Properties

Label 36.5.f.a.7.10
Level 36
Weight 5
Character 36.7
Analytic conductor 3.721
Analytic rank 0
Dimension 44
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 36.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.72131867102\)
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 7.10
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.701741 + 3.93796i) q^{2} +(5.87916 + 6.81436i) q^{3} +(-15.0151 - 5.52686i) q^{4} +(14.3046 + 24.7763i) q^{5} +(-30.9603 + 18.3700i) q^{6} +(-22.2124 - 12.8243i) q^{7} +(32.3013 - 55.2506i) q^{8} +(-11.8710 + 80.1254i) q^{9} +O(q^{10})\) \(q+(-0.701741 + 3.93796i) q^{2} +(5.87916 + 6.81436i) q^{3} +(-15.0151 - 5.52686i) q^{4} +(14.3046 + 24.7763i) q^{5} +(-30.9603 + 18.3700i) q^{6} +(-22.2124 - 12.8243i) q^{7} +(32.3013 - 55.2506i) q^{8} +(-11.8710 + 80.1254i) q^{9} +(-107.606 + 38.9445i) q^{10} +(-93.9677 - 54.2523i) q^{11} +(-50.6143 - 134.812i) q^{12} +(44.2246 + 76.5993i) q^{13} +(66.0891 - 78.4722i) q^{14} +(-84.7356 + 243.141i) q^{15} +(194.908 + 165.973i) q^{16} +504.169 q^{17} +(-307.201 - 102.975i) q^{18} +191.405i q^{19} +(-77.8502 - 451.079i) q^{20} +(-43.2006 - 226.760i) q^{21} +(279.585 - 331.970i) q^{22} +(831.897 - 480.296i) q^{23} +(566.402 - 104.714i) q^{24} +(-96.7443 + 167.566i) q^{25} +(-332.680 + 120.402i) q^{26} +(-615.794 + 390.177i) q^{27} +(262.643 + 315.324i) q^{28} +(-396.671 + 687.053i) q^{29} +(-898.017 - 504.308i) q^{30} +(285.428 - 164.792i) q^{31} +(-790.370 + 651.069i) q^{32} +(-182.757 - 959.288i) q^{33} +(-353.796 + 1985.40i) q^{34} -733.789i q^{35} +(621.086 - 1137.48i) q^{36} +209.943 q^{37} +(-753.745 - 134.317i) q^{38} +(-261.971 + 751.702i) q^{39} +(1830.96 + 9.96965i) q^{40} +(-528.200 - 914.869i) q^{41} +(923.286 - 10.9960i) q^{42} +(-2887.45 - 1667.07i) q^{43} +(1111.09 + 1333.95i) q^{44} +(-2155.02 + 852.045i) q^{45} +(1307.61 + 3613.02i) q^{46} +(977.185 + 564.178i) q^{47} +(14.8932 + 2303.95i) q^{48} +(-871.573 - 1509.61i) q^{49} +(-591.979 - 498.563i) q^{50} +(2964.09 + 3435.59i) q^{51} +(-240.684 - 1394.57i) q^{52} +1138.62 q^{53} +(-1104.37 - 2698.78i) q^{54} -3104.23i q^{55} +(-1426.04 + 813.005i) q^{56} +(-1304.30 + 1125.30i) q^{57} +(-2427.23 - 2044.21i) q^{58} +(4037.49 - 2331.05i) q^{59} +(2616.12 - 3182.47i) q^{60} +(2799.84 - 4849.46i) q^{61} +(448.648 + 1239.65i) q^{62} +(1291.24 - 1627.54i) q^{63} +(-2009.25 - 3569.33i) q^{64} +(-1265.23 + 2191.45i) q^{65} +(3905.89 - 46.5177i) q^{66} +(-6127.74 + 3537.85i) q^{67} +(-7570.16 - 2786.47i) q^{68} +(8163.76 + 2845.11i) q^{69} +(2889.63 + 514.930i) q^{70} +4433.42i q^{71} +(4043.53 + 3244.03i) q^{72} -1953.21 q^{73} +(-147.326 + 826.748i) q^{74} +(-1710.63 + 325.897i) q^{75} +(1057.87 - 2873.97i) q^{76} +(1391.50 + 2410.15i) q^{77} +(-2776.34 - 1559.13i) q^{78} +(1523.90 + 879.826i) q^{79} +(-1324.12 + 7203.27i) q^{80} +(-6279.16 - 1902.33i) q^{81} +(3973.38 - 1438.03i) q^{82} +(-2621.64 - 1513.61i) q^{83} +(-604.606 + 3643.58i) q^{84} +(7211.95 + 12491.5i) q^{85} +(8591.12 - 10200.8i) q^{86} +(-7013.92 + 1336.24i) q^{87} +(-6032.75 + 3439.35i) q^{88} -559.336 q^{89} +(-1843.05 - 9084.32i) q^{90} -2268.61i q^{91} +(-15145.6 + 2613.92i) q^{92} +(2801.03 + 976.170i) q^{93} +(-2907.44 + 3452.21i) q^{94} +(-4742.31 + 2737.97i) q^{95} +(-9083.33 - 1558.13i) q^{96} +(1100.89 - 1906.79i) q^{97} +(6556.40 - 2372.87i) q^{98} +(5462.47 - 6885.17i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + O(q^{10}) \) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + 28q^{10} - 228q^{12} - 2q^{13} + 252q^{14} - q^{16} - 56q^{17} + 72q^{18} - 140q^{20} + 138q^{21} - 33q^{22} - 951q^{24} - 1752q^{25} + 1096q^{26} - 516q^{28} + 526q^{29} - 1980q^{30} - 121q^{32} + 2994q^{33} + 385q^{34} - 1005q^{36} - 8q^{37} + 1395q^{38} - 2276q^{40} - 2762q^{41} + 3330q^{42} + 6714q^{44} + 4110q^{45} + 3576q^{46} + 2163q^{48} + 3428q^{49} + 6375q^{50} + 1438q^{52} - 10088q^{53} - 4983q^{54} - 7506q^{56} + 1752q^{57} - 4064q^{58} - 16392q^{60} - 2q^{61} - 18324q^{62} + 9026q^{64} - 2014q^{65} - 17358q^{66} - 11405q^{68} + 3354q^{69} + 3666q^{70} + 4083q^{72} - 3416q^{73} + 14620q^{74} + 1581q^{76} - 3942q^{77} + 34566q^{78} + 45520q^{80} - 1164q^{81} - 8486q^{82} + 51078q^{84} - 1252q^{85} + 22113q^{86} + 1995q^{88} + 13048q^{89} - 4692q^{90} - 30294q^{92} + 12090q^{93} + 7524q^{94} - 76164q^{96} + 5638q^{97} - 92938q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.701741 + 3.93796i −0.175435 + 0.984491i
\(3\) 5.87916 + 6.81436i 0.653240 + 0.757151i
\(4\) −15.0151 5.52686i −0.938445 0.345429i
\(5\) 14.3046 + 24.7763i 0.572185 + 0.991053i 0.996341 + 0.0854642i \(0.0272373\pi\)
−0.424156 + 0.905589i \(0.639429\pi\)
\(6\) −30.9603 + 18.3700i −0.860010 + 0.510278i
\(7\) −22.2124 12.8243i −0.453314 0.261721i 0.255915 0.966699i \(-0.417623\pi\)
−0.709229 + 0.704978i \(0.750957\pi\)
\(8\) 32.3013 55.2506i 0.504708 0.863290i
\(9\) −11.8710 + 80.1254i −0.146555 + 0.989203i
\(10\) −107.606 + 38.9445i −1.07606 + 0.389445i
\(11\) −93.9677 54.2523i −0.776593 0.448366i 0.0586287 0.998280i \(-0.481327\pi\)
−0.835221 + 0.549914i \(0.814661\pi\)
\(12\) −50.6143 134.812i −0.351488 0.936192i
\(13\) 44.2246 + 76.5993i 0.261684 + 0.453250i 0.966690 0.255952i \(-0.0823888\pi\)
−0.705005 + 0.709202i \(0.749055\pi\)
\(14\) 66.0891 78.4722i 0.337189 0.400369i
\(15\) −84.7356 + 243.141i −0.376603 + 1.08063i
\(16\) 194.908 + 165.973i 0.761358 + 0.648332i
\(17\) 504.169 1.74453 0.872265 0.489034i \(-0.162651\pi\)
0.872265 + 0.489034i \(0.162651\pi\)
\(18\) −307.201 102.975i −0.948150 0.317823i
\(19\) 191.405i 0.530207i 0.964220 + 0.265104i \(0.0854062\pi\)
−0.964220 + 0.265104i \(0.914594\pi\)
\(20\) −77.8502 451.079i −0.194625 1.12770i
\(21\) −43.2006 226.760i −0.0979606 0.514194i
\(22\) 279.585 331.970i 0.577654 0.685889i
\(23\) 831.897 480.296i 1.57258 0.907932i 0.576733 0.816933i \(-0.304327\pi\)
0.995851 0.0909988i \(-0.0290059\pi\)
\(24\) 566.402 104.714i 0.983336 0.181795i
\(25\) −96.7443 + 167.566i −0.154791 + 0.268106i
\(26\) −332.680 + 120.402i −0.492129 + 0.178110i
\(27\) −615.794 + 390.177i −0.844711 + 0.535222i
