Properties

Label 4.33.b.b.3.8
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 3.8
Root \(-4.36932e6i\) of defining polynomial
Character \(\chi\) \(=\) 4.3
Dual form 4.33.b.b.3.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-15224.0 + 63743.2i) q^{2} -6.99091e7i q^{3} +(-3.83143e9 - 1.94085e9i) q^{4} -1.46681e11 q^{5} +(4.45623e12 + 1.06430e12i) q^{6} -5.71644e13i q^{7} +(1.82046e14 - 2.14680e14i) q^{8} -3.03426e15 q^{9} +O(q^{10})\) \(q+(-15224.0 + 63743.2i) q^{2} -6.99091e7i q^{3} +(-3.83143e9 - 1.94085e9i) q^{4} -1.46681e11 q^{5} +(4.45623e12 + 1.06430e12i) q^{6} -5.71644e13i q^{7} +(1.82046e14 - 2.14680e14i) q^{8} -3.03426e15 q^{9} +(2.23307e15 - 9.34993e15i) q^{10} -6.39967e16i q^{11} +(-1.35683e17 + 2.67852e17i) q^{12} +3.82332e17 q^{13} +(3.64385e18 + 8.70272e17i) q^{14} +1.02543e19i q^{15} +(1.09129e19 + 1.48725e19i) q^{16} -4.07694e19 q^{17} +(4.61937e19 - 1.93414e20i) q^{18} +6.13984e19i q^{19} +(5.61998e20 + 2.84687e20i) q^{20} -3.99632e21 q^{21} +(4.07936e21 + 9.74287e20i) q^{22} +2.81087e20i q^{23} +(-1.50081e22 - 1.27267e22i) q^{24} -1.76771e21 q^{25} +(-5.82063e21 + 2.43711e22i) q^{26} +8.25797e22i q^{27} +(-1.10948e23 + 2.19021e23i) q^{28} +9.24035e22 q^{29} +(-6.53645e23 - 1.56112e23i) q^{30} -4.23845e23i q^{31} +(-1.11416e24 + 4.69206e23i) q^{32} -4.47396e24 q^{33} +(6.20674e23 - 2.59877e24i) q^{34} +8.38495e24i q^{35} +(1.16256e25 + 5.88906e24i) q^{36} -4.96114e23 q^{37} +(-3.91373e24 - 9.34729e23i) q^{38} -2.67285e25i q^{39} +(-2.67027e25 + 3.14895e25i) q^{40} +7.78015e25 q^{41} +(6.08399e25 - 2.54738e26i) q^{42} -5.67810e24i q^{43} +(-1.24208e26 + 2.45199e26i) q^{44} +4.45069e26 q^{45} +(-1.79174e25 - 4.27927e24i) q^{46} +2.70622e26i q^{47} +(1.03972e27 - 7.62912e26i) q^{48} -2.16335e27 q^{49} +(2.69116e25 - 1.12679e26i) q^{50} +2.85015e27i q^{51} +(-1.46488e27 - 7.42051e26i) q^{52} +1.23036e27 q^{53} +(-5.26390e27 - 1.25719e27i) q^{54} +9.38712e27i q^{55} +(-1.22721e28 - 1.04066e28i) q^{56} +4.29231e27 q^{57} +(-1.40675e27 + 5.89010e27i) q^{58} +3.43224e27i q^{59} +(1.99022e28 - 3.92888e28i) q^{60} +4.92044e28 q^{61} +(2.70172e28 + 6.45261e27i) q^{62} +1.73452e29i q^{63} +(-1.29467e28 - 7.81632e28i) q^{64} -5.60809e28 q^{65} +(6.81115e28 - 2.85184e29i) q^{66} -1.86282e29i q^{67} +(1.56205e29 + 7.91275e28i) q^{68} +1.96506e28 q^{69} +(-5.34483e29 - 1.27652e29i) q^{70} +7.39887e29i q^{71} +(-5.52375e29 + 6.51395e29i) q^{72} +1.01270e30 q^{73} +(7.55284e27 - 3.16239e28i) q^{74} +1.23579e29i q^{75} +(1.19165e29 - 2.35243e29i) q^{76} -3.65834e30 q^{77} +(1.70376e30 + 4.06915e29i) q^{78} -2.63707e30i q^{79} +(-1.60072e30 - 2.18151e30i) q^{80} +1.50522e29 q^{81} +(-1.18445e30 + 4.95932e30i) q^{82} -5.56904e30i q^{83} +(1.53116e31 + 7.75627e30i) q^{84} +5.98011e30 q^{85} +(3.61940e29 + 8.64434e28i) q^{86} -6.45985e30i q^{87} +(-1.37388e31 - 1.16503e31i) q^{88} +1.36383e31 q^{89} +(-6.77574e30 + 2.83701e31i) q^{90} -2.18558e31i q^{91} +(5.45549e29 - 1.07697e30i) q^{92} -2.96306e31 q^{93} +(-1.72503e31 - 4.11995e30i) q^{94} -9.00598e30i q^{95} +(3.28017e31 + 7.78898e31i) q^{96} -9.37964e31 q^{97} +(3.29348e31 - 1.37899e32i) q^{98} +1.94183e32i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −15224.0 + 63743.2i −0.232300 + 0.972644i
\(3\) 6.99091e7i 1.62403i −0.583637 0.812014i \(-0.698371\pi\)
0.583637 0.812014i \(-0.301629\pi\)
\(4\) −3.83143e9 1.94085e9i −0.892074 0.451890i
\(5\) −1.46681e11 −0.961290 −0.480645 0.876915i \(-0.659597\pi\)
−0.480645 + 0.876915i \(0.659597\pi\)
\(6\) 4.45623e12 + 1.06430e12i 1.57960 + 0.377262i
\(7\) 5.71644e13i 1.72011i −0.510198 0.860057i \(-0.670428\pi\)
0.510198 0.860057i \(-0.329572\pi\)
\(8\) 1.82046e14 2.14680e14i 0.646757 0.762696i
\(9\) −3.03426e15 −1.63747
\(10\) 2.23307e15 9.34993e15i 0.223307 0.934993i
\(11\) 6.39967e16i 1.39276i −0.717675 0.696378i \(-0.754794\pi\)
0.717675 0.696378i \(-0.245206\pi\)
\(12\) −1.35683e17 + 2.67852e17i −0.733883 + 1.44875i
\(13\) 3.82332e17 0.574576 0.287288 0.957844i \(-0.407246\pi\)
0.287288 + 0.957844i \(0.407246\pi\)
\(14\) 3.64385e18 + 8.70272e17i 1.67306 + 0.399582i
\(15\) 1.02543e19i 1.56116i
\(16\) 1.09129e19 + 1.48725e19i 0.591590 + 0.806239i
\(17\) −4.07694e19 −0.837822 −0.418911 0.908027i \(-0.637588\pi\)
−0.418911 + 0.908027i \(0.637588\pi\)
\(18\) 4.61937e19 1.93414e20i 0.380384 1.59268i
\(19\) 6.13984e19i 0.212863i 0.994320 + 0.106431i \(0.0339424\pi\)
−0.994320 + 0.106431i \(0.966058\pi\)
\(20\) 5.61998e20 + 2.84687e20i 0.857541 + 0.434397i
\(21\) −3.99632e21 −2.79352
\(22\) 4.07936e21 + 9.74287e20i 1.35466 + 0.323537i
\(23\) 2.81087e20i 0.0458348i 0.999737 + 0.0229174i \(0.00729548\pi\)
−0.999737 + 0.0229174i \(0.992705\pi\)
\(24\) −1.50081e22 1.27267e22i −1.23864 1.05035i
\(25\) −1.76771e21 −0.0759224
\(26\) −5.82063e21 + 2.43711e22i −0.133474 + 0.558858i
\(27\) 8.25797e22i 1.03527i
\(28\) −1.10948e23 + 2.19021e23i −0.777303 + 1.53447i
\(29\) 9.24035e22 0.369250 0.184625 0.982809i \(-0.440893\pi\)
0.184625 + 0.982809i \(0.440893\pi\)
\(30\) −6.53645e23 1.56112e23i −1.51846 0.362658i
\(31\) 4.23845e23i 0.582666i −0.956622 0.291333i \(-0.905901\pi\)
0.956622 0.291333i \(-0.0940987\pi\)
\(32\) −1.11416e24 + 4.69206e23i −0.921610 + 0.388118i
\(33\) −4.47396e24 −2.26188
\(34\) 6.20674e23 2.59877e24i 0.194626 0.814903i
\(35\) 8.38495e24i 1.65353i
\(36\) 1.16256e25 + 5.88906e24i 1.46074 + 0.739957i
\(37\) −4.96114e23 −0.0402118 −0.0201059 0.999798i \(-0.506400\pi\)
−0.0201059 + 0.999798i \(0.506400\pi\)
\(38\) −3.91373e24 9.34729e23i −0.207040 0.0494480i
