Properties

Label 21.33.h.b.11.16
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 11.16
Character \(\chi\) \(=\) 21.11
Dual form 21.33.h.b.2.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-77640.0 + 44825.5i) q^{2} +(-2.98329e7 + 3.10325e7i) q^{3} +(1.87116e9 - 3.24095e9i) q^{4} +(-1.87248e11 + 1.08108e11i) q^{5} +(9.25177e11 - 3.74664e12i) q^{6} +(-3.25948e13 + 6.48148e12i) q^{7} -4.95447e13i q^{8} +(-7.30174e13 - 1.85158e15i) q^{9} +O(q^{10})\) \(q+(-77640.0 + 44825.5i) q^{2} +(-2.98329e7 + 3.10325e7i) q^{3} +(1.87116e9 - 3.24095e9i) q^{4} +(-1.87248e11 + 1.08108e11i) q^{5} +(9.25177e11 - 3.74664e12i) q^{6} +(-3.25948e13 + 6.48148e12i) q^{7} -4.95447e13i q^{8} +(-7.30174e13 - 1.85158e15i) q^{9} +(9.69196e15 - 1.67870e16i) q^{10} +(6.79138e16 + 3.92101e16i) q^{11} +(4.47527e16 + 1.54754e17i) q^{12} -9.87051e16 q^{13} +(2.24012e18 - 1.96430e18i) q^{14} +(2.23129e18 - 9.03594e18i) q^{15} +(1.02575e19 + 1.77664e19i) q^{16} +(-1.30043e18 - 7.50803e17i) q^{17} +(8.86671e19 + 1.40484e20i) q^{18} +(1.90435e20 + 3.29844e20i) q^{19} +8.09149e20i q^{20} +(7.71259e20 - 1.20486e21i) q^{21} -7.03044e21 q^{22} +(-7.02456e21 + 4.05563e21i) q^{23} +(1.53750e21 + 1.47806e21i) q^{24} +(1.17330e22 - 2.03222e22i) q^{25} +(7.66346e21 - 4.42450e21i) q^{26} +(5.96376e22 + 5.29721e22i) q^{27} +(-3.99840e22 + 1.17766e23i) q^{28} +9.97964e22i q^{29} +(2.31803e23 + 8.01570e23i) q^{30} +(4.09457e23 - 7.09200e23i) q^{31} +(-1.40849e24 - 8.13194e23i) q^{32} +(-3.24285e24 + 9.37789e23i) q^{33} +1.34620e23 q^{34} +(5.40260e24 - 4.73739e24i) q^{35} +(-6.13751e24 - 3.22797e24i) q^{36} +(1.02293e25 + 1.77176e25i) q^{37} +(-2.95708e25 - 1.70727e25i) q^{38} +(2.94466e24 - 3.06307e24i) q^{39} +(5.35616e24 + 9.27714e24i) q^{40} -2.78554e24i q^{41} +(-5.87213e24 + 1.28117e26i) q^{42} +1.29107e25 q^{43} +(2.54156e26 - 1.46737e26i) q^{44} +(2.13842e26 + 3.38811e26i) q^{45} +(3.63591e26 - 6.29758e26i) q^{46} +(-3.01411e26 + 1.74020e26i) q^{47} +(-8.57347e26 - 2.11709e26i) q^{48} +(1.02041e27 - 4.22525e26i) q^{49} +2.10375e27i q^{50} +(6.20949e25 - 1.79570e25i) q^{51} +(-1.84693e26 + 3.19898e26i) q^{52} +(-6.15871e27 - 3.55573e27i) q^{53} +(-7.00476e27 - 1.43947e27i) q^{54} -1.69556e28 q^{55} +(3.21123e26 + 1.61490e27i) q^{56} +(-1.59171e28 - 3.93050e27i) q^{57} +(-4.47342e27 - 7.74819e27i) q^{58} +(-1.02810e28 - 5.93574e27i) q^{59} +(-2.51099e28 - 2.41392e28i) q^{60} +(-1.19091e27 - 2.06271e27i) q^{61} +7.34164e28i q^{62} +(1.43810e28 + 5.98786e28i) q^{63} +5.76964e28 q^{64} +(1.84823e28 - 1.06708e28i) q^{65} +(2.09738e29 - 2.18172e29i) q^{66} +(-1.00790e29 + 1.74573e29i) q^{67} +(-4.86663e27 + 2.80975e27i) q^{68} +(8.37064e28 - 3.38981e29i) q^{69} +(-2.07103e29 + 6.09985e29i) q^{70} +1.06783e29i q^{71} +(-9.17360e28 + 3.61762e27i) q^{72} +(-1.32239e29 + 2.29045e29i) q^{73} +(-1.58840e30 - 9.17065e29i) q^{74} +(2.80619e29 + 9.70373e29i) q^{75} +1.42534e30 q^{76} +(-2.46777e30 - 8.37860e29i) q^{77} +(-9.13197e28 + 3.69812e29i) q^{78} +(3.41859e29 + 5.92117e29i) q^{79} +(-3.84137e30 - 2.21782e30i) q^{80} +(-3.42302e30 + 2.70395e29i) q^{81} +(1.24863e29 + 2.16270e29i) q^{82} +8.37104e30i q^{83} +(-2.46174e30 - 4.75410e30i) q^{84} +3.24670e29 q^{85} +(-1.00239e30 + 5.78730e29i) q^{86} +(-3.09694e30 - 2.97721e30i) q^{87} +(1.94265e30 - 3.36477e30i) q^{88} +(-1.33389e31 + 7.70119e30i) q^{89} +(-3.17901e31 - 1.67197e31i) q^{90} +(3.21727e30 - 6.39755e29i) q^{91} +3.03550e31i q^{92} +(9.79300e30 + 3.38640e31i) q^{93} +(1.56010e31 - 2.70218e31i) q^{94} +(-7.13173e31 - 4.11750e31i) q^{95} +(6.72549e31 - 1.94492e31i) q^{96} -7.68925e31 q^{97} +(-6.02846e31 + 7.85451e31i) q^{98} +(6.76417e31 - 1.28611e32i) 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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −77640.0 + 44825.5i −1.18469 + 0.683983i −0.957095 0.289773i \(-0.906420\pi\)
−0.227597 + 0.973755i \(0.573087\pi\)
\(3\) −2.98329e7 + 3.10325e7i −0.693035 + 0.720904i
\(4\) 1.87116e9 3.24095e9i 0.435664 0.754593i
\(5\) −1.87248e11 + 1.08108e11i −1.22715 + 0.708494i −0.966432 0.256921i \(-0.917292\pi\)
−0.260716 + 0.965416i \(0.583959\pi\)
\(6\) 9.25177e11 3.74664e12i 0.327948 1.32807i
\(7\) −3.25948e13 + 6.48148e12i −0.980797 + 0.195032i
\(8\) 4.95447e13i 0.176018i
\(9\) −7.30174e13 1.85158e15i −0.0394045 0.999223i
\(10\) 9.69196e15 1.67870e16i 0.969196 1.67870i
\(11\) 6.79138e16 + 3.92101e16i 1.47800 + 0.853325i 0.999691 0.0248649i \(-0.00791556\pi\)
0.478312 + 0.878190i \(0.341249\pi\)
\(12\) 4.47527e16 + 1.54754e17i 0.242058 + 0.837031i
\(13\) −9.87051e16 −0.148336 −0.0741679 0.997246i \(-0.523630\pi\)
−0.0741679 + 0.997246i \(0.523630\pi\)
\(14\) 2.24012e18 1.96430e18i 1.02854 0.901901i
\(15\) 2.23129e18 9.03594e18i 0.339701 1.37567i
\(16\) 1.02575e19 + 1.77664e19i 0.556058 + 0.963120i
\(17\) −1.30043e18 7.50803e17i −0.0267242 0.0154292i 0.486578 0.873637i \(-0.338245\pi\)
−0.513303 + 0.858208i \(0.671578\pi\)
\(18\) 8.86671e19 + 1.40484e20i 0.730134 + 1.15682i
\(19\) 1.90435e20 + 3.29844e20i 0.660222 + 1.14354i 0.980557 + 0.196234i \(0.0628711\pi\)
−0.320335 + 0.947304i \(0.603796\pi\)
\(20\) 8.09149e20i 1.23466i
\(21\) 7.71259e20 1.20486e21i 0.539127 0.842224i
\(22\) −7.03044e21 −2.33464
\(23\) −7.02456e21 + 4.05563e21i −1.14544 + 0.661322i −0.947773 0.318946i \(-0.896671\pi\)
−0.197671 + 0.980268i \(0.563338\pi\)
\(24\) 1.53750e21 + 1.47806e21i 0.126892 + 0.121987i
\(25\) 1.17330e22 2.03222e22i 0.503929 0.872830i
\(26\) 7.66346e21 4.42450e21i 0.175732 0.101459i
\(27\) 5.96376e22 + 5.29721e22i 0.747653 + 0.664090i
\(28\) −3.99840e22 + 1.17766e23i −0.280128 + 0.825071i
\(29\) 9.97964e22i 0.398792i 0.979919 + 0.199396i \(0.0638981\pi\)
−0.979919 + 0.199396i \(0.936102\pi\)
\(30\) 2.31803e23 + 8.01570e23i 0.538492 + 1.86209i
\(31\) 4.09457e23 7.09200e23i 0.562887 0.974948i −0.434356 0.900741i \(-0.643024\pi\)
0.997243 0.0742072i \(-0.0236426\pi\)
\(32\) −1.40849e24 8.13194e23i −1.16508 0.672658i
\(33\) −3.24285e24 + 9.37789e23i −1.63947 + 0.474113i
\(34\) 1.34620e23 0.0422132
\(35\) 5.40260e24 4.73739e24i 1.06540 0.934222i
\(36\) −6.13751e24 3.22797e24i −0.771174 0.405592i
\(37\) 1.02293e25 + 1.77176e25i 0.829121 + 1.43608i 0.898729 + 0.438505i \(0.144492\pi\)
