Properties

Label 21.33.h.b.2.6
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 2.6
Character \(\chi\) \(=\) 21.2
Dual form 21.33.h.b.11.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-100224. - 57864.6i) q^{2} +(-4.15312e7 + 1.13217e7i) q^{3} +(4.54913e9 + 7.87933e9i) q^{4} +(-9.99516e10 - 5.77071e10i) q^{5} +(4.81756e12 + 1.26847e12i) q^{6} +(1.10609e13 + 3.13382e13i) q^{7} -5.55881e14i q^{8} +(1.59666e15 - 9.40407e14i) q^{9} +O(q^{10})\) \(q+(-100224. - 57864.6i) q^{2} +(-4.15312e7 + 1.13217e7i) q^{3} +(4.54913e9 + 7.87933e9i) q^{4} +(-9.99516e10 - 5.77071e10i) q^{5} +(4.81756e12 + 1.26847e12i) q^{6} +(1.10609e13 + 3.13382e13i) q^{7} -5.55881e14i q^{8} +(1.59666e15 - 9.40407e14i) q^{9} +(6.67839e15 + 1.15673e16i) q^{10} +(-9.36632e15 + 5.40765e15i) q^{11} +(-2.78138e17 - 2.75734e17i) q^{12} +8.57824e17 q^{13} +(7.04798e17 - 3.78089e18i) q^{14} +(4.80445e18 + 1.26502e18i) q^{15} +(-1.26275e19 + 2.18714e19i) q^{16} +(-1.89042e19 + 1.09144e19i) q^{17} +(-2.14440e20 + 1.86176e18i) q^{18} +(2.54174e20 - 4.40242e20i) q^{19} -1.05007e21i q^{20} +(-8.14175e20 - 1.17628e21i) q^{21} +1.25164e21 q^{22} +(-2.78178e20 - 1.60606e20i) q^{23} +(6.29352e21 + 2.30864e22i) q^{24} +(-4.98132e21 - 8.62790e21i) q^{25} +(-8.59748e22 - 4.96376e22i) q^{26} +(-5.56641e22 + 5.71331e22i) q^{27} +(-1.96606e23 + 2.29714e23i) q^{28} -2.13996e23i q^{29} +(-4.08323e23 - 4.04793e23i) q^{30} +(3.07970e23 + 5.33420e23i) q^{31} +(4.63529e23 - 2.67618e23i) q^{32} +(3.27771e23 - 3.30629e23i) q^{33} +2.52622e24 q^{34} +(7.02879e23 - 3.77060e24i) q^{35} +(1.46732e25 + 8.30256e24i) q^{36} +(7.13482e23 - 1.23579e24i) q^{37} +(-5.09488e25 + 2.94153e25i) q^{38} +(-3.56264e25 + 9.71202e24i) q^{39} +(-3.20783e25 + 5.55612e25i) q^{40} -5.55387e25i q^{41} +(1.35350e25 + 1.65004e26i) q^{42} -1.63017e26 q^{43} +(-8.52172e25 - 4.92002e25i) q^{44} +(-2.13857e26 + 1.85669e24i) q^{45} +(1.85868e25 + 3.21933e25i) q^{46} +(-1.40056e26 - 8.08613e25i) q^{47} +(2.76812e26 - 1.05131e27i) q^{48} +(-8.59739e26 + 6.93259e26i) q^{49} +1.15297e27i q^{50} +(6.61545e26 - 6.67314e26i) q^{51} +(3.90235e27 + 6.75907e27i) q^{52} +(5.45235e27 - 3.14792e27i) q^{53} +(8.88488e27 - 2.50515e27i) q^{54} +1.24824e27 q^{55} +(1.74203e28 - 6.14856e27i) q^{56} +(-5.57185e27 + 2.11614e28i) q^{57} +(-1.23828e28 + 2.14476e28i) q^{58} +(3.44200e28 - 1.98724e28i) q^{59} +(1.18886e28 + 4.36106e28i) q^{60} +(2.47856e28 - 4.29299e28i) q^{61} -7.12823e28i q^{62} +(4.71312e28 + 3.96346e28i) q^{63} +4.65265e28 q^{64} +(-8.57408e28 - 4.95025e28i) q^{65} +(-5.19823e28 + 1.41707e28i) q^{66} +(5.92208e28 + 1.02573e29i) q^{67} +(-1.71996e29 - 9.93017e28i) q^{68} +(1.33714e28 + 3.52072e27i) q^{69} +(-2.88630e29 + 3.37234e29i) q^{70} +4.71676e29i q^{71} +(-5.22755e29 - 8.87553e29i) q^{72} +(2.25331e29 + 3.90285e29i) q^{73} +(-1.43017e29 + 8.25707e28i) q^{74} +(3.04563e29 + 3.01930e29i) q^{75} +4.62508e30 q^{76} +(-2.73066e29 - 2.33710e29i) q^{77} +(4.13262e30 + 1.08813e30i) q^{78} +(9.62032e29 - 1.66629e30i) q^{79} +(2.52427e30 - 1.45739e30i) q^{80} +(1.66495e30 - 3.00302e30i) q^{81} +(-3.21372e30 + 5.56633e30i) q^{82} -5.34299e30i q^{83} +(5.56454e30 - 1.17662e31i) q^{84} +2.51934e30 q^{85} +(1.63383e31 + 9.43291e30i) q^{86} +(2.42280e30 + 8.88750e30i) q^{87} +(3.00601e30 + 5.20656e30i) q^{88} +(-5.64977e30 - 3.26189e30i) q^{89} +(2.15411e31 + 1.21886e31i) q^{90} +(9.48832e30 + 2.68827e31i) q^{91} -2.92248e30i q^{92} +(-1.88296e31 - 1.86668e31i) q^{93} +(9.35800e30 + 1.62085e31i) q^{94} +(-5.08101e31 + 2.93352e31i) q^{95} +(-1.62210e31 + 1.63624e31i) q^{96} +5.20888e31 q^{97} +(1.26282e32 - 1.97330e31i) q^{98} +(-9.86942e30 + 1.74423e31i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −100224. 57864.6i −1.52930 0.882943i −0.999391 0.0348901i \(-0.988892\pi\)
−0.529911 0.848053i \(-0.677775\pi\)
\(3\) −4.15312e7 + 1.13217e7i −0.964793 + 0.263010i
\(4\) 4.54913e9 + 7.87933e9i 1.05918 + 1.83455i
\(5\) −9.99516e10 5.77071e10i −0.655043 0.378189i 0.135343 0.990799i \(-0.456786\pi\)
−0.790385 + 0.612610i \(0.790120\pi\)
\(6\) 4.81756e12 + 1.26847e12i 1.70768 + 0.449636i
\(7\) 1.10609e13 + 3.13382e13i 0.332830 + 0.942987i
\(8\) 5.55881e14i 1.97489i
\(9\) 1.59666e15 9.40407e14i 0.861652 0.507500i
\(10\) 6.67839e15 + 1.15673e16i 0.667839 + 1.15673i
\(11\) −9.36632e15 + 5.40765e15i −0.203838 + 0.117686i −0.598445 0.801164i \(-0.704214\pi\)
0.394606 + 0.918850i \(0.370881\pi\)
\(12\) −2.78138e17 2.75734e17i −1.50439 1.49139i
\(13\) 8.57824e17 1.28915 0.644576 0.764540i \(-0.277034\pi\)
0.644576 + 0.764540i \(0.277034\pi\)
\(14\) 7.04798e17 3.78089e18i 0.323605 1.73598i
\(15\) 4.80445e18 + 1.26502e18i 0.731448 + 0.192592i
\(16\) −1.26275e19 + 2.18714e19i −0.684536 + 1.18565i
\(17\) −1.89042e19 + 1.09144e19i −0.388486 + 0.224293i −0.681504 0.731814i \(-0.738674\pi\)
0.293018 + 0.956107i \(0.405341\pi\)
\(18\) −2.14440e20 + 1.86176e18i −1.76582 + 0.0153307i
\(19\) 2.54174e20 4.40242e20i 0.881197 1.52628i 0.0311856 0.999514i \(-0.490072\pi\)
0.850011 0.526764i \(-0.176595\pi\)
\(20\) 1.05007e21i 1.60228i
\(21\) −8.14175e20 1.17628e21i −0.569127 0.822250i
\(22\) 1.25164e21 0.415641
\(23\) −2.78178e20 1.60606e20i −0.0453605 0.0261889i 0.477148 0.878823i \(-0.341670\pi\)
−0.522509 + 0.852634i \(0.675004\pi\)
\(24\) 6.29352e21 + 2.30864e22i 0.519414 + 1.90536i
\(25\) −4.98132e21 8.62790e21i −0.213946 0.370566i
\(26\) −8.59748e22 4.96376e22i −1.97150 1.13825i
\(27\) −5.56641e22 + 5.71331e22i −0.697839 + 0.716255i
\(28\) −1.96606e23 + 2.29714e23i −1.37743 + 1.60938i
\(29\) 2.13996e23i 0.855140i −0.903982 0.427570i \(-0.859370\pi\)
0.903982 0.427570i \(-0.140630\pi\)
\(30\) −4.08323e23 4.04793e23i −0.948557 0.940358i
\(31\) 3.07970e23 + 5.33420e23i 0.423372 + 0.733301i 0.996267 0.0863273i \(-0.0275131\pi\)
−0.572895 + 0.819629i \(0.694180\pi\)
\(32\) 4.63529e23 2.67618e23i 0.383422 0.221369i
\(33\) 3.27771e23 3.30629e23i 0.165709 0.167154i
\(34\) 2.52622e24 0.792151
\(35\) 7.02879e23 3.77060e24i 0.138609 0.743569i
\(36\) 1.46732e25 + 8.30256e24i 1.84368 + 1.04321i
\(37\) 7.13482e23 1.23579e24i 0.0578303 0.100165i −0.835661 0.549246i \(-0.814915\pi\)
0.893491 + 0.449081i \(0.148248\pi\)
