Properties

Label 43.5.h.a.3.11
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 3.11
Character \(\chi\) \(=\) 43.3
Dual form 43.5.h.a.29.11

$q$-expansion

\(f(q)\) \(=\) \(q+(1.67806 - 3.48454i) q^{2} +(-11.6032 - 0.869542i) q^{3} +(0.649739 + 0.814747i) q^{4} +(-10.6959 + 34.6753i) q^{5} +(-22.5009 + 38.9727i) q^{6} +(-13.1758 + 7.60705i) q^{7} +(64.2586 - 14.6666i) q^{8} +(53.7836 + 8.10658i) q^{9} +O(q^{10})\) \(q+(1.67806 - 3.48454i) q^{2} +(-11.6032 - 0.869542i) q^{3} +(0.649739 + 0.814747i) q^{4} +(-10.6959 + 34.6753i) q^{5} +(-22.5009 + 38.9727i) q^{6} +(-13.1758 + 7.60705i) q^{7} +(64.2586 - 14.6666i) q^{8} +(53.7836 + 8.10658i) q^{9} +(102.879 + 95.4577i) q^{10} +(-48.5103 + 60.8301i) q^{11} +(-6.83062 - 10.0187i) q^{12} +(-139.321 + 129.271i) q^{13} +(4.39721 + 58.6766i) q^{14} +(154.259 - 393.045i) q^{15} +(53.0135 - 232.267i) q^{16} +(-236.126 + 72.8352i) q^{17} +(118.500 - 173.808i) q^{18} +(34.4960 + 228.866i) q^{19} +(-35.2012 + 13.8154i) q^{20} +(159.496 - 76.8094i) q^{21} +(130.561 + 271.113i) q^{22} +(-103.167 - 262.866i) q^{23} +(-758.360 + 114.304i) q^{24} +(-571.575 - 389.693i) q^{25} +(216.660 + 702.395i) q^{26} +(301.852 + 68.8958i) q^{27} +(-14.7586 - 5.79234i) q^{28} +(91.3132 - 6.84298i) q^{29} +(-1110.72 - 1197.08i) q^{30} +(1353.00 - 922.457i) q^{31} +(104.118 + 83.0313i) q^{32} +(615.771 - 663.643i) q^{33} +(-142.438 + 945.012i) q^{34} +(-122.850 - 538.239i) q^{35} +(28.3405 + 49.0872i) q^{36} +(-1803.12 - 1041.03i) q^{37} +(855.378 + 263.849i) q^{38} +(1728.98 - 1378.82i) q^{39} +(-178.735 + 2385.06i) q^{40} +(2606.62 + 1255.28i) q^{41} -684.662i q^{42} +(-1840.20 + 180.210i) q^{43} -81.0802 q^{44} +(-856.363 + 1778.26i) q^{45} +(-1089.09 - 81.6158i) q^{46} +(1376.20 + 1725.70i) q^{47} +(-817.094 + 2648.95i) q^{48} +(-1084.77 + 1878.87i) q^{49} +(-2317.04 + 1337.74i) q^{50} +(2803.16 - 639.803i) q^{51} +(-195.846 - 29.5190i) q^{52} +(1949.64 + 1809.00i) q^{53} +(746.597 - 936.203i) q^{54} +(-1590.44 - 2332.74i) q^{55} +(-735.088 + 682.062i) q^{56} +(-201.256 - 2685.58i) q^{57} +(129.385 - 329.667i) q^{58} +(-437.283 + 1915.86i) q^{59} +(420.460 - 129.695i) q^{60} +(-2072.12 + 3039.24i) q^{61} +(-943.921 - 6262.51i) q^{62} +(-770.309 + 302.324i) q^{63} +(3898.40 - 1877.37i) q^{64} +(-2992.35 - 6213.68i) q^{65} +(-1279.19 - 3259.31i) q^{66} +(5144.37 - 775.389i) q^{67} +(-212.763 - 145.059i) q^{68} +(968.501 + 3139.80i) q^{69} +(-2081.66 - 475.126i) q^{70} +(4851.30 + 1903.99i) q^{71} +(3574.95 - 267.906i) q^{72} +(-5889.38 - 6347.25i) q^{73} +(-6653.28 + 4536.13i) q^{74} +(6293.26 + 5018.71i) q^{75} +(-164.054 + 176.809i) q^{76} +(176.425 - 1170.50i) q^{77} +(-1903.20 - 8338.45i) q^{78} +(-410.541 - 711.079i) q^{79} +(7486.91 + 4322.57i) q^{80} +(-7652.50 - 2360.48i) q^{81} +(8748.17 - 6976.43i) q^{82} +(-570.702 + 7615.49i) q^{83} +(166.211 + 80.0432i) q^{84} -8966.78i q^{85} +(-2460.02 + 6714.64i) q^{86} -1065.48 q^{87} +(-2225.04 + 4620.33i) q^{88} +(-6730.01 - 504.345i) q^{89} +(4759.37 + 5968.06i) q^{90} +(852.295 - 2763.07i) q^{91} +(147.137 - 254.849i) q^{92} +(-16501.2 + 9527.00i) q^{93} +(8322.61 - 1899.58i) q^{94} +(-8304.96 - 1251.77i) q^{95} +(-1135.91 - 1053.97i) q^{96} +(9533.63 - 11954.8i) q^{97} +(4726.68 + 6932.77i) q^{98} +(-3102.19 + 2878.41i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.67806 3.48454i 0.419516 0.871134i −0.578928 0.815378i \(-0.696529\pi\)
0.998444 0.0557558i \(-0.0177568\pi\)
\(3\) −11.6032 0.869542i −1.28925 0.0966158i −0.587607 0.809146i \(-0.699930\pi\)
−0.701641 + 0.712531i \(0.747549\pi\)
\(4\) 0.649739 + 0.814747i 0.0406087 + 0.0509217i
\(5\) −10.6959 + 34.6753i −0.427837 + 1.38701i 0.443477 + 0.896286i \(0.353745\pi\)
−0.871314 + 0.490726i \(0.836731\pi\)
\(6\) −22.5009 + 38.9727i −0.625026 + 1.08258i
\(7\) −13.1758 + 7.60705i −0.268894 + 0.155246i −0.628385 0.777903i \(-0.716284\pi\)
0.359491 + 0.933149i \(0.382950\pi\)
\(8\) 64.2586 14.6666i 1.00404 0.229166i
\(9\) 53.7836 + 8.10658i 0.663995 + 0.100081i
\(10\) 102.879 + 95.4577i 1.02879 + 0.954577i
\(11\) −48.5103 + 60.8301i −0.400912 + 0.502728i −0.940778 0.339023i \(-0.889903\pi\)
0.539866 + 0.841751i \(0.318475\pi\)
\(12\) −6.83062 10.0187i −0.0474348 0.0695741i
\(13\) −139.321 + 129.271i −0.824386 + 0.764918i −0.974652 0.223728i \(-0.928177\pi\)
0.150266 + 0.988646i \(0.451987\pi\)
\(14\) 4.39721 + 58.6766i 0.0224347 + 0.299371i
\(15\) 154.259 393.045i 0.685595 1.74687i
\(16\) 53.0135 232.267i 0.207084 0.907294i
\(17\) −236.126 + 72.8352i −0.817045 + 0.252025i −0.674984 0.737833i \(-0.735849\pi\)
−0.142062 + 0.989858i \(0.545373\pi\)
\(18\) 118.500 173.808i 0.365741 0.536443i
\(19\) 34.4960 + 228.866i 0.0955567 + 0.633978i 0.984424 + 0.175812i \(0.0562551\pi\)
−0.888867 + 0.458165i \(0.848507\pi\)
\(20\) −35.2012 + 13.8154i −0.0880029 + 0.0345386i
\(21\) 159.496 76.8094i 0.361670 0.174171i
\(22\) 130.561 + 271.113i 0.269754 + 0.560151i
\(23\) −103.167 262.866i −0.195023 0.496911i 0.799593 0.600543i \(-0.205049\pi\)
−0.994616 + 0.103632i \(0.966954\pi\)
\(24\) −758.360 + 114.304i −1.31660 + 0.198445i
\(25\) −571.575 389.693i −0.914520 0.623509i
\(26\) 216.660 + 702.395i 0.320503 + 1.03905i
\(27\) 301.852 + 68.8958i 0.414063 + 0.0945072i
\(28\) −14.7586 5.79234i −0.0188248 0.00738819i
\(29\) 91.3132 6.84298i 0.108577 0.00813672i −0.0203308 0.999793i \(-0.506472\pi\)
0.128908 + 0.991657i \(0.458853\pi\)
\(30\) −1110.72 1197.08i −1.23414 1.33008i
\(31\) 1353.00 922.457i 1.40790 0.959893i 0.409027 0.912522i \(-0.365868\pi\)
0.998877 0.0473709i \(-0.0150843\pi\)
\(32\) 104.118 + 83.0313i 0.101678 + 0.0810853i
\(33\) 615.771 663.643i 0.565446 0.609406i
\(34\) −142.438 + 945.012i −0.123216 + 0.817485i
\(35\) −122.850 538.239i −0.100285 0.439379i
\(36\) 28.3405 + 49.0872i 0.0218677 + 0.0378759i
\(37\) −1803.12 1041.03i −1.31711 0.760434i −0.333847 0.942627i \(-0.608347\pi\)
−0.983263 + 0.182193i \(0.941680\pi\)
\(38\) 855.378 + 263.849i 0.592367 + 0.182721i
\(39\) 1728.98 1378.82i 1.13674 0.906520i
\(40\) −178.735 + 2385.06i −0.111710 + 1.49066i
