Properties

Label 21.33.h.b.11.20
Level $21$
Weight $33$
Character 21.11
Analytic conductor $136.220$
Analytic rank $0$
Dimension $164$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 11.20
Character \(\chi\) \(=\) 21.11
Dual form 21.33.h.b.2.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-65272.0 + 37684.8i) q^{2} +(-3.95790e7 + 1.69270e7i) q^{3} +(6.92806e8 - 1.19998e9i) q^{4} +(3.97688e10 - 2.29605e10i) q^{5} +(1.94551e12 - 2.59639e12i) q^{6} +(3.31510e13 - 2.33200e12i) q^{7} -2.19277e14i q^{8} +(1.27997e15 - 1.33991e15i) q^{9} +O(q^{10})\) \(q+(-65272.0 + 37684.8i) q^{2} +(-3.95790e7 + 1.69270e7i) q^{3} +(6.92806e8 - 1.19998e9i) q^{4} +(3.97688e10 - 2.29605e10i) q^{5} +(1.94551e12 - 2.59639e12i) q^{6} +(3.31510e13 - 2.33200e12i) q^{7} -2.19277e14i q^{8} +(1.27997e15 - 1.33991e15i) q^{9} +(-1.73053e15 + 2.99736e15i) q^{10} +(5.57292e16 + 3.21753e16i) q^{11} +(-7.10859e15 + 5.92209e16i) q^{12} +2.90734e17 q^{13} +(-2.07595e18 + 1.40150e18i) q^{14} +(-1.18536e18 + 1.58192e18i) q^{15} +(1.12390e19 + 1.94665e19i) q^{16} +(-6.44360e19 - 3.72021e19i) q^{17} +(-3.30523e19 + 1.35694e20i) q^{18} +(-1.45412e20 - 2.51860e20i) q^{19} -6.36288e19i q^{20} +(-1.27261e21 + 6.53446e20i) q^{21} -4.85007e21 q^{22} +(2.02673e21 - 1.17014e21i) q^{23} +(3.71170e21 + 8.67876e21i) q^{24} +(-1.05872e22 + 1.83375e22i) q^{25} +(-1.89768e22 + 1.09563e22i) q^{26} +(-2.79795e22 + 7.46983e22i) q^{27} +(2.01689e22 - 4.13960e22i) q^{28} -3.17119e23i q^{29} +(1.77562e22 - 1.47925e23i) q^{30} +(-5.67143e23 + 9.82321e23i) q^{31} +(-6.51571e23 - 3.76185e23i) q^{32} +(-2.75034e24 - 3.30136e23i) q^{33} +5.60782e24 q^{34} +(1.26483e24 - 8.53906e23i) q^{35} +(-7.21082e23 - 2.46423e24i) q^{36} +(-3.41278e24 - 5.91110e24i) q^{37} +(1.89826e25 + 1.09596e25i) q^{38} +(-1.15070e25 + 4.92126e24i) q^{39} +(-5.03472e24 - 8.72039e24i) q^{40} +6.04876e25i q^{41} +(5.84408e25 - 9.06098e25i) q^{42} -9.54238e25 q^{43} +(7.72190e25 - 4.45824e25i) q^{44} +(2.01380e25 - 8.26754e25i) q^{45} +(-8.81927e25 + 1.52754e26i) q^{46} +(-1.73785e25 + 1.00335e25i) q^{47} +(-7.74337e26 - 5.80222e26i) q^{48} +(1.09355e27 - 1.54617e26i) q^{49} -1.59590e27i q^{50} +(3.18003e27 + 3.81715e26i) q^{51} +(2.01422e26 - 3.48874e26i) q^{52} +(1.34525e27 + 7.76681e26i) q^{53} +(-9.88716e26 - 5.93011e27i) q^{54} +2.95504e27 q^{55} +(-5.11355e26 - 7.26925e27i) q^{56} +(1.00185e28 + 7.50699e27i) q^{57} +(1.19506e28 + 2.06990e28i) q^{58} +(1.02919e28 + 5.94204e27i) q^{59} +(1.07704e27 + 2.51836e27i) q^{60} +(-1.83209e28 - 3.17328e28i) q^{61} -8.54908e28i q^{62} +(3.93077e28 - 4.74042e28i) q^{63} -3.98364e28 q^{64} +(1.15622e28 - 6.67541e27i) q^{65} +(1.91961e29 - 8.20972e28i) q^{66} +(-6.38911e28 + 1.10663e29i) q^{67} +(-8.92833e28 + 5.15477e28i) q^{68} +(-6.04092e28 + 8.06193e28i) q^{69} +(-5.03789e28 + 1.03401e29i) q^{70} +5.96566e29i q^{71} +(-2.93811e29 - 2.80669e29i) q^{72} +(4.84591e29 - 8.39336e29i) q^{73} +(4.45517e29 + 2.57220e29i) q^{74} +(1.08630e29 - 9.04989e29i) q^{75} -4.02968e29 q^{76} +(1.92251e30 + 9.36681e29i) q^{77} +(5.65626e29 - 7.54858e29i) q^{78} +(5.04594e29 + 8.73982e29i) q^{79} +(8.93923e29 + 5.16107e29i) q^{80} +(-1.57019e29 - 3.43009e30i) q^{81} +(-2.27947e30 - 3.94815e30i) q^{82} +1.91284e29i q^{83} +(-9.75533e28 + 1.97981e30i) q^{84} -3.41672e30 q^{85} +(6.22851e30 - 3.59603e30i) q^{86} +(5.36788e30 + 1.25513e31i) q^{87} +(7.05529e30 - 1.22201e31i) q^{88} +(2.41127e31 - 1.39215e31i) q^{89} +(1.80116e30 + 6.15529e30i) q^{90} +(9.63813e30 - 6.77993e29i) q^{91} -3.24271e30i q^{92} +(5.81922e30 - 4.84793e31i) q^{93} +(7.56222e29 - 1.30981e30i) q^{94} +(-1.15657e31 - 6.67745e30i) q^{95} +(3.21562e31 + 3.85987e30i) q^{96} -9.02420e30 q^{97} +(-6.55516e31 + 5.13024e31i) q^{98} +(1.14444e32 - 3.34885e31i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 164q + 43046720q^{3} + 176093659134q^{4} + 3915256954876q^{6} - 41868332499126q^{7} + 1232720974221986q^{9} + O(q^{10}) \) \( 164q + 43046720q^{3} + 176093659134q^{4} + 3915256954876q^{6} - 41868332499126q^{7} + 1232720974221986q^{9} - 653609167486978q^{10} - 80283770812252892q^{12} + 930128021838524592q^{13} + 295985739739384604q^{15} - \)\(35\!\cdots\!98\)\(q^{16} - \)\(28\!\cdots\!84\)\(q^{18} - \)\(55\!\cdots\!32\)\(q^{19} - \)\(63\!\cdots\!60\)\(q^{21} - \)\(13\!\cdots\!96\)\(q^{22} + \)\(10\!\cdots\!46\)\(q^{24} + \)\(37\!\cdots\!44\)\(q^{25} - \)\(46\!\cdots\!76\)\(q^{27} + \)\(47\!\cdots\!58\)\(q^{28} - \)\(33\!\cdots\!80\)\(q^{30} + \)\(52\!\cdots\!26\)\(q^{31} - \)\(73\!\cdots\!26\)\(q^{33} - \)\(22\!\cdots\!96\)\(q^{34} - \)\(58\!\cdots\!40\)\(q^{36} - \)\(47\!\cdots\!40\)\(q^{37} + \)\(80\!\cdots\!20\)\(q^{39} - \)\(45\!\cdots\!26\)\(q^{40} + \)\(10\!\cdots\!78\)\(q^{42} - \)\(82\!\cdots\!28\)\(q^{43} + \)\(88\!\cdots\!80\)\(q^{45} + \)\(30\!\cdots\!92\)\(q^{46} - \)\(10\!\cdots\!00\)\(q^{48} + \)\(42\!\cdots\!90\)\(q^{49} + \)\(89\!\cdots\!16\)\(q^{51} + \)\(39\!\cdots\!84\)\(q^{52} + \)\(16\!\cdots\!78\)\(q^{54} + \)\(55\!\cdots\!00\)\(q^{55} - \)\(88\!\cdots\!80\)\(q^{57} + \)\(63\!\cdots\!34\)\(q^{58} + \)\(69\!\cdots\!10\)\(q^{60} - \)\(49\!\cdots\!48\)\(q^{61} + \)\(38\!\cdots\!20\)\(q^{63} - \)\(17\!\cdots\!24\)\(q^{64} + \)\(20\!\cdots\!84\)\(q^{66} + \)\(41\!\cdots\!36\)\(q^{67} - \)\(54\!\cdots\!68\)\(q^{69} - \)\(18\!\cdots\!50\)\(q^{70} + \)\(88\!\cdots\!12\)\(q^{72} + \)\(14\!\cdots\!40\)\(q^{73} - \)\(13\!\cdots\!24\)\(q^{75} - \)\(13\!\cdots\!12\)\(q^{76} - \)\(15\!\cdots\!20\)\(q^{78} + \)\(11\!\cdots\!98\)\(q^{79} + \)\(41\!\cdots\!98\)\(q^{81} - \)\(17\!\cdots\!72\)\(q^{82} + \)\(23\!\cdots\!36\)\(q^{84} - \)\(11\!\cdots\!64\)\(q^{85} + \)\(25\!\cdots\!98\)\(q^{87} - \)\(10\!\cdots\!90\)\(q^{88} - \)\(13\!\cdots\!64\)\(q^{90} + \)\(33\!\cdots\!84\)\(q^{91} - \)\(88\!\cdots\!00\)\(q^{93} - \)\(96\!\cdots\!24\)\(q^{94} + \)\(14\!\cdots\!10\)\(q^{96} - \)\(26\!\cdots\!24\)\(q^{97} - \)\(24\!\cdots\!32\)\(q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −65272.0 + 37684.8i −0.995972 + 0.575025i −0.907054 0.421014i \(-0.861674\pi\)
−0.0889178 + 0.996039i \(0.528341\pi\)
\(3\) −3.95790e7 + 1.69270e7i −0.919443 + 0.393224i
\(4\) 6.92806e8 1.19998e9i 0.161306 0.279391i
\(5\) 3.97688e10 2.29605e10i 0.260629 0.150474i −0.363993 0.931402i \(-0.618587\pi\)
0.624621 + 0.780928i \(0.285253\pi\)
\(6\) 1.94551e12 2.59639e12i 0.689626 0.920342i
\(7\) 3.31510e13 2.33200e12i 0.997535 0.0701715i
\(8\) 2.19277e14i 0.779028i
\(9\) 1.27997e15 1.33991e15i 0.690750 0.723094i
