Properties

Label 930.2.o.e.161.1
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 161.1
Character \(\chi\) \(=\) 930.161
Dual form 930.2.o.e.491.11

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000i q^{2} +(-1.67328 - 0.447368i) q^{3} -1.00000 q^{4} +(0.866025 + 0.500000i) q^{5} +(-0.447368 + 1.67328i) q^{6} +(-1.32225 - 2.29021i) q^{7} +1.00000i q^{8} +(2.59972 + 1.49714i) q^{9} +O(q^{10})\) \(q-1.00000i q^{2} +(-1.67328 - 0.447368i) q^{3} -1.00000 q^{4} +(0.866025 + 0.500000i) q^{5} +(-0.447368 + 1.67328i) q^{6} +(-1.32225 - 2.29021i) q^{7} +1.00000i q^{8} +(2.59972 + 1.49714i) q^{9} +(0.500000 - 0.866025i) q^{10} +(-1.35563 + 2.34802i) q^{11} +(1.67328 + 0.447368i) 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} +(1.49714 - 2.59972i) q^{18} +(1.17674 + 2.03818i) q^{19} +(-0.866025 - 0.500000i) q^{20} +(1.18793 + 4.42369i) q^{21} +(2.34802 + 1.35563i) q^{22} -3.17723 q^{23} +(0.447368 - 1.67328i) 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} +(-2.59972 - 1.49714i) 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} +(4.42369 - 1.18793i) q^{42} +(4.20794 - 2.42945i) q^{43} +(1.35563 - 2.34802i) q^{44} +(1.50285 + 2.59643i) q^{45} +3.17723i q^{46} -3.29156i q^{47} +(-1.67328 - 0.447368i) q^{48} +(0.00329675 - 0.00571013i) q^{49} +(0.866025 - 0.500000i) q^{50} +(-0.333205 - 1.24081i) 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} +(-1.05720 - 3.93687i) 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} +(5.31639 + 1.42139i) q^{69} -2.64450 q^{70} +(11.6252 + 6.71183i) q^{71} +(-1.49714 + 2.59972i) q^{72} +(9.24020 + 5.33483i) q^{73} +(-5.00135 - 8.66260i) q^{74} +(-0.449207 - 1.67279i) 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} +(4.51712 + 7.78432i) q^{81} +(2.63332 - 4.56104i) q^{82} +(-2.44932 + 4.24235i) q^{83} +(-1.18793 - 4.42369i) q^{84} +0.741764i q^{85} +(-2.42945 - 4.20794i) q^{86} +(-1.86788 - 0.499398i) q^{87} +(-2.34802 - 1.35563i) q^{88} -17.1663 q^{89} +(2.59643 - 1.50285i) q^{90} -10.6836i q^{91} +3.17723 q^{92} +(-5.18650 - 8.13021i) q^{93} -3.29156 q^{94} +2.35348i q^{95} +(-0.447368 + 1.67328i) q^{96} +12.4034 q^{97} +(-0.00571013 - 0.00329675i) q^{98} +(-7.03959 + 4.07463i) 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
\(3\) −1.67328 0.447368i −0.966068 0.258288i
\(4\) −1.00000 −0.500000
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) −0.447368 + 1.67328i −0.182637 + 0.683113i
\(7\) −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
\(9\) 2.59972 + 1.49714i 0.866574 + 0.499048i
\(10\) 0.500000 0.866025i 0.158114 0.273861i
\(11\) −1.35563 + 2.34802i −0.408738 + 0.707955i −0.994749 0.102348i \(-0.967364\pi\)
0.586011 + 0.810303i \(0.300698\pi\)
\(12\) 1.67328 + 0.447368i 0.483034 + 0.129144i
\(13\) 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 0.907491 0.420072i \(-0.137995\pi\)
−0.817539 + 0.575874i \(0.804662\pi\)
\(18\) 1.49714 2.59972i 0.352880 0.612761i
\(19\) 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
\(21\) 1.18793 + 4.42369i 0.259228 + 0.965329i
\(22\) 2.34802 + 1.35563i 0.500600 + 0.289021i
\(23\) −3.17723 −0.662498 −0.331249 0.943543i \(-0.607470\pi\)
−0.331249 + 0.943543i \(0.607470\pi\)
\(24\) 0.447368 1.67328i 0.0913187 0.341557i
\(25\) 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 \(-0.466949\pi\)
0.103646 + 0.994614i \(0.466949\pi\)
\(30\) −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
\(36\) −2.59972 1.49714i −0.433287 0.249524i
\(37\) 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 0.811918 0.583772i \(-0.198424\pi\)
−0.0996025 + 0.995027i \(0.531757\pi\)
\(42\) 4.42369 1.18793i 0.682590 0.183302i
\(43\) 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
\(45\) 1.50285 + 2.59643i 0.224032 + 0.387052i
\(46\) 3.17723i 0.468457i
