Properties

Label 5.33.c.a.2.4
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 2.4
Character \(\chi\) \(=\) 5.2
Dual form 5.33.c.a.3.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-42029.2 - 42029.2i) q^{2} +(-2.23370e7 + 2.23370e7i) q^{3} -7.62067e8i q^{4} +(-7.62027e10 + 1.32198e11i) q^{5} +1.87761e12 q^{6} +(-2.39791e13 - 2.39791e13i) q^{7} +(-2.12543e14 + 2.12543e14i) q^{8} +8.55140e14i q^{9} +O(q^{10})\) \(q+(-42029.2 - 42029.2i) q^{2} +(-2.23370e7 + 2.23370e7i) q^{3} -7.62067e8i q^{4} +(-7.62027e10 + 1.32198e11i) q^{5} +1.87761e12 q^{6} +(-2.39791e13 - 2.39791e13i) q^{7} +(-2.12543e14 + 2.12543e14i) q^{8} +8.55140e14i q^{9} +(8.75889e15 - 2.35342e15i) q^{10} -3.17226e16 q^{11} +(1.70223e16 + 1.70223e16i) q^{12} +(-5.32549e17 + 5.32549e17i) q^{13} +2.01564e18i q^{14} +(-1.25076e18 - 4.65503e18i) q^{15} +1.45929e19 q^{16} +(4.10053e19 + 4.10053e19i) q^{17} +(3.59408e19 - 3.59408e19i) q^{18} +2.22048e20i q^{19} +(1.00743e20 + 5.80716e19i) q^{20} +1.07124e21 q^{21} +(1.33328e21 + 1.33328e21i) q^{22} +(-6.22444e21 + 6.22444e21i) q^{23} -9.49513e21i q^{24} +(-1.16694e22 - 2.01476e22i) q^{25} +4.47652e22 q^{26} +(-6.04921e22 - 6.04921e22i) q^{27} +(-1.82737e22 + 1.82737e22i) q^{28} -3.25507e23i q^{29} +(-1.43079e23 + 2.48215e23i) q^{30} +1.21168e22 q^{31} +(2.99536e23 + 2.99536e23i) q^{32} +(7.08587e23 - 7.08587e23i) q^{33} -3.44684e24i q^{34} +(4.99726e24 - 1.34271e24i) q^{35} +6.51674e23 q^{36} +(-1.53437e25 - 1.53437e25i) q^{37} +(9.33250e24 - 9.33250e24i) q^{38} -2.37911e25i q^{39} +(-1.19013e25 - 4.42940e25i) q^{40} -2.70283e25 q^{41} +(-4.50234e25 - 4.50234e25i) q^{42} +(9.54673e25 - 9.54673e25i) q^{43} +2.41748e25i q^{44} +(-1.13048e26 - 6.51640e25i) q^{45} +5.23216e26 q^{46} +(2.53838e26 + 2.53838e26i) q^{47} +(-3.25962e26 + 3.25962e26i) q^{48} +4.55683e25i q^{49} +(-3.56335e26 + 1.33724e27i) q^{50} -1.83187e27 q^{51} +(4.05838e26 + 4.05838e26i) q^{52} +(-1.49223e27 + 1.49223e27i) q^{53} +5.08486e27i q^{54} +(2.41735e27 - 4.19366e27i) q^{55} +1.01932e28 q^{56} +(-4.95988e27 - 4.95988e27i) q^{57} +(-1.36808e28 + 1.36808e28i) q^{58} +2.48663e28i q^{59} +(-3.54744e27 + 9.53160e26i) q^{60} +3.17251e28 q^{61} +(-5.09261e26 - 5.09261e26i) q^{62} +(2.05055e28 - 2.05055e28i) q^{63} -8.78547e28i q^{64} +(-2.98200e28 - 1.10983e29i) q^{65} -5.95627e28 q^{66} +(-3.16482e27 - 3.16482e27i) q^{67} +(3.12488e28 - 3.12488e28i) q^{68} -2.78070e29i q^{69} +(-2.66463e29 - 1.53598e29i) q^{70} +4.69621e29 q^{71} +(-1.81754e29 - 1.81754e29i) q^{72} +(-3.04177e29 + 3.04177e29i) q^{73} +1.28976e30i q^{74} +(7.10695e29 + 1.89379e29i) q^{75} +1.69216e29 q^{76} +(7.60681e29 + 7.60681e29i) q^{77} +(-9.99918e29 + 9.99918e29i) q^{78} -1.79248e30i q^{79} +(-1.11202e30 + 1.92915e30i) q^{80} +1.11783e30 q^{81} +(1.13598e30 + 1.13598e30i) q^{82} +(-4.68812e29 + 4.68812e29i) q^{83} -8.16358e29i q^{84} +(-8.54552e30 + 2.29609e30i) q^{85} -8.02482e30 q^{86} +(7.27084e30 + 7.27084e30i) q^{87} +(6.74242e30 - 6.74242e30i) q^{88} -2.97738e31i q^{89} +(2.01250e30 + 7.49008e30i) q^{90} +2.55401e31 q^{91} +(4.74344e30 + 4.74344e30i) q^{92} +(-2.70654e29 + 2.70654e29i) q^{93} -2.13372e31i q^{94} +(-2.93543e31 - 1.69207e31i) q^{95} -1.33814e31 q^{96} +(-1.89647e31 - 1.89647e31i) q^{97} +(1.91520e30 - 1.91520e30i) q^{98} -2.71273e31i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −42029.2 42029.2i −0.641314 0.641314i 0.309564 0.950878i \(-0.399817\pi\)
−0.950878 + 0.309564i \(0.899817\pi\)
\(3\) −2.23370e7 + 2.23370e7i −0.518900 + 0.518900i −0.917239 0.398338i \(-0.869587\pi\)
0.398338 + 0.917239i \(0.369587\pi\)
\(4\) 7.62067e8i 0.177433i
\(5\) −7.62027e10 + 1.32198e11i −0.499402 + 0.866370i
\(6\) 1.87761e12 0.665556
\(7\) −2.39791e13 2.39791e13i −0.721547 0.721547i 0.247373 0.968920i \(-0.420433\pi\)
−0.968920 + 0.247373i \(0.920433\pi\)
\(8\) −2.12543e14 + 2.12543e14i −0.755104 + 0.755104i
\(9\) 8.55140e14i 0.461485i
\(10\) 8.75889e15 2.35342e15i 0.875889 0.235342i
\(11\) −3.17226e16 −0.690377 −0.345188 0.938533i \(-0.612185\pi\)
−0.345188 + 0.938533i \(0.612185\pi\)
\(12\) 1.70223e16 + 1.70223e16i 0.0920698 + 0.0920698i
\(13\) −5.32549e17 + 5.32549e17i −0.800324 + 0.800324i −0.983146 0.182822i \(-0.941477\pi\)
0.182822 + 0.983146i \(0.441477\pi\)
\(14\) 2.01564e18i 0.925476i
\(15\) −1.25076e18 4.65503e18i −0.190420 0.708700i
\(16\) 1.45929e19 0.791085
\(17\) 4.10053e19 + 4.10053e19i 0.842669 + 0.842669i 0.989205 0.146536i \(-0.0468124\pi\)
−0.146536 + 0.989205i \(0.546812\pi\)
\(18\) 3.59408e19 3.59408e19i 0.295957 0.295957i
\(19\) 2.22048e20i 0.769821i 0.922954 + 0.384911i \(0.125768\pi\)
−0.922954 + 0.384911i \(0.874232\pi\)
\(20\) 1.00743e20 + 5.80716e19i 0.153722 + 0.0886102i
\(21\) 1.07124e21 0.748822
\(22\) 1.33328e21 + 1.33328e21i 0.442748 + 0.442748i
\(23\) −6.22444e21 + 6.22444e21i −1.01497 + 1.01497i −0.0150872 + 0.999886i \(0.504803\pi\)
−0.999886 + 0.0150872i \(0.995197\pi\)
\(24\) 9.49513e21i 0.783648i
\(25\) −1.16694e22 2.01476e22i −0.501195 0.865334i
\(26\) 4.47652e22 1.02652
\(27\) −6.04921e22 6.04921e22i −0.758365 0.758365i
\(28\) −1.82737e22 + 1.82737e22i −0.128026 + 0.128026i
\(29\) 3.25507e23i 1.30075i −0.759615 0.650373i \(-0.774613\pi\)
0.759615 0.650373i \(-0.225387\pi\)
\(30\) −1.43079e23 + 2.48215e23i −0.332380 + 0.576618i
\(31\) 1.21168e22 0.0166572 0.00832861 0.999965i \(-0.497349\pi\)
0.00832861 + 0.999965i \(0.497349\pi\)
\(32\) 2.99536e23 + 2.99536e23i 0.247770 + 0.247770i
\(33\) 7.08587e23 7.08587e23i 0.358237 0.358237i
\(34\) 3.44684e24i 1.08083i
\(35\) 4.99726e24 1.34271e24i 0.985469 0.264785i
\(36\) 6.51674e23 0.0818824
\(37\) −1.53437e25 1.53437e25i −1.24366 1.24366i −0.958472 0.285187i \(-0.907944\pi\)
−0.285187 0.958472i \(-0.592056\pi\)
\(38\) 9.33250e24 9.33250e24i 0.493697 0.493697i
\(39\) 2.37911e25i 0.830577i
