Properties

Label 731.2.j.a.135.12
Level 731
Weight 2
Character 731.135
Analytic conductor 5.837
Analytic rank 0
Dimension 128
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.j (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(64\) over \(\Q(\zeta_{6})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 135.12
Character \(\chi\) = 731.135
Dual form 731.2.j.a.509.12

$q$-expansion

\(f(q)\) \(=\) \(q-2.05109 q^{2} +(2.62751 + 1.51699i) q^{3} +2.20698 q^{4} +(-2.73044 - 1.57642i) q^{5} +(-5.38926 - 3.11149i) q^{6} +(-0.592018 + 0.341802i) q^{7} -0.424527 q^{8} +(3.10253 + 5.37374i) q^{9} +O(q^{10})\) \(q-2.05109 q^{2} +(2.62751 + 1.51699i) q^{3} +2.20698 q^{4} +(-2.73044 - 1.57642i) q^{5} +(-5.38926 - 3.11149i) q^{6} +(-0.592018 + 0.341802i) q^{7} -0.424527 q^{8} +(3.10253 + 5.37374i) q^{9} +(5.60038 + 3.23338i) q^{10} -5.64679i q^{11} +(5.79885 + 3.34797i) q^{12} +(2.15005 + 3.72399i) q^{13} +(1.21428 - 0.701067i) q^{14} +(-4.78283 - 8.28411i) q^{15} -3.54321 q^{16} +(0.148611 + 4.12043i) q^{17} +(-6.36357 - 11.0220i) q^{18} +(0.516837 - 0.895188i) q^{19} +(-6.02601 - 3.47912i) q^{20} -2.07404 q^{21} +11.5821i q^{22} +(5.57224 + 3.21713i) q^{23} +(-1.11545 - 0.644003i) q^{24} +(2.47020 + 4.27851i) q^{25} +(-4.40994 - 7.63825i) q^{26} +9.72411i q^{27} +(-1.30657 + 0.754348i) q^{28} +(5.65872 - 3.26706i) q^{29} +(9.81003 + 16.9915i) q^{30} +(1.62115 + 0.935974i) q^{31} +8.11650 q^{32} +(8.56614 - 14.8370i) q^{33} +(-0.304814 - 8.45137i) q^{34} +2.15529 q^{35} +(6.84721 + 11.8597i) q^{36} +(9.34986 + 5.39814i) q^{37} +(-1.06008 + 1.83611i) q^{38} +13.0464i q^{39} +(1.15914 + 0.669232i) q^{40} -2.21300i q^{41} +4.25405 q^{42} +(-3.47316 + 5.56212i) q^{43} -12.4623i q^{44} -19.5636i q^{45} +(-11.4292 - 6.59864i) q^{46} +5.35132 q^{47} +(-9.30981 - 5.37502i) q^{48} +(-3.26634 + 5.65747i) q^{49} +(-5.06661 - 8.77562i) q^{50} +(-5.86018 + 11.0519i) q^{51} +(4.74510 + 8.21876i) q^{52} +(0.600594 - 1.04026i) q^{53} -19.9450i q^{54} +(-8.90171 + 15.4182i) q^{55} +(0.251327 - 0.145104i) q^{56} +(2.71599 - 1.56808i) q^{57} +(-11.6066 + 6.70105i) q^{58} -8.40734 q^{59} +(-10.5556 - 18.2828i) q^{60} +(9.40100 - 5.42767i) q^{61} +(-3.32514 - 1.91977i) q^{62} +(-3.67351 - 2.12090i) q^{63} -9.56126 q^{64} -13.5575i q^{65} +(-17.5699 + 30.4320i) q^{66} +(1.27484 - 2.20809i) q^{67} +(0.327981 + 9.09368i) q^{68} +(9.76073 + 16.9061i) q^{69} -4.42070 q^{70} +(-6.92813 + 3.99996i) q^{71} +(-1.31711 - 2.28130i) q^{72} +(-6.67168 + 3.85190i) q^{73} +(-19.1774 - 11.0721i) q^{74} +14.9891i q^{75} +(1.14065 - 1.97566i) q^{76} +(1.93008 + 3.34300i) q^{77} -26.7594i q^{78} +(10.9204 - 6.30489i) q^{79} +(9.67452 + 5.58559i) q^{80} +(-5.44380 + 9.42894i) q^{81} +4.53907i q^{82} +(-0.172186 + 0.298235i) q^{83} -4.57736 q^{84} +(6.08975 - 11.4848i) q^{85} +(7.12377 - 11.4084i) q^{86} +19.8244 q^{87} +2.39721i q^{88} +(3.74679 - 6.48963i) q^{89} +40.1267i q^{90} +(-2.54573 - 1.46978i) q^{91} +(12.2978 + 7.10014i) q^{92} +(2.83973 + 4.91856i) q^{93} -10.9761 q^{94} +(-2.82238 + 1.62950i) q^{95} +(21.3262 + 12.3127i) q^{96} +9.03426i q^{97} +(6.69957 - 11.6040i) q^{98} +(30.3444 - 17.5193i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q - 4q^{2} + 116q^{4} - 12q^{8} + 70q^{9} + O(q^{10}) \) \( 128q - 4q^{2} + 116q^{4} - 12q^{8} + 70q^{9} + 4q^{13} - 12q^{15} + 76q^{16} + 2q^{17} - 16q^{18} - 2q^{19} - 20q^{21} + 60q^{25} - 2q^{26} - 28q^{30} - 48q^{32} + 22q^{33} - 18q^{34} - 112q^{35} + 36q^{36} - 40q^{38} + 36q^{42} + 10q^{43} + 36q^{47} + 52q^{49} + 16q^{50} + 10q^{51} + 10q^{52} + 24q^{55} - 12q^{59} - 78q^{60} + 36q^{64} + 14q^{66} + 10q^{67} - q^{68} - 64q^{70} - 68q^{72} - 22q^{76} - 28q^{77} - 20q^{81} - 6q^{83} + 32q^{84} + 6q^{85} - 58q^{86} + 32q^{87} + 36q^{89} + 6q^{93} + 132q^{94} - 48q^{98} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.05109 −1.45034 −0.725170 0.688570i \(-0.758239\pi\)
−0.725170 + 0.688570i \(0.758239\pi\)
\(3\) 2.62751 + 1.51699i 1.51699 + 0.875836i 0.999801 + 0.0199662i \(0.00635586\pi\)
0.517192 + 0.855870i \(0.326977\pi\)
\(4\) 2.20698 1.10349
\(5\) −2.73044 1.57642i −1.22109 0.704996i −0.255939 0.966693i \(-0.582385\pi\)
−0.965150 + 0.261696i \(0.915718\pi\)
\(6\) −5.38926 3.11149i −2.20016 1.27026i
\(7\) −0.592018 + 0.341802i −0.223762 + 0.129189i −0.607691 0.794174i \(-0.707904\pi\)
0.383929 + 0.923363i \(0.374571\pi\)
\(8\) −0.424527 −0.150093
\(9\) 3.10253 + 5.37374i 1.03418 + 1.79125i
\(10\) 5.60038 + 3.23338i 1.77100 + 1.02249i
\(11\) 5.64679i 1.70257i −0.524703 0.851286i \(-0.675824\pi\)
0.524703 0.851286i \(-0.324176\pi\)
\(12\) 5.79885 + 3.34797i 1.67398 + 0.966474i
\(13\) 2.15005 + 3.72399i 0.596316 + 1.03285i 0.993360 + 0.115050i \(0.0367028\pi\)
−0.397044 + 0.917800i \(0.629964\pi\)
\(14\) 1.21428 0.701067i 0.324531 0.187368i
\(15\) −4.78283 8.28411i −1.23492 2.13895i
\(16\) −3.54321 −0.885802
\(17\) 0.148611 + 4.12043i 0.0360434 + 0.999350i
\(18\) −6.36357 11.0220i −1.49991 2.59792i
\(19\) 0.516837 0.895188i 0.118571 0.205370i −0.800631 0.599158i \(-0.795502\pi\)
0.919201 + 0.393788i \(0.128835\pi\)
\(20\) −6.02601 3.47912i −1.34746 0.777955i
\(21\) −2.07404 −0.452593
\(22\) 11.5821i 2.46931i
\(23\) 5.57224 + 3.21713i 1.16189 + 0.670819i 0.951757 0.306853i \(-0.0992761\pi\)
0.210136 + 0.977672i \(0.432609\pi\)
\(24\) −1.11545 0.644003i −0.227690 0.131457i
\(25\) 2.47020 + 4.27851i 0.494040 + 0.855703i
\(26\) −4.40994 7.63825i −0.864861 1.49798i
\(27\) 9.72411i 1.87141i
\(28\) −1.30657 + 0.754348i −0.246918 + 0.142558i
\(29\) 5.65872 3.26706i 1.05080 0.606678i 0.127925 0.991784i \(-0.459168\pi\)
