Properties

Label 105.4.s.a.26.11
Level $105$
Weight $4$
Character 105.26
Analytic conductor $6.195$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 105.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.19520055060\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 26.11
Character \(\chi\) \(=\) 105.26
Dual form 105.4.s.a.101.11

$q$-expansion

\(f(q)\) \(=\) \(q+(1.48940 + 0.859905i) q^{2} +(-4.11977 + 3.16663i) q^{3} +(-2.52113 - 4.36672i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(-8.85898 + 1.17376i) q^{6} +(2.28179 - 18.3792i) q^{7} -22.4302i q^{8} +(6.94494 - 26.0915i) q^{9} +O(q^{10})\) \(q+(1.48940 + 0.859905i) q^{2} +(-4.11977 + 3.16663i) q^{3} +(-2.52113 - 4.36672i) q^{4} +(-2.50000 + 4.33013i) q^{5} +(-8.85898 + 1.17376i) q^{6} +(2.28179 - 18.3792i) q^{7} -22.4302i q^{8} +(6.94494 - 26.0915i) q^{9} +(-7.44700 + 4.29953i) q^{10} +(49.7733 - 28.7366i) q^{11} +(24.2142 + 10.0064i) q^{12} +44.6643i q^{13} +(19.2028 - 25.4118i) q^{14} +(-3.41248 - 25.7557i) q^{15} +(-0.881158 + 1.52621i) q^{16} +(-54.8920 - 95.0758i) q^{17} +(32.7800 - 32.8887i) q^{18} +(-79.5306 - 45.9170i) q^{19} +25.2113 q^{20} +(48.7995 + 82.9434i) q^{21} +98.8431 q^{22} +(-27.1329 - 15.6652i) q^{23} +(71.0281 + 92.4072i) q^{24} +(-12.5000 - 21.6506i) q^{25} +(-38.4071 + 66.5230i) q^{26} +(54.0106 + 129.483i) q^{27} +(-86.0093 + 36.3722i) q^{28} -183.561i q^{29} +(17.0649 - 41.2949i) q^{30} +(123.493 - 71.2990i) q^{31} +(-158.026 + 91.2362i) q^{32} +(-114.056 + 276.002i) q^{33} -188.808i q^{34} +(73.8796 + 55.8283i) q^{35} +(-131.443 + 35.4534i) q^{36} +(-114.912 + 199.033i) q^{37} +(-78.9686 - 136.778i) q^{38} +(-141.435 - 184.006i) q^{39} +(97.1256 + 56.0755i) q^{40} +185.753 q^{41} +(1.35845 + 165.499i) q^{42} -22.3617 q^{43} +(-250.969 - 144.897i) q^{44} +(95.6173 + 95.3013i) q^{45} +(-26.9412 - 46.6635i) q^{46} +(-116.516 + 201.811i) q^{47} +(-1.20277 - 9.07793i) q^{48} +(-332.587 - 83.8749i) q^{49} -42.9953i q^{50} +(527.212 + 217.867i) q^{51} +(195.036 - 112.604i) q^{52} +(400.091 - 230.993i) q^{53} +(-30.8998 + 239.296i) q^{54} +287.366i q^{55} +(-412.248 - 51.1811i) q^{56} +(473.050 - 62.6764i) q^{57} +(157.845 - 273.395i) q^{58} +(229.693 + 397.840i) q^{59} +(-103.864 + 79.8347i) q^{60} +(-248.601 - 143.530i) q^{61} +245.241 q^{62} +(-463.693 - 187.178i) q^{63} -299.720 q^{64} +(-193.402 - 111.661i) q^{65} +(-407.210 + 312.999i) q^{66} +(416.027 + 720.580i) q^{67} +(-276.779 + 479.396i) q^{68} +(161.387 - 21.3829i) q^{69} +(62.0292 + 146.680i) q^{70} -471.261i q^{71} +(-585.238 - 155.776i) q^{72} +(469.038 - 270.799i) q^{73} +(-342.300 + 197.627i) q^{74} +(120.057 + 49.6127i) q^{75} +463.050i q^{76} +(-414.583 - 980.362i) q^{77} +(-52.4254 - 395.680i) q^{78} +(-175.522 + 304.014i) q^{79} +(-4.40579 - 7.63105i) q^{80} +(-632.536 - 362.408i) q^{81} +(276.661 + 159.730i) q^{82} +866.597 q^{83} +(239.161 - 422.204i) q^{84} +548.920 q^{85} +(-33.3055 - 19.2290i) q^{86} +(581.269 + 756.228i) q^{87} +(-644.568 - 1116.43i) q^{88} +(519.613 - 899.995i) q^{89} +(60.4622 + 224.164i) q^{90} +(820.892 + 101.915i) q^{91} +157.976i q^{92} +(-282.987 + 684.793i) q^{93} +(-347.077 + 200.385i) q^{94} +(397.653 - 229.585i) q^{95} +(362.118 - 876.281i) q^{96} +323.548i q^{97} +(-423.230 - 410.916i) q^{98} +(-404.110 - 1498.24i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + O(q^{10}) \) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + 36q^{11} + 246q^{12} + 18q^{14} + 20q^{15} - 376q^{16} - 72q^{17} - 442q^{18} - 198q^{19} - 640q^{20} - 218q^{21} + 204q^{22} + 72q^{23} - 50q^{24} - 400q^{25} - 312q^{26} + 508q^{27} + 350q^{28} + 40q^{30} + 510q^{31} + 810q^{32} + 290q^{33} - 70q^{35} - 612q^{36} - 658q^{37} - 192q^{38} - 648q^{39} - 1404q^{41} + 1892q^{42} + 332q^{43} + 2034q^{44} - 490q^{45} - 468q^{46} + 408q^{47} + 2810q^{48} + 980q^{49} - 888q^{51} + 3378q^{52} + 1152q^{53} + 2714q^{54} - 3354q^{56} - 816q^{57} - 1080q^{58} - 48q^{59} - 420q^{60} - 1662q^{61} - 2076q^{62} + 874q^{63} - 1952q^{64} + 870q^{65} - 1892q^{66} - 1298q^{67} + 1182q^{68} + 2450q^{69} - 450q^{70} - 2708q^{72} + 378q^{73} + 2898q^{74} - 50q^{75} - 3528q^{77} - 1896q^{78} - 326q^{79} - 1880q^{80} - 3308q^{81} - 2916q^{82} - 1536q^{83} + 1380q^{84} + 720q^{85} + 5202q^{86} - 1090q^{87} + 1668q^{88} - 1590q^{89} + 910q^{90} + 2082q^{91} - 4950q^{93} - 1152q^{94} + 990q^{95} + 7416q^{96} - 7830q^{98} + 3128q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.48940 + 0.859905i 0.526582 + 0.304022i 0.739624 0.673021i \(-0.235004\pi\)
−0.213041 + 0.977043i \(0.568337\pi\)
\(3\) −4.11977 + 3.16663i −0.792849 + 0.609418i
\(4\) −2.52113 4.36672i −0.315141 0.545840i
\(5\) −2.50000 + 4.33013i −0.223607 + 0.387298i
\(6\) −8.85898 + 1.17376i −0.602777 + 0.0798646i
\(7\) 2.28179 18.3792i 0.123205 0.992381i
\(8\) 22.4302i 0.991284i
\(9\) 6.94494 26.0915i 0.257220 0.966353i
\(10\) −7.44700 + 4.29953i −0.235495 + 0.135963i
\(11\) 49.7733 28.7366i 1.36429 0.787674i 0.374100 0.927388i \(-0.377952\pi\)
0.990192 + 0.139714i \(0.0446183\pi\)
\(12\) 24.2142 + 10.0064i 0.582504 + 0.240716i
\(13\) 44.6643i 0.952896i 0.879203 + 0.476448i \(0.158076\pi\)
−0.879203 + 0.476448i \(0.841924\pi\)
\(14\) 19.2028 25.4118i 0.366584 0.485113i
\(15\) −3.41248 25.7557i −0.0587400 0.443339i
\(16\) −0.881158 + 1.52621i −0.0137681 + 0.0238470i
\(17\) −54.8920 95.0758i −0.783134 1.35643i −0.930108 0.367287i \(-0.880287\pi\)
0.146974 0.989140i \(-0.453047\pi\)
\(18\) 32.7800 32.8887i 0.429241 0.430664i
\(19\) −79.5306 45.9170i −0.960293 0.554426i −0.0640300 0.997948i \(-0.520395\pi\)
−0.896263 + 0.443522i \(0.853729\pi\)
\(20\) 25.2113 0.281870
\(21\) 48.7995 + 82.9434i 0.507091 + 0.861892i
\(22\) 98.8431 0.957883
\(23\) −27.1329 15.6652i −0.245983 0.142018i 0.371941 0.928257i \(-0.378693\pi\)
−0.617923 + 0.786238i \(0.712026\pi\)
\(24\) 71.0281 + 92.4072i 0.604106 + 0.785939i
\(25\) −12.5000 21.6506i −0.100000 0.173205i
\(26\) −38.4071 + 66.5230i −0.289702 + 0.501778i
\(27\) 54.0106 + 129.483i 0.384976 + 0.922927i