\(41\) 2606.62 + 1255.28i 1.55064 + 0.746748i 0.996333 0.0855641i \(-0.0272692\pi\)
0.554307 + 0.832313i \(0.312984\pi\)
\(42\) 684.662i 0.388131i
\(43\) −1840.20 + 180.210i −0.995239 + 0.0974634i
\(44\) −81.0802 −0.0418803
\(45\) −856.363 + 1778.26i −0.422895 + 0.878151i
\(46\) −1089.09 81.6158i −0.514692 0.0385708i
\(47\) 1376.20 + 1725.70i 0.622997 + 0.781213i 0.988763 0.149494i \(-0.0477644\pi\)
−0.365766 + 0.930707i \(0.619193\pi\)
\(48\) −817.094 + 2648.95i −0.354641 + 1.14972i
\(49\) −1084.77 + 1878.87i −0.451797 + 0.782536i
\(50\) −2317.04 + 1337.74i −0.926816 + 0.535097i
\(51\) 2803.16 639.803i 1.07772 0.245983i
\(52\) −195.846 29.5190i −0.0724281 0.0109168i
\(53\) 1949.64 + 1809.00i 0.694069 + 0.644002i 0.946159 0.323702i \(-0.104928\pi\)
−0.252090 + 0.967704i \(0.581118\pi\)
\(54\) 746.597 936.203i 0.256035 0.321057i
\(55\) −1590.44 2332.74i −0.525765 0.771155i
\(56\) −735.088 + 682.062i −0.234403 + 0.217494i
\(57\) −201.256 2685.58i −0.0619441 0.826587i
\(58\) 129.385 329.667i 0.0384616 0.0979986i
\(59\) −437.283 + 1915.86i −0.125620 + 0.550377i 0.872474 + 0.488661i \(0.162515\pi\)
−0.998094 + 0.0617163i \(0.980343\pi\)
\(60\) 420.460 129.695i 0.116795 0.0360263i
\(61\) −2072.12 + 3039.24i −0.556872 + 0.816782i −0.996689 0.0813059i \(-0.974091\pi\)
0.439817 + 0.898087i \(0.355043\pi\)
\(62\) −943.921 6262.51i −0.245557 1.62916i
\(63\) −770.309 + 302.324i −0.194081 + 0.0761713i
\(64\) 3898.40 1877.37i 0.951757 0.458342i
\(65\) −2992.35 6213.68i −0.708248 1.47069i
\(66\) −1279.19 3259.31i −0.293661 0.748236i
\(67\) 5144.37 775.389i 1.14599 0.172731i 0.451529 0.892256i \(-0.350879\pi\)
0.694466 + 0.719526i \(0.255641\pi\)
\(68\) −212.763 145.059i −0.0460127 0.0313709i
\(69\) 968.501 + 3139.80i 0.203424 + 0.659484i
\(70\) −2081.66 475.126i −0.424829 0.0969645i
\(71\) 4851.30 + 1903.99i 0.962368 + 0.377702i 0.793929 0.608010i \(-0.208032\pi\)
0.168439 + 0.985712i \(0.446127\pi\)
\(72\) 3574.95 267.906i 0.689613 0.0516793i
\(73\) −5889.38 6347.25i −1.10516 1.19108i −0.980012 0.198938i \(-0.936251\pi\)
−0.125145 0.992138i \(-0.539940\pi\)
\(74\) −6653.28 + 4536.13i −1.21499 + 0.828365i
\(75\) 6293.26 + 5018.71i 1.11880 + 0.892215i
\(76\) −164.054 + 176.809i −0.0284028 + 0.0306109i
\(77\) 176.425 1170.50i 0.0297563 0.197420i
\(78\) −1903.20 8338.45i −0.312820 1.37055i
\(79\) −410.541 711.079i −0.0657813 0.113937i 0.831259 0.555885i \(-0.187621\pi\)
−0.897040 + 0.441949i \(0.854287\pi\)
\(80\) 7486.91 + 4322.57i 1.16983 + 0.675401i
\(81\) −7652.50 2360.48i −1.16636 0.359775i
\(82\) 8748.17 6976.43i 1.30104 1.03754i
\(83\) −570.702 + 7615.49i −0.0828425 + 1.10546i 0.788583 + 0.614928i \(0.210815\pi\)
−0.871426 + 0.490528i \(0.836804\pi\)
\(84\) 166.211 + 80.0432i 0.0235560 + 0.0113440i
\(85\) 8966.78i 1.24108i
\(86\) −2460.02 + 6714.64i −0.332615 + 0.907874i
\(87\) −1065.48 −0.140769
\(88\) −2225.04 + 4620.33i −0.287324 + 0.596634i
\(89\) −6730.01 504.345i −0.849642 0.0636719i −0.357211 0.934024i \(-0.616272\pi\)
−0.492431 + 0.870352i \(0.663891\pi\)
\(90\) 4759.37 + 5968.06i 0.587576 + 0.736797i
\(91\) 852.295 2763.07i 0.102922 0.333664i
\(92\) 147.137 254.849i 0.0173839 0.0301098i
\(93\) −16501.2 + 9527.00i −1.90788 + 1.10151i
\(94\) 8322.61 1899.58i 0.941898 0.214982i
\(95\) −8304.96 1251.77i −0.920217 0.138700i
\(96\) −1135.91 1053.97i −0.123254 0.114363i
\(97\) 9533.63 11954.8i 1.01325 1.27057i 0.0509117 0.998703i \(-0.483787\pi\)
0.962335 0.271868i \(-0.0876413\pi\)
\(98\) 4726.68 + 6932.77i 0.492158 + 0.721863i
\(99\) −3102.19 + 2878.41i −0.316517 + 0.293685i
\(100\) −53.8732 718.888i −0.00538732 0.0718888i
\(101\) −3143.97 + 8010.71i −0.308202 + 0.785286i 0.689911 + 0.723894i \(0.257649\pi\)
−0.998114 + 0.0613927i \(0.980446\pi\)
\(102\) 2474.47 10841.3i 0.237838 1.04204i
\(103\) −14488.7 + 4469.16i −1.36570 + 0.421262i −0.889041 0.457828i \(-0.848627\pi\)
−0.476656 + 0.879090i \(0.658151\pi\)
\(104\) −7056.61 + 10350.1i −0.652423 + 0.956929i
\(105\) 957.430 + 6352.13i 0.0868417 + 0.576157i
\(106\) 9575.15 3757.97i 0.852185 0.334458i
\(107\) 13579.3 6539.46i 1.18607 0.571182i 0.266396 0.963864i \(-0.414167\pi\)
0.919674 + 0.392682i \(0.128453\pi\)
\(108\) 139.992 + 290.697i 0.0120021 + 0.0249226i
\(109\) 3164.04 + 8061.85i 0.266311 + 0.678550i 1.00000 0.000936280i \(-0.000298027\pi\)
−0.733688 + 0.679486i \(0.762203\pi\)
\(110\) −10797.4 + 1627.44i −0.892346 + 0.134500i
\(111\) 20016.8 + 13647.3i 1.62461 + 1.10764i
\(112\) 1068.37 + 3463.58i 0.0851701 + 0.276115i
\(113\) 18196.2 + 4153.17i 1.42503 + 0.325254i 0.864397 0.502809i \(-0.167700\pi\)
0.560634 + 0.828063i \(0.310557\pi\)
\(114\) −9695.72 3805.29i −0.746054 0.292805i
\(115\) 10218.4 765.765i 0.772660 0.0579028i
\(116\) 64.9050 + 69.9510i 0.00482350 + 0.00519850i
\(117\) −8541.14 + 5823.25i −0.623942 + 0.425396i
\(118\) 5942.11 + 4738.67i 0.426753 + 0.340324i
\(119\) 2557.09 2755.88i 0.180572 0.194611i
\(120\) 4147.82 27519.0i 0.288043 1.91104i
\(121\) 1910.89 + 8372.15i 0.130516 + 0.571829i
\(122\) 7113.21 + 12320.4i 0.477910 + 0.827764i
\(123\) −29153.7 16831.9i −1.92701 1.11256i
\(124\) 1630.66 + 502.993i 0.106053 + 0.0327129i
\(125\) 1894.57 1510.87i 0.121252 0.0966956i
\(126\) −239.169 + 3191.49i −0.0150648 + 0.201026i
\(127\) −10593.8 5101.71i −0.656818 0.316307i 0.0756241 0.997136i \(-0.475905\pi\)
−0.732442 + 0.680830i \(0.761619\pi\)
\(128\) 14603.7i 0.891340i
\(129\) 21508.9 490.888i 1.29253 0.0294987i
\(130\) −26673.1 −1.57829
\(131\) 796.673 1654.31i 0.0464235 0.0963993i −0.876467 0.481462i \(-0.840106\pi\)
0.922890 + 0.385063i \(0.125820\pi\)
\(132\) 940.792 + 70.5026i 0.0539940 + 0.00404629i
\(133\) −2195.51 2753.08i −0.124117 0.155638i
\(134\) 5930.71 19226.9i 0.330292 1.07078i
\(135\) −5617.57 + 9729.91i −0.308234 + 0.533877i
\(136\) −14104.9 + 8143.45i −0.762590 + 0.440282i
\(137\) −24943.8 + 5693.25i −1.32899 + 0.303333i −0.827321 0.561729i \(-0.810136\pi\)
−0.501666 + 0.865062i \(0.667279\pi\)
\(138\) 12566.0 + 1894.01i 0.659839 + 0.0994547i
\(139\) 10734.1 + 9959.76i 0.555565 + 0.515489i 0.907229 0.420637i \(-0.138194\pi\)
