Properties

Label 76.5.l.a.23.8
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 23.8
Character \(\chi\) \(=\) 76.23
Dual form 76.5.l.a.43.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.15747 - 2.45569i) q^{2} +(-8.88596 + 1.56683i) q^{3} +(3.93918 + 15.5075i) q^{4} +(-25.4406 + 21.3472i) q^{5} +(31.9048 + 16.8739i) q^{6} +(18.4296 + 10.6403i) q^{7} +(25.6438 - 58.6378i) q^{8} +(0.390232 - 0.142033i) q^{9} +O(q^{10})\) \(q+(-3.15747 - 2.45569i) q^{2} +(-8.88596 + 1.56683i) q^{3} +(3.93918 + 15.5075i) q^{4} +(-25.4406 + 21.3472i) q^{5} +(31.9048 + 16.8739i) q^{6} +(18.4296 + 10.6403i) q^{7} +(25.6438 - 58.6378i) q^{8} +(0.390232 - 0.142033i) q^{9} +(132.750 - 4.92883i) q^{10} +(14.9857 - 8.65201i) q^{11} +(-59.3011 - 131.627i) q^{12} +(4.76034 - 26.9972i) q^{13} +(-32.0615 - 78.8539i) q^{14} +(192.616 - 229.551i) q^{15} +(-224.966 + 122.174i) q^{16} +(-392.828 - 142.978i) q^{17} +(-1.58093 - 0.509825i) q^{18} +(299.424 - 201.658i) q^{19} +(-431.256 - 310.429i) q^{20} +(-180.436 - 65.6735i) q^{21} +(-68.5635 - 9.48184i) q^{22} +(390.606 - 465.506i) q^{23} +(-135.994 + 561.233i) q^{24} +(82.9906 - 470.663i) q^{25} +(-81.3274 + 73.5529i) q^{26} +(629.704 - 363.560i) q^{27} +(-92.4076 + 327.711i) q^{28} +(20.3182 - 7.39523i) q^{29} +(-1171.89 + 251.794i) q^{30} +(-457.709 - 264.259i) q^{31} +(1010.34 + 166.686i) q^{32} +(-119.606 + 100.362i) q^{33} +(889.232 + 1416.11i) q^{34} +(-696.001 + 122.724i) q^{35} +(3.73977 + 5.49203i) q^{36} +2091.69 q^{37} +(-1440.63 - 98.5630i) q^{38} +247.355i q^{39} +(599.359 + 2039.20i) q^{40} +(152.801 + 866.578i) q^{41} +(408.448 + 650.457i) q^{42} +(1531.51 + 1825.19i) q^{43} +(193.203 + 198.309i) q^{44} +(-6.89572 + 11.9437i) q^{45} +(-2376.46 + 510.613i) q^{46} +(-990.180 - 2720.50i) q^{47} +(1807.61 - 1438.12i) q^{48} +(-974.066 - 1687.13i) q^{49} +(-1417.84 + 1282.30i) q^{50} +(3714.67 + 654.997i) q^{51} +(437.412 - 32.5260i) q^{52} +(-1422.89 - 1193.94i) q^{53} +(-2881.06 - 398.430i) q^{54} +(-196.549 + 540.014i) q^{55} +(1096.53 - 807.813i) q^{56} +(-2344.71 + 2261.08i) q^{57} +(-82.3145 - 26.5451i) q^{58} +(-1213.72 + 3334.67i) q^{59} +(4318.52 + 2082.76i) q^{60} +(2082.21 + 1747.18i) q^{61} +(796.264 + 1958.38i) q^{62} +(8.70310 + 1.53459i) q^{63} +(-2780.79 - 3007.39i) q^{64} +(455.209 + 788.445i) q^{65} +(624.109 - 23.1724i) q^{66} +(-802.822 - 2205.73i) q^{67} +(669.807 - 6655.00i) q^{68} +(-2741.54 + 4748.49i) q^{69} +(2498.97 + 1321.67i) q^{70} +(-3779.58 - 4504.33i) q^{71} +(1.67853 - 26.5246i) q^{72} +(-1368.17 - 7759.27i) q^{73} +(-6604.43 - 5136.54i) q^{74} +4312.32i q^{75} +(4306.71 + 3848.95i) q^{76} +368.241 q^{77} +(607.427 - 781.015i) q^{78} +(-555.628 + 97.9723i) q^{79} +(3115.19 - 7910.55i) q^{80} +(-5051.65 + 4238.84i) q^{81} +(1645.58 - 3111.42i) q^{82} +(-7258.15 - 4190.49i) q^{83} +(307.660 - 3056.82i) q^{84} +(13045.9 - 4748.33i) q^{85} +(-353.610 - 9523.89i) q^{86} +(-168.960 + 97.5490i) q^{87} +(-123.044 - 1100.60i) q^{88} +(1340.66 - 7603.29i) q^{89} +(51.1031 - 20.7782i) q^{90} +(374.991 - 446.897i) q^{91} +(8757.51 + 4223.61i) q^{92} +(4481.24 + 1631.04i) q^{93} +(-3554.24 + 11021.4i) q^{94} +(-3312.68 + 11522.2i) q^{95} +(-9239.03 + 101.871i) q^{96} +(3759.86 + 1368.48i) q^{97} +(-1067.49 + 7719.07i) q^{98} +(4.61904 - 5.50475i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.15747 2.45569i −0.789366 0.613922i
\(3\) −8.88596 + 1.56683i −0.987329 + 0.174093i −0.643920 0.765093i \(-0.722693\pi\)
−0.343409 + 0.939186i \(0.611582\pi\)
\(4\) 3.93918 + 15.5075i 0.246199 + 0.969219i
\(5\) −25.4406 + 21.3472i −1.01762 + 0.853887i −0.989327 0.145713i \(-0.953452\pi\)
−0.0282956 + 0.999600i \(0.509008\pi\)
\(6\) 31.9048 + 16.8739i 0.886244 + 0.468720i
\(7\) 18.4296 + 10.6403i 0.376114 + 0.217150i 0.676126 0.736786i \(-0.263657\pi\)
−0.300012 + 0.953935i \(0.596991\pi\)
\(8\) 25.6438 58.6378i 0.400684 0.916216i
\(9\) 0.390232 0.142033i 0.00481768 0.00175349i
\(10\) 132.750 4.92883i 1.32750 0.0492883i
\(11\) 14.9857 8.65201i 0.123849 0.0715042i −0.436796 0.899561i \(-0.643887\pi\)
0.560645 + 0.828057i \(0.310553\pi\)
\(12\) −59.3011 131.627i −0.411813 0.914077i
\(13\) 4.76034 26.9972i 0.0281677 0.159747i −0.967479 0.252950i \(-0.918599\pi\)
0.995647 + 0.0932026i \(0.0297104\pi\)
\(14\) −32.0615 78.8539i −0.163579 0.402316i
\(15\) 192.616 229.551i 0.856073 1.02023i
\(16\) −224.966 + 122.174i −0.878772 + 0.477241i
\(17\) −392.828 142.978i −1.35927 0.494732i −0.443439 0.896305i \(-0.646242\pi\)
−0.915827 + 0.401573i \(0.868464\pi\)
\(18\) −1.58093 0.509825i −0.00487942 0.00157353i
\(19\) 299.424 201.658i 0.829430 0.558611i
\(20\) −431.256 310.429i −1.07814 0.776074i
\(21\) −180.436 65.6735i −0.409153 0.148919i
\(22\) −68.5635 9.48184i −0.141660 0.0195906i
\(23\) 390.606 465.506i 0.738386 0.879974i −0.257892 0.966174i \(-0.583028\pi\)
0.996278 + 0.0861998i \(0.0274723\pi\)
\(24\) −135.994 + 561.233i −0.236101 + 0.974363i
\(25\) 82.9906 470.663i 0.132785 0.753061i
\(26\) −81.3274 + 73.5529i −0.120307 + 0.108806i
\(27\) 629.704 363.560i 0.863791 0.498710i
\(28\) −92.4076 + 327.711i −0.117867 + 0.417999i
\(29\) 20.3182 7.39523i 0.0241596 0.00879338i −0.329912 0.944012i \(-0.607019\pi\)
0.354072 + 0.935218i \(0.384797\pi\)
\(30\) −1171.89 + 251.794i −1.30210 + 0.279771i
\(31\) −457.709 264.259i −0.476284 0.274983i 0.242582 0.970131i \(-0.422006\pi\)
−0.718867 + 0.695148i \(0.755339\pi\)
\(32\) 1010.34 + 166.686i 0.986662 + 0.162780i
\(33\) −119.606 + 100.362i −0.109831 + 0.0921594i
\(34\) 889.232 + 1416.11i 0.769232 + 1.22501i
\(35\) −696.001 + 122.724i −0.568164 + 0.100183i
\(36\) 3.73977 + 5.49203i 0.00288563 + 0.00423768i
\(37\) 2091.69 1.52789 0.763947 0.645279i \(-0.223259\pi\)
0.763947 + 0.645279i \(0.223259\pi\)
\(38\) −1440.63 98.5630i −0.997668 0.0682569i
\(39\) 247.355i 0.162627i
\(40\) 599.359 + 2039.20i 0.374599 + 1.27450i
\(41\) 152.801 + 866.578i 0.0908989 + 0.515514i 0.995927 + 0.0901619i \(0.0287385\pi\)
−0.905028 + 0.425352i \(0.860150\pi\)
\(42\) 408.448 + 650.457i 0.231547 + 0.368740i
\(43\) 1531.51 + 1825.19i 0.828293 + 0.987121i 0.999998 + 0.00197305i \(0.000628041\pi\)
−0.171705 + 0.985148i \(0.554928\pi\)