0.922873 + 0.385105i \(0.125835\pi\)
\(30\) 9.81003 + 16.9915i 1.79106 + 3.10220i
\(31\) 1.62115 + 0.935974i 0.291168 + 0.168106i 0.638468 0.769648i \(-0.279568\pi\)
−0.347301 + 0.937754i \(0.612902\pi\)
\(32\) 8.11650 1.43481
\(33\) 8.56614 14.8370i 1.49117 2.58279i
\(34\) −0.304814 8.45137i −0.0522752 1.44940i
\(35\) 2.15529 0.364311
\(36\) 6.84721 + 11.8597i 1.14120 + 1.97662i
\(37\) 9.34986 + 5.39814i 1.53711 + 0.887449i 0.999006 + 0.0445691i \(0.0141915\pi\)
0.538101 + 0.842880i \(0.319142\pi\)
\(38\) −1.06008 + 1.83611i −0.171968 + 0.297857i
\(39\) 13.0464i 2.08910i
\(40\) 1.15914 + 0.669232i 0.183277 + 0.105815i
\(41\) 2.21300i 0.345613i −0.984956 0.172806i \(-0.944716\pi\)
0.984956 0.172806i \(-0.0552835\pi\)
\(42\) 4.25405 0.656414
\(43\) −3.47316 + 5.56212i −0.529652 + 0.848215i
\(44\) 12.4623i 1.87877i
\(45\) 19.5636i 2.91636i
\(46\) −11.4292 6.59864i −1.68514 0.972916i
\(47\) 5.35132 0.780571 0.390285 0.920694i \(-0.372376\pi\)
0.390285 + 0.920694i \(0.372376\pi\)
\(48\) −9.30981 5.37502i −1.34376 0.775817i
\(49\) −3.26634 + 5.65747i −0.466620 + 0.808210i
\(50\) −5.06661 8.77562i −0.716526 1.24106i
\(51\) −5.86018 + 11.0519i −0.820589 + 1.54757i
\(52\) 4.74510 + 8.21876i 0.658028 + 1.13974i
\(53\) 0.600594 1.04026i 0.0824979 0.142891i −0.821824 0.569741i \(-0.807044\pi\)
0.904322 + 0.426850i \(0.140377\pi\)
\(54\) 19.9450i 2.71418i
\(55\) −8.90171 + 15.4182i −1.20031 + 2.07899i
\(56\) 0.251327 0.145104i 0.0335850 0.0193903i
\(57\) 2.71599 1.56808i 0.359741 0.207697i
\(58\) −11.6066 + 6.70105i −1.52401 + 0.879890i
\(59\) −8.40734 −1.09454 −0.547271 0.836955i \(-0.684333\pi\)
−0.547271 + 0.836955i \(0.684333\pi\)
\(60\) −10.5556 18.2828i −1.36272 2.36030i
\(61\) 9.40100 5.42767i 1.20367 0.694942i 0.242304 0.970200i \(-0.422097\pi\)
0.961370 + 0.275259i \(0.0887635\pi\)
\(62\) −3.32514 1.91977i −0.422293 0.243811i
\(63\) −3.67351 2.12090i −0.462819 0.267208i
\(64\) −9.56126 −1.19516
\(65\) 13.5575i 1.68160i
\(66\) −17.5699 + 30.4320i −2.16271 + 3.74592i
\(67\) 1.27484 2.20809i 0.155747 0.269761i −0.777584 0.628779i \(-0.783555\pi\)
0.933331 + 0.359018i \(0.116888\pi\)
\(68\) 0.327981 + 9.09368i 0.0397735 + 1.10277i
\(69\) 9.76073 + 16.9061i 1.17505 + 2.03525i
\(70\) −4.42070 −0.528375
\(71\) −6.92813 + 3.99996i −0.822218 + 0.474708i −0.851181 0.524873i \(-0.824113\pi\)
0.0289626 + 0.999580i \(0.490780\pi\)
\(72\) −1.31711 2.28130i −0.155223 0.268853i
\(73\) −6.67168 + 3.85190i −0.780861 + 0.450830i −0.836735 0.547607i \(-0.815539\pi\)
0.0558742 + 0.998438i \(0.482205\pi\)
\(74\) −19.1774 11.0721i −2.22933 1.28710i
\(75\) 14.9891i 1.73079i
\(76\) 1.14065 1.97566i 0.130841 0.226623i
\(77\) 1.93008 + 3.34300i 0.219953 + 0.380970i
\(78\) 26.7594i 3.02991i
\(79\) 10.9204 6.30489i 1.22864 0.709355i 0.261894 0.965097i \(-0.415653\pi\)
0.966745 + 0.255742i \(0.0823196\pi\)
\(80\) 9.67452 + 5.58559i 1.08164 + 0.624487i
\(81\) −5.44380 + 9.42894i −0.604867 + 1.04766i
\(82\) 4.53907i 0.501256i
\(83\) −0.172186 + 0.298235i −0.0188999 + 0.0327356i −0.875321 0.483543i \(-0.839350\pi\)
0.856421 + 0.516278i \(0.172683\pi\)
\(84\) −4.57736 −0.499431
\(85\) 6.08975 11.4848i 0.660526 1.24571i
\(86\) 7.12377 11.4084i 0.768176 1.23020i
\(87\) 19.8244 2.12540
\(88\) 2.39721i 0.255544i
\(89\) 3.74679 6.48963i 0.397159 0.687899i −0.596215 0.802824i \(-0.703330\pi\)
0.993374 + 0.114926i \(0.0366629\pi\)
\(90\) 40.1267i 4.22972i
\(91\) −2.54573 1.46978i −0.266865 0.154075i
\(92\) 12.2978 + 7.10014i 1.28213 + 0.740241i
\(93\) 2.83973 + 4.91856i 0.294466 + 0.510031i
\(94\) −10.9761 −1.13209
\(95\) −2.82238 + 1.62950i −0.289570 + 0.167184i
\(96\) 21.3262 + 12.3127i 2.17659 + 1.25666i
\(97\) 9.03426i 0.917290i 0.888620 + 0.458645i \(0.151665\pi\)
−0.888620 + 0.458645i \(0.848335\pi\)
\(98\) 6.69957 11.6040i 0.676759 1.17218i
\(99\) 30.3444 17.5193i 3.04973 1.76076i
\(100\) 5.45167 + 9.44257i 0.545167 + 0.944257i
\(101\) 3.36533 + 5.82892i 0.334863 + 0.579999i 0.983458 0.181134i \(-0.0579767\pi\)
−0.648596 + 0.761133i \(0.724643\pi\)
\(102\) 12.0198 22.6684i 1.19013 2.24451i
\(103\) −1.13465 1.96528i −0.111801 0.193645i 0.804696 0.593688i \(-0.202329\pi\)
−0.916496 + 0.400043i \(0.868995\pi\)
\(104\) −0.912752 1.58093i −0.0895027 0.155023i
\(105\) 5.66305 + 3.26956i 0.552657 + 0.319077i
\(106\) −1.23187 + 2.13367i −0.119650 + 0.207240i
\(107\) 18.3420i 1.77319i 0.462547 + 0.886595i \(0.346936\pi\)
−0.462547 + 0.886595i \(0.653064\pi\)
\(108\) 21.4609i 2.06507i
\(109\) −1.63586 0.944467i −0.156687 0.0904635i 0.419606 0.907706i \(-0.362168\pi\)
−0.576294 + 0.817243i \(0.695502\pi\)
\(110\) 18.2582 31.6242i 1.74085 3.01525i
\(111\) 16.3779 + 28.3673i 1.55452 + 2.69251i
\(112\) 2.09764 1.21108i 0.198209 0.114436i
\(113\) 3.09468i 0.291123i −0.989349 0.145562i \(-0.953501\pi\)
0.989349 0.145562i \(-0.0464989\pi\)
\(114\) −5.57074 + 3.21627i −0.521747 + 0.301231i
\(115\) −10.1431 17.5684i −0.945850 1.63826i
\(116\) 12.4887 7.21033i 1.15954 0.669462i
\(117\) −13.3412 + 23.1076i −1.23339 + 2.13630i
\(118\) 17.2442 1.58746
\(119\) −1.49635 2.38857i −0.137170 0.218960i
\(120\) 2.03044 + 3.51683i 0.185353 + 0.321041i
\(121\) −20.8862 −1.89875
\(122\) −19.2823 + 11.1326i −1.74574 + 1.00790i
\(123\) 3.35711 5.81468i 0.302700 0.524292i
\(124\) 3.57785 + 2.06567i 0.321300 + 0.185503i
\(125\) 0.187906i 0.0168068i
\(126\) 7.53470 + 4.35016i 0.671244 + 0.387543i
\(127\) −15.8405 −1.40562 −0.702810 0.711378i \(-0.748072\pi\)
−0.702810 + 0.711378i \(0.748072\pi\)
\(128\) 3.37803 0.298578
\(129\) −17.5634 + 9.34575i −1.54638 + 0.822848i
\(130\) 27.8077i 2.43890i
\(131\) 9.64943i 0.843075i −0.906811 0.421537i \(-0.861491\pi\)
