Properties

Label 21.33.h.b.2.1
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 2.1
Character \(\chi\) \(=\) 21.2
Dual form 21.33.h.b.11.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-111997. - 64661.2i) q^{2} +(4.13267e7 + 1.20467e7i) q^{3} +(6.21466e9 + 1.07641e10i) q^{4} +(1.71366e11 + 9.89381e10i) q^{5} +(-3.84949e12 - 4.02143e12i) q^{6} +(2.06412e13 + 2.60455e13i) q^{7} -1.05196e15i q^{8} +(1.56277e15 + 9.95702e14i) q^{9} +O(q^{10})\) \(q+(-111997. - 64661.2i) q^{2} +(4.13267e7 + 1.20467e7i) q^{3} +(6.21466e9 + 1.07641e10i) q^{4} +(1.71366e11 + 9.89381e10i) q^{5} +(-3.84949e12 - 4.02143e12i) q^{6} +(2.06412e13 + 2.60455e13i) q^{7} -1.05196e15i q^{8} +(1.56277e15 + 9.95702e14i) q^{9} +(-1.27949e16 - 2.21615e16i) q^{10} +(3.51850e16 - 2.03141e16i) q^{11} +(1.27159e17 + 5.19712e17i) q^{12} +6.93583e17 q^{13} +(-6.27600e17 - 4.25169e18i) q^{14} +(5.89011e18 + 6.15318e18i) q^{15} +(-4.13290e19 + 7.15838e19i) q^{16} +(3.76714e18 - 2.17496e18i) q^{17} +(-1.10642e20 - 2.12566e20i) q^{18} +(-1.55399e20 + 2.69159e20i) q^{19} +2.45947e21i q^{20} +(5.39268e20 + 1.32503e21i) q^{21} -5.25413e21 q^{22} +(8.37655e21 + 4.83620e21i) q^{23} +(1.26726e22 - 4.34739e22i) q^{24} +(7.93597e21 + 1.37455e22i) q^{25} +(-7.76789e22 - 4.48480e22i) q^{26} +(5.25894e22 + 5.99754e22i) q^{27} +(-1.52079e23 + 3.84048e23i) q^{28} -1.11691e22i q^{29} +(-2.61799e23 - 1.07000e24i) q^{30} +(1.03293e23 + 1.78908e23i) q^{31} +(5.34460e24 - 3.08570e24i) q^{32} +(1.69880e24 - 4.15650e23i) q^{33} -5.62543e23 q^{34} +(9.60291e23 + 6.50551e24i) q^{35} +(-1.00574e24 + 2.30098e25i) q^{36} +(7.93567e24 - 1.37450e25i) q^{37} +(3.48083e25 - 2.00966e25i) q^{38} +(2.86635e25 + 8.35540e24i) q^{39} +(1.04079e26 - 1.80269e26i) q^{40} -3.16825e25i q^{41} +(2.52823e25 - 1.83269e26i) q^{42} +1.07349e26 q^{43} +(4.37326e26 + 2.52490e26i) q^{44} +(1.69293e26 + 3.25247e26i) q^{45} +(-6.25429e26 - 1.08328e27i) q^{46} +(1.81600e26 + 1.04847e26i) q^{47} +(-2.57034e27 + 2.46045e27i) q^{48} +(-2.52313e26 + 1.07522e27i) q^{49} -2.05260e27i q^{50} +(1.81885e26 - 4.45023e25i) q^{51} +(4.31039e27 + 7.46581e27i) q^{52} +(-1.86000e27 + 1.07387e27i) q^{53} +(-2.01174e27 - 1.01175e28i) q^{54} +8.03935e27 q^{55} +(2.73988e28 - 2.17136e28i) q^{56} +(-9.66461e27 + 9.25141e27i) q^{57} +(-7.22207e26 + 1.25090e27i) q^{58} +(-9.18536e27 + 5.30317e27i) q^{59} +(-2.96285e28 + 1.01642e29i) q^{60} +(1.31720e28 - 2.28145e28i) q^{61} -2.67161e28i q^{62} +(6.32385e27 + 6.12557e28i) q^{63} -4.43089e29 q^{64} +(1.18857e29 + 6.86219e28i) q^{65} +(-2.17136e29 - 6.32951e28i) q^{66} +(-5.54272e28 - 9.60028e28i) q^{67} +(4.68231e28 + 2.70333e28i) q^{68} +(2.87915e29 + 3.00774e29i) q^{69} +(3.13105e29 - 7.90689e29i) q^{70} -4.36244e29i q^{71} +(1.04743e30 - 1.64397e30i) q^{72} +(3.01181e29 + 5.21661e29i) q^{73} +(-1.77753e30 + 1.02626e30i) q^{74} +(1.62379e29 + 6.63659e29i) q^{75} -3.86301e30 q^{76} +(1.25535e30 + 4.97107e29i) q^{77} +(-2.66994e30 - 2.78919e30i) q^{78} +(8.04074e29 - 1.39270e30i) q^{79} +(-1.41647e31 + 8.17802e30i) q^{80} +(1.45084e30 + 3.11211e30i) q^{81} +(-2.04863e30 + 3.54833e30i) q^{82} -1.70909e30i q^{83} +(-1.09115e31 + 1.40394e31i) q^{84} +8.60746e29 q^{85} +(-1.20227e31 - 6.94130e30i) q^{86} +(1.34551e29 - 4.61582e29i) q^{87} +(-2.13695e31 - 3.70131e31i) q^{88} +(-9.24758e30 - 5.33909e30i) q^{89} +(2.07064e30 - 4.73733e31i) q^{90} +(1.43164e31 + 1.80648e31i) q^{91} +1.20221e32i q^{92} +(2.11349e30 + 8.63802e30i) q^{93} +(-1.35591e31 - 2.34850e31i) q^{94} +(-5.32602e31 + 3.07498e31i) q^{95} +(2.58047e32 - 6.31372e31i) q^{96} -6.41200e31 q^{97} +(9.77833e31 - 1.04106e32i) q^{98} +(7.52130e31 + 3.28748e30i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 164 q + 43046720 q^{3} + 176093659134 q^{4} + 3915256954876 q^{6} - 41868332499126 q^{7} + 1232720974221986 q^{9} + O(q^{10}) \) \( 164 q + 43046720 q^{3} + 176093659134 q^{4} + 3915256954876 q^{6} - 41868332499126 q^{7} + 1232720974221986 q^{9} - 653609167486978 q^{10} - 80283770812252892 q^{12} + 930128021838524592 q^{13} + 295985739739384604 q^{15} - \)\(35\!\cdots\!98\)\( q^{16} - \)\(28\!\cdots\!84\)\( q^{18} - \)\(55\!\cdots\!32\)\( q^{19} - \)\(63\!\cdots\!60\)\( q^{21} - \)\(13\!\cdots\!96\)\( q^{22} + \)\(10\!\cdots\!46\)\( q^{24} + \)\(37\!\cdots\!44\)\( q^{25} - \)\(46\!\cdots\!76\)\( q^{27} + \)\(47\!\cdots\!58\)\( q^{28} - \)\(33\!\cdots\!80\)\( q^{30} + \)\(52\!\cdots\!26\)\( q^{31} - \)\(73\!\cdots\!26\)\( q^{33} - \)\(22\!\cdots\!96\)\( q^{34} - \)\(58\!\cdots\!40\)\( q^{36} - \)\(47\!\cdots\!40\)\( q^{37} + \)\(80\!\cdots\!20\)\( q^{39} - \)\(45\!\cdots\!26\)\( q^{40} + \)\(10\!\cdots\!78\)\( q^{42} - \)\(82\!\cdots\!28\)\( q^{43} + \)\(88\!\cdots\!80\)\( q^{45} + \)\(30\!\cdots\!92\)\( q^{46} - \)\(10\!\cdots\!00\)\( q^{48} + \)\(42\!\cdots\!90\)\( q^{49} + \)\(89\!\cdots\!16\)\( q^{51} + \)\(39\!\cdots\!84\)\( q^{52} + \)\(16\!\cdots\!78\)\( q^{54} + \)\(55\!\cdots\!00\)\( q^{55} - \)\(88\!\cdots\!80\)\( q^{57} + \)\(63\!\cdots\!34\)\( q^{58} + \)\(69\!\cdots\!10\)\( q^{60} - \)\(49\!\cdots\!48\)\( q^{61} + \)\(38\!\cdots\!20\)\( q^{63} - \)\(17\!\cdots\!24\)\( q^{64} + \)\(20\!\cdots\!84\)\( q^{66} + \)\(41\!\cdots\!36\)\( q^{67} - \)\(54\!\cdots\!68\)\( q^{69} - \)\(18\!\cdots\!50\)\( q^{70} + \)\(88\!\cdots\!12\)\( q^{72} + \)\(14\!\cdots\!40\)\( q^{73} - \)\(13\!\cdots\!24\)\( q^{75} - \)\(13\!\cdots\!12\)\( q^{76} - \)\(15\!\cdots\!20\)\( q^{78} + \)\(11\!\cdots\!98\)\( q^{79} + \)\(41\!\cdots\!98\)\( q^{81} - \)\(17\!\cdots\!72\)\( q^{82} + \)\(23\!\cdots\!36\)\( q^{84} - \)\(11\!\cdots\!64\)\( q^{85} + \)\(25\!\cdots\!98\)\( q^{87} - \)\(10\!\cdots\!90\)\( q^{88} - \)\(13\!\cdots\!64\)\( q^{90} + \)\(33\!\cdots\!84\)\( q^{91} - \)\(88\!\cdots\!00\)\( q^{93} - \)\(96\!\cdots\!24\)\( q^{94} + \)\(14\!\cdots\!10\)\( q^{96} - \)\(26\!\cdots\!24\)\( q^{97} - \)\(24\!\cdots\!32\)\( q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −111997. 64661.2i −1.70893 0.986652i −0.935887 0.352300i \(-0.885400\pi\)
−0.773044 0.634352i \(-0.781267\pi\)
\(3\) 4.13267e7 + 1.20467e7i 0.960043 + 0.279852i
\(4\) 6.21466e9 + 1.07641e10i 1.44696 + 2.50622i
\(5\) 1.71366e11 + 9.89381e10i 1.12306 + 0.648401i 0.942181 0.335104i \(-0.108771\pi\)
0.180882 + 0.983505i \(0.442105\pi\)
\(6\) −3.84949e12 4.02143e12i −1.36453 1.42548i
\(7\) 2.06412e13 + 2.60455e13i 0.621105 + 0.783727i
\(8\) 1.05196e15i 3.73730i
