Properties

Label 21.33.h.b.11.4
Level $21$
Weight $33$
Character 21.11
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 11.4
Character \(\chi\) \(=\) 21.11
Dual form 21.33.h.b.2.4

$q$-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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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 −0.589714 + 0.807612i \(0.700759\pi\)
−0.994270 + 0.106901i \(0.965907\pi\)
\(3\) −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 −0.882018 0.471215i \(-0.843815\pi\)
−0.0329246 + 0.999458i \(0.510482\pi\)
\(6\) −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 0.527449 0.849587i \(-0.323148\pi\)
−0.472039 + 0.881578i \(0.656482\pi\)
\(12\) 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 0.659128 0.752031i \(-0.270925\pi\)
−0.321714 + 0.946837i \(0.604259\pi\)
\(18\) 2.21770e20 1.24018e19i 1.82617 0.102123i
\(19\) −2.00418e20 3.47134e20i −0.694830 1.20348i −0.970238 0.242153i \(-0.922146\pi\)
0.275408 0.961327i \(-0.411187\pi\)
\(20\) 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 −0.384350 0.923187i \(-0.625575\pi\)
0.607328 + 0.794451i \(0.292241\pi\)
\(24\) −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 \(-0.856568\pi\)
0.900184 0.435511i \(-0.143432\pi\)
\(30\) 6.04375e23 + 5.71521e23i 1.40400 + 1.32768i
\(31\) 2.63413e23 4.56245e23i 0.362119 0.627208i −0.626191 0.779670i \(-0.715387\pi\)
0.988309 + 0.152462i \(0.0487202\pi\)
\(32\) 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 −0.930196 0.367063i \(-0.880364\pi\)
0.147213 0.989105i \(-0.452970\pi\)
\(38\) 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 \(-0.590232\pi\)
0.279690 0.960090i \(-0.409768\pi\)
\(42\) −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 −0.967270 0.253749i \(-0.918336\pi\)
−0.263882 + 0.964555i \(0.585003\pi\)
\(48\) 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 0.414207 0.910183i \(-0.364059\pi\)
−0.581138 + 0.813805i \(0.697392\pi\)
\(54\) −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 0.981056 0.193726i \(-0.0620573\pi\)
0.322756 + 0.946482i \(0.395391\pi\)
\(60\) −6.79989e28 1.61992e28i −2.41036 0.574212i
\(61\) 2.26396e28 + 3.92130e28i 0.616015 + 1.06697i 0.990205 + 0.139618i \(0.0445874\pi\)
−0.374190 + 0.927352i \(0.622079\pi\)
\(62\) 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 −0.593062 0.805157i \(-0.702081\pi\)
0.993817 + 0.111028i \(0.0354143\pi\)
\(68\) 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 \(0.0908953\pi\)
−0.959505 + 0.281691i \(0.909105\pi\)
\(72\) 5.78653e29 1.14558e30i 1.10943 2.19636i
\(73\) −3.15026e29 + 5.45641e29i −0.484374 + 0.838960i −0.999839 0.0179505i \(-0.994286\pi\)
0.515465 + 0.856911i \(0.327619\pi\)
\(74\) 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 0.652130 0.758107i \(-0.273876\pi\)
−0.982605 + 0.185708i \(0.940542\pi\)
\(80\) 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 \(-0.856290\pi\)
0.899803 0.436295i \(-0.143710\pi\)
\(84\) 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 −0.580696 0.814121i \(-0.697219\pi\)
0.414701 + 0.909958i \(0.363886\pi\)
\(90\) −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 0.791369 0.611339i \(-0.209369\pi\)
−0.133751 + 0.991015i \(0.542702\pi\)
\(102\) 2.26704e31 9.51633e31i 0.165142 0.693213i
\(103\) 4.44797e31 + 7.70412e31i 0.277183 + 0.480095i 0.970684 0.240361i \(-0.0772658\pi\)
−0.693500 + 0.720456i \(0.743932\pi\)
\(104\) 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 −0.587976 0.808878i \(-0.700075\pi\)
0.406521 + 0.913642i \(0.366742\pi\)
\(108\) −2.72191e32 7.55992e32i −0.794499 2.20667i
\(109\) −1.05938e32 + 1.83490e32i −0.266825 + 0.462155i −0.968040 0.250795i \(-0.919308\pi\)
0.701215 + 0.712950i \(0.252641\pi\)
\(110\) 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 \(0.236804\pi\)
−0.735804 + 0.677195i \(0.763196\pi\)