\(47\) 3.29156i 0.480123i −0.970758 0.240061i \(-0.922832\pi\)
0.970758 0.240061i \(-0.0771676\pi\)
\(48\) −1.67328 0.447368i −0.241517 0.0645721i
\(49\) 0.00329675 0.00571013i 0.000470964 0.000815734i
\(50\) 0.866025 0.500000i 0.122474 0.0707107i
\(51\) −0.333205 1.24081i −0.0466581 0.173748i
\(52\) −3.49868 2.01996i −0.485180 0.280119i
\(53\) 0.432136 0.748481i 0.0593584 0.102812i −0.834819 0.550524i \(-0.814428\pi\)
0.894178 + 0.447712i \(0.147761\pi\)
\(54\) −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
\(57\) −1.05720 3.93687i −0.140030 0.521452i
\(58\) 1.11630i 0.146577i
\(59\) −0.0673682 + 0.0388951i −0.00877060 + 0.00506371i −0.504379 0.863482i \(-0.668279\pi\)
0.495608 + 0.868546i \(0.334945\pi\)
\(60\) 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
\(69\) 5.31639 + 1.42139i 0.640018 + 0.171115i
\(70\) −2.64450 −0.316079
\(71\) 11.6252 + 6.71183i 1.37966 + 0.796548i 0.992118 0.125304i \(-0.0399906\pi\)
0.387543 + 0.921852i \(0.373324\pi\)
\(72\) −1.49714 + 2.59972i −0.176440 + 0.306380i
\(73\) 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
\(75\) −0.449207 1.67279i −0.0518699 0.193157i
\(76\) −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
\(81\) 4.51712 + 7.78432i 0.501902 + 0.864924i
\(82\) 2.63332 4.56104i 0.290801 0.503683i
\(83\) −2.44932 + 4.24235i −0.268848 + 0.465659i −0.968565 0.248762i \(-0.919976\pi\)
0.699716 + 0.714421i \(0.253310\pi\)
\(84\) −1.18793 4.42369i −0.129614 0.482664i
\(85\) 0.741764i 0.0804556i
\(86\) −2.42945 4.20794i −0.261975 0.453753i
\(87\) −1.86788 0.499398i −0.200258 0.0535410i
\(88\) −2.34802 1.35563i −0.250300 0.144511i
\(89\) −17.1663 −1.81962 −0.909811 0.415022i \(-0.863774\pi\)
−0.909811 + 0.415022i \(0.863774\pi\)
\(90\) 2.59643 1.50285i 0.273687 0.158415i
\(91\) 10.6836i 1.11995i
\(92\) 3.17723 0.331249
\(93\) −5.18650 8.13021i −0.537815 0.843063i
\(94\) −3.29156 −0.339498
\(95\) 2.35348i 0.241462i
\(96\) −0.447368 + 1.67328i −0.0456593 + 0.170778i
\(97\) 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
\(99\) −7.03959 + 4.07463i −0.707505 + 0.409516i
\(100\) −0.500000 0.866025i −0.0500000 0.0866025i
\(101\) 0.291018i 0.0289574i −0.999895 0.0144787i \(-0.995391\pi\)
0.999895 0.0144787i \(-0.00460888\pi\)
\(102\) −1.24081 + 0.333205i −0.122859 + 0.0329923i
\(103\) 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
\(105\) −1.18307 + 4.42499i −0.115456 + 0.431835i
\(106\) −0.748481 0.432136i −0.0726989 0.0419727i
\(107\) 4.83678 2.79252i 0.467590 0.269963i −0.247641 0.968852i \(-0.579655\pi\)
0.715230 + 0.698889i \(0.246322\pi\)
\(108\) 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
\(111\) −16.7324 + 4.49329i −1.58817 + 0.426484i
\(112\) −1.32225 2.29021i −0.124941 0.216404i
\(113\) −5.97390 3.44903i −0.561978 0.324458i 0.191961 0.981402i \(-0.438515\pi\)
−0.753939 + 0.656945i \(0.771849\pi\)
\(114\) −3.93687 + 1.05720i −0.368722 + 0.0990159i
\(115\) −2.75156 1.58861i −0.256584 0.148139i
\(116\) −1.11630 −0.103646
\(117\) 6.07142 + 10.4894i 0.561303 + 0.969743i
\(118\) 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
\(129\) −8.12791 + 2.18265i −0.715623 + 0.192172i
\(130\) 3.49868 2.01996i 0.306855 0.177163i
\(131\) 13.4418 7.76065i 1.17442 0.678051i 0.219702 0.975567i \(-0.429491\pi\)
0.954717 + 0.297516i \(0.0961580\pi\)
\(132\) −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
\(135\) −1.35313 5.01687i −0.116459 0.431784i
\(136\) −0.642386 + 0.370882i −0.0550842 + 0.0318029i
\(137\) −9.07490 + 15.7182i −0.775321 + 1.34290i 0.159293 + 0.987231i \(0.449079\pi\)
−0.934614 + 0.355664i \(0.884255\pi\)
\(138\) 1.42139 5.31639i 0.120997 0.452561i
\(139\) 20.3716i 1.72789i 0.503583 + 0.863947i \(0.332015\pi\)
−0.503583 + 0.863947i \(0.667985\pi\)
\(140\) 2.64450i 0.223501i
\(141\) −1.47254 + 5.50769i −0.124010 + 0.463831i
