Properties

Label 43.11.d.a.7.1
Level 43
Weight 11
Character 43.7
Analytic conductor 27.320
Analytic rank 0
Dimension 72
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 11 \)
Character orbit: \([\chi]\) \(=\) 43.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(27.3203618650\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.1
Character \(\chi\) \(=\) 43.7
Dual form 43.11.d.a.37.36

$q$-expansion

\(f(q)\) \(=\) \(q-61.9282i q^{2} +(176.385 - 101.836i) q^{3} -2811.11 q^{4} +(-2896.62 + 1672.36i) q^{5} +(-6306.51 - 10923.2i) q^{6} +(14965.1 + 8640.13i) q^{7} +110672. i q^{8} +(-8783.43 + 15213.3i) q^{9} +O(q^{10})\) \(q-61.9282i q^{2} +(176.385 - 101.836i) q^{3} -2811.11 q^{4} +(-2896.62 + 1672.36i) q^{5} +(-6306.51 - 10923.2i) q^{6} +(14965.1 + 8640.13i) q^{7} +110672. i q^{8} +(-8783.43 + 15213.3i) q^{9} +(103567. + 179382. i) q^{10} -79392.2 q^{11} +(-495837. + 286271. i) q^{12} +(352040. - 609751. i) q^{13} +(535068. - 926765. i) q^{14} +(-340613. + 589959. i) q^{15} +3.97518e6 q^{16} +(-706396. + 1.22351e6i) q^{17} +(942136. + 543942. i) q^{18} +(96399.9 - 55656.5i) q^{19} +(8.14270e6 - 4.70119e6i) q^{20} +3.51950e6 q^{21} +4.91662e6i q^{22} +(-1.01478e6 - 1.75765e6i) q^{23} +(1.12704e7 + 1.95209e7i) q^{24} +(710784. - 1.23111e6i) q^{25} +(-3.77608e7 - 2.18012e7i) q^{26} +1.56045e7i q^{27} +(-4.20686e7 - 2.42883e7i) q^{28} +(2.90999e7 + 1.68008e7i) q^{29} +(3.65351e7 + 2.10936e7i) q^{30} +(2.36169e7 + 4.09057e7i) q^{31} -1.32847e8i q^{32} +(-1.40036e7 + 8.08497e6i) q^{33} +(7.57701e7 + 4.37459e7i) q^{34} -5.77978e7 q^{35} +(2.46912e7 - 4.27663e7i) q^{36} +(9.18615e6 - 5.30363e6i) q^{37} +(-3.44671e6 - 5.96987e6i) q^{38} -1.43401e8i q^{39} +(-1.85085e8 - 3.20576e8i) q^{40} +1.42402e7 q^{41} -2.17956e8i q^{42} +(-1.30563e8 + 6.75626e7i) q^{43} +2.23180e8 q^{44} -5.87563e7i q^{45} +(-1.08848e8 + 6.28436e7i) q^{46} +4.75916e7 q^{47} +(7.01161e8 - 4.04815e8i) q^{48} +(8.06617e6 + 1.39710e7i) q^{49} +(-7.62407e7 - 4.40176e7i) q^{50} +2.87746e8i q^{51} +(-9.89622e8 + 1.71408e9i) q^{52} +(-1.96679e7 - 3.40658e7i) q^{53} +9.66358e8 q^{54} +(2.29969e8 - 1.32773e8i) q^{55} +(-9.56225e8 + 1.65623e9i) q^{56} +(1.13356e7 - 1.96339e7i) q^{57} +(1.04045e9 - 1.80211e9i) q^{58} -9.82948e8 q^{59} +(9.57500e8 - 1.65844e9i) q^{60} +(1.25557e9 + 7.24904e8i) q^{61} +(2.53322e9 - 1.46255e9i) q^{62} +(-2.62891e8 + 1.51780e8i) q^{63} -4.15641e9 q^{64} +2.35495e9i q^{65} +(5.00688e8 + 8.67217e8i) q^{66} +(-1.82503e8 - 3.16105e8i) q^{67} +(1.98576e9 - 3.43943e9i) q^{68} +(-3.57984e8 - 2.06682e8i) q^{69} +3.57931e9i q^{70} +(1.93702e9 + 1.11834e9i) q^{71} +(-1.68370e9 - 9.72083e8i) q^{72} +(8.39834e8 + 4.84879e8i) q^{73} +(-3.28444e8 - 5.68882e8i) q^{74} -2.89533e8i q^{75} +(-2.70990e8 + 1.56456e8i) q^{76} +(-1.18812e9 - 6.85959e8i) q^{77} -8.88058e9 q^{78} +(9.60434e8 - 1.66352e9i) q^{79} +(-1.15146e10 + 6.64794e9i) q^{80} +(1.07044e9 + 1.85406e9i) q^{81} -8.81868e8i q^{82} +(2.87485e9 + 4.97938e9i) q^{83} -9.89369e9 q^{84} -4.72540e9i q^{85} +(4.18403e9 + 8.08556e9i) q^{86} +6.84371e9 q^{87} -8.78653e9i q^{88} +(-4.48416e9 + 2.58893e9i) q^{89} -3.63868e9 q^{90} +(1.05367e10 - 6.08334e9i) q^{91} +(2.85266e9 + 4.94095e9i) q^{92} +(8.33133e9 + 4.81009e9i) q^{93} -2.94726e9i q^{94} +(-1.86156e8 + 3.22431e8i) q^{95} +(-1.35286e10 - 2.34322e10i) q^{96} -6.89907e9 q^{97} +(8.65200e8 - 4.99524e8i) q^{98} +(6.97336e8 - 1.20782e9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} + O(q^{10}) \) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} - 127061q^{10} + 521524q^{11} - 606618q^{12} + 796742q^{13} - 865794q^{14} - 433513q^{15} + 22423366q^{16} - 1768471q^{17} - 11957547q^{18} - 122844q^{19} + 419841q^{20} - 26778860q^{21} + 16414886q^{23} + 8684578q^{24} + 70516989q^{25} + 3069q^{26} - 97624092q^{28} + 118701393q^{29} - 1455921q^{30} + 10824883q^{31} + 315141798q^{33} + 47529561q^{34} - 333788722q^{35} - 597728908q^{36} - 169881246q^{37} - 88887452q^{38} + 570788831q^{40} - 543049070q^{41} + 408159179q^{43} - 754130886q^{44} + 270181896q^{46} + 348527658q^{47} + 175039227q^{48} + 781091547q^{49} - 663244398q^{50} - 1853993086q^{52} + 219922736q^{53} + 3104867360q^{54} + 2154394182q^{55} + 2010912675q^{56} + 349107351q^{57} + 2023447828q^{58} + 2247595680q^{59} - 2906780465q^{60} + 508093974q^{61} - 3451752063q^{62} + 158921973q^{63} - 13473879716q^{64} + 1277847051q^{66} - 2812410281q^{67} + 13614613118q^{68} - 5113655829q^{69} + 2418191196q^{71} + 26243329290q^{72} - 6537901611q^{73} - 2632816966q^{74} - 10170994206q^{76} - 16936463889q^{77} - 24146069696q^{78} + 5397136602q^{79} + 7242149661q^{80} - 15745886176q^{81} + 4998656042q^{83} + 44726677232q^{84} - 27688564866q^{86} + 37895576172q^{87} - 12151857357q^{89} - 96024912764q^{90} + 36633770214q^{91} - 31643971023q^{92} + 59768940153q^{93} - 19802964089q^{95} - 3289705262q^{96} - 40329658574q^{97} + 19243888221q^{98} + 18506221111q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 61.9282i 1.93526i −0.252378 0.967629i \(-0.581212\pi\)
0.252378 0.967629i \(-0.418788\pi\)
\(3\) 176.385 101.836i 0.725863 0.419077i −0.0910435 0.995847i \(-0.529020\pi\)
0.816907 + 0.576769i \(0.195687\pi\)
\(4\) −2811.11 −2.74522
\(5\) −2896.62 + 1672.36i −0.926918 + 0.535156i −0.885835 0.464000i \(-0.846414\pi\)
−0.0410823 + 0.999156i \(0.513081\pi\)
\(6\) −6306.51 10923.2i −0.811023 1.40473i
\(7\) 14965.1 + 8640.13i 0.890412 + 0.514079i 0.874077 0.485787i \(-0.161467\pi\)
0.0163346 + 0.999867i \(0.494800\pi\)
\(8\) 110672.i 3.37746i
\(9\) −8783.43 + 15213.3i −0.148748 + 0.257639i
\(10\) 103567. + 179382.i 1.03567 + 1.79382i
\(11\) −79392.2 −0.492963 −0.246482 0.969147i \(-0.579274\pi\)
−0.246482 + 0.969147i \(0.579274\pi\)
\(12\) −495837. + 286271.i −1.99266 + 1.15046i
\(13\) 352040. 609751.i 0.948146 1.64224i 0.198818 0.980036i \(-0.436290\pi\)
0.749327 0.662200i \(-0.230377\pi\)
\(14\) 535068. 926765.i 0.994876 1.72318i
\(15\) −340613. + 589959.i −0.448544 + 0.776901i
\(16\) 3.97518e6 3.79102
\(17\) −706396. + 1.22351e6i −0.497512 + 0.861717i −0.999996 0.00287014i \(-0.999086\pi\)
0.502484 + 0.864587i \(0.332420\pi\)
\(18\) 942136. + 543942.i 0.498598 + 0.287866i
