Properties

Label 63.4.s.a.47.16
Level $63$
Weight $4$
Character 63.47
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

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 47.16
Character \(\chi\) \(=\) 63.47
Dual form 63.4.s.a.59.16

$q$-expansion

\(f(q)\) \(=\) \(q+(2.09278 - 1.20827i) q^{2} +(-5.12336 + 0.866692i) q^{3} +(-1.08019 + 1.87094i) q^{4} -10.7193 q^{5} +(-9.67487 + 8.00418i) q^{6} +(-17.6173 + 5.71220i) q^{7} +24.5529i q^{8} +(25.4977 - 8.88075i) q^{9} +O(q^{10})\) \(q+(2.09278 - 1.20827i) q^{2} +(-5.12336 + 0.866692i) q^{3} +(-1.08019 + 1.87094i) q^{4} -10.7193 q^{5} +(-9.67487 + 8.00418i) q^{6} +(-17.6173 + 5.71220i) q^{7} +24.5529i q^{8} +(25.4977 - 8.88075i) q^{9} +(-22.4331 + 12.9518i) q^{10} -26.1223i q^{11} +(3.91266 - 10.5217i) q^{12} +(-29.8910 + 17.2576i) q^{13} +(-29.9673 + 33.2408i) q^{14} +(54.9189 - 9.29033i) q^{15} +(21.0249 + 36.4162i) q^{16} +(2.29830 + 3.98078i) q^{17} +(42.6307 - 49.3934i) q^{18} +(6.74409 + 3.89370i) q^{19} +(11.5788 - 20.0551i) q^{20} +(85.3093 - 44.5345i) q^{21} +(-31.5627 - 54.6682i) q^{22} +39.1615i q^{23} +(-21.2798 - 125.793i) q^{24} -10.0965 q^{25} +(-41.7035 + 72.2327i) q^{26} +(-122.937 + 67.5979i) q^{27} +(8.34283 - 39.1311i) q^{28} +(210.884 + 121.754i) q^{29} +(103.708 - 85.7993i) q^{30} +(-269.441 - 155.562i) q^{31} +(-82.1062 - 47.4041i) q^{32} +(22.6400 + 133.834i) q^{33} +(9.61969 + 5.55393i) q^{34} +(188.846 - 61.2308i) q^{35} +(-10.9269 + 57.2974i) q^{36} +(-28.3008 + 49.0184i) q^{37} +18.8185 q^{38} +(138.186 - 114.323i) q^{39} -263.190i q^{40} +(148.047 + 256.425i) q^{41} +(124.724 - 196.277i) q^{42} +(-60.7001 + 105.136i) q^{43} +(48.8731 + 28.2169i) q^{44} +(-273.318 + 95.1955i) q^{45} +(47.3176 + 81.9564i) q^{46} +(112.910 + 195.566i) q^{47} +(-139.280 - 168.351i) q^{48} +(277.742 - 201.268i) q^{49} +(-21.1297 + 12.1992i) q^{50} +(-15.2252 - 18.4031i) q^{51} -74.5656i q^{52} +(-307.128 + 177.321i) q^{53} +(-175.604 + 290.008i) q^{54} +280.013i q^{55} +(-140.251 - 432.556i) q^{56} +(-37.9271 - 14.1038i) q^{57} +588.443 q^{58} +(-135.574 + 234.821i) q^{59} +(-41.9410 + 112.785i) q^{60} +(-649.461 + 374.967i) q^{61} -751.841 q^{62} +(-398.473 + 302.103i) q^{63} -565.506 q^{64} +(320.411 - 184.989i) q^{65} +(209.088 + 252.730i) q^{66} +(-497.425 + 861.565i) q^{67} -9.93038 q^{68} +(-33.9410 - 200.639i) q^{69} +(321.229 - 356.318i) q^{70} -1139.11i q^{71} +(218.048 + 626.041i) q^{72} +(1074.95 - 620.624i) q^{73} +136.780i q^{74} +(51.7280 - 8.75054i) q^{75} +(-14.5697 + 8.41184i) q^{76} +(149.216 + 460.205i) q^{77} +(151.059 - 406.218i) q^{78} +(-216.802 - 375.512i) q^{79} +(-225.373 - 390.357i) q^{80} +(571.265 - 452.877i) q^{81} +(619.659 + 357.760i) q^{82} +(492.785 - 853.528i) q^{83} +(-8.82872 + 207.714i) q^{84} +(-24.6362 - 42.6712i) q^{85} +293.367i q^{86} +(-1185.96 - 441.017i) q^{87} +641.377 q^{88} +(75.6350 - 131.004i) q^{89} +(-456.972 + 529.463i) q^{90} +(428.022 - 474.777i) q^{91} +(-73.2687 - 42.3017i) q^{92} +(1515.27 + 563.478i) q^{93} +(472.591 + 272.851i) q^{94} +(-72.2920 - 41.7378i) q^{95} +(461.745 + 171.707i) q^{96} +(781.452 + 451.172i) q^{97} +(338.067 - 756.794i) q^{98} +(-231.986 - 666.058i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.09278 1.20827i 0.739909 0.427187i −0.0821272 0.996622i \(-0.526171\pi\)
0.822036 + 0.569435i \(0.192838\pi\)
\(3\) −5.12336 + 0.866692i −0.985992 + 0.166795i
\(4\) −1.08019 + 1.87094i −0.135023 + 0.233867i
\(5\) −10.7193 −0.958764 −0.479382 0.877606i \(-0.659139\pi\)
−0.479382 + 0.877606i \(0.659139\pi\)
\(6\) −9.67487 + 8.00418i −0.658292 + 0.544615i
\(7\) −17.6173 + 5.71220i −0.951247 + 0.308430i
\(8\) 24.5529i 1.08509i
\(9\) 25.4977 8.88075i 0.944359 0.328917i
\(10\) −22.4331 + 12.9518i −0.709398 + 0.409571i
\(11\) 26.1223i 0.716015i −0.933719 0.358008i \(-0.883456\pi\)
0.933719 0.358008i \(-0.116544\pi\)
\(12\) 3.91266 10.5217i 0.0941239 0.253112i
\(13\) −29.8910 + 17.2576i −0.637714 + 0.368184i −0.783733 0.621097i \(-0.786687\pi\)
0.146019 + 0.989282i \(0.453354\pi\)
\(14\) −29.9673 + 33.2408i −0.572079 + 0.634570i
\(15\) 54.9189 9.29033i 0.945333 0.159917i
\(16\) 21.0249 + 36.4162i 0.328514 + 0.569004i
\(17\) 2.29830 + 3.98078i 0.0327895 + 0.0567930i 0.881954 0.471335i \(-0.156228\pi\)
−0.849165 + 0.528128i \(0.822894\pi\)
\(18\) 42.6307 49.3934i 0.558231 0.646786i
\(19\) 6.74409 + 3.89370i 0.0814316 + 0.0470146i 0.540163 0.841560i \(-0.318363\pi\)
−0.458731 + 0.888575i \(0.651696\pi\)
\(20\) 11.5788 20.0551i 0.129455 0.224223i
\(21\) 85.3093 44.5345i 0.886477 0.462772i
\(22\) −31.5627 54.6682i −0.305872 0.529786i
\(23\) 39.1615i 0.355032i 0.984118 + 0.177516i \(0.0568062\pi\)
−0.984118 + 0.177516i \(0.943194\pi\)
\(24\) −21.2798 125.793i −0.180988 1.06989i
\(25\) −10.0965 −0.0807719
\(26\) −41.7035 + 72.2327i −0.314567 + 0.544846i
\(27\) −122.937 + 67.5979i −0.876268 + 0.481823i
\(28\) 8.34283 39.1311i 0.0563088 0.264110i
\(29\) 210.884 + 121.754i 1.35035 + 0.779624i 0.988298 0.152535i \(-0.0487437\pi\)
0.362050 + 0.932159i \(0.382077\pi\)
\(30\) 103.708 85.7993i 0.631146 0.522158i
\(31\) −269.441 155.562i −1.56107 0.901282i −0.997149 0.0754513i \(-0.975960\pi\)
−0.563917 0.825831i \(-0.690706\pi\)
\(32\) −82.1062 47.4041i −0.453577 0.261873i
\(33\) 22.6400 + 133.834i 0.119428 + 0.705985i
\(34\) 9.61969 + 5.55393i 0.0485224 + 0.0280144i
\(35\) 188.846 61.2308i 0.912021 0.295711i
\(36\) −10.9269 + 57.2974i −0.0505876 + 0.265266i
\(37\) −28.3008 + 49.0184i −0.125747 + 0.217799i −0.922024 0.387132i \(-0.873466\pi\)
0.796278 + 0.604931i \(0.206799\pi\)
\(38\) 18.8185 0.0803360
\(39\) 138.186 114.323i 0.567369 0.469394i
\(40\) 263.190i 1.04035i
\(41\) 148.047 + 256.425i 0.563928 + 0.976752i 0.997149 + 0.0754640i \(0.0240438\pi\)
−0.433221 + 0.901288i \(0.642623\pi\)
\(42\) 124.724 196.277i 0.458222 0.721101i
\(43\) −60.7001 + 105.136i −0.215271 + 0.372861i −0.953357 0.301847i \(-0.902397\pi\)
