Properties

Label 43.9.f.a.2.8
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 2.8
Character \(\chi\) \(=\) 43.2
Dual form 43.9.f.a.22.8

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.10369 12.6745i −0.381481 0.792153i −0.999980 0.00636757i \(-0.997973\pi\)
0.618499 0.785786i \(-0.287741\pi\)
\(3\) 64.4015 133.731i 0.795080 1.65100i 0.0365784 0.999331i \(-0.488354\pi\)
0.758502 0.651671i \(-0.225932\pi\)
\(4\) 36.2267 45.4269i 0.141511 0.177449i
\(5\) 363.007 + 82.8539i 0.580811 + 0.132566i 0.502825 0.864388i \(-0.332294\pi\)
0.0779857 + 0.996954i \(0.475151\pi\)
\(6\) −2088.06 −1.61115
\(7\) 1931.33i 0.804386i 0.915555 + 0.402193i \(0.131752\pi\)
−0.915555 + 0.402193i \(0.868248\pi\)
\(8\) −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 0.519680 0.854361i \(-0.326051\pi\)
−0.948580 + 0.316537i \(0.897480\pi\)
\(12\) −3741.93 7770.20i −0.180456 0.374720i
\(13\) −8789.14 + 38507.7i −0.307732 + 1.34826i 0.550429 + 0.834882i \(0.314464\pi\)
−0.858161 + 0.513381i \(0.828393\pi\)
\(14\) 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 −0.699971 0.714172i \(-0.746804\pi\)
0.320784 0.947152i \(-0.396054\pi\)
\(18\) −94427.6 + 196081.i −0.899516 + 1.86786i
\(19\) −55624.5 44359.1i −0.426827 0.340383i 0.386398 0.922332i \(-0.373719\pi\)
−0.813225 + 0.581949i \(0.802290\pi\)
\(20\) 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 0.874282 0.485418i \(-0.161333\pi\)
−0.667794 + 0.744346i \(0.732761\pi\)
\(24\) −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 0.914999 0.403456i \(-0.132191\pi\)
−0.885927 + 0.463824i \(0.846477\pi\)
\(30\) −757978. 173004.i −0.935776 0.213585i
\(31\) 1.41806e6 682901.i 1.53549 0.739453i 0.540683 0.841226i \(-0.318166\pi\)
0.994808 + 0.101773i \(0.0324515\pi\)
\(32\) −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 \(-0.977077\pi\)
0.997408 0.0719532i \(-0.0229232\pi\)
\(38\) −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 −0.239810 0.970820i \(-0.577085\pi\)
0.609498 + 0.792788i \(0.291371\pi\)
\(42\) 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 0.526580 0.850125i \(-0.323474\pi\)
0.711636 0.702548i \(-0.247955\pi\)
\(48\) 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 0.960995 0.276566i \(-0.0891963\pi\)
−0.985824 + 0.167783i \(0.946339\pi\)
\(54\) 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 0.931797 0.362981i \(-0.118241\pi\)
−0.997011 + 0.0772567i \(0.975384\pi\)
\(60\) −714555. 3.13067e6i −0.0551354 0.241564i
\(61\) 457784. 950598.i 0.0330629 0.0686559i −0.883783 0.467897i \(-0.845012\pi\)
0.916846 + 0.399241i \(0.130726\pi\)
\(62\) −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 −0.185640 0.982618i \(-0.559436\pi\)
0.999290 0.0376677i \(-0.0119928\pi\)
\(68\) −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 0.910746 0.412968i \(-0.135508\pi\)
−0.199954 + 0.979805i \(0.564079\pi\)
\(72\) 2.96600e7 + 6.15897e7i 1.10368 + 2.29181i
\(73\) −3.86765e7 8.82765e6i −1.36193 0.310852i −0.521723 0.853115i \(-0.674711\pi\)
−0.840209 + 0.542263i \(0.817568\pi\)
\(74\) −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 0.317811 0.948154i \(-0.397052\pi\)
−0.543145 + 0.839639i \(0.682767\pi\)
\(84\) 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 −0.967246 0.253840i \(-0.918306\pi\)
0.801529 + 0.597956i \(0.204020\pi\)
\(90\) −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 0.888036 0.459773i \(-0.152069\pi\)
−0.645852 + 0.763462i \(0.723498\pi\)
\(98\) −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 −0.628572 0.777751i \(-0.716360\pi\)
0.898122 + 0.439747i \(0.144932\pi\)
\(102\) 6.61288e7 + 2.89729e8i 0.610928 + 2.67665i