−0.351664 + 0.936126i \(0.614384\pi\)
\(140\) 358.708 449.806i 0.0183014 0.0229493i
\(141\) −14467.8 21220.4i −0.727720 1.06737i
\(142\) 14775.3 13709.5i 0.732758 0.679900i
\(143\) −1105.05 14745.9i −0.0540394 0.721106i
\(144\) 4734.15 12062.4i 0.228306 0.581714i
\(145\) −739.396 + 3239.50i −0.0351675 + 0.154079i
\(146\) −32000.0 + 9870.69i −1.50122 + 0.463065i
\(147\) 14220.5 20857.7i 0.658084 0.965232i
\(148\) −323.381 2145.49i −0.0147635 0.0979497i
\(149\) 4761.58 1868.78i 0.214476 0.0841756i −0.255671 0.966764i \(-0.582296\pi\)
0.470147 + 0.882588i \(0.344201\pi\)
\(150\) 28048.4 13507.4i 1.24659 0.600328i
\(151\) −2599.38 5397.66i −0.114003 0.236729i 0.836159 0.548488i \(-0.184796\pi\)
−0.950161 + 0.311759i \(0.899082\pi\)
\(152\) 5573.35 + 14200.7i 0.241229 + 0.614640i
\(153\) −13290.2 + 2003.17i −0.567737 + 0.0855726i
\(154\) −3782.61 2578.94i −0.159496 0.108743i
\(155\) 17515.0 + 56782.1i 0.729030 + 2.36346i
\(156\) 2246.78 + 512.812i 0.0923231 + 0.0210721i
\(157\) −9122.19 3580.20i −0.370084 0.145247i 0.173008 0.984920i \(-0.444651\pi\)
−0.543092 + 0.839673i \(0.682747\pi\)
\(158\) −3166.69 + 237.311i −0.126850 + 0.00950613i
\(159\) −21049.1 22685.6i −0.832606 0.897336i
\(160\) −3992.77 + 2722.23i −0.155968 + 0.106337i
\(161\) 3358.94 + 2678.67i 0.129584 + 0.103340i
\(162\) −21066.6 + 22704.4i −0.802720 + 0.865126i
\(163\) 2080.74 13804.8i 0.0783144 0.519582i −0.914937 0.403598i \(-0.867760\pi\)
0.993251 0.115985i \(-0.0370023\pi\)
\(164\) 670.887 + 2939.35i 0.0249437 + 0.109286i
\(165\) 16425.8 + 28450.3i 0.603335 + 1.04501i
\(166\) 25578.8 + 14767.9i 0.928247 + 0.535924i
\(167\) 14891.8 + 4593.51i 0.533966 + 0.164707i 0.550000 0.835165i \(-0.314628\pi\)
−0.0160337 + 0.999871i \(0.505104\pi\)
\(168\) 9122.48 7274.93i 0.323217 0.257757i
\(169\) 564.991 7539.28i 0.0197819 0.263971i
\(170\) −31245.1 15046.8i −1.08114 0.520652i
\(171\) 12588.9i 0.430521i
\(172\) −1342.47 1382.21i −0.0453784 0.0467214i
\(173\) −14096.3 −0.470993 −0.235496 0.971875i \(-0.575672\pi\)
−0.235496 + 0.971875i \(0.575672\pi\)
\(174\) −1787.94 + 3712.70i −0.0590548 + 0.122628i
\(175\) 10495.4 + 786.519i 0.342706 + 0.0256822i
\(176\) 11557.1 + 14492.2i 0.373099 + 0.467852i
\(177\) 6739.83 21850.0i 0.215131 0.697436i
\(178\) −13050.8 + 22604.7i −0.411905 + 0.713441i
\(179\) 19390.7 11195.3i 0.605186 0.349404i −0.165893 0.986144i \(-0.553051\pi\)
0.771079 + 0.636740i \(0.219717\pi\)
\(180\) −2005.24 + 457.683i −0.0618902 + 0.0141260i
\(181\) 35873.3 + 5407.02i 1.09500 + 0.165045i 0.671611 0.740904i \(-0.265603\pi\)
0.423388 + 0.905948i \(0.360841\pi\)
\(182\) −8197.82 7606.47i −0.247489 0.229636i
\(183\) 26686.1 33463.3i 0.796860 0.999231i
\(184\) −10484.7 15378.3i −0.309686 0.454226i
\(185\) 55384.2 51389.1i 1.61824 1.50151i
\(186\) 5507.02 + 73486.1i 0.159181 + 2.12412i
\(187\) 7023.98 17896.8i 0.200863 0.511791i
\(188\) −511.838 + 2242.51i −0.0144816 + 0.0634481i
\(189\) −4501.23 + 1388.45i −0.126011 + 0.0388692i
\(190\) −18298.1 + 26838.4i −0.506873 + 0.743446i
\(191\) −6181.18 41009.5i −0.169436 1.12413i −0.898271 0.439443i \(-0.855176\pi\)
0.728835 0.684689i \(-0.240062\pi\)
\(192\) −46866.5 + 18393.7i −1.27133 + 0.498962i
\(193\) −30672.8 + 14771.2i −0.823453 + 0.396554i −0.797656 0.603113i \(-0.793927\pi\)
−0.0257972 + 0.999667i \(0.508212\pi\)
\(194\) −25658.9 53281.2i −0.681764 1.41570i
\(195\) 29317.9 + 74700.7i 0.771016 + 1.96452i
\(196\) −2235.62 + 336.965i −0.0581950 + 0.00877148i
\(197\) 23405.3 + 15957.5i 0.603090 + 0.411180i 0.826009 0.563657i \(-0.190606\pi\)
−0.222919 + 0.974837i \(0.571558\pi\)
\(198\) 4824.25 + 15639.8i 0.123055 + 0.398935i
\(199\) 14443.9 + 3296.73i 0.364736 + 0.0832486i 0.400961 0.916095i \(-0.368676\pi\)
−0.0362251 + 0.999344i \(0.511533\pi\)
\(200\) −42444.0 16658.1i −1.06110 0.416451i
\(201\) −60365.6 + 4523.77i −1.49416 + 0.111972i
\(202\) 22637.8 + 24397.8i 0.554794 + 0.597926i
\(203\) −1151.07 + 784.785i −0.0279325 + 0.0190440i
\(204\) 2342.60 + 1868.16i 0.0562908 + 0.0448904i
\(205\) −71407.6 + 76959.1i −1.69917 + 1.83127i
\(206\) −8739.96 + 57985.9i −0.205956 + 1.36643i
\(207\) −3417.77 14974.2i −0.0797630 0.349465i
\(208\) 22639.6 + 39212.9i 0.523288 + 0.906362i
\(209\) −15595.3 9003.97i −0.357028 0.206130i
\(210\) 23740.9 + 7323.09i 0.538342 + 0.166056i
\(211\) 7620.58 6077.21i 0.171168 0.136502i −0.534159 0.845384i \(-0.679372\pi\)
0.705327 + 0.708882i \(0.250800\pi\)
\(212\) −207.121 + 2763.84i −0.00460843 + 0.0614952i
\(213\) −54635.2 26310.9i −1.20424 0.579931i
\(214\) 58291.3i 1.27285i
\(215\) 13433.8 65736.9i 0.290617 1.42211i
\(216\) 20407.0 0.437394
\(217\) −10809.6 + 22446.4i −0.229557 + 0.476681i
\(218\) 33401.3 + 2503.08i 0.702830 + 0.0526698i
\(219\) 62816.7 + 78769.6i 1.30975 + 1.64237i
\(220\) 867.227 2811.48i 0.0179179 0.0580884i
\(221\) 23481.9 40671.8i 0.480782 0.832738i
\(222\) 81143.9 46848.5i 1.64646 0.950582i
\(223\) −16319.7 + 3724.86i −0.328172 + 0.0749031i −0.383433 0.923569i \(-0.625258\pi\)
0.0552607 + 0.998472i \(0.482401\pi\)
\(224\) −2003.46 301.973i −0.0399287 0.00601828i
\(225\) −27582.3 25592.6i −0.544835 0.505533i
\(226\) 45006.3 56436.2i 0.881164 1.10494i
\(227\) −51326.6 75282.3i −0.996073 1.46097i −0.884122 0.467256i \(-0.845242\pi\)
−0.111951 0.993714i \(-0.535710\pi\)
\(228\) 2057.30 1908.90i 0.0395757 0.0367209i
\(229\) −5617.01 74953.7i −0.107111 1.42930i −0.749036 0.662529i \(-0.769483\pi\)
0.641925 0.766767i \(-0.278136\pi\)
\(230\) 14478.8 36891.5i 0.273702 0.697381i
\(231\) −3064.91 + 13428.2i −0.0574372 + 0.251649i
\(232\) 5767.29 1778.97i 0.107151 0.0330517i
\(233\) 11829.8 17351.1i 0.217903 0.319605i −0.701686 0.712486i \(-0.747569\pi\)
0.919589 + 0.392881i \(0.128521\pi\)
\(234\) 5958.75 + 39533.7i 0.108824 + 0.721998i
\(235\) −74558.9 + 29262.2i −1.35009 + 0.529872i
\(236\) −1845.06 + 888.536i −0.0331274 + 0.0159533i
\(237\) 4145.29 + 8607.79i 0.0738004 + 0.153248i
\(238\) −5312.02 13534.8i −0.0937791 0.238945i
\(239\) 25241.6 3804.56i 0.441897 0.0666053i 0.0756748 0.997133i \(-0.475889\pi\)