\(19\) 96399.9 55656.5i 0.0389322 0.0224775i −0.480408 0.877045i \(-0.659511\pi\)
0.519340 + 0.854568i \(0.326178\pi\)
\(20\) 8.14270e6 4.70119e6i 2.54460 1.46912i
\(21\) 3.51950e6 0.861756
\(22\) 4.91662e6i 0.954011i
\(23\) −1.01478e6 1.75765e6i −0.157664 0.273082i 0.776362 0.630288i \(-0.217063\pi\)
−0.934026 + 0.357205i \(0.883730\pi\)
\(24\) 1.12704e7 + 1.95209e7i 1.41542 + 2.45157i
\(25\) 710784. 1.23111e6i 0.0727843 0.126066i
\(26\) −3.77608e7 2.18012e7i −3.17815 1.83491i
\(27\) 1.56045e7i 1.08750i
\(28\) −4.20686e7 2.42883e7i −2.44438 1.41126i
\(29\) 2.90999e7 + 1.68008e7i 1.41874 + 0.819107i 0.996188 0.0872334i \(-0.0278026\pi\)
0.422548 + 0.906341i \(0.361136\pi\)
\(30\) 3.65351e7 + 2.10936e7i 1.50350 + 0.868048i
\(31\) 2.36169e7 + 4.09057e7i 0.824925 + 1.42881i 0.901977 + 0.431785i \(0.142116\pi\)
−0.0770516 + 0.997027i \(0.524551\pi\)
\(32\) 1.32847e8i 3.95915i
\(33\) −1.40036e7 + 8.08497e6i −0.357824 + 0.206590i
\(34\) 7.57701e7 + 4.37459e7i 1.66764 + 0.962815i
\(35\) −5.77978e7 −1.10045
\(36\) 2.46912e7 4.27663e7i 0.408347 0.707277i
\(37\) 9.18615e6 5.30363e6i 0.132472 0.0764829i −0.432299 0.901730i \(-0.642298\pi\)
0.564772 + 0.825247i \(0.308964\pi\)
\(38\) −3.44671e6 5.96987e6i −0.0434997 0.0753437i
\(39\) 1.43401e8i 1.58939i
\(40\) −1.85085e8 3.20576e8i −1.80747 3.13062i
\(41\) 1.42402e7 0.122912 0.0614562 0.998110i \(-0.480426\pi\)
0.0614562 + 0.998110i \(0.480426\pi\)
\(42\) 2.17956e8i 1.66772i
\(43\) −1.30563e8 + 6.75626e7i −0.888135 + 0.459583i
\(44\) 2.23180e8 1.35329
\(45\) 5.87563e7i 0.318414i
\(46\) −1.08848e8 + 6.28436e7i −0.528485 + 0.305121i
\(47\) 4.75916e7 0.207511 0.103755 0.994603i \(-0.466914\pi\)
0.103755 + 0.994603i \(0.466914\pi\)
\(48\) 7.01161e8 4.04815e8i 2.75177 1.58873i
\(49\) 8.06617e6 + 1.39710e7i 0.0285553 + 0.0494593i
\(50\) −7.62407e7 4.40176e7i −0.243970 0.140856i
\(51\) 2.87746e8i 0.833985i
\(52\) −9.89622e8 + 1.71408e9i −2.60287 + 4.50830i
\(53\) −1.96679e7 3.40658e7i −0.0470304 0.0814590i 0.841552 0.540176i \(-0.181642\pi\)
−0.888582 + 0.458717i \(0.848309\pi\)
\(54\) 9.66358e8 2.10460
\(55\) 2.29969e8 1.32773e8i 0.456936 0.263812i
\(56\) −9.56225e8 + 1.65623e9i −1.73628 + 3.00733i
\(57\) 1.13356e7 1.96339e7i 0.0188396 0.0326312i
\(58\) 1.04045e9 1.80211e9i 1.58518 2.74562i
\(59\) −9.82948e8 −1.37490 −0.687449 0.726232i \(-0.741270\pi\)
−0.687449 + 0.726232i \(0.741270\pi\)
\(60\) 9.57500e8 1.65844e9i 1.23135 2.13277i
\(61\) 1.25557e9 + 7.24904e8i 1.48659 + 0.858284i 0.999883 0.0152801i \(-0.00486400\pi\)
0.486709 + 0.873564i \(0.338197\pi\)
\(62\) 2.53322e9 1.46255e9i 2.76512 1.59644i
\(63\) −2.62891e8 + 1.51780e8i −0.264894 + 0.152937i
\(64\) −4.15641e9 −3.87096
\(65\) 2.35495e9i 2.02962i
\(66\) 5.00688e8 + 8.67217e8i 0.399804 + 0.692481i
\(67\) −1.82503e8 3.16105e8i −0.135175 0.234130i 0.790489 0.612476i \(-0.209826\pi\)
−0.925664 + 0.378346i \(0.876493\pi\)
\(68\) 1.98576e9 3.43943e9i 1.36578 2.36560i
\(69\) −3.57984e8 2.06682e8i −0.228885 0.132147i
\(70\) 3.57931e9i 2.12966i
\(71\) 1.93702e9 + 1.11834e9i 1.07360 + 0.619843i 0.929163 0.369672i \(-0.120530\pi\)
0.144436 + 0.989514i \(0.453863\pi\)
\(72\) −1.68370e9 9.72083e8i −0.870165 0.502390i
\(73\) 8.39834e8 + 4.84879e8i 0.405116 + 0.233894i 0.688689 0.725057i \(-0.258187\pi\)
−0.283573 + 0.958951i \(0.591520\pi\)
\(74\) −3.28444e8 5.68882e8i −0.148014 0.256368i
\(75\) 2.89533e8i 0.122009i
\(76\) −2.70990e8 + 1.56456e8i −0.106877 + 0.0617057i
\(77\) −1.18812e9 6.85959e8i −0.438940 0.253422i
\(78\) −8.88058e9 −3.07587
\(79\) 9.60434e8 1.66352e9i 0.312127 0.540620i −0.666695 0.745330i \(-0.732292\pi\)
0.978823 + 0.204710i \(0.0656251\pi\)
\(80\) −1.15146e10 + 6.64794e9i −3.51397 + 2.02879i
\(81\) 1.07044e9 + 1.85406e9i 0.307000 + 0.531739i
\(82\) 8.81868e8i 0.237867i
\(83\) 2.87485e9 + 4.97938e9i 0.729834 + 1.26411i 0.956953 + 0.290243i \(0.0937361\pi\)
−0.227119 + 0.973867i \(0.572931\pi\)
\(84\) −9.89369e9 −2.36571
\(85\) 4.72540e9i 1.06499i
\(86\) 4.18403e9 + 8.08556e9i 0.889412 + 1.71877i
\(87\) 6.84371e9 1.37308
\(88\) 8.78653e9i 1.66496i
\(89\) −4.48416e9 + 2.58893e9i −0.803028 + 0.463628i −0.844529 0.535510i \(-0.820119\pi\)
0.0415008 + 0.999138i \(0.486786\pi\)
\(90\) −3.63868e9 −0.616213
\(91\) 1.05367e10 6.08334e9i 1.68848 0.974844i
\(92\) 2.85266e9 + 4.94095e9i 0.432823 + 0.749672i
\(93\) 8.33133e9 + 4.81009e9i 1.19757 + 0.691415i
\(94\) 2.94726e9i 0.401587i
\(95\) −1.86156e8 + 3.22431e8i −0.0240579 + 0.0416696i
\(96\) −1.35286e10 2.34322e10i −1.65919 2.87380i
\(97\) −6.89907e9 −0.803400 −0.401700 0.915771i \(-0.631580\pi\)
−0.401700 + 0.915771i \(0.631580\pi\)
\(98\) 8.65200e8 4.99524e8i 0.0957164 0.0552619i
\(99\) 6.97336e8 1.20782e9i 0.0733273 0.127007i
\(100\) −1.99809e9 + 3.46079e9i −0.199809 + 0.346079i
\(101\) −5.70000e9 + 9.87269e9i −0.542335 + 0.939353i 0.456434 + 0.889757i \(0.349126\pi\)
−0.998769 + 0.0495952i \(0.984207\pi\)
\(102\) 1.78196e10 1.61398
\(103\) 6.76616e9 1.17193e10i 0.583655 1.01092i −0.411387 0.911461i \(-0.634955\pi\)
0.995042 0.0994593i \(-0.0317113\pi\)
\(104\) 6.74826e10 + 3.89611e10i 5.54658 + 3.20232i
\(105\) −1.01946e10 + 5.88588e9i −0.798777 + 0.461174i
\(106\) −2.10963e9 + 1.21800e9i −0.157644 + 0.0910159i
\(107\) 4.56459e9 0.325449 0.162725 0.986672i \(-0.447972\pi\)
0.162725 + 0.986672i \(0.447972\pi\)
\(108\) 4.38659e10i 2.98544i
\(109\) −4.55940e7 7.89711e7i −0.00296329 0.00513258i 0.864540 0.502564i \(-0.167610\pi\)
−0.867503 + 0.497432i \(0.834277\pi\)
\(110\) −8.22237e9 1.42416e10i −0.510545 0.884289i
\(111\) 1.08020e9 1.87096e9i 0.0641045 0.111032i
\(112\) 5.94891e10 + 3.43461e10i 3.37557 + 1.94889i
\(113\) 2.37555e10i 1.28936i 0.764454 + 0.644678i \(0.223009\pi\)
−0.764454 + 0.644678i \(0.776991\pi\)
\(114\) −1.21589e9 7.01997e8i −0.0631497 0.0364595i
\(115\) 5.87886e9 + 3.39416e9i 0.292283 + 0.168750i
\(116\) −8.18029e10 4.72290e10i −3.89474 2.24863i
\(117\) 6.18423e9 + 1.07114e10i 0.282070 + 0.488559i
\(118\) 6.08723e10i 2.66078i
\(119\) −2.11427e10 + 1.22067e10i −0.885982 + 0.511522i
\(120\) −6.52922e10 3.76965e10i −2.62395 1.51494i
\(121\) −1.96343e10 −0.756987
\(122\) 4.48920e10 7.77553e10i 1.66100 2.87694i