\(28\) −86.0093 + 36.3722i −0.580508 + 0.245489i
\(29\) 183.561i 1.17539i −0.809082 0.587696i \(-0.800035\pi\)
0.809082 0.587696i \(-0.199965\pi\)
\(30\) 17.0649 41.2949i 0.103854 0.251313i
\(31\) 123.493 71.2990i 0.715486 0.413086i −0.0976027 0.995225i \(-0.531117\pi\)
0.813089 + 0.582139i \(0.197784\pi\)
\(32\) −158.026 + 91.2362i −0.872977 + 0.504014i
\(33\) −114.056 + 276.002i −0.601655 + 1.45593i
\(34\) 188.808i 0.952361i
\(35\) 73.8796 + 55.8283i 0.356798 + 0.269620i
\(36\) −131.443 + 35.4534i −0.608534 + 0.164136i
\(37\) −114.912 + 199.033i −0.510579 + 0.884349i 0.489346 + 0.872090i \(0.337236\pi\)
−0.999925 + 0.0122589i \(0.996098\pi\)
\(38\) −78.9686 136.778i −0.337116 0.583901i
\(39\) −141.435 184.006i −0.580711 0.755503i
\(40\) 97.1256 + 56.0755i 0.383923 + 0.221658i
\(41\) 185.753 0.707555 0.353778 0.935330i \(-0.384897\pi\)
0.353778 + 0.935330i \(0.384897\pi\)
\(42\) 1.35845 + 165.499i 0.00499080 + 0.608024i
\(43\) −22.3617 −0.0793054 −0.0396527 0.999214i \(-0.512625\pi\)
−0.0396527 + 0.999214i \(0.512625\pi\)
\(44\) −250.969 144.897i −0.859888 0.496457i
\(45\) 95.6173 + 95.3013i 0.316751 + 0.315704i
\(46\) −26.9412 46.6635i −0.0863535 0.149569i
\(47\) −116.516 + 201.811i −0.361608 + 0.626323i −0.988226 0.153004i \(-0.951105\pi\)
0.626618 + 0.779326i \(0.284439\pi\)
\(48\) −1.20277 9.07793i −0.00361678 0.0272976i
\(49\) −332.587 83.8749i −0.969641 0.244533i
\(50\) 42.9953i 0.121609i
\(51\) 527.212 + 217.867i 1.44754 + 0.598187i
\(52\) 195.036 112.604i 0.520128 0.300296i
\(53\) 400.091 230.993i 1.03692 0.598666i 0.117961 0.993018i \(-0.462364\pi\)
0.918959 + 0.394352i \(0.129031\pi\)
\(54\) −30.8998 + 239.296i −0.0778690 + 0.603038i
\(55\) 287.366i 0.704517i
\(56\) −412.248 51.1811i −0.983732 0.122131i
\(57\) 473.050 62.6764i 1.09924 0.145644i
\(58\) 157.845 273.395i 0.357346 0.618941i
\(59\) 229.693 + 397.840i 0.506839 + 0.877872i 0.999969 + 0.00791551i \(0.00251961\pi\)
−0.493129 + 0.869956i \(0.664147\pi\)
\(60\) −103.864 + 79.8347i −0.223481 + 0.171777i
\(61\) −248.601 143.530i −0.521804 0.301264i 0.215868 0.976423i \(-0.430742\pi\)
−0.737673 + 0.675159i \(0.764075\pi\)
\(62\) 245.241 0.502350
\(63\) −463.693 187.178i −0.927300 0.374320i
\(64\) −299.720 −0.585390
\(65\) −193.402 111.661i −0.369055 0.213074i
\(66\) −407.210 + 312.999i −0.759457 + 0.583751i
\(67\) 416.027 + 720.580i 0.758594 + 1.31392i 0.943568 + 0.331180i \(0.107447\pi\)
−0.184973 + 0.982744i \(0.559220\pi\)
\(68\) −276.779 + 479.396i −0.493595 + 0.854931i
\(69\) 161.387 21.3829i 0.281576 0.0373072i
\(70\) 62.0292 + 146.680i 0.105913 + 0.250452i
\(71\) 471.261i 0.787723i −0.919170 0.393862i \(-0.871139\pi\)
0.919170 0.393862i \(-0.128861\pi\)
\(72\) −585.238 155.776i −0.957930 0.254978i
\(73\) 469.038 270.799i 0.752010 0.434173i −0.0744096 0.997228i \(-0.523707\pi\)
0.826420 + 0.563054i \(0.190374\pi\)
\(74\) −342.300 + 197.627i −0.537724 + 0.310455i
\(75\) 120.057 + 49.6127i 0.184839 + 0.0763838i
\(76\) 463.050i 0.698888i
\(77\) −414.583 980.362i −0.613585 1.45094i
\(78\) −52.4254 395.680i −0.0761026 0.574384i
\(79\) −175.522 + 304.014i −0.249972 + 0.432965i −0.963518 0.267644i \(-0.913755\pi\)
0.713546 + 0.700609i \(0.247088\pi\)
\(80\) −4.40579 7.63105i −0.00615728 0.0106647i
\(81\) −632.536 362.408i −0.867676 0.497131i
\(82\) 276.661 + 159.730i 0.372586 + 0.215113i
\(83\) 866.597 1.14604 0.573020 0.819541i \(-0.305772\pi\)
0.573020 + 0.819541i \(0.305772\pi\)
\(84\) 239.161 422.204i 0.310650 0.548408i
\(85\) 548.920 0.700456
\(86\) −33.3055 19.2290i −0.0417608 0.0241106i
\(87\) 581.269 + 756.228i 0.716305 + 0.931909i
\(88\) −644.568 1116.43i −0.780809 1.35240i
\(89\) 519.613 899.995i 0.618863 1.07190i −0.370830 0.928701i \(-0.620927\pi\)
0.989694 0.143202i \(-0.0457398\pi\)
\(90\) 60.4622 + 224.164i 0.0708142 + 0.262543i
\(91\) 820.892 + 101.915i 0.945636 + 0.117402i
\(92\) 157.976i 0.179023i
\(93\) −282.987 + 684.793i −0.315531 + 0.763545i
\(94\) −347.077 + 200.385i −0.380832 + 0.219874i
\(95\) 397.653 229.585i 0.429456 0.247947i
\(96\) 362.118 876.281i 0.384985 0.931615i
\(97\) 323.548i 0.338674i 0.985558 + 0.169337i \(0.0541626\pi\)
−0.985558 + 0.169337i \(0.945837\pi\)
\(98\) −423.230 410.916i −0.436252 0.423559i
\(99\) −404.110 1498.24i −0.410248 1.52099i
\(100\) −63.0281 + 109.168i −0.0630281 + 0.109168i
\(101\) −87.3093 151.224i −0.0860158 0.148984i 0.819808 0.572639i \(-0.194080\pi\)
−0.905824 + 0.423655i \(0.860747\pi\)
\(102\) 597.884 + 777.844i 0.580385 + 0.755079i
\(103\) −907.603 524.005i −0.868241 0.501279i −0.00147739 0.999999i \(-0.500470\pi\)
−0.866763 + 0.498720i \(0.833804\pi\)
\(104\) 1001.83 0.944590
\(105\) −481.154 + 3.94942i −0.447199 + 0.00367071i
\(106\) 794.528 0.728032
\(107\) 1345.17 + 776.636i 1.21535 + 0.701684i 0.963920 0.266190i \(-0.0857650\pi\)
0.251432 + 0.967875i \(0.419098\pi\)
\(108\) 429.248 562.292i 0.382449 0.500987i
\(109\) −274.721 475.830i −0.241408 0.418131i 0.719708 0.694277i \(-0.244276\pi\)
−0.961116 + 0.276146i \(0.910943\pi\)
\(110\) −247.108 + 428.003i −0.214189 + 0.370986i
\(111\) −156.854 1183.85i −0.134126 1.01231i
\(112\) 26.0398 + 19.6774i 0.0219690 + 0.0166013i
\(113\) 1141.04i 0.949913i −0.880009 0.474957i \(-0.842464\pi\)
0.880009 0.474957i \(-0.157536\pi\)
\(114\) 758.456 + 313.428i 0.623122 + 0.257502i
\(115\) 135.665 78.3260i 0.110007 0.0635125i
\(116\) −801.558 + 462.780i −0.641576 + 0.370414i
\(117\) 1165.36 + 310.191i 0.920833 + 0.245104i
\(118\) 790.058i 0.616362i
\(119\) −1872.66 + 791.926i −1.44258 + 0.610048i
\(120\) −577.705 + 76.5427i −0.439475 + 0.0582280i
\(121\) 986.087 1707.95i 0.740862 1.28321i
\(122\) −246.844 427.546i −0.183182 0.317280i
\(123\) −765.259 + 588.211i −0.560985 + 0.431197i
\(124\) −622.685 359.507i −0.450958 0.260361i
\(125\) 125.000 0.0894427
\(126\) −529.670 677.515i −0.374498 0.479030i
\(127\) −1279.98 −0.894329 −0.447165 0.894452i \(-0.647566\pi\)
−0.447165 + 0.894452i \(0.647566\pi\)
\(128\) 817.804 + 472.159i 0.564722 + 0.326042i