\(10\) −1.73053e15 + 2.99736e15i −0.173053 + 0.299736i
\(11\) 5.57292e16 + 3.21753e16i 1.21283 + 0.700227i 0.963375 0.268159i \(-0.0864153\pi\)
0.249455 + 0.968386i \(0.419749\pi\)
\(12\) −7.10859e15 + 5.92209e16i −0.0384488 + 0.320314i
\(13\) 2.90734e17 0.436921 0.218460 0.975846i \(-0.429897\pi\)
0.218460 + 0.975846i \(0.429897\pi\)
\(14\) −2.07595e18 + 1.40150e18i −0.953166 + 0.643496i
\(15\) −1.18536e18 + 1.58192e18i −0.180463 + 0.240838i
\(16\) 1.12390e19 + 1.94665e19i 0.609267 + 1.05528i
\(17\) −6.44360e19 3.72021e19i −1.32418 0.764513i −0.339784 0.940503i \(-0.610354\pi\)
−0.984392 + 0.175990i \(0.943687\pi\)
\(18\) −3.30523e19 + 1.35694e20i −0.272171 + 1.11738i
\(19\) −1.45412e20 2.51860e20i −0.504129 0.873176i −0.999989 0.00477384i \(-0.998480\pi\)
0.495860 0.868402i \(-0.334853\pi\)
\(20\) 6.36288e19i 0.0970898i
\(21\) −1.27261e21 + 6.53446e20i −0.889583 + 0.456773i
\(22\) −4.85007e21 −1.61059
\(23\) 2.02673e21 1.17014e21i 0.330485 0.190806i −0.325572 0.945517i \(-0.605557\pi\)
0.656056 + 0.754712i \(0.272223\pi\)
\(24\) 3.71170e21 + 8.67876e21i 0.306333 + 0.716272i
\(25\) −1.05872e22 + 1.83375e22i −0.454715 + 0.787590i
\(26\) −1.89768e22 + 1.09563e22i −0.435161 + 0.251240i
\(27\) −2.79795e22 + 7.46983e22i −0.350767 + 0.936463i
\(28\) 2.01689e22 4.13960e22i 0.141304 0.290021i
\(29\) 3.17119e23i 1.26723i −0.773650 0.633614i \(-0.781571\pi\)
0.773650 0.633614i \(-0.218429\pi\)
\(30\) 1.77562e22 1.47925e23i 0.0412487 0.343639i
\(31\) −5.67143e23 + 9.82321e23i −0.779661 + 1.35041i 0.152476 + 0.988307i \(0.451275\pi\)
−0.932137 + 0.362105i \(0.882058\pi\)
\(32\) −6.51571e23 3.76185e23i −0.538967 0.311173i
\(33\) −2.75034e24 3.30136e23i −1.39047 0.166905i
\(34\) 5.60782e24 1.75846
\(35\) 1.26483e24 8.53906e23i 0.249427 0.168392i
\(36\) −7.21082e23 2.46423e24i −0.0906035 0.309629i
\(37\) −3.41278e24 5.91110e24i −0.276618 0.479116i 0.693924 0.720048i \(-0.255880\pi\)
−0.970542 + 0.240932i \(0.922547\pi\)
\(38\) 1.89826e25 + 1.09596e25i 1.00420 + 0.579773i
\(39\) −1.15070e25 + 4.92126e24i −0.401723 + 0.171808i
\(40\) −5.03472e24 8.72039e24i −0.117224 0.203037i
\(41\) 6.04876e25i 0.948691i 0.880339 + 0.474346i \(0.157315\pi\)
−0.880339 + 0.474346i \(0.842685\pi\)
\(42\) 5.84408e25 9.06098e25i 0.623344 0.966465i
\(43\) −9.54238e25 −0.698492 −0.349246 0.937031i \(-0.613562\pi\)
−0.349246 + 0.937031i \(0.613562\pi\)
\(44\) 7.72190e25 4.45824e25i 0.391274 0.225902i
\(45\) 2.01380e25 8.26754e25i 0.0712225 0.292399i
\(46\) −8.81927e25 + 1.52754e26i −0.219436 + 0.380074i
\(47\) −1.73785e25 + 1.00335e25i −0.0306512 + 0.0176965i −0.515247 0.857042i \(-0.672300\pi\)
0.484596 + 0.874738i \(0.338967\pi\)
\(48\) −7.74337e26 5.80222e26i −0.975148 0.730692i
\(49\) 1.09355e27 1.54617e26i 0.990152 0.139997i
\(50\) 1.59590e27i 1.04589i
\(51\) 3.18003e27 + 3.81715e26i 1.51813 + 0.182229i
\(52\) 2.01422e26 3.48874e26i 0.0704781 0.122072i
\(53\) 1.34525e27 + 7.76681e26i 0.347048 + 0.200368i 0.663384 0.748279i \(-0.269119\pi\)
−0.316336 + 0.948647i \(0.602453\pi\)
\(54\) −9.88716e26 5.93011e27i −0.189135 1.13439i
\(55\) 2.95504e27 0.421464
\(56\) −5.11355e26 7.26925e27i −0.0546656 0.777108i
\(57\) 1.00185e28 + 7.50699e27i 0.806871 + 0.604600i
\(58\) 1.19506e28 + 2.06990e28i 0.728687 + 1.26212i
\(59\) 1.02919e28 + 5.94204e27i 0.477379 + 0.275615i 0.719324 0.694675i \(-0.244452\pi\)
−0.241944 + 0.970290i \(0.577785\pi\)
\(60\) 1.07704e27 + 2.51836e27i 0.0381780 + 0.0892685i
\(61\) −1.83209e28 3.17328e28i −0.498506 0.863437i 0.501493 0.865162i \(-0.332784\pi\)
−0.999999 + 0.00172470i \(0.999451\pi\)
\(62\) 8.54908e28i 1.79330i
\(63\) 3.93077e28 4.74042e28i 0.638307 0.769782i
\(64\) −3.98364e28 −0.502806
\(65\) 1.15622e28 6.67541e27i 0.113874 0.0657453i
\(66\) 1.91961e29 8.20972e28i 1.48085 0.633323i
\(67\) −6.38911e28 + 1.10663e29i −0.387475 + 0.671126i −0.992109 0.125377i \(-0.959986\pi\)
0.604634 + 0.796503i \(0.293319\pi\)
\(68\) −8.92833e28 + 5.15477e28i −0.427196 + 0.246642i
\(69\) −6.04092e28 + 8.06193e28i −0.228833 + 0.305389i
\(70\) −5.03789e28 + 1.03401e29i −0.151593 + 0.311141i
\(71\) 5.96566e29i 1.43062i 0.698806 + 0.715311i \(0.253715\pi\)
−0.698806 + 0.715311i \(0.746285\pi\)
\(72\) −2.93811e29 2.80669e29i −0.563311 0.538114i
\(73\) 4.84591e29 8.39336e29i 0.745091 1.29054i −0.205061 0.978749i \(-0.565739\pi\)
0.950152 0.311786i \(-0.100927\pi\)
\(74\) 4.45517e29 + 2.57220e29i 0.551007 + 0.318124i
\(75\) 1.08630e29 9.04989e29i 0.108385 0.902948i
\(76\) −4.02968e29 −0.325277
\(77\) 1.92251e30 + 9.36681e29i 1.25898 + 0.613395i
\(78\) 5.65626e29 7.54858e29i 0.301312 0.402116i
\(79\) 5.04594e29 + 8.73982e29i 0.219234 + 0.379725i 0.954574 0.297974i \(-0.0963107\pi\)
−0.735340 + 0.677699i \(0.762977\pi\)
\(80\) 8.93923e29 + 5.16107e29i 0.317585 + 0.183358i
\(81\) −1.57019e29 3.43009e30i −0.0457291 0.998954i
\(82\) −2.27947e30 3.94815e30i −0.545521 0.944870i
\(83\) 1.91284e29i 0.0377075i 0.999822 + 0.0188538i \(0.00600169\pi\)
−0.999822 + 0.0188538i \(0.993998\pi\)
\(84\) −9.75533e28 + 1.97981e30i −0.0158772 + 0.322222i
\(85\) −3.41672e30 −0.460158
\(86\) 6.22851e30 3.59603e30i 0.695679 0.401650i
\(87\) 5.36788e30 + 1.25513e31i 0.498304 + 1.16514i
\(88\) 7.05529e30 1.22201e31i 0.545497 0.944828i
\(89\) 2.41127e31 1.39215e31i 1.55599 0.898349i 0.558352 0.829604i \(-0.311434\pi\)
0.997634 0.0687453i \(-0.0218996\pi\)
\(90\) 1.80116e30 + 6.15529e30i 0.0972011 + 0.332176i
\(91\) 9.63813e30 6.77993e29i 0.435844 0.0306594i
\(92\) 3.24271e30i 0.123113i
\(93\) 5.81922e30 4.84793e31i 0.185839 1.54821i
\(94\) 7.56222e29 1.30981e30i 0.0203518 0.0352504i
\(95\) −1.15657e31 6.67745e30i −0.262781 0.151717i
\(96\) 3.21562e31 + 3.85987e30i 0.617910 + 0.0741708i
\(97\) −9.02420e30 −0.146913 −0.0734566 0.997298i \(-0.523403\pi\)
−0.0734566 + 0.997298i \(0.523403\pi\)
\(98\) −6.55516e31 + 5.13024e31i −0.905662 + 0.708795i
\(99\) 1.14444e32 3.34885e31i 1.34409 0.393307i
\(100\) 1.46697e31 + 2.54087e31i 0.146697 + 0.254087i
\(101\) 5.54773e31 + 3.20298e31i 0.473122 + 0.273157i 0.717546 0.696511i \(-0.245265\pi\)
−0.244424 + 0.969668i \(0.578599\pi\)
\(102\) −2.21952e32 + 9.49236e31i −1.61680 + 0.691467i
\(103\) −8.29396e31 1.43656e32i −0.516852 0.895214i −0.999808 0.0195695i \(-0.993770\pi\)
0.482957 0.875644i \(-0.339563\pi\)
\(104\) 6.37513e31i 0.340374i
\(105\) −3.56067e31 + 5.52066e31i −0.163119 + 0.252908i
\(106\) −1.17076e32 −0.460867
\(107\) −3.36615e32 + 1.94345e32i −1.14023 + 0.658312i −0.946488 0.322740i \(-0.895396\pi\)
