Properties

Label 21.33.h.b.2.19
Level $21$
Weight $33$
Character 21.2
Analytic conductor $136.220$
Analytic rank $0$
Dimension $164$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 21 = 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 33 \)
Character orbit: \([\chi]\) \(=\) 21.h (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(136.219975799\)
Analytic rank: \(0\)
Dimension: \(164\)
Relative dimension: \(82\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 2.19
Character \(\chi\) \(=\) 21.2
Dual form 21.33.h.b.11.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-68807.1 - 39725.8i) q^{2} +(-3.56249e7 + 2.41638e7i) q^{3} +(1.00879e9 + 1.74728e9i) q^{4} +(-1.14635e11 - 6.61847e10i) q^{5} +(3.41117e12 - 2.47415e11i) q^{6} +(-3.31594e13 + 2.20914e12i) q^{7} +1.80942e14i q^{8} +(6.85242e14 - 1.72166e15i) q^{9} +O(q^{10})\) \(q+(-68807.1 - 39725.8i) q^{2} +(-3.56249e7 + 2.41638e7i) q^{3} +(1.00879e9 + 1.74728e9i) q^{4} +(-1.14635e11 - 6.61847e10i) q^{5} +(3.41117e12 - 2.47415e11i) q^{6} +(-3.31594e13 + 2.20914e12i) q^{7} +1.80942e14i q^{8} +(6.85242e14 - 1.72166e15i) q^{9} +(5.25848e15 + 9.10795e15i) q^{10} +(-3.22055e16 + 1.85938e16i) q^{11} +(-7.81590e16 - 3.78703e16i) q^{12} -2.60224e17 q^{13} +(2.36936e18 + 1.16528e18i) q^{14} +(5.68314e18 - 4.12203e17i) q^{15} +(1.15208e19 - 1.99546e19i) q^{16} +(-2.15862e19 + 1.24628e19i) q^{17} +(-1.15544e20 + 9.12409e19i) q^{18} +(-1.74419e20 + 3.02102e20i) q^{19} -2.67067e20i q^{20} +(1.12792e21 - 8.79958e20i) q^{21} +2.95462e21 q^{22} +(-2.32881e21 - 1.34454e21i) q^{23} +(-4.37224e21 - 6.44602e21i) q^{24} +(-2.88070e21 - 4.98951e21i) q^{25} +(1.79053e22 + 1.03376e22i) q^{26} +(1.71903e22 + 7.78921e22i) q^{27} +(-3.73110e22 - 5.57102e22i) q^{28} +2.89529e23i q^{29} +(-4.07415e23 - 1.97405e23i) q^{30} +(-4.80546e23 - 8.32329e23i) q^{31} +(-9.12401e23 + 5.26775e23i) q^{32} +(6.98018e23 - 1.44061e24i) q^{33} +1.98038e24 q^{34} +(3.94745e24 + 1.94140e24i) q^{35} +(3.69949e24 - 5.39493e23i) q^{36} +(-2.66139e24 + 4.60966e24i) q^{37} +(2.40025e25 - 1.38578e25i) q^{38} +(9.27046e24 - 6.28801e24i) q^{39} +(1.19756e25 - 2.07423e25i) q^{40} +4.70466e25i q^{41} +(-1.12566e26 + 1.57399e25i) q^{42} +1.77000e26 q^{43} +(-6.49773e25 - 3.75146e25i) q^{44} +(-1.92501e26 + 1.52011e26i) q^{45} +(1.06826e26 + 1.85028e26i) q^{46} +(1.22748e25 + 7.08685e24i) q^{47} +(7.17521e25 + 9.89265e26i) q^{48} +(1.09467e27 - 1.46508e26i) q^{49} +4.57752e26i q^{50} +(4.67857e26 - 9.65591e26i) q^{51} +(-2.62512e26 - 4.54685e26i) q^{52} +(3.62521e27 - 2.09301e27i) q^{53} +(1.91151e27 - 6.04243e27i) q^{54} +4.92251e27 q^{55} +(-3.99725e26 - 5.99992e27i) q^{56} +(-1.08629e27 - 1.49769e28i) q^{57} +(1.15018e28 - 1.99217e28i) q^{58} +(-9.55556e26 + 5.51691e26i) q^{59} +(6.45334e27 + 9.51421e27i) q^{60} +(3.03025e28 - 5.24855e28i) q^{61} +7.63602e28i q^{62} +(-1.89188e28 + 5.86032e28i) q^{63} -1.52566e28 q^{64} +(2.98309e28 + 1.72229e28i) q^{65} +(-1.05258e29 + 7.13948e28i) q^{66} +(-2.83472e28 - 4.90988e28i) q^{67} +(-4.35520e28 - 2.51448e28i) q^{68} +(1.15453e29 - 8.37388e27i) q^{69} +(-1.94489e29 - 2.90398e29i) q^{70} -4.28490e29i q^{71} +(3.11521e29 + 1.23989e29i) q^{72} +(-4.01812e29 - 6.95960e29i) q^{73} +(3.66244e29 - 2.11451e29i) q^{74} +(2.23190e29 + 1.08142e29i) q^{75} -7.03808e29 q^{76} +(1.02684e30 - 6.87707e29i) q^{77} +(-8.87669e29 + 6.43833e28i) q^{78} +(1.94041e30 - 3.36089e30i) q^{79} +(-2.64138e30 + 1.52500e30i) q^{80} +(-2.49457e30 - 2.35951e30i) q^{81} +(1.86896e30 - 3.23714e30i) q^{82} +9.42765e28i q^{83} +(2.67537e30 + 1.08309e30i) q^{84} +3.29939e30 q^{85} +(-1.21789e31 - 7.03148e30i) q^{86} +(-6.99613e30 - 1.03144e31i) q^{87} +(-3.36440e30 - 5.82731e30i) q^{88} +(1.14477e31 + 6.60935e30i) q^{89} +(1.92842e31 - 2.81219e30i) q^{90} +(8.62889e30 - 5.74872e29i) q^{91} -5.42545e30i q^{92} +(3.72316e31 + 1.80398e31i) q^{93} +(-5.63061e29 - 9.75251e29i) q^{94} +(3.99890e31 - 2.30877e31i) q^{95} +(1.97753e31 - 4.08133e31i) q^{96} +4.19519e31 q^{97} +(-8.11410e31 - 3.34057e31i) q^{98} +(9.94381e30 + 6.81883e31i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 164q + 43046720q^{3} + 176093659134q^{4} + 3915256954876q^{6} - 41868332499126q^{7} + 1232720974221986q^{9} + O(q^{10}) \) \( 164q + 43046720q^{3} + 176093659134q^{4} + 3915256954876q^{6} - 41868332499126q^{7} + 1232720974221986q^{9} - 653609167486978q^{10} - 80283770812252892q^{12} + 930128021838524592q^{13} + 295985739739384604q^{15} - \)\(35\!\cdots\!98\)\(q^{16} - \)\(28\!\cdots\!84\)\(q^{18} - \)\(55\!\cdots\!32\)\(q^{19} - \)\(63\!\cdots\!60\)\(q^{21} - \)\(13\!\cdots\!96\)\(q^{22} + \)\(10\!\cdots\!46\)\(q^{24} + \)\(37\!\cdots\!44\)\(q^{25} - \)\(46\!\cdots\!76\)\(q^{27} + \)\(47\!\cdots\!58\)\(q^{28} - \)\(33\!\cdots\!80\)\(q^{30} + \)\(52\!\cdots\!26\)\(q^{31} - \)\(73\!\cdots\!26\)\(q^{33} - \)\(22\!\cdots\!96\)\(q^{34} - \)\(58\!\cdots\!40\)\(q^{36} - \)\(47\!\cdots\!40\)\(q^{37} + \)\(80\!\cdots\!20\)\(q^{39} - \)\(45\!\cdots\!26\)\(q^{40} + \)\(10\!\cdots\!78\)\(q^{42} - \)\(82\!\cdots\!28\)\(q^{43} + \)\(88\!\cdots\!80\)\(q^{45} + \)\(30\!\cdots\!92\)\(q^{46} - \)\(10\!\cdots\!00\)\(q^{48} + \)\(42\!\cdots\!90\)\(q^{49} + \)\(89\!\cdots\!16\)\(q^{51} + \)\(39\!\cdots\!84\)\(q^{52} + \)\(16\!\cdots\!78\)\(q^{54} + \)\(55\!\cdots\!00\)\(q^{55} - \)\(88\!\cdots\!80\)\(q^{57} + \)\(63\!\cdots\!34\)\(q^{58} + \)\(69\!\cdots\!10\)\(q^{60} - \)\(49\!\cdots\!48\)\(q^{61} + \)\(38\!\cdots\!20\)\(q^{63} - \)\(17\!\cdots\!24\)\(q^{64} + \)\(20\!\cdots\!84\)\(q^{66} + \)\(41\!\cdots\!36\)\(q^{67} - \)\(54\!\cdots\!68\)\(q^{69} - \)\(18\!\cdots\!50\)\(q^{70} + \)\(88\!\cdots\!12\)\(q^{72} + \)\(14\!\cdots\!40\)\(q^{73} - \)\(13\!\cdots\!24\)\(q^{75} - \)\(13\!\cdots\!12\)\(q^{76} - \)\(15\!\cdots\!20\)\(q^{78} + \)\(11\!\cdots\!98\)\(q^{79} + \)\(41\!\cdots\!98\)\(q^{81} - \)\(17\!\cdots\!72\)\(q^{82} + \)\(23\!\cdots\!36\)\(q^{84} - \)\(11\!\cdots\!64\)\(q^{85} + \)\(25\!\cdots\!98\)\(q^{87} - \)\(10\!\cdots\!90\)\(q^{88} - \)\(13\!\cdots\!64\)\(q^{90} + \)\(33\!\cdots\!84\)\(q^{91} - \)\(88\!\cdots\!00\)\(q^{93} - \)\(96\!\cdots\!24\)\(q^{94} + \)\(14\!\cdots\!10\)\(q^{96} - \)\(26\!\cdots\!24\)\(q^{97} - \)\(24\!\cdots\!32\)\(q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −68807.1 39725.8i −1.04991 0.606167i −0.127288 0.991866i \(-0.540627\pi\)
−0.922625 + 0.385698i \(0.873961\pi\)
\(3\) −3.56249e7 + 2.41638e7i −0.827586 + 0.561339i
\(4\) 1.00879e9 + 1.74728e9i 0.234878 + 0.406820i
