Properties

Label 722.2.e.c.99.1
Level 722
Weight 2
Character 722.99
Analytic conductor 5.765
Analytic rank 0
Dimension 6
CM no
Inner twists 6

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Newspace parameters

Level: \( N \) \(=\) \( 722 = 2 \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 722.e (of order \(9\), degree \(6\), not minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.76519902594\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \(x^{6} - x^{3} + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: no (minimal twist has level 38)
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 99.1
Root \(-0.173648 - 0.984808i\) of defining polynomial
Character \(\chi\) \(=\) 722.99
Dual form 722.2.e.c.423.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 - 0.342020i) q^{2} +(-0.173648 - 0.984808i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-3.06418 + 2.57115i) q^{5} +(-0.173648 + 0.984808i) q^{6} +(-1.50000 + 2.59808i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(1.87939 - 0.684040i) q^{9} +O(q^{10})\) \(q+(-0.939693 - 0.342020i) q^{2} +(-0.173648 - 0.984808i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-3.06418 + 2.57115i) q^{5} +(-0.173648 + 0.984808i) q^{6} +(-1.50000 + 2.59808i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(1.87939 - 0.684040i) q^{9} +(3.75877 - 1.36808i) q^{10} +(-1.00000 - 1.73205i) q^{11} +(0.500000 - 0.866025i) q^{12} +(-0.173648 + 0.984808i) q^{13} +(2.29813 - 1.92836i) q^{14} +(3.06418 + 2.57115i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-2.81908 - 1.02606i) q^{17} -2.00000 q^{18} -4.00000 q^{20} +(2.81908 + 1.02606i) q^{21} +(0.347296 + 1.96962i) q^{22} +(-0.766044 - 0.642788i) q^{23} +(-0.766044 + 0.642788i) q^{24} +(1.91013 - 10.8329i) q^{25} +(0.500000 - 0.866025i) q^{26} +(-2.50000 - 4.33013i) q^{27} +(-2.81908 + 1.02606i) q^{28} +(4.69846 - 1.71010i) q^{29} +(-2.00000 - 3.46410i) q^{30} +(4.00000 - 6.92820i) q^{31} +(0.173648 - 0.984808i) q^{32} +(-1.53209 + 1.28558i) q^{33} +(2.29813 + 1.92836i) q^{34} +(-2.08378 - 11.8177i) q^{35} +(1.87939 + 0.684040i) q^{36} -2.00000 q^{37} +1.00000 q^{39} +(3.75877 + 1.36808i) q^{40} +(-1.38919 - 7.87846i) q^{41} +(-2.29813 - 1.92836i) q^{42} +(3.06418 - 2.57115i) q^{43} +(0.347296 - 1.96962i) q^{44} +(-4.00000 + 6.92820i) q^{45} +(0.500000 + 0.866025i) q^{46} +(-7.51754 + 2.73616i) q^{47} +(0.939693 - 0.342020i) q^{48} +(-1.00000 - 1.73205i) q^{49} +(-5.50000 + 9.52628i) q^{50} +(-0.520945 + 2.95442i) q^{51} +(-0.766044 + 0.642788i) q^{52} +(-0.766044 - 0.642788i) q^{53} +(0.868241 + 4.92404i) q^{54} +(7.51754 + 2.73616i) q^{55} +3.00000 q^{56} -5.00000 q^{58} +(-14.0954 - 5.13030i) q^{59} +(0.694593 + 3.93923i) q^{60} +(1.53209 + 1.28558i) q^{61} +(-6.12836 + 5.14230i) q^{62} +(-1.04189 + 5.90885i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-2.00000 - 3.46410i) q^{65} +(1.87939 - 0.684040i) q^{66} +(-2.81908 + 1.02606i) q^{67} +(-1.50000 - 2.59808i) q^{68} +(-0.500000 + 0.866025i) q^{69} +(-2.08378 + 11.8177i) q^{70} +(1.53209 - 1.28558i) q^{71} +(-1.53209 - 1.28558i) q^{72} +(1.56283 + 8.86327i) q^{73} +(1.87939 + 0.684040i) q^{74} -11.0000 q^{75} +6.00000 q^{77} +(-0.939693 - 0.342020i) q^{78} +(-1.73648 - 9.84808i) q^{79} +(-3.06418 - 2.57115i) q^{80} +(0.766044 - 0.642788i) q^{81} +(-1.38919 + 7.87846i) q^{82} +(3.00000 - 5.19615i) q^{83} +(1.50000 + 2.59808i) q^{84} +(11.2763 - 4.10424i) q^{85} +(-3.75877 + 1.36808i) q^{86} +(-2.50000 - 4.33013i) q^{87} +(-1.00000 + 1.73205i) q^{88} +(6.12836 - 5.14230i) q^{90} +(-2.29813 - 1.92836i) q^{91} +(-0.173648 - 0.984808i) q^{92} +(-7.51754 - 2.73616i) q^{93} +8.00000 q^{94} -1.00000 q^{96} +(1.87939 + 0.684040i) q^{97} +(0.347296 + 1.96962i) q^{98} +(-3.06418 - 2.57115i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q - 9q^{7} - 3q^{8} + O(q^{10}) \) \( 6q - 9q^{7} - 3q^{8} - 6q^{11} + 3q^{12} - 12q^{18} - 24q^{20} + 3q^{26} - 15q^{27} - 12q^{30} + 24q^{31} - 12q^{37} + 6q^{39} - 24q^{45} + 3q^{46} - 6q^{49} - 33q^{50} + 18q^{56} - 30q^{58} - 3q^{64} - 12q^{65} - 9q^{68} - 3q^{69} - 66q^{75} + 36q^{77} + 18q^{83} + 9q^{84} - 15q^{87} - 6q^{88} + 48q^{94} - 6q^{96} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).

\(n\) \(363\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 0.342020i −0.664463 0.241845i
\(3\) −0.173648 0.984808i −0.100256 0.568579i −0.993010 0.118034i \(-0.962341\pi\)
0.892754 0.450545i \(-0.148770\pi\)
\(4\) 0.766044 + 0.642788i 0.383022 + 0.321394i
\(5\) −3.06418 + 2.57115i −1.37034 + 1.14985i −0.397708 + 0.917512i \(0.630194\pi\)
−0.972634 + 0.232341i \(0.925361\pi\)
\(6\) −0.173648 + 0.984808i −0.0708916 + 0.402046i
\(7\) −1.50000 + 2.59808i −0.566947 + 0.981981i 0.429919 + 0.902867i \(0.358542\pi\)
−0.996866 + 0.0791130i \(0.974791\pi\)
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) 1.87939 0.684040i 0.626462 0.228013i
\(10\) 3.75877 1.36808i 1.18863 0.432625i
\(11\) −1.00000 1.73205i −0.301511 0.522233i 0.674967 0.737848i \(-0.264158\pi\)
−0.976478 + 0.215615i \(0.930824\pi\)
\(12\) 0.500000 0.866025i 0.144338 0.250000i
\(13\) −0.173648 + 0.984808i −0.0481613 + 0.273137i −0.999373 0.0354021i \(-0.988729\pi\)
0.951212 + 0.308539i \(0.0998399\pi\)
\(14\) 2.29813 1.92836i 0.614202 0.515377i
\(15\) 3.06418 + 2.57115i 0.791167 + 0.663868i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) −2.81908 1.02606i −0.683727 0.248856i −0.0232799 0.999729i \(-0.507411\pi\)
−0.660447 + 0.750873i \(0.729633\pi\)
\(18\) −2.00000 −0.471405
\(19\) 0 0
\(20\) −4.00000 −0.894427
\(21\) 2.81908 + 1.02606i 0.615173 + 0.223905i
\(22\) 0.347296 + 1.96962i 0.0740438 + 0.419923i
\(23\) −0.766044 0.642788i −0.159731 0.134030i 0.559419 0.828885i \(-0.311024\pi\)
−0.719150 + 0.694855i \(0.755469\pi\)
\(24\) −0.766044 + 0.642788i −0.156368 + 0.131208i
\(25\) 1.91013 10.8329i 0.382026 2.16658i
\(26\) 0.500000 0.866025i 0.0980581 0.169842i
\(27\) −2.50000 4.33013i −0.481125 0.833333i
