Properties

Label 21.33.h.b.2.5
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 2.5
Character \(\chi\) \(=\) 21.2
Dual form 21.33.h.b.11.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-102259. - 59039.4i) q^{2} +(1.92280e7 - 3.85137e7i) q^{3} +(4.82383e9 + 8.35512e9i) q^{4} +(7.05959e10 + 4.07586e10i) q^{5} +(-4.24007e12 + 2.80317e12i) q^{6} +(-3.32321e13 + 2.35838e11i) q^{7} -6.32040e14i q^{8} +(-1.11359e15 - 1.48108e15i) q^{9} +O(q^{10})\) \(q+(-102259. - 59039.4i) q^{2} +(1.92280e7 - 3.85137e7i) q^{3} +(4.82383e9 + 8.35512e9i) q^{4} +(7.05959e10 + 4.07586e10i) q^{5} +(-4.24007e12 + 2.80317e12i) q^{6} +(-3.32321e13 + 2.35838e11i) q^{7} -6.32040e14i q^{8} +(-1.11359e15 - 1.48108e15i) q^{9} +(-4.81273e15 - 8.33589e15i) q^{10} +(-1.31558e15 + 7.59552e14i) q^{11} +(4.14539e17 - 2.51313e16i) q^{12} -2.46605e17 q^{13} +(3.41222e18 + 1.93789e18i) q^{14} +(2.92718e18 - 1.93520e18i) q^{15} +(-1.65971e19 + 2.87470e19i) q^{16} +(-7.67063e19 + 4.42864e19i) q^{17} +(2.64325e19 + 2.17200e20i) q^{18} +(7.94407e19 - 1.37595e20i) q^{19} +7.86449e20i q^{20} +(-6.29904e20 + 1.28443e21i) q^{21} +1.79374e20 q^{22} +(6.90671e20 + 3.98759e20i) q^{23} +(-2.43422e22 - 1.21529e22i) q^{24} +(-8.31901e21 - 1.44090e22i) q^{25} +(2.52177e22 + 1.45594e22i) q^{26} +(-7.84540e22 + 1.44101e22i) q^{27} +(-1.62276e23 - 2.76520e23i) q^{28} -1.45142e23i q^{29} +(-4.13585e23 + 2.50734e22i) q^{30} +(-2.06605e23 - 3.57851e23i) q^{31} +(1.04351e24 - 6.02471e23i) q^{32} +(3.95712e21 + 6.52726e22i) q^{33} +1.04586e25 q^{34} +(-2.35566e24 - 1.33784e24i) q^{35} +(7.00286e24 - 1.64486e25i) q^{36} +(4.46922e23 - 7.74091e23i) q^{37} +(-1.62471e25 + 9.38027e24i) q^{38} +(-4.74173e24 + 9.49768e24i) q^{39} +(2.57610e25 - 4.46194e25i) q^{40} -9.55257e25i q^{41} +(1.40245e26 - 9.41553e25i) q^{42} -1.25738e26 q^{43} +(-1.26923e25 - 7.32789e24i) q^{44} +(-1.82480e25 - 1.49947e26i) q^{45} +(-4.70851e25 - 8.15537e25i) q^{46} +(-9.02607e26 - 5.21120e26i) q^{47} +(7.88024e26 + 1.19196e27i) q^{48} +(1.10432e27 - 1.56748e25i) q^{49} +1.96460e27i q^{50} +(2.30724e26 + 3.80578e27i) q^{51} +(-1.18958e27 - 2.06042e27i) q^{52} +(2.73644e27 - 1.57989e27i) q^{53} +(8.87342e27 + 3.15831e27i) q^{54} -1.23833e26 q^{55} +(1.49059e26 + 2.10040e28i) q^{56} +(-3.77182e27 - 5.70524e27i) q^{57} +(-8.56910e27 + 1.48421e28i) q^{58} +(-2.59459e28 + 1.49799e28i) q^{59} +(3.02891e28 + 1.51218e28i) q^{60} +(4.79224e27 - 8.30041e27i) q^{61} +4.87914e28i q^{62} +(3.73562e28 + 4.89568e28i) q^{63} +2.89679e26 q^{64} +(-1.74093e28 - 1.00513e28i) q^{65} +(3.44900e27 - 6.90836e27i) q^{66} +(2.27409e28 + 3.93883e28i) q^{67} +(-7.40036e29 - 4.27260e29i) q^{68} +(2.86379e28 - 1.89330e28i) q^{69} +(1.61903e29 + 2.75884e29i) q^{70} -6.68754e29i q^{71} +(-9.36103e29 + 7.03832e29i) q^{72} +(9.75886e28 + 1.69028e29i) q^{73} +(-9.14039e28 + 5.27720e28i) q^{74} +(-7.14900e29 + 4.33405e28i) q^{75} +1.53283e30 q^{76} +(4.35404e28 - 2.55518e28i) q^{77} +(1.04562e30 - 6.91278e29i) q^{78} +(-1.63639e30 + 2.83430e30i) q^{79} +(-2.34337e30 + 1.35295e30i) q^{80} +(-9.53526e29 + 3.29863e30i) q^{81} +(-5.63979e30 + 9.76840e30i) q^{82} +6.04233e30i q^{83} +(-1.37701e31 + 9.32928e29i) q^{84} -7.22020e30 q^{85} +(1.28579e31 + 7.42349e30i) q^{86} +(-5.58995e30 - 2.79079e30i) q^{87} +(4.80067e29 + 8.31500e29i) q^{88} +(-8.39869e30 - 4.84898e30i) q^{89} +(-6.98674e30 + 1.64108e31i) q^{90} +(8.19521e30 - 5.81590e28i) q^{91} +7.69419e30i q^{92} +(-1.77548e31 + 1.07638e30i) q^{93} +(6.15333e31 + 1.06579e32i) q^{94} +(1.12164e31 - 6.47578e30i) q^{95} +(-3.13876e30 - 5.17738e31i) q^{96} +9.92863e31 q^{97} +(-1.13852e32 - 6.35953e31i) q^{98} +(2.58998e30 + 1.10266e30i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 164q + 43046720q^{3} + 176093659134q^{4} + 3915256954876q^{6} - 41868332499126q^{7} + 1232720974221986q^{9} + O(q^{10}) \) \( 164q + 43046720q^{3} + 176093659134q^{4} + 3915256954876q^{6} - 41868332499126q^{7} + 1232720974221986q^{9} - 653609167486978q^{10} - 80283770812252892q^{12} + 930128021838524592q^{13} + 295985739739384604q^{15} - \)\(35\!\cdots\!98\)\(q^{16} - \)\(28\!\cdots\!84\)\(q^{18} - \)\(55\!\cdots\!32\)\(q^{19} - \)\(63\!\cdots\!60\)\(q^{21} - \)\(13\!\cdots\!96\)\(q^{22} + \)\(10\!\cdots\!46\)\(q^{24} + \)\(37\!\cdots\!44\)\(q^{25} - \)\(46\!\cdots\!76\)\(q^{27} + \)\(47\!\cdots\!58\)\(q^{28} - \)\(33\!\cdots\!80\)\(q^{30} + \)\(52\!\cdots\!26\)\(q^{31} - \)\(73\!\cdots\!26\)\(q^{33} - \)\(22\!\cdots\!96\)\(q^{34} - \)\(58\!\cdots\!40\)\(q^{36} - \)\(47\!\cdots\!40\)\(q^{37} + \)\(80\!\cdots\!20\)\(q^{39} - \)\(45\!\cdots\!26\)\(q^{40} + \)\(10\!\cdots\!78\)\(q^{42} - \)\(82\!\cdots\!28\)\(q^{43} + \)\(88\!\cdots\!80\)\(q^{45} + \)\(30\!\cdots\!92\)\(q^{46} - \)\(10\!\cdots\!00\)\(q^{48} + \)\(42\!\cdots\!90\)\(q^{49} + \)\(89\!\cdots\!16\)\(q^{51} + \)\(39\!\cdots\!84\)\(q^{52} + \)\(16\!\cdots\!78\)\(q^{54} + \)\(55\!\cdots\!00\)\(q^{55} - \)\(88\!\cdots\!80\)\(q^{57} + \)\(63\!\cdots\!34\)\(q^{58} + \)\(69\!\cdots\!10\)\(q^{60} - \)\(49\!\cdots\!48\)\(q^{61} + \)\(38\!\cdots\!20\)\(q^{63} - \)\(17\!\cdots\!24\)\(q^{64} + \)\(20\!\cdots\!84\)\(q^{66} + \)\(41\!\cdots\!36\)\(q^{67} - \)\(54\!\cdots\!68\)\(q^{69} - \)\(18\!\cdots\!50\)\(q^{70} + \)\(88\!\cdots\!12\)\(q^{72} + \)\(14\!\cdots\!40\)\(q^{73} - \)\(13\!\cdots\!24\)\(q^{75} - \)\(13\!\cdots\!12\)\(q^{76} - \)\(15\!\cdots\!20\)\(q^{78} + \)\(11\!\cdots\!98\)\(q^{79} + \)\(41\!\cdots\!98\)\(q^{81} - \)\(17\!\cdots\!72\)\(q^{82} + \)\(23\!\cdots\!36\)\(q^{84} - \)\(11\!\cdots\!64\)\(q^{85} + \)\(25\!\cdots\!98\)\(q^{87} - \)\(10\!\cdots\!90\)\(q^{88} - \)\(13\!\cdots\!64\)\(q^{90} + \)\(33\!\cdots\!84\)\(q^{91} - \)\(88\!\cdots\!00\)\(q^{93} - \)\(96\!\cdots\!24\)\(q^{94} + \)\(14\!\cdots\!10\)\(q^{96} - \)\(26\!\cdots\!24\)\(q^{97} - \)\(24\!\cdots\!32\)\(q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −102259. 59039.4i −1.56035 0.900870i −0.997221 0.0745040i \(-0.976263\pi\)
−0.563133 0.826366i \(-0.690404\pi\)
\(3\) 1.92280e7 3.85137e7i 0.446677 0.894695i
\(4\) 4.82383e9 + 8.35512e9i 1.12314 + 1.94533i
\(5\) 7.05959e10 + 4.07586e10i 0.462657 + 0.267115i 0.713161 0.701000i \(-0.247263\pi\)
−0.250504 + 0.968116i \(0.580596\pi\)
\(6\) −4.24007e12 + 2.80317e12i −1.50298 + 0.993642i
\(7\) −3.32321e13 + 2.35838e11i −0.999975 + 0.00709652i
\(8\) 6.32040e14i 2.24546i
\(9\) −1.11359e15 1.48108e15i −0.600958 0.799280i
\(10\) −4.81273e15 8.33589e15i −0.481273 0.833589i
