Properties

Label 722.2.e.d.389.1
Level 722
Weight 2
Character 722.389
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 389.1
Root \(-0.766044 + 0.642788i\) of defining polynomial
Character \(\chi\) \(=\) 722.389
Dual form 722.2.e.d.245.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.173648 - 0.984808i) q^{2} +(0.766044 - 0.642788i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(3.75877 + 1.36808i) q^{5} +(-0.766044 - 0.642788i) q^{6} +(-1.50000 + 2.59808i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.347296 + 1.96962i) q^{9} +O(q^{10})\) \(q+(-0.173648 - 0.984808i) q^{2} +(0.766044 - 0.642788i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(3.75877 + 1.36808i) q^{5} +(-0.766044 - 0.642788i) q^{6} +(-1.50000 + 2.59808i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.347296 + 1.96962i) q^{9} +(0.694593 - 3.93923i) q^{10} +(-1.00000 - 1.73205i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(0.766044 + 0.642788i) q^{13} +(2.81908 + 1.02606i) q^{14} +(3.75877 - 1.36808i) q^{15} +(0.766044 - 0.642788i) q^{16} +(0.520945 + 2.95442i) q^{17} +2.00000 q^{18} -4.00000 q^{20} +(0.520945 + 2.95442i) q^{21} +(-1.53209 + 1.28558i) q^{22} +(0.939693 - 0.342020i) q^{23} +(0.939693 + 0.342020i) q^{24} +(8.42649 + 7.07066i) q^{25} +(0.500000 - 0.866025i) q^{26} +(2.50000 + 4.33013i) q^{27} +(0.520945 - 2.95442i) q^{28} +(0.868241 - 4.92404i) q^{29} +(-2.00000 - 3.46410i) q^{30} +(-4.00000 + 6.92820i) q^{31} +(-0.766044 - 0.642788i) q^{32} +(-1.87939 - 0.684040i) q^{33} +(2.81908 - 1.02606i) q^{34} +(-9.19253 + 7.71345i) q^{35} +(-0.347296 - 1.96962i) q^{36} +2.00000 q^{37} +1.00000 q^{39} +(0.694593 + 3.93923i) q^{40} +(6.12836 - 5.14230i) q^{41} +(2.81908 - 1.02606i) q^{42} +(-3.75877 - 1.36808i) q^{43} +(1.53209 + 1.28558i) q^{44} +(-4.00000 + 6.92820i) q^{45} +(-0.500000 - 0.866025i) q^{46} +(1.38919 - 7.87846i) q^{47} +(0.173648 - 0.984808i) q^{48} +(-1.00000 - 1.73205i) q^{49} +(5.50000 - 9.52628i) q^{50} +(2.29813 + 1.92836i) q^{51} +(-0.939693 - 0.342020i) q^{52} +(-0.939693 + 0.342020i) q^{53} +(3.83022 - 3.21394i) q^{54} +(-1.38919 - 7.87846i) q^{55} -3.00000 q^{56} -5.00000 q^{58} +(-2.60472 - 14.7721i) q^{59} +(-3.06418 + 2.57115i) q^{60} +(-1.87939 + 0.684040i) q^{61} +(7.51754 + 2.73616i) q^{62} +(-4.59627 - 3.85673i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(2.00000 + 3.46410i) q^{65} +(-0.347296 + 1.96962i) q^{66} +(-0.520945 + 2.95442i) q^{67} +(-1.50000 - 2.59808i) q^{68} +(0.500000 - 0.866025i) q^{69} +(9.19253 + 7.71345i) q^{70} +(1.87939 + 0.684040i) q^{71} +(-1.87939 + 0.684040i) q^{72} +(6.89440 - 5.78509i) q^{73} +(-0.347296 - 1.96962i) q^{74} +11.0000 q^{75} +6.00000 q^{77} +(-0.173648 - 0.984808i) q^{78} +(7.66044 - 6.42788i) q^{79} +(3.75877 - 1.36808i) q^{80} +(-0.939693 - 0.342020i) q^{81} +(-6.12836 - 5.14230i) q^{82} +(3.00000 - 5.19615i) q^{83} +(-1.50000 - 2.59808i) q^{84} +(-2.08378 + 11.8177i) q^{85} +(-0.694593 + 3.93923i) q^{86} +(-2.50000 - 4.33013i) q^{87} +(1.00000 - 1.73205i) q^{88} +(7.51754 + 2.73616i) q^{90} +(-2.81908 + 1.02606i) q^{91} +(-0.766044 + 0.642788i) q^{92} +(1.38919 + 7.87846i) q^{93} -8.00000 q^{94} -1.00000 q^{96} +(0.347296 + 1.96962i) q^{97} +(-1.53209 + 1.28558i) q^{98} +(3.75877 - 1.36808i) 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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).

\(n\) \(363\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.173648 0.984808i −0.122788 0.696364i
\(3\) 0.766044 0.642788i 0.442276 0.371114i −0.394284 0.918989i \(-0.629007\pi\)
0.836560 + 0.547875i \(0.184563\pi\)
\(4\) −0.939693 + 0.342020i −0.469846 + 0.171010i
\(5\) 3.75877 + 1.36808i 1.68097 + 0.611824i 0.993443 0.114331i \(-0.0364725\pi\)
0.687531 + 0.726155i \(0.258695\pi\)
\(6\) −0.766044 0.642788i −0.312736 0.262417i
\(7\) −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
\(9\) −0.347296 + 1.96962i −0.115765 + 0.656539i
\(10\) 0.694593 3.93923i 0.219650 1.24569i
\(11\) −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
\(13\) 0.766044 + 0.642788i 0.212463 + 0.178277i 0.742808 0.669504i \(-0.233493\pi\)
−0.530346 + 0.847781i \(0.677938\pi\)
\(14\) 2.81908 + 1.02606i 0.753430 + 0.274226i
\(15\) 3.75877 1.36808i 0.970510 0.353237i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) 0.520945 + 2.95442i 0.126348 + 0.716553i 0.980498 + 0.196527i \(0.0629665\pi\)
−0.854151 + 0.520026i \(0.825922\pi\)
\(18\) 2.00000 0.471405
\(19\) 0 0
\(20\) −4.00000 −0.894427
\(21\) 0.520945 + 2.95442i 0.113679 + 0.644708i
\(22\) −1.53209 + 1.28558i −0.326642 + 0.274086i
\(23\) 0.939693 0.342020i 0.195939 0.0713161i −0.242187 0.970230i \(-0.577865\pi\)
0.438126 + 0.898914i \(0.355642\pi\)
\(24\) 0.939693 + 0.342020i 0.191814 + 0.0698146i
\(25\) 8.42649 + 7.07066i 1.68530 + 1.41413i
\(26\) 0.500000 0.866025i 0.0980581 0.169842i
\(27\) 2.50000 + 4.33013i 0.481125 + 0.833333i
\(28\) 0.520945 2.95442i 0.0984493 0.558334i
\(29\) 0.868241 4.92404i 0.161228 0.914371i −0.791640 0.610988i \(-0.790773\pi\)
0.952869 0.303384i \(-0.0981163\pi\)
\(30\) −2.00000 3.46410i −0.365148 0.632456i
\(31\) −4.00000 + 6.92820i −0.718421 + 1.24434i 0.243204 + 0.969975i \(0.421802\pi\)
−0.961625 + 0.274367i \(0.911532\pi\)
\(32\) −0.766044 0.642788i −0.135419 0.113630i
\(33\) −1.87939 0.684040i −0.327159 0.119076i
\(34\) 2.81908 1.02606i 0.483468 0.175968i
\(35\) −9.19253 + 7.71345i −1.55382 + 1.30381i
\(36\) −0.347296 1.96962i −0.0578827 0.328269i
\(37\) 2.00000 0.328798 0.164399 0.986394i \(-0.447432\pi\)
0.164399 + 0.986394i \(0.447432\pi\)
\(38\) 0 0
\(39\) 1.00000 0.160128
\(40\) 0.694593 + 3.93923i 0.109825 + 0.622847i
