Properties

Label 43.5.h.a.3.2
Level 43
Weight 5
Character 43.3
Analytic conductor 4.445
Analytic rank 0
Dimension 168
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.44490841261\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(14\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 3.2
Character \(\chi\) \(=\) 43.3
Dual form 43.5.h.a.29.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.89615 + 6.01392i) q^{2} +(-13.0489 - 0.977880i) q^{3} +(-17.8037 - 22.3251i) q^{4} +(-7.18026 + 23.2778i) q^{5} +(43.6724 - 75.6429i) q^{6} +(24.2992 - 14.0292i) q^{7} +(81.7020 - 18.6479i) q^{8} +(89.2222 + 13.4481i) q^{9} +O(q^{10})\) \(q+(-2.89615 + 6.01392i) q^{2} +(-13.0489 - 0.977880i) q^{3} +(-17.8037 - 22.3251i) q^{4} +(-7.18026 + 23.2778i) q^{5} +(43.6724 - 75.6429i) q^{6} +(24.2992 - 14.0292i) q^{7} +(81.7020 - 18.6479i) q^{8} +(89.2222 + 13.4481i) q^{9} +(-119.196 - 110.598i) q^{10} +(-73.5249 + 92.1973i) q^{11} +(210.487 + 308.728i) q^{12} +(199.563 - 185.167i) q^{13} +(13.9960 + 186.764i) q^{14} +(116.457 - 296.728i) q^{15} +(-22.8090 + 99.9330i) q^{16} +(-289.571 + 89.3208i) q^{17} +(-339.276 + 497.627i) q^{18} +(-46.1771 - 306.365i) q^{19} +(647.515 - 254.131i) q^{20} +(-330.797 + 159.303i) q^{21} +(-341.528 - 709.190i) q^{22} +(-373.893 - 952.664i) q^{23} +(-1084.36 + 163.440i) q^{24} +(26.0985 + 17.7937i) q^{25} +(535.617 + 1736.43i) q^{26} +(-117.750 - 26.8757i) q^{27} +(-745.818 - 292.712i) q^{28} +(191.987 - 14.3874i) q^{29} +(1447.22 + 1559.73i) q^{30} +(-1407.99 + 959.952i) q^{31} +(513.388 + 409.413i) q^{32} +(1049.58 - 1131.17i) q^{33} +(301.473 - 2000.14i) q^{34} +(152.094 + 666.366i) q^{35} +(-1288.25 - 2231.32i) q^{36} +(-15.4813 - 8.93814i) q^{37} +(1976.19 + 609.574i) q^{38} +(-2785.15 + 2221.08i) q^{39} +(-152.558 + 2035.74i) q^{40} +(715.602 + 344.616i) q^{41} -2450.75i q^{42} +(478.300 - 1786.07i) q^{43} +3367.33 q^{44} +(-953.680 + 1980.34i) q^{45} +(6812.09 + 510.496i) q^{46} +(-1433.03 - 1796.97i) q^{47} +(395.355 - 1281.71i) q^{48} +(-806.865 + 1397.53i) q^{49} +(-182.595 + 105.421i) q^{50} +(3865.93 - 882.373i) q^{51} +(-7686.83 - 1158.60i) q^{52} +(-2239.73 - 2078.16i) q^{53} +(502.651 - 630.305i) q^{54} +(-1618.22 - 2373.50i) q^{55} +(1723.68 - 1599.34i) q^{56} +(302.972 + 4042.88i) q^{57} +(-469.499 + 1196.26i) q^{58} +(814.720 - 3569.52i) q^{59} +(-8697.86 + 2682.93i) q^{60} +(1075.42 - 1577.36i) q^{61} +(-1695.32 - 11247.7i) q^{62} +(2356.69 - 924.934i) q^{63} +(-5426.66 + 2613.34i) q^{64} +(2877.38 + 5974.94i) q^{65} +(3763.06 + 9588.12i) q^{66} +(-2031.49 + 306.198i) q^{67} +(7149.52 + 4874.46i) q^{68} +(3947.30 + 12796.8i) q^{69} +(-4447.95 - 1015.22i) q^{70} +(1858.54 + 729.425i) q^{71} +(7540.41 - 565.075i) q^{72} +(441.004 + 475.289i) q^{73} +(98.5895 - 67.2172i) q^{74} +(-323.157 - 257.709i) q^{75} +(-6017.51 + 6485.34i) q^{76} +(-493.147 + 3271.81i) q^{77} +(-5291.19 - 23182.2i) q^{78} +(-800.654 - 1386.77i) q^{79} +(-2162.45 - 1248.49i) q^{80} +(-5473.69 - 1688.41i) q^{81} +(-4144.98 + 3305.51i) q^{82} +(951.695 - 12699.5i) q^{83} +(9445.86 + 4548.89i) q^{84} -7381.93i q^{85} +(9356.02 + 8049.17i) q^{86} -2519.29 q^{87} +(-4287.84 + 8903.79i) q^{88} +(-10633.4 - 796.861i) q^{89} +(-9147.58 - 11470.7i) q^{90} +(2251.48 - 7299.12i) q^{91} +(-14611.6 + 25308.1i) q^{92} +(19311.4 - 11149.5i) q^{93} +(14957.1 - 3413.86i) q^{94} +(7463.08 + 1124.88i) q^{95} +(-6298.79 - 5844.43i) q^{96} +(-4032.86 + 5057.04i) q^{97} +(-6067.84 - 8899.88i) q^{98} +(-7799.93 + 7237.27i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} + O(q^{10}) \) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} - 105q^{10} + 362q^{11} + 1124q^{12} - 166q^{13} - 876q^{14} + 1157q^{15} - 2752q^{16} - 37q^{17} + 988q^{18} - 1004q^{19} + 1909q^{20} - 2265q^{21} + 2338q^{22} - 976q^{23} + 3016q^{24} - 2199q^{25} + 1957q^{26} - 14q^{27} + 2022q^{28} + 571q^{29} - 7896q^{30} - 7476q^{31} + 21616q^{32} - 2900q^{33} - 1559q^{34} - 1623q^{35} - 9123q^{36} - 11949q^{37} - 19394q^{38} + 175q^{39} - 10317q^{40} - 4162q^{41} + 1005q^{43} + 744q^{44} + 16632q^{45} + 34415q^{46} + 8486q^{47} + 37831q^{48} + 20918q^{49} + 14433q^{50} + 25270q^{51} - 40864q^{52} - 7522q^{53} + 23330q^{54} - 30896q^{55} - 38943q^{56} + 14884q^{57} - 2644q^{58} - 2743q^{59} - 15231q^{60} - 164q^{61} + 15097q^{62} - 22771q^{63} - 7274q^{64} + 19138q^{65} + 16631q^{66} - 31599q^{67} - 17923q^{68} + 49515q^{69} + 69209q^{70} - 2057q^{71} + 62621q^{72} - 19678q^{73} - 86988q^{74} - 28525q^{75} - 38694q^{76} - 65721q^{77} - 112636q^{78} - 293q^{79} - 99738q^{80} - 38860q^{81} - 40460q^{82} - 45580q^{83} - 28041q^{84} + 6292q^{86} + 2598q^{87} + 48902q^{88} + 83608q^{89} + 180383q^{90} + 62161q^{91} + 39390q^{92} + 203670q^{93} + 199878q^{94} - 20897q^{95} + 59662q^{96} + 93627q^{97} - 40724q^{98} + 26734q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.89615 + 6.01392i −0.724037 + 1.50348i 0.134602 + 0.990900i \(0.457024\pi\)
−0.858640 + 0.512579i \(0.828690\pi\)
\(3\) −13.0489 0.977880i −1.44988 0.108653i −0.673624 0.739074i \(-0.735263\pi\)
−0.776253 + 0.630421i \(0.782882\pi\)
\(4\) −17.8037 22.3251i −1.11273 1.39532i
\(5\) −7.18026 + 23.2778i −0.287210 + 0.931113i 0.690887 + 0.722963i \(0.257220\pi\)
−0.978097 + 0.208150i \(0.933256\pi\)
\(6\) 43.6724 75.6429i 1.21312 2.10119i
\(7\) 24.2992 14.0292i 0.495902 0.286309i −0.231117 0.972926i \(-0.574238\pi\)
0.727020 + 0.686617i \(0.240905\pi\)
\(8\) 81.7020 18.6479i 1.27659 0.291374i
\(9\) 89.2222 + 13.4481i 1.10151 + 0.166026i
\(10\) −119.196 110.598i −1.19196 1.10598i
\(11\) −73.5249 + 92.1973i −0.607644 + 0.761961i −0.986547 0.163475i \(-0.947730\pi\)
0.378904 + 0.925436i \(0.376301\pi\)
\(12\) 210.487 + 308.728i 1.46172 + 2.14394i
\(13\) 199.563 185.167i 1.18085 1.09566i 0.187292 0.982304i \(-0.440029\pi\)
0.993554 0.113360i \(-0.0361614\pi\)
\(14\) 13.9960 + 186.764i 0.0714083 + 0.952878i
\(15\) 116.457 296.728i 0.517588 1.31879i
\(16\) −22.8090 + 99.9330i −0.0890978 + 0.390363i
\(17\) −289.571 + 89.3208i −1.00198 + 0.309069i −0.751985 0.659180i \(-0.770904\pi\)
−0.249990 + 0.968248i \(0.580427\pi\)
\(18\) −339.276 + 497.627i −1.04715 + 1.53589i
\(19\) −46.1771 306.365i −0.127914 0.848657i −0.957116 0.289707i \(-0.906442\pi\)