0.906811 0.421537i \(-0.138509\pi\)
\(132\) 18.9053 32.7449i 1.64549 2.85007i
\(133\) 0.706623i 0.0612720i
\(134\) −2.61481 + 4.52899i −0.225886 + 0.391245i
\(135\) 15.3293 26.5511i 1.31933 2.28515i
\(136\) −0.0630892 1.74923i −0.00540986 0.149995i
\(137\) 6.52067 0.557099 0.278549 0.960422i \(-0.410146\pi\)
0.278549 + 0.960422i \(0.410146\pi\)
\(138\) −20.0202 34.6759i −1.70423 2.95181i
\(139\) −5.47749 3.16243i −0.464594 0.268234i 0.249380 0.968406i \(-0.419773\pi\)
−0.713974 + 0.700172i \(0.753107\pi\)
\(140\) 4.75668 0.402013
\(141\) 14.0606 + 8.11791i 1.18412 + 0.683652i
\(142\) 14.2102 8.20428i 1.19250 0.688488i
\(143\) 21.0286 12.1409i 1.75850 1.01527i
\(144\) −10.9929 19.0403i −0.916076 1.58669i
\(145\) −20.6011 −1.71082
\(146\) 13.6842 7.90059i 1.13251 0.653858i
\(147\) −17.1647 + 9.91003i −1.41572 + 0.817366i
\(148\) 20.6349 + 11.9136i 1.69618 + 0.979290i
\(149\) 7.31218 12.6651i 0.599037 1.03756i −0.393926 0.919142i \(-0.628883\pi\)
0.992963 0.118421i \(-0.0377832\pi\)
\(150\) 30.7440i 2.51024i
\(151\) 8.08879 0.658256 0.329128 0.944285i \(-0.393245\pi\)
0.329128 + 0.944285i \(0.393245\pi\)
\(152\) −0.219411 + 0.380031i −0.0177966 + 0.0308246i
\(153\) −21.6810 + 13.5823i −1.75281 + 1.09807i
\(154\) −3.95878 6.85680i −0.319007 0.552537i
\(155\) −2.95098 5.11124i −0.237028 0.410545i
\(156\) 28.7931i 2.30530i
\(157\) 1.27006 + 2.19980i 0.101362 + 0.175564i 0.912246 0.409643i \(-0.134347\pi\)
−0.810884 + 0.585207i \(0.801013\pi\)
\(158\) −22.3987 + 12.9319i −1.78195 + 1.02881i
\(159\) 3.15613 1.82219i 0.250297 0.144509i
\(160\) −22.1616 12.7950i −1.75203 1.01153i
\(161\) −4.39849 −0.346649
\(162\) 11.1657 19.3396i 0.877263 1.51946i
\(163\) 13.4548 7.76816i 1.05387 0.608449i 0.130136 0.991496i \(-0.458459\pi\)
0.923729 + 0.383047i \(0.125125\pi\)
\(164\) 4.88404i 0.381380i
\(165\) −46.7786 + 27.0077i −3.64171 + 2.10254i
\(166\) 0.353170 0.611708i 0.0274113 0.0474777i
\(167\) −19.6637 11.3528i −1.52162 0.878508i −0.999674 0.0255293i \(-0.991873\pi\)
−0.521946 0.852978i \(-0.674794\pi\)
\(168\) 0.880486 0.0679310
\(169\) −2.74541 + 4.75519i −0.211186 + 0.365784i
\(170\) −12.4906 + 23.5565i −0.957988 + 1.80670i
\(171\) 6.41401 0.490492
\(172\) −7.66518 + 12.2755i −0.584465 + 0.935995i
\(173\) 18.2726i 1.38924i −0.719378 0.694619i \(-0.755573\pi\)
0.719378 0.694619i \(-0.244427\pi\)
\(174\) −40.6617 −3.08256
\(175\) −2.92481 1.68864i −0.221095 0.127649i
\(176\) 20.0078i 1.50814i
\(177\) −22.0904 12.7539i −1.66041 0.958640i
\(178\) −7.68500 + 13.3108i −0.576015 + 0.997688i
\(179\) 4.61487 + 7.99320i 0.344932 + 0.597439i 0.985341 0.170594i \(-0.0545687\pi\)
−0.640410 + 0.768034i \(0.721235\pi\)
\(180\) 43.1763i 3.21817i
\(181\) 7.90234 4.56242i 0.587376 0.339122i −0.176683 0.984268i \(-0.556537\pi\)
0.764059 + 0.645146i \(0.223203\pi\)
\(182\) 5.22153 + 3.01465i 0.387046 + 0.223461i
\(183\) 32.9349 2.43462
\(184\) −2.36556 1.36576i −0.174392 0.100685i
\(185\) −17.0195 29.4786i −1.25130 2.16731i
\(186\) −5.82455 10.0884i −0.427076 0.739718i
\(187\) 23.2672 0.839174i 1.70146 0.0613665i
\(188\) 11.8102 0.861350
\(189\) −3.32372 5.75685i −0.241765 0.418749i
\(190\) 5.78897 3.34226i 0.419976 0.242473i
\(191\) 6.14249 10.6391i 0.444455 0.769818i −0.553559 0.832810i \(-0.686731\pi\)
0.998014 + 0.0629917i \(0.0200641\pi\)
\(192\) −25.1223 14.5044i −1.81305 1.04676i
\(193\) 4.78107i 0.344149i −0.985084 0.172075i \(-0.944953\pi\)
0.985084 0.172075i \(-0.0550470\pi\)
\(194\) 18.5301i 1.33038i
\(195\) 20.5666 35.6225i 1.47281 2.55098i
\(196\) −7.20874 + 12.4859i −0.514910 + 0.891850i
\(197\) −12.2357 + 7.06430i −0.871759 + 0.503310i −0.867932 0.496682i \(-0.834551\pi\)
−0.00382668 + 0.999993i \(0.501218\pi\)
\(198\) −62.2391 + 35.9338i −4.42314 + 2.55370i
\(199\) 11.4273i 0.810061i −0.914303 0.405030i \(-0.867261\pi\)
0.914303 0.405030i \(-0.132739\pi\)
\(200\) −1.04867 1.81634i −0.0741519 0.128435i
\(201\) 6.69931 3.86785i 0.472533 0.272817i
\(202\) −6.90260 11.9556i −0.485665 0.841196i
\(203\) −2.23338 + 3.86832i −0.156752 + 0.271503i
\(204\) −12.9333 + 24.3913i −0.905510 + 1.70773i
\(205\) −3.48862 + 6.04247i −0.243656 + 0.422024i
\(206\) 2.32728 + 4.03097i 0.162149 + 0.280851i
\(207\) 39.9250i 2.77498i
\(208\) −7.61807 13.1949i −0.528218 0.914901i
\(209\) −5.05494 2.91847i −0.349657 0.201875i
\(210\) −11.6154 6.70617i −0.801541 0.462770i
\(211\) 4.40660i 0.303363i 0.988429 + 0.151681i \(0.0484688\pi\)
−0.988429 + 0.151681i \(0.951531\pi\)
\(212\) 1.32550 2.29583i 0.0910355 0.157678i
\(213\) −24.2716 −1.66306
\(214\) 37.6211i 2.57173i
\(215\) 18.2515 9.71187i 1.24474 0.662344i
\(216\) 4.12814i 0.280884i
\(217\) −1.27967 −0.0868697
\(218\) 3.35531 + 1.93719i 0.227250 + 0.131203i
\(219\) −23.3732 −1.57941
\(220\) −19.6459 + 34.0276i −1.32452 + 2.29414i
\(221\) −15.0249 + 9.41254i −1.01069 + 0.633156i
\(222\) −33.5925 58.1840i −2.25458 3.90505i
\(223\) 13.2525 0.887451 0.443725 0.896163i \(-0.353657\pi\)
0.443725 + 0.896163i \(0.353657\pi\)
\(224\) −4.80511 + 2.77423i −0.321055 + 0.185361i
\(225\) −15.3277 + 26.5484i −1.02185 + 1.76990i
\(226\) 6.34748i 0.422228i
\(227\) −18.9287 10.9285i −1.25634 0.725350i −0.283982 0.958830i \(-0.591655\pi\)
−0.972362 + 0.233480i \(0.924989\pi\)
\(228\) 5.99412 3.46070i 0.396970 0.229191i
\(229\) 10.9778 + 19.0142i 0.725435 + 1.25649i 0.958795 + 0.284100i \(0.0916948\pi\)
−0.233359 + 0.972391i \(0.574972\pi\)
\(230\) 20.8044 + 36.0344i 1.37180 + 2.37604i
\(231\) 11.7117i 0.770572i
\(232\) −2.40228 + 1.38696i −0.157717 + 0.0910581i
\(233\) 8.51839 4.91810i 0.558058 0.322195i −0.194307 0.980941i \(-0.562246\pi\)