\(38\) −5.09488e25 + 2.94153e25i −2.69523 + 1.55609i
\(39\) −3.56264e25 + 9.71202e24i −1.24377 + 0.339059i
\(40\) −3.20783e25 + 5.55612e25i −0.746880 + 1.29363i
\(41\) 5.55387e25i 0.871072i −0.900171 0.435536i \(-0.856559\pi\)
0.900171 0.435536i \(-0.143441\pi\)
\(42\) 1.35350e25 + 1.65004e26i 0.144368 + 1.75998i
\(43\) −1.63017e26 −1.19327 −0.596633 0.802514i \(-0.703495\pi\)
−0.596633 + 0.802514i \(0.703495\pi\)
\(44\) −8.52172e25 4.92002e25i −0.431802 0.249301i
\(45\) −2.13857e26 + 1.85669e24i −0.756349 + 0.00656658i
\(46\) 1.85868e25 + 3.21933e25i 0.0462466 + 0.0801014i
\(47\) −1.40056e26 8.08613e25i −0.247022 0.142618i 0.371378 0.928482i \(-0.378885\pi\)
−0.618400 + 0.785864i \(0.712219\pi\)
\(48\) 2.76812e26 1.05131e27i 0.348598 1.32395i
\(49\) −8.59739e26 + 6.93259e26i −0.778448 + 0.627709i
\(50\) 1.15297e27i 0.755609i
\(51\) 6.61545e26 6.67314e26i 0.315818 0.318572i
\(52\) 3.90235e27 + 6.75907e27i 1.36544 + 2.36501i
\(53\) 5.45235e27 3.14792e27i 1.40660 0.812099i 0.411539 0.911392i \(-0.364991\pi\)
0.995058 + 0.0992928i \(0.0316580\pi\)
\(54\) 8.88488e27 2.50515e27i 1.69962 0.479218i
\(55\) 1.24824e27 0.178030
\(56\) 1.74203e28 6.14856e27i 1.86229 0.657302i
\(57\) −5.57185e27 + 2.11614e28i −0.448747 + 1.70431i
\(58\) −1.23828e28 + 2.14476e28i −0.755040 + 1.30777i
\(59\) 3.44200e28 1.98724e28i 1.59654 0.921761i 0.604389 0.796689i \(-0.293417\pi\)
0.992148 0.125071i \(-0.0399160\pi\)
\(60\) 1.18886e28 + 4.36106e28i 0.421414 + 1.54587i
\(61\) 2.47856e28 4.29299e28i 0.674406 1.16811i −0.302236 0.953233i \(-0.597733\pi\)
0.976642 0.214872i \(-0.0689335\pi\)
\(62\) 7.12823e28i 1.49525i
\(63\) 4.71312e28 + 3.96346e28i 0.765349 + 0.643615i
\(64\) 4.65265e28 0.587247
\(65\) −8.57408e28 4.95025e28i −0.844450 0.487543i
\(66\) −5.19823e28 + 1.41707e28i −0.401007 + 0.109317i
\(67\) 5.92208e28 + 1.02573e29i 0.359151 + 0.622068i 0.987819 0.155606i \(-0.0497329\pi\)
−0.628668 + 0.777674i \(0.716400\pi\)
\(68\) −1.71996e29 9.93017e28i −0.822952 0.475132i
\(69\) 1.33714e28 + 3.52072e27i 0.0506514 + 0.0133366i
\(70\) −2.88630e29 + 3.37234e29i −0.868505 + 1.01476i
\(71\) 4.71676e29i 1.13112i 0.824706 + 0.565562i \(0.191341\pi\)
−0.824706 + 0.565562i \(0.808659\pi\)
\(72\) −5.22755e29 8.87553e29i −1.00225 1.70167i
\(73\) 2.25331e29 + 3.90285e29i 0.346462 + 0.600089i 0.985618 0.168987i \(-0.0540497\pi\)
−0.639156 + 0.769077i \(0.720716\pi\)
\(74\) −1.43017e29 + 8.25707e28i −0.176880 + 0.102122i
\(75\) 3.04563e29 + 3.01930e29i 0.303876 + 0.301249i
\(76\) 4.62508e30 3.73338
\(77\) −2.73066e29 2.33710e29i −0.178820 0.153047i
\(78\) 4.13262e30 + 1.08813e30i 2.20146 + 0.579650i
\(79\) 9.62032e29 1.66629e30i 0.417980 0.723963i −0.577756 0.816210i \(-0.696071\pi\)
0.995736 + 0.0922464i \(0.0294048\pi\)
\(80\) 2.52427e30 1.45739e30i 0.896800 0.517768i
\(81\) 1.66495e30 3.00302e30i 0.484888 0.874576i
\(82\) −3.21372e30 + 5.56633e30i −0.769107 + 1.33213i
\(83\) 5.34299e30i 1.05326i −0.850095 0.526629i \(-0.823456\pi\)
0.850095 0.526629i \(-0.176544\pi\)
\(84\) 5.56454e30 1.17662e31i 0.905651 1.91500i
\(85\) 2.51934e30 0.339300
\(86\) 1.63383e31 + 9.43291e30i 1.82487 + 1.05359i
\(87\) 2.42280e30 + 8.88750e30i 0.224910 + 0.825033i
\(88\) 3.00601e30 + 5.20656e30i 0.232417 + 0.402558i
\(89\) −5.64977e30 3.26189e30i −0.364578 0.210489i 0.306509 0.951868i \(-0.400839\pi\)
−0.671087 + 0.741379i \(0.734172\pi\)
\(90\) 2.15411e31 + 1.21886e31i 1.16248 + 0.657771i
\(91\) 9.48832e30 + 2.68827e31i 0.429069 + 1.21565i
\(92\) 2.92248e30i 0.110955i
\(93\) −1.88296e31 1.86668e31i −0.601332 0.596133i
\(94\) 9.35800e30 + 1.62085e31i 0.251847 + 0.436213i
\(95\) −5.08101e31 + 2.93352e31i −1.15444 + 0.666518i
\(96\) −1.62210e31 + 1.63624e31i −0.311701 + 0.314419i
\(97\) 5.20888e31 0.848001 0.424001 0.905662i \(-0.360625\pi\)
0.424001 + 0.905662i \(0.360625\pi\)
\(98\) 1.26282e32 1.97330e31i 1.74471 0.272632i
\(99\) −9.86942e30 + 1.74423e31i −0.115912 + 0.204852i
\(100\) 4.53214e31 7.84989e31i 0.453214 0.784989i
\(101\) −1.01206e32 + 5.84314e31i −0.863108 + 0.498315i −0.865052 0.501683i \(-0.832714\pi\)
0.00194413 + 0.999998i \(0.499381\pi\)
\(102\) −1.04917e32 + 2.86011e31i −0.764262 + 0.208343i
\(103\) −8.22894e31 + 1.42529e32i −0.512800 + 0.888196i 0.487090 + 0.873352i \(0.338058\pi\)
−0.999890 + 0.0148440i \(0.995275\pi\)
\(104\) 4.76848e32i 2.54593i
\(105\) 1.34982e31 + 1.64555e32i 0.0618366 + 0.753846i
\(106\) −7.28611e32 −2.86815
\(107\) 2.37668e32 + 1.37218e32i 0.805064 + 0.464804i 0.845239 0.534389i \(-0.179458\pi\)
−0.0401748 + 0.999193i \(0.512791\pi\)
\(108\) −7.03394e32 1.78690e32i −2.05314 0.521578i
\(109\) −1.74786e32 3.02738e32i −0.440233 0.762506i 0.557473 0.830195i \(-0.311771\pi\)
−0.997706 + 0.0676886i \(0.978438\pi\)
\(110\) −1.25104e32 7.22287e31i −0.272262 0.157191i
\(111\) −1.56406e31 + 5.94016e31i −0.0294499 + 0.111849i
\(112\) −8.25082e32 1.53804e32i −1.34589 0.250888i
\(113\) 8.60860e32i 1.21808i 0.793138 + 0.609042i \(0.208446\pi\)
−0.793138 + 0.609042i \(0.791554\pi\)
\(114\) 1.78293e33 1.79848e33i 2.19108 2.21018i
\(115\) 1.85362e31 + 3.21057e31i 0.0198087 + 0.0343097i
\(116\) 1.68614e33 9.73495e32i 1.56880 0.905745i
\(117\) 1.36965e33 8.06703e32i 1.11080 0.654244i
\(118\) −4.59963e33 −3.25545
\(119\) −5.51134e32 4.71701e32i −0.340805 0.291686i
\(120\) 7.03202e32 2.67070e33i 0.380347 1.44453i
\(121\) −9.97204e32 + 1.72721e33i −0.472300 + 0.818047i
\(122\) −4.96823e33 + 2.86841e33i −2.06274 + 1.19092i
\(123\) 6.28793e32 + 2.30659e33i 0.229100 + 0.840404i
\(124\) −2.80200e33 + 4.85320e33i −0.896852 + 1.55339i
\(125\) 3.83702e33i 1.08003i
\(126\) −2.43025e33 6.69958e33i −0.602175 1.66004i
\(127\) −2.82128e33 −0.616009 −0.308004 0.951385i \(-0.599661\pi\)
−0.308004 + 0.951385i \(0.599661\pi\)
\(128\) −6.65393e33 3.84165e33i −1.28150 0.739875i
\(129\) 6.77029e33 1.84563e33i 1.15126 0.313841i
\(130\) 5.72888e33 + 9.92271e33i 0.860946 + 1.49120i
\(131\) −7.21697e33 4.16672e33i −0.959432 0.553928i −0.0634338 0.997986i \(-0.520205\pi\)
−0.895998 + 0.444058i \(0.853538\pi\)
\(132\) 4.09620e33 + 1.07854e33i 0.482168 + 0.126956i
\(133\) 1.66078e34 + 3.09587e33i 1.73255 + 0.322965i
\(134\) 1.37071e34i 1.26844i
