Properties

Label 21.33.h.b.2.12
Level $21$
Weight $33$
Character 21.2
Analytic conductor $136.220$
Analytic rank $0$
Dimension $164$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 2.12
Character \(\chi\) \(=\) 21.2
Dual form 21.33.h.b.11.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-85963.2 - 49630.9i) q^{2} +(3.66132e7 - 2.26384e7i) q^{3} +(2.77897e9 + 4.81331e9i) q^{4} +(-1.43172e11 - 8.26606e10i) q^{5} +(-4.27095e12 + 1.28924e11i) q^{6} +(-1.23935e13 + 3.08355e13i) q^{7} -1.25364e14i q^{8} +(8.28028e14 - 1.65773e15i) q^{9} +O(q^{10})\) \(q+(-85963.2 - 49630.9i) q^{2} +(3.66132e7 - 2.26384e7i) q^{3} +(2.77897e9 + 4.81331e9i) q^{4} +(-1.43172e11 - 8.26606e10i) q^{5} +(-4.27095e12 + 1.28924e11i) q^{6} +(-1.23935e13 + 3.08355e13i) q^{7} -1.25364e14i q^{8} +(8.28028e14 - 1.65773e15i) q^{9} +(8.20504e15 + 1.42115e16i) q^{10} +(-6.66573e15 + 3.84846e15i) q^{11} +(2.10712e17 + 1.13319e17i) q^{12} +1.10624e18 q^{13} +(2.59578e18 - 2.03562e18i) q^{14} +(-7.11329e18 + 2.14724e17i) q^{15} +(5.71364e18 - 9.89631e18i) q^{16} +(5.46560e19 - 3.15556e19i) q^{17} +(-1.53454e20 + 1.01408e20i) q^{18} +(-1.84634e20 + 3.19796e20i) q^{19} -9.18844e20i q^{20} +(2.44299e20 + 1.40955e21i) q^{21} +7.64010e20 q^{22} +(-8.03818e21 - 4.64084e21i) q^{23} +(-2.83804e21 - 4.58998e21i) q^{24} +(2.02401e21 + 3.50569e21i) q^{25} +(-9.50962e22 - 5.49038e22i) q^{26} +(-7.21151e21 - 7.94398e22i) q^{27} +(-1.82862e23 + 2.60368e22i) q^{28} -3.97555e22i q^{29} +(6.22139e23 + 3.34581e23i) q^{30} +(1.02820e23 + 1.78089e23i) q^{31} +(-1.44862e24 + 8.36363e23i) q^{32} +(-1.56930e23 + 2.91806e23i) q^{33} -6.26454e24 q^{34} +(4.32329e24 - 3.39033e24i) q^{35} +(1.02802e25 - 6.21209e23i) q^{36} +(-7.13533e24 + 1.23588e25i) q^{37} +(3.17435e25 - 1.83271e25i) q^{38} +(4.05031e25 - 2.50436e25i) q^{39} +(-1.03627e25 + 1.79487e25i) q^{40} -5.56503e25i q^{41} +(4.89568e25 - 1.33295e26i) q^{42} +1.52729e26 q^{43} +(-3.70477e25 - 2.13895e25i) q^{44} +(-2.55579e26 + 1.68895e26i) q^{45} +(4.60658e26 + 7.97884e26i) q^{46} +(2.94828e26 + 1.70219e26i) q^{47} +(-1.48421e25 - 4.91683e26i) q^{48} +(-7.97228e26 - 7.64322e26i) q^{49} -4.01814e26i q^{50} +(1.28676e27 - 2.39267e27i) q^{51} +(3.07421e27 + 5.32469e27i) q^{52} +(-3.13820e27 + 1.81184e27i) q^{53} +(-3.32274e27 + 7.18681e27i) q^{54} +1.27246e27 q^{55} +(3.86566e27 + 1.55371e27i) q^{56} +(4.79617e26 + 1.58886e28i) q^{57} +(-1.97310e27 + 3.41751e27i) q^{58} +(-9.20578e27 + 5.31496e27i) q^{59} +(-2.08011e28 - 3.36418e28i) q^{60} +(-3.47653e28 + 6.02152e28i) q^{61} -2.04121e28i q^{62} +(4.08546e28 + 4.60777e28i) q^{63} +1.16958e29 q^{64} +(-1.58383e29 - 9.14427e28i) q^{65} +(2.79728e28 - 1.72959e28i) q^{66} +(-8.92098e28 - 1.54516e29i) q^{67} +(3.03774e29 + 1.75384e29i) q^{68} +(-3.99364e29 + 1.20553e28i) q^{69} +(-5.39909e29 + 7.68749e28i) q^{70} -2.81671e29i q^{71} +(-2.07819e29 - 1.03805e29i) q^{72} +(6.17460e27 + 1.06947e28i) q^{73} +(1.22675e30 - 7.08266e29i) q^{74} +(1.53469e29 + 8.25341e28i) q^{75} -2.05237e30 q^{76} +(-3.60571e28 - 2.53237e29i) q^{77} +(-4.72471e30 + 1.42621e29i) q^{78} +(-1.08833e30 + 1.88505e30i) q^{79} +(-1.63607e30 + 9.44585e29i) q^{80} +(-2.06242e30 - 2.74529e30i) q^{81} +(-2.76197e30 + 4.78388e30i) q^{82} +6.40728e30i q^{83} +(-6.10573e30 + 5.09299e30i) q^{84} -1.04336e31 q^{85} +(-1.31291e31 - 7.58008e30i) q^{86} +(-8.99999e29 - 1.45557e30i) q^{87} +(4.82459e29 + 8.35643e29i) q^{88} +(1.86317e31 + 1.07570e31i) q^{89} +(3.03528e31 - 1.83415e30i) q^{90} +(-1.37103e31 + 3.41116e31i) q^{91} -5.15870e31i q^{92} +(7.79620e30 + 4.19273e30i) q^{93} +(-1.68962e31 - 2.92651e31i) q^{94} +(5.28690e31 - 3.05240e31i) q^{95} +(-3.41048e31 + 6.34164e31i) q^{96} +3.12282e31 q^{97} +(3.05982e31 + 1.05271e32i) q^{98} +(8.60283e29 + 1.42366e31i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 164 q + 43046720 q^{3} + 176093659134 q^{4} + 3915256954876 q^{6} - 41868332499126 q^{7} + 1232720974221986 q^{9} + O(q^{10}) \) \( 164 q + 43046720 q^{3} + 176093659134 q^{4} + 3915256954876 q^{6} - 41868332499126 q^{7} + 1232720974221986 q^{9} - 653609167486978 q^{10} - 80283770812252892 q^{12} + 930128021838524592 q^{13} + 295985739739384604 q^{15} - \)\(35\!\cdots\!98\)\( q^{16} - \)\(28\!\cdots\!84\)\( q^{18} - \)\(55\!\cdots\!32\)\( q^{19} - \)\(63\!\cdots\!60\)\( q^{21} - \)\(13\!\cdots\!96\)\( q^{22} + \)\(10\!\cdots\!46\)\( q^{24} + \)\(37\!\cdots\!44\)\( q^{25} - \)\(46\!\cdots\!76\)\( q^{27} + \)\(47\!\cdots\!58\)\( q^{28} - \)\(33\!\cdots\!80\)\( q^{30} + \)\(52\!\cdots\!26\)\( q^{31} - \)\(73\!\cdots\!26\)\( q^{33} - \)\(22\!\cdots\!96\)\( q^{34} - \)\(58\!\cdots\!40\)\( q^{36} - \)\(47\!\cdots\!40\)\( q^{37} + \)\(80\!\cdots\!20\)\( q^{39} - \)\(45\!\cdots\!26\)\( q^{40} + \)\(10\!\cdots\!78\)\( q^{42} - \)\(82\!\cdots\!28\)\( q^{43} + \)\(88\!\cdots\!80\)\( q^{45} + \)\(30\!\cdots\!92\)\( q^{46} - \)\(10\!\cdots\!00\)\( q^{48} + \)\(42\!\cdots\!90\)\( q^{49} + \)\(89\!\cdots\!16\)\( q^{51} + \)\(39\!\cdots\!84\)\( q^{52} + \)\(16\!\cdots\!78\)\( q^{54} + \)\(55\!\cdots\!00\)\( q^{55} - \)\(88\!\cdots\!80\)\( q^{57} + \)\(63\!\cdots\!34\)\( q^{58} + \)\(69\!\cdots\!10\)\( q^{60} - \)\(49\!\cdots\!48\)\( q^{61} + \)\(38\!\cdots\!20\)\( q^{63} - \)\(17\!\cdots\!24\)\( q^{64} + \)\(20\!\cdots\!84\)\( q^{66} + \)\(41\!\cdots\!36\)\( q^{67} - \)\(54\!\cdots\!68\)\( q^{69} - \)\(18\!\cdots\!50\)\( q^{70} + \)\(88\!\cdots\!12\)\( q^{72} + \)\(14\!\cdots\!40\)\( q^{73} - \)\(13\!\cdots\!24\)\( q^{75} - \)\(13\!\cdots\!12\)\( q^{76} - \)\(15\!\cdots\!20\)\( q^{78} + \)\(11\!\cdots\!98\)\( q^{79} + \)\(41\!\cdots\!98\)\( q^{81} - \)\(17\!\cdots\!72\)\( q^{82} + \)\(23\!\cdots\!36\)\( q^{84} - \)\(11\!\cdots\!64\)\( q^{85} + \)\(25\!\cdots\!98\)\( q^{87} - \)\(10\!\cdots\!90\)\( q^{88} - \)\(13\!\cdots\!64\)\( q^{90} + \)\(33\!\cdots\!84\)\( q^{91} - \)\(88\!\cdots\!00\)\( q^{93} - \)\(96\!\cdots\!24\)\( q^{94} + \)\(14\!\cdots\!10\)\( q^{96} - \)\(26\!\cdots\!24\)\( q^{97} - \)\(24\!\cdots\!32\)\( q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −85963.2 49630.9i −1.31169 0.757307i −0.329318 0.944219i \(-0.606819\pi\)
−0.982377 + 0.186912i \(0.940152\pi\)
\(3\) 3.66132e7 2.26384e7i 0.850545 0.525903i
\(4\) 2.77897e9 + 4.81331e9i 0.647028 + 1.12069i
\(5\) −1.43172e11 8.26606e10i −0.938294 0.541724i −0.0488690 0.998805i \(-0.515562\pi\)
−0.889425 + 0.457081i \(0.848895\pi\)
\(6\) −4.27095e12 + 1.28924e11i −1.51392 + 0.0456998i
\(7\) −1.23935e13 + 3.08355e13i −0.372930 + 0.927860i
