Properties

Label 930.2.o.e.161.2
Level $930$
Weight $2$
Character 930.161
Analytic conductor $7.426$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

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 161.2
Character \(\chi\) \(=\) 930.161
Dual form 930.2.o.e.491.12

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000i q^{2} +(-1.14810 + 1.29687i) q^{3} -1.00000 q^{4} +(0.866025 + 0.500000i) q^{5} +(1.29687 + 1.14810i) q^{6} +(0.742621 + 1.28626i) q^{7} +1.00000i q^{8} +(-0.363755 - 2.97787i) q^{9} +O(q^{10})\) \(q-1.00000i q^{2} +(-1.14810 + 1.29687i) q^{3} -1.00000 q^{4} +(0.866025 + 0.500000i) q^{5} +(1.29687 + 1.14810i) q^{6} +(0.742621 + 1.28626i) q^{7} +1.00000i q^{8} +(-0.363755 - 2.97787i) q^{9} +(0.500000 - 0.866025i) q^{10} +(2.14249 - 3.71090i) q^{11} +(1.14810 - 1.29687i) 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} +(-2.97787 + 0.363755i) q^{18} +(-1.59932 - 2.77010i) q^{19} +(-0.866025 - 0.500000i) q^{20} +(-2.52071 - 0.513661i) q^{21} +(-3.71090 - 2.14249i) q^{22} +4.16867 q^{23} +(-1.29687 - 1.14810i) 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} +(0.363755 + 2.97787i) 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} +(-0.513661 + 2.52071i) q^{42} +(6.44566 - 3.72140i) q^{43} +(-2.14249 + 3.71090i) q^{44} +(1.17391 - 2.76078i) q^{45} -4.16867i q^{46} +11.9223i q^{47} +(-1.14810 + 1.29687i) q^{48} +(2.39703 - 4.15178i) q^{49} +(0.866025 - 0.500000i) q^{50} +(-9.75543 - 1.98792i) 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} +(5.42864 + 1.10623i) 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} +(-4.78603 + 5.40624i) q^{69} +1.48524 q^{70} +(0.650013 + 0.375285i) q^{71} +(2.97787 - 0.363755i) q^{72} +(-3.41044 - 1.96902i) q^{73} +(-4.75644 - 8.23840i) q^{74} +(-1.69717 - 0.345843i) 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} +(-8.73536 + 2.16643i) q^{81} +(5.63658 - 9.76284i) q^{82} +(4.88450 - 8.46021i) q^{83} +(2.52071 + 0.513661i) q^{84} +5.74805i q^{85} +(-3.72140 - 6.44566i) q^{86} +(8.24705 - 9.31575i) q^{87} +(3.71090 + 2.14249i) q^{88} -4.38445 q^{89} +(-2.76078 - 1.17391i) q^{90} -2.52004i q^{91} -4.16867 q^{92} +(-9.32438 - 2.46087i) q^{93} +11.9223 q^{94} -3.19864i q^{95} +(1.29687 + 1.14810i) q^{96} -14.9295 q^{97} +(-4.15178 - 2.39703i) q^{98} +(-11.8299 - 5.03019i) 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
\(3\) −1.14810 + 1.29687i −0.662853 + 0.748750i
\(4\) −1.00000 −0.500000
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) 1.29687 + 1.14810i 0.529446 + 0.468708i
\(7\) 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
\(9\) −0.363755 2.97787i −0.121252 0.992622i
\(10\) 0.500000 0.866025i 0.158114 0.273861i
\(11\) 2.14249 3.71090i 0.645986 1.11888i −0.338087 0.941115i \(-0.609780\pi\)
0.984073 0.177765i \(-0.0568867\pi\)
\(12\) 1.14810 1.29687i 0.331426 0.374375i
\(13\) −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 \(0.0788392\pi\)
−0.272430 + 0.962175i \(0.587827\pi\)
\(18\) −2.97787 + 0.363755i −0.701890 + 0.0857380i
\(19\) −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
\(21\) −2.52071 0.513661i −0.550064 0.112090i
\(22\) −3.71090 2.14249i −0.791168 0.456781i
\(23\) 4.16867 0.869228 0.434614 0.900617i \(-0.356885\pi\)
0.434614 + 0.900617i \(0.356885\pi\)
\(24\) −1.29687 1.14810i −0.264723 0.234354i
\(25\) 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 \(-0.732400\pi\)
−0.666948 + 0.745104i \(0.732400\pi\)
\(30\) 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
\(36\) 0.363755 + 2.97787i 0.0606259 + 0.496311i
\(37\) 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 \(0.00931590\pi\)
0.525128 + 0.851023i \(0.324017\pi\)
\(42\) −0.513661 + 2.52071i −0.0792596 + 0.388954i
\(43\) 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
