Properties

Label 930.2.o.e.161.14
Level $930$
Weight $2$
Character 930.161
Analytic conductor $7.426$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(20\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 161.14
Character \(\chi\) \(=\) 930.161
Dual form 930.2.o.e.491.4

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000i q^{2} +(-0.449207 + 1.67279i) q^{3} -1.00000 q^{4} +(-0.866025 - 0.500000i) q^{5} +(-1.67279 - 0.449207i) q^{6} +(-1.32225 - 2.29021i) q^{7} -1.00000i q^{8} +(-2.59643 - 1.50285i) q^{9} +O(q^{10})\) \(q+1.00000i q^{2} +(-0.449207 + 1.67279i) q^{3} -1.00000 q^{4} +(-0.866025 - 0.500000i) q^{5} +(-1.67279 - 0.449207i) q^{6} +(-1.32225 - 2.29021i) q^{7} -1.00000i q^{8} +(-2.59643 - 1.50285i) q^{9} +(0.500000 - 0.866025i) q^{10} +(1.35563 - 2.34802i) q^{11} +(0.449207 - 1.67279i) q^{12} +(3.49868 + 2.01996i) q^{13} +(2.29021 - 1.32225i) q^{14} +(1.22542 - 1.22407i) q^{15} +1.00000 q^{16} +(-0.370882 - 0.642386i) q^{17} +(1.50285 - 2.59643i) q^{18} +(1.17674 + 2.03818i) q^{19} +(0.866025 + 0.500000i) q^{20} +(4.42499 - 1.18307i) q^{21} +(2.34802 + 1.35563i) q^{22} +3.17723 q^{23} +(1.67279 + 0.449207i) q^{24} +(0.500000 + 0.866025i) q^{25} +(-2.01996 + 3.49868i) q^{26} +(3.68029 - 3.66817i) q^{27} +(1.32225 + 2.29021i) q^{28} -1.11630 q^{29} +(1.22407 + 1.22542i) q^{30} +(4.10522 + 3.76128i) q^{31} +1.00000i q^{32} +(3.31878 + 3.32243i) q^{33} +(0.642386 - 0.370882i) q^{34} +2.64450i q^{35} +(2.59643 + 1.50285i) q^{36} +(8.66260 - 5.00135i) q^{37} +(-2.03818 + 1.17674i) q^{38} +(-4.95060 + 4.94516i) q^{39} +(-0.500000 + 0.866025i) q^{40} +(-4.56104 - 2.63332i) q^{41} +(1.18307 + 4.42499i) q^{42} +(4.20794 - 2.42945i) q^{43} +(-1.35563 + 2.34802i) q^{44} +(1.49714 + 2.59972i) q^{45} +3.17723i q^{46} +3.29156i q^{47} +(-0.449207 + 1.67279i) q^{48} +(0.00329675 - 0.00571013i) q^{49} +(-0.866025 + 0.500000i) q^{50} +(1.24118 - 0.331842i) q^{51} +(-3.49868 - 2.01996i) q^{52} +(-0.432136 + 0.748481i) q^{53} +(3.66817 + 3.68029i) q^{54} +(-2.34802 + 1.35563i) q^{55} +(-2.29021 + 1.32225i) q^{56} +(-3.93803 + 1.05287i) q^{57} -1.11630i q^{58} +(0.0673682 - 0.0388951i) q^{59} +(-1.22542 + 1.22407i) q^{60} -8.21375i q^{61} +(-3.76128 + 4.10522i) q^{62} +(-0.00871827 + 7.93351i) q^{63} -1.00000 q^{64} +(-2.01996 - 3.49868i) q^{65} +(-3.32243 + 3.31878i) q^{66} +(4.09060 - 7.08512i) q^{67} +(0.370882 + 0.642386i) q^{68} +(-1.42723 + 5.31482i) q^{69} -2.64450 q^{70} +(-11.6252 - 6.71183i) q^{71} +(-1.50285 + 2.59643i) q^{72} +(9.24020 + 5.33483i) q^{73} +(5.00135 + 8.66260i) q^{74} +(-1.67328 + 0.447368i) q^{75} +(-1.17674 - 2.03818i) q^{76} -7.16994 q^{77} +(-4.94516 - 4.95060i) q^{78} +(-10.5492 + 6.09057i) q^{79} +(-0.866025 - 0.500000i) q^{80} +(4.48286 + 7.80410i) q^{81} +(2.63332 - 4.56104i) q^{82} +(2.44932 - 4.24235i) q^{83} +(-4.42499 + 1.18307i) q^{84} +0.741764i q^{85} +(2.42945 + 4.20794i) q^{86} +(0.501450 - 1.86733i) q^{87} +(-2.34802 - 1.35563i) q^{88} +17.1663 q^{89} +(-2.59972 + 1.49714i) q^{90} -10.6836i q^{91} -3.17723 q^{92} +(-8.13590 + 5.17756i) q^{93} -3.29156 q^{94} -2.35348i q^{95} +(-1.67279 - 0.449207i) q^{96} +12.4034 q^{97} +(0.00571013 + 0.00329675i) q^{98} +(-7.04853 + 4.05915i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q + 6q^{3} - 40q^{4} - 12q^{7} - 2q^{9} + O(q^{10}) \) \( 40q + 6q^{3} - 40q^{4} - 12q^{7} - 2q^{9} + 20q^{10} - 6q^{12} - 12q^{13} + 40q^{16} - 12q^{18} - 12q^{19} + 12q^{21} - 24q^{22} + 20q^{25} + 12q^{28} + 8q^{31} + 52q^{33} + 24q^{34} + 2q^{36} + 60q^{37} - 8q^{39} - 20q^{40} + 12q^{42} + 24q^{43} - 12q^{45} + 6q^{48} - 4q^{49} + 14q^{51} + 12q^{52} + 24q^{55} - 12q^{57} - 40q^{64} + 8q^{66} + 64q^{67} - 26q^{69} - 24q^{70} + 12q^{72} + 6q^{75} + 12q^{76} - 68q^{78} - 48q^{79} + 2q^{81} + 4q^{82} - 12q^{84} + 36q^{87} + 24q^{88} + 2q^{90} - 22q^{93} - 40q^{94} + 8q^{97} - 90q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000i 0.707107i
\(3\) −0.449207 + 1.67279i −0.259350 + 0.965783i
\(4\) −1.00000 −0.500000
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) −1.67279 0.449207i −0.682912 0.183388i
\(7\) −1.32225 2.29021i −0.499764 0.865617i 0.500236 0.865889i \(-0.333247\pi\)
−1.00000 0.000271954i \(0.999913\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −2.59643 1.50285i −0.865475 0.500951i
\(10\) 0.500000 0.866025i 0.158114 0.273861i
\(11\) 1.35563 2.34802i 0.408738 0.707955i −0.586011 0.810303i \(-0.699302\pi\)
0.994749 + 0.102348i \(0.0326356\pi\)
\(12\) 0.449207 1.67279i 0.129675 0.482892i
\(13\) 3.49868 + 2.01996i 0.970359 + 0.560237i 0.899346 0.437238i \(-0.144043\pi\)
0.0710136 + 0.997475i \(0.477377\pi\)
\(14\) 2.29021 1.32225i 0.612084 0.353387i
\(15\) 1.22542 1.22407i 0.316401 0.316054i
\(16\) 1.00000 0.250000
\(17\) −0.370882 0.642386i −0.0899521 0.155802i 0.817539 0.575874i \(-0.195338\pi\)
−0.907491 + 0.420072i \(0.862005\pi\)
\(18\) 1.50285 2.59643i 0.354226 0.611984i
\(19\) 1.17674 + 2.03818i 0.269963 + 0.467590i 0.968852 0.247641i \(-0.0796552\pi\)
−0.698889 + 0.715230i \(0.746322\pi\)
\(20\) 0.866025 + 0.500000i 0.193649 + 0.111803i
\(21\) 4.42499 1.18307i 0.965613 0.258167i
\(22\) 2.34802 + 1.35563i 0.500600 + 0.289021i
\(23\) 3.17723 0.662498 0.331249 0.943543i \(-0.392530\pi\)
0.331249 + 0.943543i \(0.392530\pi\)
\(24\) 1.67279 + 0.449207i 0.341456 + 0.0916940i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) −2.01996 + 3.49868i −0.396148 + 0.686148i
\(27\) 3.68029 3.66817i 0.708271 0.705940i
\(28\) 1.32225 + 2.29021i 0.249882 + 0.432809i
\(29\) −1.11630 −0.207292 −0.103646 0.994614i \(-0.533051\pi\)
−0.103646 + 0.994614i \(0.533051\pi\)
\(30\) 1.22407 + 1.22542i 0.223484 + 0.223730i
\(31\) 4.10522 + 3.76128i 0.737319 + 0.675545i
\(32\) 1.00000i 0.176777i
\(33\) 3.31878 + 3.32243i 0.577725 + 0.578360i
\(34\) 0.642386 0.370882i 0.110168 0.0636057i
\(35\) 2.64450i 0.447003i
\(36\) 2.59643 + 1.50285i 0.432738 + 0.250476i
\(37\) 8.66260 5.00135i 1.42412 0.822218i 0.427475 0.904027i \(-0.359403\pi\)