\(11\) −1.31558e15 + 7.59552e14i −0.0286309 + 0.0165301i −0.514247 0.857642i \(-0.671929\pi\)
0.485616 + 0.874172i \(0.338595\pi\)
\(12\) 4.14539e17 2.51313e16i 2.24215 0.135930i
\(13\) −2.46605e17 −0.370603 −0.185302 0.982682i \(-0.559326\pi\)
−0.185302 + 0.982682i \(0.559326\pi\)
\(14\) 3.41222e18 + 1.93789e18i 1.56671 + 0.889775i
\(15\) 2.92718e18 1.93520e18i 0.445645 0.294623i
\(16\) −1.65971e19 + 2.87470e19i −0.899730 + 1.55838i
\(17\) −7.67063e19 + 4.42864e19i −1.57633 + 0.910097i −0.580970 + 0.813925i \(0.697327\pi\)
−0.995365 + 0.0961719i \(0.969340\pi\)
\(18\) 2.64325e19 + 2.17200e20i 0.217660 + 1.78855i
\(19\) 7.94407e19 1.37595e20i 0.275414 0.477031i −0.694826 0.719178i \(-0.744518\pi\)
0.970239 + 0.242148i \(0.0778518\pi\)
\(20\) 7.86449e20i 1.20003i
\(21\) −6.29904e20 + 1.28443e21i −0.440317 + 0.897842i
\(22\) 1.79374e20 0.0595658
\(23\) 6.90671e20 + 3.98759e20i 0.112623 + 0.0650228i 0.555253 0.831681i \(-0.312621\pi\)
−0.442631 + 0.896704i \(0.645955\pi\)
\(24\) −2.43422e22 1.21529e22i −2.00900 1.00299i
\(25\) −8.31901e21 1.44090e22i −0.357299 0.618860i
\(26\) 2.52177e22 + 1.45594e22i 0.578272 + 0.333865i
\(27\) −7.84540e22 + 1.44101e22i −0.983547 + 0.180654i
\(28\) −1.62276e23 2.76520e23i −1.13691 1.93731i
\(29\) 1.45142e23i 0.579996i −0.957027 0.289998i \(-0.906345\pi\)
0.957027 0.289998i \(-0.0936546\pi\)
\(30\) −4.13585e23 + 2.50734e22i −0.960781 + 0.0582470i
\(31\) −2.06605e23 3.57851e23i −0.284023 0.491943i 0.688348 0.725380i \(-0.258336\pi\)
−0.972372 + 0.233437i \(0.925003\pi\)
\(32\) 1.04351e24 6.02471e23i 0.863172 0.498352i
\(33\) 3.95712e21 + 6.52726e22i 0.00200058 + 0.0329995i
\(34\) 1.04586e25 3.27952
\(35\) −2.35566e24 1.33784e24i −0.464541 0.263825i
\(36\) 7.00286e24 1.64486e25i 0.879904 2.06676i
\(37\) 4.46922e23 7.74091e23i 0.0362246 0.0627429i −0.847345 0.531043i \(-0.821800\pi\)
0.883569 + 0.468300i \(0.155133\pi\)
\(38\) −1.62471e25 + 9.38027e24i −0.859485 + 0.496224i
\(39\) −4.74173e24 + 9.49768e24i −0.165540 + 0.331577i
\(40\) 2.57610e25 4.46194e25i 0.599796 1.03888i
\(41\) 9.55257e25i 1.49823i −0.662440 0.749115i \(-0.730479\pi\)
0.662440 0.749115i \(-0.269521\pi\)
\(42\) 1.40245e26 9.41553e25i 1.49589 1.00428i
\(43\) −1.25738e26 −0.920387 −0.460193 0.887819i \(-0.652220\pi\)
−0.460193 + 0.887819i \(0.652220\pi\)
\(44\) −1.26923e25 7.32789e24i −0.0643127 0.0371310i
\(45\) −1.82480e25 1.49947e26i −0.0645378 0.530318i
\(46\) −4.70851e25 8.15537e25i −0.117154 0.202917i
\(47\) −9.02607e26 5.21120e26i −1.59196 0.919120i −0.992970 0.118366i \(-0.962235\pi\)
−0.598993 0.800754i \(-0.704432\pi\)
\(48\) 7.88024e26 + 1.19196e27i 0.992384 + 1.50108i
\(49\) 1.10432e27 1.56748e25i 0.999899 0.0141927i
\(50\) 1.96460e27i 1.28752i
\(51\) 2.30724e26 + 3.80578e27i 0.110146 + 1.81686i
\(52\) −1.18958e27 2.06042e27i −0.416237 0.720944i
\(53\) 2.73644e27 1.57989e27i 0.705947 0.407579i −0.103611 0.994618i \(-0.533040\pi\)
0.809559 + 0.587039i \(0.199707\pi\)
\(54\) 8.87342e27 + 3.15831e27i 1.69743 + 0.604164i
\(55\) −1.23833e26 −0.0176617
\(56\) 1.49059e26 + 2.10040e28i 0.0159349 + 2.24540i
\(57\) −3.77182e27 5.70524e27i −0.303776 0.459490i
\(58\) −8.56910e27 + 1.48421e28i −0.522501 + 0.904998i
\(59\) −2.59459e28 + 1.49799e28i −1.20348 + 0.694827i −0.961326 0.275412i \(-0.911186\pi\)
−0.242149 + 0.970239i \(0.577852\pi\)
\(60\) 3.02891e28 + 1.51218e28i 1.07366 + 0.536025i
\(61\) 4.79224e27 8.30041e27i 0.130395 0.225851i −0.793434 0.608657i \(-0.791709\pi\)
0.923829 + 0.382806i \(0.125042\pi\)
\(62\) 4.87914e28i 1.02347i
\(63\) 3.73562e28 + 4.89568e28i 0.606615 + 0.794995i
\(64\) 2.89679e26 0.00365626
\(65\) −1.74093e28 1.00513e28i −0.171462 0.0989937i
\(66\) 3.44900e27 6.90836e27i 0.0266067 0.0532932i
\(67\) 2.27409e28 + 3.93883e28i 0.137915 + 0.238875i 0.926707 0.375785i \(-0.122627\pi\)
−0.788792 + 0.614660i \(0.789293\pi\)
\(68\) −7.40036e29 4.27260e29i −3.54087 2.04432i
\(69\) 2.86379e28 1.89330e28i 0.108482 0.0717188i
\(70\) 1.61903e29 + 2.75884e29i 0.487176 + 0.830152i
\(71\) 6.68754e29i 1.60374i −0.597501 0.801868i \(-0.703840\pi\)
0.597501 0.801868i \(-0.296160\pi\)
\(72\) −9.36103e29 + 7.03832e29i −1.79475 + 1.34943i
\(73\) 9.75886e28 + 1.69028e29i 0.150049 + 0.259893i 0.931245 0.364393i \(-0.118723\pi\)
−0.781196 + 0.624286i \(0.785390\pi\)
\(74\) −9.14039e28 + 5.27720e28i −0.113046 + 0.0652674i
\(75\) −7.14900e29 + 4.33405e28i −0.713288 + 0.0432428i
\(76\) 1.53283e30 1.23731
\(77\) 4.35404e28 2.55518e28i 0.0285129 0.0167328i
\(78\) 1.04562e30 6.91278e29i 0.557009 0.368247i
\(79\) −1.63639e30 + 2.83430e30i −0.710972 + 1.23144i 0.253521 + 0.967330i \(0.418411\pi\)
−0.964493 + 0.264109i \(0.914922\pi\)
\(80\) −2.34337e30 + 1.35295e30i −0.832533 + 0.480663i
\(81\) −9.53526e29 + 3.29863e30i −0.277698 + 0.960668i
\(82\) −5.63979e30 + 9.76840e30i −1.34971 + 2.33777i
\(83\) 6.04233e30i 1.19112i 0.803311 + 0.595560i \(0.203070\pi\)
−0.803311 + 0.595560i \(0.796930\pi\)
\(84\) −1.37701e31 + 9.32928e29i −2.24113 + 0.151838i
\(85\) −7.22020e30 −0.972403
\(86\) 1.28579e31 + 7.42349e30i 1.43613 + 0.829149i
\(87\) −5.58995e30 2.79079e30i −0.518919 0.259071i
\(88\) 4.80067e29 + 8.31500e29i 0.0371175 + 0.0642894i
\(89\) −8.39869e30 4.84898e30i −0.541965 0.312904i 0.203910 0.978990i \(-0.434635\pi\)
−0.745875 + 0.666086i \(0.767968\pi\)
\(90\) −6.98674e30 + 1.64108e31i −0.377046 + 0.885624i
\(91\) 8.19521e30 5.81590e28i 0.370594 0.00262999i
\(92\) 7.69419e30i 0.292117i
\(93\) −1.77548e31 + 1.07638e30i −0.567006 + 0.0343745i
\(94\) 6.15333e31 + 1.06579e32i 1.65602 + 2.86830i
\(95\) 1.12164e31 6.47578e30i 0.254844 0.147134i
\(96\) −3.13876e30 5.17738e31i −0.0603141 0.994878i
\(97\) 9.92863e31 1.61637 0.808187 0.588926i \(-0.200449\pi\)
0.808187 + 0.588926i \(0.200449\pi\)
\(98\) −1.13852e32 6.35953e31i −1.57298 0.878634i
\(99\) 2.58998e30 + 1.10266e30i 0.0304181 + 0.0129502i
\(100\) 8.02590e31 1.39013e32i 0.802590 1.39013i
\(101\) 5.15074e31 2.97378e31i 0.439266 0.253610i −0.264020 0.964517i \(-0.585049\pi\)
0.703286 + 0.710907i \(0.251715\pi\)
\(102\) 2.01098e32 4.02799e32i 1.46489 2.93417i
\(103\) −3.52428e31 + 6.10423e31i −0.219621 + 0.380395i −0.954692 0.297595i \(-0.903816\pi\)
0.735071 + 0.677990i \(0.237149\pi\)
\(104\) 1.55864e32i 0.832173i
\(105\) −9.68199e31 + 6.50012e31i −0.443543 + 0.297778i
\(106\) −3.73102e32 −1.46870
\(107\) 1.51250e32 + 8.73242e31i 0.512336 + 0.295797i 0.733793 0.679373i \(-0.237748\pi\)
−0.221458 + 0.975170i \(0.571081\pi\)
