Properties

Label 63.4.s.a.47.1
Level $63$
Weight $4$
Character 63.47
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 47.1
Character \(\chi\) \(=\) 63.47
Dual form 63.4.s.a.59.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.53659 + 2.61920i) q^{2} +(2.85276 + 4.34301i) q^{3} +(9.72046 - 16.8363i) q^{4} -12.2114 q^{5} +(-24.3171 - 12.2305i) q^{6} +(-10.8477 - 15.0109i) q^{7} +59.9322i q^{8} +(-10.7235 + 24.7791i) q^{9} +O(q^{10})\) \(q+(-4.53659 + 2.61920i) q^{2} +(2.85276 + 4.34301i) q^{3} +(9.72046 - 16.8363i) q^{4} -12.2114 q^{5} +(-24.3171 - 12.2305i) q^{6} +(-10.8477 - 15.0109i) q^{7} +59.9322i q^{8} +(-10.7235 + 24.7791i) q^{9} +(55.3983 - 31.9842i) q^{10} -63.6103i q^{11} +(100.851 - 5.81394i) q^{12} +(13.7938 - 7.96386i) q^{13} +(88.5281 + 39.6863i) q^{14} +(-34.8363 - 53.0344i) q^{15} +(-79.2109 - 137.197i) q^{16} +(17.9283 + 31.0528i) q^{17} +(-16.2534 - 140.500i) q^{18} +(-13.8136 - 7.97531i) q^{19} +(-118.701 + 205.596i) q^{20} +(34.2469 - 89.9341i) q^{21} +(166.608 + 288.574i) q^{22} -45.6368i q^{23} +(-260.286 + 170.972i) q^{24} +24.1192 q^{25} +(-41.7179 + 72.2576i) q^{26} +(-138.208 + 24.1166i) q^{27} +(-358.173 + 36.7217i) q^{28} +(-206.656 - 119.313i) q^{29} +(296.946 + 149.352i) q^{30} +(-117.170 - 67.6480i) q^{31} +(303.473 + 175.210i) q^{32} +(276.260 - 181.465i) q^{33} +(-162.667 - 93.9160i) q^{34} +(132.466 + 183.305i) q^{35} +(312.952 + 421.409i) q^{36} +(18.0766 - 31.3095i) q^{37} +83.5558 q^{38} +(73.9376 + 37.1877i) q^{39} -731.858i q^{40} +(-84.5046 - 146.366i) q^{41} +(80.1916 + 497.694i) q^{42} +(-37.8895 + 65.6266i) q^{43} +(-1070.96 - 618.321i) q^{44} +(130.950 - 302.589i) q^{45} +(119.532 + 207.036i) q^{46} +(3.46782 + 6.00643i) q^{47} +(369.880 - 735.405i) q^{48} +(-107.656 + 325.667i) q^{49} +(-109.419 + 63.1731i) q^{50} +(-83.7175 + 166.449i) q^{51} -309.649i q^{52} +(-33.2929 + 19.2216i) q^{53} +(563.826 - 471.402i) q^{54} +776.773i q^{55} +(899.638 - 650.124i) q^{56} +(-4.77014 - 82.7444i) q^{57} +1250.02 q^{58} +(-62.2422 + 107.807i) q^{59} +(-1231.53 + 70.9965i) q^{60} +(-445.858 + 257.416i) q^{61} +708.735 q^{62} +(488.283 - 107.826i) q^{63} -568.272 q^{64} +(-168.442 + 97.2502i) q^{65} +(-777.987 + 1546.81i) q^{66} +(-167.966 + 290.926i) q^{67} +697.087 q^{68} +(198.201 - 130.191i) q^{69} +(-1081.06 - 484.626i) q^{70} -716.432i q^{71} +(-1485.07 - 642.684i) q^{72} +(725.427 - 418.826i) q^{73} +189.385i q^{74} +(68.8063 + 104.750i) q^{75} +(-268.550 + 155.047i) q^{76} +(-954.850 + 690.023i) q^{77} +(-432.827 + 24.9521i) q^{78} +(204.927 + 354.944i) q^{79} +(967.279 + 1675.38i) q^{80} +(-499.012 - 531.439i) q^{81} +(766.726 + 442.670i) q^{82} +(135.674 - 234.994i) q^{83} +(-1181.27 - 1450.79i) q^{84} +(-218.931 - 379.199i) q^{85} -396.962i q^{86} +(-71.3628 - 1237.88i) q^{87} +3812.30 q^{88} +(-717.489 + 1242.73i) q^{89} +(198.477 + 1715.71i) q^{90} +(-269.176 - 120.669i) q^{91} +(-768.356 - 443.611i) q^{92} +(-40.4612 - 701.853i) q^{93} +(-31.4641 - 18.1658i) q^{94} +(168.684 + 97.3899i) q^{95} +(104.796 + 1817.82i) q^{96} +(433.147 + 250.077i) q^{97} +(-364.596 - 1759.39i) q^{98} +(1576.21 + 682.126i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} + O(q^{10}) \) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} - 6q^{10} - 3q^{12} + 36q^{13} + 129q^{14} - 141q^{15} - 263q^{16} + 72q^{17} - 15q^{18} - 6q^{19} - 24q^{20} - 306q^{21} + 14q^{22} - 66q^{24} + 698q^{25} + 96q^{26} - 432q^{27} - 156q^{28} - 132q^{29} + 852q^{30} + 177q^{31} - 501q^{32} + 849q^{33} - 24q^{34} - 765q^{35} + 1122q^{36} + 82q^{37} - 1746q^{38} - 645q^{39} - 618q^{41} - 963q^{42} + 82q^{43} - 603q^{44} + 303q^{45} + 266q^{46} - 201q^{47} + 1569q^{48} + 515q^{49} - 1845q^{50} + 417q^{51} - 564q^{53} - 684q^{54} + 3600q^{56} + 1170q^{57} - 538q^{58} + 747q^{59} - 516q^{60} - 1209q^{61} + 2904q^{62} + 1557q^{63} - 1144q^{64} - 831q^{65} + 1029q^{66} + 295q^{67} + 7008q^{68} + 1005q^{69} - 390q^{70} - 1119q^{72} - 6q^{73} - 1788q^{75} + 144q^{76} - 1203q^{77} - 5985q^{78} - 551q^{79} + 4239q^{80} + 3741q^{81} + 18q^{82} - 1830q^{83} - 7725q^{84} - 237q^{85} - 2130q^{87} + 1246q^{88} - 4266q^{89} - 9993q^{90} - 1140q^{91} + 7896q^{92} - 1479q^{93} - 3q^{94} - 1053q^{95} + 5034q^{96} + 792q^{97} - 5667q^{98} + 4335q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.53659 + 2.61920i −1.60393 + 0.926028i −0.613237 + 0.789899i \(0.710133\pi\)
−0.990691 + 0.136130i \(0.956534\pi\)
\(3\) 2.85276 + 4.34301i 0.549014 + 0.835813i
\(4\) 9.72046 16.8363i 1.21506 2.10454i
\(5\) −12.2114 −1.09222 −0.546112 0.837712i \(-0.683893\pi\)
−0.546112 + 0.837712i \(0.683893\pi\)
\(6\) −24.3171 12.2305i −1.65457 0.832182i
\(7\) −10.8477 15.0109i −0.585719 0.810514i
\(8\) 59.9322i 2.64865i
\(9\) −10.7235 + 24.7791i −0.397167 + 0.917746i
\(10\) 55.3983 31.9842i 1.75185 1.01143i
\(11\) 63.6103i 1.74357i −0.489892 0.871783i \(-0.662964\pi\)
0.489892 0.871783i \(-0.337036\pi\)
\(12\) 100.851 5.81394i 2.42609 0.139862i
\(13\) 13.7938 7.96386i 0.294286 0.169906i −0.345587 0.938387i \(-0.612320\pi\)
0.639873 + 0.768481i \(0.278987\pi\)
\(14\) 88.5281 + 39.6863i 1.69001 + 0.757614i
\(15\) −34.8363 53.0344i −0.599646 0.912895i
\(16\) −79.2109 137.197i −1.23767 2.14371i
\(17\) 17.9283 + 31.0528i 0.255780 + 0.443024i 0.965107 0.261855i \(-0.0843343\pi\)
−0.709327 + 0.704880i \(0.751001\pi\)
\(18\) −16.2534 140.500i −0.212831 1.83979i
\(19\) −13.8136 7.97531i −0.166793 0.0962979i 0.414280 0.910150i \(-0.364033\pi\)
−0.581073 + 0.813852i \(0.697367\pi\)
\(20\) −118.701 + 205.596i −1.32711 + 2.29863i
\(21\) 34.2469 89.9341i 0.355871 0.934535i
\(22\) 166.608 + 288.574i 1.61459 + 2.79655i
\(23\) 45.6368i 0.413736i −0.978369 0.206868i \(-0.933673\pi\)
0.978369 0.206868i \(-0.0663271\pi\)
\(24\) −260.286 + 170.972i −2.21378 + 1.45415i
\(25\) 24.1192 0.192953
\(26\) −41.7179 + 72.2576i −0.314675 + 0.545034i
\(27\) −138.208 + 24.1166i −0.985115 + 0.171898i
\(28\) −358.173 + 36.7217i −2.41744 + 0.247848i
