Properties

Label 76.6.f.a.27.14
Level $76$
Weight $6$
Character 76.27
Analytic conductor $12.189$
Analytic rank $0$
Dimension $96$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 76.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.1891703058\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(48\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 27.14
Character \(\chi\) \(=\) 76.27
Dual form 76.6.f.a.31.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.14758 - 4.70029i) q^{2} +(5.80366 - 10.0522i) q^{3} +(-12.1854 + 29.5891i) q^{4} +(-48.4181 + 83.8626i) q^{5} +(-65.5159 + 4.36135i) q^{6} -77.0285i q^{7} +(177.432 - 35.8590i) q^{8} +(54.1352 + 93.7648i) q^{9} +O(q^{10})\) \(q+(-3.14758 - 4.70029i) q^{2} +(5.80366 - 10.0522i) q^{3} +(-12.1854 + 29.5891i) q^{4} +(-48.4181 + 83.8626i) q^{5} +(-65.5159 + 4.36135i) q^{6} -77.0285i q^{7} +(177.432 - 35.8590i) q^{8} +(54.1352 + 93.7648i) q^{9} +(546.579 - 36.3854i) q^{10} -612.215i q^{11} +(226.716 + 294.216i) q^{12} +(784.662 - 453.025i) q^{13} +(-362.056 + 242.454i) q^{14} +(562.004 + 973.420i) q^{15} +(-727.030 - 721.113i) q^{16} +(-469.295 + 812.843i) q^{17} +(270.327 - 549.584i) q^{18} +(1573.54 + 8.46536i) q^{19} +(-1891.42 - 2454.55i) q^{20} +(-774.308 - 447.047i) q^{21} +(-2877.59 + 1927.00i) q^{22} +(156.096 - 90.1218i) q^{23} +(669.291 - 1991.70i) q^{24} +(-3126.13 - 5414.61i) q^{25} +(-4599.13 - 2262.20i) q^{26} +4077.30 q^{27} +(2279.20 + 938.627i) q^{28} +(5138.90 - 2966.95i) q^{29} +(2806.40 - 5705.50i) q^{30} +4142.34 q^{31} +(-1101.05 + 5687.01i) q^{32} +(-6154.12 - 3553.08i) q^{33} +(5297.75 - 352.668i) q^{34} +(6459.82 + 3729.58i) q^{35} +(-3434.08 + 459.244i) q^{36} +573.009i q^{37} +(-4913.06 - 7422.74i) q^{38} -10516.8i q^{39} +(-5583.69 + 16616.1i) q^{40} +(2742.72 + 1583.51i) q^{41} +(335.949 + 5046.59i) q^{42} +(-11790.0 - 6806.98i) q^{43} +(18114.9 + 7460.11i) q^{44} -10484.5 q^{45} +(-914.922 - 450.029i) q^{46} +(-1774.06 + 1024.25i) q^{47} +(-11468.2 + 3123.18i) q^{48} +10873.6 q^{49} +(-15610.5 + 31736.6i) q^{50} +(5447.26 + 9434.93i) q^{51} +(3843.14 + 28737.7i) q^{52} +(14619.0 - 8440.29i) q^{53} +(-12833.7 - 19164.5i) q^{54} +(51342.0 + 29642.3i) q^{55} +(-2762.17 - 13667.3i) q^{56} +(9217.38 - 15768.4i) q^{57} +(-30120.6 - 14815.6i) q^{58} +(-17395.6 + 30130.0i) q^{59} +(-35650.9 + 4767.65i) q^{60} +(6679.33 + 11568.9i) q^{61} +(-13038.4 - 19470.2i) q^{62} +(7222.57 - 4169.95i) q^{63} +(30196.3 - 12725.1i) q^{64} +87738.4i q^{65} +(2670.09 + 40109.8i) q^{66} +(-907.767 - 1572.30i) q^{67} +(-18332.7 - 23790.9i) q^{68} -2092.14i q^{69} +(-2802.72 - 42102.2i) q^{70} +(38475.9 - 66642.2i) q^{71} +(12967.6 + 14695.7i) q^{72} +(30512.5 - 52849.1i) q^{73} +(2693.31 - 1803.59i) q^{74} -72571.9 q^{75} +(-19424.8 + 46456.5i) q^{76} -47158.0 q^{77} +(-49432.0 + 33102.5i) q^{78} +(34077.6 - 59024.2i) q^{79} +(95675.8 - 26055.7i) q^{80} +(10508.4 - 18201.1i) q^{81} +(-1189.98 - 17875.8i) q^{82} +98626.4i q^{83} +(22663.0 - 17463.6i) q^{84} +(-45444.8 - 78712.7i) q^{85} +(5115.33 + 76842.1i) q^{86} -68876.5i q^{87} +(-21953.4 - 108627. i) q^{88} +(-92806.4 + 53581.8i) q^{89} +(33000.8 + 49280.1i) q^{90} +(-34895.8 - 60441.3i) q^{91} +(764.530 + 5716.90i) q^{92} +(24040.7 - 41639.7i) q^{93} +(10398.3 + 5114.66i) q^{94} +(-76897.8 + 131551. i) q^{95} +(50777.0 + 44073.5i) q^{96} +(-42509.4 - 24542.8i) q^{97} +(-34225.6 - 51109.1i) q^{98} +(57404.2 - 33142.3i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + O(q^{10}) \) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + 648q^{10} - 354q^{13} + 2154q^{14} - 611q^{16} - 1006q^{17} + 10524q^{20} + 7824q^{21} + 93q^{22} - 5311q^{24} - 25002q^{25} - 13428q^{26} + 1556q^{28} - 6q^{29} - 12656q^{30} - 30453q^{32} + 8586q^{33} + 30102q^{34} - 2306q^{36} + 29846q^{38} - 1392q^{40} + 29064q^{41} + 18616q^{42} + 9155q^{44} + 13464q^{45} + 38217q^{48} - 116224q^{49} + 36858q^{52} + 26262q^{53} - 26355q^{54} + 53974q^{57} - 112740q^{58} - 108810q^{60} - 77370q^{61} - 106848q^{62} + 337966q^{64} + 166855q^{66} + 175796q^{68} + 148122q^{70} - 259842q^{72} - 52040q^{73} + 103690q^{74} - 194709q^{76} + 197584q^{77} + 253206q^{78} - 171934q^{80} - 313100q^{81} + 63919q^{82} - 161762q^{85} - 38442q^{86} + 10482q^{89} - 372450q^{90} + 64544q^{92} + 94012q^{93} + 537614q^{96} + 177180q^{97} - 509397q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.14758 4.70029i −0.556419 0.830902i
\(3\) 5.80366 10.0522i 0.372305 0.644851i −0.617615 0.786481i \(-0.711901\pi\)
0.989920 + 0.141630i \(0.0452343\pi\)
\(4\) −12.1854 + 29.5891i −0.380795 + 0.924659i
\(5\) −48.4181 + 83.8626i −0.866130 + 1.50018i −0.000208377 1.00000i \(0.500066\pi\)
−0.865921 + 0.500180i \(0.833267\pi\)
\(6\) −65.5159 + 4.36135i −0.742965 + 0.0494588i
\(7\) 77.0285i 0.594164i −0.954852 0.297082i \(-0.903986\pi\)
0.954852 0.297082i \(-0.0960135\pi\)
\(8\) 177.432 35.8590i 0.980183 0.198095i
\(9\) 54.1352 + 93.7648i 0.222778 + 0.385864i
\(10\) 546.579 36.3854i 1.72843 0.115061i
\(11\) 612.215i 1.52553i −0.646673 0.762767i \(-0.723840\pi\)
0.646673 0.762767i \(-0.276160\pi\)
\(12\) 226.716 + 294.216i 0.454495 + 0.589811i
\(13\) 784.662 453.025i 1.28773 0.743470i 0.309479 0.950906i \(-0.399845\pi\)
0.978249 + 0.207436i \(0.0665119\pi\)
\(14\) −362.056 + 242.454i −0.493692 + 0.330604i
\(15\) 562.004 + 973.420i 0.644928 + 1.11705i
\(16\) −727.030 721.113i −0.709990 0.704212i
\(17\) −469.295 + 812.843i −0.393844 + 0.682157i −0.992953 0.118510i \(-0.962188\pi\)
0.599109 + 0.800667i \(0.295522\pi\)
\(18\) 270.327 549.584i 0.196656 0.399809i
\(19\) 1573.54 + 8.46536i 0.999986 + 0.00537974i
\(20\) −1891.42 2454.55i −1.05734 1.37214i
\(21\) −774.308 447.047i −0.383147 0.221210i
\(22\) −2877.59 + 1927.00i −1.26757 + 0.848837i
\(23\) 156.096 90.1218i 0.0615277 0.0355231i −0.468921 0.883240i \(-0.655357\pi\)
0.530448 + 0.847717i \(0.322024\pi\)
\(24\) 669.291 1991.70i 0.237185 0.705823i
\(25\) −3126.13 5414.61i −1.00036 1.73268i
\(26\) −4599.13 2262.20i −1.33427 0.656294i
\(27\) 4077.30 1.07638
\(28\) 2279.20 + 938.627i 0.549400 + 0.226255i
\(29\) 5138.90 2966.95i 1.13469 0.655111i 0.189576 0.981866i \(-0.439289\pi\)
0.945109 + 0.326755i \(0.105955\pi\)
