Properties

Label 76.5.l.a.23.15
Level $76$
Weight $5$
Character 76.23
Analytic conductor $7.856$
Analytic rank $0$
Dimension $228$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 76.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.85611719437\)
Analytic rank: \(0\)
Dimension: \(228\)
Relative dimension: \(38\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 23.15
Character \(\chi\) \(=\) 76.23
Dual form 76.5.l.a.43.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.47024 + 3.72000i) q^{2} +(-11.9688 + 2.11041i) q^{3} +(-11.6768 - 10.9386i) q^{4} +(19.6524 - 16.4903i) q^{5} +(9.74622 - 47.6266i) q^{6} +(0.422999 + 0.244219i) q^{7} +(57.8592 - 27.3552i) q^{8} +(62.6822 - 22.8144i) q^{9} +O(q^{10})\) \(q+(-1.47024 + 3.72000i) q^{2} +(-11.9688 + 2.11041i) q^{3} +(-11.6768 - 10.9386i) q^{4} +(19.6524 - 16.4903i) q^{5} +(9.74622 - 47.6266i) q^{6} +(0.422999 + 0.244219i) q^{7} +(57.8592 - 27.3552i) q^{8} +(62.6822 - 22.8144i) q^{9} +(32.4501 + 97.3515i) q^{10} +(-44.7121 + 25.8145i) q^{11} +(162.841 + 106.279i) q^{12} +(-8.23706 + 46.7147i) q^{13} +(-1.53041 + 1.21450i) q^{14} +(-200.413 + 238.843i) q^{15} +(16.6943 + 255.455i) q^{16} +(197.442 + 71.8629i) q^{17} +(-7.28824 + 266.720i) q^{18} +(338.433 + 125.634i) q^{19} +(-409.857 - 22.4157i) q^{20} +(-5.57818 - 2.03029i) q^{21} +(-30.2925 - 204.283i) q^{22} +(117.519 - 140.054i) q^{23} +(-634.772 + 449.515i) q^{24} +(5.75564 - 32.6419i) q^{25} +(-161.668 - 99.3237i) q^{26} +(150.457 - 86.8666i) q^{27} +(-2.26786 - 7.47871i) q^{28} +(699.726 - 254.680i) q^{29} +(-593.840 - 1096.69i) q^{30} +(917.213 + 529.553i) q^{31} +(-974.837 - 313.478i) q^{32} +(480.669 - 403.329i) q^{33} +(-557.617 + 628.827i) q^{34} +(12.3402 - 2.17591i) q^{35} +(-981.484 - 419.256i) q^{36} +2476.68 q^{37} +(-964.937 + 1074.26i) q^{38} -576.500i q^{39} +(685.975 - 1491.71i) q^{40} +(447.585 + 2538.38i) q^{41} +(15.7540 - 17.7658i) q^{42} +(-1201.03 - 1431.33i) q^{43} +(804.468 + 187.657i) q^{44} +(855.636 - 1482.01i) q^{45} +(348.219 + 643.084i) q^{46} +(-865.351 - 2377.53i) q^{47} +(-738.927 - 3022.25i) q^{48} +(-1200.38 - 2079.12i) q^{49} +(112.966 + 69.4024i) q^{50} +(-2514.79 - 443.426i) q^{51} +(607.175 - 455.375i) q^{52} +(1260.60 + 1057.77i) q^{53} +(101.935 + 687.416i) q^{54} +(-453.009 + 1244.63i) q^{55} +(31.1551 + 2.55907i) q^{56} +(-4315.77 - 789.449i) q^{57} +(-81.3592 + 2977.42i) q^{58} +(-628.009 + 1725.44i) q^{59} +(4952.78 - 596.680i) q^{60} +(-1023.23 - 858.593i) q^{61} +(-3318.46 + 2633.46i) q^{62} +(32.0862 + 5.65767i) q^{63} +(2599.38 - 3165.51i) q^{64} +(608.461 + 1053.89i) q^{65} +(793.684 + 2381.08i) q^{66} +(-1191.01 - 3272.28i) q^{67} +(-1519.40 - 2998.86i) q^{68} +(-1110.99 + 1924.29i) q^{69} +(-10.0487 + 49.1046i) q^{70} +(5098.03 + 6075.60i) q^{71} +(3002.65 - 3034.71i) q^{72} +(176.738 + 1002.33i) q^{73} +(-3641.31 + 9213.24i) q^{74} +402.829i q^{75} +(-2577.55 - 5168.99i) q^{76} -25.2176 q^{77} +(2144.58 + 847.594i) q^{78} +(4442.37 - 783.311i) q^{79} +(4540.61 + 4745.00i) q^{80} +(-5756.48 + 4830.26i) q^{81} +(-10100.8 - 2067.02i) q^{82} +(7175.60 + 4142.83i) q^{83} +(42.9266 + 84.7247i) q^{84} +(5065.24 - 1843.60i) q^{85} +(7090.37 - 2363.43i) q^{86} +(-7837.37 + 4524.91i) q^{87} +(-1880.85 + 2716.72i) q^{88} +(-280.893 + 1593.03i) q^{89} +(4255.07 + 5361.87i) q^{90} +(-14.8929 + 17.7486i) q^{91} +(-2904.24 + 349.884i) q^{92} +(-12095.5 - 4402.39i) q^{93} +(10116.7 + 276.443i) q^{94} +(8722.76 - 3111.86i) q^{95} +(12329.2 + 1694.63i) q^{96} +(-9278.24 - 3377.00i) q^{97} +(9499.17 - 1408.61i) q^{98} +(-2213.71 + 2638.19i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} + O(q^{10}) \) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} - 453q^{10} - 3q^{12} + 516q^{13} + 81q^{14} - 720q^{16} - 12q^{17} - 12q^{18} - 1182q^{20} - 930q^{21} - 54q^{22} - 2664q^{24} - 12q^{25} - 3099q^{26} - 4824q^{28} - 12q^{29} + 5814q^{30} + 7419q^{32} + 1542q^{33} + 6912q^{34} + 8547q^{36} - 24q^{37} - 1536q^{38} - 6942q^{40} + 6396q^{41} - 18855q^{42} - 1143q^{44} - 6q^{45} - 1488q^{46} + 6093q^{48} + 26748q^{49} + 8070q^{50} - 12591q^{52} + 2436q^{53} - 7365q^{54} - 14418q^{56} - 12q^{57} + 8268q^{58} + 34632q^{60} - 31068q^{61} + 27396q^{62} + 4575q^{64} + 3594q^{65} - 29556q^{66} - 22782q^{68} + 29370q^{69} - 71541q^{70} - 30174q^{72} - 6348q^{73} - 417q^{74} + 43194q^{76} - 50436q^{77} + 45537q^{78} + 30081q^{80} - 41994q^{81} + 72219q^{82} + 13779q^{84} - 59244q^{85} + 19200q^{86} - 22395q^{88} + 1860q^{89} + 45594q^{90} - 64140q^{92} + 59118q^{93} - 55590q^{94} - 98646q^{96} - 5556q^{97} - 52215q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.47024 + 3.72000i −0.367560 + 0.930000i
\(3\) −11.9688 + 2.11041i −1.32986 + 0.234491i −0.793022 0.609193i \(-0.791493\pi\)
−0.536840 + 0.843684i \(0.680382\pi\)
\(4\) −11.6768 10.9386i −0.729799 0.683662i
\(5\) 19.6524 16.4903i 0.786095 0.659612i −0.158681 0.987330i \(-0.550724\pi\)
0.944776 + 0.327718i \(0.106280\pi\)
\(6\) 9.74622 47.6266i 0.270728 1.32296i
\(7\) 0.422999 + 0.244219i 0.00863264 + 0.00498406i 0.504310 0.863523i \(-0.331747\pi\)
−0.495677 + 0.868507i \(0.665080\pi\)
\(8\) 57.8592 27.3552i 0.904051 0.427425i
\(9\) 62.6822 22.8144i 0.773854 0.281660i
\(10\) 32.4501 + 97.3515i 0.324501 + 0.973515i
\(11\) −44.7121 + 25.8145i −0.369521 + 0.213343i −0.673249 0.739415i \(-0.735102\pi\)
0.303728 + 0.952759i \(0.401769\pi\)
\(12\) 162.841 + 106.279i 1.13084 + 0.738045i
\(13\) −8.23706 + 46.7147i −0.0487400 + 0.276418i −0.999431 0.0337205i \(-0.989264\pi\)
0.950691 + 0.310139i \(0.100375\pi\)
\(14\) −1.53041 + 1.21450i −0.00780819 + 0.00619641i
\(15\) −200.413 + 238.843i −0.890725 + 1.06152i
\(16\) 16.6943 + 255.455i 0.0652122 + 0.997871i
\(17\) 197.442 + 71.8629i 0.683190 + 0.248661i 0.660216 0.751075i \(-0.270465\pi\)
0.0229732 + 0.999736i \(0.492687\pi\)
\(18\) −7.28824 + 266.720i −0.0224946 + 0.823211i
\(19\) 338.433 + 125.634i 0.937488 + 0.348017i
\(20\) −409.857 22.4157i −1.02464 0.0560394i
\(21\) −5.57818 2.03029i −0.0126489 0.00460384i
\(22\) −30.2925 204.283i −0.0625877 0.422071i
\(23\) 117.519 140.054i 0.222153 0.264752i −0.643443 0.765494i \(-0.722495\pi\)
0.865597 + 0.500741i \(0.166939\pi\)
\(24\) −634.772 + 449.515i −1.10204 + 0.780408i
\(25\) 5.75564 32.6419i 0.00920903 0.0522270i
\(26\) −161.668 99.3237i −0.239154 0.146929i