\(40\) −1.19013e25 4.42940e25i −0.277099 1.03130i
\(41\) −2.70283e25 −0.423913 −0.211957 0.977279i \(-0.567984\pi\)
−0.211957 + 0.977279i \(0.567984\pi\)
\(42\) −4.50234e25 4.50234e25i −0.480230 0.480230i
\(43\) 9.54673e25 9.54673e25i 0.698811 0.698811i −0.265343 0.964154i \(-0.585485\pi\)
0.964154 + 0.265343i \(0.0854853\pi\)
\(44\) 2.41748e25i 0.122495i
\(45\) −1.13048e26 6.51640e25i −0.399817 0.230466i
\(46\) 5.23216e26 1.30183
\(47\) 2.53838e26 + 2.53838e26i 0.447704 + 0.447704i 0.894591 0.446887i \(-0.147467\pi\)
−0.446887 + 0.894591i \(0.647467\pi\)
\(48\) −3.25962e26 + 3.25962e26i −0.410494 + 0.410494i
\(49\) 4.55683e25i 0.0412597i
\(50\) −3.56335e26 + 1.33724e27i −0.233528 + 0.876375i
\(51\) −1.83187e27 −0.874523
\(52\) 4.05838e26 + 4.05838e26i 0.142004 + 0.142004i
\(53\) −1.49223e27 + 1.49223e27i −0.384966 + 0.384966i −0.872888 0.487921i \(-0.837755\pi\)
0.487921 + 0.872888i \(0.337755\pi\)
\(54\) 5.08486e27i 0.972700i
\(55\) 2.41735e27 4.19366e27i 0.344776 0.598122i
\(56\) 1.01932e28 1.08969
\(57\) −4.95988e27 4.95988e27i −0.399460 0.399460i
\(58\) −1.36808e28 + 1.36808e28i −0.834186 + 0.834186i
\(59\) 2.48663e28i 1.15340i 0.816958 + 0.576698i \(0.195659\pi\)
−0.816958 + 0.576698i \(0.804341\pi\)
\(60\) −3.54744e27 + 9.53160e26i −0.125746 + 0.0337867i
\(61\) 3.17251e28 0.863229 0.431615 0.902058i \(-0.357944\pi\)
0.431615 + 0.902058i \(0.357944\pi\)
\(62\) −5.09261e26 5.09261e26i −0.0106825 0.0106825i
\(63\) 2.05055e28 2.05055e28i 0.332983 0.332983i
\(64\) 8.78547e28i 1.10888i
\(65\) −2.98200e28 1.10983e29i −0.293694 1.09306i
\(66\) −5.95627e28 −0.459485
\(67\) −3.16482e27 3.16482e27i −0.0191934 0.0191934i 0.697445 0.716638i \(-0.254320\pi\)
−0.716638 + 0.697445i \(0.754320\pi\)
\(68\) 3.12488e28 3.12488e28i 0.149517 0.149517i
\(69\) 2.78070e29i 1.05334i
\(70\) −2.66463e29 1.53598e29i −0.801805 0.462185i
\(71\) 4.69621e29 1.12620 0.563098 0.826390i \(-0.309609\pi\)
0.563098 + 0.826390i \(0.309609\pi\)
\(72\) −1.81754e29 1.81754e29i −0.348469 0.348469i
\(73\) −3.04177e29 + 3.04177e29i −0.467692 + 0.467692i −0.901166 0.433474i \(-0.857288\pi\)
0.433474 + 0.901166i \(0.357288\pi\)
\(74\) 1.28976e30i 1.59515i
\(75\) 7.10695e29 + 1.89379e29i 0.709093 + 0.188952i
\(76\) 1.69216e29 0.136591
\(77\) 7.60681e29 + 7.60681e29i 0.498139 + 0.498139i
\(78\) −9.99918e29 + 9.99918e29i −0.532661 + 0.532661i
\(79\) 1.79248e30i 0.778791i −0.921071 0.389395i \(-0.872684\pi\)
0.921071 0.389395i \(-0.127316\pi\)
\(80\) −1.11202e30 + 1.92915e30i −0.395070 + 0.685373i
\(81\) 1.11783e30 0.325547
\(82\) 1.13598e30 + 1.13598e30i 0.271861 + 0.271861i
\(83\) −4.68812e29 + 4.68812e29i −0.0924165 + 0.0924165i −0.751804 0.659387i \(-0.770816\pi\)
0.659387 + 0.751804i \(0.270816\pi\)
\(84\) 8.16358e29i 0.132865i
\(85\) −8.54552e30 + 2.29609e30i −1.15089 + 0.309233i
\(86\) −8.02482e30 −0.896314
\(87\) 7.27084e30 + 7.27084e30i 0.674957 + 0.674957i
\(88\) 6.74242e30 6.74242e30i 0.521306 0.521306i
\(89\) 2.97738e31i 1.92130i −0.277765 0.960649i \(-0.589594\pi\)
0.277765 0.960649i \(-0.410406\pi\)
\(90\) 2.01250e30 + 7.49008e30i 0.108607 + 0.404209i
\(91\) 2.55401e31 1.15494
\(92\) 4.74344e30 + 4.74344e30i 0.180089 + 0.180089i
\(93\) −2.70654e29 + 2.70654e29i −0.00864344 + 0.00864344i
\(94\) 2.13372e31i 0.574237i
\(95\) −2.93543e31 1.69207e31i −0.666950 0.384450i
\(96\) −1.33814e31 −0.257136
\(97\) −1.89647e31 1.89647e31i −0.308743 0.308743i 0.535679 0.844422i \(-0.320056\pi\)
−0.844422 + 0.535679i \(0.820056\pi\)
\(98\) 1.91520e30 1.91520e30i 0.0264604 0.0264604i
\(99\) 2.71273e31i 0.318598i
\(100\) −1.53538e31 + 8.89283e30i −0.153538 + 0.0889283i
\(101\) 2.42812e31 0.207075 0.103538 0.994626i \(-0.466984\pi\)
0.103538 + 0.994626i \(0.466984\pi\)
\(102\) 7.69919e31 + 7.69919e31i 0.560844 + 0.560844i
\(103\) −1.53297e32 + 1.53297e32i −0.955297 + 0.955297i −0.999043 0.0437452i \(-0.986071\pi\)
0.0437452 + 0.999043i \(0.486071\pi\)
\(104\) 2.26379e32i 1.20866i
\(105\) −8.16315e31 + 1.41616e32i −0.373963 + 0.648757i
\(106\) 1.25434e32 0.493768
\(107\) 3.13053e32 + 3.13053e32i 1.06042 + 1.06042i 0.998053 + 0.0623638i \(0.0198639\pi\)
0.0623638 + 0.998053i \(0.480136\pi\)
\(108\) −4.60990e31 + 4.60990e31i −0.134559 + 0.134559i
\(109\) 4.40291e32i 1.10896i 0.832197 + 0.554480i \(0.187083\pi\)
−0.832197 + 0.554480i \(0.812917\pi\)
\(110\) −2.77855e32 + 7.46566e31i −0.604694 + 0.162475i
\(111\) 6.85461e32 1.29067
\(112\) −3.49926e32 3.49926e32i −0.570805 0.570805i
\(113\) −3.62769e32 + 3.62769e32i −0.513304 + 0.513304i −0.915537 0.402233i \(-0.868234\pi\)
0.402233 + 0.915537i \(0.368234\pi\)
\(114\) 4.16920e32i 0.512359i
\(115\) −3.48537e32 1.29717e33i −0.372463 1.38622i
\(116\) −2.48058e32 −0.230795
\(117\) −4.55404e32 4.55404e32i −0.369337 0.369337i
\(118\) 1.04511e33 1.04511e33i 0.739689 0.739689i
\(119\) 1.96654e33i 1.21605i
\(120\) 1.25523e33 + 7.23554e32i 0.678929 + 0.391355i
\(121\) −1.10505e33 −0.523380
\(122\) −1.33338e33 1.33338e33i −0.553601 0.553601i
\(123\) 6.03730e32 6.03730e32i 0.219969 0.219969i
\(124\) 9.23385e30i 0.00295553i
\(125\) 3.55271e33 7.35668e30i 0.999998 0.00207072i
\(126\) −1.72366e33 −0.427093
\(127\) 1.06536e33 + 1.06536e33i 0.232616 + 0.232616i 0.813784 0.581168i \(-0.197404\pi\)
−0.581168 + 0.813784i \(0.697404\pi\)
\(128\) −2.40596e33 + 2.40596e33i −0.463372 + 0.463372i
\(129\) 4.26490e33i 0.725226i
\(130\) −3.41123e33 + 5.91785e33i −0.512646 + 0.889345i
\(131\) 3.24991e33 0.432047 0.216023 0.976388i \(-0.430691\pi\)
0.216023 + 0.976388i \(0.430691\pi\)
\(132\) −5.39991e32 5.39991e32i −0.0635629 0.0635629i
\(133\) 5.32452e33 5.32452e33i 0.555462 0.555462i
\(134\) 2.66029e32i 0.0246180i
\(135\) 1.26066e34 3.38725e33i 1.03575 0.278296i
\(136\) −1.74308e34 −1.27261
\(137\) 2.72630e33 + 2.72630e33i 0.177029 + 0.177029i 0.790059 0.613030i \(-0.210050\pi\)