\(30\) 2806.40 5705.50i 0.569307 1.15742i
\(31\) 4142.34 0.774179 0.387089 0.922042i \(-0.373480\pi\)
0.387089 + 0.922042i \(0.373480\pi\)
\(32\) −1101.05 + 5687.01i −0.190078 + 0.981769i
\(33\) −6154.12 3553.08i −0.983742 0.567964i
\(34\) 5297.75 352.668i 0.785948 0.0523201i
\(35\) 6459.82 + 3729.58i 0.891354 + 0.514623i
\(36\) −3434.08 + 459.244i −0.441625 + 0.0590592i
\(37\) 573.009i 0.0688109i 0.999408 + 0.0344055i \(0.0109538\pi\)
−0.999408 + 0.0344055i \(0.989046\pi\)
\(38\) −4913.06 7422.74i −0.551941 0.833883i
\(39\) 10516.8i 1.10719i
\(40\) −5583.69 + 16616.1i −0.551787 + 1.64203i
\(41\) 2742.72 + 1583.51i 0.254814 + 0.147117i 0.621966 0.783044i \(-0.286334\pi\)
−0.367153 + 0.930161i \(0.619667\pi\)
\(42\) 335.949 + 5046.59i 0.0293866 + 0.441443i
\(43\) −11790.0 6806.98i −0.972398 0.561414i −0.0724313 0.997373i \(-0.523076\pi\)
−0.899966 + 0.435959i \(0.856409\pi\)
\(44\) 18114.9 + 7460.11i 1.41060 + 0.580916i
\(45\) −10484.5 −0.771820
\(46\) −914.922 450.029i −0.0637514 0.0313578i
\(47\) −1774.06 + 1024.25i −0.117145 + 0.0676335i −0.557427 0.830226i \(-0.688212\pi\)
0.440283 + 0.897859i \(0.354878\pi\)
\(48\) −11468.2 + 3123.18i −0.718444 + 0.195656i
\(49\) 10873.6 0.646969
\(50\) −15610.5 + 31736.6i −0.883063 + 1.79530i
\(51\) 5447.26 + 9434.93i 0.293260 + 0.507941i
\(52\) 3843.14 + 28737.7i 0.197096 + 1.47382i
\(53\) 14619.0 8440.29i 0.714872 0.412731i −0.0979905 0.995187i \(-0.531241\pi\)
0.812862 + 0.582456i \(0.197908\pi\)
\(54\) −12833.7 19164.5i −0.598916 0.894362i
\(55\) 51342.0 + 29642.3i 2.28858 + 1.32131i
\(56\) −2762.17 13667.3i −0.117701 0.582390i
\(57\) 9217.38 15768.4i 0.375768 0.642838i
\(58\) −30120.6 14815.6i −1.17569 0.578295i
\(59\) −17395.6 + 30130.0i −0.650592 + 1.12686i 0.332387 + 0.943143i \(0.392146\pi\)
−0.982979 + 0.183716i \(0.941187\pi\)
\(60\) −35650.9 + 4767.65i −1.27847 + 0.170972i
\(61\) 6679.33 + 11568.9i 0.229831 + 0.398079i 0.957758 0.287576i \(-0.0928494\pi\)
−0.727927 + 0.685655i \(0.759516\pi\)
\(62\) −13038.4 19470.2i −0.430768 0.643267i
\(63\) 7222.57 4169.95i 0.229266 0.132367i
\(64\) 30196.3 12725.1i 0.921517 0.388339i
\(65\) 87738.4i 2.57577i
\(66\) 2670.09 + 40109.8i 0.0754511 + 1.13342i
\(67\) −907.767 1572.30i −0.0247051 0.0427906i 0.853409 0.521243i \(-0.174531\pi\)
−0.878114 + 0.478452i \(0.841198\pi\)
\(68\) −18332.7 23790.9i −0.480790 0.623934i
\(69\) 2092.14i 0.0529016i
\(70\) −2802.72 42102.2i −0.0683650 1.02697i
\(71\) 38475.9 66642.2i 0.905823 1.56893i 0.0860133 0.996294i \(-0.472587\pi\)
0.819809 0.572637i \(-0.194079\pi\)
\(72\) 12967.6 + 14695.7i 0.294801 + 0.334086i
\(73\) 30512.5 52849.1i 0.670147 1.16073i −0.307715 0.951479i \(-0.599564\pi\)
0.977862 0.209250i \(-0.0671024\pi\)
\(74\) 2693.31 1803.59i 0.0571751 0.0382877i
\(75\) −72571.9 −1.48976
\(76\) −19424.8 + 46456.5i −0.385764 + 0.922597i
\(77\) −47158.0 −0.906418
\(78\) −49432.0 + 33102.5i −0.919966 + 0.616062i
\(79\) 34077.6 59024.2i 0.614330 1.06405i −0.376172 0.926550i \(-0.622760\pi\)
0.990502 0.137501i \(-0.0439069\pi\)
\(80\) 95675.8 26055.7i 1.67139 0.455175i
\(81\) 10508.4 18201.1i 0.177961 0.308238i
\(82\) −1189.98 17875.8i −0.0195437 0.293584i
\(83\) 98626.4i 1.57144i 0.618582 + 0.785720i \(0.287707\pi\)
−0.618582 + 0.785720i \(0.712293\pi\)
\(84\) 22663.0 17463.6i 0.350445 0.270045i
\(85\) −45444.8 78712.7i −0.682240 1.18167i
\(86\) 5115.33 + 76842.1i 0.0745809 + 1.12035i
\(87\) 68876.5i 0.975603i
\(88\) −21953.4 108627.i −0.302201 1.49530i
\(89\) −92806.4 + 53581.8i −1.24195 + 0.717038i −0.969490 0.245130i \(-0.921169\pi\)
−0.272456 + 0.962168i \(0.587836\pi\)
\(90\) 33000.8 + 49280.1i 0.429455 + 0.641306i
\(91\) −34895.8 60441.3i −0.441743 0.765122i
\(92\) 764.530 + 5716.90i 0.00941727 + 0.0704192i
\(93\) 24040.7 41639.7i 0.288230 0.499230i
\(94\) 10398.3 + 5114.66i 0.121378 + 0.0597031i
\(95\) −76897.8 + 131551.i −0.874188 + 1.49550i
\(96\) 50777.0 + 44073.5i 0.562327 + 0.488089i
\(97\) −42509.4 24542.8i −0.458728 0.264847i 0.252781 0.967523i \(-0.418655\pi\)
−0.711509 + 0.702677i \(0.751988\pi\)
\(98\) −34225.6 51109.1i −0.359986 0.537568i
\(99\) 57404.2 33142.3i 0.588648 0.339856i
\(100\) 198307. 26519.9i 1.98307 0.265199i
\(101\) 57186.0 + 99049.1i 0.557810 + 0.966156i 0.997679 + 0.0680936i \(0.0216917\pi\)
−0.439869 + 0.898062i \(0.644975\pi\)
\(102\) 27201.2 55300.9i 0.258873 0.526298i
\(103\) −14404.8 −0.133787 −0.0668937 0.997760i \(-0.521309\pi\)
−0.0668937 + 0.997760i \(0.521309\pi\)
\(104\) 122979. 108518.i 1.11493 0.983829i
\(105\) 74981.1 43290.4i 0.663710 0.383193i
\(106\) −85686.3 42147.1i −0.740708 0.364336i
\(107\) −145836. −1.23142 −0.615709 0.787974i \(-0.711130\pi\)
−0.615709 + 0.787974i \(0.711130\pi\)
\(108\) −49683.8 + 120644.i −0.409878 + 0.995280i
\(109\) 28053.1 + 16196.4i 0.226159 + 0.130573i 0.608799 0.793325i \(-0.291652\pi\)
−0.382640 + 0.923898i \(0.624985\pi\)
\(110\) −22275.7 334624.i −0.175529 2.63679i
\(111\) 5760.02 + 3325.55i 0.0443728 + 0.0256186i
\(112\) −55546.2 + 56002.0i −0.418417 + 0.421851i
\(113\) 26567.0i 0.195725i 0.995200 + 0.0978624i \(0.0312005\pi\)
−0.995200 + 0.0978624i \(0.968799\pi\)
\(114\) −103129. + 6308.15i −0.743220 + 0.0454611i
\(115\) 17454.1i 0.123070i
\(116\) 25169.5 + 188209.i 0.173672 + 1.29866i
\(117\) 84955.6 + 49049.1i 0.573756 + 0.331258i
\(118\) 196374. 13072.5i 1.29831 0.0864278i
\(119\) 62612.1 + 36149.1i 0.405314 + 0.234008i
\(120\) 134623. + 152563.i 0.853429 + 0.967155i
\(121\) −213756. −1.32726
\(122\) 33353.6 67808.9i 0.202882 0.412465i
\(123\) 31835.7 18380.3i 0.189737 0.109544i
\(124\) −50476.2 + 122568.i −0.294804 + 0.715852i
\(125\) 302832. 1.73351
\(126\) −42333.6 20822.9i −0.237552 0.116846i
\(127\) −42616.0 73813.0i −0.234457 0.406091i 0.724658 0.689109i \(-0.241998\pi\)
−0.959115 + 0.283018i \(0.908665\pi\)
\(128\) −154857. 101878.i −0.835421 0.549611i
\(129\) −136851. + 79010.7i −0.724056 + 0.418034i
\(130\) 412396. 276164.i 2.14021 1.43321i
\(131\) −133798. 77248.6i −0.681197 0.393289i 0.119109 0.992881i \(-0.461996\pi\)
−0.800306 + 0.599592i \(0.795330\pi\)
\(132\) 180123. 138799.i 0.899777 0.693349i
\(133\) 652.074 121207.i 0.00319645 0.594156i
\(134\) −4532.99 + 9215.71i −0.0218083 + 0.0443370i
