Properties

Label 4.33.b.b.3.5
Level $4$
Weight $33$
Character 4.3
Analytic conductor $25.947$
Analytic rank $0$
Dimension $14$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 4 = 2^{2} \)
Weight: \( k \) \(=\) \( 33 \)
Character orbit: \([\chi]\) \(=\) 4.b (of order \(2\), degree \(1\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(25.9466620569\)
Analytic rank: \(0\)
Dimension: \(14\)
Coefficient field: \(\mathbb{Q}[x]/(x^{14} + \cdots)\)
Defining polynomial: \(x^{14} + 72511313626452 x^{12} + 2025191977179903324811336518 x^{10} + 27922884728028663894750078705223437415644 x^{8} + 203010662886800095440071970440402438747266446160157745 x^{6} + 758734102549599282271818004575465783845093632382487984186969965640 x^{4} + 1269648449115368448095465842606476325720277486461580161887038301255933321354000 x^{2} + 624216522131873762678666934520680301449631616035103441585151846396220724278849706601312000\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{182}\cdot 3^{20}\cdot 5^{6} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 3.5
Root \(-1.78456e6i\) of defining polynomial
Character \(\chi\) \(=\) 4.3
Dual form 4.33.b.b.3.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-18058.8 - 62998.8i) q^{2} -2.85529e7i q^{3} +(-3.64273e9 + 2.27536e9i) q^{4} +1.21258e11 q^{5} +(-1.79880e12 + 5.15631e11i) q^{6} +3.17263e10i q^{7} +(2.09128e14 + 1.88397e14i) q^{8} +1.03775e15 q^{9} +O(q^{10})\) \(q+(-18058.8 - 62998.8i) q^{2} -2.85529e7i q^{3} +(-3.64273e9 + 2.27536e9i) q^{4} +1.21258e11 q^{5} +(-1.79880e12 + 5.15631e11i) q^{6} +3.17263e10i q^{7} +(2.09128e14 + 1.88397e14i) q^{8} +1.03775e15 q^{9} +(-2.18978e15 - 7.63913e15i) q^{10} -6.68515e16i q^{11} +(6.49683e16 + 1.04011e17i) q^{12} +5.92013e17 q^{13} +(1.99872e15 - 5.72939e14i) q^{14} -3.46228e18i q^{15} +(8.09220e18 - 1.65771e19i) q^{16} +4.82732e19 q^{17} +(-1.87405e19 - 6.53770e19i) q^{18} +9.57586e19i q^{19} +(-4.41711e20 + 2.75907e20i) q^{20} +9.05881e17 q^{21} +(-4.21156e21 + 1.20726e21i) q^{22} +5.33527e20i q^{23} +(5.37930e21 - 5.97123e21i) q^{24} -8.57947e21 q^{25} +(-1.06910e22 - 3.72961e22i) q^{26} -8.25400e22i q^{27} +(-7.21889e19 - 1.15570e20i) q^{28} -4.06224e23 q^{29} +(-2.18120e23 + 6.25246e22i) q^{30} -4.12012e23i q^{31} +(-1.19047e24 - 2.10438e23i) q^{32} -1.90881e24 q^{33} +(-8.71755e23 - 3.04116e24i) q^{34} +3.84709e21i q^{35} +(-3.78024e24 + 2.36126e24i) q^{36} +1.13492e25 q^{37} +(6.03268e24 - 1.72928e24i) q^{38} -1.69037e25i q^{39} +(2.53586e25 + 2.28447e25i) q^{40} -2.76466e23 q^{41} +(-1.63591e22 - 5.70694e22i) q^{42} +1.68374e26i q^{43} +(1.52111e26 + 2.43522e26i) q^{44} +1.25836e26 q^{45} +(3.36116e25 - 9.63485e24i) q^{46} -7.88873e26i q^{47} +(-4.73324e26 - 2.31056e26i) q^{48} +1.10443e27 q^{49} +(1.54935e26 + 5.40496e26i) q^{50} -1.37834e27i q^{51} +(-2.15654e27 + 1.34704e27i) q^{52} -5.53595e27 q^{53} +(-5.19992e27 + 1.49057e27i) q^{54} -8.10630e27i q^{55} +(-5.97716e24 + 6.63488e24i) q^{56} +2.73419e27 q^{57} +(7.33590e27 + 2.55916e28i) q^{58} -4.25442e28i q^{59} +(7.87795e27 + 1.26122e28i) q^{60} +5.00768e28 q^{61} +(-2.59563e28 + 7.44043e27i) q^{62} +3.29240e25i q^{63} +(8.24109e27 + 7.87984e28i) q^{64} +7.17866e28 q^{65} +(3.44707e28 + 1.20253e29i) q^{66} -1.33261e29i q^{67} +(-1.75846e29 + 1.09839e29i) q^{68} +1.52338e28 q^{69} +(2.42362e26 - 6.94736e25i) q^{70} -5.68414e29i q^{71} +(2.17023e29 + 1.95509e29i) q^{72} -6.17148e29 q^{73} +(-2.04953e29 - 7.14989e29i) q^{74} +2.44969e29i q^{75} +(-2.17885e29 - 3.48823e29i) q^{76} +2.12095e27 q^{77} +(-1.06491e30 + 3.05261e29i) q^{78} +1.44347e30i q^{79} +(9.81247e29 - 2.01011e30i) q^{80} -4.33789e29 q^{81} +(4.99263e27 + 1.74170e28i) q^{82} +6.98874e30i q^{83} +(-3.29988e27 + 2.06121e27i) q^{84} +5.85353e30 q^{85} +(1.06074e31 - 3.04063e30i) q^{86} +1.15989e31i q^{87} +(1.25946e31 - 1.39805e31i) q^{88} -1.07508e31 q^{89} +(-2.27244e30 - 7.92750e30i) q^{90} +1.87824e28i q^{91} +(-1.21397e30 - 1.94350e30i) q^{92} -1.17642e31 q^{93} +(-4.96981e31 + 1.42461e31i) q^{94} +1.16115e31i q^{95} +(-6.00862e30 + 3.39914e31i) q^{96} -3.35405e31 q^{97} +(-1.99446e31 - 6.95775e31i) q^{98} -6.93751e31i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 14q - 23780q^{2} - 2922848368q^{4} + 138121491740q^{5} + 1262734959552q^{6} - 191366550113600q^{8} - 11183509932817650q^{9} + O(q^{10}) \) \( 14q - 23780q^{2} - 2922848368q^{4} + 138121491740q^{5} + 1262734959552q^{6} - 191366550113600q^{8} - 11183509932817650q^{9} + 31775605694457400q^{10} - 356375853407619840q^{12} - 1640418469677858020q^{13} + 7731597686180285568q^{14} - 30570843123186593536q^{16} + 31570967905797256220q^{17} - \)\(35\!\cdots\!40\)\(q^{18} + \)\(20\!\cdots\!60\)\(q^{20} - \)\(21\!\cdots\!16\)\(q^{21} + \)\(54\!\cdots\!80\)\(q^{22} - \)\(25\!\cdots\!32\)\(q^{24} + \)\(10\!\cdots\!50\)\(q^{25} - \)\(10\!\cdots\!24\)\(q^{26} + \)\(28\!\cdots\!20\)\(q^{28} - \)\(38\!\cdots\!16\)\(q^{29} - \)\(58\!\cdots\!20\)\(q^{30} - \)\(30\!\cdots\!00\)\(q^{32} + \)\(30\!\cdots\!00\)\(q^{33} + \)\(29\!\cdots\!16\)\(q^{34} + \)\(40\!\cdots\!96\)\(q^{36} - \)\(10\!\cdots\!40\)\(q^{37} - \)\(23\!\cdots\!60\)\(q^{38} + \)\(46\!\cdots\!00\)\(q^{40} + \)\(36\!\cdots\!48\)\(q^{41} + \)\(11\!\cdots\!00\)\(q^{42} - \)\(34\!\cdots\!40\)\(q^{44} + \)\(80\!\cdots\!80\)\(q^{45} - \)\(29\!\cdots\!48\)\(q^{46} + \)\(22\!\cdots\!60\)\(q^{48} - \)\(48\!\cdots\!90\)\(q^{49} - \)\(51\!\cdots\!00\)\(q^{50} - \)\(96\!\cdots\!20\)\(q^{52} + \)\(18\!\cdots\!80\)\(q^{53} + \)\(56\!\cdots\!36\)\(q^{54} + \)\(63\!\cdots\!52\)\(q^{56} - \)\(45\!\cdots\!40\)\(q^{57} - \)\(38\!\cdots\!60\)\(q^{58} + \)\(47\!\cdots\!00\)\(q^{60} + \)\(10\!\cdots\!08\)\(q^{61} + \)\(21\!\cdots\!00\)\(q^{62} - \)\(19\!\cdots\!88\)\(q^{64} + \)\(11\!\cdots\!00\)\(q^{65} + \)\(12\!\cdots\!60\)\(q^{66} + \)\(35\!\cdots\!00\)\(q^{68} - \)\(51\!\cdots\!84\)\(q^{69} - \)\(51\!\cdots\!80\)\(q^{70} + \)\(11\!\cdots\!60\)\(q^{72} + \)\(14\!\cdots\!60\)\(q^{73} - \)\(98\!\cdots\!84\)\(q^{74} - \)\(78\!\cdots\!00\)\(q^{76} - \)\(30\!\cdots\!40\)\(q^{77} + \)\(87\!\cdots\!00\)\(q^{78} + \)\(62\!\cdots\!40\)\(q^{80} - \)\(42\!\cdots\!22\)\(q^{81} - \)\(45\!\cdots\!80\)\(q^{82} + \)\(18\!\cdots\!96\)\(q^{84} + \)\(67\!\cdots\!00\)\(q^{85} - \)\(23\!\cdots\!48\)\(q^{86} + \)\(11\!\cdots\!80\)\(q^{88} - \)\(18\!\cdots\!76\)\(q^{89} - \)\(25\!\cdots\!00\)\(q^{90} + \)\(60\!\cdots\!00\)\(q^{92} + \)\(43\!\cdots\!40\)\(q^{93} - \)\(13\!\cdots\!12\)\(q^{94} + \)\(34\!\cdots\!32\)\(q^{96} - \)\(20\!\cdots\!20\)\(q^{97} - \)\(46\!\cdots\!00\)\(q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/4\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −18058.8 62998.8i −0.275555 0.961285i