\(108\) −4.98847e32 5.85980e32i −1.45609 1.71042i
\(109\) 1.89737e32 + 3.28634e32i 0.477889 + 0.827728i 0.999679 0.0253458i \(-0.00806868\pi\)
−0.521789 + 0.853074i \(0.674735\pi\)
\(110\) 1.26631e31 + 7.31103e30i 0.0275585 + 0.0159109i
\(111\) −2.12197e31 3.20968e31i −0.0399550 0.0604358i
\(112\) 5.44776e32 9.59237e32i 0.888648 1.56472i
\(113\) 4.93733e32i 0.698613i 0.937009 + 0.349306i \(0.113583\pi\)
−0.937009 + 0.349306i \(0.886417\pi\)
\(114\) 4.88695e31 + 8.06100e32i 0.0600565 + 0.990630i
\(115\) 3.25057e31 + 5.63015e31i 0.0347371 + 0.0601665i
\(116\) 1.21268e33 7.00140e32i 1.12828 0.651414i
\(117\) 2.74617e32 + 3.65243e32i 0.222717 + 0.296216i
\(118\) 3.53762e33 2.50380
\(119\) 2.53867e33 1.48982e33i 1.56984 0.921261i
\(120\) −1.22313e33 1.85009e33i −0.661563 1.00068i
\(121\) −1.05453e33 + 1.82651e33i −0.499454 + 0.865079i
\(122\) −9.80103e32 + 5.65863e32i −0.406925 + 0.234938i
\(123\) −3.67905e33 1.83677e33i −1.34046 0.669226i
\(124\) 1.99326e33 3.45242e33i 0.637993 1.10504i
\(125\) 3.25425e33i 0.915991i
\(126\) −9.29631e32 7.21178e33i −0.230347 1.78696i
\(127\) 6.28263e33 1.37177 0.685886 0.727709i \(-0.259415\pi\)
0.685886 + 0.727709i \(0.259415\pi\)
\(128\) −4.51147e33 2.60470e33i −0.868877 0.501646i
\(129\) −2.41768e33 + 4.84262e33i −0.411116 + 0.823465i
\(130\) 1.18684e33 + 2.05567e33i 0.178361 + 0.308930i
\(131\) 1.10005e34 + 6.35115e33i 1.46242 + 0.844329i 0.999123 0.0418745i \(-0.0133330\pi\)
0.463297 + 0.886203i \(0.346666\pi\)
\(132\) −5.26272e32 + 3.47926e32i −0.0619480 + 0.0409547i
\(133\) −2.60753e33 + 4.59132e33i −0.272022 + 0.478973i
\(134\) 5.37043e33i 0.496973i
\(135\) −6.12587e33 2.18038e33i −0.503300 0.179139i
\(136\) 2.79908e34 + 4.84814e34i 2.04358 + 3.53959i
\(137\) −1.14754e34 + 6.62535e33i −0.745145 + 0.430209i −0.823937 0.566682i \(-0.808227\pi\)
0.0787923 + 0.996891i \(0.474894\pi\)
\(138\) −4.04629e33 + 2.45304e32i −0.233879 + 0.0141788i
\(139\) 2.21769e34 1.14199 0.570997 0.820952i \(-0.306557\pi\)
0.570997 + 0.820952i \(0.306557\pi\)
\(140\) −1.85475e32 2.61354e34i −0.00851602 1.20000i
\(141\) −3.74256e34 + 2.47426e34i −1.53343 + 1.01377i
\(142\) −3.94829e34 + 6.83864e34i −1.44476 + 2.50240i
\(143\) 3.24430e32 1.87310e32i 0.0106107 0.00612609i
\(144\) 6.10590e34 7.43067e33i 1.78628 0.217384i
\(145\) 5.91577e33 1.02464e34i 0.154926 0.268339i
\(146\) 2.30463e34i 0.540699i
\(147\) 2.06301e34 4.28327e34i 0.433934 0.900944i
\(148\) 8.62350e33 0.162741
\(149\) −7.94726e34 4.58835e34i −1.34660 0.777457i −0.358830 0.933403i \(-0.616824\pi\)
−0.987766 + 0.155946i \(0.950157\pi\)
\(150\) 7.56640e34 + 3.77753e34i 1.15194 + 0.575106i
\(151\) −4.57946e34 7.93186e34i −0.626879 1.08579i −0.988174 0.153334i \(-0.950999\pi\)
0.361296 0.932451i \(-0.382335\pi\)
\(152\) −8.69657e34 5.02097e34i −1.07115 0.618430i
\(153\) 1.51011e35 + 6.42915e34i 1.67473 + 0.713002i
\(154\) −5.96098e33 + 4.23033e31i −0.0595643 + 0.000422710i
\(155\) 3.36837e34i 0.303468i
\(156\) −1.02228e35 + 6.19750e33i −0.830949 + 0.0503760i
\(157\) 1.09583e34 + 1.89803e34i 0.0804171 + 0.139286i 0.903429 0.428737i \(-0.141041\pi\)
−0.823012 + 0.568024i \(0.807708\pi\)
\(158\) 3.34671e35 1.93223e35i 2.21873 1.28099i
\(159\) −8.23091e33 1.35768e35i −0.0493280 0.813664i
\(160\) 9.82234e34 0.532470
\(161\) −2.30465e34 1.30887e34i −0.113081 0.0642219i
\(162\) 2.92256e35 2.81020e35i 1.29874 1.24881i
\(163\) 7.67183e34 1.32880e35i 0.308956 0.535128i −0.669178 0.743102i \(-0.733354\pi\)
0.978134 + 0.207974i \(0.0666870\pi\)
\(164\) 7.98129e35 4.60800e35i 2.91455 1.68272i
\(165\) −2.38106e33 + 4.76926e33i −0.00788909 + 0.0158019i
\(166\) 3.56736e35 6.17885e35i 1.07304 1.85857i
\(167\) 3.15070e35i 0.860881i 0.902619 + 0.430441i \(0.141642\pi\)
−0.902619 + 0.430441i \(0.858358\pi\)
\(168\) 8.11808e35 + 3.98124e35i 2.01607 + 0.988713i
\(169\) −3.81965e35 −0.862653
\(170\) 7.38333e35 + 4.26277e35i 1.51729 + 0.876009i
\(171\) −2.92254e35 + 3.55663e34i −0.546793 + 0.0665428i
\(172\) −6.06537e35 1.05055e36i −1.03372 1.79045i
\(173\) 1.79368e34 + 1.03558e34i 0.0278616 + 0.0160859i 0.513866 0.857870i \(-0.328213\pi\)
−0.486004 + 0.873956i \(0.661546\pi\)
\(174\) 4.06858e35 + 6.15412e35i 0.576308 + 0.871722i
\(175\) 2.79856e35 + 4.76878e35i 0.361682 + 0.616309i
\(176\) 5.04254e34i 0.0594904i
\(177\) 7.80425e34 + 1.28731e36i 0.0840928 + 1.38711i
\(178\) 5.72563e35 + 9.91708e35i 0.563771 + 0.976481i
\(179\) −1.27837e35 + 7.38066e34i −0.115082 + 0.0664427i −0.556436 0.830890i \(-0.687832\pi\)
0.441354 + 0.897333i \(0.354498\pi\)
\(180\) 1.16480e36 8.75781e35i 0.959157 0.721166i
\(181\) −1.77680e36 −1.33900 −0.669502 0.742811i \(-0.733492\pi\)
−0.669502 + 0.742811i \(0.733492\pi\)
\(182\) −8.41471e35 4.77894e35i −0.580626 0.329753i
\(183\) −2.27534e35 3.44167e35i −0.143823 0.217546i
\(184\) 2.52032e35 4.36532e35i 0.146006 0.252889i
\(185\) 6.31017e34 3.64318e34i 0.0335192 0.0193523i
\(186\) 1.87914e36 + 9.38162e35i 0.915697 + 0.457162i
\(187\) 6.72756e34 1.16525e35i 0.0300879 0.0521138i
\(188\) 1.00552e37i 4.12918i
\(189\) 2.60379e36 4.97381e35i 0.982240 0.187629i
\(190\) −1.52931e36 −0.530196
\(191\) −1.66274e36 9.59984e35i −0.530018 0.306006i 0.211006 0.977485i \(-0.432326\pi\)
−0.741024 + 0.671479i \(0.765659\pi\)
\(192\) 5.56994e33 1.11566e34i 0.00163317 0.00327124i
\(193\) 3.10201e36 + 5.37284e36i 0.837001 + 1.44973i 0.892391 + 0.451264i \(0.149027\pi\)
−0.0553895 + 0.998465i \(0.517640\pi\)
\(194\) −1.01530e37 5.86181e36i −2.52211 1.45614i
\(195\) −7.21858e35 + 4.77231e35i −0.165157 + 0.109188i
\(196\) 5.45800e36 + 9.15108e36i 1.15063 + 1.92919i
\(197\) 5.62956e36i 1.09399i 0.837135 + 0.546997i \(0.184229\pi\)
−0.837135 + 0.546997i \(0.815771\pi\)
\(198\) −1.99749e35 2.65668e35i −0.0357966 0.0476097i
\(199\) 3.75648e36 + 6.50641e36i 0.621057 + 1.07570i 0.989289 + 0.145969i \(0.0466298\pi\)
−0.368232 + 0.929734i \(0.620037\pi\)
\(200\) −9.10703e36 + 5.25795e36i −1.38962 + 0.802299i
\(201\) 1.95425e36 1.18476e35i 0.275324 0.0166914i
\(202\) −7.02282e36 −0.913881
\(203\) 3.42300e34 + 4.82337e36i 0.00411595 + 0.579981i
\(204\) −3.06848e37 + 2.02862e37i −3.41068 + 2.25485i
\(205\) 3.89349e36 6.74372e36i 0.400200 0.693167i
\(206\) 7.20781e36 4.16143e36i 0.685374 0.395701i
\(207\) −1.78528e35 1.46699e36i −0.0157102 0.129093i
\(208\) 4.09293e36 7.08917e36i 0.333443 0.577540i
\(209\) 2.41357e35i 0.0182104i
\(210\) 1.37384e37 9.30781e35i 0.960344 0.0650637i
\(211\) −1.35038e36 −0.0874854 −0.0437427 0.999043i \(-0.513928\pi\)