\(27\) 150.457 86.8666i 0.206389 0.119159i
\(28\) −2.26786 7.47871i −0.00289268 0.00953917i
\(29\) 699.726 254.680i 0.832017 0.302829i 0.109331 0.994005i \(-0.465129\pi\)
0.722686 + 0.691176i \(0.242907\pi\)
\(30\) −593.840 1096.69i −0.659822 1.21855i
\(31\) 917.213 + 529.553i 0.954436 + 0.551044i 0.894456 0.447156i \(-0.147563\pi\)
0.0599799 + 0.998200i \(0.480896\pi\)
\(32\) −974.837 313.478i −0.951990 0.306131i
\(33\) 480.669 403.329i 0.441385 0.370366i
\(34\) −557.617 + 628.827i −0.482368 + 0.543968i
\(35\) 12.3402 2.17591i 0.0100736 0.00177625i
\(36\) −981.484 419.256i −0.757318 0.323500i
\(37\) 2476.68 1.80911 0.904557 0.426352i \(-0.140202\pi\)
0.904557 + 0.426352i \(0.140202\pi\)
\(38\) −964.937 + 1074.26i −0.668239 + 0.743947i
\(39\) 576.500i 0.379027i
\(40\) 685.975 1491.71i 0.428735 0.932319i
\(41\) 447.585 + 2538.38i 0.266261 + 1.51004i 0.765419 + 0.643532i \(0.222532\pi\)
−0.499158 + 0.866511i \(0.666357\pi\)
\(42\) 15.7540 17.7658i 0.00893081 0.0100713i
\(43\) −1201.03 1431.33i −0.649557 0.774112i 0.336290 0.941759i \(-0.390828\pi\)
−0.985847 + 0.167646i \(0.946383\pi\)
\(44\) 804.468 + 187.657i 0.415531 + 0.0969302i
\(45\) 855.636 1482.01i 0.422536 0.731854i
\(46\) 348.219 + 643.084i 0.164565 + 0.303915i
\(47\) −865.351 2377.53i −0.391739 1.07629i −0.966207 0.257767i \(-0.917013\pi\)
0.574468 0.818527i \(-0.305209\pi\)
\(48\) −738.927 3022.25i −0.320715 1.31174i
\(49\) −1200.38 2079.12i −0.499950 0.865939i
\(50\) 112.966 + 69.4024i 0.0451862 + 0.0277610i
\(51\) −2514.79 443.426i −0.966856 0.170483i
\(52\) 607.175 455.375i 0.224547 0.168408i
\(53\) 1260.60 + 1057.77i 0.448772 + 0.376564i 0.838980 0.544162i \(-0.183152\pi\)
−0.390208 + 0.920727i \(0.627597\pi\)
\(54\) 101.935 + 687.416i 0.0349571 + 0.235739i
\(55\) −453.009 + 1244.63i −0.149755 + 0.411449i
\(56\) 31.1551 + 2.55907i 0.00993466 + 0.000816031i
\(57\) −4315.77 789.449i −1.32834 0.242982i
\(58\) −81.3592 + 2977.42i −0.0241853 + 0.885084i
\(59\) −628.009 + 1725.44i −0.180411 + 0.495674i −0.996626 0.0820732i \(-0.973846\pi\)
0.816216 + 0.577747i \(0.196068\pi\)
\(60\) 4952.78 596.680i 1.37577 0.165744i
\(61\) −1023.23 858.593i −0.274988 0.230743i 0.494855 0.868976i \(-0.335221\pi\)
−0.769843 + 0.638233i \(0.779666\pi\)
\(62\) −3318.46 + 2633.46i −0.863284 + 0.685083i
\(63\) 32.0862 + 5.65767i 0.00808421 + 0.00142546i
\(64\) 2599.38 3165.51i 0.634615 0.772828i
\(65\) 608.461 + 1053.89i 0.144014 + 0.249440i
\(66\) 793.684 + 2381.08i 0.182205 + 0.546620i
\(67\) −1191.01 3272.28i −0.265318 0.728956i −0.998787 0.0492332i \(-0.984322\pi\)
0.733469 0.679723i \(-0.237900\pi\)
\(68\) −1519.40 2998.86i −0.328591 0.648543i
\(69\) −1110.99 + 1924.29i −0.233352 + 0.404177i
\(70\) −10.0487 + 49.1046i −0.00205075 + 0.0100213i
\(71\) 5098.03 + 6075.60i 1.01131 + 1.20524i 0.978600 + 0.205773i \(0.0659707\pi\)
0.0327143 + 0.999465i \(0.489585\pi\)
\(72\) 3002.65 3034.71i 0.579215 0.585399i
\(73\) 176.738 + 1002.33i 0.0331653 + 0.188090i 0.996890 0.0788097i \(-0.0251120\pi\)
−0.963724 + 0.266899i \(0.914001\pi\)
\(74\) −3641.31 + 9213.24i −0.664959 + 1.68248i
\(75\) 402.829i 0.0716141i
\(76\) −2577.55 5168.99i −0.446252 0.894907i
\(77\) −25.2176 −0.00425326
\(78\) 2144.58 + 847.594i 0.352495 + 0.139315i
\(79\) 4442.37 783.311i 0.711805 0.125510i 0.193991 0.981003i \(-0.437857\pi\)
0.517814 + 0.855493i \(0.326746\pi\)
\(80\) 4540.61 + 4745.00i 0.709471 + 0.741407i
\(81\) −5756.48 + 4830.26i −0.877378 + 0.736208i
\(82\) −10100.8 2067.02i −1.50221 0.307409i
\(83\) 7175.60 + 4142.83i 1.04160 + 0.601369i 0.920287 0.391245i \(-0.127955\pi\)
0.121316 + 0.992614i \(0.461289\pi\)
\(84\) 42.9266 + 84.7247i 0.00608371 + 0.0120075i
\(85\) 5065.24 1843.60i 0.701071 0.255169i
\(86\) 7090.37 2363.43i 0.958676 0.319555i
\(87\) −7837.37 + 4524.91i −1.03546 + 0.597821i
\(88\) −1880.85 + 2716.72i −0.242878 + 0.350816i
\(89\) −280.893 + 1593.03i −0.0354619 + 0.201114i −0.997391 0.0721835i \(-0.977003\pi\)
0.961930 + 0.273298i \(0.0881144\pi\)
\(90\) 4255.07 + 5361.87i 0.525317 + 0.661959i
\(91\) −14.8929 + 17.7486i −0.00179844 + 0.00214330i
\(92\) −2904.24 + 349.884i −0.343128 + 0.0413379i
\(93\) −12095.5 4402.39i −1.39848 0.509006i
\(94\) 10116.7 + 276.443i 1.14494 + 0.0312859i
\(95\) 8722.76 3111.86i 0.966511 0.344804i
\(96\) 12329.2 + 1694.63i 1.33780 + 0.183879i
\(97\) −9278.24 3377.00i −0.986102 0.358912i −0.201892 0.979408i \(-0.564709\pi\)
−0.784210 + 0.620496i \(0.786931\pi\)
\(98\) 9499.17 1408.61i 0.989085 0.146669i
\(99\) −2213.71 + 2638.19i −0.225865 + 0.269176i
\(100\) −424.263 + 318.193i −0.0424263 + 0.0318193i
\(101\) 891.082 5053.57i 0.0873524 0.495400i −0.909472 0.415766i \(-0.863514\pi\)
0.996824 0.0796343i \(-0.0253752\pi\)
\(102\) 5346.90 8703.09i 0.513927 0.836513i
\(103\) 8462.02 4885.55i 0.797627 0.460510i −0.0450137 0.998986i \(-0.514333\pi\)
0.842641 + 0.538476i \(0.181000\pi\)
\(104\) 801.300 + 2928.20i 0.0740847 + 0.270729i
\(105\) −143.105 + 52.0858i −0.0129800 + 0.00472434i
\(106\) −5788.29 + 3134.26i −0.515156 + 0.278948i
\(107\) 10661.5 + 6155.45i 0.931221 + 0.537641i 0.887198 0.461390i \(-0.152649\pi\)
0.0440234 + 0.999030i \(0.485982\pi\)
\(108\) −2707.06 631.470i −0.232086 0.0541384i
\(109\) 12913.0 10835.3i 1.08686 0.911982i 0.0903854 0.995907i \(-0.471190\pi\)
0.996472 + 0.0839252i \(0.0267457\pi\)
\(110\) −3964.00 3515.10i −0.327603 0.290504i
\(111\) −29642.8 + 5226.82i −2.40587 + 0.424220i
\(112\) −55.3253 + 112.134i −0.00441050 + 0.00893929i
\(113\) −21234.0 −1.66294 −0.831469 0.555572i \(-0.812499\pi\)
−0.831469 + 0.555572i \(0.812499\pi\)
\(114\) 9281.97 14894.0i 0.714217 1.14604i
\(115\) 4690.32i 0.354655i
\(116\) −10956.4 4680.19i −0.814238 0.347814i
\(117\) 549.453 + 3116.10i 0.0401383 + 0.227635i
\(118\) −5495.31 4873.01i −0.394665 0.349972i
\(119\) 65.9675 + 78.6170i 0.00465839 + 0.00555166i
\(120\) −5062.14 + 19301.6i −0.351538 + 1.34039i
\(121\) −5987.72 + 10371.0i −0.408969 + 0.708356i
\(122\) 4698.36 2544.08i 0.315665 0.170927i
\(123\) −10714.1 29436.7i −0.708181 1.94571i
\(124\) −4917.53 16216.5i −0.319818 1.05466i
\(125\) 7591.82 + 13149.4i 0.485877 + 0.841563i
\(126\) −68.2210 + 111.043i −0.00429712 + 0.00699437i
\(127\) −27791.2 4900.33i −1.72306 0.303821i −0.777404 0.629001i \(-0.783464\pi\)
−0.945652 + 0.325180i \(0.894575\pi\)