\(28\) 262.643 + 315.324i 0.335004 + 0.402199i
\(29\) −396.671 + 687.053i −0.471665 + 0.816948i −0.999475 0.0324147i \(-0.989680\pi\)
0.527809 + 0.849363i \(0.323014\pi\)
\(30\) −898.017 504.308i −0.997797 0.560342i
\(31\) 285.428 164.792i 0.297011 0.171480i −0.344088 0.938937i \(-0.611812\pi\)
0.641099 + 0.767458i \(0.278479\pi\)
\(32\) −790.370 + 651.069i −0.771846 + 0.635809i
\(33\) −182.757 959.288i −0.167821 0.880888i
\(34\) −353.796 + 1985.40i −0.306052 + 1.71747i
\(35\) 733.789i 0.599011i
\(36\) 621.086 1137.48i 0.479233 0.877688i
\(37\) 209.943 0.153355 0.0766775 0.997056i \(-0.475569\pi\)
0.0766775 + 0.997056i \(0.475569\pi\)
\(38\) −753.745 134.317i −0.521984 0.0930171i
\(39\) −261.971 + 751.702i −0.172236 + 0.494216i
\(40\) 1830.96 + 9.96965i 1.14435 + 0.00623103i
\(41\) −528.200 914.869i −0.314218 0.544241i 0.665053 0.746796i \(-0.268409\pi\)
−0.979271 + 0.202555i \(0.935076\pi\)
\(42\) 923.286 10.9960i 0.523405 0.00623356i
\(43\) −2887.45 1667.07i −1.56163 0.901608i −0.997093 0.0762001i \(-0.975721\pi\)
−0.564537 0.825407i \(1.30905\pi\)
\(44\) 1111.09 + 1333.95i 0.573911 + 0.689024i
\(45\) −2155.02 + 852.045i −1.06421 + 0.420763i
\(46\) 1307.61 + 3613.02i 0.617964 + 1.70748i
\(47\) 977.185 + 564.178i 0.442365 + 0.255400i 0.704600 0.709604i \(-0.251126\pi\)
−0.262235 + 0.965004i \(0.584460\pi\)
\(48\) 14.8932 + 2303.95i 0.00646406 + 0.999979i
\(49\) −871.573 1509.61i −0.363004 0.628742i
\(50\) −591.979 498.563i −0.236792 0.199425i
\(51\) 2964.09 + 3435.59i 1.13960 + 1.32087i
\(52\) −240.684 1394.57i −0.0890104 0.515744i
\(53\) 1138.62 0.405346 0.202673 0.979247i \(-0.435037\pi\)
0.202673 + 0.979247i \(0.435037\pi\)
\(54\) −1104.37 2698.78i −0.378729 0.925507i
\(55\) 3104.23i 1.02619i
\(56\) −1426.04 + 813.005i −0.454732 + 0.259249i
\(57\) −1304.30 + 1125.30i −0.401447 + 0.346353i
\(58\) −2427.23 2044.21i −0.721531 0.607672i
\(59\) 4037.49 2331.05i 1.15987 0.669648i 0.208593 0.978002i \(-0.433111\pi\)
0.951272 + 0.308354i \(0.0997781\pi\)
\(60\) 2616.12 3182.47i 0.726700 0.884018i
\(61\) 2799.84 4849.46i 0.752442 1.30327i −0.194193 0.980963i \(-0.562209\pi\)
0.946636 0.322305i \(-0.104458\pi\)
\(62\) 448.648 + 1239.65i 0.116714 + 0.322488i
\(63\) 1291.24 1627.54i 0.325331 0.410063i
\(64\) −2009.25 3569.33i −0.490540 0.871419i
\(65\) −1265.23 + 2191.45i −0.299463 + 0.518686i
\(66\) 3905.89 46.5177i 0.896668 0.0106790i
\(67\) −6127.74 + 3537.85i −1.36506 + 0.788116i −0.990292 0.139004i \(-0.955610\pi\)
−0.374764 + 0.927120i \(0.622276\pi\)
\(68\) −7570.16 2786.47i −1.63715 0.602611i
\(69\) 8163.76 + 2845.11i 1.71472 + 0.597586i
\(70\) 2889.63 + 514.930i 0.589721 + 0.105088i
\(71\) 4433.42i 0.879472i 0.898127 + 0.439736i \(0.144928\pi\)
−0.898127 + 0.439736i \(0.855072\pi\)
\(72\) 4043.53 + 3244.03i 0.780001 + 0.625778i
\(73\) −1953.21 −0.366524 −0.183262 0.983064i \(-0.558666\pi\)
−0.183262 + 0.983064i \(0.558666\pi\)
\(74\) −147.326 + 826.748i −0.0269039 + 0.150977i
\(75\) −1710.63 + 325.897i −0.304112 + 0.0579373i
\(76\) 1057.87 2873.97i 0.183149 0.497570i
\(77\) 1391.50 + 2410.15i 0.234694 + 0.406501i
\(78\) −2776.34 1559.13i −0.456334 0.256268i
\(79\) 1523.90 + 879.826i 0.244176 + 0.140975i 0.617095 0.786889i \(-0.288310\pi\)
−0.372918 + 0.927864i \(0.621643\pi\)
\(80\) −1324.12 + 7203.27i −0.206894 + 1.12551i
\(81\) −6279.16 1902.33i −0.957043 0.289945i
\(82\) 3973.38 1438.03i 0.590925 0.213865i
\(83\) −2621.64 1513.61i −0.380555 0.219714i 0.297505 0.954720i \(-0.403846\pi\)
−0.678060 + 0.735007i \(0.737179\pi\)
\(84\) −604.606 + 3643.58i −0.0856868 + 0.516381i
\(85\) 7211.95 + 12491.5i 0.998193 + 1.72892i
\(86\) 8591.12 10200.8i 1.16159 1.37924i
\(87\) −7013.92 + 1336.24i −0.926664 + 0.176541i
\(88\) −6032.75 + 3439.35i −0.779023 + 0.444131i
\(89\) −559.336 −0.0706144 −0.0353072 0.999377i \(-0.511241\pi\)
−0.0353072 + 0.999377i \(0.511241\pi\)
\(90\) −1843.05 9084.32i −0.227537 1.12152i
\(91\) 2268.61i 0.273953i
\(92\) −15145.6 + 2613.92i −1.78941 + 0.308828i
\(93\) 2801.03 + 976.170i 0.323855 + 0.112865i
\(94\) −2907.44 + 3452.21i −0.329045 + 0.390698i
\(95\) −4742.31 + 2737.97i −0.525463 + 0.303376i
\(96\) −9083.33 1558.13i −0.985604 0.169068i
\(97\) 1100.89 1906.79i 0.117004 0.202656i −0.801575 0.597894i \(-0.796004\pi\)
0.918579 + 0.395238i \(0.129338\pi\)
\(98\) 6556.40 2372.87i 0.682674 0.247071i
\(99\) 5462.47 6885.17i 0.557338 0.702497i
\(100\) 2378.74 1981.33i 0.237874 0.198133i
\(101\) 365.841 633.655i 0.0358632 0.0621170i −0.847537 0.530737i \(-0.821915\pi\)
0.883400 + 0.468620i \(0.155249\pi\)
\(102\) −15609.2 + 9261.59i −1.50031 + 0.890195i
\(103\) 8533.78 4926.98i 0.804391 0.464415i −0.0406134 0.999175i \(-0.512931\pi\)
0.845004 + 0.534760i \(0.179598\pi\)
\(104\) 5660.67 + 30.8225i 0.523361 + 0.00284971i
\(105\) 5000.30 4314.06i 0.453542 0.391298i
\(106\) −799.013 + 4483.83i −0.0711119 + 0.399059i
\(107\) 804.642i 0.0702806i 0.999382 + 0.0351403i \(0.0111878\pi\)
−0.999382 + 0.0351403i \(0.988812\pi\)
\(108\) 11402.7 2455.14i 0.977596 0.210489i
\(109\) −17324.9 −1.45820 −0.729102 0.684405i \(-0.760062\pi\)
−0.729102 + 0.684405i \(0.760062\pi\)
\(110\) 12224.4 + 2178.37i 1.01028 + 0.180030i
\(111\) 1234.29 + 1430.63i 0.100178 + 0.116113i
\(112\) −2200.87 6186.22i −0.175452 0.493161i
\(113\) −8573.94 14850.5i −0.671465 1.16301i −0.977489 0.210988i \(-0.932332\pi\)
0.306024 0.952024i \(-0.401001\pi\)
\(114\) −3516.11 5925.96i −0.270553 0.455983i
\(115\) 23799.9 + 13740.9i 1.79962 + 1.03901i
\(116\) 9753.31 8123.85i 0.724829 0.603734i
\(117\) −6662.54 + 2634.21i −0.486707 + 0.192433i
\(118\) 6346.30 + 17535.3i 0.455782 + 1.25936i
\(119\) −11198.8 6465.63i −0.790820 0.456580i
\(120\) 10696.6 + 12535.5i 0.742819 + 0.870518i
\(121\) −1433.88 2483.55i −0.0979359 0.169630i
\(122\) 17132.2 + 14428.7i 1.15105 + 0.969412i
\(123\) 3128.87 8978.01i 0.206813 0.593430i
\(124\) −5196.51 + 896.848i −0.337963 + 0.0583278i
\(125\) 12345.2 0.790094
\(126\) 5503.08 + 6226.96i 0.346629 + 0.392225i
\(127\) 9591.51i 0.594675i 0.954772 + 0.297337i \(0.0960986\pi\)
−0.954772 + 0.297337i \(0.903901\pi\)