0.996648 + 0.0818097i \(0.0260700\pi\)
\(38\) −2.03818 + 1.17674i −0.330636 + 0.190893i
\(39\) −4.95060 + 4.94516i −0.792730 + 0.791860i
\(40\) −0.500000 + 0.866025i −0.0790569 + 0.136931i
\(41\) −4.56104 2.63332i −0.712315 0.411255i 0.0996025 0.995027i \(-0.468243\pi\)
−0.811918 + 0.583772i \(0.801576\pi\)
\(42\) 1.18307 + 4.42499i 0.182551 + 0.682791i
\(43\) 4.20794 2.42945i 0.641704 0.370488i −0.143567 0.989641i \(-0.545857\pi\)
0.785271 + 0.619153i \(0.212524\pi\)
\(44\) −1.35563 + 2.34802i −0.204369 + 0.353978i
\(45\) 1.49714 + 2.59972i 0.223181 + 0.387544i
\(46\) 3.17723i 0.468457i
\(47\) 3.29156i 0.480123i 0.970758 + 0.240061i \(0.0771676\pi\)
−0.970758 + 0.240061i \(0.922832\pi\)
\(48\) −0.449207 + 1.67279i −0.0648374 + 0.241446i
\(49\) 0.00329675 0.00571013i 0.000470964 0.000815734i
\(50\) −0.866025 + 0.500000i −0.122474 + 0.0707107i
\(51\) 1.24118 0.331842i 0.173800 0.0464671i
\(52\) −3.49868 2.01996i −0.485180 0.280119i
\(53\) −0.432136 + 0.748481i −0.0593584 + 0.102812i −0.894178 0.447712i \(-0.852239\pi\)
0.834819 + 0.550524i \(0.185572\pi\)
\(54\) 3.66817 + 3.68029i 0.499175 + 0.500824i
\(55\) −2.34802 + 1.35563i −0.316607 + 0.182793i
\(56\) −2.29021 + 1.32225i −0.306042 + 0.176693i
\(57\) −3.93803 + 1.05287i −0.521605 + 0.139457i
\(58\) 1.11630i 0.146577i
\(59\) 0.0673682 0.0388951i 0.00877060 0.00506371i −0.495608 0.868546i \(-0.665055\pi\)
0.504379 + 0.863482i \(0.331721\pi\)
\(60\) −1.22542 + 1.22407i −0.158201 + 0.158027i
\(61\) 8.21375i 1.05166i −0.850589 0.525832i \(-0.823754\pi\)
0.850589 0.525832i \(-0.176246\pi\)
\(62\) −3.76128 + 4.10522i −0.477682 + 0.521363i
\(63\) −0.00871827 + 7.93351i −0.00109840 + 0.999528i
\(64\) −1.00000 −0.125000
\(65\) −2.01996 3.49868i −0.250546 0.433958i
\(66\) −3.32243 + 3.31878i −0.408963 + 0.408513i
\(67\) 4.09060 7.08512i 0.499746 0.865586i −0.500254 0.865879i \(-0.666760\pi\)
1.00000 0.000293150i \(9.33126e-5\pi\)
\(68\) 0.370882 + 0.642386i 0.0449760 + 0.0779008i
\(69\) −1.42723 + 5.31482i −0.171819 + 0.639830i
\(70\) −2.64450 −0.316079
\(71\) −11.6252 6.71183i −1.37966 0.796548i −0.387543 0.921852i \(-0.626676\pi\)
−0.992118 + 0.125304i \(0.960009\pi\)
\(72\) −1.50285 + 2.59643i −0.177113 + 0.305992i
\(73\) 9.24020 + 5.33483i 1.08148 + 0.624395i 0.931296 0.364262i \(-0.118679\pi\)
0.150188 + 0.988657i \(0.452012\pi\)
\(74\) 5.00135 + 8.66260i 0.581396 + 1.00701i
\(75\) −1.67328 + 0.447368i −0.193214 + 0.0516577i
\(76\) −1.17674 2.03818i −0.134982 0.233795i
\(77\) −7.16994 −0.817091
\(78\) −4.94516 4.95060i −0.559929 0.560545i
\(79\) −10.5492 + 6.09057i −1.18688 + 0.685243i −0.957595 0.288118i \(-0.906971\pi\)
−0.229280 + 0.973360i \(0.573637\pi\)
\(80\) −0.866025 0.500000i −0.0968246 0.0559017i
\(81\) 4.48286 + 7.80410i 0.498095 + 0.867122i
\(82\) 2.63332 4.56104i 0.290801 0.503683i
\(83\) 2.44932 4.24235i 0.268848 0.465659i −0.699716 0.714421i \(-0.746690\pi\)
0.968565 + 0.248762i \(0.0800237\pi\)
\(84\) −4.42499 + 1.18307i −0.482806 + 0.129083i
\(85\) 0.741764i 0.0804556i
\(86\) 2.42945 + 4.20794i 0.261975 + 0.453753i
\(87\) 0.501450 1.86733i 0.0537611 0.200199i
\(88\) −2.34802 1.35563i −0.250300 0.144511i
\(89\) 17.1663 1.81962 0.909811 0.415022i \(-0.136226\pi\)
0.909811 + 0.415022i \(0.136226\pi\)
\(90\) −2.59972 + 1.49714i −0.274035 + 0.157813i
\(91\) 10.6836i 1.11995i
\(92\) −3.17723 −0.331249
\(93\) −8.13590 + 5.17756i −0.843654 + 0.536888i
\(94\) −3.29156 −0.339498
\(95\) 2.35348i 0.241462i
\(96\) −1.67279 0.449207i −0.170728 0.0458470i
\(97\) 12.4034 1.25938 0.629689 0.776847i \(-0.283182\pi\)
0.629689 + 0.776847i \(0.283182\pi\)
\(98\) 0.00571013 + 0.00329675i 0.000576811 + 0.000333022i
\(99\) −7.04853 + 4.05915i −0.708404 + 0.407960i
\(100\) −0.500000 0.866025i −0.0500000 0.0866025i
\(101\) 0.291018i 0.0289574i 0.999895 + 0.0144787i \(0.00460888\pi\)
−0.999895 + 0.0144787i \(0.995391\pi\)
\(102\) 0.331842 + 1.24118i 0.0328572 + 0.122895i
\(103\) 3.02724 5.24333i 0.298283 0.516641i −0.677460 0.735559i \(-0.736919\pi\)
0.975743 + 0.218918i \(0.0702528\pi\)
\(104\) 2.01996 3.49868i 0.198074 0.343074i
\(105\) −4.42369 1.18793i −0.431708 0.115930i
\(106\) −0.748481 0.432136i −0.0726989 0.0419727i
\(107\) −4.83678 + 2.79252i −0.467590 + 0.269963i −0.715230 0.698889i \(-0.753678\pi\)
0.247641 + 0.968852i \(0.420345\pi\)
\(108\) −3.68029 + 3.66817i −0.354136 + 0.352970i
\(109\) 7.74239 0.741587 0.370793 0.928715i \(-0.379086\pi\)
0.370793 + 0.928715i \(0.379086\pi\)
\(110\) −1.35563 2.34802i −0.129254 0.223875i
\(111\) 4.47490 + 16.7373i 0.424738 + 1.58864i
\(112\) −1.32225 2.29021i −0.124941 0.216404i
\(113\) 5.97390 + 3.44903i 0.561978 + 0.324458i 0.753939 0.656945i \(-0.228151\pi\)
−0.191961 + 0.981402i \(0.561485\pi\)
\(114\) −1.05287 3.93803i −0.0986107 0.368831i
\(115\) −2.75156 1.58861i −0.256584 0.148139i
\(116\) 1.11630 0.103646
\(117\) −6.04835 10.5027i −0.559171 0.970974i
\(118\) 0.0388951 + 0.0673682i 0.00358058 + 0.00620175i
\(119\) −0.980799 + 1.69879i −0.0899097 + 0.155728i
\(120\) −1.22407 1.22542i −0.111742 0.111865i
\(121\) 1.82453 + 3.16018i 0.165866 + 0.287289i
\(122\) 8.21375 0.743638
\(123\) 6.45383 6.44674i 0.581922 0.581283i
\(124\) −4.10522 3.76128i −0.368659 0.337772i
\(125\) 1.00000i 0.0894427i
\(126\) −7.93351 0.00871827i −0.706773 0.000776685i
\(127\) 6.24347 3.60467i 0.554019 0.319863i −0.196723 0.980459i \(-0.563030\pi\)
0.750741 + 0.660596i \(0.229696\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) 2.17372 + 8.13030i 0.191385 + 0.715833i
\(130\) 3.49868 2.01996i 0.306855 0.177163i
\(131\) −13.4418 + 7.76065i −1.17442 + 0.678051i −0.954717 0.297516i \(-0.903842\pi\)
−0.219702 + 0.975567i \(0.570509\pi\)
\(132\) −3.31878 3.32243i −0.288863 0.289180i
\(133\) 3.11190 5.38997i 0.269836 0.467369i
\(134\) 7.08512 + 4.09060i 0.612061 + 0.353374i
\(135\) −5.02131 + 1.33659i −0.432165 + 0.115035i
\(136\) −0.642386 + 0.370882i −0.0550842 + 0.0318029i
\(137\) 9.07490 15.7182i 0.775321 1.34290i −0.159293 0.987231i \(-0.550921\pi\)
