Properties

Label 63.4.o.a.20.13
Level $63$
Weight $4$
Character 63.20
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 20.13
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.628557 + 0.362898i) q^{2} +(-2.99138 + 4.24872i) q^{3} +(-3.73661 - 6.47200i) q^{4} +(-5.53318 - 9.58374i) q^{5} +(-3.42210 + 1.58500i) q^{6} +(13.3114 - 12.8765i) q^{7} -11.2304i q^{8} +(-9.10332 - 25.4191i) q^{9} +O(q^{10})\) \(q+(0.628557 + 0.362898i) q^{2} +(-2.99138 + 4.24872i) q^{3} +(-3.73661 - 6.47200i) q^{4} +(-5.53318 - 9.58374i) q^{5} +(-3.42210 + 1.58500i) q^{6} +(13.3114 - 12.8765i) q^{7} -11.2304i q^{8} +(-9.10332 - 25.4191i) q^{9} -8.03191i q^{10} +(0.219645 + 0.126812i) q^{11} +(38.6754 + 3.48437i) q^{12} +(-12.3956 + 7.15663i) q^{13} +(13.0399 - 3.26296i) q^{14} +(57.2705 + 5.15965i) q^{15} +(-25.8174 + 44.7170i) q^{16} -92.5854 q^{17} +(3.50257 - 19.2809i) q^{18} -130.104i q^{19} +(-41.3506 + 71.6214i) q^{20} +(14.8894 + 95.0753i) q^{21} +(0.0920395 + 0.159417i) q^{22} +(-102.797 + 59.3500i) q^{23} +(47.7148 + 33.5944i) q^{24} +(1.26793 - 2.19612i) q^{25} -10.3885 q^{26} +(135.230 + 37.3606i) q^{27} +(-133.077 - 38.0370i) q^{28} +(248.320 + 143.368i) q^{29} +(34.1254 + 24.0265i) q^{30} +(214.225 - 123.683i) q^{31} +(-110.262 + 63.6597i) q^{32} +(-1.19583 + 0.553867i) q^{33} +(-58.1952 - 33.5990i) q^{34} +(-197.060 - 56.3252i) q^{35} +(-130.497 + 153.898i) q^{36} +188.615 q^{37} +(47.2144 - 81.7777i) q^{38} +(6.67351 - 74.0738i) q^{39} +(-107.629 + 62.1397i) q^{40} +(53.2437 + 92.2207i) q^{41} +(-25.1438 + 65.1636i) q^{42} +(-21.5586 + 37.3406i) q^{43} -1.89539i q^{44} +(-193.240 + 227.892i) q^{45} -86.1520 q^{46} +(-68.8818 + 119.307i) q^{47} +(-112.761 - 243.457i) q^{48} +(11.3890 - 342.811i) q^{49} +(1.59393 - 0.920258i) q^{50} +(276.958 - 393.370i) q^{51} +(92.6354 + 53.4830i) q^{52} -419.280i q^{53} +(71.4418 + 72.5580i) q^{54} -2.80669i q^{55} +(-144.609 - 149.493i) q^{56} +(552.775 + 389.190i) q^{57} +(104.056 + 180.230i) q^{58} +(-217.560 - 376.825i) q^{59} +(-180.604 - 389.934i) q^{60} +(-163.504 - 94.3989i) q^{61} +179.537 q^{62} +(-448.488 - 221.145i) q^{63} +320.670 q^{64} +(137.175 + 79.1977i) q^{65} +(-0.952645 - 0.0858263i) q^{66} +(-185.350 - 321.035i) q^{67} +(345.956 + 599.213i) q^{68} +(55.3435 - 614.296i) q^{69} +(-103.423 - 106.916i) q^{70} -26.1630i q^{71} +(-285.466 + 102.234i) q^{72} +728.545i q^{73} +(118.555 + 68.4480i) q^{74} +(5.53785 + 11.9565i) q^{75} +(-842.032 + 486.147i) q^{76} +(4.55669 - 1.14022i) q^{77} +(31.0759 - 44.1378i) q^{78} +(-48.6779 + 84.3125i) q^{79} +571.409 q^{80} +(-563.259 + 462.796i) q^{81} +77.2880i q^{82} +(401.359 - 695.174i) q^{83} +(559.691 - 451.623i) q^{84} +(512.291 + 887.315i) q^{85} +(-27.1017 + 15.6471i) q^{86} +(-1351.95 + 626.177i) q^{87} +(1.42415 - 2.46670i) q^{88} +236.618 q^{89} +(-204.164 + 73.1170i) q^{90} +(-72.8512 + 254.878i) q^{91} +(768.227 + 443.536i) q^{92} +(-115.333 + 1280.16i) q^{93} +(-86.5924 + 49.9941i) q^{94} +(-1246.88 + 719.887i) q^{95} +(59.3623 - 658.903i) q^{96} +(1268.09 + 732.133i) q^{97} +(131.564 - 211.343i) q^{98} +(1.22395 - 6.73758i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 6q^{2} + 78q^{4} + 5q^{7} + O(q^{10}) \) \( 44q - 6q^{2} + 78q^{4} + 5q^{7} - 18q^{11} + 204q^{14} + 66q^{15} - 242q^{16} - 210q^{18} - 57q^{21} - 34q^{22} - 102q^{23} - 352q^{25} + 300q^{28} + 246q^{29} - 144q^{30} + 1068q^{32} - 1818q^{36} + 328q^{37} - 798q^{39} - 1158q^{42} - 170q^{43} + 968q^{46} - 79q^{49} + 288q^{50} - 204q^{51} + 1212q^{56} + 324q^{57} - 538q^{58} + 5316q^{60} + 783q^{63} - 808q^{64} + 4350q^{65} - 590q^{67} + 384q^{70} + 4284q^{72} - 5304q^{74} - 2787q^{77} + 612q^{78} - 302q^{79} - 3720q^{81} + 7050q^{84} - 612q^{85} - 13692q^{86} + 1294q^{88} + 210q^{91} - 10194q^{92} - 4266q^{93} + 6336q^{95} + 1014q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.628557 + 0.362898i 0.222229 + 0.128304i 0.606982 0.794716i \(-0.292380\pi\)
−0.384753 + 0.923019i \(0.625713\pi\)
\(3\) −2.99138 + 4.24872i −0.575691 + 0.817667i
\(4\) −3.73661 6.47200i −0.467076 0.809000i
\(5\) −5.53318 9.58374i −0.494902 0.857196i 0.505080 0.863072i \(-0.331463\pi\)
−0.999983 + 0.00587635i \(0.998129\pi\)
\(6\) −3.42210 + 1.58500i −0.232845 + 0.107846i
\(7\) 13.3114 12.8765i 0.718750 0.695268i
\(8\) 11.2304i 0.496318i
\(9\) −9.10332 25.4191i −0.337160 0.941447i
\(10\) 8.03191i 0.253991i
\(11\) 0.219645 + 0.126812i 0.00602049 + 0.00347593i 0.503007 0.864282i \(-0.332227\pi\)
−0.496987 + 0.867758i \(0.665560\pi\)
\(12\) 38.6754 + 3.48437i 0.930384 + 0.0838208i
\(13\) −12.3956 + 7.15663i −0.264456 + 0.152684i −0.626366 0.779529i \(-0.715458\pi\)
0.361909 + 0.932213i \(0.382125\pi\)
\(14\) 13.0399 3.26296i 0.248932 0.0622901i
\(15\) 57.2705 + 5.15965i 0.985812 + 0.0888145i
\(16\) −25.8174 + 44.7170i −0.403397 + 0.698704i
\(17\) −92.5854 −1.32090 −0.660449 0.750871i \(-0.729634\pi\)
−0.660449 + 0.750871i \(0.729634\pi\)
\(18\) 3.50257 19.2809i 0.0458646 0.252475i
\(19\) 130.104i 1.57094i −0.618899 0.785470i \(-0.712421\pi\)
0.618899 0.785470i \(-0.287579\pi\)
\(20\) −41.3506 + 71.6214i −0.462314 + 0.800752i
\(21\) 14.8894 + 95.0753i 0.154720 + 0.987958i
\(22\) 0.0920395 + 0.159417i 0.000891950 + 0.00154490i
\(23\) −102.797 + 59.3500i −0.931944 + 0.538058i −0.887426 0.460951i \(-0.847509\pi\)
−0.0445181 + 0.999009i \(0.514175\pi\)
\(24\) 47.7148 + 33.5944i 0.405823 + 0.285726i
\(25\) 1.26793 2.19612i 0.0101434 0.0175689i
\(26\) −10.3885 −0.0783597
\(27\) 135.230 + 37.3606i 0.963891 + 0.266298i
\(28\) −133.077 38.0370i −0.898183 0.256726i
\(29\) 248.320 + 143.368i 1.59007 + 0.918025i 0.993294 + 0.115615i \(0.0368837\pi\)
0.596772 + 0.802411i \(0.296450\pi\)
\(30\) 34.1254 + 24.0265i 0.207680 + 0.146220i
\(31\) 214.225 123.683i 1.24116 0.716582i 0.271827 0.962346i \(-0.412372\pi\)
0.969330 + 0.245764i \(0.0790388\pi\)
\(32\) −110.262 + 63.6597i −0.609117 + 0.351674i
\(33\) −1.19583 + 0.553867i −0.00630810 + 0.00292170i
\(34\) −58.1952 33.5990i −0.293541 0.169476i