\(129\) 92.1251 70.8112i 0.0628772 0.0483301i
\(130\) −192.035 332.615i −0.129559 0.224402i
\(131\) −1165.86 + 2019.33i −0.777569 + 1.34679i 0.155771 + 0.987793i \(0.450214\pi\)
−0.933339 + 0.358995i \(0.883119\pi\)
\(132\) 1492.77 197.784i 0.984311 0.130416i
\(133\) −1025.39 + 1356.93i −0.668515 + 0.884669i
\(134\) 1430.98i 0.922519i
\(135\) −695.704 89.8349i −0.443531 0.0572722i
\(136\) −2132.57 + 1231.24i −1.34460 + 0.776308i
\(137\) −1548.79 + 894.195i −0.965855 + 0.557637i −0.897970 0.440056i \(-0.854959\pi\)
−0.0678852 + 0.997693i \(0.521625\pi\)
\(138\) 258.757 + 106.930i 0.159615 + 0.0659600i
\(139\) 1312.40i 0.800839i −0.916332 0.400419i \(-0.868864\pi\)
0.916332 0.400419i \(-0.131136\pi\)
\(140\) 57.5269 463.362i 0.0347279 0.279723i
\(141\) −159.043 1200.38i −0.0949918 0.716949i
\(142\) 405.239 701.895i 0.239485 0.414801i
\(143\) 1283.50 + 2223.09i 0.750571 + 1.30003i
\(144\) 33.7016 + 33.5902i 0.0195032 + 0.0194388i
\(145\) 794.842 + 458.902i 0.455228 + 0.262826i
\(146\) 931.447 0.527994
\(147\) 1635.78 707.634i 0.917802 0.397038i
\(148\) 1158.83 0.643617
\(149\) 745.637 + 430.494i 0.409966 + 0.236694i 0.690775 0.723070i \(-0.257269\pi\)
−0.280809 + 0.959764i \(0.590603\pi\)
\(150\) 136.150 + 177.130i 0.0741107 + 0.0964176i
\(151\) 1587.96 + 2750.43i 0.855805 + 1.48230i 0.875897 + 0.482499i \(0.160271\pi\)
−0.0200921 + 0.999798i \(0.506396\pi\)
\(152\) −1029.93 + 1783.89i −0.549593 + 0.951924i
\(153\) −2861.89 + 771.921i −1.51222 + 0.407883i
\(154\) 225.540 1816.65i 0.118016 0.950585i
\(155\) 712.990i 0.369476i
\(156\) −446.928 + 1081.51i −0.229378 + 0.555065i
\(157\) −1015.83 + 586.490i −0.516382 + 0.298134i −0.735453 0.677575i \(-0.763031\pi\)
0.219071 + 0.975709i \(0.429697\pi\)
\(158\) −522.846 + 301.865i −0.263262 + 0.151994i
\(159\) −916.814 + 2218.58i −0.457284 + 1.10657i
\(160\) 912.362i 0.450804i
\(161\) −349.825 + 462.936i −0.171243 + 0.226611i
\(162\) −630.461 1083.69i −0.305764 0.525573i
\(163\) −425.656 + 737.258i −0.204540 + 0.354273i −0.949986 0.312293i \(-0.898903\pi\)
0.745446 + 0.666566i \(0.232236\pi\)
\(164\) −468.307 811.132i −0.222979 0.386212i
\(165\) −909.982 1183.88i −0.429345 0.558576i
\(166\) 1290.71 + 745.191i 0.603485 + 0.348422i
\(167\) 1963.71 0.909921 0.454960 0.890512i \(-0.349653\pi\)
0.454960 + 0.890512i \(0.349653\pi\)
\(168\) 1860.44 1094.58i 0.854380 0.502672i
\(169\) 202.102 0.0919899
\(170\) 817.562 + 472.019i 0.368848 + 0.212954i
\(171\) −1750.38 + 1756.18i −0.782778 + 0.785373i
\(172\) 56.3767 + 97.6473i 0.0249923 + 0.0432880i
\(173\) 97.2325 168.412i 0.0427309 0.0740121i −0.843869 0.536549i \(-0.819728\pi\)
0.886600 + 0.462537i \(0.153061\pi\)
\(174\) 215.457 + 1626.16i 0.0938723 + 0.708500i
\(175\) −426.443 + 180.337i −0.184206 + 0.0778983i
\(176\) 101.286i 0.0433791i
\(177\) −2206.10 911.657i −0.936838 0.387143i
\(178\) 1547.82 893.635i 0.651765 0.376297i
\(179\) 4101.34 2367.91i 1.71256 0.988749i 0.781488 0.623921i \(-0.214461\pi\)
0.931075 0.364828i \(-0.118872\pi\)
\(180\) 175.091 657.800i 0.0725028 0.272386i
\(181\) 2963.89i 1.21715i −0.793497 0.608575i \(-0.791742\pi\)
0.793497 0.608575i \(-0.208258\pi\)
\(182\) 1135.00 + 857.681i 0.462262 + 0.349316i
\(183\) 1478.68 195.917i 0.597308 0.0791399i
\(184\) −351.374 + 608.597i −0.140780 + 0.243839i
\(185\) −574.560 995.167i −0.228338 0.395493i
\(186\) −1010.34 + 776.588i −0.398288 + 0.306141i
\(187\) −5464.31 3154.82i −2.13685 1.23371i
\(188\) 1175.00 0.455829
\(189\) 2503.03 697.216i 0.963326 0.268333i
\(190\) 789.686 0.301525
\(191\) −553.249 319.418i −0.209590 0.121007i 0.391531 0.920165i \(-0.371946\pi\)
−0.601121 + 0.799158i \(0.705279\pi\)
\(192\) 1234.77 949.100i 0.464126 0.356747i
\(193\) 787.552 + 1364.08i 0.293727 + 0.508749i 0.974688 0.223570i \(-0.0717712\pi\)
−0.680961 + 0.732319i \(0.738438\pi\)
\(194\) −278.221 + 481.893i −0.102964 + 0.178340i
\(195\) 1150.36 152.416i 0.422456 0.0559730i
\(196\) 472.235 + 1663.77i 0.172097 + 0.606331i
\(197\) 325.944i 0.117881i 0.998261 + 0.0589405i \(0.0187722\pi\)
−0.998261 + 0.0589405i \(0.981228\pi\)
\(198\) 686.460 2578.97i 0.246387 0.925653i
\(199\) −526.526 + 303.990i −0.187560 + 0.108288i −0.590840 0.806789i \(-0.701203\pi\)
0.403280 + 0.915077i \(0.367870\pi\)
\(200\) −485.628 + 280.378i −0.171695 + 0.0991284i
\(201\) −3995.74 1651.22i −1.40218 0.579443i
\(202\) 300.311i 0.104603i
\(203\) −3373.69 418.848i −1.16644 0.144815i
\(204\) −377.802 2851.46i −0.129664 0.978637i
\(205\) −464.383 + 804.335i −0.158214 + 0.274035i
\(206\) −901.189 1560.91i −0.304800 0.527929i
\(207\) −597.166 + 599.145i −0.200512 + 0.201176i
\(208\) −68.1671 39.3563i −0.0227237 0.0131196i
\(209\) −5278.00 −1.74683
\(210\) −720.027 407.865i −0.236603 0.134025i
\(211\) 3315.33 1.08169 0.540846 0.841122i \(-0.318104\pi\)
0.540846 + 0.841122i \(0.318104\pi\)
\(212\) −2017.36 1164.72i −0.653551 0.377328i
\(213\) 1492.31 + 1941.48i 0.480052 + 0.624546i
\(214\) 1335.67 + 2313.44i 0.426656 + 0.738989i
\(215\) 55.9043 96.8291i 0.0177332 0.0307148i
\(216\) 2904.33 1211.47i 0.914883 0.381620i
\(217\) −1028.63 2432.40i −0.321787 0.760930i
\(218\) 944.935i 0.293574i
\(219\) −1074.81 + 2600.90i −0.331638 + 0.802522i
\(220\) 1254.85 724.486i 0.384554 0.222022i
\(221\) 4246.49 2451.71i 1.29253 0.746245i
\(222\) 784.385 1898.11i 0.237137 0.573842i
\(223\) 4592.55i 1.37910i 0.724236 + 0.689552i \(0.242192\pi\)
−0.724236 + 0.689552i \(0.757808\pi\)
\(224\) 1316.26 + 3112.56i 0.392618 + 0.928424i
\(225\) −651.710 + 175.782i −0.193099 + 0.0520834i
\(226\) 981.188 1699.47i 0.288795 0.500207i
\(227\) −2428.78 4206.77i −0.710149 1.23001i −0.964801 0.262982i \(-0.915294\pi\)
0.254652 0.967033i \(-0.418039\pi\)
\(228\) −1466.31 1907.66i −0.425915 0.554113i
\(229\) 4633.45 + 2675.12i 1.33706 + 0.771953i 0.986371 0.164539i \(-0.0526135\pi\)
0.350691 + 0.936491i \(0.385947\pi\)
\(230\) 269.412 0.0772369
\(231\) 4812.42 + 2726.03i 1.37071 + 0.776450i
\(232\) −4117.31 −1.16515
\(233\) 1126.35 + 650.300i 0.316694 + 0.182844i 0.649918 0.760004i \(-0.274803\pi\)