\(135\) −197415. + 341933.i −0.932280 + 1.61476i
\(136\) −54120.3 + 161053.i −0.250907 + 0.746658i
\(137\) −105149. 182124.i −0.478635 0.829019i 0.521065 0.853517i \(-0.325535\pi\)
−0.999700 + 0.0244974i \(0.992201\pi\)
\(138\) −9833.68 + 6585.20i −0.0439560 + 0.0294355i
\(139\) 53907.9 31123.7i 0.236655 0.136633i −0.376984 0.926220i \(-0.623039\pi\)
0.613638 + 0.789587i \(0.289705\pi\)
\(140\) −189071. + 145694.i −0.815274 + 0.628232i
\(141\) 23777.6i 0.100721i
\(142\) −434344. + 28914.0i −1.80764 + 0.120334i
\(143\) −277348. 480382.i −1.13419 1.96447i
\(144\) 28257.1 107207.i 0.113559 0.430842i
\(145\) 574616.i 2.26964i
\(146\) −344447. + 22929.6i −1.33733 + 0.0890256i
\(147\) 63106.7 109304.i 0.240870 0.417198i
\(148\) −16954.8 6982.37i −0.0636267 0.0262029i
\(149\) −262060. + 453900.i −0.967017 + 1.67492i −0.262923 + 0.964817i \(0.584687\pi\)
−0.704094 + 0.710107i \(0.748647\pi\)
\(150\) 228426. + 341109.i 0.828929 + 1.23784i
\(151\) 229611. 0.819503 0.409752 0.912197i \(-0.365615\pi\)
0.409752 + 0.912197i \(0.365615\pi\)
\(152\) 279500. 54923.6i 0.981234 0.192819i
\(153\) −101622. −0.350960
\(154\) 148434. + 221656.i 0.504349 + 0.753144i
\(155\) −200564. + 347387.i −0.670539 + 1.16141i
\(156\) 311183. + 128152.i 1.02377 + 0.421612i
\(157\) 20925.7 36244.4i 0.0677534 0.117352i −0.830159 0.557527i \(-0.811750\pi\)
0.897912 + 0.440175i \(0.145084\pi\)
\(158\) −384693. + 25608.8i −1.22595 + 0.0816106i
\(159\) 195938.i 0.614647i
\(160\) −423617. 367692.i −1.30820 1.13549i
\(161\) −6941.95 12023.8i −0.0211065 0.0365576i
\(162\) −118627. + 7896.91i −0.355136 + 0.0236412i
\(163\) 60316.1i 0.177813i 0.996040 + 0.0889066i \(0.0283373\pi\)
−0.996040 + 0.0889066i \(0.971663\pi\)
\(164\) −80276.0 + 61858.9i −0.233065 + 0.179594i
\(165\) 595942. 344067.i 1.70410 0.983861i
\(166\) 463573. 310435.i 1.30571 0.874380i
\(167\) 98002.8 + 169746.i 0.271924 + 0.470986i 0.969354 0.245666i \(-0.0790068\pi\)
−0.697431 + 0.716652i \(0.745673\pi\)
\(168\) −153418. 51554.5i −0.419375 0.140927i
\(169\) 224816. 389393.i 0.605495 1.04875i
\(170\) −226931. + 461358.i −0.602243 + 1.22438i
\(171\) 84390.1 + 148001.i 0.220699 + 0.387056i
\(172\) 345079. 265910.i 0.889401 0.685353i
\(173\) −216585. 125045.i −0.550191 0.317653i 0.199008 0.979998i \(-0.436228\pi\)
−0.749199 + 0.662345i \(0.769561\pi\)
\(174\) −323740. + 216795.i −0.810630 + 0.542844i
\(175\) −417080. + 240801.i −1.02949 + 0.594379i
\(176\) −441476. + 445098.i −1.07430 + 1.08311i
\(177\) 201916. + 349729.i 0.484437 + 0.839070i
\(178\) 543966. + 267564.i 1.28683 + 0.632962i
\(179\) 797188. 1.85964 0.929818 0.368019i \(-0.119964\pi\)
0.929818 + 0.368019i \(0.119964\pi\)
\(180\) 127758. 310227.i 0.293905 0.713671i
\(181\) 405031. 233845.i 0.918949 0.530556i 0.0356496 0.999364i \(-0.488650\pi\)
0.883300 + 0.468809i \(0.155317\pi\)
\(182\) −174254. + 354265.i −0.389946 + 0.792774i
\(183\) 155058. 0.342268
\(184\) 24464.7 21587.9i 0.0532715 0.0470074i
\(185\) −48054.1 27744.0i −0.103229 0.0595992i
\(186\) −271389. + 18066.2i −0.575188 + 0.0382899i
\(187\) 497635. + 287310.i 1.04066 + 0.600822i
\(188\) −8689.03 64973.7i −0.0179298 0.134073i
\(189\) 314069.i 0.639544i
\(190\) 860371. 52626.9i 1.72903 0.105761i
\(191\) 681230.i 1.35117i −0.737282 0.675585i \(-0.763891\pi\)
0.737282 0.675585i \(-0.236109\pi\)
\(192\) 47333.3 377392.i 0.0926646 0.738821i
\(193\) −100319. 57919.4i −0.193861 0.111926i 0.399928 0.916547i \(-0.369035\pi\)
−0.593789 + 0.804621i \(0.702369\pi\)
\(194\) 18443.5 + 277057.i 0.0351835 + 0.528524i
\(195\) 881966. + 509203.i 1.66098 + 0.958970i
\(196\) −132500. + 321740.i −0.246363 + 0.598226i
\(197\) −651779. −1.19656 −0.598280 0.801287i \(-0.704149\pi\)
−0.598280 + 0.801287i \(0.704149\pi\)
\(198\) −336463. 165498.i −0.609922 0.300006i
\(199\) −580188. + 334972.i −1.03857 + 0.599619i −0.919428 0.393258i \(-0.871348\pi\)
−0.119142 + 0.992877i \(0.538015\pi\)
\(200\) −748838. 848626.i −1.32377 1.50017i
\(201\) −21073.5 −0.0367914
\(202\) 285562. 580556.i 0.492404 1.00107i
\(203\) −228540. 395842.i −0.389243 0.674189i
\(204\) −345548. + 46210.7i −0.581344 + 0.0777440i
\(205\) −265595. + 153341.i −0.441403 + 0.254844i
\(206\) 45340.4 + 67706.9i 0.0744419 + 0.111164i
\(207\) 16900.5 + 9757.52i 0.0274141 + 0.0158275i
\(208\) −897154. 236467.i −1.43783 0.378977i
\(209\) 5182.62 963344.i 0.00820699 1.52551i
\(210\) −439486. 216173.i −0.687697 0.338262i
\(211\) −67025.3 + 116091.i −0.103641 + 0.179512i −0.913182 0.407551i \(-0.866383\pi\)
0.809541 + 0.587063i \(0.199716\pi\)
\(212\) 71601.4 + 535412.i 0.109416 + 0.818179i
\(213\) −446602. 773537.i −0.674484 1.16824i
\(214\) 459031. + 685471.i 0.685184 + 1.02319i
\(215\) 1.14170e6 659162.i 1.68444 0.972515i
\(216\) 723444. 146208.i 1.05504 0.213225i
\(217\) 319078.i 0.459989i
\(218\) −12171.4 182837.i −0.0173459 0.260569i
\(219\) −354168. 613436.i −0.498998 0.864290i
\(220\) −1.50271e6 + 1.15796e6i −2.09324 + 1.61301i
\(221\) 850410.i 1.17124i
\(222\) −2499.10 37541.2i −0.00340330 0.0511241i
\(223\) 213799. 370311.i 0.287901 0.498660i −0.685407 0.728160i \(-0.740376\pi\)
0.973309 + 0.229500i \(0.0737091\pi\)
\(224\) 438062. + 84812.4i 0.583332 + 0.112938i
\(225\) 338467. 586242.i 0.445718 0.772006i
\(226\) 124872. 83621.7i 0.162628 0.108905i
\(227\) 232619. 0.299626 0.149813 0.988714i \(-0.452133\pi\)
0.149813 + 0.988714i \(0.452133\pi\)
\(228\) 354256. + 464880.i 0.451316 + 0.592248i
\(229\) 62382.3 0.0786090 0.0393045 0.999227i \(-0.487486\pi\)
0.0393045 + 0.999227i \(0.487486\pi\)
\(230\) 82039.4 54938.3i 0.102259 0.0684787i
\(231\) −273689. + 474043.i −0.337464 + 0.584504i
\(232\) 805414. 710707.i 0.982425 0.866904i
\(233\) −484371. + 838956.i −0.584506 + 1.01239i 0.410431 + 0.911892i \(0.365378\pi\)
−0.994937 + 0.100502i \(0.967955\pi\)
\(234\) −36859.6 553702.i −0.0440059 0.661053i
\(235\) 198369.i 0.234318i
\(236\) −679547. 881867.i −0.794218 1.03068i
\(237\) −395550. 685112.i −0.457436 0.792302i
\(238\) −27165.5 408078.i −0.0310867 0.466982i
\(239\) 214416.i 0.242807i 0.992603 + 0.121404i \(0.0387395\pi\)
−0.992603 + 0.121404i \(0.961260\pi\)
\(240\) 293352. 1.11297e6i 0.328746 1.24726i
