Properties

Label 63.4.h.a.25.17
Level $63$
Weight $4$
Character 63.25
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 25.17
Character \(\chi\) \(=\) 63.25
Dual form 63.4.h.a.58.17

$q$-expansion

\(f(q)\) \(=\) \(q+3.35315 q^{2} +(3.94919 - 3.37697i) q^{3} +3.24362 q^{4} +(4.35326 - 7.54007i) q^{5} +(13.2422 - 11.3235i) q^{6} +(-2.88142 + 18.2947i) q^{7} -15.9489 q^{8} +(4.19213 - 26.6726i) q^{9} +O(q^{10})\) \(q+3.35315 q^{2} +(3.94919 - 3.37697i) q^{3} +3.24362 q^{4} +(4.35326 - 7.54007i) q^{5} +(13.2422 - 11.3235i) q^{6} +(-2.88142 + 18.2947i) q^{7} -15.9489 q^{8} +(4.19213 - 26.6726i) q^{9} +(14.5971 - 25.2830i) q^{10} +(5.89868 + 10.2168i) q^{11} +(12.8096 - 10.9536i) q^{12} +(26.5809 + 46.0395i) q^{13} +(-9.66183 + 61.3450i) q^{14} +(-8.27076 - 44.4779i) q^{15} -79.4279 q^{16} +(-22.5463 + 39.0513i) q^{17} +(14.0568 - 89.4371i) q^{18} +(-13.0906 - 22.6736i) q^{19} +(14.1203 - 24.4571i) q^{20} +(50.4016 + 81.9798i) q^{21} +(19.7792 + 34.2585i) q^{22} +(29.0940 - 50.3923i) q^{23} +(-62.9850 + 53.8589i) q^{24} +(24.5983 + 42.6055i) q^{25} +(89.1298 + 154.377i) q^{26} +(-73.5170 - 119.492i) q^{27} +(-9.34621 + 59.3411i) q^{28} +(36.7015 - 63.5688i) q^{29} +(-27.7331 - 149.141i) q^{30} -314.805 q^{31} -138.743 q^{32} +(57.7969 + 20.4284i) q^{33} +(-75.6011 + 130.945i) q^{34} +(125.400 + 101.368i) q^{35} +(13.5977 - 86.5156i) q^{36} +(-189.337 - 327.941i) q^{37} +(-43.8947 - 76.0279i) q^{38} +(260.447 + 92.0555i) q^{39} +(-69.4296 + 120.256i) q^{40} +(181.180 + 313.812i) q^{41} +(169.004 + 274.890i) q^{42} +(58.7824 - 101.814i) q^{43} +(19.1331 + 33.1394i) q^{44} +(-182.864 - 147.722i) q^{45} +(97.5565 - 168.973i) q^{46} +228.220 q^{47} +(-313.675 + 268.226i) q^{48} +(-326.395 - 105.430i) q^{49} +(82.4817 + 142.863i) q^{50} +(42.8357 + 230.359i) q^{51} +(86.2183 + 149.334i) q^{52} +(307.562 - 532.713i) q^{53} +(-246.514 - 400.673i) q^{54} +102.714 q^{55} +(45.9554 - 291.780i) q^{56} +(-128.265 - 45.3356i) q^{57} +(123.065 - 213.156i) q^{58} +576.660 q^{59} +(-26.8272 - 144.269i) q^{60} +446.281 q^{61} -1055.59 q^{62} +(475.888 + 153.549i) q^{63} +170.198 q^{64} +462.854 q^{65} +(193.802 + 68.4996i) q^{66} +297.702 q^{67} +(-73.1315 + 126.667i) q^{68} +(-55.2757 - 297.258i) q^{69} +(420.485 + 339.901i) q^{70} -866.428 q^{71} +(-66.8597 + 425.397i) q^{72} +(283.351 - 490.778i) q^{73} +(-634.874 - 1099.63i) q^{74} +(241.021 + 85.1892i) q^{75} +(-42.4608 - 73.5443i) q^{76} +(-203.911 + 78.4759i) q^{77} +(873.318 + 308.676i) q^{78} -366.794 q^{79} +(-345.770 + 598.891i) q^{80} +(-693.852 - 223.630i) q^{81} +(607.523 + 1052.26i) q^{82} +(-510.815 + 884.758i) q^{83} +(163.483 + 265.911i) q^{84} +(196.300 + 340.001i) q^{85} +(197.106 - 341.398i) q^{86} +(-69.7291 - 374.985i) q^{87} +(-94.0773 - 162.947i) q^{88} +(-247.021 - 427.852i) q^{89} +(-613.169 - 495.332i) q^{90} +(-918.871 + 353.632i) q^{91} +(94.3697 - 163.453i) q^{92} +(-1243.22 + 1063.09i) q^{93} +765.257 q^{94} -227.947 q^{95} +(-547.920 + 468.530i) q^{96} +(-76.3273 + 132.203i) q^{97} +(-1094.45 - 353.521i) q^{98} +(297.237 - 114.503i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} + O(q^{10}) \) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} - 18q^{10} + 5q^{11} - 62q^{12} - 14q^{13} - 52q^{14} + 119q^{15} + 494q^{16} - 162q^{17} - 188q^{18} + 58q^{19} - 362q^{20} - 59q^{21} - 18q^{22} - 93q^{23} + 30q^{24} - 349q^{25} - 266q^{26} + 272q^{27} - 172q^{28} + 248q^{29} + 85q^{30} - 122q^{31} + 326q^{32} + 77q^{33} + 6q^{34} + 289q^{35} - 806q^{36} - 86q^{37} - 761q^{38} - 256q^{39} - 18q^{40} - 692q^{41} - 364q^{42} - 86q^{43} - 443q^{44} + 527q^{45} - 270q^{46} + 2010q^{47} - 1013q^{48} + 317q^{49} + 239q^{50} + 1209q^{51} - 335q^{52} + 258q^{53} + 577q^{54} - 870q^{55} - 1752q^{56} + 566q^{57} + 237q^{58} + 3330q^{59} + 1669q^{60} - 878q^{61} + 1812q^{62} + 2872q^{63} + 872q^{64} + 1226q^{65} + 1330q^{66} - 590q^{67} - 1374q^{68} + 1389q^{69} + 1251q^{70} + 636q^{71} - 5970q^{72} - 338q^{73} + 1119q^{74} + 2737q^{75} + 1006q^{76} + 2269q^{77} + 157q^{78} - 266q^{79} - 4817q^{80} - 505q^{81} + 6q^{82} - 1356q^{83} - 6013q^{84} + 483q^{85} - 3343q^{86} - 5755q^{87} + 369q^{88} - 2200q^{89} + 2665q^{90} + 1552q^{91} - 396q^{92} - 129q^{93} + 2382q^{94} - 6166q^{95} - 5941q^{96} - 266q^{97} + 3601q^{98} - 5395q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.35315 1.18552 0.592759 0.805380i \(-0.298039\pi\)
0.592759 + 0.805380i \(0.298039\pi\)
\(3\) 3.94919 3.37697i 0.760021 0.649898i
\(4\) 3.24362 0.405452
\(5\) 4.35326 7.54007i 0.389367 0.674404i −0.602997 0.797743i \(-0.706027\pi\)
0.992365 + 0.123339i \(0.0393603\pi\)
\(6\) 13.2422 11.3235i 0.901018 0.770466i
\(7\) −2.88142 + 18.2947i −0.155582 + 0.987823i
\(8\) −15.9489 −0.704847
\(9\) 4.19213 26.6726i 0.155264 0.987873i
\(10\) 14.5971 25.2830i 0.461602 0.799518i
\(11\) 5.89868 + 10.2168i 0.161684 + 0.280044i 0.935473 0.353399i \(-0.114974\pi\)
−0.773789 + 0.633443i \(0.781641\pi\)
\(12\) 12.8096 10.9536i 0.308152 0.263503i
\(13\) 26.5809 + 46.0395i 0.567094 + 0.982235i 0.996852 + 0.0792910i \(0.0252656\pi\)
−0.429758 + 0.902944i \(0.641401\pi\)
\(14\) −9.66183 + 61.3450i −0.184445 + 1.17108i
\(15\) −8.27076 44.4779i −0.142367 0.765610i
\(16\) −79.4279 −1.24106
\(17\) −22.5463 + 39.0513i −0.321663 + 0.557137i −0.980831 0.194858i \(-0.937575\pi\)
0.659168 + 0.751996i \(0.270909\pi\)
\(18\) 14.0568 89.4371i 0.184068 1.17114i
\(19\) −13.0906 22.6736i −0.158062 0.273772i 0.776107 0.630601i \(-0.217191\pi\)
−0.934170 + 0.356828i \(0.883858\pi\)
\(20\) 14.1203 24.4571i 0.157870 0.273438i
\(21\) 50.4016 + 81.9798i 0.523739 + 0.851879i
\(22\) 19.7792 + 34.2585i 0.191679 + 0.331997i
\(23\) 29.0940 50.3923i 0.263762 0.456848i −0.703477 0.710718i \(-0.748370\pi\)
0.967238 + 0.253870i \(0.0817035\pi\)
\(24\) −62.9850 + 53.8589i −0.535699 + 0.458079i
\(25\) 24.5983 + 42.6055i 0.196786 + 0.340844i
\(26\) 89.1298 + 154.377i 0.672300 + 1.16446i
\(27\) −73.5170 119.492i −0.524013 0.851710i
