Properties

Label 76.5.l.a.23.2
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 23.2
Character \(\chi\) \(=\) 76.23
Dual form 76.5.l.a.43.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.99725 - 0.148413i) q^{2} +(8.88596 - 1.56683i) q^{3} +(15.9559 + 1.18649i) q^{4} +(-25.4406 + 21.3472i) q^{5} +(-35.7519 + 4.94423i) q^{6} +(-18.4296 - 10.6403i) q^{7} +(-63.6038 - 7.11074i) q^{8} +(0.390232 - 0.142033i) q^{9} +O(q^{10})\) \(q+(-3.99725 - 0.148413i) q^{2} +(8.88596 - 1.56683i) q^{3} +(15.9559 + 1.18649i) q^{4} +(-25.4406 + 21.3472i) q^{5} +(-35.7519 + 4.94423i) q^{6} +(-18.4296 - 10.6403i) q^{7} +(-63.6038 - 7.11074i) q^{8} +(0.390232 - 0.142033i) q^{9} +(104.860 - 81.5542i) q^{10} +(-14.9857 + 8.65201i) q^{11} +(143.643 - 14.4573i) q^{12} +(4.76034 - 26.9972i) q^{13} +(72.0885 + 45.2672i) q^{14} +(-192.616 + 229.551i) q^{15} +(253.185 + 37.8630i) 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} +(61.1857 - 32.3601i) q^{22} +(-390.606 + 465.506i) q^{23} +(-576.322 + 36.4708i) q^{24} +(82.9906 - 470.663i) q^{25} +(-23.0350 + 107.208i) q^{26} +(-629.704 + 363.560i) q^{27} +(-281.437 - 191.643i) q^{28} +(20.3182 - 7.39523i) q^{29} +(804.003 - 888.986i) q^{30} +(457.709 + 264.259i) q^{31} +(-1006.42 - 188.924i) q^{32} +(-119.606 + 100.362i) q^{33} +(1549.01 + 629.817i) q^{34} +(696.001 - 122.724i) q^{35} +(6.39504 - 1.80326i) q^{36} +2091.69 q^{37} +(1226.80 - 761.640i) q^{38} -247.355i q^{39} +(1769.91 - 1176.86i) q^{40} +(152.801 + 866.578i) q^{41} +(711.502 + 289.292i) q^{42} +(-1531.51 - 1825.19i) q^{43} +(-249.377 + 120.271i) q^{44} +(-6.89572 + 11.9437i) q^{45} +(1630.44 - 1802.77i) q^{46} +(990.180 + 2720.50i) q^{47} +(2309.11 - 60.2492i) q^{48} +(-974.066 - 1687.13i) q^{49} +(-401.586 + 1869.04i) q^{50} +(-3714.67 - 654.997i) q^{51} +(107.988 - 425.118i) q^{52} +(-1422.89 - 1193.94i) q^{53} +(2571.04 - 1359.78i) 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} +(-3345.74 + 3434.17i) q^{60} +(2082.21 + 1747.18i) q^{61} +(-1790.36 - 1124.24i) q^{62} +(-8.70310 - 1.53459i) q^{63} +(3994.87 + 904.540i) q^{64} +(455.209 + 788.445i) q^{65} +(492.990 - 383.419i) q^{66} +(802.822 + 2205.73i) q^{67} +(-6098.30 - 2747.43i) q^{68} +(-2741.54 + 4748.49i) q^{69} +(-2800.30 + 387.261i) q^{70} +(3779.58 + 4504.33i) q^{71} +(-25.8302 + 6.25898i) q^{72} +(-1368.17 - 7759.27i) q^{73} +(-8360.99 - 310.433i) q^{74} -4312.32i q^{75} +(-5016.86 + 2862.39i) q^{76} +368.241 q^{77} +(-36.7107 + 988.739i) q^{78} +(555.628 - 97.9723i) q^{79} +(-7249.42 + 4441.52i) q^{80} +(-5051.65 + 4238.84i) q^{81} +(-482.172 - 3486.60i) q^{82} +(7258.15 + 4190.49i) q^{83} +(-2801.11 - 1261.97i) q^{84} +(13045.9 - 4748.33i) q^{85} +(5850.96 + 7523.02i) q^{86} +(168.960 - 97.5490i) q^{87} +(1014.67 - 443.741i) q^{88} +(1340.66 - 7603.29i) q^{89} +(29.3365 - 46.7187i) q^{90} +(-374.991 + 446.897i) q^{91} +(-6784.81 + 6964.14i) 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} +(3643.19 + 6888.45i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.99725 0.148413i −0.999311 0.0371032i
\(3\) 8.88596 1.56683i 0.987329 0.174093i 0.343409 0.939186i \(-0.388418\pi\)
0.643920 + 0.765093i \(0.277307\pi\)
\(4\) 15.9559 + 1.18649i 0.997247 + 0.0741553i
\(5\) −25.4406 + 21.3472i −1.01762 + 0.853887i −0.989327 0.145713i \(-0.953452\pi\)
−0.0282956 + 0.999600i \(0.509008\pi\)
\(6\) −35.7519 + 4.94423i −0.993109 + 0.137340i
\(7\) −18.4296 10.6403i −0.376114 0.217150i 0.300012 0.953935i \(-0.403009\pi\)
−0.676126 + 0.736786i \(0.736343\pi\)
\(8\) −63.6038 7.11074i −0.993809 0.111105i
\(9\) 0.390232 0.142033i 0.00481768 0.00175349i
\(10\) 104.860 81.5542i 1.04860 0.815542i
\(11\) −14.9857 + 8.65201i −0.123849 + 0.0715042i −0.560645 0.828057i \(-0.689447\pi\)
0.436796 + 0.899561i \(0.356113\pi\)
\(12\) 143.643 14.4573i 0.997521 0.100398i
\(13\) 4.76034 26.9972i 0.0281677 0.159747i −0.967479 0.252950i \(-0.918599\pi\)
0.995647 + 0.0932026i \(0.0297104\pi\)
\(14\) 72.0885 + 45.2672i 0.367798 + 0.230955i
\(15\) −192.616 + 229.551i −0.856073 + 1.02023i
\(16\) 253.185 + 37.8630i 0.989002 + 0.147902i
\(17\) −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
\(22\) 61.1857 32.3601i 0.126417 0.0668598i
\(23\) −390.606 + 465.506i −0.738386 + 0.879974i −0.996278 0.0861998i \(-0.972528\pi\)
0.257892 + 0.966174i \(0.416972\pi\)
\(24\) −576.322 + 36.4708i −1.00056 + 0.0633174i
\(25\) 82.9906 470.663i 0.132785 0.753061i
\(26\) −23.0350 + 107.208i −0.0340754 + 0.158592i
\(27\) −629.704 + 363.560i −0.863791 + 0.498710i
\(28\) −281.437 191.643i −0.358976 0.244443i
\(29\) 20.3182 7.39523i 0.0241596 0.00879338i −0.329912 0.944012i \(-0.607019\pi\)
0.354072 + 0.935218i \(0.384797\pi\)
\(30\) 804.003 888.986i 0.893337 0.987762i
\(31\) 457.709 + 264.259i 0.476284 + 0.274983i 0.718867 0.695148i \(-0.244661\pi\)
−0.242582 + 0.970131i \(0.577994\pi\)
\(32\) −1006.42 188.924i −0.982833 0.184496i
\(33\) −119.606 + 100.362i −0.109831 + 0.0921594i
\(34\) 1549.01 + 629.817i 1.33997 + 0.544825i
\(35\) 696.001 122.724i 0.568164 0.100183i
\(36\) 6.39504 1.80326i 0.00493445 0.00139141i
\(37\) 2091.69 1.52789 0.763947 0.645279i \(-0.223259\pi\)
0.763947 + 0.645279i \(0.223259\pi\)
\(38\) 1226.80 761.640i 0.849585 0.527452i
\(39\) 247.355i 0.162627i
\(40\) 1769.91 1176.86i 1.10619 0.735537i
\(41\) 152.801 + 866.578i 0.0908989 + 0.515514i 0.995927 + 0.0901619i \(0.0287385\pi\)
−0.905028 + 0.425352i \(0.860150\pi\)
\(42\) 711.502 + 289.292i 0.403346 + 0.163998i
\(43\) −1531.51 1825.19i −0.828293 0.987121i −0.999998 0.00197305i \(-0.999372\pi\)
0.171705 0.985148i \(-0.445072\pi\)
\(44\) −249.377 + 120.271i −0.128810 + 0.0621233i
\(45\) −6.89572 + 11.9437i −0.00340530 + 0.00589815i
