Properties

Label 5.33.c.a.2.11
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 2.11
Character \(\chi\) \(=\) 5.2
Dual form 5.33.c.a.3.11

$q$-expansion

\(f(q)\) \(=\) \(q+(32395.0 + 32395.0i) q^{2} +(1.63684e7 - 1.63684e7i) q^{3} -2.19610e9i q^{4} +(5.30856e10 + 1.43056e11i) q^{5} +1.06051e12 q^{6} +(-2.79912e13 - 2.79912e13i) q^{7} +(2.10278e14 - 2.10278e14i) q^{8} +1.31717e15i q^{9} +O(q^{10})\) \(q+(32395.0 + 32395.0i) q^{2} +(1.63684e7 - 1.63684e7i) q^{3} -2.19610e9i q^{4} +(5.30856e10 + 1.43056e11i) q^{5} +1.06051e12 q^{6} +(-2.79912e13 - 2.79912e13i) q^{7} +(2.10278e14 - 2.10278e14i) q^{8} +1.31717e15i q^{9} +(-2.91458e15 + 6.35400e15i) q^{10} +6.58116e16 q^{11} +(-3.59466e16 - 3.59466e16i) q^{12} +(-2.99215e16 + 2.99215e16i) q^{13} -1.81355e18i q^{14} +(3.21052e18 + 1.47267e18i) q^{15} +4.19171e18 q^{16} +(-1.92770e19 - 1.92770e19i) q^{17} +(-4.26698e19 + 4.26698e19i) q^{18} -5.51904e20i q^{19} +(3.14165e20 - 1.16581e20i) q^{20} -9.16341e20 q^{21} +(2.13196e21 + 2.13196e21i) q^{22} +(3.28869e21 - 3.28869e21i) q^{23} -6.88382e21i q^{24} +(-1.76469e22 + 1.51884e22i) q^{25} -1.93861e21 q^{26} +(5.18909e22 + 5.18909e22i) q^{27} +(-6.14715e22 + 6.14715e22i) q^{28} -3.10854e23i q^{29} +(5.62976e22 + 1.51712e23i) q^{30} +1.32479e24 q^{31} +(-7.67346e23 - 7.67346e23i) q^{32} +(1.07723e24 - 1.07723e24i) q^{33} -1.24896e24i q^{34} +(2.51838e24 - 5.49023e24i) q^{35} +2.89264e24 q^{36} +(2.81341e24 + 2.81341e24i) q^{37} +(1.78789e25 - 1.78789e25i) q^{38} +9.79533e23i q^{39} +(4.12442e25 + 1.89188e25i) q^{40} +3.62740e25 q^{41} +(-2.96848e25 - 2.96848e25i) q^{42} +(1.14542e26 - 1.14542e26i) q^{43} -1.44529e26i q^{44} +(-1.88429e26 + 6.99229e25i) q^{45} +2.13074e26 q^{46} +(-7.62585e24 - 7.62585e24i) q^{47} +(6.86115e25 - 6.86115e25i) q^{48} +4.62586e26i q^{49} +(-1.06370e27 - 7.96429e25i) q^{50} -6.31068e26 q^{51} +(6.57107e25 + 6.57107e25i) q^{52} +(-4.02727e27 + 4.02727e27i) q^{53} +3.36201e27i q^{54} +(3.49364e27 + 9.41473e27i) q^{55} -1.17719e28 q^{56} +(-9.03378e27 - 9.03378e27i) q^{57} +(1.00701e28 - 1.00701e28i) q^{58} -3.60554e27i q^{59} +(3.23413e27 - 7.05062e27i) q^{60} -1.10442e28 q^{61} +(4.29166e28 + 4.29166e28i) q^{62} +(3.68692e28 - 3.68692e28i) q^{63} -6.77196e28i q^{64} +(-5.86885e27 - 2.69205e27i) q^{65} +6.97935e28 q^{66} +(5.94357e27 + 5.94357e27i) q^{67} +(-4.23343e28 + 4.23343e28i) q^{68} -1.07661e29i q^{69} +(2.59439e29 - 9.62732e28i) q^{70} -2.05516e29 q^{71} +(2.76972e29 + 2.76972e29i) q^{72} +(4.18908e29 - 4.18908e29i) q^{73} +1.82281e29i q^{74} +(-4.02416e28 + 5.37461e29i) q^{75} -1.21204e30 q^{76} +(-1.84214e30 - 1.84214e30i) q^{77} +(-3.17319e28 + 3.17319e28i) q^{78} +2.78732e30i q^{79} +(2.22519e29 + 5.99649e29i) q^{80} -7.42008e29 q^{81} +(1.17510e30 + 1.17510e30i) q^{82} +(-6.45873e30 + 6.45873e30i) q^{83} +2.01238e30i q^{84} +(1.73436e30 - 3.78103e30i) q^{85} +7.42115e30 q^{86} +(-5.08818e30 - 5.08818e30i) q^{87} +(1.38387e31 - 1.38387e31i) q^{88} +7.48910e30i q^{89} +(-8.36931e30 - 3.83901e30i) q^{90} +1.67508e30 q^{91} +(-7.22230e30 - 7.22230e30i) q^{92} +(2.16847e31 - 2.16847e31i) q^{93} -4.94078e29i q^{94} +(7.89532e31 - 2.92982e31i) q^{95} -2.51204e31 q^{96} +(-1.14137e31 - 1.14137e31i) q^{97} +(-1.49855e31 + 1.49855e31i) q^{98} +8.66852e31i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 32395.0 + 32395.0i 0.494308 + 0.494308i 0.909660 0.415353i \(-0.136342\pi\)
−0.415353 + 0.909660i \(0.636342\pi\)
\(3\) 1.63684e7 1.63684e7i 0.380247 0.380247i −0.490944 0.871191i \(-0.663348\pi\)
0.871191 + 0.490944i \(0.163348\pi\)
\(4\) 2.19610e9i 0.511319i
\(5\) 5.30856e10 + 1.43056e11i 0.347902 + 0.937531i
\(6\) 1.06051e12 0.375918
\(7\) −2.79912e13 2.79912e13i −0.842273 0.842273i 0.146881 0.989154i \(-0.453076\pi\)
−0.989154 + 0.146881i \(0.953076\pi\)
\(8\) 2.10278e14 2.10278e14i 0.747057 0.747057i
\(9\) 1.31717e15i 0.710825i
\(10\) −2.91458e15 + 6.35400e15i −0.291458 + 0.635400i
\(11\) 6.58116e16 1.43225 0.716126 0.697971i \(-0.245914\pi\)
0.716126 + 0.697971i \(0.245914\pi\)
\(12\) −3.59466e16 3.59466e16i −0.194428 0.194428i
\(13\) −2.99215e16 + 2.99215e16i −0.0449666 + 0.0449666i −0.729233 0.684266i \(-0.760123\pi\)
0.684266 + 0.729233i \(0.260123\pi\)
\(14\) 1.81355e18i 0.832684i
\(15\) 3.21052e18 + 1.47267e18i 0.488782 + 0.224205i
\(16\) 4.19171e18 0.227233
\(17\) −1.92770e19 1.92770e19i −0.396148 0.396148i 0.480724 0.876872i \(-0.340374\pi\)
−0.876872 + 0.480724i \(0.840374\pi\)
\(18\) −4.26698e19 + 4.26698e19i −0.351366 + 0.351366i
\(19\) 5.51904e20i 1.91340i −0.291073 0.956701i \(-0.594012\pi\)
0.291073 0.956701i \(-0.405988\pi\)
\(20\) 3.14165e20 1.16581e20i 0.479378 0.177889i
\(21\) −9.16341e20 −0.640543
\(22\) 2.13196e21 + 2.13196e21i 0.707973 + 0.707973i
\(23\) 3.28869e21 3.28869e21i 0.536263 0.536263i −0.386166 0.922429i \(-0.626201\pi\)
0.922429 + 0.386166i \(0.126201\pi\)
\(24\) 6.88382e21i 0.568132i
\(25\) −1.76469e22 + 1.51884e22i −0.757929 + 0.652337i
\(26\) −1.93861e21 −0.0444547
\(27\) 5.18909e22 + 5.18909e22i 0.650536 + 0.650536i
\(28\) −6.14715e22 + 6.14715e22i −0.430670 + 0.430670i
\(29\) 3.10854e23i 1.24219i −0.783734 0.621096i \(-0.786688\pi\)
0.783734 0.621096i \(-0.213312\pi\)
\(30\) 5.62976e22 + 1.51712e23i 0.130782 + 0.352435i
\(31\) 1.32479e24 1.82121 0.910606 0.413275i \(-0.135615\pi\)
0.910606 + 0.413275i \(0.135615\pi\)
\(32\) −7.67346e23 7.67346e23i −0.634734 0.634734i
\(33\) 1.07723e24 1.07723e24i 0.544609 0.544609i
\(34\) 1.24896e24i 0.391638i
\(35\) 2.51838e24 5.49023e24i 0.496629 1.08269i
\(36\) 2.89264e24 0.363459
\(37\) 2.81341e24 + 2.81341e24i 0.228037 + 0.228037i 0.811872 0.583835i \(-0.198449\pi\)
−0.583835 + 0.811872i \(0.698449\pi\)
\(38\) 1.78789e25 1.78789e25i 0.945810 0.945810i
\(39\) 9.79533e23i 0.0341968i
\(40\) 4.12442e25 + 1.89188e25i 0.960292 + 0.440487i