0.752366 + 0.658745i \(0.228913\pi\)
\(234\) 27.3640 47.3958i 1.78884 3.09836i
\(235\) −14.6115 8.43593i −0.953147 0.550299i
\(236\) −18.5548 −1.20781
\(237\) 38.2578 2.48511
\(238\) 3.06915 + 4.89918i 0.198943 + 0.317567i
\(239\) −13.4913 + 23.3676i −0.872678 + 1.51152i −0.0134617 + 0.999909i \(0.504285\pi\)
−0.859216 + 0.511613i \(0.829048\pi\)
\(240\) 16.9466 + 29.3523i 1.09390 + 1.89469i
\(241\) −21.5038 + 12.4152i −1.38518 + 0.799734i −0.992767 0.120056i \(-0.961693\pi\)
−0.392412 + 0.919789i \(0.628359\pi\)
\(242\) 42.8396 2.75383
\(243\) −3.34329 + 1.93025i −0.214472 + 0.123826i
\(244\) 20.7478 11.9787i 1.32824 0.766860i
\(245\) 17.8371 10.2983i 1.13957 0.657932i
\(246\) −6.88573 + 11.9264i −0.439018 + 0.760402i
\(247\) 4.44490 0.282822
\(248\) −0.688223 0.397346i −0.0437022 0.0252315i
\(249\) −0.904841 + 0.522410i −0.0573420 + 0.0331064i
\(250\) 0.385412i 0.0243756i
\(251\) −13.8052 23.9113i −0.871375 1.50926i −0.860575 0.509323i \(-0.829896\pi\)
−0.0107993 0.999942i \(-0.503438\pi\)
\(252\) −8.10734 4.68078i −0.510715 0.294861i
\(253\) 18.1665 31.4653i 1.14212 1.97820i
\(254\) 32.4904 2.03863
\(255\) 33.4233 20.9384i 2.09305 1.31122i
\(256\) 12.1939 0.762118
\(257\) −8.67045 −0.540848 −0.270424 0.962741i \(-0.587164\pi\)
−0.270424 + 0.962741i \(0.587164\pi\)
\(258\) 36.0242 19.1690i 2.24277 1.19341i
\(259\) −7.38038 −0.458595
\(260\) 29.9211i 1.85563i
\(261\) 35.1127 + 20.2723i 2.17342 + 1.25483i
\(262\) 19.7919i 1.22275i
\(263\) −10.7482 + 18.6164i −0.662762 + 1.14794i 0.317125 + 0.948384i \(0.397282\pi\)
−0.979887 + 0.199553i \(0.936051\pi\)
\(264\) −3.63655 + 6.29869i −0.223814 + 0.387658i
\(265\) −3.27977 + 1.89358i −0.201475 + 0.116322i
\(266\) 1.44935i 0.0888653i
\(267\) 19.6894 11.3677i 1.20497 0.695692i
\(268\) 2.81354 4.87320i 0.171864 0.297678i
\(269\) 16.9628i 1.03424i −0.855912 0.517121i \(-0.827004\pi\)
0.855912 0.517121i \(-0.172996\pi\)
\(270\) −31.4417 + 54.4587i −1.91348 + 3.31425i
\(271\) −14.4206 24.9772i −0.875990 1.51726i −0.855704 0.517465i \(-0.826876\pi\)
−0.0202859 0.999794i \(-0.506458\pi\)
\(272\) −0.526559 14.5995i −0.0319273 0.885227i
\(273\) −4.45929 7.72372i −0.269889 0.467461i
\(274\) −13.3745 −0.807983
\(275\) 24.1599 13.9487i 1.45689 0.841138i
\(276\) 21.5417 + 37.3113i 1.29666 + 2.24588i
\(277\) −2.22666 1.28556i −0.133787 0.0772421i 0.431613 0.902059i \(-0.357945\pi\)
−0.565400 + 0.824817i \(0.691278\pi\)
\(278\) 11.2348 + 6.48643i 0.673820 + 0.389030i
\(279\) 11.6156i 0.695405i
\(280\) −0.914979 −0.0546804
\(281\) 6.86624 11.8927i 0.409606 0.709458i −0.585240 0.810860i \(-0.699000\pi\)
0.994845 + 0.101402i \(0.0323330\pi\)
\(282\) −28.8397 16.6506i −1.71738 0.991528i
\(283\) 5.18134 2.99145i 0.307999 0.177823i −0.338032 0.941135i \(-0.609761\pi\)
0.646031 + 0.763311i \(0.276428\pi\)
\(284\) −15.2902 + 8.82781i −0.907308 + 0.523834i
\(285\) −9.88778 −0.585702
\(286\) −43.1316 + 24.9020i −2.55042 + 1.47249i
\(287\) 0.756408 + 1.31014i 0.0446494 + 0.0773350i
\(288\) 25.1817 + 43.6160i 1.48385 + 2.57010i
\(289\) −16.9558 + 1.22468i −0.997402 + 0.0720400i
\(290\) 42.2547 2.48128
\(291\) −13.7049 + 23.7376i −0.803396 + 1.39152i
\(292\) −14.7242 + 8.50104i −0.861671 + 0.497486i
\(293\) −25.6204 −1.49676 −0.748381 0.663269i \(-0.769168\pi\)
−0.748381 + 0.663269i \(0.769168\pi\)
\(294\) 35.2063 20.3264i 2.05328 1.18546i
\(295\) 22.9557 + 13.2535i 1.33653 + 0.771649i
\(296\) −3.96926 2.29166i −0.230709 0.133200i
\(297\) 54.9100 3.18620
\(298\) −14.9980 + 25.9772i −0.868808 + 1.50482i
\(299\) 27.6680i 1.60008i
\(300\) 33.0806i 1.90991i
\(301\) 0.155031 4.48001i 0.00893586 0.258223i
\(302\) −16.5908 −0.954696
\(303\) 20.4207i 1.17314i
\(304\) −1.83126 + 3.17184i −0.105030 + 0.181917i
\(305\) −34.2251 −1.95973
\(306\) 44.4698 27.8586i 2.54217 1.59257i
\(307\) 6.15036 10.6527i 0.351020 0.607984i −0.635409 0.772176i \(-0.719168\pi\)
0.986428 + 0.164192i \(0.0525017\pi\)
\(308\) 4.25965 + 7.37792i 0.242716 + 0.420396i
\(309\) 6.88505i 0.391677i
\(310\) 6.05272 + 10.4836i 0.343771 + 0.595430i
\(311\) −13.6346 7.87195i −0.773148 0.446377i 0.0608482 0.998147i \(-0.480619\pi\)
−0.833997 + 0.551770i \(0.813953\pi\)
\(312\) 5.53855i 0.313559i
\(313\) 3.95768 + 2.28497i 0.223702 + 0.129154i 0.607663 0.794195i \(-0.292107\pi\)
−0.383961 + 0.923349i \(0.625440\pi\)
\(314\) −2.60500 4.51200i −0.147009 0.254627i
\(315\) 6.68686 + 11.5820i 0.376762 + 0.652571i
\(316\) 24.1010 13.9147i 1.35579 0.782765i
\(317\) 2.36369i 0.132758i 0.997794 + 0.0663789i \(0.0211446\pi\)
−0.997794 + 0.0663789i \(0.978855\pi\)
\(318\) −6.47351 + 3.73748i −0.363017 + 0.209588i
\(319\) −18.4484 31.9536i −1.03291 1.78906i
\(320\) 26.1065 + 15.0726i 1.45939 + 0.842582i
\(321\) −27.8247 + 48.1938i −1.55302 + 2.68991i
\(322\) 9.02170 0.502760
\(323\) 3.76536 + 1.99655i 0.209510 + 0.111091i
\(324\) −12.0143 + 20.8094i −0.667463 + 1.15608i
\(325\) −10.6221 + 18.3980i −0.589208 + 1.02054i
\(326\) −27.5971 + 15.9332i −1.52846 + 0.882459i
\(327\) −2.86550 4.96319i −0.158462 0.274465i
\(328\) 0.939478i 0.0518740i
\(329\) −3.16808 + 1.82909i −0.174662 + 0.100841i
\(330\) 95.9473 55.3952i 5.28172 3.04940i
\(331\) 5.50577 + 9.53628i 0.302625 + 0.524161i 0.976730 0.214474i \(-0.0688038\pi\)
−0.674105 + 0.738636i \(0.735470\pi\)
\(332\) −0.380011 + 0.658198i −0.0208558 + 0.0361233i
\(333\) 66.9916i 3.67112i
\(334\) 40.3320 + 23.2857i 2.20687 + 1.27414i
\(335\) −6.96175 + 4.01937i −0.380361 + 0.219602i
\(336\) 7.34877 0.400908
\(337\) 0.573538 0.331133i 0.0312426 0.0180379i −0.484297 0.874903i \(-0.660925\pi\)
0.515540 + 0.856866i \(0.327591\pi\)
