Properties

Label 38.6.e.b.9.4
Level $38$
Weight $6$
Character 38.9
Analytic conductor $6.095$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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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 9.4
Character \(\chi\) \(=\) 38.9
Dual form 38.6.e.b.17.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.694593 + 3.93923i) q^{2} +(7.96877 - 6.68659i) q^{3} +(-15.0351 + 5.47232i) q^{4} +(-89.7666 - 32.6724i) q^{5} +(31.8751 + 26.7464i) q^{6} +(-116.109 + 201.107i) q^{7} +(-32.0000 - 55.4256i) q^{8} +(-23.4057 + 132.740i) q^{9} +O(q^{10})\) \(q+(0.694593 + 3.93923i) q^{2} +(7.96877 - 6.68659i) q^{3} +(-15.0351 + 5.47232i) q^{4} +(-89.7666 - 32.6724i) q^{5} +(31.8751 + 26.7464i) q^{6} +(-116.109 + 201.107i) q^{7} +(-32.0000 - 55.4256i) q^{8} +(-23.4057 + 132.740i) q^{9} +(66.3528 - 376.305i) q^{10} +(-172.940 - 299.541i) q^{11} +(-83.2199 + 144.141i) q^{12} +(387.869 + 325.461i) q^{13} +(-872.856 - 317.694i) q^{14} +(-933.796 + 339.874i) q^{15} +(196.107 - 164.554i) q^{16} +(-138.413 - 784.980i) q^{17} -539.153 q^{18} +(-880.656 - 1304.05i) q^{19} +1528.44 q^{20} +(419.474 + 2378.95i) q^{21} +(1059.84 - 889.309i) q^{22} +(1118.86 - 407.232i) q^{23} +(-625.609 - 227.703i) q^{24} +(4596.67 + 3857.06i) q^{25} +(-1012.65 + 1753.97i) q^{26} +(1964.97 + 3403.43i) q^{27} +(645.189 - 3659.05i) q^{28} +(-73.8636 + 418.901i) q^{29} +(-1987.45 - 3442.37i) q^{30} +(-3323.92 + 5757.21i) q^{31} +(784.430 + 658.215i) q^{32} +(-3381.02 - 1230.59i) q^{33} +(2996.07 - 1090.48i) q^{34} +(16993.4 - 14259.1i) q^{35} +(-374.491 - 2123.85i) q^{36} -7850.99 q^{37} +(4525.25 - 4374.89i) q^{38} +5267.06 q^{39} +(1061.64 + 6020.89i) q^{40} +(-12318.1 + 10336.1i) q^{41} +(-9079.88 + 3304.81i) q^{42} +(-12143.0 - 4419.71i) q^{43} +(4239.35 + 3557.23i) q^{44} +(6438.00 - 11150.9i) q^{45} +(2381.34 + 4124.59i) q^{46} +(-3679.63 + 20868.2i) q^{47} +(462.432 - 2622.58i) q^{48} +(-18559.2 - 32145.5i) q^{49} +(-12001.1 + 20786.4i) q^{50} +(-6351.82 - 5329.81i) q^{51} +(-7612.67 - 2770.78i) q^{52} +(27337.3 - 9949.97i) q^{53} +(-12042.0 + 10104.5i) q^{54} +(5737.52 + 32539.1i) q^{55} +14862.0 q^{56} +(-15737.4 - 4503.09i) q^{57} -1701.45 q^{58} +(1622.96 + 9204.26i) q^{59} +(12179.8 - 10220.1i) q^{60} +(7819.16 - 2845.94i) q^{61} +(-24987.7 - 9094.79i) q^{62} +(-23977.4 - 20119.5i) q^{63} +(-2048.00 + 3547.24i) q^{64} +(-24184.1 - 41888.1i) q^{65} +(2499.15 - 14173.4i) q^{66} +(-2491.34 + 14129.1i) q^{67} +(6376.71 + 11044.8i) q^{68} +(6192.96 - 10726.5i) q^{69} +(67973.5 + 57036.6i) q^{70} +(29318.6 + 10671.1i) q^{71} +(8106.20 - 2950.42i) q^{72} +(1526.18 - 1280.61i) q^{73} +(-5453.24 - 30926.9i) q^{74} +62420.4 q^{75} +(20376.9 + 14787.3i) q^{76} +80319.7 q^{77} +(3658.46 + 20748.2i) q^{78} +(-7371.85 + 6185.72i) q^{79} +(-22980.3 + 8364.13i) q^{80} +(7637.48 + 2779.82i) q^{81} +(-49272.2 - 41344.3i) q^{82} +(17089.7 - 29600.3i) q^{83} +(-19325.2 - 33472.3i) q^{84} +(-13222.3 + 74987.2i) q^{85} +(8975.77 - 50904.1i) q^{86} +(2212.42 + 3832.03i) q^{87} +(-11068.1 + 19170.6i) q^{88} +(-85277.6 - 71556.4i) q^{89} +(48397.9 + 17615.4i) q^{90} +(-110488. + 40214.2i) q^{91} +(-14593.7 + 12245.5i) q^{92} +(12008.5 + 68103.6i) q^{93} -84760.6 q^{94} +(36447.1 + 145833. i) q^{95} +10652.2 q^{96} +(16843.0 + 95521.2i) q^{97} +(113738. - 95437.1i) q^{98} +(43808.9 - 15945.1i) 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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).

\(n\) \(21\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.694593 + 3.93923i 0.122788 + 0.696364i
\(3\) 7.96877 6.68659i 0.511197 0.428945i −0.350353 0.936618i \(-0.613938\pi\)
0.861550 + 0.507672i \(0.169494\pi\)
\(4\) −15.0351 + 5.47232i −0.469846 + 0.171010i
\(5\) −89.7666 32.6724i −1.60579 0.584461i −0.625192 0.780471i \(-0.714979\pi\)
−0.980602 + 0.196010i \(0.937202\pi\)
\(6\) 31.8751 + 26.7464i 0.361471 + 0.303310i
\(7\) −116.109 + 201.107i −0.895616 + 1.55125i −0.0625755 + 0.998040i \(0.519931\pi\)
−0.833040 + 0.553212i \(0.813402\pi\)
\(8\) −32.0000 55.4256i −0.176777 0.306186i
\(9\) −23.4057 + 132.740i −0.0963198 + 0.546257i
\(10\) 66.3528 376.305i 0.209826 1.18998i
\(11\) −172.940 299.541i −0.430936 0.746404i 0.566018 0.824393i \(-0.308483\pi\)
−0.996954 + 0.0779892i \(0.975150\pi\)
\(12\) −83.2199 + 144.141i −0.166830 + 0.288958i
\(13\) 387.869 + 325.461i 0.636541 + 0.534122i 0.902954 0.429738i \(-0.141394\pi\)
−0.266413 + 0.963859i \(0.585838\pi\)
\(14\) −872.856 317.694i −1.19021 0.433200i
\(15\) −933.796 + 339.874i −1.07158 + 0.390023i
\(16\) 196.107 164.554i 0.191511 0.160697i
\(17\) −138.413 784.980i −0.116160 0.658773i −0.986170 0.165739i \(-0.946999\pi\)
0.870010 0.493034i \(-0.164112\pi\)
\(18\) −539.153 −0.392221
\(19\) −880.656 1304.05i −0.559657 0.828724i
\(20\) 1528.44 0.854425
\(21\) 419.474 + 2378.95i 0.207566 + 1.17717i
\(22\) 1059.84 889.309i 0.466855 0.391738i
\(23\) 1118.86 407.232i 0.441018 0.160518i −0.111961 0.993713i \(-0.535713\pi\)
0.552979 + 0.833195i \(0.313491\pi\)
\(24\) −625.609 227.703i −0.221705 0.0806939i
\(25\) 4596.67 + 3857.06i 1.47093 + 1.23426i
\(26\) −1012.65 + 1753.97i −0.293784 + 0.508848i
\(27\) 1964.97 + 3403.43i 0.518736 + 0.898477i
\(28\) 645.189 3659.05i 0.155522 0.882010i
\(29\) −73.8636 + 418.901i −0.0163093 + 0.0924947i −0.991876 0.127209i \(-0.959398\pi\)
0.975567 + 0.219704i \(0.0705091\pi\)
\(30\) −1987.45 3442.37i −0.403175 0.698319i
\(31\) −3323.92 + 5757.21i −0.621222 + 1.07599i 0.368036 + 0.929811i \(0.380030\pi\)
−0.989258 + 0.146177i \(0.953303\pi\)
\(32\) 784.430 + 658.215i 0.135419 + 0.113630i
\(33\) −3381.02 1230.59i −0.540460 0.196711i
\(34\) 2996.07 1090.48i 0.444483 0.161779i
\(35\) 16993.4 14259.1i 2.34482 1.96754i
\(36\) −374.491 2123.85i −0.0481599 0.273128i
\(37\) −7850.99 −0.942801 −0.471401 0.881919i \(-0.656251\pi\)
−0.471401 + 0.881919i \(0.656251\pi\)
\(38\) 4525.25 4374.89i 0.508375 0.491482i
\(39\) 5267.06 0.554507
\(40\) 1061.64 + 6020.89i 0.104913 + 0.594991i
\(41\) −12318.1 + 10336.1i −1.14441 + 0.960276i −0.999574 0.0291795i \(-0.990711\pi\)
−0.144838 + 0.989455i \(0.546266\pi\)
\(42\) −9079.88 + 3304.81i −0.794249 + 0.289083i