\(8\) 1.25364e14i 0.445383i
\(9\) 8.28028e14 1.65773e15i 0.446853 0.894607i
\(10\) 8.20504e15 + 1.42115e16i 0.820504 + 1.42115i
\(11\) −6.66573e15 + 3.84846e15i −0.145066 + 0.0837537i −0.570776 0.821106i \(-0.693358\pi\)
0.425710 + 0.904859i \(0.360024\pi\)
\(12\) 2.10712e17 + 1.13319e17i 1.13970 + 0.612920i
\(13\) 1.10624e18 1.66248 0.831241 0.555912i \(-0.187631\pi\)
0.831241 + 0.555912i \(0.187631\pi\)
\(14\) 2.59578e18 2.03562e18i 1.19184 0.934646i
\(15\) −7.11329e18 + 2.14724e17i −1.08296 + 0.0326904i
\(16\) 5.71364e18 9.89631e18i 0.309737 0.536480i
\(17\) 5.46560e19 3.15556e19i 1.12319 0.648477i 0.180980 0.983487i \(-0.442073\pi\)
0.942214 + 0.335010i \(0.108740\pi\)
\(18\) −1.53454e20 + 1.01408e20i −1.26363 + 0.835047i
\(19\) −1.84634e20 + 3.19796e20i −0.640110 + 1.10870i 0.345298 + 0.938493i \(0.387778\pi\)
−0.985408 + 0.170210i \(0.945555\pi\)
\(20\) 9.18844e20i 1.40204i
\(21\) 2.44299e20 + 1.40955e21i 0.170770 + 0.985311i
\(22\) 7.64010e20 0.253709
\(23\) −8.03818e21 4.64084e21i −1.31073 0.756748i −0.328510 0.944500i \(-0.606547\pi\)
−0.982216 + 0.187752i \(0.939880\pi\)
\(24\) −2.83804e21 4.58998e21i −0.234228 0.378818i
\(25\) 2.02401e21 + 3.50569e21i 0.0869306 + 0.150568i
\(26\) −9.50962e22 5.49038e22i −2.18067 1.25901i
\(27\) −7.21151e21 7.94398e22i −0.0904078 0.995905i
\(28\) −1.82862e23 + 2.60368e22i −1.28114 + 0.182414i
\(29\) 3.97555e22i 0.158865i −0.996840 0.0794326i \(-0.974689\pi\)
0.996840 0.0794326i \(-0.0253109\pi\)
\(30\) 6.22139e23 + 3.34581e23i 1.44526 + 0.777250i
\(31\) 1.02820e23 + 1.78089e23i 0.141348 + 0.244822i 0.928004 0.372569i \(-0.121523\pi\)
−0.786657 + 0.617391i \(0.788190\pi\)
\(32\) −1.44862e24 + 8.36363e23i −1.19827 + 0.691823i
\(33\) −1.56930e23 + 2.91806e23i −0.0793386 + 0.147527i
\(34\) −6.26454e24 −1.96438
\(35\) 4.32329e24 3.39033e24i 0.852562 0.668580i
\(36\) 1.02802e25 6.21209e23i 1.29170 0.0780544i
\(37\) −7.13533e24 + 1.23588e25i −0.578344 + 1.00172i 0.417325 + 0.908757i \(0.362968\pi\)
−0.995669 + 0.0929645i \(0.970366\pi\)
\(38\) 3.17435e25 1.83271e25i 1.67926 0.969520i
\(39\) 4.05031e25 2.50436e25i 1.41402 0.874304i
\(40\) −1.03627e25 + 1.79487e25i −0.241275 + 0.417900i
\(41\) 5.56503e25i 0.872822i −0.899747 0.436411i \(-0.856249\pi\)
0.899747 0.436411i \(-0.143751\pi\)
\(42\) 4.89568e25 1.33295e26i 0.522185 1.42175i
\(43\) 1.52729e26 1.11796 0.558980 0.829181i \(-0.311193\pi\)
0.558980 + 0.829181i \(0.311193\pi\)
\(44\) −3.70477e25 2.13895e25i −0.187723 0.108382i
\(45\) −2.55579e26 + 1.68895e26i −0.903910 + 0.597334i
\(46\) 4.60658e26 + 7.97884e26i 1.14618 + 1.98525i
\(47\) 2.94828e26 + 1.70219e26i 0.519999 + 0.300222i 0.736934 0.675964i \(-0.236273\pi\)
−0.216935 + 0.976186i \(0.569606\pi\)
\(48\) −1.48421e25 4.91683e26i −0.0186911 0.619192i
\(49\) −7.97228e26 7.64322e26i −0.721847 0.692053i
\(50\) 4.01814e26i 0.263333i
\(51\) 1.28676e27 2.39267e27i 0.614292 1.14225i
\(52\) 3.07421e27 + 5.32469e27i 1.07567 + 1.86312i
\(53\) −3.13820e27 + 1.81184e27i −0.809594 + 0.467419i −0.846815 0.531888i \(-0.821483\pi\)
0.0372210 + 0.999307i \(0.488149\pi\)
\(54\) −3.32274e27 + 7.18681e27i −0.635619 + 1.37479i
\(55\) 1.27246e27 0.181486
\(56\) 3.86566e27 + 1.55371e27i 0.413253 + 0.166097i
\(57\) 4.79617e26 + 1.58886e28i 0.0386275 + 1.27964i
\(58\) −1.97310e27 + 3.41751e27i −0.120310 + 0.208383i
\(59\) −9.20578e27 + 5.31496e27i −0.427001 + 0.246529i −0.698068 0.716031i \(-0.745957\pi\)
0.271067 + 0.962560i \(0.412623\pi\)
\(60\) −2.08011e28 3.36418e28i −0.737339 1.19250i
\(61\) −3.47653e28 + 6.02152e28i −0.945950 + 1.63843i −0.192114 + 0.981373i \(0.561534\pi\)
−0.753837 + 0.657062i \(0.771799\pi\)
\(62\) 2.04121e28i 0.428175i
\(63\) 4.08546e28 + 4.60777e28i 0.663425 + 0.748243i
\(64\) 1.16958e29 1.47622
\(65\) −1.58383e29 9.14427e28i −1.55990 0.900607i
\(66\) 2.79728e28 1.72959e28i 0.215791 0.133426i
\(67\) −8.92098e28 1.54516e29i −0.541023 0.937079i −0.998846 0.0480358i \(-0.984704\pi\)
0.457823 0.889044i \(-0.348629\pi\)
\(68\) 3.03774e29 + 1.75384e29i 1.45348 + 0.839166i
\(69\) −3.99364e29 + 1.20553e28i −1.51281 + 0.0456661i
\(70\) −5.39909e29 + 7.68749e28i −1.62462 + 0.231321i
\(71\) 2.81671e29i 0.675474i −0.941241 0.337737i \(-0.890339\pi\)
0.941241 0.337737i \(-0.109661\pi\)
\(72\) −2.07819e29 1.03805e29i −0.398443 0.199021i
\(73\) 6.17460e27 + 1.06947e28i 0.00949387 + 0.0164439i 0.870733 0.491756i \(-0.163645\pi\)
−0.861239 + 0.508199i \(0.830311\pi\)
\(74\) 1.22675e30 7.08266e29i 1.51722 0.875969i
\(75\) 1.53469e29 + 8.25341e28i 0.153123 + 0.0823480i
\(76\) −2.05237e30 −1.65668
\(77\) −3.60571e28 2.53237e29i −0.0236124 0.165835i
\(78\) −4.72471e30 + 1.42621e29i −2.51687 + 0.0759751i
\(79\) −1.08833e30 + 1.88505e30i −0.472856 + 0.819010i −0.999517 0.0310647i \(-0.990110\pi\)
0.526661 + 0.850075i \(0.323444\pi\)
\(80\) −1.63607e30 + 9.44585e29i −0.581249 + 0.335584i
\(81\) −2.06242e30 2.74529e30i −0.600645 0.799516i
\(82\) −2.76197e30 + 4.78388e30i −0.660995 + 1.14488i
\(83\) 6.40728e30i 1.26306i 0.775351 + 0.631530i \(0.217573\pi\)
−0.775351 + 0.631530i \(0.782427\pi\)
\(84\) −6.10573e30 + 5.09299e30i −0.993731 + 0.828904i
\(85\) −1.04336e31 −1.40518
\(86\) −1.31291e31 7.58008e30i −1.46642 0.846640i
\(87\) −8.99999e29 1.45557e30i −0.0835476 0.135122i
\(88\) 4.82459e29 + 8.35643e29i 0.0373024 + 0.0646097i
\(89\) 1.86317e31 + 1.07570e31i 1.20230 + 0.694148i 0.961066 0.276319i \(-0.0891145\pi\)
0.241234 + 0.970467i \(0.422448\pi\)
\(90\) 3.03528e31 1.83415e30i 1.63802 0.0989817i
\(91\) −1.37103e31 + 3.41116e31i −0.619989 + 1.54255i
\(92\) 5.15870e31i 1.95855i
\(93\) 7.79620e30 + 4.19273e30i 0.248975 + 0.133897i
\(94\) −1.68962e31 2.92651e31i −0.454720 0.787599i
\(95\) 5.28690e31 3.05240e31i 1.20122 0.693526i
\(96\) −3.41048e31 + 6.34164e31i −0.655353 + 1.21860i
\(97\) 3.12282e31 0.508392 0.254196 0.967153i \(-0.418189\pi\)
0.254196 + 0.967153i \(0.418189\pi\)
\(98\) 3.05982e31 + 1.05271e32i 0.422746 + 1.45442i
\(99\) 8.60283e29 + 1.42366e31i 0.0101036 + 0.167202i
\(100\) −1.12493e31 + 1.94844e31i −0.112493 + 0.194844i
\(101\) 1.16683e32 6.73667e31i 0.995093 0.574517i 0.0883006 0.996094i \(-0.471856\pi\)
0.906793 + 0.421576i \(0.138523\pi\)
\(102\) −2.29365e32 + 1.41819e32i −1.67080 + 1.03307i
\(103\) 3.90787e30 6.76864e30i 0.0243526 0.0421799i −0.853592 0.520942i \(-0.825581\pi\)
0.877945 + 0.478762i \(0.158914\pi\)
\(104\) 1.38683e32i 0.740441i
\(105\) 8.15378e31 2.22003e32i 0.373534 1.01702i
