Properties

Label 930.2.o.e.161.12
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 161.12
Character \(\chi\) \(=\) 930.161
Dual form 930.2.o.e.491.2

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000i q^{2} +(-1.69717 + 0.345843i) q^{3} -1.00000 q^{4} +(-0.866025 - 0.500000i) q^{5} +(-0.345843 - 1.69717i) q^{6} +(0.742621 + 1.28626i) q^{7} -1.00000i q^{8} +(2.76078 - 1.17391i) q^{9} +O(q^{10})\) \(q+1.00000i q^{2} +(-1.69717 + 0.345843i) q^{3} -1.00000 q^{4} +(-0.866025 - 0.500000i) q^{5} +(-0.345843 - 1.69717i) q^{6} +(0.742621 + 1.28626i) q^{7} -1.00000i q^{8} +(2.76078 - 1.17391i) q^{9} +(0.500000 - 0.866025i) q^{10} +(-2.14249 + 3.71090i) q^{11} +(1.69717 - 0.345843i) q^{12} +(-1.46940 - 0.848361i) q^{13} +(-1.28626 + 0.742621i) q^{14} +(1.64272 + 0.549077i) q^{15} +1.00000 q^{16} +(-2.87402 - 4.97796i) q^{17} +(1.17391 + 2.76078i) q^{18} +(-1.59932 - 2.77010i) q^{19} +(0.866025 + 0.500000i) q^{20} +(-1.70520 - 1.92617i) q^{21} +(-3.71090 - 2.14249i) q^{22} -4.16867 q^{23} +(0.345843 + 1.69717i) q^{24} +(0.500000 + 0.866025i) q^{25} +(0.848361 - 1.46940i) q^{26} +(-4.27954 + 2.94713i) q^{27} +(-0.742621 - 1.28626i) q^{28} +7.18325 q^{29} +(-0.549077 + 1.64272i) q^{30} +(2.50461 + 4.97262i) q^{31} +1.00000i q^{32} +(2.35279 - 7.03901i) q^{33} +(4.97796 - 2.87402i) q^{34} -1.48524i q^{35} +(-2.76078 + 1.17391i) q^{36} +(8.23840 - 4.75644i) q^{37} +(2.77010 - 1.59932i) q^{38} +(2.78723 + 0.931631i) q^{39} +(-0.500000 + 0.866025i) q^{40} +(-9.76284 - 5.63658i) q^{41} +(1.92617 - 1.70520i) q^{42} +(6.44566 - 3.72140i) q^{43} +(2.14249 - 3.71090i) q^{44} +(-2.97787 - 0.363755i) q^{45} -4.16867i q^{46} -11.9223i q^{47} +(-1.69717 + 0.345843i) q^{48} +(2.39703 - 4.15178i) q^{49} +(-0.866025 + 0.500000i) q^{50} +(6.59931 + 7.45448i) q^{51} +(1.46940 + 0.848361i) q^{52} +(3.03596 - 5.25843i) q^{53} +(-2.94713 - 4.27954i) q^{54} +(3.71090 - 2.14249i) q^{55} +(1.28626 - 0.742621i) q^{56} +(3.67234 + 4.14822i) q^{57} +7.18325i q^{58} +(1.18138 - 0.682072i) q^{59} +(-1.64272 - 0.549077i) q^{60} +12.5555i q^{61} +(-4.97262 + 2.50461i) q^{62} +(3.56017 + 2.67931i) q^{63} -1.00000 q^{64} +(0.848361 + 1.46940i) q^{65} +(7.03901 + 2.35279i) q^{66} +(5.98520 - 10.3667i) q^{67} +(2.87402 + 4.97796i) q^{68} +(7.07495 - 1.44171i) q^{69} +1.48524 q^{70} +(-0.650013 - 0.375285i) q^{71} +(-1.17391 - 2.76078i) q^{72} +(-3.41044 - 1.96902i) q^{73} +(4.75644 + 8.23840i) q^{74} +(-1.14810 - 1.29687i) q^{75} +(1.59932 + 2.77010i) q^{76} -6.36423 q^{77} +(-0.931631 + 2.78723i) q^{78} +(9.64630 - 5.56929i) q^{79} +(-0.866025 - 0.500000i) q^{80} +(6.24387 - 6.48183i) q^{81} +(5.63658 - 9.76284i) q^{82} +(-4.88450 + 8.46021i) q^{83} +(1.70520 + 1.92617i) q^{84} +5.74805i q^{85} +(3.72140 + 6.44566i) q^{86} +(-12.1912 + 2.48428i) q^{87} +(3.71090 + 2.14249i) q^{88} +4.38445 q^{89} +(0.363755 - 2.97787i) q^{90} -2.52004i q^{91} +4.16867 q^{92} +(-5.97051 - 7.57318i) q^{93} +11.9223 q^{94} +3.19864i q^{95} +(-0.345843 - 1.69717i) q^{96} -14.9295 q^{97} +(4.15178 + 2.39703i) q^{98} +(-1.55869 + 12.7601i) 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
\(3\) −1.69717 + 0.345843i −0.979863 + 0.199673i
\(4\) −1.00000 −0.500000
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) −0.345843 1.69717i −0.141190 0.692868i
\(7\) 0.742621 + 1.28626i 0.280684 + 0.486159i 0.971553 0.236820i \(-0.0761053\pi\)
−0.690869 + 0.722980i \(0.742772\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 2.76078 1.17391i 0.920262 0.391304i
\(10\) 0.500000 0.866025i 0.158114 0.273861i
\(11\) −2.14249 + 3.71090i −0.645986 + 1.11888i 0.338087 + 0.941115i \(0.390220\pi\)
−0.984073 + 0.177765i \(0.943113\pi\)
\(12\) 1.69717 0.345843i 0.489931 0.0998364i
\(13\) −1.46940 0.848361i −0.407540 0.235293i 0.282192 0.959358i \(-0.408938\pi\)
−0.689732 + 0.724065i \(0.742272\pi\)
\(14\) −1.28626 + 0.742621i −0.343767 + 0.198474i
\(15\) 1.64272 + 0.549077i 0.424147 + 0.141771i
\(16\) 1.00000 0.250000
\(17\) −2.87402 4.97796i −0.697053 1.20733i −0.969484 0.245156i \(-0.921161\pi\)
0.272430 0.962175i \(-0.412173\pi\)
\(18\) 1.17391 + 2.76078i 0.276694 + 0.650723i
\(19\) −1.59932 2.77010i −0.366909 0.635505i 0.622172 0.782881i \(-0.286251\pi\)
−0.989081 + 0.147376i \(0.952917\pi\)
\(20\) 0.866025 + 0.500000i 0.193649 + 0.111803i
\(21\) −1.70520 1.92617i −0.372105 0.420324i
\(22\) −3.71090 2.14249i −0.791168 0.456781i
\(23\) −4.16867 −0.869228 −0.434614 0.900617i \(-0.643115\pi\)
−0.434614 + 0.900617i \(0.643115\pi\)
\(24\) 0.345843 + 1.69717i 0.0705950 + 0.346434i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) 0.848361 1.46940i 0.166377 0.288174i
\(27\) −4.27954 + 2.94713i −0.823597 + 0.567175i
\(28\) −0.742621 1.28626i −0.140342 0.243080i
\(29\) 7.18325 1.33390 0.666948 0.745104i \(-0.267600\pi\)
0.666948 + 0.745104i \(0.267600\pi\)
\(30\) −0.549077 + 1.64272i −0.100247 + 0.299917i
\(31\) 2.50461 + 4.97262i 0.449842 + 0.893108i
\(32\) 1.00000i 0.176777i
\(33\) 2.35279 7.03901i 0.409567 1.22533i
\(34\) 4.97796 2.87402i 0.853712 0.492891i
\(35\) 1.48524i 0.251052i
\(36\) −2.76078 + 1.17391i −0.460131 + 0.195652i
\(37\) 8.23840 4.75644i 1.35438 0.781954i 0.365524 0.930802i \(-0.380890\pi\)
0.988860 + 0.148848i \(0.0475564\pi\)
\(38\) 2.77010 1.59932i 0.449370 0.259444i
\(39\) 2.78723 + 0.931631i 0.446314 + 0.149180i
\(40\) −0.500000 + 0.866025i −0.0790569 + 0.136931i
\(41\) −9.76284 5.63658i −1.52470 0.880286i −0.999572 0.0292626i \(-0.990684\pi\)
−0.525128 0.851023i \(-0.675983\pi\)
\(42\) 1.92617 1.70520i 0.297214 0.263118i
\(43\) 6.44566 3.72140i 0.982954 0.567509i 0.0797934 0.996811i \(-0.474574\pi\)
0.903161 + 0.429303i \(0.141241\pi\)
\(44\) 2.14249 3.71090i 0.322993 0.559440i
\(45\) −2.97787 0.363755i −0.443914 0.0542255i
\(46\) 4.16867i 0.614637i
\(47\) 11.9223i 1.73905i −0.493893 0.869523i \(-0.664426\pi\)