\(43\) −12143.0 4419.71i −1.00151 0.364521i −0.211345 0.977412i \(-0.567784\pi\)
−0.790168 + 0.612891i \(0.790007\pi\)
\(44\) 4239.35 + 3557.23i 0.330116 + 0.277001i
\(45\) 6438.00 11150.9i 0.473936 0.820881i
\(46\) 2381.34 + 4124.59i 0.165930 + 0.287400i
\(47\) −3679.63 + 20868.2i −0.242974 + 1.37797i 0.582177 + 0.813062i \(0.302201\pi\)
−0.825151 + 0.564912i \(0.808910\pi\)
\(48\) 462.432 2622.58i 0.0289697 0.164296i
\(49\) −18559.2 32145.5i −1.10426 1.91263i
\(50\) −12001.1 + 20786.4i −0.678882 + 1.17586i
\(51\) −6351.82 5329.81i −0.341958 0.286937i
\(52\) −7612.67 2770.78i −0.390417 0.142100i
\(53\) 27337.3 9949.97i 1.33680 0.486555i 0.427996 0.903781i \(-0.359220\pi\)
0.908803 + 0.417225i \(0.136997\pi\)
\(54\) −12042.0 + 10104.5i −0.561973 + 0.471551i
\(55\) 5737.52 + 32539.1i 0.255751 + 1.45044i
\(56\) 14862.0 0.633296
\(57\) −15737.4 4503.09i −0.641572 0.183579i
\(58\) −1701.45 −0.0664126
\(59\) 1622.96 + 9204.26i 0.0606985 + 0.344238i 0.999999 + 0.00114356i \(0.000364007\pi\)
−0.939301 + 0.343095i \(0.888525\pi\)
\(60\) 12179.8 10220.1i 0.436779 0.366502i
\(61\) 7819.16 2845.94i 0.269052 0.0979268i −0.203971 0.978977i \(-0.565385\pi\)
0.473023 + 0.881050i \(0.343163\pi\)
\(62\) −24987.7 9094.79i −0.825558 0.300479i
\(63\) −23977.4 20119.5i −0.761117 0.638653i
\(64\) −2048.00 + 3547.24i −0.0625000 + 0.108253i
\(65\) −24184.1 41888.1i −0.709981 1.22972i
\(66\) 2499.15 14173.4i 0.0706208 0.400511i
\(67\) −2491.34 + 14129.1i −0.0678026 + 0.384527i 0.931956 + 0.362570i \(0.118101\pi\)
−0.999759 + 0.0219570i \(0.993010\pi\)
\(68\) 6376.71 + 11044.8i 0.167234 + 0.289658i
\(69\) 6192.96 10726.5i 0.156594 0.271229i
\(70\) 67973.5 + 57036.6i 1.65804 + 1.39126i
\(71\) 29318.6 + 10671.1i 0.690235 + 0.251225i 0.663236 0.748411i \(-0.269183\pi\)
0.0269990 + 0.999635i \(0.491405\pi\)
\(72\) 8106.20 2950.42i 0.184283 0.0670737i
\(73\) 1526.18 1280.61i 0.0335195 0.0281262i −0.625874 0.779924i \(-0.715258\pi\)
0.659394 + 0.751798i \(0.270813\pi\)
\(74\) −5453.24 30926.9i −0.115764 0.656533i
\(75\) 62420.4 1.28137
\(76\) 20376.9 + 14787.3i 0.404673 + 0.293666i
\(77\) 80319.7 1.54381
\(78\) 3658.46 + 20748.2i 0.0680867 + 0.386139i
\(79\) −7371.85 + 6185.72i −0.132895 + 0.111512i −0.706812 0.707401i \(-0.749868\pi\)
0.573917 + 0.818913i \(0.305423\pi\)
\(80\) −22980.3 + 8364.13i −0.401448 + 0.146115i
\(81\) 7637.48 + 2779.82i 0.129341 + 0.0470764i
\(82\) −49272.2 41344.3i −0.809222 0.679018i
\(83\) 17089.7 29600.3i 0.272295 0.471629i −0.697154 0.716921i \(-0.745551\pi\)
0.969449 + 0.245292i \(0.0788839\pi\)
\(84\) −19325.2 33472.3i −0.298831 0.517591i
\(85\) −13222.3 + 74987.2i −0.198499 + 1.12574i
\(86\) 8975.77 50904.1i 0.130866 0.742176i
\(87\) 2212.42 + 3832.03i 0.0313379 + 0.0542788i
\(88\) −11068.1 + 19170.6i −0.152359 + 0.263894i
\(89\) −85277.6 71556.4i −1.14120 0.957577i −0.141719 0.989907i \(-0.545263\pi\)
−0.999477 + 0.0323300i \(0.989707\pi\)
\(90\) 48397.9 + 17615.4i 0.629825 + 0.229238i
\(91\) −110488. + 40214.2i −1.39865 + 0.509068i
\(92\) −14593.7 + 12245.5i −0.179761 + 0.150837i
\(93\) 12008.5 + 68103.6i 0.143973 + 0.816512i
\(94\) −84760.6 −0.989406
\(95\) 36447.1 + 145833.i 0.414337 + 1.65786i
\(96\) 10652.2 0.117967
\(97\) 16843.0 + 95521.2i 0.181756 + 1.03079i 0.930053 + 0.367426i \(0.119761\pi\)
−0.748297 + 0.663364i \(0.769128\pi\)
\(98\) 113738. 95437.1i 1.19630 1.00381i
\(99\) 43808.9 15945.1i 0.449236 0.163509i
\(100\) −90218.4 32836.8i −0.902184 0.328368i
\(101\) −130300. 109334.i −1.27098 1.06648i −0.994421 0.105485i \(-0.966361\pi\)
−0.276562 0.960996i \(-0.589195\pi\)
\(102\) 16583.4 28723.3i 0.157824 0.273360i
\(103\) 36285.5 + 62848.3i 0.337008 + 0.583714i 0.983868 0.178894i \(-0.0572519\pi\)
−0.646861 + 0.762608i \(0.723919\pi\)
\(104\) 5627.06 31912.6i 0.0510150 0.289320i
\(105\) 40071.3 227256.i 0.354699 2.01160i
\(106\) 58183.5 + 100777.i 0.502962 + 0.871156i
\(107\) 34010.7 58908.3i 0.287181 0.497413i −0.685955 0.727644i \(-0.740615\pi\)
0.973136 + 0.230232i \(0.0739485\pi\)
\(108\) −48168.1 40417.9i −0.397375 0.333437i
\(109\) 18213.7 + 6629.24i 0.146836 + 0.0534438i 0.414392 0.910098i \(-0.363994\pi\)
−0.267557 + 0.963542i \(0.586216\pi\)
\(110\) −124194. + 45202.8i −0.978629 + 0.356192i
\(111\) −62562.7 + 52496.4i −0.481957 + 0.404410i
\(112\) 10323.0 + 58544.8i 0.0777610 + 0.441005i
\(113\) −128260. −0.944917 −0.472458 0.881353i \(-0.656633\pi\)
−0.472458 + 0.881353i \(0.656633\pi\)
\(114\) 6807.62 65121.0i 0.0490606 0.469309i
\(115\) −113742. −0.802001
\(116\) −1181.82 6702.42i −0.00815465 0.0462473i
\(117\) −52280.1 + 43868.2i −0.353079 + 0.296269i
\(118\) −35130.4 + 12786.4i −0.232262 + 0.0845365i
\(119\) 173936. + 63307.5i 1.12596 + 0.409815i
\(120\) 48719.2 + 40880.3i 0.308850 + 0.259156i
\(121\) 20709.1 35869.3i 0.128588 0.222720i
\(122\) 16642.0 + 28824.7i 0.101229 + 0.175334i
\(123\) −29046.6 + 164732.i −0.173114 + 0.981780i
\(124\) 18470.2 104750.i 0.107874 0.611784i
\(125\) −137346. 237891.i −0.786215 1.36176i
\(126\) 62600.6 108427.i 0.351279 0.608433i
\(127\) 72717.5 + 61017.2i 0.400064 + 0.335694i 0.820518 0.571620i \(-0.193685\pi\)
−0.420454 + 0.907314i \(0.638129\pi\)
\(128\) −15395.9 5603.66i −0.0830579 0.0302306i
\(129\) −126318. + 45976.0i −0.668330 + 0.243252i
\(130\) 148209. 124362.i 0.769158 0.645400i
\(131\) 46092.4 + 261403.i 0.234666 + 1.33086i 0.843315 + 0.537419i \(0.180601\pi\)
−0.608649 + 0.793440i \(0.708288\pi\)
\(132\) 57568.2 0.287573
\(133\) 364506. 25693.9i 1.78680 0.125951i
\(134\) −57388.2 −0.276096
\(135\) −65190.6 369714.i −0.307858 1.74595i
\(136\) −39078.8 + 32791.0i −0.181173 + 0.152022i
\(137\) 65423.5 23812.2i 0.297805 0.108392i −0.188796 0.982016i \(-0.560459\pi\)
0.486601 + 0.873624i \(0.338236\pi\)
\(138\) 46555.8 + 16944.9i 0.208102 + 0.0757429i
\(139\) 283037. + 237497.i 1.24253 + 1.04261i 0.997322 + 0.0731356i \(0.0233006\pi\)
0.245208 + 0.969471i \(0.421144\pi\)
\(140\) −177466. + 307381.i −0.765237 + 1.32543i
\(141\) 110215. + 190898.i 0.466868 + 0.808638i
\(142\) −21671.4 + 122905.i −0.0901916 + 0.511502i
\(143\) 30410.7 172468.i 0.124362 0.705289i
\(144\) 17252.9 + 29882.9i 0.0693355 + 0.120093i
\(145\) 20317.0 35190.1i 0.0802489 0.138995i