−0.193743 + 0.981052i \(0.562063\pi\)
\(108\) 7.02518e31 + 8.53261e31i 0.205058 + 0.249059i
\(109\) −2.97989e32 + 5.16132e32i −0.750545 + 1.29998i 0.197014 + 0.980401i \(0.436875\pi\)
−0.947559 + 0.319581i \(0.896458\pi\)
\(110\) −1.92882e32 + 1.11360e32i −0.419767 + 0.242352i
\(111\) 2.35131e32 + 1.76187e32i 0.442734 + 0.331747i
\(112\) 4.17980e32 + 6.19125e32i 0.681816 + 1.00993i
\(113\) 4.56082e32i 0.645338i 0.946512 + 0.322669i \(0.104580\pi\)
−0.946512 + 0.322669i \(0.895420\pi\)
\(114\) −9.36826e32 1.12452e32i −1.15128 0.138194i
\(115\) 5.37339e31 9.30698e31i 0.0574226 0.0994589i
\(116\) −3.80535e32 2.19702e32i −0.354052 0.204412i
\(117\) 3.72132e32 3.89557e32i 0.301803 0.315935i
\(118\) −8.95698e32 −0.633942
\(119\) −2.22287e33 1.08302e33i −1.37456 0.669709i
\(120\) 3.46879e32 + 2.59921e32i 0.187620 + 0.140586i
\(121\) 1.01481e33 + 1.75769e33i 0.480636 + 0.832487i
\(122\) 2.39169e33 + 1.38084e33i 0.992995 + 0.573306i
\(123\) −1.02387e33 2.39404e33i −0.373048 0.872267i
\(124\) 7.85841e32 + 1.36112e33i 0.251529 + 0.435661i
\(125\) 2.04153e33i 0.574640i
\(126\) −7.79278e32 + 4.57547e33i −0.193092 + 1.13372i
\(127\) −7.90620e33 −1.72627 −0.863134 0.504975i \(-0.831502\pi\)
−0.863134 + 0.504975i \(0.831502\pi\)
\(128\) 5.39868e33 3.11693e33i 1.03975 0.600299i
\(129\) 3.77678e33 1.61524e33i 0.642224 0.274664i
\(130\) −5.03123e32 + 8.71435e32i −0.0756103 + 0.130961i
\(131\) 1.45628e33 8.40783e32i 0.193599 0.111775i −0.400067 0.916486i \(-0.631013\pi\)
0.593666 + 0.804711i \(0.297680\pi\)
\(132\) −2.30160e33 + 3.07161e33i −0.270924 + 0.361563i
\(133\) −5.40788e33 8.01032e33i −0.564158 0.835648i
\(134\) 9.63090e33i 0.891230i
\(135\) 6.02403e32 + 3.61309e33i 0.0494934 + 0.296851i
\(136\) −8.15757e33 + 1.41293e34i −0.595578 + 1.03157i
\(137\) 2.46730e34 + 1.42450e34i 1.60211 + 0.924979i 0.991064 + 0.133384i \(0.0425845\pi\)
0.611046 + 0.791595i \(0.290749\pi\)
\(138\) 9.04907e32 7.53870e33i 0.0523045 0.435743i
\(139\) 2.57717e34 1.32711 0.663553 0.748129i \(-0.269048\pi\)
0.663553 + 0.748129i \(0.269048\pi\)
\(140\) −1.48383e32 2.10936e33i −0.00681294 0.0968505i
\(141\) 5.17988e32 6.91283e32i 0.0212234 0.0283237i
\(142\) −2.24815e34 3.89391e34i −0.822643 1.42486i
\(143\) 1.62024e34 + 9.35445e33i 0.529910 + 0.305944i
\(144\) 4.04689e34 + 9.85740e33i 1.18392 + 0.288378i
\(145\) −7.28123e33 1.26115e34i −0.190685 0.330276i
\(146\) 7.30468e34i 1.71378i
\(147\) −4.06645e34 + 2.46301e34i −0.855338 + 0.518071i
\(148\) −9.45757e33 −0.178481
\(149\) 1.46475e34 8.45675e33i 0.248190 0.143292i −0.370745 0.928735i \(-0.620898\pi\)
0.618935 + 0.785442i \(0.287564\pi\)
\(150\) 2.70138e34 + 6.31641e34i 0.411269 + 0.961635i
\(151\) −4.68274e34 + 8.11075e34i −0.641016 + 1.11027i 0.344190 + 0.938900i \(0.388154\pi\)
−0.985206 + 0.171373i \(0.945180\pi\)
\(152\) −5.52271e34 + 3.18854e34i −0.680229 + 0.392730i
\(153\) −1.32324e35 + 3.87205e34i −1.46749 + 0.429416i
\(154\) −1.60785e35 + 1.13104e34i −1.60662 + 0.113018i
\(155\) 5.20877e34i 0.469275i
\(156\) −2.06671e33 + 1.72176e34i −0.0167991 + 0.139952i
\(157\) −3.86871e34 + 6.70080e34i −0.283904 + 0.491736i −0.972343 0.233558i \(-0.924963\pi\)
0.688439 + 0.725294i \(0.258296\pi\)
\(158\) −6.58717e34 3.80311e34i −0.436702 0.252130i
\(159\) −6.63906e34 7.96919e33i −0.397880 0.0477596i
\(160\) −3.45496e34 −0.187294
\(161\) 6.44595e34 4.35175e34i 0.316281 0.213526i
\(162\) 1.39511e35 + 2.17972e35i 0.619968 + 0.968634i
\(163\) 1.77463e35 + 3.07375e35i 0.714671 + 1.23785i 0.963086 + 0.269192i \(0.0867568\pi\)
−0.248416 + 0.968654i \(0.579910\pi\)
\(164\) 7.25837e34 + 4.19062e34i 0.265056 + 0.153030i
\(165\) −1.16958e35 + 5.00200e34i −0.387512 + 0.165730i
\(166\) −7.20848e33 1.24855e34i −0.0216828 0.0375556i
\(167\) 2.55133e35i 0.697112i 0.937288 + 0.348556i \(0.113328\pi\)
−0.937288 + 0.348556i \(0.886672\pi\)
\(168\) 1.43286e35 + 2.79054e35i 0.355839 + 0.693011i
\(169\) −3.58253e35 −0.809100
\(170\) 2.23016e35 1.28759e35i 0.458304 0.264602i
\(171\) −5.23592e35 1.27536e35i −0.979615 0.238614i
\(172\) −6.61102e34 + 1.14506e35i −0.112671 + 0.195152i
\(173\) 5.44866e35 3.14579e35i 0.846354 0.488643i −0.0130650 0.999915i \(-0.504159\pi\)
0.859419 + 0.511272i \(0.170825\pi\)
\(174\) −8.23364e35 6.16958e35i −1.16628 0.873912i
\(175\) −3.08212e35 + 6.32596e35i −0.398328 + 0.817556i
\(176\) 1.44647e36i 1.70650i
\(177\) −5.07924e35 6.09687e34i −0.547301 0.0656953i
\(178\) −1.04926e36 + 1.81737e36i −1.03315 + 1.78946i
\(179\) −3.52036e35 2.03248e35i −0.316912 0.182969i 0.333104 0.942890i \(-0.391904\pi\)
−0.650015 + 0.759921i \(0.725237\pi\)
\(180\) −8.52567e34 8.14432e34i −0.0702051 0.0670648i
\(181\) 7.34952e35 0.553862 0.276931 0.960890i \(-0.410683\pi\)
0.276931 + 0.960890i \(0.410683\pi\)
\(182\) −6.03550e35 + 4.07465e35i −0.416458 + 0.281157i
\(183\) 1.26226e36 + 9.45833e35i 0.797871 + 0.597857i
\(184\) −2.56584e35 4.44416e35i −0.148643 0.257457i
\(185\) −2.71444e35 1.56718e35i −0.144189 0.0832477i
\(186\) 1.44710e36 + 3.38364e36i 0.705167 + 1.64883i
\(187\) −2.39398e36 4.14649e36i −1.07067 1.85445i
\(188\) 2.78051e34i 0.0114182i
\(189\) −7.53350e35 + 2.54157e36i −0.284190 + 0.958768i
\(190\) 1.00655e36 0.348963
\(191\) 3.33551e36 1.92576e36i 1.06323 0.613858i 0.136909 0.990584i \(-0.456283\pi\)
0.926325 + 0.376725i \(0.122950\pi\)
\(192\) 1.57668e36 6.74311e35i 0.462301 0.197715i
\(193\) 3.40515e36 5.89789e36i 0.918795 1.59140i 0.117548 0.993067i \(-0.462497\pi\)
0.801247 0.598333i \(-0.204170\pi\)
\(194\) 5.89027e35 3.40075e35i 0.146321 0.0844787i
\(195\) −3.44624e35 + 4.59919e35i −0.0788481 + 0.105227i
\(196\) 5.72083e35 1.41935e36i 0.120604 0.299222i
\(197\) 7.45102e35i 0.144796i −0.997376 0.0723980i \(-0.976935\pi\)
0.997376 0.0723980i \(-0.0230652\pi\)
\(198\) −6.20797e36 + 6.49865e36i −1.11252 + 1.16461i
\(199\) −3.74941e36 + 6.49418e36i −0.619889 + 1.07368i 0.369616 + 0.929185i \(0.379489\pi\)
−0.989505 + 0.144495i \(0.953844\pi\)
\(200\) 4.02099e36 + 2.32152e36i 0.613555 + 0.354236i
\(201\) 6.55559e35 5.46140e36i 0.0923581 0.769426i
\(202\) −4.82815e36 −0.628288
\(203\) −7.39523e35 1.05128e37i −0.0889232 1.26410i
\(204\) 2.66119e36 3.55151e36i 0.295797 0.394757i
\(205\) 1.38883e36 + 2.40552e36i 0.142754 + 0.247256i
\(206\) 1.08273e37 + 6.25112e36i 1.02954 + 0.594405i
\(207\) 1.02629e36 4.21338e36i 0.0903121 0.370770i
\(208\) 3.26756e36 + 5.65958e36i 0.266201 + 0.461074i
\(209\) 1.87146e37i 1.41202i
\(210\) 2.43674e35 4.94528e36i 0.0170333 0.345686i