\(135\) 8.86070e33 2.49833e33i 0.727994 0.205263i
\(136\) 6.06708e33 + 1.05085e34i 0.442953 + 0.767217i
\(137\) 9.51972e33 5.49622e33i 0.618152 0.356890i −0.157997 0.987440i \(-0.550504\pi\)
0.776149 + 0.630549i \(0.217170\pi\)
\(138\) −1.13642e33 1.12659e33i −0.0656858 0.0651180i
\(139\) −3.00526e34 −1.54755 −0.773777 0.633459i \(-0.781635\pi\)
−0.773777 + 0.633459i \(0.781635\pi\)
\(140\) 3.29073e34 1.16147e34i 1.51093 0.533286i
\(141\) 6.73217e33 + 1.77259e33i 0.275835 + 0.0726279i
\(142\) 2.72933e34 4.72734e34i 0.998718 1.72983i
\(143\) −8.03465e33 + 4.63881e33i −0.262779 + 0.151715i
\(144\) 4.06281e32 + 4.67961e34i 0.0118857 + 1.36902i
\(145\) −1.23491e34 + 2.13892e34i −0.323404 + 0.560153i
\(146\) 5.21547e34i 1.22362i
\(147\) 2.78571e34 3.85256e34i 0.585948 0.810349i
\(148\) 1.29829e34 0.245010
\(149\) 7.35485e33 + 4.24632e33i 0.124622 + 0.0719503i 0.561015 0.827806i \(-0.310411\pi\)
−0.436393 + 0.899756i \(0.643744\pi\)
\(150\) −1.30536e34 4.78841e34i −0.198732 0.729007i
\(151\) 4.06932e34 + 7.04826e34i 0.557045 + 0.964830i 0.997741 + 0.0671739i \(0.0213982\pi\)
−0.440696 + 0.897656i \(0.645268\pi\)
\(152\) −2.44722e35 1.41290e35i −3.01423 1.74026i
\(153\) −1.99196e34 + 3.52042e34i −0.220912 + 0.390419i
\(154\) 1.38443e34 + 3.92243e34i 0.138338 + 0.391944i
\(155\) 7.10883e34i 0.640458i
\(156\) −2.38593e35 2.36531e35i −1.93939 1.92262i
\(157\) −1.19397e35 2.06801e35i −0.876190 1.51761i −0.855490 0.517820i \(-0.826744\pi\)
−0.0207005 0.999786i \(-0.506590\pi\)
\(158\) −1.92838e35 + 1.11335e35i −1.27844 + 0.738106i
\(159\) −1.90803e35 + 1.92467e35i −1.14349 + 1.15346i
\(160\) −6.17739e34 −0.334877
\(161\) 1.95620e33 1.04941e34i 0.00959843 0.0514908i
\(162\) −3.40637e35 + 2.04634e35i −1.51374 + 0.909363i
\(163\) 1.08171e35 1.87358e35i 0.435622 0.754519i −0.561725 0.827324i \(-0.689862\pi\)
0.997346 + 0.0728056i \(0.0231953\pi\)
\(164\) 4.37608e35 2.52653e35i 1.59802 0.922620i
\(165\) −5.18408e34 + 1.41322e34i −0.171763 + 0.0468237i
\(166\) −3.09170e35 + 5.35498e35i −0.929967 + 1.61075i
\(167\) 1.72635e35i 0.471700i 0.971789 + 0.235850i \(0.0757874\pi\)
−0.971789 + 0.235850i \(0.924213\pi\)
\(168\) −6.53875e35 + 4.52585e35i −1.62385 + 1.12396i
\(169\) 2.93082e35 0.661914
\(170\) −2.52499e35 1.45781e35i −0.518893 0.299583i
\(171\) −8.17788e33 9.41943e35i −0.0153004 1.76233i
\(172\) −7.41586e35 1.28446e36i −1.26388 2.18911i
\(173\) 1.84463e35 + 1.06500e35i 0.286532 + 0.165429i 0.636377 0.771378i \(-0.280432\pi\)
−0.349845 + 0.936808i \(0.613766\pi\)
\(174\) 2.71448e35 1.03094e36i 0.384502 1.46031i
\(175\) 2.15285e35 2.51538e35i 0.278231 0.325084i
\(176\) 2.73139e35i 0.322241i
\(177\) −1.20451e36 + 1.21502e36i −1.29790 + 1.30921i
\(178\) 3.77496e35 + 6.53843e35i 0.371700 + 0.643803i
\(179\) −5.09430e35 + 2.94119e35i −0.458602 + 0.264774i −0.711456 0.702731i \(-0.751964\pi\)
0.252854 + 0.967504i \(0.418631\pi\)
\(180\) −9.87491e35 1.67660e36i −0.813155 1.38060i
\(181\) 4.77389e34 0.0359762 0.0179881 0.999838i \(-0.494274\pi\)
0.0179881 + 0.999838i \(0.494274\pi\)
\(182\) 6.04592e35 3.24333e36i 0.417177 2.23795i
\(183\) −5.43335e35 + 2.06354e36i −0.343439 + 1.30436i
\(184\) −8.92780e34 + 1.54634e35i −0.0517201 + 0.0895818i
\(185\) −1.42627e35 + 8.23459e34i −0.0757627 + 0.0437416i
\(186\) 8.07037e35 + 2.96044e36i 0.393266 + 1.44261i
\(187\) 1.18042e35 2.04455e35i 0.0527923 0.0914390i
\(188\) 1.47139e36i 0.604232i
\(189\) −2.40615e36 1.11247e36i −0.907681 0.419661i
\(190\) 6.78988e36 2.35399
\(191\) 3.35000e36 + 1.93412e36i 1.06785 + 0.616524i 0.927594 0.373591i \(-0.121874\pi\)
0.140258 + 0.990115i \(0.455207\pi\)
\(192\) −1.93230e36 + 5.26759e35i −0.566572 + 0.154452i
\(193\) 9.65853e35 + 1.67291e36i 0.260612 + 0.451393i 0.966405 0.257025i \(-0.0827424\pi\)
−0.705793 + 0.708418i \(0.749409\pi\)
\(194\) −5.22056e36 3.01409e36i −1.29685 0.748737i
\(195\) 4.12137e36 + 1.08516e36i 0.942948 + 0.248280i
\(196\) −9.37349e36 3.62044e36i −1.97608 0.763245i
\(197\) 2.79095e35i 0.0542365i −0.999632 0.0271183i \(-0.991367\pi\)
0.999632 0.0271183i \(-0.00863307\pi\)
\(198\) 1.99845e36 1.17706e36i 0.358138 0.210938i
\(199\) 3.57311e36 + 6.18880e36i 0.590741 + 1.02319i 0.994133 + 0.108166i \(0.0344977\pi\)
−0.403392 + 0.915027i \(0.632169\pi\)
\(200\) −4.79609e36 + 2.76902e36i −0.731825 + 0.422520i
\(201\) −3.62081e36 3.58952e36i −0.510117 0.505707i
\(202\) 1.35244e37 1.75994
\(203\) 6.70624e36 2.36699e36i 0.806386 0.284616i
\(204\) 8.26744e36 + 2.17683e36i 0.918943 + 0.241960i
\(205\) −3.20498e36 + 5.55118e36i −0.329430 + 0.570589i
\(206\) 1.64948e37 9.52328e36i 1.56845 0.905547i
\(207\) −5.95191e35 + 5.16741e33i −0.0523758 + 0.000454723i
\(208\) −1.08321e37 + 1.87618e37i −0.882471 + 1.52848i
\(209\) 5.49793e36i 0.414819i
\(210\) 8.16907e36 1.72735e37i 0.571036 1.20746i
\(211\) −1.59517e37 −1.03344 −0.516722 0.856153i \(-0.672848\pi\)
−0.516722 + 0.856153i \(0.672848\pi\)
\(212\) 4.96069e37 + 2.86406e37i 2.97967 + 1.72031i
\(213\) −5.34017e36 1.95893e37i −0.297496 1.09130i
\(214\) −1.58801e37 2.75051e37i −0.820791 1.42165i
\(215\) 1.62938e37 + 9.40723e36i 0.781641 + 0.451280i
\(216\) 3.17592e37 + 3.09426e37i 1.41452 + 1.37815i
\(217\) −1.33100e37 + 1.55514e37i −0.550583 + 0.643299i
\(218\) 4.04557e37i 1.55480i
\(219\) −1.37770e37 1.36579e37i −0.492093 0.487839i
\(220\) 5.67840e36 + 9.83527e36i 0.188566 + 0.326605i
\(221\) −1.62165e37 + 9.36259e36i −0.500818 + 0.289148i
\(222\) 5.00481e36 5.04845e36i 0.143794 0.145048i
\(223\) −4.54838e37 −1.21613 −0.608063 0.793889i \(-0.708053\pi\)
−0.608063 + 0.793889i \(0.708053\pi\)
\(224\) 1.35137e37 + 1.15660e37i 0.336362 + 0.287883i
\(225\) −1.60672e37 9.09135e36i −0.372409 0.210721i
\(226\) 4.98133e37 8.62792e37i 1.07550 1.86282i
\(227\) 5.74706e37 3.31806e37i 1.15620 0.667530i 0.205807 0.978593i \(-0.434018\pi\)
0.950390 + 0.311062i \(0.100685\pi\)
\(228\) −1.92085e38 + 5.23637e37i −3.60194 + 0.981913i
\(229\) −1.25545e37 + 2.17450e37i −0.219498 + 0.380182i −0.954655 0.297715i \(-0.903775\pi\)
0.735156 + 0.677898i \(0.237109\pi\)
\(230\) 4.29036e36i 0.0699598i
\(231\) 1.39868e37 + 6.61468e36i 0.212777 + 0.100628i
\(232\) −1.18956e38 −1.68880
