Properties

Label 38.6.e.b.23.2
Level $38$
Weight $6$
Character 38.23
Analytic conductor $6.095$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 38 = 2 \cdot 19 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 38.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.09458515289\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(5\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 23.2
Character \(\chi\) \(=\) 38.23
Dual form 38.6.e.b.5.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.75877 - 1.36808i) q^{2} +(-1.36581 - 7.74591i) q^{3} +(12.2567 + 10.2846i) q^{4} +(-39.1860 + 32.8809i) q^{5} +(-5.46326 + 30.9837i) q^{6} +(-9.18601 + 15.9106i) q^{7} +(-32.0000 - 55.4256i) q^{8} +(170.212 - 61.9519i) q^{9} +O(q^{10})\) \(q+(-3.75877 - 1.36808i) q^{2} +(-1.36581 - 7.74591i) q^{3} +(12.2567 + 10.2846i) q^{4} +(-39.1860 + 32.8809i) q^{5} +(-5.46326 + 30.9837i) q^{6} +(-9.18601 + 15.9106i) q^{7} +(-32.0000 - 55.4256i) q^{8} +(170.212 - 61.9519i) q^{9} +(192.275 - 69.9823i) q^{10} +(375.072 + 649.643i) q^{11} +(62.9233 - 108.986i) q^{12} +(-90.9619 + 515.871i) q^{13} +(56.2951 - 47.2372i) q^{14} +(308.214 + 258.622i) q^{15} +(44.4539 + 252.111i) q^{16} +(1764.94 + 642.386i) q^{17} -724.541 q^{18} +(-1488.16 - 511.338i) q^{19} -818.458 q^{20} +(135.789 + 49.4231i) q^{21} +(-521.044 - 2954.99i) q^{22} +(-374.217 - 314.005i) q^{23} +(-385.616 + 323.570i) q^{24} +(-88.2663 + 500.583i) q^{25} +(1047.66 - 1814.60i) q^{26} +(-1668.00 - 2889.06i) q^{27} +(-276.225 + 100.538i) q^{28} +(-1228.35 + 447.083i) q^{29} +(-804.688 - 1393.76i) q^{30} +(-3275.09 + 5672.62i) q^{31} +(177.816 - 1008.44i) q^{32} +(4519.80 - 3792.56i) q^{33} +(-5755.17 - 4829.17i) q^{34} +(-163.194 - 925.518i) q^{35} +(2723.38 + 991.231i) q^{36} -8297.48 q^{37} +(4894.12 + 3957.93i) q^{38} +4120.13 q^{39} +(3076.40 + 1119.72i) q^{40} +(1497.47 + 8492.59i) q^{41} +(-442.784 - 371.540i) q^{42} +(10710.7 - 8987.33i) q^{43} +(-2084.18 + 11819.9i) q^{44} +(-4632.87 + 8024.36i) q^{45} +(977.010 + 1692.23i) q^{46} +(15515.2 - 5647.07i) q^{47} +(1892.11 - 688.673i) q^{48} +(8234.73 + 14263.0i) q^{49} +(1016.61 - 1760.82i) q^{50} +(2565.29 - 14548.5i) q^{51} +(-6420.42 + 5387.37i) q^{52} +(-6629.99 - 5563.22i) q^{53} +(2317.16 + 13141.3i) q^{54} +(-36058.4 - 13124.2i) q^{55} +1175.81 q^{56} +(-1928.22 + 12225.6i) q^{57} +5228.73 q^{58} +(15260.6 + 5554.40i) q^{59} +(1117.86 + 6339.71i) q^{60} +(683.426 + 573.462i) q^{61} +(20070.9 - 16841.5i) q^{62} +(-577.870 + 3277.26i) q^{63} +(-2048.00 + 3547.24i) q^{64} +(-13397.9 - 23205.8i) q^{65} +(-22177.4 + 8071.92i) q^{66} +(-16715.7 + 6084.02i) q^{67} +(15025.7 + 26025.3i) q^{68} +(-1921.15 + 3327.52i) q^{69} +(-652.775 + 3702.07i) q^{70} +(36445.9 - 30581.7i) q^{71} +(-8880.49 - 7451.62i) q^{72} +(-3673.83 - 20835.3i) q^{73} +(31188.3 + 11351.6i) q^{74} +3998.03 q^{75} +(-12981.1 - 21572.5i) q^{76} -13781.6 q^{77} +(-15486.6 - 5636.66i) q^{78} +(-14794.0 - 83900.8i) q^{79} +(-10031.6 - 8417.52i) q^{80} +(13617.9 - 11426.8i) q^{81} +(5989.89 - 33970.4i) q^{82} +(-22362.8 + 38733.5i) q^{83} +(1156.03 + 2002.30i) q^{84} +(-90283.2 + 32860.4i) q^{85} +(-52554.4 + 19128.2i) q^{86} +(5140.76 + 8904.07i) q^{87} +(24004.6 - 41577.1i) q^{88} +(-15572.0 + 88313.0i) q^{89} +(28391.9 - 23823.6i) q^{90} +(-7372.25 - 6186.05i) q^{91} +(-1357.25 - 7697.34i) q^{92} +(48412.8 + 17620.8i) q^{93} -66043.7 q^{94} +(75128.4 - 28895.0i) q^{95} -8054.18 q^{96} +(55159.8 + 20076.5i) q^{97} +(-11439.6 - 64877.0i) q^{98} +(104088. + 87340.3i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q + 15q^{3} + 60q^{6} - 84q^{7} - 960q^{8} - 345q^{9} + O(q^{10}) \) \( 30q + 15q^{3} + 60q^{6} - 84q^{7} - 960q^{8} - 345q^{9} - 126q^{11} - 2610q^{13} - 864q^{14} - 5160q^{15} + 1902q^{17} + 17016q^{18} - 2400q^{19} + 3456q^{20} - 6426q^{21} + 216q^{22} - 3306q^{23} + 960q^{24} - 18060q^{25} + 456q^{26} + 13017q^{27} + 6048q^{28} + 5988q^{29} - 6840q^{31} + 51867q^{33} - 10752q^{34} + 24408q^{35} - 5520q^{36} - 8556q^{37} + 2772q^{38} + 9912q^{39} - 40527q^{41} + 27432q^{42} + 3678q^{43} + 864q^{44} - 31770q^{45} - 15744q^{46} - 133740q^{47} - 7680q^{48} - 63777q^{49} - 107580q^{50} + 45657q^{51} + 5760q^{52} - 64626q^{53} + 1476q^{54} + 142056q^{55} + 10752q^{56} + 232824q^{57} + 117264q^{58} + 169041q^{59} - 56640q^{60} + 61698q^{61} - 101616q^{62} - 188064q^{63} - 61440q^{64} - 80646q^{65} - 173772q^{66} - 72129q^{67} - 65904q^{68} - 124224q^{69} + 97632q^{70} + 417828q^{71} + 44160q^{72} + 239082q^{73} - 116112q^{74} - 174960q^{75} + 6912q^{76} + 242436q^{77} + 336624q^{78} - 145740q^{79} + 14781q^{81} - 162108q^{82} - 201630q^{83} - 54528q^{84} - 46512q^{85} - 75720q^{86} - 376512q^{87} - 8064q^{88} + 416928q^{89} + 560640q^{90} - 380316q^{91} + 269376q^{92} - 205146q^{93} + 5616q^{94} + 708168q^{95} + 858363q^{97} + 308328q^{98} - 1068531q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).

