Properties

Label 21.33.h.b.2.4
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 2.4
Character \(\chi\) \(=\) 21.2
Dual form 21.33.h.b.11.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-103808. - 59933.5i) q^{2} +(-9.97571e6 - 4.18749e7i) q^{3} +(5.03657e9 + 8.72360e9i) q^{4} +(-1.39609e11 - 8.06034e10i) q^{5} +(-1.47415e12 + 4.94482e12i) q^{6} +(2.67513e13 + 1.97179e13i) q^{7} -6.92614e14i q^{8} +(-1.65399e15 + 8.35463e14i) q^{9} +O(q^{10})\) \(q+(-103808. - 59933.5i) q^{2} +(-9.97571e6 - 4.18749e7i) q^{3} +(5.03657e9 + 8.72360e9i) q^{4} +(-1.39609e11 - 8.06034e10i) q^{5} +(-1.47415e12 + 4.94482e12i) q^{6} +(2.67513e13 + 1.97179e13i) q^{7} -6.92614e14i q^{8} +(-1.65399e15 + 8.35463e14i) q^{9} +(9.66169e15 + 1.67345e16i) q^{10} +(2.54609e15 - 1.46999e15i) q^{11} +(3.15056e17 - 2.97930e17i) q^{12} -1.02086e18 q^{13} +(-1.59523e18 - 3.65018e18i) q^{14} +(-1.98256e18 + 6.65019e18i) q^{15} +(-1.98789e19 + 3.44312e19i) q^{16} +(1.64190e19 - 9.47951e18i) q^{17} +(2.21770e20 + 1.24018e19i) q^{18} +(-2.00418e20 + 3.47134e20i) q^{19} -1.62386e21i q^{20} +(5.58823e20 - 1.31691e21i) q^{21} -3.52406e20 q^{22} +(1.36744e21 + 7.89490e20i) q^{23} +(-2.90031e22 + 6.90931e21i) q^{24} +(1.35228e21 + 2.34222e21i) q^{25} +(1.05974e23 + 6.11840e22i) q^{26} +(5.14847e22 + 6.09263e22i) q^{27} +(-3.72765e22 + 3.32678e23i) q^{28} +2.17970e23i q^{29} +(6.04375e23 - 5.71521e23i) q^{30} +(2.63413e23 + 4.56245e23i) q^{31} +(1.55096e24 - 8.95445e23i) q^{32} +(-8.69546e22 - 9.19531e22i) q^{33} -2.27256e24 q^{34} +(-2.14539e24 - 4.90905e24i) q^{35} +(-1.56187e25 - 1.02209e25i) q^{36} +(-9.66007e24 + 1.67317e25i) q^{37} +(4.16099e25 - 2.40235e25i) q^{38} +(1.01838e25 + 4.27486e25i) q^{39} +(-5.58270e25 + 9.66952e25i) q^{40} +1.22429e26i q^{41} +(-1.36937e26 + 1.03213e26i) q^{42} -1.75166e25 q^{43} +(2.56472e25 + 1.48074e25i) q^{44} +(2.98253e26 + 1.66789e25i) q^{45} +(-9.46339e25 - 1.63911e26i) q^{46} +(-6.98035e26 - 4.03011e26i) q^{47} +(1.64011e27 + 4.88949e26i) q^{48} +(3.26835e26 + 1.05496e27i) q^{49} -3.24188e26i q^{50} +(-5.60744e26 - 5.92978e26i) q^{51} +(-5.14166e27 - 8.90562e27i) q^{52} +(-6.47066e26 + 3.73584e26i) q^{53} +(-1.69299e27 - 9.41029e27i) q^{54} -4.73944e26 q^{55} +(1.36569e28 - 1.85283e28i) q^{56} +(1.65355e28 + 4.92956e27i) q^{57} +(1.30637e28 - 2.26270e28i) q^{58} +(2.81091e28 - 1.62288e28i) q^{59} +(-6.79989e28 + 1.61992e28i) q^{60} +(2.26396e28 - 3.92130e28i) q^{61} -6.31492e28i q^{62} +(-6.07200e28 - 1.02635e28i) q^{63} -4.39106e28 q^{64} +(1.42522e29 + 8.22852e28i) q^{65} +(3.51550e27 + 1.47570e28i) q^{66} +(6.60810e28 + 1.14456e29i) q^{67} +(1.65391e29 + 9.54885e28i) q^{68} +(1.94187e28 - 6.51370e28i) q^{69} +(-7.15078e28 + 6.38179e29i) q^{70} -2.34929e29i q^{71} +(5.78653e29 + 1.14558e30i) q^{72} +(-3.15026e29 - 5.45641e29i) q^{73} +(2.00558e30 - 1.15792e30i) q^{74} +(8.45903e28 - 7.99920e28i) q^{75} -4.03768e30 q^{76} +(9.70963e28 + 1.08796e28i) q^{77} +(1.50491e30 - 5.04800e30i) q^{78} +(-7.60627e29 + 1.31745e30i) q^{79} +(5.55054e30 - 3.20461e30i) q^{80} +(2.03769e30 - 2.76370e30i) q^{81} +(7.33759e30 - 1.27091e31i) q^{82} +4.42650e30i q^{83} +(1.43027e31 - 1.75775e30i) q^{84} -3.05632e30 q^{85} +(1.81837e30 + 1.04983e30i) q^{86} +(9.12747e30 - 2.17440e30i) q^{87} +(-1.01813e30 - 1.76346e30i) q^{88} +(-2.57237e30 - 1.48516e30i) q^{89} +(-2.99614e31 - 1.96068e31i) q^{90} +(-2.73094e31 - 2.01293e31i) q^{91} +1.59053e31i q^{92} +(1.64775e31 - 1.55818e31i) q^{93} +(4.83077e31 + 8.36715e31i) q^{94} +(5.59603e31 - 3.23087e31i) q^{95} +(-5.29686e31 - 5.60134e31i) q^{96} -1.04782e32 q^{97} +(2.92994e31 - 1.29102e32i) q^{98} +(-2.98309e30 + 4.55851e30i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −103808. 59933.5i −1.58398 0.914513i −0.994270 0.106901i \(-0.965907\pi\)
−0.589714 0.807612i \(-0.700759\pi\)
\(3\) −9.97571e6 4.18749e7i −0.231741 0.972777i
\(4\) 5.03657e9 + 8.72360e9i 1.17267 + 2.03112i
\(5\) −1.39609e11 8.06034e10i −0.914943 0.528242i −0.0329246 0.999458i \(-0.510482\pi\)
−0.882018 + 0.471215i \(0.843815\pi\)
\(6\) −1.47415e12 + 4.94482e12i −0.522543 + 1.75279i
\(7\) 2.67513e13 + 1.97179e13i 0.804963 + 0.593325i
\(8\) 6.92614e14i 2.46066i
\(9\) −1.65399e15 + 8.35463e14i −0.892592 + 0.450866i
\(10\) 9.66169e15 + 1.67345e16i 0.966169 + 1.67345i
\(11\) 2.54609e15 1.46999e15i 0.0554104 0.0319912i −0.472039 0.881578i \(-0.656482\pi\)
0.527449 + 0.849587i \(0.323148\pi\)
\(12\) 3.15056e17 2.97930e17i 1.70407 1.61144i
\(13\) −1.02086e18 −1.53417 −0.767087 0.641543i \(-0.778294\pi\)
−0.767087 + 0.641543i \(0.778294\pi\)
\(14\) −1.59523e18 3.65018e18i −0.732445 1.67597i
\(15\) −1.98256e18 + 6.65019e18i −0.301832 + 1.01245i
\(16\) −1.98789e19 + 3.44312e19i −1.07764 + 1.86652i
\(17\) 1.64190e19 9.47951e18i 0.337415 0.194806i −0.321714 0.946837i \(-0.604259\pi\)
0.659128 + 0.752031i \(0.270925\pi\)
\(18\) 2.21770e20 + 1.24018e19i 1.82617 + 0.102123i
\(19\) −2.00418e20 + 3.47134e20i −0.694830 + 1.20348i 0.275408 + 0.961327i \(0.411187\pi\)
−0.970238 + 0.242153i \(0.922146\pi\)
\(20\) 1.62386e21i 2.47781i
\(21\) 5.58823e20 1.31691e21i 0.390630 0.920548i
\(22\) −3.52406e20 −0.117025
\(23\) 1.36744e21 + 7.89490e20i 0.222978 + 0.128736i 0.607328 0.794451i \(-0.292241\pi\)
−0.384350 + 0.923187i \(0.625575\pi\)
\(24\) −2.90031e22 + 6.90931e21i −2.39367 + 0.570236i
\(25\) 1.35228e21 + 2.34222e21i 0.0580801 + 0.100598i
\(26\) 1.05974e23 + 6.11840e22i 2.43011 + 1.40302i
\(27\) 5.14847e22 + 6.09263e22i 0.645442 + 0.763809i
\(28\) −3.72765e22 + 3.32678e23i −0.261160 + 2.33075i
\(29\) 2.17970e23i 0.871021i 0.900184 + 0.435511i \(0.143432\pi\)
−0.900184 + 0.435511i \(0.856568\pi\)
\(30\) 6.04375e23 5.71521e23i 1.40400 1.32768i
\(31\) 2.63413e23 + 4.56245e23i 0.362119 + 0.627208i 0.988309 0.152462i \(-0.0487202\pi\)
−0.626191 + 0.779670i \(0.715387\pi\)
\(32\) 1.55096e24 8.95445e23i 1.28292 0.740695i
\(33\) −8.69546e22 9.19531e22i −0.0439612 0.0464883i
\(34\) −2.27256e24 −0.712612
\(35\) −2.14539e24 4.90905e24i −0.423076 0.968074i
\(36\) −1.56187e25 1.02209e25i −1.96248 1.28425i
\(37\) −9.66007e24 + 1.67317e25i −0.782984 + 1.35617i 0.147213 + 0.989105i \(0.452970\pi\)