\(3\) 2.85529e7i 0.663301i −0.943402 0.331651i \(-0.892394\pi\)
0.943402 0.331651i \(-0.107606\pi\)
\(4\) −3.64273e9 + 2.27536e9i −0.848139 + 0.529774i
\(5\) 1.21258e11 0.794679 0.397339 0.917672i \(-0.369934\pi\)
0.397339 + 0.917672i \(0.369934\pi\)
\(6\) −1.79880e12 + 5.15631e11i −0.637622 + 0.182776i
\(7\) 3.17263e10i 0.000954666i 1.00000 0.000477333i \(0.000151940\pi\)
−1.00000 0.000477333i \(0.999848\pi\)
\(8\) 2.09128e14 + 1.88397e14i 0.742973 + 0.669322i
\(9\) 1.03775e15 0.560031
\(10\) −2.18978e15 7.63913e15i −0.218978 0.763913i
\(11\) 6.68515e16i 1.45488i −0.686169 0.727442i \(-0.740709\pi\)
0.686169 0.727442i \(-0.259291\pi\)
\(12\) 6.49683e16 + 1.04011e17i 0.351400 + 0.562572i
\(13\) 5.92013e17 0.889688 0.444844 0.895608i \(-0.353259\pi\)
0.444844 + 0.895608i \(0.353259\pi\)
\(14\) 1.99872e15 5.72939e14i 0.000917706 0.000263063i
\(15\) 3.46228e18i 0.527112i
\(16\) 8.09220e18 1.65771e19i 0.438679 0.898644i
\(17\) 4.82732e19 0.992027 0.496014 0.868315i \(-0.334797\pi\)
0.496014 + 0.868315i \(0.334797\pi\)
\(18\) −1.87405e19 6.53770e19i −0.154319 0.538350i
\(19\) 9.57586e19i 0.331986i 0.986127 + 0.165993i \(0.0530830\pi\)
−0.986127 + 0.165993i \(0.946917\pi\)
\(20\) −4.41711e20 + 2.75907e20i −0.673998 + 0.421000i
\(21\) 9.05881e17 0.000633231
\(22\) −4.21156e21 + 1.20726e21i −1.39856 + 0.400900i
\(23\) 5.33527e20i 0.0869984i 0.999053 + 0.0434992i \(0.0138506\pi\)
−0.999053 + 0.0434992i \(0.986149\pi\)
\(24\) 5.37930e21 5.97123e21i 0.443962 0.492815i
\(25\) −8.57947e21 −0.368485
\(26\) −1.06910e22 3.72961e22i −0.245158 0.855244i
\(27\) 8.25400e22i 1.03477i
\(28\) −7.21889e19 1.15570e20i −0.000505757 0.000809689i
\(29\) −4.06224e23 −1.62330 −0.811648 0.584147i \(-0.801429\pi\)
−0.811648 + 0.584147i \(0.801429\pi\)
\(30\) −2.18120e23 + 6.25246e22i −0.506705 + 0.145248i
\(31\) 4.12012e23i 0.566399i −0.959061 0.283200i \(-0.908604\pi\)
0.959061 0.283200i \(-0.0913959\pi\)
\(32\) −1.19047e24 2.10438e23i −0.984733 0.174070i
\(33\) −1.90881e24 −0.965026
\(34\) −8.71755e23 3.04116e24i −0.273358 0.953621i
\(35\) 3.84709e21i 0.000758653i
\(36\) −3.78024e24 + 2.36126e24i −0.474984 + 0.296690i
\(37\) 1.13492e25 0.919897 0.459949 0.887946i \(-0.347868\pi\)
0.459949 + 0.887946i \(0.347868\pi\)
\(38\) 6.03268e24 1.72928e24i 0.319134 0.0914805i
\(39\) 1.69037e25i 0.590131i
\(40\) 2.53586e25 + 2.28447e25i 0.590425 + 0.531896i
\(41\) −2.76466e23 −0.00433610 −0.00216805 0.999998i \(-0.500690\pi\)
−0.00216805 + 0.999998i \(0.500690\pi\)
\(42\) −1.63591e22 5.70694e22i −0.000174490 0.000608716i
\(43\) 1.68374e26i 1.23248i 0.787559 + 0.616239i \(0.211345\pi\)
−0.787559 + 0.616239i \(0.788655\pi\)
\(44\) 1.52111e26 + 2.43522e26i 0.770759 + 1.23394i
\(45\) 1.25836e26 0.445045
\(46\) 3.36116e25 9.63485e24i 0.0836303 0.0239728i
\(47\) 7.88873e26i 1.39137i −0.718349 0.695683i \(-0.755102\pi\)
0.718349 0.695683i \(-0.244898\pi\)
\(48\) −4.73324e26 2.31056e26i −0.596072 0.290976i
\(49\) 1.10443e27 0.999999
\(50\) 1.54935e26 + 5.40496e26i 0.101538 + 0.354220i
\(51\) 1.37834e27i 0.658013i
\(52\) −2.15654e27 + 1.34704e27i −0.754579 + 0.471334i
\(53\) −5.53595e27 −1.42816 −0.714082 0.700062i \(-0.753156\pi\)
−0.714082 + 0.700062i \(0.753156\pi\)
\(54\) −5.19992e27 + 1.49057e27i −0.994710 + 0.285136i
\(55\) 8.10630e27i 1.15617i
\(56\) −5.97716e24 + 6.63488e24i −0.000638979 + 0.000709291i
\(57\) 2.73419e27 0.220207
\(58\) 7.33590e27 + 2.55916e28i 0.447307 + 1.56045i
\(59\) 4.25442e28i 1.97337i −0.162647 0.986684i \(-0.552003\pi\)
0.162647 0.986684i \(-0.447997\pi\)
\(60\) 7.87795e27 + 1.26122e28i 0.279250 + 0.447064i
\(61\) 5.00768e28 1.36257 0.681286 0.732018i \(-0.261421\pi\)
0.681286 + 0.732018i \(0.261421\pi\)
\(62\) −2.59563e28 + 7.44043e27i −0.544472 + 0.156074i
\(63\) 3.29240e25i 0.000534643i
\(64\) 8.24109e27 + 7.87984e28i 0.104017 + 0.994576i
\(65\) 7.17866e28 0.707017
\(66\) 3.44707e28 + 1.20253e29i 0.265918 + 0.927665i
\(67\) 1.33261e29i 0.808175i −0.914720 0.404087i \(-0.867589\pi\)
0.914720 0.404087i \(-0.132411\pi\)
\(68\) −1.75846e29 + 1.09839e29i −0.841377 + 0.525550i
\(69\) 1.52338e28 0.0577062
\(70\) 2.42362e26 6.94736e25i 0.000729282 0.000209051i
\(71\) 5.68414e29i 1.36311i −0.731767 0.681555i \(-0.761304\pi\)
0.731767 0.681555i \(-0.238696\pi\)
\(72\) 2.17023e29 + 1.95509e29i 0.416088 + 0.374841i
\(73\) −6.17148e29 −0.948906 −0.474453 0.880281i \(-0.657354\pi\)
−0.474453 + 0.880281i \(0.657354\pi\)
\(74\) −2.04953e29 7.14989e29i −0.253482 0.884284i
\(75\) 2.44969e29i 0.244417i
\(76\) −2.17885e29 3.48823e29i −0.175878 0.281571i
\(77\) 2.12095e27 0.00138893
\(78\) −1.06491e30 + 3.05261e29i −0.567285 + 0.162614i
\(79\) 1.44347e30i 0.627152i 0.949563 + 0.313576i \(0.101527\pi\)
−0.949563 + 0.313576i \(0.898473\pi\)
\(80\) 9.81247e29 2.01011e30i 0.348609 0.714133i
\(81\) −4.33789e29 −0.126333
\(82\) 4.99263e27 + 1.74170e28i 0.00119484 + 0.00416823i
\(83\) 6.98874e30i 1.37768i 0.724912 + 0.688841i \(0.241880\pi\)
−0.724912 + 0.688841i \(0.758120\pi\)
\(84\) −3.29988e27 + 2.06121e27i −0.000537068 + 0.000335469i
\(85\) 5.85353e30 0.788343
\(86\) 1.06074e31 3.04063e30i 1.18476 0.339616i
\(87\) 1.15989e31i 1.07673i
\(88\) 1.25946e31 1.39805e31i 0.973785 1.08094i
\(89\) −1.07508e31 −0.693744 −0.346872 0.937912i \(-0.612756\pi\)
−0.346872 + 0.937912i \(0.612756\pi\)
\(90\) −2.27244e30 7.92750e30i −0.122634 0.427815i
