Properties

Label 43.5.h.a.5.4
Level 43
Weight 5
Character 43.5
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 5.4
Character \(\chi\) \(=\) 43.5
Dual form 43.5.h.a.26.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.91193 - 0.892874i) q^{2} +(-5.06803 + 16.4302i) q^{3} +(0.0905063 + 0.0435855i) q^{4} +(-31.2456 + 12.2630i) q^{5} +(34.4959 - 59.7486i) q^{6} +(70.0200 - 40.4261i) q^{7} +(49.8789 + 39.7771i) q^{8} +(-177.340 - 120.908i) q^{9} +O(q^{10})\) \(q+(-3.91193 - 0.892874i) q^{2} +(-5.06803 + 16.4302i) q^{3} +(0.0905063 + 0.0435855i) q^{4} +(-31.2456 + 12.2630i) q^{5} +(34.4959 - 59.7486i) q^{6} +(70.0200 - 40.4261i) q^{7} +(49.8789 + 39.7771i) q^{8} +(-177.340 - 120.908i) q^{9} +(133.180 - 20.0737i) q^{10} +(-25.6940 + 12.3736i) q^{11} +(-1.17481 + 1.26614i) q^{12} +(-36.1794 - 5.45317i) q^{13} +(-310.009 + 95.6251i) q^{14} +(-43.1292 - 575.519i) q^{15} +(-160.609 - 201.398i) q^{16} +(-36.6855 + 93.4731i) q^{17} +(585.785 + 631.326i) q^{18} +(-98.1119 - 143.904i) q^{19} +(-3.36241 - 0.251978i) q^{20} +(309.343 + 1355.32i) q^{21} +(111.561 - 25.4631i) q^{22} +(10.9831 - 146.559i) q^{23} +(-906.332 + 617.926i) q^{24} +(367.749 - 341.221i) q^{25} +(136.663 + 53.6361i) q^{26} +(1796.43 - 1432.61i) q^{27} +(8.09924 - 0.606954i) q^{28} +(-46.2674 - 149.995i) q^{29} +(-345.147 + 2289.90i) q^{30} +(-553.725 - 513.782i) q^{31} +(5.57887 + 11.5846i) q^{32} +(-73.0817 - 484.865i) q^{33} +(226.971 - 332.905i) q^{34} +(-1692.07 + 2121.79i) q^{35} +(-10.7805 - 18.6724i) q^{36} +(-1925.04 - 1111.42i) q^{37} +(255.319 + 650.543i) q^{38} +(272.955 - 566.797i) q^{39} +(-2046.28 - 631.195i) q^{40} +(191.337 - 838.301i) q^{41} -5578.13i q^{42} +(63.1739 + 1847.92i) q^{43} -2.86477 q^{44} +(7023.78 + 1603.13i) q^{45} +(-173.823 + 563.521i) q^{46} +(-1164.18 - 560.638i) q^{47} +(4122.97 - 1618.14i) q^{48} +(2068.03 - 3581.94i) q^{49} +(-1743.28 + 1006.48i) q^{50} +(-1349.85 - 1076.47i) q^{51} +(-3.03679 - 2.07045i) q^{52} +(-4506.96 + 679.315i) q^{53} +(-8306.66 + 4000.28i) q^{54} +(651.086 - 701.704i) q^{55} +(5100.55 + 768.785i) q^{56} +(2861.59 - 882.685i) q^{57} +(47.0683 + 628.083i) q^{58} +(2264.34 + 2839.39i) q^{59} +(21.1809 - 53.9679i) q^{60} +(1947.99 + 2099.43i) q^{61} +(1707.39 + 2504.29i) q^{62} +(-17305.2 - 1296.84i) q^{63} +(905.652 + 3967.92i) q^{64} +(1197.32 - 273.281i) q^{65} +(-147.033 + 1962.01i) q^{66} +(4340.69 - 2959.43i) q^{67} +(-7.39435 + 6.86095i) q^{68} +(2352.32 + 923.217i) q^{69} +(8513.77 - 6789.50i) q^{70} +(-9992.70 + 748.849i) q^{71} +(-4036.13 - 13084.8i) q^{72} +(994.170 - 6595.89i) q^{73} +(6538.28 + 6066.63i) q^{74} +(3742.55 + 7771.49i) q^{75} +(-2.60762 - 17.3005i) q^{76} +(-1298.88 + 1905.10i) q^{77} +(-1573.86 + 1973.56i) q^{78} +(-1966.00 - 3405.21i) q^{79} +(7488.07 + 4323.24i) q^{80} +(8081.96 + 20592.5i) q^{81} +(-1496.99 + 3108.54i) q^{82} +(-2422.05 - 747.104i) q^{83} +(-31.0749 + 136.148i) q^{84} -3370.50i q^{85} +(1402.83 - 7285.35i) q^{86} +2698.93 q^{87} +(-1773.77 - 404.852i) q^{88} +(-857.795 + 2780.90i) q^{89} +(-26045.2 - 12542.7i) q^{90} +(-2753.73 + 1080.76i) q^{91} +(7.38188 - 12.7858i) q^{92} +(11247.8 - 6493.92i) q^{93} +(4053.60 + 3232.64i) q^{94} +(4830.26 + 3293.21i) q^{95} +(-218.611 + 32.9503i) q^{96} +(2280.70 - 1098.33i) q^{97} +(-11288.2 + 12165.8i) q^{98} +(6052.62 + 912.286i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{25}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.91193 0.892874i −0.977984 0.223218i −0.296485 0.955038i \(-0.595814\pi\)
−0.681499 + 0.731819i \(0.738672\pi\)
\(3\) −5.06803 + 16.4302i −0.563115 + 1.82557i 0.00118053 + 0.999999i \(0.499624\pi\)
−0.564295 + 0.825573i \(0.690852\pi\)
\(4\) 0.0905063 + 0.0435855i 0.00565665 + 0.00272410i
\(5\) −31.2456 + 12.2630i −1.24982 + 0.490520i −0.895692 0.444676i \(-0.853319\pi\)
−0.354132 + 0.935195i \(0.615224\pi\)
\(6\) 34.4959 59.7486i 0.958218 1.65968i
\(7\) 70.0200 40.4261i 1.42898 0.825022i 0.431939 0.901903i \(-0.357830\pi\)
0.997040 + 0.0768812i \(0.0244962\pi\)
\(8\) 49.8789 + 39.7771i 0.779358 + 0.621517i
\(9\) −177.340 120.908i −2.18938 1.49269i
\(10\) 133.180 20.0737i 1.33180 0.200737i
\(11\) −25.6940 + 12.3736i −0.212347 + 0.102261i −0.537034 0.843561i \(-0.680455\pi\)
0.324687 + 0.945821i \(0.394741\pi\)
\(12\) −1.17481 + 1.26614i −0.00815838 + 0.00879264i
\(13\) −36.1794 5.45317i −0.214080 0.0322673i 0.0411267 0.999154i \(-0.486905\pi\)
−0.255206 + 0.966887i \(0.582143\pi\)
\(14\) −310.009 + 95.6251i −1.58168 + 0.487883i
\(15\) −43.1292 575.519i −0.191685 2.55786i
\(16\) −160.609 201.398i −0.627380 0.786709i
\(17\) −36.6855 + 93.4731i −0.126939 + 0.323436i −0.980188 0.198067i \(-0.936534\pi\)
0.853249 + 0.521504i \(0.174629\pi\)
\(18\) 585.785 + 631.326i 1.80798 + 1.94854i
\(19\) −98.1119 143.904i −0.271778 0.398625i 0.665949 0.745997i \(-0.268027\pi\)
−0.937728 + 0.347372i \(0.887074\pi\)
\(20\) −3.36241 0.251978i −0.00840603 0.000629945i
\(21\) 309.343 + 1355.32i 0.701458 + 3.07329i
\(22\) 111.561 25.4631i 0.230498 0.0526097i
\(23\) 10.9831 146.559i 0.0207619 0.277049i −0.977155 0.212530i \(-0.931830\pi\)
0.997916 0.0645187i \(-0.0205512\pi\)
\(24\) −906.332 + 617.926i −1.57349 + 1.07279i
\(25\) 367.749 341.221i 0.588398 0.545954i
\(26\) 136.663 + 53.6361i 0.202164 + 0.0793434i
\(27\) 1796.43 1432.61i 2.46424 1.96517i
\(28\) 8.09924 0.606954i 0.0103307 0.000774177i
\(29\) −46.2674 149.995i −0.0550148 0.178354i 0.923895 0.382646i \(-0.124987\pi\)
−0.978910 + 0.204292i \(0.934511\pi\)
\(30\) −345.147 + 2289.90i −0.383497 + 2.54434i
\(31\) −553.725 513.782i −0.576197 0.534632i 0.337343 0.941382i \(-0.390472\pi\)
−0.913540 + 0.406749i \(0.866662\pi\)
\(32\) 5.57887 + 11.5846i 0.00544811 + 0.0113131i
\(33\) −73.0817 484.865i −0.0671090 0.445239i
\(34\) 226.971 332.905i 0.196342 0.287980i
\(35\) −1692.07 + 2121.79i −1.38128 + 1.73207i
\(36\) −10.7805 18.6724i −0.00831830 0.0144077i
\(37\) −1925.04 1111.42i −1.40617 0.811850i −0.411150 0.911568i \(-0.634873\pi\)
−0.995016 + 0.0997172i \(0.968206\pi\)
\(38\) 255.319 + 650.543i 0.176814 + 0.450515i
\(39\) 272.955 566.797i 0.179458 0.372648i