\(45\) 1.17391 2.76078i 0.174996 0.411553i
\(46\) 4.16867i 0.614637i
\(47\) 11.9223i 1.73905i 0.493893 + 0.869523i \(0.335574\pi\)
−0.493893 + 0.869523i \(0.664426\pi\)
\(48\) −1.14810 + 1.29687i −0.165713 + 0.187187i
\(49\) 2.39703 4.15178i 0.342433 0.593111i
\(50\) 0.866025 0.500000i 0.122474 0.0707107i
\(51\) −9.75543 1.98792i −1.36603 0.278365i
\(52\) 1.46940 + 0.848361i 0.203770 + 0.117647i
\(53\) −3.03596 + 5.25843i −0.417021 + 0.722302i −0.995638 0.0932976i \(-0.970259\pi\)
0.578617 + 0.815599i \(0.303593\pi\)
\(54\) 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
\(57\) 5.42864 + 1.10623i 0.719041 + 0.146523i
\(58\) 7.18325i 0.943207i
\(59\) −1.18138 + 0.682072i −0.153803 + 0.0887983i −0.574926 0.818205i \(-0.694969\pi\)
0.421123 + 0.907003i \(0.361636\pi\)
\(60\) 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
\(69\) −4.78603 + 5.40624i −0.576171 + 0.650834i
\(70\) 1.48524 0.177520
\(71\) 0.650013 + 0.375285i 0.0771424 + 0.0445382i 0.538075 0.842897i \(-0.319152\pi\)
−0.460933 + 0.887435i \(0.652485\pi\)
\(72\) 2.97787 0.363755i 0.350945 0.0428690i
\(73\) −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
\(75\) −1.69717 0.345843i −0.195973 0.0399345i
\(76\) 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
\(81\) −8.73536 + 2.16643i −0.970596 + 0.240714i
\(82\) 5.63658 9.76284i 0.622456 1.07813i
\(83\) 4.88450 8.46021i 0.536144 0.928628i −0.462963 0.886377i \(-0.653214\pi\)
0.999107 0.0422508i \(-0.0134528\pi\)
\(84\) 2.52071 + 0.513661i 0.275032 + 0.0560450i
\(85\) 5.74805i 0.623463i
\(86\) −3.72140 6.44566i −0.401289 0.695053i
\(87\) 8.24705 9.31575i 0.884177 0.998754i
\(88\) 3.71090 + 2.14249i 0.395584 + 0.228390i
\(89\) −4.38445 −0.464751 −0.232376 0.972626i \(-0.574650\pi\)
−0.232376 + 0.972626i \(0.574650\pi\)
\(90\) −2.76078 1.17391i −0.291012 0.123741i
\(91\) 2.52004i 0.264172i
\(92\) −4.16867 −0.434614
\(93\) −9.32438 2.46087i −0.966893 0.255181i
\(94\) 11.9223 1.22969
\(95\) 3.19864i 0.328173i
\(96\) 1.29687 + 1.14810i 0.132361 + 0.117177i
\(97\) −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
\(99\) −11.8299 5.03019i −1.18895 0.505553i
\(100\) −0.500000 0.866025i −0.0500000 0.0866025i
\(101\) 7.89451i 0.785533i 0.919638 + 0.392767i \(0.128482\pi\)
−0.919638 + 0.392767i \(0.871518\pi\)
\(102\) −1.98792 + 9.75543i −0.196834 + 0.965931i
\(103\) 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
\(105\) −1.92617 1.70520i −0.187975 0.166410i
\(106\) 5.25843 + 3.03596i 0.510744 + 0.294878i
\(107\) 15.9107 9.18604i 1.53814 0.888048i 0.539197 0.842180i \(-0.318728\pi\)
0.998948 0.0458681i \(-0.0146054\pi\)
\(108\) −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
\(111\) −3.28997 + 16.1450i −0.312270 + 1.53242i
\(112\) 0.742621 + 1.28626i 0.0701711 + 0.121540i
\(113\) 13.9553 + 8.05711i 1.31281 + 0.757949i 0.982560 0.185946i \(-0.0595349\pi\)
0.330246 + 0.943895i \(0.392868\pi\)
\(114\) 1.10623 5.42864i 0.103608 0.508438i
\(115\) 3.61018 + 2.08434i 0.336651 + 0.194365i
\(116\) 7.18325 0.666948
\(117\) −1.99180 + 4.68429i −0.184142 + 0.433062i
\(118\) 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
\(129\) −2.57405 + 12.6317i −0.226632 + 1.11216i
\(130\) −1.46940 + 0.848361i −0.128875 + 0.0744062i
\(131\) −4.66039 + 2.69068i −0.407180 + 0.235086i −0.689577 0.724212i \(-0.742204\pi\)
0.282397 + 0.959298i \(0.408870\pi\)
\(132\) −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
\(135\) 2.23262 + 4.69206i 0.192154 + 0.403828i
\(136\) −4.97796 + 2.87402i −0.426856 + 0.246446i
\(137\) −9.99103 + 17.3050i −0.853591 + 1.47846i 0.0243552 + 0.999703i \(0.492247\pi\)
−0.877946 + 0.478759i \(0.841087\pi\)
\(138\) 5.40624 + 4.78603i 0.460209 + 0.407414i
\(139\) 8.47702i 0.719011i 0.933143 + 0.359506i \(0.117055\pi\)
−0.933143 + 0.359506i \(0.882945\pi\)
