Properties

Label 731.2.e.a.307.14
Level 731
Weight 2
Character 731.307
Analytic conductor 5.837
Analytic rank 0
Dimension 58
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(58\)
Relative dimension: \(29\) over \(\Q(\zeta_{3})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 307.14
Character \(\chi\) = 731.307
Dual form 731.2.e.a.681.14

$q$-expansion

\(f(q)\) \(=\) \(q-0.410035 q^{2} +(0.529064 - 0.916365i) q^{3} -1.83187 q^{4} +(2.19207 - 3.79678i) q^{5} +(-0.216935 + 0.375742i) q^{6} +(-1.90032 - 3.29146i) q^{7} +1.57120 q^{8} +(0.940183 + 1.62845i) q^{9} +O(q^{10})\) \(q-0.410035 q^{2} +(0.529064 - 0.916365i) q^{3} -1.83187 q^{4} +(2.19207 - 3.79678i) q^{5} +(-0.216935 + 0.375742i) q^{6} +(-1.90032 - 3.29146i) q^{7} +1.57120 q^{8} +(0.940183 + 1.62845i) q^{9} +(-0.898826 + 1.55681i) q^{10} +4.56962 q^{11} +(-0.969177 + 1.67866i) q^{12} +(-1.14248 - 1.97883i) q^{13} +(0.779199 + 1.34961i) q^{14} +(-2.31949 - 4.01748i) q^{15} +3.01950 q^{16} +(0.500000 + 0.866025i) q^{17} +(-0.385508 - 0.667719i) q^{18} +(2.28070 - 3.95030i) q^{19} +(-4.01559 + 6.95521i) q^{20} -4.02157 q^{21} -1.87370 q^{22} +(-2.62422 + 4.54528i) q^{23} +(0.831265 - 1.43979i) q^{24} +(-7.11035 - 12.3155i) q^{25} +(0.468456 + 0.811389i) q^{26} +5.16405 q^{27} +(3.48115 + 6.02952i) q^{28} +(-0.0215754 - 0.0373696i) q^{29} +(0.951072 + 1.64730i) q^{30} +(-3.74995 + 6.49511i) q^{31} -4.38050 q^{32} +(2.41762 - 4.18744i) q^{33} +(-0.205017 - 0.355101i) q^{34} -16.6626 q^{35} +(-1.72229 - 2.98310i) q^{36} +(1.15841 - 2.00642i) q^{37} +(-0.935168 + 1.61976i) q^{38} -2.41777 q^{39} +(3.44418 - 5.96550i) q^{40} -3.23439 q^{41} +1.64898 q^{42} +(-5.75125 + 3.15009i) q^{43} -8.37096 q^{44} +8.24379 q^{45} +(1.07602 - 1.86372i) q^{46} +0.640636 q^{47} +(1.59751 - 2.76696i) q^{48} +(-3.72246 + 6.44748i) q^{49} +(2.91549 + 5.04978i) q^{50} +1.05813 q^{51} +(2.09287 + 3.62496i) q^{52} +(-4.87180 + 8.43820i) q^{53} -2.11744 q^{54} +(10.0169 - 17.3498i) q^{55} +(-2.98579 - 5.17154i) q^{56} +(-2.41328 - 4.17992i) q^{57} +(0.00884665 + 0.0153229i) q^{58} +13.4659 q^{59} +(4.24901 + 7.35950i) q^{60} +(-0.397240 - 0.688040i) q^{61} +(1.53761 - 2.66322i) q^{62} +(3.57330 - 6.18914i) q^{63} -4.24283 q^{64} -10.0176 q^{65} +(-0.991309 + 1.71700i) q^{66} +(7.49143 - 12.9755i) q^{67} +(-0.915936 - 1.58645i) q^{68} +(2.77676 + 4.80949i) q^{69} +6.83224 q^{70} +(4.88883 + 8.46771i) q^{71} +(1.47722 + 2.55861i) q^{72} +(-3.43558 - 5.95060i) q^{73} +(-0.474987 + 0.822702i) q^{74} -15.0473 q^{75} +(-4.17796 + 7.23643i) q^{76} +(-8.68376 - 15.0407i) q^{77} +0.991371 q^{78} +(1.60515 + 2.78020i) q^{79} +(6.61895 - 11.4644i) q^{80} +(-0.0884386 + 0.153180i) q^{81} +1.32621 q^{82} +(-0.982421 + 1.70160i) q^{83} +7.36700 q^{84} +4.38414 q^{85} +(2.35821 - 1.29165i) q^{86} -0.0456590 q^{87} +7.17979 q^{88} +(3.53902 - 6.12976i) q^{89} -3.38024 q^{90} +(-4.34215 + 7.52083i) q^{91} +(4.80723 - 8.32637i) q^{92} +(3.96793 + 6.87265i) q^{93} -0.262683 q^{94} +(-9.99893 - 17.3187i) q^{95} +(-2.31756 + 4.01414i) q^{96} -1.00222 q^{97} +(1.52634 - 2.64369i) q^{98} +(4.29628 + 7.44138i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 58q - 6q^{2} + 3q^{3} + 54q^{4} - q^{5} + 12q^{6} + 7q^{7} - 12q^{8} - 22q^{9} + O(q^{10}) \) \( 58q - 6q^{2} + 3q^{3} + 54q^{4} - q^{5} + 12q^{6} + 7q^{7} - 12q^{8} - 22q^{9} + 4q^{10} + 16q^{11} + 12q^{12} + 2q^{13} - 11q^{14} + 7q^{15} + 30q^{16} + 29q^{17} + 8q^{18} + 8q^{19} - 33q^{20} - 26q^{21} - 22q^{22} - 5q^{23} + 12q^{24} - 36q^{25} - 12q^{27} + 15q^{28} + 2q^{29} + 11q^{30} + 3q^{31} - 40q^{32} + 17q^{33} - 3q^{34} + 38q^{35} - 7q^{36} + 2q^{37} + q^{38} - 54q^{39} + 5q^{40} + 14q^{41} - 112q^{42} + 31q^{43} - 24q^{44} - 46q^{45} - 13q^{46} - 28q^{47} - 28q^{49} - 13q^{50} + 6q^{51} + 85q^{52} - 10q^{53} + 34q^{54} + 36q^{55} - 54q^{56} - 23q^{57} + 3q^{58} + 12q^{59} + 2q^{60} - q^{61} - q^{62} - 14q^{63} + 28q^{64} + 80q^{65} - 74q^{66} + 11q^{67} + 27q^{68} - 11q^{69} + 2q^{70} + 16q^{71} + 21q^{72} + 14q^{73} + 21q^{74} - 54q^{75} + 44q^{76} + 25q^{77} + 88q^{78} - 4q^{79} - 112q^{80} + 11q^{81} - 176q^{82} - 3q^{83} + 100q^{84} - 2q^{85} + 44q^{86} + 8q^{87} - 106q^{88} + 82q^{89} + 54q^{90} - 15q^{91} + 42q^{92} + 88q^{94} + 29q^{95} + 20q^{96} + 20q^{97} + 44q^{98} - 54q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.410035 −0.289938 −0.144969 0.989436i \(-0.546308\pi\)
−0.144969 + 0.989436i \(0.546308\pi\)
\(3\) 0.529064 0.916365i 0.305455 0.529064i −0.671907 0.740635i \(-0.734525\pi\)
0.977363 + 0.211571i \(0.0678581\pi\)
\(4\) −1.83187 −0.915936
\(5\) 2.19207 3.79678i 0.980324 1.69797i 0.319213 0.947683i \(-0.396582\pi\)
0.661111 0.750288i \(-0.270085\pi\)
\(6\) −0.216935 + 0.375742i −0.0885632 + 0.153396i
\(7\) −1.90032 3.29146i −0.718255 1.24405i −0.961691 0.274137i \(-0.911608\pi\)
0.243436 0.969917i \(-0.421725\pi\)
\(8\) 1.57120 0.555503
\(9\) 0.940183 + 1.62845i 0.313394 + 0.542815i
\(10\) −0.898826 + 1.55681i −0.284234 + 0.492307i
\(11\) 4.56962 1.37779 0.688896 0.724860i \(-0.258096\pi\)
0.688896 + 0.724860i \(0.258096\pi\)
\(12\) −0.969177 + 1.67866i −0.279777 + 0.484588i
\(13\) −1.14248 1.97883i −0.316866 0.548828i 0.662966 0.748649i \(-0.269297\pi\)
−0.979832 + 0.199821i \(0.935964\pi\)
\(14\) 0.779199 + 1.34961i 0.208250 + 0.360699i
\(15\) −2.31949 4.01748i −0.598890 1.03731i
\(16\) 3.01950 0.754874
\(17\) 0.500000 + 0.866025i 0.121268 + 0.210042i
\(18\) −0.385508 0.667719i −0.0908651 0.157383i
\(19\) 2.28070 3.95030i 0.523229 0.906260i −0.476405 0.879226i \(-0.658060\pi\)
0.999635 0.0270340i \(-0.00860623\pi\)
\(20\) −4.01559 + 6.95521i −0.897914 + 1.55523i
\(21\) −4.02157 −0.877578
\(22\) −1.87370 −0.399475