\(41\) 3.62740e25 0.568923 0.284462 0.958687i \(-0.408185\pi\)
0.284462 + 0.958687i \(0.408185\pi\)
\(42\) −2.96848e25 2.96848e25i −0.316625 0.316625i
\(43\) 1.14542e26 1.14542e26i 0.838433 0.838433i −0.150219 0.988653i \(-0.547998\pi\)
0.988653 + 0.150219i \(0.0479980\pi\)
\(44\) 1.44529e26i 0.732338i
\(45\) −1.88429e26 + 6.99229e25i −0.666420 + 0.247297i
\(46\) 2.13074e26 0.530158
\(47\) −7.62585e24 7.62585e24i −0.0134500 0.0134500i 0.700350 0.713800i \(-0.253027\pi\)
−0.713800 + 0.700350i \(0.753027\pi\)
\(48\) 6.86115e25 6.86115e25i 0.0864046 0.0864046i
\(49\) 4.62586e26i 0.418847i
\(50\) −1.06370e27 7.96429e25i −0.697106 0.0521948i
\(51\) −6.31068e26 −0.301268
\(52\) 6.57107e25 + 6.57107e25i 0.0229923 + 0.0229923i
\(53\) −4.02727e27 + 4.02727e27i −1.03896 + 1.03896i −0.0397458 + 0.999210i \(0.512655\pi\)
−0.999210 + 0.0397458i \(0.987345\pi\)
\(54\) 3.36201e27i 0.643130i
\(55\) 3.49364e27 + 9.41473e27i 0.498283 + 1.34278i
\(56\) −1.17719e28 −1.25845
\(57\) −9.03378e27 9.03378e27i −0.727565 0.727565i
\(58\) 1.00701e28 1.00701e28i 0.614025 0.614025i
\(59\) 3.60554e27i 0.167239i −0.996498 0.0836195i \(-0.973352\pi\)
0.996498 0.0836195i \(-0.0266480\pi\)
\(60\) 3.23413e27 7.05062e27i 0.114640 0.249924i
\(61\) −1.10442e28 −0.300509 −0.150255 0.988647i \(-0.548009\pi\)
−0.150255 + 0.988647i \(0.548009\pi\)
\(62\) 4.29166e28 + 4.29166e28i 0.900240 + 0.900240i
\(63\) 3.68692e28 3.68692e28i 0.598708 0.598708i
\(64\) 6.77196e28i 0.854741i
\(65\) −5.86885e27 2.69205e27i −0.0578015 0.0265136i
\(66\) 6.97935e28 0.538409
\(67\) 5.94357e27 + 5.94357e27i 0.0360455 + 0.0360455i 0.724900 0.688854i \(-0.241886\pi\)
−0.688854 + 0.724900i \(0.741886\pi\)
\(68\) −4.23343e28 + 4.23343e28i −0.202558 + 0.202558i
\(69\) 1.07661e29i 0.407825i
\(70\) 2.59439e29 9.62732e28i 0.780667 0.289692i
\(71\) −2.05516e29 −0.492847 −0.246423 0.969162i \(-0.579255\pi\)
−0.246423 + 0.969162i \(0.579255\pi\)
\(72\) 2.76972e29 + 2.76972e29i 0.531027 + 0.531027i
\(73\) 4.18908e29 4.18908e29i 0.644100 0.644100i −0.307461 0.951561i \(-0.599479\pi\)
0.951561 + 0.307461i \(0.0994793\pi\)
\(74\) 1.82281e29i 0.225441i
\(75\) −4.02416e28 + 5.37461e29i −0.0401509 + 0.536249i
\(76\) −1.21204e30 −0.978359
\(77\) −1.84214e30 1.84214e30i −1.20635 1.20635i
\(78\) −3.17319e28 + 3.17319e28i −0.0169038 + 0.0169038i
\(79\) 2.78732e30i 1.21103i 0.795835 + 0.605513i \(0.207032\pi\)
−0.795835 + 0.605513i \(0.792968\pi\)
\(80\) 2.22519e29 + 5.99649e29i 0.0790548 + 0.213038i
\(81\) −7.42008e29 −0.216097
\(82\) 1.17510e30 + 1.17510e30i 0.281223 + 0.281223i
\(83\) −6.45873e30 + 6.45873e30i −1.27320 + 1.27320i −0.328804 + 0.944398i \(0.606645\pi\)
−0.944398 + 0.328804i \(0.893355\pi\)
\(84\) 2.01238e30i 0.327522i
\(85\) 1.73436e30 3.78103e30i 0.233581 0.509222i
\(86\) 7.42115e30 0.828889
\(87\) −5.08818e30 5.08818e30i −0.472340 0.472340i
\(88\) 1.38387e31 1.38387e31i 1.06997 1.06997i
\(89\) 7.48910e30i 0.483270i 0.970367 + 0.241635i \(0.0776836\pi\)
−0.970367 + 0.241635i \(0.922316\pi\)
\(90\) −8.36931e30 3.83901e30i −0.451658 0.207176i
\(91\) 1.67508e30 0.0757483
\(92\) −7.22230e30 7.22230e30i −0.274202 0.274202i
\(93\) 2.16847e31 2.16847e31i 0.692510 0.692510i
\(94\) 4.94078e29i 0.0132969i
\(95\) 7.89532e31 2.92982e31i 1.79387 0.665676i
\(96\) −2.51204e31 −0.482711
\(97\) −1.14137e31 1.14137e31i −0.185814 0.185814i 0.608070 0.793884i \(-0.291944\pi\)
−0.793884 + 0.608070i \(0.791944\pi\)
\(98\) −1.49855e31 + 1.49855e31i −0.207039 + 0.207039i
\(99\) 8.66852e31i 1.01808i
\(100\) 3.33553e31 + 3.87544e31i 0.333553 + 0.387544i
\(101\) −3.34720e31 −0.285456 −0.142728 0.989762i \(-0.545587\pi\)
−0.142728 + 0.989762i \(0.545587\pi\)
\(102\) −2.04434e31 2.04434e31i −0.148919 0.148919i
\(103\) −1.15323e32 + 1.15323e32i −0.718655 + 0.718655i −0.968330 0.249675i \(-0.919676\pi\)
0.249675 + 0.968330i \(0.419676\pi\)
\(104\) 1.25837e31i 0.0671852i
\(105\) −4.86445e31 1.31088e32i −0.222846 0.600529i
\(106\) −2.60927e32 −1.02713
\(107\) 1.08124e31 + 1.08124e31i 0.0366255 + 0.0366255i 0.725182 0.688557i \(-0.241755\pi\)
−0.688557 + 0.725182i \(0.741755\pi\)
\(108\) 1.13958e32 1.13958e32i 0.332631 0.332631i
\(109\) 2.08454e32i 0.525033i 0.964928 + 0.262516i \(0.0845523\pi\)
−0.964928 + 0.262516i \(0.915448\pi\)
\(110\) −1.91813e32 + 4.18166e32i −0.417442 + 0.910052i
\(111\) 9.21020e31 0.173421
\(112\) −1.17331e32 1.17331e32i −0.191392 0.191392i
\(113\) 3.30218e32 3.30218e32i 0.467246 0.467246i −0.433775 0.901021i \(-0.642819\pi\)
0.901021 + 0.433775i \(0.142819\pi\)
\(114\) 5.85298e32i 0.719282i
\(115\) 6.45049e32 + 2.95885e32i 0.689330 + 0.316196i
\(116\) −6.82667e32 −0.635157
\(117\) −3.94118e31 3.94118e31i −0.0319634 0.0319634i
\(118\) 1.16801e32 1.16801e32i 0.0826676 0.0826676i
\(119\) 1.07918e33i 0.667330i
\(120\) 9.84770e32 3.65431e32i 0.532641 0.197654i
\(121\) 2.21978e33 1.05134
\(122\) −3.57777e32 3.57777e32i −0.148544 0.148544i
\(123\) 5.93747e32 5.93747e32i 0.216331 0.216331i
\(124\) 2.90938e33i 0.931221i
\(125\) −3.10959e33 1.71821e33i −0.875271 0.483633i
\(126\) 2.38876e33 0.591893
\(127\) 2.24034e33 + 2.24034e33i 0.489163 + 0.489163i 0.908042 0.418879i \(-0.137577\pi\)
−0.418879 + 0.908042i \(0.637577\pi\)
\(128\) −1.10195e33 + 1.10195e33i −0.212229 + 0.212229i
\(129\) 3.74973e33i 0.637623i
\(130\) −1.02912e32 2.77330e32i −0.0154659 0.0416776i
\(131\) 2.85785e33 0.379926 0.189963 0.981791i \(-0.439163\pi\)
0.189963 + 0.981791i \(0.439163\pi\)
\(132\) −2.36570e33 2.36570e33i −0.278469 0.278469i
\(133\) −1.54485e34 + 1.54485e34i −1.61161 + 1.61161i
\(134\) 3.85083e32i 0.0356351i
\(135\) −4.66864e33 + 1.01780e34i −0.383575 + 0.836220i
\(136\) −8.10707e33 −0.591891
\(137\) 8.84854e33 + 8.84854e33i 0.574570 + 0.574570i 0.933402 0.358832i \(-0.116825\pi\)
−0.358832 + 0.933402i \(0.616825\pi\)
