Properties

Label 483.2.bf.a.10.15
Level $483$
Weight $2$
Character 483.10
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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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 10.15
Character \(\chi\) \(=\) 483.10
Dual form 483.2.bf.a.145.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.131204 + 0.379090i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(1.44561 + 1.13684i) q^{4} +(3.76955 - 0.359949i) q^{5} +(0.397070 - 0.0570900i) q^{6} +(2.39754 - 1.11885i) q^{7} +(-1.29558 + 0.832618i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.131204 + 0.379090i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(1.44561 + 1.13684i) q^{4} +(3.76955 - 0.359949i) q^{5} +(0.397070 - 0.0570900i) q^{6} +(2.39754 - 1.11885i) q^{7} +(-1.29558 + 0.832618i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-0.358129 + 1.47623i) q^{10} +(1.70676 - 0.590715i) q^{11} +(0.348047 - 1.80584i) q^{12} +(-0.0457585 - 0.155839i) q^{13} +(0.109577 + 1.05568i) q^{14} +(-2.04724 - 3.18557i) q^{15} +(0.721506 + 2.97409i) q^{16} +(-6.34343 - 2.53953i) q^{17} +(-0.232692 - 0.326770i) q^{18} +(-6.40207 + 2.56300i) q^{19} +(5.85851 + 3.76504i) q^{20} +(-2.09309 - 1.61833i) q^{21} +0.724520i q^{22} +(-0.586082 - 4.75989i) q^{23} +(1.33373 + 0.770028i) q^{24} +(9.17032 - 1.76743i) q^{25} +(0.0650808 + 0.00310018i) q^{26} +(0.989821 + 0.142315i) q^{27} +(4.73786 + 1.10820i) q^{28} +(0.575512 + 4.00278i) q^{29} +(1.47623 - 0.358129i) q^{30} +(-6.84464 + 0.326050i) q^{31} +(-4.28828 - 0.409481i) q^{32} +(-1.30713 - 1.24635i) q^{33} +(1.79499 - 2.07153i) q^{34} +(8.63491 - 5.08054i) q^{35} +(-1.76458 + 0.518128i) q^{36} +(7.61353 + 5.42157i) q^{37} +(-0.131629 - 2.76324i) q^{38} +(-0.117548 + 0.112081i) q^{39} +(-4.58405 + 3.60494i) q^{40} +(-4.60128 - 2.10133i) q^{41} +(0.888114 - 0.581136i) q^{42} +(-0.916257 + 1.42572i) q^{43} +(3.13886 + 1.08637i) q^{44} +(-1.89335 + 3.27938i) q^{45} +(1.88132 + 0.402340i) q^{46} +(3.70698 - 2.14022i) q^{47} +(2.31286 - 2.00411i) q^{48} +(4.49636 - 5.36495i) q^{49} +(-0.533169 + 3.70827i) q^{50} +(0.649507 + 6.80194i) q^{51} +(0.111015 - 0.277303i) q^{52} +(-0.600264 - 0.629539i) q^{53} +(-0.183819 + 0.356559i) q^{54} +(6.22109 - 2.84108i) q^{55} +(-2.17462 + 3.44579i) q^{56} +(5.21169 + 4.51595i) q^{57} +(-1.59292 - 0.307011i) q^{58} +(6.68540 + 1.62186i) q^{59} +(0.661973 - 6.93249i) q^{60} +(8.14448 + 4.19877i) q^{61} +(0.774443 - 2.63751i) q^{62} +(-0.479322 + 2.60197i) q^{63} +(-1.82476 + 3.99567i) q^{64} +(-0.228583 - 0.570973i) q^{65} +(0.643979 - 0.331994i) q^{66} +(0.941017 + 4.88246i) q^{67} +(-6.28310 - 10.8826i) q^{68} +(-3.96220 + 2.70204i) q^{69} +(0.793045 + 3.94000i) q^{70} +(-10.1132 - 11.6712i) q^{71} +(0.0732789 - 1.53831i) q^{72} +(-2.80208 + 3.56314i) q^{73} +(-3.05419 + 2.17488i) q^{74} +(-5.77304 - 7.34102i) q^{75} +(-12.1686 - 3.57303i) q^{76} +(3.43110 - 3.32586i) q^{77} +(-0.0270662 - 0.0592667i) q^{78} +(-9.80579 + 10.2840i) q^{79} +(3.79027 + 10.9513i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(1.40030 - 1.46859i) q^{82} +(-5.99689 - 13.1314i) q^{83} +(-1.18600 - 4.71898i) q^{84} +(-24.8260 - 7.28957i) q^{85} +(-0.420261 - 0.534405i) q^{86} +(3.29409 - 2.34571i) q^{87} +(-1.71940 + 2.18640i) q^{88} +(0.148453 - 3.11641i) q^{89} +(-0.994763 - 1.14802i) q^{90} +(-0.284068 - 0.322433i) q^{91} +(4.56399 - 7.54723i) q^{92} +(3.42620 + 5.93435i) q^{93} +(0.324966 + 1.68608i) q^{94} +(-23.2104 + 11.9658i) q^{95} +(1.60104 + 3.99921i) q^{96} +(-2.81221 + 6.15788i) q^{97} +(1.44386 + 2.40843i) q^{98} +(-0.508835 + 1.73293i) 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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.131204 + 0.379090i −0.0927754 + 0.268057i −0.981836 0.189733i \(-0.939238\pi\)
0.889060 + 0.457790i \(0.151359\pi\)
\(3\) −0.458227 0.888835i −0.264557 0.513169i
\(4\) 1.44561 + 1.13684i 0.722806 + 0.568421i
\(5\) 3.76955 0.359949i 1.68580 0.160974i 0.792326 0.610098i \(-0.208870\pi\)
0.893469 + 0.449124i \(0.148264\pi\)
\(6\) 0.397070 0.0570900i 0.162103 0.0233069i
\(7\) 2.39754 1.11885i 0.906184 0.422885i
\(8\) −1.29558 + 0.832618i −0.458056 + 0.294375i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) −0.358129 + 1.47623i −0.113250 + 0.466824i
\(11\) 1.70676 0.590715i 0.514607 0.178107i −0.0574071 0.998351i \(-0.518283\pi\)
0.572014 + 0.820244i \(0.306162\pi\)
\(12\) 0.348047 1.80584i 0.100473 0.521302i
\(13\) −0.0457585 0.155839i −0.0126911 0.0432220i 0.952904 0.303272i \(-0.0980791\pi\)
−0.965595 + 0.260050i \(0.916261\pi\)
\(14\) 0.109577 + 1.05568i 0.0292856 + 0.282142i
\(15\) −2.04724 3.18557i −0.528596 0.822512i
\(16\) 0.721506 + 2.97409i 0.180376 + 0.743522i
\(17\) −6.34343 2.53953i −1.53851 0.615926i −0.561187 0.827689i \(-0.689655\pi\)
−0.977321 + 0.211764i \(0.932079\pi\)
\(18\) −0.232692 0.326770i −0.0548459 0.0770203i
\(19\) −6.40207 + 2.56300i −1.46874 + 0.587993i −0.961742 0.273957i \(-0.911667\pi\)
−0.506994 + 0.861950i \(0.669243\pi\)
\(20\) 5.85851 + 3.76504i 1.31000 + 0.841888i
\(21\) −2.09309 1.61833i −0.456749 0.353149i
\(22\) 0.724520i 0.154468i
\(23\) −0.586082 4.75989i −0.122206 0.992505i
\(24\) 1.33373 + 0.770028i 0.272246 + 0.157181i
\(25\) 9.17032 1.76743i 1.83406 0.353487i
\(26\) 0.0650808 + 0.00310018i 0.0127634 + 0.000607995i
\(27\) 0.989821 + 0.142315i 0.190491 + 0.0273885i
\(28\) 4.73786 + 1.10820i 0.895371 + 0.209430i
\(29\) 0.575512 + 4.00278i 0.106870 + 0.743297i 0.970836 + 0.239746i \(0.0770642\pi\)
−0.863966 + 0.503551i \(0.832027\pi\)
\(30\) 1.47623 0.358129i 0.269521 0.0653850i
\(31\) −6.84464 + 0.326050i −1.22933 + 0.0585603i −0.652173 0.758071i \(-0.726142\pi\)
−0.577160 + 0.816631i \(0.695839\pi\)
\(32\) −4.28828 0.409481i −0.758068 0.0723867i
\(33\) −1.30713 1.24635i −0.227542 0.216961i
\(34\) 1.79499 2.07153i 0.307839 0.355265i
\(35\) 8.63491 5.08054i 1.45957 0.858769i
\(36\) −1.76458 + 0.518128i −0.294097 + 0.0863546i
\(37\) 7.61353 + 5.42157i 1.25166 + 0.891301i 0.997126 0.0757640i \(-0.0241396\pi\)
0.254531 + 0.967065i \(0.418079\pi\)
\(38\) −0.131629 2.76324i −0.0213531 0.448256i
\(39\) −0.117548 + 0.112081i −0.0188227 + 0.0179474i
\(40\) −4.58405 + 3.60494i −0.724802 + 0.569991i
\(41\) −4.60128 2.10133i −0.718599 0.328173i 0.0223355 0.999751i \(-0.492890\pi\)
−0.740934 + 0.671577i \(0.765617\pi\)