\(35\) −197.060 56.3252i −0.951692 0.272020i
\(36\) −130.497 + 153.898i −0.604151 + 0.712490i
\(37\) 188.615 0.838058 0.419029 0.907973i \(-0.362371\pi\)
0.419029 + 0.907973i \(0.362371\pi\)
\(38\) 47.2144 81.7777i 0.201558 0.349108i
\(39\) 6.67351 74.0738i 0.0274004 0.304136i
\(40\) −107.629 + 62.1397i −0.425442 + 0.245629i
\(41\) 53.2437 + 92.2207i 0.202811 + 0.351279i 0.949433 0.313969i \(-0.101659\pi\)
−0.746622 + 0.665249i \(0.768326\pi\)
\(42\) −25.1438 + 65.1636i −0.0923755 + 0.239404i
\(43\) −21.5586 + 37.3406i −0.0764572 + 0.132428i −0.901719 0.432323i \(-0.857694\pi\)
0.825262 + 0.564750i \(0.191028\pi\)
\(44\) 1.89539i 0.00649410i
\(45\) −193.240 + 227.892i −0.640144 + 0.754937i
\(46\) −86.1520 −0.276139
\(47\) −68.8818 + 119.307i −0.213776 + 0.370270i −0.952893 0.303306i \(-0.901909\pi\)
0.739118 + 0.673576i \(0.235243\pi\)
\(48\) −112.761 243.457i −0.339075 0.732082i
\(49\) 11.3890 342.811i 0.0332041 0.999449i
\(50\) 1.59393 0.920258i 0.00450832 0.00260288i
\(51\) 276.958 393.370i 0.760429 1.08006i
\(52\) 92.6354 + 53.4830i 0.247043 + 0.142630i
\(53\) 419.280i 1.08665i −0.839522 0.543325i \(-0.817165\pi\)
0.839522 0.543325i \(-0.182835\pi\)
\(54\) 71.4418 + 72.5580i 0.180037 + 0.182850i
\(55\) 2.80669i 0.00688098i
\(56\) −144.609 149.493i −0.345074 0.356729i
\(57\) 552.775 + 389.190i 1.28451 + 0.904376i
\(58\) 104.056 + 180.230i 0.235572 + 0.408023i
\(59\) −217.560 376.825i −0.480066 0.831498i 0.519673 0.854365i \(-0.326054\pi\)
−0.999739 + 0.0228670i \(0.992721\pi\)
\(60\) −180.604 389.934i −0.388599 0.839005i
\(61\) −163.504 94.3989i −0.343189 0.198140i 0.318493 0.947925i \(-0.396823\pi\)
−0.661681 + 0.749785i \(0.730157\pi\)
\(62\) 179.537 0.367761
\(63\) −448.488 221.145i −0.896892 0.442249i
\(64\) 320.670 0.626310
\(65\) 137.175 + 79.1977i 0.261760 + 0.151127i
\(66\) −0.952645 0.0858263i −0.00177670 0.000160068i
\(67\) −185.350 321.035i −0.337971 0.585383i 0.646080 0.763270i \(-0.276407\pi\)
−0.984051 + 0.177887i \(0.943074\pi\)
\(68\) 345.956 + 599.213i 0.616960 + 1.06861i
\(69\) 55.3435 614.296i 0.0965591 1.07178i
\(70\) −103.423 106.916i −0.176592 0.182556i
\(71\) 26.1630i 0.0437321i −0.999761 0.0218661i \(-0.993039\pi\)
0.999761 0.0218661i \(-0.00696074\pi\)
\(72\) −285.466 + 102.234i −0.467257 + 0.167339i
\(73\) 728.545i 1.16808i 0.811725 + 0.584039i \(0.198529\pi\)
−0.811725 + 0.584039i \(0.801471\pi\)
\(74\) 118.555 + 68.4480i 0.186240 + 0.107526i
\(75\) 5.53785 + 11.9565i 0.00852607 + 0.0184082i
\(76\) −842.032 + 486.147i −1.27089 + 0.733749i
\(77\) 4.55669 1.14022i 0.00674393 0.00168753i
\(78\) 31.0759 44.1378i 0.0451109 0.0640721i
\(79\) −48.6779 + 84.3125i −0.0693251 + 0.120075i −0.898604 0.438760i \(-0.855418\pi\)
0.829279 + 0.558834i \(0.188751\pi\)
\(80\) 571.409 0.798568
\(81\) −563.259 + 462.796i −0.772646 + 0.634837i
\(82\) 77.2880i 0.104086i
\(83\) 401.359 695.174i 0.530781 0.919340i −0.468573 0.883425i \(-0.655232\pi\)
0.999355 0.0359157i \(-0.0114348\pi\)
\(84\) 559.691 451.623i 0.726992 0.586620i
\(85\) 512.291 + 887.315i 0.653715 + 1.13227i
\(86\) −27.1017 + 15.6471i −0.0339819 + 0.0196195i
\(87\) −1351.95 + 626.177i −1.66603 + 0.771647i
\(88\) 1.42415 2.46670i 0.00172517 0.00298808i
\(89\) 236.618 0.281814 0.140907 0.990023i \(-0.454998\pi\)
0.140907 + 0.990023i \(0.454998\pi\)
\(90\) −204.164 + 73.1170i −0.239119 + 0.0856357i
\(91\) −72.8512 + 254.878i −0.0839218 + 0.293610i
\(92\) 768.227 + 443.536i 0.870578 + 0.502628i
\(93\) −115.333 + 1280.16i −0.128597 + 1.42738i
\(94\) −86.5924 + 49.9941i −0.0950141 + 0.0548564i
\(95\) −1246.88 + 719.887i −1.34660 + 0.777462i
\(96\) 59.3623 658.903i 0.0631108 0.700510i
\(97\) 1268.09 + 732.133i 1.32737 + 0.766360i 0.984893 0.173165i \(-0.0553995\pi\)
0.342481 + 0.939525i \(0.388733\pi\)
\(98\) 131.564 211.343i 0.135612 0.217846i
\(99\) 1.22395 6.73758i 0.00124254 0.00683992i
\(100\) −18.9510 −0.0189510
\(101\) 783.722 1357.45i 0.772112 1.33734i −0.164292 0.986412i \(-0.552534\pi\)
0.936404 0.350925i \(-0.114133\pi\)
\(102\) 316.837 146.748i 0.307564 0.142453i
\(103\) −86.8588 + 50.1479i −0.0830918 + 0.0479730i −0.540970 0.841042i \(-0.681943\pi\)
0.457878 + 0.889015i \(0.348609\pi\)
\(104\) 80.3717 + 139.208i 0.0757798 + 0.131254i
\(105\) 828.791 668.764i 0.770303 0.621568i
\(106\) 152.156 263.541i 0.139421 0.241485i
\(107\) 553.381i 0.499976i −0.968249 0.249988i \(-0.919573\pi\)
0.968249 0.249988i \(-0.0804266\pi\)
\(108\) −263.505 1014.81i −0.234775 0.904169i
\(109\) −400.600 −0.352023 −0.176012 0.984388i \(-0.556320\pi\)
−0.176012 + 0.984388i \(0.556320\pi\)
\(110\) 1.01854 1.76417i 0.000882856 0.00152915i
\(111\) −564.219 + 801.374i −0.482462 + 0.685253i
\(112\) 232.134 + 927.687i 0.195845 + 0.782663i
\(113\) −617.417 + 356.466i −0.513997 + 0.296756i −0.734475 0.678635i \(-0.762572\pi\)
0.220478 + 0.975392i \(0.429238\pi\)
\(114\) 206.215 + 445.229i 0.169419 + 0.365785i
\(115\) 1137.59 + 656.788i 0.922442 + 0.532572i
\(116\) 2142.84i 1.71515i
\(117\) 294.756 + 249.937i 0.232908 + 0.197493i
\(118\) 315.808i 0.246377i
\(119\) −1232.45 + 1192.18i −0.949396 + 0.918378i
\(120\) 57.9449 643.170i 0.0440802 0.489276i
\(121\) −665.468 1152.62i −0.499976 0.865984i
\(122\) −68.5143 118.670i −0.0508442 0.0880648i
\(123\) −551.092 49.6494i −0.403986 0.0363962i
\(124\) −1600.95 924.307i −1.15943 0.669397i
\(125\) −1411.36 −1.00988
\(126\) −201.647 301.758i −0.142573 0.213355i
\(127\) 102.170 0.0713865 0.0356932 0.999363i \(-0.488636\pi\)
0.0356932 + 0.999363i \(0.488636\pi\)
\(128\) 1083.65 + 625.648i 0.748300 + 0.432031i
\(129\) −94.1600 203.297i −0.0642661 0.138754i
\(130\) 57.4814 + 99.5606i 0.0387804 + 0.0671696i
\(131\) 236.423 + 409.496i 0.157682 + 0.273113i 0.934032 0.357188i \(-0.116265\pi\)
−0.776350 + 0.630302i \(0.782931\pi\)
\(132\) 8.05298 + 5.66982i 0.00531001 + 0.00373859i
\(133\) −1675.29 1731.87i −1.09222 1.12911i
\(134\) 269.052i 0.173452i
\(135\) −390.198 1502.73i −0.248762 0.958035i
\(136\) 1039.77i 0.655585i
