Properties

Label 5.33.c.a.2.9
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 2.9
Character \(\chi\) \(=\) 5.2
Dual form 5.33.c.a.3.9

$q$-expansion

\(f(q)\) \(=\) \(q+(24352.5 + 24352.5i) q^{2} +(-2.67962e7 + 2.67962e7i) q^{3} -3.10888e9i q^{4} +(-1.49880e11 + 2.86196e10i) q^{5} -1.30511e12 q^{6} +(4.33877e13 + 4.33877e13i) q^{7} +(1.80302e14 - 1.80302e14i) q^{8} +4.16950e14i q^{9} +O(q^{10})\) \(q+(24352.5 + 24352.5i) q^{2} +(-2.67962e7 + 2.67962e7i) q^{3} -3.10888e9i q^{4} +(-1.49880e11 + 2.86196e10i) q^{5} -1.30511e12 q^{6} +(4.33877e13 + 4.33877e13i) q^{7} +(1.80302e14 - 1.80302e14i) q^{8} +4.16950e14i q^{9} +(-4.34691e15 - 2.95300e15i) q^{10} +2.50521e16 q^{11} +(8.33060e16 + 8.33060e16i) q^{12} +(-7.52949e17 + 7.52949e17i) q^{13} +2.11320e18i q^{14} +(3.24931e18 - 4.78310e18i) q^{15} -4.57088e18 q^{16} +(-3.85049e19 - 3.85049e19i) q^{17} +(-1.01538e19 + 1.01538e19i) q^{18} -1.17007e20i q^{19} +(8.89746e19 + 4.65958e20i) q^{20} -2.32525e21 q^{21} +(6.10083e20 + 6.10083e20i) q^{22} +(3.24732e21 - 3.24732e21i) q^{23} +9.66283e21i q^{24} +(2.16449e22 - 8.57899e21i) q^{25} -3.66725e22 q^{26} +(-6.08265e22 - 6.08265e22i) q^{27} +(1.34887e23 - 1.34887e23i) q^{28} +2.76596e23i q^{29} +(1.95610e23 - 3.73517e22i) q^{30} -7.57486e23 q^{31} +(-8.85705e23 - 8.85705e23i) q^{32} +(-6.71302e23 + 6.71302e23i) q^{33} -1.87539e24i q^{34} +(-7.74468e24 - 5.26121e24i) q^{35} +1.29625e24 q^{36} +(-6.38692e24 - 6.38692e24i) q^{37} +(2.84943e24 - 2.84943e24i) q^{38} -4.03523e25i q^{39} +(-2.18635e25 + 3.21839e25i) q^{40} -4.00127e25 q^{41} +(-5.66257e25 - 5.66257e25i) q^{42} +(-2.44781e24 + 2.44781e24i) q^{43} -7.78840e25i q^{44} +(-1.19329e25 - 6.24925e25i) q^{45} +1.58161e26 q^{46} +(-7.35501e26 - 7.35501e26i) q^{47} +(1.22482e26 - 1.22482e26i) q^{48} +2.66055e27i q^{49} +(7.36028e26 + 3.18188e26i) q^{50} +2.06357e27 q^{51} +(2.34083e27 + 2.34083e27i) q^{52} +(4.27034e26 - 4.27034e26i) q^{53} -2.96256e27i q^{54} +(-3.75481e27 + 7.16981e26i) q^{55} +1.56458e28 q^{56} +(3.13535e27 + 3.13535e27i) q^{57} +(-6.73582e27 + 6.73582e27i) q^{58} +1.79592e28i q^{59} +(-1.48701e28 - 1.01017e28i) q^{60} -1.42429e28 q^{61} +(-1.84467e28 - 1.84467e28i) q^{62} +(-1.80905e28 + 1.80905e28i) q^{63} -2.35065e28i q^{64} +(9.13029e28 - 1.34401e29i) q^{65} -3.26958e28 q^{66} +(-1.58580e29 - 1.58580e29i) q^{67} +(-1.19707e29 + 1.19707e29i) q^{68} +1.74032e29i q^{69} +(-6.04788e28 - 3.16726e29i) q^{70} +2.34998e29 q^{71} +(7.51771e28 + 7.51771e28i) q^{72} +(-1.18217e29 + 1.18217e29i) q^{73} -3.11075e29i q^{74} +(-3.50117e29 + 8.09885e29i) q^{75} -3.63762e29 q^{76} +(1.08695e30 + 1.08695e30i) q^{77} +(9.82681e29 - 9.82681e29i) q^{78} +1.26158e30i q^{79} +(6.85083e29 - 1.30817e29i) q^{80} +2.48722e30 q^{81} +(-9.74410e29 - 9.74410e29i) q^{82} +(7.76428e29 - 7.76428e29i) q^{83} +7.22891e30i q^{84} +(6.87311e30 + 4.66912e30i) q^{85} -1.19221e29 q^{86} +(-7.41172e30 - 7.41172e30i) q^{87} +(4.51696e30 - 4.51696e30i) q^{88} -4.78198e30i q^{89} +(1.23125e30 - 1.81245e30i) q^{90} -6.53375e31 q^{91} +(-1.00955e31 - 1.00955e31i) q^{92} +(2.02977e31 - 2.02977e31i) q^{93} -3.58226e31i q^{94} +(3.34870e30 + 1.75371e31i) q^{95} +4.74670e31 q^{96} +(1.96023e31 + 1.96023e31i) q^{97} +(-6.47912e31 + 6.47912e31i) q^{98} +1.04455e31i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 24352.5 + 24352.5i 0.371590 + 0.371590i 0.868056 0.496466i \(-0.165369\pi\)
−0.496466 + 0.868056i \(0.665369\pi\)
\(3\) −2.67962e7 + 2.67962e7i −0.622491 + 0.622491i −0.946168 0.323677i \(-0.895081\pi\)
0.323677 + 0.946168i \(0.395081\pi\)
\(4\) 3.10888e9i 0.723842i
\(5\) −1.49880e11 + 2.86196e10i −0.982253 + 0.187561i
\(6\) −1.30511e12 −0.462623
\(7\) 4.33877e13 + 4.33877e13i 1.30556 + 1.30556i 0.924584 + 0.380979i \(0.124413\pi\)
0.380979 + 0.924584i \(0.375587\pi\)
\(8\) 1.80302e14 1.80302e14i 0.640563 0.640563i
\(9\) 4.16950e14i 0.225011i
\(10\) −4.34691e15 2.95300e15i −0.434691 0.295300i
\(11\) 2.50521e16 0.545208 0.272604 0.962126i \(-0.412115\pi\)
0.272604 + 0.962126i \(0.412115\pi\)
\(12\) 8.33060e16 + 8.33060e16i 0.450584 + 0.450584i
\(13\) −7.52949e17 + 7.52949e17i −1.13155 + 1.13155i −0.141626 + 0.989920i \(0.545233\pi\)
−0.989920 + 0.141626i \(0.954767\pi\)
\(14\) 2.11320e18i 0.970269i
\(15\) 3.24931e18 4.78310e18i 0.494688 0.728198i
\(16\) −4.57088e18 −0.247788
\(17\) −3.85049e19 3.85049e19i −0.791287 0.791287i 0.190417 0.981703i \(-0.439016\pi\)
−0.981703 + 0.190417i \(0.939016\pi\)
\(18\) −1.01538e19 + 1.01538e19i −0.0836119 + 0.0836119i
\(19\) 1.17007e20i 0.405654i −0.979215 0.202827i \(-0.934987\pi\)
0.979215 0.202827i \(-0.0650129\pi\)
\(20\) 8.89746e19 + 4.65958e20i 0.135765 + 0.710995i
\(21\) −2.32525e21 −1.62540
\(22\) 6.10083e20 + 6.10083e20i 0.202594 + 0.202594i
\(23\) 3.24732e21 3.24732e21i 0.529518 0.529518i −0.390911 0.920428i \(-0.627840\pi\)
0.920428 + 0.390911i \(0.127840\pi\)
\(24\) 9.66283e21i 0.797488i
\(25\) 2.16449e22 8.57899e21i 0.929642 0.368465i
\(26\) −3.66725e22 −0.840943
\(27\) −6.08265e22 6.08265e22i −0.762558 0.762558i
\(28\) 1.34887e23 1.34887e23i 0.945021 0.945021i
\(29\) 2.76596e23i 1.10529i 0.833415 + 0.552647i \(0.186382\pi\)
−0.833415 + 0.552647i \(0.813618\pi\)
\(30\) 1.95610e23 3.73517e22i 0.454413 0.0867700i
\(31\) −7.57486e23 −1.04133 −0.520664 0.853762i \(-0.674316\pi\)
−0.520664 + 0.853762i \(0.674316\pi\)
\(32\) −8.85705e23 8.85705e23i −0.732638 0.732638i
\(33\) −6.71302e23 + 6.71302e23i −0.339387 + 0.339387i
\(34\) 1.87539e24i 0.588069i
\(35\) −7.74468e24 5.26121e24i −1.52727 1.03752i
\(36\) 1.29625e24 0.162872
\(37\) −6.38692e24 6.38692e24i −0.517683 0.517683i 0.399187 0.916870i \(-0.369293\pi\)
−0.916870 + 0.399187i \(0.869293\pi\)
\(38\) 2.84943e24 2.84943e24i 0.150737 0.150737i
\(39\) 4.03523e25i 1.40875i