\(40\) −2046.28 631.195i −1.27893 0.394497i
\(41\) 191.337 838.301i 0.113823 0.498692i −0.885591 0.464466i \(-0.846246\pi\)
0.999414 0.0342257i \(-0.0108965\pi\)
\(42\) 5578.13i 3.16220i
\(43\) 63.1739 + 1847.92i 0.0341665 + 0.999416i
\(44\) −2.86477 −0.00147974
\(45\) 7023.78 + 1603.13i 3.46853 + 0.791670i
\(46\) −173.823 + 563.521i −0.0821471 + 0.266314i
\(47\) −1164.18 560.638i −0.527015 0.253797i 0.151404 0.988472i \(-0.451620\pi\)
−0.678419 + 0.734675i \(0.737335\pi\)
\(48\) 4122.97 1618.14i 1.78948 0.702320i
\(49\) 2068.03 3581.94i 0.861321 1.49185i
\(50\) −1743.28 + 1006.48i −0.697311 + 0.402593i
\(51\) −1349.85 1076.47i −0.518975 0.413869i
\(52\) −3.03679 2.07045i −0.00112307 0.000765698i
\(53\) −4506.96 + 679.315i −1.60447 + 0.241835i −0.889370 0.457187i \(-0.848857\pi\)
−0.715100 + 0.699022i \(0.753619\pi\)
\(54\) −8306.66 + 4000.28i −2.84865 + 1.37184i
\(55\) 651.086 701.704i 0.215235 0.231968i
\(56\) 5100.55 + 768.785i 1.62645 + 0.245148i
\(57\) 2861.59 882.685i 0.880762 0.271679i
\(58\) 47.0683 + 628.083i 0.0139918 + 0.186707i
\(59\) 2264.34 + 2839.39i 0.650485 + 0.815682i 0.992270 0.124096i \(-0.0396030\pi\)
−0.341785 + 0.939778i \(0.611032\pi\)
\(60\) 21.1809 53.9679i 0.00588357 0.0149911i
\(61\) 1947.99 + 2099.43i 0.523511 + 0.564211i 0.938351 0.345683i \(-0.112353\pi\)
−0.414840 + 0.909894i \(0.636162\pi\)
\(62\) 1707.39 + 2504.29i 0.444171 + 0.651479i
\(63\) −17305.2 1296.84i −4.36008 0.326743i
\(64\) 905.652 + 3967.92i 0.221106 + 0.968730i
\(65\) 1197.32 273.281i 0.283389 0.0646818i
\(66\) −147.033 + 1962.01i −0.0337540 + 0.450416i
\(67\) 4340.69 2959.43i 0.966962 0.659264i 0.0266743 0.999644i \(-0.491508\pi\)
0.940288 + 0.340381i \(0.110556\pi\)
\(68\) −7.39435 + 6.86095i −0.00159912 + 0.00148377i
\(69\) 2352.32 + 923.217i 0.494081 + 0.193912i
\(70\) 8513.77 6789.50i 1.73750 1.38561i
\(71\) −9992.70 + 748.849i −1.98228 + 0.148552i −0.999369 0.0355057i \(-0.988696\pi\)
−0.982915 + 0.184057i \(0.941077\pi\)
\(72\) −4036.13 13084.8i −0.778575 2.52408i
\(73\) 994.170 6595.89i 0.186558 1.23773i −0.677947 0.735111i \(-0.737130\pi\)
0.864505 0.502624i \(-0.167632\pi\)
\(74\) 6538.28 + 6066.63i 1.19399 + 1.10786i
\(75\) 3742.55 + 7771.49i 0.665343 + 1.38160i
\(76\) −2.60762 17.3005i −0.000451459 0.00299523i
\(77\) −1298.88 + 1905.10i −0.219072 + 0.321319i
\(78\) −1573.86 + 1973.56i −0.258688 + 0.324385i
\(79\) −1966.00 3405.21i −0.315014 0.545620i 0.664427 0.747353i \(-0.268676\pi\)
−0.979440 + 0.201734i \(0.935342\pi\)
\(80\) 7488.07 + 4323.24i 1.17001 + 0.675506i
\(81\) 8081.96 + 20592.5i 1.23182 + 3.13862i
\(82\) −1496.99 + 3108.54i −0.222634 + 0.462305i
\(83\) −2422.05 747.104i −0.351582 0.108449i 0.113933 0.993488i \(-0.463655\pi\)
−0.465516 + 0.885040i \(0.654131\pi\)
\(84\) −31.0749 + 136.148i −0.00440403 + 0.0192953i
\(85\) 3370.50i 0.466505i
\(86\) 1402.83 7285.35i 0.189674 0.985039i
\(87\) 2698.93 0.356577
\(88\) −1773.77 404.852i −0.229051 0.0522794i
\(89\) −857.795 + 2780.90i −0.108294 + 0.351080i −0.993458 0.114199i \(-0.963570\pi\)
0.885164 + 0.465279i \(0.154046\pi\)
\(90\) −26045.2 12542.7i −3.21545 1.54848i
\(91\) −2753.73 + 1080.76i −0.332536 + 0.130511i
\(92\) 7.38188 12.7858i 0.000872150 0.00151061i
\(93\) 11247.8 6493.92i 1.30047 0.750829i
\(94\) 4053.60 + 3232.64i 0.458760 + 0.365849i
\(95\) 4830.26 + 3293.21i 0.535208 + 0.364899i
\(96\) −218.611 + 32.9503i −0.0237208 + 0.00357534i
\(97\) 2280.70 1098.33i 0.242395 0.116731i −0.308742 0.951146i \(-0.599908\pi\)
0.551138 + 0.834414i \(0.314194\pi\)
\(98\) −11288.2 + 12165.8i −1.17537 + 1.26674i
\(99\) 6052.62 + 912.286i 0.617551 + 0.0930809i
\(100\) 48.1559 14.8541i 0.00481559 0.00148541i
\(101\) −381.467 5090.32i −0.0373951 0.499002i −0.984184 0.177148i \(-0.943313\pi\)
0.946789 0.321854i \(-0.104306\pi\)
\(102\) 4319.39 + 5416.34i 0.415166 + 0.520602i
\(103\) −4095.63 + 10435.5i −0.386052 + 0.983645i 0.597314 + 0.802008i \(0.296235\pi\)
−0.983366 + 0.181637i \(0.941860\pi\)
\(104\) −1587.68 1711.11i −0.146790 0.158202i
\(105\) −26285.9 38554.3i −2.38421 3.49699i
\(106\) 18237.5 + 1366.71i 1.62313 + 0.121637i
\(107\) −9.46114 41.4520i −0.000826373 0.00362058i 0.974513 0.224331i \(-0.0720196\pi\)
−0.975339 + 0.220710i \(0.929162\pi\)
\(108\) 225.029 51.3615i 0.0192926 0.00440342i
\(109\) −767.053 + 10235.6i −0.0645613 + 0.861511i 0.867089 + 0.498154i \(0.165988\pi\)
−0.931650 + 0.363357i \(0.881631\pi\)
\(110\) −3173.54 + 2163.68i −0.262276 + 0.178817i
\(111\) 28017.0 25996.0i 2.27392 2.10989i
\(112\) −19387.6 7609.06i −1.54556 0.606590i
\(113\) 354.924 283.042i 0.0277957 0.0221664i −0.609493 0.792791i \(-0.708627\pi\)
0.637289 + 0.770625i \(0.280056\pi\)
\(114\) −11982.5 + 897.964i −0.922014 + 0.0690954i
\(115\) 1454.08 + 4714.00i 0.109949 + 0.356446i
\(116\) 2.35013 15.5921i 0.000174653 0.00115875i
\(117\) 5756.72 + 5341.45i 0.420536 + 0.390200i
\(118\) −6322.73 13129.3i −0.454088 0.942924i
\(119\) 1210.03 + 8028.04i 0.0854482 + 0.566912i
\(120\) 20741.2 30421.8i 1.44036 2.11263i
\(121\) −8621.44 + 10810.9i −0.588856 + 0.738402i
\(122\) −5745.87 9952.13i −0.386043 0.668646i
\(123\) 12803.7 + 7392.22i 0.846302 + 0.488613i
\(124\) −27.7222 70.6349i −0.00180295 0.00459384i
\(125\) 1796.16 3729.77i 0.114954 0.238705i
\(126\) 66538.7 + 20524.5i 4.19115 + 1.29280i
\(127\) −4011.81 + 17576.9i −0.248733 + 1.08977i 0.684080 + 0.729407i \(0.260204\pi\)
−0.932813 + 0.360362i \(0.882653\pi\)
\(128\) 16536.6i 1.00931i
\(129\) −30681.8 8327.36i −1.84375 0.500412i
\(130\) −4927.84 −0.291588
\(131\) −11812.8 2696.18i −0.688349 0.157111i −0.135981 0.990711i \(-0.543419\pi\)
−0.552368 + 0.833600i \(0.686276\pi\)
\(132\) 14.5188 47.0687i 0.000833262 0.00270137i
\(133\) −12687.3 6109.86i −0.717240 0.345404i
\(134\) −19622.9 + 7701.42i −1.09283 + 0.428905i
\(135\) −38562.5 + 66792.3i −2.11591 + 3.66487i
\(136\) −5547.92 + 3203.09i −0.299953 + 0.173178i
\(137\) −3044.50 2427.91i −0.162209 0.129357i 0.539021 0.842292i \(-0.318794\pi\)
−0.701230 + 0.712935i \(0.747366\pi\)
\(138\) −8377.80 5711.89i −0.439918 0.299931i