\(28\) −2.81908 + 1.02606i −0.532756 + 0.193907i
\(29\) 4.69846 1.71010i 0.872483 0.317558i 0.133311 0.991074i \(-0.457439\pi\)
0.739172 + 0.673517i \(0.235217\pi\)
\(30\) −2.00000 3.46410i −0.365148 0.632456i
\(31\) 4.00000 6.92820i 0.718421 1.24434i −0.243204 0.969975i \(-0.578198\pi\)
0.961625 0.274367i \(-0.0884683\pi\)
\(32\) 0.173648 0.984808i 0.0306970 0.174091i
\(33\) −1.53209 + 1.28558i −0.266702 + 0.223790i
\(34\) 2.29813 + 1.92836i 0.394127 + 0.330711i
\(35\) −2.08378 11.8177i −0.352223 1.99755i
\(36\) 1.87939 + 0.684040i 0.313231 + 0.114007i
\(37\) −2.00000 −0.328798 −0.164399 0.986394i \(-0.552568\pi\)
−0.164399 + 0.986394i \(0.552568\pi\)
\(38\) 0 0
\(39\) 1.00000 0.160128
\(40\) 3.75877 + 1.36808i 0.594314 + 0.216313i
\(41\) −1.38919 7.87846i −0.216954 1.23041i −0.877483 0.479608i \(-0.840779\pi\)
0.660529 0.750801i \(-0.270332\pi\)
\(42\) −2.29813 1.92836i −0.354610 0.297553i
\(43\) 3.06418 2.57115i 0.467283 0.392097i −0.378520 0.925593i \(-0.623567\pi\)
0.845802 + 0.533497i \(0.179122\pi\)
\(44\) 0.347296 1.96962i 0.0523569 0.296931i
\(45\) −4.00000 + 6.92820i −0.596285 + 1.03280i
\(46\) 0.500000 + 0.866025i 0.0737210 + 0.127688i
\(47\) −7.51754 + 2.73616i −1.09655 + 0.399110i −0.826042 0.563609i \(-0.809413\pi\)
−0.270504 + 0.962719i \(0.587190\pi\)
\(48\) 0.939693 0.342020i 0.135633 0.0493664i
\(49\) −1.00000 1.73205i −0.142857 0.247436i
\(50\) −5.50000 + 9.52628i −0.777817 + 1.34722i
\(51\) −0.520945 + 2.95442i −0.0729468 + 0.413702i
\(52\) −0.766044 + 0.642788i −0.106231 + 0.0891386i
\(53\) −0.766044 0.642788i −0.105224 0.0882937i 0.588658 0.808382i \(-0.299657\pi\)
−0.693882 + 0.720089i \(0.744101\pi\)
\(54\) 0.868241 + 4.92404i 0.118153 + 0.670077i
\(55\) 7.51754 + 2.73616i 1.01367 + 0.368944i
\(56\) 3.00000 0.400892
\(57\) 0 0
\(58\) −5.00000 −0.656532
\(59\) −14.0954 5.13030i −1.83506 0.667908i −0.991372 0.131080i \(-0.958155\pi\)
−0.843692 0.536828i \(-0.819622\pi\)
\(60\) 0.694593 + 3.93923i 0.0896715 + 0.508553i
\(61\) 1.53209 + 1.28558i 0.196164 + 0.164601i 0.735579 0.677439i \(-0.236910\pi\)
−0.539415 + 0.842040i \(0.681355\pi\)
\(62\) −6.12836 + 5.14230i −0.778302 + 0.653073i
\(63\) −1.04189 + 5.90885i −0.131266 + 0.744445i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −2.00000 3.46410i −0.248069 0.429669i
\(66\) 1.87939 0.684040i 0.231336 0.0841995i
\(67\) −2.81908 + 1.02606i −0.344405 + 0.125353i −0.508431 0.861103i \(-0.669774\pi\)
0.164026 + 0.986456i \(0.447552\pi\)
\(68\) −1.50000 2.59808i −0.181902 0.315063i
\(69\) −0.500000 + 0.866025i −0.0601929 + 0.104257i
\(70\) −2.08378 + 11.8177i −0.249059 + 1.41248i
\(71\) 1.53209 1.28558i 0.181825 0.152570i −0.547332 0.836915i \(-0.684357\pi\)
0.729158 + 0.684346i \(0.239912\pi\)
\(72\) −1.53209 1.28558i −0.180558 0.151506i
\(73\) 1.56283 + 8.86327i 0.182916 + 1.03737i 0.928604 + 0.371072i \(0.121010\pi\)
−0.745688 + 0.666295i \(0.767879\pi\)
\(74\) 1.87939 + 0.684040i 0.218474 + 0.0795181i
\(75\) −11.0000 −1.27017
\(76\) 0 0
\(77\) 6.00000 0.683763
\(78\) −0.939693 0.342020i −0.106399 0.0387262i
\(79\) −1.73648 9.84808i −0.195369 1.10800i −0.911892 0.410431i \(-0.865378\pi\)
0.716522 0.697564i \(-0.245733\pi\)
\(80\) −3.06418 2.57115i −0.342585 0.287463i
\(81\) 0.766044 0.642788i 0.0851160 0.0714208i
\(82\) −1.38919 + 7.87846i −0.153410 + 0.870031i
\(83\) 3.00000 5.19615i 0.329293 0.570352i −0.653079 0.757290i \(-0.726523\pi\)
0.982372 + 0.186938i \(0.0598564\pi\)
\(84\) 1.50000 + 2.59808i 0.163663 + 0.283473i
\(85\) 11.2763 4.10424i 1.22309 0.445168i
\(86\) −3.75877 + 1.36808i −0.405319 + 0.147524i
\(87\) −2.50000 4.33013i −0.268028 0.464238i
\(88\) −1.00000 + 1.73205i −0.106600 + 0.184637i
\(89\) 0 0 −0.984808 0.173648i \(-0.944444\pi\)
0.984808 + 0.173648i \(0.0555556\pi\)
\(90\) 6.12836 5.14230i 0.645985 0.542046i
\(91\) −2.29813 1.92836i −0.240910 0.202147i
\(92\) −0.173648 0.984808i −0.0181041 0.102673i
\(93\) −7.51754 2.73616i −0.779533 0.283727i
\(94\) 8.00000 0.825137
\(95\) 0 0
\(96\) −1.00000 −0.102062
\(97\) 1.87939 + 0.684040i 0.190823 + 0.0694538i 0.435664 0.900109i \(-0.356514\pi\)
−0.244841 + 0.969563i \(0.578736\pi\)
\(98\) 0.347296 + 1.96962i 0.0350822 + 0.198961i
\(99\) −3.06418 2.57115i −0.307961 0.258410i
\(100\) 8.42649 7.07066i 0.842649 0.707066i
\(101\) 0.347296 1.96962i 0.0345573 0.195984i −0.962642 0.270778i \(-0.912719\pi\)
0.997199 + 0.0747944i \(0.0238300\pi\)
\(102\) 1.50000 2.59808i 0.148522 0.257248i
\(103\) 3.00000 + 5.19615i 0.295599 + 0.511992i 0.975124 0.221660i \(-0.0711475\pi\)
−0.679525 + 0.733652i \(0.737814\pi\)
\(104\) 0.939693 0.342020i 0.0921444 0.0335378i
\(105\) −11.2763 + 4.10424i −1.10046 + 0.400533i
\(106\) 0.500000 + 0.866025i 0.0485643 + 0.0841158i
\(107\) 3.50000 6.06218i 0.338358 0.586053i −0.645766 0.763535i \(-0.723462\pi\)
0.984124 + 0.177482i \(0.0567953\pi\)
\(108\) 0.868241 4.92404i 0.0835465 0.473816i
\(109\) −11.4907 + 9.64181i −1.10061 + 0.923518i −0.997466 0.0711485i \(-0.977334\pi\)
−0.103141 + 0.994667i \(0.532889\pi\)
\(110\) −6.12836 5.14230i −0.584316 0.490299i
\(111\) 0.347296 + 1.96962i 0.0329639 + 0.186948i
\(112\) −2.81908 1.02606i −0.266378 0.0969536i
\(113\) 14.0000 1.31701 0.658505 0.752577i \(-0.271189\pi\)
0.658505 + 0.752577i \(0.271189\pi\)
\(114\) 0 0
\(115\) 4.00000 0.373002
\(116\) 4.69846 + 1.71010i 0.436241 + 0.158779i
\(117\) 0.347296 + 1.96962i 0.0321076 + 0.182091i
\(118\) 11.4907 + 9.64181i 1.05780 + 0.887601i
\(119\) 6.89440 5.78509i 0.632009 0.530318i
\(120\) 0.694593 3.93923i 0.0634073 0.359601i
\(121\) 3.50000 6.06218i 0.318182 0.551107i
\(122\) −1.00000 1.73205i −0.0905357 0.156813i
\(123\) −7.51754 + 2.73616i −0.677834 + 0.246711i
\(124\) 7.51754 2.73616i 0.675095 0.245715i
\(125\) 12.0000 + 20.7846i 1.07331 + 1.85903i
\(126\) 3.00000 5.19615i 0.267261 0.462910i
\(127\) 3.12567 17.7265i 0.277358 1.57298i −0.454012 0.890995i \(-0.650008\pi\)
0.731370 0.681981i \(-0.238881\pi\)
\(128\) 0.766044 0.642788i 0.0677094 0.0568149i