−0.333224 + 0.942848i \(0.608136\pi\)
\(234\) 1468.95 + 1464.10i 0.410377 + 0.409021i
\(235\) −582.578 1009.06i −0.161716 0.280100i
\(236\) 1158.17 2006.01i 0.319451 0.553306i
\(237\) −239.587 1808.28i −0.0656660 0.495613i
\(238\) −3470.13 430.820i −0.945105 0.117336i
\(239\) 1750.92i 0.473882i −0.971524 0.236941i \(-0.923855\pi\)
0.971524 0.236941i \(-0.0761448\pi\)
\(240\) 42.3155 + 17.4867i 0.0113811 + 0.00470316i
\(241\) 1844.54 1064.95i 0.493018 0.284644i −0.232808 0.972523i \(-0.574791\pi\)
0.725825 + 0.687879i \(0.241458\pi\)
\(242\) 2937.36 1695.88i 0.780249 0.450477i
\(243\) 3753.51 509.966i 0.990896 0.134627i
\(244\) 1447.43i 0.379762i
\(245\) 1194.66 1230.46i 0.311526 0.320861i
\(246\) −1645.58 + 218.031i −0.426498 + 0.0565086i
\(247\) 2050.85 3552.18i 0.528310 0.915059i
\(248\) −1599.25 2769.98i −0.409486 0.709250i
\(249\) −3570.18 + 2744.19i −0.908638 + 0.698418i
\(250\) 186.175 + 107.488i 0.0470990 + 0.0271926i
\(251\) −414.788 −0.104308 −0.0521538 0.998639i \(-0.516609\pi\)
−0.0521538 + 0.998639i \(0.516609\pi\)
\(252\) 351.677 + 2496.72i 0.0879110 + 0.624120i
\(253\) −1800.66 −0.447457
\(254\) −1906.40 1100.66i −0.470938 0.271896i
\(255\) −2261.42 + 1738.23i −0.555356 + 0.426870i
\(256\) 2010.90 + 3482.99i 0.490943 + 0.850338i
\(257\) −221.421 + 383.512i −0.0537426 + 0.0930848i −0.891645 0.452735i \(-0.850448\pi\)
0.837903 + 0.545820i \(0.183782\pi\)
\(258\) 198.102 26.2474i 0.0478034 0.00633369i
\(259\) 3395.86 + 2566.14i 0.814705 + 0.615645i
\(260\) 1126.04i 0.268593i
\(261\) −4789.38 1274.82i −1.13584 0.302335i
\(262\) −3472.86 + 2005.06i −0.818908 + 0.472797i
\(263\) 4312.97 2490.09i 1.01121 0.583824i 0.0996661 0.995021i \(-0.468223\pi\)
0.911546 + 0.411197i \(0.134889\pi\)
\(264\) 6190.77 + 2558.30i 1.44324 + 0.596411i
\(265\) 2309.93i 0.535463i
\(266\) −2694.05 + 1139.28i −0.620987 + 0.262607i
\(267\) 709.268 + 5353.19i 0.162571 + 1.22700i
\(268\) 2097.71 3633.35i 0.478128 0.828142i
\(269\) −693.992 1202.03i −0.157299 0.272450i 0.776595 0.630000i \(-0.216945\pi\)
−0.933894 + 0.357551i \(0.883612\pi\)
\(270\) −958.932 732.040i −0.216144 0.165002i
\(271\) 571.186 + 329.774i 0.128033 + 0.0739201i 0.562649 0.826696i \(-0.309782\pi\)
−0.434615 + 0.900616i \(0.643116\pi\)
\(272\) 193.474 0.0431290
\(273\) −3704.61 + 2179.59i −0.821293 + 0.483205i
\(274\) −3075.69 −0.678136
\(275\) −1244.33 718.416i −0.272858 0.157535i
\(276\) −500.250 650.823i −0.109100 0.141938i
\(277\) −2718.43 4708.45i −0.589655 1.02131i −0.994277 0.106829i \(-0.965930\pi\)
0.404622 0.914484i \(-0.367403\pi\)
\(278\) 1128.54 1954.69i 0.243473 0.421707i
\(279\) −1002.64 3717.30i −0.215150 0.797666i
\(280\) 1252.24 1657.13i 0.267270 0.353688i
\(281\) 3329.00i 0.706732i 0.935485 + 0.353366i \(0.114963\pi\)
−0.935485 + 0.353366i \(0.885037\pi\)
\(282\) 795.331 1924.60i 0.167948 0.406413i
\(283\) 5532.85 3194.39i 1.16217 0.670979i 0.210346 0.977627i \(-0.432541\pi\)
0.951823 + 0.306648i \(0.0992075\pi\)
\(284\) −2057.86 + 1188.11i −0.429971 + 0.248244i
\(285\) −911.227 + 2205.06i −0.189391 + 0.458303i
\(286\) 4414.76i 0.912762i
\(287\) 423.850 3413.99i 0.0871745 0.702165i
\(288\) 1283.01 + 4756.76i 0.262508 + 0.973247i
\(289\) −3569.77 + 6183.02i −0.726596 + 1.25850i
\(290\) 789.225 + 1366.98i 0.159810 + 0.276799i
\(291\) −1024.56 1332.94i −0.206394 0.268517i
\(292\) −2365.01 1365.44i −0.473978 0.273651i
\(293\) −6510.06 −1.29803 −0.649013 0.760777i \(-0.724818\pi\)
−0.649013 + 0.760777i \(0.724818\pi\)
\(294\) 3044.83 + 352.667i 0.604007 + 0.0699590i
\(295\) −2296.93 −0.453331
\(296\) 4464.36 + 2577.50i 0.876641 + 0.506129i
\(297\) 6409.19 + 4892.71i 1.25219 + 0.955906i
\(298\) 740.368 + 1282.35i 0.143921 + 0.249278i
\(299\) 699.675 1211.87i 0.135329 0.234396i
\(300\) −86.0330 649.333i −0.0165571 0.124964i
\(301\) −51.0248 + 410.990i −0.00977084 + 0.0787011i
\(302\) 5461.99i 1.04074i
\(303\) 838.564 + 346.532i 0.158991 + 0.0657021i
\(304\) 140.158 80.9203i 0.0264428 0.0152668i
\(305\) 1243.00 717.649i 0.233358 0.134729i
\(306\) −4926.28 1311.26i −0.920316 0.244966i
\(307\) 2643.43i 0.491428i −0.969342 0.245714i \(-0.920978\pi\)
0.969342 0.245714i \(-0.0790225\pi\)
\(308\) −3235.75 + 4281.98i −0.598617 + 0.792171i
\(309\) 5398.44 715.263i 0.993872 0.131682i
\(310\) −613.104 + 1061.93i −0.112329 + 0.194559i
\(311\) 1396.85 + 2419.42i 0.254688 + 0.441133i 0.964811 0.262945i \(-0.0846937\pi\)
−0.710122 + 0.704078i \(0.751360\pi\)
\(312\) −4127.30 + 3172.42i −0.748918 + 0.575650i
\(313\) −5645.67 3259.53i −1.01953 0.588625i −0.105561 0.994413i \(-0.533664\pi\)
−0.913967 + 0.405788i \(0.866997\pi\)
\(314\) −2017.30 −0.362557
\(315\) 1969.74 1539.91i 0.352324 0.275441i
\(316\) 1770.06 0.315106
\(317\) −2657.94 1534.56i −0.470929 0.271891i 0.245699 0.969346i \(-0.420982\pi\)
−0.716629 + 0.697455i \(0.754316\pi\)
\(318\) −3273.27 + 2515.97i −0.577219 + 0.443675i
\(319\) −5274.92 9136.43i −0.925827 1.60358i
\(320\) 749.299 1297.82i 0.130897 0.226720i
\(321\) −8001.11 + 1060.10i −1.39121 + 0.184328i
\(322\) −919.110 + 388.680i −0.159068 + 0.0672679i
\(323\) 10081.9i 1.73676i
\(324\) 12.1664 + 3675.78i 0.00208614 + 0.630278i
\(325\) 967.010 558.304i 0.165046 0.0952896i
\(326\) −1267.94 + 732.048i −0.215414 + 0.124369i
\(327\) 2638.56 + 1090.37i 0.446216 + 0.184396i
\(328\) 4166.48i 0.701388i
\(329\) 3443.25 + 2601.95i 0.576999 + 0.436019i
\(330\) −337.300 2545.77i −0.0562660 0.424667i
\(331\) 3072.11 5321.04i 0.510146 0.883598i −0.489785 0.871843i \(-0.662925\pi\)
0.999931 0.0117549i \(-0.00374179\pi\)
\(332\) −2184.80 3784.19i −0.361164 0.625555i
\(333\) 4395.03 + 4380.51i 0.723262 + 0.720872i
\(334\) 2924.75 + 1688.61i 0.479148 + 0.276636i
\(335\) −4160.27 −0.678507
\(336\) −169.589 + 1.39203i −0.0275353 + 0.000226016i
\(337\) 4494.84 0.726556 0.363278 0.931681i \(-0.381658\pi\)
0.363278 + 0.931681i \(0.381658\pi\)
\(338\) 301.010 + 173.788i 0.0484403 + 0.0279670i
\(339\) 3613.25 + 4700.83i 0.578894 + 0.753138i
\(340\) −1383.90 2396.98i −0.220742 0.382337i
