Properties

Label 280.2.ba.b.19.11
Level $280$
Weight $2$
Character 280.19
Analytic conductor $2.236$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 19.11
Character \(\chi\) \(=\) 280.19
Dual form 280.2.ba.b.59.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.02807 + 0.971124i) q^{2} +(1.39824 + 2.42182i) q^{3} +(0.113837 - 1.99676i) q^{4} +(2.07888 - 0.823569i) q^{5} +(-3.78937 - 1.13193i) q^{6} +(-2.32367 - 1.26513i) q^{7} +(1.82207 + 2.16335i) q^{8} +(-2.41015 + 4.17451i) q^{9} +O(q^{10})\) \(q+(-1.02807 + 0.971124i) q^{2} +(1.39824 + 2.42182i) q^{3} +(0.113837 - 1.99676i) q^{4} +(2.07888 - 0.823569i) q^{5} +(-3.78937 - 1.13193i) q^{6} +(-2.32367 - 1.26513i) q^{7} +(1.82207 + 2.16335i) q^{8} +(-2.41015 + 4.17451i) q^{9} +(-1.33744 + 2.86553i) q^{10} +(2.81429 + 4.87449i) q^{11} +(4.99497 - 2.51625i) q^{12} +3.09140i q^{13} +(3.61748 - 0.955943i) q^{14} +(4.90131 + 3.88313i) q^{15} +(-3.97408 - 0.454611i) q^{16} +(-1.34123 - 2.32308i) q^{17} +(-1.57617 - 6.63222i) q^{18} +(0.00896628 + 0.00517669i) q^{19} +(-1.40781 - 4.24477i) q^{20} +(-0.185144 - 7.39648i) q^{21} +(-7.62701 - 2.27827i) q^{22} +(-1.25202 + 2.16856i) q^{23} +(-2.69156 + 7.43760i) q^{24} +(3.64347 - 3.42420i) q^{25} +(-3.00214 - 3.17817i) q^{26} -5.09045 q^{27} +(-2.79067 + 4.49579i) q^{28} -7.20373i q^{29} +(-8.80987 + 0.767667i) q^{30} +(2.49620 + 4.32355i) q^{31} +(4.52710 - 3.39196i) q^{32} +(-7.87010 + 13.6314i) q^{33} +(3.63486 + 1.08578i) q^{34} +(-5.87255 - 0.716337i) q^{35} +(8.06111 + 5.28770i) q^{36} +(-0.224770 + 0.389313i) q^{37} +(-0.0142451 + 0.00338540i) q^{38} +(-7.48684 + 4.32253i) q^{39} +(5.56952 + 2.99674i) q^{40} -10.6661i q^{41} +(7.37323 + 7.42426i) q^{42} -9.44007i q^{43} +(10.0535 - 5.06455i) q^{44} +(-1.57242 + 10.6632i) q^{45} +(-0.818781 - 3.44528i) q^{46} +(1.23879 + 0.715215i) q^{47} +(-4.45573 - 10.2602i) q^{48} +(3.79892 + 5.87948i) q^{49} +(-0.420406 + 7.05856i) q^{50} +(3.75072 - 6.49644i) q^{51} +(6.17279 + 0.351917i) q^{52} +(-2.17123 - 3.76068i) q^{53} +(5.23331 - 4.94345i) q^{54} +(9.86504 + 7.81571i) q^{55} +(-1.49698 - 7.33206i) q^{56} +0.0289530i q^{57} +(6.99571 + 7.40590i) q^{58} +(0.320832 - 0.185233i) q^{59} +(8.31162 - 9.34468i) q^{60} +(-2.24283 + 3.88469i) q^{61} +(-6.76496 - 2.02077i) q^{62} +(10.8817 - 6.65104i) q^{63} +(-1.36015 + 7.88353i) q^{64} +(2.54598 + 6.42665i) q^{65} +(-5.14681 - 21.6568i) q^{66} +(-4.32212 + 2.49538i) q^{67} +(-4.79130 + 2.41366i) q^{68} -7.00248 q^{69} +(6.73302 - 4.96653i) q^{70} -9.31593i q^{71} +(-13.4224 + 2.39223i) q^{72} +(-4.50169 - 7.79716i) q^{73} +(-0.146993 - 0.618518i) q^{74} +(13.3872 + 4.03599i) q^{75} +(0.0113573 - 0.0173142i) q^{76} +(-0.372646 - 14.8872i) q^{77} +(3.49925 - 11.7145i) q^{78} +(4.69042 + 2.70802i) q^{79} +(-8.63604 + 2.32785i) q^{80} +(0.112790 + 0.195358i) q^{81} +(10.3581 + 10.9655i) q^{82} +11.3308 q^{83} +(-14.7900 - 0.472307i) q^{84} +(-4.70146 - 3.72480i) q^{85} +(9.16747 + 9.70501i) q^{86} +(17.4462 - 10.0725i) q^{87} +(-5.41740 + 14.9699i) q^{88} +(0.909465 + 0.525080i) q^{89} +(-8.73875 - 12.4895i) q^{90} +(3.91101 - 7.18342i) q^{91} +(4.18755 + 2.74684i) q^{92} +(-6.98059 + 12.0907i) q^{93} +(-1.96812 + 0.467729i) q^{94} +(0.0229032 + 0.00337735i) q^{95} +(14.5447 + 6.22107i) q^{96} +6.06940 q^{97} +(-9.61523 - 2.35527i) q^{98} -27.1315 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 6q^{4} - 52q^{9} + O(q^{10}) \) \( 80q + 6q^{4} - 52q^{9} - 12q^{10} - 6q^{14} + 10q^{16} - 48q^{19} + 12q^{24} - 22q^{25} + 54q^{26} - 20q^{30} - 22q^{35} + 28q^{36} + 12q^{40} + 38q^{44} + 14q^{46} + 16q^{49} - 40q^{50} + 20q^{51} + 60q^{54} - 104q^{56} - 60q^{59} - 42q^{60} - 60q^{64} - 12q^{65} + 84q^{66} - 22q^{70} + 34q^{74} - 6q^{75} - 96q^{80} - 100q^{84} - 8q^{86} - 36q^{89} + 72q^{91} - 66q^{94} + 96q^{96} + 104q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(-1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.02807 + 0.971124i −0.726952 + 0.686688i
\(3\) 1.39824 + 2.42182i 0.807274 + 1.39824i 0.914745 + 0.404032i \(0.132392\pi\)
−0.107470 + 0.994208i \(0.534275\pi\)
\(4\) 0.113837 1.99676i 0.0569187 0.998379i
\(5\) 2.07888 0.823569i 0.929703 0.368311i
\(6\) −3.78937 1.13193i −1.54700 0.462108i
\(7\) −2.32367 1.26513i −0.878266 0.478172i
\(8\) 1.82207 + 2.16335i 0.644198 + 0.764859i
\(9\) −2.41015 + 4.17451i −0.803384 + 1.39150i
\(10\) −1.33744 + 2.86553i −0.422934 + 0.906160i
\(11\) 2.81429 + 4.87449i 0.848540 + 1.46971i 0.882511 + 0.470292i \(0.155851\pi\)
−0.0339711 + 0.999423i \(0.510815\pi\)
\(12\) 4.99497 2.51625i 1.44192 0.726380i
\(13\) 3.09140i 0.857401i 0.903447 + 0.428701i \(0.141029\pi\)
−0.903447 + 0.428701i \(0.858971\pi\)
\(14\) 3.61748 0.955943i 0.966813 0.255486i
\(15\) 4.90131 + 3.88313i 1.26551 + 1.00262i
\(16\) −3.97408 0.454611i −0.993521 0.113653i
\(17\) −1.34123 2.32308i −0.325296 0.563429i 0.656276 0.754521i \(-0.272131\pi\)
−0.981572 + 0.191092i \(0.938797\pi\)
\(18\) −1.57617 6.63222i −0.371506 1.56323i
\(19\) 0.00896628 + 0.00517669i 0.00205701 + 0.00118761i 0.501028 0.865431i \(-0.332955\pi\)
−0.498971 + 0.866619i \(0.666289\pi\)
\(20\) −1.40781 4.24477i −0.314797 0.949159i
\(21\) −0.185144 7.39648i −0.0404018 1.61404i
\(22\) −7.62701 2.27827i −1.62608 0.485730i
\(23\) −1.25202 + 2.16856i −0.261063 + 0.452175i −0.966525 0.256573i \(-0.917407\pi\)
0.705461 + 0.708748i \(0.250740\pi\)
\(24\) −2.69156 + 7.43760i −0.549412 + 1.51819i
\(25\) 3.64347 3.42420i 0.728694 0.684840i
\(26\) −3.00214 3.17817i −0.588767 0.623290i
\(27\) −5.09045 −0.979657
\(28\) −2.79067 + 4.49579i −0.527387 + 0.849625i
\(29\) 7.20373i 1.33770i −0.743398 0.668849i \(-0.766787\pi\)
0.743398 0.668849i \(-0.233213\pi\)
\(30\) −8.80987 + 0.767667i −1.60845 + 0.140156i
\(31\) 2.49620 + 4.32355i 0.448331 + 0.776533i 0.998278 0.0586673i \(-0.0186851\pi\)
−0.549946 + 0.835200i \(0.685352\pi\)
\(32\) 4.52710 3.39196i 0.800286 0.599619i
\(33\) −7.87010 + 13.6314i −1.37001 + 2.37293i
\(34\) 3.63486 + 1.08578i 0.623374 + 0.186209i
\(35\) −5.87255 0.716337i −0.992642 0.121083i
\(36\) 8.06111 + 5.28770i 1.34352 + 0.881284i
\(37\) −0.224770 + 0.389313i −0.0369519 + 0.0640026i −0.883910 0.467657i \(-0.845098\pi\)