−0.0437427 + 0.999043i \(0.513928\pi\)
\(212\) 2.64002e37 + 1.52422e37i 1.58575 + 0.915532i
\(213\) −2.57562e37 1.28588e37i −1.43486 0.716353i
\(214\) −1.03111e37 1.78594e37i −0.532950 0.923096i
\(215\) −8.87657e36 5.12489e36i −0.425824 0.245849i
\(216\) 9.10778e36 + 4.95861e37i 0.405651 + 2.20851i
\(217\) 6.95032e36 + 1.18434e37i 0.287507 + 0.489915i
\(218\) 4.48078e37i 1.72207i
\(219\) 8.38634e36 5.08419e35i 0.299548 0.0181600i
\(220\) −5.97349e35 1.03464e36i −0.0198365 0.0343578i
\(221\) 1.89162e37 1.09213e37i 0.584194 0.337285i
\(222\) 2.74933e35 + 4.53500e36i 0.00789912 + 0.130296i
\(223\) 2.27147e37 0.607335 0.303668 0.952778i \(-0.401789\pi\)
0.303668 + 0.952778i \(0.401789\pi\)
\(224\) −3.45360e37 + 2.02675e37i −0.859613 + 0.504465i
\(225\) −1.20769e37 + 2.83668e37i −0.279921 + 0.657491i
\(226\) 2.91497e37 5.04888e37i 0.629360 1.09008i
\(227\) −4.23842e37 + 2.44705e37i −0.852688 + 0.492300i −0.861557 0.507661i \(-0.830510\pi\)
0.00886898 + 0.999961i \(0.497177\pi\)
\(228\) 2.94733e37 5.90351e37i 0.552677 1.10701i
\(229\) 4.99506e37 8.65170e37i 0.873319 1.51263i 0.0147766 0.999891i \(-0.495296\pi\)
0.858543 0.512742i \(-0.171370\pi\)
\(230\) 7.67648e36i 0.125175i
\(231\) −1.46897e35 2.16821e36i −0.00223471 0.0329845i
\(232\) −9.17355e37 −1.30236
\(233\) −9.73254e37 5.61909e37i −1.28983 0.744682i −0.311204 0.950343i \(-0.600732\pi\)
−0.978623 + 0.205661i \(0.934066\pi\)
\(234\) −6.51839e36 5.35627e37i −0.0806653 0.662840i
\(235\) −4.24802e37 7.35779e37i −0.491022 0.850475i
\(236\) −2.50317e38 1.44521e38i −2.70333 1.56077i
\(237\) 7.76950e37 + 1.17521e38i 0.784187 + 1.18616i
\(238\) −3.47561e38 + 2.46653e36i −3.27944 + 0.0232732i
\(239\) 6.23210e37i 0.549880i 0.961461 + 0.274940i \(0.0886580\pi\)
−0.961461 + 0.274940i \(0.911342\pi\)
\(240\) 7.04860e36 + 1.16266e38i 0.0581732 + 0.959565i
\(241\) 6.64622e37 + 1.15116e38i 0.513218 + 0.888920i 0.999882 + 0.0153311i \(0.00488023\pi\)
−0.486664 + 0.873589i \(0.661786\pi\)
\(242\) 2.15672e38 1.24518e38i 1.55865 0.899886i
\(243\) 1.08708e38 + 1.00150e38i 0.735464 + 0.677564i
\(244\) 9.24678e37 0.585805
\(245\) 7.85991e37 + 4.39038e37i 0.466402 + 0.260522i
\(246\) 2.67775e38 + 4.05036e38i 1.48870 + 2.25181i
\(247\) −1.95905e37 + 3.39318e37i −0.102069 + 0.176789i
\(248\) −2.26176e38 + 1.30583e38i −1.10464 + 0.637762i
\(249\) 2.32713e38 + 1.16182e38i 1.06569 + 0.532046i
\(250\) −1.92129e38 + 3.32778e38i −0.825189 + 1.42927i
\(251\) 1.26991e38i 0.511676i −0.966720 0.255838i \(-0.917649\pi\)
0.966720 0.255838i \(-0.0823513\pi\)
\(252\) −2.28840e38 + 5.48275e38i −0.865215 + 2.07295i
\(253\) −1.21151e36 −0.00429932
\(254\) −6.42457e38 3.70923e38i −2.14045 1.23579i
\(255\) −1.38830e38 + 2.78077e38i −0.434351 + 0.870004i
\(256\) 3.06938e38 + 5.31631e38i 0.902009 + 1.56232i
\(257\) 6.32721e37 + 3.65302e37i 0.174696 + 0.100861i 0.584798 0.811179i \(-0.301174\pi\)
−0.410102 + 0.912039i \(0.634507\pi\)
\(258\) 5.33137e38 3.52465e38i 1.38332 0.914535i
\(259\) −1.46696e37 + 2.58301e37i −0.0357785 + 0.0629984i
\(260\) 1.93943e38i 0.444733i
\(261\) −2.14967e38 + 1.61628e38i −0.463579 + 0.348553i
\(262\) −7.49936e38 1.29893e39i −1.52126 2.63490i
\(263\) 6.07962e38 3.51007e38i 1.16034 0.669921i 0.208952 0.977926i \(-0.432995\pi\)
0.951385 + 0.308005i \(0.0996614\pi\)
\(264\) 4.12549e37 2.50106e36i 0.0740990 0.00449222i
\(265\) 2.57575e38 0.435482
\(266\) 5.37713e38 3.15558e38i 0.855942 0.502311i
\(267\) −3.48242e38 + 2.30228e38i −0.522037 + 0.345126i
\(268\) −2.19396e38 + 3.80005e38i −0.309793 + 0.536578i
\(269\) −4.60292e38 + 2.65750e38i −0.612346 + 0.353538i −0.773883 0.633329i \(-0.781688\pi\)
0.161537 + 0.986867i \(0.448355\pi\)
\(270\) 4.97699e38 + 5.84632e38i 0.623945 + 0.732929i
\(271\) 6.66666e38 1.15470e39i 0.787771 1.36446i −0.139559 0.990214i \(-0.544569\pi\)
0.927330 0.374245i \(-0.122098\pi\)
\(272\) 2.94010e39i 3.27537i
\(273\) 1.55338e38 3.16746e38i 0.163183 0.332743i
\(274\) 1.56463e39 1.55025
\(275\) 2.18887e37 + 1.26374e37i 0.0204596 + 0.0118123i
\(276\) 2.96331e38 + 1.47944e38i 0.261356 + 0.130482i
\(277\) 9.92305e38 + 1.71872e39i 0.825979 + 1.43064i 0.901169 + 0.433468i \(0.142710\pi\)
−0.0751904 + 0.997169i \(0.523956\pi\)
\(278\) −2.26780e39 1.30931e39i −1.78192 1.02879i
\(279\) −2.99933e38 + 7.04498e38i −0.222514 + 0.522652i
\(280\) −8.45570e38 + 1.48887e39i −0.592408 + 1.04311i
\(281\) 4.66055e38i 0.308415i 0.988038 + 0.154208i \(0.0492825\pi\)
−0.988038 + 0.154208i \(0.950718\pi\)
\(282\) 5.28791e39 3.20577e38i 3.30596 0.200423i
\(283\) −7.24392e38 1.25468e39i −0.427947 0.741227i 0.568743 0.822515i \(-0.307430\pi\)
−0.996691 + 0.0812884i \(0.974097\pi\)
\(284\) 5.58752e39 3.22596e39i 3.11979 1.80121i
\(285\) −3.37376e37 5.56500e38i −0.0178072 0.293730i
\(286\) −4.42346e37 −0.0220753
\(287\) 2.25286e37 + 3.17452e39i 0.0106322 + 1.49819i
\(288\) −2.05435e39 8.74620e38i −0.917054 0.390427i
\(289\) 2.73862e39 4.74342e39i 1.15655 2.00321i
\(290\) −1.20989e39 + 6.98528e38i −0.483478 + 0.279136i
\(291\) 1.90908e39 3.82388e39i 0.721998 1.44616i
\(292\) −9.41501e38 + 1.63073e39i −0.337051 + 0.583789i
\(293\) 1.62845e39i 0.551941i −0.961166 0.275971i \(-0.911001\pi\)
0.961166 0.275971i \(-0.0889993\pi\)
\(294\) −4.63844e39 + 3.16205e39i −1.48873 + 1.01487i
\(295\) −2.44224e39 −0.742395
\(296\) −4.89257e38 2.82472e38i −0.140886 0.0813408i
\(297\) 9.22675e37 7.85476e37i 0.0251736 0.0214304i
\(298\) 5.41788e39 + 9.38404e39i 1.40078 + 2.42622i
\(299\) −1.70323e38 9.83362e37i −0.0417383 0.0240976i
\(300\) −3.81067e39 5.76400e39i −0.885240 1.33901i
\(301\) 4.17853e39 2.96538e37i 0.920363 0.00653155i
\(302\) 1.08148e40i 2.25895i
\(303\) −1.54929e38 2.55554e39i −0.0306937 0.506291i
\(304\) 2.63697e39 + 4.56737e39i 0.495596 + 0.858398i
\(305\) 6.76625e38 3.90650e38i 0.120657 0.0696611i
\(306\) −1.16466e40 1.54900e40i −1.97085 2.62125i
\(307\) 9.73037e39 1.56284 0.781421 0.624004i \(-0.214495\pi\)
0.781421 + 0.624004i \(0.214495\pi\)
\(308\) 4.23519e38 + 2.40528e38i 0.0645746 + 0.0366736i
\(309\) 1.67332e39 + 2.53105e39i 0.242238 + 0.366408i
\(310\) −1.98867e39 + 3.44447e39i −0.273385 + 0.473517i
\(311\) 2.04144e39 1.17863e39i 0.266545 0.153890i −0.360771 0.932654i \(-0.617487\pi\)
0.627317 + 0.778764i \(0.284153\pi\)
\(312\) 6.00291e39 + 2.99696e39i 0.744541 + 0.371713i
\(313\) 3.52059e39 6.09784e39i 0.414864 0.718566i −0.580550 0.814225i \(-0.697162\pi\)
0.995414 + 0.0956587i \(0.0304958\pi\)
\(314\) 2.58788e39i 0.289781i
