Properties

Label 43.9.f.a.22.8
Level 43
Weight 9
Character 43.22
Analytic conductor 17.517
Analytic rank 0
Dimension 174
CM no
Inner twists 2

Related objects

Downloads

Learn more about

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 22.8
Character \(\chi\) \(=\) 43.22
Dual form 43.9.f.a.2.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-6.10369 + 12.6745i) q^{2} +(64.4015 + 133.731i) q^{3} +(36.2267 + 45.4269i) q^{4} +(363.007 - 82.8539i) q^{5} -2088.06 q^{6} -1931.33i q^{7} +(-4307.89 + 983.247i) q^{8} +(-9645.74 + 12095.4i) q^{9} +O(q^{10})\) \(q+(-6.10369 + 12.6745i) q^{2} +(64.4015 + 133.731i) q^{3} +(36.2267 + 45.4269i) q^{4} +(363.007 - 82.8539i) q^{5} -2088.06 q^{6} -1931.33i q^{7} +(-4307.89 + 983.247i) q^{8} +(-9645.74 + 12095.4i) q^{9} +(-1165.55 + 5106.63i) q^{10} +(-6279.53 + 7874.28i) q^{11} +(-3741.93 + 7770.20i) q^{12} +(-8789.14 - 38507.7i) q^{13} +(24478.6 + 11788.3i) q^{14} +(34458.3 + 43209.4i) q^{15} +(10522.0 - 46100.1i) q^{16} +(-31670.0 + 138755. i) q^{17} +(-94427.6 - 196081. i) q^{18} +(-55624.5 + 44359.1i) q^{19} +(16914.3 + 13488.7i) q^{20} +(258279. - 124381. i) q^{21} +(-61473.9 - 127652. i) q^{22} +(57783.9 - 72458.7i) q^{23} +(-408925. - 512776. i) q^{24} +(-227032. + 109333. i) q^{25} +(541711. + 123642. i) q^{26} +(-1.28929e6 - 294273. i) q^{27} +(87734.4 - 69965.8i) q^{28} +(20561.7 - 42696.9i) q^{29} +(-757978. + 173004. i) q^{30} +(1.41806e6 + 682901. i) q^{31} +(-364322. - 290537. i) q^{32} +(-1.45745e6 - 332653. i) q^{33} +(-1.56535e6 - 1.24832e6i) q^{34} +(-160018. - 701086. i) q^{35} -898889. q^{36} +269704. i q^{37} +(-222712. - 975765. i) q^{38} +(4.58365e6 - 3.65534e6i) q^{39} +(-1.48233e6 + 713851. i) q^{40} +(1.04465e6 + 503076. i) q^{41} +4.03273e6i q^{42} +(3.37626e6 - 537681. i) q^{43} -585191. q^{44} +(-2.49932e6 + 5.18989e6i) q^{45} +(565679. + 1.17464e6i) q^{46} +(6.04210e6 + 7.57655e6i) q^{47} +(6.84265e6 - 1.56179e6i) q^{48} +2.03476e6 q^{49} -3.54484e6i q^{50} +(-2.05955e7 + 4.70079e6i) q^{51} +(1.43088e6 - 1.79427e6i) q^{52} +(-195912. + 858347. i) q^{53} +(1.15992e7 - 1.45449e7i) q^{54} +(-1.62710e6 + 3.37870e6i) q^{55} +(1.89898e6 + 8.31996e6i) q^{56} +(-9.51449e6 - 4.58194e6i) q^{57} +(415657. + 521217. i) q^{58} +(-790230. + 3.46222e6i) q^{59} +(-714555. + 3.13067e6i) q^{60} +(457784. + 950598. i) q^{61} +(-1.73108e7 + 1.38049e7i) q^{62} +(2.33602e7 + 1.86291e7i) q^{63} +(1.68124e7 - 8.09645e6i) q^{64} +(-6.38103e6 - 1.32504e7i) q^{65} +(1.31120e7 - 1.64419e7i) q^{66} +(1.63960e7 + 2.05599e7i) q^{67} +(-7.45053e6 + 3.58798e6i) q^{68} +(1.34113e7 + 3.06105e6i) q^{69} +(9.86259e6 + 2.25107e6i) q^{70} +(1.80624e7 - 1.44043e7i) q^{71} +(2.96600e7 - 6.15897e7i) q^{72} +(-3.86765e7 + 8.82765e6i) q^{73} +(-3.41835e6 - 1.64619e6i) q^{74} +(-2.92424e7 - 2.33200e7i) q^{75} +(-4.03019e6 - 919864. i) q^{76} +(1.52079e7 + 1.21279e7i) q^{77} +(1.83522e7 + 8.04063e7i) q^{78} -5.81333e7 q^{79} -1.76064e7i q^{80} +(-2.10926e7 - 9.24128e7i) q^{81} +(-1.27524e7 + 1.01697e7i) q^{82} +(-1.06940e7 + 5.14994e6i) q^{83} +(1.50068e7 + 7.22691e6i) q^{84} +5.29931e7i q^{85} +(-1.37928e7 + 4.60740e7i) q^{86} +7.03411e6 q^{87} +(1.93091e7 - 4.00958e7i) q^{88} +(-1.03975e7 - 2.15906e7i) q^{89} +(-5.05239e7 - 6.33550e7i) q^{90} +(-7.43712e7 + 1.69747e7i) q^{91} +5.38489e6 q^{92} +2.33618e8i q^{93} +(-1.32908e8 + 3.03353e7i) q^{94} +(-1.65168e7 + 2.07114e7i) q^{95} +(1.53910e7 - 6.74323e7i) q^{96} +(2.14404e7 - 2.68854e7i) q^{97} +(-1.24195e7 + 2.57895e7i) q^{98} +(-3.46717e7 - 1.51907e8i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.10369 + 12.6745i −0.381481 + 0.792153i 0.618499 + 0.785786i \(0.287741\pi\)
−0.999980 + 0.00636757i \(0.997973\pi\)
\(3\) 64.4015 + 133.731i 0.795080 + 1.65100i 0.758502 + 0.651671i \(0.225932\pi\)
0.0365784 + 0.999331i \(0.488354\pi\)
\(4\) 36.2267 + 45.4269i 0.141511 + 0.177449i
\(5\) 363.007 82.8539i 0.580811 0.132566i 0.0779857 0.996954i \(-0.475151\pi\)
0.502825 + 0.864388i \(0.332294\pi\)
\(6\) −2088.06 −1.61115
\(7\) 1931.33i 0.804386i −0.915555 0.402193i \(-0.868248\pi\)
0.915555 0.402193i \(-0.131752\pi\)
\(8\) −4307.89 + 983.247i −1.05173 + 0.240051i
\(9\) −9645.74 + 12095.4i −1.47016 + 1.84353i
\(10\) −1165.55 + 5106.63i −0.116555 + 0.510663i
\(11\) −6279.53 + 7874.28i −0.428900 + 0.537824i −0.948580 0.316537i \(-0.897480\pi\)
0.519680 + 0.854361i \(0.326051\pi\)
\(12\) −3741.93 + 7770.20i −0.180456 + 0.374720i
\(13\) −8789.14 38507.7i −0.307732 1.34826i −0.858161 0.513381i \(-0.828393\pi\)
0.550429 0.834882i \(-0.314464\pi\)
\(14\) 24478.6 + 11788.3i 0.637197 + 0.306858i
\(15\) 34458.3 + 43209.4i 0.680658 + 0.853519i
\(16\) 10522.0 46100.1i 0.160554 0.703431i
\(17\) −31670.0 + 138755.i −0.379186 + 1.66132i 0.320784 + 0.947152i \(0.396054\pi\)
−0.699971 + 0.714172i \(0.746804\pi\)
\(18\) −94427.6 196081.i −0.899516 1.86786i
\(19\) −55624.5 + 44359.1i −0.426827 + 0.340383i −0.813225 0.581949i \(-0.802290\pi\)
0.386398 + 0.922332i \(0.373719\pi\)
\(20\) 16914.3 + 13488.7i 0.105715 + 0.0843046i
\(21\) 258279. 124381.i 1.32804 0.639552i
\(22\) −61473.9 127652.i −0.262422 0.544924i
\(23\) 57783.9 72458.7i 0.206488 0.258928i −0.667794 0.744346i \(-0.732761\pi\)
0.874282 + 0.485418i \(0.161333\pi\)
\(24\) −408925. 512776.i −1.23253 1.54555i
\(25\) −227032. + 109333.i −0.581202 + 0.279892i
\(26\) 541711. + 123642.i 1.18542 + 0.270566i
\(27\) −1.28929e6 294273.i −2.42603 0.553726i
\(28\) 87734.4 69965.8i 0.142737 0.113829i
\(29\) 20561.7 42696.9i 0.0290715 0.0603676i −0.885927 0.463824i \(-0.846477\pi\)
0.914999 + 0.403456i \(0.132191\pi\)
\(30\) −757978. + 173004.i −0.935776 + 0.213585i
\(31\) 1.41806e6 + 682901.i 1.53549 + 0.739453i 0.994808 0.101773i \(-0.0324515\pi\)
0.540683 + 0.841226i \(0.318166\pi\)
\(32\) −364322. 290537.i −0.347445 0.277078i
\(33\) −1.45745e6 332653.i −1.22896 0.280502i
\(34\) −1.56535e6 1.24832e6i −1.17137 0.934137i
\(35\) −160018. 701086.i −0.106635 0.467196i
\(36\) −898889. −0.535175
\(37\) 269704.i 0.143906i 0.997408 + 0.0719532i \(0.0229232\pi\)
−0.997408 + 0.0719532i \(0.977077\pi\)
\(38\) −222712. 975765.i −0.106809 0.467962i
\(39\) 4.58365e6 3.65534e6i 1.98131 1.58004i
\(40\) −1.48233e6 + 713851.i −0.579034 + 0.278848i
\(41\) 1.04465e6 + 503076.i 0.369688 + 0.178032i 0.609498 0.792788i \(-0.291371\pi\)