\(9\) 1.56277e15 + 9.95702e14i 0.843366 + 0.537340i
\(10\) −1.27949e16 2.21615e16i −1.27949 2.21615i
\(11\) 3.51850e16 2.03141e16i 0.765729 0.442094i −0.0656200 0.997845i \(-0.520903\pi\)
0.831349 + 0.555751i \(0.187569\pi\)
\(12\) 1.27159e17 + 5.19712e17i 0.687779 + 2.81101i
\(13\) 6.93583e17 1.04233 0.521165 0.853456i \(-0.325498\pi\)
0.521165 + 0.853456i \(0.325498\pi\)
\(14\) −6.27600e17 4.25169e18i −0.288161 1.95215i
\(15\) 5.89011e18 + 6.15318e18i 0.896733 + 0.936784i
\(16\) −4.13290e19 + 7.15838e19i −2.24045 + 3.88057i
\(17\) 3.76714e18 2.17496e18i 0.0774157 0.0446960i −0.460792 0.887508i \(-0.652435\pi\)
0.538208 + 0.842812i \(0.319101\pi\)
\(18\) −1.10642e20 2.12566e20i −0.911086 1.75039i
\(19\) −1.55399e20 + 2.69159e20i −0.538754 + 0.933150i 0.460217 + 0.887806i \(0.347771\pi\)
−0.998971 + 0.0453433i \(0.985562\pi\)
\(20\) 2.45947e21i 3.75285i
\(21\) 5.39268e20 + 1.32503e21i 0.376960 + 0.926229i
\(22\) −5.25413e21 −1.74477
\(23\) 8.37655e21 + 4.83620e21i 1.36590 + 0.788604i 0.990402 0.138218i \(-0.0441375\pi\)
0.375500 + 0.926822i \(0.377471\pi\)
\(24\) 1.26726e22 4.34739e22i 1.04589 3.58797i
\(25\) 7.93597e21 + 1.37455e22i 0.340847 + 0.590365i
\(26\) −7.76789e22 4.48480e22i −1.78127 1.02842i
\(27\) 5.25894e22 + 5.99754e22i 0.659292 + 0.751887i
\(28\) −1.52079e23 + 3.84048e23i −1.06547 + 2.69065i
\(29\) 1.11691e22i 0.0446324i −0.999751 0.0223162i \(-0.992896\pi\)
0.999751 0.0223162i \(-0.00710405\pi\)
\(30\) −2.61799e23 1.07000e24i −0.608175 2.48566i
\(31\) 1.03293e23 + 1.78908e23i 0.141998 + 0.245948i 0.928249 0.371960i \(-0.121314\pi\)
−0.786251 + 0.617907i \(0.787981\pi\)
\(32\) 5.34460e24 3.08570e24i 4.42095 2.55243i
\(33\) 1.69880e24 4.15650e23i 0.858853 0.210138i
\(34\) −5.62543e23 −0.176398
\(35\) 9.60291e23 + 6.50551e24i 0.189371 + 1.28290i
\(36\) −1.00574e24 + 2.30098e25i −0.126370 + 2.89117i
\(37\) 7.93567e24 1.37450e25i 0.643215 1.11408i −0.341496 0.939883i \(-0.610934\pi\)
0.984711 0.174197i \(-0.0557331\pi\)
\(38\) 3.48083e25 2.00966e25i 1.84139 1.06313i
\(39\) 2.86635e25 + 8.35540e24i 1.00068 + 0.291698i
\(40\) 1.04079e26 1.80269e26i 2.42327 4.19722i
\(41\) 3.16825e25i 0.496910i −0.968643 0.248455i \(-0.920077\pi\)
0.968643 0.248455i \(-0.0799229\pi\)
\(42\) 2.52823e25 1.83269e26i 0.269667 1.95479i
\(43\) 1.07349e26 0.785781 0.392891 0.919585i \(-0.371475\pi\)
0.392891 + 0.919585i \(0.371475\pi\)
\(44\) 4.37326e26 + 2.52490e26i 2.21596 + 1.27939i
\(45\) 1.69293e26 + 3.25247e26i 0.598741 + 1.15031i
\(46\) −6.25429e26 1.08328e27i −1.55616 2.69534i
\(47\) 1.81600e26 + 1.04847e26i 0.320295 + 0.184922i 0.651524 0.758628i \(-0.274130\pi\)
−0.331229 + 0.943550i \(0.607463\pi\)
\(48\) −2.57034e27 + 2.46045e27i −3.23691 + 3.09852i
\(49\) −2.52313e26 + 1.07522e27i −0.228456 + 0.973554i
\(50\) 2.05260e27i 1.34519i
\(51\) 1.81885e26 4.45023e25i 0.0868307 0.0212451i
\(52\) 4.31039e27 + 7.46581e27i 1.50821 + 2.61230i
\(53\) −1.86000e27 + 1.07387e27i −0.479844 + 0.277038i −0.720351 0.693609i \(-0.756019\pi\)
0.240508 + 0.970647i \(0.422686\pi\)
\(54\) −2.01174e27 1.01175e28i −0.384833 1.93542i
\(55\) 8.03935e27 1.14662
\(56\) 2.73988e28 2.17136e28i 2.92902 2.32126i
\(57\) −9.66461e27 + 9.25141e27i −0.778371 + 0.745092i
\(58\) −7.22207e26 + 1.25090e27i −0.0440366 + 0.0762736i
\(59\) −9.18536e27 + 5.30317e27i −0.426053 + 0.245982i −0.697664 0.716425i \(-0.745777\pi\)
0.271610 + 0.962407i \(0.412444\pi\)
\(60\) −2.96285e28 + 1.01642e29i −1.05024 + 3.60290i
\(61\) 1.31720e28 2.28145e28i 0.358405 0.620775i −0.629290 0.777171i \(-0.716654\pi\)
0.987695 + 0.156396i \(0.0499875\pi\)
\(62\) 2.67161e28i 0.560410i
\(63\) 6.32385e27 + 6.12557e28i 0.102691 + 0.994713i
\(64\) −4.43089e29 −5.59256
\(65\) 1.18857e29 + 6.86219e28i 1.17060 + 0.675848i
\(66\) −2.17136e29 6.32951e28i −1.67506 0.488278i
\(67\) −5.54272e28 9.60028e28i −0.336145 0.582220i 0.647559 0.762015i \(-0.275790\pi\)
−0.983704 + 0.179795i \(0.942456\pi\)
\(68\) 4.68231e28 + 2.70333e28i 0.224036 + 0.129347i
\(69\) 2.87915e29 + 3.00774e29i 1.09063 + 1.13934i
\(70\) 3.13105e29 7.90689e29i 0.942154 2.37923i
\(71\) 4.36244e29i 1.04615i −0.852285 0.523077i \(-0.824784\pi\)
0.852285 0.523077i \(-0.175216\pi\)
\(72\) 1.04743e30 1.64397e30i 2.00820 3.15191i
\(73\) 3.01181e29 + 5.21661e29i 0.463086 + 0.802089i 0.999113 0.0421121i \(-0.0134087\pi\)
−0.536027 + 0.844201i \(0.680075\pi\)
\(74\) −1.77753e30 + 1.02626e30i −2.19842 + 1.26926i
\(75\) 1.62379e29 + 6.63659e29i 0.162013 + 0.662163i
\(76\) −3.86301e30 −3.11823
\(77\) 1.25535e30 + 4.97107e29i 0.822079 + 0.325536i
\(78\) −2.66994e30 2.78919e30i −1.42229 1.48582i
\(79\) 8.04074e29 1.39270e30i 0.349352 0.605095i −0.636783 0.771043i \(-0.719735\pi\)
0.986134 + 0.165948i \(0.0530685\pi\)
\(80\) −1.41647e31 + 8.17802e30i −5.03233 + 2.90542i
\(81\) 1.45084e30 + 3.11211e30i 0.422531 + 0.906348i
\(82\) −2.04863e30 + 3.54833e30i −0.490278 + 0.849186i
\(83\) 1.70909e30i 0.336912i −0.985709 0.168456i \(-0.946122\pi\)
0.985709 0.168456i \(-0.0538780\pi\)
\(84\) −1.09115e31 + 1.40394e31i −1.77588 + 2.28496i
\(85\) 8.60746e29 0.115924
\(86\) −1.20227e31 6.94130e30i −1.34285 0.775293i
\(87\) 1.34551e29 4.61582e29i 0.0124905 0.0428490i
\(88\) −2.13695e31 3.70131e31i −1.65224 2.86176i
\(89\) −9.24758e30 5.33909e30i −0.596744 0.344530i 0.171016 0.985268i \(-0.445295\pi\)
−0.767760 + 0.640738i \(0.778629\pi\)
\(90\) 2.07064e30 4.73733e31i 0.111744 2.55654i
\(91\) 1.43164e31 + 1.80648e31i 0.647397 + 0.816902i
\(92\) 1.20221e32i 4.56433i
\(93\) 2.11349e30 + 8.63802e30i 0.0674952 + 0.275859i
\(94\) −1.35591e31 2.34850e31i −0.364908 0.632040i
\(95\) −5.32602e31 + 3.07498e31i −1.21011 + 0.698657i
\(96\) 2.58047e32 6.31372e31i 4.95860 1.21324i
\(97\) −6.41200e31 −1.04387 −0.521934 0.852986i \(-0.674789\pi\)
−0.521934 + 0.852986i \(0.674789\pi\)
\(98\) 9.77833e31 1.04106e32i 1.35098 1.43833i
\(99\) 7.52130e31 + 3.28748e30i 0.883344 + 0.0386101i
\(100\) −9.86388e31 + 1.70847e32i −0.986388 + 1.70847i
\(101\) 1.51016e32 8.71893e31i 1.28790 0.743569i 0.309620 0.950860i \(-0.399798\pi\)
0.978279 + 0.207292i \(0.0664649\pi\)
\(102\) −2.32480e31 6.77679e30i −0.169349 0.0493652i
\(103\) 5.32243e31 9.21873e31i 0.331677 0.574481i −0.651164 0.758937i \(-0.725719\pi\)
0.982841 + 0.184456i \(0.0590524\pi\)
\(104\) 7.29619e32i 3.89550i
\(105\) −3.86844e31 + 2.80420e32i −0.177218 + 1.28464i
\(106\) 2.77752e32 1.09336
\(107\) 3.29407e32 + 1.90183e32i 1.11581 + 0.644216i 0.940329 0.340266i \(-0.110517\pi\)
