Properties

Label 43.9.f.a.2.13
Level 43
Weight 9
Character 43.2
Analytic conductor 17.517
Analytic rank 0
Dimension 174
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 9 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(17.5172802326\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.13
Character \(\chi\) \(=\) 43.2
Dual form 43.9.f.a.22.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.08134 - 2.24542i) q^{2} +(-24.6440 + 51.1739i) q^{3} +(155.741 - 195.293i) q^{4} +(-234.966 - 53.6295i) q^{5} +141.556 q^{6} -271.708i q^{7} +(-1228.94 - 280.497i) q^{8} +(2079.28 + 2607.33i) q^{9} +O(q^{10})\) \(q+(-1.08134 - 2.24542i) q^{2} +(-24.6440 + 51.1739i) q^{3} +(155.741 - 195.293i) q^{4} +(-234.966 - 53.6295i) q^{5} +141.556 q^{6} -271.708i q^{7} +(-1228.94 - 280.497i) q^{8} +(2079.28 + 2607.33i) q^{9} +(133.657 + 585.590i) q^{10} +(-8442.85 - 10587.0i) q^{11} +(6155.81 + 12782.7i) q^{12} +(-5830.31 + 25544.2i) q^{13} +(-610.099 + 293.808i) q^{14} +(8534.94 - 10702.5i) q^{15} +(-13530.2 - 59279.9i) q^{16} +(4856.65 + 21278.4i) q^{17} +(3606.16 - 7488.28i) q^{18} +(-139518. - 111262. i) q^{19} +(-47067.2 + 37534.9i) q^{20} +(13904.3 + 6695.98i) q^{21} +(-14642.7 + 30405.9i) q^{22} +(-257839. - 323320. i) q^{23} +(44640.2 - 55977.0i) q^{24} +(-299608. - 144284. i) q^{25} +(63662.2 - 14530.5i) q^{26} +(-547982. + 125073. i) q^{27} +(-53062.6 - 42316.0i) q^{28} +(266264. + 552903. i) q^{29} +(-33260.8 - 7591.55i) q^{30} +(-1.48961e6 + 717356. i) q^{31} +(-370774. + 295682. i) q^{32} +(749844. - 171147. i) q^{33} +(42527.3 - 33914.4i) q^{34} +(-14571.5 + 63842.1i) q^{35} +833022. q^{36} -2.79168e6i q^{37} +(-98964.2 + 433590. i) q^{38} +(-1.16352e6 - 927873. i) q^{39} +(273716. + 131815. i) q^{40} +(-2.88103e6 + 1.38743e6i) q^{41} -38461.8i q^{42} +(2.30220e6 - 2.52746e6i) q^{43} -3.38246e6 q^{44} +(-348730. - 724145. i) q^{45} +(-447179. + 928577. i) q^{46} +(3.23468e6 - 4.05616e6i) q^{47} +(3.36702e6 + 768501. i) q^{48} +5.69098e6 q^{49} +828767. i q^{50} +(-1.20858e6 - 275851. i) q^{51} +(4.08059e6 + 5.11689e6i) q^{52} +(2.29824e6 + 1.00693e7i) q^{53} +(873398. + 1.09521e6i) q^{54} +(1.41601e6 + 2.94037e6i) q^{55} +(-76213.3 + 333912. i) q^{56} +(9.13202e6 - 4.39775e6i) q^{57} +(953581. - 1.19575e6i) q^{58} +(3.62191e6 + 1.58686e7i) q^{59} +(-760878. - 3.33362e6i) q^{60} +(-822825. + 1.70861e6i) q^{61} +(3.22154e6 + 2.56909e6i) q^{62} +(708433. - 564956. i) q^{63} +(-1.29595e7 - 6.24099e6i) q^{64} +(2.73985e6 - 5.68935e6i) q^{65} +(-1.19513e6 - 1.49865e6i) q^{66} +(6.93187e6 - 8.69229e6i) q^{67} +(4.91189e6 + 2.36544e6i) q^{68} +(2.28998e7 - 5.22672e6i) q^{69} +(159109. - 36315.7i) q^{70} +(-3.08087e6 - 2.45691e6i) q^{71} +(-1.82396e6 - 3.78749e6i) q^{72} +(-4.32100e7 - 9.86240e6i) q^{73} +(-6.26851e6 + 3.01875e6i) q^{74} +(1.47671e7 - 1.17764e7i) q^{75} +(-4.34574e7 + 9.91887e6i) q^{76} +(-2.87657e6 + 2.29399e6i) q^{77} +(-825313. + 3.61593e6i) q^{78} +6.29294e7 q^{79} +1.46544e7i q^{80} +(2.23519e6 - 9.79299e6i) q^{81} +(6.23075e6 + 4.96886e6i) q^{82} +(-3.31418e7 - 1.59602e7i) q^{83} +(3.47315e6 - 1.67258e6i) q^{84} -5.26015e6i q^{85} +(-8.16469e6 - 2.43638e6i) q^{86} -3.48560e7 q^{87} +(7.40612e6 + 1.53790e7i) q^{88} +(-3.76148e7 + 7.81080e7i) q^{89} +(-1.24892e6 + 1.56609e6i) q^{90} +(6.94057e6 + 1.58414e6i) q^{91} -1.03298e8 q^{92} -9.39074e7i q^{93} +(-1.26056e7 - 2.87715e6i) q^{94} +(2.68152e7 + 3.36251e7i) q^{95} +(-5.99385e6 - 2.62608e7i) q^{96} +(-2.48214e7 - 3.11250e7i) q^{97} +(-6.15388e6 - 1.27787e7i) q^{98} +(1.00488e7 - 4.40266e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} + O(q^{10}) \) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} - 24989q^{10} - 14864q^{11} - 1799q^{12} + 133078q^{13} - 243363q^{14} - 7457q^{15} - 558511q^{16} + 55162q^{17} - 45934q^{18} + 619745q^{19} + 1207493q^{20} + 307272q^{21} + 432761q^{22} + 473962q^{23} + 179363q^{24} + 2991984q^{25} + 112889q^{26} - 7q^{27} + 458745q^{28} + 1369823q^{29} + 4208148q^{30} + 608540q^{31} - 15074437q^{32} - 10988257q^{33} + 1542905q^{34} - 4078926q^{35} + 53343072q^{36} - 15207265q^{38} - 16862587q^{39} - 537581q^{40} - 852935q^{41} + 2982351q^{43} - 10366284q^{44} + 52423812q^{45} + 51003036q^{46} + 5828578q^{47} - 32078599q^{48} - 145853506q^{49} - 30015937q^{51} + 71975797q^{52} - 7800770q^{53} + 43151245q^{54} - 53485957q^{55} + 25379079q^{56} - 21662515q^{57} - 191329035q^{58} + 69716890q^{59} - 106388277q^{60} - 49131775q^{61} + 67656953q^{62} + 355075q^{63} + 227160853q^{64} - 87064999q^{65} + 146686057q^{66} - 31581292q^{67} + 200919430q^{68} - 30179079q^{69} + 86518670q^{70} - 60255454q^{71} - 438784346q^{72} - 50897868q^{73} + 5087868q^{74} + 206284834q^{75} + 461519674q^{76} + 256281375q^{77} - 182130842q^{78} - 236682026q^{79} - 488977844q^{81} - 226181851q^{82} - 429023996q^{83} - 513228846q^{84} + 336855461q^{86} + 255103986q^{87} + 977894029q^{88} - 258201748q^{89} + 1399550866q^{90} + 246776320q^{91} + 363749100q^{92} - 637129955q^{94} + 60088655q^{95} - 1169196874q^{96} + 218930393q^{97} - 330217825q^{98} + 459482633q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.08134 2.24542i −0.0675837 0.140339i 0.864440 0.502735i \(-0.167673\pi\)
−0.932024 + 0.362396i \(0.881959\pi\)
\(3\) −24.6440 + 51.1739i −0.304247 + 0.631776i −0.995901 0.0904534i \(-0.971168\pi\)
0.691653 + 0.722230i \(0.256883\pi\)
\(4\) 155.741 195.293i 0.608362 0.762862i
\(5\) −234.966 53.6295i −0.375946 0.0858071i 0.0303729 0.999539i \(-0.490331\pi\)
−0.406319 + 0.913732i \(0.633188\pi\)
\(6\) 141.556 0.109225
\(7\) 271.708i 0.113164i −0.998398 0.0565822i \(-0.981980\pi\)
0.998398 0.0565822i \(-0.0180203\pi\)
\(8\) −1228.94 280.497i −0.300034 0.0684808i
\(9\) 2079.28 + 2607.33i 0.316915 + 0.397399i
\(10\) 133.657 + 585.590i 0.0133657 + 0.0585590i
\(11\) −8442.85 10587.0i −0.576658 0.723106i 0.404881 0.914370i \(-0.367313\pi\)
−0.981539 + 0.191263i \(0.938742\pi\)
\(12\) 6155.81 + 12782.7i 0.296866 + 0.616448i
\(13\) −5830.31 + 25544.2i −0.204135 + 0.894375i 0.764251 + 0.644919i \(0.223109\pi\)
−0.968386 + 0.249456i \(0.919748\pi\)
\(14\) −610.099 + 293.808i −0.0158814 + 0.00764807i
\(15\) 8534.94 10702.5i 0.168591 0.211407i
\(16\) −13530.2 59279.9i −0.206455 0.904539i
\(17\) 4856.65 + 21278.4i 0.0581488 + 0.254767i 0.995645 0.0932301i \(-0.0297192\pi\)
−0.937496 + 0.347997i \(0.886862\pi\)
\(18\) 3606.16 7488.28i 0.0343523 0.0713332i
\(19\) −139518. 111262.i −1.07058 0.853755i −0.0808485 0.996726i \(-0.525763\pi\)
−0.989727 + 0.142971i \(0.954334\pi\)