\(128\) 7953.95 + 14323.8i 0.485471 + 0.874253i
\(129\) 17395.6 + 14596.6i 1.04534 + 0.877147i
\(130\) −4815.04 + 714.008i −0.284913 + 0.0422490i
\(131\) 1565.07 4299.99i 0.0911992 0.250568i −0.885704 0.464251i \(-0.846324\pi\)
0.976903 + 0.213683i \(0.0685459\pi\)
\(132\) −10024.5 548.257i −0.575328 0.0314656i
\(133\) 112.475 + 135.795i 0.00635846 + 0.00767680i
\(134\) 13924.0 + 380.478i 0.775449 + 0.0211895i
\(135\) 1524.39 4188.22i 0.0836427 0.229806i
\(136\) 13389.7 1243.13i 0.723922 0.0672108i
\(137\) −15397.2 12919.7i −0.820350 0.688356i 0.132704 0.991156i \(-0.457634\pi\)
−0.953054 + 0.302800i \(0.902079\pi\)
\(138\) −5524.92 6962.03i −0.290113 0.365576i
\(139\) 6138.45 + 1082.37i 0.317709 + 0.0560206i 0.330229 0.943901i \(-0.392874\pi\)
−0.0125198 + 0.999922i \(0.503985\pi\)
\(140\) −167.895 109.577i −0.00856607 0.00559065i
\(141\) 15374.8 + 26629.9i 0.773339 + 1.33946i
\(142\) −30096.6 + 10032.1i −1.49259 + 0.497524i
\(143\) −837.622 2301.35i −0.0409615 0.112541i
\(144\) 6874.50 + 15631.6i 0.331525 + 0.753839i
\(145\) 9551.54 16543.7i 0.454294 0.786861i
\(146\) −3988.51 816.203i −0.187114 0.0382906i
\(147\) 18754.9 + 22351.2i 0.867919 + 1.03435i
\(148\) −28919.6 27091.4i −1.32029 1.23682i
\(149\) −1069.31 6064.38i −0.0481651 0.273158i 0.951208 0.308549i \(-0.0998434\pi\)
−0.999374 + 0.0353910i \(0.988732\pi\)
\(150\) −1498.52 592.256i −0.0666011 0.0263225i
\(151\) 12159.5i 0.533290i 0.963795 + 0.266645i \(0.0859151\pi\)
−0.963795 + 0.266645i \(0.914085\pi\)
\(152\) 23018.2 1988.83i 0.996288 0.0860814i
\(153\) 14015.6 0.598727
\(154\) 37.0760 93.8094i 0.00156333 0.00395553i
\(155\) 26757.9 4718.14i 1.11375 0.196385i
\(156\) −6306.10 + 6731.66i −0.259126 + 0.276613i
\(157\) 32903.7 27609.5i 1.33489 1.12010i 0.351981 0.936007i \(-0.385508\pi\)
0.982908 0.184098i \(-0.0589363\pi\)
\(158\) −3617.45 + 17677.3i −0.144907 + 0.708111i
\(159\) −17320.2 9999.79i −0.685105 0.395546i
\(160\) −24327.2 + 9914.77i −0.950281 + 0.387296i
\(161\) 83.9144 30.5423i 0.00323731 0.00117829i
\(162\) −9505.14 28515.7i −0.362183 1.08656i
\(163\) 27894.0 16104.6i 1.04987 0.606142i 0.127256 0.991870i \(-0.459383\pi\)
0.922613 + 0.385728i \(0.126050\pi\)
\(164\) 22540.0 34536.1i 0.838042 1.28406i
\(165\) 2795.27 15852.7i 0.102673 0.582286i
\(166\) −25961.2 + 20602.3i −0.942125 + 0.747650i
\(167\) −25997.2 + 30982.2i −0.932166 + 1.11091i 0.0614520 + 0.998110i \(0.480427\pi\)
−0.993618 + 0.112802i \(0.964018\pi\)
\(168\) −378.288 + 35.1212i −0.0134031 + 0.00124438i
\(169\) 24724.1 + 8998.85i 0.865661 + 0.315075i
\(170\) −588.950 + 21553.2i −0.0203789 + 0.745786i
\(171\) 24080.0 + 153.850i 0.823501 + 0.00526145i
\(172\) −1632.60 + 29851.0i −0.0551852 + 1.00902i
\(173\) −19600.4 7133.97i −0.654898 0.238363i −0.00686574 0.999976i \(-0.502185\pi\)
−0.648032 + 0.761613i \(0.724408\pi\)
\(174\) −5309.83 35807.7i −0.175381 1.18271i
\(175\) 10.4064 12.4019i 0.000339801 0.000404959i
\(176\) −7340.89 10991.0i −0.236987 0.354822i
\(177\) 3875.09 21976.8i 0.123690 0.701483i
\(178\) −5513.07 3387.06i −0.174002 0.106901i
\(179\) 13538.1 7816.20i 0.422523 0.243944i −0.273633 0.961834i \(-0.588225\pi\)
0.696156 + 0.717890i \(0.254892\pi\)
\(180\) −26202.1 + 7945.59i −0.808708 + 0.245234i
\(181\) −26998.3 + 9826.56i −0.824097 + 0.299947i −0.719434 0.694561i \(-0.755599\pi\)
−0.104663 + 0.994508i \(0.533377\pi\)
\(182\) −44.1288 81.4962i −0.00133223 0.00246034i
\(183\) 14058.8 + 8116.85i 0.419803 + 0.242374i
\(184\) 2968.36 11318.2i 0.0876762 0.334303i
\(185\) 48672.6 40841.1i 1.42214 1.19331i
\(186\) 34160.2 38522.6i 0.987402 1.11350i
\(187\) −10683.1 + 1883.73i −0.305503 + 0.0538685i
\(188\) −15902.3 + 37227.6i −0.449931 + 1.05329i
\(189\) 84.8578 0.00237557
\(190\) −1248.46 + 37023.8i −0.0345833 + 1.02559i
\(191\) 52489.9i 1.43883i 0.694581 + 0.719414i \(0.255590\pi\)
−0.694581 + 0.719414i \(0.744410\pi\)
\(192\) −24430.9 + 43372.9i −0.662729 + 1.17657i
\(193\) 8982.30 + 50941.1i 0.241142 + 1.36758i 0.829284 + 0.558827i \(0.188748\pi\)
−0.588143 + 0.808757i \(0.700141\pi\)
\(194\) 26203.7 29550.0i 0.696240 0.785153i
\(195\) −9506.66 11329.6i −0.250011 0.297951i
\(196\) −8726.07 + 37407.9i −0.227147 + 0.973758i
\(197\) −26756.4 + 46343.4i −0.689438 + 1.19414i 0.282582 + 0.959243i \(0.408809\pi\)
−0.972020 + 0.234899i \(0.924524\pi\)
\(198\) −6559.39 12113.8i −0.167314 0.308993i
\(199\) 6656.79 + 18289.4i 0.168096 + 0.461841i 0.994926 0.100612i \(-0.0320800\pi\)
−0.826829 + 0.562453i \(0.809858\pi\)
\(200\) −559.909 2046.08i −0.0139977 0.0511520i
\(201\) 21160.8 + 36651.6i 0.523770 + 0.907196i
\(202\) 17489.2 + 10744.8i 0.428615 + 0.263327i
\(203\) 358.181 + 63.1570i 0.00869182 + 0.00153260i
\(204\) 24514.2 + 32686.1i 0.589058 + 0.785421i
\(205\) 50654.8 + 42504.4i 1.20535 + 1.01141i
\(206\) 5733.03 + 38661.7i 0.135098 + 0.911058i
\(207\) 4171.11 11460.0i 0.0973443 0.267451i
\(208\) −12071.0 1324.33i −0.279008 0.0306104i
\(209\) −18375.2 + 3119.14i −0.420669 + 0.0714072i
\(210\) 16.6392 608.927i 0.000377306 0.0138079i
\(211\) −5248.21 + 14419.3i −0.117882 + 0.323877i −0.984575 0.174965i \(-0.944019\pi\)
0.866693 + 0.498842i \(0.166241\pi\)
\(212\) −3149.24 26140.5i −0.0700704 0.581625i
\(213\) −73839.2 61958.4i −1.62752 1.36566i
\(214\) −38573.3 + 30611.0i −0.842286 + 0.668420i
\(215\) −47206.2 8323.73i −1.02123 0.180070i
\(216\) 6329.09 9141.83i 0.135654 0.195941i
\(217\) 258.654 + 448.001i 0.00549287 + 0.00951393i
\(218\) 21322.0 + 63966.6i 0.448657 + 1.34599i
\(219\) −4230.66 11623.7i −0.0882105 0.242356i
\(220\) 18904.2 9578.02i 0.390583 0.197893i
\(221\) −4983.39 + 8631.49i −0.102033 + 0.176726i
\(222\) 24138.3 117956.i 0.489779 2.39339i
\(223\) −42600.8 50769.6i −0.856658 1.02093i −0.999514 0.0311820i \(-0.990073\pi\)
0.142855 0.989744i \(-0.454372\pi\)
\(224\) −335.798 370.675i −0.00669241 0.00738749i
\(225\) −383.930 2177.37i −0.00758380 0.0430099i
\(226\) 31219.2 78990.6i 0.611230 1.54653i
\(227\) 26706.6i 0.518283i 0.965839 + 0.259142i \(0.0834396\pi\)
−0.965839 + 0.259142i \(0.916560\pi\)
\(228\) 41758.8 + 56426.6i 0.803300 + 1.08546i
\(229\) −9168.05 −0.174826 −0.0874130 0.996172i \(-0.527860\pi\)
−0.0874130 + 0.996172i \(0.527860\pi\)
\(230\) 17448.0 + 6895.90i 0.329829 + 0.130357i
\(231\) 301.823 53.2196i 0.00565625 0.000997350i
\(232\) 33518.8 33876.7i 0.622749 0.629398i