−0.613030 + 0.790059i \(0.710050\pi\)
\(138\) −1.16870e34 + 1.16870e34i −0.675522 + 0.675522i
\(139\) 2.06077e34i 1.06119i 0.847626 + 0.530594i \(0.178031\pi\)
−0.847626 + 0.530594i \(0.821969\pi\)
\(140\) −1.02323e33 3.80824e33i −0.0469814 0.174854i
\(141\) −1.13399e34 −0.464627
\(142\) −1.97378e34 1.97378e34i −0.722245 0.722245i
\(143\) 1.68939e34 1.68939e34i 0.552525 0.552525i
\(144\) 1.24790e34i 0.365074i
\(145\) 4.30312e34 + 2.48045e34i 1.12693 + 0.649595i
\(146\) 2.55686e34 0.599875
\(147\) −1.01786e33 1.01786e33i −0.0214097 0.0214097i
\(148\) −1.16929e34 + 1.16929e34i −0.220666 + 0.220666i
\(149\) 8.61495e34i 1.45973i −0.683591 0.729865i \(-0.739583\pi\)
0.683591 0.729865i \(-0.260417\pi\)
\(150\) −2.19105e34 3.78294e34i −0.333574 0.575929i
\(151\) 7.13058e34 0.976098 0.488049 0.872816i \(-0.337709\pi\)
0.488049 + 0.872816i \(0.337709\pi\)
\(152\) −4.71948e34 4.71948e34i −0.581295 0.581295i
\(153\) −3.50653e34 + 3.50653e34i −0.388879 + 0.388879i
\(154\) 6.39415e34i 0.638927i
\(155\) −9.23337e32 + 1.60182e33i −0.00831865 + 0.0144313i
\(156\) −1.81304e34 −0.147371
\(157\) −1.43355e34 1.43355e34i −0.105201 0.105201i 0.652547 0.757748i \(-0.273700\pi\)
−0.757748 + 0.652547i \(0.773700\pi\)
\(158\) −7.53364e34 + 7.53364e34i −0.499449 + 0.499449i
\(159\) 6.66639e34i 0.399518i
\(160\) −6.24233e34 + 1.67725e34i −0.338397 + 0.0909237i
\(161\) 2.98513e35 1.46470
\(162\) −4.69813e34 4.69813e34i −0.208778 0.208778i
\(163\) −2.71331e35 + 2.71331e35i −1.09269 + 1.09269i −0.0974522 + 0.995240i \(0.531069\pi\)
−0.995240 + 0.0974522i \(0.968931\pi\)
\(164\) 2.05974e34i 0.0752160i
\(165\) 3.96773e34 + 1.47670e35i 0.131462 + 0.489270i
\(166\) 3.94076e34 0.118536
\(167\) 3.89137e35 + 3.89137e35i 1.06326 + 1.06326i 0.997859 + 0.0654007i \(0.0208326\pi\)
0.0654007 + 0.997859i \(0.479167\pi\)
\(168\) −2.27685e35 + 2.27685e35i −0.565438 + 0.565438i
\(169\) 1.24438e35i 0.281038i
\(170\) 4.55664e35 + 2.62658e35i 0.936400 + 0.539770i
\(171\) −1.89882e35 −0.355261
\(172\) −7.27525e34 7.27525e34i −0.123992 0.123992i
\(173\) 4.75765e35 4.75765e35i 0.739018 0.739018i −0.233370 0.972388i \(-0.574975\pi\)
0.972388 + 0.233370i \(0.0749754\pi\)
\(174\) 6.11174e35i 0.865719i
\(175\) −2.03302e35 + 7.62943e35i −0.262744 + 0.986015i
\(176\) −4.62927e35 −0.546147
\(177\) −5.55437e35 5.55437e35i −0.598497 0.598497i
\(178\) −1.25137e36 + 1.25137e36i −1.23216 + 1.23216i
\(179\) 1.99998e36i 1.80044i −0.435440 0.900218i \(-0.643407\pi\)
0.435440 0.900218i \(-0.356593\pi\)
\(180\) −4.96593e34 + 8.61498e34i −0.0408922 + 0.0709405i
\(181\) 2.34543e36 1.76752 0.883762 0.467936i \(-0.155002\pi\)
0.883762 + 0.467936i \(0.155002\pi\)
\(182\) −1.07343e36 1.07343e36i −0.740681 0.740681i
\(183\) −7.08643e35 + 7.08643e35i −0.447930 + 0.447930i
\(184\) 2.64592e36i 1.53282i
\(185\) 3.19762e36 8.59167e35i 1.69856 0.456383i
\(186\) 2.27507e34 0.0110863
\(187\) −1.30080e36 1.30080e36i −0.581760 0.581760i
\(188\) 1.93441e35 1.93441e35i 0.0794372 0.0794372i
\(189\) 2.90109e36i 1.09439i
\(190\) 5.22573e35 + 1.94490e36i 0.181171 + 0.674278i
\(191\) −9.51069e35 −0.303164 −0.151582 0.988445i \(-0.548437\pi\)
−0.151582 + 0.988445i \(0.548437\pi\)
\(192\) 1.96241e36 + 1.96241e36i 0.575399 + 0.575399i
\(193\) −2.25391e36 + 2.25391e36i −0.608163 + 0.608163i −0.942466 0.334303i \(-0.891499\pi\)
0.334303 + 0.942466i \(0.391499\pi\)
\(194\) 1.59414e36i 0.396003i
\(195\) 3.14512e36 + 1.81294e36i 0.719588 + 0.414792i
\(196\) 3.47261e34 0.00732081
\(197\) −7.15338e36 7.15338e36i −1.39012 1.39012i −0.825034 0.565083i \(-0.808844\pi\)
−0.565083 0.825034i \(-0.691156\pi\)
\(198\) −1.14014e36 + 1.14014e36i −0.204322 + 0.204322i
\(199\) 2.07919e36i 0.343753i 0.985119 + 0.171876i \(0.0549829\pi\)
−0.985119 + 0.171876i \(0.945017\pi\)
\(200\) 6.76248e36 + 1.80200e36i 1.03187 + 0.274963i
\(201\) 1.41385e35 0.0199189
\(202\) −1.02052e36 1.02052e36i −0.132800 0.132800i
\(203\) −7.80537e36 + 7.80537e36i −0.938549 + 0.938549i
\(204\) 1.39601e36i 0.155169i
\(205\) 2.05963e36 3.57308e36i 0.211703 0.367266i
\(206\) 1.28859e37 1.22529
\(207\) −5.32277e36 5.32277e36i −0.468395 0.468395i
\(208\) −7.77146e36 + 7.77146e36i −0.633125 + 0.633125i
\(209\) 7.04396e36i 0.531467i
\(210\) 9.38288e36 2.52108e36i 0.655885 0.176229i
\(211\) −6.09709e36 −0.395006 −0.197503 0.980302i \(-0.563283\pi\)
−0.197503 + 0.980302i \(0.563283\pi\)
\(212\) 1.13718e36 + 1.13718e36i 0.0683055 + 0.0683055i
\(213\) −1.04899e37 + 1.04899e37i −0.584383 + 0.584383i
\(214\) 2.63147e37i 1.36012i
\(215\) 5.34568e36 + 1.98954e37i 0.256441 + 0.954416i
\(216\) 2.57143e37 1.14529
\(217\) −2.90551e35 2.90551e35i −0.0120190 0.0120190i
\(218\) 1.85051e37 1.85051e37i 0.711192 0.711192i
\(219\) 1.35888e37i 0.485371i
\(220\) −3.19585e36 1.84218e36i −0.106126 0.0611744i
\(221\) −4.36747e37 −1.34882
\(222\) −2.88094e37 2.88094e37i −0.827725 0.827725i
\(223\) 1.87440e36 1.87440e36i 0.0501170 0.0501170i −0.681604 0.731721i \(-0.738717\pi\)
0.731721 + 0.681604i \(0.238717\pi\)
\(224\) 1.43652e37i 0.357555i
\(225\) 1.72291e37 9.97894e36i 0.399339 0.231294i
\(226\) 3.04937e37 0.658378
\(227\) 1.09568e37 + 1.09568e37i 0.220429 + 0.220429i 0.808679 0.588250i \(-0.200183\pi\)
−0.588250 + 0.808679i \(0.700183\pi\)
\(228\) −3.77976e36 + 3.77976e36i −0.0708773 + 0.0708773i
\(229\) 3.80575e37i 0.665384i −0.943035 0.332692i \(-0.892043\pi\)
0.943035 0.332692i \(-0.107957\pi\)
\(230\) −3.98705e37 + 6.91679e37i −0.650138 + 1.12787i
\(231\) −3.39826e37 −0.516969
\(232\) 6.91842e37 + 6.91842e37i 0.982198 + 0.982198i
\(233\) −2.53746e37 + 2.53746e37i −0.336283 + 0.336283i −0.854966 0.518684i \(-0.826422\pi\)
0.518684 + 0.854966i \(0.326422\pi\)
\(234\) 3.82805e37i 0.473723i
\(235\) −5.28999e37 + 1.42136e37i −0.611461 + 0.164293i
\(236\) 1.89498e37 0.204650