\(29\) −206.656 119.313i −1.32328 0.763996i −0.339030 0.940776i \(-0.610099\pi\)
−0.984251 + 0.176779i \(0.943432\pi\)
\(30\) 296.946 + 149.352i 1.80716 + 0.908929i
\(31\) −117.170 67.6480i −0.678848 0.391933i 0.120573 0.992705i \(-0.461527\pi\)
−0.799421 + 0.600771i \(0.794860\pi\)
\(32\) 303.473 + 175.210i 1.67647 + 0.967909i
\(33\) 276.260 181.465i 1.45730 0.957242i
\(34\) −162.667 93.9160i −0.820506 0.473719i
\(35\) 132.466 + 183.305i 0.639736 + 0.885263i
\(36\) 312.952 + 421.409i 1.44885 + 1.95097i
\(37\) 18.0766 31.3095i 0.0803180 0.139115i −0.823069 0.567942i \(-0.807740\pi\)
0.903387 + 0.428827i \(0.141073\pi\)
\(38\) 83.5558 0.356698
\(39\) 73.9376 + 37.1877i 0.303577 + 0.152687i
\(40\) 731.858i 2.89292i
\(41\) −84.5046 146.366i −0.321888 0.557526i 0.658990 0.752152i \(-0.270984\pi\)
−0.980878 + 0.194626i \(0.937651\pi\)
\(42\) 80.1916 + 497.694i 0.294615 + 1.82847i
\(43\) −37.8895 + 65.6266i −0.134374 + 0.232743i −0.925358 0.379094i \(-0.876236\pi\)
0.790984 + 0.611837i \(0.209569\pi\)
\(44\) −1070.96 618.321i −3.66941 2.11853i
\(45\) 130.950 302.589i 0.433796 1.00238i
\(46\) 119.532 + 207.036i 0.383131 + 0.663603i
\(47\) 3.46782 + 6.00643i 0.0107624 + 0.0186410i 0.871356 0.490651i \(-0.163241\pi\)
−0.860594 + 0.509292i \(0.829907\pi\)
\(48\) 369.880 735.405i 1.11224 2.21139i
\(49\) −107.656 + 325.667i −0.313867 + 0.949467i
\(50\) −109.419 + 63.1731i −0.309484 + 0.178680i
\(51\) −83.7175 + 166.449i −0.229859 + 0.457011i
\(52\) 309.649i 0.825782i
\(53\) −33.2929 + 19.2216i −0.0862854 + 0.0498169i −0.542522 0.840042i \(-0.682530\pi\)
0.456236 + 0.889859i \(0.349197\pi\)
\(54\) 563.826 471.402i 1.42087 1.18796i
\(55\) 776.773i 1.90436i
\(56\) 899.638 650.124i 2.14677 1.55137i
\(57\) −4.77014 82.7444i −0.0110846 0.192277i
\(58\) 1250.02 2.82993
\(59\) −62.2422 + 107.807i −0.137343 + 0.237885i −0.926490 0.376319i \(-0.877190\pi\)
0.789147 + 0.614204i \(0.210523\pi\)
\(60\) −1231.53 + 70.9965i −2.64983 + 0.152760i
\(61\) −445.858 + 257.416i −0.935841 + 0.540308i −0.888654 0.458578i \(-0.848359\pi\)
−0.0471866 + 0.998886i \(0.515026\pi\)
\(62\) 708.735 1.45177
\(63\) 488.283 107.826i 0.976475 0.215632i
\(64\) −568.272 −1.10991
\(65\) −168.442 + 97.2502i −0.321426 + 0.185575i
\(66\) −777.987 + 1546.81i −1.45096 + 2.88484i
\(67\) −167.966 + 290.926i −0.306273 + 0.530481i −0.977544 0.210731i \(-0.932415\pi\)
0.671271 + 0.741212i \(0.265749\pi\)
\(68\) 697.087 1.24315
\(69\) 198.201 130.191i 0.345806 0.227147i
\(70\) −1081.06 484.626i −1.84587 0.827485i
\(71\) 716.432i 1.19753i −0.800924 0.598767i \(-0.795658\pi\)
0.800924 0.598767i \(-0.204342\pi\)
\(72\) −1485.07 642.684i −2.43079 1.05196i
\(73\) 725.427 418.826i 1.16308 0.671504i 0.211040 0.977478i \(-0.432315\pi\)
0.952040 + 0.305973i \(0.0989818\pi\)
\(74\) 189.385i 0.297507i
\(75\) 68.8063 + 104.750i 0.105934 + 0.161273i
\(76\) −268.550 + 155.047i −0.405326 + 0.234015i
\(77\) −954.850 + 690.023i −1.41319 + 1.02124i
\(78\) −432.827 + 24.9521i −0.628308 + 0.0362213i
\(79\) 204.927 + 354.944i 0.291849 + 0.505498i 0.974247 0.225483i \(-0.0723960\pi\)
−0.682398 + 0.730981i \(0.739063\pi\)
\(80\) 967.279 + 1675.38i 1.35181 + 2.34141i
\(81\) −499.012 531.439i −0.684516 0.728998i
\(82\) 766.726 + 442.670i 1.03257 + 0.596155i
\(83\) 135.674 234.994i 0.179423 0.310770i −0.762260 0.647271i \(-0.775910\pi\)
0.941683 + 0.336501i \(0.109243\pi\)
\(84\) −1181.27 1450.79i −1.53436 1.88446i
\(85\) −218.931 379.199i −0.279369 0.483882i
\(86\) 396.962i 0.497738i
\(87\) −71.3628 1237.88i −0.0879413 1.52546i
\(88\) 3812.30 4.61810
\(89\) −717.489 + 1242.73i −0.854535 + 1.48010i 0.0225404 + 0.999746i \(0.492825\pi\)
−0.877076 + 0.480352i \(0.840509\pi\)
\(90\) 198.477 + 1715.71i 0.232459 + 2.00946i
\(91\) −269.176 120.669i −0.310080 0.139006i
\(92\) −768.356 443.611i −0.870725 0.502713i
\(93\) −40.4612 701.853i −0.0451143 0.782567i
\(94\) −31.4641 18.1658i −0.0345242 0.0199326i
\(95\) 168.684 + 97.3899i 0.182175 + 0.105179i
\(96\) 104.796 + 1817.82i 0.111413 + 1.93261i
\(97\) 433.147 + 250.077i 0.453396 + 0.261768i 0.709263 0.704944i \(-0.249028\pi\)
−0.255868 + 0.966712i \(0.582361\pi\)
\(98\) −364.596 1759.39i −0.375813 1.81353i
\(99\) 1576.21 + 682.126i 1.60015 + 0.692487i
\(100\) 234.450 406.078i 0.234450 0.406078i
\(101\) 1837.11 1.80989 0.904945 0.425529i \(-0.139912\pi\)
0.904945 + 0.425529i \(0.139912\pi\)
\(102\) −56.1724 974.386i −0.0545284 0.945868i
\(103\) 672.703i 0.643528i −0.946820 0.321764i \(-0.895724\pi\)
0.946820 0.321764i \(-0.104276\pi\)
\(104\) 477.291 + 826.693i 0.450022 + 0.779461i
\(105\) −418.204 + 1098.23i −0.388691 + 1.02072i
\(106\) 100.691 174.402i 0.0922637 0.159805i
\(107\) 837.754 + 483.678i 0.756904 + 0.436999i 0.828183 0.560457i \(-0.189375\pi\)
−0.0712787 + 0.997456i \(0.522708\pi\)
\(108\) −937.408 + 2561.34i −0.835204 + 2.28208i
\(109\) −749.801 1298.69i −0.658880 1.14121i −0.980906 0.194483i \(-0.937697\pi\)
0.322026 0.946731i \(-0.395636\pi\)
\(110\) −2034.53 3523.90i −1.76350 3.05446i
\(111\) 187.546 10.8118i 0.160370 0.00924517i
\(112\) −1200.21 + 2677.30i −1.01258 + 2.25876i
\(113\) −1202.80 + 694.434i −1.00132 + 0.578114i −0.908639 0.417582i \(-0.862878\pi\)
−0.0926834 + 0.995696i \(0.529544\pi\)
\(114\) 238.365 + 362.884i 0.195832 + 0.298133i
\(115\) 557.291i 0.451893i
\(116\) −4017.59 + 2319.56i −3.21572 + 1.85660i
\(117\) 49.4195 + 427.199i 0.0390499 + 0.337561i
\(118\) 652.100i 0.508734i
\(119\) 271.651 605.972i 0.209262 0.466801i
\(120\) 3178.47 2087.82i 2.41794 1.58825i
\(121\) −2715.27 −2.04002
\(122\) 1348.45 2335.59i 1.00068 1.73323i
\(123\) 394.599 784.552i 0.289267 0.575128i
\(124\) −2277.89 + 1315.14i −1.64968 + 0.952443i
\(125\) 1231.90 0.881476
\(126\) −1932.73 + 1768.08i −1.36651 + 1.25010i
\(127\) −404.036 −0.282302 −0.141151 0.989988i \(-0.545080\pi\)
−0.141151 + 0.989988i \(0.545080\pi\)
\(128\) 150.232 86.7367i 0.103741 0.0598946i
\(129\) −393.107 + 22.6622i −0.268303 + 0.0154674i