\(146\) 6104.71 + 5122.46i 0.0237019 + 0.0198882i
\(147\) −362838. 132062.i −1.38490 0.504064i
\(148\) 118040. 42963.1i 0.442972 0.161228i
\(149\) 8308.13 6971.35i 0.0306576 0.0257247i −0.627330 0.778753i \(-0.715852\pi\)
0.657988 + 0.753029i \(0.271408\pi\)
\(150\) 43356.8 + 245889.i 0.157336 + 0.892298i
\(151\) 33593.4 0.119898 0.0599489 0.998201i \(-0.480906\pi\)
0.0599489 + 0.998201i \(0.480906\pi\)
\(152\) −44096.8 + 90540.5i −0.154810 + 0.317858i
\(153\) 107438. 0.371048
\(154\) 55789.5 + 316398.i 0.189562 + 1.07506i
\(155\) 486479. 408204.i 1.62643 1.36473i
\(156\) −79190.7 + 28823.1i −0.260533 + 0.0948262i
\(157\) −537140. 195503.i −1.73915 0.633001i −0.739942 0.672671i \(-0.765147\pi\)
−0.999213 + 0.0396702i \(0.987369\pi\)
\(158\) −29487.4 24742.9i −0.0939710 0.0788510i
\(159\) 151313. 262083.i 0.474662 0.822139i
\(160\) −48910.1 84714.9i −0.151042 0.261613i
\(161\) −48012.9 + 272295.i −0.145980 + 0.827893i
\(162\) −5645.40 + 32016.6i −0.0169008 + 0.0958491i
\(163\) −220528. 381966.i −0.650123 1.12605i −0.983093 0.183108i \(-0.941384\pi\)
0.332970 0.942937i \(-0.391949\pi\)
\(164\) 128641. 222812.i 0.373481 0.646888i
\(165\) 263297. + 220932.i 0.752897 + 0.631755i
\(166\) 128473. + 46760.3i 0.361860 + 0.131706i
\(167\) 30358.4 11049.6i 0.0842341 0.0306587i −0.299559 0.954078i \(-0.596840\pi\)
0.383793 + 0.923419i \(0.374617\pi\)
\(168\) 118432. 99376.1i 0.323739 0.271649i
\(169\) −19956.7 113180.i −0.0537492 0.304827i
\(170\) −304576. −0.808302
\(171\) 193712. 86376.4i 0.506602 0.225894i
\(172\) 206758. 0.532894
\(173\) −24329.4 137979.i −0.0618040 0.350508i −0.999990 0.00437739i \(-0.998607\pi\)
0.938186 0.346130i \(-0.112504\pi\)
\(174\) −13558.5 + 11376.9i −0.0339499 + 0.0284874i
\(175\) −1.30940e6 + 476582.i −3.23204 + 1.17637i
\(176\) −83205.3 30284.2i −0.202474 0.0736945i
\(177\) 74478.1 + 62494.6i 0.178688 + 0.149937i
\(178\) 222644. 385631.i 0.526697 0.912267i
\(179\) −102543. 177610.i −0.239208 0.414320i 0.721279 0.692644i \(-0.243554\pi\)
−0.960487 + 0.278324i \(0.910221\pi\)
\(180\) −35774.3 + 202886.i −0.0822981 + 0.466736i
\(181\) −103636. + 587749.i −0.235133 + 1.33351i 0.607200 + 0.794549i \(0.292293\pi\)
−0.842333 + 0.538957i \(0.818818\pi\)
\(182\) −235157. 407304.i −0.526235 0.911465i
\(183\) 43279.4 74962.2i 0.0955331 0.165468i
\(184\) −58374.7 48982.2i −0.127110 0.106658i
\(185\) 704757. + 256510.i 1.51394 + 0.551031i
\(186\) −259935. + 94608.5i −0.550912 + 0.200515i
\(187\) −211196. + 177215.i −0.441654 + 0.370591i
\(188\) −58874.1 333892.i −0.121487 0.688987i
\(189\) −912605. −1.85835
\(190\) −549155. + 244868.i −1.10360 + 0.492094i
\(191\) 374224. 0.742246 0.371123 0.928584i \(-0.378973\pi\)
0.371123 + 0.928584i \(0.378973\pi\)
\(192\) 7398.91 + 41961.3i 0.0144849 + 0.0821478i
\(193\) 141787. 118974.i 0.273996 0.229910i −0.495427 0.868650i \(-0.664988\pi\)
0.769423 + 0.638740i \(0.220544\pi\)
\(194\) −364581. + 132697.i −0.695488 + 0.253137i
\(195\) −472806. 172087.i −0.890424 0.324088i
\(196\) 454950. + 381749.i 0.845909 + 0.709802i
\(197\) −74759.7 + 129488.i −0.137247 + 0.237718i −0.926453 0.376409i \(-0.877159\pi\)
0.789207 + 0.614128i \(0.210492\pi\)
\(198\) 93240.9 + 161498.i 0.169022 + 0.292755i
\(199\) −53122.9 + 301275.i −0.0950931 + 0.539300i 0.899626 + 0.436662i \(0.143839\pi\)
−0.994719 + 0.102638i \(0.967272\pi\)
\(200\) 66686.8 378199.i 0.117887 0.668568i
\(201\) 74622.6 + 129250.i 0.130281 + 0.225653i
\(202\) 340188. 589223.i 0.586598 1.01602i
\(203\) −75667.8 63492.8i −0.128876 0.108140i
\(204\) 124667. + 45374.9i 0.209737 + 0.0763380i
\(205\) 1.44345e6 525374.i 2.39893 0.873141i
\(206\) −222370. + 186591.i −0.365097 + 0.306353i
\(207\) 27868.4 + 158050.i 0.0452050 + 0.256370i
\(208\) 129620. 0.207736
\(209\) −238315. + 489314.i −0.377386 + 0.774858i
\(210\) 923046. 1.44436
\(211\) 140609. + 797436.i 0.217424 + 1.23308i 0.876649 + 0.481130i \(0.159773\pi\)
−0.659225 + 0.751946i \(0.729116\pi\)
\(212\) −356569. + 299197.i −0.544884 + 0.457212i
\(213\) 304986. 111006.i 0.460608 0.167647i
\(214\) 255677. + 93058.8i 0.381643 + 0.138907i
\(215\) 945637. + 793484.i 1.39517 + 1.17069i
\(216\) 125758. 217819.i 0.183401 0.317660i
\(217\) −771877. 1.33693e6i −1.11275 1.92734i
\(218\) −13463.0 + 76352.5i −0.0191867 + 0.108813i
\(219\) 3598.81 20409.8i 0.00507047 0.0287561i
\(220\) −264328. 457830.i −0.368203 0.637746i
\(221\) 201794. 349517.i 0.277925 0.481380i
\(222\) −250251. 209985.i −0.340795 0.285961i
\(223\) −596319. 217042.i −0.803002 0.292269i −0.0922719 0.995734i \(-0.529413\pi\)
−0.710730 + 0.703465i \(0.751635\pi\)
\(224\) −223451. + 81329.6i −0.297552 + 0.108300i
\(225\) −619577. + 519887.i −0.815904 + 0.684624i
\(226\) −89088.1 505244.i −0.116024 0.658006i
\(227\) −93859.7 −0.120897 −0.0604484 0.998171i \(-0.519253\pi\)
−0.0604484 + 0.998171i \(0.519253\pi\)
\(228\) 261255. 18415.8i 0.332834 0.0234614i
\(229\) 176185. 0.222014 0.111007 0.993820i \(-0.464592\pi\)
0.111007 + 0.993820i \(0.464592\pi\)
\(230\) −79004.1 448055.i −0.0984759 0.558485i
\(231\) 640049. 537065.i 0.789193 0.662212i
\(232\) 25581.5 9310.91i 0.0312037 0.0113572i
\(233\) 212521. + 77351.4i 0.256456 + 0.0933423i 0.467049 0.884232i \(-0.345317\pi\)
−0.210593 + 0.977574i \(0.567539\pi\)
\(234\) −209121. 175473.i −0.249665 0.209493i
\(235\) 1.01212e6 1.75305e6i 1.19554 2.07073i
\(236\) −74770.0 129505.i −0.0873871 0.151359i
\(237\) −17383.2 + 98585.2i −0.0201029 + 0.114009i
\(238\) −128568. + 729147.i −0.147127 + 0.834397i
\(239\) 171998. + 297910.i 0.194773 + 0.337357i 0.946826 0.321746i \(-0.104270\pi\)
−0.752053 + 0.659103i \(0.770936\pi\)
\(240\) −127197. + 220311.i −0.142544 + 0.246893i
\(241\) 1.21561e6 + 1.02001e6i 1.34819 + 1.13126i 0.979441 + 0.201732i \(0.0646571\pi\)
0.368746 + 0.929530i \(0.379787\pi\)
\(242\) 155682. + 56663.6i 0.170883 + 0.0621964i
\(243\) −817934. + 297704.i −0.888593 + 0.323421i
\(244\) −101988. + 85577.9i −0.109666 + 0.0920211i
\(245\) 615728. + 3.49197e6i 0.655351 + 3.71668i
\(246\) −669092. −0.704933
\(247\) 82837.8 792419.i 0.0863946 0.826442i
\(248\) 425462. 0.439270
\(249\) −61740.9 350150.i −0.0631066 0.357895i
\(250\) 841706. 706275.i 0.851747 0.714700i