\(44\) 193.203 + 198.309i 0.0997947 + 0.102432i
\(45\) −6.89572 + 11.9437i −0.00340530 + 0.00589815i
\(46\) −2376.46 + 510.613i −1.12309 + 0.241310i
\(47\) −990.180 2720.50i −0.448248 1.23155i −0.933943 0.357423i \(-0.883656\pi\)
0.485695 0.874129i \(-0.338567\pi\)
\(48\) 1807.61 1438.12i 0.784553 0.624182i
\(49\) −974.066 1687.13i −0.405692 0.702679i
\(50\) −1417.84 + 1282.30i −0.567137 + 0.512921i
\(51\) 3714.67 + 654.997i 1.42817 + 0.251825i
\(52\) 437.412 32.5260i 0.161765 0.0120288i
\(53\) −1422.89 1193.94i −0.506545 0.425042i 0.353366 0.935485i \(-0.385037\pi\)
−0.859911 + 0.510443i \(0.829481\pi\)
\(54\) −2881.06 398.430i −0.988017 0.136636i
\(55\) −196.549 + 540.014i −0.0649749 + 0.178517i
\(56\) 1096.53 807.813i 0.349659 0.257594i
\(57\) −2344.71 + 2261.08i −0.721670 + 0.695930i
\(58\) −82.3145 26.5451i −0.0244692 0.00789092i
\(59\) −1213.72 + 3334.67i −0.348670 + 0.957964i 0.634119 + 0.773235i \(0.281363\pi\)
−0.982790 + 0.184729i \(0.940859\pi\)
\(60\) 4318.52 + 2082.76i 1.19959 + 0.578543i
\(61\) 2082.21 + 1747.18i 0.559584 + 0.469547i 0.878171 0.478347i \(-0.158764\pi\)
−0.318587 + 0.947894i \(0.603208\pi\)
\(62\) 796.264 + 1958.38i 0.207145 + 0.509464i
\(63\) 8.70310 + 1.53459i 0.00219277 + 0.000386644i
\(64\) −2780.79 3007.39i −0.678904 0.734227i
\(65\) 455.209 + 788.445i 0.107742 + 0.186614i
\(66\) 624.109 23.1724i 0.143276 0.00531965i
\(67\) −802.822 2205.73i −0.178842 0.491364i 0.817586 0.575806i \(-0.195312\pi\)
−0.996428 + 0.0844415i \(0.973089\pi\)
\(68\) 669.807 6655.00i 0.144854 1.43923i
\(69\) −2741.54 + 4748.49i −0.575833 + 0.997371i
\(70\) 2498.97 + 1321.67i 0.509994 + 0.269728i
\(71\) −3779.58 4504.33i −0.749768 0.893538i 0.247387 0.968917i \(-0.420428\pi\)
−0.997155 + 0.0753783i \(0.975984\pi\)
\(72\) 1.67853 26.5246i 0.000323791 0.00511663i
\(73\) −1368.17 7759.27i −0.256740 1.45605i −0.791566 0.611084i \(-0.790734\pi\)
0.534826 0.844962i \(-0.320377\pi\)
\(74\) −6604.43 5136.54i −1.20607 0.938009i
\(75\) 4312.32i 0.766636i
\(76\) 4306.71 + 3848.95i 0.745621 + 0.666370i
\(77\) 368.241 0.0621085
\(78\) 607.427 781.015i 0.0998401 0.128372i
\(79\) −555.628 + 97.9723i −0.0890287 + 0.0156982i −0.217985 0.975952i \(-0.569948\pi\)
0.128956 + 0.991650i \(0.458837\pi\)
\(80\) 3115.19 7910.55i 0.486748 1.23602i
\(81\) −5051.65 + 4238.84i −0.769952 + 0.646066i
\(82\) 1645.58 3111.42i 0.244733 0.462734i
\(83\) −7258.15 4190.49i −1.05358 0.608287i −0.129934 0.991523i \(-0.541477\pi\)
−0.923651 + 0.383235i \(0.874810\pi\)
\(84\) 307.660 3056.82i 0.0436027 0.433223i
\(85\) 13045.9 4748.33i 1.80566 0.657208i
\(86\) −353.610 9523.89i −0.0478110 1.28771i
\(87\) −168.960 + 97.5490i −0.0223226 + 0.0128880i
\(88\) −123.044 1100.60i −0.0158890 0.142123i
\(89\) 1340.66 7603.29i 0.169254 0.959890i −0.775314 0.631576i \(-0.782408\pi\)
0.944569 0.328314i \(-0.106480\pi\)
\(90\) 51.1031 20.7782i 0.00630903 0.00256521i
\(91\) 374.991 446.897i 0.0452833 0.0539665i
\(92\) 8757.51 + 4223.61i 1.03468 + 0.499009i
\(93\) 4481.24 + 1631.04i 0.518122 + 0.188581i
\(94\) −3554.24 + 11021.4i −0.402245 + 1.24733i
\(95\) −3312.68 + 11522.2i −0.367056 + 1.27669i
\(96\) −9239.03 + 101.871i −1.00250 + 0.0110537i
\(97\) 3759.86 + 1368.48i 0.399602 + 0.145443i 0.534001 0.845484i \(-0.320688\pi\)
−0.134399 + 0.990927i \(0.542910\pi\)
\(98\) −1067.49 + 7719.07i −0.111151 + 0.803735i
\(99\) 4.61904 5.50475i 0.000471282 0.000561652i
\(100\) 7625.72 567.049i 0.762572 0.0567049i
\(101\) −1187.42 + 6734.19i −0.116402 + 0.660150i 0.869644 + 0.493679i \(0.164348\pi\)
−0.986046 + 0.166471i \(0.946763\pi\)
\(102\) −10120.5 11190.2i −0.972750 1.07557i
\(103\) 7002.15 4042.70i 0.660020 0.381063i −0.132265 0.991214i \(-0.542225\pi\)
0.792285 + 0.610152i \(0.208892\pi\)
\(104\) −1460.99 971.448i −0.135076 0.0898158i
\(105\) 5992.35 2181.04i 0.543523 0.197826i
\(106\) 1560.76 + 7264.00i 0.138907 + 0.646493i
\(107\) 11437.8 + 6603.61i 0.999020 + 0.576785i 0.907958 0.419061i \(-0.137641\pi\)
0.0910620 + 0.995845i \(0.470974\pi\)
\(108\) 8118.42 + 8333.01i 0.696024 + 0.714421i
\(109\) −11094.2 + 9309.11i −0.933774 + 0.783529i −0.976491 0.215558i \(-0.930843\pi\)
0.0427172 + 0.999087i \(0.486399\pi\)
\(110\) 1946.71 1222.41i 0.160885 0.101026i
\(111\) −18586.7 + 3277.33i −1.50853 + 0.265995i
\(112\) −5446.00 142.097i −0.434152 0.0113279i
\(113\) −6177.78 −0.483811 −0.241905 0.970300i \(-0.577772\pi\)
−0.241905 + 0.970300i \(0.577772\pi\)
\(114\) 12955.8 1381.41i 0.996909 0.106295i
\(115\) 20181.1i 1.52598i
\(116\) 194.719 + 285.954i 0.0144708 + 0.0212510i
\(117\) −1.97686 11.2113i −0.000144412 0.000819002i
\(118\) 12021.2 7548.59i 0.863344 0.542128i
\(119\) −5718.33 6814.84i −0.403808 0.481240i
\(120\) −8520.97 17181.2i −0.591734 1.19314i
\(121\) −7170.79 + 12420.2i −0.489774 + 0.848314i
\(122\) −2283.98 10629.9i −0.153452 0.714186i
\(123\) −2715.57 7460.97i −0.179494 0.493157i
\(124\) 2294.99 8138.89i 0.149258 0.529324i
\(125\) −2442.22 4230.06i −0.156302 0.270724i
\(126\) −23.7113 26.2175i −0.00149353 0.00165139i
\(127\) 3158.11 + 556.860i 0.195803 + 0.0345254i 0.270690 0.962667i \(-0.412748\pi\)
−0.0748864 + 0.997192i \(0.523859\pi\)
\(128\) 1395.03 + 16324.5i 0.0851460 + 0.996368i
\(129\) −16468.7 13818.9i −0.989649 0.830414i
\(130\) 498.869 3607.34i 0.0295189 0.213452i
\(131\) 10680.2 29343.7i 0.622354 1.70990i −0.0787968 0.996891i \(-0.525108\pi\)
0.701151 0.713013i \(-0.252670\pi\)
\(132\) −2027.51 1459.45i −0.116363 0.0837610i
\(133\) 7663.98 530.512i 0.433263 0.0299911i
\(134\) −2881.72 + 8936.01i −0.160488 + 0.497662i
\(135\) −8259.05 + 22691.6i −0.453171 + 1.24508i
\(136\) −18457.5 + 19368.1i −0.997918 + 1.04715i
\(137\) 11427.6 + 9588.86i 0.608853 + 0.510888i 0.894277 0.447513i \(-0.147690\pi\)
−0.285425 + 0.958401i \(0.592135\pi\)
\(138\) 20317.1 8260.81i 1.06685 0.433775i
\(139\) −22331.1 3937.58i −1.15580 0.203798i −0.437291 0.899320i \(-0.644062\pi\)
−0.718505 + 0.695522i \(0.755173\pi\)
\(140\) −4644.81 10309.8i −0.236980 0.526010i
\(141\) 13061.3 + 22622.8i 0.656972 + 1.13791i
\(142\) 872.665 + 23503.7i 0.0432784 + 1.16563i
\(143\) −162.243 445.759i −0.00793404 0.0217986i
\(144\) −70.4361 + 79.6286i −0.00339680 + 0.00384012i