\(28\) −9.34621 + 59.3411i −0.0630810 + 0.400515i
\(29\) 36.7015 63.5688i 0.235010 0.407049i −0.724266 0.689521i \(-0.757821\pi\)
0.959276 + 0.282472i \(0.0911544\pi\)
\(30\) −27.7331 149.141i −0.168778 0.907645i
\(31\) −314.805 −1.82389 −0.911947 0.410308i \(-0.865421\pi\)
−0.911947 + 0.410308i \(0.865421\pi\)
\(32\) −138.743 −0.766452
\(33\) 57.7969 + 20.4284i 0.304883 + 0.107762i
\(34\) −75.6011 + 130.945i −0.381337 + 0.660496i
\(35\) 125.400 + 101.368i 0.605613 + 0.489551i
\(36\) 13.5977 86.5156i 0.0629521 0.400535i
\(37\) −189.337 327.941i −0.841263 1.45711i −0.888827 0.458242i \(-0.848479\pi\)
0.0475640 0.998868i \(-0.484854\pi\)
\(38\) −43.8947 76.0279i −0.187386 0.324562i
\(39\) 260.447 + 92.0555i 1.06936 + 0.377966i
\(40\) −69.4296 + 120.256i −0.274444 + 0.475352i
\(41\) 181.180 + 313.812i 0.690134 + 1.19535i 0.971794 + 0.235833i \(0.0757819\pi\)
−0.281659 + 0.959515i \(0.590885\pi\)
\(42\) 169.004 + 274.890i 0.620902 + 1.00992i
\(43\) 58.7824 101.814i 0.208470 0.361081i −0.742762 0.669555i \(-0.766485\pi\)
0.951233 + 0.308474i \(0.0998182\pi\)
\(44\) 19.1331 + 33.1394i 0.0655549 + 0.113544i
\(45\) −182.864 147.722i −0.605771 0.489356i
\(46\) 97.5565 168.973i 0.312694 0.541602i
\(47\) 228.220 0.708284 0.354142 0.935192i \(-0.384773\pi\)
0.354142 + 0.935192i \(0.384773\pi\)
\(48\) −313.675 + 268.226i −0.943232 + 0.806563i
\(49\) −326.395 105.430i −0.951589 0.307375i
\(50\) 82.4817 + 142.863i 0.233293 + 0.404076i
\(51\) 42.8357 + 230.359i 0.117612 + 0.632484i
\(52\) 86.2183 + 149.334i 0.229929 + 0.398249i
\(53\) 307.562 532.713i 0.797112 1.38064i −0.124378 0.992235i \(-0.539694\pi\)
0.921490 0.388403i \(-0.126973\pi\)
\(54\) −246.514 400.673i −0.621227 1.00972i
\(55\) 102.714 0.251817
\(56\) 45.9554 291.780i 0.109661 0.696264i
\(57\) −128.265 45.3356i −0.298055 0.105348i
\(58\) 123.065 213.156i 0.278608 0.482564i
\(59\) 576.660 1.27245 0.636226 0.771502i \(-0.280494\pi\)
0.636226 + 0.771502i \(0.280494\pi\)
\(60\) −26.8272 144.269i −0.0577229 0.310418i
\(61\) 446.281 0.936729 0.468365 0.883535i \(-0.344843\pi\)
0.468365 + 0.883535i \(0.344843\pi\)
\(62\) −1055.59 −2.16226
\(63\) 475.888 + 153.549i 0.951687 + 0.307069i
\(64\) 170.198 0.332418
\(65\) 462.854 0.883231
\(66\) 193.802 + 68.4996i 0.361444 + 0.127753i
\(67\) 297.702 0.542838 0.271419 0.962461i \(-0.412507\pi\)
0.271419 + 0.962461i \(0.412507\pi\)
\(68\) −73.1315 + 126.667i −0.130419 + 0.225892i
\(69\) −55.2757 297.258i −0.0964407 0.518633i
\(70\) 420.485 + 339.901i 0.717965 + 0.580371i
\(71\) −866.428 −1.44825 −0.724127 0.689667i \(-0.757757\pi\)
−0.724127 + 0.689667i \(0.757757\pi\)
\(72\) −66.8597 + 425.397i −0.109437 + 0.696299i
\(73\) 283.351 490.778i 0.454297 0.786866i −0.544350 0.838858i \(-0.683224\pi\)
0.998648 + 0.0519920i \(0.0165570\pi\)
\(74\) −634.874 1099.63i −0.997332 1.72743i
\(75\) 241.021 + 85.1892i 0.371075 + 0.131157i
\(76\) −42.4608 73.5443i −0.0640867 0.111001i
\(77\) −203.911 + 78.4759i −0.301789 + 0.116145i
\(78\) 873.318 + 308.676i 1.26774 + 0.448085i
\(79\) −366.794 −0.522374 −0.261187 0.965288i \(-0.584114\pi\)
−0.261187 + 0.965288i \(0.584114\pi\)
\(80\) −345.770 + 598.891i −0.483228 + 0.836976i
\(81\) −693.852 223.630i −0.951786 0.306762i
\(82\) 607.523 + 1052.26i 0.818166 + 1.41711i
\(83\) −510.815 + 884.758i −0.675533 + 1.17006i 0.300779 + 0.953694i \(0.402753\pi\)
−0.976313 + 0.216364i \(0.930580\pi\)
\(84\) 163.483 + 265.911i 0.212351 + 0.345396i
\(85\) 196.300 + 340.001i 0.250490 + 0.433862i
\(86\) 197.106 341.398i 0.247145 0.428068i
\(87\) −69.7291 374.985i −0.0859281 0.462099i
\(88\) −94.0773 162.947i −0.113962 0.197388i
\(89\) −247.021 427.852i −0.294204 0.509576i 0.680596 0.732659i \(-0.261721\pi\)
−0.974799 + 0.223083i \(0.928388\pi\)
\(90\) −613.169 495.332i −0.718152 0.580140i
\(91\) −918.871 + 353.632i −1.05850 + 0.407370i
\(92\) 94.3697 163.453i 0.106943 0.185230i
\(93\) −1243.22 + 1063.09i −1.38620 + 1.18535i
\(94\) 765.257 0.839683
\(95\) −227.947 −0.246177
\(96\) −547.920 + 468.530i −0.582520 + 0.498116i
\(97\) −76.3273 + 132.203i −0.0798955 + 0.138383i −0.903205 0.429210i \(-0.858792\pi\)
0.823309 + 0.567593i \(0.192125\pi\)
\(98\) −1094.45 353.521i −1.12812 0.364398i
\(99\) 297.237 114.503i 0.301752 0.116242i
\(100\) 79.7874 + 138.196i 0.0797874 + 0.138196i
\(101\) 84.5039 + 146.365i 0.0832520 + 0.144197i 0.904645 0.426166i \(-0.140136\pi\)
−0.821393 + 0.570363i \(0.806803\pi\)
\(102\) 143.635 + 772.428i 0.139431 + 0.749821i
\(103\) −512.502 + 887.679i −0.490275 + 0.849181i −0.999937 0.0111935i \(-0.996437\pi\)
0.509663 + 0.860374i \(0.329770\pi\)
\(104\) −423.936 734.278i −0.399714 0.692326i
\(105\) 837.544 23.1518i 0.778437 0.0215180i
\(106\) 1031.30 1786.27i 0.944990 1.63677i
\(107\) 103.317 + 178.950i 0.0933461 + 0.161680i 0.908917 0.416977i \(-0.136910\pi\)
−0.815571 + 0.578657i \(0.803577\pi\)
\(108\) −238.461 387.585i −0.212462 0.345328i
\(109\) −678.634 + 1175.43i −0.596343 + 1.03290i 0.397013 + 0.917813i \(0.370047\pi\)
−0.993356 + 0.115083i \(0.963286\pi\)
\(110\) 344.415 0.298534
\(111\) −1855.17 655.714i −1.58635 0.560699i
\(112\) 228.865 1453.11i 0.193087 1.22595i
\(113\) 851.436 + 1474.73i 0.708817 + 1.22771i 0.965296 + 0.261158i \(0.0841043\pi\)
−0.256479 + 0.966550i \(0.582562\pi\)
\(114\) −430.092 152.017i −0.353349 0.124892i
\(115\) −253.307 438.741i −0.205400 0.355764i
\(116\) 119.045 206.193i 0.0952853 0.165039i
\(117\) 1339.42 515.978i 1.05837 0.407711i
\(118\) 1933.63 1.50852
\(119\) −649.468 525.001i −0.500308 0.404427i
\(120\) 131.909 + 709.373i 0.100347 + 0.539638i
\(121\) 595.911 1032.15i 0.447717 0.775468i
\(122\) 1496.45 1.11051
\(123\) 1775.25 + 627.465i 1.30137 + 0.459972i
\(124\) −1021.11 −0.739501
\(125\) 1516.65 1.08522
\(126\) 1595.73 + 514.872i 1.12824 + 0.364035i
\(127\) −2478.87 −1.73200 −0.866001 0.500042i \(-0.833318\pi\)
−0.866001 + 0.500042i \(0.833318\pi\)
\(128\) 1680.64 1.16054
\(129\) −111.681 600.589i −0.0762243 0.409914i
\(130\) 1552.02 1.04709