\(123\) 2.51175e9 1.45016e9i 0.0892176 0.0515098i
\(124\) −6.63897e10 1.14990e11i −2.26460 3.92241i
\(125\) 2.79086e10i 0.914509i
\(126\) 9.39947e9 + 1.62804e10i 0.295972 + 0.512638i
\(127\) −1.19307e9 −0.0361115 −0.0180558 0.999837i \(-0.505748\pi\)
−0.0180558 + 0.999837i \(0.505748\pi\)
\(128\) 1.21364e11i 3.53215i
\(129\) −1.61491e10 + 2.52130e10i −0.452064 + 0.705792i
\(130\) 1.45838e11 3.92785
\(131\) 8.18797e9i 0.212236i 0.994354 + 0.106118i \(0.0338422\pi\)
−0.994354 + 0.106118i \(0.966158\pi\)
\(132\) 3.93656e10 2.27277e10i 0.982306 0.567135i
\(133\) 1.92352e9 0.0462209
\(134\) −1.95758e10 + 1.13021e10i −0.453103 + 0.261599i
\(135\) −2.60964e10 4.52002e10i −0.581984 1.00803i
\(136\) −1.35409e11 7.81786e10i −2.91041 1.68033i
\(137\) 3.53117e10i 0.731670i 0.930680 + 0.365835i \(0.119217\pi\)
−0.930680 + 0.365835i \(0.880783\pi\)
\(138\) −1.27995e10 + 2.21693e10i −0.255738 + 0.442952i
\(139\) −1.69527e10 2.93630e10i −0.326713 0.565883i 0.655145 0.755503i \(-0.272608\pi\)
−0.981857 + 0.189620i \(0.939274\pi\)
\(140\) 1.62476e11 3.02098
\(141\) 8.39443e9 4.84653e9i 0.150625 0.0869631i
\(142\) 6.92567e10 1.19956e11i 1.19956 2.07769i
\(143\) −2.79492e10 + 4.84095e10i −0.467401 + 0.809562i
\(144\) −3.49157e10 + 6.04757e10i −0.563908 + 0.976717i
\(145\) −1.12388e11 −1.75340
\(146\) 3.00277e10 5.20095e10i 0.452645 0.784004i
\(147\) 2.84550e9 + 1.64285e9i 0.0414545 + 0.0239338i
\(148\) −2.58233e10 + 1.49091e10i −0.363666 + 0.209963i
\(149\) −5.68911e10 + 3.28461e10i −0.774664 + 0.447252i −0.834536 0.550954i \(-0.814264\pi\)
0.0598721 + 0.998206i \(0.480931\pi\)
\(150\) −1.79303e10 −0.236119
\(151\) 9.60840e10i 1.22396i 0.790874 + 0.611979i \(0.209626\pi\)
−0.790874 + 0.611979i \(0.790374\pi\)
\(152\) 6.15964e9 + 1.06688e10i 0.0759167 + 0.131492i
\(153\) −1.24092e10 2.14933e10i −0.148008 0.256357i
\(154\) −4.24802e10 + 7.35779e10i −0.490437 + 0.849462i
\(155\) −1.36818e11 7.89921e10i −1.52928 0.882927i
\(156\) 4.03116e11i 4.36322i
\(157\) 1.36515e11 + 7.88169e10i 1.43114 + 0.826268i 0.997208 0.0746779i \(-0.0237929\pi\)
0.433931 + 0.900946i \(0.357126\pi\)
\(158\) −1.03019e11 5.94780e10i −1.04624 0.604047i
\(159\) −6.93823e9 4.00579e9i −0.0682753 0.0394187i
\(160\) 2.22169e11 + 3.84807e11i 2.11876 + 3.66981i
\(161\) 3.50713e10i 0.324208i
\(162\) 1.14819e11 6.62906e10i 1.02905 0.594124i
\(163\) 1.79951e11 + 1.03895e11i 1.56393 + 0.902935i 0.996853 + 0.0792688i \(0.0252585\pi\)
0.567075 + 0.823666i \(0.308075\pi\)
\(164\) −4.00306e10 −0.337422
\(165\) 2.70420e10 4.68381e10i 0.221116 0.382983i
\(166\) 3.08364e11 1.78034e11i 2.44638 1.41242i
\(167\) −4.41329e10 7.64404e10i −0.339766 0.588492i 0.644623 0.764501i \(-0.277015\pi\)
−0.984389 + 0.176009i \(0.943681\pi\)
\(168\) 3.89512e11i 2.91054i
\(169\) −1.78935e11 3.09924e11i −1.29796 2.24813i
\(170\) −2.92636e11 −2.06102
\(171\) 1.95542e9i 0.0133739i
\(172\) 3.67028e11 1.89926e11i 2.43813 1.26166i
\(173\) −4.00507e10 −0.258452 −0.129226 0.991615i \(-0.541249\pi\)
−0.129226 + 0.991615i \(0.541249\pi\)
\(174\) 4.23819e11i 2.65726i
\(175\) 2.12740e10 1.22825e10i 0.129616 0.0748338i
\(176\) −3.15598e11 −1.86883
\(177\) −1.73377e11 + 1.00099e11i −0.997989 + 0.576189i
\(178\) 1.60328e11 + 2.77696e11i 0.897241 + 1.55407i
\(179\) −1.33751e11 7.72212e10i −0.727833 0.420215i 0.0897959 0.995960i \(-0.471379\pi\)
−0.817629 + 0.575746i \(0.804712\pi\)
\(180\) 1.65170e11i 0.874117i
\(181\) −8.50633e10 + 1.47334e11i −0.437874 + 0.758420i −0.997525 0.0703079i \(-0.977602\pi\)
0.559651 + 0.828728i \(0.310935\pi\)
\(182\) −3.76731e11 6.52517e11i −1.88657 3.26764i
\(183\) 2.95285e11 1.43875
\(184\) 1.94524e11 1.12308e11i 0.922323 0.532503i
\(185\) −1.77392e10 + 3.07252e10i −0.0818606 + 0.141787i
\(186\) 2.97881e11 5.15944e11i 1.33807 2.31760i
\(187\) 5.60824e10 9.71375e10i 0.245255 0.424794i
\(188\) −1.33785e11 −0.569663
\(189\) −1.34825e11 + 2.33523e11i −0.559063 + 0.968325i
\(190\) 1.99676e10 + 1.15283e10i 0.0806413 + 0.0465583i
\(191\) −2.48984e11 + 1.43751e11i −0.979499 + 0.565514i −0.902119 0.431488i \(-0.857989\pi\)
−0.0773798 + 0.997002i \(0.524655\pi\)
\(192\) −7.33127e11 + 4.23271e11i −2.80979 + 1.62223i
\(193\) −4.76254e11 −1.77849 −0.889247 0.457428i \(-0.848771\pi\)
−0.889247 + 0.457428i \(0.848771\pi\)
\(194\) 4.27247e11i 1.55479i
\(195\) 2.39819e11 + 4.15378e11i 0.850570 + 1.47323i
\(196\) −2.26749e10 3.92740e10i −0.0783907 0.135777i
\(197\) 1.35114e11 2.34025e11i 0.455376 0.788735i −0.543333 0.839517i \(-0.682838\pi\)
0.998710 + 0.0507821i \(0.0161714\pi\)
\(198\) −7.47982e10 4.31848e10i −0.245791 0.141907i
\(199\) 1.56549e11i 0.501632i −0.968035 0.250816i \(-0.919301\pi\)
0.968035 0.250816i \(-0.0806989\pi\)
\(200\) 1.36250e11 + 7.86642e10i 0.425783 + 0.245826i
\(201\) −6.43817e10 3.71708e10i −0.196237 0.113298i
\(202\) 6.11398e11 + 3.52991e11i 1.81789 + 1.04956i
\(203\) 2.90323e11 + 5.02854e11i 0.842172 + 1.45869i
\(204\) 8.08885e11i 2.28947i
\(205\) −4.12483e10 + 2.38147e10i −0.113930 + 0.0657773i
\(206\) −7.25758e11 4.19017e11i −1.95639 1.12952i
\(207\) 3.56530e10 0.0938090
\(208\) 1.39942e12 2.42387e12i 3.59444 6.22576i
\(209\) −7.65340e9 + 4.41869e9i −0.0191921 + 0.0110806i
\(210\) 3.64502e11 + 6.31337e11i 0.892491 + 1.54584i
\(211\) 2.32461e11i 0.555825i 0.960606 + 0.277913i \(0.0896426\pi\)
−0.960606 + 0.277913i \(0.910357\pi\)
\(212\) 5.52885e10 + 9.57626e10i 0.129109 + 0.223623i
\(213\) 4.55548e11 1.03905
\(214\) 2.82677e11i 0.629828i
\(215\) 2.65203e11 4.14052e11i 0.577279 0.901287i
\(216\) −1.72699e12 −3.67299
\(217\) 8.16213e11i 1.69631i
\(218\) −4.89054e9 + 2.82355e9i −0.00993286 + 0.00573474i
\(219\) 1.97512e11 0.392078
\(220\) −6.46467e11 + 3.73238e11i −1.25439 + 0.724223i
\(221\) 4.97359e11 + 8.61452e11i 0.943428 + 1.63407i
\(222\) −1.15865e11 6.68948e10i −0.214876 0.124059i
\(223\) 2.68116e11i 0.486182i −0.970003 0.243091i \(-0.921839\pi\)
0.970003 0.243091i \(-0.0781614\pi\)
\(224\) 1.14782e12 1.98808e12i 2.03532 3.52528i
\(225\) 1.24862e10 + 2.16268e10i 0.0216531 + 0.0375042i
\(226\) 1.47114e12 2.49524
\(227\) 2.82458e11 1.63077e11i 0.468624 0.270560i −0.247039 0.969005i \(-0.579458\pi\)
0.715664 + 0.698445i \(0.246124\pi\)