\(145\) −359.040 + 621.875i −0.0170768 + 0.0295779i
\(146\) −14734.4 + 27859.4i −0.691237 + 1.30697i
\(147\) 11299.0 + 13465.6i 0.522883 + 0.623147i
\(148\) 8239.54 + 32436.9i 0.376166 + 1.48087i
\(149\) −6346.36 35992.0i −0.285859 1.62119i −0.702200 0.711980i \(-0.747799\pi\)
0.416341 0.909209i \(-0.363312\pi\)
\(150\) 10589.7 13616.0i 0.470655 0.605156i
\(151\) 4295.75i 0.188402i −0.995553 0.0942009i \(-0.969970\pi\)
0.995553 0.0942009i \(-0.0300296\pi\)
\(152\) −4146.44 22728.9i −0.179469 0.983764i
\(153\) −173.602 −0.00741602
\(154\) −1162.71 904.286i −0.0490263 0.0381298i
\(155\) 17285.6 3047.91i 0.719482 0.126864i
\(156\) −3835.86 + 974.376i −0.157621 + 0.0400385i
\(157\) 11822.2 9919.98i 0.479621 0.402449i −0.370669 0.928765i \(-0.620871\pi\)
0.850289 + 0.526316i \(0.176427\pi\)
\(158\) 1994.97 + 1055.11i 0.0799137 + 0.0422651i
\(159\) 14514.4 + 8379.90i 0.574123 + 0.331470i
\(160\) −29262.0 + 17327.4i −1.14305 + 0.676850i
\(161\) 12151.9 4422.91i 0.468804 0.170631i
\(162\) 26359.7 978.703i 1.00441 0.0372925i
\(163\) 30351.1 17523.2i 1.14235 0.659537i 0.195339 0.980736i \(-0.437419\pi\)
0.947012 + 0.321199i \(0.104086\pi\)
\(164\) −12836.6 + 5783.17i −0.477266 + 0.215020i
\(165\) 900.415 5106.51i 0.0330731 0.187567i
\(166\) 12626.8 + 31055.1i 0.458223 + 1.12698i
\(167\) 33584.1 40024.0i 1.20421 1.43512i 0.333900 0.942608i \(-0.391635\pi\)
0.870307 0.492510i \(-0.163920\pi\)
\(168\) −8478.02 + 8896.28i −0.300384 + 0.315203i
\(169\) 26132.4 + 9511.41i 0.914967 + 0.333021i
\(170\) −52852.5 17044.1i −1.82881 0.589760i
\(171\) 88.2028 121.222i 0.00301641 0.00414561i
\(172\) −22271.2 + 30939.7i −0.752812 + 1.04583i
\(173\) −23464.9 8540.54i −0.784020 0.285360i −0.0811721 0.996700i \(-0.525866\pi\)
−0.702848 + 0.711340i \(0.748089\pi\)
\(174\) 773.035 + 106.905i 0.0255329 + 0.00353102i
\(175\) 6537.50 7791.08i 0.213469 0.254403i
\(176\) −2314.22 + 3777.27i −0.0747102 + 0.121942i
\(177\) 5560.20 31533.5i 0.177478 1.00653i
\(178\) −22904.4 + 20714.9i −0.722901 + 0.653796i
\(179\) 26478.3 15287.3i 0.826389 0.477116i −0.0262260 0.999656i \(-0.508349\pi\)
0.852615 + 0.522540i \(0.175016\pi\)
\(180\) −212.381 59.8869i −0.00655498 0.00184836i
\(181\) −30072.1 + 10945.3i −0.917924 + 0.334097i −0.757412 0.652937i \(-0.773537\pi\)
−0.160511 + 0.987034i \(0.551314\pi\)
\(182\) −2281.46 + 490.200i −0.0688764 + 0.0147989i
\(183\) −21240.0 12262.9i −0.634239 0.366178i
\(184\) −17279.7 34841.6i −0.510387 1.02911i
\(185\) −53213.7 + 44651.6i −1.55482 + 1.30465i
\(186\) −10144.0 16154.5i −0.293214 0.466946i
\(187\) −7123.85 + 1256.13i −0.203719 + 0.0359212i
\(188\) 38287.6 26071.8i 1.08329 0.737657i
\(189\) 15473.6 0.433179
\(190\) 38754.5 28245.9i 1.07353 0.782435i
\(191\) 39533.0i 1.08366i 0.840488 + 0.541830i \(0.182268\pi\)
−0.840488 + 0.541830i \(0.817732\pi\)
\(192\) 29422.1 + 22366.5i 0.798125 + 0.606731i
\(193\) −8986.77 50966.5i −0.241262 1.36826i −0.829016 0.559225i \(-0.811099\pi\)
0.587754 0.809040i \(-0.300012\pi\)
\(194\) −8511.06 13554.0i −0.226142 0.360133i
\(195\) −5280.33 6292.85i −0.138865 0.165492i
\(196\) 22326.2 21751.3i 0.581169 0.566203i
\(197\) 1448.88 2509.53i 0.0373336 0.0646636i −0.846755 0.531983i \(-0.821447\pi\)
0.884088 + 0.467320i \(0.154780\pi\)
\(198\) −28.1024 + 6.03815i −0.000716825 + 0.000154019i
\(199\) −21756.2 59774.5i −0.549384 1.50942i −0.834545 0.550940i \(-0.814269\pi\)
0.285161 0.958480i \(-0.407953\pi\)
\(200\) −25470.5 16936.0i −0.636762 0.423399i
\(201\) 10589.9 + 18342.2i 0.262119 + 0.454003i
\(202\) 20286.3 18347.1i 0.497165 0.449639i
\(203\) 453.145 + 79.9016i 0.0109963 + 0.00193894i
\(204\) 4475.40 + 60185.5i 0.107540 + 1.44621i
\(205\) −22386.3 18784.4i −0.532691 0.446981i
\(206\) −32036.7 4430.44i −0.754941 0.104403i
\(207\) 86.3098 237.134i 0.00201428 0.00553419i
\(208\) 2227.44 + 6655.04i 0.0514849 + 0.153824i
\(209\) 2742.34 5612.62i 0.0627810 0.128491i
\(210\) −24276.6 7828.79i −0.550489 0.177524i
\(211\) 16000.9 43962.0i 0.359400 0.987444i −0.619838 0.784730i \(-0.712802\pi\)
0.979238 0.202714i \(-0.0649761\pi\)
\(212\) 12910.1 26768.6i 0.287248 0.595598i
\(213\) 40642.7 + 34103.3i 0.895826 + 0.751687i
\(214\) −19898.0 48938.3i −0.434492 1.06862i
\(215\) −77925.2 13740.3i −1.68578 0.297248i
\(216\) −5170.36 46247.5i −0.110819 0.991245i
\(217\) −5623.60 9740.36i −0.119425 0.206850i
\(218\) 57889.7 2149.38i 1.21812 0.0452272i
\(219\) 24315.0 + 66804.9i 0.506974 + 1.39290i
\(220\) −9148.52 920.774i −0.189019 0.0190243i
\(221\) −5729.99 + 9924.64i −0.117319 + 0.203203i
\(222\) 66734.8 + 35295.0i 1.35409 + 0.716155i
\(223\) −4071.73 4852.50i −0.0818784 0.0975789i 0.723550 0.690272i \(-0.242509\pi\)
−0.805428 + 0.592693i \(0.798065\pi\)
\(224\) 16846.6 + 13822.3i 0.335750 + 0.275477i
\(225\) −34.4640 195.455i −0.000680771 0.00386084i
\(226\) 19506.1 + 15170.7i 0.381904 + 0.297022i
\(227\) 84648.8i 1.64274i 0.570396 + 0.821370i \(0.306790\pi\)
−0.570396 + 0.821370i \(0.693210\pi\)
\(228\) −44299.9 27453.8i −0.852184 0.528119i
\(229\) −79720.5 −1.52019 −0.760097 0.649810i \(-0.774848\pi\)
−0.760097 + 0.649810i \(0.774848\pi\)
\(230\) 49558.4 63721.0i 0.936833 1.20456i
\(231\) −3272.18 + 576.973i −0.0613215 + 0.0108126i
\(232\) 87.3962 1381.06i 0.00162374 0.0256588i
\(233\) −11549.8 + 9691.40i −0.212746 + 0.178515i −0.742933 0.669366i \(-0.766566\pi\)
0.530187 + 0.847881i \(0.322122\pi\)
\(234\) −21.2896 + 40.2539i −0.000388809 + 0.000735150i
\(235\) 83265.6 + 48073.4i 1.50775 + 0.870501i
\(236\) −56493.5 5685.92i −1.01432 0.102088i
\(237\) 4783.78 1741.16i 0.0851677 0.0309985i
\(238\) 1320.30 + 35560.1i 0.0233088 + 0.627782i
\(239\) −40846.3 + 23582.6i −0.715084 + 0.412854i −0.812941 0.582347i \(-0.802135\pi\)
0.0978568 + 0.995201i \(0.468801\pi\)
\(240\) −15286.9 + 75173.8i −0.265398 + 1.30510i
\(241\) −12849.0 + 72870.4i −0.221226 + 1.25463i 0.648544 + 0.761177i \(0.275378\pi\)
−0.869770 + 0.493458i \(0.835733\pi\)
\(242\) 53141.6 21607.0i 0.907410 0.368947i
\(243\) 389.187 463.815i 0.00659091 0.00785474i
\(244\) −18892.3 + 39172.4i −0.317325 + 0.657962i
\(245\) 60796.3 + 22128.0i 1.01285 + 0.368647i
\(246\) −9747.50 + 30226.3i −0.161073 + 0.499477i