\(140\) 1.48524i 0.125526i
\(141\) −15.4617 13.6879i −1.30211 1.15273i
\(142\) 0.375285 0.650013i 0.0314932 0.0545479i
\(143\) −6.29638 + 3.63521i −0.526529 + 0.303992i
\(144\) −0.363755 2.97787i −0.0303130 0.248155i
\(145\) −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 −0.454221 0.890889i \(-0.650082\pi\)
0.544422 + 0.838812i \(0.316749\pi\)
\(150\) −0.345843 + 1.69717i −0.0282380 + 0.138574i
\(151\) 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
\(162\) 2.16643 + 8.73536i 0.170211 + 0.686315i
\(163\) 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
\(165\) −1.48193 + 7.27235i −0.115368 + 0.566152i
\(166\) −8.46021 4.88450i −0.656639 0.379111i
\(167\) −6.42081 11.1212i −0.496857 0.860581i 0.503137 0.864207i \(-0.332179\pi\)
−0.999993 + 0.00362562i \(0.998846\pi\)
\(168\) 0.513661 2.52071i 0.0396298 0.194477i
\(169\) −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 0.722665 0.691198i \(-0.242917\pi\)
−0.237263 + 0.971445i \(0.576250\pi\)
\(174\) −9.31575 8.24705i −0.706225 0.625207i
\(175\) −0.742621 + 1.28626i −0.0561368 + 0.0972319i
\(176\) 2.14249 3.71090i 0.161496 0.279720i
\(177\) 0.471780 2.31519i 0.0354612 0.174020i
\(178\) 4.38445i 0.328629i
\(179\) −8.19260 14.1900i −0.612344 1.06061i −0.990844 0.135009i \(-0.956894\pi\)
0.378501 0.925601i \(-0.376440\pi\)
\(180\) −1.17391 + 2.76078i −0.0874982 + 0.205777i
\(181\) 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
\(183\) −16.2829 14.4149i −1.20366 1.06558i
\(184\) 4.16867i 0.307319i
\(185\) 9.51288 0.699401
\(186\) −2.46087 + 9.32438i −0.180440 + 0.683697i
\(187\) 24.6303 1.80115
\(188\) 11.9223i 0.869523i
\(189\) −0.612691 + 7.69318i −0.0445667 + 0.559597i
\(190\) −3.19864 −0.232054
\(191\) 0.457852 + 0.264341i 0.0331290 + 0.0191270i 0.516473 0.856303i \(-0.327245\pi\)
−0.483344 + 0.875430i \(0.660578\pi\)
\(192\) 1.14810 1.29687i 0.0828566 0.0935937i
\(193\) 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
\(195\) 2.87963 + 0.586800i 0.206215 + 0.0420216i
\(196\) −2.39703 + 4.15178i −0.171216 + 0.296555i
\(197\) 2.86622 4.96444i 0.204210 0.353702i −0.745671 0.666314i \(-0.767871\pi\)
0.949881 + 0.312613i \(0.101204\pi\)
\(198\) −5.03019 + 11.8299i −0.357480 + 0.840716i
\(199\) −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
\(204\) 9.75543 + 1.98792i 0.683016 + 0.139183i
\(205\) 5.63658 + 9.76284i 0.393676 + 0.681866i
\(206\) −5.77095 3.33186i −0.402081 0.232142i
\(207\) −1.51638 12.4137i −0.105396 0.862815i
\(208\) −1.46940 0.848361i −0.101885 0.0588233i
\(209\) −13.7061 −0.948071
\(210\) −1.70520 + 1.92617i −0.117670 + 0.132918i
\(211\) −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
\(222\) 16.1450 + 3.28997i 1.08358 + 0.220808i
\(223\) −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 0.739474 0.673185i \(-0.235074\pi\)
−0.213258 + 0.976996i \(0.568408\pi\)
\(228\) −5.42864 1.10623i −0.359520 0.0732617i
\(229\) 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
\(231\) −7.30675 + 8.25360i −0.480749 + 0.543047i
\(232\) 7.18325i 0.471603i
\(233\) 16.7182i 1.09525i 0.836725 + 0.547623i \(0.184467\pi\)
−0.836725 + 0.547623i \(0.815533\pi\)
\(234\) 4.68429 + 1.99180i 0.306221 + 0.130208i
\(235\) −5.96115 + 10.3250i −0.388862 + 0.673530i
\(236\) 1.18138 0.682072i 0.0769016 0.0443991i
\(237\) −3.85221 + 18.9041i −0.250228 + 1.22795i
\(238\) 7.39346 + 4.26862i 0.479247 + 0.276693i
\(239\) −5.18784 + 8.98561i −0.335574 + 0.581231i −0.983595 0.180392i \(-0.942264\pi\)
0.648021 + 0.761622i \(0.275597\pi\)
\(240\) −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
\(243\) 7.21945 13.8159i 0.463128 0.886292i
\(244\) 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 0.587464 0.809250i \(-0.300126\pi\)
−0.994563 + 0.104134i \(0.966793\pi\)
\(252\) −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