0.829201 0.558950i \(-0.188796\pi\)
\(20\) 647.515 254.131i 1.61879 0.635327i
\(21\) −330.797 + 159.303i −0.750106 + 0.361232i
\(22\) −341.528 709.190i −0.705636 1.46527i
\(23\) −373.893 952.664i −0.706792 1.80088i −0.589482 0.807781i \(-0.700668\pi\)
−0.117309 0.993095i \(-0.537427\pi\)
\(24\) −1084.36 + 163.440i −1.88256 + 0.283751i
\(25\) 26.0985 + 17.7937i 0.0417577 + 0.0284699i
\(26\) 535.617 + 1736.43i 0.792332 + 2.56868i
\(27\) −117.750 26.8757i −0.161523 0.0368666i
\(28\) −745.818 292.712i −0.951298 0.373357i
\(29\) 191.987 14.3874i 0.228284 0.0171075i 0.0399032 0.999204i \(-0.487295\pi\)
0.188381 + 0.982096i \(0.439676\pi\)
\(30\) 1447.22 + 1559.73i 1.60802 + 1.73304i
\(31\) −1407.99 + 959.952i −1.46513 + 0.998909i −0.472038 + 0.881578i \(0.656481\pi\)
−0.993093 + 0.117331i \(0.962566\pi\)
\(32\) 513.388 + 409.413i 0.501356 + 0.399818i
\(33\) 1049.58 1131.17i 0.963798 1.03873i
\(34\) 301.473 2000.14i 0.260790 1.73023i
\(35\) 152.094 + 666.366i 0.124158 + 0.543972i
\(36\) −1288.25 2231.32i −0.994022 1.72170i
\(37\) −15.4813 8.93814i −0.0113085 0.00652896i 0.494335 0.869271i \(-0.335412\pi\)
−0.505644 + 0.862742i \(0.668745\pi\)
\(38\) 1976.19 + 609.574i 1.36855 + 0.422143i
\(39\) −2785.15 + 2221.08i −1.83113 + 1.46028i
\(40\) −152.558 + 2035.74i −0.0953485 + 1.27234i
\(41\) 715.602 + 344.616i 0.425700 + 0.205006i 0.634452 0.772962i \(-0.281226\pi\)
−0.208752 + 0.977969i \(0.566940\pi\)
\(42\) 2450.75i 1.38931i
\(43\) 478.300 1786.07i 0.258680 0.965963i
\(44\) 3367.33 1.73932
\(45\) −953.680 + 1980.34i −0.470953 + 0.977944i
\(46\) 6812.09 + 510.496i 3.21932 + 0.241255i
\(47\) −1433.03 1796.97i −0.648725 0.813476i 0.343338 0.939212i \(-0.388442\pi\)
−0.992064 + 0.125736i \(0.959871\pi\)
\(48\) 395.355 1281.71i 0.171595 0.556298i
\(49\) −806.865 + 1397.53i −0.336054 + 0.582062i
\(50\) −182.595 + 105.421i −0.0730380 + 0.0421685i
\(51\) 3865.93 882.373i 1.48632 0.339244i
\(52\) −7686.83 1158.60i −2.84276 0.428478i
\(53\) −2239.73 2078.16i −0.797340 0.739824i 0.172119 0.985076i \(-0.444939\pi\)
−0.969459 + 0.245253i \(0.921129\pi\)
\(54\) 502.651 630.305i 0.172377 0.216154i
\(55\) −1618.22 2373.50i −0.534950 0.784628i
\(56\) 1723.68 1599.34i 0.549642 0.509994i
\(57\) 302.972 + 4042.88i 0.0932509 + 1.24435i
\(58\) −469.499 + 1196.26i −0.139566 + 0.355607i
\(59\) 814.720 3569.52i 0.234048 1.02543i −0.712197 0.701979i \(-0.752300\pi\)
0.946245 0.323451i \(-0.104843\pi\)
\(60\) −8697.86 + 2682.93i −2.41607 + 0.745260i
\(61\) 1075.42 1577.36i 0.289015 0.423906i −0.654083 0.756423i \(-0.726945\pi\)
0.943097 + 0.332516i \(0.107898\pi\)
\(62\) −1695.32 11247.7i −0.441030 2.92604i
\(63\) 2356.69 924.934i 0.593775 0.233040i
\(64\) −5426.66 + 2613.34i −1.32487 + 0.638023i
\(65\) 2877.38 + 5974.94i 0.681036 + 1.41419i
\(66\) 3763.06 + 9588.12i 0.863879 + 2.20113i
\(67\) −2031.49 + 306.198i −0.452549 + 0.0682108i −0.371362 0.928488i \(-0.621109\pi\)
−0.0811869 + 0.996699i \(0.525871\pi\)
\(68\) 7149.52 + 4874.46i 1.54618 + 1.05417i
\(69\) 3947.30 + 12796.8i 0.829091 + 2.68785i
\(70\) −4447.95 1015.22i −0.907746 0.207187i
\(71\) 1858.54 + 729.425i 0.368685 + 0.144698i 0.542448 0.840089i \(-0.317497\pi\)
−0.173763 + 0.984788i \(0.555593\pi\)
\(72\) 7540.41 565.075i 1.45455 0.109004i
\(73\) 441.004 + 475.289i 0.0827555 + 0.0891892i 0.773072 0.634318i \(-0.218719\pi\)
−0.690316 + 0.723508i \(0.742529\pi\)
\(74\) 98.5895 67.2172i 0.0180039 0.0122749i
\(75\) −323.157 257.709i −0.0574501 0.0458150i
\(76\) −6017.51 + 6485.34i −1.04181 + 1.12281i
\(77\) −493.147 + 3271.81i −0.0831753 + 0.551832i
\(78\) −5291.19 23182.2i −0.869690 3.81036i
\(79\) −800.654 1386.77i −0.128289 0.222204i 0.794725 0.606970i \(-0.207615\pi\)
−0.923014 + 0.384767i \(0.874282\pi\)
\(80\) −2162.45 1248.49i −0.337882 0.195076i
\(81\) −5473.69 1688.41i −0.834277 0.257340i
\(82\) −4144.98 + 3305.51i −0.616445 + 0.491599i
\(83\) 951.695 12699.5i 0.138147 1.84344i −0.311510 0.950243i \(-0.600835\pi\)
0.449657 0.893201i \(-0.351546\pi\)
\(84\) 9445.86 + 4548.89i 1.33870 + 0.644684i
\(85\) 7381.93i 1.02172i
\(86\) 9356.02 + 8049.17i 1.26501 + 1.08831i
\(87\) −2519.29 −0.332843
\(88\) −4287.84 + 8903.79i −0.553698 + 1.14977i
\(89\) −10633.4 796.861i −1.34243 0.100601i −0.615947 0.787788i \(-0.711226\pi\)
−0.726481 + 0.687187i \(0.758845\pi\)
\(90\) −9147.58 11470.7i −1.12933 1.41614i
\(91\) 2251.48 7299.12i 0.271885 0.881430i
\(92\) −14611.6 + 25308.1i −1.72633 + 2.99009i
\(93\) 19311.4 11149.5i 2.23279 1.28910i
\(94\) 14957.1 3413.86i 1.69275 0.386358i
\(95\) 7463.08 + 1124.88i 0.826934 + 0.124640i
\(96\) −6298.79 5844.43i −0.683463 0.634161i
\(97\) −4032.86 + 5057.04i −0.428617 + 0.537469i −0.948503 0.316767i \(-0.897403\pi\)
0.519887 + 0.854235i \(0.325974\pi\)
\(98\) −6067.84 8899.88i −0.631803 0.926685i
\(99\) −7799.93 + 7237.27i −0.795830 + 0.738422i
\(100\) −67.4041 899.445i −0.00674041 0.0899445i
\(101\) −903.011 + 2300.84i −0.0885218 + 0.225550i −0.968278 0.249875i \(-0.919610\pi\)
0.879756 + 0.475425i \(0.157706\pi\)
\(102\) −5889.79 + 25804.8i −0.566108 + 2.48028i
\(103\) −12449.4 + 3840.13i −1.17348 + 0.361969i −0.819386 0.573242i \(-0.805685\pi\)
−0.354090 + 0.935211i \(0.615209\pi\)
\(104\) 12851.7 18850.0i 1.18821 1.74279i
\(105\) −1333.03 8844.07i −0.120910 0.802183i
\(106\) 18984.5 7450.87i 1.68961 0.663124i
\(107\) 1728.21 832.261i 0.150948 0.0726929i −0.356884 0.934149i \(-0.616161\pi\)
0.507833 + 0.861456i \(0.330447\pi\)
\(108\) 1496.39 + 3107.28i 0.128291 + 0.266399i
\(109\) 1801.30 + 4589.63i 0.151612 + 0.386300i 0.986420 0.164240i \(-0.0525171\pi\)
−0.834809 + 0.550540i \(0.814422\pi\)
\(110\) 18960.6 2857.86i 1.56700 0.236187i
\(111\) 193.274 + 131.772i 0.0156865 + 0.0106949i
\(112\) 847.733 + 2748.28i 0.0675808 + 0.219092i
\(113\) 2232.94 + 509.653i 0.174872 + 0.0399133i 0.309060 0.951043i \(-0.399986\pi\)
−0.134188 + 0.990956i \(0.542843\pi\)
\(114\) −25191.0 9886.75i −1.93837 0.760753i
\(115\) 24860.6 1863.04i 1.87982 0.140873i
\(116\) −3739.28 4029.98i −0.277889 0.299493i
\(117\) 20295.6 13837.3i 1.48262 1.01083i
\(118\) 19107.3 + 15237.5i 1.37225 + 1.09434i
\(119\) −5783.25 + 6232.86i −0.408393 + 0.440143i