\(137\) 2268.47 + 1309.70i 1.41466 + 0.816756i 0.995823 0.0913039i \(-0.0291035\pi\)
0.418840 + 0.908060i \(0.362437\pi\)
\(138\) 257.713 366.036i 0.158971 0.225790i
\(139\) 1075.92 621.185i 0.656537 0.379052i −0.134419 0.990925i \(-0.542917\pi\)
0.790956 + 0.611873i \(0.209583\pi\)
\(140\) 371.800 + 1485.84i 0.224449 + 0.896973i
\(141\) −300.850 649.552i −0.179689 0.387958i
\(142\) 9.49451 16.4450i 0.00561100 0.00971853i
\(143\) −3.63018 −0.00212287
\(144\) 1371.69 + 249.181i 0.793802 + 0.144202i
\(145\) 3173.12i 1.81733i
\(146\) −264.387 + 457.932i −0.149869 + 0.259581i
\(147\) 1422.44 + 1073.87i 0.798101 + 0.602523i
\(148\) −704.781 1220.72i −0.391437 0.677989i
\(149\) 973.891 562.276i 0.535465 0.309151i −0.207774 0.978177i \(-0.566622\pi\)
0.743239 + 0.669026i \(0.233289\pi\)
\(150\) −0.858135 + 9.52502i −0.000467109 + 0.00518476i
\(151\) 237.798 411.879i 0.128157 0.221975i −0.794805 0.606864i \(-0.792427\pi\)
0.922963 + 0.384889i \(0.125760\pi\)
\(152\) −1461.12 −0.779686
\(153\) 842.835 + 2353.44i 0.445354 + 1.24356i
\(154\) 3.27792 + 0.936921i 0.00171521 + 0.000490255i
\(155\) −2370.68 1368.71i −1.22850 0.709276i
\(156\) −504.342 + 233.594i −0.258844 + 0.119888i
\(157\) 1674.30 966.660i 0.851108 0.491388i −0.00991644 0.999951i \(-0.503157\pi\)
0.861025 + 0.508563i \(0.169823\pi\)
\(158\) −61.1936 + 35.3302i −0.0308121 + 0.0177893i
\(159\) 1781.40 + 1254.22i 0.888519 + 0.625575i
\(160\) 1220.20 + 704.481i 0.602906 + 0.348088i
\(161\) −604.156 + 2113.71i −0.295740 + 1.03468i
\(162\) −521.988 + 86.4882i −0.253156 + 0.0419454i
\(163\) −743.323 −0.357187 −0.178594 0.983923i \(-0.557155\pi\)
−0.178594 + 0.983923i \(0.557155\pi\)
\(164\) 397.902 689.186i 0.189457 0.328149i
\(165\) 11.9249 + 8.39587i 0.00562636 + 0.00396132i
\(166\) 504.554 291.304i 0.235910 0.136202i
\(167\) −1811.60 3137.78i −0.839435 1.45394i −0.890368 0.455242i \(-0.849553\pi\)
0.0509327 0.998702i \(-0.483781\pi\)
\(168\) 1067.73 167.213i 0.490341 0.0767904i
\(169\) −996.065 + 1725.24i −0.453375 + 0.785269i
\(170\) 743.638i 0.335496i
\(171\) −3307.12 + 1184.38i −1.47896 + 0.529658i
\(172\) 322.225 0.142845
\(173\) −1648.50 + 2855.29i −0.724470 + 1.25482i 0.234722 + 0.972063i \(0.424582\pi\)
−0.959192 + 0.282756i \(0.908751\pi\)
\(174\) −1077.02 97.0313i −0.469244 0.0422754i
\(175\) −11.4005 45.5601i −0.00492453 0.0196801i
\(176\) −11.3413 + 6.54791i −0.00485729 + 0.00280436i
\(177\) 2251.83 + 202.873i 0.956259 + 0.0861519i
\(178\) 148.728 + 85.8680i 0.0626270 + 0.0361577i
\(179\) 2746.77i 1.14695i 0.819225 + 0.573473i \(0.194404\pi\)
−0.819225 + 0.573473i \(0.805596\pi\)
\(180\) 2196.98 + 399.103i 0.909740 + 0.165263i
\(181\) 738.434i 0.303245i −0.988438 0.151622i \(-0.951550\pi\)
0.988438 0.151622i \(-0.0484498\pi\)
\(182\) −138.286 + 133.768i −0.0563210 + 0.0544810i
\(183\) 890.177 412.299i 0.359583 0.166547i
\(184\) 666.524 + 1154.45i 0.267048 + 0.462541i
\(185\) −1043.64 1807.64i −0.414757 0.718380i
\(186\) −537.062 + 762.801i −0.211716 + 0.300706i
\(187\) −20.3359 11.7409i −0.00795245 0.00459135i
\(188\) 1029.54 0.399398
\(189\) 2281.18 1243.97i 0.877945 0.478761i
\(190\) −1044.98 −0.399005
\(191\) −2879.69 1662.59i −1.09093 0.629848i −0.157105 0.987582i \(-0.550216\pi\)
−0.933823 + 0.357734i \(0.883549\pi\)
\(192\) −959.247 + 1362.44i −0.360561 + 0.512113i
\(193\) 1660.75 + 2876.50i 0.619394 + 1.07282i 0.989596 + 0.143871i \(0.0459550\pi\)
−0.370202 + 0.928951i \(0.620712\pi\)
\(194\) 531.379 + 920.376i 0.196654 + 0.340614i
\(195\) −746.830 + 345.906i −0.274265 + 0.127030i
\(196\) −2261.23 + 1207.24i −0.824063 + 0.439957i
\(197\) 501.482i 0.181366i 0.995880 + 0.0906830i \(0.0289050\pi\)
−0.995880 + 0.0906830i \(0.971095\pi\)
\(198\) 3.21437 3.79079i 0.00115371 0.00136060i
\(199\) 4067.59i 1.44896i 0.689294 + 0.724482i \(0.257921\pi\)
−0.689294 + 0.724482i \(0.742079\pi\)
\(200\) −24.6633 14.2393i −0.00871978 0.00503437i
\(201\) 1918.44 + 172.837i 0.673215 + 0.0606518i
\(202\) 985.229 568.822i 0.343171 0.198130i
\(203\) 5151.58 1289.08i 1.78113 0.445692i
\(204\) −3580.77 322.602i −1.22894 0.110719i
\(205\) 589.213 1020.55i 0.200744 0.347698i
\(206\) −72.7943 −0.0246205
\(207\) 2444.42 + 2072.73i 0.820767 + 0.695965i
\(208\) 739.062i 0.246369i
\(209\) 16.4987 28.5766i 0.00546048 0.00945783i
\(210\) 763.636 119.590i 0.250933 0.0392976i
\(211\) −2456.95 4255.56i −0.801628 1.38846i −0.918544 0.395319i \(-0.870634\pi\)
0.116916 0.993142i \(-0.462699\pi\)
\(212\) −2713.58 + 1566.68i −0.879100 + 0.507549i
\(213\) 111.160 + 78.2635i 0.0357583 + 0.0251762i
\(214\) 200.821 347.832i 0.0641487 0.111109i
\(215\) 477.150 0.151355
\(216\) 419.574 1518.69i 0.132169 0.478396i
\(217\) 1259.03 4404.87i 0.393865 1.37798i
\(218\) −251.800 145.377i −0.0782296 0.0451659i
\(219\) −3095.39 2179.35i −0.955100 0.672452i
\(220\) −18.1649 + 10.4875i −0.00556672 + 0.00321394i
\(221\) 1147.66 662.599i 0.349320 0.201680i
\(222\) −645.461 + 298.956i −0.195137 + 0.0903810i
\(223\) −1033.31 596.580i −0.310293 0.179148i 0.336765 0.941589i \(-0.390667\pi\)
−0.647058 + 0.762441i \(0.724001\pi\)
\(224\) −648.027 + 2267.20i −0.193295 + 0.676265i
\(225\) −67.3657 12.2376i −0.0199602 0.00362597i
\(226\) −517.443 −0.152300
\(227\) 2804.31 4857.22i 0.819951 1.42020i −0.0857665 0.996315i \(-0.527334\pi\)
0.905718 0.423882i \(-0.139333\pi\)
\(228\) 453.330 5031.81i 0.131678 1.46158i
\(229\) −4618.56 + 2666.53i −1.33276 + 0.769472i −0.985722 0.168378i \(-0.946147\pi\)
−0.347042 + 0.937850i \(0.612814\pi\)
\(230\) 476.694 + 825.658i 0.136662 + 0.236706i
\(231\) −8.78631 + 22.7709i −0.00250258 + 0.00648579i
\(232\) 1610.08 2788.73i 0.455632 0.789179i
\(233\) 111.828i 0.0314424i −0.999876 0.0157212i \(-0.994996\pi\)
0.999876 0.0157212i \(-0.00500442\pi\)
\(234\) 94.5698 + 264.066i 0.0264197 + 0.0737715i
\(235\) 1524.54 0.423192
\(236\) −1625.87 + 2816.09i −0.448455 + 0.776746i
\(237\) −212.607 459.029i −0.0582713 0.125811i
\(238\) −1207.30 + 302.102i −0.328814 + 0.0822789i