\(46\) 1630.44 1802.77i 0.770527 0.851972i
\(47\) 990.180 + 2720.50i 0.448248 + 1.23155i 0.933943 + 0.357423i \(0.116344\pi\)
−0.485695 + 0.874129i \(0.661433\pi\)
\(48\) 2309.11 60.2492i 1.00222 0.0261498i
\(49\) −974.066 1687.13i −0.405692 0.702679i
\(50\) −401.586 + 1869.04i −0.160634 + 0.747615i
\(51\) −3714.67 654.997i −1.42817 0.251825i
\(52\) 107.988 425.118i 0.0399362 0.157218i
\(53\) −1422.89 1193.94i −0.506545 0.425042i 0.353366 0.935485i \(-0.385037\pi\)
−0.859911 + 0.510443i \(0.829481\pi\)
\(54\) 2571.04 1359.78i 0.881700 0.466317i
\(55\) 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 \(-0.718637\pi\)
0.982790 0.184729i \(-0.0591406\pi\)
\(60\) −3345.74 + 3434.17i −0.929371 + 0.953936i
\(61\) 2082.21 + 1747.18i 0.559584 + 0.469547i 0.878171 0.478347i \(-0.158764\pi\)
−0.318587 + 0.947894i \(0.603208\pi\)
\(62\) −1790.36 1124.24i −0.465754 0.292465i
\(63\) −8.70310 1.53459i −0.00219277 0.000386644i
\(64\) 3994.87 + 904.540i 0.975311 + 0.220835i
\(65\) 455.209 + 788.445i 0.107742 + 0.186614i
\(66\) 492.990 383.419i 0.113175 0.0880208i
\(67\) 802.822 + 2205.73i 0.178842 + 0.491364i 0.996428 0.0844415i \(-0.0269106\pi\)
−0.817586 + 0.575806i \(0.804688\pi\)
\(68\) −6098.30 2747.43i −1.31884 0.594167i
\(69\) −2741.54 + 4748.49i −0.575833 + 0.997371i
\(70\) −2800.30 + 387.261i −0.571490 + 0.0790329i
\(71\) 3779.58 + 4504.33i 0.749768 + 0.893538i 0.997155 0.0753783i \(-0.0240164\pi\)
−0.247387 + 0.968917i \(0.579572\pi\)
\(72\) −25.8302 + 6.25898i −0.00498267 + 0.00120737i
\(73\) −1368.17 7759.27i −0.256740 1.45605i −0.791566 0.611084i \(-0.790734\pi\)
0.534826 0.844962i \(-0.320377\pi\)
\(74\) −8360.99 310.433i −1.52684 0.0566898i
\(75\) 4312.32i 0.766636i
\(76\) −5016.86 + 2862.39i −0.868570 + 0.495566i
\(77\) 368.241 0.0621085
\(78\) −36.7107 + 988.739i −0.00603397 + 0.162515i
\(79\) 555.628 97.9723i 0.0890287 0.0156982i −0.128956 0.991650i \(-0.541163\pi\)
0.217985 + 0.975952i \(0.430052\pi\)
\(80\) −7249.42 + 4441.52i −1.13272 + 0.693987i
\(81\) −5051.65 + 4238.84i −0.769952 + 0.646066i
\(82\) −482.172 3486.60i −0.0717091 0.518531i
\(83\) 7258.15 + 4190.49i 1.05358 + 0.608287i 0.923651 0.383235i \(-0.125190\pi\)
0.129934 + 0.991523i \(0.458523\pi\)
\(84\) −2801.11 1261.97i −0.396983 0.178850i
\(85\) 13045.9 4748.33i 1.80566 0.657208i
\(86\) 5850.96 + 7523.02i 0.791098 + 1.01717i
\(87\) 168.960 97.5490i 0.0223226 0.0128880i
\(88\) 1014.67 443.741i 0.131027 0.0573012i
\(89\) 1340.66 7603.29i 0.169254 0.959890i −0.775314 0.631576i \(-0.782408\pi\)
0.944569 0.328314i \(-0.106480\pi\)
\(90\) 29.3365 46.7187i 0.00362179 0.00576774i
\(91\) −374.991 + 446.897i −0.0452833 + 0.0539665i
\(92\) −6784.81 + 6964.14i −0.801608 + 0.822796i
\(93\) 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 \(0.542910\pi\)
\(98\) 3643.19 + 6888.45i 0.379341 + 0.717248i
\(99\) −4.61904 + 5.50475i −0.000471282 + 0.000561652i
\(100\) 1882.63 7411.41i 0.188263 0.741141i
\(101\) −1187.42 + 6734.19i −0.116402 + 0.660150i 0.869644 + 0.493679i \(0.164348\pi\)
−0.986046 + 0.166471i \(0.946763\pi\)
\(102\) 14751.3 + 3169.49i 1.41784 + 0.304642i
\(103\) −7002.15 + 4042.70i −0.660020 + 0.381063i −0.792285 0.610152i \(-0.791108\pi\)
0.132265 + 0.991214i \(0.457775\pi\)
\(104\) −494.746 + 1683.28i −0.0457420 + 0.155628i
\(105\) 5992.35 2181.04i 0.543523 0.197826i
\(106\) 5510.43 + 4983.66i 0.490426 + 0.443544i
\(107\) −11437.8 6603.61i −0.999020 0.576785i −0.0910620 0.995845i \(-0.529026\pi\)
−0.907958 + 0.419061i \(0.862359\pi\)
\(108\) −10478.9 + 5053.80i −0.898395 + 0.433282i
\(109\) −11094.2 + 9309.11i −0.933774 + 0.783529i −0.976491 0.215558i \(-0.930843\pi\)
0.0427172 + 0.999087i \(0.486399\pi\)
\(110\) −865.801 + 2129.40i −0.0715538 + 0.175983i
\(111\) 18586.7 3277.33i 1.50853 0.265995i
\(112\) −4263.22 3391.77i −0.339861 0.270390i
\(113\) −6177.78 −0.483811 −0.241905 0.970300i \(-0.577772\pi\)
−0.241905 + 0.970300i \(0.577772\pi\)
\(114\) 9707.94 8690.10i 0.746994 0.668675i
\(115\) 20181.1i 1.52598i
\(116\) 332.971 93.8906i 0.0247452 0.00697760i
\(117\) −1.97686 11.2113i −0.000144412 0.000819002i
\(118\) −5346.45 + 13149.4i −0.383974 + 0.944368i
\(119\) 5718.33 + 6814.84i 0.403808 + 0.481240i
\(120\) 13883.4 13230.7i 0.964125 0.918797i
\(121\) −7170.79 + 12420.2i −0.489774 + 0.848314i
\(122\) −8063.82 7292.95i −0.541777 0.489986i
\(123\) 2715.57 + 7460.97i 0.179494 + 0.493157i
\(124\) 6989.65 + 4759.56i 0.454582 + 0.309545i
\(125\) −2442.22 4230.06i −0.156302 0.270724i
\(126\) 34.5607 + 7.42579i 0.00217691 + 0.000467737i
\(127\) −3158.11 556.860i −0.195803 0.0345254i 0.0748864 0.997192i \(-0.476141\pi\)
−0.270690 + 0.962667i \(0.587252\pi\)
\(128\) −15834.3 4208.56i −0.966446 0.256870i
\(129\) −16468.7 13818.9i −0.989649 0.830414i
\(130\) −1702.57 3219.17i −0.100744 0.190483i
\(131\) −10680.2 + 29343.7i −0.622354 + 1.70990i 0.0787968 + 0.996891i \(0.474892\pi\)
−0.701151 + 0.713013i \(0.747330\pi\)
\(132\) −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
\(136\) 23968.6 + 11887.2i 1.29588 + 0.642691i
\(137\) 11427.6 + 9588.86i 0.608853 + 0.510888i 0.894277 0.447513i \(-0.147690\pi\)
−0.285425 + 0.958401i \(0.592135\pi\)
\(138\) 11663.3 18574.0i 0.612442 0.975319i
\(139\) 22331.1 + 3937.58i 1.15580 + 0.203798i 0.718505 0.695522i \(-0.244827\pi\)
0.437291 + 0.899320i \(0.355938\pi\)
\(140\) 11251.0 1132.38i 0.574028 0.0577744i
\(141\) 13061.3 + 22622.8i 0.656972 + 1.13791i
\(142\) −14439.4 18565.8i −0.716098 0.920742i
\(143\) 162.243 + 445.759i 0.00793404 + 0.0217986i
\(144\) 104.179 21.1852i 0.00502404 0.00102166i
\(145\) −359.040 + 621.875i −0.0170768 + 0.0295779i