\(20\) −47067.2 + 37534.9i −0.294170 + 0.234593i
\(21\) 13904.3 + 6695.98i 0.0714946 + 0.0344300i
\(22\) −14642.7 + 30405.9i −0.0625074 + 0.129798i
\(23\) −257839. 323320.i −0.921378 1.15537i −0.987509 0.157560i \(-0.949637\pi\)
0.0661317 0.997811i \(-0.478934\pi\)
\(24\) 44640.2 55977.0i 0.134549 0.168719i
\(25\) −299608. 144284.i −0.766997 0.369366i
\(26\) 63662.2 14530.5i 0.139312 0.0317970i
\(27\) −547982. + 125073.i −1.03113 + 0.235348i
\(28\) −53062.6 42316.0i −0.0863289 0.0688450i
\(29\) 266264. + 552903.i 0.376462 + 0.781731i 1.00000 6.21075e-5i \(-1.97694e-5\pi\)
−0.623538 + 0.781793i \(0.714305\pi\)
\(30\) −33260.8 7591.55i −0.0410627 0.00937229i
\(31\) −1.48961e6 + 717356.i −1.61296 + 0.776762i −0.999912 0.0132813i \(-0.995772\pi\)
−0.613051 + 0.790043i \(0.710058\pi\)
\(32\) −370774. + 295682.i −0.353598 + 0.281985i
\(33\) 749844. 171147.i 0.632288 0.144316i
\(34\) 42527.3 33914.4i 0.0318238 0.0253786i
\(35\) −14571.5 + 63842.1i −0.00971031 + 0.0425437i
\(36\) 833022. 0.495960
\(37\) 2.79168e6i 1.48956i −0.667308 0.744782i \(-0.732554\pi\)
0.667308 0.744782i \(-0.267446\pi\)
\(38\) −98964.2 + 433590.i −0.0474617 + 0.207943i
\(39\) −1.16352e6 927873.i −0.502937 0.401079i
\(40\) 273716. + 131815.i 0.106920 + 0.0514901i
\(41\) −2.88103e6 + 1.38743e6i −1.01956 + 0.490994i −0.867532 0.497382i \(-0.834295\pi\)
−0.152028 + 0.988376i \(0.548580\pi\)
\(42\) 38461.8i 0.0123604i
\(43\) 2.30220e6 2.52746e6i 0.673395 0.739283i
\(44\) −3.38246e6 −0.902448
\(45\) −348730. 724145.i −0.0850431 0.176594i
\(46\) −447179. + 928577.i −0.0998735 + 0.207390i
\(47\) 3.23468e6 4.05616e6i 0.662888 0.831235i −0.330766 0.943713i \(-0.607307\pi\)
0.993654 + 0.112477i \(0.0358786\pi\)
\(48\) 3.36702e6 + 768501.i 0.634280 + 0.144770i
\(49\) 5.69098e6 0.987194
\(50\) 828767.i 0.132603i
\(51\) −1.20858e6 275851.i −0.178647 0.0407750i
\(52\) 4.08059e6 + 5.11689e6i 0.558097 + 0.699831i
\(53\) 2.29824e6 + 1.00693e7i 0.291268 + 1.27613i 0.882763 + 0.469819i \(0.155681\pi\)
−0.591495 + 0.806308i \(0.701462\pi\)
\(54\) 873398. + 1.09521e6i 0.102716 + 0.128801i
\(55\) 1.41601e6 + 2.94037e6i 0.154744 + 0.321330i
\(56\) −76213.3 + 333912.i −0.00774959 + 0.0339532i
\(57\) 9.13202e6 4.39775e6i 0.865102 0.416611i
\(58\) 953581. 1.19575e6i 0.0842646 0.105665i
\(59\) 3.62191e6 + 1.58686e7i 0.298903 + 1.30958i 0.871764 + 0.489926i \(0.162976\pi\)
−0.572861 + 0.819652i \(0.694167\pi\)
\(60\) −760878. 3.33362e6i −0.0587097 0.257224i
\(61\) −822825. + 1.70861e6i −0.0594276 + 0.123403i −0.928567 0.371164i \(-0.878959\pi\)
0.869140 + 0.494566i \(0.164673\pi\)
\(62\) 3.22154e6 + 2.56909e6i 0.218020 + 0.173865i
\(63\) 708433. 564956.i 0.0449714 0.0358635i
\(64\) −1.29595e7 6.24099e6i −0.772449 0.371992i
\(65\) 2.73985e6 5.68935e6i 0.153487 0.318720i
\(66\) −1.19513e6 1.49865e6i −0.0629855 0.0789813i
\(67\) 6.93187e6 8.69229e6i 0.343994 0.431355i −0.579497 0.814974i \(-0.696751\pi\)
0.923491 + 0.383619i \(0.125322\pi\)
\(68\) 4.91189e6 + 2.36544e6i 0.229727 + 0.110631i
\(69\) 2.28998e7 5.22672e6i 1.01026 0.230586i
\(70\) 159109. 36315.7i 0.00662680 0.00151252i
\(71\) −3.08087e6 2.45691e6i −0.121238 0.0966843i 0.560994 0.827820i \(-0.310419\pi\)
−0.682232 + 0.731136i \(0.738991\pi\)
\(72\) −1.82396e6 3.78749e6i −0.0678711 0.140936i
\(73\) −4.32100e7 9.86240e6i −1.52157 0.347289i −0.621635 0.783307i \(-0.713531\pi\)
−0.899938 + 0.436018i \(0.856388\pi\)
\(74\) −6.26851e6 + 3.01875e6i −0.209044 + 0.100670i
\(75\) 1.47671e7 1.17764e7i 0.466714 0.372192i
\(76\) −4.34574e7 + 9.91887e6i −1.30260 + 0.297309i
\(77\) −2.87657e6 + 2.29399e6i −0.0818299 + 0.0652572i
\(78\) −825313. + 3.61593e6i −0.0222967 + 0.0976881i
\(79\) 6.29294e7 1.61564 0.807821 0.589428i \(-0.200647\pi\)
0.807821 + 0.589428i \(0.200647\pi\)
\(80\) 1.46544e7i 0.357773i
\(81\) 2.23519e6 9.79299e6i 0.0519246 0.227497i
\(82\) 6.23075e6 + 4.96886e6i 0.137811 + 0.109901i
\(83\) −3.31418e7 1.59602e7i −0.698334 0.336300i 0.0508087 0.998708i \(-0.483820\pi\)
−0.749143 + 0.662408i \(0.769534\pi\)
\(84\) 3.47315e6 1.67258e6i 0.0697600 0.0335946i
\(85\) 5.26015e6i 0.100768i
\(86\) −8.16469e6 2.43638e6i −0.149261 0.0445401i
\(87\) −3.48560e7 −0.608417
\(88\) 7.40612e6 + 1.53790e7i 0.123498 + 0.256446i
\(89\) −3.76148e7 + 7.81080e7i −0.599513 + 1.24490i 0.351626 + 0.936141i \(0.385629\pi\)
−0.951139 + 0.308762i \(0.900085\pi\)
\(90\) −1.24892e6 + 1.56609e6i −0.0190355 + 0.0238697i
\(91\) 6.94057e6 + 1.58414e6i 0.101211 + 0.0231008i
\(92\) −1.03298e8 −1.44192
\(93\) 9.39074e7i 1.25536i
\(94\) −1.26056e7 2.87715e6i −0.161455 0.0368511i
\(95\) 2.68152e7 + 3.36251e7i 0.329220 + 0.412829i
\(96\) −5.99385e6 2.62608e7i −0.0705701 0.309188i
\(97\) −2.48214e7 3.11250e7i −0.280375 0.351579i 0.621625 0.783315i \(-0.286473\pi\)
−0.902000 + 0.431736i \(0.857901\pi\)
\(98\) −6.15388e6 1.27787e7i −0.0667182 0.138542i
\(99\) 1.00488e7 4.40266e7i 0.104610 0.458326i
\(100\) −7.48387e7 + 3.60404e7i −0.748387 + 0.360404i
\(101\) 5.05043e7 6.33303e7i 0.485336 0.608592i −0.477516 0.878623i \(-0.658463\pi\)
0.962852 + 0.270031i \(0.0870340\pi\)
\(102\) 687486. + 3.01207e6i 0.00635131 + 0.0278269i
\(103\) 8.68072e6 + 3.80327e7i 0.0771271 + 0.337916i 0.998739 0.0501959i \(-0.0159846\pi\)
−0.921612 + 0.388112i \(0.873127\pi\)
\(104\) 1.43302e7 2.97569e7i 0.122495 0.254363i
\(105\) −2.90795e6 2.31901e6i −0.0239237 0.0190786i
\(106\) 2.01246e7 1.60488e7i 0.159405 0.127122i
\(107\) −2.01163e7 9.68749e6i −0.153466 0.0739054i 0.355574 0.934648i \(-0.384285\pi\)
−0.509040 + 0.860743i \(0.670000\pi\)
\(108\) −6.09173e7 + 1.26496e8i −0.447760 + 0.929783i
\(109\) −7.66203e7 9.60789e7i −0.542798 0.680647i 0.432476 0.901645i \(-0.357640\pi\)
−0.975274 + 0.220998i \(0.929068\pi\)
\(110\) 5.07120e6 6.35908e6i 0.0346369 0.0434334i
\(111\) 1.42861e8 + 6.87983e7i 0.941071 + 0.453196i
\(112\) −1.61068e7 + 3.67627e6i −0.102362 + 0.0233634i
\(113\) 1.65901e8 3.78657e7i 1.01750 0.232238i 0.318929 0.947779i \(-0.396677\pi\)
0.698571 + 0.715541i \(0.253820\pi\)
\(114\) −1.97496e7 1.57498e7i −0.116934 0.0932515i
\(115\) 4.32440e7 + 8.97970e7i 0.247249 + 0.513417i
\(116\) 1.49446e8 + 3.41101e7i 0.825378 + 0.188387i
\(117\) −7.87252e7 + 3.79120e7i −0.420117 + 0.202318i
\(118\) 3.17153e7 2.52921e7i 0.163584 0.130454i
\(119\) 5.78150e6 1.31959e6i 0.0288305 0.00658038i
\(120\) −1.34909e7 + 1.07587e7i −0.0650605 + 0.0518840i
\(121\) 6.89649e6 3.02155e7i 0.0321726 0.140958i
\(122\) 4.72632e6 0.0213345
\(123\) 1.81626e8i 0.793518i
\(124\) −9.18978e7 + 4.02631e8i −0.388703 + 1.70302i