\(23\) −2.62422 + 4.54528i −0.547188 + 0.947757i 0.451278 + 0.892383i \(0.350968\pi\)
−0.998466 + 0.0553733i \(0.982365\pi\)
\(24\) 0.831265 1.43979i 0.169681 0.293897i
\(25\) −7.11035 12.3155i −1.42207 2.46310i
\(26\) 0.468456 + 0.811389i 0.0918717 + 0.159126i
\(27\) 5.16405 0.993822
\(28\) 3.48115 + 6.02952i 0.657875 + 1.13947i
\(29\) −0.0215754 0.0373696i −0.00400645 0.00693937i 0.864015 0.503466i \(-0.167942\pi\)
−0.868022 + 0.496526i \(0.834609\pi\)
\(30\) 0.951072 + 1.64730i 0.173641 + 0.300755i
\(31\) −3.74995 + 6.49511i −0.673512 + 1.16656i 0.303390 + 0.952866i \(0.401882\pi\)
−0.976902 + 0.213690i \(0.931452\pi\)
\(32\) −4.38050 −0.774370
\(33\) 2.41762 4.18744i 0.420854 0.728940i
\(34\) −0.205017 0.355101i −0.0351602 0.0608993i
\(35\) −16.6626 −2.81649
\(36\) −1.72229 2.98310i −0.287049 0.497184i
\(37\) 1.15841 2.00642i 0.190441 0.329853i −0.754956 0.655776i \(-0.772342\pi\)
0.945396 + 0.325923i \(0.105675\pi\)
\(38\) −0.935168 + 1.61976i −0.151704 + 0.262760i
\(39\) −2.41777 −0.387154
\(40\) 3.44418 5.96550i 0.544573 0.943229i
\(41\) −3.23439 −0.505126 −0.252563 0.967580i \(-0.581274\pi\)
−0.252563 + 0.967580i \(0.581274\pi\)
\(42\) 1.64898 0.254444
\(43\) −5.75125 + 3.15009i −0.877058 + 0.480385i
\(44\) −8.37096 −1.26197
\(45\) 8.24379 1.22891
\(46\) 1.07602 1.86372i 0.158651 0.274791i
\(47\) 0.640636 0.0934464 0.0467232 0.998908i \(-0.485122\pi\)
0.0467232 + 0.998908i \(0.485122\pi\)
\(48\) 1.59751 2.76696i 0.230580 0.399376i
\(49\) −3.72246 + 6.44748i −0.531779 + 0.921069i
\(50\) 2.91549 + 5.04978i 0.412313 + 0.714147i
\(51\) 1.05813 0.148167
\(52\) 2.09287 + 3.62496i 0.290229 + 0.502692i
\(53\) −4.87180 + 8.43820i −0.669193 + 1.15908i 0.308937 + 0.951083i \(0.400027\pi\)
−0.978130 + 0.207994i \(0.933307\pi\)
\(54\) −2.11744 −0.288147
\(55\) 10.0169 17.3498i 1.35068 2.33945i
\(56\) −2.98579 5.17154i −0.398993 0.691076i
\(57\) −2.41328 4.17992i −0.319646 0.553643i
\(58\) 0.00884665 + 0.0153229i 0.00116162 + 0.00201199i
\(59\) 13.4659 1.75311 0.876553 0.481306i \(-0.159837\pi\)
0.876553 + 0.481306i \(0.159837\pi\)
\(60\) 4.24901 + 7.35950i 0.548545 + 0.950107i
\(61\) −0.397240 0.688040i −0.0508614 0.0880945i 0.839474 0.543400i \(-0.182863\pi\)
−0.890335 + 0.455306i \(0.849530\pi\)
\(62\) 1.53761 2.66322i 0.195277 0.338230i
\(63\) 3.57330 6.18914i 0.450194 0.779759i
\(64\) −4.24283 −0.530354
\(65\) −10.0176 −1.24253
\(66\) −0.991309 + 1.71700i −0.122022 + 0.211348i
\(67\) 7.49143 12.9755i 0.915224 1.58521i 0.108650 0.994080i \(-0.465347\pi\)
0.806573 0.591134i \(-0.201320\pi\)
\(68\) −0.915936 1.58645i −0.111074 0.192385i
\(69\) 2.77676 + 4.80949i 0.334282 + 0.578994i
\(70\) 6.83224 0.816608
\(71\) 4.88883 + 8.46771i 0.580198 + 1.00493i 0.995455 + 0.0952280i \(0.0303580\pi\)
−0.415258 + 0.909704i \(0.636309\pi\)
\(72\) 1.47722 + 2.55861i 0.174092 + 0.301536i
\(73\) −3.43558 5.95060i −0.402104 0.696465i 0.591875 0.806030i \(-0.298388\pi\)
−0.993980 + 0.109564i \(0.965054\pi\)
\(74\) −0.474987 + 0.822702i −0.0552161 + 0.0956372i
\(75\) −15.0473 −1.73751
\(76\) −4.17796 + 7.23643i −0.479244 + 0.830076i
\(77\) −8.68376 15.0407i −0.989606 1.71405i
\(78\) 0.991371 0.112251
\(79\) 1.60515 + 2.78020i 0.180594 + 0.312797i 0.942083 0.335380i \(-0.108865\pi\)
−0.761489 + 0.648178i \(0.775531\pi\)
\(80\) 6.61895 11.4644i 0.740021 1.28175i
\(81\) −0.0884386 + 0.153180i −0.00982651 + 0.0170200i
\(82\) 1.32621 0.146455
\(83\) −0.982421 + 1.70160i −0.107835 + 0.186775i −0.914893 0.403697i \(-0.867725\pi\)
0.807058 + 0.590472i \(0.201058\pi\)
\(84\) 7.36700 0.803805
\(85\) 4.38414 0.475527
\(86\) 2.35821 1.29165i 0.254293 0.139282i
\(87\) −0.0456590 −0.00489516
\(88\) 7.17979 0.765368
\(89\) 3.53902 6.12976i 0.375135 0.649754i −0.615212 0.788362i \(-0.710930\pi\)
0.990347 + 0.138608i \(0.0442629\pi\)
\(90\) −3.38024 −0.356309
\(91\) −4.34215 + 7.52083i −0.455181 + 0.788397i
\(92\) 4.80723 8.32637i 0.501189 0.868084i
\(93\) 3.96793 + 6.87265i 0.411455 + 0.712661i
\(94\) −0.262683 −0.0270937
\(95\) −9.99893 17.3187i −1.02587 1.77686i
\(96\) −2.31756 + 4.01414i −0.236535 + 0.409691i
\(97\) −1.00222 −0.101760 −0.0508798 0.998705i \(-0.516203\pi\)
−0.0508798 + 0.998705i \(0.516203\pi\)
\(98\) 1.52634 2.64369i 0.154183 0.267053i
\(99\) 4.29628 + 7.44138i 0.431792 + 0.747886i
\(100\) 13.0252 + 22.5604i 1.30252 + 2.25604i
\(101\) 6.46040 + 11.1897i 0.642834 + 1.11342i 0.984797 + 0.173708i \(0.0555747\pi\)
−0.341963 + 0.939713i \(0.611092\pi\)
\(102\) −0.433869 −0.0429594
\(103\) 4.72563 + 8.18503i 0.465630 + 0.806495i 0.999230 0.0392423i \(-0.0124944\pi\)
−0.533600 + 0.845737i \(0.679161\pi\)
\(104\) −1.79506 3.10914i −0.176020 0.304876i
\(105\) −8.81556 + 15.2690i −0.860311 + 1.49010i
\(106\) 1.99761 3.45996i 0.194025 0.336061i
\(107\) −4.58006 −0.442771 −0.221386 0.975186i \(-0.571058\pi\)
−0.221386 + 0.975186i \(0.571058\pi\)
\(108\) −9.45987 −0.910277
\(109\) −1.27518 + 2.20868i −0.122140 + 0.211553i −0.920611 0.390480i \(-0.872309\pi\)
0.798471 + 0.602033i \(0.205642\pi\)
\(110\) −4.10729 + 7.11404i −0.391615 + 0.678297i
\(111\) −1.22574 2.12305i −0.116342 0.201511i
\(112\) −5.73802 9.93854i −0.542192 0.939104i
\(113\) −12.7858 −1.20279 −0.601394 0.798952i \(-0.705388\pi\)
−0.601394 + 0.798952i \(0.705388\pi\)
\(114\) 0.989527 + 1.71391i 0.0926777 + 0.160522i
\(115\) 11.5049 + 19.9272i 1.07284 + 1.85822i
\(116\) 0.0395233 + 0.0684564i 0.00366965 + 0.00635601i
\(117\) 2.14828 3.72092i 0.198608 0.344000i
\(118\) −5.52147 −0.508293
\(119\) 1.90032 3.29146i 0.174202 0.301727i
\(120\) −3.64439 6.31226i −0.332685 0.576228i
\(121\) 9.88143 0.898312
\(122\) 0.162882 + 0.282121i 0.0147467 + 0.0255420i
\(123\) −1.71120 + 2.96388i −0.154293 + 0.267244i
\(124\) 6.86943 11.8982i 0.616893 1.06849i