\(42\) 0.888114 0.581136i 0.137039 0.0896712i
\(43\) −0.916257 + 1.42572i −0.139728 + 0.217421i −0.904064 0.427397i \(-0.859431\pi\)
0.764336 + 0.644818i \(0.223067\pi\)
\(44\) 3.13886 + 1.08637i 0.473201 + 0.163776i
\(45\) −1.89335 + 3.27938i −0.282244 + 0.488861i
\(46\) 1.88132 + 0.402340i 0.277386 + 0.0593218i
\(47\) 3.70698 2.14022i 0.540718 0.312184i −0.204652 0.978835i \(-0.565606\pi\)
0.745370 + 0.666651i \(0.232273\pi\)
\(48\) 2.31286 2.00411i 0.333833 0.289268i
\(49\) 4.49636 5.36495i 0.642337 0.766422i
\(50\) −0.533169 + 3.70827i −0.0754015 + 0.524429i
\(51\) 0.649507 + 6.80194i 0.0909491 + 0.952463i
\(52\) 0.111015 0.277303i 0.0153951 0.0384550i
\(53\) −0.600264 0.629539i −0.0824526 0.0864738i 0.681215 0.732083i \(-0.261452\pi\)
−0.763668 + 0.645610i \(0.776603\pi\)
\(54\) −0.183819 + 0.356559i −0.0250146 + 0.0485215i
\(55\) 6.22109 2.84108i 0.838852 0.383091i
\(56\) −2.17462 + 3.44579i −0.290596 + 0.460462i
\(57\) 5.21169 + 4.51595i 0.690305 + 0.598152i
\(58\) −1.59292 0.307011i −0.209161 0.0403125i
\(59\) 6.68540 + 1.62186i 0.870365 + 0.211148i 0.645982 0.763353i \(-0.276448\pi\)
0.224383 + 0.974501i \(0.427963\pi\)
\(60\) 0.661973 6.93249i 0.0854603 0.894981i
\(61\) 8.14448 + 4.19877i 1.04279 + 0.537598i 0.892502 0.451044i \(-0.148948\pi\)
0.150292 + 0.988642i \(0.451979\pi\)
\(62\) 0.774443 2.63751i 0.0983544 0.334964i
\(63\) −0.479322 + 2.60197i −0.0603888 + 0.327817i
\(64\) −1.82476 + 3.99567i −0.228095 + 0.499459i
\(65\) −0.228583 0.570973i −0.0283523 0.0708205i
\(66\) 0.643979 0.331994i 0.0792683 0.0408657i
\(67\) 0.941017 + 4.88246i 0.114964 + 0.596487i 0.993022 + 0.117933i \(0.0376269\pi\)
−0.878058 + 0.478554i \(0.841161\pi\)
\(68\) −6.28310 10.8826i −0.761937 1.31971i
\(69\) −3.96220 + 2.70204i −0.476992 + 0.325287i
\(70\) 0.793045 + 3.94000i 0.0947870 + 0.470920i
\(71\) −10.1132 11.6712i −1.20021 1.38512i −0.902626 0.430426i \(-0.858363\pi\)
−0.297588 0.954694i \(-0.596182\pi\)
\(72\) 0.0732789 1.53831i 0.00863600 0.181292i
\(73\) −2.80208 + 3.56314i −0.327959 + 0.417033i −0.921871 0.387496i \(-0.873340\pi\)
0.593913 + 0.804530i \(0.297582\pi\)
\(74\) −3.05419 + 2.17488i −0.355042 + 0.252825i
\(75\) −5.77304 7.34102i −0.666613 0.847668i
\(76\) −12.1686 3.57303i −1.39584 0.409855i
\(77\) 3.43110 3.32586i 0.391010 0.379017i
\(78\) −0.0270662 0.0592667i −0.00306464 0.00671063i
\(79\) −9.80579 + 10.2840i −1.10324 + 1.15704i −0.116758 + 0.993160i \(0.537250\pi\)
−0.986480 + 0.163882i \(0.947598\pi\)
\(80\) 3.79027 + 10.9513i 0.423765 + 1.22439i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) 1.40030 1.46859i 0.154637 0.162179i
\(83\) −5.99689 13.1314i −0.658244 1.44135i −0.884149 0.467205i \(-0.845261\pi\)
0.225905 0.974149i \(-0.427466\pi\)
\(84\) −1.18600 4.71898i −0.129404 0.514883i
\(85\) −24.8260 7.28957i −2.69276 0.790665i
\(86\) −0.420261 0.534405i −0.0453179 0.0576264i
\(87\) 3.29409 2.34571i 0.353164 0.251487i
\(88\) −1.71940 + 2.18640i −0.183289 + 0.233071i
\(89\) 0.148453 3.11641i 0.0157360 0.330339i −0.977249 0.212097i \(-0.931971\pi\)
0.992985 0.118243i \(-0.0377261\pi\)
\(90\) −0.994763 1.14802i −0.104857 0.121012i
\(91\) −0.284068 0.322433i −0.0297784 0.0338002i
\(92\) 4.56399 7.54723i 0.475829 0.786853i
\(93\) 3.42620 + 5.93435i 0.355280 + 0.615363i
\(94\) 0.324966 + 1.68608i 0.0335177 + 0.173906i
\(95\) −23.2104 + 11.9658i −2.38134 + 1.22766i
\(96\) 1.60104 + 3.99921i 0.163406 + 0.408168i
\(97\) −2.81221 + 6.15788i −0.285537 + 0.625238i −0.996993 0.0774924i \(-0.975309\pi\)
0.711456 + 0.702730i \(0.248036\pi\)
\(98\) 1.44386 + 2.40843i 0.145852 + 0.243288i
\(99\) −0.508835 + 1.73293i −0.0511399 + 0.174166i
\(100\) 15.2660 + 7.87018i 1.52660 + 0.787018i
\(101\) −0.605416 + 6.34020i −0.0602411 + 0.630874i 0.914053 + 0.405595i \(0.132935\pi\)
−0.974294 + 0.225279i \(0.927671\pi\)
\(102\) −2.66377 0.646223i −0.263752 0.0639856i
\(103\) 0.622478 + 0.119973i 0.0613346 + 0.0118213i 0.219826 0.975539i \(-0.429451\pi\)
−0.158492 + 0.987360i \(0.550663\pi\)
\(104\) 0.189038 + 0.163803i 0.0185367 + 0.0160622i
\(105\) −8.47251 5.34698i −0.826833 0.521811i
\(106\) 0.317409 0.144956i 0.0308295 0.0140794i
\(107\) −0.468308 + 0.908392i −0.0452731 + 0.0878175i −0.910387 0.413758i \(-0.864216\pi\)
0.865114 + 0.501576i \(0.167246\pi\)
\(108\) 1.26911 + 1.33100i 0.122120 + 0.128076i
\(109\) −0.778827 + 1.94541i −0.0745981 + 0.186337i −0.960980 0.276618i \(-0.910786\pi\)
0.886382 + 0.462955i \(0.153211\pi\)
\(110\) 0.260790 + 2.73112i 0.0248653 + 0.260402i
\(111\) 1.33016 9.25148i 0.126253 0.878112i
\(112\) 5.05739 + 6.32323i 0.477878 + 0.597489i
\(113\) 0.587937 0.509450i 0.0553085 0.0479251i −0.626768 0.779206i \(-0.715623\pi\)
0.682076 + 0.731281i \(0.261077\pi\)
\(114\) −2.39575 + 1.38319i −0.224382 + 0.129547i
\(115\) −3.92258 17.7317i −0.365782 1.65349i
\(116\) −3.71856 + 6.44073i −0.345259 + 0.598006i
\(117\) 0.153485 + 0.0531218i 0.0141897 + 0.00491111i
\(118\) −1.49198 + 2.32157i −0.137348 + 0.213718i
\(119\) −18.0499 + 1.00872i −1.65464 + 0.0924694i
\(120\) 5.30473 + 2.42259i 0.484253 + 0.221151i
\(121\) −6.08250 + 4.78333i −0.552955 + 0.434848i
\(122\) −2.66030 + 2.53659i −0.240852 + 0.229652i
\(123\) 0.240688 + 5.05267i 0.0217021 + 0.455584i
\(124\) −10.2654 7.30992i −0.921856 0.656451i
\(125\) 15.7653 4.62910i 1.41009 0.414039i
\(126\) −0.923492 0.523096i −0.0822712 0.0466011i
\(127\) 10.8210 12.4881i 0.960207 1.10814i −0.0338659 0.999426i \(-0.510782\pi\)
0.994073 0.108712i \(-0.0346726\pi\)
\(128\) −7.51068 7.16142i −0.663857 0.632986i
\(129\) 1.68709 + 0.161097i 0.148540 + 0.0141838i
\(130\) 0.246441 0.0117394i 0.0216143 0.00102962i
\(131\) 10.1548 2.46352i 0.887225 0.215238i 0.233850 0.972273i \(-0.424868\pi\)
0.653375 + 0.757034i \(0.273352\pi\)
\(132\) −0.472705 3.28773i −0.0411437 0.286161i
\(133\) −12.4816 + 13.3078i −1.08229 + 1.15394i
\(134\) −1.97436 0.283870i −0.170558 0.0245226i
\(135\) 3.78241 + 0.180178i 0.325538 + 0.0155073i
\(136\) 10.3329 1.99150i 0.886036 0.170769i
\(137\) 11.5113 + 6.64607i 0.983480 + 0.567812i 0.903319 0.428970i \(-0.141123\pi\)
0.0801610 + 0.996782i \(0.474457\pi\)
\(138\) −0.504457 1.85655i −0.0429423 0.158040i
\(139\) 21.3617i 1.81187i −0.423413 0.905937i \(-0.639168\pi\)
0.423413 0.905937i \(-0.360832\pi\)
\(140\) 18.2585 + 2.47203i 1.54313 + 0.208925i