\(125\) 1.36265e8 + 1.08667e8i 0.558140 + 0.445102i
\(126\) −2.03462e6 979823.i −0.00807238 0.00388745i
\(127\) 3.10009e8 1.49293e8i 1.19168 0.573883i 0.270387 0.962752i \(-0.412848\pi\)
0.921293 + 0.388869i \(0.127134\pi\)
\(128\) 1.57253e8i 0.585814i
\(129\) 7.26044e7 + 1.80100e8i 0.262183 + 0.650360i
\(130\) −1.57377e7 −0.0551021
\(131\) −1.45287e8 3.01692e8i −0.493335 1.02442i −0.987873 0.155265i \(-0.950377\pi\)
0.494538 0.869156i \(-0.335337\pi\)
\(132\) 8.33575e7 1.73094e8i 0.274567 0.570145i
\(133\) −3.02308e7 + 3.79082e7i −0.0966147 + 0.121151i
\(134\) −2.70136e7 6.16568e6i −0.0837844 0.0191232i
\(135\) 1.35465e8 0.407842
\(136\) 2.75121e7i 0.0804207i
\(137\) 2.17534e8 + 4.96508e7i 0.617512 + 0.140943i 0.519823 0.854274i \(-0.325998\pi\)
0.0976889 + 0.995217i \(0.468855\pi\)
\(138\) −3.64986e7 4.57678e7i −0.100638 0.126195i
\(139\) 1.91595e7 + 8.39434e7i 0.0513246 + 0.224868i 0.994085 0.108602i \(-0.0346375\pi\)
−0.942761 + 0.333470i \(0.891780\pi\)
\(140\) 1.01985e7 + 1.27885e7i 0.0265476 + 0.0332896i
\(141\) 1.27854e8 + 2.65492e8i 0.323473 + 0.671698i
\(142\) −2.18534e6 + 9.57461e6i −0.00537485 + 0.0235488i
\(143\) 3.19661e8 1.53941e8i 0.764444 0.368137i
\(144\) 1.26429e8 1.58537e8i 0.294034 0.368707i
\(145\) −3.29111e7 1.44193e8i −0.0744510 0.326191i
\(146\) 2.45794e7 + 1.07689e8i 0.0540954 + 0.237007i
\(147\) −1.40249e8 + 2.91229e8i −0.300351 + 0.623686i
\(148\) −5.45195e8 4.34779e8i −1.13633 0.906194i
\(149\) −3.11982e8 + 2.48798e8i −0.632973 + 0.504779i −0.886608 0.462521i \(-0.846945\pi\)
0.253636 + 0.967300i \(0.418374\pi\)
\(150\) −4.24112e7 2.04242e7i −0.0837753 0.0403440i
\(151\) 9.15975e7 1.90204e8i 0.176188 0.365858i −0.794109 0.607775i \(-0.792062\pi\)
0.970297 + 0.241918i \(0.0777764\pi\)
\(152\) 1.40251e8 + 1.75869e8i 0.262743 + 0.329469i
\(153\) −4.53814e7 + 5.69065e7i −0.0828157 + 0.103848i
\(154\) 8.26153e6 + 3.97854e6i 0.0146885 + 0.00707361i
\(155\) 3.88478e8 8.86676e7i 0.673038 0.153617i
\(156\) −3.62414e8 + 8.27185e7i −0.611936 + 0.139670i
\(157\) −3.23264e8 2.57795e8i −0.532058 0.424302i 0.320257 0.947331i \(-0.396231\pi\)
−0.852315 + 0.523028i \(0.824802\pi\)
\(158\) −6.80480e7 1.41303e8i −0.109191 0.226738i
\(159\) −5.71921e8 1.30537e8i −0.894844 0.204242i
\(160\) 1.02977e8 4.95909e7i 0.157130 0.0756697i
\(161\) −8.78486e7 + 7.00569e7i −0.130747 + 0.104267i
\(162\) −2.44064e7 + 5.57060e6i −0.0354359 + 0.00808802i
\(163\) −1.55696e8 + 1.24163e8i −0.220560 + 0.175891i −0.727536 0.686069i \(-0.759335\pi\)
0.506976 + 0.861960i \(0.330763\pi\)
\(164\) −1.77739e8 + 7.78724e8i −0.245701 + 1.07649i
\(165\) −1.85366e8 −0.250089
\(166\) 9.16758e7i 0.120732i
\(167\) 1.93486e8 8.47718e8i 0.248762 1.08990i −0.684022 0.729461i \(-0.739771\pi\)
0.932784 0.360436i \(-0.117372\pi\)
\(168\) −1.52094e7 1.21291e7i −0.0190930 0.0152262i
\(169\) 1.16432e8 + 5.60709e7i 0.142734 + 0.0687370i
\(170\) −1.18113e7 + 5.68801e6i −0.0141417 + 0.00681027i
\(171\) 5.95116e8i 0.696013i
\(172\) −1.35048e8 8.43232e8i −0.154303 0.963459i
\(173\) −2.72963e8 −0.304732 −0.152366 0.988324i \(-0.548689\pi\)
−0.152366 + 0.988324i \(0.548689\pi\)
\(174\) 3.76912e7 + 7.82666e7i 0.0411190 + 0.0853846i
\(175\) −3.92030e7 + 8.14058e7i −0.0417991 + 0.0867967i
\(176\) −5.13362e8 + 6.43736e8i −0.535024 + 0.670899i
\(177\) −9.01318e8 2.05720e8i −0.918301 0.209596i
\(178\) 2.16060e8 0.215226
\(179\) 1.16515e9i 1.13493i 0.823396 + 0.567467i \(0.192077\pi\)
−0.823396 + 0.567467i \(0.807923\pi\)
\(180\) −1.95732e8 4.46745e7i −0.186454 0.0425569i
\(181\) −6.90904e8 8.66366e8i −0.643730 0.807211i 0.347734 0.937593i \(-0.386951\pi\)
−0.991464 + 0.130382i \(0.958380\pi\)
\(182\) −3.94804e6 1.72975e7i −0.00359829 0.0157652i
\(183\) −6.71587e7 8.42143e7i −0.0598822 0.0750899i
\(184\) 2.26178e8 + 4.69664e8i 0.197324 + 0.409747i
\(185\) −1.49716e8 + 6.55950e8i −0.127815 + 0.559995i
\(186\) −2.10862e8 + 1.01546e8i −0.176176 + 0.0848419i
\(187\) 1.84270e8 2.31067e8i 0.150691 0.188961i
\(188\) −2.88367e8 1.26342e9i −0.230842 1.01138i
\(189\) 3.39834e7 + 1.48891e8i 0.0266330 + 0.116687i
\(190\) 4.65064e7 9.65716e7i 0.0356861 0.0741029i
\(191\) 1.34907e9 + 1.07584e9i 1.01368 + 0.808380i 0.981570 0.191104i \(-0.0612068\pi\)
0.0321071 + 0.999484i \(0.489778\pi\)
\(192\) 6.38751e8 5.09387e8i 0.470031 0.374837i
\(193\) 6.05617e8 + 2.91650e8i 0.436484 + 0.210200i 0.639204 0.769037i \(-0.279264\pi\)
−0.202720 + 0.979237i \(0.564978\pi\)
\(194\) −4.30486e7 + 8.93913e7i −0.0303915 + 0.0631085i
\(195\) 2.23625e8 + 2.80417e8i 0.154662 + 0.193939i
\(196\) 8.86317e8 1.11141e9i 0.600572 0.753093i
\(197\) 1.52676e7 + 7.35248e6i 0.0101369 + 0.00488168i 0.438945 0.898514i \(-0.355352\pi\)
−0.428808 + 0.903395i \(0.641066\pi\)
\(198\) −1.09725e8 + 2.50439e7i −0.0713910 + 0.0162945i
\(199\) −1.57549e9 + 3.59595e8i −1.00462 + 0.229299i −0.693024 0.720915i \(-0.743722\pi\)
−0.311600 + 0.950214i \(0.600865\pi\)
\(200\) 3.27729e8 + 2.61355e8i 0.204831 + 0.163347i
\(201\) 2.73989e8 + 5.68944e8i 0.167861 + 0.348566i
\(202\) −1.96816e8 4.49219e7i −0.118210 0.0269807i
\(203\) 1.50228e8 7.23460e7i 0.0884641 0.0426021i
\(204\) −2.42098e8 + 1.93066e8i −0.139788 + 0.111477i
\(205\) 7.51352e8 1.71491e8i 0.425430 0.0971016i
\(206\) 7.60128e7 6.06182e7i 0.0422103 0.0336616i
\(207\) 3.06884e8 1.34455e9i 0.167145 0.732309i
\(208\) 1.59314e9 0.851142
\(209\) 2.41645e9i 1.26646i
\(210\) −2.06268e6 + 9.03721e6i −0.00106061 + 0.00464683i
\(211\) −2.46695e9 1.96733e9i −1.24460 0.992538i −0.999736 0.0229817i \(-0.992684\pi\)
−0.244868 0.969557i \(-0.578745\pi\)
\(212\) 2.32438e9 + 1.11936e9i 1.15071 + 0.554150i
\(213\) 2.01655e8 9.71118e7i 0.0979693 0.0471795i
\(214\) 5.56450e7i 0.0265321i
\(215\) −6.76486e8 + 4.70401e8i −0.316596 + 0.220148i
\(216\) 7.08520e8 0.325489
\(217\) 1.94911e8 + 4.04737e8i 0.0879018 + 0.182530i
\(218\) −1.32885e8 + 2.75939e8i −0.0588370 + 0.122176i
\(219\) 1.56957e9 1.96817e9i 0.682344 0.855632i
\(220\) 7.94763e8 + 1.81399e8i 0.339271 + 0.0774364i
\(221\) −5.71855e8 −0.239727
\(222\) 3.95178e8i 0.162698i
\(223\) 1.34717e9 + 3.07484e8i 0.544759 + 0.124338i 0.486040 0.873937i \(-0.338441\pi\)
0.0587195 + 0.998275i \(0.481298\pi\)
\(224\) 8.03392e7 + 1.00742e8i 0.0319106 + 0.0400147i
\(225\) −2.46773e8 1.08118e9i −0.0962870 0.421861i
\(226\) −2.64419e8 3.31572e8i −0.101358 0.127099i
\(227\) 1.17558e9 + 2.44112e9i 0.442741 + 0.919360i 0.996250 + 0.0865177i \(0.0275739\pi\)
−0.553510 + 0.832843i \(0.686712\pi\)
\(228\) 5.63379e8 2.46833e9i 0.208479 0.913405i