\(125\) −40.4249 −3.61571
\(126\) −1.46518 + 2.53776i −0.130529 + 0.226082i
\(127\) −11.4257 −1.01387 −0.506936 0.861984i \(-0.669222\pi\)
−0.506936 + 0.861984i \(0.669222\pi\)
\(128\) 10.5007 0.928140
\(129\) −0.156142 + 6.93685i −0.0137475 + 0.610755i
\(130\) 4.10755 0.360256
\(131\) 22.1043 1.93126 0.965629 0.259925i \(-0.0836978\pi\)
0.965629 + 0.259925i \(0.0836978\pi\)
\(132\) −4.42877 + 7.67085i −0.385475 + 0.667662i
\(133\) −17.3363 −1.50325
\(134\) −3.07175 + 5.32042i −0.265359 + 0.459614i
\(135\) 11.3200 19.6068i 0.974267 1.68748i
\(136\) 0.785600 + 1.36070i 0.0673647 + 0.116679i
\(137\) 20.7847 1.77576 0.887880 0.460074i \(-0.152177\pi\)
0.887880 + 0.460074i \(0.152177\pi\)
\(138\) −1.13857 1.97206i −0.0969213 0.167873i
\(139\) 3.12951 5.42047i 0.265441 0.459758i −0.702238 0.711943i \(-0.747816\pi\)
0.967679 + 0.252184i \(0.0811490\pi\)
\(140\) 30.5237 2.57972
\(141\) 0.338937 0.587057i 0.0285437 0.0494391i
\(142\) −2.00459 3.47205i −0.168222 0.291368i
\(143\) −5.22069 9.04250i −0.436576 0.756172i
\(144\) 2.83888 + 4.91708i 0.236573 + 0.409757i
\(145\) −0.189179 −0.0157105
\(146\) 1.40871 + 2.43995i 0.116586 + 0.201932i
\(147\) 3.93883 + 6.82226i 0.324869 + 0.562690i
\(148\) −2.12205 + 3.67550i −0.174432 + 0.302124i
\(149\) 4.76325 8.25019i 0.390221 0.675882i −0.602258 0.798302i \(-0.705732\pi\)
0.992478 + 0.122420i \(0.0390654\pi\)
\(150\) 6.16992 0.503772
\(151\) −14.8899 −1.21173 −0.605863 0.795569i \(-0.707172\pi\)
−0.605863 + 0.795569i \(0.707172\pi\)
\(152\) 3.58344 6.20671i 0.290656 0.503430i
\(153\) −0.940183 + 1.62845i −0.0760093 + 0.131652i
\(154\) 3.56064 + 6.16721i 0.286925 + 0.496968i
\(155\) 16.4403 + 28.4755i 1.32052 + 2.28721i
\(156\) 4.42905 0.354608
\(157\) −0.676383 1.17153i −0.0539812 0.0934982i 0.837772 0.546020i \(-0.183858\pi\)
−0.891753 + 0.452522i \(0.850524\pi\)
\(158\) −0.658168 1.13998i −0.0523611 0.0906920i
\(159\) 5.15498 + 8.92870i 0.408817 + 0.708092i
\(160\) −9.60237 + 16.6318i −0.759134 + 1.31486i
\(161\) 19.9475 1.57208
\(162\) 0.0362629 0.0628092i 0.00284908 0.00493475i
\(163\) 11.8431 + 20.5128i 0.927620 + 1.60669i 0.787292 + 0.616580i \(0.211482\pi\)
0.140328 + 0.990105i \(0.455184\pi\)
\(164\) 5.92498 0.462663
\(165\) −10.5992 18.3583i −0.825146 1.42919i
\(166\) 0.402827 0.697717i 0.0312654 0.0541533i
\(167\) 6.39237 11.0719i 0.494657 0.856771i −0.505324 0.862930i \(-0.668627\pi\)
0.999981 + 0.00615889i \(0.00196045\pi\)
\(168\) −6.31869 −0.487498
\(169\) 3.88949 6.73679i 0.299192 0.518215i
\(170\) −1.79765 −0.137874
\(171\) 8.57712 0.655909
\(172\) 10.5356 5.77057i 0.803329 0.440002i
\(173\) −6.84806 −0.520648 −0.260324 0.965521i \(-0.583829\pi\)
−0.260324 + 0.965521i \(0.583829\pi\)
\(174\) 0.0187218 0.00141929
\(175\) −27.0239 + 46.8068i −2.04282 + 3.53826i
\(176\) 13.7979 1.04006
\(177\) 7.12430 12.3396i 0.535495 0.927504i
\(178\) −1.45112 + 2.51342i −0.108766 + 0.188389i
\(179\) 6.47251 + 11.2107i 0.483778 + 0.837928i 0.999826 0.0186315i \(-0.00593095\pi\)
−0.516049 + 0.856559i \(0.672598\pi\)
\(180\) −15.1016 −1.12560
\(181\) −6.91054 11.9694i −0.513657 0.889679i −0.999875 0.0158418i \(-0.994957\pi\)
0.486218 0.873838i \(-0.338376\pi\)
\(182\) 1.78043 3.08380i 0.131975 0.228587i
\(183\) −0.840662 −0.0621435
\(184\) −4.12318 + 7.14155i −0.303965 + 0.526482i
\(185\) −5.07862 8.79643i −0.373388 0.646726i
\(186\) −1.62699 2.81803i −0.119297 0.206628i
\(187\) 2.28481 + 3.95741i 0.167082 + 0.289394i
\(188\) −1.17356 −0.0855909
\(189\) −9.81336 16.9972i −0.713817 1.23637i
\(190\) 4.09991 + 7.10125i 0.297439 + 0.515179i
\(191\) −3.65796 + 6.33577i −0.264681 + 0.458440i −0.967480 0.252948i \(-0.918600\pi\)
0.702799 + 0.711388i \(0.251933\pi\)
\(192\) −2.24473 + 3.88798i −0.161999 + 0.280591i
\(193\) 2.10692 0.151659 0.0758296 0.997121i \(-0.475839\pi\)
0.0758296 + 0.997121i \(0.475839\pi\)
\(194\) 0.410944 0.0295040
\(195\) −5.29993 + 9.17975i −0.379536 + 0.657376i
\(196\) 6.81906 11.8110i 0.487076 0.843640i
\(197\) 2.66170 + 4.61021i 0.189639 + 0.328464i 0.945130 0.326695i \(-0.105935\pi\)
−0.755491 + 0.655159i \(0.772602\pi\)
\(198\) −1.76162 3.05122i −0.125193 0.216841i
\(199\) −9.62767 −0.682488 −0.341244 0.939975i \(-0.610848\pi\)
−0.341244 + 0.939975i \(0.610848\pi\)
\(200\) −11.1718 19.3501i −0.789965 1.36826i
\(201\) −7.92689 13.7298i −0.559119 0.968423i
\(202\) −2.64899 4.58818i −0.186382 0.322823i
\(203\) −0.0820003 + 0.142029i −0.00575530 + 0.00996847i
\(204\) −1.93835 −0.135712
\(205\) −7.09000 + 12.2802i −0.495187 + 0.857689i
\(206\) −1.93767 3.35615i −0.135004 0.233834i
\(207\) −9.86899 −0.685942
\(208\) −3.44971 5.97507i −0.239194 0.414296i
\(209\) 10.4220 18.0513i 0.720901 1.24864i
\(210\) 3.61469 6.26082i 0.249437 0.432038i
\(211\) 14.3165 0.985587 0.492794 0.870146i \(-0.335976\pi\)
0.492794 + 0.870146i \(0.335976\pi\)
\(212\) 8.92451 15.4577i 0.612938 1.06164i
\(213\) 10.3460 0.708897
\(214\) 1.87798 0.128376
\(215\) −0.646942 + 28.7415i −0.0441210 + 1.96015i
\(216\) 8.11376 0.552071
\(217\) 28.5045 1.93501
\(218\) 0.522868 0.905635i 0.0354131 0.0613373i
\(219\) −7.27057 −0.491299
\(220\) −18.3497 + 31.7827i −1.23714 + 2.14279i
\(221\) 1.14248 1.97883i 0.0768514 0.133110i
\(222\) 0.502597 + 0.870524i 0.0337321 + 0.0584257i
\(223\) −4.15793 −0.278436 −0.139218 0.990262i \(-0.544459\pi\)
−0.139218 + 0.990262i \(0.544459\pi\)
\(224\) 8.32437 + 14.4182i 0.556195 + 0.963358i
\(225\) 13.3701 23.1576i 0.891338 1.54384i
\(226\) 5.24263 0.348735
\(227\) 8.70030 15.0694i 0.577459 1.00019i −0.418311 0.908304i \(-0.637378\pi\)
0.995770 0.0918842i \(-0.0292890\pi\)
\(228\) 4.42081 + 7.65707i 0.292775 + 0.507102i
\(229\) −2.59856 4.50083i −0.171718 0.297423i 0.767303 0.641285i \(-0.221598\pi\)