\(247\) −4018.86 9043.59i −0.0658732 0.148234i
\(248\) −27233.0 + 20062.5i −0.442783 + 0.326198i
\(249\) 71061.4 + 25864.2i 1.14613 + 0.417158i
\(250\) −2676.46 + 19353.6i −0.0428234 + 0.309658i
\(251\) −15281.2 + 18211.4i −0.242554 + 0.289065i −0.873563 0.486710i \(-0.838197\pi\)
0.631009 + 0.775776i \(0.282641\pi\)
\(252\) 10.4854 + 141.008i 0.000165114 + 0.00222047i
\(253\) 1825.95 10355.5i 0.0285264 0.161781i
\(254\) −8604.15 9513.60i −0.133365 0.147461i
\(255\) −108486. + 62634.3i −1.66837 + 0.963234i
\(256\) 35683.1 54969.8i 0.544481 0.838773i
\(257\) 82551.4 30046.3i 1.24985 0.454909i 0.369500 0.929231i \(-0.379529\pi\)
0.880351 + 0.474322i \(0.157307\pi\)
\(258\) 18064.5 + 84074.9i 0.271386 + 1.26307i
\(259\) 38549.0 + 22256.3i 0.574663 + 0.331782i
\(260\) −10433.7 + 10165.0i −0.154344 + 0.150370i
\(261\) 6.87846 5.77171i 0.000100974 8.47274e-5i
\(262\) −105781. + 66424.3i −1.54101 + 0.967664i
\(263\) −80381.7 + 14173.5i −1.16211 + 0.204911i −0.721255 0.692669i \(-0.756434\pi\)
−0.440851 + 0.897580i \(0.645323\pi\)
\(264\) 2817.83 + 9587.10i 0.0404302 + 0.137556i
\(265\) 61686.3 0.878409
\(266\) −25501.5 17145.3i −0.360415 0.242316i
\(267\) 69663.1i 0.977193i
\(268\) 31043.0 21138.6i 0.432209 0.294310i
\(269\) 5422.46 + 30752.3i 0.0749362 + 0.424984i 0.999078 + 0.0429345i \(0.0136707\pi\)
−0.924142 + 0.382050i \(0.875218\pi\)
\(270\) 81801.1 51366.1i 1.12210 0.704611i
\(271\) −72941.3 86928.1i −0.993197 1.18365i −0.982983 0.183698i \(-0.941193\pi\)
−0.0102137 0.999948i \(-0.503251\pi\)
\(272\) 105841. 15828.2i 1.43059 0.213941i
\(273\) −2631.94 + 4558.66i −0.0353143 + 0.0611662i
\(274\) −12534.9 58339.0i −0.166962 0.777066i
\(275\) −2828.51 7771.26i −0.0374017 0.102760i
\(276\) −84436.6 23809.3i −1.10844 0.312556i
\(277\) −59088.1 102344.i −0.770089 1.33383i −0.937514 0.347948i \(-0.886879\pi\)
0.167425 0.985885i \(-0.446455\pi\)
\(278\) 60840.3 + 67271.1i 0.787230 + 0.870440i
\(279\) −216.146 38.1124i −0.00277677 0.000489619i
\(280\) −10651.8 + 43959.1i −0.135865 + 0.560702i
\(281\) 82106.1 + 68895.2i 1.03983 + 0.872521i 0.991988 0.126333i \(-0.0403209\pi\)
0.0478427 + 0.998855i \(0.484765\pi\)
\(282\) 14314.0 103505.i 0.179996 1.30156i
\(283\) −16456.4 + 45213.7i −0.205477 + 0.564543i −0.999034 0.0439532i \(-0.986005\pi\)
0.793557 + 0.608496i \(0.208227\pi\)
\(284\) 54962.4 76355.2i 0.681443 0.946677i
\(285\) 11383.0 107576.i 0.140142 1.32442i
\(286\) −582.369 + 1805.89i −0.00711978 + 0.0220780i
\(287\) −6404.62 + 17596.5i −0.0777552 + 0.213631i
\(288\) 417.943 78.4555i 0.00503886 0.000945885i
\(289\) 69890.3 + 58644.9i 0.836799 + 0.702158i
\(290\) 2660.79 1081.86i 0.0316384 0.0128640i
\(291\) −35554.1 6269.15i −0.419859 0.0740325i
\(292\) 114937. 51782.1i 1.34802 0.607314i
\(293\) −57891.1 100270.i −0.674336 1.16798i −0.976662 0.214780i \(-0.931096\pi\)
0.302326 0.953205i \(-0.402237\pi\)
\(294\) −2608.81 70263.9i −0.0301820 0.812901i
\(295\) −40308.1 110745.i −0.463178 1.27257i
\(296\) 53638.8 122652.i 0.612203 1.39988i
\(297\) 6291.04 10896.4i 0.0713197 0.123529i
\(298\) −68346.7 + 129228.i −0.769636 + 1.45521i
\(299\) −10708.0 12761.3i −0.119775 0.142742i
\(300\) −66873.4 + 16987.0i −0.743038 + 0.188745i
\(301\) 8804.59 + 49933.3i 0.0971798 + 0.551134i
\(302\) −10549.0 + 13563.7i −0.115664 + 0.148718i
\(303\) 61700.3i 0.672050i
\(304\) −42722.8 + 81948.0i −0.462288 + 0.886730i
\(305\) −90270.1 −0.970386
\(306\) 548.141 + 426.311i 0.00585395 + 0.00455286i
\(307\) 160344. 28272.9i 1.70128 0.299981i 0.763137 0.646237i \(-0.223658\pi\)
0.938140 + 0.346256i \(0.112547\pi\)
\(308\) 1450.57 + 5710.50i 0.0152910 + 0.0601967i
\(309\) −55886.6 + 46894.4i −0.585317 + 0.491139i
\(310\) −62063.3 32824.3i −0.645820 0.341564i
\(311\) 79467.2 + 45880.4i 0.821613 + 0.474359i 0.850972 0.525210i \(-0.176013\pi\)
−0.0293593 + 0.999569i \(0.509347\pi\)
\(312\) 14504.4 + 6343.12i 0.149001 + 0.0651619i
\(313\) −135190. + 49205.1i −1.37993 + 0.502252i −0.922156 0.386819i \(-0.873574\pi\)
−0.457770 + 0.889071i \(0.651352\pi\)
\(314\) −61688.5 + 2290.42i −0.625669 + 0.0232303i
\(315\) −254.171 + 146.746i −0.00256156 + 0.00147892i
\(316\) −3708.03 8230.48i −0.0371337 0.0824235i
\(317\) −20059.9 + 113765.i −0.199623 + 1.13212i 0.706057 + 0.708155i \(0.250472\pi\)
−0.905680 + 0.423962i \(0.860639\pi\)
\(318\) −25250.3 62102.1i −0.249697 0.614119i
\(319\) 240.500 286.616i 0.00236338 0.00281656i
\(320\) 134944. + 17147.8i 1.31781 + 0.167459i
\(321\) −111982. 40758.3i −1.08678 0.395554i
\(322\) −49230.4 15876.0i −0.474812 0.153119i
\(323\) −146455. + 36406.1i −1.40378 + 0.348955i
\(324\) −85633.2 61641.0i −0.815741 0.587191i
\(325\) −12311.5 4481.03i −0.116559 0.0424240i
\(326\) −138864. 19203.9i −1.30664 0.180699i
\(327\) 83996.5 100103.i 0.785535 0.936165i
\(328\) 54732.7 + 13262.4i 0.508744 + 0.123275i
\(329\) 10698.4 60673.5i 0.0988385 0.560541i
\(330\) −15383.0 + 13912.5i −0.141258 + 0.127755i
\(331\) 120498. 69569.6i 1.09983 0.634985i 0.163651 0.986518i \(-0.447673\pi\)
0.936175 + 0.351534i \(0.114340\pi\)
\(332\) 36393.0 129063.i 0.330173 1.17091i
\(333\) 816.244 297.088i 0.00736091 0.00267915i
\(334\) −204327. + 43902.3i −1.83161 + 0.393545i
\(335\) 67510.4 + 38977.2i 0.601563 + 0.347313i
\(336\) 48615.6 7270.32i 0.430623 0.0643983i
\(337\) 19857.8 16662.7i 0.174852 0.146719i −0.551162 0.834399i \(-0.685815\pi\)
0.726014 + 0.687680i \(0.241371\pi\)
\(338\) −59155.0 94204.9i −0.517795 0.824594i
\(339\) 54895.5 9679.56i 0.477680 0.0842279i
\(340\) 125025. + 183605.i 1.08153 + 1.58828i
\(341\) −9145.47 −0.0786497
\(342\) −576.180 + 166.155i −0.00492613 + 0.00142056i
\(343\) 92552.5i 0.786683i
\(344\) 146299. 42999.9i 1.23630 0.363372i
\(345\) −31620.4 179328.i −0.265662 1.50664i
\(346\) 53116.8 + 84589.0i 0.443690 + 0.706581i
\(347\) 82197.4 + 97959.1i 0.682652 + 0.813553i 0.990446 0.137900i \(-0.0440353\pi\)
−0.307794 + 0.951453i \(0.599591\pi\)
\(348\) −2178.31 2235.88i −0.0179871 0.0184625i
\(349\) −68278.9 + 118263.i −0.560577 + 0.970949i 0.436869 + 0.899525i \(0.356087\pi\)
−0.997446 + 0.0714233i \(0.977246\pi\)
\(350\) −39774.4 + 8546.02i −0.324689 + 0.0697635i