\(129\) −3.06418 2.57115i −0.269786 0.226377i
\(130\) 0.694593 + 3.93923i 0.0609198 + 0.345493i
\(131\) −11.2763 4.10424i −0.985216 0.358589i −0.201350 0.979519i \(-0.564533\pi\)
−0.783866 + 0.620930i \(0.786755\pi\)
\(132\) −2.00000 −0.174078
\(133\) 0 0
\(134\) 3.00000 0.259161
\(135\) 18.7939 + 6.84040i 1.61752 + 0.588728i
\(136\) 0.520945 + 2.95442i 0.0446706 + 0.253340i
\(137\) −13.0228 10.9274i −1.11261 0.933590i −0.114401 0.993435i \(-0.536495\pi\)
−0.998208 + 0.0598447i \(0.980939\pi\)
\(138\) 0.766044 0.642788i 0.0652100 0.0547177i
\(139\) 0 0 −0.984808 0.173648i \(-0.944444\pi\)
0.984808 + 0.173648i \(0.0555556\pi\)
\(140\) 6.00000 10.3923i 0.507093 0.878310i
\(141\) 4.00000 + 6.92820i 0.336861 + 0.583460i
\(142\) −1.87939 + 0.684040i −0.157715 + 0.0574034i
\(143\) 1.87939 0.684040i 0.157162 0.0572023i
\(144\) 1.00000 + 1.73205i 0.0833333 + 0.144338i
\(145\) −10.0000 + 17.3205i −0.830455 + 1.43839i
\(146\) 1.56283 8.86327i 0.129341 0.733529i
\(147\) −1.53209 + 1.28558i −0.126365 + 0.106032i
\(148\) −1.53209 1.28558i −0.125937 0.105674i
\(149\) 0 0 0.984808 0.173648i \(-0.0555556\pi\)
−0.984808 + 0.173648i \(0.944444\pi\)
\(150\) 10.3366 + 3.76222i 0.843981 + 0.307184i
\(151\) 2.00000 0.162758 0.0813788 0.996683i \(-0.474068\pi\)
0.0813788 + 0.996683i \(0.474068\pi\)
\(152\) 0 0
\(153\) −6.00000 −0.485071
\(154\) −5.63816 2.05212i −0.454336 0.165365i
\(155\) 5.55674 + 31.5138i 0.446328 + 2.53125i
\(156\) 0.766044 + 0.642788i 0.0613326 + 0.0514642i
\(157\) −1.53209 + 1.28558i −0.122274 + 0.102600i −0.701874 0.712301i \(-0.747653\pi\)
0.579600 + 0.814901i \(0.303209\pi\)
\(158\) −1.73648 + 9.84808i −0.138147 + 0.783471i
\(159\) −0.500000 + 0.866025i −0.0396526 + 0.0686803i
\(160\) 2.00000 + 3.46410i 0.158114 + 0.273861i
\(161\) 2.81908 1.02606i 0.222174 0.0808649i
\(162\) −0.939693 + 0.342020i −0.0738292 + 0.0268716i
\(163\) 8.00000 + 13.8564i 0.626608 + 1.08532i 0.988227 + 0.152992i \(0.0488907\pi\)
−0.361619 + 0.932326i \(0.617776\pi\)
\(164\) 4.00000 6.92820i 0.312348 0.541002i
\(165\) 1.38919 7.87846i 0.108148 0.613337i
\(166\) −4.59627 + 3.85673i −0.356739 + 0.299340i
\(167\) −9.19253 7.71345i −0.711340 0.596885i 0.213635 0.976914i \(-0.431470\pi\)
−0.924975 + 0.380029i \(0.875914\pi\)
\(168\) −0.520945 2.95442i −0.0401917 0.227939i
\(169\) 11.2763 + 4.10424i 0.867409 + 0.315711i
\(170\) −12.0000 −0.920358
\(171\) 0 0
\(172\) 4.00000 0.304997
\(173\) 5.63816 + 2.05212i 0.428661 + 0.156020i 0.547335 0.836913i \(-0.315642\pi\)
−0.118674 + 0.992933i \(0.537864\pi\)
\(174\) 0.868241 + 4.92404i 0.0658212 + 0.373290i
\(175\) 25.2795 + 21.2120i 1.91095 + 1.60348i
\(176\) 1.53209 1.28558i 0.115486 0.0969039i
\(177\) −2.60472 + 14.7721i −0.195783 + 1.11034i
\(178\) 0 0
\(179\) 0 0 0.866025 0.500000i \(-0.166667\pi\)
−0.866025 + 0.500000i \(0.833333\pi\)
\(180\) −7.51754 + 2.73616i −0.560324 + 0.203941i
\(181\) −20.6732 + 7.52444i −1.53663 + 0.559287i −0.965234 0.261387i \(-0.915820\pi\)
−0.571396 + 0.820675i \(0.693598\pi\)
\(182\) 1.50000 + 2.59808i 0.111187 + 0.192582i
\(183\) 1.00000 1.73205i 0.0739221 0.128037i
\(184\) −0.173648 + 0.984808i −0.0128015 + 0.0726010i
\(185\) 6.12836 5.14230i 0.450566 0.378069i
\(186\) 6.12836 + 5.14230i 0.449353 + 0.377052i
\(187\) 1.04189 + 5.90885i 0.0761905 + 0.432098i
\(188\) −7.51754 2.73616i −0.548273 0.199555i
\(189\) 15.0000 1.09109
\(190\) 0 0
\(191\) 7.00000 0.506502 0.253251 0.967401i \(-0.418500\pi\)
0.253251 + 0.967401i \(0.418500\pi\)
\(192\) 0.939693 + 0.342020i 0.0678165 + 0.0246832i
\(193\) −1.04189 5.90885i −0.0749968 0.425328i −0.999070 0.0431130i \(-0.986272\pi\)
0.924073 0.382215i \(-0.124839\pi\)
\(194\) −1.53209 1.28558i −0.109998 0.0922989i
\(195\) −3.06418 + 2.57115i −0.219430 + 0.184124i
\(196\) 0.347296 1.96962i 0.0248069 0.140687i
\(197\) −4.00000 + 6.92820i −0.284988 + 0.493614i −0.972606 0.232458i \(-0.925323\pi\)
0.687618 + 0.726073i \(0.258656\pi\)
\(198\) 2.00000 + 3.46410i 0.142134 + 0.246183i
\(199\) 23.4923 8.55050i 1.66533 0.606129i 0.674140 0.738604i \(-0.264515\pi\)
0.991186 + 0.132475i \(0.0422923\pi\)
\(200\) −10.3366 + 3.76222i −0.730909 + 0.266029i
\(201\) 1.50000 + 2.59808i 0.105802 + 0.183254i
\(202\) −1.00000 + 1.73205i −0.0703598 + 0.121867i
\(203\) −2.60472 + 14.7721i −0.182816 + 1.03680i
\(204\) −2.29813 + 1.92836i −0.160902 + 0.135012i
\(205\) 24.5134 + 20.5692i 1.71209 + 1.43662i
\(206\) −1.04189 5.90885i −0.0725919 0.411689i
\(207\) −1.87939 0.684040i −0.130626 0.0475441i
\(208\) −1.00000 −0.0693375
\(209\) 0 0
\(210\) 12.0000 0.828079
\(211\) −25.3717 9.23454i −1.74666 0.635732i −0.747081 0.664734i \(-0.768545\pi\)
−0.999579 + 0.0290013i \(0.990767\pi\)
\(212\) −0.173648 0.984808i −0.0119262 0.0676369i
\(213\) −1.53209 1.28558i −0.104977 0.0880862i
\(214\) −5.36231 + 4.49951i −0.366560 + 0.307580i
\(215\) −2.77837 + 15.7569i −0.189483 + 1.07461i
\(216\) −2.50000 + 4.33013i −0.170103 + 0.294628i
\(217\) 12.0000 + 20.7846i 0.814613 + 1.41095i
\(218\) 14.0954 5.13030i 0.954660 0.347468i
\(219\) 8.45723 3.07818i 0.571487 0.208004i
\(220\) 4.00000 + 6.92820i 0.269680 + 0.467099i
\(221\) 1.50000 2.59808i 0.100901 0.174766i
\(222\) 0.347296 1.96962i 0.0233090 0.132192i
\(223\) 10.7246 8.99903i 0.718174 0.602619i −0.208706 0.977979i \(-0.566925\pi\)
0.926879 + 0.375359i \(0.122481\pi\)
\(224\) 2.29813 + 1.92836i 0.153550 + 0.128844i
\(225\) −3.82026 21.6658i −0.254684 1.44438i
\(226\) −13.1557 4.78828i −0.875104 0.318512i
\(227\) −17.0000 −1.12833 −0.564165 0.825662i \(-0.690802\pi\)
−0.564165 + 0.825662i \(0.690802\pi\)
\(228\) 0 0
\(229\) −10.0000 −0.660819 −0.330409 0.943838i \(-0.607187\pi\)
−0.330409 + 0.943838i \(0.607187\pi\)
\(230\) −3.75877 1.36808i −0.247846 0.0902086i
\(231\) −1.04189 5.90885i −0.0685513 0.388774i
\(232\) −3.83022 3.21394i −0.251466 0.211005i
\(233\) −4.59627 + 3.85673i −0.301111 + 0.252662i −0.780807 0.624773i \(-0.785192\pi\)
0.479695 + 0.877435i \(0.340747\pi\)