−0.939020 + 0.343861i \(0.888265\pi\)
\(230\) −4.71743 8.17083i −0.311058 0.538769i
\(231\) −18.3770 −1.20912
\(232\) −0.0338992 0.0587152i −0.00222559 0.00385484i
\(233\) −5.09410 8.82324i −0.333726 0.578030i 0.649513 0.760350i \(-0.274973\pi\)
−0.983239 + 0.182320i \(0.941639\pi\)
\(234\) −0.880868 + 1.52571i −0.0575842 + 0.0997387i
\(235\) 1.40432 2.43235i 0.0916078 0.158669i
\(236\) −24.6677 −1.60573
\(237\) 3.39691 0.220653
\(238\) −0.779199 + 1.34961i −0.0505080 + 0.0874823i
\(239\) 4.74216 8.21365i 0.306745 0.531297i −0.670904 0.741545i \(-0.734094\pi\)
0.977648 + 0.210247i \(0.0674269\pi\)
\(240\) −7.00369 12.1307i −0.452086 0.783036i
\(241\) 0.826008 + 1.43069i 0.0532079 + 0.0921587i 0.891403 0.453212i \(-0.149722\pi\)
−0.838195 + 0.545371i \(0.816389\pi\)
\(242\) −4.05173 −0.260455
\(243\) 7.83965 + 13.5787i 0.502914 + 0.871073i
\(244\) 0.727693 + 1.26040i 0.0465858 + 0.0806889i
\(245\) 16.3198 + 28.2667i 1.04263 + 1.80589i
\(246\) 0.701650 1.21529i 0.0447356 0.0774843i
\(247\) −10.4226 −0.663175
\(248\) −5.89193 + 10.2051i −0.374138 + 0.648026i
\(249\) 1.03953 + 1.80051i 0.0658773 + 0.114103i
\(250\) 16.5756 1.04833
\(251\) 1.77543 + 3.07513i 0.112064 + 0.194101i 0.916602 0.399800i \(-0.130920\pi\)
−0.804538 + 0.593901i \(0.797587\pi\)
\(252\) −6.54583 + 11.3377i −0.412349 + 0.714209i
\(253\) −11.9917 + 20.7702i −0.753911 + 1.30581i
\(254\) 4.68495 0.293960
\(255\) 2.31949 4.01748i 0.145252 0.251584i
\(256\) 4.18001 0.261251
\(257\) −25.1009 −1.56575 −0.782876 0.622178i \(-0.786248\pi\)
−0.782876 + 0.622178i \(0.786248\pi\)
\(258\) 0.0640235 2.84435i 0.00398593 0.177081i
\(259\) −8.80539 −0.547140
\(260\) 18.3509 1.13807
\(261\) 0.0405696 0.0702686i 0.00251120 0.00434952i
\(262\) −9.06352 −0.559946
\(263\) 8.12117 14.0663i 0.500773 0.867364i −0.499227 0.866472i \(-0.666382\pi\)
1.00000 0.000892891i \(-0.000284216\pi\)
\(264\) 3.79857 6.57931i 0.233786 0.404929i
\(265\) 21.3587 + 36.9943i 1.31205 + 2.27254i
\(266\) 7.10849 0.435849
\(267\) −3.74473 6.48607i −0.229174 0.396941i
\(268\) −13.7233 + 23.7695i −0.838286 + 1.45195i
\(269\) 15.3826 0.937893 0.468946 0.883227i \(-0.344634\pi\)
0.468946 + 0.883227i \(0.344634\pi\)
\(270\) −4.64158 + 8.03945i −0.282478 + 0.489265i
\(271\) 6.15349 + 10.6582i 0.373798 + 0.647437i 0.990146 0.140037i \(-0.0447220\pi\)
−0.616348 + 0.787474i \(0.711389\pi\)
\(272\) 1.50975 + 2.61496i 0.0915419 + 0.158555i
\(273\) 4.59455 + 7.95800i 0.278075 + 0.481640i
\(274\) −8.52247 −0.514861
\(275\) −32.4916 56.2771i −1.95932 3.39364i
\(276\) −5.08666 8.81036i −0.306181 0.530321i
\(277\) 3.00692 5.20813i 0.180668 0.312926i −0.761440 0.648235i \(-0.775507\pi\)
0.942108 + 0.335309i \(0.108841\pi\)
\(278\) −1.28321 + 2.22258i −0.0769617 + 0.133302i
\(279\) −14.1026 −0.844299
\(280\) −26.1802 −1.56457
\(281\) 4.56934 7.91432i 0.272584 0.472129i −0.696939 0.717131i \(-0.745455\pi\)
0.969523 + 0.245002i \(0.0787885\pi\)
\(282\) −0.138976 + 0.240714i −0.00827591 + 0.0143343i
\(283\) 3.01906 + 5.22916i 0.179464 + 0.310841i 0.941697 0.336462i \(-0.109230\pi\)
−0.762233 + 0.647303i \(0.775897\pi\)
\(284\) −8.95571 15.5117i −0.531424 0.920453i
\(285\) −21.1603 −1.25343
\(286\) 2.14066 + 3.70774i 0.126580 + 0.219243i
\(287\) 6.14638 + 10.6458i 0.362809 + 0.628404i
\(288\) −4.11847 7.13340i −0.242683 0.420340i
\(289\) −0.500000 + 0.866025i −0.0294118 + 0.0509427i
\(290\) 0.0775700 0.00455507
\(291\) −0.530236 + 0.918396i −0.0310830 + 0.0538374i
\(292\) 6.29354 + 10.9007i 0.368302 + 0.637917i
\(293\) 21.4602 1.25372 0.626858 0.779134i \(-0.284341\pi\)
0.626858 + 0.779134i \(0.284341\pi\)
\(294\) −1.61506 2.79736i −0.0941921 0.163146i
\(295\) 29.5181 51.1269i 1.71861 2.97672i
\(296\) 1.82009 3.15249i 0.105791 0.183235i
\(297\) 23.5977 1.36928
\(298\) −1.95310 + 3.38287i −0.113140 + 0.195964i
\(299\) 11.9924 0.693541
\(300\) 27.5647 1.59145
\(301\) 21.2976 + 12.9438i 1.22758 + 0.746068i
\(302\) 6.10540 0.351326
\(303\) 13.6719 0.785427
\(304\) 6.88658 11.9279i 0.394972 0.684112i
\(305\) −3.48312 −0.199443
\(306\) 0.385508 0.667719i 0.0220380 0.0381710i
\(307\) −8.95831 + 15.5162i −0.511278 + 0.885559i 0.488637 + 0.872487i \(0.337494\pi\)
−0.999915 + 0.0130716i \(0.995839\pi\)
\(308\) 15.9075 + 27.5526i 0.906415 + 1.56996i
\(309\) 10.0006 0.568916
\(310\) −6.74111 11.6759i −0.382869 0.663149i
\(311\) −2.39576 + 4.14958i −0.135851 + 0.235301i −0.925922 0.377714i \(-0.876710\pi\)
0.790071 + 0.613015i \(0.210044\pi\)
\(312\) −3.79881 −0.215065
\(313\) −5.03667 + 8.72376i −0.284689 + 0.493096i −0.972534 0.232762i \(-0.925224\pi\)
0.687845 + 0.725858i \(0.258557\pi\)
\(314\) 0.277340 + 0.480368i 0.0156512 + 0.0271087i
\(315\) −15.6659 27.1341i −0.882672 1.52883i
\(316\) −2.94043 5.09298i −0.165412 0.286502i
\(317\) −28.3469 −1.59212 −0.796061 0.605216i \(-0.793087\pi\)
−0.796061 + 0.605216i \(0.793087\pi\)
\(318\) −2.11372 3.66108i −0.118532 0.205303i
\(319\) −0.0985912 0.170765i −0.00552005 0.00956101i
\(320\) −9.30059 + 16.1091i −0.519919 + 0.900526i
\(321\) −2.42314 + 4.19701i −0.135247 + 0.234254i
\(322\) −8.17915 −0.455806
\(323\) 4.56141 0.253804
\(324\) 0.162008 0.280606i 0.00900045 0.0155892i
\(325\) −16.2468 + 28.1403i −0.901212 + 1.56095i
\(326\) −4.85607 8.41096i −0.268953 0.465840i
\(327\) 1.34930 + 2.33706i 0.0746166 + 0.129240i
\(328\) −5.08187 −0.280599
\(329\) −1.21742 2.10863i −0.0671183 0.116252i
\(330\) 4.34604 + 7.52756i 0.239242 + 0.414378i
\(331\) −7.83326 13.5676i −0.430555 0.745743i 0.566366 0.824154i \(-0.308349\pi\)
−0.996921 + 0.0784108i \(0.975015\pi\)
\(332\) 1.79967 3.11712i 0.0987697 0.171074i
\(333\) 4.35646 0.238732
\(334\) −2.62110 + 4.53987i −0.143420 + 0.248411i