\(233\) 22548.6 18920.5i 0.415343 0.348514i −0.411045 0.911615i \(-0.634836\pi\)
0.826388 + 0.563101i \(0.190392\pi\)
\(234\) −12399.7 2537.46i −0.226454 0.0463412i
\(235\) −56212.4 32454.2i −1.01788 0.587673i
\(236\) 26207.0 13278.1i 0.470537 0.238402i
\(237\) −51516.6 + 18750.5i −0.917171 + 0.333823i
\(238\) −389.443 + 129.813i −0.00687528 + 0.00229173i
\(239\) 36781.4 21235.8i 0.643921 0.371768i −0.142202 0.989838i \(-0.545418\pi\)
0.786124 + 0.618069i \(0.212085\pi\)
\(240\) −64359.4 47209.2i −1.11735 0.819604i
\(241\) 17302.1 98125.0i 0.297896 1.68945i −0.357299 0.933990i \(-0.616302\pi\)
0.655194 0.755460i \(-0.272587\pi\)
\(242\) −29776.8 37522.2i −0.508449 0.640705i
\(243\) 49658.5 59180.7i 0.840971 1.00223i
\(244\) 2556.25 + 21218.3i 0.0429361 + 0.356395i
\(245\) −57875.6 21065.0i −0.964192 0.350937i
\(246\) 125257. + 3422.69i 2.06981 + 0.0565584i
\(247\) −8656.65 + 14774.9i −0.141891 + 0.242176i
\(248\) 67555.3 + 5548.98i 1.09839 + 0.0902214i
\(249\) −94626.1 34441.1i −1.52620 0.555492i
\(250\) −60077.6 + 8908.74i −0.961242 + 0.142540i
\(251\) 11058.7 13179.2i 0.175532 0.209191i −0.671104 0.741363i \(-0.734180\pi\)
0.846636 + 0.532172i \(0.178624\pi\)
\(252\) −312.777 417.042i −0.00492531 0.00656717i
\(253\) −1639.10 + 9295.81i −0.0256074 + 0.145227i
\(254\) 59089.0 96178.5i 0.915881 1.49077i
\(255\) −56733.9 + 32755.3i −0.872493 + 0.503734i
\(256\) −64978.6 + 8529.31i −0.991495 + 0.130147i
\(257\) −81873.0 + 29799.3i −1.23958 + 0.451170i −0.876868 0.480731i \(-0.840371\pi\)
−0.362712 + 0.931901i \(0.618149\pi\)
\(258\) −79875.1 + 43250.9i −1.19997 + 0.649765i
\(259\) 1047.63 + 604.851i 0.0156174 + 0.00901673i
\(260\) 4423.16 18961.7i 0.0654313 0.280498i
\(261\) 38050.0 31927.7i 0.558565 0.468691i
\(262\) 13694.9 + 12144.1i 0.199507 + 0.176914i
\(263\) 5284.69 931.833i 0.0764025 0.0134718i −0.135316 0.990802i \(-0.543205\pi\)
0.211719 + 0.977331i \(0.432094\pi\)
\(264\) 16778.0 36485.1i 0.240731 0.523489i
\(265\) 42216.7 0.601164
\(266\) −670.522 + 218.755i −0.00947654 + 0.00309168i
\(267\) 19659.3i 0.275770i
\(268\) −21887.0 + 51237.8i −0.304731 + 0.713379i
\(269\) 8851.00 + 50196.5i 0.122317 + 0.693696i 0.982865 + 0.184326i \(0.0590103\pi\)
−0.860548 + 0.509370i \(0.829879\pi\)
\(270\) 13339.0 + 11828.4i 0.182976 + 0.162255i
\(271\) 40344.4 + 48080.6i 0.549344 + 0.654683i 0.967255 0.253805i \(-0.0816821\pi\)
−0.417911 + 0.908488i \(0.637238\pi\)
\(272\) −15061.6 + 51637.2i −0.203579 + 0.697951i
\(273\) 140.792 243.859i 0.00188909 0.00327200i
\(274\) 70699.0 38282.3i 0.941699 0.509913i
\(275\) 585.288 + 1608.07i 0.00773935 + 0.0212637i
\(276\) 34021.7 10316.8i 0.446620 0.135434i
\(277\) 3760.17 + 6512.81i 0.0490059 + 0.0848807i 0.889488 0.456959i \(-0.151061\pi\)
−0.840482 + 0.541840i \(0.817728\pi\)
\(278\) −13051.4 + 21243.7i −0.168876 + 0.274878i
\(279\) 69574.4 + 12267.8i 0.893801 + 0.157601i
\(280\) 654.471 463.465i 0.00834785 0.00591154i
\(281\) 115579. + 96982.1i 1.46375 + 1.22823i 0.921714 + 0.387870i \(0.126789\pi\)
0.542032 + 0.840358i \(0.317655\pi\)
\(282\) −121668. + 18041.7i −1.52995 + 0.226872i
\(283\) 37527.9 103107.i 0.468577 1.28740i −0.450306 0.892874i \(-0.648685\pi\)
0.918883 0.394530i \(-0.129093\pi\)
\(284\) 6929.91 126709.i 0.0859193 1.57098i
\(285\) −97833.3 + 55653.7i −1.20447 + 0.685179i
\(286\) 9792.51 + 267.584i 0.119719 + 0.00327136i
\(287\) −430.592 + 1183.04i −0.00522760 + 0.0143627i
\(288\) −68256.7 + 2590.90i −0.822925 + 0.0312367i
\(289\) −30161.8 25308.8i −0.361128 0.303023i
\(290\) 47499.7 + 59855.0i 0.564800 + 0.711712i
\(291\) 118176. + 20837.6i 1.39554 + 0.246072i
\(292\) 8900.35 13637.2i 0.104386 0.159941i
\(293\) 12114.3 + 20982.5i 0.141111 + 0.244412i 0.927915 0.372791i \(-0.121599\pi\)
−0.786804 + 0.617203i \(0.788266\pi\)
\(294\) −110721. + 36906.4i −1.28095 + 0.426980i
\(295\) 16111.2 + 44265.1i 0.185133 + 0.508648i
\(296\) 143299. 67750.1i 1.63553 0.773261i
\(297\) −4484.84 + 7767.98i −0.0508434 + 0.0880633i
\(298\) 24131.6 + 4938.26i 0.271741 + 0.0556085i
\(299\) 5574.56 + 6643.50i 0.0623546 + 0.0743113i
\(300\) 4406.39 4703.75i 0.0489598 0.0522639i
\(301\) −158.477 898.768i −0.00174918 0.00992007i
\(302\) −45233.5 17877.5i −0.495959 0.196016i
\(303\) 62365.6i 0.679297i
\(304\) −26443.9 + 88551.9i −0.286140 + 0.958188i
\(305\) −34267.4 −0.368367
\(306\) −20606.3 + 52138.0i −0.220068 + 0.556816i
\(307\) −62778.6 + 11069.6i −0.666093 + 0.117450i −0.496463 0.868058i \(-0.665368\pi\)
−0.169630 + 0.985508i \(0.554257\pi\)
\(308\) 294.460 + 275.845i 0.00310403 + 0.00290779i
\(309\) −90969.4 + 76332.4i −0.952748 + 0.799451i
\(310\) −21789.1 + 106476.i −0.226734 + 1.10797i
\(311\) −127849. 73813.7i −1.32183 0.763161i −0.337813 0.941213i \(-0.609687\pi\)
−0.984021 + 0.178052i \(0.943020\pi\)
\(312\) −15770.3 33355.9i −0.162006 0.342660i
\(313\) 76665.4 27903.9i 0.782548 0.284824i 0.0803130 0.996770i \(-0.474408\pi\)
0.702235 + 0.711946i \(0.252186\pi\)
\(314\) 54330.8 + 162994.i 0.551045 + 1.65315i
\(315\) 723.867 417.925i 0.00729521 0.00421189i
\(316\) −60440.9 39446.8i −0.605281 0.395037i
\(317\) 16949.9 96127.8i 0.168674 0.956600i −0.776520 0.630092i \(-0.783017\pi\)
0.945195 0.326508i \(-0.105872\pi\)
\(318\) 62664.0 49728.8i 0.619675 0.491761i
\(319\) −24711.8 + 29450.4i −0.242842 + 0.289407i
\(320\) −1116.07 105074.i −0.0108992 1.02612i
\(321\) −140596. 51172.8i −1.36447 0.496625i
\(322\) −9.75697 + 357.066i −9.41029e−5 + 0.00344379i
\(323\) 57792.4 + 49126.2i 0.553944 + 0.470878i
\(324\) 120053. + 6565.91i 1.14363 + 0.0625468i
\(325\) 1477.44 + 537.746i 0.0139876 + 0.00509108i
\(326\) 18898.2 + 127443.i 0.177822 + 1.19917i
\(327\) −131685. + 156936.i −1.23152 + 1.46767i
\(328\) 95334.9 + 134625.i 0.886144 + 1.25135i
\(329\) 214.595 1217.03i 0.00198257 0.0112437i
\(330\) 54862.5 + 33705.7i 0.503787 + 0.309511i
\(331\) −145729. + 84136.5i −1.33012 + 0.767942i −0.985317 0.170734i \(-0.945386\pi\)
−0.344798 + 0.938677i \(0.612053\pi\)
\(332\) −38471.1 126866.i −0.349027 1.15098i
\(333\) 155244. 56504.0i 1.39999 0.509555i
\(334\) −77031.7 142261.i −0.690520 1.27524i
\(335\) −77367.2 44668.0i −0.689393 0.398021i
\(336\) 425.524 1458.87i 0.00376917 0.0129222i
\(337\) 149307. 125283.i 1.31468 1.10314i 0.327272 0.944930i \(-0.393871\pi\)
0.987405 0.158215i \(-0.0505739\pi\)
\(338\) −69826.2 + 78743.3i −0.611202 + 0.689256i
