Properties

Label 4.33.b.b.3.13
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 3.13
Root \(3.18854e6i\) of defining polynomial
Character \(\chi\) \(=\) 4.3
Dual form 4.33.b.b.3.14

$q$-expansion

\(f(q)\) \(=\) \(q+(60712.0 - 24678.5i) q^{2} +5.10167e7i q^{3} +(3.07691e9 - 2.99655e9i) q^{4} +2.49571e11 q^{5} +(1.25901e12 + 3.09732e12i) q^{6} +4.65014e13i q^{7} +(1.12855e14 - 2.57860e14i) q^{8} -7.49683e14 q^{9} +O(q^{10})\) \(q+(60712.0 - 24678.5i) q^{2} +5.10167e7i q^{3} +(3.07691e9 - 2.99655e9i) q^{4} +2.49571e11 q^{5} +(1.25901e12 + 3.09732e12i) q^{6} +4.65014e13i q^{7} +(1.12855e14 - 2.57860e14i) q^{8} -7.49683e14 q^{9} +(1.51520e16 - 6.15903e15i) q^{10} -4.19273e16i q^{11} +(1.52874e17 + 1.56974e17i) q^{12} -6.87705e17 q^{13} +(1.14758e18 + 2.82319e18i) q^{14} +1.27323e19i q^{15} +(4.88063e17 - 1.84403e19i) q^{16} +4.91747e19 q^{17} +(-4.55147e19 + 1.85010e19i) q^{18} +3.14168e20i q^{19} +(7.67909e20 - 7.47854e20i) q^{20} -2.37235e21 q^{21} +(-1.03470e21 - 2.54549e21i) q^{22} +4.04400e21i q^{23} +(1.31552e22 + 5.75750e21i) q^{24} +3.90027e22 q^{25} +(-4.17519e22 + 1.69715e22i) q^{26} +5.62886e22i q^{27} +(1.39344e23 + 1.43081e23i) q^{28} +1.16515e23 q^{29} +(3.14213e23 + 7.73002e23i) q^{30} -3.53780e23i q^{31} +(-4.25447e23 - 1.13159e24i) q^{32} +2.13899e24 q^{33} +(2.98549e24 - 1.21356e24i) q^{34} +1.16054e25i q^{35} +(-2.30671e24 + 2.24647e24i) q^{36} -7.58489e24 q^{37} +(7.75318e24 + 1.90737e25i) q^{38} -3.50844e25i q^{39} +(2.81654e25 - 6.43545e25i) q^{40} -2.78643e25 q^{41} +(-1.44030e26 + 5.85459e25i) q^{42} -1.82822e26i q^{43} +(-1.25637e26 - 1.29007e26i) q^{44} -1.87099e26 q^{45} +(9.97996e25 + 2.45519e26i) q^{46} +6.77015e25i q^{47} +(9.40763e26 + 2.48994e25i) q^{48} -1.05795e27 q^{49} +(2.36793e27 - 9.62526e26i) q^{50} +2.50873e27i q^{51} +(-2.11601e27 + 2.06075e27i) q^{52} +1.13783e27 q^{53} +(1.38912e27 + 3.41739e27i) q^{54} -1.04638e28i q^{55} +(1.19909e28 + 5.24792e27i) q^{56} -1.60278e28 q^{57} +(7.07388e27 - 2.87542e27i) q^{58} -5.33270e27i q^{59} +(3.81530e28 + 3.91762e28i) q^{60} -5.47348e28 q^{61} +(-8.73075e27 - 2.14787e28i) q^{62} -3.48613e28i q^{63} +(-5.37556e28 - 5.82017e28i) q^{64} -1.71631e29 q^{65} +(1.29862e29 - 5.27871e28i) q^{66} -6.20754e28i q^{67} +(1.51306e29 - 1.47355e29i) q^{68} -2.06311e29 q^{69} +(2.86403e29 + 7.04587e29i) q^{70} -4.47902e29i q^{71} +(-8.46056e28 + 1.93313e29i) q^{72} +5.03491e29 q^{73} +(-4.60494e29 + 1.87183e29i) q^{74} +1.98979e30i q^{75} +(9.41421e29 + 9.66668e29i) q^{76} +1.94968e30 q^{77} +(-8.65830e29 - 2.13004e30i) q^{78} -1.79837e30i q^{79} +(1.21806e29 - 4.60216e30i) q^{80} -4.26084e30 q^{81} +(-1.69170e30 + 6.87649e29i) q^{82} +2.17738e30i q^{83} +(-7.29951e30 + 7.10887e30i) q^{84} +1.22726e31 q^{85} +(-4.51175e30 - 1.10995e31i) q^{86} +5.94423e30i q^{87} +(-1.08114e31 - 4.73171e30i) q^{88} +1.19112e31 q^{89} +(-1.13592e31 + 4.61732e30i) q^{90} -3.19792e31i q^{91} +(1.21181e31 + 1.24430e31i) q^{92} +1.80487e31 q^{93} +(1.67077e30 + 4.11029e30i) q^{94} +7.84072e31i q^{95} +(5.77300e31 - 2.17049e31i) q^{96} -9.02666e31 q^{97} +(-6.42303e31 + 2.61086e31i) q^{98} +3.14322e31i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 60712.0 24678.5i 0.926391 0.376563i
\(3\) 5.10167e7i 1.18515i 0.805516 + 0.592574i \(0.201888\pi\)
−0.805516 + 0.592574i \(0.798112\pi\)
\(4\) 3.07691e9 2.99655e9i 0.716400 0.697690i
\(5\) 2.49571e11 1.63559 0.817795 0.575510i \(-0.195196\pi\)
0.817795 + 0.575510i \(0.195196\pi\)
\(6\) 1.25901e12 + 3.09732e12i 0.446283 + 1.09791i
\(7\) 4.65014e13i 1.39926i 0.714507 + 0.699628i \(0.246651\pi\)
−0.714507 + 0.699628i \(0.753349\pi\)
\(8\) 1.12855e14 2.57860e14i 0.400942 0.916103i
\(9\) −7.49683e14 −0.404574
\(10\) 1.51520e16 6.15903e15i 1.51520 0.615903i
\(11\) 4.19273e16i 0.912461i −0.889862 0.456230i \(-0.849199\pi\)
0.889862 0.456230i \(-0.150801\pi\)
\(12\) 1.52874e17 + 1.56974e17i 0.826865 + 0.849039i
\(13\) −6.87705e17 −1.03350 −0.516748 0.856138i \(-0.672857\pi\)
−0.516748 + 0.856138i \(0.672857\pi\)
\(14\) 1.14758e18 + 2.82319e18i 0.526909 + 1.29626i
\(15\) 1.27323e19i 1.93841i
\(16\) 4.88063e17 1.84403e19i 0.0264580 0.999650i
\(17\) 4.91747e19 1.01055 0.505277 0.862957i \(-0.331390\pi\)
0.505277 + 0.862957i \(0.331390\pi\)
\(18\) −4.55147e19 + 1.85010e19i −0.374793 + 0.152348i
\(19\) 3.14168e20i 1.08919i 0.838699 + 0.544596i \(0.183317\pi\)
−0.838699 + 0.544596i \(0.816683\pi\)
\(20\) 7.67909e20 7.47854e20i 1.17174 1.14113i
\(21\) −2.37235e21 −1.65832
\(22\) −1.03470e21 2.54549e21i −0.343599 0.845295i
\(23\) 4.04400e21i 0.659425i 0.944081 + 0.329713i \(0.106952\pi\)
−0.944081 + 0.329713i \(0.893048\pi\)
\(24\) 1.31552e22 + 5.75750e21i 1.08572 + 0.475175i
\(25\) 3.90027e22 1.67515
\(26\) −4.17519e22 + 1.69715e22i −0.957420 + 0.389176i
\(27\) 5.62886e22i 0.705668i
\(28\) 1.39344e23 + 1.43081e23i 0.976247 + 1.00243i
\(29\) 1.16515e23 0.465603 0.232801 0.972524i \(-0.425211\pi\)
0.232801 + 0.972524i \(0.425211\pi\)
\(30\) 3.14213e23 + 7.73002e23i 0.729936 + 1.79573i
\(31\) 3.53780e23i 0.486347i −0.969983 0.243174i \(-0.921812\pi\)
0.969983 0.243174i \(-0.0781885\pi\)
\(32\) −4.25447e23 1.13159e24i −0.351921 0.936030i
\(33\) 2.13899e24 1.08140
\(34\) 2.98549e24 1.21356e24i 0.936167 0.380537i
\(35\) 1.16054e25i 2.28861i
\(36\) −2.30671e24 + 2.24647e24i −0.289837 + 0.282267i
\(37\) −7.58489e24 −0.614783 −0.307392 0.951583i \(-0.599456\pi\)
−0.307392 + 0.951583i \(0.599456\pi\)
\(38\) 7.75318e24 + 1.90737e25i 0.410150 + 1.00902i
\(39\) 3.50844e25i 1.22484i
