Properties

Label 43.10.g.a.9.10
Level 43
Weight 10
Character 43.9
Analytic conductor 22.147
Analytic rank 0
Dimension 384
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(22.1465409550\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(32\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.10
Character \(\chi\) \(=\) 43.9
Dual form 43.10.g.a.24.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-13.7971 - 17.3010i) q^{2} +(-134.920 - 20.3359i) q^{3} +(4.96529 - 21.7544i) q^{4} +(1094.58 + 746.274i) q^{5} +(1509.67 + 2614.83i) q^{6} +(2836.01 - 4912.12i) q^{7} +(-10652.8 + 5130.13i) q^{8} +(-1018.71 - 314.231i) q^{9} +O(q^{10})\) \(q+(-13.7971 - 17.3010i) q^{2} +(-134.920 - 20.3359i) q^{3} +(4.96529 - 21.7544i) q^{4} +(1094.58 + 746.274i) q^{5} +(1509.67 + 2614.83i) q^{6} +(2836.01 - 4912.12i) q^{7} +(-10652.8 + 5130.13i) q^{8} +(-1018.71 - 314.231i) q^{9} +(-2190.77 - 29233.8i) q^{10} +(-9965.29 - 43660.8i) q^{11} +(-1112.31 + 2834.12i) q^{12} +(13395.0 - 178743. i) q^{13} +(-124114. + 18707.1i) q^{14} +(-132505. - 122947. i) q^{15} +(225442. + 108567. i) q^{16} +(-464380. + 316609. i) q^{17} +(8618.76 + 21960.2i) q^{18} +(550255. - 169731. i) q^{19} +(21669.6 - 20106.5i) q^{20} +(-482527. + 605070. i) q^{21} +(-617884. + 774803. i) q^{22} +(-325155. + 301700. i) q^{23} +(1.54160e6 - 475522. i) q^{24} +(-72370.0 - 184396. i) q^{25} +(-3.27726e6 + 2.23439e6i) q^{26} +(2.55072e6 + 1.22836e6i) q^{27} +(-92778.4 - 86085.8i) q^{28} +(-2.60987e6 + 393375. i) q^{29} +(-298918. + 3.98878e6i) q^{30} +(-151518. + 386062. i) q^{31} +(114965. + 503694. i) q^{32} +(456634. + 6.09336e6i) q^{33} +(1.18848e7 + 3.66596e6i) q^{34} +(6.77004e6 - 3.26028e6i) q^{35} +(-11894.1 + 20601.2i) q^{36} +(5.74946e6 + 9.95836e6i) q^{37} +(-1.05285e7 - 7.17818e6i) q^{38} +(-5.44215e6 + 2.38436e7i) q^{39} +(-1.54889e7 - 2.33457e6i) q^{40} +(-2.46353e6 - 3.08917e6i) q^{41} +1.71258e7 q^{42} +(-2.17577e7 + 5.40305e6i) q^{43} -999293. q^{44} +(-880562. - 1.10419e6i) q^{45} +(9.70593e6 + 1.46293e6i) q^{46} +(-1.22651e7 + 5.37367e7i) q^{47} +(-2.82088e7 - 1.92324e7i) q^{48} +(4.09086e6 + 7.08557e6i) q^{49} +(-2.19174e6 + 3.79621e6i) q^{50} +(6.90926e7 - 3.32732e7i) q^{51} +(-3.82194e6 - 1.17891e6i) q^{52} +(-5.60780e6 - 7.48309e7i) q^{53} +(-1.39406e7 - 6.10779e7i) q^{54} +(2.16751e7 - 5.52272e7i) q^{55} +(-5.01175e6 + 6.68771e7i) q^{56} +(-7.76920e7 + 1.17102e7i) q^{57} +(4.28145e7 + 3.97260e7i) q^{58} +(-1.36078e8 - 6.55316e7i) q^{59} +(-3.33255e6 + 2.27209e6i) q^{60} +(1.18382e7 + 3.01633e7i) q^{61} +(8.76980e6 - 2.70512e6i) q^{62} +(-4.43262e6 + 4.11287e6i) q^{63} +(8.70056e7 - 1.09102e8i) q^{64} +(1.48053e8 - 1.85653e8i) q^{65} +(9.91212e7 - 9.19710e7i) q^{66} +(-2.32665e6 + 717678. i) q^{67} +(4.58184e6 + 1.16743e7i) q^{68} +(5.00053e7 - 3.40930e7i) q^{69} +(-1.49813e8 - 7.21462e7i) q^{70} +(1.42043e8 + 1.31796e8i) q^{71} +(1.24642e7 - 1.87868e6i) q^{72} +(-1.72801e7 + 2.30588e8i) q^{73} +(9.29640e7 - 2.36868e8i) q^{74} +(6.01430e6 + 2.63504e7i) q^{75} +(-960217. - 1.28132e7i) q^{76} +(-2.42729e8 - 7.48719e7i) q^{77} +(4.87605e8 - 2.34818e8i) q^{78} +(-2.77434e8 + 4.80529e8i) q^{79} +(1.65744e8 + 2.87077e8i) q^{80} +(-3.01825e8 - 2.05781e8i) q^{81} +(-1.94562e7 + 8.52433e7i) q^{82} +(2.03371e8 + 3.06532e7i) q^{83} +(1.07670e7 + 1.35014e7i) q^{84} -7.44579e8 q^{85} +(3.93673e8 + 3.01885e8i) q^{86} +3.60123e8 q^{87} +(3.30144e8 + 4.13988e8i) q^{88} +(-1.13382e9 - 1.70896e8i) q^{89} +(-6.95441e6 + 3.04693e7i) q^{90} +(-8.40020e8 - 5.72716e8i) q^{91} +(4.94880e6 + 8.57157e6i) q^{92} +(2.82938e7 - 4.90062e7i) q^{93} +(1.09892e9 - 5.29213e8i) q^{94} +(7.28965e8 + 2.24856e8i) q^{95} +(-5.26798e6 - 7.02963e7i) q^{96} +(-7.49528e7 - 3.28390e8i) q^{97} +(6.61457e7 - 1.68537e8i) q^{98} +(-3.56781e6 + 4.76091e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + O(q^{10}) \) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + 6223q^{10} + 180668q^{11} - 270774q^{12} + 11245q^{13} - 271206q^{14} - 835123q^{15} - 6169448q^{16} - 65194q^{17} - 466218q^{18} - 1417919q^{19} + 5877261q^{20} + 3242929q^{21} - 4296822q^{22} - 2544899q^{23} - 6043976q^{24} + 9428207q^{25} - 11482629q^{26} + 20117988q^{27} + 7310292q^{28} - 5289921q^{29} + 23977480q^{30} - 47539873q^{31} + 18747558q^{32} - 68064193q^{33} - 73743233q^{34} - 15006505q^{35} - 203628199q^{36} + 62563960q^{37} + 108303102q^{38} + 70931426q^{39} + 14772713q^{40} - 35636128q^{41} + 29601006q^{42} - 207110915q^{43} + 367809332q^{44} + 122079484q^{45} + 164249271q^{46} + 25529106q^{47} + 191670995q^{48} - 815972056q^{49} - 210640197q^{50} - 392161947q^{51} - 873472922q^{52} + 87568125q^{53} + 627150582q^{54} + 628156420q^{55} + 725546751q^{56} - 402646583q^{57} - 677654606q^{58} + 552834314q^{59} + 990764675q^{60} + 376844345q^{61} + 76529685q^{62} - 505887225q^{63} + 621236102q^{64} + 8885906q^{65} + 895281647q^{66} + 789662056q^{67} - 2265959151q^{68} - 2055955619q^{69} + 3236566615q^{70} + 635670789q^{71} - 1964730073q^{72} + 1333013552q^{73} - 5184014638q^{74} + 720042326q^{75} + 477329288q^{76} + 2282266995q^{77} + 5133145036q^{78} + 2903853142q^{79} + 6779574014q^{80} + 3699743739q^{81} - 1268184088q^{82} - 3074947634q^{83} - 1313116801q^{84} + 1946616146q^{85} - 10088814540q^{86} - 6085081326q^{87} - 8012630430q^{88} - 1632065068q^{89} + 3316166089q^{90} + 5386571784q^{91} + 2280339030q^{92} + 2459095364q^{93} - 5048567488q^{94} - 1597173221q^{95} - 10288936616q^{96} - 4337315288q^{97} - 14989446392q^{98} - 5338096561q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −13.7971 17.3010i −0.609752 0.764605i 0.377110 0.926168i \(-0.376918\pi\)
−0.986862 + 0.161563i \(0.948346\pi\)
\(3\) −134.920 20.3359i −0.961679 0.144950i −0.350605 0.936523i \(-0.614024\pi\)
−0.611074 + 0.791573i \(0.709262\pi\)
\(4\) 4.96529 21.7544i 0.00969783 0.0424890i
\(5\) 1094.58 + 746.274i 0.783220 + 0.533990i 0.887637 0.460543i \(-0.152345\pi\)
−0.104418 + 0.994534i \(0.533298\pi\)
\(6\) 1509.67 + 2614.83i 0.475557 + 0.823688i
\(7\) 2836.01 4912.12i 0.446444 0.773264i −0.551707 0.834038i \(-0.686023\pi\)
0.998152 + 0.0607738i \(0.0193568\pi\)
\(8\) −10652.8 + 5130.13i −0.919518 + 0.442816i
\(9\) −1018.71 314.231i −0.0517559 0.0159646i
\(10\) −2190.77 29233.8i −0.0692783 0.924455i
\(11\) −9965.29 43660.8i −0.205221 0.899134i −0.967697 0.252117i \(-0.918873\pi\)
0.762475 0.647017i \(-0.223984\pi\)
\(12\) −1112.31 + 2834.12i −0.0154850 + 0.0394551i
\(13\) 13395.0 178743.i 0.130076 1.73574i −0.426101 0.904676i \(-0.640113\pi\)
0.556177 0.831064i \(-0.312268\pi\)
\(14\) −124114. + 18707.1i −0.863462 + 0.130146i
\(15\) −132505. 122947.i −0.675804 0.627055i
\(16\) 225442. + 108567.i 0.859992 + 0.414150i
\(17\) −464380. + 316609.i −1.34851 + 0.919396i −0.999841 0.0178509i \(-0.994318\pi\)