\(146\) 4317.33 + 31218.8i 0.202539 + 1.46457i
\(147\) −11299.0 13465.6i −0.522883 0.623147i
\(148\) 33374.9 + 2481.76i 1.52369 + 0.113302i
\(149\) −6346.36 35992.0i −0.285859 1.62119i −0.702200 0.711980i \(-0.747799\pi\)
0.416341 0.909209i \(-0.363312\pi\)
\(150\) −640.004 + 17237.4i −0.0284446 + 0.766108i
\(151\) 4295.75i 0.188402i 0.995553 + 0.0942009i \(0.0300296\pi\)
−0.995553 + 0.0942009i \(0.969970\pi\)
\(152\) 20478.4 10697.1i 0.886359 0.462998i
\(153\) −173.602 −0.00741602
\(154\) −1471.95 54.6517i −0.0620657 0.00230442i
\(155\) −17285.6 + 3047.91i −0.719482 + 0.126864i
\(156\) 293.483 3946.78i 0.0120596 0.162179i
\(157\) 11822.2 9919.98i 0.479621 0.402449i −0.370669 0.928765i \(-0.620871\pi\)
0.850289 + 0.526316i \(0.176427\pi\)
\(158\) −2235.52 + 309.157i −0.0895499 + 0.0123841i
\(159\) −14514.4 8379.90i −0.574123 0.331470i
\(160\) 29636.9 16677.9i 1.15769 0.651481i
\(161\) 12151.9 4422.91i 0.468804 0.170631i
\(162\) 20821.8 16194.0i 0.793393 0.617054i
\(163\) −30351.1 + 17523.2i −1.14235 + 0.659537i −0.947012 0.321199i \(-0.895914\pi\)
−0.195339 + 0.980736i \(0.562581\pi\)
\(164\) 1409.90 + 14008.4i 0.0524206 + 0.520835i
\(165\) 900.415 5106.51i 0.0330731 0.187567i
\(166\) −28390.7 17827.6i −1.03029 0.646960i
\(167\) −33584.1 + 40024.0i −1.20421 + 1.43512i −0.333900 + 0.942608i \(0.608365\pi\)
−0.870307 + 0.492510i \(0.836080\pi\)
\(168\) 11009.4 + 5460.12i 0.390074 + 0.193456i
\(169\) 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 \(0.748089\pi\)
\(174\) −689.852 + 364.852i −0.0227854 + 0.0120509i
\(175\) −6537.50 + 7791.08i −0.213469 + 0.254403i
\(176\) −4121.74 + 1623.15i −0.133062 + 0.0524002i
\(177\) 5560.20 31533.5i 0.177478 1.00653i
\(178\) −6487.39 + 30193.2i −0.204753 + 0.952949i
\(179\) −26478.3 + 15287.3i −0.826389 + 0.477116i −0.852615 0.522540i \(-0.824984\pi\)
0.0262260 + 0.999656i \(0.491651\pi\)
\(180\) −124.199 + 182.392i −0.00383330 + 0.00562939i
\(181\) −30072.1 + 10945.3i −0.917924 + 0.334097i −0.757412 0.652937i \(-0.773537\pi\)
−0.160511 + 0.987034i \(0.551314\pi\)
\(182\) 1565.26 1730.70i 0.0472544 0.0522492i
\(183\) 21240.0 + 12262.9i 0.634239 + 0.366178i
\(184\) 28154.1 26830.4i 0.831584 0.792487i
\(185\) −53213.7 + 44651.6i −1.55482 + 1.30465i
\(186\) −17670.5 7184.73i −0.510768 0.207675i
\(187\) 7123.85 1256.13i 0.203719 0.0359212i
\(188\) 12571.4 + 44582.9i 0.355688 + 1.26140i
\(189\) 15473.6 0.433179
\(190\) −14951.6 + 45565.3i −0.414173 + 1.26220i
\(191\) 39533.0i 1.08366i −0.840488 0.541830i \(-0.817732\pi\)
0.840488 0.541830i \(-0.182268\pi\)
\(192\) 36915.6 + 1778.40i 1.00140 + 0.0482421i
\(193\) −8986.77 50966.5i −0.241262 1.36826i −0.829016 0.559225i \(-0.811099\pi\)
0.587754 0.809040i \(-0.300012\pi\)
\(194\) −14826.0 6028.14i −0.393930 0.160170i
\(195\) 5280.33 + 6292.85i 0.138865 + 0.165492i
\(196\) −13540.4 28075.5i −0.352468 0.730829i
\(197\) 1448.88 2509.53i 0.0373336 0.0646636i −0.846755 0.531983i \(-0.821447\pi\)
0.884088 + 0.467320i \(0.154780\pi\)
\(198\) 19.2804 21.3183i 0.000491797 0.000543780i
\(199\) 21756.2 + 59774.5i 0.549384 + 1.50942i 0.834545 + 0.550940i \(0.185731\pi\)
−0.285161 + 0.958480i \(0.592047\pi\)
\(200\) −8625.27 + 29345.8i −0.215632 + 0.733645i
\(201\) 10589.9 + 18342.2i 0.262119 + 0.454003i
\(202\) 5745.85 26742.0i 0.140816 0.655377i
\(203\) −453.145 79.9016i −0.0109963 0.00193894i
\(204\) −58494.0 14858.5i −1.40557 0.357038i
\(205\) −22386.3 18784.4i −0.532691 0.446981i
\(206\) 28589.3 15120.4i 0.673704 0.356312i
\(207\) −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 \(0.287198\pi\)
−0.979238 + 0.202714i \(0.935024\pi\)
\(212\) −21286.9 20738.7i −0.473631 0.461435i
\(213\) 40642.7 + 34103.3i 0.895826 + 0.751687i
\(214\) 44739.6 + 28093.8i 0.976932 + 0.613454i
\(215\) 77925.2 + 13740.3i 1.68578 + 0.297248i
\(216\) 42636.7 18646.1i 0.913852 0.399651i
\(217\) −5623.60 9740.36i −0.119425 0.206850i
\(218\) 45727.7 35564.3i 0.962202 0.748344i
\(219\) −24315.0 66804.9i −0.506974 1.39290i
\(220\) 3776.85 8383.24i 0.0780340 0.173207i
\(221\) −5729.99 + 9924.64i −0.117319 + 0.203203i
\(222\) −74781.8 + 10341.8i −1.51737 + 0.209841i
\(223\) 4071.73 + 4852.50i 0.0818784 + 0.0975789i 0.805428 0.592693i \(-0.201935\pi\)
−0.723550 + 0.690272i \(0.757491\pi\)
\(224\) 16537.7 + 14190.4i 0.329595 + 0.282813i
\(225\) −34.4640 195.455i −0.000680771 0.00386084i
\(226\) 24694.1 + 916.862i 0.483477 + 0.0179509i
\(227\) 84648.8i 1.64274i −0.570396 0.821370i \(-0.693210\pi\)
0.570396 0.821370i \(-0.306790\pi\)
\(228\) −40094.7 + 33295.7i −0.771290 + 0.640499i
\(229\) −79720.5 −1.52019 −0.760097 0.649810i \(-0.774848\pi\)
−0.760097 + 0.649810i \(0.774848\pi\)
\(230\) −2995.13 + 80668.7i −0.0566187 + 1.52493i
\(231\) 3272.18 576.973i 0.0613215 0.0108126i
\(232\) −1344.90 + 325.887i −0.0249870 + 0.00605467i
\(233\) −11549.8 + 9691.40i −0.212746 + 0.178515i −0.742933 0.669366i \(-0.766566\pi\)
0.530187 + 0.847881i \(0.322122\pi\)
\(234\) 6.23808 + 45.1078i 0.000113925 + 0.000823796i
\(235\) −83265.6 48073.4i −1.50775 0.870501i
\(236\) 23322.6 51767.8i 0.418749 0.929471i
\(237\) 4783.78 1741.16i 0.0851677 0.0309985i
\(238\) −21846.2 28089.3i −0.385675 0.495891i
\(239\) 40846.3 23582.6i 0.715084 0.412854i −0.0978568 0.995201i \(-0.531199\pi\)
0.812941 + 0.582347i \(0.197865\pi\)
\(240\) −57459.0 + 50825.8i −0.997552 + 0.882392i
\(241\) −12849.0 + 72870.4i −0.221226 + 1.25463i 0.648544 + 0.761177i \(0.275378\pi\)
−0.869770 + 0.493458i \(0.835733\pi\)
\(242\) 30506.7 48582.2i 0.520912 0.829558i
\(243\) −389.187 + 463.815i −0.00659091 + 0.00785474i
\(244\) 31150.7 + 30348.5i 0.523224 + 0.509750i
\(245\) 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