\(239\) 4132.66 2385.99i 1.11849 0.645762i 0.177477 0.984125i \(-0.443206\pi\)
0.941016 + 0.338363i \(0.109873\pi\)
\(240\) −1709.30 + 2427.76i −0.459728 + 0.652963i
\(241\) 4621.37 + 2668.15i 1.23522 + 0.713156i 0.968114 0.250510i \(-0.0805984\pi\)
0.267109 + 0.963666i \(0.413932\pi\)
\(242\) 965.987i 0.256595i
\(243\) −281.371 3777.53i −0.0742797 0.997237i
\(244\) 1410.93i 0.370186i
\(245\) −3348.43 + 1787.68i −0.873156 + 0.466167i
\(246\) −328.375 231.198i −0.0851075 0.0599212i
\(247\) 931.104 + 1612.72i 0.239857 + 0.415445i
\(248\) −1389.00 2405.83i −0.355653 0.616008i
\(249\) 1752.99 + 3784.79i 0.446149 + 0.963258i
\(250\) −887.119 512.178i −0.224425 0.129572i
\(251\) 3081.73 0.774970 0.387485 0.921876i \(-0.373344\pi\)
0.387485 + 0.921876i \(0.373344\pi\)
\(252\) 244.574 + 3728.95i 0.0611377 + 0.932150i
\(253\) −30.1052 −0.00748101
\(254\) 64.2194 + 37.0771i 0.0158641 + 0.00915915i
\(255\) −5302.41 477.709i −1.30216 0.117315i
\(256\) −828.589 1435.16i −0.202292 0.350381i
\(257\) 1067.55 + 1849.05i 0.259113 + 0.448797i 0.966005 0.258525i \(-0.0832365\pi\)
−0.706892 + 0.707322i \(0.749903\pi\)
\(258\) 14.5909 161.954i 0.00352088 0.0390807i
\(259\) 2510.74 2428.71i 0.602354 0.582675i
\(260\) 1183.72i 0.282352i
\(261\) 1383.74 7617.20i 0.328166 1.80649i
\(262\) 343.189i 0.0809248i
\(263\) −1429.14 825.115i −0.335075 0.193455i 0.323017 0.946393i \(-0.395303\pi\)
−0.658092 + 0.752938i \(0.728636\pi\)
\(264\) 6.22015 + 13.4296i 0.00145009 + 0.00313082i
\(265\) −4018.27 + 2319.95i −0.931473 + 0.537786i
\(266\) −424.523 1696.54i −0.0978541 0.391058i
\(267\) −707.812 + 1005.32i −0.162238 + 0.230430i
\(268\) −1385.16 + 2399.16i −0.315716 + 0.546837i
\(269\) 5477.73 1.24157 0.620787 0.783979i \(-0.286813\pi\)
0.620787 + 0.783979i \(0.286813\pi\)
\(270\) 300.077 1086.16i 0.0676374 0.244820i
\(271\) 3607.16i 0.808558i 0.914636 + 0.404279i \(0.132477\pi\)
−0.914636 + 0.404279i \(0.867523\pi\)
\(272\) 2390.31 4140.15i 0.532846 0.922916i
\(273\) −864.981 1071.96i −0.191762 0.237649i
\(274\) 950.577 + 1646.45i 0.209586 + 0.363013i
\(275\) 0.556988 0.321577i 0.000122137 7.05158e-5i
\(276\) −4182.52 + 1937.20i −0.912167 + 0.422485i
\(277\) −1488.99 + 2579.00i −0.322977 + 0.559413i −0.981101 0.193497i \(-0.938017\pi\)
0.658124 + 0.752910i \(0.271350\pi\)
\(278\) 901.707 0.194535
\(279\) −5094.05 4319.47i −1.09309 0.926881i
\(280\) −632.554 + 2213.06i −0.135008 + 0.472342i
\(281\) −4936.36 2850.01i −1.04797 0.605043i −0.125886 0.992045i \(-0.540177\pi\)
−0.922079 + 0.387002i \(0.873511\pi\)
\(282\) 46.6192 517.458i 0.00984445 0.109270i
\(283\) 476.719 275.234i 0.100134 0.0578125i −0.449097 0.893483i \(-0.648254\pi\)
0.549231 + 0.835671i \(0.314921\pi\)
\(284\) −169.327 + 97.7611i −0.0353793 + 0.0204262i
\(285\) 671.291 7451.11i 0.139522 1.54865i
\(286\) −2.28178 1.31739i −0.000471763 0.000272373i
\(287\) 1896.23 + 541.996i 0.390004 + 0.111474i
\(288\) 2621.92 + 2223.24i 0.536452 + 0.454881i
\(289\) 3659.06 0.744771
\(290\) 1151.52 1994.49i 0.233170 0.403863i
\(291\) −6903.98 + 3197.69i −1.39078 + 0.644164i
\(292\) 4715.14 2722.29i 0.944976 0.545582i
\(293\) 3915.00 + 6780.98i 0.780603 + 1.35204i 0.931591 + 0.363508i \(0.118421\pi\)
−0.150988 + 0.988536i \(0.548246\pi\)
\(294\) 504.382 + 1191.19i 0.100055 + 0.236297i
\(295\) −2407.59 + 4170.08i −0.475171 + 0.823021i
\(296\) 2118.22i 0.415943i
\(297\) 24.9648 + 25.3548i 0.00487746 + 0.00495366i
\(298\) 816.195 0.158661
\(299\) 849.492 1471.36i 0.164306 0.284586i
\(300\) 56.6897 80.5177i 0.0109099 0.0154956i
\(301\) 193.842 + 774.658i 0.0371192 + 0.148341i
\(302\) 298.940 172.593i 0.0569604 0.0328861i
\(303\) 3423.01 + 7390.46i 0.648999 + 1.40122i
\(304\) 5817.86 + 3358.94i 1.09762 + 0.633712i
\(305\) 2089.30i 0.392240i
\(306\) −324.287 + 1785.13i −0.0605825 + 0.333494i
\(307\) 5845.06i 1.08663i 0.839529 + 0.543315i \(0.182831\pi\)
−0.839529 + 0.543315i \(0.817169\pi\)
\(308\) −24.4060 25.2303i −0.00451514 0.00466764i
\(309\) 46.7627 519.050i 0.00860917 0.0955591i
\(310\) −993.407 1720.63i −0.182006 0.315243i
\(311\) −2909.85 5040.01i −0.530554 0.918947i −0.999364 0.0356482i \(-0.988650\pi\)
0.468810 0.883299i \(-0.344683\pi\)
\(312\) −831.878 74.9462i −0.150948 0.0135993i
\(313\) −5754.23 3322.21i −1.03913 0.599943i −0.119545 0.992829i \(-0.538143\pi\)
−0.919587 + 0.392886i \(0.871477\pi\)
\(314\) 1403.19 0.252187
\(315\) 362.165 + 5521.83i 0.0647800 + 0.987682i
\(316\) 727.561 0.129521
\(317\) 5206.82 + 3006.16i 0.922536 + 0.532626i 0.884443 0.466648i \(-0.154538\pi\)
0.0380927 + 0.999274i \(0.487872\pi\)
\(318\) 664.559 + 1434.82i 0.117191 + 0.253021i
\(319\) 36.3615 + 62.9800i 0.00638198 + 0.0110539i
\(320\) −1774.33 3073.22i −0.309962 0.536870i
\(321\) 2351.16 + 1655.37i 0.408814 + 0.287831i
\(322\) −1146.81 + 1109.34i −0.198475 + 0.191991i
\(323\) 12045.7i 2.07505i
\(324\) 5099.89 + 1916.13i 0.874468 + 0.328554i
\(325\) 36.2964i 0.00619496i
\(326\) −467.221 269.750i −0.0793772 0.0458285i
\(327\) 1198.35 1702.04i 0.202657 0.287838i
\(328\) 1035.68 597.947i 0.174346 0.100659i
\(329\) 619.344 + 2475.11i 0.103786 + 0.414763i
\(330\) 4.44861 + 9.60479i 0.000742085 + 0.00160220i
\(331\) 1371.24 2375.06i 0.227705 0.394397i −0.729422 0.684064i \(-0.760211\pi\)
0.957128 + 0.289667i \(0.0935444\pi\)
\(332\) −5998.89 −0.991662
\(333\) −1717.02 4794.42i −0.282560 0.788988i
\(334\) 2629.70i 0.430811i
\(335\) −2051.14 + 3552.68i −0.334525 + 0.579414i
\(336\) −4635.89 1788.79i −0.752704 0.290436i
\(337\) 1953.27 + 3383.16i 0.315731 + 0.546862i 0.979593 0.200993i \(-0.0644169\pi\)
−0.663862 + 0.747856i \(0.731084\pi\)
\(338\) −1252.17 + 722.940i −0.201506 + 0.116339i
\(339\) 332.402 3689.56i 0.0532555 0.591119i
\(340\) 3828.47 6631.10i 0.610670 1.05771i
\(341\) 62.7377 0.00996316
\(342\) −2508.52 455.698i −0.396624 0.0720506i
\(343\) −4262.62 4709.96i −0.671019 0.741440i
\(344\) 419.350 + 242.112i 0.0657262 + 0.0379471i
\(345\) −6193.48 + 2868.61i −0.966509 + 0.447654i
\(346\) −2072.36 + 1196.48i −0.321996 + 0.185904i