\(255\) −7.45448 6.59931i −0.466818 0.413265i
\(256\) 1.00000 0.0625000
\(257\) −5.60986 3.23885i −0.349933 0.202034i 0.314722 0.949184i \(-0.398089\pi\)
−0.664656 + 0.747150i \(0.731422\pi\)
\(258\) 12.6317 + 2.57405i 0.786417 + 0.160253i
\(259\) 12.2360 + 7.06446i 0.760309 + 0.438964i
\(260\) 0.848361 + 1.46940i 0.0526131 + 0.0911286i
\(261\) 2.61295 + 21.3907i 0.161737 + 1.32405i
\(262\) 2.69068 + 4.66039i 0.166231 + 0.287920i
\(263\) −8.12970 −0.501299 −0.250649 0.968078i \(-0.580644\pi\)
−0.250649 + 0.968078i \(0.580644\pi\)
\(264\) −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
\(267\) 5.03377 5.68607i 0.308062 0.347982i
\(268\) −5.98520 + 10.3667i −0.365604 + 0.633245i
\(269\) 6.17853 10.7015i 0.376711 0.652483i −0.613870 0.789407i \(-0.710388\pi\)
0.990582 + 0.136924i \(0.0437215\pi\)
\(270\) 4.69206 2.23262i 0.285549 0.135873i
\(271\) 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
\(273\) 3.26817 + 2.89325i 0.197799 + 0.175107i
\(274\) 17.3050 + 9.99103i 1.04543 + 0.603580i
\(275\) 4.28498 0.258394
\(276\) 4.78603 5.40624i 0.288085 0.325417i
\(277\) 0.958749i 0.0576056i 0.999585 + 0.0288028i \(0.00916949\pi\)
−0.999585 + 0.0288028i \(0.990831\pi\)
\(278\) 8.47702 0.508418
\(279\) 13.8967 9.26722i 0.831974 0.554814i
\(280\) −1.48524 −0.0887601
\(281\) 26.4095i 1.57546i −0.616023 0.787728i \(-0.711257\pi\)
0.616023 0.787728i \(-0.288743\pi\)
\(282\) −13.6879 + 15.4617i −0.815104 + 0.920731i
\(283\) −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
\(285\) 4.14822 + 3.67234i 0.245720 + 0.217531i
\(286\) 3.63521 + 6.29638i 0.214955 + 0.372312i
\(287\) 16.7434i 0.988329i
\(288\) −2.97787 + 0.363755i −0.175472 + 0.0214345i
\(289\) −8.02003 + 13.8911i −0.471766 + 0.817123i
\(290\) −3.59162 + 6.22087i −0.210907 + 0.365302i
\(291\) 17.1404 19.3616i 1.00479 1.13500i
\(292\) 3.41044 + 1.96902i 0.199581 + 0.115228i
\(293\) −9.81515 + 5.66678i −0.573407 + 0.331057i −0.758509 0.651663i \(-0.774072\pi\)
0.185102 + 0.982719i \(0.440738\pi\)
\(294\) 7.87527 2.63231i 0.459295 0.153519i
\(295\) −1.36414 −0.0794236
\(296\) 4.75644 + 8.23840i 0.276463 + 0.478847i
\(297\) 20.1054 9.56676i 1.16663 0.555119i
\(298\) −0.635685 1.10104i −0.0368242 0.0637814i
\(299\) −6.12547 3.53654i −0.354245 0.204523i
\(300\) 1.69717 + 0.345843i 0.0979863 + 0.0199673i
\(301\) 9.57336 + 5.52718i 0.551799 + 0.318582i
\(302\) −20.8749 −1.20121
\(303\) −10.2382 9.06365i −0.588168 0.520693i
\(304\) −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 \(-0.954087\pi\)
0.989615 0.143741i \(-0.0459133\pi\)
\(312\) 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
\(315\) 4.42285 0.540265i 0.249199 0.0304405i
\(316\) −9.64630 + 5.56929i −0.542647 + 0.313297i
\(317\) 10.9608 6.32820i 0.615618 0.355427i −0.159543 0.987191i \(-0.551002\pi\)
0.775161 + 0.631764i \(0.217669\pi\)
\(318\) −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
\(321\) −6.35386 + 31.1806i −0.354638 + 1.74033i
\(322\) 5.36198 3.09574i 0.298812 0.172519i
\(323\) 9.19296 15.9227i 0.511510 0.885961i
\(324\) 8.73536 2.16643i 0.485298 0.120357i
\(325\) 1.69672i 0.0941172i
\(326\) 14.8670i 0.823405i
\(327\) −0.0866774 + 0.0979095i −0.00479327 + 0.00541441i
\(328\) −5.63658 + 9.76284i −0.311228 + 0.539063i
\(329\) −15.3351 + 8.85374i −0.845453 + 0.488123i
\(330\) 7.27235 + 1.48193i 0.400330 + 0.0815777i
\(331\) −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
\(336\) −2.52071 0.513661i −0.137516 0.0280225i
\(337\) 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 0.966901 0.255154i \(-0.0821260\pi\)
−0.704420 + 0.709784i \(0.748793\pi\)
\(348\) −8.24705 + 9.31575i −0.442088 + 0.499377i
\(349\) −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
\(351\) −3.78814 7.96112i −0.202196 0.424933i
