Properties

Label 54.9.f.a.5.18
Level $54$
Weight $9$
Character 54.5
Analytic conductor $21.998$
Analytic rank $0$
Dimension $144$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [54,9,Mod(5,54)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(54, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([5]))
 
N = Newforms(chi, 9, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("54.5");
 
S:= CuspForms(chi, 9);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 54 = 2 \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 9 \)
Character orbit: \([\chi]\) \(=\) 54.f (of order \(18\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(21.9984449433\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(24\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 5.18
Character \(\chi\) \(=\) 54.5
Dual form 54.9.f.a.11.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(7.27231 + 8.66680i) q^{2} +(13.3090 + 79.8991i) q^{3} +(-22.2270 + 126.055i) q^{4} +(259.000 + 711.596i) q^{5} +(-595.682 + 696.398i) q^{6} +(690.888 + 3918.22i) q^{7} +(-1254.14 + 724.077i) q^{8} +(-6206.74 + 2126.76i) q^{9} +O(q^{10})\) \(q+(7.27231 + 8.66680i) q^{2} +(13.3090 + 79.8991i) q^{3} +(-22.2270 + 126.055i) q^{4} +(259.000 + 711.596i) q^{5} +(-595.682 + 696.398i) q^{6} +(690.888 + 3918.22i) q^{7} +(-1254.14 + 724.077i) q^{8} +(-6206.74 + 2126.76i) q^{9} +(-4283.73 + 7419.64i) q^{10} +(9363.33 - 25725.5i) q^{11} +(-10367.5 - 98.2389i) q^{12} +(34595.6 + 29029.2i) q^{13} +(-28934.1 + 34482.3i) q^{14} +(-53408.8 + 30164.5i) q^{15} +(-15395.9 - 5603.66i) q^{16} +(61223.1 + 35347.2i) q^{17} +(-63569.6 - 38326.1i) q^{18} +(-67908.2 - 117620. i) q^{19} +(-95457.2 + 16831.7i) q^{20} +(-303867. + 107349. i) q^{21} +(291051. - 105934. i) q^{22} +(176102. + 31051.5i) q^{23} +(-74544.5 - 90567.8i) q^{24} +(-140051. + 117517. i) q^{25} +510943. i q^{26} +(-252532. - 467608. i) q^{27} -509269. q^{28} +(-577310. - 688012. i) q^{29} +(-649835. - 243518. i) q^{30} +(36610.6 - 207629. i) q^{31} +(-63398.2 - 174185. i) q^{32} +(2.18006e6 + 405739. i) q^{33} +(138886. + 787664. i) q^{34} +(-2.60925e6 + 1.50645e6i) q^{35} +(-130133. - 829664. i) q^{36} +(681814. - 1.18094e6i) q^{37} +(525544. - 1.44392e6i) q^{38} +(-1.85897e6 + 3.15051e6i) q^{39} +(-840072. - 704904. i) q^{40} +(-276951. + 330057. i) q^{41} +(-3.14019e6 - 1.85288e6i) q^{42} +(-1.34366e6 - 489054. i) q^{43} +(3.03472e6 + 1.75210e6i) q^{44} +(-3.12094e6 - 3.86586e6i) q^{45} +(1.01155e6 + 1.75206e6i) q^{46} +(4.35717e6 - 768287. i) q^{47} +(242822. - 1.30470e6i) q^{48} +(-9.45798e6 + 3.44242e6i) q^{49} +(-2.03700e6 - 359177. i) q^{50} +(-2.00939e6 + 5.36211e6i) q^{51} +(-4.42824e6 + 3.71573e6i) q^{52} +4.62428e6i q^{53} +(2.21617e6 - 5.58924e6i) q^{54} +2.07313e7 q^{55} +(-3.70356e6 - 4.41374e6i) q^{56} +(8.49398e6 - 6.99122e6i) q^{57} +(1.76448e6 - 1.00069e7i) q^{58} +(2.57470e6 + 7.07393e6i) q^{59} +(-2.61528e6 - 7.40294e6i) q^{60} +(41633.1 + 236113. i) q^{61} +(2.06572e6 - 1.19265e6i) q^{62} +(-1.26213e7 - 2.28500e7i) q^{63} +(1.04858e6 - 1.81619e6i) q^{64} +(-1.16968e7 + 3.21366e7i) q^{65} +(1.23376e7 + 2.18449e7i) q^{66} +(1.91288e7 + 1.60509e7i) q^{67} +(-5.81650e6 + 6.93184e6i) q^{68} +(-137242. + 1.44836e7i) q^{69} +(-3.20314e7 - 1.16585e7i) q^{70} +(3.71858e7 + 2.14693e7i) q^{71} +(6.24417e6 - 7.16141e6i) q^{72} +(-9.53031e6 - 1.65070e7i) q^{73} +(1.51933e7 - 2.67899e6i) q^{74} +(-1.12535e7 - 9.62595e6i) q^{75} +(1.63361e7 - 5.94585e6i) q^{76} +(1.07267e8 + 1.89141e7i) q^{77} +(-4.08239e7 + 6.80015e6i) q^{78} +(2.53112e7 - 2.12386e7i) q^{79} -1.24070e7i q^{80} +(3.40005e7 - 2.64005e7i) q^{81} -4.87462e6 q^{82} +(-4.49744e7 - 5.35984e7i) q^{83} +(-6.77788e6 - 4.06902e7i) q^{84} +(-9.29613e6 + 5.27210e7i) q^{85} +(-5.53301e6 - 1.52018e7i) q^{86} +(4.72881e7 - 5.52834e7i) q^{87} +(6.88436e6 + 3.90432e7i) q^{88} +(4.16944e7 - 2.40723e7i) q^{89} +(1.08082e7 - 5.51623e7i) q^{90} +(-8.98410e7 + 1.55609e8i) q^{91} +(-7.82842e6 + 2.15084e7i) q^{92} +(1.70766e7 + 161812. i) q^{93} +(3.83453e7 + 3.21755e7i) q^{94} +(6.61100e7 - 7.87868e7i) q^{95} +(1.30735e7 - 7.38369e6i) q^{96} +(-8.58164e7 - 3.12346e7i) q^{97} +(-9.86162e7 - 5.69361e7i) q^{98} +(-3.40367e6 + 1.79585e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q + 882 q^{5} + 768 q^{6} + 25908 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 144 q + 882 q^{5} + 768 q^{6} + 25908 q^{9} - 45756 q^{11} - 21504 q^{12} + 94464 q^{14} - 70002 q^{15} - 182784 q^{18} - 225792 q^{20} - 2071668 q^{21} + 185472 q^{22} + 552996 q^{23} - 1015182 q^{25} - 4137588 q^{27} - 2856132 q^{29} - 861696 q^{30} - 1841490 q^{31} + 10547334 q^{33} - 661248 q^{34} - 12450834 q^{35} - 5104128 q^{36} + 14063616 q^{38} + 4239102 q^{39} - 15673536 q^{41} - 11028480 q^{42} - 4412520 q^{43} - 12558942 q^{45} + 15173838 q^{47} + 3440640 q^{48} - 11347488 q^{49} - 27744768 q^{50} - 3281850 q^{51} + 16379136 q^{54} + 12091392 q^{56} - 13553658 q^{57} - 86547168 q^{59} - 26125056 q^{60} - 34059456 q^{61} + 108329070 q^{63} + 150994944 q^{64} + 22190346 q^{65} + 152091648 q^{66} + 167100948 q^{67} + 13411584 q^{68} - 40190130 q^{69} - 118080000 q^{70} - 251437608 q^{71} - 60948480 q^{72} + 15265278 q^{73} + 41902848 q^{74} + 138868662 q^{75} + 67995648 q^{76} + 564911586 q^{77} + 201203712 q^{78} + 137535768 q^{79} - 23838948 q^{81} - 482857578 q^{83} - 128300544 q^{84} - 343215000 q^{85} - 46237824 q^{86} + 34353810 q^{87} + 47480832 q^{88} + 375969762 q^{89} + 452712960 q^{90} - 155093598 q^{91} + 97042176 q^{92} + 285095622 q^{93} - 70995456 q^{94} - 966996432 q^{95} - 88080384 q^{96} - 484917300 q^{97} - 234233856 q^{98} + 26756370 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/54\mathbb{Z}\right)^\times\).

