Properties

Label 18.5.d.a.5.4
Level $18$
Weight $5$
Character 18.5
Analytic conductor $1.861$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 18 = 2 \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 18.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.86065933551\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{6})\)
Coefficient field: 8.0.221456830464.4
Defining polynomial: \( x^{8} - 4x^{7} + 38x^{6} - 100x^{5} + 449x^{4} - 736x^{3} + 1900x^{2} - 1548x + 2307 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{4}\cdot 3^{4} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 5.4
Root \(0.500000 - 3.61825i\) of defining polynomial
Character \(\chi\) \(=\) 18.5
Dual form 18.5.d.a.11.4

$q$-expansion

\(f(q)\) \(=\) \(q+(2.44949 - 1.41421i) q^{2} +(5.62909 + 7.02235i) q^{3} +(4.00000 - 6.92820i) q^{4} +(-1.91371 - 1.10488i) q^{5} +(23.7195 + 9.24044i) q^{6} +(-21.9913 - 38.0900i) q^{7} -22.6274i q^{8} +(-17.6268 + 79.0588i) q^{9} +O(q^{10})\) \(q+(2.44949 - 1.41421i) q^{2} +(5.62909 + 7.02235i) q^{3} +(4.00000 - 6.92820i) q^{4} +(-1.91371 - 1.10488i) q^{5} +(23.7195 + 9.24044i) q^{6} +(-21.9913 - 38.0900i) q^{7} -22.6274i q^{8} +(-17.6268 + 79.0588i) q^{9} -6.25016 q^{10} +(-183.766 + 106.097i) q^{11} +(71.1686 - 10.9101i) q^{12} +(88.7063 - 153.644i) q^{13} +(-107.735 - 62.2008i) q^{14} +(-3.01358 - 19.6582i) q^{15} +(-32.0000 - 55.4256i) q^{16} +43.3642i q^{17} +(68.6294 + 218.582i) q^{18} +528.015 q^{19} +(-15.3097 + 8.83905i) q^{20} +(143.691 - 368.843i) q^{21} +(-300.089 + 519.769i) q^{22} +(517.028 + 298.506i) q^{23} +(158.898 - 127.372i) q^{24} +(-310.058 - 537.037i) q^{25} -501.799i q^{26} +(-654.401 + 321.247i) q^{27} -351.861 q^{28} +(380.563 - 219.718i) q^{29} +(-35.1827 - 43.8908i) q^{30} +(-756.471 + 1310.25i) q^{31} +(-156.767 - 90.5097i) q^{32} +(-1779.49 - 693.238i) q^{33} +(61.3263 + 106.220i) q^{34} +97.1911i q^{35} +(477.228 + 438.357i) q^{36} +702.206 q^{37} +(1293.37 - 746.726i) q^{38} +(1578.28 - 241.948i) q^{39} +(-25.0006 + 43.3023i) q^{40} +(517.534 + 298.798i) q^{41} +(-169.653 - 1106.69i) q^{42} +(46.1125 + 79.8692i) q^{43} +1697.56i q^{44} +(121.083 - 131.820i) q^{45} +1688.61 q^{46} +(-1490.34 + 860.449i) q^{47} +(209.087 - 536.711i) q^{48} +(233.266 - 404.029i) q^{49} +(-1518.97 - 876.978i) q^{50} +(-304.519 + 244.101i) q^{51} +(-709.650 - 1229.15i) q^{52} -1311.69i q^{53} +(-1148.64 + 1712.36i) q^{54} +468.900 q^{55} +(-861.879 + 497.606i) q^{56} +(2972.24 + 3707.91i) q^{57} +(621.457 - 1076.40i) q^{58} +(-3418.31 - 1973.56i) q^{59} +(-148.250 - 57.7542i) q^{60} +(-2112.34 - 3658.68i) q^{61} +4279.24i q^{62} +(3398.99 - 1067.20i) q^{63} -512.000 q^{64} +(-339.516 + 196.020i) q^{65} +(-5339.23 + 818.496i) q^{66} +(-322.592 + 558.746i) q^{67} +(300.436 + 173.457i) q^{68} +(814.180 + 5311.07i) q^{69} +(137.449 + 238.069i) q^{70} -6397.63i q^{71} +(1788.90 + 398.849i) q^{72} -3196.15 q^{73} +(1720.05 - 993.069i) q^{74} +(2025.92 - 5200.37i) q^{75} +(2112.06 - 3658.20i) q^{76} +(8082.51 + 4666.44i) q^{77} +(3523.80 - 2824.67i) q^{78} +(4782.69 + 8283.86i) q^{79} +141.425i q^{80} +(-5939.59 - 2787.10i) q^{81} +1690.26 q^{82} +(-3074.70 + 1775.18i) q^{83} +(-1980.65 - 2470.89i) q^{84} +(47.9123 - 82.9866i) q^{85} +(225.904 + 130.426i) q^{86} +(3685.16 + 1435.64i) q^{87} +(2400.71 + 4158.15i) q^{88} +502.000i q^{89} +(110.170 - 494.130i) q^{90} -7803.06 q^{91} +(4136.22 - 2388.05i) q^{92} +(-13459.2 + 2063.28i) q^{93} +(-2433.72 + 4215.32i) q^{94} +(-1010.47 - 583.394i) q^{95} +(-246.866 - 1610.36i) q^{96} +(3714.42 + 6433.56i) q^{97} -1319.55i q^{98} +(-5148.73 - 16398.5i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8 q + 6 q^{3} + 32 q^{4} + 18 q^{5} + 48 q^{6} - 26 q^{7} - 78 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 8 q + 6 q^{3} + 32 q^{4} + 18 q^{5} + 48 q^{6} - 26 q^{7} - 78 q^{9} - 720 q^{11} - 144 q^{12} + 10 q^{13} + 288 q^{14} + 1134 q^{15} - 256 q^{16} - 384 q^{18} + 100 q^{19} + 144 q^{20} + 438 q^{21} + 336 q^{22} + 1278 q^{23} + 384 q^{24} + 794 q^{25} - 1296 q^{27} - 416 q^{28} - 1854 q^{29} - 3456 q^{30} - 1478 q^{31} - 3384 q^{33} - 96 q^{34} + 1056 q^{36} - 32 q^{37} + 6768 q^{38} + 5274 q^{39} - 36 q^{41} + 2592 q^{42} - 68 q^{43} + 3402 q^{45} + 2112 q^{46} + 2214 q^{47} - 1536 q^{48} + 2442 q^{49} - 15552 q^{50} - 12006 q^{51} - 80 q^{52} + 7056 q^{54} - 3996 q^{55} + 2304 q^{56} + 10902 q^{57} - 2400 q^{58} + 9108 q^{59} + 6480 q^{60} - 4478 q^{61} - 6654 q^{63} - 4096 q^{64} - 22554 q^{65} - 19872 q^{66} + 7504 q^{67} - 11088 q^{68} - 5994 q^{69} + 6048 q^{70} + 5376 q^{72} + 20716 q^{73} + 15264 q^{74} + 16590 q^{75} + 400 q^{76} + 34434 q^{77} + 24096 q^{78} - 6050 q^{79} - 21150 q^{81} + 1152 q^{82} - 3834 q^{83} - 9600 q^{84} - 16092 q^{85} - 12528 q^{86} + 10170 q^{87} - 2688 q^{88} + 2592 q^{90} - 45868 q^{91} + 10224 q^{92} - 10926 q^{93} + 672 q^{94} + 20880 q^{95} + 31336 q^{97} - 22338 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.44949 1.41421i 0.612372 0.353553i
\(3\) 5.62909 + 7.02235i 0.625454 + 0.780261i
\(4\) 4.00000 6.92820i 0.250000 0.433013i
\(5\) −1.91371 1.10488i −0.0765485 0.0441953i 0.461237 0.887277i \(-0.347406\pi\)
−0.537786 + 0.843082i \(0.680739\pi\)
\(6\) 23.7195 + 9.24044i 0.658875 + 0.256679i
\(7\) −21.9913 38.0900i −0.448802 0.777348i 0.549507 0.835489i \(-0.314816\pi\)
−0.998308 + 0.0581419i \(0.981482\pi\)
\(8\) 22.6274i 0.353553i
\(9\) −17.6268 + 79.0588i −0.217615 + 0.976035i
\(10\) −6.25016 −0.0625016
\(11\) −183.766 + 106.097i −1.51873 + 0.876838i −0.518971 + 0.854792i \(0.673685\pi\)
−0.999757 + 0.0220466i \(0.992982\pi\)
\(12\) 71.1686 10.9101i 0.494226 0.0757643i
\(13\) 88.7063 153.644i 0.524889 0.909135i −0.474691 0.880153i \(-0.657440\pi\)
0.999580 0.0289822i \(-0.00922662\pi\)
\(14\) −107.735 62.2008i −0.549668 0.317351i
\(15\) −3.01358 19.6582i −0.0133937 0.0873699i
\(16\) −32.0000 55.4256i −0.125000 0.216506i
\(17\) 43.3642i 0.150049i 0.997182 + 0.0750246i \(0.0239035\pi\)
−0.997182 + 0.0750246i \(0.976096\pi\)