0.934614 0.355664i \(-0.115745\pi\)
\(138\) −5.31482 1.42723i −0.452428 0.121494i
\(139\) 20.3716i 1.72789i 0.503583 + 0.863947i \(0.332015\pi\)
−0.503583 + 0.863947i \(0.667985\pi\)
\(140\) 2.64450i 0.223501i
\(141\) −5.50607 1.47859i −0.463695 0.124520i
\(142\) 6.71183 11.6252i 0.563244 0.975568i
\(143\) 9.48584 5.47665i 0.793246 0.457981i
\(144\) −2.59643 1.50285i −0.216369 0.125238i
\(145\) 0.966745 + 0.558150i 0.0802838 + 0.0463519i
\(146\) −5.33483 + 9.24020i −0.441514 + 0.764725i
\(147\) 0.00807091 + 0.00807979i 0.000665678 + 0.000666410i
\(148\) −8.66260 + 5.00135i −0.712061 + 0.411109i
\(149\) 6.93481 4.00381i 0.568122 0.328005i −0.188277 0.982116i \(-0.560290\pi\)
0.756399 + 0.654111i \(0.226957\pi\)
\(150\) −0.447368 1.67328i −0.0365275 0.136623i
\(151\) 7.40096i 0.602282i −0.953580 0.301141i \(-0.902633\pi\)
0.953580 0.301141i \(-0.0973674\pi\)
\(152\) 2.03818 1.17674i 0.165318 0.0954463i
\(153\) −0.00244541 + 2.22529i −0.000197700 + 0.179904i
\(154\) 7.16994i 0.577771i
\(155\) −1.67459 5.30997i −0.134506 0.426507i
\(156\) 4.95060 4.94516i 0.396365 0.395930i
\(157\) 2.41698 0.192896 0.0964482 0.995338i \(-0.469252\pi\)
0.0964482 + 0.995338i \(0.469252\pi\)
\(158\) −6.09057 10.5492i −0.484540 0.839247i
\(159\) −1.05793 1.05909i −0.0838993 0.0839916i
\(160\) 0.500000 0.866025i 0.0395285 0.0684653i
\(161\) −4.20110 7.27652i −0.331093 0.573470i
\(162\) −7.80410 + 4.48286i −0.613148 + 0.352207i
\(163\) −25.1648 −1.97106 −0.985532 0.169492i \(-0.945787\pi\)
−0.985532 + 0.169492i \(0.945787\pi\)
\(164\) 4.56104 + 2.63332i 0.356158 + 0.205628i
\(165\) −1.21293 4.53670i −0.0944267 0.353181i
\(166\) 4.24235 + 2.44932i 0.329270 + 0.190104i
\(167\) −11.2639 19.5096i −0.871624 1.50970i −0.860316 0.509762i \(-0.829734\pi\)
−0.0113086 0.999936i \(-0.503600\pi\)
\(168\) −1.18307 4.42499i −0.0912757 0.341396i
\(169\) 1.66051 + 2.87609i 0.127731 + 0.221237i
\(170\) −0.741764 −0.0568907
\(171\) 0.00775884 7.06044i 0.000593333 0.539926i
\(172\) −4.20794 + 2.42945i −0.320852 + 0.185244i
\(173\) 7.33403 + 4.23431i 0.557596 + 0.321928i 0.752180 0.658958i \(-0.229002\pi\)
−0.194584 + 0.980886i \(0.562336\pi\)
\(174\) 1.86733 + 0.501450i 0.141562 + 0.0380148i
\(175\) 1.32225 2.29021i 0.0999529 0.173123i
\(176\) 1.35563 2.34802i 0.102185 0.176989i
\(177\) 0.0348009 + 0.130165i 0.00261579 + 0.00978377i
\(178\) 17.1663i 1.28667i
\(179\) −8.32290 14.4157i −0.622083 1.07748i −0.989097 0.147264i \(-0.952953\pi\)
0.367014 0.930215i \(-0.380380\pi\)
\(180\) −1.49714 2.59972i −0.111591 0.193772i
\(181\) −2.86960 1.65676i −0.213296 0.123146i 0.389547 0.921007i \(-0.372632\pi\)
−0.602842 + 0.797861i \(0.705965\pi\)
\(182\) 10.6836 0.791922
\(183\) 13.7399 + 3.68968i 1.01568 + 0.272749i
\(184\) 3.17723i 0.234228i
\(185\) −10.0027 −0.735414
\(186\) −5.17756 8.13590i −0.379637 0.596553i
\(187\) −2.01112 −0.147067
\(188\) 3.29156i 0.240061i
\(189\) −13.2671 3.57837i −0.965043 0.260288i
\(190\) 2.35348 0.170740
\(191\) −2.56932 1.48340i −0.185909 0.107335i 0.404157 0.914690i \(-0.367565\pi\)
−0.590066 + 0.807355i \(0.700898\pi\)
\(192\) 0.449207 1.67279i 0.0324187 0.120723i
\(193\) 6.42312 + 11.1252i 0.462346 + 0.800807i 0.999077 0.0429465i \(-0.0136745\pi\)
−0.536731 + 0.843753i \(0.680341\pi\)
\(194\) 12.4034i 0.890515i
\(195\) 6.75993 1.80734i 0.484088 0.129426i
\(196\) −0.00329675 + 0.00571013i −0.000235482 + 0.000407867i
\(197\) 6.44071 11.1556i 0.458881 0.794806i −0.540021 0.841652i \(-0.681584\pi\)
0.998902 + 0.0468458i \(0.0149169\pi\)
\(198\) −4.05915 7.04853i −0.288471 0.500917i
\(199\) 8.97201 + 5.17999i 0.636009 + 0.367200i 0.783075 0.621927i \(-0.213650\pi\)
−0.147067 + 0.989127i \(0.546983\pi\)
\(200\) 0.866025 0.500000i 0.0612372 0.0353553i
\(201\) 10.0144 + 10.0254i 0.706359 + 0.707136i
\(202\) −0.291018 −0.0204760
\(203\) 1.47603 + 2.55656i 0.103597 + 0.179435i
\(204\) −1.24118 + 0.331842i −0.0868998 + 0.0232336i
\(205\) 2.63332 + 4.56104i 0.183919 + 0.318557i
\(206\) 5.24333 + 3.02724i 0.365320 + 0.210918i
\(207\) −8.24944 4.77491i −0.573376 0.331879i
\(208\) 3.49868 + 2.01996i 0.242590 + 0.140059i
\(209\) 6.38091 0.441377
\(210\) 1.18793 4.42369i 0.0819750 0.305264i
\(211\) 2.42025 + 4.19199i 0.166617 + 0.288588i 0.937228 0.348717i \(-0.113382\pi\)
−0.770612 + 0.637305i \(0.780049\pi\)
\(212\) 0.432136 0.748481i 0.0296792 0.0514059i
\(213\) 16.4496 16.4315i 1.12711 1.12587i
\(214\) −2.79252 4.83678i −0.190893 0.330636i
\(215\) −4.85891 −0.331375
\(216\) −3.66817 3.68029i −0.249588 0.250412i
\(217\) 3.18597 14.3752i 0.216278 0.975849i
\(218\) 7.74239i 0.524381i
\(219\) −13.0748 + 13.0604i −0.883513 + 0.882543i
\(220\) 2.34802 1.35563i 0.158304 0.0913966i
\(221\) 2.99667i 0.201578i
\(222\) −16.7373 + 4.47490i −1.12334 + 0.300335i
\(223\) 7.55204 4.36017i 0.505722 0.291979i −0.225351 0.974278i \(-0.572353\pi\)
0.731073 + 0.682299i \(0.239020\pi\)
\(224\) 2.29021 1.32225i 0.153021 0.0883467i
\(225\) 0.00329675 3.00000i 0.000219783 0.200000i
\(226\) −3.44903 + 5.97390i −0.229426 + 0.397378i
\(227\) 11.0216 + 6.36331i 0.731528 + 0.422348i 0.818981 0.573821i \(-0.194539\pi\)
−0.0874527 + 0.996169i \(0.527873\pi\)
\(228\) 3.93803 1.05287i 0.260803 0.0697283i
\(229\) −0.300311 + 0.173385i −0.0198451 + 0.0114576i −0.509890 0.860240i \(-0.670314\pi\)
0.490045 + 0.871697i \(0.336980\pi\)
\(230\) 1.58861 2.75156i 0.104750 0.181433i
\(231\) 3.22079 11.9938i 0.211912 0.789133i
\(232\) 1.11630i 0.0732887i
\(233\) 3.05182i 0.199931i 0.994991 + 0.0999657i \(0.0318733\pi\)
−0.994991 + 0.0999657i \(0.968127\pi\)
\(234\) 10.5027 6.04835i 0.686583 0.395393i
\(235\) 1.64578 2.85057i 0.107359 0.185951i
\(236\) −0.0673682 + 0.0388951i −0.00438530 + 0.00253185i
\(237\) −5.44946 20.3824i −0.353980 1.32398i
\(238\) −1.69879 0.980799i −0.110116 0.0635758i
\(239\) −6.34019 + 10.9815i −0.410113 + 0.710336i −0.994902 0.100850i \(-0.967844\pi\)
0.584789 + 0.811185i \(0.301177\pi\)
\(240\) 1.22542 1.22407i 0.0791004 0.0790135i