\(91\) 1.87824e28i 0.000849355i
\(92\) −1.21397e30 1.94350e30i −0.0460895 0.0737867i
\(93\) −1.17642e31 −0.375694
\(94\) −4.96981e31 + 1.42461e31i −1.33750 + 0.383398i
\(95\) 1.16115e31i 0.263823i
\(96\) −6.00862e30 + 3.39914e31i −0.115461 + 0.653175i
\(97\) −3.35405e31 −0.546036 −0.273018 0.962009i \(-0.588022\pi\)
−0.273018 + 0.962009i \(0.588022\pi\)
\(98\) −1.99446e31 6.95775e31i −0.275555 0.961284i
\(99\) 6.93751e31i 0.814780i
\(100\) 3.12527e31 1.95214e31i 0.312527 0.195214i
\(101\) 1.12793e32 0.961922 0.480961 0.876742i \(-0.340288\pi\)
0.480961 + 0.876742i \(0.340288\pi\)
\(102\) −8.68340e31 + 2.48912e31i −0.632538 + 0.181319i
\(103\) 1.88551e32i 1.17499i −0.809228 0.587495i \(-0.800114\pi\)
0.809228 0.587495i \(-0.199886\pi\)
\(104\) 1.23807e32 + 1.11534e32i 0.661014 + 0.595488i
\(105\) 1.09846e29 0.000503215
\(106\) 9.99725e31 + 3.48758e32i 0.393538 + 1.37287i
\(107\) 2.35968e31i 0.0799306i 0.999201 + 0.0399653i \(0.0127247\pi\)
−0.999201 + 0.0399653i \(0.987275\pi\)
\(108\) 1.87808e32 + 3.00671e32i 0.548195 + 0.877629i
\(109\) 1.86142e32 0.468835 0.234417 0.972136i \(-0.424682\pi\)
0.234417 + 0.972136i \(0.424682\pi\)
\(110\) −5.10687e32 + 1.46390e32i −1.11140 + 0.318587i
\(111\) 3.24054e32i 0.610169i
\(112\) 5.25929e29 + 2.56736e29i 0.000857905 + 0.000418792i
\(113\) 6.55553e31 0.0927583 0.0463791 0.998924i \(-0.485232\pi\)
0.0463791 + 0.998924i \(0.485232\pi\)
\(114\) −4.93761e31 1.72251e32i −0.0606791 0.211682i
\(115\) 6.46947e31i 0.0691358i
\(116\) 1.47976e33 9.24306e32i 1.37678 0.859979i
\(117\) 6.14362e32 0.498253
\(118\) −2.68023e33 + 7.68296e32i −1.89697 + 0.543772i
\(119\) 1.53153e30i 0.000947055i
\(120\) 6.52285e32 7.24061e32i 0.352807 0.391630i
\(121\) −2.35775e33 −1.11669
\(122\) −9.04326e32 3.15478e33i −0.375463 1.30982i
\(123\) 7.89391e30i 0.00287614i
\(124\) 9.37476e32 + 1.50085e33i 0.300064 + 0.480385i
\(125\) −3.86360e33 −1.08751
\(126\) 2.07417e30 5.94567e29i 0.000513944 0.000147324i
\(127\) 7.32371e33i 1.59908i 0.600610 + 0.799542i \(0.294925\pi\)
−0.600610 + 0.799542i \(0.705075\pi\)
\(128\) 4.81538e33 1.94218e33i 0.927408 0.374050i
\(129\) 4.80757e33 0.817505
\(130\) −1.29638e33 4.52247e33i −0.194822 0.679645i
\(131\) 7.71918e33i 1.02620i 0.858330 + 0.513098i \(0.171502\pi\)
−0.858330 + 0.513098i \(0.828498\pi\)
\(132\) 6.95327e33 4.34323e33i 0.818476 0.511246i
\(133\) −3.03807e30 −0.000316936
\(134\) −8.39526e33 + 2.40652e33i −0.776887 + 0.222697i
\(135\) 1.00087e34i 0.822311i
\(136\) 1.00953e34 + 9.09455e33i 0.737049 + 0.663985i
\(137\) 2.27924e34 1.47999 0.739997 0.672610i \(-0.234827\pi\)
0.739997 + 0.672610i \(0.234827\pi\)
\(138\) −2.75103e32 9.59710e32i −0.0159012 0.0554721i
\(139\) 1.27157e34i 0.654791i 0.944887 + 0.327396i \(0.106171\pi\)
−0.944887 + 0.327396i \(0.893829\pi\)
\(140\) −8.75351e30 1.40139e31i −0.000401915 0.000643443i
\(141\) −2.25247e34 −0.922895
\(142\) −3.58094e34 + 1.02649e34i −1.31034 + 0.375612i
\(143\) 3.95770e34i 1.29439i
\(144\) 8.39768e33 1.72028e34i 0.245674 0.503269i
\(145\) −4.92580e34 −1.29000
\(146\) 1.11449e34 + 3.88796e34i 0.261476 + 0.912170i
\(147\) 3.15346e34i 0.663301i
\(148\) −4.13422e34 + 2.58236e34i −0.780201 + 0.487338i
\(149\) 3.99267e34 0.676524 0.338262 0.941052i \(-0.390161\pi\)
0.338262 + 0.941052i \(0.390161\pi\)
\(150\) 1.54328e34 4.42384e33i 0.234954 0.0673503i
\(151\) 7.15918e34i 0.980014i −0.871719 0.490007i \(-0.836994\pi\)
0.871719 0.490007i \(-0.163006\pi\)
\(152\) −1.80407e34 + 2.00258e34i −0.222206 + 0.246657i
\(153\) 5.00955e34 0.555567
\(154\) −3.83018e31 1.33618e32i −0.000382726 0.00133516i
\(155\) 4.99599e34i 0.450106i
\(156\) 3.84621e34 + 6.15757e34i 0.312636 + 0.500513i
\(157\) 9.50355e34 0.697415 0.348707 0.937232i \(-0.386621\pi\)
0.348707 + 0.937232i \(0.386621\pi\)
\(158\) 9.09366e34 2.60672e34i 0.602872 0.172815i
\(159\) 1.58068e35i 0.947304i
\(160\) −1.44354e35 2.55174e34i −0.782547 0.138330i
\(161\) −1.69269e31 −8.30544e−5
\(162\) 7.83370e33 + 2.73282e34i 0.0348118 + 0.121442i
\(163\) 4.30635e35i 1.73423i 0.498106 + 0.867116i \(0.334029\pi\)
−0.498106 + 0.867116i \(0.665971\pi\)
\(164\) 1.00709e33 6.29060e32i 0.00367762 0.00229716i
\(165\) −2.31459e35 −0.766886
\(166\) 4.40282e35 1.26208e35i 1.32435 0.379627i
\(167\) 2.79090e35i 0.762572i −0.924457 0.381286i \(-0.875481\pi\)
0.924457 0.381286i \(-0.124519\pi\)
\(168\) 1.89445e32 + 1.70665e32i 0.000470474 + 0.000423835i
\(169\) −9.22994e34 −0.208455
\(170\) −1.05708e35 3.68766e35i −0.217232 0.757823i
\(171\) 9.93735e34i 0.185923i
\(172\) −3.83111e35 6.13340e35i −0.652935 1.04531i
\(173\) 5.12088e34 0.0795439 0.0397719 0.999209i \(-0.487337\pi\)
0.0397719 + 0.999209i \(0.487337\pi\)
\(174\) 7.30716e35 2.09462e35i 1.03505 0.296699i
\(175\) 2.72195e32i 0.000351781i
\(176\) −1.10820e36 5.40976e35i −1.30742 0.638227i
\(177\) −1.21476e36 −1.30894
\(178\) 1.94146e35 + 6.77285e35i 0.191165 + 0.666886i
\(179\) 1.91323e36i 1.72234i 0.508315 + 0.861172i \(0.330269\pi\)
−0.508315 + 0.861172i \(0.669731\pi\)
\(180\) −4.58386e35 + 2.86322e35i −0.377460 + 0.235773i
\(181\) 1.04359e36 0.786450 0.393225 0.919442i \(-0.371359\pi\)
0.393225 + 0.919442i \(0.371359\pi\)
\(182\) 1.18327e33 3.39187e32i 0.000816473 0.000234044i
\(183\) 1.42984e36i 0.903795i
\(184\) −1.00515e35 + 1.11576e35i −0.0582299 + 0.0646374i
\(185\) 1.37619e36 0.731023
\(186\) 2.12446e35 + 7.41128e35i 0.103524 + 0.361149i
\(187\) 3.22714e36i 1.44328i
\(188\) 1.79497e36 + 2.87365e36i 0.737110 + 1.18007i
\(189\) 2.61869e33 0.000987860
\(190\) 7.31513e35 2.09690e35i 0.253609 0.0726976i
\(191\) 1.14601e36i 0.365304i 0.983178 + 0.182652i \(0.0584681\pi\)
−0.983178 + 0.182652i \(0.941532\pi\)
\(192\) 2.24993e36 2.35307e35i 0.659703 0.0689947i
\(193\) 3.03069e36 0.817757 0.408878 0.912589i \(-0.365920\pi\)
0.408878 + 0.912589i \(0.365920\pi\)
\(194\) 6.05700e35 + 2.11301e36i 0.150463 + 0.524897i
\(195\) 2.04972e36i 0.468965i
\(196\) −4.02313e36 + 2.51297e36i −0.848138 + 0.529773i
\(197\) −2.82588e36 −0.549154 −0.274577 0.961565i \(-0.588538\pi\)