\(130\) 509.436 882.369i 0.343696 0.595299i
\(131\) 2734.20 1.82357 0.911786 0.410666i \(-0.134704\pi\)
0.911786 + 0.410666i \(0.134704\pi\)
\(132\) −369.826 6415.13i −0.243858 4.23004i
\(133\) 30.1289 + 293.869i 0.0196429 + 0.191592i
\(134\) 1759.75i 1.13447i
\(135\) 1687.72 294.498i 1.07597 0.187751i
\(136\) −1861.06 + 1074.48i −1.17342 + 0.677473i
\(137\) 857.985i 0.535056i 0.963550 + 0.267528i \(0.0862068\pi\)
−0.963550 + 0.267528i \(0.913793\pi\)
\(138\) −558.162 + 1109.75i −0.344304 + 0.684554i
\(139\) 2002.26 1156.01i 1.22180 0.705404i 0.256496 0.966545i \(-0.417432\pi\)
0.965301 + 0.261141i \(0.0840987\pi\)
\(140\) 4373.81 448.424i 2.64039 0.270705i
\(141\) −16.1932 + 32.1957i −0.00967171 + 0.0192295i
\(142\) 1876.48 + 3250.16i 1.10895 + 1.92076i
\(143\) −506.583 877.428i −0.296242 0.513107i
\(144\) 4249.05 491.541i 2.45894 0.284457i
\(145\) 2523.57 + 1456.98i 1.44532 + 0.834455i
\(146\) −2193.98 + 3800.08i −1.24366 + 2.15409i
\(147\) −1721.49 + 461.498i −0.965894 + 0.258937i
\(148\) −351.425 608.685i −0.195182 0.338065i
\(149\) 1902.25i 1.04590i −0.852365 0.522948i \(-0.824832\pi\)
0.852365 0.522948i \(-0.175168\pi\)
\(150\) −586.507 294.990i −0.319254 0.160572i
\(151\) −1537.96 −0.828856 −0.414428 0.910082i \(-0.636018\pi\)
−0.414428 + 0.910082i \(0.636018\pi\)
\(152\) 477.977 827.881i 0.255060 0.441776i
\(153\) −961.717 + 111.254i −0.508171 + 0.0587866i
\(154\) 2524.46 5631.30i 1.32095 2.94664i
\(155\) 1430.81 + 826.079i 0.741455 + 0.428079i
\(156\) 1344.81 883.356i 0.690199 0.453366i
\(157\) −2520.20 1455.04i −1.28111 0.739647i −0.304055 0.952654i \(-0.598341\pi\)
−0.977051 + 0.213007i \(0.931674\pi\)
\(158\) −1859.34 1073.49i −0.936211 0.540522i
\(159\) −178.456 89.7566i −0.0890095 0.0447683i
\(160\) −3705.84 2139.57i −1.83108 1.05717i
\(161\) −685.051 + 495.053i −0.335339 + 0.242333i
\(162\) 3655.76 + 1103.91i 1.77299 + 0.535378i
\(163\) −1133.65 + 1963.54i −0.544751 + 0.943536i 0.453872 + 0.891067i \(0.350042\pi\)
−0.998623 + 0.0524693i \(0.983291\pi\)
\(164\) −3285.69 −1.56445
\(165\) −3373.54 + 2215.95i −1.59169 + 1.04552i
\(166\) 1421.43i 0.664604i
\(167\) 671.601 + 1163.25i 0.311198 + 0.539011i 0.978622 0.205667i \(-0.0659364\pi\)
−0.667424 + 0.744678i \(0.732603\pi\)
\(168\) 5389.95 + 2052.49i 2.47526 + 0.942578i
\(169\) −971.654 + 1682.95i −0.442264 + 0.766024i
\(170\) 1986.40 + 1146.85i 0.896177 + 0.517408i
\(171\) 345.752 256.767i 0.154622 0.114827i
\(172\) 736.607 + 1275.84i 0.326545 + 0.565593i
\(173\) 471.258 + 816.242i 0.207104 + 0.358715i 0.950801 0.309802i \(-0.100263\pi\)
−0.743697 + 0.668517i \(0.766929\pi\)
\(174\) 3566.01 + 5428.86i 1.55367 + 2.36529i
\(175\) −261.637 362.052i −0.113016 0.156392i
\(176\) −8727.16 + 5038.63i −3.73770 + 2.15796i
\(177\) −645.767 + 37.2279i −0.274231 + 0.0158091i
\(178\) 7516.99i 3.16530i
\(179\) −62.9841 + 36.3639i −0.0262997 + 0.0151842i −0.513092 0.858333i \(-0.671500\pi\)
0.486792 + 0.873518i \(0.338167\pi\)
\(180\) −3821.60 5146.01i −1.58247 2.13090i
\(181\) 1860.29i 0.763944i −0.924174 0.381972i \(-0.875245\pi\)
0.924174 0.381972i \(-0.124755\pi\)
\(182\) 1537.20 157.601i 0.626069 0.0641876i
\(183\) −2389.89 1202.02i −0.965386 0.485551i
\(184\) 2735.11 1.09584
\(185\) −220.741 + 382.334i −0.0877253 + 0.151945i
\(186\) 2021.85 + 3078.05i 0.797039 + 1.21340i
\(187\) 1975.28 1140.43i 0.772442 0.445970i
\(188\) 134.835 0.0523077
\(189\) 1861.24 + 1813.02i 0.716326 + 0.697766i
\(190\) −1020.34 −0.389595
\(191\) 3.53484 2.04084i 0.00133912 0.000773141i −0.499330 0.866412i \(-0.666421\pi\)
0.500669 + 0.865639i \(0.333087\pi\)
\(192\) −1621.14 2468.01i −0.609354 0.927674i
\(193\) 2201.44 3813.01i 0.821053 1.42210i −0.0838467 0.996479i \(-0.526721\pi\)
0.904899 0.425626i \(-0.139946\pi\)
\(194\) −2620.01 −0.969619
\(195\) −902.884 454.115i −0.331574 0.166769i
\(196\) 4436.57 + 4978.17i 1.61683 + 1.81420i
\(197\) 389.909i 0.141014i 0.997511 + 0.0705072i \(0.0224618\pi\)
−0.997511 + 0.0705072i \(0.977538\pi\)
\(198\) −8937.25 + 1033.88i −3.20779 + 0.371085i
\(199\) 912.641 526.914i 0.325103 0.187698i −0.328562 0.944482i \(-0.606564\pi\)
0.653665 + 0.756784i \(0.273231\pi\)
\(200\) 1445.52i 0.511067i
\(201\) −1742.66 + 100.463i −0.611531 + 0.0352542i
\(202\) −8334.20 + 4811.75i −2.90293 + 1.67601i
\(203\) 450.738 + 4396.38i 0.155840 + 1.52002i
\(204\) 1988.62 + 3027.46i 0.682507 + 1.03904i
\(205\) 1031.92 + 1787.34i 0.351574 + 0.608943i
\(206\) 1761.95 + 3051.78i 0.595925 + 1.03217i
\(207\) 1130.84 + 489.387i 0.379705 + 0.164322i
\(208\) −2185.24 1261.65i −0.728457 0.420575i
\(209\) −507.312 + 878.689i −0.167902 + 0.290814i
\(210\) −979.255 6077.56i −0.321786 1.99710i
\(211\) −561.416 972.401i −0.183173 0.317265i 0.759786 0.650173i \(-0.225303\pi\)
−0.942959 + 0.332908i \(0.891970\pi\)
\(212\) 747.372i 0.242121i
\(213\) 3111.47 2043.81i 1.00091 0.657463i
\(214\) −5067.40 −1.61869
\(215\) 462.686 801.395i 0.146767 0.254208i
\(216\) −1445.36 8283.09i −0.455298 2.60923i
\(217\) 255.558 + 2492.65i 0.0799467 + 0.779779i
\(218\) 6803.09 + 3927.77i 2.11359 + 1.22028i
\(219\) 3888.43 + 1955.73i 1.19980 + 0.603452i
\(220\) 13078.0 + 7550.59i 4.00781 + 2.31391i
\(221\) 494.601 + 285.558i 0.150545 + 0.0869172i
\(222\) −822.500 + 540.269i −0.248660 + 0.163336i
\(223\) −3850.81 2223.27i −1.15637 0.667628i −0.205935 0.978566i \(-0.566024\pi\)
−0.950430 + 0.310937i \(0.899357\pi\)
\(224\) −661.904 6456.04i −0.197435 1.92572i
\(225\) −258.642 + 597.653i −0.0766348 + 0.177082i
\(226\) 3637.73 6300.73i 1.07070 1.85451i
\(227\) −47.2354 −0.0138111 −0.00690556 0.999976i \(-0.502198\pi\)
−0.00690556 + 0.999976i \(0.502198\pi\)
\(228\) −1439.48 724.002i −0.418122 0.210299i
\(229\) 3303.18i 0.953188i −0.879124 0.476594i \(-0.841871\pi\)
0.879124 0.476594i \(-0.158129\pi\)
\(230\) −1459.66 2528.20i −0.418465 0.724803i
\(231\) −5720.74 2178.45i −1.62942 0.620484i
\(232\) 7150.70 12385.4i 2.02356 3.50491i
\(233\) −4018.91 2320.32i −1.12999 0.652400i −0.186057 0.982539i \(-0.559571\pi\)