\(351\) −6817.50 18730.9i −0.0553364 0.152036i
\(352\) 16582.9 6243.58i 0.133836 0.0503904i
\(353\) −42410.5 73457.1i −0.340348 0.589500i 0.644149 0.764900i \(-0.277212\pi\)
−0.984497 + 0.175400i \(0.943878\pi\)
\(354\) −94992.6 + 85911.7i −0.758024 + 0.685561i
\(355\) 192309. + 33909.3i 1.52596 + 0.269068i
\(356\) 123189. 9160.35i 0.972014 0.0722790i
\(357\) 61490.6 + 51596.7i 0.482472 + 0.404842i
\(358\) −121145. 16753.5i −0.945235 0.130719i
\(359\) −18207.8 + 50025.6i −0.141276 + 0.388153i −0.990071 0.140570i \(-0.955107\pi\)
0.848795 + 0.528723i \(0.177329\pi\)
\(360\) 523.523 + 710.633i 0.00403953 + 0.00548328i
\(361\) 48988.7 120763.i 0.375908 0.926657i
\(362\) 121830. + 39288.2i 0.929688 + 0.299809i
\(363\) 44259.0 121601.i 0.335883 0.922831i
\(364\) 8407.41 + 4054.77i 0.0634541 + 0.0306029i
\(365\) 200445. + 168194.i 1.50456 + 1.26248i
\(366\) 36950.7 + 90878.7i 0.275842 + 0.678422i
\(367\) −38165.9 6729.68i −0.283363 0.0499646i 0.0301601 0.999545i \(-0.490398\pi\)
−0.313523 + 0.949580i \(0.601509\pi\)
\(368\) −31000.3 + 152445.i −0.228913 + 1.12568i
\(369\) 182.710 + 316.464i 0.00134187 + 0.00232419i
\(370\) 277671. 10309.6i 2.02828 0.0753074i
\(371\) −13519.3 37143.9i −0.0982212 0.269860i
\(372\) −7640.92 + 75917.8i −0.0552153 + 0.548602i
\(373\) 109489. 189640.i 0.786958 1.36305i −0.140864 0.990029i \(-0.544988\pi\)
0.927822 0.373022i \(-0.121679\pi\)
\(374\) 25578.0 + 13527.8i 0.182862 + 0.0967127i
\(375\) 28329.3 + 33761.6i 0.201453 + 0.240082i
\(376\) −184916. 11701.9i −1.30797 0.0827712i
\(377\) −102.929 583.740i −0.000724195 0.00410711i
\(378\) −48857.3 37998.3i −0.341937 0.265938i
\(379\) 168171.i 1.17077i −0.810754 0.585387i \(-0.800942\pi\)
0.810754 0.585387i \(-0.199058\pi\)
\(380\) −191729. 5983.57i −1.32777 0.0414375i
\(381\) −28935.3 −0.199333
\(382\) 97080.8 124824.i 0.665284 0.855405i
\(383\) −179019. + 31565.9i −1.22040 + 0.215190i −0.746498 0.665388i \(-0.768266\pi\)
−0.473903 + 0.880577i \(0.657155\pi\)
\(384\) −37974.0 142873.i −0.257528 0.968920i
\(385\) −9368.26 + 7860.90i −0.0632030 + 0.0530336i
\(386\) −96782.5 + 182994.i −0.649564 + 1.22818i
\(387\) 856.883 + 494.721i 0.00572136 + 0.00330323i
\(388\) −6410.90 + 63696.7i −0.0425849 + 0.423110i
\(389\) 38572.8 14039.4i 0.254907 0.0927787i −0.211406 0.977398i \(-0.567804\pi\)
0.466313 + 0.884620i \(0.345582\pi\)
\(390\) 1219.17 + 32836.3i 0.00801560 + 0.215886i
\(391\) −219998. + 127016.i −1.43901 + 0.830815i
\(392\) −123909. + 13852.7i −0.806360 + 0.0901491i
\(393\) −48927.3 + 277481.i −0.316786 + 1.79658i
\(394\) −10737.4 + 4365.76i −0.0691683 + 0.0281234i
\(395\) 12044.1 14353.6i 0.0771932 0.0919952i
\(396\) 103.560 + 49.9455i 0.000660393 + 0.000318498i
\(397\) −48756.5 17745.9i −0.309351 0.112595i 0.182680 0.983173i \(-0.441523\pi\)
−0.492030 + 0.870578i \(0.663745\pi\)
\(398\) −78093.4 + 242162.i −0.493001 + 1.52876i
\(399\) −67270.6 + 16722.3i −0.422552 + 0.105039i
\(400\) 38832.6 + 116022.i 0.242704 + 0.725139i
\(401\) −46326.0 16861.3i −0.288095 0.104858i 0.193930 0.981015i \(-0.437876\pi\)
−0.482025 + 0.876157i \(0.660099\pi\)
\(402\) 11605.6 83920.2i 0.0718149 0.519296i
\(403\) −9313.10 + 11098.9i −0.0573435 + 0.0683393i
\(404\) −109108. + 8113.28i −0.668489 + 0.0497088i
\(405\) 38029.7 215677.i 0.231853 1.31490i
\(406\) −1234.58 1365.07i −0.00748972 0.00828138i
\(407\) 31345.4 18097.3i 0.189228 0.109251i
\(408\) 133666. 201024.i 0.802972 1.20761i
\(409\) 29371.1 10690.2i 0.175579 0.0639056i −0.252735 0.967536i \(-0.581330\pi\)
0.428314 + 0.903630i \(0.359108\pi\)
\(410\) 24555.5 + 114285.i 0.146077 + 0.679862i
\(411\) −116569. 67301.1i −0.690080 0.398418i
\(412\) 90274.9 + 92661.1i 0.531830 + 0.545887i
\(413\) −57850.4 + 48542.3i −0.339162 + 0.284590i
\(414\) −854.849 + 536.793i −0.00498756 + 0.00313189i
\(415\) 274106. 48332.4i 1.59156 0.280635i
\(416\) 9309.64 26483.0i 0.0537956 0.153031i
\(417\) 204603. 1.17663
\(418\) −22441.7 + 10987.3i −0.128441 + 0.0628839i
\(419\) 19115.8i 0.108884i 0.998517 + 0.0544421i \(0.0173380\pi\)
−0.998517 + 0.0544421i \(0.982662\pi\)
\(420\) 57427.4 + 84334.9i 0.325552 + 0.478089i
\(421\) 17326.5 + 98263.5i 0.0977568 + 0.554406i 0.993868 + 0.110576i \(0.0352696\pi\)
−0.896111 + 0.443830i \(0.853619\pi\)
\(422\) −158479. + 99515.3i −0.889912 + 0.558811i
\(423\) −772.800 920.987i −0.00431903 0.00514722i
\(424\) −106498. + 52817.7i −0.592395 + 0.293797i
\(425\) −99895.3 + 173024.i −0.553053 + 0.957917i
\(426\) −44580.9 207486.i −0.245657 1.14332i
\(427\) 19783.7 + 54355.4i 0.108506 + 0.298117i
\(428\) −57350.0 + 203384.i −0.313073 + 1.11027i
\(429\) 2140.12 + 3706.79i 0.0116285 + 0.0201411i
\(430\) 212304. + 234745.i 1.14821 + 1.26958i
\(431\) 200895. + 35423.3i 1.08147 + 0.190693i 0.685866 0.727728i \(-0.259423\pi\)
0.395606 + 0.918420i \(0.370535\pi\)
\(432\) −97244.3 + 158722.i −0.521071 + 0.850489i
\(433\) −204129. 171285.i −1.08875 0.913572i −0.0921344 0.995747i \(-0.529369\pi\)
−0.996618 + 0.0821749i \(0.973813\pi\)
\(434\) −6162.97 + 44564.7i −0.0327198 + 0.236598i
\(435\) 2216.04 6088.52i 0.0117111 0.0321761i
\(436\) −188063. 135373.i −0.989306 0.712128i
\(437\) 23083.6 218153.i 0.120876 1.14235i
\(438\) 87278.3 270644.i 0.454944 1.41075i
\(439\) 37518.2 103080.i 0.194676 0.534868i −0.803496 0.595311i \(-0.797029\pi\)
0.998172 + 0.0604425i \(0.0192512\pi\)
\(440\) 26625.0 + 25373.2i 0.137526 + 0.131060i
\(441\) −619.740 520.024i −0.00318664 0.00267391i
\(442\) 42464.1 17265.6i 0.217359 0.0883767i
\(443\) 29637.0 + 5225.80i 0.151017 + 0.0266284i 0.248646 0.968595i \(-0.420015\pi\)
−0.0976284 + 0.995223i \(0.531126\pi\)
\(444\) −124039. 275323.i −0.629207 1.39661i
\(445\) 128201. + 222051.i 0.647400 + 1.12133i
\(446\) 940.120 + 25320.5i 0.00472622 + 0.127293i
\(447\) 112787. + 309880.i 0.564474 + 1.55088i
\(448\) −19249.2 85013.6i −0.0959085 0.423577i
\(449\) 6013.06 10414.9i 0.0298266 0.0516611i −0.850727 0.525608i \(-0.823838\pi\)
0.880553 + 0.473947i \(0.157171\pi\)
\(450\) −371.158 + 701.776i −0.00183288 + 0.00346556i
\(451\) 9787.48 + 11664.3i 0.0481191 + 0.0573461i
\(452\) −24335.4 95801.9i −0.119114 0.468919i
\(453\) 6730.73 + 38171.9i 0.0327994 + 0.186015i