\(5\) −1.14635e11 6.61847e10i −0.751274 0.433748i 0.0748801 0.997193i \(-0.476143\pi\)
−0.826154 + 0.563444i \(0.809476\pi\)
\(6\) 3.41117e12 2.47415e11i 1.20916 0.0877012i
\(7\) −3.31594e13 + 2.20914e12i −0.997788 + 0.0664744i
\(8\) 1.80942e14i 0.642834i
\(9\) 6.85242e14 1.72166e15i 0.369797 0.929112i
\(10\) 5.25848e15 + 9.10795e15i 0.525848 + 0.910795i
\(11\) −3.22055e16 + 1.85938e16i −0.700885 + 0.404656i −0.807677 0.589625i \(-0.799275\pi\)
0.106792 + 0.994281i \(0.465942\pi\)
\(12\) −7.81590e16 3.78703e16i −0.422746 0.204833i
\(13\) −2.60224e17 −0.391070 −0.195535 0.980697i \(-0.562644\pi\)
−0.195535 + 0.980697i \(0.562644\pi\)
\(14\) 2.36936e18 + 1.16528e18i 1.08789 + 0.535034i
\(15\) 5.68314e18 4.12203e17i 0.865224 0.0627553i
\(16\) 1.15208e19 1.99546e19i 0.624543 1.08174i
\(17\) −2.15862e19 + 1.24628e19i −0.443602 + 0.256114i −0.705125 0.709083i \(-0.749109\pi\)
0.261522 + 0.965198i \(0.415776\pi\)
\(18\) −1.15544e20 + 9.12409e19i −0.951452 + 0.751328i
\(19\) −1.74419e20 + 3.02102e20i −0.604693 + 1.04736i 0.387407 + 0.921909i \(0.373371\pi\)
−0.992100 + 0.125450i \(0.959962\pi\)
\(20\) 2.67067e20i 0.407511i
\(21\) 1.12792e21 8.79958e20i 0.788441 0.615111i
\(22\) 2.95462e21 0.981157
\(23\) −2.32881e21 1.34454e21i −0.379742 0.219244i 0.297964 0.954577i \(-0.403693\pi\)
−0.677706 + 0.735333i \(0.737026\pi\)
\(24\) −4.37224e21 6.44602e21i −0.360848 0.532000i
\(25\) −2.88070e21 4.98951e21i −0.123725 0.214298i
\(26\) 1.79053e22 + 1.03376e22i 0.410589 + 0.237054i
\(27\) 1.71903e22 + 7.78921e22i 0.215508 + 0.976502i
\(28\) −3.73110e22 5.57102e22i −0.261401 0.390307i
\(29\) 2.89529e23i 1.15698i 0.815691 + 0.578488i \(0.196357\pi\)
−0.815691 + 0.578488i \(0.803643\pi\)
\(30\) −4.07415e23 1.97405e23i −0.946449 0.458583i
\(31\) −4.80546e23 8.32329e23i −0.660613 1.14422i −0.980455 0.196745i \(-0.936963\pi\)
0.319841 0.947471i \(-0.396370\pi\)
\(32\) −9.12401e23 + 5.26775e23i −0.754720 + 0.435738i
\(33\) 6.98018e23 1.44061e24i 0.352893 0.728322i
\(34\) 1.98038e24 0.620992
\(35\) 3.94745e24 + 1.94140e24i 0.778445 + 0.382848i
\(36\) 3.69949e24 5.39493e23i 0.464839 0.0677868i
\(37\) −2.66139e24 + 4.60966e24i −0.215715 + 0.373629i −0.953494 0.301414i \(-0.902542\pi\)
0.737779 + 0.675043i \(0.235875\pi\)
\(38\) 2.40025e25 1.38578e25i 1.26975 0.733090i
\(39\) 9.27046e24 6.28801e24i 0.323644 0.219523i
\(40\) 1.19756e25 2.07423e25i 0.278828 0.482944i
\(41\) 4.70466e25i 0.737881i 0.929453 + 0.368941i \(0.120279\pi\)
−0.929453 + 0.368941i \(0.879721\pi\)
\(42\) −1.12566e26 + 1.57399e25i −1.20065 + 0.167885i
\(43\) 1.77000e26 1.29562 0.647812 0.761800i \(-0.275684\pi\)
0.647812 + 0.761800i \(0.275684\pi\)
\(44\) −6.49773e25 3.75146e25i −0.329245 0.190089i
\(45\) −1.92501e26 + 1.52011e26i −0.680820 + 0.537619i
\(46\) 1.06826e26 + 1.85028e26i 0.265798 + 0.460375i
\(47\) 1.22748e25 + 7.08685e24i 0.0216495 + 0.0124993i 0.510786 0.859708i \(-0.329355\pi\)
−0.489136 + 0.872207i \(0.662688\pi\)
\(48\) 7.17521e25 + 9.89265e26i 0.0903597 + 1.24581i
\(49\) 1.09467e27 1.46508e26i 0.991162 0.132655i
\(50\) 4.57752e26i 0.299992i
\(51\) 4.67857e26 9.65591e26i 0.223352 0.460968i
\(52\) −2.62512e26 4.54685e26i −0.0918536 0.159095i
\(53\) 3.62521e27 2.09301e27i 0.935231 0.539956i 0.0467686 0.998906i \(-0.485108\pi\)
0.888462 + 0.458950i \(0.151774\pi\)
\(54\) 1.91151e27 6.04243e27i 0.365659 1.15588i
\(55\) 4.92251e27 0.702075
\(56\) −3.99725e26 5.99992e27i −0.0427320 0.641412i
\(57\) −1.08629e27 1.49769e28i −0.0874879 1.20622i
\(58\) 1.15018e28 1.99217e28i 0.701321 1.21472i
\(59\) −9.55556e26 + 5.51691e26i −0.0443225 + 0.0255896i −0.521998 0.852947i \(-0.674813\pi\)
0.477675 + 0.878537i \(0.341480\pi\)
\(60\) 6.45334e27 + 9.51421e27i 0.228752 + 0.337251i
\(61\) 3.03025e28 5.24855e28i 0.824520 1.42811i −0.0777663 0.996972i \(-0.524779\pi\)
0.902286 0.431138i \(-0.141888\pi\)
\(62\) 7.63602e28i 1.60177i
\(63\) −1.89188e28 + 5.86032e28i −0.307217 + 0.951639i
\(64\) −1.52566e28 −0.192565
\(65\) 2.98309e28 + 1.72229e28i 0.293801 + 0.169626i
\(66\) −1.05258e29 + 7.13948e28i −0.811992 + 0.550762i
\(67\) −2.83472e28 4.90988e28i −0.171915 0.297765i 0.767174 0.641438i \(-0.221662\pi\)
−0.939089 + 0.343673i \(0.888329\pi\)
\(68\) −4.35520e28 2.51448e28i −0.208385 0.120311i
\(69\) 1.15453e29 8.37388e27i 0.437340 0.0317206i
\(70\) −1.94489e29 2.90398e29i −0.585229 0.873825i
\(71\) 4.28490e29i 1.02756i −0.857922 0.513780i \(-0.828245\pi\)
0.857922 0.513780i \(-0.171755\pi\)
\(72\) 3.11521e29 + 1.23989e29i 0.597265 + 0.237718i
\(73\) −4.01812e29 6.95960e29i −0.617814 1.07008i −0.989884 0.141880i \(-0.954685\pi\)
0.372070 0.928205i \(-0.378648\pi\)
\(74\) 3.66244e29 2.11451e29i 0.452964 0.261519i
\(75\) 2.23190e29 + 1.08142e29i 0.222687 + 0.107898i
\(76\) −7.03808e29 −0.568116
\(77\) 1.02684e30 6.87707e29i 0.672435 0.450352i
\(78\) −8.87669e29 + 6.43833e28i −0.472865 + 0.0342973i
\(79\) 1.94041e30 3.36089e30i 0.843063 1.46023i −0.0442290 0.999021i \(-0.514083\pi\)
0.887292 0.461207i \(-0.152584\pi\)
\(80\) −2.64138e30 + 1.52500e30i −0.938405 + 0.541788i
\(81\) −2.49457e30 2.35951e30i −0.726500 0.687167i
\(82\) 1.86896e30 3.23714e30i 0.447280 0.774711i
\(83\) 9.42765e28i 0.0185846i 0.999957 + 0.00929232i \(0.00295788\pi\)
−0.999957 + 0.00929232i \(0.997042\pi\)
\(84\) 2.67537e30 + 1.08309e30i 0.435427 + 0.176278i
\(85\) 3.29939e30 0.444356
\(86\) −1.21789e31 7.03148e30i −1.36029 0.785365i
\(87\) −6.99613e30 1.03144e31i −0.649456 0.957498i
\(88\) −3.36440e30 5.82731e30i −0.260127 0.450553i
\(89\) 1.14477e31 + 6.60935e30i 0.738719 + 0.426500i 0.821603 0.570060i \(-0.193080\pi\)
−0.0828845 + 0.996559i \(0.526413\pi\)
\(90\) 1.92842e31 2.81219e30i 1.04069 0.151762i
\(91\) 8.62889e30 5.74872e29i 0.390205 0.0259961i
\(92\) 5.42545e30i 0.205982i
\(93\) 3.72316e31 + 1.80398e31i 1.18901 + 0.576109i
\(94\) −5.63061e29 9.75251e29i −0.0151534 0.0262465i
\(95\) 3.99890e31 2.30877e31i 0.908580 0.524569i
\(96\) 1.97753e31 4.08133e31i 0.379999 0.784264i
\(97\) 4.19519e31 0.682974 0.341487 0.939887i \(-0.389069\pi\)
0.341487 + 0.939887i \(0.389069\pi\)
\(98\) −8.11410e31 3.34057e31i −1.12104 0.461534i
\(99\) 9.94381e30 + 6.81883e31i 0.116786 + 0.800842i
\(100\) 5.81205e30 1.00668e31i 0.0581205 0.100668i
\(101\) −6.96736e31 + 4.02261e31i −0.594191 + 0.343056i −0.766753 0.641942i \(-0.778129\pi\)
0.172562 + 0.984999i \(0.444796\pi\)
\(102\) −7.05508e31 + 4.78535e31i −0.513924 + 0.348587i
\(103\) −2.88539e31 + 4.99765e31i −0.179808 + 0.311437i −0.941815 0.336132i \(-0.890881\pi\)
0.762007 + 0.647569i \(0.224214\pi\)