\(241\) −17.6091 + 10.1666i −1.13430 + 0.654890i −0.945013 0.327032i \(-0.893952\pi\)
−0.189289 + 0.981921i \(0.560618\pi\)
\(242\) −3.16018 + 1.82453i −0.203144 + 0.117285i
\(243\) −15.0683 + 3.99321i −0.966633 + 0.256164i
\(244\) 8.21375i 0.525832i
\(245\) −0.00571013 + 0.00329675i −0.000364807 + 0.000210621i
\(246\) 6.44674 + 6.45383i 0.411029 + 0.411481i
\(247\) 9.50790i 0.604973i
\(248\) 3.76128 4.10522i 0.238841 0.260682i
\(249\) 5.99630 + 6.00289i 0.380000 + 0.380418i
\(250\) 1.00000 0.0632456
\(251\) −8.05449 13.9508i −0.508395 0.880565i −0.999953 0.00972062i \(-0.996906\pi\)
0.491558 0.870845i \(-0.336428\pi\)
\(252\) 0.00871827 7.93351i 0.000549199 0.499764i
\(253\) 4.30715 7.46020i 0.270788 0.469019i
\(254\) 3.60467 + 6.24347i 0.226177 + 0.391750i
\(255\) −1.24081 0.333205i −0.0777027 0.0208661i
\(256\) 1.00000 0.0625000
\(257\) −17.9053 10.3376i −1.11690 0.644843i −0.176293 0.984338i \(-0.556411\pi\)
−0.940608 + 0.339494i \(0.889744\pi\)
\(258\) −8.13030 + 2.17372i −0.506171 + 0.135330i
\(259\) −22.9083 13.2261i −1.42345 0.821830i
\(260\) 2.01996 + 3.49868i 0.125273 + 0.216979i
\(261\) 2.89839 + 1.67764i 0.179406 + 0.103843i
\(262\) −7.76065 13.4418i −0.479455 0.830440i
\(263\) −16.8210 −1.03723 −0.518613 0.855009i \(-0.673551\pi\)
−0.518613 + 0.855009i \(0.673551\pi\)
\(264\) 3.32243 3.31878i 0.204481 0.204257i
\(265\) 0.748481 0.432136i 0.0459788 0.0265459i
\(266\) 5.38997 + 3.11190i 0.330480 + 0.190803i
\(267\) −7.71121 + 28.7155i −0.471919 + 1.75736i
\(268\) −4.09060 + 7.08512i −0.249873 + 0.432793i
\(269\) 3.65752 6.33501i 0.223003 0.386252i −0.732716 0.680535i \(-0.761747\pi\)
0.955718 + 0.294283i \(0.0950807\pi\)
\(270\) −1.33659 5.02131i −0.0813422 0.305587i
\(271\) 4.32372i 0.262647i −0.991340 0.131324i \(-0.958077\pi\)
0.991340 0.131324i \(-0.0419227\pi\)
\(272\) −0.370882 0.642386i −0.0224880 0.0389504i
\(273\) 17.8714 + 4.79915i 1.08163 + 0.290458i
\(274\) 15.7182 + 9.07490i 0.949570 + 0.548235i
\(275\) 2.71126 0.163495
\(276\) 1.42723 5.31482i 0.0859093 0.319915i
\(277\) 12.3568i 0.742447i −0.928544 0.371223i \(-0.878938\pi\)
0.928544 0.371223i \(-0.121062\pi\)
\(278\) −20.3716 −1.22181
\(279\) −5.00625 15.9354i −0.299716 0.954028i
\(280\) 2.64450 0.158039
\(281\) 2.26737i 0.135260i −0.997710 0.0676300i \(-0.978456\pi\)
0.997710 0.0676300i \(-0.0215437\pi\)
\(282\) 1.47859 5.50607i 0.0880488 0.327882i
\(283\) 4.78042 0.284166 0.142083 0.989855i \(-0.454620\pi\)
0.142083 + 0.989855i \(0.454620\pi\)
\(284\) 11.6252 + 6.71183i 0.689831 + 0.398274i
\(285\) 3.93687 + 1.05720i 0.233200 + 0.0626232i
\(286\) 5.47665 + 9.48584i 0.323841 + 0.560909i
\(287\) 13.9277i 0.822123i
\(288\) 1.50285 2.59643i 0.0885565 0.152996i
\(289\) 8.22489 14.2459i 0.483817 0.837996i
\(290\) −0.558150 + 0.966745i −0.0327757 + 0.0567692i
\(291\) −5.57171 + 20.7483i −0.326619 + 1.21629i
\(292\) −9.24020 5.33483i −0.540742 0.312198i
\(293\) −16.4722 + 9.51024i −0.962318 + 0.555594i −0.896886 0.442263i \(-0.854176\pi\)
−0.0654320 + 0.997857i \(0.520843\pi\)
\(294\) −0.00807979 + 0.00807091i −0.000471223 + 0.000470705i
\(295\) −0.0777901 −0.00452912
\(296\) −5.00135 8.66260i −0.290698 0.503503i
\(297\) −3.62384 13.6141i −0.210277 0.789969i
\(298\) 4.00381 + 6.93481i 0.231935 + 0.401723i
\(299\) 11.1161 + 6.41789i 0.642861 + 0.371156i
\(300\) 1.67328 0.447368i 0.0966068 0.0258288i
\(301\) −11.1279 6.42470i −0.641402 0.370314i
\(302\) 7.40096 0.425877
\(303\) −0.486812 0.130728i −0.0279666 0.00751010i
\(304\) 1.17674 + 2.03818i 0.0674908 + 0.116897i
\(305\) −4.10688 + 7.11332i −0.235159 + 0.407308i
\(306\) −2.22529 0.00244541i −0.127211 0.000139795i
\(307\) −14.0713 24.3721i −0.803089 1.39099i −0.917574 0.397566i \(-0.869855\pi\)
0.114485 0.993425i \(-0.463478\pi\)
\(308\) 7.16994 0.408546
\(309\) 7.41112 + 7.41927i 0.421604 + 0.422067i
\(310\) 5.30997 1.67459i 0.301586 0.0951100i
\(311\) 34.7697i 1.97161i 0.167895 + 0.985805i \(0.446303\pi\)
−0.167895 + 0.985805i \(0.553697\pi\)
\(312\) 4.94516 + 4.95060i 0.279965 + 0.280272i
\(313\) −13.4245 + 7.75065i −0.758799 + 0.438093i −0.828864 0.559450i \(-0.811013\pi\)
0.0700654 + 0.997542i \(0.477679\pi\)
\(314\) 2.41698i 0.136398i
\(315\) 3.97431 6.86626i 0.223927 0.386870i
\(316\) 10.5492 6.09057i 0.593438 0.342621i
\(317\) 4.29014 2.47691i 0.240958 0.139117i −0.374659 0.927163i \(-0.622240\pi\)
0.615617 + 0.788045i \(0.288907\pi\)
\(318\) 1.05909 1.05793i 0.0593910 0.0593258i
\(319\) −1.51329 + 2.62110i −0.0847281 + 0.146753i
\(320\) 0.866025 + 0.500000i 0.0484123 + 0.0279508i
\(321\) −2.49857 9.34533i −0.139457 0.521605i
\(322\) 7.27652 4.20110i 0.405504 0.234118i
\(323\) 0.872864 1.51185i 0.0485675 0.0841213i
\(324\) −4.48286 7.80410i −0.249048 0.433561i
\(325\) 4.03993i 0.224095i
\(326\) 25.1648i 1.39375i
\(327\) −3.47794 + 12.9514i −0.192330 + 0.716212i
\(328\) −2.63332 + 4.56104i −0.145401 + 0.251841i
\(329\) 7.53835 4.35227i 0.415603 0.239948i
\(330\) 4.53670 1.21293i 0.249737 0.0667698i
\(331\) −1.63849 0.945983i −0.0900596 0.0519959i 0.454294 0.890852i \(-0.349892\pi\)
−0.544353 + 0.838856i \(0.683225\pi\)
\(332\) −2.44932 + 4.24235i −0.134424 + 0.232829i
\(333\) −30.0081 0.0329764i −1.64443 0.00180710i
\(334\) 19.5096 11.2639i 1.06752 0.616331i
\(335\) −7.08512 + 4.09060i −0.387102 + 0.223493i
\(336\) 4.42499 1.18307i 0.241403 0.0645416i
\(337\) 27.5245i 1.49936i 0.661802 + 0.749678i \(0.269792\pi\)
−0.661802 + 0.749678i \(0.730208\pi\)
\(338\) −2.87609 + 1.66051i −0.156438 + 0.0903198i
\(339\) −8.45302 + 8.44373i −0.459105 + 0.458601i
\(340\) 0.741764i 0.0402278i
\(341\) 14.3967 4.54024i 0.779626 0.245868i
\(342\) 7.06044 + 0.00775884i 0.381785 + 0.000419550i
\(343\) −18.5290 −1.00047
\(344\) −2.42945 4.20794i −0.130987 0.226877i
\(345\) 3.89343 3.88916i 0.209615 0.209385i
\(346\) −4.23431 + 7.33403i −0.227638 + 0.394280i
\(347\) 12.1983 + 21.1281i 0.654841 + 1.13422i 0.981934 + 0.189226i \(0.0605978\pi\)
−0.327092 + 0.944992i \(0.606069\pi\)