−0.239810 + 0.970820i \(0.577085\pi\)
\(42\) 4.03273e6i 1.29599i
\(43\) 3.37626e6 537681.i 0.987555 0.157272i
\(44\) −585191. −0.156130
\(45\) −2.49932e6 + 5.18989e6i −0.609497 + 1.26563i
\(46\) 565679. + 1.17464e6i 0.126339 + 0.262346i
\(47\) 6.04210e6 + 7.57655e6i 1.23822 + 1.55267i 0.711636 + 0.702548i \(0.247955\pi\)
0.526580 + 0.850125i \(0.323474\pi\)
\(48\) 6.84265e6 1.56179e6i 1.28902 0.294210i
\(49\) 2.03476e6 0.352963
\(50\) 3.54484e6i 0.567174i
\(51\) −2.05955e7 + 4.70079e6i −3.04433 + 0.694849i
\(52\) 1.43088e6 1.79427e6i 0.195700 0.245400i
\(53\) −195912. + 858347.i −0.0248289 + 0.108783i −0.985824 0.167783i \(-0.946339\pi\)
0.960995 + 0.276566i \(0.0891963\pi\)
\(54\) 1.15992e7 1.45449e7i 1.36412 1.71055i
\(55\) −1.62710e6 + 3.37870e6i −0.177813 + 0.369232i
\(56\) 1.89898e6 + 8.31996e6i 0.193093 + 0.845997i
\(57\) −9.51449e6 4.58194e6i −0.901335 0.434060i
\(58\) 415657. + 521217.i 0.0367302 + 0.0460582i
\(59\) −790230. + 3.46222e6i −0.0652147 + 0.285724i −0.997011 0.0772567i \(-0.975384\pi\)
0.931797 + 0.362981i \(0.118241\pi\)
\(60\) −714555. + 3.13067e6i −0.0551354 + 0.241564i
\(61\) 457784. + 950598.i 0.0330629 + 0.0686559i 0.916846 0.399241i \(-0.130726\pi\)
−0.883783 + 0.467897i \(0.845012\pi\)
\(62\) −1.73108e7 + 1.38049e7i −1.17152 + 0.934257i
\(63\) 2.33602e7 + 1.86291e7i 1.48291 + 1.18258i
\(64\) 1.68124e7 8.09645e6i 1.00210 0.482586i
\(65\) −6.38103e6 1.32504e7i −0.357468 0.742291i
\(66\) 1.31120e7 1.64419e7i 0.691025 0.866518i
\(67\) 1.63960e7 + 2.05599e7i 0.813651 + 1.02029i 0.999290 + 0.0376677i \(0.0119928\pi\)
−0.185640 + 0.982618i \(0.559436\pi\)
\(68\) −7.45053e6 + 3.58798e6i −0.348459 + 0.167809i
\(69\) 1.34113e7 + 3.06105e6i 0.591665 + 0.135044i
\(70\) 9.86259e6 + 2.25107e6i 0.410770 + 0.0937556i
\(71\) 1.80624e7 1.44043e7i 0.710792 0.566837i −0.199954 0.979805i \(-0.564079\pi\)
0.910746 + 0.412968i \(0.135508\pi\)
\(72\) 2.96600e7 6.15897e7i 1.10368 2.29181i
\(73\) −3.86765e7 + 8.82765e6i −1.36193 + 0.310852i −0.840209 0.542263i \(-0.817568\pi\)
−0.521723 + 0.853115i \(0.674711\pi\)
\(74\) −3.41835e6 1.64619e6i −0.113996 0.0548976i
\(75\) −2.92424e7 2.33200e7i −0.924204 0.737028i
\(76\) −4.03019e6 919864.i −0.120801 0.0275721i
\(77\) 1.52079e7 + 1.21279e7i 0.432618 + 0.345002i
\(78\) 1.83522e7 + 8.04063e7i 0.495804 + 2.17226i
\(79\) −5.81333e7 −1.49251 −0.746254 0.665661i \(-0.768150\pi\)
−0.746254 + 0.665661i \(0.768150\pi\)
\(80\) 1.76064e7i 0.429844i
\(81\) −2.10926e7 9.24128e7i −0.489993 2.14680i
\(82\) −1.27524e7 + 1.01697e7i −0.282058 + 0.224933i
\(83\) −1.06940e7 + 5.14994e6i −0.225334 + 0.108515i −0.543145 0.839639i \(-0.682767\pi\)
0.317811 + 0.948154i \(0.397052\pi\)
\(84\) 1.50068e7 + 7.22691e6i 0.301420 + 0.145156i
\(85\) 5.29931e7i 1.01518i
\(86\) −1.37928e7 + 4.60740e7i −0.252150 + 0.842291i
\(87\) 7.03411e6 0.122781
\(88\) 1.93091e7 4.00958e7i 0.321982 0.668603i
\(89\) −1.03975e7 2.15906e7i −0.165718 0.344116i 0.801529 0.597956i \(-0.204020\pi\)
−0.967246 + 0.253840i \(0.918306\pi\)
\(90\) −5.05239e7 6.33550e7i −0.770065 0.965631i
\(91\) −7.43712e7 + 1.69747e7i −1.08452 + 0.247536i
\(92\) 5.38489e6 0.0751667
\(93\) 2.33618e8i 3.12302i
\(94\) −1.32908e8 + 3.03353e7i −1.70231 + 0.388542i
\(95\) −1.65168e7 + 2.07114e7i −0.202782 + 0.254281i
\(96\) 1.53910e7 6.74323e7i 0.181210 0.793931i
\(97\) 2.14404e7 2.68854e7i 0.242184 0.303689i −0.645852 0.763462i \(-0.723498\pi\)
0.888036 + 0.459773i \(0.152069\pi\)
\(98\) −1.24195e7 + 2.57895e7i −0.134648 + 0.279600i
\(99\) −3.46717e7 1.51907e8i −0.360939 1.58138i
\(100\) −1.31913e7 6.35258e6i −0.131913 0.0635258i
\(101\) 2.80494e7 + 3.51728e7i 0.269549 + 0.338004i 0.898122 0.439747i \(-0.144932\pi\)
−0.628572 + 0.777751i \(0.716360\pi\)
\(102\) 6.61288e7 2.89729e8i 0.610928 2.67665i
\(103\) 2.67672e7 1.17275e8i 0.237823 1.04197i −0.705139 0.709069i \(-0.749115\pi\)
0.942962 0.332901i \(-0.108027\pi\)
\(104\) 7.57252e7 + 1.57245e8i 0.647302 + 1.34414i
\(105\) 8.34516e7 6.65505e7i 0.686559 0.547512i
\(106\) −9.68329e6 7.72216e6i −0.0767007 0.0611668i
\(107\) −5.06788e7 + 2.44056e7i −0.386626 + 0.186189i −0.617092 0.786891i \(-0.711689\pi\)
0.230466 + 0.973080i \(0.425975\pi\)
\(108\) −3.33390e7 6.92291e7i −0.245051 0.508855i
\(109\) −2.44422e7 + 3.06496e7i −0.173155 + 0.217130i −0.860835 0.508885i \(-0.830058\pi\)
0.687680 + 0.726014i \(0.258629\pi\)
\(110\) −3.28919e7 4.12451e7i −0.224656 0.281710i
\(111\) −3.60678e7 + 1.73693e7i −0.237590 + 0.114417i
\(112\) −8.90345e7 2.03215e7i −0.565831 0.129147i
\(113\) 2.60306e8 + 5.94132e7i 1.59651 + 0.364392i 0.926004 0.377515i \(-0.123221\pi\)
0.670503 + 0.741907i \(0.266078\pi\)
\(114\) 1.16147e8 9.26242e7i 0.687684 0.548410i
\(115\) 1.49724e7 3.10906e7i 0.0856055 0.177762i
\(116\) 2.68447e6 612713.i 0.0148261 0.00338396i
\(117\) 5.50543e8 + 2.65128e8i 2.93798 + 1.41485i
\(118\) −3.90585e7 3.11481e7i −0.201459 0.160658i
\(119\) 2.67983e8 + 6.11653e7i 1.33635 + 0.305012i
\(120\) −1.90928e8 1.52260e8i −0.920756 0.734279i
\(121\) 2.51275e7 + 1.10091e8i 0.117222 + 0.513582i
\(122\) −1.48425e7 −0.0669989
\(123\) 1.72101e8i 0.751905i
\(124\) 2.03495e7 + 8.91572e7i 0.0860732 + 0.377111i
\(125\) −1.87070e8 + 1.49183e8i −0.766238 + 0.611054i
\(126\) −3.78697e8 + 1.82371e8i −1.50249 + 0.723559i
\(127\) −3.51170e8 1.69115e8i −1.34990 0.650079i −0.387542 0.921852i \(-0.626676\pi\)
−0.962361 + 0.271773i \(0.912390\pi\)
\(128\) 1.43215e8i 0.533516i
\(129\) 2.89341e8 + 4.16883e8i 1.04484 + 1.50541i
\(130\) 2.06889e8 0.724375
\(131\) 6.79141e7 1.41025e8i 0.230608 0.478863i −0.753268 0.657714i \(-0.771524\pi\)
0.983876 + 0.178851i \(0.0572379\pi\)
\(132\) −3.76872e7 7.82582e7i −0.124136 0.257771i
\(133\) 8.56721e7 + 1.07429e8i 0.273800 + 0.343334i
\(134\) −3.60661e8 + 8.23186e7i −1.11861 + 0.255317i
\(135\) −4.92404e8 −1.48247
\(136\) 6.28882e8i 1.83829i
\(137\) 3.37979e8 7.71416e7i 0.959418 0.218981i 0.285989 0.958233i \(-0.407678\pi\)
0.673429 + 0.739252i \(0.264821\pi\)
\(138\) −1.20656e8 + 1.51298e8i −0.332684 + 0.417173i
\(139\) 1.40259e8 6.14514e8i 0.375726 1.64616i −0.334652 0.942342i \(-0.608619\pi\)
0.710378 0.703820i \(-0.248524\pi\)
\(140\) 2.60512e7 3.26672e7i 0.0678135 0.0850354i
\(141\) −6.24101e8 + 1.29596e9i −1.57899 + 3.27880i
\(142\) 7.23191e7 + 3.16851e8i 0.177869 + 0.779294i