−0.943932 + 0.330139i \(0.892904\pi\)
\(234\) −1343.12 1808.59i −0.375224 0.505262i
\(235\) −42.3470 73.3472i −0.0117550 0.0203602i
\(236\) 1210.04 + 2095.86i 0.333759 + 0.578088i
\(237\) −956.919 + 1902.57i −0.262273 + 0.521457i
\(238\) 354.793 + 3460.56i 0.0966295 + 0.942498i
\(239\) 3801.25 2194.65i 1.02880 0.593976i 0.112157 0.993691i \(-0.464224\pi\)
0.916640 + 0.399715i \(0.130891\pi\)
\(240\) −4516.76 + 8980.35i −1.21482 + 2.41533i
\(241\) 1111.32i 0.297040i 0.988909 + 0.148520i \(0.0474509\pi\)
−0.988909 + 0.148520i \(0.952549\pi\)
\(242\) 12318.1 7111.84i 3.27205 1.88912i
\(243\) 884.484 3683.29i 0.233497 0.972358i
\(244\) 10008.8i 2.62602i
\(245\) 1314.64 3976.86i 0.342813 1.03703i
\(246\) 264.767 + 4592.73i 0.0686216 + 1.19033i
\(247\) −254.057 −0.0654464
\(248\) 4054.29 7022.23i 1.03810 1.79803i
\(249\) 1407.63 81.1483i 0.358252 0.0206529i
\(250\) −5588.63 + 3226.60i −1.41382 + 0.816271i
\(251\) −1262.49 −0.317480 −0.158740 0.987320i \(-0.550743\pi\)
−0.158740 + 0.987320i \(0.550743\pi\)
\(252\) 2930.94 9269.01i 0.732667 2.31704i
\(253\) −2902.97 −0.721376
\(254\) 1832.95 1058.25i 0.452792 0.261420i
\(255\) 1022.31 2032.58i 0.251057 0.499158i
\(256\) 1818.72 3150.12i 0.444025 0.769073i
\(257\) −5341.95 −1.29658 −0.648291 0.761392i \(-0.724516\pi\)
−0.648291 + 0.761392i \(0.724516\pi\)
\(258\) 1724.01 1132.44i 0.416016 0.273265i
\(259\) −666.073 + 68.2891i −0.159798 + 0.0163833i
\(260\) 3781.26i 0.901939i
\(261\) 5172.56 3841.31i 1.22672 0.911001i
\(262\) −12403.9 + 7161.42i −2.92488 + 1.68868i
\(263\) 1039.28i 0.243669i −0.992550 0.121835i \(-0.961122\pi\)
0.992550 0.121835i \(-0.0388777\pi\)
\(264\) 10875.6 + 16556.9i 2.53540 + 3.85987i
\(265\) 406.554 234.724i 0.0942430 0.0544112i
\(266\) −906.385 1254.25i −0.208925 0.289109i
\(267\) −7444.00 + 429.140i −1.70624 + 0.0983630i
\(268\) 3265.41 + 5655.86i 0.744279 + 1.28913i
\(269\) −2118.62 3669.55i −0.480202 0.831735i 0.519540 0.854446i \(-0.326103\pi\)
−0.999742 + 0.0227115i \(0.992770\pi\)
\(270\) −6885.13 + 5756.49i −1.55191 + 1.29751i
\(271\) 5981.42 + 3453.38i 1.34076 + 0.774087i 0.986919 0.161219i \(-0.0515425\pi\)
0.353840 + 0.935306i \(0.384876\pi\)
\(272\) 2840.24 4919.44i 0.633143 1.09664i
\(273\) −243.828 1513.27i −0.0540554 0.335485i
\(274\) −2247.24 3892.33i −0.495477 0.858191i
\(275\) 1534.23i 0.336427i
\(276\) −265.330 4602.50i −0.0578658 1.00376i
\(277\) −2452.47 −0.531966 −0.265983 0.963978i \(-0.585696\pi\)
−0.265983 + 0.963978i \(0.585696\pi\)
\(278\) −6055.63 + 10488.7i −1.30645 + 2.26284i
\(279\) 2932.73 2177.94i 0.629312 0.467347i
\(280\) −10985.9 + 7938.95i −2.34475 + 1.69444i
\(281\) −7204.13 4159.31i −1.52940 0.883002i −0.999387 0.0350152i \(-0.988852\pi\)
−0.530017 0.847987i \(-0.677815\pi\)
\(282\) −10.8652 188.472i −0.00229438 0.0397991i
\(283\) 5933.84 + 3425.91i 1.24640 + 0.719608i 0.970389 0.241548i \(-0.0776550\pi\)
0.276008 + 0.961155i \(0.410988\pi\)
\(284\) −12062.1 6964.05i −2.52026 1.45507i
\(285\) 58.2502 + 1010.43i 0.0121068 + 0.210009i
\(286\) 4596.33 + 2653.69i 0.950302 + 0.548657i
\(287\) −1280.42 + 2856.23i −0.263347 + 0.587448i
\(288\) −7595.86 + 5640.94i −1.55413 + 1.15415i
\(289\) 1813.65 3141.33i 0.369153 0.639392i
\(290\) −15264.6 −3.09092
\(291\) 149.575 + 2594.57i 0.0301313 + 0.522668i
\(292\) 16284.7i 3.26366i
\(293\) −388.740 673.317i −0.0775100 0.134251i 0.824665 0.565621i \(-0.191364\pi\)
−0.902175 + 0.431370i \(0.858030\pi\)
\(294\) 6600.96 6602.57i 1.30944 1.30976i
\(295\) 760.066 1316.47i 0.150009 0.259824i
\(296\) 1876.45 + 1083.37i 0.368467 + 0.212735i
\(297\) 1534.06 + 8791.44i 0.299715 + 1.71761i
\(298\) 4982.38 + 8629.74i 0.968529 + 1.67754i
\(299\) −363.445 629.506i −0.0702962 0.121757i
\(300\) 2432.43 140.227i 0.468122 0.0269868i
\(301\) 1396.13 143.138i 0.267347 0.0274098i
\(302\) 6977.09 4028.23i 1.32943 0.767544i
\(303\) 5240.82 + 7978.57i 0.993655 + 1.51273i
\(304\) 2526.92i 0.476740i
\(305\) 5444.57 3143.42i 1.02215 0.590137i
\(306\) 4071.52 3023.65i 0.760632 0.564871i
\(307\) 5502.32i 1.02291i −0.859309 0.511456i \(-0.829106\pi\)
0.859309 0.511456i \(-0.170894\pi\)
\(308\) 2335.88 + 22783.5i 0.432139 + 4.21497i
\(309\) 2921.56 1919.06i 0.537869 0.353306i
\(310\) −8654.67 −1.58565
\(311\) −1073.75 + 1859.79i −0.195777 + 0.339096i −0.947155 0.320776i \(-0.896056\pi\)
0.751378 + 0.659872i \(0.229390\pi\)
\(312\) −2228.74 + 4431.24i −0.404415 + 0.804069i
\(313\) 1705.95 984.930i 0.308070 0.177864i −0.337992 0.941149i \(-0.609748\pi\)
0.646063 + 0.763284i \(0.276414\pi\)
\(314\) 15244.1 2.73974
\(315\) −5962.64 + 1316.71i −1.06653 + 0.235518i
\(316\) 7967.94 1.41846
\(317\) 1256.62 725.513i 0.222647 0.128545i −0.384528 0.923113i \(-0.625636\pi\)
0.607175 + 0.794568i \(0.292303\pi\)
\(318\) 1044.67 60.2245i 0.184222 0.0106202i
\(319\) −7589.54 + 13145.5i −1.33208 + 2.30723i
\(320\) 6939.41 1.21227
\(321\) 289.294 + 5018.19i 0.0503016 + 0.872549i
\(322\) 1811.16 4040.14i 0.313453 0.699218i
\(323\) 571.936i 0.0985244i
\(324\) −13798.1 + 3235.70i −2.36593 + 0.554819i
\(325\) 332.695 192.082i 0.0567835 0.0327839i
\(326\) 11877.1i 2.01782i
\(327\) 3501.24 6961.26i 0.592107 1.17724i
\(328\) 8772.05 5064.54i 1.47669 0.852569i
\(329\) 52.5445 117.211i 0.00880508 0.0196415i
\(330\) 9500.34 18888.8i 1.58478 3.15090i
\(331\) 594.425 + 1029.57i 0.0987086 + 0.170968i 0.911150 0.412074i \(-0.135195\pi\)
−0.812442 + 0.583042i \(0.801862\pi\)
\(332\) −2637.62 4568.50i −0.436019 0.755207i
\(333\) 581.979 + 783.670i 0.0957725 + 0.128963i
\(334\) −6093.56 3518.12i −0.998279 0.576356i
\(335\) 2051.11 3552.62i 0.334519 0.579404i
\(336\) −15051.4 + 2425.18i −2.44382 + 0.393764i
\(337\) 3178.71 + 5505.69i 0.513814 + 0.889952i 0.999872 + 0.0160253i \(0.00510122\pi\)
−0.486058 + 0.873927i \(0.661565\pi\)
\(338\) 10179.8i 1.63820i
\(339\) −6447.22 3242.70i −1.03294 0.519526i
\(340\) −8512.43 −1.35780
\(341\) −4303.11 + 7453.20i −0.683361 + 1.18362i