0.738085 + 0.674708i \(0.235730\pi\)
\(44\) 48.8731 + 28.2169i 0.167452 + 0.0966786i
\(45\) −273.318 + 95.1955i −0.905417 + 0.315353i
\(46\) 47.3176 + 81.9564i 0.151665 + 0.262692i
\(47\) 112.910 + 195.566i 0.350417 + 0.606940i 0.986323 0.164827i \(-0.0527065\pi\)
−0.635905 + 0.771767i \(0.719373\pi\)
\(48\) −139.280 168.351i −0.418819 0.506238i
\(49\) 277.742 201.268i 0.809742 0.586786i
\(50\) −21.1297 + 12.1992i −0.0597638 + 0.0345047i
\(51\) −15.2252 18.4031i −0.0418029 0.0505283i
\(52\) 74.5656i 0.198854i
\(53\) −307.128 + 177.321i −0.795987 + 0.459563i −0.842066 0.539375i \(-0.818661\pi\)
0.0460792 + 0.998938i \(0.485327\pi\)
\(54\) −175.604 + 290.008i −0.442530 + 0.730836i
\(55\) 280.013i 0.686490i
\(56\) −140.251 432.556i −0.334675 1.03219i
\(57\) −37.9271 14.1038i −0.0881327 0.0327736i
\(58\) 588.443 1.33218
\(59\) −135.574 + 234.821i −0.299157 + 0.518154i −0.975943 0.218025i \(-0.930039\pi\)
0.676787 + 0.736179i \(0.263372\pi\)
\(60\) −41.9410 + 112.785i −0.0902426 + 0.242675i
\(61\) −649.461 + 374.967i −1.36320 + 0.787042i −0.990048 0.140729i \(-0.955055\pi\)
−0.373149 + 0.927771i \(0.621722\pi\)
\(62\) −751.841 −1.54006
\(63\) −398.473 + 302.103i −0.796871 + 0.604150i
\(64\) −565.506 −1.10450
\(65\) 320.411 184.989i 0.611417 0.353002i
\(66\) 209.088 + 252.730i 0.389953 + 0.471347i
\(67\) −497.425 + 861.565i −0.907016 + 1.57100i −0.0888281 + 0.996047i \(0.528312\pi\)
−0.818188 + 0.574951i \(0.805021\pi\)
\(68\) −9.93038 −0.0177093
\(69\) −33.9410 200.639i −0.0592176 0.350059i
\(70\) 321.229 356.318i 0.548489 0.608403i
\(71\) 1139.11i 1.90405i −0.306018 0.952026i \(-0.598997\pi\)
0.306018 0.952026i \(-0.401003\pi\)
\(72\) 218.048 + 626.041i 0.356905 + 1.02472i
\(73\) 1074.95 620.624i 1.72348 0.995049i 0.812045 0.583594i \(-0.198354\pi\)
0.911430 0.411455i \(-0.134979\pi\)
\(74\) 136.780i 0.214869i
\(75\) 51.7280 8.75054i 0.0796404 0.0134723i
\(76\) −14.5697 + 8.41184i −0.0219903 + 0.0126961i
\(77\) 149.216 + 460.205i 0.220841 + 0.681108i
\(78\) 151.059 406.218i 0.219283 0.589681i
\(79\) −216.802 375.512i −0.308761 0.534789i 0.669331 0.742964i \(-0.266581\pi\)
−0.978092 + 0.208175i \(0.933248\pi\)
\(80\) −225.373 390.357i −0.314968 0.545540i
\(81\) 571.265 452.877i 0.783628 0.621231i
\(82\) 619.659 + 357.760i 0.834511 + 0.481805i
\(83\) 492.785 853.528i 0.651689 1.12876i −0.331024 0.943622i \(-0.607394\pi\)
0.982713 0.185136i \(-0.0592724\pi\)
\(84\) −8.82872 + 207.714i −0.0114678 + 0.269803i
\(85\) −24.6362 42.6712i −0.0314373 0.0544511i
\(86\) 293.367i 0.367844i
\(87\) −1185.96 441.017i −1.46147 0.543471i
\(88\) 641.377 0.776944
\(89\) 75.6350 131.004i 0.0900819 0.156027i −0.817463 0.575980i \(-0.804620\pi\)
0.907545 + 0.419954i \(0.137954\pi\)
\(90\) −456.972 + 529.463i −0.535212 + 0.620115i
\(91\) 428.022 474.777i 0.493064 0.546924i
\(92\) −73.2687 42.3017i −0.0830303 0.0479376i
\(93\) 1515.27 + 563.478i 1.68953 + 0.628279i
\(94\) 472.591 + 272.851i 0.518554 + 0.299387i
\(95\) −72.2920 41.7378i −0.0780737 0.0450759i
\(96\) 461.745 + 171.707i 0.490902 + 0.182550i
\(97\) 781.452 + 451.172i 0.817984 + 0.472263i 0.849721 0.527233i \(-0.176770\pi\)
−0.0317367 + 0.999496i \(0.510104\pi\)
\(98\) 338.067 756.794i 0.348468 0.780079i
\(99\) −231.986 666.058i −0.235509 0.676176i
\(100\) 10.9061 18.8899i 0.0109061 0.0188899i
\(101\) −278.651 −0.274523 −0.137261 0.990535i \(-0.543830\pi\)
−0.137261 + 0.990535i \(0.543830\pi\)
\(102\) −54.0987 20.1175i −0.0525154 0.0195287i
\(103\) 1288.26i 1.23238i 0.787596 + 0.616192i \(0.211326\pi\)
−0.787596 + 0.616192i \(0.788674\pi\)
\(104\) −423.723 733.910i −0.399514 0.691979i
\(105\) −914.457 + 477.379i −0.849922 + 0.443689i
\(106\) −428.501 + 742.185i −0.392638 + 0.680070i
\(107\) −1405.87 811.679i −1.27019 0.733346i −0.295168 0.955445i \(-0.595376\pi\)
−0.975024 + 0.222100i \(0.928709\pi\)
\(108\) 6.32340 303.026i 0.00563397 0.269987i
\(109\) −426.818 739.271i −0.375062 0.649627i 0.615274 0.788313i \(-0.289045\pi\)
−0.990336 + 0.138686i \(0.955712\pi\)
\(110\) 338.330 + 586.005i 0.293259 + 0.507940i
\(111\) 102.511 275.667i 0.0876572 0.235722i
\(112\) −578.420 521.459i −0.487996 0.439939i
\(113\) 1119.93 646.595i 0.932342 0.538288i 0.0447903 0.998996i \(-0.485738\pi\)
0.887551 + 0.460709i \(0.152405\pi\)
\(114\) −96.4141 + 16.3099i −0.0792106 + 0.0133996i
\(115\) 419.784i 0.340392i
\(116\) −455.586 + 263.033i −0.364656 + 0.210534i
\(117\) −608.892 + 705.484i −0.481129 + 0.557453i
\(118\) 655.238i 0.511183i
\(119\) −63.2290 57.0024i −0.0487075 0.0439109i
\(120\) 228.104 + 1348.42i 0.173525 + 1.02577i
\(121\) 648.625 0.487322
\(122\) −906.119 + 1569.44i −0.672428 + 1.16468i
\(123\) −980.739 1185.45i −0.718945 0.869009i
\(124\) 582.093 336.071i 0.421560 0.243388i
\(125\) 1448.14 1.03621
\(126\) −468.895 + 1113.70i −0.331527 + 0.787428i
\(127\) −2072.04 −1.44775 −0.723873 0.689933i \(-0.757640\pi\)
−0.723873 + 0.689933i \(0.757640\pi\)
\(128\) −526.628 + 304.049i −0.363655 + 0.209956i
\(129\) 219.868 591.256i 0.150065 0.403544i
\(130\) 447.033 774.284i 0.301595 0.522378i
\(131\) 17.7370 0.0118297 0.00591485 0.999983i \(-0.498117\pi\)
0.00591485 + 0.999983i \(0.498117\pi\)
\(132\) −274.850 102.208i −0.181232 0.0673941i
\(133\) −141.055 30.0731i −0.0919623 0.0196065i
\(134\) 2404.09i 1.54986i
\(135\) 1317.80 724.603i 0.840134 0.461955i
\(136\) −97.7396 + 56.4300i −0.0616257 + 0.0355796i
\(137\) 2005.03i 1.25037i 0.780475 + 0.625187i \(0.214977\pi\)
−0.780475 + 0.625187i \(0.785023\pi\)
\(138\) −313.456 378.883i −0.193356 0.233715i
\(139\) −618.188 + 356.911i −0.377223 + 0.217790i −0.676609 0.736342i \(-0.736551\pi\)
0.299386 + 0.954132i \(0.403218\pi\)
\(140\) −89.4294 + 419.459i −0.0539869 + 0.253219i
\(141\) −747.974 904.096i −0.446743 0.539990i
\(142\) −1376.35 2383.91i −0.813385 1.40882i
\(143\) 450.808 + 780.822i 0.263626 + 0.456613i