\(39\) 2.67285e25i 0.933127i
\(40\) −2.67027e25 + 3.14895e25i −0.621721 + 0.733172i
\(41\) 7.78015e25 1.22024 0.610121 0.792308i \(-0.291121\pi\)
0.610121 + 0.792308i \(0.291121\pi\)
\(42\) 6.08399e25 2.54738e26i 0.648933 2.71710i
\(43\) 5.67810e24i 0.0415631i −0.999784 0.0207815i \(-0.993385\pi\)
0.999784 0.0207815i \(-0.00661544\pi\)
\(44\) −1.24208e26 + 2.45199e26i −0.629373 + 1.24244i
\(45\) 4.45069e26 1.57408
\(46\) −1.79174e25 4.27927e24i −0.0445810 0.0106474i
\(47\) 2.70622e26i 0.477307i 0.971105 + 0.238653i \(0.0767059\pi\)
−0.971105 + 0.238653i \(0.923294\pi\)
\(48\) 1.03972e27 7.62912e26i 1.30935 0.960760i
\(49\) −2.16335e27 −1.95879
\(50\) 2.69116e25 1.12679e26i 0.0176368 0.0738454i
\(51\) 2.85015e27i 1.36065i
\(52\) −1.46488e27 7.42051e26i −0.512564 0.259645i
\(53\) 1.23036e27 0.317408 0.158704 0.987326i \(-0.449268\pi\)
0.158704 + 0.987326i \(0.449268\pi\)
\(54\) −5.26390e27 1.25719e27i −1.00695 0.240493i
\(55\) 9.38712e27i 1.33884i
\(56\) −1.22721e28 1.04066e28i −1.31192 1.11250i
\(57\) 4.29231e27 0.345695
\(58\) −1.40675e27 + 5.89010e27i −0.0857768 + 0.359149i
\(59\) 3.43224e27i 0.159201i 0.996827 + 0.0796005i \(0.0253645\pi\)
−0.996827 + 0.0796005i \(0.974636\pi\)
\(60\) 1.99022e28 3.92888e28i 0.705474 1.39267i
\(61\) 4.92044e28 1.33883 0.669416 0.742888i \(-0.266544\pi\)
0.669416 + 0.742888i \(0.266544\pi\)
\(62\) 2.70172e28 + 6.45261e27i 0.566726 + 0.135353i
\(63\) 1.73452e29i 2.81663i
\(64\) −1.29467e28 7.81632e28i −0.163411 0.986558i
\(65\) −5.60809e28 −0.552333
\(66\) 6.81115e28 2.85184e29i 0.525433 2.20000i
\(67\) 1.86282e29i 1.12973i −0.825184 0.564864i \(-0.808929\pi\)
0.825184 0.564864i \(-0.191071\pi\)
\(68\) 1.56205e29 + 7.91275e28i 0.747399 + 0.378604i
\(69\) 1.96506e28 0.0744371
\(70\) −5.34483e29 1.27652e29i −1.60829 0.384114i
\(71\) 7.39887e29i 1.77432i 0.461463 + 0.887159i \(0.347325\pi\)
−0.461463 + 0.887159i \(0.652675\pi\)
\(72\) −5.52375e29 + 6.51395e29i −1.05904 + 1.24889i
\(73\) 1.01270e30 1.55710 0.778549 0.627583i \(-0.215956\pi\)
0.778549 + 0.627583i \(0.215956\pi\)
\(74\) 7.55284e27 3.16239e28i 0.00934120 0.0391118i
\(75\) 1.23579e29i 0.123300i
\(76\) 1.19165e29 2.35243e29i 0.0961905 0.189889i
\(77\) −3.65834e30 −2.39570
\(78\) 1.70376e30 + 4.06915e29i 0.907601 + 0.216765i
\(79\) 2.63707e30i 1.14575i −0.819644 0.572874i \(-0.805829\pi\)
0.819644 0.572874i \(-0.194171\pi\)
\(80\) −1.60072e30 2.18151e30i −0.568690 0.775029i
\(81\) 1.50522e29 0.0438367
\(82\) −1.18445e30 + 4.95932e30i −0.283462 + 1.18686i
\(83\) 5.56904e30i 1.09782i −0.835882 0.548910i \(-0.815043\pi\)
0.835882 0.548910i \(-0.184957\pi\)
\(84\) 1.53116e31 + 7.75627e30i 2.49202 + 1.26236i
\(85\) 5.98011e30 0.805390
\(86\) 3.61940e29 + 8.64434e28i 0.0404261 + 0.00965510i
\(87\) 6.45985e30i 0.599673i
\(88\) −1.37388e31 1.16503e31i −1.06225 0.900775i
\(89\) 1.36383e31 0.880073 0.440037 0.897980i \(-0.354965\pi\)
0.440037 + 0.897980i \(0.354965\pi\)
\(90\) −6.77574e30 + 2.83701e31i −0.365659 + 1.53102i
\(91\) 2.18558e31i 0.988336i
\(92\) 5.45549e29 1.07697e30i 0.0207123 0.0408880i
\(93\) −2.96306e31 −0.946266
\(94\) −1.72503e31 4.11995e30i −0.464249 0.110878i
\(95\) 9.00598e30i 0.204623i
\(96\) 3.28017e31 + 7.78898e31i 0.630314 + 1.49672i
\(97\) −9.37964e31 −1.52700 −0.763499 0.645809i \(-0.776520\pi\)
−0.763499 + 0.645809i \(0.776520\pi\)
\(98\) 3.29348e31 1.37899e32i 0.455028 1.90521i
\(99\) 1.94183e32i 2.28059i
\(100\) 6.77283e30 + 3.43086e30i 0.0677283 + 0.0343086i
\(101\) 5.72813e30 0.0488507 0.0244253 0.999702i \(-0.492224\pi\)
0.0244253 + 0.999702i \(0.492224\pi\)
\(102\) −1.81678e32 4.33908e31i −1.32343 0.316078i
\(103\) 9.76491e31i 0.608517i −0.952590 0.304258i \(-0.901591\pi\)
0.952590 0.304258i \(-0.0984087\pi\)
\(104\) 6.96020e31 8.20790e31i 0.371611 0.438227i
\(105\) 5.86184e32 2.68538
\(106\) −1.87310e31 + 7.84271e31i −0.0737339 + 0.308725i
\(107\) 2.83419e32i 0.960038i 0.877258 + 0.480019i \(0.159370\pi\)
−0.877258 + 0.480019i \(0.840630\pi\)
\(108\) 1.60275e32 3.16398e32i 0.467828 0.923536i
\(109\) −2.57765e32 −0.649232 −0.324616 0.945846i \(-0.605235\pi\)
−0.324616 + 0.945846i \(0.605235\pi\)
\(110\) −5.98365e32 1.42910e32i −1.30222 0.311013i
\(111\) 3.46829e31i 0.0653051i
\(112\) 8.50177e32 6.23831e32i 1.38682 1.01760i
\(113\) 2.01143e32 0.284610 0.142305 0.989823i \(-0.454549\pi\)
0.142305 + 0.989823i \(0.454549\pi\)
\(114\) −6.53461e31 + 2.73605e32i −0.0803049 + 0.336238i
\(115\) 4.12302e31i 0.0440606i
\(116\) −3.54037e32 1.79342e32i −0.329398 0.166861i
\(117\) −1.16010e33 −0.940850
\(118\) −2.18782e32 5.22525e31i −0.154846 0.0369824i
\(119\) 2.33056e33i 1.44115i
\(120\) 2.20140e33 + 1.86676e33i 1.19069 + 1.00969i
\(121\) −1.98421e33 −0.939768
\(122\) −7.49087e32 + 3.13644e33i −0.311011 + 1.30221i
\(123\) 5.43903e33i 1.98171i
\(124\) −8.22620e32 + 1.62393e33i −0.263301 + 0.519781i
\(125\) 3.67448e33 1.03427
\(126\) −1.10564e34 2.64063e33i −2.73958 0.654304i
\(127\) 7.58615e33i 1.65639i −0.560442 0.828194i \(-0.689369\pi\)
0.560442 0.828194i \(-0.310631\pi\)
\(128\) 5.17947e33 + 3.64691e32i 0.997530 + 0.0702370i
\(129\) −3.96951e32 −0.0674996
\(130\) 8.53776e32 3.57478e33i 0.128307 0.537224i
\(131\) 7.08226e33i 0.941523i 0.882261 + 0.470761i \(0.156021\pi\)
−0.882261 + 0.470761i \(0.843979\pi\)
\(132\) 1.71416e34 + 8.68329e33i 2.01776 + 1.02212i
\(133\) 3.50980e33 0.366148
\(134\) 1.18742e34 + 2.83596e33i 1.09882 + 0.262436i
\(135\) 1.21129e34i 0.995193i
\(136\) −7.42191e33 + 8.75238e33i −0.541868 + 0.639004i
\(137\) −1.56966e34 −1.01924 −0.509620 0.860399i \(-0.670214\pi\)