\(131\) 87.2102 151.053i 0.0581648 0.100744i −0.835477 0.549526i \(-0.814808\pi\)
0.893642 + 0.448781i \(0.148142\pi\)
\(132\) 187.471 + 66.2620i 0.123616 + 0.0436921i
\(133\) 452.526 174.157i 0.295030 0.113544i
\(134\) 998.241 0.643544
\(135\) −1221.01 + 34.1452i −0.778430 + 0.0217685i
\(136\) 359.588 622.824i 0.226723 0.392697i
\(137\) −1173.92 2033.30i −0.732081 1.26800i −0.955992 0.293392i \(-0.905216\pi\)
0.223911 0.974610i \(-0.428118\pi\)
\(138\) −185.348 996.750i −0.114332 0.614848i
\(139\) 218.286 + 378.082i 0.133200 + 0.230709i 0.924908 0.380190i \(-0.124141\pi\)
−0.791709 + 0.610899i \(0.790808\pi\)
\(140\) 406.749 + 328.798i 0.245547 + 0.198489i
\(141\) 901.284 770.693i 0.538311 0.460313i
\(142\) −2905.26 −1.71693
\(143\) −313.585 + 543.145i −0.183380 + 0.317623i
\(144\) −332.972 + 2118.55i −0.192692 + 1.22601i
\(145\) −319.542 553.463i −0.183010 0.316983i
\(146\) 950.118 1645.65i 0.538578 0.932844i
\(147\) −1645.03 + 685.865i −0.922990 + 0.384825i
\(148\) −614.135 1063.71i −0.341092 0.590788i
\(149\) −373.432 + 646.803i −0.205320 + 0.355625i −0.950235 0.311535i \(-0.899157\pi\)
0.744914 + 0.667160i \(0.232490\pi\)
\(150\) 808.178 + 285.652i 0.439916 + 0.155489i
\(151\) 633.434 + 1097.14i 0.341379 + 0.591285i 0.984689 0.174320i \(-0.0557729\pi\)
−0.643310 + 0.765605i \(0.722440\pi\)
\(152\) 208.780 + 361.618i 0.111410 + 0.192968i
\(153\) 947.082 + 765.075i 0.500438 + 0.404266i
\(154\) −683.743 + 263.142i −0.357776 + 0.137692i
\(155\) −1370.43 + 2373.65i −0.710165 + 1.23004i
\(156\) 844.790 + 298.593i 0.433573 + 0.153247i
\(157\) −1642.42 −0.834901 −0.417451 0.908700i \(-0.637076\pi\)
−0.417451 + 0.908700i \(0.637076\pi\)
\(158\) −1229.91 −0.619283
\(159\) −584.338 3142.41i −0.291453 1.56736i
\(160\) −603.983 + 1046.13i −0.298431 + 0.516898i
\(161\) 838.081 + 677.468i 0.410249 + 0.331627i
\(162\) −2326.59 749.864i −1.12836 0.363672i
\(163\) −248.421 430.277i −0.119373 0.206760i 0.800146 0.599805i \(-0.204755\pi\)
−0.919519 + 0.393045i \(0.871422\pi\)
\(164\) 587.677 + 1017.89i 0.279816 + 0.484656i
\(165\) 405.636 346.862i 0.191386 0.163656i
\(166\) −1712.84 + 2966.73i −0.800857 + 1.38712i
\(167\) 548.743 + 950.451i 0.254270 + 0.440408i 0.964697 0.263363i \(-0.0848316\pi\)
−0.710427 + 0.703771i \(0.751498\pi\)
\(168\) −803.848 1307.48i −0.369156 0.600444i
\(169\) −314.590 + 544.886i −0.143191 + 0.248014i
\(170\) 658.222 + 1140.07i 0.296961 + 0.514351i
\(171\) −659.640 + 254.109i −0.294994 + 0.113639i
\(172\) 190.667 330.246i 0.0845248 0.146401i
\(173\) 3413.84 1.50029 0.750143 0.661276i \(-0.229985\pi\)
0.750143 + 0.661276i \(0.229985\pi\)
\(174\) −233.812 1257.38i −0.101869 0.547826i
\(175\) −850.334 + 327.255i −0.367310 + 0.141361i
\(176\) −468.520 811.500i −0.200659 0.347552i
\(177\) 2277.34 1947.36i 0.967091 0.826965i
\(178\) −828.297 1434.65i −0.348784 0.604111i
\(179\) −134.237 + 232.506i −0.0560524 + 0.0970856i −0.892690 0.450671i \(-0.851185\pi\)
0.836638 + 0.547757i \(0.184518\pi\)
\(180\) −593.139 479.152i −0.245611 0.198410i
\(181\) 3168.33 1.30110 0.650552 0.759462i \(-0.274538\pi\)
0.650552 + 0.759462i \(0.274538\pi\)
\(182\) −3081.11 + 1185.78i −1.25488 + 0.482945i
\(183\) 1762.45 1507.08i 0.711934 0.608779i
\(184\) −464.016 + 803.700i −0.185912 + 0.322008i
\(185\) −3296.92 −1.31024
\(186\) −4168.72 + 3564.70i −1.64336 + 1.40525i
\(187\) −531.973 −0.208031
\(188\) 740.259 0.287175
\(189\) 2397.90 1000.67i 0.922866 0.385122i
\(190\) −764.340 −0.291848
\(191\) 2643.74 1.00154 0.500770 0.865580i \(-0.333050\pi\)
0.500770 + 0.865580i \(0.333050\pi\)
\(192\) 672.144 574.754i 0.252645 0.216038i
\(193\) 4176.77 1.55777 0.778887 0.627165i \(-0.215785\pi\)
0.778887 + 0.627165i \(0.215785\pi\)
\(194\) −255.937 + 443.296i −0.0947176 + 0.164056i
\(195\) 1827.90 1563.05i 0.671274 0.574011i
\(196\) −1058.70 341.973i −0.385823 0.124626i
\(197\) −1154.01 −0.417360 −0.208680 0.977984i \(-0.566917\pi\)
−0.208680 + 0.977984i \(0.566917\pi\)
\(198\) 996.680 383.945i 0.357732 0.137807i
\(199\) −2258.03 + 3911.02i −0.804360 + 1.39319i 0.112363 + 0.993667i \(0.464158\pi\)
−0.916722 + 0.399525i \(0.869175\pi\)
\(200\) −392.315 679.509i −0.138704 0.240243i
\(201\) 1175.68 1005.33i 0.412568 0.352789i
\(202\) 283.354 + 490.784i 0.0986967 + 0.170948i
\(203\) 1057.22 + 854.612i 0.365529 + 0.295478i
\(204\) 138.943 + 747.196i 0.0476859 + 0.256442i
\(205\) 3154.89 1.07486
\(206\) −1718.50 + 2976.52i −0.581229 + 1.00672i
\(207\) −1222.13 987.262i −0.410355 0.331495i
\(208\) −2111.27 3656.82i −0.703798 1.21901i
\(209\) 154.434 267.488i 0.0511122 0.0885289i
\(210\) 2808.41 77.6316i 0.922851 0.0255099i
\(211\) 139.232 + 241.157i 0.0454271 + 0.0786820i 0.887845 0.460143i \(-0.152202\pi\)
−0.842418 + 0.538825i \(0.818868\pi\)
\(212\) 997.614 1727.92i 0.323191 0.559782i
\(213\) −3421.68 + 2925.90i −1.10070 + 0.941218i
\(214\) 346.438 + 600.048i 0.110664 + 0.191675i
\(215\) −511.790 886.446i −0.162343 0.281187i
\(216\) 1172.51 + 1905.76i 0.369349 + 0.600325i
\(217\) 907.086 5759.28i 0.283765 1.80168i
\(218\) −2275.56 + 3941.39i −0.706975 + 1.22452i
\(219\) −538.339 2895.04i −0.166108 0.893282i
\(220\) 333.165 0.102100
\(221\) −2397.20 −0.729653
\(222\) −6220.67 2198.71i −1.88065 0.664719i
\(223\) −1453.32 + 2517.23i −0.436420 + 0.755902i −0.997410 0.0719205i \(-0.977087\pi\)
0.560990 + 0.827822i \(0.310421\pi\)
\(224\) 399.776 2538.26i 0.119246 0.757119i
\(225\) 1239.52 477.492i 0.367264 0.141479i
\(226\) 2854.99 + 4944.99i 0.840315 + 1.45547i
\(227\) −457.588 792.566i −0.133794 0.231738i 0.791342 0.611373i \(-0.209383\pi\)
−0.925136 + 0.379636i \(0.876049\pi\)
\(228\) −416.043 147.051i −0.120847 0.0427136i
\(229\) −1572.89 + 2724.33i −0.453885 + 0.786151i −0.998623 0.0524545i \(-0.983296\pi\)
0.544739 + 0.838606i \(0.316629\pi\)
\(230\) −849.377 1471.16i −0.243506 0.421764i
\(231\) −540.270 + 998.516i −0.153884 + 0.284405i
\(232\) −585.347 + 1013.85i −0.165646 + 0.286907i
\(233\) −1606.54 2782.60i −0.451707 0.782379i 0.546786 0.837273i \(-0.315851\pi\)