−0.0696081 + 0.997574i \(0.522175\pi\)
\(38\) −2.95708e25 1.70727e25i −1.56432 0.903161i
\(39\) 2.94466e24 3.06307e24i 0.102802 0.106936i
\(40\) 5.35616e24 + 9.27714e24i 0.124708 + 0.216000i
\(41\) 2.78554e24i 0.0436886i −0.999761 0.0218443i \(-0.993046\pi\)
0.999761 0.0218443i \(-0.00695381\pi\)
\(42\) −5.87213e24 + 1.28117e26i −0.0626336 + 1.36653i
\(43\) 1.29107e25 0.0945052 0.0472526 0.998883i \(-0.484953\pi\)
0.0472526 + 0.998883i \(0.484953\pi\)
\(44\) 2.54156e26 1.46737e26i 1.28783 0.743527i
\(45\) 2.13842e26 + 3.38811e26i 0.756299 + 1.19828i
\(46\) 3.63591e26 6.29758e26i 0.904666 1.56693i
\(47\) −3.01411e26 + 1.74020e26i −0.531610 + 0.306925i −0.741672 0.670763i \(-0.765967\pi\)
0.210062 + 0.977688i \(0.432633\pi\)
\(48\) −8.57347e26 2.11709e26i −1.07968 0.266612i
\(49\) 1.02041e27 4.22525e26i 0.923925 0.382574i
\(50\) 2.10375e27i 1.37871i
\(51\) 6.20949e25 1.79570e25i 0.0296437 0.00857257i
\(52\) −1.84693e26 + 3.19898e26i −0.0646246 + 0.111933i
\(53\) −6.15871e27 3.55573e27i −1.58882 0.917308i −0.993501 0.113821i \(-0.963691\pi\)
−0.595323 0.803487i \(-0.702976\pi\)
\(54\) −7.00476e27 1.43947e27i −1.33996 0.275361i
\(55\) −1.69556e28 −2.41830
\(56\) 3.21123e26 + 1.61490e27i 0.0343291 + 0.172638i
\(57\) −1.59171e28 3.93050e27i −1.28194 0.316556i
\(58\) −4.47342e27 7.74819e27i −0.272767 0.472446i
\(59\) −1.02810e28 5.93574e27i −0.476874 0.275323i 0.242239 0.970217i \(-0.422118\pi\)
−0.719113 + 0.694893i \(0.755452\pi\)
\(60\) −2.51099e28 2.41392e28i −0.890073 0.855665i
\(61\) −1.19091e27 2.06271e27i −0.0324041 0.0561256i 0.849369 0.527800i \(-0.176983\pi\)
−0.881773 + 0.471675i \(0.843650\pi\)
\(62\) 7.34164e28i 1.54002i
\(63\) 1.43810e28 + 5.98786e28i 0.233528 + 0.972350i
\(64\) 5.76964e28 0.728231
\(65\) 1.84823e28 1.06708e28i 0.182030 0.105095i
\(66\) 2.09738e29 2.18172e29i 1.61799 1.68305i
\(67\) −1.00790e29 + 1.74573e29i −0.611250 + 1.05872i 0.379780 + 0.925077i \(0.376000\pi\)
−0.991030 + 0.133639i \(0.957334\pi\)
\(68\) −4.86663e27 + 2.80975e27i −0.0232855 + 0.0134439i
\(69\) 8.37064e28 3.38981e29i 0.317083 1.28407i
\(70\) −2.07103e29 + 6.09985e29i −0.623185 + 1.83548i
\(71\) 1.06783e29i 0.256075i 0.991769 + 0.128038i \(0.0408679\pi\)
−0.991769 + 0.128038i \(0.959132\pi\)
\(72\) −9.17360e28 + 3.61762e27i −0.175881 + 0.00693590i
\(73\) −1.32239e29 + 2.29045e29i −0.203327 + 0.352172i −0.949598 0.313469i \(-0.898509\pi\)
0.746272 + 0.665642i \(0.231842\pi\)
\(74\) −1.58840e30 9.17065e29i −1.96451 1.13421i
\(75\) 2.80619e29 + 9.70373e29i 0.279986 + 0.968186i
\(76\) 1.42534e30 1.15054
\(77\) −2.46777e30 8.37860e29i −1.61605 0.548681i
\(78\) −9.13197e28 + 3.69812e29i −0.0486464 + 0.197001i
\(79\) 3.41859e29 + 5.92117e29i 0.148530 + 0.257261i 0.930684 0.365823i \(-0.119213\pi\)
−0.782155 + 0.623085i \(0.785879\pi\)
\(80\) −3.84137e30 2.21782e30i −1.36473 0.787927i
\(81\) −3.42302e30 + 2.70395e29i −0.996895 + 0.0787478i
\(82\) 1.24863e29 + 2.16270e29i 0.0298822 + 0.0517576i
\(83\) 8.37104e30i 1.65017i 0.565006 + 0.825087i \(0.308874\pi\)
−0.565006 + 0.825087i \(0.691126\pi\)
\(84\) −2.46174e30 4.75410e30i −0.400658 0.773749i
\(85\) 3.24670e29 0.0437260
\(86\) −1.00239e30 + 5.78730e29i −0.111960 + 0.0646399i
\(87\) −3.09694e30 2.97721e30i −0.287491 0.276377i
\(88\) 1.94265e30 3.36477e30i 0.150201 0.260155i
\(89\) −1.33389e31 + 7.70119e30i −0.860753 + 0.496956i −0.864264 0.503038i \(-0.832216\pi\)
0.00351156 + 0.999994i \(0.498882\pi\)
\(90\) −3.17901e31 1.67197e31i −1.71558 0.902295i
\(91\) 3.21727e30 6.39755e29i 0.145487 0.0289302i
\(92\) 3.03550e31i 1.15246i
\(93\) 9.79300e30 + 3.38640e31i 0.312744 + 1.08146i
\(94\) 1.56010e31 2.70218e31i 0.419863 0.727223i
\(95\) −7.13173e31 4.11750e31i −1.62038 0.935527i
\(96\) 6.72549e31 1.94492e31i 1.29236 0.373734i
\(97\) −7.68925e31 −1.25180 −0.625902 0.779902i \(-0.715269\pi\)
−0.625902 + 0.779902i \(0.715269\pi\)
\(98\) −6.02846e31 + 7.85451e31i −0.832894 + 1.08518i
\(99\) 6.76417e31 1.28611e32i 0.794422 1.51048i
\(100\) −4.39087e31 7.60522e31i −0.439087 0.760522i
\(101\) 8.97688e31 + 5.18281e31i 0.765568 + 0.442001i 0.831291 0.555837i \(-0.187602\pi\)
−0.0657234 + 0.997838i \(0.520936\pi\)
\(102\) −4.01612e30 + 4.17762e30i −0.0292552 + 0.0304317i
\(103\) 6.27159e31 + 1.08627e32i 0.390825 + 0.676929i 0.992559 0.121768i \(-0.0388565\pi\)
−0.601734 + 0.798697i \(0.705523\pi\)
\(104\) 4.89031e30i 0.0261098i
\(105\) −1.41621e31 + 3.08986e32i −0.0648782 + 1.41550i
\(106\) 6.37550e32 2.50969
\(107\) −2.06516e32 + 1.19232e32i −0.699543 + 0.403881i −0.807177 0.590309i \(-0.799006\pi\)
0.107634 + 0.994191i \(0.465672\pi\)
\(108\) 2.83272e32 9.41630e31i 0.826843 0.274853i
\(109\) −1.36554e32 + 2.36518e32i −0.343938 + 0.595718i −0.985160 0.171637i \(-0.945094\pi\)
0.641222 + 0.767355i \(0.278428\pi\)
\(110\) 1.31644e33 7.60044e32i 2.86495 1.65408i
\(111\) −8.54993e32 2.11128e32i −1.60988 0.397537i
\(112\) −4.49492e32 5.12609e32i −0.733219 0.836176i
\(113\) 7.86763e32i 1.11324i 0.830767 + 0.556620i \(0.187902\pi\)
−0.830767 + 0.556620i \(0.812098\pi\)
\(114\) 1.41199e33 4.08329e32i 1.73522 0.501802i
\(115\) 8.76890e32 1.51882e33i 0.937086 1.62308i
\(116\) 3.23435e32 + 1.86735e32i 0.300926 + 0.173740i
\(117\) 7.20718e30 + 1.82760e32i 0.00584510 + 0.148221i
\(118\) 1.06429e33 0.753265
\(119\) 4.72535e31 + 1.60435e31i 0.0292202 + 0.00992084i
\(120\) −4.47683e32 1.10549e32i −0.242142 0.0597934i
\(121\) 2.01917e33 + 3.49730e33i 0.956328 + 1.65641i
\(122\) 1.84924e32 + 1.06766e32i 0.0767779 + 0.0443277i
\(123\) 8.64425e31 + 8.31008e31i 0.0314953 + 0.0302777i
\(124\) −1.53232e33 2.65406e33i −0.490459 0.849500i
\(125\) 3.95534e31i 0.0111333i
\(126\) −3.80062e33 4.00434e33i −0.941730 0.992206i
\(127\) 7.00400e33 1.52928 0.764640 0.644458i \(-0.222917\pi\)
0.764640 + 0.644458i \(0.222917\pi\)
\(128\) 1.56988e33 9.06372e32i 0.302348 0.174561i
\(129\) −3.85165e32 + 4.00653e32i −0.0654954 + 0.0681292i
\(130\) −9.56645e32 + 1.65696e33i −0.143766 + 0.249011i
\(131\) −8.13723e33 + 4.69803e33i −1.08177 + 0.624562i −0.931374 0.364064i \(-0.881389\pi\)
−0.150399 + 0.988625i \(0.548056\pi\)
\(132\) −3.02858e33 + 1.22647e34i −0.356497 + 1.44369i