\(342\) −896.012 + 2070.44i −0.141669 + 0.327359i
\(343\) 6056.39 1916.71i 0.953394 0.301727i
\(344\) −3933.15 2270.80i −0.616456 0.355911i
\(345\) −2420.32 + 1589.82i −0.377698 + 0.248095i
\(346\) −4275.81 2468.64i −0.664361 0.383569i
\(347\) 9636.20 + 5563.46i 1.49077 + 0.860698i 0.999944 0.0105578i \(-0.00336073\pi\)
0.490829 + 0.871256i \(0.336694\pi\)
\(348\) −21535.1 10831.3i −3.31725 1.66844i
\(349\) −2318.23 1338.43i −0.355564 0.205285i 0.311569 0.950224i \(-0.399145\pi\)
−0.667133 + 0.744938i \(0.732479\pi\)
\(350\) 2135.23 + 957.201i 0.326093 + 0.146184i
\(351\) −1714.35 + 1433.33i −0.260699 + 0.217964i
\(352\) 11145.2 19304.0i 1.68761 2.92303i
\(353\) 7528.80 1.13518 0.567589 0.823312i \(-0.307876\pi\)
0.567589 + 0.823312i \(0.307876\pi\)
\(354\) 2832.08 1860.28i 0.425207 0.279302i
\(355\) 8748.67i 1.30797i
\(356\) 13948.6 + 24159.7i 2.07662 + 3.59681i
\(357\) 3406.70 548.909i 0.505046 0.0813762i
\(358\) 190.489 329.936i 0.0281219 0.0487086i
\(359\) −9009.61 5201.70i −1.32454 0.764722i −0.340089 0.940393i \(-0.610457\pi\)
−0.984449 + 0.175671i \(0.943791\pi\)
\(360\) 18134.8 + 7848.09i 2.65497 + 1.14897i
\(361\) −3302.29 5719.73i −0.481453 0.833902i
\(362\) 4872.47 + 8439.36i 0.707434 + 1.22531i
\(363\) −7746.01 11792.4i −1.12000 1.70508i
\(364\) −4648.13 + 3358.97i −0.669308 + 0.483676i
\(365\) −8858.51 + 5114.46i −1.27034 + 0.733433i
\(366\) 13990.3 806.527i 1.99804 0.115185i
\(367\) 12167.3i 1.73060i 0.501256 + 0.865299i \(0.332872\pi\)
−0.501256 + 0.865299i \(0.667128\pi\)
\(368\) −6261.25 + 3614.93i −0.886930 + 0.512069i
\(369\) 4533.02 524.391i 0.639511 0.0739803i
\(370\) 2312.66i 0.324944i
\(371\) 649.684 + 291.247i 0.0909163 + 0.0407568i
\(372\) −12209.9 6141.11i −1.70176 0.855919i
\(373\) −2216.79 −0.307724 −0.153862 0.988092i \(-0.549171\pi\)
−0.153862 + 0.988092i \(0.549171\pi\)
\(374\) −5974.02 + 10347.3i −0.825961 + 1.43061i
\(375\) 3514.31 + 5350.16i 0.483942 + 0.736749i
\(376\) −359.979 + 207.834i −0.0493736 + 0.0285059i
\(377\) −3800.77 −0.519230
\(378\) −13192.4 3349.95i −1.79509 0.455828i
\(379\) −2955.89 −0.400617 −0.200308 0.979733i \(-0.564194\pi\)
−0.200308 + 0.979733i \(0.564194\pi\)
\(380\) 3279.38 1893.35i 0.442707 0.255597i
\(381\) −1152.62 1754.73i −0.154988 0.235952i
\(382\) −10.6907 + 18.5169i −0.00143190 + 0.00248013i
\(383\) −7449.29 −0.993840 −0.496920 0.867796i \(-0.665536\pi\)
−0.496920 + 0.867796i \(0.665536\pi\)
\(384\) 805.276 + 405.022i 0.107016 + 0.0538247i
\(385\) 11660.1 8426.17i 1.54351 1.11542i
\(386\) 23064.1i 3.04127i
\(387\) −1219.86 1642.62i −0.160230 0.215760i
\(388\) 8420.76 4861.73i 1.10180 0.636126i
\(389\) 6028.72i 0.785779i 0.919586 + 0.392890i \(0.128525\pi\)
−0.919586 + 0.392890i \(0.871475\pi\)
\(390\) 5285.44 304.701i 0.686253 0.0395618i
\(391\) 1417.15 818.193i 0.183295 0.105826i
\(392\) −19517.9 6452.08i −2.51481 0.831324i
\(393\) 7800.01 + 11874.7i 1.00117 + 1.52417i
\(394\) −1021.25 1768.86i −0.130583 0.226177i
\(395\) −2502.46 4334.38i −0.318765 0.552117i
\(396\) 26806.0 19907.0i 3.40164 2.52617i
\(397\) 12778.7 + 7377.79i 1.61548 + 0.932696i 0.988070 + 0.154005i \(0.0492172\pi\)
0.627407 + 0.778691i \(0.284116\pi\)
\(398\) −2760.19 + 4780.79i −0.347628 + 0.602109i
\(399\) −1190.33 + 969.188i −0.149351 + 0.121604i
\(400\) −1910.50 3309.09i −0.238813 0.413636i
\(401\) 3802.58i 0.473546i 0.971565 + 0.236773i \(0.0760898\pi\)
−0.971565 + 0.236773i \(0.923910\pi\)
\(402\) 7642.61 5020.14i 0.948206 0.622841i
\(403\) −2154.96 −0.266367
\(404\) 17857.5 30930.1i 2.19912 3.80899i
\(405\) 6093.66 + 6489.64i 0.747645 + 0.796229i
\(406\) −13559.8 18764.0i −1.65754 2.29370i
\(407\) −1991.61 1149.85i −0.242556 0.140040i
\(408\) −9975.67 5017.37i −1.21046 0.608816i
\(409\) −3772.89 2178.28i −0.456130 0.263347i 0.254285 0.967129i \(-0.418160\pi\)
−0.710416 + 0.703782i \(0.751493\pi\)
\(410\) −9362.83 5405.63i −1.12780 0.651134i
\(411\) −3726.24 + 2447.63i −0.447207 + 0.293753i
\(412\) −11325.8 6538.98i −1.35433 0.781923i
\(413\) 2293.46 235.137i 0.273254 0.0280153i
\(414\) −6411.97 + 741.753i −0.761187 + 0.0880560i
\(415\) −1656.77 + 2869.61i −0.195970 + 0.339431i
\(416\) 5581.40 0.657814
\(417\) 10732.5 + 5398.04i 1.26037 + 0.633917i
\(418\) 5315.01i 0.621927i
\(419\) −4875.07 8443.88i −0.568408 0.984512i −0.996724 0.0808824i \(-0.974226\pi\)
0.428316 0.903629i \(-0.359107\pi\)
\(420\) 14424.9 + 17716.3i 1.67587 + 2.05825i
\(421\) 4245.69 7353.75i 0.491502 0.851306i −0.508450 0.861091i \(-0.669781\pi\)
0.999952 + 0.00978535i \(0.00311482\pi\)
\(422\) 5093.83 + 2940.93i 0.587592 + 0.339246i
\(423\) −186.021 + 21.5194i −0.0213822 + 0.00247355i
\(424\) −1151.99 1995.31i −0.131948 0.228540i
\(425\) 432.417 + 748.969i 0.0493537 + 0.0854831i
\(426\) −8762.34 + 17421.5i −0.996565 + 1.98140i
\(427\) 8700.58 + 3900.38i 0.986067 + 0.442044i
\(428\) 16286.7 9403.14i 1.83936 1.06196i
\(429\) 2365.52 4703.19i 0.266220 0.529306i
\(430\) 4847.47i 0.543642i
\(431\) 3582.61 2068.42i 0.400390 0.231166i −0.286262 0.958151i \(-0.592413\pi\)
0.686652 + 0.726986i \(0.259079\pi\)
\(432\) 14256.3 + 17051.4i 1.58775 + 1.89905i
\(433\) 1005.45i 0.111591i 0.998442 + 0.0557953i \(0.0177694\pi\)
−0.998442 + 0.0557953i \(0.982231\pi\)
\(434\) −7688.12 10638.8i −0.850326 1.17668i
\(435\) 871.442 + 15116.3i 0.0960516 + 1.66614i
\(436\) −29153.6 −3.20231
\(437\) −363.968 + 630.410i −0.0398419 + 0.0690083i
\(438\) −22762.7 + 1312.25i −2.48321 + 0.143154i
\(439\) −7127.88 + 4115.28i −0.774932 + 0.447407i −0.834631 0.550809i \(-0.814319\pi\)
0.0596993 + 0.998216i \(0.480986\pi\)
\(440\) −46553.7 −5.04400
\(441\) −6915.30 6159.93i −0.746712 0.665147i
\(442\) −2991.74 −0.321951
\(443\) −1172.25 + 676.800i −0.125723 + 0.0725863i −0.561543 0.827448i \(-0.689792\pi\)
0.435820 + 0.900034i \(0.356459\pi\)
\(444\) 1641.00 3262.68i 0.175402 0.348738i
\(445\) 8761.57 15175.5i 0.933344 1.61660i
\(446\) 23292.8 2.47297
\(447\) 8261.50 5426.67i 0.874174 0.574212i
\(448\) 6164.42 + 8530.29i 0.650093 + 0.899594i