\(40\) −2.18635e25 + 3.21839e25i −0.509050 + 0.749339i
\(41\) −4.00127e25 −0.627561 −0.313781 0.949496i \(-0.601596\pi\)
−0.313781 + 0.949496i \(0.601596\pi\)
\(42\) −5.66257e25 5.66257e25i −0.603983 0.603983i
\(43\) −2.44781e24 + 2.44781e24i −0.0179177 + 0.0179177i −0.716009 0.698091i \(-0.754033\pi\)
0.698091 + 0.716009i \(0.254033\pi\)
\(44\) 7.78840e25i 0.394644i
\(45\) −1.19329e25 6.24925e25i −0.0422033 0.221018i
\(46\) 1.58161e26 0.393527
\(47\) −7.35501e26 7.35501e26i −1.29723 1.29723i −0.930214 0.367017i \(-0.880379\pi\)
−0.367017 0.930214i \(-0.619621\pi\)
\(48\) 1.22482e26 1.22482e26i 0.154246 0.154246i
\(49\) 2.66055e27i 2.40899i
\(50\) 7.36028e26 + 3.18188e26i 0.482364 + 0.208528i
\(51\) 2.06357e27 0.985137
\(52\) 2.34083e27 + 2.34083e27i 0.819060 + 0.819060i
\(53\) 4.27034e26 4.27034e26i 0.110166 0.110166i −0.649875 0.760041i \(-0.725179\pi\)
0.760041 + 0.649875i \(0.225179\pi\)
\(54\) 2.96256e27i 0.566718i
\(55\) −3.75481e27 + 7.16981e26i −0.535532 + 0.102260i
\(56\) 1.56458e28 1.67259
\(57\) 3.13535e27 + 3.13535e27i 0.252516 + 0.252516i
\(58\) −6.73582e27 + 6.73582e27i −0.410717 + 0.410717i
\(59\) 1.79592e28i 0.833020i 0.909131 + 0.416510i \(0.136747\pi\)
−0.909131 + 0.416510i \(0.863253\pi\)
\(60\) −1.48701e28 1.01017e28i −0.527100 0.358076i
\(61\) −1.42429e28 −0.387544 −0.193772 0.981047i \(-0.562072\pi\)
−0.193772 + 0.981047i \(0.562072\pi\)
\(62\) −1.84467e28 1.84467e28i −0.386947 0.386947i
\(63\) −1.80905e28 + 1.80905e28i −0.293766 + 0.293766i
\(64\) 2.35065e28i 0.296694i
\(65\) 9.13029e28 1.34401e29i 0.899230 1.32370i
\(66\) −3.26958e28 −0.252225
\(67\) −1.58580e29 1.58580e29i −0.961727 0.961727i 0.0375670 0.999294i \(-0.488039\pi\)
−0.999294 + 0.0375670i \(0.988039\pi\)
\(68\) −1.19707e29 + 1.19707e29i −0.572766 + 0.572766i
\(69\) 1.74032e29i 0.659239i
\(70\) −6.04788e28 3.16726e29i −0.181985 0.953049i
\(71\) 2.34998e29 0.563548 0.281774 0.959481i \(-0.409077\pi\)
0.281774 + 0.959481i \(0.409077\pi\)
\(72\) 7.51771e28 + 7.51771e28i 0.144134 + 0.144134i
\(73\) −1.18217e29 + 1.18217e29i −0.181766 + 0.181766i −0.792125 0.610359i \(-0.791025\pi\)
0.610359 + 0.792125i \(0.291025\pi\)
\(74\) 3.11075e29i 0.384732i
\(75\) −3.50117e29 + 8.09885e29i −0.349327 + 0.808059i
\(76\) −3.63762e29 −0.293629
\(77\) 1.08695e30 + 1.08695e30i 0.711803 + 0.711803i
\(78\) 9.82681e29 9.82681e29i 0.523479 0.523479i
\(79\) 1.26158e30i 0.548127i 0.961712 + 0.274063i \(0.0883678\pi\)
−0.961712 + 0.274063i \(0.911632\pi\)
\(80\) 6.85083e29 1.30817e29i 0.243391 0.0464754i
\(81\) 2.48722e30 0.724359
\(82\) −9.74410e29 9.74410e29i −0.233196 0.233196i
\(83\) 7.76428e29 7.76428e29i 0.153056 0.153056i −0.626425 0.779482i \(-0.715483\pi\)
0.779482 + 0.626425i \(0.215483\pi\)
\(84\) 7.22891e30i 1.17653i
\(85\) 6.87311e30 + 4.66912e30i 0.925658 + 0.628829i
\(86\) −1.19221e29 −0.0133161
\(87\) −7.41172e30 7.41172e30i −0.688035 0.688035i
\(88\) 4.51696e30 4.51696e30i 0.349240 0.349240i
\(89\) 4.78198e30i 0.308580i −0.988026 0.154290i \(-0.950691\pi\)
0.988026 0.154290i \(-0.0493090\pi\)
\(90\) 1.23125e30 1.81245e30i 0.0664457 0.0978104i
\(91\) −6.53375e31 −2.95461
\(92\) −1.00955e31 1.00955e31i −0.383287 0.383287i
\(93\) 2.02977e31 2.02977e31i 0.648217 0.648217i
\(94\) 3.58226e31i 0.964077i
\(95\) 3.34870e30 + 1.75371e31i 0.0760850 + 0.398455i
\(96\) 4.74670e31 0.912121
\(97\) 1.96023e31 + 1.96023e31i 0.319124 + 0.319124i 0.848431 0.529306i \(-0.177548\pi\)
−0.529306 + 0.848431i \(0.677548\pi\)
\(98\) −6.47912e31 + 6.47912e31i −0.895157 + 0.895157i
\(99\) 1.04455e31i 0.122678i
\(100\) −2.66710e31 6.72913e31i −0.266710 0.672913i
\(101\) −4.31365e31 −0.367877 −0.183939 0.982938i \(-0.558885\pi\)
−0.183939 + 0.982938i \(0.558885\pi\)
\(102\) 5.02532e31 + 5.02532e31i 0.366067 + 0.366067i
\(103\) 1.33235e32 1.33235e32i 0.830273 0.830273i −0.157281 0.987554i \(-0.550273\pi\)
0.987554 + 0.157281i \(0.0502727\pi\)
\(104\) 2.71517e32i 1.44965i
\(105\) 3.48508e32 6.65476e31i 1.59655 0.304862i
\(106\) 2.07987e31 0.0818733
\(107\) −1.32243e32 1.32243e32i −0.447951 0.447951i 0.446722 0.894673i \(-0.352591\pi\)
−0.894673 + 0.446722i \(0.852591\pi\)
\(108\) −1.89102e32 + 1.89102e32i −0.551971 + 0.551971i
\(109\) 3.98070e32i 1.00262i 0.865269 + 0.501309i \(0.167148\pi\)
−0.865269 + 0.501309i \(0.832852\pi\)
\(110\) −1.08900e32 7.39789e31i −0.236997 0.161000i
\(111\) 3.42290e32 0.644506
\(112\) −1.98320e32 1.98320e32i −0.323503 0.323503i
\(113\) 4.64159e31 4.64159e31i 0.0656768 0.0656768i −0.673505 0.739182i \(-0.735212\pi\)
0.739182 + 0.673505i \(0.235212\pi\)
\(114\) 1.52708e32i 0.187665i
\(115\) −3.93772e32 + 5.79646e32i −0.420803 + 0.619437i
\(116\) 8.59903e32 0.800058
\(117\) −3.13942e32 3.13942e32i −0.254610 0.254610i
\(118\) −4.37353e32 + 4.37353e32i −0.309542 + 0.309542i
\(119\) 3.34128e33i 2.06615i
\(120\) −2.76546e32 1.44826e33i −0.149578 0.783335i
\(121\) −1.48377e33 −0.702749
\(122\) −3.46850e32 3.46850e32i −0.144007 0.144007i
\(123\) 1.07219e33 1.07219e33i 0.390651 0.390651i
\(124\) 2.35493e33i 0.753756i
\(125\) −2.99861e33 + 1.90529e33i −0.844034 + 0.536290i
\(126\) −8.81099e32 −0.218321
\(127\) 6.53773e32 + 6.53773e32i 0.142747 + 0.142747i 0.774869 0.632122i \(-0.217816\pi\)
−0.632122 + 0.774869i \(0.717816\pi\)
\(128\) −3.23163e33 + 3.23163e33i −0.622389 + 0.622389i
\(129\) 1.31184e32i 0.0223072i
\(130\) 5.49646e33 1.04955e33i 0.826018 0.157728i
\(131\) 2.38170e33 0.316626 0.158313 0.987389i \(-0.449394\pi\)
0.158313 + 0.987389i \(0.449394\pi\)
\(132\) 2.08699e33 + 2.08699e33i 0.245662 + 0.245662i
\(133\) 5.07668e33 5.07668e33i 0.529607 0.529607i
\(134\) 7.72365e33i 0.714737i
\(135\) 1.08575e34 + 7.37585e33i 0.892051 + 0.605998i
\(136\) −1.38851e34 −1.01374
\(137\) 1.70613e34 + 1.70613e34i 1.10785 + 1.10785i 0.993432 + 0.114422i \(0.0365017\pi\)
