Properties

Label 21.33.h.b.11.9
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 11.9
Character \(\chi\) \(=\) 21.11
Dual form 21.33.h.b.2.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-95143.0 + 54930.9i) q^{2} +(4.10114e7 + 1.30799e7i) q^{3} +(3.88731e9 - 6.73302e9i) q^{4} +(-1.11850e11 + 6.45768e10i) q^{5} +(-4.62044e12 + 1.00833e12i) q^{6} +(2.02925e13 + 2.63181e13i) q^{7} +3.82281e14i q^{8} +(1.51085e15 + 1.07285e15i) q^{9} +O(q^{10})\) \(q+(-95143.0 + 54930.9i) q^{2} +(4.10114e7 + 1.30799e7i) q^{3} +(3.88731e9 - 6.73302e9i) q^{4} +(-1.11850e11 + 6.45768e10i) q^{5} +(-4.62044e12 + 1.00833e12i) q^{6} +(2.02925e13 + 2.63181e13i) q^{7} +3.82281e14i q^{8} +(1.51085e15 + 1.07285e15i) q^{9} +(7.09452e15 - 1.22881e16i) q^{10} +(1.13384e16 + 6.54622e15i) q^{11} +(2.47492e17 - 2.25285e17i) q^{12} -3.93803e17 q^{13} +(-3.37636e18 - 1.38930e18i) q^{14} +(-5.43180e18 + 1.18539e18i) q^{15} +(-4.30316e18 - 7.45329e18i) q^{16} +(2.41230e18 + 1.39274e18i) q^{17} +(-2.02680e20 - 1.90819e19i) q^{18} +(2.34816e20 + 4.06713e20i) q^{19} +1.00412e21i q^{20} +(4.87984e20 + 1.34477e21i) q^{21} -1.43836e21 q^{22} +(3.57428e21 - 2.06361e21i) q^{23} +(-5.00020e21 + 1.56779e22i) q^{24} +(-3.30121e21 + 5.71786e21i) q^{25} +(3.74676e22 - 2.16319e22i) q^{26} +(4.79294e22 + 6.37609e22i) q^{27} +(2.56084e23 - 3.43229e22i) q^{28} -9.20826e22i q^{29} +(4.51683e23 - 4.11155e23i) q^{30} +(-4.13435e23 + 7.16091e23i) q^{31} +(-6.03084e23 - 3.48191e23i) q^{32} +(3.79380e23 + 4.16775e23i) q^{33} -3.06018e23 q^{34} +(-3.96926e24 - 1.63327e24i) q^{35} +(1.30967e25 - 6.00210e24i) q^{36} +(4.88390e24 + 8.45916e24i) q^{37} +(-4.46822e25 - 2.57973e25i) q^{38} +(-1.61504e25 - 5.15090e24i) q^{39} +(-2.46865e25 - 4.27583e25i) q^{40} -9.10766e25i q^{41} +(-1.20297e26 - 1.01140e26i) q^{42} +5.26326e25 q^{43} +(8.81518e25 - 5.08944e25i) q^{44} +(-2.38271e26 - 2.24327e25i) q^{45} +(-2.26712e26 + 3.92677e26i) q^{46} +(6.86237e26 - 3.96199e26i) q^{47} +(-7.89903e25 - 3.61955e26i) q^{48} +(-2.80859e26 + 1.06812e27i) q^{49} -7.25353e26i q^{50} +(8.07149e25 + 8.86710e25i) q^{51} +(-1.53083e27 + 2.65148e27i) q^{52} +(1.42358e27 + 8.21906e26i) q^{53} +(-8.06259e27 - 3.43361e27i) q^{54} -1.69094e27 q^{55} +(-1.00609e28 + 7.75743e27i) q^{56} +(4.31036e27 + 1.97513e28i) q^{57} +(5.05818e27 + 8.76102e27i) q^{58} +(1.27075e28 + 7.33665e27i) q^{59} +(-1.31338e28 + 4.11804e28i) q^{60} +(-1.94877e27 - 3.37536e27i) q^{61} -9.08414e28i q^{62} +(2.42350e27 + 6.15336e28i) q^{63} +1.13470e29 q^{64} +(4.40469e28 - 2.54305e28i) q^{65} +(-5.89891e28 - 1.88136e28i) q^{66} +(-1.10986e28 + 1.92234e28i) q^{67} +(1.87547e28 - 1.08280e28i) q^{68} +(1.73578e29 - 3.78804e28i) q^{69} +(4.67364e29 - 6.26408e28i) q^{70} +1.54328e29i q^{71} +(-4.10131e29 + 5.77571e29i) q^{72} +(1.70828e29 - 2.95883e29i) q^{73} +(-9.29337e29 - 5.36553e29i) q^{74} +(-2.10176e29 + 1.91318e29i) q^{75} +3.65121e30 q^{76} +(5.77996e28 + 4.31244e29i) q^{77} +(1.81954e30 - 3.97083e29i) q^{78} +(2.00947e30 + 3.48050e30i) q^{79} +(9.62619e29 + 5.55768e29i) q^{80} +(1.13167e30 + 3.24184e30i) q^{81} +(5.00292e30 + 8.66531e30i) q^{82} +9.63928e30i q^{83} +(1.09513e31 + 1.94192e30i) q^{84} -3.59755e29 q^{85} +(-5.00762e30 + 2.89115e30i) q^{86} +(1.20443e30 - 3.77644e30i) q^{87} +(-2.50250e30 + 4.33446e30i) q^{88} +(-5.98441e30 + 3.45510e30i) q^{89} +(2.39020e31 - 1.09541e31i) q^{90} +(-7.99122e30 - 1.03641e31i) q^{91} -3.20876e31i q^{92} +(-2.63220e31 + 2.39602e31i) q^{93} +(-4.35271e31 + 7.53912e31i) q^{94} +(-5.25285e31 - 3.03273e31i) q^{95} +(-2.01790e31 - 2.21681e31i) q^{96} +7.70735e31 q^{97} +(-3.19509e31 - 1.17052e32i) q^{98} +(1.01075e31 + 2.20548e31i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −95143.0 + 54930.9i −1.45177 + 0.838178i −0.998582 0.0532379i \(-0.983046\pi\)
−0.453186 + 0.891416i \(0.649712\pi\)
\(3\) 4.10114e7 + 1.30799e7i 0.952719 + 0.303854i
\(4\) 3.88731e9 6.73302e9i 0.905086 1.56765i
\(5\) −1.11850e11 + 6.45768e10i −0.733022 + 0.423210i −0.819527 0.573041i \(-0.805764\pi\)
0.0865047 + 0.996251i \(0.472430\pi\)
\(6\) −4.62044e12 + 1.00833e12i −1.63781 + 0.357423i
\(7\) 2.02925e13 + 2.63181e13i 0.610613 + 0.791929i
\(8\) 3.82281e14i 1.35814i
\(9\) 1.51085e15 + 1.07285e15i 0.815346 + 0.578974i
\(10\) 7.09452e15 1.22881e16i 0.709452 1.22881i
\(11\) 1.13384e16 + 6.54622e15i 0.246756 + 0.142465i 0.618278 0.785959i \(-0.287831\pi\)
−0.371522 + 0.928424i \(0.621164\pi\)
\(12\) 2.47492e17 2.25285e17i 1.33863 1.21852i
\(13\) −3.93803e17 −0.591813 −0.295907 0.955217i \(-0.595622\pi\)
−0.295907 + 0.955217i \(0.595622\pi\)
\(14\) −3.37636e18 1.38930e18i −1.55025 0.637894i
\(15\) −5.43180e18 + 1.18539e18i −0.826958 + 0.180469i
\(16\) −4.30316e18 7.45329e18i −0.233275 0.404043i
\(17\) 2.41230e18 + 1.39274e18i 0.0495734 + 0.0286212i 0.524582 0.851360i \(-0.324222\pi\)
−0.475008 + 0.879981i \(0.657555\pi\)
\(18\) −2.02680e20 1.90819e19i −1.66898 0.157131i
\(19\) 2.34816e20 + 4.06713e20i 0.814085 + 1.41004i 0.909983 + 0.414646i \(0.136095\pi\)
−0.0958973 + 0.995391i \(0.530572\pi\)
\(20\) 1.00412e21i 1.53217i
\(21\) 4.87984e20 + 1.34477e21i 0.341112 + 0.940023i
\(22\) −1.43836e21 −0.477644
\(23\) 3.57428e21 2.06361e21i 0.582832 0.336498i −0.179426 0.983771i \(-0.557424\pi\)
0.762258 + 0.647273i \(0.224091\pi\)
\(24\) −5.00020e21 + 1.56779e22i −0.412675 + 1.29392i
\(25\) −3.30121e21 + 5.71786e21i −0.141786 + 0.245580i
\(26\) 3.74676e22 2.16319e22i 0.859175 0.496045i
\(27\) 4.79294e22 + 6.37609e22i 0.600872 + 0.799345i
\(28\) 2.56084e23 3.43229e22i 1.79413 0.240467i
\(29\) 9.20826e22i 0.367968i −0.982929 0.183984i \(-0.941101\pi\)
0.982929 0.183984i \(-0.0588994\pi\)
\(30\) 4.51683e23 4.11155e23i 1.04929 0.955137i
\(31\) −4.13435e23 + 7.16091e23i −0.568356 + 0.984421i 0.428373 + 0.903602i \(0.359087\pi\)
−0.996729 + 0.0808190i \(0.974246\pi\)
\(32\) −6.03084e23 3.48191e23i −0.498860 0.288017i
\(33\) 3.79380e23 + 4.16775e23i 0.191801 + 0.210707i
\(34\) −3.06018e23 −0.0959587
\(35\) −3.96926e24 1.63327e24i −0.782746 0.322083i
\(36\) 1.30967e25 6.00210e24i 1.64559 0.754159i
\(37\) 4.88390e24 + 8.45916e24i 0.395857 + 0.685645i 0.993210 0.116333i \(-0.0371141\pi\)
−0.597353 + 0.801979i \(0.703781\pi\)