\(228\) −3.18657e10 + 5.51931e10i −0.0517189 + 0.0895798i
\(229\) 4.44712e11 7.70264e11i 0.706158 1.22310i −0.260114 0.965578i \(-0.583760\pi\)
0.966272 0.257523i \(-0.0829065\pi\)
\(230\) 2.10195e11 3.64068e11i 0.326574 0.565644i
\(231\) −2.79421e11 −0.424814
\(232\) −1.85939e12 + 3.22056e12i −2.76650 + 4.79172i
\(233\) 4.39186e11 + 2.53564e11i 0.639541 + 0.369239i 0.784438 0.620208i \(-0.212952\pi\)
−0.144897 + 0.989447i \(0.546285\pi\)
\(234\) 6.63339e11 3.82979e11i 0.945488 0.545878i
\(235\) −1.37855e11 + 7.95904e10i −0.192345 + 0.111051i
\(236\) 2.76317e12 3.77440
\(237\) 3.91226e11i 0.523222i
\(238\) 7.55941e11 + 1.30933e12i 0.989926 + 1.71460i
\(239\) 1.39732e11 + 2.42023e11i 0.179187 + 0.310362i 0.941602 0.336727i \(-0.109320\pi\)
−0.762415 + 0.647088i \(0.775987\pi\)
\(240\) −1.35400e12 + 2.34519e12i −1.70044 + 2.94525i
\(241\) −8.09150e11 4.67163e11i −0.995277 0.574624i −0.0884296 0.996082i \(-0.528185\pi\)
−0.906847 + 0.421459i \(0.861518\pi\)
\(242\) 1.21592e12i 1.46497i
\(243\) −4.20361e11 2.42696e11i −0.496125 0.286438i
\(244\) −3.52954e12 2.03778e12i −4.08103 2.35618i
\(245\) −4.67292e10 2.69791e10i −0.0529369 0.0305631i
\(246\) −8.98058e10 1.55548e11i −0.0996848 0.172659i
\(247\) 7.83732e10i 0.0852477i
\(248\) −4.52713e12 + 2.61374e12i −4.82575 + 2.78615i
\(249\) 1.01416e12 + 5.85525e11i 1.05952 + 0.611714i
\(250\) −1.72833e12 −1.76981
\(251\) −3.15045e11 + 5.45674e11i −0.316230 + 0.547727i −0.979698 0.200478i \(-0.935751\pi\)
0.663468 + 0.748205i \(0.269084\pi\)
\(252\) 7.39014e11 4.26670e11i 0.727193 0.419845i
\(253\) 8.05656e10 + 1.39544e11i 0.0777226 + 0.134619i
\(254\) 7.38845e10i 0.0698851i
\(255\) −4.81216e11 8.33490e11i −0.446312 0.773035i
\(256\) 3.25967e12 2.96466
\(257\) 9.86905e11i 0.880257i −0.897935 0.440129i \(-0.854933\pi\)
0.897935 0.440129i \(-0.145067\pi\)
\(258\) 1.56140e12 + 1.00009e12i 1.36589 + 0.874860i
\(259\) 1.83296e11 0.157273
\(260\) 6.62003e12i 5.57177i
\(261\) −5.11194e11 + 2.95138e11i −0.422068 + 0.243681i
\(262\) 5.07067e11 0.410732
\(263\) 1.26381e10 7.29660e9i 0.0100439 0.00579885i −0.494970 0.868910i \(-0.664821\pi\)
0.505014 + 0.863111i \(0.331487\pi\)
\(264\) −8.94783e11 1.54981e12i −0.697748 1.20853i
\(265\) 1.13941e11 + 6.57837e10i 0.0871866 + 0.0503372i
\(266\) 1.19120e11i 0.0894493i
\(267\) −5.27291e11 + 9.13296e11i −0.388593 + 0.673062i
\(268\) 5.13037e11 + 8.88606e11i 0.371086 + 0.642740i
\(269\) 2.20264e12 1.56380 0.781900 0.623404i \(-0.214251\pi\)
0.781900 + 0.623404i \(0.214251\pi\)
\(270\) −2.79917e12 + 1.61610e12i −1.95079 + 1.12629i
\(271\) 7.97109e11 1.38063e12i 0.545345 0.944565i −0.453240 0.891388i \(-0.649732\pi\)
0.998585 0.0531765i \(-0.0169346\pi\)
\(272\) −2.80805e12 + 4.86369e12i −1.88608 + 3.26679i
\(273\) 1.23900e12 2.14602e12i 0.817071 1.41521i
\(274\) 2.18679e12 1.41597
\(275\) −5.64307e10 + 9.77409e10i −0.0358800 + 0.0621459i
\(276\) 1.00633e12 + 5.81005e11i 0.628341 + 0.362773i
\(277\) −1.70644e12 + 9.85211e11i −1.04638 + 0.604130i −0.921635 0.388058i \(-0.873146\pi\)
−0.124749 + 0.992188i \(0.539813\pi\)
\(278\) −1.81840e12 + 1.04985e12i −1.09513 + 0.632273i
\(279\) −8.29749e11 −0.490824
\(280\) 6.39662e12i 3.71672i
\(281\) 1.40767e12 + 2.43816e12i 0.803469 + 1.39165i 0.917319 + 0.398152i \(0.130348\pi\)
−0.113850 + 0.993498i \(0.536318\pi\)
\(282\) −3.00137e11 5.19853e11i −0.168296 0.291497i
\(283\) 1.15702e12 2.00402e12i 0.637394 1.10400i −0.348608 0.937269i \(-0.613346\pi\)
0.986002 0.166731i \(-0.0533211\pi\)
\(284\) −5.44517e12 3.14377e12i −2.94727 1.70161i
\(285\) 7.58293e10i 0.0403286i
\(286\) 2.99791e12 + 1.73085e12i 1.56671 + 0.904541i
\(287\) 2.13106e11 + 1.23037e11i 0.109443 + 0.0631867i
\(288\) 2.02105e12 + 1.16685e12i 1.02003 + 0.588916i
\(289\) 1.00053e10 + 1.73297e10i 0.00496297 + 0.00859612i
\(290\) 6.96001e12i 3.39328i
\(291\) −1.21689e12 + 7.02572e11i −0.583159 + 0.336687i
\(292\) −2.36086e12 1.36305e12i −1.11213 0.642090i
\(293\) −1.70312e12 −0.788692 −0.394346 0.918962i \(-0.629029\pi\)
−0.394346 + 0.918962i \(0.629029\pi\)
\(294\) 1.01739e11 1.76217e11i 0.0463180 0.0802252i
\(295\) 2.84723e12 1.64385e12i 1.27442 0.735785i
\(296\) 5.86965e11 + 1.01665e12i 0.258318 + 0.447419i
\(297\) 1.23887e12i 0.536099i
\(298\) 2.03410e12 + 3.52317e12i 0.865548 + 1.49917i
\(299\) −1.42897e12 −0.597954
\(300\) 8.13909e11i 0.334942i
\(301\) −2.53765e12 1.17000e11i −1.02707 0.0473536i
\(302\) 5.95032e12 2.36867
\(303\) 2.32186e12i 0.909122i
\(304\) 3.83206e11 2.21244e11i 0.147593 0.0852127i
\(305\) −4.84921e12 −1.83726
\(306\) −1.33104e12 + 7.68478e11i −0.496118 + 0.286434i
\(307\) −7.09291e11 1.22853e12i −0.260096 0.450499i 0.706172 0.708041i \(-0.250421\pi\)
−0.966267 + 0.257542i \(0.917087\pi\)
\(308\) 3.33992e12 + 1.92831e12i 1.20499 + 0.695700i
\(309\) 2.75615e12i 0.978387i
\(310\) −4.89184e12 + 8.47292e12i −1.70869 + 2.95954i
\(311\) −3.31030e10 5.73361e10i −0.0113780 0.0197073i 0.860280 0.509821i \(-0.170288\pi\)
−0.871658 + 0.490114i \(0.836955\pi\)
\(312\) 1.58705e13 5.36808
\(313\) −2.17457e11 + 1.25549e11i −0.0723855 + 0.0417918i −0.535756 0.844373i \(-0.679973\pi\)
0.463370 + 0.886165i \(0.346640\pi\)
\(314\) 4.88099e12 8.45413e12i 1.59904 2.76962i
\(315\) 5.07662e11 8.79297e11i 0.163690 0.283519i
\(316\) −2.69988e12 + 4.67633e12i −0.856859 + 1.48412i
\(317\) −1.44309e12 −0.450813 −0.225407 0.974265i \(-0.572371\pi\)
−0.225407 + 0.974265i \(0.572371\pi\)
\(318\) −2.48072e11 + 4.29673e11i −0.0762854 + 0.132130i
\(319\) −2.31030e12 1.33386e12i −0.699384 0.403790i
\(320\) 1.20395e13 6.95102e12i 3.58806 2.07157i
\(321\) 8.05125e11 4.64839e11i 0.236232 0.136388i
\(322\) −2.17191e12 −0.627425
\(323\) 1.57262e11i 0.0447313i
\(324\) −3.00913e12 5.21196e12i −0.842783 1.45974i
\(325\) −5.00449e11 8.66802e11i −0.138020 0.239058i
\(326\) 6.43403e12 1.11441e13i 1.74741 3.02661i
\(327\) −1.60842e10 9.28620e9i −0.00430190 0.00248370i
\(328\) 1.57599e12i 0.415131i
\(329\) 7.12215e11 + 4.11198e11i 0.184770 + 0.106677i
\(330\) −2.90060e12 1.67466e12i −0.741172 0.427916i
\(331\) 4.52727e11 + 2.61382e11i 0.113945 + 0.0657864i 0.555890 0.831256i \(-0.312378\pi\)
−0.441944 + 0.897043i \(0.645711\pi\)