\(141\) −3.60094 2.31418i −0.303254 0.194890i
\(142\) 5.75134 2.30249i 0.482642 0.193221i
\(143\) −0.170155 0.238950i −0.0142291 0.0199820i
\(144\) −2.84113 1.13742i −0.236761 0.0947849i
\(145\) 3.61022 + 14.8815i 0.299812 + 1.23584i
\(146\) −0.983104 1.52974i −0.0813622 0.126602i
\(147\) −6.82891 1.53816i −0.563239 0.126865i
\(148\) 4.84274 + 16.4929i 0.398071 + 1.35570i
\(149\) −2.24440 + 11.6451i −0.183869 + 0.954002i 0.766351 + 0.642422i \(0.222070\pi\)
−0.950220 + 0.311580i \(0.899142\pi\)
\(150\) 3.54035 1.22533i 0.289069 0.100048i
\(151\) −0.145167 + 0.598385i −0.0118135 + 0.0486959i −0.977413 0.211337i \(-0.932218\pi\)
0.965600 + 0.260033i \(0.0837334\pi\)
\(152\) 6.16038 8.65105i 0.499673 0.701693i
\(153\) 5.74819 3.69414i 0.464713 0.298653i
\(154\) 0.810627 + 1.73706i 0.0653222 + 0.139976i
\(155\) −25.6839 + 3.69278i −2.06298 + 0.296611i
\(156\) −0.297347 + 0.0283932i −0.0238068 + 0.00227328i
\(157\) −1.95524 1.53762i −0.156045 0.122715i 0.537084 0.843529i \(-0.319526\pi\)
−0.693129 + 0.720814i \(0.743768\pi\)
\(158\) −2.61201 5.06658i −0.207800 0.403076i
\(159\) −0.284499 + 0.822007i −0.0225623 + 0.0651894i
\(160\) −16.3123 −1.28960
\(161\) −6.73074 10.7563i −0.530456 0.847712i
\(162\) 0.401153 0.0315176
\(163\) 5.01245 14.4825i 0.392605 1.13436i −0.559564 0.828787i \(-0.689031\pi\)
0.952169 0.305571i \(-0.0988475\pi\)
\(164\) −4.26278 8.26864i −0.332867 0.645672i
\(165\) −5.37592 4.22767i −0.418515 0.329124i
\(166\) 5.76478 0.550470i 0.447434 0.0427248i
\(167\) −0.284251 + 0.0408691i −0.0219960 + 0.00316254i −0.153304 0.988179i \(-0.548991\pi\)
0.131308 + 0.991342i \(0.458082\pi\)
\(168\) 4.05921 + 0.353933i 0.313175 + 0.0273065i
\(169\) 10.9141 7.01407i 0.839546 0.539544i
\(170\) 6.02068 8.45486i 0.461765 0.648458i
\(171\) 1.62581 6.70166i 0.124328 0.512489i
\(172\) −2.94537 + 1.01940i −0.224583 + 0.0777288i
\(173\) −3.92245 + 20.3516i −0.298219 + 1.54731i 0.455577 + 0.890196i \(0.349433\pi\)
−0.753796 + 0.657109i \(0.771779\pi\)
\(174\) 0.457037 + 1.55653i 0.0346479 + 0.118000i
\(175\) 20.0087 14.4977i 1.51251 1.09592i
\(176\) 2.98828 + 4.64985i 0.225250 + 0.350495i
\(177\) −1.62186 6.68540i −0.121906 0.502505i
\(178\) 1.16192 + 0.465164i 0.0870899 + 0.0348655i
\(179\) 4.99288 + 7.01152i 0.373185 + 0.524066i 0.957873 0.287193i \(-0.0927222\pi\)
−0.584687 + 0.811259i \(0.698783\pi\)
\(180\) −6.46518 + 2.58827i −0.481886 + 0.192918i
\(181\) −4.10260 2.63658i −0.304944 0.195975i 0.379215 0.925309i \(-0.376194\pi\)
−0.684159 + 0.729333i \(0.739830\pi\)
\(182\) 0.159502 0.0653827i 0.0118231 0.00484648i
\(183\) 9.16309i 0.677355i
\(184\) 4.72248 + 5.67882i 0.348146 + 0.418648i
\(185\) 30.6511 + 17.6964i 2.25351 + 1.30107i
\(186\) −2.69918 + 0.520225i −0.197914 + 0.0381448i
\(187\) −12.3268 0.587200i −0.901428 0.0429403i
\(188\) 7.79194 + 1.12031i 0.568286 + 0.0817072i
\(189\) 2.53236 0.766254i 0.184202 0.0557368i
\(190\) −1.49081 10.3688i −0.108154 0.752231i
\(191\) −0.735517 + 0.178435i −0.0532201 + 0.0129111i −0.262281 0.964992i \(-0.584475\pi\)
0.209060 + 0.977903i \(0.432959\pi\)
\(192\) 4.38765 0.209010i 0.316652 0.0150840i
\(193\) 15.7227 + 1.50134i 1.13175 + 0.108069i 0.644078 0.764960i \(-0.277241\pi\)
0.487669 + 0.873029i \(0.337847\pi\)
\(194\) −1.96542 1.87402i −0.141109 0.134547i
\(195\) −0.402758 + 0.464808i −0.0288421 + 0.0332856i
\(196\) 12.5991 2.64399i 0.899935 0.188856i
\(197\) −11.2560 + 3.30507i −0.801959 + 0.235476i −0.656931 0.753951i \(-0.728146\pi\)
−0.145028 + 0.989427i \(0.546327\pi\)
\(198\) −0.590176 0.420263i −0.0419420 0.0298668i
\(199\) 0.150951 + 3.16886i 0.0107006 + 0.224634i 0.997883 + 0.0650370i \(0.0207165\pi\)
−0.987182 + 0.159597i \(0.948980\pi\)
\(200\) −10.4093 + 9.92522i −0.736047 + 0.701819i
\(201\) 3.90850 3.07368i 0.275685 0.216801i
\(202\) −2.32407 1.06137i −0.163521 0.0746777i
\(203\) 5.85831 + 8.95289i 0.411173 + 0.628370i
\(204\) −6.79380 + 10.5714i −0.475661 + 0.740143i
\(205\) −18.1011 6.26486i −1.26424 0.437557i
\(206\) −0.127152 + 0.220234i −0.00885912 + 0.0153444i
\(207\) 4.21725 + 2.28360i 0.293119 + 0.158721i
\(208\) 0.430464 0.248529i 0.0298473 0.0172324i
\(209\) −9.41279 + 8.15623i −0.651096 + 0.564178i
\(210\) 3.13861 2.51030i 0.216585 0.173227i
\(211\) 0.497836 3.46252i 0.0342724 0.238370i −0.965483 0.260464i \(-0.916124\pi\)
0.999756 + 0.0220944i \(0.00703345\pi\)
\(212\) −0.152063 1.59247i −0.0104437 0.109372i
\(213\) −5.73968 + 14.3370i −0.393276 + 0.982357i
\(214\) −0.282918 0.296716i −0.0193399 0.0202831i
\(215\) −2.94069 + 5.70415i −0.200554 + 0.389020i
\(216\) −1.40089 + 0.639763i −0.0953182 + 0.0435303i
\(217\) −16.0455 + 8.43982i −1.08924 + 0.572932i
\(218\) −0.635302 0.550492i −0.0430281 0.0372840i
\(219\) 4.45103 + 0.857865i 0.300773 + 0.0579692i
\(220\) 12.2231 + 2.96530i 0.824084 + 0.199921i
\(221\) −0.105492 + 1.10476i −0.00709614 + 0.0743142i
\(222\) 3.33262 + 1.71809i 0.223671 + 0.115310i
\(223\) 1.75830 5.98822i 0.117745 0.401001i −0.879438 0.476013i \(-0.842081\pi\)
0.997183 + 0.0750123i \(0.0238996\pi\)
\(224\) −10.7394 + 3.81618i −0.717560 + 0.254979i
\(225\) −3.87960 + 8.49513i −0.258640 + 0.566342i
\(226\) 0.115988 + 0.289723i 0.00771538 + 0.0192721i
\(227\) 15.0180 7.74232i 0.996780 0.513876i 0.118977 0.992897i \(-0.462039\pi\)
0.877803 + 0.479021i \(0.159008\pi\)
\(228\) 2.40015 + 12.4532i 0.158954 + 0.824732i
\(229\) −2.12181 3.67509i −0.140213 0.242857i 0.787363 0.616489i \(-0.211446\pi\)
−0.927577 + 0.373632i \(0.878112\pi\)
\(230\) 7.23656 + 0.839462i 0.477165 + 0.0553525i
\(231\) −4.52837 1.52568i −0.297945 0.100383i
\(232\) −4.07840 4.70673i −0.267760 0.309012i
\(233\) 0.0216079 0.453606i 0.00141558 0.0297167i −0.998049 0.0624350i \(-0.980113\pi\)
0.999465 + 0.0327183i \(0.0104164\pi\)
\(234\) −0.0402759 + 0.0512150i −0.00263292 + 0.00334803i
\(235\) 13.2033 9.40201i 0.861287 0.613319i
\(236\) 7.82069 + 9.94482i 0.509084 + 0.647352i
\(237\) 13.6341 + 4.00333i 0.885628 + 0.260044i
\(238\) 1.98583 6.97490i 0.128722 0.452116i
\(239\) 6.99724 + 15.3218i 0.452614 + 0.991087i 0.989109 + 0.147183i \(0.0470207\pi\)
−0.536495 + 0.843903i \(0.680252\pi\)
\(240\) 7.99708 8.38709i 0.516209 0.541385i
\(241\) −6.15361 17.7797i −0.396389 1.14529i −0.949929 0.312467i \(-0.898845\pi\)
0.553540 0.832823i \(-0.313277\pi\)
\(242\) −1.01526 2.93341i −0.0652635 0.188567i
\(243\) −0.690079 + 0.723734i −0.0442686 + 0.0464276i