\(250\) 9134.38 + 17271.0i 0.146150 + 0.276337i
\(251\) 15281.2 18211.4i 0.242554 0.289065i −0.631009 0.775776i \(-0.717359\pi\)
0.873563 + 0.486710i \(0.161803\pi\)
\(252\) −137.045 34.8120i −0.00215806 0.000548185i
\(253\) 1825.95 10355.5i 0.0285264 0.161781i
\(254\) 12541.1 + 2694.61i 0.194387 + 0.0417665i
\(255\) 108486. 62634.3i 1.66837 0.963234i
\(256\) 62668.8 + 19172.6i 0.956250 + 0.292551i
\(257\) 82551.4 30046.3i 1.24985 0.454909i 0.369500 0.929231i \(-0.379529\pi\)
0.880351 + 0.474322i \(0.157307\pi\)
\(258\) 63778.7 + 57681.8i 0.958156 + 0.866561i
\(259\) −38549.0 22256.3i −0.574663 0.331782i
\(260\) 6327.81 + 13120.5i 0.0936066 + 0.194090i
\(261\) 6.87846 5.77171i 0.000100974 8.47274e-5i
\(262\) 47046.4 115709.i 0.685368 1.68563i
\(263\) 80381.7 14173.5i 1.16211 0.204911i 0.440851 0.897580i \(-0.354677\pi\)
0.721255 + 0.692669i \(0.243566\pi\)
\(264\) 8321.05 5532.88i 0.119391 0.0793859i
\(265\) 61686.3 0.878409
\(266\) −30713.6 + 983.152i −0.434077 + 0.0138950i
\(267\) 69663.1i 0.977193i
\(268\) 10192.7 + 36147.1i 0.141912 + 0.503274i
\(269\) 5422.46 + 30752.3i 0.0749362 + 0.424984i 0.999078 + 0.0429345i \(0.0136707\pi\)
−0.924142 + 0.382050i \(0.875218\pi\)
\(270\) −36381.2 + 89478.0i −0.499056 + 1.22741i
\(271\) 72941.3 + 86928.1i 0.993197 + 1.18365i 0.982983 + 0.183698i \(0.0588067\pi\)
0.0102137 + 0.999948i \(0.496749\pi\)
\(272\) −94044.4 51073.4i −1.27114 0.690330i
\(273\) −2631.94 + 4558.66i −0.0353143 + 0.0611662i
\(274\) −44255.6 40025.0i −0.589478 0.533127i
\(275\) 2828.51 + 7771.26i 0.0374017 + 0.102760i
\(276\) −49377.9 + 72513.8i −0.648208 + 0.951924i
\(277\) −59088.1 102344.i −0.770089 1.33383i −0.937514 0.347948i \(-0.886879\pi\)
0.167425 0.985885i \(-0.446455\pi\)
\(278\) −88678.6 19053.7i −1.14744 0.246541i
\(279\) 216.146 + 38.1124i 0.00277677 + 0.000489619i
\(280\) −45140.9 + 2856.61i −0.575777 + 0.0364363i
\(281\) 82106.1 + 68895.2i 1.03983 + 0.872521i 0.991988 0.126333i \(-0.0403209\pi\)
0.0478427 + 0.998855i \(0.484765\pi\)
\(282\) −48851.6 92367.3i −0.614300 1.16150i
\(283\) 16456.4 45213.7i 0.205477 0.564543i −0.793557 0.608496i \(-0.791773\pi\)
0.999034 + 0.0439532i \(0.0139953\pi\)
\(284\) 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
\(288\) −419.571 + 69.2209i −0.00505849 + 0.000834550i
\(289\) 69890.3 + 58644.9i 0.836799 + 0.702158i
\(290\) 1527.47 2432.50i 0.0181625 0.0289239i
\(291\) 35554.1 + 6269.15i 0.419859 + 0.0740325i
\(292\) −12624.2 125430.i −0.148060 1.47108i
\(293\) −57891.1 100270.i −0.674336 1.16798i −0.976662 0.214780i \(-0.931096\pi\)
0.302326 0.953205i \(-0.402237\pi\)
\(294\) 43166.3 + 55502.2i 0.499402 + 0.642119i
\(295\) 40308.1 + 110745.i 0.463178 + 1.27257i
\(296\) −133039. 14873.5i −1.51844 0.169757i
\(297\) 6291.04 10896.4i 0.0713197 0.123529i
\(298\) 20026.3 + 144811.i 0.225511 + 1.63068i
\(299\) 10708.0 + 12761.3i 0.119775 + 0.142742i
\(300\) 5116.51 68807.2i 0.0568501 0.764525i
\(301\) 8804.59 + 49933.3i 0.0971798 + 0.551134i
\(302\) 637.544 17171.2i 0.00699031 0.188272i
\(303\) 61700.3i 0.672050i
\(304\) −83445.0 + 39719.7i −0.902928 + 0.429793i
\(305\) −90270.1 −0.970386
\(306\) 693.928 + 25.7647i 0.00741091 + 0.000275158i
\(307\) −160344. + 28272.9i −1.70128 + 0.299981i −0.938140 0.346256i \(-0.887453\pi\)
−0.763137 + 0.646237i \(0.776342\pi\)
\(308\) 5875.64 + 436.913i 0.0619375 + 0.00460567i
\(309\) −55886.6 + 46894.4i −0.585317 + 0.491139i
\(310\) 69547.0 9617.84i 0.723694 0.100082i
\(311\) −79467.2 45880.4i −0.821613 0.474359i 0.0293593 0.999569i \(-0.490653\pi\)
−0.850972 + 0.525210i \(0.823987\pi\)
\(312\) −1758.88 + 15732.7i −0.0180687 + 0.161620i
\(313\) −135190. + 49205.1i −1.37993 + 0.502252i −0.922156 0.386819i \(-0.873574\pi\)
−0.457770 + 0.889071i \(0.651352\pi\)
\(314\) −48728.4 + 37898.0i −0.494223 + 0.384377i
\(315\) 254.171 146.746i 0.00256156 0.00147892i
\(316\) 8981.82 903.995i 0.0899477 0.00905299i
\(317\) −20059.9 + 113765.i −0.199623 + 1.13212i 0.706057 + 0.708155i \(0.250472\pi\)
−0.905680 + 0.423962i \(0.860639\pi\)
\(318\) 56774.0 + 35650.6i 0.561429 + 0.352544i
\(319\) −240.500 + 286.616i −0.00236338 + 0.00281656i
\(320\) −120941. + 62267.3i −1.18107 + 0.608079i
\(321\) −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
\(326\) 123922. 65540.2i 1.16604 0.616698i
\(327\) −83996.5 + 100103.i −0.785535 + 0.936165i
\(328\) −3556.71 56204.2i −0.0330599 0.522421i
\(329\) 10698.4 60673.5i 0.0988385 0.560541i
\(330\) −4357.05 + 20278.3i −0.0400097 + 0.186211i
\(331\) −120498. + 69569.6i −1.09983 + 0.634985i −0.936175 0.351534i \(-0.885660\pi\)
−0.163651 + 0.986518i \(0.552327\pi\)
\(332\) 110839. + 75475.0i 1.00558 + 0.684742i
\(333\) 816.244 297.088i 0.00736091 0.00267915i
\(334\) 140184. 155001.i 1.25663 1.38945i
\(335\) −67510.4 38977.2i −0.601563 0.347313i
\(336\) −43197.1 23459.4i −0.382627 0.207796i
\(337\) 19857.8 16662.7i 0.174852 0.146719i −0.551162 0.834399i \(-0.685815\pi\)
0.726014 + 0.687680i \(0.241371\pi\)
\(338\) −103046. 41897.8i −0.901981 0.366740i
\(339\) −54895.5 + 9679.56i −0.477680 + 0.0842279i
\(340\) 213794. 60285.3i 1.84943 0.521499i
\(341\) −9145.47 −0.0786497
\(342\) 370.559 471.462i 0.00316815 0.00403083i
\(343\) 92552.5i 0.786683i
\(344\) 84431.6 + 126979.i 0.713491 + 1.07304i
\(345\) −31620.4 179328.i −0.265662 1.50664i
\(346\) 92527.6 + 37621.1i 0.772892 + 0.314253i
\(347\) −82197.4 97959.1i −0.682652 0.813553i 0.307794 0.951453i \(-0.400409\pi\)
−0.990446 + 0.137900i \(0.955965\pi\)
\(348\) 2811.66 1356.02i 0.0232169 0.0111971i
\(349\) −68278.9 + 118263.i −0.560577 + 0.970949i 0.436869 + 0.899525i \(0.356087\pi\)
−0.997446 + 0.0714233i \(0.977246\pi\)
\(350\) 27288.3 30172.6i 0.222761 0.246307i