\(233\) −8.95299e37 5.16901e37i −1.18651 0.685035i −0.229002 0.973426i \(-0.573546\pi\)
−0.957513 + 0.288391i \(0.906880\pi\)
\(234\) −1.83952e38 + 1.59706e36i −2.27641 + 0.0197637i
\(235\) 9.33253e36 + 1.61644e37i 0.107873 + 0.186842i
\(236\) 3.13162e38 + 1.80804e38i 3.38203 + 1.95262i
\(237\) −2.10891e37 + 8.00947e37i −0.212855 + 0.808408i
\(238\) 2.79423e37 + 7.91671e37i 0.263652 + 0.746988i
\(239\) 1.21110e38i 1.06860i −0.845296 0.534298i \(-0.820576\pi\)
0.845296 0.534298i \(-0.179424\pi\)
\(240\) −8.83357e37 + 8.91060e37i −0.729049 + 0.735406i
\(241\) −3.28126e37 5.68331e37i −0.253377 0.438863i 0.711076 0.703115i \(-0.248208\pi\)
−0.964454 + 0.264252i \(0.914875\pi\)
\(242\) 1.99888e38 1.15405e38i 1.44458 0.834028i
\(243\) −3.51482e37 + 1.43569e38i −0.237795 + 0.971315i
\(244\) 4.51011e38 2.85726
\(245\) 1.25938e38 1.96793e37i 0.747309 0.116776i
\(246\) 7.04494e37 2.67561e38i 0.391666 1.48752i
\(247\) 2.18036e38 3.77650e38i 1.13600 1.96761i
\(248\) 2.96518e38 1.71195e38i 1.44819 0.836111i
\(249\) 6.04917e37 + 2.21901e38i 0.277017 + 1.01618i
\(250\) 2.22028e38 3.84563e38i 0.953602 1.65169i
\(251\) 3.95553e38i 1.59377i 0.604132 + 0.796885i \(0.293520\pi\)
−0.604132 + 0.796885i \(0.706480\pi\)
\(252\) −9.78883e37 + 5.51665e38i −0.370103 + 2.08577i
\(253\) 3.47401e36 0.0123283
\(254\) 2.82761e38 + 1.63252e38i 0.942064 + 0.543901i
\(255\) −1.04631e38 + 2.85232e37i −0.327355 + 0.0892392i
\(256\) 3.44676e38 + 5.96996e38i 1.01291 + 1.75441i
\(257\) 5.59160e38 + 3.22831e38i 1.54385 + 0.891344i 0.998590 + 0.0530780i \(0.0169032\pi\)
0.545262 + 0.838266i \(0.316430\pi\)
\(258\) −7.85344e38 2.06783e38i −2.03772 0.536536i
\(259\) 4.66192e37 + 8.69030e36i 0.113702 + 0.0211953i
\(260\) 9.00773e38i 2.06558i
\(261\) −2.01243e38 3.41678e38i −0.433983 0.736833i
\(262\) 4.82211e38 + 8.35214e38i 0.978174 + 1.69425i
\(263\) −6.79434e38 + 3.92271e38i −1.29675 + 0.748677i −0.979841 0.199780i \(-0.935977\pi\)
−0.316905 + 0.948457i \(0.602644\pi\)
\(264\) −1.83790e38 1.82202e38i −0.330111 0.327257i
\(265\) −7.26628e38 −1.22851
\(266\) −1.48536e39 1.27128e39i −2.36443 2.02365i
\(267\) 2.71572e38 + 7.15054e37i 0.407103 + 0.107191i
\(268\) −5.38806e38 + 9.33240e38i −0.760810 + 1.31776i
\(269\) −1.70340e38 + 9.83461e37i −0.226611 + 0.130834i −0.609008 0.793164i \(-0.708432\pi\)
0.382397 + 0.923998i \(0.375099\pi\)
\(270\) −1.03262e39 2.62327e38i −1.29456 0.328869i
\(271\) 4.35593e38 7.54470e38i 0.514722 0.891524i −0.485132 0.874441i \(-0.661229\pi\)
0.999854 0.0170834i \(-0.00543808\pi\)
\(272\) 5.51282e38i 0.614146i
\(273\) −6.98419e38 1.00904e39i −0.733691 1.06001i
\(274\) −1.27214e39 −1.26046
\(275\) 9.33133e37 + 5.38745e37i 0.0872209 + 0.0503570i
\(276\) 3.30874e37 + 1.21374e38i 0.0291821 + 0.107048i
\(277\) −7.07990e38 1.22627e39i −0.589319 1.02073i −0.994322 0.106415i \(-0.966063\pi\)
0.405002 0.914316i \(-0.367271\pi\)
\(278\) 3.01201e39 + 1.73898e39i 2.36668 + 1.36640i
\(279\) 9.93356e38 + 5.62073e38i 0.736949 + 0.416990i
\(280\) −2.09600e39 3.90717e38i −1.46847 0.273737i
\(281\) 2.83165e39i 1.87387i −0.349506 0.936934i \(-0.613651\pi\)
0.349506 0.936934i \(-0.386349\pi\)
\(282\) −5.72157e38 5.67211e38i −0.357709 0.354617i
\(283\) −1.16719e39 2.02163e39i −0.689538 1.19431i −0.971988 0.235032i \(-0.924480\pi\)
0.282450 0.959282i \(-0.408853\pi\)
\(284\) −3.71649e39 + 2.14572e39i −2.07510 + 1.19806i
\(285\) 1.77808e39 1.79358e39i 0.938498 0.946682i
\(286\) 1.07369e39 0.535824
\(287\) 1.74048e39 6.14310e38i 0.821409 0.289919i
\(288\) 4.88427e38 8.63201e38i 0.218032 0.385329i
\(289\) −9.45710e38 + 1.63802e39i −0.399386 + 0.691756i
\(290\) 2.47535e39 1.42915e39i 0.989166 0.571096i
\(291\) −2.16331e39 + 5.89733e38i −0.818146 + 0.223032i
\(292\) −2.05012e39 + 3.55091e39i −0.733929 + 1.27120i
\(293\) 1.69276e39i 0.573736i −0.957970 0.286868i \(-0.907386\pi\)
0.957970 0.286868i \(-0.0926142\pi\)
\(294\) −5.02123e39 + 2.24926e39i −1.61158 + 0.721910i
\(295\) −4.58711e39 −1.39440
\(296\) −6.86951e38 3.96612e38i −0.197815 0.114208i
\(297\) 2.12412e38 8.36139e38i 0.0579530 0.228126i
\(298\) −4.91423e38 8.51170e38i −0.127056 0.220068i
\(299\) −2.38628e38 1.37772e38i −0.0584766 0.0337615i
\(300\) −9.93510e38 + 3.77327e39i −0.230798 + 0.876552i
\(301\) −1.80312e39 5.10866e39i −0.397155 1.12523i
\(302\) 9.41877e39i 1.96736i
\(303\) 3.54167e39 3.57255e39i 0.701659 0.707777i
\(304\) 6.41913e39 + 1.11183e40i 1.20642 + 2.08958i
\(305\) −4.95471e39 + 2.86060e39i −0.883529 + 0.510106i
\(306\) 4.03351e39 2.37567e39i 0.682559 0.402016i
\(307\) 1.04701e40 1.68165 0.840827 0.541304i \(-0.182069\pi\)
0.840827 + 0.541304i \(0.182069\pi\)
\(308\) 5.99264e38 3.21476e39i 0.0913707 0.490158i
\(309\) 1.80390e39 6.85107e39i 0.261142 0.991797i
\(310\) −4.11349e39 + 7.12478e39i −0.565488 + 0.979454i
\(311\) −6.63338e39 + 3.82979e39i −0.866102 + 0.500044i −0.866051 0.499956i \(-0.833349\pi\)
−5.07499e−5 1.00000i \(0.500016\pi\)
\(312\) 5.39873e39 + 1.98041e40i 0.669604 + 2.45630i
\(313\) 3.55728e39 6.16138e39i 0.419187 0.726054i −0.576671 0.816977i \(-0.695648\pi\)
0.995858 + 0.0909231i \(0.0289817\pi\)
\(314\) 2.76354e40i 3.09450i
\(315\) −2.42364e39 6.68135e39i −0.257928 0.711042i
\(316\) 1.75056e40 1.77086
\(317\) 2.03465e39 + 1.17471e39i 0.195678 + 0.112975i 0.594638 0.803994i \(-0.297295\pi\)
−0.398960 + 0.916968i \(0.630629\pi\)
\(318\) 3.02601e40 8.24911e39i 2.76717 0.754351i
\(319\) 1.15721e39 + 2.00435e39i 0.100638 + 0.174310i
\(320\) −4.65040e39 2.68491e39i −0.384672 0.222091i
\(321\) −1.14242e40 3.00801e39i −0.898968 0.236700i
\(322\) −8.03293e38 + 9.38565e38i −0.0601423 + 0.0702701i
\(323\) 1.10966e40i 0.790584i
\(324\) 3.12359e40 5.42416e38i 2.11804 0.0367801i
\(325\) −4.27310e39 7.40122e39i −0.275809 0.477716i
\(326\) −2.16827e40 + 1.25185e40i −1.33239 + 0.769258i
\(327\) 1.06866e40 + 1.05942e40i 0.625280 + 0.619875i
\(328\) −3.08729e40 −1.72027
\(329\) 9.84900e38 5.28350e39i 0.0522706 0.280406i
\(330\) 6.01346e39 + 1.58336e39i 0.304020 + 0.0800490i
\(331\) 1.80622e40 3.12847e40i 0.870009 1.50690i 0.00802237 0.999968i \(-0.497446\pi\)
0.861986 0.506931i \(-0.169220\pi\)
\(332\) 4.20991e40 2.43060e40i 1.93225 1.11559i