\(244\) 7.00042 + 15.3288i 0.448156 + 0.981324i
\(245\) 15.0182 21.8419i 0.959475 1.39543i
\(246\) −1.94699 0.571689i −0.124136 0.0364496i
\(247\) 0.692365 + 0.880414i 0.0440542 + 0.0560194i
\(248\) 8.59629 6.12139i 0.545865 0.388708i
\(249\) −8.92368 + 11.3474i −0.565515 + 0.719111i
\(250\) −0.313625 + 6.58381i −0.0198354 + 0.416397i
\(251\) −13.5382 15.6239i −0.854520 0.986169i 0.145474 0.989362i \(-0.453529\pi\)
−0.999995 + 0.00319282i \(0.998984\pi\)
\(252\) −3.65094 + 3.21653i −0.229988 + 0.202622i
\(253\) −3.81204 7.77777i −0.239661 0.488984i
\(254\) 3.31435 + 5.74062i 0.207961 + 0.360198i
\(255\) 4.89670 + 25.4065i 0.306643 + 1.59102i
\(256\) −4.10839 + 2.11802i −0.256774 + 0.132376i
\(257\) 0.0593817 + 0.148328i 0.00370413 + 0.00925246i 0.930208 0.367032i \(-0.119626\pi\)
−0.926504 + 0.376284i \(0.877202\pi\)
\(258\) −0.282423 + 0.618421i −0.0175829 + 0.0385012i
\(259\) 24.3196 + 4.48004i 1.51115 + 0.278376i
\(260\) 0.318664 1.08527i 0.0197627 0.0673055i
\(261\) −3.59440 1.85304i −0.222487 0.114700i
\(262\) −0.398453 + 4.17279i −0.0246165 + 0.257796i
\(263\) −19.8288 4.81041i −1.22269 0.296622i −0.428082 0.903740i \(-0.640811\pi\)
−0.794612 + 0.607117i \(0.792326\pi\)
\(264\) 2.73122 + 0.526400i 0.168095 + 0.0323977i
\(265\) −2.48933 2.15701i −0.152918 0.132504i
\(266\) −3.40723 6.47769i −0.208910 0.397173i
\(267\) −2.83801 + 1.29607i −0.173683 + 0.0793184i
\(268\) −4.19024 + 8.12793i −0.255959 + 0.496492i
\(269\) −5.36518 5.62684i −0.327121 0.343074i 0.539551 0.841953i \(-0.318594\pi\)
−0.866672 + 0.498878i \(0.833745\pi\)
\(270\) −0.564572 + 1.41023i −0.0343588 + 0.0858241i
\(271\) 2.03848 + 21.3480i 0.123829 + 1.29680i 0.817258 + 0.576272i \(0.195493\pi\)
−0.693429 + 0.720525i \(0.743901\pi\)
\(272\) 2.97595 20.6982i 0.180444 1.25501i
\(273\) −0.156423 + 0.400237i −0.00946713 + 0.0242235i
\(274\) −4.02980 + 3.49184i −0.243449 + 0.210950i
\(275\) 14.6075 8.43363i 0.880864 0.508567i
\(276\) −8.79958 0.598295i −0.529673 0.0360131i
\(277\) 5.27164 9.13075i 0.316742 0.548614i −0.663064 0.748563i \(-0.730744\pi\)
0.979806 + 0.199949i \(0.0640777\pi\)
\(278\) 8.09799 + 2.80274i 0.485685 + 0.168097i
\(279\) 3.70469 5.76460i 0.221794 0.345118i
\(280\) −6.95706 + 13.7718i −0.415764 + 0.823024i
\(281\) −12.1521 5.54968i −0.724934 0.331066i 0.0185429 0.999828i \(-0.494097\pi\)
−0.743477 + 0.668762i \(0.766825\pi\)
\(282\) 1.34974 1.06145i 0.0803760 0.0632084i
\(283\) −14.9325 + 14.2381i −0.887643 + 0.846366i −0.988913 0.148493i \(-0.952558\pi\)
0.101270 + 0.994859i \(0.467709\pi\)
\(284\) −1.35139 28.3692i −0.0801902 1.68340i
\(285\) 21.2712 + 15.1472i 1.26000 + 0.897241i
\(286\) 0.112909 0.0331529i 0.00667642 0.00196037i
\(287\) −13.3828 + 0.110104i −0.789962 + 0.00649924i
\(288\) 2.82100 3.25561i 0.166229 0.191838i
\(289\) 21.4864 + 20.4873i 1.26391 + 1.20513i
\(290\) −6.11511 0.583922i −0.359092 0.0342891i
\(291\) 6.76197 0.322112i 0.396394 0.0188826i
\(292\) −8.10144 + 1.96539i −0.474101 + 0.115016i
\(293\) 2.66690 + 18.5487i 0.155802 + 1.08363i 0.906264 + 0.422712i \(0.138922\pi\)
−0.750462 + 0.660914i \(0.770169\pi\)
\(294\) 1.47908 2.38696i 0.0862619 0.139210i
\(295\) 25.7847 + 3.70729i 1.50125 + 0.215847i
\(296\) −14.3780 0.684910i −0.835705 0.0398096i
\(297\) 1.77345 0.341805i 0.102906 0.0198336i
\(298\) −4.12006 2.37872i −0.238668 0.137795i
\(299\) −0.714958 + 0.309140i −0.0413471 + 0.0178780i
\(300\) 17.1753i 0.991616i
\(301\) −0.601593 + 4.44338i −0.0346752 + 0.256112i
\(302\) −0.207795 0.133542i −0.0119573 0.00768447i
\(303\) 5.91281 2.36713i 0.339682 0.135988i
\(304\) −12.2417 17.1911i −0.702111 0.985977i
\(305\) 32.2124 + 12.8959i 1.84448 + 0.738417i
\(306\) 0.646223 + 2.66377i 0.0369421 + 0.152277i
\(307\) 2.23299 + 3.47460i 0.127443 + 0.198306i 0.899112 0.437720i \(-0.144214\pi\)
−0.771668 + 0.636025i \(0.780577\pi\)
\(308\) 8.74102 0.907293i 0.498066 0.0516978i
\(309\) −0.178600 0.608255i −0.0101602 0.0346024i
\(310\) 1.96994 10.2210i 0.111885 0.580514i
\(311\) −23.8740 + 8.26286i −1.35377 + 0.468544i −0.905117 0.425163i \(-0.860217\pi\)
−0.448652 + 0.893707i \(0.648096\pi\)
\(312\) 0.0589712 0.243083i 0.00333859 0.0137618i
\(313\) 11.9823 16.8268i 0.677282 0.951109i −0.322708 0.946499i \(-0.604593\pi\)
0.999989 0.00461027i \(-0.00146750\pi\)
\(314\) 0.839430 0.539469i 0.0473718 0.0304440i
\(315\) −0.870252 + 9.98080i −0.0490331 + 0.562354i
\(316\) −25.8667 + 3.71907i −1.45511 + 0.209214i
\(317\) 24.6957 2.35815i 1.38705 0.132447i 0.625333 0.780358i \(-0.284963\pi\)
0.761716 + 0.647911i \(0.224357\pi\)
\(318\) −0.274287 0.215702i −0.0153813 0.0120960i
\(319\) 3.34676 + 6.49181i 0.187383 + 0.363472i
\(320\) −5.44030 + 15.7187i −0.304122 + 0.878704i
\(321\) 1.02200 0.0570426
\(322\) 4.96069 1.14029i 0.276449 0.0635457i
\(323\) 47.1199 2.62182
\(324\) 0.601503 1.73793i 0.0334168 0.0965516i
\(325\) −0.695056 1.34822i −0.0385548 0.0747858i
\(326\) 4.83252 + 3.80034i 0.267649 + 0.210481i
\(327\) 2.08603 0.199192i 0.115358 0.0110153i
\(328\) 7.71092 1.10866i 0.425765 0.0612157i
\(329\) 6.49303 9.27881i 0.357972 0.511557i
\(330\) 2.30801 1.48327i 0.127052 0.0816513i
\(331\) −14.9993 + 21.0636i −0.824437 + 1.15776i 0.160872 + 0.986975i \(0.448569\pi\)
−0.985308 + 0.170784i \(0.945370\pi\)
\(332\) 6.25910 25.8004i 0.343513 1.41598i
\(333\) −8.83256 + 3.05698i −0.484021 + 0.167521i
\(334\) 0.0218018 0.113119i 0.00119294 0.00618958i
\(335\) 5.30465 + 18.0660i 0.289824 + 0.987049i
\(336\) 3.30288 7.39265i 0.180187 0.403302i
\(337\) −12.3343 19.1925i −0.671892 1.04548i −0.995073 0.0991465i \(-0.968389\pi\)
0.323181 0.946337i \(-0.395248\pi\)
\(338\) 1.22699 + 5.05770i 0.0667392 + 0.275103i
\(339\) −0.722226 0.289136i −0.0392259 0.0157037i
\(340\) −27.6017 38.7611i −1.49691 2.10212i
\(341\) −11.4895 + 4.59972i −0.622194 + 0.249089i
\(342\) 2.32722 + 1.49561i 0.125842 + 0.0808735i
\(343\) 4.77763 17.8934i 0.257968 0.966154i
\(344\) 2.61003i 0.140723i
\(345\) −13.9631 + 11.6117i −0.751749 + 0.625150i
\(346\) −7.20045 4.15718i −0.387099 0.223492i
\(347\) 3.81469 0.735222i 0.204783 0.0394688i −0.0858278 0.996310i \(-0.527353\pi\)
0.290611 + 0.956841i \(0.406141\pi\)
\(348\) 7.42869 + 0.353872i 0.398219 + 0.0189695i
\(349\) 16.0519 + 2.30791i 0.859237 + 0.123540i 0.557829 0.829956i \(-0.311634\pi\)
0.301408 + 0.953495i \(0.402543\pi\)