\(40\) 2.81654e25 6.43545e25i 0.655776 1.49837i
\(41\) −2.78643e25 −0.437026 −0.218513 0.975834i \(-0.570121\pi\)
−0.218513 + 0.975834i \(0.570121\pi\)
\(42\) −1.44030e26 + 5.85459e25i −1.53626 + 0.624464i
\(43\) 1.82822e26i 1.33823i −0.743157 0.669117i \(-0.766672\pi\)
0.743157 0.669117i \(-0.233328\pi\)
\(44\) −1.25637e26 1.29007e26i −0.636614 0.653687i
\(45\) −1.87099e26 −0.661716
\(46\) 9.97996e25 + 2.45519e26i 0.248315 + 0.610885i
\(47\) 6.77015e25i 0.119408i 0.998216 + 0.0597039i \(0.0190157\pi\)
−0.998216 + 0.0597039i \(0.980984\pi\)
\(48\) 9.40763e26 + 2.48994e25i 1.18473 + 0.0313566i
\(49\) −1.05795e27 −0.957918
\(50\) 2.36793e27 9.62526e26i 1.55185 0.630801i
\(51\) 2.50873e27i 1.19765i
\(52\) −2.11601e27 + 2.06075e27i −0.740396 + 0.721059i
\(53\) 1.13783e27 0.293537 0.146769 0.989171i \(-0.453113\pi\)
0.146769 + 0.989171i \(0.453113\pi\)
\(54\) 1.38912e27 + 3.41739e27i 0.265729 + 0.653724i
\(55\) 1.04638e28i 1.49241i
\(56\) 1.19909e28 + 5.24792e27i 1.28186 + 0.561021i
\(57\) −1.60278e28 −1.29085
\(58\) 7.07388e27 2.87542e27i 0.431330 0.175329i
\(59\) 5.33270e27i 0.247352i −0.992323 0.123676i \(-0.960532\pi\)
0.992323 0.123676i \(-0.0394683\pi\)
\(60\) 3.81530e28 + 3.91762e28i 1.35241 + 1.38868i
\(61\) −5.47348e28 −1.48931 −0.744657 0.667448i \(-0.767387\pi\)
−0.744657 + 0.667448i \(0.767387\pi\)
\(62\) −8.73075e27 2.14787e28i −0.183141 0.450548i
\(63\) 3.48613e28i 0.566102i
\(64\) −5.37556e28 5.82017e28i −0.678491 0.734609i
\(65\) −1.71631e29 −1.69037
\(66\) 1.29862e29 5.27871e28i 1.00180 0.407216i
\(67\) 6.20754e28i 0.376464i −0.982125 0.188232i \(-0.939724\pi\)
0.982125 0.188232i \(-0.0602756\pi\)
\(68\) 1.51306e29 1.47355e29i 0.723960 0.705053i
\(69\) −2.06311e29 −0.781516
\(70\) 2.86403e29 + 7.04587e29i 0.861806 + 2.12015i
\(71\) 4.47902e29i 1.07411i −0.843546 0.537056i \(-0.819536\pi\)
0.843546 0.537056i \(-0.180464\pi\)
\(72\) −8.46056e28 + 1.93313e29i −0.162211 + 0.370631i
\(73\) 5.03491e29 0.774151 0.387076 0.922048i \(-0.373485\pi\)
0.387076 + 0.922048i \(0.373485\pi\)
\(74\) −4.60494e29 + 1.87183e29i −0.569529 + 0.231505i
\(75\) 1.98979e30i 1.98530i
\(76\) 9.41421e29 + 9.66668e29i 0.759918 + 0.780297i
\(77\) 1.94968e30 1.27677
\(78\) −8.65830e29 2.13004e30i −0.461231 1.13468i
\(79\) 1.79837e30i 0.781349i −0.920529 0.390674i \(-0.872242\pi\)
0.920529 0.390674i \(-0.127758\pi\)
\(80\) 1.21806e29 4.60216e30i 0.0432743 1.63502i
\(81\) −4.26084e30 −1.24089
\(82\) −1.69170e30 + 6.87649e29i −0.404857 + 0.164568i
\(83\) 2.17738e30i 0.429224i 0.976699 + 0.214612i \(0.0688487\pi\)
−0.976699 + 0.214612i \(0.931151\pi\)
\(84\) −7.29951e30 + 7.10887e30i −1.18802 + 1.15700i
\(85\) 1.22726e31 1.65285
\(86\) −4.51175e30 1.10995e31i −0.503930 1.23973i
\(87\) 5.94423e30i 0.551808i
\(88\) −1.08114e31 4.73171e30i −0.835908 0.365844i
\(89\) 1.19112e31 0.768627 0.384314 0.923203i \(-0.374438\pi\)
0.384314 + 0.923203i \(0.374438\pi\)
\(90\) −1.13592e31 + 4.61732e30i −0.613008 + 0.249178i
\(91\) 3.19792e31i 1.44612i
\(92\) 1.21181e31 + 1.24430e31i 0.460074 + 0.472412i
\(93\) 1.80487e31 0.576393
\(94\) 1.67077e30 + 4.11029e30i 0.0449646 + 0.110618i
\(95\) 7.84072e31i 1.78147i
\(96\) 5.77300e31 2.17049e31i 1.10933 0.417078i
\(97\) −9.02666e31 −1.46953 −0.734767 0.678320i \(-0.762708\pi\)
−0.734767 + 0.678320i \(0.762708\pi\)
\(98\) −6.42303e31 + 2.61086e31i −0.887406 + 0.360717i
\(99\) 3.14322e31i 0.369157i
\(100\) 1.20008e32 1.16874e32i 1.20008 1.16874i
\(101\) 2.25353e32 1.92186 0.960929 0.276794i \(-0.0892719\pi\)
0.960929 + 0.276794i \(0.0892719\pi\)
\(102\) 6.19116e31 + 1.52310e32i 0.450993 + 1.10950i
\(103\) 1.26169e32i 0.786242i −0.919487 0.393121i \(-0.871395\pi\)
0.919487 0.393121i \(-0.128605\pi\)
\(104\) −7.76110e31 + 1.77332e32i −0.414372 + 0.946788i
\(105\) −5.92069e32 −2.71234
\(106\) 6.90799e31 2.80799e31i 0.271930 0.110535i
\(107\) 4.06321e32i 1.37635i −0.725545 0.688175i \(-0.758412\pi\)
0.725545 0.688175i \(-0.241588\pi\)
\(108\) 1.68672e32 + 1.73195e32i 0.492337 + 0.505540i
\(109\) −5.20609e32 −1.31126 −0.655629 0.755083i \(-0.727596\pi\)
−0.655629 + 0.755083i \(0.727596\pi\)
\(110\) −2.58232e32 6.35281e32i −0.561987 1.38256i
\(111\) 3.86956e32i 0.728608i
\(112\) 8.57499e32 + 2.26956e31i 1.39877 + 0.0370215i
\(113\) 4.51919e32 0.639448 0.319724 0.947511i \(-0.396410\pi\)
0.319724 + 0.947511i \(0.396410\pi\)
\(114\) −9.73079e32 + 3.95542e32i −1.19583 + 0.486088i
\(115\) 1.00927e33i 1.07855i
\(116\) 3.58508e32 3.49145e32i 0.333558 0.324846i
\(117\) 5.15561e32 0.418125
\(118\) −1.31603e32 3.23759e32i −0.0931436 0.229144i
\(119\) 2.28669e33i 1.41402i
\(120\) 3.28315e33 + 1.43690e33i 1.77579 + 0.777192i
\(121\) 3.53478e32 0.167416
\(122\) −3.32306e33 + 1.35077e33i −1.37969 + 0.560821i
\(123\) 1.42155e33i 0.517940i
\(124\) −1.06012e33 1.08855e33i −0.339320 0.348419i
\(125\) 3.92316e33 1.10427
\(126\) −8.60323e32 2.11650e33i −0.213173 0.524432i
\(127\) 5.08881e33i 1.11111i −0.831480 0.555555i \(-0.812506\pi\)
0.831480 0.555555i \(-0.187494\pi\)
\(128\) −4.69994e33 2.20693e33i −0.905175 0.425040i
\(129\) 9.32695e33 1.58600
\(130\) −1.04201e34 + 4.23560e33i −1.56595 + 0.636533i
\(131\) 7.19059e33i 0.955925i 0.878380 + 0.477962i \(0.158624\pi\)
−0.878380 + 0.477962i \(0.841376\pi\)
\(132\) 6.58150e33 6.40961e33i 0.774715 0.754482i
\(133\) −1.46092e34 −1.52406
\(134\) −1.53193e33 3.76872e33i −0.141762 0.348752i
\(135\) 1.40480e34i 1.15418i
\(136\) 5.54962e33 1.26802e34i 0.405173 0.925771i
\(137\) −2.68810e33 −0.174548 −0.0872741 0.996184i \(-0.527816\pi\)