\(251\) −700980. + 255136.i −0.702298 + 0.255616i −0.668392 0.743809i \(-0.733017\pi\)
−0.0339063 + 0.999425i \(0.510795\pi\)
\(252\) 470603. + 171285.i 0.466824 + 0.169910i
\(253\) −315478. 264718.i −0.309862 0.260005i
\(254\) −189852. + 328833.i −0.184642 + 0.319809i
\(255\) 396044. + 685968.i 0.381411 + 0.660623i
\(256\) 11380.2 64540.4i 0.0108530 0.0615505i
\(257\) 334499. 1.89704e6i 0.315909 1.79161i −0.251170 0.967943i \(-0.580815\pi\)
0.567079 0.823664i \(-0.308074\pi\)
\(258\) −268849. 465661.i −0.251455 0.435532i
\(259\) 911573. 1.57889e6i 0.844388 1.46252i
\(260\) 592835. + 497448.i 0.543877 + 0.456367i
\(261\) −53876.3 19609.4i −0.0489549 0.0178181i
\(262\) −997710. + 363137.i −0.897948 + 0.326826i
\(263\) −738941. + 620045.i −0.658750 + 0.552757i −0.909712 0.415240i \(-0.863698\pi\)
0.250962 + 0.967997i \(0.419253\pi\)
\(264\) 39986.4 + 226774.i 0.0353104 + 0.200255i
\(265\) −2.77907e6 −2.43100
\(266\) 354397. + 1.41803e6i 0.307105 + 1.22880i
\(267\) −1.15803e6 −0.994124
\(268\) −39861.4 226066.i −0.0339013 0.192264i
\(269\) −1.23381e6 + 1.03529e6i −1.03960 + 0.872329i −0.991962 0.126536i \(-0.959614\pi\)
−0.0476386 + 0.998865i \(0.515170\pi\)
\(270\) 1.41111e6 513602.i 1.17802 0.428763i
\(271\) −1.06796e6 388705.i −0.883347 0.321512i −0.139787 0.990182i \(-0.544642\pi\)
−0.743560 + 0.668670i \(0.766864\pi\)
\(272\) −156315. 131164.i −0.128109 0.107496i
\(273\) −611555. + 1.05924e6i −0.496625 + 0.860180i
\(274\) 139244. + 241178.i 0.112047 + 0.194072i
\(275\) 360400. 2.04393e6i 0.287378 1.62980i
\(276\) −34412.7 + 195164.i −0.0271923 + 0.154215i
\(277\) −324224. 561573.i −0.253890 0.439751i 0.710703 0.703492i \(-0.248377\pi\)
−0.964593 + 0.263741i \(0.915044\pi\)
\(278\) −738958. + 1.27991e6i −0.573466 + 0.993273i
\(279\) −686415. 575971.i −0.527930 0.442986i
\(280\) −1.33411e6 485576.i −1.01694 0.370137i
\(281\) 471559. 171633.i 0.356262 0.129669i −0.157688 0.987489i \(-0.550404\pi\)
0.513950 + 0.857820i \(0.328182\pi\)
\(282\) −675438. + 566760.i −0.505781 + 0.424401i
\(283\) 237745. + 1.34832e6i 0.176460 + 1.00075i 0.936445 + 0.350813i \(0.114095\pi\)
−0.759986 + 0.649940i \(0.774794\pi\)
\(284\) −499203. −0.367266
\(285\) 1.26557e6 + 918405.i 0.922938 + 0.669764i
\(286\) 700513. 0.506408
\(287\) −648418. 3.67736e6i −0.464676 2.63531i
\(288\) −105732. + 88719.5i −0.0751146 + 0.0630286i
\(289\) 737194. 268317.i 0.519203 0.188975i
\(290\) 152734. + 55590.6i 0.106645 + 0.0388156i
\(291\) 772929. + 648565.i 0.535066 + 0.448974i
\(292\) −15938.3 + 27605.9i −0.0109392 + 0.0189472i
\(293\) 342358. + 592981.i 0.232976 + 0.403526i 0.958683 0.284478i \(-0.0918203\pi\)
−0.725707 + 0.688004i \(0.758487\pi\)
\(294\) 268199. 1.52103e6i 0.180963 1.02629i
\(295\) 155037. 879261.i 0.103725 0.588251i
\(296\) 251232. + 435146.i 0.166665 + 0.288673i
\(297\) 679643. 1.17718e6i 0.447084 0.774373i
\(298\) 33232.5 + 27885.4i 0.0216782 + 0.0181901i
\(299\) 566510. + 206193.i 0.366462 + 0.133381i
\(300\) −938496. + 341585.i −0.602046 + 0.219127i
\(301\) 2.29875e6 1.92888e6i 1.46243 1.22713i
\(302\) 23333.7 + 132332.i 0.0147220 + 0.0834925i
\(303\) −1.76940e6 −1.10718
\(304\) −387289. 110819.i −0.240354 0.0687747i
\(305\) −794883. −0.489276
\(306\) 74625.8 + 423224.i 0.0455602 + 0.258384i
\(307\) −1.09761e6 + 921003.i −0.664663 + 0.557718i −0.911480 0.411344i \(-0.865060\pi\)
0.246818 + 0.969062i \(0.420615\pi\)
\(308\) −1.20761e6 + 439535.i −0.725355 + 0.264008i
\(309\) 709391. + 258197.i 0.422659 + 0.153835i
\(310\) 1.94592e6 + 1.63282e6i 1.15006 + 0.965013i
\(311\) 143288. 248182.i 0.0840058 0.145502i −0.820961 0.570984i \(-0.806562\pi\)
0.904967 + 0.425481i \(0.139895\pi\)
\(312\) −168546. 291930.i −0.0980239 0.169782i
\(313\) 56655.0 321306.i 0.0326871 0.185378i −0.964093 0.265566i \(-0.914441\pi\)
0.996780 + 0.0801883i \(0.0255522\pi\)
\(314\) 397038. 2.25171e6i 0.227252 1.28881i
\(315\) 1.49502e6 + 2.58945e6i 0.848929 + 1.47039i
\(316\) 76986.2 133344.i 0.0433706 0.0751200i
\(317\) 2.33170e6 + 1.95653e6i 1.30324 + 1.09355i 0.989575 + 0.144016i \(0.0460018\pi\)
0.313666 + 0.949533i \(0.398443\pi\)
\(318\) 1.13750e6 + 414018.i 0.630791 + 0.229589i
\(319\) 138252. 50319.6i 0.0760667 0.0276860i
\(320\) 299739. 251511.i 0.163632 0.137303i
\(321\) −122872. 696842.i −0.0665565 0.377461i
\(322\) −1.10598e6 −0.594440
\(323\) −901758. + 871794.i −0.480932 + 0.464951i
\(324\) −130042. −0.0688211
\(325\) 527583. + 2.99207e6i 0.277065 + 1.57132i
\(326\) 1.35148e6 1.13402e6i 0.704311 0.590987i
\(327\) 189468. 68960.6i 0.0979864 0.0356641i
\(328\) 967061. + 351981.i 0.496329 + 0.180649i
\(329\) −3.76951e6 3.16300e6i −1.91997 1.61105i
\(330\) −687419. + 1.19064e6i −0.347485 + 0.601862i
\(331\) 1.13151e6 + 1.95983e6i 0.567660 + 0.983216i 0.996797 + 0.0799763i \(0.0254845\pi\)
−0.429137 + 0.903239i \(0.641182\pi\)
\(332\) −94963.2 + 538563.i −0.0472836 + 0.268158i
\(333\) 183758. 1.04214e6i 0.0908104 0.515012i
\(334\) 64613.5 + 111914.i 0.0316926 + 0.0548931i
\(335\) 685270. 1.18692e6i 0.333618 0.577844i
\(336\) 473727. + 397504.i 0.228918 + 0.192085i
\(337\) −2.19900e6 800372.i −1.05475 0.383899i −0.244299 0.969700i \(-0.578558\pi\)
−0.810455 + 0.585801i \(0.800780\pi\)
\(338\) 431981. 157228.i 0.205671 0.0748581i
\(339\) −1.02207e6 + 857619.i −0.483038 + 0.405317i
\(340\) −211556. 1.19980e6i −0.0992496 0.562872i
\(341\) 2.29936e6 1.07083
\(342\) 474808. + 703082.i 0.219509 + 0.325043i
\(343\) 4.71670e6 2.16472
\(344\) 143612. + 814466.i 0.0654328 + 0.371088i
\(345\) −906381. + 760544.i −0.409980 + 0.344014i
\(346\) 526632. 191678.i 0.236492 0.0860761i
\(347\) 1.51782e6 + 552440.i 0.676699 + 0.246298i 0.657430 0.753516i \(-0.271644\pi\)
0.0192697 + 0.999814i \(0.493866\pi\)
\(348\) −54234.0 45507.7i −0.0240062 0.0201436i
\(349\) −24939.1 + 43195.8i −0.0109602 + 0.0189836i −0.871453 0.490478i \(-0.836822\pi\)
0.860493 + 0.509462i \(0.170155\pi\)
\(350\) −2.78687e6 4.82700e6i −1.21604 2.10624i
\(351\) −345531. + 1.95960e6i −0.149699 + 0.848986i
\(352\) 61502.8 348800.i 0.0264569 0.150044i
\(353\) −1.73342e6 3.00236e6i −0.740399 1.28241i −0.952314 0.305121i \(-0.901303\pi\)
0.211914 0.977288i \(-0.432030\pi\)