\(315\) 6.41781e38 + 4.97874e39i 0.0682996 + 0.529847i
\(316\) −3.15746e40 −3.19407
\(317\) 1.07788e39 + 6.22312e38i 0.103662 + 0.0598494i 0.550935 0.834548i \(-0.314271\pi\)
−0.447273 + 0.894398i \(0.647605\pi\)
\(318\) −7.17401e39 + 1.43695e40i −0.656036 + 1.31404i
\(319\) 1.10243e38 + 1.90946e38i 0.00958736 + 0.0166058i
\(320\) 2.04501e37 + 1.18069e37i 0.00169160 + 0.000976643i
\(321\) 6.27141e39 4.14612e39i 0.493497 0.326258i
\(322\) 1.58397e39 + 2.69910e39i 0.118591 + 0.202080i
\(323\) 1.40726e40i 1.00261i
\(324\) −3.21601e40 + 7.94521e39i −2.18071 + 0.538748i
\(325\) 2.05151e39 + 3.55333e39i 0.132416 + 0.229351i
\(326\) −1.56903e40 + 9.05881e39i −0.964162 + 0.556659i
\(327\) 1.63051e40 9.88493e38i 0.954027 0.0578375i
\(328\) −6.03761e40 −3.36421
\(329\) 3.01184e40 + 1.71050e40i 1.59845 + 0.907800i
\(330\) 5.25060e38 3.47125e38i 0.0265452 0.0175494i
\(331\) −1.71316e39 + 2.96727e39i −0.0825180 + 0.142925i −0.904331 0.426832i \(-0.859630\pi\)
0.821813 + 0.569757i \(0.192963\pi\)
\(332\) −5.04844e40 + 2.91472e40i −2.31712 + 1.33779i
\(333\) −1.64418e39 + 2.00091e38i −0.0719187 + 0.00875225i
\(334\) 1.86015e40 3.22188e40i 0.775542 1.34328i
\(335\) 3.70754e39i 0.147356i
\(336\) −2.64688e40 3.94256e40i −1.00301 1.49400i
\(337\) 2.68032e40 0.968519 0.484260 0.874924i \(-0.339089\pi\)
0.484260 + 0.874924i \(0.339089\pi\)
\(338\) 3.90595e40 + 2.25510e40i 1.34604 + 0.777139i
\(339\) 1.90155e40 + 9.49349e39i 0.625046 + 0.312055i
\(340\) −3.48290e40 6.03256e40i −1.09214 1.89164i
\(341\) 5.43612e38 + 3.13855e38i 0.0162637 + 0.00938985i
\(342\) 3.19855e40 + 1.36175e40i 0.913137 + 0.388760i
\(343\) −3.66951e40 + 7.81347e38i −0.999773 + 0.0212881i
\(344\) 7.94712e40i 2.06669i
\(345\) 2.79340e39 1.69349e38i 0.0693470 0.00420413i
\(346\) −1.22280e39 2.11795e39i −0.0289826 0.0501994i
\(347\) −1.64920e40 + 9.52169e39i −0.373253 + 0.215498i −0.674879 0.737929i \(-0.735804\pi\)
0.301626 + 0.953426i \(0.402471\pi\)
\(348\) −3.64760e39 6.01670e40i −0.0788386 1.30044i
\(349\) 2.01349e40 0.415663 0.207832 0.978165i \(-0.433359\pi\)
0.207832 + 0.978165i \(0.433359\pi\)
\(350\) −4.63328e38 6.52878e40i −0.00913692 1.28749i
\(351\) 1.93472e40 3.55362e39i 0.364505 0.0669510i
\(352\) −9.15216e38 + 1.58520e39i −0.0164756 + 0.0285366i
\(353\) −2.10638e40 + 1.21612e40i −0.362361 + 0.209209i −0.670116 0.742257i \(-0.733756\pi\)
0.307755 + 0.951466i \(0.400422\pi\)
\(354\) 6.80213e40 1.36247e41i 1.11839 2.24013i
\(355\) 2.72575e40 4.72113e40i 0.428383 0.741980i
\(356\) 9.35627e40i 1.40573i
\(357\) −8.56499e39 1.26420e41i −0.123037 1.81603i
\(358\) 1.74300e40 0.239425
\(359\) 9.00944e40 + 5.20160e40i 1.18355 + 0.683323i 0.956833 0.290638i \(-0.0938675\pi\)
0.226717 + 0.973961i \(0.427201\pi\)
\(360\) −9.47722e40 + 1.15334e40i −1.19081 + 0.144917i
\(361\) 2.89776e40 + 5.01906e40i 0.348295 + 0.603264i
\(362\) 1.81695e41 + 1.04901e41i 2.08932 + 1.20627i
\(363\) 5.00690e40 + 7.57341e40i 0.550887 + 0.833270i
\(364\) 4.00182e40 + 6.81914e40i 0.421343 + 0.717972i
\(365\) 1.59103e40i 0.160322i
\(366\) 2.94804e39 + 4.86278e40i 0.0284339 + 0.469015i
\(367\) 1.55899e40 + 2.70026e40i 0.143942 + 0.249315i 0.928978 0.370136i \(-0.120689\pi\)
−0.785036 + 0.619450i \(0.787355\pi\)
\(368\) −2.29263e40 + 1.32365e40i −0.202660 + 0.117006i
\(369\) −1.41481e41 + 1.06376e41i −1.19751 + 0.900374i
\(370\) −8.60365e39 −0.0697357
\(371\) −9.05651e40 + 5.31482e40i −0.703037 + 0.412578i
\(372\) −9.46392e40 1.43151e41i −0.703694 1.06440i
\(373\) 1.08461e41 1.87860e41i 0.772558 1.33811i −0.163598 0.986527i \(-0.552310\pi\)
0.936157 0.351583i \(-0.114357\pi\)
\(374\) −1.37591e40 + 7.94383e39i −0.0938956 + 0.0542106i
\(375\) −1.25333e41 6.25728e40i −0.819532 0.409152i
\(376\) −3.29369e41 + 5.70483e41i −2.06384 + 3.57468i
\(377\) 3.57928e40i 0.214948i
\(378\) −2.95627e41 1.02865e41i −1.70167 0.592103i
\(379\) 1.24011e41 0.684277 0.342139 0.939649i \(-0.388849\pi\)
0.342139 + 0.939649i \(0.388849\pi\)
\(380\) 1.08212e41 + 6.24761e40i 0.572449 + 0.330504i
\(381\) 1.20802e41 2.41967e41i 0.612739 1.22732i
\(382\) 1.13354e41 + 1.96335e41i 0.551344 + 0.954956i
\(383\) 1.53102e41 + 8.83933e40i 0.714167 + 0.412324i 0.812602 0.582819i \(-0.198050\pi\)
−0.0984351 + 0.995143i \(0.531384\pi\)
\(384\) −1.87063e41 + 1.23670e41i −0.836928 + 0.553306i
\(385\) 4.11523e39 2.92045e37i 0.0176613 0.000125337i
\(386\) 7.32563e41i 3.01612i
\(387\) 1.40020e41 + 1.86228e41i 0.553114 + 0.735647i
\(388\) 4.78940e41 + 8.29549e41i 1.81541 + 3.14438i
\(389\) −4.30794e41 + 2.48719e41i −1.56703 + 0.904723i −0.570513 + 0.821289i \(0.693255\pi\)
−0.996513 + 0.0834340i \(0.973411\pi\)
\(390\) 1.01992e41 6.18324e39i 0.356068 0.0215865i
\(391\) −7.06385e40 −0.236708
\(392\) −9.90710e39 6.97972e41i −0.0318691 2.24523i
\(393\) 4.56124e41 3.01550e41i 1.40865 0.931277i
\(394\) 3.32366e41 5.75675e41i 0.985546 1.70702i
\(395\) −2.31044e41 + 1.33393e41i −0.657872 + 0.379823i
\(396\) 3.28076e39 + 2.69586e40i 0.00897123 + 0.0737181i
\(397\) −2.86529e41 + 4.96283e41i −0.752524 + 1.30341i 0.194072 + 0.980987i \(0.437831\pi\)
−0.946596 + 0.322422i \(0.895503\pi\)
\(398\) 8.87121e41i 2.23797i
\(399\) 1.26691e41 + 1.88707e41i 0.307029 + 0.457323i
\(400\) 5.52286e41 1.28589
\(401\) −4.32036e41 2.49436e41i −0.966519 0.558020i −0.0683457 0.997662i \(-0.521772\pi\)
−0.898173 + 0.439642i \(0.855105\pi\)
\(402\) −2.06835e41 1.03263e41i −0.444639 0.221986i
\(403\) 5.09500e40 + 8.82479e40i 0.105260 + 0.182316i
\(404\) 4.96926e41 + 2.86900e41i 0.986710 + 0.569678i
\(405\) −2.01763e41 + 1.94006e41i −0.385088 + 0.370283i
\(406\) 2.81269e41 4.95255e41i 0.516066 0.908684i
\(407\) 1.35784e39i 0.00239518i
\(408\) 2.40541e42 1.45827e41i 4.07968 0.247329i
\(409\) −4.21816e41 7.30607e41i −0.687940 1.19155i −0.972503 0.232889i \(-0.925182\pi\)
0.284564 0.958657i \(-0.408151\pi\)
\(410\) −7.96291e41 + 4.59739e41i −1.24891 + 0.721057i
\(411\) 3.45169e40 + 5.69354e41i 0.0520670 + 0.858842i
\(412\) −6.80021e41 −0.986658
\(413\) 8.58705e41 5.03932e41i 1.19851 0.703350i
\(414\) −6.83544e40 + 1.60554e41i −0.0917827 + 0.215584i
\(415\) −2.46277e41 + 4.26564e41i −0.318166 + 0.551080i
\(416\) −2.57335e41 + 1.48573e41i −0.319894 + 0.184691i
\(417\) 4.26418e41 8.54114e41i 0.510103 1.02174i
\(418\) 1.42496e40 2.46810e40i 0.0164052 0.0284147i
\(419\) 1.30626e42i 1.44746i −0.690084 0.723729i \(-0.742427\pi\)
0.690084 0.723729i \(-0.257573\pi\)
\(420\) −1.01014e42 4.95387e41i −1.07743 0.528392i
\(421\) −1.06771e42 −1.09633 −0.548163 0.836371i \(-0.684673\pi\)