\(104\) 4.70854e31i 0.251393i
\(105\) −1.87539e32 + 2.62233e31i −0.859138 + 0.120132i
\(106\) −3.32586e32 −1.30921
\(107\) 4.05730e32 + 2.34248e32i 1.37435 + 0.793480i 0.991472 0.130319i \(-0.0416003\pi\)
0.382876 + 0.923800i \(0.374934\pi\)
\(108\) −1.18758e32 + 1.08613e32i −0.346643 + 0.317032i
\(109\) 3.64019e32 + 6.30499e32i 0.916853 + 1.58804i 0.804165 + 0.594406i \(0.202613\pi\)
0.112689 + 0.993630i \(0.464054\pi\)
\(110\) −3.38704e32 1.95551e32i −0.737118 0.425575i
\(111\) −1.65753e31 2.28528e32i −0.0312100 0.430300i
\(112\) −3.37940e32 + 6.87133e32i −0.551253 + 1.12086i
\(113\) 8.23197e32i 1.16479i −0.812905 0.582397i \(-0.802115\pi\)
0.812905 0.582397i \(-0.197885\pi\)
\(114\) −5.20227e32 + 1.07367e33i −0.639315 + 1.31946i
\(115\) 1.77976e32 + 3.08264e32i 0.190194 + 0.329425i
\(116\) −5.05889e32 + 2.92075e32i −0.470681 + 0.271748i
\(117\) −1.78317e32 + 4.48019e32i −0.144617 + 0.363348i
\(118\) 8.76654e31 0.0620463
\(119\) 6.88255e32 4.60947e32i 0.425596 0.285036i
\(120\) 7.45846e31 + 1.02832e33i 0.0403412 + 0.556195i
\(121\) −3.64227e32 + 6.30860e32i −0.172507 + 0.298791i
\(122\) −4.17005e33 + 2.40758e33i −1.73135 + 0.999594i
\(123\) −1.13682e33 1.67603e33i −0.414201 0.610660i
\(124\) 9.69541e32 1.67929e33i 0.310327 0.537502i
\(125\) 3.84460e33i 1.08216i
\(126\) 3.62981e33 3.28075e33i 0.899404 0.812913i
\(127\) 5.16912e33 1.12864 0.564322 0.825555i \(-0.309138\pi\)
0.564322 + 0.825555i \(0.309138\pi\)
\(128\) 4.96849e33 + 2.86856e33i 0.956897 + 0.552464i
\(129\) −6.30562e33 + 4.27700e33i −1.07224 + 0.727284i
\(130\) −1.36838e33 2.37011e33i −0.205643 0.356185i
\(131\) −2.19417e33 1.26681e33i −0.291696 0.168411i 0.347010 0.937861i \(-0.387197\pi\)
−0.638706 + 0.769451i \(0.720530\pi\)
\(132\) 3.22130e33 2.33644e32i 0.379183 0.0275024i
\(133\) 5.11623e33 1.04028e34i 0.533733 1.08524i
\(134\) 4.50446e33i 0.416837i
\(135\) 3.18465e33 1.00669e34i 0.261651 0.827097i
\(136\) −2.25504e33 3.90585e33i −0.164639 0.285163i
\(137\) −1.16083e34 + 6.70208e33i −0.753774 + 0.435192i −0.827056 0.562120i \(-0.809986\pi\)
0.0732819 + 0.997311i \(0.476653\pi\)
\(138\) −8.27663e33 4.01027e33i −0.478397 0.231797i
\(139\) −3.61957e33 −0.186389 −0.0931945 0.995648i \(-0.529708\pi\)
−0.0931945 + 0.995648i \(0.529708\pi\)
\(140\) 5.89987e32 + 8.85577e33i 0.0270891 + 0.406610i
\(141\) −6.08533e32 + 4.41373e31i −0.0249332 + 0.00180842i
\(142\) −1.70221e34 + 2.94831e34i −0.622873 + 1.07885i
\(143\) 8.38065e33 4.83857e33i 0.274095 0.158249i
\(144\) −2.64606e34 3.35086e34i −0.774104 0.980295i
\(145\) 1.91624e34 3.31903e34i 0.501836 0.869206i
\(146\) 6.38493e34i 1.49799i
\(147\) −3.54572e34 + 3.16706e34i −0.745808 + 0.666161i
\(148\) −1.07391e34 −0.202667
\(149\) −3.09471e34 1.78673e34i −0.524372 0.302746i 0.214350 0.976757i \(-0.431237\pi\)
−0.738722 + 0.674011i \(0.764570\pi\)
\(150\) −1.10610e34 1.63073e34i −0.168397 0.248269i
\(151\) −1.32157e34 2.28903e34i −0.180909 0.313343i 0.761282 0.648421i \(-0.224570\pi\)
−0.942190 + 0.335078i \(0.891237\pi\)
\(152\) −5.46628e34 3.15596e34i −0.673278 0.388717i
\(153\) 6.66499e33 + 4.57043e34i 0.0739157 + 0.506867i
\(154\) −9.79735e34 + 6.52717e33i −0.978987 + 0.0652219i
\(155\) 1.27219e35i 1.14616i
\(156\) 2.03389e34 + 9.85478e33i 0.165323 + 0.0801039i
\(157\) 3.93058e34 + 6.80797e34i 0.288445 + 0.499601i 0.973439 0.228948i \(-0.0735285\pi\)
−0.684994 + 0.728549i \(0.740195\pi\)
\(158\) −2.67028e35 + 1.54169e35i −1.77029 + 1.02208i
\(159\) −7.85723e34 + 1.62162e35i −0.470886 + 0.971841i
\(160\) 1.39458e35 0.756002
\(161\) 8.01923e34 + 3.94395e34i 0.393477 + 0.193516i
\(162\) 7.79107e34 + 2.61450e35i 0.346224 + 1.16185i
\(163\) −2.27241e34 + 3.93593e34i −0.0915135 + 0.158506i −0.908148 0.418649i \(-0.862504\pi\)
0.816635 + 0.577155i \(0.195837\pi\)
\(164\) −8.22035e34 + 4.74602e34i −0.300185 + 0.173312i
\(165\) −1.75364e35 + 1.18947e35i −0.581028 + 0.394102i
\(166\) 3.74521e33 6.48689e33i 0.0112654 0.0195122i
\(167\) 9.71984e34i 0.265580i 0.991144 + 0.132790i \(0.0423936\pi\)
−0.991144 + 0.132790i \(0.957606\pi\)
\(168\) 1.59221e35 + 2.04087e35i 0.395414 + 0.506836i
\(169\) −3.75063e35 −0.847064
\(170\) −2.27021e35 1.31071e35i −0.466535 0.269354i
\(171\) 4.00599e35 + 5.07303e35i 0.749501 + 0.949138i
\(172\) 1.78557e35 + 3.09269e35i 0.304313 + 0.527086i
\(173\) −7.62181e35 4.40045e35i −1.18391 0.683533i −0.226997 0.973895i \(-0.572891\pi\)
−0.956917 + 0.290362i \(0.906224\pi\)
\(174\) 7.16338e34 + 9.87633e35i 0.101468 + 1.39897i
\(175\) 1.06545e35 + 1.59086e35i 0.137697 + 0.205599i
\(176\) 8.56862e35i 1.01090i
\(177\) 2.07106e34 4.27438e34i 0.0223162 0.0460575i
\(178\) −5.25123e35 9.09540e35i −0.517060 0.895574i
\(179\) −8.35498e35 + 4.82375e35i −0.752137 + 0.434247i −0.826466 0.562987i \(-0.809652\pi\)
0.0743285 + 0.997234i \(0.476319\pi\)
\(180\) −4.59799e35 1.83005e35i −0.378624 0.150697i
\(181\) 2.21333e35 0.166797 0.0833986 0.996516i \(-0.473423\pi\)
0.0833986 + 0.996516i \(0.473423\pi\)
\(182\) −6.16566e35 3.03234e35i −0.425439 0.209236i
\(183\) 1.88726e35 + 2.60201e36i 0.119293 + 1.64472i
\(184\) 2.43283e35 4.21379e35i 0.140938 0.244111i
\(185\) 6.10178e35 3.52286e35i 0.324122 0.187132i
\(186\) −1.84515e36 2.72032e36i −0.899135 1.32560i
\(187\) 4.63463e35 8.02742e35i 0.207276 0.359013i
\(188\) 2.85966e34i 0.0117433i
\(189\) −7.42095e35 2.54488e36i −0.279944 0.960016i
\(190\) −3.66871e36 −1.27191
\(191\) 2.95321e36 + 1.70503e36i 0.941369 + 0.543500i 0.890389 0.455200i \(-0.150432\pi\)
0.0509798 + 0.998700i \(0.483766\pi\)
\(192\) 5.43514e35 3.68657e35i 0.159364 0.108094i
\(193\) 2.00398e36 + 3.47100e36i 0.540726 + 0.936565i 0.998862 + 0.0476834i \(0.0151839\pi\)
−0.458136 + 0.888882i \(0.651483\pi\)
\(194\) −2.88659e36 1.66657e36i −0.717063 0.413997i
\(195\) −1.47889e36 + 1.07265e35i −0.338363 + 0.0245417i
\(196\) 1.36028e36 + 1.76489e36i 0.286769 + 0.372067i
\(197\) 5.12683e36i 0.996298i 0.867091 + 0.498149i \(0.165987\pi\)
−0.867091 + 0.498149i \(0.834013\pi\)
\(198\) 2.02463e36 5.08686e36i 0.362829 0.911605i
\(199\) −3.69345e36 6.39725e36i −0.610638 1.05766i −0.991133 0.132873i \(-0.957580\pi\)
0.380496 0.924783i \(-0.375753\pi\)
\(200\) 9.02811e35 5.21238e35i 0.137758 0.0795346i
\(201\) 2.19628e36 + 1.06416e36i 0.309421 + 0.149924i
\(202\) 6.39205e36 0.831799
\(203\) −6.39611e35 9.60062e36i −0.0769093 1.15442i
\(204\) 2.15913e36 1.56603e35i 0.239991 0.0174068i
\(205\) 3.11377e36 5.39320e36i 0.320055 0.554351i
\(206\) 3.97071e36 2.29249e36i 0.377566 0.217988i