\(143\) 3.58412e8 + 1.72602e8i 0.857115 + 0.412765i
\(144\) 4.56105e8 + 5.71937e8i 1.06075 + 1.33014i
\(145\) 3.92644e6 1.72029e7i 0.00888234 0.0389161i
\(146\) 1.24184e8 5.44084e8i 0.273309 1.19744i
\(147\) 1.31042e8 + 2.72111e8i 0.280634 + 0.582742i
\(148\) −1.22518e7 + 9.77049e6i −0.0255360 + 0.0203643i
\(149\) 8.97844e7 + 7.16007e7i 0.182161 + 0.145269i 0.710325 0.703874i \(-0.248548\pi\)
−0.528164 + 0.849142i \(0.677119\pi\)
\(150\) 4.74055e8 2.28293e8i 0.936405 0.450949i
\(151\) 1.76568e8 + 3.66647e8i 0.339629 + 0.705246i 0.998911 0.0466490i \(-0.0148542\pi\)
−0.659283 + 0.751895i \(0.729140\pi\)
\(152\) 1.96008e8 2.45786e8i 0.367198 0.460451i
\(153\) −1.37282e9 1.72146e9i −2.50523 3.14146i
\(154\) −2.46538e8 + 1.18726e8i −0.438330 + 0.211089i
\(155\) 5.71346e8 + 1.30406e8i 0.989856 + 0.225928i
\(156\) 3.32101e8 + 7.57999e7i 0.560754 + 0.127988i
\(157\) 6.15284e8 4.90673e8i 1.01269 0.807594i 0.0312799 0.999511i \(-0.490042\pi\)
0.981411 + 0.191916i \(0.0614702\pi\)
\(158\) 3.54828e8 7.36808e8i 0.569363 1.18229i
\(159\) −1.27405e8 + 2.90793e7i −0.199341 + 0.0454983i
\(160\) −1.56324e8 7.52815e7i −0.238531 0.114870i
\(161\) −1.39942e8 1.11600e8i −0.208278 0.166096i
\(162\) 1.30002e9 + 2.96722e8i 1.88752 + 0.430814i
\(163\) −8.38646e8 6.68798e8i −1.18803 0.947424i −0.188632 0.982048i \(-0.560405\pi\)
−0.999400 + 0.0346235i \(0.988977\pi\)
\(164\) 1.49910e7 + 6.56799e7i 0.0207231 + 0.0907940i
\(165\) −5.56625e8 −0.750977
\(166\) 1.66974e8i 0.219895i
\(167\) −2.21832e8 9.71909e8i −0.285206 1.24957i −0.891021 0.453962i \(-0.850010\pi\)
0.605815 0.795605i \(-0.292847\pi\)
\(168\) −9.90340e8 + 7.89770e8i −1.24322 + 0.991433i
\(169\) −6.70649e8 + 3.22968e8i −0.822145 + 0.395924i
\(170\) −6.71659e8 3.23454e8i −0.804180 0.387273i
\(171\) 1.10068e9i 1.28729i
\(172\) 1.46736e8 + 1.33894e8i 0.167657 + 0.152985i
\(173\) −9.28011e8 −1.03602 −0.518011 0.855374i \(-0.673327\pi\)
−0.518011 + 0.855374i \(0.673327\pi\)
\(174\) −4.29340e7 + 8.91535e7i −0.0468387 + 0.0972615i
\(175\) 2.11158e8 + 4.38474e8i 0.225141 + 0.467511i
\(176\) 2.96931e8 + 3.72340e8i 0.309461 + 0.388051i
\(177\) −5.13899e8 + 1.17294e8i −0.523582 + 0.119504i
\(178\) 3.37112e8 0.335811
\(179\) 1.53114e9i 1.49143i 0.666263 + 0.745716i \(0.267893\pi\)
−0.666263 + 0.745716i \(0.732107\pi\)
\(180\) −3.26303e8 + 7.44764e7i −0.310835 + 0.0709462i
\(181\) −2.34481e8 + 2.94030e8i −0.218471 + 0.273954i −0.878974 0.476869i \(-0.841772\pi\)
0.660503 + 0.750823i \(0.270343\pi\)
\(182\) 2.38794e8 1.04622e9i 0.217639 0.953540i
\(183\) −9.76426e7 + 1.22440e8i −0.0870633 + 0.109174i
\(184\) −1.77682e8 + 3.68960e8i −0.155014 + 0.321890i
\(185\) 2.23460e7 + 9.79043e7i 0.0190771 + 0.0835824i
\(186\) −2.96098e9 1.42594e9i −2.47391 1.19137i
\(187\) −8.93726e8 1.12070e9i −0.730867 0.916478i
\(188\) −1.25294e8 + 5.48947e8i −0.100299 + 0.439440i
\(189\) −5.68338e8 + 2.49005e9i −0.445410 + 1.95147i
\(190\) −1.61692e8 3.35757e8i −0.124072 0.257638i
\(191\) 1.78737e9 1.42538e9i 1.34302 1.07102i 0.352183 0.935931i \(-0.385439\pi\)
0.990833 0.135089i \(-0.0431320\pi\)
\(192\) 2.16549e9 + 1.72692e9i 1.59350 + 1.27077i
\(193\) 1.18193e9 5.69189e8i 0.851851 0.410230i 0.0435864 0.999050i \(-0.486122\pi\)
0.808264 + 0.588820i \(0.200407\pi\)
\(194\) 2.09892e8 + 4.35845e8i 0.148180 + 0.307698i
\(195\) 1.36104e9 1.70669e9i 0.941307 1.18036i
\(196\) 7.37126e7 + 9.24327e7i 0.0499479 + 0.0626327i
\(197\) 8.38065e8 4.03591e8i 0.556433 0.267964i −0.134463 0.990919i \(-0.542931\pi\)
0.690895 + 0.722955i \(0.257217\pi\)
\(198\) 2.13696e9 + 4.87747e8i 1.39039 + 0.317346i
\(199\) −9.83217e8 2.24413e8i −0.626956 0.143099i −0.102774 0.994705i \(-0.532772\pi\)
−0.524182 + 0.851606i \(0.675629\pi\)
\(200\) 8.70526e8 6.94222e8i 0.544079 0.433888i
\(201\) −1.69357e9 + 3.51674e9i −1.03758 + 2.15455i
\(202\) −6.17002e8 + 1.40827e8i −0.370579 + 0.0845822i
\(203\) −8.24618e7 3.97115e7i −0.0485589 0.0233847i
\(204\) −9.59650e8 7.65296e8i −0.554105 0.441884i
\(205\) 4.20896e8 + 9.60668e7i 0.238320 + 0.0543949i
\(206\) 1.32301e9 + 1.05507e9i 0.734675 + 0.585884i
\(207\) 3.19047e8 + 1.39784e9i 0.173769 + 0.761333i
\(208\) −1.86769e9 −0.997818
\(209\) 7.16557e8i 0.375548i
\(210\) 3.34127e8 + 1.46391e9i 0.171805 + 0.752725i
\(211\) −1.91039e9 + 1.52349e9i −0.963812 + 0.768614i −0.972872 0.231345i \(-0.925687\pi\)
0.00906004 + 0.999959i \(0.497116\pi\)
\(212\) −4.60893e7 + 2.21954e7i −0.0228169 + 0.0109880i
\(213\) 3.08955e9 + 1.48785e9i 1.50099 + 0.722837i
\(214\) 7.91291e8i 0.377295i
\(215\) 1.18105e9 4.74918e8i 0.552734 0.222262i
\(216\) 5.84347e9 2.68445
\(217\) 1.31891e9 2.73874e9i 0.594806 1.23513i
\(218\) −2.39279e8 4.96868e8i −0.105945 0.219996i
\(219\) −3.67136e9 4.60373e9i −1.59606 2.00140i
\(220\) −2.12428e8 + 4.84853e7i −0.0906821 + 0.0206976i
\(221\) 5.62151e9 2.35659
\(222\) 5.63157e8i 0.231856i
\(223\) −2.95489e9 + 6.74434e8i −1.19487 + 0.272722i −0.773280 0.634064i \(-0.781386\pi\)
−0.421591 + 0.906786i \(0.638528\pi\)
\(224\) −5.61124e8 + 7.03627e8i −0.222878 + 0.279480i
\(225\) 8.67469e8 3.80063e9i 0.338473 1.48295i
\(226\) −2.34186e9 + 2.93660e9i −0.897691 + 1.12567i
\(227\) −1.03687e9 + 2.15309e9i −0.390501 + 0.810883i 0.609338 + 0.792911i \(0.291435\pi\)
−0.999838 + 0.0179724i \(0.994279\pi\)
\(228\) −1.36536e8 5.98202e8i −0.0505251 0.221365i
\(229\) 2.34644e9 + 1.12998e9i 0.853231 + 0.410895i 0.808776 0.588117i \(-0.200130\pi\)
0.0444554 + 0.999011i \(0.485845\pi\)
\(230\) 3.02669e8 + 3.79535e8i 0.108158 + 0.135625i
\(231\) −6.42463e8 + 2.81482e9i −0.225632 + 0.988558i
\(232\) −4.65960e7 + 2.04151e8i −0.0160841 + 0.0704691i
\(233\) 1.74511e8 + 3.62376e8i 0.0592106 + 0.122952i 0.928474 0.371396i \(-0.121121\pi\)
−0.869264 + 0.494349i \(0.835407\pi\)
\(234\) −6.72070e9 + 5.35958e9i −2.24156 + 1.78759i
\(235\) 2.82107e9 + 2.24973e9i 0.925001 + 0.737664i
\(236\) −1.85905e8 + 8.95274e7i −0.0599300 + 0.0288608i
\(237\) −3.74387e9 7.77423e9i −1.18666 2.46413i
\(238\) −2.41092e9 + 3.02320e9i −0.751407 + 0.942235i
\(239\) −2.67757e8 3.35757e8i −0.0820633 0.102904i 0.739105 0.673590i \(-0.235249\pi\)
−0.821168 + 0.570686i \(0.806677\pi\)
\(240\) 2.35453e9 1.13388e9i 0.709674 0.341761i
\(241\) 3.22124e9 + 7.35226e8i 0.954893 + 0.217948i 0.671457 0.741043i \(-0.265669\pi\)
0.283435 + 0.958991i \(0.408526\pi\)