\(351\) 6817.50 + 18730.9i 0.0553364 + 0.152036i
\(352\) 16716.5 5876.41i 0.134915 0.0474271i
\(353\) −42410.5 73457.1i −0.340348 0.589500i 0.644149 0.764900i \(-0.277212\pi\)
−0.984497 + 0.175400i \(0.943878\pi\)
\(354\) −26905.5 + 125222.i −0.214701 + 0.999249i
\(355\) −192309. 33909.3i −1.52596 0.269068i
\(356\) 30412.8 119727.i 0.239969 0.944696i
\(357\) 61490.6 + 51596.7i 0.482472 + 0.404842i
\(358\) 108109. 57177.2i 0.843522 0.446125i
\(359\) 18207.8 50025.6i 0.141276 0.388153i −0.848795 0.528723i \(-0.822671\pi\)
0.990071 + 0.140570i \(0.0448934\pi\)
\(360\) 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
\(364\) −6513.57 + 6685.74i −0.0491605 + 0.0504599i
\(365\) 200445. + 168194.i 1.50456 + 1.26248i
\(366\) −83081.6 52170.2i −0.620216 0.389458i
\(367\) 38165.9 + 6729.68i 0.283363 + 0.0499646i 0.313523 0.949580i \(-0.398491\pi\)
−0.0301601 + 0.999545i \(0.509602\pi\)
\(368\) −116521. + 103069.i −0.860415 + 0.761087i
\(369\) 182.710 + 316.464i 0.00134187 + 0.00232419i
\(370\) 219335. 170586.i 1.60216 1.24606i
\(371\) 13519.3 + 37143.9i 0.0982212 + 0.269860i
\(372\) 69567.2 + 31341.7i 0.502711 + 0.226483i
\(373\) 109489. 189640.i 0.786958 1.36305i −0.140864 0.990029i \(-0.544988\pi\)
0.927822 0.373022i \(-0.121679\pi\)
\(374\) −28662.2 + 3963.78i −0.204912 + 0.0283378i
\(375\) −28329.3 33761.6i −0.201453 0.240082i
\(376\) −43634.4 180075.i −0.308641 1.27373i
\(377\) −102.929 583.740i −0.000724195 0.00410711i
\(378\) −61851.7 2296.48i −0.432881 0.0160723i
\(379\) 168171.i 1.17077i 0.810754 + 0.585387i \(0.199058\pi\)
−0.810754 + 0.585387i \(0.800942\pi\)
\(380\) 66527.9 179917.i 0.460719 1.24596i
\(381\) −28935.3 −0.199333
\(382\) −5867.21 + 158023.i −0.0402073 + 1.08291i
\(383\) 179019. 31565.9i 1.22040 0.215190i 0.473903 0.880577i \(-0.342845\pi\)
0.746498 + 0.665388i \(0.231734\pi\)
\(384\) −147297. 12587.4i −0.998919 0.0853639i
\(385\) −9368.26 + 7860.90i −0.0632030 + 0.0530336i
\(386\) 28358.2 + 205059.i 0.190329 + 1.37627i
\(387\) −856.883 494.721i −0.00572136 0.00330323i
\(388\) 58368.4 + 26296.3i 0.387716 + 0.174675i
\(389\) 38572.8 14039.4i 0.254907 0.0927787i −0.211406 0.977398i \(-0.567804\pi\)
0.466313 + 0.884620i \(0.345582\pi\)
\(390\) −20172.8 25937.7i −0.132629 0.170531i
\(391\) 219998. 127016.i 1.43901 0.830815i
\(392\) 49957.5 + 114234.i 0.325109 + 0.743403i
\(393\) −48927.3 + 277481.i −0.316786 + 1.79658i
\(394\) −6163.97 + 9816.18i −0.0397071 + 0.0632339i
\(395\) −12044.1 + 14353.6i −0.0771932 + 0.0919952i
\(396\) −80.2324 + 82.3532i −0.000511634 + 0.000525158i
\(397\) −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 \(0.660099\pi\)
\(402\) −39608.1 74889.9i −0.245093 0.463416i
\(403\) 9313.10 11098.9i 0.0573435 0.0683393i
\(404\) −26936.4 + 106042.i −0.165035 + 0.649701i
\(405\) 38029.7 215677.i 0.231853 1.31490i
\(406\) 1799.47 + 386.639i 0.0109167 + 0.00234560i
\(407\) −31345.4 + 18097.3i −0.189228 + 0.109251i
\(408\) 231610. + 68074.4i 1.39135 + 0.408944i
\(409\) 29371.1 10690.2i 0.175579 0.0639056i −0.252735 0.967536i \(-0.581330\pi\)
0.428314 + 0.903630i \(0.359108\pi\)
\(410\) 86695.8 + 78408.1i 0.515740 + 0.466438i
\(411\) 116569. + 67301.1i 0.690080 + 0.398418i
\(412\) −116523. + 56197.1i −0.686461 + 0.331070i
\(413\) −57850.4 + 48542.3i −0.339162 + 0.284590i
\(414\) 380.195 935.075i 0.00221823 0.00545564i
\(415\) −274106. + 48332.4i −1.59156 + 0.280635i
\(416\) −9891.32 + 26271.3i −0.0571568 + 0.151808i
\(417\) 204603. 1.17663
\(418\) −11794.8 + 22028.0i −0.0675052 + 0.126073i
\(419\) 19115.8i 0.108884i −0.998517 0.0544421i \(-0.982662\pi\)
0.998517 0.0544421i \(-0.0173380\pi\)
\(420\) 98201.3 27690.7i 0.556697 0.156977i
\(421\) 17326.5 + 98263.5i 0.0977568 + 0.554406i 0.993868 + 0.110576i \(0.0352696\pi\)
−0.896111 + 0.443830i \(0.853619\pi\)
\(422\) 70483.9 173352.i 0.395790 0.973429i
\(423\) 772.800 + 920.987i 0.00431903 + 0.00514722i
\(424\) 82011.0 + 86057.0i 0.456185 + 0.478690i
\(425\) −99895.3 + 173024.i −0.553053 + 0.957917i
\(426\) −157398. 142351.i −0.867319 0.784408i
\(427\) −19783.7 54355.4i −0.108506 0.298117i
\(428\) −174666. 118938.i −0.953498 0.649279i
\(429\) 2140.12 + 3706.79i 0.0116285 + 0.0201411i
\(430\) −309447. 66488.5i −1.67359 0.359592i
\(431\) −200895. 35423.3i −1.08147 0.190693i −0.395606 0.918420i \(-0.629465\pi\)
−0.685866 + 0.727728i \(0.740577\pi\)
\(432\) −173197. + 68205.2i −0.928052 + 0.365469i
\(433\) −204129. 171285.i −1.08875 0.913572i −0.0921344 0.995747i \(-0.529369\pi\)
−0.996618 + 0.0821749i \(0.973813\pi\)
\(434\) 21033.3 + 39769.2i 0.111668 + 0.211139i
\(435\) −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 −0.998172 0.0604425i \(-0.980749\pi\)
0.803496 + 0.595311i \(0.202971\pi\)
\(440\) −16341.2 + 32949.3i −0.0844069 + 0.170193i
\(441\) −619.740 520.024i −0.00318664 0.00267391i
\(442\) 24377.1 38820.8i 0.124778 0.198710i
\(443\) −29637.0 5225.80i −0.151017 0.0266284i 0.0976284 0.995223i \(-0.468874\pi\)
−0.248646 + 0.968595i \(0.579985\pi\)
\(444\) 300456. 30240.1i 1.52411 0.153397i
\(445\) 128201. + 222051.i 0.647400 + 1.12133i
\(446\) −15555.5 20000.9i −0.0782016 0.100550i
\(447\) −112787. 309880.i −0.564474 1.55088i
\(448\) −63999.4 59177.1i −0.318874 0.294848i
\(449\) 6013.06 10414.9i 0.0298266 0.0516611i −0.850727 0.525608i \(-0.823838\pi\)
0.880553 + 0.473947i \(0.157171\pi\)
\(450\) 108.753 + 786.397i 0.000537052 + 0.00388344i
\(451\) −9787.48 11664.3i −0.0481191 0.0573461i
\(452\) −98572.3 7329.84i −0.482479 0.0358771i
\(453\) 6730.73 + 38171.9i 0.0327994 + 0.186015i
\(454\) −12563.0 + 338362.i −0.0609509 + 1.64161i
\(455\) 19374.3i 0.0935843i
\(456\) 165210. 127140.i 0.794524 0.611440i