\(339\) 254145. 44812.6i 2.21148 0.389943i
\(340\) −79312.1 33879.3i −0.686090 0.293074i
\(341\) −54680.7 −0.470246
\(342\) −35975.7 + 89351.4i −0.307580 + 0.763922i
\(343\) 2345.36i 0.0199352i
\(344\) −108645. 49961.4i −0.918108 0.422199i
\(345\) 9898.51 + 56137.3i 0.0831633 + 0.471643i
\(346\) 55355.7 62424.9i 0.462392 0.521442i
\(347\) −104955. 125080.i −0.871651 1.03879i −0.998899 0.0469221i \(-0.985059\pi\)
0.127248 0.991871i \(-0.459386\pi\)
\(348\) 141011. + 32893.5i 1.16438 + 0.271613i
\(349\) 25319.6 43854.9i 0.207877 0.360054i −0.743169 0.669104i \(-0.766678\pi\)
0.951046 + 0.309051i \(0.100011\pi\)
\(350\) 30.8350 + 56.9455i 0.000251714 + 0.000464861i
\(351\) 2818.62 + 7744.09i 0.0228782 + 0.0628574i
\(352\) 51679.3 11148.7i 0.417091 0.0899787i
\(353\) 21316.5 + 36921.3i 0.171067 + 0.296297i 0.938793 0.344481i \(-0.111945\pi\)
−0.767726 + 0.640778i \(0.778612\pi\)
\(354\) 76056.2 + 46726.5i 0.606915 + 0.372869i
\(355\) 200377. + 35331.9i 1.58998 + 0.280356i
\(356\) 20705.4 15528.8i 0.163374 0.122529i
\(357\) −955.463 801.729i −0.00749683 0.00629059i
\(358\) 9172.04 + 61853.2i 0.0715648 + 0.482610i
\(359\) −42717.6 + 117366.i −0.331450 + 0.910652i 0.656285 + 0.754513i \(0.272127\pi\)
−0.987735 + 0.156139i \(0.950095\pi\)
\(360\) 8965.87 109154.i 0.0691811 0.842236i
\(361\) 98753.2 + 85037.5i 0.757769 + 0.652523i
\(362\) 3139.17 114881.i 0.0239550 0.876659i
\(363\) 49778.4 136765.i 0.377770 1.03791i
\(364\) 368.046 44.3398i 0.00277779 0.000334650i
\(365\) 20002.0 + 16783.7i 0.150137 + 0.125980i
\(366\) −50864.5 + 40365.0i −0.379710 + 0.301330i
\(367\) −32624.1 5752.50i −0.242218 0.0427095i 0.0512212 0.998687i \(-0.483689\pi\)
−0.293439 + 0.955978i \(0.594800\pi\)
\(368\) 37739.4 + 27682.8i 0.278676 + 0.204416i
\(369\) 85967.4 + 148900.i 0.631366 + 1.09356i
\(370\) 80368.6 + 241108.i 0.587060 + 1.76120i
\(371\) 274.906 + 755.298i 0.00199727 + 0.00548745i
\(372\) 93080.2 + 183713.i 0.672623 + 1.32756i
\(373\) 116636. 202020.i 0.838331 1.45203i −0.0529581 0.998597i \(-0.516865\pi\)
0.891289 0.453435i \(-0.149802\pi\)
\(374\) 8699.35 42510.8i 0.0621933 0.303918i
\(375\) −118615. 141360.i −0.843487 1.00523i
\(376\) −115106. 113890.i −0.814187 0.805585i
\(377\) 6133.59 + 34785.3i 0.0431551 + 0.244745i
\(378\) −124.762 + 315.671i −0.000873167 + 0.00220928i
\(379\) 154366.i 1.07466i 0.843371 + 0.537332i \(0.180568\pi\)
−0.843371 + 0.537332i \(0.819432\pi\)
\(380\) −135893. 59078.2i −0.941088 0.409129i
\(381\) 342968. 2.36267
\(382\) −195262. 77172.9i −1.33811 0.528857i
\(383\) 90667.3 15987.1i 0.618092 0.108986i 0.144170 0.989553i \(-0.453949\pi\)
0.473922 + 0.880567i \(0.342838\pi\)
\(384\) −125428. 154651.i −0.850613 1.04880i
\(385\) −495.585 + 415.846i −0.00334347 + 0.00280550i
\(386\) −202707. 41481.6i −1.36049 0.278408i
\(387\) −107938. 62318.2i −0.720699 0.416096i
\(388\) 71400.3 + 140923.i 0.474282 + 0.936094i
\(389\) −102779. + 37408.5i −0.679213 + 0.247213i −0.658509 0.752572i \(-0.728813\pi\)
−0.0207032 + 0.999786i \(0.506591\pi\)
\(390\) 56123.1 18707.5i 0.368988 0.122995i
\(391\) 33267.9 19207.2i 0.217606 0.125635i
\(392\) −126328. 87459.6i −0.822105 0.569162i
\(393\) −9657.16 + 54768.5i −0.0625265 + 0.354606i
\(394\) −133059. 167670.i −0.857141 1.08010i
\(395\) 74386.2 88650.0i 0.476758 0.568178i
\(396\) 54707.1 6590.76i 0.348862 0.0420286i
\(397\) 53605.7 + 19510.9i 0.340118 + 0.123793i 0.506432 0.862280i \(-0.330964\pi\)
−0.166314 + 0.986073i \(0.553186\pi\)
\(398\) −77823.5 2126.56i −0.491298 0.0134249i
\(399\) −1632.77 1387.93i −0.0102560 0.00871808i
\(400\) 8434.62 + 925.374i 0.0527164 + 0.00578359i
\(401\) −264880. 96408.4i −1.64725 0.599551i −0.658968 0.752171i \(-0.729007\pi\)
−0.988285 + 0.152620i \(0.951229\pi\)
\(402\) −167456. + 24831.5i −1.03621 + 0.153656i
\(403\) −32293.0 + 38485.3i −0.198838 + 0.236966i
\(404\) −65684.0 + 49262.3i −0.402436 + 0.301823i
\(405\) −33476.0 + 189852.i −0.204091 + 1.15746i
\(406\) −761.557 + 1239.58i −0.00462009 + 0.00752007i
\(407\) −110737. + 63934.3i −0.668507 + 0.385962i
\(408\) −157634. + 43136.5i −0.946956 + 0.259134i
\(409\) 147662. 53744.5i 0.882717 0.321283i 0.139411 0.990235i \(-0.455479\pi\)
0.743306 + 0.668952i \(0.233257\pi\)
\(410\) −232591. + 125944.i −1.38365 + 0.749220i
\(411\) 211551. + 122139.i 1.25237 + 0.723054i
\(412\) −152250. 35515.1i −0.896940 0.209228i
\(413\) −687.033 + 576.489i −0.00402789 + 0.00337980i
\(414\) 36498.7 + 32365.5i 0.212950 + 0.188835i
\(415\) 209334. 36911.2i 1.21547 0.214320i
\(416\) 22673.8 42957.1i 0.131020 0.248226i
\(417\) −75753.9 −0.435645
\(418\) 15412.9 72941.8i 0.0882127 0.417469i
\(419\) 266837.i 1.51991i −0.649976 0.759955i \(-0.725221\pi\)
0.649976 0.759955i \(-0.274779\pi\)
\(420\) 2240.75 + 957.168i 0.0127026 + 0.00542612i
\(421\) −4997.58 28342.7i −0.0281965 0.159910i 0.967458 0.253030i \(-0.0814272\pi\)
−0.995655 + 0.0931198i \(0.970316\pi\)
\(422\) −45923.8 40723.3i −0.257877 0.228674i
\(423\) −108484. 129286.i −0.606297 0.722557i
\(424\) 101873. + 26717.7i 0.566666 + 0.148617i
\(425\) 3482.15 6031.25i 0.0192783 0.0333910i
\(426\) 339047. 183588.i 1.86827 1.01164i
\(427\) −223.142 613.077i −0.00122384 0.00336247i
\(428\) −57160.6 188498.i −0.312039 1.02901i
\(429\) 14882.1 + 25776.5i 0.0808629 + 0.140059i
\(430\) 100369. 163369.i 0.542828 0.883555i
\(431\) −68801.0 12131.5i −0.370374 0.0653069i −0.0146366 0.999893i \(-0.504659\pi\)
−0.355737 + 0.934586i \(0.615770\pi\)
\(432\) 24702.3 + 36984.9i 0.132364 + 0.198179i
\(433\) −216333. 181525.i −1.15384 0.968190i −0.154042 0.988064i \(-0.549229\pi\)
−0.999802 + 0.0198742i \(0.993673\pi\)
\(434\) −2046.85 + 303.521i −0.0108669 + 0.00161142i
\(435\) −79405.9 + 218166.i −0.419637 + 1.15294i
\(436\) −269304. 14728.7i −1.41667 0.0774802i
\(437\) 57367.9 32634.5i 0.300405 0.170889i
\(438\) 49460.1 + 1351.52i 0.257814 + 0.00704487i
\(439\) 99825.4 274268.i 0.517979 1.42314i −0.354764 0.934956i \(-0.615439\pi\)
0.872743 0.488180i \(-0.162339\pi\)
\(440\) 7836.44 + 84405.7i 0.0404775 + 0.435980i
\(441\) −122676. 102938.i −0.630789 0.529295i
\(442\) −24782.3 31228.6i −0.126852 0.159848i
\(443\) 73760.8 + 13006.0i 0.375853 + 0.0662730i 0.358384 0.933574i \(-0.383328\pi\)
0.0174693 + 0.999847i \(0.494439\pi\)
\(444\) 403306. + 263218.i 2.04583 + 1.33521i
\(445\) 20749.2 + 35938.7i 0.104781 + 0.181486i