\(207\) −3.91065e36 + 3.08810e36i −0.344130 + 0.271747i
\(208\) −2.99799e36 + 5.19267e36i −0.244240 + 0.423036i
\(209\) 1.29724e37i 0.978771i
\(210\) 1.39458e37 + 5.64579e36i 0.974840 + 0.394654i
\(211\) 9.43113e36 0.611005 0.305502 0.952191i \(-0.401176\pi\)
0.305502 + 0.952191i \(0.401176\pi\)
\(212\) 7.31416e36 + 4.22283e36i 0.439330 + 0.253647i
\(213\) 1.03539e37 + 1.52649e37i 0.576809 + 0.850394i
\(214\) −1.86114e37 3.22359e37i −0.961964 1.66617i
\(215\) −2.02905e37 1.17147e37i −0.973369 0.561975i
\(216\) −1.40939e37 + 3.11044e36i −0.627729 + 0.138536i
\(217\) 1.77733e37 + 2.65380e37i 0.735213 + 1.09777i
\(218\) 5.78437e37i 2.22307i
\(219\) 3.11315e37 + 1.50841e37i 1.11197 + 0.538784i
\(220\) 4.96579e36 + 8.60100e36i 0.164902 + 0.285618i
\(221\) 5.61726e36 3.24313e36i 0.173480 0.100158i
\(222\) −7.93794e36 + 1.63828e37i −0.228066 + 0.470695i
\(223\) 6.01806e37 1.60908 0.804541 0.593897i \(-0.202411\pi\)
0.804541 + 0.593897i \(0.202411\pi\)
\(224\) 2.90910e37 1.94832e37i 0.724085 0.484944i
\(225\) −1.05642e37 + 1.54057e36i −0.244860 + 0.0357076i
\(226\) −3.27022e37 + 5.66418e37i −0.706060 + 1.22293i
\(227\) 3.84956e37 2.22254e37i 0.774457 0.447133i −0.0600055 0.998198i \(-0.519112\pi\)
0.834462 + 0.551065i \(0.185778\pi\)
\(228\) 2.50731e37 1.70067e37i 0.470165 0.318906i
\(229\) −4.64943e37 + 8.05305e37i −0.812891 + 1.40797i 0.0979416 + 0.995192i \(0.468774\pi\)
−0.910832 + 0.412776i \(0.864559\pi\)
\(230\) 2.82809e37i 0.461157i
\(231\) −1.99634e37 + 4.93118e37i −0.303698 + 0.750169i
\(232\) −5.23879e37 −0.743744
\(233\) −6.97147e37 4.02498e37i −0.923910 0.533420i −0.0390296 0.999238i \(-0.512427\pi\)
−0.884880 + 0.465818i \(0.845760\pi\)
\(234\) 3.00673e37 2.37431e37i 0.372084 0.293822i
\(235\) −9.38082e35 1.62481e36i −0.0108431 0.0187809i
\(236\) −1.92791e36 1.11308e36i −0.0208207 0.0120209i
\(237\) 1.20850e37 + 1.66619e38i 0.121976 + 1.68171i
\(238\) −6.56683e37 + 4.37494e36i −0.619618 + 0.0412801i
\(239\) 1.92044e38i 1.69447i −0.531215 0.847237i \(-0.678264\pi\)
0.531215 0.847237i \(-0.321736\pi\)
\(240\) 5.72489e37 1.18154e38i 0.472484 0.975140i
\(241\) −4.64859e37 8.05159e37i −0.358962 0.621740i 0.628826 0.777546i \(-0.283536\pi\)
−0.987788 + 0.155806i \(0.950203\pi\)
\(242\) 5.01228e37 2.89384e37i 0.362234 0.209136i
\(243\) 1.45884e38 + 2.37790e37i 0.986975 + 0.160877i
\(244\) 1.22276e38 0.774645
\(245\) −1.35184e38 5.56553e37i −0.802173 0.330255i
\(246\) 1.16400e37 + 1.60484e38i 0.0647131 + 0.892215i
\(247\) 4.53879e37 7.86142e37i 0.236477 0.409591i
\(248\) 1.50603e38 8.69507e37i 0.735541 0.424665i
\(249\) −2.27808e36 3.35859e36i −0.0104323 0.0153804i
\(250\) 1.52730e38 2.64536e38i 0.655969 1.13617i
\(251\) 3.67098e38i 1.47912i −0.673092 0.739559i \(-0.735034\pi\)
0.673092 0.739559i \(-0.264966\pi\)
\(252\) −1.21481e38 + 2.60620e37i −0.459305 + 0.0985368i
\(253\) 1.00001e38 0.354874
\(254\) −3.55672e38 2.05347e38i −1.18498 0.684148i
\(255\) −1.17540e38 + 7.97258e37i −0.367743 + 0.249434i
\(256\) −1.95148e38 3.38007e38i −0.573489 0.993313i
\(257\) 5.03127e38 + 2.90480e38i 1.38914 + 0.802023i 0.993219 0.116259i \(-0.0370904\pi\)
0.395926 + 0.918282i \(0.370424\pi\)
\(258\) 6.03779e38 4.37925e37i 1.56662 0.113628i
\(259\) 7.80667e37 1.58733e38i 0.190401 0.387142i
\(260\) 6.94972e37i 0.159365i
\(261\) 4.98472e38 + 1.98398e38i 1.07496 + 0.427847i
\(262\) 1.00650e38 + 1.74331e38i 0.204170 + 0.353633i
\(263\) −1.92901e38 + 1.11371e38i −0.368164 + 0.212560i −0.672656 0.739955i \(-0.734847\pi\)
0.304492 + 0.952515i \(0.401513\pi\)
\(264\) 2.60666e38 + 1.26300e38i 0.468190 + 0.226852i
\(265\) −5.54102e38 −0.936819
\(266\) −7.65294e38 + 5.12542e38i −1.21821 + 0.815875i
\(267\) −5.67531e38 + 4.11634e37i −0.850764 + 0.0617066i
\(268\) 5.71929e37 9.90609e37i 0.0807579 0.139877i
\(269\) −1.23806e39 + 7.14793e38i −1.64704 + 0.950919i −0.668800 + 0.743442i \(0.733192\pi\)
−0.978240 + 0.207477i \(0.933475\pi\)
\(270\) −6.19043e38 + 5.66163e38i −0.776069 + 0.709775i
\(271\) −5.02018e38 + 8.69521e38i −0.593213 + 1.02747i 0.400584 + 0.916260i \(0.368807\pi\)
−0.993796 + 0.111215i \(0.964526\pi\)
\(272\) 5.74325e38i 0.639816i
\(273\) −2.93512e38 + 2.28986e38i −0.308335 + 0.240551i
\(274\) 1.06498e39 1.05520
\(275\) 1.85548e38 + 1.07126e38i 0.173434 + 0.100132i
\(276\) 1.31099e38 + 1.93281e38i 0.115626 + 0.170468i
\(277\) −4.67195e37 8.09206e37i −0.0388886 0.0673570i 0.845926 0.533300i \(-0.179048\pi\)
−0.884815 + 0.465943i \(0.845715\pi\)
\(278\) 2.49052e38 + 1.43790e38i 0.195692 + 0.112983i
\(279\) −1.76228e39 + 2.56991e38i −1.30740 + 0.190656i
\(280\) −3.51280e38 + 7.14258e38i −0.246108 + 0.500411i
\(281\) 2.16252e39i 1.43106i −0.698582 0.715530i \(-0.746185\pi\)
0.698582 0.715530i \(-0.253815\pi\)
\(282\) 4.36247e37 + 2.11375e37i 0.0272739 + 0.0132150i
\(283\) 3.39471e38 + 5.87982e38i 0.200549 + 0.347361i 0.948705 0.316161i \(-0.102394\pi\)
−0.748157 + 0.663522i \(0.769061\pi\)
\(284\) 7.48692e38 4.32257e38i 0.418032 0.241351i
\(285\) −8.66718e38 + 1.78878e39i −0.457467 + 0.944148i
\(286\) −7.68864e38 −0.383701
\(287\) −1.03933e38 1.56004e39i −0.0490502 0.736249i
\(288\) 2.81714e38 + 1.93182e39i 0.125756 + 0.862354i
\(289\) −8.73312e38 + 1.51262e39i −0.368811 + 0.638800i
\(290\) −2.63702e39 + 1.52248e39i −1.05377 + 0.608394i
\(291\) −1.49453e39 + 1.01372e39i −0.565220 + 0.383380i
\(292\) 8.10691e38 1.40416e39i 0.290221 0.502678i
\(293\) 3.64548e39i 1.23558i 0.786342 + 0.617792i \(0.211973\pi\)
−0.786342 + 0.617792i \(0.788027\pi\)
\(294\) 3.69785e39 7.70599e38i 1.18684 0.247327i
\(295\) 1.46054e38 0.0443978
\(296\) −8.34079e38 4.81556e38i −0.240182 0.138669i
\(297\) −2.00193e39 2.18892e39i −0.546194 0.597209i
\(298\) 1.41959e39 + 2.45879e39i 0.367030 + 0.635714i
\(299\) 6.06014e38 + 3.49882e38i 0.148506 + 0.0857398i
\(300\) 3.61978e37 + 4.99068e38i 0.00840896 + 0.115936i
\(301\) −5.86923e39 + 3.91019e38i −1.29276 + 0.0861259i
\(302\) 2.10002e39i 0.438644i
\(303\) 1.51010e39 3.11663e39i 0.299173 0.617451i
\(304\) 4.01887e39 + 6.96089e39i 0.755313 + 1.30824i
\(305\) −6.94747e39 + 4.01112e39i −1.23888 + 0.715268i
\(306\) 1.35704e39 3.40955e39i 0.229641 0.576971i
\(307\) −1.68540e39 −0.270700 −0.135350 0.990798i \(-0.543216\pi\)
−0.135350 + 0.990798i \(0.543216\pi\)
\(308\) 2.23748e39 + 1.10042e39i 0.341152 + 0.167783i
\(309\) −1.79704e38 2.47763e39i −0.0260149 0.358674i
\(310\) 5.05388e39 8.75357e39i 0.694765 1.20337i
\(311\) 1.01158e40 5.84034e39i 1.32079 0.762557i 0.336933 0.941529i \(-0.390610\pi\)
0.983854 + 0.178972i \(0.0572771\pi\)