\(139\) −19136.5 + 2884.37i −0.990452 + 0.149287i −0.624230 0.781241i \(-0.714587\pi\)
−0.366222 + 0.930527i \(0.619349\pi\)
\(140\) −245.623 + 118.286i −0.0125318 + 0.00603498i
\(141\) 15111.4 16286.3i 0.760095 0.819188i
\(142\) 39759.4 + 5992.77i 1.97180 + 0.297201i
\(143\) 997.068 307.555i 0.0487588 0.0150401i
\(144\) 4131.78 + 55134.7i 0.199256 + 2.65889i
\(145\) 3285.05 + 4119.32i 0.156245 + 0.195925i
\(146\) −9778.42 + 24915.0i −0.458736 + 1.16884i
\(147\) 48370.9 + 52131.5i 2.23846 + 2.41249i
\(148\) −125.786 184.495i −0.00574262 0.00842288i
\(149\) 17146.5 + 1284.95i 0.772331 + 0.0578782i 0.455065 0.890458i \(-0.349616\pi\)
0.317266 + 0.948337i \(0.397235\pi\)
\(150\) −7701.66 33743.2i −0.342296 1.49970i
\(151\) −20530.6 + 4685.99i −0.900428 + 0.205517i −0.647587 0.761991i \(-0.724222\pi\)
−0.252840 + 0.967508i \(0.581365\pi\)
\(152\) 830.359 11080.4i 0.0359400 0.479587i
\(153\) 17807.5 12140.9i 0.760710 0.518643i
\(154\) 6782.13 6292.90i 0.285973 0.265344i
\(155\) 23602.0 + 9263.09i 0.982392 + 0.385560i
\(156\) 49.4083 39.4018i 0.00203026 0.00161908i
\(157\) −6149.89 + 460.871i −0.249499 + 0.0186973i −0.198892 0.980021i \(-0.563734\pi\)
−0.0506063 + 0.998719i \(0.516115\pi\)
\(158\) 4650.44 + 15076.4i 0.186286 + 0.603924i
\(159\) 11680.2 77492.8i 0.462013 3.06526i
\(160\) −316.377 293.555i −0.0123585 0.0114670i
\(161\) −5155.76 10706.0i −0.198903 0.413026i
\(162\) −13229.6 87772.7i −0.504100 3.34449i
\(163\) 16071.3 23572.3i 0.604889 0.887209i −0.394611 0.918848i \(-0.629121\pi\)
0.999499 + 0.0316396i \(0.0100729\pi\)
\(164\) 53.8550 67.5320i 0.00200234 0.00251086i
\(165\) 8229.38 + 14253.7i 0.302273 + 0.523552i
\(166\) 8807.83 + 5085.20i 0.319634 + 0.184541i
\(167\) −18482.5 47092.7i −0.662717 1.68857i −0.723410 0.690418i \(-0.757427\pi\)
0.0606937 0.998156i \(-0.480669\pi\)
\(168\) −38481.0 + 79906.6i −1.36341 + 2.83116i
\(169\) −26012.9 8023.92i −0.910784 0.280940i
\(170\) −3009.43 + 13185.2i −0.104132 + 0.456234i
\(171\) 37382.4i 1.27842i
\(172\) −74.8250 + 170.002i −0.00252924 + 0.00574642i
\(173\) 1792.57 0.0598942 0.0299471 0.999551i \(-0.490466\pi\)
0.0299471 + 0.999551i \(0.490466\pi\)
\(174\) −10558.0 2409.80i −0.348726 0.0795945i
\(175\) 11955.5 38758.9i 0.390385 1.26560i
\(176\) 6618.69 + 3187.39i 0.213672 + 0.102899i
\(177\) −58127.3 + 22813.3i −1.85538 + 0.728185i
\(178\) 5838.64 10112.8i 0.184277 0.319177i
\(179\) −12224.4 + 7057.78i −0.381525 + 0.220273i −0.678481 0.734618i \(-0.737362\pi\)
0.296957 + 0.954891i \(0.404028\pi\)
\(180\) 565.823 + 451.229i 0.0174637 + 0.0139268i
\(181\) 28961.2 + 19745.4i 0.884013 + 0.602710i 0.917942 0.396714i \(-0.129850\pi\)
−0.0339289 + 0.999424i \(0.510802\pi\)
\(182\) 11737.4 1769.13i 0.354348 0.0534093i
\(183\) −44366.4 + 21365.7i −1.32480 + 0.637992i
\(184\) 6377.50 6873.31i 0.188371 0.203016i
\(185\) 73778.4 + 11120.3i 2.15569 + 0.324918i
\(186\) −49798.9 + 15360.9i −1.43944 + 0.444009i
\(187\) −213.999 2855.62i −0.00611969 0.0816616i
\(188\) −80.9296 101.483i −0.00228977 0.00287128i
\(189\) 67871.5 172934.i 1.90004 4.84123i
\(190\) −15955.2 17195.6i −0.441973 0.476333i
\(191\) −18121.1 26578.8i −0.496727 0.728565i 0.493235 0.869896i \(-0.335814\pi\)
−0.989962 + 0.141331i \(0.954862\pi\)
\(192\) −69783.4 5229.54i −1.89300 0.141860i
\(193\) 1944.87 + 8521.04i 0.0522127 + 0.228759i 0.994301 0.106605i \(-0.0339980\pi\)
−0.942089 + 0.335364i \(0.891141\pi\)
\(194\) −9902.61 + 2260.21i −0.263115 + 0.0600544i
\(195\) −1578.02 + 21057.2i −0.0414994 + 0.553771i
\(196\) 343.291 234.052i 0.00893614 0.00609256i
\(197\) −24447.8 + 22684.2i −0.629952 + 0.584510i −0.929160 0.369678i \(-0.879468\pi\)
0.299208 + 0.954188i \(0.403278\pi\)
\(198\) −22862.9 8973.03i −0.583178 0.228880i
\(199\) 35079.2 27974.7i 0.885816 0.706414i −0.0708861 0.997484i \(-0.522583\pi\)
0.956702 + 0.291070i \(0.0940113\pi\)
\(200\) 31915.7 2391.75i 0.797893 0.0597938i
\(201\) 26625.2 + 86316.7i 0.659023 + 2.13650i
\(202\) −3052.74 + 20253.6i −0.0748148 + 0.496363i
\(203\) −9303.37 8632.26i −0.225761 0.209475i
\(204\) −75.2517 156.262i −0.00180824 0.00375485i
\(205\) 4301.65 + 28539.6i 0.102359 + 0.679109i
\(206\) 25339.4 37166.1i 0.597120 0.875814i
\(207\) −19667.9 + 24662.7i −0.459004 + 0.575573i
\(208\) 4712.50 + 8162.28i 0.108924 + 0.188662i
\(209\) 4301.48 + 2483.46i 0.0984749 + 0.0568545i
\(210\) 68404.5 + 174292.i 1.55112 + 3.95220i
\(211\) −20056.0 + 41646.6i −0.450483 + 0.935438i 0.544813 + 0.838558i \(0.316601\pi\)
−0.995296 + 0.0968804i \(0.969114\pi\)
\(212\) −437.516 134.956i −0.00973470 0.00300276i
\(213\) 38339.6 167977.i 0.845062 3.70246i
\(214\) 170.605i 0.00372533i
\(215\) −24634.9 56964.7i −0.532935 1.23233i
\(216\) 146589. 3.14191
\(217\) −59542.0 13590.1i −1.26446 0.288604i
\(218\) 12139.8 39356.1i 0.255445 0.828132i
\(219\) 103333. + 49762.5i 2.15452 + 1.03756i
\(220\) 89.5116 35.1307i 0.00184941 0.000725841i
\(221\) 1836.99 3181.75i 0.0376116 0.0651451i
\(222\) −132812. + 76679.0i −2.69483 + 1.55586i
\(223\) −5883.15 4691.66i −0.118304 0.0943445i 0.562551 0.826763i \(-0.309820\pi\)
−0.680855 + 0.732418i \(0.738392\pi\)
\(224\) 858.954 + 585.625i 0.0171188 + 0.0116714i
\(225\) −106473. + 16048.2i −2.10317 + 0.317002i
\(226\) −1641.16 + 790.341i −0.0321317 + 0.0154738i
\(227\) −15418.0 + 16616.7i −0.299211 + 0.322473i −0.864705 0.502279i \(-0.832495\pi\)
0.565494 + 0.824752i \(0.308685\pi\)
\(228\) 297.465 + 44.8356i 0.00572224 + 0.000862488i
\(229\) 16784.9 5177.46i 0.320072 0.0987292i −0.130556 0.991441i \(-0.541676\pi\)
0.450628 + 0.892712i \(0.351200\pi\)
\(230\) −1479.25 19739.2i −0.0279631 0.373141i
\(231\) −24718.4 30995.9i −0.463229 0.580871i
\(232\) 3658.61 9321.99i 0.0679736 0.173194i
\(233\) 54569.0 + 58811.4i 1.00516 + 1.08330i 0.996521 + 0.0833392i \(0.0265585\pi\)
0.00863604 + 0.999963i \(0.497251\pi\)
\(234\) −17750.7 26035.4i −0.324177 0.475481i
\(235\) 43250.5 + 3241.18i 0.783169 + 0.0586904i
\(236\) 81.1805 + 355.675i 0.00145756 + 0.00638601i
\(237\) 65911.9 15044.0i 1.17346 0.267834i
\(238\) 2434.46 32485.6i 0.0429782 0.573504i