\(n\) \(21\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.75877 1.36808i −0.664463 0.241845i
\(3\) −1.36581 7.74591i −0.0876170 0.496901i −0.996761 0.0804191i \(-0.974374\pi\)
0.909144 0.416482i \(-0.136737\pi\)
\(4\) 12.2567 + 10.2846i 0.383022 + 0.321394i
\(5\) −39.1860 + 32.8809i −0.700980 + 0.588192i −0.922052 0.387066i \(-0.873489\pi\)
0.221072 + 0.975257i \(0.429044\pi\)
\(6\) −5.46326 + 30.9837i −0.0619546 + 0.351362i
\(7\) −9.18601 + 15.9106i −0.0708568 + 0.122728i −0.899277 0.437379i \(-0.855907\pi\)
0.828420 + 0.560107i \(0.189240\pi\)
\(8\) −32.0000 55.4256i −0.176777 0.306186i
\(9\) 170.212 61.9519i 0.700459 0.254946i
\(10\) 192.275 69.9823i 0.608026 0.221303i
\(11\) 375.072 + 649.643i 0.934614 + 1.61880i 0.775321 + 0.631568i \(0.217588\pi\)
0.159294 + 0.987231i \(0.449078\pi\)
\(12\) 62.9233 108.986i 0.126142 0.218484i
\(13\) −90.9619 + 515.871i −0.149280 + 0.846608i 0.814551 + 0.580092i \(0.196984\pi\)
−0.963831 + 0.266516i \(0.914128\pi\)
\(14\) 56.2951 47.2372i 0.0767628 0.0644116i
\(15\) 308.214 + 258.622i 0.353691 + 0.296782i
\(16\) 44.4539 + 252.111i 0.0434120 + 0.246202i
\(17\) 1764.94 + 642.386i 1.48118 + 0.539106i 0.951111 0.308848i \(-0.0999436\pi\)
0.530070 + 0.847954i \(0.322166\pi\)
\(18\) −724.541 −0.527087
\(19\) −1488.16 511.338i −0.945729 0.324955i
\(20\) −818.458 −0.457532
\(21\) 135.789 + 49.4231i 0.0671917 + 0.0244558i
\(22\) −521.044 2954.99i −0.229518 1.30166i
\(23\) −374.217 314.005i −0.147504 0.123770i 0.566050 0.824371i \(-0.308471\pi\)
−0.713554 + 0.700601i \(0.752915\pi\)
\(24\) −385.616 + 323.570i −0.136655 + 0.114668i
\(25\) −88.2663 + 500.583i −0.0282452 + 0.160187i
\(26\) 1047.66 1814.60i 0.303939 0.526437i
\(27\) −1668.00 2889.06i −0.440338 0.762688i
\(28\) −276.225 + 100.538i −0.0665836 + 0.0242345i
\(29\) −1228.35 + 447.083i −0.271223 + 0.0987173i −0.474052 0.880497i \(-0.657209\pi\)
0.202828 + 0.979214i \(0.434987\pi\)
\(30\) −804.688 1393.76i −0.163239 0.282739i
\(31\) −3275.09 + 5672.62i −0.612095 + 1.06018i 0.378792 + 0.925482i \(0.376340\pi\)
−0.990887 + 0.134698i \(0.956994\pi\)
\(32\) 177.816 1008.44i 0.0306970 0.174091i
\(33\) 4519.80 3792.56i 0.722494 0.606245i
\(34\) −5755.17 4829.17i −0.853810 0.716432i
\(35\) −163.194 925.518i −0.0225182 0.127707i
\(36\) 2723.38 + 991.231i 0.350230 + 0.127473i
\(37\) −8297.48 −0.996419 −0.498209 0.867057i \(-0.666009\pi\)
−0.498209 + 0.867057i \(0.666009\pi\)
\(38\) 4894.12 + 3957.93i 0.549813 + 0.444641i
\(39\) 4120.13 0.433759
\(40\) 3076.40 + 1119.72i 0.304013 + 0.110652i
\(41\) 1497.47 + 8492.59i 0.139123 + 0.789007i 0.971899 + 0.235397i \(0.0756390\pi\)
−0.832776 + 0.553610i \(0.813250\pi\)
\(42\) −442.784 371.540i −0.0387319 0.0324999i
\(43\) 10710.7 8987.33i 0.883377 0.741241i −0.0834935 0.996508i \(-0.526608\pi\)
0.966871 + 0.255267i \(0.0821633\pi\)
\(44\) −2084.18 + 11819.9i −0.162294 + 0.920415i
\(45\) −4632.87 + 8024.36i −0.341050 + 0.590716i
\(46\) 977.010 + 1692.23i 0.0680776 + 0.117914i
\(47\) 15515.2 5647.07i 1.02450 0.372888i 0.225517 0.974239i \(-0.427593\pi\)
0.798985 + 0.601351i \(0.205371\pi\)
\(48\) 1892.11 688.673i 0.118534 0.0431429i
\(49\) 8234.73 + 14263.0i 0.489959 + 0.848633i
\(50\) 1016.61 1760.82i 0.0575082 0.0996071i
\(51\) 2565.29 14548.5i 0.138105 0.783235i
\(52\) −6420.42 + 5387.37i −0.329272 + 0.276292i
\(53\) −6629.99 5563.22i −0.324207 0.272042i 0.466127 0.884718i \(-0.345649\pi\)
−0.790335 + 0.612675i \(0.790093\pi\)
\(54\) 2317.16 + 13141.3i 0.108136 + 0.613272i
\(55\) −36058.4 13124.2i −1.60731 0.585013i
\(56\) 1175.81 0.0501033
\(57\) −1928.22 + 12225.6i −0.0786086 + 0.498405i
\(58\) 5228.73 0.204092
\(59\) 15260.6 + 5554.40i 0.570743 + 0.207734i 0.611239 0.791446i \(-0.290671\pi\)
−0.0404956 + 0.999180i \(0.512894\pi\)
\(60\) 1117.86 + 6339.71i 0.0400876 + 0.227348i
\(61\) 683.426 + 573.462i 0.0235162 + 0.0197324i 0.654470 0.756088i \(-0.272892\pi\)
−0.630954 + 0.775820i \(0.717336\pi\)
\(62\) 20070.9 16841.5i 0.663113 0.556418i
\(63\) −577.870 + 3277.26i −0.0183434 + 0.104030i
\(64\) −2048.00 + 3547.24i −0.0625000 + 0.108253i
\(65\) −13397.9 23205.8i −0.393326 0.681260i
\(66\) −22177.4 + 8071.92i −0.626688 + 0.228096i
\(67\) −16715.7 + 6084.02i −0.454923 + 0.165579i −0.559311 0.828958i \(-0.688934\pi\)
0.104387 + 0.994537i \(0.466712\pi\)
\(68\) 15025.7 + 26025.3i 0.394060 + 0.682532i
\(69\) −1921.15 + 3327.52i −0.0485778 + 0.0841392i
\(70\) −652.775 + 3702.07i −0.0159228 + 0.0903025i
\(71\) 36445.9 30581.7i 0.858030 0.719973i −0.103513 0.994628i \(-0.533008\pi\)
0.961543 + 0.274656i \(0.0885638\pi\)
\(72\) −8880.49 7451.62i −0.201886 0.169402i
\(73\) −3673.83 20835.3i −0.0806886 0.457608i −0.998204 0.0599074i \(-0.980919\pi\)
0.917515 0.397700i \(-0.130192\pi\)
\(74\) 31188.3 + 11351.6i 0.662083 + 0.240979i
\(75\) 3998.03 0.0820716
\(76\) −12981.1 21572.5i −0.257797 0.428417i
\(77\) −13781.6 −0.264895
\(78\) −15486.6 5636.66i −0.288217 0.104902i
\(79\) −14794.0 83900.8i −0.266696 1.51251i −0.764161 0.645026i \(-0.776847\pi\)
0.497464 0.867484i \(-0.334264\pi\)
\(80\) −10031.6 8417.52i −0.175245 0.147048i
\(81\) 13617.9 11426.8i 0.230620 0.193513i
\(82\) 5989.89 33970.4i 0.0983749 0.557912i
\(83\) −22362.8 + 38733.5i −0.356312 + 0.617150i −0.987342 0.158608i \(-0.949299\pi\)
0.631030 + 0.775759i \(0.282633\pi\)
\(84\) 1156.03 + 2002.30i 0.0178760 + 0.0309621i
\(85\) −90283.2 + 32860.4i −1.35538 + 0.493316i
\(86\) −52554.4 + 19128.2i −0.766237 + 0.278887i
\(87\) 5140.76 + 8904.07i 0.0728165 + 0.126122i
\(88\) 24004.6 41577.1i 0.330436 0.572332i
\(89\) −15572.0 + 88313.0i −0.208386 + 1.18182i 0.683636 + 0.729823i \(0.260398\pi\)
−0.892022 + 0.451993i \(0.850713\pi\)
\(90\) 28391.9 23823.6i 0.369477 0.310028i
\(91\) −7372.25 6186.05i −0.0933247 0.0783087i
\(92\) −1357.25 7697.34i −0.0167182 0.0948137i
\(93\) 48412.8 + 17620.8i 0.580434 + 0.211261i
\(94\) −66043.7 −0.770924
\(95\) 75128.4 28895.0i 0.854073 0.328483i
\(96\) −8054.18 −0.0891955
\(97\) 55159.8 + 20076.5i 0.595241 + 0.216650i 0.622033 0.782991i \(-0.286307\pi\)
−0.0267918 + 0.999641i \(0.508529\pi\)
\(98\) −11439.6 64877.0i −0.120322 0.682379i
\(99\) 104088. + 87340.3i 1.06737 + 0.895626i
\(100\) −6230.15 + 5227.72i −0.0623015 + 0.0522772i
\(101\) −27572.9 + 156374.i −0.268955 + 1.52532i 0.488578 + 0.872520i \(0.337516\pi\)
−0.757532 + 0.652797i \(0.773595\pi\)
\(102\) −29545.8 + 51174.8i −0.281187 + 0.487030i
\(103\) −61427.5 106395.i −0.570518 0.988167i −0.996513 0.0834409i \(-0.973409\pi\)
0.425994 0.904726i \(-0.359924\pi\)
\(104\) 31503.2 11466.2i 0.285609 0.103953i