\(335\) −32.8435 56.8866i −1.79443 3.10805i
\(336\) −12.1431 −0.662461
\(337\) −12.8358 22.2322i −0.699210 1.21107i −0.968741 0.248075i \(-0.920202\pi\)
0.269531 0.962992i \(-0.413131\pi\)
\(338\) −1.59483 + 2.76232i −0.0867471 + 0.150250i
\(339\) −6.76451 + 11.7165i −0.367398 + 0.636352i
\(340\) −8.03118 −0.435552
\(341\) −17.1359 + 29.6802i −0.927959 + 1.60727i
\(342\) −3.51692 −0.190173
\(343\) 1.69095 0.0913028
\(344\) −9.03637 + 4.94943i −0.487209 + 0.266855i
\(345\) 24.3474 1.31082
\(346\) 2.80794 0.150956
\(347\) −12.8355 + 22.2317i −0.689043 + 1.19346i 0.283104 + 0.959089i \(0.408636\pi\)
−0.972148 + 0.234369i \(0.924698\pi\)
\(348\) 0.0836414 0.00448365
\(349\) 5.27008 9.12805i 0.282101 0.488613i −0.689801 0.723999i \(-0.742302\pi\)
0.971902 + 0.235386i \(0.0756353\pi\)
\(350\) 11.0808 19.1924i 0.592291 1.02588i
\(351\) −5.89981 10.2188i −0.314909 0.545438i
\(352\) −20.0172 −1.06692
\(353\) −12.4744 21.6064i −0.663947 1.14999i −0.979570 0.201105i \(-0.935547\pi\)
0.315622 0.948885i \(-0.397787\pi\)
\(354\) −2.92121 + 5.05968i −0.155261 + 0.268919i
\(355\) 42.8667 2.27513
\(356\) −6.48303 + 11.2289i −0.343600 + 0.595132i
\(357\) −2.01078 3.48278i −0.106422 0.184328i
\(358\) −2.65395 4.59678i −0.140266 0.242947i
\(359\) 1.84904 + 3.20264i 0.0975888 + 0.169029i 0.910686 0.413099i \(-0.135554\pi\)
−0.813097 + 0.582128i \(0.802220\pi\)
\(360\) 12.9527 0.682665
\(361\) −0.903221 1.56443i −0.0475380 0.0823382i
\(362\) 2.83356 + 4.90788i 0.148929 + 0.257952i
\(363\) 5.22791 9.05500i 0.274394 0.475264i
\(364\) 7.95427 13.7772i 0.416917 0.722121i
\(365\) −30.1242 −1.57677
\(366\) 0.344701 0.0180178
\(367\) 12.9914 22.5017i 0.678145 1.17458i −0.297394 0.954755i \(-0.596118\pi\)
0.975539 0.219826i \(-0.0705491\pi\)
\(368\) −7.92382 + 13.7245i −0.413058 + 0.715437i
\(369\) −3.04091 5.26702i −0.158304 0.274190i
\(370\) 2.08241 + 3.60684i 0.108259 + 0.187511i
\(371\) 37.0320 1.92260
\(372\) −7.26874 12.5898i −0.376866 0.652752i
\(373\) −10.9199 18.9138i −0.565409 0.979317i −0.997012 0.0772531i \(-0.975385\pi\)
0.431603 0.902064i \(-0.357948\pi\)
\(374\) −0.936852 1.62267i −0.0484435 0.0839065i
\(375\) −21.3873 + 37.0439i −1.10444 + 1.91294i
\(376\) 1.00657 0.0519098
\(377\) −0.0492987 + 0.0853879i −0.00253901 + 0.00439770i
\(378\) 4.02382 + 6.96946i 0.206963 + 0.358470i
\(379\) 0.895801 0.0460142 0.0230071 0.999735i \(-0.492676\pi\)
0.0230071 + 0.999735i \(0.492676\pi\)
\(380\) 18.3168 + 31.7255i 0.939630 + 1.62749i
\(381\) −6.04495 + 10.4702i −0.309692 + 0.536402i
\(382\) 1.49989 2.59789i 0.0767411 0.132919i
\(383\) 16.0390 0.819556 0.409778 0.912185i \(-0.365606\pi\)
0.409778 + 0.912185i \(0.365606\pi\)
\(384\) 5.55554 9.62249i 0.283505 0.491045i
\(385\) −76.1416 −3.88054
\(386\) −0.863909 −0.0439718
\(387\) −10.5370 6.40393i −0.535625 0.325530i
\(388\) 1.83593 0.0932053
\(389\) 11.0292 0.559200 0.279600 0.960117i \(-0.409798\pi\)
0.279600 + 0.960117i \(0.409798\pi\)
\(390\) 2.17316 3.76402i 0.110042 0.190598i
\(391\) −5.24844 −0.265425
\(392\) −5.84873 + 10.1303i −0.295405 + 0.511657i
\(393\) 11.6946 20.2556i 0.589912 1.02176i
\(394\) −1.09139 1.89035i −0.0549835 0.0952342i
\(395\) 14.0744 0.708161
\(396\) −7.87023 13.6316i −0.395494 0.685016i
\(397\) −8.13765 + 14.0948i −0.408417 + 0.707399i −0.994713 0.102698i \(-0.967252\pi\)
0.586295 + 0.810097i \(0.300586\pi\)
\(398\) 3.94768 0.197879
\(399\) −9.17201 + 15.8864i −0.459175 + 0.795314i
\(400\) −21.4697 37.1866i −1.07348 1.85933i
\(401\) −13.7436 23.8047i −0.686324 1.18875i −0.973019 0.230727i \(-0.925890\pi\)
0.286694 0.958022i \(-0.407444\pi\)
\(402\) 3.25030 + 5.62968i 0.162110 + 0.280783i
\(403\) 17.1370 0.853652
\(404\) −11.8346 20.4982i −0.588794 1.01982i
\(405\) 0.387727 + 0.671563i 0.0192663 + 0.0333702i
\(406\) 0.0336230 0.0582367i 0.00166868 0.00289024i
\(407\) 5.29348 9.16858i 0.262388 0.454469i
\(408\) 1.66253 0.0823075
\(409\) 29.9013 1.47853 0.739263 0.673417i \(-0.235174\pi\)
0.739263 + 0.673417i \(0.235174\pi\)
\(410\) 2.90715 5.03533i 0.143574 0.248677i
\(411\) 10.9965 19.0464i 0.542415 0.939491i
\(412\) −8.65674 14.9939i −0.426487 0.738697i
\(413\) −25.5895 44.3223i −1.25918 2.18096i
\(414\) 4.04663 0.198881
\(415\) 4.30707 + 7.46007i 0.211426 + 0.366201i
\(416\) 5.00462 + 8.66826i 0.245372 + 0.424996i
\(417\) −3.31142 5.73555i −0.162161 0.280871i
\(418\) −4.27336 + 7.40168i −0.209017 + 0.362028i
\(419\) 4.08250 0.199443 0.0997216 0.995015i \(-0.468205\pi\)
0.0997216 + 0.995015i \(0.468205\pi\)
\(420\) 16.1490 27.9708i 0.787989 1.36484i
\(421\) −5.19278 8.99416i −0.253081 0.438348i 0.711292 0.702897i \(-0.248110\pi\)
−0.964372 + 0.264548i \(0.914777\pi\)
\(422\) −5.87026 −0.285760
\(423\) 0.602315 + 1.04324i 0.0292856 + 0.0507241i
\(424\) −7.65458 + 13.2581i −0.371739 + 0.643871i
\(425\) 7.11035 12.3155i 0.344903 0.597389i
\(426\) −4.24223 −0.205537
\(427\) −1.50977 + 2.61500i −0.0730629 + 0.126549i
\(428\) 8.39008 0.405550
\(429\) −11.0483 −0.533417
\(430\) 0.265269 11.7850i 0.0127924 0.568323i
\(431\) −34.1665 −1.64574 −0.822872 0.568227i \(-0.807630\pi\)
−0.822872 + 0.568227i \(0.807630\pi\)
\(432\) 15.5928 0.750210
\(433\) −5.22285 + 9.04624i −0.250994 + 0.434734i −0.963800 0.266627i \(-0.914091\pi\)
0.712806 + 0.701361i \(0.247424\pi\)
\(434\) −11.6878 −0.561034
\(435\) −0.100088 + 0.173357i −0.00479884 + 0.00831183i
\(436\) 2.33597 4.04601i 0.111873 0.193769i
\(437\) 11.9701 + 20.7329i 0.572609 + 0.991788i
\(438\) 2.98119 0.142447
\(439\) 8.84676 + 15.3230i 0.422233 + 0.731329i 0.996158 0.0875794i \(-0.0279132\pi\)
−0.573925 + 0.818908i \(0.694580\pi\)
\(440\) 15.7386 27.2601i 0.750309 1.29957i
\(441\) −13.9992 −0.666627
\(442\) −0.468456 + 0.811389i −0.0222822 + 0.0385938i