\(242\) −1.54871e9 3.53484e8i −0.451554 0.103064i
\(243\) 4.21643e9 3.36249e9i 1.20926 0.964353i
\(244\) −2.65987e7 + 5.52328e7i −0.00750414 + 0.0155825i
\(245\) 7.38631e8 1.68588e8i 0.205004 0.0467909i
\(246\) −2.18129e9 1.05045e9i −0.595624 0.286837i
\(247\) 2.19706e9 + 1.75210e9i 0.590274 + 0.470728i
\(248\) −6.78029e9 1.54756e9i −1.79243 0.409110i
\(249\) −1.37742e9 1.09845e9i −0.358317 0.285748i
\(250\) −7.48998e8 3.28158e9i −0.191744 0.840084i
\(251\) 2.03847e9 0.513582 0.256791 0.966467i \(-0.417335\pi\)
0.256791 + 0.966467i \(0.417335\pi\)
\(252\) 1.73605e9i 0.430488i
\(253\) 2.07705e8 + 9.10013e8i 0.0506949 + 0.222109i
\(254\) 4.28687e9 3.41867e9i 1.02993 0.821338i
\(255\) −7.08683e9 + 3.41284e9i −1.67607 + 0.807151i
\(256\) 2.48882e9 + 1.19855e9i 0.579474 + 0.279060i
\(257\) 4.59930e9i 1.05429i −0.849776 0.527144i \(-0.823263\pi\)
0.849776 0.527144i \(-0.176737\pi\)
\(258\) −7.04981e9 + 1.12271e9i −1.59110 + 0.253389i
\(259\) 5.20888e8 0.115756
\(260\) 3.70758e8 7.69887e8i 0.0811330 0.168474i
\(261\) 3.18102e8 + 6.60545e8i 0.0685494 + 0.142344i
\(262\) 1.37289e9 + 1.72155e9i 0.291360 + 0.365354i
\(263\) 6.80951e9 1.55423e9i 1.42329 0.324856i 0.559550 0.828796i \(-0.310974\pi\)
0.863739 + 0.503940i \(0.168117\pi\)
\(264\) 6.60560e9 1.35987
\(265\) 3.27818e8i 0.0664736i
\(266\) −1.88453e9 + 4.30131e8i −0.376422 + 0.0859159i
\(267\) 2.21772e9 2.78094e9i 0.436377 0.547200i
\(268\) −3.40000e8 + 1.48964e9i −0.0659082 + 0.288763i
\(269\) −8.24056e7 + 1.03333e8i −0.0157379 + 0.0197347i −0.789638 0.613573i \(-0.789732\pi\)
0.773900 + 0.633308i \(0.218303\pi\)
\(270\) 3.00548e9 6.24095e9i 0.565535 1.17434i
\(271\) 7.24244e8 + 3.17312e9i 0.134279 + 0.588314i 0.996632 + 0.0820065i \(0.0261328\pi\)
−0.862353 + 0.506308i \(0.831010\pi\)
\(272\) 6.06340e9 + 2.91998e9i 1.10775 + 0.533463i
\(273\) −7.05967e9 8.85255e9i −1.27097 1.59374i
\(274\) −1.08520e9 + 4.75455e9i −0.192533 + 0.843543i
\(275\) 5.64736e8 2.47427e9i 0.0987449 0.432630i
\(276\) 3.46795e8 + 7.20128e8i 0.0597636 + 0.124100i
\(277\) 3.81423e9 3.04174e9i 0.647869 0.516659i −0.243521 0.969896i \(-0.578302\pi\)
0.891390 + 0.453237i \(0.149731\pi\)
\(278\) 6.93253e9 + 5.52851e9i 1.16068 + 0.925612i
\(279\) −2.19382e10 + 1.05649e10i −3.62062 + 1.74360i
\(280\) 1.37868e9 + 2.86286e9i 0.224301 + 0.465767i
\(281\) −6.70137e9 + 8.40326e9i −1.07483 + 1.34779i −0.141022 + 0.990006i \(0.545039\pi\)
−0.933804 + 0.357784i \(0.883533\pi\)
\(282\) −1.26162e10 1.58203e10i −1.99496 2.50160i
\(283\) 1.25678e9 6.05233e8i 0.195935 0.0943575i −0.333343 0.942805i \(-0.608177\pi\)
0.529279 + 0.848448i \(0.322463\pi\)
\(284\) 1.30868e9 + 2.98699e8i 0.201169 + 0.0459155i
\(285\) −3.83346e9 8.74961e8i −0.581047 0.132620i
\(286\) −4.37528e9 + 3.48917e9i −0.653946 + 0.521504i
\(287\) 9.71607e8 2.01756e9i 0.143207 0.297372i
\(288\) 7.02832e9 1.60417e9i 1.02160 0.233174i
\(289\) −1.19651e10 5.76211e9i −1.71525 0.826019i
\(290\) 1.94071e8 + 1.54767e8i 0.0274390 + 0.0218819i
\(291\) 4.97620e9 + 1.13579e9i 0.693947 + 0.158389i
\(292\) −1.80213e9 1.43715e9i −0.247888 0.197684i
\(293\) 7.42849e8 + 3.25463e9i 0.100793 + 0.441602i 0.999992 + 0.00406226i \(0.00129306\pi\)
−0.899199 + 0.437540i \(0.855850\pi\)
\(294\) −4.24869e9 −0.568677
\(295\) 1.32228e9i 0.174597i
\(296\) −2.65186e8 1.16185e9i −0.0345448 0.151351i
\(297\) 1.04133e10 8.30437e9i 1.33833 1.06729i
\(298\) −1.45552e9 + 7.00940e8i −0.184566 + 0.0888824i
\(299\) −3.29809e9 1.58828e9i −0.412646 0.198720i
\(300\) 2.17320e9i 0.268296i
\(301\) −1.03844e9 6.52067e9i −0.126507 0.794376i
\(302\) −5.72477e9 −0.688225
\(303\) −2.89728e9 + 6.01626e9i −0.343732 + 0.713767i
\(304\) 1.45967e9 + 3.03104e9i 0.170908 + 0.354893i
\(305\) 2.44940e8 + 3.07144e8i 0.0283048 + 0.0354930i
\(306\) 3.01978e10 6.89246e9i 3.44421 0.786119i
\(307\) −1.26889e9 −0.142847 −0.0714233 0.997446i \(-0.522754\pi\)
−0.0714233 + 0.997446i \(0.522754\pi\)
\(308\) 1.13020e9i 0.125589i
\(309\) 1.74071e10 3.97306e9i 1.90938 0.435804i
\(310\) −5.14014e9 + 6.44554e9i −0.556581 + 0.697931i
\(311\) −1.56243e9 + 6.84545e9i −0.167016 + 0.731746i 0.820163 + 0.572130i \(0.193883\pi\)
−0.987179 + 0.159616i \(0.948974\pi\)
\(312\) −1.61517e10 + 2.02536e10i −1.70452 + 2.13739i
\(313\) −3.87198e9 + 8.04024e9i −0.403418 + 0.837706i 0.595980 + 0.803000i \(0.296764\pi\)
−0.999398 + 0.0347065i \(0.988950\pi\)
\(314\) 2.46350e9 + 1.07933e10i 0.253416 + 1.11029i
\(315\) 1.00234e10 + 4.82702e9i 1.01806 + 0.490271i
\(316\) −2.10598e9 2.64081e9i −0.211206 0.264844i
\(317\) 3.33201e9 1.45985e10i 0.329966 1.44567i −0.489227 0.872156i \(-0.662721\pi\)
0.819193 0.573518i \(-0.194422\pi\)
\(318\) 4.09075e8 1.79228e9i 0.0400032 0.175266i
\(319\) 2.07089e8 + 4.30025e8i 0.0199984 + 0.0415270i
\(320\) 5.43221e9 4.33204e9i 0.518056 0.413136i
\(321\) −6.52759e9 5.20558e9i −0.614798 0.490285i
\(322\) 2.26863e9 1.09251e9i 0.211028 0.101626i
\(323\) −4.39343e9 9.12306e9i −0.403640 0.838167i
\(324\) 3.43391e9 4.30598e9i 0.311608 0.390744i
\(325\) 6.20557e9 + 7.78154e9i 0.556222 + 0.697481i
\(326\) 1.35955e10 6.54724e9i 1.20372 0.579680i
\(327\) −5.67292e9 1.29481e9i −0.496153 0.113244i
\(328\) −4.99488e9 1.14005e9i −0.431548 0.0984981i
\(329\) 1.46328e10 1.16693e10i 1.24895 0.996004i
\(330\) 3.39747e9 7.05492e9i 0.286484 0.594889i
\(331\) −1.62819e10 + 3.71625e9i −1.35642 + 0.309594i −0.838064 0.545571i \(-0.816313\pi\)
−0.518355 + 0.855165i \(0.673456\pi\)
\(332\) −6.21353e8 2.99228e8i −0.0511430 0.0246292i
\(333\) −3.26217e9 2.60149e9i −0.265295 0.211566i
\(334\) 1.36724e10 + 3.12064e9i 1.09865 + 0.250760i
\(335\) 7.65532e9 + 6.10491e9i 0.607832 + 0.484730i
\(336\) −3.01633e9 1.32154e10i −0.236659 1.03687i
\(337\) 1.15496e10 0.895466 0.447733 0.894167i \(-0.352232\pi\)
0.447733 + 0.894167i \(0.352232\pi\)
\(338\) 1.04714e10i 0.802303i
\(339\) 8.81872e9 + 3.86373e10i 0.667739 + 2.92556i
\(340\) −2.40731e9 + 1.91977e9i −0.180143 + 0.143659i
\(341\) −1.42821e10 + 6.87789e9i −1.05627 + 0.508672i
\(342\) 1.39505e10 + 6.71819e9i 1.01973 + 0.491075i
\(343\) 1.50635e10i 1.08830i
\(344\) −1.40159e10 + 5.63596e9i −1.00089 + 0.402471i
\(345\) 5.12203e9 0.361548
\(346\) 5.66430e9 1.17620e10i 0.395222 0.820688i
\(347\) 4.93194e9 + 1.02413e10i 0.340173 + 0.706376i 0.998943 0.0459680i \(-0.0146372\pi\)