\(105\) −6946.09 + 2528.17i −0.0614847 + 0.0223786i
\(106\) 17309.7 + 29981.2i 0.149632 + 0.259170i
\(107\) 31378.7 54349.4i 0.264957 0.458918i −0.702596 0.711589i \(-0.747976\pi\)
0.967552 + 0.252671i \(0.0813090\pi\)
\(108\) 9268.64 52565.1i 0.0764639 0.433648i
\(109\) −4623.87 + 3879.88i −0.0372768 + 0.0312790i −0.661236 0.750178i \(-0.729968\pi\)
0.623959 + 0.781457i \(0.285523\pi\)
\(110\) 117580. + 98661.6i 0.926516 + 0.777439i
\(111\) 11332.8 + 64271.6i 0.0873032 + 0.495121i
\(112\) −4419.59 1608.60i −0.0332918 0.0121172i
\(113\) 267983. 1.97429 0.987147 0.159814i \(-0.0510895\pi\)
0.987147 + 0.159814i \(0.0510895\pi\)
\(114\) 23973.3 43315.2i 0.172769 0.312161i
\(115\) 24988.8 0.176198
\(116\) −19653.6 7153.33i −0.135612 0.0493586i
\(117\) 16476.4 + 93442.4i 0.111275 + 0.631073i
\(118\) −49762.1 41755.4i −0.328999 0.276063i
\(119\) −26433.5 + 22180.4i −0.171115 + 0.143582i
\(120\) 4471.45 25358.8i 0.0283462 0.160759i
\(121\) −200832. + 347851.i −1.24701 + 2.15988i
\(122\) −1784.30 3090.50i −0.0108535 0.0187987i
\(123\) 63737.6 23198.6i 0.379868 0.138261i
\(124\) −98482.5 + 35844.7i −0.575181 + 0.209349i
\(125\) −92928.4 160957.i −0.531953 0.921370i
\(126\) 6655.64 11527.9i 0.0373477 0.0646881i
\(127\) 40540.2 229915.i 0.223037 1.26491i −0.643365 0.765559i \(-0.722462\pi\)
0.866402 0.499347i \(-0.166427\pi\)
\(128\) 12550.9 10531.4i 0.0677094 0.0568149i
\(129\) −84243.9 70689.0i −0.445722 0.374005i
\(130\) 18612.1 + 105555.i 0.0965912 + 0.547796i
\(131\) −198060. 72088.0i −1.00837 0.367016i −0.215562 0.976490i \(-0.569158\pi\)
−0.792806 + 0.609475i \(0.791380\pi\)
\(132\) 94402.9 0.471575
\(133\) 21806.0 18980.5i 0.106892 0.0930418i
\(134\) 71154.0 0.342324
\(135\) 160357. + 58365.2i 0.757275 + 0.275626i
\(136\) −20873.5 118379.i −0.0967715 0.548818i
\(137\) −311356. 261259.i −1.41728 1.18924i −0.952777 0.303670i \(-0.901788\pi\)
−0.464505 0.885571i \(-0.653768\pi\)
\(138\) 11773.5 9879.11i 0.0526267 0.0441591i
\(139\) 26275.7 149017.i 0.115350 0.654181i −0.871227 0.490881i \(-0.836675\pi\)
0.986576 0.163300i \(-0.0522139\pi\)
\(140\) 7518.36 13022.2i 0.0324193 0.0561518i
\(141\) −64932.6 112467.i −0.275052 0.476404i
\(142\) −178830. + 65088.8i −0.744251 + 0.270885i
\(143\) −369249. + 134396.i −1.51001 + 0.549598i
\(144\) 23185.3 + 40158.2i 0.0931766 + 0.161387i
\(145\) 33433.6 57908.7i 0.132057 0.228730i
\(146\) −14695.3 + 83341.4i −0.0570555 + 0.323578i
\(147\) 99232.7 83266.1i 0.378758 0.317815i
\(148\) −101700. 85336.3i −0.381651 0.320243i
\(149\) −2032.46 11526.6i −0.00749990 0.0425340i 0.980828 0.194875i \(-0.0624300\pi\)
−0.988328 + 0.152341i \(0.951319\pi\)
\(150\) −15027.7 5469.63i −0.0545335 0.0198486i
\(151\) 3916.30 0.0139776 0.00698882 0.999976i \(-0.497775\pi\)
0.00698882 + 0.999976i \(0.497775\pi\)
\(152\) 19280.0 + 98845.2i 0.0676860 + 0.347014i
\(153\) 340211. 1.17495
\(154\) 51802.0 + 18854.4i 0.176013 + 0.0640635i
\(155\) −58183.5 329975.i −0.194523 1.10319i
\(156\) 50499.2 + 42373.9i 0.166140 + 0.139408i
\(157\) 155881. 130800.i 0.504712 0.423504i −0.354552 0.935036i \(-0.615367\pi\)
0.859264 + 0.511533i \(0.170922\pi\)
\(158\) −59175.9 + 335603.i −0.188583 + 1.06951i
\(159\) −34036.9 + 58953.6i −0.106772 + 0.184934i
\(160\) 26190.7 + 45363.6i 0.0808810 + 0.140090i
\(161\) 8433.57 3069.57i 0.0256417 0.00933282i
\(162\) −66819.3 + 24320.2i −0.200039 + 0.0728082i
\(163\) −31455.9 54483.2i −0.0927327 0.160618i 0.815927 0.578154i \(-0.196227\pi\)
−0.908660 + 0.417537i \(0.862894\pi\)
\(164\) −68988.8 + 119492.i −0.200295 + 0.346920i
\(165\) −52409.7 + 297230.i −0.149866 + 0.849931i
\(166\) 137047. 114996.i 0.386011 0.323901i
\(167\) 131396. + 110255.i 0.364579 + 0.305918i 0.806613 0.591080i \(-0.201298\pi\)
−0.442034 + 0.896998i \(0.645743\pi\)
\(168\) −1605.94 9107.71i −0.00438990 0.0248964i
\(169\) 91053.0 + 33140.6i 0.245232 + 0.0892572i
\(170\) 384309. 1.01990
\(171\) −284981. + 5159.07i −0.745291 + 0.0134922i
\(172\) 223709. 0.576583
\(173\) 506034. + 184181.i 1.28548 + 0.467875i 0.892240 0.451562i \(-0.149133\pi\)
0.393237 + 0.919437i \(0.371355\pi\)
\(174\) −7141.48 40501.3i −0.0178819 0.101414i
\(175\) −7153.78 6002.73i −0.0176580 0.0148168i
\(176\) −147109. + 123439.i −0.357978 + 0.300379i
\(177\) 22180.8 125793.i 0.0532161 0.301804i
\(178\) 179351. 310645.i 0.424281 0.734876i
\(179\) 84683.7 + 146676.i 0.197545 + 0.342159i 0.947732 0.319067i \(-0.103370\pi\)
−0.750187 + 0.661226i \(0.770036\pi\)
\(180\) −139311. + 50705.1i −0.320482 + 0.116646i
\(181\) −640634. + 233172.i −1.45350 + 0.529029i −0.943565 0.331187i \(-0.892551\pi\)
−0.509930 + 0.860216i \(0.670329\pi\)
\(182\) 19247.6 + 33337.8i 0.0430722 + 0.0746033i
\(183\) 3508.56 6077.00i 0.00774464 0.0134141i
\(184\) −5428.99 + 30789.3i −0.0118216 + 0.0670434i
\(185\) 325145. 272829.i 0.698469 0.586085i
\(186\) −157866. 132465.i −0.334585 0.280750i
\(187\) 244658. + 1.38752e6i 0.511629 + 2.90159i
\(188\) 248243. + 90353.1i 0.512251 + 0.186444i
\(189\) 61289.0 0.124804
\(190\) −321921. + 5827.80i −0.646942 + 0.0117117i
\(191\) −322297. −0.639254 −0.319627 0.947544i \(-0.603558\pi\)
−0.319627 + 0.947544i \(0.603558\pi\)
\(192\) 30273.8 + 11018.8i 0.0592671 + 0.0215715i
\(193\) −46858.0 265745.i −0.0905505 0.513537i −0.996020 0.0891266i \(-0.971592\pi\)
0.905470 0.424411i \(-0.139519\pi\)
\(194\) −179867. 150926.i −0.343120 0.287912i
\(195\) −161451. + 135474.i −0.304057 + 0.255134i
\(196\) −45758.3 + 259508.i −0.0850804 + 0.482515i
\(197\) 82745.2 143319.i 0.151907 0.263110i −0.780022 0.625753i \(-0.784792\pi\)
0.931928 + 0.362642i \(0.118125\pi\)
\(198\) −271755. 470693.i −0.492623 0.853247i
\(199\) 625906. 227811.i 1.12041 0.407795i 0.285607 0.958347i \(-0.407805\pi\)
0.834801 + 0.550551i \(0.185583\pi\)
\(200\) 30569.7 11126.4i 0.0540400 0.0196690i
\(201\) 69956.9 + 121169.i 0.122135 + 0.211544i
\(202\) 317572. 550051.i 0.547601 0.948472i
\(203\) 4170.26 23650.7i 0.00710270 0.0402814i
\(204\) 181067. 151933.i 0.304624 0.255610i
\(205\) −337924. 283552.i −0.561610 0.471247i
\(206\) 85334.1 + 483954.i 0.140105 + 0.794577i
\(207\) −83149.2 30263.8i −0.134875 0.0490906i
\(208\) −134100. −0.214917
\(209\) −225981. 1.15856e6i −0.357854 1.83465i
\(210\) 29567.5 0.0462665
\(211\) 781834. + 284564.i 1.20895 + 0.440022i 0.866339 0.499456i \(-0.166467\pi\)
0.342611 + 0.939477i \(0.388689\pi\)
\(212\) −24046.3 136374.i −0.0367459 0.208396i
\(213\) −286662. 240538.i −0.432933 0.363274i
\(214\) −192300. + 161358.i −0.287041 + 0.240856i
\(215\) −124197. + 704354.i −0.183237 + 1.03919i
\(216\) −106752. + 184900.i −0.155683 + 0.269651i