\(457\) 107165. 0.513120 0.256560 0.966528i \(-0.417411\pi\)
0.256560 + 0.966528i \(0.417411\pi\)
\(458\) 318662. + 11831.5i 1.51915 + 0.0564041i
\(459\) 299346. 52782.8i 1.42085 0.250534i
\(460\) 23944.5 322008.i 0.113159 1.52178i
\(461\) 158725. 133186.i 0.746866 0.626695i −0.187806 0.982206i \(-0.560138\pi\)
0.934672 + 0.355511i \(0.115693\pi\)
\(462\) −13165.3 + 1820.67i −0.0616804 + 0.00852996i
\(463\) 128149. + 73986.8i 0.597796 + 0.345138i 0.768174 0.640241i \(-0.221166\pi\)
−0.170378 + 0.985379i \(0.554499\pi\)
\(464\) 5424.27 1103.05i 0.0251945 0.00512341i
\(465\) −148823. + 54167.2i −0.688279 + 0.250513i
\(466\) 47605.6 37024.8i 0.219223 0.170499i
\(467\) −9485.12 + 5476.23i −0.0434920 + 0.0251101i −0.521588 0.853197i \(-0.674660\pi\)
0.478096 + 0.878307i \(0.341327\pi\)
\(468\) −18.2406 181.233i −8.32811e−5 0.000827455i
\(469\) 8674.07 49193.1i 0.0394346 0.223645i
\(470\) 325698. + 204519.i 1.47442 + 0.925844i
\(471\) 89508.4 106672.i 0.403480 0.480849i
\(472\) −100909. + 203467.i −0.452947 + 0.913294i
\(473\) 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
\(478\) −166773. + 88203.4i −0.729910 + 0.386038i
\(479\) 88357.8 105301.i 0.385100 0.458945i −0.538317 0.842743i \(-0.680940\pi\)
0.923417 + 0.383798i \(0.125384\pi\)
\(480\) 237221. 194636.i 1.02960 0.844772i
\(481\) 9957.15 56469.8i 0.0430373 0.244077i
\(482\) 62175.6 289374.i 0.267625 1.24556i
\(483\) 101051. 58341.8i 0.433158 0.250084i
\(484\) −129153. + 189667.i −0.551333 + 0.809659i
\(485\) −124866. + 45447.5i −0.530836 + 0.193209i
\(486\) 1624.51 1796.22i 0.00687781 0.00760479i
\(487\) 146368. + 84505.5i 0.617145 + 0.356309i 0.775757 0.631032i \(-0.217368\pi\)
−0.158611 + 0.987341i \(0.550702\pi\)
\(488\) −120013. 125934.i −0.503951 0.528813i
\(489\) −242243. + 203266.i −1.01306 + 0.850055i
\(490\) −239734. 97474.2i −0.998474 0.405973i
\(491\) 9997.42 1762.81i 0.0414691 0.00731213i −0.152875 0.988246i \(-0.548853\pi\)
0.194344 + 0.980933i \(0.437742\pi\)
\(492\) 34477.2 + 122269.i 0.142430 + 0.505109i
\(493\) −9038.92 −0.0371897
\(494\) −14722.2 36745.9i −0.0603279 0.150576i
\(495\) 238.647i 0.000973972i
\(496\) 105879. + 84236.4i 0.430376 + 0.342402i
\(497\) −21728.6 123229.i −0.0879668 0.498884i
\(498\) −280211. 113932.i −1.12987 0.459396i
\(499\) −225936. 269260.i −0.907370 1.08136i −0.996353 0.0853283i \(-0.972806\pi\)
0.0889829 0.996033i \(-0.471638\pi\)
\(500\) −33949.1 70392.2i −0.135796 0.281569i
\(501\) −235716. + 408273.i −0.939105 + 1.62658i
\(502\) −63785.4 + 70527.5i −0.253113 + 0.279867i
\(503\) 25097.5 + 68954.8i 0.0991961 + 0.272539i 0.979358 0.202135i \(-0.0647881\pi\)
−0.880162 + 0.474674i \(0.842566\pi\)
\(504\) 542.638 + 159.491i 0.00213623 + 0.000627879i
\(505\) −113547. 196670.i −0.445240 0.771178i
\(506\) −8835.65 + 41122.4i −0.0345094 + 0.160612i
\(507\) 247114. + 43572.9i 0.961350 + 0.169512i
\(508\) −49729.9 12632.3i −0.192704 0.0489502i
\(509\) 358198. + 300563.i 1.38257 + 1.16011i 0.968251 + 0.249982i \(0.0804247\pi\)
0.414319 + 0.910132i \(0.364020\pi\)
\(510\) −442940. + 234264.i −1.70296 + 0.900669i
\(511\) −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
\(516\) −246378. 240034.i −0.925344 0.901515i
\(517\) −38376.3 32201.5i −0.143576 0.120475i
\(518\) 150787. + 94684.9i 0.561957 + 0.352875i
\(519\) −221890. 39125.2i −0.823765 0.145252i
\(520\) −23346.6 53384.9i −0.0863408 0.197429i
\(521\) 82884.1 + 143559.i 0.305348 + 0.528879i 0.977339 0.211681i \(-0.0678937\pi\)
−0.671990 + 0.740560i \(0.734560\pi\)
\(522\) −28.3515 + 22.0501i −0.000104048 + 8.09225e-5i
\(523\) 98749.6 + 271312.i 0.361020 + 0.991896i 0.978669 + 0.205442i \(0.0658631\pi\)
−0.617649 + 0.786454i \(0.711915\pi\)
\(524\) −205229. + 455534.i −0.747439 + 1.65904i
\(525\) −45884.6 + 79474.4i −0.166475 + 0.288343i
\(526\) −323409. + 44725.2i −1.16891 + 0.161652i
\(527\) −142018. 169250.i −0.511354 0.609408i
\(528\) −34082.4 + 20881.3i −0.122254 + 0.0749015i
\(529\) −15529.0 88069.5i −0.0554923 0.314713i
\(530\) −246575. 9155.04i −0.877804 0.0325918i
\(531\) 1473.68i 0.00522655i
\(532\) 122916. + 628.386i 0.434294 + 0.00222026i
\(533\) 24122.6 0.0849121
\(534\) −10338.9 + 278461.i −0.0362570 + 0.976520i
\(535\) 431952. 76164.8i 1.50913 0.266101i
\(536\) −35378.1 146002.i −0.123142 0.508193i
\(537\) −211333. + 177329.i −0.732855 + 0.614938i
\(538\) −17110.9 123729.i −0.0591163 0.427472i
\(539\) 29194.2 + 16855.3i 0.100489 + 0.0580174i
\(540\) 158704. 352266.i 0.544253 1.20805i
\(541\) 17855.7 6498.95i 0.0610075 0.0222049i −0.311336 0.950300i \(-0.600777\pi\)
0.372344 + 0.928095i \(0.378554\pi\)
\(542\) −278663. 358298.i −0.948596 1.21968i
\(543\) −250070. + 144378.i −0.848129 + 0.489667i
\(544\) 368338. + 218110.i 1.24466 + 0.737018i
\(545\) 83518.7 473658.i 0.281184 1.59467i
\(546\) 11197.1 17831.5i 0.0375595 0.0598138i
\(547\) 265740. 316697.i 0.888142 1.05845i −0.109776 0.993956i \(-0.535013\pi\)
0.997918 0.0644902i \(-0.0205421\pi\)
\(548\) 170960. + 166558.i 0.569291 + 0.554631i
\(549\) 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
\(554\) 221001. + 417862.i 0.720069 + 1.36149i
\(555\) −402893. + 480150.i −1.30799 + 1.55880i
\(556\) 351642. + 89323.4i 1.13750 + 0.288945i
\(557\) 24189.5 137185.i 0.0779679 0.442178i −0.920686 0.390305i \(-0.872370\pi\)
0.998654 0.0518732i \(-0.0165192\pi\)
\(558\) −858.333 184.424i −0.00275669 0.000592309i
\(559\) −56565.5 + 32658.1i −0.181021 + 0.104512i
\(560\) 180863. 4719.07i 0.576732 0.0150481i
\(561\) 61334.1 22323.8i 0.194884 0.0709320i
\(562\) −317973. 287577.i −1.00674 0.910502i
\(563\) 30816.9 + 17792.1i 0.0972236 + 0.0561321i 0.547823 0.836594i \(-0.315457\pi\)
