Properties

Label 12.20.b.a.11.7
Level 12
Weight 20
Character 12.11
Analytic conductor 27.458
Analytic rank 0
Dimension 36
CM No

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Newspace parameters

Level: \( N \) = \( 12 = 2^{2} \cdot 3 \)
Weight: \( k \) = \( 20 \)
Character orbit: \([\chi]\) = 12.b (of order \(2\) and degree \(1\))

Newform invariants

Self dual: No
Analytic conductor: \(27.4580035868\)
Analytic rank: \(0\)
Dimension: \(36\)
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 11.7
Character \(\chi\) = 12.11
Dual form 12.20.b.a.11.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-627.004 - 362.153i) q^{2} +(8684.36 + 32967.3i) q^{3} +(261979. + 454142. i) q^{4} -6.03352e6i q^{5} +(6.49408e6 - 2.38157e7i) q^{6} +9.28886e7i q^{7} +(207167. - 3.79625e8i) q^{8} +(-1.01143e9 + 5.72600e8i) q^{9} +O(q^{10})\) \(q+(-627.004 - 362.153i) q^{2} +(8684.36 + 32967.3i) q^{3} +(261979. + 454142. i) q^{4} -6.03352e6i q^{5} +(6.49408e6 - 2.38157e7i) q^{6} +9.28886e7i q^{7} +(207167. - 3.79625e8i) q^{8} +(-1.01143e9 + 5.72600e8i) q^{9} +(-2.18506e9 + 3.78304e9i) q^{10} -6.13492e9 q^{11} +(-1.26967e10 + 1.25807e10i) q^{12} +4.99409e10 q^{13} +(3.36399e10 - 5.82415e10i) q^{14} +(1.98909e11 - 5.23972e10i) q^{15} +(-1.37612e11 + 2.37951e11i) q^{16} +2.01629e11i q^{17} +(8.41536e11 + 7.26829e9i) q^{18} -4.67496e11i q^{19} +(2.74007e12 - 1.58065e12i) q^{20} +(-3.06229e12 + 8.06678e11i) q^{21} +(3.84661e12 + 2.22178e12i) q^{22} -8.46617e12 q^{23} +(1.25170e13 - 3.28997e12i) q^{24} -1.73299e13 q^{25} +(-3.13131e13 - 1.80862e13i) q^{26} +(-2.76607e13 - 2.83713e13i) q^{27} +(-4.21846e13 + 2.43348e13i) q^{28} +2.39076e13i q^{29} +(-1.43692e14 - 3.91821e13i) q^{30} -1.41145e14i q^{31} +(1.72458e14 - 9.93596e13i) q^{32} +(-5.32778e13 - 2.02252e14i) q^{33} +(7.30206e13 - 1.26422e14i) q^{34} +5.60445e14 q^{35} +(-5.25014e14 - 3.09322e14i) q^{36} -1.37248e15 q^{37} +(-1.69305e14 + 2.93122e14i) q^{38} +(4.33705e14 + 1.64642e15i) q^{39} +(-2.29047e15 - 1.24995e12i) q^{40} -3.22320e15i q^{41} +(2.21221e15 + 6.03226e14i) q^{42} -5.84454e15i q^{43} +(-1.60722e15 - 2.78612e15i) q^{44} +(3.45479e15 + 6.10245e15i) q^{45} +(5.30832e15 + 3.06605e15i) q^{46} -1.11649e16 q^{47} +(-9.03968e15 - 2.47025e15i) q^{48} +2.77061e15 q^{49} +(1.08659e16 + 6.27605e15i) q^{50} +(-6.64717e15 + 1.75102e15i) q^{51} +(1.30835e16 + 2.26803e16i) q^{52} -3.17542e16i q^{53} +(7.06858e15 + 2.78063e16i) q^{54} +3.70151e16i q^{55} +(3.52628e16 + 1.92435e13i) q^{56} +(1.54121e16 - 4.05990e15i) q^{57} +(8.65821e15 - 1.49902e16i) q^{58} +1.59235e16 q^{59} +(7.59057e16 + 7.66059e16i) q^{60} +1.40487e17 q^{61} +(-5.11159e16 + 8.84982e16i) q^{62} +(-5.31880e16 - 9.39499e16i) q^{63} +(-1.44115e17 - 1.57292e14i) q^{64} -3.01319e17i q^{65} +(-3.98406e16 + 1.46107e17i) q^{66} +3.36496e16i q^{67} +(-9.15683e16 + 5.28226e16i) q^{68} +(-7.35232e16 - 2.79107e17i) q^{69} +(-3.51401e17 - 2.02967e17i) q^{70} -6.45435e17 q^{71} +(2.17164e17 + 3.84081e17i) q^{72} -6.40424e17 q^{73} +(8.60552e17 + 4.97049e17i) q^{74} +(-1.50499e17 - 5.71319e17i) q^{75} +(2.12310e17 - 1.22474e17i) q^{76} -5.69864e17i q^{77} +(3.24320e17 - 1.18938e18i) q^{78} -3.85286e17i q^{79} +(1.43568e18 + 8.30285e17i) q^{80} +(6.95110e17 - 1.15828e18i) q^{81} +(-1.16729e18 + 2.02096e18i) q^{82} +5.19612e17 q^{83} +(-1.16860e18 - 1.17938e18i) q^{84} +1.21653e18 q^{85} +(-2.11662e18 + 3.66455e18i) q^{86} +(-7.88170e17 + 2.07622e17i) q^{87} +(-1.27095e15 + 2.32897e18i) q^{88} +5.87080e17i q^{89} +(4.38533e16 - 5.07742e18i) q^{90} +4.63894e18i q^{91} +(-2.21796e18 - 3.84484e18i) q^{92} +(4.65316e18 - 1.22575e18i) q^{93} +(7.00042e18 + 4.04339e18i) q^{94} -2.82064e18 q^{95} +(4.77331e18 + 4.82260e18i) q^{96} -4.81674e18 q^{97} +(-1.73718e18 - 1.00338e18i) q^{98} +(6.20501e18 - 3.51285e18i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 47880q^{4} + 21771144q^{6} - 809473644q^{9} + O(q^{10}) \) \( 36q - 47880q^{4} + 21771144q^{6} - 809473644q^{9} - 4162950000q^{10} - 2268767880q^{12} - 25913431656q^{13} + 791689296672q^{16} + 2852271258192q^{18} - 1650825908424q^{21} + 7247870602416q^{22} + 23719435803936q^{24} - 118879690462380q^{25} - 7629081673968q^{28} + 37456727138640q^{30} + 529254701828640q^{33} - 248241675948480q^{34} - 1177548745309416q^{36} + 1847838600168120q^{37} - 40433256181440q^{40} - 2709671988768336q^{42} - 4365410114088000q^{45} + 17206125364795104q^{46} + 1561106052682272q^{48} - 49399737041580084q^{49} + 16558671470242896q^{52} + 40087412948587896q^{54} + 44803667812766472q^{57} - 34645536255764880q^{58} + 50260381053157440q^{60} + 174742350239997144q^{61} - 139766490424918656q^{64} - 87772097712685968q^{66} - 957190369821780672q^{69} + 244663962371376480q^{70} + 54134736422921280q^{72} - 1445122541399481432q^{73} + 2744130151937256048q^{76} + 1125465917961999024q^{78} + 1033298241353042436q^{81} + 1064985418859680800q^{82} + 1920709484261873424q^{84} - 1802899595088057600q^{85} - 9209792381828477760q^{88} - 5194944179528261040q^{90} + 6719944190337314136q^{93} - 3835186345170303552q^{94} - 11947184361208227456q^{96} + 12765226159947004488q^{97} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(7\)
\(\chi(n)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −627.004 362.153i −0.865934 0.500158i
\(3\) 8684.36 + 32967.3i 0.254733 + 0.967011i
\(4\) 261979. + 454142.i 0.499685 + 0.866207i
\(5\) 6.03352e6i 1.38151i −0.723087 0.690757i \(-0.757277\pi\)
0.723087 0.690757i \(-0.242723\pi\)
\(6\) 6.49408e6 2.38157e7i 0.263076 0.964775i
\(7\) 9.28886e7i 0.870023i 0.900425 + 0.435012i \(0.143256\pi\)
−0.900425 + 0.435012i \(0.856744\pi\)
\(8\) 207167. 3.79625e8i 0.000545716 1.00000i
\(9\) −1.01143e9 + 5.72600e8i −0.870222 + 0.492660i
\(10\) −2.18506e9 + 3.78304e9i −0.690975 + 1.19630i
\(11\) −6.13492e9 −0.784473 −0.392237 0.919864i \(-0.628299\pi\)
−0.392237 + 0.919864i \(0.628299\pi\)
\(12\) −1.26967e10 + 1.25807e10i −0.710346 + 0.703853i
\(13\) 4.99409e10 1.30615 0.653077 0.757291i \(-0.273478\pi\)
0.653077 + 0.757291i \(0.273478\pi\)
\(14\) 3.36399e10 5.82415e10i 0.435149 0.753383i
\(15\) 1.98909e11 5.23972e10i 1.33594 0.351918i
\(16\) −1.37612e11 + 2.37951e11i −0.500630 + 0.865661i
\(17\) 2.01629e11i 0.412372i 0.978513 + 0.206186i \(0.0661051\pi\)