\(217\) −60170.0 104217.i −0.0867422 0.150242i
\(218\) 22688.0 8257.77i 0.0323337 0.0117685i
\(219\) −156371. + 56914.4i −0.220316 + 0.0801884i
\(220\) −306980. 531706.i −0.427616 0.740653i
\(221\) −491931. + 852049.i −0.677522 + 1.17350i
\(222\) 45331.3 257086.i 0.0617327 0.350104i
\(223\) −62790.9 + 52687.8i −0.0845541 + 0.0709493i −0.684085 0.729402i \(-0.739798\pi\)
0.599531 + 0.800352i \(0.295354\pi\)
\(224\) 14411.5 + 12092.7i 0.0191907 + 0.0161029i
\(225\) 15988.2 + 90673.3i 0.0210544 + 0.119405i
\(226\) −1.00729e6 366623.i −1.31185 0.477473i
\(227\) 71388.9 0.0919530 0.0459765 0.998943i \(-0.485360\pi\)
0.0459765 + 0.998943i \(0.485360\pi\)
\(228\) −149369. + 130014.i −0.190293 + 0.165636i
\(229\) 1.56620e6 1.97360 0.986800 0.161944i \(-0.0517763\pi\)
0.986800 + 0.161944i \(0.0517763\pi\)
\(230\) −93927.2 34186.7i −0.117077 0.0426126i
\(231\) 18823.1 + 106751.i 0.0232093 + 0.131627i
\(232\) 64087.1 + 53775.4i 0.0781719 + 0.0655940i
\(233\) 373934. 313768.i 0.451238 0.378633i −0.388657 0.921382i \(-0.627061\pi\)
0.839895 + 0.542749i \(0.182617\pi\)
\(234\) 65905.7 373770.i 0.0786834 0.446236i
\(235\) −422297. + 731440.i −0.498825 + 0.863990i
\(236\) 129920. + 225028.i 0.151843 + 0.263000i
\(237\) −629683. + 229186.i −0.728200 + 0.265043i
\(238\) 129702. 47207.7i 0.148424 0.0540220i
\(239\) −775816. 1.34375e6i −0.878545 1.52168i −0.852938 0.522012i \(-0.825182\pi\)
−0.0256064 0.999672i \(-0.508152\pi\)
\(240\) −51500.1 + 89200.7i −0.0577138 + 0.0999632i
\(241\) −107135. + 607590.i −0.118819 + 0.673858i 0.865969 + 0.500098i \(0.166703\pi\)
−0.984788 + 0.173760i \(0.944408\pi\)
\(242\) 1.23077e6 1.03274e6i 1.35095 1.13358i
\(243\) −728102. 610950.i −0.791000 0.663728i
\(244\) 2478.72 + 14057.5i 0.00266534 + 0.0151159i
\(245\) −791666. 288143.i −0.842610 0.306685i
\(246\) −271313. −0.285846
\(247\) 399150. 721188.i 0.416288 0.752153i
\(248\) 419211. 0.432817
\(249\) 330569. + 120317.i 0.337881 + 0.122979i
\(250\) 129095. + 732133.i 0.130635 + 0.740866i
\(251\) −378208. 317354.i −0.378919 0.317951i 0.433359 0.901221i \(-0.357328\pi\)
−0.812278 + 0.583271i \(0.801773\pi\)
\(252\) −40788.1 + 34225.3i −0.0404606 + 0.0339505i
\(253\) 63633.1 360881.i 0.0625003 0.354457i
\(254\) −466924. + 808736.i −0.454111 + 0.786543i
\(255\) 377844. + 654445.i 0.363883 + 0.630264i
\(256\) −61583.7 + 22414.6i −0.0587308 + 0.0213763i
\(257\) 1.03692e6 377407.i 0.979290 0.356433i 0.197726 0.980257i \(-0.436644\pi\)
0.781564 + 0.623825i \(0.214422\pi\)
\(258\) 219945. + 380956.i 0.205715 + 0.356308i
\(259\) 76220.7 132018.i 0.0706031 0.122288i
\(260\) 74448.5 422218.i 0.0683003 0.387350i
\(261\) −181382. + 152197.i −0.164813 + 0.138295i
\(262\) 645840. + 541924.i 0.581262 + 0.487737i
\(263\) 313531. + 1.77812e6i 0.279506 + 1.58516i 0.724274 + 0.689512i \(0.242175\pi\)
−0.444768 + 0.895646i \(0.646714\pi\)
\(264\) −354839. 129151.i −0.313344 0.114048i
\(265\) 442726. 0.387276
\(266\) −107931. + 41510.9i −0.0935277 + 0.0359715i
\(267\) 705334. 0.605503
\(268\) −267452. 97344.4i −0.227462 0.0827893i
\(269\) −320527. 1.81780e6i −0.270074 1.53167i −0.754185 0.656662i \(-0.771968\pi\)
0.484111 0.875007i \(-0.339143\pi\)
\(270\) −522897. 438763.i −0.436523 0.366286i
\(271\) −744545. + 624748.i −0.615840 + 0.516751i −0.896493 0.443058i \(-0.853893\pi\)
0.280653 + 0.959809i \(0.409449\pi\)
\(272\) −83493.9 + 473517.i −0.0684278 + 0.388073i
\(273\) −37847.5 + 65553.8i −0.0307348 + 0.0532343i
\(274\) 812894. + 1.40797e6i 0.654120 + 1.13297i
\(275\) −358306. + 130413.i −0.285708 + 0.103989i
\(276\) −57769.2 + 21026.3i −0.0456482 + 0.0166146i
\(277\) 93286.0 + 161576.i 0.0730494 + 0.126525i 0.900236 0.435401i \(-0.143394\pi\)
−0.827187 + 0.561927i \(0.810060\pi\)
\(278\) −302631. + 524173.i −0.234856 + 0.406782i
\(279\) −206028. + 1.16844e6i −0.158459 + 0.898664i
\(280\) −46075.2 + 38661.7i −0.0351214 + 0.0294704i
\(281\) −795765. 667727.i −0.601200 0.504467i 0.290631 0.956835i \(-0.406135\pi\)
−0.891831 + 0.452368i \(0.850579\pi\)
\(282\) 90203.4 + 511569.i 0.0675461 + 0.383073i
\(283\) 180954. + 65861.8i 0.134308 + 0.0488841i 0.408300 0.912848i \(-0.366122\pi\)
−0.273992 + 0.961732i \(0.588344\pi\)
\(284\) 761227. 0.560039
\(285\) −326429. 542473.i −0.238055 0.395609i
\(286\) 1.57179e6 1.13626
\(287\) −148878. 54187.3i −0.106691 0.0388322i
\(288\) −32208.7 182665.i −0.0228819 0.129770i
\(289\) 1.61469e6 + 1.35488e6i 1.13722 + 0.954238i
\(290\) −204893. + 171926.i −0.143065 + 0.120045i
\(291\) 80173.0 454684.i 0.0555003 0.314758i
\(292\) 169254. 293157.i 0.116167 0.201207i
\(293\) 79585.0 + 137845.i 0.0541579 + 0.0938043i 0.891833 0.452364i \(-0.149419\pi\)
−0.837675 + 0.546168i \(0.816086\pi\)
\(294\) −486908. + 177220.i −0.328533 + 0.119576i
\(295\) −780634. + 284128.i −0.522267 + 0.190090i
\(296\) 265519. + 459893.i 0.176144 + 0.305090i
\(297\) 1.25124e6 2.16721e6i 0.823093 1.42564i
\(298\) −8129.82 + 46106.5i −0.00530323 + 0.0300761i
\(299\) 196025. 164485.i 0.126804 0.106402i
\(300\) 49002.7 + 41118.1i 0.0314352 + 0.0263773i
\(301\) 44605.7 + 252971.i 0.0283775 + 0.160937i
\(302\) −14720.5 5357.82i −0.00928762 0.00338042i
\(303\) 1.24892e6 0.781496
\(304\) 62759.0 397913.i 0.0389486 0.246947i
\(305\) −45636.7 −0.0280908
\(306\) −1.27877e6 465435.i −0.780711 0.284155i
\(307\) −162138. 919531.i −0.0981836 0.556827i −0.993725 0.111849i \(-0.964323\pi\)
0.895542 0.444978i \(-0.146788\pi\)
\(308\) −168918. 141739.i −0.101461 0.0851356i
\(309\) −740232. + 621128.i −0.441034 + 0.370071i
\(310\) −232734. + 1.31990e6i −0.137548 + 0.780076i
\(311\) −49882.6 + 86399.2i −0.0292448 + 0.0506534i −0.880277 0.474459i \(-0.842644\pi\)
0.851033 + 0.525113i \(0.175977\pi\)
\(312\) −131844. 228361.i −0.0766786 0.132811i
\(313\) 1.87540e6 682591.i 1.08202 0.393822i 0.261358 0.965242i \(-0.415830\pi\)
0.820658 + 0.571420i \(0.193607\pi\)
\(314\) −764865. + 278388.i −0.437785 + 0.159341i
\(315\) −85115.1 147424.i −0.0483315 0.0837126i
\(316\) 681561. 1.18050e6i 0.383961 0.665040i
\(317\) −499665. + 2.83374e6i −0.279274 + 1.58384i 0.445775 + 0.895145i \(0.352928\pi\)
−0.725049 + 0.688697i \(0.758183\pi\)
\(318\) 208590. 175028.i 0.115671 0.0970598i
\(319\) −751164. 630301.i −0.413293 0.346794i
\(320\) −36383.7 206342.i −0.0198624 0.112645i
\(321\) −463843. 168825.i −0.251252 0.0914481i
\(322\) −35899.3 −0.0192951
\(323\) −2.29805e6 1.85846e6i −1.22561 0.991166i
\(324\) 284431. 0.150527
\(325\) −250207. 91068.0i −0.131399 0.0478253i
\(326\) 43698.1 + 247824.i 0.0227729 + 0.129151i
\(327\) 36368.6 + 30516.9i 0.0188086 + 0.0157823i