0.493893 0.869523i \(-0.335574\pi\)
\(48\) −1.69717 + 0.345843i −0.244966 + 0.0499182i
\(49\) 2.39703 4.15178i 0.342433 0.593111i
\(50\) −0.866025 + 0.500000i −0.122474 + 0.0707107i
\(51\) 6.59931 + 7.45448i 0.924088 + 1.04384i
\(52\) 1.46940 + 0.848361i 0.203770 + 0.117647i
\(53\) 3.03596 5.25843i 0.417021 0.722302i −0.578617 0.815599i \(-0.696407\pi\)
0.995638 + 0.0932976i \(0.0297408\pi\)
\(54\) −2.94713 4.27954i −0.401053 0.582371i
\(55\) 3.71090 2.14249i 0.500378 0.288894i
\(56\) 1.28626 0.742621i 0.171883 0.0992369i
\(57\) 3.67234 + 4.14822i 0.486413 + 0.549446i
\(58\) 7.18325i 0.943207i
\(59\) 1.18138 0.682072i 0.153803 0.0887983i −0.421123 0.907003i \(-0.638364\pi\)
0.574926 + 0.818205i \(0.305031\pi\)
\(60\) −1.64272 0.549077i −0.212074 0.0708855i
\(61\) 12.5555i 1.60757i 0.594923 + 0.803783i \(0.297183\pi\)
−0.594923 + 0.803783i \(0.702817\pi\)
\(62\) −4.97262 + 2.50461i −0.631523 + 0.318086i
\(63\) 3.56017 + 2.67931i 0.448539 + 0.337561i
\(64\) −1.00000 −0.125000
\(65\) 0.848361 + 1.46940i 0.105226 + 0.182257i
\(66\) 7.03901 + 2.35279i 0.866442 + 0.289608i
\(67\) 5.98520 10.3667i 0.731208 1.26649i −0.225159 0.974322i \(-0.572290\pi\)
0.956367 0.292167i \(-0.0943765\pi\)
\(68\) 2.87402 + 4.97796i 0.348527 + 0.603666i
\(69\) 7.07495 1.44171i 0.851724 0.173561i
\(70\) 1.48524 0.177520
\(71\) −0.650013 0.375285i −0.0771424 0.0445382i 0.460933 0.887435i \(-0.347515\pi\)
−0.538075 + 0.842897i \(0.680848\pi\)
\(72\) −1.17391 2.76078i −0.138347 0.325362i
\(73\) −3.41044 1.96902i −0.399162 0.230456i 0.286960 0.957943i \(-0.407355\pi\)
−0.686122 + 0.727486i \(0.740689\pi\)
\(74\) 4.75644 + 8.23840i 0.552925 + 0.957694i
\(75\) −1.14810 1.29687i −0.132571 0.149750i
\(76\) 1.59932 + 2.77010i 0.183454 + 0.317752i
\(77\) −6.36423 −0.725272
\(78\) −0.931631 + 2.78723i −0.105486 + 0.315592i
\(79\) 9.64630 5.56929i 1.08529 0.626594i 0.152974 0.988230i \(-0.451115\pi\)
0.932319 + 0.361636i \(0.117782\pi\)
\(80\) −0.866025 0.500000i −0.0968246 0.0559017i
\(81\) 6.24387 6.48183i 0.693763 0.720204i
\(82\) 5.63658 9.76284i 0.622456 1.07813i
\(83\) −4.88450 + 8.46021i −0.536144 + 0.928628i 0.462963 + 0.886377i \(0.346786\pi\)
−0.999107 + 0.0422508i \(0.986547\pi\)
\(84\) 1.70520 + 1.92617i 0.186052 + 0.210162i
\(85\) 5.74805i 0.623463i
\(86\) 3.72140 + 6.44566i 0.401289 + 0.695053i
\(87\) −12.1912 + 2.48428i −1.30703 + 0.266343i
\(88\) 3.71090 + 2.14249i 0.395584 + 0.228390i
\(89\) 4.38445 0.464751 0.232376 0.972626i \(-0.425350\pi\)
0.232376 + 0.972626i \(0.425350\pi\)
\(90\) 0.363755 2.97787i 0.0383432 0.313895i
\(91\) 2.52004i 0.264172i
\(92\) 4.16867 0.434614
\(93\) −5.97051 7.57318i −0.619113 0.785302i
\(94\) 11.9223 1.22969
\(95\) 3.19864i 0.328173i
\(96\) −0.345843 1.69717i −0.0352975 0.173217i
\(97\) −14.9295 −1.51586 −0.757928 0.652338i \(-0.773788\pi\)
−0.757928 + 0.652338i \(0.773788\pi\)
\(98\) 4.15178 + 2.39703i 0.419393 + 0.242137i
\(99\) −1.55869 + 12.7601i −0.156654 + 1.28244i
\(100\) −0.500000 0.866025i −0.0500000 0.0866025i
\(101\) 7.89451i 0.785533i −0.919638 0.392767i \(-0.871518\pi\)
0.919638 0.392767i \(-0.128482\pi\)
\(102\) −7.45448 + 6.59931i −0.738104 + 0.653429i
\(103\) 3.33186 5.77095i 0.328298 0.568629i −0.653876 0.756602i \(-0.726858\pi\)
0.982174 + 0.187973i \(0.0601916\pi\)
\(104\) −0.848361 + 1.46940i −0.0831887 + 0.144087i
\(105\) 0.513661 + 2.52071i 0.0501282 + 0.245996i
\(106\) 5.25843 + 3.03596i 0.510744 + 0.294878i
\(107\) −15.9107 + 9.18604i −1.53814 + 0.888048i −0.539197 + 0.842180i \(0.681272\pi\)
−0.998948 + 0.0458681i \(0.985395\pi\)
\(108\) 4.27954 2.94713i 0.411799 0.283588i
\(109\) 0.0754967 0.00723127 0.00361563 0.999993i \(-0.498849\pi\)
0.00361563 + 0.999993i \(0.498849\pi\)
\(110\) 2.14249 + 3.71090i 0.204279 + 0.353821i
\(111\) −12.3370 + 10.9217i −1.17098 + 1.03664i
\(112\) 0.742621 + 1.28626i 0.0701711 + 0.121540i
\(113\) −13.9553 8.05711i −1.31281 0.757949i −0.330246 0.943895i \(-0.607132\pi\)
−0.982560 + 0.185946i \(0.940465\pi\)
\(114\) −4.14822 + 3.67234i −0.388517 + 0.343946i
\(115\) 3.61018 + 2.08434i 0.336651 + 0.194365i
\(116\) −7.18325 −0.666948
\(117\) −5.05261 0.617192i −0.467114 0.0570594i
\(118\) 0.682072 + 1.18138i 0.0627899 + 0.108755i
\(119\) 4.26862 7.39346i 0.391304 0.677758i
\(120\) 0.549077 1.64272i 0.0501236 0.149959i
\(121\) −3.68054 6.37489i −0.334595 0.579535i
\(122\) −12.5555 −1.13672
\(123\) 18.5186 + 6.18983i 1.66977 + 0.558118i
\(124\) −2.50461 4.97262i −0.224921 0.446554i
\(125\) 1.00000i 0.0894427i
\(126\) −2.67931 + 3.56017i −0.238692 + 0.317165i
\(127\) −14.8524 + 8.57505i −1.31794 + 0.760912i −0.983397 0.181468i \(-0.941915\pi\)
−0.334542 + 0.942381i \(0.608582\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) −9.65237 + 8.54505i −0.849844 + 0.752350i
\(130\) −1.46940 + 0.848361i −0.128875 + 0.0744062i
\(131\) 4.66039 2.69068i 0.407180 0.235086i −0.282397 0.959298i \(-0.591130\pi\)
0.689577 + 0.724212i \(0.257796\pi\)
\(132\) −2.35279 + 7.03901i −0.204784 + 0.612667i
\(133\) 2.37537 4.11427i 0.205971 0.356752i
\(134\) 10.3667 + 5.98520i 0.895543 + 0.517042i
\(135\) 5.17975 0.412519i 0.445802 0.0355040i
\(136\) −4.97796 + 2.87402i −0.426856 + 0.246446i
\(137\) 9.99103 17.3050i 0.853591 1.47846i −0.0243552 0.999703i \(-0.507753\pi\)
0.877946 0.478759i \(-0.158913\pi\)
\(138\) 1.44171 + 7.07495i 0.122726 + 0.602260i
\(139\) 8.47702i 0.719011i 0.933143 + 0.359506i \(0.117055\pi\)
−0.933143 + 0.359506i \(0.882945\pi\)
\(140\) 1.48524i 0.125526i
\(141\) 4.12325 + 20.2342i 0.347240 + 1.70403i
\(142\) 0.375285 0.650013i 0.0314932 0.0545479i
\(143\) 6.29638 3.63521i 0.526529 0.303992i
\(144\) 2.76078 1.17391i 0.230065 0.0978259i
\(145\) −6.22087 3.59162i −0.516615 0.298268i
\(146\) 1.96902 3.41044i 0.162957 0.282250i
\(147\) −2.63231 + 7.87527i −0.217109 + 0.649542i
\(148\) −8.23840 + 4.75644i −0.677192 + 0.390977i