\(229\) 2.54108e9 1.22372e9i 0.924008 0.444979i 0.0895078 0.995986i \(-0.471471\pi\)
0.834501 + 0.551007i \(0.185756\pi\)
\(230\) 1.54871e8 1.94202e8i 0.0553425 0.0693973i
\(231\) −4.65020e7 2.03738e8i −0.0163314 0.0715525i
\(232\) −1.72135e8 7.54171e8i −0.0594177 0.260326i
\(233\) −1.39570e9 + 2.89820e9i −0.473553 + 0.983343i 0.518210 + 0.855254i \(0.326599\pi\)
−0.991763 + 0.128089i \(0.959116\pi\)
\(234\) 1.70257e8 + 1.35776e8i 0.0567861 + 0.0452854i
\(235\) −9.77570e8 + 7.79586e8i −0.320536 + 0.255619i
\(236\) 3.66311e9 + 1.76406e9i 1.18087 + 0.568677i
\(237\) −1.55083e9 + 3.22034e9i −0.491555 + 1.02072i
\(238\) −9.21480e6 1.15550e7i −0.00287196 0.00360132i
\(239\) −3.69887e9 + 4.63824e9i −1.13365 + 1.42155i −0.241155 + 0.970487i \(0.577526\pi\)
−0.892493 + 0.451062i \(0.851045\pi\)
\(240\) −7.49921e8 3.61143e8i −0.226032 0.108851i
\(241\) −2.14597e9 + 4.89803e8i −0.636143 + 0.145196i −0.528417 0.848985i \(-0.677214\pi\)
−0.107726 + 0.994181i \(0.534357\pi\)
\(242\) −7.53041e7 + 1.71877e7i −0.0219562 + 0.00501136i
\(243\) −2.43716e9 1.94357e9i −0.698969 0.557410i
\(244\) 2.05532e8 + 4.26792e8i 0.0579857 + 0.120409i
\(245\) −1.33719e9 3.05204e8i −0.371131 0.0847083i
\(246\) −4.07827e8 + 1.96399e8i −0.111361 + 0.0536289i
\(247\) 3.65554e9 2.91520e9i 0.982119 0.783214i
\(248\) 2.03185e9 4.63757e8i 0.537137 0.122598i
\(249\) 1.63349e9 1.30267e9i 0.424933 0.338873i
\(250\) 9.66561e7 4.23478e8i 0.0247440 0.108410i
\(251\) 3.71313e9 0.935504 0.467752 0.883860i \(-0.345064\pi\)
0.467752 + 0.883860i \(0.345064\pi\)
\(252\) 2.26338e8i 0.0561250i
\(253\) −1.24609e9 + 5.45949e9i −0.304136 + 1.33251i
\(254\) −6.70450e8 5.34666e8i −0.161076 0.128454i
\(255\) 2.69182e8 + 1.29631e8i 0.0636628 + 0.0306584i
\(256\) −2.96454e9 + 1.42765e9i −0.690236 + 0.332400i
\(257\) 8.43650e9i 1.93388i −0.255002 0.966941i \(-0.582076\pi\)
0.255002 0.966941i \(-0.417924\pi\)
\(258\) 3.25890e8 3.57776e8i 0.0735516 0.0807482i
\(259\) −7.58521e8 −0.168566
\(260\) −6.84383e8 1.42114e9i −0.149763 0.310987i
\(261\) −8.87965e8 + 1.84388e9i −0.191352 + 0.397347i
\(262\) −5.20322e8 + 6.52463e8i −0.110425 + 0.138468i
\(263\) −7.73250e9 1.76489e9i −1.61621 0.368888i −0.683620 0.729838i \(-0.739596\pi\)
−0.932585 + 0.360949i \(0.882453\pi\)
\(264\) −9.69519e8 −0.199591
\(265\) 2.48919e9i 0.504747i
\(266\) 1.17810e8 + 2.68893e7i 0.0235318 + 0.00537098i
\(267\) −3.07011e9 3.84979e9i −0.604100 0.757517i
\(268\) −6.17967e8 2.70749e9i −0.119791 0.524841i
\(269\) 3.10552e9 + 3.89420e9i 0.593097 + 0.743720i 0.984284 0.176591i \(-0.0565070\pi\)
−0.391187 + 0.920311i \(0.627936\pi\)
\(270\) −1.46483e8 3.04176e8i −0.0275635 0.0572361i
\(271\) −1.98717e8 + 8.70636e8i −0.0368432 + 0.161421i −0.990003 0.141047i \(-0.954953\pi\)
0.953160 + 0.302467i \(0.0978104\pi\)
\(272\) 1.19567e9 5.75803e8i 0.218441 0.105196i
\(273\) −2.52110e8 + 3.16136e8i −0.0453879 + 0.0569146i
\(274\) −1.23741e8 5.42146e8i −0.0219539 0.0961865i
\(275\) 1.00202e9 + 4.39012e9i 0.175204 + 0.767618i
\(276\) 2.54568e9 5.28617e9i 0.438701 0.910971i
\(277\) −7.39544e9 5.89766e9i −1.25616 1.00175i −0.999377 0.0352841i \(-0.988766\pi\)
−0.256782 0.966469i \(-0.582662\pi\)
\(278\) 1.67771e8 1.33793e8i 0.0280890 0.0224003i
\(279\) −4.96769e9 2.39231e9i −0.819856 0.394822i
\(280\) 3.58151e7 7.43708e7i 0.00582685 0.0120996i
\(281\) 2.64933e9 + 3.32216e9i 0.424924 + 0.532838i 0.947500 0.319755i \(-0.103601\pi\)
−0.522576 + 0.852592i \(0.675029\pi\)
\(282\) 4.57888e8 5.74173e8i 0.0724040 0.0907917i
\(283\) −2.88352e9 1.38863e9i −0.449550 0.216492i 0.195389 0.980726i \(-0.437403\pi\)
−0.644939 + 0.764234i \(0.723117\pi\)
\(284\) −9.59634e8 + 2.19030e8i −0.147514 + 0.0336690i
\(285\) −2.38156e9 + 5.43576e8i −0.360980 + 0.0823912i
\(286\) −6.91325e8 5.51313e8i −0.103328 0.0824013i
\(287\) 3.76976e8 + 7.82799e8i 0.0555631 + 0.115378i
\(288\) −1.54189e9 3.51925e8i −0.224121 0.0511541i
\(289\) 5.85576e9 2.81998e9i 0.839444 0.404255i
\(290\) −2.88187e8 + 2.29821e8i −0.0407457 + 0.0324936i
\(291\) 2.20449e9 5.03160e8i 0.307423 0.0701672i
\(292\) −8.65561e9 + 6.90262e9i −1.19060 + 0.949473i
\(293\) −2.03212e9 + 8.90330e9i −0.275727 + 1.20804i 0.627412 + 0.778688i \(0.284114\pi\)
−0.903138 + 0.429350i \(0.858743\pi\)
\(294\) 8.05590e8 0.107826
\(295\) 3.92283e9i 0.517978i
\(296\) −7.83059e8 + 3.43081e9i −0.102006 + 0.446920i
\(297\) 5.95069e9 + 4.74551e9i 0.764788 + 0.609898i
\(298\) 8.96015e8 + 4.31498e8i 0.113619 + 0.0547159i
\(299\) 9.76225e9 4.70125e9i 1.22142 0.588205i
\(300\) 4.71797e9i 0.582466i
\(301\) −6.86731e8 6.25527e8i −0.0836605 0.0762044i
\(302\) −5.26137e8 −0.0632515
\(303\) 1.99623e9 + 4.14522e9i 0.236832 + 0.491786i
\(304\) −4.70789e9 + 9.77604e9i −0.551229 + 1.14464i
\(305\) 2.84968e8 3.57338e8i 0.0329304 0.0412934i
\(306\) 1.76852e8 + 4.03653e7i 0.0201709 + 0.00460387i
\(307\) −9.27678e8 −0.104434 −0.0522172 0.998636i \(-0.516629\pi\)
−0.0522172 + 0.998636i \(0.516629\pi\)
\(308\) 9.19041e8i 0.102125i
\(309\) −2.16021e9 4.93054e8i −0.236953 0.0540830i
\(310\) −6.19173e8 7.76418e8i −0.0670448 0.0840715i
\(311\) 2.56726e9 + 1.12479e10i 0.274427 + 1.20235i 0.904727 + 0.425993i \(0.140075\pi\)
−0.630299 + 0.776352i \(0.717068\pi\)
\(312\) 1.16962e9 + 1.46666e9i 0.123432 + 0.154779i
\(313\) 5.21465e9 + 1.08283e10i 0.543311 + 1.12820i 0.974178 + 0.225781i \(0.0724934\pi\)
−0.430867 + 0.902415i \(0.641792\pi\)
\(314\) −2.29300e8 + 1.00463e9i −0.0235877 + 0.103344i
\(315\) −1.96756e8 + 9.47526e7i −0.0199841 + 0.00962385i
\(316\) 9.80067e9 1.22897e10i 0.982896 1.23251i
\(317\) −1.60795e9 7.04490e9i −0.159234 0.697650i −0.990005 0.141035i \(-0.954957\pi\)
0.830771 0.556615i \(-0.187900\pi\)
\(318\) 3.25329e8 + 1.42536e9i 0.0318137 + 0.139385i
\(319\) 3.60556e9 7.48702e9i 0.348185 0.723013i
\(320\) 2.71035e9 + 2.16143e9i 0.258479 + 0.206130i
\(321\) 9.91493e8 7.90689e8i 0.0933834 0.0744707i
\(322\) 2.52302e8 + 1.21502e8i 0.0234691 + 0.0113021i
\(323\) 1.68989e9 3.50908e9i 0.155256 0.322392i
\(324\) −1.56439e9 1.96168e9i −0.141960 0.178012i
\(325\) 5.43242e9 6.81204e9i 0.486923 0.610582i
\(326\) 4.47160e8 + 2.15341e8i 0.0395906 + 0.0190658i
\(327\) 6.80496e9 1.55319e9i 0.595161 0.135842i
\(328\) 3.92978e9 8.96948e8i 0.339526 0.0774947i
\(329\) −1.10209e9 8.78888e8i −0.0940663 0.0750153i
\(330\) 2.00444e8 + 4.16226e8i 0.0169020 + 0.0350973i
\(331\) −1.36661e10 3.11920e9i −1.13850 0.259855i −0.388599 0.921407i \(-0.627041\pi\)
−0.749899 + 0.661552i \(0.769898\pi\)
\(332\) −8.27844e9 + 3.98669e9i −0.681391 + 0.328141i