−0.998492 + 0.0548940i \(0.982518\pi\)
\(234\) 4491.28 1730.15i 1.25472 0.483348i
\(235\) 993.502 1720.80i 0.275783 0.477669i
\(236\) 1870.46 0.515918
\(237\) −1448.54 + 1238.65i −0.397015 + 0.339490i
\(238\) −2177.76 1760.41i −0.593124 0.479455i
\(239\) −3206.85 5554.43i −0.867925 1.50329i −0.864113 0.503297i \(-0.832120\pi\)
−0.00381177 0.999993i \(-0.501213\pi\)
\(240\) 656.929 + 3532.79i 0.176686 + 0.950169i
\(241\) 688.272 + 1192.12i 0.183965 + 0.318636i 0.943227 0.332148i \(-0.107773\pi\)
−0.759262 + 0.650785i \(0.774440\pi\)
\(242\) 1998.18 3460.95i 0.530776 0.919331i
\(243\) −3495.34 + 1459.96i −0.922742 + 0.385419i
\(244\) 1447.57 0.379799
\(245\) −2215.83 + 2002.08i −0.577812 + 0.522073i
\(246\) 5952.67 + 2103.98i 1.54280 + 0.545305i
\(247\) 695.920 1205.37i 0.179272 0.310509i
\(248\) 5020.79 1.28557
\(249\) 970.498 + 5219.08i 0.246999 + 1.32830i
\(250\) 5085.54 1.28655
\(251\) 7148.55 1.79766 0.898830 0.438298i \(-0.144418\pi\)
0.898830 + 0.438298i \(0.144418\pi\)
\(252\) 1543.60 + 498.053i 0.385864 + 0.124502i
\(253\) 686.465 0.170584
\(254\) −8312.03 −2.05332
\(255\) 1923.40 + 679.828i 0.472344 + 0.166951i
\(256\) 4273.86 1.04342
\(257\) 334.190 578.834i 0.0811137 0.140493i −0.822615 0.568599i \(-0.807486\pi\)
0.903729 + 0.428106i \(0.140819\pi\)
\(258\) −374.482 2013.87i −0.0903653 0.485960i
\(259\) 6545.14 2518.93i 1.57025 0.604319i
\(260\) 1501.32 0.358108
\(261\) −1541.69 1245.41i −0.365624 0.295360i
\(262\) 292.429 506.502i 0.0689554 0.119434i
\(263\) 3896.06 + 6748.17i 0.913464 + 1.58217i 0.809135 + 0.587623i \(0.199936\pi\)
0.104330 + 0.994543i \(0.466730\pi\)
\(264\) −921.795 325.810i −0.214896 0.0759554i
\(265\) −2677.80 4638.08i −0.620738 1.07515i
\(266\) 1517.39 583.974i 0.349763 0.134608i
\(267\) −2420.37 855.486i −0.554774 0.196086i
\(268\) 965.632 0.220095
\(269\) 3360.58 5820.69i 0.761703 1.31931i −0.180270 0.983617i \(-0.557697\pi\)
0.941972 0.335690i \(-0.108970\pi\)
\(270\) −4094.24 + 114.494i −0.922843 + 0.0258070i
\(271\) −321.852 557.464i −0.0721444 0.124958i 0.827697 0.561176i \(-0.189651\pi\)
−0.899841 + 0.436218i \(0.856318\pi\)
\(272\) 1790.80 3101.76i 0.399204 0.691441i
\(273\) −2434.59 + 4499.56i −0.539736 + 0.997530i
\(274\) −3936.34 6817.95i −0.867895 1.50324i
\(275\) −290.195 + 502.632i −0.0636342 + 0.110218i
\(276\) −179.293 964.190i −0.0391021 0.210281i
\(277\) −1588.33 2751.06i −0.344525 0.596734i 0.640743 0.767756i \(-0.278627\pi\)
−0.985267 + 0.171022i \(0.945293\pi\)
\(278\) 731.946 + 1267.77i 0.157911 + 0.273509i
\(279\) −1319.70 + 8396.67i −0.283185 + 1.80178i
\(280\) −1999.99 1616.70i −0.426865 0.345059i
\(281\) −750.228 + 1299.43i −0.159270 + 0.275863i −0.934606 0.355686i \(-0.884247\pi\)
0.775336 + 0.631549i \(0.217581\pi\)
\(282\) 3022.14 2584.25i 0.638177 0.545709i
\(283\) −6590.70 −1.38437 −0.692184 0.721721i \(-0.743352\pi\)
−0.692184 + 0.721721i \(0.743352\pi\)
\(284\) −2810.36 −0.587197
\(285\) −900.204 + 769.770i −0.187100 + 0.159990i
\(286\) −1051.50 + 1821.25i −0.217400 + 0.376547i
\(287\) −6263.17 + 2410.41i −1.28816 + 0.495756i
\(288\) −581.627 + 3700.62i −0.119002 + 0.757157i
\(289\) 1439.83 + 2493.86i 0.293065 + 0.507604i
\(290\) −1071.47 1855.84i −0.216962 0.375789i
\(291\) 145.014 + 779.849i 0.0292127 + 0.157098i
\(292\) 919.081 1591.90i 0.184196 0.319036i
\(293\) −3933.62 6813.23i −0.784316 1.35848i −0.929407 0.369057i \(-0.879681\pi\)
0.145090 0.989418i \(-0.453653\pi\)
\(294\) −5516.02 + 2299.81i −1.09422 + 0.456216i
\(295\) 2510.35 4348.05i 0.495451 0.858147i
\(296\) 3019.70 + 5230.28i 0.592962 + 1.02704i
\(297\) 787.171 1455.95i 0.153792 0.284454i
\(298\) −1252.17 + 2168.83i −0.243411 + 0.421600i
\(299\) 3093.38 0.598310
\(300\) 781.778 + 276.321i 0.150453 + 0.0531780i
\(301\) 1693.29 + 1368.78i 0.324250 + 0.262110i
\(302\) 2124.00 + 3678.88i 0.404710 + 0.700979i
\(303\) 827.992 + 292.655i 0.156987 + 0.0554872i
\(304\) 1039.76 + 1800.91i 0.196165 + 0.339768i
\(305\) 1942.78 3364.99i 0.364732 0.631734i
\(306\) 3175.71 + 2565.41i 0.593278 + 0.479264i
\(307\) 862.229 0.160293 0.0801466 0.996783i \(-0.474461\pi\)
0.0801466 + 0.996783i \(0.474461\pi\)
\(308\) −661.408 + 254.546i −0.122361 + 0.0470912i
\(309\) 973.703 + 5236.31i 0.179262 + 0.964024i
\(310\) −4595.25 + 7959.22i −0.841913 + 1.45824i
\(311\) 1815.86 0.331086 0.165543 0.986203i \(-0.447062\pi\)
0.165543 + 0.986203i \(0.447062\pi\)
\(312\) −4153.84 1468.18i −0.753733 0.266408i
\(313\) −1154.60 −0.208504 −0.104252 0.994551i \(-0.533245\pi\)
−0.104252 + 0.994551i \(0.533245\pi\)
\(314\) −5507.29 −0.989790
\(315\) 3229.43 2919.79i 0.577644 0.522259i
\(316\) −1189.74 −0.211797
\(317\) −7933.67 −1.40568 −0.702838 0.711350i \(-0.748084\pi\)
−0.702838 + 0.711350i \(0.748084\pi\)
\(318\) −1959.37 10537.0i −0.345522 1.85813i
\(319\) 865.961 0.151989
\(320\) 740.916 1283.30i 0.129433 0.224184i
\(321\) 1012.33 + 357.810i 0.176021 + 0.0622149i
\(322\) 2810.21 + 2271.65i 0.486357 + 0.393150i
\(323\) 1180.58 0.203372
\(324\) −2250.59 725.369i −0.385904 0.124377i
\(325\) −1307.69 + 2264.98i −0.223192 + 0.386581i
\(326\) −832.992 1442.78i −0.141519 0.245118i
\(327\) 1289.34 + 6933.72i 0.218045 + 1.17259i
\(328\) −2889.61 5004.95i −0.486439 0.842538i
\(329\) −657.598 + 4175.23i −0.110196 + 0.699659i
\(330\) 1360.16 1163.08i 0.226892 0.194017i
\(331\) −3227.64 −0.535974 −0.267987 0.963423i \(-0.586358\pi\)
−0.267987 + 0.963423i \(0.586358\pi\)
\(332\) −1656.89 + 2869.82i −0.273896 + 0.474402i
\(333\) −9540.74 + 3675.32i −1.57006 + 0.604824i
\(334\) 1840.02 + 3187.01i 0.301441 + 0.522111i
\(335\) 1295.98 2244.70i 0.211363 0.366092i
\(336\) −4003.29 6511.48i −0.649992 1.05723i
\(337\) 5569.87 + 9647.30i 0.900327 + 1.55941i 0.827070 + 0.562099i \(0.190006\pi\)
0.0732572 + 0.997313i \(0.476661\pi\)
\(338\) −1054.87 + 1827.08i −0.169755 + 0.294025i
\(339\) 8342.60 + 2948.71i 1.33660 + 0.472424i
\(340\) 636.720 + 1102.83i 0.101562 + 0.175910i
\(341\) −1856.94 3216.31i −0.294894 0.510771i