\(149\) −1.10104 + 0.635685i −0.0902006 + 0.0520773i −0.544422 0.838812i \(-0.683251\pi\)
0.454221 + 0.890889i \(0.349918\pi\)
\(150\) 1.29687 1.14810i 0.105889 0.0937416i
\(151\) 20.8749i 1.69877i −0.527770 0.849387i \(-0.676972\pi\)
0.527770 0.849387i \(-0.323028\pi\)
\(152\) −2.77010 + 1.59932i −0.224685 + 0.129722i
\(153\) −13.7782 10.3692i −1.11390 0.838301i
\(154\) 6.36423i 0.512845i
\(155\) 0.317249 5.55872i 0.0254820 0.446487i
\(156\) −2.78723 0.931631i −0.223157 0.0745902i
\(157\) −12.7183 −1.01503 −0.507515 0.861643i \(-0.669436\pi\)
−0.507515 + 0.861643i \(0.669436\pi\)
\(158\) 5.56929 + 9.64630i 0.443069 + 0.767418i
\(159\) −3.33395 + 9.97443i −0.264399 + 0.791024i
\(160\) 0.500000 0.866025i 0.0395285 0.0684653i
\(161\) −3.09574 5.36198i −0.243979 0.422583i
\(162\) 6.48183 + 6.24387i 0.509261 + 0.490564i
\(163\) 14.8670 1.16447 0.582235 0.813020i \(-0.302178\pi\)
0.582235 + 0.813020i \(0.302178\pi\)
\(164\) 9.76284 + 5.63658i 0.762350 + 0.440143i
\(165\) −5.55708 + 4.91957i −0.432618 + 0.382988i
\(166\) −8.46021 4.88450i −0.656639 0.379111i
\(167\) 6.42081 + 11.1212i 0.496857 + 0.860581i 0.999993 0.00362562i \(-0.00115407\pi\)
−0.503137 + 0.864207i \(0.667821\pi\)
\(168\) −1.92617 + 1.70520i −0.148607 + 0.131559i
\(169\) −5.06057 8.76516i −0.389274 0.674243i
\(170\) −5.74805 −0.440855
\(171\) −7.66723 5.77020i −0.586328 0.441258i
\(172\) −6.44566 + 3.72140i −0.491477 + 0.283754i
\(173\) −6.38447 3.68607i −0.485402 0.280247i 0.237263 0.971445i \(-0.423750\pi\)
−0.722665 + 0.691198i \(0.757083\pi\)
\(174\) −2.48428 12.1912i −0.188333 0.924213i
\(175\) −0.742621 + 1.28626i −0.0561368 + 0.0972319i
\(176\) −2.14249 + 3.71090i −0.161496 + 0.279720i
\(177\) −1.76912 + 1.56617i −0.132975 + 0.117720i
\(178\) 4.38445i 0.328629i
\(179\) 8.19260 + 14.1900i 0.612344 + 1.06061i 0.990844 + 0.135009i \(0.0431064\pi\)
−0.378501 + 0.925601i \(0.623560\pi\)
\(180\) 2.97787 + 0.363755i 0.221957 + 0.0271127i
\(181\) 0.304556 + 0.175835i 0.0226374 + 0.0130697i 0.511276 0.859417i \(-0.329173\pi\)
−0.488639 + 0.872486i \(0.662506\pi\)
\(182\) 2.52004 0.186798
\(183\) −4.34223 21.3088i −0.320987 1.57519i
\(184\) 4.16867i 0.307319i
\(185\) −9.51288 −0.699401
\(186\) 7.57318 5.97051i 0.555293 0.437779i
\(187\) 24.6303 1.80115
\(188\) 11.9223i 0.869523i
\(189\) −6.96884 3.31598i −0.506908 0.241202i
\(190\) −3.19864 −0.232054
\(191\) −0.457852 0.264341i −0.0331290 0.0191270i 0.483344 0.875430i \(-0.339422\pi\)
−0.516473 + 0.856303i \(0.672755\pi\)
\(192\) 1.69717 0.345843i 0.122483 0.0249591i
\(193\) 1.78569 + 3.09290i 0.128537 + 0.222632i 0.923110 0.384536i \(-0.125639\pi\)
−0.794573 + 0.607168i \(0.792305\pi\)
\(194\) 14.9295i 1.07187i
\(195\) −1.94800 2.20043i −0.139499 0.157576i
\(196\) −2.39703 + 4.15178i −0.171216 + 0.296555i
\(197\) −2.86622 + 4.96444i −0.204210 + 0.353702i −0.949881 0.312613i \(-0.898796\pi\)
0.745671 + 0.666314i \(0.232129\pi\)
\(198\) −12.7601 1.55869i −0.906821 0.110771i
\(199\) −20.8795 12.0548i −1.48011 0.854539i −0.480359 0.877072i \(-0.659494\pi\)
−0.999746 + 0.0225328i \(0.992827\pi\)
\(200\) 0.866025 0.500000i 0.0612372 0.0353553i
\(201\) −6.57266 + 19.6639i −0.463600 + 1.38699i
\(202\) 7.89451 0.555456
\(203\) 5.33443 + 9.23950i 0.374403 + 0.648486i
\(204\) −6.59931 7.45448i −0.462044 0.521918i
\(205\) 5.63658 + 9.76284i 0.393676 + 0.681866i
\(206\) 5.77095 + 3.33186i 0.402081 + 0.232142i
\(207\) −11.5088 + 4.89365i −0.799917 + 0.340132i
\(208\) −1.46940 0.848361i −0.101885 0.0588233i
\(209\) 13.7061 0.948071
\(210\) −2.52071 + 0.513661i −0.173945 + 0.0354460i
\(211\) −1.00482 1.74041i −0.0691750 0.119815i 0.829363 0.558710i \(-0.188703\pi\)
−0.898538 + 0.438895i \(0.855370\pi\)
\(212\) −3.03596 + 5.25843i −0.208510 + 0.361151i
\(213\) 1.23297 + 0.412121i 0.0844820 + 0.0282381i
\(214\) −9.18604 15.9107i −0.627945 1.08763i
\(215\) −7.44281 −0.507595
\(216\) 2.94713 + 4.27954i 0.200527 + 0.291186i
\(217\) −4.53608 + 6.91434i −0.307929 + 0.469376i
\(218\) 0.0754967i 0.00511328i
\(219\) 6.46908 + 2.16229i 0.437140 + 0.146114i
\(220\) −3.71090 + 2.14249i −0.250189 + 0.144447i
\(221\) 9.75284i 0.656047i
\(222\) −10.9217 12.3370i −0.733016 0.828005i
\(223\) −19.3273 + 11.1586i −1.29425 + 0.747237i −0.979405 0.201905i \(-0.935287\pi\)
−0.314847 + 0.949142i \(0.601953\pi\)
\(224\) −1.28626 + 0.742621i −0.0859416 + 0.0496184i
\(225\) 2.39703 + 1.80395i 0.159802 + 0.120264i
\(226\) 8.05711 13.9553i 0.535951 0.928294i
\(227\) −7.92824 4.57737i −0.526216 0.303811i 0.213258 0.976996i \(-0.431592\pi\)
−0.739474 + 0.673185i \(0.764926\pi\)
\(228\) −3.67234 4.14822i −0.243207 0.274723i
\(229\) 4.36925 2.52259i 0.288728 0.166697i −0.348640 0.937257i \(-0.613356\pi\)
0.637368 + 0.770559i \(0.280023\pi\)
\(230\) −2.08434 + 3.61018i −0.137437 + 0.238048i
\(231\) 10.8012 2.20103i 0.710667 0.144817i
\(232\) 7.18325i 0.471603i
\(233\) 16.7182i 1.09525i −0.836725 0.547623i \(-0.815533\pi\)
0.836725 0.547623i \(-0.184467\pi\)
\(234\) 0.617192 5.05261i 0.0403471 0.330299i
\(235\) −5.96115 + 10.3250i −0.388862 + 0.673530i
\(236\) −1.18138 + 0.682072i −0.0769016 + 0.0443991i
\(237\) −14.4453 + 12.7882i −0.938325 + 0.830680i
\(238\) 7.39346 + 4.26862i 0.479247 + 0.276693i
\(239\) 5.18784 8.98561i 0.335574 0.581231i −0.648021 0.761622i \(-0.724403\pi\)
0.983595 + 0.180392i \(0.0577365\pi\)
\(240\) 1.64272 + 0.549077i 0.106037 + 0.0354428i
\(241\) −7.68620 + 4.43763i −0.495112 + 0.285853i −0.726693 0.686963i \(-0.758944\pi\)
0.231581 + 0.972816i \(0.425610\pi\)
\(242\) 6.37489 3.68054i 0.409793 0.236594i
\(243\) −8.35521 + 13.1602i −0.535987 + 0.844226i
\(244\) 12.5555i 0.803783i
\(245\) −4.15178 + 2.39703i −0.265247 + 0.153141i
\(246\) −6.18983 + 18.5186i −0.394649 + 1.18070i
\(247\) 5.42720i 0.345324i
\(248\) 4.97262 2.50461i 0.315761 0.159043i