−0.0872741 + 0.996184i \(0.527816\pi\)
\(138\) −1.25256e34 + 5.09145e33i −0.723989 + 0.294290i
\(139\) 3.58167e34i 1.84437i −0.386744 0.922187i \(-0.626400\pi\)
0.386744 0.922187i \(-0.373600\pi\)
\(140\) 3.47762e34 + 3.57088e34i 1.59674 + 1.63956i
\(141\) −3.45391e33 −0.141516
\(142\) −1.10535e34 2.71930e34i −0.404471 0.995048i
\(143\) 2.88336e34i 0.943024i
\(144\) −3.65893e32 + 1.38244e34i −0.0107042 + 0.404432i
\(145\) 2.90789e34 0.761535
\(146\) 3.05679e34 1.24254e34i 0.717167 0.291517i
\(147\) 5.39732e34i 1.13527i
\(148\) −2.33381e34 + 2.27285e34i −0.440431 + 0.428928i
\(149\) −8.57097e34 −1.45228 −0.726139 0.687548i \(-0.758687\pi\)
−0.726139 + 0.687548i \(0.758687\pi\)
\(150\) 4.91049e34 + 1.20804e35i 0.747592 + 1.83917i
\(151\) 7.17265e34i 0.981857i 0.871200 + 0.490929i \(0.163342\pi\)
−0.871200 + 0.490929i \(0.836658\pi\)
\(152\) 8.10114e34 + 3.54555e34i 0.997812 + 0.436702i
\(153\) −3.68655e34 −0.408843
\(154\) 1.18369e35 4.81151e34i 1.18278 0.480783i
\(155\) 8.82933e34i 0.795464i
\(156\) −1.05132e35 1.07952e35i −0.854561 0.877478i
\(157\) −1.95517e33 −0.0143480 −0.00717399 0.999974i \(-0.502284\pi\)
−0.00717399 + 0.999974i \(0.502284\pi\)
\(158\) −4.43809e34 1.09182e35i −0.294227 0.723835i
\(159\) 5.80483e34i 0.347885i
\(160\) −1.06179e35 2.82412e35i −0.575599 1.53096i
\(161\) −1.88052e35 −0.922705
\(162\) −2.58684e35 + 1.05151e35i −1.14955 + 0.467275i
\(163\) 8.07068e34i 0.325019i −0.986707 0.162509i \(-0.948041\pi\)
0.986707 0.162509i \(-0.0519588\pi\)
\(164\) −8.57362e34 + 8.34970e34i −0.313085 + 0.304908i
\(165\) 5.33831e35 1.76873
\(166\) 5.37343e34 + 1.32193e35i 0.161630 + 0.397629i
\(167\) 6.85162e33i 0.0187210i 0.999956 + 0.00936052i \(0.00297959\pi\)
−0.999956 + 0.00936052i \(0.997020\pi\)
\(168\) −2.67732e35 + 6.11734e35i −0.664892 + 1.51920i
\(169\) 3.01587e34 0.0681123
\(170\) 7.45093e35 3.02869e35i 1.53119 0.622403i
\(171\) 2.35526e35i 0.440658i
\(172\) −5.47835e35 5.62526e35i −0.933672 0.958711i
\(173\) 9.99732e35 1.55291 0.776454 0.630174i \(-0.217016\pi\)
0.776454 + 0.630174i \(0.217016\pi\)
\(174\) 1.46695e35 + 3.60886e35i 0.207791 + 0.511190i
\(175\) 1.81368e36i 2.34397i
\(176\) −7.73152e35 2.04632e34i −0.912141 0.0241418i
\(177\) 2.72057e35 0.293148
\(178\) 7.23153e35 2.93950e35i 0.712049 0.289437i
\(179\) 4.70514e35i 0.423569i 0.977316 + 0.211785i \(0.0679275\pi\)
−0.977316 + 0.211785i \(0.932072\pi\)
\(180\) −5.75689e35 + 5.60653e35i −0.474054 + 0.461673i
\(181\) −7.45049e35 −0.561471 −0.280736 0.959785i \(-0.590578\pi\)
−0.280736 + 0.959785i \(0.590578\pi\)
\(182\) −7.89198e35 1.94152e36i −0.544558 1.33968i
\(183\) 2.79239e36i 1.76506i
\(184\) 1.04279e36 + 4.56386e35i 0.604102 + 0.264391i
\(185\) −1.89297e36 −1.00553
\(186\) 1.09577e36 4.45414e35i 0.533965 0.217049i
\(187\) 2.06176e36i 0.922090i
\(188\) 2.02871e35 + 2.08312e35i 0.0833096 + 0.0855438i
\(189\) −2.61750e36 −0.987410
\(190\) 1.93497e36 + 4.76026e36i 0.670836 + 1.65034i
\(191\) 3.68249e36i 1.17384i 0.809646 + 0.586919i \(0.199659\pi\)
−0.809646 + 0.586919i \(0.800341\pi\)
\(192\) 2.96926e36 2.74243e36i 0.870619 0.804112i
\(193\) 8.17250e35 0.220515 0.110258 0.993903i \(-0.464832\pi\)
0.110258 + 0.993903i \(0.464832\pi\)
\(194\) −5.48026e36 + 2.22764e36i −1.36136 + 0.553372i
\(195\) 8.75606e36i 2.00334i
\(196\) −3.25523e36 + 3.17021e36i −0.686252 + 0.668330i
\(197\) −3.31320e36 −0.643855 −0.321928 0.946764i \(-0.604331\pi\)
−0.321928 + 0.946764i \(0.604331\pi\)
\(198\) 7.75698e35 + 1.90831e36i 0.139011 + 0.341984i
\(199\) 6.72031e36i 1.11107i 0.831495 + 0.555533i \(0.187486\pi\)
−0.831495 + 0.555533i \(0.812514\pi\)
\(200\) 4.40165e36 1.00572e37i 0.671639 1.53461i
\(201\) 3.16688e36 0.446165
\(202\) 1.36816e37 5.56137e36i 1.78039 0.723702i
\(203\) 5.41813e36i 0.651498i
\(204\) 7.51755e36 + 7.71915e36i 0.835591 + 0.858000i
\(205\) −6.95414e36 −0.714795
\(206\) −3.11365e36 7.65995e36i −0.296070 0.728367i
\(207\) 3.03172e36i 0.266786i
\(208\) −3.35643e35 + 1.26815e37i −0.0273442 + 1.03313i
\(209\) 1.31722e37 0.993844
\(210\) −3.59457e37 + 1.46114e37i −2.51269 + 1.02137i
\(211\) 2.52226e37i 1.63407i 0.576586 + 0.817036i \(0.304385\pi\)
−0.576586 + 0.817036i \(0.695615\pi\)
\(212\) 3.50100e36 3.40957e36i 0.210290 0.204798i
\(213\) 2.28505e37 1.27298
\(214\) −1.00274e37 2.46685e37i −0.518283 1.27504i
\(215\) 4.56270e37i 2.18880i
\(216\) 1.45146e37 + 6.35246e36i 0.646465 + 0.282932i
\(217\) 1.64513e37 0.680524
\(218\) −3.16072e37 + 1.28478e37i −1.21474 + 0.493771i
\(219\) 2.56864e37i 0.917483i
\(220\) −3.13555e37 3.21964e37i −1.04124 1.06916i
\(221\) −3.38177e37 −1.04440
\(222\) −9.54948e36 2.34929e37i −0.274367 0.674976i
\(223\) 3.57438e37i 0.955703i −0.878441 0.477851i \(-0.841416\pi\)
0.878441 0.477851i \(-0.158584\pi\)
\(224\) 5.26205e37 1.97839e37i 1.30975 0.492428i
\(225\) −2.92397e37 −0.677723
\(226\) 2.74369e37 1.11527e37i 0.592379 0.240793i
\(227\) 2.14630e37i 0.431794i 0.976416 + 0.215897i \(0.0692675\pi\)
−0.976416 + 0.215897i \(0.930733\pi\)
\(228\) −4.93162e37 + 4.80282e37i −0.924766 + 0.900614i
\(229\) 6.83961e37 1.19581 0.597907 0.801565i \(-0.295999\pi\)
0.597907 + 0.801565i \(0.295999\pi\)
\(230\) 2.49071e37 + 6.12745e37i 0.406142 + 0.999158i
\(231\) 9.94661e37i 1.51316i
\(232\) 1.31494e37 3.00447e37i 0.186680 0.426540i
\(233\) −5.97446e37 −0.791778 −0.395889 0.918298i \(-0.629564\pi\)
−0.395889 + 0.918298i \(0.629564\pi\)
\(234\) 3.13007e37 1.27232e37i 0.387347 0.157451i
\(235\) 1.68964e37i 0.195302i
\(236\) −1.59797e37 1.64083e37i −0.172575 0.177203i
\(237\) 9.17468e37 0.926013