\(348\) −0.501450 + 1.86733i −0.0268805 + 0.100100i
\(349\) −7.97476 −0.426879 −0.213440 0.976956i \(-0.568467\pi\)
−0.213440 + 0.976956i \(0.568467\pi\)
\(350\) 2.29021 + 1.32225i 0.122417 + 0.0706774i
\(351\) 20.2857 5.39972i 1.08277 0.288216i
\(352\) 2.34802 + 1.35563i 0.125150 + 0.0722554i
\(353\) 17.7462 + 30.7372i 0.944533 + 1.63598i 0.756684 + 0.653781i \(0.226818\pi\)
0.187848 + 0.982198i \(0.439849\pi\)
\(354\) −0.130165 + 0.0348009i −0.00691817 + 0.00184964i
\(355\) 6.71183 + 11.6252i 0.356227 + 0.617003i
\(356\) −17.1663 −0.909811
\(357\) −2.40114 2.40378i −0.127082 0.127221i
\(358\) 14.4157 8.32290i 0.761893 0.439879i
\(359\) −8.61779 4.97548i −0.454830 0.262596i 0.255038 0.966931i \(-0.417912\pi\)
−0.709868 + 0.704335i \(0.751245\pi\)
\(360\) 2.59972 1.49714i 0.137017 0.0789064i
\(361\) 6.73056 11.6577i 0.354240 0.613562i
\(362\) 1.65676 2.86960i 0.0870775 0.150823i
\(363\) −6.10590 + 1.63247i −0.320476 + 0.0856827i
\(364\) 10.6836i 0.559973i
\(365\) −5.33483 9.24020i −0.279238 0.483654i
\(366\) −3.68968 + 13.7399i −0.192862 + 0.718194i
\(367\) 4.15155 + 2.39690i 0.216709 + 0.125117i 0.604426 0.796662i \(-0.293403\pi\)
−0.387716 + 0.921779i \(0.626736\pi\)
\(368\) 3.17723 0.165624
\(369\) 7.88492 + 13.6918i 0.410472 + 0.712767i
\(370\) 10.0027i 0.520016i
\(371\) 2.28557 0.118661
\(372\) 8.13590 5.17756i 0.421827 0.268444i
\(373\) −23.1098 −1.19658 −0.598289 0.801280i \(-0.704153\pi\)
−0.598289 + 0.801280i \(0.704153\pi\)
\(374\) 2.01112i 0.103992i
\(375\) 1.67279 + 0.449207i 0.0863823 + 0.0231969i
\(376\) 3.29156 0.169749
\(377\) −3.90558 2.25489i −0.201148 0.116133i
\(378\) 3.57837 13.2671i 0.184052 0.682388i
\(379\) −0.565702 0.979824i −0.0290582 0.0503302i 0.851131 0.524954i \(-0.175917\pi\)
−0.880189 + 0.474624i \(0.842584\pi\)
\(380\) 2.35348i 0.120731i
\(381\) 3.22523 + 12.0632i 0.165234 + 0.618018i
\(382\) 1.48340 2.56932i 0.0758971 0.131458i
\(383\) 1.85664 3.21579i 0.0948697 0.164319i −0.814685 0.579904i \(-0.803090\pi\)
0.909554 + 0.415585i \(0.136423\pi\)
\(384\) 1.67279 + 0.449207i 0.0853640 + 0.0229235i
\(385\) 6.20935 + 3.58497i 0.316458 + 0.182707i
\(386\) −11.1252 + 6.42312i −0.566256 + 0.326928i
\(387\) −14.5767 0.0160186i −0.740976 0.000814271i
\(388\) −12.4034 −0.629689
\(389\) 4.87542 + 8.44448i 0.247194 + 0.428152i 0.962746 0.270407i \(-0.0871583\pi\)
−0.715552 + 0.698559i \(0.753825\pi\)
\(390\) 1.80734 + 6.75993i 0.0915180 + 0.342302i
\(391\) −1.17838 2.04101i −0.0595931 0.103218i
\(392\) −0.00571013 0.00329675i −0.000288405 0.000166511i
\(393\) −6.94374 25.9715i −0.350265 1.31009i
\(394\) 11.1556 + 6.44071i 0.562013 + 0.324478i
\(395\) 12.1811 0.612900
\(396\) 7.04853 4.05915i 0.354202 0.203980i
\(397\) −5.53921 9.59420i −0.278005 0.481519i 0.692884 0.721049i \(-0.256340\pi\)
−0.970889 + 0.239530i \(0.923007\pi\)
\(398\) −5.17999 + 8.97201i −0.259650 + 0.449726i
\(399\) 7.61837 + 7.62675i 0.381396 + 0.381815i
\(400\) 0.500000 + 0.866025i 0.0250000 + 0.0433013i
\(401\) 0.963613 0.0481205 0.0240603 0.999711i \(-0.492341\pi\)
0.0240603 + 0.999711i \(0.492341\pi\)
\(402\) −10.0254 + 10.0144i −0.500021 + 0.499471i
\(403\) 6.76520 + 21.4519i 0.336999 + 1.06859i
\(404\) 0.291018i 0.0144787i
\(405\) 0.0197805 8.99998i 0.000982900 0.447213i
\(406\) −2.55656 + 1.47603i −0.126880 + 0.0732542i
\(407\) 27.1200i 1.34429i
\(408\) −0.331842 1.24118i −0.0164286 0.0614474i
\(409\) −3.39020 + 1.95733i −0.167635 + 0.0967838i −0.581470 0.813568i \(-0.697522\pi\)
0.413835 + 0.910352i \(0.364189\pi\)
\(410\) −4.56104 + 2.63332i −0.225254 + 0.130050i
\(411\) 22.2167 + 22.2411i 1.09587 + 1.09707i
\(412\) −3.02724 + 5.24333i −0.149141 + 0.258321i
\(413\) −0.178156 0.102858i −0.00876647 0.00506132i
\(414\) 4.77491 8.24944i 0.234674 0.405438i
\(415\) −4.24235 + 2.44932i −0.208249 + 0.120233i
\(416\) −2.01996 + 3.49868i −0.0990369 + 0.171537i
\(417\) −34.0773 9.15105i −1.66877 0.448129i
\(418\) 6.38091i 0.312100i
\(419\) 6.12859i 0.299401i 0.988731 + 0.149701i \(0.0478310\pi\)
−0.988731 + 0.149701i \(0.952169\pi\)
\(420\) 4.42369 + 1.18793i 0.215854 + 0.0579650i
\(421\) −6.31725 + 10.9418i −0.307884 + 0.533271i −0.977899 0.209077i \(-0.932954\pi\)
0.670015 + 0.742347i \(0.266288\pi\)
\(422\) −4.19199 + 2.42025i −0.204063 + 0.117816i
\(423\) 4.94673 8.54629i 0.240518 0.415535i
\(424\) 0.748481 + 0.432136i 0.0363495 + 0.0209864i
\(425\) 0.370882 0.642386i 0.0179904 0.0311603i
\(426\) 16.4315 + 16.4496i 0.796110 + 0.796985i
\(427\) −18.8112 + 10.8607i −0.910338 + 0.525584i
\(428\) 4.83678 2.79252i 0.233795 0.134982i
\(429\) 4.90016 + 18.3279i 0.236582 + 0.884881i
\(430\) 4.85891i 0.234317i
\(431\) 24.8975 14.3746i 1.19927 0.692399i 0.238878 0.971050i \(-0.423220\pi\)
0.960393 + 0.278650i \(0.0898871\pi\)
\(432\) 3.68029 3.66817i 0.177068 0.176485i
\(433\) 7.12270i 0.342295i −0.985245 0.171148i \(-0.945252\pi\)
0.985245 0.171148i \(-0.0547475\pi\)
\(434\) 14.3752 + 3.18597i 0.690030 + 0.152931i
\(435\) −1.36793 + 1.36643i −0.0655874 + 0.0655154i
\(436\) −7.74239 −0.370793
\(437\) 3.73878 + 6.47575i 0.178850 + 0.309777i
\(438\) −13.0604 13.0748i −0.624052 0.624738i
\(439\) 16.5785 28.7148i 0.791248 1.37048i −0.133946 0.990989i \(-0.542765\pi\)
0.925194 0.379494i \(-0.123902\pi\)
\(440\) 1.35563 + 2.34802i 0.0646272 + 0.111938i
\(441\) −0.0171413 + 0.00987141i −0.000816251 + 0.000470067i
\(442\) 2.99667 0.142537
\(443\) 23.1960 + 13.3922i 1.10207 + 0.636283i 0.936765 0.349959i \(-0.113804\pi\)
0.165310 + 0.986242i \(0.447138\pi\)
\(444\) −4.47490 16.7373i −0.212369 0.794318i
\(445\) −14.8664 8.58314i −0.704737 0.406880i
\(446\) 4.36017 + 7.55204i 0.206460 + 0.357599i
\(447\) 3.58236 + 13.3990i 0.169440 + 0.633751i
\(448\) 1.32225 + 2.29021i 0.0624706 + 0.108202i
\(449\) −24.5175 −1.15705 −0.578527 0.815663i \(-0.696372\pi\)
−0.578527 + 0.815663i \(0.696372\pi\)
\(450\) 3.00000 + 0.00329675i 0.141421 + 0.000155410i
\(451\) −12.3662 + 7.13962i −0.582301 + 0.336191i
\(452\) −5.97390 3.44903i −0.280989 0.162229i