\(237\) 4.00385e37 + 4.00385e37i 0.404115 + 0.404115i
\(238\) −8.26521e37 + 8.26521e37i −0.779871 + 0.779871i
\(239\) 5.62465e37i 0.496283i 0.968724 + 0.248141i \(0.0798197\pi\)
−0.968724 + 0.248141i \(0.920180\pi\)
\(240\) −1.82522e37 6.79306e37i −0.150638 0.560642i
\(241\) 2.06335e38 1.59331 0.796655 0.604434i \(-0.206601\pi\)
0.796655 + 0.604434i \(0.206601\pi\)
\(242\) 4.64444e37 + 4.64444e37i 0.335651 + 0.335651i
\(243\) 8.71242e37 8.71242e37i 0.589438 0.589438i
\(244\) 2.41767e37i 0.153165i
\(245\) −6.02403e36 3.47243e36i −0.0357462 0.0206052i
\(246\) −5.07485e37 −0.282138
\(247\) −1.18252e38 1.18252e38i −0.616107 0.616107i
\(248\) −2.57535e36 + 2.57535e36i −0.0125779 + 0.0125779i
\(249\) 2.09437e37i 0.0959100i
\(250\) −1.49626e38 1.49008e38i −0.642641 0.639985i
\(251\) −3.09148e38 −1.24563 −0.622813 0.782371i \(-0.714010\pi\)
−0.622813 + 0.782371i \(0.714010\pi\)
\(252\) −1.56266e37 1.56266e37i −0.0590820 0.0590820i
\(253\) 1.97456e38 1.97456e38i 0.700714 0.700714i
\(254\) 8.95528e37i 0.298359i
\(255\) 1.39593e38 2.42169e38i 0.436739 0.757661i
\(256\) −1.75092e38 −0.514549
\(257\) −1.74296e37 1.74296e37i −0.0481235 0.0481235i 0.682636 0.730759i \(-0.260834\pi\)
−0.730759 + 0.682636i \(0.760834\pi\)
\(258\) 1.79250e38 1.79250e38i 0.465098 0.465098i
\(259\) 7.35855e38i 1.79472i
\(260\) −8.45768e37 + 2.27249e37i −0.193945 + 0.0521108i
\(261\) 2.78354e38 0.600274
\(262\) −1.36591e38 1.36591e38i −0.277078 0.277078i
\(263\) 6.54950e38 6.54950e38i 1.25002 1.25002i 0.294306 0.955711i \(-0.404912\pi\)
0.955711 0.294306i \(-0.0950885\pi\)
\(264\) 3.01210e38i 0.541012i
\(265\) −8.35574e37 3.10982e38i −0.141270 0.525776i
\(266\) −4.47570e38 −0.712451
\(267\) 6.65057e38 + 6.65057e38i 0.996962 + 0.996962i
\(268\) −2.41180e36 + 2.41180e36i −0.00340553 + 0.00340553i
\(269\) 1.20052e39i 1.59710i 0.601929 + 0.798550i \(0.294399\pi\)
−0.601929 + 0.798550i \(0.705601\pi\)
\(270\) −6.72207e38 3.87480e38i −0.842719 0.485769i
\(271\) −4.89496e38 −0.578416 −0.289208 0.957266i \(-0.593392\pi\)
−0.289208 + 0.957266i \(0.593392\pi\)
\(272\) 5.98388e38 + 5.98388e38i 0.666623 + 0.666623i
\(273\) −5.70489e38 + 5.70489e38i −0.599300 + 0.599300i
\(274\) 2.29168e38i 0.227062i
\(275\) 3.70183e38 + 6.39136e38i 0.346014 + 0.597407i
\(276\) −2.11908e38 −0.186897
\(277\) −9.08699e38 9.08699e38i −0.756386 0.756386i 0.219276 0.975663i \(-0.429630\pi\)
−0.975663 + 0.219276i \(0.929630\pi\)
\(278\) 8.66124e38 8.66124e38i 0.680555 0.680555i
\(279\) 1.03616e37i 0.00768705i
\(280\) −7.76748e38 + 1.34751e39i −0.544191 + 0.944072i
\(281\) −1.02037e39 −0.675234 −0.337617 0.941284i \(-0.609621\pi\)
−0.337617 + 0.941284i \(0.609621\pi\)
\(282\) 4.76608e38 + 4.76608e38i 0.297972 + 0.297972i
\(283\) 1.63961e39 1.63961e39i 0.968627 0.968627i −0.0308960 0.999523i \(-0.509836\pi\)
0.999523 + 0.0308960i \(0.00983608\pi\)
\(284\) 3.57883e38i 0.199824i
\(285\) 1.03364e39 2.77728e38i 0.545572 0.146589i
\(286\) −1.42007e39 −0.708685
\(287\) 6.48115e38 + 6.48115e38i 0.305873 + 0.305873i
\(288\) −2.56145e38 + 2.56145e38i −0.114342 + 0.114342i
\(289\) 9.94958e38i 0.420184i
\(290\) −7.66054e38 2.85108e39i −0.306120 1.13931i
\(291\) 8.47226e38 0.320414
\(292\) 2.31803e38 + 2.31803e38i 0.0829838 + 0.0829838i
\(293\) 1.46044e39 1.46044e39i 0.494997 0.494997i −0.414879 0.909876i \(-0.636176\pi\)
0.909876 + 0.414879i \(0.136176\pi\)
\(294\) 8.55595e37i 0.0274606i
\(295\) −3.28726e39 1.89488e39i −0.999268 0.576008i
\(296\) 6.52237e39 1.87818
\(297\) 1.91897e39 + 1.91897e39i 0.523558 + 0.523558i
\(298\) −3.62079e39 + 3.62079e39i −0.936145 + 0.936145i
\(299\) 6.62964e39i 1.62462i
\(300\) 1.44319e38 5.41597e38i 0.0335262 0.125816i
\(301\) −4.57844e39 −1.00845
\(302\) −2.99692e39 2.99692e39i −0.625985 0.625985i
\(303\) −5.42369e38 + 5.42369e38i −0.107452 + 0.107452i
\(304\) 3.24034e39i 0.608994i
\(305\) −2.41754e39 + 4.19399e39i −0.431098 + 0.747876i
\(306\) 2.94753e39 0.498787
\(307\) −1.70789e39 1.70789e39i −0.274313 0.274313i 0.556521 0.830834i \(-0.312136\pi\)
−0.830834 + 0.556521i \(0.812136\pi\)
\(308\) 5.79690e38 5.79690e38i 0.0883861 0.0883861i
\(309\) 6.84839e39i 0.991409i
\(310\) 1.06130e38 2.85160e37i 0.0145899 0.00392014i
\(311\) 9.81154e39 1.28106 0.640532 0.767931i \(-0.278714\pi\)
0.640532 + 0.767931i \(0.278714\pi\)
\(312\) 5.05662e39 + 5.05662e39i 0.627172 + 0.627172i
\(313\) −8.21686e39 + 8.21686e39i −0.968270 + 0.968270i −0.999512 0.0312420i \(-0.990054\pi\)
0.0312420 + 0.999512i \(0.490054\pi\)
\(314\) 1.20502e39i 0.134934i
\(315\) 1.14820e39 + 4.27336e39i 0.122194 + 0.454779i
\(316\) −1.36599e39 −0.138183
\(317\) 4.52584e39 + 4.52584e39i 0.435262 + 0.435262i 0.890414 0.455152i \(-0.150415\pi\)
−0.455152 + 0.890414i \(0.650415\pi\)
\(318\) −2.80183e39 + 2.80183e39i −0.256217 + 0.256217i
\(319\) 1.03259e40i 0.898005i
\(320\) 1.16142e40 + 6.69477e39i 0.960702 + 0.553778i
\(321\) −1.39853e40 −1.10050
\(322\) −1.25462e40 1.25462e40i −0.939334 0.939334i
\(323\) −9.10516e39 + 9.10516e39i −0.648705 + 0.648705i
\(324\) 8.51858e38i 0.0577627i
\(325\) 1.69441e40 + 4.51510e39i 1.09367 + 0.291430i
\(326\) 2.28076e40 1.40152
\(327\) −9.83477e39 9.83477e39i −0.575440 0.575440i
\(328\) 5.74467e39 5.74467e39i 0.320099 0.320099i
\(329\) 1.21736e40i 0.646078i
\(330\) 4.53884e39 7.87404e39i 0.229468 0.398084i
\(331\) −2.93203e40 −1.41228 −0.706139 0.708073i \(-0.749565\pi\)
−0.706139 + 0.708073i \(0.749565\pi\)
\(332\) 3.57266e38 + 3.57266e38i 0.0163977 + 0.0163977i
\(333\) 1.31210e40 1.31210e40i 0.573930 0.573930i
\(334\) 3.27102e40i 1.36377i
\(335\) 6.59549e38 1.77214e38i 0.0262138 0.00704337i
\(336\) 1.56326e40 0.592382
\(337\) −2.95040e40 2.95040e40i −1.06611 1.06611i −0.997654 0.0684559i \(-0.978193\pi\)
−0.0684559 0.997654i \(-0.521807\pi\)
\(338\) −5.23002e39 + 5.23002e39i −0.180234 + 0.180234i