\(341\) 4097.78 7097.57i 0.650755 1.12714i
\(342\) −4117.17 + 1110.50i −0.650968 + 0.175581i
\(343\) −2300.44 + 5921.28i −0.362135 + 0.932126i
\(344\) 501.578i 0.0786142i
\(345\) −310.877 + 752.284i −0.0485132 + 0.117396i
\(346\) 289.636 167.221i 0.0450027 0.0259823i
\(347\) 3001.05 1732.66i 0.464279 0.268051i −0.249563 0.968359i \(-0.580287\pi\)
0.713842 + 0.700307i \(0.246954\pi\)
\(348\) 1836.78 4444.78i 0.282936 0.684670i
\(349\) 4800.19i 0.736241i −0.929778 0.368121i \(-0.880001\pi\)
0.929778 0.368121i \(-0.119999\pi\)
\(350\) −790.217 98.1063i −0.120682 0.0149829i
\(351\) −5783.27 + 2412.34i −0.879453 + 0.366842i
\(352\) −5243.64 + 9082.26i −0.793997 + 1.37524i
\(353\) −3971.17 6878.27i −0.598765 1.03709i −0.993004 0.118084i \(-0.962325\pi\)
0.394238 0.919008i \(-0.371009\pi\)
\(354\) −2501.82 3254.85i −0.375622 0.488682i
\(355\) 2040.62 + 1178.15i 0.305084 + 0.176140i
\(356\) −5240.03 −0.780116
\(357\) 5207.21 9192.58i 0.771974 1.36281i
\(358\) 8144.72 1.20241
\(359\) 9607.02 + 5546.61i 1.41236 + 0.815429i 0.995611 0.0935901i \(-0.0298343\pi\)
0.416754 + 0.909019i \(0.363168\pi\)
\(360\) 2137.63 2144.71i 0.312952 0.313990i
\(361\) 787.245 + 1363.55i 0.114776 + 0.198797i
\(362\) 2548.66 4414.41i 0.370041 0.640929i
\(363\) 1346.00 + 10158.9i 0.194619 + 1.46889i
\(364\) −1624.54 3841.54i −0.233926 0.553164i
\(365\) 2707.99i 0.388336i
\(366\) 2370.82 + 979.728i 0.338592 + 0.139921i
\(367\) −3691.36 + 2131.21i −0.525034 + 0.303128i −0.738992 0.673715i \(-0.764698\pi\)
0.213958 + 0.976843i \(0.431364\pi\)
\(368\) 47.8168 27.6070i 0.00677343 0.00391064i
\(369\) 1290.05 4846.58i 0.181997 0.683748i
\(370\) 1976.27i 0.277679i
\(371\) −3332.53 7880.42i −0.466351 1.10278i
\(372\) 3703.74 490.725i 0.516210 0.0683949i
\(373\) −1046.28 + 1812.22i −0.145240 + 0.251563i −0.929462 0.368917i \(-0.879729\pi\)
0.784223 + 0.620480i \(0.213062\pi\)
\(374\) −5425.70 9397.58i −0.750150 1.29930i
\(375\) −514.971 + 395.828i −0.0709146 + 0.0545080i
\(376\) 4526.66 + 2613.47i 0.620864 + 0.358456i
\(377\) 8198.61 1.12003
\(378\) 4327.55 + 1113.94i 0.588850 + 0.151573i
\(379\) −7320.18 −0.992117 −0.496059 0.868289i \(-0.665220\pi\)
−0.496059 + 0.868289i \(0.665220\pi\)
\(380\) −2005.07 1157.63i −0.270678 0.156276i
\(381\) 5273.22 4053.22i 0.709068 0.545020i
\(382\) −549.339 951.483i −0.0735776 0.127440i
\(383\) −1594.48 + 2761.73i −0.212727 + 0.368453i −0.952567 0.304329i \(-0.901568\pi\)
0.739840 + 0.672783i \(0.234901\pi\)
\(384\) −4864.31 + 644.494i −0.646435 + 0.0856490i
\(385\) 5281.55 + 655.710i 0.699150 + 0.0868003i
\(386\) 2708.88i 0.357198i
\(387\) −155.301 + 583.451i −0.0203989 + 0.0766370i
\(388\) 1412.84 815.706i 0.184862 0.106730i
\(389\) 5822.56 3361.65i 0.758908 0.438156i −0.0699955 0.997547i \(-0.522298\pi\)
0.828904 + 0.559391i \(0.188965\pi\)
\(390\) 1844.41 + 762.191i 0.239475 + 0.0989617i
\(391\) 3439.58i 0.444877i
\(392\) −1881.33 + 7459.99i −0.242402 + 0.961190i
\(393\) −1591.39 12011.0i −0.204262 1.54166i
\(394\) −280.281 + 485.461i −0.0358385 + 0.0620740i
\(395\) −877.612 1520.07i −0.111791 0.193628i
\(396\) −5523.56 + 5541.87i −0.700933 + 0.703257i
\(397\) 10725.6 + 6192.45i 1.35593 + 0.782847i 0.989072 0.147430i \(-0.0471002\pi\)
0.366858 + 0.930277i \(0.380434\pi\)
\(398\) −1045.61 −0.131688
\(399\) −72.5383 8837.27i −0.00910140 1.10881i
\(400\) 44.0579 0.00550724
\(401\) 2395.94 + 1383.30i 0.298373 + 0.172266i 0.641712 0.766946i \(-0.278224\pi\)
−0.343339 + 0.939212i \(0.611558\pi\)
\(402\) −4531.37 5895.29i −0.562199 0.731418i
\(403\) 3184.52 + 5515.75i 0.393628 + 0.681784i
\(404\) −440.235 + 762.510i −0.0542142 + 0.0939017i
\(405\) 3150.61 1832.94i 0.386556 0.224887i
\(406\) −4664.61 3524.89i −0.570199 0.430880i
\(407\) 13208.7i 1.60868i
\(408\) 4886.81 11825.5i 0.592973 1.43492i
\(409\) −5568.92 + 3215.22i −0.673265 + 0.388710i −0.797313 0.603567i \(-0.793746\pi\)
0.124048 + 0.992276i \(0.460412\pi\)
\(410\) −1383.30 + 798.651i −0.166626 + 0.0962013i
\(411\) 3549.08 8588.32i 0.425944 1.03073i
\(412\) 5284.33i 0.631894i
\(413\) 7836.09 3313.78i 0.933628 0.394819i
\(414\) −1404.63 + 378.861i −0.166748 + 0.0449759i
\(415\) −2166.49 + 3752.48i −0.256263 + 0.443860i
\(416\) −4075.00 7058.11i −0.480272 0.831856i
\(417\) 4155.89 + 5406.79i 0.488045 + 0.634944i
\(418\) −7861.05 4538.58i −0.919848 0.531075i
\(419\) −2189.52 −0.255287 −0.127643 0.991820i \(-0.540741\pi\)
−0.127643 + 0.991820i \(0.540741\pi\)
\(420\) 1230.30 + 2091.11i 0.142934 + 0.242942i
\(421\) −8738.82 −1.01165 −0.505825 0.862636i \(-0.668812\pi\)
−0.505825 + 0.862636i \(0.668812\pi\)
\(422\) 4937.85 + 2850.87i 0.569600 + 0.328858i
\(423\) 4456.36 + 4441.64i 0.512236 + 0.510543i
\(424\) −5181.22 8974.13i −0.593448 1.02788i
\(425\) −1372.30 + 2376.89i −0.156627 + 0.271285i
\(426\) 553.149 + 4174.89i 0.0629112 + 0.474821i
\(427\) −3205.21 + 4241.57i −0.363258 + 0.480712i
\(428\) 7831.99i 0.884517i
\(429\) −12327.4 5094.24i −1.38735 0.573315i
\(430\) 166.528 96.1448i 0.0186760 0.0107826i
\(431\) 3823.61 2207.56i 0.427324 0.246716i −0.270882 0.962613i \(-0.587315\pi\)
0.698206 + 0.715897i \(0.253982\pi\)
\(432\) −245.210 31.6635i −0.0273094 0.00352641i
\(433\) 10561.3i 1.17215i −0.810255 0.586077i \(-0.800671\pi\)
0.810255 0.586077i \(-0.199329\pi\)
\(434\) 559.590 4507.33i 0.0618922 0.498523i
\(435\) −4727.73 + 626.398i −0.521098 + 0.0690425i
\(436\) −1385.21 + 2399.26i −0.152155 + 0.263540i
\(437\) 1438.60 + 2491.73i 0.157477 + 0.272758i
\(438\) −3837.34 + 2949.54i −0.418619 + 0.321769i
\(439\) 7929.27 + 4577.96i 0.862057 + 0.497709i 0.864701 0.502287i \(-0.167508\pi\)
−0.00264332 + 0.999997i \(0.500841\pi\)
\(440\) 6445.68 0.698377
\(441\) −4498.22 + 8095.19i −0.485717 + 0.874116i
\(442\) 8432.96 0.907500
\(443\) −2931.50 1692.50i −0.314402 0.181520i 0.334493 0.942398i \(-0.391435\pi\)
−0.648894 + 0.760878i \(0.724768\pi\)
\(444\) −4774.11 + 3669.59i −0.510291 + 0.392232i
\(445\) 2598.06 + 4499.98i 0.276764 + 0.479369i
\(446\) −3949.16 + 6840.15i −0.419278 + 0.726212i