\(338\) 5.63109 9.75334i 0.306291 0.530512i
\(339\) 4.69461 8.13130i 0.254976 0.441632i
\(340\) 13.4399 25.3468i 0.728883 1.37462i
\(341\) 5.28525 9.15432i 0.286212 0.495734i
\(342\) −13.1557 −0.711380
\(343\) 9.25099i 0.499507i
\(344\) 1.47445 2.36127i 0.0794969 0.127311i
\(345\) 61.5481i 3.31364i
\(346\) 37.4787i 2.01487i
\(347\) −16.3592 9.44498i −0.878207 0.507033i −0.00814030 0.999967i \(-0.502591\pi\)
−0.870067 + 0.492934i \(0.835925\pi\)
\(348\) 43.7521 2.34536
\(349\) 14.8419 25.7069i 0.794467 1.37606i −0.128710 0.991682i \(-0.541084\pi\)
0.923177 0.384375i \(-0.125583\pi\)
\(350\) 5.99905 + 3.46355i 0.320662 + 0.185135i
\(351\) −36.2125 + 20.9073i −1.93288 + 1.11595i
\(352\) 45.8322i 2.44286i
\(353\) −0.314242 0.544283i −0.0167254 0.0289692i 0.857542 0.514415i \(-0.171991\pi\)
−0.874267 + 0.485445i \(0.838657\pi\)
\(354\) 45.3093 + 26.1594i 2.40816 + 1.39035i
\(355\) 25.2225 1.33867
\(356\) 8.26907 14.3224i 0.438260 0.759088i
\(357\) −0.308225 8.54594i −0.0163130 0.452299i
\(358\) −9.46553 16.3948i −0.500269 0.866491i
\(359\) 13.8906 + 24.0592i 0.733119 + 1.26980i 0.955544 + 0.294849i \(0.0952693\pi\)
−0.222425 + 0.974950i \(0.571397\pi\)
\(360\) 8.30525i 0.437725i
\(361\) 8.96576 + 15.5292i 0.471882 + 0.817324i
\(362\) −16.2084 + 9.35793i −0.851895 + 0.491842i
\(363\) −54.8787 31.6842i −2.88039 1.66299i
\(364\) −5.61837 3.24377i −0.294483 0.170020i
\(365\) 24.2888 1.27134
\(366\) −67.5525 −3.53103
\(367\) 23.0272 + 13.2947i 1.20201 + 0.693980i 0.961001 0.276544i \(-0.0891891\pi\)
0.241007 + 0.970523i \(0.422522\pi\)
\(368\) −19.7436 11.3990i −1.02921 0.594213i
\(369\) 11.8921 6.86591i 0.619078 0.357425i
\(370\) 34.9085 + 60.4633i 1.81481 + 3.14334i
\(371\) 0.821136i 0.0426313i
\(372\) 6.26722 + 10.8551i 0.324940 + 0.562813i
\(373\) 2.44220 + 4.23002i 0.126452 + 0.219022i 0.922300 0.386475i \(-0.126308\pi\)
−0.795847 + 0.605497i \(0.792974\pi\)
\(374\) −47.7231 + 1.72122i −2.46770 + 0.0890023i
\(375\) −0.285052 + 0.493724i −0.0147200 + 0.0254958i
\(376\) −2.27178 −0.117158
\(377\) 24.3330 + 14.0487i 1.25322 + 0.723544i
\(378\) 6.81725 + 11.8078i 0.350641 + 0.607329i
\(379\) 3.43324i 0.176354i −0.996105 0.0881769i \(-0.971896\pi\)
0.996105 0.0881769i \(-0.0281041\pi\)
\(380\) −6.22893 + 3.59628i −0.319538 + 0.184485i
\(381\) −41.6211 24.0300i −2.13231 1.23109i
\(382\) −12.5988 + 21.8218i −0.644611 + 1.11650i
\(383\) −14.0869 −0.719805 −0.359902 0.932990i \(-0.617190\pi\)
−0.359902 + 0.932990i \(0.617190\pi\)
\(384\) 8.87579 + 5.12444i 0.452941 + 0.261505i
\(385\) 12.1705i 0.620265i
\(386\) 9.80642i 0.499134i
\(387\) −40.6650 1.40722i −2.06712 0.0715329i
\(388\) 19.9384i 1.01222i
\(389\) 3.55992 0.180495 0.0902476 0.995919i \(-0.471234\pi\)
0.0902476 + 0.995919i \(0.471234\pi\)
\(390\) −42.1841 + 73.0650i −2.13607 + 3.69979i
\(391\) −12.4279 + 23.4381i −0.628504 + 1.18532i
\(392\) 1.38665 2.40175i 0.0700364 0.121307i
\(393\) 14.6381 25.3540i 0.738395 1.27894i
\(394\) 25.0966 14.4895i 1.26435 0.729971i
\(395\) −39.7566 −2.00037
\(396\) 66.9693 38.6648i 3.36534 1.94298i
\(397\) 1.11273 + 0.642434i 0.0558462 + 0.0322428i 0.527663 0.849454i \(-0.323068\pi\)
−0.471817 + 0.881697i \(0.656402\pi\)
\(398\) 23.4385i 1.17486i
\(399\) −1.07194 + 1.85666i −0.0536642 + 0.0929491i
\(400\) −8.75244 15.1597i −0.437622 0.757983i
\(401\) −9.42298 + 5.44036i −0.470561 + 0.271679i −0.716475 0.697613i \(-0.754245\pi\)
0.245913 + 0.969292i \(0.420912\pi\)
\(402\) −13.7409 + 7.93331i −0.685333 + 0.395677i
\(403\) 8.04956i 0.400977i
\(404\) 7.42720 + 12.8643i 0.369517 + 0.640022i
\(405\) 29.7279 17.1634i 1.47719 0.852858i
\(406\) 4.58086 7.93428i 0.227344 0.393772i
\(407\) 30.4822 52.7967i 1.51095 2.61703i
\(408\) 2.48780 4.69182i 0.123165 0.232280i
\(409\) −12.2819 −0.607301 −0.303650 0.952784i \(-0.598205\pi\)
−0.303650 + 0.952784i \(0.598205\pi\)
\(410\) 7.15548 12.3937i 0.353384 0.612079i
\(411\) 17.1331 + 9.89181i 0.845114 + 0.487927i
\(412\) −2.50415 4.33732i −0.123371 0.213685i
\(413\) 4.97730 2.87364i 0.244917 0.141403i
\(414\) 81.8899i 4.02467i
\(415\) 0.940288 0.542875i 0.0461569 0.0266487i
\(416\) 17.4509 + 30.2258i 0.855599 + 1.48194i
\(417\) −9.59476 16.6186i −0.469857 0.813817i
\(418\) 10.3681 + 5.98605i 0.507122 + 0.292787i
\(419\) 9.71694i 0.474704i −0.971424 0.237352i \(-0.923721\pi\)
0.971424 0.237352i \(-0.0762794\pi\)
\(420\) 12.4982 + 7.21584i 0.609850 + 0.352097i
\(421\) 15.9832 + 27.6836i 0.778971 + 1.34922i 0.932535 + 0.361079i \(0.117592\pi\)
−0.153564 + 0.988139i \(0.549075\pi\)
\(422\) 9.03834i 0.439979i
\(423\) 16.6026 + 28.7566i 0.807248 + 1.39819i
\(424\) −0.254968 + 0.441618i −0.0123823 + 0.0214469i
\(425\) −17.2622 + 10.8141i −0.837340 + 0.524562i
\(426\) 49.7833 2.41201
\(427\) −3.71037 + 6.42655i −0.179558 + 0.311003i
\(428\) 40.4804i 1.95669i
\(429\) 73.6704 3.55684
\(430\) −37.4355 + 19.9199i −1.80530 + 0.960624i
\(431\) 6.73660i 0.324491i −0.986750 0.162245i \(-0.948126\pi\)
0.986750 0.162245i \(-0.0518736\pi\)
\(432\) 34.4545i 1.65770i
\(433\) 8.06048 13.9612i 0.387362 0.670931i −0.604732 0.796429i \(-0.706720\pi\)
0.992094 + 0.125498i \(0.0400530\pi\)
\(434\) 2.62472 0.125991
\(435\) −54.1294 31.2516i −2.59531 1.49840i
\(436\) −3.61031 2.08442i −0.172903 0.0998254i
\(437\) 5.75988 3.32547i 0.275532 0.159079i
\(438\) 47.9405 2.29069
\(439\) −24.1934 + 13.9681i −1.15469 + 0.666659i −0.950025 0.312173i \(-0.898943\pi\)
−0.204662 + 0.978833i \(0.565610\pi\)
\(440\) 3.77901 6.54544i 0.180157 0.312042i
\(441\) −40.5357 −1.93027
\(442\) 30.8175 19.3060i 1.46584 0.918292i
\(443\) 8.61247 + 14.9172i 0.409191 + 0.708739i 0.994799 0.101855i \(-0.0324777\pi\)