−0.509620 + 0.860399i \(0.670214\pi\)
\(138\) −2.99160e32 + 1.25259e33i −0.0172917 + 0.0724008i
\(139\) 1.66363e34i 0.856680i 0.903618 + 0.428340i \(0.140901\pi\)
−0.903618 + 0.428340i \(0.859099\pi\)
\(140\) 1.62740e34 3.21263e34i 0.747213 1.47507i
\(141\) 1.89189e34 0.775160
\(142\) −4.71628e34 1.12640e34i −1.72578 0.412174i
\(143\) 2.44680e34i 0.800243i
\(144\) −3.31127e34 4.51270e34i −0.968711 1.32019i
\(145\) −1.35539e34 −0.354956
\(146\) −1.54174e34 + 6.45529e34i −0.361714 + 1.51450i
\(147\) 1.51238e35i 3.18114i
\(148\) 1.90082e33 + 9.62884e32i 0.0358719 + 0.0181713i
\(149\) 3.15083e33 0.0533881 0.0266941 0.999644i \(-0.491502\pi\)
0.0266941 + 0.999644i \(0.491502\pi\)
\(150\) −7.87730e33 1.88136e33i −0.119927 0.0286426i
\(151\) 6.49171e34i 0.888644i −0.895867 0.444322i \(-0.853445\pi\)
0.895867 0.444322i \(-0.146555\pi\)
\(152\) 1.31810e34 + 1.11773e34i 0.162349 + 0.137670i
\(153\) 1.23705e35 1.37191
\(154\) 5.56946e34 2.33194e35i 0.556521 2.33016i
\(155\) 6.21700e34i 0.560111i
\(156\) −5.18761e34 + 1.02408e35i −0.421671 + 0.832418i
\(157\) −2.59905e35 −1.90731 −0.953653 0.300908i \(-0.902710\pi\)
−0.953653 + 0.300908i \(0.902710\pi\)
\(158\) 1.68096e35 + 4.01468e34i 1.11440 + 0.266157i
\(159\) 8.60134e34i 0.515480i
\(160\) 1.63426e35 6.88236e34i 0.885934 0.373093i
\(161\) 1.60682e34 0.0788412
\(162\) −2.29154e33 + 9.59472e33i −0.0101833 + 0.0426376i
\(163\) 1.38465e34i 0.0557619i 0.999611 + 0.0278809i \(0.00887593\pi\)
−0.999611 + 0.0278809i \(0.991124\pi\)
\(164\) −2.98091e35 1.51001e35i −1.08855 0.551416i
\(165\) 6.56245e35 2.17432
\(166\) 3.54989e35 + 8.47831e34i 1.06779 + 0.255023i
\(167\) 6.26917e35i 1.71296i −0.516182 0.856479i \(-0.672647\pi\)
0.516182 0.856479i \(-0.327353\pi\)
\(168\) −7.27513e35 + 8.57928e35i −1.80673 + 2.13060i
\(169\) −2.96601e35 −0.669863
\(170\) −9.10412e34 + 3.81191e35i −0.187092 + 0.783358i
\(171\) 1.86299e35i 0.348556i
\(172\) −1.10204e34 + 2.17552e34i −0.0187819 + 0.0370773i
\(173\) −1.09058e36 −1.69403 −0.847014 0.531570i \(-0.821602\pi\)
−0.847014 + 0.531570i \(0.821602\pi\)
\(174\) 4.11772e35 + 9.83448e34i 0.583268 + 0.139304i
\(175\) 1.01050e35i 0.130595i
\(176\) 9.51790e35 6.98391e35i 1.12289 0.823941i
\(177\) 2.39945e35 0.258547
\(178\) −2.07629e35 + 8.69346e35i −0.204441 + 0.855998i
\(179\) 1.61896e36i 1.45743i 0.684815 + 0.728717i \(0.259883\pi\)
−0.684815 + 0.728717i \(0.740117\pi\)
\(180\) −1.70525e36 8.63815e35i −1.40420 0.711313i
\(181\) −8.32130e35 −0.627096 −0.313548 0.949572i \(-0.601518\pi\)
−0.313548 + 0.949572i \(0.601518\pi\)
\(182\) 1.39316e36 + 3.32733e35i 0.961299 + 0.229590i
\(183\) 3.43983e36i 2.17430i
\(184\) 6.03438e34 + 5.11708e34i 0.0349581 + 0.0296440i
\(185\) 7.27705e34 0.0386552
\(186\) 4.51096e35 1.88875e36i 0.219817 0.920380i
\(187\) 2.60911e36i 1.16688i
\(188\) 5.25238e35 1.03687e36i 0.215690 0.425793i
\(189\) 4.72062e36 1.78078
\(190\) 5.74070e35 + 1.37107e35i 0.199025 + 0.0475338i
\(191\) 2.12110e36i 0.676127i 0.941123 + 0.338063i \(0.109772\pi\)
−0.941123 + 0.338063i \(0.890228\pi\)
\(192\) −5.46432e36 + 9.05094e35i −1.60220 + 0.265383i
\(193\) 5.32606e36 1.43711 0.718553 0.695472i \(-0.244805\pi\)
0.718553 + 0.695472i \(0.244805\pi\)
\(194\) 1.42796e36 5.97888e36i 0.354721 1.48523i
\(195\) 3.92057e36i 0.897005i
\(196\) 8.28870e36 + 4.19874e36i 1.74739 + 0.885160i
\(197\) −3.57225e36 −0.694195 −0.347098 0.937829i \(-0.612833\pi\)
−0.347098 + 0.937829i \(0.612833\pi\)
\(198\) −1.23778e37 2.95624e36i −2.21821 0.529782i
\(199\) 2.75249e36i 0.455069i 0.973770 + 0.227534i \(0.0730664\pi\)
−0.973770 + 0.227534i \(0.926934\pi\)
\(200\) −3.21804e35 + 3.79491e35i −0.0491033 + 0.0579057i
\(201\) −1.30228e37 −1.83471
\(202\) −8.72050e34 + 3.65129e35i −0.0113480 + 0.0475143i
\(203\) 5.28220e36i 0.635152i
\(204\) 5.53173e36 1.09202e37i 0.614863 1.21380i
\(205\) −1.14120e37 −1.17301
\(206\) 6.22447e36 + 1.48661e36i 0.591871 + 0.141358i
\(207\) 8.52893e35i 0.0750532i
\(208\) 4.17236e36 + 5.68623e36i 0.339913 + 0.463245i
\(209\) 3.92930e36 0.296466
\(210\) −8.92407e36 + 3.73653e37i −0.623813 + 2.61192i
\(211\) 2.17197e36i 0.140713i −0.997522 0.0703567i \(-0.977586\pi\)
0.997522 0.0703567i \(-0.0224137\pi\)
\(212\) −4.71403e36 2.38795e36i −0.283151 0.143434i
\(213\) 5.17248e37 2.88154
\(214\) −1.80660e37 4.31477e36i −0.933775 0.223017i
\(215\) 8.32870e35i 0.0399541i
\(216\) 1.77282e37 + 1.50333e37i 0.789595 + 0.669567i
\(217\) −2.42288e37 −1.00225
\(218\) 3.92422e36 1.64308e37i 0.150817 0.631472i
\(219\) 7.07971e37i 2.52877i
\(220\) 1.82190e37 3.59660e37i 0.605009 1.19434i
\(221\) −1.55875e37 −0.481392
\(222\) −2.21080e36 5.28012e35i −0.0635186 0.0151704i
\(223\) 2.64062e36i 0.0706038i 0.999377 + 0.0353019i \(0.0112393\pi\)
−0.999377 + 0.0353019i \(0.988761\pi\)
\(224\) 2.68219e37 + 6.36902e37i 0.667607 + 1.58527i
\(225\) 5.36368e36 0.124321
\(226\) −3.06220e36 + 1.28215e37i −0.0661148 + 0.276824i
\(227\) 4.82575e37i 0.970847i −0.874279 0.485423i \(-0.838665\pi\)
0.874279 0.485423i \(-0.161335\pi\)
\(228\) −1.64457e37 8.33074e36i −0.308385 0.156216i
\(229\) −6.43637e37 −1.12531 −0.562656 0.826691i \(-0.690221\pi\)
−0.562656 + 0.826691i \(0.690221\pi\)
\(230\) 2.62815e36 + 6.27689e35i 0.0428552 + 0.0102353i
\(231\) 2.55751e38i 3.89068i
\(232\) 1.68217e37 1.98372e37i 0.238815 0.281626i
\(233\) 9.66736e37 1.28119 0.640594 0.767880i \(-0.278688\pi\)
0.640594 + 0.767880i \(0.278688\pi\)
\(234\) 1.76613e37 7.39483e37i 0.218559 0.915112i
\(235\) 3.96951e37i 0.458830i
\(236\) 6.66148e36 1.31504e37i 0.0719414 0.142019i