\(339\) 1.62063e40i 0.532707i
\(340\) 1.74977e39 + 6.51226e39i 0.0548680 + 0.204206i
\(341\) −3.84378e38 −0.0114998
\(342\) 7.98060e39 + 7.98060e39i 0.227834 + 0.227834i
\(343\) −2.53905e40 + 2.53905e40i −0.691776 + 0.691776i
\(344\) 4.05818e40i 1.05535i
\(345\) 3.67602e40 + 2.11897e40i 0.912583 + 0.526040i
\(346\) −3.99920e40 −0.947885
\(347\) 5.13663e39 + 5.13663e39i 0.116254 + 0.116254i 0.762840 0.646587i \(-0.223804\pi\)
−0.646587 + 0.762840i \(0.723804\pi\)
\(348\) 5.54086e39 5.54086e39i 0.119759 0.119759i
\(349\) 2.70211e40i 0.557823i −0.960317 0.278911i \(-0.910026\pi\)
0.960317 0.278911i \(-0.0899735\pi\)
\(350\) 4.06105e40 2.35213e40i 0.800846 0.463844i
\(351\) 6.44300e40 1.21388
\(352\) −9.50206e39 9.50206e39i −0.171055 0.171055i
\(353\) 1.34381e39 1.34381e39i 0.0231176 0.0231176i −0.695454 0.718571i \(-0.744796\pi\)
0.718571 + 0.695454i \(0.244796\pi\)
\(354\) 4.66891e40i 0.767650i
\(355\) −3.57864e40 + 6.20828e40i −0.562425 + 0.975703i
\(356\) −2.26897e40 −0.340901
\(357\) 4.39266e40 + 4.39266e40i 0.631009 + 0.631009i
\(358\) −8.40575e40 + 8.40575e40i −1.15464 + 1.15464i
\(359\) 2.49711e40i 0.328040i 0.986457 + 0.164020i \(0.0524462\pi\)
−0.986457 + 0.164020i \(0.947554\pi\)
\(360\) 3.78776e40 1.01773e40i 0.475929 0.127877i
\(361\) 3.38930e40 0.407376
\(362\) −9.85765e40 9.85765e40i −1.13354 1.13354i
\(363\) 2.46835e40 2.46835e40i 0.271582 0.271582i
\(364\) 1.94633e40i 0.204924i
\(365\) −1.70323e40 6.33905e40i −0.171628 0.638761i
\(366\) 5.95673e40 0.574528
\(367\) 3.75538e40 + 3.75538e40i 0.346734 + 0.346734i 0.858892 0.512157i \(-0.171154\pi\)
−0.512157 + 0.858892i \(0.671154\pi\)
\(368\) −9.08329e40 + 9.08329e40i −0.802930 + 0.802930i
\(369\) 2.31130e40i 0.195629i
\(370\) −1.70503e41 9.82834e40i −1.38199 0.796622i
\(371\) 7.15648e40 0.555542
\(372\) 2.06256e38 + 2.06256e38i 0.00153363 + 0.00153363i
\(373\) 1.13974e41 1.13974e41i 0.811831 0.811831i −0.173077 0.984908i \(-0.555371\pi\)
0.984908 + 0.173077i \(0.0553710\pi\)
\(374\) 1.09343e41i 0.746181i
\(375\) −7.91923e40 + 7.95210e40i −0.517825 + 0.519974i
\(376\) −1.07903e41 −0.676126
\(377\) 1.73348e41 + 1.73348e41i 1.04102 + 1.04102i
\(378\) 1.21931e41 1.21931e41i 0.701849 0.701849i
\(379\) 3.20505e41i 1.76851i −0.467004 0.884255i \(-0.654667\pi\)
0.467004 0.884255i \(-0.345333\pi\)
\(380\) −1.28947e40 + 2.23699e40i −0.0682140 + 0.118339i
\(381\) −4.75940e40 −0.241409
\(382\) 3.99726e40 + 3.99726e40i 0.194424 + 0.194424i
\(383\) 1.96001e41 1.96001e41i 0.914279 0.914279i −0.0823267 0.996605i \(-0.526235\pi\)
0.996605 + 0.0823267i \(0.0262351\pi\)
\(384\) 1.07484e41i 0.480887i
\(385\) −1.58526e41 + 4.25942e40i −0.680345 + 0.182801i
\(386\) 1.89460e41 0.780047
\(387\) 8.16380e40 + 8.16380e40i 0.322490 + 0.322490i
\(388\) −1.44523e40 + 1.44523e40i −0.0547811 + 0.0547811i
\(389\) 6.41335e40i 0.233287i −0.993174 0.116644i \(-0.962786\pi\)
0.993174 0.116644i \(-0.0372136\pi\)
\(390\) −5.59903e40 2.08383e41i −0.195470 0.727494i
\(391\) −5.10470e41 −1.71057
\(392\) −9.68523e39 9.68523e39i −0.0311554 0.0311554i
\(393\) −7.25931e40 + 7.25931e40i −0.224189 + 0.224189i
\(394\) 6.01301e41i 1.78300i
\(395\) 2.36962e41 + 1.36592e41i 0.674721 + 0.388930i
\(396\) −2.06728e40 −0.0565297
\(397\) −7.36589e40 7.36589e40i −0.193454 0.193454i 0.603733 0.797187i \(-0.293679\pi\)
−0.797187 + 0.603733i \(0.793679\pi\)
\(398\) 8.73868e40 8.73868e40i 0.220453 0.220453i
\(399\) 2.37867e41i 0.576459i
\(400\) −1.70290e41 2.94013e41i −0.396488 0.684553i
\(401\) −4.94593e41 −1.10647 −0.553233 0.833027i \(-0.686606\pi\)
−0.553233 + 0.833027i \(0.686606\pi\)
\(402\) −5.94229e39 5.94229e39i −0.0127743 0.0127743i
\(403\) −6.45282e39 + 6.45282e39i −0.0133312 + 0.0133312i
\(404\) 1.85039e40i 0.0367419i
\(405\) −8.51814e40 + 1.47774e41i −0.162579 + 0.282044i
\(406\) 6.56106e41 1.20381
\(407\) 4.86741e41 + 4.86741e41i 0.858593 + 0.858593i
\(408\) 3.89350e41 3.89350e41i 0.660356 0.660356i
\(409\) 1.09263e42i 1.78197i 0.454030 + 0.890986i \(0.349986\pi\)
−0.454030 + 0.890986i \(0.650014\pi\)
\(410\) −2.36738e41 + 6.36089e40i −0.371301 + 0.0997645i
\(411\) −1.21794e41 −0.183721
\(412\) 1.16823e41 + 1.16823e41i 0.169501 + 0.169501i
\(413\) 5.96271e41 5.96271e41i 0.832229 0.832229i
\(414\) 4.47423e41i 0.600776i
\(415\) −2.62511e40 9.77007e40i −0.0339139 0.126220i
\(416\) −3.19035e41 −0.396593
\(417\) −4.60313e41 4.60313e41i −0.550651 0.550651i
\(418\) −2.96052e41 + 2.96052e41i −0.340837 + 0.340837i
\(419\) 6.94897e41i 0.770010i −0.922915 0.385005i \(-0.874200\pi\)
0.922915 0.385005i \(-0.125800\pi\)
\(420\) 1.07921e41 + 6.22087e40i 0.115111 + 0.0663533i
\(421\) −1.06991e42 −1.09858 −0.549292 0.835631i \(-0.685103\pi\)
−0.549292 + 0.835631i \(0.685103\pi\)
\(422\) 2.56256e41 + 2.56256e41i 0.253323 + 0.253323i
\(423\) −2.17067e41 + 2.17067e41i −0.206608 + 0.206608i
\(424\) 6.34327e41i 0.581379i
\(425\) 3.47654e41 1.30467e42i 0.306849 1.15153i
\(426\) 8.81764e41 0.749547
\(427\) −7.60741e41 7.60741e41i −0.622860 0.622860i
\(428\) 2.38567e41 2.38567e41i 0.188153 0.188153i
\(429\) 7.54715e41i 0.573411i
\(430\) 6.11513e41 1.06086e42i 0.447621 0.776540i
\(431\) 8.14754e41 0.574632 0.287316 0.957836i \(-0.407237\pi\)
0.287316 + 0.957836i \(0.407237\pi\)
\(432\) −8.82758e41 8.82758e41i −0.599931 0.599931i
\(433\) 7.61446e41 7.61446e41i 0.498692 0.498692i −0.412338 0.911031i \(-0.635288\pi\)
0.911031 + 0.412338i \(0.135288\pi\)
\(434\) 2.44233e40i 0.0154159i
\(435\) −1.51524e42 + 4.07130e41i −0.921838 + 0.247688i
\(436\) 3.35531e41 0.196766
\(437\) −1.38213e42 1.38213e42i −0.781348 0.781348i
\(438\) −5.71124e41 + 5.71124e41i −0.311276 + 0.311276i
\(439\) 4.16393e41i 0.218812i −0.993997 0.109406i \(-0.965105\pi\)
0.993997 0.109406i \(-0.0348949\pi\)
\(440\) 3.77541e41 + 1.40512e42i 0.191303 + 0.711986i
\(441\) −3.89673e40 −0.0190407