\(453\) 12.3802 + 3.32456i 0.581674 + 0.156202i
\(454\) −6.36331 + 11.0216i −0.298645 + 0.517269i
\(455\) −5.34180 + 9.25228i −0.250428 + 0.433753i
\(456\) 1.05287 + 3.93803i 0.0493053 + 0.184415i
\(457\) 8.46145i 0.395810i 0.980221 + 0.197905i \(0.0634137\pi\)
−0.980221 + 0.197905i \(0.936586\pi\)
\(458\) −0.173385 0.300311i −0.00810174 0.0140326i
\(459\) −3.72134 1.00371i −0.173697 0.0468490i
\(460\) 2.75156 + 1.58861i 0.128292 + 0.0740695i
\(461\) 10.2584 0.477779 0.238890 0.971047i \(-0.423217\pi\)
0.238890 + 0.971047i \(0.423217\pi\)
\(462\) 11.9938 + 3.22079i 0.558001 + 0.149845i
\(463\) 16.4580i 0.764870i 0.923982 + 0.382435i \(0.124914\pi\)
−0.923982 + 0.382435i \(0.875086\pi\)
\(464\) −1.11630 −0.0518230
\(465\) 9.63468 0.415948i 0.446797 0.0192891i
\(466\) −3.05182 −0.141373
\(467\) 21.7403i 1.00602i 0.864281 + 0.503010i \(0.167774\pi\)
−0.864281 + 0.503010i \(0.832226\pi\)
\(468\) 6.04835 + 10.5027i 0.279585 + 0.485487i
\(469\) −21.6352 −0.999021
\(470\) 2.85057 + 1.64578i 0.131487 + 0.0759141i
\(471\) −1.08573 + 4.04310i −0.0500276 + 0.186296i
\(472\) −0.0388951 0.0673682i −0.00179029 0.00310087i
\(473\) 13.1738i 0.605730i
\(474\) 20.3824 5.44946i 0.936197 0.250302i
\(475\) −1.17674 + 2.03818i −0.0539926 + 0.0935179i
\(476\) 0.980799 1.69879i 0.0449548 0.0778641i
\(477\) 2.24687 1.29394i 0.102877 0.0592454i
\(478\) −10.9815 6.34019i −0.502283 0.289993i
\(479\) 16.4488 9.49670i 0.751563 0.433915i −0.0746954 0.997206i \(-0.523798\pi\)
0.826258 + 0.563291i \(0.190465\pi\)
\(480\) 1.22407 + 1.22542i 0.0558710 + 0.0559324i
\(481\) 40.4102 1.84255
\(482\) −10.1666 17.6091i −0.463077 0.802073i
\(483\) 14.0592 3.75888i 0.639716 0.171035i
\(484\) −1.82453 3.16018i −0.0829332 0.143645i
\(485\) −10.7417 6.20172i −0.487755 0.281606i
\(486\) −3.99321 15.0683i −0.181136 0.683513i
\(487\) 21.3554 + 12.3295i 0.967704 + 0.558704i 0.898535 0.438901i \(-0.144632\pi\)
0.0691683 + 0.997605i \(0.477965\pi\)
\(488\) −8.21375 −0.371819
\(489\) 11.3042 42.0954i 0.511195 1.90362i
\(490\) −0.00329675 0.00571013i −0.000148932 0.000257958i
\(491\) −13.0832 + 22.6608i −0.590438 + 1.02267i 0.403735 + 0.914876i \(0.367712\pi\)
−0.994173 + 0.107793i \(0.965622\pi\)
\(492\) −6.45383 + 6.44674i −0.290961 + 0.290642i
\(493\) 0.414016 + 0.717096i 0.0186463 + 0.0322964i
\(494\) −9.50790 −0.427781
\(495\) 8.13378 + 0.00893835i 0.365586 + 0.000401749i
\(496\) 4.10522 + 3.76128i 0.184330 + 0.168886i
\(497\) 35.4989i 1.59235i
\(498\) −6.00289 + 5.99630i −0.268996 + 0.268700i
\(499\) −25.4093 + 14.6701i −1.13748 + 0.656722i −0.945804 0.324737i \(-0.894724\pi\)
−0.191672 + 0.981459i \(0.561391\pi\)
\(500\) 1.00000i 0.0447214i
\(501\) 37.6952 10.0782i 1.68410 0.450261i
\(502\) 13.9508 8.05449i 0.622654 0.359489i
\(503\) 6.14219 3.54620i 0.273867 0.158117i −0.356777 0.934190i \(-0.616124\pi\)
0.630644 + 0.776073i \(0.282791\pi\)
\(504\) 7.93351 + 0.00871827i 0.353387 + 0.000388342i
\(505\) 0.145509 0.252029i 0.00647508 0.0112152i
\(506\) 7.46020 + 4.30715i 0.331646 + 0.191476i
\(507\) −5.55699 + 1.48572i −0.246795 + 0.0659831i
\(508\) −6.24347 + 3.60467i −0.277009 + 0.159931i
\(509\) −11.2332 + 19.4565i −0.497903 + 0.862393i −0.999997 0.00241974i \(-0.999230\pi\)
0.502094 + 0.864813i \(0.332563\pi\)
\(510\) 0.333205 1.24081i 0.0147546 0.0549441i
\(511\) 28.2160i 1.24820i
\(512\) 1.00000i 0.0441942i
\(513\) 11.8071 + 3.18458i 0.521297 + 0.140603i
\(514\) 10.3376 17.9053i 0.455973 0.789769i
\(515\) −5.24333 + 3.02724i −0.231049 + 0.133396i
\(516\) −2.17372 8.13030i −0.0956927 0.357917i
\(517\) 7.72865 + 4.46214i 0.339905 + 0.196245i
\(518\) 13.2261 22.9083i 0.581122 1.00653i
\(519\) −10.3776 + 10.3662i −0.455525 + 0.455025i
\(520\) −3.49868 + 2.01996i −0.153427 + 0.0885813i
\(521\) −24.2738 + 14.0145i −1.06346 + 0.613986i −0.926386 0.376575i \(-0.877102\pi\)
−0.137069 + 0.990561i \(0.543768\pi\)
\(522\) −1.67764 + 2.89839i −0.0734282 + 0.126859i
\(523\) 22.8974i 1.00123i −0.865669 0.500617i \(-0.833107\pi\)
0.865669 0.500617i \(-0.166893\pi\)
\(524\) 13.4418 7.76065i 0.587210 0.339026i
\(525\) 3.23706 + 3.24062i 0.141277 + 0.141432i
\(526\) 16.8210i 0.733429i
\(527\) 0.893641 4.03212i 0.0389276 0.175642i
\(528\) 3.31878 + 3.32243i 0.144431 + 0.144590i
\(529\) −12.9052 −0.561097
\(530\) 0.432136 + 0.748481i 0.0187708 + 0.0325119i
\(531\) −0.233370 0.000256455i −0.0101274 1.11292e-5i
\(532\) −3.11190 + 5.38997i −0.134918 + 0.233685i
\(533\) −10.6384 18.4263i −0.460801 0.798131i
\(534\) −28.7155 7.71121i −1.24264 0.333697i
\(535\) 5.58504 0.241462
\(536\) −7.08512 4.09060i −0.306031 0.176687i
\(537\) 27.8531 7.44681i 1.20195 0.321353i
\(538\) 6.33501 + 3.65752i 0.273122 + 0.157687i
\(539\) −0.00893835 0.0154817i −0.000385002 0.000666843i
\(540\) 5.02131 1.33659i 0.216083 0.0575176i
\(541\) −6.55194 11.3483i −0.281690 0.487901i 0.690111 0.723703i \(-0.257562\pi\)
−0.971801 + 0.235802i \(0.924228\pi\)
\(542\) 4.32372 0.185720
\(543\) 4.06045 4.05599i 0.174251 0.174059i
\(544\) 0.642386 0.370882i 0.0275421 0.0159014i
\(545\) −6.70511 3.87120i −0.287215 0.165824i
\(546\) −4.79915 + 17.8714i −0.205385 + 0.764825i
\(547\) −23.1238 + 40.0517i −0.988704 + 1.71249i −0.364552 + 0.931183i \(0.618778\pi\)
−0.624153 + 0.781302i \(0.714556\pi\)
\(548\) −9.07490 + 15.7182i −0.387661 + 0.671448i
\(549\) −12.3441 + 21.3264i −0.526832 + 0.910189i
\(550\) 2.71126i 0.115609i
\(551\) −1.31360 2.27522i −0.0559611 0.0969275i
\(552\) 5.31482 + 1.42723i 0.226214 + 0.0607471i
\(553\) 27.8974 + 16.1065i 1.18632 + 0.684920i
\(554\) 12.3568 0.524989
\(555\) 4.49329 16.7324i 0.190729 0.710250i
\(556\) 20.3716i 0.863947i
\(557\) 36.3726 1.54116 0.770579 0.637345i \(-0.219967\pi\)
0.770579 + 0.637345i \(0.219967\pi\)
\(558\) 15.9354 5.00625i 0.674600 0.211931i
\(559\) 19.6296 0.830245
\(560\) 2.64450i 0.111751i
\(561\) 0.903407 3.36417i 0.0381419 0.142035i
\(562\) 2.26737 0.0956432
\(563\) 19.8508 + 11.4609i 0.836613 + 0.483019i 0.856112 0.516791i \(-0.172874\pi\)