\(138\) 3.48768e33 3.48768e33i 0.201591 0.201591i
\(139\) 2.75003e33i 0.141612i −0.997490 0.0708062i \(-0.977443\pi\)
0.997490 0.0708062i \(-0.0225572\pi\)
\(140\) −1.20571e34 5.53061e33i −0.553598 0.253936i
\(141\) −2.49646e32 −0.0102286
\(142\) −6.65768e33 6.65768e33i −0.243618 0.243618i
\(143\) −1.96918e33 + 1.96918e33i −0.0644035 + 0.0644035i
\(144\) 5.52121e33i 0.161523i
\(145\) 4.44695e34 1.65019e34i 1.16459 0.432161i
\(146\) 2.71410e34 0.636767
\(147\) 7.57179e33 + 7.57179e33i 0.159265 + 0.159265i
\(148\) 6.17854e33 6.17854e33i 0.116600 0.116600i
\(149\) 5.11997e34i 0.867535i −0.901025 0.433768i \(-0.857184\pi\)
0.901025 0.433768i \(-0.142816\pi\)
\(150\) −1.87146e34 + 1.61074e34i −0.284919 + 0.245225i
\(151\) 6.98984e34 0.956834 0.478417 0.878133i \(-0.341211\pi\)
0.478417 + 0.878133i \(0.341211\pi\)
\(152\) −1.16053e35 1.16053e35i −1.42942 1.42942i
\(153\) 2.53912e34 2.53912e34i 0.281592 0.281592i
\(154\) 1.19352e35i 1.19261i
\(155\) 7.03274e34 + 1.89519e35i 0.633603 + 1.70744i
\(156\) 2.15115e33 0.0174855
\(157\) 1.38018e35 + 1.38018e35i 1.01284 + 1.01284i 0.999917 + 0.0129212i \(0.00411308\pi\)
0.0129212 + 0.999917i \(0.495887\pi\)
\(158\) −9.02952e34 + 9.02952e34i −0.598620 + 0.598620i
\(159\) 1.31840e35i 0.790119i
\(160\) 6.90384e34 1.50508e35i 0.374258 0.815908i
\(161\) −1.84109e35 −0.903360
\(162\) −2.40373e34 2.40373e34i −0.106818 0.106818i
\(163\) −4.45237e34 + 4.45237e34i −0.179304 + 0.179304i −0.791052 0.611748i \(-0.790466\pi\)
0.611748 + 0.791052i \(0.290466\pi\)
\(164\) 7.96614e34i 0.290902i
\(165\) 2.11289e35 + 9.69185e34i 0.700058 + 0.321117i
\(166\) −4.18460e35 −1.25871
\(167\) −4.43644e35 4.43644e35i −1.21219 1.21219i −0.970305 0.241885i \(-0.922234\pi\)
−0.241885 0.970305i \(-0.577766\pi\)
\(168\) −1.92686e35 + 1.92686e35i −0.478522 + 0.478522i
\(169\) 4.40989e35i 0.995956i
\(170\) 1.78671e35 6.63017e34i 0.367173 0.136252i
\(171\) 7.26953e35 1.36009
\(172\) −2.51545e35 2.51545e35i −0.428707 0.428707i
\(173\) −6.34231e35 + 6.34231e35i −0.985166 + 0.985166i −0.999892 0.0147254i \(-0.995313\pi\)
0.0147254 + 0.999892i \(0.495313\pi\)
\(174\) 3.29663e35i 0.466962i
\(175\) 9.19100e35 + 6.88163e34i 1.18783 + 0.0889370i
\(176\) 2.75863e35 0.325455
\(177\) −5.90168e34 5.90168e34i −0.0635921 0.0635921i
\(178\) −2.42609e35 + 2.42609e35i −0.238884 + 0.238884i
\(179\) 1.03505e36i 0.931778i −0.884843 0.465889i \(-0.845735\pi\)
0.884843 0.465889i \(-0.154265\pi\)
\(180\) 1.53558e35 + 4.13810e35i 0.126448 + 0.340754i
\(181\) 1.07795e36 0.812345 0.406173 0.913796i \(-0.366863\pi\)
0.406173 + 0.913796i \(0.366863\pi\)
\(182\) 5.42641e34 + 5.42641e34i 0.0374430 + 0.0374430i
\(183\) −1.80776e35 + 1.80776e35i −0.114268 + 0.114268i
\(184\) 1.38308e36i 0.801238i
\(185\) −2.53124e35 + 5.51827e35i −0.134457 + 0.293127i
\(186\) 1.40495e36 0.684627
\(187\) −1.26865e36 1.26865e36i −0.567384 0.567384i
\(188\) −1.67471e34 + 1.67471e34i −0.00687725 + 0.00687725i
\(189\) 2.90498e36i 1.09586i
\(190\) 3.50680e36 + 1.60857e36i 1.21577 + 0.557677i
\(191\) 8.12751e35 0.259074 0.129537 0.991575i \(-0.458651\pi\)
0.129537 + 0.991575i \(0.458651\pi\)
\(192\) −1.10846e36 1.10846e36i −0.325013 0.325013i
\(193\) −4.31422e36 + 4.31422e36i −1.16409 + 1.16409i −0.180513 + 0.983573i \(0.557776\pi\)
−0.983573 + 0.180513i \(0.942224\pi\)
\(194\) 7.39492e35i 0.183699i
\(195\) −1.40128e35 + 5.19991e34i −0.0320606 + 0.0118971i
\(196\) 1.01589e36 0.214165
\(197\) −1.43332e36 1.43332e36i −0.278537 0.278537i 0.553988 0.832525i \(-0.313105\pi\)
−0.832525 + 0.553988i \(0.813105\pi\)
\(198\) −2.80816e36 + 2.80816e36i −0.503245 + 0.503245i
\(199\) 1.40811e36i 0.232803i −0.993202 0.116401i \(-0.962864\pi\)
0.993202 0.116401i \(-0.0371359\pi\)
\(200\) −5.16967e35 + 6.90454e36i −0.0788830 + 1.05355i
\(201\) 1.94573e35 0.0274123
\(202\) −1.08432e36 1.08432e36i −0.141103 0.141103i
\(203\) −8.70118e36 + 8.70118e36i −1.04626 + 1.04626i
\(204\) 1.38589e36i 0.154044i
\(205\) 1.92563e36 + 5.18921e36i 0.197929 + 0.533383i
\(206\) −7.47177e36 −0.710474
\(207\) 4.33178e36 + 4.33178e36i 0.381189 + 0.381189i
\(208\) −1.25422e35 + 1.25422e35i −0.0102179 + 0.0102179i
\(209\) 3.63217e37i 2.74047i
\(210\) 2.67075e36 5.82243e36i 0.186692 0.407001i
\(211\) 1.39821e37 0.905843 0.452922 0.891550i \(-0.350382\pi\)
0.452922 + 0.891550i \(0.350382\pi\)
\(212\) 8.84429e36 + 8.84429e36i 0.531238 + 0.531238i
\(213\) −3.36396e36 + 3.36396e36i −0.187403 + 0.187403i
\(214\) 7.00537e35i 0.0362085i
\(215\) 2.24664e37 + 1.03054e37i 1.07775 + 0.494365i
\(216\) 2.18230e37 0.971974
\(217\) −3.70825e37 3.70825e37i −1.53396 1.53396i
\(218\) −6.75286e36 + 6.75286e36i −0.259528 + 0.259528i
\(219\) 1.37137e37i 0.489834i
\(220\) 2.06757e37 7.67239e36i 0.686589 0.254782i
\(221\) 1.15360e36 0.0356269
\(222\) 2.98364e36 + 2.98364e36i 0.0857233 + 0.0857233i
\(223\) 8.71285e36 8.71285e36i 0.232961 0.232961i −0.580967 0.813927i \(-0.697325\pi\)
0.813927 + 0.580967i \(0.197325\pi\)
\(224\) 4.29579e37i 1.06924i
\(225\) −2.00058e37 2.32440e37i −0.463697 0.538755i
\(226\) 2.13948e37 0.461927
\(227\) −1.47224e36 1.47224e36i −0.0296187 0.0296187i 0.692142 0.721761i \(-0.256667\pi\)
−0.721761 + 0.692142i \(0.756667\pi\)
\(228\) −1.98391e37 + 1.98391e37i −0.372018 + 0.372018i
\(229\) 9.78900e37i 1.71147i 0.517411 + 0.855737i \(0.326896\pi\)
−0.517411 + 0.855737i \(0.673104\pi\)
\(230\) 1.13112e37 + 3.04815e37i 0.184443 + 0.497040i
\(231\) −6.03058e37 −0.917419
\(232\) −6.53658e37 6.53658e37i −0.927988 0.927988i
\(233\) 3.72355e37 3.72355e37i 0.493472 0.493472i −0.415926 0.909398i \(-0.636543\pi\)
0.909398 + 0.415926i \(0.136543\pi\)
\(234\) 2.55349e36i 0.0315995i
\(235\) 6.86100e35 1.49575e36i 0.00793052 0.0172891i
\(236\) −7.91812e36 −0.0855126
\(237\) 4.56240e37 + 4.56240e37i 0.460489 + 0.460489i