0.175486 + 0.984482i \(0.443850\pi\)
\(108\) −3.18757e32 + 9.38805e32i −0.930420 + 2.74028i
\(109\) 2.27031e32 + 3.93229e32i 0.571822 + 0.990425i 0.996379 + 0.0850236i \(0.0270966\pi\)
−0.424557 + 0.905401i \(0.639570\pi\)
\(110\) −9.00379e32 5.19834e32i −1.95949 1.13131i
\(111\) 4.93537e32 4.72436e32i 0.929292 0.889561i
\(112\) −2.71752e33 + 4.01138e32i −4.43286 + 0.654343i
\(113\) 4.21937e32i 0.597024i 0.954406 + 0.298512i \(0.0964904\pi\)
−0.954406 + 0.298512i \(0.903510\pi\)
\(114\) 1.68061e33 4.11200e32i 2.06533 0.505330i
\(115\) 9.56969e32 + 1.65752e33i 1.02266 + 1.77130i
\(116\) 1.20225e32 6.94121e31i 0.111858 0.0645814i
\(117\) 1.08391e33 + 6.90602e32i 0.879065 + 0.560085i
\(118\) 1.37164e33 0.970795
\(119\) 1.34406e32 + 5.32236e31i 0.0831128 + 0.0329119i
\(120\) 6.47287e33 6.19613e33i 3.50104 3.35136i
\(121\) −2.30365e32 + 3.99003e32i −0.109106 + 0.188978i
\(122\) −2.95043e33 + 1.70343e33i −1.22498 + 0.707241i
\(123\) 3.81670e32 1.30933e33i 0.139061 0.477055i
\(124\) −1.28386e33 + 2.22371e33i −0.410932 + 0.711755i
\(125\) 1.46648e33i 0.412779i
\(126\) 3.25262e33 7.26934e33i 0.805944 1.80122i
\(127\) −6.06110e33 −1.32340 −0.661702 0.749767i \(-0.730165\pi\)
−0.661702 + 0.749767i \(0.730165\pi\)
\(128\) 2.66695e34 + 1.53977e34i 5.13636 + 2.96548i
\(129\) 4.43637e33 + 1.29320e33i 0.754384 + 0.219902i
\(130\) −8.87435e33 1.53708e34i −1.33365 2.30995i
\(131\) −1.23451e34 7.12746e33i −1.64118 0.947533i −0.980417 0.196934i \(-0.936901\pi\)
−0.660758 0.750599i \(-0.729765\pi\)
\(132\) 1.50316e34 + 1.57029e34i 1.76938 + 1.84841i
\(133\) −1.02180e34 + 1.50830e33i −1.06596 + 0.157348i
\(134\) 1.43360e34i 1.32663i
\(135\) 3.07817e33 + 1.54808e34i 0.252902 + 1.27190i
\(136\) −2.28796e33 3.96287e33i −0.167042 0.289326i
\(137\) 8.38422e33 4.84063e33i 0.544419 0.314321i −0.202449 0.979293i \(-0.564890\pi\)
0.746868 + 0.664972i \(0.231557\pi\)
\(138\) −1.27970e34 5.23026e34i −0.739680 3.02314i
\(139\) −3.12580e33 −0.160962 −0.0804811 0.996756i \(-0.525646\pi\)
−0.0804811 + 0.996756i \(0.525646\pi\)
\(140\) −6.40582e34 + 5.07663e34i −2.94121 + 2.33092i
\(141\) 6.24187e33 + 6.52066e33i 0.255746 + 0.267169i
\(142\) −2.82081e34 + 4.88578e34i −1.03219 + 1.78781i
\(143\) 2.44038e34 1.40895e34i 0.798142 0.460807i
\(144\) −1.35864e35 + 7.07180e34i −3.97470 + 2.06886i
\(145\) 1.10505e33 1.91400e33i 0.0289397 0.0501250i
\(146\) 7.78989e34i 1.82762i
\(147\) −2.33802e34 + 4.13958e34i −0.491779 + 0.870720i
\(148\) 1.97270e35 3.72284
\(149\) −4.96033e34 2.86385e34i −0.840485 0.485254i 0.0169440 0.999856i \(-0.494606\pi\)
−0.857429 + 0.514602i \(0.827940\pi\)
\(150\) 2.47271e34 8.48272e34i 0.376455 1.29144i
\(151\) −5.62292e34 9.73918e34i −0.769716 1.33319i −0.937717 0.347401i \(-0.887064\pi\)
0.168000 0.985787i \(-0.446269\pi\)
\(152\) 2.83143e35 + 1.63473e35i 3.48746 + 2.01348i
\(153\) 8.05280e33 + 3.51980e32i 0.0893067 + 0.00390351i
\(154\) −1.08451e35 1.36847e35i −1.08369 1.36742i
\(155\) 4.08783e34i 0.368286i
\(156\) 8.81957e34 + 3.60463e35i 0.716892 + 2.93000i
\(157\) −3.08509e34 5.34354e34i −0.226399 0.392134i 0.730339 0.683084i \(-0.239362\pi\)
−0.956738 + 0.290950i \(0.906029\pi\)
\(158\) −1.80107e35 + 1.03985e35i −1.19404 + 0.689377i
\(159\) −8.98045e34 + 2.19727e34i −0.538200 + 0.131683i
\(160\) 1.22118e36 6.62000
\(161\) 4.69401e34 + 3.17996e35i 0.230319 + 1.56030i
\(162\) 3.87441e34 4.42359e35i 0.172173 1.96578i
\(163\) 1.49803e35 2.59467e35i 0.603280 1.04491i −0.389041 0.921221i \(-0.627193\pi\)
0.992321 0.123691i \(-0.0394732\pi\)
\(164\) 3.41034e35 1.96896e35i 1.24536 0.719011i
\(165\) 3.32240e35 + 9.68477e34i 1.10080 + 0.320883i
\(166\) −1.10512e35 + 1.91412e35i −0.332414 + 0.575759i
\(167\) 4.11172e35i 1.12347i −0.827319 0.561733i \(-0.810135\pi\)
0.827319 0.561733i \(-0.189865\pi\)
\(168\) 1.39388e36 5.67286e35i 3.46159 1.40881i
\(169\) 3.82788e34 0.0864512
\(170\) −9.64006e34 5.56569e34i −0.198106 0.114376i
\(171\) −5.10856e35 + 2.65903e35i −0.955785 + 0.497492i
\(172\) 6.67136e35 + 1.15551e36i 1.13700 + 1.96934i
\(173\) −2.65116e35 1.53065e35i −0.411811 0.237759i 0.279756 0.960071i \(-0.409746\pi\)
−0.691568 + 0.722312i \(0.743080\pi\)
\(174\) −4.49157e34 + 4.29953e34i −0.0636224 + 0.0609023i
\(175\) −1.94202e35 + 4.90420e35i −0.250983 + 0.633810i
\(176\) 3.35824e36i 3.96195i
\(177\) −4.43487e35 + 1.08509e35i −0.477868 + 0.116921i
\(178\) 6.90465e35 + 1.19592e36i 0.679863 + 1.17756i
\(179\) −4.47026e34 + 2.58091e34i −0.0402425 + 0.0232340i −0.519986 0.854175i \(-0.674063\pi\)
0.479744 + 0.877409i \(0.340730\pi\)
\(180\) −2.44890e36 + 3.84359e36i −2.01656 + 3.16503i
\(181\) −2.14846e36 −1.61909 −0.809544 0.587059i \(-0.800286\pi\)
−0.809544 + 0.587059i \(0.800286\pi\)
\(182\) −4.35293e35 2.94890e36i −0.300358 2.03478i
\(183\) 8.19195e35 7.84171e35i 0.517809 0.495671i
\(184\) 5.08747e36 8.81175e36i 2.94725 5.10478i
\(185\) 2.71981e36 1.57028e36i 1.44474 0.834122i
\(186\) 3.21841e35 1.10409e36i 0.156832 0.538018i
\(187\) 8.83647e34 1.53052e35i 0.0395196 0.0684500i
\(188\) 2.60635e36i 1.07030i
\(189\) −4.76586e35 + 2.60768e36i −0.179785 + 0.983706i
\(190\) 7.95327e36 2.75733
\(191\) −9.25681e35 5.34442e35i −0.295072 0.170360i 0.345155 0.938546i \(-0.387826\pi\)
−0.640227 + 0.768186i \(0.721160\pi\)
\(192\) −1.83114e37 5.33776e36i −5.36910 1.56509i
\(193\) −1.71263e35 2.96635e35i −0.0462110 0.0800398i 0.841995 0.539486i \(-0.181381\pi\)
−0.888206 + 0.459446i \(0.848048\pi\)
\(194\) 7.18121e36 + 4.14608e36i 1.78390 + 1.02993i
\(195\) 4.08528e36 + 4.26775e36i 0.934691 + 0.976438i
\(196\) −1.31418e37 + 3.96620e36i −2.77050 + 0.836138i
\(197\) 7.21553e36i 1.40220i 0.713065 + 0.701098i \(0.247307\pi\)
−0.713065 + 0.701098i \(0.752693\pi\)
\(198\) −8.21102e36 5.23155e36i −1.47148 0.937535i
\(199\) −2.14622e36 3.71736e36i −0.354833 0.614589i 0.632256 0.774759i \(-0.282129\pi\)
−0.987089 + 0.160170i \(0.948796\pi\)
\(200\) 1.44597e37 8.34829e36i 2.20637 1.27385i
\(201\) −1.13411e36 4.63520e36i −0.159778 0.653027i
\(202\) −2.25511e37 −2.93457
\(203\) 2.90905e35 2.30543e35i 0.0349796 0.0277214i
\(204\) 1.60938e36 + 1.68126e36i 0.178886 + 0.186876i
\(205\) 3.13461e36 5.42930e36i 0.322197 0.558062i
\(206\) −1.19219e37 + 6.88310e36i −1.13362 + 0.654499i
\(207\) 8.27523e36 + 1.58984e37i 0.728207 + 1.39904i
\(208\) −2.86651e37 + 4.96494e37i −2.33528 + 4.04483i
\(209\) 1.26272e37i 0.952719i
\(210\) 2.24648e37 2.89047e37i 1.57034 2.02050i