\(354\) −194449. + 336795.i −0.0824701 + 0.142842i
\(355\) −2.28318e6 1.91581e6i −0.961544 0.806831i
\(356\) 1.67374e6 + 609190.i 0.699942 + 0.254758i
\(357\) 1.80937e6 658556.i 0.751375 0.273478i
\(358\) 628423. 527309.i 0.259146 0.217449i
\(359\) 517447. + 2.93459e6i 0.211899 + 1.20174i 0.886207 + 0.463290i \(0.153331\pi\)
−0.674307 + 0.738451i \(0.735558\pi\)
\(360\) −824063. −0.335123
\(361\) −924990. + 2.29684e6i −0.373568 + 0.927603i
\(362\) −2.38726e6 −0.957478
\(363\) −74816.9 424308.i −0.0298012 0.169011i
\(364\) 1.44113e6 1.20925e6i 0.570097 0.478368i
\(365\) −178840. + 65092.6i −0.0702641 + 0.0255740i
\(366\) 325355. + 118420.i 0.126956 + 0.0462084i
\(367\) 1.71469e6 + 1.43880e6i 0.664540 + 0.557615i 0.911444 0.411425i \(-0.134969\pi\)
−0.246904 + 0.969040i \(0.579413\pi\)
\(368\) 152405. 263974.i 0.0586653 0.101611i
\(369\) −1.08370e6 1.87703e6i −0.414328 0.717637i
\(370\) −520935. + 2.95437e6i −0.197824 + 1.12192i
\(371\) −1.17311e6 + 6.65301e6i −0.442489 + 2.50948i
\(372\) −553234. 958229.i −0.207277 0.359014i
\(373\) −556669. + 964179.i −0.207169 + 0.358827i −0.950822 0.309739i \(-0.899758\pi\)
0.743653 + 0.668566i \(0.233092\pi\)
\(374\) −844784. 708858.i −0.312296 0.262048i
\(375\) −2.68516e6 977317.i −0.986033 0.358887i
\(376\) 1.27438e6 463837.i 0.464869 0.169198i
\(377\) −164985. + 138439.i −0.0597850 + 0.0501655i
\(378\) −633889. 3.59496e6i −0.228183 1.29409i
\(379\) 3.21599e6 1.15005 0.575026 0.818135i \(-0.304992\pi\)
0.575026 + 0.818135i \(0.304992\pi\)
\(380\) −1.34603e6 1.99316e6i −0.478185 0.708083i
\(381\) 987467. 0.348506
\(382\) 259933. + 1.47415e6i 0.0911388 + 0.516874i
\(383\) 376741. 316123.i 0.131234 0.110118i −0.574808 0.818288i \(-0.694923\pi\)
0.706042 + 0.708170i \(0.250479\pi\)
\(384\) −160156. + 58292.0i −0.0554262 + 0.0201735i
\(385\) −7.21002e6 2.62423e6i −2.47905 0.902300i
\(386\) 567149. + 475894.i 0.193744 + 0.162571i
\(387\) 870890. 1.50843e6i 0.295587 0.511972i
\(388\) −775958. 1.34400e6i −0.261673 0.453231i
\(389\) −364860. + 2.06922e6i −0.122251 + 0.693319i 0.860652 + 0.509194i \(0.170056\pi\)
−0.982903 + 0.184125i \(0.941055\pi\)
\(390\) 349484. 1.98202e6i 0.116350 0.659853i
\(391\) −474534. 821917.i −0.156973 0.271886i
\(392\) −1.18779e6 + 2.05731e6i −0.390413 + 0.676216i
\(393\) 2.11519e6 + 1.77486e6i 0.690826 + 0.579672i
\(394\) −562009. 204555.i −0.182391 0.0663848i
\(395\) 863848. 314415.i 0.278577 0.101394i
\(396\) −571414. + 479473.i −0.183110 + 0.153648i
\(397\) −915286. 5.19085e6i −0.291461 1.65296i −0.681247 0.732053i \(-0.738562\pi\)
0.389786 0.920905i \(-0.372549\pi\)
\(398\) −1.22369e6 −0.387225
\(399\) 2.73286e6 2.64205e6i 0.859380 0.830824i
\(400\) 1.53614e6 0.480042
\(401\) −716197. 4.06176e6i −0.222419 1.26140i −0.867558 0.497335i \(-0.834312\pi\)
0.645140 0.764065i \(-0.276799\pi\)
\(402\) −457314. + 383732.i −0.141140 + 0.118430i
\(403\) −3.16299e6 + 1.15123e6i −0.970142 + 0.353103i
\(404\) 2.55738e6 + 930809.i 0.779545 + 0.283731i
\(405\) −594767. 499069.i −0.180181 0.151190i
\(406\) 197555. 342175.i 0.0594802 0.103023i
\(407\) 1.35775e6 + 2.35169e6i 0.406287 + 0.703710i
\(408\) −92149.8 + 522608.i −0.0274059 + 0.155427i
\(409\) −818265. + 4.64061e6i −0.241872 + 1.37172i 0.585774 + 0.810474i \(0.300790\pi\)
−0.827646 + 0.561250i \(0.810321\pi\)
\(410\) 3.07218e6 + 5.32118e6i 0.902584 + 1.56332i
\(411\) 362122. 627214.i 0.105743 0.183152i
\(412\) −889481. 746363.i −0.258163 0.216624i
\(413\) −2.03948e6 742311.i −0.588363 0.214146i
\(414\) −603237. + 219560.i −0.172977 + 0.0629583i
\(415\) −2.50120e6 + 2.09875e6i −0.712899 + 0.598193i
\(416\) 90032.9 + 510602.i 0.0255075 + 0.144660i
\(417\) 3.84350e6 1.08240
\(418\) −2.09305e6 598905.i −0.585922 0.167655i
\(419\) −3.47084e6 −0.965827 −0.482914 0.875668i \(-0.660422\pi\)
−0.482914 + 0.875668i \(0.660422\pi\)
\(420\) 641141. + 3.63609e6i 0.177350 + 1.00580i
\(421\) −913302. + 766352.i −0.251136 + 0.210728i −0.759661 0.650319i \(-0.774635\pi\)
0.508525 + 0.861047i \(0.330191\pi\)
\(422\) −3.04362e6 + 1.10779e6i −0.831972 + 0.302813i
\(423\) −2.68393e6 976872.i −0.729324 0.265452i
\(424\) −1.42628e6 1.19679e6i −0.385291 0.323298i
\(425\) 2.39148e6 4.14216e6i 0.642235 1.11238i
\(426\) 649119. + 1.12431e6i 0.173301 + 0.300166i
\(427\) −335538. + 1.90293e6i −0.0890578 + 0.505072i
\(428\) −188989. + 1.07181e6i −0.0498685 + 0.282818i
\(429\) −910885. 1.57770e6i −0.238957 0.413886i
\(430\) −2.46888e6 + 4.27623e6i −0.643916 + 1.11530i
\(431\) −520370. 436642.i −0.134933 0.113222i 0.572823 0.819679i \(-0.305848\pi\)
−0.707756 + 0.706457i \(0.750293\pi\)
\(432\) 945391. + 344094.i 0.243726 + 0.0887091i
\(433\) 6.71147e6 2.44277e6i 1.72027 0.626129i 0.722411 0.691464i \(-0.243034\pi\)
0.997863 + 0.0653358i \(0.0208118\pi\)
\(434\) 4.73034e6 3.96922e6i 1.20550 1.01154i
\(435\) −73400.2 416273.i −0.0185983 0.105476i
\(436\) −310121. −0.0781296
\(437\) −1.51638e6 1.10042e6i −0.379844 0.275648i
\(438\) 82898.8 0.0206473
\(439\) 280663. + 1.59172e6i 0.0695063 + 0.394190i 0.999637 + 0.0269599i \(0.00858263\pi\)
−0.930130 + 0.367230i \(0.880306\pi\)
\(440\) 1.61990e6 1.35926e6i 0.398893 0.334711i
\(441\) 4.70140e6 1.71117e6i 1.15115 0.418983i
\(442\) 1.51699e6 + 552140.i 0.369341 + 0.134429i
\(443\) −2.41906e6 2.02983e6i −0.585649 0.491418i 0.301148 0.953578i \(-0.402630\pi\)
−0.886797 + 0.462160i \(0.847075\pi\)
\(444\) 653359. 1.13165e6i 0.157288 0.272430i
\(445\) 5.31717e6 + 9.20960e6i 1.27286 + 2.20466i
\(446\) 440781. 2.49979e6i 0.104927 0.595069i
\(447\) 19591.0 111106.i 0.00463755 0.0263008i
\(448\) −475584. 823735.i −0.111952 0.193907i
\(449\) −739753. + 1.28129e6i −0.173169 + 0.299938i −0.939526 0.342477i \(-0.888734\pi\)
0.766357 + 0.642415i \(0.222067\pi\)
\(450\) −2.47831e6 2.07955e6i −0.576931 0.484103i
\(451\) 5.22636e6 + 1.90224e6i 1.20992 + 0.440376i
\(452\) 1.92839e6 701877.i 0.443966 0.161590i
\(453\) 267698. 224625.i 0.0612914 0.0514296i
\(454\) −65194.3 369735.i −0.0148446 0.0841882i
\(455\) 1.12320e7 2.54348
\(456\) 254010. + 1.01635e6i 0.0572057 + 0.228893i
\(457\) −5.30763e6 −1.18880 −0.594402 0.804168i \(-0.702611\pi\)
−0.594402 + 0.804168i \(0.702611\pi\)
\(458\) 122377. + 694033.i 0.0272606 + 0.154602i