\(n\) \(29\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 7.27231 + 8.66680i 0.454519 + 0.541675i
\(3\) 13.3090 + 79.8991i 0.164309 + 0.986409i
\(4\) −22.2270 + 126.055i −0.0868241 + 0.492404i
\(5\) 259.000 + 711.596i 0.414399 + 1.13855i 0.954827 + 0.297162i \(0.0960403\pi\)
−0.540428 + 0.841391i \(0.681737\pi\)
\(6\) −595.682 + 696.398i −0.459632 + 0.537344i
\(7\) 690.888 + 3918.22i 0.287750 + 1.63191i 0.695293 + 0.718726i \(0.255274\pi\)
−0.407543 + 0.913186i \(0.633614\pi\)
\(8\) −1254.14 + 724.077i −0.306186 + 0.176777i
\(9\) −6206.74 + 2126.76i −0.946005 + 0.324152i
\(10\) −4283.73 + 7419.64i −0.428373 + 0.741964i
\(11\) 9363.33 25725.5i 0.639528 1.75709i −0.0136764 0.999906i \(-0.504353\pi\)
0.653204 0.757182i \(-0.273424\pi\)
\(12\) −10367.5 98.2389i −0.499978 0.00473760i
\(13\) 34595.6 + 29029.2i 1.21129 + 1.01639i 0.999234 + 0.0391341i \(0.0124600\pi\)
0.212055 + 0.977258i \(0.431984\pi\)
\(14\) −28934.1 + 34482.3i −0.753178 + 0.897603i
\(15\) −53408.8 + 30164.5i −1.05499 + 0.595842i
\(16\) −15395.9 5603.66i −0.234923 0.0855050i
\(17\) 61223.1 + 35347.2i 0.733026 + 0.423213i 0.819528 0.573039i \(-0.194236\pi\)
−0.0865020 + 0.996252i \(0.527569\pi\)
\(18\) −63569.6 38326.1i −0.605563 0.365094i
\(19\) −67908.2 117620.i −0.521084 0.902544i −0.999699 0.0245192i \(-0.992195\pi\)
0.478615 0.878025i \(-0.341139\pi\)
\(20\) −95457.2 + 16831.7i −0.596608 + 0.105198i
\(21\) −303867. + 107349.i −1.56245 + 0.551977i
\(22\) 291051. 105934.i 1.24245 0.452214i
\(23\) 176102. + 31051.5i 0.629293 + 0.110961i 0.479193 0.877710i \(-0.340929\pi\)
0.150100 + 0.988671i \(0.452041\pi\)
\(24\) −74544.5 90567.8i −0.224683 0.272979i
\(25\) −140051. + 117517.i −0.358532 + 0.300844i
\(26\) 510943.i 1.11809i
\(27\) −252532. 467608.i −0.475184 0.879887i
\(28\) −509269. −0.828543
\(29\) −577310. 688012.i −0.816239 0.972756i 0.183709 0.982981i \(-0.441190\pi\)
−0.999948 + 0.0102249i \(0.996745\pi\)
\(30\) −649835. 243518.i −0.802266 0.300640i
\(31\) 36610.6 207629.i 0.0396424 0.224823i −0.958550 0.284925i \(-0.908031\pi\)
0.998192 + 0.0601016i \(0.0191425\pi\)
\(32\) −63398.2 174185.i −0.0604612 0.166116i
\(33\) 2.18006e6 + 405739.i 1.83829 + 0.342130i
\(34\) 138886. + 787664.i 0.103931 + 0.589421i
\(35\) −2.60925e6 + 1.50645e6i −1.73877 + 1.00388i
\(36\) −130133. 829664.i −0.0774777 0.493961i
\(37\) 681814. 1.18094e6i 0.363797 0.630115i −0.624785 0.780797i \(-0.714814\pi\)
0.988582 + 0.150682i \(0.0481469\pi\)
\(38\) 525544. 1.44392e6i 0.252043 0.692482i
\(39\) −1.85897e6 + 3.15051e6i −0.803552 + 1.36183i
\(40\) −840072. 704904.i −0.328153 0.275353i
\(41\) −276951. + 330057.i −0.0980094 + 0.116803i −0.812820 0.582515i \(-0.802069\pi\)
0.714810 + 0.699318i \(0.246513\pi\)
\(42\) −3.14019e6 1.85288e6i −1.00916 0.595457i
\(43\) −1.34366e6 489054.i −0.393022 0.143048i 0.137947 0.990440i \(-0.455950\pi\)
−0.530969 + 0.847391i \(0.678172\pi\)
\(44\) 3.03472e6 + 1.75210e6i 0.809671 + 0.467464i
\(45\) −3.12094e6 3.86586e6i −0.761088 0.942748i
\(46\) 1.01155e6 + 1.75206e6i 0.225921 + 0.391306i
\(47\) 4.35717e6 768287.i 0.892921 0.157446i 0.291682 0.956515i \(-0.405785\pi\)
0.601239 + 0.799069i \(0.294674\pi\)
\(48\) 242822. 1.30470e6i 0.0457429 0.245780i
\(49\) −9.45798e6 + 3.44242e6i −1.64064 + 0.597145i
\(50\) −2.03700e6 359177.i −0.325919 0.0574684i
\(51\) −2.00939e6 + 5.36211e6i −0.297018 + 0.792601i
\(52\) −4.42824e6 + 3.71573e6i −0.605644 + 0.508196i
\(53\) 4.62428e6i 0.586058i 0.956104 + 0.293029i \(0.0946632\pi\)
−0.956104 + 0.293029i \(0.905337\pi\)
\(54\) 2.21617e6 5.58924e6i 0.260633 0.657321i
\(55\) 2.07313e7 2.26556
\(56\) −3.70356e6 4.41374e6i −0.376589 0.448801i
\(57\) 8.49398e6 6.99122e6i 0.804658 0.662298i
\(58\) 1.76448e6 1.00069e7i 0.155921 0.884273i
\(59\) 2.57470e6 + 7.07393e6i 0.212480 + 0.583784i 0.999448 0.0332090i \(-0.0105727\pi\)
−0.786968 + 0.616993i \(0.788350\pi\)
\(60\) −2.61528e6 7.40294e6i −0.201796 0.571214i
\(61\) 41633.1 + 236113.i 0.00300691 + 0.0170530i 0.986274 0.165115i \(-0.0527996\pi\)
−0.983267 + 0.182168i \(0.941688\pi\)
\(62\) 2.06572e6 1.19265e6i 0.139799 0.0807132i
\(63\) −1.26213e7 2.28500e7i −0.801200 1.45052i
\(64\) 1.04858e6 1.81619e6i 0.0625000 0.108253i
\(65\) −1.16968e7 + 3.21366e7i −0.655259 + 1.80031i
\(66\) 1.23376e7 + 2.18449e7i 0.650214 + 1.15126i
\(67\) 1.91288e7 + 1.60509e7i 0.949266 + 0.796529i 0.979174 0.203024i \(-0.0650770\pi\)
−0.0299080 + 0.999553i \(0.509521\pi\)
\(68\) −5.81650e6 + 6.93184e6i −0.272036 + 0.324200i
\(69\) −137242. + 1.44836e7i −0.00605466 + 0.638972i
\(70\) −3.20314e7 1.16585e7i −1.33408 0.485567i
\(71\) 3.71858e7 + 2.14693e7i 1.46334 + 0.844858i 0.999164 0.0408869i \(-0.0130183\pi\)
0.464173 + 0.885745i \(0.346352\pi\)
\(72\) 6.24417e6 7.16141e6i 0.232351 0.266483i
\(73\) −9.53031e6 1.65070e7i −0.335595 0.581268i 0.648004 0.761637i \(-0.275604\pi\)
−0.983599 + 0.180369i \(0.942271\pi\)
\(74\) 1.51933e7 2.67899e6i 0.506670 0.0893397i
\(75\) −1.12535e7 9.62595e6i −0.355665 0.304227i
\(76\) 1.63361e7 5.94585e6i 0.489659 0.178221i
\(77\) 1.07267e8 + 1.89141e7i 3.05144 + 0.538051i
\(78\) −4.08239e7 + 6.80015e6i −1.10290 + 0.183713i
\(79\) 2.53112e7 2.12386e7i 0.649837 0.545278i −0.257185 0.966362i \(-0.582795\pi\)
0.907021 + 0.421085i \(0.138350\pi\)
\(80\) 1.24070e7i 0.302906i
\(81\) 3.40005e7 2.64005e7i 0.789851 0.613299i
\(82\) −4.87462e6 −0.107816
\(83\) −4.49744e7 5.35984e7i −0.947661 1.12938i −0.991470 0.130339i \(-0.958394\pi\)
0.0438084 0.999040i \(-0.486051\pi\)
\(84\) −6.77788e6 4.06902e7i −0.136137 0.817283i
\(85\) −9.29613e6 + 5.27210e7i −0.178085 + 1.00997i
\(86\) −5.53301e6 1.52018e7i −0.101150 0.277908i
\(87\) 4.72881e7 5.52834e7i 0.825419 0.964978i
\(88\) 6.88436e6 + 3.90432e7i 0.114798 + 0.651050i
\(89\) 4.16944e7 2.40723e7i 0.664535 0.383670i −0.129468 0.991584i \(-0.541327\pi\)
0.794003 + 0.607914i \(0.207994\pi\)
\(90\) 1.08082e7 5.51623e7i 0.164734 0.840760i
\(91\) −8.98410e7 + 1.55609e8i −1.31011 + 2.26918i
\(92\) −7.82842e6 + 2.15084e7i −0.109275 + 0.300232i
\(93\) 1.70766e7 + 161812.i 0.228281 + 0.00216311i
\(94\) 3.83453e7 + 3.21755e7i 0.491135 + 0.412111i
\(95\) 6.61100e7 7.87868e7i 0.811657 0.967295i
\(96\) 1.30735e7 7.38369e6i 0.153924 0.0869338i
\(97\) −8.58164e7 3.12346e7i −0.969356 0.352817i −0.191663 0.981461i \(-0.561388\pi\)
−0.777693 + 0.628644i \(0.783610\pi\)
\(98\) −9.86162e7 5.69361e7i −1.06916 0.617282i
\(99\) −3.40367e6 + 1.79585e8i −0.0354329 + 1.86952i
\(100\) −1.17007e7 2.02663e7i −0.117007 0.202663i
\(101\) 3.25075e7 5.73196e6i 0.312391 0.0550830i −0.0152546 0.999884i \(-0.504856\pi\)
0.327646 + 0.944801i \(0.393745\pi\)
\(102\) −6.10852e7 + 2.15800e7i −0.564333 + 0.199365i
\(103\) −1.39247e8 + 5.06819e7i −1.23719 + 0.450302i −0.876056 0.482210i \(-0.839834\pi\)
−0.361139 + 0.932512i \(0.617612\pi\)
\(104\) −6.44071e7 1.13567e7i −0.550554 0.0970776i