0.114422 + 0.993432i \(0.463498\pi\)
\(138\) −4.23811e33 + 4.23811e33i −0.244967 + 0.244967i
\(139\) 1.73904e34i 0.895517i −0.894154 0.447759i \(-0.852222\pi\)
0.894154 0.447759i \(-0.147778\pi\)
\(140\) −1.63564e34 + 2.40772e34i −0.751000 + 1.10550i
\(141\) 3.94172e34 1.61503
\(142\) 5.72280e33 + 5.72280e33i 0.209409 + 0.209409i
\(143\) −1.88630e34 + 1.88630e34i −0.616928 + 0.616928i
\(144\) 1.90583e33i 0.0557551i
\(145\) −7.91606e33 4.14562e34i −0.207310 1.08568i
\(146\) −5.75775e33 −0.135085
\(147\) −7.12927e34 7.12927e34i −1.49957 1.49957i
\(148\) −1.98561e34 + 1.98561e34i −0.374721 + 0.374721i
\(149\) 2.36243e34i 0.400294i −0.979766 0.200147i \(-0.935858\pi\)
0.979766 0.200147i \(-0.0641419\pi\)
\(150\) −2.82490e34 + 1.11965e34i −0.430073 + 0.170460i
\(151\) 4.35905e34 0.596706 0.298353 0.954456i \(-0.403563\pi\)
0.298353 + 0.954456i \(0.403563\pi\)
\(152\) −2.10967e34 2.10967e34i −0.259847 0.259847i
\(153\) 1.60546e34 1.60546e34i 0.178048 0.178048i
\(154\) 5.29402e34i 0.528998i
\(155\) 1.13532e35 2.16789e34i 1.02285 0.195313i
\(156\) −1.25450e35 −1.01971
\(157\) −1.03876e35 1.03876e35i −0.762292 0.762292i 0.214444 0.976736i \(-0.431206\pi\)
−0.976736 + 0.214444i \(0.931206\pi\)
\(158\) −3.07226e34 + 3.07226e34i −0.203678 + 0.203678i
\(159\) 2.28857e34i 0.137155i
\(160\) 1.58098e35 + 1.07401e35i 0.857050 + 0.582222i
\(161\) 2.81788e35 1.38264
\(162\) 6.05701e34 + 6.05701e34i 0.269165 + 0.269165i
\(163\) −9.01603e34 + 9.01603e34i −0.363089 + 0.363089i −0.864949 0.501860i \(-0.832649\pi\)
0.501860 + 0.864949i \(0.332649\pi\)
\(164\) 1.24394e35i 0.454255i
\(165\) 8.14023e34 1.19827e35i 0.269708 0.397019i
\(166\) 3.78160e34 0.113749
\(167\) 9.95084e34 + 9.95084e34i 0.271892 + 0.271892i 0.829861 0.557970i \(-0.188419\pi\)
−0.557970 + 0.829861i \(0.688419\pi\)
\(168\) −4.19248e35 + 4.19248e35i −1.04117 + 1.04117i
\(169\) 6.91086e35i 1.56079i
\(170\) 5.36727e34 + 2.81083e35i 0.110299 + 0.577632i
\(171\) 4.87863e34 0.0912767
\(172\) 7.60993e33 + 7.60993e33i 0.0129696 + 0.0129696i
\(173\) −1.52907e35 + 1.52907e35i −0.237514 + 0.237514i −0.815820 0.578306i \(-0.803714\pi\)
0.578306 + 0.815820i \(0.303714\pi\)
\(174\) 3.60988e35i 0.511334i
\(175\) 1.31134e36 + 5.66900e35i 1.69476 + 0.732652i
\(176\) −1.14510e35 −0.135096
\(177\) −4.81239e35 4.81239e35i −0.518547 0.518547i
\(178\) 1.16453e35 1.16453e35i 0.114665 0.114665i
\(179\) 5.23045e35i 0.470859i 0.971891 + 0.235430i \(0.0756497\pi\)
−0.971891 + 0.235430i \(0.924350\pi\)
\(180\) −1.94281e35 + 3.70980e34i −0.159982 + 0.0305485i
\(181\) −1.48698e36 −1.12059 −0.560295 0.828293i \(-0.689312\pi\)
−0.560295 + 0.828293i \(0.689312\pi\)
\(182\) −1.59113e36 1.59113e36i −1.09790 1.09790i
\(183\) 3.81655e35 3.81655e35i 0.241242 0.241242i
\(184\) 1.17100e36i 0.678378i
\(185\) 1.14006e36 + 7.74480e35i 0.605593 + 0.411399i
\(186\) 9.88602e35 0.481742
\(187\) −9.64632e35 9.64632e35i −0.431416 0.431416i
\(188\) −2.28658e36 + 2.28658e36i −0.938990 + 0.938990i
\(189\) 5.27824e36i 1.99113i
\(190\) −3.45523e35 + 5.08621e35i −0.119790 + 0.176334i
\(191\) 2.19182e36 0.698667 0.349333 0.936998i \(-0.386408\pi\)
0.349333 + 0.936998i \(0.386408\pi\)
\(192\) 6.29885e35 + 6.29885e35i 0.184689 + 0.184689i
\(193\) −4.67348e36 + 4.67348e36i −1.26103 + 1.26103i −0.310429 + 0.950597i \(0.600473\pi\)
−0.950597 + 0.310429i \(0.899527\pi\)
\(194\) 9.54733e35i 0.237167i
\(195\) 1.15487e36 + 6.04800e36i 0.264227 + 1.38375i
\(196\) 8.27133e36 1.74373
\(197\) −3.28347e35 3.28347e35i −0.0638078 0.0638078i 0.674483 0.738291i \(-0.264367\pi\)
−0.738291 + 0.674483i \(0.764367\pi\)
\(198\) −2.54374e35 + 2.54374e35i −0.0455859 + 0.0455859i
\(199\) 8.00529e35i 0.132351i −0.997808 0.0661756i \(-0.978920\pi\)
0.997808 0.0661756i \(-0.0210797\pi\)
\(200\) 2.35581e36 5.44944e36i 0.359469 0.831518i
\(201\) 8.49868e36 1.19733
\(202\) −1.05048e36 1.05048e36i −0.136700 0.136700i
\(203\) −1.20009e37 + 1.20009e37i −1.44303 + 1.44303i
\(204\) 6.41538e36i 0.713083i
\(205\) 5.99710e36 1.14515e36i 0.616424 0.117706i
\(206\) 6.48920e36 0.617043
\(207\) 1.35397e36 + 1.35397e36i 0.119147 + 0.119147i
\(208\) 3.44164e36 3.44164e36i 0.280384 0.280384i
\(209\) 2.93129e36i 0.221166i
\(210\) 1.01077e37 + 6.86645e36i 0.706548 + 0.479980i
\(211\) −2.71957e37 −1.76190 −0.880950 0.473209i \(-0.843096\pi\)
−0.880950 + 0.473209i \(0.843096\pi\)
\(212\) −1.32759e36 1.32759e36i −0.0797428 0.0797428i
\(213\) −6.29705e36 + 6.29705e36i −0.350803 + 0.350803i
\(214\) 6.44088e36i 0.332909i
\(215\) 2.96822e35 4.36932e35i 0.0142390 0.0209604i
\(216\) −2.19343e37 −0.976932
\(217\) −3.28656e37 3.28656e37i −1.35952 1.35952i
\(218\) −9.69401e36 + 9.69401e36i −0.372563 + 0.372563i
\(219\) 6.33551e36i 0.226296i
\(220\) 2.22901e36 + 1.16732e37i 0.0740199 + 0.387640i
\(221\) 5.79846e37 1.79075
\(222\) 8.33563e36 + 8.33563e36i 0.239492 + 0.239492i
\(223\) 4.02241e36 4.02241e36i 0.107549 0.107549i −0.651284 0.758834i \(-0.725769\pi\)
0.758834 + 0.651284i \(0.225769\pi\)
\(224\) 7.68574e37i 1.91301i
\(225\) 3.57701e36 + 9.02485e36i 0.0829087 + 0.209180i
\(226\) 2.26069e36 0.0488097
\(227\) −8.76357e36 8.76357e36i −0.176306 0.176306i 0.613437 0.789743i \(-0.289786\pi\)
−0.789743 + 0.613437i \(0.789786\pi\)
\(228\) 9.74742e36 9.74742e36i 0.182781 0.182781i
\(229\) 1.01590e38i 1.77616i 0.459688 + 0.888081i \(0.347961\pi\)
−0.459688 + 0.888081i \(0.652039\pi\)
\(230\) −2.37052e37 + 4.52650e36i −0.386543 + 0.0738104i
\(231\) −5.82525e37 −0.886181
\(232\) 4.98709e37 + 4.98709e37i 0.708010 + 0.708010i
\(233\) −1.12534e37 + 1.12534e37i −0.149139 + 0.149139i −0.777733 0.628594i \(-0.783631\pi\)
0.628594 + 0.777733i \(0.283631\pi\)
\(234\) 1.52906e37i 0.189221i
\(235\) 1.31286e38 + 8.91871e37i 1.51752 + 1.03090i
\(236\) 5.58330e37 0.602974
\(237\) −3.38055e37 3.38055e37i −0.341204 0.341204i