\(459\) 2.39964e6 2.01354e6i 0.531637 0.446096i
\(460\) 1.71011e6 622431.i 0.376817 0.137150i
\(461\) 1.45455e6 + 529412.i 0.318769 + 0.116022i 0.496449 0.868066i \(-0.334637\pi\)
−0.177680 + 0.984088i \(0.556859\pi\)
\(462\) 2.56020e6 + 2.14826e6i 0.558044 + 0.468254i
\(463\) −3.66099e6 + 6.34102e6i −0.793682 + 1.37470i 0.129991 + 0.991515i \(0.458505\pi\)
−0.923673 + 0.383182i \(0.874828\pi\)
\(464\) 54446.5 + 94304.2i 0.0117402 + 0.0203346i
\(465\) 1.14714e6 6.50577e6i 0.246028 1.39530i
\(466\) −157089. + 890898.i −0.0335106 + 0.190048i
\(467\) −3.45787e6 5.98920e6i −0.733696 1.27080i −0.955293 0.295661i \(-0.904460\pi\)
0.221597 0.975138i \(-0.428873\pi\)
\(468\) 545975. 945656.i 0.115228 0.199581i
\(469\) −2.55219e6 2.14155e6i −0.535774 0.449568i
\(470\) 7.60867e6 + 2.76933e6i 1.58878 + 0.578269i
\(471\) −5.58759e6 + 2.03372e6i −1.16057 + 0.422414i
\(472\) 458217. 384490.i 0.0946709 0.0794383i
\(473\) 776134. + 4.40168e6i 0.159509 + 0.904618i
\(474\) −400424. −0.0818605
\(475\) 981719. 9.39103e6i 0.199643 1.90976i
\(476\) −2.96158e6 −0.599110
\(477\) 680914. + 3.86165e6i 0.137024 + 0.777101i
\(478\) −1.05407e6 + 884467.i −0.211008 + 0.177056i
\(479\) −3.03208e6 + 1.10359e6i −0.603812 + 0.219769i −0.625793 0.779989i \(-0.715225\pi\)
0.0219817 + 0.999758i \(0.493002\pi\)
\(480\) −956208. 348031.i −0.189430 0.0689469i
\(481\) −3.04515e6 2.55519e6i −0.600132 0.503570i
\(482\) −3.17372e6 + 5.49704e6i −0.622230 + 1.07773i
\(483\) 1.43812e6 + 2.49090e6i 0.280496 + 0.485834i
\(484\) −115075. + 652625.i −0.0223290 + 0.126634i
\(485\) 1.60897e6 9.12491e6i 0.310594 1.76147i
\(486\) −1.74085e6 3.01525e6i −0.334327 0.579072i
\(487\) 2.32496e6 4.02695e6i 0.444215 0.769403i −0.553782 0.832662i \(-0.686816\pi\)
0.997997 + 0.0632585i \(0.0201493\pi\)
\(488\) −407951. 342312.i −0.0775459 0.0650687i
\(489\) −4.31139e6 1.56922e6i −0.815353 0.296764i
\(490\) −1.33280e7 + 4.85099e6i −2.50769 + 0.912726i
\(491\) 6.31047e6 5.29511e6i 1.18129 0.991223i 0.181324 0.983423i \(-0.441962\pi\)
0.999970 0.00779921i \(-0.00248259\pi\)
\(492\) −464746. 2.63571e6i −0.0865572 0.490890i
\(493\) 339053. 0.0628275
\(494\) 3.17906e6 224091.i 0.586113 0.0413149i
\(495\) −4.45354e6 −0.816945
\(496\) 295523. + 1.67599e6i 0.0539370 + 0.305892i
\(497\) −5.55019e6 + 4.65716e6i −1.00790 + 0.845727i
\(498\) 1.33644e6 486423.i 0.241477 0.0878903i
\(499\) 3.50496e6 + 1.27570e6i 0.630132 + 0.229349i 0.637289 0.770625i \(-0.280056\pi\)
−0.00715690 + 0.999974i \(0.502278\pi\)
\(500\) 3.36682e6 + 2.82510e6i 0.602276 + 0.505369i
\(501\) 168035. 291046.i 0.0299093 0.0518045i
\(502\) −1.49194e6 2.58411e6i −0.264235 0.457669i
\(503\) −263345. + 1.49351e6i −0.0464094 + 0.263201i −0.999180 0.0404905i \(-0.987108\pi\)
0.952771 + 0.303691i \(0.0982191\pi\)
\(504\) −347855. + 1.97279e6i −0.0609990 + 0.345942i
\(505\) 8.12434e6 + 1.40718e7i 1.41762 + 2.45539i
\(506\) 823655. 1.42661e6i 0.143011 0.247702i
\(507\) −915820. 768464.i −0.158230 0.132771i
\(508\) −1.42722e6 519465.i −0.245376 0.0893094i
\(509\) −1.05585e7 + 3.84299e6i −1.80638 + 0.657468i −0.808787 + 0.588102i \(0.799875\pi\)
−0.997591 + 0.0693661i \(0.977902\pi\)
\(510\) −2.42710e6 + 2.03658e6i −0.413201 + 0.346717i
\(511\) 80337.4 + 455616.i 0.0136102 + 0.0771875i
\(512\) 262144. 0.0441942
\(513\) 2.70778e6 5.55966e6i 0.454275 0.932728i
\(514\) 7.70520e6 1.28640
\(515\) −1.20382e6 6.82721e6i −0.200006 1.13429i
\(516\) 1.64760e6 1.38250e6i 0.272414 0.228582i
\(517\) 6.88724e6 2.50675e6i 1.13323 0.412462i
\(518\) 6.85278e6 + 2.49421e6i 1.12213 + 0.408421i
\(519\) −1.11648e6 936842.i −0.181943 0.152668i
\(520\) −1.54778e6 + 2.68084e6i −0.251016 + 0.434773i
\(521\) −2.49978e6 4.32975e6i −0.403467 0.698825i 0.590675 0.806910i \(-0.298862\pi\)
−0.994142 + 0.108084i \(0.965528\pi\)
\(522\) 39823.8 225852.i 0.00639685 0.0362783i
\(523\) −851854. + 4.83111e6i −0.136179 + 0.772311i 0.837852 + 0.545897i \(0.183811\pi\)
−0.974031 + 0.226414i \(0.927300\pi\)
\(524\) −2.12348e6 3.67798e6i −0.337847 0.585169i
\(525\) −7.24759e6 + 1.25532e7i −1.14761 + 1.98772i
\(526\) −2.95577e6 2.48018e6i −0.465806 0.390858i
\(527\) 4.97936e6 + 1.81234e6i 0.780993 + 0.284258i
\(528\) −865542. + 315032.i −0.135115 + 0.0491778i
\(529\) −3.84451e6 + 3.22593e6i −0.597313 + 0.501205i
\(530\) −1.93032e6 1.09474e7i −0.298497 1.69286i
\(531\) −1.25976e6 −0.193889
\(532\) −5.33977e6 + 2.38100e6i −0.817982 + 0.364738i
\(533\) −8.14178e6 −1.24137
\(534\) −804357. 4.56174e6i −0.122066 0.692272i
\(535\) −4.97770e6 + 4.17678e6i −0.751872 + 0.630896i
\(536\) 862837. 314047.i 0.129723 0.0472153i
\(537\) −2.00475e6 729671.i −0.300003 0.109192i
\(538\) −4.93523e6 4.14115e6i −0.735109 0.616829i
\(539\) −6.41926e6 + 1.11185e7i −0.951728 + 1.64844i
\(540\) 3.00334e6 + 5.20194e6i 0.443221 + 0.767681i
\(541\) 665698. 3.77536e6i 0.0977877 0.554582i −0.896070 0.443913i \(-0.853590\pi\)
0.993857 0.110668i \(-0.0352991\pi\)
\(542\) 789403. 4.47693e6i 0.115425 0.654609i
\(543\) 3.10418e6 + 5.37661e6i 0.451802 + 0.782544i
\(544\) 408110. 706867.i 0.0591261 0.102409i
\(545\) −1.41839e6 1.19017e6i −0.204552 0.171639i
\(546\) −4.59739e6 1.67331e6i −0.659978 0.240212i
\(547\) 5.48073e6 1.99482e6i 0.783195 0.285060i 0.0806905 0.996739i \(-0.474287\pi\)
0.702504 + 0.711680i \(0.252065\pi\)
\(548\) −853339. + 716037.i −0.121386 + 0.101855i
\(549\) 194758. + 1.10453e6i 0.0275782 + 0.156404i
\(550\) 8.30184e6 1.17022
\(551\) 611317. 272586.i 0.0857802 0.0382494i
\(552\) −792698. −0.110729
\(553\) −388052. 2.20075e6i −0.0539606 0.306026i
\(554\) 1.98696e6 1.66726e6i 0.275052 0.230796i
\(555\) 7.33123e6 2.66835e6i 1.01029 0.367714i
\(556\) −5.55515e6 2.02191e6i −0.762094 0.277380i
\(557\) 1.12936e6 + 947643.i 0.154239 + 0.129422i 0.716641 0.697442i \(-0.245678\pi\)
−0.562403 + 0.826863i \(0.690123\pi\)
\(558\) 1.79210e6 3.10401e6i 0.243656 0.422025i
\(559\) −3.27147e6 5.66635e6i −0.442806 0.766962i
\(560\) 986134. 5.59265e6i 0.132882 0.753611i
\(561\) −498012. + 2.82436e6i −0.0668086 + 0.378890i
\(562\) 1.00364e6 + 1.73836e6i 0.134041 + 0.232167i
\(563\) 857509. 1.48525e6i 0.114016 0.197482i −0.803370 0.595481i \(-0.796962\pi\)
0.917386 + 0.397998i \(0.130295\pi\)