\(211\) 2.07452e36 0.134399 0.0671997 0.997740i \(-0.478594\pi\)
0.0671997 + 0.997740i \(0.478594\pi\)
\(212\) −2.31186e37 1.33475e37i −1.38863 0.801728i
\(213\) 5.25530e36 1.80285e37i 0.292768 1.00435i
\(214\) −2.45949e37 4.25997e37i −1.27123 2.20184i
\(215\) 1.83959e37 + 1.06209e37i 0.882482 + 0.509501i
\(216\) 6.30914e37 5.53217e37i 2.81003 2.46397i
\(217\) −2.52768e36 + 6.38318e36i −0.104560 + 0.264047i
\(218\) 5.87204e37i 2.25676i
\(219\) 6.16252e36 + 2.51868e37i 0.220117 + 0.899636i
\(220\) 4.99619e37 + 8.65365e37i 1.65911 + 2.87367i
\(221\) 2.61283e36 1.50852e36i 0.0806927 0.0465880i
\(222\) −8.58227e37 + 2.09985e37i −2.46578 + 0.603310i
\(223\) −6.19200e37 −1.65559 −0.827795 0.561030i \(-0.810405\pi\)
−0.827795 + 0.561030i \(0.810405\pi\)
\(224\) 1.90687e38 + 7.55104e37i 4.74629 + 1.87948i
\(225\) −1.28430e36 + 2.93830e37i −0.0297678 + 0.681045i
\(226\) 2.72829e37 4.72554e37i 0.589055 1.02027i
\(227\) 5.27692e36 3.04663e36i 0.106161 0.0612923i −0.445979 0.895043i \(-0.647144\pi\)
0.552141 + 0.833751i \(0.313811\pi\)
\(228\) −1.59646e38 4.65366e37i −2.99364 0.872644i
\(229\) 1.36783e37 2.36916e37i 0.239147 0.414215i −0.721323 0.692599i \(-0.756465\pi\)
0.960470 + 0.278384i \(0.0897988\pi\)
\(230\) 2.47515e38i 4.03605i
\(231\) 4.58910e37 + 3.56667e37i 0.698130 + 0.542589i
\(232\) −1.17494e37 −0.166804
\(233\) 1.05588e38 + 6.09614e37i 1.39933 + 0.807905i 0.994323 0.106407i \(-0.0339346\pi\)
0.405010 + 0.914312i \(0.367268\pi\)
\(234\) −7.67394e37 1.47432e38i −0.949652 1.82448i
\(235\) 2.07467e37 + 3.59343e37i 0.239808 + 0.415359i
\(236\) −1.14168e38 6.59149e37i −1.23297 0.711855i
\(237\) 5.00072e37 4.78692e37i 0.504730 0.483150i
\(238\) −1.16115e37 1.46517e37i −0.109561 0.138248i
\(239\) 3.17341e37i 0.280001i 0.990151 + 0.140001i \(0.0447105\pi\)
−0.990151 + 0.140001i \(0.955290\pi\)
\(240\) −6.83900e38 + 1.67332e38i −5.64434 + 1.38102i
\(241\) −3.21159e37 5.56264e37i −0.247998 0.429544i 0.714973 0.699153i \(-0.246439\pi\)
−0.962970 + 0.269608i \(0.913106\pi\)
\(242\) 5.16001e37 2.97913e37i 0.372910 0.215300i
\(243\) 2.24677e37 + 1.46091e38i 0.152005 + 0.988380i
\(244\) 3.27438e38 2.07440
\(245\) −1.49618e38 + 1.59293e38i −0.887824 + 0.945232i
\(246\) −1.27409e38 + 1.21962e38i −0.708334 + 0.678050i
\(247\) −1.07782e38 + 1.86684e38i −0.561559 + 0.972649i
\(248\) 1.88203e38 1.08659e38i 0.919179 0.530688i
\(249\) 2.05889e37 7.06311e37i 0.0942854 0.323450i
\(250\) −9.48247e37 + 1.64241e38i −0.407269 + 0.705410i
\(251\) 1.07356e37i 0.0432562i −0.999766 0.0216281i \(-0.993115\pi\)
0.999766 0.0216281i \(-0.00688497\pi\)
\(252\) −6.20063e38 + 4.48754e38i −2.34438 + 1.69668i
\(253\) 3.92972e38 1.39455
\(254\) 6.78823e38 + 3.91918e38i 2.26161 + 1.30574i
\(255\) 3.55718e37 + 1.03692e37i 0.111292 + 0.0324415i
\(256\) −1.03974e39 1.80088e39i −3.05551 5.29230i
\(257\) −3.51592e38 2.02992e38i −0.970754 0.560465i −0.0712877 0.997456i \(-0.522711\pi\)
−0.899466 + 0.436991i \(0.856044\pi\)
\(258\) −4.13238e38 4.31695e38i −1.07222 1.12011i
\(259\) 5.21797e38 7.70234e37i 1.27264 0.187857i
\(260\) 1.70585e39i 3.91171i
\(261\) 1.11211e37 1.74548e37i 0.0239828 0.0376414i
\(262\) 9.21741e38 + 1.59650e39i 1.86977 + 3.23854i
\(263\) 5.90322e38 3.40823e38i 1.12667 0.650484i 0.183576 0.983006i \(-0.441233\pi\)
0.943096 + 0.332522i \(0.107899\pi\)
\(264\) −4.37246e38 1.78706e39i −0.785349 3.20979i
\(265\) −4.24988e38 −0.718527
\(266\) 1.24191e39 + 4.91785e38i 1.97690 + 0.782832i
\(267\) −3.17854e38 3.32050e38i −0.476483 0.497764i
\(268\) 6.88923e38 1.19325e39i 0.972779 1.68490i
\(269\) −1.13559e37 + 6.55631e36i −0.0151072 + 0.00872213i −0.507535 0.861631i \(-0.669443\pi\)
0.492427 + 0.870354i \(0.336110\pi\)
\(270\) 6.56265e38 1.93284e39i 0.822733 2.42312i
\(271\) −3.58663e38 + 6.21223e38i −0.423817 + 0.734072i −0.996309 0.0858378i \(-0.972643\pi\)
0.572492 + 0.819910i \(0.305977\pi\)
\(272\) 3.59555e38i 0.400556i
\(273\) 3.74027e38 + 9.19022e38i 0.392917 + 0.965436i
\(274\) −1.25200e39 −1.24050
\(275\) 5.58455e38 + 3.22424e38i 0.521993 + 0.301373i
\(276\) −1.44827e39 + 4.96836e39i −1.27734 + 4.38195i
\(277\) 1.45611e38 + 2.52205e38i 0.121204 + 0.209931i 0.920243 0.391348i \(-0.127991\pi\)
−0.799039 + 0.601279i \(0.794658\pi\)
\(278\) 3.50078e38 + 2.02118e38i 0.275073 + 0.158814i
\(279\) −1.67161e37 + 3.82441e38i −0.0124013 + 0.283725i
\(280\) 6.84351e39 1.01018e39i 4.79458 0.707737i
\(281\) 3.11012e38i 0.205815i −0.994691 0.102907i \(-0.967185\pi\)
0.994691 0.102907i \(-0.0328145\pi\)
\(282\) −2.77434e38 1.13390e39i −0.173450 0.708906i
\(283\) −1.10634e38 1.91624e38i −0.0653593 0.113206i 0.831494 0.555534i \(-0.187486\pi\)
−0.896853 + 0.442328i \(0.854153\pi\)
\(284\) 4.69578e39 2.71111e39i 2.62189 1.51375i
\(285\) −2.57150e39 + 6.29177e38i −1.35728 + 0.332089i
\(286\) −3.64418e39 −1.81863
\(287\) 8.25189e38 6.53964e38i 0.389442 0.308634i
\(288\) 1.14248e40 + 4.99368e38i 5.10000 + 0.222916i
\(289\) −1.17449e39 + 2.03428e39i −0.496005 + 0.859105i
\(290\) −2.47523e38 + 1.42908e38i −0.0989118 + 0.0571068i
\(291\) −2.64987e39 7.72435e38i −1.00216 0.292129i
\(292\) −3.74348e39 + 6.48389e39i −1.34014 + 2.32119i
\(293\) 2.92127e39i 0.990123i −0.868858 0.495062i \(-0.835145\pi\)
0.868858 0.495062i \(-0.164855\pi\)
\(294\) 5.29520e39 3.12439e39i 1.69951 1.00279i
\(295\) −2.09874e39 −0.637980
\(296\) −1.44591e40 8.34797e39i −4.16365 2.40388i
\(297\) 3.06870e39 + 1.04193e39i 0.837243 + 0.284273i
\(298\) 3.70360e39 + 6.41482e39i 0.957554 + 1.65853i
\(299\) 5.80983e39 + 3.35431e39i 1.42372 + 0.821985i
\(300\) −6.13457e39 + 5.87229e39i −1.42510 + 1.36417i
\(301\) 2.21580e39 + 2.79596e39i 0.488053 + 0.615838i
\(302\) 1.45434e40i 3.03777i
\(303\) 7.29135e39 1.78400e39i 1.44453 0.353437i
\(304\) −1.28450e40 2.22481e40i −2.41410 4.18134i
\(305\) 4.51446e39 2.60642e39i 0.805022 0.464780i
\(306\) −8.79127e38 5.60125e38i −0.148768 0.0947855i
\(307\) −7.20635e39 −1.15745 −0.578724 0.815523i \(-0.696449\pi\)
−0.578724 + 0.815523i \(0.696449\pi\)
\(308\) 2.45067e39 + 1.66021e40i 0.373657 + 2.53135i
\(309\) 3.31014e39 3.16862e39i 0.479193 0.458706i
\(310\) 2.64324e39 4.57823e39i 0.363371 0.629376i
\(311\) 3.12101e39 1.80192e39i 0.407501 0.235271i −0.282214 0.959351i \(-0.591069\pi\)
0.689715 + 0.724080i \(0.257736\pi\)
\(312\) 8.78951e39 3.01528e40i 1.09016 3.73984i
\(313\) −2.03601e39 + 3.52648e39i −0.239923 + 0.415558i −0.960692 0.277617i \(-0.910455\pi\)