\(241\) −50885.6 + 29378.8i −0.0564355 + 0.0325830i −0.527952 0.849274i \(-0.677040\pi\)
0.471517 + 0.881857i \(0.343707\pi\)
\(242\) 672815. + 1.00472e6i 0.738511 + 1.10282i
\(243\) 373418. + 646779.i 0.405676 + 0.702652i
\(244\) −423705. + 56662.7i −0.455605 + 0.0609288i
\(245\) −526480. + 911889.i −0.560359 + 0.970570i
\(246\) −186598. 91783.2i −0.196594 0.0966998i
\(247\) 1.23853e6 706210.i 1.29171 0.736532i
\(248\) 734984. 148540.i 0.758837 0.153361i
\(249\) 991415. + 572394.i 1.01334 + 0.585055i
\(250\) −953188. 1.42340e6i −0.964558 1.44038i
\(251\) −47653.2 + 27512.6i −0.0477428 + 0.0275643i −0.523681 0.851914i \(-0.675442\pi\)
0.475939 + 0.879478i \(0.342108\pi\)
\(252\) 35374.9 + 264522.i 0.0350909 + 0.262398i
\(253\) −55173.9 95564.0i −0.0541917 0.0938627i
\(254\) −212805. + 432640.i −0.206966 + 0.420768i
\(255\) −1.05498e6 −1.01600
\(256\) 8568.89 + 1.04854e6i 0.00817193 + 0.999967i
\(257\) 1.72905e6 998268.i 1.63296 0.942788i 0.649783 0.760120i \(-0.274860\pi\)
0.983175 0.182668i \(-0.0584734\pi\)
\(258\) 802122. + 394545.i 0.750224 + 0.369017i
\(259\) 44138.1 0.0408850
\(260\) −2.59610e6 1.06913e6i −2.38171 0.980839i
\(261\) 556391. + 321232.i 0.505567 + 0.291889i
\(262\) 58051.0 + 872038.i 0.0522465 + 0.784842i
\(263\) 434848. + 251060.i 0.387658 + 0.223814i 0.681145 0.732149i \(-0.261482\pi\)
−0.293487 + 0.955963i \(0.594816\pi\)
\(264\) −1.21935e6 409750.i −1.07676 0.361834i
\(265\) 1.63465e6i 1.42992i
\(266\) −571763. + 378446.i −0.495463 + 0.327944i
\(267\) 1.24388e6i 1.06783i
\(268\) 57584.4 7700.85i 0.0489743 0.00654940i
\(269\) 183724. + 106073.i 0.154805 + 0.0893767i 0.575401 0.817871i \(-0.304846\pi\)
−0.420596 + 0.907248i \(0.638179\pi\)
\(270\) 2.22857e6 148354.i 1.86044 0.123849i
\(271\) −1.00073e6 577773.i −0.827741 0.477897i 0.0253374 0.999679i \(-0.491934\pi\)
−0.853079 + 0.521782i \(0.825267\pi\)
\(272\) 927344. 252547.i 0.760008 0.206976i
\(273\) −810093. −0.657852
\(274\) −525068. + 1.06748e6i −0.422512 + 0.858981i
\(275\) −3.31491e6 + 1.91386e6i −2.64326 + 1.52609i
\(276\) 61904.7 + 25493.7i 0.0489160 + 0.0201447i
\(277\) −116345. −0.0911063 −0.0455532 0.998962i \(-0.514505\pi\)
−0.0455532 + 0.998962i \(0.514505\pi\)
\(278\) −315970. 155418.i −0.245208 0.120612i
\(279\) 224246. + 388406.i 0.172470 + 0.298727i
\(280\) 1.27992e6 + 430104.i 0.975634 + 0.327852i
\(281\) −113596. + 65584.8i −0.0858218 + 0.0495493i −0.542297 0.840187i \(-0.682445\pi\)
0.456475 + 0.889736i \(0.349112\pi\)
\(282\) 111762. 74842.0i 0.0836894 0.0560432i
\(283\) −775627. 447808.i −0.575688 0.332373i 0.183730 0.982977i \(-0.441183\pi\)
−0.759418 + 0.650603i \(0.774516\pi\)
\(284\) 1.50304e6 + 1.95053e6i 1.10579 + 1.43502i
\(285\) 876096. + 1.53647e6i 0.638909 + 1.12050i
\(286\) −1.38496e6 + 2.81566e6i −1.00120 + 2.03547i
\(287\) 121976. 211268.i 0.0874115 0.151401i
\(288\) −592847. + 204627.i −0.421174 + 0.145373i
\(289\) 269452. + 466705.i 0.189774 + 0.328698i
\(290\) 2.70086e6 1.80865e6i 1.88585 1.26287i
\(291\) −493420. + 284876.i −0.341573 + 0.197207i
\(292\) 1.19195e6 + 1.54683e6i 0.818090 + 1.06166i
\(293\) 888225.i 0.604441i 0.953238 + 0.302220i \(0.0977279\pi\)
−0.953238 + 0.302220i \(0.902272\pi\)
\(294\) −712394. + 47423.6i −0.480675 + 0.0319983i
\(295\) −1.68452e6 2.91768e6i −1.12699 1.95201i
\(296\) 20547.6 + 101670.i 0.0136311 + 0.0674473i
\(297\) 2.49619e6i 1.64205i
\(298\) 2.95832e6 196934.i 1.92976 0.128463i
\(299\) 81654.8 141430.i 0.0528207 0.0914881i
\(300\) 884321. 2.14734e6i 0.567292 1.37752i
\(301\) −524332. + 908169.i −0.333572 + 0.577764i
\(302\) −722720. 1.07924e6i −0.455987 0.680926i
\(303\) 1.32755e6 0.830702
\(304\) −1.13791e6 1.14085e6i −0.706191 0.708021i
\(305\) −1.29360e6 −0.796253
\(306\) 319862. + 477651.i 0.195281 + 0.291613i
\(307\) −354871. + 614655.i −0.214894 + 0.372208i −0.953240 0.302215i \(-0.902274\pi\)
0.738345 + 0.674423i \(0.235607\pi\)
\(308\) 574641. 1.39536e6i 0.345160 0.838128i
\(309\) −83600.7 + 144801.i −0.0498097 + 0.0862729i
\(310\) 2.26411e6 150721.i 1.33812 0.0890777i
\(311\) 798830.i 0.468332i 0.972197 + 0.234166i \(0.0752359\pi\)
−0.972197 + 0.234166i \(0.924764\pi\)
\(312\) −377122. 1.86602e6i −0.219329 1.08525i
\(313\) 1.27910e6 + 2.21546e6i 0.737977 + 1.27821i 0.953405 + 0.301694i \(0.0975522\pi\)
−0.215427 + 0.976520i \(0.569114\pi\)
\(314\) −236225. + 15725.3i −0.135208 + 0.00900069i
\(315\) 807605.i 0.458588i
\(316\) 1.33122e6 + 1.72756e6i 0.749951 + 0.973231i
\(317\) 1.83125e6 1.05727e6i 1.02352 0.590932i 0.108402 0.994107i \(-0.465427\pi\)
0.915123 + 0.403175i \(0.132093\pi\)
\(318\) −920966. + 616731.i −0.510711 + 0.342002i
\(319\) −1.81641e6 3.14611e6i −0.999394 1.73100i
\(320\) −394887. + 3.14846e6i −0.215575 + 1.71879i
\(321\) −846382. + 1.46598e6i −0.458462 + 0.794080i
\(322\) −34665.0 + 70475.1i −0.0186317 + 0.0378788i
\(323\) −745336. + 1.27507e6i −0.397508 + 0.680029i
\(324\) 410505. + 532724.i 0.217248 + 0.281929i
\(325\) −4.90591e6 2.83243e6i −2.57638 1.48748i
\(326\) 283503. 189850.i 0.147745 0.0989387i
\(327\) 325621. 187997.i 0.168400 0.0972259i
\(328\) 543430. + 182614.i 0.278907 + 0.0937239i
\(329\) 78896.6 + 136653.i 0.0401854 + 0.0696032i
\(330\) −3.49299e6 1.71812e6i −1.76568 0.868498i
\(331\) −2.12291e6 −1.06503 −0.532515 0.846421i \(-0.678753\pi\)
−0.532515 + 0.846421i \(0.678753\pi\)
\(332\) −2.91827e6 1.20181e6i −1.45305 0.598397i
\(333\) −53728.1 + 31020.0i −0.0265516 + 0.0153296i
\(334\) 489383. 994930.i 0.240039 0.488008i
\(335\) 175809. 0.0855914
\(336\) 240574. + 883380.i 0.116252 + 0.426874i
\(337\) −1.71764e6 991677.i −0.823865 0.475659i 0.0278823 0.999611i \(-0.491124\pi\)
−0.851748 + 0.523952i \(0.824457\pi\)
\(338\) −2.53789e6 + 168946.i −1.20832 + 0.0804369i
\(339\) 267057. + 154186.i 0.126213 + 0.0728693i
\(340\) 2.88280e6 385522.i 1.35244 0.180864i
\(341\) 2.53600e6i 1.18104i
\(342\) 430023. 862503.i 0.198804 0.398745i
\(343\) 2.13220e6i 0.978570i
\(344\) −2.33602e6 784997.i −1.06434 0.357661i
\(345\) 175453. + 101298.i 0.0793620 + 0.0458196i
\(346\) 93969.6 + 1.41160e6i 0.0421985 + 0.633903i
\(347\) −3.32833e6 1.92161e6i −1.48389 0.856726i −0.484061 0.875034i \(-0.660839\pi\)
−0.999832 + 0.0183083i \(0.994172\pi\)