\(38\) −4.46822e25 2.57973e25i −2.36373 1.36470i
\(39\) −1.61504e25 5.15090e24i −0.563832 0.179825i
\(40\) −2.46865e25 4.27583e25i −0.574777 0.995544i
\(41\) 9.10766e25i 1.42845i −0.699916 0.714225i \(-0.746779\pi\)
0.699916 0.714225i \(-0.253221\pi\)
\(42\) −1.20297e26 1.01140e26i −1.28312 1.07878i
\(43\) 5.26326e25 0.385265 0.192632 0.981271i \(-0.438298\pi\)
0.192632 + 0.981271i \(0.438298\pi\)
\(44\) 8.81518e25 5.08944e25i 0.446671 0.257886i
\(45\) −2.38271e26 2.24327e25i −0.842694 0.0793380i
\(46\) −2.26712e26 + 3.92677e26i −0.564091 + 0.977035i
\(47\) 6.86237e26 3.96199e26i 1.21034 0.698792i 0.247509 0.968886i \(-0.420388\pi\)
0.962834 + 0.270094i \(0.0870548\pi\)
\(48\) −7.89903e25 3.61955e26i −0.0994750 0.455821i
\(49\) −2.80859e26 + 1.06812e27i −0.254303 + 0.967125i
\(50\) 7.25353e26i 0.475367i
\(51\) 8.07149e25 + 8.86710e25i 0.0385328 + 0.0423310i
\(52\) −1.53083e27 + 2.65148e27i −0.535642 + 0.927759i
\(53\) 1.42358e27 + 8.21906e26i 0.367256 + 0.212035i 0.672259 0.740316i \(-0.265324\pi\)
−0.305003 + 0.952351i \(0.598657\pi\)
\(54\) −8.06259e27 3.43361e27i −1.54232 0.656826i
\(55\) −1.69094e27 −0.241171
\(56\) −1.00609e28 + 7.75743e27i −1.07555 + 0.829296i
\(57\) 4.31036e27 + 1.97513e28i 0.347149 + 1.59073i
\(58\) 5.05818e27 + 8.76102e27i 0.308423 + 0.534204i
\(59\) 1.27075e28 + 7.33665e27i 0.589422 + 0.340303i 0.764869 0.644186i \(-0.222804\pi\)
−0.175447 + 0.984489i \(0.556137\pi\)
\(60\) −1.31338e28 + 4.11804e28i −0.465555 + 1.45972i
\(61\) −1.94877e27 3.37536e27i −0.0530252 0.0918424i 0.838294 0.545218i \(-0.183553\pi\)
−0.891320 + 0.453375i \(0.850220\pi\)
\(62\) 9.08414e28i 1.90553i
\(63\) 2.42350e27 + 6.15336e28i 0.0393545 + 0.999225i
\(64\) 1.13470e29 1.43219
\(65\) 4.40469e28 2.54305e28i 0.433812 0.250462i
\(66\) −5.89891e28 1.88136e28i −0.455060 0.145134i
\(67\) −1.10986e28 + 1.92234e28i −0.0673088 + 0.116582i −0.897716 0.440575i \(-0.854775\pi\)
0.830407 + 0.557157i \(0.188108\pi\)
\(68\) 1.87547e28 1.08280e28i 0.0897363 0.0518093i
\(69\) 1.73578e29 3.78804e28i 0.657521 0.143493i
\(70\) 4.67364e29 6.26408e28i 1.40633 0.188490i
\(71\) 1.54328e29i 0.370094i 0.982730 + 0.185047i \(0.0592438\pi\)
−0.982730 + 0.185047i \(0.940756\pi\)
\(72\) −4.10131e29 + 5.77571e29i −0.786326 + 1.10735i
\(73\) 1.70828e29 2.95883e29i 0.262660 0.454940i −0.704288 0.709914i \(-0.748734\pi\)
0.966948 + 0.254974i \(0.0820670\pi\)
\(74\) −9.29337e29 5.36553e29i −1.14939 0.663598i
\(75\) −2.10176e29 + 1.91318e29i −0.209702 + 0.190887i
\(76\) 3.65121e30 2.94727
\(77\) 5.77996e28 + 4.31244e29i 0.0378507 + 0.282405i
\(78\) 1.81954e30 3.97083e29i 0.969278 0.211528i
\(79\) 2.00947e30 + 3.48050e30i 0.873066 + 1.51220i 0.858808 + 0.512297i \(0.171205\pi\)
0.0142581 + 0.999898i \(0.495461\pi\)
\(80\) 9.62619e29 + 5.55768e29i 0.341991 + 0.197448i
\(81\) 1.13167e30 + 3.24184e30i 0.329578 + 0.944128i
\(82\) 5.00292e30 + 8.66531e30i 1.19730 + 2.07378i
\(83\) 9.63928e30i 1.90018i 0.311974 + 0.950091i \(0.399010\pi\)
−0.311974 + 0.950091i \(0.600990\pi\)
\(84\) 1.09513e31 + 1.94192e30i 1.78237 + 0.316055i
\(85\) −3.59755e29 −0.0484512
\(86\) −5.00762e30 + 2.89115e30i −0.559315 + 0.322921i
\(87\) 1.20443e30 3.77644e30i 0.111808 0.350570i
\(88\) −2.50250e30 + 4.33446e30i −0.193487 + 0.335129i
\(89\) −5.98441e30 + 3.45510e30i −0.386173 + 0.222957i −0.680500 0.732748i \(-0.738238\pi\)
0.294328 + 0.955705i \(0.404904\pi\)
\(90\) 2.39020e31 1.09541e31i 1.28990 0.591148i
\(91\) −7.99122e30 1.03641e31i −0.361369 0.468674i
\(92\) 3.20876e31i 1.21824i
\(93\) −2.63220e31 + 2.39602e31i −0.840603 + 0.765179i
\(94\) −4.35271e31 + 7.53912e31i −1.17142 + 2.02897i
\(95\) −5.25285e31 3.03273e31i −1.19349 0.689059i
\(96\) −2.01790e31 2.21681e31i −0.387758 0.425979i
\(97\) 7.70735e31 1.25475 0.627375 0.778717i \(-0.284129\pi\)
0.627375 + 0.778717i \(0.284129\pi\)
\(98\) −3.19509e31 1.17052e32i −0.441434 1.61719i
\(99\) 1.01075e31 + 2.20548e31i 0.118708 + 0.259024i
\(100\) 2.56657e31 + 4.44542e31i 0.256657 + 0.444542i
\(101\) 1.35043e32 + 7.79668e31i 1.15167 + 0.664918i 0.949294 0.314390i \(-0.101800\pi\)
0.202377 + 0.979308i \(0.435133\pi\)
\(102\) −1.25502e31 4.00269e30i −0.0914216 0.0291574i
\(103\) −1.21426e32 2.10316e32i −0.756686 1.31062i −0.944532 0.328421i \(-0.893484\pi\)
0.187845 0.982199i \(-0.439850\pi\)
\(104\) 1.50543e32i 0.803763i
\(105\) −1.41422e32 1.18900e32i −0.647870 0.544695i
\(106\) −1.80592e32 −0.710893
\(107\) −4.44499e31 + 2.56631e31i −0.150567 + 0.0869300i −0.573391 0.819282i \(-0.694372\pi\)
0.422824 + 0.906212i \(0.361039\pi\)
\(108\) 6.15621e32 7.48511e31i 1.79694 0.218483i
\(109\) −2.63477e32 + 4.56355e32i −0.663618 + 1.14942i 0.316039 + 0.948746i \(0.397647\pi\)
−0.979658 + 0.200675i \(0.935687\pi\)
\(110\) 1.60881e32 9.28846e31i 0.350124 0.202144i
\(111\) 8.96505e31 + 4.10803e32i 0.168805 + 0.773510i
\(112\) 1.08835e32 2.64497e32i 0.177533 0.431451i
\(113\) 6.28417e32i 0.889186i 0.895733 + 0.444593i \(0.146652\pi\)
−0.895733 + 0.444593i \(0.853348\pi\)
\(114\) −1.49505e33 1.64242e33i −1.83730 2.01840i
\(115\) −2.66523e32 + 4.61631e32i −0.284819 + 0.493321i
\(116\) −6.19995e32 3.57954e32i −0.576846 0.333042i
\(117\) −5.94977e32 4.22491e32i −0.482533 0.342645i
\(118\) −1.61203e33 −1.14094
\(119\) 1.22972e31 + 9.17494e31i 0.00760420 + 0.0567351i
\(120\) −4.53154e32 2.07647e33i −0.245102 1.12312i
\(121\) −9.69983e32 1.68006e33i −0.459408 0.795717i
\(122\) 3.70823e32 + 2.14095e32i 0.153961 + 0.0888892i
\(123\) 1.19127e33 3.73518e33i 0.434040 1.36091i
\(124\) 3.21430e33 + 5.56734e33i 1.02882 + 1.78197i
\(125\) 3.85982e33i 1.08644i
\(126\) −3.61067e33 5.72137e33i −0.894663 1.41766i
\(127\) 4.50911e33 0.984536 0.492268 0.870444i \(-0.336168\pi\)
0.492268 + 0.870444i \(0.336168\pi\)
\(128\) −8.20561e33 + 4.73751e33i −1.58034 + 0.912411i
\(129\) 2.15854e33 + 6.88429e32i 0.367049 + 0.117064i
\(130\) −2.79384e33 + 4.83907e33i −0.419863 + 0.727224i
\(131\) −2.69507e33 + 1.55600e33i −0.358286 + 0.206856i −0.668329 0.743866i \(-0.732990\pi\)
0.310043 + 0.950723i \(0.399657\pi\)
\(132\) 4.28092e33 9.34237e32i 0.503912 0.109970i
\(133\) −5.93893e33 + 1.44331e34i −0.619558 + 1.50569i
\(134\) 2.43863e33i 0.225667i