\(347\) −509.871 + 294.374i −0.0788799 + 0.0455413i −0.538921 0.842356i \(-0.681168\pi\)
0.460041 + 0.887898i \(0.347835\pi\)
\(348\) 9104.33 + 6410.04i 1.40242 + 0.987397i
\(349\) −6360.33 3672.14i −0.975532 0.563224i −0.0746138 0.997213i \(-0.523772\pi\)
−0.900918 + 0.433989i \(0.857106\pi\)
\(350\) 9.36780 32.7743i 0.00143066 0.00500532i
\(351\) −1943.64 + 504.683i −0.295566 + 0.0767464i
\(352\) −32.2913 −0.00488957
\(353\) −4370.77 + 7570.40i −0.659016 + 1.14145i 0.321855 + 0.946789i \(0.395694\pi\)
−0.980871 + 0.194660i \(0.937640\pi\)
\(354\) 1341.78 + 944.701i 0.201454 + 0.141837i
\(355\) −250.740 + 144.765i −0.0374870 + 0.0216431i
\(356\) −884.148 1531.39i −0.131628 0.227987i
\(357\) −1378.54 8802.58i −0.204369 1.30499i
\(358\) −996.797 + 1726.50i −0.147157 + 0.254884i
\(359\) 7817.81i 1.14933i −0.818390 0.574663i \(-0.805133\pi\)
0.818390 0.574663i \(-0.194867\pi\)
\(360\) 2559.32 + 2170.16i 0.374689 + 0.317715i
\(361\) −10068.0 −1.46785
\(362\) 267.976 464.148i 0.0389075 0.0673897i
\(363\) 6887.85 + 620.545i 0.995918 + 0.0897249i
\(364\) 1921.79 480.887i 0.276728 0.0692454i
\(365\) 6982.19 4031.17i 1.00127 0.578085i
\(366\) 709.150 + 63.8892i 0.101278 + 0.00912443i
\(367\) −2084.12 1203.27i −0.296431 0.171145i 0.344407 0.938820i \(-0.388080\pi\)
−0.640839 + 0.767676i \(0.721413\pi\)
\(368\) 6129.05i 0.868204i
\(369\) 1859.47 2192.92i 0.262331 0.309374i
\(370\) 1514.94i 0.212859i
\(371\) −5398.87 5581.22i −0.755514 0.781031i
\(372\) 8716.16 4037.03i 1.21482 0.562662i
\(373\) −2185.08 3784.67i −0.303322 0.525370i 0.673564 0.739129i \(-0.264763\pi\)
−0.976886 + 0.213759i \(0.931429\pi\)
\(374\) −8.52152 14.7597i −0.00117817 0.00204066i
\(375\) 4221.90 5996.47i 0.581381 0.825750i
\(376\) 1339.86 + 773.570i 0.183772 + 0.106101i
\(377\) −4104.12 −0.560671
\(378\) 1885.29 + 45.9274i 0.256531 + 0.00624934i
\(379\) 11260.9 1.52620 0.763102 0.646278i \(-0.223675\pi\)
0.763102 + 0.646278i \(0.223675\pi\)
\(380\) 9318.22 + 5379.88i 1.25793 + 0.726268i
\(381\) −305.628 + 434.090i −0.0410965 + 0.0583704i
\(382\) −1206.70 2090.07i −0.161624 0.279940i
\(383\) 1486.57 + 2574.82i 0.198330 + 0.343517i 0.947987 0.318309i \(-0.103115\pi\)
−0.749657 + 0.661826i \(0.769782\pi\)
\(384\) −5899.83 + 2732.60i −0.784048 + 0.363144i
\(385\) −36.1405 37.3611i −0.00478413 0.00494571i
\(386\) 2410.72i 0.317882i
\(387\) 1145.42 + 208.077i 0.150452 + 0.0273311i
\(388\) 10942.8i 1.43179i
\(389\) −5714.27 3299.13i −0.744794 0.430007i 0.0790159 0.996873i \(-0.474822\pi\)
−0.823810 + 0.566866i \(0.808156\pi\)
\(390\) −594.954 53.6010i −0.0772479 0.00695947i
\(391\) 9517.53 5494.95i 1.23100 0.710720i
\(392\) −3849.90 127.903i −0.496044 0.0164798i
\(393\) −2447.07 220.463i −0.314092 0.0282974i
\(394\) −181.987 + 315.210i −0.0232699 + 0.0403047i
\(395\) 1077.37 0.137237
\(396\) −48.1790 + 17.2543i −0.00611385 + 0.00218955i
\(397\) 5908.48i 0.746947i 0.927641 + 0.373474i \(0.121833\pi\)
−0.927641 + 0.373474i \(0.878167\pi\)
\(398\) −1476.12 + 2556.71i −0.185907 + 0.322001i
\(399\) 12369.7 1937.16i 1.55202 0.243056i
\(400\) 65.4693 + 113.396i 0.00818366 + 0.0141745i
\(401\) −4847.53 + 2798.72i −0.603676 + 0.348532i −0.770486 0.637457i \(-0.779986\pi\)
0.166811 + 0.985989i \(0.446653\pi\)
\(402\) 1143.13 + 804.835i 0.141826 + 0.0998546i
\(403\) −1770.30 + 3066.25i −0.218821 + 0.379009i
\(404\) −11713.9 −1.44254
\(405\) 7551.93 + 2837.40i 0.926564 + 0.348127i
\(406\) 3705.87 + 1059.24i 0.453003 + 0.129481i
\(407\) 41.4283 + 23.9187i 0.00504552 + 0.00291303i
\(408\) −4417.70 3110.35i −0.536051 0.377415i
\(409\) −948.568 + 547.656i −0.114679 + 0.0662099i −0.556242 0.831020i \(-0.687757\pi\)
0.441563 + 0.897230i \(0.354424\pi\)
\(410\) 740.708 427.648i 0.0892219 0.0515123i
\(411\) −12350.4 + 5720.30i −1.48224 + 0.686525i
\(412\) 649.115 + 374.767i 0.0776204 + 0.0448141i
\(413\) −7748.24 2214.66i −0.923162 0.263865i
\(414\) 784.269 + 2189.90i 0.0931031 + 0.259971i
\(415\) −8883.16 −1.05074
\(416\) 911.178 1578.21i 0.107390 0.186005i
\(417\) −579.251 + 6429.50i −0.0680241 + 0.755046i
\(418\) 20.7408 11.9747i 0.00242695 0.00140120i
\(419\) −6796.78 11772.4i −0.792468 1.37260i −0.924434 0.381341i \(-0.875462\pi\)
0.131966 0.991254i \(-0.457871\pi\)
\(420\) −7425.11 2865.03i −0.862639 0.332855i
\(421\) 2842.13 4922.72i 0.329019 0.569878i −0.653298 0.757101i \(-0.726615\pi\)
0.982318 + 0.187222i \(0.0599485\pi\)
\(422\) 3566.49i 0.411407i
\(423\) 3659.72 + 664.825i 0.420666 + 0.0764182i
\(424\) −4708.68 −0.539324
\(425\) −117.392 + 203.329i −0.0133984 + 0.0232068i
\(426\) 41.4685 + 89.5327i 0.00471633 + 0.0101828i
\(427\) −3392.00 + 848.778i −0.384427 + 0.0961949i
\(428\) −3581.48 + 2067.77i −0.404480 + 0.233527i
\(429\) 10.8592 15.4236i 0.00122212 0.00173581i
\(430\) 299.916 + 173.157i 0.0336355 + 0.0194194i
\(431\) 4806.22i 0.537140i 0.963260 + 0.268570i \(0.0865511\pi\)
−0.963260 + 0.268570i \(0.913449\pi\)
\(432\) −5161.95 + 5082.54i −0.574894 + 0.566050i
\(433\) 9621.49i 1.06785i −0.845532 0.533925i \(-0.820716\pi\)
0.845532 0.533925i \(-0.179284\pi\)
\(434\) 2389.89 2311.81i 0.264328 0.255692i
\(435\) 13481.7 + 9491.99i 1.48597 + 1.04622i
\(436\) 1496.89 + 2592.68i 0.164422 + 0.284787i
\(437\) 7721.67 + 13374.3i 0.845257 + 1.46403i
\(438\) −1154.75 2493.16i −0.125972 0.271981i
\(439\) 11200.0 + 6466.31i 1.21764 + 0.703007i 0.964413 0.264399i \(-0.0851737\pi\)
0.253230 + 0.967406i \(0.418507\pi\)
\(440\) −31.5202 −0.00341516
\(441\) −8817.61 + 2831.22i −0.952123 + 0.305714i
\(442\) 961.823 0.103505
\(443\) 11401.0 + 6582.35i 1.22275 + 0.705953i 0.965502 0.260394i \(-0.0838524\pi\)
0.257244 + 0.966347i \(0.417186\pi\)
\(444\) 7294.76 + 657.205i 0.779716 + 0.0702467i
\(445\) −1309.25 2267.68i −0.139470 0.241569i
\(446\) −432.995 749.969i −0.0459706 0.0796235i
\(447\) −524.319 + 5819.78i −0.0554798 + 0.615807i
\(448\) 4268.59 4129.13i 0.450160 0.435453i
\(449\) 7787.86i 0.818557i 0.912410 + 0.409278i \(0.134219\pi\)
−0.912410 + 0.409278i \(0.865781\pi\)
\(450\) −37.9022 32.1389i −0.00397050 0.00336676i