\(352\) −3.71090 2.14249i −0.197792 0.114195i
\(353\) −8.84422 15.3186i −0.470730 0.815329i 0.528709 0.848803i \(-0.322676\pi\)
−0.999440 + 0.0334742i \(0.989343\pi\)
\(354\) −2.31519 0.471780i −0.123051 0.0250748i
\(355\) 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 0.444377 0.895840i \(-0.353425\pi\)
−0.553632 + 0.832761i \(0.686759\pi\)
\(360\) 2.76078 + 1.17391i 0.145506 + 0.0618706i
\(361\) 4.38436 7.59393i 0.230756 0.399681i
\(362\) 0.175835 0.304556i 0.00924170 0.0160071i
\(363\) 12.4930 + 2.54578i 0.655714 + 0.133619i
\(364\) 2.52004i 0.132086i
\(365\) −1.96902 3.41044i −0.103063 0.178511i
\(366\) −14.4149 + 16.2829i −0.753479 + 0.851119i
\(367\) 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
\(369\) 13.2337 31.1228i 0.688918 1.62019i
\(370\) 9.51288i 0.494551i
\(371\) −9.01826 −0.468205
\(372\) 9.32438 + 2.46087i 0.483447 + 0.127590i
\(373\) 8.75126 0.453123 0.226561 0.973997i \(-0.427252\pi\)
0.226561 + 0.973997i \(0.427252\pi\)
\(374\) 24.6303i 1.27360i
\(375\) −1.29687 1.14810i −0.0669702 0.0592874i
\(376\) −11.9223 −0.614846
\(377\) 10.5551 + 6.09399i 0.543615 + 0.313856i
\(378\) 7.69318 + 0.612691i 0.395695 + 0.0315134i
\(379\) 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
\(381\) 5.93125 29.1067i 0.303867 1.49118i
\(382\) 0.264341 0.457852i 0.0135249 0.0234257i
\(383\) −5.76820 + 9.99081i −0.294741 + 0.510506i −0.974925 0.222535i \(-0.928567\pi\)
0.680184 + 0.733042i \(0.261900\pi\)
\(384\) −1.29687 1.14810i −0.0661807 0.0585885i
\(385\) 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 0.945805 0.324735i \(-0.105275\pi\)
−0.754131 + 0.656724i \(0.771942\pi\)
\(390\) 0.586800 2.87963i 0.0297138 0.145816i
\(391\) 11.9809 + 20.7515i 0.605898 + 1.04945i
\(392\) 4.15178 + 2.39703i 0.209696 + 0.121068i
\(393\) 1.86111 9.13309i 0.0938804 0.460703i
\(394\) −4.96444 2.86622i −0.250105 0.144398i
\(395\) 11.1386 0.560443
\(396\) 11.8299 + 5.03019i 0.594476 + 0.252777i
\(397\) −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 \(-0.224848\pi\)
0.760716 + 0.649084i \(0.224848\pi\)
\(402\) 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
\(408\) 1.98792 9.75543i 0.0984169 0.482966i
\(409\) 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
\(414\) −12.4137 + 1.51638i −0.610102 + 0.0745259i
\(415\) 8.46021 4.88450i 0.415295 0.239771i
\(416\) −0.848361 + 1.46940i −0.0415943 + 0.0720435i
\(417\) −10.9936 9.73242i −0.538359 0.476599i
\(418\) 13.7061i 0.670388i
\(419\) 13.0350i 0.636804i 0.947956 + 0.318402i \(0.103146\pi\)
−0.947956 + 0.318402i \(0.896854\pi\)
\(420\) 1.92617 + 1.70520i 0.0939874 + 0.0832051i
\(421\) 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
\(423\) 35.5030 4.33680i 1.72621 0.210862i
\(424\) −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
\(429\) 2.51443 12.3392i 0.121398 0.595741i
\(430\) 7.44281i 0.358924i
\(431\) 21.6097 12.4764i 1.04090 0.600967i 0.120815 0.992675i \(-0.461449\pi\)
0.920089 + 0.391708i \(0.128116\pi\)
\(432\) 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
\(441\) −13.2354 5.62780i −0.630255 0.267990i
\(442\) −9.75284 −0.463895
\(443\) −7.42343 4.28592i −0.352698 0.203630i 0.313175 0.949695i \(-0.398607\pi\)
−0.665873 + 0.746065i \(0.731941\pi\)
\(444\) 3.28997 16.1450i 0.156135 0.766208i
\(445\) −3.79705 2.19223i −0.179997 0.103921i
\(446\) 11.1586 + 19.3273i 0.528376 + 0.915175i
\(447\) −0.439695 + 2.15773i −0.0207968 + 0.102057i
\(448\) −0.742621 1.28626i −0.0350855 0.0607699i
\(449\) −40.5736 −1.91479 −0.957393 0.288787i \(-0.906748\pi\)
−0.957393 + 0.288787i \(0.906748\pi\)
\(450\) −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
\(453\) 27.0721 + 23.9664i 1.27196 + 1.12604i
\(454\) 4.57737 7.92824i 0.214827 0.372091i
\(455\) 1.26002 2.18242i 0.0590707 0.102313i
\(456\) −1.10623 + 5.42864i −0.0518038 + 0.254219i