−0.930196 + 0.367063i \(0.880364\pi\)
\(38\) 4.16099e25 2.40235e25i 2.20120 1.27086i
\(39\) 1.01838e25 + 4.27486e25i 0.355532 + 1.49241i
\(40\) −5.58270e25 + 9.66952e25i −1.29982 + 2.25136i
\(41\) 1.22429e26i 1.92018i 0.279690 + 0.960090i \(0.409768\pi\)
−0.279690 + 0.960090i \(0.590232\pi\)
\(42\) −1.36937e26 + 1.03213e26i −1.46060 + 1.10090i
\(43\) −1.75166e25 −0.128220 −0.0641100 0.997943i \(-0.520421\pi\)
−0.0641100 + 0.997943i \(0.520421\pi\)
\(44\) 2.56472e25 + 1.48074e25i 0.129956 + 0.0750301i
\(45\) 2.98253e26 + 1.66789e25i 1.05484 + 0.0589886i
\(46\) −9.46339e25 1.63911e26i −0.235462 0.407833i
\(47\) −6.98035e26 4.03011e26i −1.23115 0.710806i −0.263882 0.964555i \(-0.585003\pi\)
−0.967270 + 0.253749i \(0.918336\pi\)
\(48\) 1.64011e27 + 4.88949e26i 2.06544 + 0.615750i
\(49\) 3.26835e26 + 1.05496e27i 0.295931 + 0.955209i
\(50\) 3.24188e26i 0.212460i
\(51\) −5.60744e26 5.92978e26i −0.267696 0.283085i
\(52\) −5.14166e27 8.90562e27i −1.79908 3.11609i
\(53\) −6.47066e26 + 3.73584e26i −0.166930 + 0.0963772i −0.581138 0.813805i \(-0.697392\pi\)
0.414207 + 0.910183i \(0.364059\pi\)
\(54\) −1.69299e27 9.41029e27i −0.323857 1.80013i
\(55\) −4.73944e26 −0.0675964
\(56\) 1.36569e28 1.85283e28i 1.45997 1.98074i
\(57\) 1.65355e28 + 4.92956e27i 1.33174 + 0.397019i
\(58\) 1.30637e28 2.26270e28i 0.796560 1.37968i
\(59\) 2.81091e28 1.62288e28i 1.30381 0.752756i 0.322756 0.946482i \(-0.395391\pi\)
0.981056 + 0.193726i \(0.0620573\pi\)
\(60\) −6.79989e28 + 1.61992e28i −2.41036 + 0.574212i
\(61\) 2.26396e28 3.92130e28i 0.616015 1.06697i −0.374190 0.927352i \(-0.622079\pi\)
0.990205 0.139618i \(-0.0445874\pi\)
\(62\) 6.31492e28i 1.32465i
\(63\) −6.07200e28 1.02635e28i −0.986013 0.166667i
\(64\) −4.39106e28 −0.554230
\(65\) 1.42522e29 + 8.22852e28i 1.40368 + 0.810416i
\(66\) 3.51550e27 + 1.47570e28i 0.0271197 + 0.113840i
\(67\) 6.60810e28 + 1.14456e29i 0.400756 + 0.694129i 0.993817 0.111028i \(-0.0354143\pi\)
−0.593062 + 0.805157i \(0.702081\pi\)
\(68\) 1.65391e29 + 9.54885e28i 0.791351 + 0.456887i
\(69\) 1.94187e28 6.51370e28i 0.0735586 0.246742i
\(70\) −7.15078e28 + 6.38179e29i −0.215171 + 1.92032i
\(71\) 2.34929e29i 0.563382i −0.959505 0.281691i \(-0.909105\pi\)
0.959505 0.281691i \(-0.0908953\pi\)
\(72\) 5.78653e29 + 1.14558e30i 1.10943 + 2.19636i
\(73\) −3.15026e29 5.45641e29i −0.484374 0.838960i 0.515465 0.856911i \(-0.327619\pi\)
−0.999839 + 0.0179505i \(0.994286\pi\)
\(74\) 2.00558e30 1.15792e30i 2.48047 1.43210i
\(75\) 8.45903e28 7.99920e28i 0.0843996 0.0798117i
\(76\) −4.03768e30 −3.25922
\(77\) 9.70963e28 + 1.08796e28i 0.0635845 + 0.00712462i
\(78\) 1.50491e30 5.04800e30i 0.801672 2.68909i
\(79\) −7.60627e29 + 1.31745e30i −0.330475 + 0.572399i −0.982605 0.185708i \(-0.940542\pi\)
0.652130 + 0.758107i \(0.273876\pi\)
\(80\) 5.55054e30 3.20461e30i 1.97195 1.13851i
\(81\) 2.03769e30 2.76370e30i 0.593440 0.804878i
\(82\) 7.33759e30 1.27091e31i 1.75603 3.04153i
\(83\) 4.42650e30i 0.872591i 0.899803 + 0.436295i \(0.143710\pi\)
−0.899803 + 0.436295i \(0.856290\pi\)
\(84\) 1.43027e31 1.75775e30i 2.32782 0.286081i
\(85\) −3.05632e30 −0.411620
\(86\) 1.81837e30 + 1.04983e30i 0.203098 + 0.117259i
\(87\) 9.12747e30 2.17440e30i 0.847310 0.201852i
\(88\) −1.01813e30 1.76346e30i −0.0787194 0.136346i
\(89\) −2.57237e30 1.48516e30i −0.165994 0.0958369i 0.414701 0.909958i \(-0.363886\pi\)
−0.580696 + 0.814121i \(0.697219\pi\)
\(90\) −2.99614e31 1.96068e31i −1.61690 1.05810i
\(91\) −2.73094e31 2.01293e31i −1.23495 0.910263i
\(92\) 1.59053e31i 0.603861i
\(93\) 1.64775e31 1.55818e31i 0.526216 0.497611i
\(94\) 4.83077e31 + 8.36715e31i 1.30008 + 2.25181i
\(95\) 5.59603e31 3.23087e31i 1.27146 0.734077i
\(96\) −5.29686e31 5.60134e31i −1.01784 1.07635i
\(97\) −1.04782e32 −1.70584 −0.852921 0.522040i \(-0.825171\pi\)
−0.852921 + 0.522040i \(0.825171\pi\)
\(98\) 2.92994e31 1.29102e32i 0.404801 1.78367i
\(99\) −2.98309e30 + 4.55851e30i −0.0350351 + 0.0535377i
\(100\) −1.36217e31 + 2.35936e31i −0.136217 + 0.235936i
\(101\) 7.71109e31 4.45200e31i 0.657618 0.379676i −0.133751 0.991015i \(-0.542702\pi\)
0.791369 + 0.611339i \(0.209369\pi\)
\(102\) 2.26704e31 + 9.51633e31i 0.165142 + 0.693213i
\(103\) 4.44797e31 7.70412e31i 0.277183 0.480095i −0.693500 0.720456i \(-0.743932\pi\)
0.970684 + 0.240361i \(0.0772658\pi\)
\(104\) 7.07065e32i 3.77508i
\(105\) −1.84164e32 + 1.38809e32i −0.843676 + 0.635901i
\(106\) 8.95608e31 0.352553
\(107\) −5.35687e31 3.09279e31i −0.181456 0.104763i 0.406521 0.913642i \(-0.366742\pi\)
−0.587976 + 0.808878i \(0.700075\pi\)
\(108\) −2.72191e32 + 7.55992e32i −0.794499 + 2.20667i
\(109\) −1.05938e32 1.83490e32i −0.266825 0.462155i 0.701215 0.712950i \(-0.252641\pi\)
−0.968040 + 0.250795i \(0.919308\pi\)
\(110\) 4.91991e31 + 2.84051e31i 0.107072 + 0.0618178i
\(111\) 7.97005e32 + 2.37603e32i 1.50070 + 0.447389i
\(112\) −1.21070e33 + 5.29109e32i −1.97491 + 0.863091i
\(113\) 9.57191e32i 1.35439i −0.735804 0.677195i \(-0.763196\pi\)
0.735804 0.677195i \(-0.236804\pi\)
\(114\) −1.42107e33 1.50276e33i −1.74638 1.84676i
\(115\) −1.27271e32 2.20440e32i −0.136008 0.235573i
\(116\) −1.90148e33 + 1.09782e33i −1.76915 + 1.02142i
\(117\) 1.68850e33 8.52895e32i 1.36939 0.691706i
\(118\) −3.89060e33 −2.75362
\(119\) 6.26145e32 + 7.01594e31i 0.387190 + 0.0433845i
\(120\) 4.60602e33 + 1.37315e33i 2.49130 + 0.742706i
\(121\) −1.05137e33 + 1.82102e33i −0.497953 + 0.862480i
\(122\) −4.70034e33 + 2.71374e33i −1.95152 + 1.12671i
\(123\) 5.12669e33 1.22131e33i 1.86791 0.444985i
\(124\) −2.65340e33 + 4.59583e33i −0.849290 + 1.47101i
\(125\) 3.31739e33i 0.933763i
\(126\) 5.68808e33 + 4.70460e33i 1.40941 + 1.16572i
\(127\) −2.73214e32 −0.0596545 −0.0298272 0.999555i \(-0.509496\pi\)
−0.0298272 + 0.999555i \(0.509496\pi\)
\(128\) −2.10304e33 1.21419e33i −0.405030 0.233844i
\(129\) 1.74741e32 + 7.33507e32i 0.0297139 + 0.124729i
\(130\) −9.86328e33 1.70837e34i −1.48227 2.56737i
\(131\) 5.05465e33 + 2.91831e33i 0.671971 + 0.387963i 0.796823 0.604213i \(-0.206512\pi\)
−0.124852 + 0.992175i \(0.539846\pi\)
\(132\) 3.64209e32 1.22169e33i 0.0428714 0.143806i
\(133\) −1.22062e34 + 5.33445e33i −1.27337 + 0.556498i
\(134\) 1.58419e34i 1.46599i
