Properties

Label 5.33.c.a.3.3
Level $5$
Weight $33$
Character 5.3
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 3.3
Character \(\chi\) \(=\) 5.3
Dual form 5.33.c.a.2.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-70960.9 + 70960.9i) q^{2} +(-4.83700e7 - 4.83700e7i) q^{3} -5.77593e9i q^{4} +(1.51118e11 - 2.11291e10i) q^{5} +6.86476e12 q^{6} +(2.09740e13 - 2.09740e13i) q^{7} +(1.05090e14 + 1.05090e14i) q^{8} +2.82629e15i q^{9} +O(q^{10})\) \(q+(-70960.9 + 70960.9i) q^{2} +(-4.83700e7 - 4.83700e7i) q^{3} -5.77593e9i q^{4} +(1.51118e11 - 2.11291e10i) q^{5} +6.86476e12 q^{6} +(2.09740e13 - 2.09740e13i) q^{7} +(1.05090e14 + 1.05090e14i) q^{8} +2.82629e15i q^{9} +(-9.22412e15 + 1.22228e16i) q^{10} +6.47623e16 q^{11} +(-2.79382e17 + 2.79382e17i) q^{12} +(-4.20416e17 - 4.20416e17i) q^{13} +2.97666e18i q^{14} +(-8.33159e18 - 6.28756e18i) q^{15} +9.89284e18 q^{16} +(-1.82331e19 + 1.82331e19i) q^{17} +(-2.00556e20 - 2.00556e20i) q^{18} -1.23600e20i q^{19} +(-1.22040e20 - 8.72846e20i) q^{20} -2.02902e21 q^{21} +(-4.59559e21 + 4.59559e21i) q^{22} +(6.48274e21 + 6.48274e21i) q^{23} -1.01664e22i q^{24} +(2.23902e22 - 6.38597e21i) q^{25} +5.96662e22 q^{26} +(4.70772e22 - 4.70772e22i) q^{27} +(-1.21144e23 - 1.21144e23i) q^{28} +4.68141e23i q^{29} +(1.03739e24 - 1.45046e23i) q^{30} +2.94207e22 q^{31} +(-1.15336e24 + 1.15336e24i) q^{32} +(-3.13255e24 - 3.13255e24i) q^{33} -2.58767e24i q^{34} +(2.72638e24 - 3.61270e24i) q^{35} +1.63245e25 q^{36} +(1.50424e25 - 1.50424e25i) q^{37} +(8.77074e24 + 8.77074e24i) q^{38} +4.06711e25i q^{39} +(1.81015e25 + 1.36605e25i) q^{40} +4.08942e25 q^{41} +(1.43981e26 - 1.43981e26i) q^{42} +(5.01997e25 + 5.01997e25i) q^{43} -3.74062e26i q^{44} +(5.97170e25 + 4.27104e26i) q^{45} -9.20042e26 q^{46} +(4.23386e26 - 4.23386e26i) q^{47} +(-4.78517e26 - 4.78517e26i) q^{48} +2.24614e26i q^{49} +(-1.13567e27 + 2.04198e27i) q^{50} +1.76387e27 q^{51} +(-2.42829e27 + 2.42829e27i) q^{52} +(-2.94663e27 - 2.94663e27i) q^{53} +6.68128e27i q^{54} +(9.78674e27 - 1.36837e27i) q^{55} +4.40831e27 q^{56} +(-5.97851e27 + 5.97851e27i) q^{57} +(-3.32197e28 - 3.32197e28i) q^{58} -8.62486e27i q^{59} +(-3.63165e28 + 4.81226e28i) q^{60} +1.77137e28 q^{61} +(-2.08772e27 + 2.08772e27i) q^{62} +(5.92786e28 + 5.92786e28i) q^{63} -1.21198e29i q^{64} +(-7.24154e28 - 5.46494e28i) q^{65} +4.44577e29 q^{66} +(-2.48410e28 + 2.48410e28i) q^{67} +(1.05313e29 + 1.05313e29i) q^{68} -6.27141e29i q^{69} +(6.28941e28 + 4.49827e29i) q^{70} +3.63249e29 q^{71} +(-2.97015e29 + 2.97015e29i) q^{72} +(-5.94905e29 - 5.94905e29i) q^{73} +2.13484e30i q^{74} +(-1.39190e30 - 7.74124e29i) q^{75} -7.13902e29 q^{76} +(1.35832e30 - 1.35832e30i) q^{77} +(-2.88605e30 - 2.88605e30i) q^{78} +1.45813e30i q^{79} +(1.49499e30 - 2.09027e29i) q^{80} +6.82928e29 q^{81} +(-2.90189e30 + 2.90189e30i) q^{82} +(3.27935e30 + 3.27935e30i) q^{83} +1.17195e31i q^{84} +(-2.37010e30 + 3.14060e30i) q^{85} -7.12443e30 q^{86} +(2.26440e31 - 2.26440e31i) q^{87} +(6.80587e30 + 6.80587e30i) q^{88} -8.42590e29i q^{89} +(-3.45452e31 - 2.60701e31i) q^{90} -1.76356e31 q^{91} +(3.74438e31 - 3.74438e31i) q^{92} +(-1.42308e30 - 1.42308e30i) q^{93} +6.00877e31i q^{94} +(-2.61155e30 - 1.86781e31i) q^{95} +1.11576e32 q^{96} +(-3.56654e30 + 3.56654e30i) q^{97} +(-1.59388e31 - 1.59388e31i) q^{98} +1.83037e32i 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 \(\left(\mathbb{Z}/5\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −70960.9 + 70960.9i −1.08278 + 1.08278i −0.0865276 + 0.996249i \(0.527577\pi\)
−0.996249 + 0.0865276i \(0.972423\pi\)
\(3\) −4.83700e7 4.83700e7i −1.12366 1.12366i −0.991186 0.132477i \(-0.957707\pi\)
−0.132477 0.991186i \(-0.542293\pi\)
\(4\) 5.77593e9i 1.34481i
\(5\) 1.51118e11 2.11291e10i 0.990366 0.138472i
\(6\) 6.86476e12 2.43335
\(7\) 2.09740e13 2.09740e13i 0.631120 0.631120i −0.317229 0.948349i \(-0.602752\pi\)
0.948349 + 0.317229i \(0.102752\pi\)
\(8\) 1.05090e14 + 1.05090e14i 0.373355 + 0.373355i
\(9\) 2.82629e15i 1.52524i
\(10\) −9.22412e15 + 1.22228e16i −0.922412 + 1.22228i
\(11\) 6.47623e16 1.40942 0.704708 0.709498i \(-0.251078\pi\)
0.704708 + 0.709498i \(0.251078\pi\)
\(12\) −2.79382e17 + 2.79382e17i −1.51112 + 1.51112i
\(13\) −4.20416e17 4.20416e17i −0.631809 0.631809i 0.316713 0.948522i \(-0.397421\pi\)
−0.948522 + 0.316713i \(0.897421\pi\)
\(14\) 2.97666e18i 1.36672i
\(15\) −8.33159e18 6.28756e18i −1.26843 0.957243i
\(16\) 9.89284e18 0.536292
\(17\) −1.82331e19 + 1.82331e19i −0.374695 + 0.374695i −0.869184 0.494489i \(-0.835355\pi\)
0.494489 + 0.869184i \(0.335355\pi\)
\(18\) −2.00556e20 2.00556e20i −1.65149 1.65149i
\(19\) 1.23600e20i 0.428508i −0.976778 0.214254i \(-0.931268\pi\)
0.976778 0.214254i \(-0.0687321\pi\)
\(20\) −1.22040e20 8.72846e20i −0.186218 1.33186i
\(21\) −2.02902e21 −1.41833
\(22\) −4.59559e21 + 4.59559e21i −1.52608 + 1.52608i
\(23\) 6.48274e21 + 6.48274e21i 1.05709 + 1.05709i 0.998268 + 0.0588254i \(0.0187355\pi\)
0.0588254 + 0.998268i \(0.481264\pi\)
\(24\) 1.01664e22i 0.839050i
\(25\) 2.23902e22 6.38597e21i 0.961651 0.274275i
\(26\) 5.96662e22 1.36822
\(27\) 4.70772e22 4.70772e22i 0.590188 0.590188i
\(28\) −1.21144e23 1.21144e23i −0.848738 0.848738i
\(29\) 4.68141e23i 1.87072i 0.353699 + 0.935359i \(0.384924\pi\)
−0.353699 + 0.935359i \(0.615076\pi\)
\(30\) 1.03739e24 1.45046e23i 2.40991 0.336950i
\(31\) 2.94207e22 0.0404451 0.0202226 0.999796i \(-0.493563\pi\)
0.0202226 + 0.999796i \(0.493563\pi\)
\(32\) −1.15336e24 + 1.15336e24i −0.954040 + 0.954040i
\(33\) −3.13255e24 3.13255e24i −1.58371 1.58371i
\(34\) 2.58767e24i 0.811422i
\(35\) 2.72638e24 3.61270e24i 0.537648 0.712432i
\(36\) 1.63245e25 2.05116
\(37\) 1.50424e25 1.50424e25i 1.21924 1.21924i 0.251340 0.967899i \(-0.419129\pi\)