\(348\) 2.03800e6 + 839291.i 0.902101 + 0.371505i
\(349\) 1.58478e6 0.696474 0.348237 0.937407i \(-0.386781\pi\)
0.348237 + 0.937407i \(0.386781\pi\)
\(350\) 2.44463e6 + 1.20245e6i 1.06670 + 0.524685i
\(351\) 3.19930e6 1.84712e6i 1.38608 0.800253i
\(352\) 3.48167e6 + 674080.i 1.49772 + 0.289971i
\(353\) −1.77425e6 −0.757841 −0.378921 0.925429i \(-0.623705\pi\)
−0.378921 + 0.925429i \(0.623705\pi\)
\(354\) 1.00828e6 2.04986e6i 0.427634 0.869394i
\(355\) 3.72586e6 + 6.45338e6i 1.56912 + 2.71779i
\(356\) −454550. 3.39898e6i −0.190089 1.42142i
\(357\) 726759. 419594.i 0.301800 0.174244i
\(358\) −2.50921e6 3.74701e6i −1.03474 1.54517i
\(359\) 3.43750e6 + 1.98464e6i 1.40769 + 0.812729i 0.995165 0.0982180i \(-0.0313142\pi\)
0.412523 + 0.910947i \(0.364648\pi\)
\(360\) −1.86028e6 + 375964.i −0.756525 + 0.152894i
\(361\) 2.47596e6 + 26641.2i 0.999942 + 0.0107593i
\(362\) −2.37401e6 1.16772e6i −0.952161 0.468345i
\(363\) −1.24057e6 + 2.14872e6i −0.494144 + 0.855882i
\(364\) 2.21363e6 296031.i 0.875691 0.117107i
\(365\) 2.95471e6 + 5.11771e6i 1.16087 + 2.01068i
\(366\) −488058. 728818.i −0.190445 0.284391i
\(367\) 3.58897e6 2.07209e6i 1.39093 0.803052i 0.397510 0.917598i \(-0.369875\pi\)
0.993418 + 0.114546i \(0.0365412\pi\)
\(368\) −178474. 47041.2i −0.0686998 0.0181075i
\(369\) 342895.i 0.131098i
\(370\) 20849.2 + 313195.i 0.00791744 + 0.118935i
\(371\) −650143. 1.12608e6i −0.245230 0.424751i
\(372\) 939135. + 1.21874e6i 0.351861 + 0.456619i
\(373\) 2.69219e6i 1.00192i 0.865470 + 0.500961i \(0.167020\pi\)
−0.865470 + 0.500961i \(0.832980\pi\)
\(374\) −215909. 3.24336e6i −0.0798162 1.19899i
\(375\) 1.75753e6 3.04413e6i 0.645394 1.11785i
\(376\) −278046. + 245351.i −0.101425 + 0.0894990i
\(377\) 2.68820e6 4.65610e6i 0.974110 1.68721i
\(378\) −1.47621e6 + 988557.i −0.531398 + 0.355854i
\(379\) 1.09327e6 0.390958 0.195479 0.980708i \(-0.437374\pi\)
0.195479 + 0.980708i \(0.437374\pi\)
\(380\) −2.95545e6 3.87835e6i −1.04994 1.37780i
\(381\) −989314. −0.349158
\(382\) −3.20198e6 + 2.14423e6i −1.12269 + 0.751818i
\(383\) −1.20211e6 + 2.08212e6i −0.418744 + 0.725285i −0.995813 0.0914095i \(-0.970863\pi\)
0.577070 + 0.816695i \(0.304196\pi\)
\(384\) −1.92284e6 + 965391.i −0.665448 + 0.334099i
\(385\) 2.28330e6 3.95479e6i 0.785076 1.35979i
\(386\) 43525.5 + 653836.i 0.0148688 + 0.223357i
\(387\) 1.47399e6i 0.500284i
\(388\) 1.24420e6 958750.i 0.419575 0.323315i
\(389\) −1.39735e6 2.42028e6i −0.468200 0.810947i 0.531139 0.847285i \(-0.321764\pi\)
−0.999340 + 0.0363377i \(0.988431\pi\)
\(390\) −382658. 5.74826e6i −0.127394 1.91370i
\(391\) 169175.i 0.0559621i
\(392\) 1.92933e6 389917.i 0.634148 0.128161i
\(393\) −1.55304e6 + 896648.i −0.507226 + 0.292847i
\(394\) 2.05153e6 + 3.06355e6i 0.665790 + 0.994224i
\(395\) 3.29995e6 + 5.71568e6i 1.06418 + 1.84321i
\(396\) 281156. + 2.10239e6i 0.0900969 + 0.673715i
\(397\) −384469. + 665920.i −0.122429 + 0.212054i −0.920725 0.390212i \(-0.872402\pi\)
0.798296 + 0.602265i \(0.205735\pi\)
\(398\) 3.40065e6 + 1.67270e6i 1.07611 + 0.529310i
\(399\) −1.21462e6 710001.i −0.381952 0.223268i
\(400\) −1.63176e6 + 6.19088e6i −0.509924 + 1.93465i
\(401\) −1.64536e6 949947.i −0.510974 0.295011i 0.222260 0.974987i \(-0.428657\pi\)
−0.733234 + 0.679976i \(0.761990\pi\)
\(402\) 66330.5 + 99051.4i 0.0204714 + 0.0305700i
\(403\) 3.25033e6 1.87658e6i 0.996932 0.575579i
\(404\) −3.62761e6 + 485126.i −1.10578 + 0.147877i
\(405\) 1.01760e6 + 1.76253e6i 0.308275 + 0.533948i
\(406\) −1.14123e6 + 2.32015e6i −0.343602 + 0.698555i
\(407\) 350805. 0.104973
\(408\) 1.30485e6 + 1.47873e6i 0.388069 + 0.439782i
\(409\) −4.29366e6 + 2.47895e6i −1.26917 + 0.732755i −0.974831 0.222946i \(-0.928433\pi\)
−0.294339 + 0.955701i \(0.595099\pi\)
\(410\) 1.55673e6 + 765719.i 0.457356 + 0.224962i
\(411\) −2.44100e6 −0.712792
\(412\) 175529. 426226.i 0.0509456 0.123708i
\(413\) 2.32087e6 + 1.33996e6i 0.669539 + 0.386559i
\(414\) −7332.62 110150.i −0.00210261 0.0315852i
\(415\) −8.27107e6 4.77530e6i −2.35744 1.36107i
\(416\) 1.71240e6 + 4.96118e6i 0.485146 + 1.40557i
\(417\) 722525.i 0.203476i
\(418\) −4.54431e6 + 3.00785e6i −1.27212 + 0.842006i
\(419\) 115561.i 0.0321570i −0.999871 0.0160785i \(-0.994882\pi\)
0.999871 0.0160785i \(-0.00511817\pi\)
\(420\) 367245. + 2.74614e6i 0.101586 + 0.759624i
\(421\) −2.78392e6 1.60730e6i −0.765511 0.441968i 0.0657597 0.997835i \(-0.479053\pi\)
−0.831271 + 0.555867i \(0.812386\pi\)
\(422\) 756630. 50368.4i 0.206825 0.0137682i
\(423\) −192078. 110896.i −0.0521946 0.0301346i
\(424\) 2.29122e6 2.02180e6i 0.618945 0.546165i
\(425\) 5.86831e6 1.57594
\(426\) −2.23013e6 + 4.53393e6i −0.595397 + 1.21046i
\(427\) 891138. 514499.i 0.236524 0.136557i
\(428\) 1.77708e6 4.31516e6i 0.468918 1.13864i
\(429\) −6.43854e6 −1.68906
\(430\) −6.69186e6 3.29156e6i −1.74532 0.858482i
\(431\) −2.31268e6 4.00568e6i −0.599683 1.03868i −0.992868 0.119222i \(-0.961960\pi\)
0.393184 0.919460i \(-0.371373\pi\)
\(432\) −2.96432e6 2.94020e6i −0.764216 0.757996i
\(433\) −2.29795e6 + 1.32672e6i −0.589007 + 0.340063i −0.764705 0.644381i \(-0.777115\pi\)
0.175698 + 0.984444i \(0.443782\pi\)
\(434\) −1.49976e6 + 1.00433e6i −0.382206 + 0.255947i
\(435\) 5.77617e6 + 3.33487e6i 1.46358 + 0.844999i
\(436\) −821077. + 632704.i −0.206856 + 0.159399i
\(437\) 246386. 140489.i 0.0617180 0.0351915i
\(438\) −1.76856e6 + 3.59553e6i −0.440488 + 0.895526i
\(439\) −1.82636e6 + 3.16334e6i −0.452298 + 0.783402i −0.998528 0.0542323i \(-0.982729\pi\)
0.546231 + 0.837635i \(0.316062\pi\)
\(440\) 1.01727e7 + 3.41842e6i 2.50497 + 0.841770i
\(441\) 588644. + 1.01956e6i 0.144131 + 0.249642i
\(442\) 3.99717e6 2.67673e6i 0.973189 0.651703i
\(443\) 4.03721e6 2.33089e6i 0.977400 0.564302i 0.0759160 0.997114i \(-0.475812\pi\)
0.901484 + 0.432812i \(0.142479\pi\)
\(444\) −168588. + 129911.i −0.0405854 + 0.0312743i
\(445\) 1.03773e7i 2.48419i
\(446\) −2.41352e6 + 160667.i −0.574531 + 0.0382462i
\(447\) 3.04181e6 + 5.26856e6i 0.720050 + 1.24716i
\(448\) −980194. 2.32597e6i −0.230737 0.547532i
\(449\) 1.79971e6i 0.421295i −0.977562 0.210648i \(-0.932443\pi\)
0.977562 0.210648i \(-0.0675572\pi\)
\(450\) −3.82086e6 + 254352.i −0.889467 + 0.0592113i