\(144\) 859.490 + 741.813i 0.497390 + 0.429290i
\(145\) −2260.53 1305.11i −1.29466 0.747475i
\(146\) 1499.76 2597.66i 0.850143 1.47249i
\(147\) −1248.53 + 1271.88i −0.700526 + 0.713627i
\(148\) −61.1402 105.898i −0.0339574 0.0588159i
\(149\) 1605.04i 0.882485i 0.897388 + 0.441243i \(0.145462\pi\)
−0.897388 + 0.441243i \(0.854538\pi\)
\(150\) 97.6822 80.8141i 0.0531715 0.0439896i
\(151\) 1112.79 0.599717 0.299859 0.953984i \(-0.403060\pi\)
0.299859 + 0.953984i \(0.403060\pi\)
\(152\) −95.6016 + 165.587i −0.0510152 + 0.0883609i
\(153\) 93.9538 + 81.0900i 0.0496452 + 0.0428480i
\(154\) 868.326 + 782.816i 0.454362 + 0.409617i
\(155\) 2888.22 + 1667.52i 1.49669 + 0.864117i
\(156\) 64.6254 + 382.027i 0.0331678 + 0.196068i
\(157\) 149.815 + 86.4957i 0.0761563 + 0.0439688i 0.537595 0.843203i \(-0.319333\pi\)
−0.461438 + 0.887172i \(0.652666\pi\)
\(158\) −907.436 523.908i −0.456910 0.263797i
\(159\) 1419.85 1174.66i 0.708183 0.585892i
\(160\) 880.122 + 508.139i 0.434873 + 0.251074i
\(161\) −223.699 689.922i −0.109503 0.337723i
\(162\) 648.334 1638.01i 0.314432 0.794410i
\(163\) −1100.08 + 1905.39i −0.528617 + 0.915591i 0.470826 + 0.882226i \(0.343956\pi\)
−0.999443 + 0.0333655i \(0.989377\pi\)
\(164\) −639.672 −0.304573
\(165\) −242.685 1434.61i −0.114503 0.676873i
\(166\) 2381.66i 1.11357i
\(167\) 68.4457 + 118.551i 0.0317155 + 0.0549328i 0.881447 0.472282i \(-0.156570\pi\)
−0.849732 + 0.527215i \(0.823236\pi\)
\(168\) 1093.45 + 2094.59i 0.502151 + 0.961911i
\(169\) −502.851 + 870.963i −0.228881 + 0.396433i
\(170\) −103.116 59.5343i −0.0465216 0.0268592i
\(171\) 206.538 + 39.3878i 0.0923645 + 0.0176144i
\(172\) −131.135 227.132i −0.0581332 0.100690i
\(173\) −745.967 1292.05i −0.327831 0.567821i 0.654250 0.756278i \(-0.272984\pi\)
−0.982081 + 0.188458i \(0.939651\pi\)
\(174\) −3014.81 + 509.999i −1.31352 + 0.222201i
\(175\) 177.873 57.6732i 0.0768340 0.0249125i
\(176\) 951.276 549.219i 0.407415 0.235221i
\(177\) 491.077 1320.57i 0.208540 0.560794i
\(178\) 365.549i 0.153927i
\(179\) 589.130 340.135i 0.245998 0.142027i −0.371932 0.928260i \(-0.621305\pi\)
0.617930 + 0.786233i \(0.287971\pi\)
\(180\) 117.129 614.188i 0.0485015 0.254327i
\(181\) 2275.25i 0.934355i 0.884164 + 0.467177i \(0.154729\pi\)
−0.884164 + 0.467177i \(0.845271\pi\)
\(182\) 322.098 1510.77i 0.131184 0.615305i
\(183\) 3002.45 2483.97i 1.21283 1.00339i
\(184\) −961.528 −0.385243
\(185\) 303.365 525.443i 0.120561 0.208818i
\(186\) 3851.96 651.614i 1.51849 0.256875i
\(187\) 103.987 60.0370i 0.0406647 0.0234778i
\(188\) −487.854 −0.189258
\(189\) 1779.69 1893.14i 0.684939 0.728600i
\(190\) −201.721 −0.0770232
\(191\) −2899.43 + 1673.99i −1.09840 + 0.634164i −0.935802 0.352527i \(-0.885322\pi\)
−0.162603 + 0.986692i \(0.551989\pi\)
\(192\) 2897.29 490.119i 1.08903 0.184225i
\(193\) −1032.44 + 1788.24i −0.385060 + 0.666944i −0.991778 0.127974i \(-0.959153\pi\)
0.606717 + 0.794918i \(0.292486\pi\)
\(194\) 2180.54 0.806978
\(195\) −1481.25 + 1225.47i −0.543973 + 0.450038i
\(196\) 76.5464 + 737.043i 0.0278959 + 0.268602i
\(197\) 2890.54i 1.04539i 0.852519 + 0.522696i \(0.175074\pi\)
−0.852519 + 0.522696i \(0.824926\pi\)
\(198\) −1290.27 1113.61i −0.463109 0.399702i
\(199\) 1007.22 581.519i 0.358794 0.207150i −0.309758 0.950816i \(-0.600248\pi\)
0.668552 + 0.743666i \(0.266915\pi\)
\(200\) 247.898i 0.0876451i
\(201\) 1801.78 4845.22i 0.632276 1.70028i
\(202\) −583.154 + 336.684i −0.203122 + 0.117272i
\(203\) −4410.69 940.367i −1.52497 0.325127i
\(204\) 50.8769 8.60657i 0.0174613 0.00295383i
\(205\) −1586.96 2748.70i −0.540674 0.936474i
\(206\) 1556.56 + 2696.03i 0.526458 + 0.911853i
\(207\) 347.784 + 998.529i 0.116776 + 0.335278i
\(208\) −1256.91 725.679i −0.418996 0.241908i
\(209\) 101.712 176.171i 0.0336632 0.0583063i
\(210\) −1336.95 + 2103.96i −0.439327 + 0.691365i
\(211\) −540.323 935.867i −0.176291 0.305345i 0.764316 0.644841i \(-0.223077\pi\)
−0.940607 + 0.339497i \(0.889743\pi\)
\(212\) 766.156i 0.248207i
\(213\) 987.258 + 5836.08i 0.317586 + 1.87738i
\(214\) −3922.90 −1.25310
\(215\) 650.662 1126.98i 0.206394 0.357486i
\(216\) −1659.72 3018.46i −0.522823 0.950833i
\(217\) 5635.44 + 1201.49i 1.76294 + 0.375863i
\(218\) −1786.47 1031.42i −0.555024 0.320443i
\(219\) −4969.48 + 4111.34i −1.53336 + 1.26858i
\(220\) −523.886 302.466i −0.160547 0.0926920i
\(221\) −137.397 79.3264i −0.0418206 0.0241451i
\(222\) −118.546 700.771i −0.0358390 0.211859i
\(223\) 5362.37 + 3095.96i 1.61027 + 0.929691i 0.989306 + 0.145854i \(0.0465928\pi\)
0.620966 + 0.783838i \(0.286741\pi\)
\(224\) 1717.28 + 366.126i 0.512233 + 0.109209i
\(225\) −257.437 + 89.6644i −0.0762777 + 0.0265672i
\(226\) 1562.52 2706.36i 0.459899 0.796568i
\(227\) −55.0293 −0.0160900 −0.00804499 0.999968i \(-0.502561\pi\)
−0.00804499 + 0.999968i \(0.502561\pi\)
\(228\) 67.3556 55.7244i 0.0195646 0.0161861i
\(229\) 1447.92i 0.417822i 0.977935 + 0.208911i \(0.0669918\pi\)
−0.977935 + 0.208911i \(0.933008\pi\)
\(230\) −507.211 878.516i −0.145411 0.251859i
\(231\) −1163.34 2228.48i −0.331352 0.634731i
\(232\) −2989.40 + 5177.80i −0.845965 + 1.46525i
\(233\) −1409.38 813.703i −0.396271 0.228787i 0.288602 0.957449i \(-0.406809\pi\)
−0.684874 + 0.728662i \(0.740143\pi\)
\(234\) −421.864 + 2212.12i −0.117855 + 0.617996i
\(235\) −1210.32 2096.33i −0.335967 0.581912i
\(236\) −292.890 507.300i −0.0807861 0.139926i
\(237\) 1436.21 + 1735.98i 0.393636 + 0.475798i
\(238\) −201.198 42.8959i −0.0547973 0.0116829i
\(239\) 1829.22 1056.10i 0.495073 0.285830i −0.231604 0.972810i \(-0.574397\pi\)
0.726676 + 0.686980i \(0.241064\pi\)
\(240\) 1492.98 + 1804.61i 0.401549 + 0.485363i
\(241\) 2195.88i 0.586926i 0.955970 + 0.293463i \(0.0948077\pi\)
−0.955970 + 0.293463i \(0.905192\pi\)
\(242\) 1357.43 783.712i 0.360574 0.208177i
\(243\) −2534.29 + 2815.36i −0.669032 + 0.743233i
\(244\) 1620.13i 0.425076i