−0.978513 + 0.206186i \(0.933895\pi\)
\(18\) 8.41536e11 + 7.26829e9i 0.999963 + 0.00863661i
\(19\) 4.67496e11i 0.332368i −0.986095 0.166184i \(-0.946856\pi\)
0.986095 0.166184i \(-0.0531445\pi\)
\(20\) 2.74007e12 1.58065e12i 1.19668 0.690322i
\(21\) −3.06229e12 + 8.06678e11i −0.841323 + 0.221624i
\(22\) 3.84661e12 + 2.22178e12i 0.679302 + 0.392360i
\(23\) −8.46617e12 −0.980105 −0.490052 0.871693i \(-0.663022\pi\)
−0.490052 + 0.871693i \(0.663022\pi\)
\(24\) 1.25170e13 3.28997e12i 0.967150 0.254206i
\(25\) −1.73299e13 −0.908584
\(26\) −3.13131e13 1.80862e13i −1.13104 0.653283i
\(27\) −2.76607e13 2.83713e13i −0.698082 0.716017i
\(28\) −4.21846e13 + 2.43348e13i −0.753621 + 0.434738i
\(29\) 2.39076e13i 0.306024i 0.988224 + 0.153012i \(0.0488973\pi\)
−0.988224 + 0.153012i \(0.951103\pi\)
\(30\) −1.43692e14 3.91821e13i −1.33285 0.363443i
\(31\) 1.41145e14i 0.958801i −0.877596 0.479400i \(-0.840854\pi\)
0.877596 0.479400i \(-0.159146\pi\)
\(32\) 1.72458e14 9.93596e13i 0.866480 0.499212i
\(33\) −5.32778e13 2.02252e14i −0.199832 0.758595i
\(34\) 7.30206e13 1.26422e14i 0.206251 0.357087i
\(35\) 5.60445e14 1.20195
\(36\) −5.25014e14 3.09322e14i −0.861582 0.507618i
\(37\) −1.37248e15 −1.73616 −0.868082 0.496421i \(-0.834647\pi\)
−0.868082 + 0.496421i \(0.834647\pi\)
\(38\) −1.69305e14 + 2.93122e14i −0.166236 + 0.287808i
\(39\) 4.33705e14 + 1.64642e15i 0.332721 + 1.26307i
\(40\) −2.29047e15 1.24995e12i −1.38151 0.000753914i
\(41\) 3.22320e15i 1.53759i −0.639496 0.768794i \(-0.720857\pi\)
0.639496 0.768794i \(-0.279143\pi\)
\(42\) 2.21221e15 + 6.03226e14i 0.839377 + 0.228882i
\(43\) 5.84454e15i 1.77337i −0.462371 0.886687i \(-0.653001\pi\)
0.462371 0.886687i \(-0.346999\pi\)
\(44\) −1.60722e15 2.78612e15i −0.391989 0.679516i
\(45\) 3.45479e15 + 6.10245e15i 0.680617 + 1.20222i
\(46\) 5.30832e15 + 3.06605e15i 0.848706 + 0.490207i
\(47\) −1.11649e16 −1.45521 −0.727603 0.685998i \(-0.759366\pi\)
−0.727603 + 0.685998i \(0.759366\pi\)
\(48\) −9.03968e15 2.47025e15i −0.964632 0.263602i
\(49\) 2.77061e15 0.243059
\(50\) 1.08659e16 + 6.27605e15i 0.786774 + 0.454435i
\(51\) −6.64717e15 + 1.75102e15i −0.398768 + 0.105045i
\(52\) 1.30835e16 + 2.26803e16i 0.652666 + 1.13140i
\(53\) 3.17542e16i 1.32184i −0.750455 0.660922i \(-0.770165\pi\)
0.750455 0.660922i \(-0.229835\pi\)
\(54\) 7.06858e15 + 2.78063e16i 0.246372 + 0.969175i
\(55\) 3.70151e16i 1.08376i
\(56\) 3.52628e16 + 1.92435e13i 0.870023 + 0.000474786i
\(57\) 1.54121e16 4.05990e15i 0.321403 0.0846651i
\(58\) 8.65821e15 1.49902e16i 0.153060 0.264997i
\(59\) 1.59235e16 0.239301 0.119651 0.992816i \(-0.461823\pi\)
0.119651 + 0.992816i \(0.461823\pi\)
\(60\) 7.59057e16 + 7.66059e16i 0.972383 + 0.981353i
\(61\) 1.40487e17 1.53816 0.769082 0.639150i \(-0.220714\pi\)
0.769082 + 0.639150i \(0.220714\pi\)
\(62\) −5.11159e16 + 8.84982e16i −0.479551 + 0.830259i
\(63\) −5.31880e16 9.39499e16i −0.428626 0.757113i
\(64\) −1.44115e17 1.57292e14i −0.999999 0.00109143i
\(65\) 3.01319e17i 1.80447i
\(66\) −3.98406e16 + 1.46107e17i −0.206376 + 0.756840i
\(67\) 3.36496e16i 0.151102i 0.997142 + 0.0755509i \(0.0240715\pi\)
−0.997142 + 0.0755509i \(0.975928\pi\)
\(68\) −9.15683e16 + 5.28226e16i −0.357199 + 0.206056i
\(69\) −7.35232e16 2.79107e17i −0.249665 0.947772i
\(70\) −3.51401e17 2.02967e17i −1.04081 0.601165i
\(71\) −6.45435e17 −1.67070 −0.835350 0.549718i \(-0.814735\pi\)
−0.835350 + 0.549718i \(0.814735\pi\)
\(72\) 2.17164e17 + 3.84081e17i 0.492185 + 0.870491i
\(73\) −6.40424e17 −1.27321 −0.636605 0.771190i \(-0.719662\pi\)
−0.636605 + 0.771190i \(0.719662\pi\)
\(74\) 8.60552e17 + 4.97049e17i 1.50340 + 0.868355i
\(75\) −1.50499e17 5.71319e17i −0.231447 0.878611i
\(76\) 2.12310e17 1.22474e17i 0.287899 0.166079i
\(77\) 5.69864e17i 0.682510i
\(78\) 3.24320e17 1.18938e18i 0.343617 1.26015i
\(79\) 3.85286e17i 0.361681i −0.983512 0.180841i \(-0.942118\pi\)
0.983512 0.180841i \(-0.0578818\pi\)
\(80\) 1.43568e18 + 8.30285e17i 1.19592 + 0.691628i
\(81\) 6.95110e17 1.15828e18i 0.514572 0.857447i
\(82\) −1.16729e18 + 2.02096e18i −0.769037 + 1.33145i
\(83\) 5.19612e17 0.305096 0.152548 0.988296i \(-0.451252\pi\)
0.152548 + 0.988296i \(0.451252\pi\)
\(84\) −1.16860e18 1.17938e18i −0.612369 0.618018i
\(85\) 1.21653e18 0.569698
\(86\) −2.11662e18 + 3.66455e18i −0.886966 + 1.53563i
\(87\) −7.88170e17 + 2.07622e17i −0.295929 + 0.0779545i
\(88\) −1.27095e15 + 2.32897e18i −0.000428099 + 0.784473i
\(89\) 5.87080e17i 0.177620i 0.996049 + 0.0888100i \(0.0283064\pi\)
−0.996049 + 0.0888100i \(0.971694\pi\)
\(90\) 4.38533e16 5.07742e18i 0.0119316 1.38146i
\(91\) 4.63894e18i 1.13639i
\(92\) −2.21796e18 3.84484e18i −0.489743 0.848974i
\(93\) 4.65316e18 1.22575e18i 0.927171 0.244239i
\(94\) 7.00042e18 + 4.04339e18i 1.26011 + 0.727832i
\(95\) −2.82064e18 −0.459171
\(96\) 4.77331e18 + 4.82260e18i 0.703465 + 0.710730i
\(97\) −4.81674e18 −0.643312 −0.321656 0.946857i \(-0.604239\pi\)
−0.321656 + 0.946857i \(0.604239\pi\)
\(98\) −1.73718e18 1.00338e18i −0.210473 0.121568i
\(99\) 6.20501e18 3.51285e18i 0.682666 0.386479i
\(100\) −4.54005e18 7.87022e18i −0.454005 0.787022i
\(101\) 1.16906e19i 1.06362i 0.846865 + 0.531808i \(0.178487\pi\)
−0.846865 + 0.531808i \(0.821513\pi\)
\(102\) 4.80194e18 + 1.30940e18i 0.397846 + 0.108485i
\(103\) 6.61019e18i 0.499184i 0.968351 + 0.249592i \(0.0802965\pi\)
−0.968351 + 0.249592i \(0.919704\pi\)
\(104\) 1.03461e16 1.89588e19i 0.000712789 1.30615i
\(105\) 4.86711e18 + 1.84764e19i 0.306177 + 1.16230i
\(106\) −1.14999e19 + 1.99100e19i −0.661130 + 1.14463i
\(107\) 2.38534e19 1.25431 0.627156 0.778894i \(-0.284219\pi\)
0.627156 + 0.778894i \(0.284219\pi\)
\(108\) 5.63810e18 1.99945e19i 0.271398 0.962467i
\(109\) −2.10391e19 −0.927843 −0.463922 0.885876i \(-0.653558\pi\)
−0.463922 + 0.885876i \(0.653558\pi\)
\(110\) 1.34051e19 2.32086e19i 0.542051 0.938466i
\(111\) −1.19191e19 4.52471e19i −0.442259 1.67889i
\(112\) −2.21029e19 1.27826e19i −0.753146 0.435560i
\(113\) 5.52487e18i 0.173012i 0.996251 + 0.0865062i \(0.0275702\pi\)
−0.996251 + 0.0865062i \(0.972430\pi\)
\(114\) −1.11337e19 3.03595e18i −0.320660 0.0874378i
\(115\) 5.10808e19i 1.35403i
\(116\) −1.08575e19 + 6.26329e18i −0.265080 + 0.152915i