\(211\) 1.56792e37 1.01579 0.507896 0.861418i \(-0.330423\pi\)
0.507896 + 0.861418i \(0.330423\pi\)
\(212\) 1.86400e36 1.07618e36i 0.111962 0.0646414i
\(213\) −1.00981e37 2.36115e37i −0.562555 1.31537i
\(214\) 1.46477e37 2.53705e37i 0.757092 1.31132i
\(215\) −3.79489e36 + 2.19098e36i −0.182047 + 0.105105i
\(216\) 1.63796e37 + 6.13525e36i 0.729531 + 0.273258i
\(217\) −1.65106e37 + 3.38875e37i −0.682979 + 1.40179i
\(218\) 4.49187e37i 1.72633i
\(219\) −4.97218e36 + 4.14227e37i −0.177599 + 1.47956i
\(220\) 2.04727e36 3.54598e36i 0.0679849 0.117753i
\(221\) −1.87337e37 1.08159e37i −0.578560 0.334032i
\(222\) −2.19871e37 2.63922e36i −0.631713 0.0758277i
\(223\) 5.29713e37 1.41633 0.708163 0.706049i \(-0.249524\pi\)
0.708163 + 0.706049i \(0.249524\pi\)
\(224\) −2.24775e37 1.09514e37i −0.559474 0.272586i
\(225\) 1.10193e37 + 3.76573e37i 0.255407 + 0.872829i
\(226\) −1.71874e37 2.97694e37i −0.371085 0.642739i
\(227\) −4.83722e37 2.79277e37i −0.973155 0.561851i −0.0729581 0.997335i \(-0.523244\pi\)
−0.900197 + 0.435484i \(0.856577\pi\)
\(228\) 1.59491e37 6.82104e36i 0.299073 0.127907i
\(229\) 1.74168e37 + 3.01668e37i 0.304510 + 0.527426i 0.977152 0.212542i \(-0.0681741\pi\)
−0.672642 + 0.739968i \(0.734841\pi\)
\(230\) 8.09981e36i 0.132078i
\(231\) −9.19463e37 4.53057e36i −1.39876 0.0689224i
\(232\) −6.95369e37 −0.987206
\(233\) 5.13118e37 2.96249e37i 0.680021 0.392610i −0.119842 0.992793i \(-0.538239\pi\)
0.799863 + 0.600183i \(0.204905\pi\)
\(234\) −9.60943e36 + 3.94509e37i −0.118917 + 0.488206i
\(235\) −4.60749e35 + 7.98042e35i −0.00532573 + 0.00922443i
\(236\) 1.42606e37 8.23336e36i 0.154009 0.0889170i
\(237\) −3.47652e37 2.60501e37i −0.350890 0.262927i
\(238\) 1.85905e38 1.30775e37i 1.75412 0.123393i
\(239\) 5.40828e37i 0.477192i −0.971119 0.238596i \(-0.923313\pi\)
0.971119 0.238596i \(-0.0766871\pi\)
\(240\) −4.41167e37 5.29555e36i −0.364102 0.0437050i
\(241\) 9.69676e37 1.67953e38i 0.748780 1.29692i −0.199628 0.979872i \(-0.563973\pi\)
0.948408 0.317053i \(-0.102693\pi\)
\(242\) −1.32477e38 7.64855e37i −0.957401 0.552756i
\(243\) 6.42758e37 + 1.33102e38i 0.434858 + 0.900499i
\(244\) −5.07714e37 −0.321649
\(245\) 3.99392e37 3.12574e37i 0.236996 0.185480i
\(246\) 1.57049e38 + 1.17679e38i 0.873121 + 0.654242i
\(247\) −4.22761e37 7.32244e37i −0.220264 0.381509i
\(248\) 2.15400e38 + 1.24362e38i 1.05201 + 0.607378i
\(249\) −3.23786e36 7.57081e36i −0.0148275 0.0346699i
\(250\) −7.69347e37 1.33255e38i −0.330432 0.572325i
\(251\) 2.31615e38i 0.933226i −0.884462 0.466613i \(-0.845474\pi\)
0.884462 0.466613i \(-0.154526\pi\)
\(252\) −2.96512e37 8.00102e37i −0.112107 0.302508i
\(253\) 1.50598e38 0.534429
\(254\) 5.16054e38 2.97944e38i 1.71931 0.992647i
\(255\) 1.35230e38 5.78349e37i 0.423089 0.180945i
\(256\) −1.49374e38 + 2.58723e38i −0.438970 + 0.760318i
\(257\) 2.95662e38 1.70700e38i 0.816329 0.471308i −0.0328198 0.999461i \(-0.510449\pi\)
0.849149 + 0.528153i \(0.177115\pi\)
\(258\) −1.85648e38 + 2.47757e38i −0.481698 + 0.642852i
\(259\) −1.26922e38 1.88000e38i −0.309556 0.458524i
\(260\) 1.84991e37i 0.0424205i
\(261\) −4.24910e38 4.05904e38i −0.916324 0.875337i
\(262\) −6.33695e37 + 1.09759e38i −0.128546 + 0.222649i
\(263\) 1.34209e38 + 7.74857e37i 0.256148 + 0.147887i 0.622576 0.782559i \(-0.286086\pi\)
−0.366428 + 0.930446i \(0.619420\pi\)
\(264\) −7.23913e37 + 6.03085e38i −0.130024 + 1.08322i
\(265\) 7.13321e37 0.120601
\(266\) 6.54850e38 + 3.19055e38i 1.04240 + 0.507878i
\(267\) −7.18708e38 + 9.59154e38i −1.07739 + 1.43783i
\(268\) 8.85283e37 + 1.53335e38i 0.125004 + 0.216514i
\(269\) 1.82939e38 + 1.05620e38i 0.243371 + 0.140510i 0.616725 0.787179i \(-0.288459\pi\)
−0.373354 + 0.927689i \(0.621792\pi\)
\(270\) −1.75479e38 2.13132e38i −0.219990 0.267195i
\(271\) 5.43251e38 + 9.40939e38i 0.641936 + 1.11187i 0.985000 + 0.172554i \(0.0552020\pi\)
−0.343064 + 0.939312i \(0.611465\pi\)
\(272\) 1.67246e39i 1.86317i
\(273\) −3.69991e38 + 1.89979e38i −0.388677 + 0.199574i
\(274\) −2.14727e39 −2.12754
\(275\) −1.18003e39 + 6.81289e38i −1.10298 + 0.636808i
\(276\) 5.48893e37 + 1.28343e38i 0.0484108 + 0.113195i
\(277\) 6.67550e37 1.15623e38i 0.0555658 0.0962428i −0.836905 0.547349i \(-0.815637\pi\)
0.892470 + 0.451106i \(0.148970\pi\)
\(278\) −1.68217e39 + 9.71201e38i −1.32176 + 0.763119i
\(279\) 5.90291e38 + 2.01726e39i 0.437924 + 1.49657i
\(280\) −1.87242e38 2.77349e38i −0.131182 0.194311i
\(281\) 7.51907e37i 0.0497580i −0.999690 0.0248790i \(-0.992080\pi\)
0.999690 0.0248790i \(-0.00792005\pi\)
\(282\) −7.75927e36 + 6.46417e37i −0.00485104 + 0.0404136i
\(283\) −1.16085e39 + 2.01065e39i −0.685793 + 1.18783i 0.287393 + 0.957813i \(0.407211\pi\)
−0.973187 + 0.230016i \(0.926122\pi\)
\(284\) 7.15864e38 + 4.13304e38i 0.399703 + 0.230769i
\(285\) 5.70788e38 + 6.85145e37i 0.301271 + 0.0361630i
\(286\) −1.41008e39 −0.703701
\(287\) 1.41057e38 + 2.00523e39i 0.0665711 + 0.946353i
\(288\) −1.33805e39 + 3.91538e38i −0.597298 + 0.174781i
\(289\) 1.58404e39 + 2.74364e39i 0.668961 + 1.15868i
\(290\) 9.50520e38 + 5.48783e38i 0.379834 + 0.219297i
\(291\) 3.57169e38 1.52753e38i 0.135078 0.0577698i
\(292\) −6.71455e38 1.16299e39i −0.240376 0.416343i
\(293\) 1.68686e39i 0.571737i 0.958269 + 0.285868i \(0.0922820\pi\)
−0.958269 + 0.285868i \(0.907718\pi\)
\(294\) 1.72607e39 3.14009e39i 0.553989 1.00782i
\(295\) 5.45729e38 0.165892
\(296\) −1.29617e39 + 7.48343e38i −0.373245 + 0.215493i
\(297\) −3.96271e39 + 3.26263e39i −1.08116 + 0.890153i
\(298\) −6.37382e38 + 1.10398e39i −0.164793 + 0.285431i
\(299\) 5.89241e38 3.40199e38i 0.144396 0.0833669i
\(300\) −1.01070e39 7.57335e38i −0.234792 0.175933i
\(301\) −3.16340e39 + 2.22529e38i −0.696771 + 0.0490142i
\(302\) 7.05873e39i 1.47440i
\(303\) −2.73790e39 3.28644e38i −0.542420 0.0651094i
\(304\) 3.26856e39 5.66131e39i 0.614298 1.06399i
\(305\) −1.45720e39 8.41317e38i −0.259850 0.150024i
\(306\) 7.17786e39 7.51396e39i 1.21465 1.27153i
\(307\) 1.85464e38 0.0297882 0.0148941 0.999889i \(-0.495259\pi\)
0.0148941 + 0.999889i \(0.495259\pi\)
\(308\) 2.45592e39 1.65803e39i 0.374458 0.252802i
\(309\) 5.71432e39 + 4.28182e39i 0.827235 + 0.619859i
\(310\) −1.96291e39 3.39987e39i −0.269845 0.467385i
\(311\) 1.24583e40 + 7.19283e39i 1.62665 + 0.939147i 0.985083 + 0.172080i \(0.0550487\pi\)
0.641567 + 0.767067i \(0.278285\pi\)
\(312\) 1.07912e39 + 2.52321e39i 0.133843 + 0.312954i
\(313\) 1.94232e39 + 3.36420e39i 0.228882 + 0.396435i 0.957477 0.288510i \(-0.0931597\pi\)
−0.728595 + 0.684945i \(0.759826\pi\)