\(457\) 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
\(459\) −2.37118 + 29.7735i −0.110677 + 1.38971i
\(460\) −3.61018 2.08434i −0.168325 0.0971827i
\(461\) −2.92110 −0.136049 −0.0680246 0.997684i \(-0.521670\pi\)
−0.0680246 + 0.997684i \(0.521670\pi\)
\(462\) 8.25360 + 7.30675i 0.383992 + 0.339941i
\(463\) 23.0953i 1.07333i 0.843795 + 0.536665i \(0.180316\pi\)
−0.843795 + 0.536665i \(0.819684\pi\)
\(464\) −7.18325 −0.333474
\(465\) −6.84472 6.79337i −0.317416 0.315035i
\(466\) 16.7182 0.774456
\(467\) 21.7637i 1.00711i 0.863964 + 0.503553i \(0.167974\pi\)
−0.863964 + 0.503553i \(0.832026\pi\)
\(468\) 1.99180 4.68429i 0.0920711 0.216531i
\(469\) 17.7789 0.820954
\(470\) 10.3250 + 5.96115i 0.476257 + 0.274967i
\(471\) 14.6018 16.4940i 0.672816 0.760004i
\(472\) −0.682072 1.18138i −0.0313949 0.0543776i
\(473\) 31.8923i 1.46641i
\(474\) 18.9041 + 3.85221i 0.868294 + 0.176938i
\(475\) 1.59932 2.77010i 0.0733818 0.127101i
\(476\) 4.26862 7.39346i 0.195652 0.338879i
\(477\) 16.7633 + 7.12789i 0.767537 + 0.326364i
\(478\) 8.98561 + 5.18784i 0.410992 + 0.237286i
\(479\) 1.92376 1.11069i 0.0878991 0.0507485i −0.455406 0.890284i \(-0.650506\pi\)
0.543305 + 0.839535i \(0.317173\pi\)
\(480\) 0.549077 + 1.64272i 0.0250618 + 0.0749794i
\(481\) −16.1407 −0.735954
\(482\) 4.43763 + 7.68620i 0.202129 + 0.350097i
\(483\) −10.5080 2.14128i −0.478131 0.0974318i
\(484\) 3.68054 + 6.37489i 0.167297 + 0.289768i
\(485\) −12.9293 7.46473i −0.587089 0.338956i
\(486\) −13.8159 7.21945i −0.626703 0.327481i
\(487\) −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
\(489\) −17.0687 + 19.2806i −0.771873 + 0.871897i
\(490\) −2.39703 4.15178i −0.108287 0.187558i
\(491\) 3.47887 6.02558i 0.156999 0.271931i −0.776786 0.629765i \(-0.783151\pi\)
0.933785 + 0.357834i \(0.116485\pi\)
\(492\) 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
\(501\) 21.7944 + 4.44119i 0.973703 + 0.198418i
\(502\) −11.1711 + 6.44966i −0.498593 + 0.287863i
\(503\) 2.94516 1.70039i 0.131318 0.0758166i −0.432902 0.901441i \(-0.642510\pi\)
0.564220 + 0.825624i \(0.309177\pi\)
\(504\) 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
\(507\) 17.1773 + 3.50033i 0.762871 + 0.155455i
\(508\) 14.8524 8.57505i 0.658969 0.380456i
\(509\) 1.23751 2.14342i 0.0548515 0.0950055i −0.837296 0.546750i \(-0.815865\pi\)
0.892147 + 0.451745i \(0.149198\pi\)
\(510\) −6.59931 + 7.45448i −0.292222 + 0.330090i
\(511\) 5.84894i 0.258742i
\(512\) 1.00000i 0.0441942i
\(513\) 1.31950 16.5681i 0.0582573 0.731502i
\(514\) −3.23885 + 5.60986i −0.142860 + 0.247440i
\(515\) 5.77095 3.33186i 0.254299 0.146819i
\(516\) 2.57405 12.6317i 0.113316 0.556081i
\(517\) 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 −0.853014 0.521887i \(-0.825228\pi\)
0.0254604 + 0.999676i \(0.491895\pi\)
\(522\) 21.3907 2.61295i 0.936247 0.114366i
\(523\) 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
\(534\) −5.68607 5.03377i −0.246061 0.217832i
\(535\) 18.3721 0.794294
\(536\) 10.3667 + 5.98520i 0.447772 + 0.258521i
\(537\) 27.8085 + 5.66671i 1.20003 + 0.244537i
\(538\) −10.7015 6.17853i −0.461375 0.266375i
\(539\) −10.2712 17.7903i −0.442413 0.766282i
\(540\) −2.23262 4.69206i −0.0960768 0.201914i
\(541\) 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
\(546\) 2.89325 3.26817i 0.123820 0.139865i
\(547\) 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
\(549\) 37.3886 4.56713i 1.59570 0.194920i
\(550\) 4.28498i 0.182712i
\(551\) 11.4883 + 19.8983i 0.489418 + 0.847697i
\(552\) −5.40624 4.78603i −0.230105 0.203707i
\(553\) 14.3271 + 8.27174i 0.609249 + 0.351750i
\(554\) 0.958749 0.0407333
\(555\) −10.9217 + 12.3370i −0.463600 + 0.523676i
\(556\) 8.47702i 0.359506i
\(557\) −16.7531 −0.709853 −0.354927 0.934894i \(-0.615494\pi\)
−0.354927 + 0.934894i \(0.615494\pi\)