\(238\) 5.64321e37 + 1.38830e38i 0.532469 + 1.30994i
\(239\) 1.48844e38i 1.31330i −0.754195 0.656651i \(-0.771973\pi\)
0.754195 0.656651i \(-0.228027\pi\)
\(240\) 2.34787e38 + 6.21416e36i 1.93774 + 0.0512865i
\(241\) −1.20182e38 −0.928040 −0.464020 0.885825i \(-0.653593\pi\)
−0.464020 + 0.885825i \(0.653593\pi\)
\(242\) 2.14603e37 8.72329e36i 0.155092 0.0630427i
\(243\) 1.13070e38i 0.764974i
\(244\) −1.68414e38 + 1.64016e38i −1.06694 + 1.03908i
\(245\) −2.64034e38 −1.56676
\(246\) −3.50816e37 8.63049e37i −0.195037 0.479815i
\(247\) 2.16055e38i 1.12567i
\(248\) −9.12258e37 3.99259e37i −0.445544 0.194997i
\(249\) −1.11083e38 −0.508694
\(250\) 2.38183e38 9.68176e37i 1.02299 0.415829i
\(251\) 2.24908e38i 0.906201i 0.891459 + 0.453100i \(0.149682\pi\)
−0.891459 + 0.453100i \(0.850318\pi\)
\(252\) −1.04464e38 1.07265e38i −0.394964 0.405556i
\(253\) 1.69554e38 0.601699
\(254\) −1.25584e38 3.08952e38i −0.418403 1.02932i
\(255\) 6.26107e38i 1.95887i
\(256\) −3.39806e38 1.80000e37i −0.998600 0.0528974i
\(257\) 3.64164e38 1.00547 0.502733 0.864442i \(-0.332328\pi\)
0.502733 + 0.864442i \(0.332328\pi\)
\(258\) 5.66257e38 2.30175e38i 1.46926 0.597231i
\(259\) 3.52708e38i 0.860239i
\(260\) −5.28095e38 + 5.14303e38i −1.21098 + 1.17936i
\(261\) −8.73497e37 −0.188371
\(262\) 1.77453e38 + 4.36555e38i 0.359966 + 0.885560i
\(263\) 6.65323e38i 1.26981i −0.772588 0.634907i \(-0.781038\pi\)
0.772588 0.634907i \(-0.218962\pi\)
\(264\) 2.41396e38 5.51561e38i 0.433579 0.990674i
\(265\) 2.83969e38 0.480107
\(266\) −8.86955e38 + 3.60534e38i −1.41187 + 0.573904i
\(267\) 6.07671e38i 0.910937i
\(268\) −1.86012e38 1.91001e38i −0.262655 0.269699i
\(269\) 4.52066e38 0.601403 0.300701 0.953718i \(-0.402779\pi\)
0.300701 + 0.953718i \(0.402779\pi\)
\(270\) 3.46683e38 + 8.52882e38i 0.434623 + 1.06922i
\(271\) 1.41567e39i 1.67284i 0.548092 + 0.836418i \(0.315354\pi\)
−0.548092 + 0.836418i \(0.684646\pi\)
\(272\) 2.40004e37 9.06796e38i 0.0267372 1.01020i
\(273\) 1.63147e39 1.71387
\(274\) −1.63199e38 + 6.63380e37i −0.161700 + 0.0657285i
\(275\) 1.63528e39i 1.52851i
\(276\) −6.34803e38 + 6.18223e38i −0.559878 + 0.545256i
\(277\) −3.33834e36 −0.00277878 −0.00138939 0.999999i \(-0.500442\pi\)
−0.00138939 + 0.999999i \(0.500442\pi\)
\(278\) −8.83902e38 2.17450e39i −0.694524 1.70861i
\(279\) 2.65223e38i 0.196763i
\(280\) 2.99257e39 + 1.30973e39i 2.09660 + 0.917599i
\(281\) −1.77763e39 −1.17636 −0.588179 0.808731i \(-0.700155\pi\)
−0.588179 + 0.808731i \(0.700155\pi\)
\(282\) −2.09694e38 + 8.52372e37i −0.131099 + 0.0532897i
\(283\) 1.97454e39i 1.16650i 0.812294 + 0.583248i \(0.198218\pi\)
−0.812294 + 0.583248i \(0.801782\pi\)
\(284\) −1.34216e39 1.37816e39i −0.749397 0.769494i
\(285\) −4.00008e39 −2.11130
\(286\) 7.11569e38 + 1.75055e39i 0.355108 + 0.873608i
\(287\) 1.29573e39i 0.611511i
\(288\) 3.18950e38 + 8.48334e38i 0.142378 + 0.378693i
\(289\) 5.02422e37 0.0212179
\(290\) 1.76544e39 7.17622e38i 0.705479 0.286766i
\(291\) 4.60510e39i 1.74161i
\(292\) 1.54920e39 1.50874e39i 0.554602 0.540117i
\(293\) −2.15799e39 −0.731422 −0.365711 0.930729i \(-0.619174\pi\)
−0.365711 + 0.930729i \(0.619174\pi\)
\(294\) −1.33197e39 3.27682e39i −0.427503 1.05171i
\(295\) 1.33089e39i 0.404566i
\(296\) −8.55994e38 + 1.95584e39i −0.246492 + 0.563205i
\(297\) 2.36003e39 0.643894
\(298\) −5.20360e39 + 2.11518e39i −1.34538 + 0.546874i
\(299\) 2.78108e39i 0.681513i
\(300\) 5.96251e39 + 6.12241e39i 1.38513 + 1.42227i
\(301\) 8.50145e39 1.87253
\(302\) 1.77010e39 + 4.35466e39i 0.369732 + 0.909584i
\(303\) 1.14968e40i 2.27769i
\(304\) 5.79335e39 + 1.53334e38i 1.08881 + 0.0288178i
\(305\) −1.36602e40 −2.43591
\(306\) −2.23817e39 + 9.09783e38i −0.378749 + 0.153955i
\(307\) 4.21465e39i 0.676936i 0.940978 + 0.338468i \(0.109909\pi\)
−0.940978 + 0.338468i \(0.890091\pi\)
\(308\) 5.99899e39 5.84232e39i 0.914675 0.890787i
\(309\) 6.43671e39 0.931812
\(310\) −2.17894e39 5.36046e39i −0.299543 0.736911i
\(311\) 8.06001e38i 0.105237i 0.998615 + 0.0526186i \(0.0167568\pi\)
−0.998615 + 0.0526186i \(0.983243\pi\)
\(312\) −9.04688e39 3.95946e39i −1.12208 0.491091i
\(313\) 9.82093e38 0.115729 0.0578646 0.998324i \(-0.481571\pi\)
0.0578646 + 0.998324i \(0.481571\pi\)
\(314\) −1.18702e38 + 4.82506e37i −0.0132918 + 0.00540292i
\(315\) 8.70038e39i 0.925911i
\(316\) −5.38891e39 5.53342e39i −0.545139 0.559758i
\(317\) 9.87696e39 0.949894 0.474947 0.880014i \(-0.342467\pi\)
0.474947 + 0.880014i \(0.342467\pi\)
\(318\) 1.43254e39 + 3.52423e39i 0.131001 + 0.322277i
\(319\) 4.88518e39i 0.424844i
\(320\) −1.34158e40 1.45255e40i −1.10973 1.20152i
\(321\) 2.07291e40 1.63118
\(322\) −1.14170e40 + 4.64082e39i −0.854785 + 0.347457i
\(323\) 1.54491e40i 1.10069i
\(324\) −1.31102e40 + 1.27678e40i −0.888976 + 0.865759i
\(325\) −2.68223e40 −1.73126
\(326\) −1.99172e39 4.89987e39i −0.122390 0.301094i
\(327\) 2.65598e40i 1.55403i
\(328\) −3.14463e39 + 7.18510e39i −0.175222 + 0.400361i
\(329\) −3.14822e39 −0.167082
\(330\) 3.24099e40 1.31741e40i 1.63853 0.666038i
\(331\) 2.26441e40i 1.09071i 0.838207 + 0.545353i \(0.183604\pi\)
−0.838207 + 0.545353i \(0.816396\pi\)
\(332\) 6.52463e39 + 6.69960e39i 0.299465 + 0.307496i
\(333\) 5.68627e39 0.248725
\(334\) 1.69087e38 + 4.15975e38i 0.00704966 + 0.0173430i
\(335\) 1.54922e40i 0.615740i
\(336\) −1.15785e39 + 4.37468e40i −0.0438759 + 1.65774i
\(337\) 2.83693e40 1.02511 0.512555 0.858655i \(-0.328699\pi\)
0.512555 + 0.858655i \(0.328699\pi\)
\(338\) 1.83099e39 7.44270e38i 0.0630986 0.0256486i
\(339\) 2.30554e40i 0.757840i