\(333\) −2.29559e37 2.64410e39i −0.00100412 0.115656i
\(334\) 9.98947e39 1.73023e40i 0.416484 0.721372i
\(335\) 1.36698e40i 0.543308i
\(336\) 3.60079e40 2.95367e39i 1.36449 0.111926i
\(337\) 3.15715e40 1.14082 0.570410 0.821360i \(-0.306784\pi\)
0.570410 + 0.821360i \(0.306784\pi\)
\(338\) −2.93740e40 1.69591e40i −1.01227 0.584433i
\(339\) −9.74640e39 3.57525e40i −0.320368 1.17520i
\(340\) 1.14608e40 + 1.98507e40i 0.359379 + 0.622463i
\(341\) −5.76910e39 3.33079e39i −0.172599 0.0996500i
\(342\) −5.36855e40 + 9.48788e40i −1.53264 + 2.70864i
\(343\) −3.12350e40 1.92746e40i −0.851013 0.525145i
\(344\) 9.06181e40i 2.35657i
\(345\) −1.13332e39 1.12353e39i −0.0281351 0.0278919i
\(346\) −1.23252e40 2.13478e40i −0.292129 0.505982i
\(347\) −5.44628e40 + 3.14441e40i −1.23262 + 0.711653i −0.967575 0.252584i \(-0.918720\pi\)
−0.265044 + 0.964236i \(0.585386\pi\)
\(348\) −5.90059e40 + 5.95204e40i −1.27534 + 1.28646i
\(349\) −4.29274e40 −0.886191 −0.443095 0.896474i \(-0.646120\pi\)
−0.443095 + 0.896474i \(0.646120\pi\)
\(350\) −3.61320e40 + 1.27529e40i −0.712530 + 0.251490i
\(351\) −4.77500e40 + 4.90101e40i −0.899621 + 0.923362i
\(352\) −2.89437e39 + 5.01320e39i −0.0521041 + 0.0902469i
\(353\) −7.38504e40 + 4.26376e40i −1.27045 + 0.733495i −0.975073 0.221885i \(-0.928779\pi\)
−0.295378 + 0.955380i \(0.595446\pi\)
\(354\) 1.91028e41 5.20757e40i 3.14084 0.856214i
\(355\) 2.72190e40 4.71448e40i 0.427779 0.740934i
\(356\) 5.93551e40i 0.891781i
\(357\) 2.82297e40 + 1.33505e40i 0.405523 + 0.191782i
\(358\) 6.80763e40 0.935121
\(359\) 1.17637e40 + 6.79178e39i 0.154537 + 0.0892220i 0.575274 0.817960i \(-0.304895\pi\)
−0.420737 + 0.907183i \(0.638229\pi\)
\(360\) 1.03210e39 + 1.18879e41i 0.0129682 + 1.49370i
\(361\) −8.76093e40 1.51744e41i −1.05302 1.82388i
\(362\) −4.78460e39 2.76239e39i −0.0550185 0.0317649i
\(363\) 2.18601e40 8.30230e40i 0.240517 0.913466i
\(364\) −1.68654e41 + 1.97054e41i −1.77572 + 2.07474i
\(365\) 5.20128e40i 0.524112i
\(366\) 1.73861e41 1.75377e41i 1.67689 1.69152i
\(367\) 6.88596e40 + 1.19268e41i 0.635781 + 1.10120i 0.986349 + 0.164668i \(0.0526551\pi\)
−0.350568 + 0.936537i \(0.614012\pi\)
\(368\) 7.02536e39 4.05610e39i 0.0621017 0.0358544i
\(369\) −5.22290e40 8.86764e40i −0.442069 0.750561i
\(370\) 1.90596e40 0.154485
\(371\) 1.58958e41 + 1.36048e41i 1.23396 + 1.05611i
\(372\) 6.14238e40 2.33282e41i 0.456719 1.73458i
\(373\) −5.38515e40 + 9.32735e40i −0.383580 + 0.664380i −0.991571 0.129564i \(-0.958642\pi\)
0.607991 + 0.793944i \(0.291976\pi\)
\(374\) −2.36614e40 + 1.36609e40i −0.161471 + 0.0932252i
\(375\) −4.34416e40 1.59356e41i −0.284057 1.04200i
\(376\) −4.49493e40 + 7.78544e40i −0.281655 + 0.487840i
\(377\) 1.83571e41i 1.10241i
\(378\) 1.76782e41 + 2.50727e41i 1.01758 + 1.44322i
\(379\) −1.01634e41 −0.560806 −0.280403 0.959882i \(-0.590468\pi\)
−0.280403 + 0.959882i \(0.590468\pi\)
\(380\) −4.62284e41 2.66900e41i −2.44552 1.41192i
\(381\) 1.17171e41 3.19417e40i 0.594321 0.162016i
\(382\) −2.23834e41 3.87692e41i −1.08871 1.88570i
\(383\) 1.94093e41 + 1.12060e41i 0.905377 + 0.522720i 0.878941 0.476931i \(-0.158251\pi\)
0.0264364 + 0.999650i \(0.491584\pi\)
\(384\) 3.19840e41 + 8.42144e40i 1.43098 + 0.376779i
\(385\) 1.38067e40 + 3.91175e40i 0.0592539 + 0.167880i
\(386\) 2.23555e41i 0.920422i
\(387\) −2.60282e41 + 1.53302e41i −1.02818 + 0.605583i
\(388\) 2.36959e41 + 4.10425e41i 0.898184 + 1.55570i
\(389\) 3.14084e41 1.81337e41i 1.14249 0.659617i 0.195444 0.980715i \(-0.437385\pi\)
0.947046 + 0.321098i \(0.104052\pi\)
\(390\) −3.50269e41 3.47241e41i −1.22284 1.21226i
\(391\) 7.01165e39 0.0234959
\(392\) 3.85370e41 + 4.77913e41i 1.23965 + 1.53735i
\(393\) 3.46904e41 + 9.13404e40i 1.07134 + 0.282087i
\(394\) −1.61497e40 + 2.79721e40i −0.0478878 + 0.0829440i
\(395\) −1.92313e41 + 1.11032e41i −0.547590 + 0.316151i
\(396\) −1.82331e41 + 1.58299e39i −0.498583 + 0.00432867i
\(397\) 8.87766e40 1.53766e41i 0.233158 0.403842i −0.725578 0.688140i \(-0.758427\pi\)
0.958736 + 0.284299i \(0.0917607\pi\)
\(398\) 8.27025e41i 2.08636i
\(399\) −7.24792e41 + 5.94533e40i −1.75649 + 0.144082i
\(400\) 2.51606e41 0.585815
\(401\) −2.56843e41 1.48288e41i −0.574590 0.331739i 0.184391 0.982853i \(-0.440969\pi\)
−0.758980 + 0.651114i \(0.774302\pi\)
\(402\) 1.55188e41 + 5.69274e41i 0.333612 + 1.22378i
\(403\) 2.64184e41 + 4.57581e41i 0.545791 + 0.945337i
\(404\) −9.20800e41 5.31624e41i −1.82837 1.05561i
\(405\) −3.39710e41 + 2.04077e41i −0.648377 + 0.389505i
\(406\) −8.09094e41 1.50824e41i −1.48451 0.276728i
\(407\) 1.54330e40i 0.0272233i
\(408\) −3.70947e41 3.67741e41i −0.629143 0.623705i
\(409\) −2.06103e41 3.56981e41i −0.336133 0.582199i 0.647569 0.762007i \(-0.275786\pi\)
−0.983702 + 0.179808i \(0.942452\pi\)
\(410\) 6.42433e41 3.70909e41i 1.00760 0.581736i
\(411\) −3.33139e41 + 3.36044e41i −0.502523 + 0.506905i
\(412\) −1.49738e42 −2.17259
\(413\) 1.00348e42 + 8.58855e41i 1.40058 + 1.19872i
\(414\) 5.99516e40 + 3.39225e40i 0.0804999 + 0.0455494i
\(415\) −3.08328e41 + 5.34040e41i −0.398330 + 0.689929i
\(416\) 3.97626e41 2.29569e41i 0.494289 0.285378i
\(417\) 1.24812e42 3.40247e41i 1.49307 0.407021i
\(418\) 3.18135e41 5.51026e41i 0.366261 0.634383i
\(419\) 1.13193e41i 0.125428i 0.998032 + 0.0627140i \(0.0199756\pi\)
−0.998032 + 0.0627140i \(0.980024\pi\)
\(420\) −1.23518e42 + 8.54939e41i −1.31747 + 0.911899i
\(421\) −5.66155e40 −0.0581329 −0.0290664 0.999577i \(-0.509253\pi\)
−0.0290664 + 0.999577i \(0.509253\pi\)
\(422\) 1.59875e42 + 9.23036e41i 1.58045 + 0.912472i
\(423\) −2.99664e41 + 2.60166e39i −0.285226 + 0.00247631i
\(424\) −1.74987e42 3.03086e42i −1.60380 2.77787i
\(425\) 1.88336e41 + 1.08736e41i 0.166230 + 0.0959732i
\(426\) −5.98309e41 + 2.27233e42i −0.508595 + 1.93160i
\(427\) 1.61950e42 + 3.01891e41i 1.32597 + 0.247175i
\(428\) 2.49689e42i 1.96924i
\(429\) 2.81169e41 2.83621e41i 0.213625 0.215487i
\(430\) −1.08869e42 1.88567e42i −0.796910 1.38029i
\(431\) 1.81240e40 1.04639e40i 0.0127826 0.00738003i −0.493595 0.869692i \(-0.664318\pi\)
0.506378 + 0.862312i \(0.330984\pi\)
\(432\) −5.46685e41 1.93890e42i −0.371533 1.31769i
\(433\) 1.11738e42 0.731803 0.365902 0.930654i \(-0.380761\pi\)