−0.658770 + 0.752344i \(0.728923\pi\)
\(348\) 2.54823e8 + 3.19537e8i 0.0173748 + 0.0217874i
\(349\) −1.98888e9 + 4.53949e8i −0.134062 + 0.0305989i −0.289026 0.957321i \(-0.593331\pi\)
0.154963 + 0.987920i \(0.450474\pi\)
\(350\) −6.84626e9 −0.456227
\(351\) 5.22342e10i 3.44133i
\(352\) 4.57555e9 1.04434e9i 0.298038 0.0680253i
\(353\) −4.84085e9 + 6.07024e9i −0.311762 + 0.390937i −0.912883 0.408221i \(-0.866149\pi\)
0.601121 + 0.799158i \(0.294721\pi\)
\(354\) 1.65004e9 7.22932e9i 0.105071 0.460346i
\(355\) 5.36332e9 6.72540e9i 0.337692 0.423452i
\(356\) 6.04127e8 1.25448e9i 0.0376122 0.0781024i
\(357\) 9.07879e9 + 3.97768e10i 0.558927 + 2.44882i
\(358\) −1.94064e10 9.34563e9i −1.18144 0.568953i
\(359\) 8.71658e9 + 1.09302e10i 0.524769 + 0.658040i 0.971614 0.236572i \(-0.0760238\pi\)
−0.446845 + 0.894612i \(0.647452\pi\)
\(360\) 5.66384e9 2.48149e10i 0.337210 1.47742i
\(361\) −2.65284e9 + 1.16228e10i −0.156200 + 0.684358i
\(362\) −2.29547e9 4.76659e9i −0.133671 0.277571i
\(363\) −1.31043e10 + 1.04504e10i −0.754724 + 0.601872i
\(364\) −3.46533e9 2.76351e9i −0.197397 0.157419i
\(365\) −1.33084e10 + 6.40899e9i −0.749816 + 0.361092i
\(366\) −9.55879e8 1.98490e9i −0.0532695 0.110615i
\(367\) 1.04658e10 1.31237e10i 0.576912 0.723425i −0.404671 0.914463i \(-0.632614\pi\)
0.981583 + 0.191038i \(0.0611852\pi\)
\(368\) −2.73235e9 3.42625e9i −0.148986 0.186822i
\(369\) −1.61613e10 + 7.78288e9i −0.871708 + 0.419792i
\(370\) −1.37728e9 3.14355e8i −0.0734877 0.0167731i
\(371\) 1.65775e9 + 3.78371e8i 0.0875032 + 0.0199720i
\(372\) −1.06126e10 + 8.46323e9i −0.554176 + 0.441941i
\(373\) 6.57047e9 1.36437e10i 0.339438 0.704851i −0.659462 0.751738i \(-0.729216\pi\)
0.998900 + 0.0468869i \(0.0149300\pi\)
\(374\) 1.96593e10 4.48710e9i 1.00480 0.229340i
\(375\) −3.19980e10 1.54094e10i −1.61807 0.779223i
\(376\) −3.34783e10 2.66981e10i −1.67499 1.33576i
\(377\) −1.82488e9 4.16517e8i −0.0903377 0.0206190i
\(378\) −2.80911e10 2.24019e10i −1.37595 1.09728i
\(379\) −7.66695e9 3.35911e10i −0.371592 1.62805i −0.722310 0.691569i \(-0.756920\pi\)
0.350719 0.936481i \(-0.385937\pi\)
\(380\) −1.53920e9 −0.0738177
\(381\) 5.78536e10i 2.74556i
\(382\) 7.15636e9 + 3.13540e10i 0.336077 + 1.47245i
\(383\) 2.63744e10 2.10329e10i 1.22571 0.977472i 0.225717 0.974193i \(-0.427528\pi\)
0.999995 0.00327915i \(-0.00104379\pi\)
\(384\) −1.91522e10 + 9.22323e9i −0.880835 + 0.424188i
\(385\) 6.52539e9 + 3.14246e9i 0.297005 + 0.143030i
\(386\) 1.84545e10i 0.831291i
\(387\) −2.60630e10 + 4.60234e10i −1.16193 + 2.05180i
\(388\) 1.99803e9 0.0881608
\(389\) 1.74351e10 3.62044e10i 0.761424 1.58111i −0.0514504 0.998676i \(-0.516384\pi\)
0.812875 0.582438i \(-0.197901\pi\)
\(390\) 1.33240e10 + 2.76675e10i 0.575937 + 1.19594i
\(391\) 8.22402e9 + 1.03126e10i 0.351866 + 0.441226i
\(392\) −8.76551e9 + 2.00067e9i −0.371221 + 0.0847288i
\(393\) 2.32332e10 0.973956
\(394\) 1.30854e10i 0.543003i
\(395\) −2.11028e10 + 4.81657e9i −0.866865 + 0.197856i
\(396\) 5.64460e9 7.07810e9i 0.229537 0.287830i
\(397\) −8.01879e8 + 3.51326e9i −0.0322810 + 0.141432i −0.988500 0.151219i \(-0.951680\pi\)
0.956219 + 0.292651i \(0.0945374\pi\)
\(398\) 8.84557e9 1.10920e10i 0.352528 0.442056i
\(399\) −8.84924e9 + 1.83756e10i −0.349152 + 0.725022i
\(400\) 2.65141e9 + 1.16166e10i 0.103571 + 0.453773i
\(401\) 3.74584e10 + 1.80390e10i 1.44868 + 0.697647i 0.982365 0.186973i \(-0.0598678\pi\)
0.466313 + 0.884620i \(0.345582\pi\)
\(402\) −3.42357e10 4.29302e10i −1.31092 1.64384i
\(403\) 1.38335e10 6.06083e10i 0.524458 2.29780i
\(404\) −5.81654e8 + 2.54839e9i −0.0218343 + 0.0956624i
\(405\) −1.53135e10 3.17989e10i −0.569187 1.18193i
\(406\) 1.00664e9 8.02771e8i 0.0370486 0.0295453i
\(407\) −2.12372e9 1.69361e9i −0.0773964 0.0617215i
\(408\) 8.41011e10 4.05010e10i 3.03502 1.46159i
\(409\) −4.74650e9 9.85621e9i −0.169621 0.352222i 0.798779 0.601625i \(-0.205480\pi\)
−0.968400 + 0.249403i \(0.919766\pi\)
\(410\) −3.78662e9 + 4.74827e9i −0.134003 + 0.168035i
\(411\) 3.20826e10 + 4.02303e10i 1.12435 + 1.40989i
\(412\) 6.29711e9 3.03253e9i 0.218551 0.105248i
\(413\) 6.68670e9 + 1.52620e9i 0.229833 + 0.0524578i
\(414\) −1.96642e10 4.48822e9i −0.669382 0.152782i
\(415\) −3.45529e9 + 2.75550e9i −0.116491 + 0.0928984i
\(416\) −7.98586e9 + 1.65828e10i −0.266654 + 0.553713i
\(417\) 9.12125e10 2.08187e10i 3.01655 0.688507i
\(418\) 9.08197e9 + 4.37365e9i 0.297492 + 0.143265i
\(419\) −2.95516e10 2.35666e10i −0.958792 0.764611i 0.0131300 0.999914i \(-0.495820\pi\)
−0.971922 + 0.235303i \(0.924392\pi\)
\(420\) 6.04636e9 + 1.38004e9i 0.194311 + 0.0443502i
\(421\) −1.78829e10 1.42612e10i −0.569259 0.453969i 0.296075 0.955165i \(-0.404322\pi\)
−0.865334 + 0.501196i \(0.832894\pi\)
\(422\) −7.64890e9 3.35120e10i −0.241185 1.05670i
\(423\) −1.49922e11 −4.68278
\(424\) 3.89029e9i 0.120370i
\(425\) −7.98041e9 3.49645e10i −0.244607 1.07170i
\(426\) −3.77153e10 + 3.00770e10i −1.14520 + 0.913263i
\(427\) 1.83592e9 8.84133e8i 0.0552259 0.0265954i
\(428\) −2.94460e9 1.41804e9i −0.0877508 0.0422586i
\(429\) 5.90468e10i 1.74328i
\(430\) −1.18947e9 + 1.78680e10i −0.0347922 + 0.522639i
\(431\) −4.36886e8 −0.0126607 −0.00633037 0.999980i \(-0.502015\pi\)
−0.00633037 + 0.999980i \(0.502015\pi\)
\(432\) −2.71320e10 + 5.63402e10i −0.779017 + 1.61764i
\(433\) 1.47756e10 + 3.06818e10i 0.420332 + 0.872828i 0.998384 + 0.0568282i \(0.0180987\pi\)
−0.578052 + 0.816000i \(0.696187\pi\)
\(434\) 2.66618e10 + 3.34329e10i 0.751504 + 0.942356i
\(435\) 2.55343e9 5.82803e8i 0.0713127 0.0162766i
\(436\) −2.27778e9 −0.0630326
\(437\) 6.59372e9i 0.180803i
\(438\) 8.07586e10 1.84326e10i 2.19428 0.500831i
\(439\) 1.35929e10 1.70450e10i 0.365978 0.458922i −0.564412 0.825493i \(-0.690897\pi\)
0.930390 + 0.366572i \(0.119469\pi\)
\(440\) 3.68725e9 1.61549e10i 0.0983766 0.431016i
\(441\) −1.96268e10 + 2.46112e10i −0.518913 + 0.650696i
\(442\) −3.43120e10 + 7.12496e10i −0.898994 + 1.86678i
\(443\) 5.89677e9 + 2.58354e10i 0.153108 + 0.670812i 0.991971 + 0.126468i \(0.0403641\pi\)
−0.838862 + 0.544344i \(0.816779\pi\)
\(444\) −2.09565e9 1.00921e9i −0.0539247 0.0259688i
\(445\) −5.56323e9 6.97606e9i −0.141869 0.177898i
\(446\) 9.48765e9 4.15681e10i 0.239783 1.05056i
\(447\) −3.79299e9 + 1.66182e10i −0.0950061 + 0.416249i
\(448\) −1.56369e10 3.24704e10i −0.388186 0.806076i