\(443\) −6.44954 11.1709i −0.306427 0.530747i 0.671151 0.741321i \(-0.265800\pi\)
−0.977578 + 0.210573i \(0.932467\pi\)
\(444\) 2.24540 + 3.88915i 0.106562 + 0.184571i
\(445\) −15.5156 26.8738i −0.735508 1.27394i
\(446\) 1.70490 0.0807292
\(447\) −5.04012 8.72975i −0.238390 0.412903i
\(448\) 8.06275 + 13.9651i 0.380929 + 0.659789i
\(449\) −7.31037 + 12.6619i −0.344997 + 0.597553i −0.985353 0.170525i \(-0.945454\pi\)
0.640356 + 0.768078i \(0.278787\pi\)
\(450\) −5.48219 + 9.49544i −0.258433 + 0.447619i
\(451\) −14.7799 −0.695959
\(452\) 23.4220 1.10168
\(453\) −7.87773 + 13.6446i −0.370128 + 0.641080i
\(454\) −3.56742 + 6.17896i −0.167428 + 0.289993i
\(455\) 19.0366 + 32.9724i 0.892450 + 1.54577i
\(456\) −3.79174 6.56749i −0.177565 0.307551i
\(457\) 8.49549 0.397402 0.198701 0.980060i \(-0.436328\pi\)
0.198701 + 0.980060i \(0.436328\pi\)
\(458\) 1.06550 + 1.84550i 0.0497875 + 0.0862345i
\(459\) 2.58202 + 4.47220i 0.120519 + 0.208744i
\(460\) −21.0756 36.5040i −0.982654 1.70201i
\(461\) 4.69405 8.13034i 0.218624 0.378668i −0.735764 0.677238i \(-0.763177\pi\)
0.954387 + 0.298571i \(0.0965099\pi\)
\(462\) 7.53523 0.350570
\(463\) 4.78951 8.29568i 0.222588 0.385533i −0.733005 0.680223i \(-0.761883\pi\)
0.955593 + 0.294690i \(0.0952163\pi\)
\(464\) −0.0651467 0.112837i −0.00302436 0.00523835i
\(465\) 34.7919 1.61344
\(466\) 2.08876 + 3.61784i 0.0967599 + 0.167593i
\(467\) 9.89171 17.1329i 0.457734 0.792818i −0.541107 0.840954i \(-0.681995\pi\)
0.998841 + 0.0481356i \(0.0153280\pi\)
\(468\) −3.93537 + 6.81625i −0.181912 + 0.315081i
\(469\) −56.9445 −2.62945
\(470\) −0.575820 + 0.997350i −0.0265606 + 0.0460043i
\(471\) −1.43140 −0.0659553
\(472\) 21.1576 0.973856
\(473\) −26.2810 + 14.3947i −1.20840 + 0.661871i
\(474\) −1.39285 −0.0639758
\(475\) −64.8664 −2.97628
\(476\) −3.48115 + 6.02952i −0.159558 + 0.276363i
\(477\) −18.3215 −0.838886
\(478\) −1.94445 + 3.36788i −0.0889370 + 0.154043i
\(479\) −9.12646 + 15.8075i −0.416998 + 0.722263i −0.995636 0.0933223i \(-0.970251\pi\)
0.578637 + 0.815585i \(0.303585\pi\)
\(480\) 10.1605 + 17.5986i 0.463763 + 0.803260i
\(481\) −5.29382 −0.241377
\(482\) −0.338692 0.586632i −0.0154270 0.0267204i
\(483\) 10.5535 18.2792i 0.480200 0.831730i
\(484\) −18.1015 −0.822796
\(485\) −2.19693 + 3.80519i −0.0997575 + 0.172785i
\(486\) −3.21453 5.56773i −0.145814 0.252557i
\(487\) 1.96864 + 3.40978i 0.0892076 + 0.154512i 0.907176 0.420751i \(-0.138233\pi\)
−0.817969 + 0.575263i \(0.804900\pi\)
\(488\) −0.624144 1.08105i −0.0282537 0.0489368i
\(489\) 25.0629 1.13339
\(490\) −6.69168 11.5903i −0.302299 0.523597i
\(491\) −10.7060 18.5433i −0.483155 0.836849i 0.516658 0.856192i \(-0.327176\pi\)
−0.999813 + 0.0193427i \(0.993843\pi\)
\(492\) 3.13469 5.42944i 0.141323 0.244778i
\(493\) 0.0215754 0.0373696i 0.000971706 0.00168304i
\(494\) 4.27363 0.192280
\(495\) 37.6710 1.69319
\(496\) −11.3230 + 19.6120i −0.508416 + 0.880603i
\(497\) 18.5807 32.1828i 0.833459 1.44359i
\(498\) −0.426242 0.738273i −0.0191004 0.0330828i
\(499\) 13.2465 + 22.9436i 0.592994 + 1.02710i 0.993827 + 0.110944i \(0.0353874\pi\)
−0.400833 + 0.916151i \(0.631279\pi\)
\(500\) 74.0532 3.31176
\(501\) −6.76395 11.7155i −0.302191 0.523410i
\(502\) −0.727987 1.26091i −0.0324917 0.0562772i
\(503\) 12.8276 + 22.2180i 0.571953 + 0.990652i 0.996365 + 0.0851826i \(0.0271474\pi\)
−0.424412 + 0.905469i \(0.639519\pi\)
\(504\) 5.61438 9.72439i 0.250084 0.433159i
\(505\) 56.6466 2.52074
\(506\) 4.91701 8.51651i 0.218588 0.378605i
\(507\) −4.11558 7.12839i −0.182779 0.316583i
\(508\) 20.9305 0.928641
\(509\) 2.62571 + 4.54787i 0.116383 + 0.201581i 0.918332 0.395812i \(-0.129537\pi\)
−0.801949 + 0.597393i \(0.796203\pi\)
\(510\) −0.951072 + 1.64730i −0.0421142 + 0.0729439i
\(511\) −13.0574 + 22.6161i −0.577627 + 1.00048i
\(512\) −22.7154 −1.00389
\(513\) 11.7777 20.3995i 0.519997 0.900661i
\(514\) 10.2923 0.453972
\(515\) 41.4357 1.82587
\(516\) 0.286031 12.7074i 0.0125918 0.559413i
\(517\) 2.92746 0.128750
\(518\) 3.61052 0.158637
\(519\) −3.62306 + 6.27533i −0.159035 + 0.275456i
\(520\) −15.7396 −0.690228
\(521\) −2.80274 + 4.85449i −0.122790 + 0.212679i −0.920867 0.389877i \(-0.872518\pi\)
0.798077 + 0.602556i \(0.205851\pi\)
\(522\) −0.0166350 + 0.0288126i −0.000728092 + 0.00126109i
\(523\) 2.98317 + 5.16701i 0.130445 + 0.225938i 0.923848 0.382759i \(-0.125026\pi\)
−0.793403 + 0.608697i \(0.791693\pi\)
\(524\) −40.4922 −1.76891
\(525\) 28.5948 + 49.5276i 1.24798 + 2.16156i
\(526\) −3.32996 + 5.76767i −0.145193 + 0.251482i
\(527\) −7.49991 −0.326701
\(528\) 7.29999 12.6440i 0.317691 0.550258i
\(529\) −2.27305 3.93704i −0.0988283 0.171176i
\(530\) −8.75780 15.1689i −0.380414 0.658897i
\(531\) 12.6604 + 21.9284i 0.549413 + 0.951612i
\(532\) 31.7579 1.37688
\(533\) 3.69521 + 6.40030i 0.160057 + 0.277228i
\(534\) 1.53547 + 2.65951i 0.0664464 + 0.115088i
\(535\) −10.0398 + 17.3895i −0.434059 + 0.751813i
\(536\) 11.7705 20.3872i 0.508410 0.880592i
\(537\) 13.6975 0.591090
\(538\) −6.30740 −0.271931
\(539\) −17.0102 + 29.4625i −0.732682 + 1.26904i
\(540\) −20.7367 + 35.9170i −0.892366 + 1.54562i
\(541\) 19.4672 + 33.7181i 0.836958 + 1.44965i 0.892426 + 0.451194i \(0.149002\pi\)
−0.0554679 + 0.998460i \(0.517665\pi\)
\(542\) −2.52315 4.37022i −0.108378 0.187717i
\(543\) −14.6245 −0.627596
\(544\) −2.19025 3.79362i −0.0939062 0.162650i
\(545\) 5.59057 + 9.68315i 0.239474 + 0.414781i
\(546\) −1.88393 3.26306i −0.0806246 0.139646i
\(547\) 2.10100 3.63904i 0.0898324 0.155594i −0.817608 0.575776i \(-0.804700\pi\)
0.907440 + 0.420181i \(0.138034\pi\)
\(548\) −38.0750 −1.62648
\(549\) 0.746957 1.29377i 0.0318794 0.0552167i
\(550\) 13.3227 + 23.0756i 0.568081 + 0.983946i
\(551\) −0.196828 −0.00838516