\(103\) 2.67672e7 + 1.17275e8i 0.237823 + 1.04197i 0.942962 + 0.332901i \(0.108027\pi\)
−0.705139 + 0.709069i \(0.749115\pi\)
\(104\) 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 0.230466 0.973080i \(-0.425975\pi\)
−0.617092 + 0.786891i \(0.711689\pi\)
\(108\) −3.33390e7 + 6.92291e7i −0.245051 + 0.508855i
\(109\) −2.44422e7 3.06496e7i −0.173155 0.217130i 0.687680 0.726014i \(-0.258629\pi\)
−0.860835 + 0.508885i \(0.830058\pi\)
\(110\) −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 0.670503 0.741907i \(-0.266078\pi\)
0.926004 + 0.377515i \(0.123221\pi\)
\(114\) 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 −0.962361 0.271773i \(-0.912390\pi\)
−0.387542 + 0.921852i \(0.626676\pi\)
\(128\) 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 0.983876 0.178851i \(-0.0572379\pi\)
−0.753268 + 0.657714i \(0.771524\pi\)
\(132\) −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 0.673429 0.739252i \(-0.264821\pi\)
0.285989 + 0.958233i \(0.407678\pi\)
\(138\) −1.20656e8 1.51298e8i −0.332684 0.417173i
\(139\) 1.40259e8 + 6.14514e8i 0.375726 + 1.64616i 0.710378 + 0.703820i \(0.248524\pi\)
−0.334652 + 0.942342i \(0.608619\pi\)
\(140\) 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 −0.528164 0.849142i \(-0.677119\pi\)
0.710325 + 0.703874i \(0.248548\pi\)
\(150\) 4.74055e8 + 2.28293e8i 0.936405 + 0.450949i
\(151\) 1.76568e8 3.66647e8i 0.339629 0.705246i −0.659283 0.751895i \(-0.729140\pi\)
0.998911 + 0.0466490i \(0.0148542\pi\)
\(152\) 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 0.981411 0.191916i \(-0.0614702\pi\)
0.0312799 + 0.999511i \(0.490042\pi\)
\(158\) 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 −0.999400 0.0346235i \(-0.988977\pi\)
−0.188632 + 0.982048i \(0.560405\pi\)
\(164\) 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 0.605815 + 0.795605i \(0.292847\pi\)
−0.891021 + 0.453962i \(0.850010\pi\)
\(168\) −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 \(-0.732107\pi\)
0.666263 0.745716i \(-0.267893\pi\)
\(180\) −3.26303e8 7.44764e7i −0.310835 0.0709462i
\(181\) −2.34481e8 2.94030e8i −0.218471 0.273954i 0.660503 0.750823i \(-0.270343\pi\)
−0.878974 + 0.476869i \(0.841772\pi\)
\(182\) 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 0.990833 + 0.135089i \(0.0431320\pi\)
0.352183 + 0.935931i \(0.385439\pi\)
\(192\) 2.16549e9 1.72692e9i 1.59350 1.27077i
\(193\) 1.18193e9 + 5.69189e8i 0.851851 + 0.410230i 0.808264 0.588820i \(-0.200407\pi\)
0.0435864 + 0.999050i \(0.486122\pi\)
\(194\) 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 0.690895 0.722955i \(-0.257217\pi\)
−0.134463 + 0.990919i \(0.542931\pi\)
\(198\) 2.13696e9 4.87747e8i 1.39039 0.317346i
\(199\) −9.83217e8 + 2.24413e8i −0.626956 + 0.143099i −0.524182 0.851606i \(-0.675629\pi\)
−0.102774 + 0.994705i \(0.532772\pi\)
\(200\) 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 0.00906004 0.999959i \(-0.497116\pi\)
−0.972872 + 0.231345i \(0.925687\pi\)
\(212\) −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 −0.421591 0.906786i \(-0.638528\pi\)
−0.773280 + 0.634064i \(0.781386\pi\)
\(224\) −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 −0.999838 0.0179724i \(-0.994279\pi\)
0.609338 0.792911i \(-0.291435\pi\)
\(228\) −1.36536e8 + 5.98202e8i −0.0505251 + 0.221365i
\(229\) 2.34644e9 1.12998e9i 0.853231 0.410895i 0.0444554 0.999011i \(-0.485845\pi\)
0.808776 + 0.588117i \(0.200130\pi\)
\(230\) 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 −0.869264 0.494349i \(-0.835407\pi\)
0.928474 + 0.371396i \(0.121121\pi\)
\(234\) −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 −0.821168 0.570686i \(-0.806677\pi\)
0.739105 + 0.673590i \(0.235249\pi\)
\(240\) 2.35453e9 + 1.13388e9i 0.709674 + 0.341761i