\(249\) 5.36393 16.0477i 0.339925 1.01698i
\(250\) 1.00000 0.0632456
\(251\) 6.44966 + 11.1711i 0.407099 + 0.705116i 0.994563 0.104134i \(-0.0332070\pi\)
−0.587464 + 0.809250i \(0.699874\pi\)
\(252\) −3.56017 2.67931i −0.224269 0.168780i
\(253\) 8.93135 15.4695i 0.561509 0.972562i
\(254\) −8.57505 14.8524i −0.538046 0.931923i
\(255\) −1.98792 9.75543i −0.124489 0.610908i
\(256\) 1.00000 0.0625000
\(257\) 5.60986 + 3.23885i 0.349933 + 0.202034i 0.664656 0.747150i \(-0.268578\pi\)
−0.314722 + 0.949184i \(0.601911\pi\)
\(258\) −8.54505 9.65237i −0.531992 0.600930i
\(259\) 12.2360 + 7.06446i 0.760309 + 0.438964i
\(260\) −0.848361 1.46940i −0.0526131 0.0911286i
\(261\) 19.8314 8.43249i 1.22753 0.521958i
\(262\) 2.69068 + 4.66039i 0.166231 + 0.287920i
\(263\) 8.12970 0.501299 0.250649 0.968078i \(-0.419356\pi\)
0.250649 + 0.968078i \(0.419356\pi\)
\(264\) −7.03901 2.35279i −0.433221 0.144804i
\(265\) −5.25843 + 3.03596i −0.323023 + 0.186497i
\(266\) 4.11427 + 2.37537i 0.252262 + 0.145644i
\(267\) −7.44117 + 1.51633i −0.455392 + 0.0927981i
\(268\) −5.98520 + 10.3667i −0.365604 + 0.633245i
\(269\) −6.17853 + 10.7015i −0.376711 + 0.652483i −0.990582 0.136924i \(-0.956278\pi\)
0.613870 + 0.789407i \(0.289612\pi\)
\(270\) 0.412519 + 5.17975i 0.0251051 + 0.315230i
\(271\) 24.8981i 1.51245i −0.654311 0.756226i \(-0.727041\pi\)
0.654311 0.756226i \(-0.272959\pi\)
\(272\) −2.87402 4.97796i −0.174263 0.301833i
\(273\) 0.871540 + 4.27694i 0.0527480 + 0.258852i
\(274\) 17.3050 + 9.99103i 1.04543 + 0.603580i
\(275\) −4.28498 −0.258394
\(276\) −7.07495 + 1.44171i −0.425862 + 0.0867806i
\(277\) 0.958749i 0.0576056i 0.999585 + 0.0288028i \(0.00916949\pi\)
−0.999585 + 0.0288028i \(0.990831\pi\)
\(278\) −8.47702 −0.508418
\(279\) 12.7521 + 10.7881i 0.763449 + 0.645868i
\(280\) −1.48524 −0.0887601
\(281\) 26.4095i 1.57546i 0.616023 + 0.787728i \(0.288743\pi\)
−0.616023 + 0.787728i \(0.711257\pi\)
\(282\) −20.2342 + 4.12325i −1.20493 + 0.245536i
\(283\) −9.06729 −0.538994 −0.269497 0.963001i \(-0.586857\pi\)
−0.269497 + 0.963001i \(0.586857\pi\)
\(284\) 0.650013 + 0.375285i 0.0385712 + 0.0222691i
\(285\) −1.10623 5.42864i −0.0655273 0.321565i
\(286\) 3.63521 + 6.29638i 0.214955 + 0.372312i
\(287\) 16.7434i 0.988329i
\(288\) 1.17391 + 2.76078i 0.0691734 + 0.162681i
\(289\) −8.02003 + 13.8911i −0.471766 + 0.817123i
\(290\) 3.59162 6.22087i 0.210907 0.365302i
\(291\) 25.3378 5.16325i 1.48533 0.302675i
\(292\) 3.41044 + 1.96902i 0.199581 + 0.115228i
\(293\) 9.81515 5.66678i 0.573407 0.331057i −0.185102 0.982719i \(-0.559262\pi\)
0.758509 + 0.651663i \(0.225928\pi\)
\(294\) −7.87527 2.63231i −0.459295 0.153519i
\(295\) −1.36414 −0.0794236
\(296\) −4.75644 8.23840i −0.276463 0.478847i
\(297\) −1.76764 22.1952i −0.102569 1.28789i
\(298\) −0.635685 1.10104i −0.0368242 0.0637814i
\(299\) 6.12547 + 3.53654i 0.354245 + 0.204523i
\(300\) 1.14810 + 1.29687i 0.0662853 + 0.0748750i
\(301\) 9.57336 + 5.52718i 0.551799 + 0.318582i
\(302\) 20.8749 1.20121
\(303\) 2.73026 + 13.3983i 0.156850 + 0.769715i
\(304\) −1.59932 2.77010i −0.0917272 0.158876i
\(305\) 6.27775 10.8734i 0.359463 0.622608i
\(306\) 10.3692 13.7782i 0.592769 0.787649i
\(307\) 7.32937 + 12.6948i 0.418309 + 0.724533i 0.995770 0.0918857i \(-0.0292894\pi\)
−0.577460 + 0.816419i \(0.695956\pi\)
\(308\) 6.36423 0.362636
\(309\) −3.65890 + 10.9466i −0.208147 + 0.622731i
\(310\) 5.55872 + 0.317249i 0.315714 + 0.0180185i
\(311\) 5.06981i 0.287482i 0.989615 + 0.143741i \(0.0459133\pi\)
−0.989615 + 0.143741i \(0.954087\pi\)
\(312\) 0.931631 2.78723i 0.0527432 0.157796i
\(313\) 8.89747 5.13696i 0.502915 0.290358i −0.227002 0.973894i \(-0.572892\pi\)
0.729917 + 0.683536i \(0.239559\pi\)
\(314\) 12.7183i 0.717735i
\(315\) −1.74354 4.10043i −0.0982374 0.231033i
\(316\) −9.64630 + 5.56929i −0.542647 + 0.313297i
\(317\) −10.9608 + 6.32820i −0.615618 + 0.355427i −0.775161 0.631764i \(-0.782331\pi\)
0.159543 + 0.987191i \(0.448998\pi\)
\(318\) −9.97443 3.33395i −0.559338 0.186959i
\(319\) −15.3900 + 26.6563i −0.861677 + 1.49247i
\(320\) 0.866025 + 0.500000i 0.0484123 + 0.0279508i
\(321\) 23.8262 21.0929i 1.32985 1.17729i
\(322\) 5.36198 3.09574i 0.298812 0.172519i
\(323\) −9.19296 + 15.9227i −0.511510 + 0.885961i
\(324\) −6.24387 + 6.48183i −0.346881 + 0.360102i
\(325\) 1.69672i 0.0941172i
\(326\) 14.8670i 0.823405i
\(327\) −0.128131 + 0.0261100i −0.00708565 + 0.00144389i
\(328\) −5.63658 + 9.76284i −0.311228 + 0.539063i
\(329\) 15.3351 8.85374i 0.845453 0.488123i
\(330\) −4.91957 5.55708i −0.270813 0.305907i
\(331\) −27.0867 15.6385i −1.48882 0.859570i −0.488901 0.872339i \(-0.662602\pi\)
−0.999918 + 0.0127687i \(0.995935\pi\)
\(332\) 4.88450 8.46021i 0.268072 0.464314i
\(333\) 17.1608 22.8027i 0.940406 1.24958i
\(334\) −11.1212 + 6.42081i −0.608523 + 0.351331i
\(335\) −10.3667 + 5.98520i −0.566391 + 0.327006i
\(336\) −1.70520 1.92617i −0.0930262 0.105081i
\(337\) 9.34441i 0.509022i −0.967070 0.254511i \(-0.918085\pi\)
0.967070 0.254511i \(-0.0819145\pi\)
\(338\) 8.76516 5.06057i 0.476762 0.275259i
\(339\) 26.4711 + 8.84794i 1.43771 + 0.480554i
\(340\) 5.74805i 0.311732i
\(341\) −23.8190 1.35941i −1.28987 0.0736160i
\(342\) 5.77020 7.66723i 0.312016 0.414596i
\(343\) 17.5170 0.945830
\(344\) −3.72140 6.44566i −0.200645 0.347527i
\(345\) −6.84794 2.28892i −0.368681 0.123231i
\(346\) 3.68607 6.38447i 0.198165 0.343231i
\(347\) −4.88948 8.46882i −0.262481 0.454630i 0.704420 0.709784i \(-0.251207\pi\)
−0.966901 + 0.255154i \(0.917874\pi\)
\(348\) 12.1912 2.48428i 0.653517 0.133171i
\(349\) −15.4112 −0.824940 −0.412470 0.910971i \(-0.635334\pi\)
−0.412470 + 0.910971i \(0.635334\pi\)
\(350\) −1.28626 0.742621i −0.0687533 0.0396947i
\(351\) 8.78860 0.699931i 0.469101 0.0373595i
\(352\) −3.71090 2.14249i −0.197792 0.114195i
\(353\) 8.84422 + 15.3186i 0.470730 + 0.815329i 0.999440 0.0334742i \(-0.0106572\pi\)