−0.585609 + 0.810594i \(0.699144\pi\)
\(444\) 36.1456 + 62.6060i 1.71539 + 2.97115i
\(445\) −20.4608 + 11.8130i −0.969933 + 0.559991i
\(446\) −27.1820 −1.28711
\(447\) 38.4256 22.1850i 1.81747 1.04932i
\(448\) 5.66044 3.26806i 0.267431 0.154401i
\(449\) −3.42380 1.97673i −0.161579 0.0932877i 0.417030 0.908893i \(-0.363071\pi\)
−0.578609 + 0.815605i \(0.696404\pi\)
\(450\) 31.4386 54.4533i 1.48203 2.56695i
\(451\) −12.4964 −0.588431
\(452\) 6.82989i 0.321251i
\(453\) 21.2534 + 12.2706i 0.998570 + 0.576525i
\(454\) 38.8245 + 22.4154i 1.82213 + 1.05200i
\(455\) 4.63398 + 8.02629i 0.217244 + 0.376278i
\(456\) −1.15301 + 0.665690i −0.0539946 + 0.0311738i
\(457\) 9.76598 0.456833 0.228417 0.973563i \(-0.426645\pi\)
0.228417 + 0.973563i \(0.426645\pi\)
\(458\) −22.5165 38.9998i −1.05213 1.82234i
\(459\) −40.0675 + 1.44511i −1.87019 + 0.0674518i
\(460\) −22.3856 38.7730i −1.04373 1.80780i
\(461\) −7.82345 + 13.5506i −0.364374 + 0.631115i −0.988676 0.150069i \(-0.952050\pi\)
0.624301 + 0.781184i \(0.285384\pi\)
\(462\) 24.0217i 1.11759i
\(463\) −2.46855 + 4.27565i −0.114723 + 0.198706i −0.917669 0.397346i \(-0.869931\pi\)
0.802946 + 0.596052i \(0.203265\pi\)
\(464\) −20.0500 + 11.5759i −0.930799 + 0.537397i
\(465\) 17.9064i 0.830391i
\(466\) −17.4720 + 10.0875i −0.809375 + 0.467293i
\(467\) −1.76541 + 3.05777i −0.0816932 + 0.141497i −0.903977 0.427580i \(-0.859366\pi\)
0.822284 + 0.569077i \(0.192699\pi\)
\(468\) −29.4437 + 50.9979i −1.36103 + 2.35738i
\(469\) 1.74297i 0.0804829i
\(470\) 29.9694 + 17.3029i 1.38239 + 0.798122i
\(471\) 7.70667i 0.355105i
\(472\) 3.56914 0.164283
\(473\) 31.4081 + 19.6122i 1.44415 + 0.901770i
\(474\) −78.4703 −3.60426
\(475\) 5.10676 0.234314
\(476\) −3.30241 5.27152i −0.151366 0.241620i
\(477\) 7.45345 0.341270
\(478\) 27.6718 47.9290i 1.26568 2.19222i
\(479\) −27.3058 15.7650i −1.24763 0.720322i −0.276997 0.960871i \(-0.589339\pi\)
−0.970637 + 0.240549i \(0.922673\pi\)
\(480\) −38.8199 67.2380i −1.77188 3.06898i
\(481\) 46.4251i 2.11680i
\(482\) 44.1062 25.4647i 2.00898 1.15989i
\(483\) −11.5571 6.67247i −0.525864 0.303608i
\(484\) −46.0954 −2.09525
\(485\) 14.2418 24.6675i 0.646686 1.12009i
\(486\) 6.85740 3.95912i 0.311058 0.179589i
\(487\) −7.94990 + 4.58988i −0.360244 + 0.207987i −0.669188 0.743093i \(-0.733358\pi\)
0.308944 + 0.951080i \(0.400025\pi\)
\(488\) −3.99097 + 2.30419i −0.180663 + 0.104306i
\(489\) 47.1370 2.13161
\(490\) −36.5855 + 21.1227i −1.65277 + 0.954225i
\(491\) 16.3000 + 28.2324i 0.735609 + 1.27411i 0.954456 + 0.298353i \(0.0964371\pi\)
−0.218847 + 0.975759i \(0.570230\pi\)
\(492\) 7.40906 12.8329i 0.334026 0.578550i
\(493\) 14.3026 + 22.8308i 0.644159 + 1.02825i
\(494\) −9.11689 −0.410188
\(495\) −110.471 −4.96532
\(496\) −5.74409 3.31635i −0.257917 0.148909i
\(497\) 2.73439 4.73610i 0.122654 0.212443i
\(498\) 1.85591 1.07151i 0.0831654 0.0480155i
\(499\) −3.75431 + 2.16755i −0.168066 + 0.0970330i −0.581674 0.813422i \(-0.697602\pi\)
0.413608 + 0.910455i \(0.364269\pi\)
\(500\) 0.414704i 0.0185461i
\(501\) −34.4443 59.6593i −1.53886 2.66538i
\(502\) 28.3157 + 49.0442i 1.26379 + 2.18895i
\(503\) −12.9062 + 7.45139i −0.575459 + 0.332241i −0.759327 0.650710i \(-0.774471\pi\)
0.183868 + 0.982951i \(0.441138\pi\)
\(504\) 1.55950 + 0.900379i 0.0694657 + 0.0401061i
\(505\) 21.2207i 0.944308i
\(506\) −37.2611 + 64.5381i −1.65646 + 2.86907i
\(507\) −14.4272 + 8.32954i −0.640734 + 0.369928i
\(508\) −34.9597 −1.55108
\(509\) 20.5180 + 35.5382i 0.909443 + 1.57520i 0.814840 + 0.579687i \(0.196825\pi\)
0.0946035 + 0.995515i \(0.469842\pi\)
\(510\) −68.5542 + 42.9466i −3.03563 + 1.90171i
\(511\) 2.63317 4.56078i 0.116485 0.201757i
\(512\) −31.7668 −1.40391
\(513\) 8.70490 + 5.02578i 0.384331 + 0.221893i
\(514\) 17.7839 0.784413
\(515\) 7.15477i 0.315277i
\(516\) −38.7621 + 20.6258i −1.70641 + 0.908002i
\(517\) 30.2178i 1.32898i
\(518\) 15.1378 0.665118
\(519\) 27.7193 48.0113i 1.21674 2.10746i
\(520\) 5.75553i 0.252396i
\(521\) 6.21683 + 3.58929i 0.272364 + 0.157249i 0.629961 0.776626i \(-0.283071\pi\)
−0.357597 + 0.933876i \(0.616404\pi\)
\(522\) −72.0194 41.5804i −3.15220 1.81992i
\(523\) −1.92374 3.33201i −0.0841192 0.145699i 0.820896 0.571077i \(-0.193474\pi\)
−0.905016 + 0.425379i \(0.860141\pi\)
\(524\) 21.2961i 0.930323i
\(525\) −5.12330 8.87382i −0.223599 0.387285i
\(526\) 22.0455 38.1840i 0.961230 1.66490i
\(527\) −3.61569 + 6.81894i −0.157502 + 0.297038i
\(528\) −30.3516 + 52.5705i −1.32088 + 2.28784i
\(529\) 9.19990 + 15.9347i 0.399996 + 0.692813i
\(530\) 6.72711 3.88390i 0.292207 0.168706i
\(531\) −26.0840 45.1789i −1.13195 1.96060i
\(532\) 1.55950i 0.0676129i
\(533\) 8.24120 4.75806i 0.356966 0.206095i
\(534\) −40.3848 + 23.3162i −1.74762 + 1.00899i
\(535\) 28.9147 50.0818i 1.25009 2.16522i
\(536\) −0.541204 + 0.937392i −0.0233764 + 0.0404892i
\(537\) 28.0029i 1.20841i
\(538\) 34.7923i 1.50000i
\(539\) 31.9466 + 18.4444i 1.37604 + 0.794454i
\(540\) 33.8313 58.5976i 1.45587 2.52164i
\(541\) 12.8839 7.43849i 0.553920 0.319806i −0.196782 0.980447i \(-0.563049\pi\)
0.750702 + 0.660641i \(0.229716\pi\)
\(542\) 29.5780 + 51.2306i 1.27048 + 2.20054i
\(543\) 27.6846 1.18806
\(544\) 1.20620 + 33.4434i 0.0517154 + 1.43388i
\(545\) 2.97775 + 5.15762i 0.127553 + 0.220928i
\(546\) 9.14641 + 15.8421i 0.391430 + 0.677977i
\(547\) −38.4238 22.1840i −1.64288 0.948520i −0.979801 0.199974i \(-0.935914\pi\)
−0.663083 0.748546i \(-0.730752\pi\)
\(548\) 14.3910 0.614752
\(549\) 58.3338 + 33.6790i 2.48962 + 1.43739i
\(550\) −49.5541 + 28.6101i −2.11299 + 1.21994i
\(551\) 6.75416i 0.287737i