\(18\) 68.6294 + 218.582i 0.211819 + 0.674635i
\(19\) 528.015 1.46265 0.731323 0.682031i \(-0.238903\pi\)
0.731323 + 0.682031i \(0.238903\pi\)
\(20\) −15.3097 + 8.83905i −0.0382742 + 0.0220976i
\(21\) 143.691 368.843i 0.325829 0.836378i
\(22\) −300.089 + 519.769i −0.620018 + 1.07390i
\(23\) 517.028 + 298.506i 0.977369 + 0.564284i 0.901475 0.432832i \(-0.142486\pi\)
0.0758941 + 0.997116i \(0.475819\pi\)
\(24\) 158.898 127.372i 0.275864 0.221131i
\(25\) −310.058 537.037i −0.496094 0.859259i
\(26\) 501.799i 0.742306i
\(27\) −654.401 + 321.247i −0.897670 + 0.440669i
\(28\) −351.861 −0.448802
\(29\) 380.563 219.718i 0.452513 0.261258i −0.256378 0.966577i \(-0.582529\pi\)
0.708891 + 0.705318i \(0.249196\pi\)
\(30\) −35.1827 43.8908i −0.0390918 0.0487675i
\(31\) −756.471 + 1310.25i −0.787170 + 1.36342i 0.140523 + 0.990077i \(0.455121\pi\)
−0.927694 + 0.373342i \(0.878212\pi\)
\(32\) −156.767 90.5097i −0.153093 0.0883883i
\(33\) −1779.49 693.238i −1.63406 0.636583i
\(34\) 61.3263 + 106.220i 0.0530504 + 0.0918860i
\(35\) 97.1911i 0.0793397i
\(36\) 477.228 + 438.357i 0.368232 + 0.338239i
\(37\) 702.206 0.512933 0.256467 0.966553i \(-0.417442\pi\)
0.256467 + 0.966553i \(0.417442\pi\)
\(38\) 1293.37 746.726i 0.895684 0.517123i
\(39\) 1578.28 241.948i 1.03766 0.159071i
\(40\) −25.0006 + 43.3023i −0.0156254 + 0.0270640i
\(41\) 517.534 + 298.798i 0.307873 + 0.177750i 0.645974 0.763359i \(-0.276451\pi\)
−0.338101 + 0.941110i \(0.609785\pi\)
\(42\) −169.653 1106.69i −0.0961754 0.627373i
\(43\) 46.1125 + 79.8692i 0.0249392 + 0.0431959i 0.878226 0.478247i \(-0.158727\pi\)
−0.853286 + 0.521442i \(0.825394\pi\)
\(44\) 1697.56i 0.876838i
\(45\) 121.083 131.820i 0.0597942 0.0650964i
\(46\) 1688.61 0.798018
\(47\) −1490.34 + 860.449i −0.674668 + 0.389520i −0.797843 0.602865i \(-0.794026\pi\)
0.123175 + 0.992385i \(0.460692\pi\)
\(48\) 209.087 536.711i 0.0907497 0.232947i
\(49\) 233.266 404.029i 0.0971538 0.168275i
\(50\) −1518.97 876.978i −0.607588 0.350791i
\(51\) −304.519 + 244.101i −0.117078 + 0.0938489i
\(52\) −709.650 1229.15i −0.262445 0.454567i
\(53\) 1311.69i 0.466958i −0.972362 0.233479i \(-0.924989\pi\)
0.972362 0.233479i \(-0.0750111\pi\)
\(54\) −1148.64 + 1712.36i −0.393908 + 0.587228i
\(55\) 468.900 0.155008
\(56\) −861.879 + 497.606i −0.274834 + 0.158675i
\(57\) 2972.24 + 3707.91i 0.914818 + 1.14125i
\(58\) 621.457 1076.40i 0.184738 0.319975i
\(59\) −3418.31 1973.56i −0.981990 0.566952i −0.0791193 0.996865i \(-0.525211\pi\)
−0.902870 + 0.429913i \(0.858544\pi\)
\(60\) −148.250 57.7542i −0.0411807 0.0160428i
\(61\) −2112.34 3658.68i −0.567681 0.983253i −0.996795 0.0800020i \(-0.974507\pi\)
0.429114 0.903251i \(-0.358826\pi\)
\(62\) 4279.24i 1.11323i
\(63\) 3398.99 1067.20i 0.856384 0.268884i
\(64\) −512.000 −0.125000
\(65\) −339.516 + 196.020i −0.0803589 + 0.0463953i
\(66\) −5339.23 + 818.496i −1.22572 + 0.187901i
\(67\) −322.592 + 558.746i −0.0718628 + 0.124470i −0.899718 0.436472i \(-0.856228\pi\)
0.827855 + 0.560942i \(0.189561\pi\)
\(68\) 300.436 + 173.457i 0.0649732 + 0.0375123i
\(69\) 814.180 + 5311.07i 0.171010 + 1.11554i
\(70\) 137.449 + 238.069i 0.0280508 + 0.0485854i
\(71\) 6397.63i 1.26912i −0.772874 0.634560i \(-0.781181\pi\)
0.772874 0.634560i \(-0.218819\pi\)
\(72\) 1788.90 + 398.849i 0.345080 + 0.0769384i
\(73\) −3196.15 −0.599766 −0.299883 0.953976i \(-0.596948\pi\)
−0.299883 + 0.953976i \(0.596948\pi\)
\(74\) 1720.05 993.069i 0.314106 0.181349i
\(75\) 2025.92 5200.37i 0.360163 0.924510i
\(76\) 2112.06 3658.20i 0.365662 0.633344i
\(77\) 8082.51 + 4666.44i 1.36322 + 0.787053i
\(78\) 3523.80 2824.67i 0.579192 0.464278i
\(79\) 4782.69 + 8283.86i 0.766334 + 1.32733i 0.939538 + 0.342444i \(0.111255\pi\)
−0.173204 + 0.984886i \(0.555412\pi\)
\(80\) 141.425i 0.0220976i
\(81\) −5939.59 2787.10i −0.905288 0.424799i
\(82\) 1690.26 0.251377
\(83\) −3074.70 + 1775.18i −0.446321 + 0.257683i −0.706275 0.707938i \(-0.749626\pi\)
0.259954 + 0.965621i \(0.416292\pi\)
\(84\) −1980.65 2470.89i −0.280705 0.350183i
\(85\) 47.9123 82.9866i 0.00663146 0.0114860i
\(86\) 225.904 + 130.426i 0.0305441 + 0.0176346i
\(87\) 3685.16 + 1435.64i 0.486876 + 0.189673i
\(88\) 2400.71 + 4158.15i 0.310009 + 0.536952i
\(89\) 502.000i 0.0633759i 0.999498 + 0.0316879i \(0.0100883\pi\)
−0.999498 + 0.0316879i \(0.989912\pi\)
\(90\) 110.170 494.130i 0.0136012 0.0610037i
\(91\) −7803.06 −0.942285
\(92\) 4136.22 2388.05i 0.488684 0.282142i
\(93\) −13459.2 + 2063.28i −1.55616 + 0.238558i
\(94\) −2433.72 + 4215.32i −0.275432 + 0.477062i
\(95\) −1010.47 583.394i −0.111963 0.0646420i
\(96\) −246.866 1610.36i −0.0267867 0.174735i
\(97\) 3714.42 + 6433.56i 0.394773 + 0.683767i 0.993072 0.117506i \(-0.0374899\pi\)
−0.598299 + 0.801273i \(0.704157\pi\)
\(98\) 1319.55i 0.137396i
\(99\) −5148.73 16398.5i −0.525327 1.67314i
\(100\) −4960.94 −0.496094
\(101\) −793.864 + 458.338i −0.0778222 + 0.0449307i −0.538406 0.842685i \(-0.680973\pi\)
0.460584 + 0.887616i \(0.347640\pi\)
\(102\) −400.705 + 1028.58i −0.0385145 + 0.0988636i
\(103\) 1777.12 3078.07i 0.167511 0.290137i −0.770033 0.638004i \(-0.779760\pi\)
0.937544 + 0.347866i \(0.113094\pi\)
\(104\) −3476.56 2007.19i −0.321428 0.185576i
\(105\) −682.510 + 547.097i −0.0619057 + 0.0496233i
\(106\) −1855.00 3212.96i −0.165095 0.285952i
\(107\) 550.477i 0.0480808i −0.999711 0.0240404i \(-0.992347\pi\)
0.999711 0.0240404i \(-0.00765304\pi\)
\(108\) −391.937 + 5818.82i −0.0336023 + 0.498870i
\(109\) −2561.93 −0.215633 −0.107816 0.994171i \(-0.534386\pi\)
−0.107816 + 0.994171i \(0.534386\pi\)
\(110\) 1148.57 663.125i 0.0949229 0.0548037i
\(111\) 3952.78 + 4931.14i 0.320816 + 0.400222i
\(112\) −1407.44 + 2437.76i −0.112200 + 0.194337i
\(113\) 17598.8 + 10160.7i 1.37825 + 0.795731i 0.991948 0.126642i \(-0.0404200\pi\)
0.386299 + 0.922374i \(0.373753\pi\)
\(114\) 12524.3 + 4879.09i 0.963701 + 0.375430i
\(115\) −659.628 1142.51i −0.0498774 0.0863902i
\(116\) 3515.49i 0.261258i
\(117\) 10583.3 + 9721.26i 0.773124 + 0.710151i