\(234\) 0.347296 1.96962i 0.0227035 0.128758i
\(235\) 16.0000 27.7128i 1.04372 1.80778i
\(236\) −7.50000 12.9904i −0.488208 0.845602i
\(237\) −9.39693 + 3.42020i −0.610396 + 0.222166i
\(238\) −8.45723 + 3.07818i −0.548201 + 0.199529i
\(239\) −7.50000 12.9904i −0.485135 0.840278i 0.514719 0.857359i \(-0.327896\pi\)
−0.999854 + 0.0170808i \(0.994563\pi\)
\(240\) −2.00000 + 3.46410i −0.129099 + 0.223607i
\(241\) −1.38919 + 7.87846i −0.0894853 + 0.507496i 0.906813 + 0.421533i \(0.138508\pi\)
−0.996298 + 0.0859632i \(0.972603\pi\)
\(242\) −5.36231 + 4.49951i −0.344702 + 0.289240i
\(243\) −12.2567 10.2846i −0.786268 0.659758i
\(244\) 0.347296 + 1.96962i 0.0222334 + 0.126092i
\(245\) 7.51754 + 2.73616i 0.480278 + 0.174807i
\(246\) 8.00000 0.510061
\(247\) 0 0
\(248\) −8.00000 −0.508001
\(249\) −5.63816 2.05212i −0.357304 0.130048i
\(250\) −4.16756 23.6354i −0.263579 1.49483i
\(251\) 1.53209 + 1.28558i 0.0967046 + 0.0811448i 0.689858 0.723945i \(-0.257673\pi\)
−0.593154 + 0.805089i \(0.702117\pi\)
\(252\) −4.59627 + 3.85673i −0.289538 + 0.242951i
\(253\) −0.347296 + 1.96962i −0.0218343 + 0.123829i
\(254\) −9.00000 + 15.5885i −0.564710 + 0.978107i
\(255\) −6.00000 10.3923i −0.375735 0.650791i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) −7.51754 + 2.73616i −0.468931 + 0.170677i −0.565668 0.824633i \(-0.691382\pi\)
0.0967369 + 0.995310i \(0.469159\pi\)
\(258\) 2.00000 + 3.46410i 0.124515 + 0.215666i
\(259\) 3.00000 5.19615i 0.186411 0.322873i
\(260\) 0.694593 3.93923i 0.0430768 0.244301i
\(261\) 7.66044 6.42788i 0.474170 0.397876i
\(262\) 9.19253 + 7.71345i 0.567917 + 0.476539i
\(263\) 4.16756 + 23.6354i 0.256983 + 1.45742i 0.790932 + 0.611904i \(0.209596\pi\)
−0.533950 + 0.845516i \(0.679293\pi\)
\(264\) 1.87939 + 0.684040i 0.115668 + 0.0420998i
\(265\) 4.00000 0.245718
\(266\) 0 0
\(267\) 0 0
\(268\) −2.81908 1.02606i −0.172203 0.0626766i
\(269\) 5.20945 + 29.5442i 0.317625 + 1.80134i 0.557105 + 0.830442i \(0.311912\pi\)
−0.239479 + 0.970901i \(0.576977\pi\)
\(270\) −15.3209 12.8558i −0.932400 0.782376i
\(271\) 5.36231 4.49951i 0.325737 0.273326i −0.465223 0.885193i \(-0.654026\pi\)
0.790960 + 0.611868i \(0.209581\pi\)
\(272\) 0.520945 2.95442i 0.0315869 0.179138i
\(273\) −1.50000 + 2.59808i −0.0907841 + 0.157243i
\(274\) 8.50000 + 14.7224i 0.513504 + 0.889415i
\(275\) −20.6732 + 7.52444i −1.24664 + 0.453741i
\(276\) −0.939693 + 0.342020i −0.0565628 + 0.0205872i
\(277\) −14.0000 24.2487i −0.841178 1.45696i −0.888899 0.458103i \(-0.848529\pi\)
0.0477206 0.998861i \(-0.484804\pi\)
\(278\) 0 0
\(279\) 2.77837 15.7569i 0.166337 0.943342i
\(280\) −9.19253 + 7.71345i −0.549359 + 0.460967i
\(281\) −6.12836 5.14230i −0.365587 0.306764i 0.441426 0.897298i \(-0.354473\pi\)
−0.807013 + 0.590534i \(0.798917\pi\)
\(282\) −1.38919 7.87846i −0.0827248 0.469156i
\(283\) 5.63816 + 2.05212i 0.335154 + 0.121986i 0.504115 0.863637i \(-0.331819\pi\)
−0.168961 + 0.985623i \(0.554041\pi\)
\(284\) 2.00000 0.118678
\(285\) 0 0
\(286\) −2.00000 −0.118262
\(287\) 22.5526 + 8.20848i 1.33124 + 0.484531i
\(288\) −0.347296 1.96962i −0.0204646 0.116061i
\(289\) −6.12836 5.14230i −0.360492 0.302488i
\(290\) 15.3209 12.8558i 0.899674 0.754916i
\(291\) 0.347296 1.96962i 0.0203589 0.115461i
\(292\) −4.50000 + 7.79423i −0.263343 + 0.456123i
\(293\) −4.50000 7.79423i −0.262893 0.455344i 0.704117 0.710084i \(-0.251343\pi\)
−0.967009 + 0.254741i \(0.918010\pi\)
\(294\) 1.87939 0.684040i 0.109608 0.0398940i
\(295\) 56.3816 20.5212i 3.28266 1.19479i
\(296\) 1.00000 + 1.73205i 0.0581238 + 0.100673i
\(297\) −5.00000 + 8.66025i −0.290129 + 0.502519i
\(298\) 0 0
\(299\) 0.766044 0.642788i 0.0443015 0.0371734i
\(300\) −8.42649 7.07066i −0.486504 0.408225i
\(301\) 2.08378 + 11.8177i 0.120107 + 0.681161i
\(302\) −1.87939 0.684040i −0.108146 0.0393621i
\(303\) −2.00000 −0.114897
\(304\) 0 0
\(305\) −8.00000 −0.458079
\(306\) 5.63816 + 2.05212i 0.322312 + 0.117312i
\(307\) −2.08378 11.8177i −0.118927 0.674471i −0.984730 0.174086i \(-0.944303\pi\)
0.865803 0.500385i \(-0.166808\pi\)
\(308\) 4.59627 + 3.85673i 0.261897 + 0.219757i
\(309\) 4.59627 3.85673i 0.261472 0.219401i
\(310\) 5.55674 31.5138i 0.315602 1.78987i
\(311\) −3.50000 + 6.06218i −0.198467 + 0.343755i −0.948031 0.318177i \(-0.896930\pi\)
0.749565 + 0.661931i \(0.230263\pi\)
\(312\) −0.500000 0.866025i −0.0283069 0.0490290i
\(313\) −27.2511 + 9.91858i −1.54032 + 0.560632i −0.966123 0.258084i \(-0.916909\pi\)
−0.574200 + 0.818715i \(0.694687\pi\)
\(314\) 1.87939 0.684040i 0.106060 0.0386026i
\(315\) −12.0000 20.7846i −0.676123 1.17108i
\(316\) 5.00000 8.66025i 0.281272 0.487177i
\(317\) −4.68850 + 26.5898i −0.263332 + 1.49343i 0.510409 + 0.859932i \(0.329494\pi\)
−0.773742 + 0.633501i \(0.781617\pi\)
\(318\) 0.766044 0.642788i 0.0429576 0.0360457i
\(319\) −7.66044 6.42788i −0.428903 0.359892i
\(320\) −0.694593 3.93923i −0.0388289 0.220210i
\(321\) −6.57785 2.39414i −0.367140 0.133628i
\(322\) −3.00000 −0.167183
\(323\) 0 0
\(324\) 1.00000 0.0555556
\(325\) 10.3366 + 3.76222i 0.573372 + 0.208691i
\(326\) −2.77837 15.7569i −0.153880 0.872695i
\(327\) 11.4907 + 9.64181i 0.635435 + 0.533194i
\(328\) −6.12836 + 5.14230i −0.338382 + 0.283936i
\(329\) 4.16756 23.6354i 0.229765 1.30306i
\(330\) −4.00000 + 6.92820i −0.220193 + 0.381385i
\(331\) −8.50000 14.7224i −0.467202 0.809218i 0.532096 0.846684i \(-0.321405\pi\)
−0.999298 + 0.0374662i \(0.988071\pi\)
\(332\) 5.63816 2.05212i 0.309434 0.112625i
\(333\) −3.75877 + 1.36808i −0.205979 + 0.0749704i
\(334\) 6.00000 + 10.3923i 0.328305 + 0.568642i
\(335\) 6.00000 10.3923i 0.327815 0.567792i
\(336\) −0.520945 + 2.95442i −0.0284199 + 0.161177i
\(337\) −24.5134 + 20.5692i −1.33533 + 1.12048i −0.352532 + 0.935800i \(0.614679\pi\)
−0.982799 + 0.184676i \(0.940876\pi\)
\(338\) −9.19253 7.71345i −0.500008 0.419556i
\(339\) −2.43107 13.7873i −0.132038 0.748824i
\(340\) 11.2763 + 4.10424i 0.611544 + 0.222584i
\(341\) −16.0000 −0.866449