−0.274577 + 0.961565i \(0.588538\pi\)
\(198\) −4.37055e36 + 1.25283e36i −0.783236 + 0.224517i
\(199\) 4.12362e36i 0.681757i −0.940107 0.340879i \(-0.889275\pi\)
0.940107 0.340879i \(-0.110725\pi\)
\(200\) −1.79421e36 1.61635e36i −0.273775 0.246635i
\(201\) −3.80499e36 −0.536063
\(202\) −2.03690e36 7.10582e36i −0.265062 0.924681i
\(203\) 1.28880e34i 0.00154970i
\(204\) 3.13623e36 + 5.02093e36i 0.348598 + 0.558087i
\(205\) −3.35238e34 −0.00344581
\(206\) −1.18785e37 + 3.40501e36i −1.12950 + 0.323774i
\(207\) 5.53668e35i 0.0487218i
\(208\) 4.79069e36 9.81384e36i 0.390288 0.799513i
\(209\) 6.40161e36 0.483001
\(210\) −1.98368e33 6.92014e33i −0.000138664 0.000483734i
\(211\) 8.72796e36i 0.565449i 0.959201 + 0.282725i \(0.0912382\pi\)
−0.959201 + 0.282725i \(0.908762\pi\)
\(212\) 2.01660e37 1.25963e37i 1.21128 0.756605i
\(213\) −1.62299e37 −0.904153
\(214\) 1.48657e36 4.26130e35i 0.0768361 0.0220253i
\(215\) 2.04167e37i 0.979425i
\(216\) 1.55503e37 1.72614e37i 0.692594 0.768807i
\(217\) 1.30716e34 0.000540722
\(218\) −3.36149e36 1.17267e37i −0.129190 0.450684i
\(219\) 1.76214e37i 0.629411i
\(220\) 1.84448e37 + 2.95291e37i 0.612506 + 0.980589i
\(221\) 2.85784e37 0.882595
\(222\) −2.04150e37 + 5.85202e36i −0.586547 + 0.168135i
\(223\) 3.46341e37i 0.926033i 0.886350 + 0.463016i \(0.153233\pi\)
−0.886350 + 0.463016i \(0.846767\pi\)
\(224\) 6.67642e33 3.77692e34i 0.000166179 0.000940091i
\(225\) −8.90334e36 −0.206363
\(226\) −1.18385e36 4.12990e36i −0.0255600 0.0891671i
\(227\) 4.61174e37i 0.927794i −0.885889 0.463897i \(-0.846451\pi\)
0.885889 0.463897i \(-0.153549\pi\)
\(228\) −9.95992e36 + 6.22127e36i −0.186766 + 0.116660i
\(229\) −2.33950e37 −0.409030 −0.204515 0.978863i \(-0.565562\pi\)
−0.204515 + 0.978863i \(0.565562\pi\)
\(230\) 4.07569e36 1.16831e36i 0.0664592 0.0190507i
\(231\) 6.05595e34i 0.000921278i
\(232\) −8.49529e37 7.65315e37i −1.20606 1.08651i
\(233\) 2.24295e37 0.297252 0.148626 0.988893i \(-0.452515\pi\)
0.148626 + 0.988893i \(0.452515\pi\)
\(234\) −1.10946e37 3.87040e37i −0.137296 0.478964i
\(235\) 9.56575e37i 1.10569i
\(236\) 9.68035e37 + 1.54977e38i 1.04544 + 1.67369i
\(237\) 4.12152e37 0.415991
\(238\) 9.64848e34 2.76576e34i 0.000910390 0.000260966i
\(239\) 7.63924e37i 0.674037i −0.941498 0.337018i \(-0.890582\pi\)
0.941498 0.337018i \(-0.109418\pi\)
\(240\) −5.73945e37 2.80175e37i −0.473685 0.231233i
\(241\) −2.15781e38 −1.66625 −0.833124 0.553086i \(-0.813450\pi\)
−0.833124 + 0.553086i \(0.813450\pi\)
\(242\) 4.25780e37 + 1.48535e38i 0.307708 + 1.07345i
\(243\) 1.40562e38i 0.950974i
\(244\) −1.82416e38 + 1.13943e38i −1.15565 + 0.721855i
\(245\) 1.33921e38 0.794678
\(246\) 4.97307e35 1.42554e35i 0.00276479 0.000792536i
\(247\) 5.66904e37i 0.295364i
\(248\) 7.76220e37 8.61634e37i 0.379103 0.420819i
\(249\) 1.99549e38 0.913819
\(250\) 6.97719e37 + 2.43402e38i 0.299668 + 1.04540i
\(251\) 3.23115e38i 1.30190i 0.759121 + 0.650949i \(0.225629\pi\)
−0.759121 + 0.650949i \(0.774371\pi\)
\(252\) −7.49140e34 1.19933e35i −0.000283240 0.000453451i
\(253\) 3.56671e37 0.126573
\(254\) 4.61385e38 1.32257e38i 1.53718 0.440636i
\(255\) 1.67136e38i 0.522909i
\(256\) −2.09315e38 2.68290e38i −0.615121 0.788433i
\(257\) 3.79367e38 1.04744 0.523721 0.851890i \(-0.324543\pi\)
0.523721 + 0.851890i \(0.324543\pi\)
\(258\) −8.68188e37 3.02871e38i −0.225268 0.785855i
\(259\) 3.60070e35i 0.000878195i
\(260\) −2.61499e38 + 1.63340e38i −0.599648 + 0.374559i
\(261\) −4.21559e38 −0.909096
\(262\) 4.86299e38 1.39399e38i 0.986467 0.282774i
\(263\) 5.28506e38i 1.00869i 0.863502 + 0.504345i \(0.168266\pi\)
−0.863502 + 0.504345i \(0.831734\pi\)
\(264\) −3.99186e38 3.59614e38i −0.716988 0.645913i
\(265\) −6.71281e38 −1.13493
\(266\) 5.48638e34 + 1.91395e35i 8.73333e−5 + 0.000304666i
\(267\) 3.06966e38i 0.460161i
\(268\) 3.03216e38 + 4.85433e38i 0.428150 + 0.685444i
\(269\) −7.48552e38 −0.995831 −0.497916 0.867226i \(-0.665901\pi\)
−0.497916 + 0.867226i \(0.665901\pi\)
\(270\) −6.30534e38 + 1.80744e38i −0.790475 + 0.226592i
\(271\) 1.81220e38i 0.214140i −0.994251 0.107070i \(-0.965853\pi\)
0.994251 0.107070i \(-0.0341469\pi\)
\(272\) 3.90637e38 8.00228e38i 0.435182 0.891479i
\(273\) 5.36293e35 0.000563378
\(274\) −4.11602e38 1.43589e39i −0.407820 1.42270i
\(275\) 5.73551e38i 0.536103i
\(276\) −5.54925e37 + 3.46624e37i −0.0489428 + 0.0305712i
\(277\) 5.50087e38 0.457884 0.228942 0.973440i \(-0.426473\pi\)
0.228942 + 0.973440i \(0.426473\pi\)
\(278\) 8.01073e38 2.29630e38i 0.629441 0.180431i
\(279\) 4.27565e38i 0.317201i
\(280\) −7.24780e35 + 8.04534e35i −0.000507783 + 0.000563658i
\(281\) 2.00956e39 1.32984 0.664921 0.746914i \(-0.268465\pi\)
0.664921 + 0.746914i \(0.268465\pi\)
\(282\) 4.06768e38 + 1.41903e39i 0.254308 + 0.887166i
\(283\) 1.10638e39i 0.653613i −0.945091 0.326806i \(-0.894027\pi\)
0.945091 0.326806i \(-0.105973\pi\)
\(284\) 1.29335e39 + 2.07058e39i 0.722140 + 1.15611i
\(285\) 3.31544e38 0.174994
\(286\) −2.49330e39 + 7.14712e38i −1.24428 + 0.356676i
\(287\) 8.77125e33i 4.13953e-6i
\(288\) −1.23541e39 2.18382e38i −0.551482 0.0974847i
\(289\) −3.76060e37 −0.0158815
\(290\) 8.89540e38 + 3.10320e39i 0.355465 + 1.24006i
\(291\) 9.57680e38i 0.362187i
\(292\) 2.24810e39 1.40423e39i 0.804804 0.502706i
\(293\) 1.58688e39 0.537851 0.268926 0.963161i \(-0.413331\pi\)
0.268926 + 0.963161i \(0.413331\pi\)
\(294\) −1.98664e39 + 5.69477e38i −0.637621 + 0.182776i
\(295\) 5.15884e39i 1.56819i
\(296\) 2.37345e39 + 2.13817e39i 0.683459 + 0.615707i
\(297\) −5.51792e39 −1.50547
\(298\) −7.21028e38 2.51534e39i −0.186420 0.650333i
\(299\) 3.15855e38i 0.0774015i
\(300\) −5.57393e38 8.92356e38i −0.129486 0.207299i
\(301\) −5.34189e36 −0.00117661
\(302\) −4.51020e39 + 1.29286e39i −0.942073 + 0.270048i
\(303\) 3.22057e39i 0.638044i
\(304\) 1.58740e39 + 7.74898e38i 0.298337 + 0.145636i
\(305\) 6.07223e39 1.08281
\(306\) −9.04664e38 3.15596e39i −0.153089 0.534058i
\(307\) 5.18035e38i 0.0832042i 0.999134 + 0.0416021i \(0.0132462\pi\)
−0.999134 + 0.0416021i \(0.986754\pi\)