\(106\) 3.59693e32 1.41592
\(107\) −3.11384e32 1.79778e32i −1.05477 0.608969i −0.130786 0.991411i \(-0.541750\pi\)
−0.923980 + 0.382442i \(0.875083\pi\)
\(108\) 3.62328e32 2.55472e32i 1.05760 0.745697i
\(109\) −2.76048e32 4.78129e32i −0.695281 1.20426i −0.970086 0.242762i \(-0.921947\pi\)
0.274805 0.961500i \(-0.411387\pi\)
\(110\) −1.09385e32 6.31535e31i −0.238054 0.137440i
\(111\) 1.85352e31 + 6.14025e32i 0.0349003 + 1.15616i
\(112\) 2.34345e32 + 2.98833e32i 0.382268 + 0.487462i
\(113\) 6.36340e32i 0.900397i 0.892929 + 0.450198i \(0.148647\pi\)
−0.892929 + 0.450198i \(0.851353\pi\)
\(114\) 7.47334e32 1.38964e33i 0.918411 1.70775i
\(115\) 7.67230e32 + 1.32888e33i 0.819898 + 1.42011i
\(116\) 1.91355e32 1.10479e32i 0.178038 0.102790i
\(117\) 9.16000e32 1.83385e33i 0.742885 1.48727i
\(118\) 1.05514e33 0.746793
\(119\) 2.95652e32 + 2.07643e33i 0.182823 + 1.28400i
\(120\) 2.69187e31 + 8.91752e32i 0.0145597 + 0.482330i
\(121\) −1.02607e33 + 1.77720e33i −0.485971 + 0.841726i
\(122\) 5.97707e33 3.45086e33i 2.48160 1.43275i
\(123\) −1.25983e33 2.03753e33i −0.459019 0.742374i
\(124\) −5.71465e32 + 9.89807e32i −0.182912 + 0.316813i
\(125\) 3.17996e33i 0.895079i
\(126\) −1.22511e33 5.98864e33i −0.303562 1.48388i
\(127\) −1.20617e33 −0.263360 −0.131680 0.991292i \(-0.542037\pi\)
−0.131680 + 0.991292i \(0.542037\pi\)
\(128\) −3.83230e33 2.21258e33i −0.738073 0.426127i
\(129\) 5.59190e33 3.45754e33i 0.950876 0.587939i
\(130\) 9.07676e33 + 1.57214e34i 1.36407 + 2.36264i
\(131\) −6.77725e33 3.91285e33i −0.900975 0.520178i −0.0234585 0.999725i \(-0.507468\pi\)
−0.877516 + 0.479547i \(0.840801\pi\)
\(132\) −1.84066e33 + 5.55626e31i −0.216665 + 0.00654033i
\(133\) −7.57279e33 9.65669e33i −0.790005 1.00740i
\(134\) 1.77102e34i 1.63888i
\(135\) −5.53405e33 + 1.19697e34i −0.454677 + 0.983428i
\(136\) −3.95595e33 6.85190e33i −0.288820 0.500251i
\(137\) 1.10341e34 6.37057e33i 0.716489 0.413665i −0.0969700 0.995287i \(-0.530915\pi\)
0.813459 + 0.581622i \(0.197582\pi\)
\(138\) 3.49290e34 + 1.87845e34i 2.01892 + 1.08576i
\(139\) −2.27802e34 −1.17306 −0.586531 0.809927i \(-0.699507\pi\)
−0.586531 + 0.809927i \(0.699507\pi\)
\(140\) 2.83330e34 + 1.13877e34i 1.30090 + 0.522864i
\(141\) 1.46481e34 4.42171e32i 0.600170 0.0181169i
\(142\) −1.39796e34 + 2.42133e34i −0.511541 + 0.886015i
\(143\) −7.37391e33 + 4.25733e33i −0.241169 + 0.139239i
\(144\) −1.16743e34 1.76661e34i −0.341532 0.516821i
\(145\) −3.28621e33 + 5.69188e33i −0.0860612 + 0.149062i
\(146\) 1.22580e33i 0.0287591i
\(147\) −4.64920e34 9.93632e33i −0.977915 0.209001i
\(148\) −7.93154e34 −1.49682
\(149\) 6.19396e34 + 3.57609e34i 1.04951 + 0.605937i 0.922513 0.385965i \(-0.126132\pi\)
0.127001 + 0.991903i \(0.459465\pi\)
\(150\) −9.09641e33 1.47117e34i −0.138487 0.223976i
\(151\) −4.98899e34 8.64119e34i −0.682939 1.18288i −0.974080 0.226204i \(-0.927368\pi\)
0.291141 0.956680i \(-0.405965\pi\)
\(152\) 4.00909e34 + 2.31465e34i 0.493797 + 0.285094i
\(153\) −7.05394e33 1.16734e35i −0.0782291 1.29459i
\(154\) −9.46879e33 + 2.35586e34i −0.0946157 + 0.235406i
\(155\) 3.39966e34i 0.306287i
\(156\) 2.33099e35 + 1.25359e35i 1.89473 + 1.01897i
\(157\) 7.17908e34 + 1.24345e35i 0.526835 + 0.912505i 0.999511 + 0.0312685i \(0.00995468\pi\)
−0.472676 + 0.881236i \(0.656712\pi\)
\(158\) 1.87113e35 1.08030e35i 1.24049 0.716194i
\(159\) −7.38824e34 + 1.37381e35i −0.442779 + 0.823328i
\(160\) 2.76537e35 1.49911
\(161\) 2.42724e35 1.90345e35i 1.19097 0.933956i
\(162\) 4.10417e34 + 3.38353e35i 0.182383 + 1.50359i
\(163\) 1.42145e35 2.46203e35i 0.572441 0.991497i −0.423873 0.905722i \(-0.639330\pi\)
0.996314 0.0857758i \(-0.0273369\pi\)
\(164\) 2.67862e35 1.54650e35i 0.978160 0.564741i
\(165\) 4.65889e34 2.88065e34i 0.154362 0.0954438i
\(166\) 3.17999e35 5.50790e35i 0.956525 1.65675i
\(167\) 4.35485e35i 1.18990i 0.803764 + 0.594949i \(0.202828\pi\)
−0.803764 + 0.594949i \(0.797172\pi\)
\(168\) 1.76708e35 3.06263e34i 0.438841 0.0760581i
\(169\) 7.80995e35 1.76385
\(170\) 8.96909e35 + 5.17830e35i 1.84317 + 1.06415i
\(171\) 3.77252e35 + 5.70873e35i 0.705819 + 1.06807i
\(172\) 4.24429e35 + 7.35133e35i 0.723353 + 1.25288i
\(173\) −2.25757e35 1.30341e35i −0.350673 0.202461i 0.314308 0.949321i \(-0.398227\pi\)
−0.664982 + 0.746860i \(0.731561\pi\)
\(174\) 5.12544e33 + 1.69794e35i 0.00726011 + 0.240510i
\(175\) −1.33184e35 + 1.89634e34i −0.172125 + 0.0245080i
\(176\) 8.79548e34i 0.103766i
\(177\) −2.16731e35 + 4.03002e35i −0.233533 + 0.434245i
\(178\) −1.06776e36 1.84942e36i −1.05137 1.82102i
\(179\) −7.19999e35 + 4.15692e35i −0.648162 + 0.374216i −0.787752 0.615993i \(-0.788755\pi\)
0.139590 + 0.990209i \(0.455422\pi\)
\(180\) −1.52319e36 7.60828e35i −1.25428 0.626508i
\(181\) −7.18365e35 −0.541362 −0.270681 0.962669i \(-0.587249\pi\)
−0.270681 + 0.962669i \(0.587249\pi\)
\(182\) 2.87157e36 2.25189e36i 1.98142 1.55383i
\(183\) 9.03083e34 + 2.99170e36i 0.0570835 + 1.89104i
\(184\) −5.81795e35 + 1.00770e36i −0.337043 + 0.583775i
\(185\) 2.04316e36 1.17962e36i 1.08531 0.626606i
\(186\) −4.62098e35 7.47353e35i −0.225178 0.364182i
\(187\) −2.42881e35 + 4.20683e35i −0.108625 + 0.188143i
\(188\) 1.89213e36i 0.777008i
\(189\) 2.53894e36 + 7.62171e35i 0.957776 + 0.287517i
\(190\) −6.05972e36 −2.10085
\(191\) 2.48027e35 + 1.43198e35i 0.0790614 + 0.0456461i 0.539010 0.842300i \(-0.318799\pi\)
−0.459948 + 0.887946i \(0.652132\pi\)
\(192\) 4.28220e36 2.64774e36i 1.25559 0.776346i
\(193\) 1.23758e36 + 2.14355e36i 0.333930 + 0.578384i 0.983279 0.182107i \(-0.0582917\pi\)
−0.649349 + 0.760491i \(0.724958\pi\)
\(194\) −2.68448e36 1.54988e36i −0.666856 0.385009i
\(195\) −7.86903e36 + 2.37537e35i −1.80039 + 0.0543472i
\(196\) 1.46345e36 5.96133e36i 0.308519 1.25674i
\(197\) 1.81074e36i 0.351882i −0.984401 0.175941i \(-0.943703\pi\)
0.984401 0.175941i \(-0.0562967\pi\)
\(198\) 6.32621e35 1.26652e36i 0.113371 0.226970i
\(199\) 4.88760e36 + 8.46557e36i 0.808066 + 1.39961i 0.914202 + 0.405259i \(0.132819\pi\)
−0.106136 + 0.994352i \(0.533848\pi\)
\(200\) 4.39488e35 2.53738e35i 0.0670605 0.0387174i
\(201\) −6.76424e36 3.63775e36i −0.952977 0.512503i
\(202\) −1.33739e37 −1.74034
\(203\) 1.22588e36 + 4.92711e35i 0.147405 + 0.0592456i
\(204\) 1.50925e37 4.55588e35i 1.67757 0.0506395i
\(205\) −4.60009e36 + 7.96758e36i −0.472829 + 0.818964i
\(206\) −6.71867e35 + 3.87903e35i −0.0638863 + 0.0368848i
\(207\) −1.43491e37 + 9.48234e36i −1.26269 + 0.834430i
\(208\) 6.32067e36 1.09477e37i 0.514932 0.891888i