\(128\) 15465.9 5407.61i 0.943962 0.330054i
\(129\) −5615.78 29477.1i −0.337466 1.77136i
\(130\) −7741.98 6520.27i −0.458105 0.385815i
\(131\) −3933.27 + 2270.88i −0.229198 + 0.132328i −0.610202 0.792246i \(-0.708912\pi\)
0.381004 + 0.924573i \(0.375578\pi\)
\(132\) −2557.74 + 15413.9i −0.146794 + 0.884635i
\(133\) 2454.64 4251.56i 0.138766 0.240350i
\(134\) −9631.84 26613.5i −0.536414 1.48215i
\(135\) −18475.9 9675.79i −1.01376 0.530908i
\(136\) 16285.3 27855.6i 0.880478 1.50604i
\(137\) 2450.82 4244.95i 0.130578 0.226168i −0.793321 0.608803i \(-0.791650\pi\)
0.923900 + 0.382635i \(0.124983\pi\)
\(138\) −16932.8 + 30152.1i −0.889140 + 1.58328i
\(139\) −7491.80 + 4325.39i −0.387754 + 0.223870i −0.681187 0.732110i \(-0.738536\pi\)
0.293432 + 0.955980i \(0.405202\pi\)
\(140\) −4055.55 + 11017.9i −0.206916 + 0.562139i
\(141\) 1900.52 + 9975.78i 0.0955946 + 0.501775i
\(142\) −17458.6 3111.11i −0.865832 0.154290i
\(143\) 9597.15i 0.469321i
\(144\) −15612.4 + 13646.8i −0.752913 + 0.658121i
\(145\) −22696.9 −1.07952
\(146\) 1370.65 7691.66i 0.0643013 0.360840i
\(147\) 5162.90 14814.4i 0.238923 0.685568i
\(148\) −3152.32 1160.33i −0.143915 0.0529733i
\(149\) 6346.46 + 10992.4i 0.285863 + 0.495130i 0.972818 0.231570i \(-0.0743863\pi\)
−0.686955 + 0.726700i \(0.741053\pi\)
\(150\) −82.9518 6965.09i −0.00368674 0.309560i
\(151\) 11055.3 + 6382.78i 0.484860 + 0.279934i 0.722440 0.691434i \(-0.243021\pi\)
−0.237579 + 0.971368i \(0.576354\pi\)
\(152\) 10575.2 + 6182.63i 0.457723 + 0.267600i
\(153\) −5984.97 + 40396.8i −0.255670 + 1.72569i
\(154\) −10467.5 + 3788.37i −0.441370 + 0.159739i
\(155\) 8165.87 + 4714.57i 0.339891 + 0.196236i
\(156\) 8088.09 9839.01i 0.332351 0.404299i
\(157\) 20283.0 + 35131.2i 0.822873 + 1.42526i 0.903534 + 0.428516i \(0.140963\pi\)
−0.0806612 + 0.996742i \(0.525703\pi\)
\(158\) −4534.11 + 5383.67i −0.181626 + 0.215657i
\(159\) 6694.10 + 7758.93i 0.264788 + 0.306908i
\(160\) −27437.0 10269.2i −1.07176 0.401140i
\(161\) −24637.9 −0.950499
\(162\) 11897.7 23392.2i 0.453348 0.891334i
\(163\) 6872.98i 0.258684i −0.991600 0.129342i \(-0.958713\pi\)
0.991600 0.129342i \(-0.0412865\pi\)
\(164\) 2874.63 + 16656.2i 0.106879 + 0.619280i
\(165\) 21153.4 18250.3i 0.776983 0.670350i
\(166\) 7800.24 9261.78i 0.283069 0.336108i
\(167\) −30405.5 + 17554.6i −1.09023 + 0.629447i −0.933639 0.358216i \(-0.883385\pi\)
−0.156595 + 0.987663i \(0.550052\pi\)
\(168\) −13924.0 4937.77i −0.493340 0.174949i
\(169\) 10368.9 17959.4i 0.363043 0.628809i
\(170\) −54251.8 + 19634.6i −1.87723 + 0.679398i
\(171\) −15336.4 2272.16i −0.524482 0.0777045i
\(172\) 34141.8 + 40989.9i 1.15406 + 1.38554i
\(173\) −1491.72 + 2583.74i −0.0498420 + 0.0863290i −0.889870 0.456214i \(-0.849205\pi\)
0.840028 + 0.542543i \(0.182538\pi\)
\(174\) −340.118 28558.3i −0.0112339 0.943264i
\(175\) 4297.84 2481.36i 0.140338 0.0810240i
\(176\) −9310.60 26170.3i −0.300575 0.844857i
\(177\) 39621.6 + 13808.3i 1.26470 + 0.440752i
\(178\) 392.509 2202.65i 0.0123883 0.0695192i
\(179\) 45199.3i 1.41067i 0.708874 + 0.705335i \(0.249203\pi\)
−0.708874 + 0.705335i \(0.750797\pi\)
\(180\) 37067.1 883.036i 1.14404 0.0272542i
\(181\) 27600.9 0.842492 0.421246 0.906946i \(-0.361593\pi\)
0.421246 + 0.906946i \(0.361593\pi\)
\(182\) 8933.68 + 1591.97i 0.269704 + 0.0480610i
\(183\) 49506.7 9431.66i 1.47830 0.281635i
\(184\) 334.744 61477.0i 0.00988728 1.81584i
\(185\) 3003.16 + 5201.62i 0.0877474 + 0.151983i
\(186\) −5809.72 + 10345.3i −0.167930 + 0.299032i
\(187\) −47375.6 27352.3i −1.35479 0.782188i
\(188\) −11554.4 13872.0i −0.326913 0.392484i
\(189\) 18682.0 769.615i 0.522999 0.0215452i
\(190\) −7454.16 20596.4i −0.206487 0.570537i
\(191\) 16300.9 + 9411.33i 0.446833 + 0.257979i 0.706492 0.707721i \(-0.250277\pi\)
−0.259659 + 0.965700i \(0.583610\pi\)
\(192\) 12510.0 34676.4i 0.339356 0.940658i
\(193\) −4727.11 8187.59i −0.126906 0.219807i 0.795571 0.605861i \(-0.207171\pi\)
−0.922476 + 0.386054i \(0.873838\pi\)
\(194\) 6736.35 + 5673.33i 0.178987 + 0.150742i
\(195\) −22371.8 + 4262.12i −0.588345 + 0.112087i
\(196\) 4743.37 + 27484.0i 0.123474 + 0.715432i
\(197\) −21650.0 −0.557860 −0.278930 0.960311i \(-0.589980\pi\)
−0.278930 + 0.960311i \(0.589980\pi\)
\(198\) 23280.3 + 26342.6i 0.593825 + 0.671937i
\(199\) 25261.4i 0.637898i −0.947772 0.318949i \(-0.896670\pi\)
0.947772 0.318949i \(-0.103330\pi\)
\(200\) 6133.15 + 10757.8i 0.153329 + 0.268944i
\(201\) −60134.1 20957.0i −1.48843 0.518725i
\(202\) 2238.58 + 1885.33i 0.0548619 + 0.0462045i
\(203\) 17622.0 10174.1i 0.427625 0.246889i
\(204\) −25518.1 67967.9i −0.613181 1.63322i
\(205\) 15111.4 26173.7i 0.359581 0.622813i
\(206\) 13413.8 + 37063.2i 0.316094 + 0.873390i
\(207\) 28608.5 + 72357.6i 0.667658 + 1.68867i
\(208\) −4093.70 + 22269.9i −0.0946214 + 0.514744i
\(209\) 10384.1 17985.9i 0.237727 0.411755i
\(210\) 13479.7 + 22718.4i 0.305662 + 0.515155i
\(211\) −18674.0 + 10781.5i −0.419443 + 0.242166i −0.694839 0.719165i \(-0.744524\pi\)
0.275396 + 0.961331i \(0.411191\pi\)
\(212\) −17096.4 6292.97i −0.380394 0.140018i
\(213\) −30210.9 + 26064.8i −0.665893 + 0.574506i
\(214\) −3168.65 564.650i −0.0691906 0.0123297i
\(215\) 95387.3i 2.06354i
\(216\) 1666.53 + 46626.2i 0.0357196 + 0.999362i
\(217\) −8453.38 −0.179519
\(218\) 12157.6 68224.9i 0.255821 1.43559i
\(219\) −11483.2 13309.8i −0.239428 0.277514i
\(220\) −17156.7 + 46610.4i −0.354477 + 0.963025i
\(221\) 22296.7 + 38619.0i 0.456516 + 0.790709i
\(222\) −6499.91 + 3856.65i −0.131887 + 0.0782537i
\(223\) −16709.5 9647.22i −0.336011 0.193996i 0.322496 0.946571i \(-0.395478\pi\)
−0.658507 + 0.752575i \(0.728812\pi\)
\(224\) 25905.5 4325.83i 0.516293 0.0862130i
\(225\) −12277.8 9740.84i −0.242525 0.192412i
\(226\) 64497.4 23342.7i 1.26277 0.457018i
\(227\) 56144.4 + 32415.0i 1.08957 + 0.629063i 0.933462 0.358677i \(-0.116772\pi\)
0.156107 + 0.987740i \(0.450105\pi\)
\(228\) 25803.6 9687.81i 0.496376 0.186361i
\(229\) −19575.4 33905.7i −0.373285 0.646549i 0.616784 0.787133i \(-0.288435\pi\)
−0.990069 + 0.140584i \(0.955102\pi\)
\(230\) −70812.6 + 84080.7i −1.33861 + 1.58943i