\(446\) 251496. 83831.2i 1.26433 0.421440i
\(447\) 25596.7 + 70326.4i 0.128106 + 0.351968i
\(448\) 1872.61 704.189i 0.00933023 0.00350859i
\(449\) −87468.1 + 151499.i −0.433867 + 0.751480i −0.997202 0.0747483i \(-0.976185\pi\)
0.563335 + 0.826228i \(0.309518\pi\)
\(450\) 8664.30 + 1773.05i 0.0427867 + 0.00875579i
\(451\) −85539.6 101942.i −0.420547 0.501188i
\(452\) 247945. + 232271.i 1.21361 + 1.13689i
\(453\) −25661.7 145535.i −0.125051 0.709202i
\(454\) −99348.6 39265.2i −0.482003 0.190500i
\(455\) 594.391i 0.00287111i
\(456\) −271302. + 72381.8i −1.30474 + 0.348097i
\(457\) 90254.7 0.432153 0.216077 0.976376i \(-0.430674\pi\)
0.216077 + 0.976376i \(0.430674\pi\)
\(458\) 13479.3 34105.1i 0.0642591 0.162588i
\(459\) 35949.1 6338.79i 0.170633 0.0300871i
\(460\) −51305.5 + 54767.8i −0.242464 + 0.258827i
\(461\) 29630.5 24863.0i 0.139424 0.116991i −0.570409 0.821361i \(-0.693215\pi\)
0.709832 + 0.704371i \(0.248771\pi\)
\(462\) −245.776 + 1201.03i −0.00115148 + 0.00562690i
\(463\) 35970.8 + 20767.7i 0.167798 + 0.0968785i 0.581547 0.813513i \(-0.302448\pi\)
−0.413749 + 0.910391i \(0.635781\pi\)
\(464\) 76740.7 + 174497.i 0.356443 + 0.810498i
\(465\) −310302. + 112941.i −1.43509 + 0.522329i
\(466\) 37232.4 + 111698.i 0.171455 + 0.514369i
\(467\) −111174. + 64186.2i −0.509763 + 0.294312i −0.732736 0.680513i \(-0.761757\pi\)
0.222973 + 0.974825i \(0.428424\pi\)
\(468\) 27669.9 42396.3i 0.126333 0.193569i
\(469\) 295.355 1675.04i 0.00134276 0.00761518i
\(470\) 203376. 161394.i 0.920668 0.730622i
\(471\) −335549. + 399891.i −1.51256 + 1.80260i
\(472\) 10863.7 + 117012.i 0.0487634 + 0.525227i
\(473\) 90649.9 + 32993.9i 0.405177 + 0.147472i
\(474\) 5989.98 219209.i 0.0266605 0.975669i
\(475\) 6048.83 10324.0i 0.0268092 0.0457573i
\(476\) 89.6716 1639.59i 0.000395768 0.00723636i
\(477\) 103150. + 37543.4i 0.453347 + 0.165005i
\(478\) 24919.4 + 168049.i 0.109064 + 0.735494i
\(479\) −136527. + 162707.i −0.595043 + 0.709145i −0.976567 0.215214i \(-0.930955\pi\)
0.381524 + 0.924359i \(0.375399\pi\)
\(480\) 270242. 170008.i 1.17293 0.737882i
\(481\) −20400.5 + 115697.i −0.0881762 + 0.500072i
\(482\) 339587. + 208631.i 1.46169 + 0.898018i
\(483\) −939.894 + 542.648i −0.00402888 + 0.00232608i
\(484\) 183362. 55603.0i 0.782741 0.237360i
\(485\) −238027. + 86634.8i −1.01191 + 0.368306i
\(486\) 147142. + 271739.i 0.622966 + 1.15048i
\(487\) 66741.6 + 38533.3i 0.281409 + 0.162472i 0.634061 0.773283i \(-0.281387\pi\)
−0.352652 + 0.935755i \(0.614720\pi\)
\(488\) −82690.4 21686.8i −0.347228 0.0910660i
\(489\) −299869. + 251620.i −1.25405 + 1.05227i
\(490\) 163453. 184327.i 0.680770 0.767708i
\(491\) 50166.3 8845.67i 0.208089 0.0366917i −0.0686319 0.997642i \(-0.521863\pi\)
0.276721 + 0.960950i \(0.410752\pi\)
\(492\) −196890. + 460923.i −0.813380 + 1.90413i
\(493\) 156457. 0.643727
\(494\) −42235.4 53925.5i −0.173070 0.220973i
\(495\) 88351.4i 0.360581i
\(496\) −119965. + 243147.i −0.487630 + 0.988339i
\(497\) 672.690 + 3815.01i 0.00272334 + 0.0154448i
\(498\) 267244. 301372.i 1.07758 1.21519i
\(499\) 49072.6 + 58482.4i 0.197078 + 0.234868i 0.855529 0.517756i \(-0.173232\pi\)
−0.658451 + 0.752624i \(0.728788\pi\)
\(500\) 55188.1 236587.i 0.220753 0.946347i
\(501\) 245768. 425683.i 0.979153 1.69594i
\(502\) 32767.7 + 60514.9i 0.130029 + 0.240135i
\(503\) −123360. 338930.i −0.487573 1.33959i −0.902872 0.429910i \(-0.858545\pi\)
0.415299 0.909685i \(-0.363677\pi\)
\(504\) 2011.25 550.378i 0.00791782 0.00216671i
\(505\) −65823.1 114009.i −0.258104 0.447050i
\(506\) −32170.5 19764.5i −0.125648 0.0771944i
\(507\) −314909. 55526.9i −1.22509 0.216017i
\(508\) 270909. + 361217.i 1.04977 + 1.39972i
\(509\) −81571.4 68446.5i −0.314849 0.264190i 0.471644 0.881789i \(-0.343661\pi\)
−0.786493 + 0.617599i \(0.788105\pi\)
\(510\) −38437.2 259208.i −0.147779 0.996571i
\(511\) −170.028 + 467.148i −0.000651146 + 0.00178901i
\(512\) 63805.2 254260.i 0.243398 0.969927i
\(513\) 61833.2 10496.0i 0.234956 0.0398830i
\(514\) 9519.62 348380.i 0.0360324 1.31864i
\(515\) 85734.6 235554.i 0.323252 0.888129i
\(516\) −43457.8 360724.i −0.163218 1.35480i
\(517\) 100067. + 83965.8i 0.374376 + 0.314139i
\(518\) −3790.32 + 3007.92i −0.0141259 + 0.0112100i
\(519\) 249648. + 44019.8i 0.926817 + 0.163423i
\(520\) 64034.4 + 44332.4i 0.236813 + 0.163951i
\(521\) −91851.2 159091.i −0.338384 0.586098i 0.645745 0.763553i \(-0.276547\pi\)
−0.984129 + 0.177455i \(0.943213\pi\)
\(522\) 62828.4 + 188487.i 0.230577 + 0.691737i
\(523\) 54301.2 + 149191.i 0.198521 + 0.545432i 0.998509 0.0545839i \(-0.0173832\pi\)
−0.799988 + 0.600016i \(0.795161\pi\)
\(524\) −65310.8 + 33090.4i −0.237861 + 0.120515i
\(525\) −98.3785 + 170.397i −0.000356929 + 0.000618219i
\(526\) −4303.35 + 21029.0i −0.0155537 + 0.0760060i
\(527\) 143041. + 170470.i 0.515038 + 0.613798i
\(528\) 111057. + 116056.i 0.398362 + 0.416294i
\(529\) 42789.5 + 242672.i 0.152907 + 0.867177i
\(530\) −62068.8 + 157046.i −0.220964 + 0.559082i
\(531\) 122482.i 0.434394i
\(532\) 172.061 2815.96i 0.000607939 0.00994956i
\(533\) −122266. −0.430381
\(534\) 73132.7 + 28904.0i 0.256466 + 0.101362i
\(535\) 311030. 54843.0i 1.08666 0.191608i
\(536\) −158425. 156751.i −0.551436 0.545609i
\(537\) −145538. + 122121.i −0.504694 + 0.423489i
\(538\) −199744. 40875.3i −0.690096 0.141220i
\(539\) 107343. + 61974.6i 0.369485 + 0.213322i
\(540\) −63613.2 + 32230.3i −0.218152 + 0.110529i
\(541\) −426400. + 155197.i −1.45688 + 0.530260i −0.944503 0.328502i \(-0.893456\pi\)
−0.512374 + 0.858762i \(0.671234\pi\)
\(542\) −238176. + 79391.0i −0.810772 + 0.270254i
\(543\) 302397. 174589.i 1.02560 0.592131i
\(544\) −169946. 131948.i −0.574267 0.445868i
\(545\) 75093.6 425877.i 0.252819 1.43381i
\(546\) 700.157 + 882.279i 0.00234861 + 0.00295951i
\(547\) −217934. + 259723.i −0.728366 + 0.868032i −0.995415 0.0956506i \(-0.969507\pi\)
0.267049 + 0.963683i \(0.413951\pi\)
\(548\) 38465.3 + 319284.i 0.128088 + 1.06320i
\(549\) −83726.7 30474.0i −0.277792 0.101108i
\(550\) −6842.52 186.974i −0.0226199 0.000618097i
\(551\) 268807. + 1717.44i 0.885396 + 0.00565691i
\(552\) −11641.6 + 141729.i −0.0382062 + 0.465137i
\(553\) 2070.42 + 753.572i 0.00677031 + 0.00246419i
\(554\) −29756.0 + 4412.43i −0.0969517 + 0.0143767i
\(555\) −496359. + 591537.i −1.61142 + 1.92042i