0.366223 + 0.930527i \(0.380651\pi\)
\(240\) −83113.7 56666.0i −1.44295 0.983784i
\(241\) 8364.66 + 27117.6i 0.144017 + 0.466892i 0.998627 0.0523779i \(-0.0166800\pi\)
−0.854610 + 0.519270i \(0.826204\pi\)
\(242\) 32379.6 + 7390.44i 0.552893 + 0.126194i
\(243\) 63396.0 + 24881.1i 1.07362 + 0.421364i
\(244\) −3822.55 + 286.461i −0.0642058 + 0.00481156i
\(245\) −53547.8 57710.8i −0.892092 0.961446i
\(246\) −107573. + 73342.3i −1.77760 + 1.21195i
\(247\) −34391.8 27426.5i −0.563716 0.449549i
\(248\) 73412.3 79119.6i 1.19362 1.28641i
\(249\) 13244.0 87868.0i 0.213609 1.41720i
\(250\) −2085.47 9137.04i −0.0333675 0.146193i
\(251\) 47616.2 + 82473.7i 0.755801 + 1.30909i 0.944975 + 0.327142i \(0.106086\pi\)
−0.189174 + 0.981944i \(0.560581\pi\)
\(252\) −746.817 431.175i −0.0117602 0.00678973i
\(253\) 20994.8 + 6476.05i 0.327998 + 0.101174i
\(254\) −35554.2 + 28353.5i −0.551091 + 0.439481i
\(255\) −7796.99 + 104044.i −0.119908 + 1.60006i
\(256\) 11487.2 + 5531.94i 0.175281 + 0.0844108i
\(257\) 49874.1i 0.755107i −0.925988 0.377554i \(-0.876765\pi\)
0.925988 0.377554i \(-0.123235\pi\)
\(258\) 34382.9 75772.4i 0.516538 1.13834i
\(259\) 31676.8 0.472217
\(260\) 3118.33 6475.28i 0.0461291 0.0957881i
\(261\) 4966.63 + 372.197i 0.0729089 + 0.00546377i
\(262\) −4427.63 5552.08i −0.0645014 0.0808822i
\(263\) −14657.4 + 47518.1i −0.211907 + 0.686985i 0.785748 + 0.618546i \(0.212278\pi\)
−0.997655 + 0.0684392i \(0.978198\pi\)
\(264\) 29835.2 51676.0i 0.428076 0.741449i
\(265\) −83580.8 + 48255.4i −1.19019 + 0.687154i
\(266\) −13277.4 + 3030.48i −0.187650 + 0.0428300i
\(267\) 77651.4 + 11704.1i 1.08925 + 0.164178i
\(268\) 3974.24 + 3687.56i 0.0553331 + 0.0513416i
\(269\) −49832.0 + 62487.3i −0.688658 + 0.863550i −0.996120 0.0880106i \(-0.971949\pi\)
0.307461 + 0.951561i \(0.400520\pi\)
\(270\) 24477.6 + 35902.0i 0.335769 + 0.492483i
\(271\) −21057.0 + 19538.0i −0.286720 + 0.266037i −0.810399 0.585878i \(-0.800750\pi\)
0.523679 + 0.851916i \(0.324559\pi\)
\(272\) 4399.38 + 58705.6i 0.0594639 + 0.793490i
\(273\) −12292.0 + 31319.5i −0.164929 + 0.420232i
\(274\) −22018.9 + 96471.1i −0.293288 + 1.28498i
\(275\) 51432.3 15864.8i 0.680097 0.209782i
\(276\) −1928.87 + 2829.14i −0.0253213 + 0.0371395i
\(277\) 22430.2 + 148815.i 0.292330 + 1.93948i 0.339524 + 0.940597i \(0.389734\pi\)
−0.0471939 + 0.998886i \(0.515028\pi\)
\(278\) 52717.6 20690.1i 0.682128 0.267716i
\(279\) 80247.0 38644.9i 1.03091 0.496460i
\(280\) −15788.3 32784.7i −0.201381 0.418172i
\(281\) 6301.21 + 16055.2i 0.0798015 + 0.203331i 0.965206 0.261490i \(-0.0842139\pi\)
−0.885405 + 0.464821i \(0.846119\pi\)
\(282\) −98221.0 + 14804.4i −1.23511 + 0.186163i
\(283\) −23923.2 16310.6i −0.298708 0.203656i 0.404686 0.914456i \(-0.367381\pi\)
−0.703394 + 0.710800i \(0.748333\pi\)
\(284\) 1600.80 + 5189.68i 0.0198473 + 0.0643434i
\(285\) 95275.9 + 21746.1i 1.17299 + 0.267727i
\(286\) −53237.0 20894.0i −0.650851 0.255440i
\(287\) −43893.3 + 3289.35i −0.532887 + 0.0399343i
\(288\) 4926.74 + 5309.76i 0.0593984 + 0.0640163i
\(289\) −18557.8 + 12652.5i −0.222193 + 0.151488i
\(290\) 10047.4 + 8012.55i 0.119470 + 0.0952741i
\(291\) −121016. + 130424.i −1.42908 + 1.54019i
\(292\) 1344.84 8922.41i 0.0157726 0.104645i
\(293\) 19886.5 + 87128.5i 0.231645 + 1.01490i 0.948275 + 0.317450i \(0.102827\pi\)
−0.716630 + 0.697454i \(0.754316\pi\)
\(294\) −48816.5 84552.6i −0.564770 0.978210i
\(295\) −61756.0 35654.8i −0.709635 0.409708i
\(296\) −131135. 40449.7i −1.49670 0.461670i
\(297\) −18833.9 + 15019.5i −0.213514 + 0.170272i
\(298\) 1478.40 19727.8i 0.0166479 0.222150i
\(299\) 48354.4 + 23286.2i 0.540870 + 0.260469i
\(300\) 8388.27i 0.0932030i
\(301\) 22875.2 16372.9i 0.252483 0.180714i
\(302\) −23170.3 −0.254049
\(303\) 43445.9 90216.3i 0.473220 0.982652i
\(304\) 54986.8 + 4120.69i 0.594992 + 0.0445885i
\(305\) −83223.5 104359.i −0.894636 1.12184i
\(306\) −15321.6 + 49671.5i −0.163630 + 0.530474i
\(307\) 70713.4 122479.i 0.750282 1.29953i −0.197403 0.980322i \(-0.563251\pi\)
0.947686 0.319205i \(-0.103416\pi\)
\(308\) 1068.30 616.781i 0.0112613 0.00650174i
\(309\) 172002. 39258.2i 1.80142 0.411163i
\(310\) 227250. + 34252.5i 2.36473 + 0.356426i
\(311\) −37810.1 35082.6i −0.390919 0.362720i 0.460089 0.887873i \(-0.347818\pi\)
−0.851008 + 0.525153i \(0.824008\pi\)
\(312\) 90879.4 113959.i 0.933590 1.17068i
\(313\) 88338.9 + 129569.i 0.901702 + 1.32255i 0.946213 + 0.323545i \(0.104875\pi\)
−0.0445104 + 0.999009i \(0.514173\pi\)
\(314\) −27783.0 + 25778.8i −0.281786 + 0.261459i
\(315\) −2244.02 29944.3i −0.0226154 0.301782i
\(316\) 312.604 796.503i 0.00313055 0.00797652i
\(317\) 26446.0 115867.i 0.263173 1.15304i −0.654614 0.755963i \(-0.727169\pi\)
0.917787 0.397073i \(-0.129974\pi\)
\(318\) −114370. + 35278.6i −1.13099 + 0.348865i
\(319\) −4013.38 + 5886.54i −0.0394392 + 0.0578467i
\(320\) 23401.4 + 155258.i 0.228530 + 1.51619i
\(321\) −163250. + 64071.1i −1.58432 + 0.621802i
\(322\) 14970.4 7209.39i 0.144385 0.0695323i
\(323\) −24814.9 51528.7i −0.237852 0.493906i
\(324\) −3048.93 7768.55i −0.0290441 0.0740031i
\(325\) 130009. 19595.6i 1.23085 0.185521i
\(326\) −44611.7 30415.7i −0.419772 0.286196i
\(327\) −29703.0 96294.8i −0.277783 0.900549i
\(328\) 185909. + 42432.4i 1.72803 + 0.394412i
\(329\) −31260.0 12268.6i −0.288800 0.113346i
\(330\) 126700. 9494.84i 1.16345 0.0871886i
\(331\) −99870.1 107634.i −0.911548 0.982415i 0.0883582 0.996089i \(-0.471838\pi\)
−0.999907 + 0.0136733i \(0.995648\pi\)
\(332\) −6575.50 + 4483.10i −0.0596558 + 0.0406726i
\(333\) −88539.3 70607.7i −0.798450 0.636742i
\(334\) 40995.6 44182.8i 0.367489 0.396059i
\(335\) −28136.9 + 186676.i −0.250719 + 1.66341i
\(336\) −9384.85 41117.7i −0.0831283 0.364209i
\(337\) −1300.16 2251.95i −0.0114482 0.0198289i 0.860245 0.509882i \(-0.170311\pi\)
−0.871693 + 0.490053i \(0.836977\pi\)
\(338\) −25322.8 14620.1i −0.221655 0.127973i
\(339\) −207524. 64012.6i −1.80579 0.557014i
\(340\) 7305.66 5826.07i 0.0631977 0.0503985i
\(341\) −9521.20 + 127052.i −0.0818809 + 1.09263i
\(342\) 43866.4 + 21125.0i 0.375042 + 0.180611i