\(342\) −2211.87 + 852.066i −0.349720 + 0.134721i
\(343\) 2869.29 5667.52i 0.451682 0.892179i
\(344\) −937.513 + 1623.82i −0.146940 + 0.254507i
\(345\) −2481.97 877.258i −0.387319 0.136899i
\(346\) 11447.1 1.77861
\(347\) −3413.43 −0.528077 −0.264039 0.964512i \(-0.585055\pi\)
−0.264039 + 0.964512i \(0.585055\pi\)
\(348\) −226.174 1216.31i −0.0348397 0.187359i
\(349\) −4013.28 + 6951.20i −0.615547 + 1.06616i 0.374741 + 0.927129i \(0.377732\pi\)
−0.990288 + 0.139029i \(0.955602\pi\)
\(350\) −2851.30 + 1097.33i −0.435452 + 0.167586i
\(351\) 3547.18 6560.88i 0.539415 0.997704i
\(352\) −818.399 1417.51i −0.123923 0.214640i
\(353\) 187.723 + 325.145i 0.0283045 + 0.0490248i 0.879831 0.475287i \(-0.157656\pi\)
−0.851526 + 0.524312i \(0.824323\pi\)
\(354\) 7636.25 6529.80i 1.14650 0.980382i
\(355\) −3771.78 + 6532.92i −0.563903 + 0.976708i
\(356\) −801.240 1387.79i −0.119285 0.206609i
\(357\) −4337.78 + 119.907i −0.643081 + 0.0177764i
\(358\) −450.118 + 779.628i −0.0664511 + 0.115097i
\(359\) −1475.85 2556.25i −0.216970 0.375804i 0.736910 0.675991i \(-0.236284\pi\)
−0.953880 + 0.300187i \(0.902951\pi\)
\(360\) 2916.47 + 2355.99i 0.426976 + 0.344921i
\(361\) 3086.77 5346.45i 0.450033 0.779479i
\(362\) 10623.9 1.54248
\(363\) −1132.17 6088.52i −0.163701 0.880343i
\(364\) −2980.47 + 1147.05i −0.429173 + 0.165169i
\(365\) −2467.00 4272.97i −0.353777 0.612760i
\(366\) 5909.75 5053.46i 0.844010 0.721718i
\(367\) −3475.47 6019.68i −0.494326 0.856199i 0.505652 0.862737i \(-0.331252\pi\)
−0.999979 + 0.00653891i \(0.997919\pi\)
\(368\) −2310.87 + 4002.55i −0.327344 + 0.566976i
\(369\) 9129.71 3516.99i 1.28800 0.496171i
\(370\) −11055.1 −1.55331
\(371\) 8859.64 + 7161.74i 1.23981 + 1.00221i
\(372\) −4032.54 + 3448.25i −0.562037 + 0.480601i
\(373\) 5496.02 9519.39i 0.762931 1.32143i −0.178403 0.983958i \(-0.557093\pi\)
0.941334 0.337477i \(-0.109574\pi\)
\(374\) −1783.79 −0.246624
\(375\) 5989.51 5121.67i 0.824792 0.705285i
\(376\) −3639.85 −0.499232
\(377\) 3902.23 0.533091
\(378\) 8040.52 3355.39i 1.09407 0.456568i
\(379\) 3498.29 0.474130 0.237065 0.971494i \(-0.423815\pi\)
0.237065 + 0.971494i \(0.423815\pi\)
\(380\) −739.372 −0.0998131
\(381\) −9789.52 + 8371.08i −1.31636 + 1.12563i
\(382\) 8864.85 1.18734
\(383\) −3056.68 + 5294.33i −0.407805 + 0.706339i −0.994643 0.103365i \(-0.967039\pi\)
0.586839 + 0.809704i \(0.300372\pi\)
\(384\) 6637.16 5675.48i 0.882035 0.754233i
\(385\) −295.962 + 1879.13i −0.0391782 + 0.248751i
\(386\) 14005.3 1.84677
\(387\) −2469.22 1994.69i −0.324335 0.262005i
\(388\) −247.577 + 428.815i −0.0323938 + 0.0561077i
\(389\) −2683.00 4647.10i −0.349701 0.605700i 0.636495 0.771280i \(-0.280383\pi\)
−0.986196 + 0.165581i \(0.947050\pi\)
\(390\) 6129.22 5241.13i 0.795807 0.680500i
\(391\) 1311.92 + 2272.32i 0.169685 + 0.293903i
\(392\) 5205.63 + 1681.48i 0.670724 + 0.216652i
\(393\) −165.691 891.041i −0.0212672 0.114369i
\(394\) −3869.58 −0.494788
\(395\) −1596.75 + 2765.65i −0.203395 + 0.352291i
\(396\) 964.122 371.403i 0.122346 0.0471306i
\(397\) −221.151 383.045i −0.0279578 0.0484243i 0.851708 0.524017i \(-0.175567\pi\)
−0.879666 + 0.475592i \(0.842234\pi\)
\(398\) −7571.52 + 13114.3i −0.953583 + 1.65165i
\(399\) 1198.99 2215.95i 0.150437 0.278035i
\(400\) −1953.79 3384.06i −0.244224 0.423008i
\(401\) 2643.70 4579.02i 0.329227 0.570237i −0.653132 0.757244i \(-0.726545\pi\)
0.982359 + 0.187007i \(0.0598787\pi\)
\(402\) 3942.24 3371.03i 0.489107 0.418238i
\(403\) −8367.81 14493.5i −1.03432 1.79149i
\(404\) 274.098 + 474.752i 0.0337547 + 0.0584649i
\(405\) −4706.70 + 4258.17i −0.577476 + 0.522445i
\(406\) 3545.02 + 2865.64i 0.433341 + 0.350294i
\(407\) 2233.67 3868.83i 0.272037 0.471182i
\(408\) −683.181 3673.96i −0.0828983 0.445805i
\(409\) 5365.46 0.648667 0.324334 0.945943i \(-0.394860\pi\)
0.324334 + 0.945943i \(0.394860\pi\)
\(410\) 10578.8 1.27427
\(411\) −11502.4 4065.56i −1.38047 0.487930i
\(412\) −1662.36 + 2879.29i −0.198783 + 0.344302i
\(413\) −1661.60 + 10549.8i −0.197971 + 1.25696i
\(414\) −4097.97 3310.44i −0.486484 0.392993i
\(415\) 4447.42 + 7703.16i 0.526061 + 0.911165i
\(416\) −3687.91 6387.64i −0.434650 0.752836i
\(417\) 2138.83 + 755.972i 0.251172 + 0.0887772i
\(418\) 517.842 896.928i 0.0605944 0.104953i
\(419\) 3399.92 + 5888.83i 0.396413 + 0.686607i 0.993280 0.115733i \(-0.0369216\pi\)
−0.596868 + 0.802340i \(0.703588\pi\)
\(420\) 2716.67 75.0957i 0.315619 0.00872451i
\(421\) −1937.13 + 3355.21i −0.224252 + 0.388415i −0.956095 0.293058i \(-0.905327\pi\)
0.731843 + 0.681473i \(0.238660\pi\)
\(422\) 466.865 + 808.635i 0.0538546 + 0.0932789i
\(423\) 956.728 6087.22i 0.109971 0.699694i
\(424\) −4905.27 + 8496.18i −0.561842 + 0.973139i
\(425\) −2218.40 −0.253196
\(426\) −11473.4 + 9810.99i −1.30490 + 1.11583i
\(427\) −1285.92 + 8164.60i −0.145738 + 0.925322i
\(428\) 335.121 + 580.446i 0.0378474 + 0.0655536i
\(429\) 595.780 + 3203.95i 0.0670502 + 0.360578i
\(430\) −1716.11 2972.39i −0.192461 0.333352i
\(431\) 2486.59 4306.90i 0.277900 0.481337i −0.692963 0.720974i \(-0.743695\pi\)
0.970863 + 0.239636i \(0.0770283\pi\)
\(432\) 5839.30 + 9490.97i 0.650332 + 1.05702i
\(433\) −4522.66 −0.501952 −0.250976 0.967993i \(-0.580752\pi\)
−0.250976 + 0.967993i \(0.580752\pi\)
\(434\) 3041.59 19311.7i 0.336408 2.13593i
\(435\) −3130.96 1106.64i −0.345099 0.121976i
\(436\) −2201.23 + 3812.64i −0.241788 + 0.418790i
\(437\) −1523.43 −0.166763
\(438\) −1805.13 9707.51i −0.196923 1.05900i
\(439\) −8458.79 −0.919626 −0.459813 0.888016i \(-0.652084\pi\)
−0.459813 + 0.888016i \(0.652084\pi\)
\(440\) −1638.17 −0.177493
\(441\) −4180.37 + 8263.82i −0.451395 + 0.892324i
\(442\) −8038.18 −0.865016
\(443\) 10043.7 1.07718 0.538589 0.842569i \(-0.318958\pi\)
0.538589 + 0.842569i \(0.318958\pi\)
\(444\) −6017.46 2126.88i −0.643189 0.227337i
\(445\) −4301.38 −0.458213
\(446\) −4873.21 + 8440.65i −0.517384 + 0.896135i
\(447\) 709.483 + 3815.41i 0.0750725 + 0.403720i
\(448\) −490.412 + 3113.73i −0.0517183 + 0.328370i