\(332\) −8.08150e12 1.39976e13i −2.00356 3.47026i
\(333\) 1.86336e11i 0.0455067i
\(334\) −4.73382e12 + 2.73307e12i −1.13888 + 0.657535i
\(335\) 1.05729e12 + 6.10424e11i 0.250593 + 0.144680i
\(336\) 1.39906e13 3.26694
\(337\) 4.03793e12 6.99391e12i 0.928987 1.60905i 0.143967 0.989582i \(-0.454014\pi\)
0.785020 0.619470i \(-0.212653\pi\)
\(338\) −1.91931e13 + 1.10811e13i −4.35072 + 2.51189i
\(339\) 2.41917e12 + 4.19012e12i 0.540340 + 0.935896i
\(340\) 1.32836e13i 2.92363i
\(341\) −1.87500e12 3.24759e12i −0.406658 0.704352i
\(342\) 1.21096e11 0.0258820
\(343\) 4.60248e12i 0.969440i
\(344\) −7.47732e12 1.44498e13i −1.55222 2.99964i
\(345\) 1.38259e12 0.282877
\(346\) 2.48027e12i 0.500171i
\(347\) −4.45776e11 + 2.57369e11i −0.0886073 + 0.0511574i −0.543649 0.839313i \(-0.682958\pi\)
0.455042 + 0.890470i \(0.349624\pi\)
\(348\) −1.92384e13 −3.76940
\(349\) 5.47349e12 3.16012e12i 1.05715 0.610347i 0.132509 0.991182i \(-0.457697\pi\)
0.924643 + 0.380835i \(0.124363\pi\)
\(350\) −7.60636e11 1.31746e12i −0.144823 0.250840i
\(351\) 9.51484e12 + 5.49340e12i 1.78594 + 1.03111i
\(352\) 1.05470e13i 1.95172i
\(353\) 2.48402e12 4.30245e12i 0.453191 0.784950i −0.545391 0.838182i \(-0.683619\pi\)
0.998582 + 0.0532316i \(0.0169521\pi\)
\(354\) 6.19898e12 + 1.07369e13i 1.11507 + 1.93137i
\(355\) −7.48107e12 −1.32685
\(356\) 1.26054e13 7.27776e12i 2.20449 1.27276i
\(357\) −2.48616e12 + 4.30616e12i −0.428734 + 0.742590i
\(358\) −4.78217e12 + 8.28296e12i −0.813224 + 1.40854i
\(359\) −6.80876e11 + 1.17931e12i −0.114182 + 0.197768i −0.917452 0.397846i \(-0.869758\pi\)
0.803271 + 0.595614i \(0.203091\pi\)
\(360\) 6.50271e12 1.07543
\(361\) −3.05934e12 + 5.29893e12i −0.498990 + 0.864275i
\(362\) 9.12413e12 + 5.26782e12i 1.46774 + 0.847400i
\(363\) −3.46319e12 + 1.99948e12i −0.549470 + 0.317236i
\(364\) −2.96197e13 + 1.71009e13i −4.63525 + 2.67616i
\(365\) −3.24357e12 −0.500679
\(366\) 1.82865e13i 2.78435i
\(367\) −2.97963e12 5.16087e12i −0.447540 0.775162i 0.550686 0.834713i \(-0.314366\pi\)
−0.998225 + 0.0595513i \(0.981033\pi\)
\(368\) −4.03393e12 6.98697e12i −0.597708 1.03526i
\(369\) −1.25077e11 + 2.16640e11i −0.0182830 + 0.0316671i
\(370\) 1.90275e12 + 1.09856e12i 0.274394 + 0.158421i
\(371\) 6.79733e11i 0.0967094i
\(372\) −2.34203e13 1.35217e13i −3.28758 1.89809i
\(373\) −1.18391e12 6.83534e11i −0.163974 0.0946707i 0.415767 0.909471i \(-0.363513\pi\)
−0.579742 + 0.814800i \(0.696846\pi\)
\(374\) −6.01555e12 3.47308e12i −0.822087 0.474632i
\(375\) −2.84209e12 4.92265e12i −0.383250 0.663808i
\(376\) 5.26708e12i 0.700859i
\(377\) 2.04886e13 1.18291e13i 2.69034 1.55327i
\(378\) 1.44617e13 + 8.34946e12i 1.87396 + 1.08193i
\(379\) −7.38856e12 −0.944852 −0.472426 0.881370i \(-0.656622\pi\)
−0.472426 + 0.881370i \(0.656622\pi\)
\(380\) 5.23304e11 9.06389e11i 0.0660444 0.114392i
\(381\) −2.10439e11 + 1.21497e11i −0.0262121 + 0.0151335i
\(382\) 8.90223e12 + 1.54191e13i 1.09441 + 1.89558i
\(383\) 4.44676e12i 0.539572i 0.962920 + 0.269786i \(0.0869530\pi\)
−0.962920 + 0.269786i \(0.913047\pi\)
\(384\) 1.23592e13 + 2.14067e13i 1.48024 + 2.56386i
\(385\) 4.58869e12 0.542482
\(386\) 2.94936e13i 3.44184i
\(387\) 1.18940e11 2.57974e12i 0.0137017 0.297181i
\(388\) 1.93940e13 2.20551
\(389\) 2.44520e12i 0.274516i 0.990535 + 0.137258i \(0.0438289\pi\)
−0.990535 + 0.137258i \(0.956171\pi\)
\(390\) 2.57236e13 1.48515e13i 2.85108 1.64607i
\(391\) 2.86735e12 0.313759
\(392\) −1.54621e12 + 8.92703e11i −0.167046 + 0.0964443i
\(393\) 8.33829e11 + 1.44423e12i 0.0889435 + 0.154055i
\(394\) −1.44928e13 8.36740e12i −1.52641 0.881270i
\(395\) 6.42477e12i 0.668148i
\(396\) −1.96029e12 + 3.39531e12i −0.201300 + 0.348662i
\(397\) 4.15527e12 + 7.19714e12i 0.421354 + 0.729806i 0.996072 0.0885451i \(-0.0282217\pi\)
−0.574718 + 0.818351i \(0.694888\pi\)
\(398\) −9.69481e12 −0.970786
\(399\) 3.39279e11 1.95883e11i 0.0335500 0.0193701i
\(400\) 2.82549e12 4.89390e12i 0.275927 0.477920i
\(401\) −1.02248e12 + 1.77099e12i −0.0986130 + 0.170803i −0.911111 0.412162i \(-0.864774\pi\)
0.812498 + 0.582964i \(0.198107\pi\)
\(402\) −2.30192e12 + 3.98704e12i −0.219260 + 0.379770i
\(403\) 3.32564e13 3.12860
\(404\) 1.60233e13 2.77532e13i 1.48883 2.57873i
\(405\) −6.20132e12 3.58034e12i −0.569127 0.328586i
\(406\) 3.11409e13 1.79792e13i 2.82293 1.62982i
\(407\) −7.29309e11 + 4.21067e11i −0.0653039 + 0.0377032i
\(408\) −3.18455e13 −2.81675
\(409\) 1.72249e13i 1.50501i 0.658585 + 0.752507i \(0.271156\pi\)
−0.658585 + 0.752507i \(0.728844\pi\)
\(410\) 1.47480e12 + 2.55444e12i 0.127296 + 0.220483i
\(411\) 3.59599e12 + 6.22844e12i 0.306627 + 0.531093i
\(412\) −1.90204e13 + 3.29443e13i −1.60226 + 2.77520i
\(413\) −1.47100e13 8.49280e12i −1.22423 0.706807i
\(414\) 2.20793e12i 0.181545i
\(415\) −1.66547e13 9.61558e12i −1.35299 0.781151i
\(416\) −8.10036e13 4.67675e13i −6.50186 3.75385i
\(417\) −5.98041e12 3.45279e12i −0.474297 0.273836i
\(418\) 2.73642e11 + 4.73961e11i 0.0214438 + 0.0371417i
\(419\) 2.34079e13i 1.81256i 0.422677 + 0.906280i \(0.361090\pi\)
−0.422677 + 0.906280i \(0.638910\pi\)
\(420\) 2.86583e13 1.65459e13i 2.19282 1.26603i
\(421\) 9.32514e12 + 5.38387e12i 0.705091 + 0.407084i 0.809241 0.587477i \(-0.199879\pi\)
−0.104150 + 0.994562i \(0.533212\pi\)
\(422\) 1.43959e13 1.07567
\(423\) −4.18017e11 + 7.24027e11i −0.0308669 + 0.0534630i
\(424\) 3.77014e12 2.17669e12i 0.275124 0.158843i
\(425\) 1.00419e12 + 1.73931e12i 0.0724222 + 0.125439i
\(426\) 2.82113e13i 2.01083i
\(427\) 1.25265e13 + 2.16966e13i 0.882453 + 1.52845i
\(428\) −1.28316e13 −0.893431
\(429\) 1.13849e13i 0.783509i
\(430\) −2.56415e13 1.64235e13i −1.74422 1.11718i
\(431\) −2.23164e13 −1.50051 −0.750255 0.661149i \(-0.770069\pi\)
−0.750255 + 0.661149i \(0.770069\pi\)
\(432\) 6.20306e13i 4.12275i
\(433\) 9.13117e12 5.27188e12i 0.599911 0.346359i −0.169096 0.985600i \(-0.554085\pi\)
0.769007 + 0.639241i \(0.220751\pi\)
\(434\) 5.05466e13 3.28279
\(435\) −1.98236e13 + 1.14452e13i −1.27273 + 0.734811i
\(436\) 1.28170e11 + 2.21996e11i 0.00813490 + 0.0140901i
\(437\) −1.95649e11 1.12958e11i −0.0122764 0.00708779i
\(438\) 1.22316e13i 0.758773i