\(118\) −11164.1 −0.801791
\(119\) 1651.74 953.635i 0.116640 0.0673424i
\(120\) −444.815 + 68.1895i −0.0308899 + 0.00473538i
\(121\) 15192.8 26314.7i 1.03769 1.79733i
\(122\) −10348.3 5974.60i −0.695265 0.401411i
\(123\) 814.977 + 5316.27i 0.0538685 + 0.351396i
\(124\) 6051.77 + 10482.0i 0.393585 + 0.681710i
\(125\) 2751.41i 0.176090i
\(126\) 6816.54 7420.99i 0.429361 0.467435i
\(127\) 21354.6 1.32399 0.661995 0.749508i \(-0.269710\pi\)
0.661995 + 0.749508i \(0.269710\pi\)
\(128\) −1254.14 + 724.077i −0.0765466 + 0.0441942i
\(129\) −301.298 + 773.409i −0.0181058 + 0.0464761i
\(130\) −554.428 + 960.298i −0.0328064 + 0.0568223i
\(131\) −26706.4 15419.0i −1.55623 0.898489i −0.997612 0.0690626i \(-0.977999\pi\)
−0.558616 0.829426i \(-0.688667\pi\)
\(132\) −11920.9 + 9555.70i −0.684163 + 0.548422i
\(133\) −11611.7 20112.1i −0.656438 1.13698i
\(134\) 1824.86i 0.101629i
\(135\) 1607.28 + 108.261i 0.0881907 + 0.00594025i
\(136\) 981.220 0.0530504
\(137\) −9523.95 + 5498.66i −0.507430 + 0.292965i −0.731777 0.681545i \(-0.761309\pi\)
0.224347 + 0.974509i \(0.427975\pi\)
\(138\) 9505.31 + 11858.0i 0.499124 + 0.622663i
\(139\) −8472.63 + 14675.0i −0.438519 + 0.759537i −0.997576 0.0695923i \(-0.977830\pi\)
0.559056 + 0.829130i \(0.311163\pi\)
\(140\) 673.360 + 388.764i 0.0343551 + 0.0198349i
\(141\) −14431.6 5622.16i −0.725901 0.282790i
\(142\) −9047.62 15670.9i −0.448701 0.777174i
\(143\) 37646.0i 1.84097i
\(144\) 4945.94 1552.91i 0.238520 0.0748894i
\(145\) −971.051 −0.0461856
\(146\) −7828.95 + 4520.04i −0.367280 + 0.212049i
\(147\) 4150.31 636.237i 0.192064 0.0294432i
\(148\) 2808.82 4865.03i 0.128233 0.222107i
\(149\) −14383.7 8304.42i −0.647885 0.374056i 0.139761 0.990185i \(-0.455367\pi\)
−0.787645 + 0.616129i \(0.788700\pi\)
\(150\) −2391.97 15603.3i −0.106310 0.693481i
\(151\) 5515.31 + 9552.80i 0.241889 + 0.418964i 0.961252 0.275670i \(-0.0888996\pi\)
−0.719363 + 0.694634i \(0.755566\pi\)
\(152\) 11947.6i 0.517123i
\(153\) −3428.32 764.371i −0.146453 0.0326529i
\(154\) 26397.4 1.11306
\(155\) 2895.33 1671.62i 0.120513 0.0695784i
\(156\) 4636.84 11902.4i 0.190534 0.489086i
\(157\) −9967.29 + 17263.9i −0.404369 + 0.700388i −0.994248 0.107104i \(-0.965842\pi\)
0.589879 + 0.807492i \(0.299176\pi\)
\(158\) 23430.3 + 13527.5i 0.938564 + 0.541880i
\(159\) 9211.12 7383.59i 0.364349 0.292061i
\(160\) 200.005 + 346.419i 0.00781269 + 0.0135320i
\(161\) 26258.2i 1.01301i
\(162\) −18490.5 + 1572.87i −0.704562 + 0.0599325i
\(163\) −7936.22 −0.298702 −0.149351 0.988784i \(-0.547718\pi\)
−0.149351 + 0.988784i \(0.547718\pi\)
\(164\) 4140.27 2390.39i 0.153936 0.0888752i
\(165\) 2639.48 + 3292.78i 0.0969506 + 0.120947i
\(166\) −5020.97 + 8696.57i −0.182210 + 0.315596i
\(167\) 16616.5 + 9593.52i 0.595807 + 0.343989i 0.767390 0.641180i \(-0.221555\pi\)
−0.171583 + 0.985170i \(0.554888\pi\)
\(168\) −8345.95 3251.35i −0.295704 0.115198i
\(169\) −1457.11 2523.79i −0.0510176 0.0883650i
\(170\) 271.033i 0.00937831i
\(171\) −9307.21 + 41744.3i −0.318293 + 1.42759i
\(172\) 737.800 0.0249392
\(173\) 45196.2 26094.1i 1.51011 0.871865i 0.510184 0.860065i \(-0.329577\pi\)
0.999930 0.0118002i \(-0.00375621\pi\)
\(174\) 11057.1 1695.03i 0.365209 0.0559861i
\(175\) −13637.2 + 23620.3i −0.445295 + 0.771274i
\(176\) 11761.0 + 6790.24i 0.379682 + 0.219210i
\(177\) −5382.91 35113.9i −0.171819 1.12081i
\(178\) 709.936 + 1229.64i 0.0224068 + 0.0388096i
\(179\) 12197.1i 0.380672i −0.981719 0.190336i \(-0.939042\pi\)
0.981719 0.190336i \(-0.0609578\pi\)
\(180\) −428.945 1366.17i −0.0132390 0.0421657i
\(181\) 6870.48 0.209715 0.104858 0.994487i \(-0.466561\pi\)
0.104858 + 0.994487i \(0.466561\pi\)
\(182\) −19113.5 + 11035.2i −0.577029 + 0.333148i
\(183\) 13802.0 35428.6i 0.412135 1.05792i
\(184\) 6754.43 11699.0i 0.199505 0.345552i
\(185\) −1343.82 775.855i −0.0392643 0.0226692i
\(186\) −30050.4 + 24088.2i −0.868608 + 0.696272i
\(187\) −4600.83 7968.87i −0.131569 0.227884i
\(188\) 13767.2i 0.389520i
\(189\) 26627.5 + 17861.5i 0.745429 + 0.500029i
\(190\) −3300.18 −0.0914176
\(191\) 35951.4 20756.5i 0.985482 0.568968i 0.0815609 0.996668i \(-0.474009\pi\)
0.903921 + 0.427700i \(0.140676\pi\)
\(192\) −2882.09 3595.44i −0.0781818 0.0975326i
\(193\) −29868.0 + 51732.9i −0.801847 + 1.38884i 0.116553 + 0.993184i \(0.462816\pi\)
−0.918399 + 0.395654i \(0.870518\pi\)
\(194\) 18196.9 + 10506.0i 0.483496 + 0.279147i
\(195\) −3287.69 1280.79i −0.0864612 0.0336828i
\(196\) −1866.13 3232.23i −0.0485769 0.0841377i
\(197\) 12371.6i 0.318783i −0.987215 0.159391i \(-0.949047\pi\)
0.987215 0.159391i \(-0.0509532\pi\)
\(198\) −35802.7 32886.5i −0.913242 0.838856i
\(199\) −16836.3 −0.425149 −0.212575 0.977145i \(-0.568185\pi\)
−0.212575 + 0.977145i \(0.568185\pi\)
\(200\) −12151.8 + 7015.82i −0.303794 + 0.175396i
\(201\) −5739.61 + 879.875i −0.142066 + 0.0217785i
\(202\) −1296.37 + 2245.39i −0.0317708 + 0.0550286i
\(203\) −16738.2 9663.78i −0.406177 0.234507i
\(204\) 473.106 + 3086.17i 0.0113684 + 0.0741583i
\(205\) −660.274 1143.63i −0.0157114 0.0272130i
\(206\) 10052.9i 0.236896i
\(207\) −32713.1 + 35613.9i −0.763451 + 0.831150i
\(208\) −11354.4 −0.262445
\(209\) −97031.3 + 56021.1i −2.22136 + 1.28250i
\(210\) −898.089 + 2305.32i −0.0203648 + 0.0522749i
\(211\) 22606.7 39155.9i 0.507776 0.879493i −0.492184 0.870491i \(-0.663801\pi\)
0.999959 0.00900203i \(-0.00286547\pi\)
\(212\) −9087.63 5246.74i −0.202199 0.116740i
\(213\) 44926.4 36012.8i 0.990244 0.793776i
\(214\) −778.493 1348.39i −0.0169991 0.0294434i
\(215\) 203.795i 0.00440877i
\(216\) 7269.00 + 14807.4i 0.155800 + 0.317374i
\(217\) 66543.1 1.41313
\(218\) −6275.43 + 3623.12i −0.132048 + 0.0762377i
\(219\) −17991.4 22444.5i −0.375126 0.467974i
\(220\) 1875.60 3248.64i 0.0387521 0.0671206i
\(221\) 6662.64 + 3846.68i 0.136415 + 0.0787592i
\(222\) 16656.0 + 6488.69i 0.337959 + 0.131659i
\(223\) −25333.0 43878.0i −0.509420 0.882341i −0.999940 0.0109118i \(-0.996527\pi\)
0.490520 0.871430i \(-0.336807\pi\)
\(224\) 7961.70i 0.158675i