\(350\) 2.87070 + 9.48725i 0.153445 + 0.507115i
\(351\) −0.0231145 0.160765i −0.00123376 0.00858100i
\(352\) −7.56095 + 1.83427i −0.403000 + 0.0977667i
\(353\) 12.6823 0.604132i 0.675010 0.0321547i 0.292721 0.956198i \(-0.405439\pi\)
0.382288 + 0.924043i \(0.375136\pi\)
\(354\) 2.74716 + 0.262322i 0.146010 + 0.0139423i
\(355\) −42.3232 40.3551i −2.24628 2.14183i
\(356\) 3.75748 4.33636i 0.199146 0.229827i
\(357\) 9.16755 + 15.5812i 0.485198 + 0.824645i
\(358\) −3.31308 + 0.972809i −0.175102 + 0.0514146i
\(359\) 17.8193 + 12.6891i 0.940467 + 0.669703i 0.943879 0.330291i \(-0.107147\pi\)
−0.00341259 + 0.999994i \(0.501086\pi\)
\(360\) −0.277485 5.82513i −0.0146247 0.307011i
\(361\) 20.6666 19.7055i 1.08771 1.03713i
\(362\) 1.53778 1.20932i 0.0808239 0.0635606i
\(363\) 7.03876 + 3.21449i 0.369439 + 0.168717i
\(364\) −0.0440963 0.789054i −0.00231127 0.0413576i
\(365\) −9.28004 + 14.4400i −0.485740 + 0.755826i
\(366\) 3.47364 + 1.20224i 0.181570 + 0.0628419i
\(367\) 14.6346 25.3479i 0.763921 1.32315i −0.176894 0.984230i \(-0.556605\pi\)
0.940815 0.338920i \(-0.110062\pi\)
\(368\) 13.7335 5.17734i 0.715906 0.269888i
\(369\) 4.38070 2.52920i 0.228050 0.131665i
\(370\) −10.7301 + 9.29767i −0.557831 + 0.483363i
\(371\) −2.14351 0.837738i −0.111286 0.0434932i
\(372\) −1.79346 + 12.4738i −0.0929867 + 0.646737i
\(373\) 0.661314 + 6.92559i 0.0342415 + 0.358594i 0.996313 + 0.0857953i \(0.0273431\pi\)
−0.962071 + 0.272798i \(0.912051\pi\)
\(374\) 1.83994 4.59594i 0.0951409 0.237650i
\(375\) −11.3386 11.8915i −0.585521 0.614077i
\(376\) −3.02069 + 5.85932i −0.155780 + 0.302171i
\(377\) 0.597455 0.272848i 0.0307705 0.0140524i
\(378\) −0.0417776 + 1.06053i −0.00214881 + 0.0545477i
\(379\) −27.4623 23.7962i −1.41064 1.22233i −0.940524 0.339728i \(-0.889665\pi\)
−0.470121 0.882602i \(-0.655790\pi\)
\(380\) −47.1564 9.08865i −2.41907 0.466238i
\(381\) −16.0583 3.89571i −0.822692 0.199583i
\(382\) 0.0288603 0.302238i 0.00147662 0.0154639i
\(383\) −3.40840 1.75715i −0.174161 0.0897862i 0.368942 0.929453i \(-0.379720\pi\)
−0.543103 + 0.839666i \(0.682751\pi\)
\(384\) −2.92373 + 9.95731i −0.149201 + 0.508132i
\(385\) 11.7366 13.7720i 0.598151 0.701888i
\(386\) −2.63203 + 5.76334i −0.133967 + 0.293346i
\(387\) −0.629879 1.57336i −0.0320186 0.0799785i
\(388\) −11.0659 + 5.70487i −0.561786 + 0.289621i
\(389\) −2.72226 14.1244i −0.138024 0.716137i −0.983326 0.181849i \(-0.941792\pi\)
0.845302 0.534288i \(-0.179420\pi\)
\(390\) −0.123360 0.213666i −0.00624660 0.0108194i
\(391\) −8.37009 + 31.6824i −0.423293 + 1.60225i
\(392\) −1.35843 + 10.6945i −0.0686113 + 0.540152i
\(393\) −6.84284 7.89706i −0.345176 0.398354i
\(394\) 0.223921 4.70069i 0.0112810 0.236817i
\(395\) −33.2617 + 42.2957i −1.67358 + 2.12813i
\(396\) −2.70565 + 1.92668i −0.135964 + 0.0968195i
\(397\) −22.1177 28.1249i −1.11006 1.41155i −0.901092 0.433627i \(-0.857234\pi\)
−0.208963 0.977924i \(-0.567009\pi\)
\(398\) −1.22109 0.358543i −0.0612075 0.0179722i
\(399\) 17.5479 + 4.99608i 0.878492 + 0.250117i
\(400\) 11.8729 + 25.9981i 0.593647 + 1.29991i
\(401\) −0.290929 + 0.305118i −0.0145283 + 0.0152369i −0.730958 0.682422i \(-0.760927\pi\)
0.716430 + 0.697659i \(0.245775\pi\)
\(402\) 0.652389 + 1.88495i 0.0325382 + 0.0940130i
\(403\) 0.364012 + 1.05174i 0.0181327 + 0.0523910i
\(404\) −8.08300 + 8.47721i −0.402144 + 0.421757i
\(405\) −1.57305 3.44450i −0.0781656 0.171159i
\(406\) −4.16259 + 1.04617i −0.206586 + 0.0519204i
\(407\) 16.1971 + 4.75589i 0.802859 + 0.235741i
\(408\) −6.50490 8.27166i −0.322041 0.409508i
\(409\) 13.7175 9.76817i 0.678285 0.483005i −0.188250 0.982121i \(-0.560281\pi\)
0.866535 + 0.499116i \(0.166342\pi\)
\(410\) 4.74989 6.03998i 0.234580 0.298293i
\(411\) 0.632466 13.2771i 0.0311972 0.654911i
\(412\) 0.763471 + 0.881093i 0.0376135 + 0.0434083i
\(413\) 17.8431 3.59147i 0.878001 0.176725i
\(414\) −1.41901 + 1.29910i −0.0697405 + 0.0638472i
\(415\) −27.3322 47.3408i −1.34169 2.32387i
\(416\) 0.132412 + 0.687019i 0.00649204 + 0.0336839i
\(417\) −18.9870 + 9.78848i −0.929798 + 0.479344i
\(418\) −1.85695 4.63843i −0.0908262 0.226873i
\(419\) 7.46972 16.3564i 0.364920 0.799063i −0.634734 0.772731i \(-0.718890\pi\)
0.999653 0.0263317i \(-0.00838260\pi\)
\(420\) −6.16930 17.3616i −0.301031 0.847157i
\(421\) −7.57503 + 25.7982i −0.369184 + 1.25733i 0.540259 + 0.841499i \(0.318326\pi\)
−0.909443 + 0.415828i \(0.863492\pi\)
\(422\) 1.24729 + 0.643022i 0.0607171 + 0.0313018i
\(423\) −0.406882 + 4.26107i −0.0197833 + 0.207180i
\(424\) 1.30185 + 0.315826i 0.0632236 + 0.0153379i
\(425\) −62.6597 12.0767i −3.03944 0.585805i
\(426\) −4.68195 4.05693i −0.226841 0.196559i
\(427\) 24.2245 + 0.954278i 1.17230 + 0.0461808i
\(428\) −1.70969 + 0.780789i −0.0826409 + 0.0377409i
\(429\) −0.134417 + 0.260733i −0.00648973 + 0.0125883i
\(430\) −1.77655 1.86320i −0.0856730 0.0898512i
\(431\) −5.70175 + 14.2423i −0.274644 + 0.686026i −0.999997 0.00234999i \(-0.999252\pi\)
0.725354 + 0.688376i \(0.241676\pi\)
\(432\) 0.290905 + 3.04650i 0.0139962 + 0.146575i
\(433\) −2.49198 + 17.3321i −0.119757 + 0.832929i 0.838066 + 0.545569i \(0.183686\pi\)
−0.957823 + 0.287359i \(0.907223\pi\)
\(434\) −1.09422 7.19001i −0.0525241 0.345132i
\(435\) 11.5729 10.0280i 0.554879 0.480806i
\(436\) −3.33751 + 1.92691i −0.159838 + 0.0922823i
\(437\) 15.9517 + 28.9710i 0.763075 + 1.38587i
\(438\) −0.909202 + 1.57478i −0.0434434 + 0.0752461i
\(439\) 27.7230 + 9.59502i 1.32315 + 0.457945i 0.895122 0.445822i \(-0.147088\pi\)
0.428025 + 0.903767i \(0.359210\pi\)
\(440\) −5.69438 + 8.86063i −0.271469 + 0.422414i
\(441\) 1.76202 + 6.77461i 0.0839056 + 0.322600i
\(442\) −0.404962 0.184940i −0.0192621 0.00879670i
\(443\) −15.3116 + 12.0412i −0.727478 + 0.572095i −0.911733 0.410783i \(-0.865255\pi\)
0.184255 + 0.982879i \(0.441013\pi\)
\(444\) 12.4404 11.8619i 0.590394 0.562939i
\(445\) −0.562147 11.8009i −0.0266483 0.559418i
\(446\) 2.03938 + 1.45223i 0.0965673 + 0.0687653i
\(447\) 11.3790 3.34118i 0.538208 0.158032i
\(448\) 0.0956127 + 11.6214i 0.00451727 + 0.549060i
\(449\) −3.92480 + 4.52946i −0.185223 + 0.213759i −0.840765 0.541400i \(-0.817895\pi\)
0.655542 + 0.755158i \(0.272440\pi\)
\(450\) −2.71140 2.58531i −0.127817 0.121873i
\(451\) −9.09457 0.868426i −0.428246 0.0408926i
\(452\) 1.42909 0.0680761i 0.0672189 0.00320203i
\(453\) 0.598385 0.145167i 0.0281146 0.00682052i