0.720769 + 0.693175i \(0.243789\pi\)
\(314\) 7.97944e39i 0.893507i
\(315\) −4.97684e39 + 1.11228e40i −0.529644 + 1.18371i
\(316\) 1.99882e40 2.02200
\(317\) −2.87238e38 1.65837e38i −0.0276245 0.0159490i 0.486124 0.873890i \(-0.338410\pi\)
−0.513749 + 0.857941i \(0.671744\pi\)
\(318\) 1.14786e40 + 3.34600e39i 1.04967 + 0.305979i
\(319\) −2.26890e38 3.92985e38i −0.0197317 0.0341763i
\(320\) −7.59303e40 4.38384e40i −6.28080 3.62622i
\(321\) 1.13222e40 + 1.18279e40i 0.890945 + 0.930738i
\(322\) 1.53049e40 3.86497e40i 1.14587 2.89369i
\(323\) 1.35195e39i 0.0963206i
\(324\) −2.44827e40 + 3.49577e40i −1.66012 + 2.37041i
\(325\) 5.50426e39 + 9.53366e39i 0.355275 + 0.615355i
\(326\) −3.35548e40 + 1.93729e40i −2.06193 + 1.19046i
\(327\) 4.64532e39 + 1.89858e40i 0.271801 + 1.11088i
\(328\) −3.33286e40 −1.85710
\(329\) 1.01764e39 + 6.89403e39i 0.0540083 + 0.365880i
\(330\) −3.09474e40 3.23297e40i −1.56459 1.63447i
\(331\) −1.55453e40 + 2.69252e40i −0.748774 + 1.29691i 0.199636 + 0.979870i \(0.436024\pi\)
−0.948411 + 0.317045i \(0.897309\pi\)
\(332\) 1.83969e40 1.06214e40i 0.844373 0.487499i
\(333\) 2.60876e40 1.35787e40i 1.14111 0.593952i
\(334\) −2.65869e40 + 4.60498e40i −1.10847 + 1.91992i
\(335\) 2.19355e40i 0.871826i
\(336\) −1.17138e41 1.61594e40i −4.43886 0.612348i
\(337\) 1.28890e40 0.465736 0.232868 0.972508i \(-0.425189\pi\)
0.232868 + 0.972508i \(0.425189\pi\)
\(338\) −4.28709e39 2.47515e39i −0.147739 0.0852972i
\(339\) −5.08295e39 + 1.74373e40i −0.167078 + 0.573169i
\(340\) 5.34925e39 + 9.26517e39i 0.167737 + 0.290530i
\(341\) 7.26871e39 + 4.19659e39i 0.217464 + 0.125553i
\(342\) 7.44077e40 + 3.25228e39i 2.12422 + 0.0928476i
\(343\) −3.32127e40 + 1.56221e40i −0.904896 + 0.425632i
\(344\) 1.12926e41i 2.93670i
\(345\) 1.95807e40 + 8.00282e40i 0.486098 + 1.98672i
\(346\) 1.97947e40 + 3.42854e40i 0.469171 + 0.812629i
\(347\) 5.03915e40 2.90936e40i 1.14048 0.658454i 0.193927 0.981016i \(-0.437878\pi\)
0.946548 + 0.322562i \(0.104544\pi\)
\(348\) 5.80471e39 1.42026e39i 0.125462 0.0306972i
\(349\) 5.86150e40 1.21005 0.605023 0.796208i \(-0.293164\pi\)
0.605023 + 0.796208i \(0.293164\pi\)
\(350\) 5.34611e40 4.23680e40i 1.05426 0.835506i
\(351\) 3.64751e40 + 4.15979e40i 0.687199 + 0.783714i
\(352\) 1.25367e41 2.17141e41i 2.25683 3.90895i
\(353\) −2.75790e40 + 1.59227e40i −0.474442 + 0.273919i −0.718097 0.695943i \(-0.754987\pi\)
0.243656 + 0.969862i \(0.421653\pi\)
\(354\) 5.66853e40 + 1.65237e40i 0.932005 + 0.271679i
\(355\) 4.31611e40 7.47573e40i 0.678327 1.17490i
\(356\) 1.32723e41i 1.99409i
\(357\) 4.91340e39 + 3.81871e39i 0.0705814 + 0.0548561i
\(358\) 6.67539e39 0.0916955
\(359\) 2.06788e40 + 1.19389e40i 0.271653 + 0.156839i 0.629639 0.776888i \(-0.283203\pi\)
−0.357986 + 0.933727i \(0.616536\pi\)
\(360\) 3.42146e41 1.78089e41i 4.29903 2.23767i
\(361\) −6.69848e39 1.16021e40i −0.0805121 0.139451i
\(362\) 2.40620e41 + 1.38922e41i 2.76691 + 1.59748i
\(363\) −1.43269e40 + 1.37144e40i −0.157633 + 0.150893i
\(364\) −1.05480e41 + 2.66369e41i −1.11057 + 2.80454i
\(365\) 1.19193e41i 1.20106i
\(366\) −1.42452e41 + 3.48543e40i −1.37395 + 0.336170i
\(367\) 3.72614e40 + 6.45387e40i 0.344035 + 0.595886i 0.985178 0.171535i \(-0.0548728\pi\)
−0.641143 + 0.767421i \(0.721539\pi\)
\(368\) −6.92388e41 + 3.99750e41i −6.12046 + 3.53365i
\(369\) 3.15463e40 4.95126e40i 0.267010 0.419077i
\(370\) −4.06145e41 −3.29195
\(371\) −6.63622e40 2.62788e40i −0.515156 0.203997i
\(372\) −7.98460e40 + 7.64322e40i −0.593698 + 0.568315i
\(373\) −3.99935e40 + 6.92708e40i −0.284871 + 0.493411i −0.972578 0.232577i \(-0.925284\pi\)
0.687707 + 0.725989i \(0.258617\pi\)
\(374\) −1.97931e40 + 1.14275e40i −0.135073 + 0.0779843i
\(375\) 1.76663e40 6.06050e40i 0.115517 0.396285i
\(376\) 1.10294e41 1.91035e41i 0.691110 1.19704i
\(377\) 7.74670e39i 0.0465216i
\(378\) 2.21992e41 2.61234e41i 1.27782 1.50370i
\(379\) −3.14393e41 −1.73478 −0.867391 0.497627i \(-0.834205\pi\)
−0.867391 + 0.497627i \(0.834205\pi\)
\(380\) −6.61988e41 3.82199e41i −3.50197 2.02186i
\(381\) −2.50485e41 7.30164e40i −1.27052 0.370357i
\(382\) 6.91154e40 + 1.19711e41i 0.336172 + 0.582266i
\(383\) 1.97275e41 + 1.13897e41i 0.920220 + 0.531289i 0.883705 0.468044i \(-0.155041\pi\)
0.0365145 + 0.999333i \(0.488374\pi\)
\(384\) 9.16672e41 + 9.57614e41i 4.10123 + 4.28441i
\(385\) 1.65941e41 + 2.09389e41i 0.712169 + 0.898634i
\(386\) 4.42962e40i 0.182377i
\(387\) 1.67762e41 + 1.06887e41i 0.662701 + 0.422232i
\(388\) −3.98484e41 6.90195e41i −1.51044 2.61616i
\(389\) 4.04993e40 2.33823e40i 0.147317 0.0850538i −0.424529 0.905414i \(-0.639560\pi\)
0.571847 + 0.820360i \(0.306227\pi\)
\(390\) −1.81580e41 7.42132e41i −0.633919 2.59088i
\(391\) 4.20742e40 0.140990
\(392\) 1.13108e42 + 2.65422e41i 3.63846 + 0.853809i
\(393\) −4.24321e41 4.43273e41i −1.31043 1.36896i
\(394\) 4.66565e41 8.08115e41i 1.38348 2.39626i
\(395\) 2.75582e41 1.59107e41i 0.784688 0.453040i
\(396\) 4.32037e41 + 8.30032e41i 1.18140 + 2.26972i
\(397\) −8.42764e40 + 1.45971e41i −0.221339 + 0.383370i −0.955215 0.295913i \(-0.904376\pi\)
0.733876 + 0.679284i \(0.237709\pi\)
\(398\) 5.55108e41i 1.40039i
\(399\) −4.40447e41 6.07604e40i −1.06740 0.147250i
\(400\) −1.31194e42 −3.05460
\(401\) −3.26607e41 1.88566e41i −0.730659 0.421846i 0.0880040 0.996120i \(-0.471951\pi\)
−0.818663 + 0.574274i \(0.805284\pi\)
\(402\) −1.72701e41 + 5.92459e41i −0.371261 + 1.27362i
\(403\) 7.16420e40 + 1.24088e41i 0.148009 + 0.256359i
\(404\) 1.87703e42 + 1.08370e42i 3.72709 + 2.15183i
\(405\) −5.92824e40 + 6.76853e41i −0.113148 + 1.29186i
\(406\) −4.74875e40 + 7.00972e39i −0.0871291 + 0.0128613i
\(407\) 6.44824e41i 1.13744i
\(408\) −4.68144e40 1.91335e41i −0.0793994 0.324512i
\(409\) 5.24182e41 + 9.07910e41i 0.854888 + 1.48071i 0.876749 + 0.480949i \(0.159708\pi\)
−0.0218606 + 0.999761i \(0.506959\pi\)
\(410\) −7.02131e41 + 4.05375e41i −1.10123 + 0.635793i
\(411\) 4.04806e41 9.90451e40i 0.610629 0.149405i
\(412\) 1.32309e42 1.91970
\(413\) −3.27720e41 1.29774e41i −0.457407 0.181129i
\(414\) 1.01215e41 2.31566e42i 0.135906 3.10934i
\(415\) 1.69094e41 2.92880e41i 0.218454 0.378373i
\(416\) 3.70692e42 2.14019e42i 4.60808 2.66048i
\(417\) −1.29179e41 3.76556e40i −0.154531 0.0450456i
\(418\) 8.16487e41 1.41420e42i 0.940002 1.62813i
\(419\) 1.11572e42i 1.23631i −0.786055 0.618157i \(-0.787880\pi\)
0.786055 0.618157i \(-0.212120\pi\)
\(420\) −3.25888e42 + 1.32631e42i −3.47600 + 1.41468i
