Properties

Label 5.33.c.a.2.12
Level $5$
Weight $33$
Character 5.2
Analytic conductor $32.433$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 5 \)
Weight: \( k \) \(=\) \( 33 \)
Character orbit: \([\chi]\) \(=\) 5.c (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(32.4333275711\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(15\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 2.12
Character \(\chi\) \(=\) 5.2
Dual form 5.33.c.a.3.12

$q$-expansion

\(f(q)\) \(=\) \(q+(61735.6 + 61735.6i) q^{2} +(-5.69775e7 + 5.69775e7i) q^{3} +3.32760e9i q^{4} +(7.47335e10 + 1.33034e11i) q^{5} -7.03508e12 q^{6} +(-1.03601e13 - 1.03601e13i) q^{7} +(5.97211e13 - 5.97211e13i) q^{8} -4.63985e15i q^{9} +O(q^{10})\) \(q+(61735.6 + 61735.6i) q^{2} +(-5.69775e7 + 5.69775e7i) q^{3} +3.32760e9i q^{4} +(7.47335e10 + 1.33034e11i) q^{5} -7.03508e12 q^{6} +(-1.03601e13 - 1.03601e13i) q^{7} +(5.97211e13 - 5.97211e13i) q^{8} -4.63985e15i q^{9} +(-3.59920e15 + 1.28266e16i) q^{10} -8.55661e16 q^{11} +(-1.89598e17 - 1.89598e17i) q^{12} +(-2.19299e16 + 2.19299e16i) q^{13} -1.27917e18i q^{14} +(-1.18381e19 - 3.32180e18i) q^{15} +2.16658e19 q^{16} +(9.87369e18 + 9.87369e18i) q^{17} +(2.86444e20 - 2.86444e20i) q^{18} -1.02268e20i q^{19} +(-4.42683e20 + 2.48683e20i) q^{20} +1.18058e21 q^{21} +(-5.28247e21 - 5.28247e21i) q^{22} +(3.76150e21 - 3.76150e21i) q^{23} +6.80552e21i q^{24} +(-1.21129e22 + 1.98842e22i) q^{25} -2.70771e21 q^{26} +(1.58786e23 + 1.58786e23i) q^{27} +(3.44743e22 - 3.44743e22i) q^{28} +1.14249e23i q^{29} +(-5.25756e23 - 9.35902e23i) q^{30} -8.94834e23 q^{31} +(1.08105e24 + 1.08105e24i) q^{32} +(4.87534e24 - 4.87534e24i) q^{33} +1.21912e24i q^{34} +(6.03996e23 - 2.15249e24i) q^{35} +1.54395e25 q^{36} +(-2.29758e24 - 2.29758e24i) q^{37} +(6.31357e24 - 6.31357e24i) q^{38} -2.49902e24i q^{39} +(1.24081e25 + 3.48175e24i) q^{40} -1.78531e25 q^{41} +(7.28841e25 + 7.28841e25i) q^{42} +(-4.64984e25 + 4.64984e25i) q^{43} -2.84730e26i q^{44} +(6.17256e26 - 3.46752e26i) q^{45} +4.64437e26 q^{46} +(-2.49694e26 - 2.49694e26i) q^{47} +(-1.23446e27 + 1.23446e27i) q^{48} -8.89764e26i q^{49} +(-1.97535e27 + 4.79765e26i) q^{50} -1.12516e27 q^{51} +(-7.29739e25 - 7.29739e25i) q^{52} +(-7.86695e25 + 7.86695e25i) q^{53} +1.96055e28i q^{54} +(-6.39466e27 - 1.13832e28i) q^{55} -1.23743e27 q^{56} +(5.82697e27 + 5.82697e27i) q^{57} +(-7.05322e27 + 7.05322e27i) q^{58} -1.58816e28i q^{59} +(1.10536e28 - 3.93923e28i) q^{60} +2.93362e28 q^{61} +(-5.52431e28 - 5.52431e28i) q^{62} +(-4.80693e28 + 4.80693e28i) q^{63} +4.04246e28i q^{64} +(-4.55632e27 - 1.27852e27i) q^{65} +6.01964e29 q^{66} +(-1.50191e29 - 1.50191e29i) q^{67} +(-3.28557e28 + 3.28557e28i) q^{68} +4.28642e29i q^{69} +(1.70173e29 - 9.55972e28i) q^{70} -4.66076e29 q^{71} +(-2.77097e29 - 2.77097e29i) q^{72} +(-7.79180e27 + 7.79180e27i) q^{73} -2.83685e29i q^{74} +(-4.42788e29 - 1.82311e30i) q^{75} +3.40307e29 q^{76} +(8.86473e29 + 8.86473e29i) q^{77} +(1.54279e29 - 1.54279e29i) q^{78} +4.15998e30i q^{79} +(1.61916e30 + 2.88228e30i) q^{80} -9.49677e30 q^{81} +(-1.10217e30 - 1.10217e30i) q^{82} +(3.04621e30 - 3.04621e30i) q^{83} +3.92851e30i q^{84} +(-5.75638e29 + 2.05143e30i) q^{85} -5.74121e30 q^{86} +(-6.50961e30 - 6.50961e30i) q^{87} +(-5.11010e30 + 5.11010e30i) q^{88} -2.29726e31i q^{89} +(5.95136e31 + 1.66997e31i) q^{90} +4.54392e29 q^{91} +(1.25168e31 + 1.25168e31i) q^{92} +(5.09854e31 - 5.09854e31i) q^{93} -3.08300e31i q^{94} +(1.36051e31 - 7.64284e30i) q^{95} -1.23191e32 q^{96} +(-5.10741e31 - 5.10741e31i) q^{97} +(5.49301e31 - 5.49301e31i) q^{98} +3.97014e32i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q - 2q^{2} - 2792232q^{3} + 229266409900q^{5} - 645476451240q^{6} + 21807690136848q^{7} + 340768936037220q^{8} + O(q^{10}) \) \( 30q - 2q^{2} - 2792232q^{3} + 229266409900q^{5} - 645476451240q^{6} + 21807690136848q^{7} + 340768936037220q^{8} - 17555754485145450q^{10} - 60908362837533640q^{11} + 444566273630869608q^{12} + 649759187023107138q^{13} + 6285624407445962400q^{15} - 46108906958970522120q^{16} - \)\(21\!\cdots\!02\)\(q^{17} + \)\(24\!\cdots\!58\)\(q^{18} - \)\(30\!\cdots\!00\)\(q^{20} + \)\(45\!\cdots\!60\)\(q^{21} - \)\(11\!\cdots\!44\)\(q^{22} + \)\(13\!\cdots\!08\)\(q^{23} + \)\(35\!\cdots\!50\)\(q^{25} - \)\(23\!\cdots\!40\)\(q^{26} + \)\(17\!\cdots\!60\)\(q^{27} + \)\(59\!\cdots\!12\)\(q^{28} + \)\(12\!\cdots\!00\)\(q^{30} - \)\(12\!\cdots\!40\)\(q^{31} + \)\(31\!\cdots\!68\)\(q^{32} - \)\(16\!\cdots\!04\)\(q^{33} - \)\(81\!\cdots\!00\)\(q^{35} + \)\(31\!\cdots\!80\)\(q^{36} - \)\(12\!\cdots\!02\)\(q^{37} + \)\(57\!\cdots\!80\)\(q^{38} + \)\(21\!\cdots\!00\)\(q^{40} - \)\(15\!\cdots\!40\)\(q^{41} + \)\(79\!\cdots\!36\)\(q^{42} - \)\(54\!\cdots\!52\)\(q^{43} + \)\(10\!\cdots\!50\)\(q^{45} - \)\(34\!\cdots\!40\)\(q^{46} + \)\(27\!\cdots\!48\)\(q^{47} - \)\(31\!\cdots\!92\)\(q^{48} + \)\(44\!\cdots\!50\)\(q^{50} - \)\(61\!\cdots\!40\)\(q^{51} + \)\(60\!\cdots\!28\)\(q^{52} - \)\(11\!\cdots\!82\)\(q^{53} - \)\(71\!\cdots\!00\)\(q^{55} - \)\(47\!\cdots\!00\)\(q^{56} + \)\(44\!\cdots\!20\)\(q^{57} - \)\(29\!\cdots\!80\)\(q^{58} + \)\(34\!\cdots\!00\)\(q^{60} + \)\(50\!\cdots\!60\)\(q^{61} - \)\(21\!\cdots\!24\)\(q^{62} + \)\(21\!\cdots\!08\)\(q^{63} - \)\(34\!\cdots\!50\)\(q^{65} + \)\(13\!\cdots\!20\)\(q^{66} - \)\(73\!\cdots\!52\)\(q^{67} + \)\(10\!\cdots\!12\)\(q^{68} - \)\(36\!\cdots\!00\)\(q^{70} + \)\(81\!\cdots\!60\)\(q^{71} - \)\(95\!\cdots\!20\)\(q^{72} - \)\(37\!\cdots\!42\)\(q^{73} + \)\(10\!\cdots\!00\)\(q^{75} - \)\(66\!\cdots\!00\)\(q^{76} + \)\(63\!\cdots\!56\)\(q^{77} - \)\(91\!\cdots\!84\)\(q^{78} + \)\(58\!\cdots\!00\)\(q^{80} - \)\(14\!\cdots\!70\)\(q^{81} + \)\(27\!\cdots\!36\)\(q^{82} + \)\(49\!\cdots\!28\)\(q^{83} - \)\(44\!\cdots\!50\)\(q^{85} + \)\(16\!\cdots\!60\)\(q^{86} + \)\(36\!\cdots\!80\)\(q^{87} - \)\(47\!\cdots\!60\)\(q^{88} + \)\(81\!\cdots\!50\)\(q^{90} - \)\(10\!\cdots\!40\)\(q^{91} - \)\(18\!\cdots\!52\)\(q^{92} + \)\(11\!\cdots\!16\)\(q^{93} - \)\(10\!\cdots\!00\)\(q^{95} + \)\(38\!\cdots\!60\)\(q^{96} - \)\(15\!\cdots\!02\)\(q^{97} + \)\(12\!\cdots\!02\)\(q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/5\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 61735.6 + 61735.6i 0.942010 + 0.942010i 0.998408 0.0563981i \(-0.0179616\pi\)