−0.548163 + 0.836371i \(0.684673\pi\)
\(422\) 1.38089e41 + 7.97254e40i 0.136508 + 0.0788130i
\(423\) 2.33310e41 + 1.91715e42i 0.222069 + 1.82478i
\(424\) −9.98550e41 1.72954e42i −0.915200 1.58517i
\(425\) 1.27624e42 + 7.36838e41i 1.12644 + 0.650353i
\(426\) 1.87463e42 + 2.83556e42i 1.59354 + 2.41038i
\(427\) −1.57299e41 + 2.76970e41i −0.128789 + 0.226771i
\(428\) 1.68495e42i 1.32888i
\(429\) −9.75848e38 1.60966e40i −0.000741422 0.0122297i
\(430\) 6.05141e41 + 1.04814e42i 0.442957 + 0.767224i
\(431\) 3.87834e41 2.23916e41i 0.273533 0.157924i −0.356959 0.934120i \(-0.616186\pi\)
0.630492 + 0.776196i \(0.282853\pi\)
\(432\) 8.87860e41 2.49448e42i 0.603399 1.69528i
\(433\) 2.68627e41 0.175931 0.0879656 0.996124i \(-0.471963\pi\)
0.0879656 + 0.996124i \(0.471963\pi\)
\(434\) −1.15069e40 1.62144e42i −0.00726310 1.02345i
\(435\) −2.80879e41 4.24856e41i −0.170880 0.258472i
\(436\) −1.83051e42 + 3.17054e42i −1.07347 + 1.85930i
\(437\) 1.09735e41 6.33554e40i 0.0620357 0.0358163i
\(438\) −8.87598e41 4.43134e41i −0.483761 0.241518i
\(439\) 2.39701e41 4.15174e41i 0.125961 0.218171i −0.796147 0.605103i \(-0.793132\pi\)
0.922108 + 0.386932i \(0.126465\pi\)
\(440\) 7.82673e40i 0.0396586i
\(441\) −1.25297e42 1.61813e42i −0.612242 0.790671i
\(442\) −2.57914e42 −1.21540
\(443\) −2.93703e42 1.69570e42i −1.33490 0.770705i −0.348854 0.937177i \(-0.613429\pi\)
−0.986046 + 0.166472i \(0.946762\pi\)
\(444\) 1.65813e41 3.32123e41i 0.0726926 0.145603i
\(445\) −3.95275e41 6.84637e41i −0.167163 0.289534i
\(446\) −2.32279e42 1.34106e42i −0.947657 0.547130i
\(447\) −3.29524e42 + 2.17853e42i −1.29708 + 0.857520i
\(448\) −9.62663e39 + 6.83174e37i −0.00365617 + 2.59467e-5i
\(449\) 4.12504e42i 1.51177i −0.654702 0.755887i \(-0.727206\pi\)
0.654702 0.755887i \(-0.272794\pi\)
\(450\) 2.90973e42 2.18775e42i 1.02909 0.773746i
\(451\) 7.25567e40 + 1.25672e41i 0.0247658 + 0.0428957i
\(452\) −4.12519e42 + 2.38168e42i −1.35903 + 0.784637i
\(453\) −3.93539e42 + 2.38582e41i −1.25146 + 0.0758692i
\(454\) 5.77890e42 1.77399
\(455\) 5.80919e41 + 3.29919e41i 0.172160 + 0.0977745i
\(456\) −3.60594e42 + 2.38394e42i −1.03176 + 0.682115i
\(457\) −2.90458e42 + 5.03089e42i −0.802463 + 1.38991i 0.115528 + 0.993304i \(0.463144\pi\)
−0.917991 + 0.396602i \(0.870189\pi\)
\(458\) −1.02158e43 + 5.89811e42i −2.72537 + 1.57349i
\(459\) 5.37975e42 4.57980e42i 1.38599 1.17989i
\(460\) −3.13604e41 + 5.43178e41i −0.0780290 + 0.135150i
\(461\) 8.18648e41i 0.196735i 0.995150 + 0.0983677i \(0.0313621\pi\)
−0.995150 + 0.0983677i \(0.968638\pi\)
\(462\) −1.12988e41 + 2.30393e41i −0.0262278 + 0.0534807i
\(463\) −2.41135e42 −0.540709 −0.270355 0.962761i \(-0.587141\pi\)
−0.270355 + 0.962761i \(0.587141\pi\)
\(464\) 4.17240e42 + 2.40893e42i 0.903853 + 0.521840i
\(465\) −1.29728e42 6.47671e41i −0.271511 0.135552i
\(466\) 6.63496e42 + 1.14921e43i 1.34172 + 2.32394i
\(467\) −2.09520e42 1.20966e42i −0.409407 0.236371i 0.281128 0.959670i \(-0.409292\pi\)
−0.690535 + 0.723299i \(0.742625\pi\)
\(468\) −1.72694e42 + 4.05633e42i −0.326095 + 0.765948i
\(469\) −7.65016e41 1.30359e42i −0.139606 0.237890i
\(470\) 1.00320e43i 1.76939i
\(471\) 9.41708e41 5.70906e40i 0.160539 0.00973263i
\(472\) 9.46789e42 + 1.63989e43i 1.56020 + 2.70235i
\(473\) 1.65418e41 9.55043e40i 0.0263515 0.0152140i
\(474\) −1.00665e42 1.66047e43i −0.155034 2.55728i
\(475\) −2.64347e42 −0.393620
\(476\) 2.46937e43 + 1.40242e43i 3.55529 + 2.01914i
\(477\) −5.38721e42 2.29355e42i −0.750015 0.319312i
\(478\) 3.67940e42 6.37290e42i 0.495371 0.858007i
\(479\) 2.07397e41 1.19741e41i 0.0270044 0.0155910i −0.486437 0.873716i \(-0.661704\pi\)
0.513441 + 0.858125i \(0.328370\pi\)
\(480\) 1.88864e42 3.78295e42i 0.237842 0.476398i
\(481\) −1.10213e41 + 1.90895e41i −0.0134250 + 0.0232527i
\(482\) 1.56956e43i 1.84937i
\(483\) −9.47233e41 + 6.35936e41i −0.107970 + 0.0724868i
\(484\) −2.03476e43 −2.24382
\(485\) 7.00921e42 + 4.04677e42i 0.747827 + 0.431758i
\(486\) −5.20362e42 1.66593e43i −0.537187 1.71980i
\(487\) 3.21523e42 + 5.56894e42i 0.321180 + 0.556300i 0.980732 0.195359i \(-0.0625872\pi\)
−0.659552 + 0.751659i \(0.729254\pi\)
\(488\) −5.24619e42 3.02889e42i −0.507139 0.292797i
\(489\) −3.64256e42 5.50972e42i −0.340773 0.515451i
\(490\) −5.44544e42 9.13002e42i −0.493055 0.826674i
\(491\) 8.92241e41i 0.0781949i 0.999235 + 0.0390974i \(0.0124483\pi\)
−0.999235 + 0.0390974i \(0.987552\pi\)
\(492\) −2.40068e42 3.95991e43i −0.203654 3.35926i
\(493\) 6.42781e42 + 1.11333e43i 0.527852 + 0.914267i
\(494\) 4.00662e42 2.31323e42i 0.318528 0.183902i
\(495\) 1.37899e41 + 1.83407e41i 0.0106140 + 0.0141167i
\(496\) 1.37162e43 1.02218
\(497\) 1.57718e41 + 2.22241e43i 0.0113810 + 1.60370i
\(498\) −1.69377e43 2.56199e43i −1.18355 1.79023i
\(499\) 1.39859e43 2.42242e43i 0.946413 1.63924i 0.193516 0.981097i \(-0.438011\pi\)
0.752897 0.658138i \(-0.228656\pi\)
\(500\) 2.71897e43 1.56980e43i 1.78190 1.02878i
\(501\) 1.21345e43 + 6.05816e42i 0.770226 + 0.384536i
\(502\) −7.49750e42 + 1.29861e43i −0.460953 + 0.798395i
\(503\) 1.82589e43i 1.08739i −0.839282 0.543697i \(-0.817024\pi\)
0.839282 0.543697i \(-0.182976\pi\)
\(504\) 3.09427e43 2.36106e43i 1.78513 1.36213i
\(505\) 4.84828e42 0.270973
\(506\) 1.23888e41 + 7.15271e40i 0.00670846 + 0.00387313i
\(507\) −7.34442e42 + 1.47109e43i −0.385328 + 0.771812i
\(508\) 3.03063e43 + 5.24921e43i 1.54068 + 2.66854i
\(509\) 7.16830e42 + 4.13862e42i 0.353127 + 0.203878i 0.666062 0.745897i \(-0.267979\pi\)
−0.312934 + 0.949775i \(0.601312\pi\)
\(510\) 3.06142e43 2.02395e43i 1.46150 0.966221i
\(511\) −3.28294e42 5.59415e42i −0.151890 0.258821i
\(512\) 5.01115e43i 2.24708i
\(513\) −4.24968e42 + 1.19397e43i −0.184705 + 0.518936i
\(514\) −4.31344e42 7.47110e42i −0.181725 0.314756i
\(515\) −4.97599e42 + 2.87289e42i −0.203219 + 0.117328i
\(516\) −5.21232e43 + 3.15995e42i −2.06365 + 0.125108i
\(517\) 1.58327e42 0.0607724
\(518\) 3.02510e42 1.77528e42i 0.112580 0.0660680i
\(519\) 7.43728e41 4.91690e41i 0.0268371 0.0177424i
\(520\) −6.35281e42 + 1.10034e43i −0.222286 + 0.385011i
\(521\) −5.00530e42 + 2.88981e42i −0.169835 + 0.0980542i −0.582508 0.812825i \(-0.697929\pi\)
0.412673 + 0.910879i \(0.364595\pi\)
\(522\) 3.15248e43 3.83646e42i 1.03735 0.126242i
\(523\) −2.78139e43 + 4.81751e43i −0.887635 + 1.53743i −0.0449726 + 0.998988i \(0.514320\pi\)
−0.842663 + 0.538442i \(0.819013\pi\)
\(524\) 1.22547e44i 3.79318i
\(525\) 2.37474e43 1.60890e42i 0.712963 0.0483036i