\(135\) −9.47839e33 4.03655e33i −0.778744 0.331643i
\(136\) −5.32419e32 + 9.22177e32i −0.0388715 + 0.0673274i
\(137\) −2.11096e33 1.21876e33i −0.137073 0.0791390i 0.429895 0.902879i \(-0.358550\pi\)
−0.566968 + 0.823740i \(0.691884\pi\)
\(138\) −1.44340e34 + 1.31389e34i −0.834296 + 0.759438i
\(139\) 2.53249e34 1.30410 0.652049 0.758177i \(-0.273910\pi\)
0.652049 + 0.758177i \(0.273910\pi\)
\(140\) −2.64266e34 + 2.03761e34i −1.21337 + 0.935561i
\(141\) 3.33258e34 7.27277e33i 1.36545 0.297985i
\(142\) −8.47739e33 1.46833e34i −0.310205 0.537291i
\(143\) −4.46509e33 2.57792e33i −0.146034 0.0843126i
\(144\) 1.49483e33 1.58775e34i 0.0437313 0.464495i
\(145\) 5.94640e33 + 1.02995e34i 0.155728 + 0.269728i
\(146\) 3.75349e34i 0.880623i
\(147\) −2.54893e34 + 4.01315e34i −0.536144 + 0.844127i
\(148\) 7.59409e34 1.43314
\(149\) 9.05303e34 5.22677e34i 1.53396 0.885631i 0.534785 0.844988i \(-0.320393\pi\)
0.999174 0.0406429i \(-0.0129406\pi\)
\(150\) 9.48755e33 2.97477e34i 0.144442 0.452891i
\(151\) −4.90265e34 + 8.49164e34i −0.671120 + 1.16241i 0.306467 + 0.951881i \(0.400853\pi\)
−0.977587 + 0.210532i \(0.932480\pi\)
\(152\) −1.55479e35 + 8.97658e34i −1.91502 + 1.10564i
\(153\) 2.15042e33 + 4.69227e33i 0.0238485 + 0.0520379i
\(154\) −2.91878e34 3.78549e34i −0.291656 0.378260i
\(155\) 1.06793e35i 0.962136i
\(156\) −9.74628e34 + 8.87179e34i −0.792219 + 0.721137i
\(157\) 8.32926e34 1.44267e35i 0.611240 1.05870i −0.379791 0.925072i \(-0.624004\pi\)
0.991032 0.133627i \(-0.0426625\pi\)
\(158\) −3.82373e35 2.20763e35i −2.53498 1.46357i
\(159\) 4.76327e34 + 5.23278e34i 0.285464 + 0.313602i
\(160\) 8.99402e34 0.487567
\(161\) 1.26841e35 + 5.21926e34i 0.622368 + 0.256091i
\(162\) −2.85747e35 2.46275e35i −1.26982 1.09441i
\(163\) −1.87309e35 3.24428e35i −0.754321 1.30652i −0.945711 0.325009i \(-0.894633\pi\)
0.191390 0.981514i \(-0.438701\pi\)
\(164\) −6.13221e35 3.54043e35i −2.23932 1.29287i
\(165\) −6.93477e34 2.21173e34i −0.229768 0.0732806i
\(166\) −5.29494e35 9.17110e35i −1.59269 2.75862i
\(167\) 1.18119e34i 0.0322742i −0.999870 0.0161371i \(-0.994863\pi\)
0.999870 0.0161371i \(-0.00513683\pi\)
\(168\) −5.14079e35 + 1.86547e35i −1.27668 + 0.463277i
\(169\) −2.87699e35 −0.649757
\(170\) 3.42282e34 1.97617e34i 0.0703398 0.0406107i
\(171\) −8.15704e34 + 8.66406e35i −0.152614 + 1.62100i
\(172\) 2.04599e35 3.54376e35i 0.348698 0.603962i
\(173\) −1.07211e36 + 6.18985e35i −1.66534 + 0.961485i −0.695243 + 0.718775i \(0.744703\pi\)
−0.970099 + 0.242710i \(0.921964\pi\)
\(174\) 9.28497e34 + 4.25462e35i 0.131520 + 0.602661i
\(175\) −2.17473e35 + 2.91479e34i −0.281058 + 0.0376703i
\(176\) 1.12678e35i 0.132934i
\(177\) 4.25188e35 + 4.67099e35i 0.458151 + 0.503311i
\(178\) 3.79583e35 6.57458e35i 0.373755 0.647363i
\(179\) −6.69789e34 3.86703e34i −0.0602961 0.0348120i 0.469549 0.882906i \(-0.344417\pi\)
−0.529845 + 0.848095i \(0.677750\pi\)
\(180\) −1.07727e36 + 1.51708e36i −0.887085 + 1.24925i
\(181\) −1.19033e36 −0.897036 −0.448518 0.893774i \(-0.648048\pi\)
−0.448518 + 0.893774i \(0.648048\pi\)
\(182\) 1.32962e36 + 5.47111e35i 0.917456 + 0.377514i
\(183\) −3.57723e34 1.63918e35i −0.0226115 0.103612i
\(184\) 7.88881e35 + 1.36638e36i 0.457011 + 0.791566i
\(185\) −1.09253e36 6.30773e35i −0.580344 0.335062i
\(186\) 1.18820e36 3.72553e36i 0.579003 1.81544i
\(187\) 1.82344e34 + 3.15829e34i 0.00815503 + 0.0141249i
\(188\) 6.16060e36i 2.52987i
\(189\) −7.05462e35 + 2.55528e36i −0.266125 + 0.963939i
\(190\) 6.66362e36 2.31022
\(191\) −1.69641e36 + 9.79422e35i −0.540750 + 0.312202i −0.745383 0.666637i \(-0.767733\pi\)
0.204633 + 0.978839i \(0.434400\pi\)
\(192\) 4.65355e36 + 1.48417e36i 1.36447 + 0.435175i
\(193\) 1.01493e36 1.75790e36i 0.273853 0.474328i −0.695992 0.718050i \(-0.745035\pi\)
0.969845 + 0.243722i \(0.0783684\pi\)
\(194\) −7.33301e36 + 4.23371e36i −1.82161 + 1.05170i
\(195\) 2.13906e36 4.66811e35i 0.489405 0.106804i
\(196\) 6.09988e36 + 6.04315e36i 1.28595 + 1.27399i
\(197\) 5.88573e36i 1.14377i −0.820332 0.571887i \(-0.806211\pi\)
0.820332 0.571887i \(-0.193789\pi\)
\(198\) −2.17315e36 1.54314e36i −0.389445 0.276544i
\(199\) −3.44660e36 + 5.96968e36i −0.569825 + 0.986965i 0.426758 + 0.904366i \(0.359656\pi\)
−0.996583 + 0.0825996i \(0.973678\pi\)
\(200\) −2.18583e36 1.26199e36i −0.333531 0.192564i
\(201\) −7.06610e35 + 6.43209e35i −0.0995504 + 0.0906181i
\(202\) −1.71311e37 −2.22928
\(203\) 2.42344e36 1.86858e36i 0.291404 0.224686i
\(204\) 9.10788e35 1.98763e35i 0.101236 0.0220930i
\(205\) 5.88144e36 + 1.01869e37i 0.604535 + 1.04709i
\(206\) 2.31057e37 + 1.33401e37i 2.19707 + 1.26848i
\(207\) 7.61416e36 + 7.16858e35i 0.670034 + 0.0630823i
\(208\) 1.69459e36 + 2.93512e36i 0.138055 + 0.239118i
\(209\) 6.14863e36i 0.463914i
\(210\) 1.99866e37 + 3.54409e36i 1.39711 + 0.247740i
\(211\) 4.96907e36 0.321926 0.160963 0.986960i \(-0.448540\pi\)
0.160963 + 0.986960i \(0.448540\pi\)
\(212\) 1.10678e37 6.39001e36i 0.664796 0.383820i
\(213\) −2.01860e36 + 6.32923e36i −0.112455 + 0.352596i
\(214\) 2.81940e36 4.88334e36i 0.145726 0.252404i
\(215\) −5.88697e36 + 3.39884e36i −0.282408 + 0.163048i
\(216\) −2.43746e37 + 1.83225e37i −1.08562 + 0.816066i
\(217\) −2.72358e37 + 3.65041e36i −1.12664 + 0.151003i
\(218\) 5.78920e37i 2.22492i
\(219\) 1.08760e37 9.90016e36i 0.388476 0.353620i
\(220\) −6.57320e36 + 1.13851e37i −0.218280 + 0.378072i
\(221\) −9.49970e35 5.48465e35i −0.0293382 0.0169384i
\(222\) −3.10954e37 3.41604e37i −0.893405 0.981468i
\(223\) 2.73018e36 0.0729984 0.0364992 0.999334i \(-0.488379\pi\)
0.0364992 + 0.999334i \(0.488379\pi\)
\(224\) −3.07434e36 2.29377e37i −0.0765215 0.570928i
\(225\) −1.11221e37 + 5.09714e36i −0.257789 + 0.118142i
\(226\) −3.45195e37 5.97895e37i −0.745296 1.29089i
\(227\) −5.47266e37 3.15964e37i −1.10099 0.635659i −0.164512 0.986375i \(-0.552605\pi\)
−0.936482 + 0.350716i \(0.885938\pi\)
\(228\) 1.49741e38 + 4.77575e37i 2.80792 + 0.895538i
\(229\) 1.19282e37 + 2.06602e37i 0.208548 + 0.361216i 0.951257 0.308398i \(-0.0997929\pi\)
−0.742709 + 0.669614i \(0.766460\pi\)
\(230\) 5.85614e37i 0.954917i
\(231\) −3.27019e36 + 1.84419e37i −0.0497486 + 0.280553i
\(232\) 3.52015e37 0.499750