\(41\) 6.12836 5.14230i 0.957088 0.803092i −0.0233886 0.999726i \(-0.507446\pi\)
0.980477 + 0.196634i \(0.0630011\pi\)
\(42\) 2.81908 1.02606i 0.434993 0.158325i
\(43\) −3.75877 1.36808i −0.573207 0.208630i 0.0391204 0.999235i \(-0.487544\pi\)
−0.612328 + 0.790604i \(0.709767\pi\)
\(44\) 1.53209 + 1.28558i 0.230971 + 0.193808i
\(45\) −4.00000 + 6.92820i −0.596285 + 1.03280i
\(46\) −0.500000 0.866025i −0.0737210 0.127688i
\(47\) 1.38919 7.87846i 0.202634 1.14919i −0.698487 0.715623i \(-0.746143\pi\)
0.901120 0.433569i \(-0.142746\pi\)
\(48\) 0.173648 0.984808i 0.0250640 0.142145i
\(49\) −1.00000 1.73205i −0.142857 0.247436i
\(50\) 5.50000 9.52628i 0.777817 1.34722i
\(51\) 2.29813 + 1.92836i 0.321803 + 0.270025i
\(52\) −0.939693 0.342020i −0.130312 0.0474297i
\(53\) −0.939693 + 0.342020i −0.129077 + 0.0469801i −0.405751 0.913984i \(-0.632990\pi\)
0.276674 + 0.960964i \(0.410768\pi\)
\(54\) 3.83022 3.21394i 0.521227 0.437362i
\(55\) −1.38919 7.87846i −0.187318 1.06233i
\(56\) −3.00000 −0.400892
\(57\) 0 0
\(58\) −5.00000 −0.656532
\(59\) −2.60472 14.7721i −0.339106 1.92317i −0.382167 0.924093i \(-0.624822\pi\)
0.0430610 0.999072i \(-0.486289\pi\)
\(60\) −3.06418 + 2.57115i −0.395584 + 0.331934i
\(61\) −1.87939 + 0.684040i −0.240631 + 0.0875824i −0.459520 0.888167i \(-0.651979\pi\)
0.218890 + 0.975750i \(0.429756\pi\)
\(62\) 7.51754 + 2.73616i 0.954729 + 0.347493i
\(63\) −4.59627 3.85673i −0.579075 0.485902i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 2.00000 + 3.46410i 0.248069 + 0.429669i
\(66\) −0.347296 + 1.96962i −0.0427492 + 0.242443i
\(67\) −0.520945 + 2.95442i −0.0636435 + 0.360940i 0.936309 + 0.351178i \(0.114219\pi\)
−0.999952 + 0.00976258i \(0.996892\pi\)
\(68\) −1.50000 2.59808i −0.181902 0.315063i
\(69\) 0.500000 0.866025i 0.0601929 0.104257i
\(70\) 9.19253 + 7.71345i 1.09872 + 0.921934i
\(71\) 1.87939 + 0.684040i 0.223042 + 0.0811806i 0.451124 0.892461i \(-0.351023\pi\)
−0.228082 + 0.973642i \(0.573245\pi\)
\(72\) −1.87939 + 0.684040i −0.221488 + 0.0806149i
\(73\) 6.89440 5.78509i 0.806928 0.677093i −0.142944 0.989731i \(-0.545657\pi\)
0.949873 + 0.312637i \(0.101212\pi\)
\(74\) −0.347296 1.96962i −0.0403724 0.228963i
\(75\) 11.0000 1.27017
\(76\) 0 0
\(77\) 6.00000 0.683763
\(78\) −0.173648 0.984808i −0.0196618 0.111508i
\(79\) 7.66044 6.42788i 0.861867 0.723193i −0.100502 0.994937i \(-0.532045\pi\)
0.962369 + 0.271744i \(0.0876005\pi\)
\(80\) 3.75877 1.36808i 0.420243 0.152956i
\(81\) −0.939693 0.342020i −0.104410 0.0380022i
\(82\) −6.12836 5.14230i −0.676764 0.567872i
\(83\) 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
\(85\) −2.08378 + 11.8177i −0.226017 + 1.28181i
\(86\) −0.694593 + 3.93923i −0.0748999 + 0.424778i
\(87\) −2.50000 4.33013i −0.268028 0.464238i
\(88\) 1.00000 1.73205i 0.106600 0.184637i
\(89\) 0 0 0.642788 0.766044i \(-0.277778\pi\)
−0.642788 + 0.766044i \(0.722222\pi\)
\(90\) 7.51754 + 2.73616i 0.792418 + 0.288417i
\(91\) −2.81908 + 1.02606i −0.295520 + 0.107560i
\(92\) −0.766044 + 0.642788i −0.0798657 + 0.0670152i
\(93\) 1.38919 + 7.87846i 0.144052 + 0.816958i
\(94\) −8.00000 −0.825137
\(95\) 0 0
\(96\) −1.00000 −0.102062
\(97\) 0.347296 + 1.96962i 0.0352626 + 0.199984i 0.997350 0.0727587i \(-0.0231803\pi\)
−0.962087 + 0.272743i \(0.912069\pi\)
\(98\) −1.53209 + 1.28558i −0.154764 + 0.129863i
\(99\) 3.75877 1.36808i 0.377771 0.137497i
\(100\) −10.3366 3.76222i −1.03366 0.376222i
\(101\) 1.53209 + 1.28558i 0.152449 + 0.127920i 0.715822 0.698283i \(-0.246052\pi\)
−0.563373 + 0.826202i \(0.690497\pi\)
\(102\) 1.50000 2.59808i 0.148522 0.257248i
\(103\) −3.00000 5.19615i −0.295599 0.511992i 0.679525 0.733652i \(-0.262186\pi\)
−0.975124 + 0.221660i \(0.928852\pi\)
\(104\) −0.173648 + 0.984808i −0.0170276 + 0.0965683i
\(105\) −2.08378 + 11.8177i −0.203356 + 1.15329i
\(106\) 0.500000 + 0.866025i 0.0485643 + 0.0841158i
\(107\) −3.50000 + 6.06218i −0.338358 + 0.586053i −0.984124 0.177482i \(-0.943205\pi\)
0.645766 + 0.763535i \(0.276538\pi\)
\(108\) −3.83022 3.21394i −0.368563 0.309261i
\(109\) −14.0954 5.13030i −1.35009 0.491394i −0.437116 0.899405i \(-0.644000\pi\)
−0.912977 + 0.408011i \(0.866222\pi\)
\(110\) −7.51754 + 2.73616i −0.716769 + 0.260883i
\(111\) 1.53209 1.28558i 0.145419 0.122021i
\(112\) 0.520945 + 2.95442i 0.0492246 + 0.279167i
\(113\) −14.0000 −1.31701 −0.658505 0.752577i \(-0.728811\pi\)
−0.658505 + 0.752577i \(0.728811\pi\)
\(114\) 0 0
\(115\) 4.00000 0.373002
\(116\) 0.868241 + 4.92404i 0.0806141 + 0.457186i
\(117\) −1.53209 + 1.28558i −0.141642 + 0.118851i
\(118\) −14.0954 + 5.13030i −1.29759 + 0.472283i
\(119\) −8.45723 3.07818i −0.775273 0.282176i
\(120\) 3.06418 + 2.57115i 0.279720 + 0.234713i
\(121\) 3.50000 6.06218i 0.318182 0.551107i
\(122\) 1.00000 + 1.73205i 0.0905357 + 0.156813i
\(123\) 1.38919 7.87846i 0.125259 0.710377i
\(124\) 1.38919 7.87846i 0.124753 0.707507i
\(125\) 12.0000 + 20.7846i 1.07331 + 1.85903i
\(126\) −3.00000 + 5.19615i −0.267261 + 0.462910i
\(127\) −13.7888 11.5702i −1.22356 1.02669i −0.998631 0.0523116i \(-0.983341\pi\)
−0.224927 0.974376i \(-0.572214\pi\)
\(128\) 0.939693 + 0.342020i 0.0830579 + 0.0302306i
\(129\) −3.75877 + 1.36808i −0.330941 + 0.120453i
\(130\) 3.06418 2.57115i 0.268746 0.225505i
\(131\) 2.08378 + 11.8177i 0.182061 + 1.03252i 0.929674 + 0.368383i \(0.120088\pi\)
−0.747614 + 0.664134i \(0.768800\pi\)
\(132\) 2.00000 0.174078
\(133\) 0 0
\(134\) 3.00000 0.259161
\(135\) 3.47296 + 19.6962i 0.298905 + 1.69518i
\(136\) −2.29813 + 1.92836i −0.197063 + 0.165356i
\(137\) 15.9748 5.81434i 1.36482 0.496753i 0.447277 0.894396i \(-0.352394\pi\)