\(238\) −3.49598e37 + 3.49598e37i −0.329866 + 0.329866i
\(239\) 1.42634e38i 1.25851i −0.777200 0.629254i \(-0.783361\pi\)
0.777200 0.629254i \(-0.216639\pi\)
\(240\) 1.34576e37 + 6.17300e36i 0.111067 + 0.0509467i
\(241\) −1.34374e38 −1.03763 −0.518816 0.854886i \(-0.673627\pi\)
−0.518816 + 0.854886i \(0.673627\pi\)
\(242\) 7.19098e37 + 7.19098e37i 0.519687 + 0.519687i
\(243\) −1.08300e38 + 1.08300e38i −0.732706 + 0.732706i
\(244\) 2.42542e37i 0.153656i
\(245\) −6.61757e37 + 2.45567e37i −0.392682 + 0.145718i
\(246\) 3.84688e37 0.213869
\(247\) 1.65138e37 + 1.65138e37i 0.0860392 + 0.0860392i
\(248\) 2.78575e38 2.78575e38i 1.36055 1.36055i
\(249\) 2.11438e38i 0.968262i
\(250\) −4.50737e37 1.56396e38i −0.193590 0.671717i
\(251\) 1.65643e38 0.667412 0.333706 0.942677i \(-0.391701\pi\)
0.333706 + 0.942677i \(0.391701\pi\)
\(252\) −8.09685e37 8.09685e37i −0.306131 0.306131i
\(253\) 2.16434e38 2.16434e38i 0.768063 0.768063i
\(254\) 1.45151e38i 0.483594i
\(255\) −3.35006e37 9.02780e37i −0.104812 0.282448i
\(256\) −3.62249e38 −1.06455
\(257\) 4.24543e38 + 4.24543e38i 1.17217 + 1.17217i 0.981691 + 0.190481i \(0.0610047\pi\)
0.190481 + 0.981691i \(0.438995\pi\)
\(258\) 1.21472e38 1.21472e38i 0.315182 0.315182i
\(259\) 1.57502e38i 0.384139i
\(260\) −5.91201e36 + 1.28886e37i −0.0135569 + 0.0295550i
\(261\) 4.09449e38 0.882981
\(262\) 9.25799e37 + 9.25799e37i 0.187800 + 0.187800i
\(263\) 1.35866e38 1.35866e38i 0.259310 0.259310i −0.565463 0.824774i \(-0.691303\pi\)
0.824774 + 0.565463i \(0.191303\pi\)
\(264\) 4.53035e38i 0.813708i
\(265\) −7.89915e38 3.62335e38i −1.33551 0.612599i
\(266\) −1.00090e39 −1.59326
\(267\) 1.22584e38 + 1.22584e38i 0.183762 + 0.183762i
\(268\) 1.30527e37 1.30527e37i 0.0184307 0.0184307i
\(269\) 5.16100e38i 0.686589i 0.939228 + 0.343295i \(0.111543\pi\)
−0.939228 + 0.343295i \(0.888457\pi\)
\(270\) −4.80955e38 + 1.78474e38i −0.602954 + 0.223746i
\(271\) 9.80770e38 1.15893 0.579467 0.814996i \(-0.303261\pi\)
0.579467 + 0.814996i \(0.303261\pi\)
\(272\) −8.08038e37 8.08038e37i −0.0900180 0.0900180i
\(273\) 2.74183e37 2.74183e37i 0.0288030 0.0288030i
\(274\) 5.73297e38i 0.568029i
\(275\) −1.16137e39 + 9.99573e38i −1.08554 + 0.934311i
\(276\) −2.36435e38 −0.208529
\(277\) 8.24199e38 + 8.24199e38i 0.686050 + 0.686050i 0.961357 0.275306i \(-0.0887793\pi\)
−0.275306 + 0.961357i \(0.588779\pi\)
\(278\) 8.90873e37 8.90873e37i 0.0700001 0.0700001i
\(279\) 1.74498e39i 1.29456i
\(280\) −6.24916e38 1.68403e39i −0.437818 1.17984i
\(281\) −3.51609e38 −0.232680 −0.116340 0.993209i \(-0.537116\pi\)
−0.116340 + 0.993209i \(0.537116\pi\)
\(282\) −8.08726e36 8.08726e36i −0.00505610 0.00505610i
\(283\) −2.64479e38 + 2.64479e38i −0.156246 + 0.156246i −0.780901 0.624655i \(-0.785240\pi\)
0.624655 + 0.780901i \(0.285240\pi\)
\(284\) 4.51333e38i 0.252002i
\(285\) 8.12772e38 1.77190e39i 0.428994 0.935236i
\(286\) −1.27583e38 −0.0636703
\(287\) −1.01535e39 1.01535e39i −0.479189 0.479189i
\(288\) 1.01073e39 1.01073e39i 0.451185 0.451185i
\(289\) 1.62470e39i 0.686133i
\(290\) 1.97517e39 + 9.06011e38i 0.789288 + 0.362047i
\(291\) −3.73647e38 −0.141310
\(292\) −9.19965e38 9.19965e38i −0.329341 0.329341i
\(293\) 2.42303e39 2.42303e39i 0.821252 0.821252i −0.165036 0.986288i \(-0.552774\pi\)
0.986288 + 0.165036i \(0.0527740\pi\)
\(294\) 4.90576e38i 0.157452i
\(295\) 5.15793e38 1.91402e38i 0.156792 0.0581828i
\(296\) 1.18320e39 0.340714
\(297\) 3.41502e39 + 3.41502e39i 0.931730 + 0.931730i
\(298\) 1.65861e39 1.65861e39i 0.428830 0.428830i
\(299\) 1.96805e38i 0.0482279i
\(300\) 1.18032e39 + 8.83746e37i 0.274195 + 0.0205299i
\(301\) −6.41232e39 −1.41238
\(302\) 2.26436e39 + 2.26436e39i 0.472970 + 0.472970i
\(303\) −5.47882e38 + 5.47882e38i −0.108544 + 0.108544i
\(304\) 2.31342e39i 0.434788i
\(305\) −5.86289e38 1.57994e39i −0.104548 0.281737i
\(306\) 1.64509e39 0.278386
\(307\) −6.42505e39 6.42505e39i −1.03196 1.03196i −0.999472 0.0324874i \(-0.989657\pi\)
−0.0324874 0.999472i \(-0.510343\pi\)
\(308\) −4.04553e39 + 4.04553e39i −0.616828 + 0.616828i
\(309\) 3.77530e39i 0.546532i
\(310\) −3.86122e39 + 8.41772e39i −0.530808 + 1.15720i
\(311\) −3.91789e38 −0.0511547 −0.0255773 0.999673i \(-0.508142\pi\)
−0.0255773 + 0.999673i \(0.508142\pi\)
\(312\) 2.05974e38 + 2.05974e38i 0.0255470 + 0.0255470i
\(313\) −3.75829e39 + 3.75829e39i −0.442875 + 0.442875i −0.892977 0.450102i \(-0.851388\pi\)
0.450102 + 0.892977i \(0.351388\pi\)
\(314\) 8.94215e39i 1.00131i
\(315\) 7.23159e39 + 3.31714e39i 0.769599 + 0.353016i
\(316\) 6.12124e39 0.619222
\(317\) −8.45248e39 8.45248e39i −0.812897 0.812897i 0.172170 0.985067i \(-0.444922\pi\)
−0.985067 + 0.172170i \(0.944922\pi\)
\(318\) −4.27095e39 + 4.27095e39i −0.390562 + 0.390562i
\(319\) 2.04578e40i 1.77913i
\(320\) 9.68768e39 3.59493e39i 0.801346 0.297366i
\(321\) 3.53964e38 0.0278534
\(322\) −5.96420e39 5.96420e39i −0.446538 0.446538i
\(323\) −1.06391e40 + 1.06391e40i −0.757991 + 0.757991i
\(324\) 1.62952e39i 0.110494i
\(325\) 7.35620e37 9.82483e38i 0.00474810 0.0634149i
\(326\) −2.88469e39 −0.177263
\(327\) 3.41205e39 + 3.41205e39i 0.199642 + 0.199642i
\(328\) 7.62762e39 7.62762e39i 0.425018 0.425018i
\(329\) 4.26913e38i 0.0226571i
\(330\) 3.70503e39 + 9.98438e39i 0.187313 + 0.504775i
\(331\) 2.00066e40 0.963664 0.481832 0.876264i \(-0.339972\pi\)
0.481832 + 0.876264i \(0.339972\pi\)
\(332\) 1.41840e40 + 1.41840e40i 0.651013 + 0.651013i
\(333\) −3.70575e39 + 3.70575e39i −0.162095 + 0.162095i
\(334\) 2.87436e40i 1.19839i
\(335\) −5.34745e38 + 1.16578e39i −0.0212535 + 0.0463340i
\(336\) −3.84103e39 −0.145553
\(337\) −2.16825e40 2.16825e40i −0.783484 0.783484i 0.196933 0.980417i \(-0.436902\pi\)
−0.980417 + 0.196933i \(0.936902\pi\)
\(338\) −1.42858e40 + 1.42858e40i −0.492309 + 0.492309i
\(339\) 1.08103e40i 0.355338i