\(558\) −9.26722 13.8967i −0.392313 0.588295i
\(559\) −12.6284 −0.534124
\(560\) 1.48524i 0.0627629i
\(561\) −28.2779 + 31.9423i −1.19389 + 1.34861i
\(562\) −26.4095 −1.11402
\(563\) 19.8195 + 11.4428i 0.835291 + 0.482255i 0.855661 0.517537i \(-0.173151\pi\)
−0.0203699 + 0.999793i \(0.506484\pi\)
\(564\) 15.4617 + 13.6879i 0.651055 + 0.576366i
\(565\) 8.05711 + 13.9553i 0.338965 + 0.587105i
\(566\) 9.06729i 0.381127i
\(567\) −9.27365 9.62708i −0.389457 0.404300i
\(568\) −0.375285 + 0.650013i −0.0157466 + 0.0272740i
\(569\) −6.49170 + 11.2440i −0.272146 + 0.471371i −0.969411 0.245442i \(-0.921067\pi\)
0.697265 + 0.716814i \(0.254400\pi\)
\(570\) 3.67234 4.14822i 0.153817 0.173750i
\(571\) −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
\(576\) 0.363755 + 2.97787i 0.0151565 + 0.124078i
\(577\) −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
\(579\) −6.06124 1.23514i −0.251897 0.0513305i
\(580\) 6.22087 + 3.59162i 0.258308 + 0.149134i
\(581\) 14.5093 0.601948
\(582\) −19.3616 17.1404i −0.802564 0.710494i
\(583\) 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 \(-0.526036\pi\)
−0.0817044 + 0.996657i \(0.526036\pi\)
\(588\) −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 \(0.190366\pi\)
−0.826433 + 0.563035i \(0.809634\pi\)
\(594\) −9.56676 20.1054i −0.392529 0.824934i
\(595\) −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 0.867545 0.497358i \(-0.165697\pi\)
0.00304762 + 0.999995i \(0.499030\pi\)
\(600\) 0.345843 1.69717i 0.0141190 0.0692868i
\(601\) −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
\(603\) −33.0477 14.0522i −1.34581 0.572249i
\(604\) 20.8749i 0.849387i
\(605\) 7.36109i 0.299271i
\(606\) −9.06365 + 10.2382i −0.368186 + 0.415897i
\(607\) 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
\(609\) 18.1069 + 3.68975i 0.733728 + 0.149516i
\(610\) 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
\(615\) −19.1325 3.89875i −0.771496 0.157213i
\(616\) 6.36423i 0.256422i
\(617\) −9.02116 + 5.20837i −0.363178 + 0.209681i −0.670474 0.741933i \(-0.733909\pi\)
0.307296 + 0.951614i \(0.400576\pi\)
\(618\) 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
\(627\) 15.7359 17.7751i 0.628432 0.709868i
\(628\) 12.7183 0.507515
\(629\) 47.3547 + 27.3403i 1.88816 + 1.09013i
\(630\) −0.540265 4.42285i −0.0215247 0.176210i
\(631\) −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
\(633\) 3.41072 + 0.695024i 0.135564 + 0.0276247i
\(634\) −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
\(639\) 0.881103 2.07216i 0.0348559 0.0819735i
\(640\) −0.500000 + 0.866025i −0.0197642 + 0.0342327i
\(641\) 0.0147605 0.0255660i 0.000583005 0.00100979i −0.865734 0.500505i \(-0.833148\pi\)
0.866317 + 0.499495i \(0.166481\pi\)
\(642\) 31.1806 + 6.35386i 1.23060 + 0.250767i
\(643\) 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
\(645\) −8.54505 + 9.65237i −0.336461 + 0.380062i
\(646\) −15.9227 9.19296i −0.626469 0.361692i
\(647\) −20.2804 −0.797307 −0.398653 0.917102i \(-0.630522\pi\)
−0.398653 + 0.917102i \(0.630522\pi\)
\(648\) −2.16643 8.73536i −0.0851054 0.343158i
\(649\) 5.84534i 0.229450i
\(650\) −1.69672 −0.0665509
\(651\) −3.75917 13.8210i −0.147333 0.541689i
\(652\) −14.8670 −0.582235
\(653\) 38.1868i 1.49436i 0.664619 + 0.747182i \(0.268594\pi\)
−0.664619 + 0.747182i \(0.731406\pi\)
\(654\) 0.0979095 + 0.0866774i 0.00382857 + 0.00338935i
\(655\) −5.38136 −0.210267
\(656\) 9.76284 + 5.63658i 0.381175 + 0.220071i
\(657\) −4.62291 + 10.8721i −0.180357 + 0.424160i
\(658\) 8.85374 + 15.3351i 0.345155 + 0.597826i
\(659\) 7.51357i 0.292687i −0.989234 0.146344i \(-0.953250\pi\)
0.989234 0.146344i \(-0.0467505\pi\)
\(660\) 1.48193 7.27235i 0.0576842 0.283076i
\(661\) 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