\(449\) −3746.19 −0.393750 −0.196875 0.980429i \(-0.563079\pi\)
−0.196875 + 0.980429i \(0.563079\pi\)
\(450\) 4156.28 1601.10i 0.435398 0.167726i
\(451\) −2137.44 + 3702.16i −0.223167 + 0.386536i
\(452\) 2761.73 + 4783.46i 0.287391 + 0.497776i
\(453\) 6206.56 + 2193.72i 0.643730 + 0.227528i
\(454\) −1534.36 2657.59i −0.158615 0.274729i
\(455\) −1333.68 + 8467.80i −0.137415 + 0.872476i
\(456\) 2045.68 + 723.051i 0.210083 + 0.0742543i
\(457\) 6991.75 0.715668 0.357834 0.933785i \(-0.383515\pi\)
0.357834 + 0.933785i \(0.383515\pi\)
\(458\) −5274.14 + 9135.08i −0.538088 + 0.931996i
\(459\) 6323.84 176.844i 0.643075 0.0179834i
\(460\) −821.632 1423.11i −0.0832799 0.144245i
\(461\) 2826.32 4895.34i 0.285542 0.494574i −0.687198 0.726470i \(-0.741160\pi\)
0.972741 + 0.231896i \(0.0744929\pi\)
\(462\) −1811.61 + 3348.17i −0.182432 + 0.337167i
\(463\) −4524.54 7836.73i −0.454154 0.786617i 0.544485 0.838770i \(-0.316725\pi\)
−0.998639 + 0.0521531i \(0.983392\pi\)
\(464\) −2915.12 + 5049.13i −0.291662 + 0.505173i
\(465\) 2603.68 + 14001.9i 0.259662 + 1.39639i
\(466\) −5386.95 9330.48i −0.535506 0.927524i
\(467\) −3169.20 5489.22i −0.314033 0.543921i 0.665199 0.746666i \(-0.268347\pi\)
−0.979231 + 0.202746i \(0.935014\pi\)
\(468\) 4344.57 1673.63i 0.429119 0.165307i
\(469\) −857.805 + 5446.39i −0.0844557 + 0.536228i
\(470\) 3331.36 5770.08i 0.326945 0.566285i
\(471\) −6486.23 + 5546.41i −0.634542 + 0.542601i
\(472\) −9197.07 −0.896885
\(473\) 1386.95 0.134825
\(474\) −4857.16 + 4153.39i −0.470668 + 0.402471i
\(475\) 644.012 1115.46i 0.0622090 0.107749i
\(476\) −2106.62 1702.90i −0.202851 0.163976i
\(477\) −12919.5 10436.7i −1.24013 1.00181i
\(478\) −10753.1 18624.8i −1.02894 1.78218i
\(479\) −2336.85 4047.54i −0.222909 0.386089i 0.732781 0.680464i \(-0.238222\pi\)
−0.955690 + 0.294375i \(0.904888\pi\)
\(480\) 1147.51 + 6170.99i 0.109117 + 0.586804i
\(481\) 10065.5 17433.9i 0.954150 1.65264i
\(482\) 2307.88 + 3997.36i 0.218093 + 0.377749i
\(483\) 5597.53 154.730i 0.527322 0.0145765i
\(484\) 1932.91 3347.89i 0.181528 0.314415i
\(485\) 664.545 + 1151.03i 0.0622174 + 0.107764i
\(486\) −11720.4 + 4895.48i −1.09393 + 0.456921i
\(487\) −4782.59 + 8283.70i −0.445010 + 0.770781i −0.998053 0.0623725i \(-0.980133\pi\)
0.553043 + 0.833153i \(0.313467\pi\)
\(488\) −7117.68 −0.660251
\(489\) −2434.09 860.335i −0.225099 0.0795617i
\(490\) −7430.00 + 6713.26i −0.685007 + 0.618927i
\(491\) −2518.90 4362.87i −0.231520 0.401005i 0.726735 0.686917i \(-0.241037\pi\)
−0.958256 + 0.285913i \(0.907703\pi\)
\(492\) 5758.22 + 2035.25i 0.527644 + 0.186497i
\(493\) 1654.96 + 2866.48i 0.151188 + 0.261866i
\(494\) 2333.52 4041.78i 0.212531 0.368114i
\(495\) 430.590 2739.65i 0.0390982 0.248763i
\(496\) 25004.3 2.26356
\(497\) 2496.54 15851.1i 0.225322 1.43062i
\(498\) 3254.23 + 17500.4i 0.292822 + 1.57472i
\(499\) 5896.41 10212.9i 0.528977 0.916216i −0.470452 0.882426i \(-0.655909\pi\)
0.999429 0.0337898i \(-0.0107577\pi\)
\(500\) 4919.41 0.440006
\(501\) 5376.74 + 1900.42i 0.479471 + 0.169470i
\(502\) 23970.2 2.13116
\(503\) −11275.8 −0.999525 −0.499762 0.866163i \(-0.666579\pi\)
−0.499762 + 0.866163i \(0.666579\pi\)
\(504\) −7589.88 2448.93i −0.670794 0.216436i
\(505\) 1471.47 0.129662
\(506\) 2301.82 0.202230
\(507\) 597.690 + 3214.22i 0.0523557 + 0.281555i
\(508\) −8040.51 −0.702244
\(509\) −5813.97 + 10070.1i −0.506286 + 0.876913i 0.493687 + 0.869639i \(0.335649\pi\)
−0.999974 + 0.00727395i \(0.997685\pi\)
\(510\) 6449.44 + 2279.57i 0.559972 + 0.197923i
\(511\) 8162.20 + 6597.97i 0.706604 + 0.571188i
\(512\) 885.756 0.0764556
\(513\) −1746.92 + 3231.11i −0.150348 + 0.278084i
\(514\) 1120.59 1940.92i 0.0961617 0.166557i
\(515\) 4462.11 + 7728.60i 0.381794 + 0.661287i
\(516\) −362.249 1948.08i −0.0309053 0.166200i
\(517\) 1346.20 + 2331.68i 0.114518 + 0.198351i
\(518\) 21946.9 8446.35i 1.86156 0.716431i
\(519\) 13481.9 11528.4i 1.14025 0.975033i
\(520\) −7382.00 −0.622543
\(521\) 2028.63 3513.69i 0.170587 0.295465i −0.768038 0.640404i \(-0.778767\pi\)
0.938625 + 0.344939i \(0.112100\pi\)
\(522\) −5169.50 4176.05i −0.433454 0.350155i
\(523\) 2546.76 + 4411.11i 0.212929 + 0.368804i 0.952630 0.304132i \(-0.0983663\pi\)
−0.739701 + 0.672936i \(0.765033\pi\)
\(524\) 282.876 489.956i 0.0235830 0.0408470i
\(525\) −2252.99 + 4163.94i −0.187293 + 0.346151i
\(526\) 13064.1 + 22627.6i 1.08293 + 1.87569i
\(527\) 7097.69 12293.6i 0.586680 1.01616i
\(528\) −4590.68 1622.59i −0.378379 0.133739i
\(529\) 4390.58 + 7604.71i 0.360860 + 0.625027i
\(530\) −8979.05 15552.2i −0.735896 1.27461i
\(531\) 2417.43 15381.0i 0.197566 1.25702i
\(532\) 1467.82 564.898i 0.119621 0.0460365i
\(533\) −9631.84 + 16682.8i −0.782742 + 1.35575i
\(534\) −8115.88 2868.57i −0.657694 0.232463i
\(535\) 1799.06 0.145384
\(536\) −4748.02 −0.382618
\(537\) 255.038 + 1371.53i 0.0204948 + 0.110215i
\(538\) 11268.5 19517.6i 0.903012 1.56406i
\(539\) −848.145 3956.61i −0.0677777 0.316184i
\(540\) −3960.50 + 110.754i −0.315616 + 0.00882609i
\(541\) −1284.83 2225.38i −0.102105 0.176852i 0.810447 0.585813i \(-0.199225\pi\)
−0.912552 + 0.408961i \(0.865891\pi\)
\(542\) −1079.22 1869.26i −0.0855284 0.148140i
\(543\) 12512.3 10699.3i 0.988867 0.845586i
\(544\) 3128.13 5418.08i 0.246540 0.427019i
\(545\) 5908.54 + 10233.9i 0.464393 + 0.804352i
\(546\) −8163.54 + 15087.7i −0.639867 + 1.18259i
\(547\) −5096.80 + 8827.92i −0.398398 + 0.690045i −0.993528 0.113584i \(-0.963767\pi\)
0.595131 + 0.803629i \(0.297100\pi\)
\(548\) −3807.76 6595.23i −0.296824 0.514114i
\(549\) 1870.87 11903.5i 0.145440 0.925369i
\(550\) −973.067 + 1685.40i −0.0754395 + 0.130665i
\(551\) −1921.77 −0.148585
\(552\) 881.585 + 4740.93i 0.0679760 + 0.365557i
\(553\) 1056.89 6710.39i 0.0812719 0.516013i
\(554\) −5325.90 9224.73i −0.408440 0.707439i
\(555\) −13020.2 + 11133.6i −0.995811 + 0.851524i
\(556\) 708.036 + 1226.35i 0.0540061 + 0.0935414i
\(557\) −8941.40 + 15487.0i −0.680178 + 1.17810i 0.294748 + 0.955575i \(0.404764\pi\)