\(105\) −1.55091e8 1.88427e8i −1.27593 1.55020i
\(106\) −4.00777e7 + 3.36292e7i −0.317453 + 0.266375i
\(107\) 8.97352e6i 0.0684585i −0.999414 0.0342293i \(-0.989102\pi\)
0.999414 0.0342293i \(-0.0108976\pi\)
\(108\) 6.45575e7 2.14395e7i 0.474517 0.157587i
\(109\) −2.09015e8 −1.48072 −0.740358 0.672213i \(-0.765344\pi\)
−0.740358 + 0.672213i \(0.765344\pi\)
\(110\) 1.50764e8 + 1.79674e8i 1.02974 + 1.22720i
\(111\) 1.03430e8 + 3.87592e7i 0.681326 + 0.255319i
\(112\) 1.13195e7 6.41961e7i 0.0719375 0.407978i
\(113\) 3.81999e7 + 1.04953e8i 0.234287 + 0.643699i 1.00000 0.000515893i \(0.000164214\pi\)
−0.765713 + 0.643183i \(0.777614\pi\)
\(114\) 1.22362e8 + 2.27733e7i 0.724483 + 0.134836i
\(115\) 2.35142e7 + 1.33356e8i 0.134443 + 0.762465i
\(116\) 9.95594e7 5.74807e7i 0.549858 0.317461i
\(117\) −2.76464e8 1.06600e8i −1.47535 0.568870i
\(118\) −4.25843e7 + 7.37582e7i −0.219645 + 0.380437i
\(119\) −9.61997e7 + 2.64306e8i −0.479718 + 1.31801i
\(120\) 4.51407e7 7.65026e7i 0.217692 0.368936i
\(121\) −4.09923e8 3.43966e8i −1.91232 1.60463i
\(122\) −1.74358e6 + 2.07791e6i −0.00787049 + 0.00937969i
\(123\) −3.00573e7 1.77354e7i −0.131319 0.0774855i
\(124\) 2.53590e7 + 9.22992e6i 0.107262 + 0.0390401i
\(125\) 1.36278e8 + 7.86801e7i 0.558194 + 0.322274i
\(126\) 1.06251e8 2.75559e8i 0.421551 1.09328i
\(127\) 1.48079e8 + 2.56481e8i 0.569219 + 0.985916i 0.996643 + 0.0818648i \(0.0260876\pi\)
−0.427425 + 0.904051i \(0.640579\pi\)
\(128\) 2.33661e7 4.12008e6i 0.0870455 0.0153485i
\(129\) 2.11921e7 1.13866e8i 0.0765270 0.411184i
\(130\) −3.63585e8 + 1.32334e8i −1.27301 + 0.463338i
\(131\) −2.46424e8 4.34512e7i −0.836755 0.147542i −0.261178 0.965291i \(-0.584111\pi\)
−0.575576 + 0.817748i \(0.695222\pi\)
\(132\) −9.96019e7 + 2.65790e8i −0.328074 + 0.875475i
\(133\) 4.13946e8 3.47342e8i 1.32293 1.11007i
\(134\) 2.82513e8i 0.876231i
\(135\) 2.67342e8 3.00811e8i 0.804882 0.905646i
\(136\) −1.02376e8 −0.299257
\(137\) −2.25349e7 2.68561e7i −0.0639697 0.0762361i 0.733111 0.680109i \(-0.238068\pi\)
−0.797080 + 0.603873i \(0.793623\pi\)
\(138\) −1.26525e8 + 1.04140e8i −0.348867 + 0.287145i
\(139\) 1.05492e7 5.98276e7i 0.0282593 0.160266i −0.967412 0.253206i \(-0.918515\pi\)
0.995672 + 0.0929391i \(0.0296262\pi\)
\(140\) −1.31901e8 3.62394e8i −0.343348 0.943341i
\(141\) 1.19375e8 + 3.37909e8i 0.302021 + 0.854915i
\(142\) 8.43572e7 + 4.78414e8i 0.207476 + 1.17666i
\(143\) 1.07072e9 6.18181e8i 2.56054 1.47833i
\(144\) 1.07476e8 + 2.03699e6i 0.249955 + 0.00473739i
\(145\) 3.40063e8 5.89006e8i 0.769285 1.33244i
\(146\) 7.37554e7 2.02641e8i 0.162324 0.445981i
\(147\) −4.00923e8 7.09869e8i −0.858602 1.52023i
\(148\) 1.33709e8 + 1.12195e8i 0.278685 + 0.233844i
\(149\) −1.62102e8 + 1.93186e8i −0.328885 + 0.391950i −0.904995 0.425422i \(-0.860126\pi\)
0.576110 + 0.817372i \(0.304570\pi\)
\(150\) 1.58749e6 1.67534e8i 0.00313579 0.330932i
\(151\) 8.95936e6 + 3.26094e6i 0.0172333 + 0.00627242i 0.350622 0.936517i \(-0.385970\pi\)
−0.333389 + 0.942789i \(0.608192\pi\)
\(152\) 1.70333e8 + 9.83415e7i 0.319097 + 0.184231i
\(153\) −4.55171e8 8.91837e7i −0.830632 0.162750i
\(154\) 6.16156e8 + 1.06721e9i 1.09549 + 1.89744i
\(155\) 1.57230e8 2.77239e7i 0.272401 0.0480316i
\(156\) −3.55819e8 3.04360e8i −0.600802 0.513912i
\(157\) −2.31169e7 + 8.41386e6i −0.0380479 + 0.0138483i −0.360974 0.932576i \(-0.617556\pi\)
0.322926 + 0.946424i \(0.395333\pi\)
\(158\) 3.68142e8 + 6.49133e7i 0.590727 + 0.104161i
\(159\) −3.69476e8 + 6.15447e7i −0.578093 + 0.0962947i
\(160\) 1.07529e8 9.02277e7i 0.164077 0.137677i
\(161\) 7.11459e8i 1.05888i
\(162\) 4.76070e8 + 1.02683e8i 0.691211 + 0.149086i
\(163\) −2.40146e8 −0.340193 −0.170096 0.985427i \(-0.554408\pi\)
−0.170096 + 0.985427i \(0.554408\pi\)
\(164\) −3.54497e7 4.22474e7i −0.0490047 0.0584015i
\(165\) 2.75913e8 + 1.65641e9i 0.372252 + 2.23477i
\(166\) 1.37459e8 7.79569e8i 0.181026 1.02665i
\(167\) −6.77182e7 1.86054e8i −0.0870642 0.239207i 0.888518 0.458842i \(-0.151736\pi\)
−0.975582 + 0.219635i \(0.929513\pi\)
\(168\) 3.03363e8 3.54654e8i 0.380825 0.445213i
\(169\) 2.12514e8 + 1.20523e9i 0.260520 + 1.47748i
\(170\) −5.24527e8 + 3.02836e8i −0.628018 + 0.362586i
\(171\) 6.71639e8 + 5.85615e8i 0.785509 + 0.684901i
\(172\) 9.15134e7 1.58506e8i 0.104561 0.181105i
\(173\) −9.89243e7 + 2.71792e8i −0.110438 + 0.303426i −0.982584 0.185820i \(-0.940506\pi\)
0.872146 + 0.489246i \(0.162728\pi\)
\(174\) 8.23024e8 + 7.79867e6i 0.897874 + 0.00850792i
\(175\) −5.57218e8 4.67561e8i −0.594118 0.498524i
\(176\) −2.88314e8 + 3.43599e8i −0.300480 + 0.358098i
\(177\) −5.30934e8 + 2.99863e8i −0.540938 + 0.305513i
\(178\) 5.11845e8 + 1.86296e8i 0.509868 + 0.185577i
\(179\) −1.36643e9 7.88911e8i −1.33099 0.768450i −0.345543 0.938403i \(-0.612305\pi\)
−0.985452 + 0.169953i \(0.945638\pi\)
\(180\) 5.56681e8 3.07485e8i 0.530294 0.292909i
\(181\) −9.73828e8 1.68672e9i −0.907335 1.57155i −0.817751 0.575572i \(-0.804780\pi\)
−0.0895840 0.995979i \(-0.528554\pi\)
\(182\) −2.00199e9 + 3.53004e8i −1.82463 + 0.321732i
\(183\) −1.83111e7 + 6.46889e6i −0.0163272 + 0.00576800i
\(184\) −2.43340e8 + 8.85685e7i −0.212296 + 0.0772694i
\(185\) 1.01694e9 + 1.79314e8i 0.868176 + 0.153083i
\(186\) 1.22784e8 + 1.49176e8i 0.102587 + 0.124637i
\(187\) 1.48258e9 1.24403e9i 1.21241 1.01734i
\(188\) 5.66321e8i 0.453348i
\(189\) 1.65772e9 1.31254e9i 1.29916 1.02865i
\(190\) 1.16360e9 0.892874
\(191\) 1.16924e9 + 1.39344e9i 0.878554 + 1.04702i 0.998528 + 0.0542428i \(0.0172745\pi\)
−0.119974 + 0.992777i \(0.538281\pi\)
\(192\) 1.59067e8 + 5.96086e7i 0.117051 + 0.0438636i
\(193\) −2.93982e8 + 1.66725e9i −0.211881 + 1.20163i 0.674358 + 0.738405i \(0.264421\pi\)
−0.886238 + 0.463230i \(0.846690\pi\)
\(194\) −3.53379e8 9.70901e8i −0.249479 0.685438i
\(195\) −2.72336e9 5.06855e8i −1.88351 0.350546i
\(196\) −2.23714e8 1.26874e9i −0.151589 0.859706i
\(197\) 3.03111e8 1.75001e8i 0.201250 0.116192i −0.395988 0.918256i \(-0.629598\pi\)
0.597238 + 0.802064i \(0.296265\pi\)
\(198\) −1.58118e9 + 1.27650e9i −1.02878 + 0.830539i
\(199\) 8.75007e8 1.51556e9i 0.557955 0.966407i −0.439712 0.898139i \(-0.644919\pi\)
0.997667 0.0682679i \(-0.0217473\pi\)
\(200\) 9.05524e7 2.48791e8i 0.0565953 0.155494i
\(201\) −1.02787e9 + 1.74199e9i −0.629730 + 1.06724i
\(202\) 2.86083e8 + 2.40052e8i 0.171825 + 0.144178i
\(203\) 2.29692e9 2.73737e9i 1.35258 1.61194i
\(204\) −6.31260e8 3.72477e8i −0.364492 0.215070i
\(205\) −3.06598e8 1.11592e8i −0.173601 0.0631858i
\(206\) −1.45190e9 8.38255e8i −0.806246 0.465487i
\(207\) −1.15906e9 + 1.81798e8i −0.631282 + 0.0990165i
\(208\) −3.69962e8 6.40793e8i −0.197653 0.342345i
\(209\) −3.66169e9 + 6.45655e8i −1.91910 + 0.338389i
\(210\) 5.05195e8 2.71444e9i 0.259765 1.39574i
\(211\) 1.90614e9 6.93780e8i 0.961670 0.350019i 0.186982 0.982363i \(-0.440129\pi\)
0.774688 + 0.632344i \(0.217907\pi\)