\(342\) 0 0
\(343\) −15.0000 −0.809924
\(344\) −3.75877 1.36808i −0.202659 0.0737620i
\(345\) −0.694593 3.93923i −0.0373956 0.212081i
\(346\) −4.59627 3.85673i −0.247097 0.207339i
\(347\) −1.53209 + 1.28558i −0.0822468 + 0.0690133i −0.682984 0.730433i \(-0.739318\pi\)
0.600737 + 0.799446i \(0.294874\pi\)
\(348\) 0.868241 4.92404i 0.0465426 0.263956i
\(349\) −5.00000 + 8.66025i −0.267644 + 0.463573i −0.968253 0.249973i \(-0.919578\pi\)
0.700609 + 0.713545i \(0.252912\pi\)
\(350\) −16.5000 28.5788i −0.881962 1.52760i
\(351\) 4.69846 1.71010i 0.250785 0.0912784i
\(352\) −1.87939 + 0.684040i −0.100172 + 0.0364595i
\(353\) −4.50000 7.79423i −0.239511 0.414845i 0.721063 0.692869i \(-0.243654\pi\)
−0.960574 + 0.278024i \(0.910320\pi\)
\(354\) 7.50000 12.9904i 0.398621 0.690431i
\(355\) −1.38919 + 7.87846i −0.0737303 + 0.418145i
\(356\) 0 0
\(357\) −6.89440 5.78509i −0.364890 0.306179i
\(358\) 0 0
\(359\) 14.0954 + 5.13030i 0.743926 + 0.270767i 0.686048 0.727557i \(-0.259344\pi\)
0.0578786 + 0.998324i \(0.481566\pi\)
\(360\) 8.00000 0.421637
\(361\) 0 0
\(362\) 22.0000 1.15629
\(363\) −6.57785 2.39414i −0.345248 0.125660i
\(364\) −0.520945 2.95442i −0.0273049 0.154854i
\(365\) −27.5776 23.1404i −1.44348 1.21122i
\(366\) −1.53209 + 1.28558i −0.0800836 + 0.0671981i
\(367\) 4.86215 27.5746i 0.253802 1.43938i −0.545327 0.838224i \(-0.683594\pi\)
0.799129 0.601160i \(-0.205294\pi\)
\(368\) 0.500000 0.866025i 0.0260643 0.0451447i
\(369\) −8.00000 13.8564i −0.416463 0.721336i
\(370\) −7.51754 + 2.73616i −0.390818 + 0.142246i
\(371\) 2.81908 1.02606i 0.146359 0.0532704i
\(372\) −4.00000 6.92820i −0.207390 0.359211i
\(373\) −14.5000 + 25.1147i −0.750782 + 1.30039i 0.196663 + 0.980471i \(0.436990\pi\)
−0.947444 + 0.319921i \(0.896344\pi\)
\(374\) 1.04189 5.90885i 0.0538748 0.305539i
\(375\) 18.3851 15.4269i 0.949401 0.796642i
\(376\) 6.12836 + 5.14230i 0.316046 + 0.265194i
\(377\) 0.868241 + 4.92404i 0.0447167 + 0.253601i
\(378\) −14.0954 5.13030i −0.724989 0.263874i
\(379\) 15.0000 0.770498 0.385249 0.922813i \(-0.374116\pi\)
0.385249 + 0.922813i \(0.374116\pi\)
\(380\) 0 0
\(381\) −18.0000 −0.922168
\(382\) −6.57785 2.39414i −0.336552 0.122495i
\(383\) −4.51485 25.6050i −0.230698 1.30835i −0.851487 0.524376i \(-0.824299\pi\)
0.620788 0.783978i \(-0.286813\pi\)
\(384\) −0.766044 0.642788i −0.0390920 0.0328021i
\(385\) −18.3851 + 15.4269i −0.936990 + 0.786228i
\(386\) −1.04189 + 5.90885i −0.0530308 + 0.300752i
\(387\) 4.00000 6.92820i 0.203331 0.352180i
\(388\) 1.00000 + 1.73205i 0.0507673 + 0.0879316i
\(389\) 28.1908 10.2606i 1.42933 0.520233i 0.492590 0.870261i \(-0.336050\pi\)
0.936739 + 0.350028i \(0.113828\pi\)
\(390\) 3.75877 1.36808i 0.190333 0.0692755i
\(391\) 1.50000 + 2.59808i 0.0758583 + 0.131390i
\(392\) −1.00000 + 1.73205i −0.0505076 + 0.0874818i
\(393\) −2.08378 + 11.8177i −0.105113 + 0.596124i
\(394\) 6.12836 5.14230i 0.308742 0.259065i
\(395\) 30.6418 + 25.7115i 1.54176 + 1.29369i
\(396\) −0.694593 3.93923i −0.0349046 0.197954i
\(397\) −7.51754 2.73616i −0.377295 0.137324i 0.146410 0.989224i \(-0.453228\pi\)
−0.523704 + 0.851900i \(0.675450\pi\)
\(398\) −25.0000 −1.25314
\(399\) 0 0
\(400\) 11.0000 0.550000
\(401\) 7.51754 + 2.73616i 0.375408 + 0.136637i 0.522831 0.852436i \(-0.324876\pi\)
−0.147423 + 0.989073i \(0.547098\pi\)
\(402\) −0.520945 2.95442i −0.0259824 0.147353i
\(403\) 6.12836 + 5.14230i 0.305275 + 0.256156i
\(404\) 1.53209 1.28558i 0.0762243 0.0639598i
\(405\) −0.694593 + 3.93923i −0.0345146 + 0.195742i
\(406\) 7.50000 12.9904i 0.372219 0.644702i
\(407\) 2.00000 + 3.46410i 0.0991363 + 0.171709i
\(408\) 2.81908 1.02606i 0.139565 0.0507976i
\(409\) 18.7939 6.84040i 0.929296 0.338236i 0.167366 0.985895i \(-0.446474\pi\)
0.761931 + 0.647659i \(0.224252\pi\)
\(410\) −16.0000 27.7128i −0.790184 1.36864i
\(411\) −8.50000 + 14.7224i −0.419274 + 0.726204i
\(412\) −1.04189 + 5.90885i −0.0513302 + 0.291108i
\(413\) 34.4720 28.9254i 1.69626 1.42333i
\(414\) 1.53209 + 1.28558i 0.0752981 + 0.0631826i
\(415\) 4.16756 + 23.6354i 0.204577 + 1.16022i
\(416\) 0.939693 + 0.342020i 0.0460722 + 0.0167689i
\(417\) 0 0
\(418\) 0 0
\(419\) 0 0 1.00000i \(-0.5\pi\)
1.00000i \(0.5\pi\)
\(420\) −11.2763 4.10424i −0.550228 0.200266i
\(421\) −2.25743 12.8025i −0.110020 0.623956i −0.989096 0.147273i \(-0.952950\pi\)
0.879076 0.476682i \(-0.158161\pi\)
\(422\) 20.6832 + 17.3553i 1.00684 + 0.844841i
\(423\) −12.2567 + 10.2846i −0.595942 + 0.500054i
\(424\) −0.173648 + 0.984808i −0.00843310 + 0.0478265i
\(425\) −16.5000 + 28.5788i −0.800368 + 1.38628i
\(426\) 1.00000 + 1.73205i 0.0484502 + 0.0839181i
\(427\) −5.63816 + 2.05212i −0.272849 + 0.0993091i
\(428\) 6.57785 2.39414i 0.317952 0.115725i
\(429\) −1.00000 1.73205i −0.0482805 0.0836242i
\(430\) 8.00000 13.8564i 0.385794 0.668215i
\(431\) −3.12567 + 17.7265i −0.150558 + 0.853857i 0.812177 + 0.583411i \(0.198282\pi\)
−0.962735 + 0.270446i \(0.912829\pi\)
\(432\) 3.83022 3.21394i 0.184282 0.154631i
\(433\) 10.7246 + 8.99903i 0.515392 + 0.432466i 0.863022 0.505166i \(-0.168569\pi\)
−0.347630 + 0.937632i \(0.613013\pi\)
\(434\) −4.16756 23.6354i −0.200049 1.13453i
\(435\) 18.7939 + 6.84040i 0.901096 + 0.327972i
\(436\) −15.0000 −0.718370
\(437\) 0 0
\(438\) −9.00000 −0.430037
\(439\) −18.7939 6.84040i −0.896982 0.326475i −0.147939 0.988996i \(-0.547264\pi\)
−0.749043 + 0.662522i \(0.769486\pi\)
\(440\) −1.38919 7.87846i −0.0662268 0.375591i
\(441\) −3.06418 2.57115i −0.145913 0.122436i
\(442\) −2.29813 + 1.92836i −0.109311 + 0.0917229i
\(443\) −4.51485 + 25.6050i −0.214507 + 1.21653i 0.667253 + 0.744832i \(0.267470\pi\)
−0.881760 + 0.471699i \(0.843641\pi\)
\(444\) −1.00000 + 1.73205i −0.0474579 + 0.0821995i
\(445\) 0 0
\(446\) −13.1557 + 4.78828i −0.622940 + 0.226732i
\(447\) 0 0
\(448\) −1.50000 2.59808i −0.0708683 0.122748i
\(449\) −5.00000 + 8.66025i −0.235965 + 0.408703i −0.959553 0.281529i \(-0.909158\pi\)
0.723588 + 0.690232i \(0.242492\pi\)