\(133\) −8.34507e33 9.51687e33i −0.870570 0.992814i
\(134\) 1.80718e34i 1.67234i
\(135\) −1.68937e34 3.47164e33i −1.38798 0.285229i
\(136\) −3.71983e31 + 6.44293e31i −0.00271582 + 0.00470393i
\(137\) −3.18940e33 1.84140e33i −0.207100 0.119569i 0.392863 0.919597i \(-0.371485\pi\)
−0.599963 + 0.800028i \(0.704818\pi\)
\(138\) 8.69603e33 + 3.00707e34i 0.502638 + 1.73811i
\(139\) 3.76035e34 1.93638 0.968192 0.250208i \(-0.0804989\pi\)
0.968192 + 0.250208i \(0.0804989\pi\)
\(140\) −5.24448e33 2.63740e34i −0.240799 1.21095i
\(141\) 3.59168e33 1.45450e34i 0.147161 0.595949i
\(142\) −4.78659e33 8.29062e33i −0.175151 0.303371i
\(143\) −6.70344e33 3.87023e33i −0.219241 0.126579i
\(144\) 3.21470e34 2.02898e34i 0.940461 0.593577i
\(145\) −1.07888e34 1.86867e34i −0.282542 0.489377i
\(146\) 2.37108e34i 0.556288i
\(147\) −1.73297e34 + 4.42710e34i −0.364514 + 0.931198i
\(148\) 7.65627e34 1.44487
\(149\) −4.67507e34 + 2.69915e34i −0.792151 + 0.457349i −0.840719 0.541471i \(-0.817868\pi\)
0.0485680 + 0.998820i \(0.484534\pi\)
\(150\) −6.52847e34 6.27609e34i −0.993920 0.955497i
\(151\) 2.21853e34 3.84261e34i 0.303693 0.526012i −0.673276 0.739391i \(-0.735114\pi\)
0.976969 + 0.213379i \(0.0684469\pi\)
\(152\) 1.63420e34 9.43506e33i 0.201283 0.116211i
\(153\) −1.29522e33 + 2.46267e33i −0.0143642 + 0.0273114i
\(154\) 2.29155e35 4.55677e34i 2.28981 0.455329i
\(155\) 1.77062e35i 1.59521i
\(156\) −4.41732e33 1.52750e34i −0.0359059 0.124162i
\(157\) −9.80391e34 + 1.69809e35i −0.719457 + 1.24614i 0.241758 + 0.970337i \(0.422276\pi\)
−0.961215 + 0.275800i \(0.911057\pi\)
\(158\) −5.30839e34 3.06480e34i −0.351924 0.203184i
\(159\) 2.94076e35 8.50426e34i 1.76240 0.509663i
\(160\) 3.51650e35 1.90630
\(161\) 2.02677e35 1.77722e35i 0.994468 0.872021i
\(162\) 2.53643e35 1.74432e35i 1.12715 0.775150i
\(163\) 2.16841e34 + 3.75580e34i 0.0873252 + 0.151252i 0.906380 0.422464i \(-0.138835\pi\)
−0.819054 + 0.573716i \(0.805501\pi\)
\(164\) −9.02781e33 5.21221e33i −0.0329671 0.0190336i
\(165\) 5.05836e35 5.26176e35i 1.67597 1.74336i
\(166\) −3.75236e35 6.49927e35i −1.12869 1.95495i
\(167\) 1.20566e35i 0.329430i 0.986341 + 0.164715i \(0.0526704\pi\)
−0.986341 + 0.164715i \(0.947330\pi\)
\(168\) −5.96944e34 3.82118e34i −0.148247 0.0948961i
\(169\) −4.33037e35 −0.977997
\(170\) −2.52074e34 + 1.45535e34i −0.0518019 + 0.0299078i
\(171\) 5.96827e35 3.76691e35i 1.11663 0.704770i
\(172\) 2.41581e34 4.18431e34i 0.0411725 0.0713129i
\(173\) 4.06072e35 2.34446e35i 0.630761 0.364170i −0.150286 0.988643i \(-0.548019\pi\)
0.781047 + 0.624473i \(0.214686\pi\)
\(174\) 3.73901e35 + 9.23293e34i 0.529625 + 0.130783i
\(175\) −2.50717e35 + 7.38443e35i −0.324022 + 0.954351i
\(176\) 1.60878e36i 1.89799i
\(177\) 4.90913e35 1.41965e35i 0.528972 0.152971i
\(178\) 6.90419e35 1.19584e36i 0.679818 1.17748i
\(179\) −6.40405e35 3.69738e35i −0.576509 0.332848i 0.183236 0.983069i \(-0.441343\pi\)
−0.759745 + 0.650221i \(0.774676\pi\)
\(180\) 1.49820e36 5.90819e34i 1.23370 0.0486513i
\(181\) 1.68548e36 1.27018 0.635092 0.772437i \(-0.280962\pi\)
0.635092 + 0.772437i \(0.280962\pi\)
\(182\) −2.21111e35 + 1.93886e35i −0.152570 + 0.133784i
\(183\) 9.95394e34 + 2.45798e34i 0.0629184 + 0.0155368i
\(184\) 2.00935e35 + 3.48029e35i 0.116405 + 0.201619i
\(185\) −3.83083e36 2.21173e36i −2.03491 1.17485i
\(186\) −2.27830e36 2.19022e36i −1.11021 1.06729i
\(187\) −5.88781e34 1.01980e35i −0.0263322 0.0456088i
\(188\) 1.30248e36i 0.534865i
\(189\) −2.28721e36 1.34007e36i −0.862814 0.505521i
\(190\) 7.38276e36 2.55954
\(191\) −1.31306e36 + 7.58097e35i −0.418554 + 0.241652i −0.694458 0.719533i \(-0.744356\pi\)
0.275905 + 0.961185i \(0.411023\pi\)
\(192\) −1.72125e36 + 1.79047e36i −0.504690 + 0.524985i
\(193\) −1.91494e36 + 3.31677e36i −0.516700 + 0.894950i 0.483112 + 0.875558i \(0.339506\pi\)
−0.999812 + 0.0193918i \(0.993827\pi\)
\(194\) 5.96993e36 3.44674e36i 1.48300 0.856212i
\(195\) −2.20240e35 + 8.91893e35i −0.0503897 + 0.204061i
\(196\) 5.39969e35 4.09771e36i 0.113834 0.863861i
\(197\) 1.93425e36i 0.375884i 0.982180 + 0.187942i \(0.0601817\pi\)
−0.982180 + 0.187942i \(0.939818\pi\)
\(198\) 5.13344e35 + 1.30174e37i 0.0919953 + 2.33283i
\(199\) −1.38258e35 + 2.39471e35i −0.0228582 + 0.0395916i −0.877228 0.480074i \(-0.840610\pi\)
0.854370 + 0.519665i \(0.173943\pi\)
\(200\) −1.00685e36 5.81308e35i −0.153634 0.0887005i
\(201\) −2.41059e36 8.33577e36i −0.339615 1.17438i
\(202\) −9.29287e36 −1.20928
\(203\) −6.46829e35 3.25284e36i −0.0777773 0.391134i
\(204\) 5.79920e34 2.34847e35i 0.00644593 0.0261037i
\(205\) 3.01139e35 + 5.21587e35i 0.0309531 + 0.0536124i
\(206\) −9.73853e36 5.62254e36i −0.926015 0.534635i
\(207\) 8.02224e36 + 1.27104e37i 0.705944 + 1.11849i
\(208\) −1.01246e36 1.75364e36i −0.0824832 0.142865i
\(209\) 2.98679e37i 2.25354i
\(210\) −1.27509e37 2.46245e37i −0.891318 1.72131i
\(211\) −2.64738e37 −1.71513 −0.857564 0.514377i \(-0.828023\pi\)
−0.857564 + 0.514377i \(0.828023\pi\)
\(212\) −2.30479e37 + 1.33067e37i −1.38439 + 0.799277i
\(213\) −3.31374e36 3.18564e36i −0.184606 0.177469i
\(214\) 1.06893e37 1.85144e37i 0.552495 0.956950i
\(215\) −2.41751e36 + 1.39575e36i −0.115972 + 0.0669564i
\(216\) 2.62448e36 2.95472e36i 0.116892 0.131600i
\(217\) −8.74948e36 + 2.57701e37i −0.361931 + 1.06601i
\(218\) 2.44844e37i 0.940990i
\(219\) −3.16277e36 1.09368e37i −0.112970 0.390647i
\(220\) −3.17268e37 + 5.49524e37i −1.05357 + 1.82483i
\(221\) 1.28359e35 + 7.41081e34i 0.00396415 + 0.00228870i
\(222\) 7.58456e37 2.19335e37i 2.17913 0.630174i
\(223\) 2.74638e37 0.734315 0.367157 0.930159i \(-0.380331\pi\)
0.367157 + 0.930159i \(0.380331\pi\)
\(224\) 5.11802e37 + 1.73767e37i 1.27390 + 0.432514i
\(225\) −3.84848e37 2.02407e37i −0.892009 0.469144i
\(226\) −3.52670e37 6.10843e37i −0.761436 1.31885i
\(227\) 7.61691e37 + 4.39762e37i 1.53237 + 0.884717i 0.999252 + 0.0386789i \(0.0123149\pi\)
0.533123 + 0.846038i \(0.321018\pi\)
\(228\) −4.25221e37 + 4.42320e37i −0.797365 + 0.829429i
\(229\) 1.44014e37 + 2.49440e37i 0.251789 + 0.436112i 0.964019 0.265835i \(-0.0856477\pi\)
−0.712229 + 0.701947i \(0.752314\pi\)
\(230\) 1.57228e38i 2.56380i
\(231\) 9.96218e37 5.15855e37i 1.51552 0.784759i
\(232\) 4.94438e36 0.0701946