\(117\) −5.05115e19 + 2.85962e19i −1.13664 + 0.643490i
\(118\) −9.98411e18 5.76675e18i −0.207219 0.119688i
\(119\) −1.87291e19 −0.358773
\(120\) −1.98501e19 7.55216e19i −0.351189 1.33613i
\(121\) −2.35219e19 −0.384602
\(122\) −8.80858e19 5.08777e19i −1.33195 0.769324i
\(123\) 1.06260e20 2.79914e19i 1.48687 0.391675i
\(124\) 6.40997e19 3.69769e19i 0.830520 0.479098i
\(125\) 1.05202e19i 0.126293i
\(126\) −6.75141e17 + 7.81691e19i −0.00751405 + 0.869991i
\(127\) 2.52149e19i 0.260328i 0.991492 + 0.130164i \(0.0415504\pi\)
−0.991492 + 0.130164i \(0.958450\pi\)
\(128\) 9.03037e19 + 5.22903e19i 0.865388 + 0.501102i
\(129\) 1.92679e20 5.07561e19i 1.71487 0.451737i
\(130\) −1.09124e20 + 1.88928e20i −0.902520 + 1.56255i
\(131\) 4.85842e18 0.0373610 0.0186805 0.999826i \(-0.494053\pi\)
0.0186805 + 0.999826i \(0.494053\pi\)
\(132\) 7.78933e19 7.71813e19i 0.557247 0.552154i
\(133\) 4.34250e19 0.289168
\(134\) 1.21863e19 2.10984e19i 0.0755747 0.130844i
\(135\) −1.71179e20 + 1.66891e20i −0.989189 + 0.964411i
\(136\) 7.65435e19 + 4.17710e16i 0.412372 + 0.000225038i
\(137\) 1.97695e20i 0.993459i 0.867905 + 0.496730i \(0.165466\pi\)
−0.867905 + 0.496730i \(0.834534\pi\)
\(138\) −5.49799e19 + 2.01628e20i −0.257842 + 0.945581i
\(139\) 2.08327e20i 0.912232i −0.889920 0.456116i \(-0.849240\pi\)
0.889920 0.456116i \(-0.150760\pi\)
\(140\) 1.46825e20 + 2.54522e20i 0.600596 + 1.04114i
\(141\) −9.69599e19 3.68076e20i −0.370690 1.40720i
\(142\) 4.04690e20 + 2.33746e20i 1.44672 + 0.835613i
\(143\) −3.06383e20 −1.02464
\(144\) 2.93356e18 3.19467e20i 0.00918230 0.999958i
\(145\) 1.44247e20 0.422777
\(146\) 4.01548e20 + 2.31931e20i 1.10252 + 0.636806i
\(147\) 2.40609e19 + 9.13394e19i 0.0619153 + 0.235041i
\(148\) −3.59561e20 6.23302e20i −0.867535 1.50388i
\(149\) 4.55678e20i 1.03131i −0.856797 0.515654i \(-0.827549\pi\)
0.856797 0.515654i \(-0.172451\pi\)
\(150\) −1.12541e20 + 4.12722e20i −0.239026 + 0.876579i
\(151\) 2.62843e20i 0.524102i −0.965054 0.262051i \(-0.915601\pi\)
0.965054 0.262051i \(-0.0843989\pi\)
\(152\) −1.77473e20 9.68499e16i −0.332367 0.000181378i
\(153\) −1.15453e20 2.03933e20i −0.203159 0.358855i
\(154\) −2.06378e20 + 3.57307e20i −0.341363 + 0.591009i
\(155\) −8.51599e20 −1.32460
\(156\) −6.34086e20 + 6.28290e20i −0.927822 + 0.919341i
\(157\) 5.08575e19 0.0700340 0.0350170 0.999387i \(-0.488851\pi\)
0.0350170 + 0.999387i \(0.488851\pi\)
\(158\) −1.39532e20 + 2.41576e20i −0.180897 + 0.313192i
\(159\) 1.04685e21 2.75765e20i 1.27824 0.336718i
\(160\) −5.99488e20 1.04053e21i −0.689669 1.19705i
\(161\) 7.86410e20i 0.852714i
\(162\) −8.55312e20 + 4.74512e20i −0.874444 + 0.485126i
\(163\) 2.77484e20i 0.267581i 0.991010 + 0.133791i \(0.0427150\pi\)
−0.991010 + 0.133791i \(0.957285\pi\)
\(164\) 1.46379e21 8.44409e20i 1.33187 0.768310i
\(165\) −1.22029e21 + 3.21453e20i −1.04801 + 0.276070i
\(166\) −3.25798e20 1.88179e20i −0.264193 0.152596i
\(167\) 1.23716e21 0.947591 0.473795 0.880635i \(-0.342884\pi\)
0.473795 + 0.880635i \(0.342884\pi\)
\(168\) 3.05601e20 + 1.16269e21i 0.221165 + 0.841443i
\(169\) 1.03217e21 0.706040
\(170\) −7.62771e20 4.40571e20i −0.493321 0.284939i
\(171\) 2.67688e20 + 4.72837e20i 0.163744 + 0.289233i
\(172\) 2.65425e21 1.53115e21i 1.53611 0.886128i
\(173\) 1.51477e21i 0.829676i 0.909895 + 0.414838i \(0.136162\pi\)
−0.909895 + 0.414838i \(0.863838\pi\)
\(174\) 5.69376e20 + 1.55258e20i 0.295244 + 0.0805074i
\(175\) 1.60975e21i 0.790489i
\(176\) 8.44239e20 1.45981e21i 0.392731 0.679088i
\(177\) 1.38286e20 + 5.24956e20i 0.0609581 + 0.231407i
\(178\) 2.12613e20 3.68101e20i 0.0888380 0.153807i
\(179\) −4.46600e21 −1.76935 −0.884677 0.466204i \(-0.845621\pi\)
−0.884677 + 0.466204i \(0.845621\pi\)
\(180\) −1.86630e21 + 3.16768e21i −0.701281 + 1.19029i
\(181\) −1.81092e21 −0.645584 −0.322792 0.946470i \(-0.604621\pi\)
−0.322792 + 0.946470i \(0.604621\pi\)
\(182\) 1.68001e21 2.90863e21i 0.568372 0.984035i
\(183\) 1.22004e21 + 4.63148e21i 0.391822 + 1.48742i
\(184\) −1.75391e18 + 3.21397e21i −0.000534859 + 0.980104i
\(185\) 8.28090e21i 2.39854i
\(186\) −3.36146e21 9.16604e20i −0.925027 0.252237i
\(187\) 1.23698e21i 0.323495i
\(188\) −2.92496e21 5.07044e21i −0.727145 1.26051i
\(189\) 2.63537e21 2.56936e21i 0.622952 0.607348i
\(190\) 1.76855e21 + 1.02150e21i 0.397612 + 0.229658i
\(191\) 2.32113e21 0.496458 0.248229 0.968701i \(-0.420151\pi\)
0.248229 + 0.968701i \(0.420151\pi\)
\(192\) −1.24636e21 4.75245e21i −0.253678 0.967289i
\(193\) 5.70036e21 1.10435 0.552177 0.833727i \(-0.313797\pi\)
0.552177 + 0.833727i \(0.313797\pi\)
\(194\) 3.02011e21 + 1.74440e21i 0.557066 + 0.321757i
\(195\) 9.93369e21 2.61677e21i 1.74495 0.459659i
\(196\) 7.25840e20 + 1.25825e21i 0.121453 + 0.210540i
\(197\) 1.65420e20i 0.0263729i 0.999913 + 0.0131865i \(0.00419751\pi\)
−0.999913 + 0.0131865i \(0.995802\pi\)
\(198\) −5.16275e21 4.45903e19i −0.784444 0.00677519i
\(199\) 4.74956e21i 0.687938i 0.938981 + 0.343969i \(0.111771\pi\)
−0.938981 + 0.343969i \(0.888229\pi\)
\(200\) −3.59018e18 + 6.57885e21i −0.000495828 + 0.908583i
\(201\) −1.10934e21 + 2.92226e20i −0.146117 + 0.0384907i
\(202\) 4.23379e21 7.33006e21i 0.531975 0.921021i
\(203\) −2.22074e21 −0.266248
\(204\) −2.53663e21 2.56003e21i −0.290249 0.292926i
\(205\) −1.94472e22 −2.12420
\(206\) 2.39390e21 4.14461e21i 0.249670 0.432260i
\(207\) 8.56290e21 4.84773e21i 0.852908 0.482858i
\(208\) −6.87248e21 + 1.18835e22i −0.653900 + 1.13069i
\(209\) 2.86805e21i 0.260733i
\(210\) 3.63957e21 1.33474e22i 0.316204 1.15961i
\(211\) 6.49571e21i 0.539440i 0.962939 + 0.269720i \(0.0869312\pi\)
−0.962939 + 0.269720i \(0.913069\pi\)
\(212\) 1.44209e22 8.31892e21i 1.14499 0.660506i
\(213\) −5.60519e21 2.12783e22i −0.425583 1.61559i
\(214\) −1.49562e22 8.63859e21i −1.08615 0.627353i
\(215\) −3.52632e22 −2.44994
\(216\) −1.07762e22 + 1.04948e22i −0.716398 + 0.697692i
\(217\) 1.31107e22 0.834179
\(218\) 1.31916e22 + 7.61935e21i 0.803451 + 0.464068i
\(219\) −5.56167e21 2.11130e22i −0.324329 1.23121i
\(220\) −1.68101e22 + 9.69718e21i −0.938762 + 0.541539i
\(221\) 1.00695e22i 0.538621i
\(222\) −8.91301e21 + 3.26866e22i −0.456742 + 1.67501i
\(223\) 1.44958e22i 0.711782i −0.934527 0.355891i \(-0.884177\pi\)
0.934527 0.355891i \(-0.115823\pi\)