0.967899 0.251340i \(-0.0808711\pi\)
\(38\) 8.77074e24 + 8.77074e24i 0.463979 + 0.463979i
\(39\) 4.06711e25i 1.41988i
\(40\) 1.81015e25 + 1.36605e25i 0.421457 + 0.318059i
\(41\) 4.08942e25 0.641387 0.320693 0.947183i \(-0.396084\pi\)
0.320693 + 0.947183i \(0.396084\pi\)
\(42\) 1.43981e26 1.43981e26i 1.53574 1.53574i
\(43\) 5.01997e25 + 5.01997e25i 0.367456 + 0.367456i 0.866549 0.499093i \(-0.166333\pi\)
−0.499093 + 0.866549i \(0.666333\pi\)
\(44\) 3.74062e26i 1.89540i
\(45\) 5.97170e25 + 4.27104e26i 0.211202 + 1.51054i
\(46\) −9.20042e26 −2.28919
\(47\) 4.23386e26 4.23386e26i 0.746742 0.746742i −0.227124 0.973866i \(-0.572932\pi\)
0.973866 + 0.227124i \(0.0729322\pi\)
\(48\) −4.78517e26 4.78517e26i −0.602611 0.602611i
\(49\) 2.24614e26i 0.203376i
\(50\) −1.13567e27 + 2.04198e27i −0.744275 + 1.33823i
\(51\) 1.76387e27 0.842062
\(52\) −2.42829e27 + 2.42829e27i −0.849665 + 0.849665i
\(53\) −2.94663e27 2.94663e27i −0.760171 0.760171i 0.216182 0.976353i \(-0.430640\pi\)
−0.976353 + 0.216182i \(0.930640\pi\)
\(54\) 6.68128e27i 1.27809i
\(55\) 9.78674e27 1.36837e27i 1.39584 0.195164i
\(56\) 4.40831e27 0.471263
\(57\) −5.97851e27 + 5.97851e27i −0.481499 + 0.481499i
\(58\) −3.32197e28 3.32197e28i −2.02557 2.02557i
\(59\) 8.62486e27i 0.400055i −0.979790 0.200028i \(-0.935897\pi\)
0.979790 0.200028i \(-0.0641032\pi\)
\(60\) −3.63165e28 + 4.81226e28i −1.28731 + 1.70580i
\(61\) 1.77137e28 0.481983 0.240992 0.970527i \(-0.422527\pi\)
0.240992 + 0.970527i \(0.422527\pi\)
\(62\) −2.08772e27 + 2.08772e27i −0.0437930 + 0.0437930i
\(63\) 5.92786e28 + 5.92786e28i 0.962607 + 0.962607i
\(64\) 1.21198e29i 1.52973i
\(65\) −7.24154e28 5.46494e28i −0.713210 0.538235i
\(66\) 4.44577e29 3.42960
\(67\) −2.48410e28 + 2.48410e28i −0.150651 + 0.150651i −0.778409 0.627758i \(-0.783973\pi\)
0.627758 + 0.778409i \(0.283973\pi\)
\(68\) 1.05313e29 + 1.05313e29i 0.503894 + 0.503894i
\(69\) 6.27141e29i 2.37563i
\(70\) 6.28941e28 + 4.49827e29i 0.189252 + 1.35356i
\(71\) 3.63249e29 0.871106 0.435553 0.900163i \(-0.356553\pi\)
0.435553 + 0.900163i \(0.356553\pi\)
\(72\) −2.97015e29 + 2.97015e29i −0.569455 + 0.569455i
\(73\) −5.94905e29 5.94905e29i −0.914707 0.914707i 0.0819307 0.996638i \(-0.473891\pi\)
−0.996638 + 0.0819307i \(0.973891\pi\)
\(74\) 2.13484e30i 2.64033i
\(75\) −1.39190e30 7.74124e29i −1.38876 0.772379i
\(76\) −7.13902e29 −0.576263
\(77\) 1.35832e30 1.35832e30i 0.889510 0.889510i
\(78\) −2.88605e30 2.88605e30i −1.53741 1.53741i
\(79\) 1.45813e30i 0.633522i 0.948505 + 0.316761i \(0.102595\pi\)
−0.948505 + 0.316761i \(0.897405\pi\)
\(80\) 1.49499e30 2.09027e29i 0.531126 0.0742612i
\(81\) 6.82928e29 0.198891
\(82\) −2.90189e30 + 2.90189e30i −0.694479 + 0.694479i
\(83\) 3.27935e30 + 3.27935e30i 0.646455 + 0.646455i 0.952134 0.305680i \(-0.0988837\pi\)
−0.305680 + 0.952134i \(0.598884\pi\)
\(84\) 1.17195e31i 1.90739i
\(85\) −2.37010e30 + 3.14060e30i −0.319201 + 0.422970i
\(86\) −7.12443e30 −0.795746
\(87\) 2.26440e31 2.26440e31i 2.10206 2.10206i
\(88\) 6.80587e30 + 6.80587e30i 0.526212 + 0.526212i
\(89\) 8.42590e29i 0.0543721i −0.999630 0.0271861i \(-0.991345\pi\)
0.999630 0.0271861i \(-0.00865466\pi\)
\(90\) −3.45452e31 2.60701e31i −1.86427 1.40690i
\(91\) −1.76356e31 −0.797494
\(92\) 3.74438e31 3.74438e31i 1.42159 1.42159i
\(93\) −1.42308e30 1.42308e30i −0.0454467 0.0454467i
\(94\) 6.00877e31i 1.61711i
\(95\) −2.61155e30 1.86781e31i −0.0593362 0.424380i
\(96\) 1.11576e32 2.14404
\(97\) −3.56654e30 + 3.56654e30i −0.0580630 + 0.0580630i −0.735542 0.677479i \(-0.763072\pi\)
0.677479 + 0.735542i \(0.263072\pi\)
\(98\) −1.59388e31 1.59388e31i −0.220211 0.220211i
\(99\) 1.83037e32i 2.14969i
\(100\) −3.68849e31 1.29324e32i −0.368849 1.29324i
\(101\) 1.21714e32 1.03800 0.519001 0.854774i \(-0.326304\pi\)
0.519001 + 0.854774i \(0.326304\pi\)
\(102\) −1.25166e32 + 1.25166e32i −0.911765 + 0.911765i
\(103\) −1.10412e32 1.10412e32i −0.688049 0.688049i 0.273752 0.961800i \(-0.411735\pi\)
−0.961800 + 0.273752i \(0.911735\pi\)
\(104\) 8.83631e31i 0.471778i
\(105\) −3.06621e32 + 4.28713e31i −1.40467 + 0.196399i
\(106\) 4.18191e32 1.64619
\(107\) 8.71531e31 8.71531e31i 0.295218 0.295218i −0.543920 0.839137i \(-0.683060\pi\)
0.839137 + 0.543920i \(0.183060\pi\)
\(108\) −2.71915e32 2.71915e32i −0.793693 0.793693i
\(109\) 2.81745e32i 0.709631i 0.934936 + 0.354816i \(0.115456\pi\)
−0.934936 + 0.354816i \(0.884544\pi\)
\(110\) −5.97375e32 + 7.91576e32i −1.30006 + 1.72270i
\(111\) −1.45520e33 −2.74003
\(112\) 2.07492e32 2.07492e32i 0.338464 0.338464i
\(113\) −9.12025e31 9.12025e31i −0.129048 0.129048i 0.639633 0.768681i \(-0.279086\pi\)
−0.768681 + 0.639633i \(0.779086\pi\)
\(114\) 8.48481e32i 1.04271i
\(115\) 1.11663e33 + 8.42684e32i 1.19329 + 0.900533i
\(116\) 2.70395e33 2.51577
\(117\) 1.18822e33 1.18822e33i 0.963658 0.963658i
\(118\) 6.12028e32 + 6.12028e32i 0.433171 + 0.433171i
\(119\) 7.64841e32i 0.472955i
\(120\) −2.14807e32 1.53633e33i −0.116185 0.830967i
\(121\) 2.08277e33 0.986451
\(122\) −1.25698e33 + 1.25698e33i −0.521880 + 0.521880i
\(123\) −1.97805e33 1.97805e33i −0.720702 0.720702i
\(124\) 1.69932e32i 0.0543911i
\(125\) 3.24863e33 1.43812e33i 0.914408 0.404794i
\(126\) −8.41292e33 −2.08458
\(127\) −9.03506e32 + 9.03506e32i −0.197275 + 0.197275i −0.798831 0.601556i \(-0.794548\pi\)
0.601556 + 0.798831i \(0.294548\pi\)
\(128\) 3.64665e33 + 3.64665e33i 0.702320 + 0.702320i
\(129\) 4.85632e33i 0.825794i
\(130\) 9.01663e33 1.26069e33i 1.35504 0.189459i
\(131\) −8.72300e33 −1.15965 −0.579823 0.814743i \(-0.696878\pi\)
−0.579823 + 0.814743i \(0.696878\pi\)
\(132\) −1.80934e34 + 1.80934e34i −2.12979 + 2.12979i
\(133\) −2.59237e33 2.59237e33i −0.270440 0.270440i
\(134\) 3.52548e33i 0.326243i
\(135\) 6.11951e33 8.10891e33i 0.502778 0.666227i