\(442\) 1.83561e42 + 1.83561e42i 0.865016 + 0.865016i
\(443\) −1.39387e42 + 1.39387e42i −0.633525 + 0.633525i −0.948950 0.315425i \(-0.897853\pi\)
0.315425 + 0.948950i \(0.397853\pi\)
\(444\) 5.22367e41i 0.229007i
\(445\) 3.93603e42 + 2.26885e42i 1.66456 + 0.959500i
\(446\) −1.57559e41 −0.0642814
\(447\) 1.92432e42 + 1.92432e42i 0.757455 + 0.757455i
\(448\) −2.10668e42 + 2.10668e42i −0.800110 + 0.800110i
\(449\) 1.23901e42i 0.454081i −0.973885 0.227040i \(-0.927095\pi\)
0.973885 0.227040i \(-0.0729049\pi\)
\(450\) −1.14353e42 3.04716e41i −0.404433 0.107769i
\(451\) 8.57409e41 0.292660
\(452\) 2.76454e41 + 2.76454e41i 0.0910768 + 0.0910768i
\(453\) −1.59275e42 + 1.59275e42i −0.506498 + 0.506498i
\(454\) 9.21008e41i 0.282728i
\(455\) −1.94623e42 + 3.37634e42i −0.576781 + 1.00061i
\(456\) 2.10838e42 0.603268
\(457\) −5.74881e41 5.74881e41i −0.158825 0.158825i 0.623221 0.782046i \(-0.285824\pi\)
−0.782046 + 0.623221i \(0.785824\pi\)
\(458\) −1.59953e42 + 1.59953e42i −0.426720 + 0.426720i
\(459\) 4.96099e42i 1.27810i
\(460\) −9.88534e41 + 2.65608e41i −0.245961 + 0.0660870i
\(461\) −2.91709e42 −0.701028 −0.350514 0.936557i \(-0.613993\pi\)
−0.350514 + 0.936557i \(0.613993\pi\)
\(462\) 1.42826e42 + 1.42826e42i 0.331540 + 0.331540i
\(463\) 2.70805e42 2.70805e42i 0.607240 0.607240i −0.334984 0.942224i \(-0.608731\pi\)
0.942224 + 0.334984i \(0.108731\pi\)
\(464\) 4.75011e42i 1.02900i
\(465\) −1.51552e40 5.64043e40i −0.00317187 0.0118050i
\(466\) 2.13295e42 0.431326
\(467\) −1.11563e42 1.11563e42i −0.217996 0.217996i 0.589657 0.807653i \(-0.299263\pi\)
−0.807653 + 0.589657i \(0.799263\pi\)
\(468\) −3.47049e41 + 3.47049e41i −0.0655325 + 0.0655325i
\(469\) 1.51779e41i 0.0276979i
\(470\) 2.82073e42 + 1.62595e42i 0.497502 + 0.286775i
\(471\) 6.40425e41 0.109178
\(472\) −5.28515e42 5.28515e42i −0.870934 0.870934i
\(473\) −3.02848e42 + 3.02848e42i −0.482443 + 0.482443i
\(474\) 3.36557e42i 0.518329i
\(475\) 4.47375e42 2.59116e42i 0.666153 0.385831i
\(476\) −1.49864e42 −0.215767
\(477\) −1.27607e42 1.27607e42i −0.177656 0.177656i
\(478\) 2.36399e42 2.36399e42i 0.318273 0.318273i
\(479\) 8.04216e42i 1.04714i 0.851983 + 0.523569i \(0.175400\pi\)
−0.851983 + 0.523569i \(0.824600\pi\)
\(480\) 1.01970e42 1.76899e42i 0.128414 0.222775i
\(481\) 1.63425e43 1.99066
\(482\) −8.67209e42 8.67209e42i −1.02181 1.02181i
\(483\) −6.66787e42 + 6.66787e42i −0.760034 + 0.760034i
\(484\) 8.42124e41i 0.0928646i
\(485\) 3.95224e42 1.06192e42i 0.421673 0.113299i
\(486\) −7.32351e42 −0.756030
\(487\) 7.74349e42 + 7.74349e42i 0.773523 + 0.773523i 0.978721 0.205197i \(-0.0657836\pi\)
−0.205197 + 0.978721i \(0.565784\pi\)
\(488\) −6.74295e42 + 6.74295e42i −0.651828 + 0.651828i
\(489\) 1.21214e43i 1.13400i
\(490\) 1.07241e41 + 3.99128e41i 0.00971013 + 0.0361389i
\(491\) 2.72662e41 0.0238957 0.0119479 0.999929i \(-0.496197\pi\)
0.0119479 + 0.999929i \(0.496197\pi\)
\(492\) −4.60083e41 4.60083e41i −0.0390296 0.0390296i
\(493\) 1.33475e43 1.33475e43i 1.09610 1.09610i
\(494\) 9.94003e42i 0.790236i
\(495\) 3.58617e42 + 2.06717e42i 0.276024 + 0.159109i
\(496\) 1.76821e41 0.0131773
\(497\) −1.12611e43 1.12611e43i −0.812603 0.812603i
\(498\) −8.80246e41 + 8.80246e41i −0.0615084 + 0.0615084i
\(499\) 1.35812e43i 0.919031i 0.888170 + 0.459515i \(0.151977\pi\)
−0.888170 + 0.459515i \(0.848023\pi\)
\(500\) −5.60628e39 2.70740e42i −0.000367413 0.177432i
\(501\) −1.73843e43 −1.10345
\(502\) 1.29932e43 + 1.29932e43i 0.798837 + 0.798837i
\(503\) −8.85029e42 + 8.85029e42i −0.527072 + 0.527072i −0.919698 0.392626i \(-0.871567\pi\)
0.392626 + 0.919698i \(0.371567\pi\)
\(504\) 8.71660e42i 0.502873i
\(505\) −1.85029e42 + 3.20992e42i −0.103414 + 0.179404i
\(506\) −1.65978e43 −0.898756
\(507\) 2.77956e42 + 2.77956e42i 0.145831 + 0.145831i
\(508\) 8.11879e41 8.11879e41i 0.0412736 0.0412736i
\(509\) 1.49840e43i 0.738146i 0.929400 + 0.369073i \(0.120325\pi\)
−0.929400 + 0.369073i \(0.879675\pi\)
\(510\) −1.60451e43 + 4.31115e42i −0.765985 + 0.205812i
\(511\) 1.45878e43 0.674924
\(512\) 1.76925e43 + 1.76925e43i 0.793359 + 0.793359i
\(513\) 1.34322e43 1.34322e43i 0.583805 0.583805i
\(514\) 1.46510e42i 0.0617246i
\(515\) −8.58386e42 3.19472e43i −0.350564 1.30472i
\(516\) 3.25014e42 0.128679
\(517\) −8.05241e42 8.05241e42i −0.309084 0.309084i
\(518\) 3.09274e43 3.09274e43i 1.15098 1.15098i
\(519\) 2.12543e43i 0.766953i
\(520\) 2.99268e43 + 1.72507e43i 1.04714 + 0.603606i
\(521\) 2.06750e43 0.701523 0.350761 0.936465i \(-0.385923\pi\)
0.350761 + 0.936465i \(0.385923\pi\)
\(522\) −1.16990e43 1.16990e43i −0.384964 0.384964i
\(523\) −3.34965e42 + 3.34965e42i −0.106899 + 0.106899i −0.758533 0.651634i \(-0.774084\pi\)
0.651634 + 0.758533i \(0.274084\pi\)
\(524\) 2.47665e42i 0.0766591i
\(525\) −1.25007e43 2.15830e43i −0.375306 0.647981i
\(526\) −5.50540e43 −1.60331
\(527\) 4.96855e41 + 4.96855e41i 0.0140365 + 0.0140365i
\(528\) 1.03404e43 1.03404e43i 0.283396 0.283396i
\(529\) 3.98783e43i 1.06034i
\(530\) −9.55845e42 + 1.65821e43i −0.246589 + 0.427786i
\(531\) −2.12641e43 −0.532274
\(532\) −4.05764e42 4.05764e42i −0.0985570 0.0985570i
\(533\) 1.43939e43 1.43939e43i 0.339268 0.339268i
\(534\) 5.59036e43i 1.27873i
\(535\) −6.52403e43 + 1.75293e43i −1.44829 + 0.389139i
\(536\) 1.34532e42 0.0289860
\(537\) 4.46735e43 + 4.46735e43i 0.934247 + 0.934247i
\(538\) 5.04567e43 5.04567e43i 1.02424 1.02424i
\(539\) 1.44555e42i 0.0284847i
\(540\) −2.58131e42 9.60705e42i −0.0493787 0.183776i
\(541\) −1.12660e43 −0.209224 −0.104612 0.994513i \(-0.533360\pi\)
−0.104612 + 0.994513i \(0.533360\pi\)
\(542\) 2.05731e43 + 2.05731e43i 0.370946 + 0.370946i
\(543\) −5.23898e43 + 5.23898e43i −0.917169 + 0.917169i
\(544\) 2.45651e43i 0.417576i
\(545\) −5.82055e43 3.35514e43i −0.960771 0.553817i
\(546\) 4.79543e43 0.768680