\(556\) −59837.7 79784.7i −0.193564 0.258089i
\(557\) −35671.9 + 202306.i −0.114978 + 0.652075i 0.871783 + 0.489893i \(0.162964\pi\)
−0.986761 + 0.162182i \(0.948147\pi\)
\(558\) −147927. + 240780.i −0.475095 + 0.773307i
\(559\) 76757.3 44315.8i 0.245638 0.141819i
\(560\) 761.858 + 3116.04i 0.00242939 + 0.00993634i
\(561\) 123889. 45091.7i 0.393646 0.143275i
\(562\) −530702. + 287366.i −1.68027 + 0.909835i
\(563\) 324372. + 187276.i 1.02335 + 0.590834i 0.915074 0.403286i \(-0.132132\pi\)
0.108281 + 0.994120i \(0.465465\pi\)
\(564\) 111766. 479129.i 0.351358 1.50624i
\(565\) −417299. + 350156.i −1.30723 + 1.09689i
\(566\) 328383. + 291196.i 1.02506 + 0.908975i
\(567\) −3614.63 + 637.356i −0.0112434 + 0.00198251i
\(568\) 461168. + 212072.i 1.42943 + 0.657334i
\(569\) 114671. 0.354184 0.177092 0.984194i \(-0.443331\pi\)
0.177092 + 0.984194i \(0.443331\pi\)
\(570\) −63193.1 445764.i −0.194500 1.37200i
\(571\) 254692.i 0.781165i −0.920568 0.390582i \(-0.872274\pi\)
0.920568 0.390582i \(-0.127726\pi\)
\(572\) −15392.8 + 36034.7i −0.0470462 + 0.110136i
\(573\) −110775. 628239.i −0.337392 1.91344i
\(574\) −3767.84 3341.16i −0.0114359 0.0101408i
\(575\) −3895.22 4642.15i −0.0117814 0.0140405i
\(576\) 90715.7 257724.i 0.273425 0.776802i
\(577\) −60388.8 + 104597.i −0.181387 + 0.314171i −0.942353 0.334621i \(-0.891392\pi\)
0.760966 + 0.648791i \(0.224725\pi\)
\(578\) 138494. 74991.9i 0.414548 0.224470i
\(579\) −215014. 590746.i −0.641371 1.76215i
\(580\) −292497. + 88697.3i −0.869490 + 0.263666i
\(581\) 2023.52 + 3504.83i 0.00599452 + 0.0103828i
\(582\) −251263. + 408978.i −0.741792 + 1.20741i
\(583\) −83669.9 14753.3i −0.246168 0.0434061i
\(584\) 37644.9 + 53159.3i 0.110377 + 0.155867i
\(585\) 62183.5 + 52178.1i 0.181703 + 0.152467i
\(586\) −95866.0 + 14215.7i −0.279170 + 0.0413974i
\(587\) 70942.2 194912.i 0.205887 0.565670i −0.793174 0.608995i \(-0.791573\pi\)
0.999061 + 0.0433254i \(0.0137952\pi\)
\(588\) 25494.0 466142.i 0.0737368 1.34823i
\(589\) 243885. + 294452.i 0.703000 + 0.848757i
\(590\) −188353. 5146.83i −0.541090 0.0147855i
\(591\) 222437. 611141.i 0.636842 1.74971i
\(592\) 41346.5 + 632680.i 0.117976 + 1.80526i
\(593\) 222688. + 186858.i 0.633269 + 0.531376i 0.901943 0.431855i \(-0.142141\pi\)
−0.268674 + 0.963231i \(0.586585\pi\)
\(594\) −22303.1 28104.4i −0.0632108 0.0796529i
\(595\) 2592.84 + 457.187i 0.00732388 + 0.00129140i
\(596\) −53849.7 + 82509.3i −0.151597 + 0.232279i
\(597\) −118272. 204852.i −0.331842 0.574768i
\(598\) −32909.8 + 10969.8i −0.0920285 + 0.0306758i
\(599\) 44936.2 + 123461.i 0.125240 + 0.344094i 0.986428 0.164192i \(-0.0525016\pi\)
−0.861188 + 0.508286i \(0.830279\pi\)
\(600\) 11019.5 + 23307.4i 0.0306097 + 0.0647428i
\(601\) 66117.9 114520.i 0.183050 0.317052i −0.759868 0.650078i \(-0.774736\pi\)
0.942918 + 0.333026i \(0.108070\pi\)
\(602\) 3576.42 + 731.872i 0.00986859 + 0.00201949i
\(603\) −149311. 177942.i −0.410635 0.489376i
\(604\) 133008. 141984.i 0.364590 0.389194i
\(605\) 53348.5 + 302555.i 0.145751 + 0.826596i
\(606\) −232000. 91692.4i −0.631746 0.249683i
\(607\) 256566.i 0.696339i 0.937432 + 0.348170i \(0.113197\pi\)
−0.937432 + 0.348170i \(0.886803\pi\)
\(608\) −290534. 228564.i −0.785940 0.618302i
\(609\) −4420.27 −0.0119183
\(610\) 50381.3 127475.i 0.135397 0.342581i
\(611\) 118194. 20840.7i 0.316600 0.0558252i
\(612\) −163657. 153311.i −0.436950 0.409327i
\(613\) −96509.0 + 80980.7i −0.256831 + 0.215507i −0.762107 0.647451i \(-0.775835\pi\)
0.505276 + 0.862958i \(0.331391\pi\)
\(614\) 51121.0 249811.i 0.135601 0.662637i
\(615\) −695976. 401822.i −1.84011 1.06239i
\(616\) −1459.07 + 689.833i −0.00384516 + 0.00181795i
\(617\) 538603. 196036.i 1.41481 0.514949i 0.482274 0.876021i \(-0.339811\pi\)
0.932538 + 0.361071i \(0.117589\pi\)
\(618\) −150209. 450633.i −0.393296 1.17990i
\(619\) −52604.3 + 30371.1i −0.137290 + 0.0792647i −0.567072 0.823668i \(-0.691924\pi\)
0.429782 + 0.902933i \(0.358591\pi\)
\(620\) −364056. 237601.i −0.947076 0.618109i
\(621\) 5515.62 31280.6i 0.0143025 0.0811134i
\(622\) 462556. 367074.i 1.19559 0.948797i
\(623\) −507.865 + 605.249i −0.00130849 + 0.00155940i
\(624\) 147270. 9624.28i 0.378220 0.0247172i
\(625\) 385502. + 140311.i 0.986884 + 0.359196i
\(626\) −8914.11 + 326221.i −0.0227473 + 0.832459i
\(627\) 213346. 76111.6i 0.542687 0.193605i
\(628\) −686218. 37530.4i −1.73997 0.0951620i
\(629\) 489000. + 177981.i 1.23597 + 0.449856i
\(630\) 490.420 + 3307.24i 0.00123563 + 0.00833267i
\(631\) −20024.8 + 23864.6i −0.0502931 + 0.0599370i −0.790605 0.612327i \(-0.790234\pi\)
0.740311 + 0.672264i \(0.234678\pi\)
\(632\) 235605. 166844.i 0.589861 0.417711i
\(633\) 32383.8 183657.i 0.0808202 0.458354i
\(634\) 332675. + 204385.i 0.827640 + 0.508476i
\(635\) −626970. + 361982.i −1.55489 + 0.897716i
\(636\) 92859.9 + 306223.i 0.229569 + 0.757049i
\(637\) 107013. 38949.6i 0.263729 0.0959895i
\(638\) −73223.0 135227.i −0.179890 0.332217i
\(639\) 458167. + 264523.i 1.12208 + 0.647831i
\(640\) 392517. + 150333.i 0.958294 + 0.367023i
\(641\) 310116. 260218.i 0.754759 0.633318i −0.181998 0.983299i \(-0.558256\pi\)
0.936757 + 0.349981i \(0.113812\pi\)
\(642\) 397073. 447781.i 0.963385 1.08641i
\(643\) −523640. + 92331.8i −1.26652 + 0.223321i −0.766245 0.642548i \(-0.777877\pi\)
−0.500271 + 0.865869i \(0.666766\pi\)
\(644\) −1313.94 561.269i −0.00316813 0.00135332i
\(645\) 582566. 1.40032
\(646\) −267718. + 142760.i −0.641524 + 0.342092i
\(647\) 284281.i 0.679108i −0.940587 0.339554i \(-0.889724\pi\)
0.940587 0.339554i \(-0.110276\pi\)
\(648\) −200933. + 436945.i −0.478521 + 1.04058i
\(649\) −16461.9 93359.9i −0.0390832 0.221652i
\(650\) −4172.61 + 4705.47i −0.00987601 + 0.0111372i
\(651\) −4041.23 4816.15i −0.00953568 0.0113642i
\(652\) −501873. 117071.i −1.18059 0.275394i
\(653\) 54323.8 94091.6i 0.127398 0.220660i −0.795270 0.606256i \(-0.792671\pi\)
0.922668 + 0.385596i \(0.126004\pi\)
\(654\) −390194. 720603.i −0.912272 1.68477i
\(655\) −40150.8 110313.i −0.0935862 0.257126i
\(656\) −640970. + 156714.i −1.48946 + 0.364168i
\(657\) 33945.9 + 58796.0i 0.0786424 + 0.136213i
\(658\) 4211.84 + 2587.62i 0.00972793 + 0.00597653i
\(659\) −128912. 22730.6i −0.296839 0.0523408i 0.0232451 0.999730i \(-0.492600\pi\)
−0.320084 + 0.947389i \(0.603711\pi\)
\(660\) −206046. + 154533.i −0.473017 + 0.354758i