0.846958 + 0.531660i \(0.178432\pi\)
\(38\) −0.0142451 + 0.00338540i −0.00231086 + 0.000549184i
\(39\) −7.48684 + 4.32253i −1.19885 + 0.692158i
\(40\) 5.56952 + 2.99674i 0.880618 + 0.473826i
\(41\) 10.6661i 1.66577i −0.553445 0.832886i \(-0.686687\pi\)
0.553445 0.832886i \(-0.313313\pi\)
\(42\) 7.37323 + 7.42426i 1.13771 + 1.14559i
\(43\) 9.44007i 1.43960i −0.694183 0.719798i \(-0.744234\pi\)
0.694183 0.719798i \(-0.255766\pi\)
\(44\) 10.0535 5.06455i 1.51563 0.763510i
\(45\) −1.57242 + 10.6632i −0.234403 + 1.58958i
\(46\) −0.818781 3.44528i −0.120723 0.507979i
\(47\) 1.23879 + 0.715215i 0.180696 + 0.104325i 0.587620 0.809137i \(-0.300065\pi\)
−0.406924 + 0.913462i \(0.633398\pi\)
\(48\) −4.45573 10.2602i −0.643130 1.48093i
\(49\) 3.79892 + 5.87948i 0.542702 + 0.839925i
\(50\) −0.420406 + 7.05856i −0.0594544 + 0.998231i
\(51\) 3.75072 6.49644i 0.525206 0.909683i
\(52\) 6.17279 + 0.351917i 0.856011 + 0.0488022i
\(53\) −2.17123 3.76068i −0.298241 0.516569i 0.677493 0.735530i \(-0.263067\pi\)
−0.975734 + 0.218961i \(0.929733\pi\)
\(54\) 5.23331 4.94345i 0.712163 0.672719i
\(55\) 9.86504 + 7.81571i 1.33020 + 1.05387i
\(56\) −1.49698 7.33206i −0.200043 0.979787i
\(57\) 0.0289530i 0.00383492i
\(58\) 6.99571 + 7.40590i 0.918582 + 0.972443i
\(59\) 0.320832 0.185233i 0.0417688 0.0241152i −0.478970 0.877831i \(-0.658990\pi\)
0.520739 + 0.853716i \(0.325656\pi\)
\(60\) 8.31162 9.34468i 1.07303 1.20639i
\(61\) −2.24283 + 3.88469i −0.287165 + 0.497384i −0.973132 0.230249i \(-0.926046\pi\)
0.685967 + 0.727633i \(0.259379\pi\)
\(62\) −6.76496 2.02077i −0.859151 0.256638i
\(63\) 10.8817 6.65104i 1.37096 0.837953i
\(64\) −1.36015 + 7.88353i −0.170018 + 0.985441i
\(65\) 2.54598 + 6.42665i 0.315790 + 0.797128i
\(66\) −5.14681 21.6568i −0.633529 2.66577i
\(67\) −4.32212 + 2.49538i −0.528031 + 0.304859i −0.740214 0.672371i \(-0.765276\pi\)
0.212183 + 0.977230i \(0.431943\pi\)
\(68\) −4.79130 + 2.41366i −0.581031 + 0.292699i
\(69\) −7.00248 −0.843000
\(70\) 6.73302 4.96653i 0.804750 0.593614i
\(71\) 9.31593i 1.10560i −0.833315 0.552799i \(-0.813560\pi\)
0.833315 0.552799i \(-0.186440\pi\)
\(72\) −13.4224 + 2.39223i −1.58184 + 0.281927i
\(73\) −4.50169 7.79716i −0.526883 0.912589i −0.999509 0.0313255i \(-0.990027\pi\)
0.472626 0.881263i \(-0.343306\pi\)
\(74\) −0.146993 0.618518i −0.0170876 0.0719013i
\(75\) 13.3872 + 4.03599i 1.54583 + 0.466036i
\(76\) 0.0113573 0.0173142i 0.00130277 0.00198607i
\(77\) −0.372646 14.8872i −0.0424670 1.69655i
\(78\) 3.49925 11.7145i 0.396212 1.32640i
\(79\) 4.69042 + 2.70802i 0.527714 + 0.304676i 0.740085 0.672513i \(-0.234785\pi\)
−0.212371 + 0.977189i \(0.568119\pi\)
\(80\) −8.63604 + 2.32785i −0.965538 + 0.260261i
\(81\) 0.112790 + 0.195358i 0.0125322 + 0.0217065i
\(82\) 10.3581 + 10.9655i 1.14387 + 1.21094i
\(83\) 11.3308 1.24372 0.621860 0.783129i \(-0.286377\pi\)
0.621860 + 0.783129i \(0.286377\pi\)
\(84\) −14.7900 0.472307i −1.61373 0.0515329i
\(85\) −4.70146 3.72480i −0.509945 0.404011i
\(86\) 9.16747 + 9.70501i 0.988554 + 1.04652i
\(87\) 17.4462 10.0725i 1.87042 1.07989i
\(88\) −5.41740 + 14.9699i −0.577497 + 1.59580i
\(89\) 0.909465 + 0.525080i 0.0964031 + 0.0556584i 0.547426 0.836854i \(-0.315608\pi\)
−0.451023 + 0.892512i \(0.648941\pi\)
\(90\) −8.73875 12.4895i −0.921145 1.31651i
\(91\) 3.91101 7.18342i 0.409986 0.753027i
\(92\) 4.18755 + 2.74684i 0.436583 + 0.286377i
\(93\) −6.98059 + 12.0907i −0.723853 + 1.25375i
\(94\) −1.96812 + 0.467729i −0.202996 + 0.0482426i
\(95\) 0.0229032 + 0.00337735i 0.00234982 + 0.000346509i
\(96\) 14.5447 + 6.22107i 1.48446 + 0.634935i
\(97\) 6.06940 0.616254 0.308127 0.951345i \(-0.400298\pi\)
0.308127 + 0.951345i \(0.400298\pi\)
\(98\) −9.61523 2.35527i −0.971285 0.237918i
\(99\) −27.1315 −2.72681
\(100\) −6.42253 7.66493i −0.642253 0.766493i
\(101\) −1.53154 2.65270i −0.152393 0.263953i 0.779713 0.626137i \(-0.215365\pi\)
−0.932107 + 0.362183i \(0.882031\pi\)
\(102\) 2.45286 + 10.3212i 0.242869 + 1.02195i
\(103\) −0.926219 0.534753i −0.0912631 0.0526908i 0.453674 0.891168i \(-0.350113\pi\)
−0.544937 + 0.838477i \(0.683446\pi\)
\(104\) −6.68778 + 5.63275i −0.655791 + 0.552336i
\(105\) −6.47640 15.2239i −0.632032 1.48570i
\(106\) 5.88425 + 1.75769i 0.571529 + 0.170722i
\(107\) −0.826678 0.477283i −0.0799180 0.0461407i 0.459508 0.888173i \(-0.348026\pi\)
−0.539426 + 0.842033i \(0.681359\pi\)
\(108\) −0.579483 + 10.1644i −0.0557608 + 0.978068i
\(109\) 0.742830 0.428873i 0.0711502 0.0410786i −0.464003 0.885834i \(-0.653587\pi\)
0.535153 + 0.844755i \(0.320254\pi\)
\(110\) −17.7319 + 1.54511i −1.69067 + 0.147320i
\(111\) −1.25713 −0.119321
\(112\) 8.65933 + 6.08408i 0.818230 + 0.574891i
\(113\) 2.14152i 0.201457i 0.994914 + 0.100729i \(0.0321174\pi\)
−0.994914 + 0.100729i \(0.967883\pi\)
\(114\) −0.0281169 0.0297656i −0.00263339 0.00278780i
\(115\) −0.816835 + 5.53929i −0.0761703 + 0.516541i
\(116\) −14.3841 0.820053i −1.33553 0.0761400i
\(117\) −12.9051 7.45076i −1.19308 0.688823i
\(118\) −0.149953 + 0.501999i −0.0138043 + 0.0462128i
\(119\) 0.177595 + 7.09489i 0.0162801 + 0.650388i
\(120\) 0.529952 + 17.6786i 0.0483778 + 1.61382i
\(121\) −10.3404 + 17.9102i −0.940040 + 1.62820i
\(122\) −1.46674 6.17178i −0.132793 0.558767i
\(123\) 25.8315 14.9138i 2.32915 1.34473i
\(124\) 8.91725 4.49213i 0.800792 0.403405i
\(125\) 4.75427 10.1191i 0.425235 0.905083i
\(126\) −4.72809 + 17.4052i −0.421212 + 1.55058i
\(127\) −14.7459 −1.30849 −0.654244 0.756284i \(-0.727013\pi\)
−0.654244 + 0.756284i \(0.727013\pi\)
\(128\) −6.25756 9.42565i −0.553095 0.833118i
\(129\) 22.8622 13.1995i 2.01290 1.16215i
\(130\) −8.85851 4.13456i −0.776943 0.362625i
\(131\) 1.85181 + 1.06915i 0.161794 + 0.0934117i 0.578711 0.815533i \(-0.303556\pi\)
−0.416917 + 0.908945i \(0.636889\pi\)
\(132\) 26.3227 + 17.2665i 2.29110 + 1.50285i
\(133\) −0.0142856 0.0233724i −0.00123871 0.00202664i
\(134\) 2.02010 6.76273i 0.174510 0.584211i
\(135\) −10.5824 + 4.19233i −0.910789 + 0.360818i
\(136\) 2.58181 7.13434i 0.221389 0.611765i
\(137\) −11.0212 + 6.36309i −0.941605 + 0.543636i −0.890463 0.455056i \(-0.849619\pi\)