\(245\) −2977.20 + 2157.45i −0.776351 + 0.562589i
\(246\) −3484.81 1295.88i −0.903183 0.335864i
\(247\) −268.784 −0.0692401
\(248\) 3819.49 6615.55i 0.977976 1.69390i
\(249\) −1784.97 + 4800.03i −0.454289 + 1.22164i
\(250\) 3030.64 1749.74i 0.766697 0.442653i
\(251\) 3257.57 0.819188 0.409594 0.912268i \(-0.365670\pi\)
0.409594 + 0.912268i \(0.365670\pi\)
\(252\) −134.791 1071.84i −0.0336946 0.267936i
\(253\) 1022.99 0.254209
\(254\) −4336.32 + 2503.57i −1.07120 + 0.618458i
\(255\) 163.203 + 197.268i 0.0400791 + 0.0484447i
\(256\) 1527.28 2645.32i 0.372871 0.645831i
\(257\) −2087.45 −0.506661 −0.253330 0.967380i \(-0.581526\pi\)
−0.253330 + 0.967380i \(0.581526\pi\)
\(258\) −254.259 1503.03i −0.0613545 0.362691i
\(259\) 218.582 1025.23i 0.0524402 0.245965i
\(260\) 799.291i 0.190654i
\(261\) 6458.31 + 1231.63i 1.53164 + 0.292093i
\(262\) 37.1197 21.4310i 0.00875290 0.00505349i
\(263\) 1779.81i 0.417293i 0.977991 + 0.208646i \(0.0669058\pi\)
−0.977991 + 0.208646i \(0.933094\pi\)
\(264\) −3286.01 + 555.876i −0.766060 + 0.129590i
\(265\) 3292.20 1900.75i 0.763163 0.440613i
\(266\) −331.532 + 107.495i −0.0764194 + 0.0247780i
\(267\) −273.966 + 736.731i −0.0627956 + 0.168866i
\(268\) −1074.62 1861.30i −0.244936 0.424242i
\(269\) −1531.88 2653.29i −0.347213 0.601390i 0.638540 0.769588i \(-0.279538\pi\)
−0.985753 + 0.168198i \(0.946205\pi\)
\(270\) 1882.35 3108.69i 0.424282 0.700699i
\(271\) 110.943 + 64.0531i 0.0248683 + 0.0143577i 0.512383 0.858757i \(-0.328763\pi\)
−0.487514 + 0.873115i \(0.662096\pi\)
\(272\) −96.6433 + 167.391i −0.0215436 + 0.0373146i
\(273\) −1781.43 + 2803.42i −0.394933 + 0.621503i
\(274\) 2422.61 + 4196.08i 0.534143 + 0.925163i
\(275\) 263.743i 0.0578339i
\(276\) 412.045 + 153.226i 0.0898629 + 0.0334170i
\(277\) −4962.44 −1.07640 −0.538202 0.842816i \(-0.680896\pi\)
−0.538202 + 0.842816i \(0.680896\pi\)
\(278\) −862.487 + 1493.87i −0.186074 + 0.322290i
\(279\) −8251.64 1573.63i −1.77065 0.337673i
\(280\) 1503.39 + 4636.70i 0.320875 + 0.989629i
\(281\) 3651.52 + 2108.21i 0.775201 + 0.447563i 0.834727 0.550664i \(-0.185626\pi\)
−0.0595257 + 0.998227i \(0.518959\pi\)
\(282\) −2657.73 988.322i −0.561226 0.208701i
\(283\) −2513.50 1451.17i −0.527958 0.304817i 0.212227 0.977220i \(-0.431929\pi\)
−0.740184 + 0.672404i \(0.765262\pi\)
\(284\) 2131.20 + 1230.45i 0.445295 + 0.257091i
\(285\) 406.552 + 151.183i 0.0844984 + 0.0314221i
\(286\) 1886.88 + 1089.39i 0.390118 + 0.225235i
\(287\) −4072.94 3671.85i −0.837694 0.755200i
\(288\) −2514.50 479.529i −0.514474 0.0981129i
\(289\) 2445.94 4236.48i 0.497850 0.862301i
\(290\) −6307.70 −1.27725
\(291\) −4394.69 1634.24i −0.885297 0.329212i
\(292\) 2681.56i 0.537419i
\(293\) 184.087 + 318.848i 0.0367047 + 0.0635744i 0.883794 0.467876i \(-0.154981\pi\)
−0.847089 + 0.531450i \(0.821647\pi\)
\(294\) −1076.13 + 4170.33i −0.213474 + 0.827274i
\(295\) 1453.26 2517.12i 0.286820 0.496788i
\(296\) −1203.54 694.865i −0.236333 0.136447i
\(297\) 1765.81 + 3211.40i 0.344993 + 0.627422i
\(298\) 1939.32 + 3359.00i 0.376986 + 0.652959i
\(299\) −675.834 1170.58i −0.130717 0.226409i
\(300\) −39.5041 + 106.232i −0.00760256 + 0.0204443i
\(301\) 468.818 2198.94i 0.0897748 0.421079i
\(302\) 2328.82 1344.54i 0.443736 0.256191i
\(303\) 1427.63 241.504i 0.270677 0.0457889i
\(304\) 327.459i 0.0617798i
\(305\) 6961.78 4019.38i 1.30698 0.754588i
\(306\) 294.603 + 56.1823i 0.0550370 + 0.0104958i
\(307\) 860.553i 0.159982i −0.996796 0.0799908i \(-0.974511\pi\)
0.996796 0.0799908i \(-0.0254891\pi\)
\(308\) −1022.20 217.934i −0.189107 0.0403180i
\(309\) −1116.52 6600.20i −0.205555 1.21512i
\(310\) 8059.22 1.47656
\(311\) 2325.27 4027.49i 0.423968 0.734334i −0.572356 0.820006i \(-0.693970\pi\)
0.996323 + 0.0856717i \(0.0273036\pi\)
\(312\) 2806.96 + 3392.85i 0.509336 + 0.615649i
\(313\) 3556.44 2053.31i 0.642243 0.370799i −0.143235 0.989689i \(-0.545750\pi\)
0.785478 + 0.618889i \(0.212417\pi\)
\(314\) 418.039 0.0751316
\(315\) 4271.35 3238.34i 0.764011 0.579237i
\(316\) 936.744 0.166759
\(317\) 4092.06 2362.55i 0.725025 0.418593i −0.0915746 0.995798i \(-0.529190\pi\)
0.816599 + 0.577205i \(0.195857\pi\)
\(318\) 1552.12 4173.86i 0.273706 0.736033i
\(319\) 3180.49 5508.76i 0.558223 0.966870i
\(320\) 6061.83 1.05896
\(321\) 7906.26 + 2940.07i 1.37472 + 0.511211i
\(322\) −1301.76 1173.57i −0.225293 0.203107i
\(323\) 35.7957i 0.00616633i
\(324\) 230.233 + 1557.99i 0.0394775 + 0.267145i
\(325\) 301.794 174.241i 0.0515094 0.0297389i
\(326\) 5316.74i 0.903272i
\(327\) 2827.47 + 3417.63i 0.478163 + 0.577968i
\(328\) −6295.96 + 3634.98i −1.05987 + 0.611915i
\(329\) −3106.28 2800.38i −0.520532 0.469271i
\(330\) −2241.27 2709.09i −0.373873 0.451910i
\(331\) 592.724 + 1026.63i 0.0984262 + 0.170479i 0.911033 0.412333i \(-0.135286\pi\)
−0.812607 + 0.582812i \(0.801952\pi\)
\(332\) 1064.60 + 1843.94i 0.175986 + 0.304817i
\(333\) −286.285 + 1501.19i −0.0471120 + 0.247041i
\(334\) 286.483 + 165.401i 0.0469332 + 0.0270969i
\(335\) 5332.05 9235.37i 0.869614 1.50622i
\(336\) 3415.40 + 2170.31i 0.554540 + 0.352381i
\(337\) −3299.99 5715.76i −0.533419 0.923908i −0.999238 0.0390284i \(-0.987574\pi\)
0.465819 0.884880i \(-0.345760\pi\)
\(338\) 2430.31i 0.391099i
\(339\) −5177.43 + 4283.38i −0.829498 + 0.686257i
\(340\) 106.447 0.0169791
\(341\) −4063.64 + 7038.42i −0.645332 + 1.11775i
\(342\) 479.829 167.123i 0.0758660 0.0264238i
\(343\) −3743.39 + 5132.32i −0.589282 + 0.807927i
\(344\) −2581.38 1490.36i −0.404589 0.233590i
\(345\) 363.824 + 2150.71i 0.0567757 + 0.335624i
\(346\) −3122.29 1802.65i −0.485131 0.280090i
\(347\) −2271.12 1311.23i −0.351355 0.202855i 0.313927 0.949447i \(-0.398355\pi\)
−0.665282 + 0.746592i \(0.731689\pi\)
\(348\) 2106.17 1742.47i 0.324432 0.268408i
\(349\) −6093.48 3518.07i −0.934603 0.539593i −0.0463383 0.998926i \(-0.514755\pi\)
−0.888264 + 0.459333i \(0.848089\pi\)
\(350\) 302.565 335.615i 0.0462079 0.0512554i