\(308\) −7.72606e36 + 4.82594e36i −0.00117800 + 0.000735818i
\(309\) −5.38370e39 −0.779373
\(310\) −3.14741e39 + 9.02215e38i −0.432680 + 0.124029i
\(311\) 4.91084e39i 0.641194i 0.947216 + 0.320597i \(0.103883\pi\)
−0.947216 + 0.320597i \(0.896117\pi\)
\(312\) 3.18462e39 3.53505e39i 0.394988 0.438452i
\(313\) −3.57734e39 −0.421552 −0.210776 0.977534i \(-0.567599\pi\)
−0.210776 + 0.977534i \(0.567599\pi\)
\(314\) −1.71622e39 5.98712e39i −0.192176 0.670415i
\(315\) 3.99231e36i 0.000424869i
\(316\) −3.28441e39 5.25816e39i −0.332249 0.531912i
\(317\) 5.68505e39 0.546746 0.273373 0.961908i \(-0.411861\pi\)
0.273373 + 0.961908i \(0.411861\pi\)
\(318\) 9.95808e39 2.85451e39i 0.910629 0.261034i
\(319\) 2.71567e40i 2.36171i
\(320\) 9.99301e38 + 9.55496e39i 0.0826602 + 0.790368i
\(321\) 6.73759e38 0.0530181
\(322\) 3.05679e35 + 1.06637e36i 2.28861e−5 + 7.98390e-5i
\(323\) 4.62258e39i 0.329340i
\(324\) 1.58018e39 9.87027e38i 0.107148 0.0669282i
\(325\) −5.07916e39 −0.327837
\(326\) 2.71295e40 7.77673e39i 1.66709 0.477876i
\(327\) 5.31490e39i 0.310979i
\(328\) −5.78168e37 5.20854e37i −0.00322161 0.00290225i
\(329\) 2.50281e37 0.00132829
\(330\) 4.17986e39 + 1.45816e40i 0.211319 + 0.737196i
\(331\) 1.18264e40i 0.569643i −0.958581 0.284822i \(-0.908066\pi\)
0.958581 0.284822i \(-0.0919344\pi\)
\(332\) −1.59019e40 2.54581e40i −0.729860 1.16847i
\(333\) 1.17777e40 0.515171
\(334\) −1.75823e40 + 5.04002e39i −0.733049 + 0.210130i
\(335\) 1.61590e40i 0.642239i
\(336\) 7.33057e36 1.50168e37i 0.000277785 0.000569049i
\(337\) 2.80251e39 0.101267 0.0506336 0.998717i \(-0.483876\pi\)
0.0506336 + 0.998717i \(0.483876\pi\)
\(338\) 1.66681e39 + 5.81475e39i 0.0574407 + 0.200384i
\(339\) 1.87180e39i 0.0615267i
\(340\) −2.13228e40 + 1.33189e40i −0.668625 + 0.417644i
\(341\) −2.75436e40 −0.824045
\(342\) 6.26041e39 1.79456e39i 0.178725 0.0512320i
\(343\) 7.00789e37i 0.00190933i
\(344\) −3.17212e40 + 3.52117e40i −0.824925 + 0.915698i
\(345\) 1.84722e39 0.0458579
\(346\) −9.24768e38 3.22609e39i −0.0219187 0.0764644i
\(347\) 2.15434e40i 0.487577i −0.969828 0.243789i \(-0.921610\pi\)
0.969828 0.243789i \(-0.0783903\pi\)
\(348\) −2.63917e40 4.22516e40i −0.570425 0.913220i
\(349\) −2.12404e40 −0.438486 −0.219243 0.975670i \(-0.570359\pi\)
−0.219243 + 0.975670i \(0.570359\pi\)
\(350\) −1.71480e37 + 4.91551e36i −0.000338161 + 9.69349e-5i
\(351\) 4.88648e40i 0.920623i
\(352\) −1.40681e40 + 7.95847e40i −0.253252 + 1.43267i
\(353\) 6.57081e40 1.13038 0.565189 0.824961i \(-0.308803\pi\)
0.565189 + 0.824961i \(0.308803\pi\)
\(354\) 2.19371e40 + 7.65286e40i 0.360684 + 1.25826i
\(355\) 6.89249e40i 1.08324i
\(356\) 3.91621e40 2.44619e40i 0.588391 0.367528i
\(357\) 4.37298e37 0.000628183
\(358\) 1.20531e41 3.45507e40i 1.65566 0.474600i
\(359\) 5.03977e40i 0.662064i 0.943620 + 0.331032i \(0.107397\pi\)
−0.943620 + 0.331032i \(0.892603\pi\)
\(360\) 2.63158e40 + 2.37071e40i 0.330656 + 0.297878i
\(361\) 7.40287e40 0.889785
\(362\) −1.88459e40 6.57447e40i −0.216710 0.756003i
\(363\) 6.73206e40i 0.740699i
\(364\) −4.27368e37 6.84193e37i −0.000449966 0.000720371i
\(365\) −7.48343e40 −0.754076
\(366\) −9.00782e40 + 2.58212e40i −0.868805 + 0.249045i
\(367\) 1.14455e41i 1.05676i 0.849008 + 0.528380i \(0.177200\pi\)
−0.849008 + 0.528380i \(0.822800\pi\)
\(368\) 8.84431e39 + 4.31741e39i 0.0781806 + 0.0381644i
\(369\) −2.86902e38 −0.00242835
\(370\) −2.48523e40 8.66984e40i −0.201437 0.702722i
\(371\) 1.75636e38i 0.00136342i
\(372\) 4.28536e40 2.67677e40i 0.318640 0.199033i
\(373\) 1.14383e40 0.0814742 0.0407371 0.999170i \(-0.487029\pi\)
0.0407371 + 0.999170i \(0.487029\pi\)
\(374\) −2.03306e41 + 5.82782e40i −1.38741 + 0.397704i
\(375\) 1.10317e41i 0.721344i
\(376\) 1.48622e41 1.64976e41i 0.931272 1.03375i
\(377\) −2.40490e41 −1.44423
\(378\) −4.72904e37 1.64974e38i −0.000272210 0.000949616i
\(379\) 1.18219e41i 0.652321i 0.945314 + 0.326161i \(0.105755\pi\)
−0.945314 + 0.326161i \(0.894245\pi\)
\(380\) −2.64204e40 4.22977e40i −0.139766 0.223758i
\(381\) 2.09113e41 1.06067
\(382\) 7.21972e40 2.06955e40i 0.351161 0.100661i
\(383\) 3.95929e41i 1.84687i −0.383751 0.923437i \(-0.625368\pi\)
0.383751 0.923437i \(-0.374632\pi\)
\(384\) −5.54550e40 1.37493e41i −0.248108 0.615151i
\(385\) 2.57183e38 0.00110375
\(386\) −5.47305e40 1.90930e41i −0.225337 0.786098i
\(387\) 1.74730e41i 0.690227i
\(388\) 1.22179e41 7.63167e40i 0.463115 0.289276i
\(389\) −5.23472e41 −1.90414 −0.952072 0.305874i \(-0.901052\pi\)
−0.952072 + 0.305874i \(0.901052\pi\)
\(390\) −1.29130e41 + 3.70154e40i −0.450809 + 0.129226i
\(391\) 2.57551e40i 0.0863048i
\(392\) 2.30967e41 + 2.08071e41i 0.742972 + 0.669321i
\(393\) 2.20405e41 0.680677
\(394\) 5.10319e40 + 1.78027e41i 0.151322 + 0.527893i
\(395\) 1.75032e41i 0.498385i
\(396\) 1.57853e41 + 2.52715e41i 0.431649 + 0.691047i
\(397\) 2.03759e41 0.535143 0.267571 0.963538i \(-0.413779\pi\)
0.267571 + 0.963538i \(0.413779\pi\)
\(398\) −2.59783e41 + 7.44676e40i −0.655363 + 0.187862i
\(399\) 8.67459e37i 0.000210224i
\(400\) −6.94268e40 + 1.42222e41i −0.161647 + 0.331137i
\(401\) 5.34108e41 1.19487 0.597433 0.801919i \(-0.296187\pi\)
0.597433 + 0.801919i \(0.296187\pi\)
\(402\) 6.87134e40 + 2.39710e41i 0.147715 + 0.515310i
\(403\) 2.43917e41i 0.503919i
\(404\) −4.10874e41 + 2.56645e41i −0.815843 + 0.509601i
\(405\) −5.26006e40 −0.100395
\(406\) −8.11928e38 + 2.32741e38i −0.00148971 + 0.000427029i
\(407\) 7.58714e41i 1.33834i
\(408\) 2.59676e41 2.88250e41i 0.440422 0.488886i
\(409\) 3.50235e41 0.571199 0.285599 0.958349i \(-0.407807\pi\)
0.285599 + 0.958349i \(0.407807\pi\)
\(410\) 6.05399e38 + 2.11196e39i 0.000949510 + 0.00331241i
\(411\) 6.50789e41i 0.981683i
\(412\) 4.29023e41 + 6.86842e41i 0.622479 + 0.996555i
\(413\) 1.34977e39 0.00188391
\(414\) 3.48804e40 9.99856e39i 0.0468356 0.0134255i
\(415\) 8.47443e41i 1.09482i
\(416\) −7.04774e41 1.24582e41i −0.876106 0.154868i
\(417\) 3.63070e41 0.434324
\(418\) −1.15605e41 4.03294e41i −0.133093 0.464302i
\(419\) 9.79209e40i 0.108505i 0.998527 + 0.0542526i \(0.0172776\pi\)