\(233\) −4.01951e37 + 2.32067e37i −0.532695 + 0.307552i −0.742113 0.670275i \(-0.766176\pi\)
0.209418 + 0.977826i \(0.432843\pi\)
\(234\) −8.75189e36 1.38665e37i −0.108305 0.171598i
\(235\) 3.76257e37 6.51696e37i 0.434909 0.753285i
\(236\) −3.84749e37 + 2.22135e37i −0.415514 + 0.239897i
\(237\) −2.85735e37 7.05581e36i −0.288397 0.0712153i
\(238\) −4.38792e36 + 8.72540e35i −0.0414026 + 0.00823293i
\(239\) 8.75099e37i 0.772130i 0.922472 + 0.386065i \(0.126166\pi\)
−0.922472 + 0.386065i \(0.873834\pi\)
\(240\) 1.83424e38 5.30437e37i 1.51383 0.437778i
\(241\) −1.17353e38 + 2.03261e38i −0.906193 + 1.56957i −0.0868855 + 0.996218i \(0.527691\pi\)
−0.819308 + 0.573354i \(0.805642\pi\)
\(242\) −3.13537e38 1.81020e38i −2.26591 1.30822i
\(243\) 9.37276e37 1.14292e38i 0.634113 0.773240i
\(244\) −8.91353e36 −0.0564693
\(245\) −1.45391e38 + 1.89431e38i −0.862742 + 1.12407i
\(246\) −1.04364e37 2.57712e36i −0.0580217 0.0143276i
\(247\) −1.87969e37 3.25572e37i −0.0979345 0.169628i
\(248\) −3.51371e37 2.02864e37i −0.171608 0.0990782i
\(249\) −2.59775e38 2.49732e38i −1.18962 1.14363i
\(250\) −1.77300e36 3.07093e36i −0.00761499 0.0131895i
\(251\) 8.33617e37i 0.335882i −0.985797 0.167941i \(-0.946288\pi\)
0.985797 0.167941i \(-0.0537119\pi\)
\(252\) 2.20973e38 + 6.54346e37i 0.835468 + 0.247399i
\(253\) −6.36086e38 −2.25729
\(254\) −5.43791e38 + 3.13958e38i −1.81173 + 1.04600i
\(255\) −9.68585e36 + 1.00753e37i −0.0303037 + 0.0315222i
\(256\) −2.05159e38 + 3.55346e38i −0.602909 + 1.04427i
\(257\) −1.63914e38 + 9.46358e37i −0.452570 + 0.261292i −0.708915 0.705294i \(-0.750815\pi\)
0.256345 + 0.966585i \(0.417482\pi\)
\(258\) 1.19447e37 4.83719e37i 0.0309928 0.125510i
\(259\) −4.48258e38 5.11201e38i −1.09328 1.24680i
\(260\) 7.98671e37i 0.183145i
\(261\) 1.84781e38 7.28687e36i 0.398483 0.0157142i
\(262\) 4.21183e38 7.29511e38i 0.854379 1.47983i
\(263\) −3.82854e38 2.21041e38i −0.730704 0.421872i 0.0879760 0.996123i \(-0.471960\pi\)
−0.818679 + 0.574251i \(0.805293\pi\)
\(264\) 4.64624e37 + 1.60666e38i 0.0834525 + 0.288577i
\(265\) 1.53761e39 2.59963
\(266\) 1.07451e39 + 3.64818e38i 1.71043 + 0.580725i
\(267\) 1.58949e38 6.43687e38i 0.238275 0.964928i
\(268\) 3.77188e38 + 6.53308e38i 0.532600 + 0.922490i
\(269\) 5.34971e38 + 3.08866e38i 0.711694 + 0.410897i 0.811688 0.584091i \(-0.198549\pi\)
−0.0999936 + 0.994988i \(0.531882\pi\)
\(270\) 1.46725e39 4.87731e38i 1.83943 0.611448i
\(271\) 7.90126e38 + 1.36854e39i 0.933657 + 1.61714i 0.777011 + 0.629488i \(0.216735\pi\)
0.156647 + 0.987655i \(0.449932\pi\)
\(272\) 3.08053e37i 0.0343181i
\(273\) −7.61271e37 + 1.18926e38i −0.0799719 + 0.124932i
\(274\) 3.30167e38 0.327133
\(275\) 1.59367e39 9.20103e38i 1.48962 0.860030i
\(276\) −9.41993e38 9.05577e38i −0.830811 0.798694i
\(277\) 6.42196e38 1.11232e39i 0.534554 0.925874i −0.464631 0.885504i \(-0.653813\pi\)
0.999185 0.0403698i \(-0.0128536\pi\)
\(278\) −2.91954e39 + 1.68560e39i −2.29402 + 1.32445i
\(279\) −1.34304e39 7.06359e38i −0.996371 0.524032i
\(280\) −2.34712e38 2.67670e38i −0.164440 0.187530i
\(281\) 2.11772e39i 1.40142i −0.713447 0.700709i \(-0.752867\pi\)
0.713447 0.700709i \(-0.247133\pi\)
\(282\) 3.73130e38 + 1.29028e39i 0.233279 + 0.806672i
\(283\) 9.78808e38 1.69535e39i 0.578249 1.00156i −0.417432 0.908708i \(-0.637070\pi\)
0.995680 0.0928478i \(-0.0295970\pi\)
\(284\) 3.46078e38 + 1.99808e38i 0.193233 + 0.111563i
\(285\) 3.40537e39 9.84786e38i 1.79741 0.519785i
\(286\) 6.93940e38 0.346310
\(287\) 1.80545e37 + 9.07941e37i 0.00852068 + 0.0428496i
\(288\) −1.40285e39 + 2.66732e39i −0.626227 + 1.19068i
\(289\) −1.18283e39 2.04872e39i −0.499524 0.865201i
\(290\) 1.67528e39 + 9.67222e38i 0.669451 + 0.386508i
\(291\) 2.29393e39 2.38617e39i 0.867544 0.902430i
\(292\) 4.94883e38 + 8.57162e38i 0.177164 + 0.306858i
\(293\) 5.34509e38i 0.181165i −0.995889 0.0905823i \(-0.971127\pi\)
0.995889 0.0905823i \(-0.0288728\pi\)
\(294\) −6.38990e38 4.21401e39i −0.205086 1.35250i
\(295\) 2.56680e39 0.780259
\(296\) 8.77815e38 5.06807e38i 0.252776 0.145940i
\(297\) 1.97318e39 + 5.93593e39i 0.538348 + 1.61952i
\(298\) 2.41982e39 4.19125e39i 0.625637 1.08364i
\(299\) 6.93360e38 4.00311e38i 0.169910 0.0980977i
\(300\) 3.67002e39 + 9.06256e38i 0.852566 + 0.210528i
\(301\) −4.20822e38 + 8.36807e37i −0.0926904 + 0.0184315i
\(302\) 3.97787e39i 0.830883i
\(303\) −4.28642e39 + 1.23957e39i −0.849205 + 0.245579i
\(304\) −3.90676e39 + 6.76671e39i −0.734243 + 1.27175i
\(305\) 4.45990e38 + 2.57492e38i 0.0795294 + 0.0459163i
\(306\) −9.82963e36 2.49261e38i −0.00166339 0.0421804i
\(307\) 3.04097e39 0.488426 0.244213 0.969722i \(-0.421470\pi\)
0.244213 + 0.969722i \(0.421470\pi\)
\(308\) −7.33307e39 + 6.43016e39i −1.11808 + 0.980416i
\(309\) −5.24197e39 1.29443e39i −0.758856 0.187388i
\(310\) −7.93687e39 1.37471e40i −1.09109 1.88983i
\(311\) −2.36098e39 1.36311e39i −0.308266 0.177978i 0.337884 0.941188i \(-0.390289\pi\)
−0.646150 + 0.763210i \(0.723622\pi\)
\(312\) −1.51759e38 1.45892e38i −0.0188226 0.0180950i
\(313\) 2.37385e39 + 4.11162e39i 0.279733 + 0.484511i 0.971318 0.237783i \(-0.0764208\pi\)
−0.691586 + 0.722295i \(0.743088\pi\)
\(314\) 1.75786e40i 1.96838i
\(315\) −9.16614e39 9.65745e39i −0.975478 1.02776i
\(316\) 2.55870e39 0.258836
\(317\) −1.99408e39 + 1.15128e39i −0.191776 + 0.110722i −0.592814 0.805340i \(-0.701983\pi\)
0.401038 + 0.916062i \(0.368650\pi\)
\(318\) −1.90200e40 + 1.97848e40i −1.73930 + 1.80925i
\(319\) −3.91302e39 + 6.77755e39i −0.340300 + 0.589416i
\(320\) −1.08035e40 + 6.23742e39i −0.893648 + 0.515948i
\(321\) 2.46090e39 9.96578e39i 0.193648 0.784207i
\(322\) −7.76940e39 + 2.28834e40i −0.581692 + 1.71328i
\(323\) 5.71918e38i 0.0407468i
\(324\) −5.52870e39 + 1.15998e40i −0.374889 + 0.786557i
\(325\) −1.15811e39 + 2.00590e39i −0.0747506 + 0.129472i
\(326\) −3.36711e39 1.94400e39i −0.206907 0.119458i
\(327\) −3.26596e39 1.12936e40i −0.191094 0.660799i
\(328\) −1.38009e38 −0.00768998
\(329\) 8.69650e39 7.62571e39i 0.461541 0.404712i
\(330\) −1.56870e40 + 6.35267e40i −0.793078 + 3.21169i
\(331\) −7.19755e38 1.24665e39i −0.0346686 0.0600478i 0.848170 0.529723i \(-0.177704\pi\)
−0.882839 + 0.469676i \(0.844371\pi\)
\(332\) 2.71301e40 + 1.56636e40i 1.24521 + 0.718922i