\(120\) 3981.42 26415.0i 0.276487 1.83437i
\(121\) 163.497 + 716.329i 0.0111671 + 0.0489262i
\(122\) 6371.50 + 11035.8i 0.428077 + 0.741451i
\(123\) −9000.82 5196.62i −0.594938 0.343488i
\(124\) 46498.4 + 14342.9i 3.02409 + 0.932809i
\(125\) −12505.0 + 9972.41i −0.800321 + 0.638234i
\(126\) −1262.86 + 16851.7i −0.0795453 + 1.06146i
\(127\) 11412.5 + 5495.99i 0.707579 + 0.340752i 0.752822 0.658224i \(-0.228692\pi\)
−0.0452431 + 0.998976i \(0.514406\pi\)
\(128\) 29697.7i 1.81261i
\(129\) −7987.84 + 22838.5i −0.480010 + 1.37242i
\(130\) −44266.1 −2.61930
\(131\) −7128.47 + 14802.4i −0.415388 + 0.862561i 0.583345 + 0.812225i \(0.301744\pi\)
−0.998732 + 0.0503367i \(0.983971\pi\)
\(132\) −43939.9 3292.84i −2.52180 0.188983i
\(133\) −5420.11 6796.61i −0.306412 0.384228i
\(134\) 4042.06 13104.0i 0.225109 0.729785i
\(135\) 1471.09 2548.00i 0.0807180 0.139808i
\(136\) −21992.9 + 12697.6i −1.18906 + 0.686505i
\(137\) 13300.3 3035.71i 0.708631 0.161740i 0.147010 0.989135i \(-0.453035\pi\)
0.561621 + 0.827395i \(0.310178\pi\)
\(138\) −88391.1 13322.8i −4.64141 0.699580i
\(139\) 6880.14 + 6383.84i 0.356096 + 0.330409i 0.837853 0.545896i \(-0.183811\pi\)
−0.481757 + 0.876305i \(0.660001\pi\)
\(140\) 12168.9 15259.3i 0.620860 0.778534i
\(141\) 16942.3 + 24849.8i 0.852186 + 1.24993i
\(142\) −9769.32 + 9064.60i −0.484493 + 0.449544i
\(143\) 2399.09 + 32013.6i 0.117320 + 1.56553i
\(144\) −3378.98 + 8609.50i −0.162952 + 0.415196i
\(145\) −1043.61 + 4572.35i −0.0496366 + 0.217472i
\(146\) −4135.56 + 1275.65i −0.194012 + 0.0598448i
\(147\) 11895.3 17447.2i 0.550480 0.807406i
\(148\) 76.0794 + 504.754i 0.00347331 + 0.0230439i
\(149\) 8261.31 3242.33i 0.372114 0.146044i −0.171912 0.985112i \(-0.554994\pi\)
0.544026 + 0.839068i \(0.316899\pi\)
\(150\) 2485.75 1197.08i 0.110478 0.0532033i
\(151\) −17040.7 35385.3i −0.747365 1.55192i −0.831538 0.555468i \(-0.812539\pi\)
0.0841733 0.996451i \(-0.473175\pi\)
\(152\) −9485.84 24169.5i −0.410571 1.04612i
\(153\) −27037.3 + 4075.22i −1.15500 + 0.174088i
\(154\) −18248.2 12441.4i −0.769446 0.524600i
\(155\) −12235.8 39667.6i −0.509297 1.65110i
\(156\) 99171.7 + 22635.3i 4.07510 + 0.930116i
\(157\) 2412.04 + 946.654i 0.0978553 + 0.0384054i 0.413764 0.910384i \(-0.364214\pi\)
−0.315908 + 0.948790i \(0.602309\pi\)
\(158\) 10658.8 798.763i 0.426965 0.0319966i
\(159\) 27193.8 + 29307.9i 1.07566 + 1.15929i
\(160\) −13216.5 + 9010.86i −0.516270 + 0.351987i
\(161\) −22450.4 17903.6i −0.866108 0.690698i
\(162\) 26006.6 28028.4i 0.990954 1.06799i
\(163\) −4057.83 + 26921.9i −0.152728 + 1.01328i 0.772813 + 0.634634i \(0.218849\pi\)
−0.925540 + 0.378649i \(0.876389\pi\)
\(164\) −5046.76 22111.3i −0.187640 0.822104i
\(165\) 18795.0 + 32554.0i 0.690360 + 1.19574i
\(166\) 73617.4 + 42503.0i 2.67156 + 1.54242i
\(167\) −31919.7 9845.91i −1.14453 0.353039i −0.336209 0.941788i \(-0.609145\pi\)
−0.808316 + 0.588748i \(0.799621\pi\)
\(168\) −24056.1 + 19184.1i −0.852327 + 0.679708i
\(169\) 3404.05 45423.9i 0.119185 1.59042i
\(170\) 44394.3 + 21379.2i 1.53613 + 0.739764i
\(171\) 27955.6i 0.956040i
\(172\) −48389.6 + 21120.4i −1.63567 + 0.713914i
\(173\) 4146.76 0.138553 0.0692766 0.997597i \(-0.477931\pi\)
0.0692766 + 0.997597i \(0.477931\pi\)
\(174\) 7296.24 15150.8i 0.240991 0.500423i
\(175\) 883.804 + 66.2320i 0.0288589 + 0.00216268i
\(176\) −7536.52 9450.49i −0.243302 0.305091i
\(177\) −14121.8 + 45781.6i −0.450757 + 1.46132i
\(178\) 35588.1 61640.4i 1.12322 1.94547i
\(179\) −23419.7 + 13521.4i −0.730930 + 0.422003i −0.818762 0.574132i \(-0.805339\pi\)
0.0878321 + 0.996135i \(0.472006\pi\)
\(180\) 61190.2 13966.3i 1.88859 0.431058i
\(181\) −16190.1 2440.26i −0.494187 0.0744868i −0.102780 0.994704i \(-0.532774\pi\)
−0.391408 + 0.920217i \(0.628012\pi\)
\(182\) 37375.7 + 34679.6i 1.12836 + 1.04696i
\(183\) −15575.5 + 19531.1i −0.465094 + 0.583210i
\(184\) −48313.0 70862.2i −1.42701 2.09305i
\(185\) 319.220 296.193i 0.00932711 0.00865429i
\(186\) 11123.1 + 148428.i 0.321515 + 4.29032i
\(187\) 13055.5 33265.0i 0.373346 0.951270i
\(188\) −14604.2 + 63985.3i −0.413202 + 1.81036i
\(189\) −3238.29 + 998.879i −0.0906549 + 0.0279633i
\(190\) −28379.1 + 41624.5i −0.786125 + 1.15303i
\(191\) 7815.91 + 51855.2i 0.214246 + 1.42143i 0.794634 + 0.607089i \(0.207663\pi\)
−0.580388 + 0.814340i \(0.697099\pi\)
\(192\) 73367.4 28794.6i 1.99022 0.781104i
\(193\) 55340.6 26650.6i 1.48569 0.715472i 0.497327 0.867563i \(-0.334315\pi\)
0.988367 + 0.152091i \(0.0486006\pi\)
\(194\) −18732.9 38899.2i −0.497738 1.03356i
\(195\) −31703.8 80780.1i −0.833763 2.12439i
\(196\) 45565.2 6867.85i 1.18610 0.178776i
\(197\) −26309.6 17937.6i −0.677925 0.462201i 0.174771 0.984609i \(-0.444082\pi\)
−0.852696 + 0.522408i \(0.825034\pi\)
\(198\) −20934.6 67868.3i −0.533992 1.73116i
\(199\) −70825.7 16165.5i −1.78848 0.408209i −0.805602 0.592457i \(-0.798158\pi\)
−0.982880 + 0.184248i \(0.941015\pi\)
\(200\) 2464.12 + 967.095i 0.0616029 + 0.0241774i
\(201\) 26808.2 2008.99i 0.663552 0.0497263i
\(202\) −11221.8 12094.2i −0.275017 0.296397i
\(203\) 4463.29 3043.02i 0.108309 0.0738436i
\(204\) −88526.8 70597.7i −2.12723 1.69641i
\(205\) −13160.1 + 14183.2i −0.313149 + 0.337495i
\(206\) 12961.1 85991.3i 0.305427 2.02638i
\(207\) −20548.0 90026.9i −0.479545 2.10103i
\(208\) 13952.5 + 24166.4i 0.322496 + 0.558580i
\(209\) 31641.2 + 18268.1i 0.724370 + 0.418215i
\(210\) 57048.1 + 17597.0i 1.29361 + 0.399025i
\(211\) 13161.9 10496.3i 0.295634 0.235761i −0.464428 0.885611i \(-0.653740\pi\)
0.760062 + 0.649851i \(0.225169\pi\)
\(212\) −6519.83 + 87001.1i −0.145066 + 1.93577i
\(213\) −23538.7 11335.6i −0.518827 0.249854i
\(214\) 12803.7i 0.279580i
\(215\) 38141.4 + 23958.2i 0.825125 + 0.518295i
\(216\) −10121.6 −0.216941
\(217\) −20745.8 + 43079.0i −0.440565 + 0.914842i
\(218\) −32818.5 2459.41i −0.690567 0.0517508i
\(219\) −5289.84 6633.25i −0.110295 0.138305i
\(220\) −24178.3 + 78384.0i −0.499551 + 1.61950i
\(221\) −41248.3 + 71444.2i −0.844543 + 1.46279i
\(222\) −1352.21 + 780.701i −0.0274372 + 0.0158409i
\(223\) −10325.8 + 2356.79i −0.207641 + 0.0473927i −0.325076 0.945688i \(-0.605390\pi\)
0.117435 + 0.993081i \(0.462533\pi\)
\(224\) 18218.7 + 2746.02i 0.363095 + 0.0547278i
\(225\) 2089.28 + 1938.57i 0.0412697 + 0.0382927i