−0.0563981 + 0.998408i \(0.517962\pi\)
\(3\) −5.69775e7 + 5.69775e7i −1.32362 + 1.32362i −0.412796 + 0.910823i \(0.635448\pi\)
−0.910823 + 0.412796i \(0.864552\pi\)
\(4\) 3.32760e9i 0.774767i
\(5\) 7.47335e10 + 1.33034e11i 0.489774 + 0.871850i
\(6\) −7.03508e12 −2.49373
\(7\) −1.03601e13 1.03601e13i −0.311742 0.311742i 0.533842 0.845584i \(-0.320748\pi\)
−0.845584 + 0.533842i \(0.820748\pi\)
\(8\) 5.97211e13 5.97211e13i 0.212172 0.212172i
\(9\) 4.63985e15i 2.50394i
\(10\) −3.59920e15 + 1.28266e16i −0.359920 + 1.28266i
\(11\) −8.55661e16 −1.86217 −0.931084 0.364806i \(-0.881135\pi\)
−0.931084 + 0.364806i \(0.881135\pi\)
\(12\) −1.89598e17 1.89598e17i −1.02550 1.02550i
\(13\) −2.19299e16 + 2.19299e16i −0.0329567 + 0.0329567i −0.723393 0.690436i \(-0.757419\pi\)
0.690436 + 0.723393i \(0.257419\pi\)
\(14\) 1.27917e18i 0.587328i
\(15\) −1.18381e19 3.32180e18i −1.80227 0.505723i
\(16\) 2.16658e19 1.17450
\(17\) 9.87369e18 + 9.87369e18i 0.202907 + 0.202907i 0.801244 0.598337i \(-0.204172\pi\)
−0.598337 + 0.801244i \(0.704172\pi\)
\(18\) 2.86444e20 2.86444e20i 2.35874 2.35874i
\(19\) 1.02268e20i 0.354554i −0.984161 0.177277i \(-0.943271\pi\)
0.984161 0.177277i \(-0.0567288\pi\)
\(20\) −4.42683e20 + 2.48683e20i −0.675480 + 0.379460i
\(21\) 1.18058e21 0.825256
\(22\) −5.28247e21 5.28247e21i −1.75418 1.75418i
\(23\) 3.76150e21 3.76150e21i 0.613360 0.613360i −0.330460 0.943820i \(-0.607204\pi\)
0.943820 + 0.330460i \(0.107204\pi\)
\(24\) 6.80552e21i 0.561670i
\(25\) −1.21129e22 + 1.98842e22i −0.520244 + 0.854018i
\(26\) −2.70771e21 −0.0620910
\(27\) 1.58786e23 + 1.58786e23i 1.99064 + 1.99064i
\(28\) 3.44743e22 3.44743e22i 0.241527 0.241527i
\(29\) 1.14249e23i 0.456545i 0.973597 + 0.228273i \(0.0733078\pi\)
−0.973597 + 0.228273i \(0.926692\pi\)
\(30\) −5.25756e23 9.35902e23i −1.22136 2.17415i
\(31\) −8.94834e23 −1.23014 −0.615071 0.788472i \(-0.710873\pi\)
−0.615071 + 0.788472i \(0.710873\pi\)
\(32\) 1.08105e24 + 1.08105e24i 0.894222 + 0.894222i
\(33\) 4.87534e24 4.87534e24i 2.46480 2.46480i
\(34\) 1.21912e24i 0.382281i
\(35\) 6.03996e23 2.15249e24i 0.119109 0.424475i
\(36\) 1.54395e25 1.93997
\(37\) −2.29758e24 2.29758e24i −0.186227 0.186227i 0.607836 0.794063i \(-0.292038\pi\)
−0.794063 + 0.607836i \(0.792038\pi\)
\(38\) 6.31357e24 6.31357e24i 0.333993 0.333993i
\(39\) 2.49902e24i 0.0872441i
\(40\) 1.24081e25 + 3.48175e24i 0.288898 + 0.0810658i
\(41\) −1.78531e25 −0.280009 −0.140004 0.990151i \(-0.544712\pi\)
−0.140004 + 0.990151i \(0.544712\pi\)
\(42\) 7.28841e25 + 7.28841e25i 0.777399 + 0.777399i
\(43\) −4.64984e25 + 4.64984e25i −0.340363 + 0.340363i −0.856504 0.516140i \(-0.827368\pi\)
0.516140 + 0.856504i \(0.327368\pi\)
\(44\) 2.84730e26i 1.44275i
\(45\) 6.17256e26 3.46752e26i 2.18306 1.22636i
\(46\) 4.64437e26 1.15558
\(47\) −2.49694e26 2.49694e26i −0.440394 0.440394i 0.451750 0.892144i \(-0.350800\pi\)
−0.892144 + 0.451750i \(0.850800\pi\)
\(48\) −1.23446e27 + 1.23446e27i −1.55460 + 1.55460i
\(49\) 8.89764e26i 0.805634i
\(50\) −1.97535e27 + 4.79765e26i −1.29457 + 0.314419i
\(51\) −1.12516e27 −0.537143
\(52\) −7.29739e25 7.29739e25i −0.0255337 0.0255337i
\(53\) −7.86695e25 + 7.86695e25i −0.0202952 + 0.0202952i −0.717182 0.696886i \(-0.754568\pi\)
0.696886 + 0.717182i \(0.254568\pi\)
\(54\) 1.96055e28i 3.75041i
\(55\) −6.39466e27 1.13832e28i −0.912040 1.62353i
\(56\) −1.23743e27 −0.132286
\(57\) 5.82697e27 + 5.82697e27i 0.469294 + 0.469294i
\(58\) −7.05322e27 + 7.05322e27i −0.430070 + 0.430070i
\(59\) 1.58816e28i 0.736653i −0.929697 0.368326i \(-0.879931\pi\)
0.929697 0.368326i \(-0.120069\pi\)
\(60\) 1.10536e28 3.93923e28i 0.391818 1.39634i
\(61\) 2.93362e28 0.798226 0.399113 0.916902i \(-0.369318\pi\)
0.399113 + 0.916902i \(0.369318\pi\)
\(62\) −5.52431e28 5.52431e28i −1.15881 1.15881i
\(63\) −4.80693e28 + 4.80693e28i −0.780583 + 0.780583i
\(64\) 4.04246e28i 0.510230i
\(65\) −4.55632e27 1.27852e27i −0.0448745 0.0125919i
\(66\) 6.01964e29 4.64374
\(67\) −1.50191e29 1.50191e29i −0.910849 0.910849i 0.0854901 0.996339i \(-0.472754\pi\)
−0.996339 + 0.0854901i \(0.972754\pi\)
\(68\) −3.28557e28 + 3.28557e28i −0.157206 + 0.157206i
\(69\) 4.28642e29i 1.62371i
\(70\) 1.70173e29 9.55972e28i 0.512062 0.287658i
\(71\) −4.66076e29 −1.11769 −0.558847 0.829271i \(-0.688756\pi\)
−0.558847 + 0.829271i \(0.688756\pi\)
\(72\) −2.77097e29 2.77097e29i −0.531265 0.531265i
\(73\) −7.79180e27 + 7.79180e27i −0.0119804 + 0.0119804i −0.713072 0.701091i \(-0.752697\pi\)
0.701091 + 0.713072i \(0.252697\pi\)
\(74\) 2.83685e29i 0.350855i
\(75\) −4.42788e29 1.82311e30i −0.441790 1.81900i
\(76\) 3.40307e29 0.274696
\(77\) 8.86473e29 + 8.86473e29i 0.580516 + 0.580516i
\(78\) 1.54279e29 1.54279e29i 0.0821849 0.0821849i
\(79\) 4.15998e30i 1.80741i 0.428151 + 0.903707i \(0.359165\pi\)
−0.428151 + 0.903707i \(0.640835\pi\)
\(80\) 1.61916e30 + 2.88228e30i 0.575241 + 1.02399i
\(81\) −9.49677e30 −2.76577
\(82\) −1.10217e30 1.10217e30i −0.263771 0.263771i
\(83\) 3.04621e30 3.04621e30i 0.600495 0.600495i −0.339949 0.940444i \(-0.610410\pi\)
0.940444 + 0.339949i \(0.110410\pi\)
\(84\) 3.92851e30i 0.639381i
\(85\) −5.75638e29 + 2.05143e30i −0.0775259 + 0.276283i
\(86\) −5.74121e30 −0.641252
\(87\) −6.50961e30 6.50961e30i −0.604292 0.604292i
\(88\) −5.11010e30 + 5.11010e30i −0.395100 + 0.395100i
\(89\) 2.29726e31i 1.48241i −0.671277 0.741207i \(-0.734254\pi\)
0.671277 0.741207i \(-0.265746\pi\)
\(90\) 5.95136e31 + 1.66997e31i 3.21171 + 0.901216i
\(91\) 4.54392e29 0.0205479
\(92\) 1.25168e31 + 1.25168e31i 0.475211 + 0.475211i
\(93\) 5.09854e31 5.09854e31i 1.62824 1.62824i
\(94\) 3.08300e31i 0.829712i
\(95\) 1.36051e31 7.64284e30i 0.309117 0.173651i
\(96\) −1.23191e32 −2.36722
\(97\) −5.10741e31 5.10741e31i −0.831482 0.831482i 0.156237 0.987720i \(-0.450064\pi\)
−0.987720 + 0.156237i \(0.950064\pi\)
\(98\) 5.49301e31 5.49301e31i 0.758915 0.758915i
\(99\) 3.97014e32i 4.66275i
\(100\) −6.61665e31 4.03068e31i −0.661665 0.403068i