\(224\) 9.22937e21 + 1.60194e22i 0.434326 + 0.753858i
\(225\) 1.75279e22 9.92307e21i 0.790669 0.447623i
\(226\) 2.00085e21 3.46412e21i 0.0865334 0.149817i
\(227\) −1.32786e21 −0.0550690 −0.0275345 0.999621i \(-0.508766\pi\)
−0.0275345 + 0.999621i \(0.508766\pi\)
\(228\) 5.88141e21 + 5.93567e21i 0.233938 + 0.236096i
\(229\) 3.03677e21 0.115871 0.0579355 0.998320i \(-0.481548\pi\)
0.0579355 + 0.998320i \(0.481548\pi\)
\(230\) 1.84990e22 3.20278e22i 0.677228 1.17250i
\(231\) 1.87869e22 4.94890e21i 0.659995 0.173858i
\(232\) 9.07593e21 + 4.95288e18i 0.306024 + 0.000167002i
\(233\) 3.64878e22i 1.18105i −0.807021 0.590523i \(-0.798922\pi\)
0.807021 0.590523i \(-0.201078\pi\)
\(234\) 4.20271e22 + 3.62985e20i 1.30611 + 0.0112807i
\(235\) 6.73635e22i 2.01039i
\(236\) 4.17163e21 + 7.23155e21i 0.119575 + 0.207285i
\(237\) 1.27018e22 3.34596e21i 0.349750 0.0921322i
\(238\) 1.17432e22 + 6.78278e21i 0.310674 + 0.179443i
\(239\) −4.25450e22 −1.08160 −0.540802 0.841150i \(-0.681879\pi\)
−0.540802 + 0.841150i \(0.681879\pi\)
\(240\) −1.49043e22 + 5.45411e22i −0.364170 + 1.33265i
\(241\) −9.59890e20 −0.0225455 −0.0112727 0.999936i \(-0.503588\pi\)
−0.0112727 + 0.999936i \(0.503588\pi\)
\(242\) 1.47483e22 + 8.51852e21i 0.333040 + 0.192361i
\(243\) 4.42221e22 + 1.28570e22i 0.960240 + 0.279177i
\(244\) 3.68046e22 + 6.38010e22i 0.768597 + 1.33237i
\(245\) 1.67165e22i 0.335790i
\(246\) −7.67626e22 2.09317e22i −1.48343 0.404502i
\(247\) 2.33472e22i 0.434123i
\(248\) −5.35820e22 2.92406e19i −0.958801 0.000523233i
\(249\) 4.51249e21 + 1.71302e22i 0.0777182 + 0.295032i
\(250\) −3.80993e21 + 6.59622e21i −0.0631665 + 0.109362i
\(251\) −3.38557e21 −0.0540420 −0.0270210 0.999635i \(-0.508602\pi\)
−0.0270210 + 0.999635i \(0.508602\pi\)
\(252\) 2.87325e22 4.87678e22i 0.441639 0.749597i
\(253\) 5.19392e22 0.768866
\(254\) 9.13164e21 1.58098e22i 0.130205 0.225427i
\(255\) 1.05648e22 + 4.01058e22i 0.145121 + 0.550904i
\(256\) −3.76837e22 6.54899e22i −0.498739 0.866752i
\(257\) 7.02315e22i 0.895709i 0.894106 + 0.447855i \(0.147812\pi\)
−0.894106 + 0.447855i \(0.852188\pi\)
\(258\) −1.39192e23 3.79549e22i −1.71091 0.466531i
\(259\) 1.27488e23i 1.51050i
\(260\) 1.36842e23 7.89393e22i 1.56305 0.901668i
\(261\) −1.36895e22 2.41808e22i −0.150766 0.266309i
\(262\) −3.04625e21 1.75949e21i −0.0323521 0.0186864i
\(263\) −1.72716e22 −0.176910 −0.0884550 0.996080i \(-0.528193\pi\)
−0.0884550 + 0.996080i \(0.528193\pi\)
\(264\) −7.67908e22 + 2.01837e22i −0.758703 + 0.199418i
\(265\) −1.91589e23 −1.82615
\(266\) −2.72276e22 1.57265e22i −0.250400 0.144629i
\(267\) −1.93544e22 + 5.09841e21i −0.171761 + 0.0452458i
\(268\) −1.52817e22 + 8.81549e21i −0.130886 + 0.0755033i
\(269\) 2.17708e23i 1.79981i 0.436085 + 0.899906i \(0.356365\pi\)
−0.436085 + 0.899906i \(0.643635\pi\)
\(270\) 1.67770e23 4.26484e22i 1.33893 0.340367i
\(271\) 5.80631e22i 0.447396i −0.974658 0.223698i \(-0.928187\pi\)
0.974658 0.223698i \(-0.0718130\pi\)
\(272\) −4.79779e22 2.77466e22i −0.356974 0.206446i
\(273\) −1.52933e23 + 4.02862e22i −1.09890 + 0.289475i
\(274\) 7.15957e22 1.23955e23i 0.496886 0.860271i
\(275\) 1.06317e23 0.712759
\(276\) 1.07493e23 1.06510e23i 0.696213 0.689849i
\(277\) 7.54557e22 0.472209 0.236104 0.971728i \(-0.424129\pi\)
0.236104 + 0.971728i \(0.424129\pi\)
\(278\) −7.54463e22 + 1.30622e23i −0.456260 + 0.789933i
\(279\) 8.08194e22 + 1.42757e23i 0.472363 + 0.834369i
\(280\) 1.16106e20 2.12759e23i 0.000655923 1.20195i
\(281\) 1.06002e23i 0.578898i −0.957193 0.289449i \(-0.906528\pi\)
0.957193 0.289449i \(-0.0934721\pi\)
\(282\) −7.25056e22 + 2.65899e23i −0.382829 + 1.40395i
\(283\) 1.95713e23i 0.999193i 0.866258 + 0.499597i \(0.166518\pi\)
−0.866258 + 0.499597i \(0.833482\pi\)
\(284\) −1.69090e23 2.93119e23i −0.834824 1.44717i
\(285\) −2.44955e22 9.29891e22i −0.116966 0.444023i
\(286\) 1.92103e23 + 1.10958e23i 0.887274 + 0.512483i
\(287\) 2.99398e23 1.33774
\(288\) −1.17535e23 + 1.99244e23i −0.508088 + 0.861305i
\(289\) 1.98418e23 0.829950
\(290\) −9.04434e22 5.22395e22i −0.366097 0.211455i
\(291\) −4.18303e22 1.58795e23i −0.163873 0.622090i
\(292\) −1.67777e23 2.90843e23i −0.636204 1.10286i
\(293\) 2.98417e23i 1.09542i 0.836667 + 0.547711i \(0.184501\pi\)
−0.836667 + 0.547711i \(0.815499\pi\)
\(294\) 1.79925e22 6.59839e22i 0.0639429 0.234497i
\(295\) 9.60749e22i 0.330598i
\(296\) −2.84334e20 + 5.21029e23i −0.000947452 + 1.73616i
\(297\) 1.69696e23 + 1.74056e23i 0.547627 + 0.561696i
\(298\) −1.65025e23 + 2.85712e23i −0.515816 + 0.893045i
\(299\) −4.22808e23 −1.28017
\(300\) 2.20032e23 2.18021e23i 0.645408 0.639509i
\(301\) 5.42891e23 1.54288
\(302\) −9.51895e22 + 1.64804e23i −0.262134 + 0.453838i
\(303\) −3.85408e23 + 1.01526e23i −1.02853 + 0.270938i
\(304\) 1.11241e23 + 6.43331e22i 0.287718 + 0.166393i
\(305\) 8.47631e23i 2.12500i
\(306\) −1.46550e21 + 1.69678e23i −0.00356149 + 0.412356i
\(307\) 2.76677e22i 0.0651865i 0.999469 + 0.0325933i \(0.0103766\pi\)
−0.999469 + 0.0325933i \(0.989623\pi\)
\(308\) 2.58799e23 1.49292e23i 0.591195 0.341040i
\(309\) −2.17920e23 + 5.74053e22i −0.482716 + 0.127159i
\(310\) 5.33956e23 + 3.08409e23i 1.14701 + 0.662507i
\(311\) 4.35466e23 0.907257 0.453629 0.891191i \(-0.350129\pi\)
0.453629 + 0.891191i \(0.350129\pi\)
\(312\) 6.25111e23 1.64304e23i 1.26325 0.332032i
\(313\) −6.14322e23 −1.20427 −0.602136 0.798394i \(-0.705684\pi\)
−0.602136 + 0.798394i \(0.705684\pi\)
\(314\) −3.18879e22 1.84182e22i −0.0606448 0.0350280i
\(315\) −5.66848e23 + 3.20911e23i −1.04596 + 0.592153i
\(316\) 1.74975e23 1.00937e23i 0.313291 0.180727i
\(317\) 6.83587e23i 1.18777i −0.804552 0.593883i \(-0.797594\pi\)
0.804552 0.593883i \(-0.202406\pi\)
\(318\) −7.56248e23 2.06214e23i −1.27528 0.347745i
\(319\) 1.46671e23i 0.240068i
\(320\) −9.49023e20 + 8.69521e23i −0.00150783 + 1.38151i
\(321\) 2.07152e23 + 7.86384e23i 0.319515 + 1.21293i
\(322\) −2.84801e23 + 4.93082e23i −0.426491 + 0.738394i
\(323\) 9.42608e22 0.137059
\(324\) 7.08130e23 + 1.22330e22i 0.999851 + 0.0172726i
\(325\) −8.65469e23 −1.18675
\(326\) 1.00492e23 1.73983e23i 0.133833 0.231708i
\(327\) −1.82711e23 6.93601e23i −0.236353 0.897235i
\(328\) −1.22361e24 6.67741e20i −1.53759 0.000839086i
\(329\) 1.03709e24i 1.26606i
\(330\) 8.81541e23 + 2.40379e23i 1.04559 + 0.285111i