\(237\) −1.84355e38 −1.86073
\(238\) −1.48558e38 3.54805e37i −1.40173 0.334779i
\(239\) 9.30138e37i 0.820694i −0.911930 0.410347i \(-0.865408\pi\)
0.911930 0.410347i \(-0.134592\pi\)
\(240\) −1.52508e38 + 1.11905e38i −1.25867 + 0.923568i
\(241\) 1.83413e38 1.41631 0.708155 0.706057i \(-0.249528\pi\)
0.708155 + 0.706057i \(0.249528\pi\)
\(242\) 3.02076e37 1.26480e38i 0.218308 0.914060i
\(243\) 1.42499e38i 0.964077i
\(244\) −1.88523e38 9.54985e37i −1.19434 0.605005i
\(245\) 3.17322e38 1.88297
\(246\) 3.46701e38 + 8.28039e37i 1.92750 + 0.460351i
\(247\) 2.34746e37i 0.122306i
\(248\) −9.09909e37 7.71592e37i −0.444397 0.376843i
\(249\) −3.89327e38 −1.78289
\(250\) −5.59402e37 + 2.34223e38i −0.240262 + 1.00598i
\(251\) 1.81978e38i 0.733229i 0.930373 + 0.366614i \(0.119483\pi\)
−0.930373 + 0.366614i \(0.880517\pi\)
\(252\) 3.36645e38 6.64569e38i 1.27281 2.51265i
\(253\) 1.79887e37 0.0638367
\(254\) 4.83566e38 + 1.15492e38i 1.61108 + 0.384779i
\(255\) 4.18064e38i 1.30798i
\(256\) −1.02099e38 + 3.24604e38i −0.300042 + 0.953926i
\(257\) 1.81708e38 0.501700 0.250850 0.968026i \(-0.419290\pi\)
0.250850 + 0.968026i \(0.419290\pi\)
\(258\) 6.04318e36 2.53029e37i 0.0156802 0.0656531i
\(259\) 2.83601e37i 0.0691689i
\(260\) 2.14870e38 + 1.08845e38i 0.492722 + 0.249594i
\(261\) −2.80377e38 −0.604636
\(262\) −4.51446e38 1.07820e38i −0.915767 0.218716i
\(263\) 1.03099e38i 0.196772i −0.995148 0.0983859i \(-0.968632\pi\)
0.995148 0.0983859i \(-0.0313680\pi\)
\(264\) −8.14465e38 + 9.60468e38i −1.46288 + 1.72512i
\(265\) −1.80471e38 −0.305121
\(266\) −5.34333e37 + 2.23726e38i −0.0850561 + 0.356132i
\(267\) 9.53439e38i 1.42926i
\(268\) −3.61546e38 + 7.13726e38i −0.510513 + 1.00780i
\(269\) 7.79655e38 1.03721 0.518604 0.855014i \(-0.326452\pi\)
0.518604 + 0.855014i \(0.326452\pi\)
\(270\) 7.72114e38 + 1.84407e38i 0.967969 + 0.231183i
\(271\) 1.53349e38i 0.181206i −0.995887 0.0906032i \(-0.971121\pi\)
0.995887 0.0906032i \(-0.0288795\pi\)
\(272\) −4.44913e38 6.06343e38i −0.495648 0.675485i
\(273\) −1.52792e39 −1.60509
\(274\) 2.38965e38 1.00055e39i 0.236770 0.991359i
\(275\) 1.13127e38i 0.105741i
\(276\) −7.52897e37 3.81389e37i −0.0664034 0.0336374i
\(277\) −4.47583e38 −0.372561 −0.186280 0.982497i \(-0.559643\pi\)
−0.186280 + 0.982497i \(0.559643\pi\)
\(278\) −1.06045e39 2.53270e38i −0.833245 0.199007i
\(279\) 1.28606e39i 0.954097i
\(280\) 1.80008e39 + 1.52645e39i 1.26114 + 1.06943i
\(281\) 2.40210e39 1.58961 0.794804 0.606867i \(-0.207574\pi\)
0.794804 + 0.606867i \(0.207574\pi\)
\(282\) −2.88022e38 + 1.20595e39i −0.180069 + 0.753954i
\(283\) 1.34695e39i 0.795736i 0.917443 + 0.397868i \(0.130250\pi\)
−0.917443 + 0.397868i \(0.869750\pi\)
\(284\) 1.43601e39 2.83482e39i 0.801798 1.58282i
\(285\) −6.29600e38 −0.332313
\(286\) 1.55967e39 + 3.72501e38i 0.778352 + 0.185896i
\(287\) 4.44748e39i 2.09896i
\(288\) 3.38065e39 1.42369e39i 1.50911 0.635531i
\(289\) −7.05765e38 −0.298054
\(290\) 2.06344e38 8.63966e38i 0.0824563 0.345246i
\(291\) 6.55722e39i 2.47989i
\(292\) −3.88010e39 1.96551e39i −1.38905 0.703638i
\(293\) 1.19107e39 0.403696 0.201848 0.979417i \(-0.435305\pi\)
0.201848 + 0.979417i \(0.435305\pi\)
\(294\) −9.64037e39 2.30244e39i −3.09411 0.738978i
\(295\) 5.03445e38i 0.153038i
\(296\) −9.03155e37 + 1.06506e38i −0.0260073 + 0.0306694i
\(297\) 5.28483e39 1.44188
\(298\) −4.79683e37 + 2.00844e38i −0.0124021 + 0.0519276i
\(299\) 1.07469e38i 0.0263356i
\(300\) 2.39848e38 4.73483e38i 0.0557181 0.109993i
\(301\) −3.24585e38 −0.0714932
\(302\) 4.13802e39 + 9.88298e38i 0.864335 + 0.206432i
\(303\) 4.00448e38i 0.0793349i
\(304\) −9.13146e38 + 6.70035e38i −0.171618 + 0.125927i
\(305\) −7.21735e39 −1.28701
\(306\) −1.88329e39 + 7.88537e39i −0.318694 + 1.33438i
\(307\) 9.61787e39i 1.54477i 0.635152 + 0.772387i \(0.280937\pi\)
−0.635152 + 0.772387i \(0.719063\pi\)
\(308\) 1.40167e40 + 7.10030e39i 2.13714 + 1.08259i
\(309\) −6.82656e39 −0.988249
\(310\) −3.96292e39 9.46477e38i −0.544788 0.130114i
\(311\) 1.94296e39i 0.253687i −0.991923 0.126844i \(-0.959515\pi\)
0.991923 0.126844i \(-0.0404846\pi\)
\(312\) −5.73807e39 4.86581e39i −0.711692 0.603507i
\(313\) −5.24329e39 −0.617866 −0.308933 0.951084i \(-0.599972\pi\)
−0.308933 + 0.951084i \(0.599972\pi\)
\(314\) 3.95680e39 1.65672e40i 0.443067 1.85513i
\(315\) 2.54421e40i 2.70760i
\(316\) −5.11818e39 + 1.01038e40i −0.517752 + 1.02209i
\(317\) 3.19617e39 0.307384 0.153692 0.988119i \(-0.450884\pi\)
0.153692 + 0.988119i \(0.450884\pi\)
\(318\) 5.48277e39 + 1.30947e39i 0.501379 + 0.119746i
\(319\) 5.91353e39i 0.514275i
\(320\) 1.89904e39 + 1.14651e40i 0.157085 + 0.948368i
\(321\) 1.98136e40 1.55913
\(322\) −2.44622e38 + 1.02424e39i −0.0183148 + 0.0766844i
\(323\) 2.50318e39i 0.178341i
\(324\) −5.76712e38 2.92140e38i −0.0391056 0.0198094i
\(325\) −6.75851e38 −0.0436231
\(326\) −8.82619e38 2.10799e38i −0.0542365 0.0129535i
\(327\) 1.80201e40i 1.05437i
\(328\) 1.41634e40 1.67024e40i 0.789201 0.930674i
\(329\) 1.54700e40 0.821022
\(330\) −9.99068e39 + 4.18312e40i −0.505094 + 2.11484i
\(331\) 3.13828e40i 1.51163i −0.654788 0.755813i \(-0.727242\pi\)
0.654788 0.755813i \(-0.272758\pi\)
\(332\) −1.08087e40 + 2.13374e40i −0.496094 + 0.979336i
\(333\) 1.50534e39 0.0658456
\(334\) 3.99617e40 + 9.54419e39i 1.66610 + 0.397920i
\(335\) 2.73240e40i 1.08600i
\(336\) −4.36115e40 5.94351e40i −1.65262 2.25224i
\(337\) −4.25178e40 −1.53636 −0.768178 0.640236i \(-0.778836\pi\)
−0.768178 + 0.640236i \(0.778836\pi\)
\(338\) 4.51546e39 1.89063e40i 0.155609 0.651538i
