Properties

Label 18.5.d.a.11.4
Level $18$
Weight $5$
Character 18.11
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 11.4
Root \(0.500000 + 3.61825i\) of defining polynomial
Character \(\chi\) \(=\) 18.11
Dual form 18.5.d.a.5.4

$q$-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 \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\)

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 −0.537786 0.843082i \(-0.680739\pi\)
0.461237 + 0.887277i \(0.347406\pi\)
\(6\) 23.7195 9.24044i 0.658875 0.256679i
\(7\) −21.9913 + 38.0900i −0.448802 + 0.777348i −0.998308 0.0581419i \(-0.981482\pi\)
0.549507 + 0.835489i \(0.314816\pi\)
\(8\) 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 −0.999757 0.0220466i \(-0.992982\pi\)
−0.518971 0.854792i \(-0.673685\pi\)
\(12\) 71.1686 + 10.9101i 0.494226 + 0.0757643i
\(13\) 88.7063 + 153.644i 0.524889 + 0.909135i 0.999580 + 0.0289822i \(0.00922662\pi\)
−0.474691 + 0.880153i \(0.657440\pi\)
\(14\) −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 \(-0.976096\pi\)
0.997182 0.0750246i \(-0.0239035\pi\)
\(18\) 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 0.0758941 0.997116i \(-0.475819\pi\)
0.901475 + 0.432832i \(0.142486\pi\)
\(24\) 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 0.708891 0.705318i \(-0.249196\pi\)
−0.256378 + 0.966577i \(0.582529\pi\)
\(30\) −35.1827 + 43.8908i −0.0390918 + 0.0487675i
\(31\) −756.471 1310.25i −0.787170 1.36342i −0.927694 0.373342i \(-0.878212\pi\)
0.140523 0.990077i \(-0.455121\pi\)
\(32\) −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 −0.338101 0.941110i \(-0.609785\pi\)
0.645974 + 0.763359i \(0.276451\pi\)
\(42\) −169.653 + 1106.69i −0.0961754 + 0.627373i
\(43\) 46.1125 79.8692i 0.0249392 0.0431959i −0.853286 0.521442i \(-0.825394\pi\)
0.878226 + 0.478247i \(0.158727\pi\)
\(44\) 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 0.123175 0.992385i \(-0.460692\pi\)
−0.797843 + 0.602865i \(0.794026\pi\)
\(48\) 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 \(0.0750111\pi\)
−0.972362 + 0.233479i \(0.924989\pi\)
\(54\) −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 −0.902870 0.429913i \(-0.858544\pi\)
−0.0791193 + 0.996865i \(0.525211\pi\)
\(60\) −148.250 + 57.7542i −0.0411807 + 0.0160428i
\(61\) −2112.34 + 3658.68i −0.567681 + 0.983253i 0.429114 + 0.903251i \(0.358826\pi\)
−0.996795 + 0.0800020i \(0.974507\pi\)
\(62\) 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 0.827855 0.560942i \(-0.189561\pi\)
−0.899718 + 0.436472i \(0.856228\pi\)
\(68\) 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 \(0.218819\pi\)
−0.772874 + 0.634560i \(0.781181\pi\)
\(72\) 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 −0.173204 0.984886i \(-0.555412\pi\)
0.939538 0.342444i \(-0.111255\pi\)
\(80\) 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 0.259954 0.965621i \(-0.416292\pi\)
−0.706275 + 0.707938i \(0.749626\pi\)
\(84\) −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 \(-0.989912\pi\)
0.999498 0.0316879i \(-0.0100883\pi\)
\(90\) 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 −0.598299 0.801273i \(-0.704157\pi\)
0.993072 + 0.117506i \(0.0374899\pi\)
\(98\) 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 0.460584 0.887616i \(-0.347640\pi\)
−0.538406 + 0.842685i \(0.680973\pi\)
\(102\) −400.705 1028.58i −0.0385145 0.0988636i
\(103\) 1777.12 + 3078.07i 0.167511 + 0.290137i 0.937544 0.347866i \(-0.113094\pi\)
−0.770033 + 0.638004i \(0.779760\pi\)
\(104\) −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 \(0.00765304\pi\)
−0.999711 + 0.0240404i \(0.992347\pi\)
\(108\) −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 0.386299 0.922374i \(-0.373753\pi\)
0.991948 + 0.126642i \(0.0404200\pi\)
\(114\) 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 −0.558616 + 0.829426i \(0.688667\pi\)
−0.997612 + 0.0690626i \(0.977999\pi\)
\(132\) −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 0.224347 0.974509i \(-0.427975\pi\)
−0.731777 + 0.681545i \(0.761309\pi\)