\(331\) 9.56991e23i 1.10291i −0.834203 0.551457i \(-0.814072\pi\)
0.834203 0.551457i \(-0.185928\pi\)
\(332\) 1.36127e23 + 2.35978e23i 0.152452 + 0.264277i
\(333\) 1.38816e24 7.85884e23i 1.51085 0.855339i
\(334\) −7.75706e23 4.48042e23i −0.820551 0.473945i
\(335\) 2.03026e23 0.208749
\(336\) 2.29458e23 8.39683e23i 0.229340 0.839252i
\(337\) 5.34847e23 0.519691 0.259846 0.965650i \(-0.416328\pi\)
0.259846 + 0.965650i \(0.416328\pi\)
\(338\) −6.47177e23 3.73805e23i −0.611384 0.353131i
\(339\) −1.82140e23 + 4.79800e22i −0.167305 + 0.0440720i
\(340\) 3.18706e23 + 5.52479e23i 0.284669 + 0.493476i
\(341\) 8.65911e23i 0.752154i
\(342\) 3.39789e21 3.93414e23i 0.00287053 0.332355i
\(343\) 1.31618e24i 1.08149i
\(344\) −2.21873e24 1.21080e21i −1.77337 0.000967758i
\(345\) −1.68400e24 + 4.43604e23i −1.30936 + 0.344916i
\(346\) 5.48578e23 9.49766e23i 0.414969 0.718445i
\(347\) 1.49483e24 1.10018 0.550088 0.835107i \(-0.314594\pi\)
0.550088 + 0.835107i \(0.314594\pi\)
\(348\) −3.00774e23 3.03548e23i −0.215396 0.217383i
\(349\) −7.46316e23 −0.520093 −0.260046 0.965596i \(-0.583738\pi\)
−0.260046 + 0.965596i \(0.583738\pi\)
\(350\) −5.82974e23 + 1.00932e24i −0.395369 + 0.684512i
\(351\) −1.38140e24 1.41689e24i −0.911804 0.935229i
\(352\) −1.05802e24 + 6.09563e23i −0.679730 + 0.391619i
\(353\) 7.74215e22i 0.0484174i −0.999707 0.0242087i \(-0.992293\pi\)
0.999707 0.0242087i \(-0.00770663\pi\)
\(354\) 1.03409e23 3.79230e23i 0.0629544 0.230872i
\(355\) 3.89425e24i 2.30810i
\(356\) −2.66618e23 + 1.53802e23i −0.153856 + 0.0887541i
\(357\) −1.62650e23 6.17447e23i −0.0913915 0.346938i
\(358\) 2.80020e24 + 1.61737e24i 1.53214 + 0.884956i
\(359\) 8.28819e23 0.441634 0.220817 0.975315i \(-0.429128\pi\)
0.220817 + 0.975315i \(0.429128\pi\)
\(360\) 2.31736e24 1.31026e24i 1.20260 0.679961i
\(361\) 1.75987e24 0.889532
\(362\) 1.13545e24 + 6.55830e23i 0.559033 + 0.322894i
\(363\) −2.04273e23 7.75453e23i −0.0979709 0.371914i
\(364\) −2.10674e24 + 1.21530e24i −0.984345 + 0.567835i
\(365\) 3.86401e24i 1.75896i
\(366\) 9.12333e23 3.34579e24i 0.404653 1.48398i
\(367\) 1.37252e24i 0.593187i −0.955004 0.296593i \(-0.904149\pi\)
0.955004 0.296593i \(-0.0958506\pi\)
\(368\) 1.16505e24 2.01453e24i 0.490670 0.848439i
\(369\) 1.84560e24 + 3.26002e24i 0.757509 + 1.33804i
\(370\) 2.99895e24 5.19215e24i 1.19965 2.07697i
\(371\) 2.94960e24 1.15004
\(372\) 1.77569e24 + 1.79207e24i 0.674855 + 0.681080i
\(373\) 5.37203e23 0.199024 0.0995119 0.995036i \(-0.468272\pi\)
0.0995119 + 0.995036i \(0.468272\pi\)
\(374\) −4.47975e23 + 7.75590e23i −0.161798 + 0.280125i
\(375\) 3.46824e23 9.13615e22i 0.122127 0.0321711i
\(376\) −2.31300e21 + 4.23847e24i −0.000794129 + 1.45521i
\(377\) 1.19397e24i 0.399714i
\(378\) −2.58289e24 + 6.56591e23i −0.843205 + 0.214350i
\(379\) 2.08403e24i 0.663486i −0.943370 0.331743i \(-0.892363\pi\)
0.943370 0.331743i \(-0.107637\pi\)
\(380\) −7.38949e23 1.28097e24i −0.229441 0.397737i
\(381\) −8.31267e23 + 2.18975e23i −0.251740 + 0.0663143i
\(382\) −1.45536e24 8.40604e23i −0.429900 0.248307i
\(383\) −4.59459e24 −1.32391 −0.661954 0.749544i \(-0.730273\pi\)
−0.661954 + 0.749544i \(0.730273\pi\)
\(384\) −9.39641e23 + 3.43118e24i −0.264128 + 0.964488i
\(385\) −3.43828e24 −0.942898
\(386\) −3.57415e24 2.06440e24i −0.956298 0.552351i
\(387\) 3.34658e24 + 5.91132e24i 0.873670 + 1.54323i
\(388\) −1.26188e24 2.18748e24i −0.321453 0.557242i
\(389\) 5.04660e24i 1.25452i −0.778810 0.627260i \(-0.784176\pi\)
0.778810 0.627260i \(-0.215824\pi\)
\(390\) −7.17613e24 1.95679e24i −1.74091 0.474713i
\(391\) 1.70703e24i 0.404167i
\(392\) 5.73979e20 1.05179e24i 0.000132641 0.243059i
\(393\) 4.21923e22 + 1.60169e23i 0.00951708 + 0.0361285i
\(394\) 5.99073e22 1.03719e23i 0.0131906 0.0228372i
\(395\) −2.32463e24 −0.499668
\(396\) 3.22091e24 + 1.89766e24i 0.675888 + 0.398212i
\(397\) −3.07711e24 −0.630425 −0.315212 0.949021i \(-0.602076\pi\)
−0.315212 + 0.949021i \(0.602076\pi\)
\(398\) 1.72007e24 2.97799e24i 0.344077 0.595709i
\(399\) 3.77119e23 + 1.43161e24i 0.0736606 + 0.279628i
\(400\) 2.38480e24 4.12366e24i 0.454864 0.786526i
\(401\) 2.69344e24i 0.501690i −0.968027 0.250845i \(-0.919292\pi\)
0.968027 0.250845i \(-0.0807085\pi\)
\(402\) 8.01389e23 + 2.18523e23i 0.145779 + 0.0397512i
\(403\) 7.04889e24i 1.25234i
\(404\) −5.30920e24 + 3.06270e24i −0.921311 + 0.531473i
\(405\) −6.98853e24 4.19396e24i −1.18458 0.710889i
\(406\) 1.39241e24 + 8.04249e23i 0.230553 + 0.133166i
\(407\) 8.42007e24 1.36197
\(408\) 6.63354e23 + 2.52380e24i 0.104827 + 0.398825i
\(409\) 7.85283e24 1.21243 0.606213 0.795303i \(-0.292688\pi\)
0.606213 + 0.795303i \(0.292688\pi\)
\(410\) 1.21935e25 + 7.04286e24i 1.83942 + 1.06244i
\(411\) −6.51747e24 + 1.71685e24i −0.960686 + 0.253067i
\(412\) −3.00197e24 + 1.73173e24i −0.432397 + 0.249435i
\(413\) 1.47911e24i 0.208198i
\(414\) −7.12458e24 6.15345e22i −0.980068 0.00846478i
\(415\) 3.13509e24i 0.421495i
\(416\) 8.61271e24 4.96211e24i 1.13176 0.652048i
\(417\) 6.86799e24 1.80919e24i 0.882139 0.232376i
\(418\) 1.03867e24 1.79828e24i 0.130408 0.225778i
\(419\) −1.00630e25 −1.23508 −0.617541 0.786539i \(-0.711871\pi\)
−0.617541 + 0.786539i \(0.711871\pi\)
\(420\) −7.11581e24 + 7.05077e24i −0.853800 + 0.845996i
\(421\) 2.69557e24 0.316207 0.158103 0.987423i \(-0.449462\pi\)
0.158103 + 0.987423i \(0.449462\pi\)
\(422\) 2.35244e24 4.07283e24i 0.269805 0.467120i
\(423\) 1.12924e25 6.39301e24i 1.26635 0.716922i
\(424\) −1.20547e25 6.57843e21i −1.32184 0.000721351i
\(425\) 3.49421e24i 0.374674i
\(426\) −4.19151e24 + 1.53715e25i −0.439520 + 1.61185i
\(427\) 1.30496e25i 1.33824i
\(428\) 6.24910e24 + 1.08329e25i 0.626760 + 1.08649i
\(429\) −2.66074e24 1.01006e25i −0.261011 0.990842i
\(430\) 2.21101e25 + 1.27706e25i 2.12149 + 1.22536i
\(431\) −1.92885e25 −1.81036 −0.905178 0.425032i \(-0.860263\pi\)
−0.905178 + 0.425032i \(0.860263\pi\)
\(432\) 1.05574e25 2.67765e24i 0.969310 0.245843i
\(433\) 5.88088e24 0.528211 0.264105 0.964494i \(-0.414923\pi\)
0.264105 + 0.964494i \(0.414923\pi\)
\(434\) −8.22047e24 4.74809e24i −0.722345 0.417221i
\(435\) 1.25269e24 + 4.75544e24i 0.107695 + 0.408830i
\(436\) −5.51179e24 9.55472e24i −0.463629 0.803705i
\(437\) 3.95790e24i 0.325755i