−0.998527 + 0.0542526i \(0.982722\pi\)
\(420\) −4.00138e38 + 2.49939e38i −0.000426797 + 0.000266590i
\(421\) −1.90222e42 −1.95321 −0.976603 0.215052i \(-0.931008\pi\)
−0.976603 + 0.215052i \(0.931008\pi\)
\(422\) 5.49851e41 1.57616e41i 0.543558 0.155812i
\(423\) 8.18653e41i 0.779209i
\(424\) −1.15772e42 1.04296e42i −1.06109 0.955902i
\(425\) −4.14159e41 −0.365548
\(426\) 2.93092e41 + 1.02246e42i 0.249144 + 0.869149i
\(427\) 1.58875e39i 0.00130080i
\(428\) −5.36913e40 8.59568e40i −0.0423452 0.0677923i
\(429\) −1.13004e42 −0.858572
\(430\) 1.28623e42 3.68701e41i 0.941507 0.269885i
\(431\) 5.57257e41i 0.393024i 0.980501 + 0.196512i \(0.0629615\pi\)
−0.980501 + 0.196512i \(0.937039\pi\)
\(432\) −1.36827e42 6.67930e41i −0.929890 0.453932i
\(433\) 2.19637e42 1.43846 0.719231 0.694771i \(-0.244494\pi\)
0.719231 + 0.694771i \(0.244494\pi\)
\(434\) −2.36058e38 8.23497e38i −0.000148999 0.000519788i
\(435\) 1.40646e42i 0.855658i
\(436\) −6.78064e41 + 4.23540e41i −0.397637 + 0.248376i
\(437\) −5.10898e40 −0.0288823
\(438\) 1.11013e42 3.18221e41i 0.605043 0.173437i
\(439\) 2.85773e42i 1.50172i 0.660462 + 0.750859i \(0.270360\pi\)
−0.660462 + 0.750859i \(0.729640\pi\)
\(440\) 1.52721e42 1.69526e42i 0.773846 0.858999i
\(441\) 1.14612e42 0.560031
\(442\) −5.16091e41 1.80040e42i −0.243204 0.848426i
\(443\) 9.08746e41i 0.413031i 0.978443 + 0.206516i \(0.0662124\pi\)
−0.978443 + 0.206516i \(0.933788\pi\)
\(444\) 7.37341e41 + 1.18044e42i 0.323252 + 0.517508i
\(445\) −1.30362e42 −0.551304
\(446\) 2.18191e42 6.25450e41i 0.890182 0.255173i
\(447\) 1.14003e42i 0.448740i
\(448\) −2.49999e39 + 2.61460e38i −0.000949487 + 9.93016e-5i
\(449\) 4.17788e42 1.53114 0.765570 0.643353i \(-0.222457\pi\)
0.765570 + 0.643353i \(0.222457\pi\)
\(450\) 1.60783e41 + 5.60900e41i 0.0568645 + 0.198374i
\(451\) 1.84822e40i 0.00630853i
\(452\) −2.38800e41 + 1.49162e41i −0.0786719 + 0.0491409i
\(453\) −2.04416e42 −0.650044
\(454\) −2.90534e42 + 8.32824e41i −0.891874 + 0.255658i
\(455\) 2.27753e39i 0.000674965i
\(456\) 5.71796e41 + 5.15114e41i 0.163608 + 0.147389i
\(457\) −3.75807e42 −1.03826 −0.519130 0.854695i \(-0.673744\pi\)
−0.519130 + 0.854695i \(0.673744\pi\)
\(458\) 4.22484e41 + 1.47386e42i 0.112710 + 0.393194i
\(459\) 3.98447e42i 1.02652i
\(460\) −1.47204e41 2.35665e41i −0.0366263 0.0586368i
\(461\) −1.39943e42 −0.336307 −0.168153 0.985761i \(-0.553780\pi\)
−0.168153 + 0.985761i \(0.553780\pi\)
\(462\) −3.81517e39 + 1.09363e39i −0.000885611 + 0.000253863i
\(463\) 1.36252e42i 0.305525i 0.988263 + 0.152762i \(0.0488169\pi\)
−0.988263 + 0.152762i \(0.951183\pi\)
\(464\) −3.28725e42 + 6.73399e42i −0.712106 + 1.45876i
\(465\) −1.42650e42 −0.298556
\(466\) −4.05050e41 1.41303e42i −0.0819094 0.285744i
\(467\) 7.19617e42i 1.40615i −0.711116 0.703074i \(-0.751810\pi\)
0.711116 0.703074i \(-0.248190\pi\)
\(468\) −2.23795e42 + 1.39789e42i −0.422588 + 0.263962i
\(469\) 4.22788e39 0.000771537
\(470\) −6.02631e42 + 1.72746e42i −1.06288 + 0.304678i
\(471\) 2.71354e42i 0.462596i
\(472\) 8.01521e42 8.89719e42i 1.32082 1.46616i
\(473\) 1.12560e43 1.79311
\(474\) −7.44296e41 2.59651e42i −0.114628 0.399886i
\(475\) 8.21558e41i 0.122332i
\(476\) −3.48479e39 5.57896e39i −0.000501725 0.000803234i
\(477\) −5.74493e42 −0.799817
\(478\) −4.81263e42 + 1.37955e42i −0.647941 + 0.185734i
\(479\) 3.01680e42i 0.392806i −0.980523 0.196403i \(-0.937074\pi\)
0.980523 0.196403i \(-0.0629261\pi\)
\(480\) −7.28596e41 + 4.12174e42i −0.0917544 + 0.519064i
\(481\) 6.71890e42 0.818422
\(482\) 3.89673e42 + 1.35939e43i 0.459143 + 1.60174i
\(483\) 4.83312e38i 5.50901e-5i
\(484\) 8.58863e42 5.36472e42i 0.947105 0.591591i
\(485\) −4.06706e42 −0.433924
\(486\) −8.85526e42 + 2.53838e42i −0.914157 + 0.262046i
\(487\) 7.87682e42i 0.786842i 0.919358 + 0.393421i \(0.128708\pi\)
−0.919358 + 0.393421i \(0.871292\pi\)
\(488\) 1.04725e43 + 9.43434e42i 1.01235 + 0.911999i
\(489\) 1.22959e43 1.15032
\(490\) −2.41845e42 8.43686e42i −0.218978 0.763912i
\(491\) 1.58573e43i 1.38971i 0.719150 + 0.694855i \(0.244531\pi\)
−0.719150 + 0.694855i \(0.755469\pi\)
\(492\) −1.79615e40 2.87554e40i −0.00152371 0.00243937i
\(493\) −1.96097e43 −1.61035
\(494\) 3.57143e42 1.02376e42i 0.283929 0.0813891i
\(495\) 8.41231e42i 0.647489i
\(496\) −6.82995e42 3.33409e42i −0.508991 0.248468i
\(497\) 1.80337e40 0.00130132
\(498\) −3.60361e42 1.25713e43i −0.251807 0.878440i
\(499\) 1.31326e43i 0.888670i 0.895861 + 0.444335i \(0.146560\pi\)
−0.895861 + 0.444335i \(0.853440\pi\)
\(500\) 1.40740e43 8.79109e42i 0.922357 0.576133i
\(501\) −7.96884e42 −0.505815
\(502\) 2.03558e43 5.83506e42i 1.25150 0.358745i
\(503\) 4.56337e42i 0.271767i 0.990725 + 0.135884i \(0.0433874\pi\)
−0.990725 + 0.135884i \(0.956613\pi\)
\(504\) −6.20279e39 + 6.88534e39i −0.000357848 + 0.000397225i
\(505\) 1.36771e43 0.764419
\(506\) −6.44104e41 2.24698e42i −0.0348777 0.121672i
\(507\) 2.63542e42i 0.138268i
\(508\) −1.66641e43 2.66783e43i −0.847153 1.35625i
\(509\) −1.03750e42 −0.0511097 −0.0255549 0.999673i \(-0.508135\pi\)
−0.0255549 + 0.999673i \(0.508135\pi\)
\(510\) −1.05293e43 + 3.01826e42i −0.502665 + 0.144090i
\(511\) 1.95798e40i 0.000905889i
\(512\) −1.31220e43 + 1.80316e43i −0.588409 + 0.808563i
\(513\) 7.90392e42 0.343530
\(514\) −6.85091e42 2.38997e43i −0.288628 1.00689i
\(515\) 2.28634e43i 0.933740i
\(516\) −1.75127e43 + 1.09390e43i −0.693358 + 0.433093i
\(517\) −5.27374e43 −2.02428
\(518\) 2.26840e40 6.50242e39i 0.000844196 0.000241991i
\(519\) 1.46216e42i 0.0527616i
\(520\) 1.50126e43 + 1.35244e43i 0.525294 + 0.473221i
\(521\) 1.65964e43 0.563132 0.281566 0.959542i \(-0.409146\pi\)
0.281566 + 0.959542i \(0.409146\pi\)
\(522\) 7.61283e42 + 2.65577e43i 0.250506 + 0.873901i
\(523\) 4.85049e43i 1.54795i 0.633213 + 0.773977i \(0.281736\pi\)
−0.633213 + 0.773977i \(0.718264\pi\)
\(524\) −1.75639e43 2.81189e43i −0.543652 0.870357i
\(525\) −7.77198e39 −0.000233336
\(526\) 3.32952e43 9.54416e42i 0.969639 0.277950i
\(527\) 1.98892e43i 0.561884i
\(528\) −1.54465e43 + 3.16424e43i −0.423337 + 0.867215i