\(451\) 27.0077i 0.00281983i
\(452\) 4614.09 + 2663.95i 0.480152 + 0.277216i
\(453\) 1038.61 + 2242.42i 0.107723 + 0.232579i
\(454\) 3525.34 2035.36i 0.364433 0.210406i
\(455\) 2845.78 712.098i 0.293214 0.0733707i
\(456\) 4370.75 6207.88i 0.448858 0.637524i
\(457\) −2408.56 + 4171.76i −0.246538 + 0.427017i −0.962563 0.271058i \(-0.912626\pi\)
0.716025 + 0.698075i \(0.245960\pi\)
\(458\) −3870.71 −0.394904
\(459\) −12520.3 3459.05i −1.27320 0.351753i
\(460\) 9816.65i 0.995008i
\(461\) −25.6446 + 44.4177i −0.00259086 + 0.00448750i −0.867318 0.497755i \(-0.834158\pi\)
0.864727 + 0.502242i \(0.167491\pi\)
\(462\) −13.7862 + 11.1243i −0.00138830 + 0.00112024i
\(463\) 4787.43 + 8292.07i 0.480542 + 0.832322i 0.999751 0.0223247i \(-0.00710677\pi\)
−0.519209 + 0.854647i \(0.673773\pi\)
\(464\) −12822.0 + 7402.77i −1.28286 + 0.740657i
\(465\) 12906.9 5978.04i 1.28719 0.596183i
\(466\) 40.5820 70.2901i 0.00403418 0.00698740i
\(467\) 12806.5 1.26898 0.634492 0.772929i \(-0.281209\pi\)
0.634492 + 0.772929i \(0.281209\pi\)
\(468\) 516.201 2841.58i 0.0509859 0.280667i
\(469\) −6601.09 1886.77i −0.649915 0.185764i
\(470\) 958.262 + 553.253i 0.0940453 + 0.0542971i
\(471\) −901.404 + 10005.3i −0.0881837 + 0.978811i
\(472\) −4231.89 + 2443.28i −0.412688 + 0.238265i
\(473\) −9.47047 + 5.46778i −0.000920619 + 0.000531520i
\(474\) 32.9452 365.681i 0.00319245 0.0354352i
\(475\) −285.723 164.962i −0.0275998 0.0159347i
\(476\) 12321.0 + 3521.67i 1.18641 + 0.339108i
\(477\) −10657.7 + 3816.84i −1.02302 + 0.366375i
\(478\) 3463.49 0.331415
\(479\) −2542.79 + 4404.24i −0.242553 + 0.420114i −0.961441 0.275012i \(-0.911318\pi\)
0.718888 + 0.695126i \(0.244652\pi\)
\(480\) −6643.21 + 3076.91i −0.631708 + 0.292586i
\(481\) −2338.01 + 1349.85i −0.221630 + 0.127958i
\(482\) 1936.53 + 3354.17i 0.183001 + 0.316967i
\(483\) −7173.30 8889.79i −0.675769 0.837473i
\(484\) −4973.19 + 8613.81i −0.467054 + 0.808961i
\(485\) 16204.1i 1.51709i
\(486\) 1194.00 2476.50i 0.111442 0.231145i
\(487\) 16991.3 1.58100 0.790501 0.612461i \(-0.209820\pi\)
0.790501 + 0.612461i \(0.209820\pi\)
\(488\) −1060.14 + 1836.21i −0.0983405 + 0.170331i
\(489\) 2223.56 3158.17i 0.205629 0.292060i
\(490\) −2753.43 91.4755i −0.253851 0.00843355i
\(491\) 8055.59 4650.90i 0.740415 0.427479i −0.0818052 0.996648i \(-0.526069\pi\)
0.822220 + 0.569170i \(0.192735\pi\)
\(492\) 1737.89 + 3752.19i 0.159248 + 0.343825i
\(493\) −22990.8 13273.8i −2.10032 1.21262i
\(494\) 1351.58i 0.123098i
\(495\) −71.3435 + 25.5502i −0.00647808 + 0.00231999i
\(496\) 12772.6i 1.15627i
\(497\) −336.890 348.268i −0.0304056 0.0314325i
\(498\) −271.640 + 3015.11i −0.0244427 + 0.271306i
\(499\) 250.332 + 433.588i 0.0224577 + 0.0388979i 0.877036 0.480425i \(-0.159518\pi\)
−0.854578 + 0.519323i \(0.826184\pi\)
\(500\) 5273.69 + 9134.30i 0.471693 + 0.816997i
\(501\) 18750.7 + 1689.30i 1.67210 + 0.150644i
\(502\) 1937.05 + 1118.35i 0.172220 + 0.0994315i
\(503\) −3581.09 −0.317441 −0.158721 0.987324i \(-0.550737\pi\)
−0.158721 + 0.987324i \(0.550737\pi\)
\(504\) −2483.55 + 5036.70i −0.219496 + 0.445144i
\(505\) −17345.9 −1.52848
\(506\) −18.9228 10.9251i −0.00166249 0.000959842i
\(507\) −4350.44 9392.84i −0.381085 0.822782i
\(508\) −381.768 661.241i −0.0333429 0.0577516i
\(509\) −5085.37 8808.13i −0.442839 0.767020i 0.555060 0.831811i \(-0.312695\pi\)
−0.997899 + 0.0647904i \(0.979362\pi\)
\(510\) −3159.51 2224.50i −0.274325 0.193142i
\(511\) 9381.15 + 9697.99i 0.812128 + 0.839557i
\(512\) 11213.1i 0.967882i
\(513\) 4860.76 17594.0i 0.418338 1.51421i
\(514\) 1549.65i 0.132981i
\(515\) 961.210 + 554.955i 0.0822446 + 0.0474839i
\(516\) −963.895 + 1369.04i −0.0822348 + 0.116800i
\(517\) −30.2591 + 17.4701i −0.00257407 + 0.00148614i
\(518\) 2459.52 615.443i 0.208620 0.0522027i
\(519\) −7200.05 15545.3i −0.608954 1.31476i
\(520\) 889.422 1540.52i 0.0750072 0.129916i
\(521\) −389.899 −0.0327865 −0.0163933 0.999866i \(-0.505218\pi\)
−0.0163933 + 0.999866i \(0.505218\pi\)
\(522\) 3634.02 4285.69i 0.304707 0.359348i
\(523\) 14306.4i 1.19613i 0.801448 + 0.598065i \(0.204063\pi\)
−0.801448 + 0.598065i \(0.795937\pi\)
\(524\) 1766.84 3060.25i 0.147299 0.255130i
\(525\) 227.675 + 87.8500i 0.0189268 + 0.00730302i
\(526\) −598.865 1037.26i −0.0496421 0.0859827i
\(527\) −19834.1 + 11451.2i −1.63944 + 0.946532i
\(528\) 6.10589 67.7734i 0.000503266 0.00558609i
\(529\) 961.351 1665.11i 0.0790130 0.136854i
\(530\) −3367.62 −0.276000
\(531\) −7598.02 + 8960.53i −0.620953 + 0.732305i
\(532\) −4948.76 + 17313.8i −0.403301 + 1.41099i
\(533\) −1319.98 762.090i −0.107269 0.0619320i
\(534\) −809.730 + 375.039i −0.0656188 + 0.0303924i
\(535\) −5303.46 + 3061.96i −0.428577 + 0.247439i
\(536\) −3605.35 + 2081.55i −0.290536 + 0.167741i
\(537\) −11670.3 8216.63i −0.937820 0.660286i
\(538\) 3443.07 + 1987.86i 0.275913 + 0.159299i
\(539\) 45.9740 73.8523i 0.00367392 0.00590175i
\(540\) −8267.67 + 8140.49i −0.658859 + 0.648724i
\(541\) 21775.6 1.73051 0.865257 0.501328i \(-0.167155\pi\)
0.865257 + 0.501328i \(0.167155\pi\)
\(542\) −1309.03 + 2267.30i −0.103741 + 0.179685i
\(543\) 3137.40 + 2208.93i 0.247954 + 0.174575i
\(544\) 10208.6 5893.96i 0.804581 0.464525i
\(545\) 2216.59 + 3839.25i 0.174217 + 0.301753i
\(546\) −154.678 987.689i −0.0121238 0.0774161i
\(547\) 8960.85 15520.7i 0.700436 1.21319i −0.267878 0.963453i \(-0.586322\pi\)
0.968314 0.249738i \(-0.0803444\pi\)
\(548\) 19575.4i 1.52595i
\(549\) −911.107 + 5015.46i −0.0708290 + 0.389899i
\(550\) 0.466799 3.61897e−5
\(551\) 18652.7 32307.4i 1.44216 2.49790i
\(552\) −6898.78 621.530i −0.531941 0.0479240i
\(553\) 437.682 + 1749.12i 0.0336566 + 0.134503i
\(554\) −1871.83 + 1080.70i −0.143550 + 0.0828783i
\(555\) 10802.1 + 973.189i 0.826168 + 0.0744317i
\(556\) −8040.62 4642.25i −0.613306 0.354092i
\(557\) 19309.8i 1.46891i −0.678657 0.734455i \(-0.737438\pi\)
0.678657 0.734455i \(-0.262562\pi\)
\(558\) −1634.38 4563.65i −0.123994 0.346227i
\(559\) 617.148i 0.0466951i