\(339\) 1.40617e40i 0.462214i
\(340\) −2.29123e40 1.16065e40i −0.718467 0.363948i
\(341\) −2.71247e40 −0.811511
\(342\) 1.18753e40 + 2.83622e39i 0.339021 + 0.0809695i
\(343\) 6.05325e40i 1.64923i
\(344\) −1.21897e39 1.03367e39i −0.0317000 0.0268812i
\(345\) −2.88237e39 −0.0715556
\(346\) 1.66030e40 6.95172e40i 0.393523 1.64769i
\(347\) 6.07154e40i 1.37413i 0.726597 + 0.687064i \(0.241101\pi\)
−0.726597 + 0.687064i \(0.758899\pi\)
\(348\) −1.25376e40 + 2.47504e40i −0.270986 + 0.534952i
\(349\) −1.47031e40 −0.303530 −0.151765 0.988417i \(-0.548496\pi\)
−0.151765 + 0.988417i \(0.548496\pi\)
\(350\) −6.44124e39 1.53838e39i −0.127023 0.0303372i
\(351\) 3.15729e40i 0.594840i
\(352\) 3.00276e40 + 7.13025e40i 0.540553 + 1.28358i
\(353\) 4.72487e40 0.812821 0.406410 0.913691i \(-0.366780\pi\)
0.406410 + 0.913691i \(0.366780\pi\)
\(354\) −3.65293e39 + 1.52949e40i −0.0600605 + 0.251474i
\(355\) 1.08527e41i 1.70563i
\(356\) −5.22540e40 2.64699e40i −0.785090 0.397697i
\(357\) 1.62928e41 2.34047
\(358\) −1.03198e41 2.46471e40i −1.41756 0.338562i
\(359\) 7.34931e40i 0.965463i −0.875769 0.482731i \(-0.839645\pi\)
0.875769 0.482731i \(-0.160355\pi\)
\(360\) 8.10231e40 9.55474e40i 1.01805 1.20055i
\(361\) 7.94287e40 0.954690
\(362\) 1.26684e40 5.30427e40i 0.145674 0.609941i
\(363\) 1.38714e41i 1.52621i
\(364\) −4.24189e40 + 8.37389e40i −0.446619 + 0.881668i
\(365\) −1.48544e41 −1.49682
\(366\) 2.19266e41 + 5.23680e40i 2.11482 + 0.505090i
\(367\) 2.06487e40i 0.190649i −0.995446 0.0953245i \(-0.969611\pi\)
0.995446 0.0953245i \(-0.0303889\pi\)
\(368\) −4.18046e39 + 3.06748e39i −0.0369538 + 0.0271154i
\(369\) −2.36070e41 −1.99811
\(370\) −1.10786e39 + 4.63863e39i −0.00897959 + 0.0375977i
\(371\) 7.03328e40i 0.545979i
\(372\) 1.13527e41 + 5.75087e40i 0.844139 + 0.427608i
\(373\) 1.13423e41 0.807907 0.403954 0.914780i \(-0.367636\pi\)
0.403954 + 0.914780i \(0.367636\pi\)
\(374\) −1.66313e41 3.97211e40i −1.13496 0.271067i
\(375\) 2.56879e41i 1.67969i
\(376\) 5.80971e40 + 4.92656e40i 0.364040 + 0.308701i
\(377\) 3.53288e40 0.212162
\(378\) −7.18668e40 + 3.00908e41i −0.413675 + 1.73207i
\(379\) 3.63335e40i 0.200484i 0.994963 + 0.100242i \(0.0319617\pi\)
−0.994963 + 0.100242i \(0.968038\pi\)
\(380\) −1.74793e40 + 3.45058e40i −0.0924670 + 0.182538i
\(381\) −5.30341e41 −2.69002
\(382\) −1.35206e41 3.22917e40i −0.657631 0.157064i
\(383\) 1.98232e40i 0.0924686i 0.998931 + 0.0462343i \(0.0147221\pi\)
−0.998931 + 0.0462343i \(0.985278\pi\)
\(384\) 2.54953e40 3.62092e41i 0.114067 1.62002i
\(385\) 5.36609e41 2.30296
\(386\) −8.10839e40 + 3.39500e41i −0.333840 + 1.39779i
\(387\) 1.72288e40i 0.0680583i
\(388\) 3.59374e41 + 1.82045e41i 1.36219 + 0.690035i
\(389\) −1.68951e41 −0.614563 −0.307282 0.951619i \(-0.599419\pi\)
−0.307282 + 0.951619i \(0.599419\pi\)
\(390\) −2.49910e41 5.96867e40i −0.872467 0.208374i
\(391\) 1.14598e40i 0.0384015i
\(392\) −3.93828e41 + 4.64427e41i −1.26686 + 1.49396i
\(393\) 4.95114e41 1.52906
\(394\) 5.43839e40 2.27706e41i 0.161262 0.675205i
\(395\) 3.86809e41i 1.10139i
\(396\) 3.76881e41 7.43998e41i 1.03058 2.03446i
\(397\) 2.48937e40 0.0653794 0.0326897 0.999466i \(-0.489593\pi\)
0.0326897 + 0.999466i \(0.489593\pi\)
\(398\) −1.75453e41 4.19040e40i −0.442620 0.105712i
\(399\) 2.45367e41i 0.594635i
\(400\) −1.92908e40 2.62902e40i −0.0449149 0.0612116i
\(401\) −1.93121e41 −0.432035 −0.216017 0.976389i \(-0.569307\pi\)
−0.216017 + 0.976389i \(0.569307\pi\)
\(402\) 1.98259e41 8.30115e41i 0.426203 1.78452i
\(403\) 1.62049e41i 0.334786i
\(404\) −2.19469e40 1.11175e40i −0.0435784 0.0220751i
\(405\) −2.20787e40 −0.0421398
\(406\) 3.36704e41 + 8.04162e40i 0.617777 + 0.147546i
\(407\) 3.17496e40i 0.0560052i
\(408\) 6.11871e41 + 5.18859e41i 1.03776 + 0.880008i
\(409\) −6.28224e41 −1.02457 −0.512285 0.858816i \(-0.671201\pi\)
−0.512285 + 0.858816i \(0.671201\pi\)
\(410\) 1.73737e41 7.27438e41i 0.272489 1.14092i
\(411\) 1.09734e42i 1.65528i
\(412\) −1.89523e41 + 3.74135e41i −0.274983 + 0.542842i
\(413\) 1.96202e41 0.273844
\(414\) 5.43661e40 + 1.29844e40i 0.0730000 + 0.0174348i
\(415\) 8.16874e41i 1.05532i
\(416\) −4.25978e41 + 1.79392e41i −0.529534 + 0.223003i
\(417\) 1.16303e42 1.39127
\(418\) −5.98196e40 + 2.50466e41i −0.0688689 + 0.288355i
\(419\) 5.12219e41i 0.567586i 0.958886 + 0.283793i \(0.0915928\pi\)
−0.958886 + 0.283793i \(0.908407\pi\)
\(420\) −2.24592e42 1.13770e42i −2.39555 1.21350i
\(421\) 1.70891e41 0.175471 0.0877355 0.996144i \(-0.472037\pi\)
0.0877355 + 0.996144i \(0.472037\pi\)
\(422\) 1.38449e41 + 3.30661e40i 0.136864 + 0.0326877i
\(423\) 8.21139e41i 0.781575i
\(424\) 2.23982e41 2.64133e41i 0.205286 0.242086i
\(425\) 7.20683e40 0.0636095
\(426\) −7.87459e41 + 3.29711e42i −0.669383 + 2.80272i
\(427\) 2.81274e42i 2.30294i
\(428\) 5.50075e41 1.08590e42i 0.433832 0.856424i
\(429\) −1.71054e42 −1.29962
\(430\) −5.30898e40 1.26796e40i −0.0388612 0.00928134i
\(431\) 2.81567e41i 0.198584i −0.995058 0.0992922i \(-0.968342\pi\)
0.995058 0.0992922i \(-0.0316579\pi\)
\(432\) −1.22816e42 + 9.01185e41i −0.834674 + 0.612455i
\(433\) −2.65364e42 −1.73795 −0.868973 0.494859i \(-0.835220\pi\)
−0.868973 + 0.494859i \(0.835220\pi\)
\(434\) 3.68860e41 1.54442e42i 0.232823 0.974834i
\(435\) 9.47538e41i 0.576459i
\(436\) 9.87608e41 + 5.00284e41i 0.579163 + 0.293382i
\(437\) −1.72583e40 −0.00975652
\(438\) 4.51284e42 + 1.07782e42i 2.45960 + 0.587434i
\(439\) 1.28733e42i 0.676482i −0.941059 0.338241i \(-0.890168\pi\)
0.941059 0.338241i \(-0.109832\pi\)
\(440\) 2.01522e42 + 1.70889e42i 1.02113 + 0.865905i