\(529\) 3.73243e43 0.992431
\(530\) 1.21225e43 + 4.22899e43i 0.312736 + 1.09099i
\(531\) 4.41502e43i 1.10515i
\(532\) 1.10669e40 6.91271e39i 0.000268806 0.000167904i
\(533\) −1.63671e41 −0.00385778
\(534\) 1.93385e43 5.54343e42i 0.442346 0.126800i
\(535\) 2.86131e42i 0.0635192i
\(536\) 2.51060e43 2.78686e43i 0.540929 0.600452i
\(537\) 5.46285e43 1.14243
\(538\) 1.35179e43 + 4.71579e43i 0.274406 + 0.957278i
\(539\) 7.38326e43i 1.45488i
\(540\) 2.27733e43 + 3.64589e43i 0.435639 + 0.697434i
\(541\) −4.36755e43 −0.811114 −0.405557 0.914070i \(-0.632922\pi\)
−0.405557 + 0.914070i \(0.632922\pi\)
\(542\) −1.14166e43 + 3.27261e42i −0.205849 + 0.0590073i
\(543\) 2.97975e43i 0.521653i
\(544\) −5.74678e43 1.01585e43i −0.976882 0.172682i
\(545\) 2.25712e43 0.372573
\(546\) −9.68480e39 3.37858e40i −0.000155242 0.000541567i
\(547\) 1.01722e44i 1.58351i 0.610842 + 0.791753i \(0.290831\pi\)
−0.610842 + 0.791753i \(0.709169\pi\)
\(548\) −8.30264e43 + 5.18609e43i −1.25524 + 0.784063i
\(549\) 5.19672e43 0.763083
\(550\) 3.61330e43 1.03576e43i 0.515348 0.147726i
\(551\) 3.88994e43i 0.538912i
\(552\) 3.18581e42 + 2.87000e42i 0.0428741 + 0.0386240i
\(553\) −4.57959e40 −0.000598721
\(554\) −9.93390e42 3.46548e43i −0.126172 0.440157i
\(555\) 3.92943e43i 0.484888i
\(556\) −2.89328e43 4.63198e43i −0.346891 0.555354i
\(557\) −1.35627e44 −1.58002 −0.790009 0.613096i \(-0.789924\pi\)
−0.790009 + 0.613096i \(0.789924\pi\)
\(558\) −2.69361e43 + 7.72130e42i −0.304921 + 0.0874065i
\(559\) 9.96796e43i 1.09652i
\(560\) 6.37733e40 + 3.11314e40i 0.000681759 + 0.000332805i
\(561\) −9.21443e43 −0.957332
\(562\) −3.62902e43 1.26600e44i −0.366445 1.27836i
\(563\) 2.89870e43i 0.284492i −0.989831 0.142246i \(-0.954568\pi\)
0.989831 0.142246i \(-0.0454323\pi\)
\(564\) 8.20512e43 5.12517e43i 0.782743 0.488926i
\(565\) 7.94913e42 0.0737130
\(566\) −6.97005e43 + 1.99798e43i −0.628309 + 0.180106i
\(567\) 1.37625e40i 0.000120606i
\(568\) 1.07088e44 1.18871e44i 0.912359 1.01275i
\(569\) 5.38772e43 0.446281 0.223141 0.974786i \(-0.428369\pi\)
0.223141 + 0.974786i \(0.428369\pi\)
\(570\) −5.98727e42 2.08868e43i −0.0482204 0.168219i
\(571\) 1.44273e44i 1.12982i 0.825153 + 0.564909i \(0.191089\pi\)
−0.825153 + 0.564909i \(0.808911\pi\)
\(572\) 9.00520e43 + 1.44168e44i 0.685736 + 1.09782i
\(573\) 3.27219e43 0.242306
\(574\) −5.52578e38 + 1.58398e38i −3.97927e−6 + 1.14067e-6i
\(575\) 4.57738e42i 0.0320576i
\(576\) 8.55218e42 + 8.17730e43i 0.0582529 + 0.556994i
\(577\) −9.92412e42 −0.0657474 −0.0328737 0.999460i \(-0.510466\pi\)
−0.0328737 + 0.999460i \(0.510466\pi\)
\(578\) 6.79118e41 + 2.36913e42i 0.00437623 + 0.0152666i
\(579\) 8.65351e43i 0.542419i
\(580\) 1.79434e44 1.12080e44i 1.09410 0.683407i
\(581\) −2.21727e41 −0.00131523
\(582\) 6.03327e43 1.72945e43i 0.348165 0.0998023i
\(583\) 3.70087e44i 2.07781i
\(584\) −1.29063e44 1.16269e44i −0.705012 0.635123i
\(585\) 7.44965e43 0.395951
\(586\) −2.86571e43 9.99715e43i −0.148208 0.517028i
\(587\) 1.21624e44i 0.612083i −0.952018 0.306042i \(-0.900995\pi\)
0.952018 0.306042i \(-0.0990046\pi\)
\(588\) 7.17527e43 + 1.14872e44i 0.351399 + 0.562571i
\(589\) 3.94537e43 0.188037
\(590\) −3.25001e44 + 9.31623e43i −1.50748 + 0.432124i
\(591\) 8.06871e43i 0.364254i
\(592\) 9.18404e43 1.88137e44i 0.403540 0.826660i
\(593\) 1.18094e44 0.505071 0.252536 0.967588i \(-0.418736\pi\)
0.252536 + 0.967588i \(0.418736\pi\)
\(594\) 9.96469e43 + 3.47622e44i 0.414840 + 1.44719i
\(595\) 1.85711e41i 0.000752604i
\(596\) −1.45442e44 + 9.08478e43i −0.573787 + 0.358405i
\(597\) −1.17742e44 −0.452211
\(598\) 1.98985e43 5.70396e42i 0.0744049 0.0213284i
\(599\) 2.39488e44i 0.871877i −0.899977 0.435938i \(-0.856417\pi\)
0.899977 0.435938i \(-0.143583\pi\)
\(600\) −4.61515e43 + 5.12300e43i −0.163594 + 0.181595i
\(601\) 1.10890e44 0.382737 0.191368 0.981518i \(-0.438708\pi\)
0.191368 + 0.981518i \(0.438708\pi\)
\(602\) 9.64679e40 + 3.36533e41i 0.000324220 + 0.00113105i
\(603\) 1.38291e44i 0.452603i
\(604\) 1.62897e44 + 2.60790e44i 0.519186 + 0.831188i
\(605\) −2.85896e44 −0.887407
\(606\) −2.02892e44 + 5.81595e43i −0.613342 + 0.175816i
\(607\) 6.73326e44i 1.98247i −0.132121 0.991234i \(-0.542179\pi\)
0.132121 0.991234i \(-0.457821\pi\)
\(608\) 2.01512e43 1.13998e44i 0.0577889 0.326918i
\(609\) −3.67990e41 −0.00102792
\(610\) −1.09657e44 3.82543e44i −0.298373 1.04089i
\(611\) 4.67024e44i 1.23788i
\(612\) −1.82484e44 + 1.13985e44i −0.471198 + 0.294325i
\(613\) 1.55932e44 0.392254 0.196127 0.980579i \(-0.437164\pi\)
0.196127 + 0.980579i \(0.437164\pi\)
\(614\) 3.26356e43 9.35508e42i 0.0799830 0.0229273i
\(615\) 9.57203e41i 0.00228561i
\(616\) 4.43551e41 + 3.99582e41i 0.00103194 + 0.000929639i
\(617\) −2.42947e44 −0.550743 −0.275371 0.961338i \(-0.588801\pi\)
−0.275371 + 0.961338i \(0.588801\pi\)
\(618\) 9.72230e43 + 3.39167e44i 0.214760 + 0.749199i
\(619\) 8.44075e44i 1.81690i 0.417996 + 0.908449i \(0.362733\pi\)
−0.417996 + 0.908449i \(0.637267\pi\)
\(620\) 1.13677e44 + 1.81990e44i 0.238454 + 0.381752i
\(621\) 4.40373e43 0.0900234
\(622\) 3.09377e44 8.86837e43i 0.616370 0.176684i
\(623\) 3.41083e41i 0.000662294i
\(624\) −2.80214e44 1.36788e44i −0.530318 0.258878i
\(625\) −2.68737e44 −0.495733
\(626\) 6.46024e43 + 2.25368e44i 0.116161 + 0.405231i
\(627\) 1.82785e44i 0.320376i
\(628\) −3.46188e44 + 2.16240e44i −0.591505 + 0.369472i
\(629\) 5.47865e44 0.912563
\(630\) 2.51511e41 7.20962e40i 0.000408421 0.000117075i
\(631\) 5.16712e44i 0.818048i 0.912524 + 0.409024i \(0.134131\pi\)
−0.912524 + 0.409024i \(0.865869\pi\)
\(632\) −2.71945e44 + 3.01870e44i −0.419767 + 0.465957i
\(633\) 2.49209e44 0.375063
\(634\) −1.02665e44 3.58151e44i −0.150659 0.525579i
\(635\) 8.88061e44i 1.27076i
\(636\) −3.59661e44 5.75798e44i −0.501857 0.803445i
\(637\) 6.53835e44 0.889687
\(638\) 1.71084e45 4.90416e44i 2.27027 0.650780i
\(639\) 5.89871e44i 0.763385i
\(640\) 5.83905e44 2.35506e44i 0.736992 0.297250i
\(641\) −1.90781e44 −0.234859 −0.117429 0.993081i \(-0.537465\pi\)
−0.117429 + 0.993081i \(0.537465\pi\)