\(438\) −4.15896e24 + 1.52521e25i −0.334951 + 1.22836i
\(439\) 9.98082e24i 0.786599i −0.919410 0.393299i \(-0.871334\pi\)
0.919410 0.393299i \(-0.128666\pi\)
\(440\) 1.40519e25 + 7.66833e21i 1.08376 + 0.000591426i
\(441\) −2.80226e24 + 1.58645e24i −0.211515 + 0.119746i
\(442\) 3.64671e24 6.31364e24i 0.269395 0.466411i
\(443\) −2.66564e25 −1.92737 −0.963687 0.267036i \(-0.913956\pi\)
−0.963687 + 0.267036i \(0.913956\pi\)
\(444\) 1.74260e25 1.72668e25i 1.23328 1.22200i
\(445\) 3.54216e24 0.245385
\(446\) −5.24971e24 + 9.08894e24i −0.356003 + 0.616357i
\(447\) 1.50225e25 3.95727e24i 0.997286 0.262709i
\(448\) 1.46106e22 1.33866e25i 0.000949571 0.870023i
\(449\) 1.37130e25i 0.872551i 0.899813 + 0.436275i \(0.143703\pi\)
−0.899813 + 0.436275i \(0.856297\pi\)
\(450\) −1.45837e25 1.25958e23i −0.908550 0.00784708i
\(451\) 1.97740e25i 1.20620i
\(452\) −2.50908e24 + 1.44740e24i −0.149865 + 0.0864517i
\(453\) 8.66524e24 2.28263e24i 0.506813 0.133506i
\(454\) 8.32575e23 + 4.80889e23i 0.0476862 + 0.0275432i
\(455\) 2.79891e25 1.56993
\(456\) −1.53805e24 5.85165e24i −0.0844897 0.321449i
\(457\) −9.56889e24 −0.514822 −0.257411 0.966302i \(-0.582869\pi\)
−0.257411 + 0.966302i \(0.582869\pi\)
\(458\) −1.90407e24 1.09977e24i −0.100337 0.0579538i
\(459\) 5.72049e24 5.57720e24i 0.295265 0.287869i
\(460\) −2.31979e25 + 1.33821e25i −1.17287 + 0.676588i
\(461\) 2.80198e24i 0.138773i 0.997590 + 0.0693866i \(0.0221042\pi\)
−0.997590 + 0.0693866i \(0.977896\pi\)
\(462\) −1.35717e25 3.70074e24i −0.658469 0.179552i
\(463\) 8.89708e24i 0.422891i −0.977390 0.211445i \(-0.932183\pi\)
0.977390 0.211445i \(-0.0678170\pi\)
\(464\) −5.68885e24 3.28998e24i −0.264913 0.153205i
\(465\) −7.39559e24 2.80749e25i −0.337419 1.28090i
\(466\) −1.32142e25 + 2.28780e25i −0.590709 + 1.02271i
\(467\) 3.53615e25 1.54889 0.774445 0.632641i \(-0.218029\pi\)
0.774445 + 0.632641i \(0.218029\pi\)
\(468\) −2.62197e25 1.54478e25i −1.12536 0.663027i
\(469\) −3.12567e24 −0.131462
\(470\) 2.43959e25 4.22372e25i 1.00551 1.74087i
\(471\) 4.41665e23 + 1.67664e24i 0.0178400 + 0.0677236i
\(472\) 3.29884e21 6.04497e24i 0.000130591 0.239301i
\(473\) 3.58558e25i 1.39116i
\(474\) −9.17585e24 2.50208e24i −0.348941 0.0951495i
\(475\) 8.10164e24i 0.301984i
\(476\) −4.90662e24 8.50565e24i −0.179273 0.310772i
\(477\) 1.81824e25 + 3.21170e25i 0.651220 + 1.15030i
\(478\) 2.66759e25 + 1.54078e25i 0.936599 + 0.540973i
\(479\) −2.52329e25 −0.868520 −0.434260 0.900788i \(-0.642990\pi\)
−0.434260 + 0.900788i \(0.642990\pi\)
\(480\) 2.90972e25 2.87998e25i 0.981884 0.971848i
\(481\) −6.85431e25 −2.26770
\(482\) 6.01854e23 + 3.47627e23i 0.0195229 + 0.0112763i
\(483\) 2.59258e25 6.82947e24i 0.824584 0.217215i
\(484\) −6.16224e24 1.06823e25i −0.192180 0.333145i
\(485\) 2.90619e25i 0.888745i
\(486\) −2.30712e25 2.40765e25i −0.691872 0.722020i
\(487\) 1.59916e25i 0.470292i −0.971960 0.235146i \(-0.924443\pi\)
0.971960 0.235146i \(-0.0755568\pi\)
\(488\) 2.91043e22 5.33324e25i 0.000839400 1.53816i
\(489\) −9.14790e24 + 2.40977e24i −0.258754 + 0.0681619i
\(490\) −6.05393e24 + 1.04813e25i −0.167948 + 0.290772i
\(491\) −4.71518e25 −1.28299 −0.641496 0.767126i \(-0.721686\pi\)
−0.641496 + 0.767126i \(0.721686\pi\)
\(492\) 4.05500e25 + 4.09240e25i 1.08224 + 1.09222i
\(493\) −4.82047e24 −0.126196
\(494\) −8.45524e24 + 1.46388e25i −0.217130 + 0.375922i
\(495\) −2.11949e25 3.74380e25i −0.533926 0.943113i
\(496\) 3.35855e25 + 1.94232e25i 0.829997 + 0.480004i
\(497\) 5.99536e25i 1.45355i
\(498\) 3.37440e24 1.23749e25i 0.0802634 0.294349i
\(499\) 5.58525e25i 1.30343i 0.758465 + 0.651714i \(0.225950\pi\)
−0.758465 + 0.651714i \(0.774050\pi\)
\(500\) 4.77768e24 2.75608e24i 0.109396 0.0631068i
\(501\) 1.07440e25 + 4.07860e25i 0.241383 + 0.916331i
\(502\) 2.12276e24 + 1.22609e24i 0.0467968 + 0.0270295i
\(503\) 2.39053e25 0.517128 0.258564 0.965994i \(-0.416751\pi\)
0.258564 + 0.965994i \(0.416751\pi\)
\(504\) −3.56767e25 + 2.01720e25i −0.757347 + 0.428213i
\(505\) 7.05356e25 1.46940
\(506\) −3.25661e25 1.88099e25i −0.665787 0.384554i
\(507\) 8.96377e24 + 3.40280e25i 0.179852 + 0.682749i
\(508\) −1.14511e25 + 6.60576e24i −0.225498 + 0.130082i
\(509\) 2.98436e25i 0.576809i −0.957509 0.288404i \(-0.906875\pi\)
0.957509 0.288404i \(-0.0931247\pi\)
\(510\) 7.90026e24 2.89726e25i 0.149874 0.549630i
\(511\) 5.94880e25i 1.10772i
\(512\) −8.95679e22 + 5.47097e25i −0.00163715 + 0.999999i
\(513\) −1.32635e25 + 1.29312e25i −0.237981 + 0.232020i
\(514\) 2.54345e25 4.40354e25i 0.447996 0.775626i
\(515\) 3.98827e25 0.689630
\(516\) 7.35283e25 + 7.42065e25i 1.24819 + 1.25971i
\(517\) 6.84956e25 1.14157
\(518\) −4.61701e25 + 7.99354e25i −0.755490 + 1.30800i
\(519\) −4.99379e25 + 1.31548e25i −0.802307 + 0.211346i
\(520\) −1.14388e26 6.24236e22i −1.80447 0.000984729i
\(521\) 1.19870e25i 0.185674i 0.995681 + 0.0928371i \(0.0295936\pi\)
−0.995681 + 0.0928371i \(0.970406\pi\)
\(522\) −1.73767e23 + 2.01191e25i −0.00264301 + 0.306012i
\(523\) 1.19159e26i 1.77976i 0.456196 + 0.889879i \(0.349211\pi\)
−0.456196 + 0.889879i \(0.650789\pi\)
\(524\) 1.27280e24 + 2.20641e24i 0.0186687 + 0.0323623i
\(525\) 5.30690e25 1.39796e25i 0.764412 0.201364i
\(526\) 1.08293e25 + 6.25495e24i 0.153192 + 0.0884828i
\(527\) 2.84589e25 0.395382
\(528\) 5.54577e25 + 1.51548e25i 0.756728 + 0.206789i
\(529\) −2.93948e24 −0.0393950
\(530\) 1.20127e26 + 6.93847e25i 1.58132 + 0.913361i
\(531\) −1.61055e25 + 9.11781e24i −0.208245 + 0.117894i
\(532\) 1.13764e25 + 1.97211e25i 0.144493 + 0.250479i
\(533\) 1.60969e26i 2.00833i
\(534\) 1.39817e25 + 3.81254e24i 0.171363 + 0.0467275i
\(535\) 1.43920e26i 1.73285i
\(536\) 1.27742e25 + 6.97111e21i 0.151102 + 8.24587e-5i
\(537\) −3.87843e25 1.47232e26i −0.450714 1.71099i
\(538\) 7.88434e25 1.36503e26i 0.900189 1.55852i
\(539\) −1.69974e25 −0.190673
\(540\) −1.20637e26 3.40176e25i −1.32966 0.374941i
\(541\) −6.50913e25 −0.704935 −0.352468 0.935824i \(-0.614657\pi\)
−0.352468 + 0.935824i \(0.614657\pi\)
\(542\) −2.10277e25 + 3.64058e25i −0.223769 + 0.387416i
\(543\) −1.57267e25 5.97011e25i −0.164452 0.624287i
\(544\) 2.00338e25 + 3.47726e25i 0.205861 + 0.357312i
\(545\) 1.26940e26i 1.28183i
\(546\) 1.10480e26 + 3.01256e25i 1.09636 + 0.298955i
\(547\) 9.42781e25i 0.919457i 0.888060 + 0.459728i \(0.152053\pi\)