\(663\) 12.6482 + 11.1972i 0.491215 + 0.434863i
\(664\) 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
\(669\) 7.71827 37.8762i 0.298406 1.46438i
\(670\) −5.98520 10.3667i −0.231228 0.400499i
\(671\) 46.5922 + 26.9000i 1.79867 + 1.03846i
\(672\) −0.513661 + 2.52071i −0.0198149 + 0.0972385i
\(673\) −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
\(675\) −0.412519 + 5.17975i −0.0158779 + 0.199369i
\(676\) 5.06057 + 8.76516i 0.194637 + 0.337121i
\(677\) −10.5122 + 18.2077i −0.404017 + 0.699778i −0.994207 0.107487i \(-0.965720\pi\)
0.590189 + 0.807265i \(0.299053\pi\)
\(678\) 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 \(0.0703184\pi\)
−0.975698 + 0.219119i \(0.929682\pi\)
\(684\) 7.66723 5.77020i 0.293164 0.220629i
\(685\) −17.3050 + 9.99103i −0.661189 + 0.381737i
\(686\) 17.5170i 0.668803i
\(687\) −1.74484 + 8.56253i −0.0665698 + 0.326681i
\(688\) 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
\(693\) −2.31503 18.9518i −0.0879405 0.719921i
\(694\) 8.46882 4.88948i 0.321472 0.185602i
\(695\) −4.23851 + 7.34131i −0.160776 + 0.278472i
\(696\) 9.31575 + 8.24705i 0.353113 + 0.312604i
\(697\) 64.7987i 2.45442i
\(698\) 15.4112i 0.583321i
\(699\) −21.6814 19.1941i −0.820065 0.725987i
\(700\) 0.742621 1.28626i 0.0280684 0.0486159i
\(701\) −30.3210 + 17.5058i −1.14521 + 0.661186i −0.947715 0.319118i \(-0.896613\pi\)
−0.197493 + 0.980304i \(0.563280\pi\)
\(702\) −7.96112 + 3.78814i −0.300473 + 0.142974i
\(703\) −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
\(708\) −0.471780 + 2.31519i −0.0177306 + 0.0870101i
\(709\) 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 0.999622 0.0274921i \(-0.00875211\pi\)
−0.523620 + 0.851952i \(0.675419\pi\)
\(720\) 1.17391 2.76078i 0.0437491 0.102888i
\(721\) 9.89724 0.368592
\(722\) −7.59393 4.38436i −0.282617 0.163169i
\(723\) 3.06945 15.0628i 0.114154 0.560193i
\(724\) −0.304556 0.175835i −0.0113187 0.00653487i
\(725\) −3.59162 6.22087i −0.133390 0.231037i
\(726\) 2.54578 12.4930i 0.0944829 0.463660i
\(727\) 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
\(732\) 16.2829 + 14.4149i 0.601832 + 0.532790i
\(733\) −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
\(735\) −1.65799 + 8.13634i −0.0611560 + 0.300113i
\(736\) 4.16867i 0.153659i
\(737\) −25.6465 44.4210i −0.944700 1.63627i
\(738\) −31.1228 13.2337i −1.14564 0.487139i
\(739\) 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
\(741\) −7.03839 6.23094i −0.258562 0.228899i
\(742\) 9.01826i 0.331071i
\(743\) −3.33359 −0.122298 −0.0611488 0.998129i \(-0.519476\pi\)
−0.0611488 + 0.998129i \(0.519476\pi\)
\(744\) 2.46087 9.32438i 0.0902199 0.341848i
\(745\) 1.27137 0.0465794
\(746\) 8.75126i 0.320406i
\(747\) −26.9701 11.4679i −0.986785 0.419590i
\(748\) −24.6303 −0.900573
\(749\) 23.6312 + 13.6435i 0.863466 + 0.498522i
\(750\) −1.14810 + 1.29687i −0.0419225 + 0.0473551i
\(751\) 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
\(753\) 21.8924 + 4.46115i 0.797802 + 0.162573i
\(754\) 6.09399 10.5551i 0.221930 0.384394i
\(755\) 10.4374 18.0782i 0.379857 0.657932i
\(756\) 0.612691 7.69318i 0.0222833 0.279798i
\(757\) −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 \(-0.851270\pi\)
0.0563208 0.998413i \(-0.482063\pi\)
\(762\) −29.1067 5.93125i −1.05442 0.214866i
\(763\) 0.0560654 + 0.0971081i 0.00202970 + 0.00351555i
\(764\) −0.457852 0.264341i −0.0165645 0.00956352i
\(765\) 17.1169 2.09088i 0.618863 0.0755961i
\(766\) 9.99081 + 5.76820i 0.360983 + 0.208413i
\(767\) 2.31458 0.0835745
\(768\) −1.14810 + 1.29687i −0.0414283 + 0.0467968i
\(769\) 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 \(-0.805851\pi\)
−0.819684 + 0.572816i \(0.805851\pi\)
\(774\) −17.8406 + 13.4265i −0.641268 + 0.482605i
\(775\) −3.05410 + 4.65537i −0.109707 + 0.167226i
\(776\) 14.9295i 0.53