\(135\) −2.27686e33 1.26557e34i −0.187067 1.03979i
\(136\) −6.56564e33 1.13720e34i −0.479352 0.830262i
\(137\) 1.09710e34 6.33412e33i 0.712391 0.411299i −0.0995550 0.995032i \(-0.531742\pi\)
0.811946 + 0.583733i \(0.198409\pi\)
\(138\) −5.91970e33 + 5.59791e33i −0.342164 + 0.323564i
\(139\) 1.94619e34 1.00219 0.501094 0.865393i \(-0.332931\pi\)
0.501094 + 0.865393i \(0.332931\pi\)
\(140\) 3.20191e34 4.34403e34i 1.47015 1.99455i
\(141\) −9.91263e33 + 3.32505e34i −0.406147 + 1.36236i
\(142\) −1.40801e34 + 2.43875e34i −0.515220 + 0.892388i
\(143\) −2.59921e33 + 1.50066e33i −0.0850091 + 0.0490800i
\(144\) 4.11345e33 7.35570e34i 0.120339 2.15191i
\(145\) 1.75691e34 3.04306e34i 0.460110 0.796934i
\(146\) 7.55225e34i 1.77187i
\(147\) 4.09159e34 2.42101e34i 0.860626 0.509237i
\(148\) −1.94615e35 −3.67272
\(149\) −9.46362e34 5.46383e34i −1.60353 0.925799i −0.990774 0.135527i \(-0.956727\pi\)
−0.612756 0.790272i \(-0.709939\pi\)
\(150\) −1.35754e34 + 3.23401e33i −0.206676 + 0.0492358i
\(151\) 5.16711e34 + 8.94969e34i 0.707321 + 1.22512i 0.965847 + 0.259111i \(0.0834296\pi\)
−0.258527 + 0.966004i \(0.583237\pi\)
\(152\) 2.40430e35 + 1.38812e35i 2.96135 + 1.70974i
\(153\) −1.92371e34 + 2.93965e34i −0.213342 + 0.326011i
\(154\) −9.42731e33 6.94871e33i −0.0942012 0.0694341i
\(155\) 8.49281e34i 0.765145i
\(156\) −3.21630e35 + 3.04146e35i −2.61435 + 2.47223i
\(157\) 2.31122e34 + 4.00315e34i 0.169608 + 0.293770i 0.938282 0.345871i \(-0.112416\pi\)
−0.768674 + 0.639641i \(0.779083\pi\)
\(158\) 1.57918e35 9.11742e34i 1.04693 0.604447i
\(159\) 2.20987e34 + 2.33691e34i 0.132438 + 0.140051i
\(160\) −2.88704e35 −1.56507
\(161\) 2.10136e34 + 4.80829e34i 0.103107 + 0.235927i
\(162\) −3.77166e35 + 1.64768e35i −1.67607 + 0.732204i
\(163\) −1.18449e35 + 2.05160e35i −0.477014 + 0.826213i −0.999653 0.0263412i \(-0.991614\pi\)
0.522639 + 0.852554i \(0.324948\pi\)
\(164\) −1.06802e36 + 6.16622e35i −3.90012 + 2.25174i
\(165\) 4.72792e33 + 1.98463e34i 0.0156649 + 0.0657563i
\(166\) 2.65296e35 4.59505e35i 0.797996 1.38217i
\(167\) 5.59659e35i 1.52918i 0.644514 + 0.764592i \(0.277060\pi\)
−0.644514 + 0.764592i \(0.722940\pi\)
\(168\) −9.12108e35 3.87048e35i −2.26515 0.961206i
\(169\) 5.99385e35 1.35369
\(170\) 3.17271e35 + 1.83176e35i 0.651999 + 0.376432i
\(171\) 4.14716e34 7.41598e35i 0.0775913 1.38749i
\(172\) −8.82239e34 1.52808e35i −0.150360 0.260430i
\(173\) −7.64577e35 4.41428e35i −1.18764 0.685682i −0.229867 0.973222i \(-0.573829\pi\)
−0.957769 + 0.287540i \(0.907163\pi\)
\(174\) −1.07782e36 3.21321e35i −1.52672 0.455146i
\(175\) −1.00085e34 + 8.93217e34i −0.0129348 + 0.115438i
\(176\) 1.16887e35i 0.137899i
\(177\) −9.59987e35 1.01517e36i −1.03441 1.09387i
\(178\) 1.78022e35 + 3.08343e35i 0.175288 + 0.303608i
\(179\) −1.05010e35 + 6.06275e34i −0.0945326 + 0.0545784i −0.546521 0.837445i \(-0.684048\pi\)
0.451988 + 0.892024i \(0.350715\pi\)
\(180\) 1.35668e36 + 2.68585e36i 1.11716 + 2.21168i
\(181\) 2.04958e35 0.154457 0.0772285 0.997013i \(-0.475393\pi\)
0.0772285 + 0.997013i \(0.475393\pi\)
\(182\) 1.62851e36 + 3.72634e36i 1.12370 + 2.57122i
\(183\) −1.86788e36 5.56854e35i −1.18068 0.351985i
\(184\) 5.46812e35 9.47106e35i 0.316776 0.548673i
\(185\) 2.69727e36 1.55727e36i 1.43277 0.827210i
\(186\) −2.64436e36 + 6.29958e35i −1.28859 + 0.306976i
\(187\) 2.78695e34 4.82714e34i 0.0124642 0.0215886i
\(188\) 8.11918e36i 3.33416i
\(189\) 1.75940e35 + 2.64503e36i 0.0663706 + 0.997795i
\(190\) −7.74550e36 −2.68529
\(191\) 3.52033e36 + 2.03246e36i 1.12214 + 0.647871i 0.941948 0.335760i \(-0.108993\pi\)
0.180197 + 0.983630i \(0.442326\pi\)
\(192\) 4.38040e35 + 1.83875e36i 0.128438 + 0.539142i
\(193\) −3.65755e34 6.33506e34i −0.00986900 0.0170936i 0.861049 0.508522i \(-0.169808\pi\)
−0.870918 + 0.491429i \(0.836475\pi\)
\(194\) 1.08772e37 + 6.27996e36i 2.70203 + 1.56002i
\(195\) 2.02392e36 6.78895e36i 0.463063 1.55328i
\(196\) −7.55692e36 + 8.16456e36i −1.59312 + 1.72122i
\(197\) 9.41012e36i 1.82867i −0.404957 0.914336i \(-0.632714\pi\)
0.404957 0.914336i \(-0.367286\pi\)
\(198\) 5.82876e35 2.94422e35i 0.104456 0.0527628i
\(199\) 4.99362e36 + 8.64920e36i 0.825594 + 1.42997i 0.901465 + 0.432852i \(0.142493\pi\)
−0.0758712 + 0.997118i \(0.524174\pi\)
\(200\) 1.62226e36 9.36610e35i 0.247537 0.142915i
\(201\) 4.13361e36 3.90891e36i 0.582361 0.550704i
\(202\) −1.06730e37 −1.38887
\(203\) −4.29792e36 + 5.83098e36i −0.516798 + 0.701140i
\(204\) 2.34868e36 7.87829e36i 0.261060 0.875688i
\(205\) 9.86818e36 1.70922e37i 1.01432 1.75686i
\(206\) −9.23470e36 + 5.33166e36i −0.878107 + 0.506975i
\(207\) −2.92132e36 1.63366e35i −0.257071 0.0143759i
\(208\) 2.02936e37 3.51496e37i 1.65328 2.86357i
\(209\) 1.17845e36i 0.0889138i
\(210\) 2.74370e37 3.37191e36i 1.91791 0.235704i
\(211\) 8.46555e36 0.548448 0.274224 0.961666i \(-0.411579\pi\)
0.274224 + 0.961666i \(0.411579\pi\)
\(212\) −6.51799e36 3.76317e36i −0.391508 0.226037i
\(213\) −9.83762e36 + 2.34358e36i −0.548045 + 0.130559i
\(214\) 3.70724e36 + 6.42112e36i 0.191615 + 0.331887i
\(215\) 2.44548e36 + 1.41190e36i 0.117314 + 0.0677312i
\(216\) 4.21984e37 3.56590e37i 1.87947 1.58821i
\(217\) −1.94957e36 + 1.73991e37i −0.0806459 + 0.719733i
\(218\) 2.53969e37i 0.976061i
\(219\) −1.97060e37 + 1.86348e37i −0.703872 + 0.665610i
\(220\) −2.38705e36 4.13450e36i −0.0792682 0.137297i
\(221\) −1.67616e37 + 9.67730e36i −0.517652 + 0.298867i
\(222\) −6.84951e37 7.24325e37i −1.96794 2.08106i
\(223\) −4.07735e37 −1.09018 −0.545092 0.838376i \(-0.683505\pi\)
−0.545092 + 0.838376i \(0.683505\pi\)
\(224\) 5.91464e37 + 6.62734e36i 1.47218 + 0.164957i
\(225\) −4.19350e36 2.74423e36i −0.0971979 0.0636064i
\(226\) −5.73678e37 + 9.93640e37i −1.23861 + 2.14533i
\(227\) 2.35631e36 1.36041e36i 0.0474043 0.0273689i −0.476111 0.879385i \(-0.657954\pi\)
0.523515 + 0.852017i \(0.324620\pi\)
\(228\) 4.02787e37 + 1.69077e38i 0.755297 + 3.17050i
\(229\) 9.44781e36 1.63641e37i 0.165182 0.286104i −0.771538 0.636184i \(-0.780512\pi\)
0.936720 + 0.350080i \(0.113845\pi\)
\(230\) 3.05113e37i 0.497525i
\(231\) −5.13022e35 4.17443e36i −0.00780449 0.0635046i
\(232\) 1.50969e38 2.14329