\(233\) 6.10394e37 3.52411e37i 0.808938 0.467041i −0.0376488 0.999291i \(-0.511987\pi\)
0.846587 + 0.532250i \(0.178653\pi\)
\(234\) 7.98158e37 + 7.51449e36i 0.987723 + 0.0929921i
\(235\) −5.11705e37 + 8.86299e37i −0.591472 + 1.02446i
\(236\) 9.87957e37 5.70397e37i 1.06696 0.616007i
\(237\) 3.68865e37 + 1.69024e38i 0.372301 + 1.70598i
\(238\) −6.20986e36 8.05382e36i −0.0585936 0.0759925i
\(239\) 1.58728e38i 1.40051i −0.713893 0.700255i \(-0.753070\pi\)
0.713893 0.700255i \(-0.246930\pi\)
\(240\) 3.22090e37 + 3.53838e37i 0.265826 + 0.292028i
\(241\) 9.25986e37 1.60386e38i 0.715042 1.23849i −0.247901 0.968785i \(-0.579741\pi\)
0.962943 0.269704i \(-0.0869260\pi\)
\(242\) 1.84574e38 + 1.06564e38i 1.33391 + 0.770131i
\(243\) 4.00826e36 + 1.47754e38i 0.0271179 + 0.999632i
\(244\) −3.03019e37 −0.191970
\(245\) −3.75615e37 1.37606e38i −0.222888 0.816547i
\(246\) 9.18353e37 + 4.20814e38i 0.510561 + 2.33953i
\(247\) −9.24711e37 1.60165e38i −0.481787 0.834479i
\(248\) −2.73748e38 1.58049e38i −1.33698 0.771904i
\(249\) −1.26081e38 + 3.95320e38i −0.577377 + 1.81034i
\(250\) 2.12023e38 + 3.67235e38i 0.910632 + 1.57726i
\(251\) 1.14611e38i 0.461792i 0.972978 + 0.230896i \(0.0741657\pi\)
−0.972978 + 0.230896i \(0.925834\pi\)
\(252\) 4.23728e38 + 2.22883e38i 1.60206 + 0.842690i
\(253\) 5.40355e37 0.191757
\(254\) −4.29011e38 + 2.47689e38i −1.42932 + 0.825216i
\(255\) −1.47541e37 4.70556e36i −0.0461603 0.0147221i
\(256\) 2.76797e38 4.79426e38i 0.813433 1.40891i
\(257\) −3.17237e38 + 1.83157e38i −0.875898 + 0.505700i −0.869304 0.494279i \(-0.835432\pi\)
−0.00659396 + 0.999978i \(0.502099\pi\)
\(258\) −2.43186e38 + 5.30710e37i −0.630990 + 0.137703i
\(259\) −1.23523e38 + 3.00192e38i −0.301266 + 0.732155i
\(260\) 3.95425e38i 0.906757i
\(261\) 9.87909e37 1.39123e38i 0.213044 0.300021i
\(262\) 1.70945e38 2.96085e38i 0.346765 0.600615i
\(263\) 2.54825e38 + 1.47123e38i 0.486352 + 0.280795i 0.723060 0.690786i \(-0.242735\pi\)
−0.236708 + 0.971581i \(0.576068\pi\)
\(264\) −1.59325e38 + 1.45030e38i −0.286169 + 0.260492i
\(265\) −2.12304e38 −0.358942
\(266\) −2.27776e38 1.69944e39i −0.362579 2.70520i
\(267\) −2.90622e38 + 6.34231e37i −0.435660 + 0.0950752i
\(268\) 8.62876e37 + 1.49455e38i 0.121841 + 0.211034i
\(269\) −1.13963e39 6.57963e38i −1.51609 0.875316i −0.999822 0.0188903i \(-0.993987\pi\)
−0.516270 0.856426i \(-0.672680\pi\)
\(270\) 1.12353e39 1.36606e38i 1.40853 0.171258i
\(271\) −1.31654e38 2.28032e38i −0.155570 0.269455i 0.777696 0.628640i \(-0.216388\pi\)
−0.933266 + 0.359185i \(0.883055\pi\)
\(272\) 2.39727e37i 0.0267064i
\(273\) −1.92169e38 5.29573e38i −0.201875 0.556318i
\(274\) 2.67791e38 0.265330
\(275\) −7.48608e37 + 4.32209e37i −0.0699731 + 0.0403990i
\(276\) 4.19703e38 1.31596e39i 0.370167 1.16064i
\(277\) −4.21488e38 + 7.30038e38i −0.350840 + 0.607672i −0.986397 0.164382i \(-0.947437\pi\)
0.635557 + 0.772054i \(0.280770\pi\)
\(278\) −2.40948e39 + 1.39112e39i −1.89325 + 1.09307i
\(279\) −1.39290e39 + 6.38353e38i −1.03336 + 0.473580i
\(280\) 6.24367e38 1.51737e39i 0.437433 1.06308i
\(281\) 4.49511e38i 0.297467i 0.988877 + 0.148734i \(0.0475197\pi\)
−0.988877 + 0.148734i \(0.952480\pi\)
\(282\) −2.77122e39 + 2.52257e39i −1.73255 + 1.57709i
\(283\) −6.00493e38 + 1.04009e39i −0.354752 + 0.614449i −0.987076 0.160256i \(-0.948768\pi\)
0.632323 + 0.774705i \(0.282101\pi\)
\(284\) 1.03910e39 + 5.99923e38i 0.580180 + 0.334967i
\(285\) −1.75759e39 1.93083e39i −0.927682 1.01912i
\(286\) 5.66429e38 0.282676
\(287\) 2.39697e39 1.84817e39i 1.13123 0.872231i
\(288\) −5.37614e38 1.17308e39i −0.239989 0.523660i
\(289\) −1.18008e39 2.04395e39i −0.498362 0.863188i
\(290\) −1.13152e39 6.53282e38i −0.452161 0.261055i
\(291\) 3.16089e39 + 1.00811e39i 1.19542 + 0.381261i
\(292\) −1.32812e39 2.30038e39i −0.475459 0.823519i
\(293\) 3.75189e38i 0.127165i −0.997977 0.0635826i \(-0.979747\pi\)
0.997977 0.0635826i \(-0.0202526\pi\)
\(294\) 2.20677e38 5.21838e39i 0.0708270 1.67486i
\(295\) −1.89511e39 −0.576079
\(296\) −3.23378e39 + 1.86702e39i −0.931200 + 0.537628i
\(297\) 1.26049e38 + 1.03670e39i 0.0343903 + 0.282847i
\(298\) −5.74222e39 + 9.94581e39i −1.48463 + 2.57146i
\(299\) −1.40756e39 + 8.12656e38i −0.344928 + 0.199144i
\(300\) 4.71128e38 + 2.15884e39i 0.109446 + 0.501510i
\(301\) 1.06804e39 + 1.38519e39i 0.235248 + 0.305102i
\(302\) 1.07723e40i 2.25007i
\(303\) 4.51849e39 + 4.96387e39i 0.895181 + 0.983419i
\(304\) 2.02090e39 3.50030e39i 0.379811 0.657852i
\(305\) 4.35940e38 + 2.51690e38i 0.0777373 + 0.0448817i
\(306\) −4.62348e38 3.28312e38i −0.0782395 0.0555576i
\(307\) −2.55617e39 −0.410559 −0.205280 0.978703i \(-0.565810\pi\)
−0.205280 + 0.978703i \(0.565810\pi\)
\(308\) 3.12826e39 + 1.28721e39i 0.476971 + 0.196264i
\(309\) −2.22894e39 1.02136e40i −0.322673 1.47857i
\(310\) 5.86624e39 + 1.01606e40i 0.806442 + 1.39680i
\(311\) −3.16646e39 1.82815e39i −0.413435 0.238697i 0.278830 0.960341i \(-0.410054\pi\)
−0.692265 + 0.721644i \(0.743387\pi\)
\(312\) 1.96909e39 6.17400e39i 0.244226 0.765760i
\(313\) 3.58438e38 + 6.20833e38i 0.0422382 + 0.0731586i 0.886372 0.462974i \(-0.153218\pi\)
−0.844133 + 0.536133i \(0.819885\pi\)
\(314\) 1.83013e40i 2.04931i
\(315\) −4.24471e39 6.72605e39i −0.451730 0.715799i
\(316\) 3.12457e40 3.16080
\(317\) −1.38375e39 + 7.98910e38i −0.133079 + 0.0768333i −0.565062 0.825049i \(-0.691148\pi\)
0.431982 + 0.901882i \(0.357814\pi\)
\(318\) −7.40633e39 2.36213e39i −0.677281 0.216008i
\(319\) 6.02793e38 1.04407e39i 0.0524225 0.0907984i
\(320\) −1.26916e40 + 7.32750e39i −1.04982 + 0.606116i
\(321\) −2.15862e39 + 4.71082e38i −0.169862 + 0.0370694i
\(322\) −1.49351e40 + 2.00175e39i −1.11818 + 0.149870i
\(323\) 1.30815e39i 0.0932004i
\(324\) 2.62265e40 + 4.98251e39i 1.77836 + 0.337853i
\(325\) 1.30002e39 2.25171e39i 0.0839108 0.145338i
\(326\) 3.56422e40 + 2.05781e40i 2.19020 + 1.26451i
\(327\) −1.67746e40 + 1.52695e40i −0.981498 + 0.893432i
\(328\) 3.48169e40 1.94003
\(329\) 2.43527e40 + 1.00206e40i 1.29244 + 0.531814i
\(330\) 7.81287e39 1.70502e39i 0.394991 0.0862000i
\(331\) −1.11169e40 1.92551e40i −0.535472 0.927465i −0.999140 0.0414563i \(-0.986800\pi\)
0.463668 0.886009i \(-0.346533\pi\)
\(332\) 6.49015e40 + 3.74709e40i 2.97883 + 1.71983i