\(449\) −4.56721e10 + 3.64223e10i −1.12374 + 0.896152i −0.995422 0.0955816i \(-0.969529\pi\)
−0.128317 + 0.991733i \(0.540957\pi\)
\(450\) 4.28762e10 + 3.41926e10i 1.04560 + 0.833839i
\(451\) −1.05213e10 + 5.06678e9i −0.254309 + 0.122469i
\(452\) 6.73108e9 + 1.39772e10i 0.161262 + 0.334863i
\(453\) −3.76609e10 + 4.72253e10i −0.894330 + 1.12145i
\(454\) −2.09605e10 2.62836e10i −0.493375 0.618673i
\(455\) −2.55908e10 + 1.23239e10i −0.597089 + 0.287543i
\(456\) 4.54925e10 + 1.03834e10i 1.05216 + 0.240148i
\(457\) −4.54014e10 1.03626e10i −1.04089 0.237576i −0.332282 0.943180i \(-0.607819\pi\)
−0.708606 + 0.705604i \(0.750676\pi\)
\(458\) −2.86439e10 + 2.28427e10i −0.650983 + 0.519142i
\(459\) 8.16639e10 1.69577e11i 1.83984 3.82046i
\(460\) 1.95475e9 4.46159e8i 0.0436576 0.00996457i
\(461\) 5.09371e10 + 2.45300e10i 1.12780 + 0.543118i 0.902292 0.431125i \(-0.141883\pi\)
0.225503 + 0.974242i \(0.427597\pi\)
\(462\) −3.17548e10 2.53236e10i −0.697015 0.555851i
\(463\) 6.25190e10 + 1.42696e10i 1.36047 + 0.310518i 0.839640 0.543144i \(-0.182766\pi\)
0.520828 + 0.853662i \(0.325623\pi\)
\(464\) −1.75198e9 1.39716e9i −0.0377969 0.0301420i
\(465\) 1.93562e10 + 8.48050e10i 0.414007 + 1.81389i
\(466\) −5.65809e9 −0.119985
\(467\) 2.75075e10i 0.578341i −0.957278 0.289171i \(-0.906620\pi\)
0.957278 0.289171i \(-0.0933795\pi\)
\(468\) 7.90046e9 + 3.46142e10i 0.164691 + 0.721557i
\(469\) 3.97080e10 3.16661e10i 0.820704 0.654489i
\(470\) −4.57330e10 + 2.20239e10i −0.937213 + 0.451338i
\(471\) 1.05243e11 + 5.06826e10i 2.13851 + 1.02985i
\(472\) 1.56919e10i 0.316160i
\(473\) −1.69674e10 + 2.99620e10i −0.338978 + 0.598585i
\(474\) 1.21386e11 2.40466
\(475\) 7.77864e9 1.61525e10i 0.152802 0.317297i
\(476\) 6.92959e9 + 1.43894e10i 0.134983 + 0.280295i
\(477\) −8.49231e9 1.06490e10i −0.164041 0.205701i
\(478\) 5.88984e9 1.34432e9i 0.112821 0.0257508i
\(479\) −8.61037e10 −1.63561 −0.817805 0.575495i \(-0.804809\pi\)
−0.817805 + 0.575495i \(0.804809\pi\)
\(480\) 2.57536e10i 0.485146i
\(481\) 1.03857e10 2.37047e9i 0.194024 0.0442847i
\(482\) −2.89800e10 + 3.63398e10i −0.536922 + 0.673278i
\(483\) 5.91191e9 2.59018e10i 0.108627 0.475928i
\(484\) −4.09080e9 + 5.12970e9i −0.0745464 + 0.0934782i
\(485\) 5.55544e9 1.15360e10i 0.100404 0.208491i
\(486\) 1.68819e10 + 7.39646e10i 0.302606 + 1.32580i
\(487\) 2.26874e10 + 1.09257e10i 0.403338 + 0.194237i 0.624544 0.780990i \(-0.285285\pi\)
−0.221206 + 0.975227i \(0.570999\pi\)
\(488\) −2.90675e9 3.64496e9i −0.0512542 0.0642707i
\(489\) 3.54290e10 1.55225e11i 0.619618 2.71472i
\(490\) −2.37162e9 + 1.03908e10i −0.0411397 + 0.180245i
\(491\) 3.00955e10 + 6.24939e10i 0.517816 + 1.07526i 0.981889 + 0.189459i \(0.0606733\pi\)
−0.464073 + 0.885797i \(0.653612\pi\)
\(492\) −7.81801e9 + 6.23465e9i −0.133425 + 0.106402i
\(493\) 5.27323e9 + 4.20526e9i 0.0892666 + 0.0711878i
\(494\) −3.56170e10 + 1.71523e10i −0.598067 + 0.288014i
\(495\) −2.51721e10 5.22704e10i −0.419275 0.870633i
\(496\) 4.64026e10 5.81871e10i 0.766683 0.961390i
\(497\) −2.78195e10 3.48845e10i −0.455956 0.571751i
\(498\) 2.23296e10 1.07534e10i 0.363048 0.174835i
\(499\) 2.33438e10 + 5.32807e9i 0.376504 + 0.0859346i 0.406585 0.913613i \(-0.366719\pi\)
−0.0300812 + 0.999547i \(0.509577\pi\)
\(500\) −1.35539e10 3.09358e9i −0.216862 0.0494973i
\(501\) 1.15688e11 9.22582e10i 1.83628 1.46438i
\(502\) −1.24422e10 + 2.58365e10i −0.195922 + 0.406836i
\(503\) −5.11402e10 + 1.16724e10i −0.798896 + 0.182343i −0.602434 0.798169i \(-0.705802\pi\)
−0.196462 + 0.980511i \(0.562945\pi\)
\(504\) −1.18950e11 5.72833e10i −1.84350 0.887781i
\(505\) 1.30963e10 + 1.04440e10i 0.201365 + 0.160583i
\(506\) −1.28017e10 2.92190e9i −0.195283 0.0445721i
\(507\) −8.63816e10 6.88870e10i −1.30734 1.04257i
\(508\) −5.03940e9 2.20790e10i −0.0756700 0.331532i
\(509\) 3.06607e10 0.456783 0.228392 0.973569i \(-0.426653\pi\)
0.228392 + 0.973569i \(0.426653\pi\)
\(510\) 1.10653e11i 1.63562i
\(511\) 1.70491e10 + 7.46971e10i 0.250045 + 1.09552i
\(512\) −5.90462e10 + 4.70878e10i −0.859236 + 0.685218i
\(513\) 8.47700e10 4.08231e10i 1.22398 0.589436i
\(514\) 5.82936e10 + 2.80727e10i 0.835158 + 0.402191i
\(515\) 4.47893e10i 0.636715i
\(516\) −8.45583e9 + 2.82461e10i −0.119277 + 0.398438i
\(517\) −9.76015e10 −1.36614
\(518\) −3.17934e9 + 6.60197e9i −0.0441589 + 0.0916968i
\(519\) −5.97653e10 1.24104e11i −0.823720 1.71047i
\(520\) 4.05171e10 + 5.08069e10i 0.554148 + 0.694879i
\(521\) 6.68803e10 1.52650e10i 0.907710 0.207179i 0.256917 0.966434i \(-0.417293\pi\)
0.650794 + 0.759255i \(0.274436\pi\)
\(522\) −1.03136e10 −0.138909
\(523\) 1.81282e10i 0.242297i 0.992634 + 0.121148i \(0.0386577\pi\)
−0.992634 + 0.121148i \(0.961342\pi\)
\(524\) 8.86664e9 2.02375e9i 0.117607 0.0268431i
\(525\) −4.50387e10 + 5.64768e10i −0.592855 + 0.743417i
\(526\) −2.18642e10 + 9.57934e10i −0.285622 + 1.25139i
\(527\) −1.39666e11 + 1.75136e11i −1.81071 + 2.27056i
\(528\) −3.06706e10 + 6.36883e10i −0.394627 + 0.819452i
\(529\) 1.55145e10 + 6.79737e10i 0.198115 + 0.867997i
\(530\) −4.15491e9 2.00090e9i −0.0526573 0.0253584i
\(531\) −3.42546e10 4.29539e10i −0.430864 0.540286i
\(532\) −1.77656e9 + 7.78363e9i −0.0221786 + 0.0971708i
\(533\) 1.01908e10 4.46487e10i 0.126269 0.553222i
\(534\) 2.17105e10 + 4.50824e10i 0.266997 + 0.554424i
\(535\) −1.63747e10 + 1.30583e10i −0.199874 + 0.159394i
\(536\) −9.08474e10 7.24484e10i −1.10066 0.877748i
\(537\) −2.04762e11 + 9.86080e10i −2.46236 + 1.18581i
\(538\) −8.06715e8 1.67516e9i −0.00962922 0.0199953i
\(539\) −1.27773e10 + 1.60223e10i −0.151386 + 0.189832i
\(540\) −1.78382e10 2.23684e10i −0.209786 0.263063i
\(541\) 2.95985e10 1.42539e10i 0.345526 0.166396i −0.253070 0.967448i \(-0.581440\pi\)
0.598595 + 0.801052i \(0.295726\pi\)
\(542\) −4.46381e10 1.01884e10i −0.517260 0.118061i
\(543\) −5.44219e10 1.24214e10i −0.626000 0.142880i
\(544\) 5.18517e10 4.13504e10i 0.592063 0.472154i
\(545\) −6.33326e9 + 1.31512e10i −0.0717863 + 0.149066i
\(546\) 1.55291e11 3.54442e10i 1.74734 0.398818i
\(547\) 1.45155e11 + 6.99029e10i 1.62137 + 0.780811i 0.999996 0.00270252i \(-0.000860239\pi\)
0.621375 + 0.783514i \(0.286575\pi\)
\(548\) 1.57482e10 + 1.25588e10i 0.174626 + 0.139259i
\(549\) −1.59135e10 3.63216e9i −0.175177 0.0399830i
\(550\) 2.79131e10 + 2.22599e10i 0.305040 + 0.243261i