0.917540 + 0.397643i \(0.130172\pi\)
\(138\) −0.939693 0.342020i −0.0799919 0.0291147i
\(139\) 0 0 0.642788 0.766044i \(-0.277778\pi\)
−0.642788 + 0.766044i \(0.722222\pi\)
\(140\) 6.00000 10.3923i 0.507093 0.878310i
\(141\) −4.00000 6.92820i −0.336861 0.583460i
\(142\) 0.347296 1.96962i 0.0291445 0.165286i
\(143\) 0.347296 1.96962i 0.0290424 0.164708i
\(144\) 1.00000 + 1.73205i 0.0833333 + 0.144338i
\(145\) 10.0000 17.3205i 0.830455 1.43839i
\(146\) −6.89440 5.78509i −0.570585 0.478777i
\(147\) −1.87939 0.684040i −0.155009 0.0564187i
\(148\) −1.87939 + 0.684040i −0.154485 + 0.0562278i
\(149\) 0 0 −0.642788 0.766044i \(-0.722222\pi\)
0.642788 + 0.766044i \(0.277778\pi\)
\(150\) −1.91013 10.8329i −0.155961 0.884501i
\(151\) −2.00000 −0.162758 −0.0813788 0.996683i \(-0.525932\pi\)
−0.0813788 + 0.996683i \(0.525932\pi\)
\(152\) 0 0
\(153\) −6.00000 −0.485071
\(154\) −1.04189 5.90885i −0.0839578 0.476148i
\(155\) −24.5134 + 20.5692i −1.96897 + 1.65216i
\(156\) −0.939693 + 0.342020i −0.0752356 + 0.0273835i
\(157\) 1.87939 + 0.684040i 0.149991 + 0.0545924i 0.415925 0.909399i \(-0.363458\pi\)
−0.265934 + 0.963991i \(0.585680\pi\)
\(158\) −7.66044 6.42788i −0.609432 0.511374i
\(159\) −0.500000 + 0.866025i −0.0396526 + 0.0686803i
\(160\) −2.00000 3.46410i −0.158114 0.273861i
\(161\) −0.520945 + 2.95442i −0.0410562 + 0.232841i
\(162\) −0.173648 + 0.984808i −0.0136431 + 0.0773738i
\(163\) 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
\(165\) −6.12836 5.14230i −0.477092 0.400328i
\(166\) −5.63816 2.05212i −0.437606 0.159275i
\(167\) −11.2763 + 4.10424i −0.872587 + 0.317596i −0.739214 0.673470i \(-0.764803\pi\)
−0.133373 + 0.991066i \(0.542581\pi\)
\(168\) −2.29813 + 1.92836i −0.177305 + 0.148776i
\(169\) −2.08378 11.8177i −0.160291 0.909053i
\(170\) 12.0000 0.920358
\(171\) 0 0
\(172\) 4.00000 0.304997
\(173\) 1.04189 + 5.90885i 0.0792134 + 0.449241i 0.998456 + 0.0555496i \(0.0176911\pi\)
−0.919243 + 0.393692i \(0.871198\pi\)
\(174\) −3.83022 + 3.21394i −0.290368 + 0.243648i
\(175\) −31.0099 + 11.2867i −2.34412 + 0.853192i
\(176\) −1.87939 0.684040i −0.141664 0.0515615i
\(177\) −11.4907 9.64181i −0.863691 0.724723i
\(178\) 0 0
\(179\) 0 0 0.866025 0.500000i \(-0.166667\pi\)
−0.866025 + 0.500000i \(0.833333\pi\)
\(180\) 1.38919 7.87846i 0.103544 0.587226i
\(181\) −3.82026 + 21.6658i −0.283958 + 1.61040i 0.425027 + 0.905181i \(0.360264\pi\)
−0.708985 + 0.705224i \(0.750847\pi\)
\(182\) 1.50000 + 2.59808i 0.111187 + 0.192582i
\(183\) −1.00000 + 1.73205i −0.0739221 + 0.128037i
\(184\) 0.766044 + 0.642788i 0.0564735 + 0.0473869i
\(185\) 7.51754 + 2.73616i 0.552701 + 0.201167i
\(186\) 7.51754 2.73616i 0.551213 0.200625i
\(187\) 4.59627 3.85673i 0.336112 0.282032i
\(188\) 1.38919 + 7.87846i 0.101317 + 0.574596i
\(189\) −15.0000 −1.09109
\(190\) 0 0
\(191\) 7.00000 0.506502 0.253251 0.967401i \(-0.418500\pi\)
0.253251 + 0.967401i \(0.418500\pi\)
\(192\) 0.173648 + 0.984808i 0.0125320 + 0.0710724i
\(193\) 4.59627 3.85673i 0.330847 0.277613i −0.462198 0.886777i \(-0.652939\pi\)
0.793045 + 0.609163i \(0.208495\pi\)
\(194\) 1.87939 0.684040i 0.134932 0.0491112i
\(195\) 3.75877 + 1.36808i 0.269171 + 0.0979703i
\(196\) 1.53209 + 1.28558i 0.109435 + 0.0918268i
\(197\) −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
\(199\) −4.34120 + 24.6202i −0.307740 + 1.74528i 0.302580 + 0.953124i \(0.402152\pi\)
−0.610320 + 0.792155i \(0.708959\pi\)
\(200\) −1.91013 + 10.8329i −0.135067 + 0.766001i
\(201\) 1.50000 + 2.59808i 0.105802 + 0.183254i
\(202\) 1.00000 1.73205i 0.0703598 0.121867i
\(203\) 11.4907 + 9.64181i 0.806487 + 0.676723i
\(204\) −2.81908 1.02606i −0.197375 0.0718386i
\(205\) 30.0702 10.9446i 2.10019 0.764407i
\(206\) −4.59627 + 3.85673i −0.320237 + 0.268711i
\(207\) 0.347296 + 1.96962i 0.0241388 + 0.136898i
\(208\) 1.00000 0.0693375
\(209\) 0 0
\(210\) 12.0000 0.828079
\(211\) −4.68850 26.5898i −0.322770 1.83052i −0.524906 0.851160i \(-0.675899\pi\)
0.202136 0.979357i \(-0.435212\pi\)
\(212\) 0.766044 0.642788i 0.0526121 0.0441468i
\(213\) 1.87939 0.684040i 0.128773 0.0468697i
\(214\) 6.57785 + 2.39414i 0.449652 + 0.163660i
\(215\) −12.2567 10.2846i −0.835901 0.701404i
\(216\) −2.50000 + 4.33013i −0.170103 + 0.294628i
\(217\) −12.0000 20.7846i −0.814613 1.41095i
\(218\) −2.60472 + 14.7721i −0.176414 + 1.00049i
\(219\) 1.56283 8.86327i 0.105607 0.598924i
\(220\) 4.00000 + 6.92820i 0.269680 + 0.467099i
\(221\) −1.50000 + 2.59808i −0.100901 + 0.174766i
\(222\) −1.53209 1.28558i −0.102827 0.0862822i
\(223\) 13.1557 + 4.78828i 0.880971 + 0.320647i 0.742601 0.669734i \(-0.233592\pi\)
0.138369 + 0.990381i \(0.455814\pi\)
\(224\) 2.81908 1.02606i 0.188358 0.0685565i
\(225\) −16.8530 + 14.1413i −1.12353 + 0.942755i
\(226\) 2.43107 + 13.7873i 0.161713 + 0.917118i
\(227\) 17.0000 1.12833 0.564165 0.825662i \(-0.309198\pi\)
0.564165 + 0.825662i \(0.309198\pi\)
\(228\) 0 0
\(229\) −10.0000 −0.660819 −0.330409 0.943838i \(-0.607187\pi\)
−0.330409 + 0.943838i \(0.607187\pi\)
\(230\) −0.694593 3.93923i −0.0458001 0.259745i
\(231\) 4.59627 3.85673i 0.302412 0.253754i
\(232\) 4.69846 1.71010i 0.308469 0.112274i
\(233\) 5.63816 + 2.05212i 0.369368 + 0.134439i 0.520033 0.854146i \(-0.325919\pi\)
−0.150666 + 0.988585i \(0.548142\pi\)
\(234\) 1.53209 + 1.28558i 0.100156 + 0.0840407i
\(235\) 16.0000 27.7128i 1.04372 1.80778i
\(236\) 7.50000 + 12.9904i 0.488208 + 0.845602i
\(237\) 1.73648 9.84808i 0.112797 0.639701i
\(238\) −1.56283 + 8.86327i −0.101303 + 0.574520i
\(239\) −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
\(241\) 6.12836 + 5.14230i 0.394762 + 0.331245i 0.818465 0.574557i \(-0.194825\pi\)