\(142\) 6.71183 11.6252i 0.563244 0.975568i
\(143\) −9.48584 + 5.47665i −0.793246 + 0.457981i
\(144\) 2.59972 + 1.49714i 0.216644 + 0.124762i
\(145\) 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 −0.756399 0.654111i \(-0.773043\pi\)
0.188277 + 0.982116i \(0.439710\pi\)
\(150\) −1.67279 + 0.449207i −0.136582 + 0.0366776i
\(151\) 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
\(162\) 7.78432 4.51712i 0.611594 0.354898i
\(163\) −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
\(165\) 4.53536 1.21792i 0.353077 0.0948147i
\(166\) 4.24235 + 2.44932i 0.329270 + 0.190104i
\(167\) 11.2639 + 19.5096i 0.871624 + 1.50970i 0.860316 + 0.509762i \(0.170266\pi\)
0.0113086 + 0.999936i \(0.496400\pi\)
\(168\) −4.42369 + 1.18793i −0.341295 + 0.0916508i
\(169\) 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 0.194584 0.980886i \(-0.437664\pi\)
−0.752180 + 0.658958i \(0.770998\pi\)
\(174\) −0.499398 + 1.86788i −0.0378592 + 0.141604i
\(175\) 1.32225 2.29021i 0.0999529 0.173123i
\(176\) −1.35563 + 2.34802i −0.102185 + 0.176989i
\(177\) 0.130126 0.0349439i 0.00978089 0.00262654i
\(178\) 17.1663i 1.28667i
\(179\) 8.32290 + 14.4157i 0.622083 + 1.07748i 0.989097 + 0.147264i \(0.0470466\pi\)
−0.367014 + 0.930215i \(0.619620\pi\)
\(180\) −1.50285 2.59643i −0.112016 0.193526i
\(181\) −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
\(183\) −3.67457 + 13.7439i −0.271632 + 1.01598i
\(184\) 3.17723i 0.234228i
\(185\) 10.0027 0.735414
\(186\) −8.13021 + 5.18650i −0.596136 + 0.380292i
\(187\) −2.01112 −0.147067
\(188\) 3.29156i 0.240061i
\(189\) −3.53461 + 13.2789i −0.257105 + 0.965896i
\(190\) 2.35348 0.170740
\(191\) 2.56932 + 1.48340i 0.185909 + 0.107335i 0.590066 0.807355i \(-0.299102\pi\)
−0.404157 + 0.914690i \(0.632435\pi\)
\(192\) 1.67328 + 0.447368i 0.120758 + 0.0322860i
\(193\) 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
\(195\) −1.81476 6.75794i −0.129958 0.483946i
\(196\) −0.00329675 + 0.00571013i −0.000235482 + 0.000407867i
\(197\) −6.44071 + 11.1556i −0.458881 + 0.794806i −0.998902 0.0468458i \(-0.985083\pi\)
0.540021 + 0.841652i \(0.318416\pi\)
\(198\) 4.07463 + 7.03959i 0.289571 + 0.500282i
\(199\) 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
\(204\) 0.333205 + 1.24081i 0.0233290 + 0.0868742i
\(205\) 2.63332 + 4.56104i 0.183919 + 0.318557i
\(206\) −5.24333 3.02724i −0.365320 0.210918i
\(207\) −8.25991 4.75677i −0.574104 0.330618i
\(208\) 3.49868 + 2.01996i 0.242590 + 0.140059i
\(209\) −6.38091 −0.441377
\(210\) 4.42499 + 1.18307i 0.305354 + 0.0816394i
\(211\) 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
\(222\) 4.49329 + 16.7324i 0.301570 + 1.12300i
\(223\) 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 0.0874527 0.996169i \(-0.472127\pi\)
−0.818981 + 0.573821i \(0.805461\pi\)
\(228\) 1.05720 + 3.93687i 0.0700148 + 0.260726i
\(229\) −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
\(231\) −11.9973 3.20761i −0.789365 0.211045i
\(232\) 1.11630i 0.0732887i
\(233\) 3.05182i 0.199931i −0.994991 0.0999657i \(-0.968127\pi\)
0.994991 0.0999657i \(-0.0318733\pi\)
\(234\) 10.4894 6.07142i 0.685712 0.396901i
\(235\) 1.64578 2.85057i 0.107359 0.185951i
\(236\) 0.0673682 0.0388951i 0.00438530 0.00253185i
\(237\) 20.3764 5.47185i 1.32359 0.355435i
\(238\) −1.69879 0.980799i −0.110116 0.0635758i
\(239\) 6.34019 10.9815i 0.410113 0.710336i −0.584789 0.811185i \(-0.698823\pi\)
0.994902 + 0.100850i \(0.0321561\pi\)
\(240\) −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
\(243\) −4.07594 15.0462i −0.261472 0.965211i
\(244\) 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 \(0.00309422\pi\)
−0.491558 + 0.870845i \(0.663572\pi\)
\(252\) 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
\(255\) 0.331842 1.24118i 0.0207807 0.0777255i