\(225\) 47922.8 15046.6i 0.946624 0.297217i
\(226\) 57477.6 1.12533
\(227\) 34671.8 20017.8i 0.672860 0.388476i −0.124299 0.992245i \(-0.539668\pi\)
0.797159 + 0.603769i \(0.206335\pi\)
\(228\) 37578.1 5760.68i 0.722878 0.110816i
\(229\) 13383.7 23181.3i 0.255215 0.442045i −0.709739 0.704465i \(-0.751187\pi\)
0.964954 + 0.262419i \(0.0845204\pi\)
\(230\) −3231.51 1865.71i −0.0610871 0.0352686i
\(231\) 12727.8 + 83026.0i 0.238522 + 1.55593i
\(232\) −4971.66 8611.17i −0.0923688 0.159987i
\(233\) 39898.5i 0.734927i 0.930038 + 0.367464i \(0.119774\pi\)
−0.930038 + 0.367464i \(0.880226\pi\)
\(234\) 39671.6 + 8845.09i 0.724516 + 0.161537i
\(235\) 3802.78 0.0688597
\(236\) −27346.4 + 15788.5i −0.490995 + 0.283476i
\(237\) −31250.0 + 80216.3i −0.556357 + 1.42812i
\(238\) 2697.29 4671.84i 0.0476182 0.0824772i
\(239\) −43509.3 25120.1i −0.761704 0.439770i 0.0682035 0.997671i \(-0.478273\pi\)
−0.829907 + 0.557902i \(0.811607\pi\)
\(240\) −993.135 + 796.093i −0.0172419 + 0.0138211i
\(241\) 34630.4 + 59981.6i 0.596243 + 1.03272i 0.993370 + 0.114960i \(0.0366740\pi\)
−0.397127 + 0.917764i \(0.629993\pi\)
\(242\) 85943.6i 1.46752i
\(243\) −13862.5 57398.8i −0.234762 0.972053i
\(244\) −33797.5 −0.567681
\(245\) −892.809 + 515.464i −0.0148740 + 0.00858748i
\(246\) 9514.61 + 11869.6i 0.157225 + 0.196140i
\(247\) 46838.3 81126.3i 0.767727 1.32974i
\(248\) 29647.5 + 17117.0i 0.482041 + 0.278307i
\(249\) −29773.7 11599.0i −0.480213 0.187077i
\(250\) 3891.09 + 6739.56i 0.0622574 + 0.107833i
\(251\) 117510.i 1.86521i 0.360904 + 0.932603i \(0.382468\pi\)
−0.360904 + 0.932603i \(0.617532\pi\)
\(252\) 6202.17 27817.7i 0.0976658 0.438046i
\(253\) −126683. −1.97914
\(254\) 52308.0 30200.0i 0.810775 0.468101i
\(255\) 852.463 130.682i 0.0131098 0.00200971i
\(256\) −2048.00 + 3547.24i −0.0312500 + 0.0541266i
\(257\) −53336.3 30793.7i −0.807526 0.466225i 0.0385699 0.999256i \(-0.487720\pi\)
−0.846096 + 0.533030i \(0.821053\pi\)
\(258\) 355.738 + 2320.56i 0.00534430 + 0.0348620i
\(259\) −15442.4 26747.0i −0.230205 0.398728i
\(260\) 3136.32i 0.0463953i
\(261\) 10662.6 + 33959.8i 0.156524 + 0.498522i
\(262\) −87222.9 −1.27066
\(263\) 22201.4 12818.0i 0.320974 0.185314i −0.330853 0.943682i \(-0.607336\pi\)
0.651827 + 0.758368i \(0.274003\pi\)
\(264\) −15686.2 + 40265.2i −0.225066 + 0.577727i
\(265\) −1449.26 + 2510.19i −0.0206374 + 0.0357449i
\(266\) −56885.7 32842.9i −0.803969 0.464172i
\(267\) −3525.22 + 2825.80i −0.0494497 + 0.0396387i
\(268\) 2580.74 + 4469.97i 0.0359314 + 0.0622350i
\(269\) 70454.4i 0.973652i −0.873499 0.486826i \(-0.838155\pi\)
0.873499 0.486826i \(-0.161845\pi\)
\(270\) 4090.11 2007.85i 0.0561058 0.0275425i
\(271\) −677.821 −0.00922946 −0.00461473 0.999989i \(-0.501469\pi\)
−0.00461473 + 0.999989i \(0.501469\pi\)
\(272\) 2403.49 1387.65i 0.0324866 0.0187561i
\(273\) −43924.1 54795.8i −0.589356 0.735228i
\(274\) −15552.6 + 26937.8i −0.207157 + 0.358807i
\(275\) 113956. + 65792.8i 1.50686 + 0.869988i
\(276\) 40052.9 + 15603.5i 0.525794 + 0.204835i
\(277\) 52964.2 + 91736.6i 0.690276 + 1.19559i 0.971747 + 0.236023i \(0.0758441\pi\)
−0.281472 + 0.959570i \(0.590823\pi\)
\(278\) 47928.4i 0.620160i
\(279\) −90252.3 82901.1i −1.15944 1.06501i
\(280\) 2199.18 0.0280508
\(281\) −626.791 + 361.878i −0.00793798 + 0.00458300i −0.503964 0.863725i \(-0.668125\pi\)
0.496026 + 0.868308i \(0.334792\pi\)
\(282\) −43301.1 + 6638.00i −0.544503 + 0.0834716i
\(283\) 10787.6 18684.6i 0.134695 0.233299i −0.790786 0.612093i \(-0.790328\pi\)
0.925481 + 0.378794i \(0.123661\pi\)
\(284\) −44324.1 25590.5i −0.549545 0.317280i
\(285\) −1591.22 10379.8i −0.0195902 0.127791i
\(286\) 53239.5 + 92213.6i 0.650882 + 1.12736i
\(287\) 26283.8i 0.319099i
\(288\) 9918.89 10798.4i 0.119585 0.130190i
\(289\) 81640.5 0.977485
\(290\) −2378.58 + 1373.27i −0.0282828 + 0.0163291i
\(291\) −24269.9 + 62299.0i −0.286604 + 0.735691i
\(292\) −12784.6 + 22143.6i −0.149942 + 0.259706i
\(293\) 90289.5 + 52128.7i 1.05172 + 0.607213i 0.923132 0.384484i \(-0.125621\pi\)
0.128593 + 0.991697i \(0.458954\pi\)
\(294\) 9266.37 7427.88i 0.107205 0.0859351i
\(295\) 4361.10 + 7553.65i 0.0501132 + 0.0867986i
\(296\) 15889.1i 0.181349i
\(297\) 86173.3 128465.i 0.976921 1.45637i
\(298\) −46976.9 −0.528996
\(299\) 91727.3 52958.8i 1.02602 0.592373i
\(300\) −27925.5 34837.4i −0.310284 0.387082i
\(301\) 2028.15 3512.85i 0.0223855 0.0387728i
\(302\) 27019.4 + 15599.7i 0.296252 + 0.171041i
\(303\) −7687.34 2994.77i −0.0837319 0.0326196i
\(304\) −16896.5 29265.6i −0.182831 0.316672i
\(305\) 9335.55i 0.100355i
\(306\) −9478.63 + 2976.06i −0.101228 + 0.0317833i
\(307\) 3762.72 0.0399232 0.0199616 0.999801i \(-0.493646\pi\)
0.0199616 + 0.999801i \(0.493646\pi\)
\(308\) 64660.1 37331.5i 0.681608 0.393527i
\(309\) 31618.8 4847.13i 0.331153 0.0507654i
\(310\) 4728.06 8189.24i 0.0491994 0.0852158i
\(311\) −72658.7 41949.5i −0.751220 0.433717i 0.0749146 0.997190i \(-0.476132\pi\)
−0.826135 + 0.563473i \(0.809465\pi\)
\(312\) −5474.65 35712.3i −0.0562402 0.366867i
\(313\) 17717.5 + 30687.5i 0.180848 + 0.313237i 0.942169 0.335137i \(-0.108783\pi\)
−0.761322 + 0.648374i \(0.775449\pi\)
\(314\) 56383.5i 0.571864i
\(315\) −7683.81 1713.17i −0.0774383 0.0172655i
\(316\) 76523.1 0.766334
\(317\) −132069. + 76250.1i −1.31426 + 0.758791i −0.982799 0.184677i \(-0.940876\pi\)
−0.331465 + 0.943468i \(0.607543\pi\)
\(318\) 12120.6 31112.5i 0.119858 0.307667i
\(319\) −46623.1 + 80753.6i −0.458163 + 0.793561i
\(320\) 979.820 + 565.699i 0.00956856 + 0.00552441i
\(321\) 3865.64 3098.68i 0.0375156 0.0300723i
\(322\) −37134.6 64319.1i −0.358152 0.620338i
\(323\) 22897.0i 0.219469i
\(324\) −43068.0 + 30002.3i −0.410265 + 0.285801i
\(325\) −110017. −1.04158
\(326\) −19439.7 + 11223.5i −0.182917 + 0.105607i
\(327\) −14421.3 17990.8i −0.134868 0.168250i
\(328\) 6761.03 11710.5i 0.0628442 0.108849i
\(329\) 65549.1 + 37844.8i 0.605584 + 0.349634i
\(330\) 11122.1 + 4332.85i 0.102131 + 0.0397874i
\(331\) 18573.5 + 32170.2i 0.169526 + 0.293628i 0.938253 0.345949i \(-0.112443\pi\)