\(451\) 969450. 1.67914e6i 0.224432 0.388727i
\(452\) −786093. 323730.i −0.180979 0.0745311i
\(453\) 1.33258e6 2.30810e6i 0.305105 0.528457i
\(454\) −732186. 1.09337e6i −0.166718 0.248960i
\(455\) 6.75836e6 1.53043
\(456\) 1.07002e6 3.12835e6i 0.240979 0.704537i
\(457\) 6.84586e6 1.53334 0.766669 0.642043i \(-0.221913\pi\)
0.766669 + 0.642043i \(0.221913\pi\)
\(458\) −196353. 293215.i −0.0437396 0.0653164i
\(459\) −1.91346e6 + 3.31421e6i −0.423924 + 0.734257i
\(460\) −516452. 212686.i −0.113798 0.0468646i
\(461\) −105229. + 182263.i −0.0230613 + 0.0399434i −0.877326 0.479895i \(-0.840675\pi\)
0.854264 + 0.519839i \(0.174008\pi\)
\(462\) 3.08960e6 205673.i 0.673437 0.0448303i
\(463\) 2.62426e6i 0.568923i −0.958687 0.284462i \(-0.908185\pi\)
0.958687 0.284462i \(-0.0918148\pi\)
\(464\) −5.87564e6 1.54867e6i −1.26695 0.333936i
\(465\) 2.32801e6 + 4.03223e6i 0.499290 + 0.864795i
\(466\) 5.46793e6 363997.i 1.16643 0.0776485i
\(467\) 8.24187e6i 1.74877i 0.485230 + 0.874387i \(0.338736\pi\)
−0.485230 + 0.874387i \(0.661264\pi\)
\(468\) −2.48654e6 + 1.91607e6i −0.524784 + 0.404387i
\(469\) −121112. + 69923.9i −0.0254246 + 0.0146789i
\(470\) −932393. + 624384.i −0.194695 + 0.130379i
\(471\) −242891. 420700.i −0.0504498 0.0873816i
\(472\) −2.00610e6 + 5.96982e6i −0.414474 + 1.23341i
\(473\) −4.16733e6 + 7.21803e6i −0.856457 + 1.48343i
\(474\) −1.97520e6 + 4.01565e6i −0.403799 + 0.820936i
\(475\) −4.87325e6 8.54657e6i −0.991025 1.73803i
\(476\) −1.83258e6 + 1.41214e6i −0.370719 + 0.285668i
\(477\) 1.58280e6 + 913832.i 0.318516 + 0.183895i
\(478\) 1.00782e6 674891.i 0.201749 0.135103i
\(479\) −2.65647e6 + 1.53371e6i −0.529012 + 0.305425i −0.740614 0.671931i \(-0.765465\pi\)
0.211602 + 0.977356i \(0.432132\pi\)
\(480\) −6.15465e6 + 2.12434e6i −1.21927 + 0.420844i
\(481\) 259587. + 449618.i 0.0511589 + 0.0886097i
\(482\) 298255. + 146705.i 0.0584751 + 0.0287625i
\(483\) −161155. −0.0314322
\(484\) 2.60471e6 6.32485e6i 0.505413 1.22726i
\(485\) 4.11645e6 2.37663e6i 0.794636 0.458783i
\(486\) 1.86468e6 3.79096e6i 0.358108 0.728046i
\(487\) −3.54472e6 −0.677266 −0.338633 0.940918i \(-0.609965\pi\)
−0.338633 + 0.940918i \(0.609965\pi\)
\(488\) 1.59998e6 + 1.81319e6i 0.304134 + 0.344661i
\(489\) 606311. + 350054.i 0.114663 + 0.0662007i
\(490\) 5.94328e6 395641.i 1.11824 0.0744408i
\(491\) 6.12331e6 + 3.53530e6i 1.14626 + 0.661793i 0.947973 0.318351i \(-0.103129\pi\)
0.198286 + 0.980144i \(0.436463\pi\)
\(492\) 155926. + 1.16596e6i 0.0290406 + 0.217156i
\(493\) 5.56950e6i 1.03205i
\(494\) −7.21777e6 3.59860e6i −1.33072 0.663463i
\(495\) 6.41876e6i 1.17744i
\(496\) −3.01160e6 2.98709e6i −0.549659 0.545186i
\(497\) −5.13335e6 2.96374e6i −0.932202 0.538207i
\(498\) −430144. 6.46159e6i −0.0777215 1.16753i
\(499\) 14359.8 + 8290.65i 0.00258165 + 0.00149052i 0.501290 0.865279i \(-0.332859\pi\)
−0.498709 + 0.866770i \(0.666192\pi\)
\(500\) −3.69014e6 + 8.96052e6i −0.660112 + 1.60291i
\(501\) 2.27510e6 0.404954
\(502\) 279309. + 137386.i 0.0494682 + 0.0243322i
\(503\) −926489. + 534909.i −0.163275 + 0.0942670i −0.579411 0.815035i \(-0.696717\pi\)
0.416136 + 0.909302i \(0.363384\pi\)
\(504\) 1.13198e6 998877.i 0.198502 0.175160i
\(505\) −1.10754e7 −1.93254
\(506\) −275514. + 560129.i −0.0478374 + 0.0972550i
\(507\) −2.60951e6 4.51981e6i −0.450857 0.780908i
\(508\) 2.70336e6 361524.i 0.464776 0.0621552i
\(509\) 1.09783e6 633835.i 0.187820 0.108438i −0.403142 0.915138i \(-0.632082\pi\)
0.590962 + 0.806700i \(0.298748\pi\)
\(510\) 3.32065e6 + 4.95873e6i 0.565324 + 0.844199i
\(511\) −4.07089e6 2.35033e6i −0.689664 0.398177i
\(512\) 4.90147e6 3.34065e6i 0.826327 0.563191i
\(513\) 6.41580e6 + 34515.9i 1.07636 + 0.00579062i
\(514\) −1.01345e7 4.98491e6i −1.69197 0.832241i
\(515\) 697455. 1.20803e6i 0.115877 0.200705i
\(516\) −670271. 5.01207e6i −0.110822 0.828691i
\(517\) 627062. + 1.08610e6i 0.103177 + 0.178708i
\(518\) −138928. 207462.i −0.0227492 0.0339714i
\(519\) −2.51397e6 + 1.45144e6i −0.409677 + 0.236527i
\(520\) 3.14621e6 + 1.55676e7i 0.510246 + 2.52472i
\(521\) 1.51843e6i 0.245075i −0.992464 0.122538i \(-0.960897\pi\)
0.992464 0.122538i \(-0.0391032\pi\)
\(522\) −241401. 3.62630e6i −0.0387759 0.582489i
\(523\) 787801. + 1.36451e6i 0.125940 + 0.218134i 0.922100 0.386952i \(-0.126472\pi\)
−0.796160 + 0.605086i \(0.793139\pi\)
\(524\) 3.91611e6 3.01767e6i 0.623055 0.480113i
\(525\) 5.59010e6i 0.885160i
\(526\) −188667. 2.83414e6i −0.0297326 0.446640i
\(527\) −1.94398e6 + 3.36707e6i −0.304906 + 0.528112i
\(528\) 1.91206e6 + 7.02101e6i 0.298481 + 1.09601i
\(529\) −3.20193e6 + 5.54590e6i −0.497476 + 0.861654i
\(530\) 7.68333e6 5.14520e6i 1.18812 0.795633i
\(531\) −3.76685e6 −0.579752
\(532\) 3.57847e6 + 1.49626e6i 0.548174 + 0.229207i
\(533\) 2.86948e6 0.437507
\(534\) 5.84660e6 3.91522e6i 0.887259 0.594159i
\(535\) 7.06110e6 1.22302e7i 1.06657 1.84735i
\(536\) −217448. 246424.i −0.0326921 0.0370486i
\(537\) 4.62660e6 8.01351e6i 0.692351 1.19919i
\(538\) −79712.2 1.19743e6i −0.0118732 0.178359i
\(539\) 6.65698e6i 0.986974i
\(540\) −7.71191e6 1.00080e7i −1.13809 1.47693i
\(541\) 1.31103e6 + 2.27076e6i 0.192583 + 0.333564i 0.946106 0.323858i \(-0.104980\pi\)
−0.753522 + 0.657422i \(0.771647\pi\)
\(542\) 434187. + 6.52232e6i 0.0634861 + 0.953682i
\(543\) 5.42861e6i 0.790113i
\(544\) −4.10593e6 3.56387e6i −0.594860 0.516327i
\(545\) −2.71655e6 + 1.56840e6i −0.391766 + 0.226186i
\(546\) 2.54984e6 + 3.80767e6i 0.366042 + 0.546611i
\(547\) 2.65512e6 + 4.59881e6i 0.379417 + 0.657169i 0.990977 0.134029i \(-0.0427914\pi\)
−0.611561 + 0.791197i \(0.709458\pi\)
\(548\) 6.67016e6 892010.i 0.948822 0.126887i
\(549\) −723173. + 1.25257e6i −0.102403 + 0.177367i
\(550\) 1.94296e7 + 9.55698e6i 2.73879 + 1.34714i
\(551\) 8.11138e6 4.62511e6i 1.13819 0.648997i
\(552\) −75022.3 371213.i −0.0104795 0.0518533i
\(553\) −4.54655e6 2.62495e6i −0.632221 0.365013i
\(554\) 366206. + 546856.i 0.0506933 + 0.0757004i
\(555\) −557779. + 322034.i −0.0768651 + 0.0443781i
\(556\) 264032. + 1.97434e6i 0.0362217 + 0.270854i
\(557\) −537055. 930207.i −0.0733468 0.127040i 0.827019 0.562173i \(-0.190035\pi\)
−0.900366 + 0.435133i \(0.856701\pi\)
\(558\) 1.11979e6 2.27656e6i 0.152247 0.309524i