\(526\) −8.28930e43 −2.41405
\(527\) 3.16958e43 + 1.82996e43i 0.895432 + 0.516978i
\(528\) −1.94207e42 9.69580e41i −0.0532257 0.0265730i
\(529\) −1.84864e43 3.20194e43i −0.491544 0.851379i
\(530\) −2.63395e43 1.52071e43i −0.679506 0.392313i
\(531\) 5.10795e43 + 2.17466e43i 1.27860 + 0.544352i
\(532\) −5.09393e43 + 3.61501e41i −1.23728 + 0.00878058i
\(533\) 2.35572e43i 0.555249i
\(534\) 4.92036e43 2.98295e42i 1.12548 0.0682316i
\(535\) 7.11841e42 + 1.23295e43i 0.158024 + 0.273705i
\(536\) 2.48950e43 1.43731e43i 0.536384 0.309681i
\(537\) 3.84519e41 + 6.34262e42i 0.00804136 + 0.132642i
\(538\) 6.27588e43 1.27397
\(539\) −1.44091e42 + 8.59407e41i −0.0283934 + 0.0169347i
\(540\) −1.13328e43 6.17001e43i −0.216790 1.18028i
\(541\) −7.42864e41 + 1.28668e42i −0.0137960 + 0.0238954i −0.872841 0.488005i \(-0.837725\pi\)
0.859045 + 0.511900i \(0.171058\pi\)
\(542\) −1.36346e44 + 7.87192e43i −2.45840 + 1.41936i
\(543\) −3.41643e43 + 6.84312e43i −0.598103 + 1.19800i
\(544\) −5.33626e43 + 9.24267e43i −0.907098 + 1.57114i
\(545\) 3.09336e43i 0.510606i
\(546\) −3.45852e43 + 2.32192e43i −0.554381 + 0.372190i
\(547\) 7.55455e43 1.17601 0.588005 0.808857i \(-0.299913\pi\)
0.588005 + 0.808857i \(0.299913\pi\)
\(548\) −1.10711e44 6.39191e43i −1.67380 0.966367i
\(549\) −1.76302e43 + 2.14553e42i −0.258880 + 0.0315048i
\(550\) −1.49221e42 2.58459e42i −0.0212828 0.0368629i
\(551\) −1.99709e43 1.15302e43i −0.276676 0.159739i
\(552\) −1.19664e43 1.81003e43i −0.161041 0.243591i
\(553\) 5.37121e43 9.45758e43i 0.702215 1.23645i
\(554\) 2.34341e44i 2.97640i
\(555\) −1.89803e41 3.13079e42i −0.00234215 0.0386337i
\(556\) 1.06978e44 + 1.85291e44i 1.28261 + 2.22155i
\(557\) 1.12967e44 6.52216e43i 1.31604 0.759815i 0.332950 0.942944i \(-0.391956\pi\)
0.983089 + 0.183129i \(0.0586226\pi\)
\(558\) 7.22641e43 5.43336e43i 0.818042 0.615065i
\(559\) 3.10076e43 0.341098
\(560\) 7.75561e43 4.55139e43i 0.829101 0.486559i
\(561\) −3.19422e42 4.83157e42i −0.0331864 0.0501976i
\(562\) 2.75156e43 4.76585e43i 0.277842 0.481237i
\(563\) 1.00044e44 5.77603e43i 0.981874 0.566885i 0.0790384 0.996872i \(-0.474815\pi\)
0.902835 + 0.429987i \(0.141482\pi\)
\(564\) −3.87262e44 1.93341e44i −3.69436 1.84441i
\(565\) −2.01238e43 + 3.48555e43i −0.186610 + 0.323218i
\(566\) 1.71071e44i 1.54210i
\(567\) 3.09097e43 1.09845e44i 0.270873 0.962615i
\(568\) −4.22679e44 −3.60112
\(569\) 9.60143e43 + 5.54339e43i 0.795316 + 0.459176i 0.841831 0.539742i \(-0.181478\pi\)
−0.0465148 + 0.998918i \(0.514811\pi\)
\(570\) −2.94055e43 + 5.88992e43i −0.236827 + 0.474364i
\(571\) −1.65973e43 2.87473e43i −0.129975 0.225123i 0.793692 0.608320i \(-0.208156\pi\)
−0.923667 + 0.383197i \(0.874823\pi\)
\(572\) 3.12999e42 + 1.80710e42i 0.0238345 + 0.0137609i
\(573\) −6.89437e43 + 4.55797e43i −0.510529 + 0.337519i
\(574\) 1.85118e44 3.25954e44i 1.33309 2.34729i
\(575\) 1.32691e43i 0.0929302i
\(576\) −3.22583e41 4.29038e41i −0.00219726 0.00292238i
\(577\) 7.32304e43 + 1.26839e44i 0.485153 + 0.840309i 0.999854 0.0170604i \(-0.00543075\pi\)
−0.514702 + 0.857369i \(0.672097\pi\)
\(578\) −5.60098e44 + 3.23373e44i −3.60926 + 2.08381i
\(579\) 2.66573e44 1.61609e43i 1.67093 0.101300i
\(580\) 1.14147e44 0.696010
\(581\) −1.42501e42 2.00799e44i −0.00845281 1.19109i
\(582\) −4.20981e44 + 2.78317e44i −2.42938 + 1.60610i
\(583\) −2.40001e42 + 4.15694e42i −0.0134746 + 0.0233387i
\(584\) 1.06833e44 6.16799e43i 0.583578 0.336929i
\(585\) 4.50005e42 + 3.69776e43i 0.0239179 + 0.196537i
\(586\) −9.61429e43 + 1.66524e44i −0.497228 + 0.861224i
\(587\) 3.15902e44i 1.58980i 0.606739 + 0.794901i \(0.292477\pi\)
−0.606739 + 0.794901i \(0.707523\pi\)
\(588\) 4.57388e44 3.42507e43i 2.24000 0.167738i
\(589\) −6.56515e43 −0.312896
\(590\) 2.49741e44 + 1.44188e44i 1.15840 + 0.668802i
\(591\) 2.16815e44 + 1.08245e44i 0.978790 + 0.488662i
\(592\) 1.48352e43 + 2.56953e43i 0.0651848 + 0.112903i
\(593\) −4.65709e43 2.68877e43i −0.199177 0.114995i 0.397095 0.917778i \(-0.370019\pi\)
−0.596272 + 0.802783i \(0.703352\pi\)
\(594\) −1.40726e43 + 2.58480e42i −0.0585857 + 0.0107608i
\(595\) 2.39942e44 1.70280e42i 0.972379 0.00690068i
\(596\) 8.85337e44i 3.49276i
\(597\) 3.22815e44 1.95706e43i 1.23984 0.0751647i
\(598\) 1.16114e43 + 2.01116e43i 0.0434177 + 0.0752016i
\(599\) −3.49191e42 + 2.01605e42i −0.0127126 + 0.00733961i −0.506343 0.862332i \(-0.669003\pi\)
0.493630 + 0.869672i \(0.335670\pi\)
\(600\) 2.73929e43 + 4.51845e44i 0.0970998 + 1.60166i
\(601\) −2.42981e44 −0.838651 −0.419326 0.907836i \(-0.637733\pi\)
−0.419326 + 0.907836i \(0.637733\pi\)
\(602\) −4.29044e44 2.43666e44i −1.44198 0.818937i
\(603\) 3.30134e43 7.75435e43i 0.108047 0.253786i
\(604\) 4.41811e44 7.65239e44i 1.40814 2.43897i
\(605\) −1.48892e44 + 8.59627e43i −0.462152 + 0.266823i
\(606\) −1.35035e44 + 2.70475e44i −0.408210 + 0.817644i
\(607\) −1.16573e44 + 2.01911e44i −0.343225 + 0.594484i −0.985030 0.172385i \(-0.944853\pi\)
0.641804 + 0.766868i \(0.278186\pi\)
\(608\) 1.91443e44i 0.549012i
\(609\) 1.86424e44 + 9.14254e43i 0.520745 + 0.255382i
\(610\) −9.22550e43 −0.251022
\(611\) 2.22588e44 + 1.28511e44i 0.589986 + 0.340629i
\(612\) 1.91288e44 + 1.57185e45i 0.493930 + 4.05870i
\(613\) 1.53551e44 + 2.65959e44i 0.386266 + 0.669032i 0.991944 0.126678i \(-0.0404315\pi\)
−0.605678 + 0.795710i \(0.707098\pi\)
\(614\) −9.95021e44 5.74475e44i −2.43859 1.40792i
\(615\) −1.84862e44 2.79621e44i −0.441413 0.667679i
\(616\) −1.61497e43 2.75193e43i −0.0375728 0.0640244i
\(617\) 5.42461e44i 1.22972i −0.788637 0.614859i \(-0.789213\pi\)
0.788637 0.614859i \(-0.210787\pi\)
\(618\) −2.16803e43 3.57615e44i −0.0478905 0.789951i
\(619\) 1.49925e44 + 2.59678e44i 0.322719 + 0.558966i 0.981048 0.193765i \(-0.0620698\pi\)
−0.658329 + 0.752730i \(0.728736\pi\)
\(620\) 2.81431e44 1.62485e44i 0.590345 0.340836i
\(621\) −5.99321e43 2.13316e43i −0.122516 0.0436072i
\(622\) −2.78342e44 −0.554539
\(623\) 2.80250e44 + 1.59161e44i 0.544172 + 0.309050i
\(624\) −1.94331e44 2.93944e44i −0.367781 0.556304i
\(625\) −6.10535e43 + 1.05748e44i −0.112624 + 0.195070i
\(626\) −7.20026e44 + 4.15707e44i −1.29467 + 0.747478i
\(627\) 9.29556e42 + 4.64082e42i 0.0162928 + 0.00813418i
\(628\) −1.05722e44 + 1.83116e44i −0.180638 + 0.312875i
\(629\) 7.91703e43i 0.131872i
\(630\) 2.28314e44 5.47013e44i 0.370752 0.888277i
\(631\) −8.84906e44 −1.40096 −0.700482 0.713670i \(-0.747032\pi\)
−0.700482 + 0.713670i \(0.747032\pi\)
\(632\) 1.79139e45 + 1.03426e45i 2.76514 + 1.59646i