\(449\) 11342.5i 1.19217i −0.802922 0.596084i \(-0.796722\pi\)
0.802922 0.596084i \(-0.203278\pi\)
\(450\) −392.019 3388.75i −0.0410665 0.354993i
\(451\) −9310.40 + 5375.36i −0.972084 + 0.561233i
\(452\) 27000.9i 2.80977i
\(453\) −4387.43 6679.37i −0.455054 0.692769i
\(454\) 214.288 123.719i 0.0221520 0.0127895i
\(455\) 3287.02 + 1473.54i 0.338677 + 0.151825i
\(456\) 4959.05 285.885i 0.509274 0.0293592i
\(457\) 3633.76 + 6293.85i 0.371948 + 0.644232i 0.989865 0.142011i \(-0.0453568\pi\)
−0.617918 + 0.786243i \(0.712023\pi\)
\(458\) 8651.69 + 14985.2i 0.882679 + 1.52884i
\(459\) −3226.73 3859.37i −0.328128 0.392462i
\(460\) 9382.73 + 5417.12i 0.951027 + 0.549075i
\(461\) 6216.19 10766.8i 0.628019 1.08776i −0.359930 0.932979i \(-0.617199\pi\)
0.987949 0.154782i \(-0.0494674\pi\)
\(462\) 31658.5 5101.01i 3.18806 0.513681i
\(463\) 1444.49 + 2501.94i 0.144992 + 0.251134i 0.929370 0.369150i \(-0.120351\pi\)
−0.784378 + 0.620283i \(0.787018\pi\)
\(464\) 37803.6i 3.78230i
\(465\) 494.089 + 8570.63i 0.0492749 + 0.854739i
\(466\) 24309.6 2.41656
\(467\) 1313.23 2274.59i 0.130127 0.225386i −0.793598 0.608442i \(-0.791795\pi\)
0.923725 + 0.383055i \(0.125128\pi\)
\(468\) 7672.85 + 3320.53i 0.757858 + 0.327973i
\(469\) 6189.11 634.537i 0.609353 0.0624738i
\(470\) 384.222 + 221.831i 0.0377082 + 0.0217708i
\(471\) −870.277 15096.1i −0.0851385 1.47684i
\(472\) −6461.08 3730.31i −0.630075 0.363774i
\(473\) 4174.53 + 2410.17i 0.405803 + 0.234291i
\(474\) −642.070 11137.6i −0.0622178 1.07925i
\(475\) −333.174 192.358i −0.0321833 0.0185810i
\(476\) −7561.77 10463.9i −0.728136 1.00759i
\(477\) −119.279 1031.09i −0.0114495 0.0989737i
\(478\) −11496.5 + 19912.5i −1.10008 + 1.90539i
\(479\) 761.663 0.0726540 0.0363270 0.999340i \(-0.488434\pi\)
0.0363270 + 0.999340i \(0.488434\pi\)
\(480\) −1279.71 22198.2i −0.121688 2.11084i
\(481\) 575.837i 0.0545860i
\(482\) −2910.78 5041.62i −0.275068 0.476431i
\(483\) −4104.31 1562.92i −0.386651 0.147237i
\(484\) −26393.7 + 45715.2i −2.47874 + 4.29331i
\(485\) −5289.34 3053.80i −0.495210 0.285909i
\(486\) 5634.73 + 19026.2i 0.525919 + 1.77582i
\(487\) −8677.57 15030.0i −0.807430 1.39851i −0.914639 0.404273i \(-0.867525\pi\)
0.107209 0.994237i \(-0.465809\pi\)
\(488\) −15427.5 26721.2i −1.43109 2.47872i
\(489\) −11761.7 + 678.052i −1.08770 + 0.0627046i
\(490\) 4452.24 + 21484.7i 0.410472 + 1.98078i
\(491\) 17290.8 9982.86i 1.58925 0.917557i 0.595825 0.803114i \(-0.296825\pi\)
0.993430 0.114442i \(-0.0365081\pi\)
\(492\) −9373.30 14269.8i −0.858904 1.30759i
\(493\) 8556.35i 0.781661i
\(494\) 1152.55 665.427i 0.104971 0.0606052i
\(495\) −19247.8 8329.74i −1.74772 0.756351i
\(496\) 21433.8i 1.94034i
\(497\) −10754.3 + 7771.62i −0.970618 + 0.701418i
\(498\) −6173.29 + 4055.00i −0.555485 + 0.364877i
\(499\) −1541.61 −0.138300 −0.0691500 0.997606i \(-0.522029\pi\)
−0.0691500 + 0.997606i \(0.522029\pi\)
\(500\) 11974.6 20740.7i 1.07104 1.85510i
\(501\) −3136.08 + 6235.24i −0.279660 + 0.556028i
\(502\) 5727.40 3306.71i 0.509216 0.293996i
\(503\) −578.894 −0.0513153 −0.0256577 0.999671i \(-0.508168\pi\)
−0.0256577 + 0.999671i \(0.508168\pi\)
\(504\) 6462.24 + 29263.9i 0.571133 + 2.58634i
\(505\) −22433.7 −1.97681
\(506\) 13169.6 7603.47i 1.15704 0.668015i
\(507\) −10081.0 + 581.159i −0.883062 + 0.0509077i
\(508\) −3927.41 + 6802.47i −0.343013 + 0.594116i
\(509\) −9161.99 −0.797835 −0.398918 0.916987i \(-0.630614\pi\)
−0.398918 + 0.916987i \(0.630614\pi\)
\(510\) 685.946 + 11898.7i 0.0595573 + 1.03310i
\(511\) −14156.2 6346.06i −1.22550 0.549380i
\(512\) 20442.2i 1.76451i
\(513\) 2101.49 + 769.111i 0.180864 + 0.0661932i
\(514\) 24234.3 13991.7i 2.07963 1.20067i
\(515\) 8214.66i 0.702876i
\(516\) −3439.63 + 6838.76i −0.293452 + 0.583449i
\(517\) 382.071 220.589i 0.0325019 0.0187650i
\(518\) 2842.84 2054.38i 0.241134 0.174255i
\(519\) −2200.57 + 4375.22i −0.186116 + 0.370040i
\(520\) −5828.41 10095.1i −0.491525 0.851346i
\(521\) 6093.28 + 10553.9i 0.512382 + 0.887473i 0.999897 + 0.0143576i \(0.00457032\pi\)
−0.487514 + 0.873115i \(0.662096\pi\)
\(522\) −13404.6 + 30974.5i −1.12396 + 2.59716i
\(523\) −8988.68 5189.62i −0.751525 0.433893i 0.0747195 0.997205i \(-0.476194\pi\)
−0.826245 + 0.563311i \(0.809527\pi\)
\(524\) 26577.6 46033.8i 2.21574 3.83778i
\(525\) 826.007 2169.14i 0.0686665 0.180322i
\(526\) 2722.10 + 4714.81i 0.225644 + 0.390828i
\(527\) 4851.26i 0.400995i
\(528\) −46779.3 23528.2i −3.85570 1.93927i
\(529\) 10084.3 0.828822
\(530\) −1229.58 + 2129.69i −0.100773 + 0.174543i
\(531\) −2003.90 2698.37i −0.163770 0.220526i
\(532\) 5240.54 + 2349.28i 0.427079 + 0.191455i
\(533\) −2331.28 1345.97i −0.189454 0.109381i
\(534\) 32646.4 21444.2i 2.64560 1.73779i
\(535\) −10230.2 5906.40i −0.826709 0.477301i
\(536\) −17435.8 10066.6i −1.40506 0.811212i
\(537\) −337.607 169.803i −0.0271300 0.0136453i
\(538\) 19222.6 + 11098.2i 1.54042 + 0.889362i
\(539\) 20715.8 + 6848.05i 1.65546 + 0.547248i
\(540\) 11447.1 31277.6i 0.912230 2.49254i
\(541\) 2598.10 4500.05i 0.206472 0.357619i −0.744129 0.668036i \(-0.767135\pi\)
0.950601 + 0.310417i \(0.100469\pi\)
\(542\) −36180.4 −2.86731
\(543\) 8079.24 5306.95i 0.638515 0.419416i
\(544\) 12564.9i 0.990288i
\(545\) 9156.15 + 15858.9i 0.719645 + 1.24646i
\(546\) 5069.72 + 6226.47i 0.397370 + 0.488037i
\(547\) 10154.0 17587.3i 0.793703 1.37473i −0.129957 0.991520i \(-0.541484\pi\)
0.923660 0.383214i \(-0.125183\pi\)
\(548\) 14445.3 + 8340.01i 1.12605 + 0.650123i
\(549\) −1597.39 13808.4i −0.124180 1.07346i
\(550\) 4018.46 + 6960.17i 0.311541 + 0.539605i
\(551\) 1903.12 + 3296.30i 0.147143 + 0.254858i
\(552\) 7802.62 + 11878.6i 0.601633 + 0.915920i
\(553\) 3105.06 6926.47i 0.238772 0.532628i
\(554\) 11125.8 6423.51i 0.853235 0.492615i
\(555\) −2290.20 + 132.028i −0.175160 + 0.0100978i
\(556\) 44947.7i 3.42843i
\(557\) −8891.43 + 5133.47i −0.676377 + 0.390507i −0.798489 0.602010i \(-0.794367\pi\)
0.122111 + 0.992516i \(0.461033\pi\)