\(547\) 1.80975e43 + 1.80975e43i 0.281723 + 0.281723i 0.833796 0.552073i \(-0.186163\pi\)
−0.552073 + 0.833796i \(0.686163\pi\)
\(548\) 2.07762e42 2.07762e42i 0.0314107 0.0314107i
\(549\) 2.71294e43i 0.398367i
\(550\) 1.13039e43 4.24208e43i 0.161222 0.605029i
\(551\) 7.22783e43 1.00134
\(552\) 5.91018e43 + 5.91018e43i 0.795382 + 0.795382i
\(553\) −4.29821e43 + 4.29821e43i −0.561934 + 0.561934i
\(554\) 7.63837e43i 0.970162i
\(555\) −5.22340e43 + 9.06164e43i −0.644564 + 1.11820i
\(556\) 1.57044e43 0.188289
\(557\) −7.51595e43 7.51595e43i −0.875590 0.875590i 0.117485 0.993075i \(-0.462517\pi\)
−0.993075 + 0.117485i \(0.962517\pi\)
\(558\) 4.35490e41 4.35490e41i 0.00492981 0.00492981i
\(559\) 1.01682e44i 1.11855i
\(560\) 7.29247e43 1.95941e43i 0.779590 0.209467i
\(561\) 5.81117e43 0.603751
\(562\) 4.28851e43 + 4.28851e43i 0.433037 + 0.433037i
\(563\) 5.95350e43 5.95350e43i 0.584303 0.584303i −0.351780 0.936083i \(-0.614423\pi\)
0.936083 + 0.351780i \(0.114423\pi\)
\(564\) 8.64179e42i 0.0824400i
\(565\) −2.03132e43 7.56011e43i −0.188366 0.701056i
\(566\) −1.37822e44 −1.24239
\(567\) −2.68045e43 2.68045e43i −0.234898 0.234898i
\(568\) −9.98146e43 + 9.98146e43i −0.850395 + 0.850395i
\(569\) 7.38465e43i 0.611693i −0.952081 0.305847i \(-0.901061\pi\)
0.952081 0.305847i \(-0.0989395\pi\)
\(570\) −5.51158e43 3.17704e43i −0.443893 0.255873i
\(571\) −1.06965e44 −0.837654 −0.418827 0.908066i \(-0.637559\pi\)
−0.418827 + 0.908066i \(0.637559\pi\)
\(572\) −1.28743e43 1.28743e43i −0.0980360 0.0980360i
\(573\) 2.12440e43 2.12440e43i 0.157312 0.157312i
\(574\) 5.44794e43i 0.392322i
\(575\) 1.98043e44 + 5.27725e43i 1.38699 + 0.369592i
\(576\) 7.51281e43 0.511732
\(577\) −1.21439e44 1.21439e44i −0.804535 0.804535i 0.179266 0.983801i \(-0.442628\pi\)
−0.983801 + 0.179266i \(0.942628\pi\)
\(578\) 4.18172e43 4.18172e43i 0.269470 0.269470i
\(579\) 1.00691e44i 0.631152i
\(580\) 1.89027e43 3.27927e43i 0.115259 0.199954i
\(581\) 2.24834e43 0.133366
\(582\) −3.56082e43 3.56082e43i −0.205486 0.205486i
\(583\) 4.73375e43 4.73375e43i 0.265772 0.265772i
\(584\) 1.29301e44i 0.706313i
\(585\) 9.49064e43 2.55003e43i 0.504431 0.135535i
\(586\) −1.22762e44 −0.634897
\(587\) 3.83162e43 + 3.83162e43i 0.192829 + 0.192829i 0.796917 0.604088i \(-0.206463\pi\)
−0.604088 + 0.796917i \(0.706463\pi\)
\(588\) −7.75676e41 + 7.75676e41i −0.00379877 + 0.00379877i
\(589\) 2.69053e42i 0.0128231i
\(590\) 5.85207e43 + 2.17801e44i 0.271442 + 1.01025i
\(591\) 3.19569e44 1.44266
\(592\) −2.23909e44 2.23909e44i −0.983840 0.983840i
\(593\) −4.71832e43 + 4.71832e43i −0.201796 + 0.201796i −0.800769 0.598973i \(-0.795576\pi\)
0.598973 + 0.800769i \(0.295576\pi\)
\(594\) 1.61305e44i 0.671530i
\(595\) 2.59972e44 + 1.49856e44i 1.05355 + 0.607298i
\(596\) −6.56517e43 −0.259004
\(597\) −4.64429e43 4.64429e43i −0.178373 0.178373i
\(598\) −2.78638e44 + 2.78638e44i −1.04189 + 1.04189i
\(599\) 4.37547e44i 1.59293i 0.604686 + 0.796464i \(0.293298\pi\)
−0.604686 + 0.796464i \(0.706702\pi\)
\(600\) −1.91304e44 + 1.10802e44i −0.678117 + 0.392760i
\(601\) −1.15484e44 −0.398594 −0.199297 0.979939i \(-0.563866\pi\)
−0.199297 + 0.979939i \(0.563866\pi\)
\(602\) 1.92428e44 + 1.92428e44i 0.646733 + 0.646733i
\(603\) 2.70636e42 2.70636e42i 0.00885746 0.00885746i
\(604\) 5.43398e43i 0.173192i
\(605\) 8.42080e43 1.46085e44i 0.261377 0.453441i
\(606\) 4.55906e43 0.137820
\(607\) −7.80195e43 7.80195e43i −0.229712 0.229712i 0.582860 0.812572i \(-0.301934\pi\)
−0.812572 + 0.582860i \(0.801934\pi\)
\(608\) −6.65114e43 + 6.65114e43i −0.190739 + 0.190739i
\(609\) 3.48696e44i 0.974027i
\(610\) 2.77877e44 7.46625e43i 0.756093 0.203154i
\(611\) −2.70362e44 −0.716616
\(612\) 2.67221e43 + 2.67221e43i 0.0689998 + 0.0689998i
\(613\) 3.31005e44 3.31005e44i 0.832659 0.832659i −0.155221 0.987880i \(-0.549609\pi\)
0.987880 + 0.155221i \(0.0496088\pi\)
\(614\) 1.43562e44i 0.351841i
\(615\) 3.38058e43 + 1.25818e44i 0.0807215 + 0.300427i
\(616\) −3.23355e44 −0.752294
\(617\) 5.34985e43 + 5.34985e43i 0.121277 + 0.121277i 0.765141 0.643863i \(-0.222669\pi\)
−0.643863 + 0.765141i \(0.722669\pi\)
\(618\) −2.87832e44 + 2.87832e44i −0.635804 + 0.635804i
\(619\) 5.67847e44i 1.22231i 0.791511 + 0.611155i \(0.209295\pi\)
−0.791511 + 0.611155i \(0.790705\pi\)
\(620\) 1.22069e42 + 7.03644e41i 0.00256059 + 0.00147600i
\(621\) 7.53058e44 1.53944
\(622\) −4.12371e44 4.12371e44i −0.821564 0.821564i
\(623\) −7.13950e44 + 7.13950e44i −1.38631 + 1.38631i
\(624\) 3.47182e44i 0.657057i
\(625\) −2.69753e44 + 4.70220e44i −0.497607 + 0.867403i
\(626\) 6.90695e44 1.24193
\(627\) 1.57341e44 + 1.57341e44i 0.275778 + 0.275778i
\(628\) −1.09246e43 + 1.09246e43i −0.0186661 + 0.0186661i
\(629\) 1.25834e45i 2.09599i
\(630\) 1.31347e44 2.27864e44i 0.213291 0.370021i
\(631\) −1.58265e44 −0.250562 −0.125281 0.992121i \(-0.539983\pi\)
−0.125281 + 0.992121i \(0.539983\pi\)
\(632\) 3.80979e44 + 3.80979e44i 0.588068 + 0.588068i
\(633\) 1.36190e44 1.36190e44i 0.204969 0.204969i
\(634\) 3.80435e44i 0.558280i
\(635\) −2.22022e44 + 5.96550e43i −0.317700 + 0.0853625i
\(636\) −5.08023e43 −0.0708875
\(637\) −2.42674e43 2.42674e43i −0.0330211 0.0330211i
\(638\) 4.33990e44 4.33990e44i 0.575903 0.575903i
\(639\) 4.01592e44i 0.519722i
\(640\) −1.34722e44 5.01403e44i −0.170043 0.632860i
\(641\) 2.56042e44 0.315198 0.157599 0.987503i \(-0.449625\pi\)
0.157599 + 0.987503i \(0.449625\pi\)
\(642\) 5.87790e44 + 5.87790e44i 0.705767 + 0.705767i
\(643\) −3.22789e44 + 3.22789e44i −0.378045 + 0.378045i −0.870396 0.492352i \(-0.836137\pi\)
0.492352 + 0.870396i \(0.336137\pi\)
\(644\) 2.27487e44i 0.259886i
\(645\) −5.63810e44 3.24997e44i −0.628315 0.362180i
\(646\) 7.65364e44 0.832047
\(647\) −1.31997e45 1.31997e45i −1.39990 1.39990i −0.800304 0.599595i \(-0.795328\pi\)
−0.599595 0.800304i \(-0.704672\pi\)