\(312\) 1.13776e39 + 1.67741e39i 0.141117 + 0.208049i
\(313\) 6.58306e39 1.14022e40i 0.775744 1.34363i −0.158631 0.987338i \(-0.550708\pi\)
0.934375 0.356290i \(-0.115959\pi\)
\(314\) 6.24582e39i 0.699383i
\(315\) 6.04740e39 5.46586e39i 0.643576 0.581687i
\(316\) 7.82989e39 0.792067
\(317\) 6.83944e39 + 3.94876e39i 0.657768 + 0.379762i 0.791426 0.611265i \(-0.209339\pi\)
−0.133658 + 0.991028i \(0.542672\pi\)
\(318\) 1.18483e40 8.03655e39i 1.08349 0.734913i
\(319\) −5.38346e39 9.32443e39i −0.468178 0.810907i
\(320\) 1.74894e39 + 1.00975e39i 0.144669 + 0.0835248i
\(321\) −2.01144e40 + 1.45891e39i −1.58280 + 0.114802i
\(322\) −3.95103e39 5.89942e39i −0.295813 0.441688i
\(323\) 8.69498e39i 0.619481i
\(324\) 1.60622e39 6.73897e39i 0.108915 0.456955i
\(325\) 7.49628e38 + 1.29839e39i 0.0483851 + 0.0838055i
\(326\) 3.12716e39 1.80547e39i 0.192162 0.110945i
\(327\) −2.82034e40 1.36654e40i −1.65020 0.799572i
\(328\) −8.51269e39 −0.474335
\(329\) −4.22681e38 2.07879e38i −0.0224325 0.0110326i
\(330\) 1.67915e40 1.21790e39i 0.848920 0.0615728i
\(331\) −1.68721e40 + 2.92233e40i −0.812683 + 1.40761i 0.0982972 + 0.995157i \(0.468660\pi\)
−0.910980 + 0.412451i \(0.864673\pi\)
\(332\) −1.64727e38 + 9.51054e37i −0.00756061 + 0.00436512i
\(333\) 6.11259e39 + 7.74074e39i 0.267373 + 0.338591i
\(334\) 3.86128e39 6.68794e39i 0.160986 0.278836i
\(335\) 7.50460e39i 0.298271i
\(336\) −4.56468e39 3.26449e40i −0.172975 1.23705i
\(337\) −1.35107e40 −0.488203 −0.244102 0.969750i \(-0.578493\pi\)
−0.244102 + 0.969750i \(0.578493\pi\)
\(338\) 2.58070e40 + 1.48997e40i 0.889344 + 0.513463i
\(339\) 1.98916e40 + 2.93263e40i 0.653844 + 0.963967i
\(340\) 3.32840e39 + 5.76496e39i 0.104369 + 0.180773i
\(341\) 3.09524e40 + 1.78704e40i 0.926028 + 0.534643i
\(342\) −7.41103e39 5.08201e40i −0.211573 1.45084i
\(343\) −3.59749e40 + 7.27638e39i −0.980152 + 0.198248i
\(344\) 3.20268e40i 0.832871i
\(345\) −1.37892e40 6.68127e39i −0.342321 0.165865i
\(346\) 3.49623e40 + 6.05564e40i 0.828671 + 1.43530i
\(347\) 5.69420e40 3.28755e40i 1.28873 0.744048i 0.310301 0.950638i \(-0.399570\pi\)
0.978427 + 0.206591i \(0.0662369\pi\)
\(348\) 1.09646e40 2.26293e40i 0.236987 0.489107i
\(349\) 1.13062e40 0.233406 0.116703 0.993167i \(-0.462767\pi\)
0.116703 + 0.993167i \(0.462767\pi\)
\(350\) −1.01124e39 1.51788e40i −0.0199418 0.299329i
\(351\) −4.47333e39 2.02694e40i −0.0842786 0.381880i
\(352\) 1.95895e40 3.39301e40i 0.352648 0.610804i
\(353\) 8.69084e39 5.01766e39i 0.149509 0.0863189i −0.423379 0.905952i \(-0.639156\pi\)
0.572888 + 0.819634i \(0.305823\pi\)
\(354\) −3.12307e39 + 2.11833e39i −0.0513486 + 0.0348290i
\(355\) −2.83595e40 + 4.91201e40i −0.445702 + 0.771979i
\(356\) 2.66698e40i 0.400701i
\(357\) −1.33808e40 + 3.30520e40i −0.192216 + 0.474795i
\(358\) 7.66509e40 1.05290
\(359\) −3.14077e40 1.81332e40i −0.412596 0.238212i 0.279309 0.960201i \(-0.409895\pi\)
−0.691904 + 0.721989i \(0.743228\pi\)
\(360\) −2.75051e40 3.48314e40i −0.345600 0.437654i
\(361\) −1.92444e40 3.33323e40i −0.231308 0.400636i
\(362\) −1.52293e40 8.79262e39i −0.175122 0.101107i
\(363\) −2.26843e39 3.12754e40i −0.0249586 0.344110i
\(364\) 9.70922e39 + 1.44972e40i 0.102226 + 0.152637i
\(365\) 1.06375e41i 1.07190i
\(366\) 9.03812e40 1.86534e41i 0.871728 1.79912i
\(367\) 4.69723e40 + 8.13583e40i 0.433695 + 0.751182i 0.997188 0.0749389i \(-0.0238762\pi\)
−0.563493 + 0.826121i \(0.690543\pi\)
\(368\) −5.36594e40 + 3.09803e40i −0.474331 + 0.273855i
\(369\) 8.09984e40 + 3.22383e40i 0.685575 + 0.272866i
\(370\) −5.59794e40 −0.453733
\(371\) −1.15586e41 + 7.74117e40i −0.897269 + 0.600930i
\(372\) 6.03836e39 + 8.32524e40i 0.0448985 + 0.619028i
\(373\) −6.14165e40 + 1.06376e41i −0.437465 + 0.757712i −0.997493 0.0707615i \(-0.977457\pi\)
0.560028 + 0.828474i \(0.310790\pi\)
\(374\) −6.37791e40 + 3.68229e40i −0.435244 + 0.251288i
\(375\) −9.29001e40 1.36963e41i −0.607458 0.895579i
\(376\) −1.28231e39 + 2.22102e39i −0.00803500 + 0.0139170i
\(377\) 7.53426e40i 0.452459i
\(378\) −5.00360e40 + 2.04586e41i −0.288014 + 1.17763i
\(379\) 1.00348e41 0.553706 0.276853 0.960912i \(-0.410708\pi\)
0.276853 + 0.960912i \(0.410708\pi\)
\(380\) 8.06813e40 + 4.65814e40i 0.426811 + 0.246419i
\(381\) −1.84149e41 + 1.24906e41i −0.934051 + 0.633552i
\(382\) −1.35468e41 2.34637e41i −0.658904 1.14125i
\(383\) −1.42468e41 8.22542e40i −0.664566 0.383687i 0.129448 0.991586i \(-0.458679\pi\)
−0.794015 + 0.607899i \(0.792013\pi\)
\(384\) −2.46317e41 + 1.78656e40i −1.10203 + 0.0799314i
\(385\) −1.63228e41 + 1.08745e40i −0.700522 + 0.0466701i
\(386\) 3.18439e41i 1.31108i
\(387\) 1.21288e41 3.04735e41i 0.479118 1.20378i
\(388\) 4.23208e40 + 7.33017e40i 0.160415 + 0.277848i
\(389\) 2.38922e41 1.37942e41i 0.869087 0.501767i 0.00204205 0.999998i \(-0.499350\pi\)
0.867045 + 0.498230i \(0.166017\pi\)
\(390\) 1.06019e41 + 5.13695e40i 0.370128 + 0.179338i
\(391\) 6.70270e40 0.224606
\(392\) 2.65093e40 + 1.98071e41i 0.0852750 + 0.637153i
\(393\) 1.08778e41 7.88975e39i 0.335939 0.0243659i
\(394\) 2.03667e41 3.52762e41i 0.603924 1.04603i
\(395\) −4.44879e41 + 2.56851e41i −1.26674 + 0.731354i
\(396\) −1.09113e41 + 8.61624e40i −0.298368 + 0.235611i
\(397\) 4.35912e40 7.55022e40i 0.114486 0.198295i −0.803088 0.595860i \(-0.796811\pi\)
0.917574 + 0.397565i \(0.130145\pi\)
\(398\) 5.86901e41i 1.48059i
\(399\) 6.91069e40 + 4.94227e41i 0.167477 + 1.19773i
\(400\) −1.32751e41 −0.309086
\(401\) −9.05123e40 5.22573e40i −0.202487 0.116906i 0.395328 0.918540i \(-0.370631\pi\)
−0.597815 + 0.801634i \(0.703964\pi\)
\(402\) −1.08845e41 1.60471e41i −0.233987 0.344968i
\(403\) 1.25050e41 + 2.16592e41i 0.258346 + 0.447468i
\(404\) −1.40572e41 8.11595e40i −0.279125 0.161153i
\(405\) 1.29802e41 + 4.35586e41i 0.247743 + 0.831368i
\(406\) −3.37383e41 + 6.86000e41i −0.619022 + 1.25866i
\(407\) 1.97942e41i 0.349161i
\(408\) 1.74716e41 + 8.46549e40i 0.296326 + 0.143579i
\(409\) 1.38091e41 + 2.39181e41i 0.225213 + 0.390080i 0.956383 0.292115i \(-0.0943590\pi\)
−0.731171 + 0.682195i \(0.761026\pi\)
\(410\) −4.28498e41 + 2.47394e41i −0.672059 + 0.388013i
\(411\) 2.51598e41 5.19262e41i 0.379523 0.783281i
\(412\) −1.16431e41 −0.168932
\(413\) 3.04669e40 2.04047e40i 0.0425234 0.0284793i
\(414\) 3.91757e41 5.71294e40i 0.526031 0.0767104i
\(415\) 6.23967e39 1.08074e40i 0.00806105 0.0139622i
\(416\) 2.37429e41 1.37080e41i 0.295148 0.170404i
\(417\) 1.28947e41 8.74626e40i 0.154253 0.104627i
\(418\) −5.15340e41 + 8.92596e41i −0.593299 + 1.02762i
\(419\) 1.36621e42i 1.51388i −0.653482 0.756942i \(-0.726692\pi\)