\(138\) 9505.31 11858.0i 0.499124 0.622663i
\(139\) −8472.63 14675.0i −0.438519 0.759537i 0.559056 0.829130i \(-0.311163\pi\)
−0.997576 + 0.0695923i \(0.977830\pi\)
\(140\) 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 −0.787645 0.616129i \(-0.788700\pi\)
0.139761 + 0.990185i \(0.455367\pi\)
\(150\) −2391.97 + 15603.3i −0.106310 + 0.693481i
\(151\) 5515.31 9552.80i 0.241889 0.418964i −0.719363 0.694634i \(-0.755566\pi\)
0.961252 + 0.275670i \(0.0888996\pi\)
\(152\) 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 0.589879 0.807492i \(-0.299176\pi\)
−0.994248 + 0.107104i \(0.965842\pi\)
\(158\) 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 −0.171583 0.985170i \(-0.554888\pi\)
0.767390 + 0.641180i \(0.221555\pi\)
\(168\) −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 0.999930 + 0.0118002i \(0.00375621\pi\)
0.510184 + 0.860065i \(0.329577\pi\)
\(174\) 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 \(0.0609578\pi\)
−0.981719 + 0.190336i \(0.939042\pi\)
\(180\) −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 0.903921 0.427700i \(-0.140676\pi\)
0.0815609 + 0.996668i \(0.474009\pi\)
\(192\) −2882.09 + 3595.44i −0.0781818 + 0.0975326i
\(193\) −29868.0 51732.9i −0.801847 1.38884i −0.918399 0.395654i \(-0.870518\pi\)
0.116553 0.993184i \(-0.462816\pi\)
\(194\) 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 \(0.0509532\pi\)
−0.987215 + 0.159391i \(0.949047\pi\)
\(198\) −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 0.999959 + 0.00900203i \(0.00286547\pi\)
−0.492184 + 0.870491i \(0.663801\pi\)
\(212\) −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 0.490520 + 0.871430i \(0.336807\pi\)
−0.999940 + 0.0109118i \(0.996527\pi\)
\(224\) 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 0.797159 0.603769i \(-0.206335\pi\)
−0.124299 + 0.992245i \(0.539668\pi\)
\(228\) 37578.1 + 5760.68i 0.722878 + 0.110816i
\(229\) 13383.7 + 23181.3i 0.255215 + 0.442045i 0.964954 0.262419i \(-0.0845204\pi\)
−0.709739 + 0.704465i \(0.751187\pi\)
\(230\) −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 \(-0.880226\pi\)
0.930038 0.367464i \(-0.119774\pi\)
\(234\) 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 −0.829907 0.557902i \(-0.811607\pi\)
0.0682035 + 0.997671i \(0.478273\pi\)
\(240\) −993.135 796.093i −0.0172419 0.0138211i
\(241\) 34630.4 59981.6i 0.596243 1.03272i −0.397127 0.917764i \(-0.629993\pi\)
0.993370 0.114960i \(-0.0366740\pi\)
\(242\) 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 \(-0.617532\pi\)
0.360904 0.932603i \(-0.382468\pi\)
\(252\) 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 −0.846096 0.533030i \(-0.821053\pi\)
0.0385699 + 0.999256i \(0.487720\pi\)
\(258\) 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 0.651827 0.758368i \(-0.274003\pi\)
−0.330853 + 0.943682i \(0.607336\pi\)
\(264\) −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 \(0.161845\pi\)
−0.873499 + 0.486826i \(0.838155\pi\)
\(270\) 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 −0.281472 0.959570i \(-0.590823\pi\)
0.971747 0.236023i \(-0.0758441\pi\)
\(278\) 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 0.496026 0.868308i \(-0.334792\pi\)
−0.503964 + 0.863725i \(0.668125\pi\)
\(282\) −43301.1 6638.00i −0.544503 0.0834716i
\(283\) 10787.6 + 18684.6i 0.134695 + 0.233299i 0.925481 0.378794i \(-0.123661\pi\)
−0.790786 + 0.612093i \(0.790328\pi\)
\(284\) −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 0.128593 0.991697i \(-0.458954\pi\)
0.923132 + 0.384484i \(0.125621\pi\)
\(294\) 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 −0.826135 0.563473i \(-0.809465\pi\)
0.0749146 + 0.997190i \(0.476132\pi\)
\(312\) −5474.65 + 35712.3i −0.0562402 + 0.366867i
\(313\) 17717.5 30687.5i 0.180848 0.313237i −0.761322 0.648374i \(-0.775449\pi\)
0.942169 + 0.335137i \(0.108783\pi\)
\(314\) 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 −0.331465 0.943468i \(-0.607543\pi\)
−0.982799 + 0.184677i \(0.940876\pi\)
\(318\) 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 −0.768727 0.639577i \(-0.779110\pi\)