−0.348666 + 0.937247i \(0.613365\pi\)
\(18\) 8618.76 + 21960.2i 0.0193517 + 0.0493073i
\(19\) 550255. 169731.i 0.968663 0.298793i 0.230242 0.973133i \(-0.426048\pi\)
0.738421 + 0.674340i \(0.235572\pi\)
\(20\) 21669.6 20106.5i 0.0302842 0.0280997i
\(21\) −482527. + 605070.i −0.541421 + 0.678920i
\(22\) −617884. + 774803.i −0.562348 + 0.705162i
\(23\) −325155. + 301700.i −0.242279 + 0.224802i −0.791961 0.610572i \(-0.790939\pi\)
0.549682 + 0.835374i \(0.314749\pi\)
\(24\) 1.54160e6 475522.i 0.948468 0.292564i
\(25\) −72370.0 184396.i −0.0370534 0.0944106i
\(26\) −3.27726e6 + 2.23439e6i −1.40647 + 0.958914i
\(27\) 2.55072e6 + 1.22836e6i 0.923689 + 0.444825i
\(28\) −92778.4 86085.8i −0.0285257 0.0264679i
\(29\) −2.60987e6 + 393375.i −0.685217 + 0.103280i −0.482419 0.875941i \(-0.660242\pi\)
−0.202798 + 0.979221i \(0.565004\pi\)
\(30\) −298918. + 3.98878e6i −0.0673761 + 0.899071i
\(31\) −151518. + 386062.i −0.0294671 + 0.0750810i −0.944850 0.327503i \(-0.893793\pi\)
0.915383 + 0.402584i \(0.131888\pi\)
\(32\) 114965. + 503694.i 0.0193816 + 0.0849165i
\(33\) 456634. + 6.09336e6i 0.0670279 + 0.894425i
\(34\) 1.18848e7 + 3.66596e6i 1.52523 + 0.470471i
\(35\) 6.77004e6 3.26028e6i 0.762579 0.367239i
\(36\) −11894.1 + 20601.2i −0.00118024 + 0.00204423i
\(37\) 5.74946e6 + 9.95836e6i 0.504336 + 0.873535i 0.999987 + 0.00501348i \(0.00159585\pi\)
−0.495652 + 0.868521i \(0.665071\pi\)
\(38\) −1.05285e7 7.17818e6i −0.819103 0.558455i
\(39\) −5.44215e6 + 2.38436e7i −0.376686 + 1.65037i
\(40\) −1.54889e7 2.33457e6i −0.956644 0.144191i
\(41\) −2.46353e6 3.08917e6i −0.136154 0.170732i 0.709080 0.705128i \(-0.249110\pi\)
−0.845234 + 0.534396i \(0.820539\pi\)
\(42\) 1.71258e7 0.849238
\(43\) −2.17577e7 + 5.40305e6i −0.970523 + 0.241008i
\(44\) −999293. −0.0401935
\(45\) −880562. 1.10419e6i −0.0320113 0.0401409i
\(46\) 9.70593e6 + 1.46293e6i 0.319615 + 0.0481742i
\(47\) −1.22651e7 + 5.37367e7i −0.366631 + 1.60631i 0.369335 + 0.929296i \(0.379585\pi\)
−0.735966 + 0.677019i \(0.763272\pi\)
\(48\) −2.82088e7 1.92324e7i −0.767005 0.522935i
\(49\) 4.09086e6 + 7.08557e6i 0.101375 + 0.175587i
\(50\) −2.19174e6 + 3.79621e6i −0.0495934 + 0.0858983i
\(51\) 6.90926e7 3.32732e7i 1.43010 0.688699i
\(52\) −3.82194e6 1.17891e6i −0.0724884 0.0223597i
\(53\) −5.60780e6 7.48309e7i −0.0976228 1.30269i −0.803906 0.594756i \(-0.797249\pi\)
0.706283 0.707929i \(-0.250370\pi\)
\(54\) −1.39406e7 6.10779e7i −0.223106 0.977490i
\(55\) 2.16751e7 5.52272e7i 0.319395 0.813806i
\(56\) −5.01175e6 + 6.68771e7i −0.0680994 + 0.908723i
\(57\) −7.76920e7 + 1.17102e7i −0.974853 + 0.146935i
\(58\) 4.28145e7 + 3.97260e7i 0.496781 + 0.460945i
\(59\) −1.36078e8 6.55316e7i −1.46202 0.704072i −0.477384 0.878695i \(-0.658415\pi\)
−0.984635 + 0.174623i \(0.944129\pi\)
\(60\) −3.33255e6 + 2.27209e6i −0.0331968 + 0.0226332i
\(61\) 1.18382e7 + 3.01633e7i 0.109472 + 0.278930i 0.975103 0.221752i \(-0.0711777\pi\)
−0.865631 + 0.500682i \(0.833082\pi\)
\(62\) 8.76980e6 2.70512e6i 0.0753749 0.0232501i
\(63\) −4.43262e6 + 4.11287e6i −0.0354510 + 0.0328937i
\(64\) 8.70056e7 1.09102e8i 0.648242 0.812870i
\(65\) 1.48053e8 1.85653e8i 1.02875 1.29001i
\(66\) 9.91212e7 9.19710e7i 0.643012 0.596628i
\(67\) −2.32665e6 + 717678.i −0.0141057 + 0.00435104i −0.301800 0.953371i \(-0.597587\pi\)
0.287694 + 0.957722i \(0.407111\pi\)
\(68\) 4.58184e6 + 1.16743e7i 0.0259866 + 0.0662128i
\(69\) 5.00053e7 3.40930e7i 0.265580 0.181069i
\(70\) −1.49813e8 7.21462e7i −0.745777 0.359147i
\(71\) 1.42043e8 + 1.31796e8i 0.663370 + 0.615517i 0.938249 0.345962i \(-0.112447\pi\)
−0.274879 + 0.961479i \(0.588638\pi\)
\(72\) 1.24642e7 1.87868e6i 0.0546599 0.00823865i
\(73\) −1.72801e7 + 2.30588e8i −0.0712188 + 0.950349i 0.841103 + 0.540875i \(0.181907\pi\)
−0.912322 + 0.409474i \(0.865712\pi\)
\(74\) 9.29640e7 2.36868e8i 0.360389 0.918257i
\(75\) 6.01430e6 + 2.63504e7i 0.0219487 + 0.0961637i
\(76\) −960217. 1.28132e7i −0.00330148 0.0440551i
\(77\) −2.42729e8 7.48719e7i −0.786888 0.242723i
\(78\) 4.87605e8 2.34818e8i 1.49157 0.718301i
\(79\) −2.77434e8 + 4.80529e8i −0.801378 + 1.38803i 0.117332 + 0.993093i \(0.462566\pi\)
−0.918710 + 0.394934i \(0.870767\pi\)
\(80\) 1.65744e8 + 2.87077e8i 0.452410 + 0.783598i
\(81\) −3.01825e8 2.05781e8i −0.779064 0.531157i
\(82\) −1.94562e7 + 8.52433e7i −0.0475222 + 0.208208i
\(83\) 2.03371e8 + 3.06532e7i 0.470368 + 0.0708965i 0.379949 0.925007i \(-0.375941\pi\)
0.0904184 + 0.995904i \(0.471180\pi\)
\(84\) 1.07670e7 + 1.35014e7i 0.0235960 + 0.0295885i
\(85\) −7.44579e8 −1.54713
\(86\) 3.93673e8 + 3.01885e8i 0.776054 + 0.595112i
\(87\) 3.60123e8 0.673929
\(88\) 3.30144e8 + 4.13988e8i 0.586856 + 0.735894i
\(89\) −1.13382e9 1.70896e8i −1.91554 0.288720i −0.920704 0.390262i \(-0.872384\pi\)
−0.994831 + 0.101542i \(0.967622\pi\)
\(90\) −6.95441e6 + 3.04693e7i −0.0111730 + 0.0489520i
\(91\) −8.40020e8 5.72716e8i −1.28411 0.875494i
\(92\) 4.94880e6 + 8.57157e6i 0.00720203 + 0.0124743i
\(93\) 2.82938e7 4.90062e7i 0.0392209 0.0679326i
\(94\) 1.09892e9 5.29213e8i 1.45175 0.699126i
\(95\) 7.28965e8 + 2.24856e8i 0.918228 + 0.283236i
\(96\) −5.26798e6 7.02963e7i −0.00633029 0.0844719i
\(97\) −7.49528e7 3.28390e8i −0.0859637 0.376632i 0.913586 0.406646i \(-0.133302\pi\)
−0.999549 + 0.0300145i \(0.990445\pi\)
\(98\) 6.61457e7 1.68537e8i 0.0724410 0.184577i
\(99\) −3.56781e6 + 4.76091e7i −0.00373288 + 0.0498118i
\(100\) −4.37075e6 + 658785.i −0.00437075 + 0.000658785i
\(101\) −7.57340e7 7.02709e7i −0.0724177 0.0671938i 0.643134 0.765754i \(-0.277634\pi\)
−0.715551 + 0.698560i \(0.753824\pi\)
\(102\) −1.52894e9 7.36299e8i −1.39859 0.673524i
\(103\) −5.52472e7 + 3.76669e7i −0.0483663 + 0.0329756i −0.587262 0.809397i \(-0.699794\pi\)
0.538896 + 0.842373i \(0.318842\pi\)
\(104\) 7.74283e8 + 1.97284e9i 0.649007 + 1.65364i
\(105\) −9.79714e8 + 3.02202e8i −0.786588 + 0.242630i
\(106\) −1.21728e9 + 1.12947e9i −0.936514 + 0.868958i
\(107\) −1.65067e9 + 2.06988e9i −1.21740 + 1.52657i −0.439426 + 0.898279i \(0.644818\pi\)
−0.777975 + 0.628295i \(0.783753\pi\)
\(108\) 3.93873e7 4.93901e7i 0.0278579 0.0349327i
\(109\) 1.81574e9 1.68476e9i 1.23207 1.14319i 0.247369 0.968921i \(-0.420434\pi\)
0.984698 0.174270i \(-0.0557565\pi\)
\(110\) −1.25454e9 + 3.86974e8i −0.816992 + 0.252009i
\(111\) −5.73205e8 1.46050e9i −0.358390 0.913164i
\(112\) 1.17265e9 7.99499e8i 0.704186 0.480106i
\(113\) 2.56672e9 + 1.23607e9i 1.48090 + 0.713164i 0.987643 0.156720i \(-0.0500919\pi\)
0.493257 + 0.869884i \(0.335806\pi\)
\(114\) 1.27452e9 + 1.18258e9i 0.706766 + 0.655783i
\(115\) −5.81060e8 + 8.75807e7i −0.309800 + 0.0466948i
\(116\) −4.40115e6 + 5.87293e7i −0.00225686 + 0.0301158i
\(117\) −6.98122e7 + 1.77879e8i −0.0344425 + 0.0877582i
\(118\) 7.43716e8 + 3.25843e9i 0.353133 + 1.54718i
\(119\) 2.38233e8 + 3.17900e9i 0.108903 + 1.45321i