\(340\) 3.77617e40 3.67755e40i 1.18410 1.15318i
\(341\) −1.48331e40 −0.443773
\(342\) −5.81243e39 1.42993e40i −0.165936 0.408222i
\(343\) 2.16122e39i 0.0588835i
\(344\) −4.71424e40 2.06323e40i −1.22596 0.536554i
\(345\) −5.14894e40 −1.27824
\(346\) 6.06957e40 2.46718e40i 1.43860 0.584768i
\(347\) 3.40376e40i 0.770349i 0.922844 + 0.385175i \(0.125859\pi\)
−0.922844 + 0.385175i \(0.874141\pi\)
\(348\) 1.78122e40 + 1.82899e40i 0.384991 + 0.395315i
\(349\) −5.22160e40 −1.07795 −0.538973 0.842323i \(-0.681187\pi\)
−0.538973 + 0.842323i \(0.681187\pi\)
\(350\) 4.47588e40 + 1.10112e41i 0.882652 + 2.17143i
\(351\) 3.87099e40i 0.729304i
\(352\) −4.74445e40 + 1.78378e40i −0.854090 + 0.321114i
\(353\) 8.73532e40 1.50274 0.751369 0.659882i \(-0.229394\pi\)
0.751369 + 0.659882i \(0.229394\pi\)
\(354\) 1.65171e40 6.71394e39i 0.271570 0.110389i
\(355\) 1.11783e41i 1.75681i
\(356\) 3.66498e40 3.56926e40i 0.550645 0.536264i
\(357\) −1.16660e41 −1.67583
\(358\) 1.16116e40 + 2.85658e40i 0.159501 + 0.392391i
\(359\) 1.80854e39i 0.0237584i −0.999929 0.0118792i \(-0.996219\pi\)
0.999929 0.0118792i \(-0.00378135\pi\)
\(360\) −2.11151e40 + 4.82455e40i −0.265310 + 0.606201i
\(361\) −1.55030e40 −0.186337
\(362\) −4.52334e40 + 1.83867e40i −0.520142 + 0.211430i
\(363\) 1.80333e40i 0.198412i
\(364\) −9.58275e40 9.83974e40i −1.00895 1.03600i
\(365\) 1.25657e41 1.26619
\(366\) −6.89119e40 1.69531e41i −0.664655 1.63513i
\(367\) 4.27904e40i 0.395084i 0.980294 + 0.197542i \(0.0632959\pi\)
−0.980294 + 0.197542i \(0.936704\pi\)
\(368\) 7.45725e40 + 1.97373e39i 0.659194 + 0.0174470i
\(369\) 2.08894e40 0.176809
\(370\) −1.14926e41 + 4.67156e40i −0.931516 + 0.378647i
\(371\) 5.29107e40i 0.410734i
\(372\) 5.55343e40 5.40839e40i 0.412928 0.402144i
\(373\) 2.44105e40 0.173875 0.0869373 0.996214i \(-0.472292\pi\)
0.0869373 + 0.996214i \(0.472292\pi\)
\(374\) −5.08812e40 1.25174e41i −0.347225 0.854216i
\(375\) 2.00147e41i 1.30873i
\(376\) 1.74575e40 + 7.64047e39i 0.109390 + 0.0478756i
\(377\) −8.01282e40 −0.481198
\(378\) −1.58913e41 + 6.45958e40i −0.914728 + 0.371822i
\(379\) 1.39770e41i 0.771236i −0.922658 0.385618i \(-0.873988\pi\)
0.922658 0.385618i \(-0.126012\pi\)
\(380\) 2.34952e41 + 2.41252e41i 1.24291 + 1.27624i
\(381\) 2.59615e41 1.31683
\(382\) 9.08782e40 + 2.23571e41i 0.442024 + 1.08743i
\(383\) 4.23797e40i 0.197687i 0.995103 + 0.0988433i \(0.0315143\pi\)
−0.995103 + 0.0988433i \(0.968486\pi\)
\(384\) 1.12590e41 2.39775e41i 0.503735 1.07277i
\(385\) 4.86583e41 2.08827
\(386\) 4.96169e40 2.01685e40i 0.204283 0.0830379i
\(387\) 1.37058e41i 0.541414i
\(388\) −2.77743e41 + 2.70489e41i −1.05277 + 1.02528i
\(389\) −1.85666e41 −0.675366 −0.337683 0.941260i \(-0.609643\pi\)
−0.337683 + 0.941260i \(0.609643\pi\)
\(390\) −2.16086e41 5.31598e41i −0.754385 1.85588i
\(391\) 1.98862e41i 0.666384i
\(392\) −1.19395e41 + 2.72803e41i −0.384070 + 0.877552i
\(393\) −3.66840e41 −1.13291
\(394\) −2.01151e41 + 8.17647e40i −0.596462 + 0.242452i
\(395\) 4.48821e41i 1.27797i
\(396\) 9.41883e40 + 9.67142e40i 0.257557 + 0.264464i
\(397\) −7.51305e40 −0.197319 −0.0986594 0.995121i \(-0.531455\pi\)
−0.0986594 + 0.995121i \(0.531455\pi\)
\(398\) 1.65847e41 + 4.08003e41i 0.418387 + 1.02928i
\(399\) 7.45315e41i 1.80623i
\(400\) 1.90358e40 7.19221e41i 0.0443211 1.67457i
\(401\) −1.59206e41 −0.356164 −0.178082 0.984016i \(-0.556989\pi\)
−0.178082 + 0.984016i \(0.556989\pi\)
\(402\) 1.92268e41 7.81538e40i 0.413323 0.168009i
\(403\) 2.43296e41i 0.502638i
\(404\) 6.93392e41 6.75283e41i 1.37682 1.34086i
\(405\) −1.06338e42 −2.02959
\(406\) 1.33711e41 + 3.28945e41i 0.245330 + 0.603541i
\(407\) 3.18014e41i 0.560965i
\(408\) 6.46902e41 + 2.83123e41i 1.09718 + 0.480190i
\(409\) −5.39300e41 −0.879543 −0.439772 0.898110i \(-0.644941\pi\)
−0.439772 + 0.898110i \(0.644941\pi\)
\(410\) −4.22199e41 + 1.71617e41i −0.662179 + 0.269166i
\(411\) 1.37138e41i 0.206865i
\(412\) −3.78071e41 3.88210e41i −0.548553 0.563263i
\(413\) 2.47978e41 0.346109
\(414\) −7.48181e40 1.84061e41i −0.100462 0.247148i
\(415\) 5.43411e41i 0.702035i
\(416\) 2.92582e41 + 7.78200e41i 0.363709 + 0.967382i
\(417\) 1.82725e42 2.18586
\(418\) 7.99711e41 3.25070e41i 0.920688 0.374245i
\(419\) 2.11602e41i 0.234474i 0.993104 + 0.117237i \(0.0374037\pi\)
−0.993104 + 0.117237i \(0.962596\pi\)
\(420\) −1.82175e42 + 1.77417e42i −1.94312 + 1.89237i
\(421\) −1.06108e42 −1.08951 −0.544757 0.838594i \(-0.683378\pi\)
−0.544757 + 0.838594i \(0.683378\pi\)
\(422\) 6.22456e41 + 1.53132e42i 0.615332 + 1.51379i
\(423\) 5.07547e40i 0.0483093i
\(424\) 1.28410e41 2.93401e41i 0.117691 0.268911i
\(425\) 1.91795e42 1.69283
\(426\) 1.38730e42 5.63915e41i 1.17928 0.479358i
\(427\) 2.54524e42i 2.08393i
\(428\) −1.21756e42 1.25021e42i −0.960265 0.986016i
\(429\) −1.47100e42 −1.11762
\(430\) −1.12600e42 2.77010e42i −0.824222 2.02769i
\(431\) 1.51417e42i 1.06792i 0.845510 + 0.533960i \(0.179297\pi\)
−0.845510 + 0.533960i \(0.820703\pi\)
\(432\) 1.03798e42 + 2.74724e40i 0.705421 + 0.0186705i
\(433\) 1.62637e42 1.06516 0.532579 0.846380i \(-0.321223\pi\)
0.532579 + 0.846380i \(0.321223\pi\)
\(434\) 9.98789e41 4.05992e41i 0.630432 0.256261i
\(435\) 1.48351e42i 0.902531i
\(436\) −1.60187e42 + 1.56003e42i −0.939385 + 0.914851i
\(437\) −1.27049e42 −0.718240
\(438\) 6.33902e41 + 1.55947e42i 0.345491 + 0.849948i
\(439\) 5.61498e41i 0.295064i 0.989057 + 0.147532i \(0.0471329\pi\)
−0.989057 + 0.147532i \(0.952867\pi\)
\(440\) −2.69821e42 1.18090e42i −1.36720 0.598370i
\(441\) 7.93128e41 0.387548