\(421\) 2.26991e40 0.0233074 0.0116537 0.999932i \(-0.496290\pi\)
0.0116537 + 0.999932i \(0.496290\pi\)
\(422\) −2.32339e41 1.34141e41i −0.229679 0.132605i
\(423\) 1.79404e41 + 3.44671e41i 0.170760 + 0.328065i
\(424\) 1.12967e42 + 1.95664e42i 1.03537 + 1.79332i
\(425\) 5.97919e40 + 3.45209e40i 0.0527739 + 0.0304690i
\(426\) −1.75432e42 + 1.67932e42i −1.49127 + 1.42751i
\(427\) 8.66102e41 1.27847e41i 0.709125 0.104675i
\(428\) 4.72770e42i 3.72863i
\(429\) 1.17826e42 2.88288e41i 0.895208 0.219033i
\(430\) −1.37352e42 2.37900e42i −1.00540 1.74141i
\(431\) −1.57908e42 + 9.11681e41i −1.11370 + 0.642993i −0.939785 0.341768i \(-0.888974\pi\)
−0.173913 + 0.984761i \(0.555641\pi\)
\(432\) −6.46673e42 + 1.28583e42i −4.39486 + 0.873863i
\(433\) 2.17822e42 1.42658 0.713289 0.700870i \(-0.247205\pi\)
0.713289 + 0.700870i \(0.247205\pi\)
\(434\) 6.95835e41 5.51451e41i 0.439209 0.348074i
\(435\) 6.87255e40 6.57872e40i 0.0418109 0.0400233i
\(436\) −2.82184e42 + 4.88757e42i −1.65481 + 2.86622i
\(437\) −2.60341e42 + 1.50308e42i −1.47177 + 0.849727i
\(438\) 9.38426e41 3.21931e42i 0.511463 1.75459i
\(439\) 1.48562e42 2.57317e42i 0.780683 1.35218i −0.150861 0.988555i \(-0.548204\pi\)
0.931544 0.363628i \(-0.118462\pi\)
\(440\) 8.45704e42i 4.28524i
\(441\) −1.46491e42 + 1.42910e42i −0.715802 + 0.698304i
\(442\) −3.90170e41 −0.183864
\(443\) −1.25855e42 7.26626e41i −0.572021 0.330257i 0.185935 0.982562i \(-0.440469\pi\)
−0.757956 + 0.652306i \(0.773802\pi\)
\(444\) 8.15252e42 + 2.37646e42i 3.57408 + 1.04184i
\(445\) −1.05648e42 1.82988e42i −0.446788 0.773859i
\(446\) 6.93482e42 + 4.00382e42i 2.82929 + 1.63349i
\(447\) −1.70494e42 1.78109e42i −0.671103 0.701077i
\(448\) −9.14586e42 1.15405e43i −3.47357 4.38304i
\(449\) 2.74944e42i 1.00763i −0.863811 0.503816i \(-0.831929\pi\)
0.863811 0.503816i \(-0.168071\pi\)
\(450\) 2.04378e42 3.20775e42i 0.722825 1.13449i
\(451\) −6.43601e41 1.11475e42i −0.219681 0.380499i
\(452\) −4.54177e42 + 2.62219e42i −1.49627 + 0.863873i
\(453\) −1.15052e42 4.70226e42i −0.365866 1.49532i
\(454\) −7.87995e41 −0.241897
\(455\) 6.66042e41 + 4.51212e42i 0.197387 + 1.33721i
\(456\) 9.73207e42 + 1.01667e43i 2.78463 + 2.90900i
\(457\) 6.34490e41 1.09897e42i 0.175293 0.303617i −0.764969 0.644067i \(-0.777246\pi\)
0.940263 + 0.340450i \(0.110579\pi\)
\(458\) −3.06385e42 + 1.76891e42i −0.817372 + 0.471910i
\(459\) 3.28556e41 + 1.11556e41i 0.0846459 + 0.0287402i
\(460\) −1.18945e43 + 2.06019e43i −2.95951 + 5.12603i
\(461\) 7.82099e42i 1.87952i −0.341834 0.939761i \(-0.611048\pi\)
0.341834 0.939761i \(-0.388952\pi\)
\(462\) −2.83339e42 6.96191e42i −0.657709 1.61606i
\(463\) −7.90371e42 −1.77229 −0.886145 0.463407i \(-0.846627\pi\)
−0.886145 + 0.463407i \(0.846627\pi\)
\(464\) 7.99526e41 + 4.61607e41i 0.173199 + 0.0999964i
\(465\) −4.92449e41 + 1.68937e42i −0.103066 + 0.353571i
\(466\) −7.88368e42 1.36549e43i −1.59424 2.76131i
\(467\) −2.39134e42 1.38064e42i −0.467273 0.269780i 0.247825 0.968805i \(-0.420284\pi\)
−0.715097 + 0.699025i \(0.753618\pi\)
\(468\) −6.97562e41 + 1.59592e43i −0.131719 + 3.01355i
\(469\) 1.35636e42 3.42524e42i 0.247520 0.625066i
\(470\) 5.36603e42i 0.946427i
\(471\) −6.31247e41 2.57996e42i −0.107613 0.439824i
\(472\) 5.57870e42 + 9.66259e42i 0.919308 + 1.59229i
\(473\) 3.77707e42 2.18069e42i 0.601695 0.347389i
\(474\) −8.69591e42 + 2.12765e42i −1.33925 + 0.327678i
\(475\) −4.93297e42 −0.734532
\(476\) 2.62385e41 + 1.77753e42i 0.0377770 + 0.255921i
\(477\) −3.97602e42 1.73788e41i −0.553547 0.0241950i
\(478\) 2.05197e42 3.55411e42i 0.276264 0.478503i
\(479\) −8.15300e42 + 4.70714e42i −1.06157 + 0.612899i −0.925867 0.377850i \(-0.876663\pi\)
−0.135705 + 0.990749i \(0.543330\pi\)
\(480\) 5.04671e43 + 1.47111e43i 6.35549 + 1.85262i
\(481\) 5.50405e42 9.53329e42i 0.670442 1.16124i
\(482\) 8.30661e42i 0.978749i
\(483\) −1.89093e42 + 1.37072e43i −0.215537 + 1.56241i
\(484\) −5.72655e42 −0.631492
\(485\) −1.09880e43 6.34391e42i −1.17233 0.676845i
\(486\) 6.93014e42 1.78145e43i 0.715421 1.83905i
\(487\) 1.82314e42 + 3.15778e42i 0.182120 + 0.315441i 0.942602 0.333918i \(-0.108371\pi\)
−0.760482 + 0.649359i \(0.775037\pi\)
\(488\) −2.39999e43 1.38563e43i −2.32002 1.33946i
\(489\) 9.31659e42 8.91826e42i 0.871596 0.834331i
\(490\) 2.70568e43 8.16573e42i 2.44985 0.739363i
\(491\) 2.16593e43i 1.89820i 0.314980 + 0.949098i \(0.398002\pi\)
−0.314980 + 0.949098i \(0.601998\pi\)
\(492\) 1.64658e43 4.02873e42i 1.39682 0.341764i
\(493\) −2.42923e40 4.20756e40i −0.00199489 0.00345525i
\(494\) 2.41425e43 1.39387e43i 1.91933 1.10813i
\(495\) 1.25637e43 + 8.00480e42i 0.967016 + 0.616123i
\(496\) −1.70759e43 −1.27256
\(497\) 1.13622e43 9.00457e42i 0.819899 0.649772i
\(498\) −6.87299e42 + 6.57914e42i −0.480259 + 0.459726i
\(499\) −9.93110e42 + 1.72012e43i −0.672030 + 1.16399i 0.305297 + 0.952257i \(0.401244\pi\)
−0.977327 + 0.211733i \(0.932089\pi\)
\(500\) 1.57854e43 9.11371e42i 1.03451 0.597276i
\(501\) 4.95327e42 1.69924e43i 0.314404 1.07857i
\(502\) −6.94179e41 + 1.20235e42i −0.0426788 + 0.0739219i
\(503\) 2.52468e43i 1.50355i 0.659417 + 0.751777i \(0.270803\pi\)
−0.659417 + 0.751777i \(0.729197\pi\)
\(504\) 6.44383e43 6.65240e42i 3.71754 0.383787i
\(505\) 3.45054e43 1.92852
\(506\) −4.40115e43 2.54101e43i −2.38319 1.37593i
\(507\) 1.58194e42 + 4.61134e41i 0.0829969 + 0.0241935i
\(508\) −3.76677e43 6.52424e43i −1.91492 3.31673i
\(509\) 1.44719e43 + 8.35535e42i 0.712920 + 0.411605i 0.812141 0.583461i \(-0.198302\pi\)
−0.0992213 + 0.995065i \(0.531635\pi\)
\(510\) −3.31344e42 3.46143e42i −0.158182 0.165247i
\(511\) −7.37022e42 + 1.86121e43i −0.340993 + 0.861115i
\(512\) 1.36658e44i 6.12795i
\(513\) −2.43152e43 + 4.83478e42i −1.05682 + 0.210135i
\(514\) 2.62514e43 + 4.54687e43i 1.10597 + 1.91559i
\(515\) 1.82417e43 1.05318e43i 0.744987 0.430119i
\(516\) 1.36504e43 + 5.57904e43i 0.540443 + 2.20884i
\(517\) 8.51947e42 0.327012
\(518\) −6.34199e43 2.51137e43i −2.36020 0.934618i
\(519\) −9.11244e42 9.51944e42i −0.328819 0.343505i
\(520\) 7.21871e43 1.25032e44i 2.52584 4.37489i
\(521\) −1.80309e43 + 1.04102e43i −0.611807 + 0.353227i −0.773672 0.633586i \(-0.781582\pi\)
0.161865 + 0.986813i \(0.448249\pi\)
\(522\) −2.37417e42 + 1.23577e42i −0.0781238 + 0.0406639i
\(523\) 2.42650e41 4.20282e41i 0.00774378 0.0134126i −0.862128 0.506691i \(-0.830868\pi\)
0.869871 + 0.493279i \(0.164202\pi\)
\(524\) 1.77179e44i 5.48419i