\(238\) 8.13687e37 8.13687e37i 0.767761 0.767761i
\(239\) 1.37020e38i 1.20897i 0.796616 + 0.604486i \(0.206621\pi\)
−0.796616 + 0.604486i \(0.793379\pi\)
\(240\) −1.48522e37 + 2.18630e37i −0.122578 + 0.180439i
\(241\) −1.53875e38 −1.18821 −0.594107 0.804386i \(-0.702495\pi\)
−0.594107 + 0.804386i \(0.702495\pi\)
\(242\) −3.61335e37 3.61335e37i −0.261134 0.261134i
\(243\) 4.60648e37 4.60648e37i 0.311651 0.311651i
\(244\) 4.42793e37i 0.280520i
\(245\) −7.61439e37 3.98764e38i −0.451833 2.36624i
\(246\) 5.22209e37 0.290324
\(247\) 8.81007e37 + 8.81007e37i 0.459016 + 0.459016i
\(248\) −1.36576e38 + 1.36576e38i −0.667036 + 0.667036i
\(249\) 4.16106e37i 0.190552i
\(250\) −1.19422e38 2.66252e37i −0.512915 0.114354i
\(251\) 2.10544e38 0.848329 0.424164 0.905585i \(-0.360568\pi\)
0.424164 + 0.905585i \(0.360568\pi\)
\(252\) 5.62411e37 + 5.62411e37i 0.212640 + 0.212640i
\(253\) 8.13525e37 8.13525e37i 0.288697 0.288697i
\(254\) 3.18421e37i 0.106087i
\(255\) −3.09288e38 + 5.90585e37i −0.967654 + 0.184773i
\(256\) −2.58357e38 −0.759242
\(257\) 6.67731e37 + 6.67731e37i 0.184362 + 0.184362i 0.793254 0.608891i \(-0.208385\pi\)
−0.608891 + 0.793254i \(0.708385\pi\)
\(258\) 3.19466e36 3.19466e36i 0.00828913 0.00828913i
\(259\) 5.54227e38i 1.35174i
\(260\) −4.17836e38 2.83849e38i −0.958148 0.650900i
\(261\) −1.15327e38 −0.248704
\(262\) 5.80005e37 + 5.80005e37i 0.117655 + 0.117655i
\(263\) 5.11526e38 5.11526e38i 0.976283 0.976283i −0.0234420 0.999725i \(-0.507463\pi\)
0.999725 + 0.0234420i \(0.00746252\pi\)
\(264\) 2.42075e38i 0.434797i
\(265\) −5.17822e37 + 7.62253e37i −0.0875481 + 0.128874i
\(266\) 2.47260e38 0.393594
\(267\) 1.28139e38 + 1.28139e38i 0.192088 + 0.192088i
\(268\) −4.93006e38 + 4.93006e38i −0.696138 + 0.696138i
\(269\) 1.16830e39i 1.55424i 0.629351 + 0.777121i \(0.283321\pi\)
−0.629351 + 0.777121i \(0.716679\pi\)
\(270\) 8.47871e37 + 4.44028e38i 0.106294 + 0.556660i
\(271\) −8.98338e38 −1.06153 −0.530763 0.847520i \(-0.678095\pi\)
−0.530763 + 0.847520i \(0.678095\pi\)
\(272\) 1.76002e38 + 1.76002e38i 0.196071 + 0.196071i
\(273\) 1.75079e39 1.75079e39i 1.83922 1.83922i
\(274\) 8.30971e38i 0.823336i
\(275\) 5.42251e38 2.14922e38i 0.506848 0.200890i
\(276\) 5.41043e38 0.477185
\(277\) 1.20101e39 + 1.20101e39i 0.999699 + 0.999699i 1.00000 0.000301289i \(-9.59033e-5\pi\)
−0.000301289 1.00000i \(0.500096\pi\)
\(278\) 4.23501e38 4.23501e38i 0.332765 0.332765i
\(279\) 3.15834e38i 0.234310i
\(280\) −2.34499e39 + 4.47776e38i −1.64291 + 0.313713i
\(281\) −1.45156e37 −0.00960578 −0.00480289 0.999988i \(-0.501529\pi\)
−0.00480289 + 0.999988i \(0.501529\pi\)
\(282\) 9.59909e38 + 9.59909e38i 0.600129 + 0.600129i
\(283\) 1.31575e38 1.31575e38i 0.0777302 0.0777302i −0.667173 0.744903i \(-0.732496\pi\)
0.744903 + 0.667173i \(0.232496\pi\)
\(284\) 7.30580e38i 0.407919i
\(285\) −5.59659e38 3.80194e38i −0.295397 0.200672i
\(286\) −9.18724e38 −0.458488
\(287\) −1.73606e39 1.73606e39i −0.819320 0.819320i
\(288\) 3.69295e38 3.69295e38i 0.164852 0.164852i
\(289\) 5.97351e38i 0.252269i
\(290\) 8.16787e38 1.20234e39i 0.326393 0.480462i
\(291\) −1.05054e39 −0.397304
\(292\) 3.67521e38 + 3.67521e38i 0.131570 + 0.131570i
\(293\) −2.56802e39 + 2.56802e39i −0.870394 + 0.870394i −0.992515 0.122121i \(-0.961030\pi\)
0.122121 + 0.992515i \(0.461030\pi\)
\(294\) 3.47231e39i 1.11445i
\(295\) −5.13985e38 2.69173e39i −0.156242 0.818236i
\(296\) −2.30315e39 −0.663217
\(297\) −1.52384e39 1.52384e39i −0.415752 0.415752i
\(298\) 5.75312e38 5.75312e38i 0.148745 0.148745i
\(299\) 4.89014e39i 1.19835i
\(300\) 2.51783e39 + 1.08847e39i 0.584907 + 0.252858i
\(301\) −2.12409e38 −0.0467853
\(302\) 1.06154e39 + 1.06154e39i 0.221730 + 0.221730i
\(303\) 1.15589e39 1.15589e39i 0.229000 0.229000i
\(304\) 5.34827e38i 0.100516i
\(305\) 2.13472e39 4.07625e38i 0.380666 0.0726881i
\(306\) 7.81943e38 0.132322
\(307\) −2.47399e39 2.47399e39i −0.397361 0.397361i 0.479940 0.877301i \(-0.340658\pi\)
−0.877301 + 0.479940i \(0.840658\pi\)
\(308\) 3.37921e39 3.37921e39i 0.515233 0.515233i
\(309\) 7.14035e39i 1.03367i
\(310\) 3.29273e39 + 2.23685e39i 0.452656 + 0.307504i
\(311\) 1.10049e40 1.43688 0.718438 0.695591i \(-0.244858\pi\)
0.718438 + 0.695591i \(0.244858\pi\)
\(312\) −7.27562e39 7.27562e39i −0.902395 0.902395i
\(313\) −1.02390e40 + 1.02390e40i −1.20656 + 1.20656i −0.234426 + 0.972134i \(0.575321\pi\)
−0.972134 + 0.234426i \(0.924679\pi\)
\(314\) 5.05930e39i 0.566521i
\(315\) 2.19366e39 3.22914e39i 0.233454 0.343652i
\(316\) 3.92209e39 0.396757
\(317\) 6.52521e39 + 6.52521e39i 0.627547 + 0.627547i 0.947450 0.319903i \(-0.103650\pi\)
−0.319903 + 0.947450i \(0.603650\pi\)
\(318\) −5.57326e38 + 5.57326e38i −0.0509654 + 0.0509654i
\(319\) 6.92933e39i 0.602615i
\(320\) 6.72747e38 + 3.52316e39i 0.0556483 + 0.291429i
\(321\) 7.08719e39 0.557691
\(322\) 6.86225e39 + 6.86225e39i 0.513774 + 0.513774i
\(323\) −4.50537e39 + 4.50537e39i −0.320989 + 0.320989i
\(324\) 7.73246e39i 0.524321i
\(325\) −9.83797e39 + 2.27571e40i −0.634997 + 1.46887i
\(326\) −4.39126e39 −0.269841
\(327\) −1.06667e40 1.06667e40i −0.624120 0.624120i
\(328\) −7.21438e39 + 7.21438e39i −0.401992 + 0.401992i
\(329\) 6.38233e40i 3.38723i
\(330\) 4.90044e39 9.35739e38i 0.247749 0.0473077i
\(331\) −1.86125e40 −0.896512 −0.448256 0.893905i \(-0.647955\pi\)
−0.448256 + 0.893905i \(0.647955\pi\)
\(332\) −2.41382e39 2.41382e39i −0.110789 0.110789i
\(333\) 2.66303e39 2.66303e39i 0.116484 0.116484i
\(334\) 4.84656e39i 0.202065i
\(335\) 2.83065e40 + 1.92295e40i 1.12504 + 0.764277i
\(336\) 1.06284e40 0.402755
\(337\) −1.88141e40 1.88141e40i −0.679838 0.679838i 0.280125 0.959963i \(-0.409624\pi\)
−0.959963 + 0.280125i \(0.909624\pi\)
\(338\) 1.68297e40 1.68297e40i 0.579975 0.579975i
\(339\) 2.48754e39i 0.0817664i