\(136\) −3.83224e33 −0.279788
\(137\) 1.72380e34 1.72380e34i 1.11933 1.11933i 0.127489 0.991840i \(-0.459308\pi\)
0.991840 0.127489i \(-0.0406918\pi\)
\(138\) 4.45024e34 + 4.45024e34i 2.57228 + 2.57228i
\(139\) 1.44247e34i 0.742796i −0.928474 0.371398i \(-0.878879\pi\)
0.928474 0.371398i \(-0.121121\pi\)
\(140\) −2.08667e34 1.57474e34i −0.958087 0.723035i
\(141\) −4.09583e34 −1.67817
\(142\) −2.57765e34 + 2.57765e34i −0.943214 + 0.943214i
\(143\) −2.72271e34 2.72271e34i −0.890481 0.890481i
\(144\) 2.79601e34i 0.817972i
\(145\) 9.89139e33 + 7.07445e34i 0.259041 + 1.85270i
\(146\) 8.44300e34 1.98085
\(147\) 1.08646e34 1.08646e34i 0.228526 0.228526i
\(148\) −8.68836e34 8.68836e34i −1.63965 1.63965i
\(149\) 1.10494e35i 1.87223i −0.351691 0.936116i \(-0.614393\pi\)
0.351691 0.936116i \(-0.385607\pi\)
\(150\) 1.53703e35 4.38381e34i 2.34004 0.667408i
\(151\) −2.34941e34 −0.321609 −0.160804 0.986986i \(-0.551409\pi\)
−0.160804 + 0.986986i \(0.551409\pi\)
\(152\) 1.29891e34 1.29891e34i 0.159986 0.159986i
\(153\) −5.15321e34 5.15321e34i −0.571498 0.571498i
\(154\) 1.92775e35i 1.92628i
\(155\) 4.44600e33 6.21633e32i 0.0400555 0.00560050i
\(156\) 2.34913e35 1.90947
\(157\) 1.07137e34 1.07137e34i 0.0786218 0.0786218i −0.666702 0.745324i \(-0.732295\pi\)
0.745324 + 0.666702i \(0.232295\pi\)
\(158\) −1.03470e35 1.03470e35i −0.685963 0.685963i
\(159\) 2.85057e35i 1.70835i
\(160\) −1.49924e35 + 1.98663e35i −0.812741 + 1.07696i
\(161\) 2.71938e35 1.33431
\(162\) −4.84611e34 + 4.84611e34i −0.215354 + 0.215354i
\(163\) 6.59040e34 + 6.59040e34i 0.265405 + 0.265405i 0.827246 0.561840i \(-0.189906\pi\)
−0.561840 + 0.827246i \(0.689906\pi\)
\(164\) 2.36202e35i 0.862545i
\(165\) −5.39572e35 4.07197e35i −1.78775 1.34915i
\(166\) −4.65411e35 −1.39993
\(167\) −2.35707e35 + 2.35707e35i −0.644033 + 0.644033i −0.951545 0.307511i \(-0.900504\pi\)
0.307511 + 0.951545i \(0.400504\pi\)
\(168\) −2.13230e35 2.13230e35i −0.529541 0.529541i
\(169\) 8.92797e34i 0.201635i
\(170\) −5.46752e34 3.91044e35i −0.112359 0.803605i
\(171\) 3.49329e35 0.653577
\(172\) 2.89950e35 2.89950e35i 0.494160 0.494160i
\(173\) −4.05042e35 4.05042e35i −0.629162 0.629162i 0.318695 0.947857i \(-0.396755\pi\)
−0.947857 + 0.318695i \(0.896755\pi\)
\(174\) 3.21367e36i 4.55212i
\(175\) 3.35672e35 6.03550e35i 0.433817 0.780017i
\(176\) 6.40683e35 0.755858
\(177\) −4.17184e35 + 4.17184e35i −0.449527 + 0.449527i
\(178\) 5.97909e34 + 5.97909e34i 0.0588729 + 0.0588729i
\(179\) 8.24719e35i 0.742433i −0.928546 0.371217i \(-0.878941\pi\)
0.928546 0.371217i \(-0.121059\pi\)
\(180\) 2.46692e36 3.44921e35i 2.03140 0.284027i
\(181\) 1.90528e35 0.143582 0.0717911 0.997420i \(-0.477128\pi\)
0.0717911 + 0.997420i \(0.477128\pi\)
\(182\) 1.25144e36 1.25144e36i 0.863508 0.863508i
\(183\) −8.56811e35 8.56811e35i −0.541586 0.541586i
\(184\) 1.36254e36i 0.789342i
\(185\) 1.95534e36 2.59100e36i 1.03866 1.37632i
\(186\) 2.01966e35 0.0984172
\(187\) −1.18082e36 + 1.18082e36i −0.528101 + 0.528101i
\(188\) −2.44545e36 2.44545e36i −1.00423 1.00423i
\(189\) 1.97479e36i 0.744959i
\(190\) 1.51073e36 + 1.14010e36i 0.523757 + 0.395261i
\(191\) −3.03843e36 −0.968534 −0.484267 0.874920i \(-0.660914\pi\)
−0.484267 + 0.874920i \(0.660914\pi\)
\(192\) −5.86234e36 + 5.86234e36i −1.71890 + 1.71890i
\(193\) 2.73652e36 + 2.73652e36i 0.738382 + 0.738382i 0.972265 0.233883i \(-0.0751431\pi\)
−0.233883 + 0.972265i \(0.575143\pi\)
\(194\) 5.06170e35i 0.125739i
\(195\) 8.59342e35 + 6.14613e36i 0.196613 + 1.40620i
\(196\) 1.29735e36 0.273502
\(197\) 4.35345e36 4.35345e36i 0.846008 0.846008i −0.143625 0.989632i \(-0.545876\pi\)
0.989632 + 0.143625i \(0.0458758\pi\)
\(198\) −1.29885e37 1.29885e37i −2.32764 2.32764i
\(199\) 2.58518e36i 0.427406i 0.976899 + 0.213703i \(0.0685526\pi\)
−0.976899 + 0.213703i \(0.931447\pi\)
\(200\) 3.02409e36 + 1.68188e36i 0.461439 + 0.256635i
\(201\) 2.40312e36 0.338562
\(202\) −8.63693e36 + 8.63693e36i −1.12393 + 1.12393i
\(203\) 9.81876e36 + 9.81876e36i 1.18065 + 1.18065i
\(204\) 1.01880e37i 1.13241i
\(205\) 6.17985e36 8.64057e35i 0.635208 0.0888138i
\(206\) 1.56698e37 1.49001
\(207\) −1.83221e37 + 1.83221e37i −1.61232 + 1.61232i
\(208\) −4.15911e36 4.15911e36i −0.338834 0.338834i
\(209\) 8.00459e36i 0.603946i
\(210\) 1.87159e37 2.48003e37i 1.30829 1.73360i
\(211\) −7.07614e36 −0.458434 −0.229217 0.973375i \(-0.573617\pi\)
−0.229217 + 0.973375i \(0.573617\pi\)
\(212\) −1.70195e37 + 1.70195e37i −1.02229 + 1.02229i
\(213\) −1.75704e37 1.75704e37i −0.978830 0.978830i
\(214\) 1.23689e37i 0.639310i
\(215\) 8.64674e36 + 6.52540e36i 0.414799 + 0.313034i
\(216\) 9.89470e36 0.440700
\(217\) 6.17069e35 6.17069e35i 0.0255257 0.0255257i
\(218\) −1.99929e37 1.99929e37i −0.768372 0.768372i
\(219\) 5.75511e37i 2.05565i
\(220\) −7.90359e36 5.65275e37i −0.262459 1.87714i
\(221\) 1.53310e37 0.473471
\(222\) 1.03262e38 1.03262e38i 2.96684 2.96684i
\(223\) 2.34997e37 + 2.34997e37i 0.628324 + 0.628324i 0.947646 0.319322i \(-0.103455\pi\)
−0.319322 + 0.947646i \(0.603455\pi\)
\(224\) 4.83812e37i 1.20423i
\(225\) 1.80486e37 + 6.32812e37i 0.418334 + 1.46675i
\(226\) 1.29436e37 0.279461
\(227\) 1.03786e37 1.03786e37i 0.208797 0.208797i −0.594959 0.803756i \(-0.702832\pi\)
0.803756 + 0.594959i \(0.202832\pi\)
\(228\) 3.45314e37 + 3.45314e37i 0.647526 + 0.647526i
\(229\) 7.21842e37i 1.26204i −0.775765 0.631022i \(-0.782636\pi\)
0.775765 0.631022i \(-0.217364\pi\)
\(230\) −1.39035e38 + 1.94397e37i −2.26714 + 0.316988i
\(231\) −1.31404e38 −1.99902
\(232\) −4.91970e37 + 4.91970e37i −0.698442 + 0.698442i
\(233\) −2.13484e37 2.13484e37i −0.282925 0.282925i 0.551349 0.834274i \(-0.314113\pi\)
−0.834274 + 0.551349i \(0.814113\pi\)
\(234\) 1.68634e38i 2.08685i
\(235\) 5.50354e37 7.29269e37i 0.636146 0.842951i