\(231\) −8242.76 + 23651.8i −0.154472 + 0.443241i
\(232\) 25147.1 + 44109.0i 0.467210 + 0.819504i
\(233\) −2307.53 −0.0425045 −0.0212522 0.999774i \(-0.506765\pi\)
−0.0212522 + 0.999774i \(0.506765\pi\)
\(234\) −5698.04 28085.4i −0.104062 0.512919i
\(235\) 32281.4i 0.584543i
\(236\) −73506.8 + 12686.3i −1.31979 + 0.227777i
\(237\) 2963.82 + 15557.1i 0.0527662 + 0.276969i
\(238\) 33320.1 39563.3i 0.588237 0.698455i
\(239\) 65999.7 38104.9i 1.15544 0.667091i 0.205230 0.978714i \(-0.434206\pi\)
0.950206 + 0.311623i \(0.100872\pi\)
\(240\) −56870.4 + 33326.2i −0.987334 + 0.578579i
\(241\) −8157.12 + 14128.5i −0.140444 + 0.243256i −0.927664 0.373416i \(-0.878186\pi\)
0.787220 + 0.616672i \(0.211520\pi\)
\(242\) 10786.3 3903.75i 0.184180 0.0666579i
\(243\) −23953.0 53972.6i −0.405647 0.914030i
\(244\) −68842.2 + 57340.9i −1.15631 + 0.963130i
\(245\) 24935.0 43188.8i 0.415411 0.719513i
\(246\) 33159.4 + 18621.6i 0.547944 + 0.307714i
\(247\) −14661.5 + 8464.81i −0.240317 + 0.138747i
\(248\) 114.852 21093.0i 0.00186739 0.342954i
\(249\) −5098.80 26763.6i −0.0822375 0.431663i
\(250\) −8663.15 + 48615.0i −0.138610 + 0.777840i
\(251\) 33833.6i 0.537033i −0.963275 0.268517i \(-0.913467\pi\)
0.963275 0.268517i \(-0.0865334\pi\)
\(252\) −28383.3 + 17301.2i −0.446952 + 0.272443i
\(253\) −104229. −1.62834
\(254\) −37771.0 6730.76i −0.585452 0.104327i
\(255\) −42721.1 + 122584.i −0.656995 + 1.88518i
\(256\) 10441.9 + 64698.8i 0.159331 + 0.987225i
\(257\) 28773.1 + 49836.4i 0.435632 + 0.754537i 0.997347 0.0727940i \(-0.0231916\pi\)
−0.561715 + 0.827331i \(0.689858\pi\)
\(258\) 120021. 1429.40i 1.80309 0.0214741i
\(259\) −4663.34 2692.38i −0.0695180 0.0401362i
\(260\) 31109.5 25912.1i 0.460199 0.383315i
\(261\) −50341.6 39939.4i −0.739002 0.586300i
\(262\) −6182.49 17082.6i −0.0900659 0.248859i
\(263\) −68019.2 39270.9i −0.983378 0.567753i −0.0800895 0.996788i \(-0.525521\pi\)
−0.903288 + 0.429034i \(0.858854\pi\)
\(264\) −58904.5 20888.8i −0.845163 0.299714i
\(265\) 16287.5 + 28210.7i 0.231933 + 0.401719i
\(266\) 15020.0 + 12649.8i 0.212278 + 0.178780i
\(267\) −3288.43 3811.52i −0.0461281 0.0534657i
\(268\) 111562. 19254.1i 1.55327 0.268073i
\(269\) −5376.96 −0.0743074 −0.0371537 0.999310i \(-0.511829\pi\)
−0.0371537 + 0.999310i \(0.511829\pi\)
\(270\) 51068.2 65967.4i 0.700524 0.904902i
\(271\) 108113.i 1.47211i −0.676924 0.736053i \(-0.736688\pi\)
0.676924 0.736053i \(-0.263312\pi\)
\(272\) 98266.4 + 83678.5i 1.32821 + 1.13103i
\(273\) 15459.1 13337.5i 0.207424 0.178957i
\(274\) 14996.6 + 12630.1i 0.199752 + 0.168231i
\(275\) 18181.7 10497.2i 0.240419 0.138806i
\(276\) −106855. 87839.6i −1.40274 1.15311i
\(277\) 21971.1 38055.1i 0.286347 0.495968i −0.686588 0.727047i \(-0.740892\pi\)
0.972935 + 0.231079i \(0.0742255\pi\)
\(278\) −11775.9 32537.8i −0.152372 0.421015i
\(279\) 9815.71 + 24826.3i 0.126099 + 0.318935i
\(280\) −40542.2 23702.3i −0.517120 0.302326i
\(281\) −25435.7 + 44055.9i −0.322130 + 0.557945i −0.980927 0.194375i \(-0.937732\pi\)
0.658798 + 0.752320i \(0.271065\pi\)
\(282\) −40617.9 + 483.745i −0.510763 + 0.00608300i
\(283\) −22858.8 + 13197.5i −0.285418 + 0.164786i −0.635873 0.771793i \(-0.719360\pi\)
0.350456 + 0.936579i \(0.386027\pi\)
\(284\) 24502.9 66568.3i 0.303795 0.825336i
\(285\) −46538.3 16218.8i −0.572956 0.199678i
\(286\) 37793.2 + 6734.71i 0.462042 + 0.0823355i
\(287\) 27095.2i 0.328950i
\(288\) −42784.7 71057.6i −0.515826 0.856693i
\(289\) 170665. 2.04338
\(290\) 15927.3 89379.5i 0.189386 1.06278i
\(291\) 19465.9 3708.50i 0.229873 0.0437938i
\(292\) 29327.6 + 10795.1i 0.343963 + 0.126608i
\(293\) −65395.3 113268.i −0.761748 1.31939i −0.941949 0.335757i \(-0.891008\pi\)
0.180201 0.983630i \(-0.442325\pi\)
\(294\) 54715.7 + 30727.2i 0.633020 + 0.355491i
\(295\) 115510. + 66689.5i 1.32731 + 0.766325i
\(296\) 6781.44 11599.5i 0.0773995 0.132390i
\(297\) 79032.8 3255.79i 0.895972 0.0369100i
\(298\) −47741.2 + 17278.3i −0.537602 + 0.194567i
\(299\) 73580.7 + 42481.8i 0.823041 + 0.475183i
\(300\) 27486.5 + 4561.03i 0.305406 + 0.0506781i
\(301\) 42758.2 + 74059.3i 0.471939 + 0.817423i
\(302\) −32893.1 + 39056.3i −0.360654 + 0.428230i
\(303\) 6468.79 1232.39i 0.0704592 0.0134234i
\(304\) −31768.0 + 37306.2i −0.343750 + 0.403677i
\(305\) 160202. 1.72214
\(306\) −154881. 51916.7i −1.65408 0.554452i
\(307\) 54227.3i 0.575362i 0.957726 + 0.287681i \(0.0928843\pi\)
−0.957726 + 0.287681i \(0.907116\pi\)
\(308\) −7572.97 43879.3i −0.0798297 0.462549i
\(309\) 83745.7 + 29185.7i 0.877093 + 0.305671i
\(310\) −24296.1 + 28848.5i −0.252821 + 0.300193i
\(311\) −117745. + 67980.1i −1.21737 + 0.702847i −0.964354 0.264616i \(-0.914755\pi\)
−0.253013 + 0.967463i \(0.581422\pi\)
\(312\) 33069.9 + 38755.0i 0.339722 + 0.398125i
\(313\) −82194.2 + 142364.i −0.838981 + 1.45316i 0.0517658 + 0.998659i \(0.483515\pi\)
−0.890747 + 0.454499i \(0.849818\pi\)
\(314\) −152579. + 55220.7i −1.54751 + 0.560070i
\(315\) 58795.1 + 8710.77i 0.592543 + 0.0877881i
\(316\) −18018.9 21633.1i −0.180449 0.216643i
\(317\) −60309.5 + 104459.i −0.600160 + 1.03951i 0.392637 + 0.919694i \(0.371563\pi\)
−0.992796 + 0.119814i \(0.961770\pi\)
\(318\) −35251.9 + 20916.4i −0.348601 + 0.206839i
\(319\) 74548.4 43040.6i 0.732584 0.422957i
\(320\) 59693.4 100840.i 0.582943 0.984763i
\(321\) −5483.12 + 4730.62i −0.0532130 + 0.0459101i
\(322\) 17289.4 97023.1i 0.166751 0.935758i
\(323\) 96500.4i 0.924962i
\(324\) 83768.4 + 63267.8i 0.797977 + 0.602688i
\(325\) −17113.9 −0.162025
\(326\) 27065.5 + 4823.05i 0.254672 + 0.0453823i
\(327\) −101856. 118058.i −0.952557 1.10408i
\(328\) −67608.6 368.131i −0.628426 0.00342180i
\(329\) −14470.4 25063.5i −0.133687 0.231553i
\(330\) 57024.8 + 96108.1i 0.523643 + 0.882536i
\(331\) −100184. 57841.2i −0.914412 0.527936i −0.0325639 0.999470i \(-0.510367\pi\)
−0.881848 + 0.471534i \(0.843701\pi\)
\(332\) 30998.8 + 37216.5i 0.281235 + 0.337644i
\(333\) −2492.23 + 16821.8i −0.0224750 + 0.151699i
\(334\) −47792.7 132055.i −0.428419 1.18375i
\(335\) −175310. 101215.i −1.56213 0.901895i
\(336\) 29215.8 51367.3i 0.258785 0.454996i