\(558\) −7600.13 + 17561.9i −0.576594 + 1.33235i
\(559\) 1206.99i 0.0913241i
\(560\) 14656.2 32693.7i 1.10596 2.46707i
\(561\) 10587.9 + 5325.29i 0.796829 + 0.400774i
\(562\) 43576.3 3.27074
\(563\) 4175.18 7231.63i 0.312545 0.541344i −0.666367 0.745624i \(-0.732152\pi\)
0.978913 + 0.204279i \(0.0654851\pi\)
\(564\) 384.652 + 585.590i 0.0287177 + 0.0437195i
\(565\) 14687.9 8480.04i 1.09367 0.631430i
\(566\) −35892.6 −2.66551
\(567\) −2564.28 + 13255.5i −0.189929 + 0.981798i
\(568\) 42937.3 3.17185
\(569\) −2740.97 + 1582.50i −0.201946 + 0.116594i −0.597563 0.801822i \(-0.703864\pi\)
0.395617 + 0.918416i \(0.370531\pi\)
\(570\) −2910.78 4431.33i −0.213893 0.325628i
\(571\) 1478.65 2561.10i 0.108371 0.187703i −0.806740 0.590907i \(-0.798770\pi\)
0.915110 + 0.403204i \(0.132103\pi\)
\(572\) −19696.9 −1.43980
\(573\) 18.9474 + 9.52982i 0.00138140 + 0.000694788i
\(574\) −1672.30 16311.2i −0.121604 1.18609i
\(575\) 1100.72i 0.0798319i
\(576\) 6093.87 14081.3i 0.440818 1.01861i
\(577\) −21694.0 + 12525.0i −1.56522 + 0.903681i −0.568507 + 0.822678i \(0.692479\pi\)
−0.996714 + 0.0810022i \(0.974188\pi\)
\(578\) 19001.3i 1.36738i
\(579\) 22840.1 1316.71i 1.63938 0.0945089i
\(580\) 49060.5 28325.1i 3.51229 2.02782i
\(581\) −4999.22 + 512.545i −0.356975 + 0.0365989i
\(582\) −7474.27 11378.8i −0.532334 0.810420i
\(583\) 1222.69 + 2117.77i 0.0868590 + 0.150444i
\(584\) 25101.1 + 43476.4i 1.77858 + 3.08059i
\(585\) −603.483 5216.72i −0.0426512 0.368692i
\(586\) 3527.11 + 2036.38i 0.248641 + 0.143553i
\(587\) −6544.89 + 11336.1i −0.460198 + 0.797087i −0.998970 0.0453646i \(-0.985555\pi\)
0.538772 + 0.842452i \(0.318888\pi\)
\(588\) −8963.79 + 33469.6i −0.628674 + 2.34739i
\(589\) 1079.03 + 1868.93i 0.0754847 + 0.130743i
\(590\) 7963.07i 0.555652i
\(591\) −1693.38 + 1112.32i −0.117862 + 0.0774189i
\(592\) −5727.44 −0.397629
\(593\) −3549.51 + 6147.93i −0.245803 + 0.425743i −0.962357 0.271789i \(-0.912385\pi\)
0.716554 + 0.697531i \(0.245718\pi\)
\(594\) −29986.0 35865.2i −2.07128 2.47738i
\(595\) −3317.25 + 7399.79i −0.228561 + 0.509852i
\(596\) −32026.9 18490.8i −2.20113 1.27082i
\(597\) 4891.94 + 2460.45i 0.335366 + 0.168676i
\(598\) 3297.61 + 1903.87i 0.225500 + 0.130193i
\(599\) 14190.2 + 8192.71i 0.967939 + 0.558840i 0.898607 0.438754i \(-0.144580\pi\)
0.0693315 + 0.997594i \(0.477913\pi\)
\(600\) −6277.89 + 4123.71i −0.427156 + 0.280583i
\(601\) −1449.23 836.712i −0.0983615 0.0567890i 0.450012 0.893022i \(-0.351420\pi\)
−0.548374 + 0.836233i \(0.684753\pi\)
\(602\) −5958.77 + 4306.11i −0.403424 + 0.291535i
\(603\) −5407.70 7281.80i −0.365205 0.491771i
\(604\) −14949.7 + 25893.6i −1.00711 + 1.74436i
\(605\) 33157.3 2.22816
\(606\) −44673.0 22468.8i −2.99458 1.50616i
\(607\) 9484.81i 0.634228i 0.948387 + 0.317114i \(0.102714\pi\)
−0.948387 + 0.317114i \(0.897286\pi\)
\(608\) −2794.71 4840.58i −0.186415 0.322881i
\(609\) −17807.7 + 14499.4i −1.18490 + 0.964768i
\(610\) −16466.5 + 28520.9i −1.09297 + 1.89308i
\(611\) 95.6688 + 55.2344i 0.00633444 + 0.00365719i
\(612\) −7475.22 + 17273.2i −0.493739 + 1.14090i
\(613\) 791.346 + 1370.65i 0.0521405 + 0.0903100i 0.890918 0.454165i \(-0.150062\pi\)
−0.838777 + 0.544475i \(0.816729\pi\)
\(614\) 14411.7 + 24961.8i 0.947246 + 1.64068i
\(615\) −4818.62 + 9580.51i −0.315944 + 0.628168i
\(616\) −41354.6 57226.2i −2.70491 3.74304i
\(617\) −19948.8 + 11517.5i −1.30164 + 0.751500i −0.980685 0.195595i \(-0.937336\pi\)
−0.320952 + 0.947095i \(0.604003\pi\)
\(618\) −8227.50 + 16358.1i −0.535532 + 1.06476i
\(619\) 1130.29i 0.0733928i −0.999326 0.0366964i \(-0.988317\pi\)
0.999326 0.0366964i \(-0.0116835\pi\)
\(620\) 27816.3 16059.7i 1.80182 1.04028i
\(621\) 1100.61 + 6307.36i 0.0711204 + 0.407578i
\(622\) 11249.5i 0.725180i
\(623\) 26437.6 2710.51i 1.70016 0.174308i
\(624\) −754.609 13089.7i −0.0484111 0.839756i
\(625\) −18058.2 −1.15572
\(626\) −5159.47 + 8936.46i −0.329415 + 0.570563i
\(627\) −5263.40 + 303.430i −0.335247 + 0.0193267i
\(628\) −48994.9 + 28287.2i −3.11323 + 1.79743i
\(629\) 1296.33 0.0821750
\(630\) 23601.3 21590.7i 1.49254 1.36539i
\(631\) 6214.42 0.392064 0.196032 0.980598i \(-0.437194\pi\)
0.196032 + 0.980598i \(0.437194\pi\)
\(632\) −21272.6 + 12281.7i −1.33889 + 0.773008i
\(633\) 2621.56 5212.26i 0.164610 0.327281i
\(634\) −3800.53 + 6582.71i −0.238073 + 0.412355i
\(635\) 4933.86 0.308337
\(636\) −3245.85 + 2132.07i −0.202368 + 0.132928i
\(637\) 1108.58 + 5349.55i 0.0689535 + 0.332742i
\(638\) 79514.3i 4.93417i
\(639\) 17752.6 + 7682.67i 1.09903 + 0.475621i
\(640\) −1834.55 + 1059.18i −0.113308 + 0.0654184i
\(641\) 16495.0i 1.01640i −0.861239 0.508200i \(-0.830311\pi\)
0.861239 0.508200i \(-0.169689\pi\)
\(642\) −14456.1 22007.8i −0.888686 1.35293i
\(643\) −11470.6 + 6622.54i −0.703507 + 0.406170i −0.808652 0.588287i \(-0.799803\pi\)
0.105145 + 0.994457i \(0.466469\pi\)
\(644\) 1675.86 + 16345.9i 0.102544 + 1.00018i
\(645\) 4800.40 276.739i 0.293047 0.0168939i
\(646\) 1498.02 + 2594.64i 0.0912364 + 0.158026i
\(647\) −5765.87 9986.78i −0.350355 0.606833i 0.635956 0.771725i \(-0.280606\pi\)
−0.986312 + 0.164892i \(0.947272\pi\)
\(648\) 31850.3 29906.9i 1.93086 1.81305i
\(649\) 6857.61 + 3959.24i 0.414768 + 0.239467i
\(650\) −1006.20 + 1742.79i −0.0607177 + 0.105166i
\(651\) −10096.6 + 8220.82i −0.607858 + 0.494930i
\(652\) 22039.2 + 38173.0i 1.32381 + 2.29290i
\(653\) 13728.4i 0.822719i −0.911473 0.411359i \(-0.865054\pi\)
0.911473 0.411359i \(-0.134946\pi\)
\(654\) 2349.25 + 40750.9i 0.140463 + 2.43652i
\(655\) −33388.5 −1.99175
\(656\) −13387.4 + 23187.6i −0.796782 + 1.38007i
\(657\) 2599.01 + 22466.7i 0.154333 + 1.33411i
\(658\) 68.6264 + 669.363i 0.00406586 + 0.0396573i
\(659\) −104.852 60.5365i −0.00619797 0.00357840i 0.496898 0.867809i \(-0.334472\pi\)
−0.503096 + 0.864231i \(0.667806\pi\)
\(660\) 4516.11 + 78338.0i 0.266347 + 4.62015i
\(661\) 24111.8 + 13920.9i 1.41882 + 0.819156i 0.996195 0.0871490i \(-0.0277756\pi\)
0.422624 + 0.906305i \(0.361109\pi\)