\(351\) 2508.14 4142.17i 0.381409 0.629894i
\(352\) −1238.30 + 2144.80i −0.187505 + 0.324768i
\(353\) −10451.4 −1.57585 −0.787923 0.615774i \(-0.788844\pi\)
−0.787923 + 0.615774i \(0.788844\pi\)
\(354\) −567.889 3357.02i −0.0852626 0.504022i
\(355\) 12210.5i 1.82554i
\(356\) 163.400 + 283.016i 0.0243263 + 0.0421344i
\(357\) 373.349 + 237.244i 0.0553493 + 0.0351716i
\(358\) 821.946 1423.65i 0.121344 0.210174i
\(359\) 9887.03 + 5708.28i 1.45353 + 0.839197i 0.998680 0.0513705i \(-0.0163589\pi\)
0.454852 + 0.890567i \(0.349692\pi\)
\(360\) −2337.32 6710.73i −0.342188 0.982462i
\(361\) −3399.18 5887.55i −0.495579 0.858368i
\(362\) 2749.11 + 4761.60i 0.399144 + 0.691338i
\(363\) −3323.14 + 562.158i −0.480495 + 0.0812828i
\(364\) 425.934 + 1313.65i 0.0613324 + 0.189159i
\(365\) −11522.7 + 6652.66i −1.65241 + 0.954017i
\(366\) 3282.15 8826.16i 0.468746 1.26052i
\(367\) 7586.82i 1.07910i 0.841954 + 0.539549i \(0.181405\pi\)
−0.841954 + 0.539549i \(0.818595\pi\)
\(368\) −1426.12 + 823.368i −0.202015 + 0.116633i
\(369\) 6052.10 + 5223.47i 0.853820 + 0.736919i
\(370\) 1466.18i 0.206009i
\(371\) 4397.89 4878.29i 0.615437 0.682664i
\(372\) −2691.00 + 2226.31i −0.375059 + 0.310293i
\(373\) −2144.93 −0.297749 −0.148874 0.988856i \(-0.547565\pi\)
−0.148874 + 0.988856i \(0.547565\pi\)
\(374\) 145.081 251.288i 0.0200588 0.0347428i
\(375\) −7419.35 + 1255.09i −1.02169 + 0.172834i
\(376\) −4801.70 + 2772.26i −0.658587 + 0.380235i
\(377\) −8404.70 −1.14818
\(378\) 1437.09 6112.26i 0.195544 0.831695i
\(379\) 1473.32 0.199682 0.0998408 0.995003i \(-0.468167\pi\)
0.0998408 + 0.995003i \(0.468167\pi\)
\(380\) 156.177 90.1691i 0.0210835 0.0121726i
\(381\) 10615.8 1795.82i 1.42747 0.241477i
\(382\) −4045.24 + 7006.56i −0.541813 + 0.938448i
\(383\) −12643.8 −1.68686 −0.843431 0.537238i \(-0.819468\pi\)
−0.843431 + 0.537238i \(0.819468\pi\)
\(384\) 2434.59 2014.18i 0.323541 0.267671i
\(385\) −1599.49 4933.08i −0.211734 0.653021i
\(386\) 4989.85i 0.657971i
\(387\) −614.028 + 3219.78i −0.0806533 + 0.422921i
\(388\) −1688.23 + 974.698i −0.220894 + 0.127533i
\(389\) 8455.52i 1.10209i 0.834476 + 0.551044i \(0.185770\pi\)
−0.834476 + 0.551044i \(0.814230\pi\)
\(390\) −1619.25 + 4354.38i −0.210240 + 0.565365i
\(391\) −155.893 + 90.0051i −0.0201634 + 0.0116413i
\(392\) 4941.70 + 6819.35i 0.636718 + 0.878646i
\(393\) −90.8732 + 15.3725i −0.0116640 + 0.00197313i
\(394\) 3492.54 + 6049.25i 0.446577 + 0.773495i
\(395\) 2323.96 + 4025.22i 0.296029 + 0.512737i
\(396\) 1496.74 + 285.436i 0.189934 + 0.0362215i
\(397\) −8524.29 4921.50i −1.07764 0.622174i −0.147379 0.989080i \(-0.547084\pi\)
−0.930258 + 0.366906i \(0.880417\pi\)
\(398\) 1405.26 2433.98i 0.176983 0.306544i
\(399\) 748.738 + 31.8246i 0.0939443 + 0.00399304i
\(400\) −212.278 367.676i −0.0265347 0.0459595i
\(401\) 2361.32i 0.294061i −0.989132 0.147031i \(-0.953028\pi\)
0.989132 0.147031i \(-0.0469716\pi\)
\(402\) −2083.60 12317.0i −0.258509 1.52815i
\(403\) 10738.5 1.32735
\(404\) 300.994 521.337i 0.0370669 0.0642017i
\(405\) −6123.56 + 4854.53i −0.751314 + 0.595614i
\(406\) −10366.8 + 3361.31i −1.26723 + 0.410884i
\(407\) 1280.47 + 739.282i 0.155948 + 0.0900364i
\(408\) 451.848 373.821i 0.0548280 0.0453601i
\(409\) −4248.01 2452.59i −0.513572 0.296511i 0.220729 0.975335i \(-0.429156\pi\)
−0.734301 + 0.678825i \(0.762490\pi\)
\(410\) −6642.31 3834.94i −0.800099 0.461937i
\(411\) −1737.74 10272.5i −0.208556 1.23286i
\(412\) −2410.24 1391.56i −0.288214 0.166400i
\(413\) 1047.11 4911.35i 0.124758 0.585162i
\(414\) 1934.32 + 1669.48i 0.229630 + 0.198190i
\(415\) −5282.31 + 9149.23i −0.624815 + 1.08221i
\(416\) 3272.32 0.385670
\(417\) 2857.87 2364.36i 0.335613 0.277658i
\(418\) 491.583i 0.0575218i
\(419\) 5174.25 + 8962.06i 0.603290 + 1.04493i 0.992319 + 0.123704i \(0.0394772\pi\)
−0.389029 + 0.921225i \(0.627189\pi\)
\(420\) 94.6378 2226.55i 0.0109949 0.258677i
\(421\) 1438.21 2491.05i 0.166494 0.288376i −0.770691 0.637209i \(-0.780089\pi\)
0.937185 + 0.348833i \(0.113422\pi\)
\(422\) −2261.55 1305.71i −0.260878 0.150618i
\(423\) 4615.71 + 3983.75i 0.530552 + 0.457911i
\(424\) −4353.73 7540.88i −0.498669 0.863720i
\(425\) −23.2048 40.1919i −0.00264847 0.00458728i
\(426\) 9117.65 + 11020.8i 1.03698 + 1.25342i
\(427\) 9299.90 10315.8i 1.05399 1.16912i
\(428\) 3037.20 1753.53i 0.343011 0.198037i
\(429\) −2986.39 3609.73i −0.336093 0.406245i
\(430\) 3144.69i 0.352676i
\(431\) 5858.22 3382.24i 0.654711 0.377998i −0.135548 0.990771i \(-0.543279\pi\)
0.790259 + 0.612773i \(0.209946\pi\)
\(432\) −5046.40 3055.66i −0.562026 0.340314i
\(433\) 10320.4i 1.14542i 0.819756 + 0.572712i \(0.194109\pi\)
−0.819756 + 0.572712i \(0.805891\pi\)
\(434\) 13245.4 4294.67i 1.46498 0.475001i
\(435\) 12712.6 + 4727.40i 1.40120 + 0.521061i
\(436\) 1844.17 0.202568
\(437\) −152.483 + 264.109i −0.0166917 + 0.0289109i
\(438\) −5432.44 + 14608.6i −0.592630 + 1.59366i
\(439\) 5671.87 3274.65i 0.616637 0.356015i −0.158922 0.987291i \(-0.550802\pi\)
0.775558 + 0.631276i \(0.217468\pi\)
\(440\) −6875.12 −0.744906
\(441\) 5294.36 7598.41i 0.571683 0.820474i
\(442\) −383.390 −0.0412579
\(443\) 15074.9 8703.51i 1.61677 0.933445i 0.629027 0.777383i \(-0.283453\pi\)
0.987747 0.156062i \(-0.0498800\pi\)
\(444\) 405.024 + 489.564i 0.0432919 + 0.0523281i
\(445\) −810.755 + 1404.27i −0.0863673 + 0.149593i
\(446\) 14963.0 1.58861
\(447\) −1391.08 8223.22i −0.147194 0.870123i
\(448\) 9962.71 3230.28i 1.05066 0.340662i
\(449\) 8031.38i 0.844152i −0.906560 0.422076i \(-0.861301\pi\)
0.906560 0.422076i \(-0.138699\pi\)
\(450\) −430.420 + 498.700i −0.0450894 + 0.0522421i
\(451\) 6698.41 3867.33i 0.699369 0.403781i
\(452\) 2793.77i 0.290725i
\(453\) −5701.21 + 964.443i −0.591316 + 0.100030i
\(454\) −115.164 + 66.4901i −0.0119051 + 0.00687342i
\(455\) −4588.10 + 5089.27i −0.472732 + 0.524371i
\(456\) 346.289 931.218i 0.0355624 0.0956322i