\(552\) −4.14369 7.17708i −0.176367 0.305477i
\(553\) −4.31004 + 7.46521i −0.183282 + 0.317453i
\(554\) 4.56709 + 2.63681i 0.194037 + 0.112027i
\(555\) 103.274i 4.38372i
\(556\) −12.0887 6.97940i −0.512674 0.295993i
\(557\) −2.14157 −0.0907413 −0.0453706 0.998970i \(-0.514447\pi\)
−0.0453706 + 0.998970i \(0.514447\pi\)
\(558\) 23.8246i 1.00857i
\(559\) −28.1807 0.975200i −1.19192 0.0412466i
\(560\) −7.63665 −0.322707
\(561\) 62.4077 + 33.0912i 2.63486 + 1.39711i
\(562\) −14.0833 + 24.3930i −0.594068 + 1.02896i
\(563\) 21.7581 0.916993 0.458496 0.888696i \(-0.348388\pi\)
0.458496 + 0.888696i \(0.348388\pi\)
\(564\) 31.0315 + 17.9160i 1.30666 + 0.754401i
\(565\) −4.87852 + 8.44984i −0.205241 + 0.355488i
\(566\) −10.6274 + 6.13574i −0.446703 + 0.257904i
\(567\) 7.44280i 0.312568i
\(568\) 2.94118 1.69809i 0.123409 0.0712502i
\(569\) −5.01506 + 8.68634i −0.210242 + 0.364150i −0.951790 0.306749i \(-0.900759\pi\)
0.741548 + 0.670900i \(0.234092\pi\)
\(570\) 20.2807 0.849467
\(571\) 8.22999 + 4.75159i 0.344414 + 0.198848i 0.662222 0.749307i \(-0.269613\pi\)
−0.317808 + 0.948155i \(0.602947\pi\)
\(572\) 46.4096 26.7946i 1.94048 1.12034i
\(573\) 32.2789 18.6362i 1.34847 0.778539i
\(574\) −1.55146 2.68721i −0.0647568 0.112162i
\(575\) 31.7879i 1.32565i
\(576\) −29.6641 51.3797i −1.23600 2.14082i
\(577\) −4.82932 8.36462i −0.201047 0.348224i 0.747819 0.663903i \(-0.231101\pi\)
−0.948866 + 0.315679i \(0.897768\pi\)
\(578\) 34.7780 2.51193i 1.44657 0.104483i
\(579\) 7.25285 12.5623i 0.301418 0.522072i
\(580\) −45.4660 −1.88787
\(581\) 0.235414i 0.00976662i
\(582\) 28.1100 48.6880i 1.16520 2.01818i
\(583\) −5.87413 3.39143i −0.243281 0.140459i
\(584\) 2.83231 1.63523i 0.117202 0.0676664i
\(585\) 72.8546 42.0626i 3.01217 1.73907i
\(586\) 52.5498 2.17081
\(587\) 3.64827 + 6.31899i 0.150580 + 0.260813i 0.931441 0.363893i \(-0.118552\pi\)
−0.780861 + 0.624705i \(0.785219\pi\)
\(588\) −37.8820 + 21.8712i −1.56223 + 0.901953i
\(589\) 1.67574 0.967492i 0.0690479 0.0398648i
\(590\) −47.0843 27.1841i −1.93843 1.11915i
\(591\) −42.8659 −1.76327
\(592\) −33.1285 19.1268i −1.36157 0.786105i
\(593\) −18.6934 32.3779i −0.767645 1.32960i −0.938837 0.344362i \(-0.888095\pi\)
0.171192 0.985238i \(-0.445238\pi\)
\(594\) −112.625 −4.62108
\(595\) 0.320300 + 8.88072i 0.0131310 + 0.364074i
\(596\) 16.1378 27.9515i 0.661030 1.14494i
\(597\) 17.3351 30.0254i 0.709480 1.22886i
\(598\) 56.7495i 2.32066i
\(599\) −5.43494 + 9.41359i −0.222066 + 0.384629i −0.955435 0.295201i \(-0.904613\pi\)
0.733369 + 0.679830i \(0.237947\pi\)
\(600\) 6.36327i 0.259779i
\(601\) 18.0742i 0.737262i −0.929576 0.368631i \(-0.879827\pi\)
0.929576 0.368631i \(-0.120173\pi\)
\(602\) −0.317984 + 9.18890i −0.0129600 + 0.374512i
\(603\) 15.8209 0.644278
\(604\) 17.8518 0.726378
\(605\) 57.0286 + 32.9255i 2.31854 + 1.33861i
\(606\) 41.8847i 1.70145i
\(607\) 1.52330 + 0.879479i 0.0618290 + 0.0356970i 0.530596 0.847625i \(-0.321968\pi\)
−0.468767 + 0.883322i \(0.655302\pi\)
\(608\) 4.19491 7.26579i 0.170126 0.294667i
\(609\) −11.7364 + 6.77603i −0.475584 + 0.274579i
\(610\) 70.1989 2.84227
\(611\) 11.5056 + 19.9283i 0.465467 + 0.806212i
\(612\) −47.8495 + 29.9759i −1.93420 + 1.21170i
\(613\) −18.3114 −0.739590 −0.369795 0.929113i \(-0.620572\pi\)
−0.369795 + 0.929113i \(0.620572\pi\)
\(614\) −12.6150 + 21.8497i −0.509098 + 0.881784i
\(615\) −18.3328 + 10.5844i −0.739248 + 0.426805i
\(616\) −0.819371 1.41919i −0.0330134 0.0571809i
\(617\) −34.0339 + 19.6495i −1.37015 + 0.791058i −0.990947 0.134254i \(-0.957136\pi\)
−0.379206 + 0.925312i \(0.623803\pi\)
\(618\) 14.1219i 0.568064i
\(619\) −14.1554 + 8.17264i −0.568955 + 0.328486i −0.756732 0.653725i \(-0.773205\pi\)
0.187777 + 0.982212i \(0.439872\pi\)
\(620\) −6.51273 11.2804i −0.261558 0.453031i
\(621\) −31.2838 + 54.1851i −1.25537 + 2.17437i
\(622\) 27.9659 + 16.1461i 1.12133 + 0.647399i
\(623\) 5.12263i 0.205234i
\(624\) 46.2262i 1.85053i
\(625\) 12.6472 21.9056i 0.505889 0.876225i
\(626\) −8.11757 4.68668i −0.324443 0.187318i
\(627\) −8.85459 15.3366i −0.353618 0.612485i
\(628\) 2.80299 + 4.85492i 0.111851 + 0.193732i
\(629\) −20.8532 + 39.3276i −0.831470 + 1.56810i
\(630\) −13.7154 23.7557i −0.546433 0.946450i
\(631\) −0.0315464 0.0546400i −0.00125584 0.00217518i 0.865397 0.501087i \(-0.167066\pi\)
−0.866653 + 0.498912i \(0.833733\pi\)
\(632\) −4.63599 + 2.67659i −0.184410 + 0.106469i
\(633\) −6.68478 + 11.5784i −0.265696 + 0.460199i
\(634\) 4.84814i 0.192544i
\(635\) 43.2516 + 24.9713i 1.71639 + 0.990957i
\(636\) 6.96551 4.02154i 0.276200 0.159464i
\(637\) −28.0912 −1.11301
\(638\) 37.8394 + 65.5398i 1.49808 + 2.59474i
\(639\) −42.9895 24.8200i −1.70064 0.981864i
\(640\) −9.22350 5.32519i −0.364591 0.210497i
\(641\) 4.39253i 0.173494i 0.996230 + 0.0867472i \(0.0276472\pi\)
−0.996230 + 0.0867472i \(0.972353\pi\)
\(642\) 57.0710 98.8499i 2.25241 3.90129i
\(643\) 49.9514i 1.96989i −0.172863 0.984946i \(-0.555302\pi\)
0.172863 0.984946i \(-0.444698\pi\)
\(644\) −9.70736 −0.382523
\(645\) 62.6888 + 2.16936i 2.46837 + 0.0854183i
\(646\) −7.72310 4.09511i −0.303861 0.161120i
\(647\) −9.31517 −0.366217 −0.183109 0.983093i \(-0.558616\pi\)
−0.183109 + 0.983093i \(0.558616\pi\)
\(648\) 2.31104 4.00284i 0.0907862 0.157246i
\(649\) 47.4745i 1.86354i
\(650\) 21.7869 37.7360i 0.854552 1.48013i
\(651\) −3.36234 1.94125i −0.131781 0.0760836i
\(652\) 29.6945 17.1441i 1.16293 0.671417i
\(653\) 7.95187i 0.311181i 0.987822 + 0.155590i \(0.0497280\pi\)
−0.987822 + 0.155590i \(0.950272\pi\)
\(654\) 5.87740 + 10.1800i 0.229824 + 0.398068i
\(655\) −15.2116 + 26.3472i −0.594365 + 1.02947i