−0.423703 + 0.905801i \(0.639270\pi\)
\(242\) −6.57785 2.39414i −0.422840 0.153901i
\(243\) −15.0351 + 5.47232i −0.964501 + 0.351050i
\(244\) 1.53209 1.28558i 0.0980819 0.0823005i
\(245\) −1.38919 7.87846i −0.0887518 0.503336i
\(246\) −8.00000 −0.510061
\(247\) 0 0
\(248\) −8.00000 −0.508001
\(249\) −1.04189 5.90885i −0.0660270 0.374458i
\(250\) 18.3851 15.4269i 1.16277 0.975683i
\(251\) −1.87939 + 0.684040i −0.118626 + 0.0431762i −0.400651 0.916231i \(-0.631216\pi\)
0.282025 + 0.959407i \(0.408994\pi\)
\(252\) 5.63816 + 2.05212i 0.355170 + 0.129271i
\(253\) −1.53209 1.28558i −0.0963216 0.0808234i
\(254\) −9.00000 + 15.5885i −0.564710 + 0.978107i
\(255\) 6.00000 + 10.3923i 0.375735 + 0.650791i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −1.38919 + 7.87846i −0.0866550 + 0.491445i 0.910332 + 0.413878i \(0.135826\pi\)
−0.996987 + 0.0775665i \(0.975285\pi\)
\(258\) 2.00000 + 3.46410i 0.124515 + 0.215666i
\(259\) −3.00000 + 5.19615i −0.186411 + 0.322873i
\(260\) −3.06418 2.57115i −0.190032 0.159456i
\(261\) 9.39693 + 3.42020i 0.581655 + 0.211705i
\(262\) 11.2763 4.10424i 0.696653 0.253561i
\(263\) 18.3851 15.4269i 1.13367 0.951264i 0.134458 0.990919i \(-0.457071\pi\)
0.999213 + 0.0396557i \(0.0126261\pi\)
\(264\) −0.347296 1.96962i −0.0213746 0.121221i
\(265\) −4.00000 −0.245718
\(266\) 0 0
\(267\) 0 0
\(268\) −0.520945 2.95442i −0.0318218 0.180470i
\(269\) −22.9813 + 19.2836i −1.40120 + 1.17574i −0.440632 + 0.897688i \(0.645245\pi\)
−0.960565 + 0.278056i \(0.910310\pi\)
\(270\) 18.7939 6.84040i 1.14376 0.416294i
\(271\) −6.57785 2.39414i −0.399576 0.145434i 0.134413 0.990925i \(-0.457085\pi\)
−0.533989 + 0.845492i \(0.679307\pi\)
\(272\) 2.29813 + 1.92836i 0.139345 + 0.116924i
\(273\) −1.50000 + 2.59808i −0.0907841 + 0.157243i
\(274\) −8.50000 14.7224i −0.513504 0.889415i
\(275\) 3.82026 21.6658i 0.230370 1.30650i
\(276\) −0.173648 + 0.984808i −0.0104524 + 0.0592785i
\(277\) −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
\(279\) −12.2567 10.2846i −0.733790 0.615723i
\(280\) −11.2763 4.10424i −0.673889 0.245275i
\(281\) −7.51754 + 2.73616i −0.448459 + 0.163226i −0.556370 0.830935i \(-0.687806\pi\)
0.107911 + 0.994161i \(0.465584\pi\)
\(282\) −6.12836 + 5.14230i −0.364938 + 0.306220i
\(283\) −1.04189 5.90885i −0.0619339 0.351244i −0.999989 0.00475755i \(-0.998486\pi\)
0.938055 0.346487i \(-0.112625\pi\)
\(284\) −2.00000 −0.118678
\(285\) 0 0
\(286\) −2.00000 −0.118262
\(287\) 4.16756 + 23.6354i 0.246003 + 1.39515i
\(288\) 1.53209 1.28558i 0.0902792 0.0757532i
\(289\) 7.51754 2.73616i 0.442208 0.160951i
\(290\) −18.7939 6.84040i −1.10361 0.401682i
\(291\) 1.53209 + 1.28558i 0.0898126 + 0.0753618i
\(292\) −4.50000 + 7.79423i −0.263343 + 0.456123i
\(293\) 4.50000 + 7.79423i 0.262893 + 0.455344i 0.967009 0.254741i \(-0.0819901\pi\)
−0.704117 + 0.710084i \(0.748657\pi\)
\(294\) −0.347296 + 1.96962i −0.0202547 + 0.114870i
\(295\) 10.4189 59.0885i 0.606611 3.44026i
\(296\) 1.00000 + 1.73205i 0.0581238 + 0.100673i
\(297\) 5.00000 8.66025i 0.290129 0.502519i
\(298\) 0 0
\(299\) 0.939693 + 0.342020i 0.0543438 + 0.0197795i
\(300\) −10.3366 + 3.76222i −0.596785 + 0.217212i
\(301\) 9.19253 7.71345i 0.529849 0.444596i
\(302\) 0.347296 + 1.96962i 0.0199847 + 0.113339i
\(303\) 2.00000 0.114897
\(304\) 0 0
\(305\) −8.00000 −0.458079
\(306\) 1.04189 + 5.90885i 0.0595608 + 0.337786i
\(307\) 9.19253 7.71345i 0.524646 0.440230i −0.341602 0.939845i \(-0.610970\pi\)
0.866248 + 0.499615i \(0.166525\pi\)
\(308\) −5.63816 + 2.05212i −0.321264 + 0.116930i
\(309\) −5.63816 2.05212i −0.320743 0.116741i
\(310\) 24.5134 + 20.5692i 1.39227 + 1.16825i
\(311\) −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
\(313\) 5.03580 28.5594i 0.284640 1.61427i −0.421928 0.906629i \(-0.638647\pi\)
0.706568 0.707645i \(-0.250242\pi\)
\(314\) 0.347296 1.96962i 0.0195991 0.111152i
\(315\) −12.0000 20.7846i −0.676123 1.17108i
\(316\) −5.00000 + 8.66025i −0.281272 + 0.487177i
\(317\) 20.6832 + 17.3553i 1.16168 + 0.974769i 0.999927 0.0120618i \(-0.00383948\pi\)
0.161757 + 0.986831i \(0.448284\pi\)
\(318\) 0.939693 + 0.342020i 0.0526953 + 0.0191795i
\(319\) −9.39693 + 3.42020i −0.526127 + 0.191495i
\(320\) −3.06418 + 2.57115i −0.171293 + 0.143732i
\(321\) 1.21554 + 6.89365i 0.0678447 + 0.384766i
\(322\) 3.00000 0.167183
\(323\) 0 0
\(324\) 1.00000 0.0555556
\(325\) 1.91013 + 10.8329i 0.105955 + 0.600900i
\(326\) 12.2567 10.2846i 0.678836 0.569611i
\(327\) −14.0954 + 5.13030i −0.779477 + 0.283706i
\(328\) 7.51754 + 2.73616i 0.415087 + 0.151079i
\(329\) 18.3851 + 15.4269i 1.01360 + 0.850513i
\(330\) −4.00000 + 6.92820i −0.220193 + 0.381385i
\(331\) 8.50000 + 14.7224i 0.467202 + 0.809218i 0.999298 0.0374662i \(-0.0119287\pi\)
−0.532096 + 0.846684i \(0.678595\pi\)
\(332\) −1.04189 + 5.90885i −0.0571811 + 0.324290i
\(333\) −0.694593 + 3.93923i −0.0380634 + 0.215869i
\(334\) 6.00000 + 10.3923i 0.328305 + 0.568642i
\(335\) −6.00000 + 10.3923i −0.327815 + 0.567792i
\(336\) 2.29813 + 1.92836i 0.125373 + 0.105201i
\(337\) −30.0702 10.9446i −1.63803 0.596193i −0.651334 0.758791i \(-0.725790\pi\)
−0.986692 + 0.162598i \(0.948012\pi\)
\(338\) −11.2763 + 4.10424i −0.613350 + 0.223241i
\(339\) −10.7246 + 8.99903i −0.582482 + 0.488760i
\(340\) −2.08378 11.8177i −0.113009 0.640904i
\(341\) 16.0000 0.866449
\(342\) 0 0
\(343\) −15.0000 −0.809924
\(344\) −0.694593 3.93923i −0.0374499 0.212389i
\(345\) 3.06418 2.57115i 0.164970 0.138426i
\(346\) 5.63816 2.05212i 0.303109 0.110323i
\(347\) 1.87939 + 0.684040i 0.100891 + 0.0367212i 0.391972 0.919977i \(-0.371793\pi\)
−0.291082 + 0.956698i \(0.594015\pi\)