−0.450600 + 0.892726i \(0.648790\pi\)
\(564\) 181563. + 376465.i 0.570782 + 1.18349i
\(565\) 157166. 131878.i 0.492337 0.413119i
\(566\) −72490.7 + 178288.i −0.226282 + 0.556530i
\(567\) 138203. 24368.9i 0.429883 0.0758000i
\(568\) −208366. 313368.i −0.645849 0.971309i
\(569\) 401249. 1.23934 0.619668 0.784864i \(-0.287267\pi\)
0.619668 + 0.784864i \(0.287267\pi\)
\(570\) −61466.5 + 428318.i −0.189186 + 1.31831i
\(571\) 36662.8i 0.112448i −0.998418 0.0562242i \(-0.982094\pi\)
0.998418 0.0562242i \(-0.0179061\pi\)
\(572\) 2059.86 + 7305.01i 0.00629571 + 0.0223269i
\(573\) −61941.7 351289.i −0.188657 1.06993i
\(574\) −28212.4 + 69387.2i −0.0856281 + 0.210599i
\(575\) 186680. + 222476.i 0.564627 + 0.672897i
\(576\) 1687.40 214.423i 0.00508597 0.000646289i
\(577\) −278694. + 482712.i −0.837097 + 1.44989i 0.0552148 + 0.998475i \(0.482416\pi\)
−0.892312 + 0.451420i \(0.850918\pi\)
\(578\) −270665. 244791.i −0.810170 0.732722i
\(579\) −159712. 438806.i −0.476410 1.30893i
\(580\) −6466.67 + 9496.62i −0.0192232 + 0.0282301i
\(581\) −89176.5 154458.i −0.264179 0.457571i
\(582\) −141188. 30336.0i −0.416823 0.0895597i
\(583\) 31653.0 + 5581.27i 0.0931273 + 0.0164209i
\(584\) 31846.5 + 503247.i 0.0933762 + 1.47556i
\(585\) 289.622 + 243.022i 0.000846291 + 0.000710123i
\(586\) 216524. + 409397.i 0.630536 + 1.19220i
\(587\) −86520.6 + 237713.i −0.251098 + 0.689886i 0.748543 + 0.663087i \(0.230754\pi\)
−0.999641 + 0.0267998i \(0.991468\pi\)
\(588\) −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
\(592\) 529583. + 79197.6i 1.51109 + 0.225979i
\(593\) 396046. + 332322.i 1.12625 + 0.945038i 0.998903 0.0468199i \(-0.0149087\pi\)
0.127349 + 0.991858i \(0.459353\pi\)
\(594\) −26764.0 + 42621.9i −0.0758540 + 0.120798i
\(595\) −290955. 51303.2i −0.821849 0.144914i
\(596\) −58558.2 581816.i −0.164852 1.63792i
\(597\) 286981. + 497066.i 0.805202 + 1.39465i
\(598\) −40908.4 52599.1i −0.114396 0.147087i
\(599\) −69657.3 191382.i −0.194139 0.533392i 0.803983 0.594652i \(-0.202710\pi\)
−0.998122 + 0.0612600i \(0.980488\pi\)
\(600\) −30663.8 + 274280.i −0.0851773 + 0.761889i
\(601\) 196328. 340049.i 0.543541 0.941440i −0.455156 0.890412i \(-0.650417\pi\)
0.998697 0.0510288i \(-0.0162500\pi\)
\(602\) −27783.4 200902.i −0.0766641 0.554360i
\(603\) 626.574 + 746.721i 0.00172321 + 0.00205364i
\(604\) −5096.84 + 68542.7i −0.0139710 + 0.187883i
\(605\) −82706.5 469052.i −0.225959 1.28148i
\(606\) 9157.11 246631.i 0.0249352 0.671588i
\(607\) 257203.i 0.698069i 0.937110 + 0.349035i \(0.113490\pi\)
−0.937110 + 0.349035i \(0.886510\pi\)
\(608\) 339445. 146385.i 0.918253 0.395995i
\(609\) −4151.82 −0.0111945
\(610\) 360832. + 13397.2i 0.969718 + 0.0360044i
\(611\) 78159.5 13781.6i 0.209363 0.0369163i
\(612\) −2769.98 205.976i −0.00739560 0.000549937i
\(613\) −345572. + 289969.i −0.919638 + 0.771668i −0.973928 0.226857i \(-0.927155\pi\)
0.0542897 + 0.998525i \(0.482711\pi\)
\(614\) 645129. 89216.7i 1.71124 0.236652i
\(615\) −228356. 131841.i −0.603757 0.348579i
\(616\) −23421.5 2618.47i −0.0617239 0.00690058i
\(617\) 47785.5 17392.5i 0.125524 0.0456869i −0.278495 0.960438i \(-0.589835\pi\)
0.404018 + 0.914751i \(0.367613\pi\)
\(618\) 230352. 179154.i 0.603137 0.469084i
\(619\) 366958. 211863.i 0.957712 0.552935i 0.0622439 0.998061i \(-0.480174\pi\)
0.895468 + 0.445126i \(0.146841\pi\)
\(620\) −279424. + 28123.2i −0.726909 + 0.0731614i
\(621\) 76726.9 435140.i 0.198959 1.12835i
\(622\) 310841. + 195189.i 0.803447 + 0.504516i
\(623\) −105609. + 125860.i −0.272099 + 0.324275i
\(624\) 9365.60 62626.5i 0.0240528 0.160838i
\(625\) 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
\(630\) −1037.76 + 548.856i −0.00261467 + 0.00138286i
\(631\) −274688. + 327360.i −0.689892 + 0.822181i −0.991343 0.131301i \(-0.958085\pi\)
0.301451 + 0.953482i \(0.402529\pi\)
\(632\) −36036.7 + 2280.47i −0.0902217 + 0.00570941i
\(633\) −73301.8 + 415715.i −0.182939 + 1.03750i
\(634\) 97068.5 451771.i 0.241490 1.12393i
\(635\) 92231.4 53249.9i 0.228734 0.132060i
\(636\) −221649. 150930.i −0.547962 0.373132i
\(637\) −50184.8 + 18265.8i −0.123678 + 0.0450152i
\(638\) 1003.87 1109.98i 0.00246625 0.00272693i
\(639\) 2114.68 + 1220.91i 0.00517895 + 0.00299007i
\(640\) 492673. 230948.i 1.20281 0.563839i
\(641\) −168552. + 141432.i −0.410221 + 0.344216i −0.824428 0.565966i \(-0.808503\pi\)
0.414207 + 0.910182i \(0.364059\pi\)
\(642\) 441572. + 179541.i 1.07135 + 0.435605i
\(643\) 424317. 74818.5i 1.02629 0.180962i 0.364930 0.931035i \(-0.381093\pi\)
0.661355 + 0.750073i \(0.269982\pi\)
\(644\) 199142. 56153.8i 0.480166 0.135396i
\(645\) 713969. 1.71617
\(646\) −590819. + 123788.i −1.41576 + 0.296630i
\(647\) 234925.i 0.561205i 0.959824 + 0.280602i \(0.0905342\pi\)
−0.959824 + 0.280602i \(0.909466\pi\)
\(648\) 351445. 233685.i 0.836966 0.556520i
\(649\) 10663.1 + 60473.6i 0.0253160 + 0.143574i
\(650\) 48547.2 + 19739.0i 0.114905 + 0.0467195i
\(651\) −65232.6 77741.2i −0.153923 0.183438i
\(652\) −505072. + 243589.i −1.18811 + 0.573009i
\(653\) −295127. + 511175.i −0.692122 + 1.19879i 0.279019 + 0.960286i \(0.409991\pi\)
−0.971141 + 0.238505i \(0.923343\pi\)
\(654\) 350611. 387671.i 0.819729 0.906374i
\(655\) −354693. 974511.i −0.826742 2.27146i
\(656\) 5875.63 + 225190.i 0.0136536 + 0.523288i
\(657\) −1635.97 2833.59i −0.00379006 0.00656457i
\(658\) −51768.8 + 240939.i −0.119568 + 0.556488i
\(659\) 71047.9 + 12527.7i 0.163599 + 0.0288469i 0.254848 0.966981i \(-0.417975\pi\)
−0.0912487 + 0.995828i \(0.529086\pi\)
\(660\) 20425.8 80410.8i 0.0468911 0.184598i
\(661\) 116248. + 97543.8i 0.266062 + 0.223253i 0.766052 0.642779i \(-0.222218\pi\)
−0.499990 + 0.866031i \(0.666663\pi\)