−0.768727 + 0.639577i \(0.779110\pi\)
\(332\) 28402.9i 0.257683i
\(333\) −12377.6 + 55515.6i −0.111622 + 0.500641i
\(334\) 54269.1 0.486474
\(335\) 1234.70 712.853i 0.0110020 0.00635199i
\(336\) −25041.4 + 3838.82i −0.221810 + 0.0340031i
\(337\) 21032.6 36429.5i 0.185197 0.320770i −0.758446 0.651736i \(-0.774041\pi\)
0.943643 + 0.330966i \(0.107374\pi\)
\(338\) −7138.36 4121.34i −0.0624835 0.0360749i
\(339\) 27713.4 + 180781.i 0.241152 + 1.57309i
\(340\) −383.299 663.893i −0.00331573 0.00574302i
\(341\) 321038.i 2.76088i
\(342\) 36237.4 + 115415.i 0.309817 + 0.986752i
\(343\) −126121. −1.07201
\(344\) 1807.23 1043.41i 0.0152721 0.00881732i
\(345\) 4310.00 11063.4i 0.0362109 0.0929504i
\(346\) 73805.1 127834.i 0.616502 1.06781i
\(347\) −92575.6 53448.5i −0.768843 0.443892i 0.0636189 0.997974i \(-0.479736\pi\)
−0.832462 + 0.554083i \(0.813069\pi\)
\(348\) 24687.0 19789.0i 0.203850 0.163405i
\(349\) −94844.8 164276.i −0.778686 1.34872i −0.932699 0.360655i \(-0.882553\pi\)
0.154013 0.988069i \(-0.450780\pi\)
\(350\) 77143.5i 0.629743i
\(351\) −8691.83 + 129041.i −0.0705500 + 1.04741i
\(352\) 38411.4 0.310009
\(353\) −186532. + 107694.i −1.49694 + 0.864257i −0.999994 0.00352519i \(-0.998878\pi\)
−0.496944 + 0.867783i \(0.665545\pi\)
\(354\) −62843.9 78398.5i −0.501483 0.625606i
\(355\) −7068.63 + 12243.2i −0.0560891 + 0.0971491i
\(356\) 3477.96 + 2008.00i 0.0274426 + 0.0158440i
\(357\) 15994.6 + 6231.03i 0.125498 + 0.0488904i
\(358\) −17249.3 29876.7i −0.134588 0.233113i
\(359\) 116777.i 0.906085i 0.891489 + 0.453043i \(0.149661\pi\)
−0.891489 + 0.453043i \(0.850339\pi\)
\(360\) −2982.75 2739.80i −0.0230151 0.0211404i
\(361\) 148479. 1.13933
\(362\) 16829.2 9716.33i 0.128424 0.0741455i
\(363\) 270313. 41438.6i 2.05142 0.314479i
\(364\) −31212.3 + 54061.2i −0.235571 + 0.408021i
\(365\) 6116.52 + 3531.37i 0.0459112 + 0.0265068i
\(366\) −16295.8 106301.i −0.121650 0.793552i
\(367\) −63101.8 109295.i −0.468500 0.811465i 0.530852 0.847464i \(-0.321872\pi\)
−0.999352 + 0.0359992i \(0.988539\pi\)
\(368\) 38208.8i 0.282142i
\(369\) −32745.1 + 35648.8i −0.240488 + 0.261813i
\(370\) −4388.90 −0.0320591
\(371\) −49962.2 + 28845.7i −0.362989 + 0.209572i
\(372\) −39542.1 + 101502.i −0.285742 + 0.733477i
\(373\) −55732.4 + 96531.3i −0.400581 + 0.693826i −0.993796 0.111218i \(-0.964525\pi\)
0.593215 + 0.805044i \(0.297858\pi\)
\(374\) −22539.4 13013.1i −0.161138 0.0930332i
\(375\) −19321.4 + 15487.9i −0.137397 + 0.110137i
\(376\) 19469.7 + 33722.6i 0.137716 + 0.238531i
\(377\) 77961.6i 0.548527i
\(378\) 90483.7 + 6094.70i 0.633267 + 0.0426549i
\(379\) 200558. 1.39624 0.698121 0.715980i \(-0.254020\pi\)
0.698121 + 0.715980i \(0.254020\pi\)
\(380\) −8083.75 + 4667.16i −0.0559816 + 0.0323210i
\(381\) 120207. + 149960.i 0.828095 + 1.03306i
\(382\) 58708.3 101686.i 0.402321 0.696841i
\(383\) 65495.5 + 37813.8i 0.446492 + 0.257782i 0.706347 0.707865i \(-0.250342\pi\)
−0.259856 + 0.965648i \(0.583675\pi\)
\(384\) −12144.4 4731.11i −0.0823593 0.0320849i
\(385\) −10311.7 17860.4i −0.0695681 0.120495i
\(386\) 168959.i 1.13398i
\(387\) −7127.18 + 2237.76i −0.0475878 + 0.0149414i
\(388\) 59430.7 0.394773
\(389\) 237715. 137245.i 1.57093 0.906977i 0.574874 0.818242i \(-0.305051\pi\)
0.996055 0.0887346i \(-0.0282823\pi\)
\(390\) −9864.47 + 1512.21i −0.0648552 + 0.00994221i
\(391\) −12944.5 + 22420.5i −0.0846704 + 0.146653i
\(392\) −9142.14 5278.22i −0.0594943 0.0343491i
\(393\) −42055.4 274337.i −0.272293 1.77623i
\(394\) −17496.1 30304.2i −0.112707 0.195214i
\(395\) 21137.2i 0.135473i
\(396\) −134207. 29922.5i −0.855825 0.190813i
\(397\) 3509.10 0.0222646 0.0111323 0.999938i \(-0.496456\pi\)
0.0111323 + 0.999938i \(0.496456\pi\)
\(398\) −41240.4 + 23810.2i −0.260350 + 0.150313i
\(399\) 75870.8 194754.i 0.476573 1.22332i
\(400\) −19843.7 + 34370.4i −0.124023 + 0.214815i
\(401\) −14126.3 8155.82i −0.0878496 0.0507200i 0.455432 0.890271i \(-0.349485\pi\)
−0.543281 + 0.839551i \(0.682818\pi\)
\(402\) −12814.8 + 10272.3i −0.0792975 + 0.0635645i
\(403\) 134207. + 232454.i 0.826355 + 1.43129i
\(404\) 7333.40i 0.0449307i
\(405\) 8287.25 + 11896.3i 0.0505243 + 0.0725271i
\(406\) −54666.6 −0.331642
\(407\) −129042. + 74502.2i −0.779007 + 0.449760i
\(408\) 5523.37 + 6890.47i 0.0331806 + 0.0413932i
\(409\) 3742.95 6482.97i 0.0223752 0.0387550i −0.854621 0.519252i \(-0.826210\pi\)
0.876996 + 0.480497i \(0.159544\pi\)
\(410\) −3234.67 1867.54i −0.0192425 0.0111097i
\(411\) −92224.6 35928.1i −0.545963 0.212692i
\(412\) −14217.0 24624.5i −0.0837554 0.145069i
\(413\) 173604.i 1.01780i
\(414\) −29764.7 + 133499.i −0.173660 + 0.778894i
\(415\) 7845.46 0.0455535
\(416\) −27812.5 + 16057.6i −0.160714 + 0.0927882i
\(417\) −150746. + 23109.2i −0.866911 + 0.132896i
\(418\) −158451. + 274446.i −0.906867 + 1.57074i
\(419\) −94399.3 54501.5i −0.537701 0.310442i 0.206446 0.978458i \(-0.433810\pi\)
−0.744147 + 0.668016i \(0.767144\pi\)
\(420\) 1060.36 + 6916.96i 0.00601111 + 0.0392118i
\(421\) −165636. 286890.i −0.934525 1.61865i −0.775478 0.631374i \(-0.782491\pi\)
−0.159047 0.987271i \(-0.550842\pi\)
\(422\) 127883.i 0.718103i
\(423\) −41756.2 132992.i −0.233367 0.743264i
\(424\) −29680.1 −0.165095
\(425\) 23288.2 13445.4i 0.128931 0.0744384i
\(426\) 59116.9 151749.i 0.325756 0.836191i
\(427\) −92906.2 + 160918.i −0.509553 + 0.882571i
\(428\) −3813.82 2201.91i −0.0208196 0.0120202i
\(429\) −264364. + 211913.i −1.43644 + 1.15144i
\(430\) −288.210 499.195i −0.00155874 0.00269981i
\(431\) 270347.i 1.45535i −0.685922 0.727675i \(-0.740601\pi\)
0.685922 0.727675i \(-0.259399\pi\)
\(432\) 38746.2 + 25990.7i 0.207616 + 0.139268i
\(433\) −7609.14 −0.0405845 −0.0202922 0.999794i \(-0.506460\pi\)
−0.0202922 + 0.999794i \(0.506460\pi\)
\(434\) 162997. 94106.1i 0.865364 0.499618i
\(435\) −5466.13 6819.06i −0.0288869 0.0360368i
\(436\) −10247.7 + 17749.6i −0.0539082 + 0.0933717i
\(437\) 272999. + 157616.i 1.42954 + 0.825348i
\(438\) −75811.1 29533.9i −0.395171 0.153947i