\(120\) 2.04228e9 + 6.29961e8i 0.899085 + 0.277331i
\(121\) 3.17481e8 1.52891e8i 0.134643 0.0648406i
\(122\) 3.58524e8 6.20981e8i 0.146521 0.253781i
\(123\) 2.69558e8 + 4.66889e8i 0.106189 + 0.183925i
\(124\) 7.64621e6 + 5.21310e6i 0.00290435 + 0.00198015i
\(125\) 6.34158e8 2.77843e9i 0.232328 1.01790i
\(126\) 1.32314e8 + 1.99432e7i 0.0467670 + 0.00704899i
\(127\) −1.42862e9 1.79144e9i −0.487305 0.611062i 0.476008 0.879441i \(-0.342083\pi\)
−0.963313 + 0.268379i \(0.913512\pi\)
\(128\) −2.82347e9 −0.929692
\(129\) 3.04543e9 2.86516e8i 0.968266 0.0910950i
\(130\) −5.25470e9 −1.61363
\(131\) −5.57508e8 6.99093e8i −0.165398 0.207403i 0.692225 0.721682i \(-0.256631\pi\)
−0.857623 + 0.514280i \(0.828059\pi\)
\(132\) 1.34824e8 + 2.03215e7i 0.0386532 + 0.00582604i
\(133\) 7.26791e8 3.18428e9i 0.201408 0.882427i
\(134\) 4.45177e7 + 3.03516e7i 0.0119278 + 0.00813225i
\(135\) 1.87528e9 + 3.24808e9i 0.485919 + 0.841636i
\(136\) 3.32271e9 5.75511e9i 0.832852 1.44254i
\(137\) −1.88416e9 + 9.07365e8i −0.456957 + 0.220059i −0.648179 0.761488i \(-0.724469\pi\)
0.191222 + 0.981547i \(0.438755\pi\)
\(138\) −1.27977e9 3.94758e8i −0.300384 0.0926562i
\(139\) −3.42605e8 4.57174e9i −0.0778443 1.03876i −0.890192 0.455586i \(-0.849430\pi\)
0.812347 0.583174i \(-0.198189\pi\)
\(140\) −3.73101e7 1.63466e8i −0.00820824 0.0359626i
\(141\) 2.74758e9 7.00073e9i 0.585416 1.49162i
\(142\) 3.20434e8 4.27589e9i 0.0661364 0.882529i
\(143\) −7.93755e9 + 1.19639e9i −1.58736 + 0.239256i
\(144\) −1.95545e8 1.81439e8i −0.0378979 0.0351641i
\(145\) −3.15028e9 1.51710e9i −0.591826 0.285008i
\(146\) 4.22782e9 2.88248e9i 0.770067 0.525023i
\(147\) −4.07847e8 1.03918e9i −0.0720392 0.183553i
\(148\) 2.45186e8 7.56297e7i 0.0420066 0.0129573i
\(149\) 3.93847e9 3.65437e9i 0.654620 0.607399i −0.281296 0.959621i \(-0.590764\pi\)
0.935916 + 0.352222i \(0.114574\pi\)
\(150\) 3.72909e8 4.67613e8i 0.0601439 0.0754181i
\(151\) 2.63946e9 3.30977e9i 0.413160 0.518086i −0.531090 0.847315i \(-0.678217\pi\)
0.944250 + 0.329229i \(0.106789\pi\)
\(152\) −4.99103e9 + 4.63100e9i −0.758392 + 0.703685i
\(153\) 5.72557e8 1.76610e8i 0.0844709 0.0260558i
\(154\) 2.05359e9 + 5.23247e9i 0.294219 + 0.749659i
\(155\) −4.53958e8 + 3.09503e8i −0.0631717 + 0.0430697i
\(156\) 4.91681e8 + 2.36781e8i 0.0664695 + 0.0320100i
\(157\) −6.64522e9 6.16587e9i −0.872893 0.809927i 0.110033 0.993928i \(-0.464904\pi\)
−0.982926 + 0.184001i \(0.941095\pi\)
\(158\) 1.21414e10 1.83003e9i 1.54993 0.233615i
\(159\) −7.65150e8 + 1.02102e10i −0.0949422 + 1.26692i
\(160\) −2.50055e8 + 6.37131e8i −0.0301645 + 0.0768579i
\(161\) 5.59842e8 + 2.45283e9i 0.0656673 + 0.287707i
\(162\) 6.04094e8 + 8.06108e9i 0.0689108 + 0.919550i
\(163\) −6.31846e8 1.94899e8i −0.0701080 0.0216254i 0.259503 0.965742i \(-0.416441\pi\)
−0.329611 + 0.944117i \(0.606918\pi\)
\(164\) −7.94351e7 + 3.82539e7i −0.00857462 + 0.00412932i
\(165\) −4.04749e9 + 7.01046e9i −0.425117 + 0.736324i
\(166\) −2.27560e9 3.94145e9i −0.232600 0.402875i
\(167\) −3.87399e9 2.64124e9i −0.385420 0.262775i 0.355073 0.934838i \(-0.384456\pi\)
−0.740494 + 0.672063i \(0.765408\pi\)
\(168\) 2.03619e9 8.92114e9i 0.197209 0.864029i
\(169\) −2.12837e10 3.20800e9i −2.00704 0.302513i
\(170\) 1.02730e10 + 1.28820e10i 0.943363 + 1.18294i
\(171\) −6.13886e8 −0.0549041
\(172\) 9.50637e6 + 5.00154e8i 0.000828203 + 0.0435738i
\(173\) 1.84516e9 0.156612 0.0783061 0.996929i \(-0.475049\pi\)
0.0783061 + 0.996929i \(0.475049\pi\)
\(174\) −4.96866e9 6.23050e9i −0.410930 0.515290i
\(175\) −1.11102e9 1.67459e8i −0.0895466 0.0134970i
\(176\) 2.49353e9 1.09249e10i 0.195888 0.858240i
\(177\) 1.70270e10 + 1.16088e10i 1.30394 + 0.889011i
\(178\) 1.26868e10 + 2.19742e10i 0.947244 + 1.64068i
\(179\) −4.98343e8 + 8.63155e8i −0.0362819 + 0.0628420i −0.883596 0.468250i \(-0.844885\pi\)
0.847314 + 0.531092i \(0.178218\pi\)
\(180\) −2.83932e7 + 1.36734e7i −0.00201599 + 0.000970848i
\(181\) −1.07604e9 3.31913e8i −0.0745200 0.0229864i 0.257271 0.966339i \(-0.417177\pi\)
−0.331791 + 0.943353i \(0.607653\pi\)
\(182\) 1.68127e9 + 2.24350e10i 0.113584 + 1.51567i
\(183\) −9.83815e8 4.31038e9i −0.0648461 0.284109i
\(184\) 1.91606e9 4.88205e9i 0.123234 0.313995i
\(185\) −1.13840e9 + 1.51909e10i −0.0714534 + 0.953480i
\(186\) −1.23823e9 + 1.86633e8i −0.0758566 + 0.0114335i
\(187\) 1.84511e10 + 1.71201e10i 1.10340 + 1.02381i
\(188\) 1.10811e9 + 5.33637e8i 0.0646952 + 0.0311555i
\(189\) 1.32677e10 9.04578e9i 0.756342 0.515666i
\(190\) −6.16738e9 1.57142e10i −0.343328 0.874786i
\(191\) −3.26187e9 + 1.00615e9i −0.177344 + 0.0547033i −0.382155 0.924098i \(-0.624818\pi\)
0.204811 + 0.978801i \(0.434342\pi\)
\(192\) −1.39575e10 + 1.29506e10i −0.741227 + 0.687758i
\(193\) 2.91258e8 3.65226e8i 0.0151102 0.0189476i −0.774219 0.632918i \(-0.781857\pi\)
0.789329 + 0.613970i \(0.210429\pi\)
\(194\) −4.64735e9 + 5.82759e9i −0.235558 + 0.295380i
\(195\) −2.37508e10 + 2.20375e10i −1.17631 + 1.09146i
\(196\) 1.74454e8 5.38121e7i 0.00844364 0.00260452i
\(197\) −1.05245e10 2.68159e10i −0.497853 1.26851i −0.930283 0.366842i \(-0.880439\pi\)
0.432430 0.901668i \(-0.357656\pi\)
\(198\) 8.72913e8 5.95142e8i 0.0403624 0.0275187i
\(199\) −9.92428e9 4.77928e9i −0.448601 0.216035i 0.195922 0.980619i \(-0.437230\pi\)
−0.644523 + 0.764585i \(0.722944\pi\)
\(200\) 1.71692e9 + 1.59307e9i 0.0758779 + 0.0704044i
\(201\) 3.28507e8 4.95144e7i 0.0141959 0.00213968i
\(202\) −1.70848e8 + 2.27981e9i −0.00721987 + 0.0963425i
\(203\) −5.46933e9 + 1.39356e10i −0.226048 + 0.575962i
\(204\) −3.80773e8 1.66828e9i −0.0153933 0.0674423i
\(205\) −3.91172e8 5.21982e9i −0.0154695 0.206426i
\(206\) 1.41393e9 + 4.36139e8i 0.0547048 + 0.0168742i
\(207\) 4.26043e8 2.05171e8i 0.0161282 0.00776695i
\(208\) 2.24254e10 3.88419e10i 0.830721 1.43885i
\(209\) −1.28940e10 2.23331e10i −0.467445 0.809639i
\(210\) 1.87456e10 + 1.27805e10i 0.665140 + 0.453485i
\(211\) 6.43178e8 2.81795e9i 0.0223388 0.0978727i −0.962530 0.271177i \(-0.912587\pi\)
0.984868 + 0.173304i \(0.0554443\pi\)
\(212\) −1.65574e9 2.49563e8i −0.0562965 0.00848533i
\(213\) −1.64842e10 2.06705e10i −0.548730 0.688086i
\(214\) 5.85855e10 1.90954
\(215\) −2.78478e10 1.03232e10i −0.888829 0.329488i
\(216\) −3.34740e10 −1.04632
\(217\) 1.46668e9 + 1.83915e9i 0.0449020 + 0.0563053i
\(218\) −5.42001e10 8.16935e9i −1.62535 0.244981i
\(219\) 7.02064e9 3.07594e10i 0.206243 0.903608i
\(220\) −1.09381e9 7.45746e8i −0.0314803 0.0214629i
\(221\) 5.03713e10 + 8.72457e10i 1.42042 + 2.46025i
\(222\) −1.73596e10 + 3.00677e10i −0.479680 + 0.830831i
\(223\) −3.32795e10 + 1.60266e10i −0.901167 + 0.433979i −0.826310 0.563215i \(-0.809564\pi\)
−0.0748570 + 0.997194i \(0.523850\pi\)
\(224\) 2.80025e9 + 8.63763e8i 0.0743157 + 0.0229234i
\(225\) 1.57813e7 + 2.10587e8i 0.000410508 + 0.00547785i
\(226\) −1.40281e10 6.14611e10i −0.357693 1.56716i