\(239\) −43953.5 + 29967.0i −0.769481 + 0.524623i −0.883260 0.468883i \(-0.844657\pi\)
0.113779 + 0.993506i \(0.463704\pi\)
\(240\) −108981. + 101120.i −1.89204 + 1.75555i
\(241\) 67846.3 + 26627.7i 1.16813 + 0.458459i 0.868545 0.495610i \(-0.165056\pi\)
0.299588 + 0.954069i \(0.403151\pi\)
\(242\) 43379.3 34593.8i 0.740716 0.590702i
\(243\) −193703. + 14516.0i −3.28037 + 0.245830i
\(244\) 84.8002 + 274.916i 0.00142435 + 0.00461764i
\(245\) −20691.6 + 137280.i −0.344717 + 2.28705i
\(246\) −43486.9 40350.0i −0.718602 0.666766i
\(247\) 2764.90 + 5741.38i 0.0453196 + 0.0941071i
\(248\) −7182.45 47652.4i −0.116780 0.774786i
\(249\) 24550.0 36008.3i 0.395962 0.580770i
\(250\) −10356.7 + 12986.9i −0.165707 + 0.207790i
\(251\) −5909.39 10235.4i −0.0937984 0.162464i 0.815308 0.579027i \(-0.196568\pi\)
−0.909106 + 0.416564i \(0.863234\pi\)
\(252\) −1509.70 871.627i −0.0237733 0.0137255i
\(253\) 1531.25 + 3901.57i 0.0239225 + 0.0609535i
\(254\) 31387.9 65177.5i 0.486513 1.01025i
\(255\) 55377.8 + 17081.8i 0.851639 + 0.262696i
\(256\) −274.666 + 1203.39i −0.00419106 + 0.0183622i
\(257\) 60933.3i 0.922546i −0.887258 0.461273i \(-0.847393\pi\)
0.887258 0.461273i \(-0.152607\pi\)
\(258\) 112590. + 59971.0i 1.69145 + 0.900953i
\(259\) −179722. −2.67918
\(260\) 120.276 + 27.4523i 0.00177923 + 0.000406098i
\(261\) −9930.61 + 32194.2i −0.145779 + 0.472604i
\(262\) 43803.4 + 21094.6i 0.638124 + 0.307304i
\(263\) 63014.0 24731.2i 0.911015 0.357547i 0.136894 0.990586i \(-0.456288\pi\)
0.774120 + 0.633039i \(0.218193\pi\)
\(264\) 15641.3 27091.5i 0.224422 0.388710i
\(265\) 132492. 76494.4i 1.88668 1.08928i
\(266\) 44176.4 + 35229.5i 0.624348 + 0.497901i
\(267\) −41343.4 28187.4i −0.579940 0.395396i
\(268\) 521.849 78.6560i 0.00726566 0.00109512i
\(269\) −90825.1 + 43739.1i −1.25517 + 0.604456i −0.938892 0.344211i \(-0.888146\pi\)
−0.316274 + 0.948668i \(0.602432\pi\)
\(270\) 210491. 226856.i 2.88740 3.11187i
\(271\) −33892.2 5108.43i −0.461489 0.0695583i −0.0858170 0.996311i \(-0.527350\pi\)
−0.375672 + 0.926753i \(0.622588\pi\)
\(272\) 24717.3 7624.28i 0.334090 0.103053i
\(273\) −3801.06 50721.6i −0.0510011 0.680562i
\(274\) 9742.07 + 12216.2i 0.129763 + 0.162717i
\(275\) −5226.81 + 13317.7i −0.0691148 + 0.176102i
\(276\) 172.661 + 186.084i 0.00226660 + 0.00244282i
\(277\) 36456.6 + 53472.0i 0.475134 + 0.696894i 0.986737 0.162328i \(-0.0519004\pi\)
−0.511603 + 0.859222i \(0.670948\pi\)
\(278\) 77436.2 + 5803.04i 1.00197 + 0.0750872i
\(279\) 36077.0 + 158064.i 0.463470 + 2.03060i
\(280\) −168797. + 38526.9i −2.15303 + 0.491415i
\(281\) −625.260 + 8343.52i −0.00791860 + 0.105666i −0.999763 0.0217920i \(-0.993063\pi\)
0.991844 + 0.127458i \(0.0406819\pi\)
\(282\) −73656.6 + 50218.2i −0.926218 + 0.631485i
\(283\) 36945.2 34280.1i 0.461301 0.428025i −0.414976 0.909832i \(-0.636210\pi\)
0.876277 + 0.481807i \(0.160019\pi\)
\(284\) −937.041 367.762i −0.0116178 0.00455963i
\(285\) −78587.9 + 62671.7i −0.967533 + 0.771582i
\(286\) −4175.07 + 312.878i −0.0510425 + 0.00382511i
\(287\) −20491.8 66432.8i −0.248780 0.806526i
\(288\) 411.322 2728.95i 0.00495904 0.0329011i
\(289\) 53833.8 + 49950.5i 0.644554 + 0.598059i
\(290\) −9172.86 19047.6i −0.109071 0.226488i
\(291\) 6487.02 + 43038.6i 0.0766054 + 0.508244i
\(292\) 377.464 553.638i 0.00442700 0.00649322i
\(293\) 51959.0 65154.5i 0.605237 0.758943i −0.380947 0.924597i \(-0.624402\pi\)
0.986184 + 0.165654i \(0.0529735\pi\)
\(294\) −142677. 247124.i −1.65067 2.85904i
\(295\) −105570. 60950.9i −1.21310 0.700383i
\(296\) −51809.8 132009.i −0.591328 1.50668i
\(297\) −28431.0 + 59037.6i −0.322314 + 0.669292i
\(298\) −65928.8 20336.3i −0.742408 0.229002i
\(299\) −1196.57 + 5242.52i −0.0133843 + 0.0586405i
\(300\) 866.490i 0.00962767i
\(301\) 79127.6 + 126837.i 0.873363 + 1.39996i
\(302\) 84498.6 0.926479
\(303\) 85568.1 + 19530.4i 0.932023 + 0.212728i
\(304\) −13224.2 + 42871.8i −0.143094 + 0.463900i
\(305\) −86611.2 41709.8i −0.931053 0.448372i
\(306\) −80501.9 + 31594.7i −0.859732 + 0.337420i
\(307\) −90581.3 + 156891.i −0.961085 + 1.66465i −0.241302 + 0.970450i \(0.577575\pi\)
−0.719783 + 0.694199i \(0.755759\pi\)
\(308\) −200.591 + 115.812i −0.00211452 + 0.00122082i
\(309\) −150700. 120179.i −1.57832 1.25867i
\(310\) −84058.6 57310.2i −0.874699 0.596360i
\(311\) 114866. 17313.2i 1.18760 0.179001i 0.474621 0.880190i \(-0.342585\pi\)
0.712976 + 0.701189i \(0.247347\pi\)
\(312\) 36160.2 17413.9i 0.371469 0.178890i
\(313\) 25945.8 27962.9i 0.264837 0.285426i −0.586607 0.809872i \(-0.699537\pi\)
0.851444 + 0.524445i \(0.175727\pi\)
\(314\) 24469.5 + 3688.18i 0.248179 + 0.0374070i
\(315\) 556613. 171692.i 5.60961 1.73033i
\(316\) −29.5174 393.882i −0.000295600 0.00394450i
\(317\) −68469.1 85857.6i −0.681359 0.854398i 0.314119 0.949384i \(-0.398291\pi\)
−0.995479 + 0.0949859i \(0.969719\pi\)
\(318\) −114883. + 292718.i −1.13606 + 2.89464i
\(319\) 3044.77 + 3281.48i 0.0299208 + 0.0322469i
\(320\) −76956.2 112874.i −0.751525 1.10229i
\(321\) 729.012 + 54.6319i 0.00707497 + 0.000530195i
\(322\) 10609.8 + 46484.8i 0.102329 + 0.448331i
\(323\) 17050.4 3891.65i 0.163429 0.0373017i
\(324\) −166.067 + 2216.01i −0.00158195 + 0.0211097i
\(325\) −15165.7 + 10339.8i −0.143580 + 0.0978915i
\(326\) −83916.9 + 77863.5i −0.789613 + 0.732653i
\(327\) −164285. 64477.2i −1.53639 0.602990i
\(328\) 42888.8 34202.7i 0.398654 0.317916i
\(329\) −104180. + 7807.21i −0.962482 + 0.0721280i
\(330\) −19466.0 63107.3i −0.178751 0.579498i
\(331\) 10417.5 69115.3i 0.0950836 0.630839i −0.889633 0.456676i \(-0.849040\pi\)
0.984717 0.174163i \(-0.0557219\pi\)
\(332\) −186.648 173.184i −0.00169335 0.00157120i
\(333\) 207006. + 429852.i 1.86679 + 3.87642i
\(334\) 30254.6 + 200726.i 0.271205 + 1.79933i
\(335\) −99336.0 + 145699.i −0.885150 + 1.29828i
\(336\) 223275. 279978.i 1.97770 2.47996i
\(337\) 17399.0 + 30136.0i 0.153202 + 0.265354i 0.932403 0.361421i \(-0.117708\pi\)
−0.779201 + 0.626774i \(0.784375\pi\)
\(338\) 94596.4 + 54615.3i 0.828021 + 0.478058i
\(339\) 2851.66 + 7265.92i 0.0248141 + 0.0632254i
\(340\) 146.905 305.051i 0.00127080 0.00263885i
\(341\) 20584.7 + 6349.54i 0.177025 + 0.0546051i