\(212\) −5.82915e8 1.02784e8i −0.288577 0.0508839i
\(213\) −1.22047e9 + 3.25685e9i −0.592936 + 1.58227i
\(214\) 7.77717e7 6.52582e7i 0.0370823 0.0311157i
\(215\) 1.08281e9i 0.506755i
\(216\) 6.55294e8 + 4.03592e8i 0.301038 + 0.185408i
\(217\) 8.38830e8 0.378299
\(218\) −1.52002e9 1.81149e9i −0.673014 0.802067i
\(219\) 1.19205e9 9.81156e8i 0.518227 0.426542i
\(220\) −4.60793e8 + 2.61329e9i −0.196705 + 1.11557i
\(221\) 1.09195e9 + 3.00011e9i 0.457756 + 1.25767i
\(222\) 4.16257e8 + 1.17828e9i 0.171376 + 0.485105i
\(223\) −4.04863e8 2.29609e9i −0.163715 0.928474i −0.950379 0.311093i \(-0.899305\pi\)
0.786664 0.617381i \(-0.211806\pi\)
\(224\) 6.38694e8 3.68750e8i 0.253689 0.146467i
\(225\) 6.19332e8 1.02725e9i 0.241654 0.400818i
\(226\) −6.31809e8 + 1.09432e9i −0.242188 + 0.419481i
\(227\) −1.20215e9 + 3.30288e9i −0.452747 + 1.24391i 0.478036 + 0.878340i \(0.341349\pi\)
−0.930783 + 0.365572i \(0.880873\pi\)
\(228\) 6.92485e8 + 1.22610e9i 0.256254 + 0.453720i
\(229\) −2.62620e9 2.20364e9i −0.954961 0.801307i 0.0251650 0.999683i \(-0.491989\pi\)
−0.980126 + 0.198376i \(0.936433\pi\)
\(230\) −9.84765e8 + 1.17360e9i −0.351901 + 0.419380i
\(231\) −8.35968e7 + 8.82229e9i −0.0293590 + 3.09837i
\(232\) 1.22220e9 + 4.44845e8i 0.421882 + 0.153552i
\(233\) −7.01816e8 4.05194e8i −0.238122 0.137480i 0.376191 0.926542i \(-0.377234\pi\)
−0.614313 + 0.789062i \(0.710567\pi\)
\(234\) −1.08665e9 3.17129e9i −0.362433 1.05772i
\(235\) 1.67521e9 + 2.90156e9i 0.549287 + 0.951392i
\(236\) −9.48934e8 + 1.67323e8i −0.305906 + 0.0539395i
\(237\) 2.03381e9 + 1.73968e9i 0.644641 + 0.551411i
\(238\) −2.99029e9 + 1.08838e9i −0.931976 + 0.339212i
\(239\) −2.10136e9 3.70526e8i −0.644034 0.113561i −0.157914 0.987453i \(-0.550477\pi\)
−0.486120 + 0.873892i \(0.661588\pi\)
\(240\) 9.91310e8 1.65125e8i 0.298789 0.0497702i
\(241\) −3.94998e9 + 3.31442e9i −1.17092 + 0.982517i −0.999996 0.00276785i \(-0.999119\pi\)
−0.170922 + 0.985285i \(0.554675\pi\)
\(242\) 6.05414e9i 1.76519i
\(243\) 2.56189e9 + 2.36524e9i 0.734743 + 0.678345i
\(244\) −3.06887e7 −0.00865804
\(245\) −4.89923e9 5.83867e9i −1.35976 1.62050i
\(246\) −6.48765e7 3.89478e8i −0.0177152 0.106351i
\(247\) 1.06510e9 6.04047e9i 0.286155 1.62287i
\(248\) 1.04425e8 + 2.86904e8i 0.0276056 + 0.0758456i
\(249\) 3.68390e9 4.30676e9i 0.958320 1.12035i
\(250\) 3.09151e8 + 1.75328e9i 0.0791425 + 0.448840i
\(251\) 3.05265e9 1.76245e9i 0.769099 0.444040i −0.0634541 0.997985i \(-0.520212\pi\)
0.832553 + 0.553945i \(0.186878\pi\)
\(252\) 3.16090e9 1.08309e9i 0.783806 0.268574i
\(253\) 2.44772e9 4.23957e9i 0.597419 1.03476i
\(254\) −1.14599e9 + 3.14858e9i −0.275325 + 0.756450i
\(255\) −4.33608e9 4.10871e7i −1.02550 0.00971728i
\(256\) 2.05633e8 + 1.72547e8i 0.0478778 + 0.0401742i
\(257\) 1.09956e9 1.31041e9i 0.252051 0.300382i −0.625152 0.780503i \(-0.714963\pi\)
0.877202 + 0.480121i \(0.159407\pi\)
\(258\) 1.14097e9 6.44404e8i 0.257511 0.145439i
\(259\) 5.09823e9 + 1.85560e9i 1.13297 + 0.412369i
\(260\) −3.79101e9 2.18874e9i −0.829587 0.478962i
\(261\) 5.04645e9 + 3.04251e9i 1.08749 + 0.655646i
\(262\) −1.41549e9 2.45170e9i −0.300401 0.520310i
\(263\) 7.47973e9 1.31888e9i 1.56337 0.275665i 0.676066 0.736841i \(-0.263683\pi\)
0.887309 + 0.461176i \(0.152572\pi\)
\(264\) −3.02789e9 + 1.06968e9i −0.623339 + 0.220211i
\(265\) −3.29062e9 + 1.19769e9i −0.667258 + 0.242862i
\(266\) 6.02069e9 + 1.06161e9i 1.20259 + 0.212050i
\(267\) 2.47827e9 + 3.01097e9i 0.487644 + 0.592463i
\(268\) −2.44848e9 + 2.05452e9i −0.474633 + 0.398264i
\(269\) 3.87504e8i 0.0740061i 0.999315 + 0.0370031i \(0.0117811\pi\)
−0.999315 + 0.0370031i \(0.988219\pi\)
\(270\) 4.55126e9 + 1.29409e8i 0.856401 + 0.0243506i
\(271\) 4.21375e9 0.781253 0.390626 0.920549i \(-0.372258\pi\)
0.390626 + 0.920549i \(0.372258\pi\)
\(272\) −7.44513e8 8.87275e8i −0.136018 0.162100i
\(273\) −1.36287e10 5.10721e9i −2.45361 0.919460i
\(274\) 6.88754e7 3.90612e8i 0.0122197 0.0693016i
\(275\) 1.71184e9 + 4.70325e9i 0.299318 + 0.822370i
\(276\) −1.82269e9 3.39228e8i −0.314106 0.0584595i
\(277\) 1.31687e9 + 7.46834e9i 0.223678 + 1.26854i 0.865196 + 0.501434i \(0.167194\pi\)
−0.641518 + 0.767108i \(0.721695\pi\)
\(278\) 5.95232e8 3.43657e8i 0.0996568 0.0575369i
\(279\) 2.14345e8 + 1.36656e9i 0.0353750 + 0.225534i
\(280\) 2.18157e9 3.77860e9i 0.354926 0.614750i
\(281\) −1.20232e8 + 3.30334e8i −0.0192838 + 0.0529819i −0.948961 0.315393i \(-0.897864\pi\)
0.929677 + 0.368375i \(0.120086\pi\)
\(282\) −2.06046e9 + 3.49198e9i −0.325812 + 0.552173i
\(283\) −2.55318e9 2.14237e9i −0.398048 0.334002i 0.421691 0.906740i \(-0.361437\pi\)
−0.819739 + 0.572738i \(0.805881\pi\)
\(284\) −3.53284e9 + 4.21028e9i −0.543064 + 0.647199i
\(285\) 7.17486e9 + 4.23355e9i 1.08751 + 0.641690i
\(286\) 1.31443e10 + 4.78412e9i 1.96459 + 0.715053i
\(287\) −1.48458e9 8.57123e8i −0.218814 0.126333i
\(288\) 7.63946e8 + 9.46288e8i 0.111043 + 0.137548i
\(289\) −9.89035e8 1.71306e9i −0.141782 0.245573i
\(290\) 7.57785e9 1.33618e9i 1.07141 0.188918i
\(291\) 1.35348e9 7.27236e9i 0.188747 1.01415i
\(292\) 2.29262e9 8.34447e8i 0.315356 0.114780i
\(293\) 5.94827e9 + 1.04884e9i 0.807087 + 0.142311i 0.561943 0.827176i \(-0.310054\pi\)
0.245143 + 0.969487i \(0.421165\pi\)
\(294\) 3.23666e9 8.63711e9i 0.433219 1.15606i
\(295\) −4.36693e9 + 3.66429e9i −0.576618 + 0.483840i
\(296\) 1.97474e9i 0.257243i
\(297\) −1.43940e10 + 2.11816e9i −1.84993 + 0.272228i
\(298\) −2.85317e9 −0.361794
\(299\) 5.19095e9 + 6.18634e9i 0.649475 + 0.774014i
\(300\) 1.46353e9 1.20460e9i 0.180683 0.148717i
\(301\) 9.87899e8 5.60265e9i 0.120350 0.682539i
\(302\) 3.68933e7 + 1.01364e8i 0.00443527 + 0.0121858i
\(303\) 8.90623e8 + 2.52104e9i 0.105663 + 0.299095i
\(304\) 3.86405e8 + 2.19141e9i 0.0452426 + 0.256584i
\(305\) −1.57234e8 + 9.07792e7i −0.0181697 + 0.0104903i
\(306\) −2.53720e9 4.59345e9i −0.289381 0.523906i
\(307\) 6.71056e9 1.16230e10i 0.755450 1.30848i −0.189701 0.981842i \(-0.560752\pi\)
0.945150 0.326635i \(-0.105915\pi\)
\(308\) −4.76845e9 + 1.31012e10i −0.529877 + 1.45582i
\(309\) −5.90269e9 1.04512e10i −0.647464 1.14639i
\(310\) 1.38370e9 + 1.16106e9i 0.149829 + 0.125722i
\(311\) 4.96899e9 5.92181e9i 0.531161 0.633013i −0.432021 0.901864i \(-0.642199\pi\)
0.963182 + 0.268850i \(0.0866437\pi\)
\(312\) 5.01944e7 5.29721e9i 0.00529709 0.559022i
\(313\) −5.02812e9 1.83009e9i −0.523875 0.190675i 0.0665262 0.997785i \(-0.478808\pi\)
−0.590402 + 0.807110i \(0.701031\pi\)
\(314\) −2.41035e8 1.39161e8i −0.0247948 0.0143153i
\(315\) 1.29911e10 1.48994e10i 1.31948 1.51330i
\(316\) 2.11465e9 + 3.66268e9i 0.212075 + 0.367325i
\(317\) −7.67536e9 + 1.35337e9i −0.760085 + 0.134023i −0.540239 0.841511i \(-0.681666\pi\)
−0.219845 + 0.975535i \(0.570555\pi\)
\(318\) −3.22034e9 2.75460e9i −0.314915 0.269371i
\(319\) −2.31050e10 + 8.40954e9i −2.23123 + 0.812100i
\(320\) 1.56397e9 + 2.75770e8i 0.149152 + 0.0262995i