−0.0511418 + 0.998691i \(0.516286\pi\)
\(138\) 7.19901 6.80027i 0.612820 0.578878i
\(139\) 6.35401i 0.538940i 0.963009 + 0.269470i \(0.0868485\pi\)
−0.963009 + 0.269470i \(0.913152\pi\)
\(140\) −2.09887 + 11.6445i −0.177387 + 0.984141i
\(141\) 4.00017i 0.336875i
\(142\) 9.04692 + 9.57739i 0.759201 + 0.803716i
\(143\) −15.0690 + 8.70011i −1.26014 + 0.727539i
\(144\) 11.4759 15.4941i 0.956327 1.29118i
\(145\) −5.93276 14.9757i −0.492689 1.24366i
\(146\) 12.2000 + 3.64429i 1.00968 + 0.301604i
\(147\) −8.92725 + 17.4212i −0.736307 + 1.43688i
\(148\) 0.751776 + 0.493129i 0.0617956 + 0.0405350i
\(149\) 6.88939 + 3.97759i 0.564400 + 0.325857i 0.754910 0.655829i \(-0.227681\pi\)
−0.190509 + 0.981685i \(0.561014\pi\)
\(150\) −17.6824 + 8.85141i −1.44376 + 0.722715i
\(151\) −17.2792 + 9.97613i −1.40616 + 0.811846i −0.995015 0.0997254i \(-0.968204\pi\)
−0.411143 + 0.911571i \(0.634870\pi\)
\(152\) 0.00513819 + 0.0288295i 0.000416762 + 0.00233838i
\(153\) 12.9303 1.04535
\(154\) 14.8404 + 14.9431i 1.19587 + 1.20415i
\(155\) 8.75004 + 6.93234i 0.702820 + 0.556819i
\(156\) 7.77876 + 15.4415i 0.622799 + 1.23631i
\(157\) 1.89627 1.09481i 0.151339 0.0873757i −0.422418 0.906401i \(-0.638819\pi\)
0.573757 + 0.819025i \(0.305485\pi\)
\(158\) −7.45188 + 1.77096i −0.592840 + 0.140890i
\(159\) 6.07180 10.5167i 0.481525 0.834025i
\(160\) 6.61778 10.7798i 0.523182 0.852221i
\(161\) 5.65277 3.45506i 0.445501 0.272297i
\(162\) −0.305673 0.0913079i −0.0240159 0.00717382i
\(163\) −12.7286 7.34887i −0.996982 0.575608i −0.0896280 0.995975i \(-0.528568\pi\)
−0.907354 + 0.420368i \(0.861901\pi\)
\(164\) −21.2977 1.21421i −1.66307 0.0948135i
\(165\) −5.13458 + 34.8196i −0.399726 + 2.71070i
\(166\) −11.6488 + 11.0036i −0.904125 + 0.854048i
\(167\) 10.2205i 0.790884i −0.918491 0.395442i \(-0.870591\pi\)
0.918491 0.395442i \(-0.129409\pi\)
\(168\) 15.6638 13.8774i 1.20849 1.07066i
\(169\) 3.44322 0.264863
\(170\) 8.45065 0.736366i 0.648135 0.0564767i
\(171\) −0.0432202 + 0.0249532i −0.00330513 + 0.00190822i
\(172\) −18.8495 1.07463i −1.43726 0.0819399i
\(173\) 20.2375 + 11.6841i 1.53863 + 0.888326i 0.998920 + 0.0464719i \(0.0147978\pi\)
0.539706 + 0.841854i \(0.318536\pi\)
\(174\) −8.15410 + 27.2976i −0.618161 + 2.06943i
\(175\) −12.7983 + 3.34727i −0.967458 + 0.253030i
\(176\) −8.96822 20.6510i −0.676005 1.55663i
\(177\) 0.897201 + 0.517999i 0.0674378 + 0.0389352i
\(178\) −1.44491 + 0.343387i −0.108300 + 0.0257379i
\(179\) −10.2591 17.7693i −0.766801 1.32814i −0.939289 0.343127i \(-0.888514\pi\)
0.172488 0.985012i \(-0.444819\pi\)
\(180\) 21.1129 + 4.35362i 1.57366 + 0.324499i
\(181\) −10.1199 −0.752204 −0.376102 0.926578i \(-0.622736\pi\)
−0.376102 + 0.926578i \(0.622736\pi\)
\(182\) 2.95521 + 11.1831i 0.219054 + 0.828947i
\(183\) −12.5440 −0.927283
\(184\) −6.97260 + 1.24271i −0.514027 + 0.0916135i
\(185\) −0.146643 + 0.994447i −0.0107814 + 0.0731132i
\(186\) −4.56509 19.2091i −0.334729 1.40848i
\(187\) 7.54921 13.0756i 0.552053 0.956184i
\(188\) 1.56913 2.39214i 0.114441 0.174465i
\(189\) 11.8285 + 6.44005i 0.860399 + 0.468445i
\(190\) −0.0268258 + 0.0187697i −0.00194615 + 0.00136169i
\(191\) −10.2933 5.94286i −0.744800 0.430010i 0.0790121 0.996874i \(-0.474823\pi\)
−0.823812 + 0.566863i \(0.808157\pi\)
\(192\) −20.9943 + 7.72903i −1.51513 + 0.557795i
\(193\) 1.46075 0.843365i 0.105147 0.0607067i −0.446504 0.894782i \(-0.647331\pi\)
0.551651 + 0.834075i \(0.313998\pi\)
\(194\) −6.23974 + 5.89414i −0.447987 + 0.423174i
\(195\) −12.0043 + 15.1519i −0.859647 + 1.08505i
\(196\) 12.1723 6.91621i 0.869453 0.494015i
\(197\) 12.2308 0.871407 0.435703 0.900090i \(-0.356500\pi\)
0.435703 + 0.900090i \(0.356500\pi\)
\(198\) 27.8929 26.3480i 1.98226 1.87247i
\(199\) 5.79902 + 10.0442i 0.411082 + 0.712014i 0.995008 0.0997922i \(-0.0318178\pi\)
−0.583927 + 0.811806i \(0.698484\pi\)
\(200\) 14.0464 + 1.64298i 0.993229 + 0.116176i
\(201\) −12.0867 6.97828i −0.852533 0.492210i
\(202\) 4.15062 + 1.23984i 0.292036 + 0.0872345i
\(203\) −9.11362 + 16.7391i −0.639650 + 1.17486i
\(204\) −12.5448 8.22882i −0.878314 0.576132i
\(205\) −8.78430 22.1736i −0.613522 1.54867i
\(206\) 1.47152 0.349712i 0.102526 0.0243656i
\(207\) −6.03510 10.4531i −0.419468 0.726541i
\(208\) 1.40539 12.2855i 0.0974461 0.851846i
\(209\) 0.0582748i 0.00403095i
\(210\) 21.4424 + 9.36178i 1.47967 + 0.646024i
\(211\) −5.59881 −0.385438 −0.192719 0.981254i \(-0.561731\pi\)
−0.192719 + 0.981254i \(0.561731\pi\)
\(212\) −7.75633 + 3.90731i −0.532707 + 0.268355i
\(213\) 22.5615 13.0259i 1.54589 0.892521i
\(214\) 1.31338 0.312129i 0.0897808 0.0213367i
\(215\) −7.77454 19.6247i −0.530219 1.33840i
\(216\) −9.27513 11.0124i −0.631093 0.749299i
\(217\) −0.330528 13.2045i −0.0224377 0.896382i
\(218\) −0.347189 + 1.16229i −0.0235146 + 0.0787202i
\(219\) 12.5889 21.8046i 0.850679 1.47342i
\(220\) 16.7291 18.8084i 1.12788 1.26806i
\(221\) 7.18157 4.14628i 0.483085 0.278909i
\(222\) 1.29241 1.22083i 0.0867410 0.0819366i
\(223\) 0.966855i 0.0647454i −0.999476 0.0323727i \(-0.989694\pi\)
0.999476 0.0323727i \(-0.0103064\pi\)
\(224\) −14.8108 + 2.15445i −0.989585 + 0.143950i
\(225\) 5.51302 + 23.4625i 0.367534 + 1.56417i
\(226\) −2.07968 2.20162i −0.138338 0.146450i
\(227\) −8.25091 14.2910i −0.547632 0.948526i −0.998436 0.0559034i \(-0.982196\pi\)
0.450804 0.892623i \(-0.351137\pi\)
\(228\) 0.0578121 + 0.00329593i 0.00382870 + 0.000218279i
\(229\) 9.83500 17.0347i 0.649915 1.12569i −0.333228 0.942846i \(-0.608138\pi\)
0.983143 0.182839i \(-0.0585289\pi\)
\(230\) −4.53957 6.48800i −0.299331 0.427806i
\(231\) 35.5330 21.7183i 2.33790 1.42896i
\(232\) 15.5842 13.1257i 1.02315 0.861742i
\(233\) −21.2525 12.2702i −1.39230 0.803845i −0.398731 0.917068i \(-0.630549\pi\)
−0.993570 + 0.113223i \(0.963883\pi\)
\(234\) 20.5029 4.87257i 1.34032 0.318530i
\(235\) 3.16432 + 0.466618i 0.206418 + 0.0304388i
\(236\) −0.333342 0.661711i −0.0216987 0.0430737i
\(237\) 15.1458i 0.983827i
\(238\) −7.07260 7.12155i −0.458448 0.461621i
\(239\) 4.28437i 0.277133i 0.990353 + 0.138567i \(0.0442495\pi\)
−0.990353 + 0.138567i \(0.955751\pi\)
\(240\) −17.7129 17.6601i −1.14336 1.13995i