\(441\) 6.56416e42 3.20746
\(442\) 2.37304e41 9.93595e41i 0.111827 0.468223i
\(443\) 1.10165e42i 0.500708i 0.968154 + 0.250354i \(0.0805471\pi\)
−0.968154 + 0.250354i \(0.919453\pi\)
\(444\) 6.73144e40 1.32885e41i 0.0295107 0.0582570i
\(445\) −2.00048e42 −0.846005
\(446\) −1.68322e41 4.02008e40i −0.0686724 0.0164013i
\(447\) 2.20272e41i 0.0867038i
\(448\) −4.46816e42 + 7.40092e41i −1.69699 + 0.281085i
\(449\) −1.09716e42 −0.402093 −0.201047 0.979582i \(-0.564434\pi\)
−0.201047 + 0.979582i \(0.564434\pi\)
\(450\) −8.16568e40 + 3.41898e41i −0.0288797 + 0.120920i
\(451\) 4.97904e42i 1.69950i
\(452\) −7.70664e41 3.90389e41i −0.253893 0.128612i
\(453\) −4.53830e42 −1.44318
\(454\) 3.07609e42 + 7.34672e41i 0.944289 + 0.225528i
\(455\) 3.20583e42i 0.950077i
\(456\) 7.81397e41 9.21472e41i 0.223581 0.263660i
\(457\) 6.91623e42 1.91078 0.955389 0.295351i \(-0.0954364\pi\)
0.955389 + 0.295351i \(0.0954364\pi\)
\(458\) 9.79873e41 4.10275e42i 0.261410 1.09453i
\(459\) 3.36673e42i 0.867371i
\(460\) −8.00218e40 + 1.57970e41i −0.0199105 + 0.0393053i
\(461\) 2.42051e40 0.00581690 0.00290845 0.999996i \(-0.499074\pi\)
0.00290845 + 0.999996i \(0.499074\pi\)
\(462\) −1.63024e43 3.89356e42i −3.78425 0.903806i
\(463\) 7.32467e42i 1.64245i 0.570604 + 0.821225i \(0.306709\pi\)
−0.570604 + 0.821225i \(0.693291\pi\)
\(464\) 1.00839e42 + 1.37427e42i 0.218445 + 0.297704i
\(465\) 4.34625e42 0.909636
\(466\) −1.47176e42 + 6.16228e42i −0.297620 + 1.24614i
\(467\) 5.77631e41i 0.112870i −0.998406 0.0564352i \(-0.982027\pi\)
0.998406 0.0564352i \(-0.0179734\pi\)
\(468\) 4.44482e42 + 2.25158e42i 0.839307 + 0.425161i
\(469\) −1.06487e43 −1.94326
\(470\) 2.53030e42 + 6.04319e41i 0.446278 + 0.106586i
\(471\) 1.81697e43i 3.09752i
\(472\) 7.36834e41 + 6.24826e41i 0.121422 + 0.102964i
\(473\) −3.63380e41 −0.0578872
\(474\) 2.80663e42 1.17514e43i 0.432247 1.80982i
\(475\) 1.08534e41i 0.0161610i
\(476\) 4.52328e42 8.92938e42i 0.651242 1.28561i
\(477\) −3.73324e42 −0.519746
\(478\) 5.92900e42 + 1.41604e42i 0.798243 + 0.190647i
\(479\) 9.75812e42i 1.27057i −0.772278 0.635284i \(-0.780883\pi\)
0.772278 0.635284i \(-0.219117\pi\)
\(480\) −4.81140e42 1.14250e43i −0.605915 1.43878i
\(481\) −1.89680e41 −0.0231047
\(482\) −2.79229e42 + 1.16914e43i −0.329009 + 1.37757i
\(483\) 1.12331e42i 0.128040i
\(484\) 7.60234e42 + 3.85105e42i 0.838342 + 0.424672i
\(485\) 1.37582e43 1.46789
\(486\) −9.08335e42 2.16941e42i −0.937704 0.223955i
\(487\) 8.73926e42i 0.872994i −0.899706 0.436497i \(-0.856219\pi\)
0.899706 0.436497i \(-0.143781\pi\)
\(488\) 8.95745e42 1.05632e43i 0.865899 1.02112i
\(489\) 9.67995e41 0.0905589
\(490\) −4.83091e42 + 2.02271e43i −0.437413 + 1.83146i
\(491\) 6.41960e42i 0.562606i 0.959619 + 0.281303i \(0.0907665\pi\)
−0.959619 + 0.281303i \(0.909233\pi\)
\(492\) −1.05564e43 + 2.08393e43i −0.895515 + 1.76783i
\(493\) −3.76724e42 −0.309366
\(494\) −1.49634e42 3.57377e41i −0.118960 0.0284116i
\(495\) 2.84830e43i 2.19231i
\(496\) 6.30362e42 4.62538e42i 0.469768 0.344699i
\(497\) 4.22952e43 3.05203
\(498\) 5.92711e42 2.48169e43i 0.414165 1.73412i
\(499\) 1.60910e43i 1.08886i 0.838805 + 0.544432i \(0.183255\pi\)
−0.838805 + 0.544432i \(0.816745\pi\)
\(500\) −1.40785e43 7.13162e42i −0.922647 0.467378i
\(501\) −4.38272e43 −2.78189
\(502\) −1.15999e43 2.77043e42i −0.713171 0.170329i
\(503\) 9.65906e42i 0.575238i −0.957745 0.287619i \(-0.907136\pi\)
0.957745 0.287619i \(-0.0928636\pi\)
\(504\) 3.72367e43 + 3.15762e43i 2.14824 + 1.82168i
\(505\) −8.40208e41 −0.0469597
\(506\) −2.73860e41 + 1.14666e42i −0.0148293 + 0.0620904i
\(507\) 2.07351e43i 1.08788i
\(508\) −1.47236e43 + 2.90658e43i −0.748506 + 1.47762i
\(509\) −3.22003e43 −1.58626 −0.793132 0.609050i \(-0.791551\pi\)
−0.793132 + 0.609050i \(0.791551\pi\)
\(510\) 2.66487e43 + 6.36461e42i 1.27220 + 0.303843i
\(511\) 5.78906e43i 2.67839i
\(512\) −1.91370e43 1.14499e43i −0.858131 0.513431i
\(513\) −5.07026e42 −0.220370
\(514\) −2.76633e42 + 1.15827e43i −0.116545 + 0.487976i
\(515\) 1.43233e43i 0.584961i
\(516\) 1.52089e42 + 7.70424e41i 0.0602146 + 0.0305024i
\(517\) 1.73189e43 0.664771
\(518\) −1.80776e42 4.31754e41i −0.0672767 0.0160679i
\(519\) 7.62416e43i 2.75115i
\(520\) −1.02093e43 + 1.20394e43i −0.357226 + 0.421263i
\(521\) −2.63327e43 −0.893494 −0.446747 0.894660i \(-0.647418\pi\)
−0.446747 + 0.894660i \(0.647418\pi\)
\(522\) 4.26846e42 1.78721e43i 0.140457 0.588096i
\(523\) 5.37407e43i 1.71505i −0.514444 0.857524i \(-0.672002\pi\)
0.514444 0.857524i \(-0.327998\pi\)
\(524\) 1.37456e43 2.71351e43i 0.425465 0.839908i
\(525\) 7.06431e42 0.212090
\(526\) 6.57187e42 + 1.56958e42i 0.191389 + 0.0457101i
\(527\) 1.72799e43i 0.488170i
\(528\) −4.88239e43 6.65388e43i −1.33810 1.82361i
\(529\) 3.75299e43 0.997899
\(530\) 2.74749e42 1.15038e43i 0.0708796 0.296774i
\(531\) 1.04143e43i 0.260687i
\(532\) −1.34476e43 6.81202e42i −0.326631 0.165459i
\(533\) 2.97460e43 0.701122
\(534\) 6.07752e43 + 1.45152e43i 1.39017 + 0.332018i
\(535\) 4.15722e43i 0.922874i
\(536\) −3.99910e43 3.39119e43i −0.861639 0.730660i
\(537\) 1.13180e44 2.36691
\(538\) −1.18695e43 + 4.96977e43i −0.240943 + 1.00883i
\(539\) 1.38447e44i 2.72812i
\(540\) −2.35093e43 + 4.64096e43i −0.449718 + 0.887785i
\(541\) −4.14984e43 −0.770682 −0.385341 0.922774i \(-0.625916\pi\)
−0.385341 + 0.922774i \(0.625916\pi\)
\(542\) 9.77498e42 + 2.33459e42i 0.176249 + 0.0420942i
\(543\) 5.81735e43i 1.01842i
\(544\) 4.54236e43 1.91292e43i 0.772145 0.325174i
\(545\) 3.78093e43 0.624100
\(546\) 2.32611e43 9.73945e43i 0.372861 1.56118i