\(340\) −8.30352e39 3.80883e39i −0.260375 0.119434i
\(341\) 8.71866e40 2.60843
\(342\) 2.35496e40 + 2.35496e40i 0.672305 + 0.672305i
\(343\) −1.79659e40 + 1.79659e40i −0.489489 + 0.489489i
\(344\) 4.81712e40i 1.25272i
\(345\) 1.54016e40 5.71525e39i 0.382348 0.141883i
\(346\) −4.10917e40 −0.973951
\(347\) −5.54293e39 5.54293e39i −0.125449 0.125449i 0.641595 0.767044i \(-0.278273\pi\)
−0.767044 + 0.641595i \(0.778273\pi\)
\(348\) −1.11741e40 + 1.11741e40i −0.241516 + 0.241516i
\(349\) 7.66016e39i 0.158136i −0.996869 0.0790681i \(-0.974806\pi\)
0.996869 0.0790681i \(-0.0251944\pi\)
\(350\) 2.75449e40 + 3.20035e40i 0.543191 + 0.631115i
\(351\) −3.10531e39 −0.0585047
\(352\) −5.05003e40 5.05003e40i −0.909099 0.909099i
\(353\) −5.44550e40 + 5.44550e40i −0.936791 + 0.936791i −0.998118 0.0613271i \(-0.980467\pi\)
0.0613271 + 0.998118i \(0.480467\pi\)
\(354\) 3.82369e39i 0.0628682i
\(355\) −1.09099e40 2.94003e40i −0.171462 0.462059i
\(356\) 1.64468e40 0.247105
\(357\) 1.76643e40 + 1.76643e40i 0.253750 + 0.253750i
\(358\) 3.35304e40 3.35304e40i 0.460585 0.460585i
\(359\) 1.11374e41i 1.46310i 0.681788 + 0.731549i \(0.261202\pi\)
−0.681788 + 0.731549i \(0.738798\pi\)
\(360\) −2.49193e40 + 5.43257e40i −0.313109 + 0.682599i
\(361\) −2.21400e41 −2.66111
\(362\) 3.49201e40 + 3.49201e40i 0.401549 + 0.401549i
\(363\) 3.63342e40 3.63342e40i 0.399770 0.399770i
\(364\) 3.67864e39i 0.0387316i
\(365\) 8.21653e40 + 3.76893e40i 0.827947 + 0.379780i
\(366\) −1.17125e40 −0.112967
\(367\) −2.71316e40 2.71316e40i −0.250506 0.250506i 0.570672 0.821178i \(-0.306683\pi\)
−0.821178 + 0.570672i \(0.806683\pi\)
\(368\) 1.37852e40 1.37852e40i 0.121857 0.121857i
\(369\) 4.77791e40i 0.404405i
\(370\) −2.60763e40 + 9.67648e39i −0.211358 + 0.0784314i
\(371\) 2.25456e41 1.75017
\(372\) −4.76218e40 4.76218e40i −0.354094 0.354094i
\(373\) 4.57036e40 4.57036e40i 0.325544 0.325544i −0.525345 0.850889i \(-0.676064\pi\)
0.850889 + 0.525345i \(0.176064\pi\)
\(374\) 8.21959e40i 0.560925i
\(375\) −7.90232e40 + 2.27746e40i −0.516719 + 0.148919i
\(376\) −3.20709e39 −0.0200958
\(377\) 9.30123e39 + 9.30123e39i 0.0558572 + 0.0558572i
\(378\) 9.41066e40 9.41066e40i 0.541691 0.541691i
\(379\) 2.82235e40i 0.155734i 0.996964 + 0.0778670i \(0.0248110\pi\)
−0.996964 + 0.0778670i \(0.975189\pi\)
\(380\) −6.43417e40 1.73389e41i −0.340373 0.917242i
\(381\) 7.33413e40 0.372005
\(382\) 2.63290e40 + 2.63290e40i 0.128062 + 0.128062i
\(383\) 1.47851e41 1.47851e41i 0.689672 0.689672i −0.272488 0.962159i \(-0.587846\pi\)
0.962159 + 0.272488i \(0.0878464\pi\)
\(384\) 3.60744e40i 0.161399i
\(385\) 1.65738e41 3.61321e41i 0.711297 1.55068i
\(386\) −2.79518e41 −1.15083
\(387\) 1.50871e41 + 1.50871e41i 0.595979 + 0.595979i
\(388\) −2.50656e40 + 2.50656e40i −0.0950103 + 0.0950103i
\(389\) 4.07964e41i 1.48398i 0.670411 + 0.741990i \(0.266118\pi\)
−0.670411 + 0.741990i \(0.733882\pi\)
\(390\) −6.22395e39 2.85493e39i −0.0217286 0.00996695i
\(391\) −1.26793e41 −0.424879
\(392\) 9.72717e40 + 9.72717e40i 0.312903 + 0.312903i
\(393\) 4.67784e40 4.67784e40i 0.144466 0.144466i
\(394\) 9.28645e40i 0.275366i
\(395\) −3.98743e41 + 1.47967e41i −1.13538 + 0.421318i
\(396\) 1.90369e41 0.520564
\(397\) −7.65956e40 7.65956e40i −0.201166 0.201166i 0.599333 0.800500i \(-0.295432\pi\)
−0.800500 + 0.599333i \(0.795432\pi\)
\(398\) 4.56158e40 4.56158e40i 0.115076 0.115076i
\(399\) 5.05732e41i 1.22562i
\(400\) −7.39707e40 + 6.36654e40i −0.172226 + 0.148233i
\(401\) −2.61119e41 −0.584156 −0.292078 0.956394i \(-0.594347\pi\)
−0.292078 + 0.956394i \(0.594347\pi\)
\(402\) 6.30319e39 + 6.30319e39i 0.0135501 + 0.0135501i
\(403\) −3.96398e40 + 3.96398e40i −0.0818937 + 0.0818937i
\(404\) 7.35078e40i 0.145959i
\(405\) −3.93899e40 1.06149e41i −0.0751804 0.202597i
\(406\) −5.63749e41 −1.03435
\(407\) 1.85155e41 + 1.85155e41i 0.326607 + 0.326607i
\(408\) −1.32700e41 + 1.32700e41i −0.225065 + 0.225065i
\(409\) 4.82412e41i 0.786765i −0.919375 0.393382i \(-0.871305\pi\)
0.919375 0.393382i \(-0.128695\pi\)
\(410\) −1.05724e41 + 2.30485e41i −0.165818 + 0.361494i
\(411\) 2.89673e41 0.436957
\(412\) 2.53261e41 + 2.53261e41i 0.367462 + 0.367462i
\(413\) −1.00923e41 + 1.00923e41i −0.140861 + 0.140861i
\(414\) 2.80655e41i 0.376850i
\(415\) −1.26682e42 5.81093e41i −1.63662 0.750717i
\(416\) 4.59203e40 0.0570837
\(417\) −4.50136e40 4.50136e40i −0.0538477 0.0538477i
\(418\) 1.17664e42 1.17664e42i 1.35464 1.35464i
\(419\) 1.61600e42i 1.79068i −0.445382 0.895340i \(-0.646932\pi\)
0.445382 0.895340i \(-0.353068\pi\)
\(420\) −2.87882e41 + 1.06828e41i −0.307062 + 0.113945i
\(421\) 1.66314e42 1.70771 0.853855 0.520510i \(-0.174258\pi\)
0.853855 + 0.520510i \(0.174258\pi\)
\(422\) 4.52950e41 + 4.52950e41i 0.447766 + 0.447766i
\(423\) 1.00446e40 1.00446e40i 0.00956060 0.00956060i
\(424\) 1.69369e42i 1.55232i
\(425\) 6.32968e41 + 4.73925e40i 0.558674 + 0.0418299i
\(426\) −2.17951e41 −0.185270
\(427\) 3.09141e41 + 3.09141e41i 0.253111 + 0.253111i
\(428\) 2.37452e40 2.37452e40i 0.0187273 0.0187273i
\(429\) 6.44646e40i 0.0489784i
\(430\) 3.93956e41 + 1.06164e42i 0.288372 + 0.777109i
\(431\) −1.67697e42 −1.18274 −0.591371 0.806400i \(-0.701413\pi\)
−0.591371 + 0.806400i \(0.701413\pi\)
\(432\) 2.17512e41 + 2.17512e41i 0.147823 + 0.147823i
\(433\) −1.80217e41 + 1.80217e41i −0.118029 + 0.118029i −0.763654 0.645625i \(-0.776597\pi\)
0.645625 + 0.763654i \(0.276597\pi\)
\(434\) 2.40257e42i 1.51650i
\(435\) 4.57785e41 9.98003e41i 0.278505 0.607161i
\(436\) 4.57786e41 0.268459
\(437\) −1.81504e42 1.81504e42i −1.02609 1.02609i
\(438\) 4.44255e41 4.44255e41i 0.242129 0.242129i
\(439\) 1.16767e41i 0.0613602i 0.999529 + 0.0306801i \(0.00976731\pi\)
−0.999529 + 0.0306801i \(0.990233\pi\)
\(440\) 2.71435e42 + 1.24507e42i 1.37538 + 0.630888i
\(441\) −6.09306e41 −0.297727