\(101\) 6.91754e31 0.589943 0.294971 0.955506i \(-0.404690\pi\)
0.294971 + 0.955506i \(0.404690\pi\)
\(102\) −6.94622e31 6.94622e31i −0.505994 0.505994i
\(103\) 8.39908e31 8.39908e31i 0.523403 0.523403i −0.395195 0.918597i \(-0.629323\pi\)
0.918597 + 0.395195i \(0.129323\pi\)
\(104\) 2.61936e30i 0.0139850i
\(105\) 8.82293e31 + 1.57058e32i 0.404188 + 0.719499i
\(106\) −9.71341e30 −0.0382365
\(107\) −2.15784e32 2.15784e32i −0.730934 0.730934i 0.239871 0.970805i \(-0.422895\pi\)
−0.970805 + 0.239871i \(0.922895\pi\)
\(108\) −5.28377e32 + 5.28377e32i −1.54228 + 1.54228i
\(109\) 6.55094e31i 0.164998i −0.996591 0.0824991i \(-0.973710\pi\)
0.996591 0.0824991i \(-0.0262902\pi\)
\(110\) 3.07969e32 1.09752e33i 0.670231 2.38853i
\(111\) 2.61820e32 0.492987
\(112\) −2.24459e32 2.24459e32i −0.366142 0.366142i
\(113\) −7.35282e32 + 7.35282e32i −1.04040 + 1.04040i −0.0412468 + 0.999149i \(0.513133\pi\)
−0.999149 + 0.0412468i \(0.986867\pi\)
\(114\) 7.19463e32i 0.884160i
\(115\) 7.81516e32 + 2.19296e32i 0.835166 + 0.234350i
\(116\) −3.80174e32 −0.353716
\(117\) 1.01751e32 + 1.01751e32i 0.0825214 + 0.0825214i
\(118\) 9.80462e32 9.80462e32i 0.693935 0.693935i
\(119\) 2.04585e32i 0.126509i
\(120\) −9.05363e32 + 5.08600e32i −0.489692 + 0.275091i
\(121\) 5.21018e33 2.46767
\(122\) 1.81109e33 + 1.81109e33i 0.751937 + 0.751937i
\(123\) 1.01722e33 1.01722e33i 0.370625 0.370625i
\(124\) 2.97765e33i 0.953073i
\(125\) −3.55050e33 1.25407e32i −0.999377 0.0352988i
\(126\) −5.93517e33 −1.47063
\(127\) −2.07759e33 2.07759e33i −0.453629 0.453629i 0.442928 0.896557i \(-0.353940\pi\)
−0.896557 + 0.442928i \(0.853940\pi\)
\(128\) 2.14743e33 2.14743e33i 0.413581 0.413581i
\(129\) 5.29873e33i 0.901023i
\(130\) −2.02357e32 3.60217e32i −0.0304105 0.0541340i
\(131\) −6.33043e33 −0.841575 −0.420787 0.907159i \(-0.638246\pi\)
−0.420787 + 0.907159i \(0.638246\pi\)
\(132\) 1.62232e34 + 1.62232e34i 1.90965 + 1.90965i
\(133\) −1.05951e33 + 1.05951e33i −0.110529 + 0.110529i
\(134\) 1.85442e34i 1.71606i
\(135\) −9.25727e33 + 3.29906e34i −0.760576 + 2.71050i
\(136\) 1.17934e33 0.0861023
\(137\) −1.10531e34 1.10531e34i −0.717723 0.717723i 0.250416 0.968138i \(-0.419433\pi\)
−0.968138 + 0.250416i \(0.919433\pi\)
\(138\) −2.64624e34 + 2.64624e34i −1.52955 + 1.52955i
\(139\) 1.64912e34i 0.849212i 0.905378 + 0.424606i \(0.139587\pi\)
−0.905378 + 0.424606i \(0.860413\pi\)
\(140\) 7.16262e33 + 2.00986e33i 0.328869 + 0.0922818i
\(141\) 2.84538e34 1.16583
\(142\) −2.87735e34 2.87735e34i −1.05288 1.05288i
\(143\) 1.87646e33 1.87646e33i 0.0613708 0.0613708i
\(144\) 1.00526e35i 2.94088i
\(145\) −1.51989e34 + 8.53822e33i −0.398039 + 0.223604i
\(146\) −9.62063e32 −0.0225714
\(147\) 5.06965e34 + 5.06965e34i 1.06635 + 1.06635i
\(148\) 7.64541e33 7.64541e33i 0.144282 0.144282i
\(149\) 8.38777e34i 1.42124i 0.703578 + 0.710618i \(0.251584\pi\)
−0.703578 + 0.710618i \(0.748416\pi\)
\(150\) 8.52149e34 1.39887e35i 1.29735 2.12969i
\(151\) 8.61859e34 1.17979 0.589895 0.807480i \(-0.299169\pi\)
0.589895 + 0.807480i \(0.299169\pi\)
\(152\) −6.10755e33 6.10755e33i −0.0752263 0.0752263i
\(153\) 4.58124e34 4.58124e34i 0.508066 0.508066i
\(154\) 1.09454e35i 1.09370i
\(155\) −6.68741e34 1.19043e35i −0.602491 1.07250i
\(156\) 8.31574e33 0.0675939
\(157\) 7.99304e34 + 7.99304e34i 0.586567 + 0.586567i 0.936700 0.350133i \(-0.113864\pi\)
−0.350133 + 0.936700i \(0.613864\pi\)
\(158\) −2.56819e35 + 2.56819e35i −1.70260 + 1.70260i
\(159\) 8.96478e33i 0.0537261i
\(160\) −6.30253e34 + 2.24606e35i −0.341661 + 1.21759i
\(161\) −7.79390e34 −0.382420
\(162\) −5.86288e35 5.86288e35i −2.60538 2.60538i
\(163\) −7.63676e34 + 7.63676e34i −0.307544 + 0.307544i −0.843956 0.536412i \(-0.819779\pi\)
0.536412 + 0.843956i \(0.319779\pi\)
\(164\) 5.94079e34i 0.216942i
\(165\) 1.01294e36 + 2.84233e35i 3.35613 + 0.941742i
\(166\) 3.76119e35 1.13135
\(167\) −2.94497e35 2.94497e35i −0.804670 0.804670i 0.179152 0.983821i \(-0.442665\pi\)
−0.983821 + 0.179152i \(0.942665\pi\)
\(168\) 7.05058e34 7.05058e34i 0.175096 0.175096i
\(169\) 4.41817e35i 0.997828i
\(170\) −1.62184e35 + 9.11089e34i −0.333291 + 0.187231i
\(171\) −4.74508e35 −0.887780
\(172\) −1.54728e35 1.54728e35i −0.263702 0.263702i
\(173\) −5.38786e35 + 5.38786e35i −0.836909 + 0.836909i −0.988451 0.151542i \(-0.951576\pi\)
0.151542 + 0.988451i \(0.451576\pi\)
\(174\) 8.03749e35i 1.13850i
\(175\) 3.31492e35 8.05113e34i 0.428415 0.104051i
\(176\) −1.85385e36 −2.18712
\(177\) 9.04895e35 + 9.04895e35i 0.975048 + 0.975048i
\(178\) 1.41822e36 1.41822e36i 1.39645 1.39645i
\(179\) 9.32800e35i 0.839730i −0.907586 0.419865i \(-0.862077\pi\)
0.907586 0.419865i \(-0.137923\pi\)
\(180\) 1.15385e36 + 2.05398e36i 0.950145 + 1.69136i
\(181\) 3.47006e35 0.261505 0.130753 0.991415i \(-0.458261\pi\)
0.130753 + 0.991415i \(0.458261\pi\)
\(182\) 2.80522e34 + 2.80522e34i 0.0193564 + 0.0193564i
\(183\) −1.67150e36 + 1.67150e36i −1.05655 + 1.05655i
\(184\) 4.49282e35i 0.260276i
\(185\) 1.33949e35 4.77361e35i 0.0711528 0.253571i
\(186\) 6.29522e36 3.06764
\(187\) −8.44853e35 8.44853e35i −0.377847 0.377847i
\(188\) 8.30880e35 8.30880e35i 0.341203 0.341203i
\(189\) 3.29009e36i 1.24113i
\(190\) 1.31175e36 + 3.68082e35i 0.454773 + 0.127611i
\(191\) −4.24705e36 −1.35380 −0.676899 0.736076i \(-0.736676\pi\)
−0.676899 + 0.736076i \(0.736676\pi\)
\(192\) −2.30329e36 2.30329e36i −0.675350 0.675350i
\(193\) −1.42983e36 + 1.42983e36i −0.385805 + 0.385805i −0.873188 0.487383i \(-0.837951\pi\)
0.487383 + 0.873188i \(0.337951\pi\)
\(194\) 6.30618e36i 1.56653i
\(195\) 3.32454e35 1.86761e35i 0.0760638 0.0427299i
\(196\) 2.96078e36 0.624178
\(197\) −2.95153e35 2.95153e35i −0.0573571 0.0573571i 0.677846 0.735204i \(-0.262913\pi\)
−0.735204 + 0.677846i \(0.762913\pi\)
\(198\) −2.45099e37 + 2.45099e37i −4.39236 + 4.39236i
\(199\) 5.87230e35i 0.0970865i −0.998821 0.0485432i \(-0.984542\pi\)
0.998821 0.0485432i \(-0.0154579\pi\)
\(200\) 4.64110e35 + 1.91090e36i 0.0708175 + 0.291580i
\(201\) 1.71150e37 2.41123
\(202\) 4.27059e36 + 4.27059e36i 0.555732 + 0.555732i
\(203\) 1.18363e36 1.18363e36i 0.142324 0.142324i