0.938253 + 0.345949i \(0.112443\pi\)
\(332\) 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 0.943643 0.330966i \(-0.107374\pi\)
−0.758446 + 0.651736i \(0.774041\pi\)
\(338\) −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 −0.832462 0.554083i \(-0.813069\pi\)
0.0636189 + 0.997974i \(0.479736\pi\)
\(348\) 24687.0 + 19789.0i 0.203850 + 0.163405i
\(349\) −94844.8 + 164276.i −0.778686 + 1.34872i 0.154013 + 0.988069i \(0.450780\pi\)
−0.932699 + 0.360655i \(0.882553\pi\)
\(350\) 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 −0.496944 0.867783i \(-0.665545\pi\)
−0.999994 + 0.00352519i \(0.998878\pi\)
\(354\) −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 \(-0.850339\pi\)
0.891489 0.453043i \(-0.149661\pi\)
\(360\) −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 −0.999352 0.0359992i \(-0.988539\pi\)
0.530852 + 0.847464i \(0.321872\pi\)
\(368\) 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 0.593215 0.805044i \(-0.297858\pi\)
−0.993796 + 0.111218i \(0.964525\pi\)
\(374\) −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 −0.259856 0.965648i \(-0.583675\pi\)
0.706347 + 0.707865i \(0.250342\pi\)
\(384\) −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 0.996055 + 0.0887346i \(0.0282823\pi\)
0.574874 + 0.818242i \(0.305051\pi\)
\(390\) −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 −0.543281 0.839551i \(-0.682818\pi\)
0.455432 + 0.890271i \(0.349485\pi\)
\(402\) −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 0.876996 0.480497i \(-0.159544\pi\)
−0.854621 + 0.519252i \(0.826210\pi\)
\(410\) −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 −0.744147 0.668016i \(-0.767144\pi\)
0.206446 + 0.978458i \(0.433810\pi\)
\(420\) 1060.36 6916.96i 0.00601111 0.0392118i
\(421\) −165636. + 286890.i −0.934525 + 1.61865i −0.159047 + 0.987271i \(0.550842\pi\)
−0.775478 + 0.631374i \(0.782491\pi\)
\(422\) 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 \(0.259399\pi\)
−0.685922 + 0.727675i \(0.740601\pi\)
\(432\) 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 −0.707503 0.706710i \(-0.750178\pi\)
0.965781 + 0.259360i \(0.0835117\pi\)
\(440\) 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 0.902219 0.431279i \(-0.141937\pi\)
0.0776111 + 0.996984i \(0.475271\pi\)
\(444\) 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 \(-0.659045\pi\)
0.479122 0.877749i \(-0.340955\pi\)
\(450\) 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 −0.372288 0.928117i \(-0.621427\pi\)
0.989917 0.141647i \(-0.0452399\pi\)
\(458\) 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 0.865596 0.500743i \(-0.166940\pi\)
−0.000858089 1.00000i \(0.500273\pi\)
\(462\) 148593. 185371.i 0.696169 0.868478i
\(463\) 34545.2 + 59834.0i 0.161148 + 0.279117i 0.935281 0.353907i \(-0.115147\pi\)
−0.774133 + 0.633024i \(0.781814\pi\)
\(464\) −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 \(-0.906633\pi\)
0.957289 0.289132i \(-0.0933667\pi\)
\(468\) 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 −0.151952 0.988388i \(-0.548556\pi\)
−0.931945 + 0.362599i \(0.881889\pi\)
\(480\) −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 −0.946580 0.322469i \(-0.895487\pi\)
−0.194024 + 0.980997i \(0.562154\pi\)
\(492\) 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 0.992688 0.120704i \(-0.0385153\pi\)
−0.600877 + 0.799341i \(0.705182\pi\)
\(500\) 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 \(-0.986551\pi\)
0.999108 0.0422388i \(-0.0134490\pi\)
\(504\) −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 −0.627508 0.778610i \(-0.715925\pi\)
0.360543 + 0.932743i \(0.382592\pi\)
\(510\) 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 \(-0.915316\pi\)
0.964819 0.262915i \(-0.0846839\pi\)
\(522\) 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 −0.539338 0.842090i \(-0.681325\pi\)
0.998940 + 0.0460355i \(0.0146587\pi\)
\(548\) 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 \(0.171637\pi\)
−0.858112 + 0.513462i \(0.828363\pi\)