\(662\) −5393.33 3113.84i −0.316643 0.182814i
\(663\) 170.796 + 2962.68i 0.0100048 + 0.173546i
\(664\) 14083.7 + 8131.23i 0.823123 + 0.475230i
\(665\) −367.917 3588.56i −0.0214544 0.209261i
\(666\) −4692.79 2030.87i −0.273036 0.118160i
\(667\) −5445.07 + 9431.14i −0.316093 + 0.547489i
\(668\) 26113.1 1.51249
\(669\) −1329.77 23066.6i −0.0768487 1.33304i
\(670\) 21489.1i 1.23910i
\(671\) 16374.3 + 28361.2i 0.942062 + 1.63170i
\(672\) 26150.4 21292.2i 1.50115 1.22227i
\(673\) 10610.3 18377.6i 0.607724 1.05261i −0.383890 0.923379i \(-0.625416\pi\)
0.991615 0.129230i \(-0.0412507\pi\)
\(674\) −28841.0 16651.4i −1.64824 0.951613i
\(675\) −3333.46 + 581.673i −0.190081 + 0.0331683i
\(676\) 18889.8 + 32718.2i 1.07475 + 1.86152i
\(677\) −5178.79 8969.93i −0.293999 0.509221i 0.680753 0.732513i \(-0.261653\pi\)
−0.974751 + 0.223293i \(0.928319\pi\)
\(678\) 37741.7 2175.78i 2.13785 0.123245i
\(679\) −944.735 9214.69i −0.0533956 0.520806i
\(680\) 22726.2 13121.0i 1.28163 0.739952i
\(681\) −134.751 205.144i −0.00758250 0.0115435i
\(682\) 45082.8i 2.53125i
\(683\) −5821.72 + 3361.17i −0.326152 + 0.188304i −0.654131 0.756381i \(-0.726966\pi\)
0.327979 + 0.944685i \(0.393632\pi\)
\(684\) −962.142 8317.08i −0.0537842 0.464929i
\(685\) 10477.2i 0.584401i
\(686\) −22455.1 + 24558.2i −1.24977 + 1.36682i
\(687\) 14345.7 9423.17i 0.796687 0.523314i
\(688\) 12005.1 0.665245
\(689\) −306.157 + 530.279i −0.0169284 + 0.0293208i
\(690\) 6815.96 13551.7i 0.376057 0.747686i
\(691\) 860.287 496.687i 0.0473616 0.0273442i −0.476132 0.879374i \(-0.657962\pi\)
0.523494 + 0.852029i \(0.324628\pi\)
\(692\) 18323.4 1.00657
\(693\) −6858.84 31059.8i −0.375968 1.70255i
\(694\) −58287.4 −3.18812
\(695\) −24450.5 + 14116.5i −1.33448 + 0.770460i
\(696\) 74189.0 4276.93i 4.04041 0.232926i
\(697\) 3030.06 5248.21i 0.164665 0.285208i
\(698\) 14022.5 0.760399
\(699\) −1387.81 24073.5i −0.0750958 1.30264i
\(700\) −8638.85 + 885.697i −0.466454 + 0.0478231i
\(701\) 3345.02i 0.180228i −0.995931 0.0901138i \(-0.971277\pi\)
0.995931 0.0901138i \(-0.0287231\pi\)
\(702\) 4023.14 10992.7i 0.216301 0.591013i
\(703\) −499.406 + 288.332i −0.0267930 + 0.0154689i
\(704\) 36147.9i 1.93519i
\(705\) 197.742 393.156i 0.0105637 0.0210030i
\(706\) −34155.1 + 19719.5i −1.82074 + 1.05121i
\(707\) −19928.3 27576.7i −1.06009 1.46694i
\(708\) −5650.37 + 11234.2i −0.299935 + 0.596339i
\(709\) 2778.33 + 4812.22i 0.147169 + 0.254903i 0.930180 0.367104i \(-0.119651\pi\)
−0.783011 + 0.622007i \(0.786317\pi\)
\(710\) −22914.5 39689.2i −1.21122 2.09790i
\(711\) −10992.8 + 1271.67i −0.579832 + 0.0670765i
\(712\) −74479.3 43000.6i −3.92027 2.26337i
\(713\) −3087.24 + 5347.25i −0.162157 + 0.280864i
\(714\) −14017.1 + 11413.0i −0.734702 + 0.598209i
\(715\) 6186.11 + 10714.7i 0.323563 + 0.560427i
\(716\) 1413.89i 0.0737984i
\(717\) 20375.5 + 10248.1i 1.06128 + 0.533781i
\(718\) 54497.3 2.83262
\(719\) −11984.2 + 20757.2i −0.621605 + 1.07665i 0.367582 + 0.929991i \(0.380186\pi\)
−0.989187 + 0.146660i \(0.953148\pi\)
\(720\) −51887.0 + 6002.42i −2.68572 + 0.310690i
\(721\) −10097.9 + 7297.25i −0.521588 + 0.376926i
\(722\) 29962.3 + 17298.7i 1.54443 + 0.891679i
\(723\) −4826.49 + 3170.34i −0.248270 + 0.163079i
\(724\) −31320.4 18082.8i −1.60775 0.928236i
\(725\) −4984.39 2877.74i −0.255332 0.147416i
\(726\) 66027.3 + 33209.2i 3.37535 + 1.69767i
\(727\) 28778.8 + 16615.4i 1.46815 + 0.847637i 0.999363 0.0356749i \(-0.0113581\pi\)
0.468786 + 0.883312i \(0.344691\pi\)
\(728\) 7231.94 16132.3i 0.368178 0.821294i
\(729\) 18519.8 6666.21i 0.940902 0.338678i
\(730\) 26791.6 46404.5i 1.35836 2.35275i
\(731\) −2717.19 −0.137481
\(732\) −43468.4 + 28552.8i −2.19486 + 1.44172i
\(733\) 22547.5i 1.13617i −0.822971 0.568084i \(-0.807685\pi\)
0.822971 0.568084i \(-0.192315\pi\)
\(734\) −31868.7 55198.2i −1.60258 2.77576i
\(735\) 21021.9 5635.55i 1.05497 0.282817i
\(736\) 7996.04 13849.5i 0.400459 0.693616i
\(737\) 18505.9 + 10684.4i 0.924929 + 0.534008i
\(738\) −19191.0 + 14251.8i −0.957222 + 0.710864i
\(739\) 10873.2 + 18833.0i 0.541242 + 0.937458i 0.998833 + 0.0482957i \(0.0153790\pi\)
−0.457591 + 0.889163i \(0.651288\pi\)
\(740\) 4291.40 + 7432.92i 0.213182 + 0.369243i
\(741\) −724.763 1103.37i −0.0359310 0.0547009i
\(742\) −3710.19 + 380.387i −0.183565 + 0.0188200i
\(743\) −22091.4 + 12754.5i −1.09079 + 0.629766i −0.933786 0.357833i \(-0.883516\pi\)
−0.157000 + 0.987599i \(0.550182\pi\)
\(744\) 42063.6 2424.92i 2.07275 0.119492i
\(745\) 23229.2i 1.14235i
\(746\) 10056.7 5806.22i 0.493567 0.284961i
\(747\) 4368.05 + 5881.84i 0.213947 + 0.288093i
\(748\) 44341.9i 2.16751i
\(749\) −1827.22 17822.3i −0.0891393 0.869440i
\(750\) −29956.2 15066.8i −1.45846 0.733548i
\(751\) 32562.1 1.58217 0.791084 0.611707i \(-0.209517\pi\)
0.791084 + 0.611707i \(0.209517\pi\)
\(752\) 549.378 951.550i 0.0266406 0.0461429i
\(753\) −3601.58 5483.00i −0.174301 0.265354i
\(754\) 17242.6 9955.00i 0.832808 0.480822i
\(755\) 18780.7 0.905297
\(756\) 48616.7 13713.1i 2.33885 0.659712i
\(757\) −922.082 −0.0442717 −0.0221358 0.999755i \(-0.507047\pi\)
−0.0221358 + 0.999755i \(0.507047\pi\)
\(758\) 13409.7 7742.07i 0.642561 0.370983i
\(759\) −8281.48 12607.6i −0.396046 0.602936i
\(760\) −5836.79 + 10109.6i −0.278582 + 0.482519i
\(761\) −10276.7 −0.489529 −0.244764 0.969583i \(-0.578711\pi\)
−0.244764 + 0.969583i \(0.578711\pi\)
\(762\) 9824.95 + 4941.57i 0.467087 + 0.234927i
\(763\) −11361.0 + 25343.0i −0.539052 + 1.20246i
\(764\) 79.3516i 0.00375764i
\(765\) 11743.9 1358.57i 0.555037 0.0642081i
\(766\) 33794.4 19511.2i 1.59405 0.920324i
\(767\) 1982.75i 0.0933416i
\(768\) 18869.4 1087.80i 0.886577 0.0511103i
\(769\) −30344.0 + 17519.1i −1.42293 + 0.821528i −0.996548 0.0830156i \(-0.973545\pi\)
−0.426380 + 0.904544i \(0.640212\pi\)
\(770\) −30827.2 + 68766.3i −1.44277 + 3.21840i
\(771\) −15239.3 23200.2i −0.711842 1.08370i
\(772\) −42798.0 74128.3i −1.99525 3.45588i
\(773\) 4927.07 + 8533.94i 0.229256 + 0.397082i