\(256\) 1.00000 0.0625000
\(257\) 17.9053 + 10.3376i 1.11690 + 0.644843i 0.940608 0.339494i \(-0.110256\pi\)
0.176293 + 0.984338i \(0.443589\pi\)
\(258\) 2.18265 + 8.12791i 0.135886 + 0.506022i
\(259\) −22.9083 13.2261i −1.42345 0.821830i
\(260\) −2.01996 3.49868i −0.125273 0.216979i
\(261\) 2.90207 + 1.67126i 0.179634 + 0.103449i
\(262\) −7.76065 13.4418i −0.479455 0.830440i
\(263\) 16.8210 1.03723 0.518613 0.855009i \(-0.326449\pi\)
0.518613 + 0.855009i \(0.326449\pi\)
\(264\) 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
\(267\) 28.7240 + 7.67965i 1.75788 + 0.469987i
\(268\) −4.09060 + 7.08512i −0.249873 + 0.432793i
\(269\) −3.65752 + 6.33501i −0.223003 + 0.386252i −0.955718 0.294283i \(-0.904919\pi\)
0.732716 + 0.680535i \(0.238253\pi\)
\(270\) −5.01687 + 1.35313i −0.305317 + 0.0823492i
\(271\) 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
\(273\) −4.77951 + 17.8767i −0.289269 + 1.08194i
\(274\) 15.7182 + 9.07490i 0.949570 + 0.548235i
\(275\) −2.71126 −0.163495
\(276\) −5.31639 1.42139i −0.320009 0.0855577i
\(277\) 12.3568i 0.742447i −0.928544 0.371223i \(-0.878938\pi\)
0.928544 0.371223i \(-0.121062\pi\)
\(278\) 20.3716 1.22181
\(279\) 5.04126 + 15.9244i 0.301812 + 0.953367i
\(280\) 2.64450 0.158039
\(281\) 2.26737i 0.135260i 0.997710 + 0.0676300i \(0.0215437\pi\)
−0.997710 + 0.0676300i \(0.978456\pi\)
\(282\) 5.50769 + 1.47254i 0.327978 + 0.0876884i
\(283\) 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
\(285\) 1.05287 3.93803i 0.0623669 0.233269i
\(286\) 5.47665 + 9.48584i 0.323841 + 0.560909i
\(287\) 13.9277i 0.822123i
\(288\) 1.49714 2.59972i 0.0882201 0.153190i
\(289\) 8.22489 14.2459i 0.483817 0.837996i
\(290\) 0.558150 0.966745i 0.0327757 0.0567692i
\(291\) −20.7544 5.54891i −1.21665 0.325283i
\(292\) −9.24020 5.33483i −0.540742 0.312198i
\(293\) 16.4722 9.51024i 0.962318 0.555594i 0.0654320 0.997857i \(-0.479157\pi\)
0.896886 + 0.442263i \(0.145824\pi\)
\(294\) 0.00807979 + 0.00807091i 0.000471223 + 0.000470705i
\(295\) −0.0777901 −0.00452912
\(296\) 5.00135 + 8.66260i 0.290698 + 0.503503i
\(297\) 13.6021 3.66870i 0.789271 0.212880i
\(298\) 4.00381 + 6.93481i 0.231935 + 0.401723i
\(299\) −11.1161 6.41789i −0.642861 0.371156i
\(300\) 0.449207 + 1.67279i 0.0259350 + 0.0965783i
\(301\) −11.1279 6.42470i −0.641402 0.370314i
\(302\) −7.40096 −0.425877
\(303\) −0.130192 + 0.486955i −0.00747936 + 0.0279748i
\(304\) 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 \(-0.553697\pi\)
0.167895 0.985805i \(-0.446303\pi\)
\(312\) 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
\(315\) 3.95920 6.87498i 0.223076 0.387361i
\(316\) 10.5492 6.09057i 0.593438 0.342621i
\(317\) −4.29014 + 2.47691i −0.240958 + 0.139117i −0.615617 0.788045i \(-0.711093\pi\)
0.374659 + 0.927163i \(0.377760\pi\)
\(318\) 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
\(321\) −9.34257 + 2.50884i −0.521452 + 0.140030i
\(322\) 7.27652 4.20110i 0.405504 0.234118i
\(323\) −0.872864 + 1.51185i −0.0485675 + 0.0841213i
\(324\) −4.51712 7.78432i −0.250951 0.432462i
\(325\) 4.03993i 0.224095i
\(326\) 25.1648i 1.39375i
\(327\) −12.9552 3.46370i −0.716423 0.191543i
\(328\) −2.63332 + 4.56104i −0.145401 + 0.251841i
\(329\) −7.53835 + 4.35227i −0.415603 + 0.239948i
\(330\) −1.21792 4.53536i −0.0670442 0.249663i
\(331\) −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
\(336\) 1.18793 + 4.42369i 0.0648069 + 0.241332i
\(337\) 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 \(-0.939402\pi\)
0.327092 0.944992i \(-0.393931\pi\)
\(348\) 1.86788 + 0.499398i 0.100129 + 0.0267705i
\(349\) −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
\(351\) −5.46657 20.2678i −0.291784 1.08182i
\(352\) 2.34802 + 1.35563i 0.125150 + 0.0722554i
\(353\) −17.7462 30.7372i −0.944533 1.63598i −0.756684 0.653781i \(-0.773182\pi\)