\(348\) 3.83022 + 3.21394i 0.205321 + 0.172285i
\(349\) −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
\(351\) −0.868241 + 4.92404i −0.0463433 + 0.262826i
\(352\) −0.347296 + 1.96962i −0.0185110 + 0.104981i
\(353\) −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
\(355\) 6.12836 + 5.14230i 0.325259 + 0.272925i
\(356\) 0 0
\(357\) −8.45723 + 3.07818i −0.447604 + 0.162915i
\(358\) 0 0
\(359\) −2.60472 14.7721i −0.137472 0.779642i −0.973106 0.230356i \(-0.926011\pi\)
0.835634 0.549286i \(-0.185100\pi\)
\(360\) −8.00000 −0.421637
\(361\) 0 0
\(362\) 22.0000 1.15629
\(363\) −1.21554 6.89365i −0.0637992 0.361823i
\(364\) 2.29813 1.92836i 0.120455 0.101074i
\(365\) 33.8289 12.3127i 1.77069 0.644477i
\(366\) 1.87939 + 0.684040i 0.0982370 + 0.0357554i
\(367\) 21.4492 + 17.9981i 1.11964 + 0.939491i 0.998586 0.0531551i \(-0.0169278\pi\)
0.121055 + 0.992646i \(0.461372\pi\)
\(368\) 0.500000 0.866025i 0.0260643 0.0451447i
\(369\) 8.00000 + 13.8564i 0.416463 + 0.721336i
\(370\) 1.38919 7.87846i 0.0722203 0.409582i
\(371\) 0.520945 2.95442i 0.0270461 0.153386i
\(372\) −4.00000 6.92820i −0.207390 0.359211i
\(373\) 14.5000 25.1147i 0.750782 1.30039i −0.196663 0.980471i \(-0.563010\pi\)
0.947444 0.319921i \(-0.103656\pi\)
\(374\) −4.59627 3.85673i −0.237667 0.199427i
\(375\) 22.5526 + 8.20848i 1.16461 + 0.423884i
\(376\) 7.51754 2.73616i 0.387688 0.141107i
\(377\) 3.83022 3.21394i 0.197266 0.165526i
\(378\) 2.60472 + 14.7721i 0.133972 + 0.759796i
\(379\) −15.0000 −0.770498 −0.385249 0.922813i \(-0.625884\pi\)
−0.385249 + 0.922813i \(0.625884\pi\)
\(380\) 0 0
\(381\) −18.0000 −0.922168
\(382\) −1.21554 6.89365i −0.0621923 0.352710i
\(383\) 19.9172 16.7125i 1.01772 0.853968i 0.0283799 0.999597i \(-0.490965\pi\)
0.989339 + 0.145629i \(0.0465207\pi\)
\(384\) 0.939693 0.342020i 0.0479535 0.0174536i
\(385\) 22.5526 + 8.20848i 1.14939 + 0.418343i
\(386\) −4.59627 3.85673i −0.233944 0.196302i
\(387\) 4.00000 6.92820i 0.203331 0.352180i
\(388\) −1.00000 1.73205i −0.0507673 0.0879316i
\(389\) −5.20945 + 29.5442i −0.264129 + 1.49795i 0.507374 + 0.861726i \(0.330616\pi\)
−0.771503 + 0.636226i \(0.780495\pi\)
\(390\) 0.694593 3.93923i 0.0351721 0.199471i
\(391\) 1.50000 + 2.59808i 0.0758583 + 0.131390i
\(392\) 1.00000 1.73205i 0.0505076 0.0874818i
\(393\) 9.19253 + 7.71345i 0.463702 + 0.389092i
\(394\) 7.51754 + 2.73616i 0.378728 + 0.137846i
\(395\) 37.5877 13.6808i 1.89124 0.688356i
\(396\) −3.06418 + 2.57115i −0.153981 + 0.129205i
\(397\) 1.38919 + 7.87846i 0.0697212 + 0.395409i 0.999619 + 0.0275914i \(0.00878372\pi\)
−0.929898 + 0.367817i \(0.880105\pi\)
\(398\) 25.0000 1.25314
\(399\) 0 0
\(400\) 11.0000 0.550000
\(401\) 1.38919 + 7.87846i 0.0693726 + 0.393432i 0.999647 + 0.0265672i \(0.00845760\pi\)
−0.930274 + 0.366864i \(0.880431\pi\)
\(402\) 2.29813 1.92836i 0.114620 0.0961780i
\(403\) −7.51754 + 2.73616i −0.374475 + 0.136298i
\(404\) −1.87939 0.684040i −0.0935029 0.0340323i
\(405\) −3.06418 2.57115i −0.152260 0.127761i
\(406\) 7.50000 12.9904i 0.372219 0.644702i
\(407\) −2.00000 3.46410i −0.0991363 0.171709i
\(408\) −0.520945 + 2.95442i −0.0257906 + 0.146266i
\(409\) 3.47296 19.6962i 0.171727 0.973912i −0.770127 0.637890i \(-0.779807\pi\)
0.941854 0.336022i \(-0.109082\pi\)
\(410\) −16.0000 27.7128i −0.790184 1.36864i
\(411\) 8.50000 14.7224i 0.419274 0.726204i
\(412\) 4.59627 + 3.85673i 0.226442 + 0.190007i
\(413\) 42.2862 + 15.3909i 2.08077 + 0.757337i
\(414\) 1.87939 0.684040i 0.0923667 0.0336187i
\(415\) 18.3851 15.4269i 0.902487 0.757277i
\(416\) −0.173648 0.984808i −0.00851380 0.0482842i
\(417\) 0 0
\(418\) 0 0
\(419\) 0 0 1.00000i \(-0.5\pi\)
1.00000i \(0.5\pi\)
\(420\) −2.08378 11.8177i −0.101678 0.576644i
\(421\) 9.95858 8.35624i 0.485351 0.407258i −0.367005 0.930219i \(-0.619617\pi\)
0.852357 + 0.522961i \(0.175173\pi\)
\(422\) −25.3717 + 9.23454i −1.23508 + 0.449531i
\(423\) 15.0351 + 5.47232i 0.731031 + 0.266073i
\(424\) −0.766044 0.642788i −0.0372024 0.0312165i
\(425\) −16.5000 + 28.5788i −0.800368 + 1.38628i
\(426\) −1.00000 1.73205i −0.0484502 0.0839181i
\(427\) 1.04189 5.90885i 0.0504205 0.285949i
\(428\) 1.21554 6.89365i 0.0587552 0.333217i
\(429\) −1.00000 1.73205i −0.0482805 0.0836242i
\(430\) −8.00000 + 13.8564i −0.385794 + 0.668215i
\(431\) 13.7888 + 11.5702i 0.664183 + 0.557316i 0.911337 0.411660i \(-0.135051\pi\)
−0.247154 + 0.968976i \(0.579495\pi\)
\(432\) 4.69846 + 1.71010i 0.226055 + 0.0822773i
\(433\) 13.1557 4.78828i 0.632222 0.230110i −0.00597589 0.999982i \(-0.501902\pi\)
0.638198 + 0.769872i \(0.279680\pi\)
\(434\) −18.3851 + 15.4269i −0.882511 + 0.740515i
\(435\) −3.47296 19.6962i −0.166516 0.944358i
\(436\) 15.0000 0.718370
\(437\) 0 0
\(438\) −9.00000 −0.430037
\(439\) −3.47296 19.6962i −0.165756 0.940046i −0.948282 0.317429i \(-0.897180\pi\)
0.782527 0.622617i \(-0.213931\pi\)
\(440\) 6.12836 5.14230i 0.292158 0.245150i
\(441\) 3.75877 1.36808i 0.178989 0.0651467i
\(442\) 2.81908 + 1.02606i 0.134090 + 0.0488047i
\(443\) −19.9172 16.7125i −0.946293 0.794034i 0.0323767 0.999476i \(-0.489692\pi\)
−0.978669 + 0.205442i \(0.934137\pi\)
\(444\) −1.00000 + 1.73205i −0.0474579 + 0.0821995i
\(445\) 0 0
\(446\) 2.43107 13.7873i 0.115115 0.652848i
\(447\) 0 0
\(448\) −1.50000 2.59808i −0.0708683 0.122748i
\(449\) 5.00000 8.66025i 0.235965 0.408703i −0.723588 0.690232i \(-0.757508\pi\)
0.959553 + 0.281529i \(0.0908417\pi\)
\(450\) 16.8530 + 14.1413i 0.794457 + 0.666629i
\(451\) −15.0351 5.47232i −0.707974 0.257682i
\(452\) 13.1557 4.78828i 0.618792 0.225222i
\(453\) −1.53209 + 1.28558i −0.0719838 + 0.0604016i
\(454\) −2.95202 16.7417i −0.138545 0.785728i
\(455\) −12.0000 −0.562569