\(236\) −4.98165e37 −0.537999
\(237\) 7.05295e37 7.05295e37i 0.711865 0.711865i
\(238\) −5.42738e37 5.42738e37i −0.512105 0.512105i
\(239\) 6.82182e37i 0.601913i 0.953638 + 0.300957i \(0.0973059\pi\)
−0.953638 + 0.300957i \(0.902694\pi\)
\(240\) −8.24231e37 6.22018e37i −0.680251 0.513362i
\(241\) 1.27871e38 0.987411 0.493705 0.869629i \(-0.335642\pi\)
0.493705 + 0.869629i \(0.335642\pi\)
\(242\) −1.47795e38 + 1.47795e38i −1.06811 + 1.06811i
\(243\) −1.20268e38 1.20268e38i −0.813674 0.813674i
\(244\) 1.02313e38i 0.648177i
\(245\) 4.74589e36 + 3.39432e37i 0.0281618 + 0.201417i
\(246\) 2.80729e38 1.56072
\(247\) −5.19633e37 + 5.19633e37i −0.270736 + 0.270736i
\(248\) 3.09182e36 + 3.09182e36i 0.0151004 + 0.0151004i
\(249\) 3.17244e38i 1.45279i
\(250\) −1.28475e38 + 3.32576e38i −0.551798 + 1.42840i
\(251\) 3.15945e38 1.27301 0.636505 0.771272i \(-0.280379\pi\)
0.636505 + 0.771272i \(0.280379\pi\)
\(252\) 3.42389e38 3.42389e38i 1.29453 1.29453i
\(253\) 4.19837e38 + 4.19837e38i 1.48988 + 1.48988i
\(254\) 1.28227e38i 0.427209i
\(255\) 2.66552e38 3.72690e37i 0.833950 0.116602i
\(256\) 3.00172e36 0.00882125
\(257\) −4.52206e38 + 4.52206e38i −1.24855 + 1.24855i −0.292190 + 0.956360i \(0.594384\pi\)
−0.956360 + 0.292190i \(0.905616\pi\)
\(258\) 3.44608e38 + 3.44608e38i 0.894151 + 0.894151i
\(259\) 6.30996e38i 1.53897i
\(260\) −3.15651e38 + 4.18266e38i −0.723825 + 0.959134i
\(261\) −1.32310e39 −2.85329
\(262\) 6.18992e38 6.18992e38i 1.25564 1.25564i
\(263\) 4.78155e35 + 4.78155e35i 0.000912592 + 0.000912592i 0.707563 0.706650i \(-0.249795\pi\)
−0.706650 + 0.707563i \(0.749795\pi\)
\(264\) 6.58400e38i 1.18257i
\(265\) −5.07548e38 3.83029e38i −0.858110 0.647586i
\(266\) 3.67914e38 0.585653
\(267\) −4.07561e37 + 4.07561e37i −0.0610959 + 0.0610959i
\(268\) 1.43480e38 + 1.43480e38i 0.202598 + 0.202598i
\(269\) 1.31262e39i 1.74623i −0.487516 0.873114i \(-0.662097\pi\)
0.487516 0.873114i \(-0.337903\pi\)
\(270\) 1.41169e38 + 1.00966e39i 0.176978 + 1.26577i
\(271\) −1.14469e39 −1.35263 −0.676313 0.736615i \(-0.736423\pi\)
−0.676313 + 0.736615i \(0.736423\pi\)
\(272\) −1.80377e38 + 1.80377e38i −0.200946 + 0.200946i
\(273\) 8.53033e38 + 8.53033e38i 0.896115 + 0.896115i
\(274\) 2.44645e39i 2.42397i
\(275\) 1.45004e39 4.13570e38i 1.35537 0.386568i
\(276\) −3.62232e39 −3.19478
\(277\) −1.10625e39 + 1.10625e39i −0.920821 + 0.920821i −0.997087 0.0762666i \(-0.975700\pi\)
0.0762666 + 0.997087i \(0.475700\pi\)
\(278\) 1.02359e39 + 1.02359e39i 0.804282 + 0.804282i
\(279\) 8.31516e37i 0.0616884i
\(280\) 6.66175e38 9.31435e37i 0.466723 0.0652566i
\(281\) 5.81623e38 0.384894 0.192447 0.981307i \(-0.438358\pi\)
0.192447 + 0.981307i \(0.438358\pi\)
\(282\) 2.90644e39 2.90644e39i 1.81709 1.81709i
\(283\) −7.96460e37 7.96460e37i −0.0470523 0.0470523i 0.683189 0.730241i \(-0.260592\pi\)
−0.730241 + 0.683189i \(0.760592\pi\)
\(284\) 2.09810e39i 1.17147i
\(285\) −7.77140e38 + 1.02978e39i −0.410187 + 0.543534i
\(286\) 3.86412e39 1.92839
\(287\) 8.57713e38 8.57713e38i 0.404792 0.404792i
\(288\) −3.25974e39 3.25974e39i −1.45514 1.45514i
\(289\) 1.70302e39i 0.719207i
\(290\) −5.72199e39 4.31819e39i −2.28654 1.72557i
\(291\) 3.45027e38 0.130487
\(292\) −3.43613e39 + 3.43613e39i −1.23011 + 1.23011i
\(293\) 2.19598e39 + 2.19598e39i 0.744297 + 0.744297i 0.973402 0.229105i \(-0.0735799\pi\)
−0.229105 + 0.973402i \(0.573580\pi\)
\(294\) 1.54192e39i 0.494885i
\(295\) −1.82235e38 1.30337e39i −0.0553963 0.396201i
\(296\) 3.16161e39 0.910418
\(297\) 3.04883e39 3.04883e39i 0.831821 0.831821i
\(298\) 7.84078e39 + 7.84078e39i 2.02721 + 2.02721i
\(299\) 5.45090e39i 1.33576i
\(300\) −4.47128e39 + 8.03953e39i −1.03870 + 1.86763i
\(301\) 2.10577e39 0.463818
\(302\) 1.66716e39 1.66716e39i 0.348231 0.348231i
\(303\) −5.88730e39 5.88730e39i −1.16636 1.16636i
\(304\) 1.22275e39i 0.229806i
\(305\) 2.67686e39 3.74274e38i 0.477340 0.0667409i
\(306\) 7.31353e39 1.23761
\(307\) 2.17654e39 2.17654e39i 0.349585 0.349585i −0.510370 0.859955i \(-0.670492\pi\)
0.859955 + 0.510370i \(0.170492\pi\)
\(308\) −7.84556e39 7.84556e39i −1.19622 1.19622i
\(309\) 1.06812e40i 1.54627i
\(310\) −2.71380e38 + 3.59603e38i −0.0373071 + 0.0494352i
\(311\) −6.97928e39 −0.911264 −0.455632 0.890168i \(-0.650587\pi\)
−0.455632 + 0.890168i \(0.650587\pi\)
\(312\) −4.27413e39 + 4.27413e39i −0.530119 + 0.530119i
\(313\) −4.49442e39 4.49442e39i −0.529620 0.529620i 0.390839 0.920459i \(-0.372185\pi\)
−0.920459 + 0.390839i \(0.872185\pi\)
\(314\) 1.52050e39i 0.170260i
\(315\) 1.02106e40 + 7.70555e39i 1.08663 + 0.820040i
\(316\) 8.42202e39 0.851968
\(317\) −4.08831e39 + 4.08831e39i −0.393184 + 0.393184i −0.875821 0.482637i \(-0.839679\pi\)
0.482637 + 0.875821i \(0.339679\pi\)
\(318\) −2.02279e40 2.02279e40i −1.84977 1.84977i
\(319\) 3.03179e40i 2.63662i
\(320\) −2.56080e39 1.83152e40i −0.211824 1.51500i
\(321\) −8.43119e39 −0.663450
\(322\) −1.92969e40 + 1.92969e40i −1.44476 + 1.44476i
\(323\) 2.25360e39 + 2.25360e39i 0.160560 + 0.160560i
\(324\) 3.94454e39i 0.267471i
\(325\) −1.20980e40 6.72843e39i −0.780869 0.434290i
\(326\) −9.35321e39 −0.574750
\(327\) 1.36280e40 1.36280e40i 0.797386 0.797386i
\(328\) 4.29757e39 + 4.29757e39i 0.239465 + 0.239465i
\(329\) 1.77602e40i 0.942567i
\(330\) 6.71836e40 9.39351e39i 3.39657 0.474903i
\(331\) −1.94098e39 −0.0934915 −0.0467458 0.998907i \(-0.514885\pi\)
−0.0467458 + 0.998907i \(0.514885\pi\)
\(332\) 1.89413e40 1.89413e40i 0.869360 0.869360i
\(333\) 4.25142e40 + 4.25142e40i 1.85963 + 1.85963i
\(334\) 3.34519e40i 1.39469i
\(335\) −3.22906e39 + 4.27879e39i −0.128339 + 0.170061i
\(336\) −2.00728e40 −0.760640
\(337\) −9.81357e39 + 9.81357e39i −0.354608 + 0.354608i −0.861821 0.507213i \(-0.830676\pi\)
0.507213 + 0.861821i \(0.330676\pi\)