\(321\) 7.16976e8 1.19429e8i 0.0675281 0.0112484i
\(322\) −6.16607e9 + 5.17395e9i −0.573569 + 0.481281i
\(323\) 9.60145e9i 0.882118i
\(324\) 2.57220e9 + 4.87275e9i 0.233413 + 0.442175i
\(325\) −8.25659e9 −0.740060
\(326\) −1.74642e9 2.08130e9i −0.154624 0.184274i
\(327\) −2.78179e9 1.67001e10i −0.243295 1.46059i
\(328\) 1.08348e8 6.14472e8i 0.00936107 0.0530893i
\(329\) 6.02063e9 + 1.65416e10i 0.513876 + 1.41186i
\(330\) −1.23493e10 + 1.44372e10i −1.04132 + 1.21738i
\(331\) −1.50050e8 8.50974e8i −0.0125004 0.0708931i 0.977919 0.208982i \(-0.0670151\pi\)
−0.990420 + 0.138089i \(0.955904\pi\)
\(332\) 7.75601e9 4.47794e9i 0.638390 0.368575i
\(333\) −1.72027e9 + 8.77982e9i −0.139901 + 0.714017i
\(334\) 1.12003e9 1.93994e9i 0.0900001 0.155885i
\(335\) −6.46744e9 + 1.77691e10i −0.513515 + 1.41087i
\(336\) 5.27987e9 + 5.00300e7i 0.414253 + 0.00392531i
\(337\) 1.16447e10 + 9.77108e9i 0.902837 + 0.757570i 0.970743 0.240121i \(-0.0771873\pi\)
−0.0679058 + 0.997692i \(0.521632\pi\)
\(338\) −8.89999e9 + 1.06066e10i −0.681903 + 0.812661i
\(339\) −7.87728e9 + 4.44897e9i −0.596455 + 0.336868i
\(340\) −6.43914e9 2.34365e9i −0.481850 0.175379i
\(341\) −4.99857e9 2.88592e9i −0.369682 0.213436i
\(342\) −1.91041e8 + 1.00797e10i −0.0139644 + 0.736792i
\(343\) −8.55448e9 1.48168e10i −0.618041 1.07048i
\(344\) 2.03925e9 3.59575e8i 0.145625 0.0256777i
\(345\) −1.03420e10 + 3.65360e9i −0.730012 + 0.257896i
\(346\) −3.07498e9 + 1.11920e9i −0.214554 + 0.0780915i
\(347\) 1.53130e10 + 2.70010e9i 1.05619 + 0.186235i 0.674666 0.738123i \(-0.264288\pi\)
0.381526 + 0.924358i \(0.375399\pi\)
\(348\) 5.91770e9 + 7.18970e9i 0.403493 + 0.490223i
\(349\) −6.94029e8 + 5.82359e8i −0.0467817 + 0.0392545i −0.665879 0.746060i \(-0.731943\pi\)
0.619097 + 0.785314i \(0.287499\pi\)
\(350\) 8.22955e9i 0.548408i
\(351\) 4.83776e9 2.35080e10i 0.318725 1.54877i
\(352\) −5.07462e9 −0.330547
\(353\) −3.31218e9 3.94730e9i −0.213312 0.254215i 0.648770 0.760985i \(-0.275284\pi\)
−0.862082 + 0.506770i \(0.830839\pi\)
\(354\) −6.45997e9 2.42080e9i −0.411356 0.154151i
\(355\) −5.64631e9 + 3.20218e10i −0.355510 + 2.01619i
\(356\) 2.10770e9 + 5.79086e9i 0.131223 + 0.360531i
\(357\) −2.23982e10 4.16861e9i −1.37892 0.256636i
\(358\) −3.09980e9 1.75798e10i −0.188713 1.07024i
\(359\) −1.12512e10 + 6.49588e9i −0.677362 + 0.391075i −0.798860 0.601516i \(-0.794563\pi\)
0.121498 + 0.992592i \(0.461230\pi\)
\(360\) 6.71327e9 + 2.58852e9i 0.399691 + 0.154114i
\(361\) −7.31260e8 + 1.26658e9i −0.0430569 + 0.0745768i
\(362\) 7.53648e9 2.07063e10i 0.438869 1.20578i
\(363\) 2.20269e10 3.73303e10i 1.26861 2.14998i
\(364\) −1.76185e10 1.47837e10i −1.00361 0.842125i
\(365\) 9.27795e9 1.10570e10i 0.522734 0.622970i
\(366\) −1.89229e8 1.11655e8i −0.0105454 0.00622236i
\(367\) 6.26160e9 + 2.27903e9i 0.345160 + 0.125628i 0.508783 0.860895i \(-0.330096\pi\)
−0.163622 + 0.986523i \(0.552318\pi\)
\(368\) −2.53725e9 1.46488e9i −0.138348 0.0798750i
\(369\) 1.01701e9 2.63759e9i 0.0548554 0.142266i
\(370\) 5.84142e9 + 1.01176e10i 0.311682 + 0.539849i
\(371\) −1.81189e10 + 3.19486e9i −0.956395 + 0.168638i
\(372\) −3.99959e8 + 2.14900e9i −0.0208854 + 0.112219i
\(373\) −6.95687e9 + 2.53210e9i −0.359401 + 0.130811i −0.515408 0.856945i \(-0.672360\pi\)
0.156008 + 0.987756i \(0.450138\pi\)
\(374\) 2.15635e10 + 3.80223e9i 1.10213 + 0.194335i
\(375\) −4.47274e9 + 1.19356e10i −0.226177 + 0.603560i
\(376\) −4.90820e9 + 4.11847e9i −0.245567 + 0.206055i
\(377\) 4.05610e10i 2.00791i
\(378\) 2.34310e10 + 4.82192e9i 1.14769 + 0.236185i
\(379\) 7.30494e9 0.354046 0.177023 0.984207i \(-0.443353\pi\)
0.177023 + 0.984207i \(0.443353\pi\)
\(380\) 8.46208e9 + 1.00847e10i 0.405829 + 0.483648i
\(381\) −1.85218e10 + 1.52449e10i −0.878988 + 0.723477i
\(382\) −3.57363e9 + 2.02671e10i −0.167825 + 0.951782i
\(383\) 1.40699e9 + 3.86569e9i 0.0653879 + 0.179652i 0.968083 0.250628i \(-0.0806371\pi\)
−0.902696 + 0.430280i \(0.858415\pi\)
\(384\) 6.40171e8 + 1.81210e9i 0.0294422 + 0.0833406i
\(385\) 1.43230e10 + 8.12297e10i 0.651915 + 3.69719i
\(386\) −1.65877e10 + 9.57691e9i −0.747200 + 0.431396i
\(387\) 9.37987e9 + 1.77776e8i 0.418170 + 0.00792556i
\(388\) 5.84473e9 1.01234e10i 0.257892 0.446682i
\(389\) −6.69729e8 + 1.84006e9i −0.0292483 + 0.0803590i −0.953457 0.301528i \(-0.902503\pi\)
0.924209 + 0.381887i \(0.124726\pi\)
\(390\) −1.54123e10 2.72888e10i −0.666208 1.17958i
\(391\) 9.68392e9 + 8.12577e9i 0.414328 + 0.347662i
\(392\) 9.36904e9 1.11656e10i 0.396781 0.472865i
\(393\) 1.92046e8 2.02674e10i 0.00805073 0.849625i
\(394\) 3.72101e9 + 1.35434e9i 0.154410 + 0.0562008i
\(395\) 2.16689e10 + 1.25105e10i 0.890120 + 0.513911i
\(396\) −2.25620e10 4.42069e9i −0.917482 0.179767i
\(397\) −1.52217e10 2.63647e10i −0.612774 1.06136i −0.990771 0.135548i \(-0.956720\pi\)
0.377997 0.925807i \(-0.376613\pi\)
\(398\) 1.94984e10 3.43809e9i 0.777080 0.137020i
\(399\) 3.32615e10 + 2.84511e10i 1.31235 + 1.12256i
\(400\) 2.81475e9 1.02448e9i 0.109951 0.0400189i
\(401\) 4.16969e10 + 7.35229e9i 1.61260 + 0.284345i 0.906003 0.423271i \(-0.139118\pi\)
0.706597 + 0.707616i \(0.250229\pi\)
\(402\) −2.25725e10 + 3.75997e9i −0.864323 + 0.143973i
\(403\) 7.29386e9 6.12028e9i 0.276527 0.232034i
\(404\) 4.22516e9i 0.158605i
\(405\) 2.75926e10 + 1.73569e10i 1.02559 + 0.645137i
\(406\) 4.04282e10 1.48792
\(407\) −2.39962e10 2.85975e10i −0.874509 1.04220i
\(408\) −1.36253e9 8.17978e9i −0.0491706 0.295189i
\(409\) 8.12121e9 4.60577e10i 0.290220 1.64592i −0.395800 0.918337i \(-0.629533\pi\)
0.686020 0.727583i \(-0.259356\pi\)
\(410\) −1.26252e9 3.46876e9i −0.0446791 0.122755i
\(411\) 1.84586e9 2.15795e9i 0.0646892 0.0756265i
\(412\) −3.29368e9 1.86794e10i −0.114312 0.648296i
\(413\) −2.59384e10 + 1.49755e10i −0.891544 + 0.514733i
\(414\) −1.00046e10 8.72323e9i −0.340565 0.296945i
\(415\) 2.64920e10 4.58856e10i 0.893147 1.54698i
\(416\) 2.86315e9 7.86643e9i 0.0956028 0.262666i
\(417\) 4.92057e9 + 4.66255e7i 0.162731 + 0.00154198i
\(418\) −3.22247e10 2.70398e10i −1.05556 0.885723i
\(419\) −7.71757e9 + 9.19745e9i −0.250394 + 0.298408i −0.876571 0.481273i \(-0.840175\pi\)
0.626176 + 0.779681i \(0.284619\pi\)
\(420\) 2.71995e10 1.53618e10i 0.874104 0.493681i
\(421\) −4.10507e10 1.49412e10i −1.30675 0.475618i −0.407560 0.913178i \(-0.633620\pi\)
−0.899189 + 0.437561i \(0.855843\pi\)
\(422\) 1.98749e10 + 1.14748e10i 0.626694 + 0.361822i
\(423\) −2.54099e10 + 1.40352e10i −0.793671 + 0.438387i
\(424\) −3.34834e9 5.79949e9i −0.103601 0.179443i
\(425\) −1.27283e10 + 2.24434e9i −0.390134 + 0.0687912i
\(426\) −3.71021e10 + 1.31073e10i −1.12658 + 0.397992i
\(427\) −8.96380e8 + 3.26256e8i −0.0269638 + 0.00981401i
\(428\) 1.13116e9 + 1.99454e8i 0.0337092 + 0.00594385i
\(429\) 6.36424e10 + 7.73223e10i 1.87896 + 2.28284i
\(430\) 9.38450e9 7.87453e9i 0.274497 0.230330i