0.653482 0.756942i \(-0.273308\pi\)
\(420\) −2.35007e41 3.01229e41i −0.250664 0.321298i
\(421\) 9.77889e41 1.00410 0.502049 0.864839i \(-0.332580\pi\)
0.502049 + 0.864839i \(0.332580\pi\)
\(422\) −6.48929e41 3.74659e41i −0.641502 0.370371i
\(423\) 2.06124e40 1.62768e40i 0.0196192 0.0154926i
\(424\) 3.78713e41 + 6.55951e41i 0.347102 + 0.601198i
\(425\) 1.24367e41 + 7.18032e40i 0.109769 + 0.0633754i
\(426\) −1.06015e41 1.46165e42i −0.0901182 1.24248i
\(427\) −8.88865e41 + 1.80733e42i −0.727763 + 1.47976i
\(428\) 9.45232e41i 0.745483i
\(429\) −1.81641e41 + 3.74882e41i −0.138006 + 0.284825i
\(430\) 9.30754e41 + 1.61211e42i 0.681302 + 1.18005i
\(431\) 1.91899e42 1.10793e42i 1.35343 0.781406i 0.364705 0.931123i \(-0.381170\pi\)
0.988729 + 0.149717i \(0.0478364\pi\)
\(432\) 1.75235e42 + 5.54352e41i 1.19091 + 0.376744i
\(433\) −1.66485e42 −1.09036 −0.545179 0.838320i \(-0.683538\pi\)
−0.545179 + 0.838320i \(0.683538\pi\)
\(434\) −1.68690e41 2.53206e42i −0.106477 1.59823i
\(435\) 1.19345e41 + 1.64544e42i 0.0726064 + 1.00104i
\(436\) −7.34439e41 + 1.27209e42i −0.430697 + 0.745989i
\(437\) 8.12376e41 4.69025e41i 0.459255 0.265151i
\(438\) −1.54284e42 2.27462e42i −0.840882 1.23972i
\(439\) 8.20024e41 1.42032e42i 0.430918 0.746371i −0.566035 0.824381i \(-0.691523\pi\)
0.996953 + 0.0780099i \(0.0248566\pi\)
\(440\) 8.90687e41i 0.451318i
\(441\) 4.97875e41 1.98504e42i 0.243278 0.969957i
\(442\) −5.15343e41 −0.242851
\(443\) 4.58626e41 + 2.64788e41i 0.208449 + 0.120348i 0.600590 0.799557i \(-0.294932\pi\)
−0.392142 + 0.919905i \(0.628266\pi\)
\(444\) 3.82580e41 2.59498e41i 0.167724 0.113765i
\(445\) −8.74876e41 1.51533e42i −0.369987 0.640836i
\(446\) −4.14085e42 2.39072e42i −1.68940 0.975373i
\(447\) 1.53423e42 1.11279e41i 0.603906 0.0438018i
\(448\) 5.05899e41 3.37039e40i 0.192139 0.0128007i
\(449\) 8.79389e39i 0.00322285i −0.999999 0.00161142i \(-0.999487\pi\)
0.999999 0.00161142i \(-0.000512932\pi\)
\(450\) 7.88095e41 + 3.13671e41i 0.278727 + 0.110936i
\(451\) −8.74777e41 1.51516e42i −0.298588 0.517170i
\(452\) 1.43836e42 8.30435e41i 0.473862 0.273584i
\(453\) 1.02392e42 + 4.96121e41i 0.325609 + 0.157767i
\(454\) −3.53169e42 −1.08415
\(455\) −1.02722e42 5.05200e41i −0.304426 0.149720i
\(456\) 2.70995e42 1.96555e41i 0.775397 0.0562402i
\(457\) 5.42563e41 9.39747e41i 0.149896 0.259628i −0.781293 0.624165i \(-0.785439\pi\)
0.931189 + 0.364537i \(0.118773\pi\)
\(458\) 6.39828e42 3.69405e42i 1.70693 0.985496i
\(459\) −1.34183e42 1.46716e42i −0.345696 0.377984i
\(460\) −3.59082e41 + 6.21948e41i −0.0893445 + 0.154749i
\(461\) 2.25861e42i 0.542783i −0.962469 0.271392i \(-0.912516\pi\)
0.962469 0.271392i \(-0.0874838\pi\)
\(462\) 3.33257e42 2.59994e42i 0.773584 0.603520i
\(463\) 8.25534e42 1.85114 0.925569 0.378578i \(-0.123587\pi\)
0.925569 + 0.378578i \(0.123587\pi\)
\(464\) 5.77743e42 + 3.33560e42i 1.25155 + 0.722581i
\(465\) −3.07410e42 4.53216e42i −0.643384 0.948546i
\(466\) 3.19791e42 + 5.53894e42i 0.646683 + 1.12009i
\(467\) −1.84322e42 1.06419e42i −0.360170 0.207944i 0.308985 0.951067i \(-0.400011\pi\)
−0.669156 + 0.743122i \(0.733344\pi\)
\(468\) −9.62699e41 + 1.40389e41i −0.181784 + 0.0265094i
\(469\) 1.04844e42 + 1.56546e42i 0.191328 + 0.285679i
\(470\) 1.49064e41i 0.0262910i
\(471\) −3.04533e42 1.47555e42i −0.519158 0.251548i
\(472\) −9.98238e40 1.72900e41i −0.0164499 0.0284920i
\(473\) −5.70038e42 + 3.29112e42i −0.908084 + 0.524282i
\(474\) 5.78754e42 1.19447e43i 0.891333 1.83959i
\(475\) 2.00979e42 0.299263
\(476\) 1.49971e42 + 7.37574e41i 0.215921 + 0.106193i
\(477\) −1.11932e42 7.67561e42i −0.155834 1.06861i
\(478\) −7.62911e42 + 1.32140e43i −1.02713 + 1.77905i
\(479\) −3.35341e42 + 1.93609e42i −0.436635 + 0.252091i −0.702169 0.712010i \(-0.747785\pi\)
0.265534 + 0.964101i \(0.414452\pi\)
\(480\) −4.96816e42 + 3.36983e42i −0.625657 + 0.424373i
\(481\) 6.92557e41 1.19954e42i 0.0843596 0.146115i
\(482\) 7.38675e42i 0.870364i
\(483\) −3.80985e42 + 5.32724e41i −0.434264 + 0.0607223i
\(484\) −1.46972e42 −0.162072
\(485\) −4.80917e42 2.77658e42i −0.513101 0.296239i
\(486\) −9.09318e42 7.43150e42i −0.938719 0.767178i
\(487\) 7.50530e42 + 1.29996e43i 0.749730 + 1.29857i 0.947952 + 0.318413i \(0.103150\pi\)
−0.198222 + 0.980157i \(0.563517\pi\)
\(488\) 9.49680e42 + 5.48298e42i 0.918037 + 0.530029i
\(489\) −1.41527e41 1.95127e42i −0.0132403 0.182548i
\(490\) 7.09067e42 + 9.19977e42i 0.642022 + 0.832990i
\(491\) 1.63797e42i 0.143550i 0.997421 + 0.0717749i \(0.0228663\pi\)
−0.997421 + 0.0717749i \(0.977134\pi\)
\(492\) 1.78167e42 3.67711e42i 0.151142 0.311936i
\(493\) −3.60835e42 6.24984e42i −0.296318 0.513238i
\(494\) −6.24602e42 + 3.60614e42i −0.496561 + 0.286690i
\(495\) 3.37311e42 8.47491e42i 0.259626 0.652307i
\(496\) −2.21450e43 −1.65033
\(497\) 9.46594e41 + 1.42085e43i 0.0683064 + 1.02529i
\(498\) 2.33254e40 + 3.21593e41i 0.00162990 + 0.0224718i
\(499\) −1.39898e43 + 2.42311e43i −0.946680 + 1.63970i −0.194328 + 0.980937i \(0.562253\pi\)
−0.752352 + 0.658761i \(0.771081\pi\)
\(500\) −6.71759e42 + 3.87840e42i −0.440244 + 0.254175i
\(501\) −2.34868e42 3.46268e42i −0.149080 0.219790i
\(502\) −1.45833e43 + 2.52589e43i −0.896593 + 1.55294i
\(503\) 2.54742e43i 1.51710i 0.651617 + 0.758548i \(0.274091\pi\)
−0.651617 + 0.758548i \(0.725909\pi\)
\(504\) −1.06038e43 3.42320e42i −0.611746 0.197490i
\(505\) 1.06494e43 0.595200
\(506\) −6.88075e42 3.97260e42i −0.372587 0.215113i
\(507\) 1.33616e43 9.06294e42i 0.701019 0.475490i
\(508\) 5.21457e42 + 9.03190e42i 0.265094 + 0.459155i
\(509\) 1.61889e43 + 9.34665e42i 0.797503 + 0.460438i 0.842597 0.538544i \(-0.181026\pi\)
−0.0450944 + 0.998983i \(0.514359\pi\)
\(510\) 1.12548e43 8.16318e41i 0.537297 0.0389705i
\(511\) 1.48613e43 + 2.21900e43i 0.687581 + 1.02665i
\(512\) 6.36894e42i 0.285593i
\(513\) −2.65296e43 8.39261e42i −1.15306 0.364770i
\(514\) −2.30791e43 3.99742e43i −0.972321 1.68411i
\(515\) 6.61536e42 3.81938e42i 0.270170 0.155983i
\(516\) −1.38342e43 6.70307e42i −0.547720 0.265386i
\(517\) −5.27087e41 −0.0202318
\(518\) −1.16773e43 + 7.82069e42i −0.434578 + 0.291051i
\(519\) 3.77857e43 2.74063e42i 1.36348 0.0988946i
\(520\) −3.11634e42 + 5.39765e42i −0.109041 + 0.188865i
\(521\) −4.70539e43 + 2.71666e43i −1.59659 + 0.921790i −0.604448 + 0.796644i \(0.706606\pi\)
−0.992138 + 0.125145i \(0.960060\pi\)
\(522\) −2.64169e43 3.34534e43i −0.869269 1.10081i
\(523\) 3.65924e42 6.33799e42i 0.116779 0.202267i −0.801711 0.597712i \(-0.796076\pi\)
0.918489 + 0.395446i \(0.129410\pi\)