\(439\) 49775.5 + 86213.8i 0.258278 + 0.447350i 0.965781 0.259360i \(-0.0835117\pi\)
−0.707503 + 0.706710i \(0.750178\pi\)
\(440\) 10610.0i 0.0548037i
\(441\) 27830.3 + 25563.5i 0.143101 + 0.131445i
\(442\) 21760.1 0.111382
\(443\) 192291. 111019.i 0.979830 0.565705i 0.0776111 0.996984i \(-0.475271\pi\)
0.902219 + 0.431279i \(0.141937\pi\)
\(444\) 49975.0 7661.11i 0.253505 0.0388620i
\(445\) 554.651 960.684i 0.00280091 0.00485133i
\(446\) −124106. 71652.4i −0.623910 0.360214i
\(447\) −22650.4 147754.i −0.113360 0.739474i
\(448\) 11259.5 + 19502.1i 0.0561002 + 0.0971684i
\(449\) 353910.i 1.75550i 0.479122 + 0.877749i \(0.340955\pi\)
−0.479122 + 0.877749i \(0.659045\pi\)
\(450\) 96107.4 104630.i 0.474604 0.516690i
\(451\) −126807. −0.623433
\(452\) 140791. 81285.6i 0.689124 0.397866i
\(453\) −36036.9 + 92504.0i −0.175611 + 0.450780i
\(454\) 56618.8 98066.7i 0.274694 0.475784i
\(455\) 14932.8 + 8621.46i 0.0721305 + 0.0416445i
\(456\) 83900.4 67254.2i 0.403491 0.323437i
\(457\) 128991. + 223419.i 0.617629 + 1.06976i 0.989917 + 0.141647i \(0.0452399\pi\)
−0.372288 + 0.928117i \(0.621427\pi\)
\(458\) 75709.8i 0.360929i
\(459\) −13930.6 28377.6i −0.0661220 0.134695i
\(460\) −10554.1 −0.0498774
\(461\) 183775. 106103.i 0.864738 0.499257i −0.000858089 1.00000i \(-0.500273\pi\)
0.865596 + 0.500743i \(0.166940\pi\)
\(462\) 148593. + 185371.i 0.696169 + 0.868478i
\(463\) 34545.2 59834.0i 0.161148 0.279117i −0.774133 0.633024i \(-0.781814\pi\)
0.935281 + 0.353907i \(0.115147\pi\)
\(464\) −24356.1 14062.0i −0.113128 0.0653146i
\(465\) 28036.8 + 10922.3i 0.129665 + 0.0505138i
\(466\) 56425.0 + 97730.9i 0.259836 + 0.450049i
\(467\) 126113.i 0.578264i 0.957289 + 0.289132i \(0.0933667\pi\)
−0.957289 + 0.289132i \(0.906633\pi\)
\(468\) 109684. 34438.2i 0.500785 0.157235i
\(469\) 28376.9 0.129009
\(470\) 9314.86 5377.94i 0.0421678 0.0243456i
\(471\) −177340. + 27185.9i −0.799400 + 0.122547i
\(472\) −44656.6 + 77347.4i −0.200448 + 0.347186i
\(473\) −16947.8 9784.84i −0.0757516 0.0437352i
\(474\) 36896.4 + 240683.i 0.164221 + 1.07125i
\(475\) −163716. 283564.i −0.725609 1.25679i
\(476\) 15258.2i 0.0673424i
\(477\) 103700. + 23120.8i 0.455768 + 0.101617i
\(478\) −142101. −0.621928
\(479\) −248690. + 143582.i −1.08390 + 0.625788i −0.931945 0.362599i \(-0.881889\pi\)
−0.151952 + 0.988388i \(0.548556\pi\)
\(480\) −1306.83 + 3354.53i −0.00567200 + 0.0145596i
\(481\) 62290.1 107890.i 0.269233 0.466326i
\(482\) 169654. + 97949.6i 0.730246 + 0.421608i
\(483\) 184394. 147809.i 0.790410 0.633589i
\(484\) −121543. 210518.i −0.518845 0.898666i
\(485\) 16416.0i 0.0697884i
\(486\) −115130. 120993.i −0.487434 0.512258i
\(487\) 274661. 1.15808 0.579040 0.815299i \(-0.303427\pi\)
0.579040 + 0.815299i \(0.303427\pi\)
\(488\) −82786.5 + 47796.8i −0.347632 + 0.200706i
\(489\) −44673.7 55730.9i −0.186825 0.233066i
\(490\) −1457.95 + 2525.25i −0.00607227 + 0.0105175i
\(491\) −274978. 158759.i −1.14060 0.658528i −0.194024 0.980997i \(-0.562154\pi\)
−0.946580 + 0.322469i \(0.895487\pi\)
\(492\) 40092.1 + 15618.7i 0.165626 + 0.0645232i
\(493\) 9527.92 + 16502.8i 0.0392016 + 0.0678992i
\(494\) 264957.i 1.08573i
\(495\) −8265.20 + 37070.7i −0.0337321 + 0.151294i
\(496\) 96828.3 0.393585
\(497\) −243686. + 140692.i −0.986547 + 0.569583i
\(498\) −89333.8 + 13694.8i −0.360211 + 0.0552199i
\(499\) 97561.4 168981.i 0.391811 0.678637i −0.600877 0.799341i \(-0.705182\pi\)
0.992688 + 0.120704i \(0.0385153\pi\)
\(500\) 19062.4 + 11005.7i 0.0762494 + 0.0440226i
\(501\) 26166.5 + 170689.i 0.104248 + 0.680034i
\(502\) 166184. + 287839.i 0.659450 + 1.14220i
\(503\) 21373.6i 0.0844777i 0.999108 + 0.0422388i \(0.0134490\pi\)
−0.999108 + 0.0422388i \(0.986551\pi\)
\(504\) −24148.0 76910.3i −0.0950649 0.302777i
\(505\) 2025.64 0.00794289
\(506\) −310309. + 179157.i −1.21197 + 0.699733i
\(507\) 9520.74 24439.0i 0.0370386 0.0950752i
\(508\) 85418.6 147949.i 0.330998 0.573305i
\(509\) −69165.6 39932.8i −0.266965 0.154132i 0.360543 0.932743i \(-0.382592\pi\)
−0.627508 + 0.778610i \(0.715925\pi\)
\(510\) 1903.29 1525.67i 0.00731753 0.00586570i
\(511\) 70287.5 + 121742.i 0.269176 + 0.466227i
\(512\) 11585.2i 0.0441942i
\(513\) −345534. + 169624.i −1.31297 + 0.644542i
\(514\) −174196. −0.659342
\(515\) −6801.80 + 3927.02i −0.0256454 + 0.0148064i
\(516\) 4153.14 + 5181.09i 0.0155983 + 0.0194591i
\(517\) 182583. 316243.i 0.683091 1.18315i
\(518\) −75652.1 43677.7i −0.281943 0.162780i
\(519\) 437655. + 170498.i 1.62479 + 0.632972i
\(520\) 4435.42 + 7682.38i 0.0164032 + 0.0284112i
\(521\) 142732.i 0.525830i 0.964819 + 0.262915i \(0.0846839\pi\)
−0.964819 + 0.262915i \(0.915316\pi\)
\(522\) 74144.3 + 68105.1i 0.272105 + 0.249942i
\(523\) −232027. −0.848271 −0.424136 0.905599i \(-0.639422\pi\)
−0.424136 + 0.905599i \(0.639422\pi\)
\(524\) −213651. + 123352.i −0.778114 + 0.449244i
\(525\) −242635. + 37195.6i −0.880307 + 0.134950i
\(526\) 36254.8 62795.1i 0.131037 0.226963i
\(527\) −56817.8 32803.8i −0.204580 0.118114i
\(528\) 18520.5 + 120813.i 0.0664330 + 0.433357i
\(529\) 38291.5 + 66322.9i 0.136833 + 0.237002i
\(530\) 8198.24i 0.0291856i
\(531\) 216281. 235460.i 0.767060 0.835079i
\(532\) −185788. −0.656438
\(533\) 91817.0 53010.6i 0.323198 0.186599i
\(534\) −4638.71 + 11907.2i −0.0162673 + 0.0417568i
\(535\) −608.213 + 1053.45i −0.00212495 + 0.00368051i
\(536\) 12643.0 + 7299.43i 0.0440068 + 0.0254073i
\(537\) 85652.4 68658.6i 0.297024 0.238093i
\(538\) −99637.6 172577.i −0.344238 0.596238i
\(539\) 98995.8i 0.340753i
\(540\) 7179.16 10702.5i 0.0246199 0.0367026i
\(541\) −376322. −1.28577 −0.642887 0.765961i \(-0.722264\pi\)
−0.642887 + 0.765961i \(0.722264\pi\)
\(542\) −1660.32 + 958.583i −0.00565187 + 0.00326311i
\(543\) 38674.5 + 48246.9i 0.131167 + 0.163633i
\(544\) 3924.88 6798.09i 0.0132626 0.0229715i
\(545\) 4902.80 + 2830.63i 0.0165064 + 0.00952995i
\(546\) −185085. 72103.8i −0.620848 0.241865i
\(547\) 137517. + 238187.i 0.459602 + 0.796054i 0.998940 0.0460355i \(-0.0146587\pi\)
−0.539338 + 0.842090i \(0.681325\pi\)