\(114\) −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 −0.124852 0.992175i \(-0.539846\pi\)
0.796823 + 0.604213i \(0.206512\pi\)
\(132\) 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 0.811946 0.583733i \(-0.198409\pi\)
−0.0995550 + 0.995032i \(0.531742\pi\)
\(138\) −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 −0.612756 + 0.790272i \(0.709939\pi\)
−0.990774 + 0.135527i \(0.956727\pi\)
\(150\) −1.35754e34 3.23401e33i −0.206676 0.0492358i
\(151\) 5.16711e34 8.94969e34i 0.707321 1.22512i −0.258527 0.966004i \(-0.583237\pi\)
0.965847 0.259111i \(-0.0834296\pi\)
\(152\) 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 −0.768674 0.639641i \(-0.779083\pi\)
0.938282 + 0.345871i \(0.112416\pi\)
\(158\) 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 0.522639 0.852554i \(-0.324948\pi\)
−0.999653 + 0.0263412i \(0.991614\pi\)
\(164\) −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 \(-0.722940\pi\)
0.644514 0.764592i \(-0.277060\pi\)
\(168\) −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 −0.957769 0.287540i \(-0.907163\pi\)
−0.229867 + 0.973222i \(0.573829\pi\)
\(174\) −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 0.451988 0.892024i \(-0.350715\pi\)
−0.546521 + 0.837445i \(0.684048\pi\)
\(180\) 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 0.180197 0.983630i \(-0.442326\pi\)
0.941948 + 0.335760i \(0.108993\pi\)
\(192\) 4.38040e35 1.83875e36i 0.128438 0.539142i
\(193\) −3.65755e34 + 6.33506e34i −0.00986900 + 0.0170936i −0.870918 0.491429i \(-0.836475\pi\)
0.861049 + 0.508522i \(0.169808\pi\)
\(194\) 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 \(0.367286\pi\)
−0.404957 + 0.914336i \(0.632714\pi\)
\(198\) 5.82876e35 + 2.94422e35i 0.104456 + 0.0527628i
\(199\) 4.99362e36 8.64920e36i 0.825594 1.42997i −0.0758712 0.997118i \(-0.524174\pi\)
0.901465 0.432852i \(-0.142493\pi\)
\(200\) 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 0.523515 0.852017i \(-0.324620\pi\)
−0.476111 + 0.879385i \(0.657954\pi\)
\(228\) 4.02787e37 1.69077e38i 0.755297 3.17050i
\(229\) 9.44781e36 + 1.63641e37i 0.165182 + 0.286104i 0.936720 0.350080i \(-0.113845\pi\)
−0.771538 + 0.636184i \(0.780512\pi\)
\(230\) 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 −0.395941 0.918276i \(-0.629582\pi\)
0.597280 + 0.802033i \(0.296248\pi\)
\(234\) −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 \(-0.806489\pi\)
0.820830 0.571172i \(-0.193511\pi\)
\(240\) −1.89563e38 + 2.00460e38i −1.56450 + 1.65443i
\(241\) −2.44440e37 + 4.23383e37i −0.188756 + 0.326935i −0.944836 0.327545i \(-0.893779\pi\)
0.756080 + 0.654479i \(0.227112\pi\)
\(242\) 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 \(0.272554\pi\)
−0.655273 + 0.755392i \(0.727446\pi\)
\(252\) −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 −0.791160 0.611610i \(-0.790522\pi\)
0.134090 + 0.990969i \(0.457189\pi\)
\(258\) 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 0.316491 0.948595i \(-0.397495\pi\)
−0.663262 + 0.748387i \(0.730829\pi\)
\(264\) −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 0.635037 0.772482i \(-0.280985\pi\)
−0.351471 + 0.936199i \(0.614318\pi\)
\(270\) −5.22145e38 1.45022e39i −0.654593 1.81809i
\(271\) 1.03972e38 + 1.80084e38i 0.122859 + 0.212798i 0.920894 0.389813i \(-0.127460\pi\)
−0.798035 + 0.602611i \(0.794127\pi\)
\(272\) 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 −0.849912 0.526924i \(-0.823345\pi\)
0.881286 + 0.472583i \(0.156678\pi\)
\(278\) −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 \(-0.989778\pi\)
0.999484 0.0321080i \(-0.0102221\pi\)
\(282\) 3.02183e39 + 2.85756e39i 1.88923 + 1.78653i
\(283\) −1.07319e39 + 1.85882e39i −0.634005 + 1.09813i 0.352720 + 0.935729i \(0.385257\pi\)
−0.986725 + 0.162400i \(0.948076\pi\)
\(284\) 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 \(0.0716913\pi\)
−0.974744 + 0.223326i \(0.928309\pi\)