\(454\) 207871. 267276.i 1.00851 1.29672i
\(455\) 19374.3i 0.0935843i
\(456\) 72457.5 + 195471.i 0.348461 + 0.940054i
\(457\) 107165. 0.513120 0.256560 0.966528i \(-0.417411\pi\)
0.256560 + 0.966528i \(0.417411\pi\)
\(458\) 251715. + 195769.i 1.19999 + 0.933281i
\(459\) −299346. + 52782.8i −1.42085 + 0.250534i
\(460\) −312958. + 79496.9i −1.47901 + 0.375694i
\(461\) 158725. 133186.i 0.746866 0.626695i −0.187806 0.982206i \(-0.560138\pi\)
0.934672 + 0.355511i \(0.115693\pi\)
\(462\) 11748.6 + 6213.67i 0.0550432 + 0.0291115i
\(463\) −128149. 73986.8i −0.597796 0.345138i 0.170378 0.985379i \(-0.445501\pi\)
−0.768174 + 0.640241i \(0.778834\pi\)
\(464\) −3667.40 + 4146.03i −0.0170342 + 0.0192573i
\(465\) −148823. + 54167.2i −0.688279 + 0.250513i
\(466\) 60267.1 2237.64i 0.277529 0.0103043i
\(467\) 9485.12 5476.23i 0.0434920 0.0251101i −0.478096 0.878307i \(-0.658673\pi\)
0.521588 + 0.853197i \(0.325340\pi\)
\(468\) 166.072 74.8195i 0.000758238 0.000341604i
\(469\) 8674.07 49193.1i 0.0394346 0.223645i
\(470\) −144855. 356265.i −0.655749 1.61279i
\(471\) −89508.4 + 106672.i −0.403480 + 0.480849i
\(472\) 164414. + 156684.i 0.737995 + 0.703299i
\(473\) 38742.4 + 14101.1i 0.173167 + 0.0630275i
\(474\) −19380.4 6249.85i −0.0862592 0.0278172i
\(475\) −70063.8 157664.i −0.310532 0.698786i
\(476\) 83155.7 115522.i 0.367010 0.509860i
\(477\) −724.835 263.818i −0.00318568 0.00115949i
\(478\) 186882. + 25844.5i 0.817923 + 0.113113i
\(479\) −88357.8 + 105301.i −0.385100 + 0.458945i −0.923417 0.383798i \(-0.874616\pi\)
0.538317 + 0.842743i \(0.319060\pi\)
\(480\) 232872. 199819.i 1.01073 0.867269i
\(481\) 9957.15 56469.8i 0.0430373 0.244077i
\(482\) 219518. 198533.i 0.944877 0.854551i
\(483\) −101051. + 58341.8i −0.433158 + 0.250084i
\(484\) −220853. 62275.7i −0.942784 0.265845i
\(485\) −124866. + 45447.5i −0.530836 + 0.193209i
\(486\) −2367.83 + 508.757i −0.0100248 + 0.00215396i
\(487\) −146368. 84505.5i −0.617145 0.356309i 0.158611 0.987341i \(-0.449298\pi\)
−0.775757 + 0.631032i \(0.782632\pi\)
\(488\) 155847. 77292.1i 0.654423 0.324560i
\(489\) −242243. + 203266.i −1.01306 + 0.850055i
\(490\) −137623. 219165.i −0.573189 0.912809i
\(491\) −9997.42 + 1762.81i −0.0414691 + 0.00731213i −0.194344 0.980933i \(-0.562258\pi\)
0.152875 + 0.988246i \(0.451147\pi\)
\(492\) 105004. 71501.8i 0.433786 0.295384i
\(493\) −9038.92 −0.0371897
\(494\) −9518.83 + 38423.9i −0.0390058 + 0.157452i
\(495\) 238.647i 0.000973972i
\(496\) 135254. + 3529.05i 0.549779 + 0.0143448i
\(497\) −21728.6 123229.i −0.0879668 0.498884i
\(498\) −160859. 256170.i −0.648616 1.03293i
\(499\) 225936. + 269260.i 0.907370 + 1.08136i 0.996353 + 0.0853283i \(0.0271939\pi\)
−0.0889829 + 0.996033i \(0.528362\pi\)
\(500\) 55977.3 54535.8i 0.223909 0.218143i
\(501\) −235716. + 408273.i −0.939105 + 1.62658i
\(502\) 92971.3 19976.0i 0.368928 0.0792687i
\(503\) −25097.5 68954.8i −0.0991961 0.272539i 0.880162 0.474674i \(-0.157434\pi\)
−0.979358 + 0.202135i \(0.935212\pi\)
\(504\) 313.166 470.978i 0.00123286 0.00185413i
\(505\) −113547. 196670.i −0.445240 0.771178i
\(506\) −31195.2 + 28213.1i −0.121839 + 0.110192i
\(507\) −247114. 43572.9i −0.961350 0.169512i
\(508\) 3804.85 + 51168.0i 0.0147438 + 0.198276i
\(509\) 358198. + 300563.i 1.38257 + 1.16011i 0.968251 + 0.249982i \(0.0804247\pi\)
0.414319 + 0.910132i \(0.364020\pi\)
\(510\) 496350. + 68641.7i 1.90831 + 0.263905i
\(511\) 57346.4 157558.i 0.219616 0.603391i
\(512\) −247657. + 85938.6i −0.944737 + 0.327830i
\(513\) 115234. 235844.i 0.437869 0.896168i
\(514\) −334438. 107851.i −1.26587 0.408222i
\(515\) −91838.6 + 252325.i −0.346267 + 0.951360i
\(516\) 149424. 309824.i 0.561203 1.16363i
\(517\) −38376.3 32201.5i −0.143576 0.120475i
\(518\) −67062.6 164938.i −0.249932 0.614696i
\(519\) 221890. + 39125.2i 0.823765 + 0.145252i
\(520\) 57906.0 6473.74i 0.214149 0.0239414i
\(521\) 82884.1 + 143559.i 0.305348 + 0.528879i 0.977339 0.211681i \(-0.0678937\pi\)
−0.671990 + 0.740560i \(0.734560\pi\)
\(522\) −35.8920 + 1.33263i −0.000131722 + 4.89066e-6i
\(523\) −98749.6 271312.i −0.361020 0.991896i −0.978669 0.205442i \(-0.934137\pi\)
0.617649 0.786454i \(-0.288085\pi\)
\(524\) 497118. + 50033.6i 1.81049 + 0.182221i
\(525\) −45884.6 + 79474.4i −0.166475 + 0.288343i
\(526\) 288608. + 152640.i 1.04313 + 0.551693i
\(527\) 142018. + 169250.i 0.511354 + 0.609408i
\(528\) 14645.8 37190.6i 0.0525344 0.133403i
\(529\) −15529.0 88069.5i −0.0554923 0.314713i
\(530\) −194772. 151482.i −0.693387 0.539275i
\(531\) 1473.68i 0.00522655i
\(532\) 38416.7 + 116760.i 0.135737 + 0.412543i
\(533\) 24122.6 0.0849121
\(534\) 171071. 219959.i 0.599920 0.771363i
\(535\) −431952. + 76164.8i −1.50913 + 0.266101i
\(536\) −149927. 9487.68i −0.521855 0.0330240i
\(537\) −211333. + 177329.i −0.732855 + 0.614938i
\(538\) 58396.9 110415.i 0.201755 0.381473i
\(539\) −29194.2 16855.3i −0.100489 0.0580174i
\(540\) −384423. 38691.2i −1.31832 0.132686i
\(541\) 17855.7 6498.95i 0.0610075 0.0222049i −0.311336 0.950300i \(-0.600777\pi\)
0.372344 + 0.928095i \(0.378554\pi\)
\(542\) 16841.4 + 453594.i 0.0573296 + 1.54408i
\(543\) 250070. 144378.i 0.848129 0.489667i
\(544\) −373058. 209935.i −1.26060 0.709395i
\(545\) 83518.7 473658.i 0.281184 1.59467i
\(546\) 19504.9 7930.57i 0.0654272 0.0266023i
\(547\) −265740. + 316697.i −0.888142 + 1.05845i 0.109776 + 0.993956i \(0.464987\pi\)
−0.997918 + 0.0644902i \(0.979458\pi\)
\(548\) −103684. + 214985.i −0.345264 + 0.715892i
\(549\) 1060.70 + 386.065i 0.00351925 + 0.00128090i
\(550\) −10152.9 + 31483.4i −0.0335632 + 0.104077i
\(551\) 4592.46 6311.65i 0.0151266 0.0207893i
\(552\) 208137. + 282527.i 0.683081 + 0.927218i
\(553\) −11282.5 4106.48i −0.0368938 0.0134283i
\(554\) −64755.4 + 468249.i −0.210987 + 1.52566i
\(555\) 402893. 480150.i 1.30799 1.55880i
\(556\) −26904.3 361811.i −0.0870306 1.17039i
\(557\) 24189.5 137185.i 0.0779679 0.442178i −0.920686 0.390305i \(-0.872370\pi\)
0.998654 0.0518732i \(-0.0165192\pi\)
\(558\) 588.882 + 651.127i 0.00189130 + 0.00209121i
\(559\) 56565.5 32658.1i 0.181021 0.104512i
\(560\) 141583. 112642.i 0.451475 0.359189i
\(561\) 61334.1 22323.8i 0.194884 0.0709320i