\(431\) 1.69920e10i 0.492421i 0.969216 + 0.246210i \(0.0791854\pi\)
−0.969216 + 0.246210i \(0.920815\pi\)
\(432\) 1.26765e9 + 8.61436e9i 0.0363969 + 0.247336i
\(433\) 9.23080e9 0.262596 0.131298 0.991343i \(-0.458086\pi\)
0.131298 + 0.991343i \(0.458086\pi\)
\(434\) 6.10023e9 + 7.26997e9i 0.171944 + 0.204915i
\(435\) 5.15870e10 + 1.93316e10i 1.44073 + 0.539897i
\(436\) 4.64577e9 2.63475e10i 0.128562 0.729110i
\(437\) −8.30646e9 2.28218e10i −0.227767 0.625784i
\(438\) 1.71725e10 + 3.19603e9i 0.466591 + 0.0868389i
\(439\) 7.12588e9 + 4.04128e10i 0.191858 + 1.08808i 0.916822 + 0.399295i \(0.130745\pi\)
−0.724964 + 0.688786i \(0.758144\pi\)
\(440\) −2.59999e10 + 1.50110e10i −0.693683 + 0.400498i
\(441\) 5.13820e10 4.14811e10i 1.35849 1.09672i
\(442\) −1.80604e10 + 3.12815e10i −0.473192 + 0.819593i
\(443\) −6.89863e9 + 1.89538e10i −0.179122 + 0.492133i −0.996464 0.0840194i \(-0.973224\pi\)
0.817342 + 0.576152i \(0.195446\pi\)
\(444\) −7.18475e9 + 1.21764e10i −0.184876 + 0.313320i
\(445\) 2.79286e10 + 2.34349e10i 0.712211 + 0.597616i
\(446\) 1.69555e10 2.02068e10i 0.428520 0.510690i
\(447\) −1.75928e10 1.03807e10i −0.440662 0.260014i
\(448\) 7.84067e9 + 2.85377e9i 0.194644 + 0.0708446i
\(449\) 2.03388e10 + 1.17426e10i 0.500425 + 0.288921i 0.728889 0.684632i \(-0.240037\pi\)
−0.228464 + 0.973552i \(0.573370\pi\)
\(450\) 1.34070e10 2.10288e9i 0.326950 0.0512820i
\(451\) 5.89772e9 + 1.02151e10i 0.142554 + 0.246910i
\(452\) −1.40790e10 + 2.48251e9i −0.337301 + 0.0594753i
\(453\) −1.41306e8 + 7.59245e8i −0.00335558 + 0.0180297i
\(454\) −3.73679e10 + 1.36008e10i −0.879579 + 0.320141i
\(455\) −1.34000e11 2.36277e10i −3.12650 0.551286i
\(456\) −5.59044e9 + 1.49183e10i −0.129296 + 0.345031i
\(457\) 1.91216e10 1.60449e10i 0.438388 0.367851i −0.396718 0.917941i \(-0.629851\pi\)
0.835106 + 0.550090i \(0.185406\pi\)
\(458\) 3.87863e10i 0.881489i
\(459\) 1.06782e9 3.75547e10i 0.0240573 0.846084i
\(460\) −1.73328e10 −0.387114
\(461\) −2.55334e10 3.04296e10i −0.565335 0.673740i 0.405332 0.914170i \(-0.367156\pi\)
−0.970667 + 0.240430i \(0.922712\pi\)
\(462\) −7.70690e10 + 6.34339e10i −1.69166 + 1.39237i
\(463\) −1.03305e10 + 5.85871e10i −0.224800 + 1.27491i 0.638266 + 0.769816i \(0.279652\pi\)
−0.863067 + 0.505090i \(0.831459\pi\)
\(464\) 5.03284e9 + 1.38276e10i 0.108578 + 0.298315i
\(465\) 4.30769e9 + 1.21936e10i 0.0921368 + 0.260807i
\(466\) −1.59209e9 9.02919e9i −0.0337617 0.191472i
\(467\) 7.19900e10 4.15634e10i 1.51358 0.873864i 0.513703 0.857968i \(-0.328273\pi\)
0.999874 0.0158961i \(-0.00506010\pi\)
\(468\) 1.95824e10 3.24804e10i 0.408210 0.677077i
\(469\) −4.96753e10 + 8.60401e10i −1.02671 + 1.77832i
\(470\) −1.29645e10 + 3.56198e10i −0.265684 + 0.729961i
\(471\) −9.79924e8 1.73504e9i −0.0199117 0.0352554i
\(472\) −8.35110e9 7.00740e9i −0.168258 0.141185i
\(473\) −2.51623e10 + 2.99873e10i −0.502697 + 0.599091i
\(474\) −2.86904e8 + 3.02781e10i −0.00568360 + 0.599813i
\(475\) 2.33330e10 + 8.49253e9i 0.458350 + 0.166826i
\(476\) −3.11790e10 1.80012e10i −0.607344 0.350650i
\(477\) −9.83474e9 2.87017e10i −0.189972 0.554414i
\(478\) −1.20705e10 2.09066e10i −0.231213 0.400473i
\(479\) 2.69613e10 4.75400e9i 0.512151 0.0903061i 0.0884007 0.996085i \(-0.471824\pi\)
0.423751 + 0.905779i \(0.360713\pi\)
\(480\) 8.64022e9 + 7.39064e9i 0.162765 + 0.139225i
\(481\) 5.78694e10 2.10627e10i 1.08111 0.393491i
\(482\) −5.74509e10 1.01301e10i −1.06441 0.187684i
\(483\) −5.68449e10 + 9.46884e9i −1.04449 + 0.173983i
\(484\) 5.24701e10 4.40276e10i 0.956159 0.802313i
\(485\) 6.91563e10i 1.24987i
\(486\) −1.86824e9 + 3.94042e10i −0.0334879 + 0.706313i
\(487\) 8.82325e10 1.56860 0.784301 0.620380i \(-0.213022\pi\)
0.784301 + 0.620380i \(0.213022\pi\)
\(488\) −2.23178e8 2.65973e8i −0.00393525 0.00468984i
\(489\) −3.19611e9 1.91875e10i −0.0558967 0.335569i
\(490\) 1.49739e10 8.49213e10i 0.259747 1.47310i
\(491\) −1.93839e10 5.32568e10i −0.333515 0.916324i −0.987190 0.159549i \(-0.948996\pi\)
0.653675 0.756775i \(-0.273226\pi\)
\(492\) 2.90372e9 3.39467e9i 0.0495559 0.0579346i
\(493\) −1.10255e10 6.25285e10i −0.186642 1.05850i
\(494\) 6.00973e10 3.46972e10i 1.00913 0.582621i
\(495\) −1.28674e11 + 4.40905e10i −2.14323 + 0.734385i
\(496\) −1.72714e9 + 2.99149e9i −0.0285364 + 0.0494266i
\(497\) −5.84300e10 + 1.60535e11i −0.957658 + 2.63114i
\(498\) 6.41163e10 + 6.07542e8i 1.04244 + 0.00987777i
\(499\) −5.03332e10 4.22346e10i −0.811807 0.681187i 0.139231 0.990260i \(-0.455537\pi\)
−0.951038 + 0.309073i \(0.899981\pi\)
\(500\) −1.29471e10 + 1.54297e10i −0.207153 + 0.246876i
\(501\) 1.39643e10 7.88683e9i 0.221650 0.125185i
\(502\) 3.74746e10 + 1.36396e10i 0.590096 + 0.214777i
\(503\) −5.89562e10 3.40384e10i −0.920996 0.531737i −0.0370430 0.999314i \(-0.511794\pi\)
−0.883953 + 0.467577i \(0.845127\pi\)
\(504\) 3.23740e10 + 1.95183e10i 0.501735 + 0.302496i
\(505\) 1.24983e10 + 2.16477e10i 0.192170 + 0.332848i
\(506\) 5.45441e10 9.61759e9i 0.832042 0.146711i
\(507\) −9.34681e10 + 3.30201e10i −1.41459 + 0.499742i
\(508\) −3.56221e10 + 1.29654e10i −0.534891 + 0.194684i
\(509\) 9.35812e10 + 1.65009e10i 1.39417 + 0.245831i 0.819748 0.572725i \(-0.194114\pi\)
0.574427 + 0.818556i \(0.305225\pi\)
\(510\) −3.11772e10 3.78788e10i −0.460847 0.559906i
\(511\) 5.80936e10 4.87463e10i 0.852011 0.714922i
\(512\) 3.03700e9i 0.0441942i
\(513\) −3.78512e10 + 6.14573e10i −0.546526 + 0.887369i
\(514\) 1.93534e10 0.277271
\(515\) −7.21300e10 8.59612e10i −1.02539 1.22201i
\(516\) 1.38824e10 + 5.20228e9i 0.195824 + 0.0733829i
\(517\) 2.10330e10 1.19284e11i 0.294401 1.66963i
\(518\) 2.09938e10 + 5.76799e10i 0.291589 + 0.801134i
\(519\) −2.30325e10 4.28667e9i −0.317448 0.0590814i
\(520\) −8.60003e9 4.87732e10i −0.117621 0.667064i
\(521\) −3.52822e10 + 2.03702e10i −0.478856 + 0.276468i −0.719940 0.694037i \(-0.755831\pi\)
0.241083 + 0.970504i \(0.422497\pi\)
\(522\) 1.03305e10 + 6.58627e10i 0.139137 + 0.887069i
\(523\) −7.67595e9 + 1.32951e10i −0.102595 + 0.177699i −0.912753 0.408512i \(-0.866048\pi\)
0.810158 + 0.586211i \(0.199381\pi\)
\(524\) 1.09545e10 3.00973e10i 0.145301 0.399211i
\(525\) 2.99417e10 5.07440e10i 0.394130 0.667955i
\(526\) 6.58254e10 + 5.52341e10i 0.859905 + 0.721546i
\(527\) 9.58051e9 1.14176e10i 0.124207 0.148024i
\(528\) −3.12905e10 1.84631e10i −0.402602 0.237557i
\(529\) −4.35406e10 1.58475e10i −0.555996 0.202366i
\(530\) −3.43105e10 1.98092e10i −0.434834 0.251052i
\(531\) −3.10250e10 3.84302e10i −0.390242 0.483387i
\(532\) 3.45835e10 + 5.99004e10i 0.431741 + 0.747797i
\(533\) −1.91626e10 + 3.37888e9i −0.237435 + 0.0418663i
\(534\) −8.07274e9 + 4.33754e10i −0.0992787 + 0.533431i
\(535\) 6.38552e9 2.32414e9i 0.0779437 0.0283692i
\(536\) −3.56123e10 6.27940e9i −0.431460 0.0760780i
\(537\) 4.48474e10 1.19676e11i 0.539312 1.43917i
\(538\) −3.35843e9 + 2.81805e9i −0.0400873 + 0.0336372i
\(539\) 2.75544e11i 3.26465i