\(209\) 2.84223e36i 0.214446i
\(210\) −1.80275e37 + 1.50373e37i −1.26016 + 1.05114i
\(211\) 3.08031e36 0.199561 0.0997803 0.995009i \(-0.468186\pi\)
0.0997803 + 0.995009i \(0.468186\pi\)
\(212\) −1.74419e37 1.00701e37i −1.04766 0.604867i
\(213\) −6.37657e36 1.03129e37i −0.355233 0.574521i
\(214\) 1.78450e37 + 3.09085e37i 0.922353 + 1.59756i
\(215\) −2.18666e37 1.26247e37i −1.04898 0.605627i
\(216\) −9.95890e36 + 9.04064e35i −0.443559 + 0.0402661i
\(217\) −6.76577e36 + 9.63343e35i −0.279873 + 0.0398497i
\(218\) 5.48020e37i 2.10617i
\(219\) 4.68183e35 + 2.51785e35i 0.0167228 + 0.00899339i
\(220\) 3.53613e36 + 6.12476e36i 0.117426 + 0.203388i
\(221\) 6.04628e37 3.49082e37i 1.86729 1.07808i
\(222\) 2.88813e37 5.37035e37i 0.829791 1.54296i
\(223\) 6.74354e37 1.80306 0.901529 0.432718i \(-0.142445\pi\)
0.901529 + 0.432718i \(0.142445\pi\)
\(224\) −7.83608e36 5.50345e37i −0.195043 1.36983i
\(225\) 7.48741e36 4.52447e35i 0.173545 0.0104869i
\(226\) 3.15821e37 5.47018e37i 0.681877 1.18105i
\(227\) 9.36451e36 5.40660e36i 0.188396 0.108770i −0.402836 0.915272i \(-0.631975\pi\)
0.591231 + 0.806502i \(0.298642\pi\)
\(228\) −7.51437e37 + 4.64623e37i −1.40908 + 0.871251i
\(229\) −2.88001e37 + 4.98833e37i −0.503531 + 0.872142i 0.496460 + 0.868059i \(0.334633\pi\)
−0.999992 + 0.00408241i \(0.998701\pi\)
\(230\) 1.52313e38i 2.48366i
\(231\) −7.05304e36 8.45554e36i −0.107296 0.128632i
\(232\) −4.98391e36 −0.0707558
\(233\) −6.11631e37 3.53125e37i −0.810578 0.467987i 0.0365786 0.999331i \(-0.488354\pi\)
−0.847157 + 0.531343i \(0.821687\pi\)
\(234\) −1.69758e38 + 1.12182e38i −2.10076 + 1.38825i
\(235\) −2.81408e37 4.87413e37i −0.325275 0.563393i
\(236\) −5.11651e37 2.95402e37i −0.552563 0.319022i
\(237\) 2.82712e36 + 9.36558e37i 0.0285345 + 0.945281i
\(238\) 7.76399e37 1.93170e38i 0.732577 1.82267i
\(239\) 2.19582e37i 0.193745i −0.995297 0.0968726i \(-0.969116\pi\)
0.995297 0.0968726i \(-0.0308839\pi\)
\(240\) −3.85178e37 + 7.16222e37i −0.317893 + 0.591109i
\(241\) 2.19068e36 + 3.79436e36i 0.0169163 + 0.0292999i 0.874360 0.485278i \(-0.161282\pi\)
−0.857443 + 0.514578i \(0.827948\pi\)
\(242\) 1.76408e38 1.01849e38i 1.27489 0.736058i
\(243\) −1.37661e38 5.38236e37i −0.931343 0.364144i
\(244\) −3.86446e38 −2.44823
\(245\) 5.09616e37 + 1.75329e38i 0.302403 + 1.04039i
\(246\) 7.17467e36 + 2.37680e38i 0.0398878 + 1.32139i
\(247\) −2.04250e38 + 3.53772e38i −1.06417 + 1.84320i
\(248\) 2.23260e37 1.28899e37i 0.109039 0.0629539i
\(249\) 1.45050e38 + 2.34591e38i 0.664247 + 1.07429i
\(250\) 1.57824e38 2.73360e38i 0.677850 1.17407i
\(251\) 9.23507e37i 0.372101i −0.982540 0.186050i \(-0.940431\pi\)
0.982540 0.186050i \(-0.0595688\pi\)
\(252\) −1.08253e38 + 3.24694e38i −0.409290 + 1.22763i
\(253\) 7.14404e37 0.253522
\(254\) 1.03686e38 + 5.98633e37i 0.345447 + 0.199444i
\(255\) −3.82008e38 + 2.36201e38i −1.19517 + 0.738989i
\(256\) −3.15411e37 5.46308e37i −0.0926909 0.160545i
\(257\) 1.03225e38 + 5.95969e37i 0.285006 + 0.164548i 0.635688 0.771946i \(-0.280717\pi\)
−0.350682 + 0.936495i \(0.614050\pi\)
\(258\) −6.52298e38 + 1.96905e37i −1.69251 + 0.0510906i
\(259\) −2.92656e38 3.73190e38i −0.713775 0.910194i
\(260\) 1.01646e39i 2.33087i
\(261\) −6.59036e37 3.29186e37i −0.142122 0.0709894i
\(262\) 3.88396e38 + 6.72722e38i 0.787869 + 1.36463i
\(263\) 6.77208e38 3.90986e38i 1.29250 0.746224i 0.313402 0.949621i \(-0.398531\pi\)
0.979096 + 0.203397i \(0.0651981\pi\)
\(264\) 3.65819e37 + 1.96735e37i 0.0657058 + 0.0353360i
\(265\) 5.99072e38 1.01285
\(266\) 1.71711e38 + 1.20596e39i 0.273333 + 1.91968i
\(267\) 9.25688e38 2.79431e37i 1.38766 0.0418885i
\(268\) 4.95822e38 8.58789e38i 0.700115 1.21263i
\(269\) 2.26658e38 1.30861e38i 0.301533 0.174090i −0.341599 0.939846i \(-0.610968\pi\)
0.643131 + 0.765756i \(0.277635\pi\)
\(270\) 1.06979e39 7.54293e38i 1.34115 0.945627i
\(271\) −3.69805e38 + 6.40522e38i −0.436983 + 0.756877i −0.997455 0.0712963i \(-0.977286\pi\)
0.560472 + 0.828173i \(0.310620\pi\)
\(272\) 7.21190e38i 0.803428i
\(273\) 2.70254e38 + 1.55931e39i 0.283902 + 1.63806i
\(274\) −1.26471e39 −1.25309
\(275\) −2.69830e37 1.55786e37i −0.0252213 0.0145615i
\(276\) −1.16785e39 1.88876e39i −1.03001 1.66584i
\(277\) 5.56310e38 + 9.63556e38i 0.463063 + 0.802049i 0.999112 0.0421382i \(-0.0134170\pi\)
−0.536049 + 0.844187i \(0.680084\pi\)
\(278\) 1.95826e39 + 1.13060e39i 1.53870 + 0.888368i
\(279\) 3.80360e38 2.29843e37i 0.282181 0.0170515i
\(280\) −4.25026e38 5.41986e38i −0.297774 0.379716i
\(281\) 2.98502e37i 0.0197536i 0.999951 + 0.00987679i \(0.00314393\pi\)
−0.999951 + 0.00987679i \(0.996856\pi\)
\(282\) −1.28114e39 6.88986e38i −0.800960 0.430749i
\(283\) 8.38983e38 + 1.45316e39i 0.495644 + 0.858481i 0.999987 0.00502234i \(-0.00159867\pi\)
−0.504343 + 0.863503i \(0.668265\pi\)
\(284\) 1.35577e39 7.82754e38i 0.756994 0.437051i
\(285\) 1.24469e39 2.31445e39i 0.656967 1.22160i
\(286\) 8.45181e38 0.421787
\(287\) 1.71600e39 + 6.89705e38i 0.809856 + 0.325501i
\(288\) 1.86960e38 + 3.09395e39i 0.0834583 + 1.38113i
\(289\) 8.07562e38 1.39874e39i 0.341044 0.590705i
\(290\) 5.64986e38 3.26195e38i 0.225772 0.130349i
\(291\) 1.14336e39 7.06956e38i 0.432411 0.267365i
\(292\) −3.43180e37 + 5.94406e37i −0.0122856 + 0.0212793i
\(293\) 5.23252e38i 0.177349i −0.996061 0.0886745i \(-0.971737\pi\)
0.996061 0.0886745i \(-0.0282631\pi\)
\(294\) 3.50346e39 + 3.16160e39i 1.12445 + 1.01473i
\(295\) 1.75735e39 0.534203
\(296\) 1.54934e39 + 8.94514e38i 0.446150 + 0.257585i
\(297\) 3.53791e38 + 5.01771e38i 0.0965258 + 0.136900i
\(298\) −3.54969e39 6.14824e39i −0.917761 1.58961i
\(299\) −8.89218e39 5.13390e39i −2.17906 1.25808i
\(300\) 2.92219e37 + 9.68051e38i 0.00678841 + 0.224884i
\(301\) −1.89286e39 + 4.70948e39i −0.416921 + 1.03731i
\(302\) 9.90433e39i 2.06878i
\(303\) 2.74704e39 5.10801e39i 0.544231 1.01198i
\(304\) 2.10987e39 + 3.65440e39i 0.396531 + 0.686812i
\(305\) 9.95485e39 5.74744e39i 1.77516 1.02489i
\(306\) −5.18721e39 + 1.03849e40i −0.877791 + 1.75735i
\(307\) 6.36754e39 1.02272 0.511361 0.859366i \(-0.329141\pi\)
0.511361 + 0.859366i \(0.329141\pi\)
\(308\) 1.11871e39 8.77291e38i 0.170571 0.133762i
\(309\) −1.01513e37 3.36289e38i −0.00146956 0.0486830i
\(310\) −1.68728e39 + 2.92245e39i −0.231953 + 0.401754i
\(311\) −8.42043e39 + 4.86154e39i −1.09943 + 0.634757i −0.936072 0.351810i \(-0.885566\pi\)
−0.163360 + 0.986567i \(0.552233\pi\)
\(312\) −3.13956e39 5.07763e39i −0.389400 0.629778i
\(313\) −2.38405e39 + 4.12930e39i −0.280935 + 0.486594i −0.971615 0.236566i \(-0.923978\pi\)