0.365902 + 0.930654i \(0.380761\pi\)
\(434\) 2.23386e42 7.88448e41i 1.41000 0.497666i
\(435\) 2.70709e41 1.02813e42i 0.164693 0.625490i
\(436\) 1.59025e42 2.75439e42i 0.932570 1.61526i
\(437\) −1.41411e41 + 8.16438e40i −0.0799430 + 0.0461551i
\(438\) 5.90480e41 + 2.16605e42i 0.321825 + 1.18054i
\(439\) −1.28600e42 + 2.22741e42i −0.675783 + 1.17049i 0.300456 + 0.953796i \(0.402861\pi\)
−0.976239 + 0.216695i \(0.930472\pi\)
\(440\) 6.93872e41i 0.351590i
\(441\) −7.20764e41 + 1.91540e42i −0.352189 + 0.935929i
\(442\) 2.16705e42 1.02120
\(443\) −2.36876e42 1.36760e42i −1.07662 0.621585i −0.146635 0.989191i \(-0.546844\pi\)
−0.929982 + 0.367606i \(0.880178\pi\)
\(444\) −5.39195e41 + 1.46989e41i −0.236384 + 0.0644400i
\(445\) 3.76469e41 + 6.52063e41i 0.159209 + 0.275759i
\(446\) 4.55858e42 + 2.63190e42i 1.85982 + 1.07377i
\(447\) −3.53531e41 9.30855e40i −0.139158 0.0366405i
\(448\) 5.14627e41 + 1.45806e42i 0.195454 + 0.553767i
\(449\) 7.19155e41i 0.263561i 0.991279 + 0.131781i \(0.0420694\pi\)
−0.991279 + 0.131781i \(0.957931\pi\)
\(450\) 1.08426e42 + 1.84090e42i 0.383471 + 0.651072i
\(451\) 3.00334e41 + 5.20193e41i 0.102513 + 0.177558i
\(452\) −6.78300e42 + 3.91617e42i −2.23464 + 1.29017i
\(453\) −2.48802e42 2.46651e42i −0.791193 0.784353i
\(454\) −7.67993e42 −2.35757
\(455\) 6.02946e41 3.23451e42i 0.178688 0.958574i
\(456\) 1.17632e43 + 3.09729e42i 3.36581 + 0.886225i
\(457\) 5.32525e41 9.22360e41i 0.147123 0.254824i −0.783040 0.621971i \(-0.786332\pi\)
0.930163 + 0.367147i \(0.119665\pi\)
\(458\) 2.51653e42 1.45292e42i 0.671359 0.387609i
\(459\) 4.28715e41 1.68759e42i 0.110450 0.434776i
\(460\) −1.68647e41 + 2.92106e41i −0.0419618 + 0.0726800i
\(461\) 3.25791e42i 0.782932i −0.920193 0.391466i \(-0.871968\pi\)
0.920193 0.391466i \(-0.128032\pi\)
\(462\) −1.01906e42 1.47229e42i −0.236552 0.341760i
\(463\) 1.90841e42 0.427933 0.213966 0.976841i \(-0.431362\pi\)
0.213966 + 0.976841i \(0.431362\pi\)
\(464\) 4.68038e42 + 2.70222e42i 1.01390 + 0.585374i
\(465\) 8.04840e41 + 2.95238e42i 0.168447 + 0.617910i
\(466\) 5.98205e42 + 1.03612e43i 1.20969 + 2.09525i
\(467\) 8.02615e42 + 4.63390e42i 1.56833 + 0.905475i 0.996364 + 0.0851968i \(0.0271519\pi\)
0.571965 + 0.820278i \(0.306181\pi\)
\(468\) 1.25870e43 + 7.12213e42i 2.37678 + 1.34486i
\(469\) −2.55943e42 + 2.99043e42i −0.467066 + 0.545718i
\(470\) 2.16009e42i 0.380984i
\(471\) 7.30003e42 + 7.23693e42i 1.24449 + 1.23373i
\(472\) −1.10467e43 1.91334e43i −1.82037 3.15298i
\(473\) 1.52687e42 8.81538e41i 0.243234 0.140431i
\(474\) 6.74829e42 6.80713e42i 1.03930 1.04836i
\(475\) −5.06449e42 −0.754115
\(476\) 1.20951e42 6.48840e42i 0.174139 0.934171i
\(477\) 5.74522e42 1.01536e43i 0.799857 1.41359i
\(478\) −7.00798e42 + 1.21382e43i −0.943510 + 1.63421i
\(479\) 4.44237e42 2.56480e42i 0.578424 0.333953i −0.182083 0.983283i \(-0.558284\pi\)
0.760507 + 0.649330i \(0.224951\pi\)
\(480\) 2.56554e42 6.99385e41i 0.323087 0.0880758i
\(481\) 6.12042e41 1.06009e42i 0.0745521 0.129128i
\(482\) 7.59475e42i 0.894872i
\(483\) 3.75671e40 + 4.57978e41i 0.00428207 + 0.0522024i
\(484\) −1.81456e43 −2.00100
\(485\) −5.20635e42 3.00589e42i −0.555477 0.320705i
\(486\) 1.18303e43 1.23553e43i 1.22128 1.27548i
\(487\) −1.81190e42 3.13831e42i −0.180997 0.313496i 0.761223 0.648490i \(-0.224599\pi\)
−0.942220 + 0.334994i \(0.891266\pi\)
\(488\) −2.38639e43 1.37778e43i −2.30688 1.33188i
\(489\) −2.37126e42 + 9.00587e42i −0.221839 + 0.842527i
\(490\) −1.37608e43 5.31501e42i −1.24597 0.481246i
\(491\) 6.48571e42i 0.568399i −0.958765 0.284200i \(-0.908272\pi\)
0.958765 0.284200i \(-0.0917278\pi\)
\(492\) −1.53139e43 + 1.54474e43i −1.29911 + 1.31043i
\(493\) 2.33563e42 + 4.04542e42i 0.191802 + 0.332210i
\(494\) −4.37051e43 + 2.52331e43i −3.47457 + 2.00604i
\(495\) 1.99301e42 1.17385e42i 0.153400 0.0903504i
\(496\) −1.55555e43 −1.15925
\(497\) −1.47815e43 + 5.21717e42i −1.06663 + 0.376472i
\(498\) 6.77744e42 2.57402e43i 0.473583 1.79863i
\(499\) −6.43666e42 + 1.11486e43i −0.435564 + 0.754419i −0.997341 0.0728694i \(-0.976784\pi\)
0.561777 + 0.827288i \(0.310118\pi\)
\(500\) −3.02332e43 + 1.74551e43i −1.98136 + 1.14394i
\(501\) −1.95452e42 7.16975e42i −0.124062 0.455093i
\(502\) 2.28885e43 3.96441e43i 1.40721 2.43736i
\(503\) 9.53259e42i 0.567706i 0.958868 + 0.283853i \(0.0916127\pi\)
−0.958868 + 0.283853i \(0.908387\pi\)
\(504\) 2.20322e43 2.61994e43i 1.27107 1.51148i
\(505\) 1.34876e43 0.753830
\(506\) −3.48180e41 2.01022e41i −0.0188537 0.0108852i
\(507\) −1.21720e43 + 3.31819e42i −0.638610 + 0.174090i
\(508\) −1.28344e43 2.22298e43i −0.652463 1.13010i
\(509\) 2.10353e42 + 1.21447e42i 0.103625 + 0.0598278i 0.550917 0.834560i \(-0.314278\pi\)
−0.447292 + 0.894388i \(0.647612\pi\)
\(510\) 1.21371e43 + 3.19572e42i 0.579417 + 0.152562i
\(511\) −9.73846e42 + 1.13784e43i −0.450563 + 0.526437i
\(512\) 4.67785e43i 2.09762i
\(513\) 1.10040e43 + 3.90274e43i 0.478271 + 1.69626i
\(514\) −3.73609e43 6.47110e43i −1.57401 2.72627i
\(515\) 1.64499e43 9.49735e42i 0.671812 0.387871i
\(516\) 4.53413e43 + 4.49493e43i 1.79514 + 1.77962i
\(517\) 1.74908e42 0.0671367
\(518\) −4.16952e42 3.56858e42i −0.155171 0.132806i
\(519\) −8.86675e42 2.33463e42i −0.319953 0.0842444i
\(520\) −2.75175e43 + 4.76617e43i −0.962843 + 1.66769i
\(521\) −2.16079e43 + 1.24753e43i −0.733177 + 0.423300i −0.819583 0.572960i \(-0.805795\pi\)
0.0864063 + 0.996260i \(0.472462\pi\)
\(522\) 3.98408e41 + 4.58893e43i 0.0131099 + 1.51002i
\(523\) −5.36872e42 + 9.29890e42i −0.171334 + 0.296759i −0.938887 0.344227i \(-0.888141\pi\)
0.767552 + 0.640986i \(0.221474\pi\)
\(524\) 7.58198e43i 2.34683i
\(525\) −6.09320e42 + 1.28841e43i −0.182935 + 0.386816i
\(526\) 9.07944e43 2.64416
\(527\) −1.16439e43 6.72260e42i −0.328948 0.189918i
\(528\) 3.09240e42 + 1.13438e43i 0.0847526 + 0.310896i
\(529\) −1.87529e43 3.24809e43i −0.498628 0.863650i
\(530\) 7.28258e43 + 4.20460e43i 1.87876 + 1.08470i
\(531\) 3.62689e43 6.40983e43i 0.907866 1.60448i
\(532\) 5.11577e43 + 1.44942e44i 1.24258 + 3.52052i
\(533\) 4.76424e43i 1.12294i
\(534\) −2.30805e43 2.28810e43i −0.527940 0.523376i
\(535\) −1.58369e43 2.74303e43i −0.351567 0.608933i
\(536\) 5.70186e43 3.29197e43i 1.22851 0.709283i