\(564\) −2.70175e6 2.26704e6i −0.357641 0.300097i
\(565\) 1.15134e7 + 4.19054e6i 1.51734 + 0.552267i
\(566\) −5.14621e6 + 1.87307e6i −0.675222 + 0.245761i
\(567\) −1.44582e6 + 1.21319e6i −0.188868 + 0.158479i
\(568\) −346743. 1.96647e6i −0.0450958 0.255751i
\(569\) 1.09443e7 1.41712 0.708558 0.705652i \(-0.249346\pi\)
0.708558 + 0.705652i \(0.249346\pi\)
\(570\) −2.73876e6 + 5.62327e6i −0.353074 + 0.724940i
\(571\) −7.80064e6 −1.00124 −0.500622 0.865666i \(-0.666895\pi\)
−0.500622 + 0.865666i \(0.666895\pi\)
\(572\) 486571. + 2.75948e6i 0.0621808 + 0.352645i
\(573\) 2.98210e6 2.50228e6i 0.379434 0.318383i
\(574\) 1.40356e7 5.10854e6i 1.77808 0.647168i
\(575\) 6.71376e6 + 2.44361e6i 0.846830 + 0.308221i
\(576\) −422927. 354878.i −0.0531140 0.0445680i
\(577\) 4.00071e6 6.92943e6i 0.500262 0.866478i −0.499738 0.866176i \(-0.666571\pi\)
1.00000 0.000302079i \(-9.61547e-5\pi\)
\(578\) 1.56901e6 + 2.71761e6i 0.195347 + 0.338351i
\(579\) 334342. 1.89615e6i 0.0414471 0.235058i
\(580\) −112896. + 640267.i −0.0139351 + 0.0790298i
\(581\) 3.96855e6 + 6.87373e6i 0.487744 + 0.844797i
\(582\) −2.01797e6 + 3.49523e6i −0.246950 + 0.427729i
\(583\) −7.70813e6 6.46789e6i −0.939242 0.788118i
\(584\) −119817. 43609.6i −0.0145373 0.00529115i
\(585\) 6.12629e6 2.22979e6i 0.740130 0.269385i
\(586\) −2.09809e6 + 1.76051e6i −0.252395 + 0.211784i
\(587\) −1.33520e6 7.57230e6i −0.159938 0.907053i −0.954131 0.299388i \(-0.903218\pi\)
0.794194 0.607665i \(-0.207894\pi\)
\(588\) 6.17799e6 0.736892
\(589\) 1.04349e7 735554.i 1.23937 0.0873627i
\(590\) 3.57130e6 0.422373
\(591\) 270088. + 1.53174e6i 0.0318080 + 0.180392i
\(592\) −1.53964e6 + 1.29191e6i −0.180557 + 0.151505i
\(593\) −3.64006e6 + 1.32487e6i −0.425081 + 0.154717i −0.545697 0.837982i \(-0.683735\pi\)
0.120616 + 0.992699i \(0.461513\pi\)
\(594\) 5.10924e6 + 1.85961e6i 0.594142 + 0.216250i
\(595\) −1.35452e7 1.13658e7i −1.56854 1.31616i
\(596\) −86763.9 + 150280.i −0.0100052 + 0.0173294i
\(597\) 1.59118e6 + 2.75600e6i 0.182719 + 0.316478i
\(598\) −418747. + 2.37483e6i −0.0478849 + 0.271569i
\(599\) −2.17516e6 + 1.23359e7i −0.247699 + 1.40477i 0.566442 + 0.824102i \(0.308320\pi\)
−0.814140 + 0.580668i \(0.802791\pi\)
\(600\) −1.99745e6 3.45969e6i −0.226516 0.392337i
\(601\) −146819. + 254297.i −0.0165804 + 0.0287181i −0.874197 0.485572i \(-0.838611\pi\)
0.857616 + 0.514290i \(0.171945\pi\)
\(602\) 9.19502e6 + 7.71554e6i 1.03410 + 0.867711i
\(603\) −1.81719e6 661403.i −0.203520 0.0740752i
\(604\) −505079. + 183834.i −0.0563335 + 0.0205037i
\(605\) −3.03092e6 + 2.54325e6i −0.336656 + 0.282488i
\(606\) −1.22901e6 6.97008e6i −0.135949 0.771003i
\(607\) −4.13932e6 −0.455993 −0.227996 0.973662i \(-0.573217\pi\)
−0.227996 + 0.973662i \(0.573217\pi\)
\(608\) 167532. 1.60260e6i 0.0183797 0.175819i
\(609\) −1.02753e6 −0.112267
\(610\) −552120. 3.13123e6i −0.0600771 0.340714i
\(611\) −8.21900e6 + 6.89656e6i −0.890668 + 0.747360i
\(612\) −1.61534e6 + 587936.i −0.174335 + 0.0634529i
\(613\) −5.39286e6 1.96284e6i −0.579653 0.210977i 0.0355193 0.999369i \(-0.488691\pi\)
−0.615173 + 0.788392i \(0.710914\pi\)
\(614\) −4.39043e6 3.68401e6i −0.469988 0.394366i
\(615\) 7.98959e6 1.38384e7i 0.851798 1.47536i
\(616\) −2.57023e6 4.45177e6i −0.272910 0.472695i
\(617\) −2.00863e6 + 1.13915e7i −0.212416 + 1.20467i 0.672919 + 0.739716i \(0.265040\pi\)
−0.885335 + 0.464954i \(0.846071\pi\)
\(618\) −524361. + 2.97380e6i −0.0552280 + 0.313213i
\(619\) 9.23901e6 + 1.60024e7i 0.969167 + 1.67865i 0.697976 + 0.716122i \(0.254084\pi\)
0.271192 + 0.962525i \(0.412582\pi\)
\(620\) −5.08042e6 + 8.79955e6i −0.530788 + 0.919351i
\(621\) 3.58451e6 + 3.00776e6i 0.372993 + 0.312979i
\(622\) 1.07717e6 + 392059.i 0.111637 + 0.0406327i
\(623\) 2.42920e7 8.84158e6i 2.50752 0.912661i
\(624\) 1.03291e6 866714.i 0.106194 0.0891075i
\(625\) 1.30046e6 + 7.37528e6i 0.133167 + 0.755229i
\(626\) 1.30505e6 0.133104
\(627\) 1.37276e6 + 5.49275e6i 0.139453 + 0.557983i
\(628\) 9.14580e6 0.925385
\(629\) 1.08668e6 + 6.16287e6i 0.109515 + 0.621092i
\(630\) −9.16203e6 + 7.68785e6i −0.919687 + 0.771709i
\(631\) −8.41706e6 + 3.06356e6i −0.841564 + 0.306304i −0.726596 0.687065i \(-0.758899\pi\)
−0.114968 + 0.993369i \(0.536676\pi\)
\(632\) 578747. + 210647.i 0.0576363 + 0.0209779i
\(633\) 6.45261e6 + 5.41439e6i 0.640068 + 0.537081i
\(634\) −6.08764e6 + 1.05441e7i −0.601487 + 1.04181i
\(635\) −4.53403e6 7.85316e6i −0.446221 0.772877i
\(636\) −840810. + 4.76847e6i −0.0824242 + 0.467451i
\(637\) 3.26356e6 1.85085e7i 0.318671 1.80727i
\(638\) 294249. + 509655.i 0.0286196 + 0.0495706i
\(639\) −2.10271e6 + 3.64199e6i −0.203717 + 0.352848i
\(640\) 1.19896e6 + 1.00604e6i 0.115705 + 0.0970882i
\(641\) −1.38115e7 5.02699e6i −1.32769 0.483240i −0.421776 0.906700i \(-0.638593\pi\)
−0.905915 + 0.423460i \(0.860815\pi\)
\(642\) 2.65968e6 968043.i 0.254678 0.0926952i
\(643\) 1.19145e7 9.99745e6i 1.13644 0.953590i 0.137128 0.990553i \(-0.456213\pi\)
0.999317 + 0.0369630i \(0.0117684\pi\)
\(644\) −768206. 4.35671e6i −0.0729899 0.413946i
\(645\) 1.28413e7 1.21537
\(646\) −4.06055e6 2.94669e6i −0.382828 0.277813i
\(647\) −5.91558e6 −0.555567 −0.277784 0.960644i \(-0.589600\pi\)
−0.277784 + 0.960644i \(0.589600\pi\)
\(648\) −90326.3 512266.i −0.00845039 0.0479246i
\(649\) 2.47637e6 2.07793e6i 0.230783 0.193650i
\(650\) −1.14200e7 + 4.15654e6i −1.06019 + 0.385877i
\(651\) −1.50904e7 5.49246e6i −1.39556 0.507943i
\(652\) 5.40590e6 + 4.53609e6i 0.498023 + 0.417891i
\(653\) −636886. + 1.10312e6i −0.0584492 + 0.101237i −0.893769 0.448527i \(-0.851949\pi\)
0.835320 + 0.549764i \(0.185282\pi\)
\(654\) 403255. + 698457.i 0.0368668 + 0.0638551i
\(655\) 4.40309e6 2.49712e7i 0.401010 2.27424i
\(656\) −714823. + 4.05396e6i −0.0648543 + 0.367807i
\(657\) 134268. + 232559.i 0.0121355 + 0.0210194i
\(658\) 9.84149e6 1.70460e7i 0.886128 1.53482i
\(659\) −5.34741e6 4.48701e6i −0.479656 0.402480i 0.370646 0.928774i \(-0.379136\pi\)
−0.850302 + 0.526295i \(0.823581\pi\)
\(660\) −5.16770e6 1.88089e6i −0.461782 0.168075i
\(661\) 9.67765e6 3.52238e6i 0.861522 0.313568i 0.126793 0.991929i \(-0.459532\pi\)
0.734729 + 0.678361i \(0.237309\pi\)
\(662\) −6.93429e6 + 5.81856e6i −0.614975 + 0.516025i