\(233\) 1.51923e37 + 8.77126e36i 0.201339 + 0.116243i 0.597280 0.802033i \(-0.296248\pi\)
−0.395941 + 0.918276i \(0.629582\pi\)
\(234\) −2.26397e38 1.26606e37i −2.80167 0.156675i
\(235\) 6.49681e37 + 1.12528e38i 0.750956 + 1.30069i
\(236\) 2.83147e38 + 1.63475e38i 3.05788 + 1.76547i
\(237\) 6.27557e37 + 1.87087e37i 0.633402 + 0.188830i
\(238\) −6.07940e37 4.48102e37i −0.573626 0.422810i
\(239\) 1.29468e38i 1.14234i 0.820830 + 0.571172i \(0.193511\pi\)
−0.820830 + 0.571172i \(0.806489\pi\)
\(240\) −1.89563e38 2.00460e38i −1.56450 1.65443i
\(241\) −2.44440e37 4.23383e37i −0.188756 0.326935i 0.756080 0.654479i \(-0.227112\pi\)
−0.944836 + 0.327545i \(0.893779\pi\)
\(242\) 2.18280e38 1.26024e38i 1.57750 0.910769i
\(243\) −1.36057e38 5.77580e37i −0.920492 0.390762i
\(244\) 4.56104e38 2.88953
\(245\) 3.94042e37 1.73626e38i 0.233822 1.03029i
\(246\) −6.05389e38 1.80479e38i −3.36568 1.00338i
\(247\) 2.04599e38 3.54377e38i 1.06599 1.84635i
\(248\) 3.16002e38 1.82444e38i 1.54334 0.891050i
\(249\) 1.85359e38 4.41574e37i 0.848837 0.202215i
\(250\) 1.98823e38 3.44372e38i 0.853939 1.47907i
\(251\) 3.74957e38i 1.51078i −0.655273 0.755392i \(-0.727446\pi\)
0.655273 0.755392i \(-0.272554\pi\)
\(252\) −2.16286e38 5.81390e38i −0.817747 2.19816i
\(253\) 4.64216e36 0.0164737
\(254\) 2.83617e37 + 1.63747e37i 0.0944917 + 0.0545548i
\(255\) 3.04890e37 + 1.27983e38i 0.0953894 + 0.400415i
\(256\) 2.39839e38 + 4.15413e38i 0.704822 + 1.22079i
\(257\) −2.37981e38 1.37398e38i −0.657070 0.379360i 0.134090 0.990969i \(-0.457189\pi\)
−0.791160 + 0.611610i \(0.790522\pi\)
\(258\) 2.58222e37 8.66167e37i 0.0670005 0.224743i
\(259\) −5.88334e38 + 2.57119e38i −1.43492 + 0.627101i
\(260\) 1.65774e39i 3.80140i
\(261\) −1.82106e38 3.60520e38i −0.392714 0.777466i
\(262\) −3.49809e38 6.05886e38i −0.709594 1.22905i
\(263\) −1.81691e38 + 1.04900e38i −0.346771 + 0.200208i −0.663262 0.748387i \(-0.730829\pi\)
0.316491 + 0.948595i \(0.397495\pi\)
\(264\) −6.36880e37 + 6.02259e37i −0.114392 + 0.108173i
\(265\) 1.20449e38 0.203642
\(266\) 1.58681e39 + 1.77802e38i 2.52592 + 0.283028i
\(267\) −3.65296e37 + 1.22533e38i −0.0547602 + 0.183685i
\(268\) −6.65643e38 + 1.15293e39i −0.939907 + 1.62797i
\(269\) 2.13153e38 1.23064e38i 0.283566 0.163717i −0.351471 0.936199i \(-0.614318\pi\)
0.635037 + 0.772482i \(0.280985\pi\)
\(270\) −5.22145e38 + 1.45022e39i −0.654593 + 1.81809i
\(271\) 1.03972e38 1.80084e38i 0.122859 0.212798i −0.798035 0.602611i \(-0.794127\pi\)
0.920894 + 0.389813i \(0.127460\pi\)
\(272\) 7.53768e38i 0.839721i
\(273\) −5.70482e38 + 1.34438e39i −0.599294 + 1.41228i
\(274\) −1.51851e39 −1.50455
\(275\) 6.88607e36 + 3.97568e36i 0.00643648 + 0.00371610i
\(276\) 6.66033e38 1.58667e38i 0.587422 0.139940i
\(277\) 3.76916e37 + 6.52838e37i 0.0313739 + 0.0543412i 0.881286 0.472583i \(-0.156678\pi\)
−0.849912 + 0.526924i \(0.823345\pi\)
\(278\) −2.02030e39 1.16642e39i −1.58745 0.916515i
\(279\) −8.16859e38 5.34553e38i −0.606010 0.396574i
\(280\) −3.40007e39 + 1.48593e39i −2.38210 + 1.04104i
\(281\) 9.70387e37i 0.0642161i 0.999484 + 0.0321080i \(0.0102221\pi\)
−0.999484 + 0.0321080i \(0.989778\pi\)
\(282\) 3.02183e39 2.85756e39i 1.88923 1.78653i
\(283\) −1.07319e39 1.85882e39i −0.634005 1.09813i −0.986725 0.162400i \(-0.948076\pi\)
0.352720 0.935729i \(-0.385257\pi\)
\(284\) 2.04943e39 1.18324e39i 1.14430 0.660660i
\(285\) −1.91117e39 2.02103e39i −1.00874 1.06673i
\(286\) 3.59759e38 0.179537
\(287\) −2.41404e39 + 3.27513e39i −1.13929 + 1.54567i
\(288\) −1.81716e39 + 2.77683e39i −0.811171 + 1.23956i
\(289\) −1.00423e39 + 1.73938e39i −0.424101 + 0.734564i
\(290\) −3.64763e39 + 2.10596e39i −1.45761 + 0.841554i
\(291\) 1.04527e39 + 4.38773e39i 0.395314 + 1.65940i
\(292\) 3.17330e39 5.49632e39i 1.13602 1.96764i
\(293\) 1.31780e39i 0.446651i −0.974744 0.223326i \(-0.928309\pi\)
0.974744 0.223326i \(-0.0716913\pi\)
\(294\) −5.69839e39 + 6.09689e37i −1.82892 + 0.0195682i
\(295\) −5.23239e39 −1.59055
\(296\) 1.15886e40 + 6.69070e39i 3.33706 + 1.92665i
\(297\) 2.20645e38 + 7.94422e37i 0.0601994 + 0.0216745i
\(298\) 6.54933e39 + 1.13438e40i 1.69331 + 2.93290i
\(299\) −1.39597e39 8.05963e38i −0.342087 0.197504i
\(300\) 1.12386e39 + 3.35047e38i 0.261080 + 0.0778332i
\(301\) −4.68593e38 3.45392e38i −0.103212 0.0760761i
\(302\) 1.23873e40i 2.58742i
\(303\) −2.63351e39 2.78489e39i −0.521738 0.551729i
\(304\) −7.96816e39 1.38013e40i −1.49755 2.59383i
\(305\) −6.32139e39 + 3.64966e39i −1.12724 + 0.650811i
\(306\) 3.75880e39 1.89864e39i 0.636072 0.321292i
\(307\) 6.17614e39 0.991981 0.495991 0.868328i \(-0.334805\pi\)
0.495991 + 0.868328i \(0.334805\pi\)
\(308\) 3.94123e38 + 9.01825e38i 0.0600925 + 0.137503i
\(309\) −3.66981e39 1.09404e39i −0.531261 0.158379i
\(310\) −5.09004e39 + 8.81621e39i −0.699736 + 1.21198i
\(311\) 2.58991e39 1.49529e39i 0.338157 0.195235i −0.321300 0.946978i \(-0.604120\pi\)
0.659457 + 0.751742i \(0.270786\pi\)
\(312\) 2.96083e40 7.05347e39i 3.67231 0.874842i
\(313\) 1.25327e39 2.17073e39i 0.147685 0.255797i −0.782687 0.622416i \(-0.786151\pi\)
0.930371 + 0.366619i \(0.119485\pi\)
\(314\) 5.54078e39i 0.620435i
\(315\) 7.64979e39 + 6.32712e39i 0.814105 + 0.673345i
\(316\) −1.53238e40 −1.55015
\(317\) −1.59038e40 9.18204e39i −1.52951 0.883062i −0.999382 0.0351432i \(-0.988811\pi\)
−0.530126 0.847919i \(-0.677855\pi\)
\(318\) −8.93433e38 3.75035e39i −0.0817011 0.342955i
\(319\) 3.20413e38 + 5.54971e38i 0.0278650 + 0.0482636i
\(320\) 6.13033e39 + 3.53934e39i 0.507089 + 0.292768i
\(321\) −7.60716e38 + 2.55171e39i −0.0598608 + 0.200794i
\(322\) 7.00401e38 6.25081e39i 0.0524388 0.467996i
\(323\) 7.59945e39i 0.541429i
\(324\) 3.43724e40 + 3.85640e39i 2.33071 + 0.261494i
\(325\) −1.38050e39 2.39109e39i −0.0891050 0.154334i
\(326\) 2.45920e40 1.41982e40i 1.51117 0.872472i
\(327\) −6.62680e39 + 6.26657e39i −0.387740 + 0.366662i
\(328\) 8.47959e40 4.72491
\(329\) −1.07268e40 2.45449e40i −0.569293 1.30265i
\(330\) 6.98665e38 2.34357e39i 0.0353220 0.118483i
\(331\) −1.04672e40 + 1.81297e40i −0.504175 + 0.873257i 0.495813 + 0.868429i \(0.334870\pi\)
−0.999988 + 0.00482800i \(0.998463\pi\)
\(332\) −3.86150e40 + 2.22944e40i −1.77234 + 1.02326i
\(333\) 1.99892e39 3.57448e40i 0.0874354 1.56352i