\(548\) 87978.5i 0.292965i
\(549\) 326485. 102508.i 1.08322 0.340106i
\(550\) 372180. 1.23035
\(551\) 200943. 116015.i 0.661866 0.382129i
\(552\) 120176. 18422.8i 0.394402 0.0604613i
\(553\) 210355. 364346.i 0.687864 1.19142i
\(554\) 259470. + 149805.i 0.845412 + 0.488099i
\(555\) −2116.15 13804.1i −0.00687007 0.0448149i
\(556\) 67781.0 + 117400.i 0.219260 + 0.379769i
\(557\) 318602.i 1.02692i −0.858112 0.513462i \(-0.828363\pi\)
0.858112 0.513462i \(-0.171637\pi\)
\(558\) −338312. 75429.3i −1.08655 0.242254i
\(559\) 16361.9 0.0523612
\(560\) 5386.88 3110.12i 0.0171775 0.00991746i
\(561\) 30061.7 77166.1i 0.0955187 0.245189i
\(562\) −1023.55 + 1772.83i −0.00324067 + 0.00561300i
\(563\) −41192.5 23782.5i −0.129958 0.0750311i 0.433612 0.901100i \(-0.357239\pi\)
−0.563569 + 0.826069i \(0.690572\pi\)
\(564\) −96678.0 + 77496.7i −0.303927 + 0.243627i
\(565\) −22452.7 38889.3i −0.0703351 0.121824i
\(566\) 61023.8i 0.190487i
\(567\) 24458.4 + 287531.i 0.0760785 + 0.894374i
\(568\) −144762. −0.448701
\(569\) 271738. 156888.i 0.839318 0.484580i −0.0177144 0.999843i \(-0.505639\pi\)
0.857032 + 0.515263i \(0.172306\pi\)
\(570\) −18577.0 23175.0i −0.0571775 0.0713296i
\(571\) −162047. + 280674.i −0.497015 + 0.860856i −0.999994 0.00344295i \(-0.998904\pi\)
0.502979 + 0.864299i \(0.332237\pi\)
\(572\) 260819. + 150584.i 0.797164 + 0.460243i
\(573\) 348133. + 135623.i 1.06032 + 0.413070i
\(574\) −37171.0 64382.0i −0.112818 0.195407i
\(575\) 370218.i 1.11975i
\(576\) 9024.91 40478.1i 0.0272018 0.122004i
\(577\) −292524. −0.878636 −0.439318 0.898332i \(-0.644780\pi\)
−0.439318 + 0.898332i \(0.644780\pi\)
\(578\) 199978. 115457.i 0.598585 0.345593i
\(579\) −531416. + 81465.3i −1.58518 + 0.243005i
\(580\) −3884.21 + 6727.64i −0.0115464 + 0.0199989i
\(581\) 135233. + 78077.0i 0.400619 + 0.231297i
\(582\) 28655.2 + 186924.i 0.0845974 + 0.551847i
\(583\) 139167. + 241043.i 0.409447 + 0.709183i
\(584\) 72320.7i 0.212049i
\(585\) −9512.52 30297.0i −0.0277961 0.0885294i
\(586\) 294884. 0.858729
\(587\) −32013.0 + 18482.7i −0.0929073 + 0.0536400i −0.545734 0.837959i \(-0.683749\pi\)
0.452827 + 0.891599i \(0.350416\pi\)
\(588\) 12193.3 31299.1i 0.0352667 0.0905269i
\(589\) −399428. + 691830.i −1.15135 + 1.99420i
\(590\) 21364.9 + 12335.1i 0.0613759 + 0.0354354i
\(591\) 86877.9 69641.0i 0.248734 0.199384i
\(592\) −22470.6 38920.2i −0.0641167 0.111053i
\(593\) 5939.58i 0.0168906i −0.999964 0.00844532i \(-0.997312\pi\)
0.999964 0.00844532i \(-0.00268826\pi\)
\(594\) 29404.0 436540.i 0.0833362 1.23723i
\(595\) −4214.62 −0.0119049
\(596\) −115069. + 66435.4i −0.323942 + 0.187028i
\(597\) −94773.1 118231.i −0.265911 0.331727i
\(598\) 149790. 259444.i 0.418871 0.725506i
\(599\) 135382. + 78162.8i 0.377318 + 0.217845i 0.676651 0.736304i \(-0.263431\pi\)
−0.299333 + 0.954149i \(0.596764\pi\)
\(600\) −117671. 45841.2i −0.326864 0.127337i
\(601\) −70819.1 122662.i −0.196066 0.339596i 0.751184 0.660093i \(-0.229483\pi\)
−0.947249 + 0.320498i \(0.896150\pi\)
\(602\) 11472.9i 0.0316578i
\(603\) −38487.5 35352.7i −0.105849 0.0972271i
\(604\) 88245.0 0.241889
\(605\) −58149.4 + 33572.6i −0.158867 + 0.0917220i
\(606\) −23065.3 + 3535.88i −0.0628078 + 0.00962836i
\(607\) −133819. + 231782.i −0.363196 + 0.629074i −0.988485 0.151320i \(-0.951648\pi\)
0.625289 + 0.780393i \(0.284981\pi\)
\(608\) −82775.5 47790.5i −0.223921 0.129281i
\(609\) −26358.1 171939.i −0.0710689 0.463597i
\(610\) 13202.5 + 22867.3i 0.0354809 + 0.0614548i
\(611\) 305309.i 0.817819i
\(612\) −19009.0 + 20694.6i −0.0507524 + 0.0552529i
\(613\) 191952. 0.510825 0.255413 0.966832i \(-0.417789\pi\)
0.255413 + 0.966832i \(0.417789\pi\)
\(614\) 9216.74 5321.29i 0.0244479 0.0141150i
\(615\) 4314.21 11074.3i 0.0114065 0.0292795i
\(616\) 105589. 182886.i 0.278265 0.481970i
\(617\) −332409. 191917.i −0.873178 0.504130i −0.00477496 0.999989i \(-0.501520\pi\)
−0.868403 + 0.495859i \(0.834853\pi\)
\(618\) 70595.2 56588.8i 0.184841 0.148168i
\(619\) −60619.2 104996.i −0.158208 0.274025i 0.776014 0.630715i \(-0.217238\pi\)
−0.934223 + 0.356691i \(0.883905\pi\)
\(620\) 26745.9i 0.0695784i
\(621\) −434238. 29248.9i −1.12602 0.0758450i
\(622\) −237302. −0.613368
\(623\) 19121.2 11039.6i 0.0492651 0.0284432i
\(624\) −63914.9 79734.6i −0.164147 0.204775i
\(625\) −190747. + 330383.i −0.488311 + 0.845780i
\(626\) 86797.5 + 50112.5i 0.221492 + 0.127879i
\(627\) −939597. 366040.i −2.39005 0.931095i
\(628\) 79738.4 + 138111.i 0.202185 + 0.350194i
\(629\) 30450.6i 0.0769653i
\(630\) −21244.2 + 6670.17i −0.0535253 + 0.0168057i
\(631\) −455676. −1.14445 −0.572226 0.820096i \(-0.693920\pi\)
−0.572226 + 0.820096i \(0.693920\pi\)
\(632\) 187442. 108220.i 0.469282 0.270940i
\(633\) 402222. 61660.0i 1.00382 0.153885i
\(634\) −215668. + 373548.i −0.536546 + 0.929325i
\(635\) −40866.6 23594.4i −0.101349 0.0585141i
\(636\) −14310.6 93350.9i −0.0353788 0.230783i
\(637\) −41384.4 71679.9i −0.101990 0.176652i
\(638\) 263740.i 0.647940i
\(639\) 505789. + 112770.i 1.23870 + 0.276179i
\(640\) 3200.08 0.00781269
\(641\) 496152. 286453.i 1.20753 0.697168i 0.245312 0.969444i \(-0.421110\pi\)
0.962219 + 0.272276i \(0.0877763\pi\)
\(642\) 5086.66 13057.0i 0.0123413 0.0316792i
\(643\) 224632. 389074.i 0.543313 0.941046i −0.455398 0.890288i \(-0.650503\pi\)
0.998711 0.0507578i \(-0.0161637\pi\)
\(644\) −181922. 105033.i −0.438645 0.253252i
\(645\) 1431.12 1147.18i 0.00343999 0.00275748i
\(646\) 32381.2 + 56085.9i 0.0775940 + 0.134397i
\(647\) 502638.i 1.20073i 0.799725 + 0.600366i \(0.204979\pi\)
−0.799725 + 0.600366i \(0.795021\pi\)
\(648\) −63065.0 + 134398.i −0.150189 + 0.320068i
\(649\) 837558. 1.98850
\(650\) −269484. + 155587.i −0.637833 + 0.368253i
\(651\) 374577. + 467289.i 0.883850 + 1.10261i
\(652\) −31744.9 + 54983.8i −0.0746756 + 0.129342i
\(653\) −595663. 343906.i −1.39693 0.806517i −0.402859 0.915262i \(-0.631983\pi\)
−0.994070 + 0.108745i \(0.965317\pi\)
\(654\) −60767.7 23673.4i −0.142075 0.0553484i
\(655\) 34072.3 + 59014.9i 0.0794179 + 0.137556i