\(337\) −93868.0 162584.i −0.826528 1.43159i −0.900746 0.434347i \(-0.856979\pi\)
0.0742175 0.997242i \(-0.476354\pi\)
\(338\) 63447.2 + 53435.1i 0.555366 + 0.467728i
\(339\) 50789.1 145734.i 0.441948 1.26813i
\(340\) −39249.7 227420.i −0.339530 1.96730i
\(341\) −35761.3 −0.307542
\(342\) 19709.9 58799.7i 0.168512 0.502716i
\(343\) 106292.i 0.903465i
\(344\) −185375. + 105685.i −1.56652 + 0.893091i
\(345\) 46288.2 + 242966.i 0.388895 + 2.04130i
\(346\) −9127.87 7687.47i −0.0762460 0.0642142i
\(347\) 117124. 67621.8i 0.972721 0.561601i 0.0726566 0.997357i \(-0.476852\pi\)
0.900065 + 0.435756i \(0.143519\pi\)
\(348\) 112700. + 18701.1i 0.930605 + 0.154422i
\(349\) −1651.44 + 2860.38i −0.0135585 + 0.0234841i −0.872725 0.488212i \(-0.837649\pi\)
0.859167 + 0.511696i \(0.170983\pi\)
\(350\) 6755.54 + 18666.0i 0.0551472 + 0.152376i
\(351\) −57120.6 29914.0i −0.463637 0.242806i
\(352\) 109591. 18300.1i 0.884485 0.147695i
\(353\) −21366.4 + 37007.7i −0.171467 + 0.296990i −0.938933 0.344100i \(-0.888184\pi\)
0.767466 + 0.641090i \(0.221517\pi\)
\(354\) −82180.8 + 146339.i −0.655788 + 1.16776i
\(355\) −109844. + 63418.4i −0.871603 + 0.503220i
\(356\) 8398.50 + 3091.38i 0.0662677 + 0.0243922i
\(357\) −21780.4 114325.i −0.170895 0.897027i
\(358\) −177993. 31718.2i −1.38879 0.247481i
\(359\) 175816.i 1.36418i 0.731270 + 0.682088i \(0.238928\pi\)
−0.731270 + 0.682088i \(0.761072\pi\)
\(360\) −22534.1 + 146588.i −0.173874 + 1.13108i
\(361\) 93685.2 0.718880
\(362\) −19368.7 + 108691.i −0.147803 + 0.829426i
\(363\) 8493.80 24372.2i 0.0644598 0.184961i
\(364\) −12538.3 + 34063.4i −0.0946313 + 0.257090i
\(365\) −27939.9 48393.3i −0.209719 0.363245i
\(366\) 2400.67 + 201574.i 0.0179214 + 1.50478i
\(367\) −6867.31 3964.84i −0.0509864 0.0294370i 0.474290 0.880369i \(-0.342705\pi\)
−0.525277 + 0.850932i \(0.676038\pi\)
\(368\) 241859. + 44459.1i 1.78594 + 0.328296i
\(369\) 79574.5 31461.9i 0.584415 0.231064i
\(370\) −22591.2 + 8176.13i −0.165020 + 0.0597234i
\(371\) −25291.4 14602.0i −0.183749 0.106087i
\(372\) −36662.6 30138.2i −0.264934 0.217787i
\(373\) −123336. 213624.i −0.886486 1.53544i −0.844001 0.536342i \(-0.819806\pi\)
−0.0424851 0.999097i \(-0.513527\pi\)
\(374\) 140958. 167369.i 1.00773 1.19655i
\(375\) 72579.5 + 84124.7i 0.516121 + 0.598220i
\(376\) 62735.5 35766.3i 0.443749 0.252987i
\(377\) −70170.4 −0.493709
\(378\) −10079.2 + 74109.2i −0.0705414 + 0.518667i
\(379\) 147423.i 1.02633i 0.858291 + 0.513163i \(0.171526\pi\)
−0.858291 + 0.513163i \(0.828474\pi\)
\(380\) 86338.7 14900.9i 0.597914 0.103192i
\(381\) −65360.0 + 56390.0i −0.450258 + 0.388465i
\(382\) −48500.5 + 57588.0i −0.332368 + 0.394644i
\(383\) −105968. + 61180.9i −0.722402 + 0.417079i −0.815636 0.578565i \(-0.803613\pi\)
0.0932341 + 0.995644i \(0.470280\pi\)
\(384\) 127776. + 73597.8i 0.866535 + 0.499117i
\(385\) −39809.7 + 68952.5i −0.268576 + 0.465188i
\(386\) 35559.6 12869.6i 0.238662 0.0863755i
\(387\) 167852. 211569.i 1.12074 1.41263i
\(388\) −27068.6 + 22546.3i −0.179805 + 0.149765i
\(389\) 91728.1 158878.i 0.606182 1.04994i −0.385682 0.922632i \(-0.626034\pi\)
0.991863 0.127306i \(-0.0406330\pi\)
\(390\) −1084.85 91090.3i −0.00713250 0.598884i
\(391\) 419417. 242150.i 2.74342 1.58391i
\(392\) −111560. 607.446i −0.725998 0.00395308i
\(393\) −38598.9 13451.9i −0.249914 0.0870959i
\(394\) 15192.7 85256.9i 0.0978684 0.549208i
\(395\) 50342.3i 0.322656i
\(396\) −120073. + 73191.4i −0.765694 + 0.466734i
\(397\) 81466.1 0.516887 0.258444 0.966026i \(-0.416790\pi\)
0.258444 + 0.966026i \(0.416790\pi\)
\(398\) 99478.5 + 17727.0i 0.628005 + 0.111910i
\(399\) 43402.9 8268.81i 0.272629 0.0519394i
\(400\) −46667.6 + 16602.9i −0.291673 + 0.103768i
\(401\) −100584. 174217.i −0.625518 1.08343i −0.988440 0.151610i \(-0.951554\pi\)
0.362922 0.931820i \(-0.381779\pi\)
\(402\) 124727. 222100.i 0.771804 1.37434i
\(403\) 25245.9 + 14575.7i 0.155446 + 0.0897469i
\(404\) −8995.27 + 7492.45i −0.0551127 + 0.0459051i
\(405\) −42688.2 182787.i −0.260254 1.11438i
\(406\) 27699.0 + 76534.4i 0.168040 + 0.464306i
\(407\) −19727.9 11389.9i −0.119094 0.0687592i
\(408\) 285562. 52793.7i 1.71546 0.317148i
\(409\) 70320.1 + 121798.i 0.420371 + 0.728104i 0.995976 0.0896241i \(-0.0285666\pi\)
−0.575605 + 0.817728i \(0.695233\pi\)
\(410\) 92466.8 + 77875.3i 0.550070 + 0.463268i
\(411\) 43335.4 8255.95i 0.256542 0.0488746i
\(412\) −155367. + 26814.2i −0.915299 + 0.157968i
\(413\) −119576. −0.701044
\(414\) −305018. + 61882.8i −1.77961 + 0.361052i
\(415\) 86606.3i 0.502867i
\(416\) −84825.3 31748.5i −0.490161 0.183458i
\(417\) −73520.3 25622.1i −0.422800 0.147348i
\(418\) 63540.7 + 53513.8i 0.363663 + 0.306276i
\(419\) −133102. + 76846.6i −0.758154 + 0.437720i −0.828633 0.559793i \(-0.810881\pi\)
0.0704785 + 0.997513i \(0.477547\pi\)
\(420\) −98923.3 + 37140.2i −0.560790 + 0.210545i
\(421\) −77206.0 + 133725.i −0.435599 + 0.754479i −0.997344 0.0728309i \(-0.976797\pi\)
0.561746 + 0.827310i \(0.310130\pi\)
\(422\) −29352.6 81103.5i −0.164825 0.455422i
\(423\) −56805.1 + 71600.0i −0.317473 + 0.400159i
\(424\) 36778.8 62909.2i 0.204581 0.349931i
\(425\) −48775.5 + 84481.6i −0.270037 + 0.467718i
\(426\) −81441.9 137260.i −0.448775 0.756354i
\(427\) −124382. + 71812.1i −0.682186 + 0.393860i
\(428\) 4447.15 12081.8i 0.0242769 0.0659544i
\(429\) 65398.4 56423.2i 0.355347 0.306579i
\(430\) 375632. + 66937.2i 2.03154 + 0.362019i
\(431\) 191579.i 1.03132i −0.856793 0.515660i \(-0.827547\pi\)
0.856793 0.515660i \(-0.172453\pi\)
\(432\) −184782. 26156.8i −0.990129 0.140158i
\(433\) −53963.8 −0.287824 −0.143912 0.989591i \(-0.545968\pi\)
−0.143912 + 0.989591i \(0.545968\pi\)
\(434\) 5932.08 33289.1i 0.0314940 0.176735i
\(435\) −133439. 154665.i −0.705185 0.817359i
\(436\) 260136. + 95752.5i 1.36844 + 0.503706i
\(437\) 91930.9 + 159229.i 0.481392 + 0.833795i
\(438\) 60472.0 35880.4i 0.315214 0.187029i
\(439\) 14586.4 + 8421.44i 0.0756864 + 0.0436976i 0.537366 0.843349i \(-0.319420\pi\)
−0.461679 + 0.887047i \(0.652753\pi\)
\(440\) −171511. 100271.i −0.885902 0.517928i
\(441\) 131304. 51914.6i 0.675153 0.266939i