\(450\) −3.82026 + 21.6658i −0.180089 + 1.02133i
\(451\) −12.2567 + 10.2846i −0.577146 + 0.484283i
\(452\) 10.7246 + 8.99903i 0.504444 + 0.423279i
\(453\) −0.347296 1.96962i −0.0163174 0.0925406i
\(454\) 15.9748 + 5.81434i 0.749733 + 0.272881i
\(455\) 12.0000 0.562569
\(456\) 0 0
\(457\) −7.00000 −0.327446 −0.163723 0.986506i \(-0.552350\pi\)
−0.163723 + 0.986506i \(0.552350\pi\)
\(458\) 9.39693 + 3.42020i 0.439090 + 0.159816i
\(459\) 2.60472 + 14.7721i 0.121578 + 0.689503i
\(460\) 3.06418 + 2.57115i 0.142868 + 0.119881i
\(461\) −21.4492 + 17.9981i −0.998991 + 0.838253i −0.986844 0.161673i \(-0.948311\pi\)
−0.0121466 + 0.999926i \(0.503866\pi\)
\(462\) −1.04189 + 5.90885i −0.0484731 + 0.274904i
\(463\) −2.00000 + 3.46410i −0.0929479 + 0.160990i −0.908750 0.417340i \(-0.862962\pi\)
0.815802 + 0.578331i \(0.196296\pi\)
\(464\) 2.50000 + 4.33013i 0.116060 + 0.201021i
\(465\) 30.0702 10.9446i 1.39447 0.507546i
\(466\) 5.63816 2.05212i 0.261183 0.0950627i
\(467\) 1.00000 + 1.73205i 0.0462745 + 0.0801498i 0.888235 0.459390i \(-0.151932\pi\)
−0.841960 + 0.539539i \(0.818598\pi\)
\(468\) −1.00000 + 1.73205i −0.0462250 + 0.0800641i
\(469\) 1.56283 8.86327i 0.0721650 0.409268i
\(470\) −24.5134 + 20.5692i −1.13072 + 0.948787i
\(471\) 1.53209 + 1.28558i 0.0705949 + 0.0592362i
\(472\) 2.60472 + 14.7721i 0.119892 + 0.679942i
\(473\) −7.51754 2.73616i −0.345657 0.125809i
\(474\) 10.0000 0.459315
\(475\) 0 0
\(476\) 9.00000 0.412514
\(477\) −1.87939 0.684040i −0.0860511 0.0313201i
\(478\) 2.60472 + 14.7721i 0.119137 + 0.675661i
\(479\) −15.3209 12.8558i −0.700029 0.587394i 0.221753 0.975103i \(-0.428822\pi\)
−0.921782 + 0.387709i \(0.873267\pi\)
\(480\) 3.06418 2.57115i 0.139860 0.117356i
\(481\) 0.347296 1.96962i 0.0158354 0.0898067i
\(482\) 4.00000 6.92820i 0.182195 0.315571i
\(483\) −1.50000 2.59808i −0.0682524 0.118217i
\(484\) 6.57785 2.39414i 0.298993 0.108825i
\(485\) −7.51754 + 2.73616i −0.341354 + 0.124243i
\(486\) 8.00000 + 13.8564i 0.362887 + 0.628539i
\(487\) 1.00000 1.73205i 0.0453143 0.0784867i −0.842479 0.538730i \(-0.818904\pi\)
0.887793 + 0.460243i \(0.152238\pi\)
\(488\) 0.347296 1.96962i 0.0157214 0.0891603i
\(489\) 12.2567 10.2846i 0.554268 0.465086i
\(490\) −6.12836 5.14230i −0.276851 0.232305i
\(491\) −4.86215 27.5746i −0.219426 1.24443i −0.873059 0.487614i \(-0.837867\pi\)
0.653634 0.756811i \(-0.273244\pi\)
\(492\) −7.51754 2.73616i −0.338917 0.123356i
\(493\) −15.0000 −0.675566
\(494\) 0 0
\(495\) 16.0000 0.719147
\(496\) 7.51754 + 2.73616i 0.337548 + 0.122857i
\(497\) 1.04189 + 5.90885i 0.0467351 + 0.265048i
\(498\) 4.59627 + 3.85673i 0.205964 + 0.172824i
\(499\) 30.6418 25.7115i 1.37171 1.15101i 0.399548 0.916712i \(-0.369167\pi\)
0.972166 0.234293i \(-0.0752775\pi\)
\(500\) −4.16756 + 23.6354i −0.186379 + 1.05701i
\(501\) −6.00000 + 10.3923i −0.268060 + 0.464294i
\(502\) −1.00000 1.73205i −0.0446322 0.0773052i
\(503\) −36.6480 + 13.3388i −1.63405 + 0.594747i −0.985985 0.166834i \(-0.946645\pi\)
−0.648069 + 0.761581i \(0.724423\pi\)
\(504\) 5.63816 2.05212i 0.251143 0.0914087i
\(505\) 4.00000 + 6.92820i 0.177998 + 0.308301i
\(506\) 1.00000 1.73205i 0.0444554 0.0769991i
\(507\) 2.08378 11.8177i 0.0925438 0.524842i
\(508\) 13.7888 11.5702i 0.611779 0.513344i
\(509\) −22.9813 19.2836i −1.01863 0.854732i −0.0291750 0.999574i \(-0.509288\pi\)
−0.989455 + 0.144843i \(0.953732\pi\)
\(510\) 2.08378 + 11.8177i 0.0922712 + 0.523296i
\(511\) −25.3717 9.23454i −1.12238 0.408512i
\(512\) 1.00000 0.0441942
\(513\) 0 0
\(514\) 8.00000 0.352865
\(515\) −22.5526 8.20848i −0.993787 0.361709i
\(516\) −0.694593 3.93923i −0.0305777 0.173415i
\(517\) 12.2567 + 10.2846i 0.539050 + 0.452316i
\(518\) −4.59627 + 3.85673i −0.201948 + 0.169455i
\(519\) 1.04189 5.90885i 0.0457339 0.259370i
\(520\) −2.00000 + 3.46410i −0.0877058 + 0.151911i
\(521\) 14.0000 + 24.2487i 0.613351 + 1.06236i 0.990671 + 0.136272i \(0.0435123\pi\)
−0.377320 + 0.926083i \(0.623154\pi\)
\(522\) −9.39693 + 3.42020i −0.411292 + 0.149698i
\(523\) −27.2511 + 9.91858i −1.19161 + 0.433709i −0.860287 0.509809i \(-0.829716\pi\)
−0.331319 + 0.943519i \(0.607494\pi\)
\(524\) −6.00000 10.3923i −0.262111 0.453990i
\(525\) 16.5000 28.5788i 0.720119 1.24728i
\(526\) 4.16756 23.6354i 0.181714 1.03055i
\(527\) −18.3851 + 15.4269i −0.800866 + 0.672006i
\(528\) −1.53209 1.28558i −0.0666756 0.0559475i
\(529\) −3.82026 21.6658i −0.166098 0.941990i
\(530\) −3.75877 1.36808i −0.163271 0.0594256i
\(531\) −30.0000 −1.30189
\(532\) 0 0
\(533\) 8.00000 0.346518
\(534\) 0 0
\(535\) 4.86215 + 27.5746i 0.210209 + 1.19215i
\(536\) 2.29813 + 1.92836i 0.0992642 + 0.0832926i
\(537\) 0 0
\(538\) 5.20945 29.5442i 0.224595 1.27374i
\(539\) −2.00000 + 3.46410i −0.0861461 + 0.149209i
\(540\) 10.0000 + 17.3205i 0.430331 + 0.745356i
\(541\) −1.87939 + 0.684040i −0.0808011 + 0.0294092i −0.382104 0.924119i \(-0.624801\pi\)
0.301303 + 0.953528i \(0.402578\pi\)
\(542\) −6.57785 + 2.39414i −0.282543 + 0.102837i
\(543\) 11.0000 + 19.0526i 0.472055 + 0.817624i
\(544\) −1.50000 + 2.59808i −0.0643120 + 0.111392i
\(545\) 10.4189 59.0885i 0.446296 2.53107i
\(546\) 2.29813 1.92836i 0.0983510 0.0825263i
\(547\) 21.4492 + 17.9981i 0.917103 + 0.769541i 0.973457 0.228870i \(-0.0735030\pi\)
−0.0563536 + 0.998411i \(0.517947\pi\)
\(548\) −2.95202 16.7417i −0.126104 0.715171i
\(549\) 3.75877 + 1.36808i 0.160420 + 0.0583883i
\(550\) 22.0000 0.938083
\(551\) 0 0
\(552\) 1.00000 0.0425628
\(553\) 28.1908 + 10.2606i 1.19879 + 0.436325i
\(554\) 4.86215 + 27.5746i 0.206573 + 1.17153i
\(555\) −6.12836 5.14230i −0.260134 0.218279i
\(556\) 0 0
\(557\) 4.86215 27.5746i 0.206016 1.16837i −0.689817 0.723983i \(-0.742309\pi\)
0.895833 0.444391i \(-0.146580\pi\)
\(558\) −8.00000 + 13.8564i −0.338667 + 0.586588i
\(559\) 2.00000 + 3.46410i 0.0845910 + 0.146516i
\(560\) 11.2763 4.10424i 0.476511 0.173436i
\(561\) 5.63816 2.05212i 0.238043 0.0866406i
\(562\) 4.00000 + 6.92820i 0.168730 + 0.292249i