\(328\) 422788. 354761.i 0.216989 0.182076i
\(329\) −52674.2 + 298730.i −0.0268292 + 0.152156i
\(330\) 603631. 1.04552e6i 0.305131 0.528503i
\(331\) −593107. 1.02729e6i −0.297552 0.515375i 0.678023 0.735040i \(-0.262837\pi\)
−0.975575 + 0.219665i \(0.929503\pi\)
\(332\) −672452. + 244753.i −0.334824 + 0.121866i
\(333\) −1.41233e6 + 514045.i −0.697951 + 0.254033i
\(334\) −343051. 594182.i −0.168265 0.291443i
\(335\) 454973. 788037.i 0.221500 0.383649i
\(336\) −6423.74 + 36430.9i −0.00310413 + 0.0176044i
\(337\) 1.81542e6 1.52332e6i 0.870767 0.730661i −0.0934921 0.995620i \(-0.529803\pi\)
0.964260 + 0.264959i \(0.0853586\pi\)
\(338\) −296908. 249136.i −0.141361 0.118616i
\(339\) −366015. 2.07578e6i −0.172982 0.981028i
\(340\) −1.44453e6 525766.i −0.677688 0.246658i
\(341\) −4.91357e6 −2.28829
\(342\) 1.07824e6 + 370485.i 0.498481 + 0.171280i
\(343\) −611356. −0.280581
\(344\) −840870. 306052.i −0.383118 0.139444i
\(345\) −34130.1 193561.i −0.0154379 0.0875529i
\(346\) −1.65009e6 1.38459e6i −0.740999 0.621772i
\(347\) −10474.0 + 8788.73i −0.00466970 + 0.00391834i −0.645119 0.764082i \(-0.723192\pi\)
0.640450 + 0.768000i \(0.278748\pi\)
\(348\) −28565.9 + 162005.i −0.0126444 + 0.0717102i
\(349\) −1.46858e6 + 2.54366e6i −0.645408 + 1.11788i 0.338800 + 0.940859i \(0.389979\pi\)
−0.984207 + 0.177020i \(0.943354\pi\)
\(350\) 18677.2 + 32349.8i 0.00814969 + 0.0141157i
\(351\) 1.64210e6 597677.i 0.711431 0.258940i
\(352\) 721822. 262722.i 0.310508 0.113016i
\(353\) −549878. 952417.i −0.234871 0.406809i 0.724364 0.689418i \(-0.242133\pi\)
−0.959235 + 0.282609i \(0.908800\pi\)
\(354\) −255468. + 442483.i −0.108350 + 0.187667i
\(355\) −422611. + 2.39675e6i −0.177980 + 1.00937i
\(356\) −1.09913e6 + 922276.i −0.459645 + 0.385688i
\(357\) 207911. + 174458.i 0.0863388 + 0.0724468i
\(358\) −117641. 667177.i −0.0485124 0.275127i
\(359\) 3.81473e6 + 1.38845e6i 1.56217 + 0.568582i 0.971231 0.238138i \(-0.0765369\pi\)
0.590935 + 0.806719i \(0.298759\pi\)
\(360\) 593007. 0.241159
\(361\) 1.95317e6 + 1.52191e6i 0.788808 + 0.614640i
\(362\) 2.72700e6 1.09374
\(363\) 2.96872e6 + 1.08053e6i 1.18250 + 0.430397i
\(364\) −26738.4 151641.i −0.0105775 0.0599879i
\(365\) 829048. + 695654.i 0.325722 + 0.273313i
\(366\) −21501.7 + 18042.1i −0.00839016 + 0.00704018i
\(367\) 280736. 1.59213e6i 0.108801 0.617041i −0.880833 0.473428i \(-0.843017\pi\)
0.989634 0.143614i \(-0.0458723\pi\)
\(368\) 62528.6 108303.i 0.0240691 0.0416889i
\(369\) 781020. + 1.35277e6i 0.298604 + 0.517198i
\(370\) −1.59540e6 + 580677.i −0.605849 + 0.220511i
\(371\) 149417. 54383.5i 0.0563594 0.0205131i
\(372\) 412159. + 713880.i 0.154421 + 0.267465i
\(373\) −2.52006e6 + 4.36488e6i −0.937863 + 1.62443i −0.168415 + 0.985716i \(0.553865\pi\)
−0.769447 + 0.638710i \(0.779468\pi\)
\(374\) 978631. 5.55009e6i 0.361776 2.05173i
\(375\) −1.11983e6 + 939652.i −0.411221 + 0.345056i
\(376\) −809478. 679233.i −0.295281 0.247770i
\(377\) −118904. 674337.i −0.0430866 0.244356i
\(378\) −230371. 83848.3i −0.0829275 0.0301832i
\(379\) 4.27170e6 1.52758 0.763789 0.645466i \(-0.223337\pi\)
0.763789 + 0.645466i \(0.223337\pi\)
\(380\) 1.21800e6 + 418509.i 0.432701 + 0.148678i
\(381\) −1.83627e6 −0.648074
\(382\) 1.21144e6 + 440929.i 0.424760 + 0.154600i
\(383\) 735296. + 4.17007e6i 0.256133 + 1.45260i 0.793148 + 0.609029i \(0.208441\pi\)
−0.537016 + 0.843572i \(0.680448\pi\)
\(384\) −98717.7 82834.0i −0.0341639 0.0286669i
\(385\) 540047. 453153.i 0.185686 0.155809i
\(386\) −187432. + 1.06298e6i −0.0640288 + 0.363126i
\(387\) 1.26630e6 2.19330e6i 0.429793 0.744423i
\(388\) 469598. + 813368.i 0.158361 + 0.274289i
\(389\) 2.31028e6 840874.i 0.774089 0.281745i 0.0753833 0.997155i \(-0.475982\pi\)
0.698706 + 0.715409i \(0.253760\pi\)
\(390\) 792196. 288336.i 0.263737 0.0959925i
\(391\) −458758. 794592.i −0.151755 0.262847i
\(392\) 527023. 912831.i 0.173227 0.300037i
\(393\) −287874. + 1.63262e6i −0.0940202 + 0.533215i
\(394\) −507092. + 425501.i −0.164568 + 0.138089i
\(395\) 3.33845e6 + 2.80129e6i 1.07659 + 0.903370i
\(396\) 377518. + 2.14101e6i 0.120976 + 0.686090i
\(397\) −1.96849e6 716473.i −0.626842 0.228152i 0.00901431 0.999959i \(-0.497131\pi\)
−0.635856 + 0.771808i \(0.719353\pi\)
\(398\) −2.66430e6 −0.843093
\(399\) −176804. 142984.i −0.0555981 0.0449628i
\(400\) −130126. −0.0406644
\(401\) 3.95805e6 + 1.44061e6i 1.22919 + 0.447390i 0.873321 0.487145i \(-0.161962\pi\)
0.355872 + 0.934535i \(0.384184\pi\)
\(402\) −97183.1 551153.i −0.0299934 0.170101i
\(403\) −2.62843e6 2.20551e6i −0.806183 0.676468i
\(404\) −1.94619e6 + 1.63305e6i −0.593243 + 0.497790i
\(405\) −157908. + 895538.i −0.0478372 + 0.271298i
\(406\) −48031.2 + 83192.4i −0.0144613 + 0.0250477i
\(407\) −3.11215e6 5.39040e6i −0.931267 1.61300i
\(408\) −888447. + 323368.i −0.264229 + 0.0961716i
\(409\) 1.04861e6 381663.i 0.309960 0.112816i −0.182356 0.983232i \(-0.558372\pi\)
0.492317 + 0.870416i \(0.336150\pi\)
\(410\) 882257. + 1.52811e6i 0.259200 + 0.448948i
\(411\) −1.59844e6 + 2.76857e6i −0.466757 + 0.808446i
\(412\) 341337. 1.93582e6i 0.0990695 0.561851i
\(413\) −228558. + 191783.i −0.0659357 + 0.0553266i
\(414\) 271135. + 227510.i 0.0777473 + 0.0652377i
\(415\) −397285. 2.25312e6i −0.113235 0.642190i
\(416\) 504052. + 183460.i 0.142804 + 0.0519766i
\(417\) −1.19016e6 −0.335170
\(418\) −735597. + 4.66393e6i −0.205920 + 1.30560i
\(419\) −2.91852e6 −0.812133 −0.406066 0.913844i \(-0.633100\pi\)
−0.406066 + 0.913844i \(0.633100\pi\)
\(420\) −111137. 40450.7i −0.0307423 0.0111893i
\(421\) −102171. 579438.i −0.0280945 0.159332i 0.967533 0.252745i \(-0.0813333\pi\)
−0.995627 + 0.0934133i \(0.970222\pi\)
\(422\) −2.54943e6 2.13922e6i −0.696886 0.584757i
\(423\) 2.29102e6 1.92239e6i 0.622555 0.522386i
\(424\) −96185.3 + 545494.i −0.0259833 + 0.147359i
\(425\) −477353. + 826799.i −0.128194 + 0.222038i
\(426\) 748420. + 1.29630e6i 0.199812 + 0.346085i
\(427\) −15402.1 + 5605.91i −0.00408799 + 0.00148791i
\(428\) 943561. 343428.i 0.248978 0.0906205i
\(429\) 1.54534e6 + 2.67661e6i 0.405398 + 0.702170i
\(430\) 1.43044e6 2.47760e6i 0.373077 0.646189i
\(431\) 555090. 3.14807e6i 0.143936 0.816303i −0.824279 0.566184i \(-0.808419\pi\)
0.968215 0.250119i \(-0.0804698\pi\)
\(432\) 654214. 548951.i 0.168659 0.141522i
\(433\) −3.05069e6 2.55984e6i −0.781950 0.656134i 0.161789 0.986825i \(-0.448274\pi\)
−0.943739 + 0.330692i \(0.892718\pi\)
\(434\) 83587.2 + 474047.i 0.0213018 + 0.120808i
\(435\) −494220. 179881.i −0.125227 0.0455788i
\(436\) −96576.5 −0.0243307
\(437\) 396333. + 658642.i 0.0992788 + 0.164986i