\(333\) 7.27884e9 5.80468e9i 0.591950 0.472065i
\(334\) −2.11271e9 + 4.82213e8i −0.169767 + 0.0387483i
\(335\) −2.09492e9 + 1.67064e9i −0.166337 + 0.132649i
\(336\) 2.08808e8 9.14846e8i 0.0163828 0.0717779i
\(337\) 1.42749e10 1.10676 0.553381 0.832928i \(-0.313337\pi\)
0.553381 + 0.832928i \(0.313337\pi\)
\(338\) 3.22072e8i 0.0246766i
\(339\) −2.15073e9 + 9.42294e9i −0.162849 + 0.713490i
\(340\) −1.02727e9 8.19220e8i −0.0768721 0.0613034i
\(341\) 2.01712e10 + 9.71392e9i 1.49181 + 0.718418i
\(342\) −1.33629e9 + 6.43523e8i −0.0976778 + 0.0470391i
\(343\) 3.11262e9i 0.224880i
\(344\) −3.53821e9 + 2.46033e9i −0.252668 + 0.175695i
\(345\) −5.66097e9 −0.399590
\(346\) 2.95165e8 + 6.12917e8i 0.0205949 + 0.0427658i
\(347\) 7.91379e9 1.64332e10i 0.545842 1.13345i −0.427484 0.904023i \(-0.640600\pi\)
0.973325 0.229429i \(-0.0736859\pi\)
\(348\) −5.42851e9 + 6.80713e9i −0.370138 + 0.464138i
\(349\) −2.03415e10 4.64282e9i −1.37114 0.312954i −0.527359 0.849642i \(-0.676818\pi\)
−0.843780 + 0.536689i \(0.819675\pi\)
\(350\) 2.25182e8 0.0150059
\(351\) 1.47270e10i 0.970255i
\(352\) 6.26078e9 + 1.42898e9i 0.407810 + 0.0930800i
\(353\) 2.86835e9 + 3.59680e9i 0.184728 + 0.231642i 0.865569 0.500790i \(-0.166957\pi\)
−0.680841 + 0.732431i \(0.738386\pi\)
\(354\) 5.12702e8 + 2.24630e9i 0.0326477 + 0.143039i
\(355\) 5.92137e8 + 7.42516e8i 0.0372828 + 0.0467511i
\(356\) 9.39576e9 + 1.95105e10i 0.584968 + 1.21470i
\(357\) −7.49510e7 + 3.28382e8i −0.00461428 + 0.0202165i
\(358\) 2.61626e9 1.25993e9i 0.159276 0.0767031i
\(359\) 8.85055e9 1.10982e10i 0.532834 0.668153i −0.440444 0.897780i \(-0.645179\pi\)
0.973279 + 0.229627i \(0.0737505\pi\)
\(360\) 2.25447e8 + 9.87748e8i 0.0134225 + 0.0588080i
\(361\) 3.30691e9 + 1.44885e10i 0.194712 + 0.853091i
\(362\) −1.19826e9 + 2.48821e9i −0.0697776 + 0.144895i
\(363\) 1.37629e9 + 1.09755e9i 0.0792652 + 0.0632119i
\(364\) 1.39030e9 1.10873e9i 0.0791960 0.0631567i
\(365\) 9.62397e9 + 4.63466e9i 0.542229 + 0.261124i
\(366\) −1.16476e8 + 2.41864e8i −0.00649098 + 0.0134787i
\(367\) 3.27446e9 + 4.10605e9i 0.180499 + 0.226339i 0.863847 0.503754i \(-0.168048\pi\)
−0.683348 + 0.730093i \(0.739477\pi\)
\(368\) −1.56778e10 + 1.96593e10i −0.854855 + 1.07195i
\(369\) −9.60797e9 4.62695e9i −0.518234 0.249568i
\(370\) 1.63478e9 3.73128e8i 0.0872273 0.0199091i
\(371\) 2.73590e9 6.24450e8i 0.144412 0.0329611i
\(372\) −1.83394e10 1.46252e10i −0.957667 0.763714i
\(373\) 7.97366e9 + 1.65575e10i 0.411929 + 0.855380i 0.998950 + 0.0458080i \(0.0145862\pi\)
−0.587021 + 0.809572i \(0.699699\pi\)
\(374\) −7.18103e8 1.63902e8i −0.0367029 0.00837719i
\(375\) −8.91904e9 + 4.29518e9i −0.451017 + 0.217198i
\(376\) −5.11297e9 + 4.07746e9i −0.255813 + 0.204004i
\(377\) −1.56759e10 + 3.57792e9i −0.776009 + 0.177119i
\(378\) 2.97576e8 2.37309e8i 0.0145757 0.0116238i
\(379\) 4.99726e9 2.18944e10i 0.242200 1.06115i −0.696809 0.717257i \(-0.745397\pi\)
0.939009 0.343892i \(-0.111745\pi\)
\(380\) 1.07430e10 0.515216
\(381\) 1.95436e10i 0.927478i
\(382\) 9.56928e8 4.19258e9i 0.0449393 0.196892i
\(383\) −2.40921e10 1.92128e10i −1.11964 0.892884i −0.124587 0.992209i \(-0.539760\pi\)
−0.995055 + 0.0993243i \(0.968332\pi\)
\(384\) −8.04726e9 3.87535e9i −0.370103 0.178232i
\(385\) 7.98922e8 3.84740e8i 0.0363631 0.0175116i
\(386\) 1.67524e9i 0.0754619i
\(387\) 1.13769e10 + 7.47315e8i 0.507199 + 0.0333166i
\(388\) −9.94419e9 −0.438776
\(389\) −1.53088e10 3.17891e10i −0.668565 1.38829i −0.908659 0.417540i \(-0.862892\pi\)
0.240094 0.970750i \(-0.422822\pi\)
\(390\) 3.87841e8 8.05360e8i 0.0167647 0.0348122i
\(391\) 5.62749e9 7.05665e9i 0.240773 0.301920i
\(392\) −6.99386e9 1.59630e9i −0.296192 0.0676038i
\(393\) 1.90192e10 0.797301
\(394\) 4.22327e7i 0.00175252i
\(395\) −1.47863e10 3.37487e9i −0.607393 0.138634i
\(396\) −7.03308e9 8.81920e9i −0.285999 0.358632i
\(397\) −3.27632e9 1.43545e10i −0.131894 0.577864i −0.997077 0.0764079i \(-0.975655\pi\)
0.865183 0.501456i \(-0.167202\pi\)
\(398\) 2.51108e9 + 3.14880e9i 0.100076 + 0.125491i
\(399\) −1.19490e9 2.48124e9i −0.0471456 0.0978988i
\(400\) −4.49935e9 + 1.97129e10i −0.175756 + 0.770036i
\(401\) −2.42817e10 + 1.16934e10i −0.939076 + 0.452235i −0.839843 0.542829i \(-0.817353\pi\)
−0.0992329 + 0.995064i \(0.531639\pi\)
\(402\) 9.81246e8 1.23044e9i 0.0375728 0.0471148i
\(403\) −9.63946e9 4.22332e10i −0.365454 1.60116i
\(404\) −4.50238e9 1.97262e10i −0.169012 0.740489i
\(405\) −1.05039e9 + 2.18115e9i −0.0390417 + 0.0810709i
\(406\) −3.24895e8 2.59095e8i −0.0119575 0.00953576i
\(407\) −2.95555e10 + 2.35697e10i −1.07711 + 0.858969i
\(408\) 1.40790e9 + 6.78009e8i 0.0508079 + 0.0244678i
\(409\) −1.13670e10 + 2.36038e10i −0.406212 + 0.843507i 0.593053 + 0.805163i \(0.297922\pi\)
−0.999265 + 0.0383435i \(0.987792\pi\)
\(410\) −1.19754e9 1.50166e9i −0.0423793 0.0531419i
\(411\) −7.90175e9 + 9.90848e9i −0.276921 + 0.347248i
\(412\) 8.77946e9 + 4.22797e9i 0.304705 + 0.146738i
\(413\) 4.31163e9 9.84102e8i 0.148198 0.0338252i
\(414\) −3.35092e9 + 7.64826e8i −0.114068 + 0.0260352i
\(415\) 6.93125e9 + 5.52749e9i 0.233679 + 0.186353i
\(416\) −5.39126e9 1.11951e10i −0.180018 0.373812i
\(417\) −4.76788e9 1.08824e9i −0.157682 0.0359898i
\(418\) 5.42596e9 2.61301e9i 0.177734 0.0855924i
\(419\) 4.60735e10 3.67424e10i 1.49484 1.19210i 0.564485 0.825443i \(-0.309075\pi\)
0.930357 0.366654i \(-0.119497\pi\)
\(420\) −9.05771e8 + 2.06736e8i −0.0291086 + 0.00664385i
\(421\) −1.59491e9 + 1.27190e9i −0.0507702 + 0.0404879i −0.648546 0.761175i \(-0.724623\pi\)
0.597776 + 0.801663i \(0.296051\pi\)
\(422\) −1.74988e9 + 7.66671e9i −0.0551769 + 0.241746i
\(423\) 1.73016e10 0.540411
\(424\) 1.30192e10i 0.402828i
\(425\) 1.61503e9 7.07590e9i 0.0495022 0.216883i
\(426\) −4.36115e8 3.47790e8i −0.0132423 0.0105604i
\(427\) 4.64244e8 + 2.23568e8i 0.0139648 + 0.00672509i
\(428\) −5.02482e9 + 2.41983e9i −0.149743 + 0.0721123i
\(429\) 2.01520e10i 0.594963i
\(430\) 1.78776e9 + 1.01033e9i 0.0522921 + 0.0295523i
\(431\) 1.89706e10 0.549757 0.274879 0.961479i \(-0.411362\pi\)
0.274879 + 0.961479i \(0.411362\pi\)
\(432\) 1.48287e10 + 3.07921e10i 0.425762 + 0.884105i
\(433\) −7.24033e9 + 1.50347e10i −0.205971 + 0.427704i −0.978207 0.207632i \(-0.933424\pi\)
0.772236 + 0.635336i \(0.219139\pi\)
\(434\) 6.98042e8 8.75317e8i 0.0196754 0.0246721i
\(435\) 8.18998e9 + 1.86931e9i 0.228731 + 0.0522065i
\(436\) −3.06964e10 −0.849457
\(437\) 7.37969e10i 2.02354i
\(438\) −6.11662e9 1.39608e9i −0.166194 0.0379327i
\(439\) 1.45140e10 + 1.82000e10i 0.390778 + 0.490020i 0.937838 0.347074i \(-0.112825\pi\)