\(648\) −2.37586e44 + 2.37586e44i −0.245822 + 0.245822i
\(649\) 7.88823e44i 0.796278i
\(650\) −5.22381e44 9.01913e44i −0.514486 0.888282i
\(651\) 1.29801e43 0.0124733
\(652\) 2.06772e44 + 2.06772e44i 0.193879 + 0.193879i
\(653\) 1.19634e45 1.19634e45i 1.09457 1.09457i 0.0995407 0.995033i \(-0.468263\pi\)
0.995033 0.0995407i \(-0.0317373\pi\)
\(654\) 8.26694e44i 0.738076i
\(655\) −2.47652e44 + 4.29630e44i −0.215765 + 0.374312i
\(656\) −3.94422e44 −0.335351
\(657\) −2.60114e44 2.60114e44i −0.215833 0.215833i
\(658\) −5.11647e44 + 5.11647e44i −0.414339 + 0.414339i
\(659\) 2.44141e45i 1.92963i 0.262933 + 0.964814i \(0.415310\pi\)
−0.262933 + 0.964814i \(0.584690\pi\)
\(660\) 1.12534e44 3.02367e43i 0.0868124 0.0233256i
\(661\) −1.93434e45 −1.45649 −0.728247 0.685314i \(-0.759665\pi\)
−0.728247 + 0.685314i \(0.759665\pi\)
\(662\) 1.23231e45 + 1.23231e45i 0.905714 + 0.905714i
\(663\) 9.75560e44 9.75560e44i 0.699902 0.699902i
\(664\) 1.99286e44i 0.139568i
\(665\) 2.98146e44 + 1.10963e45i 0.203837 + 0.758635i
\(666\) −1.10293e45 −0.736138
\(667\) 2.02610e45 + 2.02610e45i 1.32022 + 1.32022i
\(668\) 2.96549e44 2.96549e44i 0.188657 0.188657i
\(669\) 8.37368e43i 0.0520114i
\(670\) −3.51684e43 2.02722e43i −0.0213283 0.0122943i
\(671\) −1.00640e45 −0.595953
\(672\) 3.20875e44 + 3.20875e44i 0.185536 + 0.185536i
\(673\) 1.60472e45 1.60472e45i 0.906065 0.906065i −0.0898869 0.995952i \(-0.528651\pi\)
0.995952 + 0.0898869i \(0.0286506\pi\)
\(674\) 2.48005e45i 1.36742i
\(675\) −5.12869e44 + 1.92468e45i −0.276151 + 1.03633i
\(676\) −9.48300e43 −0.0498653
\(677\) −1.82987e45 1.82987e45i −0.939727 0.939727i 0.0585573 0.998284i \(-0.481350\pi\)
−0.998284 + 0.0585573i \(0.981350\pi\)
\(678\) −6.81137e44 + 6.81137e44i −0.341633 + 0.341633i
\(679\) 9.09512e44i 0.445545i
\(680\) 1.32827e45 2.30431e45i 0.635542 1.10255i
\(681\) −4.89482e44 −0.228761
\(682\) 1.61551e43 + 1.61551e43i 0.00737496 + 0.00737496i
\(683\) 6.03515e44 6.03515e44i 0.269127 0.269127i −0.559622 0.828748i \(-0.689054\pi\)
0.828748 + 0.559622i \(0.189054\pi\)
\(684\) 1.44703e44i 0.0630348i
\(685\) −5.68162e44 + 1.52659e44i −0.241781 + 0.0649640i
\(686\) 2.13428e45 0.887291
\(687\) 8.50089e44 + 8.50089e44i 0.345268 + 0.345268i
\(688\) 1.39315e45 1.39315e45i 0.552819 0.552819i
\(689\) 1.58937e45i 0.616195i
\(690\) −6.54415e44 2.43558e45i −0.247895 0.922609i
\(691\) 8.47415e43 0.0313652 0.0156826 0.999877i \(-0.495008\pi\)
0.0156826 + 0.999877i \(0.495008\pi\)
\(692\) −3.62565e44 3.62565e44i −0.131126 0.131126i
\(693\) −6.50489e44 + 6.50489e44i −0.229884 + 0.229884i
\(694\) 4.31777e44i 0.149110i
\(695\) −2.72429e45 1.57036e45i −0.919382 0.529960i
\(696\) −3.09073e45 −1.01933
\(697\) −1.10830e45 1.10830e45i −0.357219 0.357219i
\(698\) −1.13567e45 + 1.13567e45i −0.357739 + 0.357739i
\(699\) 1.13358e45i 0.348994i
\(700\) 5.81414e44 + 1.54929e44i 0.174951 + 0.0466193i
\(701\) −4.47213e43 −0.0131530 −0.00657652 0.999978i \(-0.502093\pi\)
−0.00657652 + 0.999978i \(0.502093\pi\)
\(702\) −2.70794e45 2.70794e45i −0.778476 0.778476i
\(703\) 3.40703e45 3.40703e45i 0.957395 0.957395i
\(704\) 2.78698e45i 0.765547i
\(705\) 8.64134e44 1.49911e45i 0.232036 0.402539i
\(706\) −1.12958e44 −0.0296513
\(707\) −5.82242e44 5.82242e44i −0.149415 0.149415i
\(708\) −4.23280e44 + 4.23280e44i −0.106193 + 0.106193i
\(709\) 3.36170e45i 0.824555i 0.911058 + 0.412278i \(0.135267\pi\)
−0.911058 + 0.412278i \(0.864733\pi\)
\(710\) 4.11336e45 1.10521e45i 0.986423 0.265041i
\(711\) 1.53282e45 0.359400
\(712\) 6.32822e45 + 6.32822e45i 1.45078 + 1.45078i
\(713\) −7.54206e43 + 7.54206e43i −0.0169066 + 0.0169066i
\(714\) 3.69239e45i 0.809350i
\(715\) 9.45970e44 + 3.52069e45i 0.202759 + 0.754624i
\(716\) −1.52412e45 −0.319456
\(717\) −1.25638e45 1.25638e45i −0.257521 0.257521i
\(718\) 1.04951e45 1.04951e45i 0.210377 0.210377i
\(719\) 9.15494e43i 0.0179471i 0.999960 + 0.00897353i \(0.00285640\pi\)
−0.999960 + 0.00897353i \(0.997144\pi\)
\(720\) −1.64970e45 9.50935e44i −0.316289 0.182319i
\(721\) 7.35186e45 1.37858
\(722\) −1.42449e45 1.42449e45i −0.261256 0.261256i
\(723\) −4.60890e45 + 4.60890e45i −0.826770 + 0.826770i
\(724\) 1.78738e45i 0.313616i
\(725\) −6.55820e45 + 3.79846e45i −1.12558 + 0.651927i
\(726\) −2.07485e45 −0.348339
\(727\) 1.12691e45 + 1.12691e45i 0.185071 + 0.185071i 0.793561 0.608490i \(-0.208225\pi\)
−0.608490 + 0.793561i \(0.708225\pi\)
\(728\) −5.42837e45 + 5.42837e45i −0.872102 + 0.872102i
\(729\) 5.96353e45i 0.937267i
\(730\) −1.94840e45 + 3.38011e45i −0.299579 + 0.519714i
\(731\) 7.82933e45 1.17773
\(732\) 5.40033e44 + 5.40033e44i 0.0794773 + 0.0794773i
\(733\) −1.66007e45 + 1.66007e45i −0.239036 + 0.239036i −0.816451 0.577415i \(-0.804062\pi\)
0.577415 + 0.816451i \(0.304062\pi\)
\(734\) 3.15671e45i 0.444731i
\(735\) 2.12122e44 5.69949e43i 0.0292407 0.00785667i
\(736\) −3.72888e45 −0.502960
\(737\) 1.00396e44 + 1.00396e44i 0.0132507 + 0.0132507i
\(738\) −9.71419e44 + 9.71419e44i −0.125460 + 0.125460i
\(739\) 1.30139e46i 1.64474i −0.568954 0.822370i \(-0.692652\pi\)
0.568954 0.822370i \(-0.307348\pi\)
\(740\) −6.54742e44 2.43680e45i −0.0809772 0.301379i
\(741\) 5.28276e45 0.639396
\(742\) −3.00781e45 3.00781e45i −0.356277 0.356277i
\(743\) −6.13827e45 + 6.13827e45i −0.711583 + 0.711583i −0.966866 0.255284i \(-0.917831\pi\)
0.255284 + 0.966866i \(0.417831\pi\)
\(744\) 1.15051e44i 0.0130534i
\(745\) 1.13888e46 + 6.56483e45i 1.26467 + 0.728992i
\(746\) −9.58049e45 −1.04128
\(747\) −4.00900e44 4.00900e44i −0.0426488 0.0426488i
\(748\) −9.91294e44 + 9.91294e44i −0.103223 + 0.103223i
\(749\) 1.50134e46i 1.53028i
\(750\) 6.67059e45 1.38130e43i 0.665555 0.00137818i
\(751\) 1.18592e46 1.15829 0.579146 0.815224i \(-0.303386\pi\)
0.579146 + 0.815224i \(0.303386\pi\)
\(752\) 3.70424e45 + 3.70424e45i 0.354172 + 0.354172i
\(753\) 6.90544e45