\(338\) 6.33536e39 + 6.33536e39i 0.218325 + 0.218325i
\(339\) 8.82293e39i 0.290013i
\(340\) 1.81399e40 + 1.36895e40i 0.568815 + 0.429265i
\(341\) 1.90535e39 0.0570040
\(342\) −2.47887e40 + 2.47887e40i −0.707678 + 0.707678i
\(343\) 2.78753e40 + 2.78753e40i 0.759474 + 0.759474i
\(344\) 1.05510e40i 0.274383i
\(345\) −1.32509e40 9.47722e40i −0.328958 2.35275i
\(346\) 5.74843e40 1.36249
\(347\) −4.20820e40 + 4.20820e40i −0.952412 + 0.952412i −0.998918 0.0465061i \(-0.985191\pi\)
0.0465061 + 0.998918i \(0.485191\pi\)
\(348\) −1.30790e41 1.30790e41i −2.82687 2.82687i
\(349\) 1.27846e40i 0.263924i 0.991255 + 0.131962i \(0.0421277\pi\)
−0.991255 + 0.131962i \(0.957872\pi\)
\(350\) 1.90089e40 + 6.66480e40i 0.374858 + 1.31431i
\(351\) −3.95841e40 −0.745773
\(352\) −7.46944e40 + 7.46944e40i −1.34464 + 1.34464i
\(353\) −2.01050e40 2.01050e40i −0.345867 0.345867i 0.512701 0.858568i \(-0.328645\pi\)
−0.858568 + 0.512701i \(0.828645\pi\)
\(354\) 5.92076e40i 0.973475i
\(355\) 5.48935e40 7.67512e39i 0.862714 0.120623i
\(356\) −4.86674e39 −0.0731203
\(357\) 3.69953e40 3.69953e40i 0.531442 0.531442i
\(358\) 5.85228e40 + 5.85228e40i 0.803890 + 0.803890i
\(359\) 5.41303e40i 0.711097i 0.934658 + 0.355549i \(0.115706\pi\)
−0.934658 + 0.355549i \(0.884294\pi\)
\(360\) −3.86087e40 + 5.11600e40i −0.485115 + 0.642822i
\(361\) 6.79216e40 0.816381
\(362\) −1.35200e40 + 1.35200e40i −0.155468 + 0.155468i
\(363\) −1.00744e41 1.00744e41i −1.10844 1.10844i
\(364\) 1.01862e41i 1.07248i
\(365\) −1.02471e41 7.73311e40i −1.03256 0.779234i
\(366\) 1.21600e41 1.17283
\(367\) 1.48355e41 1.48355e41i 1.36976 1.36976i 0.508980 0.860778i \(-0.330023\pi\)
0.860778 0.508980i \(-0.169977\pi\)
\(368\) 6.41328e40 + 6.41328e40i 0.566911 + 0.566911i
\(369\) 1.15579e41i 0.978266i
\(370\) 4.51072e40 + 3.22613e41i 0.365610 + 2.61489i
\(371\) −1.23605e41 −0.959518
\(372\) −8.21960e39 + 8.21960e39i −0.0611172 + 0.0611172i
\(373\) −1.53770e41 1.53770e41i −1.09529 1.09529i −0.994953 0.100342i \(-0.968006\pi\)
−0.100342 0.994953i \(-0.531994\pi\)
\(374\) 1.67584e41i 1.14363i
\(375\) −2.26698e41 8.75744e40i −1.48234 0.572634i
\(376\) 8.89873e40 0.557600
\(377\) 1.96814e41 1.96814e41i 1.18194 1.18194i
\(378\) 1.40133e41 + 1.40133e41i 0.806625 + 0.806625i
\(379\) 5.24978e40i 0.289677i 0.989455 + 0.144839i \(0.0462663\pi\)
−0.989455 + 0.144839i \(0.953734\pi\)
\(380\) −1.07883e41 + 1.50841e40i −0.570712 + 0.0797961i
\(381\) 8.74052e40 0.443341
\(382\) 2.15609e41 2.15609e41i 1.04871 1.04871i
\(383\) 2.58968e41 + 2.58968e41i 1.20800 + 1.20800i 0.971675 + 0.236321i \(0.0759417\pi\)
0.236321 + 0.971675i \(0.424058\pi\)
\(384\) 3.52777e41i 1.57834i
\(385\) 1.76567e41 2.33967e41i 0.757769 1.00411i
\(386\) −3.88371e41 −1.59901
\(387\) −1.41879e41 + 1.41879e41i −0.560458 + 0.560458i
\(388\) 2.06001e40 + 2.06001e40i 0.0780839 + 0.0780839i
\(389\) 9.10279e39i 0.0331117i 0.999863 + 0.0165558i \(0.00527013\pi\)
−0.999863 + 0.0165558i \(0.994730\pi\)
\(390\) −4.97114e41 3.75155e41i −1.73549 1.30972i
\(391\) −2.36401e41 −0.792175
\(392\) −2.36047e40 + 2.36047e40i −0.0759314 + 0.0759314i
\(393\) 4.21932e41 + 4.21932e41i 1.30305 + 1.30305i
\(394\) 6.17850e41i 1.83208i
\(395\) 3.08089e40 + 2.20349e41i 0.0877247 + 0.627419i
\(396\) 1.05721e42 2.89093
\(397\) −2.71551e41 + 2.71551e41i −0.713186 + 0.713186i −0.967201 0.254014i \(-0.918249\pi\)
0.254014 + 0.967201i \(0.418249\pi\)
\(398\) −1.83446e41 1.83446e41i −0.462786 0.462786i
\(399\) 2.50786e41i 0.607767i
\(400\) 2.21503e41 6.31754e40i 0.515726 0.147092i
\(401\) −3.41277e41 −0.763479 −0.381739 0.924270i \(-0.624675\pi\)
−0.381739 + 0.924270i \(0.624675\pi\)
\(402\) −1.70528e41 + 1.70528e41i −0.366588 + 0.366588i
\(403\) −1.23689e40 1.23689e40i −0.0255536 0.0255536i
\(404\) 7.03011e41i 1.39592i
\(405\) 1.03203e41 1.44296e40i 0.196975 0.0275407i
\(406\) −1.39350e42 −2.55676
\(407\) 9.74178e41 9.74178e41i 1.71841 1.71841i
\(408\) 1.85365e41 + 1.85365e41i 0.314388 + 0.314388i
\(409\) 4.34442e41i 0.708532i 0.935145 + 0.354266i \(0.115269\pi\)
−0.935145 + 0.354266i \(0.884731\pi\)
\(410\) −3.77213e41 + 4.99842e41i −0.591623 + 0.783954i
\(411\) −1.66760e42 −2.51550
\(412\) −6.37729e41 + 6.37729e41i −0.925297 + 0.925297i
\(413\) −1.80897e41 1.80897e41i −0.252483 0.252483i
\(414\) 2.60031e42i 3.49156i
\(415\) 5.64858e41 + 4.26279e41i 0.729743 + 0.550711i
\(416\) 9.69785e41 1.20554
\(417\) −6.97722e41 + 6.97722e41i −0.834652 + 0.834652i
\(418\) 5.68013e41 + 5.68013e41i 0.653939 + 0.653939i
\(419\) 1.57134e42i 1.74118i −0.492006 0.870592i \(-0.663736\pi\)
0.492006 0.870592i \(-0.336264\pi\)
\(420\) 2.47622e41 + 1.77102e42i 0.264119 + 1.88901i
\(421\) 1.69437e41 0.173978 0.0869890 0.996209i \(-0.472275\pi\)
0.0869890 + 0.996209i \(0.472275\pi\)
\(422\) 5.02129e41 5.02129e41i 0.496382 0.496382i
\(423\) 1.19661e42 + 1.19661e42i 1.13896 + 1.13896i
\(424\) 6.19323e41i 0.567628i
\(425\) −2.91807e41 + 5.24679e41i −0.257556 + 0.463095i
\(426\) 2.49362e42 2.11971
\(427\) 3.71526e41 3.71526e41i 0.304189 0.304189i
\(428\) −5.03390e41 5.03390e41i −0.397012 0.397012i
\(429\) 2.63395e42i 2.00120i
\(430\) −1.07663e42 + 1.50533e41i −0.788080 + 0.110188i
\(431\) −2.44401e41 −0.172372 −0.0861860 0.996279i \(-0.527468\pi\)
−0.0861860 + 0.996279i \(0.527468\pi\)
\(432\) 4.65728e41 4.65728e41i 0.316513 0.316513i
\(433\) −3.70453e41 3.70453e41i −0.242620 0.242620i 0.575313 0.817933i \(-0.304880\pi\)
−0.817933 + 0.575313i \(0.804880\pi\)
\(434\) 8.75755e40i 0.0552773i
\(435\) 2.94346e42 3.90036e42i 1.79073 2.37288i
\(436\) 1.62734e42 0.954321
\(437\) 8.01264e41 8.01264e41i 0.452974 0.452974i
\(438\) −4.08388e42 4.08388e42i −2.22581 2.22581i
\(439\) 1.71000e42i 0.898596i −0.893382 0.449298i \(-0.851674\pi\)
0.893382 0.449298i \(-0.148326\pi\)
\(440\) 1.17229e42 + 8.84687e41i 0.594008 + 0.448277i