\(537\) 1.78273e43 1.79827e43i 0.372818 0.376069i
\(538\) 2.27630e43 0.462076
\(539\) 4.30369e42 1.11425e43i 0.0848049 0.219564i
\(540\) 5.99936e43 + 5.84511e43i 1.14764 + 1.11813i
\(541\) 2.88353e43 4.99442e43i 0.535510 0.927531i −0.463628 0.886030i \(-0.653453\pi\)
0.999138 0.0415013i \(-0.0132141\pi\)
\(542\) −8.73141e43 + 5.04108e43i −1.57433 + 0.908940i
\(543\) −1.98265e42 + 5.40485e41i −0.0347096 + 0.00946208i
\(544\) −5.84176e42 + 1.01182e43i −0.0993028 + 0.171997i
\(545\) 4.03456e43i 0.665965i
\(546\) 1.16106e43 + 1.41545e44i 0.186112 + 2.26888i
\(547\) −1.23646e43 −0.192478 −0.0962390 0.995358i \(-0.530681\pi\)
−0.0962390 + 0.995358i \(0.530681\pi\)
\(548\) 8.66130e43 + 5.00060e43i 1.30947 + 0.756020i
\(549\) −7.97460e41 9.18528e43i −0.0117099 1.34876i
\(550\) −6.23485e42 1.07991e43i −0.0889248 0.154022i
\(551\) −9.42099e43 5.43921e43i −1.30518 0.753547i
\(552\) 1.95710e42 7.43291e42i 0.0263383 0.100031i
\(553\) 6.28594e43 + 1.17177e43i 0.821804 + 0.153193i
\(554\) 1.63870e44i 2.08134i
\(555\) 4.99119e42 5.03471e42i 0.0615908 0.0621279i
\(556\) −1.36713e44 2.36794e44i −1.63913 2.83906i
\(557\) 1.01768e44 5.87559e43i 1.18558 0.684493i 0.228278 0.973596i \(-0.426690\pi\)
0.957298 + 0.289103i \(0.0933572\pi\)
\(558\) −6.70344e43 1.13813e44i −0.758840 1.28839i
\(559\) −1.39840e44 −1.53830
\(560\) 7.35926e43 + 6.29860e43i 0.786730 + 0.673342i
\(561\) −2.58765e42 + 9.82768e42i −0.0268843 + 0.102105i
\(562\) −1.63852e44 + 2.83801e44i −1.65452 + 2.86571i
\(563\) 2.22019e43 1.28183e43i 0.217899 0.125804i −0.387078 0.922047i \(-0.626516\pi\)
0.604977 + 0.796243i \(0.293182\pi\)
\(564\) 1.66587e43 + 6.11087e43i 0.158919 + 0.582958i
\(565\) 4.96777e43 8.60443e43i 0.460666 0.797897i
\(566\) 2.70155e44i 2.43529i
\(567\) 1.12525e44 + 1.89605e43i 0.986099 + 0.166158i
\(568\) 2.62196e44 2.23384
\(569\) −1.46613e43 8.46470e42i −0.121444 0.0701157i 0.438047 0.898952i \(-0.355670\pi\)
−0.559491 + 0.828836i \(0.689004\pi\)
\(570\) −2.81992e44 + 7.68730e43i −2.27111 + 0.619122i
\(571\) −8.40560e43 1.45589e44i −0.658250 1.14012i −0.981068 0.193662i \(-0.937964\pi\)
0.322818 0.946461i \(-0.395370\pi\)
\(572\) −7.31014e43 4.22051e43i −0.556659 0.321387i
\(573\) −1.61027e44 4.23987e43i −1.19241 0.313963i
\(574\) −2.09986e44 3.91435e43i −1.51217 0.281884i
\(575\) 3.20013e42i 0.0224120i
\(576\) 7.42870e43 4.37539e43i 0.506003 0.298028i
\(577\) −1.05128e44 1.82087e44i −0.696475 1.20633i −0.969681 0.244375i \(-0.921417\pi\)
0.273206 0.961956i \(-0.411916\pi\)
\(578\) 1.89566e44 1.09446e44i 1.22156 0.705269i
\(579\) −5.90532e43 5.85427e43i −0.370157 0.366957i
\(580\) −2.24710e44 −1.37017
\(581\) 1.67440e44 5.90984e43i 0.993208 0.350556i
\(582\) 2.50941e44 + 6.60733e43i 1.44812 + 0.381292i
\(583\) −3.40456e43 + 5.89688e43i −0.191146 + 0.331074i
\(584\) 2.16952e44 1.25257e44i 1.18511 0.684223i
\(585\) −1.83451e44 + 1.59271e42i −0.975050 + 0.00846532i
\(586\) −9.79506e43 + 1.69655e44i −0.506577 + 0.877416i
\(587\) 4.97036e43i 0.250137i −0.992148 0.125069i \(-0.960085\pi\)
0.992148 0.125069i \(-0.0399151\pi\)
\(588\) 4.30281e44 + 4.42374e43i 2.10725 + 0.216647i
\(589\) 3.13112e44 1.49230
\(590\) 4.59740e44 + 2.65431e44i 2.13246 + 1.23118i
\(591\) 3.15982e42 + 1.15911e43i 0.0142647 + 0.0523270i
\(592\) 1.80189e43 + 3.12097e43i 0.0791739 + 0.137133i
\(593\) −3.25096e44 1.87694e44i −1.39039 0.802741i −0.397030 0.917806i \(-0.629959\pi\)
−0.993358 + 0.115065i \(0.963292\pi\)
\(594\) −6.96717e43 + 7.15103e43i −0.290050 + 0.297705i
\(595\) 2.78662e43 + 7.89516e43i 0.112929 + 0.319956i
\(596\) 7.72683e43i 0.304833i
\(597\) −2.18463e44 2.16575e44i −0.839052 0.831799i
\(598\) 1.59442e43 + 2.76162e43i 0.0596189 + 0.103263i
\(599\) 3.14296e44 1.81459e44i 1.14422 0.660615i 0.196747 0.980454i \(-0.436962\pi\)
0.947472 + 0.319839i \(0.103629\pi\)
\(600\) 1.67837e44 1.69301e44i 0.594933 0.600121i
\(601\) 3.25807e44 1.12452 0.562262 0.826959i \(-0.309931\pi\)
0.562262 + 0.826959i \(0.309931\pi\)
\(602\) −1.14894e44 + 6.16349e44i −0.386148 + 2.07149i
\(603\) 1.91016e44 + 1.08083e44i 0.625163 + 0.353737i
\(604\) −3.70237e44 + 6.41269e44i −1.18002 + 2.04385i
\(605\) 1.99344e44 1.15091e44i 0.618753 0.357237i
\(606\) −5.61686e44 + 1.53120e44i −1.69797 + 0.462880i
\(607\) −1.31030e44 + 2.26950e44i −0.385790 + 0.668207i −0.991878 0.127190i \(-0.959404\pi\)
0.606089 + 0.795397i \(0.292738\pi\)
\(608\) 2.72086e44i 0.780278i
\(609\) −2.51720e44 + 1.74230e44i −0.703138 + 0.486683i
\(610\) 6.62110e44 1.80158
\(611\) −1.20143e44 6.93647e43i −0.318449 0.183857i
\(612\) −3.68002e44 + 3.19497e42i −0.950227 + 0.00824981i
\(613\) 4.16123e43 + 7.20747e43i 0.104678 + 0.181307i 0.913606 0.406600i \(-0.133286\pi\)
−0.808929 + 0.587907i \(0.799952\pi\)
\(614\) −1.04936e45 6.05847e44i −2.57176 1.48480i
\(615\) 7.02576e43 2.66833e44i 0.167761 0.637144i
\(616\) −1.29915e44 + 1.51792e44i −0.302251 + 0.353149i
\(617\) 2.20945e43i 0.0500867i −0.999686 0.0250433i \(-0.992028\pi\)
0.999686 0.0250433i \(-0.00797238\pi\)
\(618\) −5.77229e44 + 5.82262e44i −1.27507 + 1.28618i
\(619\) −9.55597e43 1.65514e44i −0.205695 0.356275i 0.744659 0.667445i \(-0.232612\pi\)
−0.950354 + 0.311171i \(0.899279\pi\)
\(620\) 5.60128e44 3.23390e44i 1.17495 0.678359i
\(621\) 2.46605e43 6.95318e42i 0.0504122 0.0142140i
\(622\) 8.86435e44 1.76604
\(623\) 3.97303e43 2.13133e44i 0.0771459 0.413849i
\(624\) 2.37456e44 9.01838e44i 0.449396 1.70677i
\(625\) 1.05443e44 1.82632e44i 0.194508 0.336897i
\(626\) −7.13051e44 + 4.11680e44i −1.28213 + 0.740237i
\(627\) −6.22459e43 2.28335e44i −0.109101 0.400214i
\(628\) 1.08630e45 1.88153e45i 1.85608 3.21483i
\(629\) 3.11488e43i 0.0518837i
\(630\) −1.43706e44 + 8.09877e44i −0.233359 + 1.31513i
\(631\) 8.63266e44 1.36670 0.683352 0.730089i \(-0.260521\pi\)
0.683352 + 0.730089i \(0.260521\pi\)
\(632\) −9.26258e44 5.34775e44i −1.42975 0.825464i
\(633\) 6.62492e44 1.80600e44i 0.997060 0.271806i
\(634\) −1.35948e44 2.35468e44i −0.199500 0.345545i
\(635\) 2.81992e44 + 1.62808e44i 0.403512 + 0.232968i
\(636\) −2.38449e45 6.27842e44i −3.32723 0.876065i
\(637\) −7.37505e44 + 5.94694e44i −1.00354 + 0.809213i
\(638\) 2.67847e44i 0.355431i