\(525\) −1.39337e43 + 1.79280e43i −0.418328 + 0.538247i
\(526\) −8.81521e43 −2.56720
\(527\) 7.78236e41 + 4.49315e41i 0.0219858 + 0.0126935i
\(528\) −4.04557e43 + 1.38785e44i −1.10876 + 3.80364i
\(529\) 2.79732e43 + 4.84510e43i 0.743792 + 1.28829i
\(530\) 4.75972e43 + 2.74803e43i 1.22791 + 0.708936i
\(531\) −1.96350e43 8.58227e41i −0.491495 0.0214827i
\(532\) −7.97370e43 1.00614e44i −1.93675 2.44384i
\(533\) 2.19745e43i 0.517944i
\(534\) 1.41277e43 + 5.77413e43i 0.323156 + 1.32077i
\(535\) 3.76327e43 + 6.51818e43i 0.835420 + 1.44699i
\(536\) −1.00991e44 + 5.83070e43i −2.17593 + 1.25627i
\(537\) −2.15833e42 + 5.28084e41i −0.0451366 + 0.0110437i
\(538\) 1.69576e42 0.0344228
\(539\) 1.29645e43 + 4.29572e43i 0.255467 + 0.846478i
\(540\) −1.47508e44 + 1.29342e44i −2.82172 + 2.47422i
\(541\) −9.91203e42 + 1.71681e43i −0.184080 + 0.318836i −0.943266 0.332038i \(-0.892264\pi\)
0.759186 + 0.650873i \(0.225597\pi\)
\(542\) 8.03381e43 4.63832e43i 1.44855 0.836319i
\(543\) −8.87888e43 2.58819e43i −1.55439 0.453105i
\(544\) 1.34226e43 2.32486e43i 0.228167 0.395197i
\(545\) 8.98480e43i 1.48308i
\(546\) 1.75354e43 1.27112e44i 0.281082 2.03754i
\(547\) −4.43107e43 −0.689781 −0.344891 0.938643i \(-0.612084\pi\)
−0.344891 + 0.938643i \(0.612084\pi\)
\(548\) 1.04210e44 + 6.01658e43i 1.57551 + 0.909622i
\(549\) 4.33013e43 2.25386e43i 0.635834 0.330955i
\(550\) −4.16967e43 7.22208e43i −0.594701 1.03005i
\(551\) 3.00626e42 + 1.73567e42i 0.0416487 + 0.0240459i
\(552\) 3.16401e44 3.02874e44i 4.25807 4.07602i
\(553\) 5.28706e43 7.80433e42i 0.691213 0.102031i
\(554\) 3.76614e43i 0.478344i
\(555\) 1.31317e44 3.21298e43i 1.62045 0.396479i
\(556\) −1.94258e43 3.36464e43i −0.232907 0.403406i
\(557\) −1.21666e43 + 7.02438e42i −0.141738 + 0.0818323i −0.569192 0.822205i \(-0.692744\pi\)
0.427454 + 0.904037i \(0.359411\pi\)
\(558\) 2.66013e43 4.17512e43i 0.301131 0.472631i
\(559\) 7.44553e43 0.819043
\(560\) −5.05378e44 2.00125e44i −5.40266 2.13940i
\(561\) 5.49560e42 5.26064e42i 0.0570964 0.0546553i
\(562\) −2.01104e43 + 3.48323e43i −0.203068 + 0.351723i
\(563\) 1.22375e44 7.06532e43i 1.20104 0.693422i 0.240255 0.970710i \(-0.422769\pi\)
0.960787 + 0.277288i \(0.0894355\pi\)
\(564\) −3.13980e43 + 1.07712e44i −0.299527 + 1.02754i
\(565\) −4.17456e43 + 7.23055e43i −0.387111 + 0.670496i
\(566\) 2.86150e43i 0.257948i
\(567\) −5.11097e43 + 1.02026e44i −0.447893 + 0.894087i
\(568\) −4.58909e44 −3.90979
\(569\) −3.33217e43 1.92383e43i −0.276014 0.159357i 0.355604 0.934637i \(-0.384275\pi\)
−0.631617 + 0.775280i \(0.717609\pi\)
\(570\) 3.28683e44 + 9.58108e43i 2.64715 + 0.771643i
\(571\) 5.59711e43 + 9.69447e43i 0.438314 + 0.759183i 0.997560 0.0698194i \(-0.0222423\pi\)
−0.559245 + 0.829002i \(0.688909\pi\)
\(572\) 3.03322e44 + 1.75123e44i 2.30977 + 1.33354i
\(573\) −3.18171e43 3.32382e43i −0.235606 0.246129i
\(574\) −1.34704e44 + 1.98840e43i −0.970044 + 0.143190i
\(575\) 1.53520e44i 1.07517i
\(576\) −6.92447e44 4.41184e44i −4.71658 3.00511i
\(577\) −8.50508e43 1.47312e44i −0.563463 0.975947i −0.997191 0.0749027i \(-0.976135\pi\)
0.433728 0.901044i \(-0.357198\pi\)
\(578\) 2.63079e44 1.51889e44i 1.69528 0.978768i
\(579\) −3.50424e42 1.43221e43i −0.0219653 0.0897739i
\(580\) 2.74700e43 0.167499
\(581\) 4.45142e43 3.52776e43i 0.264047 0.209258i
\(582\) 2.46829e44 + 2.57854e44i 1.42439 + 1.48801i
\(583\) −4.36295e43 + 7.55685e43i −0.244953 + 0.424272i
\(584\) 5.48764e44 3.16829e44i 2.99764 1.73069i
\(585\) 1.17419e44 + 2.25586e44i 0.624086 + 1.19900i
\(586\) −1.88893e44 + 3.27172e44i −0.976907 + 1.69205i
\(587\) 1.72020e44i 0.865705i 0.901465 + 0.432853i \(0.142493\pi\)
−0.901465 + 0.432853i \(0.857507\pi\)
\(588\) −5.90889e44 + 5.59417e42i −2.89380 + 0.0273967i
\(589\) −6.42063e43 −0.306008
\(590\) 2.35052e44 + 1.35707e44i 1.09026 + 0.629464i
\(591\) −8.69235e43 + 2.98194e44i −0.392408 + 1.34617i
\(592\) 6.55946e44 + 1.13613e45i 2.88218 + 4.99208i
\(593\) −2.54036e44 1.46668e44i −1.08648 0.627278i −0.153840 0.988096i \(-0.549164\pi\)
−0.932636 + 0.360818i \(0.882497\pi\)
\(594\) −2.76312e44 3.15119e44i −1.15031 1.31187i
\(595\) 1.77668e43 + 2.24186e43i 0.0720008 + 0.0908526i
\(596\) 7.11914e44i 2.80858i
\(597\) −4.39142e43 1.79481e44i −0.168661 0.689333i
\(598\) −4.33787e44 7.51342e44i −1.62203 2.80943i
\(599\) 2.43354e44 1.40500e44i 0.885950 0.511503i 0.0133344 0.999911i \(-0.495755\pi\)
0.872616 + 0.488408i \(0.162422\pi\)
\(600\) 6.98140e44 1.70816e44i 2.47470 0.605492i
\(601\) 5.03291e44 1.73711 0.868556 0.495590i \(-0.165048\pi\)
0.868556 + 0.495590i \(0.165048\pi\)
\(602\) −6.73721e43 4.56414e44i −0.226431 1.53396i
\(603\) 8.96994e42 2.05220e44i 0.0293571 0.671648i
\(604\) 6.98891e44 1.21052e45i 2.22750 3.85815i
\(605\) −7.89533e43 + 4.55837e43i −0.245067 + 0.141489i
\(606\) −9.31961e44 2.71666e44i −2.81732 0.821247i
\(607\) −3.02711e44 + 5.24311e44i −0.891270 + 1.54372i −0.0529159 + 0.998599i \(0.516852\pi\)
−0.838354 + 0.545126i \(0.816482\pi\)
\(608\) 1.91806e45i 5.50054i
\(609\) 1.47994e43 6.02313e42i 0.0413398 0.0168246i
\(610\) −6.74138e44 −1.83430
\(611\) 1.25955e44 + 7.27200e43i 0.333853 + 0.192750i
\(612\) 4.62567e43 + 8.88687e43i 0.119441 + 0.229470i
\(613\) 1.37334e44 + 2.37869e44i 0.345470 + 0.598372i 0.985439 0.170029i \(-0.0543861\pi\)
−0.639969 + 0.768401i \(0.721053\pi\)
\(614\) 8.07087e44 + 4.65972e44i 1.97800 + 1.14200i
\(615\) 1.94948e44 1.86613e44i 0.465498 0.445596i
\(616\) 5.22935e44 1.32057e45i 1.21662 3.07235i
\(617\) 7.33546e44i 1.66289i 0.555604 + 0.831447i \(0.312487\pi\)
−0.555604 + 0.831447i \(0.687513\pi\)
\(618\) −5.75611e44 + 1.40836e44i −1.27149 + 0.311100i
\(619\) −1.36068e44 2.35677e44i −0.292891 0.507301i 0.681601 0.731724i \(-0.261284\pi\)
−0.974492 + 0.224422i \(0.927951\pi\)
\(620\) −4.40019e44 + 2.54045e44i −0.923005 + 0.532897i
\(621\) 1.50464e44 + 7.56719e44i 0.307587 + 1.54692i
\(622\) −4.66056e44 −0.928522
\(623\) −5.18211e43 3.51063e44i −0.100623 0.681674i
\(624\) −1.78275e45 + 1.70653e45i −3.37393 + 3.22968i
\(625\) 3.29865e44 5.71343e44i 0.608493 1.05394i
\(626\) 4.56053e44 2.63302e44i 0.820023 0.473441i
\(627\) −1.52116e44 + 5.21839e44i −0.266620 + 0.914652i
\(628\) 3.83456e44 6.64166e44i 0.655182 1.13481i
\(629\) 6.90391e43i 0.114997i
\(630\) 1.27660e45 9.23908e44i 2.07304 1.50031i
\(631\) 7.95241e43 0.125901 0.0629505 0.998017i \(-0.479949\pi\)
0.0629505 + 0.998017i \(0.479949\pi\)
\(632\) −1.46506e45 8.45851e44i −2.26142 1.30563i