\(457\) −5105.37 8842.75i −0.522580 0.905135i −0.999655 0.0262722i \(-0.991636\pi\)
0.477075 0.878863i \(-0.341697\pi\)
\(458\) 1749.47 + 3030.17i 0.178488 + 0.309150i
\(459\) −551.639 334.025i −0.0560966 0.0339672i
\(460\) 785.390 + 453.445i 0.0796065 + 0.0459608i
\(461\) −8240.35 + 14272.7i −0.832519 + 1.44197i 0.0635154 + 0.997981i \(0.479769\pi\)
−0.896034 + 0.443984i \(0.853565\pi\)
\(462\) −5127.21 3258.08i −0.516319 0.328094i
\(463\) −1041.49 1803.91i −0.104540 0.181069i 0.809010 0.587795i \(-0.200004\pi\)
−0.913550 + 0.406726i \(0.866670\pi\)
\(464\) 10239.4i 1.02447i
\(465\) −16242.6 6040.09i −1.61986 0.602371i
\(466\) −3932.68 −0.390940
\(467\) −3810.55 + 6600.06i −0.377583 + 0.653993i −0.990710 0.135992i \(-0.956578\pi\)
0.613127 + 0.789984i \(0.289911\pi\)
\(468\) −662.198 1901.25i −0.0654063 0.187789i
\(469\) 3841.87 18019.9i 0.378254 1.77416i
\(470\) −5065.85 2924.77i −0.497170 0.287041i
\(471\) −842.522 313.306i −0.0824232 0.0306504i
\(472\) −5765.53 3328.73i −0.562246 0.324613i
\(473\) 2746.38 + 1585.62i 0.266974 + 0.154138i
\(474\) 5103.19 + 1897.71i 0.494509 + 0.183891i
\(475\) −68.0916 39.3127i −0.00657739 0.00379746i
\(476\) 174.947 56.7243i 0.0168460 0.00546209i
\(477\) −6256.32 + 7248.79i −0.600539 + 0.695806i
\(478\) 2552.10 4420.37i 0.244206 0.422977i
\(479\) 6836.50 0.652124 0.326062 0.945348i \(-0.394278\pi\)
0.326062 + 0.945348i \(0.394278\pi\)
\(480\) −4949.58 1840.58i −0.470659 0.175022i
\(481\) 1953.61i 0.185192i
\(482\) 2653.21 + 4595.49i 0.250727 + 0.434272i
\(483\) 1744.04 + 3340.84i 0.164299 + 0.314728i
\(484\) −700.636 + 1213.54i −0.0657997 + 0.113968i
\(485\) −8376.63 4836.25i −0.784254 0.452789i
\(486\) −1902.00 + 8954.03i −0.177524 + 0.835727i
\(487\) 9331.03 + 16161.8i 0.868233 + 1.50382i 0.863801 + 0.503833i \(0.168077\pi\)
0.00443162 + 0.999990i \(0.498589\pi\)
\(488\) −9206.51 15946.1i −0.854014 1.47920i
\(489\) 3984.70 10715.4i 0.368496 0.990936i
\(490\) −3623.84 + 8112.31i −0.334099 + 0.747912i
\(491\) 8389.01 4843.40i 0.771061 0.445172i −0.0621920 0.998064i \(-0.519809\pi\)
0.833253 + 0.552892i \(0.186476\pi\)
\(492\) 3277.27 554.399i 0.300307 0.0508013i
\(493\) 1119.31i 0.102254i
\(494\) −562.505 + 324.762i −0.0512314 + 0.0295784i
\(495\) 2486.72 + 7139.68i 0.225798 + 0.648293i
\(496\) 13082.7i 1.18434i
\(497\) 6506.83 + 20068.1i 0.587266 + 1.81122i
\(498\) 2064.17 + 12202.1i 0.185738 + 1.09797i
\(499\) −4149.59 −0.372267 −0.186134 0.982524i \(-0.559596\pi\)
−0.186134 + 0.982524i \(0.559596\pi\)
\(500\) −1564.26 + 2709.38i −0.139912 + 0.242334i
\(501\) −453.420 548.061i −0.0404337 0.0488733i
\(502\) 6817.38 3936.01i 0.606124 0.349946i
\(503\) −11384.6 −1.00917 −0.504586 0.863362i \(-0.668355\pi\)
−0.504586 + 0.863362i \(0.668355\pi\)
\(504\) −7417.50 9783.65i −0.655559 0.864680i
\(505\) 2986.94 0.263202
\(506\) 2140.89 1236.04i 0.188091 0.108595i
\(507\) 1821.43 4898.08i 0.159551 0.429056i
\(508\) 2238.19 3876.65i 0.195479 0.338580i
\(509\) 2020.20 0.175921 0.0879605 0.996124i \(-0.471965\pi\)
0.0879605 + 0.996124i \(0.471965\pi\)
\(510\) 579.900 + 215.646i 0.0503498 + 0.0187234i
\(511\) −15392.7 + 17074.1i −1.33255 + 1.47811i
\(512\) 12246.2i 1.05705i
\(513\) −1092.31 22.7937i −0.0940087 0.00196173i
\(514\) −4368.58 + 2522.20i −0.374883 + 0.216439i
\(515\) 13809.2i 1.18157i
\(516\) 868.703 + 1050.03i 0.0741134 + 0.0895829i
\(517\) 5108.63 2949.47i 0.434579 0.250904i
\(518\) −781.312 2409.69i −0.0662720 0.204393i
\(519\) 4941.67 + 5973.13i 0.417949 + 0.505186i
\(520\) 4542.02 + 7867.01i 0.383040 + 0.663445i
\(521\) −5932.30 10275.0i −0.498846 0.864027i 0.501153 0.865359i \(-0.332909\pi\)
−0.999999 + 0.00133177i \(0.999576\pi\)
\(522\) 15003.9 5225.82i 1.25806 0.438176i
\(523\) 5064.90 + 2924.22i 0.423466 + 0.244488i 0.696559 0.717499i \(-0.254713\pi\)
−0.273093 + 0.961988i \(0.588047\pi\)
\(524\) −19.1593 + 33.1848i −0.00159728 + 0.00276658i
\(525\) −861.324 + 449.642i −0.0716024 + 0.0373790i
\(526\) 2150.49 + 3724.76i 0.178262 + 0.308759i
\(527\) 1430.12i 0.118210i
\(528\) −4397.73 + 3638.31i −0.362474 + 0.299881i
\(529\) 10633.4 0.873952
\(530\) 4593.23 7955.71i 0.376448 0.652026i
\(531\) −1371.44 + 7191.39i −0.112082 + 0.587721i
\(532\) 208.630 231.420i 0.0170024 0.0188596i
\(533\) −8850.55 5109.87i −0.719249 0.415259i
\(534\) 316.818 + 1872.84i 0.0256743 + 0.151771i
\(535\) 15069.9 + 8700.64i 1.21781 + 0.703105i
\(536\) −21153.9 12213.2i −1.70468 0.984197i
\(537\) −2723.54 + 2253.23i −0.218863 + 0.181069i
\(538\) −6411.76 3701.83i −0.513812 0.296649i
\(539\) −5257.57 7255.25i −0.420148 0.579788i
\(540\) −67.7824 + 3248.22i −0.00540165 + 0.258854i
\(541\) −5802.24 + 10049.8i −0.461105 + 0.798657i −0.999016 0.0443443i \(-0.985880\pi\)
0.537911 + 0.843001i \(0.319213\pi\)
\(542\) 309.573 0.0245337
\(543\) −1971.94 11656.9i −0.155846 0.921266i
\(544\) 435.796i 0.0343467i
\(545\) 4575.20 + 7924.47i 0.359596 + 0.622839i
\(546\) −340.857 + 8019.36i −0.0267168 + 0.628566i
\(547\) −2895.79 + 5015.65i −0.226353 + 0.392055i −0.956724 0.290995i \(-0.906014\pi\)
0.730372 + 0.683050i \(0.239347\pi\)
\(548\) −3751.28 2165.80i −0.292421 0.168829i
\(549\) −13229.8 + 15328.5i −1.02848 + 1.19163i
\(550\) 318.672 + 551.957i 0.0247059 + 0.0427918i
\(551\) 948.145 + 1642.24i 0.0733073 + 0.126972i
\(552\) 4926.26 833.348i 0.379847 0.0642566i
\(553\) 5964.47 + 5377.10i 0.458653 + 0.413486i
\(554\) −10385.3 + 5995.95i −0.796441 + 0.459826i
\(555\) −1098.85 + 2954.96i −0.0840425 + 0.226002i
\(556\) 1542.12i 0.117627i
\(557\) 5630.99 3251.06i 0.428353 0.247310i −0.270292 0.962779i \(-0.587120\pi\)
0.698645 + 0.715469i \(0.253787\pi\)
\(558\) −19170.2 + 6676.91i −1.45437 + 0.506552i
\(559\) 4190.15i 0.317038i
\(560\) 6200.26 + 5589.67i 0.467873 + 0.421798i
\(561\) −480.730 + 397.716i −0.0361791 + 0.0299315i
\(562\) 10189.1 0.764771