\(441\) −6.34825e41 −0.310196
\(442\) −1.08790e42 + 1.08790e42i −0.512664 + 0.512664i
\(443\) 1.78408e42 + 1.78408e42i 0.810876 + 0.810876i 0.984765 0.173889i \(-0.0556335\pi\)
−0.173889 + 0.984765i \(0.555634\pi\)
\(444\) 8.40512e42i 3.68482i
\(445\) −1.78032e40 1.27330e41i −0.00752899 0.0538483i
\(446\) −3.33511e42 −1.36067
\(447\) −5.34461e42 + 5.34461e42i −2.10376 + 2.10376i
\(448\) −2.54200e42 2.54200e42i −0.965444 0.965444i
\(449\) 2.22686e42i 0.816116i −0.912956 0.408058i \(-0.866206\pi\)
0.912956 0.408058i \(-0.133794\pi\)
\(450\) −5.77124e42 3.20975e42i −2.04112 1.13520i
\(451\) 2.64840e42 0.903980
\(452\) −5.26779e41 + 5.26779e41i −0.173545 + 0.173545i
\(453\) 1.13641e42 + 1.13641e42i 0.361380 + 0.361380i
\(454\) 1.47295e42i 0.452161i
\(455\) −2.66505e42 + 3.72624e41i −0.789811 + 0.110430i
\(456\) −1.25656e42 −0.359540
\(457\) 2.70839e42 2.70839e42i 0.748258 0.748258i −0.225894 0.974152i \(-0.572530\pi\)
0.974152 + 0.225894i \(0.0725303\pi\)
\(458\) 5.12225e42 + 5.12225e42i 1.36651 + 1.36651i
\(459\) 1.71673e42i 0.442281i
\(460\) 4.86728e42 6.44959e42i 1.21105 1.60475i
\(461\) 1.78848e42 0.429803 0.214902 0.976636i \(-0.431057\pi\)
0.214902 + 0.976636i \(0.431057\pi\)
\(462\) 9.32454e42 9.32454e42i 2.16449 2.16449i
\(463\) −2.40450e42 2.40450e42i −0.539173 0.539173i 0.384113 0.923286i \(-0.374507\pi\)
−0.923286 + 0.384113i \(0.874507\pi\)
\(464\) 4.63124e42i 1.00325i
\(465\) −2.45121e41 1.84984e41i −0.0513019 0.0387158i
\(466\) 3.02981e42 0.612690
\(467\) −5.73323e42 + 5.73323e42i −1.12029 + 1.12029i −0.128589 + 0.991698i \(0.541045\pi\)
−0.991698 + 0.128589i \(0.958955\pi\)
\(468\) −6.86307e42 6.86307e42i −1.29594 1.29594i
\(469\) 1.04203e42i 0.190158i
\(470\) 1.26960e42 + 9.08032e42i 0.223924 + 1.60153i
\(471\) −1.03644e42 −0.176689
\(472\) 9.06387e41 9.06387e41i 0.149363 0.149363i
\(473\) 3.25104e42 + 3.25104e42i 0.517898 + 0.517898i
\(474\) 1.00097e43i 1.54158i
\(475\) −7.89303e41 2.76742e42i −0.117529 0.412076i
\(476\) 4.41766e42 0.636035
\(477\) 8.32804e42 8.32804e42i 1.15944 1.15944i
\(478\) −4.84082e42 4.84082e42i −0.651738 0.651738i
\(479\) 1.59387e42i 0.207532i −0.994602 0.103766i \(-0.966911\pi\)
0.994602 0.103766i \(-0.0330893\pi\)
\(480\) 1.68612e43 2.35751e42i 2.12338 0.296888i
\(481\) −1.26481e43 −1.54065
\(482\) −9.07381e42 + 9.07381e42i −1.06915 + 1.06915i
\(483\) −1.31536e43 1.31536e43i −1.49931 1.49931i
\(484\) 1.20299e43i 1.32659i
\(485\) −4.63611e41 + 6.14327e41i −0.0494636 + 0.0655438i
\(486\) 1.70687e43 1.76206
\(487\) −6.72903e42 + 6.72903e42i −0.672186 + 0.672186i −0.958220 0.286034i \(-0.907663\pi\)
0.286034 + 0.958220i \(0.407663\pi\)
\(488\) 1.86153e42 + 1.86153e42i 0.179951 + 0.179951i
\(489\) 6.37555e42i 0.596452i
\(490\) −2.74541e42 2.07187e42i −0.248582 0.187596i
\(491\) 6.77920e42 0.594120 0.297060 0.954859i \(-0.403994\pi\)
0.297060 + 0.954859i \(0.403994\pi\)
\(492\) −1.14251e43 + 1.14251e43i −0.969209 + 0.969209i
\(493\) −8.53566e42 8.53566e42i −0.700949 0.700949i
\(494\) 7.37472e42i 0.586292i
\(495\) 3.86741e42 + 2.76602e43i 0.297671 + 2.12898i
\(496\) 2.91054e41 0.0216904
\(497\) 7.61877e42 7.61877e42i 0.549772 0.549772i
\(498\) 2.25119e43 + 2.25119e43i 1.57305 + 1.57305i
\(499\) 9.54221e42i 0.645714i −0.946448 0.322857i \(-0.895357\pi\)
0.946448 0.322857i \(-0.104643\pi\)
\(500\) −8.30646e42 1.87638e43i −0.544372 1.22971i
\(501\) 2.28023e43 1.44735
\(502\) −2.24197e43 + 2.24197e43i −1.37839 + 1.37839i
\(503\) 1.48419e43 + 1.48419e43i 0.883898 + 0.883898i 0.993928 0.110030i \(-0.0350947\pi\)
−0.110030 + 0.993928i \(0.535095\pi\)
\(504\) 1.24592e43i 0.718788i
\(505\) 1.83932e43 2.57170e42i 1.02800 0.143734i
\(506\) −5.95840e43 −3.22642
\(507\) −4.31846e42 + 4.31846e42i −0.226569 + 0.226569i
\(508\) 5.21858e42 + 5.21858e42i 0.265298 + 0.265298i
\(509\) 3.08574e43i 1.52011i −0.649860 0.760054i \(-0.725173\pi\)
0.649860 0.760054i \(-0.274827\pi\)
\(510\) −1.62702e43 + 2.15594e43i −0.776728 + 1.02924i
\(511\) −2.49550e43 −1.15458
\(512\) −1.58753e43 + 1.58753e43i −0.711871 + 0.711871i
\(513\) −5.81873e42 5.81873e42i −0.252901 0.252901i
\(514\) 6.41778e43i 2.70380i
\(515\) −1.90181e43 1.43523e43i −0.776696 0.586145i
\(516\) −2.80497e43 −1.11054
\(517\) 2.74194e43 2.74194e43i 1.05247 1.05247i
\(518\) 4.47760e43 + 4.47760e43i 1.66636 + 1.66636i
\(519\) 3.91838e43i 1.41393i
\(520\) −1.86703e42 1.33533e43i −0.0653278 0.467233i
\(521\) 3.26653e43 1.10837 0.554183 0.832395i \(-0.313031\pi\)
0.554183 + 0.832395i \(0.313031\pi\)
\(522\) 9.38886e43 9.38886e43i 3.08947 3.08947i
\(523\) −6.61183e42 6.61183e42i −0.211006 0.211006i 0.593689 0.804695i \(-0.297671\pi\)
−0.804695 + 0.593689i \(0.797671\pi\)
\(524\) 5.03834e43i 1.55951i
\(525\) −4.54302e43 + 1.29573e43i −1.36394 + 0.389013i
\(526\) −6.78606e40 −0.00197627
\(527\) −5.36431e41 + 5.36431e41i −0.0151546 + 0.0151546i
\(528\) −3.09898e43 3.09898e43i −0.849330 0.849330i
\(529\) 4.64430e43i 1.23489i
\(530\) 6.31961e43 8.83599e42i 1.63033 0.227951i
\(531\) 2.43764e43 0.610179
\(532\) −1.49733e43 + 1.49733e43i −0.363691 + 0.363691i
\(533\) −1.71926e43 1.71926e43i −0.405234 0.405234i
\(534\) 5.78418e42i 0.132307i
\(535\) 1.13289e43 1.50119e43i 0.251494 0.333253i
\(536\) −5.22109e42 −0.112493
\(537\) −3.98916e43 + 3.98916e43i −0.834244 + 0.834244i
\(538\) 9.31444e43 + 9.31444e43i 1.89078 + 1.89078i
\(539\) 1.45465e43i 0.286641i
\(540\) −4.68365e43 3.53459e43i −0.895951 0.676143i
\(541\) 6.87486e43 1.27676 0.638378 0.769723i \(-0.279606\pi\)
0.638378 + 0.769723i \(0.279606\pi\)
\(542\) 8.12279e43 8.12279e43i 1.46459 1.46459i
\(543\) −9.21582e42 9.21582e42i −0.161338 0.161338i
\(544\) 4.20588e43i 0.714948i
\(545\) 5.95302e42 + 4.25768e43i 0.0982637 + 0.702795i
\(546\) −1.21064e44 −1.94058