\(442\) −167727. + 60703.0i −0.858534 + 0.310718i
\(443\) 140111. + 80892.9i 0.713943 + 0.412195i 0.812519 0.582934i \(-0.198095\pi\)
−0.0985761 + 0.995130i \(0.531429\pi\)
\(444\) −10626.1 28302.8i −0.0539024 0.143570i
\(445\) −8001.09 13858.3i −0.0404045 0.0699826i
\(446\) 49716.1 59031.5i 0.249935 0.296766i
\(447\) −37594.2 + 107873.i −0.188151 + 0.539881i
\(448\) −1144.04 + 105051.i −0.00570015 + 0.523411i
\(449\) 127200. 0.630949 0.315475 0.948934i \(-0.397836\pi\)
0.315475 + 0.948934i \(0.397836\pi\)
\(450\) 46975.0 41514.2i 0.231975 0.205008i
\(451\) 114624.i 0.563538i
\(452\) 46662.0 + 270369.i 0.228395 + 1.32337i
\(453\) 21501.3 + 112860.i 0.104778 + 0.549977i
\(454\) −167048. + 198348.i −0.810456 + 0.962311i
\(455\) 56207.7 32451.5i 0.271502 0.156752i
\(456\) 20042.8 + 108412.i 0.0963893 + 0.521372i
\(457\) 9423.93 16322.7i 0.0451232 0.0781556i −0.842582 0.538569i \(-0.818965\pi\)
0.887705 + 0.460413i \(0.152299\pi\)
\(458\) 147256. 53294.4i 0.702009 0.254068i
\(459\) −310465. + 196715.i −1.47362 + 0.933711i
\(460\) −281415. 337860.i −1.32994 1.59669i
\(461\) 29335.9 50811.3i 0.138038 0.239088i −0.788716 0.614758i \(-0.789254\pi\)
0.926754 + 0.375669i \(0.122587\pi\)
\(462\) −87355.7 49057.1i −0.409267 0.229836i
\(463\) −41167.7 + 23768.2i −0.192041 + 0.110875i −0.592938 0.805248i \(-0.702032\pi\)
0.400897 + 0.916123i \(0.368699\pi\)
\(464\) −191346. + 68075.3i −0.888760 + 0.316194i
\(465\) 15881.7 + 83362.9i 0.0734499 + 0.385538i
\(466\) 1619.29 9086.96i 0.00745679 0.0418453i
\(467\) 150686.i 0.690936i −0.938431 0.345468i \(-0.887720\pi\)
0.938431 0.345468i \(-0.112280\pi\)
\(468\) 114598. 2730.02i 0.523220 0.0124645i
\(469\) 181482. 0.825066
\(470\) −127123. 22653.2i −0.575478 0.102550i
\(471\) −120149. + 344757.i −0.541602 + 1.55407i
\(472\) 1624.63 298370.i 0.00729240 1.33928i
\(473\) 180885. + 313302.i 0.808500 + 1.40036i
\(474\) −63343.0 + 754.392i −0.281930 + 0.00335769i
\(475\) −32072.9 18517.3i −0.142152 0.0820712i
\(476\) 132417. + 158976.i 0.584425 + 0.701647i
\(477\) −13516.5 + 91232.0i −0.0594054 + 0.400969i
\(478\) 103741. + 286644.i 0.454041 + 1.25455i
\(479\) −47830.3 27614.8i −0.208464 0.120357i 0.392133 0.919908i \(-0.371737\pi\)
−0.600598 + 0.799551i \(0.705071\pi\)
\(480\) −91328.9 247340.i −0.396393 1.07352i
\(481\) 9284.65 + 16081.5i 0.0401306 + 0.0695082i
\(482\) −49913.5 42037.0i −0.214844 0.180941i
\(483\) −144850. 167891.i −0.620904 0.719671i
\(484\) 7803.61 + 45215.7i 0.0333123 + 0.193018i
\(485\) 62991.1 0.267791
\(486\) 229351. 56451.4i 0.971019 0.239002i
\(487\) 2975.59i 0.0125463i −0.999980 0.00627313i \(-0.998003\pi\)
0.999980 0.00627313i \(-0.00199681\pi\)
\(488\) −177497. 311337.i −0.745335 1.30735i
\(489\) 46834.9 40407.3i 0.195863 0.168983i
\(490\) 152578. + 128501.i 0.635476 + 0.535196i
\(491\) 234443. 135356.i 0.972467 0.561454i 0.0724794 0.997370i \(-0.476909\pi\)
0.899987 + 0.435916i \(0.143576\pi\)
\(492\) −96600.6 + 117513.i −0.399071 + 0.485462i
\(493\) −199989. + 346391.i −0.822834 + 1.42519i
\(494\) −23045.5 63676.5i −0.0944350 0.260931i
\(495\) 248728. + 36850.2i 1.01511 + 0.150394i
\(496\) 82983.0 + 15254.1i 0.337307 + 0.0620047i
\(497\) 56855.6 98476.8i 0.230176 0.398677i
\(498\) 108972. 1297.82i 0.439396 0.00523305i
\(499\) −226339. + 130677.i −0.908988 + 0.524805i −0.880105 0.474778i \(-0.842528\pi\)
−0.0288827 + 0.999583i \(0.509195\pi\)
\(500\) −185365. 68230.3i −0.741459 0.272921i
\(501\) −298383. 103988.i −1.18877 0.414292i
\(502\) 133236. + 23742.5i 0.528704 + 0.0942146i
\(503\) 283008.i 1.11857i −0.828976 0.559284i \(-0.811076\pi\)
0.828976 0.559284i \(-0.188924\pi\)
\(504\) −48213.8 123913.i −0.189806 0.487817i
\(505\) 20932.9 0.0820816
\(506\) 73141.5 410448.i 0.285669 1.60309i
\(507\) 183342. 34929.0i 0.713257 0.135885i
\(508\) 53010.9 144018.i 0.205418 0.558069i
\(509\) 106839. + 185051.i 0.412378 + 0.714259i 0.995149 0.0983769i \(-0.0313651\pi\)
−0.582772 + 0.812636i \(0.698032\pi\)
\(510\) −452753. 254256.i −1.74069 0.977533i
\(511\) 43385.4 + 25048.6i 0.166151 + 0.0959271i
\(512\) −262109. 4281.91i −0.999867 0.0163342i
\(513\) −74681.8 117866.i −0.283779 0.447872i
\(514\) −216445. + 78335.0i −0.819260 + 0.296503i
\(515\) 244145. + 140957.i 0.920520 + 0.531463i
\(516\) −78594.5 + 473640.i −0.295184 + 1.77889i
\(517\) −61215.9 106029.i −0.229025 0.396683i
\(518\) 13874.9 16474.7i 0.0517097 0.0613985i
\(519\) −26376.6 + 5025.08i −0.0979229 + 0.0186556i
\(520\) 80210.0 + 140691.i 0.296635 + 0.520309i
\(521\) 168525. 0.620854 0.310427 0.950597i \(-0.399528\pi\)
0.310427 + 0.950597i \(0.399528\pi\)
\(522\) 192607. 170216.i 0.706855 0.624683i
\(523\) 231592.i 0.846681i −0.905971 0.423340i \(-0.860857\pi\)
0.905971 0.423340i \(-0.139143\pi\)
\(524\) 71609.4 12358.8i 0.260800 0.0450105i
\(525\) 42176.6 + 14698.7i 0.153022 + 0.0533287i
\(526\) 202379. 240299.i 0.731467 0.868522i
\(527\) 143904. 83082.9i 0.518145 0.299151i
\(528\) 123595. 217305.i 0.443337 0.779475i
\(529\) 321448. 556764.i 1.14868 1.98957i
\(530\) −122522. + 44342.8i −0.436178 + 0.157860i
\(531\) 138847. + 351177.i 0.492434 + 1.24548i
\(532\) −60354.5 + 50271.2i −0.213249 + 0.177622i
\(533\) 46718.9 80919.5i 0.164452 0.284839i
\(534\) 17317.2 10275.0i 0.0607290 0.0360329i
\(535\) −19936.1 + 11510.1i −0.0696518 + 0.0402135i
\(536\) −2465.72 + 452838.i −0.00858250 + 1.57621i
\(537\) −308004. + 265734.i −1.06809 + 0.921506i
\(538\) 3773.23 21174.3i 0.0130361 0.0731550i
\(539\) 189139.i 0.651035i
\(540\) 223940. + 247397.i 0.767971 + 0.848411i
\(541\) −3552.06 −0.0121363 −0.00606815 0.999982i \(-0.501932\pi\)
−0.00606815 + 0.999982i \(0.501932\pi\)
\(542\) 425745. + 75867.3i 1.44927 + 0.258259i
\(543\) 162270. + 188082.i 0.550350 + 0.637894i
\(544\) −398480. + 328249.i −1.34651 + 1.10919i
\(545\) −247826. 429248.i −0.834362 1.44516i
\(546\) 41674.3 + 70236.8i 0.139792 + 0.235602i
\(547\) −444293. 256513.i −1.48489 0.857302i −0.485039 0.874493i \(-0.661195\pi\)
−0.999852 + 0.0171904i \(0.994528\pi\)
\(548\) −60260.6 + 50193.0i −0.200665 + 0.167141i
\(549\) 355328. + 281906.i 1.17892 + 0.935319i