\(562\) −90062.0 419161.i −0.285147 1.32711i
\(563\) −30816.9 17792.1i −0.0972236 0.0561321i 0.450600 0.892726i \(-0.351210\pi\)
−0.547823 + 0.836594i \(0.684543\pi\)
\(564\) −299372. + 291663.i −0.941138 + 0.916902i
\(565\) 157166. 131878.i 0.492337 0.413119i
\(566\) 162991. 102349.i 0.508782 0.319485i
\(567\) −138203. + 24368.9i −0.429883 + 0.0758000i
\(568\) −361047. + 106118.i −1.11909 + 0.328923i
\(569\) 401249. 1.23934 0.619668 0.784864i \(-0.287267\pi\)
0.619668 + 0.784864i \(0.287267\pi\)
\(570\) −300115. + 311714.i −0.923714 + 0.959415i
\(571\) 36662.8i 0.112448i 0.998418 + 0.0562242i \(0.0179061\pi\)
−0.998418 + 0.0562242i \(0.982094\pi\)
\(572\) 6273.51 4271.91i 0.0191743 0.0130566i
\(573\) −61941.7 351289.i −0.188657 1.06993i
\(574\) 63434.0 39832.7i 0.192530 0.120897i
\(575\) −186680. 222476.i −0.564627 0.672897i
\(576\) −1512.30 778.618i −0.00455820 0.00234682i
\(577\) −278694. + 482712.i −0.837097 + 1.44989i 0.0552148 + 0.998475i \(0.482416\pi\)
−0.892312 + 0.451420i \(0.850918\pi\)
\(578\) −76662.5 356798.i −0.229471 1.06799i
\(579\) 159712. + 438806.i 0.476410 + 1.30893i
\(580\) −11058.1 3118.14i −0.0328718 0.00926913i
\(581\) −89176.5 154458.i −0.264179 0.457571i
\(582\) 96865.8 + 107104.i 0.285973 + 0.316200i
\(583\) −31653.0 5581.27i −0.0931273 0.0164209i
\(584\) −490072. 118751.i −1.43692 0.348185i
\(585\) 289.622 + 243.022i 0.000846291 + 0.000710123i
\(586\) −63443.6 + 458763.i −0.184753 + 1.33596i
\(587\) 86520.6 237713.i 0.251098 0.689886i −0.748543 0.663087i \(-0.769246\pi\)
0.999641 0.0267998i \(-0.00853165\pi\)
\(588\) −164309. + 228262.i −0.475233 + 0.660206i
\(589\) −190339. + 13175.5i −0.548653 + 0.0379785i
\(590\) −144685. + 448659.i −0.415642 + 1.28888i
\(591\) −8942.66 + 24569.7i −0.0256030 + 0.0703438i
\(592\) −470558. + 255549.i −1.34267 + 0.729175i
\(593\) 396046. + 332322.i 1.12625 + 0.945038i 0.998903 0.0468199i \(-0.0149087\pi\)
0.127349 + 0.991858i \(0.459353\pi\)
\(594\) −46621.9 + 18956.2i −0.132135 + 0.0537252i
\(595\) 290955. + 51303.2i 0.821849 + 0.144914i
\(596\) 533147. 240195.i 1.50091 0.676195i
\(597\) 286981. + 497066.i 0.805202 + 1.39465i
\(598\) 2472.35 + 66588.6i 0.00691367 + 0.186208i
\(599\) 69657.3 + 191382.i 0.194139 + 0.533392i 0.998122 0.0612600i \(-0.0195119\pi\)
−0.803983 + 0.594652i \(0.797290\pi\)
\(600\) 252865. + 110584.i 0.702404 + 0.307179i
\(601\) 196328. 340049.i 0.543541 0.941440i −0.455156 0.890412i \(-0.650417\pi\)
0.998697 0.0510288i \(-0.0162500\pi\)
\(602\) 94820.5 179284.i 0.261643 0.494708i
\(603\) −626.574 746.721i −0.00172321 0.00205364i
\(604\) 66616.4 16921.7i 0.182603 0.0463843i
\(605\) −82706.5 469052.i −0.225959 1.28148i
\(606\) −151517. + 194816.i −0.412587 + 0.530494i
\(607\) 257203.i 0.698069i −0.937110 0.349035i \(-0.886510\pi\)
0.937110 0.349035i \(-0.113490\pi\)
\(608\) 336135. 153834.i 0.909298 0.416146i
\(609\) −4151.82 −0.0111945
\(610\) 285025. + 221675.i 0.765990 + 0.595741i
\(611\) −78159.5 + 13781.6i −0.209363 + 0.0369163i
\(612\) −683.848 2692.13i −0.00182581 0.00718775i
\(613\) −345572. + 289969.i −0.919638 + 0.771668i −0.973928 0.226857i \(-0.927155\pi\)
0.0542897 + 0.998525i \(0.482711\pi\)
\(614\) −575709. 304483.i −1.52710 0.807657i
\(615\) 228356. + 131841.i 0.603757 + 0.348579i
\(616\) 9443.10 21592.9i 0.0248859 0.0569048i
\(617\) 47785.5 17392.5i 0.125524 0.0456869i −0.278495 0.960438i \(-0.589835\pi\)
0.404018 + 0.914751i \(0.367613\pi\)
\(618\) 291618. 10827.4i 0.763551 0.0283497i
\(619\) −366958. + 211863.i −0.957712 + 0.552935i −0.895468 0.445126i \(-0.853159\pi\)
−0.0622439 + 0.998061i \(0.519826\pi\)
\(620\) 115356. + 256050.i 0.300095 + 0.666102i
\(621\) 76726.9 435140.i 0.198959 1.12835i
\(622\) −138247. 340013.i −0.357335 0.878849i
\(623\) 105609. 125860.i 0.272099 0.324275i
\(624\) −30220.3 55646.4i −0.0776121 0.142912i
\(625\) 433120. + 157643.i 1.10879 + 0.403565i
\(626\) 547690. + 176621.i 1.39761 + 0.450706i
\(627\) −15574.2 + 54170.3i −0.0396161 + 0.137793i
\(628\) 200404. + 144256.i 0.508144 + 0.365775i
\(629\) −821673. 299065.i −2.07682 0.755899i
\(630\) 1162.90 + 160.820i 0.00292995 + 0.000405191i
\(631\) 274688. 327360.i 0.689892 0.822181i −0.301451 0.953482i \(-0.597471\pi\)
0.991343 + 0.131301i \(0.0419153\pi\)
\(632\) −8503.54 + 35093.2i −0.0212895 + 0.0878596i
\(633\) −73301.8 + 415715.i −0.182939 + 1.03750i
\(634\) 342711. 309949.i 0.852607 0.771102i
\(635\) −92231.4 + 53249.9i −0.228734 + 0.132060i
\(636\) −72776.5 + 258092.i −0.179919 + 0.638059i
\(637\) −50184.8 + 18265.8i −0.123678 + 0.0450152i
\(638\) −1463.21 + 314.389i −0.00359472 + 0.000772371i
\(639\) −2114.68 1220.91i −0.00517895 0.00299007i
\(640\) −383972. 385525.i −0.937432 0.941222i
\(641\) −168552. + 141432.i −0.410221 + 0.344216i −0.824428 0.565966i \(-0.808503\pi\)
0.414207 + 0.910182i \(0.364059\pi\)
\(642\) 253491. + 403687.i 0.615025 + 0.979433i
\(643\) −424317. + 74818.5i −1.02629 + 0.180962i −0.661355 0.750073i \(-0.730018\pi\)
−0.364930 + 0.931035i \(0.618907\pi\)
\(644\) 116457. + 171022.i 0.280797 + 0.412364i
\(645\) 713969. 1.71617
\(646\) 551828. + 244696.i 1.32233 + 0.586358i
\(647\) 234925.i 0.561205i −0.959824 0.280602i \(-0.909466\pi\)
0.959824 0.280602i \(-0.0905342\pi\)
\(648\) 119013. + 404918.i 0.283429 + 0.964311i
\(649\) 10663.1 + 60473.6i 0.0253160 + 0.143574i
\(650\) 27869.2 + 44382.0i 0.0659627 + 0.105046i
\(651\) 65232.6 + 77741.2i 0.153923 + 0.183438i
\(652\) 391300. + 401643.i 0.920481 + 0.944811i
\(653\) −295127. + 511175.i −0.692122 + 1.19879i 0.279019 + 0.960286i \(0.409991\pi\)
−0.971141 + 0.238505i \(0.923343\pi\)
\(654\) −511038. + 109803.i −1.19481 + 0.256719i
\(655\) 354693. + 974511.i 0.826742 + 2.27146i
\(656\) −140248. 176282.i −0.325904 0.409638i
\(657\) −1635.97 2833.59i −0.00379006 0.00656457i
\(658\) −182775. + 165303.i −0.422148 + 0.381793i
\(659\) −71047.9 12527.7i −0.163599 0.0288469i 0.0912487 0.995828i \(-0.470914\pi\)
−0.254848 + 0.966981i \(0.582025\pi\)
\(660\) 82736.1 6152.26i 0.189936 0.0141237i
\(661\) 116248. + 97543.8i 0.266062 + 0.223253i 0.766052 0.642779i \(-0.222218\pi\)
−0.499990 + 0.866031i \(0.666663\pi\)
\(662\) −551310. 76242.2i −1.25800 0.173972i