−0.187848 0.982198i \(-0.560151\pi\)
\(354\) −0.0349439 0.130126i −0.00185725 0.00691613i
\(355\) 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 0.709868 0.704335i \(-0.248755\pi\)
−0.255038 + 0.966931i \(0.582088\pi\)
\(360\) −2.59643 + 1.50285i −0.136844 + 0.0792074i
\(361\) 6.73056 11.6577i 0.354240 0.613562i
\(362\) −1.65676 + 2.86960i −0.0870775 + 0.150823i
\(363\) −1.63918 6.10410i −0.0860348 0.320382i
\(364\) 10.6836i 0.559973i
\(365\) 5.33483 + 9.24020i 0.279238 + 0.483654i
\(366\) 13.7439 + 3.67457i 0.718405 + 0.192073i
\(367\) 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
\(369\) 7.91499 + 13.6744i 0.412038 + 0.711863i
\(370\) 10.0027i 0.520016i
\(371\) −2.28557 −0.118661
\(372\) 5.18650 + 8.13021i 0.268907 + 0.421532i
\(373\) −23.1098 −1.19658 −0.598289 0.801280i \(-0.704153\pi\)
−0.598289 + 0.801280i \(0.704153\pi\)
\(374\) 2.01112i 0.103992i
\(375\) 0.447368 1.67328i 0.0231020 0.0864077i
\(376\) 3.29156 0.169749
\(377\) 3.90558 + 2.25489i 0.201148 + 0.116133i
\(378\) 13.2789 + 3.53461i 0.682992 + 0.181801i
\(379\) −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
\(381\) −12.0597 + 3.23849i −0.617837 + 0.165913i
\(382\) 1.48340 2.56932i 0.0758971 0.131458i
\(383\) −1.85664 + 3.21579i −0.0948697 + 0.164319i −0.909554 0.415585i \(-0.863577\pi\)
0.814685 + 0.579904i \(0.196910\pi\)
\(384\) 0.447368 1.67328i 0.0228297 0.0853891i
\(385\) 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 0.715552 0.698559i \(-0.246175\pi\)
−0.962746 + 0.270407i \(0.912842\pi\)
\(390\) −6.75794 + 1.81476i −0.342201 + 0.0918941i
\(391\) −1.17838 2.04101i −0.0595931 0.103218i
\(392\) 0.00571013 + 0.00329675i 0.000288405 + 0.000166511i
\(393\) −25.9638 + 6.97228i −1.30970 + 0.351705i
\(394\) 11.1556 + 6.44071i 0.562013 + 0.324478i
\(395\) −12.1811 −0.612900
\(396\) 7.03959 4.07463i 0.353753 0.204758i
\(397\) −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 \(-0.507659\pi\)
−0.0240603 + 0.999711i \(0.507659\pi\)
\(402\) 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
\(408\) 1.24081 0.333205i 0.0614294 0.0164961i
\(409\) −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
\(414\) −4.75677 + 8.25991i −0.233782 + 0.405953i
\(415\) −4.24235 + 2.44932i −0.208249 + 0.120233i
\(416\) 2.01996 3.49868i 0.0990369 0.171537i
\(417\) 9.11360 34.0873i 0.446295 1.66926i
\(418\) 6.38091i 0.312100i
\(419\) 6.12859i 0.299401i −0.988731 0.149701i \(-0.952169\pi\)
0.988731 0.149701i \(-0.0478310\pi\)
\(420\) 1.18307 4.42499i 0.0577278 0.215918i
\(421\) −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
\(423\) 4.92794 8.55714i 0.239604 0.416062i
\(424\) 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
\(429\) 18.3225 4.92030i 0.884620 0.237554i
\(430\) 4.85891i 0.234317i
\(431\) −24.8975 + 14.3746i −1.19927 + 0.692399i −0.960393 0.278650i \(-0.910113\pi\)
−0.238878 + 0.971050i \(0.576780\pi\)
\(432\) −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
\(441\) 0.0171195 0.00990906i 0.000815215 0.000471860i
\(442\) 2.99667 0.142537
\(443\) −23.1960 13.3922i −1.10207 0.636283i −0.165310 0.986242i \(-0.552862\pi\)
−0.936765 + 0.349959i \(0.886196\pi\)
\(444\) 16.7324 4.49329i 0.794084 0.213242i
\(445\) −14.8664 8.58314i −0.704737 0.406880i
\(446\) −4.36017 7.55204i −0.206460 0.357599i
\(447\) 13.3951 3.59708i 0.633564 0.170136i
\(448\) 1.32225 + 2.29021i 0.0624706 + 0.108202i
\(449\) 24.5175 1.15705 0.578527 0.815663i \(-0.303628\pi\)
0.578527 + 0.815663i \(0.303628\pi\)
\(450\) 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
\(453\) −3.31096 + 12.3839i −0.155562 + 0.581845i
\(454\) −6.36331 + 11.0216i −0.298645 + 0.517269i
\(455\) 5.34180 9.25228i 0.250428 0.433753i
\(456\) 3.93687 1.05720i 0.184361 0.0495080i
\(457\) 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