\(333\) −1.69657e39 + 1.80202e40i −0.0742102 + 0.788229i
\(334\) 6.48837e38 + 1.12382e39i 0.0270516 + 0.0468547i
\(335\) 2.86685e39i 0.113943i
\(336\) 7.92306e39 9.42383e39i 0.300237 0.357107i
\(337\) −3.88757e40 −1.40475 −0.702376 0.711806i \(-0.747878\pi\)
−0.702376 + 0.711806i \(0.747878\pi\)
\(338\) 2.73725e40 1.58035e40i 0.943296 0.544612i
\(339\) −8.21963e39 + 2.57723e40i −0.270182 + 0.847144i
\(340\) −1.39848e39 + 2.42224e39i −0.0438525 + 0.0759547i
\(341\) −9.37538e39 + 5.41288e39i −0.280491 + 0.161941i
\(342\) −3.98316e40 8.69132e40i −1.13713 2.48124i
\(343\) −3.38102e40 + 1.42831e40i −0.921175 + 0.389149i
\(344\) 2.01205e40i 0.523242i
\(345\) −1.69686e40 + 1.54461e40i −0.421250 + 0.383453i
\(346\) 6.80028e40 1.17784e41i 1.61179 2.79171i
\(347\) −6.03007e40 3.48146e40i −1.36474 0.787935i −0.374492 0.927230i \(-0.622183\pi\)
−0.990251 + 0.139295i \(0.955516\pi\)
\(348\) −2.07449e40 2.27897e40i −0.448376 0.492573i
\(349\) −4.64694e40 −0.959313 −0.479657 0.877456i \(-0.659239\pi\)
−0.479657 + 0.877456i \(0.659239\pi\)
\(350\) 1.90899e40 1.47192e40i 0.376457 0.290265i
\(351\) −1.88747e40 2.51092e40i −0.355604 0.473063i
\(352\) −4.55867e39 7.89585e39i −0.0820645 0.142140i
\(353\) 3.06553e40 + 1.76989e40i 0.527365 + 0.304474i 0.739943 0.672670i \(-0.234853\pi\)
−0.212578 + 0.977144i \(0.568186\pi\)
\(354\) −6.61118e40 2.10853e40i −1.08699 0.346678i
\(355\) −9.96604e39 1.72617e40i −0.156628 0.271287i
\(356\) 5.37243e40i 0.807180i
\(357\) −6.95749e38 + 3.92362e39i −0.00999450 + 0.0563631i
\(358\) 8.49676e39 0.116715
\(359\) −3.87478e40 + 2.23711e40i −0.509022 + 0.293884i −0.732431 0.680841i \(-0.761615\pi\)
0.223410 + 0.974725i \(0.428281\pi\)
\(360\) 8.57560e39 9.10864e40i 0.107752 1.14449i
\(361\) −6.86778e40 + 1.18954e41i −0.825470 + 1.42976i
\(362\) 1.13252e41 6.53858e40i 1.30229 0.751876i
\(363\) −1.78053e40 8.15889e40i −0.195905 0.897687i
\(364\) −1.00846e41 + 1.35164e40i −1.06179 + 0.142312i
\(365\) 4.41261e40i 0.444641i
\(366\) 1.24076e40 + 1.36307e40i 0.119672 + 0.131468i
\(367\) −6.36003e40 + 1.10159e41i −0.587222 + 1.01710i 0.407372 + 0.913262i \(0.366445\pi\)
−0.994594 + 0.103836i \(0.966888\pi\)
\(368\) −3.07614e40 1.77601e40i −0.271920 0.156993i
\(369\) 9.77117e40 1.37603e41i 0.827036 1.16468i
\(370\) 1.38596e41 1.12337
\(371\) 7.25699e39 + 5.41445e40i 0.0563344 + 0.420312i
\(372\) 5.90029e40 + 2.70367e41i 0.438719 + 2.01033i
\(373\) 1.19268e41 + 2.06578e41i 0.849536 + 1.47144i 0.881623 + 0.471955i \(0.156452\pi\)
−0.0320861 + 0.999485i \(0.510215\pi\)
\(374\) −3.46975e39 2.00326e39i −0.0236784 0.0136707i
\(375\) 5.04860e40 1.58297e41i 0.330119 1.03507i
\(376\) 1.51460e41 + 2.62336e41i 0.949054 + 1.64381i
\(377\) 3.62624e40i 0.217768i
\(378\) −7.32438e40 2.81869e41i −0.421601 1.62247i
\(379\) 8.45835e40 0.466722 0.233361 0.972390i \(-0.425028\pi\)
0.233361 + 0.972390i \(0.425028\pi\)
\(380\) −4.08389e41 + 2.35784e41i −2.16041 + 1.24731i
\(381\) 1.84925e41 + 5.89788e40i 0.937986 + 0.299155i
\(382\) 1.07601e41 1.86370e41i 0.523362 0.906490i
\(383\) 1.05893e41 6.11372e40i 0.493954 0.285184i −0.232260 0.972654i \(-0.574612\pi\)
0.726213 + 0.687470i \(0.241279\pi\)
\(384\) −3.98490e41 + 8.69634e40i −1.78286 + 0.389078i
\(385\) −3.43133e40 4.45023e40i −0.147262 0.190990i
\(386\) 2.23003e41i 0.918151i
\(387\) 7.95201e40 + 5.64669e40i 0.314124 + 0.223058i
\(388\) 2.99609e41 5.18938e41i 1.13566 1.96701i
\(389\) −4.39387e41 2.53680e41i −1.59828 0.922769i −0.991818 0.127660i \(-0.959254\pi\)
−0.606465 0.795110i \(-0.707413\pi\)
\(390\) −1.77874e41 + 1.61914e41i −0.620981 + 0.565263i
\(391\) 1.14963e40 0.0385240
\(392\) −4.08322e41 1.07367e41i −1.31349 0.345378i
\(393\) −1.30881e41 + 2.85625e40i −0.404200 + 0.0882095i
\(394\) 3.23308e41 + 5.59986e41i 0.958687 + 1.66049i
\(395\) −4.49519e41 2.59530e41i −1.27995 0.738982i
\(396\) 1.87786e41 + 1.76797e40i 0.513501 + 0.0483451i
\(397\) 3.49385e41 + 6.05153e41i 0.917607 + 1.58934i 0.803040 + 0.595926i \(0.203215\pi\)
0.114567 + 0.993416i \(0.463452\pi\)
\(398\) 7.57298e41i 1.91046i
\(399\) −4.32348e41 + 5.14242e41i −1.04777 + 1.24624i
\(400\) 5.68225e40 0.132300
\(401\) 3.72085e41 2.14823e41i 0.832399 0.480586i −0.0222741 0.999752i \(-0.507091\pi\)
0.854674 + 0.519166i \(0.173757\pi\)
\(402\) 3.18970e40 1.00012e41i 0.0685698 0.214997i
\(403\) 1.62812e41 2.81998e41i 0.336361 0.582594i
\(404\) 1.04991e42 6.06163e41i 2.08472 1.20362i
\(405\) −3.35925e41 2.89521e41i −0.641153 0.552586i
\(406\) −1.27931e41 + 3.10904e41i −0.234724 + 0.570441i
\(407\) 1.27884e41i 0.225583i
\(408\) −3.38973e40 + 3.08558e40i −0.0574913 + 0.0523328i
\(409\) 2.34907e41 4.06870e41i 0.383109 0.663564i −0.608396 0.793634i \(-0.708187\pi\)
0.991505 + 0.130069i \(0.0415200\pi\)
\(410\) −1.11916e42 6.46145e41i −1.75529 1.01342i
\(411\) −7.06322e40 7.75944e40i −0.106545 0.117047i
\(412\) −1.88808e42 −2.73946
\(413\) 6.47787e40 + 4.83315e41i 0.0904131 + 0.674574i
\(414\) −7.63812e41 + 3.50048e41i −1.02561 + 0.470027i
\(415\) −6.22474e41 1.07816e42i −0.804176 1.39287i
\(416\) 2.37496e41 + 1.37118e41i 0.295232 + 0.170452i
\(417\) 1.03861e42 + 3.31247e41i 1.24244 + 0.396255i
\(418\) −3.37750e41 5.84999e41i −0.388843 0.673496i
\(419\) 8.08944e41i 0.896384i 0.893937 + 0.448192i \(0.147932\pi\)
−0.893937 + 0.448192i \(0.852068\pi\)
\(420\) −1.35031e42 + 4.89995e41i −1.44027 + 0.522641i
\(421\) −3.52352e40 −0.0361795 −0.0180898 0.999836i \(-0.505758\pi\)
−0.0180898 + 0.999836i \(0.505758\pi\)
\(422\) −4.72773e41 + 2.72955e41i −0.467362 + 0.269831i
\(423\) 1.46187e42 + 1.37632e41i 1.39143 + 0.131000i
\(424\) −3.14199e41 + 5.44209e41i −0.287973 + 0.498783i
\(425\) −1.59270e40 + 9.19546e39i −0.0140576 + 0.00811616i
\(426\) −1.55614e41 7.13065e41i −0.132280 0.606144i
\(427\) 4.92879e40 1.19782e41i 0.0403548 0.0980724i
\(428\) 3.99043e41i 0.314716i
\(429\) −1.49401e41 1.64127e41i −0.113510 0.124699i
\(430\) 3.73403e41 6.46752e41i 0.273327 0.473416i
\(431\) −2.03721e42 1.17618e42i −1.43681 0.829543i −0.439184 0.898397i \(-0.644732\pi\)
−0.997627 + 0.0688542i \(0.978066\pi\)
\(432\) 2.68981e41 6.31605e41i 0.182802 0.429245i
\(433\) 2.99971e42 1.96459 0.982296 0.187333i \(-0.0599844\pi\)