\(540\) 3.19766e10 + 4.03860e10i 0.376061 + 0.474959i
\(541\) −1.06346e11 −1.24146 −0.620731 0.784024i \(-0.713164\pi\)
−0.620731 + 0.784024i \(0.713164\pi\)
\(542\) 3.06437e10 + 3.65197e10i 0.355095 + 0.423185i
\(543\) 1.21807e11 1.00257e11i 1.40111 1.15322i
\(544\) 2.27552e9 1.29051e10i 0.0259827 0.147355i
\(545\) −5.41349e10 1.48734e11i −0.613608 1.68587i
\(546\) −5.48492e10 1.55259e11i −0.617163 1.74697i
\(547\) 3.90397e9 + 2.21405e10i 0.0436071 + 0.247308i 0.998817 0.0486198i \(-0.0154823\pi\)
−0.955210 + 0.295928i \(0.904371\pi\)
\(548\) 3.88624e9 2.24372e9i 0.0430931 0.0248798i
\(549\) −7.60562e8 1.37695e9i −0.00837231 0.0151575i
\(550\) −2.83131e10 + 4.90397e10i −0.309411 + 0.535916i
\(551\) −4.17201e10 + 1.14625e11i −0.452626 + 1.24358i
\(552\) −1.03152e10 1.82639e10i −0.111101 0.196715i
\(553\) 1.00705e11 + 8.45013e10i 1.07684 + 0.903573i
\(554\) −5.51499e10 + 6.57251e10i −0.585472 + 0.697738i
\(555\) −7.92532e8 + 8.36390e10i −0.00835305 + 0.881530i
\(556\) 7.30712e9 + 2.65957e9i 0.0764622 + 0.0278300i
\(557\) 5.07538e10 + 2.93027e10i 0.527287 + 0.304430i 0.739911 0.672705i \(-0.234868\pi\)
−0.212624 + 0.977134i \(0.568201\pi\)
\(558\) −1.02849e10 + 1.17957e10i −0.106088 + 0.121671i
\(559\) −3.22881e10 5.59245e10i −0.330670 0.572737i
\(560\) 4.86134e10 8.57186e9i 0.494315 0.0871611i
\(561\) 1.19129e11 + 1.01900e11i 1.20272 + 1.02878i
\(562\) −3.73730e9 + 1.36027e9i −0.0374639 + 0.0136357i
\(563\) 7.91866e10 + 1.39627e10i 0.788167 + 0.138975i 0.553222 0.833034i \(-0.313398\pi\)
0.234945 + 0.972009i \(0.424509\pi\)
\(564\) −4.52486e10 + 7.53719e9i −0.447186 + 0.0744892i
\(565\) −6.47906e10 + 5.43658e10i −0.635797 + 0.533497i
\(566\) 3.77079e10i 0.367423i
\(567\) 1.26934e11 + 1.14982e11i 1.22813 + 1.11249i
\(568\) −6.21816e10 −0.597405
\(569\) −7.28104e10 8.67720e10i −0.694615 0.827810i 0.297291 0.954787i \(-0.403917\pi\)
−0.991906 + 0.126977i \(0.959473\pi\)
\(570\) 1.54864e10 + 9.29708e10i 0.146707 + 0.880739i
\(571\) 1.41498e10 8.02473e10i 0.133108 0.754894i −0.843050 0.537835i \(-0.819242\pi\)
0.976158 0.217059i \(-0.0696464\pi\)
\(572\) 5.41262e10 + 1.48710e11i 0.505619 + 1.38918i
\(573\) −9.57733e10 + 1.11966e11i −0.888435 + 1.03865i
\(574\) −3.36781e9 1.90998e10i −0.0310242 0.175947i
\(575\) −2.83124e10 + 1.63462e10i −0.259003 + 0.149536i
\(576\) −2.64564e9 + 1.35027e10i −0.0240348 + 0.122668i
\(577\) 2.92202e10 5.06108e10i 0.263621 0.456605i −0.703581 0.710615i \(-0.748417\pi\)
0.967201 + 0.254011i \(0.0817499\pi\)
\(578\) 7.65417e9 2.10297e10i 0.0685783 0.188417i
\(579\) −1.37125e11 1.29934e9i −1.22012 0.0115614i
\(580\) 6.66889e10 + 5.59586e10i 0.589307 + 0.494487i
\(581\) 1.78938e11 2.13250e11i 1.57036 1.87148i
\(582\) 7.28710e10 4.11565e10i 0.635131 0.358712i
\(583\) 1.18962e11 + 4.32986e10i 1.02976 + 0.374800i
\(584\) 2.39047e10 + 1.38014e10i 0.205509 + 0.118651i
\(585\) 4.25191e9 2.24340e11i 0.0363045 1.91550i
\(586\) 3.41676e10 + 5.91800e10i 0.289750 + 0.501862i
\(587\) 1.62864e11 2.87173e10i 1.37174 0.241875i 0.561261 0.827639i \(-0.310316\pi\)
0.810482 + 0.585764i \(0.199205\pi\)
\(588\) 9.83941e10 3.47603e10i 0.823114 0.290787i
\(589\) −2.69076e10 + 9.79355e9i −0.223570 + 0.0813728i
\(590\) −6.35153e10 1.11995e10i −0.524168 0.0924250i
\(591\) 1.80165e10 + 2.18892e10i 0.147680 + 0.179424i
\(592\) −1.71147e10 + 1.43610e10i −0.139342 + 0.116922i
\(593\) 1.19808e11i 0.968871i 0.874827 + 0.484435i \(0.160975\pi\)
−0.874827 + 0.484435i \(0.839025\pi\)
\(594\) −1.23035e11 1.09346e11i −0.988289 0.878329i
\(595\) −2.12995e11 −1.69942
\(596\) −2.07491e10 2.47278e10i −0.164443 0.195975i
\(597\) 1.32737e11 + 4.97417e10i 1.04495 + 0.391583i
\(598\) −1.58655e10 + 8.99779e10i −0.124065 + 0.703609i
\(599\) −5.15916e10 1.41747e11i −0.400749 1.10105i −0.961916 0.273346i \(-0.911870\pi\)
0.561167 0.827702i \(-0.310352\pi\)
\(600\) 2.10833e10 + 3.92389e9i 0.162680 + 0.0302770i
\(601\) −3.99487e10 2.26560e11i −0.306199 1.73654i −0.617805 0.786331i \(-0.711978\pi\)
0.311606 0.950212i \(-0.399133\pi\)
\(602\) 5.57414e10 3.21823e10i 0.424416 0.245037i
\(603\) −1.52864e11 5.89417e10i −1.15621 0.445814i
\(604\) −6.10198e8 + 1.05689e9i −0.00458483 + 0.00794116i
\(605\) 1.38595e11 3.80786e11i 1.03449 2.84223i
\(606\) −1.53725e10 + 2.60526e10i −0.113986 + 0.193179i
\(607\) 1.37214e11 + 1.15136e11i 1.01075 + 0.848118i 0.988437 0.151633i \(-0.0484533\pi\)
0.0223104 + 0.999751i \(0.492898\pi\)
\(608\) −1.61825e10 + 1.92855e10i −0.118421 + 0.141129i
\(609\) 2.49283e11 + 1.47091e11i 1.81227 + 1.06934i
\(610\) −1.93022e9 7.02543e8i −0.0139408 0.00507404i
\(611\) 1.73042e11 + 9.99057e10i 1.24161 + 0.716845i
\(612\) 2.13592e10 5.53944e10i 0.152257 0.394876i
\(613\) 7.10534e10 + 1.23068e11i 0.503203 + 0.871573i 0.999993 + 0.00370203i \(0.00117840\pi\)
−0.496791 + 0.867870i \(0.665488\pi\)
\(614\) 1.49536e11 2.63672e10i 1.05214 0.185520i
\(615\) 4.83562e9 2.59821e10i 0.0338027 0.181624i
\(616\) −1.48223e11 + 5.39489e10i −1.02942 + 0.374679i
\(617\) −1.57554e11 2.77810e10i −1.08715 0.191693i −0.398773 0.917050i \(-0.630564\pi\)
−0.688373 + 0.725356i \(0.741675\pi\)
\(618\) 4.76524e10 1.27162e11i 0.326686 0.871772i
\(619\) −2.23858e11 + 1.87839e11i −1.52479 + 1.27945i −0.699731 + 0.714407i \(0.746697\pi\)
−0.825060 + 0.565045i \(0.808859\pi\)
\(620\) 2.04359e10i 0.138302i
\(621\) −2.99514e10 9.01881e10i −0.201396 0.606433i
\(622\) 8.74592e10 0.584311
\(623\) 1.23127e11 + 1.46737e11i 0.817335 + 0.974062i
\(624\) 4.62749e10 3.80880e10i 0.305216 0.251217i
\(625\) −3.30937e10 + 1.87684e11i −0.216883 + 1.23000i
\(626\) −2.07050e10 5.68867e10i −0.134828 0.370436i
\(627\) −1.00321e11 2.83973e11i −0.649115 1.83741i
\(628\) −5.46794e8 3.10103e9i −0.00351549 0.0199373i
\(629\) 8.34855e10 4.82004e10i 0.533345 0.307927i
\(630\) 2.23605e11 + 4.23798e9i 1.41945 + 0.0269028i
\(631\) −1.20664e10 + 2.08996e10i −0.0761134 + 0.131832i −0.901570 0.432633i \(-0.857584\pi\)
0.825457 + 0.564466i \(0.190918\pi\)
\(632\) −1.63653e10 + 4.49634e10i −0.102579 + 0.281833i
\(633\) 8.08013e10 + 1.43066e11i 0.503273 + 0.891088i
\(634\) −6.75471e10 5.66787e10i −0.418070 0.350803i
\(635\) −1.44158e11 + 1.71801e11i −0.886633 + 1.05665i
\(636\) 4.54284e8 4.79424e10i 0.00277651 0.293016i
\(637\) −4.27135e11 1.55465e11i −2.59423 0.944221i
\(638\) −2.40911e11 1.39090e11i −1.45403 0.839484i
\(639\) −2.76463e11 5.41687e10i −1.65819 0.324896i
\(640\) 8.98364e9 + 1.55601e10i 0.0535467 + 0.0927456i
\(641\) 2.40551e10 4.24156e9i 0.142487 0.0251242i −0.101950 0.994790i \(-0.532508\pi\)
0.244437 + 0.969665i \(0.421397\pi\)
\(642\) 6.24914e9 + 5.34537e9i 0.0367858 + 0.0314657i
\(643\) 2.62668e10 9.56034e9i 0.153661 0.0559280i −0.264045 0.964510i \(-0.585057\pi\)
0.417705 + 0.908582i \(0.362834\pi\)
\(644\) −8.96832e10 1.58136e10i −0.521396 0.0919362i
\(645\) 8.65156e10 1.44112e10i 0.499868 0.0832645i
\(646\) 8.32138e10 6.98247e10i 0.477821 0.400940i