\(343\) 69536.5i 0.591050i
\(344\) −115605. + 38569.4i −0.976924 + 0.325932i
\(345\) −119233. −1.00174
\(346\) −23654.6 + 49119.2i −0.197589 + 0.410298i
\(347\) 136097. + 10199.0i 1.13029 + 0.0847032i 0.626713 0.779250i \(-0.284400\pi\)
0.503572 + 0.863953i \(0.332019\pi\)
\(348\) −692.283 868.095i −0.00571643 0.00716818i
\(349\) −6427.61 + 20837.8i −0.0527714 + 0.171081i −0.978122 0.208031i \(-0.933294\pi\)
0.925351 + 0.379112i \(0.123771\pi\)
\(350\) 20352.6 35251.7i 0.166143 0.287769i
\(351\) −50960.6 + 29422.1i −0.413638 + 0.238814i
\(352\) −10101.6 + 2305.62i −0.0815276 + 0.0186081i
\(353\) 140830. + 21226.7i 1.13017 + 0.170346i 0.687394 0.726285i \(-0.258755\pi\)
0.442778 + 0.896631i \(0.353993\pi\)
\(354\) −64827.2 60150.8i −0.517310 0.479993i
\(355\) −117911. + 147855.i −0.935613 + 1.17322i
\(356\) −3961.84 5810.95i −0.0312606 0.0458508i
\(357\) −32066.8 + 29753.7i −0.251605 + 0.233455i
\(358\) −6471.35 86354.1i −0.0504927 0.673778i
\(359\) −50189.0 + 127879.i −0.389421 + 0.992228i 0.592942 + 0.805245i \(0.297966\pi\)
−0.982363 + 0.186983i \(0.940129\pi\)
\(360\) −28947.7 + 126828.i −0.223362 + 0.978612i
\(361\) 73341.6 22622.9i 0.562776 0.173594i
\(362\) 79038.6 115928.i 0.603146 0.884652i
\(363\) −14892.5 98805.5i −0.113020 0.749839i
\(364\) 2804.97 1100.87i 0.0211703 0.00830871i
\(365\) 283085. 136327.i 2.12486 1.02328i
\(366\) −71823.0 149142.i −0.536169 1.11337i
\(367\) −89689.3 228525.i −0.665899 1.69668i −0.716150 0.697947i \(-0.754097\pi\)
0.0502506 0.998737i \(-0.483998\pi\)
\(368\) −66524.4 + 10026.9i −0.491230 + 0.0740411i
\(369\) 130018. + 88644.5i 0.954882 + 0.651027i
\(370\) −86128.7 279223.i −0.629136 2.03961i
\(371\) −39449.2 9004.02i −0.286609 0.0654167i
\(372\) −18483.6 7254.28i −0.133567 0.0524214i
\(373\) 73042.4 5473.77i 0.524998 0.0393431i 0.190404 0.981706i \(-0.439020\pi\)
0.334593 + 0.942363i \(0.391401\pi\)
\(374\) −50575.4 54507.4i −0.361573 0.389683i
\(375\) −23296.9 + 15883.6i −0.165667 + 0.112950i
\(376\) 113743. + 90706.8i 0.804540 + 0.641600i
\(377\) −11837.3 + 12757.5i −0.0832853 + 0.0897602i
\(378\) −2715.27 + 18014.6i −0.0190033 + 0.126079i
\(379\) −29765.1 130410.i −0.207219 0.907886i −0.966407 0.257015i \(-0.917261\pi\)
0.759189 0.650871i \(-0.225596\pi\)
\(380\) −4376.18 7579.77i −0.0303060 0.0524915i
\(381\) 118486. + 68408.1i 0.816241 + 0.471257i
\(382\) −153271. 47278.0i −1.05035 0.323990i
\(383\) −205172. + 163619.i −1.39869 + 1.11541i −0.420592 + 0.907250i \(0.638178\pi\)
−0.978094 + 0.208165i \(0.933251\pi\)
\(384\) −12698.5 + 169450.i −0.0861175 + 1.14916i
\(385\) 38700.6 + 18637.2i 0.261093 + 0.125736i
\(386\) 131668.i 0.883699i
\(387\) −100433. 5225.36i −0.670588 0.0348895i
\(388\) 15934.5 0.105846
\(389\) −57334.2 + 119056.i −0.378891 + 0.786775i 0.621104 + 0.783728i \(0.286684\pi\)
−0.999995 + 0.00304739i \(0.999030\pi\)
\(390\) 309495. + 23193.4i 2.03481 + 0.152488i
\(391\) 43506.4 + 54555.3i 0.284577 + 0.356848i
\(392\) −42148.9 + 136643.i −0.274292 + 0.889234i
\(393\) −10682.5 + 18502.6i −0.0691651 + 0.119797i
\(394\) 94880.1 54779.0i 0.611199 0.352876i
\(395\) 29048.0 6630.01i 0.186175 0.0424933i
\(396\) −4360.78 657.283i −0.0278083 0.00419143i
\(397\) 26706.3 + 24779.8i 0.169446 + 0.157223i 0.760338 0.649528i \(-0.225033\pi\)
−0.590891 + 0.806751i \(0.701224\pi\)
\(398\) 35725.4 44798.2i 0.225533 0.282810i
\(399\) 23081.0 + 33853.7i 0.144981 + 0.212647i
\(400\) −120814. + 112099.i −0.755088 + 0.700619i
\(401\) −13056.3 174224.i −0.0811953 1.08348i −0.877816 0.478997i \(-0.841000\pi\)
0.796621 0.604479i \(-0.206619\pi\)
\(402\) −85534.1 + 217937.i −0.529282 + 1.34859i
\(403\) −69253.9 + 303421.i −0.426417 + 1.86825i
\(404\) −8569.46 + 2643.33i −0.0525038 + 0.0161953i
\(405\) 163701. 240105.i 0.998025 1.46383i
\(406\) 803.046 + 5327.86i 0.00487179 + 0.0323222i
\(407\) 150796. 59183.2i 0.910336 0.357281i
\(408\) 170743. 82225.6i 1.02571 0.493954i
\(409\) 9008.39 + 18706.1i 0.0538518 + 0.111824i 0.926158 0.377135i \(-0.123091\pi\)
−0.872306 + 0.488960i \(0.837377\pi\)
\(410\) 148340. + 377965.i 0.882452 + 2.24845i
\(411\) 294379. 44370.5i 1.74270 0.262670i
\(412\) −13055.1 8900.81i −0.0769105 0.0524367i
\(413\) −8812.51 28569.5i −0.0516654 0.167495i
\(414\) −57913.4 13218.4i −0.337893 0.0771218i
\(415\) −257965. 101244.i −1.49784 0.587858i
\(416\) −25239.4 + 1891.43i −0.145845 + 0.0109296i
\(417\) −115889. 124899.i −0.666457 0.718269i
\(418\) −57544.7 + 39233.3i −0.329346 + 0.224544i
\(419\) −144209. 115003.i −0.821419 0.655060i 0.119822 0.992795i \(-0.461768\pi\)
−0.941241 + 0.337736i \(0.890339\pi\)
\(420\) −4553.30 + 4907.29i −0.0258124 + 0.0278191i
\(421\) −5292.61 + 35114.1i −0.0298611 + 0.198115i −0.998787 0.0492349i \(-0.984322\pi\)
0.968926 + 0.247350i \(0.0795598\pi\)
\(422\) −8388.44 36752.1i −0.0471038 0.206375i
\(423\) 60027.5 + 103971.i 0.335482 + 0.581072i
\(424\) 151813. + 87649.2i 0.844456 + 0.487547i
\(425\) 163347. + 50385.9i 0.904344 + 0.278953i
\(426\) −183363. + 146227.i −1.01040 + 0.805764i
\(427\) 4182.17 55807.2i 0.0229375 0.306080i
\(428\) 14151.0 + 6814.77i 0.0772503 + 0.0372018i
\(429\) 172061.i 0.934906i
\(430\) −206520. 157121.i −1.11693 0.849763i
\(431\) 179627. 0.966979 0.483490 0.875350i \(-0.339369\pi\)
0.483490 + 0.875350i \(0.339369\pi\)
\(432\) 32004.5 66458.0i 0.171492 0.356106i
\(433\) −58169.5 4359.20i −0.310255 0.0232504i −0.0813073 0.996689i \(-0.525910\pi\)
−0.228948 + 0.973439i \(0.573529\pi\)
\(434\) 60076.1 + 75333.1i 0.318950 + 0.399950i
\(435\) 11396.3 36945.8i 0.0602260 0.195248i
\(436\) −4512.57 + 7815.99i −0.0237384 + 0.0411160i
\(437\) 56602.2 32679.3i 0.296395 0.171124i
\(438\) 379886. 86706.5i 1.98018 0.451964i
\(439\) 95372.0 + 14375.0i 0.494871 + 0.0745898i 0.391736 0.920078i \(-0.371875\pi\)
0.103135 + 0.994667i \(0.467113\pi\)
\(440\) −136413. 126572.i −0.704611 0.653783i
\(441\) −73573.8 + 92258.6i −0.378308 + 0.474384i
\(442\) −102318. 150073.i −0.523731 0.768173i
\(443\) −187437. + 173917.i −0.955100 + 0.886204i −0.993589 0.113056i \(-0.963936\pi\)
0.0384884 + 0.999259i \(0.487746\pi\)