\(656\) 7.84113i 0.306145i
\(657\) −41.3982 23.9013i −1.61510 0.932477i
\(658\) 6.49802 3.75163i 0.253319 0.146254i
\(659\) 1.51551 + 2.62494i 0.0590359 + 0.102253i 0.894033 0.448001i \(-0.147864\pi\)
−0.834997 + 0.550255i \(0.814531\pi\)
\(660\) −103.239 + 59.6052i −4.01858 + 2.32013i
\(661\) 18.9832 0.738362 0.369181 0.929357i \(-0.379638\pi\)
0.369181 + 0.929357i \(0.379638\pi\)
\(662\) −11.2928 19.5598i −0.438909 0.760213i
\(663\) −53.7568 + 1.93884i −2.08774 + 0.0752983i
\(664\) 0.0730976 0.126609i 0.00283674 0.00491337i
\(665\) 1.11393 1.92939i 0.0431965 0.0748186i
\(666\) 137.406i 5.32437i
\(667\) 42.0423 1.62789
\(668\) −43.3972 25.0554i −1.67909 0.969423i
\(669\) 34.8209 + 20.1039i 1.34626 + 0.777261i
\(670\) 14.2792 8.24409i 0.551653 0.318497i
\(671\) −30.6489 53.0854i −1.18319 2.04934i
\(672\) −16.8340 −0.649384
\(673\) −20.7134 + 11.9589i −0.798444 + 0.460982i −0.842927 0.538028i \(-0.819169\pi\)
0.0444829 + 0.999010i \(0.485836\pi\)
\(674\) −1.17638 + 0.679183i −0.0453125 + 0.0261612i
\(675\) −41.6047 + 24.0205i −1.60137 + 0.924549i
\(676\) −6.05906 + 10.4946i −0.233041 + 0.403638i
\(677\) 3.83828i 0.147517i 0.997276 + 0.0737586i \(0.0234994\pi\)
−0.997276 + 0.0737586i \(0.976501\pi\)
\(678\) −9.62907 + 16.6780i −0.369802 + 0.640516i
\(679\) −3.08793 5.34844i −0.118504 0.205254i
\(680\) −2.58526 + 4.87562i −0.0991402 + 0.186972i
\(681\) −33.1569 57.4294i −1.27058 2.20070i
\(682\) −10.8405 + 18.7763i −0.415105 + 0.718983i
\(683\) 11.1382 + 6.43062i 0.426190 + 0.246061i 0.697722 0.716368i \(-0.254197\pi\)
−0.271532 + 0.962429i \(0.587530\pi\)
\(684\) 14.1556 0.541252
\(685\) −17.8043 10.2793i −0.680268 0.392753i
\(686\) 18.9746i 0.724455i
\(687\) 66.6131i 2.54145i
\(688\) 12.3061 19.7077i 0.469167 0.751351i
\(689\) 5.16522 0.196779
\(690\) 126.241i 4.80590i
\(691\) −16.7418 9.66589i −0.636888 0.367708i 0.146526 0.989207i \(-0.453191\pi\)
−0.783415 + 0.621499i \(0.786524\pi\)
\(692\) 40.3271i 1.53301i
\(693\) −11.9763 + 20.7435i −0.454941 + 0.787981i
\(694\) 33.5542 + 19.3725i 1.27370 + 0.735371i
\(695\) 9.97063 + 17.2696i 0.378208 + 0.655075i
\(696\) −8.41600 −0.319008
\(697\) 9.11851 0.328876i 0.345388 0.0124571i
\(698\) −30.4420 + 52.7271i −1.15225 + 1.99575i
\(699\) 29.8429 1.12876
\(700\) −6.45498 3.72678i −0.243975 0.140859i
\(701\) 12.6225 + 21.8627i 0.476744 + 0.825744i 0.999645 0.0266490i \(-0.00848366\pi\)
−0.522901 + 0.852393i \(0.675150\pi\)
\(702\) 74.2751 42.8828i 2.80333 1.61851i
\(703\) 9.66470 5.57992i 0.364511 0.210451i
\(704\) 53.9904i 2.03484i
\(705\) −25.5945 44.3309i −0.963944 1.66960i
\(706\) 0.644539 + 1.11637i 0.0242575 + 0.0420153i
\(707\) −3.98467 2.30055i −0.149859 0.0865211i
\(708\) −48.7529 28.1475i −1.83225 1.05785i
\(709\) 14.2535i 0.535303i 0.963516 + 0.267652i \(0.0862476\pi\)
−0.963516 + 0.267652i \(0.913752\pi\)
\(710\) −51.7336 −1.94153
\(711\) 67.7616 + 39.1222i 2.54126 + 1.46720i
\(712\) −1.59061 + 2.75502i −0.0596107 + 0.103249i
\(713\) 6.02231 + 10.4309i 0.225537 + 0.390642i
\(714\) 0.632198 + 17.5285i 0.0236594 + 0.655988i
\(715\) −76.5564 −2.86305
\(716\) 10.1849 + 17.6408i 0.380628 + 0.659267i
\(717\) −70.8968 + 40.9323i −2.64769 + 1.52864i
\(718\) −28.4909 49.3477i −1.06327 1.84164i
\(719\) −13.1423 7.58774i −0.490127 0.282975i 0.234500 0.972116i \(-0.424655\pi\)
−0.724627 + 0.689141i \(0.757988\pi\)
\(720\) 69.3178i 2.58332i
\(721\) 1.34347 + 0.775653i 0.0500335 + 0.0288868i
\(722\) −18.3896 31.8517i −0.684390 1.18540i
\(723\) −75.3351 −2.80174
\(724\) 17.4403 10.0691i 0.648162 0.374217i
\(725\) 27.9563 + 16.1406i 1.03827 + 0.599447i
\(726\) 112.561 + 64.9873i 4.17754 + 2.41190i
\(727\) 24.9894 0.926804 0.463402 0.886148i \(-0.346629\pi\)
0.463402 + 0.886148i \(0.346629\pi\)
\(728\) 1.08073 + 0.623961i 0.0400546 + 0.0231255i
\(729\) 20.9501 0.775930
\(730\) −49.8186 −1.84387
\(731\) −23.4344 13.4843i −0.866754 0.498735i
\(732\) 72.6866 2.68657
\(733\) −42.9208 −1.58532 −0.792659 0.609666i \(-0.791304\pi\)
−0.792659 + 0.609666i \(0.791304\pi\)
\(734\) −47.2308 27.2687i −1.74332 1.00651i
\(735\) 62.4895 2.30496
\(736\) 45.2271 + 26.1119i 1.66709 + 0.962496i
\(737\) −12.4686 7.19876i −0.459287 0.265170i
\(738\) −24.3918 + 14.0826i −0.897874 + 0.518388i
\(739\) 32.2619 1.18677 0.593386 0.804918i \(-0.297791\pi\)
0.593386 + 0.804918i \(0.297791\pi\)
\(740\) −37.5616 65.0586i −1.38079 2.39160i
\(741\) 11.6790 + 6.74287i 0.429039 + 0.247706i
\(742\) 1.68423i 0.0618299i
\(743\) 37.7905 + 21.8184i 1.38640 + 0.800438i 0.992907 0.118890i \(-0.0379337\pi\)
0.393492 + 0.919328i \(0.371267\pi\)
\(744\) −1.20554 2.08806i −0.0441973 0.0765519i
\(745\) −39.9309 + 23.0541i −1.46296 + 0.844638i
\(746\) −5.00918 8.67615i −0.183399 0.317656i
\(747\) −2.13685 −0.0781833
\(748\) 51.3501 1.85204i 1.87755 0.0677172i
\(749\) −6.26933 10.8588i −0.229076 0.396772i
\(750\) 0.584667 1.01267i 0.0213490 0.0369776i
\(751\) 28.9263 + 16.7006i 1.05554 + 0.609415i 0.924194 0.381922i \(-0.124738\pi\)
0.131343 + 0.991337i \(0.458071\pi\)
\(752\) −18.9609 −0.691431
\(753\) 83.7693i 3.05272i
\(754\) −49.9093 28.8151i −1.81759 1.04939i
\(755\) −22.0860 12.7513i −0.803790 0.464068i
\(756\) −7.33536 12.7052i −0.266785 0.462084i
\(757\) −21.7888 37.7392i −0.791926 1.37166i −0.924773 0.380519i \(-0.875745\pi\)
0.132847 0.991137i \(-0.457588\pi\)
\(758\) 7.04189i 0.255773i
\(759\) 95.4651 55.1168i 3.46516 2.00061i
\(760\) 1.19818 0.691768i 0.0434624 0.0250931i
\(761\) 5.72496 + 9.91593i 0.207530 + 0.359452i 0.950936 0.309388i \(-0.100124\pi\)
−0.743406 + 0.668840i \(0.766791\pi\)
\(762\) 85.3687 + 49.2876i 3.09258 + 1.78550i