\(642\) −1.21673e43 4.24460e43i −0.0146094 0.0509655i
\(643\) 2.24114e44i 0.262478i −0.991351 0.131239i \(-0.958104\pi\)
0.991351 0.131239i \(-0.0418956\pi\)
\(644\) 6.16600e40 3.85148e40i 7.04417e−5 4.40001e-5i
\(645\) 5.82958e44 0.649654
\(646\) 2.91217e44 8.34781e43i 0.316589 0.0907512i
\(647\) 1.04450e45i 1.10775i 0.832601 + 0.553873i \(0.186851\pi\)
−0.832601 + 0.553873i \(0.813149\pi\)
\(648\) −9.07176e43 8.17247e43i −0.0938623 0.0845577i
\(649\) −2.84414e45 −2.87102
\(650\) 9.17234e43 + 3.19981e44i 0.0903372 + 0.315145i
\(651\) 3.73234e41i 0.000358662i
\(652\) −9.79850e44 1.56869e45i −0.918751 1.47087i
\(653\) 1.37316e45 1.25635 0.628174 0.778073i \(-0.283803\pi\)
0.628174 + 0.778073i \(0.283803\pi\)
\(654\) −3.34832e44 + 9.59805e43i −0.298939 + 0.0856917i
\(655\) 9.36015e44i 0.815497i
\(656\) −2.23722e42 + 4.58299e42i −0.00190216 + 0.00389661i
\(657\) −6.40445e44 −0.531417
\(658\) −4.51976e41 1.57674e42i −0.000366017 0.00127687i
\(659\) 4.41987e43i 0.0349336i 0.999847 + 0.0174668i \(0.00556014\pi\)
−0.999847 + 0.0174668i \(0.994440\pi\)
\(660\) 8.43142e44 5.26653e44i 0.650426 0.406276i
\(661\) −2.19392e45 −1.65195 −0.825974 0.563708i \(-0.809374\pi\)
−0.825974 + 0.563708i \(0.809374\pi\)
\(662\) −7.45046e44 + 2.13569e44i −0.547590 + 0.156968i
\(663\) 8.15998e44i 0.585427i
\(664\) −1.31666e45 + 1.46154e45i −0.922113 + 1.02358i
\(665\) −3.68392e41 −0.000251862
\(666\) −2.12690e44 7.41979e44i −0.141958 0.495227i
\(667\) 2.16732e44i 0.141224i
\(668\) 6.35031e44 + 1.01665e45i 0.403991 + 0.646767i
\(669\) 9.88906e44 0.614239
\(670\) −1.01800e45 + 2.91811e44i −0.617375 + 0.176972i
\(671\) 3.34771e45i 1.98238i
\(672\) −1.07842e42 1.90632e41i −0.000623564 0.000110227i
\(673\) 2.14147e45 1.20912 0.604562 0.796558i \(-0.293348\pi\)
0.604562 + 0.796558i \(0.293348\pi\)
\(674\) −5.06099e43 1.76555e44i −0.0279047 0.0973467i
\(675\) 7.08149e44i 0.381298i
\(676\) 3.36222e44 2.10015e44i 0.176799 0.110434i
\(677\) 2.65983e45 1.36595 0.682975 0.730441i \(-0.260686\pi\)
0.682975 + 0.730441i \(0.260686\pi\)
\(678\) −1.17921e44 + 3.38023e43i −0.0591447 + 0.0169540i
\(679\) 1.06412e42i 0.000521282i
\(680\) 1.22414e45 + 1.10279e45i 0.585718 + 0.527655i
\(681\) −1.31679e45 −0.615407
\(682\) 4.97404e44 + 1.73522e45i 0.227070 + 0.792143i
\(683\) 4.16209e44i 0.185601i 0.995685 + 0.0928005i \(0.0295819\pi\)
−0.995685 + 0.0928005i \(0.970418\pi\)
\(684\) −2.26111e44 3.61991e44i −0.0984970 0.157688i
\(685\) 2.76376e45 1.17612
\(686\) 4.41488e42 1.26554e42i 0.00183541 0.000526126i
\(687\) 6.67995e44i 0.271310i
\(688\) 2.79114e45 + 1.36252e45i 1.10756 + 0.540663i
\(689\) −3.27736e45 −1.27062
\(690\) −3.33586e43 1.16373e44i −0.0126364 0.0440825i
\(691\) 3.56018e45i 1.31772i −0.752265 0.658860i \(-0.771039\pi\)
0.752265 0.658860i \(-0.228961\pi\)
\(692\) −1.86540e44 + 1.16518e44i −0.0674643 + 0.0421403i
\(693\) 2.20102e42 0.000777843
\(694\) −1.35721e45 + 3.89048e44i −0.468701 + 0.134354i
\(695\) 1.54188e45i 0.520349i
\(696\) −2.18520e45 + 2.42566e45i −0.720681 + 0.799984i
\(697\) −1.33459e43 −0.00430154
\(698\) 3.83575e44 + 1.33812e45i 0.120827 + 0.421510i
\(699\) 6.40429e44i 0.197168i
\(700\) 6.19343e41 + 9.91534e41i 0.000186364 + 0.000298359i
\(701\) 1.22041e45 0.358936 0.179468 0.983764i \(-0.442562\pi\)
0.179468 + 0.983764i \(0.442562\pi\)
\(702\) −3.07842e45 + 8.82438e44i −0.884982 + 0.253682i
\(703\) 1.08679e45i 0.305393i
\(704\) 5.26779e45 5.50929e44i 1.44699 0.151333i
\(705\) −2.73130e45 −0.733405
\(706\) −1.18661e45 4.13953e45i −0.311481 1.08662i
\(707\) 3.57851e42i 0.000918314i
\(708\) 4.42505e45 2.76402e45i 1.11016 0.693441i
\(709\) −1.04935e45 −0.257383 −0.128691 0.991685i \(-0.541078\pi\)
−0.128691 + 0.991685i \(0.541078\pi\)
\(710\) −4.34219e45 + 1.24470e45i −1.04130 + 0.298491i
\(711\) 1.49796e45i 0.351225i
\(712\) −2.24829e45 2.02542e45i −0.515433 0.464338i
\(713\) 2.19820e44 0.0492759
\(714\) −7.89706e41 2.75492e42i −0.000173099 0.000603863i
\(715\) 4.79904e45i 1.02863i
\(716\) −4.35330e45 6.96939e45i −0.912452 1.46079i
\(717\) −2.18123e45 −0.447089
\(718\) 3.17500e45 9.10121e44i 0.636432 0.182435i
\(719\) 6.79956e45i 1.33296i 0.745521 + 0.666482i \(0.232201\pi\)
−0.745521 + 0.666482i \(0.767799\pi\)
\(720\) 1.01829e45 2.08599e45i 0.195232 0.399937i
\(721\) 5.98205e42 0.00112172
\(722\) −1.33687e45 4.66372e45i −0.245185 0.855337i
\(723\) 6.16117e45i 1.10522i
\(724\) −3.80150e45 + 2.37454e45i −0.667019 + 0.416641i
\(725\) 3.48519e45 0.598161
\(726\) 4.24112e45 1.21573e45i 0.712023 0.204103i
\(727\) 1.35491e45i 0.222515i −0.993792 0.111257i \(-0.964512\pi\)
0.993792 0.111257i \(-0.0354878\pi\)
\(728\) −3.53856e42 + 3.92793e42i −0.000568492 + 0.000631048i
\(729\) −4.81729e45 −0.757116
\(730\) 1.35142e45 + 4.71447e45i 0.207789 + 0.724882i
\(731\) 8.12795e45i 1.22265i
\(732\) 3.25340e45 + 5.20852e45i 0.478807 + 0.766544i
\(733\) 6.94890e45 1.00058 0.500291 0.865857i \(-0.333226\pi\)
0.500291 + 0.865857i \(0.333226\pi\)
\(734\) 7.21051e45 2.06691e45i 1.01585 0.291196i
\(735\) 3.82384e45i 0.527111i
\(736\) 1.12274e44 6.35148e44i 0.0151438 0.0856702i
\(737\) −8.90868e45 −1.17580
\(738\) 5.18110e42 + 1.80745e43i 0.000669145 + 0.00233434i
\(739\) 7.67315e45i 0.969757i −0.874582 0.484879i \(-0.838864\pi\)
0.874582 0.484879i \(-0.161136\pi\)
\(740\) −5.01309e45 + 3.13133e45i −0.620009 + 0.387277i
\(741\) 1.61868e45 0.195916
\(742\) −1.10648e43 + 3.17176e42i −0.00131064 + 0.000375697i
\(743\) 5.23761e45i 0.607173i 0.952804 + 0.303587i \(0.0981842\pi\)
−0.952804 + 0.303587i \(0.901816\pi\)
\(744\) −2.46022e45 2.21634e45i −0.279130 0.251460i
\(745\) 4.84145e45 0.537620
\(746\) −2.06562e44 7.20599e44i −0.0224506 0.0783200i
\(747\) 7.25256e45i 0.771545i
\(748\) 7.34291e45 + 1.17556e46i 0.764614 + 1.22411i
\(749\) −7.48641e41 −7.63070e−5
\(750\) 6.94985e45 1.99219e45i 0.693418 0.198770i
\(751\) 1.05662e46i 1.03200i −0.856587 0.516002i \(-0.827420\pi\)
0.856587 0.516002i \(-0.172580\pi\)
\(752\) −1.30772e46 6.38372e45i −1.25034 0.610364i
\(753\) 9.22588e45 0.863551