\(226\) −9531.93 + 11952.7i −0.186623 + 0.234017i
\(227\) −22416.0 32878.2i −0.435017 0.638052i 0.544655 0.838660i \(-0.316661\pi\)
−0.979672 + 0.200608i \(0.935708\pi\)
\(228\) 84863.8 78742.1i 1.63250 1.51474i
\(229\) −2046.16 27304.1i −0.0390184 0.520664i −0.982132 0.188193i \(-0.939737\pi\)
0.943114 0.332470i \(-0.107882\pi\)
\(230\) −60795.8 + 154905.i −1.14926 + 2.92826i
\(231\) 9634.46 42211.3i 0.180552 0.791052i
\(232\) 15417.4 4755.65i 0.286442 0.0883555i
\(233\) 5094.52 7472.28i 0.0938407 0.137639i −0.776447 0.630182i \(-0.782980\pi\)
0.870288 + 0.492543i \(0.163933\pi\)
\(234\) 24437.3 + 162131.i 0.446294 + 2.96097i
\(235\) 52119.1 20455.2i 0.943758 0.370398i
\(236\) −94194.9 + 45361.9i −1.69123 + 0.814455i
\(237\) 9091.55 + 18878.8i 0.161861 + 0.336107i
\(238\) −20734.8 52831.3i −0.366054 0.932690i
\(239\) 62490.5 9418.93i 1.09400 0.164894i 0.422840 0.906204i \(-0.361033\pi\)
0.671163 + 0.741310i \(0.265795\pi\)
\(240\) 26996.7 + 18406.0i 0.468692 + 0.319549i
\(241\) −21516.7 69755.4i −0.370460 1.20100i −0.928545 0.371219i \(-0.878940\pi\)
0.558085 0.829784i \(-0.311536\pi\)
\(242\) −4781.45 1091.34i −0.0816449 0.0186349i
\(243\) 78881.4 + 30958.7i 1.33586 + 0.524288i
\(244\) −54361.1 + 4073.80i −0.913080 + 0.0684259i
\(245\) −26738.0 28816.7i −0.445448 0.480078i
\(246\) 57319.8 39080.0i 0.947184 0.645779i
\(247\) −65944.1 52588.6i −1.08089 0.861982i
\(248\) −97134.5 + 104686.i −1.57932 + 1.70210i
\(249\) −24837.1 + 164784.i −0.400593 + 2.65776i
\(250\) −23756.9 104086.i −0.380110 1.66537i
\(251\) −13189.2 22844.4i −0.209350 0.362604i 0.742160 0.670223i \(-0.233801\pi\)
−0.951510 + 0.307618i \(0.900468\pi\)
\(252\) −62607.1 36146.2i −0.985876 0.569196i
\(253\) 115323. + 35572.6i 1.80168 + 0.555743i
\(254\) −66104.9 + 52716.9i −1.02463 + 0.817113i
\(255\) −7218.64 + 96326.0i −0.111013 + 1.48137i
\(256\) 91773.1 + 44195.6i 1.40035 + 0.674371i
\(257\) 32495.5i 0.491990i −0.969271 0.245995i \(-0.920885\pi\)
0.969271 0.245995i \(-0.0791147\pi\)
\(258\) −114215. 114182.i −1.71586 1.71537i
\(259\) −501.578 −0.00747721
\(260\) 82163.2 170614.i 1.21543 2.52387i
\(261\) 17323.0 + 1298.18i 0.254297 + 0.0190570i
\(262\) −68375.4 85740.0i −0.996087 1.24905i
\(263\) −8967.75 + 29072.7i −0.129650 + 0.420314i −0.997002 0.0773812i \(-0.975344\pi\)
0.867352 + 0.497696i \(0.165820\pi\)
\(264\) 64658.4 111992.i 0.927720 1.60686i
\(265\) 64457.0 37214.2i 0.917863 0.529929i
\(266\) 56571.7 12912.1i 0.799532 0.182488i
\(267\) 137975. + 20796.3i 1.93543 + 0.291718i
\(268\) 43003.9 + 39901.8i 0.598741 + 0.555550i
\(269\) 3753.37 4706.57i 0.0518700 0.0650430i −0.755220 0.655472i \(-0.772470\pi\)
0.807090 + 0.590429i \(0.201041\pi\)
\(270\) 11063.0 + 16226.4i 0.151755 + 0.222584i
\(271\) −245.886 + 228.149i −0.00334807 + 0.00310656i −0.681845 0.731497i \(-0.738822\pi\)
0.678497 + 0.734603i \(0.262632\pi\)
\(272\) −2321.26 30975.0i −0.0313751 0.418672i
\(273\) −36517.0 + 93043.8i −0.489970 + 1.24842i
\(274\) −20263.2 + 88778.7i −0.269902 + 1.18252i
\(275\) −3559.42 + 1097.94i −0.0470667 + 0.0145182i
\(276\) 215414. 315955.i 2.82785 4.14769i
\(277\) 7395.14 + 49063.5i 0.0963800 + 0.639439i 0.983907 + 0.178683i \(0.0571837\pi\)
−0.887527 + 0.460756i \(0.847578\pi\)
\(278\) −58317.8 + 22888.0i −0.754591 + 0.296155i
\(279\) −138533. + 66714.2i −1.77970 + 0.857057i
\(280\) 24852.7 + 51607.2i 0.316999 + 0.658255i
\(281\) 27235.6 + 69395.2i 0.344925 + 0.878854i 0.993090 + 0.117354i \(0.0374413\pi\)
−0.648165 + 0.761500i \(0.724463\pi\)
\(282\) −198512. + 29920.9i −2.49625 + 0.376250i
\(283\) 39604.7 + 27002.1i 0.494509 + 0.337151i 0.784760 0.619800i \(-0.212786\pi\)
−0.290251 + 0.956951i \(0.593739\pi\)
\(284\) −16804.4 54478.6i −0.208347 0.675444i
\(285\) −96284.9 21976.4i −1.18541 0.270562i
\(286\) −199475. 78288.2i −2.43869 0.957115i
\(287\) 22223.2 1665.40i 0.269801 0.0202188i
\(288\) 40299.8 + 43432.8i 0.485867 + 0.523641i
\(289\) 6864.88 4680.40i 0.0821935 0.0560386i
\(290\) −24475.3 19518.4i −0.291026 0.232085i
\(291\) 57569.5 62045.2i 0.679840 0.732693i
\(292\) 2759.39 18307.4i 0.0323629 0.214714i
\(293\) −18921.0 82898.3i −0.220399 0.965629i −0.957179 0.289497i \(-0.906512\pi\)
0.736780 0.676132i \(-0.236345\pi\)
\(294\) 70475.6 + 122067.i 0.815350 + 1.41223i
\(295\) 77240.8 + 44595.0i 0.887570 + 0.512439i
\(296\) −1431.53 441.569i −0.0163387 0.00503982i
\(297\) 11135.5 8880.23i 0.126239 0.100673i
\(298\) −4426.92 + 59073.1i −0.0498504 + 0.665208i
\(299\) −251017. 120884.i −2.80777 1.35215i
\(300\) 11802.7i 0.131141i
\(301\) −13434.7 50110.1i −0.148284 0.553086i
\(302\) 262157. 2.87440
\(303\) 14033.2 29140.3i 0.152853 0.317402i
\(304\) 31669.2 + 2373.28i 0.342681 + 0.0256804i
\(305\) 28995.6 + 36359.3i 0.311697 + 0.390855i
\(306\) 53796.1 174403.i 0.574524 1.86256i
\(307\) −70025.8 + 121288.i −0.742987 + 1.28689i 0.208142 + 0.978099i \(0.433258\pi\)
−0.951129 + 0.308793i \(0.900075\pi\)
\(308\) 81823.4 47240.8i 0.862534 0.497984i
\(309\) 166206. 37935.5i 1.74073 0.397309i
\(310\) 273995. + 41298.1i 2.85114 + 0.429741i
\(311\) 60022.7 + 55692.9i 0.620576 + 0.575810i 0.926523 0.376238i \(-0.122783\pi\)
−0.305947 + 0.952048i \(0.598973\pi\)
\(312\) −186133. + 233404.i −1.91212 + 2.39772i
\(313\) 65929.8 + 96701.3i 0.672966 + 0.987060i 0.999128 + 0.0417459i \(0.0132920\pi\)
−0.326162 + 0.945314i \(0.605756\pi\)
\(314\) −12678.7 + 11764.1i −0.128593 + 0.119317i
\(315\) 4608.78 + 61500.0i 0.0464478 + 0.619803i
\(316\) −16705.3 + 42564.3i −0.167294 + 0.426257i
\(317\) 38948.9 170646.i 0.387593 1.69816i −0.285317 0.958433i \(-0.592099\pi\)
0.672910 0.739724i \(-0.265044\pi\)
\(318\) −255013. + 78661.0i −2.52178 + 0.777867i
\(319\) −12789.4 + 18758.5i −0.125680 + 0.184339i
\(320\) −21868.1 145085.i −0.213555 1.41685i
\(321\) −23365.1 + 9170.11i −0.226755 + 0.0889948i
\(322\) 172690. 83163.2i 1.66554 0.802084i
\(323\) 40736.4 + 84589.9i 0.390460 + 0.810800i
\(324\) 59757.9 + 152261.i 0.569253 + 1.45043i
\(325\) 8503.11 1281.64i 0.0805028 0.0121338i
\(326\) −150154. 102373.i −1.41287 0.963278i
\(327\) −19016.8 61651.1i −0.177846 0.576561i
\(328\) 64892.4 + 14811.3i 0.603179 + 0.137672i
\(329\) −60031.6 23560.7i −0.554610 0.217668i