−0.528709 + 0.848803i \(0.677324\pi\)
\(354\) −1.56617 1.76912i −0.0832409 0.0940278i
\(355\) 0.375285 + 0.650013i 0.0199181 + 0.0344991i
\(356\) −4.38445 −0.232376
\(357\) −4.68760 + 14.0243i −0.248094 + 0.742242i
\(358\) −14.1900 + 8.19260i −0.749965 + 0.432992i
\(359\) 2.07009 + 1.19517i 0.109255 + 0.0630786i 0.553632 0.832761i \(-0.313241\pi\)
−0.444377 + 0.895840i \(0.646575\pi\)
\(360\) −0.363755 + 2.97787i −0.0191716 + 0.156947i
\(361\) 4.38436 7.59393i 0.230756 0.399681i
\(362\) −0.175835 + 0.304556i −0.00924170 + 0.0160071i
\(363\) 8.45123 + 9.54639i 0.443574 + 0.501055i
\(364\) 2.52004i 0.132086i
\(365\) 1.96902 + 3.41044i 0.103063 + 0.178511i
\(366\) 21.3088 4.34223i 1.11383 0.226972i
\(367\) 24.6528 + 14.2333i 1.28687 + 0.742973i 0.978094 0.208163i \(-0.0667485\pi\)
0.308773 + 0.951136i \(0.400082\pi\)
\(368\) −4.16867 −0.217307
\(369\) −33.5699 4.10067i −1.74758 0.213473i
\(370\) 9.51288i 0.494551i
\(371\) 9.01826 0.468205
\(372\) 5.97051 + 7.57318i 0.309556 + 0.392651i
\(373\) 8.75126 0.453123 0.226561 0.973997i \(-0.427252\pi\)
0.226561 + 0.973997i \(0.427252\pi\)
\(374\) 24.6303i 1.27360i
\(375\) 0.345843 + 1.69717i 0.0178593 + 0.0876416i
\(376\) −11.9223 −0.614846
\(377\) −10.5551 6.09399i −0.543615 0.313856i
\(378\) 3.31598 6.96884i 0.170556 0.358438i
\(379\) 10.8559 + 18.8030i 0.557631 + 0.965846i 0.997694 + 0.0678785i \(0.0216230\pi\)
−0.440062 + 0.897967i \(0.645044\pi\)
\(380\) 3.19864i 0.164087i
\(381\) 22.2415 19.6899i 1.13947 1.00875i
\(382\) 0.264341 0.457852i 0.0135249 0.0234257i
\(383\) 5.76820 9.99081i 0.294741 0.510506i −0.680184 0.733042i \(-0.738100\pi\)
0.974925 + 0.222535i \(0.0714333\pi\)
\(384\) 0.345843 + 1.69717i 0.0176487 + 0.0866084i
\(385\) 5.51159 + 3.18212i 0.280897 + 0.162176i
\(386\) −3.09290 + 1.78569i −0.157425 + 0.0908891i
\(387\) 13.4265 17.8406i 0.682507 0.906890i
\(388\) 14.9295 0.757928
\(389\) −3.78040 6.54785i −0.191674 0.331989i 0.754131 0.656724i \(-0.228058\pi\)
−0.945805 + 0.324735i \(0.894725\pi\)
\(390\) 2.20043 1.94800i 0.111423 0.0986407i
\(391\) 11.9809 + 20.7515i 0.605898 + 1.04945i
\(392\) −4.15178 2.39703i −0.209696 0.121068i
\(393\) −6.97893 + 6.17831i −0.352040 + 0.311654i
\(394\) −4.96444 2.86622i −0.250105 0.144398i
\(395\) −11.1386 −0.560443
\(396\) 1.55869 12.7601i 0.0783269 0.641219i
\(397\) −14.1004 24.4225i −0.707676 1.22573i −0.965717 0.259597i \(-0.916410\pi\)
0.258041 0.966134i \(-0.416923\pi\)
\(398\) 12.0548 20.8795i 0.604250 1.04659i
\(399\) −2.60853 + 7.80413i −0.130590 + 0.390695i
\(400\) 0.500000 + 0.866025i 0.0250000 + 0.0433013i
\(401\) −30.4667 −1.52143 −0.760716 0.649084i \(-0.775152\pi\)
−0.760716 + 0.649084i \(0.775152\pi\)
\(402\) −19.6639 6.57266i −0.980749 0.327815i
\(403\) 0.538283 9.43160i 0.0268138 0.469822i
\(404\) 7.89451i 0.392767i
\(405\) −8.64826 + 2.49150i −0.429736 + 0.123804i
\(406\) −9.23950 + 5.33443i −0.458549 + 0.264743i
\(407\) 40.7626i 2.02052i
\(408\) 7.45448 6.59931i 0.369052 0.326714i
\(409\) 20.2072 11.6666i 0.999180 0.576877i 0.0911742 0.995835i \(-0.470938\pi\)
0.908005 + 0.418958i \(0.137605\pi\)
\(410\) −9.76284 + 5.63658i −0.482152 + 0.278371i
\(411\) −10.9717 + 32.8248i −0.541193 + 1.61913i
\(412\) −3.33186 + 5.77095i −0.164149 + 0.284315i
\(413\) 1.75464 + 1.01304i 0.0863402 + 0.0498485i
\(414\) −4.89365 11.5088i −0.240510 0.565627i
\(415\) 8.46021 4.88450i 0.415295 0.239771i
\(416\) 0.848361 1.46940i 0.0415943 0.0720435i
\(417\) −2.93172 14.3870i −0.143567 0.704532i
\(418\) 13.7061i 0.670388i
\(419\) 13.0350i 0.636804i −0.947956 0.318402i \(-0.896854\pi\)
0.947956 0.318402i \(-0.103146\pi\)
\(420\) −0.513661 2.52071i −0.0250641 0.122998i
\(421\) 3.07421 5.32469i 0.149828 0.259510i −0.781336 0.624111i \(-0.785461\pi\)
0.931164 + 0.364601i \(0.118795\pi\)
\(422\) 1.74041 1.00482i 0.0847217 0.0489141i
\(423\) −13.9957 32.9149i −0.680495 1.60038i
\(424\) −5.25843 3.03596i −0.255372 0.147439i
\(425\) 2.87402 4.97796i 0.139411 0.241466i
\(426\) −0.412121 + 1.23297i −0.0199673 + 0.0597378i
\(427\) −16.1496 + 9.32397i −0.781533 + 0.451218i
\(428\) 15.9107 9.18604i 0.769072 0.444024i
\(429\) −9.42882 + 8.34714i −0.455228 + 0.403004i
\(430\) 7.44281i 0.358924i
\(431\) −21.6097 + 12.4764i −1.04090 + 0.600967i −0.920089 0.391708i \(-0.871884\pi\)
−0.120815 + 0.992675i \(0.538551\pi\)
\(432\) −4.27954 + 2.94713i −0.205899 + 0.141794i
\(433\) 8.45564i 0.406352i −0.979142 0.203176i \(-0.934874\pi\)
0.979142 0.203176i \(-0.0651264\pi\)
\(434\) −6.91434 4.53608i −0.331899 0.217739i
\(435\) 11.8000 + 3.94415i 0.565768 + 0.189108i
\(436\) −0.0754967 −0.00361563
\(437\) 6.66704 + 11.5476i 0.318928 + 0.552399i
\(438\) −2.16229 + 6.46908i −0.103318 + 0.309105i
\(439\) −5.15491 + 8.92856i −0.246030 + 0.426137i −0.962421 0.271563i \(-0.912460\pi\)
0.716390 + 0.697700i \(0.245793\pi\)
\(440\) −2.14249 3.71090i −0.102139 0.176910i
\(441\) 1.74387 14.2761i 0.0830412 0.679812i
\(442\) −9.75284 −0.463895
\(443\) 7.42343 + 4.28592i 0.352698 + 0.203630i 0.665873 0.746065i \(-0.268059\pi\)
−0.313175 + 0.949695i \(0.601393\pi\)
\(444\) 12.3370 10.9217i 0.585488 0.518321i
\(445\) −3.79705 2.19223i −0.179997 0.103921i
\(446\) −11.1586 19.3273i −0.528376 0.915175i
\(447\) 1.64880 1.45965i 0.0779857 0.0690392i
\(448\) −0.742621 1.28626i −0.0350855 0.0607699i
\(449\) 40.5736 1.91479 0.957393 0.288787i \(-0.0932521\pi\)
0.957393 + 0.288787i \(0.0932521\pi\)
\(450\) −1.80395 + 2.39703i −0.0850392 + 0.112997i
\(451\) 41.8336 24.1527i 1.96987 1.13730i
\(452\) 13.9553 + 8.05711i 0.656403 + 0.378974i
\(453\) 7.21944 + 35.4283i 0.339199 + 1.66457i
\(454\) 4.57737 7.92824i 0.214827 0.372091i
\(455\) −1.26002 + 2.18242i −0.0590707 + 0.102313i
\(456\) 4.14822 3.67234i 0.194258 0.171973i
\(457\) 33.0592i 1.54644i 0.634136 + 0.773222i \(0.281356\pi\)