\(438\) 665626. 0.165785
\(439\) −4.95224e6 1.80247e6i −1.22642 0.446382i −0.354053 0.935225i \(-0.615197\pi\)
−0.872372 + 0.488843i \(0.837419\pi\)
\(440\) 426453. + 2.41853e6i 0.105012 + 0.595553i
\(441\) 2.28527e6 + 1.91757e6i 0.559552 + 0.469520i
\(442\) 3.01473e6 2.52965e6i 0.733993 0.615893i
\(443\) 336553. 1.90868e6i 0.0814786 0.462088i −0.916582 0.399846i \(-0.869064\pi\)
0.998061 0.0622425i \(-0.0198252\pi\)
\(444\) −522105. + 904312.i −0.125690 + 0.217701i
\(445\) −2.29361e6 3.97265e6i −0.549060 0.951000i
\(446\) 308098. 112138.i 0.0733418 0.0266942i
\(447\) −86508.3 + 31486.5i −0.0204781 + 0.00745341i
\(448\) −37625.9 65169.9i −0.00885710 0.0153409i
\(449\) 2.75540e6 4.77249e6i 0.645013 1.11720i −0.339286 0.940683i \(-0.610185\pi\)
0.984299 0.176512i \(-0.0564814\pi\)
\(450\) 63952.6 362693.i 0.0148877 0.0844322i
\(451\) −4.95549e6 + 4.15815e6i −1.14722 + 0.962629i
\(452\) 3.28460e6 + 2.75610e6i 0.756199 + 0.634526i
\(453\) −5348.94 30335.3i −0.00122468 0.00694550i
\(454\) −268334. 97665.7i −0.0610994 0.0222384i
\(455\) 492292. 0.111479
\(456\) 739314. 284346.i 0.166501 0.0640375i
\(457\) −8.10498e6 −1.81536 −0.907678 0.419668i \(-0.862147\pi\)
−0.907678 + 0.419668i \(0.862147\pi\)
\(458\) −5.88699e6 2.14269e6i −1.31138 0.477305i
\(459\) −1.08803e6 6.17052e6i −0.241051 1.36707i
\(460\) 306281. + 257000.i 0.0674877 + 0.0566289i
\(461\) −796137. + 668038.i −0.174476 + 0.146403i −0.725844 0.687860i \(-0.758550\pi\)
0.551368 + 0.834262i \(0.314106\pi\)
\(462\) 75292.6 427005.i 0.0164115 0.0930740i
\(463\) 4.07948e6 7.06586e6i 0.884407 1.53184i 0.0380143 0.999277i \(-0.487897\pi\)
0.846392 0.532560i \(-0.178770\pi\)
\(464\) −167319. 289806.i −0.0360788 0.0624902i
\(465\) −2.47649e6 + 901369.i −0.531134 + 0.193317i
\(466\) −1.83479e6 + 667810.i −0.391401 + 0.142458i
\(467\) 2.10242e6 + 3.64150e6i 0.446095 + 0.772660i 0.998128 0.0611628i \(-0.0194809\pi\)
−0.552032 + 0.833823i \(0.686148\pi\)
\(468\) −759071. + 1.31475e6i −0.160202 + 0.277478i
\(469\) 56750.0 321845.i 0.0119134 0.0675640i
\(470\) 2.58799e6 2.17158e6i 0.540402 0.453451i
\(471\) −1.22607e6 1.02879e6i −0.254661 0.213686i
\(472\) −180483. 1.02357e6i −0.0372890 0.211476i
\(473\) 9.85583e6 + 3.58723e6i 2.02554 + 0.737235i
\(474\) 2.68038e6 0.547961
\(475\) 387322. 699816.i 0.0787658 0.142315i
\(476\) −552104. −0.111687
\(477\) −1.47315e6 536184.i −0.296450 0.107899i
\(478\) 1.07775e6 + 6.11223e6i 0.215749 + 1.22357i
\(479\) 7.50487e6 + 6.29733e6i 1.49453 + 1.25406i 0.888722 + 0.458446i \(0.151594\pi\)
0.605806 + 0.795612i \(0.292851\pi\)
\(480\) 315611. 264829.i 0.0625243 0.0524641i
\(481\) 754755. 4.28043e6i 0.148745 0.843576i
\(482\) 1.23393e6 2.13722e6i 0.241920 0.419018i
\(483\) −35295.3 61133.3i −0.00688413 0.0119237i
\(484\) −6.03904e6 + 2.19803e6i −1.17180 + 0.426502i
\(485\) −2.82162e6 + 1.02699e6i −0.544684 + 0.198249i
\(486\) 1.90094e6 + 3.29252e6i 0.365071 + 0.632322i
\(487\) −3.43723e6 + 5.95345e6i −0.656728 + 1.13749i 0.324729 + 0.945807i \(0.394727\pi\)
−0.981458 + 0.191680i \(0.938607\pi\)
\(488\) 9914.89 56230.1i 0.00188468 0.0106886i
\(489\) −379059. + 318068.i −0.0716861 + 0.0601518i
\(490\) 2.58149e6 + 2.16613e6i 0.485713 + 0.407562i
\(491\) −401374. 2.27630e6i −0.0751355 0.426114i −0.999052 0.0435215i \(-0.986142\pi\)
0.923917 0.382593i \(-0.124969\pi\)
\(492\) 1.01980e6 + 371178.i 0.189934 + 0.0691304i
\(493\) −2.45517e6 −0.454950
\(494\) −2.48696e6 + 2.16471e6i −0.458512 + 0.399101i
\(495\) −6.95062e6 −1.27500
\(496\) −1.57572e6 573515.i −0.287591 0.104674i
\(497\) 151782. + 860800.i 0.0275632 + 0.156319i
\(498\) −1.07793e6 904491.i −0.194768 0.163430i
\(499\) 3.07651e6 2.58150e6i 0.553104 0.464109i −0.322887 0.946438i \(-0.604653\pi\)
0.875991 + 0.482328i \(0.160209\pi\)
\(500\) 516379. 2.92853e6i 0.0923727 0.523872i
\(501\) 674559. 1.16837e6i 0.120068 0.207963i
\(502\) 987431. + 1.71028e6i 0.174883 + 0.302906i
\(503\) 1.16939e6 425624.i 0.206082 0.0750078i −0.236917 0.971530i \(-0.576137\pi\)
0.442999 + 0.896522i \(0.353915\pi\)
\(504\) 200136. 72843.6i 0.0350953 0.0127737i
\(505\) −4.06124e6 7.03428e6i −0.708648 1.22741i
\(506\) −732897. + 1.26942e6i −0.127253 + 0.220408i
\(507\) 132343. 750552.i 0.0228655 0.129676i
\(508\) 2.86148e6 2.40106e6i 0.491961 0.412804i
\(509\) 6.07072e6 + 5.09394e6i 1.03859 + 0.871484i 0.991849 0.127423i \(-0.0406705\pi\)
0.0467459 + 0.998907i \(0.485115\pi\)
\(510\) −524895. 2.97683e6i −0.0893608 0.506790i
\(511\) 365251. + 132941.i 0.0618784 + 0.0225219i
\(512\) 262144. 0.0441942
\(513\) 1.00497e6 + 5.15230e6i 0.168601 + 0.864387i
\(514\) −4.41386e6 −0.736904
\(515\) 5.90548e6 + 2.14942e6i 0.981153 + 0.357111i
\(516\) −305545. 1.73283e6i −0.0505185 0.286505i
\(517\) 9.48788e6 + 7.96128e6i 1.56114 + 1.30996i
\(518\) −467108. + 391950.i −0.0764879 + 0.0641809i
\(519\) 735504. 4.17125e6i 0.119858 0.679748i
\(520\) −857464. + 1.48517e6i −0.139062 + 0.240862i
\(521\) 913348. + 1.58197e6i 0.147415 + 0.255331i 0.930271 0.366872i \(-0.119571\pi\)
−0.782856 + 0.622203i \(0.786238\pi\)
\(522\) 889991. 323930.i 0.142958 0.0520326i
\(523\) 3.12976e6 1.13914e6i 0.500330 0.182105i −0.0795127 0.996834i \(-0.525336\pi\)
0.579842 + 0.814729i \(0.303114\pi\)
\(524\) −1.68617e6 2.92053e6i −0.268270 0.464658i
\(525\) −36725.9 + 63611.2i −0.00581533 + 0.0100724i
\(526\) 1.25412e6 7.11249e6i 0.197641 1.12088i
\(527\) −9.42435e6 + 7.90797e6i −1.47817 + 1.24033i
\(528\) 1.15707e6 + 970896.i 0.180624 + 0.151561i
\(529\) −1.07622e6 6.10355e6i −0.167210 0.948295i
\(530\) −1.66411e6 605685.i −0.257330 0.0936606i
\(531\) 2.94163e6 0.452743
\(532\) 462476. 8372.30i 0.0708452 0.00128253i
\(533\) −4.51729e6 −0.688748
\(534\) −2.65119e6 964953.i −0.402335 0.146438i
\(535\) 557457. + 3.16149e6i 0.0842028 + 0.477538i
\(536\) 872114. + 731790.i 0.131118 + 0.110021i
\(537\) 1.02048e6 856285.i 0.152711 0.128139i
\(538\) −1.28211e6 + 7.27119e6i −0.190971 + 1.08305i
\(539\) −6.17723e6 + 1.06993e7i −0.915845 + 1.58629i
\(540\) 1.36519e6 + 2.36457e6i 0.201469 + 0.348954i
\(541\) 3.00097e6 1.09226e6i 0.440827 0.160448i −0.112065 0.993701i \(-0.535746\pi\)
0.552892 + 0.833253i \(0.313524\pi\)
\(542\) 3.65328e6 1.32969e6i 0.534176 0.194424i
\(543\) 2.68112e6 + 4.64383e6i 0.390226 + 0.675891i
\(544\) 961644. 1.66562e6i 0.139321 0.241311i
\(545\) 53616.5 304074.i 0.00773227 0.0438519i
\(546\) 231943. 194623.i 0.0332966 0.0279391i
\(547\) −46789.7 39261.2i −0.00668624 0.00561043i 0.639438 0.768842i \(-0.279167\pi\)
−0.646125 + 0.763232i \(0.723611\pi\)
\(548\) −1.12926e6 6.40435e6i −0.160636 0.911011i