\(241\) −6.54522 + 3.77888i −0.421615 + 0.243419i −0.695768 0.718267i \(-0.744936\pi\)
0.274153 + 0.961686i \(0.411602\pi\)
\(242\) −6.76234 28.4547i −0.434700 1.82914i
\(243\) −7.95108 + 13.7717i −0.510062 + 0.883454i
\(244\) 7.50147 + 4.92061i 0.480232 + 0.315010i
\(245\) 12.7396 + 9.09405i 0.813905 + 0.580997i
\(246\) −12.0733 + 40.4180i −0.769766 + 2.57696i
\(247\) −0.0160032 + 0.0277184i −0.00101826 + 0.00176368i
\(248\) −4.80510 + 13.2780i −0.305124 + 0.843151i
\(249\) 15.8432 + 27.4413i 1.00402 + 1.73902i
\(250\) 4.93924 + 15.0201i 0.312385 + 0.949956i
\(251\) 24.1608i 1.52502i 0.646978 + 0.762508i \(0.276032\pi\)
−0.646978 + 0.762508i \(0.723968\pi\)
\(252\) −12.0418 22.4852i −0.758561 1.41644i
\(253\) −14.0941 −0.886091
\(254\) 15.1598 14.3201i 0.951208 0.898523i
\(255\) 2.44703 16.5943i 0.153239 1.03917i
\(256\) 15.5867 + 3.61332i 0.974166 + 0.225833i
\(257\) −5.36561 + 9.29351i −0.334697 + 0.579713i −0.983427 0.181306i \(-0.941967\pi\)
0.648729 + 0.761019i \(0.275301\pi\)
\(258\) −10.6855 + 35.7719i −0.665249 + 2.22706i
\(259\) 1.01482 0.620274i 0.0630579 0.0385419i
\(260\) 13.1223 4.35212i 0.813810 0.269907i
\(261\) 30.0720 + 17.3621i 1.86141 + 1.07469i
\(262\) −2.94206 + 0.699189i −0.181761 + 0.0431961i
\(263\) 10.8614 + 18.8124i 0.669740 + 1.16002i 0.977977 + 0.208714i \(0.0669277\pi\)
−0.308237 + 0.951310i \(0.599739\pi\)
\(264\) −43.8294 + 7.81158i −2.69751 + 0.480770i
\(265\) −7.61089 6.02983i −0.467534 0.370410i
\(266\) 0.0373840 + 0.0101553i 0.00229216 + 0.000622662i
\(267\) 2.93675i 0.179726i
\(268\) 4.49065 + 8.91430i 0.274310 + 0.544528i
\(269\) 11.0937 + 19.2149i 0.676396 + 1.17155i 0.976059 + 0.217507i \(0.0697925\pi\)
−0.299663 + 0.954045i \(0.596874\pi\)
\(270\) 6.80815 14.5868i 0.414331 0.887726i
\(271\) −1.07939 + 1.86956i −0.0655683 + 0.113568i −0.896946 0.442140i \(-0.854219\pi\)
0.831378 + 0.555708i \(0.187553\pi\)
\(272\) 4.27406 + 9.84183i 0.259153 + 0.596749i
\(273\) 22.8655 0.572356i 1.38388 0.0346405i
\(274\) 5.15117 17.2446i 0.311193 1.04179i
\(275\) 26.9450 + 8.12338i 1.62484 + 0.489858i
\(276\) −0.797144 + 13.9823i −0.0479824 + 0.841633i
\(277\) −4.02100 6.96457i −0.241598 0.418460i 0.719571 0.694418i \(-0.244338\pi\)
−0.961170 + 0.275958i \(0.911005\pi\)
\(278\) −6.17053 6.53233i −0.370084 0.391783i
\(279\) −24.0649 −1.44073
\(280\) −9.15049 14.0096i −0.546847 0.837233i
\(281\) 12.1508 0.724858 0.362429 0.932011i \(-0.381948\pi\)
0.362429 + 0.932011i \(0.381948\pi\)
\(282\) −3.88466 4.11244i −0.231328 0.244892i
\(283\) 7.59282 + 13.1511i 0.451346 + 0.781755i 0.998470 0.0552972i \(-0.0176106\pi\)
−0.547124 + 0.837052i \(0.684277\pi\)
\(284\) −18.6017 1.06050i −1.10381 0.0629291i
\(285\) 0.0238448 + 0.0601898i 0.00141244 + 0.00356533i
\(286\) 7.04307 23.5782i 0.416465 1.39421i
\(287\) −13.4940 + 24.7846i −0.796526 + 1.46299i
\(288\) 3.24874 + 27.0735i 0.191434 + 1.59532i
\(289\) 4.90221 8.49088i 0.288365 0.499464i
\(290\) 20.6425 + 9.63452i 1.21217 + 0.565759i
\(291\) 8.48648 + 14.6990i 0.497486 + 0.861671i
\(292\) −16.0815 + 8.10118i −0.941099 + 0.474086i
\(293\) 20.5769i 1.20212i −0.799205 0.601058i \(-0.794746\pi\)
0.799205 0.601058i \(-0.205254\pi\)
\(294\) −7.74036 26.5796i −0.451427 1.55016i
\(295\) 0.514420 0.649303i 0.0299507 0.0378039i
\(296\) −1.25176 + 0.223098i −0.0727573 + 0.0129673i
\(297\) −14.3260 24.8133i −0.831278 1.43982i
\(298\) −10.9455 + 2.60122i −0.634054 + 0.150685i
\(299\) −6.70389 3.87049i −0.387696 0.223836i
\(300\) 9.58286 26.2716i 0.553267 1.51679i
\(301\) −11.9429 + 21.9356i −0.688375 + 1.26435i
\(302\) 8.07605 27.0363i 0.464725 1.55576i
\(303\) 4.28291 7.41821i 0.246047 0.426165i
\(304\) −0.0332794 0.0246487i −0.00190870 0.00141370i
\(305\) −1.46326 + 9.92292i −0.0837858 + 0.568185i
\(306\) −13.2932 + 12.5569i −0.759919 + 0.717829i
\(307\) −5.13799 −0.293241 −0.146620 0.989193i \(-0.546840\pi\)
−0.146620 + 0.989193i \(0.546840\pi\)
\(308\) −29.7685 0.950630i −1.69622 0.0541672i
\(309\) 2.99085i 0.170144i
\(310\) −15.7278 + 1.37047i −0.893278 + 0.0778377i
\(311\) 10.7172 + 18.5628i 0.607718 + 1.05260i 0.991616 + 0.129222i \(0.0412481\pi\)
−0.383898 + 0.923376i \(0.625419\pi\)
\(312\) −22.9926 8.32070i −1.30170 0.471067i
\(313\) −0.582955 + 1.00971i −0.0329506 + 0.0570720i −0.882030 0.471192i \(-0.843824\pi\)
0.849080 + 0.528265i \(0.177157\pi\)
\(314\) −0.886294 + 2.96706i −0.0500165 + 0.167441i
\(315\) 17.1441 22.7885i 0.965960 1.28399i
\(316\) 5.94120 9.05736i 0.334218 0.509516i
\(317\) 7.41747 12.8474i 0.416607 0.721584i −0.578989 0.815335i \(-0.696553\pi\)
0.995596 + 0.0937515i \(0.0298859\pi\)
\(318\) 3.97077 + 16.7083i 0.222670 + 0.936954i
\(319\) 35.1145 20.2734i 1.96603 1.13509i
\(320\) 3.66504 + 17.5091i 0.204882 + 0.978787i
\(321\) 2.66942i 0.148993i
\(322\) −2.45613 + 9.04157i −0.136875 + 0.503867i
\(323\) 0.0277725i 0.00154530i
\(324\) 0.402923 0.202975i 0.0223846 0.0112764i
\(325\) 10.5856 + 11.2634i 0.587182 + 0.624783i
\(326\) 20.2225 4.80594i 1.12002 0.266176i
\(327\) 2.07731 + 1.19934i 0.114875 + 0.0663234i
\(328\) 23.0746 19.4344i 1.27408 1.07309i
\(329\) −1.97370 3.22915i −0.108814 0.178029i
\(330\) −28.5355 40.7832i −1.57083 2.24504i
\(331\) −7.74145 + 13.4086i −0.425509 + 0.737003i −0.996468 0.0839759i \(-0.973238\pi\)
0.570959 + 0.820978i \(0.306571\pi\)
\(332\) 1.28987 22.6249i 0.0707909 1.24170i
\(333\) −1.08346 1.87661i −0.0593732 0.102837i
\(334\) 9.92535 + 10.5073i 0.543091 + 0.574935i
\(335\) −6.93005 + 8.74715i −0.378629 + 0.477908i
\(336\) −2.62674 + 29.4784i −0.143301 + 1.60818i
\(337\) 28.7826i 1.56789i 0.620832 + 0.783944i \(0.286795\pi\)
−0.620832 + 0.783944i \(0.713205\pi\)
\(338\) −3.53985 + 3.34379i −0.192543 + 0.181878i
\(339\) −5.18638 + 2.99436i −0.281686 + 0.162631i
\(340\) −7.97272 + 8.96366i −0.432382 + 0.486123i
\(341\) −14.0501 + 24.3354i −0.760854 + 1.31784i
\(342\) 0.0202006 0.0676257i 0.00109232 0.00365678i
\(343\) −1.38917 18.4681i −0.0750080 0.997183i
\(344\) 20.4221 17.2004i 1.10109 0.927385i
\(345\) −14.5573 + 5.76702i −0.783739 + 0.310486i
\(346\) −32.1521 + 7.64105i −1.72851 + 0.410786i
\(347\) −4.40442 + 2.54289i −0.236442 + 0.136510i −0.613540 0.789664i \(-0.710255\pi\)