\(454\) 0.964609 + 6.70900i 0.0452713 + 0.314869i
\(455\) −1.18687 1.11318i −0.0556412 0.0521867i
\(456\) −10.5122 1.51143i −0.492279 0.0707791i
\(457\) 17.6380 + 0.840203i 0.825072 + 0.0393030i 0.455870 0.890046i \(-0.349328\pi\)
0.369202 + 0.929349i \(0.379631\pi\)
\(458\) 1.67158 0.322171i 0.0781078 0.0150541i
\(459\) −5.91745 3.41644i −0.276203 0.159466i
\(460\) 14.4876 30.0925i 0.675487 1.40307i
\(461\) 15.4990i 0.721862i −0.932593 0.360931i \(-0.882459\pi\)
0.932593 0.360931i \(-0.117541\pi\)
\(462\) 1.17251 1.51648i 0.0545502 0.0705531i
\(463\) −5.09523 3.27450i −0.236795 0.152179i 0.416862 0.908970i \(-0.363130\pi\)
−0.653657 + 0.756791i \(0.726766\pi\)
\(464\) −11.4894 + 4.59965i −0.533381 + 0.213533i
\(465\) 15.0513 + 21.1366i 0.697987 + 0.980186i
\(466\) 0.169123 + 0.0677064i 0.00783445 + 0.00313644i
\(467\) 6.34391 + 26.1499i 0.293561 + 1.21007i 0.907272 + 0.420544i \(0.138161\pi\)
−0.613711 + 0.789531i \(0.710324\pi\)
\(468\) 0.161489 + 0.251282i 0.00746484 + 0.0116155i
\(469\) 7.71885 + 10.6530i 0.356423 + 0.491911i
\(470\) 1.83188 + 6.23881i 0.0844983 + 0.287775i
\(471\) −0.470746 + 2.44246i −0.0216908 + 0.112543i
\(472\) −10.0118 + 3.46513i −0.460833 + 0.159496i
\(473\) −0.721634 + 2.97461i −0.0331808 + 0.136773i
\(474\) −3.30647 + 4.64329i −0.151871 + 0.213273i
\(475\) −54.1791 + 34.8188i −2.48591 + 1.59760i
\(476\) −27.2400 19.0617i −1.24854 0.873692i
\(477\) 0.860994 0.123792i 0.0394222 0.00566806i
\(478\) −6.72642 + 0.642295i −0.307659 + 0.0293779i
\(479\) −7.51296 5.90826i −0.343276 0.269955i 0.431605 0.902063i \(-0.357948\pi\)
−0.774880 + 0.632108i \(0.782190\pi\)
\(480\) 7.47472 + 14.4989i 0.341173 + 0.661783i
\(481\) 0.496509 1.43457i 0.0226389 0.0654107i
\(482\) 7.54748 0.343778
\(483\) −6.47635 + 10.9113i −0.294684 + 0.496482i
\(484\) −14.2308 −0.646856
\(485\) −8.38425 + 24.2247i −0.380709 + 1.09999i
\(486\) −0.183819 0.356559i −0.00833820 0.0161738i
\(487\) 8.63732 + 6.79247i 0.391394 + 0.307796i 0.794392 0.607405i \(-0.207789\pi\)
−0.402998 + 0.915201i \(0.632032\pi\)
\(488\) −14.0478 + 1.34140i −0.635913 + 0.0607224i
\(489\) −15.1694 + 2.18103i −0.685985 + 0.0986297i
\(490\) 6.30961 + 8.55899i 0.285039 + 0.386656i
\(491\) 33.6417 21.6202i 1.51823 0.975705i 0.526107 0.850418i \(-0.323651\pi\)
0.992121 0.125287i \(-0.0399852\pi\)
\(492\) −5.39614 + 7.57782i −0.243277 + 0.341634i
\(493\) 6.51443 26.8529i 0.293395 1.20939i
\(494\) −0.424597 + 0.146955i −0.0191035 + 0.00661180i
\(495\) −1.29431 + 6.71554i −0.0581751 + 0.301841i
\(496\) −5.90815 20.1213i −0.265284 0.903473i
\(497\) −37.3051 16.6671i −1.67336 0.747622i
\(498\) −3.13085 4.87170i −0.140297 0.218306i
\(499\) 2.03771 + 8.39956i 0.0912205 + 0.376016i 0.999062 0.0432969i \(-0.0137861\pi\)
−0.907842 + 0.419313i \(0.862271\pi\)
\(500\) 28.0530 + 11.2307i 1.25457 + 0.502253i
\(501\) 0.166577 + 0.233925i 0.00744211 + 0.0104510i
\(502\) 7.69911 3.08226i 0.343628 0.137568i
\(503\) −9.92773 6.38016i −0.442656 0.284477i 0.300267 0.953855i \(-0.402924\pi\)
−0.742922 + 0.669378i \(0.766561\pi\)
\(504\) −1.54545 3.77015i −0.0688397 0.167936i
\(505\) 24.1176i 1.07322i
\(506\) 3.44863 0.424628i 0.153310 0.0188770i
\(507\) −11.2355 6.48681i −0.498985 0.288089i
\(508\) 29.8399 5.75117i 1.32393 0.255167i
\(509\) 28.1821 + 1.34248i 1.24915 + 0.0595043i 0.661708 0.749762i \(-0.269832\pi\)
0.587442 + 0.809266i \(0.300135\pi\)
\(510\) −10.2738 1.47715i −0.454932 0.0654094i
\(511\) −2.73149 + 11.6778i −0.120834 + 0.516598i
\(512\) −3.21768 22.3795i −0.142203 0.989041i
\(513\) −6.70166 + 1.62581i −0.295886 + 0.0717810i
\(514\) −0.0640209 + 0.00304969i −0.00282384 + 0.000134516i
\(515\) 2.38965 + 0.228184i 0.105300 + 0.0100550i
\(516\) 2.25573 + 2.15083i 0.0993030 + 0.0946852i
\(517\) 5.06265 5.84262i 0.222655 0.256958i
\(518\) −4.88918 + 8.63152i −0.214818 + 0.379247i
\(519\) 19.8866 5.83924i 0.872926 0.256314i
\(520\) 0.771550 + 0.549418i 0.0338347 + 0.0240936i
\(521\) 1.47096 + 30.8793i 0.0644440 + 1.35285i 0.767197 + 0.641412i \(0.221651\pi\)
−0.702753 + 0.711434i \(0.748046\pi\)
\(522\) 1.17407 1.11947i 0.0513876 0.0489980i
\(523\) 11.4008 8.96567i 0.498521 0.392042i −0.336996 0.941506i \(-0.609411\pi\)
0.835517 + 0.549465i \(0.185168\pi\)
\(524\) 17.4805 + 7.98306i 0.763638 + 0.348742i
\(525\) −22.0546 11.1412i −0.962540 0.486242i
\(526\) 4.42520 6.88574i 0.192948 0.300233i
\(527\) 44.2465 + 15.3139i 1.92741 + 0.667082i
\(528\) 2.76364 4.78677i 0.120272 0.208317i
\(529\) −22.3130 + 5.57936i −0.970131 + 0.242581i
\(530\) 1.14431 0.660669i 0.0497058 0.0286976i
\(531\) −5.19904 + 4.50499i −0.225619 + 0.195500i
\(532\) −33.1724 + 5.04837i −1.43821 + 0.218874i
\(533\) −0.116922 + 0.813213i −0.00506447 + 0.0352242i
\(534\) −0.118970 1.24591i −0.00514833 0.0539158i
\(535\) −1.43834 + 3.59280i −0.0621848 + 0.155330i
\(536\) −5.28438 5.54210i −0.228251 0.239382i
\(537\) 3.94422 7.65071i 0.170206 0.330153i
\(538\) 2.83701 1.29562i 0.122312 0.0558582i
\(539\) 4.50505 11.8128i 0.194046 0.508811i
\(540\) 5.26306 + 4.56047i 0.226486 + 0.196251i
\(541\) −0.490062 0.0944518i −0.0210694 0.00406080i 0.178706 0.983903i \(-0.442809\pi\)
−0.199775 + 0.979842i \(0.564021\pi\)
\(542\) −8.36026 2.02818i −0.359104 0.0871176i
\(543\) −0.463566 + 4.85468i −0.0198935 + 0.208334i
\(544\) 26.1625 + 13.4877i 1.12171 + 0.578281i
\(545\) −2.23558 + 7.61368i −0.0957617 + 0.326134i
\(546\) −0.131203 0.111811i −0.00561495 0.00478507i
\(547\) −6.91641 + 15.1448i −0.295724 + 0.647546i −0.997922 0.0644365i \(-0.979475\pi\)
0.702198 + 0.711982i \(0.252202\pi\)
\(548\) 9.08539 + 22.6942i 0.388109 + 0.969449i
\(549\) −8.14448 + 4.19877i −0.347598 + 0.179199i
\(550\) 1.28054 + 6.64408i 0.0546024 + 0.283304i
\(551\) −13.9436 24.1510i −0.594017 1.02887i
\(552\) 2.88357 6.79969i 0.122733 0.289414i
\(553\) −12.0035 + 35.6275i −0.510441 + 1.51504i
\(554\) 2.76971 + 3.19642i 0.117674 + 0.135803i
\(555\) 1.68406 35.3527i 0.0714843 1.50064i
\(556\) 24.2848 30.8807i 1.02991 1.30963i
\(557\) 20.9734 14.9351i 0.888670 0.632819i −0.0418247 0.999125i \(-0.513317\pi\)
0.930494 + 0.366306i \(0.119378\pi\)
\(558\) 1.69923 + 2.16075i 0.0719342 + 0.0914718i
\(559\) 0.264110 + 0.0775497i 0.0111707 + 0.00328000i
\(560\) 21.3401 + 22.0153i 0.901785 + 0.930318i
\(561\) 5.12656 + 11.2256i 0.216444 + 0.473946i
\(562\) 3.69824 3.87860i 0.156001 0.163609i