\(204\) 3.74407e36i 0.416161i
\(205\) −1.33422e36 2.37506e36i −0.137141 0.244126i
\(206\) 1.03704e37 0.986102
\(207\) −1.74528e37 1.74528e37i −1.53582 1.53582i
\(208\) −4.75128e35 + 4.75128e35i −0.0387077 + 0.0387077i
\(209\) 8.75067e36i 0.660238i
\(210\) −4.24916e36 + 1.51429e37i −0.297026 + 1.05853i
\(211\) −1.33337e37 −0.863837 −0.431919 0.901913i \(-0.642163\pi\)
−0.431919 + 0.901913i \(0.642163\pi\)
\(212\) −2.61780e35 2.61780e35i −0.0157240 0.0157240i
\(213\) 2.65558e37 2.65558e37i 1.47940 1.47940i
\(214\) 2.66431e37i 1.37709i
\(215\) −9.66085e36 2.71087e36i −0.463447 0.130045i
\(216\) 1.89658e37 0.844717
\(217\) 9.27057e36 + 9.27057e36i 0.383487 + 0.383487i
\(218\) 4.04426e36 4.04426e36i 0.155430 0.155430i
\(219\) 8.87914e35i 0.0317150i
\(220\) 3.78786e37 2.12788e37i 1.25786 0.706619i
\(221\) −4.33058e35 −0.0133743
\(222\) 1.61636e37 + 1.61636e37i 0.464399 + 0.464399i
\(223\) −3.45110e37 + 3.45110e37i −0.922742 + 0.922742i −0.997222 0.0744808i \(-0.976270\pi\)
0.0744808 + 0.997222i \(0.476270\pi\)
\(224\) 2.23995e37i 0.557533i
\(225\) 9.22594e37 + 5.62018e37i 2.13841 + 1.30266i
\(226\) −9.07861e37 −1.96013
\(227\) −2.61000e37 2.61000e37i −0.525082 0.525082i 0.394020 0.919102i \(-0.371084\pi\)
−0.919102 + 0.394020i \(0.871084\pi\)
\(228\) −1.93898e37 + 1.93898e37i −0.363593 + 0.363593i
\(229\) 9.71954e36i 0.169933i 0.996384 + 0.0849666i \(0.0270784\pi\)
−0.996384 + 0.0849666i \(0.972922\pi\)
\(230\) 3.47090e37 + 6.17858e37i 0.565974 + 1.00750i
\(231\) −1.01018e38 −1.53676
\(232\) 6.82307e36 + 6.82307e36i 0.0968661 + 0.0968661i
\(233\) 9.69228e36 9.69228e36i 0.128449 0.128449i −0.639959 0.768409i \(-0.721049\pi\)
0.768409 + 0.639959i \(0.221049\pi\)
\(234\) 1.25634e37i 0.155472i
\(235\) 1.45572e37 5.18781e37i 0.168264 0.599651i
\(236\) 5.28477e37 0.570734
\(237\) −2.37025e38 2.37025e38i −2.39233 2.39233i
\(238\) 1.26302e37 1.26302e37i 0.119173 0.119173i
\(239\) 1.50334e38i 1.32645i 0.748421 + 0.663224i \(0.230812\pi\)
−0.748421 + 0.663224i \(0.769188\pi\)
\(240\) −2.56480e38 7.19693e37i −2.11677 0.593974i
\(241\) −1.52390e37 −0.117675 −0.0588374 0.998268i \(-0.518739\pi\)
−0.0588374 + 0.998268i \(0.518739\pi\)
\(242\) 3.21653e38 + 3.21653e38i 2.32457 + 2.32457i
\(243\) 2.46867e38 2.46867e38i 1.67018 1.67018i
\(244\) 9.76190e37i 0.618439i
\(245\) 1.18369e38 6.64952e37i 0.702392 0.394578i
\(246\) 1.25598e38 0.698266
\(247\) 2.24273e36 + 2.24273e36i 0.0116849 + 0.0116849i
\(248\) −5.34405e37 + 5.34405e37i −0.261002 + 0.261002i
\(249\) 3.47130e38i 1.58966i
\(250\) −2.11450e38 2.26934e38i −0.908171 0.974675i
\(251\) −5.17146e37 −0.208369 −0.104185 0.994558i \(-0.533223\pi\)
−0.104185 + 0.994558i \(0.533223\pi\)
\(252\) −1.59955e38 1.59955e38i −0.604769 0.604769i
\(253\) −3.21857e38 + 3.21857e38i −1.14218 + 1.14218i
\(254\) 2.56523e38i 0.854647i
\(255\) −8.40869e37 1.49684e38i −0.263079 0.468308i
\(256\) 4.38768e38 1.28942
\(257\) 2.18819e38 + 2.18819e38i 0.604165 + 0.604165i 0.941415 0.337250i \(-0.109497\pi\)
−0.337250 + 0.941415i \(0.609497\pi\)
\(258\) 3.27120e38 3.27120e38i 0.848773 0.848773i
\(259\) 4.76063e37i 0.116110i
\(260\) 4.25439e36 1.51616e37i 0.00975582 0.0347673i
\(261\) 5.30097e38 1.14316
\(262\) −3.90813e38 3.90813e38i −0.792772 0.792772i
\(263\) 1.06849e38 1.06849e38i 0.203928 0.203928i −0.597753 0.801681i \(-0.703939\pi\)
0.801681 + 0.597753i \(0.203939\pi\)
\(264\) 5.82321e38i 1.04592i
\(265\) −1.63449e37 4.58645e36i −0.0276344 0.00775429i
\(266\) −1.30818e38 −0.208239
\(267\) 1.30892e39 + 1.30892e39i 1.96215 + 1.96215i
\(268\) 4.99774e38 4.99774e38i 0.705695 0.705695i
\(269\) 4.10399e37i 0.0545972i −0.999627 0.0272986i \(-0.991310\pi\)
0.999627 0.0272986i \(-0.00869049\pi\)
\(270\) −2.60820e39 + 1.46519e39i −3.26979 + 1.83685i
\(271\) −1.55602e39 −1.83868 −0.919339 0.393466i \(-0.871276\pi\)
−0.919339 + 0.393466i \(0.871276\pi\)
\(272\) 2.13921e38 + 2.13921e38i 0.238315 + 0.238315i
\(273\) −2.58901e37 + 2.58901e37i −0.0271977 + 0.0271977i
\(274\) 1.36474e39i 1.35220i
\(275\) 1.03645e39 1.70141e39i 0.968781 1.59032i
\(276\) −1.42635e39 −1.25800
\(277\) 3.64318e38 + 3.64318e38i 0.303253 + 0.303253i 0.842285 0.539032i \(-0.181210\pi\)
−0.539032 + 0.842285i \(0.681210\pi\)
\(278\) −1.01810e39 + 1.01810e39i −0.799967 + 0.799967i
\(279\) 4.15189e39i 3.08020i
\(280\) −9.24778e37 1.64620e38i −0.0647901 0.115333i
\(281\) −2.51689e39 −1.66557 −0.832785 0.553597i \(-0.813255\pi\)
−0.832785 + 0.553597i \(0.813255\pi\)
\(282\) 1.75661e39 + 1.75661e39i 1.09822 + 1.09822i
\(283\) 1.72092e39 1.72092e39i 1.01666 1.01666i 0.0168046 0.999859i \(-0.494651\pi\)
0.999859 0.0168046i \(-0.00534931\pi\)
\(284\) 1.55091e39i 0.865953i
\(285\) −3.39713e38 + 1.21065e39i −0.179306 + 0.639002i
\(286\) 2.31688e38 0.115624
\(287\) 1.84960e38 + 1.84960e38i 0.0872906 + 0.0872906i
\(288\) 5.01590e39 5.01590e39i 2.23908 2.23908i
\(289\) 2.17293e39i 0.917658i
\(290\) −1.46543e39 4.11204e38i −0.585594 0.164320i
\(291\) 5.82015e39 2.20113
\(292\) −2.59280e37 2.59280e37i −0.00928203 0.00928203i
\(293\) 5.49378e38 5.49378e38i 0.186204 0.186204i −0.607849 0.794053i \(-0.707967\pi\)
0.794053 + 0.607849i \(0.207967\pi\)
\(294\) 6.25956e39i 2.00903i
\(295\) 2.11279e39 1.18689e39i 0.642251 0.360793i
\(296\) −2.74428e38 −0.0790243
\(297\) −1.35867e40 1.35867e40i −3.70691 3.70691i
\(298\) −5.17824e39 + 5.17824e39i −1.33882 + 1.33882i
\(299\) 1.64979e38i 0.0404286i
\(300\) 6.06658e39 1.47342e39i 1.40930 0.342284i
\(301\) 9.63457e38 0.212211
\(302\) 5.32074e39 + 5.32074e39i 1.11138 + 1.11138i
\(303\) −3.94144e39 + 3.94144e39i −0.780860 + 0.780860i
\(304\) 2.21571e39i 0.416424i
\(305\) 2.19239e39 + 3.90270e39i 0.390950 + 0.695933i
\(306\) 5.65651e39 0.957207
\(307\) 4.68457e39 + 4.68457e39i 0.752412 + 0.752412i 0.974929 0.222517i \(-0.0714273\pi\)
−0.222517 + 0.974929i \(0.571427\pi\)
\(308\) −2.94983e39 + 2.94983e39i −0.449764 + 0.449764i
\(309\) 9.57117e39i 1.38557i
\(310\) 3.22068e39 1.14777e40i 0.442752 1.57786i
\(311\) −1.00131e40 −1.30738 −0.653690 0.756762i \(-0.726780\pi\)
−0.653690 + 0.756762i \(0.726780\pi\)
\(312\) −1.49244e38 1.49244e38i −0.0185108 0.0185108i