\(342\) 33377.7 146237.i 0.285367 1.25028i
\(343\) 140284.i 1.19239i
\(344\) −70353.9 + 94685.1i −0.594526 + 0.800138i
\(345\) −84821.0 −0.712632
\(346\) −7012.43 1600.54i −0.0585755 0.0133695i
\(347\) 18471.0 59881.6i 0.153402 0.497318i −0.845952 0.533260i \(-0.820967\pi\)
0.999354 + 0.0359416i \(0.0114430\pi\)
\(348\) 244.270 + 117.634i 0.00201703 + 0.000971350i
\(349\) −79734.5 + 31293.5i −0.654629 + 0.256923i −0.669326 0.742969i \(-0.733417\pi\)
0.0146968 + 0.999892i \(0.495322\pi\)
\(350\) −81376.2 + 140948.i −0.664295 + 1.15059i
\(351\) −72806.1 + 42034.6i −0.590954 + 0.341188i
\(352\) −286.686 228.625i −0.00231378 0.00184518i
\(353\) 16822.9 + 11469.6i 0.135005 + 0.0920449i 0.628939 0.777454i \(-0.283489\pi\)
−0.493934 + 0.869499i \(0.664442\pi\)
\(354\) 247760. 37343.8i 1.97708 0.297997i
\(355\) 303045. 145939.i 2.40464 1.15801i
\(356\) −198.843 + 214.302i −0.00156896 + 0.00169093i
\(357\) −138034. 20805.3i −1.08306 0.163244i
\(358\) 54122.9 16694.7i 0.422294 0.130260i
\(359\) 7449.14 + 99401.9i 0.0577986 + 0.771269i 0.948520 + 0.316718i \(0.102581\pi\)
−0.890721 + 0.454550i \(0.849800\pi\)
\(360\) 286570. + 359348.i 2.21119 + 2.77275i
\(361\) 36529.3 93075.1i 0.280302 0.714199i
\(362\) −95664.0 103101.i −0.730015 0.786769i
\(363\) −133932. 196442.i −1.01641 1.49080i
\(364\) −296.336 22.2073i −0.00223657 0.000167607i
\(365\) 49821.9 + 218284.i 0.373968 + 1.63846i
\(366\) 192635. 43967.7i 1.43805 0.328225i
\(367\) 3002.83 40070.0i 0.0222946 0.297500i −0.974900 0.222644i \(-0.928531\pi\)
0.997194 0.0748560i \(-0.0238497\pi\)
\(368\) −31280.5 + 21326.7i −0.230982 + 0.157481i
\(369\) −135289. + 125530.i −0.993595 + 0.921922i
\(370\) −278687. 109377.i −2.03570 0.798954i
\(371\) −288115. + 229764.i −2.09324 + 1.66930i
\(372\) 1301.04 97.4994i 0.00940166 0.000704557i
\(373\) −1195.84 3876.81i −0.00859516 0.0278648i 0.951174 0.308656i \(-0.0998793\pi\)
−0.959769 + 0.280791i \(0.909403\pi\)
\(374\) −1712.56 + 11362.1i −0.0122434 + 0.0812297i
\(375\) 52177.7 + 48413.8i 0.371042 + 0.344276i
\(376\) −35767.3 74271.6i −0.252994 0.525348i
\(377\) 855.980 + 5679.05i 0.00602255 + 0.0399570i
\(378\) −419917. + 615905.i −2.93886 + 4.31052i
\(379\) −125286. + 157103.i −0.872213 + 1.09372i 0.122645 + 0.992451i \(0.460862\pi\)
−0.994859 + 0.101271i \(0.967709\pi\)
\(380\) 293.632 + 508.586i 0.00203346 + 0.00352206i
\(381\) −268459. 154995.i −1.84939 1.06774i
\(382\) 47157.1 + 120154.i 0.323162 + 0.823403i
\(383\) 103368. 214645.i 0.704672 1.46327i −0.173456 0.984842i \(-0.555493\pi\)
0.878128 0.478425i \(-0.158792\pi\)
\(384\) 271699. + 83808.0i 1.84258 + 0.568359i
\(385\) 17221.9 75454.2i 0.116188 0.509051i
\(386\) 35070.3i 0.235377i
\(387\) 212225. 335348.i 1.41702 2.23910i
\(388\) 254.289 0.00168913
\(389\) −192781. 44001.0i −1.27399 0.290779i −0.468537 0.883444i \(-0.655219\pi\)
−0.805449 + 0.592665i \(0.798076\pi\)
\(390\) 24974.5 80965.2i 0.164198 0.532316i
\(391\) 13296.4 + 6403.20i 0.0869721 + 0.0418835i
\(392\) 245630. 96402.8i 1.59849 0.627361i
\(393\) 104166. 180421.i 0.674437 1.16816i
\(394\) 115892. 66910.5i 0.746556 0.431024i
\(395\) 103187. + 82288.8i 0.661349 + 0.527408i
\(396\) 508.038 + 346.374i 0.00323971 + 0.00220880i
\(397\) 69100.9 10415.3i 0.438432 0.0660831i 0.0738826 0.997267i \(-0.476461\pi\)
0.364550 + 0.931184i \(0.381223\pi\)
\(398\) −162205. + 78114.0i −1.02400 + 0.493131i
\(399\) 164685. 177489.i 1.03445 1.11487i
\(400\) −127785. 19260.5i −0.798656 0.120378i
\(401\) −73308.3 + 22612.6i −0.455895 + 0.140625i −0.514193 0.857674i \(-0.671909\pi\)
0.0582986 + 0.998299i \(0.481432\pi\)
\(402\) −27086.1 361438.i −0.167608 2.23657i
\(403\) 17231.7 + 21607.9i 0.106101 + 0.133046i
\(404\) 187.339 477.333i 0.00114780 0.00292455i
\(405\) −505051. 544316.i −3.07911 3.31849i
\(406\) 28686.6 + 42075.6i 0.174031 + 0.255257i
\(407\) 63214.2 + 4737.25i 0.381615 + 0.0285981i
\(408\) −24510.3 107387.i −0.147241 0.645104i
\(409\) 109165. 24916.1i 0.652582 0.148948i 0.116603 0.993179i \(-0.462800\pi\)
0.535979 + 0.844231i \(0.319943\pi\)
\(410\) 8654.46 115486.i 0.0514840 0.687006i
\(411\) 55320.5 37716.9i 0.327494 0.223281i
\(412\) −825.517 + 765.967i −0.00486330 + 0.00451249i
\(413\) 273334. + 107276.i 1.60248 + 0.628929i
\(414\) 98960.1 78918.0i 0.577377 0.460443i
\(415\) 84840.1 6357.89i 0.492612 0.0369162i
\(416\) −138.667 449.548i −0.000801286 0.00259770i
\(417\) 49593.9 329034.i 0.285204 1.89221i
\(418\) −14609.7 13555.8i −0.0836159 0.0775842i
\(419\) 44786.4 + 93000.0i 0.255105 + 0.529731i 0.988709 0.149846i \(-0.0478778\pi\)
−0.733605 + 0.679577i \(0.762164\pi\)
\(420\) −698.628 4635.09i −0.00396047 0.0262760i
\(421\) 60149.3 88222.9i 0.339365 0.497757i −0.618182 0.786035i \(-0.712131\pi\)
0.957547 + 0.288279i \(0.0930829\pi\)
\(422\) 115643. 145011.i 0.649372 0.814287i
\(423\) 138669. + 240182.i 0.774994 + 1.34233i
\(424\) −251823. 145390.i −1.40076 0.808730i
\(425\) 18404.0 + 46892.5i 0.101890 + 0.259613i
\(426\) −299964. + 622882.i −1.65291 + 3.43231i
\(427\) 221270. + 68252.6i 1.21357 + 0.374338i
\(428\) 0.950414 4.16403i 5.18830e−6 2.27314e-5i
\(429\) 17940.7i 0.0974820i
\(430\) 45508.0 + 244838.i 0.246122 + 1.32416i
\(431\) 342135. 1.84180 0.920900 0.389798i \(-0.127455\pi\)
0.920900 + 0.389798i \(0.127455\pi\)
\(432\) −577047. 131707.i −3.09203 0.705736i
\(433\) −45954.9 + 148982.i −0.245107 + 0.794618i 0.746506 + 0.665378i \(0.231730\pi\)
−0.991613 + 0.129239i \(0.958746\pi\)
\(434\) 220790. + 106327.i 1.17220 + 0.564500i
\(435\) −84329.7 + 33097.0i −0.445658 + 0.174908i
\(436\) −515.548 + 892.955i −0.00271204 + 0.00469739i
\(437\) −22167.9 + 12798.6i −0.116081 + 0.0670195i
\(438\) −359800. 286931.i −1.87548 1.49565i
\(439\) 20571.0 + 14025.1i 0.106740 + 0.0727740i 0.615514 0.788126i \(-0.288949\pi\)
−0.508774 + 0.860900i \(0.669901\pi\)
\(440\) 60387.2 9101.91i 0.311917 0.0470140i
\(441\) −799829. + 385178.i −4.11264 + 1.98054i
\(442\) −10027.1 + 10806.6i −0.0513251 + 0.0553153i
\(443\) −199497. 30069.4i −1.01655 0.153221i −0.380431 0.924810i \(-0.624224\pi\)
−0.636121 + 0.771589i \(0.719462\pi\)