\(333\) 3.20587e40 2.02340e40i 1.40229 0.885065i
\(334\) −5.40445e39 9.36078e39i −0.225324 0.390273i
\(335\) 4.35845e40i 1.73227i
\(336\) 2.93172e40 + 1.34373e39i 1.11095 + 0.0509193i
\(337\) −4.62604e40 −1.67160 −0.835798 0.549037i \(-0.814995\pi\)
−0.835798 + 0.549037i \(0.814995\pi\)
\(338\) 3.36210e40 1.94111e40i 1.15863 0.668933i
\(339\) −2.44152e40 2.34714e40i −0.802539 0.771514i
\(340\) 6.07511e38 1.05224e39i 0.0190499 0.0329953i
\(341\) 5.56156e40 3.21097e40i 1.66390 0.960651i
\(342\) −2.94523e40 + 5.59993e40i −0.840818 + 1.59869i
\(343\) −3.05214e40 + 2.03859e40i −0.831569 + 0.555422i
\(344\) 6.39658e38i 0.0166346i
\(345\) 2.09726e40 + 7.25228e40i 0.520651 + 1.80040i
\(346\) −2.10183e40 + 3.64047e40i −0.498172 + 0.862859i
\(347\) 5.53841e40 + 3.19760e40i 1.25347 + 0.723690i 0.971797 0.235821i \(-0.0757778\pi\)
0.281672 + 0.959511i \(0.409111\pi\)
\(348\) −1.54439e40 + 4.46616e39i −0.333802 + 0.0965309i
\(349\) 2.72111e40 0.561745 0.280872 0.959745i \(-0.409376\pi\)
0.280872 + 0.959745i \(0.409376\pi\)
\(350\) −1.36354e40 6.85712e40i −0.268893 1.35224i
\(351\) −5.88653e39 5.22861e39i −0.110904 0.0985083i
\(352\) −6.37708e40 1.10454e41i −1.14799 1.98838i
\(353\) 3.85005e40 + 2.22283e40i 0.662325 + 0.382394i 0.793162 0.609010i \(-0.208433\pi\)
−0.130837 + 0.991404i \(0.541767\pi\)
\(354\) −3.17508e40 + 3.30276e40i −0.522039 + 0.543031i
\(355\) −1.15440e40 1.99949e40i −0.181428 0.314243i
\(356\) 5.76408e40i 0.866024i
\(357\) −1.90758e39 + 9.87771e38i −0.0274026 + 0.0141894i
\(358\) 6.62947e40 0.910648
\(359\) 2.24678e40 1.29718e40i 0.295155 0.170408i −0.345109 0.938562i \(-0.612158\pi\)
0.640264 + 0.768155i \(0.278825\pi\)
\(360\) 1.67863e40 1.05948e40i 0.210918 0.133122i
\(361\) −3.09320e40 + 5.35758e40i −0.371786 + 0.643952i
\(362\) −1.30861e41 + 7.55525e40i −1.50478 + 0.868783i
\(363\) −1.68768e41 4.16747e40i −1.85688 0.458529i
\(364\) 3.94662e39 1.16241e40i 0.0415531 0.122387i
\(365\) 5.71843e40i 0.576224i
\(366\) −8.83004e39 + 2.55353e39i −0.0851658 + 0.0246288i
\(367\) 5.80227e40 1.00498e41i 0.535724 0.927900i −0.463404 0.886147i \(-0.653372\pi\)
0.999128 0.0417535i \(-0.0132944\pi\)
\(368\) −1.44108e41 8.32009e40i −1.27387 0.735466i
\(369\) −5.15766e39 + 2.03393e38i −0.0436547 + 0.00172153i
\(370\) 3.96567e41 3.21432
\(371\) 2.23788e41 + 7.59807e40i 1.73722 + 0.589821i
\(372\) 1.28076e41 + 3.16264e40i 0.952314 + 0.235160i
\(373\) −8.09653e40 1.40236e41i −0.576710 0.998891i −0.995854 0.0909712i \(-0.971003\pi\)
0.419143 0.907920i \(-0.362330\pi\)
\(374\) 9.14259e39 + 5.27848e39i 0.0623912 + 0.0360216i
\(375\) −1.22744e39 1.17999e39i −0.00802604 0.00771577i
\(376\) 8.62174e39 + 1.49333e40i 0.0540243 + 0.0935729i
\(377\) 9.85041e39i 0.0591551i
\(378\) 2.37648e41 + 1.51794e39i 1.36794 + 0.00873749i
\(379\) −2.21530e41 −1.22238 −0.611189 0.791484i \(-0.709309\pi\)
−0.611189 + 0.791484i \(0.709309\pi\)
\(380\) −2.66893e41 + 1.54091e41i −1.41188 + 0.815151i
\(381\) −2.08950e41 + 2.17352e41i −1.05984 + 1.10246i
\(382\) 6.79641e40 1.17717e41i 0.330572 0.572567i
\(383\) −9.56761e40 + 5.52386e40i −0.446296 + 0.257669i −0.706265 0.707948i \(-0.749621\pi\)
0.259968 + 0.965617i \(0.416288\pi\)
\(384\) −1.87071e40 + 7.57571e40i −0.0836964 + 0.338941i
\(385\) 5.52665e41 1.09898e41i 2.37187 0.471647i
\(386\) 3.43352e41i 1.41365i
\(387\) −9.42708e38 2.39053e40i −0.00372393 0.0944318i
\(388\) −1.43878e41 + 2.49205e41i −0.545366 + 0.944602i
\(389\) −2.31065e41 1.33405e41i −0.840504 0.485265i 0.0169315 0.999857i \(-0.494610\pi\)
−0.857436 + 0.514591i \(0.827944\pi\)
\(390\) −2.28801e40 7.91190e40i −0.0798776 0.276215i
\(391\) 1.21799e40 0.0408147
\(392\) −2.09338e40 5.05558e40i −0.0673398 0.162627i
\(393\) 9.69653e40 3.92675e41i 0.299458 1.21270i
\(394\) −8.67038e40 1.50175e41i −0.257098 0.445307i
\(395\) −1.28025e41 7.39151e40i −0.364536 0.210465i
\(396\) −2.90253e41 4.59876e41i −0.793695 1.25753i
\(397\) 3.22134e40 + 5.57953e40i 0.0846036 + 0.146538i 0.905222 0.424938i \(-0.139704\pi\)
−0.820619 + 0.571476i \(0.806371\pi\)
\(398\) 2.47900e40i 0.0625385i
\(399\) 5.44290e41 + 2.49470e40i 1.31906 + 0.0604578i
\(400\) 4.81403e41 1.12085
\(401\) −5.32975e41 + 3.07713e41i −1.19233 + 0.688393i −0.958835 0.283965i \(-0.908350\pi\)
−0.233497 + 0.972358i \(0.575017\pi\)
\(402\) 5.60813e41 + 5.39133e41i 1.20559 + 1.15899i
\(403\) −4.04155e40 + 7.00016e40i −0.0834962 + 0.144620i
\(404\) 3.35944e41 1.93958e41i 0.667061 0.385128i
\(405\) 6.11722e41 4.20686e41i 1.16755 0.802929i
\(406\) 1.96030e41 + 2.23556e41i 0.359671 + 0.410176i
\(407\) 1.60436e42i 2.83004i
\(408\) −8.89673e38 3.07647e39i −0.00150893 0.00521783i
\(409\) 1.07984e41 1.87034e41i 0.176111 0.305033i −0.764434 0.644702i \(-0.776982\pi\)
0.940545 + 0.339669i \(0.110315\pi\)
\(410\) −4.67608e40 2.69974e40i −0.0733399 0.0423428i
\(411\) 1.52292e41 4.40409e40i 0.229725 0.0664335i
\(412\) 4.69407e41 0.681074
\(413\) 3.73579e41 + 1.26838e41i 0.521413 + 0.177030i
\(414\) −1.19260e42 6.27235e41i −1.60136 0.842219i
\(415\) −9.04973e41 1.56746e42i −1.16914 2.02501i
\(416\) 1.39025e41 + 8.02664e40i 0.172823 + 0.0997793i
\(417\) −1.12182e42 + 1.16693e42i −1.34198 + 1.39595i
\(418\) −1.33884e42 2.31895e42i −1.54138 2.66975i
\(419\) 4.37775e41i 0.485095i 0.970140 + 0.242547i \(0.0779830\pi\)
−0.970140 + 0.242547i \(0.922017\pi\)
\(420\) 9.74910e41 + 6.24063e41i 1.03986 + 0.665641i
\(421\) 3.55550e41 0.365079 0.182540 0.983198i \(-0.441568\pi\)
0.182540 + 0.983198i \(0.441568\pi\)
\(422\) 2.05542e42 1.18670e42i 2.03190 1.17312i
\(423\) 3.44219e41 + 5.45380e41i 0.327634 + 0.519102i
\(424\) −1.76168e41 + 3.05131e41i −0.161463 + 0.279662i
\(425\) −3.05159e40 + 1.76183e40i −0.0269341 + 0.0155504i
\(426\) 4.00077e41 + 9.87931e40i 0.340087 + 0.0839794i
\(427\) 5.21867e40 + 5.95147e40i 0.0427282 + 0.0487280i
\(428\) 8.92413e41i 0.703826i
\(429\) 3.20086e41 9.25645e40i 0.243192 0.0703279i
\(430\) 1.25130e41 2.16732e41i 0.0915940 0.158646i
\(431\) 9.64656e41 + 5.56944e41i 0.680356 + 0.392804i 0.799989 0.600015i \(-0.204839\pi\)
−0.119633 + 0.992818i \(0.538172\pi\)
\(432\) −3.29395e41 + 1.60291e42i −0.223860 + 1.08935i
\(433\) −1.95661e42 −1.28144 −0.640718 0.767776i \(-0.721363\pi\)