0.690680 + 0.723160i \(0.257311\pi\)
\(314\) 1.42522e40i 1.59590i
\(315\) −2.04043e39 9.97412e39i −0.217147 1.06147i
\(316\) −1.20978e40 −1.22380
\(317\) 1.05560e40 + 6.09452e39i 1.01520 + 0.586127i 0.912710 0.408607i \(-0.133985\pi\)
0.102491 + 0.994734i \(0.467319\pi\)
\(318\) 1.31695e40 8.14288e39i 1.20430 0.744636i
\(319\) 1.52997e38 + 2.64999e38i 0.0133055 + 0.0230459i
\(320\) −1.67451e40 9.66782e39i −1.38513 0.799703i
\(321\) −1.54706e40 + 4.67001e38i −1.21738 + 0.0367483i
\(322\) −3.03123e40 + 4.31602e39i −2.26947 + 0.323139i
\(323\) 2.33050e40i 1.66039i
\(324\) 7.48250e39 1.75561e40i 0.507372 1.19044i
\(325\) 2.23905e39 + 3.87815e39i 0.144521 + 0.250317i
\(326\) −2.44385e40 + 1.41096e40i −1.50174 + 0.867028i
\(327\) −2.09310e40 1.12565e40i −1.22469 0.658629i
\(328\) −6.97655e39 −0.388740
\(329\) −8.90275e39 + 6.98155e39i −0.472487 + 0.370525i
\(330\) −5.43463e39 + 1.64051e38i −0.274756 + 0.00829386i
\(331\) −1.31147e39 + 2.27153e39i −0.0631699 + 0.109414i −0.895881 0.444295i \(-0.853454\pi\)
0.832711 + 0.553708i \(0.186788\pi\)
\(332\) −3.08402e40 + 1.78056e40i −1.41549 + 0.817236i
\(333\) 1.45792e40 + 2.20618e40i 0.637713 + 0.965014i
\(334\) 2.16135e40 3.74357e40i 0.901118 1.56078i
\(335\) 2.94965e40i 1.17234i
\(336\) 1.53452e40 + 5.63603e39i 0.581493 + 0.213572i
\(337\) 3.58833e40 1.29662 0.648312 0.761375i \(-0.275475\pi\)
0.648312 + 0.761375i \(0.275475\pi\)
\(338\) −6.71368e40 3.87615e40i −2.31363 1.33577i
\(339\) 1.44057e40 + 2.32984e40i 0.473521 + 0.765828i
\(340\) −2.89947e40 5.02203e40i −0.909193 1.57477i
\(341\) −1.37074e39 7.91395e38i −0.0410095 0.0236768i
\(342\) −4.09684e39 6.77974e40i −0.116958 1.93551i
\(343\) 3.34487e40 1.51102e40i 0.911326 0.411685i
\(344\) 1.91468e40i 0.497921i
\(345\) 5.81744e40 + 3.12857e40i 1.44420 + 0.776677i
\(346\) 1.29378e40 + 2.24090e40i 0.306651 + 0.531135i
\(347\) −3.03153e40 + 1.75026e40i −0.686106 + 0.396123i −0.802151 0.597121i \(-0.796311\pi\)
0.116046 + 0.993244i \(0.462978\pi\)
\(348\) 4.50506e39 8.37697e39i 0.0973717 0.181058i
\(349\) 7.18374e40 1.48301 0.741505 0.670948i \(-0.234113\pi\)
0.741505 + 0.670948i \(0.234113\pi\)
\(350\) 1.23901e40 + 4.97990e39i 0.244336 + 0.0982046i
\(351\) −7.97768e39 8.78797e40i −0.150301 1.65567i
\(352\) 6.43742e39 1.11499e40i 0.115885 0.200720i
\(353\) 3.93073e40 2.26941e40i 0.676205 0.390407i −0.122219 0.992503i \(-0.539001\pi\)
0.798424 + 0.602096i \(0.205668\pi\)
\(354\) 3.86322e40 2.38868e40i 0.635181 0.392740i
\(355\) −2.32831e40 + 4.03275e40i −0.365921 + 0.633793i
\(356\) 1.19574e41i 1.79653i
\(357\) 5.78318e40 + 6.93316e40i 0.830759 + 0.995955i
\(358\) 8.25246e40 1.13359
\(359\) −5.55028e40 3.20446e40i −0.729128 0.420962i 0.0889752 0.996034i \(-0.471641\pi\)
−0.818103 + 0.575072i \(0.804974\pi\)
\(360\) 2.11734e40 + 3.20405e40i 0.266042 + 0.402586i
\(361\) −2.65804e40 4.60386e40i −0.319482 0.553359i
\(362\) 6.17530e40 + 3.56531e40i 0.710102 + 0.409978i
\(363\) 2.66537e39 + 8.82975e40i 0.0293259 + 0.971499i
\(364\) −2.02290e41 + 2.88030e40i −2.12986 + 0.303260i
\(365\) 2.04158e39i 0.0205722i
\(366\) 1.40718e41 2.61658e41i 1.35722 2.52370i
\(367\) 7.47460e40 + 1.29464e41i 0.690130 + 1.19534i 0.971795 + 0.235827i \(0.0757799\pi\)
−0.281665 + 0.959513i \(0.590887\pi\)
\(368\) −9.18544e40 + 5.30322e40i −0.811961 + 0.468786i
\(369\) −9.22529e40 4.60800e40i −0.780833 0.390023i
\(370\) −2.34183e41 −1.89813
\(371\) −1.69756e40 1.19223e41i −0.131778 0.925504i
\(372\) 1.48447e39 + 4.91770e40i 0.0110379 + 0.365658i
\(373\) −8.66530e40 + 1.50087e41i −0.617223 + 1.06906i 0.372767 + 0.927925i \(0.378409\pi\)
−0.989990 + 0.141137i \(0.954924\pi\)
\(374\) 4.17577e40 2.41088e40i 0.284965 0.164524i
\(375\) 7.19891e40 + 1.16428e41i 0.470724 + 0.761305i
\(376\) 2.13393e40 3.69608e40i 0.133714 0.231599i
\(377\) 4.39792e40i 0.264111i
\(378\) −1.80428e41 1.91529e41i −1.03857 1.10246i
\(379\) −3.42919e40 −0.189218 −0.0946092 0.995514i \(-0.530160\pi\)
−0.0946092 + 0.995514i \(0.530160\pi\)
\(380\) 2.93842e41 + 1.69650e41i 1.55445 + 0.897463i
\(381\) −4.41617e40 + 2.73057e40i −0.223999 + 0.138501i
\(382\) −1.42141e40 2.46196e40i −0.0691363 0.119748i
\(383\) 3.22705e41 + 1.86314e41i 1.50531 + 0.869091i 0.999981 + 0.00616315i \(0.00196181\pi\)
0.505328 + 0.862927i \(0.331372\pi\)
\(384\) −1.90402e41 + 5.74752e39i −0.851866 + 0.0257147i
\(385\) −1.57703e40 + 3.92370e40i −0.0676814 + 0.168393i
\(386\) 2.45688e41i 1.01155i
\(387\) 1.26464e41 2.53183e41i 0.499564 1.00014i
\(388\) 8.67821e40 + 1.50311e41i 0.328944 + 0.569748i
\(389\) −2.88417e40 + 1.66517e40i −0.104912 + 0.0605712i −0.551538 0.834150i \(-0.685959\pi\)
0.446626 + 0.894721i \(0.352626\pi\)
\(390\) 6.88237e41 + 3.70128e41i 2.40272 + 1.29216i
\(391\) −5.85779e41 −1.96293
\(392\) −9.58186e40 + 9.99437e40i −0.308228 + 0.321498i
\(393\) −3.36717e41 + 1.01642e40i −1.03988 + 0.0313902i
\(394\) −8.98687e40 + 1.55657e41i −0.266483 + 0.461561i
\(395\) 3.11639e41 1.79925e41i 0.887356 0.512315i
\(396\) −6.61344e40 + 4.37038e40i −0.180844 + 0.119508i
\(397\) 5.39657e40 9.34712e40i 0.141732 0.245488i −0.786417 0.617696i \(-0.788066\pi\)
0.928149 + 0.372209i \(0.121399\pi\)
\(398\) 9.70304e41i 2.44782i
\(399\) −4.95876e41 1.82126e41i −1.20173 0.441374i
\(400\) 4.62579e40 0.107702
\(401\) 3.53018e41 + 2.03815e41i 0.789745 + 0.455959i 0.839873 0.542783i \(-0.182630\pi\)
−0.0501280 + 0.998743i \(0.515963\pi\)
\(402\) 4.00931e41 + 6.48428e41i 0.861893 + 1.39394i
\(403\) 1.13744e41 + 1.97010e41i 0.234988 + 0.407012i
\(404\) 6.48514e41 + 3.74419e41i 1.28771 + 0.743458i
\(405\) 6.83552e40 + 5.63530e41i 0.130464 + 1.07557i
\(406\) −8.09268e40 1.03197e41i −0.148483 0.189343i
\(407\) 1.09840e41i 0.193754i
\(408\) −2.99956e41 1.61313e41i −0.508738 0.273595i
\(409\) 7.53942e40 + 1.30587e41i 0.122960 + 0.212974i 0.920934 0.389719i \(-0.127428\pi\)
−0.797973 + 0.602693i \(0.794095\pi\)
\(410\) 7.90876e41 4.56613e41i 1.24041 0.716154i
\(411\) 2.59776e41 4.83042e41i 0.391859 0.728644i
\(412\) 4.34394e40 0.0630273
\(413\) −4.97971e40 3.49736e41i −0.0695030 0.488135i
\(414\) 1.70411e42 1.02975e41i 2.28819 0.138270i
\(415\) 5.29630e41 9.17345e41i 0.684231 1.18512i
\(416\) −1.60253e42 + 9.25221e41i −1.99211 + 1.15014i
\(417\) −8.34056e41 + 5.15707e41i −0.997742 + 0.616916i
\(418\) −1.41062e41 + 2.44327e41i −0.162402 + 0.281288i
\(419\) 7.32500e41i 0.811677i 0.913945 + 0.405839i \(0.133020\pi\)
−0.913945 + 0.405839i \(0.866980\pi\)