\(294\) −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 0.659457 0.751742i \(-0.270786\pi\)
−0.321300 + 0.946978i \(0.604120\pi\)
\(312\) 2.96083e40 + 7.05347e39i 3.67231 + 0.874842i
\(313\) 1.25327e39 + 2.17073e39i 0.147685 + 0.255797i 0.930371 0.366619i \(-0.119485\pi\)
−0.782687 + 0.622416i \(0.786151\pi\)
\(314\) 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 −0.530126 + 0.847919i \(0.677855\pi\)
−0.999382 + 0.0351432i \(0.988811\pi\)
\(318\) −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 −0.999988 0.00482800i \(-0.998463\pi\)
0.495813 0.868429i \(-0.334870\pi\)
\(332\) −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 0.185666 0.982613i \(-0.440556\pi\)
−0.758135 + 0.652098i \(0.773889\pi\)
\(348\) 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 0.0492007 0.998789i \(-0.484333\pi\)
−0.840376 + 0.542004i \(0.817666\pi\)
\(354\) 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 −0.654863 + 0.755748i \(0.727274\pi\)
−0.981928 + 0.189254i \(0.939393\pi\)
\(360\) 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 −0.0308693 0.999523i \(-0.509828\pi\)
0.881047 0.473028i \(-0.156839\pi\)
\(368\) −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 0.912106 0.409955i \(-0.134456\pi\)
−0.811084 + 0.584929i \(0.801122\pi\)
\(374\) −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 −0.0701657 0.997535i \(-0.522353\pi\)
0.828808 + 0.559533i \(0.189019\pi\)
\(384\) −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 −0.463844 0.885917i \(-0.653530\pi\)
−0.999149 + 0.0412579i \(0.986863\pi\)
\(390\) −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 0.641249 0.767333i \(-0.278417\pi\)
−0.985154 + 0.171671i \(0.945083\pi\)
\(398\) 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 0.375123 0.926975i \(-0.377601\pi\)
0.990345 + 0.138622i \(0.0442673\pi\)
\(402\) −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 −0.794706 0.606995i \(-0.792375\pi\)
0.923026 + 0.384738i \(0.125708\pi\)
\(410\) −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 \(-0.798395\pi\)
0.806044 0.591856i \(-0.201605\pi\)
\(420\) −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 0.650760 0.759284i \(-0.274450\pi\)
−0.332179 + 0.943216i \(0.607784\pi\)
\(432\) −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 0.982900 0.184142i \(-0.0589507\pi\)
−0.650922 + 0.759145i \(0.725617\pi\)
\(440\) 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 −0.253388 0.967365i \(-0.581545\pi\)
0.711068 + 0.703123i \(0.248212\pi\)
\(444\) 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 \(-0.895288\pi\)
0.946378 0.323062i \(-0.104712\pi\)
\(450\) 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 0.574480 0.818518i \(-0.305204\pi\)
−0.996098 + 0.0882553i \(0.971871\pi\)
\(458\) −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 \(0.420894\pi\)
−0.245969 + 0.969278i \(0.579106\pi\)
\(462\) −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 −0.436884 0.899518i \(-0.643918\pi\)
0.560563 + 0.828112i \(0.310585\pi\)
\(468\) 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 0.112043 0.993703i \(-0.464261\pi\)
−0.804551 + 0.593883i \(0.797594\pi\)
\(480\) 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 −0.182887 0.983134i \(-0.558544\pi\)
0.942862 0.333183i \(-0.108123\pi\)
\(488\) −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 \(-0.742838\pi\)
0.691020 0.722836i \(-0.257162\pi\)
\(492\) 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 0.974053 0.226322i \(-0.0726702\pi\)
−0.683027 + 0.730393i \(0.739337\pi\)
\(500\) −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 \(0.177051\pi\)
−0.849256 + 0.527981i \(0.822949\pi\)
\(504\) −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 −0.598348 + 0.801236i \(0.704176\pi\)
−0.993065 + 0.117566i \(0.962491\pi\)
\(510\) 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 0.643527 0.765423i \(-0.277470\pi\)
