i \(-0.566913\pi\)
0.999614 0.0277810i \(-0.00884410\pi\)
\(312\) 5.12158 2.64036i 0.289952 0.149481i
\(313\) −6.51005 + 18.8096i −0.367970 + 1.06318i 0.597321 + 0.802002i \(0.296232\pi\)
−0.965291 + 0.261177i \(0.915889\pi\)
\(314\) 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 0.633142 0.774035i \(-0.281765\pi\)
0.300109 + 0.953905i \(0.402977\pi\)
\(318\) −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 −0.224604 0.974450i \(-0.572109\pi\)
0.778916 0.627128i \(-0.215770\pi\)
\(332\) −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 −0.0311195 0.999516i \(-0.509907\pi\)
0.735005 + 0.678062i \(0.237180\pi\)
\(338\) 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 0.0186503 0.999826i \(-0.494063\pi\)
−0.676461 + 0.736478i \(0.736487\pi\)
\(348\) −2.64941 27.7458i −0.142023 1.48733i
\(349\) 1.85215 + 6.30785i 0.0991434 + 0.337651i 0.994095 0.108511i \(-0.0346084\pi\)
−0.894952 + 0.446163i \(0.852790\pi\)
\(350\) −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 0.844092 + 0.536198i \(0.180140\pi\)
−0.930315 + 0.366762i \(0.880466\pi\)
\(354\) −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 0.938611 0.344976i \(-0.112113\pi\)
0.524548 + 0.851381i \(0.324234\pi\)
\(360\) −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 −0.0721502 0.997394i \(-0.522986\pi\)
0.899843 0.436213i \(-0.143681\pi\)
\(368\) 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 −0.939503 0.342540i \(-0.888713\pi\)
0.999514 + 0.0311750i \(0.00992493\pi\)
\(374\) −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 0.567900 0.823098i \(-0.307756\pi\)
0.313002 + 0.949752i \(0.398665\pi\)
\(380\) 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 0.197199 0.980363i \(-0.436815\pi\)
0.861947 0.506999i \(-0.169245\pi\)
\(384\) 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 0.420946 + 0.907086i \(0.361698\pi\)
−0.930614 + 0.366002i \(0.880726\pi\)
\(390\) 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 0.367468 0.930036i \(-0.380225\pi\)
0.752786 + 0.658265i \(0.228709\pi\)
\(398\) −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 −0.294022 0.955799i \(-0.594994\pi\)
−0.383545 + 0.923522i \(0.625297\pi\)
\(402\) −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 −0.613707 0.789534i \(-0.710322\pi\)
0.00565123 + 0.999984i \(0.498201\pi\)
\(410\) 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 −0.764366 0.644782i \(-0.776948\pi\)
0.747000 + 0.664824i \(0.231493\pi\)
\(420\) 16.5613 4.81919i 0.808107 0.235152i
\(421\) 1.89753 + 2.95261i 0.0924799 + 0.143901i 0.884411 0.466709i \(-0.154560\pi\)
−0.791931 + 0.610611i \(0.790924\pi\)
\(422\) 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 0.820909 0.571060i \(-0.193467\pi\)
−0.609473 + 0.792807i \(0.708619\pi\)
\(432\) −2.33780 + 12.1296i −0.112477 + 0.583588i
\(433\) −16.6627 + 4.89262i −0.800759 + 0.235124i −0.656412 0.754403i \(-0.727927\pi\)
−0.144348 + 0.989527i \(0.546108\pi\)
\(434\) 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 0.740387 0.672181i \(-0.234642\pi\)
−0.827786 + 0.561044i \(0.810400\pi\)
\(440\) 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 0.956902 0.290410i \(-0.0937918\pi\)
−0.983602 + 0.180351i \(0.942277\pi\)
\(444\) 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 −0.991368 0.131112i \(-0.958145\pi\)
0.988149 + 0.153499i \(0.0490543\pi\)
\(450\) −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 0.986640 + 0.162917i \(0.0520901\pi\)
−0.937978 + 0.346695i \(0.887304\pi\)
\(458\) 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 \(0.273101\pi\)
−0.653973 + 0.756518i \(0.726899\pi\)
\(462\) −15.0581 + 12.9841i −0.700568 + 0.604075i
\(463\) −17.2830 + 37.8444i −0.803208 + 1.75878i −0.169001 + 0.985616i \(0.554054\pi\)
−0.634206 + 0.773164i \(0.718673\pi\)
\(464\) −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 0.548043 0.836450i \(-0.315373\pi\)
−0.363456 + 0.931611i \(0.618403\pi\)
\(468\) 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 0.737580 + 0.675259i \(0.235968\pi\)
−0.965009 + 0.262216i \(0.915547\pi\)
\(480\) −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 −0.600903 0.799322i \(-0.705192\pi\)
0.900374 0.435116i \(-0.143293\pi\)
\(488\) −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 0.850029 0.526735i \(-0.176584\pi\)
−0.954731 + 0.297471i \(0.903857\pi\)
\(492\) 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 0.993412 + 0.114594i \(0.0365567\pi\)
0.669581 + 0.742739i \(0.266474\pi\)
\(500\) −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 −0.847974 0.530037i \(-0.822178\pi\)
0.955881 + 0.293755i \(0.0949051\pi\)
\(504\) −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 0.805949 + 0.591985i \(0.201656\pi\)
−0.679351 + 0.733814i \(0.737738\pi\)
\(510\) 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 0.246824 0.969060i \(-0.420613\pi\)
0.0589675 + 0.998260i \(0.481219\pi\)
\(522\) −0.687246 14.4271i −0.0300799 0.631456i
\(523\) −2.67667 11.0334i −0.117043 0.482456i −0.999917 0.0128477i \(-0.995910\pi\)
0.882875 0.469608i \(-0.155605\pi\)
\(524\) 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 0.240177 0.970729i \(-0.422795\pi\)