−0.634136 + 0.773222i \(0.718644\pi\)
\(458\) 2.52259 + 4.36925i 0.117873 + 0.204162i
\(459\) 26.9702 + 12.8332i 1.25886 + 0.599004i
\(460\) −3.61018 2.08434i −0.168325 0.0971827i
\(461\) 2.92110 0.136049 0.0680246 0.997684i \(-0.478330\pi\)
0.0680246 + 0.997684i \(0.478330\pi\)
\(462\) 2.20103 + 10.8012i 0.102401 + 0.502517i
\(463\) 23.0953i 1.07333i 0.843795 + 0.536665i \(0.180316\pi\)
−0.843795 + 0.536665i \(0.819684\pi\)
\(464\) 7.18325 0.333474
\(465\) 1.38402 + 9.54382i 0.0641824 + 0.442584i
\(466\) 16.7182 0.774456
\(467\) 21.7637i 1.00711i −0.863964 0.503553i \(-0.832026\pi\)
0.863964 0.503553i \(-0.167974\pi\)
\(468\) 5.05261 + 0.617192i 0.233557 + 0.0285297i
\(469\) 17.7789 0.820954
\(470\) −10.3250 5.96115i −0.476257 0.274967i
\(471\) 21.5851 4.39854i 0.994591 0.202674i
\(472\) −0.682072 1.18138i −0.0313949 0.0543776i
\(473\) 31.8923i 1.46641i
\(474\) −12.7882 14.4453i −0.587379 0.663496i
\(475\) 1.59932 2.77010i 0.0733818 0.127101i
\(476\) −4.26862 + 7.39346i −0.195652 + 0.338879i
\(477\) 2.20869 18.0814i 0.101129 0.827888i
\(478\) 8.98561 + 5.18784i 0.410992 + 0.237286i
\(479\) −1.92376 + 1.11069i −0.0878991 + 0.0507485i −0.543305 0.839535i \(-0.682827\pi\)
0.455406 + 0.890284i \(0.349494\pi\)
\(480\) −0.549077 + 1.64272i −0.0250618 + 0.0749794i
\(481\) −16.1407 −0.735954
\(482\) −4.43763 7.68620i −0.202129 0.350097i
\(483\) 7.10841 + 8.02956i 0.323444 + 0.365358i
\(484\) 3.68054 + 6.37489i 0.167297 + 0.289768i
\(485\) 12.9293 + 7.46473i 0.587089 + 0.338956i
\(486\) −13.1602 8.35521i −0.596958 0.379000i
\(487\) −20.5993 11.8930i −0.933445 0.538925i −0.0455457 0.998962i \(-0.514503\pi\)
−0.887900 + 0.460037i \(0.847836\pi\)
\(488\) 12.5555 0.568360
\(489\) −25.2318 + 5.14164i −1.14102 + 0.232513i
\(490\) −2.39703 4.15178i −0.108287 0.187558i
\(491\) −3.47887 + 6.02558i −0.156999 + 0.271931i −0.933785 0.357834i \(-0.883515\pi\)
0.776786 + 0.629765i \(0.216849\pi\)
\(492\) −18.5186 6.18983i −0.834883 0.279059i
\(493\) −20.6448 35.7579i −0.929796 1.61045i
\(494\) −5.42720 −0.244181
\(495\) 7.72991 10.2712i 0.347434 0.461658i
\(496\) 2.50461 + 4.97262i 0.112460 + 0.223277i
\(497\) 1.11478i 0.0500046i
\(498\) 16.0477 + 5.36393i 0.719114 + 0.240364i
\(499\) −15.0370 + 8.68160i −0.673147 + 0.388642i −0.797268 0.603626i \(-0.793722\pi\)
0.124121 + 0.992267i \(0.460389\pi\)
\(500\) 1.00000i 0.0447214i
\(501\) −14.7434 16.6539i −0.658686 0.744043i
\(502\) −11.1711 + 6.44966i −0.498593 + 0.287863i
\(503\) −2.94516 + 1.70039i −0.131318 + 0.0758166i −0.564220 0.825624i \(-0.690823\pi\)
0.432902 + 0.901441i \(0.357490\pi\)
\(504\) 2.67931 3.56017i 0.119346 0.158582i
\(505\) −3.94726 + 6.83685i −0.175651 + 0.304236i
\(506\) 15.4695 + 8.93135i 0.687705 + 0.397047i
\(507\) 11.6200 + 13.1258i 0.516063 + 0.582938i
\(508\) 14.8524 8.57505i 0.658969 0.380456i
\(509\) −1.23751 + 2.14342i −0.0548515 + 0.0950055i −0.892147 0.451745i \(-0.850802\pi\)
0.837296 + 0.546750i \(0.184135\pi\)
\(510\) 9.75543 1.98792i 0.431977 0.0880268i
\(511\) 5.84894i 0.258742i
\(512\) 1.00000i 0.0441942i
\(513\) 15.0082 + 7.14135i 0.662628 + 0.315298i
\(514\) −3.23885 + 5.60986i −0.142860 + 0.247440i
\(515\) −5.77095 + 3.33186i −0.254299 + 0.146819i
\(516\) 9.65237 8.54505i 0.424922 0.376175i
\(517\) 44.2425 + 25.5434i 1.94578 + 1.12340i
\(518\) −7.06446 + 12.2360i −0.310395 + 0.537619i
\(519\) 12.1103 + 4.04788i 0.531585 + 0.177682i
\(520\) 1.46940 0.848361i 0.0644377 0.0372031i
\(521\) 18.8893 10.9057i 0.827554 0.477789i −0.0254604 0.999676i \(-0.508105\pi\)
0.853014 + 0.521887i \(0.174772\pi\)
\(522\) 8.43249 + 19.8314i 0.369080 + 0.867997i
\(523\) 29.7300i 1.30000i −0.759932 0.650002i \(-0.774768\pi\)
0.759932 0.650002i \(-0.225232\pi\)
\(524\) −4.66039 + 2.69068i −0.203590 + 0.117543i
\(525\) 0.815512 2.43983i 0.0355918 0.106483i
\(526\) 8.12970i 0.354472i
\(527\) 17.5551 26.7593i 0.764714 1.16565i
\(528\) 2.35279 7.03901i 0.102392 0.306334i
\(529\) −5.62217 −0.244442
\(530\) −3.03596 5.25843i −0.131874 0.228412i
\(531\) 2.46085 3.26990i 0.106792 0.141901i
\(532\) −2.37537 + 4.11427i −0.102986 + 0.178376i
\(533\) 9.56371 + 16.5648i 0.414250 + 0.717503i
\(534\) −1.51633 7.44117i −0.0656182 0.322011i
\(535\) 18.3721 0.794294
\(536\) −10.3667 5.98520i −0.447772 0.258521i
\(537\) −18.8118 21.2495i −0.811787 0.916984i
\(538\) −10.7015 6.17853i −0.461375 0.266375i
\(539\) 10.2712 + 17.7903i 0.442413 + 0.766282i
\(540\) −5.17975 + 0.412519i −0.222901 + 0.0177520i
\(541\) 6.49989 + 11.2581i 0.279452 + 0.484026i 0.971249 0.238067i \(-0.0765138\pi\)
−0.691796 + 0.722093i \(0.743180\pi\)
\(542\) 24.8981 1.06946
\(543\) −0.577695 0.193094i −0.0247913 0.00828646i
\(544\) 4.97796 2.87402i 0.213428 0.123223i
\(545\) −0.0653820 0.0377483i −0.00280066 0.00161696i
\(546\) −4.27694 + 0.871540i −0.183036 + 0.0372985i
\(547\) 5.95679 10.3175i 0.254694 0.441143i −0.710118 0.704082i \(-0.751359\pi\)
0.964812 + 0.262939i \(0.0846919\pi\)
\(548\) −9.99103 + 17.3050i −0.426795 + 0.739231i
\(549\) 14.7390 + 34.6630i 0.629047 + 1.47938i
\(550\) 4.28498i 0.182712i
\(551\) −11.4883 19.8983i −0.489418 0.847697i
\(552\) −1.44171 7.07495i −0.0613631 0.301130i
\(553\) 14.3271 + 8.27174i 0.609249 + 0.351750i
\(554\) −0.958749 −0.0407333
\(555\) 16.1450 3.28997i 0.685317 0.139651i
\(556\) 8.47702i 0.359506i
\(557\) 16.7531 0.709853 0.354927 0.934894i \(-0.384506\pi\)
0.354927 + 0.934894i \(0.384506\pi\)
\(558\) −10.7881 + 12.7521i −0.456698 + 0.539840i
\(559\) −12.6284 −0.534124
\(560\) 1.48524i 0.0627629i
\(561\) −41.8018 + 8.51822i −1.76488 + 0.359640i
\(562\) −26.4095 −1.11402
\(563\) −19.8195 11.4428i −0.835291 0.482255i 0.0203699 0.999793i \(-0.493516\pi\)
−0.855661 + 0.517537i \(0.826849\pi\)
\(564\) −4.12325 20.2342i −0.173620 0.852013i
\(565\) 8.05711 + 13.9553i 0.338965 + 0.587105i
\(566\) 9.06729i 0.381127i