\(330\) −250210. + 18750.7i −2.29761 + 0.172182i
\(331\) −30083.5 32422.3i −0.274582 0.295929i 0.580672 0.814137i \(-0.302790\pi\)
−0.855255 + 0.518208i \(0.826599\pi\)
\(332\) −300461. + 204851.i −2.72591 + 1.85850i
\(333\) −1261.08 1005.67i −0.0113724 0.00906920i
\(334\) 151657. 163447.i 1.35947 1.46516i
\(335\) 7459.01 49487.3i 0.0664648 0.440965i
\(336\) −8374.49 36691.1i −0.0741788 0.324999i
\(337\) 36856.5 + 63837.3i 0.324529 + 0.562101i 0.981417 0.191887i \(-0.0614608\pi\)
−0.656888 + 0.753988i \(0.728127\pi\)
\(338\) 263317. + 152026.i 2.30486 + 1.33071i
\(339\) −28639.0 8833.96i −0.249206 0.0768698i
\(340\) −164802. + 131425.i −1.42563 + 1.13690i
\(341\) 15017.4 200393.i 0.129147 1.72335i
\(342\) 168122. + 80963.5i 1.43739 + 0.692209i
\(343\) 112647.i 0.957480i
\(344\) 5771.58 154844.i 0.0487728 1.30851i
\(345\) −326225. −2.74081
\(346\) −12009.6 + 24938.3i −0.100318 + 0.208312i
\(347\) 197519. + 14802.0i 1.64040 + 0.122931i 0.862704 0.505709i \(-0.168769\pi\)
0.777697 + 0.628640i \(0.216388\pi\)
\(348\) 44852.6 + 56243.4i 0.370364 + 0.464422i
\(349\) −12298.1 + 39869.3i −0.100968 + 0.327332i −0.991937 0.126734i \(-0.959551\pi\)
0.890968 + 0.454065i \(0.150027\pi\)
\(350\) −2957.94 + 5123.31i −0.0241465 + 0.0418229i
\(351\) −28475.1 + 16440.1i −0.231127 + 0.133441i
\(352\) −75493.6 + 17230.9i −0.609291 + 0.139067i
\(353\) −95097.2 14333.6i −0.763165 0.115029i −0.244084 0.969754i \(-0.578487\pi\)
−0.519080 + 0.854725i \(0.673725\pi\)
\(354\) −234428. 217517.i −1.87070 1.73575i
\(355\) −30324.2 + 38025.4i −0.240621 + 0.301729i
\(356\) 171523. + 251578.i 1.35339 + 1.98506i
\(357\) 81560.1 75676.7i 0.639943 0.593780i
\(358\) −13489.5 180004.i −0.105252 1.40448i
\(359\) 29281.2 74607.3i 0.227196 0.578885i −0.771133 0.636674i \(-0.780310\pi\)
0.998329 + 0.0577889i \(0.0184050\pi\)
\(360\) −40988.3 + 179582.i −0.316268 + 1.38566i
\(361\) 32803.9 10118.7i 0.251716 0.0776441i
\(362\) 61564.4 90298.4i 0.469800 0.689069i
\(363\) −1432.98 9507.18i −0.0108749 0.0721503i
\(364\) −203038. + 79686.6i −1.53241 + 0.601427i
\(365\) −14230.2 + 6852.91i −0.106813 + 0.0514386i
\(366\) −72349.4 150235.i −0.540098 1.12153i
\(367\) 5933.87 + 15119.3i 0.0440561 + 0.112253i 0.951208 0.308550i \(-0.0998436\pi\)
−0.907152 + 0.420803i \(0.861748\pi\)
\(368\) 103731. 15634.9i 0.765969 0.115451i
\(369\) 59213.1 + 40370.8i 0.434876 + 0.296493i
\(370\) 856.771 + 2777.58i 0.00625837 + 0.0202891i
\(371\) −83578.5 19076.3i −0.607221 0.138594i
\(372\) −592728. 232628.i −4.28321 1.68104i
\(373\) 208645. 15635.8i 1.49965 0.112383i 0.700560 0.713593i \(-0.252933\pi\)
0.799091 + 0.601210i \(0.205314\pi\)
\(374\) 162242. + 174855.i 1.15990 + 1.25007i
\(375\) 172928. 117901.i 1.22971 0.838404i
\(376\) −150592. 120093.i −1.06518 0.849456i
\(377\) 35649.4 38420.9i 0.250824 0.270324i
\(378\) 3371.39 22367.7i 0.0235953 0.156544i
\(379\) −7382.01 32342.7i −0.0513921 0.225163i 0.942710 0.333614i \(-0.108268\pi\)
−0.994102 + 0.108451i \(0.965411\pi\)
\(380\) −107757. 186641.i −0.746241 1.29253i
\(381\) −143547. 82876.7i −0.988879 0.570930i
\(382\) −334489. 103176.i −2.29221 0.707054i
\(383\) −225653. + 179953.i −1.53831 + 1.22676i −0.657339 + 0.753595i \(0.728318\pi\)
−0.880972 + 0.473168i \(0.843110\pi\)
\(384\) −29040.8 + 387523.i −0.196946 + 2.62806i
\(385\) −72619.8 34971.8i −0.489929 0.235938i
\(386\) 409998.i 2.75174i
\(387\) 66694.1 152924.i 0.445313 1.02107i
\(388\) 184699. 1.22687
\(389\) −37942.8 + 78789.1i −0.250744 + 0.520675i −0.987908 0.155038i \(-0.950450\pi\)
0.737165 + 0.675713i \(0.236164\pi\)
\(390\) 577624. + 43286.9i 3.79766 + 0.284595i
\(391\) 193361. + 242467.i 1.26478 + 1.58599i
\(392\) −39861.4 + 129227.i −0.259406 + 0.840974i
\(393\) 107494. 186184.i 0.695981 1.20548i
\(394\) 184072. 106274.i 1.18575 0.684595i
\(395\) 38030.0 8680.09i 0.243743 0.0556327i
\(396\) 300440. + 45284.1i 1.91588 + 0.288772i
\(397\) −215999. 200418.i −1.37047 1.27161i −0.926865 0.375394i \(-0.877507\pi\)
−0.443610 0.896220i \(-0.646302\pi\)
\(398\) 302340. 379122.i 1.90866 2.39339i
\(399\) 64080.2 + 93988.5i 0.402512 + 0.590376i
\(400\) −2373.46 + 2202.25i −0.0148341 + 0.0137640i
\(401\) −2655.60 35436.5i −0.0165148 0.220375i −0.999355 0.0359150i \(-0.988565\pi\)
0.982840 0.184460i \(-0.0590536\pi\)
\(402\) −65558.5 + 167040.i −0.405674 + 1.03364i
\(403\) −103231. + 452285.i −0.635624 + 2.78485i
\(404\) 67443.3 20803.5i 0.413215 0.127460i
\(405\) 78605.0 115292.i 0.479226 0.702895i
\(406\) 5374.11 + 35654.9i 0.0326028 + 0.216305i
\(407\) 1962.33 770.160i 0.0118463 0.00464935i
\(408\) 299399. 144183.i 1.79858 0.866152i
\(409\) −93671.6 194511.i −0.559965 1.16278i −0.968264 0.249932i \(-0.919592\pi\)
0.408298 0.912849i \(-0.366122\pi\)
\(410\) −47183.0 120220.i −0.280684 0.715172i
\(411\) −176523. + 26606.5i −1.04500 + 0.157509i
\(412\) 307376. + 209566.i 1.81082 + 1.23460i
\(413\) −30280.3 98166.4i −0.177525 0.575523i
\(414\) 600924. + 137157.i 3.50606 + 0.800235i
\(415\) 288783. + 113339.i 1.67678 + 0.658086i
\(416\) 178263. 13359.0i 1.03009 0.0771946i
\(417\) −83535.6 90030.0i −0.480396 0.517744i
\(418\) −201500. + 137381.i −1.15325 + 0.786272i
\(419\) 185934. + 148277.i 1.05908 + 0.844592i 0.988242 0.152896i \(-0.0488599\pi\)
0.0708423 + 0.997488i \(0.477431\pi\)
\(420\) −173712. + 187217.i −0.984761 + 1.06132i
\(421\) 10108.8 67067.8i 0.0570344 0.378399i −0.942044 0.335488i \(-0.891099\pi\)
0.999079 0.0429107i \(-0.0136631\pi\)
\(422\) 25004.9 + 109554.i 0.140411 + 0.615180i
\(423\) −103693. 179601.i −0.579519 1.00376i
\(424\) −221744. 128024.i −1.23344 0.712130i
\(425\) −9146.73 2821.39i −0.0506393 0.0156202i
\(426\) 136343. 108730.i 0.751300 0.599142i
\(427\) 4002.96 53415.8i 0.0219546 0.292964i
\(428\) −49348.8 23765.1i −0.269395 0.129734i
\(429\) 420088.i 2.28258i
\(430\) −254546. + 159993.i −1.37667 + 0.865293i
\(431\) −130453. −0.702260 −0.351130 0.936327i \(-0.614203\pi\)
−0.351130 + 0.936327i \(0.614203\pi\)
\(432\) 5371.55 11154.1i 0.0287827 0.0597679i
\(433\) −123279. 9238.46i −0.657525 0.0492747i −0.258210 0.966089i \(-0.583133\pi\)
−0.399314 + 0.916814i \(0.630752\pi\)
\(434\) −198991. 249526.i −1.05646 1.32476i
\(435\) 18089.1 58643.6i 0.0955960 0.309914i