0.843704 + 0.536809i \(0.180370\pi\)
\(542\) 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 0.0439586 0.999033i \(-0.486003\pi\)
0.982609 0.185688i \(-0.0594515\pi\)
\(548\) −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 −0.712915 0.701251i \(-0.752625\pi\)
−0.126904 + 0.991915i \(0.540504\pi\)
\(558\) −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 0.998893 0.0470323i \(-0.0149764\pi\)
0.189792 + 0.981824i \(0.439219\pi\)
\(564\) −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 −0.356357 0.934350i \(-0.615981\pi\)
0.111401 + 0.993776i \(0.464466\pi\)
\(570\) 13.3615 4.62446i 0.559652 0.193697i
\(571\) −21.0486 5.10634i −0.880858 0.213694i −0.230272 0.973126i \(-0.573962\pi\)
−0.650586 + 0.759433i \(0.725477\pi\)
\(572\) −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 0.674338 + 0.738423i \(0.264429\pi\)
−0.997611 + 0.0690751i \(0.977995\pi\)
\(578\) −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 0.478390 0.878148i \(-0.341221\pi\)
0.211609 + 0.977354i \(0.432130\pi\)
\(588\) 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 −0.460743 0.887533i \(-0.652417\pi\)
0.757602 0.652717i \(-0.226371\pi\)
\(594\) 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 −0.547942 0.836516i \(-0.684589\pi\)
0.998415 + 0.0562734i \(0.0179218\pi\)
\(600\) 17.8487 + 22.6964i 0.728669 + 0.926578i
\(601\) −21.2913 9.72342i −0.868491 0.396627i −0.0692231 0.997601i \(-0.522052\pi\)
−0.799268 + 0.600975i \(0.794779\pi\)
\(602\) 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 0.310523 0.950566i \(-0.399496\pi\)
−0.343513 + 0.939148i \(0.611617\pi\)
\(608\) −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 −0.979513 0.201379i \(-0.935458\pi\)
0.999924 0.0123654i \(-0.00393614\pi\)
\(614\) −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 −0.858285 0.513174i \(-0.828470\pi\)
0.444592 0.895733i \(-0.353349\pi\)
\(618\) 0.0142257 + 0.148978i 0.000572241 + 0.00599278i
\(619\) −12.2859 4.91855i −0.493814 0.197693i 0.111370 0.993779i \(-0.464476\pi\)
−0.605184 + 0.796086i \(0.706900\pi\)
\(620\) −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 −0.505186 0.863010i \(-0.668576\pi\)
0.994884 + 0.101026i \(0.0322125\pi\)
\(632\) −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 0.0360122 0.999351i \(-0.488534\pi\)
0.956166 + 0.292824i \(0.0945951\pi\)
\(642\) −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 −0.678959 0.734177i \(-0.737568\pi\)
0.471732 + 0.881742i \(0.343629\pi\)
\(648\) −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 −0.839734 0.542998i \(-0.817289\pi\)
0.995735 + 0.0922635i \(0.0294102\pi\)
\(654\) 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 −0.472039 0.881578i \(-0.656482\pi\)
0.357133 + 0.934054i \(0.383754\pi\)
\(660\) 16.2675 + 8.38647i 0.633211 + 0.326443i
\(661\) −22.4876 + 21.4419i −0.874668 + 0.833994i −0.987172 0.159657i \(-0.948961\pi\)
0.112505 + 0.993651i \(0.464113\pi\)
\(662\) −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 0.0759600 0.997111i \(-0.475798\pi\)
−0.475177 + 0.879890i \(0.657616\pi\)
\(674\) 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 −0.946628 0.322329i \(-0.895534\pi\)
0.972981 0.230887i \(-0.0741628\pi\)
\(678\) −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 0.970351 + 0.241701i \(0.0777052\pi\)
−0.942982 + 0.332844i \(0.891992\pi\)
\(684\) −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 −0.998555 0.0537392i \(-0.982886\pi\)
−0.452738 + 0.891644i \(0.649553\pi\)
\(692\) 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 0.671346 0.741144i \(-0.265716\pi\)
0.435347 + 0.900263i \(0.356626\pi\)
\(702\) 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 −0.790902 0.611943i \(-0.790388\pi\)
0.648883 + 0.760889i \(0.275237\pi\)
\(710\) 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 0.0276781 0.999617i \(-0.491189\pi\)
0.482652 + 0.875812i \(0.339674\pi\)
\(720\) −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 −0.996248 0.0865396i \(-0.972419\pi\)
0.0561222 0.998424i \(-0.482126\pi\)
\(728\) −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 −0.313031 0.949743i \(-0.601345\pi\)
−0.127635 + 0.991821i \(0.540738\pi\)
\(734\) −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 0.362344 0.932044i \(-0.381977\pi\)
−0.999294 + 0.0375736i \(0.988037\pi\)
\(740\) −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 −0.995356 0.0962631i \(-0.969311\pi\)
0.325922 0.945397i \(-0.394325\pi\)
\(744\) −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 0.957836 0.287316i \(-0.0927629\pi\)
0.0417638 + 0.999128i \(0.486702\pi\)
\(752\) −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 −0.260581 0.965452i \(-0.583914\pi\)
0.0219735 + 0.999759i \(0.493005\pi\)
\(758\) 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 0.361890 0.932221i \(-0.382132\pi\)
−0.991262 + 0.131909i \(0.957889\pi\)
\(762\) −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 0.992786 0.119896i \(-0.0382560\pi\)
0.303357 + 0.952877i \(0.401892\pi\)
\(770\) −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 + 0.0115343i −0.219086 0.975706i \(-0.570308\pi\)