\(420\) 1.29516e42 2.24472e41i 1.38145 0.239427i
\(421\) 2.17995e41 0.223838 0.111919 0.993717i \(-0.464300\pi\)
0.111919 + 0.993717i \(0.464300\pi\)
\(422\) −2.64793e41 1.52878e41i −0.261763 0.151129i
\(423\) 5.26302e41 3.47798e41i 0.500944 0.331040i
\(424\) 2.27140e41 + 3.93418e41i 0.208180 + 0.360579i
\(425\) 2.21249e41 + 1.27738e41i 0.195280 + 0.112745i
\(426\) 3.63142e40 + 1.20300e42i 0.0308690 + 1.02262i
\(427\) −1.42590e42 1.81829e42i −1.16746 1.48873i
\(428\) 1.99838e42i 1.57608i
\(429\) −1.73603e41 + 3.22808e41i −0.131899 + 0.245260i
\(430\) 1.25315e42 + 2.17052e42i 0.917291 + 1.58879i
\(431\) −1.39090e42 + 8.03037e41i −0.980980 + 0.566369i −0.902566 0.430552i \(-0.858319\pi\)
−0.0784141 + 0.996921i \(0.524986\pi\)
\(432\) −8.27365e41 3.82523e41i −0.562286 0.259966i
\(433\) −2.77580e41 −0.181795 −0.0908975 0.995860i \(-0.528974\pi\)
−0.0908975 + 0.995860i \(0.528974\pi\)
\(434\) 6.29419e41 + 2.52979e41i 0.397287 + 0.159679i
\(435\) 8.53645e39 + 2.82792e41i 0.00519337 + 0.172044i
\(436\) 1.53425e42 2.65741e42i 0.899733 1.55838i
\(437\) 2.96825e42 1.71372e42i 1.67802 0.968805i
\(438\) −2.77502e40 4.48806e40i −0.0151245 0.0244609i
\(439\) −1.81090e41 + 3.13657e41i −0.0951618 + 0.164825i −0.909676 0.415318i \(-0.863670\pi\)
0.814514 + 0.580143i \(0.197004\pi\)
\(440\) 1.59521e41i 0.0808306i
\(441\) −1.92716e42 + 6.88704e41i −0.941675 + 0.336524i
\(442\) −6.93010e42 −3.26575
\(443\) −1.03504e42 5.97578e41i −0.470431 0.271603i 0.245989 0.969273i \(-0.420887\pi\)
−0.716420 + 0.697669i \(0.754221\pi\)
\(444\) −2.90399e42 + 1.79557e42i −1.27311 + 0.787182i
\(445\) −1.77836e42 3.08022e42i −0.752074 1.30263i
\(446\) −5.79696e42 3.34688e42i −2.36506 1.36547i
\(447\) 3.07737e42 9.28945e40i 1.21132 0.0365654i
\(448\) −1.44952e42 + 3.60646e42i −0.550525 + 1.36972i
\(449\) 3.16593e42i 1.16027i 0.814520 + 0.580136i \(0.197001\pi\)
−0.814520 + 0.580136i \(0.802999\pi\)
\(450\) −6.66097e41 3.32713e41i −0.235579 0.117671i
\(451\) 2.14168e41 + 3.70950e41i 0.0731021 + 0.126617i
\(452\) −3.06290e42 + 1.76837e42i −1.00906 + 0.582582i
\(453\) −3.78285e42 2.03439e42i −1.20295 0.646937i
\(454\) −1.07334e42 −0.329490
\(455\) 4.78261e42 3.75053e42i 1.41737 1.11150i
\(456\) 1.99186e42 6.01267e40i 0.569928 0.0172040i
\(457\) 8.60547e40 1.49051e41i 0.0237747 0.0411790i −0.853893 0.520448i \(-0.825765\pi\)
0.877668 + 0.479269i \(0.159098\pi\)
\(458\) 4.95150e42 2.85875e42i 1.32096 0.762656i
\(459\) −2.90093e42 4.11430e42i −0.747366 1.05997i
\(460\) −4.26421e42 + 7.38583e42i −1.06099 + 1.83770i
\(461\) 1.96023e42i 0.471078i −0.971865 0.235539i \(-0.924314\pi\)
0.971865 0.235539i \(-0.0756856\pi\)
\(462\) 1.86646e41 + 1.07691e42i 0.0433260 + 0.249982i
\(463\) −7.33791e42 −1.64542 −0.822709 0.568463i \(-0.807538\pi\)
−0.822709 + 0.568463i \(0.807538\pi\)
\(464\) −3.93432e41 2.27148e41i −0.0852280 0.0492064i
\(465\) −7.69627e41 1.24472e42i −0.161077 0.260510i
\(466\) 3.50518e42 + 6.07116e42i 0.708820 + 1.22771i
\(467\) −2.07756e42 1.19948e42i −0.405960 0.234381i 0.283093 0.959093i \(-0.408640\pi\)
−0.689052 + 0.724712i \(0.741973\pi\)
\(468\) 1.13724e43 6.87208e41i 2.14743 0.129764i
\(469\) 5.87020e42 8.35828e41i 1.07124 0.152529i
\(470\) 5.58661e42i 0.985332i
\(471\) 5.44347e42 + 2.92745e42i 0.927985 + 0.499062i
\(472\) 6.66305e41 + 1.15407e42i 0.109800 + 0.190179i
\(473\) −1.01805e42 + 5.87772e41i −0.162178 + 0.0936334i
\(474\) 4.40519e42 8.19126e42i 0.678440 1.26153i
\(475\) −1.49481e42 −0.222581
\(476\) −9.17290e42 + 7.19340e42i −1.32067 + 1.03567i
\(477\) 4.05019e41 + 6.70254e42i 0.0563872 + 0.933136i
\(478\) −1.08981e42 + 1.88760e42i −0.146725 + 0.254134i
\(479\) −1.22005e43 + 7.04397e42i −1.58858 + 0.917168i −0.595041 + 0.803695i \(0.702864\pi\)
−0.993541 + 0.113473i \(0.963802\pi\)
\(480\) 1.01249e43 6.26035e42i 1.27506 0.788386i
\(481\) −7.89341e42 + 1.36718e43i −0.961487 + 1.66534i
\(482\) 4.34901e41i 0.0512434i
\(483\) 4.57781e42 1.24640e43i 0.521799 1.42070i
\(484\) −1.14056e43 −1.25775
\(485\) −4.47101e42 2.58134e42i −0.477022 0.275409i
\(486\) 9.16244e42 + 1.14591e43i 0.945869 + 1.18296i
\(487\) 1.47816e42 + 2.56025e42i 0.147658 + 0.255752i 0.930362 0.366643i \(-0.119493\pi\)
−0.782703 + 0.622395i \(0.786160\pi\)
\(488\) 7.54883e42 + 4.35832e42i 0.729730 + 0.421310i
\(489\) −3.69245e41 1.22322e43i −0.0345440 1.14436i
\(490\) 4.32092e42 1.76011e43i 0.391236 1.59369i
\(491\) 1.19447e43i 1.04682i 0.852082 + 0.523408i \(0.175340\pi\)
−0.852082 + 0.523408i \(0.824660\pi\)
\(492\) 6.30625e42 1.17262e43i 0.534970 0.994754i
\(493\) −1.25451e42 2.17287e42i −0.103020 0.178437i
\(494\) 3.51160e43 2.02743e43i 2.79174 1.61181i
\(495\) 1.05363e42 2.10940e42i 0.0810974 0.162358i
\(496\) 2.34990e42 0.175123
\(497\) 8.68546e42 + 3.49090e42i 0.626745 + 0.251904i
\(498\) −8.26053e41 2.73652e43i −0.0577216 1.91218i
\(499\) 1.08661e43 1.88206e43i 0.735300 1.27358i −0.219291 0.975659i \(-0.570375\pi\)
0.954592 0.297918i \(-0.0962921\pi\)
\(500\) −1.53061e43 + 8.83700e42i −1.00310 + 0.579142i
\(501\) 9.85867e42 + 1.59445e43i 0.625770 + 1.01206i
\(502\) −4.58345e42 + 7.93876e42i −0.281795 + 0.488083i
\(503\) 1.04444e43i 0.622006i 0.950409 + 0.311003i \(0.100665\pi\)
−0.950409 + 0.311003i \(0.899335\pi\)
\(504\) 5.77650e42 5.12170e42i 0.333254 0.295478i
\(505\) −2.22743e43 −1.24492
\(506\) −6.14125e42 3.54565e42i −0.332543 0.191994i
\(507\) 2.85947e43 1.76805e43i 1.50023 0.927611i
\(508\) −3.35191e42 5.80567e42i −0.170401 0.295143i
\(509\) 1.29424e43 + 7.47228e42i 0.637572 + 0.368102i 0.783679 0.621166i \(-0.213341\pi\)
−0.146107 + 0.989269i \(0.546674\pi\)
\(510\) 4.45615e43 1.34515e42i 2.12734 0.0642165i
\(511\) −4.06302e41 + 5.78513e40i −0.0187981 + 0.00267657i
\(512\) 2.52675e43i 1.13304i
\(513\) 2.67360e43 + 1.23611e43i 1.16203 + 0.537253i
\(514\) −5.91569e42 1.02463e43i −0.249227 0.431674i
\(515\) −1.11900e42 + 6.46054e41i −0.0456998 + 0.0263848i
\(516\) 3.21819e43 + 1.73072e43i 1.27414 + 0.685221i
\(517\) −2.62032e42 −0.100579
\(518\) 6.63591e42 + 4.66054e43i 0.246959 + 1.73444i
\(519\) −1.12164e43 + 3.38580e41i −0.404738 + 0.0122176i
\(520\) −1.14636e43 + 1.98556e43i −0.401115 + 0.694751i
\(521\) −3.31556e43 + 1.91424e43i −1.12500 + 0.649520i −0.942673 0.333718i \(-0.891697\pi\)
−0.182329 + 0.983238i \(0.558363\pi\)
\(522\) 4.03151e42 + 6.10065e42i 0.132660 + 0.200746i
\(523\) −1.41893e42 + 2.45766e42i −0.0452829 + 0.0784322i −0.887778 0.460271i \(-0.847752\pi\)
0.842496 + 0.538703i \(0.181086\pi\)