\(563\) 2513.57 4353.63i 0.188160 0.325903i −0.756477 0.654021i \(-0.773081\pi\)
0.944637 + 0.328117i \(0.106414\pi\)
\(564\) 2499.46 422.819i 0.186606 0.0315672i
\(565\) −12004.9 + 6931.05i −0.893896 + 0.516091i
\(566\) −7013.60 −0.520854
\(567\) −7477.24 + 11241.7i −0.553817 + 0.832638i
\(568\) 27968.4 2.06607
\(569\) −772.957 + 446.267i −0.0569491 + 0.0328796i −0.528204 0.849117i \(-0.677134\pi\)
0.471255 + 0.881997i \(0.343801\pi\)
\(570\) 1033.49 174.830i 0.0759443 0.0128471i
\(571\) −8709.40 + 15085.1i −0.638313 + 1.10559i 0.347489 + 0.937684i \(0.387034\pi\)
−0.985803 + 0.167907i \(0.946299\pi\)
\(572\) −1947.82 −0.142382
\(573\) 13404.0 11089.3i 0.977242 0.808489i
\(574\) −12960.3 2763.17i −0.942429 0.200928i
\(575\) 395.394i 0.0286766i
\(576\) −14419.1 + 5022.11i −1.04305 + 0.363290i
\(577\) 5638.05 3255.13i 0.406785 0.234858i −0.282622 0.959231i \(-0.591204\pi\)
0.689407 + 0.724374i \(0.257871\pi\)
\(578\) 11821.4i 0.850699i
\(579\) 3739.71 10056.6i 0.268423 0.721827i
\(580\) 4883.57 2819.53i 0.349619 0.201853i
\(581\) −3806.03 + 17851.8i −0.271774 + 1.27473i
\(582\) −11171.7 + 1889.86i −0.795674 + 0.134600i
\(583\) 4632.02 + 8022.89i 0.329054 + 0.569939i
\(584\) 15238.1 + 26393.2i 1.07972 + 1.87013i
\(585\) 6526.90 7562.29i 0.461289 0.534466i
\(586\) 770.507 + 444.852i 0.0543163 + 0.0313595i
\(587\) 2173.87 3765.25i 0.152854 0.264750i −0.779422 0.626500i \(-0.784487\pi\)
0.932275 + 0.361749i \(0.117820\pi\)
\(588\) −1030.96 3709.79i −0.0723065 0.260186i
\(589\) −1211.42 2098.25i −0.0847468 0.146786i
\(590\) 7023.70i 0.490103i
\(591\) −2505.20 14809.3i −0.174366 1.03075i
\(592\) −2380.09 −0.165238
\(593\) 7744.80 13414.4i 0.536325 0.928942i −0.462773 0.886477i \(-0.653145\pi\)
0.999098 0.0424652i \(-0.0135212\pi\)
\(594\) 7575.68 + 4587.17i 0.523290 + 0.316859i
\(595\) 677.771 + 611.026i 0.0466990 + 0.0421002i
\(596\) −3002.93 1733.74i −0.206384 0.119156i
\(597\) −4656.36 + 3852.28i −0.319216 + 0.264093i
\(598\) −2828.74 1633.17i −0.193438 0.111681i
\(599\) −11074.4 6393.82i −0.755406 0.436134i 0.0722376 0.997387i \(-0.476986\pi\)
−0.827644 + 0.561253i \(0.810319\pi\)
\(600\) 214.851 + 1270.07i 0.0146187 + 0.0864173i
\(601\) −14961.0 8637.74i −1.01543 0.586258i −0.102652 0.994717i \(-0.532733\pi\)
−0.912776 + 0.408460i \(0.866066\pi\)
\(602\) −1675.77 5168.35i −0.113454 0.349911i
\(603\) −5031.84 + 26385.4i −0.339821 + 1.78192i
\(604\) −1202.02 + 2081.95i −0.0809757 + 0.140254i
\(605\) −6952.81 −0.467227
\(606\) 2695.91 2230.37i 0.180716 0.149509i
\(607\) 10285.3i 0.687755i −0.939014 0.343878i \(-0.888259\pi\)
0.939014 0.343878i \(-0.111741\pi\)
\(608\) −369.155 639.395i −0.0246237 0.0426495i
\(609\) 23412.6 + 995.135i 1.55784 + 0.0662149i
\(610\) 9712.97 16823.4i 0.644699 1.11665i
\(611\) −6749.99 3897.11i −0.446932 0.258036i
\(612\) −253.202 + 88.1892i −0.0167240 + 0.00582490i
\(613\) 12096.2 + 20951.3i 0.797002 + 1.38045i 0.921560 + 0.388236i \(0.126916\pi\)
−0.124558 + 0.992212i \(0.539751\pi\)
\(614\) −1039.78 1800.95i −0.0683420 0.118372i
\(615\) 10512.8 + 12707.2i 0.689299 + 0.833174i
\(616\) −11299.4 + 3663.68i −0.739065 + 0.239633i
\(617\) 2592.10 1496.55i 0.169132 0.0976481i −0.413045 0.910711i \(-0.635535\pi\)
0.582176 + 0.813063i \(0.302201\pi\)
\(618\) −10311.4 12463.7i −0.671176 0.811269i
\(619\) 6609.48i 0.429172i −0.976705 0.214586i \(-0.931160\pi\)
0.976705 0.214586i \(-0.0688402\pi\)
\(620\) −6239.63 + 3602.45i −0.404177 + 0.233352i
\(621\) −2647.24 4814.40i −0.171063 0.311104i
\(622\) 11238.2i 0.724454i
\(623\) −584.168 + 2739.98i −0.0375670 + 0.176204i
\(624\) 7068.56 + 2628.56i 0.453476 + 0.168632i
\(625\) −14261.0 −0.912704
\(626\) 4961.90 8594.26i 0.316801 0.548715i
\(627\) −368.424 + 990.742i −0.0234664 + 0.0631044i
\(628\) −323.656 + 186.863i −0.0205657 + 0.0118736i
\(629\) −260.175 −0.0164926
\(630\) 5026.22 11938.1i 0.317856 0.754958i
\(631\) −17308.9 −1.09201 −0.546005 0.837782i \(-0.683852\pi\)
−0.546005 + 0.837782i \(0.683852\pi\)
\(632\) 9219.88 5323.10i 0.580296 0.335034i
\(633\) 3579.38 + 4326.49i 0.224751 + 0.271663i
\(634\) 5709.18 9888.59i 0.357635 0.619442i
\(635\) 22210.8 1.38805
\(636\) 664.021 + 3925.29i 0.0413996 + 0.244730i
\(637\) −4828.59 + 10809.2i −0.300338 + 0.672336i
\(638\) 15371.5i 0.953861i
\(639\) −10116.2 29044.7i −0.626274 1.79811i
\(640\) 5645.09 3259.19i 0.348659 0.201298i
\(641\) 25361.0i 1.56271i 0.624084 + 0.781357i \(0.285472\pi\)
−0.624084 + 0.781357i \(0.714528\pi\)
\(642\) 20098.4 3399.94i 1.23555 0.209011i
\(643\) 10112.2 5838.27i 0.620195 0.358070i −0.156750 0.987638i \(-0.550102\pi\)
0.776945 + 0.629568i \(0.216768\pi\)
\(644\) 1532.44 + 326.718i 0.0937677 + 0.0199915i
\(645\) −2356.84 + 6337.85i −0.143876 + 0.386903i
\(646\) 43.2507 + 74.9124i 0.00263417 + 0.00456252i
\(647\) 5873.10 + 10172.5i 0.356871 + 0.618118i 0.987436 0.158018i \(-0.0505103\pi\)
−0.630566 + 0.776136i \(0.717177\pi\)
\(648\) 11119.4 + 14026.2i 0.674094 + 0.850309i
\(649\) 6134.07 + 3541.51i 0.371006 + 0.214201i
\(650\) 421.059 729.296i 0.0254082 0.0440082i
\(651\) −29913.7 1271.46i −1.80094 0.0765476i
\(652\) −2376.57 4116.34i −0.142751 0.247252i
\(653\) 6900.05i 0.413507i −0.978393 0.206753i \(-0.933710\pi\)
0.978393 0.206753i \(-0.0662898\pi\)
\(654\) 10046.7 + 3736.02i 0.600697 + 0.223379i
\(655\) −190.129 −0.0113419
\(656\) −6225.35 + 10782.6i −0.370517 + 0.641754i
\(657\) 21897.2 25370.9i 1.30029 1.50656i
\(658\) −9884.37 2107.37i −0.585612 0.124854i
\(659\) −4602.35 2657.17i −0.272052 0.157069i 0.357768 0.933811i \(-0.383538\pi\)
−0.629820 + 0.776741i \(0.716871\pi\)
\(660\) 2946.20 + 1095.59i 0.173759 + 0.0646151i
\(661\) 16093.7 + 9291.68i 0.947006 + 0.546754i 0.892150 0.451740i \(-0.149197\pi\)
0.0548563 + 0.998494i \(0.482530\pi\)
\(662\) 2480.88 + 1432.34i 0.145653 + 0.0840927i
\(663\) 772.688 + 287.337i 0.0452620 + 0.0168314i
\(664\) 20956.6 + 12099.3i 1.22481 + 0.707143i