\(439\) 1.88232e11 3.26028e11i 0.0115444 0.0199955i −0.860195 0.509964i \(-0.829659\pi\)
0.871740 + 0.489969i \(0.162992\pi\)
\(440\) 1.46943e13 + 2.54512e13i 0.891014 + 1.54328i
\(441\) −2.83394e11 −0.0169902
\(442\) 5.33482e13 3.08006e13i 3.16234 1.82578i
\(443\) 4.06283e12 7.03704e12i 0.238128 0.412450i −0.722049 0.691842i \(-0.756800\pi\)
0.960177 + 0.279392i \(0.0901329\pi\)
\(444\) −3.03655e12 + 5.25947e12i −0.175981 + 0.304808i
\(445\) 8.65926e12 1.49983e13i 0.496227 0.859491i
\(446\) −1.66040e13 −0.940888
\(447\) −6.68982e12 + 1.15871e13i −0.374867 + 0.649288i
\(448\) −6.22013e13 3.59119e13i −3.44675 1.98998i
\(449\) 1.61006e13 9.29571e12i 0.882290 0.509390i 0.0108774 0.999941i \(-0.496538\pi\)
0.871413 + 0.490550i \(0.163204\pi\)
\(450\) 1.33931e12 7.73251e11i 0.0725803 0.0419042i
\(451\) −1.13056e12 −0.0605913
\(452\) 6.67794e13i 3.53957i
\(453\) 9.78480e12 + 1.69478e13i 0.512933 + 0.888426i
\(454\) −1.00991e13 1.74921e13i −0.523604 0.906909i
\(455\) −2.03471e13 + 3.52422e13i −1.04339 + 1.80720i
\(456\) 2.17293e12 + 1.25454e12i 0.110210 + 0.0636300i
\(457\) 5.78213e12i 0.290073i −0.989426 0.145036i \(-0.953670\pi\)
0.989426 0.145036i \(-0.0463299\pi\)
\(458\) −4.77011e13 2.75403e13i −2.36702 1.36660i
\(459\) −1.90923e13 1.10229e13i −0.937119 0.541046i
\(460\) −1.65261e13 9.54136e12i −0.802383 0.463256i
\(461\) −5.13359e12 8.89164e12i −0.246557 0.427049i 0.716012 0.698088i \(-0.245966\pi\)
−0.962568 + 0.271040i \(0.912632\pi\)
\(462\) 1.73040e13i 0.822125i
\(463\) −1.00029e13 + 5.77519e12i −0.470134 + 0.271432i −0.716296 0.697797i \(-0.754164\pi\)
0.246162 + 0.969229i \(0.420831\pi\)
\(464\) 1.15677e14 + 6.67863e13i 5.37846 + 3.10526i
\(465\) −3.21769e13 −1.48006
\(466\) 1.57028e13 2.71980e13i 0.714573 1.23768i
\(467\) 1.47845e12 8.53581e11i 0.0665611 0.0384291i −0.466350 0.884600i \(-0.654431\pi\)
0.532911 + 0.846171i \(0.321098\pi\)
\(468\) −1.73845e13 3.01109e13i −0.774344 1.34120i
\(469\) 6.30742e12i 0.277963i
\(470\) 4.92889e12 + 8.53710e12i 0.214912 + 0.372238i
\(471\) 3.21055e13 1.38508
\(472\) 1.08785e14i 4.64366i
\(473\) 1.03657e13 5.36394e12i 0.437818 0.226558i
\(474\) −2.42280e13 −1.01257
\(475\) 1.58239e11i 0.00654403i
\(476\) 5.94343e13 3.43144e13i 2.43222 1.40424i
\(477\) 6.91006e11 0.0279827
\(478\) 1.49881e13 8.65338e12i 0.600630 0.346774i
\(479\) −1.35073e13 2.33954e13i −0.535664 0.927797i −0.999131 0.0416829i \(-0.986728\pi\)
0.463467 0.886114i \(-0.346605\pi\)
\(480\) 7.83743e13 + 4.52494e13i 3.07587 + 1.77585i
\(481\) 7.46835e12i 0.290068i
\(482\) −2.89306e13 + 5.01093e13i −1.11204 + 1.92612i
\(483\) −3.57152e12 6.18605e12i −0.135868 0.235330i
\(484\) 5.51941e13 2.07810
\(485\) 1.99840e13 1.15377e13i 0.744685 0.429944i
\(486\) −1.50297e13 + 2.60322e13i −0.554331 + 0.960130i
\(487\) 3.59713e12 6.23041e12i 0.131314 0.227442i −0.792869 0.609392i \(-0.791414\pi\)
0.924183 + 0.381949i \(0.124747\pi\)
\(488\) −8.02269e13 + 1.38957e14i −2.89882 + 5.02090i
\(489\) 4.23209e13 1.51360
\(490\) −1.67077e12 + 2.89386e12i −0.0591475 + 0.102446i
\(491\) −1.49727e13 8.64446e12i −0.524676 0.302922i 0.214170 0.976796i \(-0.431295\pi\)
−0.738846 + 0.673875i \(0.764629\pi\)
\(492\) −7.06080e12 + 4.07655e12i −0.244922 + 0.141406i
\(493\) −4.11121e13 + 2.37361e13i −1.41168 + 0.815032i
\(494\) −4.85351e12 −0.164976
\(495\) 4.66479e12i 0.156966i
\(496\) 9.38814e13 + 1.62607e14i 3.12731 + 5.41666i
\(497\) 1.93252e13 + 3.34722e13i 0.637297 + 1.10383i
\(498\) 3.62605e13 6.28051e13i 1.18382 2.05044i
\(499\) 6.21022e12 + 3.58547e12i 0.200726 + 0.115889i 0.596994 0.802246i \(-0.296362\pi\)
−0.396268 + 0.918135i \(0.629695\pi\)
\(500\) 7.84540e13i 2.51053i
\(501\) −1.55687e13 8.98862e12i −0.493247 0.284777i
\(502\) 3.37926e13 + 1.95102e13i 1.05999 + 0.611987i
\(503\) −4.11889e12 2.37804e12i −0.127921 0.0738550i 0.434674 0.900588i \(-0.356864\pi\)
−0.562595 + 0.826733i \(0.690197\pi\)
\(504\) −1.67979e13 2.90947e13i −0.516537 0.894668i
\(505\) 3.81299e13i 1.16094i
\(506\) 8.64170e12 4.98929e12i 0.260523 0.150413i
\(507\) −6.31228e13 3.64440e13i −1.88428 1.08789i
\(508\) 3.35384e12 0.0991342
\(509\) −3.86931e12 + 6.70184e12i −0.113252 + 0.196158i −0.917079 0.398704i \(-0.869460\pi\)
0.803828 + 0.594862i \(0.202793\pi\)
\(510\) −5.16166e13 + 2.98008e13i −1.49602 + 0.863729i
\(511\) 8.37883e12 + 1.45126e13i 0.240480 + 0.416524i
\(512\) 7.75896e13i 2.20523i
\(513\) 8.68490e11 + 1.50427e12i 0.0244443 + 0.0423388i
\(514\) −6.11173e13 −1.70352
\(515\) 4.52619e13i 1.24939i
\(516\) 4.53968e13 7.08766e13i 1.24102 1.93756i
\(517\) −3.77840e12 −0.102295
\(518\) 1.13512e13i 0.304364i
\(519\) −7.06434e12 + 4.07860e12i −0.187601 + 0.108311i
\(520\) −2.60628e14 −6.85496
\(521\) 4.14971e13 2.39584e13i 1.08101 0.624121i 0.149840 0.988710i \(-0.452124\pi\)
0.931168 + 0.364590i \(0.118791\pi\)
\(522\) 1.82774e13 + 3.16573e13i 0.471586 + 0.816811i
\(523\) 4.30454e13 + 2.48523e13i 1.10006 + 0.635122i 0.936238 0.351367i \(-0.114283\pi\)
0.163826 + 0.986489i \(0.447616\pi\)
\(524\) 2.30173e13i 0.582636i
\(525\) 2.50161e12 4.33291e12i 0.0627223 0.108638i
\(526\) −4.51865e11 7.82654e11i −0.0112223 0.0194375i
\(527\) −6.67316e13 −1.64164
\(528\) −5.56667e13 + 3.21392e13i −1.35652 + 0.783187i
\(529\) 1.86537e13 3.23092e13i 0.450284 0.779915i
\(530\) 4.07387e12 7.05615e12i 0.0974154 0.168728i
\(531\) 8.63366e12 1.49539e13i 0.204514 0.354228i
\(532\) −5.40722e12 −0.126887
\(533\) 5.01310e12 8.68295e12i 0.116539 0.201851i
\(534\) 5.65588e13 + 3.26542e13i 1.30255 + 0.752027i
\(535\) −1.32219e13 + 7.63366e12i −0.301665 + 0.174166i
\(536\) 3.49841e13 2.01981e13i 0.790765 0.456548i
\(537\) −3.14555e13 −0.704410
\(538\) 1.36405e14i 3.02636i
\(539\) −6.40391e11 1.10919e12i −0.0140767 0.0243816i
\(540\) 7.33597e13 + 1.27063e14i 1.59768 + 2.76725i
\(541\) 1.80133e13 3.12000e13i 0.388693 0.673237i −0.603581 0.797302i \(-0.706260\pi\)
0.992274 + 0.124065i \(0.0395932\pi\)
\(542\) −8.55002e13 4.93636e13i −1.82798 1.05538i
\(543\) 3.46500e13i 0.734013i
\(544\) 1.62540e14 + 9.38427e13i 3.41167 + 1.96973i
\(545\) 2.64137e11 + 1.52499e11i 0.00549346 + 0.00317165i
\(546\) −1.32899e14 7.67294e13i −2.73879 1.58124i
\(547\) −2.75485e13 4.77154e13i −0.562551 0.974366i −0.997273 0.0738018i \(-0.976487\pi\)