\(524\) 4.34947e43i 1.34628i
\(525\) −4.44700e42 + 3.70939e42i −0.133511 + 0.111366i
\(526\) −7.76199e43 −2.26048
\(527\) 1.12394e43 + 6.48909e42i 0.317522 + 0.183322i
\(528\) 1.99115e42 + 3.22030e42i 0.0545710 + 0.0882580i
\(529\) 2.42704e43 + 4.20376e43i 0.645336 + 1.11776i
\(530\) −5.14981e43 2.97325e43i −1.32855 0.767038i
\(531\) 1.18810e42 + 1.96616e43i 0.0297401 + 0.492160i
\(532\) 2.54361e43 6.32858e43i 0.617824 1.53716i
\(533\) 6.15628e43i 1.45105i
\(534\) −8.09620e43 4.35406e43i −1.85191 0.995944i
\(535\) 2.97210e43 + 5.14784e43i 0.659787 + 1.14278i
\(536\) −1.93708e43 + 1.11837e43i −0.417359 + 0.240962i
\(537\) −1.69509e43 + 3.15194e43i −0.354489 + 0.659158i
\(538\) −2.59790e43 −0.527358
\(539\) 8.25556e42 + 2.02667e42i 0.162677 + 0.0399358i
\(540\) −7.29928e43 + 6.62625e42i −1.39630 + 0.126756i
\(541\) −2.67609e43 + 4.63513e43i −0.496987 + 0.860807i −0.999994 0.00347555i \(-0.998894\pi\)
0.503007 + 0.864282i \(0.332227\pi\)
\(542\) 6.35793e43 3.67075e43i 1.14638 0.661861i
\(543\) −2.63016e43 + 1.62626e43i −0.460453 + 0.284704i
\(544\) −5.27839e43 + 9.14245e43i −0.897262 + 1.55410i
\(545\) 9.12731e43i 1.50660i
\(546\) 5.41581e43 1.47456e44i 0.868123 2.36364i
\(547\) −8.14397e43 −1.26777 −0.633883 0.773429i \(-0.718540\pi\)
−0.633883 + 0.773429i \(0.718540\pi\)
\(548\) 6.13270e43 + 3.54072e43i 0.927178 + 0.535306i
\(549\) 7.10337e43 + 1.07491e44i 1.04305 + 1.57839i
\(550\) 1.54636e42 + 2.67838e42i 0.0220551 + 0.0382005i
\(551\) 1.27136e43 + 7.34022e42i 0.176134 + 0.101691i
\(552\) 1.51131e42 + 5.00659e43i 0.0203389 + 0.673779i
\(553\) −4.46381e43 5.69218e43i −0.583585 0.744177i
\(554\) 1.10441e44i 1.40272i
\(555\) 4.81020e43 8.94436e43i 0.593574 1.10373i
\(556\) −6.33054e43 1.09648e44i −0.759005 1.31463i
\(557\) −3.33571e43 + 1.92587e43i −0.388602 + 0.224360i −0.681554 0.731768i \(-0.738696\pi\)
0.292952 + 0.956127i \(0.405362\pi\)
\(558\) −3.38377e43 1.69018e43i −0.383049 0.191331i
\(559\) 1.68956e44 1.85859
\(560\) −8.85004e42 6.21558e43i −0.0946099 0.664466i
\(561\) 6.30923e41 + 2.09010e43i 0.00655496 + 0.217150i
\(562\) 1.48149e42 2.56602e42i 0.0149595 0.0259107i
\(563\) 2.14974e43 1.24115e43i 0.210985 0.121812i −0.390784 0.920482i \(-0.627796\pi\)
0.601769 + 0.798670i \(0.294463\pi\)
\(564\) 4.28348e43 + 6.92769e43i 0.408631 + 0.660880i
\(565\) 5.26002e43 9.11062e43i 0.487767 0.844837i
\(566\) 1.66558e44i 1.50142i
\(567\) 1.10213e44 2.95720e43i 0.965837 0.259151i
\(568\) −3.53114e43 −0.300844
\(569\) −6.89600e43 3.98141e43i −0.571217 0.329792i 0.186419 0.982470i \(-0.440312\pi\)
−0.757635 + 0.652678i \(0.773645\pi\)
\(570\) −2.21866e44 + 1.37182e44i −1.78687 + 1.10484i
\(571\) 2.27671e43 + 3.94338e43i 0.178291 + 0.308810i 0.941295 0.337584i \(-0.109610\pi\)
−0.763004 + 0.646394i \(0.776276\pi\)
\(572\) −4.09837e43 2.36620e43i −0.312086 0.180183i
\(573\) 1.23228e43 3.71980e41i 0.0912507 0.00275452i
\(574\) −1.13283e44 1.44456e44i −0.815780 1.04027i
\(575\) 3.75725e43i 0.263138i
\(576\) 9.68445e43 1.93884e44i 0.659652 1.32063i
\(577\) 1.28553e44 + 2.22660e44i 0.851665 + 1.47513i 0.879705 + 0.475521i \(0.157740\pi\)
−0.0280393 + 0.999607i \(0.508926\pi\)
\(578\) −1.38841e44 + 8.01600e43i −0.894691 + 0.516550i
\(579\) 9.38381e43 + 5.04653e43i 0.588196 + 0.316327i
\(580\) −3.65291e43 −0.222736
\(581\) −1.97572e44 7.94089e43i −1.17194 0.471033i
\(582\) −1.33374e44 + 4.02607e42i −0.769668 + 0.0232334i
\(583\) 1.39456e43 2.41545e43i 0.0782962 0.135613i
\(584\) 1.34073e42 7.74073e41i 0.00732381 0.00422841i
\(585\) −2.82733e44 + 1.86839e44i −1.50273 + 0.993057i
\(586\) −2.59694e43 + 4.49804e43i −0.134308 + 0.232628i
\(587\) 2.85243e44i 1.43551i 0.696297 + 0.717754i \(0.254830\pi\)
−0.696297 + 0.717754i \(0.745170\pi\)
\(588\) −8.13732e43 2.51393e44i −0.398515 1.23117i
\(589\) −7.59362e43 −0.361913
\(590\) −1.51068e44 8.72189e43i −0.700711 0.404556i
\(591\) −4.09922e43 6.62969e43i −0.185055 0.299291i
\(592\) 8.15374e43 + 1.41227e44i 0.358269 + 0.620540i
\(593\) 1.64599e44 + 9.50313e43i 0.703967 + 0.406435i 0.808823 0.588052i \(-0.200105\pi\)
−0.104856 + 0.994487i \(0.533438\pi\)
\(594\) −5.50966e42 6.06928e43i −0.0229373 0.252670i
\(595\) 1.29310e44 3.21726e44i 0.524034 1.30381i
\(596\) 3.97513e44i 1.56823i
\(597\) 3.70597e44 + 1.99304e44i 1.42335 + 0.765468i
\(598\) 5.09600e44 + 8.82653e44i 1.90551 + 3.30044i
\(599\) 3.98156e44 2.29875e44i 1.44952 0.836880i 0.451065 0.892491i \(-0.351044\pi\)
0.998452 + 0.0556112i \(0.0177107\pi\)
\(600\) 1.03468e43 1.92395e43i 0.0366764 0.0681982i
\(601\) 1.22140e44 0.421568 0.210784 0.977533i \(-0.432398\pi\)
0.210784 + 0.977533i \(0.432398\pi\)
\(602\) 3.96452e44 3.10898e44i 1.33244 1.04490i
\(603\) −3.30013e44 + 1.99419e43i −1.08008 + 0.0652665i
\(604\) 2.77285e44 4.80271e44i 0.883762 1.53072i
\(605\) 2.93809e44 1.69631e44i 0.911967 0.526524i
\(606\) −4.89660e44 + 3.02763e44i −1.48024 + 0.915252i
\(607\) −2.40602e44 + 4.16735e44i −0.708403 + 1.22699i 0.257046 + 0.966399i \(0.417251\pi\)
−0.965449 + 0.260591i \(0.916083\pi\)
\(608\) 6.17685e44i 1.77137i
\(609\) 5.60375e43 9.71220e42i 0.156532 0.0271295i
\(610\) −1.14100e45 −3.10462
\(611\) 3.26151e44 + 1.88304e44i 0.864490 + 0.499113i
\(612\) 5.42272e44 3.58351e44i 1.40021 0.925308i
\(613\) −1.86549e44 3.23112e44i −0.469272 0.812802i 0.530111 0.847928i \(-0.322150\pi\)
−0.999383 + 0.0351257i \(0.988817\pi\)
\(614\) −5.47375e44 3.16027e44i −1.34150 0.774515i
\(615\) 1.19495e43 + 3.95857e44i 0.0285329 + 0.945228i
\(616\) −3.17468e43 + 4.52027e42i −0.0738600 + 0.0105165i
\(617\) 1.80097e44i 0.408266i 0.978943 + 0.204133i \(0.0654375\pi\)
−0.978943 + 0.204133i \(0.934562\pi\)
\(618\) −1.58177e43 + 2.94123e43i −0.0349404 + 0.0649701i
\(619\) −1.81049e44 3.13586e44i −0.389713 0.675003i 0.602697 0.797970i \(-0.294093\pi\)
−0.992411 + 0.122966i \(0.960759\pi\)
\(620\) 1.63636e44 9.44753e43i 0.343251 0.198176i
\(621\) −3.10700e44 + 6.72018e44i −0.635150 + 1.37378i
\(622\) 9.65130e44 1.92282
\(623\) −5.62611e44 + 4.41201e44i −1.09245 + 0.856697i
\(624\) −1.64189e43 5.43921e44i −0.0310736 1.02939i
\(625\) 3.09982e44 5.36905e44i 0.571817 0.990416i
\(626\) 4.09881e44 2.36645e44i 0.737002 0.425508i
\(627\) −6.43435e43 1.04063e44i −0.112778 0.182396i
\(628\) −3.99008e44 + 6.91103e44i −0.681754 + 1.18083i
\(629\) 9.00640e44i 1.50017i
\(630\) −3.19622e44 + 9.58676e44i −0.519025 + 1.55677i
\(631\) 1.77217e44 0.280567 0.140284 0.990111i \(-0.455199\pi\)
0.140284 + 0.990111i \(0.455199\pi\)