\(444\) 3668.77 1131.66i 0.0186103 0.00574053i
\(445\) −7299.88 97410.2i −0.0368634 0.491908i
\(446\) 18825.4 + 23606.4i 0.0946402 + 0.118675i
\(447\) −108011. + 275208.i −0.540572 + 1.37735i
\(448\) 223821. + 241222.i 1.11518 + 1.20188i
\(449\) 192705. + 282647.i 0.955875 + 1.40201i 0.915272 + 0.402836i \(0.131975\pi\)
0.0406027 + 0.999175i \(0.487072\pi\)
\(450\) 430844. + 32287.3i 2.12762 + 0.159443i
\(451\) 5456.57 + 23906.8i 0.0268266 + 0.117535i
\(452\) 44.4594 10.1476i 0.000217614 4.96690e-5i
\(453\) 27058.5 361070.i 0.131858 1.75953i
\(454\) 75151.0 51237.1i 0.364605 0.248584i
\(455\) 72788.7 67538.1i 0.351594 0.326231i
\(456\) 177844. + 69798.6i 0.855282 + 0.335673i
\(457\) 99519.2 79363.9i 0.476513 0.380006i −0.355577 0.934647i \(-0.615716\pi\)
0.832090 + 0.554641i \(0.187144\pi\)
\(458\) −70284.3 + 5267.08i −0.335064 + 0.0251095i
\(459\) 68007.2 + 220474.i 0.322797 + 1.04648i
\(460\) −73.8591 + 490.023i −0.000349051 + 0.00231580i
\(461\) 60565.8 + 56196.9i 0.284987 + 0.264430i 0.809693 0.586854i \(-0.199634\pi\)
−0.524705 + 0.851284i \(0.675824\pi\)
\(462\) 69021.3 + 143324.i 0.323369 + 0.671483i
\(463\) −54406.5 360964.i −0.253798 1.68384i −0.645508 0.763753i \(-0.723354\pi\)
0.391710 0.920089i \(-0.371884\pi\)
\(464\) −22777.7 + 33408.8i −0.105797 + 0.155176i
\(465\) −271809. + 340838.i −1.25707 + 1.57631i
\(466\) −160959. 278789.i −0.741214 1.28382i
\(467\) −132079. 76255.7i −0.605618 0.349654i 0.165630 0.986188i \(-0.447034\pi\)
−0.771249 + 0.636534i \(0.780368\pi\)
\(468\) 288.209 + 734.345i 0.00131588 + 0.00335281i
\(469\) 184297. 382697.i 0.837862 1.73984i
\(470\) −166299. 51296.5i −0.752825 0.232216i
\(471\) 23595.7 103379.i 0.106363 0.466007i
\(472\) 231694.i 1.04000i
\(473\) −24488.5 46698.7i −0.109456 0.208729i
\(474\) −271275. −1.20741
\(475\) −85183.5 19442.6i −0.377545 0.0861721i
\(476\) −240.391 + 779.328i −0.00106097 + 0.00343959i
\(477\) 881397. + 424458.i 3.87378 + 1.86551i
\(478\) 198700. 77984.0i 0.869645 0.341311i
\(479\) −156926. + 271805.i −0.683951 + 1.18464i 0.289814 + 0.957083i \(0.406407\pi\)
−0.973765 + 0.227555i \(0.926927\pi\)
\(480\) 6426.57 3710.38i 0.0278931 0.0161041i
\(481\) 63586.1 + 50708.3i 0.274835 + 0.219174i
\(482\) −241635. 164744.i −1.04008 0.709114i
\(483\) 202031. 30451.3i 0.866013 0.130530i
\(484\) −1251.50 + 602.689i −0.00534243 + 0.00257278i
\(485\) −57793.0 + 62286.1i −0.245692 + 0.264794i
\(486\) 770713. + 116166.i 3.26302 + 0.491821i
\(487\) −274336. + 84621.3i −1.15671 + 0.356798i −0.812992 0.582275i \(-0.802163\pi\)
−0.343718 + 0.939073i \(0.611686\pi\)
\(488\) 13654.2 + 182202.i 0.0573358 + 0.765093i
\(489\) 305846. + 383519.i 1.27904 + 1.60387i
\(490\) 203518. 518555.i 0.847639 2.15975i
\(491\) 1585.90 + 1709.20i 0.00657830 + 0.00708972i 0.736332 0.676620i \(-0.236556\pi\)
−0.729754 + 0.683710i \(0.760365\pi\)
\(492\) 836.622 + 1227.10i 0.00345620 + 0.00506932i
\(493\) 15717.9 + 1177.89i 0.0646696 + 0.00484632i
\(494\) −5689.79 24928.6i −0.0233154 0.102151i
\(495\) −200305. + 45718.3i −0.817488 + 0.186586i
\(496\) −14541.1 + 194037.i −0.0591061 + 0.788717i
\(497\) −669416. + 456400.i −2.71009 + 1.84771i
\(498\) −128189. + 118942.i −0.516883 + 0.479597i
\(499\) −307190. 120563.i −1.23369 0.484188i −0.343232 0.939251i \(-0.611522\pi\)
−0.890460 + 0.455062i \(0.849617\pi\)
\(500\) 325.128 259.281i 0.00130051 0.00103712i
\(501\) 867409. 65003.4i 3.45580 0.258976i
\(502\) 13978.3 + 45316.4i 0.0554684 + 0.179824i
\(503\) 1597.67 10599.9i 0.00631469 0.0418953i −0.985452 0.169956i \(-0.945637\pi\)
0.991766 + 0.128061i \(0.0408754\pi\)
\(504\) −811578. 753034.i −3.19499 2.96451i
\(505\) 74341.8 + 154372.i 0.291508 + 0.605322i
\(506\) −2506.56 16629.9i −0.00978986 0.0649514i
\(507\) 263668. 386730.i 1.02575 1.50450i
\(508\) −1129.19 + 1415.96i −0.00437563 + 0.00548686i
\(509\) −91835.7 159064.i −0.354467 0.613955i 0.632560 0.774512i \(-0.282004\pi\)
−0.987027 + 0.160557i \(0.948671\pi\)
\(510\) −201382. 116268.i −0.774250 0.447013i
\(511\) −197034. 502034.i −0.754570 1.92261i
\(512\) −112650. + 233921.i −0.429727 + 0.892338i
\(513\) −382409. 117957.i −1.45309 0.448219i
\(514\) −54405.7 + 238367.i −0.205929 + 0.902235i
\(515\) 376288.i 1.41875i
\(516\) −2413.94 2090.96i −0.00906625 0.00785320i
\(517\) 36849.4 0.137863
\(518\) 703060. + 160469.i 2.62019 + 0.598041i
\(519\) −9084.81 + 29452.2i −0.0337273 + 0.109341i
\(520\) 70591.4 + 33995.0i 0.261063 + 0.125721i
\(521\) −371331. + 145737.i −1.36800 + 0.536900i −0.931807 0.362953i \(-0.881768\pi\)
−0.436192 + 0.899854i \(0.643673\pi\)
\(522\) 67593.3 117075.i 0.248063 0.429658i
\(523\) 63282.0 36535.9i 0.231354 0.133572i −0.379843 0.925051i \(-0.624022\pi\)
0.611196 + 0.791479i \(0.290689\pi\)
\(524\) −951.614 758.887i −0.00346576 0.00276385i
\(525\) 576224. + 392863.i 2.09061 + 1.42535i
\(526\) −268588. + 40483.2i −0.970768 + 0.146320i
\(527\) 68338.5 32910.1i 0.246062 0.118497i
\(528\) −85913.1 + 92592.3i −0.308171 + 0.332129i
\(529\) 255357. + 38488.8i 0.912506 + 0.137538i
\(530\) −586600. + 180942.i −2.08829 + 0.644152i
\(531\) −58251.6 777313.i −0.206594 2.75681i
\(532\) −881.975 1105.96i −0.00311626 0.00390766i
\(533\) −11493.9 + 29285.9i −0.0404586 + 0.103087i
\(534\) 136565. + 147182.i 0.478912 + 0.516145i
\(535\) 803.944 + 1179.17i 0.00280878 + 0.00411973i
\(536\) 334227. + 25046.8i 1.16335 + 0.0871813i
\(537\) −54006.6 236618.i −0.187283 0.820540i
\(538\) 394355. 90009.0i 1.36246 0.310972i
\(539\) −8814.63 + 117623.i −0.0303408 + 0.404869i
\(540\) −6401.33 + 4364.35i −0.0219524 + 0.0149669i
\(541\) −322114. + 298878.i −1.10056 + 1.02117i −0.100910 + 0.994896i \(0.532175\pi\)
−0.999655 + 0.0262794i \(0.991634\pi\)
\(542\) 128023. + 50245.3i 0.435802 + 0.171040i
\(543\) −471196. + 375766.i −1.59809 + 1.27444i
\(544\) −1287.52 + 96.4860i −0.00435066 + 0.000326037i
\(545\) −101552. 329224.i −0.341898 1.10841i
\(546\) −30418.5 + 201813.i −0.102036 + 0.676963i
\(547\) −89494.3 83038.6i −0.299103 0.277527i 0.516316 0.856398i \(-0.327303\pi\)
−0.815419 + 0.578871i \(0.803493\pi\)