\(436\) 70394.3 121927.i 0.370309 0.641394i
\(437\) −274598. + 158539.i −1.43792 + 0.830182i
\(438\) 55212.0 12601.8i 0.287796 0.0656876i
\(439\) −11632.3 1753.29i −0.0603585 0.00909758i 0.118794 0.992919i \(-0.462097\pi\)
−0.179152 + 0.983821i \(0.557335\pi\)
\(440\) −176473. 163743.i −0.911534 0.845780i
\(441\) −90784.4 + 113840.i −0.466803 + 0.585353i
\(442\) −310198. 454977.i −1.58780 2.32887i
\(443\) −78024.6 + 72396.3i −0.397580 + 0.368900i −0.853475 0.521133i \(-0.825509\pi\)
0.455896 + 0.890033i \(0.349319\pi\)
\(444\) −499.164 6660.88i −0.00253208 0.0337882i
\(445\) 94899.5 241800.i 0.479230 1.22106i
\(446\) 15731.5 68924.0i 0.0790859 0.346498i
\(447\) −110972. + 34230.2i −0.555388 + 0.171315i
\(448\) −95200.6 + 139634.i −0.474333 + 0.695719i
\(449\) 2786.01 + 18483.9i 0.0138194 + 0.0916858i 0.994677 0.103039i \(-0.0328567\pi\)
−0.980858 + 0.194725i \(0.937619\pi\)
\(450\) −17709.2 + 6950.36i −0.0874530 + 0.0343228i
\(451\) −84387.1 + 40638.7i −0.414881 + 0.199796i
\(452\) −28376.4 58924.2i −0.138893 0.288415i
\(453\) 187759. + 478403.i 0.914966 + 2.33130i
\(454\) 262647. 39587.6i 1.27427 0.192065i
\(455\) 153741. + 104819.i 0.742622 + 0.506311i
\(456\) 100145. + 324662.i 0.481614 + 1.56135i
\(457\) −69693.5 15907.1i −0.333703 0.0761654i 0.0523866 0.998627i \(-0.483317\pi\)
−0.386089 + 0.922461i \(0.626174\pi\)
\(458\) 170131. + 66771.4i 0.811058 + 0.318317i
\(459\) 36497.7 2735.12i 0.173237 0.0129823i
\(460\) −484202. 521846.i −2.28829 2.46619i
\(461\) −294649. + 200888.i −1.38645 + 0.945263i −0.386712 + 0.922201i \(0.626389\pi\)
−0.999734 + 0.0230623i \(0.992658\pi\)
\(462\) 225953. + 180191.i 1.05860 + 0.844208i
\(463\) −207715. + 223863.i −0.968959 + 1.04429i 0.0300400 + 0.999549i \(0.490437\pi\)
−0.998999 + 0.0447403i \(0.985754\pi\)
\(464\) −2941.26 + 19514.0i −0.0136615 + 0.0906380i
\(465\) 120874. + 529584.i 0.559020 + 2.44923i
\(466\) 30183.2 + 52278.8i 0.138993 + 0.240743i
\(467\) −40224.6 23223.7i −0.184441 0.106487i 0.404936 0.914345i \(-0.367294\pi\)
−0.589378 + 0.807858i \(0.700627\pi\)
\(468\) −670255. 206746.i −3.06019 0.943943i
\(469\) −45068.0 + 35940.5i −0.204891 + 0.163395i
\(470\) −27928.6 + 372681.i −0.126431 + 1.68710i
\(471\) −30548.7 14711.5i −0.137705 0.0663154i
\(472\) 306830.i 1.37725i
\(473\) 129503. + 175418.i 0.578841 + 0.784066i
\(474\) −139866. −0.622523
\(475\) 4246.21 8817.34i 0.0188198 0.0390796i
\(476\) 242112. + 18143.8i 1.06857 + 0.0800783i
\(477\) −171886. 215538.i −0.755447 0.947301i
\(478\) −124337. + 403091.i −0.544183 + 1.76420i
\(479\) 191569. 331807.i 0.834938 1.44616i −0.0591429 0.998250i \(-0.518837\pi\)
0.894081 0.447906i \(-0.147830\pi\)
\(480\) 181272. 104658.i 0.786773 0.454243i
\(481\) −4744.55 + 1082.91i −0.0205071 + 0.00468062i
\(482\) 481819. + 72622.5i 2.07391 + 0.312591i
\(483\) 275445. + 255576.i 1.18070 + 1.09553i
\(484\) 13081.3 16403.4i 0.0558417 0.0700233i
\(485\) −88759.9 130187.i −0.377341 0.553457i
\(486\) −414635. + 384725.i −1.75547 + 1.62884i
\(487\) −19397.4 258840.i −0.0817871 1.09137i −0.875544 0.483138i \(-0.839497\pi\)
0.793757 0.608235i \(-0.208122\pi\)
\(488\) 58449.7 148928.i 0.245439 0.625368i
\(489\) 79276.6 347333.i 0.331533 1.45254i
\(490\) 250738. 77342.6i 1.04431 0.322127i
\(491\) 25668.7 37649.1i 0.106473 0.156168i −0.769304 0.638883i \(-0.779397\pi\)
0.875778 + 0.482715i \(0.160349\pi\)
\(492\) 44232.5 + 293463.i 0.182730 + 1.21234i
\(493\) −54308.8 + 21314.6i −0.223448 + 0.0876969i
\(494\) 507248. 244278.i 2.07858 1.00099i
\(495\) −112462. 233531.i −0.458984 0.953089i
\(496\) −63815.9 162600.i −0.259397 0.660934i
\(497\) 55394.4 8349.36i 0.224260 0.0338018i
\(498\) −919063. 626607.i −3.70584 2.52660i
\(499\) 106663. + 345794.i 0.428365 + 1.38873i 0.870673 + 0.491863i \(0.163684\pi\)
−0.442307 + 0.896864i \(0.645840\pi\)
\(500\) 445270. + 101630.i 1.78108 + 0.406520i
\(501\) 406888. + 159692.i 1.62106 + 0.636220i
\(502\) 175583. 13158.1i 0.696745 0.0522138i
\(503\) −223169. 240519.i −0.882059 0.950634i 0.117038 0.993127i \(-0.462660\pi\)
−0.999097 + 0.0424940i \(0.986470\pi\)
\(504\) 175298. 119516.i 0.690108 0.470508i
\(505\) −47074.6 37540.7i −0.184588 0.147204i
\(506\) −547924. + 590522.i −2.14003 + 2.30640i
\(507\) −88838.2 + 589403.i −0.345608 + 2.29296i
\(508\) −80486.6 352635.i −0.311886 1.36646i
\(509\) 104841. + 181590.i 0.404665 + 0.700900i 0.994282 0.106783i \(-0.0340549\pi\)
−0.589618 + 0.807682i \(0.700722\pi\)
\(510\) −558390. 322387.i −2.14683 1.23947i
\(511\) 17384.0 + 5362.24i 0.0665743 + 0.0205355i
\(512\) −160079. + 127659.i −0.610655 + 0.486981i
\(513\) −2796.42 + 37315.7i −0.0106260 + 0.141794i
\(514\) 195425. + 94111.7i 0.739697 + 0.356219i
\(515\) 317368.i 1.19660i
\(516\) 652084. 228279.i 2.44909 0.857368i
\(517\) 271039. 1.01403
\(518\) 1452.65 3016.45i 0.00541378 0.0112418i
\(519\) −54110.6 4055.03i −0.200885 0.0150543i
\(520\) 346508. + 434507.i 1.28146 + 1.60690i
\(521\) 21234.1 68839.3i 0.0782274 0.253607i −0.908008 0.418952i \(-0.862398\pi\)
0.986236 + 0.165345i \(0.0528738\pi\)
\(522\) −57977.1 + 100419.i −0.212773 + 0.368533i
\(523\) −140158. + 80920.2i −0.512406 + 0.295838i −0.733822 0.679342i \(-0.762265\pi\)
0.221416 + 0.975179i \(0.428932\pi\)
\(524\) 457378. 104394.i 1.66576 0.380199i
\(525\) −11467.9 1728.51i −0.0416069 0.00627123i
\(526\) −148869. 138130.i −0.538063 0.499249i
\(527\) 321970. 403737.i 1.15929 1.45371i
\(528\) 89101.8 + 130688.i 0.319609 + 0.468780i
\(529\) −562634. + 522048.i −2.01055 + 1.86552i
\(530\) 37126.4 + 495417.i 0.132169 + 1.76368i
\(531\) 120694. 307524.i 0.428053 1.09066i
\(532\) −55237.0 + 242009.i −0.195167 + 0.855084i
\(533\) 206619. 63733.5i 0.727304 0.224344i
\(534\) −524662. + 769538.i −1.83991 + 2.69866i
\(535\) 6964.25 + 46204.8i 0.0243314 + 0.161428i
\(536\) −160267. + 62900.2i −0.557846 + 0.218939i
\(537\) 318824. 153538.i 1.10561 0.532434i
\(538\) 17434.6 + 36203.4i 0.0602349 + 0.125079i
\(539\) −69524.0 177144.i −0.239308 0.609747i
\(540\) −83075.0 + 12521.5i −0.284894 + 0.0429408i
\(541\) 25046.9 + 17076.7i 0.0855775 + 0.0583457i 0.605353 0.795957i \(-0.293032\pi\)
−0.519775 + 0.854303i \(0.673984\pi\)
\(542\) −659.945 2139.49i −0.00224652 0.00728302i