\(550\) 28578.7 + 78965.1i 0.0944752 + 0.261042i
\(551\) −131505. 75924.6i −0.433152 0.250080i
\(552\) 420894. 359152.i 1.38132 1.17869i
\(553\) −22566.4 39086.1i −0.0737924 0.127812i
\(554\) 134442. + 113226.i 0.438041 + 0.368917i
\(555\) −17789.7 + 51045.7i −0.0577539 + 0.165719i
\(556\) 136396. 23540.1i 0.441217 0.0761482i
\(557\) −269383. −0.868281 −0.434141 0.900845i \(-0.642948\pi\)
−0.434141 + 0.900845i \(0.642948\pi\)
\(558\) −104653. + 21232.3i −0.336111 + 0.0681913i
\(559\) 294903.i 0.943746i
\(560\) 121789. 143021.i 0.388358 0.456062i
\(561\) −92140.3 483643.i −0.292768 1.53674i
\(562\) −155641. 131081.i −0.492779 0.415017i
\(563\) −48439.2 + 27966.4i −0.152820 + 0.0882307i −0.574460 0.818533i \(-0.694788\pi\)
0.421640 + 0.906763i \(0.361455\pi\)
\(564\) 26598.3 160291.i 0.0836172 0.503909i
\(565\) 245294. 424861.i 0.768404 1.33092i
\(566\) −35930.5 99278.4i −0.112158 0.309900i
\(567\) 115079. + 122781.i 0.357956 + 0.381915i
\(568\) 244949. + 143205.i 0.759239 + 0.443877i
\(569\) −212266. + 367655.i −0.655625 + 1.13558i 0.326111 + 0.945331i \(0.394262\pi\)
−0.981737 + 0.190245i \(0.939072\pi\)
\(570\) 96526.9 171885.i 0.297097 0.529039i
\(571\) −25297.4 + 14605.5i −0.0775897 + 0.0447964i −0.538293 0.842758i \(-0.680931\pi\)
0.460703 + 0.887554i \(0.347597\pi\)
\(572\) −53042.1 + 144102.i −0.162117 + 0.440432i
\(573\) 31703.4 + 166411.i 0.0965600 + 0.506842i
\(574\) −106700. 19013.9i −0.323848 0.0577094i
\(575\) 185863.i 0.562158i
\(576\) 309846. 118621.i 0.933901 0.357532i
\(577\) −494524. −1.48537 −0.742687 0.669639i \(-0.766449\pi\)
−0.742687 + 0.669639i \(0.766449\pi\)
\(578\) −119763. + 672074.i −0.358482 + 2.01169i
\(579\) 28001.8 80348.4i 0.0835272 0.239673i
\(580\) 340796. + 125443.i 1.01307 + 0.372897i
\(581\) 38822.0 + 67241.7i 0.115007 + 0.199199i
\(582\) 943.938 + 79258.3i 0.00278675 + 0.233991i
\(583\) −106993. 61772.5i −0.314788 0.181743i
\(584\) −63091.1 + 107916.i −0.184988 + 0.316417i
\(585\) −160571. 127392.i −0.469197 0.372246i
\(586\) 491936. 178040.i 1.43256 0.518467i
\(587\) 208206. + 120208.i 0.604251 + 0.348865i 0.770712 0.637183i \(-0.219901\pi\)
−0.166461 + 0.986048i \(0.553234\pi\)
\(588\) −159399. + 193906.i −0.461032 + 0.560837i
\(589\) 31541.9 + 54632.2i 0.0909197 + 0.157477i
\(590\) −343678. + 408074.i −0.987298 + 1.17229i
\(591\) −127284. 147531.i −0.364417 0.422384i
\(592\) 40919.5 + 34844.9i 0.116758 + 0.0994250i
\(593\) −470902. −1.33912 −0.669562 0.742756i \(-0.733518\pi\)
−0.669562 + 0.742756i \(0.733518\pi\)
\(594\) −42639.4 + 313513.i −0.120848 + 0.888552i
\(595\) 369954.i 1.04499i
\(596\) −34539.4 200128.i −0.0972349 0.563398i
\(597\) 172140. 148516.i 0.482985 0.416701i
\(598\) −218926. + 259947.i −0.612203 + 0.726912i
\(599\) −8669.92 + 5005.58i −0.0241636 + 0.0139509i −0.512033 0.858966i \(-0.671108\pi\)
0.487870 + 0.872917i \(0.337774\pi\)
\(600\) −37249.6 + 105040.i −0.103471 + 0.291778i
\(601\) −196449. + 340259.i −0.543876 + 0.942021i 0.454800 + 0.890593i \(0.349711\pi\)
−0.998677 + 0.0514280i \(0.983623\pi\)
\(602\) −321648. + 116410.i −0.887540 + 0.321215i
\(603\) −210730. 532985.i −0.579550 1.46582i
\(604\) −130720. 156939.i −0.358317 0.430188i
\(605\) 41022.2 71052.5i 0.112075 0.194119i
\(606\) 313.684 + 26338.7i 0.000854176 + 0.0717214i
\(607\) −375426. + 216752.i −1.01894 + 0.588283i −0.913796 0.406174i \(-0.866863\pi\)
−0.105141 + 0.994457i \(0.533529\pi\)
\(608\) −124618. 151281.i −0.337111 0.409238i
\(609\) 172932. + 60267.7i 0.466274 + 0.162499i
\(610\) −112421. + 630872.i −0.302125 + 1.69544i
\(611\) 99802.2i 0.267336i
\(612\) 313132. 573484.i 0.836036 1.53115i
\(613\) 301951. 0.803555 0.401778 0.915737i \(-0.368393\pi\)
0.401778 + 0.915737i \(0.368393\pi\)
\(614\) −213545. 38053.5i −0.566439 0.100939i
\(615\) 267199. 50904.9i 0.706456 0.134589i
\(616\) 178109. + 969.810i 0.469380 + 0.00255579i
\(617\) −98373.3 170388.i −0.258409 0.447577i 0.707407 0.706806i \(-0.249865\pi\)
−0.965816 + 0.259229i \(0.916531\pi\)
\(618\) −173700. + 309307.i −0.454803 + 0.809864i
\(619\) 536199. + 309575.i 1.39941 + 0.807949i 0.994331 0.106333i \(-0.0339110\pi\)
0.405078 + 0.914282i \(0.367244\pi\)
\(620\) −96554.8 115921.i −0.251183 0.301565i
\(621\) −324877. + 620351.i −0.842434 + 1.60862i
\(622\) −185077. 511380.i −0.478378 1.32179i
\(623\) 12424.2 + 7173.12i 0.0320105 + 0.0184813i
\(624\) −175822. + 103032.i −0.451549 + 0.264609i
\(625\) 237059. + 410598.i 0.606870 + 1.05113i
\(626\) −502947. 423581.i −1.28343 1.08090i
\(627\) 183612. 34980.5i 0.467053 0.0889797i
\(628\) −110386. 639600.i −0.279896 1.62177i
\(629\) 105847. 0.267532
\(630\) −75561.7 + 225420.i −0.190380 + 0.567952i
\(631\) 308766.i 0.775479i 0.921769 + 0.387740i \(0.126744\pi\)
−0.921769 + 0.387740i \(0.873256\pi\)
\(632\) 97835.0 55777.0i 0.244940 0.139644i
\(633\) −183256. 63865.6i −0.457353 0.159390i
\(634\) −369034. 310800.i −0.918096 0.773218i
\(635\) −237642. + 137203.i −0.589354 + 0.340264i
\(636\) −57630.2 153499.i −0.142474 0.379481i
\(637\) 77090.0 133524.i 0.189985 0.329064i
\(638\) 117178. + 323772.i 0.287877 + 0.795424i
\(639\) −355229. 52628.9i −0.869976 0.128891i
\(640\) 355214. + 305834.i 0.867222 + 0.746665i
\(641\) 171200. 296528.i 0.416666 0.721687i −0.578935 0.815373i \(-0.696532\pi\)
0.995602 + 0.0936860i \(0.0298650\pi\)
\(642\) −14781.3 24912.0i −0.0358626 0.0604419i
\(643\) 478867. 276474.i 1.15823 0.668702i 0.207347 0.978267i \(-0.433517\pi\)
0.950878 + 0.309566i \(0.100184\pi\)
\(644\) 369941. + 136170.i 0.891991 + 0.328330i
\(645\) 650003. 560797.i 1.56241 1.34799i
\(646\) −380015. 67718.3i −0.910617 0.162271i
\(647\) 576814.i 1.37793i −0.724794 0.688965i \(-0.758065\pi\)
0.724794 0.688965i \(-0.241935\pi\)
\(648\) −307930. + 285479.i −0.733334 + 0.679868i
\(649\) −505858. −1.20099
\(650\) 12009.5 67394.0i 0.0284250 0.159512i
\(651\) −49698.8 57604.4i −0.117269 0.135923i
\(652\) −37986.0 + 103199.i −0.0893569 + 0.242761i
\(653\) 286795. + 496744.i 0.672583 + 1.16495i 0.977169 + 0.212463i \(0.0681484\pi\)
−0.304586 + 0.952485i \(0.598518\pi\)
\(654\) 536386. 318259.i 1.25407 0.744089i