\(662\) 491985. 260203.i 1.12263 0.593741i
\(663\) −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
\(668\) −583355. + 598774.i −1.30731 + 1.34187i
\(669\) 43784.3 + 36739.4i 0.0978287 + 0.0820881i
\(670\) 264071. + 165821.i 0.588263 + 0.369393i
\(671\) −46320.1 8167.49i −0.102879 0.0181403i
\(672\) 169188. + 100184.i 0.374654 + 0.221850i
\(673\) 189772. + 328695.i 0.418989 + 0.725710i 0.995838 0.0911410i \(-0.0290514\pi\)
−0.576849 + 0.816851i \(0.695718\pi\)
\(674\) −81849.5 + 63657.7i −0.180176 + 0.140130i
\(675\) 118855. + 326550.i 0.260861 + 0.716708i
\(676\) 405682. + 182769.i 0.887753 + 0.399954i
\(677\) 50313.8 87146.0i 0.109777 0.190139i −0.805903 0.592047i \(-0.798320\pi\)
0.915680 + 0.401909i \(0.131653\pi\)
\(678\) 220867. 30544.4i 0.480476 0.0664465i
\(679\) −54731.6 65226.6i −0.118713 0.141477i
\(680\) −863534. + 209245.i −1.86750 + 0.452520i
\(681\) −132631. 752186.i −0.285989 1.62193i
\(682\) 36556.7 + 1357.30i 0.0785956 + 0.00291816i
\(683\) 817576.i 1.75262i 0.481751 + 0.876308i \(0.340001\pi\)
−0.481751 + 0.876308i \(0.659999\pi\)
\(684\) −1551.19 + 1829.56i −0.00331552 + 0.00391051i
\(685\) −495418. −1.05582
\(686\) 13736.0 369955.i 0.0291885 0.786141i
\(687\) −708393. + 124909.i −1.50093 + 0.264655i
\(688\) −318649. 520097.i −0.673186 1.09877i
\(689\) −39006.6 + 32730.4i −0.0821673 + 0.0689466i
\(690\) 99779.9 + 721512.i 0.209578 + 1.51546i
\(691\) −63664.2 36756.5i −0.133333 0.0769801i 0.431850 0.901946i \(-0.357861\pi\)
−0.565183 + 0.824966i \(0.691194\pi\)
\(692\) −364272. 164113.i −0.760700 0.342714i
\(693\) 143.699 52.3023i 0.000299219 0.000108907i
\(694\) 314025. + 403766.i 0.651996 + 0.838321i
\(695\) −652172. + 376532.i −1.35018 + 0.779529i
\(696\) −11440.1 + 5003.05i −0.0236163 + 0.0103280i
\(697\) 63876.8 362263.i 0.131485 0.745691i
\(698\) 290479. 462591.i 0.596217 0.949481i
\(699\) −87445.9 + 104214.i −0.178972 + 0.213291i
\(700\) −113556. + 116557.i −0.231747 + 0.237872i
\(701\) −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
\(706\) 158623. + 299920.i 0.318242 + 0.601723i
\(707\) 93537.8 111474.i 0.187132 0.223015i
\(708\) 126132. 496549.i 0.251628 0.990594i
\(709\) 97688.0 554016.i 0.194334 1.10212i −0.719030 0.694979i \(-0.755414\pi\)
0.913364 0.407144i \(-0.133475\pi\)
\(710\) 763675. + 164085.i 1.51493 + 0.325501i
\(711\) 202.909 117.149i 0.000401385 0.000231740i
\(712\) −139336. + 474064.i −0.274855 + 0.935142i
\(713\) −301798. + 109846.i −0.593659 + 0.216074i
\(714\) −238135. 215371.i −0.467119 0.422465i
\(715\) −13643.3 7876.94i −0.0266874 0.0154080i
\(716\) −440625. + 212507.i −0.859494 + 0.414521i
\(717\) 326009. 273554.i 0.634148 0.532113i
\(718\) −80205.6 + 197262.i −0.155581 + 0.382644i
\(719\) 28670.5 5055.38i 0.0554597 0.00977904i −0.145849 0.989307i \(-0.546592\pi\)
0.201309 + 0.979528i \(0.435480\pi\)
\(720\) −2198.12 + 2762.88i −0.00424019 + 0.00532963i
\(721\) 172063. 0.330991
\(722\) −213743. + 475448.i −0.410031 + 0.912072i
\(723\) 667656.i 1.27725i
\(724\) −492815. + 138963.i −0.940171 + 0.265108i
\(725\) −1794.44 10176.8i −0.00341392 0.0193613i
\(726\) 194961. 479499.i 0.369892 0.909733i
\(727\) −299573. 357017.i −0.566805 0.675491i 0.404167 0.914685i \(-0.367561\pi\)
−0.970972 + 0.239194i \(0.923117\pi\)
\(728\) 27028.6 25757.8i 0.0509989 0.0486012i
\(729\) 264344. 457858.i 0.497410 0.861540i
\(730\) −776267. 702060.i −1.45668 1.31743i
\(731\) 340660. + 935957.i 0.637510 + 1.75154i
\(732\) 324355. + 220868.i 0.605338 + 0.412202i
\(733\) 128790. + 223070.i 0.239703 + 0.415177i 0.960629 0.277835i \(-0.0896167\pi\)
−0.720926 + 0.693012i \(0.756283\pi\)
\(734\) −151560. 32564.5i −0.281314 0.0604439i
\(735\) 574905. + 101371.i 1.06419 + 0.187646i
\(736\) 481059. 394701.i 0.888061 0.728639i
\(737\) −31114.9 26108.5i −0.0572840 0.0480670i
\(738\) −683.371 1292.10i −0.00125471 0.00237238i
\(739\) 78426.0 215474.i 0.143605 0.394553i −0.846949 0.531675i \(-0.821563\pi\)
0.990554 + 0.137122i \(0.0437852\pi\)
\(740\) −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 \(-0.722504\pi\)
0.984961 0.172776i \(-0.0552738\pi\)
\(744\) −273426. 135605.i −0.493962 0.244979i
\(745\) 929782. + 780180.i 1.67521 + 1.40567i
\(746\) −465798. + 741788.i −0.836990 + 1.33291i
\(747\) 3427.55 + 604.369i 0.00614246 + 0.00108308i
\(748\) 115158. 11590.4i 0.205822 0.0207154i
\(749\) 140529. + 243404.i 0.250497 + 0.433874i
\(750\) 108229. + 139158.i 0.192406 + 0.247391i
\(751\) 30.2909 + 83.2237i 5.37073e−5 + 0.000147559i 0.939719 0.341946i \(-0.111086\pi\)
−0.939666 + 0.342094i \(0.888864\pi\)
\(752\) 147692. + 726279.i 0.261169 + 1.28430i
\(753\) 107254. 185769.i 0.189157 0.327629i
\(754\) 324.798 + 2348.63i 0.000571309 + 0.00413115i
\(755\) −91702.1 109286.i −0.160874 0.191722i
\(756\) 246896. + 18359.2i 0.431986 + 0.0321225i
\(757\) −105376. 597616.i −0.183886 1.04287i −0.927378 0.374125i \(-0.877943\pi\)
0.743492 0.668745i \(-0.233168\pi\)
\(758\) 24958.8 672222.i 0.0434395 1.16997i
\(759\) 94879.3i 0.164698i
\(760\) −292630. + 709297.i −0.506631 + 1.22801i
\(761\) 933235. 1.61147 0.805734 0.592278i \(-0.201771\pi\)
0.805734 + 0.592278i \(0.201771\pi\)
\(762\) 115662. + 4294.38i 0.199196 + 0.00739589i
\(763\) 303513. 53517.6i 0.521349 0.0919279i
\(764\) 46905.4 630787.i 0.0803592 1.08068i
\(765\) 4416.52 3705.90i 0.00754670 0.00633244i
\(766\) −720269. + 99608.1i −1.22754 + 0.169761i
\(767\) −84249.2 48641.3i −0.143211 0.0826827i
\(768\) 586913. + 72175.8i 0.995064 + 0.122368i
\(769\) −734040. + 267169.i −1.24127 + 0.451786i −0.877444 0.479680i \(-0.840753\pi\)
−0.363829 + 0.931466i \(0.618531\pi\)
\(770\) 38613.9 30031.6i 0.0651272 0.0506520i