−0.547060 + 0.837093i \(0.684253\pi\)
\(440\) −9.15421e8 4.01072e9i −0.0244236 0.107007i
\(441\) 1.18331e10 + 1.48383e10i 0.312856 + 0.392310i
\(442\) 6.18370e8 + 1.28406e9i 0.0162016 + 0.0336431i
\(443\) 2.65372e9 1.16267e10i 0.0689032 0.301885i −0.928721 0.370780i \(-0.879090\pi\)
0.997624 + 0.0688954i \(0.0219475\pi\)
\(444\) 3.56851e10 1.71850e10i 0.918238 0.442200i
\(445\) 1.30271e10 1.63355e10i 0.332206 0.416573i
\(446\) −7.66321e8 3.35747e9i −0.0193674 0.0848542i
\(447\) −5.04343e9 2.20967e10i −0.126327 0.553475i
\(448\) −1.69572e9 + 3.52121e9i −0.0420962 + 0.0874137i
\(449\) 2.47803e10 + 1.97616e10i 0.609707 + 0.486225i 0.878993 0.476835i \(-0.158216\pi\)
−0.269286 + 0.963060i \(0.586788\pi\)
\(450\) −2.16087e9 + 1.72324e9i −0.0526961 + 0.0420238i
\(451\) 3.90129e10 + 1.87876e10i 0.942978 + 0.454114i
\(452\) 1.84426e10 3.82964e10i 0.441843 0.917496i
\(453\) 7.47615e9 + 9.37480e9i 0.177536 + 0.222623i
\(454\) 4.21015e9 5.27936e9i 0.0991001 0.124268i
\(455\) −1.54584e9 7.44438e8i −0.0360678 0.0173693i
\(456\) −1.24563e10 + 2.84306e9i −0.288090 + 0.0657547i
\(457\) −6.26056e10 + 1.42893e10i −1.43532 + 0.327602i −0.868274 0.496085i \(-0.834770\pi\)
−0.567045 + 0.823687i \(0.691913\pi\)
\(458\) −5.49553e9 4.38254e9i −0.124896 0.0996011i
\(459\) −5.32271e9 1.10527e10i −0.119917 0.249011i
\(460\) 2.42716e10 + 5.53982e9i 0.542084 + 0.123727i
\(461\) 3.95499e10 1.90462e10i 0.875673 0.421702i 0.0586306 0.998280i \(-0.481327\pi\)
0.817042 + 0.576578i \(0.195612\pi\)
\(462\) −4.07195e8 + 3.24727e8i −0.00893788 + 0.00712772i
\(463\) −3.64936e10 + 8.32942e9i −0.794132 + 0.181255i −0.600295 0.799778i \(-0.704950\pi\)
−0.193837 + 0.981034i \(0.562093\pi\)
\(464\) 2.91734e10 2.32650e10i 0.629383 0.501917i
\(465\) −5.03620e9 + 2.20651e10i −0.107719 + 0.471947i
\(466\) 8.01692e9 0.170006
\(467\) 9.05252e10i 1.90328i −0.307221 0.951638i \(-0.599399\pi\)
0.307221 0.951638i \(-0.400601\pi\)
\(468\) −4.85677e9 + 2.12789e10i −0.101243 + 0.443574i
\(469\) −2.36176e9 1.88344e9i −0.0488141 0.0389279i
\(470\) 2.80759e9 + 1.35206e9i 0.0575363 + 0.0277080i
\(471\) 2.11589e10 1.01896e10i 0.429942 0.207049i
\(472\) 2.05175e10i 0.413387i
\(473\) −4.61954e10 3.03445e9i −0.922899 0.0606228i
\(474\) 8.90801e9 0.176469
\(475\) 2.57475e10 + 5.34653e10i 0.505779 + 1.05026i
\(476\) 6.42708e8 1.33460e9i 0.0125195 0.0259970i
\(477\) −2.14752e10 + 2.69291e10i −0.414824 + 0.520173i
\(478\) 1.44146e10 + 3.29003e9i 0.276115 + 0.0630214i
\(479\) −1.62114e9 −0.0307948 −0.0153974 0.999881i \(-0.504901\pi\)
−0.0153974 + 0.999881i \(0.504901\pi\)
\(480\) 6.49183e9i 0.122293i
\(481\) 7.13114e10 + 1.62764e10i 1.33223 + 0.304072i
\(482\) 3.42033e9 + 4.28896e9i 0.0633695 + 0.0794629i
\(483\) −1.42014e9 6.22204e9i −0.0260941 0.114326i
\(484\) −4.82680e9 6.05262e9i −0.0879586 0.110297i
\(485\) 4.16296e9 + 8.64448e9i 0.0752377 + 0.156233i
\(486\) −1.72874e9 + 7.57410e9i −0.0309874 + 0.135764i
\(487\) 9.91572e9 4.77516e9i 0.176282 0.0848930i −0.343661 0.939094i \(-0.611667\pi\)
0.519944 + 0.854201i \(0.325953\pi\)
\(488\) 1.49046e9 1.86898e9i 0.0262810 0.0329553i
\(489\) −2.51695e9 1.10275e10i −0.0440188 0.192859i
\(490\) 7.60639e8 + 3.33258e9i 0.0131945 + 0.0578091i
\(491\) 2.18468e10 4.53654e10i 0.375892 0.780547i −0.624108 0.781338i \(-0.714538\pi\)
1.00000 0.000791029i \(0.000251792\pi\)
\(492\) −3.54702e10 2.82865e10i −0.605345 0.482746i
\(493\) −1.04717e10 + 8.35092e9i −0.177268 + 0.141367i
\(494\) −1.04987e10 5.05593e9i −0.176291 0.0848972i
\(495\) −4.72225e9 + 9.80585e9i −0.0786553 + 0.163329i
\(496\) 6.26795e10 + 7.85976e10i 1.03562 + 1.29862i
\(497\) −6.67562e8 + 8.37096e8i −0.0109412 + 0.0137199i
\(498\) −4.69141e9 2.25926e9i −0.0762756 0.0367324i
\(499\) −5.70395e10 + 1.30189e10i −0.919970 + 0.209977i −0.656181 0.754603i \(-0.727829\pi\)
−0.263789 + 0.964580i \(0.584972\pi\)
\(500\) 4.24439e10 9.68754e9i 0.679102 0.155001i
\(501\) 3.86127e10 + 3.07926e10i 0.612886 + 0.488760i
\(502\) −4.01516e9 8.33756e9i −0.0632249 0.131288i
\(503\) −6.11359e10 1.39539e10i −0.955046 0.217983i −0.283522 0.958966i \(-0.591503\pi\)
−0.671524 + 0.740983i \(0.734360\pi\)
\(504\) −1.02909e9 + 4.95583e8i −0.0159489 + 0.00768059i
\(505\) −1.52632e10 + 1.21720e10i −0.234681 + 0.187152i
\(506\) 1.36063e10 3.10555e9i 0.207558 0.0473737i
\(507\) −5.73873e9 + 4.57649e9i −0.0868529 + 0.0692629i
\(508\) 1.91253e10 8.37935e10i 0.287180 1.25822i
\(509\) −1.13360e11 −1.68884 −0.844421 0.535680i \(-0.820055\pi\)
−0.844421 + 0.535680i \(0.820055\pi\)
\(510\) 7.44604e8i 0.0110064i
\(511\) −2.67969e9 + 1.17405e10i −0.0393008 + 0.172188i
\(512\) 3.78854e10 + 3.02126e10i 0.551305 + 0.439651i
\(513\) 9.03696e10 + 4.35197e10i 1.30483 + 0.628372i
\(514\) −1.89435e10 + 9.12272e9i −0.271399 + 0.130699i
\(515\) 9.40194e9i 0.133656i
\(516\) 4.64796e10 + 1.38697e10i 0.655637 + 0.195645i
\(517\) −7.02525e10 −0.983331
\(518\) 8.20219e8 + 1.70320e9i 0.0113923 + 0.0236563i
\(519\) 6.72690e9 1.39686e10i 0.0927141 0.192523i
\(520\) −4.96295e9 + 6.22335e9i −0.0678776 + 0.0851159i
\(521\) −6.62046e10 1.51108e10i −0.898540 0.205086i −0.251784 0.967783i \(-0.581017\pi\)
−0.646755 + 0.762698i \(0.723875\pi\)
\(522\) 5.10048e9 0.0686957
\(523\) 8.43954e9i 0.112801i −0.998408 0.0564004i \(-0.982038\pi\)
0.998408 0.0564004i \(-0.0179623\pi\)
\(524\) −8.15453e10 1.86122e10i −1.08162 0.246872i
\(525\) −3.19973e9 4.01234e9i −0.0421189 0.0528154i
\(526\) 4.39852e9 + 1.92712e10i 0.0574597 + 0.251748i
\(527\) −2.24986e10 2.82124e10i −0.291685 0.365761i
\(528\) −2.02911e10 4.21350e10i −0.261078 0.542135i
\(529\) −2.06290e10 + 9.03817e10i −0.263425 + 1.15414i
\(530\) −5.58928e9 + 2.69166e9i −0.0708357 + 0.0341127i
\(531\) −3.38439e10 + 4.24388e10i −0.425698 + 0.533809i
\(532\) 2.69503e9 + 1.18077e10i 0.0336448 + 0.147407i
\(533\) −1.86436e10 8.16829e10i −0.231005 1.01210i
\(534\) −5.32459e9 + 1.10566e10i −0.0654819 + 0.135975i
\(535\) 4.20711e9 + 3.35506e9i 0.0513533 + 0.0409529i
\(536\) −1.09570e10 + 8.73793e9i −0.132750 + 0.105864i
\(537\) −5.96254e10 2.87141e10i −0.717025 0.345301i
\(538\) 5.38602e9 1.11842e10i 0.0642893 0.133498i
\(539\) −4.80481e10 6.02504e10i −0.569273 0.713846i
\(540\) 2.10974e10 2.64553e10i 0.248115 0.311127i
\(541\) −3.50996e10 1.69031e10i −0.409745 0.197323i 0.217645 0.976028i \(-0.430162\pi\)
−0.627390 + 0.778705i \(0.715877\pi\)
\(542\) 2.16983e9 4.95249e8i 0.0251436 0.00573887i
\(543\) 6.13620e10 1.40055e10i 0.705830 0.161101i
\(544\) −8.09236e9 6.45344e9i −0.0924016 0.0736878i