−0.888060 + 0.459728i \(0.847947\pi\)
\(548\) −8.97816e25 + 5.17919e25i −0.860542 + 0.496417i
\(549\) −1.42092e26 + 8.04428e25i −1.33854 + 0.757792i
\(550\) −6.66613e25 3.85031e25i −0.617203 0.356492i
\(551\) 1.11767e25 0.101712
\(552\) −1.05971e26 + 2.78534e25i −0.947908 + 0.249148i
\(553\) 3.57887e25 0.314671
\(554\) −4.73110e25 2.73265e25i −0.408902 0.236179i
\(555\) −2.72999e26 + 7.19143e25i −2.31941 + 0.610987i
\(556\) 9.46101e25 5.45773e25i 0.790182 0.455829i
\(557\) 6.34096e25i 0.520632i −0.965523 0.260316i \(-0.916173\pi\)
0.965523 0.260316i \(-0.0838267\pi\)
\(558\) 1.02588e24 1.18778e26i 0.00828079 0.958765i
\(559\) 2.91882e26i 2.31630i
\(560\) −7.71240e25 + 1.33359e26i −0.601732 + 1.04048i
\(561\) 4.07799e25 1.07424e25i 0.312823 0.0824049i
\(562\) −3.83888e25 + 6.64634e25i −0.289540 + 0.501288i
\(563\) −4.70180e24 −0.0348686 −0.0174343 0.999848i \(-0.505550\pi\)
−0.0174343 + 0.999848i \(0.505550\pi\)
\(564\) 1.41757e26 1.40462e26i 1.03370 1.02425i
\(565\) 3.33344e25 0.239019
\(566\) 7.08782e25 1.22713e26i 0.499754 0.865236i
\(567\) 1.07591e26 + 6.45678e25i 0.745999 + 0.447690i
\(568\) −1.33713e23 + 2.45023e26i −0.000911727 + 1.67070i
\(569\) 6.74699e25i 0.452422i −0.974078 0.226211i \(-0.927366\pi\)
0.974078 0.226211i \(-0.0726339\pi\)
\(570\) −1.83175e25 + 6.71756e25i −0.120797 + 0.442996i
\(571\) 1.06285e26i 0.689336i −0.938725 0.344668i \(-0.887992\pi\)
0.938725 0.344668i \(-0.112008\pi\)
\(572\) −8.02659e25 1.39142e26i −0.511999 0.887554i
\(573\) 2.01575e25 + 7.65215e25i 0.126465 + 0.480081i
\(574\) −1.87724e26 1.08428e26i −1.15839 0.669080i
\(575\) 1.46717e26 0.890507
\(576\) 1.45852e26 8.23612e25i 0.870759 0.491710i
\(577\) −1.19359e26 −0.700946 −0.350473 0.936573i \(-0.613979\pi\)
−0.350473 + 0.936573i \(0.613979\pi\)
\(578\) −1.24409e26 7.18576e25i −0.718682 0.415106i
\(579\) 4.95040e25 + 1.87926e26i 0.281316 + 1.06792i
\(580\) 3.77897e25 + 6.55086e25i 0.211255 + 0.366212i
\(581\) 4.82660e25i 0.265441i
\(582\) −3.12803e25 + 1.14714e26i −0.169240 + 0.620651i
\(583\) 1.94809e26i 1.03695i
\(584\) −1.32675e23 + 2.43121e26i −0.000694811 + 1.27321i
\(585\) 1.72535e26 + 3.04762e26i 0.888992 + 1.57029i
\(586\) 1.08073e26 1.87109e26i 0.547884 0.948564i
\(587\) 2.51263e26 1.25333 0.626667 0.779287i \(-0.284419\pi\)
0.626667 + 0.779287i \(0.284419\pi\)
\(588\) −3.51776e25 + 3.48561e25i −0.172656 + 0.171078i
\(589\) −6.59845e25 −0.318674
\(590\) −3.47938e25 + 6.02393e25i −0.165351 + 0.286277i
\(591\) −5.45345e24 + 1.43657e24i −0.0255029 + 0.00671807i
\(592\) 1.88870e26 3.26584e26i 0.869176 1.50293i
\(593\) 4.91249e25i 0.222475i −0.993794 0.111238i \(-0.964519\pi\)
0.993794 0.111238i \(-0.0354815\pi\)
\(594\) −4.33652e25 1.70589e26i −0.193272 0.760292i
\(595\) 1.13002e26i 0.495650i
\(596\) 2.06942e26 1.19378e26i 0.893326 0.515329i
\(597\) −1.56580e26 + 4.12469e25i −0.665243 + 0.175241i
\(598\) 2.65102e26 + 1.53121e26i 1.10854 + 0.640286i
\(599\) 3.35125e26 1.37928 0.689640 0.724153i \(-0.257769\pi\)
0.689640 + 0.724153i \(0.257769\pi\)
\(600\) −2.16918e26 + 5.70147e25i −0.878737 + 0.230967i
\(601\) 3.49284e26 1.39274 0.696372 0.717681i \(-0.254796\pi\)
0.696372 + 0.717681i \(0.254796\pi\)
\(602\) −3.40395e26 1.96610e26i −1.33603 0.771681i
\(603\) −1.92678e25 3.40341e25i −0.0744419 0.131492i
\(604\) 1.19368e26 6.88594e25i 0.453981 0.261886i
\(605\) 1.41920e26i 0.531333i
\(606\) 2.78420e26 + 7.59198e25i 1.02615 + 0.279811i
\(607\) 1.56187e26i 0.566699i 0.959017 + 0.283350i \(0.0914457\pi\)
−0.959017 + 0.283350i \(0.908554\pi\)
\(608\) −4.64502e25 8.06234e25i −0.165922 0.287990i
\(609\) −1.92857e25 7.32120e25i −0.0678222 0.257465i
\(610\) −3.06972e26 + 5.31467e26i −1.06283 + 1.84011i
\(611\) −5.57585e26 −1.90072
\(612\) 6.23683e25 1.05858e26i 0.209327 0.355292i
\(613\) −7.13034e25 −0.235633 −0.117816 0.993035i \(-0.537589\pi\)
−0.117816 + 0.993035i \(0.537589\pi\)
\(614\) 1.00199e25 1.73477e25i 0.0326035 0.0564473i
\(615\) −1.68887e26 6.41122e26i −0.541105 2.05413i
\(616\) −2.16335e26 1.18057e23i −0.682510 0.000372457i
\(617\) 2.54485e26i 0.790593i 0.918554 + 0.395296i \(0.129358\pi\)
−0.918554 + 0.395296i \(0.870642\pi\)
\(618\) 1.57426e26 + 4.29271e25i 0.481600 + 0.131323i
\(619\) 6.00050e26i 1.80770i 0.427850 + 0.903850i \(0.359271\pi\)
−0.427850 + 0.903850i \(0.640729\pi\)
\(620\) −2.23101e26 3.86747e26i −0.661881 1.14738i
\(621\) 2.34180e26 + 2.40196e26i 0.684194 + 0.701772i
\(622\) −2.73039e26 1.57705e26i −0.785625 0.453772i
\(623\) −5.45330e25 −0.154534
\(624\) −4.51450e26 1.23366e26i −1.25996 0.344305i
\(625\) −3.94015e26 −1.08306
\(626\) 3.85182e26 + 2.22478e26i 1.04282 + 0.602326i
\(627\) −9.45518e25 + 2.49072e25i −0.252132 + 0.0664175i
\(628\) 1.33236e25 + 2.30965e25i 0.0349949 + 0.0606639i
\(629\) 2.76733e26i 0.715945i
\(630\) 4.71635e26 + 4.07348e24i 1.20191 + 0.0103808i
\(631\) 7.25074e26i 1.82014i −0.414460 0.910068i \(-0.636030\pi\)
0.414460 0.910068i \(-0.363970\pi\)
\(632\) −1.46264e26 7.98187e22i −0.361681 0.000197375i
\(633\) −2.14146e26 + 5.64111e25i −0.521645 + 0.137413i
\(634\) −2.47563e26 + 4.28611e26i −0.594070 + 1.02853i
\(635\) 1.52134e26 0.359648
\(636\) 3.99489e26 + 4.03174e26i 0.930384 + 0.938966i
\(637\) 1.38367e26 0.317473
\(638\) −5.31174e25 + 9.19634e25i −0.120072 + 0.207883i
\(639\) 6.52810e26 3.69576e26i 1.45388 0.823087i
\(640\) 3.15494e26 5.44849e26i 0.692280 1.19555i
\(641\) 1.46733e26i 0.317231i 0.987340 + 0.158615i \(0.0507030\pi\)
−0.987340 + 0.158615i \(0.949297\pi\)
\(642\) 1.54906e26 5.68086e26i 0.329979 1.21013i
\(643\) 3.48407e26i 0.731279i 0.930757 + 0.365640i \(0.119150\pi\)
−0.930757 + 0.365640i \(0.880850\pi\)
\(644\) 3.57142e26 2.06023e26i 0.738627 0.426088i
\(645\) −3.06238e26 1.16253e27i −0.624082 2.36912i
\(646\) −5.91019e25 3.41368e25i −0.118684 0.0685511i
\(647\) −2.18137e26 −0.431658 −0.215829 0.976431i \(-0.569245\pi\)
−0.215829 + 0.976431i \(0.569245\pi\)
\(648\) −4.39570e26 2.64121e26i −0.857166 0.515040i
\(649\) −9.76895e25 −0.187726
\(650\) 5.42652e26 + 3.13432e26i 1.02765 + 0.593562i
\(651\) 1.13858e26 + 4.32225e26i 0.212493 + 0.806661i
\(652\) −1.26017e26 + 7.26949e25i −0.231781 + 0.133706i
\(653\) 1.69551e26i 0.307345i −0.988122 0.153672i \(-0.950890\pi\)