\(547\) −3.23477e43 + 3.23477e43i −0.503554 + 0.503554i −0.912541 0.408986i \(-0.865882\pi\)
0.408986 + 0.912541i \(0.365882\pi\)
\(548\) −9.95654e43 9.95654e43i −1.50529 1.50529i
\(549\) 5.00641e43i 0.735138i
\(550\) −7.35488e43 + 1.32243e44i −1.04899 + 1.88613i
\(551\) 5.78620e43 0.801619
\(552\) 6.59063e43 6.59063e43i 0.886955 0.886955i
\(553\) 3.05827e43 + 3.05827e43i 0.399828 + 0.399828i
\(554\) 1.57000e44i 1.99409i
\(555\) −2.19907e44 + 3.07470e43i −2.71363 + 0.379416i
\(556\) −8.33159e43 −0.998921
\(557\) −3.13296e43 + 3.13296e43i −0.364983 + 0.364983i −0.865644 0.500661i \(-0.833090\pi\)
0.500661 + 0.865644i \(0.333090\pi\)
\(558\) −5.90051e42 5.90051e42i −0.0667947 0.0667947i
\(559\) 4.22095e43i 0.464324i
\(560\) 2.69716e43 3.57399e43i 0.288336 0.382072i
\(561\) 1.14232e44 1.18681
\(562\) −4.12725e43 + 4.12725e43i −0.416754 + 0.416754i
\(563\) 6.92248e42 + 6.92248e42i 0.0679403 + 0.0679403i 0.740260 0.672320i \(-0.234702\pi\)
−0.672320 + 0.740260i \(0.734702\pi\)
\(564\) 2.36572e44i 2.25683i
\(565\) −1.57094e43 1.18553e43i −0.145674 0.109935i
\(566\) 1.13035e43 0.101894
\(567\) 1.43237e43 1.43237e43i 0.125524 0.125524i
\(568\) 3.81739e43 + 3.81739e43i 0.325232 + 0.325232i
\(569\) 1.60795e44i 1.33192i −0.745989 0.665959i \(-0.768023\pi\)
0.745989 0.665959i \(-0.231977\pi\)
\(570\) −1.79276e43 1.28221e44i −0.144386 1.03267i
\(571\) 1.07925e43 0.0845171 0.0422585 0.999107i \(-0.486545\pi\)
0.0422585 + 0.999107i \(0.486545\pi\)
\(572\) −1.57262e44 + 1.57262e44i −1.19753 + 1.19753i
\(573\) 1.46969e44 + 1.46969e44i 1.08831 + 1.08831i
\(574\) 1.21728e44i 0.876598i
\(575\) 1.86548e44 + 1.03751e44i 1.30649 + 0.726621i
\(576\) 3.42541e44 2.33320
\(577\) −4.97328e43 + 4.97328e43i −0.329480 + 0.329480i −0.852389 0.522908i \(-0.824847\pi\)
0.522908 + 0.852389i \(0.324847\pi\)
\(578\) −1.20848e44 1.20848e44i −0.778741 0.778741i
\(579\) 2.64731e44i 1.65939i
\(580\) 4.08615e44 5.71319e43i 2.49153 0.348362i
\(581\) 1.37562e44 0.815981
\(582\) −2.44835e43 + 2.44835e43i −0.141288 + 0.141288i
\(583\) −1.90830e44 1.90830e44i −1.07140 1.07140i
\(584\) 1.25037e44i 0.683021i
\(585\) 1.54455e44 2.04667e44i 0.820935 1.08781i
\(586\) −3.11657e44 −1.61181
\(587\) −2.76561e43 + 2.76561e43i −0.139182 + 0.139182i −0.773265 0.634083i \(-0.781378\pi\)
0.634083 + 0.773265i \(0.281378\pi\)
\(588\) −6.27530e43 6.27530e43i −0.307325 0.307325i
\(589\) 3.63639e42i 0.0173311i
\(590\) 1.05420e44 + 7.95568e43i 0.488979 + 0.369016i
\(591\) −4.21153e44 −1.90125
\(592\) 1.48812e44 1.48812e44i 0.653868 0.653868i
\(593\) −1.50406e44 1.50406e44i −0.643264 0.643264i 0.308092 0.951356i \(-0.400309\pi\)
−0.951356 + 0.308092i \(0.900309\pi\)
\(594\) 4.32695e44i 1.80135i
\(595\) 1.61604e43 + 1.15581e44i 0.0654908 + 0.468399i
\(596\) −6.38207e44 −2.51780
\(597\) 1.25045e44 1.25045e44i 0.480261 0.480261i
\(598\) 3.86801e44 + 3.86801e44i 1.44633 + 1.44633i
\(599\) 3.84482e44i 1.39974i 0.714270 + 0.699870i \(0.246759\pi\)
−0.714270 + 0.699870i \(0.753241\pi\)
\(600\) −6.49224e43 2.27628e44i −0.230131 0.806874i
\(601\) −1.63936e44 −0.565825 −0.282912 0.959146i \(-0.591301\pi\)
−0.282912 + 0.959146i \(0.591301\pi\)
\(602\) −1.49427e44 + 1.49427e44i −0.502211 + 0.502211i
\(603\) −7.02080e43 7.02080e43i −0.229779 0.229779i
\(604\) 1.35700e44i 0.432503i
\(605\) 3.14744e44 4.40071e43i 0.976948 0.136595i
\(606\) 8.35536e44 2.52583
\(607\) 1.04371e43 1.04371e43i 0.0307298 0.0307298i −0.691575 0.722305i \(-0.743083\pi\)
0.722305 + 0.691575i \(0.243083\pi\)
\(608\) 1.42555e44 + 1.42555e44i 0.408814 + 0.408814i
\(609\) 9.49867e44i 2.65330i
\(610\) −1.63393e44 + 2.16511e44i −0.444587 + 0.589118i
\(611\) −3.55997e44 −0.943597
\(612\) −2.97646e44 + 2.97646e44i −0.768558 + 0.768558i
\(613\) 5.96306e43 + 5.96306e43i 0.150003 + 0.150003i 0.778120 0.628116i \(-0.216174\pi\)
−0.628116 + 0.778120i \(0.716174\pi\)
\(614\) 3.08898e44i 0.757044i
\(615\) −3.40714e44 2.57125e44i −0.813556 0.613963i
\(616\) 2.85492e44 0.664206
\(617\) −3.56284e44 + 3.56284e44i −0.807670 + 0.807670i −0.984281 0.176611i \(-0.943487\pi\)
0.176611 + 0.984281i \(0.443487\pi\)
\(618\) −7.57949e44 7.57949e44i −1.67427 1.67427i
\(619\) 3.36795e44i 0.724963i 0.931991 + 0.362481i \(0.118070\pi\)
−0.931991 + 0.362481i \(0.881930\pi\)
\(620\) −3.59050e42 2.56797e43i −0.00753162 0.0538671i
\(621\) 6.10379e44 1.24777
\(622\) 4.95256e44 4.95256e44i 0.986696 0.986696i
\(623\) −1.76725e43 1.76725e43i −0.0343153 0.0343153i
\(624\) 4.02352e44i 0.761471i
\(625\) 4.60540e44 2.85966e44i 0.849546 0.527514i
\(626\) 6.37857e44 1.14692
\(627\) −3.87182e44 + 3.87182e44i −0.678632 + 0.678632i
\(628\) −6.18813e43 6.18813e43i −0.105732 0.105732i
\(629\) 5.48538e44i 0.913685i
\(630\) −1.27134e45 + 1.77757e44i −2.06449 + 0.288655i
\(631\) −6.04416e44 −0.956899 −0.478450 0.878115i \(-0.658801\pi\)
−0.478450 + 0.878115i \(0.658801\pi\)
\(632\) −1.53235e44 + 1.53235e44i −0.236528 + 0.236528i
\(633\) 3.42273e44 + 3.42273e44i 0.515126 + 0.515126i
\(634\) 5.80221e44i 0.851462i
\(635\) −1.17446e44 + 1.55626e44i −0.168057 + 0.222691i
\(636\) 1.64647e45 2.29741
\(637\) 9.44314e43 9.44314e43i 0.128495 0.128495i
\(638\) −2.15138e45 2.15138e45i −2.85487 2.85487i
\(639\) 1.02665e45i 1.32864i
\(640\) 6.28125e44 + 4.74024e44i 0.792805 + 0.598303i
\(641\) 6.60694e44 0.813340 0.406670 0.913575i \(-0.366690\pi\)
0.406670 + 0.913575i \(0.366690\pi\)
\(642\) 5.98285e44 5.98285e44i 0.718369 0.718369i
\(643\) 8.71333e44 + 8.71333e44i 1.02049 + 1.02049i 0.999786 + 0.0207038i \(0.00659071\pi\)
0.0207038 + 0.999786i \(0.493409\pi\)
\(644\) 1.57069e45i 1.79439i
\(645\) −1.02610e44 7.33876e44i −0.114349 0.817838i
\(646\) −3.19835e44 −0.347701
\(647\) 2.03401e44 2.03401e44i 0.215718 0.215718i −0.590973 0.806691i \(-0.701256\pi\)
0.806691 + 0.590973i \(0.201256\pi\)