\(551\) 7.50257e8 + 3.28709e9i 0.00813961 + 0.0356620i
\(552\) −6.07843e10 −0.654690
\(553\) 1.12275e11i 1.20055i
\(554\) 1.52716e10 + 6.69091e10i 0.162123 + 0.710307i
\(555\) −1.16537e10 + 9.29355e9i −0.122827 + 0.0979512i
\(556\) 3.29966e10 1.58903e10i 0.345279 0.166277i
\(557\) −1.80714e10 8.70272e9i −0.187746 0.0904137i 0.337649 0.941272i \(-0.390368\pi\)
−0.525395 + 0.850858i \(0.676083\pi\)
\(558\) 3.42539e11i 3.53324i
\(559\) −5.03792e10 1.25286e11i −0.515946 1.28309i
\(560\) −3.40039e10 −0.345761
\(561\) 9.23148e10 1.91694e11i 0.932009 1.93534i
\(562\) −6.56035e10 1.36227e11i −0.657631 1.36558i
\(563\) −1.02276e11 1.28250e11i −1.01798 1.27651i −0.960535 0.278159i \(-0.910276\pi\)
−0.0574459 0.998349i \(-0.518296\pi\)
\(564\) −8.14804e10 + 1.85974e10i −0.805262 + 0.183796i
\(565\) 9.94155e10 0.975574
\(566\) 1.96231e10i 0.191207i
\(567\) −1.78480e11 + 4.07368e10i −1.72686 + 0.394144i
\(568\) −6.36478e10 + 7.98119e10i −0.611491 + 0.766786i
\(569\) 1.10987e10 4.86266e10i 0.105882 0.463901i −0.893993 0.448082i \(-0.852107\pi\)
0.999875 0.0158188i \(-0.00503550\pi\)
\(570\) 3.44879e10 4.32465e10i 0.326714 0.409686i
\(571\) 1.76168e10 3.65817e10i 0.165723 0.344128i −0.801525 0.597962i \(-0.795977\pi\)
0.967248 + 0.253834i \(0.0816917\pi\)
\(572\) 5.14332e9 + 2.25344e10i 0.0480463 + 0.210504i
\(573\) 3.05727e11 + 1.47230e11i 2.83606 + 1.36578i
\(574\) 1.96411e10 + 2.46292e10i 0.180933 + 0.226883i
\(575\) −5.19667e9 + 2.27681e10i −0.0475394 + 0.208284i
\(576\) −6.42389e10 + 2.81449e11i −0.583591 + 2.55688i
\(577\) −4.89849e10 1.01718e11i −0.441935 0.917688i −0.996343 0.0854432i \(-0.972769\pi\)
0.554408 0.832245i \(-0.312945\pi\)
\(578\) 1.46063e11 1.16481e11i 1.30867 1.04363i
\(579\) 1.52236e11 + 1.21405e11i 1.35458 + 1.08024i
\(580\) 9.23715e8 4.44838e8i 0.00816255 0.00393088i
\(581\) 9.94625e9 + 2.06536e10i 0.0872880 + 0.181255i
\(582\) −4.47687e10 + 5.61381e10i −0.390196 + 0.489290i
\(583\) −5.52863e9 6.93268e9i −0.0478568 0.0600105i
\(584\) 1.57934e11 7.60570e10i 1.35776 0.653865i
\(585\) 2.21818e11 + 5.06285e10i 1.89397 + 0.432286i
\(586\) −4.57848e10 1.04501e10i −0.388267 0.0886195i
\(587\) −2.52955e10 + 2.01725e10i −0.213054 + 0.169905i −0.724202 0.689588i \(-0.757792\pi\)
0.511148 + 0.859493i \(0.329220\pi\)
\(588\) −7.61393e9 + 1.58105e10i −0.0636941 + 0.132262i
\(589\) −1.09172e11 + 2.49177e10i −0.907087 + 0.207037i
\(590\) −1.67592e10 8.07082e9i −0.138308 0.0666054i
\(591\) 1.07945e11 + 8.60835e10i 0.884817 + 0.705618i
\(592\) 1.24334e10 + 2.83784e9i 0.101228 + 0.0231047i
\(593\) −3.28193e10 2.61725e10i −0.265406 0.211654i 0.481740 0.876314i \(-0.340005\pi\)
−0.747146 + 0.664660i \(0.768576\pi\)
\(594\) 4.16934e10 + 1.82671e11i 0.334905 + 1.46731i
\(595\) 1.02347e11 0.816599
\(596\) 6.67248e9i 0.0528814i
\(597\) −3.33097e10 1.45939e11i −0.262224 1.14888i
\(598\) 4.02611e10 3.21071e10i 0.314833 0.251071i
\(599\) −2.27322e11 + 1.09473e11i −1.76577 + 0.850352i −0.796397 + 0.604774i \(0.793263\pi\)
−0.969377 + 0.245578i \(0.921022\pi\)
\(600\) 1.48902e11 + 7.17075e10i 1.14894 + 0.553299i
\(601\) 1.59174e10i 0.122004i −0.998138 0.0610020i \(-0.980570\pi\)
0.998138 0.0610020i \(-0.0194296\pi\)
\(602\) 8.89842e10 + 2.66385e10i 0.677528 + 0.202826i
\(603\) −4.06831e11 −3.07712
\(604\) −1.02592e10 + 2.13034e10i −0.0770840 + 0.160066i
\(605\) 1.82429e10 + 3.78818e10i 0.136167 + 0.282754i
\(606\) −5.85687e10 7.34429e10i −0.434286 0.544577i
\(607\) 1.00382e11 2.29115e10i 0.739437 0.168772i 0.163819 0.986490i \(-0.447619\pi\)
0.575618 + 0.817719i \(0.304762\pi\)
\(608\) 3.31532e10 0.242611
\(609\) 1.35852e10i 0.0987635i
\(610\) −5.38792e9 + 1.22976e9i −0.0389137 + 0.00888179i
\(611\) 2.38651e11 2.99259e11i 1.71237 2.14725i
\(612\) 2.84678e10 1.24726e11i 0.202931 0.889099i
\(613\) 4.80173e10 6.02118e10i 0.340060 0.426422i −0.582168 0.813069i \(-0.697795\pi\)
0.922228 + 0.386647i \(0.126367\pi\)
\(614\) 7.74491e9 1.60825e10i 0.0544933 0.113156i
\(615\) 1.42592e10 + 6.24738e10i 0.0996772 + 0.436714i
\(616\) −7.74384e10 3.72924e10i −0.537816 0.258998i
\(617\) 2.98381e10 + 3.74158e10i 0.205888 + 0.258175i 0.874045 0.485845i \(-0.161488\pi\)
−0.668157 + 0.744020i \(0.732917\pi\)
\(618\) −5.58914e10 + 2.44876e11i −0.383169 + 1.67877i
\(619\) −5.56460e10 + 2.43801e11i −0.379028 + 1.66063i 0.321428 + 0.946934i \(0.395837\pi\)
−0.700456 + 0.713696i \(0.747020\pi\)
\(620\) 1.47740e10 + 3.06786e10i 0.0999845 + 0.207620i
\(621\) −9.58230e10 + 7.64163e10i −0.644323 + 0.513830i
\(622\) −7.72258e10 6.15855e10i −0.515942 0.411450i
\(623\) −4.16986e10 + 2.00810e10i −0.276802 + 0.133301i
\(624\) −1.20282e11 2.49768e11i −0.793345 1.64740i
\(625\) 5.82426e9 7.30339e9i 0.0381699 0.0478635i
\(626\) −7.82723e10 9.81503e10i −0.509695 0.639138i
\(627\) 9.58260e10 4.61474e10i 0.620031 0.298591i
\(628\) 4.45794e10 + 1.01750e10i 0.286613 + 0.0654176i
\(629\) −3.74229e10 8.54153e9i −0.239075 0.0545674i
\(630\) −1.22360e11 + 9.75785e10i −0.776740 + 0.619430i
\(631\) −4.35717e9 + 9.04775e9i −0.0274844 + 0.0570720i −0.914259 0.405130i \(-0.867226\pi\)
0.886775 + 0.462202i \(0.152941\pi\)
\(632\) 2.50432e11 5.71594e10i 1.56972 0.358277i
\(633\) −3.26769e11 1.57364e11i −2.03529 0.980145i
\(634\) 1.64690e11 + 1.31336e11i 1.01932 + 0.812881i
\(635\) −1.41489e11 3.22939e10i −0.870217 0.198621i
\(636\) −5.93644e9 4.73415e9i −0.0362825 0.0289343i
\(637\) −1.78838e10 7.83540e10i −0.108618 0.475886i
\(638\) −6.71434e9 −0.0405248
\(639\) 3.57412e11i 2.14371i
\(640\) 1.18659e10 + 5.19878e10i 0.0707262 + 0.309872i
\(641\) −3.35079e10 + 2.67216e10i −0.198479 + 0.158282i −0.717686 0.696367i \(-0.754799\pi\)
0.519207 + 0.854648i \(0.326227\pi\)
\(642\) 1.05820e11 5.09603e10i 0.622915 0.299980i
\(643\) −1.18745e11 5.71847e10i −0.694660 0.334531i 0.0530165 0.998594i \(-0.483116\pi\)
−0.747677 + 0.664063i \(0.768831\pi\)
\(644\) 1.04000e10i 0.0604631i
\(645\) 1.39573e11 + 1.27358e11i 0.806422 + 0.735849i
\(646\) 1.42446e11 0.817937
\(647\) −3.51281e10 + 7.29442e10i −0.200464 + 0.416268i −0.976831 0.214013i \(-0.931346\pi\)
0.776366 + 0.630282i \(0.217061\pi\)
\(648\) 1.81729e11 + 3.77364e11i 1.03068 + 2.14023i
\(649\) −2.23003e10 2.79636e10i −0.125699 0.157621i
\(650\) −1.36504e11 + 3.11561e10i −0.764700 + 0.174538i
\(651\) 4.51195e11 2.51212