\(442\) 3.73707e40 + 3.73707e40i 0.0176106 + 0.0176106i
\(443\) −1.81550e42 + 1.81550e42i −0.825157 + 0.825157i −0.986842 0.161685i \(-0.948307\pi\)
0.161685 + 0.986842i \(0.448307\pi\)
\(444\) 2.02265e41i 0.0886735i
\(445\) −1.07136e42 + 3.97563e41i −0.453080 + 0.168130i
\(446\) 5.64505e41 0.230308
\(447\) −8.38056e41 8.38056e41i −0.329878 0.329878i
\(448\) −1.89555e42 + 1.89555e42i −0.719925 + 0.719925i
\(449\) 3.40343e42i 1.24731i 0.781699 + 0.623656i \(0.214353\pi\)
−0.781699 + 0.623656i \(0.785647\pi\)
\(450\) 1.04903e41 1.40108e42i 0.0371013 0.495520i
\(451\) 2.38725e42 0.814841
\(452\) −7.25192e41 7.25192e41i −0.238912 0.238912i
\(453\) 1.14412e42 1.14412e42i 0.363833 0.363833i
\(454\) 9.53864e40i 0.0292815i
\(455\) 8.89225e40 + 2.39630e41i 0.0263530 + 0.0710164i
\(456\) −3.79921e42 −1.08707
\(457\) 1.14100e42 + 1.14100e42i 0.315228 + 0.315228i 0.846931 0.531703i \(-0.178448\pi\)
−0.531703 + 0.846931i \(0.678448\pi\)
\(458\) −3.17114e42 + 3.17114e42i −0.845995 + 0.845995i
\(459\) 2.00061e42i 0.515417i
\(460\) 6.49792e41 1.41659e42i 0.161677 0.352468i
\(461\) 1.04524e42 0.251190 0.125595 0.992082i \(-0.459916\pi\)
0.125595 + 0.992082i \(0.459916\pi\)
\(462\) −1.95360e42 1.95360e42i −0.453487 0.453487i
\(463\) −5.26250e42 + 5.26250e42i −1.18004 + 1.18004i −0.200305 + 0.979734i \(0.564193\pi\)
−0.979734 + 0.200305i \(0.935807\pi\)
\(464\) 1.30301e42i 0.282267i
\(465\) 4.25327e42 + 1.95098e42i 0.890175 + 0.408324i
\(466\) 2.41249e42 0.487854
\(467\) −1.41690e42 1.41690e42i −0.276866 0.276866i 0.554990 0.831857i \(-0.312722\pi\)
−0.831857 + 0.554990i \(0.812722\pi\)
\(468\) −8.65523e40 + 8.65523e40i −0.0163435 + 0.0163435i
\(469\) 3.32735e41i 0.0607202i
\(470\) 7.06808e40 2.62284e40i 0.0124662 0.00462601i
\(471\) 4.51825e42 0.770257
\(472\) −7.58165e41 7.58165e41i −0.124937 0.124937i
\(473\) 7.53817e42 7.53817e42i 1.20085 1.20085i
\(474\) 2.95597e42i 0.455247i
\(475\) 8.38255e42 + 9.73940e42i 1.24818 + 1.45022i
\(476\) 2.36998e42 0.341219
\(477\) −5.30461e42 5.30461e42i −0.738515 0.738515i
\(478\) 4.62061e42 4.62061e42i 0.622090 0.622090i
\(479\) 1.08890e43i 1.41782i −0.705298 0.708910i \(-0.749187\pi\)
0.705298 0.708910i \(-0.250813\pi\)
\(480\) −1.33353e42 3.59363e42i −0.167936 0.452557i
\(481\) −1.68363e41 −0.0205081
\(482\) −4.35305e42 4.35305e42i −0.512910 0.512910i
\(483\) −3.01356e42 + 3.01356e42i −0.343500 + 0.343500i
\(484\) 4.87487e42i 0.537572i
\(485\) 1.02689e42 2.23870e42i 0.109561 0.238851i
\(486\) −7.01677e42 −0.724364
\(487\) 1.16822e43 + 1.16822e43i 1.16698 + 1.16698i 0.982914 + 0.184065i \(0.0589256\pi\)
0.184065 + 0.982914i \(0.441074\pi\)
\(488\) −2.32235e42 + 2.32235e42i −0.224497 + 0.224497i
\(489\) 1.45756e42i 0.136359i
\(490\) −2.93927e42 1.34825e42i −0.266135 0.122077i
\(491\) 4.36824e42 0.382827 0.191414 0.981509i \(-0.438693\pi\)
0.191414 + 0.981509i \(0.438693\pi\)
\(492\) −1.30393e42 1.30393e42i −0.110614 0.110614i
\(493\) −5.99235e42 + 5.99235e42i −0.492092 + 0.492092i
\(494\) 1.06993e42i 0.0850597i
\(495\) −1.24008e43 + 4.60173e42i −0.954481 + 0.354192i
\(496\) 5.55314e42 0.413840
\(497\) 5.75264e42 + 5.75264e42i 0.415111 + 0.415111i
\(498\) −6.84952e42 + 6.84952e42i −0.478620 + 0.478620i
\(499\) 4.23299e42i 0.286443i 0.989691 + 0.143221i \(0.0457461\pi\)
−0.989691 + 0.143221i \(0.954254\pi\)
\(500\) −3.77336e42 + 6.82897e42i −0.247291 + 0.447543i
\(501\) −1.45235e43 −0.921863
\(502\) 5.36600e42 + 5.36600e42i 0.329907 + 0.329907i
\(503\) −1.40581e43 + 1.40581e43i −0.837221 + 0.837221i −0.988492 0.151271i \(-0.951663\pi\)
0.151271 + 0.988492i \(0.451663\pi\)
\(504\) 1.55056e43i 0.894539i
\(505\) −1.77688e42 4.78836e42i −0.0993106 0.267624i
\(506\) 1.40227e43 0.759320
\(507\) 7.21827e42 + 7.21827e42i 0.378709 + 0.378709i
\(508\) 4.92000e42 4.92000e42i 0.250118 0.250118i
\(509\) 3.07292e42i 0.151379i −0.997131 0.0756897i \(-0.975884\pi\)
0.997131 0.0756897i \(-0.0241159\pi\)
\(510\) 1.83930e42 4.00980e42i 0.0878072 0.191426i
\(511\) −2.34515e43 −1.08502
\(512\) −7.00218e42 7.00218e42i −0.313989 0.313989i
\(513\) 2.86388e43 2.86388e43i 1.24474 1.24474i
\(514\) 2.75061e43i 1.15883i
\(515\) −2.26196e43 1.03756e43i −0.923782 0.423740i
\(516\) −8.23477e42 −0.326029
\(517\) −5.01869e41 5.01869e41i −0.0192638 0.0192638i
\(518\) 5.10226e42 5.10226e42i 0.189883 0.189883i
\(519\) 2.07626e43i 0.749213i
\(520\) −1.80017e42 + 6.68011e41i −0.0629882 + 0.0233739i
\(521\) 1.37840e43 0.467704 0.233852 0.972272i \(-0.424867\pi\)
0.233852 + 0.972272i \(0.424867\pi\)
\(522\) 1.32641e43 + 1.32641e43i 0.436464 + 0.436464i
\(523\) 3.41632e43 3.41632e43i 1.09026 1.09026i 0.0947622 0.995500i \(-0.469791\pi\)
0.995500 0.0947622i \(-0.0302091\pi\)
\(524\) 6.27612e42i 0.194263i
\(525\) 1.61706e43 1.39178e43i 0.485486 0.417850i
\(526\) 8.80277e42 0.256358
\(527\) −2.55381e43 2.55381e43i −0.721470 0.721470i
\(528\) 4.51543e42 4.51543e42i 0.123753 0.123753i
\(529\) 1.59779e43i 0.424844i
\(530\) −1.38514e43 3.73271e43i −0.357340 0.962964i
\(531\) 4.74911e42 0.118878
\(532\) 3.39264e43 + 3.39264e43i 0.824046 + 0.824046i
\(533\) −1.08537e42 + 1.08537e42i −0.0255826 + 0.0255826i
\(534\) 7.94224e42i 0.181670i
\(535\) −9.72798e41 + 2.12077e42i −0.0215954 + 0.0470796i
\(536\) 2.49960e42 0.0538560
\(537\) −1.69421e43 1.69421e43i −0.354305 0.354305i
\(538\) −1.67190e43 + 1.67190e43i −0.339387 + 0.339387i
\(539\) 3.04435e43i 0.599894i
\(540\) 2.23518e43 + 1.02528e43i 0.427575 + 0.196129i
\(541\) 2.05483e43 0.381610 0.190805 0.981628i \(-0.438890\pi\)
0.190805 + 0.981628i \(0.438890\pi\)
\(542\) 3.17720e43 + 3.17720e43i 0.572870 + 0.572870i
\(543\) 1.76443e43 1.76443e43i 0.308892 0.308892i
\(544\) 2.95843e43i 0.502898i
\(545\) −2.98206e43 + 1.10659e43i −0.492234 + 0.182660i
\(546\) 1.77643e42 0.0284751
\(547\) −4.56259e43 4.56259e43i −0.710256 0.710256i 0.256333 0.966589i \(-0.417486\pi\)