0.377099 + 0.926173i \(0.376922\pi\)
\(348\) −18.1264 35.9824i −0.971677 1.92886i
\(349\) −13.7007 −0.733381 −0.366690 0.930343i \(-0.619509\pi\)
−0.366690 + 0.930343i \(0.619509\pi\)
\(350\) 9.90685 15.8699i 0.529543 0.848283i
\(351\) 15.7366i 0.839959i
\(352\) 29.2746 + 12.5214i 1.56034 + 0.667391i
\(353\) 0.825203 + 1.42929i 0.0439211 + 0.0760736i 0.887150 0.461481i \(-0.152682\pi\)
−0.843229 + 0.537554i \(0.819348\pi\)
\(354\) −1.42542 + 0.338756i −0.0757604 + 0.0180047i
\(355\) −7.67231 19.3667i −0.407204 1.02788i
\(356\) 1.15199 1.75621i 0.0610553 0.0930788i
\(357\) −16.9343 + 10.3505i −0.896256 + 0.547805i
\(358\) 27.8032 + 8.30513i 1.46944 + 0.438940i
\(359\) −29.4837 17.0224i −1.55609 0.898408i −0.997625 0.0688791i \(-0.978058\pi\)
−0.558464 0.829529i \(-0.688609\pi\)
\(360\) −25.9333 + 16.0274i −1.36680 + 0.844718i
\(361\) −9.49995 16.4544i −0.499997 0.866021i
\(362\) 10.4039 9.82765i 0.546816 0.516530i
\(363\) −57.8337 −3.03548
\(364\) −13.8983 8.62709i −0.728470 0.452182i
\(365\) −15.7800 12.5019i −0.825961 0.654379i
\(366\) 12.8961 12.1818i 0.674090 0.636754i
\(367\) 9.86880 5.69776i 0.515147 0.297421i −0.219800 0.975545i \(-0.570540\pi\)
0.734947 + 0.678125i \(0.237207\pi\)
\(368\) 5.96147 8.04884i 0.310763 0.419575i
\(369\) 44.5259 + 25.7070i 2.31792 + 1.33825i
\(370\) −0.814972 1.16477i −0.0423684 0.0605533i
\(371\) 0.287497 + 11.4855i 0.0149261 + 0.596295i
\(372\) 23.3476 + 15.3149i 1.21052 + 0.794041i
\(373\) −14.8647 + 25.7464i −0.769664 + 1.33310i 0.168080 + 0.985773i \(0.446243\pi\)
−0.937745 + 0.347325i \(0.887090\pi\)
\(374\) 4.93696 + 20.7738i 0.255284 + 1.07419i
\(375\) 31.1544 2.63499i 1.60880 0.136070i
\(376\) 0.709897 + 3.98310i 0.0366101 + 0.205413i
\(377\) 22.2696 1.14694
\(378\) −18.4146 + 4.86617i −0.947144 + 0.250289i
\(379\) −35.7110 −1.83435 −0.917176 0.398482i \(-0.869537\pi\)
−0.917176 + 0.398482i \(0.869537\pi\)
\(380\) 0.00935099 0.0453476i 0.000479696 0.00232628i
\(381\) −20.6183 35.7120i −1.05631 1.82958i
\(382\) 16.3535 3.88645i 0.836717 0.198848i
\(383\) 27.0665 + 15.6269i 1.38303 + 0.798495i 0.992518 0.122101i \(-0.0389631\pi\)
0.390517 + 0.920596i \(0.372296\pi\)
\(384\) 14.0777 28.3340i 0.718399 1.44592i
\(385\) −13.0353 30.6417i −0.664339 1.56164i
\(386\) −0.682736 + 2.28560i −0.0347503 + 0.116334i
\(387\) 39.4076 + 22.7520i 2.00320 + 1.15655i
\(388\) 0.690924 12.1191i 0.0350764 0.615255i
\(389\) −12.5630 + 7.25326i −0.636970 + 0.367755i −0.783446 0.621459i \(-0.786540\pi\)
0.146476 + 0.989214i \(0.453207\pi\)
\(390\) −2.37317 27.2349i −0.120170 1.37909i
\(391\) 6.71696 0.339691
\(392\) −5.79747 + 18.9312i −0.292817 + 0.956169i
\(393\) 5.97969i 0.301635i
\(394\) −12.5740 + 11.8776i −0.633471 + 0.598385i
\(395\) 11.9811 + 1.76675i 0.602832 + 0.0888949i
\(396\) −3.08857 + 54.1749i −0.155207 + 2.72239i
\(397\) 29.3306 + 16.9340i 1.47206 + 0.849895i 0.999507 0.0314062i \(-0.00999855\pi\)
0.472555 + 0.881301i \(0.343332\pi\)
\(398\) −15.7159 4.69453i −0.787768 0.235315i
\(399\) 0.0366292 0.0672773i 0.00183375 0.00336808i
\(400\) −16.0361 + 11.9517i −0.801806 + 0.597584i
\(401\) 2.50564 4.33990i 0.125126 0.216724i −0.796656 0.604433i \(-0.793400\pi\)
0.921782 + 0.387708i \(0.126733\pi\)
\(402\) 19.2027 4.56359i 0.957745 0.227611i
\(403\) −13.3658 + 7.71678i −0.665800 + 0.384400i
\(404\) −5.47114 + 2.75613i −0.272199 + 0.137123i
\(405\) 0.395368 + 0.313236i 0.0196460 + 0.0155648i
\(406\) −6.88635 26.0593i −0.341764 1.29330i
\(407\) −2.53027 −0.125421
\(408\) 20.8881 3.72283i 1.03412 0.184307i
\(409\) −24.6325 + 14.2216i −1.21800 + 0.703211i −0.964489 0.264123i \(-0.914918\pi\)
−0.253507 + 0.967333i \(0.581584\pi\)
\(410\) 30.5641 + 14.2653i 1.50946 + 0.704512i
\(411\) −30.8206 17.7943i −1.52027 0.877727i
\(412\) −1.17321 + 1.78856i −0.0577999 + 0.0881160i
\(413\) −0.979852 + 0.0245271i −0.0482154 + 0.00120690i
\(414\) 16.3557 + 4.88564i 0.803840 + 0.240116i
\(415\) 23.5554 9.33171i 1.15629 0.458076i
\(416\) 10.4859 + 13.9951i 0.514114 + 0.686166i
\(417\) −15.3883 + 8.88443i −0.753567 + 0.435072i
\(418\) −0.0565920 0.0599103i −0.00276801 0.00293031i
\(419\) 11.6710i 0.570167i −0.958503 0.285083i \(-0.907979\pi\)
0.958503 0.285083i \(-0.0920213\pi\)
\(420\) −31.1357 + 11.1987i −1.51927 + 0.546443i
\(421\) 11.0632i 0.539185i 0.962974 + 0.269593i \(0.0868890\pi\)
−0.962974 + 0.269593i \(0.913111\pi\)
\(422\) 5.75595 5.43714i 0.280195 0.264676i
\(423\) −5.97134 + 3.44755i −0.290337 + 0.167626i
\(424\) 4.17953 11.5493i 0.202976 0.560885i
\(425\) −12.8414 3.87143i −0.622899 0.187792i
\(426\) −10.5450 + 35.3015i −0.510905 + 1.71036i
\(427\) 10.1262 6.18930i 0.490042 0.299521i
\(428\) −1.04713 + 1.59634i −0.0506147 + 0.0771622i
\(429\) −42.1402 24.3297i −2.03455 1.17465i
\(430\) 27.0508 + 12.6255i 1.30451 + 0.608855i
\(431\) −23.4715 + 13.5513i −1.13058 + 0.652741i −0.944081 0.329714i \(-0.893048\pi\)
−0.186500 + 0.982455i \(0.559714\pi\)
\(432\) 20.2298 + 2.31417i 0.973309 + 0.111341i
\(433\) 9.64178 0.463354 0.231677 0.972793i \(-0.425579\pi\)
0.231677 + 0.972793i \(0.425579\pi\)
\(434\) 13.1630 + 13.2541i 0.631846 + 0.636219i
\(435\) 27.9730 35.3077i 1.34120 1.69287i
\(436\) −0.771794 1.53207i −0.0369622 0.0733730i
\(437\) −0.0224519 + 0.0129626i −0.00107402 + 0.000620085i
\(438\) 8.23276 + 34.6419i 0.393377 + 1.65526i
\(439\) −12.9469 + 22.4247i −0.617922 + 1.07027i 0.371942 + 0.928256i \(0.378692\pi\)
−0.989864 + 0.142016i \(0.954641\pi\)
\(440\) 1.06665 + 35.5823i 0.0508507 + 1.69632i
\(441\) −33.6999 + 1.68817i −1.60476 + 0.0803890i
\(442\) −3.35657 + 11.2368i −0.159656 + 0.534482i
\(443\) 11.1960 + 6.46402i 0.531938 + 0.307115i 0.741805 0.670615i \(-0.233970\pi\)
−0.209867 + 0.977730i \(0.567303\pi\)
\(444\) −0.143108 + 2.51018i −0.00679162 + 0.119128i
\(445\) 2.32311 + 0.342570i 0.110126 + 0.0162394i
\(446\) 0.938936 + 0.993991i 0.0444599 + 0.0470668i
\(447\) 22.2465i 1.05222i
\(448\) 13.1342 16.5980i 0.620532 0.784181i
\(449\) 4.43065 0.209095 0.104548 0.994520i \(-0.466661\pi\)
0.104548 + 0.994520i \(0.466661\pi\)
\(450\) −28.4528 18.7672i −1.34128 0.884694i
\(451\) 51.9920 30.0176i 2.44821 1.41347i
\(452\) 4.27609 + 0.243785i 0.201131 + 0.0114667i