−0.341112 + 0.940023i \(0.610804\pi\)
\(522\) −2.70322e42 4.83391e43i −0.0889515 1.59064i
\(523\) 2.24097e43 + 3.88147e43i 0.715170 + 1.23871i 0.962894 + 0.269880i \(0.0869840\pi\)
−0.247724 + 0.968831i \(0.579683\pi\)
\(524\) 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 0.560418 0.828210i \(-0.310640\pi\)
−0.997460 + 0.0712318i \(0.977307\pi\)
\(542\) −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 0.173702 0.984798i \(-0.444427\pi\)
−0.766009 + 0.642830i \(0.777760\pi\)
\(558\) 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 −0.297084 0.954851i \(-0.596014\pi\)
−0.975468 + 0.220143i \(0.929348\pi\)
\(564\) −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 −0.898709 0.438546i \(-0.855494\pi\)
−0.0695623 + 0.997578i \(0.522160\pi\)
\(570\) 7.72668e43 3.24342e44i 0.622294 2.61219i
\(571\) 6.24439e41 1.08156e42i 0.00489004 0.00846979i −0.863570 0.504229i \(-0.831777\pi\)
0.868460 + 0.495759i \(0.165110\pi\)
\(572\) −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 0.408113 + 0.912931i \(0.366187\pi\)
−0.994678 + 0.103029i \(0.967146\pi\)
\(578\) 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 \(0.117928\pi\)
−0.932154 + 0.362063i \(0.882072\pi\)
\(588\) 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 −0.275649 0.961258i \(-0.588893\pi\)
0.694650 + 0.719348i \(0.255559\pi\)
\(594\) −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 0.456953 0.889491i \(-0.348941\pi\)
−0.541845 + 0.840479i \(0.682274\pi\)
\(600\) −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 0.641936 0.766758i \(-0.278131\pi\)
−0.985000 + 0.172554i \(0.944798\pi\)
\(608\) 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 −0.947554 0.319594i \(-0.896453\pi\)
0.750554 + 0.660809i \(0.229787\pi\)
\(614\) −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 \(0.0389872\pi\)
−0.992508 + 0.122176i \(0.961013\pi\)
\(618\) 3.15385e44 3.33515e44i 0.696668 0.736715i
\(619\) −8.95825e43 + 1.55161e44i −0.192829 + 0.333990i −0.946187 0.323621i \(-0.895100\pi\)
0.753358 + 0.657611i \(0.228433\pi\)
\(620\) 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 −0.0582180 0.998304i \(-0.518542\pi\)
−0.893666 + 0.448734i \(0.851875\pi\)
\(642\) 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 0.133645 0.991029i \(-0.457332\pi\)
−0.791434 + 0.611254i \(0.790665\pi\)
\(648\) −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 −0.964263 0.264948i \(-0.914645\pi\)
−0.252680 + 0.967550i \(0.581312\pi\)
\(654\) 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 \(-0.973772\pi\)
0.996607 0.0823030i \(-0.0262275\pi\)
\(660\) −1.49319e44 1.41202e44i −0.115189 0.108928i
\(661\) −4.81690e44 + 8.34311e44i −0.362697 + 0.628210i −0.988404 0.151849i \(-0.951477\pi\)
0.625707 + 0.780058i \(0.284811\pi\)
\(662\) 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 −0.149499 0.988762i \(-0.547766\pi\)
0.781544 + 0.623851i \(0.214433\pi\)
\(678\) 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 0.435359 0.900257i \(-0.356622\pi\)
−0.561966 + 0.827160i \(0.689955\pi\)
\(684\) 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 0.999670 + 0.0256748i \(0.00817345\pi\)
−0.477600 + 0.878577i \(0.658493\pi\)
\(692\) 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 \(-0.944955\pi\)
0.985085 0.172067i \(-0.0550447\pi\)
\(702\) 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 0.855365 0.518025i \(-0.173333\pi\)
−0.876306 + 0.481756i \(0.839999\pi\)
\(710\) 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 −0.0581063 0.998310i \(-0.518506\pi\)
0.835509 + 0.549477i \(0.185173\pi\)
\(720\) −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 0.882197 0.470880i \(-0.156063\pi\)
−0.848893 + 0.528565i \(0.822730\pi\)
\(734\) 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 −0.931579 0.363538i \(-0.881569\pi\)
0.780623 + 0.625003i \(0.214902\pi\)