0.982296 + 0.187333i \(0.0599844\pi\)
\(434\) 2.39077e42 1.84340e42i 1.50905 1.16354i
\(435\) 1.09154e41 + 5.00174e41i 0.0664068 + 0.304294i
\(436\) 2.04843e42 + 3.54799e42i 1.20126 + 2.08065i
\(437\) 1.67860e42 + 9.69139e41i 0.948951 + 0.547877i
\(438\) −4.90953e41 + 1.53936e42i −0.267580 + 0.838986i
\(439\) −1.17499e42 2.03514e42i −0.617451 1.06946i −0.989949 0.141423i \(-0.954832\pi\)
0.372499 0.928033i \(-0.378501\pi\)
\(440\) 6.46413e41i 0.327542i
\(441\) −1.57027e42 + 1.31245e42i −0.767285 + 0.641306i
\(442\) 1.20511e41 0.0567896
\(443\) 4.02839e41 2.32579e41i 0.183093 0.105709i −0.405652 0.914028i \(-0.632955\pi\)
0.588745 + 0.808319i \(0.299622\pi\)
\(444\) 3.11445e42 + 9.93300e41i 1.36538 + 0.435465i
\(445\) 4.46239e41 7.72908e41i 0.188715 0.326865i
\(446\) −2.59758e41 + 1.49971e41i −0.105977 + 0.0611857i
\(447\) 4.39643e42 9.59444e41i 1.73053 0.377659i
\(448\) 2.30258e42 + 2.98630e42i 0.874512 + 1.13419i
\(449\) 4.21213e42i 1.54369i −0.635810 0.771845i \(-0.719334\pi\)
0.635810 0.771845i \(-0.280666\pi\)
\(450\) 7.78195e41 1.09590e42i 0.275225 0.387589i
\(451\) 5.96208e41 1.03266e42i 0.203504 0.352479i
\(452\) 4.23114e42 + 2.44285e42i 1.39394 + 0.804789i
\(453\) −3.12135e42 + 2.84128e42i −0.992592 + 0.903531i
\(454\) 6.94248e42 2.13118
\(455\) 1.56310e42 + 6.43185e41i 0.463239 + 0.190613i
\(456\) −7.55054e42 + 1.64777e42i −2.16043 + 0.471476i
\(457\) 1.93465e42 + 3.35091e42i 0.534494 + 0.925771i 0.999188 + 0.0402995i \(0.0128312\pi\)
−0.464693 + 0.885472i \(0.653835\pi\)
\(458\) −2.26976e42 1.31045e42i −0.605526 0.349601i
\(459\) 2.68175e40 + 2.20564e41i 0.00690901 + 0.0568239i
\(460\) 2.07212e42 + 3.58901e42i 0.515572 + 0.892996i
\(461\) 3.04122e42i 0.730857i 0.930839 + 0.365429i \(0.119078\pi\)
−0.930839 + 0.365429i \(0.880922\pi\)
\(462\) −7.01896e41 1.93426e42i −0.162930 0.448996i
\(463\) 3.11184e42 0.697785 0.348892 0.937163i \(-0.386558\pi\)
0.348892 + 0.937163i \(0.386558\pi\)
\(464\) −6.86318e41 + 3.96246e41i −0.148675 + 0.0858375i
\(465\) 1.39685e42 4.37974e42i 0.292349 0.916645i
\(466\) −3.87165e42 + 6.70589e42i −0.782927 + 1.35607i
\(467\) −2.81363e42 + 1.62445e42i −0.549790 + 0.317421i −0.749037 0.662528i \(-0.769484\pi\)
0.199247 + 0.979949i \(0.436150\pi\)
\(468\) −5.15751e42 + 2.36364e42i −0.973882 + 0.446322i
\(469\) −7.31141e41 + 9.79948e40i −0.133425 + 0.0178829i
\(470\) 1.12434e43i 1.98304i
\(471\) 5.30295e42 4.82714e42i 0.904030 0.822915i
\(472\) −2.80467e42 + 4.85782e42i −0.462178 + 0.800516i
\(473\) 5.96769e41 + 3.44545e41i 0.0950666 + 0.0548867i
\(474\) −1.27941e43 1.40552e43i −1.97041 2.16463i
\(475\) −3.10071e42 −0.461703
\(476\) 6.65554e41 + 2.73861e41i 0.0958235 + 0.0394293i
\(477\) 1.26904e42 + 2.76907e42i 0.176678 + 0.385514i
\(478\) 8.71904e42 + 1.51018e43i 1.17388 + 2.03321i
\(479\) 9.89141e42 + 5.71081e42i 1.28792 + 0.743583i 0.978284 0.207271i \(-0.0664581\pi\)
0.309640 + 0.950854i \(0.399791\pi\)
\(480\) 3.68857e42 + 1.17641e42i 0.464514 + 0.148149i
\(481\) −1.92329e42 3.33124e42i −0.234274 0.405774i
\(482\) 2.03461e43i 2.39733i
\(483\) 4.51927e42 + 3.79957e42i 0.515127 + 0.433092i
\(484\) −1.50825e43 −1.66321
\(485\) −8.62069e42 + 4.97716e42i −0.919760 + 0.531023i
\(486\) −8.49764e42 1.38376e43i −0.877239 1.42850i
\(487\) 7.45946e42 1.29202e43i 0.745151 1.29064i −0.204973 0.978768i \(-0.565711\pi\)
0.950124 0.311872i \(-0.100956\pi\)
\(488\) 1.29034e42 7.44977e41i 0.124735 0.0720155i
\(489\) −3.43831e42 1.57552e43i −0.321664 1.47395i
\(490\) 1.11326e43 + 1.10290e43i 1.00799 + 0.998617i
\(491\) 7.58091e42i 0.664381i −0.943212 0.332191i \(-0.892212\pi\)
0.943212 0.332191i \(-0.107788\pi\)
\(492\) −2.05182e43 2.25407e43i −1.74060 1.91217i
\(493\) 1.28247e41 2.22131e41i 0.0105317 0.0182414i
\(494\) 1.75960e43 + 1.01590e43i 1.39888 + 0.807646i
\(495\) −2.55476e42 1.81412e42i −0.196637 0.139632i
\(496\) 7.11630e42 0.530332
\(497\) −4.06163e42 + 3.13171e42i −0.293088 + 0.225984i
\(498\) −9.71957e42 4.45377e43i −0.679169 3.11213i
\(499\) 3.82082e42 + 6.61786e42i 0.258552 + 0.447826i 0.965854 0.259086i \(-0.0834213\pi\)
−0.707302 + 0.706911i \(0.750088\pi\)
\(500\) −2.59882e43 1.50043e43i −1.70317 0.983323i
\(501\) 1.54498e41 4.84422e41i 0.00980665 0.0307483i
\(502\) −6.29567e42 1.09044e43i −0.387064 0.670414i
\(503\) 1.19844e43i 0.713723i 0.934157 + 0.356862i \(0.116153\pi\)
−0.934157 + 0.356862i \(0.883847\pi\)
\(504\) −2.35231e43 + 9.26459e41i −1.35708 + 0.0534488i
\(505\) −2.01394e43 −1.12560
\(506\) −5.14110e42 + 2.96822e42i −0.278386 + 0.160726i
\(507\) −1.17989e43 3.76307e42i −0.619035 0.197431i
\(508\) 1.75283e43 3.03600e43i 0.891089 1.54341i
\(509\) −2.24430e43 + 1.29575e43i −1.10560 + 0.638317i −0.937685 0.347485i \(-0.887036\pi\)
−0.167912 + 0.985802i \(0.553702\pi\)
\(510\) 1.66223e42 3.62752e41i 0.0793538 0.0173176i
\(511\) 1.12536e43 1.50832e42i 0.520664 0.0697845i
\(512\) 2.01239e43i 0.902385i
\(513\) −1.46778e43 + 3.44656e43i −0.637946 + 1.49799i
\(514\) 2.01219e43 3.48522e43i 0.847733 1.46832i
\(515\) 2.71631e43 + 1.56826e43i 1.10934 + 0.640475i
\(516\) 1.30261e43 1.18573e43i 0.515727 0.469453i
\(517\) 1.03744e43 0.398213
\(518\) −4.73748e42 3.53464e43i −0.176308 1.31543i
\(519\) −5.20652e43 + 1.13623e43i −1.87875 + 0.410005i
\(520\) 9.72161e42 + 1.68383e43i 0.340161 + 0.589176i
\(521\) −4.01693e42 2.31917e42i −0.136298 0.0786918i 0.430300 0.902686i \(-0.358408\pi\)
−0.566599 + 0.823994i \(0.691741\pi\)
\(522\) −1.75711e42 + 1.86633e43i −0.0578190 + 0.614129i
\(523\) 1.80645e42 + 3.12886e42i 0.0576500 + 0.0998527i 0.893410 0.449242i \(-0.148306\pi\)
−0.835760 + 0.549095i \(0.814973\pi\)
\(524\) 2.41947e43i 0.748891i
\(525\) −9.30013e42 1.64913e42i −0.279216 0.0495115i
\(526\) −3.23265e43 −0.941426
\(527\) −1.99466e42 + 1.15162e42i −0.0563506 + 0.0325340i
\(528\) 1.47381e42 4.62107e42i 0.0403924 0.126648i
\(529\) −1.02875e43 + 1.78184e43i −0.273538 + 0.473781i
\(530\) 2.01993e43 1.16620e43i 0.521101 0.300858i
\(531\) 1.13280e43 + 2.47178e43i 0.283556 + 0.618725i
\(532\) 7.40921e43 + 9.60931e43i 1.79964 + 2.33403i
\(533\) 3.58662e43i 0.845376i
\(534\) 2.41667e43 2.19984e43i 0.552787 0.503188i
\(535\) 3.31449e42 5.74086e42i 0.0735793 0.127443i