−0.640718 + 0.767776i \(0.721363\pi\)
\(434\) −4.75847e41 2.39299e42i −0.300353 1.51045i
\(435\) 9.01754e41 + 2.22675e41i 0.548606 + 0.135470i
\(436\) 5.11029e41 + 8.85128e41i 0.299683 + 0.519066i
\(437\) −2.67545e42 1.54467e42i −1.51249 0.873239i
\(438\) 7.35805e41 + 7.07360e41i 0.401030 + 0.385527i
\(439\) 1.72309e42 + 2.98447e42i 0.905471 + 1.56832i 0.820284 + 0.571956i \(0.193815\pi\)
0.0851865 + 0.996365i \(0.472851\pi\)
\(440\) 8.40061e41i 0.425665i
\(441\) −8.56846e41 1.85852e42i −0.418683 0.908132i
\(442\) −1.32877e40 −0.00626173
\(443\) −3.17629e42 + 1.83383e42i −1.44364 + 0.833488i −0.998091 0.0617668i \(-0.980326\pi\)
−0.445554 + 0.895255i \(0.646993\pi\)
\(444\) −2.28409e42 + 2.37594e42i −1.00135 + 1.04161i
\(445\) 1.66512e42 2.88406e42i 0.704181 1.21968i
\(446\) −2.13229e42 + 1.23108e42i −0.869937 + 0.502259i
\(447\) 5.57093e41 2.25603e42i 0.219284 0.888024i
\(448\) −1.88060e42 + 3.73958e41i −0.714247 + 0.142028i
\(449\) 3.61811e42i 1.32599i 0.748624 + 0.662994i \(0.230715\pi\)
−0.748624 + 0.662994i \(0.769285\pi\)
\(450\) 3.89526e42 1.53610e41i 1.37764 0.0543275i
\(451\) 1.09221e41 1.89177e41i 0.0372806 0.0645719i
\(452\) 2.54986e42 + 1.47216e42i 0.840042 + 0.484999i
\(453\) 5.30608e41 + 1.83483e42i 0.168734 + 0.583478i
\(454\) −7.88502e42 −2.42052
\(455\) −5.33264e41 + 4.67604e41i −0.158037 + 0.138579i
\(456\) −1.94735e41 + 7.88609e41i −0.0557195 + 0.225644i
\(457\) 2.64560e42 + 4.58231e42i 0.730911 + 1.26598i 0.956494 + 0.291751i \(0.0942380\pi\)
−0.225583 + 0.974224i \(0.572429\pi\)
\(458\) −2.23625e42 1.29110e42i −0.596586 0.344439i
\(459\) −3.77828e40 1.13663e41i −0.00973401 0.0292829i
\(460\) −3.28161e42 5.68391e42i −0.816510 1.41424i
\(461\) 2.42628e42i 0.583077i −0.956559 0.291538i \(-0.905833\pi\)
0.956559 0.291538i \(-0.0941671\pi\)
\(462\) −5.42229e42 + 8.47069e42i −1.25867 + 1.96629i
\(463\) −4.32165e42 −0.969066 −0.484533 0.874773i \(-0.661010\pi\)
−0.484533 + 0.874773i \(0.661010\pi\)
\(464\) −1.77302e42 + 1.02366e42i −0.384085 + 0.221751i
\(465\) −5.49467e42 5.28226e42i −1.14999 1.10554i
\(466\) 2.08050e42 3.60353e42i 0.420720 0.728708i
\(467\) 5.51769e41 3.18564e41i 0.107817 0.0622482i −0.445122 0.895470i \(-0.646840\pi\)
0.552939 + 0.833222i \(0.313506\pi\)
\(468\) 6.05803e41 + 3.18617e41i 0.114393 + 0.0601637i
\(469\) 2.15372e42 6.34342e42i 0.393029 1.15760i
\(470\) 6.74636e42i 1.18988i
\(471\) −2.34481e42 8.10829e42i −0.399735 1.38228i
\(472\) −2.94084e41 + 5.09369e41i −0.0484618 + 0.0839383i
\(473\) 8.76817e41 + 5.06231e41i 0.139679 + 0.0806437i
\(474\) 2.53473e42 7.33009e41i 0.390372 0.112890i
\(475\) 8.93751e42 1.33082
\(476\) 1.40415e41 1.23126e41i 0.0202164 0.0177272i
\(477\) −6.13403e42 + 1.16630e43i −0.853989 + 1.62374i
\(478\) −3.92267e42 6.79427e42i −0.528124 0.914737i
\(479\) 1.79256e42 + 1.03493e42i 0.233402 + 0.134755i 0.612140 0.790749i \(-0.290309\pi\)
−0.378739 + 0.925504i \(0.623642\pi\)
\(480\) −1.04907e43 + 1.09126e43i −1.32113 + 1.37426i
\(481\) −1.00968e42 1.74882e42i −0.122988 0.213022i
\(482\) 2.10416e43i 2.47928i
\(483\) −5.31287e41 + 1.15915e43i −0.0605585 + 1.32126i
\(484\) 1.51128e43 1.66655
\(485\) 1.43980e43 8.31267e42i 1.53615 0.886896i
\(486\) −2.15383e42 + 1.30750e43i −0.222347 + 1.34977i
\(487\) 6.89471e42 1.19420e43i 0.688736 1.19293i −0.283511 0.958969i \(-0.591499\pi\)
0.972247 0.233957i \(-0.0751675\pi\)
\(488\) −1.02196e41 + 5.90031e40i −0.00987912 + 0.00570371i
\(489\) −1.81242e42 4.47550e41i −0.169557 0.0418697i
\(490\) 2.79685e42 2.12246e43i 0.253239 1.92178i
\(491\) 4.24395e42i 0.371935i 0.982556 + 0.185967i \(0.0595419\pi\)
−0.982556 + 0.185967i \(0.940458\pi\)
\(492\) 4.31074e41 1.24661e41i 0.0365687 0.0105752i
\(493\) 7.49274e40 1.29778e41i 0.00615305 0.0106574i
\(494\) 2.91879e42 + 1.68516e42i 0.232045 + 0.133971i
\(495\) 1.23806e42 + 3.13947e43i 0.0952921 + 2.41643i
\(496\) 1.67999e43 1.25199
\(497\) −6.92111e41 3.48056e42i −0.0499429 0.251158i
\(498\) 3.13633e43 + 7.74469e42i 2.19155 + 0.541171i
\(499\) 2.86877e42 + 4.96886e42i 0.194128 + 0.336239i 0.946614 0.322369i \(-0.104479\pi\)
−0.752487 + 0.658608i \(0.771146\pi\)
\(500\) 1.28191e41 + 7.40110e40i 0.00840111 + 0.00485038i
\(501\) −3.74148e42 3.59684e42i −0.237487 0.228306i
\(502\) 3.73673e42 + 6.47221e42i 0.229738 + 0.397917i
\(503\) 1.76219e42i 0.104946i 0.998622 + 0.0524729i \(0.0167103\pi\)
−0.998622 + 0.0524729i \(0.983290\pi\)
\(504\) 2.96666e42 7.12501e41i 0.171151 0.0411052i
\(505\) −2.24120e43 −1.25262
\(506\) 4.93857e43 2.85129e43i 2.67420 1.54395i
\(507\) 1.29187e43 1.34382e43i 0.677786 0.705041i
\(508\) 1.31056e43 2.26996e43i 0.666252 1.15398i
\(509\) 1.25243e43 7.23089e42i 0.616975 0.356211i −0.158715 0.987324i \(-0.550735\pi\)
0.775690 + 0.631114i \(0.217402\pi\)
\(510\) 3.00378e41 1.21642e42i 0.0143399 0.0580713i
\(511\) 2.82575e42 8.32278e42i 0.130737 0.385065i
\(512\) 2.89998e43i 1.30039i
\(513\) −6.11541e42 + 2.97588e43i −0.265796 + 1.29342i
\(514\) 8.48419e42 1.46950e43i 0.357438 0.619100i
\(515\) −2.34869e43 1.35601e43i −0.959200 0.553794i
\(516\) 5.77791e41 + 1.99799e42i 0.0228757 + 0.0791038i
\(517\) −2.72933e43 −1.04763
\(518\) 5.77176e43 + 1.95963e43i 2.14799 + 0.729286i
\(519\) −4.83885e42 + 1.95956e43i −0.174608 + 0.707101i
\(520\) −5.28680e41 9.15700e41i −0.0184986 0.0320405i
\(521\) −4.67780e43 2.70073e43i −1.58722 0.916385i −0.993762 0.111523i \(-0.964427\pi\)
−0.593463 0.804861i \(-0.702240\pi\)
\(522\) −1.40198e43 + 8.84865e42i −0.461331 + 0.291172i
\(523\) 6.26713e42 + 1.08550e43i 0.200005 + 0.346420i 0.948530 0.316688i \(-0.102571\pi\)
−0.748524 + 0.663107i \(0.769237\pi\)
\(524\) 3.51632e43i 1.08840i
\(525\) −1.54362e43 2.98103e43i −0.463437 0.894987i
\(526\) 3.96331e43 1.15421
\(527\) −1.06494e42 + 6.14843e41i −0.0300853 + 0.0173698i
\(528\) −4.99246e43 4.79946e43i −1.36827 1.31537i
\(529\) 1.40918e43 2.44078e43i 0.374694 0.648989i
\(530\) −1.19380e44 + 6.89240e43i −3.07976 + 1.77810i
\(531\) −1.02398e43 + 1.94695e43i −0.256318 + 0.487352i
\(532\) −4.64587e43 + 9.23834e42i −1.12845 + 0.224392i
\(533\) 2.74947e41i 0.00648058i
\(534\) 1.65128e43 + 5.71009e43i 0.377712 + 1.30612i
\(535\) 2.57799e43 4.46520e43i 0.572295 0.991244i