\(444\) 1886.67 + 25175.8i 0.00957038 + 0.127708i
\(445\) 89472.0 227971.i 0.451822 1.15122i
\(446\) −14406.0 + 63117.0i −0.0724227 + 0.317305i
\(447\) −56874.7 + 17543.5i −0.284645 + 0.0878014i
\(448\) −37083.2 + 54391.1i −0.184766 + 0.271002i
\(449\) −24210.8 160628.i −0.120093 0.796763i −0.965076 0.261970i \(-0.915628\pi\)
0.844983 0.534793i \(-0.179610\pi\)
\(450\) −135463. + 53165.4i −0.668954 + 0.262545i
\(451\) −202807. + 97666.8i −0.997081 + 0.480169i
\(452\) 8439.02 + 17523.8i 0.0413062 + 0.0857732i
\(453\) 25467.7 + 64890.6i 0.124106 + 0.316217i
\(454\) −348453. + 52520.9i −1.69057 + 0.254812i
\(455\) 86694.3 + 59107.2i 0.418762 + 0.285507i
\(456\) −52320.8 169620.i −0.251620 0.815730i
\(457\) 217007. + 49530.4i 1.03906 + 0.237159i 0.707824 0.706388i \(-0.249677\pi\)
0.331237 + 0.943547i \(0.392534\pi\)
\(458\) −270605. 106205.i −1.29004 0.506305i
\(459\) −76293.2 + 5717.38i −0.362127 + 0.0271376i
\(460\) 7263.21 + 7827.88i 0.0343252 + 0.0369938i
\(461\) 74344.7 50687.3i 0.349823 0.238505i −0.375641 0.926765i \(-0.622578\pi\)
0.725464 + 0.688260i \(0.241625\pi\)
\(462\) 41648.0 + 33213.2i 0.195124 + 0.155606i
\(463\) 22993.1 24780.6i 0.107259 0.115598i −0.677140 0.735854i \(-0.736781\pi\)
0.784399 + 0.620256i \(0.212971\pi\)
\(464\) 3251.43 21571.8i 0.0151021 0.100196i
\(465\) −153856. 674086.i −0.711553 3.11752i
\(466\) −40609.3 70337.4i −0.187005 0.323903i
\(467\) −293550. 169481.i −1.34601 0.777120i −0.358330 0.933595i \(-0.616654\pi\)
−0.987682 + 0.156475i \(0.949987\pi\)
\(468\) −10294.0 3175.28i −0.0469994 0.0144974i
\(469\) −61882.7 + 49349.8i −0.281335 + 0.224357i
\(470\) −23149.4 + 308907.i −0.104796 + 1.39840i
\(471\) 102734. + 49474.0i 0.463097 + 0.223016i
\(472\) 129524.i 0.581389i
\(473\) 78306.4 120681.i 0.350006 0.539409i
\(474\) 36950.2 0.164460
\(475\) 69470.4 144257.i 0.307902 0.639365i
\(476\) 3906.79 + 292.773i 0.0172427 + 0.00129216i
\(477\) 90193.8 + 113099.i 0.396406 + 0.497077i
\(478\) 29099.9 94339.7i 0.127361 0.412894i
\(479\) 103806. 179798.i 0.452432 0.783635i −0.546105 0.837717i \(-0.683890\pi\)
0.998537 + 0.0540819i \(0.0172232\pi\)
\(480\) 48696.2 28114.7i 0.211355 0.122026i
\(481\) 385789. 88053.8i 1.66748 0.380591i
\(482\) 108529. + 16358.1i 0.467143 + 0.0704105i
\(483\) −36645.4 34002.0i −0.157082 0.145750i
\(484\) −5579.60 + 6996.60i −0.0238184 + 0.0298673i
\(485\) 312565. + 458449.i 1.32879 + 1.94898i
\(486\) 193082. 179154.i 0.817464 0.758496i
\(487\) 19627.1 + 261905.i 0.0827556 + 1.10430i 0.871768 + 0.489919i \(0.162974\pi\)
−0.789012 + 0.614378i \(0.789407\pi\)
\(488\) −88576.2 + 225688.i −0.371944 + 0.947697i
\(489\) −36147.1 + 158371.i −0.151167 + 0.662304i
\(490\) −290952. + 89746.8i −1.21180 + 0.373789i
\(491\) 226513. 332233.i 0.939571 1.37810i 0.0138440 0.999904i \(-0.495593\pi\)
0.925727 0.378193i \(-0.123454\pi\)
\(492\) −5228.57 34689.3i −0.0215999 0.143306i
\(493\) −21063.0 + 8266.62i −0.0866616 + 0.0340122i
\(494\) −153280. + 73815.9i −0.628106 + 0.302480i
\(495\) −66628.9 138356.i −0.271927 0.564662i
\(496\) −142530. 363159.i −0.579351 1.47616i
\(497\) −78403.5 + 11817.4i −0.317411 + 0.0478421i
\(498\) −283955. 193597.i −1.14496 0.780622i
\(499\) 117041. + 379436.i 0.470041 + 1.52383i 0.811736 + 0.584024i \(0.198523\pi\)
−0.341696 + 0.939811i \(0.611001\pi\)
\(500\) 2461.95 + 561.925i 0.00984781 + 0.00224770i
\(501\) −168799. 66248.6i −0.672502 0.263937i
\(502\) 367286. 27524.3i 1.45746 0.109222i
\(503\) 130045. + 140156.i 0.513996 + 0.553955i 0.935709 0.352774i \(-0.114762\pi\)
−0.421713 + 0.906729i \(0.638571\pi\)
\(504\) −45064.9 + 30724.7i −0.177410 + 0.120956i
\(505\) −244146. 194700.i −0.957342 0.763454i
\(506\) 57796.7 62290.0i 0.225737 0.243286i
\(507\) −13111.4 + 86988.7i −0.0510075 + 0.338413i
\(508\) −2726.61 11946.1i −0.0105656 0.0462911i
\(509\) 70691.5 + 122441.i 0.272855 + 0.472598i 0.969592 0.244728i \(-0.0786988\pi\)
−0.696737 + 0.717327i \(0.745365\pi\)
\(510\) 349460. + 201761.i 1.34356 + 0.775705i
\(511\) 125881. + 38829.2i 0.482079 + 0.148702i
\(512\) 221235. 176429.i 0.843944 0.673023i
\(513\) −5355.21 + 71460.3i −0.0203489 + 0.271538i
\(514\) −173788. 83692.0i −0.657800 0.316780i
\(515\) 550201.i 2.07447i
\(516\) 14375.1 + 17205.4i 0.0539899 + 0.0646197i
\(517\) −171734. −0.642504
\(518\) 53155.7 110379.i 0.198103 0.411364i
\(519\) 163563. + 12257.4i 0.607226 + 0.0455053i
\(520\) −283417. 355394.i −1.04814 1.31433i
\(521\) −681.699 + 2210.01i −0.00251141 + 0.00814178i −0.956820 0.290682i \(-0.906118\pi\)
0.954308 + 0.298823i \(0.0965942\pi\)
\(522\) 9631.26 16681.8i 0.0353461 0.0612213i
\(523\) 233994. 135097.i 0.855464 0.493902i −0.00702675 0.999975i \(-0.502237\pi\)
0.862491 + 0.506073i \(0.168903\pi\)
\(524\) 1865.47 425.782i 0.00679401 0.00155069i
\(525\) −121096. 18252.3i −0.439351 0.0662216i
\(526\) 140983. + 130813.i 0.509558 + 0.472801i
\(527\) −252290. + 316362.i −0.908404 + 1.13910i
\(528\) −121498. 178206.i −0.435816 0.639224i
\(529\) 146683. 136102.i 0.524165 0.486354i
\(530\) 27893.7 + 372216.i 0.0993013 + 1.32508i
\(531\) −39049.8 + 99497.2i −0.138494 + 0.352876i
\(532\) 816.555 3577.56i 0.00288511 0.0126405i
\(533\) −525430. + 162074.i −1.84953 + 0.570503i
\(534\) 171087. 250939.i 0.599978 0.880006i
\(535\) 81514.4 + 540813.i 0.284791 + 1.88947i
\(536\) 319198. 125276.i 1.11104 0.436051i
\(537\) −234730. + 113040.i −0.813992 + 0.391998i
\(538\) 134118. + 278499.i 0.463365 + 0.962187i
\(539\) −61669.4 157131.i −0.212272 0.540859i
\(540\) −11577.4 + 1745.01i −0.0397029 + 0.00598425i
\(541\) 251426. + 171419.i 0.859044 + 0.585686i 0.910742 0.412977i \(-0.135511\pi\)
−0.0516980 + 0.998663i \(0.516463\pi\)
\(542\) 32746.0 + 106160.i 0.111471 + 0.361379i
\(543\) −411544. 93932.3i −1.39578 0.318578i
\(544\) −30632.6 12022.4i −0.103511 0.0406250i
\(545\) −313389. + 23485.3i −1.05509 + 0.0790684i
\(546\) 88507.1 + 95388.0i 0.296888 + 0.319969i
\(547\) −16214.9 + 11055.1i −0.0541925 + 0.0369478i −0.590113 0.807320i \(-0.700917\pi\)
0.535921 + 0.844268i \(0.319965\pi\)