\(442\) −2.05314e42 + 8.34569e41i −0.967524 + 0.393284i
\(443\) 3.65040e42i 1.65913i 0.558408 + 0.829566i \(0.311412\pi\)
−0.558408 + 0.829566i \(0.688588\pi\)
\(444\) −1.15954e42 1.19063e42i −0.508343 0.521975i
\(445\) 2.97269e42 1.25716
\(446\) −8.82102e41 2.17008e42i −0.359883 0.885354i
\(447\) 4.37262e42i 1.72116i
\(448\) 2.70646e42 2.49971e42i 1.02791 0.949383i
\(449\) −1.04369e41 −0.0382500 −0.0191250 0.999817i \(-0.506088\pi\)
−0.0191250 + 0.999817i \(0.506088\pi\)
\(450\) −1.77520e42 + 7.21590e41i −0.627836 + 0.255206i
\(451\) 1.16828e42i 0.398769i
\(452\) 1.39052e42 1.35420e42i 0.458101 0.446137i
\(453\) −3.65925e42 −1.16365
\(454\) 5.29673e41 + 1.30306e42i 0.162598 + 0.400010i
\(455\) 7.98109e42i 2.36527i
\(456\) −1.80882e42 + 4.13293e42i −0.517557 + 1.18255i
\(457\) 1.25344e42 0.346293 0.173147 0.984896i \(-0.444607\pi\)
0.173147 + 0.984896i \(0.444607\pi\)
\(458\) 4.15246e42 1.68791e42i 1.10779 0.450300i
\(459\) 2.76798e42i 0.713115i
\(460\) 3.02432e42 + 3.10542e42i 0.752493 + 0.772672i
\(461\) −5.99142e42 −1.43984 −0.719921 0.694056i \(-0.755822\pi\)
−0.719921 + 0.694056i \(0.755822\pi\)
\(462\) 2.45467e42 + 6.03878e42i 0.569799 + 1.40177i
\(463\) 5.84792e42i 1.31131i 0.755060 + 0.655656i \(0.227608\pi\)
−0.755060 + 0.655656i \(0.772392\pi\)
\(464\) 5.68669e40 2.14858e42i 0.0123189 0.465440i
\(465\) 4.50443e42 0.942742
\(466\) −3.62721e42 + 1.47440e42i −0.733496 + 0.298155i
\(467\) 6.14480e42i 1.20071i −0.799734 0.600354i \(-0.795026\pi\)
0.799734 0.600354i \(-0.204974\pi\)
\(468\) 1.58634e42 1.54491e42i 0.299545 0.291721i
\(469\) 2.88659e42 0.526769
\(470\) 4.16976e41 + 1.02581e42i 0.0735437 + 0.180926i
\(471\) 9.97464e40i 0.0170045i
\(472\) −1.37509e42 6.01823e41i −0.226600 0.0991737i
\(473\) −7.66522e42 −1.22109
\(474\) 5.57013e42 2.26417e42i 0.857850 0.348703i
\(475\) 1.22534e43i 1.82456i
\(476\) 6.85220e42 + 7.03596e42i 0.986549 + 1.01301i
\(477\) −8.53012e41 −0.118757
\(478\) −3.67324e42 9.03660e42i −0.494541 1.21663i
\(479\) 3.58791e42i 0.467168i 0.972337 + 0.233584i \(0.0750454\pi\)
−0.972337 + 0.233584i \(0.924955\pi\)
\(480\) 1.44077e43 5.41691e42i 1.81441 0.682169i
\(481\) 5.21617e42 0.635375
\(482\) −7.29648e42 + 2.96591e42i −0.859728 + 0.349466i
\(483\) 9.59377e42i 1.09354i
\(484\) 1.08762e42 1.05922e42i 0.119937 0.116804i
\(485\) −2.25279e43 −2.40355
\(486\) −2.79039e42 6.86469e42i −0.288061 0.708665i
\(487\) 1.26614e43i 1.26479i −0.774644 0.632397i \(-0.782071\pi\)
0.774644 0.632397i \(-0.217929\pi\)
\(488\) −6.17710e42 + 1.41139e43i −0.597128 + 1.36437i
\(489\) 4.11739e42 0.385195
\(490\) −1.60300e43 + 6.51595e42i −1.45143 + 0.589985i
\(491\) 1.91062e43i 1.67445i −0.546861 0.837224i \(-0.684177\pi\)
0.546861 0.837224i \(-0.315823\pi\)
\(492\) −4.25974e42 4.37398e42i −0.361361 0.371052i
\(493\) 5.72961e42 0.470516
\(494\) −5.33190e42 1.31171e43i −0.423888 1.04281i
\(495\) 7.84457e42i 0.603790i
\(496\) −6.52381e42 1.72667e41i −0.486177 0.0128678i
\(497\) 2.08281e43 1.50296
\(498\) −6.74404e42 + 2.74135e42i −0.471249 + 0.191555i
\(499\) 2.27907e43i 1.54223i 0.636695 + 0.771116i \(0.280301\pi\)
−0.636695 + 0.771116i \(0.719699\pi\)
\(500\) 1.20712e43 1.17560e43i 0.791101 0.770440i
\(501\) −3.49547e41 −0.0221872
\(502\) 5.55037e42 + 1.36546e43i 0.341242 + 0.839496i
\(503\) 1.26686e43i 0.754465i 0.926119 + 0.377233i \(0.123124\pi\)
−0.926119 + 0.377233i \(0.876876\pi\)
\(504\) −8.98934e42 3.93428e42i −0.518608 0.226974i
\(505\) 5.62416e43 3.14337
\(506\) 1.02940e43 4.18433e42i 0.557409 0.226578i
\(507\) 1.53860e42i 0.0807230i
\(508\) −1.52489e43 1.56578e43i −0.775210 0.795999i
\(509\) −3.59379e43 −1.77039 −0.885193 0.465224i \(-0.845974\pi\)
−0.885193 + 0.465224i \(0.845974\pi\)
\(510\) 1.54514e43 + 3.80122e43i 0.737639 + 1.81468i
\(511\) 2.34130e43i 1.08324i
\(512\) −2.10745e43 + 7.29307e42i −0.945013 + 0.327033i
\(513\) −1.76841e43 −0.768607
\(514\) 2.21091e43 8.98702e42i 0.931455 0.378622i
\(515\) 3.14881e43i 1.28597i
\(516\) 2.86982e43 2.79487e43i 1.13621 1.10654i
\(517\) 2.83854e42 0.108955
\(518\) −8.70429e42 2.14136e43i −0.323935 0.796918i
\(519\) 5.10030e43i 1.84042i
\(520\) −1.93695e43 + 4.42569e43i −0.677742 + 1.54856i
\(521\) 5.25643e43 1.78356 0.891778 0.452473i \(-0.149458\pi\)
0.891778 + 0.452473i \(0.149458\pi\)
\(522\) −5.30317e42 + 2.15566e42i −0.174505 + 0.0709335i
\(523\) 4.65945e43i 1.48699i −0.668743 0.743494i \(-0.733167\pi\)
0.668743 0.743494i \(-0.266833\pi\)
\(524\) 2.15470e43 + 2.21248e43i 0.666939 + 0.684825i
\(525\) −9.25279e43 −2.77795
\(526\) −1.64191e43 4.03930e43i −0.478166 1.17634i
\(527\) 1.73970e43i 0.491480i
\(528\) 1.04396e42 3.94436e43i 0.0286116 1.08102i
\(529\) 2.12550e43 0.565158
\(530\) 1.72403e43 7.00793e42i 0.444766 0.180791i
\(531\) 3.99784e42i 0.100072i
\(532\) −4.49514e43 + 4.37774e43i −1.09183 + 1.06332i
\(533\) 1.91624e43 0.451664
\(534\) 1.49964e43 + 3.68929e43i 0.343025 + 0.843883i
\(535\) 1.01406e44i 2.25114i
\(536\) −1.60068e43 7.00553e42i −0.344880 0.150940i
\(537\) −2.40041e43 −0.501992
\(538\) 2.74458e43 1.11563e43i 0.557134 0.226466i
\(539\) 4.43570e43i 0.874062i
\(540\) 4.20956e43 + 4.32245e43i 0.805262 + 0.826857i
\(541\) −6.40627e43 −1.18973 −0.594865 0.803825i \(-0.702795\pi\)
−0.594865 + 0.803825i \(0.702795\pi\)
\(542\) 3.49366e43 + 8.59481e43i 0.629929 + 1.54970i
\(543\) 3.80099e43i 0.665426i
\(544\) −2.09212e43 5.56456e43i −0.355635 0.945908i
\(545\) −1.29929e44 −2.14468
\(546\) 9.90500e43 4.02623e43i 1.58771 0.645381i
\(547\) 1.05284e44i 1.63895i 0.573118 + 0.819473i \(0.305734\pi\)