−0.966589 + 0.256333i \(0.917486\pi\)
\(548\) 1.94323e43 1.94323e43i 0.293789 0.293789i
\(549\) 1.45471e43i 0.213609i
\(550\) −7.00037e43 5.24142e42i −0.998430 0.0747560i
\(551\) −1.71562e44 −2.37681
\(552\) −2.26388e43 2.26388e43i −0.304668 0.304668i
\(553\) 7.80205e43 7.80205e43i 1.02002 1.02002i
\(554\) 5.33998e43i 0.678240i
\(555\) 4.88929e42 + 1.31757e43i 0.0603334 + 0.162587i
\(556\) −6.03935e42 −0.0724092
\(557\) 9.27187e43 + 9.27187e43i 1.08015 + 1.08015i 0.996495 + 0.0836558i \(0.0266596\pi\)
0.0836558 + 0.996495i \(0.473340\pi\)
\(558\) −5.65286e43 + 5.65286e43i −0.639913 + 0.639913i
\(559\) 6.85453e42i 0.0754030i
\(560\) 1.05563e43 2.30135e43i 0.112850 0.246022i
\(561\) −4.15316e43 −0.431492
\(562\) −1.13904e43 1.13904e43i −0.115015 0.115015i
\(563\) −3.66109e42 + 3.66109e42i −0.0359315 + 0.0359315i −0.724844 0.688913i \(-0.758088\pi\)
0.688913 + 0.724844i \(0.258088\pi\)
\(564\) 5.48247e41i 0.00523010i
\(565\) 6.47695e43 + 2.97098e43i 0.600614 + 0.275502i
\(566\) −1.71356e43 −0.154467
\(567\) 2.07697e43 + 2.07697e43i 0.182012 + 0.182012i
\(568\) −4.32154e43 + 4.32154e43i −0.368185 + 0.368185i
\(569\) 5.86131e43i 0.485510i −0.970088 0.242755i \(-0.921949\pi\)
0.970088 0.242755i \(-0.0780512\pi\)
\(570\) 8.37303e43 3.10709e43i 0.674349 0.250239i
\(571\) −2.82631e43 −0.221331 −0.110666 0.993858i \(-0.535298\pi\)
−0.110666 + 0.993858i \(0.535298\pi\)
\(572\) 4.32452e42 + 4.32452e42i 0.0329307 + 0.0329307i
\(573\) 1.33034e43 1.33034e43i 0.0985120 0.0985120i
\(574\) 6.57846e43i 0.473734i
\(575\) −8.08524e42 + 1.07985e44i −0.0566249 + 0.756274i
\(576\) 8.91984e43 0.607571
\(577\) −1.16346e44 1.16346e44i −0.770793 0.770793i 0.207452 0.978245i \(-0.433483\pi\)
−0.978245 + 0.207452i \(0.933483\pi\)
\(578\) 5.26322e43 5.26322e43i 0.339161 0.339161i
\(579\) 1.41233e44i 0.885279i
\(580\) −3.62398e43 9.76595e43i −0.220972 0.595479i
\(581\) 3.61575e44 2.14477
\(582\) −1.21043e43 1.21043e43i −0.0698508 0.0698508i
\(583\) −2.65041e44 + 2.65041e44i −1.48805 + 1.48805i
\(584\) 1.76174e44i 0.962359i
\(585\) 3.54589e42 7.73029e42i 0.0188465 0.0410868i
\(586\) 1.56988e44 0.811902
\(587\) 9.20335e43 + 9.20335e43i 0.463166 + 0.463166i 0.899692 0.436526i \(-0.143791\pi\)
−0.436526 + 0.899692i \(0.643791\pi\)
\(588\) 1.66284e43 1.66284e43i 0.0814354 0.0814354i
\(589\) 7.31159e44i 3.48471i
\(590\) 2.29096e43 + 1.05086e43i 0.106264 + 0.0487432i
\(591\) −4.69221e43 −0.211825
\(592\) 1.17930e43 + 1.17930e43i 0.0518176 + 0.0518176i
\(593\) 8.88158e43 8.88158e43i 0.379853 0.379853i −0.491196 0.871049i \(-0.663440\pi\)
0.871049 + 0.491196i \(0.163440\pi\)
\(594\) 2.21259e44i 0.921123i
\(595\) −1.54382e44 + 5.72886e43i −0.625642 + 0.232165i
\(596\) −1.12440e44 −0.443588
\(597\) −2.30485e43 2.30485e43i −0.0885225 0.0885225i
\(598\) −6.37550e42 + 6.37550e42i −0.0238394 + 0.0238394i
\(599\) 3.08997e44i 1.12493i 0.826822 + 0.562464i \(0.190146\pi\)
−0.826822 + 0.562464i \(0.809854\pi\)
\(600\) 1.04554e44 + 1.21478e44i 0.370614 + 0.430604i
\(601\) 2.85700e44 0.986096 0.493048 0.870002i \(-0.335883\pi\)
0.493048 + 0.870002i \(0.335883\pi\)
\(602\) −2.07727e44 2.07727e44i −0.698150 0.698150i
\(603\) −7.82871e42 + 7.82871e42i −0.0256220 + 0.0256220i
\(604\) 1.53504e44i 0.489248i
\(605\) 1.17838e44 + 3.17553e44i 0.365764 + 0.985667i
\(606\) −3.54972e43 −0.107308
\(607\) −1.73660e44 1.73660e44i −0.511306 0.511306i 0.403621 0.914926i \(-0.367752\pi\)
−0.914926 + 0.403621i \(0.867752\pi\)
\(608\) −4.23502e44 + 4.23502e44i −1.21450 + 1.21450i
\(609\) 2.84848e44i 0.795678i
\(610\) 3.21893e43 7.01749e43i 0.0875859 0.190943i
\(611\) 4.56354e41 0.00120960
\(612\) −5.57616e43 5.57616e43i −0.143983 0.143983i
\(613\) −4.23986e44 + 4.23986e44i −1.06656 + 1.06656i −0.0689348 + 0.997621i \(0.521960\pi\)
−0.997621 + 0.0689348i \(0.978040\pi\)
\(614\) 4.16279e44i 1.02021i
\(615\) 1.16458e44 + 5.34196e43i 0.278079 + 0.127555i
\(616\) −7.74724e44 −1.80242
\(617\) 2.57719e44 + 2.57719e44i 0.584230 + 0.584230i 0.936063 0.351833i \(-0.114442\pi\)
−0.351833 + 0.936063i \(0.614442\pi\)
\(618\) −1.22301e44 + 1.22301e44i −0.270155 + 0.270155i
\(619\) 3.74778e44i 0.806722i 0.915041 + 0.403361i \(0.132158\pi\)
−0.915041 + 0.403361i \(0.867842\pi\)
\(620\) 4.16203e44 1.54446e44i 0.873049 0.323974i
\(621\) 3.41307e44 0.697717
\(622\) −1.26920e43 1.26920e43i −0.0252862 0.0252862i
\(623\) 2.09629e44 2.09629e44i 0.407045 0.407045i
\(624\) 4.10592e42i 0.00777064i
\(625\) 8.07255e43 5.36057e44i 0.148912 0.988850i
\(626\) −2.43499e44 −0.437833
\(627\) −5.94527e44 5.94527e44i −1.04206 1.04206i
\(628\) 3.03100e44 3.03100e44i 0.517884 0.517884i
\(629\) 1.08469e44i 0.180673i
\(630\) 1.26808e44 + 3.41725e44i 0.205920 + 0.554918i
\(631\) 4.45822e44 0.705816 0.352908 0.935658i \(-0.385193\pi\)
0.352908 + 0.935658i \(0.385193\pi\)
\(632\) 5.86112e44 + 5.86112e44i 0.904706 + 0.904706i
\(633\) 2.28864e44 2.28864e44i 0.344444 0.344444i
\(634\) 5.47635e44i 0.803643i
\(635\) −2.01564e44 + 4.39423e44i −0.288425 + 0.628786i
\(636\) 2.89533e44 0.404003
\(637\) −1.38413e43 1.38413e43i −0.0188341 0.0188341i
\(638\) 6.62730e44 6.62730e44i 0.879439 0.879439i
\(639\) 2.70700e44i 0.350328i
\(640\) −2.16139e44 9.91432e43i −0.272806 0.125136i
\(641\) 2.48191e44 0.305533 0.152766 0.988262i \(-0.451182\pi\)
0.152766 + 0.988262i \(0.451182\pi\)
\(642\) 1.14666e43 + 1.14666e43i 0.0137682 + 0.0137682i
\(643\) −2.90141e44 + 2.90141e44i −0.339808 + 0.339808i −0.856295 0.516487i \(-0.827239\pi\)
0.516487 + 0.856295i \(0.327239\pi\)
\(644\) 4.04322e44i 0.461905i
\(645\) 5.36420e44 1.99056e44i 0.597792 0.221830i
\(646\) −6.89306e44 −0.749362
\(647\) −3.75746e44 3.75746e44i −0.398497 0.398497i 0.479205 0.877703i \(-0.340925\pi\)
−0.877703 + 0.479205i \(0.840925\pi\)
\(648\) −1.56028e44 + 1.56028e44i −0.161437 + 0.161437i