\(456\) 0 0
\(457\) −7.00000 −0.327446 −0.163723 0.986506i \(-0.552350\pi\)
−0.163723 + 0.986506i \(0.552350\pi\)
\(458\) 1.73648 + 9.84808i 0.0811405 + 0.460170i
\(459\) −11.4907 + 9.64181i −0.536338 + 0.450041i
\(460\) −3.75877 + 1.36808i −0.175254 + 0.0637871i
\(461\) 26.3114 + 9.57656i 1.22544 + 0.446025i 0.872035 0.489444i \(-0.162800\pi\)
0.353409 + 0.935469i \(0.385022\pi\)
\(462\) −4.59627 3.85673i −0.213838 0.179431i
\(463\) −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
\(465\) −5.55674 + 31.5138i −0.257688 + 1.46142i
\(466\) 1.04189 5.90885i 0.0482646 0.273722i
\(467\) 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
\(469\) −6.89440 5.78509i −0.318354 0.267131i
\(470\) −30.0702 10.9446i −1.38703 0.504839i
\(471\) 1.87939 0.684040i 0.0865975 0.0315189i
\(472\) 11.4907 9.64181i 0.528901 0.443800i
\(473\) 1.38919 + 7.87846i 0.0638748 + 0.362252i
\(474\) −10.0000 −0.459315
\(475\) 0 0
\(476\) 9.00000 0.412514
\(477\) −0.347296 1.96962i −0.0159016 0.0901825i
\(478\) −11.4907 + 9.64181i −0.525571 + 0.441006i
\(479\) 18.7939 6.84040i 0.858713 0.312546i 0.125125 0.992141i \(-0.460067\pi\)
0.733588 + 0.679595i \(0.237844\pi\)
\(480\) −3.75877 1.36808i −0.171564 0.0624440i
\(481\) 1.53209 + 1.28558i 0.0698572 + 0.0586172i
\(482\) 4.00000 6.92820i 0.182195 0.315571i
\(483\) 1.50000 + 2.59808i 0.0682524 + 0.118217i
\(484\) −1.21554 + 6.89365i −0.0552517 + 0.313348i
\(485\) −1.38919 + 7.87846i −0.0630797 + 0.357743i
\(486\) 8.00000 + 13.8564i 0.362887 + 0.628539i
\(487\) −1.00000 + 1.73205i −0.0453143 + 0.0784867i −0.887793 0.460243i \(-0.847762\pi\)
0.842479 + 0.538730i \(0.181096\pi\)
\(488\) −1.53209 1.28558i −0.0693544 0.0581953i
\(489\) 15.0351 + 5.47232i 0.679910 + 0.247467i
\(490\) −7.51754 + 2.73616i −0.339608 + 0.123607i
\(491\) −21.4492 + 17.9981i −0.967991 + 0.812241i −0.982234 0.187658i \(-0.939910\pi\)
0.0142436 + 0.999899i \(0.495466\pi\)
\(492\) 1.38919 + 7.87846i 0.0626293 + 0.355188i
\(493\) 15.0000 0.675566
\(494\) 0 0
\(495\) 16.0000 0.719147
\(496\) 1.38919 + 7.87846i 0.0623763 + 0.353753i
\(497\) −4.59627 + 3.85673i −0.206171 + 0.172998i
\(498\) −5.63816 + 2.05212i −0.252652 + 0.0919577i
\(499\) −37.5877 13.6808i −1.68266 0.612437i −0.688987 0.724774i \(-0.741944\pi\)
−0.993670 + 0.112337i \(0.964166\pi\)
\(500\) −18.3851 15.4269i −0.822205 0.689912i
\(501\) −6.00000 + 10.3923i −0.268060 + 0.464294i
\(502\) 1.00000 + 1.73205i 0.0446322 + 0.0773052i
\(503\) 6.77228 38.4075i 0.301961 1.71251i −0.335514 0.942035i \(-0.608910\pi\)
0.637475 0.770471i \(-0.279979\pi\)
\(504\) 1.04189 5.90885i 0.0464094 0.263201i
\(505\) 4.00000 + 6.92820i 0.177998 + 0.308301i
\(506\) −1.00000 + 1.73205i −0.0444554 + 0.0769991i
\(507\) −9.19253 7.71345i −0.408255 0.342566i
\(508\) 16.9145 + 6.15636i 0.750458 + 0.273144i
\(509\) −28.1908 + 10.2606i −1.24953 + 0.454793i −0.880244 0.474521i \(-0.842621\pi\)
−0.369290 + 0.929314i \(0.620399\pi\)
\(510\) 9.19253 7.71345i 0.407052 0.341557i
\(511\) 4.68850 + 26.5898i 0.207407 + 1.17626i
\(512\) −1.00000 −0.0441942
\(513\) 0 0
\(514\) 8.00000 0.352865
\(515\) −4.16756 23.6354i −0.183644 1.04150i
\(516\) 3.06418 2.57115i 0.134893 0.113189i
\(517\) −15.0351 + 5.47232i −0.661242 + 0.240672i
\(518\) 5.63816 + 2.05212i 0.247726 + 0.0901650i
\(519\) 4.59627 + 3.85673i 0.201754 + 0.169291i
\(520\) −2.00000 + 3.46410i −0.0877058 + 0.151911i
\(521\) −14.0000 24.2487i −0.613351 1.06236i −0.990671 0.136272i \(-0.956488\pi\)
0.377320 0.926083i \(-0.376846\pi\)
\(522\) 1.73648 9.84808i 0.0760037 0.431039i
\(523\) −5.03580 + 28.5594i −0.220200 + 1.24882i 0.651451 + 0.758690i \(0.274160\pi\)
−0.871652 + 0.490126i \(0.836951\pi\)
\(524\) −6.00000 10.3923i −0.262111 0.453990i
\(525\) −16.5000 + 28.5788i −0.720119 + 1.24728i
\(526\) −18.3851 15.4269i −0.801627 0.672645i
\(527\) −22.5526 8.20848i −0.982408 0.357567i
\(528\) −1.87939 + 0.684040i −0.0817897 + 0.0297690i
\(529\) −16.8530 + 14.1413i −0.732738 + 0.614840i
\(530\) 0.694593 + 3.93923i 0.0301712 + 0.171109i
\(531\) 30.0000 1.30189
\(532\) 0 0
\(533\) 8.00000 0.346518
\(534\) 0 0
\(535\) −21.4492 + 17.9981i −0.927332 + 0.778124i
\(536\) −2.81908 + 1.02606i −0.121766 + 0.0443191i
\(537\) 0 0
\(538\) 22.9813 + 19.2836i 0.990796 + 0.831376i
\(539\) −2.00000 + 3.46410i −0.0861461 + 0.149209i
\(540\) −10.0000 17.3205i −0.430331 0.745356i
\(541\) 0.347296 1.96962i 0.0149314 0.0846804i −0.976431 0.215828i \(-0.930755\pi\)
0.991363 + 0.131147i \(0.0418661\pi\)
\(542\) −1.21554 + 6.89365i −0.0522118 + 0.296108i
\(543\) 11.0000 + 19.0526i 0.472055 + 0.817624i
\(544\) 1.50000 2.59808i 0.0643120 0.111392i
\(545\) −45.9627 38.5673i −1.96882 1.65204i
\(546\) 2.81908 + 1.02606i 0.120645 + 0.0439113i
\(547\) 26.3114 9.57656i 1.12499 0.409464i 0.288522 0.957473i \(-0.406836\pi\)
0.836472 + 0.548009i \(0.184614\pi\)
\(548\) −13.0228 + 10.9274i −0.556305 + 0.466795i
\(549\) −0.694593 3.93923i −0.0296445 0.168122i
\(550\) −22.0000 −0.938083
\(551\) 0 0
\(552\) 1.00000 0.0425628
\(553\) 5.20945 + 29.5442i 0.221528 + 1.25635i
\(554\) −21.4492 + 17.9981i −0.911291 + 0.764664i
\(555\) 7.51754 2.73616i 0.319102 0.116144i
\(556\) 0 0
\(557\) 21.4492 + 17.9981i 0.908834 + 0.762602i 0.971897 0.235408i \(-0.0756425\pi\)
−0.0630631 + 0.998010i \(0.520087\pi\)
\(558\) −8.00000 + 13.8564i −0.338667 + 0.586588i
\(559\) −2.00000 3.46410i −0.0845910 0.146516i
\(560\) −2.08378 + 11.8177i −0.0880557 + 0.499389i
\(561\) 1.04189 5.90885i 0.0439886 0.249472i
\(562\) 4.00000 + 6.92820i 0.168730 + 0.292249i
\(563\) −18.0000 + 31.1769i −0.758610 + 1.31395i 0.184950 + 0.982748i \(0.440788\pi\)
−0.943560 + 0.331202i \(0.892546\pi\)