\(547\) 8.89957e43i 1.38539i −0.721231 0.692694i \(-0.756424\pi\)
0.721231 0.692694i \(-0.243576\pi\)
\(548\) 6.01404e43 + 3.04648e43i 0.909238 + 0.460585i
\(549\) −1.49299e44 −2.19230
\(550\) −7.21110e42 1.72225e42i −0.102849 0.0245637i
\(551\) 5.67343e42i 0.0785995i
\(552\) 3.57730e42 4.21858e42i 0.0481427 0.0567729i
\(553\) −1.50747e44 −1.97082
\(554\) 6.81401e42 2.85304e43i 0.0865459 0.362369i
\(555\) 5.08732e42i 0.0627771i
\(556\) 3.22885e43 6.37406e43i 0.387125 0.764222i
\(557\) −4.03548e43 −0.470123 −0.235062 0.971980i \(-0.575529\pi\)
−0.235062 + 0.971980i \(0.575529\pi\)
\(558\) −8.19774e43 1.95789e43i −0.927997 0.221637i
\(559\) 2.17092e42i 0.0238811i
\(560\) −1.24705e44 + 9.15042e43i −1.33314 + 0.978211i
\(561\) 1.82401e44 1.89505
\(562\) −3.65696e43 + 1.53118e44i −0.369266 + 1.54612i
\(563\) 5.34292e43i 0.524378i −0.965017 0.262189i \(-0.915556\pi\)
0.965017 0.262189i \(-0.0844444\pi\)
\(564\) −7.24865e43 3.67189e43i −0.691499 0.350287i
\(565\) −2.95039e43 −0.273592
\(566\) −8.58590e43 2.05060e43i −0.773968 0.184849i
\(567\) 8.60448e42i 0.0754042i
\(568\) 1.58839e44 + 1.34693e44i 1.35327 + 1.14755i
\(569\) 9.27836e42 0.0768555 0.0384277 0.999261i \(-0.487765\pi\)
0.0384277 + 0.999261i \(0.487765\pi\)
\(570\) 9.58504e42 4.01328e43i 0.0771963 0.323222i
\(571\) 2.36677e43i 0.185344i −0.995697 0.0926719i \(-0.970459\pi\)
0.995697 0.0926719i \(-0.0295408\pi\)
\(572\) −4.74888e43 + 9.37474e43i −0.361622 + 0.713876i
\(573\) 1.48285e44 1.09805
\(574\) 2.83497e44 + 6.77084e43i 2.04154 + 0.487588i
\(575\) 4.96879e41i 0.00347989i
\(576\) 3.92838e43 + 2.37168e44i 0.267580 + 1.61546i
\(577\) 1.03883e44 0.688225 0.344113 0.938928i \(-0.388180\pi\)
0.344113 + 0.938928i \(0.388180\pi\)
\(578\) 1.07446e43 4.49877e43i 0.0692379 0.289900i
\(579\) 3.72340e44i 2.33390i
\(580\) 5.19306e43 + 2.63061e43i 0.316647 + 0.160401i
\(581\) −3.18351e44 −1.88838
\(582\) −4.17978e44 9.98272e43i −2.41205 0.576078i
\(583\) 7.87390e43i 0.442072i
\(584\) 1.84358e44 2.17407e44i 1.00706 1.18759i
\(585\) 1.70164e44 0.904429
\(586\) −1.81328e43 + 7.59224e43i −0.0937785 + 0.392652i
\(587\) 2.34372e44i 1.17949i 0.807588 + 0.589747i \(0.200772\pi\)
−0.807588 + 0.589747i \(0.799228\pi\)
\(588\) 2.93530e44 5.79456e44i 1.43753 2.83781i
\(589\) 2.60234e43 0.124028
\(590\) 3.20912e43 + 7.66446e42i 0.148852 + 0.0355508i
\(591\) 2.49733e44i 1.12739i
\(592\) −5.41404e42 7.37844e42i −0.0237889 0.0324203i
\(593\) −3.76769e44 −1.61139 −0.805695 0.592331i \(-0.798208\pi\)
−0.805695 + 0.592331i \(0.798208\pi\)
\(594\) −8.04563e43 + 3.36872e44i −0.334948 + 1.40243i
\(595\) 3.41850e44i 1.38536i
\(596\) −1.20722e43 6.11530e42i −0.0476261 0.0241256i
\(597\) 1.92424e44 0.739045
\(598\) −6.85040e42 1.63610e42i −0.0256151 0.00611775i
\(599\) 3.22426e44i 1.17382i 0.809652 + 0.586910i \(0.199656\pi\)
−0.809652 + 0.586910i \(0.800344\pi\)
\(600\) 2.65299e43 + 2.24970e43i 0.0940405 + 0.0797452i
\(601\) −2.80517e43 −0.0968206 −0.0484103 0.998828i \(-0.515416\pi\)
−0.0484103 + 0.998828i \(0.515416\pi\)
\(602\) 4.94149e42 2.06901e43i 0.0166079 0.0695375i
\(603\) 5.65229e44i 1.84990i
\(604\) −1.25995e44 + 2.48725e44i −0.401570 + 0.792736i
\(605\) 2.91046e44 0.903389
\(606\) 2.55259e43 + 6.09643e42i 0.0771646 + 0.0184295i
\(607\) 3.35287e44i 0.987184i −0.869694 0.493592i \(-0.835684\pi\)
0.869694 0.493592i \(-0.164316\pi\)
\(608\) −2.88085e43 6.84075e43i −0.0826157 0.196176i
\(609\) −3.69274e44 −1.03151
\(610\) 1.09877e44 4.60057e44i 0.298971 1.25180i
\(611\) 1.03467e44i 0.274249i
\(612\) −4.73967e44 2.40094e44i −1.22384 0.619952i
\(613\) 5.01061e44 1.26044 0.630221 0.776416i \(-0.282964\pi\)
0.630221 + 0.776416i \(0.282964\pi\)
\(614\) −6.13074e44 1.46423e44i −1.50252 0.358851i
\(615\) 7.97804e44i 1.90500i
\(616\) −6.65986e44 + 7.85372e44i −1.54944 + 1.82719i
\(617\) 9.93241e43 0.225161 0.112580 0.993643i \(-0.464088\pi\)
0.112580 + 0.993643i \(0.464088\pi\)
\(618\) 1.03928e44 4.35147e44i 0.229570 0.961215i
\(619\) 1.77023e44i 0.381048i −0.981683 0.190524i \(-0.938981\pi\)
0.981683 0.190524i \(-0.0610187\pi\)
\(620\) 1.20663e44 2.38200e44i 0.253109 0.499660i
\(621\) −2.32121e43 −0.0474514
\(622\) 1.23851e44 + 2.95797e43i 0.246747 + 0.0589315i
\(623\) 7.79624e44i 1.51383i
\(624\) 3.97519e44 2.91686e44i 0.752323 0.552029i
\(625\) −4.97819e44 −0.918313
\(626\) 7.98239e43 3.34224e44i 0.143530 0.600964i
\(627\) 2.74694e44i 0.481469i
\(628\) 9.95808e44 + 5.04438e44i 1.70146 + 0.861893i
\(629\) 2.02263e43 0.0336903
\(630\) 1.62176e45 + 3.87331e44i 2.63353 + 0.628976i
\(631\) 4.90233e44i 0.776128i 0.921633 + 0.388064i \(0.126856\pi\)
−0.921633 + 0.388064i \(0.873144\pi\)
\(632\) −5.66127e44 4.80069e44i −0.873857 0.741020i
\(633\) −1.51841e44 −0.228523
\(634\) −4.86585e43 + 2.03734e44i −0.0714054 + 0.298976i
\(635\) 1.11275e45i 1.59227i
\(636\) −1.66939e44 + 3.29554e44i −0.232940 + 0.459846i
\(637\) −8.27117e44 −1.12548
\(638\) 3.76947e44 + 9.00276e43i 0.500207 + 0.119466i
\(639\) 2.24501e45i 2.90539i
\(640\) −7.59731e44 5.34934e43i −0.958916 0.0675181i
\(641\) 1.44698e45 1.78128 0.890641 0.454706i \(-0.150256\pi\)
0.890641 + 0.454706i \(0.150256\pi\)
\(642\) −3.01642e44 + 1.26298e45i −0.362186 + 1.51648i
\(643\) 1.18107e45i 1.38325i −0.722258 0.691623i \(-0.756896\pi\)
0.722258 0.691623i \(-0.243104\pi\)
\(644\) −6.15641e43 3.11860e43i −0.0703321 0.0356276i
\(645\) 5.82252e43 0.0648867
\(646\) 1.59561e44 + 3.81084e43i 0.173462 + 0.0414286i
\(647\) 4.17210e44i 0.442472i −0.975220 0.221236i \(-0.928991\pi\)
0.975220 0.221236i \(-0.0710091\pi\)