\(459\) 0.991433 3.72462i 0.0462761 0.173851i
\(460\) 2.75156 + 1.58861i 0.128292 + 0.0740695i
\(461\) −10.2584 −0.477779 −0.238890 0.971047i \(-0.576783\pi\)
−0.238890 + 0.971047i \(0.576783\pi\)
\(462\) −3.20761 + 11.9973i −0.149231 + 0.558166i
\(463\) 16.4580i 0.764870i 0.923982 + 0.382435i \(0.124914\pi\)
−0.923982 + 0.382435i \(0.875086\pi\)
\(464\) 1.11630 0.0518230
\(465\) −0.426535 9.63421i −0.0197801 0.446776i
\(466\) −3.05182 −0.141373
\(467\) 21.7403i 1.00602i −0.864281 0.503010i \(-0.832226\pi\)
0.864281 0.503010i \(-0.167774\pi\)
\(468\) −6.07142 10.4894i −0.280652 0.484872i
\(469\) −21.6352 −0.999021
\(470\) −2.85057 1.64578i −0.131487 0.0759141i
\(471\) −4.04429 1.08128i −0.186351 0.0498229i
\(472\) −0.0388951 0.0673682i −0.00179029 0.00310087i
\(473\) 13.1738i 0.605730i
\(474\) −5.47185 20.3764i −0.251331 0.935921i
\(475\) −1.17674 + 2.03818i −0.0539926 + 0.0935179i
\(476\) −0.980799 + 1.69879i −0.0449548 + 0.0778641i
\(477\) 2.24402 1.29887i 0.102747 0.0594714i
\(478\) −10.9815 6.34019i −0.502283 0.289993i
\(479\) −16.4488 + 9.49670i −0.751563 + 0.433915i −0.826258 0.563291i \(-0.809535\pi\)
0.0746954 + 0.997206i \(0.476202\pi\)
\(480\) −1.22407 + 1.22542i −0.0558710 + 0.0559324i
\(481\) 40.4102 1.84255
\(482\) 10.1666 + 17.6091i 0.463077 + 0.802073i
\(483\) −3.77432 14.0551i −0.171738 0.639528i
\(484\) −1.82453 3.16018i −0.0829332 0.143645i
\(485\) 10.7417 + 6.20172i 0.487755 + 0.281606i
\(486\) −15.0462 + 4.07594i −0.682507 + 0.184888i
\(487\) 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
\(489\) 42.1078 + 11.2580i 1.90418 + 0.509102i
\(490\) −0.00329675 0.00571013i −0.000148932 0.000257958i
\(491\) 13.0832 22.6608i 0.590438 1.02267i −0.403735 0.914876i \(-0.632288\pi\)
0.994173 0.107793i \(-0.0343784\pi\)
\(492\) 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
\(501\) −10.1196 37.6841i −0.452111 1.68360i
\(502\) 13.9508 8.05449i 0.622654 0.359489i
\(503\) −6.14219 + 3.54620i −0.273867 + 0.158117i −0.630644 0.776073i \(-0.717209\pi\)
0.356777 + 0.934190i \(0.383876\pi\)
\(504\) 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
\(507\) −1.49182 5.55535i −0.0662543 0.246722i
\(508\) −6.24347 + 3.60467i −0.277009 + 0.159931i
\(509\) 11.2332 19.4565i 0.497903 0.862393i −0.502094 0.864813i \(-0.667437\pi\)
0.999997 + 0.00241974i \(0.000770229\pi\)
\(510\) −1.24118 0.331842i −0.0549603 0.0146942i
\(511\) 28.2160i 1.24820i
\(512\) 1.00000i 0.0441942i
\(513\) 3.14564 11.8176i 0.138883 0.521758i
\(514\) 10.3376 17.9053i 0.455973 0.789769i
\(515\) 5.24333 3.02724i 0.231049 0.133396i
\(516\) 8.12791 2.18265i 0.357811 0.0960860i
\(517\) 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 0.137069 0.990561i \(-0.456232\pi\)
0.926386 + 0.376575i \(0.122898\pi\)
\(522\) 1.67126 2.90207i 0.0731492 0.127020i
\(523\) 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
\(534\) 7.67965 28.7240i 0.332331 1.24301i
\(535\) 5.58504 0.241462
\(536\) 7.08512 + 4.09060i 0.306031 + 0.176687i
\(537\) −7.47741 27.8449i −0.322674 1.20159i
\(538\) 6.33501 + 3.65752i 0.273122 + 0.157687i
\(539\) 0.00893835 + 0.0154817i 0.000385002 + 0.000666843i
\(540\) 1.35313 + 5.01687i 0.0582296 + 0.215892i
\(541\) −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
\(546\) 17.8767 + 4.77951i 0.765050 + 0.204544i
\(547\) −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
\(549\) 12.2972 21.3535i 0.524831 0.911345i
\(550\) 2.71126i 0.115609i
\(551\) 1.31360 + 2.27522i 0.0559611 + 0.0969275i
\(552\) −1.42139 + 5.31639i −0.0604984 + 0.226281i
\(553\) 27.8974 + 16.1065i 1.18632 + 0.684920i
\(554\) −12.3568 −0.524989
\(555\) −16.7373 4.47490i −0.710460 0.189949i
\(556\) 20.3716i 0.863947i
\(557\) −36.3726 −1.54116 −0.770579 0.637345i \(-0.780033\pi\)
−0.770579 + 0.637345i \(0.780033\pi\)