\(663\) 35366.2 97167.9i 0.0804566 0.221053i
\(664\) −431848. + 318142.i −0.979478 + 0.721580i
\(665\) −183651. + 177101.i −0.415289 + 0.400477i
\(666\) −3306.82 1066.39i −0.00745524 0.00240419i
\(667\) 4493.90 12346.9i 0.0101012 0.0277527i
\(668\) 752967. + 363144.i 1.68742 + 0.813817i
\(669\) 43784.3 + 36739.4i 0.0978287 + 0.0820881i
\(670\) −117446. 288854.i −0.261631 0.643470i
\(671\) 46320.1 + 8167.49i 0.102879 + 0.0181403i
\(672\) −171356. 96429.0i −0.379455 0.213535i
\(673\) 189772. + 328695.i 0.418989 + 0.725710i 0.995838 0.0911410i \(-0.0290514\pi\)
−0.576849 + 0.816851i \(0.695718\pi\)
\(674\) −103619. + 3847.24i −0.228096 + 0.00846894i
\(675\) −118855. 326550.i −0.260861 0.716708i
\(676\) −44558.1 + 442715.i −0.0975064 + 0.968793i
\(677\) 50313.8 87146.0i 0.109777 0.190139i −0.805903 0.592047i \(-0.798320\pi\)
0.915680 + 0.401909i \(0.131653\pi\)
\(678\) −197101. 104243.i −0.428774 0.226772i
\(679\) 54731.6 + 65226.6i 0.118713 + 0.141477i
\(680\) 56115.3 886750.i 0.121357 1.91771i
\(681\) −132631. 752186.i −0.285989 1.62193i
\(682\) 28876.5 + 22458.4i 0.0620835 + 0.0482848i
\(683\) 817576.i 1.75262i −0.481751 0.876308i \(-0.659999\pi\)
0.481751 0.876308i \(-0.340001\pi\)
\(684\) 2227.29 + 890.292i 0.00476064 + 0.00190292i
\(685\) −495418. −1.05582
\(686\) −227280. + 292231.i −0.482962 + 0.620981i
\(687\) 708393. 124909.i 1.50093 0.264655i
\(688\) −567528. 223494.i −1.19898 0.472159i
\(689\) −39006.6 + 32730.4i −0.0821673 + 0.0689466i
\(690\) −340534. + 643873.i −0.715257 + 1.35239i
\(691\) 63664.2 + 36756.5i 0.133333 + 0.0769801i 0.565183 0.824966i \(-0.308806\pi\)
−0.431850 + 0.901946i \(0.642139\pi\)
\(692\) 40009.8 397525.i 0.0835516 0.830143i
\(693\) 143.699 52.3023i 0.000299219 0.000108907i
\(694\) −18978.5 511154.i −0.0394043 1.06129i
\(695\) 652172. 376532.i 1.35018 0.779529i
\(696\) 1387.29 + 12409.0i 0.00286384 + 0.0256163i
\(697\) 63876.8 362263.i 0.131485 0.745691i
\(698\) 506004. 205738.i 1.03859 0.422283i
\(699\) 87445.9 104214.i 0.178972 0.213291i
\(700\) 146573. + 70689.8i 0.299128 + 0.144265i
\(701\) −699764. 254693.i −1.42402 0.518301i −0.488808 0.872391i \(-0.662568\pi\)
−0.935211 + 0.354091i \(0.884790\pi\)
\(702\) −24471.3 + 75883.9i −0.0496573 + 0.153984i
\(703\) 626302. 421807.i 1.26728 0.853498i
\(704\) −67692.1 21008.5i −0.136582 0.0423887i
\(705\) −815218. 296715.i −1.64020 0.596982i
\(706\) −46478.2 + 336085.i −0.0932480 + 0.674279i
\(707\) −93537.8 + 111474.i −0.187132 + 0.223015i
\(708\) 510908. 37991.2i 1.01924 0.0757907i
\(709\) 97688.0 554016.i 0.194334 1.10212i −0.719030 0.694979i \(-0.755414\pi\)
0.913364 0.407144i \(-0.133475\pi\)
\(710\) −523939. 579319.i −1.03936 1.14921i
\(711\) −202.909 + 117.149i −0.000401385 + 0.000231740i
\(712\) −411461. 273591.i −0.811649 0.539686i
\(713\) −301798. + 109846.i −0.593659 + 0.216074i
\(714\) −67448.9 313917.i −0.132306 0.615769i
\(715\) 13643.3 + 7876.94i 0.0266874 + 0.0154080i
\(716\) 341370. + 350393.i 0.665886 + 0.683486i
\(717\) 326009. 273554.i 0.634148 0.532113i
\(718\) 180338. 113241.i 0.349815 0.219663i
\(719\) −28670.5 + 5055.38i −0.0554597 + 0.00977904i −0.201309 0.979528i \(-0.564520\pi\)
0.145849 + 0.989307i \(0.453408\pi\)
\(720\) 92.0891 3529.41i 0.000177641 0.00680827i
\(721\) 172063. 0.330991
\(722\) −451236. + 261004.i −0.865625 + 0.500694i
\(723\) 667656.i 1.27725i
\(724\) −288194. 423228.i −0.549805 0.807415i
\(725\) −1794.44 10176.8i −0.00341392 0.0193613i
\(726\) −438359. + 275263.i −0.831681 + 0.522246i
\(727\) 299573. + 357017.i 0.566805 + 0.675491i 0.970972 0.239194i \(-0.0768831\pi\)
−0.404167 + 0.914685i \(0.632439\pi\)
\(728\) −16588.9 33448.8i −0.0313007 0.0631128i
\(729\) 264344. 457858.i 0.497410 0.861540i
\(730\) −219868. 1.02330e6i −0.412588 1.92024i
\(731\) −340660. 935957.i −0.637510 1.75154i
\(732\) 106499. 377686.i 0.198758 0.704869i
\(733\) 128790. + 223070.i 0.239703 + 0.415177i 0.960629 0.277835i \(-0.0896167\pi\)
−0.720926 + 0.693012i \(0.756283\pi\)
\(734\) 103982. + 114972.i 0.193003 + 0.213403i
\(735\) −574905. 101371.i −1.06419 0.187646i
\(736\) 472239. 405212.i 0.871779 0.748043i
\(737\) −31114.9 26108.5i −0.0572840 0.0480670i
\(738\) 200.235 1447.90i 0.000367643 0.00265844i
\(739\) −78426.0 + 215474.i −0.143605 + 0.394553i −0.990554 0.137122i \(-0.956215\pi\)
0.846949 + 0.531675i \(0.178437\pi\)
\(740\) −902054. 649321.i −1.64729 1.18576i
\(741\) 49881.2 + 74064.1i 0.0908450 + 0.134887i
\(742\) −48527.2 + 150480.i −0.0881409 + 0.273319i
\(743\) −188522. + 517961.i −0.341496 + 0.938251i 0.643466 + 0.765475i \(0.277496\pi\)
−0.984961 + 0.172776i \(0.944726\pi\)
\(744\) 210556. 220944.i 0.380384 0.399150i
\(745\) 929782. + 780180.i 1.67521 + 1.40567i
\(746\) −811404. + 329912.i −1.45801 + 0.592816i
\(747\) −3427.55 604.369i −0.00614246 0.00108308i
\(748\) −47541.5 105525.i −0.0849709 0.188605i
\(749\) 140529. + 243404.i 0.250497 + 0.433874i
\(750\) −6540.94 176169.i −0.0116283 0.313189i
\(751\) −30.2909 83.2237i −5.37073e−5 0.000147559i 0.939666 0.342094i \(-0.111136\pi\)
−0.939719 + 0.341946i \(0.888914\pi\)
\(752\) 555130. + 491044.i 0.981655 + 0.868331i
\(753\) 107254. 185769.i 0.189157 0.327629i
\(754\) −1108.49 + 2095.90i −0.00194979 + 0.00368662i
\(755\) 91702.1 + 109286.i 0.160874 + 0.191722i
\(756\) 60953.3 + 239957.i 0.106648 + 0.419846i
\(757\) −105376. 597616.i −0.183886 1.04287i −0.927378 0.374125i \(-0.877943\pi\)
0.743492 0.668745i \(-0.233168\pi\)
\(758\) −412976. + 530995.i −0.718765 + 0.924170i
\(759\) 94879.3i 0.164698i
\(760\) 590685. + 489721.i 1.02265 + 0.847854i
\(761\) 933235. 1.61147 0.805734 0.592278i \(-0.201771\pi\)
0.805734 + 0.592278i \(0.201771\pi\)
\(762\) 91362.4 + 71056.2i 0.157347 + 0.122375i
\(763\) −303513. + 53517.6i −0.521349 + 0.0919279i
\(764\) −613059. + 155728.i −1.05031 + 0.266796i
\(765\) 4416.52 3705.90i 0.00754670 0.00633244i
\(766\) 642764. + 339948.i 1.09545 + 0.579368i
\(767\) 84249.2 + 48641.3i 0.143211 + 0.0826827i
\(768\) −230950. + 544369.i −0.391558 + 0.922935i
\(769\) −734040. + 267169.i −1.24127 + 0.451786i −0.877444 0.479680i \(-0.840753\pi\)
−0.363829 + 0.931466i \(0.618531\pi\)
\(770\) 48883.9 1815.00i