\(241\) 3.22124e9 7.35226e8i 0.954893 0.217948i 0.283435 0.958991i \(-0.408526\pi\)
0.671457 + 0.741043i \(0.265669\pi\)
\(242\) −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 \(0.176737\pi\)
−0.849776 + 0.527144i \(0.823263\pi\)
\(258\) −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 0.863739 0.503940i \(-0.168117\pi\)
0.559550 + 0.828796i \(0.310974\pi\)
\(264\) 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 0.773900 0.633308i \(-0.218303\pi\)
−0.789638 + 0.613573i \(0.789732\pi\)
\(270\) 3.00548e9 + 6.24095e9i 0.565535 + 1.17434i
\(271\) 7.24244e8 3.17312e9i 0.134279 0.588314i −0.862353 0.506308i \(-0.831010\pi\)
0.996632 0.0820065i \(-0.0261328\pi\)
\(272\) 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 0.891390 0.453237i \(-0.149731\pi\)
−0.243521 + 0.969896i \(0.578302\pi\)
\(278\) 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 −0.933804 0.357784i \(-0.883533\pi\)
−0.141022 0.990006i \(-0.545039\pi\)
\(282\) −1.26162e10 + 1.58203e10i −1.99496 + 2.50160i
\(283\) 1.25678e9 + 6.05233e8i 0.195935 + 0.0943575i 0.529279 0.848448i \(-0.322463\pi\)
−0.333343 + 0.942805i \(0.608177\pi\)
\(284\) 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 −0.899199 0.437540i \(-0.855850\pi\)
0.999992 0.00406226i \(-0.00129306\pi\)
\(294\) −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 −0.987179 0.159616i \(-0.948974\pi\)
0.820163 0.572130i \(-0.193883\pi\)
\(312\) −1.61517e10 2.02536e10i −1.70452 2.13739i
\(313\) −3.87198e9 8.04024e9i −0.403418 0.837706i −0.999398 0.0347065i \(-0.988950\pi\)
0.595980 0.803000i \(-0.296764\pi\)
\(314\) 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 0.819193 + 0.573518i \(0.194422\pi\)
−0.489227 + 0.872156i \(0.662721\pi\)
\(318\) 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 −0.518355 0.855165i \(-0.673456\pi\)
−0.838064 + 0.545571i \(0.816313\pi\)
\(332\) −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 −0.658770 0.752344i \(-0.728923\pi\)
0.998943 + 0.0459680i \(0.0146372\pi\)
\(348\) 2.54823e8 3.19537e8i 0.0173748 0.0217874i
\(349\) −1.98888e9 4.53949e8i −0.134062 0.0305989i 0.154963 0.987920i \(-0.450474\pi\)
−0.289026 + 0.957321i \(0.593331\pi\)
\(350\) −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 0.601121 0.799158i \(-0.294721\pi\)
−0.912883 + 0.408221i \(0.866149\pi\)
\(354\) 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 −0.446845 0.894612i \(-0.647452\pi\)
0.971614 + 0.236572i \(0.0760238\pi\)
\(360\) 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 0.981583 0.191038i \(-0.0611852\pi\)
−0.404671 + 0.914463i \(0.632614\pi\)
\(368\) −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 0.998900 0.0468869i \(-0.0149300\pi\)
−0.659462 + 0.751738i \(0.729216\pi\)
\(374\) 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 0.350719 + 0.936481i \(0.385937\pi\)
−0.722310 + 0.691569i \(0.756920\pi\)
\(380\) −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 0.999995 + 0.00327915i \(0.00104379\pi\)
0.225717 + 0.974193i \(0.427528\pi\)
\(384\) −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 0.812875 + 0.582438i \(0.197901\pi\)
−0.0514504 + 0.998676i \(0.516384\pi\)
\(390\) 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 0.956219 0.292651i \(-0.0945374\pi\)
−0.988500 + 0.151219i \(0.951680\pi\)
\(398\) 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 0.466313 0.884620i \(-0.345582\pi\)
0.982365 + 0.186973i \(0.0598678\pi\)
\(402\) −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 −0.968400 0.249403i \(-0.919766\pi\)
0.798779 + 0.601625i \(0.205480\pi\)
\(410\) −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 −0.971922 0.235303i \(-0.924392\pi\)