\(663\) −729030. 4.13454e6i −0.0644112 0.365294i
\(664\) −2.18749e6 −0.192542
\(665\) −3.35599e7 9.60282e6i −2.94284 0.842063i
\(666\) 4.23288e6 0.369786
\(667\) 87947.0 + 498772.i 0.00765432 + 0.0434098i
\(668\) −395975. + 332262.i −0.0343341 + 0.0288098i
\(669\) −6.20320e6 + 2.25778e6i −0.535859 + 0.195037i
\(670\) 5.15155e6 + 1.87501e6i 0.443354 + 0.161368i
\(671\) −2.20472e6 1.84998e6i −0.189037 0.158621i
\(672\) −1.23681e6 + 2.14222e6i −0.105653 + 0.182996i
\(673\) 2.74181e6 + 4.74896e6i 0.233346 + 0.404167i 0.958791 0.284114i \(-0.0916993\pi\)
−0.725445 + 0.688280i \(0.758366\pi\)
\(674\) 1.62544e6 9.21832e6i 0.137823 0.781631i
\(675\) −4.09492e6 + 2.32234e7i −0.345928 + 1.96186i
\(676\) 919409. + 1.59246e6i 0.0773823 + 0.134030i
\(677\) −2.49656e6 + 4.32417e6i −0.209349 + 0.362603i −0.951510 0.307619i \(-0.900468\pi\)
0.742161 + 0.670222i \(0.233801\pi\)
\(678\) −4.08828e6 3.43048e6i −0.341560 0.286603i
\(679\) −2.11656e7 7.70366e6i −1.76180 0.641243i
\(680\) 4.57933e6 1.66674e6i 0.379778 0.138228i
\(681\) −747947. + 627602.i −0.0618021 + 0.0518581i
\(682\) 1.59712e6 + 9.05769e6i 0.131485 + 0.745687i
\(683\) −6.96239e6 −0.571093 −0.285546 0.958365i \(-0.592175\pi\)
−0.285546 + 0.958365i \(0.592175\pi\)
\(684\) −2.43980e6 + 2.35873e6i −0.199395 + 0.192770i
\(685\) −6.65084e6 −0.541565
\(686\) 3.27618e6 + 1.85802e7i 0.265802 + 1.50744i
\(687\) 1.40398e6 1.17808e6i 0.113493 0.0952317i
\(688\) −3.10862e6 + 1.13144e6i −0.250378 + 0.0911302i
\(689\) 1.38416e7 + 5.03794e6i 1.11081 + 0.404301i
\(690\) −3.62552e6 3.04218e6i −0.289900 0.243255i
\(691\) −4.64760e6 + 8.04988e6i −0.370283 + 0.641349i −0.989609 0.143785i \(-0.954073\pi\)
0.619326 + 0.785134i \(0.287406\pi\)
\(692\) 1.12086e6 + 1.94139e6i 0.0889787 + 0.154116i
\(693\) −1.87994e6 + 1.06617e7i −0.148700 + 0.843319i
\(694\) −1.12193e6 + 6.36275e6i −0.0884230 + 0.501472i
\(695\) −1.76477e7 3.05668e7i −1.38588 2.40042i
\(696\) 141595. 245250.i 0.0110796 0.0191905i
\(697\) 9.81859e6 + 8.23877e6i 0.765538 + 0.642363i
\(698\) −187481. 68237.4i −0.0145652 0.00530132i
\(699\) 2.21075e6 804647.i 0.171138 0.0622892i
\(700\) 1.70789e7 1.43309e7i 1.31739 1.10542i
\(701\) −1.33748e6 7.58521e6i −0.102800 0.583005i −0.992076 0.125636i \(-0.959903\pi\)
0.889277 0.457369i \(-0.151208\pi\)
\(702\) −7.95933e6 −0.609585
\(703\) 6.91402e6 + 1.02381e7i 0.527645 + 0.781322i
\(704\) 1.41672e6 0.107734
\(705\) −3.65654e6 2.07373e7i −0.277075 1.57137i
\(706\) 1.06230e7 8.91375e6i 0.802112 0.673052i
\(707\) 3.71169e7 1.35094e7i 2.79269 1.01646i
\(708\) −1.46178e6 532043.i −0.109597 0.0398899i
\(709\) 393148. + 329890.i 0.0293724 + 0.0246464i 0.657356 0.753580i \(-0.271675\pi\)
−0.627983 + 0.778227i \(0.716119\pi\)
\(710\) 5.96096e6 1.03247e7i 0.443782 0.768654i
\(711\) −648551. 1.12332e6i −0.0481139 0.0833357i
\(712\) −1.23718e6 + 7.01637e6i −0.0914601 + 0.518696i
\(713\) −1.37449e6 + 7.79512e6i −0.101255 + 0.574248i
\(714\) 3.85098e6 + 6.67009e6i 0.282700 + 0.489651i
\(715\) −8.36479e6 + 1.44882e7i −0.611913 + 1.05986i
\(716\) 2.51369e6 + 2.10924e6i 0.183244 + 0.153760i
\(717\) 3.36262e6 + 1.22389e6i 0.244275 + 0.0889089i
\(718\) −1.12006e7 + 4.07669e6i −0.810831 + 0.295118i
\(719\) 2.91565e6 2.44652e6i 0.210336 0.176493i −0.531533 0.847037i \(-0.678384\pi\)
0.741869 + 0.670545i \(0.233940\pi\)
\(720\) −572388. 3.24618e6i −0.0411490 0.233368i
\(721\) −1.68523e7 −1.20732
\(722\) −9.69026e6 2.04839e6i −0.691819 0.146241i
\(723\) 1.65073e7 1.17444
\(724\) −1.65817e6 9.40398e6i −0.117567 0.666753i
\(725\) −1.95526e6 + 1.64066e6i −0.138152 + 0.115924i
\(726\) 1.61948e6 589442.i 0.114034 0.0415049i
\(727\) 2.29036e7 + 8.33621e6i 1.60719 + 0.584969i 0.980881 0.194607i \(-0.0623433\pi\)
0.626307 + 0.779576i \(0.284565\pi\)
\(728\) 5.76450e6 + 4.83699e6i 0.403119 + 0.338257i
\(729\) −5.51481e6 + 9.55194e6i −0.384337 + 0.665691i
\(730\) −380636. 659281.i −0.0264364 0.0457892i
\(731\) −1.78862e6 + 1.01438e7i −0.123801 + 0.702112i
\(732\) −240493. + 1.36390e6i −0.0165892 + 0.0940818i
\(733\) −2.23280e6 3.86732e6i −0.153493 0.265858i 0.779016 0.627004i \(-0.215719\pi\)
−0.932509 + 0.361146i \(0.882386\pi\)
\(734\) −4.47674e6 + 7.75395e6i −0.306706 + 0.531230i
\(735\) 2.82560e7 + 2.37096e7i 1.92927 + 1.61885i
\(736\) 1.14571e6 + 417006.i 0.0779618 + 0.0283758i
\(737\) 4.66309e6 1.69723e6i 0.316231 0.115099i
\(738\) 6.64131e6 5.57272e6i 0.448862 0.376640i
\(739\) −354973. 2.01315e6i −0.0239102 0.135602i 0.970516 0.241037i \(-0.0774875\pi\)
−0.994426 + 0.105435i \(0.966376\pi\)
\(740\) −1.19998e7 −0.805553
\(741\) −4.63847e6 6.86851e6i −0.310334 0.459533i
\(742\) −2.70226e7 −1.80184
\(743\) 3.30782e6 + 1.87596e7i 0.219821 + 1.24667i 0.872341 + 0.488897i \(0.162601\pi\)
−0.652520 + 0.757771i \(0.726288\pi\)
\(744\) 3.39041e6 2.84489e6i 0.224554 0.188423i
\(745\) −973563. + 354348.i −0.0642648 + 0.0233905i
\(746\) −4.18478e6 1.52314e6i −0.275312 0.100206i
\(747\) 3.52916e6 + 2.96131e6i 0.231403 + 0.194170i
\(748\) 2.20557e6 3.82017e6i 0.144134 0.249648i
\(749\) 7.89792e6 + 1.36796e7i 0.514408 + 0.890981i
\(750\) 1.98479e6 1.12563e7i 0.128843 0.730705i
\(751\) 1.88974e6 1.07173e7i 0.122265 0.693400i −0.860630 0.509231i \(-0.829930\pi\)
0.982895 0.184168i \(-0.0589592\pi\)
\(752\) 2.71234e6 + 4.69791e6i 0.174904 + 0.302942i
\(753\) −3.87996e6 + 6.72029e6i −0.249368 + 0.431917i
\(754\) −659941. 553756.i −0.0422743 0.0354724i
\(755\) −3.01556e6 1.09757e6i −0.192531 0.0700756i
\(756\) 1.37211e7 4.99407e6i 0.873140 0.317797i
\(757\) 1.72203e6 1.44495e6i 0.109220 0.0916462i −0.586542 0.809919i \(-0.699511\pi\)
0.695762 + 0.718272i \(0.255067\pi\)
\(758\) 2.23381e6 + 1.26685e7i 0.141212 + 0.800854i
\(759\) −4.28403e6 −0.269928
\(760\) 6.91659e6 6.68676e6i 0.434368 0.419935i
\(761\) 1.37969e7 0.863614 0.431807 0.901966i \(-0.357876\pi\)
0.431807 + 0.901966i \(0.357876\pi\)
\(762\) 685887. + 3.88986e6i 0.0427923 + 0.242687i
\(763\) −3.44796e6 + 2.89319e6i −0.214413 + 0.179914i
\(764\) −5.62649e6 + 2.04787e6i −0.348742 + 0.126932i
\(765\) −9.64436e6 3.51026e6i −0.595826 0.216863i
\(766\) 1.50696e6 + 1.26449e6i 0.0927963 + 0.0778653i
\(767\) −2.36613e6 + 4.09826e6i −0.145228 + 0.251542i
\(768\) −340869. 590402.i