\(549\) 151854. + 55270.4i 0.0215028 + 0.00782639i
\(550\) 1.52521e6 0.214992
\(551\) 2.05660e6 37231.0i 0.288583 0.00522427i
\(552\) 245907. 0.0343497
\(553\) 1.47081e6 + 535332.i 0.204524 + 0.0744406i
\(554\) −129591. 734950.i −0.0179392 0.101738i
\(555\) −2.55740e6 2.14591e6i −0.352424 0.295719i
\(556\) 1.85463e6 1.55622e6i 0.254431 0.213493i
\(557\) 512159. 2.90460e6i 0.0699466 0.396687i −0.929654 0.368433i \(-0.879894\pi\)
0.999601 0.0282537i \(-0.00899461\pi\)
\(558\) 2.37294e6 4.11005e6i 0.322627 0.558806i
\(559\) 3.66204e6 + 6.34283e6i 0.495670 + 0.858526i
\(560\) 226078. 82285.8i 0.0304641 0.0110880i
\(561\) 1.04135e7 3.79020e6i 1.39697 0.508457i
\(562\) 2.07760e6 + 3.59850e6i 0.277473 + 0.480597i
\(563\) 1.37243e6 2.37711e6i 0.182481 0.316067i −0.760244 0.649638i \(-0.774920\pi\)
0.942725 + 0.333571i \(0.108254\pi\)
\(564\) 360814. 2.04628e6i 0.0477623 0.270873i
\(565\) −1.05012e7 + 8.81154e6i −1.38394 + 1.16126i
\(566\) −590060. 495119.i −0.0774203 0.0649634i
\(567\) 56713.1 + 321636.i 0.00740842 + 0.0420152i
\(568\) −2.86128e6 1.04142e6i −0.372125 0.135443i
\(569\) −3.86125e6 −0.499974 −0.249987 0.968249i \(-0.580426\pi\)
−0.249987 + 0.968249i \(0.580426\pi\)
\(570\) 484826. + 2.48561e6i 0.0625027 + 0.320440i
\(571\) −2.76457e6 −0.354844 −0.177422 0.984135i \(-0.556776\pi\)
−0.177422 + 0.984135i \(0.556776\pi\)
\(572\) −5.90798e6 2.15033e6i −0.755004 0.274799i
\(573\) 440198. + 2.49649e6i 0.0560095 + 0.317646i
\(574\) 485467. + 407355.i 0.0615007 + 0.0516052i
\(575\) 190216. 159610.i 0.0239926 0.0201322i
\(576\) −128835. + 730659.i −0.0161800 + 0.0917611i
\(577\) 67370.1 116689.i 0.00842419 0.0145911i −0.861783 0.507278i \(-0.830652\pi\)
0.870207 + 0.492687i \(0.163985\pi\)
\(578\) −4.21564e6 7.30171e6i −0.524861 0.909086i
\(579\) −1.99444e6 + 725916.i −0.247243 + 0.0899892i
\(580\) 1.00535e6 365919.i 0.124093 0.0451663i
\(581\) −410849. 711611.i −0.0504943 0.0874586i
\(582\) −923396. + 1.59937e6i −0.113001 + 0.195723i
\(583\) 1.12739e6 6.39373e6i 0.137373 0.779081i
\(584\) −1.03725e6 + 870355.i −0.125849 + 0.105600i
\(585\) −3.71812e6 3.11987e6i −0.449193 0.376918i
\(586\) −110558. 627007.i −0.0132999 0.0754273i
\(587\) 2.60775e6 + 949142.i 0.312371 + 0.113694i 0.493448 0.869775i \(-0.335736\pi\)
−0.181078 + 0.983469i \(0.557959\pi\)
\(588\) 2.07263e6 0.247217
\(589\) 7.77449e6 6.76711e6i 0.923387 0.803739i
\(590\) 3.32293e6 0.392999
\(591\) −1.22315e6 445190.i −0.144049 0.0524297i
\(592\) −368856. 2.09188e6i −0.0432566 0.245320i
\(593\) −8.68226e6 7.28528e6i −1.01390 0.850765i −0.0250535 0.999686i \(-0.507976\pi\)
−0.988849 + 0.148921i \(0.952420\pi\)
\(594\) −7.66803e6 + 6.43424e6i −0.891698 + 0.748223i
\(595\) 306512. 1.73832e6i 0.0354941 0.201297i
\(596\) 93635.6 162182.i 0.0107976 0.0187019i
\(597\) −2.61948e6 4.53707e6i −0.300801 0.521002i
\(598\) −961843. + 350082.i −0.109989 + 0.0400329i
\(599\) 6.50993e6 2.36942e6i 0.741327 0.269821i 0.0563753 0.998410i \(-0.482046\pi\)
0.684951 + 0.728589i \(0.259823\pi\)
\(600\) −127937. 221593.i −0.0145083 0.0251292i
\(601\) −4.35793e6 + 7.54816e6i −0.492146 + 0.852423i −0.999959 0.00904490i \(-0.997121\pi\)
0.507813 + 0.861468i \(0.330454\pi\)
\(602\) 178423. 1.01189e6i 0.0200659 0.113799i
\(603\) −2.46829e6 + 2.07114e6i −0.276441 + 0.231962i
\(604\) 48001.0 + 40277.6i 0.00535374 + 0.00449233i
\(605\) −3.56787e6 2.02344e7i −0.396297 2.24751i
\(606\) −4.69439e6 1.70862e6i −0.519275 0.189001i
\(607\) −1.16901e7 −1.28779 −0.643895 0.765114i \(-0.722682\pi\)
−0.643895 + 0.765114i \(0.722682\pi\)
\(608\) −780274. + 1.40981e6i −0.0856028 + 0.154668i
\(609\) −188892. −0.0206382
\(610\) 171538. + 62434.7i 0.0186653 + 0.00679362i
\(611\) 1.50186e6 + 8.51750e6i 0.162753 + 0.923016i
\(612\) 4.16986e6 + 3.49893e6i 0.450032 + 0.377622i
\(613\) 4.18156e6 3.50874e6i 0.449456 0.377138i −0.389778 0.920909i \(-0.627448\pi\)
0.839234 + 0.543771i \(0.183004\pi\)
\(614\) −648552. + 3.67812e6i −0.0694263 + 0.393736i
\(615\) −1.73483e6 + 3.00481e6i −0.184956 + 0.320353i
\(616\) 441012. + 763856.i 0.0468273 + 0.0811072i
\(617\) 5.76966e6 2.09999e6i 0.610151 0.222077i −0.0184182 0.999830i \(-0.505863\pi\)
0.628569 + 0.777754i \(0.283641\pi\)
\(618\) 3.63212e6 1.32198e6i 0.382550 0.139237i
\(619\) 624938. + 1.08242e6i 0.0655557 + 0.113546i 0.896940 0.442152i \(-0.145785\pi\)
−0.831385 + 0.555697i \(0.812451\pi\)
\(620\) 2.68052e6 4.64280e6i 0.280053 0.485066i
\(621\) −282986. + 1.60489e6i −0.0294467 + 0.167000i
\(622\) 305698. 256511.i 0.0316823 0.0265846i
\(623\) −1.26207e6 1.05900e6i −0.130276 0.109314i
\(624\) 183156. + 1.03873e6i 0.0188304 + 0.106792i
\(625\) 7.44123e6 + 2.70839e6i 0.761982 + 0.277339i
\(626\) −7.98305e6 −0.814203
\(627\) −8.66549e6 + 3.33281e6i −0.880287 + 0.338565i
\(628\) 3.25581e6 0.329427
\(629\) −1.46446e7 5.33019e6i −1.47588 0.537175i
\(630\) 118241. + 670576.i 0.0118690 + 0.0673126i
\(631\) −317408. 266337.i −0.0317354 0.0266292i 0.626782 0.779195i \(-0.284372\pi\)
−0.658517 + 0.752565i \(0.728816\pi\)
\(632\) −4.17685e6 + 3.50479e6i −0.415964 + 0.349035i
\(633\) 1.13637e6 6.44468e6i 0.112723 0.639282i
\(634\) 5.75491e6 9.96780e6i 0.568611 0.984863i
\(635\) 5.97121e6 + 1.03424e7i 0.587663 + 1.01786i
\(636\) −1.02349e6 + 372522.i −0.100333 + 0.0365181i
\(637\) −8.10690e6 + 2.95067e6i −0.791601 + 0.288119i
\(638\) 1.96115e6 + 3.39681e6i 0.190747 + 0.330384i
\(639\) 4.30891e6 7.46325e6i 0.417460 0.723063i
\(640\) −145535. + 825369.i −0.0140448 + 0.0796522i
\(641\) 1.26849e7 1.06439e7i 1.21939 1.02319i 0.220536 0.975379i \(-0.429219\pi\)
0.998856 0.0478129i \(-0.0152251\pi\)
\(642\) 1.51251e6 + 1.26915e6i 0.144831 + 0.121528i
\(643\) 804537. + 4.56276e6i 0.0767394 + 0.435211i 0.998835 + 0.0482495i \(0.0153643\pi\)
−0.922096 + 0.386962i \(0.873525\pi\)
\(644\) 134937. + 49113.1i 0.0128208 + 0.00466641i
\(645\) 5.62550e6 0.532429
\(646\) 6.09531e6 + 1.01294e7i 0.574665 + 0.955001i
\(647\) −1.59014e7 −1.49340 −0.746699 0.665162i \(-0.768363\pi\)
−0.746699 + 0.665162i \(0.768363\pi\)
\(648\) −1.06911e6 389124.i −0.100019 0.0364041i
\(649\) 2.11543e6 + 1.19972e7i 0.197146 + 1.11807i
\(650\) 815883. + 684607.i 0.0757434 + 0.0635562i
\(651\) −725078. + 608413.i −0.0670552 + 0.0562660i
\(652\) 174792. 991296.i 0.0161029 0.0913239i
\(653\) 9.01348e6 1.56118e7i 0.827198 1.43275i −0.0730294 0.997330i \(-0.523267\pi\)
0.900228 0.435420i \(-0.143400\pi\)
\(654\) −94951.7 164461.i −0.00868077 0.0150355i
\(655\) 1.01315e7 3.68756e6i 0.922721 0.335843i
\(656\) −2.07451e6 + 755058.i −0.188215 + 0.0685048i
\(657\) −1.91612e6 3.31881e6i −0.173184 0.299964i