\(340\) 1.45157e40 2.13677e40i 0.455173 0.670030i
\(341\) −1.89767e40 −0.567740
\(342\) 1.18807e39 + 1.18807e39i 0.0339175 + 0.0339175i
\(343\) −6.75167e40 + 6.75167e40i −1.83952 + 1.83952i
\(344\) 8.82691e38i 0.0229548i
\(345\) −4.98071e39 2.60839e40i −0.123648 0.647540i
\(346\) −7.44734e39 −0.176516
\(347\) 4.92168e39 + 4.92168e39i 0.111389 + 0.111389i 0.760604 0.649216i \(-0.224903\pi\)
−0.649216 + 0.760604i \(0.724903\pi\)
\(348\) −2.30421e40 + 2.30421e40i −0.498029 + 0.498029i
\(349\) 7.61296e39i 0.157162i −0.996908 0.0785808i \(-0.974961\pi\)
0.996908 0.0785808i \(-0.0250389\pi\)
\(350\) 1.81291e40 + 4.57400e40i 0.357510 + 0.902002i
\(351\) 9.15986e40 1.72574
\(352\) −2.21888e40 2.21888e40i −0.399440 0.399440i
\(353\) 3.37734e40 3.37734e40i 0.581005 0.581005i −0.354175 0.935179i \(-0.615238\pi\)
0.935179 + 0.354175i \(0.115238\pi\)
\(354\) 2.34388e40i 0.385374i
\(355\) −3.52215e40 + 6.72554e39i −0.553547 + 0.105700i
\(356\) −1.48666e40 −0.223363
\(357\) 8.95335e40 + 8.95335e40i 1.28616 + 1.28616i
\(358\) −1.27375e40 + 1.27375e40i −0.174967 + 0.174967i
\(359\) 5.02832e40i 0.660559i −0.943883 0.330280i \(-0.892857\pi\)
0.943883 0.330280i \(-0.107143\pi\)
\(360\) −1.34191e40 9.11600e39i −0.168610 0.114542i
\(361\) 6.95077e40 0.835445
\(362\) −3.62116e40 3.62116e40i −0.416400 0.416400i
\(363\) 3.97593e40 3.97593e40i 0.437454 0.437454i
\(364\) 2.03126e41i 2.13867i
\(365\) 1.43350e40 2.11016e40i 0.144448 0.212633i
\(366\) 1.85885e40 0.179286
\(367\) 8.72557e39 + 8.72557e39i 0.0805632 + 0.0805632i 0.746240 0.665677i \(-0.231857\pi\)
−0.665677 + 0.746240i \(0.731857\pi\)
\(368\) −1.48431e40 + 1.48431e40i −0.131208 + 0.131208i
\(369\) 1.66833e40i 0.141208i
\(370\) 8.90284e39 + 4.66240e40i 0.0721607 + 0.377904i
\(371\) 3.70560e40 0.287658
\(372\) −6.31031e40 6.31031e40i −0.469206 0.469206i
\(373\) −5.50332e40 + 5.50332e40i −0.391998 + 0.391998i −0.875399 0.483401i \(-0.839401\pi\)
0.483401 + 0.875399i \(0.339401\pi\)
\(374\) 4.69824e40i 0.320620i
\(375\) 2.92969e40 1.31406e41i 0.191567 0.859239i
\(376\) −2.65225e41 −1.66192
\(377\) −2.08263e41 2.08263e41i −1.25069 1.25069i
\(378\) 1.28539e41 1.28539e41i 0.739886 0.739886i
\(379\) 3.09340e41i 1.70690i 0.521174 + 0.853451i \(0.325494\pi\)
−0.521174 + 0.853451i \(0.674506\pi\)
\(380\) 5.45206e40 1.04107e40i 0.288418 0.0550734i
\(381\) −3.50372e40 −0.177717
\(382\) 5.33763e40 + 5.33763e40i 0.259618 + 0.259618i
\(383\) 1.77767e41 1.77767e41i 0.829222 0.829222i −0.158187 0.987409i \(-0.550565\pi\)
0.987409 + 0.158187i \(0.0505649\pi\)
\(384\) 1.73191e41i 0.774863i
\(385\) −1.94021e41 1.31804e41i −0.832677 0.565664i
\(386\) −2.27622e41 −0.937169
\(387\) −1.02061e39 1.02061e39i −0.00403168 0.00403168i
\(388\) 6.09412e40 6.09412e40i 0.230996 0.230996i
\(389\) 7.04649e40i 0.256318i −0.991754 0.128159i \(-0.959093\pi\)
0.991754 0.128159i \(-0.0409068\pi\)
\(390\) −1.19160e41 + 1.75408e41i −0.416004 + 0.612373i
\(391\) −2.50076e41 −0.838000
\(392\) 4.79704e41 + 4.79704e41i 1.54311 + 1.54311i
\(393\) −6.38205e40 + 6.38205e40i −0.197097 + 0.197097i
\(394\) 1.59922e40i 0.0474207i
\(395\) −3.61058e40 1.89085e41i −0.102807 0.538399i
\(396\) 3.24738e40 0.0887993
\(397\) 3.88000e41 + 3.88000e41i 1.01902 + 1.01902i 0.999816 + 0.0192058i \(0.00611376\pi\)
0.0192058 + 0.999816i \(0.493886\pi\)
\(398\) 1.94949e40 1.94949e40i 0.0491804 0.0491804i
\(399\) 2.72071e41i 0.659351i
\(400\) −9.89363e40 + 3.92136e40i −0.230354 + 0.0913012i
\(401\) 8.07416e41 1.80629 0.903145 0.429336i \(-0.141252\pi\)
0.903145 + 0.429336i \(0.141252\pi\)
\(402\) 2.06964e41 + 2.06964e41i 0.444917 + 0.444917i
\(403\) 5.70349e41 5.70349e41i 1.17831 1.17831i
\(404\) 1.34106e41i 0.266285i
\(405\) −3.72784e41 + 7.11831e40i −0.711504 + 0.135862i
\(406\) −5.84503e41 −1.07243
\(407\) −1.60006e41 1.60006e41i −0.282245 0.282245i
\(408\) 3.72067e41 3.72067e41i 0.631042 0.631042i
\(409\) 1.84702e40i 0.0301231i −0.999887 0.0150616i \(-0.995206\pi\)
0.999887 0.0150616i \(-0.00479442\pi\)
\(410\) 1.73932e41 + 1.18157e41i 0.272795 + 0.185319i
\(411\) −9.14355e41 −1.37926
\(412\) −4.14210e41 4.14210e41i −0.600986 0.600986i
\(413\) −7.79209e41 + 7.79209e41i −1.08756 + 1.08756i
\(414\) 6.59453e40i 0.0885480i
\(415\) −9.41499e40 + 1.38592e41i −0.121633 + 0.179048i
\(416\) 1.33378e42 1.65803
\(417\) 4.65997e41 + 4.65997e41i 0.557451 + 0.557451i
\(418\) 7.13843e40 7.13843e40i 0.0821830 0.0821830i
\(419\) 1.14625e42i 1.27015i 0.772450 + 0.635075i \(0.219031\pi\)
−0.772450 + 0.635075i \(0.780969\pi\)
\(420\) −2.06888e41 1.08347e42i −0.220672 1.15565i
\(421\) 6.28686e41 0.645536 0.322768 0.946478i \(-0.395387\pi\)
0.322768 + 0.946478i \(0.395387\pi\)
\(422\) −6.62285e41 6.62285e41i −0.654705 0.654705i
\(423\) 3.06667e41 3.06667e41i 0.291891 0.291891i
\(424\) 1.53990e41i 0.141137i
\(425\) −1.16377e42 5.03102e41i −1.02717 0.444052i
\(426\) −3.06698e41 −0.260710
\(427\) −6.17966e41 6.17966e41i −0.505962 0.505962i
\(428\) −4.11126e41 + 4.11126e41i −0.324246 + 0.324246i
\(429\) 1.01091e42i 0.768063i
\(430\) 1.78688e40 3.41204e39i 0.0130797 0.00249758i
\(431\) −6.17023e41 −0.435176 −0.217588 0.976041i \(-0.569819\pi\)
−0.217588 + 0.976041i \(0.569819\pi\)
\(432\) 2.78031e41 + 2.78031e41i 0.188953 + 0.188953i
\(433\) −1.34665e41 + 1.34665e41i −0.0881961 + 0.0881961i −0.749828 0.661632i \(-0.769864\pi\)
0.661632 + 0.749828i \(0.269864\pi\)
\(434\) 1.60072e42i 1.01037i
\(435\) 1.32299e42 + 8.98747e41i 0.804874 + 0.546776i
\(436\) 1.23755e42 0.725736
\(437\) −3.79961e41 3.79961e41i −0.214801 0.214801i
\(438\) 1.54286e41 1.54286e41i 0.0840892 0.0840892i
\(439\) 4.39229e40i 0.0230812i −0.999933 0.0115406i \(-0.996326\pi\)
0.999933 0.0115406i \(-0.00367357\pi\)
\(440\) −5.47728e41 + 8.06275e41i −0.277538 + 0.408545i
\(441\) −1.10932e42 −0.542049
\(442\) 1.41207e42 + 1.41207e42i 0.665427 + 0.665427i