\(313\) 5.88189e37 5.88189e37i 0.00693119 0.00693119i −0.703633 0.710564i \(-0.748440\pi\)
0.710564 + 0.703633i \(0.248440\pi\)
\(314\) 9.86910e39i 1.10510i
\(315\) −9.98722e39 2.80245e39i −1.06286 0.298242i
\(316\) −1.38427e40 −1.40032
\(317\) −6.78896e39 6.78896e39i −0.652912 0.652912i 0.300781 0.953693i \(-0.402753\pi\)
−0.953693 + 0.300781i \(0.902753\pi\)
\(318\) 5.53446e38 5.53446e38i 0.0506106 0.0506106i
\(319\) 9.77583e39i 0.850164i
\(320\) −5.37783e39 + 3.02107e39i −0.444844 + 0.249897i
\(321\) 2.45896e40 1.93496
\(322\) −4.81161e39 4.81161e39i −0.360244 0.360244i
\(323\) 1.00976e39 1.00976e39i 0.0719414 0.0719414i
\(324\) 3.16014e40i 2.14282i
\(325\) −1.70424e38 7.01692e38i −0.0110001 0.0452911i
\(326\) −9.42920e39 −0.579420
\(327\) 3.73256e39 + 3.73256e39i 0.218395 + 0.218395i
\(328\) −1.06621e39 + 1.06621e39i −0.0594101 + 0.0594101i
\(329\) 5.17370e39i 0.274579i
\(330\) 4.49869e40 + 8.00815e40i 2.27438 + 4.04864i
\(331\) −1.12351e40 −0.541164 −0.270582 0.962697i \(-0.587216\pi\)
−0.270582 + 0.962697i \(0.587216\pi\)
\(332\) 1.01365e40 + 1.01365e40i 0.465244 + 0.465244i
\(333\) −1.06604e40 + 1.06604e40i −0.466301 + 0.466301i
\(334\) 3.63619e40i 1.51601i
\(335\) 8.75615e39 3.12047e40i 0.348014 1.24023i
\(336\) 2.55783e40 0.969265
\(337\) 9.32868e39 + 9.32868e39i 0.337087 + 0.337087i 0.855270 0.518183i \(-0.173391\pi\)
−0.518183 + 0.855270i \(0.673391\pi\)
\(338\) −2.72759e40 + 2.72759e40i −0.939964 + 0.939964i
\(339\) 8.37890e40i 2.75418i
\(340\) −6.82633e39 1.91549e39i −0.214055 0.0600645i
\(341\) 7.65674e40 2.29073
\(342\) −2.92940e40 2.92940e40i −0.836298 0.836298i
\(343\) −2.06600e40 + 2.06600e40i −0.562892 + 0.562892i
\(344\) 5.55387e39i 0.144431i
\(345\) −5.70238e40 + 3.20339e40i −1.41563 + 0.795251i
\(346\) −6.65245e40 −1.57675
\(347\) 5.51128e40 + 5.51128e40i 1.24733 + 1.24733i 0.956896 + 0.290432i \(0.0937989\pi\)
0.290432 + 0.956896i \(0.406201\pi\)
\(348\) 2.16614e40 2.16614e40i 0.468186 0.468186i
\(349\) 2.65606e40i 0.548316i −0.961685 0.274158i \(-0.911601\pi\)
0.961685 0.274158i \(-0.0883991\pi\)
\(350\) 2.54353e40 + 1.54945e40i 0.501589 + 0.305554i
\(351\) −6.96434e39 −0.131210
\(352\) −9.25011e40 9.25011e40i −1.66519 1.66519i
\(353\) 2.73054e40 2.73054e40i 0.469736 0.469736i −0.432093 0.901829i \(-0.642225\pi\)
0.901829 + 0.432093i \(0.142225\pi\)
\(354\) 1.11728e41i 1.83701i
\(355\) −3.48315e40 6.20038e40i −0.547417 0.974462i
\(356\) 7.64434e40 1.14852
\(357\) 1.16567e40 + 1.16567e40i 0.167450 + 0.167450i
\(358\) 5.75869e40 5.75869e40i 0.791035 0.791035i
\(359\) 1.19173e41i 1.56556i 0.622301 + 0.782778i \(0.286198\pi\)
−0.622301 + 0.782778i \(0.713802\pi\)
\(360\) 1.61548e40 5.75716e40i 0.202984 0.723383i
\(361\) 7.27397e40 0.874292
\(362\) 2.14226e40 + 2.14226e40i 0.246341 + 0.246341i
\(363\) −2.96863e41 + 2.96863e41i −3.26625 + 3.26625i
\(364\) 1.51203e39i 0.0159199i
\(365\) −1.61888e39 4.54263e38i −0.0163128 0.00457743i
\(366\) −2.06382e41 −1.99056
\(367\) −1.10452e41 1.10452e41i −1.01981 1.01981i −0.999800 0.0200069i \(-0.993631\pi\)
−0.0200069 0.999800i \(-0.506369\pi\)
\(368\) 8.14958e40 8.14958e40i 0.720394 0.720394i
\(369\) 8.28357e40i 0.701125i
\(370\) 3.77396e40 2.12007e40i 0.305893 0.171840i
\(371\) 1.63005e39 0.0126537
\(372\) 1.69659e41 + 1.69659e41i 1.26151 + 1.26151i
\(373\) 2.96728e40 2.96728e40i 0.211358 0.211358i −0.593486 0.804844i \(-0.702249\pi\)
0.804844 + 0.593486i \(0.202249\pi\)
\(374\) 1.04315e41i 0.711871i
\(375\) 2.09444e41 1.95153e41i 1.36952 1.27607i
\(376\) −2.98240e40 −0.186879
\(377\) −2.50547e39 2.50547e39i −0.0150462 0.0150462i
\(378\) 2.03115e41 2.03115e41i 1.16916 1.16916i
\(379\) 1.74744e41i 0.964217i −0.876112 0.482108i \(-0.839871\pi\)
0.876112 0.482108i \(-0.160129\pi\)
\(380\) 2.54323e40 + 4.52722e40i 0.134539 + 0.239494i
\(381\) 2.36752e41 1.20087
\(382\) −2.62194e41 2.62194e41i −1.27529 1.27529i
\(383\) 1.41747e41 1.41747e41i 0.661201 0.661201i −0.294462 0.955663i \(-0.595140\pi\)
0.955663 + 0.294462i \(0.0951404\pi\)
\(384\) 2.44711e41i 1.09485i
\(385\) −5.16816e40 + 1.84180e41i −0.221801 + 0.790444i
\(386\) −1.76543e41 −0.726864
\(387\) 2.15746e41 + 2.15746e41i 0.852249 + 0.852249i
\(388\) 1.69954e41 1.69954e41i 0.644205 0.644205i
\(389\) 4.45856e41i 1.62182i 0.585174 + 0.810908i \(0.301026\pi\)
−0.585174 + 0.810908i \(0.698974\pi\)
\(390\) 3.20540e40 + 8.99447e39i 0.111905 + 0.0314009i
\(391\) 7.42798e40 0.248910
\(392\) −5.31377e40 5.31377e40i −0.170933 0.170933i
\(393\) 3.60692e41 3.60692e41i 1.11392 1.11392i
\(394\) 3.64429e40i 0.108062i
\(395\) −5.53417e41 + 3.10890e41i −1.57579 + 0.885224i
\(396\) −1.32110e42 −3.61254
\(397\) −1.42475e41 1.42475e41i −0.374187 0.374187i 0.494812 0.869000i \(-0.335237\pi\)
−0.869000 + 0.494812i \(0.835237\pi\)
\(398\) 3.62530e40 3.62530e40i 0.0914564 0.0914564i
\(399\) 1.20736e41i 0.292597i
\(400\) −2.62434e41 + 4.30805e41i −0.611028 + 1.00305i
\(401\) −1.78411e41 −0.399128 −0.199564 0.979885i \(-0.563953\pi\)
−0.199564 + 0.979885i \(0.563953\pi\)
\(402\) 1.05660e42 + 1.05660e42i 2.27141 + 2.27141i
\(403\) 1.96236e40 1.96236e40i 0.0405414 0.0405414i
\(404\) 2.30188e41i 0.457068i
\(405\) −7.09727e41 1.26339e42i −1.35460 2.41133i
\(406\) 1.46144e41 0.268142
\(407\) 1.96595e41 + 1.96595e41i 0.346786 + 0.346786i
\(408\) −6.71956e40 + 6.71956e40i −0.113967 + 0.113967i
\(409\) 6.33761e41i 1.03360i 0.856106 + 0.516800i \(0.172877\pi\)
−0.856106 + 0.516800i \(0.827123\pi\)
\(410\) 6.42568e40 2.28995e41i 0.100781 0.359157i
\(411\) 1.25956e42 1.89998
\(412\) 2.79488e41 + 2.79488e41i 0.405515 + 0.405515i
\(413\) −1.64535e41 + 1.64535e41i −0.229646 + 0.229646i
\(414\) 2.15492e42i 2.89351i
\(415\) 6.32902e41 + 1.77594e41i 0.817649 + 0.229435i
\(416\) −4.74146e40 −0.0589411
\(417\) −9.39629e41 9.39629e41i −1.12403 1.12403i
\(418\) −5.40228e41 + 5.40228e41i −0.621951 + 0.621951i
\(419\) 1.73807e41i 0.192594i 0.995353 + 0.0962970i \(0.0306999\pi\)
−0.995353 + 0.0962970i \(0.969300\pi\)
\(420\) −5.22624e41 + 2.93592e41i −0.557444 + 0.313152i
\(421\) 1.56462e41 0.160655 0.0803276 0.996769i \(-0.474403\pi\)
0.0803276 + 0.996769i \(0.474403\pi\)
\(422\) −8.23165e41 8.23165e41i −0.813743 0.813743i