\(227\) 7.84121e9 1.99791e10i 0.196005 0.499412i −0.798754 0.601657i \(-0.794507\pi\)
0.994759 + 0.102245i \(0.0326026\pi\)
\(228\) −1.31016e8 + 1.74828e9i −0.00321082 + 0.0428455i
\(229\) 2.27738e9 3.43259e8i 0.0547236 0.00824826i −0.121623 0.992576i \(-0.538810\pi\)
0.176347 + 0.984328i \(0.443572\pi\)
\(230\) 9.53219e9 + 8.84458e9i 0.224604 + 0.208402i
\(231\) 3.12263e10 + 1.50378e10i 0.721551 + 0.347481i
\(232\) 2.57845e10 1.75795e10i 0.584335 0.398393i
\(233\) 1.52410e10 + 3.88334e10i 0.338775 + 0.863186i 0.994163 + 0.107893i \(0.0344103\pi\)
−0.655387 + 0.755293i \(0.727494\pi\)
\(234\) 4.04069e9 1.24639e9i 0.0881017 0.0271758i
\(235\) −5.35274e10 + 4.96662e10i −1.14491 + 1.06232i
\(236\) −2.10126e9 + 2.63490e9i −0.0440937 + 0.0552918i
\(237\) 4.72033e10 5.91911e10i 0.971863 1.21868i
\(238\) 5.17130e10 4.79826e10i 1.04473 0.969366i
\(239\) 5.04068e10 1.55484e10i 0.999305 0.308245i 0.248402 0.968657i \(-0.420095\pi\)
0.750903 + 0.660412i \(0.229618\pi\)
\(240\) −1.65242e10 4.21029e10i −0.321491 0.819147i
\(241\) 1.14039e10 7.77506e9i 0.217760 0.148466i −0.449528 0.893266i \(-0.648408\pi\)
0.667287 + 0.744800i \(0.267455\pi\)
\(242\) −7.02549e9 3.38330e9i −0.131676 0.0634120i
\(243\) −4.31124e9 4.00025e9i −0.0793184 0.0735967i
\(244\) 7.14965e8 1.07764e8i 0.0129131 0.00194634i
\(245\) −8.09996e8 + 1.08086e10i −0.0143627 + 0.191657i
\(246\) 4.35853e9 1.11054e10i 0.0758809 0.193341i
\(247\) −2.29677e10 1.00628e11i −0.392627 1.72021i
\(248\) −3.66452e8 4.88997e9i −0.00615156 0.0820868i
\(249\) −2.68154e10 8.27146e9i −0.442066 0.136359i
\(250\) −5.68192e10 + 2.73627e10i −0.919952 + 0.443026i
\(251\) 1.07620e10 1.86404e10i 0.171144 0.296431i −0.767676 0.640838i \(-0.778587\pi\)
0.938820 + 0.344408i \(0.111920\pi\)
\(252\) 6.74636e7 + 1.16850e8i 0.00105382 + 0.00182527i
\(253\) 1.64127e10 + 1.11900e10i 0.251848 + 0.171707i
\(254\) −1.12828e10 + 4.94334e10i −0.170085 + 0.745192i
\(255\) 1.00458e11 + 1.51417e10i 1.48784 + 0.224256i
\(256\) −5.59109e9 7.01101e9i −0.0813611 0.102024i
\(257\) −7.23540e10 −1.03458 −0.517289 0.855811i \(-0.673059\pi\)
−0.517289 + 0.855811i \(0.673059\pi\)
\(258\) −4.69752e10 4.87360e10i −0.660054 0.684796i
\(259\) 6.52222e10 0.900631
\(260\) −3.30363e9 4.14263e9i −0.0448345 0.0562206i
\(261\) 2.78232e9 + 4.19367e8i 0.0371128 + 0.00559386i
\(262\) −4.40303e9 + 1.92909e10i −0.0577293 + 0.252928i
\(263\) −2.26116e10 1.54163e10i −0.291427 0.198691i 0.408777 0.912634i \(-0.365955\pi\)
−0.700204 + 0.713943i \(0.746908\pi\)
\(264\) −3.61242e10 6.25690e10i −0.457700 0.792759i
\(265\) 4.97061e10 8.60936e10i 0.619161 1.07242i
\(266\) −6.51189e10 + 3.13596e10i −0.797517 + 0.384064i
\(267\) 1.49500e11 + 4.61146e10i 1.80028 + 0.555313i
\(268\) 4.06011e6 + 5.41783e7i 4.80763e−5 + 0.000641533i
\(269\) 2.18283e10 + 9.56360e10i 0.254176 + 1.11362i 0.927368 + 0.374150i \(0.122066\pi\)
−0.673192 + 0.739468i \(0.735077\pi\)
\(270\) 3.03217e10 7.72584e10i 0.347229 0.884725i
\(271\) −1.10846e10 + 1.47914e11i −0.124842 + 1.66590i 0.485862 + 0.874036i \(0.338506\pi\)
−0.610703 + 0.791860i \(0.709113\pi\)
\(272\) −1.39064e11 + 2.09605e10i −1.54047 + 0.232189i
\(273\) 1.01689e11 + 9.43533e10i 1.10800 + 1.02808i
\(274\) 4.16944e10 + 2.00789e10i 0.446889 + 0.215210i
\(275\) −7.32967e9 + 4.99729e9i −0.0772836 + 0.0526911i
\(276\) −4.93381e8 1.25711e9i −0.00511790 0.0130402i
\(277\) −9.06751e10 + 2.79696e10i −0.925399 + 0.285448i −0.720596 0.693355i \(-0.756132\pi\)
−0.204803 + 0.978803i \(0.565655\pi\)
\(278\) −7.43689e10 + 6.90043e10i −0.746775 + 0.692906i
\(279\) 2.75666e8 3.45674e8i 0.00272373 0.00341545i
\(280\) −5.53944e10 + 6.94624e10i −0.538586 + 0.675365i
\(281\) 1.26824e11 1.17675e11i 1.21345 1.12592i 0.225003 0.974358i \(-0.427761\pi\)
0.988448 0.151560i \(-0.0484297\pi\)
\(282\) −1.59029e11 + 4.90538e10i −1.49746 + 0.461904i
\(283\) 1.97599e10 + 5.03474e10i 0.183124 + 0.466593i 0.992727 0.120385i \(-0.0384128\pi\)
−0.809603 + 0.586978i \(0.800318\pi\)
\(284\) 3.57242e9 2.43564e9i 0.0325860 0.0222167i
\(285\) −9.37793e10 4.51617e10i −0.841986 0.405479i
\(286\) 1.30214e11 + 1.20821e11i 1.15083 + 1.06781i
\(287\) −2.21610e10 + 3.34023e9i −0.192806 + 0.0290608i
\(288\) 4.11602e7 5.49245e8i 0.000352542 0.00470435i
\(289\) 7.20824e10 1.83663e11i 0.607840 1.54875i
\(290\) 1.72175e10 + 7.54348e10i 0.142948 + 0.626297i
\(291\) 3.43452e9 + 4.58305e10i 0.0280768 + 0.374659i
\(292\) 4.93048e9 + 1.52085e9i 0.0396887 + 0.0122423i
\(293\) −6.35639e10 + 3.06107e10i −0.503855 + 0.242644i −0.668504 0.743708i \(-0.733065\pi\)
0.164649 + 0.986352i \(0.447351\pi\)
\(294\) −1.23517e10 + 2.13938e10i −0.0964194 + 0.167003i
\(295\) −1.00044e11 1.73281e11i −0.769115 1.33215i
\(296\) −1.12336e11 7.65893e10i −0.850561 0.579903i
\(297\) 2.82126e10 1.23607e11i 0.210396 0.921807i
\(298\) −1.17564e11 1.77199e10i −0.863576 0.130163i
\(299\) 4.95714e10 + 6.21606e10i 0.358683 + 0.449774i
\(300\) 6.03098e8 0.00429875
\(301\) −3.51648e10 + 1.22200e11i −0.246922 + 0.858067i
\(302\) −9.36794e10 −0.648057
\(303\) 8.78900e9 + 1.10211e10i 0.0599029 + 0.0751158i
\(304\) 1.42478e11 + 2.14750e10i 0.956787 + 0.144213i
\(305\) −9.55218e9 + 4.18509e10i −0.0632053 + 0.276920i
\(306\) −1.09552e10 7.46912e9i −0.0714288 0.0486993i
\(307\) 1.33337e11 + 2.30947e11i 0.856700 + 1.48385i 0.875059 + 0.484017i \(0.160823\pi\)
−0.0183587 + 0.999831i \(0.505844\pi\)
\(308\) −2.83401e9 + 4.90865e9i −0.0179441 + 0.0310802i
\(309\) 8.21994e9 3.95851e9i 0.0512927 0.0247013i
\(310\) 1.16180e10 + 3.58369e9i 0.0714504 + 0.0220395i
\(311\) −4.49268e9 5.99507e10i −0.0272323 0.363390i −0.994127 0.108216i \(-0.965486\pi\)
0.966895 0.255174i \(-0.0821327\pi\)
\(312\) −6.43467e10 2.81921e11i −0.384442 1.68435i
\(313\) −3.00372e10 + 7.65336e10i −0.176893 + 0.450715i −0.991630 0.129116i \(-0.958786\pi\)
0.814737 + 0.579831i \(0.196881\pi\)
\(314\) −1.49910e10 + 2.00040e11i −0.0870254 + 1.16127i
\(315\) −7.92120e9 + 1.19393e9i −0.0453308 + 0.00683252i
\(316\) 9.07606e9 + 8.42136e9i 0.0512042 + 0.0475106i
\(317\) −9.45244e10 4.55206e10i −0.525748 0.253187i 0.152131 0.988360i \(-0.451386\pi\)
−0.677879 + 0.735174i \(0.737101\pi\)
\(318\) 1.87204e11 1.27634e11i 1.02658 0.699911i
\(319\) 4.31832e10 + 1.10029e11i 0.233484 + 0.594906i
\(320\) 1.76655e11 5.44907e10i 0.941781 0.290501i
\(321\) 2.64801e11 2.45700e11i 1.39203 1.29161i
\(322\) 3.47122e10 4.35278e10i 0.179941 0.225639i
\(323\) −2.01789e11 + 2.53035e11i −1.03154 + 1.29351i
\(324\) −5.97529e9 + 5.54425e9i −0.0301235 + 0.0279506i
\(325\) −3.39289e10 + 1.04657e10i −0.168692 + 0.0520346i
\(326\) 5.34571e9 + 1.36206e10i 0.0262136 + 0.0667910i
\(327\) −2.79241e11 + 1.90383e11i −1.35056 + 0.920796i
\(328\) 4.20915e10 + 2.02702e10i 0.200799 + 0.0966997i
\(329\) 2.29177e11 + 2.12645e11i 1.07843 + 1.00063i