\(633\) 8.57329e43 + 2.49911e43i 0.129029 + 0.0376120i
\(634\) 2.14464e43 + 3.71463e43i 0.0314722 + 0.0545114i
\(635\) −1.03867e45 5.99674e44i −1.48627 0.858096i
\(636\) −7.94622e44 8.30112e44i −1.10878 1.15831i
\(637\) −1.75000e44 + 7.45755e44i −0.238127 + 1.01476i
\(638\) 5.86839e43i 0.0778732i
\(639\) 4.34369e44 6.81750e44i 0.562140 0.882290i
\(640\) 3.04683e45 + 5.27726e45i 3.84564 + 6.66084i
\(641\) −7.79662e44 + 4.50138e44i −0.959794 + 0.554137i −0.896110 0.443833i \(-0.853618\pi\)
−0.0636845 + 0.997970i \(0.520285\pi\)
\(642\) −5.03242e44 2.05679e45i −0.604250 2.46962i
\(643\) 7.81780e44 0.915606 0.457803 0.889054i \(-0.348636\pi\)
0.457803 + 0.889054i \(0.348636\pi\)
\(644\) −3.13123e45 + 2.48151e45i −3.57719 + 2.83493i
\(645\) 6.32296e44 + 6.60536e44i 0.704636 + 0.736108i
\(646\) 8.74185e43 1.51413e44i 0.0950349 0.164605i
\(647\) 3.01507e43 1.74075e43i 0.0319764 0.0184616i −0.483927 0.875109i \(-0.660790\pi\)
0.515903 + 0.856647i \(0.327456\pi\)
\(648\) 3.27381e45 1.52622e45i 3.38729 1.57913i
\(649\) −2.15458e44 + 3.73185e44i −0.217494 + 0.376711i
\(650\) 1.42365e45i 1.40213i
\(651\) −1.81357e44 + 2.33346e44i −0.174276 + 0.224235i
\(652\) 3.72390e45 3.49170
\(653\) −3.44148e44 1.98694e44i −0.314873 0.181792i 0.334232 0.942491i \(-0.391523\pi\)
−0.649105 + 0.760699i \(0.724856\pi\)
\(654\) 7.07387e44 2.42672e45i 0.631558 2.16658i
\(655\) −1.41036e45 2.44281e45i −1.22876 2.12828i
\(656\) 2.26796e45 + 1.30941e45i 1.92829 + 1.11330i
\(657\) −4.87410e43 + 1.11512e45i −0.0404434 + 0.925289i
\(658\) 3.31804e44 8.37910e44i 0.268700 0.678552i
\(659\) 2.93943e44i 0.232325i 0.993230 + 0.116163i \(0.0370594\pi\)
−0.993230 + 0.116163i \(0.962941\pi\)
\(660\) 1.02228e45 + 4.17814e45i 0.788618 + 3.22315i
\(661\) −1.16843e44 2.02377e44i −0.0879788 0.152384i 0.818678 0.574253i \(-0.194707\pi\)
−0.906657 + 0.421869i \(0.861374\pi\)
\(662\) 3.48204e45 2.01035e45i 2.55921 1.47756i
\(663\) 1.26152e44 3.08661e43i 0.0905062 0.0221444i
\(664\) −1.79789e45 −1.25914
\(665\) −1.90025e45 7.52480e44i −1.29916 0.514456i
\(666\) −3.79973e45 1.66082e44i −2.53610 0.110850i
\(667\) 5.40160e43 9.35584e43i 0.0351973 0.0609634i
\(668\) 4.42590e45 2.55529e45i 2.81565 1.62561i
\(669\) −2.55895e45 7.45932e44i −1.58944 0.463320i
\(670\) −1.41837e45 + 2.45670e45i −0.860189 + 1.48989i
\(671\) 1.07031e45i 0.633794i
\(672\) 6.97083e45 + 5.41776e45i 4.03066 + 3.13264i
\(673\) 1.57824e45 0.891109 0.445554 0.895255i \(-0.353007\pi\)
0.445554 + 0.895255i \(0.353007\pi\)
\(674\) −1.44352e45 8.33417e44i −0.795911 0.459520i
\(675\) −4.07044e44 + 1.19883e45i −0.219170 + 0.645502i
\(676\) 2.37890e44 + 4.12037e44i 0.125092 + 0.216665i
\(677\) −1.41041e45 8.14301e44i −0.724314 0.418183i 0.0920242 0.995757i \(-0.470666\pi\)
−0.816339 + 0.577574i \(0.804000\pi\)
\(678\) 1.69679e45 1.62424e45i 0.851044 0.814659i
\(679\) −1.32351e45 1.67004e45i −0.648352 0.818107i
\(680\) 9.05467e44i 0.433241i
\(681\) 2.54780e44 6.23377e43i 0.119072 0.0291338i
\(682\) −5.42713e44 9.40007e44i −0.247754 0.429122i
\(683\) −2.66448e45 + 1.53834e45i −1.18818 + 0.685995i −0.957892 0.287129i \(-0.907299\pi\)
−0.230285 + 0.973123i \(0.573966\pi\)
\(684\) −6.03701e45 3.84641e45i −2.62981 1.67555i
\(685\) 1.91569e45 0.815223
\(686\) 4.72986e45 + 3.97951e44i 1.96636 + 0.165441i
\(687\) 8.50686e44 8.14315e44i 0.345511 0.330738i
\(688\) −4.43661e45 + 7.68443e45i −1.76050 + 3.04928i
\(689\) −1.29007e45 + 7.44821e44i −0.500155 + 0.288765i
\(690\) 2.98174e45 1.02290e46i 1.12950 3.87478i
\(691\) 5.38953e44 9.33493e44i 0.199481 0.345511i −0.748879 0.662707i \(-0.769408\pi\)
0.948360 + 0.317195i \(0.102741\pi\)
\(692\) 3.80498e45i 1.37612i
\(693\) 1.46686e45 + 2.02682e45i 0.518390 + 0.716282i
\(694\) −7.52490e45 −2.59866
\(695\) −5.35655e44 3.09261e44i −0.180771 0.104368i
\(696\) −4.85563e44 1.41541e44i −0.160139 0.0466805i
\(697\) −6.89082e43 1.19353e44i −0.0222099 0.0384687i
\(698\) −6.56467e45 3.79011e45i −2.06788 1.19389i
\(699\) 3.62923e45 + 3.79133e45i 1.11733 + 1.16723i
\(700\) −6.48583e45 + 9.57386e44i −1.95163 + 0.288084i
\(701\) 1.66054e45i 0.488383i 0.969727 + 0.244191i \(0.0785225\pi\)
−0.969727 + 0.244191i \(0.921478\pi\)
\(702\) −1.39531e45 7.01735e45i −0.401123 2.01734i
\(703\) 2.46639e45 + 4.27191e45i 0.693069 + 1.20043i
\(704\) −1.55901e46 + 9.00094e45i −4.28239 + 2.47244i
\(705\) 4.24502e44 + 1.73498e45i 0.113987 + 0.465874i
\(706\) 4.11833e45 1.08105
\(707\) 5.38804e45 + 2.13361e45i 1.38268 + 0.547527i
\(708\) −3.92413e45 4.09939e45i −0.984489 1.02846i
\(709\) −9.34972e44 + 1.61942e45i −0.229329 + 0.397209i −0.957609 0.288070i \(-0.906986\pi\)
0.728280 + 0.685279i \(0.240320\pi\)
\(710\) −9.66780e45 + 5.58170e45i −2.31843 + 1.33855i
\(711\) 2.64330e45 1.37585e45i 0.619773 0.322596i
\(712\) −5.61649e45 + 9.72805e45i −1.28761 + 2.23021i
\(713\) 1.99817e45i 0.447921i
\(714\) −3.03361e44 7.45388e44i −0.0664949 0.163385i
\(715\) 5.57596e45 1.19515
\(716\) −5.55624e44 3.20790e44i −0.116459 0.0672375i
\(717\) −3.82292e44 + 1.31147e45i −0.0783590 + 0.268813i
\(718\) −1.54397e45 2.67424e45i −0.309491 0.536054i
\(719\) 2.33489e45 + 1.34805e45i 0.457724 + 0.264267i 0.711087 0.703104i \(-0.248203\pi\)
−0.253363 + 0.967371i \(0.581537\pi\)
\(720\) −3.02792e46 1.32347e45i −5.80529 0.253743i
\(721\) 3.49968e45 5.16594e44i 0.656242 0.0968691i
\(722\) 1.73253e45i 0.317750i
\(723\) −6.57130e44 2.68575e45i −0.117879 0.481784i
\(724\) −1.33520e46 2.31263e46i −2.34276 4.05778i
\(725\) 1.53525e44 8.86376e43i 0.0263494 0.0152128i
\(726\) 2.49135e45 6.09566e44i 0.418262 0.102337i
\(727\) 5.65467e45 0.928659 0.464330 0.885662i \(-0.346295\pi\)
0.464330 + 0.885662i \(0.346295\pi\)
\(728\) 1.90033e46 1.50602e46i 3.05301 2.41951i
\(729\) −8.31404e44 + 6.30813e45i −0.130669 + 0.991426i
\(730\) 7.70718e45 1.33492e46i 1.18503 2.05253i
\(731\) 4.04398e44 2.33479e44i 0.0608318 0.0351213i
\(732\) 1.35319e46 + 3.94455e45i 1.99151 + 0.580524i
\(733\) −5.43331e45 + 9.41078e45i −0.782350 + 1.35507i 0.148219 + 0.988955i \(0.452646\pi\)
−0.930569 + 0.366116i \(0.880687\pi\)
\(734\) 9.63748e45i 1.35777i
\(735\) −8.10218e45 + 4.78063e45i −1.11687 + 0.659004i
\(736\) 5.96923e46 8.05144
\(737\) −3.90042e45 2.25191e45i −0.514791 0.297215i
\(738\) −6.73463e45 + 3.50541e45i −0.869785 + 0.452728i
\(739\) −1.39431e45 2.41501e45i −0.176217 0.305217i 0.764365 0.644784i \(-0.223053\pi\)
−0.940582 + 0.339567i \(0.889719\pi\)