\(567\) 12.9741 + 3.21767i 0.544862 + 0.135129i
\(568\) −0.375285 + 0.650013i −0.0157466 + 0.0272740i
\(569\) 6.49170 11.2440i 0.272146 0.471371i −0.697265 0.716814i \(-0.745600\pi\)
0.969411 + 0.245442i \(0.0789332\pi\)
\(570\) 5.42864 1.10623i 0.227381 0.0463348i
\(571\) −21.3534 12.3284i −0.893613 0.515927i −0.0184902 0.999829i \(-0.505886\pi\)
−0.875122 + 0.483902i \(0.839219\pi\)
\(572\) −6.29638 + 3.63521i −0.263265 + 0.151996i
\(573\) 0.868474 + 0.290287i 0.0362810 + 0.0121269i
\(574\) 16.7434 0.698854
\(575\) −2.08434 3.61018i −0.0869228 0.150555i
\(576\) −2.76078 + 1.17391i −0.115033 + 0.0489130i
\(577\) −3.59472 6.22623i −0.149650 0.259202i 0.781448 0.623970i \(-0.214481\pi\)
−0.931098 + 0.364769i \(0.881148\pi\)
\(578\) −13.8911 8.02003i −0.577793 0.333589i
\(579\) −4.10028 4.63162i −0.170402 0.192484i
\(580\) 6.22087 + 3.59162i 0.258308 + 0.149134i
\(581\) −14.5093 −0.601948
\(582\) 5.16325 + 25.3378i 0.214024 + 1.05029i
\(583\) 13.0090 + 22.5323i 0.538779 + 0.933193i
\(584\) −1.96902 + 3.41044i −0.0814787 + 0.141125i
\(585\) 4.06709 + 3.06081i 0.168154 + 0.126549i
\(586\) 5.66678 + 9.81515i 0.234092 + 0.405460i
\(587\) 3.95908 0.163409 0.0817044 0.996657i \(-0.473964\pi\)
0.0817044 + 0.996657i \(0.473964\pi\)
\(588\) 2.63231 7.87527i 0.108554 0.324771i
\(589\) 9.76897 14.8908i 0.402524 0.613566i
\(590\) 1.36414i 0.0561610i
\(591\) 3.14755 9.41678i 0.129473 0.387354i
\(592\) 8.23840 4.75644i 0.338596 0.195489i
\(593\) 27.4216i 1.12607i −0.826433 0.563035i \(-0.809634\pi\)
0.826433 0.563035i \(-0.190366\pi\)
\(594\) 22.1952 1.76764i 0.910678 0.0725271i
\(595\) −7.39346 + 4.26862i −0.303102 + 0.174996i
\(596\) 1.10104 0.635685i 0.0451003 0.0260387i
\(597\) 39.6051 + 13.2380i 1.62093 + 0.541794i
\(598\) −3.53654 + 6.12547i −0.144620 + 0.250489i
\(599\) −21.3073 12.3018i −0.870593 0.502637i −0.00304762 0.999995i \(-0.500970\pi\)
−0.867545 + 0.497358i \(0.834303\pi\)
\(600\) −1.29687 + 1.14810i −0.0529446 + 0.0468708i
\(601\) −10.4607 + 6.03950i −0.426701 + 0.246356i −0.697940 0.716156i \(-0.745900\pi\)
0.271239 + 0.962512i \(0.412567\pi\)
\(602\) −5.52718 + 9.57336i −0.225271 + 0.390181i
\(603\) 4.35430 35.6462i 0.177321 1.45163i
\(604\) 20.8749i 0.849387i
\(605\) 7.36109i 0.299271i
\(606\) −13.3983 + 2.73026i −0.544271 + 0.110909i
\(607\) 14.8047 25.6424i 0.600903 1.04079i −0.391781 0.920058i \(-0.628141\pi\)
0.992685 0.120737i \(-0.0385256\pi\)
\(608\) 2.77010 1.59932i 0.112342 0.0648609i
\(609\) −12.2489 13.8361i −0.496349 0.560669i
\(610\) 10.8734 + 6.27775i 0.440250 + 0.254178i
\(611\) −10.1144 + 17.5187i −0.409185 + 0.708730i
\(612\) 13.7782 + 10.3692i 0.556952 + 0.419151i
\(613\) −15.6867 + 9.05675i −0.633582 + 0.365799i −0.782138 0.623105i \(-0.785871\pi\)
0.148556 + 0.988904i \(0.452537\pi\)
\(614\) −12.6948 + 7.32937i −0.512322 + 0.295789i
\(615\) −12.9427 14.6198i −0.521898 0.589529i
\(616\) 6.36423i 0.256422i
\(617\) 9.02116 5.20837i 0.363178 0.209681i −0.307296 0.951614i \(-0.599424\pi\)
0.670474 + 0.741933i \(0.266091\pi\)
\(618\) −10.9466 3.65890i −0.440337 0.147182i
\(619\) 15.4259i 0.620018i −0.950734 0.310009i \(-0.899668\pi\)
0.950734 0.310009i \(-0.100332\pi\)
\(620\) −0.317249 + 5.55872i −0.0127410 + 0.223244i
\(621\) 17.8400 12.2856i 0.715894 0.493005i
\(622\) −5.06981 −0.203281
\(623\) 3.25598 + 5.63953i 0.130448 + 0.225943i
\(624\) 2.78723 + 0.931631i 0.111579 + 0.0372951i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 5.13696 + 8.89747i 0.205314 + 0.355615i
\(627\) −23.2616 + 4.74017i −0.928980 + 0.189304i
\(628\) 12.7183 0.507515
\(629\) −47.3547 27.3403i −1.88816 1.09013i
\(630\) 4.10043 1.74354i 0.163365 0.0694643i
\(631\) −29.5735 17.0743i −1.17730 0.679716i −0.221913 0.975066i \(-0.571230\pi\)
−0.955389 + 0.295351i \(0.904563\pi\)
\(632\) −5.56929 9.64630i −0.221535 0.383709i
\(633\) 2.30727 + 2.60626i 0.0917057 + 0.103589i
\(634\) −6.32820 10.9608i −0.251325 0.435307i
\(635\) 17.1501 0.680581
\(636\) 3.33395 9.97443i 0.132200 0.395512i
\(637\) −7.04441 + 4.06709i −0.279110 + 0.161144i
\(638\) −26.6563 15.3900i −1.05533 0.609298i
\(639\) −2.23510 0.273024i −0.0884191 0.0108007i
\(640\) −0.500000 + 0.866025i −0.0197642 + 0.0342327i
\(641\) −0.0147605 + 0.0255660i −0.000583005 + 0.00100979i −0.866317 0.499495i \(-0.833519\pi\)
0.865734 + 0.500505i \(0.166852\pi\)
\(642\) 21.0929 + 23.8262i 0.832470 + 0.940347i
\(643\) 35.8603i 1.41419i 0.707117 + 0.707097i \(0.249995\pi\)
−0.707117 + 0.707097i \(0.750005\pi\)
\(644\) 3.09574 + 5.36198i 0.121989 + 0.211292i
\(645\) 12.6317 2.57405i 0.497374 0.101353i
\(646\) −15.9227 9.19296i −0.626469 0.361692i
\(647\) 20.2804 0.797307 0.398653 0.917102i \(-0.369478\pi\)
0.398653 + 0.917102i \(0.369478\pi\)
\(648\) −6.48183 6.24387i −0.254630 0.245282i
\(649\) 5.84534i 0.229450i
\(650\) 1.69672 0.0665509
\(651\) 5.30723 13.3036i 0.208007 0.521409i
\(652\) −14.8670 −0.582235
\(653\) 38.1868i 1.49436i −0.664619 0.747182i \(-0.731406\pi\)
0.664619 0.747182i \(-0.268594\pi\)
\(654\) −0.0261100 0.128131i −0.00102098 0.00501031i
\(655\) −5.38136 −0.210267
\(656\) −9.76284 5.63658i −0.381175 0.220071i
\(657\) −11.7270 1.43248i −0.457512 0.0558865i
\(658\) 8.85374 + 15.3351i 0.345155 + 0.597826i
\(659\) 7.51357i 0.292687i 0.989234 + 0.146344i \(0.0467505\pi\)
−0.989234 + 0.146344i \(0.953250\pi\)
\(660\) 5.55708 4.91957i 0.216309 0.191494i
\(661\) 8.34254 14.4497i 0.324487 0.562028i −0.656921 0.753959i \(-0.728142\pi\)
0.981408 + 0.191931i \(0.0614749\pi\)
\(662\) 15.6385 27.0867i 0.607808 1.05275i
\(663\) −3.37296 16.5522i −0.130995 0.642836i
\(664\) 8.46021 + 4.88450i 0.328320 + 0.189555i
\(665\) −4.11427 + 2.37537i −0.159544 + 0.0921131i
\(666\) 22.8027 + 17.1608i 0.883585 + 0.664968i
\(667\) −29.9446 −1.15946
\(668\) −6.42081 11.1212i −0.248428 0.430291i
\(669\) 28.9426 25.6223i 1.11899 0.990616i