\(648\) 7.17689e43 + 7.17689e43i 0.0742568 + 0.0742568i
\(649\) 5.58565e44i 0.563844i
\(650\) 1.33594e45 3.81026e44i 1.31575 0.375268i
\(651\) −5.96952e43 −0.0573646
\(652\) 3.80656e44 3.80656e44i 0.356921 0.356921i
\(653\) 1.51723e45 + 1.51723e45i 1.38816 + 1.38816i 0.829178 + 0.558984i \(0.188809\pi\)
0.558984 + 0.829178i \(0.311191\pi\)
\(654\) 1.93411e45i 1.72678i
\(655\) −1.31820e45 + 1.84309e44i −1.14847 + 0.160578i
\(656\) 4.04560e44 0.343971
\(657\) 1.68138e45 1.68138e45i 1.39514 1.39514i
\(658\) 1.26028e45 + 1.26028e45i 1.02059 + 1.02059i
\(659\) 4.47404e44i 0.353617i −0.984245 0.176809i \(-0.943423\pi\)
0.984245 0.176809i \(-0.0565773\pi\)
\(660\) −2.35194e45 + 3.11653e45i −1.81436 + 2.40419i
\(661\) −1.76365e45 −1.32797 −0.663986 0.747745i \(-0.731137\pi\)
−0.663986 + 0.747745i \(0.731137\pi\)
\(662\) 1.37733e44 1.37733e44i 0.101230 0.101230i
\(663\) −7.41560e44 7.41560e44i −0.532022 0.532022i
\(664\) 6.89254e44i 0.482714i
\(665\) −4.46528e44 3.36979e44i −0.305283 0.230387i
\(666\) −6.03368e45 −4.02712
\(667\) −3.03484e45 + 3.03484e45i −1.97752 + 1.97752i
\(668\) 1.36142e45 + 1.36142e45i 0.866104 + 0.866104i
\(669\) 2.27336e45i 1.41205i
\(670\) −7.44902e43 5.32764e44i −0.0451754 0.323101i
\(671\) 1.14718e45 0.679314
\(672\) 2.34020e45 2.34020e45i 1.35314 1.35314i
\(673\) −2.15879e44 2.15879e44i −0.121891 0.121891i 0.643530 0.765421i \(-0.277469\pi\)
−0.765421 + 0.643530i \(0.777469\pi\)
\(674\) 1.39276e45i 0.767923i
\(675\) 7.53434e44 1.35470e45i 0.405681 0.729430i
\(676\) −5.15673e44 −0.271161
\(677\) 1.11069e45 1.11069e45i 0.570391 0.570391i −0.361846 0.932238i \(-0.617854\pi\)
0.932238 + 0.361846i \(0.117854\pi\)
\(678\) −6.26083e44 6.26083e44i −0.314019 0.314019i
\(679\) 1.49609e44i 0.0732895i
\(680\) −5.79120e44 + 8.09717e43i −0.277093 + 0.0387427i
\(681\) −1.00402e45 −0.469235
\(682\) −1.35205e44 + 1.35205e44i −0.0617226 + 0.0617226i
\(683\) 1.58313e45 + 1.58313e45i 0.705968 + 0.705968i 0.965685 0.259717i \(-0.0836293\pi\)
−0.259717 + 0.965685i \(0.583629\pi\)
\(684\) 2.01770e45i 0.878938i
\(685\) 2.24075e45 2.96919e45i 0.953551 1.26354i
\(686\) −3.95611e45 −1.64468
\(687\) −3.49155e45 + 3.49155e45i −1.41811 + 1.41811i
\(688\) 4.96617e44 + 4.96617e44i 0.197064 + 0.197064i
\(689\) 2.47762e45i 0.960566i
\(690\) 7.66541e45 + 5.78482e45i 2.90369 + 2.19131i
\(691\) 2.87038e45 1.06241 0.531203 0.847244i \(-0.321740\pi\)
0.531203 + 0.847244i \(0.321740\pi\)
\(692\) −2.33949e45 + 2.33949e45i −0.846106 + 0.846106i
\(693\) 3.83901e45 + 3.83901e45i 1.35671 + 1.35671i
\(694\) 5.97235e45i 2.06250i
\(695\) −3.04780e44 2.17983e45i −0.102856 0.735640i
\(696\) 4.75931e45 1.56963
\(697\) −7.45628e44 + 7.45628e44i −0.240324 + 0.240324i
\(698\) −9.07204e44 9.07204e44i −0.285771 0.285771i
\(699\) 2.06525e45i 0.635825i
\(700\) −3.48606e45 1.93882e45i −1.04898 0.583402i
\(701\) 5.70234e45 1.67712 0.838561 0.544808i \(-0.183398\pi\)
0.838561 + 0.544808i \(0.183398\pi\)
\(702\) 2.80892e45 2.80892e45i 0.807506 0.807506i
\(703\) −1.85923e45 1.85923e45i −0.522454 0.522454i
\(704\) 7.84905e45i 2.15603i
\(705\) −6.18954e45 + 8.65412e44i −1.66201 + 0.232379i
\(706\) 2.85334e45 0.748994
\(707\) 2.55282e45 2.55282e45i 0.655104 0.655104i
\(708\) 2.40963e45 + 2.40963e45i 0.604530 + 0.604530i
\(709\) 2.03881e45i 0.500078i 0.968236 + 0.250039i \(0.0804435\pi\)
−0.968236 + 0.250039i \(0.919557\pi\)
\(710\) −3.35066e45 + 4.43992e45i −0.803519 + 1.06474i
\(711\) −4.12109e45 −0.966270
\(712\) 8.85479e43 8.85479e43i 0.0203001 0.0203001i
\(713\) 1.90727e44 + 1.90727e44i 0.0427543 + 0.0427543i
\(714\) 5.25044e45i 1.15087i
\(715\) −4.68979e45 3.53922e45i −1.00521 0.758596i
\(716\) −4.76351e45 −0.998433
\(717\) 3.29971e45 3.29971e45i 0.676347 0.676347i
\(718\) −3.84113e45 3.84113e45i −0.769960 0.769960i
\(719\) 5.56388e45i 1.09073i −0.838200 0.545363i \(-0.816392\pi\)
0.838200 0.545363i \(-0.183608\pi\)
\(720\) 5.90771e44 + 4.22527e45i 0.113266 + 0.810092i
\(721\) −4.63154e45 −0.868482
\(722\) −4.81978e45 + 4.81978e45i −0.883958 + 0.883958i
\(723\) −6.18510e45 6.18510e45i −1.10952 1.10952i
\(724\) 1.10047e45i 0.193091i
\(725\) 2.98953e45 + 1.04818e46i 0.513092 + 1.79898i
\(726\) 1.42977e46 2.40038
\(727\) 4.74908e45 4.74908e45i 0.779936 0.779936i −0.199884 0.979820i \(-0.564057\pi\)
0.979820 + 0.199884i \(0.0640565\pi\)
\(728\) −1.85332e45 1.85332e45i −0.297748 0.297748i
\(729\) 1.03693e46i 1.62970i
\(730\) 1.27589e46 1.78393e45i 1.96177 0.274291i
\(731\) −1.83059e45 −0.275368
\(732\) −4.94888e45 + 4.94888e45i −0.728332 + 0.728332i
\(733\) −4.38889e45 4.38889e45i −0.631962 0.631962i 0.316598 0.948560i \(-0.397459\pi\)
−0.948560 + 0.316598i \(0.897459\pi\)
\(734\) 2.10547e46i 2.96629i
\(735\) 1.41227e45 1.87139e45i 0.194680 0.257969i
\(736\) −1.49539e46 −2.01702
\(737\) −1.60876e45 + 1.60876e45i −0.212330 + 0.212330i
\(738\) −8.20159e45 8.20159e45i −1.05924 1.05924i
\(739\) 7.10193e45i 0.897564i 0.893641 + 0.448782i \(0.148142\pi\)
−0.893641 + 0.448782i \(0.851858\pi\)
\(740\) −1.49654e46 1.12939e46i −1.85090 1.39681i
\(741\) 5.02693e45 0.608431
\(742\) 8.77112e45 8.77112e45i 1.03894 1.03894i
\(743\) 1.09906e46 + 1.09906e46i 1.27409 + 1.27409i 0.943923 + 0.330166i \(0.107105\pi\)
0.330166 + 0.943923i \(0.392895\pi\)
\(744\) 2.99103e44i 0.0339355i
\(745\) −2.33464e45 1.66977e46i −0.259251 1.85420i
\(746\) 2.18233e46 2.37192
\(747\) −9.26840e45 + 9.26840e45i −0.985996 + 0.985996i
\(748\) 6.82031e45 + 6.82031e45i 0.710197 + 0.710197i
\(749\) 3.65589e45i 0.372635i
\(750\) 2.23010e46 9.87233e45i 2.22508 0.985007i
\(751\) 4.28111e45 0.418136 0.209068 0.977901i \(-0.432957\pi\)
0.209068 + 0.977901i \(0.432957\pi\)
\(752\) 4.18849e45 4.18849e45i 0.400472 0.400472i
\(753\) −1.52823e46 1.52823e46i −1.43043 1.43043i