−0.0194982 + 0.999810i \(0.506207\pi\)
\(564\) 5.50607 + 1.47859i 0.231847 + 0.0622599i
\(565\) −3.44903 5.97390i −0.145102 0.251324i
\(566\) 4.78042i 0.200936i
\(567\) 11.9455 20.5857i 0.501666 0.864517i
\(568\) −6.71183 + 11.6252i −0.281622 + 0.487784i
\(569\) −6.04836 + 10.4761i −0.253561 + 0.439180i −0.964504 0.264070i \(-0.914935\pi\)
0.710943 + 0.703250i \(0.248268\pi\)
\(570\) −1.05720 + 3.93687i −0.0442813 + 0.164897i
\(571\) 32.0896 + 18.5270i 1.34291 + 0.775329i 0.987233 0.159281i \(-0.0509175\pi\)
0.355676 + 0.934609i \(0.384251\pi\)
\(572\) −9.48584 + 5.47665i −0.396623 + 0.228990i
\(573\) 3.63556 3.63157i 0.151878 0.151711i
\(574\) −13.9277 −0.581329
\(575\) 1.58861 + 2.75156i 0.0662498 + 0.114748i
\(576\) 2.59643 + 1.50285i 0.108184 + 0.0626189i
\(577\) 10.8409 + 18.7769i 0.451311 + 0.781693i 0.998468 0.0553370i \(-0.0176233\pi\)
−0.547157 + 0.837030i \(0.684290\pi\)
\(578\) 14.2459 + 8.22489i 0.592553 + 0.342110i
\(579\) −21.4953 + 5.74700i −0.893315 + 0.238837i
\(580\) −0.966745 0.558150i −0.0401419 0.0231759i
\(581\) −12.9545 −0.537443
\(582\) −20.7483 5.57171i −0.860045 0.230955i
\(583\) 1.17163 + 2.02933i 0.0485241 + 0.0840462i
\(584\) 5.33483 9.24020i 0.220757 0.382362i
\(585\) −0.0133186 + 12.1198i −0.000550657 + 0.501091i
\(586\) −9.51024 16.4722i −0.392864 0.680461i
\(587\) −34.2190 −1.41237 −0.706185 0.708027i \(-0.749585\pi\)
−0.706185 + 0.708027i \(0.749585\pi\)
\(588\) −0.00807091 0.00807979i −0.000332839 0.000333205i
\(589\) −2.83536 + 12.7932i −0.116829 + 0.527135i
\(590\) 0.0777901i 0.00320257i
\(591\) 15.7678 + 15.7851i 0.648600 + 0.649313i
\(592\) 8.66260 5.00135i 0.356031 0.205554i
\(593\) 22.8931i 0.940105i 0.882638 + 0.470053i \(0.155765\pi\)
−0.882638 + 0.470053i \(0.844235\pi\)
\(594\) 13.6141 3.62384i 0.558592 0.148688i
\(595\) 1.69879 0.980799i 0.0696437 0.0402088i
\(596\) −6.93481 + 4.00381i −0.284061 + 0.164003i
\(597\) −12.6953 + 12.6814i −0.519584 + 0.519014i
\(598\) −6.41789 + 11.1161i −0.262447 + 0.454571i
\(599\) −34.1667 19.7261i −1.39601 0.805988i −0.402041 0.915622i \(-0.631699\pi\)
−0.993972 + 0.109634i \(0.965032\pi\)
\(600\) 0.447368 + 1.67328i 0.0182637 + 0.0683113i
\(601\) 28.0179 16.1761i 1.14287 0.659838i 0.195732 0.980657i \(-0.437292\pi\)
0.947140 + 0.320820i \(0.103958\pi\)
\(602\) 6.42470 11.1279i 0.261851 0.453540i
\(603\) −21.2688 + 12.2484i −0.866134 + 0.498795i
\(604\) 7.40096i 0.301141i
\(605\) 3.64906i 0.148355i
\(606\) 0.130728 0.486812i 0.00531044 0.0197754i
\(607\) −7.33156 + 12.6986i −0.297579 + 0.515422i −0.975582 0.219638i \(-0.929513\pi\)
0.678002 + 0.735060i \(0.262846\pi\)
\(608\) −2.03818 + 1.17674i −0.0826590 + 0.0477232i
\(609\) −4.93962 + 1.32066i −0.200164 + 0.0535158i
\(610\) −7.11332 4.10688i −0.288010 0.166283i
\(611\) −6.64883 + 11.5161i −0.268983 + 0.465892i
\(612\) 0.00244541 2.22529i 9.88498e−5 0.0899520i
\(613\) −9.31317 + 5.37696i −0.376155 + 0.217173i −0.676144 0.736769i \(-0.736350\pi\)
0.299989 + 0.953943i \(0.403017\pi\)
\(614\) 24.3721 14.0713i 0.983579 0.567870i
\(615\) −8.81255 + 2.35613i −0.355356 + 0.0950082i
\(616\) 7.16994i 0.288885i
\(617\) 38.3757 22.1562i 1.54495 0.891975i 0.546431 0.837504i \(-0.315986\pi\)
0.998515 0.0544716i \(-0.0173474\pi\)
\(618\) −7.41927 + 7.41112i −0.298447 + 0.298119i
\(619\) 31.8706i 1.28099i 0.767963 + 0.640495i \(0.221271\pi\)
−0.767963 + 0.640495i \(0.778729\pi\)
\(620\) 1.67459 + 5.30997i 0.0672530 + 0.213253i
\(621\) 11.6931 11.6546i 0.469228 0.467684i
\(622\) −34.7697 −1.39414
\(623\) −22.6982 39.3144i −0.909383 1.57510i
\(624\) −4.95060 + 4.94516i −0.198183 + 0.197965i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −7.75065 13.4245i −0.309778 0.536552i
\(627\) −2.86635 + 10.6739i −0.114471 + 0.426274i
\(628\) −2.41698 −0.0964482
\(629\) −6.42560 3.70982i −0.256206 0.147920i
\(630\) 6.86626 + 3.97431i 0.273558 + 0.158340i
\(631\) −30.4987 17.6084i −1.21413 0.700980i −0.250476 0.968123i \(-0.580587\pi\)
−0.963657 + 0.267143i \(0.913920\pi\)
\(632\) 6.09057 + 10.5492i 0.242270 + 0.419624i
\(633\) −8.09949 + 2.16548i −0.321926 + 0.0860702i
\(634\) 2.47691 + 4.29014i 0.0983708 + 0.170383i
\(635\) −7.20934 −0.286094
\(636\) 1.05793 + 1.05909i 0.0419497 + 0.0419958i
\(637\) 0.0230685 0.0133186i 0.000914009 0.000527703i
\(638\) −2.62110 1.51329i −0.103770 0.0599118i
\(639\) 20.0972 + 34.8978i 0.795031 + 1.38054i
\(640\) −0.500000 + 0.866025i −0.0197642 + 0.0342327i
\(641\) −2.24960 + 3.89643i −0.0888540 + 0.153900i −0.907027 0.421073i \(-0.861654\pi\)
0.818173 + 0.574972i \(0.194987\pi\)
\(642\) 9.34533 2.49857i 0.368831 0.0986107i
\(643\) 7.11918i 0.280753i 0.990098 + 0.140376i \(0.0448313\pi\)
−0.990098 + 0.140376i \(0.955169\pi\)
\(644\) 4.20110 + 7.27652i 0.165546 + 0.286735i
\(645\) 2.18265 8.12791i 0.0859419 0.320036i
\(646\) 1.51185 + 0.872864i 0.0594827 + 0.0343424i
\(647\) 38.1767 1.50088 0.750441 0.660937i \(-0.229841\pi\)
0.750441 + 0.660937i \(0.229841\pi\)
\(648\) 7.80410 4.48286i 0.306574 0.176103i
\(649\) 0.210909i 0.00827892i
\(650\) −4.03993 −0.158459
\(651\) 22.6154 + 11.7869i 0.886368 + 0.461964i
\(652\) 25.1648 0.985532
\(653\) 31.6623i 1.23904i −0.784981 0.619520i \(-0.787327\pi\)
0.784981 0.619520i \(-0.212673\pi\)
\(654\) −12.9514 3.47794i −0.506439 0.135998i
\(655\) 15.5213 0.606468
\(656\) −4.56104 2.63332i −0.178079 0.102814i
\(657\) −15.9740 27.7382i −0.623206 1.08217i
\(658\) 4.35227 + 7.53835i 0.169669 + 0.293876i
\(659\) 23.6853i 0.922648i −0.887232 0.461324i \(-0.847375\pi\)
0.887232 0.461324i \(-0.152625\pi\)
\(660\) 1.21293 + 4.53670i 0.0472133 + 0.176591i
\(661\) 4.12220 7.13985i 0.160335 0.277708i −0.774654 0.632385i \(-0.782076\pi\)
0.934989 + 0.354677i \(0.115409\pi\)
\(662\) 0.945983 1.63849i 0.0367667 0.0636818i
\(663\) 5.01279 + 1.34613i 0.194681 + 0.0522792i
\(664\) −4.24235 2.44932i −0.164635 0.0950522i
\(665\) −5.38997 + 3.11190i −0.209014 + 0.120674i
\(666\) 0.0329764 30.0081i 0.00127781 1.16279i
\(667\) −3.54674 −0.137330