\(443\) −1.49466e42 + 1.49466e42i −0.679332 + 0.679332i −0.959849 0.280517i \(-0.909494\pi\)
0.280517 + 0.959849i \(0.409494\pi\)
\(444\) 1.06414e42i 0.466520i
\(445\) 1.36858e41 + 7.16723e41i 0.0578776 + 0.303104i
\(446\) 1.95912e41 0.0799287
\(447\) 6.33041e41 + 6.33041e41i 0.249179 + 0.249179i
\(448\) 1.01989e42 1.01989e42i 0.387353 0.387353i
\(449\) 2.13933e42i 0.784036i 0.919958 + 0.392018i \(0.128223\pi\)
−0.919958 + 0.392018i \(0.871777\pi\)
\(450\) −1.32669e41 + 3.06887e41i −0.0469211 + 0.108537i
\(451\) −1.00240e42 −0.342151
\(452\) −1.44301e41 1.44301e41i −0.0475396 0.0475396i
\(453\) −1.16806e42 + 1.16806e42i −0.371444 + 0.371444i
\(454\) 4.26830e41i 0.131027i
\(455\) 9.79277e42 1.86993e42i 2.90217 0.554170i
\(456\) 1.13062e42 0.323504
\(457\) −1.54106e42 1.54106e42i −0.425755 0.425755i 0.461424 0.887179i \(-0.347339\pi\)
−0.887179 + 0.461424i \(0.847339\pi\)
\(458\) −2.47397e42 + 2.47397e42i −0.660004 + 0.660004i
\(459\) 4.68424e42i 1.20680i
\(460\) 1.80205e42 + 1.22419e42i 0.448374 + 0.304595i
\(461\) −3.18592e41 −0.0765632 −0.0382816 0.999267i \(-0.512188\pi\)
−0.0382816 + 0.999267i \(0.512188\pi\)
\(462\) −1.41859e42 1.41859e42i −0.329296 0.329296i
\(463\) 2.12849e42 2.12849e42i 0.477283 0.477283i −0.426979 0.904262i \(-0.640422\pi\)
0.904262 + 0.426979i \(0.140422\pi\)
\(464\) 1.26429e42i 0.273879i
\(465\) −2.46131e42 + 3.62313e42i −0.515133 + 0.758293i
\(466\) −5.48100e41 −0.110837
\(467\) −6.64052e42 6.64052e42i −1.29757 1.29757i −0.929991 0.367581i \(-0.880186\pi\)
−0.367581 0.929991i \(-0.619814\pi\)
\(468\) −9.76008e41 + 9.76008e41i −0.184298 + 0.184298i
\(469\) 1.37608e43i 2.51119i
\(470\) 1.02523e42 + 5.36909e42i 0.180823 + 0.946967i
\(471\) 5.56697e42 0.949040
\(472\) 3.23809e42 + 3.23809e42i 0.533601 + 0.533601i
\(473\) −6.13228e40 + 6.13228e40i −0.00976886 + 0.00976886i
\(474\) 1.64650e42i 0.253576i
\(475\) −1.00381e42 2.53262e42i −0.149469 0.377113i
\(476\) −1.03876e43 −1.49556
\(477\) 1.78052e41 + 1.78052e41i 0.0247886 + 0.0247886i
\(478\) −3.33677e42 + 3.33677e42i −0.449242 + 0.449242i
\(479\) 3.00551e41i 0.0391337i −0.999809 0.0195668i \(-0.993771\pi\)
0.999809 0.0195668i \(-0.00622872\pi\)
\(480\) −7.11435e42 + 1.35849e42i −0.895933 + 0.171078i
\(481\) 9.61806e42 1.17156
\(482\) −3.74724e42 3.74724e42i −0.441529 0.441529i
\(483\) −7.55083e42 + 7.55083e42i −0.860678 + 0.860678i
\(484\) 4.61285e42i 0.508679i
\(485\) −3.49901e42 2.37699e42i −0.373316 0.253606i
\(486\) 2.24359e42 0.231613
\(487\) −2.58335e42 2.58335e42i −0.258060 0.258060i 0.566205 0.824265i \(-0.308411\pi\)
−0.824265 + 0.566205i \(0.808411\pi\)
\(488\) −2.56802e42 + 2.56802e42i −0.248246 + 0.248246i
\(489\) 4.83190e42i 0.452039i
\(490\) 7.85661e42 1.15652e43i 0.711374 1.04717i
\(491\) 9.40886e42 0.824580 0.412290 0.911053i \(-0.364729\pi\)
0.412290 + 0.911053i \(0.364729\pi\)
\(492\) −3.33330e42 3.33330e42i −0.282769 0.282769i
\(493\) 1.06503e43 1.06503e43i 0.874605 0.874605i
\(494\) 4.29095e42i 0.341132i
\(495\) −2.98945e41 1.56557e42i −0.0230096 0.120501i
\(496\) 3.46238e42 0.258029
\(497\) 1.01960e43 + 1.01960e43i 0.735747 + 0.735747i
\(498\) −1.01332e42 + 1.01332e42i −0.0708074 + 0.0708074i
\(499\) 1.78058e43i 1.20491i 0.798154 + 0.602453i \(0.205810\pi\)
−0.798154 + 0.602453i \(0.794190\pi\)
\(500\) 5.92330e42 + 9.32230e42i 0.388189 + 0.610947i
\(501\) −5.33289e42 −0.338500
\(502\) 5.12729e42 + 5.12729e42i 0.315231 + 0.315231i
\(503\) −5.49096e42 + 5.49096e42i −0.327009 + 0.327009i −0.851448 0.524439i \(-0.824275\pi\)
0.524439 + 0.851448i \(0.324275\pi\)
\(504\) 6.52352e42i 0.376351i
\(505\) 6.46530e42 1.23455e42i 0.361349 0.0689995i
\(506\) 3.96228e42 0.214554
\(507\) 1.85185e43 + 1.85185e43i 0.971578 + 0.971578i
\(508\) 2.03250e42 2.03250e42i 0.103326 0.103326i
\(509\) 2.47585e43i 1.21966i −0.792531 0.609831i \(-0.791237\pi\)
0.792531 0.609831i \(-0.208763\pi\)
\(510\) −8.97016e42 6.09372e42i −0.428230 0.290911i
\(511\) −1.02583e43 −0.474615
\(512\) 7.58811e42 + 7.58811e42i 0.340263 + 0.340263i
\(513\) −7.11716e42 + 7.11716e42i −0.309335 + 0.309335i
\(514\) 3.25219e42i 0.137014i
\(515\) −1.61561e43 + 2.37823e43i −0.659812 + 0.971266i
\(516\) −4.07834e41 −0.0161469
\(517\) −1.84259e43 1.84259e43i −0.707260 0.707260i
\(518\) 1.34968e43 1.34968e43i 0.502292 0.502292i
\(519\) 8.19464e42i 0.295701i
\(520\) −7.77070e42 4.06950e43i −0.271898 1.42392i
\(521\) −4.87360e43 −1.65366 −0.826831 0.562451i \(-0.809858\pi\)
−0.826831 + 0.562451i \(0.809858\pi\)
\(522\) −2.80850e42 2.80850e42i −0.0924158 0.0924158i
\(523\) 4.12764e43 4.12764e43i 1.31727 1.31727i 0.401341 0.915929i \(-0.368544\pi\)
0.915929 0.401341i \(-0.131456\pi\)
\(524\) 7.40442e42i 0.229187i
\(525\) −5.03298e43 + 1.99483e43i −1.51104 + 0.598903i
\(526\) 2.49139e43 0.725554
\(527\) 2.91670e43 + 2.91670e43i 0.823989 + 0.823989i
\(528\) 3.06844e42 3.06844e42i 0.0840959 0.0840959i
\(529\) 1.65187e43i 0.439222i
\(530\) −3.11731e42 + 5.95250e41i −0.0804203 + 0.0153562i
\(531\) −7.48810e42 −0.187439
\(532\) −1.57828e43 1.57828e43i −0.383352 0.383352i
\(533\) 3.01275e43 3.01275e43i 0.710114 0.710114i
\(534\) 6.24101e42i 0.142756i
\(535\) 2.36052e43 + 1.60358e43i 0.524020 + 0.355983i
\(536\) −5.71847e43 −1.23209
\(537\) −1.40156e43 1.40156e43i −0.293105 0.293105i
\(538\) −2.84511e43 + 2.84511e43i −0.577541 + 0.577541i
\(539\) 6.66526e43i 1.31340i
\(540\) 2.29306e43 3.37546e43i 0.438647 0.645703i
\(541\) −4.08446e43 −0.758539 −0.379270 0.925286i \(-0.623825\pi\)
−0.379270 + 0.925286i \(0.623825\pi\)
\(542\) −2.18768e43 2.18768e43i −0.394453 0.394453i
\(543\) 3.98453e43 3.98453e43i 0.697557 0.697557i
\(544\) 6.82081e43i 1.15945i
\(545\) −1.13926e43 5.96627e43i −0.188052 0.984824i
\(546\) 8.52725e43 1.36687
\(547\) 2.40012e43 + 2.40012e43i 0.373624 + 0.373624i 0.868795 0.495171i \(-0.164895\pi\)