\(423\) −1.15854e42 + 1.15854e42i −1.10272 + 1.10272i
\(424\) 9.39646e39i 0.00861213i
\(425\) −3.15929e41 + 7.67313e40i −0.278847 + 0.0677251i
\(426\) 3.27888e42 2.78723
\(427\) −3.03926e41 3.03926e41i −0.248841 0.248841i
\(428\) 7.18041e41 7.18041e41i 0.566303 0.566303i
\(429\) 2.13832e41i 0.162463i
\(430\) −4.29061e41 7.63775e41i −0.314068 0.559075i
\(431\) 5.07423e40 0.0357877 0.0178939 0.999840i \(-0.494304\pi\)
0.0178939 + 0.999840i \(0.494304\pi\)
\(432\) 3.44023e42 + 3.44023e42i 2.33801 + 2.33801i
\(433\) 2.15420e41 2.15420e41i 0.141085 0.141085i −0.633037 0.774122i \(-0.718192\pi\)
0.774122 + 0.633037i \(0.218192\pi\)
\(434\) 1.14465e42i 0.722497i
\(435\) 3.79512e41 1.35248e42i 0.230886 0.822818i
\(436\) 2.17989e41 0.127835
\(437\) −3.84681e41 3.84681e41i −0.217469 0.217469i
\(438\) 5.48159e40 5.48159e40i 0.0298759 0.0298759i
\(439\) 1.06578e42i 0.560059i 0.959991 + 0.280029i \(0.0903442\pi\)
−0.959991 + 0.280029i \(0.909656\pi\)
\(440\) −1.06171e42 2.97920e41i −0.537977 0.150958i
\(441\) −4.12837e42 −2.01726
\(442\) −2.67351e40 2.67351e40i −0.0125987 0.0125987i
\(443\) 2.42798e42 2.42798e42i 1.10353 1.10353i 0.109553 0.993981i \(-0.465058\pi\)
0.993981 0.109553i \(-0.0349419\pi\)
\(444\) 8.71233e41i 0.381950i
\(445\) 3.05612e42 1.71682e42i 1.29244 0.726047i
\(446\) −4.26112e42 −1.73846
\(447\) −4.77914e42 4.77914e42i −1.88118 1.88118i
\(448\) 4.18803e41 4.18803e41i 0.159060 0.159060i
\(449\) 2.99100e42i 1.09616i −0.836425 0.548082i \(-0.815358\pi\)
0.836425 0.548082i \(-0.184642\pi\)
\(450\) 2.22604e42 + 9.16534e42i 0.787285 + 3.24152i
\(451\) 1.52762e42 0.521424
\(452\) −2.44672e42 2.44672e42i −0.806064 0.806064i
\(453\) −4.91065e42 + 4.91065e42i −1.56159 + 1.56159i
\(454\) 3.22260e42i 0.989265i
\(455\) 3.39583e40 + 6.04495e40i 0.0100638 + 0.0179147i
\(456\) 6.95986e41 0.199142
\(457\) 2.89287e42 + 2.89287e42i 0.799226 + 0.799226i 0.982974 0.183747i \(-0.0588228\pi\)
−0.183747 + 0.982974i \(0.558823\pi\)
\(458\) −6.00042e41 + 6.00042e41i −0.160079 + 0.160079i
\(459\) 3.13562e42i 0.807830i
\(460\) −7.29729e41 + 2.60057e42i −0.181567 + 0.647059i
\(461\) 2.34084e42 0.562544 0.281272 0.959628i \(-0.409244\pi\)
0.281272 + 0.959628i \(0.409244\pi\)
\(462\) −6.23641e42 6.23641e42i −1.44765 1.44765i
\(463\) −8.44318e41 + 8.44318e41i −0.189326 + 0.189326i −0.795405 0.606079i \(-0.792742\pi\)
0.606079 + 0.795405i \(0.292742\pi\)
\(464\) 2.47529e42i 0.536214i
\(465\) 1.05931e43 + 2.97246e42i 2.21705 + 0.622112i
\(466\) 1.19672e42 0.242001
\(467\) 5.12952e42 + 5.12952e42i 1.00232 + 1.00232i 0.999997 + 0.00232253i \(0.000739285\pi\)
0.00232253 + 0.999997i \(0.499261\pi\)
\(468\) −3.38588e41 + 3.38588e41i −0.0639348 + 0.0639348i
\(469\) 3.11198e42i 0.567900i
\(470\) 4.10142e42 2.30403e42i 0.723384 0.406371i
\(471\) −9.10847e42 −1.55278
\(472\) −9.48468e41 9.48468e41i −0.156297 0.156297i
\(473\) 3.97869e42 3.97869e42i 0.633814 0.633814i
\(474\) 2.92658e43i 4.50720i
\(475\) 2.03351e42 + 1.23876e42i 0.302795 + 0.184454i
\(476\) 6.80776e41 0.0980151
\(477\) 3.65014e41 + 3.65014e41i 0.0508178 + 0.0508178i
\(478\) −9.28094e42 + 9.28094e42i −1.24953 + 1.24953i
\(479\) 1.13201e43i 1.47395i 0.675920 + 0.736975i \(0.263747\pi\)
−0.675920 + 0.736975i \(0.736253\pi\)
\(480\) −9.20648e42 1.63885e43i −1.15940 2.06386i
\(481\) 1.00771e41 0.0122748
\(482\) −9.40788e41 9.40788e41i −0.110851 0.110851i
\(483\) 4.44077e42 4.44077e42i 0.506179 0.506179i
\(484\) 1.73374e43i 1.91187i
\(485\) 2.97763e42 1.06115e43i 0.317689 1.13217i
\(486\) 3.04810e43 3.14665
\(487\) −3.32700e41 3.32700e41i −0.0332345 0.0332345i 0.690294 0.723529i \(-0.257481\pi\)
−0.723529 + 0.690294i \(0.757481\pi\)
\(488\) 1.75199e42 1.75199e42i 0.169361 0.169361i
\(489\) 8.70247e42i 0.814143i
\(490\) 1.14127e43 + 3.20244e42i 1.03336 + 0.289963i
\(491\) 9.59647e42 0.841023 0.420511 0.907287i \(-0.361851\pi\)
0.420511 + 0.907287i \(0.361851\pi\)
\(492\) 3.38491e42 + 3.38491e42i 0.287148 + 0.287148i
\(493\) −1.12806e42 + 1.12806e42i −0.0926362 + 0.0926362i
\(494\) 2.76912e41i 0.0220146i
\(495\) −5.28162e43 + 2.96702e43i −4.06522 + 2.28369i
\(496\) −1.93873e43 −1.44481
\(497\) 4.82859e42 + 4.82859e42i 0.348432 + 0.348432i
\(498\) −2.14303e43 + 2.14303e43i −1.49747 + 1.49747i
\(499\) 2.82234e42i 0.190986i −0.995430 0.0954928i \(-0.969557\pi\)
0.995430 0.0954928i \(-0.0304427\pi\)
\(500\) 4.17303e41 1.18146e43i 0.0273484 0.774284i
\(501\) 3.35594e43 2.13015
\(502\) −3.19263e42 3.19263e42i −0.196286 0.196286i
\(503\) −7.85742e42 + 7.85742e42i −0.467942 + 0.467942i −0.901247 0.433305i \(-0.857347\pi\)
0.433305 + 0.901247i \(0.357347\pi\)
\(504\) 5.74150e42i 0.331236i
\(505\) 5.16972e42 + 9.20266e42i 0.288938 + 0.514341i
\(506\) −3.97400e43 −2.15189
\(507\) −2.51736e43 2.51736e43i −1.32074 1.32074i
\(508\) 6.91340e42 6.91340e42i 0.351457 0.351457i
\(509\) 1.76434e43i 0.869156i −0.900634 0.434578i \(-0.856897\pi\)
0.900634 0.434578i \(-0.143103\pi\)
\(510\) 4.04966e42 1.44320e43i 0.193328 0.688974i
\(511\) 1.61448e41 0.00746960
\(512\) 1.78645e43 + 1.78645e43i 0.801070 + 0.801070i
\(513\) 1.62388e43 1.62388e43i 0.705789 0.705789i
\(514\) 2.70179e43i 1.13826i
\(515\) 1.74505e43 + 4.89668e42i 0.712678 + 0.199980i
\(516\) 1.76320e43 0.698083
\(517\) 2.13653e43 + 2.13653e43i 0.820088 + 0.820088i
\(518\) −2.93900e42 + 2.93900e42i −0.109376 + 0.109376i
\(519\) 6.13973e43i 2.21550i
\(520\) −3.48463e41 + 1.95754e41i −0.0121928 + 0.00684946i
\(521\) −4.63252e43 −1.57186 −0.785930 0.618316i \(-0.787815\pi\)
−0.785930 + 0.618316i \(0.787815\pi\)
\(522\) 3.27259e43 + 3.27259e43i 1.07687 + 1.07687i
\(523\) 1.37405e43 1.37405e43i 0.438507 0.438507i −0.453003 0.891509i \(-0.649647\pi\)
0.891509 + 0.453003i \(0.149647\pi\)
\(524\) 2.10651e43i 0.652024i
\(525\) −1.43003e43 + 2.34749e43i −0.429334 + 0.704783i
\(526\) 1.31927e43 0.384205
\(527\) −8.83531e42 8.83531e42i −0.249604 0.249604i
\(528\) 1.05628e44 1.05628e44i 2.89492 2.89492i
\(529\) 9.31114e42i 0.247578i
\(530\) −7.25918e41 1.29221e42i −0.0187272 0.0333365i
\(531\) −7.36883e43 −1.84453
\(532\) −3.52561e42 3.52561e42i −0.0856344 0.0856344i