\(563\) −11.6853 33.7625i −0.492477 1.42292i −0.868213 0.496192i \(-0.834731\pi\)
0.375735 0.926727i \(-0.377390\pi\)
\(564\) −2.57470 7.43911i −0.108415 0.313243i
\(565\) 2.03288 2.13203i 0.0855241 0.0896951i
\(566\) −3.43831 7.52884i −0.144523 0.316461i
\(567\) −1.84147 1.89973i −0.0773344 0.0797814i
\(568\) 22.8201 + 6.70059i 0.957510 + 0.281150i
\(569\) −22.3475 28.4172i −0.936858 1.19131i −0.981336 0.192301i \(-0.938405\pi\)
0.0444783 0.999010i \(-0.485837\pi\)
\(570\) −8.53302 + 6.07634i −0.357409 + 0.254510i
\(571\) −15.4439 + 19.6385i −0.646308 + 0.821848i −0.993244 0.116041i \(-0.962980\pi\)
0.346936 + 0.937889i \(0.387222\pi\)
\(572\) 0.0256695 0.538868i 0.00107329 0.0225312i
\(573\) 0.495632 + 0.571990i 0.0207053 + 0.0238952i
\(574\) 1.71414 5.08773i 0.0715469 0.212358i
\(575\) −13.7873 42.6138i −0.574972 1.77712i
\(576\) −2.19631 3.80413i −0.0915131 0.158505i
\(577\) 2.43525 + 12.6353i 0.101381 + 0.526013i 0.996741 + 0.0806701i \(0.0257060\pi\)
−0.895360 + 0.445343i \(0.853082\pi\)
\(578\) −10.5856 + 5.45727i −0.440304 + 0.226993i
\(579\) −5.87013 14.6629i −0.243954 0.609368i
\(580\) −11.6990 + 25.6171i −0.485773 + 1.06369i
\(581\) −29.0698 24.7733i −1.20602 1.02777i
\(582\) −0.765090 + 2.60566i −0.0317140 + 0.108008i
\(583\) −1.39638 0.719886i −0.0578323 0.0298146i
\(584\) 0.663586 6.94938i 0.0274594 0.287568i
\(585\) 0.597692 + 0.144999i 0.0247115 + 0.00599495i
\(586\) −7.38153 1.42267i −0.304928 0.0587701i
\(587\) −0.578787 0.501522i −0.0238891 0.0207000i 0.642834 0.766005i \(-0.277758\pi\)
−0.666723 + 0.745305i \(0.732304\pi\)
\(588\) −8.12331 9.98698i −0.335000 0.411856i
\(589\) 42.9842 19.6302i 1.77113 0.808849i
\(590\) −4.78846 + 9.28832i −0.197138 + 0.382394i
\(591\) 8.09548 + 8.49029i 0.333003 + 0.349244i
\(592\) −10.6310 + 26.5550i −0.436932 + 1.09140i
\(593\) −1.03789 10.8693i −0.0426210 0.446347i −0.991443 0.130537i \(-0.958330\pi\)
0.948822 0.315810i \(-0.102276\pi\)
\(594\) −0.103110 + 0.717145i −0.00423065 + 0.0294248i
\(595\) −67.6771 + 10.2995i −2.77449 + 0.422238i
\(596\) −16.4831 + 14.2827i −0.675176 + 0.585043i
\(597\) 2.74742 1.58622i 0.112444 0.0649198i
\(598\) −0.0233861 0.311594i −0.000956331 0.0127420i
\(599\) −10.7948 + 18.6972i −0.441065 + 0.763947i −0.997769 0.0667640i \(-0.978733\pi\)
0.556704 + 0.830711i \(0.312066\pi\)
\(600\) 13.5917 + 4.70413i 0.554878 + 0.192045i
\(601\) 5.09209 7.92345i 0.207711 0.323204i −0.721731 0.692174i \(-0.756653\pi\)
0.929441 + 0.368970i \(0.120289\pi\)
\(602\) −1.60551 0.811048i −0.0654356 0.0330558i
\(603\) −4.52298 2.06557i −0.184190 0.0841167i
\(604\) −0.890124 + 0.700001i −0.0362186 + 0.0284826i
\(605\) −21.2066 + 20.2204i −0.862169 + 0.822076i
\(606\) 0.121570 + 2.55207i 0.00493844 + 0.103671i
\(607\) 28.9338 + 20.6037i 1.17439 + 0.836277i 0.989221 0.146430i \(-0.0467784\pi\)
0.185166 + 0.982707i \(0.440718\pi\)
\(608\) 28.5034 8.36934i 1.15596 0.339422i
\(609\) 5.27322 9.30952i 0.213682 0.377241i
\(610\) −9.11511 + 10.5194i −0.369060 + 0.425918i
\(611\) −0.503156 0.479759i −0.0203555 0.0194090i
\(612\) 12.5093 + 1.19449i 0.505658 + 0.0482845i
\(613\) 27.5440 1.31208i 1.11249 0.0529945i 0.516725 0.856152i \(-0.327151\pi\)
0.595767 + 0.803157i \(0.296848\pi\)
\(614\) −1.61016 + 0.390621i −0.0649808 + 0.0157642i
\(615\) 2.72599 + 18.9597i 0.109922 + 0.764527i
\(616\) −1.67608 + 7.16571i −0.0675313 + 0.288715i
\(617\) 28.7262 + 4.13020i 1.15647 + 0.166276i 0.693742 0.720223i \(-0.255961\pi\)
0.462730 + 0.886499i \(0.346870\pi\)
\(618\) 0.254017 + 0.0121003i 0.0102180 + 0.000486745i
\(619\) 12.3568 2.38158i 0.496663 0.0957239i 0.0652323 0.997870i \(-0.479221\pi\)
0.431430 + 0.902146i \(0.358009\pi\)
\(620\) −41.3270 23.8601i −1.65973 0.958246i
\(621\) 0.0972861 4.79484i 0.00390396 0.192410i
\(622\) 10.1345i 0.406357i
\(623\) −3.13087 7.63781i −0.125436 0.306003i
\(624\) −0.418151 0.268730i −0.0167394 0.0107578i
\(625\) 14.4112 5.76937i 0.576448 0.230775i
\(626\) 4.80675 + 6.75014i 0.192116 + 0.269790i
\(627\) 11.5627 + 4.62902i 0.461771 + 0.184865i
\(628\) −1.07849 4.44559i −0.0430364 0.177398i
\(629\) −34.5277 53.7261i −1.37671 2.14220i
\(630\) −3.66944 1.63943i −0.146194 0.0653163i
\(631\) 7.96011 + 27.1096i 0.316887 + 1.07922i 0.951822 + 0.306652i \(0.0992087\pi\)
−0.634935 + 0.772566i \(0.718973\pi\)
\(632\) 4.14152 21.4882i 0.164741 0.854756i
\(633\) −3.30573 + 1.14413i −0.131391 + 0.0454749i
\(634\) −2.34623 + 9.67130i −0.0931807 + 0.384096i
\(635\) 36.2952 50.9695i 1.44033 2.02266i
\(636\) −1.34577 + 0.864872i −0.0533632 + 0.0342944i
\(637\) −1.04182 0.455217i −0.0412783 0.0180364i
\(638\) −2.90009 + 0.416970i −0.114816 + 0.0165080i
\(639\) 15.3733 1.46797i 0.608159 0.0580722i
\(640\) −30.8897 24.2919i −1.22102 0.960222i
\(641\) −1.32709 2.57419i −0.0524168 0.101674i 0.861172 0.508314i \(-0.169731\pi\)
−0.913589 + 0.406639i \(0.866701\pi\)
\(642\) −0.134091 + 0.387431i −0.00529215 + 0.0152907i
\(643\) 28.2026 1.11220 0.556102 0.831114i \(-0.312296\pi\)
0.556102 + 0.831114i \(0.312296\pi\)
\(644\) 2.49814 23.2012i 0.0984403 0.914254i
\(645\) 6.41755 0.252691
\(646\) −6.18233 + 17.8627i −0.243241 + 0.702798i
\(647\) −1.48850 2.88729i −0.0585190 0.113511i 0.857762 0.514047i \(-0.171854\pi\)
−0.916281 + 0.400536i \(0.868824\pi\)
\(648\) 1.21057 + 0.952000i 0.0475555 + 0.0373981i
\(649\) 12.3684 1.18104i 0.485503 0.0463599i
\(650\) 0.602291 0.0865964i 0.0236238 0.00339659i
\(651\) 14.8541 + 10.3944i 0.582177 + 0.407390i
\(652\) 23.7104 15.2377i 0.928570 0.596756i
\(653\) 0.621935 0.873385i 0.0243382 0.0341782i −0.802228 0.597018i \(-0.796352\pi\)
0.826566 + 0.562840i \(0.190291\pi\)
\(654\) −0.198185 + 0.816929i −0.00774964 + 0.0319444i
\(655\) 37.3921 12.9415i 1.46103 0.505668i
\(656\) 2.92970 15.2007i 0.114386 0.593489i
\(657\) −1.27708 4.34933i −0.0498236 0.169683i
\(658\) 2.66559 + 3.67886i 0.103915 + 0.143417i
\(659\) 8.34436 + 12.9841i 0.325050 + 0.505788i 0.964867 0.262740i \(-0.0846260\pi\)
−0.639817 + 0.768528i \(0.720990\pi\)
\(660\) −2.96530 12.2231i −0.115424 0.475785i
\(661\) 0.778775 + 0.311774i 0.0302908 + 0.0121266i 0.386758 0.922181i \(-0.373595\pi\)
−0.356468 + 0.934308i \(0.616019\pi\)
\(662\) −6.01702 8.44972i −0.233858 0.328408i
\(663\) 1.03029 0.412465i 0.0400131 0.0160188i
\(664\) 18.7028 + 12.0196i 0.725811 + 0.466451i
\(665\) −42.2599 + 54.6573i −1.63877 + 2.11952i