\(665\) 1512.01 + 322.363i 0.0881701 + 0.0187980i
\(666\) 1214.70 + 3487.56i 0.0706740 + 0.202913i
\(667\) −4768.06 + 8258.52i −0.276792 + 0.479417i
\(668\) −295.736 −0.0171293
\(669\) −30156.6 11214.2i −1.74278 0.648082i
\(670\) 25770.1i 1.48595i
\(671\) 9794.99 + 16965.4i 0.563534 + 0.976070i
\(672\) −9115.54 387.450i −0.523273 0.0222414i
\(673\) 5147.44 8915.63i 0.294828 0.510657i −0.680117 0.733104i \(-0.738071\pi\)
0.974945 + 0.222447i \(0.0714043\pi\)
\(674\) −13812.3 7974.54i −0.789363 0.455739i
\(675\) 1241.23 682.502i 0.0707779 0.0389178i
\(676\) −1086.34 1881.60i −0.0618084 0.107055i
\(677\) −2634.11 4562.41i −0.149538 0.259007i 0.781519 0.623881i \(-0.214445\pi\)
−0.931057 + 0.364875i \(0.881112\pi\)
\(678\) −5659.76 + 15219.9i −0.320593 + 0.862118i
\(679\) −16344.3 3484.63i −0.923765 0.196948i
\(680\) 1047.70 604.890i 0.0590845 0.0341125i
\(681\) 281.935 47.6935i 0.0158646 0.00268373i
\(682\) 19639.8i 1.10271i
\(683\) 15591.8 9001.90i 0.873502 0.504317i 0.00499159 0.999988i \(-0.498411\pi\)
0.868510 + 0.495671i \(0.165078\pi\)
\(684\) −296.791 + 343.873i −0.0165908 + 0.0192227i
\(685\) 21492.5i 1.19881i
\(686\) −1632.88 + 15263.8i −0.0908797 + 0.849526i
\(687\) −1254.90 7418.21i −0.0696905 0.411969i
\(688\) −5104.85 −0.282879
\(689\) 6120.25 10600.6i 0.338408 0.586140i
\(690\) 3360.03 + 4061.36i 0.185383 + 0.224077i
\(691\) 8943.10 5163.30i 0.492347 0.284257i −0.233201 0.972429i \(-0.574920\pi\)
0.725548 + 0.688172i \(0.241587\pi\)
\(692\) 3223.13 0.177059
\(693\) 7891.63 + 10409.0i 0.432580 + 0.570572i
\(694\) −6337.26 −0.346627
\(695\) 6626.55 3825.84i 0.361668 0.208809i
\(696\) 10828.2 29118.6i 0.589717 1.58583i
\(697\) −680.514 + 1178.68i −0.0369818 + 0.0640543i
\(698\) −17003.1 −0.922028
\(699\) 7925.97 + 2947.40i 0.428881 + 0.159486i
\(700\) −84.2333 + 395.087i −0.00454817 + 0.0213327i
\(701\) 26276.7i 1.41577i 0.706326 + 0.707887i \(0.250351\pi\)
−0.706326 + 0.707887i \(0.749649\pi\)
\(702\) 244.132 11699.1i 0.0131256 0.628997i
\(703\) −381.726 + 220.390i −0.0204795 + 0.0118238i
\(704\) 14772.3i 0.790841i
\(705\) 8017.76 + 9691.28i 0.428321 + 0.517723i
\(706\) −21872.5 + 12628.1i −1.16598 + 0.673181i
\(707\) 4909.08 1591.71i 0.261139 0.0846709i
\(708\) 1940.26 + 2345.24i 0.102993 + 0.124491i
\(709\) 6475.59 + 11216.0i 0.343012 + 0.594115i 0.984991 0.172608i \(-0.0552194\pi\)
−0.641978 + 0.766723i \(0.721886\pi\)
\(710\) 14753.5 + 25553.8i 0.779844 + 1.35073i
\(711\) −8862.77 7649.32i −0.467482 0.403476i
\(712\) 3216.52 + 1857.06i 0.169303 + 0.0977473i
\(713\) 6092.05 10551.7i 0.319984 0.554229i
\(714\) 1067.99 + 45.3942i 0.0559783 + 0.00237932i
\(715\) −4832.35 8369.87i −0.252755 0.437784i
\(716\) 1469.63i 0.0767078i
\(717\) −8456.44 + 6996.15i −0.440462 + 0.364402i
\(718\) 27588.5 1.43397
\(719\) −6027.33 + 10439.6i −0.312631 + 0.541492i −0.978931 0.204191i \(-0.934544\pi\)
0.666300 + 0.745684i \(0.267877\pi\)
\(720\) −9213.14 7951.72i −0.476880 0.411588i
\(721\) −7358.78 22695.7i −0.380104 1.17230i
\(722\) −14227.5 8214.22i −0.733367 0.423410i
\(723\) −1903.15 11250.3i −0.0978962 0.578704i
\(724\) −4256.85 2457.69i −0.218515 0.126160i
\(725\) −2129.18 1229.28i −0.109070 0.0629717i
\(726\) −6275.37 + 5191.72i −0.320800 + 0.265403i
\(727\) −24377.4 14074.3i −1.24361 0.718000i −0.273785 0.961791i \(-0.588276\pi\)
−0.969828 + 0.243791i \(0.921609\pi\)
\(728\) 11657.1 + 10509.2i 0.593464 + 0.535021i
\(729\) 10544.0 16620.6i 0.535693 0.844413i
\(730\) −16076.4 + 27845.1i −0.815087 + 1.41177i
\(731\) −558.029 −0.0282345
\(732\) 1404.16 + 8300.53i 0.0709004 + 0.419121i
\(733\) 6108.23i 0.307794i −0.988087 0.153897i \(-0.950818\pi\)
0.988087 0.153897i \(-0.0491824\pi\)
\(734\) 9166.90 + 15877.5i 0.460976 + 0.798434i
\(735\) 13383.4 13633.7i 0.671639 0.684200i
\(736\) 1856.42 3215.41i 0.0929733 0.161035i
\(737\) 22506.0 + 12993.9i 1.12486 + 0.649437i
\(738\) 18977.1 + 3619.02i 0.946551 + 0.180512i
\(739\) −8878.08 15377.3i −0.441929 0.765443i 0.555904 0.831247i \(-0.312372\pi\)
−0.997833 + 0.0658036i \(0.979039\pi\)
\(740\) 655.380 + 1135.15i 0.0325571 + 0.0563906i
\(741\) 1377.08 232.953i 0.0682702 0.0115489i
\(742\) 3309.53 15523.0i 0.163742 0.768016i
\(743\) −8335.34 + 4812.41i −0.411567 + 0.237618i −0.691463 0.722412i \(-0.743033\pi\)
0.279896 + 0.960030i \(0.409700\pi\)
\(744\) −13835.0 + 37204.2i −0.681742 + 1.83330i
\(745\) 17205.0i 0.846095i
\(746\) −4488.87 + 2591.65i −0.220307 + 0.127194i
\(747\) 4984.90 26139.3i 0.244161 1.28030i
\(748\) 259.404i 0.0126802i
\(749\) 29404.2 + 6269.02i 1.43445 + 0.305828i
\(750\) −14010.6 + 11591.2i −0.682125 + 0.564333i
\(751\) −16189.7 −0.786643 −0.393322 0.919401i \(-0.628674\pi\)
−0.393322 + 0.919401i \(0.628674\pi\)
\(752\) −4747.84 + 8223.51i −0.230234 + 0.398777i
\(753\) −16689.7 + 2823.31i −0.807712 + 0.136636i
\(754\) −17589.2 + 10155.1i −0.849549 + 0.490488i
\(755\) −11928.3 −0.574987
\(756\) 1619.54 + 5374.63i 0.0779129 + 0.258562i
\(757\) −16960.5 −0.814318 −0.407159 0.913357i \(-0.633481\pi\)
−0.407159 + 0.913357i \(0.633481\pi\)
\(758\) 3083.33 1780.16i 0.147746 0.0853013i
\(759\) −5241.14 + 886.616i −0.250648 + 0.0424007i
\(760\) 1024.78 1774.98i 0.0489115 0.0847173i
\(761\) −1386.80 −0.0660597 −0.0330299 0.999454i \(-0.510516\pi\)
−0.0330299 + 0.999454i \(0.510516\pi\)
\(762\) 20046.7 16585.0i 0.953039 0.788465i
\(763\) 11742.3 + 10585.9i 0.557141 + 0.502275i
\(764\) 7232.86i 0.342507i
\(765\) −1007.12 869.229i −0.0475980 0.0410811i
\(766\) −26460.7 + 15277.1i −1.24812 + 0.720605i
\(767\) 9358.73i 0.440579i
\(768\) −5532.12 + 14876.6i −0.259926 + 0.698977i
\(769\) −18569.7 + 10721.2i −0.870795 + 0.502754i −0.867612 0.497241i \(-0.834346\pi\)
−0.00318241 + 0.999995i \(0.501013\pi\)
\(770\) −9307.86 8391.24i −0.435626 0.392726i
\(771\) 10694.8 1809.18i 0.499563 0.0845084i
\(772\) −2230.45 3863.26i −0.103984 0.180106i
\(773\) 6650.89 + 11519.7i