\(543\) 208876. + 47674.7i 0.708418 + 0.161692i
\(544\) −185232. 72698.0i −0.625917 0.245655i
\(545\) −119770. + 8975.55i −0.403234 + 0.0302182i
\(546\) −453799. 489079.i −1.52222 1.64057i
\(547\) 299368. 204105.i 1.00053 0.682150i 0.0519381 0.998650i \(-0.483460\pi\)
0.948592 + 0.316500i \(0.102508\pi\)
\(548\) −304567. 242884.i −1.01419 0.808793i
\(549\) 117164. 126273.i 0.388731 0.418953i
\(550\) 3705.72 24585.8i 0.0122503 0.0812755i
\(551\) −13273.2 58153.8i −0.0437193 0.191547i
\(552\) 561137. + 971917.i 1.84158 + 3.18971i
\(553\) −38910.5 22465.0i −0.127238 0.0734609i
\(554\) −316482. 97621.6i −1.03117 0.318073i
\(555\) −4455.11 + 3552.83i −0.0144635 + 0.0115342i
\(556\) 20028.0 267256.i 0.0647871 0.864524i
\(557\) 288423. + 138897.i 0.929649 + 0.447695i 0.836506 0.547957i \(-0.184594\pi\)
0.0931427 + 0.995653i \(0.470309\pi\)
\(558\) 1.02634e6i 3.29628i
\(559\) −235270. 444998.i −0.752910 1.42408i
\(560\) −70061.0 −0.223409
\(561\) −202890. + 421304.i −0.644665 + 1.33866i
\(562\) −496215. 37186.2i −1.57108 0.117736i
\(563\) 81089.2 + 101683.i 0.255827 + 0.320797i 0.893115 0.449829i \(-0.148515\pi\)
−0.637288 + 0.770626i \(0.719944\pi\)
\(564\) 253139. 820656.i 0.795794 2.57990i
\(565\) −27896.7 + 48318.5i −0.0873888 + 0.151362i
\(566\) −277089. + 159978.i −0.864942 + 0.499374i
\(567\) −156693. + 35764.3i −0.487399 + 0.111246i
\(568\) 165449. + 24937.4i 0.512823 + 0.0772956i
\(569\) −135941. 126135.i −0.419881 0.389593i 0.441741 0.897143i \(-0.354361\pi\)
−0.861623 + 0.507550i \(0.830551\pi\)
\(570\) 411020. 515403.i 1.26507 1.58634i
\(571\) 70243.1 + 103028.i 0.215443 + 0.315996i 0.918713 0.394927i \(-0.129230\pi\)
−0.703270 + 0.710923i \(0.748278\pi\)
\(572\) 671994. 623519.i 2.05387 1.90571i
\(573\) −51280.9 684296.i −0.156187 2.08418i
\(574\) −54346.2 + 138472.i −0.164947 + 0.420279i
\(575\) 7193.33 31516.1i 0.0217568 0.0953227i
\(576\) −519323. + 160190.i −1.56528 + 0.482825i
\(577\) 180491. 264732.i 0.542132 0.795162i −0.453227 0.891395i \(-0.649727\pi\)
0.995359 + 0.0962336i \(0.0306796\pi\)
\(578\) 8265.79 + 54840.0i 0.0247417 + 0.164150i
\(579\) −748195. + 293645.i −2.23181 + 0.875922i
\(580\) 120658. 58105.9i 0.358675 0.172729i
\(581\) −155038. 321939.i −0.459288 0.953721i
\(582\) 206405. + 525910.i 0.609359 + 1.55262i
\(583\) 356277. 53700.1i 1.04822 0.157993i
\(584\) 44894.1 + 30608.3i 0.131633 + 0.0897455i
\(585\) 176374. + 571792.i 0.515376 + 1.67081i
\(586\) 553341. + 126297.i 1.61138 + 0.367787i
\(587\) 294053. + 115407.i 0.853393 + 0.334932i 0.751395 0.659852i \(-0.229381\pi\)
0.101998 + 0.994785i \(0.467476\pi\)
\(588\) −601292. + 45060.6i −1.73912 + 0.130329i
\(589\) 359113. + 387032.i 1.03514 + 1.11562i
\(590\) −491891. + 335366.i −1.41307 + 0.963418i
\(591\) 325770. + 259793.i 0.932689 + 0.743794i
\(592\) 1246.33 1343.22i 0.00355623 0.00383270i
\(593\) 41376.8 274517.i 0.117665 0.780656i −0.849700 0.527267i \(-0.823217\pi\)
0.967365 0.253389i \(-0.0815452\pi\)
\(594\) 21155.0 + 92686.2i 0.0599571 + 0.262689i
\(595\) −103562. 179375.i −0.292528 0.506673i
\(596\) −219467. 126709.i −0.617841 0.356711i
\(597\) 908389. + 280201.i 2.54873 + 0.786178i
\(598\) 1.45397e6 1.15950e6i 4.06586 3.24241i
\(599\) −10356.1 + 138193.i −0.0288631 + 0.385151i 0.964001 + 0.265899i \(0.0856688\pi\)
−0.992864 + 0.119252i \(0.961950\pi\)
\(600\) −31208.3 15029.1i −0.0866897 0.0417476i
\(601\) 124576.i 0.344894i 0.985019 + 0.172447i \(0.0551674\pi\)
−0.985019 + 0.172447i \(0.944833\pi\)
\(602\) 340267. + 64331.3i 0.938916 + 0.177513i
\(603\) −185372. −0.509811
\(604\) −486594. + 1.01042e6i −1.33381 + 2.76968i
\(605\) −17848.5 1337.56i −0.0487631 0.00365429i
\(606\) 134605. + 168789.i 0.366536 + 0.459621i
\(607\) −81825.9 + 265273.i −0.222082 + 0.719972i 0.774131 + 0.633026i \(0.218187\pi\)
−0.996213 + 0.0869468i \(0.972289\pi\)
\(608\) 101723. 176190.i 0.275178 0.476622i
\(609\) −61216.8 + 35343.5i −0.165058 + 0.0952961i
\(610\) −302638. + 69075.0i −0.813323 + 0.185636i
\(611\) −618720. 93257.1i −1.65734 0.249804i
\(612\) 572344. + 531058.i 1.52811 + 1.41788i
\(613\) 186206. 233495.i 0.495533 0.621379i −0.469682 0.882836i \(-0.655632\pi\)
0.965215 + 0.261457i \(0.0842029\pi\)
\(614\) −526612. 772398.i −1.39686 2.04882i
\(615\) 185594. 172206.i 0.490698 0.455301i
\(616\) 20721.5 + 276510.i 0.0546086 + 0.728701i
\(617\) −37660.4 + 95957.2i −0.0989270 + 0.252062i −0.971766 0.235946i \(-0.924181\pi\)
0.872839 + 0.488008i \(0.162276\pi\)
\(618\) −253217. + 1.10942e6i −0.663004 + 2.90481i
\(619\) −155020. + 47817.5i −0.404583 + 0.124797i −0.490366 0.871517i \(-0.663137\pi\)
0.0857832 + 0.996314i \(0.472661\pi\)
\(620\) −667741. + 979396.i −1.73710 + 2.54786i
\(621\) 18422.5 + 122225.i 0.0477711 + 0.316940i
\(622\) −508767. + 199676.i −1.31504 + 0.516114i
\(623\) −269562. + 129814.i −0.694516 + 0.334461i
\(624\) −158433. 328989.i −0.406889 0.844913i
\(625\) −135134. 344316.i −0.345944 0.881450i
\(626\) −772496. + 116435.i −1.97128 + 0.297122i
\(627\) −395019. 269319.i −1.00481 0.685066i
\(628\) −21808.9 70702.9i −0.0552988 0.179274i
\(629\) 5281.30 + 1205.42i 0.0133487 + 0.00304676i
\(630\) −383203. 150396.i −0.965491 0.378927i
\(631\) 406651. 30474.3i 1.02132 0.0765376i 0.446474 0.894797i \(-0.352680\pi\)
0.574850 + 0.818259i \(0.305061\pi\)
\(632\) −91275.5 98371.6i −0.228518 0.246284i
\(633\) −182013. + 124094.i −0.454250 + 0.309702i
\(634\) 913450. + 728452.i 2.27251 + 1.81227i
\(635\) −209880. + 226196.i −0.520503 + 0.560968i
\(636\) 170153. 1.12889e6i 0.420655 2.79086i
\(637\) 97756.8 + 428301.i 0.240917 + 1.05553i
\(638\) −75772.4 131242.i −0.186153 0.322426i
\(639\) 156014. + 90074.7i 0.382086 + 0.220598i
\(640\) 691298. + 213237.i 1.68774 + 0.520599i
\(641\) −421704. + 336298.i −1.02634 + 0.818480i −0.983556 0.180604i \(-0.942195\pi\)
−0.0427859 + 0.999084i \(0.513623\pi\)
\(642\) 12520.4 167074.i 0.0303773 0.405357i
\(643\) −283756. 136650.i −0.686315 0.330512i 0.0580225 0.998315i \(-0.481520\pi\)
−0.744338 + 0.667803i \(0.767235\pi\)
\(644\) 819956.i 1.97706i
\(645\) −474275. 349926.i −1.14002 0.841117i
\(646\) −626695. −1.50173
\(647\) 32255.2 66978.7i 0.0770533 0.160003i −0.858883 0.512171i \(-0.828841\pi\)
0.935937 + 0.352168i \(0.114556\pi\)