\(536\) 8.64915e42 + 4.99359e42i 0.186353 + 0.107591i
\(537\) 3.05790e43 8.84304e42i 0.639492 0.184932i
\(538\) −5.53802e43 −1.12419
\(539\) 8.58671e43 + 1.13150e43i 1.69202 + 0.222964i
\(540\) −4.28623e43 + 4.82557e43i −0.819927 + 0.923099i
\(541\) −3.06916e43 5.31594e43i −0.569984 0.987242i −0.996567 0.0827933i \(-0.973616\pi\)
0.426582 0.904449i \(-0.359717\pi\)
\(542\) −1.22691e44 7.08355e43i −2.21219 1.27721i
\(543\) −5.02827e43 + 5.23047e43i −0.880282 + 0.915680i
\(544\) 1.22110e42 + 2.11500e42i 0.0207572 + 0.0359525i
\(545\) 5.90500e43i 0.974712i
\(546\) 5.79609e41 1.26458e43i 0.00929080 0.202705i
\(547\) 5.05134e43 0.786338 0.393169 0.919466i \(-0.371379\pi\)
0.393169 + 0.919466i \(0.371379\pi\)
\(548\) −1.19358e43 + 6.89113e42i −0.180452 + 0.104184i
\(549\) −3.73232e42 + 2.35567e42i −0.0548052 + 0.0345906i
\(550\) −8.24881e43 + 1.42874e44i −1.17649 + 2.03774i
\(551\) −3.29172e43 + 1.90048e43i −0.456034 + 0.263291i
\(552\) −1.67947e43 4.14720e42i −0.226020 0.0558123i
\(553\) −1.49806e43 1.70842e43i −0.195852 0.223353i
\(554\) 1.15147e44i 1.46250i
\(555\) 1.82920e44 5.28980e43i 2.25722 0.652757i
\(556\) 7.03623e43 1.21871e44i 0.843614 1.46118i
\(557\) −9.35448e43 5.40081e43i −1.08977 0.629182i −0.156258 0.987716i \(-0.549943\pi\)
−0.933516 + 0.358535i \(0.883276\pi\)
\(558\) 1.35936e44 5.36067e42i 1.53882 0.0606837i
\(559\) −1.27436e42 −0.0140185
\(560\) 1.39583e44 + 4.73914e43i 1.49219 + 0.506631i
\(561\) 4.92120e42 + 1.21522e42i 0.0511287 + 0.0126255i
\(562\) 9.49279e43 + 1.64420e44i 0.958546 + 1.66025i
\(563\) 4.00091e43 + 2.30993e43i 0.392667 + 0.226706i 0.683315 0.730124i \(-0.260538\pi\)
−0.290648 + 0.956830i \(0.593871\pi\)
\(564\) −4.04191e43 3.88566e43i −0.385586 0.370680i
\(565\) −8.50551e43 1.47320e44i −0.788724 1.36611i
\(566\) 1.75502e44i 1.58205i
\(567\) 1.09820e44 3.09997e43i 0.962393 0.271662i
\(568\) 5.29052e42 0.0450739
\(569\) 1.69616e44 9.79278e43i 1.40498 0.811166i 0.410082 0.912048i \(-0.365500\pi\)
0.994898 + 0.100882i \(0.0321666\pi\)
\(570\) −2.20249e44 + 2.29106e44i −1.77385 + 1.84518i
\(571\) 1.83017e43 3.16996e43i 0.143323 0.248242i −0.785423 0.618959i \(-0.787555\pi\)
0.928746 + 0.370717i \(0.120888\pi\)
\(572\) −2.50865e43 + 1.44837e43i −0.191031 + 0.110292i
\(573\) 1.56468e43 6.33639e43i 0.115865 0.469211i
\(574\) −5.47164e42 6.23996e42i −0.0394028 0.0449357i
\(575\) 1.90339e44i 1.33304i
\(576\) −4.21284e42 1.06830e44i −0.0286956 0.727666i
\(577\) −1.04971e44 + 1.81816e44i −0.695438 + 1.20453i 0.274595 + 0.961560i \(0.411456\pi\)
−0.970033 + 0.242974i \(0.921877\pi\)
\(578\) 1.83670e44 + 1.06042e44i 1.18356 + 0.683331i
\(579\) −4.57997e43 1.58374e44i −0.287082 0.992723i
\(580\) −8.07501e43 −0.492374
\(581\) −5.42567e43 2.72852e44i −0.321837 1.61849i
\(582\) −7.11392e43 + 2.88089e44i −0.410526 + 1.66249i
\(583\) −2.78841e44 4.82967e44i −1.56552 2.71157i
\(584\) 1.13480e43 + 6.55175e42i 0.0619887 + 0.0357892i
\(585\) −2.11073e43 3.34424e43i −0.112186 0.177747i
\(586\) 2.39596e43 + 4.14993e43i 0.123913 + 0.214624i
\(587\) 1.08867e44i 0.547879i 0.961747 + 0.273940i \(0.0883268\pi\)
−0.961747 + 0.273940i \(0.911673\pi\)
\(588\) 1.11053e44 + 1.39003e44i 0.543870 + 0.680749i
\(589\) 3.11900e44 1.48652
\(590\) −1.99286e44 + 1.15058e44i −0.924368 + 0.533684i
\(591\) −6.00248e43 5.77043e43i −0.270976 0.260501i
\(592\) −2.09853e44 + 3.63476e44i −0.922078 + 1.59709i
\(593\) −3.72888e43 + 2.15287e43i −0.159479 + 0.0920752i −0.577615 0.816309i \(-0.696017\pi\)
0.418137 + 0.908384i \(0.362683\pi\)
\(594\) −4.19278e44 3.72417e44i −1.74550 1.55041i
\(595\) −1.05825e43 + 2.10435e42i −0.0428863 + 0.00852797i
\(596\) 2.02022e44i 0.797002i
\(597\) −3.30673e42 1.14346e43i −0.0127002 0.0439170i
\(598\) −3.58883e43 + 6.21603e43i −0.134194 + 0.232431i
\(599\) −9.52891e42 5.50152e42i −0.0346908 0.0200287i 0.482554 0.875866i \(-0.339709\pi\)
−0.517245 + 0.855837i \(0.673042\pi\)
\(600\) 4.80768e43 1.39032e43i 0.170418 0.0492826i
\(601\) 4.73547e44 1.63445 0.817225 0.576318i \(-0.195511\pi\)
0.817225 + 0.576318i \(0.195511\pi\)
\(602\) 2.89216e43 2.53605e43i 0.0972028 0.0852343i
\(603\) 3.30595e44 + 1.73873e44i 1.08198 + 0.569057i
\(604\) −8.30248e43 1.43803e44i −0.264616 0.458329i
\(605\) −7.56171e44 4.36575e44i −2.34711 1.35511i
\(606\) 2.77233e44 2.88381e44i 0.838076 0.871777i
\(607\) 2.07494e42 + 3.59390e42i 0.00610924 + 0.0105815i 0.869064 0.494700i \(-0.164722\pi\)
−0.862955 + 0.505281i \(0.831389\pi\)
\(608\) 6.19444e44i 1.77642i
\(609\) 1.20241e44 + 7.69688e43i 0.335873 + 0.215000i
\(610\) −4.61689e43 −0.125624
\(611\) 2.97508e43 1.71766e43i 0.0788567 0.0455279i
\(612\) 5.55783e42 + 8.80580e42i 0.0143510 + 0.0227377i
\(613\) 2.12443e43 3.67962e43i 0.0534411 0.0925626i −0.838067 0.545567i \(-0.816314\pi\)
0.891508 + 0.453004i \(0.149648\pi\)
\(614\) −2.36101e44 + 1.36313e44i −0.578634 + 0.334075i
\(615\) −2.51700e43 6.21536e42i −0.0601010 0.0148410i
\(616\) −4.15115e43 + 1.22265e44i −0.0965777 + 0.284453i
\(617\) 7.69784e44i 1.74504i 0.488575 + 0.872522i \(0.337517\pi\)
−0.488575 + 0.872522i \(0.662483\pi\)
\(618\) 4.65010e44 1.34475e44i 1.02718 0.297047i
\(619\) −1.38458e44 + 2.39816e44i −0.298035 + 0.516212i −0.975686 0.219172i \(-0.929665\pi\)
0.677651 + 0.735383i \(0.262998\pi\)
\(620\) 5.73848e44 + 3.31311e44i 1.20373 + 0.694975i
\(621\) −6.33763e44 1.30238e44i −1.29557 0.266238i
\(622\) 2.44409e44 0.486934
\(623\) 3.84862e44 3.37474e44i 0.747301 0.655287i
\(624\) 8.46245e43 + 2.08968e43i 0.160156 + 0.0395481i
\(625\) 2.68904e44 + 4.65756e44i 0.496041 + 0.859168i
\(626\) −3.68611e44 2.12818e44i −0.662794 0.382665i
\(627\) −9.26878e44 8.91047e44i −1.62458 1.56178i
\(628\) 3.66894e44 + 6.35480e44i 0.626884 + 1.08579i
\(629\) 3.07207e43i 0.0511707i
\(630\) 1.14456e45 + 3.38928e44i 1.85861 + 0.550374i
\(631\) 1.99639e44 0.316064 0.158032 0.987434i \(-0.449485\pi\)
0.158032 + 0.987434i \(0.449485\pi\)
\(632\) 2.93362e43 1.69373e43i 0.0452826 0.0261439i
\(633\) 7.89789e44 8.21549e44i 1.18864 1.23644i
\(634\) 1.03214e44 1.78771e44i 0.151464 0.262343i
\(635\) −1.31149e45 + 7.57186e44i −1.87665 + 1.08349i
\(636\) 2.74645e44 1.11221e45i 0.383228 1.55194i
\(637\) −1.00719e44 + 4.17053e43i −0.137051 + 0.0567493i