\(447\) −4435.06 + 587.621i −0.469287 + 0.0621779i
\(448\) −683.898 + 5508.59i −0.0721231 + 0.580930i
\(449\) 8544.40i 0.898074i 0.893513 + 0.449037i \(0.148233\pi\)
−0.893513 + 0.449037i \(0.851767\pi\)
\(450\) −1121.81 298.600i −0.117517 0.0312803i
\(451\) 9245.55 5337.92i 0.965312 0.557323i
\(452\) −4982.61 + 2876.71i −0.518500 + 0.299356i
\(453\) −15251.6 6302.65i −1.58186 0.653696i
\(454\) 8354.09i 0.863605i
\(455\) −2493.53 + 3299.78i −0.256920 + 0.339991i
\(456\) −1405.84 10610.6i −0.144374 1.08966i
\(457\) 7508.15 13004.5i 0.768526 1.33113i −0.169836 0.985472i \(-0.554324\pi\)
0.938362 0.345654i \(-0.112343\pi\)
\(458\) 4600.71 + 7968.66i 0.469382 + 0.812993i
\(459\) 9345.95 12242.7i 0.950395 1.24497i
\(460\) −684.055 394.939i −0.0693353 0.0400308i
\(461\) −5195.83 −0.524932 −0.262466 0.964941i \(-0.584536\pi\)
−0.262466 + 0.964941i \(0.584536\pi\)
\(462\) 4823.49 + 8198.38i 0.485734 + 0.825592i
\(463\) 5865.44 0.588748 0.294374 0.955690i \(-0.404889\pi\)
0.294374 + 0.955690i \(0.404889\pi\)
\(464\) 280.152 + 161.746i 0.0280296 + 0.0161829i
\(465\) −2257.77 2937.35i −0.225165 0.292938i
\(466\) 1118.39 + 1937.11i 0.111177 + 0.192564i
\(467\) 1055.99 1829.02i 0.104637 0.181236i −0.808953 0.587873i \(-0.799965\pi\)
0.913590 + 0.406637i \(0.133299\pi\)
\(468\) −1583.50 5870.83i −0.156405 0.579870i
\(469\) 14192.9 6002.01i 1.39738 0.590932i
\(470\) 2003.85i 0.196661i
\(471\) 2327.79 5632.95i 0.227726 0.551068i
\(472\) 8923.64 5152.07i 0.870220 0.502422i
\(473\) −1113.02 + 642.600i −0.108196 + 0.0624668i
\(474\) 1198.11 2899.27i 0.116099 0.280945i
\(475\) 2295.85i 0.221770i
\(476\) 8179.34 + 6180.85i 0.787604 + 0.595166i
\(477\) −3248.34 12043.2i −0.311806 1.15602i
\(478\) 1505.63 2607.82i 0.144071 0.249538i
\(479\) 2712.63 + 4698.41i 0.258754 + 0.448175i 0.965908 0.258884i \(-0.0833549\pi\)
−0.707155 + 0.707059i \(0.750022\pi\)
\(480\) 2889.11 + 3758.72i 0.274728 + 0.357419i
\(481\) −8889.69 5132.46i −0.842692 0.486528i
\(482\) 3663.01 0.346152
\(483\) −24.7474 3014.95i −0.00233136 0.284027i
\(484\) −9944.20 −0.933903
\(485\) −1401.01 808.871i −0.131168 0.0757298i
\(486\) 6029.00 + 2468.12i 0.562718 + 0.230363i
\(487\) 5094.94 + 8824.69i 0.474073 + 0.821119i 0.999559 0.0296831i \(-0.00944980\pi\)
−0.525486 + 0.850802i \(0.676116\pi\)
\(488\) −3219.40 + 5576.17i −0.298638 + 0.517256i
\(489\) −581.017 4385.22i −0.0537311 0.405535i
\(490\) 2837.40 805.350i 0.261593 0.0742490i
\(491\) 5998.74i 0.551364i 0.961249 + 0.275682i \(0.0889036\pi\)
−0.961249 + 0.275682i \(0.911096\pi\)
\(492\) 4497.87 + 1858.72i 0.412153 + 0.170320i
\(493\) −17452.2 + 10076.0i −1.59433 + 0.920490i
\(494\) 6109.07 3527.07i 0.556397 0.321236i
\(495\) 7497.82 + 1995.74i 0.680812 + 0.181216i
\(496\) 251.303i 0.0227496i
\(497\) −8661.37 1075.32i −0.781722 0.0970516i
\(498\) −7677.16 + 1017.18i −0.690807 + 0.0915281i
\(499\) −10781.9 + 18674.7i −0.967259 + 1.67534i −0.263841 + 0.964566i \(0.584989\pi\)
−0.703418 + 0.710776i \(0.748344\pi\)
\(500\) −315.141 545.840i −0.0281870 0.0488214i
\(501\) −8090.04 + 6218.35i −0.721430 + 0.554522i
\(502\) −617.785 356.679i −0.0549265 0.0317118i
\(503\) 518.980 0.0460043 0.0230021 0.999735i \(-0.492678\pi\)
0.0230021 + 0.999735i \(0.492678\pi\)
\(504\) −4198.43 + 10400.7i −0.371058 + 0.919217i
\(505\) 873.093 0.0769349
\(506\) −2681.90 1548.40i −0.235623 0.136037i
\(507\) −832.612 + 639.981i −0.0729341 + 0.0560603i
\(508\) 3226.99 + 5589.31i 0.281840 + 0.488160i
\(509\) −7798.66 + 13507.7i −0.679115 + 1.17626i 0.296133 + 0.955147i \(0.404303\pi\)
−0.975248 + 0.221115i \(0.929030\pi\)
\(510\) −4862.87 + 644.303i −0.422219 + 0.0559416i
\(511\) −3906.81 9238.43i −0.338214 0.799773i
\(512\) 637.807i 0.0550534i
\(513\) 1649.98 12777.9i 0.142005 1.09972i
\(514\) −659.567 + 380.801i −0.0565998 + 0.0326779i
\(515\) 4538.01 2620.02i 0.388289 0.224179i
\(516\) −541.472 223.760i −0.0461956 0.0190901i
\(517\) 13393.1i 1.13932i
\(518\) 2851.16 + 6742.13i 0.241839 + 0.571877i
\(519\) 132.722 + 1001.72i 0.0112251 + 0.0847214i
\(520\) −2504.57 + 4338.05i −0.211217 + 0.365838i
\(521\) 10040.4 + 17390.5i 0.844298 + 1.46237i 0.886230 + 0.463246i \(0.153315\pi\)
−0.0419318 + 0.999120i \(0.513351\pi\)
\(522\) −6037.08 6017.13i −0.506199 0.504526i
\(523\) −17771.4 10260.3i −1.48583 0.857844i −0.485960 0.873981i \(-0.661530\pi\)
−0.999870 + 0.0161368i \(0.994863\pi\)
\(524\) 11757.1 0.980174
\(525\) 1185.78 2093.33i 0.0985750 0.174020i
\(526\) 8564.97 0.709982
\(527\) −13557.6 7827.49i −1.12064 0.647003i
\(528\) −320.735 417.275i −0.0264360 0.0343931i
\(529\) −5592.70 9686.85i −0.459662 0.796157i
\(530\) −1986.32 + 3440.41i −0.162793 + 0.281965i
\(531\) 11975.5 3230.07i 0.978703 0.263979i
\(532\) 8510.47 + 1056.59i 0.693564 + 0.0861067i
\(533\) 8296.53i 0.674226i
\(534\) −3546.85 + 8582.94i −0.287429 + 0.695543i
\(535\) −6725.86 + 3883.18i −0.543522 + 0.313803i
\(536\) 16162.8 9331.57i 1.30247 0.751983i
\(537\) −9398.28 + 22742.7i −0.755243 + 1.82759i
\(538\) 2387.07i 0.191290i
\(539\) −18964.2 + 5382.69i −1.51549 + 0.430147i
\(540\) 1361.68 + 3264.43i 0.108513 + 0.260146i
\(541\) 2325.89 4028.56i 0.184839 0.320150i −0.758683 0.651460i \(-0.774157\pi\)
0.943522 + 0.331309i \(0.107490\pi\)
\(542\) 567.149 + 982.331i 0.0449468 + 0.0778501i
\(543\) 9385.52 + 12210.5i 0.741752 + 0.965016i
\(544\) 17348.7 + 10016.3i 1.36732 + 0.789420i
\(545\) 2747.21 0.215922
\(546\) −7391.89 + 60.6743i −0.579384 + 0.00475571i
\(547\) 2762.10 0.215903 0.107951 0.994156i \(-0.465571\pi\)
0.107951 + 0.994156i \(0.465571\pi\)
\(548\) 7809.40 + 4508.76i 0.608761 + 0.351468i
\(549\) −5471.43 + 5489.57i −0.425346 + 0.426756i
\(550\) −1235.54 2140.02i −0.0957883 0.165910i
\(551\) −8428.57 + 14598.7i −0.651668 + 1.12872i
\(552\) −479.623 3619.95i −0.0369821 0.279122i
\(553\) 5187.01 + 3919.65i 0.398868 + 0.301411i
\(554\) 9350.36i 0.717074i
\(555\) 5518.38 + 2280.44i 0.422058 + 0.174413i
\(556\) −5730.89 + 3308.73i −0.437130 + 0.252377i
\(557\) −7775.02 + 4488.91i −0.591451 + 0.341474i −0.765671 0.643233i \(-0.777593\pi\)