\(334\) 3.35423e40 5.80970e40i 1.39846 2.42220i
\(335\) 2.13054e40i 0.846784i
\(336\) 3.42339e40 + 4.54196e40i 1.29726 + 1.72113i
\(337\) 9.78961e39 0.353742 0.176871 0.984234i \(-0.443402\pi\)
0.176871 + 0.984234i \(0.443402\pi\)
\(338\) −6.22210e40 3.59233e40i −2.14422 1.23797i
\(339\) −4.00823e40 + 9.54866e39i −1.31752 + 0.313868i
\(340\) −1.53934e40 2.66621e40i −0.482694 0.836050i
\(341\) 1.34135e39 + 7.74428e38i 0.0401302 + 0.0231692i
\(342\) −4.87516e40 + 7.44982e40i −1.39178 + 2.12681i
\(343\) −1.20584e40 + 3.46660e40i −0.328536 + 0.944492i
\(344\) 1.21323e40i 0.315506i
\(345\) −7.96129e39 + 7.52851e39i −0.197641 + 0.186898i
\(346\) 5.29127e40 + 9.16476e40i 1.25413 + 2.17222i
\(347\) −2.52943e40 + 1.46037e40i −0.572468 + 0.330515i −0.758135 0.652098i \(-0.773889\pi\)
0.185666 + 0.982613i \(0.440556\pi\)
\(348\) 6.49398e40 + 6.86728e40i 1.40360 + 1.48428i
\(349\) 3.25520e40 0.672001 0.336001 0.941862i \(-0.390926\pi\)
0.336001 + 0.941862i \(0.390926\pi\)
\(350\) 6.39232e39 8.67246e39i 0.126058 0.171023i
\(351\) −5.25589e40 6.21975e40i −0.990221 1.17182i
\(352\) 2.63258e39 4.55977e39i 0.0473914 0.0820844i
\(353\) −4.59905e40 + 2.65526e40i −0.791176 + 0.456785i −0.840376 0.542004i \(-0.817666\pi\)
0.0492007 + 0.998789i \(0.484333\pi\)
\(354\) 3.88115e40 + 1.62918e41i 0.638128 + 2.67866i
\(355\) −1.89361e40 + 3.27982e40i −0.297602 + 0.515462i
\(356\) 2.99205e40i 0.449540i
\(357\) −3.30833e39 2.69196e40i −0.0475244 0.386703i
\(358\) 1.45345e40 0.199651
\(359\) −1.24596e41 7.19356e40i −1.63679 0.945002i −0.981928 0.189254i \(-0.939393\pi\)
−0.654863 0.755748i \(-0.727274\pi\)
\(360\) 1.15521e40 2.06574e41i 0.145151 2.59559i
\(361\) −3.87353e40 6.70915e40i −0.465577 0.806404i
\(362\) −2.12763e40 1.22839e40i −0.244657 0.141253i
\(363\) 8.67432e40 + 2.58599e40i 0.954398 + 0.284525i
\(364\) 3.80543e40 3.39620e41i 0.400665 3.57578i
\(365\) 1.01569e41i 1.02347i
\(366\) 1.60527e41 + 1.69755e41i 1.54828 + 1.63729i
\(367\) 9.20803e40 + 1.59488e41i 0.850178 + 1.47255i 0.881047 + 0.473028i \(0.156839\pi\)
−0.0308693 + 0.999523i \(0.509828\pi\)
\(368\) −5.43662e40 + 3.13884e40i −0.480578 + 0.277462i
\(369\) −1.02285e41 2.02496e41i −0.865744 1.71394i
\(370\) −3.73331e41 −3.02598
\(371\) −2.46762e40 2.76496e39i −0.191556 0.0214638i
\(372\) 2.18919e41 + 6.52643e40i 1.62778 + 0.485275i
\(373\) 1.41826e40 2.45649e40i 0.101022 0.174974i −0.811084 0.584929i \(-0.801122\pi\)
0.912106 + 0.409955i \(0.134456\pi\)
\(374\) −5.78615e39 + 3.34064e39i −0.0394861 + 0.0227973i
\(375\) 1.38915e41 3.30934e40i 0.908344 0.216392i
\(376\) −2.79131e41 + 4.83469e41i −1.74905 + 3.02944i
\(377\) 2.22518e41i 1.33630i
\(378\) 1.40262e41 2.85120e41i 0.807367 1.64119i
\(379\) 2.81497e40 0.155327 0.0776634 0.996980i \(-0.475254\pi\)
0.0776634 + 0.996980i \(0.475254\pi\)
\(380\) 5.63697e41 + 3.25450e41i 2.98200 + 1.72166i
\(381\) 2.72550e39 + 1.14408e40i 0.0138244 + 0.0580305i
\(382\) −2.43625e41 4.21971e41i −1.18497 2.05243i
\(383\) 1.62636e41 + 9.38981e40i 0.758642 + 0.438002i 0.828808 0.559533i \(-0.189019\pi\)
−0.0701657 + 0.997535i \(0.522353\pi\)
\(384\) −2.98647e40 + 1.00177e41i −0.133616 + 0.448196i
\(385\) −1.26786e40 9.34518e39i −0.0544126 0.0401066i
\(386\) 8.76840e39i 0.0361013i
\(387\) 2.89724e40 1.46345e40i 0.114448 0.0578100i
\(388\) −5.27742e41 9.14076e41i −2.00039 3.46477i
\(389\) −4.02194e41 + 2.32207e41i −1.46299 + 0.844659i −0.999149 0.0412579i \(-0.986863\pi\)
−0.463844 + 0.885917i \(0.653530\pi\)
\(390\) −6.16985e41 + 5.83446e41i −2.15398 + 2.03689i
\(391\) 2.99359e40 0.100315
\(392\) 7.30679e41 2.26370e41i 2.35044 0.728185i
\(393\) 7.17799e40 2.40775e41i 0.221678 0.743585i
\(394\) −5.63982e41 + 9.76845e41i −1.67234 + 2.89658i
\(395\) 2.12381e41 1.22618e41i 0.604731 0.349142i
\(396\) −5.47912e40 3.06403e39i −0.149826 0.00837858i
\(397\) −1.30945e41 + 2.26803e41i −0.343906 + 0.595662i −0.985154 0.171671i \(-0.945083\pi\)
0.641249 + 0.767333i \(0.278417\pi\)
\(398\) 1.19714e42i 3.02007i
\(399\) 3.45145e41 + 4.57918e41i 0.836440 + 1.10974i
\(400\) −1.07527e41 −0.250357
\(401\) 6.10368e41 + 3.52396e41i 1.36547 + 0.788353i 0.990345 0.138622i \(-0.0442673\pi\)
0.375123 + 0.926975i \(0.377601\pi\)
\(402\) −6.63376e41 + 1.58034e41i −1.42608 + 0.339729i
\(403\) −2.68909e41 4.65765e41i −0.555553 0.962246i
\(404\) 7.76749e41 + 4.48457e41i 1.54234 + 0.890468i
\(405\) −5.07243e41 + 2.21593e41i −0.968135 + 0.422937i
\(406\) 7.95629e41 3.47712e41i 1.45980 0.637975i
\(407\) 5.68007e40i 0.100194i
\(408\) −4.10705e41 + 3.88379e41i −0.696574 + 0.658709i
\(409\) 7.86808e40 + 1.36279e41i 0.128320 + 0.222257i 0.923026 0.384738i \(-0.125708\pi\)
−0.794706 + 0.606995i \(0.792375\pi\)
\(410\) −2.04879e42 + 1.18287e42i −3.21333 + 1.85522i
\(411\) −3.74684e41 3.96223e41i −0.565193 0.597682i
\(412\) 8.96102e41 1.30018
\(413\) 1.07195e42 + 1.20112e41i 1.49615 + 0.167643i
\(414\) 2.93465e41 + 1.92044e41i 0.394050 + 0.257866i
\(415\) 3.56791e41 6.17980e41i 0.460939 0.798371i
\(416\) −1.58332e42 + 9.14128e41i −1.96822 + 1.13635i
\(417\) −1.94147e41 8.14966e41i −0.232249 0.974906i
\(418\) 7.06284e40 1.22332e41i 0.0813128 0.140838i
\(419\) 1.06824e42i 1.18371i 0.806044 + 0.591856i \(0.201605\pi\)
−0.806044 + 0.591856i \(0.798395\pi\)
\(420\) −2.13847e42 9.07450e41i −2.28095 0.967908i
\(421\) −3.30146e41 −0.338995 −0.169497 0.985531i \(-0.554214\pi\)
−0.169497 + 0.985531i \(0.554214\pi\)
\(422\) −8.78791e41 5.07370e41i −0.868733 0.501563i
\(423\) 1.49124e42 + 8.33934e40i 1.41939 + 0.0793754i
\(424\) 2.58749e41 + 4.48167e41i 0.237151 + 0.410758i
\(425\) 4.44062e40 + 2.56380e40i 0.0391941 + 0.0226288i
\(426\) 1.16168e42 + 3.46321e41i 0.987492 + 0.294391i
\(427\) 1.37884e42 6.02591e41i 1.12893 0.493374i
\(428\) 6.23083e41i 0.491412i
\(429\) 8.87689e40 + 9.38717e40i 0.0674441 + 0.0713211i
\(430\) −1.69240e41 2.93133e41i −0.123882 0.214570i
\(431\) 4.51707e41 2.60793e41i 0.318581 0.183933i −0.332179 0.943216i \(-0.607784\pi\)
0.650760 + 0.759284i \(0.274450\pi\)
\(432\) −3.12122e42 + 5.61533e41i −2.12122 + 0.381623i
\(433\) −7.99808e41 −0.523817 −0.261908 0.965093i \(-0.584352\pi\)
−0.261908 + 0.965093i \(0.584352\pi\)