\(564\) 6.12836 + 5.14230i 0.258050 + 0.216530i
\(565\) −52.6228 19.1531i −2.21386 0.805778i
\(566\) −5.63816 + 2.05212i −0.236989 + 0.0862571i
\(567\) 2.29813 1.92836i 0.0965125 0.0809836i
\(568\) 0.347296 + 1.96962i 0.0145722 + 0.0826432i
\(569\) −40.0000 −1.67689 −0.838444 0.544988i \(-0.816534\pi\)
−0.838444 + 0.544988i \(0.816534\pi\)
\(570\) 0 0
\(571\) −28.0000 −1.17176 −0.585882 0.810397i \(-0.699252\pi\)
−0.585882 + 0.810397i \(0.699252\pi\)
\(572\) 0.347296 + 1.96962i 0.0145212 + 0.0823538i
\(573\) 5.36231 4.49951i 0.224014 0.187970i
\(574\) 22.5526 8.20848i 0.941328 0.342615i
\(575\) 10.3366 + 3.76222i 0.431067 + 0.156895i
\(576\) −1.53209 1.28558i −0.0638370 0.0535656i
\(577\) 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
\(579\) 1.04189 5.90885i 0.0432994 0.245563i
\(580\) −3.47296 + 19.6962i −0.144207 + 0.817838i
\(581\) 9.00000 + 15.5885i 0.373383 + 0.646718i
\(582\) 1.00000 1.73205i 0.0414513 0.0717958i
\(583\) 1.53209 + 1.28558i 0.0634526 + 0.0532431i
\(584\) 8.45723 + 3.07818i 0.349963 + 0.127376i
\(585\) −7.51754 + 2.73616i −0.310812 + 0.113126i
\(586\) 6.89440 5.78509i 0.284805 0.238980i
\(587\) −2.08378 11.8177i −0.0860067 0.487768i −0.997135 0.0756451i \(-0.975898\pi\)
0.911128 0.412123i \(-0.135213\pi\)
\(588\) 2.00000 0.0824786
\(589\) 0 0
\(590\) −60.0000 −2.47016
\(591\) 1.38919 + 7.87846i 0.0571435 + 0.324077i
\(592\) 1.53209 1.28558i 0.0629685 0.0528368i
\(593\) −31.9495 + 11.6287i −1.31201 + 0.477533i −0.900890 0.434048i \(-0.857085\pi\)
−0.411121 + 0.911581i \(0.634863\pi\)
\(594\) −9.39693 3.42020i −0.385561 0.140333i
\(595\) −27.5776 23.1404i −1.13057 0.948662i
\(596\) 0 0
\(597\) 12.5000 + 21.6506i 0.511591 + 0.886102i
\(598\) 0.173648 0.984808i 0.00710100 0.0402718i
\(599\) 0 0 −0.984808 0.173648i \(-0.944444\pi\)
0.984808 + 0.173648i \(0.0555556\pi\)
\(600\) 5.50000 + 9.52628i 0.224537 + 0.388909i
\(601\) −4.00000 + 6.92820i −0.163163 + 0.282607i −0.936002 0.351996i \(-0.885503\pi\)
0.772838 + 0.634603i \(0.218836\pi\)
\(602\) −9.19253 7.71345i −0.374660 0.314377i
\(603\) −5.63816 2.05212i −0.229603 0.0835688i
\(604\) 1.87939 0.684040i 0.0764711 0.0278332i
\(605\) 21.4492 17.9981i 0.872036 0.731725i
\(606\) −0.347296 1.96962i −0.0141080 0.0800102i
\(607\) 22.0000 0.892952 0.446476 0.894795i \(-0.352679\pi\)
0.446476 + 0.894795i \(0.352679\pi\)
\(608\) 0 0
\(609\) 15.0000 0.607831
\(610\) 1.38919 + 7.87846i 0.0562465 + 0.318990i
\(611\) 6.12836 5.14230i 0.247927 0.208035i
\(612\) 5.63816 2.05212i 0.227909 0.0829521i
\(613\) −31.9495 11.6287i −1.29043 0.469678i −0.396562 0.918008i \(-0.629797\pi\)
−0.893868 + 0.448330i \(0.852019\pi\)
\(614\) −9.19253 7.71345i −0.370980 0.311290i
\(615\) 16.0000 27.7128i 0.645182 1.11749i
\(616\) 3.00000 + 5.19615i 0.120873 + 0.209359i
\(617\) 3.12567 17.7265i 0.125835 0.713644i −0.854974 0.518671i \(-0.826427\pi\)
0.980809 0.194973i \(-0.0624619\pi\)
\(618\) −1.04189 + 5.90885i −0.0419109 + 0.237689i
\(619\) −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
\(621\) 3.83022 + 3.21394i 0.153702 + 0.128971i
\(622\) 6.57785 + 2.39414i 0.263748 + 0.0959963i
\(623\) 0 0
\(624\) 0.766044 0.642788i 0.0306663 0.0257321i
\(625\) 7.11958 + 40.3771i 0.284783 + 1.61508i
\(626\) −29.0000 −1.15907
\(627\) 0 0
\(628\) −2.00000 −0.0798087
\(629\) 1.04189 + 5.90885i 0.0415428 + 0.235601i
\(630\) −18.3851 + 15.4269i −0.732479 + 0.614623i
\(631\) −30.0702 + 10.9446i −1.19707 + 0.435699i −0.862202 0.506564i \(-0.830915\pi\)
−0.334872 + 0.942264i \(0.608693\pi\)
\(632\) 9.39693 + 3.42020i 0.373790 + 0.136048i
\(633\) −20.6832 17.3553i −0.822083 0.689810i
\(634\) 13.5000 23.3827i 0.536153 0.928645i
\(635\) −36.0000 62.3538i −1.42862 2.47444i
\(636\) 0.173648 0.984808i 0.00688560 0.0390502i
\(637\) 0.347296 1.96962i 0.0137604 0.0780390i
\(638\) 5.00000 + 8.66025i 0.197952 + 0.342863i
\(639\) −2.00000 + 3.46410i −0.0791188 + 0.137038i
\(640\) 3.06418 + 2.57115i 0.121122 + 0.101634i
\(641\) 39.4671 + 14.3648i 1.55886 + 0.567377i 0.970474 0.241206i \(-0.0775428\pi\)
0.588382 + 0.808583i \(0.299765\pi\)
\(642\) 6.57785 2.39414i 0.259607 0.0944892i
\(643\) −19.9172 + 16.7125i −0.785456 + 0.659076i −0.944616 0.328177i \(-0.893566\pi\)
0.159160 + 0.987253i \(0.449121\pi\)
\(644\) −0.520945 2.95442i −0.0205281 0.116421i
\(645\) −16.0000 −0.629999
\(646\) 0 0
\(647\) 23.0000 0.904223 0.452112 0.891961i \(-0.350671\pi\)
0.452112 + 0.891961i \(0.350671\pi\)
\(648\) −0.173648 0.984808i −0.00682154 0.0386869i
\(649\) −22.9813 + 19.2836i −0.902096 + 0.756949i
\(650\) 10.3366 3.76222i 0.405436 0.147566i
\(651\) −22.5526 8.20848i −0.883907 0.321716i
\(652\) −12.2567 10.2846i −0.480010 0.402776i
\(653\) 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
\(655\) −8.33511 + 47.2708i −0.325680 + 1.84702i
\(656\) 1.38919 7.87846i 0.0542386 0.307602i
\(657\) 9.00000 + 15.5885i 0.351123 + 0.608164i
\(658\) 12.0000 20.7846i 0.467809 0.810268i
\(659\) −3.83022 3.21394i −0.149204 0.125197i 0.565130 0.825002i \(-0.308826\pi\)
−0.714334 + 0.699805i \(0.753270\pi\)
\(660\) 7.51754 + 2.73616i 0.292620 + 0.106505i
\(661\) −21.6129 + 7.86646i −0.840646 + 0.305970i −0.726220 0.687462i \(-0.758725\pi\)
−0.114425 + 0.993432i \(0.536503\pi\)
\(662\) 13.0228 10.9274i 0.506144 0.424705i
\(663\) 0.520945 + 2.95442i 0.0202318 + 0.114740i
\(664\) 6.00000 0.232845
\(665\) 0 0
\(666\) 4.00000 0.154997
\(667\) −0.868241 4.92404i −0.0336184 0.190660i
\(668\) 9.19253 7.71345i 0.355670 0.298442i
\(669\) 13.1557 4.78828i 0.508629 0.185126i
\(670\) 11.2763 + 4.10424i 0.435642 + 0.158561i
\(671\) 3.06418 + 2.57115i 0.118291 + 0.0992582i