\(648\) −478697. 35873.4i −1.14002 0.0854323i
\(649\) 269198. + 337564.i 0.639120 + 0.801431i
\(650\) −16918.6 + 54848.8i −0.0400440 + 0.129820i
\(651\) 312835. 541847.i 0.738165 1.27854i
\(652\) 673279. 388718.i 1.58380 0.914406i
\(653\) −410728. + 93745.9i −0.963225 + 0.219850i −0.675086 0.737739i \(-0.735894\pi\)
−0.288139 + 0.957589i \(0.593036\pi\)
\(654\) 425840. + 64185.1i 0.995615 + 0.150065i
\(655\) −293384. 272220.i −0.683838 0.634509i
\(656\) −50760.6 + 63651.8i −0.117956 + 0.147912i
\(657\) 32955.6 + 48337.0i 0.0763482 + 0.111982i
\(658\) 315552. 292790.i 0.728819 0.676245i
\(659\) 28329.1 + 378026.i 0.0652322 + 0.870464i 0.929828 + 0.367995i \(0.119956\pi\)
−0.864595 + 0.502469i \(0.832425\pi\)
\(660\) 392150. 999182.i 0.900252 2.29381i
\(661\) 174137. 762945.i 0.398555 1.74619i −0.234535 0.972108i \(-0.575357\pi\)
0.633090 0.774078i \(-0.281786\pi\)
\(662\) 282111. 87019.8i 0.643731 0.198565i
\(663\) 608109. 891932.i 1.38342 2.02911i
\(664\) −159064. 1.05532e6i −0.360774 2.39358i
\(665\) 197128. 77367.0i 0.445764 0.174949i
\(666\) 9700.31 4671.42i 0.0218694 0.0105318i
\(667\) −85489.0 177520.i −0.192158 0.399020i
\(668\) 348476. + 887903.i 0.780945 + 1.98981i
\(669\) 137045. 20656.2i 0.306203 0.0461527i
\(670\) 276010. + 188180.i 0.614859 + 0.419204i
\(671\) 66357.6 + 215126.i 0.147382 + 0.477802i
\(672\) −235048. 53648.2i −0.520497 0.118800i
\(673\) −650354. 255245.i −1.43589 0.563544i −0.485395 0.874295i \(-0.661324\pi\)
−0.950491 + 0.310752i \(0.899419\pi\)
\(674\) −490654. + 36769.4i −1.08008 + 0.0809407i
\(675\) −2594.89 2796.63i −0.00569524 0.00613801i
\(676\) −1.07470e6 + 732717.i −2.35176 + 1.60340i
\(677\) 36556.7 + 29153.0i 0.0797609 + 0.0636072i 0.662559 0.749010i \(-0.269471\pi\)
−0.582798 + 0.812617i \(0.698042\pi\)
\(678\) 136069. 146648.i 0.296007 0.319019i
\(679\) −27049.2 + 179460.i −0.0586698 + 0.389249i
\(680\) −137658. 603118.i −0.297703 1.30432i
\(681\) 260353. + 450944.i 0.561394 + 0.972364i
\(682\) 1.16166e6 + 670682.i 2.49752 + 1.44194i
\(683\) −146368. 45148.7i −0.313766 0.0967841i 0.133873 0.990999i \(-0.457259\pi\)
−0.447639 + 0.894215i \(0.647735\pi\)
\(684\) −624111. + 497712.i −1.33398 + 1.06381i
\(685\) −24834.9 + 331399.i −0.0529275 + 0.706269i
\(686\) −677447. 326241.i −1.43955 0.693251i
\(687\) 358290.i 0.759138i
\(688\) 167577. + 88536.4i 0.354029 + 0.187044i
\(689\) −831775. −1.75213
\(690\) 944796. 1.96189e6i 1.98445 4.12075i
\(691\) 726278. + 54427.0i 1.52106 + 0.113988i 0.808865 0.587994i \(-0.200082\pi\)
0.712195 + 0.701982i \(0.247701\pi\)
\(692\) −73827.6 92576.8i −0.154172 0.193326i
\(693\) −87999.2 + 285286.i −0.183237 + 0.594039i
\(694\) −661063. + 1.14499e6i −1.37254 + 2.37730i
\(695\) −198003. + 114317.i −0.409923 + 0.236669i
\(696\) −205831. + 46979.6i −0.424905 + 0.0969819i
\(697\) −237999. 35872.5i −0.489902 0.0738408i
\(698\) −204154. 189427.i −0.419031 0.388804i
\(699\) −73784.8 + 92523.2i −0.151012 + 0.189364i
\(700\) −14256.3 20910.2i −0.0290945 0.0426739i
\(701\) 665319. 617326.i 1.35392 1.25626i 0.416020 0.909355i \(-0.363424\pi\)
0.937902 0.346901i \(-0.112766\pi\)
\(702\) −16401.3 218860.i −0.0332816 0.444112i
\(703\) −2023.45 + 5155.67i −0.00409433 + 0.0104322i
\(704\) 158051. 692469.i 0.318899 1.39719i
\(705\) −700099. + 215952.i −1.40858 + 0.434489i
\(706\) 361617. 530394.i 0.725503 1.06412i
\(707\) 10336.3 + 68577.0i 0.0206789 + 0.137195i
\(708\) 1.27350e6 499811.i 2.54057 0.997102i
\(709\) 505179. 243281.i 1.00497 0.483967i 0.142347 0.989817i \(-0.454535\pi\)
0.862622 + 0.505850i \(0.168821\pi\)
\(710\) −140858. 292495.i −0.279425 0.580231i
\(711\) −52786.6 134498.i −0.104420 0.266059i
\(712\) −883627. + 133185.i −1.74305 + 0.262722i
\(713\) 1.44095e6 + 982422.i 2.83445 + 1.93250i
\(714\) 218903. + 709666.i 0.429393 + 1.39206i
\(715\) −762432. 174020.i −1.49138 0.340398i
\(716\) 718824. + 282118.i 1.40216 + 0.550306i
\(717\) −824643. + 61798.4i −1.60409 + 0.120210i
\(718\) 363879. + 392169.i 0.705843 + 0.760718i
\(719\) 13257.3 9038.65i 0.0256446 0.0174842i −0.550430 0.834881i \(-0.685536\pi\)
0.576075 + 0.817397i \(0.304584\pi\)
\(720\) −176148. 140474.i −0.339792 0.270975i
\(721\) −248637. + 267967.i −0.478294 + 0.515479i
\(722\) −34152.2 + 226585.i −0.0655155 + 0.434667i
\(723\) 212557. + 931272.i 0.406629 + 1.78156i
\(724\) 233764. + 404891.i 0.445964 + 0.772433i
\(725\) 5266.59 + 3040.67i 0.0100197 + 0.00578486i
\(726\) 61325.5 + 18916.4i 0.116350 + 0.0358893i
\(727\) 308049. 245661.i 0.582842 0.464801i −0.287137 0.957889i \(-0.592704\pi\)
0.869979 + 0.493089i \(0.164132\pi\)
\(728\) 47836.8 638338.i 0.0902609 1.20445i
\(729\) −581007. 279798.i −1.09327 0.526490i
\(730\) 105426.i 0.197835i
\(731\) 21031.2 + 559915.i 0.0393576 + 1.04782i
\(732\) 713336. 1.33129
\(733\) −244005. + 506681.i −0.454140 + 0.943032i 0.540665 + 0.841238i \(0.318173\pi\)
−0.994805 + 0.101794i \(0.967542\pi\)
\(734\) −108111. 8101.83i −0.200669 0.0150380i
\(735\) 320722. + 402173.i 0.593682 + 0.744454i
\(736\) 198081. 642163.i 0.365668 1.18547i
\(737\) 121135. 209811.i 0.223015 0.386273i
\(738\) −414277. + 239183.i −0.760638 + 0.439154i
\(739\) 647379. 147760.i 1.18541 0.270563i 0.416030 0.909351i \(-0.363421\pi\)
0.769383 + 0.638788i \(0.220564\pi\)
\(740\) −12295.8 1853.30i −0.0224540 0.00338440i
\(741\) 809072. + 750709.i 1.47350 + 1.36721i
\(742\) 356779. 447387.i 0.648025 0.812597i
\(743\) −168826. 247623.i −0.305817 0.448552i 0.642309 0.766446i \(-0.277977\pi\)
−0.948126 + 0.317894i \(0.897024\pi\)
\(744\) 1.36987e6 1.27105e6i 2.47476 2.29624i
\(745\) 16155.9 + 215586.i 0.0291085 + 0.388426i
\(746\) −510235. + 1.30006e6i −0.916838 + 2.33606i
\(747\) 255696. 1.12028e6i 0.458229 2.00763i
\(748\) −975080. + 300772.i −1.74276 + 0.537570i
\(749\) 30318.2 44468.6i 0.0540430 0.0792665i
\(750\) 208218. + 1.38143e6i 0.370165 + 2.45588i
\(751\) −709252. + 278361.i −1.25754 + 0.493547i −0.898170 0.439649i \(-0.855103\pi\)
−0.359367 + 0.933196i \(0.617008\pi\)
\(752\) 212263. 102220.i 0.375351 0.180760i
\(753\) 149766. + 310992.i 0.264133 + 0.548479i
\(754\) 127814. + 325665.i 0.224821 + 0.572834i
\(755\) 946049. 142594.i 1.65966 0.250154i
\(756\) 79953.4 + 54511.3i 0.139892 + 0.0953769i