\(434\) 1.24517e42 1.68932e42i 0.785947 1.06629i
\(435\) −1.44954e42 4.32138e41i −0.881866 0.262902i
\(436\) 1.06713e42 1.84832e42i 0.625796 1.08391i
\(437\) −5.48117e41 + 3.16456e41i −0.309864 + 0.178900i
\(438\) 3.16250e42 7.53391e41i 1.72363 0.410615i
\(439\) 6.31745e41 1.09421e42i 0.331978 0.575003i −0.650922 0.759145i \(-0.725617\pi\)
0.982900 + 0.184142i \(0.0589507\pi\)
\(440\) 3.28260e41i 0.166332i
\(441\) −1.42196e42 1.47183e42i −0.694817 0.719187i
\(442\) 2.31998e42 1.09327
\(443\) 1.00698e42 + 5.81381e41i 0.457680 + 0.264241i 0.711068 0.703123i \(-0.248212\pi\)
−0.253388 + 0.967365i \(0.581545\pi\)
\(444\) 1.94142e42 + 8.14946e42i 0.851122 + 3.57274i
\(445\) 2.39418e41 + 4.14684e41i 0.101250 + 0.175371i
\(446\) 4.23261e42 + 2.44370e42i 1.72683 + 0.996989i
\(447\) −1.34391e42 + 4.50794e42i −0.528992 + 1.77442i
\(448\) −1.17467e42 8.65826e41i −0.446135 0.328838i
\(449\) 1.76302e42i 0.646124i 0.946378 + 0.323062i \(0.104712\pi\)
−0.946378 + 0.323062i \(0.895288\pi\)
\(450\) 2.70848e41 + 5.36205e41i 0.0957910 + 0.189640i
\(451\) 1.79969e41 + 3.11715e41i 0.0614289 + 0.106398i
\(452\) 8.35015e42 4.82096e42i 2.75093 1.58825i
\(453\) 3.23222e42 3.05652e42i 1.02785 0.971976i
\(454\) −3.26138e41 −0.100117
\(455\) 2.19016e42 + 5.01147e42i 0.649072 + 1.48519i
\(456\) 3.41428e42 1.14527e43i 0.976927 3.27696i
\(457\) −1.52608e42 + 2.64325e42i −0.421618 + 0.730263i −0.996098 0.0882553i \(-0.971871\pi\)
0.574480 + 0.818518i \(0.305204\pi\)
\(458\) −1.96151e42 + 1.13248e42i −0.523292 + 0.302123i
\(459\) 1.42288e42 + 5.12299e41i 0.366576 + 0.131984i
\(460\) 1.28202e42 2.22053e42i 0.318985 0.552498i
\(461\) 8.06665e42i 1.93856i −0.245969 0.969278i \(-0.579106\pi\)
0.245969 0.969278i \(-0.420894\pi\)
\(462\) −1.96932e41 + 4.64086e41i −0.0457136 + 0.107728i
\(463\) −8.55466e42 −1.91826 −0.959128 0.282971i \(-0.908680\pi\)
−0.959128 + 0.282971i \(0.908680\pi\)
\(464\) −7.50497e42 4.33300e42i −1.62578 0.938643i
\(465\) −3.55635e42 + 8.47218e41i −0.744316 + 0.177316i
\(466\) −1.05139e42 1.82105e42i −0.212612 0.368254i
\(467\) 6.32947e41 + 3.65432e41i 0.123679 + 0.0714063i 0.560563 0.828112i \(-0.310585\pi\)
−0.436884 + 0.899518i \(0.643918\pi\)
\(468\) 1.59446e43 + 1.04341e43i 3.01078 + 1.97026i
\(469\) −4.89076e41 + 4.36481e42i −0.0892506 + 0.796526i
\(470\) 1.55751e43i 2.74704i
\(471\) 1.44575e42 1.36716e42i 0.246467 0.233069i
\(472\) −1.12403e43 1.94688e43i −1.85228 3.20823i
\(473\) −4.45990e40 + 2.57492e40i −0.00710472 + 0.00410191i
\(474\) −5.39325e42 5.70328e42i −0.830611 0.878358i
\(475\) −1.08409e42 −0.161423
\(476\) 2.54158e42 + 5.81561e42i 0.365926 + 0.837305i
\(477\) 7.58126e41 1.15850e42i 0.105547 0.161289i
\(478\) 7.75950e42 1.34398e43i 1.04469 1.80946i
\(479\) −5.31855e42 + 3.07067e42i −0.692509 + 0.399820i −0.804551 0.593883i \(-0.797594\pi\)
0.112043 + 0.993703i \(0.464261\pi\)
\(480\) 2.88002e42 + 1.20894e43i 0.362691 + 1.52246i
\(481\) 9.86162e42 1.70808e43i 1.20123 2.08060i
\(482\) 5.86007e42i 0.690479i
\(483\) 1.80384e42 1.35960e42i 0.205610 0.154974i
\(484\) −2.11812e43 −2.33574
\(485\) 1.46285e43 + 8.44578e42i 1.56075 + 0.901098i
\(486\) 1.06621e43 + 1.41501e43i 1.10069 + 1.46076i
\(487\) 7.60787e42 + 1.31772e43i 0.759976 + 1.31632i 0.942862 + 0.333183i \(0.108123\pi\)
−0.182887 + 0.983134i \(0.558544\pi\)
\(488\) −2.71594e43 1.56805e43i −2.62545 1.51580i
\(489\) 9.77269e42 + 2.91344e42i 0.914265 + 0.272561i
\(490\) −1.44965e43 + 1.56621e43i −1.31258 + 1.41812i
\(491\) 1.64958e43i 1.44567i 0.691020 + 0.722836i \(0.257162\pi\)
−0.691020 + 0.722836i \(0.742838\pi\)
\(492\) 3.64752e43 + 3.85720e43i 3.09426 + 3.27213i
\(493\) 2.06625e42 + 3.57885e42i 0.169680 + 0.293895i
\(494\) −4.24781e43 + 2.45247e43i −3.37702 + 1.94972i
\(495\) 7.83898e41 3.95962e41i 0.0603360 0.0304769i
\(496\) −2.09454e43 −1.56093
\(497\) 4.63231e42 6.28465e42i 0.334269 0.453502i
\(498\) −2.18882e43 6.52533e42i −1.52947 0.455966i
\(499\) 4.30071e42 7.44904e42i 0.291026 0.504071i −0.683027 0.730393i \(-0.739337\pi\)
0.974053 + 0.226322i \(0.0726702\pi\)
\(500\) −2.89396e43 + 1.67083e43i −1.89659 + 1.09500i
\(501\) 2.34356e43 5.58299e42i 1.48756 0.354375i
\(502\) −2.24725e43 + 3.89236e43i −1.38163 + 2.39306i
\(503\) 1.77311e43i 1.05596i −0.849256 0.527981i \(-0.822949\pi\)
0.849256 0.527981i \(-0.177051\pi\)
\(504\) −7.10868e42 + 4.20555e43i −0.410110 + 2.42624i
\(505\) −1.43539e43 −0.802244
\(506\) −4.81893e41 2.78221e41i −0.0260941 0.0150654i
\(507\) −5.97930e42 2.50992e43i −0.313706 1.31684i
\(508\) −1.37606e42 2.38341e42i −0.0699549 0.121165i
\(509\) −3.23048e43 1.86512e43i −1.59141 0.918803i −0.993065 0.117566i \(-0.962491\pi\)
−0.598348 0.801236i \(-0.704176\pi\)
\(510\) 4.50548e42 1.51130e43i 0.215089 0.721485i
\(511\) 2.33156e42 2.08083e43i 0.107873 0.962723i
\(512\) 4.70677e43i 2.11059i
\(513\) −3.14680e43 + 5.66134e42i −1.36770 + 0.246060i
\(514\) 1.64695e43 + 2.85260e43i 0.693859 + 1.20180i
\(515\) −1.24196e43 + 7.17044e42i −0.507213 + 0.292840i
\(516\) −5.51873e42 + 5.21874e42i −0.218496 + 0.206619i
\(517\) −2.36968e42 −0.0909581
\(518\) 7.64838e43 + 8.56999e42i 2.84638 + 0.318936i
\(519\) −1.08576e43 + 3.64201e43i −0.391791 + 1.31421i
\(520\) 5.69918e43 9.87127e43i 1.99416 3.45398i
\(521\) 8.91265e42 5.14572e42i 0.302415 0.174599i −0.341112 0.940023i \(-0.610804\pi\)
0.643527 + 0.765423i \(0.277470\pi\)
\(522\) −2.70322e42 + 4.83391e43i −0.0889515 + 1.59064i
\(523\) 2.24097e43 3.88147e43i 0.715170 1.23871i −0.247724 0.968831i \(-0.579683\pi\)
0.962894 0.269880i \(-0.0869840\pi\)
\(524\) 5.87930e43i 1.81981i
\(525\) 3.84018e42 4.71944e41i 0.115293 0.0141691i
\(526\) 2.51480e43 0.732372
\(527\) 8.64996e42 + 4.99406e42i 0.244368 + 0.141086i
\(528\) 4.89462e42 1.16603e42i 0.134145 0.0319570i
\(529\) −1.75579e43 3.04111e43i −0.466854 0.808615i
\(530\) −1.25035e43 7.21891e42i −0.322566 0.186233i
\(531\) −3.29336e43 + 5.03264e43i −0.824380 + 1.25975i
\(532\) −1.08013e44 7.96146e43i −2.62355 1.93378i
\(533\) 1.24983e44i 2.94589i
\(534\) 1.11359e43 1.05306e43i 0.254722 0.240875i
\(535\) 4.98579e42 + 8.63564e42i 0.110681 + 0.191705i
\(536\) 7.92735e43 4.57686e43i 1.70801 0.986122i