\(558\) 15.9244 5.04126i 0.674133 0.213413i
\(559\) 19.6296 0.830245
\(560\) 2.64450i 0.111751i
\(561\) 3.36516 + 0.899710i 0.142077 + 0.0379858i
\(562\) 2.26737 0.0956432
\(563\) −19.8508 11.4609i −0.836613 0.483019i 0.0194982 0.999810i \(-0.493793\pi\)
−0.856112 + 0.516791i \(0.827126\pi\)
\(564\) 1.47254 5.50769i 0.0620051 0.231916i
\(565\) −3.44903 5.97390i −0.145102 0.251324i
\(566\) 4.78042i 0.200936i
\(567\) 11.8549 20.6380i 0.497861 0.866714i
\(568\) −6.71183 + 11.6252i −0.281622 + 0.487784i
\(569\) 6.04836 10.4761i 0.253561 0.439180i −0.710943 0.703250i \(-0.751732\pi\)
0.964504 + 0.264070i \(0.0850649\pi\)
\(570\) −3.93803 1.05287i −0.164946 0.0441000i
\(571\) 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
\(576\) −2.59972 1.49714i −0.108322 0.0623810i
\(577\) 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
\(579\) −5.77062 21.4890i −0.239819 0.893052i
\(580\) −0.966745 0.558150i −0.0401419 0.0231759i
\(581\) 12.9545 0.537443
\(582\) −5.54891 + 20.7544i −0.230010 + 0.860298i
\(583\) 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 \(-0.250415\pi\)
0.706185 + 0.708027i \(0.250415\pi\)
\(588\) 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 \(-0.844235\pi\)
0.882638 0.470053i \(-0.155765\pi\)
\(594\) −3.66870 13.6021i −0.150529 0.558099i
\(595\) 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 0.993972 0.109634i \(-0.0349677\pi\)
0.402041 + 0.915622i \(0.368301\pi\)
\(600\) 1.67279 0.449207i 0.0682912 0.0183388i
\(601\) 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
\(603\) 21.2419 12.2951i 0.865036 0.500697i
\(604\) 7.40096i 0.301141i
\(605\) 3.64906i 0.148355i
\(606\) 0.486955 + 0.130192i 0.0197812 + 0.00528871i
\(607\) −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
\(609\) 1.32609 + 4.93817i 0.0537358 + 0.200105i
\(610\) −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
\(615\) −2.36581 8.80996i −0.0953987 0.355252i
\(616\) 7.16994i 0.288885i
\(617\) −38.3757 + 22.1562i −1.54495 + 0.891975i −0.546431 + 0.837504i \(0.684014\pi\)
−0.998515 + 0.0544716i \(0.982653\pi\)
\(618\) 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
\(627\) 10.6770 + 2.85462i 0.426400 + 0.114002i
\(628\) −2.41698 −0.0964482
\(629\) 6.42560 + 3.70982i 0.256206 + 0.147920i
\(630\) −6.87498 3.95920i −0.273906 0.157738i
\(631\) −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
\(633\) −2.17438 8.09711i −0.0864240 0.321831i
\(634\) 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
\(639\) 20.1738 + 34.8536i 0.798064 + 1.37879i
\(640\) −0.500000 + 0.866025i −0.0197642 + 0.0342327i
\(641\) 2.24960 3.89643i 0.0888540 0.153900i −0.818173 0.574972i \(-0.805013\pi\)
0.907027 + 0.421073i \(0.138346\pi\)
\(642\) 2.50884 + 9.34257i 0.0990159 + 0.368722i
\(643\) 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
\(645\) −8.13030 2.17372i −0.320130 0.0855902i
\(646\) 1.51185 + 0.872864i 0.0594827 + 0.0343424i
\(647\) −38.1767 −1.50088 −0.750441 0.660937i \(-0.770159\pi\)
−0.750441 + 0.660937i \(0.770159\pi\)
\(648\) −7.78432 + 4.51712i −0.305797 + 0.177449i
\(649\) 0.210909i 0.00827892i
\(650\) 4.03993 0.158459
\(651\) −11.7620 + 22.6283i −0.460989 + 0.886875i
\(652\) 25.1648 0.985532
\(653\) 31.6623i 1.23904i 0.784981 + 0.619520i \(0.212673\pi\)
−0.784981 + 0.619520i \(0.787327\pi\)
\(654\) −3.46370 + 12.9552i −0.135441 + 0.506588i
\(655\) 15.5213 0.606468
\(656\) 4.56104 + 2.63332i 0.178079 + 0.102814i
\(657\) 16.0350 + 27.7030i 0.625583 + 1.08080i
\(658\) 4.35227 + 7.53835i 0.169669 + 0.293876i
\(659\) 23.6853i 0.922648i 0.887232 + 0.461324i \(0.152625\pi\)
−0.887232 + 0.461324i \(0.847375\pi\)
\(660\) −4.53536 + 1.21792i −0.176539 + 0.0474074i
\(661\) 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
\(663\) 1.34062 5.01427i 0.0520652 0.194738i