\(548\) −169.725 352.437i −0.000565177 0.00117360i
\(549\) −91617.0 607839.i −0.303970 2.01671i
\(550\) 32337.9 47431.0i 0.106902 0.156797i
\(551\) −17045.5 + 21374.4i −0.0561444 + 0.0704029i
\(552\) 80608.2 + 139617.i 0.264546 + 0.458207i
\(553\) −275319. 158955.i −0.900296 0.519786i
\(554\) −94872.0 241730.i −0.309114 0.787609i
\(555\) −556620. + 1.15583e6i −1.80706 + 3.75240i
\(556\) −1857.69 573.022i −0.00600930 0.00185363i
\(557\) −23764.0 + 104117.i −0.0765967 + 0.335592i −0.998678 0.0514044i \(-0.983630\pi\)
0.922081 + 0.386996i \(0.126487\pi\)
\(558\) 650547.i 2.08935i
\(559\) 7791.44 67201.2i 0.0249341 0.215057i
\(560\) 699086. 2.22923
\(561\) 48002.9 + 10956.4i 0.152525 + 0.0348129i
\(562\) 9895.68 32081.0i 0.0313309 0.101572i
\(563\) −505201. 243292.i −1.59385 0.767558i −0.594518 0.804082i \(-0.702657\pi\)
−0.999333 + 0.0365239i \(0.988372\pi\)
\(564\) 2077.53 815.369i 0.00653113 0.00256328i
\(565\) −7618.86 + 13196.3i −0.0238667 + 0.0413384i
\(566\) −175135. + 101114.i −0.546688 + 0.315631i
\(567\) 1.39837e6 + 1.11516e6i 4.34968 + 3.46875i
\(568\) −528212. 360129.i −1.63724 1.11625i
\(569\) −343230. + 51733.5i −1.06013 + 0.159789i −0.655886 0.754860i \(-0.727705\pi\)
−0.404247 + 0.914650i \(0.632467\pi\)
\(570\) 363388. 174999.i 1.11846 0.538623i
\(571\) 164843. 177659.i 0.505590 0.544896i −0.427747 0.903899i \(-0.640693\pi\)
0.933337 + 0.359002i \(0.116883\pi\)
\(572\) 103.646 + 15.6221i 0.000316782 + 4.77472e-5i
\(573\) 528532. 163030.i 1.60976 0.496546i
\(574\) 20846.5 + 278177.i 0.0632717 + 0.844302i
\(575\) −45969.9 57644.4i −0.139039 0.174350i
\(576\) 319146. 813170.i 0.961931 2.45096i
\(577\) 257710. + 277746.i 0.774070 + 0.834249i 0.989839 0.142196i \(-0.0454162\pi\)
−0.215769 + 0.976445i \(0.569226\pi\)
\(578\) −165995. 243470.i −0.496866 0.728768i
\(579\) −149859. 11230.4i −0.447018 0.0334993i
\(580\) 117.775 + 516.005i 0.000350103 + 0.00153390i
\(581\) −199794. + 45601.8i −0.591876 + 0.135092i
\(582\) 13051.2 174156.i 0.0385305 0.514154i
\(583\) 107396. 73221.4i 0.315974 0.215427i
\(584\) 311953. 289450.i 0.914669 0.848689i
\(585\) −245374. 96302.3i −0.716997 0.281401i
\(586\) −261435. + 208487.i −0.761322 + 0.607134i
\(587\) 425027. 31851.4i 1.23350 0.0924383i 0.558029 0.829821i \(-0.311558\pi\)
0.675475 + 0.737383i \(0.263939\pi\)
\(588\) 2105.70 + 6826.50i 0.00609033 + 0.0197444i
\(589\) −19608.1 + 130091.i −0.0565203 + 0.374988i
\(590\) 358562. + 332696.i 1.03005 + 0.955750i
\(591\) −248803. 516645.i −0.712330 1.47917i
\(592\) 85341.4 + 566203.i 0.243510 + 1.61558i
\(593\) 351392. 515397.i 0.999268 1.46566i 0.118015 0.993012i \(-0.462347\pi\)
0.881253 0.472645i \(-0.156701\pi\)
\(594\) 163933. 205566.i 0.464616 0.582610i
\(595\) −136256. 236002.i −0.384877 0.666626i
\(596\) 1495.86 + 863.637i 0.00421114 + 0.00243130i
\(597\) 281846. + 718133.i 0.790795 + 2.01491i
\(598\) 9361.81 19440.0i 0.0261793 0.0543618i
\(599\) 52766.3 + 16276.2i 0.147063 + 0.0453629i 0.367413 0.930058i \(-0.380244\pi\)
−0.220350 + 0.975421i \(0.570720\pi\)
\(600\) −122453. + 536501.i −0.340147 + 1.49028i
\(601\) 194492.i 0.538459i 0.963076 + 0.269230i \(0.0867691\pi\)
−0.963076 + 0.269230i \(0.913231\pi\)
\(602\) −196292. 566831.i −0.541639 1.56409i
\(603\) −1.12760e6 −3.10112
\(604\) −2062.39 470.728i −0.00565325 0.00129032i
\(605\) 136808. 443519.i 0.373765 1.21172i
\(606\) −317299. 152803.i −0.864018 0.416089i
\(607\) −618258. + 242648.i −1.67800 + 0.658567i −0.997261 0.0739583i \(-0.976437\pi\)
−0.680740 + 0.732525i \(0.738342\pi\)
\(608\) 1119.72 1939.41i 0.00302902 0.00524642i
\(609\) 188979. 109107.i 0.509541 0.294184i
\(610\) 301576. + 240499.i 0.810470 + 0.646328i
\(611\) 39062.0 + 26632.0i 0.104634 + 0.0713381i
\(612\) 2140.86 322.682i 0.00571590 0.000861533i
\(613\) 99107.7 47727.8i 0.263746 0.127014i −0.297338 0.954772i \(-0.596099\pi\)
0.561084 + 0.827759i \(0.310384\pi\)
\(614\) 494433. 532872.i 1.31151 1.41347i
\(615\) −490710. 73962.7i −1.29740 0.195552i
\(616\) −140566. + 43358.9i −0.370441 + 0.114266i
\(617\) 27472.6 + 366597.i 0.0721655 + 0.962982i 0.909342 + 0.416049i \(0.136586\pi\)
−0.837177 + 0.546933i \(0.815795\pi\)
\(618\) 482223. + 604689.i 1.26262 + 1.58327i
\(619\) −11430.9 + 29125.4i −0.0298331 + 0.0760134i −0.945014 0.327030i \(-0.893952\pi\)
0.915181 + 0.403043i \(0.132048\pi\)
\(620\) 1732.39 + 1867.07i 0.00450674 + 0.00485711i
\(621\) −190231. 279017.i −0.493284 0.723515i
\(622\) −464805. 34832.3i −1.20141 0.0900330i
\(623\) 52358.2 + 229396.i 0.134899 + 0.591031i
\(624\) −157991. + 36060.3i −0.405753 + 0.0926106i
\(625\) −33815.1 + 451231.i −0.0865667 + 1.15515i
\(626\) −126466. + 86222.8i −0.322718 + 0.220026i
\(627\) −62603.7 + 58087.8i −0.159245 + 0.147758i
\(628\) −576.692 226.335i −0.00146226 0.000573894i
\(629\) 174509. 139167.i 0.441080 0.351750i
\(630\) −2.33073e6 + 174664.i −5.87235 + 0.440071i
\(631\) 162672. + 527369.i 0.408558 + 1.32451i 0.893145 + 0.449769i \(0.148494\pi\)
−0.484587 + 0.874743i \(0.661030\pi\)
\(632\) 37387.5 248050.i 0.0936036 0.621019i
\(633\) −582616. 540589.i −1.45404 1.34915i
\(634\) 191187. + 397003.i 0.475641 + 0.987679i
\(635\) −90193.8 598397.i −0.223681 1.48403i
\(636\) 4434.69 6504.50i 0.0109635 0.0160805i
\(637\) −94353.2 + 118315.i −0.232529 + 0.291583i
\(638\) −8980.99 15555.5i −0.0220639 0.0382159i
\(639\) 1.86264e6 + 1.07540e6i 4.56171 + 2.63371i
\(640\) 202788. + 516696.i 0.495088 + 1.26146i
\(641\) 269871. 560393.i 0.656811 1.36388i −0.260408 0.965499i \(-0.583857\pi\)
0.917219 0.398384i \(-0.130429\pi\)
\(642\) −2803.07 864.631i −0.00680085 0.00209778i
\(643\) −105546. + 462427.i −0.255282 + 1.11846i 0.670949 + 0.741504i \(0.265887\pi\)
−0.926230 + 0.376958i \(0.876970\pi\)
\(644\) 1193.68i 0.00287817i
\(645\) 1.06079e6 116057.i 2.54982 0.278967i
\(646\) −70174.9 −0.168158
\(647\) 335811. + 76646.7i 0.802207 + 0.183099i 0.603919 0.797045i \(-0.293605\pi\)
0.198288 + 0.980144i \(0.436462\pi\)
\(648\) −415991. + 1.34861e6i −0.990680 + 3.21171i
\(649\) −93313.2 44937.2i −0.221541 0.106688i
\(650\) 68559.3 26907.5i 0.162271 0.0636865i
\(651\) 525047. 909409.i 1.23890 2.14584i