−0.573118 + 0.819473i \(0.694266\pi\)
\(548\) −8.27104e42 + 8.05502e42i −0.125046 + 0.121781i
\(549\) 4.10338e43 0.602537
\(550\) −4.03561e43 9.92809e43i −0.575581 1.41600i
\(551\) 3.66054e43i 0.507130i
\(552\) −2.32833e43 + 5.31995e43i −0.313343 + 0.715949i
\(553\) 8.36266e43 1.09331
\(554\) −2.02677e41 + 8.23852e40i −0.00257424 + 0.00104639i
\(555\) 9.65731e43i 1.19170i
\(556\) −1.07327e44 1.10205e44i −1.28680 1.32131i
\(557\) 6.38377e43 0.743694 0.371847 0.928294i \(-0.378725\pi\)
0.371847 + 0.928294i \(0.378725\pi\)
\(558\) 6.54530e42 + 1.61022e43i 0.0740939 + 0.182280i
\(559\) 1.25727e44i 1.38306i
\(560\) 2.14007e44 + 5.66417e42i 2.28781 + 0.0605519i
\(561\) 1.05184e44 1.09281
\(562\) −1.07923e44 + 4.38691e43i −1.08977 + 0.442974i
\(563\) 5.33900e43i 0.523993i 0.965069 + 0.261997i \(0.0843809\pi\)
−0.965069 + 0.261997i \(0.915619\pi\)
\(564\) −1.06274e43 + 1.03498e43i −0.101382 + 0.0987342i
\(565\) 1.12786e44 1.04587
\(566\) 4.87286e43 + 1.19878e44i 0.439260 + 1.08063i
\(567\) 1.98135e44i 1.73633i
\(568\) −1.15496e44 5.05481e43i −0.983998 0.430657i
\(569\) −1.24668e43 −0.103267 −0.0516333 0.998666i \(-0.516443\pi\)
−0.0516333 + 0.998666i \(0.516443\pi\)
\(570\) −2.42853e44 + 9.87158e43i −1.95589 + 0.795040i
\(571\) 4.73606e43i 0.370885i 0.982655 + 0.185443i \(0.0593719\pi\)
−0.982655 + 0.185443i \(0.940628\pi\)
\(572\) 8.64015e43 + 8.87186e43i 0.657938 + 0.675582i
\(573\) −1.87869e44 −1.39117
\(574\) −3.19766e43 7.86663e43i −0.230273 0.566498i
\(575\) 1.57727e44i 1.10464i
\(576\) 4.02997e43 + 4.36328e43i 0.274500 + 0.297203i
\(577\) 1.91505e44 1.26872 0.634361 0.773037i \(-0.281263\pi\)
0.634361 + 0.773037i \(0.281263\pi\)
\(578\) 3.05030e42 1.23990e42i 0.0196561 0.00798989i
\(579\) 4.16934e43i 0.261343i
\(580\) 8.94733e43 8.71365e43i 0.545564 0.531315i
\(581\) −1.01251e44 −0.600595
\(582\) −1.13647e44 2.79585e44i −0.655828 1.61341i
\(583\) 4.77061e43i 0.267841i
\(584\) 5.68215e43 1.29830e44i 0.310390 0.709203i
\(585\) 1.28669e44 0.683881
\(586\) −1.31016e44 + 5.32559e43i −0.677582 + 0.275427i
\(587\) 3.61550e44i 1.81953i −0.415125 0.909764i \(-0.636262\pi\)
0.415125 0.909764i \(-0.363738\pi\)
\(588\) −1.61734e44 1.66071e44i −0.792069 0.813310i
\(589\) 1.11146e44 0.529725
\(590\) −3.28443e43 8.08008e43i −0.152345 0.374786i
\(591\) 1.69029e44i 0.763063i
\(592\) −3.70191e42 + 1.39868e44i −0.0162659 + 0.614568i
\(593\) −3.22195e44 −1.37798 −0.688992 0.724769i \(-0.741947\pi\)
−0.688992 + 0.724769i \(0.741947\pi\)
\(594\) 1.43282e44 5.82419e43i 0.596498 0.242467i
\(595\) 5.70693e44i 2.31276i
\(596\) −2.63721e44 + 2.56834e44i −1.04041 + 1.01324i
\(597\) −3.42848e44 −1.31678
\(598\) −6.86327e43 1.68845e44i −0.256633 0.631347i
\(599\) 1.11435e44i 0.405688i 0.979211 + 0.202844i \(0.0650185\pi\)
−0.979211 + 0.202844i \(0.934982\pi\)
\(600\) 5.13087e44 + 2.24558e44i 1.81874 + 0.795991i
\(601\) 1.21014e44 0.417679 0.208839 0.977950i \(-0.433031\pi\)
0.208839 + 0.977950i \(0.433031\pi\)
\(602\) 5.16140e44 2.09803e44i 1.73470 0.705127i
\(603\) 4.65369e43i 0.152307i
\(604\) 2.14932e44 + 2.20696e44i 0.685032 + 0.703403i
\(605\) 8.82179e43 0.273824
\(606\) 2.83723e44 + 6.97991e44i 0.857693 + 2.11003i
\(607\) 3.55121e44i 1.04558i −0.852462 0.522790i \(-0.824891\pi\)
0.852462 0.522790i \(-0.175109\pi\)
\(608\) 3.55509e44 1.33662e44i 1.01952 0.383309i
\(609\) −2.76415e44 −0.772120
\(610\) −8.29339e44 + 3.37113e44i −2.25660 + 0.917273i
\(611\) 4.65587e43i 0.123407i
\(612\) −1.13432e44 + 1.10469e44i −0.292895 + 0.285246i
\(613\) 1.29016e44 0.324546 0.162273 0.986746i \(-0.448118\pi\)
0.162273 + 0.986746i \(0.448118\pi\)
\(614\) 1.04011e44 + 2.55880e44i 0.254909 + 0.627107i
\(615\) 3.54777e44i 0.847137i
\(616\) 2.20031e44 5.02744e44i 0.511909 1.16965i
\(617\) 3.97498e44 0.901099 0.450550 0.892751i \(-0.351228\pi\)
0.450550 + 0.892751i \(0.351228\pi\)
\(618\) 3.90785e44 1.58848e44i 0.863222 0.350886i
\(619\) 4.19604e44i 0.903212i −0.892218 0.451606i \(-0.850851\pi\)
0.892218 0.451606i \(-0.149149\pi\)
\(620\) −2.64576e44 2.71671e44i −0.554987 0.569871i
\(621\) −2.27631e44 −0.465335
\(622\) 1.98909e43 + 4.89339e43i 0.0396285 + 0.0974908i
\(623\) 5.53888e44i 1.07551i
\(624\) −6.46967e44 1.71234e43i −1.22442 0.0324069i
\(625\) 7.10064e43 0.130984
\(626\) 5.96248e43 2.42365e43i 0.107211 0.0435794i
\(627\) 6.72003e44i 1.17785i
\(628\) −6.01590e42 + 5.85878e42i −0.0102789 + 0.0100104i
\(629\) −3.72985e44 −0.621271
\(630\) −2.14712e44 5.28217e44i −0.348664 0.857755i
\(631\) 4.07277e44i 0.644792i 0.946605 + 0.322396i \(0.104488\pi\)
−0.946605 + 0.322396i \(0.895512\pi\)
\(632\) −4.63727e44 2.02955e44i −0.715796 0.313276i
\(633\) −1.28678e45 −1.93662
\(634\) 5.99650e44 2.43748e44i 0.879973 0.357695i
\(635\) 1.27002e45i 1.81732i
\(636\) 1.73945e44 + 1.78610e44i 0.242716 + 0.249225i
\(637\) 7.27558e44 0.990004
\(638\) −1.20559e44 2.96589e44i −0.159981 0.393572i
\(639\) 3.35785e44i 0.434558i
\(640\) −1.17297e45 5.50787e44i −1.48049 0.695191i
\(641\) 2.63607e44 0.324510 0.162255 0.986749i \(-0.448123\pi\)
0.162255 + 0.986749i \(0.448123\pi\)
\(642\) 1.25851e45 5.11563e44i 1.51111 0.614241i
\(643\) 5.14623e44i 0.602717i −0.953511 0.301359i \(-0.902560\pi\)
0.953511 0.301359i \(-0.0974401\pi\)
\(644\) −5.78618e44 + 5.63507e44i −0.661026 + 0.643762i
\(645\) 2.32774e45 2.59405
\(646\) 3.81260e44 + 9.37946e44i 0.414478 + 1.01967i
\(647\) 5.16937e44i 0.548238i 0.961696 + 0.274119i \(0.0883862\pi\)
−0.961696 + 0.274119i \(0.911614\pi\)
\(648\) −4.80857e44 + 1.09870e45i −0.497526 + 1.13679i