\(453\) −48.3208 27.8980i −2.27031 1.31076i
\(454\) 22.3608 + 6.67942i 1.04944 + 0.313481i
\(455\) 2.21449 18.1544i 0.103817 0.851093i
\(456\) −0.0626354 + 0.0527543i −0.00293317 + 0.00247045i
\(457\) 3.41299 + 1.97049i 0.159653 + 0.0921756i 0.577698 0.816251i \(-0.303951\pi\)
−0.418045 + 0.908426i \(0.637285\pi\)
\(458\) 6.43180 + 27.0638i 0.300538 + 1.26461i
\(459\) 6.82745 + 11.8255i 0.318678 + 0.551967i
\(460\) 10.9676 + 2.26160i 0.511368 + 0.105448i
\(461\) 36.5212 1.70096 0.850481 0.526006i \(-0.176311\pi\)
0.850481 + 0.526006i \(0.176311\pi\)
\(462\) −15.4391 + 56.8348i −0.718292 + 2.64419i
\(463\) −12.7228 −0.591279 −0.295639 0.955300i \(-0.595533\pi\)
−0.295639 + 0.955300i \(0.595533\pi\)
\(464\) −3.27489 + 28.6282i −0.152033 + 1.32903i
\(465\) −4.55424 + 30.8841i −0.211198 + 1.43222i
\(466\) 33.7649 8.02432i 1.56413 0.371719i
\(467\) 11.0255 19.0967i 0.510198 0.883689i −0.489732 0.871873i \(-0.662905\pi\)
0.999930 0.0118159i \(-0.00376120\pi\)
\(468\) −16.3464 + 24.9202i −0.755614 + 1.15193i
\(469\) 13.2002 0.330419i 0.609527 0.0152573i
\(470\) −3.70627 + 2.59323i −0.170958 + 0.119617i
\(471\) 5.30290 + 3.06163i 0.244345 + 0.141072i
\(472\) 0.985300 + 0.356566i 0.0453521 + 0.0164123i
\(473\) 46.0155 26.5671i 2.11580 1.22156i
\(474\) −14.7085 15.5709i −0.675583 0.715195i
\(475\) 0.0503944 0.0118412i 0.00231225 0.000543313i
\(476\) 14.1870 + 0.453049i 0.650260 + 0.0207655i
\(477\) 20.9320 0.958409
\(478\) −4.16066 4.40462i −0.190304 0.201462i
\(479\) −19.2131 33.2781i −0.877870 1.52052i −0.853674 0.520808i \(-0.825631\pi\)
−0.0241958 0.999707i \(-0.507703\pi\)
\(480\) 35.3601 + 0.954294i 1.61396 + 0.0435574i
\(481\) −1.20352 0.694855i −0.0548760 0.0316826i
\(482\) 3.05915 10.2412i 0.139340 0.466472i
\(483\) 16.2715 + 8.85901i 0.740378 + 0.403099i
\(484\) 34.5851 + 22.6862i 1.57205 + 1.03119i
\(485\) 12.6175 4.99857i 0.572933 0.226973i
\(486\) −5.19977 21.8797i −0.235866 0.992482i
\(487\) 3.89253 + 6.74205i 0.176387 + 0.305512i 0.940640 0.339405i \(-0.110226\pi\)
−0.764253 + 0.644916i \(0.776892\pi\)
\(488\) −12.4905 + 2.22615i −0.565419 + 0.100773i
\(489\) 41.1019i 1.85869i
\(490\) −21.9286 + 3.02249i −0.990634 + 0.136542i
\(491\) 4.73617 0.213740 0.106870 0.994273i \(-0.465917\pi\)
0.106870 + 0.994273i \(0.465917\pi\)
\(492\) −26.8387 53.2770i −1.20998 2.40191i
\(493\) −16.7348 + 9.66184i −0.753698 + 0.435148i
\(494\) −0.0104656 0.0440375i −0.000470871 0.00198134i
\(495\) −56.4030 + 22.3446i −2.53513 + 1.00432i
\(496\) −7.95458 18.3170i −0.357171 0.822455i
\(497\) −11.7858 + 21.6472i −0.528666 + 0.971009i
\(498\) −42.9367 12.8257i −1.92404 0.574733i
\(499\) −9.26180 + 16.0419i −0.414615 + 0.718134i −0.995388 0.0959313i \(-0.969417\pi\)
0.580773 + 0.814066i \(0.302750\pi\)
\(500\) −19.6643 10.6451i −0.879412 0.476061i
\(501\) 24.7522 14.2907i 1.10585 0.638461i
\(502\) −23.4631 24.8389i −1.04721 1.10861i
\(503\) 8.37050i 0.373222i 0.982434 + 0.186611i \(0.0597504\pi\)
−0.982434 + 0.186611i \(0.940250\pi\)
\(504\) 34.2157 + 11.4222i 1.52409 + 0.508786i
\(505\) −5.36855 4.25331i −0.238897 0.189270i
\(506\) 14.4897 13.6872i 0.644146 0.608468i
\(507\) 4.81444 + 8.33886i 0.213817 + 0.370342i
\(508\) −1.67864 + 29.4440i −0.0744774 + 1.30637i
\(509\) 17.2908 29.9486i 0.766402 1.32745i −0.173101 0.984904i \(-0.555379\pi\)
0.939502 0.342543i \(-0.111288\pi\)
\(510\) 13.5994 + 19.4364i 0.602191 + 0.860657i
\(511\) 0.596079 + 23.8133i 0.0263690 + 1.05344i
\(512\) −19.5331 + 11.4218i −0.863249 + 0.504779i
\(513\) −0.0456424 0.0263516i −0.00201516 0.00116345i
\(514\) −3.50895 14.7650i −0.154773 0.651256i
\(515\) −2.36590 0.348881i −0.104254 0.0153735i
\(516\) −23.7536 47.1528i −1.04569 2.07579i
\(517\) 8.05129i 0.354095i
\(518\) −0.440940 + 1.62320i −0.0193738 + 0.0713193i
\(519\) 65.3487i 2.86849i
\(520\) −9.26414 + 17.2176i −0.406259 + 0.755043i
\(521\) −19.8789 + 11.4771i −0.870912 + 0.502821i −0.867651 0.497174i \(-0.834371\pi\)
−0.00326053 + 0.999995i \(0.501038\pi\)
\(522\) −47.7767 + 11.3543i −2.09113 + 0.496963i
\(523\) −10.7152 + 18.5593i −0.468543 + 0.811541i −0.999354 0.0359497i \(-0.988554\pi\)
0.530810 + 0.847491i \(0.321888\pi\)
\(524\) 2.34563 3.57592i 0.102469 0.156215i
\(525\) −26.0016 26.3149i −1.13480 1.14847i
\(526\) −29.4354 8.79268i −1.28344 0.383379i
\(527\) 6.69596 11.5977i 0.291681 0.505206i
\(528\) 37.4734 50.5945i 1.63082 2.20184i
\(529\) 8.36491 + 14.4884i 0.363692 + 0.629933i
\(530\) 13.6802 1.19205i 0.594231 0.0517796i
\(531\) 1.78576i 0.0774952i
\(532\) −0.0482952 + 0.0258641i −0.00209386 + 0.00112135i
\(533\) 32.9734 1.42823
\(534\) −2.85195 3.01917i −0.123416 0.130652i
\(535\) −2.11164 0.311387i −0.0912941 0.0134624i
\(536\) −13.2736 4.80351i −0.573331 0.207480i
\(537\) 28.6894 49.6914i 1.23804 2.14434i
\(538\) −30.0651 8.98079i −1.29620 0.387189i
\(539\) −17.9682 + 35.0643i −0.773945 + 1.51033i
\(540\) 7.16639 + 21.6078i 0.308393 + 0.929850i
\(541\) −8.22241 4.74721i −0.353509 0.204099i 0.312721 0.949845i \(-0.398760\pi\)
−0.666230 + 0.745747i \(0.732093\pi\)
\(542\) −0.705889 2.97025i −0.0303205 0.127583i
\(543\) −14.1500 24.5085i −0.607235 1.05176i
\(544\) −13.9516 5.96741i −0.598172 0.255851i
\(545\) 1.19105 1.50335i 0.0510188 0.0643963i
\(546\) −22.9514 + 22.7936i −0.982229 + 0.975478i
\(547\) 39.4155i 1.68528i −0.538474 0.842642i \(-0.680999\pi\)
0.538474 0.842642i \(-0.319001\pi\)
\(548\) 11.4509 + 22.7310i 0.489160 + 0.971021i
\(549\) −10.8111 18.7254i −0.461407 0.799180i
\(550\) −35.5900 + 17.8156i −1.51756 + 0.759658i
\(551\) 0.0372914 0.0645906i 0.00158867 0.00275165i
\(552\) −12.7590 15.1488i −0.543058 0.644776i
\(553\) −7.47303 12.2265i −0.317785 0.519924i
\(554\) 10.8973 + 3.25515i 0.462982 + 0.138298i
\(555\) −2.61342 + 1.03533i −0.110933 + 0.0439474i
\(556\) 12.6874 + 0.723323i 0.538066 + 0.0306757i
\(557\) 6.09239 + 10.5523i 0.258143 + 0.447116i 0.965744 0.259495i \(-0.0835562\pi\)
−0.707602 + 0.706612i \(0.750223\pi\)
\(558\) 24.7403 23.3700i 1.04734 0.989332i
\(559\) 29.1831 1.23431
\(560\) 23.0123 + 5.51651i 0.972449 + 0.233115i
\(561\) 42.2224 1.78263
\(562\) −12.4919 + 11.8000i −0.526937 + 0.497751i