\(658\) 606678. 1.05080e6i 0.0546252 0.0946137i
\(659\) −2.55852e6 + 1.45101e7i −0.229496 + 1.30154i 0.624405 + 0.781101i \(0.285342\pi\)
−0.853901 + 0.520436i \(0.825770\pi\)
\(660\) −3.69927e6 + 3.10405e6i −0.330564 + 0.277376i
\(661\) 5.92570e6 + 4.97225e6i 0.527516 + 0.442639i 0.867243 0.497885i \(-0.165890\pi\)
−0.339726 + 0.940524i \(0.610334\pi\)
\(662\) 823935. + 4.67277e6i 0.0730715 + 0.414409i
\(663\) 7.27178e6 + 2.64671e6i 0.642476 + 0.233842i
\(664\) 2.86243e6 0.251951
\(665\) −230393. + 1.46077e6i −0.0202030 + 0.128094i
\(666\) 6.01187e6 0.525199
\(667\) 600055. + 218402.i 0.0522248 + 0.0190083i
\(668\) 476562. + 2.70272e6i 0.0413217 + 0.234347i
\(669\) 493876. + 414411.i 0.0426631 + 0.0357986i
\(670\) −2.78824e6 + 2.33961e6i −0.239962 + 0.201352i
\(671\) −116212. + 659072.i −0.00996427 + 0.0565102i
\(672\) 73985.7 128147.i 0.00632011 0.0109468i
\(673\) 733953. + 1.27124e6i 0.0624641 + 0.108191i 0.895566 0.444928i \(-0.146771\pi\)
−0.833102 + 0.553119i \(0.813437\pi\)
\(674\) −8.90777e6 + 3.24216e6i −0.755299 + 0.274906i
\(675\) 1.59344e6 579966.i 0.134610 0.0489940i
\(676\) 775172. + 1.34264e6i 0.0652426 + 0.113004i
\(677\) −8.52294e6 + 1.47622e7i −0.714690 + 1.23788i 0.248389 + 0.968660i \(0.420099\pi\)
−0.963079 + 0.269219i \(0.913235\pi\)
\(678\) −1.46406e6 + 8.30311e6i −0.122317 + 0.693692i
\(679\) −826128. + 693204.i −0.0687659 + 0.0577014i
\(680\) 4.71037e6 + 3.95247e6i 0.390645 + 0.327790i
\(681\) −97503.9 552972.i −0.00805665 0.0456915i
\(682\) 1.84690e7 + 6.72216e6i 1.52048 + 0.553411i
\(683\) −1.91081e7 −1.56735 −0.783676 0.621170i \(-0.786658\pi\)
−0.783676 + 0.621170i \(0.786658\pi\)
\(684\) −3.54599e6 2.86768e6i −0.289799 0.234364i
\(685\) 2.07912e7 1.69299
\(686\) 2.29795e6 + 836384.i 0.186436 + 0.0678571i
\(687\) −2.13914e6 1.21317e7i −0.172921 0.980683i
\(688\) 2.74194e6 + 2.30076e6i 0.220844 + 0.185310i
\(689\) 3.47298e6 2.91417e6i 0.278711 0.233866i
\(690\) −136520. + 774245.i −0.0109163 + 0.0619092i
\(691\) 6.58402e6 1.14039e7i 0.524561 0.908567i −0.475030 0.879970i \(-0.657563\pi\)
0.999591 0.0285970i \(-0.00910395\pi\)
\(692\) 4.30808e6 + 7.46181e6i 0.341994 + 0.592351i
\(693\) −2.34579e6 + 853799.i −0.185548 + 0.0675340i
\(694\) 51393.1 18705.5i 0.00405047 0.00147425i
\(695\) 3.87017e6 + 6.70333e6i 0.303926 + 0.526416i
\(696\) 329009. 569860.i 0.0257445 0.0445908i
\(697\) −2.81257e6 + 1.59509e7i −0.219291 + 1.24366i
\(698\) 8.99998e6 7.55188e6i 0.699203 0.586701i
\(699\) −2.94114e6 2.46791e6i −0.227679 0.191046i
\(700\) −25946.1 147148.i −0.00200137 0.0113503i
\(701\) −1.77442e7 6.45835e6i −1.36383 0.496394i −0.446594 0.894737i \(-0.647363\pi\)
−0.917236 + 0.398343i \(0.869585\pi\)
\(702\) −6.98996e6 −0.535343
\(703\) 1.23480e7 + 4.24281e6i 0.942343 + 0.323792i
\(704\) −3.07259e6 −0.233654
\(705\) 6.24245e6 + 2.27207e6i 0.473023 + 0.172166i
\(706\) 763883. + 4.33219e6i 0.0576786 + 0.327112i
\(707\) −2.23472e6 1.87515e6i −0.168141 0.141087i
\(708\) 1.56560e6 1.31369e6i 0.117381 0.0984942i
\(709\) 621528. 3.52486e6i 0.0464350 0.263346i −0.952748 0.303762i \(-0.901757\pi\)
0.999183 + 0.0404161i \(0.0128684\pi\)
\(710\) 4.86744e6 8.43066e6i 0.362372 0.627647i
\(711\) −7.71592e6 1.33644e7i −0.572419 0.991458i
\(712\) 5.39311e6 1.96293e6i 0.398694 0.145113i
\(713\) 3.00682e6 1.09439e6i 0.221505 0.0806213i
\(714\) −542816. 940185.i −0.0398480 0.0690188i
\(715\) 1.00503e7 1.74077e7i 0.735216 1.27343i
\(716\) −470565. + 2.66871e6i −0.0343034 + 0.194544i
\(717\) −9.34897e6 + 7.84472e6i −0.679150 + 0.569875i
\(718\) −1.24392e7 1.04377e7i −0.900493 0.755603i
\(719\) 2.11129e6 + 1.19737e7i 0.152309 + 0.863787i 0.961205 + 0.275835i \(0.0889545\pi\)
−0.808896 + 0.587952i \(0.799934\pi\)
\(720\) −2.22898e6 811281.i −0.160241 0.0583230i
\(721\) 2.25709e6 0.161700
\(722\) −5.25941e6 8.39260e6i −0.375486 0.599174i
\(723\) 4.85267e6 0.345251
\(724\) −1.02501e7 3.73075e6i −0.726748 0.264515i
\(725\) −115380. 654354.i −0.00815242 0.0462347i
\(726\) −9.68050e6 8.12290e6i −0.681642 0.571965i
\(727\) −1.29242e7 + 1.08447e7i −0.906918 + 0.760994i −0.971530 0.236916i \(-0.923863\pi\)
0.0646124 + 0.997910i \(0.479419\pi\)
\(728\) −106954. + 606565.i −0.00747942 + 0.0424179i
\(729\) −1.57802e6 + 2.73322e6i −0.109975 + 0.190483i
\(730\) −2.16449e6 3.74901e6i −0.150331 0.260381i
\(731\) 2.46771e7 8.98172e6i 1.70805 0.621679i
\(732\) 105503. 38399.9i 0.00727758 0.00264882i
\(733\) −1.73323e6 3.00204e6i −0.119150 0.206374i 0.800281 0.599625i \(-0.204684\pi\)
−0.919431 + 0.393251i \(0.871350\pi\)
\(734\) −3.23339e6 + 5.60040e6i −0.221523 + 0.383688i
\(735\) −1.15066e6 + 6.52573e6i −0.0785650 + 0.445564i
\(736\) −383198. + 321541.i −0.0260752 + 0.0218797i
\(737\) −1.02220e7 8.57730e6i −0.693216 0.581677i
\(738\) −1.08498e6 6.15324e6i −0.0733299 0.415875i
\(739\) −2.10455e7 7.65993e6i −1.41758 0.515957i −0.484236 0.874937i \(-0.660902\pi\)
−0.933345 + 0.358980i \(0.883125\pi\)
\(740\) 6.79114e6 0.455894
\(741\) −6.13142e6 2.10678e6i −0.410219 0.140953i
\(742\) −636027. −0.0424097
\(743\) −7.67598e6 2.79383e6i −0.510108 0.185664i 0.0741270 0.997249i \(-0.476383\pi\)
−0.584235 + 0.811585i \(0.698605\pi\)
\(744\) −572565. 3.24718e6i −0.0379221 0.215067i
\(745\) 458650. + 384853.i 0.0302755 + 0.0254041i
\(746\) 1.54438e7 1.29589e7i 1.01603 0.852554i
\(747\) −1.40679e6 + 7.97830e6i −0.0922418 + 0.523129i
\(748\) −1.12714e7 + 1.95227e7i −0.736588 + 1.27581i
\(749\) 576489. + 998508.i 0.0375480 + 0.0650350i
\(750\) 5.49472e6 1.99991e6i 0.356691 0.129825i
\(751\) 1.39573e7 5.08003e6i 0.903028 0.328675i 0.151562 0.988448i \(-0.451570\pi\)
0.751465 + 0.659773i \(0.229347\pi\)
\(752\) 2.11340e6 + 3.66051e6i 0.136281 + 0.236046i
\(753\) −1.94164e6 + 3.36301e6i −0.124790 + 0.216143i
\(754\) −475615. + 2.69735e6i −0.0304669 + 0.172786i
\(755\) −153464. + 128772.i −0.00979804 + 0.00822153i
\(756\) 751201. + 630333.i 0.0478026 + 0.0401112i
\(757\) −430338. 2.44057e6i −0.0272942 0.154793i 0.968115 0.250508i \(-0.0805975\pi\)
−0.995409 + 0.0957145i \(0.969486\pi\)
\(758\) −1.60564e7 5.84404e6i −1.01502 0.369437i
\(759\) −2.88227e6 −0.181606
\(760\) −4.00563e6 3.23940e6i −0.251557 0.203437i
\(761\) −7.92371e6 −0.495983 −0.247991 0.968762i \(-0.579770\pi\)
−0.247991 + 0.968762i \(0.579770\pi\)
\(762\) 6.90213e6 + 2.51217e6i 0.430621 + 0.156733i
\(763\) −19256.5 109209.i −0.00119748 0.00679122i
\(764\) −3.95030e6 3.31470e6i −0.244848 0.205452i
\(765\) −1.33315e7 + 1.11864e7i −0.823616 + 0.691096i
\(766\) 2.94118e6 1.66803e7i 0.181113 1.02714i
\(767\) −4.25348e6 + 7.36724e6i −0.261069 + 0.452185i