\(648\) 2.74018e43 3.23139e43i 0.0283517 0.0334341i
\(649\) 2.19652e44 0.221728
\(650\) 1.02892e43 4.30809e43i 0.0101336 0.0424298i
\(651\) 1.69382e45i 1.62769i
\(652\) 2.68740e43 5.30517e43i 0.0251983 0.0497437i
\(653\) 1.61773e45 1.48011 0.740057 0.672544i \(-0.234799\pi\)
0.740057 + 0.672544i \(0.234799\pi\)
\(654\) −1.14866e45 2.74339e44i −1.02553 0.244930i
\(655\) 1.03883e45i 0.905076i
\(656\) 8.49041e44 + 1.15710e45i 0.721884 + 0.983807i
\(657\) −3.07281e45 −2.54970
\(658\) −2.35515e44 + 9.86105e44i −0.190723 + 0.798562i
\(659\) 9.04904e44i 0.715214i 0.933872 + 0.357607i \(0.116407\pi\)
−0.933872 + 0.357607i \(0.883593\pi\)
\(660\) −2.51435e45 1.27368e45i −1.93965 0.982553i
\(661\) −5.46004e44 −0.411124 −0.205562 0.978644i \(-0.565902\pi\)
−0.205562 + 0.978644i \(0.565902\pi\)
\(662\) 2.00044e45 + 4.77772e44i 1.47027 + 0.351150i
\(663\) 1.08971e45i 0.781795i
\(664\) −1.19556e45 1.01382e45i −0.837303 0.710023i
\(665\) −5.14822e44 −0.351974
\(666\) −2.29173e43 + 9.59552e43i −0.0152959 + 0.0640443i
\(667\) 2.59735e43i 0.0169245i
\(668\) −1.21675e45 + 2.40199e45i −0.774069 + 1.52808i
\(669\) 1.84603e44 0.114663
\(670\) −1.74172e45 4.15981e44i −1.05629 0.252277i
\(671\) 3.14892e45i 1.86467i
\(672\) 4.45253e45 1.87509e45i 2.57453 1.08421i
\(673\) 6.50078e44 0.367050 0.183525 0.983015i \(-0.441249\pi\)
0.183525 + 0.983015i \(0.441249\pi\)
\(674\) 6.47291e44 2.71022e45i 0.356895 1.49433i
\(675\) 1.45977e44i 0.0786000i
\(676\) 1.13641e45 + 5.75660e44i 0.597567 + 0.302705i
\(677\) 1.51141e45 0.776181 0.388091 0.921621i \(-0.373135\pi\)
0.388091 + 0.921621i \(0.373135\pi\)
\(678\) 8.96339e44 + 2.14076e44i 0.449570 + 0.107372i
\(679\) 5.36182e45i 2.62661i
\(680\) 1.08865e45 1.28381e45i 0.520892 0.614268i
\(681\) −3.37364e45 −1.57668
\(682\) 4.12946e44 1.72901e45i 0.188514 0.789311i
\(683\) 1.57870e45i 0.703992i 0.936001 + 0.351996i \(0.114497\pi\)
−0.936001 + 0.351996i \(0.885503\pi\)
\(684\) −3.61579e44 + 7.13791e44i −0.157509 + 0.310938i
\(685\) 2.30240e45 0.979786
\(686\) −3.85853e45 9.21547e44i −1.60412 0.383117i
\(687\) 4.49961e45i 1.82754i
\(688\) 8.44474e43 6.19646e43i 0.0335098 0.0245883i
\(689\) 4.70406e44 0.182375
\(690\) 4.38812e43 1.83731e44i 0.0166224 0.0695981i
\(691\) 2.81812e45i 1.04306i −0.853232 0.521532i \(-0.825361\pi\)
0.853232 0.521532i \(-0.174639\pi\)
\(692\) 4.17848e45 + 2.11666e45i 1.51120 + 0.765515i
\(693\) 1.11004e46 3.92288
\(694\) −3.87019e45 9.24332e44i −1.33654 0.319210i
\(695\) 2.44022e45i 0.823518i
\(696\) −1.38680e45 1.17599e45i −0.457368 0.387843i
\(697\) −3.17192e45 −1.02235
\(698\) 2.23840e44 9.37223e44i 0.0705101 0.295227i
\(699\) 6.75836e45i 2.08069i
\(700\) 1.96123e44 3.87165e44i 0.0590147 0.116500i
\(701\) −5.77620e45 −1.69884 −0.849422 0.527714i \(-0.823049\pi\)
−0.849422 + 0.527714i \(0.823049\pi\)
\(702\) −2.01256e45 4.80666e44i −0.578568 0.138181i
\(703\) 3.04606e43i 0.00855959i
\(704\) −5.00219e45 + 8.28548e44i −1.37403 + 0.227591i
\(705\) −2.77505e45 −0.745153
\(706\) −7.19315e44 + 3.01179e45i −0.188818 + 0.790585i
\(707\) 3.27445e44i 0.0840288i
\(708\) −9.19332e44 4.65698e44i −0.230643 0.116835i
\(709\) 3.05399e44 0.0749080 0.0374540 0.999298i \(-0.488075\pi\)
0.0374540 + 0.999298i \(0.488075\pi\)
\(710\) 6.91789e45 + 1.65222e45i 1.65898 + 0.396219i
\(711\) 8.00158e45i 1.87613i
\(712\) 2.48279e45 2.92786e45i 0.569194 0.671228i
\(713\) 1.19137e44 0.0267064
\(714\) −2.48041e45 + 1.03855e46i −0.543691 + 2.27644i
\(715\) 3.58900e45i 0.769266i
\(716\) 3.14217e45 6.20294e45i 0.658600 1.30014i
\(717\) −6.50251e45 −1.33283
\(718\) 4.68469e45 + 1.11886e45i 0.939052 + 0.224277i
\(719\) 2.10378e45i 0.412418i −0.978508 0.206209i \(-0.933887\pi\)
0.978508 0.206209i \(-0.0661127\pi\)
\(720\) 4.85700e45 + 6.61928e45i 0.931212 + 1.26909i
\(721\) −5.58206e45 −1.04672
\(722\) −1.20922e45 + 5.06304e45i −0.221774 + 0.928573i
\(723\) 1.28223e46i 2.30013i
\(724\) 3.18825e45 + 1.61504e45i 0.559416 + 0.283379i
\(725\) −1.63342e44 −0.0280343
\(726\) −8.84208e45 2.11178e45i −1.48446 0.354539i
\(727\) 5.93359e45i 0.974466i 0.873272 + 0.487233i \(0.161994\pi\)
−0.873272 + 0.487233i \(0.838006\pi\)
\(728\) −4.69200e45 3.97876e45i −0.753800 0.639213i
\(729\) 1.02409e46 1.60952
\(730\) 2.26144e45 9.46869e45i 0.347712 1.45588i
\(731\) 2.31493e44i 0.0348225i
\(732\) −6.67621e45 + 1.31795e46i −0.982546 + 1.93964i
\(733\) 1.14451e46 1.64800 0.824000 0.566590i \(-0.191738\pi\)
0.824000 + 0.566590i \(0.191738\pi\)
\(734\) 1.31621e45 + 3.14355e44i 0.185434 + 0.0442878i
\(735\) 2.21837e46i 3.05799i
\(736\) −1.31888e44 3.13176e44i −0.0177893 0.0422418i
\(737\) −1.19214e46 −1.57343
\(738\) 3.59394e45 1.50479e46i 0.464161 1.94345i
\(739\) 2.33426e45i 0.295011i 0.989061 + 0.147505i \(0.0471244\pi\)
−0.989061 + 0.147505i \(0.952876\pi\)
\(740\) −2.78815e44 1.41237e44i −0.0344833 0.0174679i
\(741\) 1.64109e45 0.198628
\(742\) 4.48324e45 + 1.07075e45i 0.531043 + 0.126831i
\(743\) 2.99487e45i 0.347182i −0.984818 0.173591i \(-0.944463\pi\)
0.984818 0.173591i \(-0.0555371\pi\)
\(744\) −5.39413e45 + 6.36109e45i −0.612004 + 0.721713i
\(745\) −4.62167e44 −0.0513214
\(746\) −1.72676e45 + 7.22997e45i −0.187677 + 0.785806i
\(747\) 1.68979e46i 1.79765i
\(748\) 5.06390e45 9.99662e45i 0.527303 1.04094i
\(749\) 1.62015e46 1.65138
\(750\) 1.63743e46 + 3.91073e45i 1.63374 + 0.390192i
\(751\) 1.07059e46i 1.04564i 0.852442 + 0.522822i \(0.175121\pi\)
−0.852442 + 0.522822i \(0.824879\pi\)
\(752\) −4.02482e45 + 2.95327e45i −0.384823 + 0.282370i
\(753\) 1.27219e46 1.19078
\(754\