\(330\) 1.77132e11 2.66983e10i 0.822213 0.123929i
\(331\) 2.72903e10 3.64163e11i 0.124963 1.66752i −0.484567 0.874754i \(-0.661023\pi\)
0.609530 0.792763i \(-0.291358\pi\)
\(332\) 1.67664e9 4.27200e9i 0.00757387 0.0192979i
\(333\) −2.72782e9 1.19514e10i −0.0121567 0.0532621i
\(334\) 7.75367e9 + 1.03466e11i 0.0340917 + 0.454922i
\(335\) −3.08230e9 9.50764e8i −0.0133713 0.00412450i
\(336\) −1.74472e11 + 8.40214e10i −0.746792 + 0.359636i
\(337\) −1.05581e11 + 1.82871e11i −0.445913 + 0.772344i −0.998115 0.0613663i \(-0.980454\pi\)
0.552202 + 0.833710i \(0.313788\pi\)
\(338\) 2.38152e11 + 4.12491e11i 0.992495 + 1.71905i
\(339\) −3.21165e11 2.18967e11i −1.32078 0.900491i
\(340\) −3.69705e9 + 1.61978e10i −0.0150038 + 0.0657358i
\(341\) 1.83657e10 + 2.76819e9i 0.0735551 + 0.0110867i
\(342\) 8.46985e9 + 1.06209e10i 0.0334779 + 0.0419800i
\(343\) 2.75294e11 1.07392
\(344\) 2.04063e11 1.69178e11i 0.785691 0.651375i
\(345\) 8.01776e10 0.304696
\(346\) −2.54578e10 3.19231e10i −0.0954946 0.119746i
\(347\) −2.06488e11 3.11231e10i −0.764562 0.115239i −0.244827 0.969567i \(-0.578731\pi\)
−0.519735 + 0.854327i \(0.673969\pi\)
\(348\) 1.78812e9 7.83425e9i 0.00653565 0.0286346i
\(349\) −2.90284e11 1.97912e11i −1.04739 0.714098i −0.0879826 0.996122i \(-0.528042\pi\)
−0.959407 + 0.282024i \(0.908994\pi\)
\(350\) 1.24316e10 + 2.15322e10i 0.0442814 + 0.0766976i
\(351\) 2.53728e11 4.39470e11i 0.892250 1.54542i
\(352\) 2.08460e10 1.00389e10i 0.0723738 0.0348534i
\(353\) −2.81256e10 8.67560e9i −0.0964086 0.0297381i 0.246176 0.969225i \(-0.420826\pi\)
−0.342584 + 0.939487i \(0.611302\pi\)
\(354\) −3.40789e10 4.54752e11i −0.115338 1.53907i
\(355\) 5.71212e10 + 2.50264e11i 0.190884 + 0.836318i
\(356\) −9.34750e9 + 2.38170e10i −0.0308440 + 0.0785892i
\(357\) 3.25054e10 4.33754e11i 0.105913 1.41331i
\(358\) 2.18092e10 3.28720e9i 0.0701723 0.0105768i
\(359\) −2.86679e11 2.66000e11i −0.910902 0.845193i 0.0775098 0.996992i \(-0.475303\pi\)
−0.988411 + 0.151798i \(0.951494\pi\)
\(360\) 1.50451e10 + 7.24535e9i 0.0472100 + 0.0227352i
\(361\) 7.35468e9 5.01434e9i 0.0227920 0.0155393i
\(362\) 9.10375e9 + 2.31960e10i 0.0278632 + 0.0709944i
\(363\) −4.59437e10 + 1.41717e10i −0.138882 + 0.0428394i
\(364\) −1.66300e10 + 1.54304e10i −0.0496520 + 0.0460703i
\(365\) −1.90996e11 + 2.39501e11i −0.563257 + 0.706302i
\(366\) −6.10002e10 + 7.64918e10i −0.177691 + 0.222818i
\(367\) −1.16007e11 + 1.07639e11i −0.333800 + 0.309721i −0.829209 0.558939i \(-0.811209\pi\)
0.495409 + 0.868660i \(0.335018\pi\)
\(368\) −1.06058e11 + 3.27146e10i −0.301460 + 0.0929880i
\(369\) 1.53892e9 + 3.92109e9i 0.00432112 + 0.0110100i
\(370\) 2.78525e11 1.89895e11i 0.772604 0.526753i
\(371\) −3.83482e11 1.84675e11i −1.05090 0.506088i
\(372\) −9.25612e8 8.58843e8i −0.00250603 0.00232525i
\(373\) 5.43506e11 8.19204e10i 1.45383 0.219130i 0.625877 0.779922i \(-0.284741\pi\)
0.827957 + 0.560792i \(0.189503\pi\)
\(374\) 4.16237e10 5.55430e11i 0.110007 1.46794i
\(375\) −1.42062e11 + 3.61969e11i −0.370970 + 0.945215i
\(376\) −1.45019e11 6.35369e11i −0.374179 1.63939i
\(377\) 3.53540e10 + 4.71766e11i 0.0901368 + 1.20279i
\(378\) −3.39558e11 1.04740e11i −0.855462 0.263875i
\(379\) 1.74304e11 8.39402e10i 0.433940 0.208975i −0.204145 0.978941i \(-0.565441\pi\)
0.638085 + 0.769966i \(0.279727\pi\)
\(380\) 8.51112e9 1.47417e10i 0.0209392 0.0362678i
\(381\) 1.56319e11 + 2.70753e11i 0.380058 + 0.658280i
\(382\) 6.24118e10 + 4.25517e10i 0.149962 + 0.102243i
\(383\) 7.01623e10 3.07401e11i 0.166613 0.729980i −0.820722 0.571328i \(-0.806428\pi\)
0.987335 0.158651i \(-0.0507146\pi\)
\(384\) 3.80943e11 + 5.74179e10i 0.894065 + 0.134759i
\(385\) −2.09812e11 2.63096e11i −0.486694 0.610295i
\(386\) −1.03373e10 −0.0237009
\(387\) 2.38627e10 + 1.33281e9i 0.0540779 + 0.00302042i
\(388\) −7.51607e9 −0.0168364
\(389\) −1.33408e11 1.67289e11i −0.295400 0.370419i 0.611878 0.790952i \(-0.290415\pi\)
−0.907277 + 0.420533i \(0.861843\pi\)
\(390\) 7.08963e11 + 1.06859e11i 1.55179 + 0.233895i
\(391\) 5.54747e10 2.43050e11i 0.120033 0.525897i
\(392\) −7.99292e10 5.44948e10i −0.170969 0.116565i
\(393\) 6.10023e10 + 1.05659e11i 0.128997 + 0.223429i
\(394\) −3.18735e11 + 5.52066e11i −0.666342 + 1.15414i
\(395\) −6.62280e11 + 3.18937e11i −1.36885 + 0.659202i
\(396\) 1.01799e9 + 3.14009e8i 0.00208025 + 0.000641672i
\(397\) −3.77928e9 5.04310e10i −0.00763576 0.101892i 0.992084 0.125579i \(-0.0400787\pi\)
−0.999719 + 0.0236864i \(0.992460\pi\)
\(398\) 5.42399e10 + 2.37641e11i 0.108354 + 0.474730i
\(399\) −1.62814e11 + 4.14842e11i −0.321598 + 0.819417i
\(400\) 3.70408e9 4.94275e10i 0.00723453 0.0965381i
\(401\) 8.24232e10 1.24233e10i 0.159184 0.0239931i −0.0689666 0.997619i \(-0.521970\pi\)
0.228151 + 0.973626i \(0.426732\pi\)
\(402\) −5.38909e9 5.00035e9i −0.0102920 0.00954955i
\(403\) 6.69765e10 + 3.22542e10i 0.126488 + 0.0609134i
\(404\) −1.90474e9 + 1.29863e9i −0.00355729 + 0.00242532i
\(405\) −1.76804e11 4.50489e11i −0.326546 0.832025i
\(406\) 3.16561e11 9.76463e10i 0.578217 0.178356i
\(407\) 3.77495e11 3.50264e11i 0.681924 0.632733i
\(408\) −5.65336e11 + 7.08908e11i −1.01003 + 1.26654i
\(409\) 3.26998e11 4.10043e11i 0.577817 0.724559i −0.403922 0.914793i \(-0.632353\pi\)
0.981739 + 0.190234i \(0.0609247\pi\)
\(410\) −8.49113e10 + 7.87862e10i −0.148401 + 0.137696i
\(411\) 2.72663e11 8.41054e10i 0.471344 0.145390i
\(412\) 5.45101e8 + 1.38889e9i 0.000932051 + 0.00237483i
\(413\) −7.07818e11 + 4.82582e11i −1.19714 + 0.816198i
\(414\) −9.42784e9 4.54021e9i −0.0157729 0.00759581i
\(415\) 1.99731e11 + 1.85323e11i 0.330543 + 0.306699i
\(416\) 9.15719e10 1.38022e10i 0.149914 0.0225959i
\(417\) −4.67463e10 + 6.23786e11i −0.0757069 + 1.01024i
\(418\) −2.08486e11 + 5.31213e11i −0.334028 + 0.851090i
\(419\) 2.25431e11 + 9.87677e11i 0.357314 + 1.56549i 0.759855 + 0.650093i \(0.225270\pi\)
−0.402541 + 0.915402i \(0.631873\pi\)
\(420\) 1.70964e9 + 2.28136e10i 0.00268091 + 0.0357743i
\(421\) −9.55327e11 2.94679e11i −1.48212 0.457173i −0.554970 0.831870i \(-0.687270\pi\)
−0.927147 + 0.374698i \(0.877746\pi\)
\(422\) −5.76274e10 + 2.77519e10i −0.0884551 + 0.0425977i
\(423\) 2.93803e10 5.08881e10i 0.0446195 0.0772832i
\(424\) 4.43631e11 + 7.68392e11i 0.666616 + 1.15461i
\(425\) 9.19885e10 + 6.27167e10i 0.136768 + 0.0932466i
\(426\) −1.30187e11 + 5.70386e11i −0.191524 + 0.839124i
\(427\) 1.81739e11 + 2.73928e10i 0.264560 + 0.0398760i
\(428\) 3.68328e10 + 4.61869e10i 0.0530564 + 0.0665306i
\(429\) 1.09526e12 1.56121
\(430\) 2.05618e11 + 6.24226e11i 0.290037 + 0.880509i
\(431\) 1.23895e12 1.72945 0.864723 0.502248i \(-0.167494\pi\)
0.864723 + 0.502248i \(0.167494\pi\)
\(432\) 4.41679e11 + 5.53848e11i 0.610140 + 0.765092i
\(433\) −7.67752e11 1.15720e11i −1.04960 0.158202i −0.398482 0.917176i \(-0.630463\pi\)
−0.651121 + 0.758974i \(0.725701\pi\)