\(559\) −1.23349e7 −1.66958
\(560\) −2.00703e6 7.36977e6i −0.270449 0.993079i
\(561\) 5.77620e6 3.33489e6i 0.774882 0.447378i
\(562\) 665821. + 327501.i 0.0889235 + 0.0437393i
\(563\) −8.11160e6 −1.07854 −0.539269 0.842133i \(-0.681299\pi\)
−0.539269 + 0.842133i \(0.681299\pi\)
\(564\) −703558. 289741.i −0.0931327 0.0383541i
\(565\) −2.22798e6 1.28632e6i −0.293623 0.169523i
\(566\) 336521. + 5.05519e6i 0.0441541 + 0.663279i
\(567\) −1.40201e6 809449.i −0.183144 0.105738i
\(568\) 4.43713e6 1.32042e7i 0.577074 1.71728i
\(569\) 7.50673e6i 0.972009i 0.873956 + 0.486004i \(0.161546\pi\)
−0.873956 + 0.486004i \(0.838454\pi\)
\(570\) 4.46428e6 8.95408e6i 0.575525 1.15434i
\(571\) 5.77940e6i 0.741809i 0.928671 + 0.370905i \(0.120952\pi\)
−0.928671 + 0.370905i \(0.879048\pi\)
\(572\) 1.75937e7 2.35283e6i 2.24836 0.300677i
\(573\) −6.84788e6 3.95362e6i −0.871303 0.503047i
\(574\) −1.37695e6 + 91662.7i −0.174437 + 0.0116122i
\(575\) −975949. 563465.i −0.123100 0.0710718i
\(576\) 2.82784e6 + 2.14247e6i 0.355140 + 0.269066i
\(577\) −3.26363e6 −0.408095 −0.204047 0.978961i \(-0.565410\pi\)
−0.204047 + 0.978961i \(0.565410\pi\)
\(578\) 1.34552e6 2.73550e6i 0.167522 0.340578i
\(579\) −1.16444e6 + 672288.i −0.144351 + 0.0833411i
\(580\) −1.70024e7 7.00195e6i −2.09865 0.864269i
\(581\) 7.59704e6 0.933693
\(582\) 2.89208e6 + 1.42254e6i 0.353918 + 0.174084i
\(583\) −5.16727e6 8.94997e6i −0.629636 1.09056i
\(584\) 3.51877e6 1.04713e7i 0.426932 1.27048i
\(585\) −8.22678e6 + 4.74973e6i −0.993894 + 0.573825i
\(586\) 4.17491e6 2.79576e6i 0.502231 0.336323i
\(587\) 8.22017e6 + 4.74592e6i 0.984659 + 0.568493i 0.903673 0.428222i \(-0.140860\pi\)
0.0809853 + 0.996715i \(0.474193\pi\)
\(588\) 2.46522e6 + 3.19919e6i 0.294044 + 0.381589i
\(589\) 6.51813e6 + 35066.4i 0.774168 + 0.00416488i
\(590\) −8.41176e6 + 1.71014e7i −0.994848 + 2.02256i
\(591\) −3.78270e6 + 6.55183e6i −0.445485 + 0.771603i
\(592\) 413204. 416595.i 0.0484575 0.0488551i
\(593\) −8.28769e6 1.43547e7i −0.967825 1.67632i −0.701825 0.712349i \(-0.747631\pi\)
−0.266000 0.963973i \(-0.585702\pi\)
\(594\) −1.17328e7 + 7.85695e6i −1.36438 + 0.913667i
\(595\) −6.06312e6 + 3.50055e6i −0.702108 + 0.405362i
\(596\) −1.02372e7 1.32851e7i −1.18050 1.53196i
\(597\) 7.77624e6i 0.892964i
\(598\) −921779. + 61362.3i −0.105408 + 0.00701695i
\(599\) −2.33169e6 4.03861e6i −0.265524 0.459901i 0.702177 0.712003i \(-0.252212\pi\)
−0.967701 + 0.252101i \(0.918878\pi\)
\(600\) −1.28766e7 + 2.60236e6i −1.46023 + 0.295113i
\(601\) 885235.i 0.0999707i −0.998750 0.0499853i \(-0.984083\pi\)
0.998750 0.0499853i \(-0.0159175\pi\)
\(602\) 5.91903e6 394027.i 0.665671 0.0443133i
\(603\) 98284.2 170233.i 0.0110075 0.0190656i
\(604\) −2.79791e6 + 6.79399e6i −0.312063 + 0.757761i
\(605\) 1.03497e7 1.79261e7i 1.14958 1.99112i
\(606\) −4.17858e6 6.23988e6i −0.462218 0.690231i
\(607\) 1.23009e7 1.35508 0.677540 0.735486i \(-0.263046\pi\)
0.677540 + 0.735486i \(0.263046\pi\)
\(608\) −1.78069e6 + 8.93942e6i −0.195357 + 0.980732i
\(609\) −5.30546e6 −0.579669
\(610\) 4.07172e6 + 6.08030e6i 0.443050 + 0.661608i
\(611\) −928023. + 1.60738e6i −0.100567 + 0.174187i
\(612\) 1.23830e6 3.00689e6i 0.133644 0.324518i
\(613\) −8.07473e6 + 1.39859e7i −0.867915 + 1.50327i −0.00379111 + 0.999993i \(0.501207\pi\)
−0.864124 + 0.503280i \(0.832127\pi\)
\(614\) 4.00605e6 266680.i 0.428840 0.0285476i
\(615\) 3.55976e6i 0.379519i
\(616\) −8.36734e6 + 1.69104e6i −0.888456 + 0.179557i
\(617\) −689725. 1.19464e6i −0.0729395 0.126335i 0.827249 0.561836i \(-0.189905\pi\)
−0.900188 + 0.435501i \(0.856571\pi\)
\(618\) 943746. 62824.6i 0.0993994 0.00661696i
\(619\) 1.54113e7i 1.61664i 0.588746 + 0.808318i \(0.299622\pi\)
−0.588746 + 0.808318i \(0.700378\pi\)
\(620\) −7.83492e6 1.01676e7i −0.818569 1.06228i
\(621\) 636449. 367454.i 0.0662269 0.0382361i
\(622\) 3.75473e6 2.51438e6i 0.389137 0.260589i
\(623\) 4.12733e6 + 7.14874e6i 0.426038 + 0.737920i
\(624\) −7.58380e6 + 7.64603e6i −0.779696 + 0.786094i
\(625\) −4.89339e6 + 8.47560e6i −0.501083 + 0.867901i
\(626\) 6.38725e6 1.29855e7i 0.651446 1.32441i
\(627\) −9.65368e6 5.64302e6i −0.980672 0.573248i
\(628\) 817450. + 1.06083e6i 0.0827108 + 0.107336i
\(629\) −465767. 268911.i −0.0469399 0.0271008i
\(630\) 3.79598e6 2.54200e6i 0.381041 0.255167i
\(631\) −1.60506e7 + 9.26684e6i −1.60479 + 0.926527i −0.614282 + 0.789087i \(0.710554\pi\)
−0.990510 + 0.137440i \(0.956112\pi\)
\(632\) 3.92991e6 1.16948e7i 0.391373 1.16466i
\(633\) 777983. + 1.34751e6i 0.0771722 + 0.133666i
\(634\) −1.07335e7 5.27954e6i −1.06052 0.521642i
\(635\) 8.25354e6 0.812280
\(636\) 5.79763e6 + 2.38759e6i 0.568339 + 0.234055i
\(637\) 8.53210e6 4.92601e6i 0.833120 0.481002i
\(638\) −9.07034e6 + 1.84403e7i −0.882210 + 1.79356i
\(639\) 8.33160e6 0.807191
\(640\) 1.60416e7 8.05396e6i 1.54810 0.777248i
\(641\) 3.71188e6 + 2.14305e6i 0.356820 + 0.206010i 0.667685 0.744444i \(-0.267285\pi\)
−0.310865 + 0.950454i \(0.600619\pi\)
\(642\) 9.55457e6 636042.i 0.914900 0.0609044i
\(643\) −1.40576e7 8.11615e6i −1.34086 0.774146i −0.353926 0.935273i \(-0.615154\pi\)
−0.986934 + 0.161128i \(0.948487\pi\)
\(644\) 440365. 58890.6i 0.0418406 0.00559540i
\(645\) 1.53022e7i 1.44829i
\(646\) 8.33920e6 510090.i 0.786218 0.0480912i
\(647\) 5.56066e6i 0.522235i −0.965307 0.261117i \(-0.915909\pi\)
0.965307 0.261117i \(-0.0840910\pi\)
\(648\) 1.21186e6 3.60629e6i 0.113374 0.337383i
\(649\) 1.84460e7 + 1.06498e7i 1.71906 + 0.992501i
\(650\) 2.12852e6 + 3.19745e7i 0.197604 + 2.96838i
\(651\) −3.20745e6 1.85182e6i −0.296624 0.171256i
\(652\) −1.78470e6 734978.i −0.164417 0.0677104i
\(653\) −1.52769e7 −1.40201 −0.701007 0.713155i \(-0.747266\pi\)
−0.701007 + 0.713155i \(0.747266\pi\)
\(654\) −1.90856e6 938775.i −0.174486 0.0858256i
\(655\) 1.29565e7 7.48046e6i 1.18001 0.681279i
\(656\) −852152. 3.12907e6i −0.0773138 0.283894i
\(657\) 6.60719e6 0.597177
\(658\) 393975. 800963.i 0.0354735 0.0721187i
\(659\) −457868. 793051.i −0.0410702 0.0711357i 0.844760 0.535146i \(-0.179743\pi\)
−0.885830 + 0.464010i \(0.846410\pi\)
\(660\) 2.91882e6 + 2.18260e7i 0.260824 + 1.95036i
\(661\) −1.14075e7 + 6.58613e6i −1.01552 + 0.586309i −0.912802 0.408401i \(-0.866086\pi\)