\(668\) 11.2639 + 19.5096i 0.435812 + 0.754849i
\(669\) 3.90121 + 14.5916i 0.150829 + 0.564142i
\(670\) −4.09060 7.08512i −0.158034 0.273722i
\(671\) −19.2861 11.1348i −0.744531 0.429855i
\(672\) 1.18307 + 4.42499i 0.0456378 + 0.170698i
\(673\) 9.26140 + 5.34707i 0.357001 + 0.206114i 0.667764 0.744373i \(-0.267251\pi\)
−0.310764 + 0.950487i \(0.600585\pi\)
\(674\) −27.5245 −1.06021
\(675\) 5.01687 + 1.35313i 0.193100 + 0.0520822i
\(676\) −1.66051 2.87609i −0.0638657 0.110619i
\(677\) 7.89992 13.6831i 0.303619 0.525883i −0.673334 0.739338i \(-0.735138\pi\)
0.976953 + 0.213455i \(0.0684718\pi\)
\(678\) −8.44373 8.45302i −0.324280 0.324636i
\(679\) −16.4005 28.4065i −0.629393 1.09014i
\(680\) 0.741764 0.0284453
\(681\) −15.5954 + 15.5783i −0.597618 + 0.596962i
\(682\) 4.54024 + 14.3967i 0.173855 + 0.551279i
\(683\) 34.5090i 1.32045i 0.751068 + 0.660224i \(0.229539\pi\)
−0.751068 + 0.660224i \(0.770461\pi\)
\(684\) −0.00775884 + 7.06044i −0.000296667 + 0.269963i
\(685\) −15.7182 + 9.07490i −0.600561 + 0.346734i
\(686\) 18.5290i 0.707439i
\(687\) −0.155134 0.580242i −0.00591872 0.0221376i
\(688\) 4.20794 2.42945i 0.160426 0.0926220i
\(689\) −3.02381 + 1.74580i −0.115198 + 0.0665096i
\(690\) 3.88916 + 3.89343i 0.148058 + 0.148220i
\(691\) 8.69755 15.0646i 0.330870 0.573084i −0.651813 0.758380i \(-0.725991\pi\)
0.982683 + 0.185296i \(0.0593244\pi\)
\(692\) −7.33403 4.23431i −0.278798 0.160964i
\(693\) 18.6162 + 10.7754i 0.707172 + 0.409323i
\(694\) −21.1281 + 12.1983i −0.802013 + 0.463043i
\(695\) 10.1858 17.6423i 0.386369 0.669210i
\(696\) −1.86733 0.501450i −0.0707810 0.0190074i
\(697\) 3.90660i 0.147973i
\(698\) 7.97476i 0.301849i
\(699\) −5.10504 1.37090i −0.193090 0.0518522i
\(700\) −1.32225 + 2.29021i −0.0499764 + 0.0865617i
\(701\) −14.1135 + 8.14843i −0.533060 + 0.307762i −0.742261 0.670110i \(-0.766247\pi\)
0.209202 + 0.977872i \(0.432913\pi\)
\(702\) 5.39972 + 20.2857i 0.203799 + 0.765635i
\(703\) 20.3873 + 11.7706i 0.768921 + 0.443937i
\(704\) −1.35563 + 2.34802i −0.0510923 + 0.0884944i
\(705\) 4.02910 + 4.03353i 0.151745 + 0.151912i
\(706\) −30.7372 + 17.7462i −1.15681 + 0.667885i
\(707\) 0.666493 0.384800i 0.0250660 0.0144719i
\(708\) −0.0348009 0.130165i −0.00130790 0.00489189i
\(709\) 34.3386i 1.28961i 0.764346 + 0.644807i \(0.223062\pi\)
−0.764346 + 0.644807i \(0.776938\pi\)
\(710\) −11.6252 + 6.71183i −0.436287 + 0.251891i
\(711\) 36.5434 + 0.0401581i 1.37048 + 0.00150605i
\(712\) 17.1663i 0.643334i
\(713\) 13.0432 + 11.9504i 0.488472 + 0.447547i
\(714\) 2.40378 2.40114i 0.0899591 0.0898603i
\(715\) −10.9533 −0.409630
\(716\) 8.32290 + 14.4157i 0.311041 + 0.538739i
\(717\) −15.5217 15.5388i −0.579668 0.580305i
\(718\) 4.97548 8.61779i 0.185683 0.321613i
\(719\) −12.9598 22.4470i −0.483319 0.837133i 0.516497 0.856289i \(-0.327236\pi\)
−0.999817 + 0.0191556i \(0.993902\pi\)
\(720\) 1.49714 + 2.59972i 0.0557953 + 0.0968860i
\(721\) −16.0111 −0.596285
\(722\) 11.6577 + 6.73056i 0.433854 + 0.250485i
\(723\) −9.09645 34.0232i −0.338301 1.26534i
\(724\) 2.86960 + 1.65676i 0.106648 + 0.0615731i
\(725\) −0.558150 0.966745i −0.0207292 0.0359040i
\(726\) −1.63247 6.10590i −0.0605868 0.226611i
\(727\) −5.51137 9.54597i −0.204405 0.354040i 0.745538 0.666463i \(-0.232193\pi\)
−0.949943 + 0.312423i \(0.898859\pi\)
\(728\) −10.6836 −0.395961
\(729\) 0.0890120 26.9999i 0.00329674 0.999995i
\(730\) 9.24020 5.33483i 0.341995 0.197451i
\(731\) −3.12129 1.80208i −0.115445 0.0666523i
\(732\) −13.7399 3.68968i −0.507840 0.136374i
\(733\) 23.9907 41.5531i 0.886116 1.53480i 0.0416867 0.999131i \(-0.486727\pi\)
0.844429 0.535667i \(-0.179940\pi\)
\(734\) −2.39690 + 4.15155i −0.0884711 + 0.153236i
\(735\) −0.00294972 0.0110328i −0.000108802 0.000406949i
\(736\) 3.17723i 0.117114i
\(737\) −11.0907 19.2096i −0.408531 0.707596i
\(738\) −13.6918 + 7.88492i −0.504002 + 0.290248i
\(739\) 27.7681 + 16.0319i 1.02147 + 0.589745i 0.914529 0.404521i \(-0.132562\pi\)
0.106939 + 0.994266i \(0.465895\pi\)
\(740\) 10.0027 0.367707
\(741\) −15.9047 4.27102i −0.584273 0.156900i
\(742\) 2.28557i 0.0839059i
\(743\) −25.3947 −0.931641 −0.465821 0.884879i \(-0.654241\pi\)
−0.465821 + 0.884879i \(0.654241\pi\)
\(744\) 5.17756 + 8.13590i 0.189819 + 0.298277i
\(745\) −8.00763 −0.293377
\(746\) 23.1098i 0.846109i
\(747\) −12.7351 + 7.33398i −0.465954 + 0.268336i
\(748\) 2.01112 0.0735337
\(749\) 12.7909 + 7.38483i 0.467369 + 0.269836i
\(750\) −0.449207 + 1.67279i −0.0164027 + 0.0610815i
\(751\) 9.23056 + 15.9878i 0.336828 + 0.583403i 0.983834 0.179082i \(-0.0573126\pi\)
−0.647006 + 0.762485i \(0.723979\pi\)
\(752\) 3.29156i 0.120031i
\(753\) 26.9548 7.20665i 0.982288 0.262625i
\(754\) 2.25489 3.90558i 0.0821181 0.142233i
\(755\) −3.70048 + 6.40942i −0.134674 + 0.233263i
\(756\) 13.2671 + 3.57837i 0.482522 + 0.130144i
\(757\) −36.5554 21.1053i −1.32863 0.767084i −0.343541 0.939138i \(-0.611627\pi\)
−0.985088 + 0.172053i \(0.944960\pi\)
\(758\) 0.979824 0.565702i 0.0355888 0.0205472i
\(759\) 10.5445 + 10.5561i 0.382742 + 0.383163i
\(760\) −2.35348 −0.0853698
\(761\) −0.562411 0.974124i −0.0203874 0.0353120i 0.855652 0.517552i \(-0.173157\pi\)
−0.876039 + 0.482240i \(0.839823\pi\)
\(762\) −12.0632 + 3.22523i −0.437005 + 0.116838i
\(763\) −10.2374 17.7317i −0.370619 0.641930i
\(764\) 2.56932 + 1.48340i 0.0929546 + 0.0536674i
\(765\) 1.11476 1.92593i 0.0403043 0.0696323i
\(766\) 3.21579 + 1.85664i 0.116191 + 0.0670830i
\(767\) 0.314267 0.0113475
\(768\) −0.449207 + 1.67279i −0.0162094 + 0.0603615i
\(769\) −18.7708 32.5120i −0.676892 1.17241i −0.975912 0.218165i \(-0.929993\pi\)
0.299020 0.954247i \(-0.403340\pi\)
\(770\) −3.58497 + 6.20935i −0.129193 + 0.223770i
\(771\) 25.3358 25.3080i 0.912447 0.911445i
\(772\) −6.42312 11.1252i −0.231173 0.400403i
\(773\) −13.0451 −0.469198 −0.234599 0.972092i \(-0.575378\pi\)
−0.234599 + 0.972092i \(0.575378\pi\)
\(774\) 0.0160186 14.5767i 0.000575776 0.523949i
\(775\) −1.20475 + 5.43586i −0.0432759 + 0.195262i
\(776\)