\(563\) −13.1210 22.7262i −0.552983 0.957795i −0.998057 0.0623013i \(-0.980156\pi\)
0.445074 0.895494i \(-0.353177\pi\)
\(564\) 7.98737 + 0.455369i 0.336329 + 0.0191745i
\(565\) 1.76369 + 4.45196i 0.0741989 + 0.187295i
\(566\) −20.5773 6.14667i −0.864929 0.258364i
\(567\) −0.0149348 0.596642i −0.000627203 0.0250566i
\(568\) 20.1536 16.9742i 0.845626 0.712223i
\(569\) 2.65884 4.60525i 0.111465 0.193062i −0.804896 0.593415i \(-0.797779\pi\)
0.916361 + 0.400353i \(0.131113\pi\)
\(570\) −0.0829657 0.0387228i −0.00347505 0.00162192i
\(571\) −22.7432 39.3924i −0.951774 1.64852i −0.741583 0.670861i \(-0.765925\pi\)
−0.210191 0.977660i \(-0.567409\pi\)
\(572\) 15.6566 + 31.0796i 0.654635 + 1.29950i
\(573\) 33.2382i 1.38855i
\(574\) −10.1962 38.5846i −0.425582 1.61049i
\(575\) 2.86388 + 12.1882i 0.119432 + 0.508284i
\(576\) −29.6317 24.6784i −1.23465 1.02827i
\(577\) 11.2954 + 19.5642i 0.470234 + 0.814469i 0.999421 0.0340364i \(-0.0108362\pi\)
−0.529187 + 0.848505i \(0.677503\pi\)
\(578\) 3.20590 + 13.4898i 0.133348 + 0.561103i
\(579\) 4.08496 + 2.35845i 0.169765 + 0.0980140i
\(580\) −30.5782 + 10.1415i −1.26969 + 0.421103i
\(581\) −26.3291 14.3349i −1.09232 0.594712i
\(582\) −22.9992 6.87013i −0.953348 0.284776i
\(583\) 12.2209 21.1673i 0.506139 0.876658i
\(584\) 8.66559 23.9457i 0.358585 0.990879i
\(585\) −32.9643 4.86099i −1.36291 0.200977i
\(586\) 19.9827 + 21.1544i 0.825479 + 0.873881i
\(587\) 1.24935 0.0515660 0.0257830 0.999668i \(-0.491792\pi\)
0.0257830 + 0.999668i \(0.491792\pi\)
\(588\) 33.7697 + 19.8087i 1.39264 + 0.816899i
\(589\) 0.0516882i 0.00212978i
\(590\) 0.101697 + 1.16709i 0.00418680 + 0.0480484i
\(591\) 17.1016 + 29.6208i 0.703464 + 1.21844i
\(592\) 1.07024 1.44498i 0.0439866 0.0593882i
\(593\) −0.393538 + 0.681629i −0.0161607 + 0.0279911i −0.873993 0.485939i \(-0.838478\pi\)
0.857832 + 0.513930i \(0.171811\pi\)
\(594\) 38.8249 + 11.5974i 1.59300 + 0.475848i
\(595\) 6.21233 + 14.6032i 0.254681 + 0.598671i
\(596\) 8.72655 13.3036i 0.357453 0.544938i
\(597\) −16.2168 + 28.0884i −0.663711 + 1.14958i
\(598\) 10.6508 2.53118i 0.435542 0.103508i
\(599\) −31.1544 + 17.9870i −1.27293 + 0.734929i −0.975539 0.219826i \(-0.929451\pi\)
−0.297395 + 0.954755i \(0.596118\pi\)
\(600\) 15.6612 + 36.3151i 0.639366 + 1.48256i
\(601\) 29.9875i 1.22322i 0.791161 + 0.611608i \(0.209477\pi\)
−0.791161 + 0.611608i \(0.790523\pi\)
\(602\) −9.02416 34.1493i −0.367797 1.39182i
\(603\) 24.0570i 0.979676i
\(604\) 17.9529 + 35.6379i 0.730493 + 1.45009i
\(605\) −6.74627 + 45.7491i −0.274275 + 1.85997i
\(606\) 2.80089 + 11.7856i 0.113779 + 0.478759i
\(607\) −12.3990 7.15859i −0.503262 0.290558i 0.226798 0.973942i \(-0.427174\pi\)
−0.730060 + 0.683384i \(0.760508\pi\)
\(608\) 0.0581503 0.00697785i 0.00235831 0.000282989i
\(609\) −53.2822 + 1.33373i −2.15910 + 0.0540454i
\(610\) −8.13206 11.6224i −0.329258 0.470578i
\(611\) −2.21102 + 3.82960i −0.0894483 + 0.154929i
\(612\) 1.47195 25.8186i 0.0594999 1.04365i
\(613\) 0.332888 + 0.576579i 0.0134452 + 0.0232878i 0.872670 0.488311i \(-0.162387\pi\)
−0.859225 + 0.511599i \(0.829053\pi\)
\(614\) 5.28220 4.98963i 0.213172 0.201365i
\(615\) 41.4180 52.2780i 1.67013 2.10805i
\(616\) 31.5271 27.9315i 1.27026 1.12539i
\(617\) 10.1780i 0.409753i −0.978788 0.204876i \(-0.934321\pi\)
0.978788 0.204876i \(-0.0656792\pi\)
\(618\) 2.90449 + 3.07479i 0.116836 + 0.123686i
\(619\) 4.94937 2.85752i 0.198932 0.114853i −0.397225 0.917721i \(-0.630027\pi\)
0.596157 + 0.802868i \(0.296693\pi\)
\(620\) 14.8383 16.6826i 0.595920 0.669988i
\(621\) 6.37332 11.0389i 0.255753 0.442976i
\(622\) −29.0447 8.67599i −1.16459 0.347876i
\(623\) −1.44901 2.37070i −0.0580533 0.0949802i
\(624\) 31.7184 13.7745i 1.26975 0.551420i
\(625\) 1.54974 24.9519i 0.0619897 0.998077i
\(626\) −0.381235 1.60417i −0.0152372 0.0641154i
\(627\) −0.141131 + 0.0814821i −0.00563624 + 0.00325408i
\(628\) −1.97021 3.91103i −0.0786200 0.156067i
\(629\) 1.20587 0.0480812
\(630\) 4.50522 + 40.0771i 0.179492 + 1.59671i
\(631\) 49.0996i 1.95463i −0.211800 0.977313i \(-0.567933\pi\)
0.211800 0.977313i \(-0.432067\pi\)
\(632\) 2.68788 + 15.0812i 0.106918 + 0.599898i
\(633\) −7.82849 13.5593i −0.311154 0.538935i
\(634\) 4.85080 + 20.4113i 0.192650 + 0.810636i
\(635\) −30.6549 + 12.1443i −1.21650 + 0.481930i
\(636\) −20.3080 13.3211i −0.805266 0.528216i
\(637\) −18.1758 + 11.7440i −0.720153 + 0.465314i
\(638\) −16.4121 + 54.9429i −0.649760 + 2.17521i
\(639\) 38.8894 + 22.4528i 1.53844 + 0.888219i
\(640\) −20.7714 14.4413i −0.821061 0.570841i
\(641\) 2.06139 + 3.57044i 0.0814201 + 0.141024i 0.903860 0.427828i \(-0.140721\pi\)
−0.822440 + 0.568852i \(0.807388\pi\)
\(642\) 2.59234 + 2.74434i 0.102312 + 0.108311i
\(643\) 23.6589 0.933017 0.466509 0.884517i \(-0.345512\pi\)
0.466509 + 0.884517i \(0.345512\pi\)
\(644\) −6.25542 11.6805i −0.246498 0.460277i
\(645\) 36.6570 46.2687i 1.44337 1.82183i
\(646\) 0.0269705 + 0.0285519i 0.00106114 + 0.00112336i
\(647\) −17.0060 + 9.81839i −0.668573 + 0.386001i −0.795536 0.605907i \(-0.792811\pi\)
0.126963 + 0.991908i \(0.459477\pi\)
\(648\) −0.217117 + 0.599960i −0.00852915 + 0.0235687i
\(649\) 1.80583 + 1.04260i 0.0708850 + 0.0409255i
\(650\) −21.8209 1.29964i −0.855885 0.0509763i
\(651\) 31.5169 19.2636i 1.23524 0.755000i
\(652\) −16.1229 + 24.5794i −0.631422 + 0.962603i
\(653\) 6.03366 10.4506i 0.236115 0.408964i −0.723481 0.690344i \(-0.757459\pi\)
0.959596 + 0.281381i \(0.0907923\pi\)
\(654\) −3.30031 + 0.784329i −0.129052 + 0.0306697i
\(655\) 4.73021 + 0.697527i 0.184825 + 0.0272546i
\(656\) −4.84895 + 42.3881i −0.189320 + 1.65498i
\(657\) 43.3991 1.69316
\(658\) 5.16500 + 1.40307i 0.201353 + 0.0546972i
\(659\) 39.2192 1.52776 0.763881 0.645357i \(-0.223291\pi\)
0.763881 + 0.645357i \(0.223291\pi\)
\(660\) 68.9419 + 14.2163i 2.68356 + 0.553368i
\(661\) −21.5274 37.2866i −0.837319 1.45028i −0.892128 0.451783i \(-0.850788\pi\)
0.0548084 0.998497i \(-0.482545\pi\)
\(662\) −5.06268 21.3028i −0.196767 0.827957i
\(663\) 20.0831 + 11.5950i 0.779964 + 0.450312i
\(664\) 20.6455 + 24.5125i 0.801201 + 0.951270i
\(665\) −0.0489467 0.0368232i −0.00189807 0.00142794i