0.174220 + 0.984707i \(0.444260\pi\)
\(558\) 1703.19 6398.72i 0.129215 0.485447i
\(559\) 998.770i 0.0755697i
\(560\) −150.305 + 63.5622i −0.0113421 + 0.00479642i
\(561\) 32501.8 4306.31i 2.44604 0.324087i
\(562\) −2862.63 + 4958.22i −0.214862 + 0.372153i
\(563\) −8779.23 15206.1i −0.657194 1.13829i −0.981339 0.192286i \(-0.938410\pi\)
0.324145 0.946007i \(-0.394923\pi\)
\(564\) −4840.73 + 3720.79i −0.361404 + 0.277790i
\(565\) 4940.86 + 2852.60i 0.367900 + 0.212407i
\(566\) 10987.5 0.815970
\(567\) −8104.08 + 10798.5i −0.600246 + 0.799816i
\(568\) −10570.5 −0.780857
\(569\) −9424.90 5441.47i −0.694398 0.400911i 0.110860 0.993836i \(-0.464640\pi\)
−0.805257 + 0.592925i \(0.797973\pi\)
\(570\) −3253.32 + 2500.64i −0.239064 + 0.183755i
\(571\) −3875.05 6711.78i −0.284003 0.491907i 0.688364 0.725365i \(-0.258329\pi\)
−0.972367 + 0.233458i \(0.924996\pi\)
\(572\) 6471.73 11209.4i 0.473071 0.819384i
\(573\) 3290.73 436.004i 0.239917 0.0317876i
\(574\) 3566.99 4720.32i 0.259378 0.343244i
\(575\) 783.260i 0.0568073i
\(576\) −2081.54 + 7820.14i −0.150574 + 0.565693i
\(577\) −5455.78 + 3149.90i −0.393635 + 0.227265i −0.683734 0.729731i \(-0.739645\pi\)
0.290099 + 0.956997i \(0.406312\pi\)
\(578\) −10633.6 + 6139.32i −0.765226 + 0.441803i
\(579\) −7564.06 3125.81i −0.542922 0.224359i
\(580\) 4627.80i 0.331308i
\(581\) 1977.40 15927.3i 0.141198 1.13731i
\(582\) −379.770 2866.31i −0.0270480 0.204145i
\(583\) 13275.9 22994.5i 0.943108 1.63351i
\(584\) −6074.08 10520.6i −0.430389 0.745456i
\(585\) −4256.56 + 4270.68i −0.300833 + 0.301830i
\(586\) −9696.08 5598.03i −0.683518 0.394629i
\(587\) −5755.97 −0.404727 −0.202363 0.979311i \(-0.564862\pi\)
−0.202363 + 0.979311i \(0.564862\pi\)
\(588\) −7214.04 5358.96i −0.505956 0.375850i
\(589\) −13095.3 −0.916102
\(590\) −3421.05 1975.14i −0.238716 0.137823i
\(591\) −1032.14 1342.81i −0.0718388 0.0934619i
\(592\) −202.511 350.760i −0.0140594 0.0243516i
\(593\) 4828.15 8362.60i 0.334348 0.579108i −0.649011 0.760779i \(-0.724817\pi\)
0.983359 + 0.181671i \(0.0581506\pi\)
\(594\) 5338.57 + 12798.5i 0.368762 + 0.884056i
\(595\) 1252.52 10088.7i 0.0862999 0.695119i
\(596\) 4341.32i 0.298368i
\(597\) 1206.54 2919.68i 0.0827144 0.200158i
\(598\) 2084.19 1203.31i 0.142523 0.0822859i
\(599\) −13639.2 + 7874.61i −0.930356 + 0.537141i −0.886924 0.461915i \(-0.847163\pi\)
−0.0434321 + 0.999056i \(0.513829\pi\)
\(600\) 1112.82 2692.89i 0.0757180 0.183228i
\(601\) 11309.8i 0.767612i 0.923414 + 0.383806i \(0.125387\pi\)
−0.923414 + 0.383806i \(0.874613\pi\)
\(602\) −429.408 + 568.251i −0.0290721 + 0.0384721i
\(603\) 21690.3 5850.40i 1.46484 0.395102i
\(604\) 8006.90 13868.4i 0.539398 0.934264i
\(605\) 4930.44 + 8539.77i 0.331324 + 0.573869i
\(606\) 950.972 + 1237.21i 0.0637469 + 0.0829344i
\(607\) 3.66243 + 2.11451i 0.000244899 + 0.000141392i 0.500122 0.865955i \(-0.333288\pi\)
−0.499878 + 0.866096i \(0.666622\pi\)
\(608\) 16757.2 1.11775
\(609\) 15225.2 8957.67i 1.01306 0.596032i
\(610\) 2468.44 0.163843
\(611\) −9013.74 5204.09i −0.596820 0.344574i
\(612\) 10586.0 + 10551.0i 0.699202 + 0.696892i
\(613\) 10682.8 + 18503.2i 0.703876 + 1.21915i 0.967096 + 0.254413i \(0.0818822\pi\)
−0.263220 + 0.964736i \(0.584784\pi\)
\(614\) 2273.10 3937.12i 0.149405 0.258777i
\(615\) −633.879 4784.20i −0.0415618 0.313687i
\(616\) −21989.7 + 9299.17i −1.43830 + 0.608237i
\(617\) 28128.0i 1.83532i −0.397369 0.917659i \(-0.630077\pi\)
0.397369 0.917659i \(-0.369923\pi\)
\(618\) 8655.49 + 3576.83i 0.563390 + 0.232818i
\(619\) 13355.4 7710.75i 0.867204 0.500681i 0.000786155 1.00000i \(-0.499750\pi\)
0.866418 + 0.499319i \(0.166416\pi\)
\(620\) 3113.43 1797.54i 0.201674 0.116437i
\(621\) 562.912 4359.34i 0.0363750 0.281698i
\(622\) 4804.64i 0.309724i
\(623\) −15355.5 11603.6i −0.987489 0.746212i
\(624\) 405.459 53.7211i 0.0260118 0.00344642i
\(625\) −312.500 + 541.266i −0.0200000 + 0.0346410i
\(626\) −5605.77 9709.49i −0.357910 0.619919i
\(627\) 21744.1 16713.5i 1.38497 1.06455i
\(628\) 5122.07 + 2957.23i 0.325466 + 0.187908i
\(629\) 25231.0 1.59941
\(630\) 4257.90 599.750i 0.269268 0.0379279i
\(631\) −15008.7 −0.946886 −0.473443 0.880824i \(-0.656989\pi\)
−0.473443 + 0.880824i \(0.656989\pi\)
\(632\) 6819.09 + 3937.00i 0.429191 + 0.247794i
\(633\) −13658.4 + 10498.4i −0.857618 + 0.659202i
\(634\) −2639.15 4571.15i −0.165322 0.286346i
\(635\) 3199.95 5542.47i 0.199978 0.346372i
\(636\) 11999.3 1589.84i 0.748118 0.0991215i
\(637\) 3746.21 14854.8i 0.233015 0.923967i
\(638\) 18143.7i 1.12589i
\(639\) −12295.9 3272.88i −0.761218 0.202618i
\(640\) −4089.02 + 2360.80i −0.252551 + 0.145810i
\(641\) −5560.90 + 3210.59i −0.342656 + 0.197832i −0.661446 0.749993i \(-0.730057\pi\)
0.318790 + 0.947825i \(0.396723\pi\)
\(642\) −12828.4 5301.28i −0.788627 0.325896i
\(643\) 1853.26i 0.113663i −0.998384 0.0568316i \(-0.981900\pi\)
0.998384 0.0568316i \(-0.0180998\pi\)
\(644\) 2903.46 + 360.468i 0.177659 + 0.0220566i
\(645\) 76.3090 + 575.941i 0.00465839 + 0.0351592i
\(646\) −8669.49 + 15016.0i −0.528013 + 0.914546i
\(647\) −807.258 1398.21i −0.0490519 0.0849604i 0.840457 0.541878i \(-0.182287\pi\)
−0.889509 + 0.456918i \(0.848953\pi\)
\(648\) −8128.89 + 14187.9i −0.492798 + 0.860113i
\(649\) 22865.2 + 13201.2i 1.38295 + 0.798449i
\(650\) 1920.35 0.115881
\(651\) 11940.2 + 6763.62i 0.718853 + 0.407200i
\(652\) 4292.53 0.257835
\(653\) 23827.4 + 13756.8i 1.42793 + 0.824416i 0.996957 0.0779494i \(-0.0248373\pi\)
0.430973 + 0.902365i \(0.358171\pi\)
\(654\) 2992.26 + 3892.91i 0.178909 + 0.232760i
\(655\) −5829.29 10096.6i −0.347739 0.602302i
\(656\) −163.678 + 283.498i −0.00974169 + 0.0168731i
\(657\) −3808.12 14118.6i −0.226132 0.838385i
\(658\) 2890.95 + 6836.21i 0.171278 + 0.405020i
\(659\) 26973.3i 1.59443i −0.603694 0.797216i \(-0.706305\pi\)
0.603694 0.797216i \(-0.293695\pi\)
\(660\) −2875.50 + 6958.35i −0.169589 + 0.410384i
\(661\) 2260.12 1304.88i 0.132993 0.0767837i −0.432027 0.901861i \(-0.642202\pi\)
0.565021 + 0.825077i \(0.308868\pi\)