\(639\) 4.43567e44 + 7.53106e44i 0.574045 + 0.974635i
\(640\) 4.43381e44 + 7.67958e44i 0.559625 + 0.969299i
\(641\) 5.40164e44 3.11864e44i 0.664963 0.383917i −0.129202 0.991618i \(-0.541242\pi\)
0.794165 + 0.607702i \(0.207908\pi\)
\(642\) 9.70924e44 + 9.62531e44i 1.16580 + 1.15572i
\(643\) −1.06196e45 −1.24374 −0.621872 0.783119i \(-0.713628\pi\)
−0.621872 + 0.783119i \(0.713628\pi\)
\(644\) 9.15851e43 3.23253e43i 0.104629 0.0369291i
\(645\) −7.83207e44 2.06220e44i −0.872813 0.229813i
\(646\) 6.42098e44 1.11215e45i 0.698041 1.20904i
\(647\) −3.82157e44 + 2.20638e44i −0.405296 + 0.233998i −0.688767 0.724983i \(-0.741848\pi\)
0.283470 + 0.958981i \(0.408514\pi\)
\(648\) −1.66932e45 9.25516e44i −1.72719 0.957599i
\(649\) −2.14926e44 + 3.72263e44i −0.216957 + 0.375781i
\(650\) 9.89043e44i 0.974096i
\(651\) 3.76712e44 7.96559e44i 0.362005 0.765459i
\(652\) 1.96834e45 1.84560
\(653\) 1.03752e45 + 5.99014e44i 0.949263 + 0.548057i 0.892852 0.450351i \(-0.148701\pi\)
0.0564109 + 0.998408i \(0.482034\pi\)
\(654\) −4.58027e44 1.68017e45i −0.408928 1.50006i
\(655\) 4.80898e44 + 8.32940e44i 0.418979 + 0.725693i
\(656\) 1.21471e45 + 7.01313e44i 1.03279 + 0.596280i
\(657\) 7.26803e44 + 4.11249e44i 0.603075 + 0.341239i
\(658\) −4.04438e44 + 4.72544e44i −0.327520 + 0.382674i
\(659\) 2.12416e45i 1.67889i −0.543447 0.839443i \(-0.682881\pi\)
0.543447 0.839443i \(-0.317119\pi\)
\(660\) −3.47183e44 3.44181e44i −0.267827 0.265512i
\(661\) −3.02037e44 5.23144e44i −0.227425 0.393911i 0.729620 0.683853i \(-0.239697\pi\)
−0.957044 + 0.289942i \(0.906364\pi\)
\(662\) −3.62055e45 + 2.09033e45i −2.66101 + 1.53634i
\(663\) 5.67489e44 5.72438e44i 0.407138 0.410688i
\(664\) −2.97007e45 −2.08007
\(665\) −1.48132e45 1.26782e45i −1.01275 0.866787i
\(666\) −1.50699e44 + 2.66331e44i −0.100582 + 0.177760i
\(667\) −3.43690e43 + 5.95289e43i −0.0223952 + 0.0387895i
\(668\) −1.36025e45 + 7.85341e44i −0.865357 + 0.499614i
\(669\) 1.88899e45 5.14953e44i 1.17331 0.319853i
\(670\) −7.90999e44 + 1.37005e45i −0.479710 + 0.830882i
\(671\) 5.36126e44i 0.317473i
\(672\) −6.92189e44 3.27353e44i −0.400236 0.189282i
\(673\) −3.25403e45 −1.83730 −0.918652 0.395067i \(-0.870721\pi\)
−0.918652 + 0.395067i \(0.870721\pi\)
\(674\) −3.16423e45 1.82687e45i −1.74466 1.00728i
\(675\) 7.70220e44 + 1.95666e44i 0.414719 + 0.105355i
\(676\) 1.33327e45 + 2.30929e45i 0.701085 + 1.21431i
\(677\) −7.81705e44 4.51317e44i −0.401443 0.231773i 0.285663 0.958330i \(-0.407786\pi\)
−0.687106 + 0.726557i \(0.741119\pi\)
\(678\) −1.09198e45 + 4.14725e45i −0.547695 + 2.08010i
\(679\) 5.76150e44 + 1.63237e45i 0.282241 + 0.799654i
\(680\) 1.40045e45i 0.670080i
\(681\) −2.01116e45 + 2.02870e45i −0.939924 + 0.948120i
\(682\) 3.85469e44 + 6.67653e44i 0.175971 + 0.304790i
\(683\) −1.59932e45 + 9.23365e44i −0.713186 + 0.411758i −0.812240 0.583324i \(-0.801752\pi\)
0.0990534 + 0.995082i \(0.468419\pi\)
\(684\) 7.38467e45 4.34946e45i 3.21687 1.89469i
\(685\) −1.26868e45 −0.539888
\(686\) 2.01519e45 + 3.73919e45i 0.837782 + 1.55450i
\(687\) 2.75212e44 1.04523e45i 0.111779 0.424528i
\(688\) 2.05849e45 3.56541e45i 0.816834 1.41480i
\(689\) 4.67715e45 2.70036e45i 1.81332 1.04692i
\(690\) 4.85742e43 + 1.78184e44i 0.0184001 + 0.0674967i
\(691\) −1.21525e45 + 2.10488e45i −0.449799 + 0.779074i −0.998373 0.0570280i \(-0.981838\pi\)
0.548574 + 0.836102i \(0.315171\pi\)
\(692\) 1.93793e45i 0.700875i
\(693\) −6.55776e44 1.16362e44i −0.231752 0.0411224i
\(694\) 7.27801e45 2.51340
\(695\) 3.00381e45 + 1.73425e45i 1.01371 + 0.585268i
\(696\) 4.94039e45 1.34679e45i 1.62935 0.444172i
\(697\) 6.06169e44 + 1.04992e45i 0.195375 + 0.338400i
\(698\) 4.30237e45 + 2.48397e45i 1.35525 + 0.782456i
\(699\) 4.30350e45 + 1.13312e45i 1.32491 + 0.348852i
\(700\) 2.96131e45 + 5.52020e44i 0.891078 + 0.166106i
\(701\) 6.35584e44i 0.186932i −0.995622 0.0934662i \(-0.970205\pi\)
0.995622 0.0934662i \(-0.0297947\pi\)
\(702\) 7.62166e45 2.14898e45i 2.19107 0.617786i
\(703\) −3.62697e44 6.28210e44i −0.101920 0.176530i
\(704\) −4.35782e44 + 2.51599e44i −0.119704 + 0.0691109i
\(705\) −5.70600e44 5.65667e44i −0.153217 0.151892i
\(706\) 9.86882e45 2.59054
\(707\) −2.95057e45 2.52531e45i −0.757173 0.648045i
\(708\) −1.50530e46 3.96349e45i −3.77652 0.994365i
\(709\) 1.75593e45 3.04136e45i 0.430692 0.745981i −0.566241 0.824240i \(-0.691603\pi\)
0.996933 + 0.0782589i \(0.0249361\pi\)
\(710\) −5.45602e45 + 3.15004e45i −1.30841 + 0.755408i
\(711\) −3.09528e43 3.56519e45i −0.00725748 0.835929i
\(712\) −1.81323e45 + 3.14060e45i −0.415692 + 0.720000i
\(713\) 1.97848e44i 0.0443505i
\(714\) −2.05678e45 2.97155e45i −0.450835 0.651346i
\(715\) 1.07077e45 0.229508
\(716\) −4.63492e45 2.67597e45i −0.971481 0.560885i
\(717\) 1.37117e45 + 5.02984e45i 0.281051 + 1.03097i
\(718\) −7.86006e44 1.36140e45i −0.157556 0.272895i
\(719\) 1.49051e45 + 8.60546e44i 0.292195 + 0.168699i 0.638931 0.769264i \(-0.279377\pi\)
−0.346737 + 0.937963i \(0.612710\pi\)
\(720\) 2.65986e45 4.70079e45i 0.509962 0.901261i
\(721\) −5.37681e45 1.00229e45i −1.00823 0.187945i
\(722\) 2.02779e46i 3.71901i
\(723\) 2.00619e45 + 1.98885e45i 0.359882 + 0.356771i
\(724\) 2.17170e44 + 3.76150e44i 0.0381051 + 0.0660001i
\(725\) −1.84633e45 + 1.06598e45i −0.316885 + 0.182954i
\(726\) −6.99501e45 + 7.05600e45i −1.17436 + 1.18460i
\(727\) 1.14107e46 1.87397 0.936986 0.349368i \(-0.113604\pi\)
0.936986 + 0.349368i \(0.113604\pi\)
\(728\) 1.49436e46 5.27438e45i 2.40078 0.847363i
\(729\) −1.65698e44 6.36053e45i −0.0260422 0.999661i
\(730\) −3.00970e45 + 5.21295e45i −0.462761 + 0.801526i
\(731\) 3.08171e45 1.77923e45i 0.463568 0.267641i
\(732\) −1.87310e46 + 5.10621e45i −2.75667 + 0.751487i
\(733\) −3.02985e45 + 5.24786e45i −0.436273 + 0.755647i −0.997399 0.0720840i \(-0.977035\pi\)
0.561126 + 0.827730i \(0.310368\pi\)
\(734\) 1.59381e46i 2.24543i
\(735\) −5.00756e45 + 2.24314e45i −0.690286 + 0.309214i
\(736\) −1.71925e44 −0.0231896
\(737\) −1.10936e45 6.40490e44i −0.146418 0.0845343i
\(738\) 1.03400e44 + 1.19097e46i 0.0133542 + 1.53816i
\(739\) −1.19491e45 2.06965e45i −0.151017 0.261568i 0.780585 0.625050i \(-0.214921\pi\)
−0.931601 + 0.363481i \(0.881588\pi\)