\(655\) −112528. 64968.0i −0.262288 0.151432i
\(656\) 48893.4 265982.i 0.113617 0.618080i
\(657\) 23186.4 156501.i 0.0537159 0.362567i
\(658\) 108854. 39395.9i 0.251415 0.0909911i
\(659\) 299298. + 172800.i 0.689180 + 0.397899i 0.803305 0.595568i \(-0.203073\pi\)
−0.114125 + 0.993466i \(0.536406\pi\)
\(660\) −418487. + 157118.i −0.960714 + 0.360694i
\(661\) 187583. + 324904.i 0.429330 + 0.743622i 0.996814 0.0797628i \(-0.0254163\pi\)
−0.567484 + 0.823385i \(0.692083\pi\)
\(662\) 298080. 353931.i 0.680168 0.807612i
\(663\) −132078. + 378985.i −0.300471 + 0.862174i
\(664\) −168310. + 95955.8i −0.381746 + 0.217638i
\(665\) 140451. 0.317600
\(666\) −64494.6 21618.8i −0.145404 0.0487398i
\(667\) 762077.i 1.71296i
\(668\) 553565. 95537.8i 1.24055 0.214103i
\(669\) −32498.1 170582.i −0.0726115 0.381137i
\(670\) 521604. 619337.i 1.16196 1.37968i
\(671\) −526189. + 303795.i −1.16868 + 0.674739i
\(672\) 181781. + 151097.i 0.402540 + 0.334594i
\(673\) 286866. 496866.i 0.633358 1.09701i −0.353503 0.935433i \(-0.615010\pi\)
0.986861 0.161574i \(-0.0516571\pi\)
\(674\) 706121. 255557.i 1.55439 0.562558i
\(675\) −5805.83 140934.i −0.0127426 0.309319i
\(676\) −254949. + 212355.i −0.557904 + 0.464697i
\(677\) 13789.2 23883.6i 0.0300859 0.0521103i −0.850590 0.525829i \(-0.823755\pi\)
0.880676 + 0.473719i \(0.157089\pi\)
\(678\) 538256. + 302273.i 1.17093 + 0.657567i
\(679\) −48906.7 + 28236.3i −0.106079 + 0.0612447i
\(680\) 923116. + 5026.39i 1.99636 + 0.0108702i
\(681\) 109195. + 573161.i 0.235454 + 1.23590i
\(682\) 25095.2 140827.i 0.0539538 0.302773i
\(683\) 1038.30i 0.00222578i 0.999999 + 0.00111289i \(0.000354244\pi\)
−0.999999 + 0.00111289i \(0.999646\pi\)
\(684\) 217720. + 118879.i 0.465356 + 0.254093i
\(685\) 140232. 0.298859
\(686\) −418573. 74589.3i −0.889454 0.158500i
\(687\) 115958. 332731.i 0.245690 0.704985i
\(688\) −286098. 804164.i −0.604418 1.69890i
\(689\) 50354.8 + 87217.2i 0.106073 + 0.183723i
\(690\) −989275. + 11781.9i −2.07787 + 0.0247467i
\(691\) 289343. + 167052.i 0.605978 + 0.349862i 0.771390 0.636363i \(-0.219562\pi\)
−0.165411 + 0.986225i \(0.552895\pi\)
\(692\) 36678.4 30550.6i 0.0765945 0.0637981i
\(693\) −209632. + 82883.6i −0.436508 + 0.172585i
\(694\) 184101. + 508685.i 0.382241 + 1.05616i
\(695\) −214335. 123746.i −0.443734 0.256190i
\(696\) −152731. + 430685.i −0.315288 + 0.889082i
\(697\) −266302. 461249.i −0.548162 0.949445i
\(698\) −10105.2 8510.57i −0.0207412 0.0174682i
\(699\) −13566.3 15724.3i −0.0277656 0.0321823i
\(700\) −78246.8 + 13504.3i −0.159687 + 0.0275599i
\(701\) 177927. 0.362082 0.181041 0.983476i \(-0.442053\pi\)
0.181041 + 0.983476i \(0.442053\pi\)
\(702\) 157884. 203947.i 0.320379 0.413850i
\(703\) 40184.1i 0.0813100i
\(704\) −4839.78 + 444408.i −0.00976517 + 0.896679i
\(705\) −219977. + 189788.i −0.442587 + 0.381847i
\(706\) −130741. 110110.i −0.262303 0.220911i
\(707\) −16252.4 + 9383.33i −0.0325146 + 0.0187723i
\(708\) −518607. 426317.i −1.03460 0.850484i
\(709\) −362484. + 627841.i −0.721102 + 1.24899i 0.239456 + 0.970907i \(0.423031\pi\)
−0.960558 + 0.278079i \(0.910302\pi\)
\(710\) −172657. 477064.i −0.342506 0.946368i
\(711\) −88586.6 + 111659.i −0.175238 + 0.220879i
\(712\) −18067.3 + 30903.7i −0.0356396 + 0.0609607i
\(713\) 158298. 274180.i 0.311383 0.539332i
\(714\) 465492. 5543.85i 0.913096 0.0108746i
\(715\) 237782. 137284.i 0.465122 0.268538i
\(716\) 249810. 678672.i 0.487286 1.32384i
\(717\) 647683. + 225720.i 1.25987 + 0.439069i
\(718\) −692358. 123378.i −1.34302 0.239325i
\(719\) 536436.i 1.03767i 0.854874 + 0.518836i \(0.173634\pi\)
−0.854874 + 0.518836i \(0.826366\pi\)
\(720\) −561447. 191606.i −1.08304 0.369610i
\(721\) −252741. −0.486189
\(722\) −65742.8 + 368929.i −0.126117 + 0.707731i
\(723\) −144234. + 27478.4i −0.275925 + 0.0525673i
\(724\) −414431. 152546.i −0.790632 0.291021i
\(725\) −76751.2 132937.i −0.146019 0.252912i
\(726\) 90016.2 + 50551.2i 0.170784 + 0.0959088i
\(727\) 375814. + 216977.i 0.711057 + 0.410529i 0.811452 0.584418i \(-0.198677\pi\)
−0.100395 + 0.994948i \(0.532011\pi\)
\(728\) −125342. 73278.9i −0.236501 0.138266i
\(729\) 226965. 480538.i 0.427074 0.904217i
\(730\) 210178. 76066.7i 0.394403 0.142741i
\(731\) −1.45577e6 840486.i −2.72431 1.57288i
\(732\) −795476. 131999.i −1.48458 0.246348i
\(733\) 390208. + 675860.i 0.726254 + 1.25791i 0.958456 + 0.285241i \(0.0920735\pi\)
−0.232202 + 0.972667i \(0.574593\pi\)
\(734\) 20432.5 24260.9i 0.0379253 0.0450314i
\(735\) 440901. 83997.3i 0.816143 0.155486i
\(736\) −344801. + 921234.i −0.636521 + 1.70065i
\(737\) 767746. 1.41346
\(738\) 68055.0 + 335440.i 0.124953 + 0.615888i
\(739\) 215142.i 0.393947i −0.980409 0.196973i \(-0.936889\pi\)
0.980409 0.196973i \(-0.0631112\pi\)
\(740\) −16344.1 94700.9i −0.0298468 0.172938i
\(741\) −143879. 50142.6i −0.262037 0.0913209i
\(742\) 75250.1 89349.7i 0.136678 0.162288i
\(743\) 250360. 144546.i 0.453511 0.261835i −0.255801 0.966730i \(-0.582339\pi\)
0.709312 + 0.704895i \(0.249006\pi\)
\(744\) 144411. 123227.i 0.260888 0.222617i
\(745\) −181567. + 314484.i −0.327133 + 0.566612i
\(746\) 927794. 335784.i 1.66715 0.603367i
\(747\) 152400. 192092.i 0.273113 0.344246i
\(748\) 560178. + 672537.i 1.00120 + 1.20202i
\(749\) 10319.0 17873.0i 0.0183939 0.0318592i
\(750\) −382212. + 226782.i −0.679488 + 0.403167i
\(751\) 593117. 342436.i 1.05162 0.607156i 0.128521 0.991707i \(-0.458977\pi\)
0.923104 + 0.384551i \(0.125644\pi\)
\(752\) 96822.4 + 272149.i 0.171214 + 0.481250i
\(753\) 230554. 198913.i 0.406615 0.350812i
\(754\) 49241.5 276329.i 0.0866141 0.486052i
\(755\) 365213.i 0.640697i
\(756\) −284766. 91697.2i −0.498248 0.160440i
\(757\) −646906. −1.12888 −0.564442 0.825472i \(-0.690909\pi\)
−0.564442 + 0.825472i \(0.690909\pi\)
\(758\) −580545. 103452.i −1.01041 0.180054i
\(759\) −612777. 710251.i −1.06370 1.23290i
\(760\) −1908.24 + 350455.i −0.00330374 + 0.606744i
\(761\) −383411. 664087.i −0.662057 1.14672i −0.980074 0.198631i \(-0.936350\pi\)
0.318018 0.948085i \(-0.396983\pi\)
\(762\) −176196. 296956.i −0.303449 0.511426i
\(763\) 384828.