\(524\) 5.11178e42i 0.158224i
\(525\) −7.63975e42 3.09287e42i −0.229367 0.0928567i
\(526\) 1.76972e43 0.515387
\(527\) 2.07463e43 + 1.19779e43i 0.586100 + 0.338385i
\(528\) −2.07050e43 3.05256e43i −0.567457 0.836607i
\(529\) −1.51889e43 2.63079e43i −0.403864 0.699513i
\(530\) 3.81261e43 + 2.20121e43i 0.983578 + 0.567869i
\(531\) 2.95039e41 + 2.02319e42i 0.00738528 + 0.0506435i
\(532\) 2.33379e43 1.55481e42i 0.566859 0.0377652i
\(533\) 1.22427e43i 0.288563i
\(534\) 4.06854e43 + 1.97133e43i 0.930633 + 0.450919i
\(535\) −3.10073e43 5.37063e43i −0.688341 1.19224i
\(536\) 8.88401e42 5.12919e42i 0.191414 0.110513i
\(537\) 1.81085e43 3.73734e43i 0.378699 0.781580i
\(538\) 1.13583e44 2.30566
\(539\) −3.25301e43 + 2.50724e43i −0.641011 + 0.494056i
\(540\) 2.08024e43 4.59095e42i 0.397936 0.0878219i
\(541\) −3.80694e43 + 6.59381e43i −0.707000 + 1.22456i 0.258964 + 0.965887i \(0.416619\pi\)
−0.965965 + 0.258674i \(0.916715\pi\)
\(542\) 6.90848e43 3.98861e43i 1.24564 0.719173i
\(543\) −7.88495e42 + 5.34824e42i −0.138039 + 0.0936297i
\(544\) 1.31302e43 2.27422e43i 0.223197 0.386589i
\(545\) 9.63700e43i 1.59073i
\(546\) 2.92924e43 4.09590e42i 0.469540 0.0656549i
\(547\) 1.23387e43 0.192075 0.0960375 0.995378i \(-0.469383\pi\)
0.0960375 + 0.995378i \(0.469383\pi\)
\(548\) −2.34208e43 1.35220e43i −0.354090 0.204434i
\(549\) −6.95978e43 8.81359e43i −1.02197 1.29418i
\(550\) −8.51136e42 1.47421e43i −0.121394 0.210260i
\(551\) −8.74673e43 5.04993e43i −1.21177 0.699616i
\(552\) 1.51518e42 + 2.08902e43i 0.0203911 + 0.281137i
\(553\) −5.69182e43 + 1.15732e44i −0.744131 + 1.51304i
\(554\) 7.42388e42i 0.0942920i
\(555\) −1.32249e43 + 2.72944e43i −0.163194 + 0.336810i
\(556\) −3.65139e42 6.32440e42i −0.0437786 0.0758268i
\(557\) 8.01291e43 4.62625e43i 0.933484 0.538947i 0.0455723 0.998961i \(-0.485489\pi\)
0.887912 + 0.460014i \(0.152156\pi\)
\(558\) 1.31467e44 + 5.23252e43i 1.48822 + 0.592330i
\(559\) −4.60598e43 −0.506680
\(560\) 8.42176e43 5.64033e43i 0.900314 0.602970i
\(561\) 2.88648e42 + 3.97966e43i 0.0299890 + 0.413466i
\(562\) −8.59076e43 + 1.48796e44i −0.867462 + 1.50249i
\(563\) −1.97434e43 + 1.13989e43i −0.193771 + 0.111874i −0.593747 0.804652i \(-0.702352\pi\)
0.399976 + 0.916526i \(0.369019\pi\)
\(564\) −6.91003e41 1.01875e42i −0.00659196 0.00971857i
\(565\) −5.44831e43 + 9.43675e43i −0.505227 + 0.875079i
\(566\) 5.39431e43i 0.486265i
\(567\) 8.79310e43 + 7.27292e43i 0.770572 + 0.637353i
\(568\) 7.75317e43 0.660550
\(569\) −1.51653e44 8.75566e43i −1.25618 0.725258i −0.283854 0.958868i \(-0.591613\pi\)
−0.972331 + 0.233609i \(0.924946\pi\)
\(570\) 1.30697e44 8.86499e43i 1.05261 0.713971i
\(571\) 1.42997e43 + 2.47677e43i 0.111982 + 0.193958i 0.916569 0.399876i \(-0.130947\pi\)
−0.804587 + 0.593834i \(0.797613\pi\)
\(572\) 1.69087e43 + 9.76222e42i 0.128758 + 0.0743382i
\(573\) −1.46408e44 + 1.06191e43i −1.08415 + 0.0786343i
\(574\) −5.48224e43 + 1.11470e44i −0.394792 + 0.802730i
\(575\) 1.54929e43i 0.108504i
\(576\) −1.04544e43 + 2.62667e43i −0.0712100 + 0.178915i
\(577\) −2.89484e43 5.01402e43i −0.191784 0.332179i 0.754058 0.656808i \(-0.228094\pi\)
−0.945841 + 0.324629i \(0.894761\pi\)
\(578\) 1.20180e44 6.93860e43i 0.774439 0.447123i
\(579\) −1.55264e44 7.52301e43i −0.973228 0.471558i
\(580\) 7.73236e43 0.471481
\(581\) −2.08270e41 3.12616e42i −0.00123540 0.0185435i
\(582\) 1.43105e44 1.03795e43i 0.825824 0.0598976i
\(583\) −7.78343e43 + 1.34813e44i −0.436993 + 0.756893i
\(584\) 1.25928e44 7.27046e43i 0.687887 0.397152i
\(585\) 5.00934e43 3.95570e43i 0.266248 0.210247i
\(586\) 1.44819e44 2.50835e44i 0.748971 1.29726i
\(587\) 4.36417e43i 0.219630i 0.993952 + 0.109815i \(0.0350259\pi\)
−0.993952 + 0.109815i \(0.964974\pi\)
\(588\) −9.11064e43 3.00045e43i −0.446181 0.146943i
\(589\) 3.35264e44 1.59787
\(590\) −1.00495e43 5.80211e42i −0.0466138 0.0269125i
\(591\) −1.23884e44 1.82643e44i −0.559261 0.824523i
\(592\) 6.13225e43 + 1.06214e44i 0.269446 + 0.466695i
\(593\) −3.39566e44 1.96048e44i −1.45227 0.838471i −0.453664 0.891173i \(-0.649883\pi\)
−0.998610 + 0.0527019i \(0.983217\pi\)
\(594\) 5.07908e43 + 2.30141e44i 0.211447 + 0.958102i
\(595\) −1.09406e44 + 7.28882e42i −0.443373 + 0.0295383i
\(596\) 7.20976e43i 0.284434i
\(597\) 2.86161e44 + 1.38653e44i 1.09906 + 0.532526i
\(598\) −2.77987e43 4.81487e43i −0.103945 0.180039i
\(599\) −1.11693e44 + 6.44862e43i −0.406629 + 0.234767i −0.689340 0.724438i \(-0.742099\pi\)
0.282711 + 0.959205i \(0.408766\pi\)
\(600\) −1.95674e43 + 4.03844e43i −0.0693607 + 0.143151i
\(601\) −4.17398e44 −1.44065 −0.720325 0.693636i \(-0.756008\pi\)
−0.720325 + 0.693636i \(0.756008\pi\)
\(602\) 4.19378e44 + 2.06255e44i 1.40949 + 0.693204i
\(603\) −1.03956e44 + 1.51598e43i −0.340231 + 0.0496154i
\(604\) 2.66638e43 4.61831e43i 0.0849828 0.147195i
\(605\) 8.35066e43 4.82126e43i 0.259200 0.149649i
\(606\) −2.27716e44 + 1.54456e44i −0.688385 + 0.466921i
\(607\) 3.07479e44 5.32569e44i 0.905308 1.56804i 0.0848054 0.996398i \(-0.472973\pi\)
0.820503 0.571642i \(-0.193694\pi\)
\(608\) 3.67517e44i 1.05395i
\(609\) 2.54774e44 + 3.26566e44i 0.711669 + 0.912208i
\(610\) 6.37380e44 1.73429
\(611\) −3.19420e42 1.84417e42i −0.00846647 0.00488812i
\(612\) −7.31345e43 + 5.77517e43i −0.188843 + 0.149122i
\(613\) −2.67614e44 4.63521e44i −0.673195 1.16601i −0.976993 0.213272i \(-0.931588\pi\)
0.303798 0.952737i \(-0.401745\pi\)
\(614\) 1.15967e44 + 6.69538e43i 0.284212 + 0.164090i
\(615\) 1.93927e43 + 2.67372e44i 0.0463060 + 0.638432i
\(616\) 1.24435e44 + 1.85798e44i 0.289501 + 0.432264i
\(617\) 6.18209e44i 1.40143i 0.713439 + 0.700717i \(0.247136\pi\)
−0.713439 + 0.700717i \(0.752864\pi\)
\(618\) −8.60607e43 + 1.77617e44i −0.190103 + 0.392346i
\(619\) −2.06473e44 3.57621e44i −0.444439 0.769791i 0.553574 0.832800i \(-0.313264\pi\)
−0.998013 + 0.0630088i \(0.979930\pi\)
\(620\) −2.22287e44 + 1.28338e44i −0.466281 + 0.269207i
\(621\) 6.46961e43 2.04509e44i 0.132255 0.418068i
\(622\) −9.28049e44 −1.84895
\(623\) −3.94201e44 1.93873e44i −0.765436 0.376450i
\(624\) −1.86717e43 2.57431e44i −0.0353370 0.487200i
\(625\) 1.87382e44 3.24556e44i 0.345659 0.598699i
\(626\) −9.05922e44 + 5.23034e44i −1.62893 + 0.940461i
\(627\) 3.13463e44 + 4.62141e44i 0.549422 + 0.810017i
\(628\) −7.93029e43 + 1.37357e44i −0.135499 + 0.234690i
\(629\) 1.32673e44i 0.220991i
\(630\) −6.33239e44 + 1.35852e44i −1.02830 + 0.220606i
\(631\) 5.25155e44 0.831414 0.415707 0.909499i \(-0.363534\pi\)
0.415707 + 0.909499i \(0.363534\pi\)