\(670\) −5.98520 10.3667i −0.231228 0.400499i
\(671\) −46.5922 26.9000i −1.79867 1.03846i
\(672\) 1.92617 1.70520i 0.0743035 0.0657794i
\(673\) −9.55123 5.51440i −0.368173 0.212565i 0.304487 0.952516i \(-0.401515\pi\)
−0.672660 + 0.739952i \(0.734848\pi\)
\(674\) 9.34441 0.359933
\(675\) −4.69206 2.23262i −0.180597 0.0859337i
\(676\) 5.06057 + 8.76516i 0.194637 + 0.337121i
\(677\) 10.5122 18.2077i 0.404017 0.699778i −0.590189 0.807265i \(-0.700947\pi\)
0.994207 + 0.107487i \(0.0342803\pi\)
\(678\) −8.84794 + 26.4711i −0.339803 + 1.01662i
\(679\) −11.0869 19.2031i −0.425477 0.736948i
\(680\) 5.74805 0.220428
\(681\) 15.0386 + 5.02665i 0.576282 + 0.192622i
\(682\) 1.35941 23.8190i 0.0520543 0.912077i
\(683\) 11.4530i 0.438239i −0.975698 0.219119i \(-0.929682\pi\)
0.975698 0.219119i \(-0.0703184\pi\)
\(684\) 7.66723 + 5.77020i 0.293164 + 0.220629i
\(685\) −17.3050 + 9.99103i −0.661189 + 0.381737i
\(686\) 17.5170i 0.668803i
\(687\) −6.54295 + 5.79234i −0.249629 + 0.220992i
\(688\) 6.44566 3.72140i 0.245739 0.141877i
\(689\) −8.92210 + 5.15118i −0.339905 + 0.196244i
\(690\) 2.28892 6.84794i 0.0871377 0.260697i
\(691\) 4.67107 8.09053i 0.177696 0.307778i −0.763395 0.645932i \(-0.776469\pi\)
0.941091 + 0.338154i \(0.109802\pi\)
\(692\) 6.38447 + 3.68607i 0.242701 + 0.140124i
\(693\) −17.5703 + 7.47105i −0.667440 + 0.283802i
\(694\) 8.46882 4.88948i 0.321472 0.185602i
\(695\) 4.23851 7.34131i 0.160776 0.278472i
\(696\) 2.48428 + 12.1912i 0.0941663 + 0.462106i
\(697\) 64.7987i 2.45442i
\(698\) 15.4112i 0.583321i
\(699\) 5.78188 + 28.3737i 0.218691 + 1.07319i
\(700\) 0.742621 1.28626i 0.0280684 0.0486159i
\(701\) 30.3210 17.5058i 1.14521 0.661186i 0.197493 0.980304i \(-0.436720\pi\)
0.947715 + 0.319118i \(0.103387\pi\)
\(702\) 0.699931 + 8.78860i 0.0264172 + 0.331704i
\(703\) −26.3517 15.2141i −0.993871 0.573812i
\(704\) 2.14249 3.71090i 0.0807482 0.139860i
\(705\) 6.54626 19.5849i 0.246546 0.737612i
\(706\) −15.3186 + 8.84422i −0.576524 + 0.332857i
\(707\) 10.1544 5.86263i 0.381894 0.220487i
\(708\) 1.76912 1.56617i 0.0664877 0.0588602i
\(709\) 22.0096i 0.826587i −0.910598 0.413294i \(-0.864378\pi\)
0.910598 0.413294i \(-0.135622\pi\)
\(710\) −0.650013 + 0.375285i −0.0243946 + 0.0140842i
\(711\) 20.0935 26.6995i 0.753565 1.00131i
\(712\) 4.38445i 0.164314i
\(713\) −10.4409 20.7292i −0.391015 0.776315i
\(714\) −14.0243 4.68760i −0.524844 0.175429i
\(715\) −7.27043 −0.271899
\(716\) −8.19260 14.1900i −0.306172 0.530305i
\(717\) −5.69705 + 17.0443i −0.212760 + 0.636531i
\(718\) −1.19517 + 2.07009i −0.0446033 + 0.0772552i
\(719\) −12.7636 22.1072i −0.476002 0.824460i 0.523620 0.851952i \(-0.324581\pi\)
−0.999622 + 0.0274921i \(0.991248\pi\)
\(720\) −2.97787 0.363755i −0.110978 0.0135564i
\(721\) 9.89724 0.368592
\(722\) 7.59393 + 4.38436i 0.282617 + 0.163169i
\(723\) 11.5101 10.1896i 0.428065 0.378957i
\(724\) −0.304556 0.175835i −0.0113187 0.00653487i
\(725\) 3.59162 + 6.22087i 0.133390 + 0.231037i
\(726\) −9.54639 + 8.45123i −0.354300 + 0.313654i
\(727\) 24.4903 + 42.4184i 0.908294 + 1.57321i 0.816434 + 0.577439i \(0.195948\pi\)
0.0918596 + 0.995772i \(0.470719\pi\)
\(728\) −2.52004 −0.0933990
\(729\) 9.62887 25.2247i 0.356625 0.934248i
\(730\) −3.41044 + 1.96902i −0.126226 + 0.0728767i
\(731\) −37.0500 21.3908i −1.37034 0.791168i
\(732\) 4.34223 + 21.3088i 0.160494 + 0.787597i
\(733\) −22.4311 + 38.8518i −0.828511 + 1.43502i 0.0706944 + 0.997498i \(0.477479\pi\)
−0.899206 + 0.437526i \(0.855855\pi\)
\(734\) −14.2333 + 24.6528i −0.525361 + 0.909952i
\(735\) 6.21728 5.50403i 0.229328 0.203019i
\(736\) 4.16867i 0.153659i
\(737\) 25.6465 + 44.4210i 0.944700 + 1.63627i
\(738\) 4.10067 33.5699i 0.150948 1.23573i
\(739\) 11.5825 + 6.68715i 0.426068 + 0.245991i 0.697670 0.716419i \(-0.254220\pi\)
−0.271602 + 0.962410i \(0.587553\pi\)
\(740\) 9.51288 0.349701
\(741\) −1.87696 9.21089i −0.0689519 0.338371i
\(742\) 9.01826i 0.331071i
\(743\) 3.33359 0.122298 0.0611488 0.998129i \(-0.480524\pi\)
0.0611488 + 0.998129i \(0.480524\pi\)
\(744\) −7.57318 + 5.97051i −0.277646 + 0.218889i
\(745\) 1.27137 0.0465794
\(746\) 8.75126i 0.320406i
\(747\) −3.55353 + 29.0908i −0.130017 + 1.06438i
\(748\) −24.6303 −0.900573
\(749\) −23.6312 13.6435i −0.863466 0.498522i
\(750\) −1.69717 + 0.345843i −0.0619720 + 0.0126284i
\(751\) 27.1330 + 46.9957i 0.990097 + 1.71490i 0.616628 + 0.787255i \(0.288498\pi\)
0.373469 + 0.927643i \(0.378168\pi\)
\(752\) 11.9223i 0.434761i
\(753\) −14.8097 16.7288i −0.539694 0.609631i
\(754\) 6.09399 10.5551i 0.221930 0.384394i
\(755\) −10.4374 + 18.0782i −0.379857 + 0.657932i
\(756\) 6.96884 + 3.31598i 0.253454 + 0.120601i
\(757\) −21.3239 12.3114i −0.775030 0.447464i 0.0596361 0.998220i \(-0.481006\pi\)
−0.834666 + 0.550756i \(0.814339\pi\)
\(758\) −18.8030 + 10.8559i −0.682956 + 0.394305i
\(759\) −9.80799 + 29.3433i −0.356008 + 1.06510i
\(760\) 3.19864 0.116027
\(761\) 23.0756 + 39.9681i 0.836490 + 1.44884i 0.892811 + 0.450431i \(0.148730\pi\)
−0.0563208 + 0.998413i \(0.517937\pi\)
\(762\) 19.6899 + 22.2415i 0.713291 + 0.805724i
\(763\) 0.0560654 + 0.0971081i 0.00202970 + 0.00351555i
\(764\) 0.457852 + 0.264341i 0.0165645 + 0.00956352i
\(765\) 6.74770 + 15.8691i 0.243964 + 0.573749i
\(766\) 9.99081 + 5.76820i 0.360983 + 0.208413i
\(767\) −2.31458 −0.0835745
\(768\) −1.69717 + 0.345843i −0.0612414 + 0.0124795i
\(769\) 22.7611 + 39.4233i 0.820785 + 1.42164i 0.905099 + 0.425201i \(0.139797\pi\)
−0.0843143 + 0.996439i \(0.526870\pi\)
\(770\) −3.18212 + 5.51159i −0.114676 + 0.198624i
\(771\) −10.6410 3.55676i −0.383227 0.128094i
\(772\) −1.78569 3.09290i −0.0642683 0.111316i
\(773\) 45.5792 1.63937 0.819684 0.572816i \(-0.194149\pi\)
0.819684 + 0.572816i \(0.194149\pi\)
\(774\) 17.8406 + 13.4265i 0.641268 + 0.482605i
\(775\) −3.05410 + 4.65537i −0.109707 + 0.167226i
\(776\) 14.9295i