\(563\) 18.0000 31.1769i 0.758610 1.31395i −0.184950 0.982748i \(-0.559212\pi\)
0.943560 0.331202i \(-0.107454\pi\)
\(564\) −1.38919 + 7.87846i −0.0584953 + 0.331743i
\(565\) −42.8985 + 35.9961i −1.80475 + 1.51437i
\(566\) −4.59627 3.85673i −0.193195 0.162110i
\(567\) 0.520945 + 2.95442i 0.0218776 + 0.124074i
\(568\) −1.87939 0.684040i −0.0788573 0.0287017i
\(569\) 40.0000 1.67689 0.838444 0.544988i \(-0.183466\pi\)
0.838444 + 0.544988i \(0.183466\pi\)
\(570\) 0 0
\(571\) −28.0000 −1.17176 −0.585882 0.810397i \(-0.699252\pi\)
−0.585882 + 0.810397i \(0.699252\pi\)
\(572\) 1.87939 + 0.684040i 0.0785810 + 0.0286012i
\(573\) −1.21554 6.89365i −0.0507798 0.287987i
\(574\) −18.3851 15.4269i −0.767378 0.643906i
\(575\) −8.42649 + 7.07066i −0.351409 + 0.294867i
\(576\) −0.347296 + 1.96962i −0.0144707 + 0.0820673i
\(577\) 18.5000 32.0429i 0.770165 1.33397i −0.167307 0.985905i \(-0.553507\pi\)
0.937472 0.348060i \(-0.113160\pi\)
\(578\) 4.00000 + 6.92820i 0.166378 + 0.288175i
\(579\) −5.63816 + 2.05212i −0.234314 + 0.0852832i
\(580\) −18.7939 + 6.84040i −0.780372 + 0.284032i
\(581\) 9.00000 + 15.5885i 0.373383 + 0.646718i
\(582\) −1.00000 + 1.73205i −0.0414513 + 0.0717958i
\(583\) −0.347296 + 1.96962i −0.0143835 + 0.0815731i
\(584\) 6.89440 5.78509i 0.285292 0.239389i
\(585\) −6.12836 5.14230i −0.253376 0.212608i
\(586\) 1.56283 + 8.86327i 0.0645601 + 0.366138i
\(587\) 11.2763 + 4.10424i 0.465423 + 0.169400i 0.564078 0.825722i \(-0.309232\pi\)
−0.0986548 + 0.995122i \(0.531454\pi\)
\(588\) −2.00000 −0.0824786
\(589\) 0 0
\(590\) −60.0000 −2.47016
\(591\) 7.51754 + 2.73616i 0.309230 + 0.112551i
\(592\) −0.347296 1.96962i −0.0142738 0.0809507i
\(593\) 26.0455 + 21.8548i 1.06956 + 0.897468i 0.995013 0.0997492i \(-0.0318040\pi\)
0.0745483 + 0.997217i \(0.476248\pi\)
\(594\) 7.66044 6.42788i 0.314312 0.263739i
\(595\) −6.25133 + 35.4531i −0.256280 + 1.45343i
\(596\) 0 0
\(597\) −12.5000 21.6506i −0.511591 0.886102i
\(598\) −0.939693 + 0.342020i −0.0384269 + 0.0139862i
\(599\) 0 0 −0.342020 0.939693i \(-0.611111\pi\)
0.342020 + 0.939693i \(0.388889\pi\)
\(600\) 5.50000 + 9.52628i 0.224537 + 0.388909i
\(601\) 4.00000 6.92820i 0.163163 0.282607i −0.772838 0.634603i \(-0.781164\pi\)
0.936002 + 0.351996i \(0.114497\pi\)
\(602\) 2.08378 11.8177i 0.0849285 0.481653i
\(603\) −4.59627 + 3.85673i −0.187174 + 0.157058i
\(604\) 1.53209 + 1.28558i 0.0623398 + 0.0523093i
\(605\) 4.86215 + 27.5746i 0.197674 + 1.12107i
\(606\) 1.87939 + 0.684040i 0.0763448 + 0.0277872i
\(607\) −22.0000 −0.892952 −0.446476 0.894795i \(-0.647321\pi\)
−0.446476 + 0.894795i \(0.647321\pi\)
\(608\) 0 0
\(609\) 15.0000 0.607831
\(610\) 7.51754 + 2.73616i 0.304376 + 0.110784i
\(611\) −1.38919 7.87846i −0.0562004 0.318728i
\(612\) −4.59627 3.85673i −0.185793 0.155899i
\(613\) 26.0455 21.8548i 1.05197 0.882706i 0.0586691 0.998277i \(-0.481314\pi\)
0.993299 + 0.115571i \(0.0368699\pi\)
\(614\) −2.08378 + 11.8177i −0.0840944 + 0.476923i
\(615\) 16.0000 27.7128i 0.645182 1.11749i
\(616\) −3.00000 5.19615i −0.120873 0.209359i
\(617\) −16.9145 + 6.15636i −0.680951 + 0.247846i −0.659256 0.751919i \(-0.729129\pi\)
−0.0216951 + 0.999765i \(0.506906\pi\)
\(618\) −5.63816 + 2.05212i −0.226800 + 0.0825484i
\(619\) −5.00000 8.66025i −0.200967 0.348085i 0.747873 0.663842i \(-0.231075\pi\)
−0.948840 + 0.315757i \(0.897742\pi\)
\(620\) −16.0000 + 27.7128i −0.642575 + 1.11297i
\(621\) −0.868241 + 4.92404i −0.0348413 + 0.197595i
\(622\) 5.36231 4.49951i 0.215009 0.180414i
\(623\) 0 0
\(624\) 0.173648 + 0.984808i 0.00695149 + 0.0394239i
\(625\) −38.5274 14.0228i −1.54110 0.560913i
\(626\) 29.0000 1.15907
\(627\) 0 0
\(628\) −2.00000 −0.0798087
\(629\) 5.63816 + 2.05212i 0.224808 + 0.0818234i
\(630\) 4.16756 + 23.6354i 0.166039 + 0.941656i
\(631\) 24.5134 + 20.5692i 0.975864 + 0.818847i 0.983460 0.181124i \(-0.0579736\pi\)
−0.00759632 + 0.999971i \(0.502418\pi\)
\(632\) −7.66044 + 6.42788i −0.304716 + 0.255687i
\(633\) −4.68850 + 26.5898i −0.186351 + 1.05685i
\(634\) 13.5000 23.3827i 0.536153 0.928645i
\(635\) 36.0000 + 62.3538i 1.42862 + 2.47444i
\(636\) −0.939693 + 0.342020i −0.0372612 + 0.0135620i
\(637\) 1.87939 0.684040i 0.0744640 0.0271027i
\(638\) 5.00000 + 8.66025i 0.197952 + 0.342863i
\(639\) 2.00000 3.46410i 0.0791188 0.137038i
\(640\) −0.694593 + 3.93923i −0.0274562 + 0.155712i
\(641\) 32.1739 26.9971i 1.27079 1.06632i 0.276347 0.961058i \(-0.410876\pi\)
0.994444 0.105263i \(-0.0335683\pi\)
\(642\) 5.36231 + 4.49951i 0.211634 + 0.177582i
\(643\) −4.51485 25.6050i −0.178048 1.00976i −0.934566 0.355789i \(-0.884212\pi\)
0.756518 0.653973i \(-0.226899\pi\)
\(644\) 2.81908 + 1.02606i 0.111087 + 0.0404324i
\(645\) 16.0000 0.629999
\(646\) 0 0
\(647\) 23.0000 0.904223 0.452112 0.891961i \(-0.350671\pi\)
0.452112 + 0.891961i \(0.350671\pi\)
\(648\) −0.939693 0.342020i −0.0369146 0.0134358i
\(649\) 5.20945 + 29.5442i 0.204489 + 1.15971i
\(650\) −8.42649 7.07066i −0.330514 0.277334i
\(651\) 18.3851 15.4269i 0.720568 0.604628i
\(652\) −2.77837 + 15.7569i −0.108809 + 0.617089i
\(653\) 18.0000 31.1769i 0.704394 1.22005i −0.262515 0.964928i \(-0.584552\pi\)
0.966910 0.255119i \(-0.0821147\pi\)
\(654\) −7.50000 12.9904i −0.293273 0.507964i
\(655\) 45.1052 16.4170i 1.76241 0.641464i
\(656\) 7.51754 2.73616i 0.293511 0.106829i
\(657\) 9.00000 + 15.5885i 0.351123 + 0.608164i
\(658\) −12.0000 + 20.7846i −0.467809 + 0.810268i
\(659\) 0.868241 4.92404i 0.0338219 0.191813i −0.963216 0.268729i \(-0.913396\pi\)
0.997038 + 0.0769161i \(0.0245074\pi\)
\(660\) 6.12836 5.14230i 0.238546 0.200164i
\(661\) −17.6190 14.7841i −0.685301 0.575035i 0.232249 0.972656i \(-0.425391\pi\)
−0.917550 + 0.397621i \(0.869836\pi\)
\(662\) 2.95202 + 16.7417i 0.114733 + 0.650686i
\(663\) −2.81908 1.02606i −0.109484 0.0398489i
\(664\) −6.00000 −0.232845
\(665\) 0 0
\(666\) 4.00000 0.154997
\(667\) −4.69846 1.71010i −0.181925 0.0662154i
\(668\) −2.08378 11.8177i −0.0806238 0.457240i
\(669\) −10.7246 8.99903i −0.414638 0.347922i