\(666\) 2.93628 + 0.877101i 0.113779 + 0.0339870i
\(667\) 15.6217 + 9.01918i 0.604874 + 0.349224i
\(668\) −20.4078 1.16347i −0.789602 0.0450161i
\(669\) 2.34155 1.35190i 0.0905297 0.0522673i
\(670\) −1.37002 15.7226i −0.0529285 0.607416i
\(671\) −25.2479 −0.974683
\(672\) −25.9267 32.8566i −1.00014 1.26747i
\(673\) 9.18260i 0.353963i 0.984214 + 0.176982i \(0.0566333\pi\)
−0.984214 + 0.176982i \(0.943367\pi\)
\(674\) −27.9514 29.5904i −1.07665 1.13978i
\(675\) −18.5469 + 17.4307i −0.713870 + 0.670908i
\(676\) 0.391967 6.87527i 0.0150756 0.264433i
\(677\) −28.6670 16.5509i −1.10176 0.636102i −0.165078 0.986280i \(-0.552788\pi\)
−0.936683 + 0.350178i \(0.886121\pi\)
\(678\) 2.42405 8.11501i 0.0930950 0.311655i
\(679\) −14.1033 7.67855i −0.541235 0.294676i
\(680\) −0.508344 16.9577i −0.0194941 0.650299i
\(681\) 23.0735 39.9645i 0.884178 1.53144i
\(682\) −9.18833 38.6628i −0.351839 1.48047i
\(683\) 6.48677 3.74514i 0.248209 0.143304i −0.370735 0.928739i \(-0.620894\pi\)
0.618944 + 0.785435i \(0.287561\pi\)
\(684\) 0.0449054 + 0.0891409i 0.00171700 + 0.00340839i
\(685\) −17.6713 + 22.3048i −0.675185 + 0.852223i
\(686\) 19.3630 + 17.6373i 0.739281 + 0.673397i
\(687\) 55.0068 2.09864
\(688\) −4.29156 + 37.5156i −0.163614 + 1.43027i
\(689\) 11.6258 6.71214i 0.442907 0.255712i
\(690\) 9.36537 20.0658i 0.356534 0.763893i
\(691\) 33.9093 + 19.5776i 1.28997 + 0.744766i 0.978649 0.205538i \(-0.0658945\pi\)
0.311323 + 0.950304i \(0.399228\pi\)
\(692\) 25.6341 39.0792i 0.974462 1.48557i
\(693\) 63.0446 + 34.3247i 2.39487 + 1.30389i
\(694\) 2.05857 6.89150i 0.0781422 0.261598i
\(695\) 5.23296 + 13.2092i 0.198497 + 0.501054i
\(696\) 53.5785 + 19.3893i 2.03089 + 0.734948i
\(697\) −24.7783 + 14.3057i −0.938543 + 0.541868i
\(698\) 14.0852 13.3051i 0.533133 0.503604i
\(699\) 68.6265i 2.59569i
\(700\) 5.22677 + 25.9361i 0.197553 + 0.980292i
\(701\) 27.0282i 1.02084i 0.859925 + 0.510420i \(0.170510\pi\)
−0.859925 + 0.510420i \(0.829490\pi\)
\(702\) 15.2822 + 16.1783i 0.576790 + 0.610610i
\(703\) −0.00403070 + 0.00232713i −0.000152021 + 8.77692e-5i
\(704\) −42.2560 + 15.5565i −1.59258 + 0.586307i
\(705\) 3.29442 + 8.31587i 0.124075 + 0.313194i
\(706\) −2.23638 0.668033i −0.0841674 0.0251418i
\(707\) 0.202794 + 8.10158i 0.00762686 + 0.304691i
\(708\) 1.13645 1.73253i 0.0427106 0.0651123i
\(709\) 21.4335 + 12.3746i 0.804952 + 0.464739i 0.845200 0.534451i \(-0.179481\pi\)
−0.0402480 + 0.999190i \(0.512815\pi\)
\(710\) 26.6951 + 12.4595i 1.00185 + 0.467595i
\(711\) −22.6093 + 13.0535i −0.847913 + 0.489543i
\(712\) 0.521175 + 2.92422i 0.0195319 + 0.109590i
\(713\) −12.5012 −0.468172
\(714\) 7.35794 27.0862i 0.275364 1.01368i
\(715\) −24.1615 + 30.4968i −0.903590 + 1.14052i
\(716\) −36.6488 + 18.4621i −1.36963 + 0.689962i
\(717\) −10.3760 + 5.99058i −0.387499 + 0.223722i
\(718\) 46.8420 11.1321i 1.74813 0.415448i
\(719\) 9.45728 16.3805i 0.352697 0.610889i −0.634024 0.773313i \(-0.718598\pi\)
0.986721 + 0.162424i \(0.0519313\pi\)
\(720\) 11.0965 41.6617i 0.413544 1.55264i
\(721\) 1.47570 + 2.41437i 0.0549580 + 0.0899160i
\(722\) 25.7458 + 7.69057i 0.958160 + 0.286213i
\(723\) −18.3036 10.5676i −0.680717 0.393012i
\(724\) −1.15202 + 20.2069i −0.0428145 + 0.750985i
\(725\) −24.6670 26.2466i −0.916109 0.974773i
\(726\) 59.4568 56.1637i 2.20665 2.08443i
\(727\) 36.7341i 1.36239i 0.732100 + 0.681197i \(0.238540\pi\)
−0.732100 + 0.681197i \(0.761460\pi\)
\(728\) 22.6664 4.62778i 0.840071 0.171517i
\(729\) −43.7934 −1.62198
\(730\) 28.3637 2.47153i 1.04979 0.0914756i
\(731\) −21.9300 + 12.6613i −0.811110 + 0.468295i
\(732\) −1.42798 + 25.0474i −0.0527797 + 0.925780i
\(733\) −29.6150 17.0982i −1.09386 0.631538i −0.159256 0.987237i \(-0.550909\pi\)
−0.934600 + 0.355699i \(0.884243\pi\)
\(734\) −4.61255 + 15.4415i −0.170252 + 0.569956i
\(735\) −4.21110 + 43.5688i −0.155329 + 1.60706i
\(736\) 1.68764 + 14.0641i 0.0622073 + 0.518408i
\(737\) −24.3274 14.0454i −0.896112 0.517370i
\(738\) −70.7402 + 16.8116i −2.60398 + 0.618844i
\(739\) 4.15465 + 7.19607i 0.152831 + 0.264712i 0.932267 0.361770i \(-0.117828\pi\)
−0.779436 + 0.626482i \(0.784494\pi\)
\(740\) 1.96898 + 0.406017i 0.0723810 + 0.0149255i
\(741\) −0.0895055 −0.00328807
\(742\) −11.4494 11.5286i −0.420320 0.423229i
\(743\) 35.6106 1.30642 0.653212 0.757175i \(-0.273421\pi\)
0.653212 + 0.757175i \(0.273421\pi\)
\(744\) −38.8755 + 6.92868i −1.42525 + 0.254018i
\(745\) 17.5980 + 2.59504i 0.644741 + 0.0950749i
\(746\) −9.72106 40.9044i −0.355913 1.49762i
\(747\) −27.3090 + 47.3006i −0.999185 + 1.73064i
\(748\) −25.2494 16.5624i −0.923211 0.605583i
\(749\) 1.31711 + 2.15490i 0.0481261 + 0.0787384i
\(750\) −29.4698 + 32.9637i −1.07609 + 1.20366i
\(751\) −2.56757 1.48238i −0.0936918 0.0540930i 0.452422 0.891804i \(-0.350560\pi\)
−0.546114 + 0.837711i \(0.683893\pi\)
\(752\) −4.59790 3.40549i −0.167668 0.124185i
\(753\) −58.5132 + 33.7826i −2.13234 + 1.23111i
\(754\) −22.8946 + 21.6266i −0.833774 + 0.787593i
\(755\) −27.7052 + 34.9697i −1.00830 + 1.27268i
\(756\) 14.2057 22.8856i 0.516658 0.832341i
\(757\) −50.4876 −1.83500 −0.917502 0.397732i \(-0.869797\pi\)
−0.917502 + 0.397732i \(0.869797\pi\)
\(758\) 36.7133 34.6798i 1.33349 1.25963i
\(759\) −19.7070 34.1335i −0.715319 1.23897i
\(760\) 0.0344247 + 0.0557013i 0.00124872 + 0.00202050i
\(761\) 34.8961 + 20.1473i 1.26498 + 0.730339i 0.974035 0.226399i \(-0.0726955\pi\)
0.290950 + 0.956738i \(0.406029\pi\)
\(762\) 55.8777 + 16.6913i 2.02424 + 0.604663i
\(763\) −2.26867 + 0.0567881i −0.0821314 + 0.00205587i
\(764\) −13.0382 + 19.8768i −0.471706 + 0.719117i
\(765\) 26.8804 10.6490i 0.971864 0.385014i
\(766\) −43.0018 + 10.2195i −1.55372 + 0.369246i
\(767\) 0.572629 + 0.991823i 0.0206764 + 0.0358126i
\(768\) 13.0431 + 42.8004i 0.470651 + 1.54443i
\(769\) 19.4159i 0.700154i −0.936721 0.350077i \(-0.886155\pi\)
0.936721 0.350077i \(-0.113845\pi\)
\(770\) 43.1580 + 18.8428i 1.55531 + 0.679047i
\(771\) −30.0096 −1.08077
\(772\) −1.51771 3.01277i −0.0546235 0.108432i
\(773\) −3.26975 + 1.88779i −0.117605 + 0.0678992i −0.557649 0.830077i \(-0.688296\pi\)
0.440044 + 0.897976i \(0.354963\pi\)
\(774\) −62.6086 + 14.8791i −2.25042