\(314\) 5.83166e39i 0.653007i
\(315\) 4.74797e38 2.78774e39i 0.0505288 0.296676i
\(316\) 1.39834e39 0.141456
\(317\) −7.85153e39 + 4.53308e39i −0.755103 + 0.435959i −0.827535 0.561415i \(-0.810257\pi\)
0.0724319 + 0.997373i \(0.476924\pi\)
\(318\) 4.63376e39 1.98175e39i 0.423740 0.181224i
\(319\) 1.02034e40 1.76728e40i 0.887347 1.53693i
\(320\) −1.58425e39 + 9.14665e38i −0.131046 + 0.0756593i
\(321\) 1.00332e40 1.33898e40i 0.789512 1.05365i
\(322\) −2.56745e39 + 5.26962e39i −0.192224 + 0.394535i
\(323\) 2.16385e40i 1.54165i
\(324\) −4.22481e39 2.18797e39i −0.286475 0.148361i
\(325\) −3.07805e39 + 5.33134e39i −0.198674 + 0.344114i
\(326\) −2.31667e40 1.33753e40i −1.42358 0.821906i
\(327\) 3.05754e39 2.54721e40i 0.178899 1.49039i
\(328\) 1.32635e40 0.739058
\(329\) −5.52718e38 + 3.73148e38i −0.0293339 + 0.0198037i
\(330\) 5.74907e39 7.67244e39i 0.290653 0.387891i
\(331\) 9.08986e39 + 1.57441e40i 0.437834 + 0.758351i 0.997522 0.0703527i \(-0.0224125\pi\)
−0.559688 + 0.828703i \(0.689079\pi\)
\(332\) 2.29535e38 + 1.32522e38i 0.0105351 + 0.00608247i
\(333\) −1.22886e40 2.99325e39i −0.537520 0.130929i
\(334\) −9.61463e39 1.66530e40i −0.400856 0.694304i
\(335\) 5.86790e39i 0.233220i
\(336\) −2.70231e40 1.74292e40i −1.02402 0.660464i
\(337\) 2.54958e40 0.921278 0.460639 0.887588i \(-0.347620\pi\)
0.460639 + 0.887588i \(0.347620\pi\)
\(338\) 2.33839e40 1.35007e40i 0.805841 0.465253i
\(339\) −7.72010e39 1.80513e40i −0.253763 0.593352i
\(340\) −2.36713e39 + 4.09998e39i −0.0742265 + 0.128564i
\(341\) −6.32129e40 + 3.64960e40i −1.89119 + 1.09188i
\(342\) 3.89821e40 1.14069e40i 1.11288 0.325650i
\(343\) 3.58918e40 7.67586e39i 0.977887 0.209132i
\(344\) 2.09243e40i 0.544145i
\(345\) −5.51340e38 + 4.59316e39i −0.0136872 + 0.114027i
\(346\) −2.37097e40 + 4.10663e40i −0.561963 + 0.973349i
\(347\) −2.63062e40 1.51879e40i −0.595370 0.343737i 0.171848 0.985124i \(-0.445026\pi\)
−0.767218 + 0.641386i \(0.778360\pi\)
\(348\) 1.87801e40 + 2.25427e39i 0.405910 + 0.0487234i
\(349\) 3.47026e39 0.0716400 0.0358200 0.999358i \(-0.488596\pi\)
0.0358200 + 0.999358i \(0.488596\pi\)
\(350\) −3.72165e39 5.29057e40i −0.0733916 1.04331i
\(351\) −8.13458e39 + 2.17174e40i −0.153257 + 0.409160i
\(352\) −2.42077e40 4.19289e40i −0.435783 0.754799i
\(353\) 1.80615e39 + 1.04278e39i 0.0310712 + 0.0179389i 0.515455 0.856917i \(-0.327623\pi\)
−0.484384 + 0.874856i \(0.660956\pi\)
\(354\) 3.54508e40 1.51615e40i 0.582873 0.249281i
\(355\) 1.36975e40 + 2.37247e40i 0.215272 + 0.372861i
\(356\) 3.85795e40i 0.579638i
\(357\) 1.06311e41 + 5.23839e39i 1.52717 + 0.0752500i
\(358\) 3.06374e40 0.420847
\(359\) −8.23632e40 + 4.75524e40i −1.08199 + 0.624686i −0.931432 0.363916i \(-0.881439\pi\)
−0.150555 + 0.988602i \(0.548106\pi\)
\(360\) −1.81288e40 4.41581e39i −0.227787 0.0554843i
\(361\) −6.89818e38 + 1.19480e39i −0.00829123 + 0.0143608i
\(362\) −4.79718e40 + 2.76965e40i −0.551631 + 0.318484i
\(363\) −6.99175e40 5.23902e40i −0.769271 0.576426i
\(364\) 5.86378e39 1.20352e40i 0.0617384 0.126716i
\(365\) 4.45058e40i 0.448468i
\(366\) −1.18034e41 1.41682e40i −1.13844 0.136653i
\(367\) −5.83040e40 + 1.00985e41i −0.538321 + 0.932399i 0.460674 + 0.887569i \(0.347608\pi\)
−0.998995 + 0.0448292i \(0.985726\pi\)
\(368\) 4.55569e40 + 2.63023e40i 0.402707 + 0.232503i
\(369\) 8.10478e40 + 7.74226e40i 0.685993 + 0.655309i
\(370\) 2.36236e40 0.191478
\(371\) 4.64077e40 + 2.26106e40i 0.360253 + 0.175521i
\(372\) −5.41424e40 4.05697e40i −0.402578 0.301658i
\(373\) −1.49346e40 2.58674e40i −0.106378 0.184252i 0.807922 0.589289i \(-0.200592\pi\)
−0.914300 + 0.405037i \(0.867259\pi\)
\(374\) 3.12519e41 + 1.80433e41i 2.13271 + 1.23132i
\(375\) −3.45570e40 8.08017e40i −0.225962 0.528348i
\(376\) 2.20012e39 + 3.81072e39i 0.0137861 + 0.0238782i
\(377\) 9.21974e40i 0.553678i
\(378\) −4.66060e40 1.94283e41i −0.268270 1.11832i
\(379\) −1.96613e41 −1.08489 −0.542444 0.840092i \(-0.682501\pi\)
−0.542444 + 0.840092i \(0.682501\pi\)
\(380\) −1.60256e40 + 9.25236e39i −0.0847765 + 0.0489458i
\(381\) 3.12919e41 1.33828e41i 1.58720 0.678810i
\(382\) −1.45144e41 + 2.51396e41i −0.705967 + 1.22277i
\(383\) −3.90469e40 + 2.25437e40i −0.182140 + 0.105159i −0.588298 0.808644i \(-0.700202\pi\)
0.406158 + 0.913803i \(0.366868\pi\)
\(384\) −1.60914e41 + 2.14748e41i −0.719937 + 0.960794i
\(385\) 9.79627e40 6.89118e39i 0.420426 0.0295748i
\(386\) 5.13289e41i 2.11332i
\(387\) −1.22140e41 + 1.27859e41i −0.482484 + 0.505075i
\(388\) −6.25202e39 + 1.08288e40i −0.0236980 + 0.0410462i
\(389\) 2.66748e41 + 1.54007e41i 0.970304 + 0.560205i 0.899329 0.437273i \(-0.144056\pi\)
0.0709748 + 0.997478i \(0.477389\pi\)
\(390\) 5.16233e39 4.30069e40i 0.0180224 0.150143i
\(391\) −1.74126e41 −0.583493
\(392\) −3.39039e40 2.39791e41i −0.109062 0.771356i
\(393\) −4.34061e40 + 5.79278e40i −0.134051 + 0.178898i
\(394\) 2.80790e40 + 4.86343e40i 0.0832612 + 0.144213i
\(395\) 4.01342e40 + 2.31715e40i 0.114278 + 0.0659782i
\(396\) 3.91020e40 1.60531e41i 0.106924 0.438970i
\(397\) −3.26546e40 5.65594e40i −0.0857622 0.148545i 0.819954 0.572430i \(-0.193999\pi\)
−0.905716 + 0.423886i \(0.860666\pi\)
\(398\) 5.65184e41i 1.42581i
\(399\) 3.49629e41 + 2.25501e41i 0.847308 + 0.546490i
\(400\) −4.75956e41 −1.10817
\(401\) −1.12905e41 + 6.51856e40i −0.252582 + 0.145828i −0.620946 0.783853i \(-0.713251\pi\)
0.368364 + 0.929682i \(0.379918\pi\)
\(402\) 1.63022e41 + 3.81181e41i 0.350453 + 0.819435i
\(403\) −1.64888e41 + 2.85594e41i −0.340650 + 0.590023i
\(404\) 7.68699e40 4.43809e40i 0.152635 0.0881240i
\(405\) −8.50012e40 1.32805e41i −0.162235 0.253475i
\(406\) 4.44444e41 + 6.58324e41i 0.815456 + 1.20788i
\(407\) 4.39228e41i 0.774781i
\(408\) 8.37013e40 6.97308e41i 0.141961 1.18267i
\(409\) −2.64519e41 + 4.58161e41i −0.431404 + 0.747214i −0.996994 0.0774726i \(-0.975315\pi\)
0.565590 + 0.824686i \(0.308648\pi\)
\(410\) −1.81303e41 1.04675e41i −0.284357 0.164174i
\(411\) −1.21766e42 1.46161e41i −1.83677 0.220477i
\(412\) −2.29844e41 −0.333486
\(413\) 3.55044e41 + 1.72984e41i 0.495543 + 0.241437i
\(414\) 9.17922e40 + 3.13691e41i 0.123254 + 0.421209i
\(415\) 4.39197e39 + 7.60712e39i 0.00567401 + 0.00982767i
\(416\) −1.89434e41 1.09370e41i −0.235486 0.135958i
\(417\) −1.02002e42 + 4.36237e41i −1.22020 + 0.521850i
\(418\) 7.05257e41 + 1.22154e42i 0.811945 + 1.40633i
\(419\) 1.19728e42i 1.32670i −0.748309 0.663350i \(-0.769134\pi\)
0.748309 0.663350i \(-0.230866\pi\)
\(420\) 4.15779e40 + 8.09746e40i 0.0443480 + 0.0863695i