\(649\) −2.23586e44 −0.225699
\(650\) −1.62844e45 + 6.61934e44i −1.60383 + 0.651930i
\(651\) 8.39290e44i 0.806522i
\(652\) −2.41842e44 2.48328e44i −0.226762 0.232843i
\(653\) 1.24102e45 1.13545 0.567723 0.823220i \(-0.307825\pi\)
0.567723 + 0.823220i \(0.307825\pi\)
\(654\) −6.55454e44 1.61250e45i −0.585192 1.43964i
\(655\) 1.79456e45i 1.56350i
\(656\) −1.35996e43 + 5.13826e44i −0.0115628 + 0.436873i
\(657\) −3.77459e44 −0.313201
\(658\) −1.91134e44 + 7.76931e43i −0.154783 + 0.0629170i
\(659\) 2.03659e45i 1.60967i −0.593499 0.804835i \(-0.702254\pi\)
0.593499 0.804835i \(-0.297746\pi\)
\(660\) 1.64255e45 1.59965e45i 1.26712 1.23402i
\(661\) 7.03489e44 0.529705 0.264852 0.964289i \(-0.414677\pi\)
0.264852 + 0.964289i \(0.414677\pi\)
\(662\) 5.58822e44 + 1.37477e45i 0.410720 + 1.01042i
\(663\) 1.72527e45i 1.23777i
\(664\) 5.61459e44 + 2.45728e44i 0.393214 + 0.172094i
\(665\) −3.64604e45 −2.49273
\(666\) 3.45224e44 1.40328e44i 0.230417 0.0936607i
\(667\) 4.71188e44i 0.307030i
\(668\) 2.05313e43 + 2.10819e43i 0.0130615 + 0.0134117i
\(669\) 1.82353e45 1.13265
\(670\) −3.82325e44 9.40564e44i −0.231865 0.570416i
\(671\) 2.29488e45i 1.35894i
\(672\) 1.00931e45 + 2.68453e45i 0.583599 + 1.55224i
\(673\) 5.51542e44 0.311413 0.155707 0.987803i \(-0.450235\pi\)
0.155707 + 0.987803i \(0.450235\pi\)
\(674\) 1.72236e45 7.00111e44i 0.949652 0.386019i
\(675\) 2.19541e45i 1.18210i
\(676\) 9.27957e43 9.03722e43i 0.0487956 0.0475212i
\(677\) −3.04089e45 −1.56165 −0.780823 0.624753i \(-0.785200\pi\)
−0.780823 + 0.624753i \(0.785200\pi\)
\(678\) 5.68972e44 + 1.39974e45i 0.285375 + 0.702056i
\(679\) 4.19752e45i 2.05625i
\(680\) 1.38503e45 3.16461e45i 0.662697 1.51418i
\(681\) −1.09497e45 −0.511739
\(682\) −9.00544e44 + 3.66057e44i −0.411107 + 0.167109i
\(683\) 1.65046e45i 0.735993i −0.929827 0.367996i \(-0.880044\pi\)
0.929827 0.367996i \(-0.119956\pi\)
\(684\) −7.05768e44 7.24694e44i −0.307443 0.315687i
\(685\) −6.70871e44 −0.285489
\(686\) 5.33357e43 + 1.31212e44i 0.0221734 + 0.0545492i
\(687\) 3.48934e45i 1.41722i
\(688\) −3.37128e45 8.92284e43i −1.33777 0.0354069i
\(689\) −7.82491e44 −0.303369
\(690\) −3.12602e45 + 1.27068e45i −1.18415 + 0.481338i
\(691\) 1.42722e45i 0.528252i 0.964488 + 0.264126i \(0.0850834\pi\)
−0.964488 + 0.264126i \(0.914917\pi\)
\(692\) 3.07609e45 2.99575e45i 1.11250 1.08345i
\(693\) −1.46164e45 −0.516546
\(694\) 8.39996e44 + 2.06649e45i 0.290085 + 0.713645i
\(695\) 8.93882e45i 3.01664i
\(696\) 1.53278e45 + 6.70837e44i 0.505513 + 0.221243i
\(697\) −1.37022e45 −0.441638
\(698\) −3.17014e45 + 1.28861e45i −0.998599 + 0.405915i
\(699\) 3.04797e45i 0.938374i
\(700\) 5.43479e45 + 5.58054e45i 1.63536 + 1.67922i
\(701\) 5.21518e45 1.53384 0.766922 0.641741i \(-0.221787\pi\)
0.766922 + 0.641741i \(0.221787\pi\)
\(702\) −9.55302e44 2.35016e45i −0.274629 0.675621i
\(703\) 2.38293e45i 0.669616i
\(704\) −2.44024e45 + 2.25383e45i −0.670301 + 0.619096i
\(705\) −8.61996e44 −0.231462
\(706\) 5.30338e45 2.15574e45i 1.39212 0.565876i
\(707\) 1.04792e46i 2.68917i
\(708\) 8.37096e44 8.15233e44i 0.210011 0.204527i
\(709\) −9.80217e44 −0.240426 −0.120213 0.992748i \(-0.538358\pi\)
−0.120213 + 0.992748i \(0.538358\pi\)
\(710\) −2.75864e45 6.78659e45i −0.661549 1.62749i
\(711\) 1.34821e45i 0.316113i
\(712\) 1.34424e45 3.07143e45i 0.308175 0.704142i
\(713\) 1.43069e45 0.320710
\(714\) −7.08263e45 + 2.87898e45i −1.55247 + 0.631054i
\(715\) 7.19604e45i 1.54240i
\(716\) 1.40992e45 + 1.44773e45i 0.295520 + 0.303445i
\(717\) 7.59352e45 1.55646
\(718\) −4.46320e43 1.09800e44i −0.00894654 0.0220095i
\(719\) 8.51901e45i 1.67004i 0.550220 + 0.835020i \(0.314544\pi\)
−0.550220 + 0.835020i \(0.685456\pi\)
\(720\) −9.13162e43 + 3.45016e45i −0.0175077 + 0.661485i
\(721\) 5.86702e45 1.10015
\(722\) −9.41217e44 + 3.82590e44i −0.172621 + 0.0701679i
\(723\) 6.13129e45i 1.09986i
\(724\) −2.29245e45 + 2.23258e45i −0.402238 + 0.391733i
\(725\) 4.54442e45 0.779956
\(726\) 4.45034e44 + 1.09484e45i 0.0747148 + 0.183807i
\(727\) 4.72807e45i 0.776486i 0.921557 + 0.388243i \(0.126918\pi\)
−0.921557 + 0.388243i \(0.873082\pi\)
\(728\) −8.24617e45 3.60902e45i −1.32480 0.579812i
\(729\) −2.12696e45 −0.334287
\(730\) 7.62887e45 3.10102e45i 1.17299 0.476802i
\(731\) 8.99020e45i 1.35236i
\(732\) −8.36755e45 8.59194e45i −1.23146 1.26449i
\(733\) −1.17970e46 −1.69866 −0.849330 0.527862i \(-0.822994\pi\)
−0.849330 + 0.527862i \(0.822994\pi\)
\(734\) 1.05600e45 + 2.59789e45i 0.148774 + 0.366002i
\(735\) 1.34701e46i 1.85684i
\(736\) 4.57615e45 1.72051e45i 0.617242 0.232066i
\(737\) −2.60266e45 −0.343508
\(738\) 1.26824e45 5.15519e44i 0.163794 0.0665798i
\(739\) 4.15446e45i 0.525054i −0.964925 0.262527i \(-0.915444\pi\)
0.964925 0.262527i \(-0.0845559\pi\)
\(740\) −5.82451e45 + 5.67239e45i −0.720364 + 0.701550i
\(741\) 1.10224e46 1.33409
\(742\) 1.30575e45 + 3.21231e45i 0.154667 + 0.380500i
\(743\) 3.14116e45i 0.364141i 0.983285 + 0.182070i \(0.0582799\pi\)
−0.983285 + 0.182070i \(0.941720\pi\)
\(744\) 2.03689e45 4.65404e45i 0.231100 0.528036i
\(745\) −2.13907e46 −2.37533
\(746\) 1.48201e45 6.02414e44i 0.161076 0.0654748i
\(747\) 1.63234e45i 0.173653i
\(748\) −6.17819e45 6.34387e45i −0.643333 0.660585i
\(749\) 1.88945e46 1.92586
\(750\) 4.93932e45 + 1.21513e46i 0.492818 + 1.21239i
\(751\) 6.57015e44i 0.0641707i 0.999485 + 0.0320853i \(0.0102148\pi\)
−0.999485 + 0.0320853i \(0.989785\pi\)
\(752\) 1.24844e45 + 3.30426e43i 0.119366 + 0.00315929i
\(753\) −1.14740e46 −1.07398
\(754\) −4.86474e45 + 1.97744e45i −0.445778 + 0.181202i