\(558\) −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 −0.563569 0.826069i \(-0.690572\pi\)
0.433612 + 0.901100i \(0.357239\pi\)
\(564\) −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 0.857032 0.515263i \(-0.172306\pi\)
−0.0177144 + 0.999843i \(0.505639\pi\)
\(570\) −18577.0 + 23175.0i −0.0571775 + 0.0713296i
\(571\) −162047. 280674.i −0.497015 0.860856i 0.502979 0.864299i \(-0.332237\pi\)
−0.999994 + 0.00344295i \(0.998904\pi\)
\(572\) 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 0.452827 0.891599i \(-0.350416\pi\)
−0.545734 + 0.837959i \(0.683749\pi\)
\(588\) 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 \(0.00268826\pi\)
−0.999964 + 0.00844532i \(0.997312\pi\)
\(594\) 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 −0.299333 0.954149i \(-0.596764\pi\)
0.676651 + 0.736304i \(0.263431\pi\)
\(600\) −117671. + 45841.2i −0.326864 + 0.127337i
\(601\) −70819.1 + 122662.i −0.196066 + 0.339596i −0.947249 0.320498i \(-0.896150\pi\)
0.751184 + 0.660093i \(0.229483\pi\)
\(602\) 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 0.625289 0.780393i \(-0.284981\pi\)
−0.988485 + 0.151320i \(0.951648\pi\)
\(608\) −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 −0.868403 0.495859i \(-0.834853\pi\)
−0.00477496 + 0.999989i \(0.501520\pi\)
\(618\) 70595.2 + 56588.8i 0.184841 + 0.148168i
\(619\) −60619.2 + 104996.i −0.158208 + 0.274025i −0.934223 0.356691i \(-0.883905\pi\)
0.776014 + 0.630715i \(0.217238\pi\)
\(620\) 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 0.962219 0.272276i \(-0.0877763\pi\)
0.245312 + 0.969444i \(0.421110\pi\)
\(642\) 5086.66 + 13057.0i 0.0123413 + 0.0316792i
\(643\) 224632. + 389074.i 0.543313 + 0.941046i 0.998711 + 0.0507578i \(0.0161637\pi\)
−0.455398 + 0.890288i \(0.650503\pi\)
\(644\) −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 \(-0.795021\pi\)
0.799725 0.600366i \(-0.204979\pi\)
\(648\) −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 −0.994070 0.108745i \(-0.965317\pi\)
−0.402859 + 0.915262i \(0.631983\pi\)
\(654\) −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 0.207103 0.978319i \(-0.433597\pi\)
−0.743698 + 0.668516i \(0.766930\pi\)
\(660\) 33371.0 + 5115.73i 0.0766093 + 0.0117441i
\(661\) 200626. + 347494.i 0.459181 + 0.795324i 0.998918 0.0465092i \(-0.0148097\pi\)
−0.539737 + 0.841834i \(0.681476\pi\)
\(662\) 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 −0.799745 0.600340i \(-0.795032\pi\)
0.919782 + 0.392429i \(0.128365\pi\)
\(674\) 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 0.407501 0.913205i \(-0.366400\pi\)
−0.587108 + 0.809509i \(0.699734\pi\)
\(678\) 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 \(0.272356\pi\)
−0.655741 + 0.754986i \(0.727644\pi\)
\(684\) 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 −0.132731 + 0.991152i \(0.542375\pi\)
−0.791997 + 0.610525i \(0.790959\pi\)
\(692\) 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 \(-0.741458\pi\)
0.687879 0.725825i \(-0.258542\pi\)
\(702\) 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 −0.902418 0.430862i \(-0.858210\pi\)
0.824346 + 0.566086i \(0.191543\pi\)
\(710\) 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 \(0.0451636\pi\)
−0.989951 + 0.141410i \(0.954836\pi\)
\(720\) −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 0.311527 + 0.950237i \(0.399159\pi\)
−0.978693 + 0.205328i \(0.934174\pi\)
\(728\) 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 0.798558 0.601919i \(-0.205597\pi\)
−0.920555 + 0.390612i \(0.872263\pi\)
\(734\) −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 0.332244 0.943193i \(-0.392194\pi\)
0.982952 + 0.183865i \(0.0588608\pi\)
\(744\) 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 0.696430 0.717625i \(-0.254771\pi\)
−0.969696 + 0.244314i \(0.921437\pi\)
\(752\) 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 −0.311763 0.950160i \(-0.600920\pi\)
0.666981 + 0.745075i \(0.267586\pi\)
\(762\) 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 −1.03087