\(536\) −7.34874e42 4.24279e42i −0.158335 0.0914146i
\(537\) −2.24109e42 2.46200e42i −0.0468675 0.0514872i
\(538\) 1.44570e44 2.93468
\(539\) −1.01766e43 + 1.02722e43i −0.200532 + 0.202415i
\(540\) −6.40237e43 + 4.81269e43i −1.22473 + 0.920636i
\(541\) 2.85248e43 + 4.94064e43i 0.529744 + 0.917544i 0.999398 + 0.0346930i \(0.0110453\pi\)
−0.469654 + 0.882851i \(0.655621\pi\)
\(542\) 2.50520e43 + 1.44638e43i 0.451703 + 0.260791i
\(543\) −4.88171e43 1.55694e43i −0.854623 0.272568i
\(544\) −9.69880e41 1.67988e42i −0.0164868 0.0285559i
\(545\) 6.80580e43i 1.12340i
\(546\) 4.73735e43 + 3.98291e43i 0.759369 + 0.638437i
\(547\) −9.06060e43 −1.41046 −0.705229 0.708980i \(-0.749156\pi\)
−0.705229 + 0.708980i \(0.749156\pi\)
\(548\) −1.64119e43 + 9.47544e42i −0.248125 + 0.143255i
\(549\) 6.76963e41 7.19041e42i 0.00994048 0.105584i
\(550\) 4.74832e42 8.22433e42i 0.0677231 0.117300i
\(551\) 3.74512e43 2.16225e43i 0.518848 0.299557i
\(552\) 1.44810e43 + 6.63557e43i 0.194882 + 0.893004i
\(553\) −5.08231e43 + 1.23513e44i −0.664445 + 1.61477i
\(554\) 9.26107e43i 1.17626i
\(555\) −3.65558e43 4.01591e43i −0.451095 0.495560i
\(556\) 9.84456e43 1.70513e44i 1.18032 2.04437i
\(557\) −6.64651e43 3.83737e43i −0.774303 0.447044i 0.0601046 0.998192i \(-0.480857\pi\)
−0.834407 + 0.551148i \(0.814190\pi\)
\(558\) 9.74592e43 1.37248e44i 1.10325 1.55367i
\(559\) −2.07268e43 −0.228005
\(560\) 4.90713e42 + 3.66122e43i 0.0524589 + 0.391397i
\(561\) 3.34717e41 + 1.53376e42i 0.00347754 + 0.0159350i
\(562\) −2.46920e43 4.27678e43i −0.249331 0.431853i
\(563\) 1.46273e43 + 8.44507e42i 0.143559 + 0.0828837i 0.570059 0.821604i \(-0.306920\pi\)
−0.426500 + 0.904487i \(0.640254\pi\)
\(564\) 8.05801e43 2.52655e44i 0.768709 2.41025i
\(565\) −4.05811e43 7.02886e43i −0.376313 0.651793i
\(566\) 1.31942e44i 1.18938i
\(567\) −6.23548e43 + 9.55682e43i −0.546438 + 0.837499i
\(568\) −5.89969e43 −0.502639
\(569\) 1.67870e44 9.69199e43i 1.39052 0.802818i 0.397148 0.917755i \(-0.370000\pi\)
0.993373 + 0.114937i \(0.0366666\pi\)
\(570\) 2.73285e44 + 8.71596e43i 2.20099 + 0.701968i
\(571\) 1.40789e43 2.43853e43i 0.110253 0.190964i −0.805619 0.592434i \(-0.798167\pi\)
0.915872 + 0.401470i \(0.131501\pi\)
\(572\) −3.47144e43 + 2.00424e43i −0.264346 + 0.152620i
\(573\) −8.23829e43 + 1.79786e43i −0.610046 + 0.133132i
\(574\) −1.26533e44 + 3.07508e44i −0.911200 + 2.21445i
\(575\) 2.72497e43i 0.190843i
\(576\) 1.71436e44 + 1.21736e44i 1.16773 + 0.829199i
\(577\) −4.85042e43 + 8.40118e43i −0.321341 + 0.556580i −0.980765 0.195192i \(-0.937467\pi\)
0.659424 + 0.751772i \(0.270800\pi\)
\(578\) 2.24552e44 + 1.29645e44i 1.44701 + 0.835432i
\(579\) 6.46168e43 5.88190e43i 0.405031 0.368689i
\(580\) 9.24621e43 0.563788
\(581\) −2.53688e44 + 1.95605e44i −1.50481 + 1.16028i
\(582\) −3.56114e44 + 7.77155e43i −2.05504 + 0.448477i
\(583\) 1.07608e43 + 1.86382e43i 0.0604152 + 0.104642i
\(584\) 1.13110e44 + 6.53044e43i 0.617870 + 0.356728i
\(585\) 9.38315e43 + 8.83405e42i 0.498718 + 0.0469533i
\(586\) 2.06095e43 + 3.56966e43i 0.106587 + 0.184614i
\(587\) 3.43727e43i 0.172983i 0.996253 + 0.0864917i \(0.0275656\pi\)
−0.996253 + 0.0864917i \(0.972434\pi\)
\(588\) 1.71121e44 + 3.27624e44i 0.838043 + 1.60449i
\(589\) −3.88325e44 −1.85076
\(590\) 1.80307e44 1.04100e44i 0.836333 0.482857i
\(591\) 7.69847e43 2.41382e44i 0.347540 1.08970i
\(592\) 4.20323e43 7.28021e43i 0.184687 0.319887i
\(593\) −5.42301e43 + 3.13098e43i −0.231934 + 0.133907i −0.611464 0.791272i \(-0.709419\pi\)
0.379530 + 0.925180i \(0.376086\pi\)
\(594\) −6.89397e43 9.17111e43i −0.287003 0.381803i
\(595\) −7.30032e42 9.46808e42i −0.0295849 0.0383699i
\(596\) 8.12723e44i 3.20629i
\(597\) −2.19433e44 + 1.99744e44i −0.842776 + 0.767157i
\(598\) 8.92798e43 1.54637e44i 0.333837 0.578222i
\(599\) −2.90368e44 1.67644e44i −1.05711 0.610322i −0.132478 0.991186i \(-0.542293\pi\)
−0.924631 + 0.380864i \(0.875627\pi\)
\(600\) −7.31373e43 8.03465e43i −0.259250 0.284805i
\(601\) 2.73926e44 0.945456 0.472728 0.881208i \(-0.343269\pi\)
0.472728 + 0.881208i \(0.343269\pi\)
\(602\) −1.77707e44 7.31226e43i −0.597255 0.245758i
\(603\) −3.73922e43 + 1.71365e43i −0.122378 + 0.0560848i
\(604\) 3.81163e44 + 6.60194e44i 1.21484 + 2.10417i
\(605\) 2.16986e44 + 1.25277e44i 0.673512 + 0.388852i
\(606\) −7.02572e44 2.24074e44i −2.12388 0.677375i
\(607\) −2.13451e44 3.69708e44i −0.628463 1.08853i −0.987860 0.155345i \(-0.950351\pi\)
0.359398 0.933185i \(-0.382982\pi\)
\(608\) 3.27043e44i 0.937881i
\(609\) 1.23830e44 4.49349e43i 0.345898 0.125518i
\(610\) −5.53022e43 −0.150475
\(611\) −2.70242e44 + 1.56024e44i −0.716297 + 0.413554i
\(612\) 3.99525e43 + 3.76145e42i 0.103162 + 0.00971253i
\(613\) 5.48037e43 9.49228e43i 0.137861 0.238783i −0.788826 0.614617i \(-0.789311\pi\)
0.926687 + 0.375834i \(0.122644\pi\)
\(614\) 2.43202e44 1.40413e44i 0.596037 0.344122i
\(615\) 1.07962e44 + 4.94710e44i 0.257791 + 1.18127i
\(616\) −1.64857e44 + 2.20957e43i −0.383544 + 0.0514064i
\(617\) 8.15007e44i 1.84756i 0.382922 + 0.923781i \(0.374918\pi\)
−0.382922 + 0.923781i \(0.625082\pi\)
\(618\) 7.73109e44 + 8.49315e44i 1.70775 + 1.87609i
\(619\) 2.20228e44 3.81446e44i 0.474048 0.821075i −0.525511 0.850787i \(-0.676126\pi\)
0.999558 + 0.0297121i \(0.00945906\pi\)
\(620\) −7.19042e44 4.15139e44i −1.50830 0.870816i
\(621\) 3.02891e44 + 1.28992e44i 0.619186 + 0.263692i
\(622\) 4.01688e44 0.800282
\(623\) −2.12370e44 8.73859e43i −0.412368 0.169681i
\(624\) 3.11066e43 + 1.42539e44i 0.0588706 + 0.269761i
\(625\) 1.72392e44 + 2.98592e44i 0.318008 + 0.550806i
\(626\) −6.82058e43 3.93786e43i −0.122640 0.0708062i
\(627\) −8.04235e43 + 2.52164e44i −0.140962 + 0.441980i
\(628\) −6.47569e44 1.12162e45i −1.10645 1.91643i
\(629\) 2.72080e43i 0.0453197i
\(630\) 7.73322e44 + 4.06771e44i 1.25577 + 0.660543i
\(631\) −1.52434e44 −0.241331 −0.120666 0.992693i \(-0.538503\pi\)
−0.120666 + 0.992693i \(0.538503\pi\)
\(632\) −1.33053e45 + 7.68182e44i −2.05377 + 1.18574i
\(633\) 2.03789e44 + 6.49950e43i 0.306705 + 0.0978184i
\(634\) 8.77696e43 1.52021e44i 0.128800 0.223088i
\(635\) −5.04345e44 + 2.91184e44i −0.721686 + 0.416666i
\(636\) 5.37488e44 1.17297e44i 0.749989 0.163672i
\(637\) 1.10603e44 4.20628e44i 0.150500 0.572357i