0.434722 0.900565i \(-0.356847\pi\)
\(548\) 9.92649e13i 2.00860i
\(549\) −2.20564e13 + 1.27343e13i −0.442256 + 0.255336i
\(550\) 6.05292e12 + 3.49466e12i 0.120268 + 0.0694370i
\(551\) 3.74030e12 0.0736459
\(552\) 2.28740e13 3.96189e13i 0.446320 0.773050i
\(553\) 2.87461e13 1.65965e13i 0.555844 0.320917i
\(554\) 6.10124e13 + 1.05677e14i 1.16915 + 2.02502i
\(555\) 7.22593e12i 0.137224i
\(556\) 4.76560e13 + 8.25426e13i 0.896899 + 1.55347i
\(557\) 4.51072e13 0.841337 0.420669 0.907214i \(-0.361795\pi\)
0.420669 + 0.907214i \(0.361795\pi\)
\(558\) 5.13849e13i 0.949871i
\(559\) −4.76713e12 + 1.03396e14i −0.0873370 + 1.89428i
\(560\) −2.29756e14 −4.17184
\(561\) 2.28448e13i 0.411124i
\(562\) 1.50991e14 8.71746e13i 2.69320 1.55492i
\(563\) −3.71191e13 −0.656229 −0.328115 0.944638i \(-0.606413\pi\)
−0.328115 + 0.944638i \(0.606413\pi\)
\(564\) −2.35977e13 + 1.36241e13i −0.413498 + 0.238733i
\(565\) −3.97279e13 6.88107e13i −0.690007 1.19513i
\(566\) −1.24105e14 7.16521e13i −2.13652 1.23352i
\(567\) 3.69951e13i 0.631289i
\(568\) −1.23769e14 + 2.14375e14i −2.09349 + 3.62603i
\(569\) −3.36154e13 5.82237e13i −0.563609 0.976199i −0.997178 0.0750783i \(-0.976079\pi\)
0.433569 0.901120i \(-0.357254\pi\)
\(570\) 4.69597e12 0.0780461
\(571\) 6.68817e13 3.86141e13i 1.10186 0.636159i 0.165151 0.986268i \(-0.447189\pi\)
0.936709 + 0.350109i \(0.113855\pi\)
\(572\) 7.85683e13 1.36084e14i 1.28312 2.22243i
\(573\) −2.92779e13 + 5.07109e13i −0.473988 + 0.820972i
\(574\) 7.61946e12 1.31973e13i 0.122283 0.211800i
\(575\) −2.88516e12 −0.0459019
\(576\) 3.65075e13 6.32329e13i 0.575798 0.997311i
\(577\) −1.64102e13 9.47445e12i −0.256588 0.148141i 0.366189 0.930540i \(-0.380662\pi\)
−0.622777 + 0.782399i \(0.713996\pi\)
\(578\) 1.07320e12 6.19612e11i 0.0166357 0.00960463i
\(579\) −8.40040e13 + 4.84997e13i −1.29094 + 0.745327i
\(580\) 3.15936e14 4.81348
\(581\) 9.93562e13i 1.50077i
\(582\) 4.35091e13 + 7.53599e13i 0.651576 + 1.12856i
\(583\) 1.56148e12 + 2.70456e12i 0.0231842 + 0.0401563i
\(584\) −5.36627e13 + 9.29465e13i −0.789966 + 1.36826i
\(585\) −3.58267e13 2.06846e13i −0.522911 0.301903i
\(586\) 1.05471e14i 1.52632i
\(587\) 9.91370e13 + 5.72368e13i 1.42248 + 0.821267i 0.996510 0.0834717i \(-0.0266008\pi\)
0.425966 + 0.904739i \(0.359934\pi\)
\(588\) −7.99901e12 4.61823e12i −0.113802 0.0657035i
\(589\) 4.55333e12 + 2.62887e12i 0.0642322 + 0.0370845i
\(590\) −1.01801e14 1.76324e14i −1.42393 2.46633i
\(591\) 5.50379e13i 0.763352i
\(592\) 3.65166e13 2.10828e13i 0.502205 0.289948i
\(593\) −7.97011e13 4.60155e13i −1.08690 0.627524i −0.154153 0.988047i \(-0.549265\pi\)
−0.932750 + 0.360523i \(0.882598\pi\)
\(594\) −7.67213e13 −1.03749
\(595\) 4.08281e13 7.07164e13i 0.547488 0.948277i
\(596\) 1.59927e14 9.23339e13i 2.12662 1.22781i
\(597\) −1.59423e13 2.76129e13i −0.210223 0.364116i
\(598\) 8.84938e13i 1.15720i
\(599\) −2.44122e13 4.22832e13i −0.316573 0.548320i 0.663198 0.748444i \(-0.269199\pi\)
−0.979771 + 0.200124i \(0.935865\pi\)
\(600\) 3.20433e13 0.412080
\(601\) 7.98023e13i 1.01775i −0.860839 0.508877i \(-0.830061\pi\)
0.860839 0.508877i \(-0.169939\pi\)
\(602\) −7.24560e12 + 1.57152e14i −0.0916415 + 1.98764i
\(603\) 6.41202e12 0.0804282
\(604\) 2.70103e14i 3.36004i
\(605\) 5.68731e13 3.28357e13i 0.701665 0.405106i
\(606\) 1.43789e14 1.75939
\(607\) 9.08491e13 5.24517e13i 1.10250 0.636526i 0.165621 0.986190i \(-0.447037\pi\)
0.936876 + 0.349663i \(0.113704\pi\)
\(608\) −7.39380e12 1.28064e13i −0.0889918 0.154138i
\(609\) 1.02417e14 + 5.91305e13i 1.22260 + 0.705871i
\(610\) 3.00303e14i 3.55558i
\(611\) 1.67541e13 2.90190e13i 0.196751 0.340782i
\(612\) 3.48835e13 + 6.04200e13i 0.406315 + 0.703758i
\(613\) 3.75539e13 0.433863 0.216931 0.976187i \(-0.430395\pi\)
0.216931 + 0.976187i \(0.430395\pi\)
\(614\) −7.60806e13 + 4.39252e13i −0.871831 + 0.503352i
\(615\) −4.85038e12 + 8.40111e12i −0.0551316 + 0.0954907i
\(616\) 7.59168e13 1.31492e14i 0.855922 1.48250i
\(617\) 2.92807e13 5.07157e13i 0.327458 0.567174i −0.654549 0.756020i \(-0.727141\pi\)
0.982007 + 0.188846i \(0.0604747\pi\)
\(618\) −1.70684e14 −1.89343
\(619\) −8.34977e13 + 1.44622e14i −0.918800 + 1.59141i −0.117560 + 0.993066i \(0.537507\pi\)
−0.801240 + 0.598343i \(0.795826\pi\)
\(620\) 3.84611e14 + 2.22055e14i 4.19820 + 2.42383i
\(621\) 2.74272e13 1.58351e13i 0.296978 0.171460i
\(622\) −3.55072e12 + 2.05001e12i −0.0381386 + 0.0220193i
\(623\) −8.94748e13 −0.953367
\(624\) 5.70045e14i 6.02540i
\(625\) 5.36145e13 + 9.28631e13i 0.562189 + 0.973740i
\(626\) 7.77502e12 + 1.34667e13i 0.0808779 + 0.140085i
\(627\) −8.99962e11 + 1.55878e12i −0.00928724 + 0.0160860i
\(628\) −3.83758e14 2.21563e14i −3.92879 2.26829i
\(629\) 1.49858e13i 0.152205i
\(630\) −5.44533e13 3.14386e13i −0.548683 0.316782i
\(631\) 6.45747e13 + 3.72822e13i 0.645529 + 0.372696i 0.786741 0.617283i \(-0.211767\pi\)
−0.141212 + 0.989979i \(0.545100\pi\)
\(632\) 1.84106e14 + 1.06294e14i 1.82592 + 1.05420i
\(633\) 2.36729e13 + 4.10027e13i 0.232934 + 0.403453i
\(634\) 8.93679e13i 0.872440i
\(635\) 3.45586e12 1.99524e12i 0.0334724 0.0193253i
\(636\) 1.95041e13 + 1.12607e13i 0.187431 + 0.108213i
\(637\) 1.13585e13 0.108298
\(638\) −8.26033e13 + 1.43073e14i −0.781437 + 1.35349i
\(639\) −3.40273e13 + 1.96457e13i −0.319392 + 0.184401i
\(640\) −2.02964e14 3.51544e14i −1.89025 3.27401i
\(641\) 1.34640e13i 0.124418i −0.998063 0.0622092i \(-0.980185\pi\)
0.998063 0.0622092i \(-0.0198146\pi\)
\(642\) −2.87867e13 4.98600e13i −0.263947 0.457169i
\(643\) 1.96793e14 1.79042 0.895212 0.445641i \(-0.147024\pi\)
0.895212 + 0.445641i \(0.147024\pi\)
\(644\) 9.85893e13i 0.890022i
\(645\) 4.61239e12 1.00040e14i 0.0413169 0.896136i
\(646\) 9.73897e12 0.0865666
\(647\) 2.10859e14i 1.85982i 0.367787 + 0.929910i \(0.380115\pi\)
−0.367787 + 0.929910i \(0.619885\pi\)
\(648\) −2.05193e14 + 1.18468e14i −1.79593 + 1.03688i
\(649\) 7.80384e13 0.677774
\(650\) −5.36796e13 + 3.09919e13i −0.462639 + 0.267105i
\(651\) 8.31197e13 + 1.43968e14i 0.710884 + 1.23129i
\(652\) −5.05862e14 2.92060e14i −4.29333 2.47876i
\(653\) 6.94076e13i 0.584576i −0.956330 0.292288i \(-0.905583\pi\)