\(656\) 38246.2i 0.0888752i
\(657\) 56337.9 252684.i 0.130518 0.585393i
\(658\) 214082. 0.494458
\(659\) −233033. + 134542.i −0.536595 + 0.309803i −0.743698 0.668516i \(-0.766930\pi\)
0.207103 + 0.978319i \(0.433597\pi\)
\(660\) 33371.0 5115.73i 0.0766093 0.0117441i
\(661\) 200626. 347494.i 0.459181 0.795324i −0.539737 0.841834i \(-0.681476\pi\)
0.998918 + 0.0465092i \(0.0148097\pi\)
\(662\) 90991.0 + 52533.7i 0.207626 + 0.119873i
\(663\) 10491.9 + 68440.7i 0.0238685 + 0.155700i
\(664\) 40167.7 + 69572.6i 0.0911048 + 0.157798i
\(665\) 51318.4i 0.116046i
\(666\) 48192.0 + 153489.i 0.108649 + 0.346043i
\(667\) 262349. 0.589696
\(668\) 132932. 76748.1i 0.297903 0.171995i
\(669\) 165525. 424890.i 0.369838 0.949345i
\(670\) 2016.25 3492.25i 0.00449154 0.00777957i
\(671\) 776354. + 448228.i 1.72431 + 0.995529i
\(672\) −55909.8 + 44817.1i −0.123808 + 0.0992442i
\(673\) 54368.5 + 94169.0i 0.120038 + 0.207911i 0.919782 0.392429i \(-0.128365\pi\)
−0.799745 + 0.600340i \(0.795032\pi\)
\(674\) 118978.i 0.261907i
\(675\) 375424. + 251832.i 0.823977 + 0.552718i
\(676\) −23313.8 −0.0510176
\(677\) −82318.9 + 47526.9i −0.179607 + 0.103696i −0.587108 0.809509i \(-0.699734\pi\)
0.407501 + 0.913205i \(0.366400\pi\)
\(678\) 323546. + 403628.i 0.703845 + 0.878054i
\(679\) 163370. 282965.i 0.354350 0.613752i
\(680\) −1877.77 1084.13i −0.00406093 0.00234458i
\(681\) 335742. + 130796.i 0.723956 + 0.282033i
\(682\) −454017. 786380.i −0.976120 1.69069i
\(683\) 704385.i 1.50997i −0.655741 0.754986i \(-0.727644\pi\)
0.655741 0.754986i \(-0.272356\pi\)
\(684\) 251984. + 231459.i 0.538593 + 0.494723i
\(685\) 24301.5 0.0517906
\(686\) −308933. + 178363.i −0.656472 + 0.379015i
\(687\) 238125. 36504.3i 0.504536 0.0773447i
\(688\) 2951.20 5111.63i 0.00623479 0.0107990i
\(689\) −201532. 116355.i −0.424528 0.245101i
\(690\) −5088.75 33195.0i −0.0106884 0.0697228i
\(691\) −441540. 764770.i −0.924729 1.60168i −0.791997 0.610525i \(-0.790959\pi\)
−0.132731 0.991152i \(-0.542375\pi\)
\(692\) 417505.i 0.871865i
\(693\) −511392. + 556739.i −1.06485 + 1.15927i
\(694\) −302351. −0.627757
\(695\) 32428.3 18722.5i 0.0671359 0.0387609i
\(696\) 32484.7 83385.7i 0.0670596 0.172137i
\(697\) −12957.2 + 22442.5i −0.0266713 + 0.0461960i
\(698\) −464643. 268262.i −0.953692 0.550614i
\(699\) −280181. + 224592.i −0.573435 + 0.459663i
\(700\) 109097. + 188962.i 0.222648 + 0.385637i
\(701\) 713342.i 1.45165i 0.687879 + 0.725825i \(0.258542\pi\)
−0.687879 + 0.725825i \(0.741458\pi\)
\(702\) 161202. + 328378.i 0.327111 + 0.666345i
\(703\) 370775. 0.750240
\(704\) 94088.3 54321.9i 0.189841 0.109605i
\(705\) 21406.2 + 26704.4i 0.0430686 + 0.0537286i
\(706\) −304605. + 527592.i −0.611122 + 1.05849i
\(707\) 34916.2 + 20158.9i 0.0698535 + 0.0403299i
\(708\) −264808. 103162.i −0.528280 0.205803i
\(709\) −39245.0 67974.3i −0.0780713 0.135223i 0.824346 0.566086i \(-0.191543\pi\)
−0.902418 + 0.430862i \(0.858210\pi\)
\(710\) 39986.2i 0.0793219i
\(711\) −739216. + 232096.i −1.46229 + 0.459122i
\(712\) 11359.0 0.0224068
\(713\) −782233. + 451623.i −1.53871 + 0.888376i
\(714\) 47990.5 7356.89i 0.0941368 0.0144310i
\(715\) 41594.4 72043.6i 0.0813623 0.140924i
\(716\) −84504.1 48788.5i −0.164836 0.0951681i
\(717\) −68515.4 446940.i −0.133275 0.869383i
\(718\) 165148. + 286044.i 0.320349 + 0.554862i
\(719\) 146207.i 0.282820i −0.989951 0.141410i \(-0.954836\pi\)
0.989951 0.141410i \(-0.0451636\pi\)
\(720\) −11180.9 2492.87i −0.0215681 0.00480877i
\(721\) −156325. −0.300717
\(722\) 363698. 209981.i 0.697696 0.402815i
\(723\) −226274. + 580829.i −0.432871 + 1.11115i
\(724\) 27481.9 47600.1i 0.0524288 0.0908094i
\(725\) −235994. 136251.i −0.448978 0.259217i
\(726\) 603526. 483784.i 1.14505 0.917864i
\(727\) −352617. 610750.i −0.667166 1.15557i −0.978693 0.205328i \(-0.934174\pi\)
0.311527 0.950237i \(-0.399159\pi\)
\(728\) 176563.i 0.333148i
\(729\) 325041. 420450.i 0.611622 0.791150i
\(730\) 19976.5 0.0374863
\(731\) −3463.47 + 1999.63i −0.00648151 + 0.00374210i
\(732\) −190249. 237338.i −0.355058 0.442939i
\(733\) −65548.2 + 113533.i −0.121998 + 0.211307i −0.920555 0.390612i \(-0.872263\pi\)
0.798558 + 0.601919i \(0.205597\pi\)
\(734\) −309134. 178479.i −0.573793 0.331279i
\(735\) −8645.46 3368.03i −0.0160035 0.00623449i
\(736\) −54035.4 93592.1i −0.0997523 0.172776i
\(737\) 136905.i 0.252048i
\(738\) −29793.8 + 133630.i −0.0547033 + 0.245353i
\(739\) 82938.7 0.151869 0.0759344 0.997113i \(-0.475806\pi\)
0.0759344 + 0.997113i \(0.475806\pi\)
\(740\) −10750.6 + 6206.84i −0.0196321 + 0.0113346i
\(741\) 833354. 127752.i 1.51772 0.232665i
\(742\) −81587.9 + 141314.i −0.148190 + 0.256672i
\(743\) 726053. + 419187.i 1.31520 + 0.759329i 0.982952 0.183865i \(-0.0588608\pi\)
0.332244 + 0.943193i \(0.392194\pi\)
\(744\) 46686.8 + 304548.i 0.0843428 + 0.550186i
\(745\) 18350.8 + 31784.5i 0.0330630 + 0.0572669i
\(746\) 315270.i 0.566507i
\(747\) −86146.5 274373.i −0.154382 0.491700i
\(748\) −73613.3 −0.131569
\(749\) −20967.7 + 12105.7i −0.0373755 + 0.0215788i
\(750\) −25424.3 + 65262.1i −0.0451987 + 0.116022i
\(751\) −154122. + 266948.i −0.273266 + 0.473311i −0.969696 0.244314i \(-0.921437\pi\)
0.696430 + 0.717625i \(0.254771\pi\)
\(752\) 95381.8 + 55068.7i 0.168667 + 0.0973799i
\(753\) −825195. + 661473.i −1.45535 + 1.16660i
\(754\) −110254. 190966.i −0.193934 0.335903i
\(755\) 24375.1i 0.0427614i
\(756\) 230258. 113034.i 0.402876 0.197773i
\(757\) 298072. 0.520151 0.260075 0.965588i \(-0.416253\pi\)
0.260075 + 0.965588i \(0.416253\pi\)
\(758\) 491264. 283631.i 0.855020 0.493646i
\(759\) −713110. 889612.i −1.23786 1.54425i
\(760\) −13200.7 + 22864.3i −0.0228544 + 0.0395850i
\(761\) 205714. + 118769.i 0.355218 + 0.205085i 0.666981 0.745075i \(-0.267586\pi\)
−0.311763 + 0.950160i \(0.600920\pi\)
\(762\) 506521. + 197326.i 0.872344 + 0.339840i
\(763\) 56340.2 + 97584.1i 0.0967764 + 0.167622i
\(764\) 332104.i 0.568968i
\(765\) 5716.28 + 5250.68i 0.00976767 + 0.00897207i
\(766\) 213907. 0.364559
\(767\) −606450. + 350134.i