\(548\) −20845.5 16623.7i −0.0694146 0.0553563i
\(549\) −136084. + 146664.i −0.451505 + 0.486607i
\(550\) 31025.4 205840.i 0.102563 0.680463i
\(551\) 4716.06 + 20662.4i 0.0155338 + 0.0680578i
\(552\) 108285. + 187555.i 0.355377 + 0.615530i
\(553\) 10818.4 + 6246.01i 0.0353764 + 0.0204246i
\(554\) 556189. + 171562.i 1.81219 + 0.558986i
\(555\) −687321. + 548120.i −2.23138 + 1.77947i
\(556\) −1140.34 + 15216.8i −0.00368880 + 0.0492236i
\(557\) 131494. + 63324.0i 0.423833 + 0.204107i 0.633627 0.773638i \(-0.281565\pi\)
−0.209795 + 0.977745i \(0.567280\pi\)
\(558\) 344472.i 1.10633i
\(559\) 233082. 262991.i 0.745909 0.841624i
\(560\) −131528. −0.419413
\(561\) −97063.0 + 201553.i −0.308410 + 0.640419i
\(562\) 66518.8 + 4984.90i 0.210607 + 0.0157828i
\(563\) −69936.9 87698.1i −0.220643 0.276677i 0.659174 0.751991i \(-0.270906\pi\)
−0.879817 + 0.475313i \(0.842335\pi\)
\(564\) 7888.93 25575.3i 0.0248005 0.0804012i
\(565\) −338638. + 586538.i −1.06081 + 1.83738i
\(566\) −96979.5 + 55991.1i −0.302724 + 0.174778i
\(567\) 118784. 27111.7i 0.369481 0.0843316i
\(568\) 339663. + 51195.9i 1.05281 + 0.158686i
\(569\) −5364.03 4977.09i −0.0165679 0.0153727i 0.671845 0.740691i \(-0.265502\pi\)
−0.688413 + 0.725319i \(0.741692\pi\)
\(570\) 235654. 295501.i 0.725313 0.909514i
\(571\) −213139. 312618.i −0.653720 0.958831i −0.999787 0.0206214i \(-0.993436\pi\)
0.346067 0.938210i \(-0.387517\pi\)
\(572\) 11296.2 10481.3i 0.0345255 0.0320350i
\(573\) 36062.2 + 481217.i 0.109836 + 1.46566i
\(574\) −62194.0 + 158468.i −0.188766 + 0.480969i
\(575\) −43469.2 + 190451.i −0.131476 + 0.576034i
\(576\) 224889. 69369.1i 0.677834 0.209084i
\(577\) 36868.9 54076.7i 0.110741 0.162427i −0.766867 0.641806i \(-0.778186\pi\)
0.877608 + 0.479379i \(0.159138\pi\)
\(578\) 12946.9 + 85896.9i 0.0387533 + 0.257112i
\(579\) 368748. 144723.i 1.09995 0.431698i
\(580\) −3119.79 + 1502.41i −0.00927405 + 0.00446615i
\(581\) −50411.9 104681.i −0.149342 0.310111i
\(582\) 251396. + 640546.i 0.742185 + 1.89106i
\(583\) −204619. + 30841.4i −0.602018 + 0.0907396i
\(584\) −471536. 321488.i −1.38258 0.942624i
\(585\) −110568. 358452.i −0.323085 1.04742i
\(586\) 336973. + 76912.0i 0.981297 + 0.223975i
\(587\) 346254. + 135895.i 1.00489 + 0.394390i 0.809997 0.586434i \(-0.199469\pi\)
0.194893 + 0.980824i \(0.437564\pi\)
\(588\) 26233.4 1965.92i 0.0758752 0.00568606i
\(589\) 257792. + 277834.i 0.743085 + 0.800856i
\(590\) −227871. + 155360.i −0.654614 + 0.446308i
\(591\) −257702. 205510.i −0.737806 0.588381i
\(592\) −337388. + 363618.i −0.962689 + 1.03753i
\(593\) 59648.8 395744.i 0.169626 1.12539i −0.728304 0.685255i \(-0.759691\pi\)
0.897929 0.440139i \(-0.145071\pi\)
\(594\) 20731.6 + 90831.1i 0.0587571 + 0.257431i
\(595\) 68210.7 + 118144.i 0.192672 + 0.333718i
\(596\) 4616.37 + 2665.26i 0.0129959 + 0.00750321i
\(597\) −164729. 50812.3i −0.462192 0.142567i
\(598\) 162283. 129417.i 0.453808 0.361900i
\(599\) 24810.8 331077.i 0.0691491 0.922730i −0.849483 0.527616i \(-0.823086\pi\)
0.918632 0.395114i \(-0.129295\pi\)
\(600\) 478003. + 230194.i 1.32779 + 0.639428i
\(601\) 577356.i 1.59843i −0.601042 0.799217i \(-0.705248\pi\)
0.601042 0.799217i \(-0.294752\pi\)
\(602\) −18665.8 107184.i −0.0515056 0.295759i
\(603\) 282969. 0.778222
\(604\) 2708.81 5624.90i 0.00742514 0.0154185i
\(605\) −310745. 23287.1i −0.848973 0.0636217i
\(606\) −241457. 302777.i −0.657498 0.824477i
\(607\) −173946. + 563919.i −0.472103 + 1.53052i 0.336220 + 0.941783i \(0.390851\pi\)
−0.808324 + 0.588738i \(0.799625\pi\)
\(608\) −15411.4 + 26693.3i −0.0416903 + 0.0722096i
\(609\) 14038.5 8105.14i 0.0378518 0.0218538i
\(610\) −503297. + 114874.i −1.35259 + 0.308719i
\(611\) −414817. 62523.6i −1.11115 0.167479i
\(612\) −10267.2 9526.58i −0.0274126 0.0254351i
\(613\) −36787.1 + 46129.6i −0.0978983 + 0.122761i −0.828367 0.560185i \(-0.810730\pi\)
0.730469 + 0.682946i \(0.239301\pi\)
\(614\) −308122. 451931.i −0.817307 1.19877i
\(615\) 895478. 830882.i 2.36758 2.19679i
\(616\) −5830.49 77802.5i −0.0153654 0.205037i
\(617\) −82820.4 + 211023.i −0.217554 + 0.554318i −0.997433 0.0716125i \(-0.977186\pi\)
0.779879 + 0.625931i \(0.215281\pi\)
\(618\) 151833. 665224.i 0.397548 1.74177i
\(619\) 127709. 39393.1i 0.333304 0.102811i −0.123586 0.992334i \(-0.539439\pi\)
0.456890 + 0.889523i \(0.348963\pi\)
\(620\) −34882.9 + 51163.8i −0.0907463 + 0.133100i
\(621\) −13030.9 86454.4i −0.0337903 0.224184i
\(622\) −185695. + 72879.7i −0.479975 + 0.188376i
\(623\) 92509.8 44550.4i 0.238348 0.114782i
\(624\) −228595. 474682.i −0.587080 1.21908i
\(625\) −125834. 320619.i −0.322135 0.820786i
\(626\) 599727. 90394.4i 1.53040 0.230671i
\(627\) 173127. + 118036.i 0.440382 + 0.300247i
\(628\) −3010.09 9758.48i −0.00763239 0.0247436i
\(629\) 501588. + 114484.i 1.26779 + 0.289364i
\(630\) −108108. 42429.1i −0.272380 0.106901i
\(631\) 383877. 28767.6i 0.964125 0.0722512i 0.416644 0.909070i \(-0.363206\pi\)
0.547481 + 0.836818i \(0.315587\pi\)
\(632\) −36809.9 39671.6i −0.0921574 0.0993221i
\(633\) −93707.7 + 63888.9i −0.233867 + 0.159447i
\(634\) −359366. 286585.i −0.894044 0.712976i
\(635\) 290214. 312776.i 0.719732 0.775687i
\(636\) 4806.55 31889.4i 0.0118828 0.0788374i
\(637\) −91752.8 401995.i −0.226121 0.990700i
\(638\) 13777.2 + 23862.8i 0.0338469 + 0.0586245i
\(639\) 245486. + 141731.i 0.601207 + 0.347107i
\(640\) 506388. + 156200.i 1.23630 + 0.381348i
\(641\) −182480. + 145523.i −0.444118 + 0.354172i −0.819872 0.572547i \(-0.805955\pi\)
0.375754 + 0.926720i \(0.377384\pi\)
\(642\) −50686.7 + 676367.i −0.122977 + 1.64102i
\(643\) −459822. 221439.i −1.11216 0.535589i −0.214699 0.976680i \(-0.568877\pi\)
−0.897462 + 0.441091i \(0.854591\pi\)
\(644\) 4477.12i 0.0107951i
\(645\) −213036. + 751079.i −0.512075 + 1.80537i
\(646\) −221195. −0.530041
\(647\) 75825.0 157452.i 0.181136 0.376132i −0.790554 0.612392i \(-0.790207\pi\)
0.971690 + 0.236260i \(0.0759217\pi\)
\(648\) −526359. 39445.1i −1.25352 0.0939385i
\(649\) −95329.3 119539.i −0.226327 0.283806i
\(650\) 149881. 485902.i 0.354748 1.15006i
\(651\) 144945. 251052.i 0.342011 0.592381i