−0.495171 + 0.868795i \(0.664895\pi\)
\(548\) 5.30414e43 5.30414e43i 0.801911 0.801911i
\(549\) 5.93857e42i 0.0872016i
\(550\) 1.84391e43 + 7.97130e42i 0.262988 + 0.113691i
\(551\) 3.23638e43 0.448367
\(552\) 3.13783e43 + 3.13783e43i 0.422284 + 0.422284i
\(553\) −5.47370e43 + 5.47370e43i −0.715614 + 0.715614i
\(554\) 5.84951e43i 0.742956i
\(555\) −5.13024e43 + 9.79619e42i −0.633068 + 0.120884i
\(556\) −5.40647e43 −0.648213
\(557\) −9.45662e42 9.45662e42i −0.110167 0.110167i 0.649874 0.760042i \(-0.274822\pi\)
−0.760042 + 0.649874i \(0.774822\pi\)
\(558\) 7.69136e42 7.69136e42i 0.0870674 0.0870674i
\(559\) 3.68615e42i 0.0405494i
\(560\) 3.54000e43 + 2.40484e43i 0.378438 + 0.257085i
\(561\) 5.16969e43 0.537104
\(562\) −3.53491e41 3.53491e41i −0.00356941 0.00356941i
\(563\) −9.07140e43 + 9.07140e43i −0.890307 + 0.890307i −0.994552 0.104244i \(-0.966758\pi\)
0.104244 + 0.994552i \(0.466758\pi\)
\(564\) 1.22543e44i 1.16902i
\(565\) −5.62841e42 + 8.28522e42i −0.0521928 + 0.0768296i
\(566\) 6.40836e42 0.0577675
\(567\) 1.07915e44 + 1.07915e44i 0.945696 + 0.945696i
\(568\) 4.23707e43 4.23707e43i 0.360988 0.360988i
\(569\) 7.28203e43i 0.603193i 0.953436 + 0.301597i \(0.0975195\pi\)
−0.953436 + 0.301597i \(0.902480\pi\)
\(570\) −4.37042e42 2.28878e43i −0.0351986 0.184334i
\(571\) 3.37780e43 0.264519 0.132259 0.991215i \(-0.457777\pi\)
0.132259 + 0.991215i \(0.457777\pi\)
\(572\) 5.86427e43 + 5.86427e43i 0.446558 + 0.446558i
\(573\) −5.87323e43 + 5.87323e43i −0.434913 + 0.434913i
\(574\) 8.45548e43i 0.608903i
\(575\) 4.24293e43 9.81468e43i 0.297153 0.687370i
\(576\) 9.80105e42 0.0667595
\(577\) −1.73966e44 1.73966e44i −1.15253 1.15253i −0.986045 0.166481i \(-0.946760\pi\)
−0.166481 0.986045i \(-0.553240\pi\)
\(578\) −1.45470e43 + 1.45470e43i −0.0937407 + 0.0937407i
\(579\) 2.50463e44i 1.56995i
\(580\) −1.28882e44 + 2.46100e43i −0.785859 + 0.150060i
\(581\) 6.73748e43 0.399650
\(582\) −2.55832e43 2.55832e43i −0.147634 0.147634i
\(583\) 1.06981e43 1.06981e43i 0.0600634 0.0600634i
\(584\) 4.26295e43i 0.232865i
\(585\) 5.60385e43 + 3.80688e43i 0.297847 + 0.202337i
\(586\) −1.25075e44 −0.646860
\(587\) −2.56273e44 2.56273e44i −1.28971 1.28971i −0.934960 0.354753i \(-0.884565\pi\)
−0.354753 0.934960i \(-0.615435\pi\)
\(588\) −2.21640e44 + 2.21640e44i −1.08545 + 1.08545i
\(589\) 8.86315e43i 0.422419i
\(590\) 5.30335e43 7.80672e43i 0.245991 0.362107i
\(591\) 1.75969e43 0.0794395
\(592\) 2.91939e43 + 2.91939e43i 0.128276 + 0.128276i
\(593\) 2.88770e44 2.88770e44i 1.23503 1.23503i 0.273019 0.962009i \(-0.411978\pi\)
0.962009 0.273019i \(-0.0880222\pi\)
\(594\) 7.42185e43i 0.308979i
\(595\) 9.56260e43 + 5.00791e44i 0.387529 + 2.02948i
\(596\) −7.34450e43 −0.289749
\(597\) 2.14511e43 + 2.14511e43i 0.0823873 + 0.0823873i
\(598\) −1.19087e44 + 1.19087e44i −0.445294 + 0.445294i
\(599\) 2.46189e43i 0.0896272i −0.998995 0.0448136i \(-0.985731\pi\)
0.998995 0.0448136i \(-0.0142694\pi\)
\(600\) 8.28973e43 + 2.09151e44i 0.293846 + 0.741378i
\(601\) −2.45622e44 −0.847766 −0.423883 0.905717i \(-0.639333\pi\)
−0.423883 + 0.905717i \(0.639333\pi\)
\(602\) −5.17271e42 5.17271e42i −0.0173850 0.0173850i
\(603\) 6.61200e43 6.61200e43i 0.216399 0.216399i
\(604\) 1.35517e44i 0.431921i
\(605\) 2.22387e44 4.24648e43i 0.690277 0.131808i
\(606\) 5.62979e43 0.170188
\(607\) 4.17327e44 + 4.17327e44i 1.22873 + 1.22873i 0.964443 + 0.264290i \(0.0851377\pi\)
0.264290 + 0.964443i \(0.414862\pi\)
\(608\) −1.03634e44 + 1.03634e44i −0.297198 + 0.297198i
\(609\) 6.43154e44i 1.79655i
\(610\) 6.19126e43 + 4.20592e43i 0.168462 + 0.114441i
\(611\) 1.10759e45 2.93575
\(612\) −4.99119e43 4.99119e43i −0.128879 0.128879i
\(613\) −5.37853e44 + 5.37853e44i −1.35299 + 1.35299i −0.470701 + 0.882293i \(0.655999\pi\)
−0.882293 + 0.470701i \(0.844001\pi\)
\(614\) 1.20496e44i 0.295311i
\(615\) −1.30014e44 + 1.91385e44i −0.310447 + 0.456989i
\(616\) 3.91961e44 0.911909
\(617\) −4.60623e44 4.60623e44i −1.04420 1.04420i −0.998977 0.0452218i \(-0.985601\pi\)
−0.0452218 0.998977i \(-0.514399\pi\)
\(618\) −1.73886e44 + 1.73886e44i −0.384103 + 0.384103i
\(619\) 4.15240e44i 0.893817i 0.894580 + 0.446909i \(0.147475\pi\)
−0.894580 + 0.446909i \(0.852525\pi\)
\(620\) −6.73970e43 3.52957e44i −0.141375 0.740379i
\(621\) −3.95047e44 −0.807575
\(622\) 2.67997e44 + 2.67997e44i 0.533929 + 0.533929i
\(623\) 2.07479e44 2.07479e44i 0.402871 0.402871i
\(624\) 1.84446e44i 0.349072i
\(625\) 3.94903e44 3.71383e44i 0.728467 0.685081i
\(626\) −4.98692e44 −0.896691
\(627\) 7.85473e43 + 7.85473e43i 0.137674 + 0.137674i
\(628\) −3.22938e44 + 3.22938e44i −0.551779 + 0.551779i
\(629\) 4.91856e44i 0.819271i
\(630\) 1.32059e44 2.52167e43i 0.214447 0.0409486i
\(631\) −1.70933e44 −0.270618 −0.135309 0.990803i \(-0.543203\pi\)
−0.135309 + 0.990803i \(0.543203\pi\)
\(632\) 2.27466e44 + 2.27466e44i 0.351109 + 0.351109i
\(633\) 7.28741e44 7.28741e44i 1.09677 1.09677i
\(634\) 3.17811e44i 0.466381i
\(635\) −1.16698e44 7.92767e43i −0.166988 0.113440i
\(636\) 7.11489e43 0.0992783
\(637\) −2.00326e45 2.00326e45i −2.72588 2.72588i
\(638\) −1.68747e44 + 1.68747e44i −0.223926 + 0.223926i
\(639\) 9.79825e43i 0.126805i
\(640\) 3.91869e44 5.76844e44i 0.494608 0.728080i
\(641\) −1.41918e45 −1.74706 −0.873530 0.486770i \(-0.838175\pi\)
−0.873530 + 0.486770i \(0.838175\pi\)
\(642\) 1.72591e44 + 1.72591e44i 0.207232 + 0.207232i
\(643\) −4.55857e44 + 4.55857e44i −0.533892 + 0.533892i −0.921728 0.387836i \(-0.873223\pi\)
0.387836 + 0.921728i \(0.373223\pi\)
\(644\) 8.76043e44i 1.00081i
\(645\) 3.75442e42 + 1.96618e43i 0.00418396 + 0.0219113i
\(646\) −2.19434e44 −0.238553
\(647\) 1.10010e45 + 1.10010e45i 1.16671 + 1.16671i 0.982975 + 0.183737i \(0.0588196\pi\)
0.183737 + 0.982975i \(0.441180\pi\)