\(649\) 2.37286e44i 0.239528i
\(650\) 3.42105e43 2.94444e43i 0.0336935 0.0289994i
\(651\) −1.21396e45 −1.16657
\(652\) 9.77786e43 + 9.77786e43i 0.0916816 + 0.0916816i
\(653\) 7.84913e44 7.84913e44i 0.718142 0.718142i −0.250082 0.968225i \(-0.580458\pi\)
0.968225 + 0.250082i \(0.0804577\pi\)
\(654\) 2.21067e44i 0.197369i
\(655\) 1.51711e44 + 4.08832e44i 0.132177 + 0.356192i
\(656\) 1.52050e44 0.129278
\(657\) 5.51775e44 + 5.51775e44i 0.457842 + 0.457842i
\(658\) −1.38298e43 + 1.38298e43i −0.0111996 + 0.0111996i
\(659\) 1.73887e45i 1.37436i 0.726488 + 0.687179i \(0.241151\pi\)
−0.726488 + 0.687179i \(0.758849\pi\)
\(660\) 2.12843e44 4.64012e44i 0.164194 0.357953i
\(661\) 6.70839e44 0.505120 0.252560 0.967581i \(-0.418727\pi\)
0.252560 + 0.967581i \(0.418727\pi\)
\(662\) 6.48113e44 + 6.48113e44i 0.476347 + 0.476347i
\(663\) 1.88825e43 1.88825e43i 0.0135470 0.0135470i
\(664\) 2.71625e45i 1.90231i
\(665\) −3.03008e45 1.38990e45i −2.07161 0.950250i
\(666\) −2.40095e44 −0.160249
\(667\) −1.02230e45 1.02230e45i −0.666142 0.666142i
\(668\) −9.74286e44 + 9.74286e44i −0.619816 + 0.619816i
\(669\) 2.85230e44i 0.177165i
\(670\) −5.50884e43 + 2.04424e43i −0.0334090 + 0.0123975i
\(671\) −7.26837e44 −0.430404
\(672\) 7.03151e44 + 7.03151e44i 0.406574 + 0.406574i
\(673\) 2.20853e45 2.20853e45i 1.24699 1.24699i 0.289946 0.957043i \(-0.406363\pi\)
0.957043 0.289946i \(-0.0936374\pi\)
\(674\) 1.40481e45i 0.774565i
\(675\) −1.70385e45 1.27574e44i −0.917428 0.0686911i
\(676\) 9.68455e44 0.509252
\(677\) −1.87843e45 1.87843e45i −0.964663 0.964663i 0.0347338 0.999397i \(-0.488942\pi\)
−0.999397 + 0.0347338i \(0.988942\pi\)
\(678\) 3.50198e44 3.50198e44i 0.175646 0.175646i
\(679\) 6.38966e44i 0.313012i
\(680\) −4.30369e44 1.15976e45i −0.205920 0.554916i
\(681\) −4.81964e43 −0.0225248
\(682\) 2.82441e45 + 2.82441e45i 1.28937 + 1.28937i
\(683\) −2.77659e45 + 2.77659e45i −1.23817 + 1.23817i −0.277421 + 0.960749i \(0.589480\pi\)
−0.960749 + 0.277421i \(0.910520\pi\)
\(684\) 1.59646e45i 0.695442i
\(685\) −7.96106e44 + 1.73557e45i −0.338783 + 0.738571i
\(686\) −1.16401e45 −0.483917
\(687\) 1.60230e45 + 1.60230e45i 0.650783 + 0.650783i
\(688\) 4.80126e44 4.80126e44i 0.190520 0.190520i
\(689\) 2.41004e44i 0.0934366i
\(690\) 6.84078e44 + 3.13787e44i 0.259132 + 0.118864i
\(691\) 2.77231e45 1.02611 0.513055 0.858356i \(-0.328514\pi\)
0.513055 + 0.858356i \(0.328514\pi\)
\(692\) 1.39283e45 + 1.39283e45i 0.503735 + 0.503735i
\(693\) 2.42642e45 2.42642e45i 0.857501 0.857501i
\(694\) 3.59126e44i 0.124021i
\(695\) 3.93409e44 1.45987e44i 0.132766 0.0492672i
\(696\) −2.13986e45 −0.705729
\(697\) −6.99256e44 6.99256e44i −0.225378 0.225378i
\(698\) 2.48151e44 2.48151e44i 0.0781679 0.0781679i
\(699\) 1.21897e45i 0.375282i
\(700\) 1.51127e44 2.01844e45i 0.0454752 0.607360i
\(701\) 3.55564e45 1.04575 0.522877 0.852408i \(-0.324859\pi\)
0.522877 + 0.852408i \(0.324859\pi\)
\(702\) −1.00596e44 1.00596e44i −0.0289194 0.0289194i
\(703\) 1.55273e45 1.55273e45i 0.436327 0.436327i
\(704\) 4.45673e45i 1.22420i
\(705\) −1.32526e43 3.57133e43i −0.00355856 0.00958967i
\(706\) −3.52814e45 −0.926126
\(707\) 9.36920e44 + 9.36920e44i 0.240432 + 0.240432i
\(708\) −1.29607e44 + 1.29607e44i −0.0325159 + 0.0325159i
\(709\) 6.93421e45i 1.70082i 0.526124 + 0.850408i \(0.323645\pi\)
−0.526124 + 0.850408i \(0.676355\pi\)
\(710\) 5.98993e44 1.30585e45i 0.143644 0.313155i
\(711\) −3.67139e45 −0.860828
\(712\) 1.57479e45 + 1.57479e45i 0.361030 + 0.361030i
\(713\) 4.35684e45 4.35684e45i 0.976649 0.976649i
\(714\) 1.14447e45i 0.250861i
\(715\) −3.86238e44 1.77168e44i −0.0827863 0.0379742i
\(716\) −2.27307e45 −0.476436
\(717\) −2.33468e45 2.33468e45i −0.478543 0.478543i
\(718\) −3.60796e45 + 3.60796e45i −0.723221 + 0.723221i
\(719\) 2.13337e45i 0.418219i 0.977892 + 0.209109i \(0.0670564\pi\)
−0.977892 + 0.209109i \(0.932944\pi\)
\(720\) −7.89841e44 + 2.93096e44i −0.151433 + 0.0561941i
\(721\) 6.45606e45 1.21061
\(722\) −7.17224e45 7.17224e45i −1.31541 1.31541i
\(723\) −2.19949e45 + 2.19949e45i −0.394557 + 0.394557i
\(724\) 2.36728e45i 0.415368i
\(725\) 4.72138e45 + 5.48561e45i 0.810328 + 0.941493i
\(726\) 2.35409e45 0.395219
\(727\) −1.76532e45 1.76532e45i −0.289917 0.289917i 0.547131 0.837047i \(-0.315720\pi\)
−0.837047 + 0.547131i \(0.815720\pi\)
\(728\) 3.52232e44 3.52232e44i 0.0565883 0.0565883i
\(729\) 2.17045e45i 0.341121i
\(730\) 1.44080e45 + 3.88269e45i 0.221532 + 0.596989i
\(731\) −4.41605e45 −0.664288
\(732\) 3.97002e44 + 3.97002e44i 0.0584272 + 0.0584272i
\(733\) −8.48221e45 + 8.48221e45i −1.22136 + 1.22136i −0.254217 + 0.967147i \(0.581818\pi\)
−0.967147 + 0.254217i \(0.918182\pi\)
\(734\) 1.75786e45i 0.247655i
\(735\) −6.81236e44 + 1.48514e45i −0.0939075 + 0.204725i
\(736\) −5.04713e45 −0.680769
\(737\) 3.91156e44 + 3.91156e44i 0.0516261 + 0.0516261i
\(738\) −1.54780e45 + 1.54780e45i −0.199901 + 0.199901i
\(739\) 2.67862e45i 0.338532i 0.985570 + 0.169266i \(0.0541397\pi\)
−0.985570 + 0.169266i \(0.945860\pi\)
\(740\) 1.21187e45 + 5.55885e44i 0.149881 + 0.0687507i
\(741\) 5.40609e44 0.0654322
\(742\) 7.30365e45 + 7.30365e45i 0.865122 + 0.865122i
\(743\) −2.49646e44 + 2.49646e44i −0.0289404 + 0.0289404i −0.721429 0.692489i \(-0.756514\pi\)
0.692489 + 0.721429i \(0.256514\pi\)
\(744\) 9.11963e45i 1.03469i
\(745\) 7.32442e45 2.71797e45i 0.813341 0.301817i
\(746\) 2.96113e45 0.321838
\(747\) −8.50726e45 8.50726e45i −0.905024 0.905024i
\(748\) −2.78609e45 + 2.78609e45i −0.290114 + 0.290114i
\(749\) 6.05306e44i 0.0616972i
\(750\) −3.29774e45 1.82217e45i −0.329030 0.181806i
\(751\) 1.63680e46 1.59866 0.799332 0.600889i \(-0.205187\pi\)
0.799332 + 0.600889i \(0.205187\pi\)
\(752\) −3.19653e43 3.19653e43i −0.00305629 0.00305629i
\(753\) 2.71131e45 2.71131e45i 0.253781 0.253781i