\(652\) 12599.3 7274.23i 0.0296383 0.0171117i
\(653\) 258426. 58984.0i 0.606052 0.138327i 0.0915265 0.995803i \(-0.470825\pi\)
0.514525 + 0.857475i \(0.327968\pi\)
\(654\) −385386. 58087.6i −0.901033 0.135809i
\(655\) 48842.5 + 45319.2i 0.113845 + 0.105633i
\(656\) 429748. 538886.i 0.998633 1.25225i
\(657\) −265298. 389121.i −0.614615 0.901474i
\(658\) −95206.8 + 88339.0i −0.219895 + 0.204033i
\(659\) 38284.5 + 510871.i 0.0881560 + 1.17636i 0.849348 + 0.527833i \(0.176995\pi\)
−0.761192 + 0.648527i \(0.775385\pi\)
\(660\) −12507.3 + 31868.2i −0.0287129 + 0.0731592i
\(661\) −69083.2 + 302673.i −0.158114 + 0.692742i 0.832267 + 0.554375i \(0.187043\pi\)
−0.990381 + 0.138367i \(0.955815\pi\)
\(662\) −542645. + 167384.i −1.23823 + 0.381942i
\(663\) −307831. + 451506.i −0.700303 + 1.02716i
\(664\) 75020.8 + 497730.i 0.170155 + 1.12891i
\(665\) 118947. 46683.1i 0.268973 0.105564i
\(666\) −394610. + 190034.i −0.889651 + 0.428433i
\(667\) −11219.3 23297.2i −0.0252182 0.0523662i
\(668\) 5933.23 + 15117.6i 0.0132965 + 0.0338790i
\(669\) 192600. 29029.7i 0.430332 0.0648621i
\(670\) 603264. + 411299.i 1.34387 + 0.916237i
\(671\) −84358.0 273482.i −0.187362 0.607413i
\(672\) 22984.0 + 5245.96i 0.0508965 + 0.0116168i
\(673\) 252190. + 98977.1i 0.556797 + 0.218527i 0.627018 0.779005i \(-0.284275\pi\)
−0.0702210 + 0.997531i \(0.522370\pi\)
\(674\) −10028.7 + 751.551i −0.0220763 + 0.00165439i
\(675\) −145683. 157009.i −0.319743 0.344601i
\(676\) 6509.70 4438.24i 0.0142452 0.00971219i
\(677\) 13895.9 + 11081.6i 0.0303186 + 0.0241783i 0.638532 0.769595i \(-0.279542\pi\)
−0.608213 + 0.793774i \(0.708113\pi\)
\(678\) −571293. + 615707.i −1.24279 + 1.33941i
\(679\) −34672.5 + 230037.i −0.0752047 + 0.498951i
\(680\) −131512. 576192.i −0.284412 1.24609i
\(681\) 530094. + 918149.i 1.14303 + 1.97979i
\(682\) 426739. + 246378.i 0.917473 + 0.529703i
\(683\) −90830.2 28017.4i −0.194710 0.0600602i 0.195866 0.980631i \(-0.437248\pi\)
−0.390577 + 0.920570i \(0.627724\pi\)
\(684\) −10256.8 + 8179.49i −0.0219229 + 0.0174829i
\(685\) 69381.1 925827.i 0.147863 1.97310i
\(686\) −242302. 116687.i −0.514884 0.247955i
\(687\) 874590.i 1.85307i
\(688\) −55698.4 + 436971.i −0.117670 + 0.923157i
\(689\) −505478. −1.06479
\(690\) −200080. + 415470.i −0.420248 + 0.872654i
\(691\) −6809.92 510.333i −0.0142622 0.00106880i 0.0675971 0.997713i \(-0.478467\pi\)
−0.0818593 + 0.996644i \(0.526086\pi\)
\(692\) −9158.94 11485.0i −0.0191264 0.0239837i
\(693\) 18977.6 61523.8i 0.0395161 0.128108i
\(694\) 263918. 457119.i 0.547961 0.949096i
\(695\) −460168. + 265678.i −0.952680 + 0.550030i
\(696\) −68466.1 + 15626.9i −0.141337 + 0.0322593i
\(697\) −706921. 106551.i −1.45514 0.219327i
\(698\) 61824.2 + 57364.5i 0.126896 + 0.117742i
\(699\) −152351. + 191042.i −0.311810 + 0.390998i
\(700\) 6178.43 + 9062.10i 0.0126090 + 0.0184941i
\(701\) 350070. 324817.i 0.712391 0.661003i −0.238282 0.971196i \(-0.576584\pi\)
0.950673 + 0.310193i \(0.100394\pi\)
\(702\) 17007.3 + 226946.i 0.0345113 + 0.460521i
\(703\) 176057. 448585.i 0.356239 0.907683i
\(704\) −74912.2 + 328212.i −0.151150 + 0.662230i
\(705\) 890568. 274704.i 1.79180 0.552697i
\(706\) 310286. 455106.i 0.622520 0.913069i
\(707\) −19513.5 129464.i −0.0390388 0.259006i
\(708\) 22181.3 8705.53i 0.0442508 0.0173672i
\(709\) 355852. 171369.i 0.707909 0.340911i −0.0450443 0.998985i \(-0.514343\pi\)
0.752953 + 0.658074i \(0.228629\pi\)
\(710\) 317346. + 658975.i 0.629529 + 1.30723i
\(711\) −16316.0 41572.5i −0.0322756 0.0822369i
\(712\) −439858. + 66297.9i −0.867666 + 0.130780i
\(713\) −382067. 260489.i −0.751555 0.512402i
\(714\) 49867.5 + 161667.i 0.0978186 + 0.317120i
\(715\) 523138. + 119403.i 1.02330 + 0.233562i
\(716\) 21720.2 + 8524.56i 0.0423680 + 0.0166282i
\(717\) −296193. + 22196.6i −0.576151 + 0.0431765i
\(718\) 361380. + 389475.i 0.700996 + 0.755494i
\(719\) 311116. 212115.i 0.601817 0.410312i −0.223725 0.974652i \(-0.571822\pi\)
0.825542 + 0.564340i \(0.190869\pi\)
\(720\) 367632. + 293177.i 0.709166 + 0.565541i
\(721\) 156903. 169101.i 0.301828 0.325293i
\(722\) 44241.6 293524.i 0.0848705 0.563079i
\(723\) −73477.3 321925.i −0.140565 0.615854i
\(724\) 18902.9 + 32740.8i 0.0360621 + 0.0624614i
\(725\) −54859.0 31672.8i −0.104369 0.0602575i
\(726\) −369282. 113908.i −0.700624 0.216114i
\(727\) 611090. 487328.i 1.15621 0.922046i 0.158346 0.987384i \(-0.449384\pi\)
0.997863 + 0.0653372i \(0.0208123\pi\)
\(728\) 14242.4 190051.i 0.0268732 0.358598i
\(729\) −129531. 62378.8i −0.243735 0.117377i
\(730\) 1.21518e6i 2.28032i
\(731\) 421393. 176583.i 0.788592 0.330457i
\(732\) 44603.1 0.0832420
\(733\) −350262. + 727326.i −0.651906 + 1.35370i 0.268708 + 0.963222i \(0.413403\pi\)
−0.920614 + 0.390475i \(0.872311\pi\)
\(734\) −946807. 70953.4i −1.75739 0.131699i
\(735\) 571146. + 716194.i 1.05724 + 1.32573i
\(736\) 11084.5 35935.2i 0.0204626 0.0663383i
\(737\) −202388. + 350547.i −0.372606 + 0.645373i
\(738\) 527063. 304300.i 0.967720 0.558714i
\(739\) 59444.9 13567.9i 0.108849 0.0248442i −0.167749 0.985830i \(-0.553650\pi\)
0.276599 + 0.960986i \(0.410793\pi\)
\(740\) 77854.4 + 11734.7i 0.142174 + 0.0214293i
\(741\) 375207. + 348141.i 0.683337 + 0.634044i
\(742\) −97573.1 + 122353.i −0.177224 + 0.222232i
\(743\) 306673. + 449807.i 0.555518 + 0.814796i 0.996576 0.0826831i \(-0.0263489\pi\)
−0.441058 + 0.897479i \(0.645397\pi\)
\(744\) −920618. + 854208.i −1.66316 + 1.54318i
\(745\) 13871.1 + 185097.i 0.0249919 + 0.333494i
\(746\) 103496. 263704.i 0.185972 0.473849i
\(747\) −92429.9 + 404962.i −0.165642 + 0.725726i
\(748\) 19145.1 5905.49i 0.0342181 0.0105549i
\(749\) −129172. + 189461.i −0.230253 + 0.337720i
\(750\) 16253.1 + 107833.i 0.0288945 + 0.191702i
\(751\) 108920. 42747.8i 0.193120 0.0757939i −0.266810 0.963749i \(-0.585970\pi\)
0.459930 + 0.887955i \(0.347874\pi\)
\(752\) 473781. 228161.i 0.837802 0.403464i
\(753\) −480788. 998366.i −0.847937 1.76076i
\(754\) 24590.4 + 62655.3i 0.0432537 + 0.110209i
\(755\) 214968. 32401.2i 0.377121 0.0568418i
\(756\) −4055.86 2765.24i −0.00709642