\(560\) 7606.28 7357.77i 0.573971 0.555219i
\(561\) 110.716 51.2801i 0.00833235 0.00385926i
\(562\) −2068.52 3582.78i −0.155259 0.268916i
\(563\) 3232.24 + 5598.41i 0.241959 + 0.419085i 0.961272 0.275601i \(-0.0888768\pi\)
−0.719313 + 0.694686i \(0.755543\pi\)
\(564\) −3079.74 + 4374.23i −0.229930 + 0.326575i
\(565\) 6832.55 + 3944.78i 0.508757 + 0.293731i
\(566\) 399.527 0.0296702
\(567\) −1538.58 + 13413.3i −0.113958 + 0.993486i
\(568\) −293.821 −0.0217050
\(569\) 17286.9 + 9980.61i 1.27365 + 0.735341i 0.975673 0.219233i \(-0.0703555\pi\)
0.297975 + 0.954574i \(0.403689\pi\)
\(570\) 3125.94 4439.84i 0.229704 0.326253i
\(571\) 6257.56 + 10838.4i 0.458617 + 0.794349i 0.998888 0.0471426i \(-0.0150115\pi\)
−0.540271 + 0.841491i \(0.681678\pi\)
\(572\) 13.5646 + 23.4945i 0.000991545 + 0.00171741i
\(573\) 15678.1 7261.58i 1.14304 0.529419i
\(574\) 995.203 + 1028.82i 0.0723675 + 0.0748117i
\(575\) 301.007i 0.0218310i
\(576\) −2919.17 8151.15i −0.211166 0.589638i
\(577\) 547.118i 0.0394746i −0.999805 0.0197373i \(-0.993717\pi\)
0.999805 0.0197373i \(-0.00628298\pi\)
\(578\) 2299.93 + 1327.87i 0.165509 + 0.0955569i
\(579\) −17189.4 1548.64i −1.23379 0.111156i
\(580\) −20536.4 + 11856.7i −1.47022 + 0.848832i
\(581\) −3608.77 14421.9i −0.257689 1.02981i
\(582\) −5499.98 495.508i −0.391721 0.0352912i
\(583\) 53.1697 92.0926i 0.00377712 0.00654217i
\(584\) 8181.85 0.579739
\(585\) 764.391 4207.81i 0.0540234 0.297387i
\(586\) 5682.98i 0.400617i
\(587\) 902.414 1563.03i 0.0634525 0.109903i −0.832554 0.553944i \(-0.813122\pi\)
0.896006 + 0.444041i \(0.146456\pi\)
\(588\) 1634.95 13218.6i 0.114667 0.927088i
\(589\) −16091.6 27871.4i −1.12571 1.94978i
\(590\) −3026.62 + 1747.42i −0.211193 + 0.121933i
\(591\) −2130.66 1500.12i −0.148297 0.104411i
\(592\) −4869.55 + 8434.31i −0.338070 + 0.585554i
\(593\) 20359.7 1.40990 0.704951 0.709256i \(-0.250969\pi\)
0.704951 + 0.709256i \(0.250969\pi\)
\(594\) 6.49060 + 24.9967i 0.000448338 + 0.00172664i
\(595\) 18244.9 + 5214.89i 1.25709 + 0.359311i
\(596\) −7278.10 4202.01i −0.500206 0.288794i
\(597\) −17282.1 12167.7i −1.18477 0.834155i
\(598\) 1067.91 616.557i 0.0730268 0.0421620i
\(599\) −3739.33 + 2158.90i −0.255067 + 0.147263i −0.622082 0.782952i \(-0.713713\pi\)
0.367015 + 0.930215i \(0.380380\pi\)
\(600\) 134.276 62.1922i 0.00913634 0.00423164i
\(601\) 6928.17 + 3999.98i 0.470227 + 0.271485i 0.716335 0.697757i \(-0.245818\pi\)
−0.246108 + 0.969242i \(0.579152\pi\)
\(602\) −159.281 + 557.262i −0.0107837 + 0.0377281i
\(603\) −6473.11 + 7633.90i −0.437157 + 0.515549i
\(604\) −3554.24 −0.239437
\(605\) −7364.30 + 12755.3i −0.494878 + 0.857154i
\(606\) −530.423 + 5887.53i −0.0355561 + 0.394661i
\(607\) −3079.67 + 1778.05i −0.205931 + 0.118894i −0.599419 0.800435i \(-0.704602\pi\)
0.393488 + 0.919330i \(0.371268\pi\)
\(608\) 8282.37 + 14345.5i 0.552458 + 0.956886i
\(609\) −9933.40 + 25743.8i −0.660955 + 1.71296i
\(610\) −758.204 + 1313.25i −0.0503258 + 0.0871669i
\(611\) 1971.85i 0.130560i
\(612\) 12082.1 14248.7i 0.798022 0.941127i
\(613\) −7113.75 −0.468714 −0.234357 0.972151i \(-0.575298\pi\)
−0.234357 + 0.972151i \(0.575298\pi\)
\(614\) −2121.16 + 3673.96i −0.139419 + 0.241480i
\(615\) 2573.46 + 5556.25i 0.168735 + 0.364308i
\(616\) −12.8051 51.1734i −0.000837551 0.00334714i
\(617\) 790.942 456.650i 0.0516080 0.0297959i −0.473974 0.880539i \(-0.657181\pi\)
0.525582 + 0.850743i \(0.323848\pi\)
\(618\) 217.755 309.283i 0.0141738 0.0201314i
\(619\) −819.836 473.333i −0.0532342 0.0307348i 0.473147 0.880984i \(-0.343118\pi\)
−0.526381 + 0.850249i \(0.676451\pi\)
\(620\) 20457.4i 1.32514i
\(621\) −16118.6 + 4185.35i −1.04158 + 0.270454i
\(622\) 4223.91i 0.272288i
\(623\) 3149.72 3046.82i 0.202554 0.195936i
\(624\) 3140.07 + 2210.81i 0.201448 + 0.141832i
\(625\) 7650.79 + 13251.6i 0.489651 + 0.848100i
\(626\) −2411.24 4176.39i −0.153950 0.266649i
\(627\) 72.0603 + 155.582i 0.00458981 + 0.00990964i
\(628\) −12512.4 7224.06i −0.795065 0.459031i
\(629\) −17463.0 −1.10699
\(630\) −1776.22 + 3602.22i −0.112327 + 0.227803i
\(631\) 3209.46 0.202482 0.101241 0.994862i \(-0.467719\pi\)
0.101241 + 0.994862i \(0.467719\pi\)
\(632\) 946.863 + 546.671i 0.0595952 + 0.0344073i
\(633\) 25430.4 + 2291.09i 1.59679 + 0.143859i
\(634\) 2181.85 + 3779.08i 0.136676 + 0.236730i
\(635\) −565.322 979.167i −0.0353293 0.0611922i
\(636\) 1460.92 16215.8i 0.0910840 1.01100i
\(637\) 2312.20 + 4330.87i 0.143819 + 0.269380i
\(638\) 52.7820i 0.00327533i
\(639\) −665.040 + 238.170i −0.0411715 + 0.0147447i
\(640\) 13847.3i 0.855253i
\(641\) 12387.1 + 7151.71i 0.763279 + 0.440679i 0.830472 0.557061i \(-0.188071\pi\)
−0.0671928 + 0.997740i \(0.521404\pi\)
\(642\) 877.111 + 1893.73i 0.0539202 + 0.116417i
\(643\) −844.276 + 487.443i −0.0517807 + 0.0298956i −0.525667 0.850691i \(-0.676184\pi\)
0.473886 + 0.880586i \(0.342851\pi\)
\(644\) 15937.4 3988.01i 0.975190 0.244021i
\(645\) −1427.34 + 2027.28i −0.0871339 + 0.123758i
\(646\) −4371.36 + 7571.43i −0.266237 + 0.461136i
\(647\) −12668.5 −0.769783 −0.384891 0.922962i \(-0.625761\pi\)
−0.384891 + 0.922962i \(0.625761\pi\)
\(648\) 5197.38 + 6325.62i 0.315081 + 0.383478i
\(649\) 110.357i 0.00667470i
\(650\) −13.1719 + 22.8144i −0.000794836 + 0.00137670i
\(651\) 14948.8 + 18525.9i 0.899985 + 1.11534i
\(652\) 2777.51 + 4810.78i 0.166834 + 0.288964i
\(653\) −13746.7 + 7936.65i −0.823812 + 0.475628i −0.851729 0.523982i \(-0.824446\pi\)
0.0279172 + 0.999610i \(0.491113\pi\)
\(654\) 1370.90 634.952i 0.0819668 0.0379642i
\(655\) 2616.34 4531.63i 0.156074 0.270329i
\(656\) −5498.45 −0.327254
\(657\) 18518.9 6632.18i 1.09968 0.393829i
\(658\) −508.918 + 1780.50i −0.0301515 + 0.105488i
\(659\) −26410.9 15248.4i −1.56119 0.901353i −0.997137 0.0756145i \(-0.975908\pi\)
−0.564053 0.825739i \(-0.690759\pi\)
\(660\) 9.77954 108.550i 0.000576770 0.00640196i
\(661\) 14464.7 8351.23i 0.851155 0.491415i −0.00988528 0.999951i \(-0.503147\pi\)
0.861040 + 0.508536i \(0.169813\pi\)
\(662\) 1723.81 995.243i 0.101205 0.0584308i