\(632\) 6.08125e44 + 3.51101e44i 0.938684 + 0.541950i
\(633\) −3.35983e44 + 2.27892e44i −0.505659 + 0.342981i
\(634\) −3.13735e44 5.43405e44i −0.460399 0.797435i
\(635\) −5.92564e44 3.42117e44i −0.847921 0.489548i
\(636\) −3.62606e44 + 2.63001e43i −0.505965 + 0.0366980i
\(637\) −2.84859e44 + 3.81248e43i −0.387614 + 0.0518773i
\(638\) 8.55449e44i 1.13518i
\(639\) −7.37716e44 2.93619e44i −0.954719 0.379989i
\(640\) −3.79710e44 6.57676e44i −0.479261 0.830104i
\(641\) −3.78037e44 + 2.18260e44i −0.465377 + 0.268686i −0.714303 0.699837i \(-0.753256\pi\)
0.248925 + 0.968523i \(0.419923\pi\)
\(642\) 1.44197e45 + 6.98677e44i 1.73139 + 0.838911i
\(643\) 2.26128e44 0.264836 0.132418 0.991194i \(-0.457726\pi\)
0.132418 + 0.991194i \(0.457726\pi\)
\(644\) 1.19856e43 + 1.79905e44i 0.0136926 + 0.205527i
\(645\) 1.00592e45 7.29601e43i 1.12100 0.0813073i
\(646\) −3.45415e44 + 5.98276e44i −0.375509 + 0.650401i
\(647\) 2.97809e44 1.71940e44i 0.315842 0.182351i −0.333696 0.942681i \(-0.608296\pi\)
0.649538 + 0.760329i \(0.274963\pi\)
\(648\) 4.26934e44 4.51372e44i 0.441734 0.467019i
\(649\) 2.05161e43 3.55349e43i 0.0207100 0.0358707i
\(650\) 1.19118e44i 0.117318i
\(651\) −1.27443e45 5.15940e44i −1.22467 0.495796i
\(652\) −9.16957e43 −0.0859780
\(653\) −1.11594e45 6.44287e44i −1.02101 0.589479i −0.106613 0.994301i \(-0.534000\pi\)
−0.914396 + 0.404821i \(0.867334\pi\)
\(654\) 1.39772e45 + 2.06068e45i 1.24789 + 1.83978i
\(655\) 1.67687e44 + 2.90442e44i 0.146096 + 0.253045i
\(656\) 9.38795e44 + 5.42013e44i 0.798195 + 0.460838i
\(657\) −1.47355e45 + 2.14885e44i −1.22270 + 0.178304i
\(658\) 2.08253e43 + 3.10949e43i 0.0168646 + 0.0251811i
\(659\) 3.33994e43i 0.0263981i 0.999913 + 0.0131990i \(0.00420151\pi\)
−0.999913 + 0.0131990i \(0.995798\pi\)
\(660\) −3.84739e44 1.86417e44i −0.296799 0.143808i
\(661\) 9.07624e44 + 1.57205e45i 0.683412 + 1.18370i 0.973933 + 0.226836i \(0.0728382\pi\)
−0.290521 + 0.956869i \(0.593828\pi\)
\(662\) 2.32184e45 1.34051e45i 1.70649 0.985244i
\(663\) −1.21748e44 + 2.51270e44i −0.0873464 + 0.180271i
\(664\) −1.70586e43 −0.0119468
\(665\) −1.27501e45 + 8.53916e44i −0.871700 + 0.583806i
\(666\) −1.13082e44 7.75445e44i −0.0754756 0.517563i
\(667\) 3.89284e44 6.74259e44i 0.253661 0.439353i
\(668\) −1.69833e44 + 9.80530e43i −0.108043 + 0.0623789i
\(669\) −2.14392e45 + 1.45419e45i −1.33165 + 0.903241i
\(670\) 2.98126e44 5.16370e44i 0.180802 0.313158i
\(671\) 2.25376e45i 1.33459i
\(672\) −5.65574e44 + 1.39703e45i −0.327025 + 0.807790i
\(673\) 3.22060e45 1.81843 0.909214 0.416329i \(-0.136684\pi\)
0.909214 + 0.416329i \(0.136684\pi\)
\(674\) 9.29634e44 + 5.36724e44i 0.512571 + 0.295933i
\(675\) 3.39124e44 3.10155e44i 0.182599 0.167001i
\(676\) −3.78360e44 6.55339e44i −0.198957 0.344603i
\(677\) 1.34088e45 + 7.74160e44i 0.688609 + 0.397568i 0.803091 0.595857i \(-0.203187\pi\)
−0.114482 + 0.993425i \(0.536521\pi\)
\(678\) −2.03671e44 2.80807e45i −0.102154 1.40842i
\(679\) −1.39110e45 + 9.26777e43i −0.681463 + 0.0454003i
\(680\) 5.96997e44i 0.285647i
\(681\) −8.34349e44 + 1.72198e45i −0.389936 + 0.804773i
\(682\) −1.41983e45 2.45922e45i −0.648166 1.12266i
\(683\) 4.51305e44 2.60561e44i 0.201252 0.116193i −0.395988 0.918256i \(-0.629598\pi\)
0.597239 + 0.802063i \(0.296264\pi\)
\(684\) −4.82279e44 + 1.21172e45i −0.210088 + 0.527843i
\(685\) 1.77430e45 0.755054
\(686\) 2.76439e45 + 9.28464e44i 1.14925 + 0.385993i
\(687\) −2.89570e44 3.99237e45i −0.117610 1.62152i
\(688\) 2.03918e45 3.53197e45i 0.809173 1.40153i
\(689\) −9.43367e44 + 5.44653e44i −0.365740 + 0.211160i
\(690\) 6.83375e44 + 1.00750e45i 0.258865 + 0.381647i
\(691\) 1.55516e45 2.69361e45i 0.575606 0.996980i −0.420369 0.907353i \(-0.638099\pi\)
0.995975 0.0896263i \(-0.0285673\pi\)
\(692\) 1.77566e45i 0.642187i
\(693\) −4.80368e44 2.23912e45i −0.169763 0.791307i
\(694\) −5.22402e45 −1.80407
\(695\) 4.14931e44 + 2.39560e44i 0.140029 + 0.0808459i
\(696\) 1.86631e45 1.26589e45i 0.615512 0.417492i
\(697\) −5.86333e44 1.01556e45i −0.188982 0.327326i
\(698\) −7.77950e44 4.49150e44i −0.245056 0.141483i
\(699\) 3.45617e45 2.50678e44i 1.06404 0.0771759i
\(700\) −1.70485e44 + 3.46648e44i −0.0513001 + 0.104309i
\(701\) 5.21065e45i 1.53251i −0.642535 0.766256i \(-0.722117\pi\)
0.642535 0.766256i \(-0.277883\pi\)
\(702\) −4.97422e44 + 1.57239e45i −0.142998 + 0.452028i
\(703\) −9.28390e44 1.60802e45i −0.260883 0.451862i
\(704\) 4.91345e44 2.83678e44i 0.134966 0.0779226i
\(705\) 7.26805e43 + 3.52159e43i 0.0195161 + 0.00945611i
\(706\) −7.97321e44 −0.209295
\(707\) 2.22147e45 1.48779e45i 0.570072 0.381796i
\(708\) 9.55780e43 6.93235e42i 0.0239787 0.00173919i
\(709\) 1.83348e45 3.17567e45i 0.449713 0.778926i −0.548654 0.836050i \(-0.684860\pi\)
0.998367 + 0.0571234i \(0.0181929\pi\)
\(710\) 3.90267e45 2.25321e45i 0.935897 0.540340i
\(711\) −4.45667e45 5.64376e45i −1.04495 1.32329i
\(712\) −1.19591e45 + 2.07137e45i −0.274168 + 0.474873i
\(713\) 2.58445e45i 0.579343i
\(714\) 2.23371e45 1.74265e45i 0.489615 0.381979i
\(715\) −1.28096e45 −0.274560
\(716\) −1.68569e45 9.73233e44i −0.353321 0.203990i
\(717\) 4.64052e45 + 6.84155e45i 0.951174 + 1.40232i
\(718\) 1.44071e45 + 2.49539e45i 0.288793 + 0.500204i
\(719\) −6.11289e45 3.52928e45i −1.19835 0.691869i −0.238165 0.971225i \(-0.576546\pi\)
−0.960188 + 0.279356i \(0.909879\pi\)
\(720\) 8.15555e44 + 5.59256e45i 0.156363 + 1.07224i
\(721\) 8.46375e44 1.72093e45i 0.158708 0.322701i
\(722\) 3.05800e45i 0.560844i
\(723\) 3.60162e45 + 1.74509e45i 0.646079 + 0.313044i
\(724\) 2.23279e44 + 3.86730e44i 0.0391769 + 0.0678564i
\(725\) 1.44461e45 8.34046e44i 0.247938 0.143147i
\(726\) −1.08636e45 + 2.24209e45i −0.182384 + 0.376414i
\(727\) 4.08500e44 0.0670876 0.0335438 0.999437i \(-0.489321\pi\)
0.0335438 + 0.999437i \(0.489321\pi\)
\(728\) 1.04018e44 + 1.56133e45i 0.0167112 + 0.250837i
\(729\) −5.77167e45 + 2.67798e45i −0.907113 + 0.420888i
\(730\) 4.22585e45 7.31938e45i 0.649752 1.12540i
\(731\) −3.82077e45 + 2.20592e45i −0.574742 + 0.331828i
\(732\) −4.35605e45 + 2.95464e45i −0.641086 + 0.434838i
\(733\) −4.66940e45 + 8.08764e45i −0.672353 + 1.16455i 0.304882 + 0.952390i \(0.401383\pi\)
−0.977235 + 0.212160i \(0.931950\pi\)
\(734\) 7.46404e45i 1.05157i
\(735\) 6.16076e45 1.28385e45i 0.849252 0.176977i
\(736\) 2.83308e45 0.382132
\(737\) 1.82587e45 + 1.05417e45i 0.240985 + 0.139133i
\(738\) −4.29257e45 5.43595e45i −0.554391 0.702059i
\(739\) −2.01849e45 3.49613e45i −0.255103 0.441851i 0.709820 0.704383i \(-0.248776\pi\)
−0.964923 + 0.262531i \(0.915443\pi\)