\(662\) 9151.18 5283.44i 0.537267 0.310191i
\(663\) −9730.89 + 23547.5i −0.570010 + 1.37935i
\(664\) 19437.9i 1.13605i
\(665\) −3312.22 7832.39i −0.193146 0.456733i
\(666\) 2779.13 + 10303.6i 0.161696 + 0.599486i
\(667\) −2875.52 + 4980.54i −0.166927 + 0.289126i
\(668\) −4950.77 8574.98i −0.286753 0.496671i
\(669\) −14542.9 18920.2i −0.840450 1.09342i
\(670\) −6196.31 3577.44i −0.357290 0.206281i
\(671\) −16498.2 −0.949191
\(672\) −15279.0 8654.92i −0.877085 0.496831i
\(673\) −1477.40 −0.0846206 −0.0423103 0.999105i \(-0.513472\pi\)
−0.0423103 + 0.999105i \(0.513472\pi\)
\(674\) 6694.61 + 3865.13i 0.382592 + 0.220889i
\(675\) 2128.26 2787.90i 0.121358 0.158972i
\(676\) −509.524 882.522i −0.0289898 0.0502117i
\(677\) −8237.90 + 14268.5i −0.467664 + 0.810017i −0.999317 0.0369447i \(-0.988237\pi\)
0.531654 + 0.846962i \(0.321571\pi\)
\(678\) 1339.31 + 10108.5i 0.0758644 + 0.572586i
\(679\) 5946.55 + 738.270i 0.336093 + 0.0417264i
\(680\) 12312.4i 0.694351i
\(681\) 23327.3 + 9639.87i 1.31263 + 0.542439i
\(682\) 12206.5 7047.41i 0.685352 0.395688i
\(683\) −372.803 + 215.238i −0.0208857 + 0.0120583i −0.510406 0.859933i \(-0.670505\pi\)
0.489521 + 0.871992i \(0.337172\pi\)
\(684\) 12081.7 + 3215.86i 0.675373 + 0.179768i
\(685\) 8941.95i 0.498766i
\(686\) −8518.02 + 6840.99i −0.474081 + 0.380744i
\(687\) −27559.9 + 3651.53i −1.53053 + 0.202787i
\(688\) 19.7042 34.1287i 0.00109188 0.00189120i
\(689\) 10317.1 + 17869.8i 0.570466 + 0.988077i
\(690\) −1109.91 + 853.127i −0.0612372 + 0.0470695i
\(691\) 7713.33 + 4453.29i 0.424644 + 0.245168i 0.697062 0.717011i \(-0.254490\pi\)
−0.272418 + 0.962179i \(0.587823\pi\)
\(692\) −980.541 −0.0538650
\(693\) −28458.4 + 4008.53i −1.55995 + 0.219728i
\(694\) 5959.68 0.325974
\(695\) 5682.87 + 3281.01i 0.310163 + 0.179073i
\(696\) 16962.3 13038.0i 0.923787 0.710062i
\(697\) −10196.4 17660.6i −0.554110 0.959747i
\(698\) 4127.71 7149.40i 0.223834 0.387692i
\(699\) −6699.57 + 887.655i −0.362519 + 0.0480318i
\(700\) 1862.60 + 1407.50i 0.100571 + 0.0759980i
\(701\) 17716.9i 0.954579i −0.878746 0.477289i \(-0.841619\pi\)
0.878746 0.477289i \(-0.158381\pi\)
\(702\) −10688.0 1380.12i −0.574632 0.0742011i
\(703\) 18278.0 10552.8i 0.980611 0.566156i
\(704\) −14918.0 + 8612.93i −0.798643 + 0.461097i
\(705\) 5595.39 + 2312.26i 0.298914 + 0.123525i
\(706\) 13659.3i 0.728153i
\(707\) −2978.59 + 1259.61i −0.158446 + 0.0670049i
\(708\) 1580.90 + 11931.8i 0.0839177 + 0.633368i
\(709\) −17844.9 + 30908.2i −0.945245 + 1.63721i −0.189984 + 0.981787i \(0.560844\pi\)
−0.755261 + 0.655425i \(0.772490\pi\)
\(710\) 2026.20 + 3509.48i 0.107101 + 0.185505i
\(711\) 6713.19 + 6691.00i 0.354099 + 0.352929i
\(712\) −20187.1 11655.0i −1.06256 0.613469i
\(713\) −4467.65 −0.234663
\(714\) 15660.4 9213.72i 0.820832 0.482934i
\(715\) −12835.0 −0.671332
\(716\) −20680.0 11939.6i −1.07940 0.623190i
\(717\) 5544.52 + 7213.39i 0.288792 + 0.375717i
\(718\) 9539.13 + 16522.2i 0.495818 + 0.858781i
\(719\) 182.576 316.231i 0.00947001 0.0164025i −0.861252 0.508179i \(-0.830319\pi\)
0.870722 + 0.491776i \(0.163652\pi\)
\(720\) −229.704 + 61.9565i −0.0118897 + 0.00320692i
\(721\) −11701.7 + 15485.3i −0.604432 + 0.799865i
\(722\) 2707.83i 0.139577i
\(723\) −4226.79 + 10228.3i −0.217422 + 0.526133i
\(724\) −12942.5 + 7472.33i −0.664368 + 0.383573i
\(725\) −3974.21 + 2294.51i −0.203584 + 0.117539i
\(726\) −6730.99 + 16288.2i −0.344091 + 0.832658i
\(727\) 20316.5i 1.03645i 0.855245 + 0.518225i \(0.173407\pi\)
−0.855245 + 0.518225i \(0.826593\pi\)
\(728\) 2285.97 18412.8i 0.116379 0.937394i
\(729\) −13848.7 + 13986.9i −0.703587 + 0.710609i
\(730\) −2328.62 + 4033.28i −0.118063 + 0.204491i
\(731\) 1227.48 + 2126.06i 0.0621067 + 0.107572i
\(732\) −4583.46 5963.06i −0.231434 0.301094i
\(733\) −8355.35 4823.97i −0.421026 0.243079i 0.274490 0.961590i \(-0.411491\pi\)
−0.695516 + 0.718510i \(0.744824\pi\)
\(734\) −7330.54 −0.368631
\(735\) −1025.31 + 8852.22i −0.0514545 + 0.444244i
\(736\) 5716.94 0.286317
\(737\) 41414.1 + 23910.4i 2.06989 + 1.19505i
\(738\) 6089.00 6109.18i 0.303711 0.304718i
\(739\) 13850.5 + 23989.8i 0.689446 + 1.19416i 0.972017 + 0.234909i \(0.0754792\pi\)
−0.282572 + 0.959246i \(0.591187\pi\)
\(740\) −2897.08 + 5017.88i −0.143917 + 0.249272i
\(741\) 2799.40 + 21128.4i 0.138783 + 1.04747i
\(742\) 1812.95 14602.7i 0.0896973 0.722485i
\(743\) 28617.3i 1.41301i 0.707709 + 0.706504i \(0.249729\pi\)
−0.707709 + 0.706504i \(0.750271\pi\)
\(744\) 15360.0 + 6347.45i 0.756890 + 0.312781i
\(745\) −3728.19 + 2152.47i −0.183343 + 0.105853i
\(746\) −3116.67 + 1799.41i −0.152962 + 0.0883124i
\(747\) 6018.47 22610.8i 0.294785 1.10748i
\(748\) 31814.8i 1.55517i
\(749\) 17343.3 22951.0i 0.846076 1.11964i
\(750\) −1107.37 + 146.721i −0.0539140 + 0.00714331i
\(751\) 13096.8 22684.3i 0.636362 1.10221i −0.349862 0.936801i \(-0.613772\pi\)
0.986225 0.165411i \(-0.0528950\pi\)
\(752\) −205.337 355.655i −0.00995729 0.0172465i
\(753\) 1708.83 1313.48i 0.0827002 0.0635669i
\(754\) 12211.0 + 7050.03i 0.589786 + 0.340513i
\(755\) −15879.6 −0.765455
\(756\) −9355.00 9172.26i −0.450050 0.441259i
\(757\) 31415.1 1.50832 0.754162 0.656689i \(-0.228044\pi\)
0.754162 + 0.656689i \(0.228044\pi\)
\(758\) −10902.7 6294.66i −0.522431 0.301626i
\(759\) 7418.30 5702.02i 0.354766 0.272688i
\(760\) −5149.64 8919.44i −0.245786 0.425713i
\(761\) −5159.76 + 8936.96i −0.245783 + 0.425709i −0.962352 0.271808i \(-0.912378\pi\)
0.716568 + 0.697517i \(0.245712\pi\)
\(762\) 11339.3 1502.40i 0.539081 0.0714252i
\(763\) −9372.21 + 3963.39i −0.444688 + 0.188053i
\(764\) 3221.18i 0.152537i
\(765\) 3812.22 14322.2i 0.180171 0.676888i
\(766\) −4749.65 + 2742.21i −0.224036 + 0.129347i
\(767\) −17769.3 + 10259.1i −0.836520 + 0.482965i
\(768\) −19313.8 7981.31i −0.907455 0.375001i
\(769\) 13235.4i 0.620652i 0.950630 + 0.310326i \(0.100438\pi\)
−0.950630 + 0.310326i \(0.899562\pi\)
\(770\) 7302.49 + 5518.25i 0.341771 + 0.258265i
\(771\) −302.238 2281.13i −0.0141178 0.106554i
\(772\) 3971.03