\(648\) 4.48451e44 4.48451e44i 0.463997 0.463997i
\(649\) 4.49917e44i 0.454169i
\(650\) −7.93772e44 + 3.14613e44i −0.781775 + 0.309858i
\(651\) 1.76134e45 1.69258
\(652\) 2.80297e44 + 2.80297e44i 0.262819 + 0.262819i
\(653\) 3.40447e44 3.40447e44i 0.311486 0.311486i −0.533999 0.845485i \(-0.679312\pi\)
0.845485 + 0.533999i \(0.179312\pi\)
\(654\) 5.19525e44i 0.463833i
\(655\) −3.56969e44 + 6.81633e43i −0.311007 + 0.0593868i
\(656\) 1.82893e44 0.155502
\(657\) −4.92905e43 4.92905e43i −0.0408994 0.0408994i
\(658\) 1.55426e45 1.55426e45i 1.25866 1.25866i
\(659\) 1.79663e45i 1.42001i 0.704197 + 0.710005i \(0.251307\pi\)
−0.704197 + 0.710005i \(0.748693\pi\)
\(660\) −3.72527e44 2.53070e44i −0.287379 0.195226i
\(661\) 1.36703e44 0.102933 0.0514664 0.998675i \(-0.483611\pi\)
0.0514664 + 0.998675i \(0.483611\pi\)
\(662\) −4.53261e44 4.53261e44i −0.333135 0.333135i
\(663\) −1.55376e45 + 1.55376e45i −1.11473 + 1.11473i
\(664\) 2.79983e44i 0.196084i
\(665\) −6.15600e44 + 9.06185e44i −0.420874 + 0.619542i
\(666\) 1.29703e44 0.0865690
\(667\) 8.98197e44 + 8.98197e44i 0.585273 + 0.585273i
\(668\) 3.09359e44 3.09359e44i 0.196807 0.196807i
\(669\) 2.15570e44i 0.133897i
\(670\) 2.21048e44 + 1.15762e45i 0.134057 + 0.702052i
\(671\) −3.56815e44 −0.211292
\(672\) 2.05948e45 + 2.05948e45i 1.19083 + 1.19083i
\(673\) 1.62702e45 1.62702e45i 0.918656 0.918656i −0.0782760 0.996932i \(-0.524942\pi\)
0.996932 + 0.0782760i \(0.0249415\pi\)
\(674\) 9.16343e44i 0.505242i
\(675\) −1.83841e45 7.94754e44i −0.989881 0.427930i
\(676\) −2.14850e45 −1.12977
\(677\) 1.45909e45 + 1.45909e45i 0.749313 + 0.749313i 0.974350 0.225037i \(-0.0722503\pi\)
−0.225037 + 0.974350i \(0.572250\pi\)
\(678\) −6.05779e43 + 6.05779e43i −0.0303836 + 0.0303836i
\(679\) 1.70100e45i 0.833274i
\(680\) 2.08109e45 3.97384e44i 0.995746 0.190138i
\(681\) 4.69660e44 0.219498
\(682\) −4.62130e44 4.62130e44i −0.210967 0.210967i
\(683\) 2.06851e45 2.06851e45i 0.922414 0.922414i −0.0747859 0.997200i \(-0.523827\pi\)
0.997200 + 0.0747859i \(0.0238273\pi\)
\(684\) 1.51670e44i 0.0660699i
\(685\) −3.04543e45 2.06886e45i −1.29598 0.880403i
\(686\) −3.28841e45 −1.36710
\(687\) −2.72222e45 2.72222e45i −1.10564 1.10564i
\(688\) 1.11886e43 1.11886e43i 0.00443979 0.00443979i
\(689\) 6.43069e44i 0.249316i
\(690\) 5.13915e44 7.56501e44i 0.194673 0.286566i
\(691\) 4.07782e45 1.50931 0.754656 0.656120i \(-0.227804\pi\)
0.754656 + 0.656120i \(0.227804\pi\)
\(692\) 4.75369e44 + 4.75369e44i 0.171923 + 0.171923i
\(693\) −4.53206e44 + 4.53206e44i −0.160164 + 0.160164i
\(694\) 2.39711e44i 0.0827820i
\(695\) 4.97707e44 + 2.60648e45i 0.167964 + 0.879624i
\(696\) −2.67270e45 −0.881459
\(697\) 1.54069e45 + 1.54069e45i 0.496581 + 0.496581i
\(698\) 1.85395e44 1.85395e44i 0.0583997 0.0583997i
\(699\) 6.03098e44i 0.185675i
\(700\) 1.76242e45 4.07681e45i 0.530324 1.22674i
\(701\) −2.35650e45 −0.693073 −0.346536 0.938037i \(-0.612642\pi\)
−0.346536 + 0.938037i \(0.612642\pi\)
\(702\) 2.23066e45 + 2.23066e45i 0.641267 + 0.641267i
\(703\) −7.47317e44 + 7.47317e44i −0.210000 + 0.210000i
\(704\) 5.88889e44i 0.161760i
\(705\) −5.90785e45 + 1.12810e45i −1.58637 + 0.302916i
\(706\) 1.64494e45 0.431791
\(707\) −1.87159e45 1.87159e45i −0.480287 0.480287i
\(708\) −1.49611e45 + 1.49611e45i −0.375346 + 0.375346i
\(709\) 5.86354e45i 1.43820i −0.694905 0.719102i \(-0.744553\pi\)
0.694905 0.719102i \(-0.255447\pi\)
\(710\) −1.02152e45 6.93949e44i −0.244969 0.166415i
\(711\) −5.26015e44 −0.123335
\(712\) −8.62202e44 8.62202e44i −0.197665 0.197665i
\(713\) −2.45980e45 + 2.45980e45i −0.551401 + 0.551401i
\(714\) 4.36074e45i 0.955847i
\(715\) 2.28733e45 3.36704e45i 0.490267 0.721691i
\(716\) 1.62608e45 0.340827
\(717\) −3.67160e45 3.67160e45i −0.752573 0.752573i
\(718\) 1.22452e45 1.22452e45i 0.245457 0.245457i
\(719\) 1.65804e45i 0.325038i −0.986705 0.162519i \(-0.948038\pi\)
0.986705 0.162519i \(-0.0519618\pi\)
\(720\) 5.45440e43 + 2.85646e44i 0.0104575 + 0.0547656i
\(721\) 1.15615e46 2.16795
\(722\) 1.69269e45 + 1.69269e45i 0.310443 + 0.310443i
\(723\) 4.12326e45 4.12326e45i 0.739652 0.739652i
\(724\) 4.62282e45i 0.811130i
\(725\) 2.37292e45 + 5.98690e45i 0.407262 + 1.02753i
\(726\) 1.93648e45 0.325107
\(727\) 2.36251e43 + 2.36251e43i 0.00387993 + 0.00387993i 0.709044 0.705164i \(-0.249127\pi\)
−0.705164 + 0.709044i \(0.749127\pi\)
\(728\) −1.17805e46 + 1.17805e46i −1.89261 + 1.89261i
\(729\) 7.07759e45i 1.11236i
\(730\) 8.62972e44 1.64784e44i 0.132688 0.0253367i
\(731\) 1.88505e44 0.0283560
\(732\) −1.18652e45 1.18652e45i −0.174621 0.174621i
\(733\) 4.55208e45 4.55208e45i 0.655460 0.655460i −0.298843 0.954302i \(-0.596601\pi\)
0.954302 + 0.298843i \(0.0966006\pi\)
\(734\) 4.24980e44i 0.0598730i
\(735\) 1.27257e46 + 8.64497e45i 1.75422 + 1.19170i
\(736\) −5.75234e45 −0.775889
\(737\) −3.97277e45 3.97277e45i −0.524341 0.524341i
\(738\) 4.06281e44 4.06281e44i 0.0524716 0.0524716i
\(739\) 2.32758e45i 0.294167i 0.989124 + 0.147084i \(0.0469886\pi\)
−0.989124 + 0.147084i \(0.953011\pi\)
\(740\) 2.40776e45 3.54431e45i 0.297787 0.438353i
\(741\) −4.72152e45 −0.571467
\(742\) 9.02407e44 + 9.02407e44i 0.106891 + 0.106891i
\(743\) 1.08876e46 1.08876e46i 1.26215 1.26215i 0.312104 0.950048i \(-0.398966\pi\)
0.950048 0.312104i \(-0.101034\pi\)
\(744\) 7.31946e45i 0.830447i
\(745\) 6.76117e44 + 3.54081e45i 0.0750795 + 0.393190i
\(746\) −2.68040e45 −0.291325
\(747\) 3.23732e44 + 3.23732e44i 0.0344394 + 0.0344394i
\(748\) −2.99892e45 + 2.99892e45i −0.312276 + 0.312276i
\(749\) 1.14754e46i 1.16966i
\(750\) 3.91351e45 2.48661e45i 0.390469 0.248100i
\(751\) −5.61810e45 −0.548719 −0.274360 0.961627i \(-0.588466\pi\)
−0.274360 + 0.961627i \(0.588466\pi\)
\(752\) 3.36189e45 + 3.36189e45i 0.321438 + 0.321438i
\(753\) −5.64179e45 + 5.64179e45i −0.528077 + 0.528077i<