\(632\) 2.36318e44 + 1.36438e44i 0.364773 + 0.210602i
\(633\) 1.12780e44 6.97332e43i 0.169735 0.104949i
\(634\) −6.04953e44 1.04781e45i −0.887756 1.53764i
\(635\) 1.72690e44 + 9.97027e43i 0.247109 + 0.142668i
\(636\) −8.66575e44 + 2.61587e43i −1.20918 + 0.0365008i
\(637\) −8.81928e44 8.45526e44i −1.20006 1.15053i
\(638\) 3.03736e43i 0.0403056i
\(639\) −4.66933e44 2.33231e44i −0.604284 0.301837i
\(640\) 3.65786e44 + 6.33560e44i 0.461687 + 0.799665i
\(641\) 9.33060e44 5.38702e44i 1.14863 0.663163i 0.200079 0.979780i \(-0.435880\pi\)
0.948554 + 0.316617i \(0.102547\pi\)
\(642\) 1.35308e45 + 7.27676e44i 1.62467 + 0.873731i
\(643\) 2.33944e44 0.273991 0.136996 0.990572i \(-0.456255\pi\)
0.136996 + 0.990572i \(0.456255\pi\)
\(644\) 1.59071e45 + 6.39346e44i 1.81726 + 0.730402i
\(645\) −1.08641e45 + 3.27946e43i −1.21070 + 0.0365466i
\(646\) 1.15665e45 2.00337e45i 1.25742 2.17792i
\(647\) −1.52778e45 + 8.82067e44i −1.62029 + 0.935477i −0.633452 + 0.773782i \(0.718363\pi\)
−0.986841 + 0.161695i \(0.948304\pi\)
\(648\) −3.44160e44 + 2.58554e44i −0.356091 + 0.267517i
\(649\) 4.09088e43 7.08562e43i 0.0412954 0.0715258i
\(650\) 4.44504e44i 0.437786i
\(651\) −2.25908e44 + 1.88437e44i −0.217088 + 0.181080i
\(652\) 1.58007e45 1.48154
\(653\) 1.89050e44 + 1.09148e44i 0.172968 + 0.0998629i 0.583984 0.811765i \(-0.301493\pi\)
−0.411017 + 0.911628i \(0.634826\pi\)
\(654\) 1.24063e45 + 2.00647e45i 1.10764 + 1.79139i
\(655\) 6.46876e44 + 1.12042e45i 0.563586 + 0.976160i
\(656\) −5.50732e44 3.17966e44i −0.468252 0.270345i
\(657\) 2.28417e43 1.38027e42i 0.0189532 0.00114530i
\(658\) 1.11181e45 1.58305e44i 0.900360 0.128198i
\(659\) 7.52995e44i 0.595148i −0.954699 0.297574i \(-0.903822\pi\)
0.954699 0.297574i \(-0.0961775\pi\)
\(660\) 2.68124e44 + 1.44195e44i 0.206839 + 0.111236i
\(661\) 8.84724e44 + 1.53239e45i 0.666169 + 1.15384i 0.978967 + 0.204019i \(0.0654005\pi\)
−0.312798 + 0.949820i \(0.601266\pi\)
\(662\) 2.25476e44 1.30179e44i 0.165719 0.0956781i
\(663\) 1.42347e45 2.64688e45i 1.02125 1.89897i
\(664\) 8.03243e44 0.562546
\(665\) 2.85986e44 + 2.00854e45i 0.195523 + 1.37320i
\(666\) −1.58325e44 2.62008e45i −0.105673 1.74875i
\(667\) −1.84499e44 + 3.19561e44i −0.120221 + 0.208229i
\(668\) −2.09612e45 + 1.21020e45i −1.33350 + 0.769897i
\(669\) 2.46902e45 1.52663e45i 1.53358 0.948233i
\(670\) 1.46394e45 2.53562e45i 0.887823 1.53775i
\(671\) 5.35171e44i 0.316907i
\(672\) −1.53280e45 1.83759e45i −0.886290 1.06253i
\(673\) −2.80599e44 −0.158433 −0.0792164 0.996857i \(-0.525242\pi\)
−0.0792164 + 0.996857i \(0.525242\pi\)
\(674\) −3.08465e45 1.78092e45i −1.70078 0.981943i
\(675\) 2.63895e44 1.86068e44i 0.142092 0.100187i
\(676\) 2.17036e45 + 3.75917e45i 1.14126 + 1.97672i
\(677\) 1.23934e45 + 7.15531e44i 0.636459 + 0.367460i 0.783249 0.621708i \(-0.213561\pi\)
−0.146790 + 0.989168i \(0.546894\pi\)
\(678\) −8.20395e43 2.71777e45i −0.0411479 1.36313i
\(679\) −3.87028e44 + 9.62937e44i −0.189595 + 0.471717i
\(680\) 1.30800e45i 0.625844i
\(681\) 2.20468e44 4.09950e44i 0.103036 0.191592i
\(682\) 7.85553e43 + 1.36062e44i 0.0358613 + 0.0621135i
\(683\) 4.52657e44 2.61342e44i 0.201854 0.116541i −0.395666 0.918395i \(-0.629486\pi\)
0.597520 + 0.801854i \(0.296153\pi\)
\(684\) −1.69942e45 + 3.40227e45i −0.740291 + 1.48208i
\(685\) −2.10638e45 −0.896370
\(686\) −3.62530e45 3.61166e44i −1.50715 0.150148i
\(687\) 7.48129e43 + 2.47837e45i 0.0303856 + 1.00660i
\(688\) 8.72639e44 1.51145e45i 0.346274 0.599764i
\(689\) −3.47162e45 + 2.00434e45i −1.34594 + 0.777076i
\(690\) −3.44812e45 5.57667e45i −1.30616 2.11246i
\(691\) −2.22454e45 + 3.85301e45i −0.823363 + 1.42611i 0.0798014 + 0.996811i \(0.474571\pi\)
−0.903164 + 0.429295i \(0.858762\pi\)
\(692\) 1.44885e45i 0.523993i
\(693\) −4.49654e44 1.49914e44i −0.158908 0.0529800i
\(694\) 3.47467e45 1.19995
\(695\) 3.26150e45 + 1.88303e45i 1.10068 + 0.635476i
\(696\) −1.82477e44 + 1.12828e44i −0.0601810 + 0.0372107i
\(697\) −1.75608e45 3.04162e45i −0.566005 0.980349i
\(698\) −6.17537e45 3.56535e45i −1.94526 1.12309i
\(699\) −3.03879e45 + 9.17299e43i −0.935549 + 0.0282407i
\(700\) −4.61392e44 5.88359e44i −0.138836 0.177041i
\(701\) 5.14185e45i 1.51228i 0.654413 + 0.756138i \(0.272916\pi\)
−0.654413 + 0.756138i \(0.727084\pi\)
\(702\) −3.67576e45 + 7.95036e45i −1.05670 + 2.28556i
\(703\) −2.63485e45 4.56370e45i −0.740408 1.28242i
\(704\) −7.79610e44 + 4.50108e44i −0.214148 + 0.123639i
\(705\) −2.13375e45 1.14751e45i −0.572951 0.308128i
\(706\) −4.50531e45 −1.18263
\(707\) 6.31174e44 + 4.43288e45i 0.161972 + 1.13756i
\(708\) −2.54206e45 + 7.67353e43i −0.637754 + 0.0192514i
\(709\) 9.01891e43 1.56212e44i 0.0221215 0.0383155i −0.854753 0.519035i \(-0.826291\pi\)
0.876874 + 0.480720i \(0.159625\pi\)
\(710\) 4.00298e45 2.31112e45i 0.959952 0.554229i
\(711\) 2.22372e45 + 3.36503e45i 0.521396 + 0.788998i
\(712\) 1.34855e45 2.33575e45i 0.309162 0.535484i
\(713\) 1.90868e45i 0.427859i
\(714\) −1.53042e45 8.83021e45i −0.335458 1.93553i
\(715\) 1.40765e45 0.301717
\(716\) −4.00171e45 2.31039e45i −0.838758 0.484257i
\(717\) −4.97099e44 8.03960e44i −0.101891 0.164789i
\(718\) 3.18080e45 + 5.50931e45i 0.637595 + 1.10435i
\(719\) −8.08410e45 4.66736e45i −1.58478 0.914974i −0.994147 0.108035i \(-0.965544\pi\)
−0.590635 0.806939i \(-0.701123\pi\)
\(720\) 2.11152e44 + 3.49430e45i 0.0404833 + 0.669946i
\(721\) 1.60282e44 + 2.04389e44i 0.0300552 + 0.0383259i
\(722\) 5.27683e45i 0.967784i
\(723\) 1.66106e44 + 8.93303e43i 0.0297970 + 0.0160246i
\(724\) −1.99631e45 3.45771e45i −0.350277 0.606697i
\(725\) 1.39370e44 8.04655e43i 0.0239201 0.0138103i
\(726\) 4.15316e45 7.72262e45i 0.697256 1.29652i
\(727\) 2.76769e45 0.454535 0.227267 0.973832i \(-0.427021\pi\)
0.227267 + 0.973832i \(0.427021\pi\)
\(728\) 4.27636e45 + 1.71878e45i 0.687025 + 0.276132i
\(729\) −6.25867e45 + 1.14576e45i −0.983653 + 0.180075i
\(730\) −1.01326e44 + 1.75501e44i −0.0155795 + 0.0269845i
\(731\) 8.34756e45 4.81947e45i 1.25569 0.724972i
\(732\) −1.41490e46 + 8.74851e45i −2.08233 + 1.28753i
\(733\) 3.52725e45 6.10938e45i 0.507894 0.879698i −0.492064 0.870559i \(-0.663757\pi\)
0.999958 0.00913942i \(-0.00290921\pi\)
\(734\) 1.48388e46i 2.09056i
\(735\) 5.83503e45 + 5.26567e45i 0.804351 + 0.725865i
\(736\) 1.55257e46 2.09414
\(737\) 1.18930e45 + 6.86641e44i 0.156968 + 0.0906253i
\(738\) 5.64337e45 + 8.53978e45i 0.728847 + 1.10292i
\(739\) 1.27248e45 + 2.20401e45i 0.160821 + 0.278549i 0.935163 0.354217i \(-0.115253\pi\)
−0.774343 + 0.632767i \(0.781919\pi\)