−0.974926 + 0.222529i \(0.928569\pi\)
\(558\) −4425.17 + 28155.3i −0.335721 + 2.13604i
\(559\) 6249.96 0.472889
\(560\) −9960.25 8051.43i −0.751603 0.607563i
\(561\) −2100.86 + 1796.46i −0.158108 + 0.135199i
\(562\) −2515.63 + 4357.19i −0.188817 + 0.327041i
\(563\) 10376.2 0.776740 0.388370 0.921504i \(-0.373038\pi\)
0.388370 + 0.921504i \(0.373038\pi\)
\(564\) 2923.42 2499.83i 0.218259 0.186635i
\(565\) 14826.1 1.10396
\(566\) −22099.6 −1.64119
\(567\) 6090.52 12049.5i 0.451108 0.892470i
\(568\) 13818.5 1.02080
\(569\) −10224.8 −0.753335 −0.376667 0.926349i \(-0.622930\pi\)
−0.376667 + 0.926349i \(0.622930\pi\)
\(570\) −3018.52 + 2581.15i −0.221810 + 0.189671i
\(571\) −16342.6 −1.19775 −0.598877 0.800841i \(-0.704386\pi\)
−0.598877 + 0.800841i \(0.704386\pi\)
\(572\) −1017.15 + 1761.75i −0.0743516 + 0.128781i
\(573\) 10440.6 8927.83i 0.761192 0.650900i
\(574\) −21001.3 + 8082.47i −1.52714 + 0.587728i
\(575\) 2862.65 0.207618
\(576\) 713.492 4539.62i 0.0516126 0.328387i
\(577\) 10787.0 18683.7i 0.778285 1.34803i −0.154645 0.987970i \(-0.549423\pi\)
0.932930 0.360058i \(-0.117243\pi\)
\(578\) 4827.97 + 8362.29i 0.347434 + 0.601774i
\(579\) 16494.8 14104.8i 1.18394 1.01239i
\(580\) −1036.47 1795.22i −0.0742019 0.128522i
\(581\) −14714.5 11894.6i −1.05071 0.849347i
\(582\) 486.255 + 2614.95i 0.0346322 + 0.186243i
\(583\) 7256.85 0.515520
\(584\) −4519.13 + 7827.36i −0.320210 + 0.554620i
\(585\) 1940.34 12345.5i 0.137134 0.872520i
\(586\) −13190.0 22845.8i −0.929821 1.61050i
\(587\) −1860.80 + 3223.00i −0.130840 + 0.226622i −0.924001 0.382391i \(-0.875101\pi\)
0.793160 + 0.609013i \(0.208434\pi\)
\(588\) −5335.83 + 2224.68i −0.374228 + 0.156028i
\(589\) 4120.99 + 7137.76i 0.288289 + 0.499331i
\(590\) 8417.58 14579.7i 0.587366 1.01735i
\(591\) −4557.41 + 3897.07i −0.317203 + 0.271242i
\(592\) 15038.6 + 26047.6i 1.04406 + 1.80836i
\(593\) −6561.64 11365.1i −0.454392 0.787029i 0.544261 0.838916i \(-0.316810\pi\)
−0.998653 + 0.0518863i \(0.983477\pi\)
\(594\) 2639.50 4882.03i 0.182323 0.337226i
\(595\) −6785.85 + 2611.56i −0.467551 + 0.179939i
\(596\) −1211.27 + 2097.98i −0.0832475 + 0.144189i
\(597\) 4290.04 + 23070.7i 0.294103 + 1.58161i
\(598\) 10372.6 0.709307
\(599\) 3168.55 0.216133 0.108066 0.994144i \(-0.465534\pi\)
0.108066 + 0.994144i \(0.465534\pi\)
\(600\) −3844.01 1358.67i −0.261551 0.0924459i
\(601\) −3617.13 + 6265.05i −0.245500 + 0.425219i −0.962272 0.272089i \(-0.912286\pi\)
0.716772 + 0.697308i \(0.245619\pi\)
\(602\) 5677.84 + 4589.72i 0.384404 + 0.310736i
\(603\) 1248.01 7940.49i 0.0842832 0.536255i
\(604\) 2054.62 + 3558.70i 0.138413 + 0.239738i
\(605\) −5188.31 8986.42i −0.348653 0.603884i
\(606\) 2776.38 + 981.318i 0.186110 + 0.0657810i
\(607\) −7388.40 + 12797.1i −0.494046 + 0.855713i −0.999976 0.00686160i \(-0.997816\pi\)
0.505931 + 0.862574i \(0.331149\pi\)
\(608\) 1816.22 + 3145.79i 0.121147 + 0.209833i
\(609\) 7061.16 195.188i 0.469840 0.0129876i
\(610\) 6514.43 11283.3i 0.432396 0.748932i
\(611\) 6066.30 + 10507.1i 0.401663 + 0.695701i
\(612\) 3071.97 + 2481.61i 0.202904 + 0.163910i
\(613\) −6363.75 + 11022.3i −0.419298 + 0.726245i −0.995869 0.0908021i \(-0.971057\pi\)
0.576571 + 0.817047i \(0.304390\pi\)
\(614\) 2891.18 0.190030
\(615\) 12459.2 10654.0i 0.816919 0.698552i
\(616\) 3252.14 1251.60i 0.212715 0.0818644i
\(617\) −6853.94 11871.4i −0.447211 0.774593i 0.550992 0.834510i \(-0.314249\pi\)
−0.998203 + 0.0599179i \(0.980916\pi\)
\(618\) 3264.97 + 17558.1i 0.212518 + 1.14287i
\(619\) 10086.4 + 17470.1i 0.654937 + 1.13438i 0.981910 + 0.189350i \(0.0606381\pi\)
−0.326973 + 0.945034i \(0.606029\pi\)
\(620\) −4445.15 + 7699.22i −0.287938 + 0.498723i
\(621\) −8160.36 + 228.201i −0.527317 + 0.0147462i
\(622\) 6088.84 0.392509
\(623\) 8539.21 3286.36i 0.549143 0.211340i
\(624\) −20686.8 7311.77i −1.32714 0.469079i
\(625\) 3527.57 6109.92i 0.225764 0.391035i
\(626\) −3871.53 −0.247185
\(627\) −293.410 1577.88i −0.0186885 0.100502i
\(628\) −5327.38 −0.338512
\(629\) 17075.3 1.08241
\(630\) 10828.8 9790.50i 0.684807 0.619148i
\(631\) 8153.08 0.514373 0.257186 0.966362i \(-0.417205\pi\)
0.257186 + 0.966362i \(0.417205\pi\)
\(632\) 5849.95 0.368194
\(633\) 1364.23 + 482.190i 0.0856609 + 0.0302770i
\(634\) −26602.8 −1.66645
\(635\) −10791.2 + 18690.9i −0.674385 + 1.16807i
\(636\) −1895.37 10192.8i −0.118170 0.635487i
\(637\) −3821.95 17829.5i −0.237726 1.10899i
\(638\) 2903.70 0.180186
\(639\) −3632.18 + 23109.8i −0.224862 + 1.43069i
\(640\) 7316.27 12672.1i 0.451876 0.782673i
\(641\) 1315.11 + 2277.84i 0.0810357 + 0.140358i 0.903695 0.428177i \(-0.140844\pi\)
−0.822659 + 0.568535i \(0.807511\pi\)
\(642\) 3394.49 + 1199.79i 0.208676 + 0.0737569i
\(643\) −5342.55 9253.56i −0.327666 0.567535i 0.654382 0.756164i \(-0.272929\pi\)
−0.982048 + 0.188629i \(0.939595\pi\)
\(644\) 2718.41 + 2197.45i 0.166336 + 0.134459i
\(645\) −5014.66 1772.44i −0.306127 0.108201i
\(646\) 3958.65 0.241101
\(647\) 9243.79 16010.7i 0.561686 0.972869i −0.435663 0.900110i \(-0.643486\pi\)
0.997350 0.0727595i \(-0.0231806\pi\)
\(648\) 11066.2 + 3566.64i 0.670864 + 0.216220i
\(649\) 3401.53 + 5891.63i 0.205735 + 0.356343i
\(650\) −4384.88 + 7594.83i −0.264599 + 0.458298i
\(651\) −15866.7 25807.7i −0.955245 1.55374i
\(652\) −805.781 1395.65i −0.0484000 0.0838313i
\(653\) −9443.31 + 16356.3i −0.565919 + 0.980201i 0.431044 + 0.902331i \(0.358145\pi\)
−0.996964 + 0.0778702i \(0.975188\pi\)
\(654\) 4323.34 + 23249.8i 0.258496 + 1.39012i
\(655\) −759.297 1315.14i −0.0452950 0.0784532i
\(656\) −14390.7 24925.5i −0.856499 1.48350i
\(657\) −11902.5 9615.10i −0.706788 0.570960i
\(658\) −2205.02 + 14000.2i −0.130639 + 0.829458i
\(659\) 1649.50 2857.01i 0.0975043 0.168882i −0.813147 0.582059i \(-0.802247\pi\)
0.910651 + 0.413176i \(0.135581\pi\)
\(660\) 1315.73 1125.09i 0.0775980 0.0663545i
\(661\) −7120.51 −0.418995 −0.209498 0.977809i \(-0.567183\pi\)
−0.209498 + 0.977809i \(0.567183\pi\)
\(662\) −10822.8 −0.635406