\(638\) 7.01612e44i 0.931036i
\(639\) 1.97717e44 7.79700e42i 0.255877 0.0100905i
\(640\) −1.95972e44 + 3.39433e44i −0.247351 + 0.428424i
\(641\) 9.09255e44 + 5.24959e44i 1.11933 + 0.646244i 0.941229 0.337769i \(-0.109672\pi\)
0.178098 + 0.984013i \(0.443005\pi\)
\(642\) 2.55656e44 + 8.84054e44i 0.306970 + 1.06150i
\(643\) −4.93160e44 −0.577580 −0.288790 0.957393i \(-0.593253\pi\)
−0.288790 + 0.957393i \(0.593253\pi\)
\(644\) −1.96745e44 9.89414e44i −0.224766 1.13033i
\(645\) 2.88076e43 1.16661e44i 0.0321035 0.130008i
\(646\) 2.56365e43 + 4.44037e43i 0.0278701 + 0.0482724i
\(647\) −3.01623e44 1.74142e44i −0.319887 0.184687i 0.331455 0.943471i \(-0.392460\pi\)
−0.651342 + 0.758784i \(0.725794\pi\)
\(648\) 1.33966e43 + 1.69592e44i 0.0138610 + 0.175471i
\(649\) −4.65481e44 8.06238e44i −0.469880 0.813857i
\(650\) 2.07651e44i 0.204512i
\(651\) −5.38689e44 1.04031e45i −0.517657 0.999698i
\(652\) 1.62298e44 0.152178
\(653\) 8.45552e44 4.88180e44i 0.773623 0.446651i −0.0605426 0.998166i \(-0.519283\pi\)
0.834165 + 0.551514i \(0.185950\pi\)
\(654\) 7.59812e44 + 7.30439e44i 0.678363 + 0.652139i
\(655\) 1.01579e45 1.75939e45i 0.884997 1.53286i
\(656\) 4.94891e43 2.85726e43i 0.0420774 0.0242934i
\(657\) 4.33751e44 + 2.28127e44i 0.359911 + 0.189292i
\(658\) −3.33370e44 + 9.81885e44i −0.269968 + 0.795145i
\(659\) 7.12709e44i 0.563308i 0.959516 + 0.281654i \(0.0908830\pi\)
−0.959516 + 0.281654i \(0.909117\pi\)
\(660\) −7.58811e44 2.62395e45i −0.585370 2.02420i
\(661\) −3.54069e43 + 6.13266e43i −0.0266603 + 0.0461770i −0.879048 0.476734i \(-0.841821\pi\)
0.852387 + 0.522911i \(0.175154\pi\)
\(662\) 1.11764e44 + 6.45267e43i 0.0821434 + 0.0474255i
\(663\) −6.12908e42 + 1.77245e42i −0.00439723 + 0.00127162i
\(664\) 4.14740e44 0.290460
\(665\) 2.59144e45 + 8.79849e44i 1.77172 + 0.601536i
\(666\) −1.58204e45 + 3.00802e45i −1.05592 + 2.00767i
\(667\) −4.04737e44 7.01025e44i −0.263730 0.456794i
\(668\) 3.90750e44 + 2.25600e44i 0.248585 + 0.143521i
\(669\) −8.19324e44 + 8.52271e44i −0.508906 + 0.529370i
\(670\) 1.95370e45 + 3.38390e45i 1.18484 + 2.05221i
\(671\) 1.86782e44i 0.110605i
\(672\) −2.06610e45 + 1.06985e45i −1.19465 + 0.618609i
\(673\) −8.28939e44 −0.468038 −0.234019 0.972232i \(-0.575188\pi\)
−0.234019 + 0.972232i \(0.575188\pi\)
\(674\) 3.59166e45 2.07365e45i 1.98033 1.14334i
\(675\) 1.77623e45 5.90442e44i 0.956401 0.317920i
\(676\) −8.10282e44 + 1.40345e45i −0.426078 + 0.737989i
\(677\) 1.14755e45 6.62538e44i 0.589322 0.340245i −0.175507 0.984478i \(-0.556157\pi\)
0.764830 + 0.644233i \(0.222823\pi\)
\(678\) 2.94772e45 + 7.27895e44i 1.47846 + 0.365085i
\(679\) 2.50629e45 4.98377e44i 1.22777 0.244142i
\(680\) 1.60857e43i 0.00769656i
\(681\) −3.63704e45 + 1.05178e45i −1.69979 + 0.491555i
\(682\) −2.87866e45 + 4.98599e45i −1.31414 + 2.27615i
\(683\) −2.77395e45 1.60154e45i −1.23700 0.714180i −0.268517 0.963275i \(-0.586533\pi\)
−0.968479 + 0.249095i \(0.919867\pi\)
\(684\) −1.04075e44 2.63914e45i −0.0453365 1.14965i
\(685\) 7.96278e44 0.338856
\(686\) 1.45587e45 2.95089e45i 0.605254 1.22678i
\(687\) −1.20371e45 2.97238e44i −0.488893 0.120725i
\(688\) 1.32431e44 + 2.29378e44i 0.0525503 + 0.0910198i
\(689\) 6.07896e44 + 3.50969e44i 0.235679 + 0.136070i
\(690\) −4.87918e45 4.69057e45i −1.84825 1.77680i
\(691\) −2.06985e45 3.58508e45i −0.766107 1.32694i −0.939659 0.342112i \(-0.888858\pi\)
0.173552 0.984825i \(-0.444476\pi\)
\(692\) 1.75474e45i 0.634624i
\(693\) −1.37118e45 + 4.63046e45i −0.484575 + 1.63641i
\(694\) −5.73336e45 −1.97997
\(695\) −7.04118e45 + 4.06523e45i −2.37623 + 1.37192i
\(696\) −1.47505e44 + 1.53437e44i −0.0486473 + 0.0506036i
\(697\) −2.09139e42 + 3.62240e42i −0.000674080 + 0.00116754i
\(698\) −2.11267e45 + 1.21975e45i −0.665495 + 0.384224i
\(699\) 4.78975e44 1.93968e45i 0.147461 0.597166i
\(700\) 1.92413e45 + 2.19431e45i 0.578981 + 0.660281i
\(701\) 4.96103e45i 1.45909i −0.683930 0.729547i \(-0.739731\pi\)
0.683930 0.729547i \(-0.260269\pi\)
\(702\) 6.91406e44 + 1.42083e44i 0.198765 + 0.0408459i
\(703\) −3.89604e45 + 6.74813e45i −1.09481 + 1.89626i
\(704\) 3.91838e45 + 2.26228e45i 1.07633 + 0.621418i
\(705\) 8.99895e44 + 3.11182e45i 0.241639 + 0.835581i
\(706\) −3.98557e45 −1.04620
\(707\) −3.26192e45 1.10749e45i −0.837071 0.284203i
\(708\) 4.58476e44 1.85667e45i 0.115023 0.465802i
\(709\) 2.72588e45 + 4.72136e45i 0.668601 + 1.15805i 0.978296 + 0.207214i \(0.0664398\pi\)
−0.309695 + 0.950836i \(0.600227\pi\)
\(710\) 1.79256e45 + 1.03493e45i 0.429873 + 0.248187i
\(711\) 1.07139e45 6.76214e44i 0.251209 0.158552i
\(712\) 3.81553e44 + 6.60869e44i 0.0874732 + 0.151508i
\(713\) 6.64242e45i 1.48900i
\(714\) 1.03827e44 1.62199e44i 0.0227583 0.0355530i
\(715\) 1.67361e45 0.358721
\(716\) −2.39660e45 + 1.38368e45i −0.502329 + 0.290020i
\(717\) −2.71565e45 2.61067e45i −0.556632 0.535113i
\(718\) −1.16293e45 + 2.01426e45i −0.233112 + 0.403761i
\(719\) 5.49140e45 3.17046e45i 1.07652 0.621527i 0.146562 0.989201i \(-0.453179\pi\)
0.929955 + 0.367674i \(0.119846\pi\)
\(720\) −3.82598e45 + 7.27455e45i −0.733539 + 1.39472i
\(721\) −2.74828e45 3.13418e45i −0.515343 0.587706i
\(722\) 5.54617e45i 1.01718i
\(723\) −2.80673e45 9.70562e45i −0.503487 1.74105i
\(724\) 3.15381e45 5.46256e45i 0.553374 0.958471i
\(725\) 2.02808e45 + 1.17091e45i 0.348078 + 0.200963i
\(726\) 1.49712e46 4.32948e45i 2.51346 0.726858i
\(727\) 2.65652e45 0.436278 0.218139 0.975918i \(-0.430001\pi\)
0.218139 + 0.975918i \(0.430001\pi\)
\(728\) −3.16965e43 1.59398e44i −0.00509224 0.0256084i
\(729\) 7.50598e44 + 6.31826e45i 0.117969 + 0.993017i
\(730\) 2.56331e45 + 4.43979e45i 0.394127 + 0.682648i
\(731\) −1.67895e43 9.69342e42i −0.00252557 0.00145814i
\(732\) 2.65916e44 2.76609e44i 0.0391352 0.0407089i
\(733\) −3.43625e45 5.95177e45i −0.494791 0.857003i 0.505191 0.863007i \(-0.331422\pi\)
−0.999982 + 0.00600459i \(0.998089\pi\)
\(734\) 1.04036e46i 1.46570i
\(735\) −1.54108e45 1.01631e46i −0.212436 1.40097i
\(736\) 1.31921e46 1.77938
\(737\) −1.36900e46 + 7.90393e45i −1.80686 + 1.04319i
\(738\) 3.91324e44 2.46986e44i 0.0505399 0.0318985i
\(739\) 6.14203e44 1.06383e45i 0.0776249 0.134450i −0.824600 0.565716i \(-0.808600\pi\)
0.902225 +