\(633\) −2.59650e43 + 5.20080e43i −0.0390777 + 0.0782727i
\(634\) −7.34819e43 1.27274e44i −0.107833 0.186772i
\(635\) 4.43528e44 + 2.56071e44i 0.634660 + 0.366421i
\(636\) 1.09466e45 7.23694e44i 1.52744 1.00981i
\(637\) −2.72330e44 + 3.86549e42i −0.370566 + 0.00525985i
\(638\) 2.60347e43i 0.0345479i
\(639\) −9.90480e44 + 7.44717e44i −1.28183 + 0.963779i
\(640\) −2.12327e44 3.67762e44i −0.267995 0.464181i
\(641\) 5.03542e44 2.90720e44i 0.619879 0.357887i −0.156943 0.987608i \(-0.550164\pi\)
0.776822 + 0.629720i \(0.216831\pi\)
\(642\) −8.86095e44 + 5.37191e43i −1.06395 + 0.0645013i
\(643\) −2.53160e44 −0.296497 −0.148248 0.988950i \(-0.547363\pi\)
−0.148248 + 0.988950i \(0.547363\pi\)
\(644\) −1.81458e42 2.55694e44i −0.00207302 0.292110i
\(645\) −3.68057e44 + 2.43328e44i −0.410166 + 0.271167i
\(646\) 8.30837e44 1.43905e45i 0.903224 1.56443i
\(647\) 7.42108e44 4.28456e44i 0.787044 0.454400i −0.0518771 0.998653i \(-0.516520\pi\)
0.838921 + 0.544254i \(0.183187\pi\)
\(648\) 2.08487e45 + 6.02667e44i 2.15714 + 0.623558i
\(649\) 2.27560e43 3.94146e43i 0.0229711 0.0397870i
\(650\) 4.84481e44i 0.477159i
\(651\) 5.89774e44 3.99574e43i 0.566748 0.0383974i
\(652\) 1.48030e45 1.38800
\(653\) −2.21604e43 1.27943e43i −0.0202753 0.0117059i 0.489828 0.871819i \(-0.337060\pi\)
−0.510103 + 0.860113i \(0.670393\pi\)
\(654\) −1.72571e45 8.61564e44i −1.54072 0.769208i
\(655\) 5.17727e44 + 8.96730e44i 0.451066 + 0.781269i
\(656\) 2.74608e45 + 1.58545e45i 2.33481 + 1.34800i
\(657\) 1.41672e44 3.32765e44i 0.117554 0.276116i
\(658\) −2.07002e45 3.52733e45i −1.67633 2.85648i
\(659\) 1.18837e45i 0.939260i 0.882863 + 0.469630i \(0.155613\pi\)
−0.882863 + 0.469630i \(0.844387\pi\)
\(660\) −5.13336e43 + 3.11208e42i −0.0396003 + 0.00240075i
\(661\) 6.42792e43 + 1.11335e44i 0.0484002 + 0.0838316i 0.889211 0.457498i \(-0.151254\pi\)
−0.840810 + 0.541330i \(0.817921\pi\)
\(662\) 3.50372e44 2.02287e44i 0.257515 0.148676i
\(663\) −5.68978e43 9.38526e44i −0.0408206 0.673333i
\(664\) 3.81900e45 2.67461
\(665\) −3.71216e44 + 2.17849e44i −0.253794 + 0.148939i
\(666\) 1.79946e44 + 7.66103e43i 0.120103 + 0.0511328i
\(667\) 5.78767e43 1.00245e44i 0.0377129 0.0653207i
\(668\) −2.63244e45 + 1.51984e45i −1.67470 + 0.966886i
\(669\) 4.36757e44 8.74825e44i 0.271283 0.543380i
\(670\) 2.18891e44 3.79131e44i 0.132749 0.229928i
\(671\) 1.45598e43i 0.00862176i
\(672\) 1.16518e44 + 1.71981e45i 0.0673728 + 0.994425i
\(673\) 9.46679e44 0.534517 0.267259 0.963625i \(-0.413882\pi\)
0.267259 + 0.963625i \(0.413882\pi\)
\(674\) −2.74088e45 1.58245e45i −1.51123 0.872510i
\(675\) 8.60295e44 + 1.01056e45i 0.463220 + 0.544130i
\(676\) −1.84253e45 3.19136e45i −0.968876 1.67814i
\(677\) −1.31233e45 7.57673e44i −0.673944 0.389102i 0.123626 0.992329i \(-0.460548\pi\)
−0.797569 + 0.603227i \(0.793881\pi\)
\(678\) −1.38402e45 2.09346e45i −0.694171 1.05000i
\(679\) −3.29949e45 + 2.34155e43i −1.61633 + 0.0114706i
\(680\) 4.56345e45i 2.18349i
\(681\) 1.27487e44 + 2.10289e45i 0.0595815 + 0.982795i
\(682\) −3.70596e43 6.41891e43i −0.0169181 0.0293030i
\(683\) 1.04919e45 6.05750e44i 0.467868 0.270123i −0.247479 0.968893i \(-0.579602\pi\)
0.715347 + 0.698770i \(0.246269\pi\)
\(684\) −1.70695e45 2.27025e45i −0.743570 0.988955i
\(685\) −1.08016e45 −0.459662
\(686\) 3.79854e45 + 2.08656e45i 1.57918 + 0.867449i
\(687\) −2.37164e45 3.58733e45i −0.963253 1.45701i
\(688\) 2.08688e45 3.61458e45i 0.828100 1.43431i
\(689\) −6.74821e44 + 3.89608e44i −0.261626 + 0.151050i
\(690\) −2.95649e44 1.47603e44i −0.111993 0.0559127i
\(691\) 1.13309e45 1.96257e45i 0.419388 0.726401i −0.576490 0.817104i \(-0.695578\pi\)
0.995878 + 0.0907034i \(0.0289115\pi\)
\(692\) 1.99818e44i 0.0722666i
\(693\) −8.63304e43 3.60328e43i −0.0305093 0.0127340i
\(694\) 2.24862e45 0.776541
\(695\) 1.56560e45 + 9.03899e44i 0.528352 + 0.305044i
\(696\) −1.76389e45 + 3.53307e45i −0.581733 + 1.16521i
\(697\) 4.23049e45 + 7.32743e45i 1.36354 + 2.36171i
\(698\) −2.05898e45 1.18875e45i −0.648582 0.374459i
\(699\) −4.03549e45 + 2.66792e45i −1.24240 + 0.821370i
\(700\) −2.63439e45 + 4.63861e45i −0.792705 + 1.39579i
\(701\) 2.58309e45i 0.759716i 0.925045 + 0.379858i \(0.124027\pi\)
−0.925045 + 0.379858i \(0.875973\pi\)
\(702\) −2.18823e45 7.78857e44i −0.629071 0.223905i
\(703\) −7.10076e43 1.22989e44i −0.0199535 0.0345605i
\(704\) −3.81096e41 + 2.20026e41i −0.000104682 + 6.04382e-5i
\(705\) −3.65057e45 + 2.21314e44i −0.980244 + 0.0594269i
\(706\) 2.87196e45 0.753881
\(707\) −1.70469e45 + 1.00040e45i −0.437455 + 0.256721i
\(708\) −1.03791e46 + 6.86180e45i −2.60393 + 1.72150i
\(709\) −2.91336e45 + 5.04608e45i −0.714585 + 1.23770i 0.248534 + 0.968623i \(0.420051\pi\)
−0.963119 + 0.269075i \(0.913282\pi\)
\(710\) −5.57466e45 + 3.21853e45i −1.33686 + 0.771834i
\(711\) 6.02010e45 7.32625e44i 1.41153 0.171778i
\(712\) −3.06475e45 + 5.30831e45i −0.702612 + 1.21696i
\(713\) 3.29543e44i 0.0738720i
\(714\) −6.58790e45 + 1.34333e46i −1.44403 + 2.94449i
\(715\) 3.05379e43 0.00654549
\(716\) −1.23333e45 7.12061e44i −0.258505 0.149248i
\(717\) 2.40021e45 + 1.19831e45i 0.491975 + 0.245619i
\(718\) −6.14199e45 1.06382e46i −1.23117 2.13245i
\(719\) 1.17376e45 + 6.77669e44i 0.230100 + 0.132848i 0.610618 0.791925i \(-0.290921\pi\)
−0.380518 + 0.924773i \(0.624254\pi\)
\(720\) 4.61338e45 + 1.96410e45i 0.884503 + 0.376569i
\(721\) 1.15680e45 2.03688e45i 0.216916 0.381944i
\(722\) 6.84328e45i 1.25507i
\(723\) 5.71148e45 3.46256e44i 1.02456 0.0621133i
\(724\) −8.57099e45 1.48454e46i −1.50388 2.60480i
\(725\) −2.09134e45 + 1.20744e45i −0.358936 + 0.207232i
\(726\) −6.48717e44 1.07006e46i −0.108910 1.79647i
\(727\) −4.77767e45 −0.784632 −0.392316 0.919831i \(-0.628326\pi\)
−0.392316 + 0.919831i \(0.628326\pi\)
\(728\) −3.67588e43 5.17970e45i −0.00590554 0.832152i
\(729\) 5.94738e45 2.26107e45i 0.934728 0.355364i
\(730\) 9.39334e44 1.62697e45i 0.144429 0.250158i
\(731\) 9.64488e45 5.56847e45i 1.45084 0.837641i
\(732\) 1.77797e45 3.56128e45i 0.261666 0.524117i
\(733\) 5.87388e44 1.01739e45i 0.0845789 0.146495i −0.820633 0.571456i \(-0.806379\pi\)
0.905212 + 0.424961i \(0.139712\pi\)
\(734\) 3.68169e45i 0.518692i
\(735\) 3.20220e45 2.18296e45i 0.441419 0.300918i
\(736\) 9.60964e44 0.129617
\(737\) −5.98350e43 3.45457e43i −0.00789724 0.00455947i
\(738\) 2.07482e46 2.52498e45i 2.67965 0.326104i
\(739\) 3.73806e45 + 6.47451e45i 0.472428 + 0.818269i 0.999502 0.0315501i \(-0.0100444\pi\)
−0.527074 + 0.849819i \(0.676711\pi\)