\(672\) 1.50000 2.59808i 0.0578638 0.100223i
\(673\) 22.0000 + 38.1051i 0.848038 + 1.46884i 0.882957 + 0.469454i \(0.155549\pi\)
−0.0349191 + 0.999390i \(0.511117\pi\)
\(674\) −5.55674 + 31.5138i −0.214038 + 1.21387i
\(675\) −9.55065 + 54.1644i −0.367605 + 2.08479i
\(676\) 6.00000 + 10.3923i 0.230769 + 0.399704i
\(677\) 6.50000 11.2583i 0.249815 0.432693i −0.713659 0.700493i \(-0.752963\pi\)
0.963474 + 0.267800i \(0.0862968\pi\)
\(678\) 10.7246 + 8.99903i 0.411877 + 0.345606i
\(679\) −5.63816 2.05212i −0.216373 0.0787532i
\(680\) −11.2763 + 4.10424i −0.432427 + 0.157390i
\(681\) 13.0228 10.9274i 0.499033 0.418738i
\(682\) −2.77837 15.7569i −0.106389 0.603364i
\(683\) −4.00000 −0.153056 −0.0765279 0.997067i \(-0.524383\pi\)
−0.0765279 + 0.997067i \(0.524383\pi\)
\(684\) 0 0
\(685\) 68.0000 2.59815
\(686\) 2.60472 + 14.7721i 0.0994488 + 0.564002i
\(687\) −7.66044 + 6.42788i −0.292264 + 0.245239i
\(688\) −3.75877 + 1.36808i −0.143302 + 0.0521576i
\(689\) −0.939693 0.342020i −0.0357994 0.0130299i
\(690\) −3.06418 2.57115i −0.116651 0.0978820i
\(691\) −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
\(693\) −2.08378 + 11.8177i −0.0791562 + 0.448917i
\(694\) 0.347296 1.96962i 0.0131832 0.0747656i
\(695\) 0 0
\(696\) 2.50000 4.33013i 0.0947623 0.164133i
\(697\) 18.3851 + 15.4269i 0.696384 + 0.584336i
\(698\) 9.39693 + 3.42020i 0.355679 + 0.129457i
\(699\) 5.63816 2.05212i 0.213255 0.0776183i
\(700\) 25.2795 21.2120i 0.955474 0.801738i
\(701\) −4.86215 27.5746i −0.183641 1.04148i −0.927689 0.373353i \(-0.878208\pi\)
0.744048 0.668126i \(-0.232903\pi\)
\(702\) 5.00000 0.188713
\(703\) 0 0
\(704\) 2.00000 0.0753778
\(705\) −5.55674 31.5138i −0.209279 1.18688i
\(706\) −6.89440 + 5.78509i −0.259474 + 0.217725i
\(707\) −5.63816 + 2.05212i −0.212045 + 0.0771779i
\(708\) 14.0954 + 5.13030i 0.529737 + 0.192809i
\(709\) −22.9813 19.2836i −0.863082 0.724212i 0.0995477 0.995033i \(-0.468260\pi\)
−0.962630 + 0.270821i \(0.912705\pi\)
\(710\) 4.00000 6.92820i 0.150117 0.260011i
\(711\) 10.0000 + 17.3205i 0.375029 + 0.649570i
\(712\) 0 0
\(713\) −1.38919 + 7.87846i −0.0520254 + 0.295051i
\(714\) 4.50000 + 7.79423i 0.168408 + 0.291692i
\(715\) 4.00000 6.92820i 0.149592 0.259100i
\(716\) 0 0
\(717\) −14.0954 5.13030i −0.526402 0.191595i
\(718\) −14.0954 + 5.13030i −0.526035 + 0.191461i
\(719\) −3.83022 + 3.21394i −0.142843 + 0.119860i −0.711409 0.702778i \(-0.751943\pi\)
0.568566 + 0.822638i \(0.307498\pi\)
\(720\) 1.38919 + 7.87846i 0.0517719 + 0.293613i
\(721\) 18.0000 0.670355
\(722\) 0 0
\(723\) 8.00000 0.297523
\(724\) −3.82026 21.6658i −0.141979 0.805202i
\(725\) 42.1324 35.3533i 1.56476 1.31299i
\(726\) −6.57785 + 2.39414i −0.244127 + 0.0888549i
\(727\) 15.9748 + 5.81434i 0.592472 + 0.215642i 0.620816 0.783956i \(-0.286801\pi\)
−0.0283446 + 0.999598i \(0.509024\pi\)
\(728\) −2.29813 1.92836i −0.0851745 0.0714699i
\(729\) −6.50000 + 11.2583i −0.240741 + 0.416975i
\(730\) −18.0000 31.1769i −0.666210 1.15391i
\(731\) 2.08378 11.8177i 0.0770713 0.437093i
\(732\) 0.347296 1.96962i 0.0128364 0.0727991i
\(733\) 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
\(735\) −6.12836 5.14230i −0.226048 0.189677i
\(736\) −0.939693 0.342020i −0.0346375 0.0126070i
\(737\) 5.63816 2.05212i 0.207684 0.0755908i
\(738\) 12.2567 10.2846i 0.451176 0.378581i
\(739\) −6.94593 39.3923i −0.255510 1.44907i −0.794760 0.606924i \(-0.792403\pi\)
0.539250 0.842146i \(-0.318708\pi\)
\(740\) −8.00000 −0.294086
\(741\) 0 0
\(742\) −3.00000 −0.110133
\(743\) 2.77837 + 15.7569i 0.101929 + 0.578065i 0.992403 + 0.123032i \(0.0392617\pi\)
−0.890474 + 0.455034i \(0.849627\pi\)
\(744\) −6.12836 + 5.14230i −0.224676 + 0.188526i
\(745\) 0 0
\(746\) −27.2511 9.91858i −0.997733 0.363145i
\(747\) 9.19253 + 7.71345i 0.336337 + 0.282220i
\(748\) −3.00000 + 5.19615i −0.109691 + 0.189990i
\(749\) −10.5000 18.1865i −0.383662 0.664521i
\(750\) 4.16756 23.6354i 0.152178 0.863042i
\(751\) −5.55674 + 31.5138i −0.202768 + 1.14996i 0.698145 + 0.715957i \(0.254009\pi\)
−0.900913 + 0.434000i \(0.857102\pi\)
\(752\) −4.00000 6.92820i −0.145865 0.252646i
\(753\) −1.00000 + 1.73205i −0.0364420 + 0.0631194i
\(754\) −3.83022 3.21394i −0.139488 0.117045i
\(755\) −7.51754 2.73616i −0.273591 0.0995791i
\(756\) 14.0954 5.13030i 0.512644 0.186587i
\(757\) −1.53209 + 1.28558i −0.0556847 + 0.0467250i −0.670205 0.742176i \(-0.733794\pi\)
0.614521 + 0.788901i \(0.289349\pi\)
\(758\) 2.60472 + 14.7721i 0.0946078 + 0.536547i
\(759\) −2.00000 −0.0725954
\(760\) 0 0
\(761\) 27.0000 0.978749 0.489375 0.872074i \(-0.337225\pi\)
0.489375 + 0.872074i \(0.337225\pi\)
\(762\) 3.12567 + 17.7265i 0.113231 + 0.642165i
\(763\) 34.4720 28.9254i 1.24797 1.04717i
\(764\) −6.57785 + 2.39414i −0.237978 + 0.0866170i
\(765\) −22.5526 8.20848i −0.815392 0.296778i
\(766\) −19.9172 16.7125i −0.719636 0.603846i
\(767\) 7.50000 12.9904i 0.270809 0.469055i
\(768\) −0.500000 0.866025i −0.0180422 0.0312500i
\(769\) −6.07769 + 34.4683i −0.219167 + 1.24296i 0.654360 + 0.756183i \(0.272938\pi\)
−0.873527 + 0.486775i \(0.838173\pi\)
\(770\) 4.16756 23.6354i 0.150188 0.851760i
\(771\) 4.00000 + 6.92820i 0.144056 + 0.249513i
\(772\) −3.00000 + 5.19615i −0.107972 + 0.187014i
\(773\) −6.89440 5.78509i −0.247974 0.208075i 0.510325 0.859982i \(-0.329525\pi\)
−0.758299 + 0.651906i \(0.773970\pi\)
\(774\) −7.51754 2.73616i −0.270212 0.0983493i
\(775\) −82.6930 + 30.0978i −2.97042 + 1.08114i
\(776\) −1.53209 + 1.28558i −0.0549988 + 0.0461495i
\(777\) 1.04189 + 5.90885i 0.0373776 + 0.211979i
\(778\) 30.0000 1.07555
\(779\) 0 0
\(780\) −4.00000 −0.143223
\(781\) −0.694593 3.93923i −0.0248545 0.140957i