\(421\) 1.46347e42 1.50269 0.751344 0.659911i \(-0.229406\pi\)
0.751344 + 0.659911i \(0.229406\pi\)
\(422\) −1.02341e42 + 5.90868e41i −1.01170 + 0.584106i
\(423\) −8.80011e39 + 3.61283e40i −0.00837611 + 0.0343876i
\(424\) 1.70308e41 2.94983e41i 0.156093 0.270360i
\(425\) 1.36439e42 7.87730e41i 1.20425 0.695271i
\(426\) 1.54892e42 + 1.16062e42i 1.31666 + 0.986593i
\(427\) −6.81358e41 1.00925e42i −0.557865 0.826328i
\(428\) 5.38572e41i 0.424760i
\(429\) −7.99617e41 9.59820e40i −0.607526 0.0729244i
\(430\) 1.65134e41 2.86020e41i 0.120876 0.209363i
\(431\) 6.27164e41 + 3.62093e41i 0.442328 + 0.255378i 0.704585 0.709620i \(-0.251133\pi\)
−0.262256 + 0.964998i \(0.584467\pi\)
\(432\) −1.76858e42 + 2.94871e41i −1.20194 + 0.200398i
\(433\) −7.99787e41 −0.523803 −0.261901 0.965095i \(-0.584350\pi\)
−0.261901 + 0.965095i \(0.584350\pi\)
\(434\) −1.99365e41 2.83411e42i −0.125838 1.78888i
\(435\) 5.01658e41 + 3.75899e41i 0.305196 + 0.228688i
\(436\) 4.12897e41 + 7.15159e41i 0.242135 + 0.419391i
\(437\) −5.89421e41 3.40303e41i −0.333214 0.192381i
\(438\) −1.23646e42 2.89112e42i −0.673900 1.57572i
\(439\) 5.04348e41 + 8.73557e41i 0.265032 + 0.459049i 0.967572 0.252595i \(-0.0812842\pi\)
−0.702540 + 0.711644i \(0.747951\pi\)
\(440\) 6.47973e41i 0.328333i
\(441\) 1.19254e42 1.66316e42i 0.582716 0.812676i
\(442\) 1.63039e42 0.768306
\(443\) 1.97412e42 1.13976e42i 0.897249 0.518027i 0.0209425 0.999781i \(-0.493333\pi\)
0.876307 + 0.481754i \(0.160000\pi\)
\(444\) 3.74321e41 1.60088e41i 0.164103 0.0701830i
\(445\) 6.39289e41 1.10728e42i 0.270357 0.468272i
\(446\) −3.45755e42 + 1.99622e42i −1.41062 + 0.814422i
\(447\) −4.36587e41 + 5.82649e41i −0.171850 + 0.229343i
\(448\) −1.32062e42 + 9.28986e40i −0.501567 + 0.0352826i
\(449\) 4.69032e42i 1.71894i 0.511186 + 0.859470i \(0.329206\pi\)
−0.511186 + 0.859470i \(0.670794\pi\)
\(450\) −2.13836e42 2.04271e42i −0.756276 0.722448i
\(451\) −1.94621e42 + 3.37093e42i −0.664300 + 1.15060i
\(452\) 5.47287e41 + 3.15976e41i 0.180302 + 0.104097i
\(453\) 4.80476e41 4.00280e42i 0.152792 1.27290i
\(454\) 4.20980e42 1.29231
\(455\) 3.67730e41 2.48260e41i 0.108980 0.0735739i
\(456\) 1.64611e42 2.19682e42i 0.471001 0.628576i
\(457\) 5.46342e41 + 9.46292e41i 0.150940 + 0.261436i 0.931573 0.363553i \(-0.118437\pi\)
−0.780633 + 0.624990i \(0.785103\pi\)
\(458\) −2.27366e42 1.31270e42i −0.606566 0.350201i
\(459\) 4.58182e42 3.77236e42i 1.18042 0.971875i
\(460\) −7.44543e40 1.28959e41i −0.0185253 0.0320867i
\(461\) 4.30657e42i 1.03494i −0.855700 0.517472i \(-0.826873\pi\)
0.855700 0.517472i \(-0.173127\pi\)
\(462\) 6.17225e42 3.16926e42i 1.43276 0.735675i
\(463\) 6.53453e41 0.146527 0.0732637 0.997313i \(-0.476659\pi\)
0.0732637 + 0.997313i \(0.476659\pi\)
\(464\) 6.17320e42 3.56410e42i 1.33728 0.772080i
\(465\) −8.81688e41 2.06158e42i −0.184530 0.431472i
\(466\) −2.23282e42 + 3.86735e42i −0.451521 + 0.782058i
\(467\) 4.67444e42 2.69879e42i 0.913396 0.527349i 0.0318737 0.999492i \(-0.489853\pi\)
0.881522 + 0.472142i \(0.156519\pi\)
\(468\) −2.09643e41 7.16437e41i −0.0395865 0.135283i
\(469\) −1.85999e42 + 3.81757e42i −0.339426 + 0.696661i
\(470\) 6.94530e40i 0.0122497i
\(471\) 3.96951e41 3.30696e42i 0.0676710 0.563761i
\(472\) 1.30295e42 2.25678e42i 0.214712 0.371892i
\(473\) −5.31789e42 3.07029e42i −0.847152 0.489103i
\(474\) 3.25089e42 + 3.90220e41i 0.500666 + 0.0600975i
\(475\) 6.15798e42 0.916939
\(476\) −2.83962e42 + 1.91707e42i −0.408836 + 0.276011i
\(477\) 2.76257e42 8.08381e41i 0.384608 0.112544i
\(478\) 2.03810e42 + 3.53009e42i 0.274397 + 0.475270i
\(479\) −4.93317e42 2.84817e42i −0.642329 0.370849i 0.143182 0.989696i \(-0.454267\pi\)
−0.785511 + 0.618847i \(0.787600\pi\)
\(480\) 1.36744e42 5.84821e41i 0.172206 0.0736484i
\(481\) −9.92211e41 1.71856e42i −0.120860 0.209336i
\(482\) 1.46168e43i 1.72227i
\(483\) −1.81462e42 + 2.81349e42i −0.206839 + 0.320694i
\(484\) 2.81225e42 0.310119
\(485\) −3.58882e41 + 2.07200e41i −0.0382898 + 0.0221066i
\(486\) −9.21133e42 6.26559e42i −0.950915 0.646818i
\(487\) −8.15587e42 + 1.41264e43i −0.814717 + 1.41113i 0.0948138 + 0.995495i \(0.469774\pi\)
−0.909531 + 0.415636i \(0.863559\pi\)
\(488\) −6.95827e42 + 4.01736e42i −0.672642 + 0.388350i
\(489\) −1.22267e43 9.16167e42i −1.14385 0.857103i
\(490\) −1.42898e42 + 3.54534e42i −0.129386 + 0.321011i
\(491\) 1.25246e43i 1.09764i 0.835942 + 0.548819i \(0.184922\pi\)
−0.835942 + 0.548819i \(0.815078\pi\)
\(492\) −3.58214e42 4.29982e41i −0.303879 0.0364761i
\(493\) −1.17975e43 + 2.04339e43i −0.968812 + 1.67803i
\(494\) 5.51889e42 + 3.18633e42i 0.438754 + 0.253315i
\(495\) 3.78238e42 3.95949e42i 0.291127 0.304758i
\(496\) −2.54965e43 −1.90009
\(497\) 1.39119e42 + 1.97768e43i 0.100389 + 1.42710i
\(498\) 4.96646e41 + 3.72144e41i 0.0347038 + 0.0260041i
\(499\) 2.20746e42 + 3.82343e42i 0.149377 + 0.258729i 0.930997 0.365026i \(-0.118940\pi\)
−0.781620 + 0.623754i \(0.785607\pi\)
\(500\) 2.44979e42 + 1.41438e42i 0.160549 + 0.0926931i
\(501\) −4.31863e42 1.00979e43i −0.274121 0.640955i
\(502\) 8.72836e42 + 1.51180e43i 0.536628 + 0.929466i
\(503\) 9.17821e41i 0.0546601i −0.999626 0.0273300i \(-0.991299\pi\)
0.999626 0.0273300i \(-0.00870050\pi\)
\(504\) −1.03946e43 8.61928e42i −0.599682 0.497259i
\(505\) 2.94169e42 0.164412
\(506\) −9.82981e42 + 5.67524e42i −0.532276 + 0.307310i
\(507\) 1.41793e43 6.06415e42i 0.743921 0.318158i
\(508\) −5.47746e42 + 9.48725e42i −0.278458 + 0.482304i
\(509\) −1.79434e43 + 1.03596e43i −0.883933 + 0.510339i −0.871953 0.489589i \(-0.837147\pi\)
−0.0119797 + 0.999928i \(0.503813\pi\)
\(510\) −6.64727e42 + 8.87113e42i −0.317337 + 0.423503i
\(511\) 1.41073e43 2.89549e43i 0.652695 1.33964i
\(512\) 4.25774e42i 0.190924i
\(513\) 2.28821e43 3.81508e42i 0.994529 0.165816i
\(514\) −1.28656e43 + 2.22839e43i −0.542027 + 0.938819i
\(515\) −6.59682e42 3.80867e42i −0.269413 0.155546i
\(516\) 6.78329e41 5.65109e42i 0.0268562 0.223737i
\(517\) −1.29132e42 −0.0495663
\(518\) 1.53692e43 + 7.48814e42i 0.571972 + 0.278675i
\(519\) −1.62404e43 + 2.16736e43i −0.586028 + 0.782086i
\(520\) −1.46376e42 2.53531e42i −0.0512174 0.0887112i
\(521\) −2.45434e43 1.41701e43i −0.832780 0.480806i 0.0220233 0.999757i \(-0.492989\pi\)
−0.854804 + 0.518951i \(0.826323\pi\)
\(522\) 4.30312e43 + 1.04815e43i 1.41597 + 0.344902i
\(523\) 2.94973e43 + 5.10907e43i 0.941357 + 1.63048i 0.762885 + 0.646534i \(0.223782\pi\)
0.178472 + 0.983945i \(0.442885\pi\)
\(524\) 2.33000e42i 0.0721199i