\(664\) −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
\(669\) −14.5873 + 3.91724i −0.563976 + 0.151449i
\(670\) −4.09060 7.08512i −0.158034 0.273722i
\(671\) 19.2861 + 11.1348i 0.744531 + 0.429855i
\(672\) 4.42369 1.18793i 0.170648 0.0458254i
\(673\) 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
\(675\) 1.33659 5.02131i 0.0514453 0.193270i
\(676\) −1.66051 2.87609i −0.0638657 0.110619i
\(677\) −7.89992 + 13.6831i −0.303619 + 0.525883i −0.976953 0.213455i \(-0.931528\pi\)
0.673334 + 0.739338i \(0.264862\pi\)
\(678\) 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 \(-0.770461\pi\)
0.751068 0.660224i \(-0.229539\pi\)
\(684\) −0.00775884 7.06044i −0.000296667 0.269963i
\(685\) −15.7182 + 9.07490i −0.600561 + 0.346734i
\(686\) 18.5290i 0.707439i
\(687\) 0.580071 0.155771i 0.0221311 0.00594305i
\(688\) 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
\(693\) 18.6399 + 10.7344i 0.708070 + 0.407768i
\(694\) −21.1281 + 12.1983i −0.802013 + 0.463043i
\(695\) −10.1858 + 17.6423i −0.386369 + 0.669210i
\(696\) 0.499398 1.86788i 0.0189296 0.0708019i
\(697\) 3.90660i 0.147973i
\(698\) 7.97476i 0.301849i
\(699\) −1.36529 + 5.10655i −0.0516399 + 0.193147i
\(700\) −1.32225 + 2.29021i −0.0499764 + 0.0865617i
\(701\) 14.1135 8.14843i 0.533060 0.307762i −0.209202 0.977872i \(-0.567087\pi\)
0.742261 + 0.670110i \(0.233753\pi\)
\(702\) −20.2678 + 5.46657i −0.764959 + 0.206322i
\(703\) 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
\(708\) −0.130126 + 0.0349439i −0.00489044 + 0.00131327i
\(709\) 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 0.999817 0.0191556i \(-0.00609778\pi\)
−0.516497 + 0.856289i \(0.672764\pi\)
\(720\) 1.50285 + 2.59643i 0.0560081 + 0.0967631i
\(721\) −16.0111 −0.596285
\(722\) −11.6577 6.73056i −0.433854 0.250485i
\(723\) 34.0132 9.13384i 1.26496 0.339691i
\(724\) 2.86960 + 1.65676i 0.106648 + 0.0615731i
\(725\) 0.558150 + 0.966745i 0.0207292 + 0.0359040i
\(726\) −6.10410 + 1.63918i −0.226544 + 0.0608358i
\(727\) −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
\(732\) 3.67457 13.7439i 0.135816 0.507989i
\(733\) 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
\(735\) −0.0110295 + 0.00296184i −0.000406830 + 0.000109249i
\(736\) 3.17723i 0.117114i
\(737\) 11.0907 + 19.2096i 0.408531 + 0.707596i
\(738\) 13.6744 7.91499i 0.503363 0.291355i
\(739\) 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
\(741\) 4.25353 15.9094i 0.156258 0.584445i
\(742\) 2.28557i 0.0839059i
\(743\) 25.3947 0.931641 0.465821 0.884879i \(-0.345759\pi\)
0.465821 + 0.884879i \(0.345759\pi\)
\(744\) 8.13021 5.18650i 0.298068 0.190146i
\(745\) −8.00763 −0.293377
\(746\) 23.1098i 0.846109i
\(747\) −12.7190 + 7.36195i −0.465363 + 0.269360i
\(748\) 2.01112 0.0735337
\(749\) −12.7909 7.38483i −0.467369 0.269836i
\(750\) −1.67328 0.447368i −0.0610995 0.0163356i
\(751\) 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
\(753\) −7.23626 26.9469i −0.263704 0.981998i
\(754\) 2.25489 3.90558i 0.0821181 0.142233i
\(755\) 3.70048 6.40942i 0.134674 0.233263i
\(756\) 3.53461 13.2789i 0.128553 0.482948i
\(757\) −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 0.876039 0.482240i \(-0.160177\pi\)
−0.855652 + 0.517552i \(0.826843\pi\)
\(762\) 3.23849 + 12.0597i 0.117318 + 0.436876i
\(763\) −10.2374 17.7317i −0.370619 0.641930i
\(764\) −2.56932 1.48340i −0.0929546 0.0536674i
\(765\) −1.11053 + 1.92838i −0.0401512 + 0.0697207i
\(766\) 3.21579 + 1.85664i 0.116191 + 0.0670830i
\(767\) −0.314267 −0.0113475
\(768\) −1.67328 0.447368i −0.0603792 0.0161430i
\(769\) −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 \(-0.424622\pi\)
0.234599 + 0.972092i \(0.424622\pi\)
\(774\) −0.0160186 14.5767i −0.000575776 0.523949i
\(775\) −1.20475 + 5.43586i −0.0432759 + 0.195262i
\(776\) 12.4034i