\(533\) 3.91517e41 3.91517e41i 0.00922816 0.00922816i
\(534\) 1.61614e44i 3.69673i
\(535\) 1.25802e43 4.48328e43i 0.279272 0.995257i
\(536\) −1.79391e43 −0.386513
\(537\) 5.31486e43 + 5.31486e43i 1.11148 + 1.11148i
\(538\) 2.53362e42 2.53362e42i 0.0514311 0.0514311i
\(539\) 7.61337e43i 1.50023i
\(540\) −1.09779e44 3.08045e43i −2.10001 0.589269i
\(541\) 4.48481e41 0.00832890 0.00416445 0.999991i \(-0.498674\pi\)
0.00416445 + 0.999991i \(0.498674\pi\)
\(542\) −9.60616e43 9.60616e43i −1.73205 1.73205i
\(543\) −1.97715e43 + 1.97715e43i −0.346133 + 0.346133i
\(544\) 2.13479e43i 0.362888i
\(545\) 8.71495e42 4.89575e42i 0.143854 0.0808118i
\(546\) −3.19668e42 −0.0512410
\(547\) 5.86849e43 + 5.86849e43i 0.913543 + 0.913543i 0.996549 0.0830059i \(-0.0264520\pi\)
−0.0830059 + 0.996549i \(0.526452\pi\)
\(548\) 3.67804e43 3.67804e43i 0.556068 0.556068i
\(549\) 1.36115e44i 1.99871i
\(550\) 1.69023e44 4.10516e43i 2.41070 0.585500i
\(551\) 1.16840e43 0.161870
\(552\) 2.55990e43 + 2.55990e43i 0.344506 + 0.344506i
\(553\) 4.30978e43 4.30978e43i 0.563447 0.563447i
\(554\) 4.49828e43i 0.571334i
\(555\) 1.95668e43 + 3.48309e43i 0.241452 + 0.429811i
\(556\) −5.48762e43 −0.657942
\(557\) −1.00298e44 1.00298e44i −1.16844 1.16844i −0.982575 0.185869i \(-0.940490\pi\)
−0.185869 0.982575i \(-0.559510\pi\)
\(558\) −2.56319e44 + 2.56319e44i −2.90158 + 2.90158i
\(559\) 2.03941e42i 0.0224345i
\(560\) 1.30860e43 4.66353e43i 0.139894 0.498547i
\(561\) 9.62752e43 1.00025
\(562\) −1.55382e44 1.55382e44i −1.56898 1.56898i
\(563\) −5.43991e43 + 5.43991e43i −0.533897 + 0.533897i −0.921730 0.387833i \(-0.873224\pi\)
0.387833 + 0.921730i \(0.373224\pi\)
\(564\) 9.46829e43i 0.903245i
\(565\) −1.52767e44 4.28670e43i −1.41663 0.397510i
\(566\) 2.12484e44 1.91541
\(567\) 9.83874e43 + 9.83874e43i 0.862205 + 0.862205i
\(568\) −2.78346e43 + 2.78346e43i −0.237144 + 0.237144i
\(569\) 6.89044e43i 0.570756i 0.958415 + 0.285378i \(0.0921192\pi\)
−0.958415 + 0.285378i \(0.907881\pi\)
\(570\) −9.57128e43 + 5.37680e43i −0.770854 + 0.433038i
\(571\) −1.52121e44 −1.19127 −0.595636 0.803255i \(-0.703100\pi\)
−0.595636 + 0.803255i \(0.703100\pi\)
\(572\) 6.24409e42 + 6.24409e42i 0.0475481 + 0.0475481i
\(573\) 2.41986e44 2.41986e44i 1.79191 1.79191i
\(574\) 2.28372e43i 0.164457i
\(575\) 2.92317e43 + 1.20357e44i 0.204724 + 0.842918i
\(576\) 1.87564e44 1.27758
\(577\) −1.32520e44 1.32520e44i −0.877946 0.877946i 0.115376 0.993322i \(-0.463193\pi\)
−0.993322 + 0.115376i \(0.963193\pi\)
\(578\) 1.34147e44 1.34147e44i 0.864443 0.864443i
\(579\) 1.62936e44i 1.02132i
\(580\) −2.84118e43 5.05760e43i −0.173241 0.308387i
\(581\) −6.31180e43 −0.374399
\(582\) 3.59310e44 + 3.59310e44i 2.07349 + 2.07349i
\(583\) 6.73144e42 6.73144e42i 0.0377930 0.0377930i
\(584\) 9.30670e41i 0.00508382i
\(585\) −5.93212e42 + 2.11406e43i −0.0315295 + 0.112363i
\(586\) 6.78323e43 0.350812
\(587\) 1.05854e44 + 1.05854e44i 0.532719 + 0.532719i 0.921381 0.388661i \(-0.127062\pi\)
−0.388661 + 0.921381i \(0.627062\pi\)
\(588\) −1.68698e44 + 1.68698e44i −0.826175 + 0.826175i
\(589\) 9.15128e43i 0.436151i
\(590\) 2.03708e44 + 5.71611e43i 0.944877 + 0.265136i
\(591\) 3.36341e43 0.151838
\(592\) −4.97787e43 4.97787e43i −0.218724 0.218724i
\(593\) −9.62572e43 + 9.62572e43i −0.411678 + 0.411678i −0.882323 0.470645i \(-0.844021\pi\)
0.470645 + 0.882323i \(0.344021\pi\)
\(594\) 1.67757e45i 6.98389i
\(595\) 2.72167e43 1.52893e43i 0.110297 0.0619609i
\(596\) −2.79111e44 −1.10113
\(597\) 3.34589e43 + 3.34589e43i 0.128506 + 0.128506i
\(598\) −1.01851e43 + 1.01851e43i −0.0380842 + 0.0380842i
\(599\) 1.37289e44i 0.499813i 0.968270 + 0.249907i \(0.0803999\pi\)
−0.968270 + 0.249907i \(0.919600\pi\)
\(600\) −1.35322e44 8.24343e43i −0.479676 0.292205i
\(601\) 1.77294e44 0.611931 0.305966 0.952043i \(-0.401021\pi\)
0.305966 + 0.952043i \(0.401021\pi\)
\(602\) 5.94796e43 + 5.94796e43i 0.199905 + 0.199905i
\(603\) −6.96862e44 + 6.96862e44i −2.28071 + 2.28071i
\(604\) 2.86792e44i 0.914063i
\(605\) 3.89375e44 + 6.93129e44i 1.20860 + 2.15144i
\(606\) −4.86654e44 −1.47116
\(607\) −4.34261e44 4.34261e44i −1.27859 1.27859i −0.941457 0.337134i \(-0.890543\pi\)
−0.337134 0.941457i \(-0.609457\pi\)
\(608\) 1.10557e44 1.10557e44i 0.317050 0.317050i
\(609\) 1.34880e44i 0.376767i
\(610\) −1.05587e44 + 3.76284e44i −0.287297 + 1.02386i
\(611\) 1.09515e43 0.0290278
\(612\) 1.52445e44 + 1.52445e44i 0.393633 + 0.393633i
\(613\) 5.56557e44 5.56557e44i 1.40005 1.40005i 0.600184 0.799862i \(-0.295094\pi\)
0.799862 0.600184i \(-0.204906\pi\)
\(614\) 5.78409e44i 1.41756i
\(615\) 2.11346e44 + 5.93044e43i 0.504652 + 0.141607i
\(616\) 1.05882e44 0.246338
\(617\) −1.35367e44 1.35367e44i −0.306866 0.306866i 0.536826 0.843693i \(-0.319623\pi\)
−0.843693 + 0.536826i \(0.819623\pi\)
\(618\) −5.90882e44 + 5.90882e44i −1.30522 + 1.30522i
\(619\) 2.87188e44i 0.618180i 0.951033 + 0.309090i \(0.100024\pi\)
−0.951033 + 0.309090i \(0.899976\pi\)
\(620\) 3.96127e44 2.22530e44i 0.830937 0.466790i
\(621\) 1.19455e45 2.44196
\(622\) −6.18164e44 6.18164e44i −1.23157 1.23157i
\(623\) −2.37998e44 + 2.37998e44i −0.462130 + 0.462130i
\(624\) 5.41432e43i 0.102469i
\(625\) −2.48658e44 4.81708e44i −0.458693 0.888595i
\(626\) 7.26244e42 0.0130585
\(627\) −4.98591e44 4.98591e44i −0.873904 0.873904i
\(628\) −2.65976e44 + 2.65976e44i −0.454453 + 0.454453i
\(629\) 4.53711e43i 0.0755735i
\(630\) −4.43556e44 7.89578e44i −0.720278 1.28217i
\(631\) −8.09467e44 −1.28153 −0.640766 0.767736i \(-0.721383\pi\)
−0.640766 + 0.767736i \(0.721383\pi\)
\(632\) 2.48439e44 + 2.48439e44i 0.383483 + 0.383483i
\(633\) 7.59721e44 7.59721e44i 1.14339 1.14339i
\(634\) 8.38240e44i 1.23010i
\(635\) 1.21124e44 4.31656e44i 0.173321 0.617672i
\(636\) 2.98312e43 0.0416252
\(637\) 1.95124e43 + 1.95124e43i 0.0265510 + 0.0265510i
\(638\) 6.03516e44 6.03516e44i 0.800863 0.800863i
\(639\) 2.16252e45i 2.79864i
\(640\) 4.46166e44 + 1.25196e44i 0.563141 + 0.158019i
\(641\) 1.01290e45 1.24692 0.623462 0.781854i \(-0.285726\pi\)
0.623462 + 0.781854i \(0.285726\pi\)
\(642\) 1.51805e45 + 1.51805e45i 1.82275 + 1.82275i