\(537\) 3.58632e42 + 3.79247e42i 0.0749998 + 0.0793111i
\(538\) −2.95026e43 −0.598885
\(539\) 2.38293e42 + 2.20558e42i 0.0469559 + 0.0434613i
\(540\) 9.89358e43 8.36039e43i 1.89258 1.59929i
\(541\) −2.35331e43 + 4.07605e43i −0.437041 + 0.756978i −0.997460 0.0712318i \(-0.977307\pi\)
0.560418 + 0.828210i \(0.310640\pi\)
\(542\) −2.15861e43 + 1.24628e43i −0.389212 + 0.224712i
\(543\) −2.04460e42 8.58259e42i −0.0357941 0.150252i
\(544\) 1.69768e43 2.94046e43i 0.288584 0.499842i
\(545\) 3.41558e43i 0.563794i
\(546\) 1.39794e44 1.05367e44i 2.24082 1.68897i
\(547\) 3.97075e43 0.618124 0.309062 0.951042i \(-0.399985\pi\)
0.309062 + 0.951042i \(0.399985\pi\)
\(548\) 1.10513e44 + 6.38046e43i 1.67080 + 0.964635i
\(549\) −4.68472e42 + 8.37724e43i −0.0687901 + 1.23011i
\(550\) −4.76553e41 8.25413e41i −0.00679685 0.0117725i
\(551\) −7.56647e43 4.36850e43i −1.04826 0.605212i
\(552\) −4.51148e43 1.34496e43i −0.607147 0.181003i
\(553\) −4.63250e43 + 2.02454e43i −0.605639 + 0.264681i
\(554\) 9.03597e42i 0.114767i
\(555\) −9.21176e43 9.74129e43i −1.13672 1.20207i
\(556\) 9.80215e43 + 1.69778e44i 1.17524 + 2.03557i
\(557\) −5.08428e43 + 2.93541e43i −0.592306 + 0.341968i −0.766009 0.642830i \(-0.777760\pi\)
0.173702 + 0.984798i \(0.444427\pi\)
\(558\) 5.27588e43 + 1.04448e44i 0.597239 + 1.18237i
\(559\) 1.78821e43 0.196712
\(560\) 2.11672e44 + 2.37178e43i 2.26285 + 0.253552i
\(561\) −2.29938e42 6.85491e41i −0.0238894 0.00712190i
\(562\) 5.81587e42 1.00734e43i 0.0587264 0.101717i
\(563\) −1.29661e44 + 7.48599e43i −1.27255 + 0.734708i −0.975468 0.220143i \(-0.929348\pi\)
−0.297084 + 0.954851i \(0.596014\pi\)
\(564\) −3.39990e44 + 8.09946e43i −3.24340 + 0.772663i
\(565\) −7.71528e43 + 1.33633e44i −0.715446 + 1.23919i
\(566\) 2.57280e44i 2.31922i
\(567\) 1.09005e44 3.37535e43i 0.955252 0.295794i
\(568\) −1.62715e44 −1.38629
\(569\) −1.16894e44 6.74889e43i −0.968271 0.559032i −0.0695623 0.997578i \(-0.522160\pi\)
−0.898709 + 0.438546i \(0.855494\pi\)
\(570\) 7.72668e43 + 3.24342e44i 0.622294 + 2.61219i
\(571\) 6.24439e41 + 1.08156e42i 0.00489004 + 0.00846979i 0.868460 0.495759i \(-0.165110\pi\)
−0.863570 + 0.504229i \(0.831777\pi\)
\(572\) −2.61823e43 1.51163e43i −0.199375 0.115109i
\(573\) 4.99913e43 1.67688e44i 0.370186 1.24174i
\(574\) 4.46887e44 1.95302e44i 3.21816 1.40643i
\(575\) 4.27046e42i 0.0299081i
\(576\) 7.26277e43 3.66857e43i 0.494701 0.249883i
\(577\) −8.85379e43 1.53352e44i −0.586565 1.01596i −0.994678 0.103029i \(-0.967146\pi\)
0.408113 0.912931i \(-0.366187\pi\)
\(578\) 2.08495e44 1.20375e44i 1.34354 0.775692i
\(579\) −2.28793e42 + 2.16356e42i −0.0143412 + 0.0135616i
\(580\) 3.53953e44 2.15823
\(581\) −8.72813e43 + 1.18414e44i −0.517730 + 0.702403i
\(582\) 1.54465e44 5.18128e44i 0.891376 2.98999i
\(583\) −1.09833e42 + 1.90236e42i −0.00616644 + 0.0106806i
\(584\) −3.77919e44 + 2.18191e44i −2.06439 + 1.19188i
\(585\) −3.04476e44 1.70269e43i −1.61830 0.0904987i
\(586\) −7.89806e43 + 1.36798e44i −0.408468 + 0.707488i
\(587\) 1.43888e44i 0.724126i −0.932154 0.362063i \(-0.882072\pi\)
0.932154 0.362063i \(-0.117928\pi\)
\(588\) 4.17275e44 + 2.34998e44i 2.04355 + 1.15087i
\(589\) −2.11171e44 −1.00644
\(590\) 5.43163e44 + 3.13595e44i 2.51941 + 1.45458i
\(591\) −3.94048e44 + 9.38726e43i −1.77889 + 0.423779i
\(592\) −3.84062e44 6.65216e44i −1.68754 2.92291i
\(593\) 9.79692e43 + 5.65625e43i 0.419000 + 0.241910i 0.694650 0.719348i \(-0.255559\pi\)
−0.275649 + 0.961258i \(0.588893\pi\)
\(594\) −1.81435e43 2.14708e43i −0.0755332 0.0893851i
\(595\) −8.17606e43 6.02643e43i −0.331339 0.244224i
\(596\) 1.10076e45i 4.34262i
\(597\) 3.12369e44 2.95389e44i 1.19972 1.13450i
\(598\) 9.66084e43 + 1.67331e44i 0.361240 + 0.625686i
\(599\) −2.33181e43 + 1.34627e43i −0.0848915 + 0.0490122i −0.541845 0.840479i \(-0.682274\pi\)
0.456953 + 0.889491i \(0.348941\pi\)
\(600\) −5.54036e43 5.85884e43i −0.196389 0.207679i
\(601\) −1.82212e44 −0.628905 −0.314453 0.949273i \(-0.601821\pi\)
−0.314453 + 0.949273i \(0.601821\pi\)
\(602\) 2.79431e43 + 6.39388e43i 0.0939140 + 0.214892i
\(603\) −2.04921e44 1.34100e44i −0.670670 0.438887i
\(604\) −5.20490e44 + 9.01516e44i −1.65891 + 2.87331i
\(605\) 2.93561e44 1.69488e44i 0.911197 0.526080i
\(606\) 1.06470e44 + 4.46929e44i 0.321860 + 1.35107i
\(607\) −1.16518e44 + 2.01815e44i −0.343064 + 0.594203i −0.985000 0.172554i \(-0.944798\pi\)
0.641936 + 0.766758i \(0.278131\pi\)
\(608\) 7.17852e44i 2.05863i
\(609\) 2.87046e44 + 1.21807e44i 0.801817 + 0.340247i
\(610\) 8.74948e44 2.38070
\(611\) 7.12600e44 + 4.11420e44i 1.88880 + 1.09050i
\(612\) −3.53332e44 1.97590e43i −0.912348 0.0510203i
\(613\) −7.83132e43 1.35642e44i −0.197000 0.341215i 0.750554 0.660809i \(-0.229787\pi\)
−0.947554 + 0.319594i \(0.896453\pi\)
\(614\) −6.41133e44 3.70158e44i −1.57128 0.907180i
\(615\) −8.14176e44 2.42722e44i −1.94409 0.579572i
\(616\) 7.53537e42 6.72502e43i 0.0175313 0.156460i
\(617\) 1.07790e44i 0.244352i −0.992508 0.122176i \(-0.961013\pi\)
0.992508 0.122176i \(-0.0389872\pi\)
\(618\) 3.15385e44 + 3.33515e44i 0.696668 + 0.736715i
\(619\) −8.95825e43 1.55161e44i −0.192829 0.333990i 0.753358 0.657611i \(-0.228433\pi\)
−0.946187 + 0.323621i \(0.895100\pi\)
\(620\) 7.40879e44 4.27746e44i 1.55410 0.897262i
\(621\) 2.23013e43 + 1.23960e44i 0.0455895 + 0.253405i
\(622\) −3.58471e44 −0.714181
\(623\) −3.95300e43 9.04517e43i −0.0767569 0.175634i
\(624\) −1.67433e45 4.99151e44i −3.16875 0.944667i
\(625\) 2.98878e44 5.17673e44i 0.551334 0.954938i
\(626\) −2.60199e44 + 1.50226e44i −0.467860 + 0.270119i
\(627\) 4.93473e43 1.17558e43i 0.0864933 0.0206050i
\(628\) −2.32812e44 + 4.03243e44i −0.397788 + 0.688989i
\(629\) 3.66291e44i 0.610121i
\(630\) −4.14902e44 1.11528e45i −0.673747 1.81108i
\(631\) 8.96681e44 1.41961 0.709804 0.704400i \(-0.248784\pi\)
0.709804 + 0.704400i \(0.248784\pi\)
\(632\) 9.12481e44 + 5.26821e44i 1.40848 + 0.813186i
\(633\) −8.44498e43 3.54494e44i −0.127098 0.533518i
\(634\) 1.10062e45 + 1.90634e45i 1.61514 + 2.79751i
\(635\) 3.81431e43 + 2.20220e43i 0.0545804 + 0.0315120i
\(636\) −9.25605e43 + 3.10480e44i −0.129155 + 0.433232i
\(637\) −3.33654e44 1.07697e45i −0.454010 1.46546i
\(638\) 7.68139e43i 0.101932i