\(663\) −9467.00 + 8095.29i −0.554552 + 0.474200i
\(664\) 8146.93 14110.9i 0.476148 0.824712i
\(665\) 656.810 4170.23i 0.0383008 0.243180i
\(666\) −31991.5 + 12323.9i −1.86133 + 0.717030i
\(667\) −2135.58 3698.94i −0.123973 0.214728i
\(668\) 1779.91 + 3082.90i 0.103094 + 0.178564i
\(669\) 2761.17 + 14848.8i 0.159571 + 0.858130i
\(670\) 4345.60 7526.80i 0.250575 0.434008i
\(671\) 2632.47 + 4559.57i 0.151454 + 0.262326i
\(672\) −6992.85 11374.1i −0.401421 0.652924i
\(673\) −6950.81 + 12039.2i −0.398119 + 0.689562i −0.993494 0.113886i \(-0.963670\pi\)
0.595375 + 0.803448i \(0.297003\pi\)
\(674\) 18676.6 + 32348.8i 1.06735 + 1.84871i
\(675\) 3282.60 6071.51i 0.187181 0.346211i
\(676\) −1020.41 + 1767.40i −0.0580570 + 0.100558i
\(677\) 6770.68 0.384370 0.192185 0.981359i \(-0.438443\pi\)
0.192185 + 0.981359i \(0.438443\pi\)
\(678\) 27974.0 + 9887.46i 1.58456 + 0.560067i
\(679\) −2198.69 1777.32i −0.124268 0.100453i
\(680\) −3130.76 5422.63i −0.176557 0.305806i
\(681\) −4483.58 1584.73i −0.252292 0.0891732i
\(682\) −6226.59 10784.8i −0.349602 0.605528i
\(683\) −2459.98 + 4260.81i −0.137816 + 0.238705i −0.926670 0.375877i \(-0.877342\pi\)
0.788854 + 0.614581i \(0.210675\pi\)
\(684\) −2139.62 + 824.232i −0.119606 + 0.0460750i
\(685\) −20441.6 −1.14019
\(686\) 9621.15 19004.1i 0.535477 1.05769i
\(687\) 2988.34 + 16070.5i 0.165957 + 0.892471i
\(688\) −4668.96 + 8086.88i −0.258724 + 0.448124i
\(689\) 32701.1 1.80815
\(690\) −8322.43 2941.58i −0.459173 0.162296i
\(691\) −29784.8 −1.63975 −0.819874 0.572545i \(-0.805956\pi\)
−0.819874 + 0.572545i \(0.805956\pi\)
\(692\) 11073.2 0.608294
\(693\) 1238.34 + 5767.80i 0.0678795 + 0.316162i
\(694\) −11445.8 −0.626045
\(695\) 3801.02 0.207455
\(696\) 1112.10 + 5980.58i 0.0605662 + 0.325709i
\(697\) −16339.7 −0.887964
\(698\) −13457.1 + 23308.4i −0.729742 + 1.26395i
\(699\) −15741.3 5563.78i −0.851773 0.301061i
\(700\) −2758.16 + 1061.49i −0.148926 + 0.0573150i
\(701\) 26420.4 1.42352 0.711758 0.702425i \(-0.247899\pi\)
0.711758 + 0.702425i \(0.247899\pi\)
\(702\) 11894.2 21999.6i 0.639486 1.18280i
\(703\) −4957.05 + 8585.87i −0.265944 + 0.460629i
\(704\) 1003.94 + 1738.88i 0.0537466 + 0.0930918i
\(705\) −1887.55 10150.8i −0.100836 0.542269i
\(706\) 629.463 + 1090.26i 0.0335554 + 0.0581197i
\(707\) −2921.20 + 1124.24i −0.155393 + 0.0598039i
\(708\) 7386.80 6316.50i 0.392109 0.335295i
\(709\) −26470.9 −1.40217 −0.701083 0.713080i \(-0.747300\pi\)
−0.701083 + 0.713080i \(0.747300\pi\)
\(710\) −12647.4 + 21905.9i −0.668517 + 1.15790i
\(711\) −1537.65 + 9783.33i −0.0811058 + 0.516039i
\(712\) 3939.70 + 6823.76i 0.207369 + 0.359173i
\(713\) −9158.94 + 15863.8i −0.481073 + 0.833243i
\(714\) −14545.2 + 402.067i −0.762384 + 0.0210742i
\(715\) 2730.23 + 4728.90i 0.142804 + 0.247344i
\(716\) −435.415 + 754.161i −0.0227266 + 0.0393636i
\(717\) −31421.6 11106.0i −1.63663 0.578469i
\(718\) −4948.75 8571.48i −0.257222 0.445522i
\(719\) 901.859 + 1562.06i 0.0467784 + 0.0810225i 0.888467 0.458941i \(-0.151771\pi\)
−0.841688 + 0.539964i \(0.818438\pi\)
\(720\) 14524.5 + 11733.2i 0.751798 + 0.607321i
\(721\) −14763.1 11933.9i −0.762563 0.616422i
\(722\) 10350.4 17927.4i 0.533521 0.924086i
\(723\) 6743.87 + 2383.64i 0.346898 + 0.122612i
\(724\) 10276.8 0.527535
\(725\) 3611.17 0.184987
\(726\) −3796.34 20415.7i −0.194071 1.04366i
\(727\) 5340.34 9249.74i 0.272438 0.471876i −0.697048 0.717025i \(-0.745503\pi\)
0.969485 + 0.245149i \(0.0788368\pi\)
\(728\) 14655.0 5640.03i 0.746084 0.287134i
\(729\) −8873.50 + 17569.3i −0.450820 + 0.892615i
\(730\) −8272.22 14327.9i −0.419409 0.726438i
\(731\) 2650.65 + 4591.06i 0.134115 + 0.232293i
\(732\) 5716.70 4888.39i 0.288655 0.246831i
\(733\) 8936.47 15478.4i 0.450308 0.779957i −0.548097 0.836415i \(-0.684647\pi\)
0.998405 + 0.0564583i \(0.0179808\pi\)
\(734\) −11653.8 20184.9i −0.586033 1.01504i
\(735\) −1989.76 + 15389.4i −0.0998548 + 0.772306i
\(736\) −4036.58 + 6991.56i −0.202161 + 0.350152i
\(737\) 1756.05 + 3041.57i 0.0877680 + 0.152019i
\(738\) 30613.3 11793.0i 1.52695 0.588219i
\(739\) 2136.60 3700.70i 0.106355 0.184212i −0.807936 0.589270i \(-0.799415\pi\)
0.914291 + 0.405058i \(0.132749\pi\)
\(740\) −10694.0 −0.531240
\(741\) −1322.18 7110.32i −0.0655485 0.352502i
\(742\) 29707.7 + 24014.4i 1.46982 + 1.18813i
\(743\) 14303.0 + 24773.5i 0.706227 + 1.22322i 0.966247 + 0.257618i \(0.0829376\pi\)
−0.260020 + 0.965603i \(0.583729\pi\)
\(744\) 19828.0 16955.1i 0.977058 0.835488i
\(745\) 3251.29 + 5631.40i 0.159890 + 0.276938i
\(746\) 18429.0 31919.9i 0.904468 1.56658i
\(747\) 21457.4 + 17333.8i 1.05098 + 0.849009i
\(748\) −1725.52 −0.0843465
\(749\) −3571.55 + 1374.53i −0.174234 + 0.0670549i
\(750\) 20083.7 17173.7i 0.977806 0.836128i
\(751\) 6745.45 11683.5i 0.327756 0.567691i −0.654310 0.756227i \(-0.727041\pi\)
0.982066 + 0.188536i \(0.0603741\pi\)
\(752\) −18127.0 −0.879023
\(753\) 28231.0 24140.5i 1.36626 1.16830i
\(754\) 13084.8 0.631988
\(755\) 11030.0 0.531687
\(756\) 7777.87 3245.79i 0.374178 0.156148i
\(757\) 3429.25 0.164648 0.0823239 0.996606i \(-0.473766\pi\)
0.0823239 + 0.996606i \(0.473766\pi\)
\(758\) 11730.3 0.562089
\(759\) 2710.98 2318.17i 0.129647 0.110862i
\(760\) 3635.49 0.173517
\(761\) 11218.9 19431.7i 0.534408 0.925622i −0.464784 0.885424i \(-0.653868\pi\)
0.999192 0.0401976i \(-0.0127987\pi\)
\(762\) −32825.7 + 28069.5i −1.56057 + 1.33445i
\(763\) −19548.7 15802.3i −0.927539 0.749781i
\(764\) 8575.27 0.406077
\(765\) 9891.61 3810.49i 0.467493 0.180089i
\(766\) −10249.5 + 17752.7i −0.483460 + 0.837377i
\(767\) 15328.1 + 26549.1i 0.721600 + 1.24985i
\(768\) 16878.3 14432.7i 0.793023 0.678118i
\(769\) 14767.0 + 25577.2i 0.692473 + 1.19940i 0.971025 + 0.238978i \(0.0768123\pi\)
−0.278552 + 0.960421i \(0.589854\pi\)
\(770\) −992.405 + 6300.99i −0.0464465 + 0.294899i
\(771\) −634.928 3414.48i −0.0296581 0.159493i
\(772\) 13547.8 0.631602
\(773\) −4375.97 + 7579.41i −0.203613 + 0.352668i −0.949690 0.313192i \(-0.898602\pi\)
0.746077 + 0.665860