\(661\) −525807. 441204.i −1.20344 1.00980i −0.999525 0.0308139i \(-0.990190\pi\)
−0.203912 0.978989i \(-0.565365\pi\)
\(662\) −98731.3 665812.i −0.225288 1.51927i
\(663\) 41429.0 113825.i 0.0942491 0.258947i
\(664\) 528503. + 43411.1i 1.19870 + 0.0984611i
\(665\) 4449.70 + 813.948i 0.0100621 + 0.00184057i
\(666\) −18050.6 + 660580.i −0.0406952 + 1.48928i
\(667\) 46562.4 127929.i 0.104661 0.287553i
\(668\) 642465. 77400.0i 1.43978 0.173456i
\(669\) 617023. + 517744.i 1.37863 + 1.15681i
\(670\) 279913. 222133.i 0.623554 0.494839i
\(671\) 67915.0 + 11975.2i 0.150841 + 0.0265974i
\(672\) 4801.37 + 3727.84i 0.0106323 + 0.00825503i
\(673\) −277598. 480813.i −0.612894 1.06156i −0.990750 0.135700i \(-0.956672\pi\)
0.377856 0.925865i \(-0.376662\pi\)
\(674\) 246536. + 739617.i 0.542701 + 1.62812i
\(675\) −1969.51 5411.18i −0.00432265 0.0118764i
\(676\) −190264. 375525.i −0.416354 0.821761i
\(677\) 96809.9 167680.i 0.211224 0.365850i −0.740874 0.671644i \(-0.765589\pi\)
0.952098 + 0.305794i \(0.0989219\pi\)
\(678\) −206952. + 1.01130e6i −0.450204 + 2.20000i
\(679\) −3099.96 3694.39i −0.00672383 0.00801315i
\(680\) 242639. 245230.i 0.524738 0.530342i
\(681\) −56362.0 319645.i −0.121533 0.689245i
\(682\) 80393.8 203412.i 0.172844 0.437329i
\(683\) 728760.i 1.56222i 0.624392 + 0.781111i \(0.285347\pi\)
−0.624392 + 0.781111i \(0.714653\pi\)
\(684\) −279494. 265198.i −0.597393 0.566836i
\(685\) −515641. −1.09892
\(686\) 8724.74 + 3448.25i 0.0185398 + 0.00732741i
\(687\) 109730. 19348.4i 0.232495 0.0409951i
\(688\) 345591. 330705.i 0.730106 0.698656i
\(689\) −59797.0 + 50175.6i −0.125962 + 0.105695i
\(690\) −223384. 45712.9i −0.469195 0.0960153i
\(691\) −544130. 314153.i −1.13958 0.657939i −0.193256 0.981148i \(-0.561905\pi\)
−0.946327 + 0.323209i \(0.895238\pi\)
\(692\) 150834. + 297703.i 0.314984 + 0.621686i
\(693\) −1580.69 + 575.325i −0.00329140 + 0.00119797i
\(694\) 619606. 206533.i 1.28646 0.428816i
\(695\) 138484. 79953.6i 0.286701 0.165527i
\(696\) −329685. + 476201.i −0.680582 + 0.983041i
\(697\) −94043.6 + 533347.i −0.193581 + 1.09785i
\(698\) 125914. + 158666.i 0.258442 + 0.325667i
\(699\) −229948. + 274042.i −0.470626 + 0.560870i
\(700\) −257.172 + 30.9824i −0.000524841 + 6.32294e-5i
\(701\) −247163. 89959.9i −0.502976 0.183068i 0.0780562 0.996949i \(-0.475129\pi\)
−0.581032 + 0.813881i \(0.697351\pi\)
\(702\) −32952.1 900.428i −0.0668665 0.00182715i
\(703\) 838190. + 311155.i 1.69602 + 0.629602i
\(704\) −34507.8 + 208638.i −0.0696261 + 0.420968i
\(705\) 741284. + 269805.i 1.49144 + 0.542841i
\(706\) −168688. + 25014.2i −0.338434 + 0.0501854i
\(707\) 1611.11 1920.04i 0.00322318 0.00384124i
\(708\) −285643. + 214230.i −0.569846 + 0.427379i
\(709\) −135304. + 767347.i −0.269165 + 1.52651i 0.487743 + 0.872987i \(0.337820\pi\)
−0.756908 + 0.653522i \(0.773291\pi\)
\(710\) −426037. + 693455.i −0.845144 + 1.37563i
\(711\) 260587. 150450.i 0.515482 0.297614i
\(712\) 27325.3 + 99855.1i 0.0539020 + 0.196975i
\(713\) 181956. 66226.6i 0.357921 0.130273i
\(714\) 4387.19 2375.59i 0.00860578 0.00465988i
\(715\) −54411.1 31414.3i −0.106433 0.0614490i
\(716\) −243579. 56819.2i −0.475132 0.110833i
\(717\) −395412. + 331790.i −0.769150 + 0.645394i
\(718\) −373795. 331466.i −0.725078 0.642968i
\(719\) 537308. 94742.0i 1.03936 0.183267i 0.372177 0.928162i \(-0.378611\pi\)
0.667182 + 0.744894i \(0.267500\pi\)
\(720\) 392870. + 193835.i 0.757851 + 0.373911i
\(721\) 4772.58 0.00918084
\(722\) −461530. + 242336.i −0.885372 + 0.464883i
\(723\) 1.21095e6i 2.31659i
\(724\) 422741. + 180580.i 0.806488 + 0.344503i
\(725\) −4285.84 24306.2i −0.00815380 0.0462425i
\(726\) 435579. + 386253.i 0.826407 + 0.732822i
\(727\) −494236. 589007.i −0.935116 1.11443i −0.993235 0.116118i \(-0.962955\pi\)
0.0581194 0.998310i \(-0.481490\pi\)
\(728\) −376.172 + 1434.32i −0.000709781 + 0.00270635i
\(729\) −165115. + 285988.i −0.310693 + 0.538137i
\(730\) −91843.2 + 49731.4i −0.172346 + 0.0933223i
\(731\) −134274. 368915.i −0.251280 0.690385i
\(732\) −75374.5 248562.i −0.140670 0.463887i
\(733\) −382604. 662689.i −0.712101 1.23339i −0.964067 0.265659i \(-0.914411\pi\)
0.251967 0.967736i \(-0.418923\pi\)
\(734\) 69364.6 112904.i 0.128750 0.209564i
\(735\) 737155. + 129980.i 1.36453 + 0.240604i
\(736\) −158466. + 99690.1i −0.292537 + 0.184033i
\(737\) 137725. + 115565.i 0.253559 + 0.212761i
\(738\) −680300. + 100880.i −1.24907 + 0.185221i
\(739\) 128614. 353365.i 0.235505 0.647046i −0.764492 0.644634i \(-0.777010\pi\)
0.999997 0.00241230i \(-0.000767858\pi\)
\(740\) −1.01508e6 55516.6i −1.85370 0.101382i
\(741\) 72428.1 195107.i 0.131908 0.355333i
\(742\) −3213.89 87.8207i −0.00583745 0.000159510i
\(743\) −325119. + 893258.i −0.588932 + 1.61808i 0.183529 + 0.983014i \(0.441248\pi\)
−0.772461 + 0.635062i \(0.780974\pi\)
\(744\) −820263. + 76155.3i −1.48186 + 0.137580i
\(745\) −121018. 101546.i −0.218041 0.182958i
\(746\) 580030. + 730904.i 1.04225 + 1.31336i
\(747\) 544298. + 95974.5i 0.975430 + 0.171995i
\(748\) 145350. + 94862.7i 0.259784 + 0.169548i
\(749\) 3006.55 + 5207.50i 0.00535926 + 0.00928252i
\(750\) 700253. 233415.i 1.24489 0.414960i
\(751\) 96569.8 + 265323.i 0.171223 + 0.470431i 0.995389 0.0959168i \(-0.0305783\pi\)
−0.824167 + 0.566347i \(0.808356\pi\)
\(752\) 592906. 260750.i 1.04846 0.461092i
\(753\) −104545. + 181077.i −0.184380 + 0.319355i
\(754\) −138419. 28325.9i −0.243474 0.0498242i
\(755\) 200514. + 238964.i 0.351764 + 0.419216i
\(756\) −990.866 928.225i −0.00173369 0.00162409i
\(757\) −26026.6 147604.i −0.0454178 0.257577i 0.953641 0.300945i \(-0.0973022\pi\)
−0.999059 + 0.0433684i \(0.986191\pi\)
\(758\) −574241. 226955.i −0.999437 0.395004i
\(759\) 114718.i 0.199136i
\(760\) 419567. 418663.i 0.726397 0.724832i
\(761\) 60226.9 0.103997 0.0519985 0.998647i \(-0.483441\pi\)
0.0519985 + 0.998647i \(0.483441\pi\)
\(762\) −504245. + 1.27584e6i −0.868424 + 2.19728i
\(763\) 8108.35 1429.72i 0.0139278 0.00245585i
\(764\) 574166. 612913.i 0.983673 1.05006i
\(765\) 275440. 231121.i 0.470656 0.394927i
\(766\) −73830.9 + 360787.i −0.125829 + 0.614885i
\(767\) −75430.5 43549.8i −0.128220 0.0740279i
\(768\) 759713. 239217.i 1.28803 0.405573i
\(769\) 8588.14 3125.83i 0.0145227 0.00528582i −0.334749 0.942307i \(-0.608651\pi\)
0.349271 + 0.937022i \(0.386429\pi\)
\(770\) −818.314 2454.97i −0.00138019 0.00414061i