\(670\) −9.19253 + 7.71345i −0.355139 + 0.297997i
\(671\) 0.694593 3.93923i 0.0268145 0.152072i
\(672\) 1.50000 2.59808i 0.0578638 0.100223i
\(673\) −22.0000 38.1051i −0.848038 1.46884i −0.882957 0.469454i \(-0.844451\pi\)
0.0349191 0.999390i \(-0.488883\pi\)
\(674\) 30.0702 10.9446i 1.15826 0.421572i
\(675\) −51.6831 + 18.8111i −1.98928 + 0.724040i
\(676\) 6.00000 + 10.3923i 0.230769 + 0.399704i
\(677\) −6.50000 + 11.2583i −0.249815 + 0.432693i −0.963474 0.267800i \(-0.913703\pi\)
0.713659 + 0.700493i \(0.247037\pi\)
\(678\) −2.43107 + 13.7873i −0.0933649 + 0.529498i
\(679\) −4.59627 + 3.85673i −0.176389 + 0.148008i
\(680\) −9.19253 7.71345i −0.352518 0.295797i
\(681\) 2.95202 + 16.7417i 0.113122 + 0.641545i
\(682\) 15.0351 + 5.47232i 0.575723 + 0.209546i
\(683\) 4.00000 0.153056 0.0765279 0.997067i \(-0.475617\pi\)
0.0765279 + 0.997067i \(0.475617\pi\)
\(684\) 0 0
\(685\) 68.0000 2.59815
\(686\) 14.0954 + 5.13030i 0.538164 + 0.195876i
\(687\) 1.73648 + 9.84808i 0.0662509 + 0.375728i
\(688\) 3.06418 + 2.57115i 0.116821 + 0.0980242i
\(689\) 0.766044 0.642788i 0.0291840 0.0244883i
\(690\) −0.694593 + 3.93923i −0.0264427 + 0.149964i
\(691\) −21.0000 + 36.3731i −0.798878 + 1.38370i 0.121470 + 0.992595i \(0.461239\pi\)
−0.920348 + 0.391102i \(0.872094\pi\)
\(692\) 3.00000 + 5.19615i 0.114043 + 0.197528i
\(693\) 11.2763 4.10424i 0.428352 0.155907i
\(694\) 1.87939 0.684040i 0.0713405 0.0259658i
\(695\) 0 0
\(696\) −2.50000 + 4.33013i −0.0947623 + 0.164133i
\(697\) −4.16756 + 23.6354i −0.157857 + 0.895254i
\(698\) 7.66044 6.42788i 0.289952 0.243299i
\(699\) 4.59627 + 3.85673i 0.173847 + 0.145875i
\(700\) 5.73039 + 32.4987i 0.216588 + 1.22833i
\(701\) 26.3114 + 9.57656i 0.993768 + 0.361702i 0.787178 0.616726i \(-0.211541\pi\)
0.206590 + 0.978428i \(0.433764\pi\)
\(702\) −5.00000 −0.188713
\(703\) 0 0
\(704\) 2.00000 0.0753778
\(705\) −30.0702 10.9446i −1.13251 0.412199i
\(706\) 1.56283 + 8.86327i 0.0588180 + 0.333574i
\(707\) 4.59627 + 3.85673i 0.172860 + 0.145047i
\(708\) −11.4907 + 9.64181i −0.431846 + 0.362362i
\(709\) −5.20945 + 29.5442i −0.195645 + 1.10956i 0.715853 + 0.698251i \(0.246038\pi\)
−0.911498 + 0.411306i \(0.865073\pi\)
\(710\) 4.00000 6.92820i 0.150117 0.260011i
\(711\) −10.0000 17.3205i −0.375029 0.649570i
\(712\) 0 0
\(713\) −7.51754 + 2.73616i −0.281534 + 0.102470i
\(714\) 4.50000 + 7.79423i 0.168408 + 0.291692i
\(715\) −4.00000 + 6.92820i −0.149592 + 0.259100i
\(716\) 0 0
\(717\) −11.4907 + 9.64181i −0.429127 + 0.360080i
\(718\) −11.4907 9.64181i −0.428828 0.359829i
\(719\) −0.868241 4.92404i −0.0323799 0.183636i 0.964328 0.264710i \(-0.0852761\pi\)
−0.996708 + 0.0810740i \(0.974165\pi\)
\(720\) −7.51754 2.73616i −0.280162 0.101971i
\(721\) −18.0000 −0.670355
\(722\) 0 0
\(723\) 8.00000 0.297523
\(724\) −20.6732 7.52444i −0.768315 0.279644i
\(725\) −9.55065 54.1644i −0.354702 2.01162i
\(726\) 5.36231 + 4.49951i 0.199014 + 0.166993i
\(727\) −13.0228 + 10.9274i −0.482987 + 0.405274i −0.851505 0.524346i \(-0.824310\pi\)
0.368518 + 0.929621i \(0.379865\pi\)
\(728\) −0.520945 + 2.95442i −0.0193075 + 0.109498i
\(729\) −6.50000 + 11.2583i −0.240741 + 0.416975i
\(730\) 18.0000 + 31.1769i 0.666210 + 1.15391i
\(731\) −11.2763 + 4.10424i −0.417069 + 0.151801i
\(732\) 1.87939 0.684040i 0.0694641 0.0252829i
\(733\) 18.0000 + 31.1769i 0.664845 + 1.15155i 0.979327 + 0.202282i \(0.0648358\pi\)
−0.314482 + 0.949263i \(0.601831\pi\)
\(734\) −14.0000 + 24.2487i −0.516749 + 0.895036i
\(735\) 1.38919 7.87846i 0.0512409 0.290601i
\(736\) −0.766044 + 0.642788i −0.0282368 + 0.0236935i
\(737\) 4.59627 + 3.85673i 0.169306 + 0.142064i
\(738\) 2.77837 + 15.7569i 0.102273 + 0.580020i
\(739\) 37.5877 + 13.6808i 1.38269 + 0.503257i 0.922991 0.384820i \(-0.125737\pi\)
0.459695 + 0.888077i \(0.347959\pi\)
\(740\) 8.00000 0.294086
\(741\) 0 0
\(742\) −3.00000 −0.110133
\(743\) 15.0351 + 5.47232i 0.551584 + 0.200760i 0.602750 0.797930i \(-0.294072\pi\)
−0.0511663 + 0.998690i \(0.516294\pi\)
\(744\) 1.38919 + 7.87846i 0.0509300 + 0.288838i
\(745\) 0 0
\(746\) 22.2153 18.6408i 0.813360 0.682490i
\(747\) 2.08378 11.8177i 0.0762415 0.432387i
\(748\) −3.00000 + 5.19615i −0.109691 + 0.189990i
\(749\) 10.5000 + 18.1865i 0.383662 + 0.664521i
\(750\) −22.5526 + 8.20848i −0.823505 + 0.299731i
\(751\) −30.0702 + 10.9446i −1.09728 + 0.399376i −0.826311 0.563214i \(-0.809565\pi\)
−0.270965 + 0.962589i \(0.587343\pi\)
\(752\) −4.00000 6.92820i −0.145865 0.252646i
\(753\) 1.00000 1.73205i 0.0364420 0.0631194i
\(754\) 0.868241 4.92404i 0.0316195 0.179323i
\(755\) −6.12836 + 5.14230i −0.223034 + 0.187147i
\(756\) 11.4907 + 9.64181i 0.417912 + 0.350669i
\(757\) −0.347296 1.96962i −0.0126227 0.0715869i 0.977846 0.209327i \(-0.0671273\pi\)
−0.990468 + 0.137740i \(0.956016\pi\)
\(758\) −14.0954 5.13030i −0.511968 0.186341i
\(759\) 2.00000 0.0725954
\(760\) 0 0
\(761\) 27.0000 0.978749 0.489375 0.872074i \(-0.337225\pi\)
0.489375 + 0.872074i \(0.337225\pi\)
\(762\) 16.9145 + 6.15636i 0.612746 + 0.223021i
\(763\) −7.81417 44.3163i −0.282892 1.60436i
\(764\) 5.36231 + 4.49951i 0.194002 + 0.162787i
\(765\) 18.3851 15.4269i 0.664713 0.557761i
\(766\) −4.51485 + 25.6050i −0.163128 + 0.925146i
\(767\) 7.50000 12.9904i 0.270809 0.469055i
\(768\) 0.500000 + 0.866025i 0.0180422 + 0.0312500i
\(769\) 32.8892 11.9707i 1.18602 0.431675i 0.327693 0.944784i \(-0.393729\pi\)
0.858323 + 0.513110i \(0.171507\pi\)
\(770\) 22.5526 8.20848i 0.812740 0.295813i
\(771\) 4.00000 + 6.92820i 0.144056 + 0.249513i
\(772\) 3.00000 5.19615i 0.107972 0.187014i
\(773\) 1.56283 8.86327i 0.0562112 0.318790i −0.943717 0.330753i \(-0.892697\pi\)
0.999928 + 0.0119638i \(0.00380827\pi\)
\(774\) −6.12836 + 5.14230i −0.220279 + 0.184836i
\(775\) −67.4119 56.5653i −2.42151 2.03189i
\(776\) −0.347296 1.96962i −0.0124672 0.0707051i
\(777\) −5.63816 2.05212i −0.202268 0.0736194i
\(778\) −30.0000 −1.07555
\(779\) 0 0
\(780\) −4.00000 −0.143223
\(781\) −3.75877