\(525\) 1.49077e42 3.02546e43i 0.0447570 0.908328i
\(526\) −1.16801e43 −0.340154
\(527\) 7.30889e43 4.21979e43i 2.06482 1.19212i
\(528\) −2.44844e43 5.72498e43i −0.671037 1.56903i
\(529\) −1.60660e43 + 2.78272e43i −0.427187 + 0.739909i
\(530\) −4.65599e42 + 2.68814e42i −0.120115 + 0.0693485i
\(531\) 2.11351e43 6.18455e42i 0.529045 0.154809i
\(532\) −1.33588e43 + 9.39723e41i −0.324475 + 0.0228252i
\(533\) 1.75858e43i 0.414503i
\(534\) 1.07660e43 8.96903e43i 0.246260 2.05156i
\(535\) −8.92451e42 + 1.54577e43i −0.198118 + 0.343150i
\(536\) 2.42658e43 + 1.40098e43i 0.522826 + 0.301854i
\(537\) 1.73736e43 + 2.08544e42i 0.363330 + 0.0436123i
\(538\) −1.59210e43 −0.323188
\(539\) 6.59175e43 + 2.65686e43i 1.29891 + 0.523539i
\(540\) 4.75296e42 + 1.78030e42i 0.0909210 + 0.0340559i
\(541\) −2.70114e43 4.67851e43i −0.501638 0.868863i −0.999998 0.00189259i \(-0.999398\pi\)
0.498360 0.866970i \(-0.333936\pi\)
\(542\) −7.09182e43 4.09446e43i −1.27870 0.738258i
\(543\) −2.90887e43 + 1.24405e43i −0.509245 + 0.217792i
\(544\) 2.79897e43 + 4.84797e43i 0.475791 + 0.824095i
\(545\) 2.73680e43i 0.451750i
\(546\) 1.69907e43 2.63434e43i 0.272352 0.422269i
\(547\) 8.16647e43 1.27127 0.635634 0.771990i \(-0.280739\pi\)
0.635634 + 0.771990i \(0.280739\pi\)
\(548\) 3.41872e43 1.97380e43i 0.516862 0.298410i
\(549\) −6.59693e43 1.60688e43i −0.968689 0.235953i
\(550\) 5.13485e43 8.89382e43i 0.732360 1.26849i
\(551\) −7.98697e43 + 4.61128e43i −1.10651 + 0.638845i
\(552\) 1.76780e43 + 1.32464e43i 0.237907 + 0.178267i
\(553\) 1.87659e43 + 2.77967e43i 0.245340 + 0.363405i
\(554\) 1.00626e43i 0.127807i
\(555\) 1.33963e43 + 1.60802e42i 0.165309 + 0.0198428i
\(556\) 1.78548e43 3.09254e43i 0.214071 0.370782i
\(557\) −4.04802e43 2.33713e43i −0.471584 0.272269i 0.245318 0.969443i \(-0.421108\pi\)
−0.716903 + 0.697173i \(0.754441\pi\)
\(558\) −1.14550e44 1.09426e44i −1.29672 1.23872i
\(559\) −2.77430e43 −0.305186
\(560\) 3.08380e43 + 1.50248e43i 0.329669 + 0.160620i
\(561\) 1.64939e44 + 1.23591e44i 1.71363 + 1.28405i
\(562\) 2.83355e42 + 4.90784e42i 0.0286121 + 0.0495575i
\(563\) −6.62766e43 3.82648e43i −0.650468 0.375548i 0.138167 0.990409i \(-0.455879\pi\)
−0.788636 + 0.614861i \(0.789212\pi\)
\(564\) −4.70657e41 1.10050e42i −0.00448992 0.0104984i
\(565\) 1.04719e43 + 1.81378e43i 0.0971068 + 0.168194i
\(566\) 1.74986e44i 1.57739i
\(567\) −1.32043e43 1.13345e44i −0.115714 0.993283i
\(568\) 1.30813e44 1.11450
\(569\) 1.05279e44 6.07830e43i 0.872061 0.503484i 0.00402821 0.999992i \(-0.498718\pi\)
0.868032 + 0.496507i \(0.165384\pi\)
\(570\) −3.98384e43 + 1.70379e43i −0.320852 + 0.137221i
\(571\) −9.08178e43 + 1.57301e44i −0.711203 + 1.23184i 0.253203 + 0.967413i \(0.418516\pi\)
−0.964406 + 0.264426i \(0.914817\pi\)
\(572\) 2.24502e43 1.29616e43i 0.170956 0.0987014i
\(573\) −9.94189e43 + 1.32680e44i −0.736199 + 0.982497i
\(574\) −8.47737e43 1.25569e44i −0.610479 0.904261i
\(575\) 4.95537e43i 0.347049i
\(576\) −5.09895e43 + 5.33771e43i −0.347313 + 0.363576i
\(577\) −7.68327e43 + 1.33078e44i −0.509018 + 0.881645i 0.490928 + 0.871200i \(0.336658\pi\)
−0.999945 + 0.0104444i \(0.996675\pi\)
\(578\) −2.06787e44 1.19389e44i −1.33253 0.769338i
\(579\) −3.49387e43 + 2.91071e44i −0.219003 + 1.82449i
\(580\) −2.01779e43 −0.123035
\(581\) 4.46074e41 + 6.34124e42i 0.00264599 + 0.0376146i
\(582\) −1.75567e43 + 2.34303e43i −0.101315 + 0.135210i
\(583\) 4.99798e43 + 8.65676e43i 0.280607 + 0.486025i
\(584\) −1.84047e44 1.06260e44i −1.00536 0.580447i
\(585\) 5.85482e42 2.40366e43i 0.0311186 0.127755i
\(586\) −6.35688e43 1.10104e44i −0.328763 0.569434i
\(587\) 1.02389e44i 0.515282i −0.966241 0.257641i \(-0.917055\pi\)
0.966241 0.257641i \(-0.0829452\pi\)
\(588\) 1.38294e42 + 6.58602e43i 0.00677275 + 0.322542i
\(589\) 3.29877e44 1.57220
\(590\) −3.56208e43 + 2.05657e43i −0.165224 + 0.0953919i
\(591\) 1.26123e43 + 2.94904e43i 0.0569372 + 0.133132i
\(592\) 7.67123e43 1.32870e44i 0.337068 0.583819i
\(593\) 3.51938e44 2.03191e44i 1.50519 0.869021i 0.505207 0.862998i \(-0.331416\pi\)
0.999982 0.00602316i \(-0.00191724\pi\)
\(594\) 1.35702e44 3.62292e44i 0.564943 1.50826i
\(595\) −1.13268e44 + 7.96781e42i −0.459024 + 0.0322900i
\(596\) 2.34356e43i 0.0924560i
\(597\) 3.84711e43 3.20499e44i 0.147756 1.23094i
\(598\) −2.56406e43 + 4.44109e43i −0.0958760 + 0.166062i
\(599\) 1.49778e44 + 8.64746e43i 0.545281 + 0.314818i 0.747216 0.664581i \(-0.231390\pi\)
−0.201936 + 0.979399i \(0.564723\pi\)
\(600\) −1.98443e44 2.38201e43i −0.703422 0.0844353i
\(601\) 2.44185e44 0.842805 0.421402 0.906874i \(-0.361538\pi\)
0.421402 + 0.906874i \(0.361538\pi\)
\(602\) 1.98095e44 1.33737e44i 0.665779 0.449477i
\(603\) 6.64988e43 + 2.27253e44i 0.217639 + 0.743761i
\(604\) 6.48847e43 + 1.12384e44i 0.206800 + 0.358188i
\(605\) 8.07152e43 + 4.66009e43i 0.250536 + 0.144647i
\(606\) 1.91093e44 8.17261e43i 0.577675 0.247058i
\(607\) −2.19270e44 3.79786e44i −0.645594 1.11820i −0.984164 0.177261i \(-0.943276\pi\)
0.338569 0.940941i \(-0.390057\pi\)
\(608\) 2.18806e44i 0.627484i
\(609\) 2.07220e44 + 4.03569e44i 0.578836 + 1.12730i
\(610\) 1.26819e44 0.345071
\(611\) −5.05254e42 + 2.91708e42i −0.0133921 + 0.00773196i
\(612\) −4.52111e43 + 1.85611e44i −0.116741 + 0.479271i
\(613\) −1.96614e44 + 3.40546e44i −0.494592 + 0.856659i −0.999981 0.00623334i \(-0.998016\pi\)
0.505389 + 0.862892i \(0.331349\pi\)
\(614\) −1.21056e43 + 6.98916e42i −0.0296682 + 0.0171290i
\(615\) −9.56867e43 7.16994e43i −0.228481 0.171204i
\(616\) 2.05393e44 4.21562e44i 0.477852 0.980778i
\(617\) 4.74985e44i 1.07675i 0.842704 + 0.538377i \(0.180963\pi\)
−0.842704 + 0.538377i \(0.819037\pi\)
\(618\) −5.34345e44 6.41401e43i −1.18034 0.141682i
\(619\) −1.55134e44 + 2.68699e44i −0.333930 + 0.578384i −0.983279 0.182107i \(-0.941708\pi\)
0.649349 + 0.760491i \(0.275042\pi\)
\(620\) 6.25039e43 + 3.60867e43i 0.131111 + 0.0756972i
\(621\) 3.07002e43 + 1.84133e44i 0.0627590 + 0.376415i
\(622\) −1.08424e45 −2.16013
\(623\) 7.66896e44 5.17742e44i 1.48911 1.00532i
\(624\) −2.25126e44 1.68690e44i −0.426062 0.319255i
\(625\) −1.99627e44 3.45764e44i −0.368247 0.637822i
\(626\) −2.53558e44 1.46392e44i −0.455920 0.263225i
\(627\) 3.16782e44 + 7.40706e44i 0.555239 + 1.29827i
\(628\) 5.36053e43 + 9.28471e43i 0.0915911 + 0.158640i
\(629\) 5.07850e44i 0.845912i
\(630\) 7.40643e43 + 1.99854e44i 0.120271 + 0.324536i
\(631\) −8.18574e44 −1.29595 −0.647975 0.761662i \(-0.724384\pi\)
−0.647975 + 0.761662i \(0.724384\pi\)
\(632\) 1.91644e44 1.10646e44i 0.295817 0.170790i