0.988122 0.153672i \(-0.0491101\pi\)
\(654\) −1.36629e26 + 5.01060e26i −0.244093 + 0.895160i
\(655\) 2.93134e25i 0.0516147i
\(656\) 7.66964e26 + 4.43551e26i 1.33103 + 0.769763i
\(657\) 6.47741e26 3.66706e26i 1.10798 0.627260i
\(658\) −3.75585e26 + 6.50259e26i −0.633231 + 1.09633i
\(659\) −4.36392e26 −0.725212 −0.362606 0.931943i \(-0.618113\pi\)
−0.362606 + 0.931943i \(0.618113\pi\)
\(660\) −4.65675e26 4.69971e26i −0.762809 0.769845i
\(661\) −9.36921e26 −1.51283 −0.756413 0.654094i \(-0.773050\pi\)
−0.756413 + 0.654094i \(0.773050\pi\)
\(662\) −3.46577e26 + 6.00037e26i −0.551631 + 0.955052i
\(663\) −3.31966e26 + 8.74476e25i −0.520853 + 0.137205i
\(664\) 1.07647e23 1.97258e26i 0.000166496 0.305096i
\(665\) 2.62006e26i 0.399489i
\(666\) −1.15499e27 9.97560e24i −1.73610 0.0149946i
\(667\) 2.02406e26i 0.299935i
\(668\) 3.24111e26 + 5.61848e26i 0.473497 + 0.820810i
\(669\) 4.77889e26 1.25887e26i 0.688301 0.181315i
\(670\) −1.27298e26 7.35263e25i −0.180763 0.104408i
\(671\) −8.61876e26 −1.20665
\(672\) −4.47965e26 + 4.43386e26i −0.618352 + 0.612031i
\(673\) 7.78622e26 1.05970 0.529851 0.848091i \(-0.322248\pi\)
0.529851 + 0.848091i \(0.322248\pi\)
\(674\) −3.35351e26 1.93696e26i −0.450018 0.259927i
\(675\) 4.79355e26 + 4.91671e26i 0.634266 + 0.650562i
\(676\) 2.70408e26 + 4.68754e26i 0.352798 + 0.611577i
\(677\) 7.25413e26i 0.933240i 0.884458 + 0.466620i \(0.154528\pi\)
−0.884458 + 0.466620i \(0.845472\pi\)
\(678\) 1.31579e26 + 3.58790e25i 0.166918 + 0.0455153i
\(679\) 4.47420e26i 0.559697i
\(680\) 2.52026e23 4.61827e26i 0.000310893 0.569698i
\(681\) −1.15316e25 4.37761e25i −0.0140279 0.0532524i
\(682\) 3.13592e26 5.42929e26i 0.376195 0.651316i
\(683\) 3.07236e26 0.363475 0.181738 0.983347i \(-0.441828\pi\)
0.181738 + 0.983347i \(0.441828\pi\)
\(684\) −1.44607e26 + 2.45442e26i −0.168716 + 0.286362i
\(685\) 1.19280e27 1.37248
\(686\) 4.76660e26 8.25253e26i 0.540916 0.936500i
\(687\) 2.63724e25 + 1.00114e26i 0.0295162 + 0.112049i
\(688\) 1.39072e27 + 8.04280e26i 1.53514 + 0.887804i
\(689\) 1.58583e27i 1.72653i
\(690\) 1.21652e27 + 3.31722e26i 1.30633 + 0.356212i
\(691\) 5.23373e26i 0.554332i −0.960822 0.277166i \(-0.910605\pi\)
0.960822 0.277166i \(-0.0893951\pi\)
\(692\) −6.87921e26 + 3.96838e26i −0.718672 + 0.414577i
\(693\) 3.26304e26 + 5.76375e26i 0.336246 + 0.593935i
\(694\) −9.37264e26 5.41357e26i −0.952680 0.550261i
\(695\) −1.25695e27 −1.26026
\(696\) 7.86553e25 + 2.99252e26i 0.0777930 + 0.295971i
\(697\) 6.49891e26 0.634058
\(698\) 4.67942e26 + 2.70280e26i 0.450366 + 0.260128i
\(699\) 1.20291e27 3.16873e26i 1.14208 0.300852i
\(700\) 7.31053e26 4.21719e26i 0.684727 0.394995i
\(701\) 1.96584e27i 1.81646i 0.418470 + 0.908231i \(0.362567\pi\)
−0.418470 + 0.908231i \(0.637433\pi\)
\(702\) 3.53012e26 + 1.38867e27i 0.321800 + 1.26589i
\(703\) 6.41630e26i 0.577044i
\(704\) 8.84134e26 + 9.64972e23i 0.784473 + 0.000856199i
\(705\) −2.22079e27 + 5.85009e26i −1.94407 + 0.512113i
\(706\) −2.80384e25 + 4.85435e25i −0.0242163 + 0.0419263i
\(707\) −1.08593e27 −0.925370
\(708\) −2.02177e26 + 2.00329e26i −0.169987 + 0.168433i
\(709\) −1.33583e27 −1.10819 −0.554093 0.832455i \(-0.686935\pi\)
−0.554093 + 0.832455i \(0.686935\pi\)
\(710\) 1.41031e27 2.44171e27i 1.15441 1.99866i
\(711\) 2.20615e26 + 3.89688e26i 0.178186 + 0.314743i
\(712\) 2.22870e26 + 1.21624e23i 0.177620 + 9.69301e-5i
\(713\) 1.19495e27i 0.939725i
\(714\) −1.21628e26 + 4.46045e26i −0.0943844 + 0.346135i
\(715\) 1.84857e27i 1.41556i
\(716\) −1.17000e27 2.02820e27i −0.884119 1.53263i
\(717\) −3.69476e26 1.40259e27i −0.275521 1.04592i
\(718\) −5.19672e26 3.00159e26i −0.382426 0.220886i
\(719\) 2.28526e27 1.65963 0.829815 0.558039i \(-0.188446\pi\)
0.829815 + 0.558039i \(0.188446\pi\)
\(720\) −1.92751e27 1.76997e25i −1.38146 0.0126855i
\(721\) −6.14011e26 −0.434302
\(722\) −1.10344e27 6.37341e26i −0.770276 0.444906i
\(723\) −8.33603e24 3.16450e25i −0.00574309 0.0218017i
\(724\) −4.74423e26 8.22415e26i −0.322589 0.559210i
\(725\) 4.14316e26i 0.278048i
\(726\) −1.52753e26 + 5.60190e26i −0.101179 + 0.371054i
\(727\) 2.16634e27i 1.41628i −0.706070 0.708142i \(-0.749534\pi\)
0.706070 0.708142i \(-0.250466\pi\)
\(728\) 1.76106e27 + 9.61037e23i 1.13639 + 0.000620143i
\(729\) −3.98190e25 + 1.56954e27i −0.0253617 + 0.999678i
\(730\) 1.39936e27 2.42275e27i 0.879757 1.52314i
\(731\) 1.17843e27 0.731289
\(732\) −1.78372e27 + 1.76742e27i −1.09263 + 1.08264i
\(733\) 2.52408e27 1.52621 0.763107 0.646272i \(-0.223673\pi\)
0.763107 + 0.646272i \(0.223673\pi\)
\(734\) −4.97062e26 + 8.60576e26i −0.296687 + 0.513661i
\(735\) 5.51098e26 1.45172e26i 0.324713 0.0855369i
\(736\) −1.46006e27 + 8.41195e26i −0.849241 + 0.489280i
\(737\) 2.06438e26i 0.118535i
\(738\) 2.34271e25 2.71244e27i 0.0132796 1.53753i
\(739\) 1.83470e27i 1.02670i −0.858179 0.513350i \(-0.828404\pi\)
0.858179 0.513350i \(-0.171596\pi\)
\(740\) −3.76071e27 + 2.16942e27i −2.07763 + 1.19851i
\(741\) 7.69693e26 2.02755e26i 0.419802 0.110586i
\(742\) −1.84941e27 1.06821e27i −0.995855 0.575199i
\(743\) 5.47673e26 0.291157 0.145579 0.989347i \(-0.453496\pi\)
0.145579 + 0.989347i \(0.453496\pi\)
\(744\) −4.64362e26 1.76671e27i −0.243733 0.927304i
\(745\) −2.74934e27 −1.42477
\(746\) −3.36828e26 1.94550e26i −0.172342 0.0995432i
\(747\) −5.25548e26 + 2.97530e26i −0.265501 + 0.150309i
\(748\) 5.61764e26 3.24062e26i 0.280213 0.161645i
\(749\) 2.21571e27i 1.09128i
\(750\) −2.50546e26 6.83192e25i −0.121845 0.0332247i
\(751\) 1.49230e27i 0.716602i 0.933606 + 0.358301i \(0.116644\pi\)
−0.933606 + 0.358301i \(0.883356\pi\)
\(752\) 1.53642e27 2.65670e27i 0.728520 1.25972i
\(753\) −2.94015e25 1.11613e26i −0.0137663 0.0522592i
\(754\) 4.32399e26 7.48622e26i 0.199920 0.346127i
\(755\) −1.58587e27 −0.724055
\(756\) 1.85727e27 + 5.23715e26i 0.837369 + 0.236123i
\(757\) 1.86200e26 0.0829027 0.0414514 0.999141i \(-0.486802\pi\)
0.0414514 + 0.999141i \(0.486802\pi\)
\(758\) −7.54737e26 + 1.30669e27i −0.331847 + 0.574535i
\(759\) 4.51059e26 + 1.71230e27i 0.195856 + 0.743502i
\(760\) −5.84346e23 + 1.07079e27i −0.000250577 + 0.459171i
\(761\) 1.94147e27i 0.822198i −0.911591 0.411099i \(-0.865145\pi\)
0.911591 0.411099i \(-0.134855\pi\)
\(762\) 6.00509e26 + 1.63747e26i 0.251158 + 0.0684860i
\(763\)