\(639\) 1.96274e44 + 3.88570e44i 0.254010 + 0.502870i
\(640\) 1.95736e44 + 3.39024e44i 0.247053 + 0.427908i
\(641\) −7.73236e44 + 4.46428e44i −0.951884 + 0.549570i −0.893666 0.448734i \(-0.851875\pi\)
−0.0582180 + 0.998304i \(0.518542\pi\)
\(642\) 2.31901e44 2.19295e44i 0.278447 0.263311i
\(643\) 7.15592e44 0.838089 0.419044 0.907966i \(-0.362365\pi\)
0.419044 + 0.907966i \(0.362365\pi\)
\(644\) −3.13620e44 + 4.25487e44i −0.358286 + 0.486086i
\(645\) 3.47277e43 1.16489e44i 0.0387009 0.129816i
\(646\) 4.55462e44 7.88883e44i 0.495144 0.857615i
\(647\) −6.20234e44 + 3.58092e44i −0.657790 + 0.379775i −0.791434 0.611254i \(-0.790665\pi\)
0.133645 + 0.991029i \(0.457332\pi\)
\(648\) −1.91417e45 1.41133e45i −1.98053 1.46025i
\(649\) 4.77122e43 8.26400e43i 0.0481631 0.0834210i
\(650\) 3.30953e44i 0.325951i
\(651\) 7.48034e44 9.19307e43i 0.718829 0.0883415i
\(652\) −2.38632e45 −2.23752
\(653\) −1.33009e45 7.67928e44i −1.21694 0.702602i −0.252680 0.967550i \(-0.581312\pi\)
−0.964263 + 0.264948i \(0.914645\pi\)
\(654\) 1.06349e45 2.53352e44i 0.949490 0.226194i
\(655\) −4.70451e44 8.14844e44i −0.409877 0.709927i
\(656\) −4.21537e45 2.43375e45i −3.58405 2.06926i
\(657\) 9.76913e44 + 6.39293e44i 0.810606 + 0.530461i
\(658\) −3.57534e44 + 3.19085e45i −0.289536 + 2.58400i
\(659\) 2.08263e44i 0.164606i 0.996607 + 0.0823030i \(0.0262275\pi\)
−0.996607 + 0.0823030i \(0.973772\pi\)
\(660\) −1.49319e44 + 1.41202e44i −0.115189 + 0.108928i
\(661\) −4.81690e44 8.34311e44i −0.362697 0.628210i 0.625707 0.780058i \(-0.284811\pi\)
−0.988404 + 0.151849i \(0.951477\pi\)
\(662\) 2.17315e45 1.25467e45i 1.59721 0.922150i
\(663\) 5.72444e44 + 6.05351e44i 0.410692 + 0.434301i
\(664\) 3.06585e45 2.14715
\(665\) 2.13407e45 + 2.39122e44i 1.45902 + 0.163483i
\(666\) −2.34981e45 + 3.59079e45i −1.56836 + 2.39664i
\(667\) −1.72085e44 + 2.98060e44i −0.112132 + 0.194219i
\(668\) −4.88224e45 + 2.81876e45i −3.10596 + 1.79323i
\(669\) 4.06745e44 + 1.70739e45i 0.252641 + 1.06051i
\(670\) −1.27691e45 + 2.21167e45i −0.774395 + 1.34129i
\(671\) 1.33120e44i 0.0788283i
\(672\) −3.12508e44 2.54286e45i −0.180698 1.47033i
\(673\) −1.56485e44 −0.0883552 −0.0441776 0.999024i \(-0.514067\pi\)
−0.0441776 + 0.999024i \(0.514067\pi\)
\(674\) −1.01624e45 5.86726e44i −0.560322 0.323502i
\(675\) −7.30812e43 + 2.02978e44i −0.0393500 + 0.109292i
\(676\) 3.01885e45 + 5.22880e45i 1.58743 + 2.74951i
\(677\) 1.23074e45 + 7.10569e44i 0.632045 + 0.364911i 0.781544 0.623851i \(-0.214433\pi\)
−0.149499 + 0.988762i \(0.547766\pi\)
\(678\) 4.73314e45 + 1.41104e45i 2.37396 + 0.707727i
\(679\) −2.80305e45 2.06608e45i −1.37314 1.01212i
\(680\) 2.11685e45i 1.01286i
\(681\) −8.04730e43 8.50989e43i −0.0376094 0.0397713i
\(682\) −9.28284e43 1.60784e44i −0.0423771 0.0733993i
\(683\) −2.83916e44 + 1.63919e44i −0.126607 + 0.0730967i −0.561966 0.827160i \(-0.689955\pi\)
0.435359 + 0.900257i \(0.356622\pi\)
\(684\) 6.67828e45 3.37333e45i 2.90915 1.46947i
\(685\) −2.04221e45 −0.869062
\(686\) 3.32941e45 2.87591e45i 1.38415 1.19561i
\(687\) −7.79493e44 2.32382e44i −0.316595 0.0943834i
\(688\) 3.48211e44 6.03119e44i 0.138174 0.239325i
\(689\) 6.60567e44 3.81379e44i 0.256100 0.147859i
\(690\) 1.27766e45 3.04371e44i 0.483981 0.115297i
\(691\) 1.41051e45 2.44308e45i 0.522070 0.904252i −0.477600 0.878577i \(-0.658493\pi\)
0.999670 0.0256748i \(-0.00817345\pi\)
\(692\) 8.89315e45i 3.21631i
\(693\) −1.69686e44 + 6.31256e43i −0.0599672 + 0.0223087i
\(694\) 3.50100e45 1.20904
\(695\) −2.71707e45 1.56870e45i −0.916945 0.529398i
\(696\) −1.50602e45 6.32181e45i −0.496688 2.08494i
\(697\) 1.16057e45 + 2.01016e45i 0.374063 + 0.647897i
\(698\) −3.37915e45 1.95095e45i −1.06444 0.614554i
\(699\) 2.15742e44 7.23674e44i 0.0664201 0.222796i
\(700\) −8.29615e44 + 3.62565e44i −0.249637 + 0.109098i
\(701\) 1.17008e45i 0.344135i 0.985085 + 0.172067i \(0.0550447\pi\)
−0.985085 + 0.172067i \(0.944955\pi\)
\(702\) 1.72831e45 + 9.60664e45i 0.496853 + 2.76171i
\(703\) −3.87210e45 6.70667e45i −1.08808 1.88461i
\(704\) −1.11800e44 + 6.45480e43i −0.0307101 + 0.0177305i
\(705\) 4.06399e45 3.84308e45i 1.09126 1.03194i
\(706\) 6.36557e45 1.67095
\(707\) 2.94066e45 + 3.29500e44i 0.754629 + 0.0845560i
\(708\) 4.02091e45 1.34875e46i 1.00877 3.38377i
\(709\) −8.53729e43 + 1.47870e44i −0.0209402 + 0.0362694i −0.876306 0.481756i \(-0.839999\pi\)
0.855365 + 0.518025i \(0.173333\pi\)
\(710\) 3.93143e45 2.26981e45i 0.942794 0.544322i
\(711\) 1.57393e44 2.81452e45i 0.0369040 0.659919i
\(712\) −1.02864e45 + 1.78166e45i −0.235822 + 0.408455i
\(713\) 8.31849e44i 0.186471i
\(714\) −1.26996e45 + 2.99275e45i −0.278367 + 0.655993i
\(715\) 4.83832e44 0.103705
\(716\) −1.05778e45 6.10710e44i −0.221711 0.128005i
\(717\) 5.42147e45 1.29154e45i 1.11125 0.264729i
\(718\) 8.62271e45 + 1.49350e46i 1.72843 + 2.99373i
\(719\) 3.96559e45 + 2.28954e45i 0.777403 + 0.448834i 0.835509 0.549477i \(-0.185173\pi\)
−0.0581063 + 0.998310i \(0.518506\pi\)
\(720\) −6.50322e45 + 9.93767e45i −1.24683 + 1.90531i
\(721\) 2.70898e45 1.18390e45i 0.507975 0.221999i
\(722\) 9.28618e45i 1.70311i
\(723\) −1.52907e45 + 1.44595e45i −0.274292 + 0.259382i
\(724\) 1.03229e45 + 1.78797e45i 0.181127 + 0.313721i
\(725\) −5.10534e44 + 2.94757e44i −0.0876227 + 0.0505890i
\(726\) −7.45476e45 7.88329e45i −1.25155 1.32349i
\(727\) −6.15338e45 −1.01056 −0.505282 0.862955i \(-0.668611\pi\)
−0.505282 + 0.862955i \(0.668611\pi\)
\(728\) −1.39419e46 + 1.89149e46i −2.23985 + 3.03880i
\(729\) −1.06135e45 + 6.27354e45i −0.166808 + 0.985989i
\(730\) 6.08737e45 1.05436e46i 0.935974 1.62116i
\(731\) −2.87606e44 + 1.66049e44i −0.0432633 + 0.0249781i
\(732\) −4.54996e45 1.90993e46i −0.669623 2.81087i
\(733\) 2.31297e44 4.00617e44i 0.0333047 0.0576855i −0.848893 0.528565i \(-0.822730\pi\)
0.882197 + 0.470880i \(0.156063\pi\)
\(734\) 2.20748e46i 3.11000i
\(735\) −7.66365e45 + 8.19958e43i −1.05642 + 0.0113030i
\(736\) 2.82778e45 0.381418
\(737\) 3.36496e44 + 1.94276e44i 0.0444120 + 0.0256413i
\(738\) −1.51834e45 + 2.71510e46i −0.196095 + 3.50658i
\(739\) −1.19444e45 2.06883e45i −0.150957 0.261465i 0.780623 0.625003i \(-0.214902\pi\)
−0.931579 + 0.363538i \(0.881569\pi\)