\(633\) −6.20568e44 + 2.65402e44i −0.933963 + 0.399434i
\(634\) 3.41657e44 5.91767e44i 0.501374 0.868405i
\(635\) −3.14420e44 + 1.81531e44i −0.449915 + 0.259759i
\(636\) −5.55586e43 + 7.41459e43i −0.0775243 + 0.103460i
\(637\) 3.17933e44 4.49523e43i 0.432618 0.0611676i
\(638\) 1.53805e45i 2.04099i
\(639\) 7.99343e44 + 7.63589e44i 1.03447 + 0.988202i
\(640\) 1.43133e44 2.47913e44i 0.180659 0.312910i
\(641\) −5.84624e44 3.37533e44i −0.719695 0.415516i 0.0949456 0.995482i \(-0.469732\pi\)
−0.814640 + 0.579966i \(0.803066\pi\)
\(642\) −1.50294e44 + 1.25208e45i −0.180460 + 1.50339i
\(643\) 9.60838e44 1.12532 0.562658 0.826690i \(-0.309779\pi\)
0.562658 + 0.826690i \(0.309779\pi\)
\(644\) −7.56201e42 1.07499e44i −0.00863900 0.122809i
\(645\) 1.13111e44 1.50953e44i 0.126052 0.168223i
\(646\) −8.15442e44 1.41239e45i −0.886488 1.53544i
\(647\) 7.44389e44 + 4.29773e44i 0.789462 + 0.455796i 0.839773 0.542937i \(-0.182688\pi\)
−0.0503111 + 0.998734i \(0.516021\pi\)
\(648\) −7.52140e44 + 3.44307e43i −0.778213 + 0.0356243i
\(649\) 3.82373e44 + 6.62289e44i 0.385986 + 0.668548i
\(650\) 4.63983e44i 0.456971i
\(651\) 7.98589e43 1.62071e45i 0.0767410 1.55743i
\(652\) 4.91790e44 0.461124
\(653\) −4.92939e44 + 2.84599e44i −0.451006 + 0.260389i −0.708255 0.705957i \(-0.750517\pi\)
0.257249 + 0.966345i \(0.417184\pi\)
\(654\) 7.60338e44 + 1.77784e45i 0.678833 + 1.58726i
\(655\) 3.86097e43 6.68739e43i 0.0336384 0.0582634i
\(656\) −1.17748e45 + 6.79820e44i −1.00114 + 0.578006i
\(657\) −5.04369e44 1.72363e45i −0.418506 1.43021i
\(658\) 2.20150e43 4.51852e43i 0.0178281 0.0365916i
\(659\) 1.27473e45i 1.00751i 0.863846 + 0.503756i \(0.168049\pi\)
−0.863846 + 0.503756i \(0.831951\pi\)
\(660\) −2.10062e43 + 1.75001e44i −0.0162048 + 0.135001i
\(661\) −8.23699e44 + 1.42669e45i −0.620219 + 1.07425i 0.369225 + 0.929340i \(0.379623\pi\)
−0.989445 + 0.144911i \(0.953710\pi\)
\(662\) −1.18663e45 6.85099e44i −0.872140 0.503530i
\(663\) 9.24544e44 + 1.10978e44i 0.663302 + 0.0796194i
\(664\) 4.19441e43 0.0293752
\(665\) −3.98986e44 1.94393e44i −0.272779 0.132903i
\(666\) 9.14901e44 2.67718e44i 0.610642 0.178686i
\(667\) −3.71072e44 6.42716e44i −0.241794 0.418799i
\(668\) 3.06153e44 + 1.76757e44i 0.194767 + 0.112449i
\(669\) −2.09655e45 + 8.96646e44i −1.30223 + 0.556933i
\(670\) −2.21131e44 3.83009e44i −0.134107 0.232280i
\(671\) 2.35792e45i 1.39627i
\(672\) 1.07501e45 + 5.29702e43i 0.621591 + 0.0306283i
\(673\) −9.73604e44 −0.549720 −0.274860 0.961484i \(-0.588631\pi\)
−0.274860 + 0.961484i \(0.588631\pi\)
\(674\) −1.66416e45 + 9.60805e44i −0.917566 + 0.529757i
\(675\) −1.07356e45 1.30392e45i −0.578049 0.702084i
\(676\) −2.48200e44 + 4.29895e44i −0.130513 + 0.226055i
\(677\) 1.45811e45 8.41841e44i 0.748810 0.432326i −0.0764535 0.997073i \(-0.524360\pi\)
0.825264 + 0.564747i \(0.191026\pi\)
\(678\) 1.18416e45 + 8.87311e44i 0.593932 + 0.445042i
\(679\) −2.99161e44 + 2.10445e43i −0.146551 + 0.0103091i
\(680\) 7.49209e44i 0.358476i
\(681\) 2.38725e45 + 2.86554e44i 1.11569 + 0.133922i
\(682\) 2.75069e45 4.76433e45i 1.25572 2.17496i
\(683\) 1.11612e45 + 6.44392e44i 0.497714 + 0.287355i 0.727769 0.685822i \(-0.240557\pi\)
−0.230055 + 0.973178i \(0.573891\pi\)
\(684\) −5.15788e44 + 5.39940e44i −0.224685 + 0.235206i
\(685\) 1.30829e45 0.556742
\(686\) −2.05346e45 + 1.85359e45i −0.853692 + 0.770599i
\(687\) −1.19997e45 8.99157e44i −0.487376 0.365198i
\(688\) −1.07247e45 1.85757e45i −0.425568 0.737106i
\(689\) 3.91111e44 + 2.25808e44i 0.151632 + 0.0875450i
\(690\) −1.37105e44 3.20582e44i −0.0519361 0.121438i
\(691\) 4.00905e44 + 6.94388e44i 0.148386 + 0.257012i 0.930631 0.365959i \(-0.119259\pi\)
−0.782245 + 0.622971i \(0.785926\pi\)
\(692\) 8.71768e44i 0.315285i
\(693\) 3.71583e45 1.37706e45i 1.31318 0.486655i
\(694\) 2.28942e45 0.790630
\(695\) 1.02491e45 5.91731e44i 0.345882 0.199695i
\(696\) 2.75220e45 1.17705e45i 0.907679 0.388193i
\(697\) 2.25027e45 3.89758e45i 0.725287 1.25623i
\(698\) −2.26511e44 + 1.30776e44i −0.0713514 + 0.0411947i
\(699\) −1.52941e45 + 2.04108e45i −0.470857 + 0.628383i
\(700\) 5.45568e44 + 8.08113e44i 0.164165 + 0.243166i
\(701\) 3.48083e45i 1.02375i −0.859060 0.511876i \(-0.828951\pi\)
0.859060 0.511876i \(-0.171049\pi\)
\(702\) −2.87454e44 1.72409e45i −0.0826369 0.495638i
\(703\) −9.92514e44 + 1.71908e45i −0.278902 + 0.483072i
\(704\) −2.22005e45 1.28175e45i −0.609818 0.352079i
\(705\) 4.72755e42 3.93848e43i 0.00126944 0.0105755i
\(706\) −1.57188e44 −0.0412613
\(707\) 1.91382e45 + 9.32447e44i 0.491123 + 0.239284i
\(708\) −4.25054e44 + 5.67257e44i −0.106638 + 0.142314i
\(709\) −1.48685e44 2.57529e44i −0.0364692 0.0631665i 0.847215 0.531251i \(-0.178278\pi\)
−0.883684 + 0.468084i \(0.844944\pi\)
\(710\) −1.78812e45 1.03237e45i −0.428809 0.247573i
\(711\) 1.81692e45 + 4.42565e44i 0.426013 + 0.103768i
\(712\) −3.05266e45 5.28736e45i −0.699840 1.21216i
\(713\) 2.65454e45i 0.595054i
\(714\) −7.13657e45 + 3.66441e45i −1.56429 + 0.803216i
\(715\) 8.59133e44 0.184147
\(716\) −4.87785e44 + 2.81623e44i −0.102240 + 0.0590282i
\(717\) 9.15460e44 + 2.14054e45i 0.187643 + 0.438751i
\(718\) 3.58401e45 6.20768e45i 0.718419 1.24434i
\(719\) 2.37633e45 1.37197e45i 0.465848 0.268957i −0.248652 0.968593i \(-0.579988\pi\)
0.714500 + 0.699635i \(0.246654\pi\)
\(720\) 1.83573e45 5.37171e44i 0.351957 0.102989i
\(721\) −3.08454e45 4.56891e45i −0.578396 0.856739i
\(722\) 1.03983e44i 0.0190706i
\(723\) −9.94943e44 + 8.28878e45i −0.178478 + 1.48689i
\(724\) 5.09179e44 8.81924e44i 0.0893416 0.154744i
\(725\) 5.81517e45 + 3.35739e45i 0.998055 + 0.576227i
\(726\) 6.53797e45 + 7.84785e44i 1.09763 + 0.131754i
\(727\) 5.83497e45 0.958270 0.479135 0.877741i \(-0.340950\pi\)
0.479135 + 0.877741i \(0.340950\pi\)
\(728\) −1.48668e44 2.11342e45i −0.0238845 0.339534i
\(729\) −4.79699e45 4.18004e45i −0.753925 0.656961i
\(730\) 1.67719e45 + 2.90499e45i 0.257880 + 0.446661i
\(731\) 6.14873e45 + 3.54997e45i 0.924927 + 0.534007i
\(732\) 2.00948e45 8.59407e44i 0.295738 0.126480i
\(733\) −2.32487e45 4.02679e45i −0.334761 0.579823i 0.648678 0.761063i \(-0.275322\pi\)
−0.983439 + 0.181240i \(0.941989\pi\)
\(734\) 8.78869e45i 1.23819i
\(735\) −1.05166e45 + 1.91319e45i −0.144970 + 0.263730i
\(736\) −1.76075e45 −0.237494
\(737\) −7.12120e45 + 4.11142e45i −0.939882 + 0.542641i
\(738\) −8.20781e45 1.99925e45i −1.06005 0.258206i
\(739\) −3.62963e45 + 6.28670e45i −0.458724 + 0.794533i −0.998894 0.0470230i \(-0.985027\pi\)
0.540170 + 0.841556i \(0.318360\pi\)