\(643\) 8.81933e44 8.81933e44i 1.03290 1.03290i 0.0334640 0.999440i \(-0.489346\pi\)
0.999440 0.0334640i \(-0.0106539\pi\)
\(644\) 2.59350e44i 0.296287i
\(645\) 7.04909e44 3.95992e44i 0.785557 0.441297i
\(646\) 1.24677e44 0.135539
\(647\) −9.70562e44 9.70562e44i −1.02933 1.02933i −0.999557 0.0297739i \(-0.990521\pi\)
−0.0297739 0.999557i \(-0.509479\pi\)
\(648\) −5.67157e44 + 5.67157e44i −0.586818 + 0.586818i
\(649\) 1.35893e45i 1.37177i
\(650\) 3.27981e43 5.38405e43i 0.0323025 0.0530268i
\(651\) −1.05643e45 −1.01518
\(652\) −2.54121e44 2.54121e44i −0.238275 0.238275i
\(653\) −5.93429e44 + 5.93429e44i −0.542947 + 0.542947i −0.924392 0.381445i \(-0.875427\pi\)
0.381445 + 0.924392i \(0.375427\pi\)
\(654\) 4.60863e44i 0.411461i
\(655\) −4.73096e44 8.42161e44i −0.412181 0.733727i
\(656\) −3.86801e44 −0.328871
\(657\) 3.61528e43 + 3.61528e43i 0.0299982 + 0.0299982i
\(658\) −3.19401e44 + 3.19401e44i −0.258656 + 0.258656i
\(659\) 1.07603e45i 0.850471i −0.905083 0.425236i \(-0.860191\pi\)
0.905083 0.425236i \(-0.139809\pi\)
\(660\) −9.45814e44 + 3.37064e45i −0.729630 + 2.60022i
\(661\) 1.82482e44 0.137403 0.0687017 0.997637i \(-0.478114\pi\)
0.0687017 + 0.997637i \(0.478114\pi\)
\(662\) −6.93605e44 6.93605e44i −0.509782 0.509782i
\(663\) 2.46746e43 2.46746e43i 0.0177024 0.0177024i
\(664\) 3.63846e44i 0.254817i
\(665\) −2.20131e44 6.17694e43i −0.150499 0.0422306i
\(666\) −1.31625e45 −0.878520
\(667\) 4.29747e44 + 4.29747e44i 0.280027 + 0.280027i
\(668\) 9.79969e44 9.79969e44i 0.623431 0.623431i
\(669\) 3.93270e45i 2.44272i
\(670\) 2.46701e45 1.38588e45i 1.49614 0.840480i
\(671\) −2.51018e45 −1.48643
\(672\) 1.27627e45 + 1.27627e45i 0.737962 + 0.737962i
\(673\) −1.78761e45 + 1.78761e45i −1.00933 + 1.00933i −0.00937027 + 0.999956i \(0.502983\pi\)
−0.999956 + 0.00937027i \(0.997017\pi\)
\(674\) 1.15182e45i 0.635079i
\(675\) −5.08069e45 + 1.23397e45i −2.73566 + 0.664425i
\(676\) −1.47019e45 −0.773084
\(677\) 1.41232e45 + 1.41232e45i 0.725296 + 0.725296i 0.969679 0.244383i \(-0.0785854\pi\)
−0.244383 + 0.969679i \(0.578585\pi\)
\(678\) 5.17276e45 5.17276e45i 2.59446 2.59446i
\(679\) 1.05827e45i 0.518416i
\(680\) 8.81359e43 + 1.56891e44i 0.0421706 + 0.0750683i
\(681\) 2.97423e45 1.39002
\(682\) 4.72693e45 + 4.72693e45i 2.15789 + 2.15789i
\(683\) −1.44954e45 + 1.44954e45i −0.646396 + 0.646396i −0.952120 0.305724i \(-0.901102\pi\)
0.305724 + 0.952120i \(0.401102\pi\)
\(684\) 1.57897e45i 0.687822i
\(685\) 6.44400e44 2.29648e45i 0.274225 0.977268i
\(686\) −2.55092e45 −1.06050
\(687\) −5.53795e44 5.53795e44i −0.224927 0.224927i
\(688\) −1.00742e45 + 1.00742e45i −0.399758 + 0.399758i
\(689\) 3.45043e42i 0.00133772i
\(690\) −5.49803e45 1.54277e45i −2.08267 0.584406i
\(691\) 4.24106e45 1.56973 0.784866 0.619665i \(-0.212732\pi\)
0.784866 + 0.619665i \(0.212732\pi\)
\(692\) −1.79286e45 1.79286e45i −0.648410 0.648410i
\(693\) 4.11310e45 4.11310e45i 1.45358 1.45358i
\(694\) 6.80484e45i 2.34999i
\(695\) −2.19389e45 + 1.23245e45i −0.740386 + 0.415922i
\(696\) −7.77522e44 −0.256428
\(697\) −1.76276e44 1.76276e44i −0.0568158 0.0568158i
\(698\) 1.63973e45 1.63973e45i 0.516519 0.516519i
\(699\) 1.10448e45i 0.340036i
\(700\) 2.67909e44 + 1.10307e45i 0.0806156 + 0.331922i
\(701\) −3.28897e45 −0.967323 −0.483661 0.875255i \(-0.660693\pi\)
−0.483661 + 0.875255i \(0.660693\pi\)
\(702\) −4.29948e44 4.29948e44i −0.123601 0.123601i
\(703\) −2.34968e44 + 2.34968e44i −0.0660274 + 0.0660274i
\(704\) 3.45897e45i 0.950133i
\(705\) 2.12645e45 + 3.78532e45i 0.570992 + 1.01643i
\(706\) 3.37143e45 0.884992
\(707\) −7.16664e44 7.16664e44i −0.183910 0.183910i
\(708\) −3.01113e45 + 3.01113e45i −0.755435 + 0.755435i
\(709\) 7.44075e45i 1.82506i −0.409011 0.912529i \(-0.634126\pi\)
0.409011 0.912529i \(-0.365874\pi\)
\(710\) 1.67750e45 5.97819e45i 0.402280 1.43363i
\(711\) 1.93017e46 4.52565
\(712\) −1.37195e45 1.37195e45i −0.314527 0.314527i
\(713\) −3.36592e45 + 3.36592e45i −0.754520 + 0.754520i
\(714\) 1.43927e45i 0.315479i
\(715\) 3.89866e44 + 1.09398e44i 0.0835639 + 0.0234483i
\(716\) 3.10398e45 0.650595
\(717\) −8.56564e45 8.56564e45i −1.75571 1.75571i
\(718\) −7.35724e45 + 7.35724e45i −1.47477 + 1.47477i
\(719\) 6.10592e45i 1.19698i 0.801128 + 0.598492i \(0.204233\pi\)
−0.801128 + 0.598492i \(0.795767\pi\)
\(720\) 1.33733e46 7.51265e45i 2.56401 1.44037i
\(721\) −1.74031e45 −0.326333
\(722\) 4.49063e45 + 4.49063e45i 0.823592 + 0.823592i
\(723\) 8.68279e44 8.68279e44i 0.155757 0.155757i
\(724\) 1.15470e45i 0.202606i
\(725\) −2.27174e45 1.38388e45i −0.389898 0.237515i
\(726\) −3.66540e46 −6.15369
\(727\) 6.94891e44 + 6.94891e44i 0.114121 + 0.114121i 0.761861 0.647740i \(-0.224286\pi\)
−0.647740 + 0.761861i \(0.724286\pi\)
\(728\) 2.71368e43 2.71368e43i 0.00435970 0.00435970i
\(729\) 1.05341e46i 1.65560i
\(730\) −7.18983e43 1.27987e44i −0.0110549 0.0196788i
\(731\) −9.18222e44 −0.138124
\(732\) −5.56208e45 5.56208e45i −0.818578 0.818578i
\(733\) 1.20300e45 1.20300e45i 0.173222 0.173222i −0.615172 0.788393i \(-0.710913\pi\)
0.788393 + 0.615172i \(0.210913\pi\)
\(734\) 1.36377e46i 1.92134i
\(735\) −2.95562e45 + 1.05331e46i −0.407428 + 1.45197i
\(736\) 8.13273e45 1.09696
\(737\) 1.28512e46 + 1.28512e46i 1.69615 + 1.69615i
\(738\) −5.11391e45 + 5.11391e45i −0.660467 + 0.660467i
\(739\) 1.35977e46i 1.71853i 0.511534 + 0.859263i \(0.329077\pi\)
−0.511534 + 0.859263i \(0.670923\pi\)
\(740\) 1.58847e45 + 4.45729e44i 0.196458 + 0.0551269i
\(741\) −2.55570e44 −0.0309327
\(742\) 1.00632e44 + 1.00632e44i 0.0119199 + 0.0119199i
\(743\) 8.14315e45 8.14315e45i 0.943999 0.943999i −0.0545140 0.998513i \(-0.517361\pi\)
0.998513 + 0.0545140i \(0.0173609\pi\)
\(744\) 6.08981e45i 0.690934i
\(745\) −1.11586e46 + 6.26847e45i −1.23910 + 0.696084i
\(746\) 3.66374e45 0.398202
\(747\) −1.41339e46 1.41339e46i −1.50360 1.50360i
\(748\) 2.81133e45 2.81133e45i 0.292743 0.292743i
\(749\) 4.47108e45i 0.455726i
\(750\) 2.49780e46 + 8.82245e44i 2.49217 + 0.0880256i
\(751\) −5.49332e44 −0.0536532 −0.0268266 0.999640i \(-0.508540\pi\)
−0.0268266 + 0.999640i \(0.508540\pi\)
\(752\) −5.40980e45 5.40980e45i −0.517244 0.517244i
\(753\) 2.94657e45 2.94657e45i 0.275802 0.275802i