0.956330 0.292288i \(-0.0944167\pi\)
\(654\) −5.75078e11 + 9.96064e11i −0.00480660 + 0.00832528i
\(655\) −1.36933e13 2.37174e13i −0.113580 0.196726i
\(656\) 5.66072e13 0.465964
\(657\) −1.47532e13 + 8.51779e12i −0.120520 + 0.0695825i
\(658\) 2.54647e13 4.41062e13i 0.206448 0.357578i
\(659\) 1.03200e14 1.78748e14i 0.830337 1.43819i −0.0674346 0.997724i \(-0.521481\pi\)
0.897771 0.440462i \(-0.145185\pi\)
\(660\) −7.60180e13 + 1.31667e14i −0.607011 + 1.05137i
\(661\) −5.40972e13 −0.428714 −0.214357 0.976755i \(-0.568766\pi\)
−0.214357 + 0.976755i \(0.568766\pi\)
\(662\) 1.61869e13 2.80366e13i 0.127314 0.220514i
\(663\) 1.75453e14 + 1.01298e14i 1.36960 + 0.790739i
\(664\) −5.51080e14 + 3.18166e14i −4.26948 + 2.46498i
\(665\) −5.57170e12 + 3.21682e12i −0.0428429 + 0.0247354i
\(666\) 1.15395e13 0.0880673
\(667\) 6.81966e13i 0.516575i
\(668\) 1.24062e14 + 2.14882e14i 0.932733 + 1.61554i
\(669\) −2.73039e13 4.72917e13i −0.203748 0.352902i
\(670\) 3.78025e13 6.54758e13i 0.279992 0.484961i
\(671\) −9.96825e13 5.75517e13i −0.732835 0.423102i
\(672\) 4.67555e14i 3.41183i
\(673\) 5.25468e13 + 3.03379e13i 0.380602 + 0.219740i 0.678080 0.734988i \(-0.262812\pi\)
−0.297478 + 0.954729i \(0.596146\pi\)
\(674\) −4.33120e14 2.50062e14i −3.11393 1.79783i
\(675\) 1.92109e13 + 1.10914e13i 0.137097 + 0.0791531i
\(676\) 5.03005e14 + 8.71230e14i 3.56319 + 6.17162i
\(677\) 8.35434e13i 0.587447i −0.955890 0.293724i \(-0.905105\pi\)
0.955890 0.293724i \(-0.0948945\pi\)
\(678\) 2.59487e14 1.49815e14i 1.81120 1.04570i
\(679\) −1.03246e14 5.96089e13i −0.715357 0.413011i
\(680\) 5.22972e14 3.59695
\(681\) 3.32142e13 5.75287e13i 0.226771 0.392780i
\(682\) −2.01118e14 + 1.16115e14i −1.36310 + 0.786987i
\(683\) 6.49813e13 + 1.12551e14i 0.437204 + 0.757260i 0.997473 0.0710509i \(-0.0226353\pi\)
−0.560268 + 0.828311i \(0.689302\pi\)
\(684\) 5.49689e12i 0.0367144i
\(685\) −5.90539e13 1.02284e14i −0.391558 0.678198i
\(686\) −2.85023e14 −1.87612
\(687\) 1.81151e14i 1.18374i
\(688\) −5.19012e14 + 2.68573e14i −3.36694 + 1.74229i
\(689\) −2.76955e13 −0.178367
\(690\) 8.56213e13i 0.547440i
\(691\) −1.33066e14 + 7.68258e13i −0.844651 + 0.487660i −0.858842 0.512240i \(-0.828816\pi\)
0.0141914 + 0.999899i \(0.495483\pi\)
\(692\) 1.12587e14 0.709508
\(693\) 2.08715e13 1.20501e13i 0.130583 0.0753921i
\(694\) 1.59384e13 + 2.76061e13i 0.0990028 + 0.171478i
\(695\) 9.82112e13 + 5.67023e13i 0.605671 + 0.349685i
\(696\) 7.57410e14i 4.63751i
\(697\) −1.00592e13 + 1.74230e13i −0.0611504 + 0.105916i
\(698\) −1.95701e14 3.38964e14i −1.18118 2.04586i
\(699\) 1.03288e14 0.618959
\(700\) −5.98035e13 + 3.45275e13i −0.355825 + 0.205435i
\(701\) −9.57729e13 + 1.65883e14i −0.565786 + 0.979971i 0.431190 + 0.902261i \(0.358094\pi\)
−0.996976 + 0.0777093i \(0.975239\pi\)
\(702\) 3.40196e14 5.89238e14i 1.99547 3.45625i
\(703\) 5.90362e11 1.02254e12i 0.00343829 0.00595529i
\(704\) 3.29986e14 1.90824
\(705\) −1.62103e13 + 2.80771e13i −0.0930777 + 0.161215i
\(706\) −2.66443e14 1.53831e14i −1.51908 0.877042i
\(707\) −1.70603e14 + 9.84975e13i −0.965804 + 0.557607i
\(708\) 4.87382e14 2.81390e14i 2.73970 1.58177i
\(709\) −2.68151e13 −0.149675 −0.0748373 0.997196i \(-0.523844\pi\)
−0.0748373 + 0.997196i \(0.523844\pi\)
\(710\) 4.63290e14i 2.56780i
\(711\) 1.68718e13 + 2.92228e13i 0.0928567 + 0.160833i
\(712\) −2.86523e14 4.96273e14i −1.56588 2.71219i
\(713\) 4.79319e13 8.30206e13i 0.260122 0.450545i
\(714\) 2.66673e14 + 1.53964e14i 1.43710 + 0.829712i
\(715\) 1.86965e14i 1.00053i
\(716\) 3.75988e14 + 2.17077e14i 1.99806 + 1.15358i
\(717\) 4.92933e13 + 2.84595e13i 0.260131 + 0.150187i
\(718\) 7.30328e13 + 4.21655e13i 0.382733 + 0.220971i
\(719\) −8.77097e13 1.51918e14i −0.456460 0.790613i 0.542311 0.840178i \(-0.317550\pi\)
−0.998771 + 0.0495656i \(0.984216\pi\)
\(720\) 2.33567e14i 1.20711i
\(721\) 2.02513e14 1.16921e14i 1.03939 0.600090i
\(722\) 3.28153e14 + 1.89459e14i 1.67260 + 0.965673i
\(723\) −1.90296e14 −0.963247
\(724\) 2.39122e14 4.14172e14i 1.20206 2.08203i
\(725\) 4.13675e13 2.38835e13i 0.206523 0.119236i
\(726\) 1.23824e14 + 2.14469e14i 0.613934 + 1.06337i
\(727\) 2.99560e14i 1.47507i 0.675312 + 0.737533i \(0.264009\pi\)
−0.675312 + 0.737533i \(0.735991\pi\)
\(728\) 6.73258e14 + 1.16612e15i 3.29249 + 5.70276i
\(729\) −2.25278e14 −1.09416
\(730\) 2.00869e14i 0.968943i
\(731\) 9.56563e12 2.07472e14i 0.0458276 0.993969i
\(732\) −8.30077e14 −3.94969
\(733\) 1.11669e13i 0.0527731i 0.999652 + 0.0263865i \(0.00840007\pi\)
−0.999652 + 0.0263865i \(0.991600\pi\)
\(734\) −3.19603e14 + 1.84523e14i −1.50014 + 0.866105i
\(735\) −1.09898e13 −0.0512332
\(736\) −2.33499e14 + 1.34811e14i −1.08117 + 0.624216i
\(737\) 1.44893e13 + 2.50963e13i 0.0666364 + 0.115418i
\(738\) 1.34162e13 + 7.74583e12i 0.0612839 + 0.0353823i
\(739\) 2.40535e14i 1.09133i −0.838004 0.545665i \(-0.816277\pi\)
0.838004 0.545665i \(-0.183723\pi\)
\(740\) 4.98667e13 8.63717e13i 0.224725 0.389236i
\(741\) −7.98120e12 1.38238e13i −0.0357254 0.0618782i
\(742\) −4.20947e13 −0.187158
\(743\) −2.11686e13 + 1.22217e13i −0.0934865 + 0.0539745i −0.546014 0.837776i \(-0.683856\pi\)
0.452528 + 0.891750i \(0.350522\pi\)
\(744\) −5.32345e14 + 9.22048e14i −2.33522 + 4.04473i
\(745\) 1.09861e14 1.90285e14i 0.478700 0.829132i
\(746\) −4.23300e13 + 7.33178e13i −0.183212 + 0.317333i
\(747\) −1.01004e14 −0.434246
\(748\) −1.57654e14 + 2.73064e14i −0.673280 + 1.16616i
\(749\) 6.83098e13 + 3.94387e13i 0.289784 + 0.167307i
\(750\) −3.04851e14 + 1.76006e14i −1.28464 + 0.741687i
\(751\) −7.44172e12 + 4.29648e12i −0.0311511 + 0.0179851i −0.515495 0.856893i \(-0.672392\pi\)
0.484344 + 0.874878i \(0.339058\pi\)
\(752\) 1.89185e14 0.786679
\(753\) 1.28331e14i 0.530100i
\(754\) −7.32557e14 1.26883e15i −3.00597 5.20649i
\(755\) −1.60687e14 2.78319e14i −0.655009 1.13451i
\(756\) 3.79007e14 6.56459e14i 1.53475 2.65827i
\(757\) −9.41582e12 5.43623e12i −0.0378773 0.0218685i 0.480942 0.876753i \(-0.340295\pi\)
−0.518819 + 0.854884i \(0.673628\pi\)
\(758\) 4.57561e14i 1.82853i
\(759\) 2.84211e13 + 1.64089e13i 0.112832 + 0.0651436i
\(760\) −3.56842e13 2.06023e13i −0.140737 0.0812546i
\(761\) 2.22486e14 + 1.28452e14i 0.871724 + 0.503290i 0.867921