\(545\) 1.28505e10 + 2.66844e10i 0.145658 + 0.302462i
\(546\) 9.82477e8 + 2.24244e8i 0.0110548 + 0.00252319i
\(547\) −4.55493e10 + 2.19354e10i −0.508783 + 0.245017i −0.670621 0.741800i \(-0.733972\pi\)
0.161838 + 0.986817i \(0.448258\pi\)
\(548\) 4.35754e10 3.47502e10i 0.483191 0.385332i
\(549\) −6.16581e9 + 1.40730e9i −0.0678735 + 0.0154917i
\(550\) 8.77416e9 6.99716e9i 0.0958859 0.0764664i
\(551\) 2.43685e10 1.06765e11i 0.264376 1.15831i
\(552\) −2.96085e10 −0.318904
\(553\) 1.70984e10i 0.182833i
\(554\) −5.24578e9 + 2.29833e10i −0.0556892 + 0.243990i
\(555\) −2.98779e10 2.38268e10i −0.314904 0.251128i
\(556\) 1.93775e10 + 9.33169e9i 0.202767 + 0.0976475i
\(557\) −7.51827e10 + 3.62061e10i −0.781083 + 0.376150i −0.781544 0.623850i \(-0.785567\pi\)
0.000461201 1.00000i \(0.499853\pi\)
\(558\) 1.37415e10i 0.141741i
\(559\) 5.11395e10 + 7.35439e10i 0.523732 + 0.753181i
\(560\) 3.98171e9 0.0404871
\(561\) 7.28345e9 + 1.51242e10i 0.0735336 + 0.152694i
\(562\) 4.59483e9 9.54126e9i 0.0460600 0.0956446i
\(563\) 2.87677e10 3.60736e10i 0.286333 0.359051i −0.617774 0.786356i \(-0.711965\pi\)
0.904108 + 0.427305i \(0.140537\pi\)
\(564\) 7.17606e10 + 1.63789e10i 0.709202 + 0.161871i
\(565\) −4.10117e10 −0.402452
\(566\) 7.97631e9i 0.0777207i
\(567\) −2.66083e9 6.07317e8i −0.0257445 0.00587602i
\(568\) 3.09704e9 + 3.88357e9i 0.0297546 + 0.0373111i
\(569\) −4.12746e7 1.80836e8i −0.000393762 0.00172518i 0.974731 0.223383i \(-0.0717102\pi\)
−0.975124 + 0.221658i \(0.928853\pi\)
\(570\) 3.79584e9 + 4.75983e9i 0.0359591 + 0.0450912i
\(571\) −2.01786e10 4.19012e10i −0.189822 0.394169i 0.784238 0.620460i \(-0.213054\pi\)
−0.974060 + 0.226291i \(0.927340\pi\)
\(572\) 1.97208e10 8.64024e10i 0.184221 0.807126i
\(573\) −8.83015e10 + 4.25238e10i −0.819124 + 0.394469i
\(574\) 1.35008e9 1.69294e9i 0.0124369 0.0155953i
\(575\) 3.06009e10 + 1.34071e11i 0.279939 + 1.22649i
\(576\) −1.06742e10 4.67666e10i −0.0969715 0.424860i
\(577\) 1.67529e10 3.47878e10i 0.151143 0.313851i −0.811626 0.584177i \(-0.801417\pi\)
0.962769 + 0.270326i \(0.0871315\pi\)
\(578\) −1.26641e10 1.00993e10i −0.113466 0.0904857i
\(579\) −2.98497e10 + 2.38043e10i −0.265599 + 0.211808i
\(580\) −3.32855e10 1.60294e10i −0.294132 0.141647i
\(581\) −4.33652e9 + 9.00488e9i −0.0380572 + 0.0790266i
\(582\) −3.51361e9 4.40592e9i −0.0306240 0.0384012i
\(583\) 8.71995e10 1.09345e11i 0.754814 0.946506i
\(584\) 5.03361e10 + 2.42406e10i 0.432741 + 0.208397i
\(585\) 2.05309e10 4.68605e9i 0.175301 0.0400114i
\(586\) 2.21891e10 5.06452e9i 0.188169 0.0429485i
\(587\) 4.66608e9 + 3.72107e9i 0.0393006 + 0.0313412i 0.642943 0.765914i \(-0.277713\pi\)
−0.603643 + 0.797255i \(0.706285\pi\)
\(588\) 3.50325e10 + 7.27458e10i 0.293064 + 0.608554i
\(589\) 2.87642e11 + 6.56524e10i 2.38996 + 0.545493i
\(590\) −8.80842e9 + 4.24191e9i −0.0726926 + 0.0350069i
\(591\) −7.52510e8 + 6.00107e8i −0.00616825 + 0.00491902i
\(592\) −1.65490e11 + 3.77721e10i −1.34737 + 0.307528i
\(593\) −1.05845e11 + 8.44086e10i −0.855957 + 0.682603i −0.949757 0.312988i \(-0.898670\pi\)
0.0938003 + 0.995591i \(0.470098\pi\)
\(594\) 4.22098e9 1.84933e10i 0.0339053 0.148549i
\(595\) −1.42922e9 −0.0114033
\(596\) 9.96758e10i 0.789959i
\(597\) 2.04246e10 8.94858e10i 0.160789 0.704461i
\(598\) −2.11126e10 1.68367e10i −0.165096 0.131660i
\(599\) −1.43220e11 6.89711e10i −1.11249 0.535747i −0.214926 0.976630i \(-0.568951\pi\)
−0.897565 + 0.440883i \(0.854665\pi\)
\(600\) −2.14511e10 + 1.03303e10i −0.165518 + 0.0797092i
\(601\) 6.95807e10i 0.533324i 0.963790 + 0.266662i \(0.0859207\pi\)
−0.963790 + 0.266662i \(0.914079\pi\)
\(602\) −6.61984e8 + 2.21841e9i −0.00504036 + 0.0168910i
\(603\) 3.70770e10 0.280437
\(604\) −2.28800e10 4.75109e10i −0.171913 0.356981i
\(605\) −3.24088e9 + 6.72976e9i −0.0241903 + 0.0502317i
\(606\) 7.14916e9 8.96477e9i 0.0530109 0.0664735i
\(607\) 1.21786e11 + 2.77968e10i 0.897102 + 0.204758i 0.646122 0.763234i \(-0.276390\pi\)
0.250981 + 0.967992i \(0.419247\pi\)
\(608\) 8.46281e10 0.619299
\(609\) 9.47066e9i 0.0688511i
\(610\) −1.11052e9 2.53470e8i −0.00802063 0.00183066i
\(611\) 8.47524e10 + 1.06276e11i 0.608117 + 0.762555i
\(612\) 4.04569e9 + 1.77253e10i 0.0288395 + 0.126354i
\(613\) 3.21114e10 + 4.02664e10i 0.227414 + 0.285168i 0.882427 0.470449i \(-0.155908\pi\)
−0.655013 + 0.755618i \(0.727337\pi\)
\(614\) 1.00313e9 + 2.08303e9i 0.00705807 + 0.0146562i
\(615\) −9.74048e9 + 4.26758e10i −0.0680895 + 0.298319i
\(616\) 4.17859e9 2.01230e9i 0.0290206 0.0139756i
\(617\) 1.61966e11 2.03099e11i 1.11759 1.40141i 0.211994 0.977271i \(-0.432004\pi\)
0.905596 0.424142i \(-0.139424\pi\)
\(618\) 1.22881e9 + 5.38375e9i 0.00842421 + 0.0369089i
\(619\) −2.49469e10 1.09300e11i −0.169924 0.744485i −0.986028 0.166580i \(-0.946728\pi\)
0.816104 0.577905i \(-0.196130\pi\)
\(620\) 4.31857e10 8.96761e10i 0.292263 0.606890i
\(621\) 1.81730e11 + 1.44925e11i 1.22197 + 0.974489i
\(622\) 2.24802e10 1.79274e10i 0.150189 0.119772i
\(623\) 2.12225e10 + 1.02202e10i 0.140879 + 0.0678436i
\(624\) −3.92615e10 + 8.15274e10i −0.258958 + 0.537731i
\(625\) 5.48005e10 + 6.87177e10i 0.359141 + 0.450348i
\(626\) 1.86754e10 2.34182e10i 0.121611 0.152495i
\(627\) −1.23659e11 5.95512e10i −0.800123 0.385319i
\(628\) −1.00691e11 + 2.29820e10i −0.647368 + 0.147758i
\(629\) 5.94024e10 1.35582e10i 0.379491 0.0866163i
\(630\) 4.25520e8 + 3.39341e8i 0.00270120 + 0.00215414i
\(631\) 2.81654e10 + 5.84862e10i 0.177664 + 0.368923i 0.970716 0.240231i \(-0.0772233\pi\)
−0.793052 + 0.609154i \(0.791509\pi\)
\(632\) −7.73364e10 1.76515e10i −0.484747 0.110640i
\(633\) 1.61472e11 7.77606e10i 1.00573 0.484334i
\(634\) −1.40800e10 + 1.12285e10i −0.0871459 + 0.0694965i
\(635\) −8.08481e10 + 1.84531e10i −0.497250 + 0.113494i
\(636\) −1.14564e11 + 9.13620e10i −0.700198 + 0.558390i
\(637\) −3.31801e10 + 1.45372e11i −0.201521 + 0.882921i
\(638\) −2.07104e10 −0.124999
\(639\) 1.31415e10i 0.0788206i
\(640\) 8.43340e9 3.69491e10i 0.0502670 0.220234i
\(641\) 1.30420e11 + 1.04006e11i 0.772522 + 0.616066i 0.928345 0.371719i \(-0.121232\pi\)
−0.155823 + 0.987785i \(0.549803\pi\)
\(642\) −2.84757e9 1.37132e9i −0.0167623 0.00807232i
\(643\) 1.51560e11 7.29873e10i 0.886625 0.426976i 0.0655850 0.997847i \(-0.479109\pi\)
0.821040 + 0.570871i \(0.193394\pi\)
\(644\) 2.80669e10i 0.163174i
\(645\) −7.40092e9 4.62110e10i −0.0427609 0.266997i
\(646\) −9.70673e9 −0.0557369
\(647\) −5.87269e9 1.21948e10i −0.0335135 0.0695915i 0.883540 0.468356i \(-0.155153\pi\)
−0.917053 + 0.398764i \(0.869439\pi\)