\(638\) 1.32448e44i 0.175758i
\(639\) −1.65571e44 + 2.33168e44i −0.214275 + 0.301755i
\(640\) 6.11866e44 1.05978e45i 0.772284 1.33763i
\(641\) 1.37799e45 + 7.95585e44i 1.69636 + 0.979396i 0.949157 + 0.314804i \(0.101939\pi\)
0.747207 + 0.664592i \(0.231394\pi\)
\(642\) 1.79501e44 1.63395e44i 0.215529 0.196191i
\(643\) 1.51731e44 0.177704 0.0888521 0.996045i \(-0.471680\pi\)
0.0888521 + 0.996045i \(0.471680\pi\)
\(644\) 8.44487e44 6.51138e44i 0.964759 0.743873i
\(645\) −2.85889e44 + 6.23904e43i −0.318598 + 0.0695284i
\(646\) −7.18579e43 1.24462e44i −0.0781186 0.135305i
\(647\) −3.85553e44 2.22599e44i −0.408899 0.236078i 0.281418 0.959585i \(-0.409195\pi\)
−0.690317 + 0.723508i \(0.742529\pi\)
\(648\) −1.23929e45 + 4.32615e44i −1.28226 + 0.447611i
\(649\) 9.60547e43 + 1.66372e44i 0.0969625 + 0.167944i
\(650\) 2.85646e44i 0.281329i
\(651\) −1.16472e45 2.06533e44i −1.11925 0.198469i
\(652\) −2.91251e45 −2.73090
\(653\) −5.52564e44 + 3.19023e44i −0.505558 + 0.291884i −0.731006 0.682371i \(-0.760949\pi\)
0.225448 + 0.974255i \(0.427616\pi\)
\(654\) 7.57222e44 2.37423e45i 0.676051 2.11973i
\(655\) 2.00963e44 3.48078e44i 0.175088 0.303261i
\(656\) −6.78820e44 + 3.91917e44i −0.577156 + 0.333221i
\(657\) 5.75534e44 2.63762e44i 0.477557 0.218860i
\(658\) −2.86743e45 + 3.84321e44i −2.32208 + 0.311229i
\(659\) 4.38908e43i 0.0346902i 0.999850 + 0.0173451i \(0.00552140\pi\)
−0.999850 + 0.0173451i \(0.994479\pi\)
\(660\) −4.18493e44 + 3.80943e44i −0.322838 + 0.293871i
\(661\) 4.37082e44 7.57048e44i 0.329109 0.570033i −0.653227 0.757163i \(-0.726585\pi\)
0.982335 + 0.187130i \(0.0599184\pi\)
\(662\) 2.11540e45 + 1.22133e45i 1.55476 + 0.897643i
\(663\) −3.17857e43 3.49188e43i −0.0228042 0.0250521i
\(664\) −3.68492e45 −2.58070
\(665\) −2.67774e44 1.99787e45i −0.183072 1.36590i
\(666\) −8.28450e44 1.80769e45i −0.552941 1.20653i
\(667\) −1.90023e44 3.29129e44i −0.123821 0.214463i
\(668\) −7.95298e43 4.59165e43i −0.0505948 0.0292109i
\(669\) 1.11969e44 + 3.57105e43i 0.0695470 + 0.0221808i
\(670\) 1.57479e44 + 2.72761e44i 0.0955047 + 0.165419i
\(671\) 5.10283e43i 0.0302169i
\(672\) 1.73940e44 9.80919e44i 0.100575 0.567185i
\(673\) 1.10974e45 0.626585 0.313293 0.949657i \(-0.398568\pi\)
0.313293 + 0.949657i \(0.398568\pi\)
\(674\) 3.69875e45 2.13548e45i 2.03937 1.17743i
\(675\) −5.22801e44 + 6.35655e43i −0.281499 + 0.0342264i
\(676\) −1.11838e45 + 1.93708e45i −0.588086 + 1.01859i
\(677\) −3.09548e45 + 1.78718e45i −1.58968 + 0.917802i −0.596321 + 0.802746i \(0.703371\pi\)
−0.993359 + 0.115056i \(0.963295\pi\)
\(678\) −6.33651e44 2.90356e45i −0.317816 1.45632i
\(679\) 1.56401e45 + 2.02843e45i 0.766167 + 0.993673i
\(680\) 1.37528e44i 0.0658033i
\(681\) −1.83114e45 2.01163e45i −0.855790 0.940145i
\(682\) 5.94668e44 1.03000e45i 0.271472 0.470203i
\(683\) 3.80680e45 + 2.19786e45i 1.69757 + 0.980094i 0.948053 + 0.318113i \(0.103049\pi\)
0.749520 + 0.661982i \(0.230284\pi\)
\(684\) 5.51644e45 + 3.91721e45i 2.40304 + 1.70639i
\(685\) 3.14816e44 0.133970
\(686\) 2.43222e45 3.21616e45i 1.01116 1.33706i
\(687\) 2.18958e44 + 1.00332e45i 0.0889308 + 0.407505i
\(688\) −2.26486e44 3.92286e44i −0.0898725 0.155664i
\(689\) −5.60610e44 3.23669e44i −0.217347 0.125485i
\(690\) 7.65977e44 2.40168e45i 0.290155 0.909768i
\(691\) −1.80522e45 3.12673e45i −0.668162 1.15729i −0.978418 0.206637i \(-0.933748\pi\)
0.310256 0.950653i \(-0.399585\pi\)
\(692\) 9.62476e45i 3.48091i
\(693\) −3.75334e44 + 7.13557e44i −0.132644 + 0.252172i
\(694\) 7.64959e45 2.64172
\(695\) −2.83259e45 + 1.63540e45i −0.955932 + 0.551908i
\(696\) 1.44366e45 + 4.60432e44i 0.476121 + 0.151851i
\(697\) 1.26846e44 2.19704e44i 0.0408840 0.0708131i
\(698\) 4.42124e45 2.55261e45i 1.39270 0.804076i
\(699\) 2.96426e45 6.46898e44i 0.912603 0.199160i
\(700\) −6.49132e44 + 1.57756e45i −0.195328 + 0.474697i
\(701\) 1.71214e45i 0.503560i 0.967785 + 0.251780i \(0.0810159\pi\)
−0.967785 + 0.251780i \(0.918984\pi\)
\(702\) 3.17507e45 + 1.35216e45i 0.912766 + 0.388718i
\(703\) −2.29363e45 + 3.97269e45i −0.644523 + 1.11635i
\(704\) 1.28656e45 + 7.42797e44i 0.353401 + 0.204036i
\(705\) −3.25785e45 + 2.96553e45i −0.874792 + 0.796301i
\(706\) −3.88886e45 −1.02081
\(707\) 6.88405e44 + 5.13620e45i 0.176658 + 1.31805i
\(708\) 4.79783e45 1.04704e45i 1.20368 0.262683i
\(709\) 3.65026e45 + 6.32244e45i 0.895332 + 1.55076i 0.833393 + 0.552681i \(0.186395\pi\)
0.0619399 + 0.998080i \(0.480271\pi\)
\(710\) 1.89640e45 + 1.09489e45i 0.454774 + 0.262564i
\(711\) −6.98049e44 + 7.41438e45i −0.163671 + 1.73845i
\(712\) −1.32082e45 2.28773e45i −0.302806 0.524475i
\(713\) 3.41268e45i 0.765003i
\(714\) −1.49332e44 4.11523e44i −0.0327327 0.0902033i
\(715\) 6.65895e44 0.142728
\(716\) −5.20736e44 + 3.00647e44i −0.109146 + 0.0630156i
\(717\) 2.07614e45 6.50964e45i 0.425550 1.33429i
\(718\) 2.45772e45 4.25690e45i 0.492654 0.853302i
\(719\) −2.35245e45 + 1.35819e45i −0.461166 + 0.266255i −0.712535 0.701637i \(-0.752453\pi\)
0.251368 + 0.967892i \(0.419120\pi\)
\(720\) 8.58118e44 + 1.87243e45i 0.164523 + 0.358993i
\(721\) 3.07109e45 7.46353e45i 0.575875 1.39952i
\(722\) 1.50901e46i 2.76756i
\(723\) 5.89543e45 5.36646e45i 1.05755 0.962664i
\(724\) −4.62718e45 + 8.01452e45i −0.811895 + 1.40624i
\(725\) 5.26516e44 + 3.03984e44i 0.0903656 + 0.0521726i
\(726\) 6.17580e45 + 6.78455e45i 1.03683 + 1.13903i
\(727\) −4.28097e45 −0.703059 −0.351530 0.936177i \(-0.614338\pi\)
−0.351530 + 0.936177i \(0.614338\pi\)
\(728\) 3.96202e45 3.05490e45i 0.636523 0.490789i
\(729\) −1.76823e45 + 6.11205e45i −0.277906 + 0.960608i
\(730\) −2.42388e45 4.19829e45i −0.372689 0.645516i
\(731\) 1.26966e44 + 7.33036e43i 0.0190989 + 0.0110267i
\(732\) −1.24272e45 3.96346e44i −0.182893 0.0583307i
\(733\) −4.85471e45 8.40861e45i −0.699037 1.21077i −0.968801 0.247841i \(-0.920279\pi\)
0.269764 0.962927i \(-0.413054\pi\)
\(734\) 1.39745e46i 1.96879i
\(735\) 2.59428e44 6.13474e45i 0.0357618 0.845665i
\(736\) −2.87413e45 −0.387669
\(737\) −2.51681e44 + 1.45308e44i −0.0332178 + 0.0191783i
\(738\) −1.73791e45 + 1.84594e46i −0.224454 + 2.38405i
\(739\) 2.28954e45 3.96560e45i 0.289359 0.501184i −0.684298 0.729203i \(-0.739891\pi\)
0.973657 + 0.228018i