\(652\) 6.23254e10i 0.344885i
\(653\) −2.49843e11 + 5.70251e10i −1.37409 + 0.313627i −0.844922 0.534890i \(-0.820353\pi\)
−0.529168 + 0.848517i \(0.677496\pi\)
\(654\) 5.10368e10 6.39981e10i 0.278980 0.349829i
\(655\) 1.29688e10 5.68200e10i 0.0704587 0.308700i
\(656\) 3.41837e10 4.28650e10i 0.184588 0.231466i
\(657\) 2.66289e11 5.52956e11i 1.42920 2.96776i
\(658\) 5.85876e10 + 2.56689e11i 0.312538 + 1.36932i
\(659\) −4.91852e10 2.36863e10i −0.260791 0.125590i 0.298920 0.954278i \(-0.403374\pi\)
−0.559711 + 0.828688i \(0.689088\pi\)
\(660\) −2.01647e10 2.52857e10i −0.106271 0.133260i
\(661\) −4.92220e10 + 2.15656e11i −0.257842 + 1.12968i 0.665712 + 0.746209i \(0.268128\pi\)
−0.923554 + 0.383470i \(0.874729\pi\)
\(662\) 5.22786e10 2.29047e11i 0.272202 1.19260i
\(663\) 3.62034e11 + 7.51771e11i 1.87368 + 3.89073i
\(664\) 4.10047e10 3.27002e10i 0.210941 0.168220i
\(665\) 4.00005e10 + 3.18993e10i 0.204540 + 0.163115i
\(666\) 5.28838e10 2.54675e10i 0.268798 0.129446i
\(667\) −1.90562e9 3.95707e9i −0.00962794 0.0199926i
\(668\) 3.61145e10 4.52862e10i 0.181375 0.227436i
\(669\) −2.80492e11 3.51726e11i −1.40028 1.75590i
\(670\) −1.24102e11 + 5.97644e10i −0.615857 + 0.296581i
\(671\) −1.03599e10 2.36459e9i −0.0511055 0.0116645i
\(672\) −1.30234e11 2.97251e10i −0.638627 0.145763i
\(673\) 2.88743e11 2.30265e11i 1.40751 1.12245i 0.432158 0.901798i \(-0.357752\pi\)
0.975352 0.220654i \(-0.0708190\pi\)
\(674\) −7.04955e10 + 1.46385e11i −0.341603 + 0.709346i
\(675\) 3.24884e11 7.41527e10i 1.56500 0.357201i
\(676\) −3.89668e10 1.87654e10i −0.186599 0.0898611i
\(677\) 2.12366e11 + 1.69356e11i 1.01095 + 0.806208i 0.981130 0.193348i \(-0.0619345\pi\)
0.0298220 + 0.999555i \(0.490506\pi\)
\(678\) −5.43534e11 1.24058e11i −2.57222 0.587092i
\(679\) −5.19246e10 4.14085e10i −0.244283 0.194809i
\(680\) −5.21053e10 2.28288e11i −0.243695 1.06770i
\(681\) −3.54711e11 −1.64925
\(682\) 2.22998e11i 1.03078i
\(683\) 1.65130e10 + 7.23481e10i 0.0758827 + 0.332464i 0.998593 0.0530305i \(-0.0168881\pi\)
−0.922710 + 0.385494i \(0.874031\pi\)
\(684\) 5.00003e10 3.98739e10i 0.228427 0.182165i
\(685\) 1.16297e11 5.60058e10i 0.528211 0.254373i
\(686\) 1.90922e11 + 9.19432e10i 0.862104 + 0.415167i
\(687\) 3.86564e11i 1.73538i
\(688\) 1.07380e10 1.61303e11i 0.0479257 0.719928i
\(689\) 3.47749e10 0.154308
\(690\) −3.12633e10 + 6.49189e10i −0.137924 + 0.286401i
\(691\) −1.53651e11 3.19060e11i −0.673943 1.39946i −0.904532 0.426406i \(-0.859779\pi\)
0.230588 0.973051i \(-0.425935\pi\)
\(692\) −3.36188e10 4.21566e10i −0.146608 0.183841i
\(693\) −2.93382e11 + 6.69625e10i −1.27204 + 0.290335i
\(694\) −1.59906e11 −0.689328
\(695\) 2.34694e11i 1.00592i
\(696\) −3.03021e10 + 6.91626e9i −0.129133 + 0.0294737i
\(697\) −1.02889e11 + 1.29018e11i −0.435950 + 0.546663i
\(698\) 6.38597e9 2.79788e10i 0.0269033 0.117871i
\(699\) −3.72222e10 + 4.66752e10i −0.155917 + 0.195514i
\(700\) −1.22689e10 + 2.54767e10i −0.0510993 + 0.106109i
\(701\) −3.56552e10 1.56215e11i −0.147656 0.646922i −0.993533 0.113544i \(-0.963780\pi\)
0.845877 0.533378i \(-0.179078\pi\)
\(702\) −6.62040e11 3.18822e11i −2.72606 1.31280i
\(703\) −1.19638e10 1.50022e10i −0.0489833 0.0614232i
\(704\) −4.18206e10 + 1.83228e11i −0.170255 + 0.745935i
\(705\) −1.19178e11 + 5.22151e11i −0.482434 + 2.11368i
\(706\) −4.73898e10 9.84060e10i −0.190751 0.396098i
\(707\) 6.79304e10 5.41727e10i 0.271886 0.216822i
\(708\) −2.39452e10 1.90956e10i −0.0952983 0.0759979i
\(709\) −9.41200e10 + 4.53258e10i −0.372475 + 0.179374i −0.610750 0.791823i \(-0.709132\pi\)
0.238276 + 0.971198i \(0.423418\pi\)
\(710\) 5.25046e10 + 1.09027e11i 0.206616 + 0.429043i
\(711\) 5.60739e11 7.03144e11i 2.19423 2.75148i
\(712\) 6.60201e10 + 8.27866e10i 0.256895 + 0.322137i
\(713\) 1.31423e11 6.32900e10i 0.508526 0.244893i
\(714\) −5.59563e11 1.27717e11i −2.15306 0.491422i
\(715\) 1.44407e11 + 3.29599e10i 0.552540 + 0.126114i
\(716\) −6.95551e10 + 5.54683e10i −0.264653 + 0.211054i
\(717\) 2.76571e10 5.74307e10i 0.104648 0.217304i
\(718\) −1.91738e11 + 4.37630e10i −0.721458 + 0.164668i
\(719\) −1.50474e11 7.24646e10i −0.563050 0.271150i 0.130633 0.991431i \(-0.458299\pi\)
−0.693683 + 0.720280i \(0.744013\pi\)
\(720\) 2.12956e11 + 1.69827e11i 0.792430 + 0.631941i
\(721\) −2.26496e11 5.16963e10i −0.838147 0.191302i
\(722\) −1.31121e11 1.04566e11i −0.482529 0.384804i
\(723\) 1.09130e11 + 4.78129e11i 0.399384 + 1.74982i
\(724\) −2.18514e10 −0.0795287
\(725\) 1.19416e10i 0.0432226i
\(726\) −5.24677e10 2.29876e11i −0.188862 0.827460i
\(727\) −1.17501e11 + 9.37041e10i −0.420634 + 0.335445i −0.810824 0.585290i \(-0.800981\pi\)
0.390190 + 0.920734i \(0.372409\pi\)
\(728\) 3.03692e11 1.46251e11i 1.08121 0.520681i
\(729\) 1.60890e11 + 7.74807e10i 0.569665 + 0.274336i
\(730\) 2.07795e11i 0.731719i
\(731\) −3.23200e10 + 4.85502e11i −0.113188 + 1.70028i
\(732\) −9.09934e9 −0.0316931
\(733\) 1.33532e11 2.77283e11i 0.462563 0.960521i −0.531014 0.847363i \(-0.678189\pi\)
0.993577 0.113159i \(-0.0360968\pi\)
\(734\) 1.02456e11 + 2.12752e11i 0.352983 + 0.732976i
\(735\) 7.01144e10 + 8.79207e10i 0.240247 + 0.301260i
\(736\) −4.21039e10 + 9.60994e9i −0.143487 + 0.0327499i
\(737\) −2.64853e11 −0.897709
\(738\) 2.52340e11i 0.850669i
\(739\) 1.46160e11 3.33601e10i 0.490062 0.111853i 0.0296527 0.999560i \(-0.490560\pi\)
0.460409 + 0.887707i \(0.347703\pi\)
\(740\) −3.63796e9 + 4.56186e9i −0.0121320 + 0.0152130i
\(741\) −9.28159e10 + 4.06653e11i −0.307857 + 1.34881i
\(742\) −1.49141e10 + 1.87016e10i −0.0492017 + 0.0616970i
\(743\) −1.09297e11 + 2.26957e11i −0.358635 + 0.744713i −0.999741 0.0227387i \(-0.992761\pi\)
0.641106 + 0.767452i \(0.278476\pi\)
\(744\) −2.29705e11 1.00640e12i −0.749683 3.28458i
\(745\) 3.85248e10 + 1.85525e10i 0.125059 + 0.0602252i
\(746\) 1.32823e11 + 1.66554e11i 0.428861 + 0.537775i
\(747\) 4.08607e10 1.79023e11i 0.131227 0.574944i
\(748\) 1.85330e10 8.11984e10i 0.0592024 0.259383i
\(749\) 4.71354e10 + 9.78776e10i 0.149768 + 0.310997i
\(750\) 3.90612e11 3.11503e11i 1.23453 0.984503i
\(751\) −4.01774e11 3.20404e11i −1.26305 1.00725i −0.999087 0.0427195i \(-0.986398\pi\)
−0.263966 0.964532i \(-0.585031\pi\)
\(752\) 4.12855e11 1.98820e11i 1.29100 0.621713i
\(753\) 1.31281e11 + 2.72607e11i 0.408339 + 0.847925i
\(754\) 1.64176e10 2.05871e10i 0.0507955 0.0636955i