\(648\) −5.49381e9 + 1.14080e10i −0.0311583 + 0.0647009i
\(649\) 1.37422e11 1.72322e11i 0.774600 0.971318i
\(650\) −2.11702e10 4.83196e9i −0.118597 0.0270689i
\(651\) −2.55154e10 −0.142062
\(652\) 4.97436e10i 0.275262i
\(653\) −1.16748e11 2.66470e10i −0.642093 0.146553i −0.110937 0.993827i \(-0.535385\pi\)
−0.531156 + 0.847274i \(0.678242\pi\)
\(654\) −1.08460e10 1.36005e10i −0.0592871 0.0743437i
\(655\) 1.79580e10 + 7.86790e10i 0.0975645 + 0.427458i
\(656\) 1.21228e11 + 1.52015e11i 0.654617 + 0.820863i
\(657\) −6.41311e10 1.33170e11i −0.344197 0.714732i
\(658\) −7.81743e8 + 3.42504e9i −0.00417023 + 0.0182710i
\(659\) −1.29665e11 + 6.24434e10i −0.687513 + 0.331089i −0.744818 0.667268i \(-0.767464\pi\)
0.0573045 + 0.998357i \(0.481749\pi\)
\(660\) −2.88691e10 + 3.62007e10i −0.152145 + 0.190784i
\(661\) 3.50309e10 + 1.53480e11i 0.183504 + 0.803984i 0.979945 + 0.199268i \(0.0638563\pi\)
−0.796441 + 0.604716i \(0.793287\pi\)
\(662\) 7.77377e9 + 3.40591e10i 0.0404762 + 0.177338i
\(663\) 1.40928e10 2.92641e10i 0.0729363 0.151454i
\(664\) 3.62524e10 + 2.89103e10i 0.186494 + 0.148724i
\(665\) 9.13621e9 7.28589e9i 0.0467175 0.0372560i
\(666\) −2.09049e10 1.00673e10i −0.106255 0.0511699i
\(667\) 1.10111e11 2.28649e11i 0.556326 1.15522i
\(668\) −1.35419e11 1.69811e11i −0.680104 0.852823i
\(669\) −4.89350e10 + 6.13625e10i −0.244295 + 0.306336i
\(670\) 6.01661e9 + 2.89745e9i 0.0298575 + 0.0143786i
\(671\) 2.50361e10 5.71432e9i 0.123503 0.0281887i
\(672\) −7.13525e9 + 1.62858e9i −0.0349891 + 0.00798603i
\(673\) −1.77997e11 1.41948e11i −0.867668 0.691942i 0.0848604 0.996393i \(-0.472956\pi\)
−0.952528 + 0.304451i \(0.901527\pi\)
\(674\) −1.54361e10 3.20533e10i −0.0747991 0.155322i
\(675\) 1.82226e11 + 4.15919e10i 0.877799 + 0.200352i
\(676\) 2.90835e10 1.40059e10i 0.139271 0.0670693i
\(677\) 2.72756e10 2.17516e10i 0.129844 0.103547i −0.556415 0.830905i \(-0.687823\pi\)
0.686258 + 0.727358i \(0.259252\pi\)
\(678\) 2.34842e10 5.36011e9i 0.111136 0.0253662i
\(679\) −8.45691e9 + 6.74416e9i −0.0397862 + 0.0317285i
\(680\) −1.47546e9 + 6.46440e9i −0.00690067 + 0.0302338i
\(681\) −1.53893e11 −0.715533
\(682\) 5.57969e10i 0.257912i
\(683\) 4.76061e9 2.08576e10i 0.0218766 0.0958477i −0.962811 0.270176i \(-0.912918\pi\)
0.984688 + 0.174328i \(0.0557753\pi\)
\(684\) −1.16222e11 9.26839e10i −0.530962 0.423428i
\(685\) −4.84504e10 2.33325e10i −0.220057 0.105974i
\(686\) −6.98916e9 + 3.36580e9i −0.0315594 + 0.0151982i
\(687\) 1.60194e11i 0.719150i
\(688\) −1.80977e11 1.02277e11i −0.807736 0.456483i
\(689\) −2.70611e11 −1.20079
\(690\) 6.12143e9 + 1.27113e10i 0.0270058 + 0.0560781i
\(691\) 1.11751e11 2.32054e11i 0.490162 1.01783i −0.498390 0.866953i \(-0.666075\pi\)
0.988552 0.150879i \(-0.0482104\pi\)
\(692\) −4.25114e10 + 5.33076e10i −0.185388 + 0.232469i
\(693\) −1.19624e10 2.73034e9i −0.0518662 0.0118381i
\(694\) −4.54569e10 −0.195958
\(695\) 2.07514e10i 0.0889421i
\(696\) 4.28359e10 + 9.77703e9i 0.182546 + 0.0416648i
\(697\) −4.35144e10 5.45654e10i −0.184375 0.231199i
\(698\) 1.15710e10 + 5.06958e10i 0.0487471 + 0.213575i
\(699\) −1.13917e11 1.42847e11i −0.477175 0.598359i
\(700\) 9.79247e9 + 2.03343e10i 0.0407849 + 0.0846908i
\(701\) 8.19259e10 3.58941e11i 0.339273 1.48645i −0.461315 0.887236i \(-0.652622\pi\)
0.800588 0.599215i \(-0.204521\pi\)
\(702\) −3.30684e10 + 1.59249e10i −0.136165 + 0.0655735i
\(703\) −3.10609e11 + 3.89491e11i −1.27172 + 1.59469i
\(704\) 4.33422e10 + 1.89894e11i 0.176449 + 0.773075i
\(705\) −1.58032e10 6.92382e10i −0.0639717 0.280278i
\(706\) 4.97467e9 1.03300e10i 0.0200238 0.0415798i
\(707\) −1.72073e10 1.37224e10i −0.0688710 0.0549228i
\(708\) −1.80548e11 + 1.43982e11i −0.718553 + 0.573027i
\(709\) −2.35694e11 1.13504e11i −0.932745 0.449186i −0.0951404 0.995464i \(-0.530330\pi\)
−0.837604 + 0.546278i \(0.816044\pi\)
\(710\) 1.02696e9 2.13251e9i 0.00404130 0.00839185i
\(711\) 1.30848e11 + 1.64078e11i 0.512021 + 0.642054i
\(712\) 6.81354e10 8.54391e10i 0.265126 0.332458i
\(713\) 6.16014e11 + 2.96657e11i 2.38360 + 1.14788i
\(714\) 8.18404e8 1.86795e8i 0.00314901 0.000718742i
\(715\) −8.33653e10 + 1.90276e10i −0.318978 + 0.0728047i
\(716\) 2.27546e11 + 1.81462e11i 0.865799 + 0.690452i
\(717\) −1.46202e11 3.03591e11i −0.553192 1.14871i
\(718\) −3.44907e10 7.87227e9i −0.129779 0.0296212i
\(719\) −3.50258e11 + 1.68675e11i −1.31061 + 0.631155i −0.953072 0.302745i \(-0.902097\pi\)
−0.357535 + 0.933900i \(0.616383\pi\)
\(720\) −3.82088e10 + 3.04705e10i −0.142178 + 0.113384i
\(721\) 1.03338e10 2.35862e9i 0.0382401 0.00872805i
\(722\) 2.89570e10 2.30924e10i 0.106563 0.0849808i
\(723\) 2.78202e10 1.21888e11i 0.101814 0.446076i
\(724\) −2.76797e11 −1.00741
\(725\) 2.04072e11i 0.738637i
\(726\) 9.76238e8 4.27718e9i 0.00351406 0.0153961i
\(727\) −3.25638e11 2.59688e11i −1.16573 0.929638i −0.167313 0.985904i \(-0.553509\pi\)
−0.998416 + 0.0562659i \(0.982081\pi\)
\(728\) −8.08519e9 3.89362e9i −0.0287849 0.0138621i
\(729\) 2.18899e11 1.05416e11i 0.775056 0.373248i
\(730\) 2.66215e10i 0.0937436i
\(731\) 6.49612e10 + 3.67121e10i 0.227502 + 0.128570i
\(732\) −2.69058e10 −0.0937133
\(733\) 1.44192e11 + 2.99418e11i 0.499488 + 1.03720i 0.986494 + 0.163799i \(0.0523748\pi\)
−0.487006 + 0.873399i \(0.661911\pi\)
\(734\) 5.67901e9 1.17926e10i 0.0195654 0.0406280i
\(735\) 4.85721e10 6.09075e10i 0.166432 0.208700i
\(736\) 1.91200e11 + 4.36402e10i 0.651594 + 0.148722i
\(737\) −1.50550e11 −0.510283
\(738\) 2.65773e10i 0.0895952i
\(739\) 1.36828e11 + 3.12302e10i 0.458774 + 0.104712i 0.445661 0.895202i \(-0.352969\pi\)
0.0131131 + 0.999914i \(0.495826\pi\)
\(740\) 1.04785e11 + 1.31397e11i 0.349441 + 0.438185i
\(741\) 5.90947e10 + 2.58911e11i 0.196009 + 0.858771i
\(742\) −4.36059e9 5.46800e9i −0.0143856 0.0180390i
\(743\) 3.50127e10 + 7.27046e10i 0.114887 + 0.238565i 0.950481 0.310782i \(-0.100591\pi\)
−0.835594 + 0.549347i \(0.814877\pi\)
\(744\) −2.63408e10 + 1.15407e11i −0.0859680 + 0.376651i
\(745\) 8.66481e10 4.17275e10i 0.281277 0.135456i
\(746\) 2.85563e10 3.58085e10i 0.0922034 0.115619i
\(747\) −2.72973e10 1.19597e11i −0.0876673 0.384096i
\(748\) −1.64274e10 7.19732e10i −0.0524763 0.229913i
\(749\) −2.63217e9 + 5.46575e9i −0.00836346 + 0.0173669i
\(750\) 1.92890e10 + 1.53825e10i 0.0609628 + 0.0486162i
\(751\) −2.45361e11 + 1.95669e11i −0.771340 + 0.615123i −0.928022 0.372526i \(-0.878492\pi\)
0.156682 + 0.987649i \(0.449920\pi\)
\(752\) −2.84215e11 1.36871e11i −0.888741 0.427995i
\(753\) −9.15067e10 + 1.90016e11i −0.284625 + 0.591030i
\(754\) 2.49849e10 + 3.13301e10i 0.0773023 +