\(434\) 1.15834e10 5.07501e10i 0.0156722 0.0686646i
\(435\) 3.94185e11 + 2.68750e11i 0.527835 + 0.359872i
\(436\) −2.76352e10 4.78656e10i −0.0366246 0.0634358i
\(437\) −1.27710e11 + 2.21201e11i −0.167517 + 0.290149i
\(438\) −6.29035e11 + 3.02927e11i −0.816660 + 0.393283i
\(439\) −7.11394e11 2.19436e11i −0.914155 0.281980i −0.198229 0.980156i \(-0.563519\pi\)
−0.715926 + 0.698176i \(0.753995\pi\)
\(440\) 5.24219e10 + 6.99522e11i 0.0666770 + 0.889742i
\(441\) −1.94090e9 8.50363e9i −0.00244359 0.0107061i
\(442\) 8.14462e11 2.07522e12i 1.01501 2.58620i
\(443\) −9.44978e10 + 1.26099e12i −0.116575 + 1.55558i 0.565776 + 0.824559i \(0.308577\pi\)
−0.682351 + 0.731025i \(0.739042\pi\)
\(444\) −3.46184e10 + 5.21789e9i −0.0422750 + 0.00637193i
\(445\) −1.11353e12 1.03320e12i −1.34611 1.24901i
\(446\) 7.36438e11 + 3.54650e11i 0.881312 + 0.424417i
\(447\) −6.05693e11 + 4.12954e11i −0.717577 + 0.489236i
\(448\) −2.89171e11 7.36796e11i −0.339159 0.864164i
\(449\) 9.02510e11 2.78387e11i 1.04796 0.323252i 0.277488 0.960729i \(-0.410498\pi\)
0.770469 + 0.637477i \(0.220022\pi\)
\(450\) 3.42564e9 3.17853e9i 0.00393808 0.00365401i
\(451\) −1.10326e11 + 1.38344e11i −0.125569 + 0.157459i
\(452\) 3.96344e10 4.97000e10i 0.0446631 0.0560058i
\(453\) −4.23423e11 + 3.92879e11i −0.472424 + 0.438346i
\(454\) −4.53845e11 + 1.39993e11i −0.501367 + 0.154651i
\(455\) −4.92068e11 1.25377e12i −0.538238 1.37141i
\(456\) 7.67565e11 5.23317e11i 0.831330 0.566791i
\(457\) −1.33557e12 6.43175e11i −1.43233 0.689773i −0.452900 0.891561i \(-0.649610\pi\)
−0.979429 + 0.201788i \(0.935325\pi\)
\(458\) −3.73600e10 3.46650e10i −0.0396745 0.0368126i
\(459\) −1.57341e12 + 2.37154e11i −1.65457 + 0.249386i
\(460\) −9.79870e8 + 1.30755e10i −0.00102037 + 0.0136159i
\(461\) 5.77385e11 1.47115e12i 0.595403 1.51706i −0.241887 0.970304i \(-0.577766\pi\)
0.837290 0.546759i \(-0.184139\pi\)
\(462\) −1.70664e11 7.47726e11i −0.174282 0.763579i
\(463\) 1.62449e9 + 2.16774e10i 0.00164287 + 0.0219226i 0.997965 0.0637643i \(-0.0203106\pi\)
−0.996322 + 0.0856869i \(0.972692\pi\)
\(464\) −6.31081e11 1.94663e11i −0.632054 0.194963i
\(465\) 6.75419e10 3.25265e10i 0.0669939 0.0322626i
\(466\) 4.61577e11 7.99475e11i 0.453427 0.785359i
\(467\) −1.22442e11 2.12075e11i −0.119125 0.206331i 0.800296 0.599605i \(-0.204676\pi\)
−0.919421 + 0.393274i \(0.871342\pi\)
\(468\) 3.52300e9 + 2.40194e9i 0.00339474 + 0.00231449i
\(469\) −3.07310e9 + 1.34641e10i −0.00293291 + 0.0128499i
\(470\) 1.59780e12 + 2.40830e11i 1.51037 + 0.227651i
\(471\) 7.71184e11 + 9.67035e11i 0.722045 + 0.905415i
\(472\) 1.78580e12 1.65613
\(473\) 4.52724e11 + 8.96117e11i 0.415870 + 0.823170i
\(474\) −1.67534e12 −1.52440
\(475\) −7.11197e10 8.91812e10i −0.0641015 0.0803808i
\(476\) 7.03399e10 + 1.06020e10i 0.0628016 + 0.00946581i
\(477\) −1.78014e10 + 7.79932e10i −0.0157443 + 0.0689802i
\(478\) −9.64472e11 6.57566e11i −0.845014 0.576121i
\(479\) −7.08399e11 1.22698e12i −0.614849 1.06495i −0.990411 0.138152i \(-0.955884\pi\)
0.375562 0.926797i \(-0.377450\pi\)
\(480\) 4.66941e10 8.08765e10i 0.0401491 0.0695403i
\(481\) 1.85700e12 8.94286e11i 1.58183 0.761770i
\(482\) −2.91858e11 9.00262e10i −0.246297 0.0759726i
\(483\) −2.56533e10 3.42320e11i −0.0214478 0.286200i
\(484\) −1.74966e9 7.66574e9i −0.00144927 0.00634966i
\(485\) 1.63027e11 4.15385e11i 0.133789 0.340889i
\(486\) −9.72572e9 + 1.29781e11i −0.00790785 + 0.105523i
\(487\) −2.16877e12 + 3.26889e11i −1.74716 + 0.263342i −0.943412 0.331624i \(-0.892403\pi\)
−0.803750 + 0.594967i \(0.797165\pi\)
\(488\) −2.80853e11 2.60593e11i −0.224176 0.208005i
\(489\) 8.12852e10 + 3.91449e10i 0.0642868 + 0.0309589i
\(490\) 1.98176e11 1.35114e11i 0.155299 0.105881i
\(491\) −4.39670e11 1.12026e12i −0.341397 0.869867i −0.993717 0.111922i \(-0.964299\pi\)
0.652319 0.757944i \(-0.273796\pi\)
\(492\) 1.14953e10 3.54583e9i 0.00884458 0.00272819i
\(493\) 1.08743e12 1.00898e12i 0.829064 0.769259i
\(494\) −1.42408e12 + 1.78574e12i −1.07588 + 1.34911i
\(495\) −3.94347e10 + 4.94496e10i −0.0295226 + 0.0370202i
\(496\) −7.60722e10 + 7.05847e10i −0.0564363 + 0.0523652i
\(497\) 1.05023e12 3.23954e11i 0.772115 0.238166i
\(498\) 2.26871e11 + 5.78057e11i 0.165290 + 0.421152i
\(499\) −2.49662e11 + 1.70216e11i −0.180260 + 0.122899i −0.650088 0.759859i \(-0.725268\pi\)
0.469828 + 0.882758i \(0.344316\pi\)
\(500\) −5.72941e10 2.75914e10i −0.0409963 0.0197428i
\(501\) 4.68966e11 + 4.35137e11i 0.332561 + 0.308572i
\(502\) −4.70983e11 + 7.09892e10i −0.331008 + 0.0498914i
\(503\) −2.77841e10 + 3.70753e11i −0.0193526 + 0.258243i 0.979133 + 0.203223i \(0.0651415\pi\)
−0.998485 + 0.0550205i \(0.982478\pi\)
\(504\) 2.61204e10 6.65536e10i 0.0180319 0.0459446i
\(505\) −3.04558e10 1.33436e11i −0.0208381 0.0912978i
\(506\) −3.28496e10 4.38347e11i −0.0222768 0.297263i
\(507\) 2.80635e12 + 8.65645e11i 1.88628 + 0.581841i
\(508\) −4.60651e10 + 2.21838e10i −0.0306892 + 0.0147791i
\(509\) 8.73369e11 1.51272e12i 0.576724 0.998914i −0.419128 0.907927i \(-0.637664\pi\)
0.995852 0.0909875i \(-0.0290023\pi\)
\(510\) −1.12407e12 1.94695e12i −0.735746 1.27435i
\(511\) 1.08367e12 + 7.38832e11i 0.703075 + 0.479349i
\(512\) −3.65837e11 + 1.60284e12i −0.235273 + 1.03080i
\(513\) 1.61204e12 + 2.42975e11i 1.02765 + 0.154894i
\(514\) 9.98277e11 + 1.25180e12i 0.630837 + 0.791044i
\(515\) −8.85825e10 −0.0554901
\(516\) 8.88848e9 6.76740e10i 0.00551955 0.0420241i
\(517\) 2.46841e12 1.51953
\(518\) −8.99879e11 1.12841e12i −0.549161 0.688627i
\(519\) −2.48948e11 3.75229e10i −0.150611 0.0227009i
\(520\) −6.24763e11 + 2.73726e12i −0.374714 + 1.64173i
\(521\) −1.06144e12 7.23679e11i −0.631141 0.430305i 0.205043 0.978753i \(-0.434266\pi\)
−0.836185 + 0.548448i \(0.815219\pi\)
\(522\) −3.11325e10 5.39230e10i −0.0183525 0.0317875i
\(523\) −1.43745e11 + 2.48973e11i −0.0840107 + 0.145511i −0.904969 0.425477i \(-0.860106\pi\)
0.820959 + 0.570988i \(0.193440\pi\)
\(524\) −1.79765e10 + 8.65703e9i −0.0104163 + 0.00501624i
\(525\) 1.46493e11 + 4.51870e10i 0.0841588 + 0.0259595i
\(526\) 4.52563e10 + 6.03904e11i 0.0257777 + 0.343979i
\(527\) −5.18687e10 2.27252e11i −0.0292926 0.128339i
\(528\) −5.58593e11 + 1.42327e12i −0.312783 + 0.796958i
\(529\) −1.19897e11 + 1.59992e12i −0.0665670 + 0.888274i
\(530\) −2.17531e12 + 3.27875e11i −1.19751 + 0.180496i
\(531\) 1.18032e11 + 1.09518e11i 0.0644279 + 0.0597804i
\(532\) −6.56632e10 3.16217e10i −0.0355402 0.0171152i
\(533\) −5.85167e11 + 3.98960e11i −0.314056 + 0.214120i
\(534\) −1.26484e12 3.22275e12i −0.673130 1.71511i
\(535\) −3.35149e12 + 1.03380e12i −1.76867 + 0.545562i
\(536\) 2.11037e10 1.95813e10i 0.0110437 0.0102471i
\(537\) 8.47894e10 1.06323e11i 0.0440005 0.0551748i
\(538\) 1.35343e12 1.69715e12i 0.696493 0.873375i
\(539\) 2.68595e11 2.49220e11i 0.137072 0.127184i
\(540\) 7.99711e10 2.46678e10i 0.0404726 0.0124842i