\(552\) 4.36284 + 7.55667i 0.185695 + 0.321633i
\(553\) 6.10061 10.5666i 0.259425 0.449336i
\(554\) −1.23294 + 2.13552i −0.0523826 + 0.0907294i
\(555\) −10.7477 −0.456213
\(556\) −5.73286 + 9.92960i −0.243127 + 0.421109i
\(557\) 7.23868 0.306713 0.153356 0.988171i \(-0.450992\pi\)
0.153356 + 0.988171i \(0.450992\pi\)
\(558\) 5.78255 0.244795
\(559\) 12.8042 + 7.78183i 0.541559 + 0.329136i
\(560\) −50.3126 −2.12609
\(561\) 4.83524 0.204144
\(562\) −1.87359 + 3.24515i −0.0790325 + 0.136888i
\(563\) 26.8562 1.13185 0.565926 0.824456i \(-0.308519\pi\)
0.565926 + 0.824456i \(0.308519\pi\)
\(564\) −0.620890 + 1.07541i −0.0261442 + 0.0452830i
\(565\) −28.0274 + 48.5449i −1.17912 + 2.04230i
\(566\) −1.23792 2.14414i −0.0520336 0.0901248i
\(567\) 0.672247 0.0282317
\(568\) 7.68134 + 13.3045i 0.322302 + 0.558243i
\(569\) −19.9011 + 34.4696i −0.834296 + 1.44504i 0.0603068 + 0.998180i \(0.480792\pi\)
−0.894603 + 0.446863i \(0.852541\pi\)
\(570\) 8.67645 0.363417
\(571\) 14.5217 25.1523i 0.607713 1.05259i −0.383903 0.923373i \(-0.625420\pi\)
0.991616 0.129216i \(-0.0412462\pi\)
\(572\) 9.56363 + 16.5647i 0.399875 + 0.692605i
\(573\) 3.87059 + 6.70405i 0.161696 + 0.280066i
\(574\) −2.52023 4.36516i −0.105192 0.182198i
\(575\) 74.6365 3.11256
\(576\) −3.98904 6.90922i −0.166210 0.287884i
\(577\) 22.1764 + 38.4107i 0.923217 + 1.59906i 0.794404 + 0.607390i \(0.207784\pi\)
0.128814 + 0.991669i \(0.458883\pi\)
\(578\) 0.205017 0.355101i 0.00852760 0.0147702i
\(579\) 1.11469 1.93071i 0.0463251 0.0802374i
\(580\) 0.346552 0.0143898
\(581\) 7.46767 0.309811
\(582\) 0.217415 0.376575i 0.00901216 0.0156095i
\(583\) −22.2623 + 38.5594i −0.922009 + 1.59697i
\(584\) −5.39799 9.34959i −0.223370 0.386889i
\(585\) −9.41835 16.3131i −0.389401 0.674462i
\(586\) −8.79941 −0.363500
\(587\) 19.4620 + 33.7092i 0.803283 + 1.39133i 0.917444 + 0.397864i \(0.130248\pi\)
−0.114162 + 0.993462i \(0.536418\pi\)
\(588\) −7.21543 12.4975i −0.297559 0.515388i
\(589\) 17.1051 + 29.6268i 0.704802 + 1.22075i
\(590\) −12.1035 + 20.9638i −0.498291 + 0.863066i
\(591\) 5.63284 0.231704
\(592\) 3.49780 6.05838i 0.143759 0.248998i
\(593\) −4.66090 8.07291i −0.191400 0.331515i 0.754314 0.656513i \(-0.227969\pi\)
−0.945714 + 0.324999i \(0.894636\pi\)
\(594\) −9.67590 −0.397007
\(595\) −8.33129 14.4302i −0.341549 0.591581i
\(596\) −8.72566 + 15.1133i −0.357417 + 0.619064i
\(597\) −5.09365 + 8.82247i −0.208469 + 0.361079i
\(598\) −4.91732 −0.201084
\(599\) 2.14859 3.72148i 0.0877892 0.152055i −0.818787 0.574097i \(-0.805353\pi\)
0.906576 + 0.422042i \(0.138686\pi\)
\(600\) −23.6424 −0.965195
\(601\) −42.6157 −1.73833 −0.869165 0.494521i \(-0.835343\pi\)
−0.869165 + 0.494521i \(0.835343\pi\)
\(602\) −8.73277 5.30741i −0.355921 0.216314i
\(603\) 28.1733 1.14730
\(604\) 27.2765 1.10986
\(605\) 21.6608 37.5176i 0.880637 1.52531i
\(606\) −5.60594 −0.227726
\(607\) 12.5763 21.7828i 0.510456 0.884136i −0.489470 0.872020i \(-0.662810\pi\)
0.999927 0.0121163i \(-0.00385683\pi\)
\(608\) −9.99062 + 17.3043i −0.405173 + 0.701781i
\(609\) 0.0867668 + 0.150285i 0.00351597 + 0.00608984i
\(610\) 1.42820 0.0578261
\(611\) −0.731913 1.26771i −0.0296100 0.0512860i
\(612\) 1.72229 2.98310i 0.0696196 0.120585i
\(613\) 11.2977 0.456308 0.228154 0.973625i \(-0.426731\pi\)
0.228154 + 0.973625i \(0.426731\pi\)
\(614\) 3.67322 6.36220i 0.148239 0.256758i
\(615\) 7.50213 + 12.9941i 0.302515 + 0.523971i
\(616\) −13.6439 23.6320i −0.549729 0.952159i
\(617\) −4.32915 7.49832i −0.174285 0.301871i 0.765628 0.643283i \(-0.222428\pi\)
−0.939914 + 0.341412i \(0.889095\pi\)
\(618\) −4.10061 −0.164951
\(619\) 10.0917 + 17.4793i 0.405618 + 0.702551i 0.994393 0.105746i \(-0.0337229\pi\)
−0.588775 + 0.808297i \(0.700390\pi\)
\(620\) −30.1166 52.1634i −1.20951 2.09493i
\(621\) −13.5516 + 23.4721i −0.543807 + 0.941901i
\(622\) 0.982345 1.70147i 0.0393884 0.0682228i
\(623\) −26.9011 −1.07777
\(624\) −7.30046 −0.292252
\(625\) −53.0624 + 91.9068i −2.12250 + 3.67627i
\(626\) 2.06521 3.57705i 0.0825423 0.142968i
\(627\) −11.0278 19.1006i −0.440406 0.762806i
\(628\) 1.23905 + 2.14609i 0.0494433 + 0.0856383i
\(629\) 2.31681 0.0923774
\(630\) 6.42355 + 11.1259i 0.255920 + 0.443267i
\(631\) 13.2584 + 22.9642i 0.527809 + 0.914192i 0.999475 + 0.0324143i \(0.0103196\pi\)
−0.471666 + 0.881777i \(0.656347\pi\)
\(632\) 2.52202 + 4.36826i 0.100320 + 0.173760i
\(633\) 7.57433 13.1191i 0.301053 0.521438i
\(634\) 11.6232 0.461618
\(635\) −25.0460 + 43.3810i −0.993922 + 1.72152i
\(636\) −9.44327 16.3562i −0.374450 0.648566i
\(637\) 17.0113 0.674012
\(638\) 0.0404258 + 0.0700196i 0.00160047 + 0.00277210i
\(639\) −9.19280 + 15.9224i −0.363661 + 0.629880i
\(640\) 23.0183 39.8689i 0.909878 1.57596i
\(641\) −13.2513 −0.523394 −0.261697 0.965150i \(-0.584282\pi\)
−0.261697 + 0.965150i \(0.584282\pi\)
\(642\) 0.993573 1.72092i 0.0392132 0.0679193i
\(643\) −22.5412 −0.888940 −0.444470 0.895794i \(-0.646608\pi\)
−0.444470 + 0.895794i \(0.646608\pi\)
\(644\) −36.5412 −1.43992
\(645\) 25.9954 + 15.7989i 1.02357 + 0.622081i
\(646\) −1.87034 −0.0735874
\(647\) 6.24842 0.245651 0.122825 0.992428i \(-0.460804\pi\)
0.122825 + 0.992428i \(0.460804\pi\)
\(648\) −0.138955 + 0.240677i −0.00545866 + 0.00945467i
\(649\) 61.5338 2.41541
\(650\) 6.66177 11.5385i 0.261296 0.452578i
\(651\) 15.0807 26.1205i 0.591059 1.02374i
\(652\) −21.6950 37.5768i −0.849640 1.47162i
\(653\) −4.24670 −0.166186 −0.0830932 0.996542i \(-0.526480\pi\)
−0.0830932 + 0.996542i \(0.526480\pi\)
\(654\) −0.553261 0.958277i −0.0216342 0.0374716i
\(655\) 48.4541 83.9250i 1.89326 3.27922i
\(656\) −9.76621 −0.381307
\(657\) 6.46015 11.1893i 0.252035 0.436537i
\(658\) 0.499183 + 0.864610i 0.0194602 + 0.0337060i