\(647\) 2.96303e11i 1.69091i 0.534050 + 0.845453i \(0.320669\pi\)
−0.534050 + 0.845453i \(0.679331\pi\)
\(648\) −2.35253e10 + 5.77289e10i −0.133425 + 0.327411i
\(649\) 2.06088e11 1.16165
\(650\) −6.00445e10 7.15582e10i −0.336372 0.400872i
\(651\) 1.11640e10 + 6.70218e10i 0.0621579 + 0.373157i
\(652\) 5.33772e9 3.02717e10i 0.0295369 0.167512i
\(653\) 1.49626e10 + 4.11093e10i 0.0822911 + 0.226093i 0.974014 0.226490i \(-0.0727249\pi\)
−0.891722 + 0.452583i \(0.850503\pi\)
\(654\) 1.24507e11 1.45558e11i 0.680584 0.795654i
\(655\) −3.29041e10 1.86608e11i −0.178766 1.01383i
\(656\) 6.11345e9 3.52960e9i 0.0330119 0.0190594i
\(657\) 9.42586e10 + 8.21859e10i 0.505894 + 0.441099i
\(658\) −9.95785e10 + 1.72475e11i −0.531205 + 0.920073i
\(659\) 5.33339e10 1.46534e11i 0.282789 0.776955i −0.714238 0.699903i \(-0.753227\pi\)
0.997027 0.0770529i \(-0.0245510\pi\)
\(660\) −2.14932e11 2.03662e9i −1.13273 0.0107333i
\(661\) 2.30056e10 + 1.93040e10i 0.120511 + 0.101121i 0.701052 0.713110i \(-0.252714\pi\)
−0.580540 + 0.814231i \(0.697159\pi\)
\(662\) 6.28401e9 7.48900e9i 0.0327194 0.0389934i
\(663\) −2.25173e11 + 1.27175e11i −1.16537 + 0.658182i
\(664\) 9.52135e10 + 3.46549e10i 0.489809 + 0.178276i
\(665\) 3.54379e11 + 2.04601e11i 1.81210 + 1.04621i
\(666\) −8.86033e10 + 4.89403e10i −0.450353 + 0.248754i
\(667\) −8.03016e10 1.39086e11i −0.405715 0.702719i
\(668\) 2.49583e10 4.40082e9i 0.125346 0.0221018i
\(669\) 1.78067e11 6.29070e10i 0.888955 0.314047i
\(670\) −2.01035e11 + 7.31707e10i −0.997636 + 0.363110i
\(671\) 6.46396e9 + 1.13977e9i 0.0318866 + 0.00562247i
\(672\) 3.79632e10 + 4.61234e10i 0.186160 + 0.226175i
\(673\) −2.06300e11 + 1.73106e11i −1.00563 + 0.843824i −0.987755 0.156016i \(-0.950135\pi\)
−0.0178762 + 0.999840i \(0.505690\pi\)
\(674\) 1.71981e11i 0.833375i
\(675\) 9.03194e10 + 3.58123e10i 0.435077 + 0.172511i
\(676\) −1.56649e11 −0.750136
\(677\) 1.92860e11 + 2.29842e11i 0.918097 + 1.09415i 0.995272 + 0.0971278i \(0.0309656\pi\)
−0.0771750 + 0.997018i \(0.524590\pi\)
\(678\) −9.58443e10 3.59165e10i −0.453574 0.169971i
\(679\) 6.30946e10 3.57827e11i 0.296833 1.68343i
\(680\) −2.65154e10 7.28505e10i −0.124012 0.340720i
\(681\) −2.79897e11 5.20926e10i −1.30140 0.242208i
\(682\) −1.13394e10 6.43090e10i −0.0524147 0.297258i
\(683\) −2.06039e11 + 1.18956e11i −0.946816 + 0.546645i −0.892090 0.451857i \(-0.850762\pi\)
−0.0547257 + 0.998501i \(0.517428\pi\)
\(684\) −8.87484e10 + 7.16473e10i −0.405449 + 0.327322i
\(685\) 1.32741e10 2.29915e10i 0.0602898 0.104425i
\(686\) 6.62034e10 1.81892e11i 0.298940 0.821330i
\(687\) 1.41117e11 2.39159e11i 0.633508 1.07364i
\(688\) 1.79465e10 + 1.50589e10i 0.0800986 + 0.0672107i
\(689\) −1.34239e11 + 1.59980e11i −0.595665 + 0.709885i
\(690\) −1.06876e11 6.30624e10i −0.471501 0.278211i
\(691\) 2.13268e11 + 7.76232e10i 0.935435 + 0.340470i 0.764362 0.644788i \(-0.223054\pi\)
0.171073 + 0.985258i \(0.445276\pi\)
\(692\) −3.20621e10 1.85111e10i −0.139819 0.0807248i
\(693\) −7.06006e11 + 1.10737e11i −3.06109 + 0.480131i
\(694\) 8.79598e10 + 1.52351e11i 0.379181 + 0.656760i
\(695\) 4.53053e10 7.98855e9i 0.194182 0.0342396i
\(696\) −1.92764e10 + 1.03573e11i −0.0821464 + 0.441378i
\(697\) −2.86224e10 + 1.04177e10i −0.121276 + 0.0441409i
\(698\) −1.00944e10 1.77991e9i −0.0425264 0.00749854i
\(699\) 2.30341e10 6.14672e10i 0.0964857 0.257475i
\(700\) 7.13239e10 5.98478e10i 0.297059 0.249262i
\(701\) 1.15577e11i 0.478629i −0.970942 0.239315i \(-0.923077\pi\)
0.970942 0.239315i \(-0.0769227\pi\)
\(702\) 2.38921e11 1.29029e11i 0.983797 0.531300i
\(703\) −1.85203e11 −0.758275
\(704\) −3.69042e10 4.39807e10i −0.150240 0.179049i
\(705\) −2.09536e11 + 1.72465e11i −0.848209 + 0.698144i
\(706\) 1.01233e10 5.74121e10i 0.0407477 0.231092i
\(707\) 4.49181e10 + 1.23412e11i 0.179781 + 0.493945i
\(708\) −2.59983e10 7.35921e10i −0.103470 0.292886i
\(709\) 8.14991e10 + 4.62205e11i 0.322529 + 1.82915i 0.526502 + 0.850174i \(0.323503\pi\)
−0.203974 + 0.978976i \(0.565386\pi\)
\(710\) −3.18588e11 + 1.83937e11i −1.25371 + 0.723829i
\(711\) −1.11931e11 + 1.85653e11i −0.437996 + 0.726481i
\(712\) −3.48604e10 + 6.03800e10i −0.135648 + 0.234949i
\(713\) 1.28944e10 3.54270e10i 0.0498933 0.137081i
\(714\) −1.26758e11 2.24436e11i −0.487734 0.863574i
\(715\) 7.17211e11 + 6.01812e11i 2.74424 + 2.30269i
\(716\) 1.29818e11 1.54711e11i 0.493950 0.588667i
\(717\) 1.63765e9 1.72828e11i 0.00619649 0.653940i
\(718\) −1.38121e11 5.02718e10i −0.519710 0.189159i
\(719\) −3.22363e11 1.86116e11i −1.20623 0.696417i −0.244296 0.969701i \(-0.578557\pi\)
−0.961933 + 0.273284i \(0.911890\pi\)
\(720\) 2.63868e10 + 7.70071e10i 0.0981875 + 0.286550i
\(721\) −2.94787e11 5.10586e11i −1.09086 1.88942i
\(722\) −1.62951e10 + 2.87327e9i −0.0599666 + 0.0105737i
\(723\) −3.17390e11 2.71488e11i −1.16156 0.993567i
\(724\) 2.34265e11 8.52656e10i 0.852616 0.310327i
\(725\) 1.61706e11 + 2.85132e10i 0.585295 + 0.103203i
\(726\) 4.83721e11 8.05748e10i 1.74120 0.290037i
\(727\) −3.27480e11 + 2.74789e11i −1.17232 + 0.983696i −0.999999 0.00134421i \(-0.999572\pi\)
−0.172324 + 0.985040i \(0.555128\pi\)
\(728\) 2.60207e11i 0.926390i
\(729\) −1.54885e11 + 2.36172e11i −0.548401 + 0.836215i
\(730\) 1.63301e11 0.575040
\(731\) −6.49766e10 7.74361e10i −0.227555 0.271190i
\(732\) −4.08437e8 2.45200e9i −0.00142259 0.00854037i
\(733\) 6.66787e10 3.78153e11i 0.230978 1.30994i −0.619942 0.784647i \(-0.712844\pi\)
0.850920 0.525295i \(-0.176045\pi\)
\(734\) 2.57843e10 + 7.08419e10i 0.0888324 + 0.244065i
\(735\) 4.01301e11 4.69151e11i 1.37506 1.60755i
\(736\) −5.75583e9 3.26429e10i −0.0196154 0.111244i
\(737\) 5.92028e11 3.41807e11i 2.00665 1.15854i
\(738\) 3.02555e10 1.03671e10i 0.101995 0.0349489i
\(739\) −1.50585e11 + 2.60821e11i −0.504898 + 0.874509i 0.495086 + 0.868844i \(0.335137\pi\)
−0.999984 + 0.00566522i \(0.998197\pi\)
\(740\) −4.52069e10 + 1.24205e11i −0.150757 + 0.414202i
\(741\) 4.96804e11 + 4.70753e9i 1.64783 + 0.0156142i
\(742\) −1.59456e11 1.33799e11i −0.526047 0.441406i
\(743\) 2.11421e11 2.51962e11i 0.693734 0.826760i −0.298068 0.954545i \(-0.596342\pi\)
0.991802 + 0.127785i \(0.0407868\pi\)
\(744\) −2.15336e10 + 1.21619e10i −0.0702790 + 0.0396925i
\(745\) −1.79455e11 6.53162e10i −0.582546 0.212029i
\(746\) −7.25377e10 4.18797e10i −0.234212 0.135222i
\(747\) 3.93135e11 + 2.37022e11i 1.26258 + 0.761212i
\(748\) 1.23863e11 + 2.14538e11i 0.395673 + 0.685326i
\(749\) 3.51602e10 6.19969e9i 0.111718 0.0196989i
\(750\) −1.35971e11 + 4.80353e10i −0.429736 + 0.151815i
\(751\) 4.40691e11 1.60398e11i 1.38540 0.504243i 0.461587 0.887095i \(-0.347280\pi\)
0.923810 + 0.382852i \(0.125058\pi\)
\(752\) −7.13879e10 1.25876e10i −0.223230 0.0393615i
\(753\) 1.81446e11 + 2.20448e11i 0.564375 + 0.685686i
\(754\) 3.51534e11 2.94972e11i 1.08763 0.912633i
\(755\) 7.22002e9i 0.0222203i
\(756\) 1.28607e11