\(663\) −617.870 + 6858.16i −0.0361932 + 0.401733i
\(664\) −7807.08 4507.42i −0.456285 0.263436i
\(665\) −7328.13 + 25638.3i −0.427327 + 1.49505i
\(666\) 660.638 3636.67i 0.0384372 0.211589i
\(667\) −34035.5 −1.97580
\(668\) −13538.5 + 23449.3i −0.784160 + 1.35821i
\(669\) 5625.71 2605.64i 0.325116 0.150583i
\(670\) −2578.52 + 1488.71i −0.148682 + 0.0858416i
\(671\) −23.9418 41.4685i −0.00137744 0.00238580i
\(672\) −7694.19 9535.33i −0.441681 0.547371i
\(673\) −12445.2 + 21555.7i −0.712820 + 1.23464i 0.250975 + 0.967994i \(0.419249\pi\)
−0.963794 + 0.266646i \(0.914084\pi\)
\(674\) 2835.35i 0.162038i
\(675\) 253.511 249.611i 0.0144557 0.0142334i
\(676\) 14887.6 0.847043
\(677\) −756.276 + 1309.91i −0.0429336 + 0.0743632i −0.886694 0.462357i \(-0.847004\pi\)
0.843760 + 0.536721i \(0.180337\pi\)
\(678\) 1547.87 2198.47i 0.0876776 0.124531i
\(679\) 26307.5 6582.90i 1.48688 0.372060i
\(680\) 9964.90 5753.23i 0.561965 0.324451i
\(681\) 12248.2 + 26444.5i 0.689210 + 1.48804i
\(682\) 39.4342 + 22.7674i 0.00221410 + 0.00127831i
\(683\) 2180.44i 0.122156i 0.998133 + 0.0610778i \(0.0194538\pi\)
−0.998133 + 0.0610778i \(0.980546\pi\)
\(684\) 20022.7 + 16978.1i 1.11928 + 0.949086i
\(685\) 28987.3i 1.61686i
\(686\) −970.066 4507.37i −0.0539902 0.250863i
\(687\) 2486.52 27599.6i 0.138088 1.53274i
\(688\) −1113.17 1928.08i −0.0616852 0.106842i
\(689\) 3000.63 + 5197.24i 0.165914 + 0.287372i
\(690\) −4933.97 444.514i −0.272222 0.0245252i
\(691\) 24166.2 + 13952.4i 1.33043 + 0.768124i 0.985365 0.170455i \(-0.0545237\pi\)
0.345064 + 0.938579i \(0.387857\pi\)
\(692\) 24639.2 1.35353
\(693\) −70.4642 105.447i −0.00386250 0.00578009i
\(694\) −427.311 −0.0233725
\(695\) −11906.6 6874.25i −0.649844 0.375187i
\(696\) 7032.22 + 15182.9i 0.382982 + 0.826879i
\(697\) −4929.59 8538.30i −0.267893 0.464004i
\(698\) −2665.22 4616.30i −0.144527 0.250329i
\(699\) 475.125 + 334.519i 0.0257094 + 0.0181011i
\(700\) −252.266 + 244.024i −0.0136211 + 0.0131761i
\(701\) 15696.6i 0.845722i 0.906195 + 0.422861i \(0.138974\pi\)
−0.906195 + 0.422861i \(0.861026\pi\)
\(702\) −1404.84 388.120i −0.0755302 0.0208670i
\(703\) 24539.6i 1.31654i
\(704\) 70.4336 + 40.6648i 0.00377069 + 0.00217701i
\(705\) −4560.48 + 6477.36i −0.243628 + 0.346030i
\(706\) −5494.56 + 3172.29i −0.292904 + 0.169108i
\(707\) −7046.76 28161.2i −0.374852 1.49804i
\(708\) −7101.21 15331.9i −0.376949 0.813853i
\(709\) 9253.46 16027.5i 0.490157 0.848976i −0.509779 0.860305i \(-0.670273\pi\)
0.999936 + 0.0113291i \(0.00360624\pi\)
\(710\) −210.139 −0.0111076
\(711\) 2586.28 + 469.823i 0.136418 + 0.0247816i
\(712\) 2657.31i 0.139869i
\(713\) −14681.1 + 25428.5i −0.771126 + 1.33563i
\(714\) 2327.95 6033.20i 0.122019 0.316228i
\(715\) 20.0864 + 34.7907i 0.00105062 + 0.00181972i
\(716\) 17777.1 10263.6i 0.927879 0.535711i
\(717\) −2224.93 + 24696.0i −0.115888 + 1.28631i
\(718\) 2837.06 4913.94i 0.147463 0.255413i
\(719\) −12998.8 −0.674232 −0.337116 0.941463i \(-0.609451\pi\)
−0.337116 + 0.941463i \(0.609451\pi\)
\(720\) −5201.72 14524.7i −0.269245 0.751810i
\(721\) −510.483 + 1785.98i −0.0263681 + 0.0922517i
\(722\) −6328.32 3653.66i −0.326199 0.188331i
\(723\) −25160.5 + 11653.5i −1.29423 + 0.599444i
\(724\) −4779.14 + 2759.24i −0.245325 + 0.141639i
\(725\) 629.705 363.561i 0.0322575 0.0186239i
\(726\) 4104.21 + 2889.63i 0.209809 + 0.147719i
\(727\) −1646.14 950.399i −0.0839779 0.0484846i 0.457423 0.889249i \(-0.348773\pi\)
−0.541401 + 0.840765i \(0.682106\pi\)
\(728\) 2862.38 + 818.148i 0.145724 + 0.0416519i
\(729\) 16891.4 + 10104.6i 0.858171 + 0.513364i
\(730\) 5851.61 0.296682
\(731\) 1996.01 3457.20i 0.100992 0.174923i
\(732\) −5994.64 4220.62i −0.302689 0.213113i
\(733\) −4804.26 + 2773.74i −0.242087 + 0.139769i −0.616135 0.787640i \(-0.711303\pi\)
0.374049 + 0.927409i \(0.377969\pi\)
\(734\) −873.327 1512.65i −0.0439170 0.0760665i
\(735\) 2421.04 19574.2i 0.121498 0.982319i
\(736\) 7556.41 13088.1i 0.378442 0.655480i
\(737\) 94.0181i 0.00469905i
\(738\) 1964.59 703.577i 0.0979913 0.0350936i
\(739\) −15681.5 −0.780586 −0.390293 0.920691i \(-0.627626\pi\)
−0.390293 + 0.920691i \(0.627626\pi\)
\(740\) −7799.36 + 13508.9i −0.387446 + 0.671076i
\(741\) −9637.29 868.249i −0.477780 0.0430445i
\(742\) −1368.09 5467.35i −0.0676876 0.270503i
\(743\) 15659.4 9040.97i 0.773201 0.446408i −0.0608145 0.998149i \(-0.519370\pi\)
0.834015 + 0.551741i \(0.186036\pi\)
\(744\) 14376.7 + 1295.24i 0.708436 + 0.0638249i
\(745\) −10777.4 6222.35i −0.530006 0.305999i
\(746\) 3171.84i 0.155669i
\(747\) −21324.4 3873.78i −1.04447 0.189738i
\(748\) 175.485i 0.00857804i
\(749\) −7125.64 7366.30i −0.347617 0.359358i
\(750\) 4829.81 2237.00i 0.235146 0.108912i
\(751\) −11091.4 19210.8i −0.538921 0.933438i −0.998962 0.0455407i \(-0.985499\pi\)
0.460042 0.887897i \(-0.347834\pi\)
\(752\) −3556.70 6160.39i −0.172473 0.298732i
\(753\) −9218.63 + 13093.4i −0.446143 + 0.633667i
\(754\) −2579.67 1489.38i −0.124597 0.0719361i
\(755\) −5263.12 −0.253701
\(756\) −16574.9 10115.6i −0.797385 0.486640i
\(757\) −2531.12 −0.121526 −0.0607630 0.998152i \(-0.519353\pi\)
−0.0607630 + 0.998152i \(0.519353\pi\)
\(758\) 7078.10 + 4086.54i 0.339166 + 0.195818i
\(759\) 90.0559 127.909i 0.00430675 0.00611698i
\(760\) 8084.62 + 14003.0i 0.385868 + 0.668344i
\(761\) −1897.02 3285.73i −0.0903637 0.156514i 0.817301 0.576212i \(-0.195470\pi\)
−0.907664 + 0.419697i \(0.862136\pi\)
\(762\) −349.635 + 161.939i −0.0166220 + 0.00769873i
\(763\) −5332.57 + 5158.35i −0.253017 + 0.244751i
\(764\) 24849.8i 1.17675i
\(765\) 17891.2 21099.5i 0.845564 0.997194i
\(766\) 2157.89i 0.101786i
\(767\) 5393.59 + 3113.99i 0.253913 + 0.146597i
\(768\) 8576.22 + 772.654i 0.402953 + 0.0363031i
\(769\) −5524.12 + 3189.35i −0.259044 + 0.149559i −0.623898 0.781506i \(-0.714452\pi\)
0.364854 + 0.931065i \(0.381119\pi\)
\(770\) −9.15811 36.5989i −0.000428617 0.00171290i
\(771\) −11049.6 995.485i −0.516135 0.0465000i
\(772\) 12411.1 21496.7i 0.578609 1.00218i
\(773\) −29728.9 −1.38328