\(659\) 18.6989 + 32.3875i 0.728406 + 1.26164i 0.957557 + 0.288245i \(0.0930718\pi\)
−0.229151 + 0.973391i \(0.573595\pi\)
\(660\) 19.4164 + 33.6301i 0.755781 + 1.30905i
\(661\) 24.7487 0.962614 0.481307 0.876552i \(-0.340162\pi\)
0.481307 + 0.876552i \(0.340162\pi\)
\(662\) 3.21191 + 5.56319i 0.124834 + 0.216220i
\(663\) −1.20889 2.09385i −0.0469493 0.0813185i
\(664\) −1.54358 + 2.67356i −0.0599026 + 0.103754i
\(665\) −38.0024 + 65.8221i −1.47367 + 2.55247i
\(666\) −1.78630 −0.0692177
\(667\) 0.226474 0.00876911
\(668\) −11.7100 + 20.2823i −0.453074 + 0.784747i
\(669\) −2.19981 + 3.81018i −0.0850496 + 0.147310i
\(670\) 13.4670 + 23.3255i 0.520275 + 0.901142i
\(671\) −1.81524 3.14408i −0.0700765 0.121376i
\(672\) 17.6165 0.679570
\(673\) 16.4621 + 28.5132i 0.634568 + 1.09910i 0.986607 + 0.163118i \(0.0521551\pi\)
−0.352039 + 0.935985i \(0.614512\pi\)
\(674\) 5.26312 + 9.11599i 0.202728 + 0.351135i
\(675\) −36.7182 63.5978i −1.41328 2.44788i
\(676\) −7.12505 + 12.3409i −0.274040 + 0.474652i
\(677\) 7.56662 0.290809 0.145404 0.989372i \(-0.453552\pi\)
0.145404 + 0.989372i \(0.453552\pi\)
\(678\) 2.77369 4.80416i 0.106523 0.184503i
\(679\) 1.90454 + 3.29875i 0.0730894 + 0.126594i
\(680\) 6.88837 0.264157
\(681\) −9.20602 15.9453i −0.352776 0.611025i
\(682\) 7.02630 12.1699i 0.269051 0.466010i
\(683\) 8.63518 14.9566i 0.330416 0.572297i −0.652177 0.758066i \(-0.726144\pi\)
0.982593 + 0.185769i \(0.0594776\pi\)
\(684\) −15.7122 −0.600770
\(685\) 45.5616 78.9151i 1.74082 3.01519i
\(686\) −0.693349 −0.0264722
\(687\) −5.49921 −0.209808
\(688\) −17.3659 + 9.51170i −0.662068 + 0.362630i
\(689\) 22.2637 0.848179
\(690\) −9.98328 −0.380057
\(691\) −18.0443 + 31.2536i −0.686437 + 1.18894i 0.286546 + 0.958066i \(0.407493\pi\)
−0.972983 + 0.230877i \(0.925841\pi\)
\(692\) 12.5448 0.476881
\(693\) 16.3286 28.2820i 0.620274 1.07435i
\(694\) 5.26298 9.11576i 0.199780 0.346029i
\(695\) −13.7202 23.7641i −0.520437 0.901424i
\(696\) −0.0717394 −0.00271928
\(697\) −1.61719 2.80106i −0.0612555 0.106098i
\(698\) −2.16092 + 3.74282i −0.0817919 + 0.141668i
\(699\) −10.7804 −0.407753
\(700\) 49.5044 85.7441i 1.87109 3.24082i
\(701\) −24.9720 43.2528i −0.943181 1.63364i −0.759354 0.650678i \(-0.774485\pi\)
−0.183827 0.982959i \(-0.558849\pi\)
\(702\) 2.41913 + 4.19005i 0.0913041 + 0.158143i
\(703\) −5.28397 9.15210i −0.199289 0.345178i
\(704\) −19.3881 −0.730718
\(705\) −1.48595 2.57374i −0.0559641 0.0969327i
\(706\) 5.11495 + 8.85936i 0.192504 + 0.333426i
\(707\) 24.5537 42.5282i 0.923437 1.59944i
\(708\) −13.0508 + 22.6046i −0.490479 + 0.849534i
\(709\) 2.06822 0.0776738 0.0388369 0.999246i \(-0.487635\pi\)
0.0388369 + 0.999246i \(0.487635\pi\)
\(710\) −17.5768 −0.659647
\(711\) −3.01827 + 5.22780i −0.113194 + 0.196058i
\(712\) 5.56051 9.63109i 0.208389 0.360940i
\(713\) −19.6814 34.0892i −0.737074 1.27665i
\(714\) 0.824492 + 1.42806i 0.0308558 + 0.0534438i
\(715\) −45.7765 −1.71194
\(716\) −11.8568 20.5366i −0.443109 0.767488i
\(717\) −5.01780 8.69109i −0.187393 0.324575i
\(718\) −0.758172 1.31319i −0.0282947 0.0490079i
\(719\) −23.8599 + 41.3265i −0.889823 + 1.54122i −0.0497393 + 0.998762i \(0.515839\pi\)
−0.840084 + 0.542457i \(0.817494\pi\)
\(720\) 24.8921 0.927674
\(721\) 17.9604 31.1084i 0.668882 1.15854i
\(722\) 0.370352 + 0.641469i 0.0137831 + 0.0238730i
\(723\) 1.74804 0.0650104
\(724\) 12.6592 + 21.9264i 0.470477 + 0.814889i
\(725\) −0.306817 + 0.531422i −0.0113949 + 0.0197365i
\(726\) −2.14362 + 3.71287i −0.0795573 + 0.137797i
\(727\) −26.7696 −0.992831 −0.496415 0.868085i \(-0.665351\pi\)
−0.496415 + 0.868085i \(0.665351\pi\)
\(728\) −6.82239 + 11.8167i −0.252855 + 0.437957i
\(729\) 16.0601 0.594818
\(730\) 12.3520 0.457166
\(731\) −5.60369 3.40568i −0.207260 0.125964i
\(732\) 1.53998 0.0569195
\(733\) −28.8164 −1.06436 −0.532178 0.846632i \(-0.678626\pi\)
−0.532178 + 0.846632i \(0.678626\pi\)
\(734\) −5.32692 + 9.22650i −0.196620 + 0.340556i
\(735\) 34.5368 1.27391
\(736\) 11.4954 19.9106i 0.423726 0.733915i
\(737\) 34.2330 59.2933i 1.26099 2.18410i
\(738\) 1.24688 + 2.15966i 0.0458983 + 0.0794982i
\(739\) −6.29718 −0.231646 −0.115823 0.993270i \(-0.536950\pi\)
−0.115823 + 0.993270i \(0.536950\pi\)
\(740\) 9.30338 + 16.1139i 0.341999 + 0.592360i
\(741\) −5.51423 + 9.55092i −0.202570 + 0.350862i
\(742\) −15.1844 −0.557437
\(743\) 0.619720 1.07339i 0.0227353 0.0393788i −0.854434 0.519560i \(-0.826096\pi\)
0.877169 + 0.480181i \(0.159429\pi\)
\(744\) 6.23441 + 10.7983i 0.228565 + 0.395886i
\(745\) −20.8828 36.1700i −0.765085 1.32517i
\(746\) 4.47752 + 7.75530i 0.163934 + 0.283942i
\(747\) −3.69462 −0.135179
\(748\) −4.18548 7.24946i −0.153036 0.265067i
\(749\) 8.70360 + 15.0751i 0.318022 + 0.550831i
\(750\) 8.76955 15.1893i 0.320219 0.554635i
\(751\) −7.97268 + 13.8091i −0.290927 + 0.503901i −0.974029 0.226422i \(-0.927297\pi\)
0.683102 + 0.730323i \(0.260630\pi\)
\(752\) 1.93440 0.0705403
\(753\) 3.75726 0.136922
\(754\) 0.0202142 0.0350120i 0.000736158 0.00127506i
\(755\) −32.6398 + 56.5338i −1.18788 + 2.05748i
\(756\) 17.9768 + 31.1368i 0.653811 + 1.13243i
\(757\) 8.35709 + 14.4749i 0.303743 + 0.526099i 0.976981 0.213327i \(-0.0684301\pi\)
−0.673237 + 0.739426i \(0.735097\pi\)
\(758\) −0.367310 −0.0133413
\(759\) 12.6887 + 21.9775i 0.460572 + 0.797734i
\(760\) −15.7103 27.2111i −0.569873 0.987050i
\(761\) 10.8372 + 18.7705i 0.392847 + 0.680431i 0.992824 0.119587i \(-0.0381569\pi\)
−0.599977 + 0.800017i \(0.704824\pi\)
\(762\) 2.47864 4.29313i 0.0897916 0.155524i
\(763\) 9.69302 0.350911
\(764\) 6.70091 11.6063i 0.242430 0.419902i
\(765\) 4.12190 + 7.13933i 0.149027 + 0.258123i
\(766\) −6.57656 −0.237621
\(767\) −15.3844 26.6466i −0.555500 0.962154i
\(768\) </