\(666\) 3.74942i 0.145287i
\(667\) 18.7155 5.08533i 0.724666 0.196905i
\(668\) −0.457378 0.264067i −0.0176965 0.0102171i
\(669\) −6.12824 + 1.18112i −0.236932 + 0.0456648i
\(670\) −7.54462 0.359394i −0.291474 0.0138846i
\(671\) 16.3809 + 2.35522i 0.632379 + 0.0909224i
\(672\) 8.31306 + 7.79693i 0.320683 + 0.300773i
\(673\) −0.242608 1.68737i −0.00935184 0.0650435i 0.984611 0.174760i \(-0.0559149\pi\)
−0.993963 + 0.109716i \(0.965006\pi\)
\(674\) 8.89401 2.15766i 0.342584 0.0831100i
\(675\) 9.32851 0.444372i 0.359055 0.0171039i
\(676\) 23.7514 + 2.26799i 0.913517 + 0.0872303i
\(677\) −13.6783 13.0422i −0.525700 0.501254i 0.380108 0.924942i \(-0.375887\pi\)
−0.905808 + 0.423688i \(0.860735\pi\)
\(678\) 0.204368 0.235853i 0.00784869 0.00905787i
\(679\) 0.147352 + 17.9102i 0.00565486 + 0.687329i
\(680\) 38.2334 11.2264i 1.46619 0.430511i
\(681\) −13.7633 9.80080i −0.527411 0.375568i
\(682\) −0.236230 4.95907i −0.00904570 0.189893i
\(683\) −5.74467 + 5.47753i −0.219814 + 0.209592i −0.791982 0.610544i \(-0.790951\pi\)
0.572169 + 0.820136i \(0.306102\pi\)
\(684\) 9.96901 7.83971i 0.381175 0.299759i
\(685\) 45.7848 + 20.9092i 1.74935 + 0.798901i
\(686\) 6.15637 + 4.15884i 0.235051 + 0.158785i
\(687\) −2.29428 + 3.56997i −0.0875322 + 0.136203i
\(688\) −4.90131 1.69636i −0.186861 0.0646731i
\(689\) −0.0706396 + 0.122351i −0.00269115 + 0.00466122i
\(690\) −2.56984 6.81677i −0.0978321 0.259510i
\(691\) −34.6267 + 19.9917i −1.31726 + 0.760520i −0.983287 0.182062i \(-0.941723\pi\)
−0.333973 + 0.942583i \(0.608389\pi\)
\(692\) −28.8069 + 24.9613i −1.09507 + 0.948887i
\(693\) 0.718937 + 4.72408i 0.0273102 + 0.179453i
\(694\) −0.221789 + 1.54258i −0.00841899 + 0.0585554i
\(695\) −7.68910 80.5239i −0.291664 3.05445i
\(696\) −2.31467 + 5.78178i −0.0877375 + 0.219158i
\(697\) 23.8515 + 25.0147i 0.903440 + 0.947500i
\(698\) −2.98098 + 5.78230i −0.112832 + 0.218863i
\(699\) −0.413083 + 0.188649i −0.0156242 + 0.00713534i
\(700\) 45.4063 + 1.78870i 1.71620 + 0.0676065i
\(701\) 10.8189 + 9.37465i 0.408625 + 0.354076i 0.834789 0.550570i \(-0.185590\pi\)
−0.426164 + 0.904646i \(0.640135\pi\)
\(702\) 0.0639771 + 0.0123306i 0.00241466 + 0.000465388i
\(703\) −62.6379 15.1958i −2.36243 0.573120i
\(704\) −0.754127 + 7.89757i −0.0284222 + 0.297651i
\(705\) −14.4069 7.42729i −0.542596 0.279728i
\(706\) −1.43495 + 4.88699i −0.0540050 + 0.183924i
\(707\) 5.64221 + 15.8782i 0.212197 + 0.597162i
\(708\) 5.25566 11.5083i 0.197520 0.432508i
\(709\) −13.5621 33.8764i −0.509335 1.27226i −0.930839 0.365430i \(-0.880922\pi\)
0.421504 0.906826i \(-0.361502\pi\)
\(710\) 20.8512 10.7495i 0.782532 0.403423i
\(711\) −2.68920 13.9529i −0.100853 0.523274i
\(712\) 2.40245 + 4.16116i 0.0900356 + 0.155946i
\(713\) 5.56348 + 32.3886i 0.208354 + 1.21296i
\(714\) −7.10950 + 1.43100i −0.266066 + 0.0535540i
\(715\) −0.727419 0.839486i −0.0272039 0.0313950i
\(716\) −0.753221 + 15.8121i −0.0281492 + 0.590924i
\(717\) 10.4123 13.2403i 0.388853 0.494467i
\(718\) −7.14826 + 5.09026i −0.266771 + 0.189967i
\(719\) 19.9062 + 25.3127i 0.742374 + 0.944006i 0.999751 0.0223052i \(-0.00710056\pi\)
−0.257377 + 0.966311i \(0.582858\pi\)
\(720\) −11.1192 3.26490i −0.414389 0.121676i
\(721\) 1.62665 0.408819i 0.0605794 0.0152252i
\(722\) 4.75863 + 10.4199i 0.177098 + 0.387790i
\(723\) −12.9835 + 13.6167i −0.482860 + 0.506409i
\(724\) −2.93339 8.47547i −0.109019 0.314988i
\(725\) 12.3523 + 35.6896i 0.458752 + 1.32548i
\(726\) −2.14210 + 2.24657i −0.0795007 + 0.0833779i
\(727\) 13.7950 + 30.2069i 0.511629 + 1.12031i 0.972513 + 0.232850i \(0.0748052\pi\)
−0.460884 + 0.887460i \(0.652468\pi\)
\(728\) 0.636496 + 0.181218i 0.0235901 + 0.00671637i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −4.25649 5.41257i −0.157540 0.200328i
\(731\) 9.43287 6.71712i 0.348887 0.248442i
\(732\) 10.4170 13.2463i 0.385023 0.489596i
\(733\) −0.306514 + 6.43451i −0.0113213 + 0.237664i 0.986113 + 0.166076i \(0.0531097\pi\)
−0.997434 + 0.0715881i \(0.977193\pi\)
\(734\) 7.68901 + 8.87359i 0.283807 + 0.327530i
\(735\) −26.2956 3.34012i −0.969928 0.123202i
\(736\) 0.564199 + 20.6517i 0.0207966 + 0.761232i
\(737\) 4.49023 + 7.77731i 0.165400 + 0.286481i
\(738\) 0.384027 + 1.99252i 0.0141362 + 0.0733457i
\(739\) 48.0268 24.7595i 1.76670 0.910795i 0.832507 0.554014i \(-0.186905\pi\)
0.934188 0.356780i \(-0.116126\pi\)
\(740\) 24.1916 + 60.4276i 0.889299 + 2.22136i
\(741\) 0.465283 1.01883i 0.0170926 0.0374276i
\(742\) 0.598816 0.702669i 0.0219832 0.0257958i
\(743\) 3.07578 10.4751i 0.112839 0.384296i −0.883637 0.468173i \(-0.844912\pi\)
0.996476 + 0.0838776i \(0.0267305\pi\)
\(744\) −9.37995 4.83570i −0.343886 0.177285i
\(745\) −4.26877 + 44.7046i −0.156396 + 1.63785i
\(746\) −2.71219 0.657970i −0.0993003 0.0240900i
\(747\) 14.1750 + 2.73201i 0.518637 + 0.0999591i
\(748\) −17.1523 14.8625i −0.627149 0.543428i
\(749\) −0.106435 + 2.70187i −0.00388905 + 0.0987241i
\(750\) 5.99563 2.73811i 0.218930 0.0999818i
\(751\) 13.2055 25.6151i 0.481876 0.934709i −0.515110 0.857124i \(-0.672249\pi\)
0.996986 0.0775845i \(-0.0247208\pi\)
\(752\) 9.03982 + 9.48069i 0.329648 + 0.345725i
\(753\) −7.68350 + 19.1925i −0.280002 + 0.699412i
\(754\) 0.0250455 + 0.262288i 0.000912102 + 0.00955197i
\(755\) −0.331825 + 2.30790i −0.0120764 + 0.0839930i
\(756\) 4.53192 + 1.77119i 0.164824 + 0.0644175i
\(757\) −7.33942 + 6.35965i −0.266756 + 0.231145i −0.777960 0.628314i \(-0.783745\pi\)
0.511204 + 0.859460i \(0.329200\pi\)
\(758\) 12.6241 7.28852i 0.458527 0.264731i
\(759\) −5.16638 + 6.95226i −0.187528 + 0.252351i
\(760\) 20.1080 34.8280i 0.729392 1.26334i
\(761\) 46.9011 + 16.2326i 1.70016 + 0.588432i 0.992946 0.118564i \(-0.0378292\pi\)
0.707217 + 0.706997i \(0.249950\pi\)
\(762\) 3.58374 5.57641i 0.129825 0.202012i
\(763\) 0.309357 + 5.53559i 0.0111995 + 0.200402i
\(764\) −1.26612 0.578219i −0.0458068 0.0209192i
\(765\) 20.3384 15.9943i 0.735336 0.578275i
\(766\) 1.11331 1.06154i 0.0402257 0.0383551i
\(767\) −0.0531645 1.11606i −0.00191966 0.0402986i
\(768\) 3.76515 + 2.68115i 0.135863 + 0.0967476i
\(769\) −8.95605 + 2.62973i −0.322963 + 0.0948306i −0.439196 0.898391i \(-0.644736\pi\)
0.116232 + 0.993222i \(0.462918\pi\)
\(770\) 3.68095 + 6.25616i 0.132652 + 0.225456i
\(771\) 0.104629 0.120748i 0.00376813 0.00434865i
\(772\) 21.0222 + 20.0446i 0.756604 + 0.721421i
\(773\) 6.05920 +