\(541\) 4.98683e9 + 1.27062e10i 0.00250286 + 0.00637719i 0.932120 0.362150i \(-0.117957\pi\)
−0.929617 + 0.368527i \(0.879862\pi\)
\(542\) 2.71200e12 1.84901e12i 1.34987 0.920329i
\(543\) 1.38429e11 + 6.66638e10i 0.0683325 + 0.0329072i
\(544\) −2.12861e11 1.97507e11i −0.104208 0.0966911i
\(545\) 3.24477e12 4.89070e11i 1.57543 0.237458i
\(546\) 2.29400e11 3.06112e12i 0.110465 1.47406i
\(547\) −2.73798e11 + 6.97625e11i −0.130764 + 0.333180i −0.981228 0.192853i \(-0.938226\pi\)
0.850464 + 0.526033i \(0.176321\pi\)
\(548\) 1.03837e10 + 4.54941e10i 0.00491859 + 0.0215498i
\(549\) −2.58150e9 3.44477e10i −0.00121282 0.0161840i
\(550\) 1.87587e11 + 5.78628e10i 0.0874117 + 0.0269630i
\(551\) −1.36933e12 + 6.59433e11i −0.632885 + 0.304781i
\(552\) −3.57796e11 + 6.19721e11i −0.164025 + 0.284099i
\(553\) 1.57361e12 + 2.72557e12i 0.715541 + 1.23935i
\(554\) 1.73496e12 + 1.18287e12i 0.782519 + 0.533512i
\(555\) 4.62514e11 2.02641e12i 0.206922 0.906585i
\(556\) −1.01156e11 1.52469e10i −0.0448908 0.00676620i
\(557\) −5.87582e11 7.36804e11i −0.258655 0.324343i 0.635500 0.772101i \(-0.280794\pi\)
−0.894155 + 0.447758i \(0.852223\pi\)
\(558\) −9.78392e9 −0.00427227
\(559\) 6.74315e11 + 3.96142e12i 0.292085 + 1.71592i
\(560\) 1.88021e12 0.807904
\(561\) −2.14126e12 2.68506e12i −0.912719 1.14451i
\(562\) −3.78571e12 5.70603e11i −1.60079 0.241280i
\(563\) −1.97705e11 + 8.66201e11i −0.0829334 + 0.363355i −0.999317 0.0369457i \(-0.988237\pi\)
0.916384 + 0.400301i \(0.131094\pi\)
\(564\) −1.38654e11 9.45326e10i −0.0577000 0.0393392i
\(565\) 1.88704e12 + 3.26846e12i 0.779048 + 1.34935i
\(566\) 5.98433e11 1.03652e12i 0.245099 0.424524i
\(567\) −1.86680e12 + 8.99005e11i −0.758533 + 0.365290i
\(568\) −2.18929e12 6.75306e11i −0.882542 0.272228i
\(569\) −2.01203e11 2.68487e12i −0.0804692 1.07379i −0.880569 0.473919i \(-0.842839\pi\)
0.800099 0.599867i \(-0.204780\pi\)
\(570\) 5.12539e11 + 2.24558e12i 0.203371 + 0.891029i
\(571\) −1.32238e12 + 3.36936e12i −0.520587 + 1.32643i 0.392906 + 0.919579i \(0.371470\pi\)
−0.913493 + 0.406855i \(0.866625\pi\)
\(572\) −1.33855e10 + 1.78617e11i −0.00522820 + 0.0697654i
\(573\) 4.60552e11 6.94170e10i 0.178477 0.0269011i
\(574\) 3.63547e11 + 3.37322e11i 0.139784 + 0.129701i
\(575\) 7.91637e10 + 3.81232e10i 0.0302010 + 0.0145440i
\(576\) −1.22917e11 + 8.38032e10i −0.0465275 + 0.0317219i
\(577\) −1.92445e12 4.90341e12i −0.722794 1.84165i −0.497810 0.867286i \(-0.665862\pi\)
−0.224984 0.974362i \(-0.572233\pi\)
\(578\) −4.17209e12 + 1.28692e12i −1.55481 + 0.479596i
\(579\) −4.67237e10 + 4.33533e10i −0.0172776 + 0.0160313i
\(580\) −4.86456e10 + 6.09996e10i −0.0178491 + 0.0223821i
\(581\) 7.27335e11 9.12049e11i 0.264815 0.332067i
\(582\) 7.45529e11 6.91750e11i 0.269347 0.249917i
\(583\) −3.21129e12 + 9.90552e11i −1.15125 + 0.355115i
\(584\) −9.98862e11 2.54506e12i −0.355343 0.905399i
\(585\) −2.09162e11 + 1.42604e11i −0.0738381 + 0.0503419i
\(586\) 1.40660e12 + 6.77381e11i 0.492754 + 0.237298i
\(587\) 1.66857e12 + 1.54820e12i 0.580058 + 0.538216i 0.914702 0.404129i \(-0.132425\pi\)
−0.334644 + 0.942345i \(0.608616\pi\)
\(588\) −2.46317e10 + 3.71263e9i −0.00849760 + 0.00128081i
\(589\) −1.78469e10 + 2.38150e11i −0.00611003 + 0.0815327i
\(590\) −1.61762e12 + 4.12164e12i −0.549596 + 1.40035i
\(591\) 8.74633e11 + 3.83202e12i 0.294905 + 1.29206i
\(592\) 2.15019e11 + 2.86923e12i 0.0719498 + 0.960103i
\(593\) 2.02056e12 + 6.23261e11i 0.671005 + 0.206978i 0.611493 0.791250i \(-0.290569\pi\)
0.0595123 + 0.998228i \(0.481045\pi\)
\(594\) −2.52779e12 + 1.21732e12i −0.833108 + 0.401204i
\(595\) −2.11164e12 + 3.65746e12i −0.690705 + 1.19634i
\(596\) −5.99427e10 1.03824e11i −0.0194594 0.0337046i
\(597\) 1.24179e12 + 8.46639e11i 0.400096 + 0.272781i
\(598\) 3.91500e11 1.71527e12i 0.125192 0.548502i
\(599\) −9.23587e11 1.39208e11i −0.293128 0.0441819i 0.000832138 1.00000i \(-0.499735\pi\)
−0.293960 + 0.955818i \(0.594973\pi\)
\(600\) −1.99250e11 2.49852e11i −0.0627651 0.0787049i
\(601\) 1.32584e12 0.414529 0.207264 0.978285i \(-0.433544\pi\)
0.207264 + 0.978285i \(0.433544\pi\)
\(602\) 2.59936e12 1.07762e12i 0.806643 0.334411i
\(603\) 2.59571e9 0.000799517
\(604\) −5.88964e10 7.38537e10i −0.0180062 0.0225791i
\(605\) 4.61608e11 + 6.95762e10i 0.140079 + 0.0211136i
\(606\) 6.94128e10 3.04118e11i 0.0209080 0.0916040i
\(607\) 1.22135e11 + 8.32703e10i 0.0365167 + 0.0248967i 0.581441 0.813589i \(-0.302489\pi\)
−0.544924 + 0.838485i \(0.683442\pi\)
\(608\) 1.48753e11 + 2.57647e11i 0.0441467 + 0.0764644i
\(609\) 1.02131e12 1.76897e12i 0.300872 0.521125i
\(610\) 8.55856e11 4.12158e11i 0.250274 0.120526i
\(611\) 9.44078e12 + 2.91210e12i 2.74045 + 0.845318i
\(612\) −9.99135e8 1.33325e10i −0.000287901 0.00384177i
\(613\) −1.51899e12 6.65513e12i −0.434493 1.90364i −0.428254 0.903658i \(-0.640871\pi\)
−0.00623915 0.999981i \(-0.501986\pi\)
\(614\) 2.15595e12 5.49327e12i 0.612183 1.55982i
\(615\) −5.33730e10 + 7.12213e11i −0.0150447 + 0.200757i
\(616\) 2.96985e12 4.47633e11i 0.831039 0.125259i
\(617\) −2.94239e12 2.73013e12i −0.817365 0.758404i 0.155977 0.987761i \(-0.450147\pi\)
−0.973343 + 0.229356i \(0.926338\pi\)
\(618\) −1.81898e11 8.75974e10i −0.0501625 0.0241570i
\(619\) 2.43273e12 1.65861e12i 0.666018 0.454083i −0.182531 0.983200i \(-0.558429\pi\)
0.848549 + 0.529117i \(0.177477\pi\)
\(620\) 4.47901e9 + 1.14123e10i 0.00121736 + 0.00310179i
\(621\) −1.19998e12 + 3.70144e11i −0.323788 + 0.0998753i
\(622\) −9.75223e11 + 9.04875e11i −0.261244 + 0.242399i
\(623\) −4.05500e12 + 5.08481e12i −1.07844 + 1.35232i
\(624\) −3.81552e12 + 4.78451e12i −1.00745 + 1.26330i
\(625\) 2.48399e12 2.30481e12i 0.651164 0.604192i
\(626\) 1.73854e12 5.36267e11i 0.452480 0.139572i
\(627\) 1.28550e12 + 3.27540e12i 0.332175 + 0.846369i
\(628\) −1.67130e11 + 1.13947e11i −0.0428781 + 0.0292338i
\(629\) −5.82284e12 2.80413e12i −1.48322 0.714283i
\(630\) 1.29946e11 + 1.20572e11i 0.0328647 + 0.0304940i
\(631\) −3.13758e12 + 4.72914e11i −0.787884 + 0.118754i −0.530646 0.847594i \(-0.678051\pi\)
−0.257238 + 0.966348i \(0.582812\pi\)
\(632\) 4.90275e11 6.54227e12i 0.122240 1.63118i
\(633\) −1.44083e11 + 3.67117e11i −0.0356694 + 0.0908842i
\(634\) 5.16611e11 + 2.26342e12i 0.126988 + 0.556370i
\(635\) −2.26844e11 3.02702e12i −0.0553663 0.738812i
\(636\) 2.18317e11 + 6.73420e10i 0.0529092 + 0.0163203i
\(637\) 1.32130e12 6.36302e11i 0.317960 0.153121i
\(638\) 1.30781e12 2.26519e12i 0.312501 0.541268i
\(639\) −1.03286e11 1.78896e11i −0.0245068 0.0424471i
\(640\) −3.09053e12 2.10708e12i −0.728153 0.496446i
\(641\) 8.46726e11 3.70975e12i 0.198099 0.867928i −0.773968 0.633224i \(-0.781731\pi\)
0.972067 0.234703i \(-0.0754118\pi\)
\(642\) −7.90436e12 1.19139e12i −1.83636 0.276787i
\(643\) 2.06042e12 + 2.58368e12i 0.475342 + 0.596060i 0.960470 0.278383i \(-0.0897986\pi\)