−0.102715 + 0.994711i \(0.532753\pi\)
\(662\) 6.68204e6 + 9.97830e6i 0.592603 + 0.884935i
\(663\) 8.54851e6 + 4.93548e6i 0.755278 + 0.436060i
\(664\) 3.53665e6 + 1.74995e7i 0.311294 + 1.54030i
\(665\) 1.01332e7 + 5.92332e6i 0.888572 + 0.519411i
\(666\) 314916. + 154900.i 0.0275112 + 0.0135321i
\(667\) 534773. 926254.i 0.0465431 0.0806150i
\(668\) −6.21683e6 + 831386.i −0.539049 + 0.0720878i
\(669\) −2.48163e6 4.29831e6i −0.214374 0.371307i
\(670\) −553375. 826355.i −0.0476247 0.0711180i
\(671\) 7.08267e6 4.08918e6i 0.607283 0.350615i
\(672\) 3.39492e6 3.91128e6i 0.290005 0.334115i
\(673\) 1.08581e7i 0.924090i 0.886856 + 0.462045i \(0.152884\pi\)
−0.886856 + 0.462045i \(0.847116\pi\)
\(674\) 745229. + 1.11948e7i 0.0631888 + 0.949217i
\(675\) −1.27462e7 2.20770e7i −1.07676 1.86501i
\(676\) 8.78230e6 + 1.13970e7i 0.739166 + 0.959235i
\(677\) 2.19193e7i 1.83804i 0.394208 + 0.919021i \(0.371019\pi\)
−0.394208 + 0.919021i \(0.628981\pi\)
\(678\) −115868. 1.74056e6i −0.00968030 0.145417i
\(679\) −1.89050e6 + 3.27444e6i −0.157363 + 0.272560i
\(680\) −1.08859e7 1.23365e7i −0.902803 1.02311i
\(681\) 1.35004e6 2.33834e6i 0.111552 0.193214i
\(682\) −1.19199e7 + 7.98227e6i −0.981326 + 0.657152i
\(683\) −1.96139e7 −1.60883 −0.804417 0.594065i \(-0.797522\pi\)
−0.804417 + 0.594065i \(0.797522\pi\)
\(684\) −5.40755e6 + 693569.i −0.441937 + 0.0566825i
\(685\) 2.03645e7 1.65824
\(686\) −1.00219e7 + 6.71126e6i −0.813095 + 0.544495i
\(687\) 362045. 627081.i 0.0292665 0.0506911i
\(688\) 3.66311e6 + 1.34508e7i 0.295038 + 1.08337i
\(689\) 7.64731e6 1.32455e7i 0.613707 1.06297i
\(690\) −76123.6 1.14352e6i −0.00608690 0.0914369i
\(691\) 243069.i 0.0193658i 0.999953 + 0.00968288i \(0.00308221\pi\)
−0.999953 + 0.00968288i \(0.996918\pi\)
\(692\) 6.33917e6 4.88482e6i 0.503231 0.387778i
\(693\) −2.55291e6 4.42176e6i −0.201930 0.349754i
\(694\) 1.44406e6 + 2.16925e7i 0.113812 + 1.70967i
\(695\) 6.02781e6i 0.473366i
\(696\) −2.46985e6 1.22209e7i −0.193262 0.956270i
\(697\) −2.57430e6 + 1.48627e6i −0.200713 + 0.115882i
\(698\) −4.98822e6 7.44891e6i −0.387531 0.578701i
\(699\) 5.62225e6 + 9.73802e6i 0.435228 + 0.753838i
\(700\) −2.04279e6 1.52753e7i −0.157571 1.17827i
\(701\) −5.62428e6 + 9.74154e6i −0.432287 + 0.748742i −0.997070 0.0764969i \(-0.975626\pi\)
0.564783 + 0.825239i \(0.308960\pi\)
\(702\) −1.87521e7 9.22370e6i −1.43617 0.706419i
\(703\) −4850.73 + 901653.i −0.000370185 + 0.0688099i
\(704\) −7.79048e6 1.84866e7i −0.592424 1.40581i
\(705\) −1.99405e6 1.15127e6i −0.151100 0.0872376i
\(706\) 5.58460e6 + 8.33949e6i 0.421677 + 0.629692i
\(707\) 7.62961e6 4.40496e6i 0.574055 0.331431i
\(708\) −1.28086e7 + 1.71291e6i −0.960325 + 0.128426i
\(709\) 8.16847e6 + 1.41482e7i 0.610275 + 1.05703i 0.991194 + 0.132418i \(0.0422743\pi\)
−0.380919 + 0.924608i \(0.624392\pi\)
\(710\) 1.86053e7 3.78252e7i 1.38513 2.81602i
\(711\) 7.37919e6 0.547438
\(712\) −1.45454e7 + 1.28351e7i −1.07529 + 0.948852i
\(713\) 646601. 373315.i 0.0476335 0.0275012i
\(714\) −4.25975e6 2.09527e6i −0.312708 0.153813i
\(715\) 5.37147e7 3.92942
\(716\) −9.71409e6 + 2.35881e7i −0.708140 + 1.71953i
\(717\) 2.15535e6 + 1.24439e6i 0.156574 + 0.0903983i
\(718\) −1.49143e6 2.24041e7i −0.107967 1.62187i
\(719\) 1.21236e6 + 699955.i 0.0874597 + 0.0504949i 0.543092 0.839673i \(-0.317253\pi\)
−0.455632 + 0.890168i \(0.650587\pi\)
\(720\) 7.62254e6 + 7.56050e6i 0.547984 + 0.543525i
\(721\) 1.10958e6i 0.0794917i
\(722\) −7.66805e6 1.17216e7i −0.547447 0.836840i
\(723\) 682018.i 0.0485233i
\(724\) 1.98377e6 + 1.48340e7i 0.140652 + 1.05175i
\(725\) −3.21297e7 1.85501e7i −2.27019 1.31069i
\(726\) 1.40044e7 932266.i 0.986105 0.0656445i
\(727\) 2.87156e6 + 1.65789e6i 0.201503 + 0.116338i 0.597356 0.801976i \(-0.296218\pi\)
−0.395853 + 0.918314i \(0.629551\pi\)
\(728\) −8.35900e6 9.47290e6i −0.584556 0.662452i
\(729\) 1.37759e7 0.960063
\(730\) 1.47545e7 2.99964e7i 1.02475 2.08335i
\(731\) 1.10660e7 6.38897e6i 0.765945 0.442219i
\(732\) −1.88945e6 + 4.58803e6i −0.130334 + 0.316482i
\(733\) 4.59949e6 0.316191 0.158095 0.987424i \(-0.449465\pi\)
0.158095 + 0.987424i \(0.449465\pi\)
\(734\) −2.10360e7 1.03471e7i −1.44120 0.708890i
\(735\) 6.11101e6 + 1.05846e7i 0.417249 + 0.722696i
\(736\) 340655. + 986946.i 0.0231803 + 0.0671582i
\(737\) −962584. + 555748.i −0.0652785 + 0.0376886i
\(738\) 1.61171e6 1.07929e6i 0.108929 0.0729453i
\(739\) 597732. + 345101.i 0.0402620 + 0.0232453i 0.519996 0.854169i \(-0.325933\pi\)
−0.479734 + 0.877414i \(0.659267\pi\)
\(740\) 1.40648e6 1.08380e6i 0.0944180 0.0727564i
\(741\) 89028.5 1.65486e7i 0.00595640 1.10717i
\(742\) −3.24653e6 + 6.60029e6i −0.216476 + 0.440102i
\(743\) −1.33741e6 + 2.31646e6i −0.0888776 + 0.153941i −0.907037 0.421051i \(-0.861661\pi\)
0.818159 + 0.574992i \(0.194995\pi\)
\(744\) 2.77243e6 8.25030e6i 0.183624 0.546434i
\(745\) −2.53769e7 4.39540e7i −1.67512 2.90140i
\(746\) 1.26541e7 8.47390e6i 0.832499 0.557489i
\(747\) −9.24769e6 + 5.33915e6i −0.606361 + 0.350083i
\(748\) −1.45651e7 + 1.12236e7i −0.951833 + 0.733461i
\(749\) 1.12335e7i 0.731664i
\(750\) −1.98403e7 + 1.32076e6i −1.28794 + 0.0857372i
\(751\) 3.44587e6 + 5.96843e6i 0.222946 + 0.386154i 0.955701 0.294339i \(-0.0950993\pi\)
−0.732755 + 0.680492i \(0.761766\pi\)
\(752\) 2.02839e6 + 534633.i 0.130800 + 0.0344755i
\(753\) 638694.i 0.0410493i
\(754\) −3.03463e7 + 2.02014e6i −1.94392 + 0.129406i
\(755\) −1.11173e7 + 1.92558e7i −0.709796 + 1.22940i
\(756\) 9.29301e6 + 3.82707e6i 0.591360 + 0.243535i
\(757\) 2.68488e6 4.65034e6i 0.170288 0.294948i −0.768232 0.640171i \(-0.778863\pi\)
0.938521 + 0.345223i \(0.112197\pi\)
\(758\) −3.44116e6 5.13869e6i −0.217536 0.324847i
\(759\) −1.28084e6 −0.0807033
\(760\) −8.92682e6 + 2.60989e7i −0.560613 + 1.63903i
\(761\) 2.27104e6 0.142156 0.0710778 0.997471i \(-0.477356\pi\)
0.0710778 + 0.997471i \(0.477356\pi\)
\(762\) 3.11395e6 + 4.65006e6i 0.194278 + 0.290116i
\(763\) 1.24759e6 2.16089e6i 0.0775818 0.134376i
\(764\) 2.01570e7 + 8.30109e6i 1.24937 + 0.514519i
\(765\) 4.92032e6 8.52225e6i 0.303976 0.526503i
\(766\) 1.35703e7 903368.i 0.835638 0.0556279i
\(767\) 3.15225e7i 1.93478i
\(768\) 1.05899e7 + 5.99923e6i 0.647872 + 0.367023i
\(769\) −8.46682e6 1.46650e7i