\(652\) 2481.96 1432.96i 0.00583848 0.00337085i
\(653\) −89451.3 71335.1i −0.209778 0.167293i 0.512964 0.858410i \(-0.328547\pi\)
−0.722743 + 0.691117i \(0.757119\pi\)
\(654\) 585103. + 398916.i 1.36797 + 0.932666i
\(655\) 402160. 60615.8i 0.937381 0.141287i
\(656\) −199562. + 96104.1i −0.463736 + 0.223323i
\(657\) −973802. + 1.04951e6i −2.25600 + 2.43139i
\(658\) 414516. + 62478.3i 0.957392 + 0.144304i
\(659\) 88678.1 27353.6i 0.204195 0.0629859i −0.190970 0.981596i \(-0.561163\pi\)
0.395166 + 0.918610i \(0.370687\pi\)
\(660\) 123.555 + 1648.73i 0.000283644 + 0.00378497i
\(661\) −256142. 321192.i −0.586243 0.735125i 0.396921 0.917853i \(-0.370079\pi\)
−0.983164 + 0.182727i \(0.941507\pi\)
\(662\) −102464. + 261073.i −0.233805 + 0.595726i
\(663\) 42966.8 + 46307.2i 0.0977476 + 0.105347i
\(664\) −91091.6 133607.i −0.206606 0.303035i
\(665\) 471346. + 35322.5i 1.06585 + 0.0798745i
\(666\) −425990. 1.86638e6i −0.960398 4.20778i
\(667\) −22491.3 + 5133.49i −0.0505548 + 0.0115388i
\(668\) 379.776 5067.75i 0.000851087 0.0113570i
\(669\) 106901. 72883.6i 0.238851 0.162846i
\(670\) 518687. 481271.i 1.15546 1.07211i
\(671\) −76028.9 29839.1i −0.168863 0.0662737i
\(672\) −13975.1 + 11144.8i −0.0309469 + 0.0246793i
\(673\) −461924. + 34616.4i −1.01986 + 0.0764278i −0.574150 0.818750i \(-0.694667\pi\)
−0.445709 + 0.895178i \(0.647048\pi\)
\(674\) −41156.2 133425.i −0.0905973 0.293709i
\(675\) 171800. 1.13982e6i 0.377065 2.50166i
\(676\) −2004.61 1860.00i −0.00438667 0.00407024i
\(677\) 246536. + 511938.i 0.537903 + 1.11697i 0.975946 + 0.218013i \(0.0699574\pi\)
−0.438043 + 0.898954i \(0.644328\pi\)
\(678\) −4667.97 30970.0i −0.0101547 0.0673723i
\(679\) 115293. 169104.i 0.250072 0.366788i
\(680\) 134069. 168117.i 0.289941 0.363574i
\(681\) −194876. 337535.i −0.420207 0.727820i
\(682\) −74856.6 43218.5i −0.160939 0.0929182i
\(683\) −2184.91 5567.07i −0.00468374 0.0119340i 0.928513 0.371301i \(-0.121088\pi\)
−0.933196 + 0.359367i \(0.882993\pi\)
\(684\) −1629.33 + 3383.34i −0.00348255 + 0.00723158i
\(685\) 124901. + 38526.8i 0.266185 + 0.0821072i
\(686\) −125256. + 548781.i −0.266164 + 1.16614i
\(687\) 302018.i 0.639911i
\(688\) 362020. 309516.i 0.764815 0.653893i
\(689\) 166764. 0.351288
\(690\) 331814. + 75734.4i 0.696942 + 0.159073i
\(691\) −180305. + 584534.i −0.377617 + 1.22420i 0.544984 + 0.838446i \(0.316536\pi\)
−0.922601 + 0.385756i \(0.873941\pi\)
\(692\) 162.239 + 78.1303i 0.000338800 + 0.000163158i
\(693\) 460685. 180805.i 0.959262 0.376483i
\(694\) −125724. + 217761.i −0.261035 + 0.452127i
\(695\) 562561. 324795.i 1.16466 0.672418i
\(696\) 134620. + 107356.i 0.277901 + 0.221619i
\(697\) 71339.3 + 48638.3i 0.146846 + 0.100118i
\(698\) 339857. 51225.2i 0.697566 0.105141i
\(699\) −1.24284e6 + 598519.i −2.54366 + 1.22496i
\(700\) 2771.38 2986.84i 0.00565588 0.00609559i
\(701\) −270535. 40776.5i −0.550537 0.0829802i −0.132118 0.991234i \(-0.542178\pi\)
−0.418420 + 0.908254i \(0.637416\pi\)
\(702\) 322344. 99430.1i 0.654103 0.201764i
\(703\) 28931.5 + 386064.i 0.0585411 + 0.781176i
\(704\) −72367.1 90745.4i −0.146014 0.183096i
\(705\) −272448. + 694186.i −0.548157 + 1.39668i
\(706\) −55569.0 59889.1i −0.111487 0.120154i
\(707\) −232492. 341003.i −0.465125 0.682212i
\(708\) −6255.22 468.764i −0.0124789 0.000935164i
\(709\) −205314. 899538.i −0.408437 1.78948i −0.591419 0.806364i \(-0.701432\pi\)
0.182982 0.983116i \(-0.441425\pi\)
\(710\) −1.31580e6 + 300322.i −2.61019 + 0.595758i
\(711\) −63068.0 + 841584.i −0.124758 + 1.66479i
\(712\) −153402. + 104588.i −0.302602 + 0.206310i
\(713\) −81380.7 + 75510.3i −0.160082 + 0.148534i
\(714\) 521405. + 204636.i 1.02277 + 0.401408i
\(715\) −27382.4 + 21836.8i −0.0535624 + 0.0427146i
\(716\) −1414.01 + 105.965i −0.00275820 + 0.000206698i
\(717\) −269605. 874037.i −0.524432 1.70017i
\(718\) 59612.8 395505.i 0.115635 0.767190i
\(719\) −75334.5 69900.2i −0.145726 0.135214i 0.603942 0.797029i \(-0.293596\pi\)
−0.749667 + 0.661815i \(0.769786\pi\)
\(720\) −805217. 1.67205e6i −1.55327 3.22540i
\(721\) 135090. + 896263.i 0.259868 + 1.72411i
\(722\) −226004. + 331488.i −0.433553 + 0.635906i
\(723\) −781345. + 979776.i −1.49474 + 1.87435i
\(724\) 1760.55 + 3049.37i 0.00335871 + 0.00581745i
\(725\) −68196.4 39373.2i −0.129743 0.0749074i
\(726\) 348534. + 888051.i 0.661260 + 1.68486i
\(727\) 344298. 714942.i 0.651427 1.35270i −0.269513 0.962997i \(-0.586863\pi\)
0.920940 0.389705i \(-0.127423\pi\)
\(728\) −180343. 55628.4i −0.340280 0.104962i
\(729\) 344465. 1.50920e6i 0.648171 2.83982i
\(730\) 898397.i 1.68586i
\(731\) −175048. 61886.8i −0.327585 0.115815i
\(732\) −4946.68 −0.00923190
\(733\) 601448. + 137277.i 1.11941 + 0.255499i 0.741903 0.670507i \(-0.233923\pi\)
0.377509 + 0.926006i \(0.376781\pi\)
\(734\) −47524.3 + 154070.i −0.0882112 + 0.285974i
\(735\) −2.15067e6 1.03571e6i −3.98106 1.91718i
\(736\) 1759.10 690.397i 0.00324740 0.00127451i
\(737\) −74910.8 + 129749.i −0.137914 + 0.238875i
\(738\) 641324. 370268.i 1.17751 0.679835i
\(739\) −547297. 436455.i −1.00215 0.799191i −0.0224719 0.999747i \(-0.507154\pi\)
−0.979682 + 0.200556i \(0.935725\pi\)
\(740\) 6192.73 + 4222.13i 0.0113089 + 0.00771025i
\(741\) −108344. + 16330.3i −0.197319 + 0.0297411i
\(742\) 1.33224e6 641572.i 2.41977 1.16530i
\(743\) 255211. 275052.i 0.462298 0.498239i −0.458274 0.888811i \(-0.651532\pi\)
0.920572 + 0.390572i \(0.127723\pi\)
\(744\) 819338. + 123495.i 1.48019 + 0.223103i
\(745\) −551511. + 170119.i −0.993668 + 0.306506i
\(746\) 1216.54 + 16233.5i 0.00218598 + 0.0291699i
\(747\) 339195. + 425337.i 0.607866 + 0.762240i
\(748\) 105.096 267.779i 0.000187837 0.000478601i
\(749\) −2338.21 2519.99i −0.00416792 0.00449195i
\(750\) −160888. 235980.i −0.286024 0.419520i
\(751\) 369232. + 27670.1i 0.654665 + 0.0490603i 0.397922 0.917419i \(-0.369732\pi\)
0.256743 + 0.966480i \(0.417351\pi\)
\(752\) 74066.4 + 324506.i 0.130974 + 0.573835i
\(753\) 198118. 45219.0i 0.349408 0.0797501i
\(754\) 1722.14 22980.4i 0.00302919 0.0404217i
\(755\) 584028. 398184.i 1.02457 0.698537i
\(756\) 13680.2 12693.4i