−0.485128 + 0.874443i \(0.661227\pi\)
\(644\) 5.61395e10 0.0128612
\(645\) 3.54729e12 + 1.95911e12i 0.807009 + 0.445697i
\(646\) 7.16187e12 1.61801
\(647\) −5.19713e11 6.51700e11i −0.116599 0.146210i 0.720107 0.693863i \(-0.244093\pi\)
−0.836706 + 0.547653i \(0.815521\pi\)
\(648\) 4.27098e12 + 6.43747e11i 0.951568 + 0.143426i
\(649\) −1.50511e12 + 6.59430e12i −0.333017 + 1.45904i
\(650\) 6.49188e11 + 4.42609e11i 0.142646 + 0.0972546i
\(651\) −1.60483e11 2.77965e11i −0.0350199 0.0606562i
\(652\) −7.37720e9 + 1.27777e10i −0.00159874 + 0.00276910i
\(653\) −3.73772e11 + 1.79999e11i −0.0804446 + 0.0387401i −0.473673 0.880701i \(-0.657072\pi\)
0.393229 + 0.919441i \(0.371358\pi\)
\(654\) 7.14654e12 + 2.20441e12i 1.52755 + 0.471187i
\(655\) −8.85239e10 1.18127e12i −0.0187921 0.250763i
\(656\) −2.20001e11 9.63886e11i −0.0463828 0.203216i
\(657\) 9.00612e10 2.29472e11i 0.0188579 0.0480492i
\(658\) 5.17001e11 6.89890e12i 0.107516 1.43471i
\(659\) −2.88879e12 + 4.35415e11i −0.596666 + 0.0899330i −0.440430 0.897787i \(-0.645174\pi\)
−0.156236 + 0.987720i \(0.549936\pi\)
\(660\) 1.32411e11 + 1.22860e11i 0.0271629 + 0.0252035i
\(661\) 1.91558e12 + 9.22496e11i 0.390296 + 0.187957i 0.618732 0.785602i \(-0.287647\pi\)
−0.228436 + 0.973559i \(0.573361\pi\)
\(662\) −6.67693e12 + 4.55225e12i −1.35119 + 0.921224i
\(663\) −5.02187e12 1.27955e13i −1.00938 2.57186i
\(664\) −2.32373e12 + 7.16776e11i −0.463906 + 0.143096i
\(665\) 3.17188e12 2.94307e12i 0.628954 0.583584i
\(666\) −1.69135e11 + 2.12088e11i −0.0333119 + 0.0417718i
\(667\) 7.29932e11 9.15306e11i 0.142796 0.179061i
\(668\) −7.66940e10 + 7.11616e10i −0.0149028 + 0.0138278i
\(669\) 4.81599e12 1.48554e12i 0.929540 0.286725i
\(670\) 2.60777e10 + 6.64448e10i 0.00499956 + 0.0127387i
\(671\) 1.19898e12 8.17453e11i 0.228329 0.155672i
\(672\) −3.60244e11 1.73484e11i −0.0681452 0.0328170i
\(673\) 3.43434e12 + 3.18660e12i 0.645320 + 0.598770i 0.933400 0.358837i \(-0.116827\pi\)
−0.288080 + 0.957606i \(0.593017\pi\)
\(674\) 4.62057e12 6.96439e11i 0.862434 0.129991i
\(675\) 4.19091e10 5.59238e11i 0.00777037 0.103688i
\(676\) −1.75468e11 + 4.47084e11i −0.0323174 + 0.0823434i
\(677\) −2.08921e12 9.15344e12i −0.382238 1.67469i −0.690454 0.723377i \(-0.742589\pi\)
0.308216 0.951316i \(-0.400268\pi\)
\(678\) 6.42802e11 + 8.57760e12i 0.116827 + 1.55895i
\(679\) −1.82566e12 5.63141e11i −0.329614 0.101672i
\(680\) 7.93187e12 3.81979e12i 1.42261 0.685093i
\(681\) −1.46423e12 + 2.53612e12i −0.260884 + 0.451864i
\(682\) −2.05501e11 3.55939e11i −0.0363735 0.0630007i
\(683\) 5.87959e12 + 4.00864e12i 1.03384 + 0.704861i 0.956377 0.292134i \(-0.0943654\pi\)
0.0774639 + 0.996995i \(0.475318\pi\)
\(684\) −3.04812e9 + 1.33547e10i −0.000532451 + 0.00233282i
\(685\) −2.73951e12 4.12915e11i −0.475407 0.0716561i
\(686\) −3.79826e12 4.76287e12i −0.654826 0.821126i
\(687\) −3.14244e11 −0.0538222
\(688\) −5.49170e12 1.14410e12i −0.934455 0.194678i
\(689\) −1.34506e13 −2.27382
\(690\) −1.10622e12 1.38716e12i −0.185789 0.232972i
\(691\) −5.52665e12 8.33008e11i −0.922169 0.138995i −0.329237 0.944247i \(-0.606792\pi\)
−0.592932 + 0.805253i \(0.702030\pi\)
\(692\) 9.16174e9 4.01402e10i 0.00151880 0.00665429i
\(693\) 2.23743e11 + 1.52546e11i 0.0368511 + 0.0251247i
\(694\) 2.31048e12 + 4.00187e12i 0.378081 + 0.654856i
\(695\) 3.03676e12 5.25983e12i 0.493718 0.855146i
\(696\) −3.83633e12 + 1.84748e12i −0.619690 + 0.298427i
\(697\) 2.12207e12 + 6.54573e11i 0.340575 + 0.105053i
\(698\) 5.80994e11 + 7.75283e12i 0.0926451 + 1.23626i
\(699\) −1.26660e12 5.54934e12i −0.200675 0.879214i
\(700\) −9.15948e9 + 2.33380e10i −0.00144188 + 0.00367385i
\(701\) −4.76833e11 + 6.36289e12i −0.0745822 + 0.995230i 0.826882 + 0.562376i \(0.190113\pi\)
−0.901464 + 0.432854i \(0.857507\pi\)
\(702\) −1.11040e13 + 1.67366e12i −1.72569 + 0.260106i
\(703\) 4.85391e12 + 4.50377e12i 0.749537 + 0.695469i
\(704\) −5.63050e12 2.71150e12i −0.863913 0.416038i
\(705\) 8.23192e12 5.61243e12i 1.25502 0.855657i
\(706\) 2.37955e11 + 6.06301e11i 0.0360474 + 0.0918474i
\(707\) −5.59961e11 + 1.72725e11i −0.0842890 + 0.0259997i
\(708\) 3.37085e11 3.12770e11i 0.0504185 0.0467816i
\(709\) −2.59026e12 + 3.24808e12i −0.384977 + 0.482746i −0.936128 0.351660i \(-0.885617\pi\)
0.551151 + 0.834405i \(0.314189\pi\)
\(710\) 3.54173e12 4.44118e12i 0.523061 0.655898i
\(711\) 4.33622e11 4.02342e11i 0.0636353 0.0590449i
\(712\) 1.29551e13 3.99613e12i 1.88922 0.582747i
\(713\) −6.72081e10 1.71243e11i −0.00973909 0.0248148i
\(714\) −7.95288e12 + 5.42218e12i −1.14520 + 0.780786i
\(715\) −9.58115e12 4.61404e12i −1.37101 0.660243i
\(716\) 1.63030e10 + 1.51269e10i 0.00231824 + 0.00215101i
\(717\) −7.11707e12 + 1.07273e12i −1.00569 + 0.151584i
\(718\) −6.46720e11 + 8.62988e12i −0.0908147 + 1.21184i
\(719\) 5.24952e10 1.33755e11i 0.00732553 0.0186652i −0.927164 0.374655i \(-0.877761\pi\)
0.934490 + 0.355990i \(0.115856\pi\)
\(720\) −7.86368e10 3.44530e11i −0.0109051 0.0477784i
\(721\) 2.83425e10 + 3.78205e11i 0.00390598 + 0.0521217i
\(722\) −1.88227e11 5.80602e10i −0.0257789 0.00795173i
\(723\) −1.69673e12 + 8.17101e11i −0.230935 + 0.111212i
\(724\) −1.25634e10 + 2.17604e10i −0.00169935 + 0.00294336i
\(725\) 2.61413e11 + 4.52781e11i 0.0351404 + 0.0608649i
\(726\) 8.79076e11 + 5.99344e11i 0.117439 + 0.0800684i
\(727\) −3.03814e12 + 1.33109e13i −0.403369 + 1.76727i 0.210226 + 0.977653i \(0.432580\pi\)
−0.613595 + 0.789621i \(0.710277\pi\)
\(728\) 1.18867e13 + 1.79163e12i 1.56845 + 0.236406i
\(729\) 4.98335e12 + 6.24892e12i 0.653502 + 0.819466i
\(730\) 6.77882e12 0.883489
\(731\) 8.39320e12 9.39776e12i 1.08718 1.21730i
\(732\) −9.86544e10 −0.0127004
\(733\) −5.53256e12 6.93761e12i −0.707878 0.887651i 0.289707 0.957115i \(-0.406442\pi\)
−0.997584 + 0.0694650i \(0.977871\pi\)
\(734\) 3.46282e12 + 5.21936e11i 0.440349 + 0.0663720i
\(735\) 3.29088e11 1.44183e12i 0.0415929 0.182230i
\(736\) −1.89346e11 1.29094e11i −0.0237852 0.0162165i
\(737\) 5.45201e10 + 9.44317e10i 0.00680696 + 0.0117900i
\(738\) 4.66064e10 8.07246e10i 0.00578351 0.0100173i
\(739\) −4.79921e12 + 2.31118e12i −0.591930 + 0.285058i −0.705770 0.708441i \(-0.749399\pi\)
0.113841 + 0.993499i \(0.463685\pi\)
\(740\) 3.24816e11 + 1.00193e11i 0.0398194 + 0.0122827i
\(741\) 1.05244e12 + 1.40438e13i 0.128237 + 1.71120i
\(742\) 2.09587e12 + 9.18262e12i 0.253833 + 1.11211i
\(743\) 1.95062e12 4.97011e12i 0.234814 0.598296i −0.764090 0.645110i \(-0.776812\pi\)
0.998904 + 0.0468141i \(0.0149068\pi\)
\(744\) −5.00002e10 + 6.67206e11i −0.00598265 + 0.0798329i
\(745\) 7.03814e12 1.06083e12i 0.837056 0.126166i
\(746\) −8.91612e12 8.27295e12i −1.05403 0.977993i
\(747\) −1.97544e11 9.51322e10i −0.0232125 0.0111785i
\(748\) 4.64051e11 3.16385e11i 0.0542012 0.0369537i
\(749\) 5.48616e12 + 1.39785e13i 0.636942 + 1.62290i