0.0131300 + 0.999914i \(0.495820\pi\)
\(420\) 6.04636e9 1.38004e9i 0.194311 0.0443502i
\(421\) −1.78829e10 + 1.42612e10i −0.569259 + 0.453969i −0.865334 0.501196i \(-0.832894\pi\)
0.296075 + 0.955165i \(0.404322\pi\)
\(422\) −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 −0.578052 0.816000i \(-0.696187\pi\)
0.998384 0.0568282i \(-0.0180987\pi\)
\(434\) 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 0.930390 0.366572i \(-0.119469\pi\)
−0.564412 + 0.825493i \(0.690897\pi\)
\(440\) 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 −0.838862 0.544344i \(-0.816779\pi\)
0.991971 0.126468i \(-0.0403641\pi\)
\(444\) −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 −0.128317 0.991733i \(-0.540957\pi\)
−0.995422 + 0.0955816i \(0.969529\pi\)
\(450\) 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 −0.708606 0.705604i \(-0.750676\pi\)
−0.332282 + 0.943180i \(0.607819\pi\)
\(458\) −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 0.225503 0.974242i \(-0.427597\pi\)
0.902292 + 0.431125i \(0.141883\pi\)
\(462\) −3.17548e10 + 2.53236e10i −0.697015 + 0.555851i
\(463\) 6.25190e10 1.42696e10i 1.36047 0.310518i 0.520828 0.853662i \(-0.325623\pi\)
0.839640 + 0.543144i \(0.182766\pi\)
\(464\) −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 \(0.0933795\pi\)
−0.957278 + 0.289171i \(0.906620\pi\)
\(468\) 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 −0.221206 0.975227i \(-0.570999\pi\)
0.624544 + 0.780990i \(0.285285\pi\)
\(488\) −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 −0.464073 0.885797i \(-0.653612\pi\)
0.981889 0.189459i \(-0.0606733\pi\)
\(492\) −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 −0.0300812 0.999547i \(-0.509577\pi\)
0.406585 + 0.913613i \(0.366719\pi\)
\(500\) −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 −0.196462 0.980511i \(-0.562945\pi\)
−0.602434 + 0.798169i \(0.705802\pi\)
\(504\) −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 0.650794 0.759255i \(-0.274436\pi\)
0.256917 + 0.966434i \(0.417293\pi\)
\(522\) −1.03136e10 −0.138909
\(523\) 1.81282e10i 0.242297i −0.992634 0.121148i \(-0.961342\pi\)
0.992634 0.121148i \(-0.0386577\pi\)
\(524\) 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 0.598595 0.801052i \(-0.295726\pi\)
−0.253070 + 0.967448i \(0.581440\pi\)
\(542\) −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 0.621375 0.783514i \(-0.286575\pi\)
0.999996 + 0.00270252i \(0.000860239\pi\)
\(548\) 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 −0.525395 0.850858i \(-0.676083\pi\)
0.337649 + 0.941272i \(0.390368\pi\)
\(558\) 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 −0.0574459 + 0.998349i \(0.518296\pi\)
−0.960535 + 0.278159i \(0.910276\pi\)
\(564\) −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 0.999875 + 0.0158188i \(0.00503550\pi\)
−0.893993 + 0.448082i \(0.852107\pi\)
\(570\) 3.44879e10 + 4.32465e10i 0.326714 + 0.409686i
\(571\) 1.76168e10 + 3.65817e10i 0.165723 + 0.344128i 0.967248 0.253834i \(-0.0816917\pi\)
−0.801525 + 0.597962i \(0.795977\pi\)
\(572\) 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 0.554408 + 0.832245i \(0.312945\pi\)
−0.996343 + 0.0854432i \(0.972769\pi\)
\(578\) 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 0.511148 0.859493i \(-0.329220\pi\)
−0.724202 + 0.689588i \(0.757792\pi\)
\(588\) −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 −0.747146 0.664660i \(-0.768576\pi\)
0.481740 + 0.876314i \(0.340005\pi\)
\(594\) 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 −0.969377 0.245578i \(-0.921022\pi\)
−0.796397 0.604774i \(-0.793263\pi\)
\(600\) 1.48902e11 7.17075e10i 1.14894 0.553299i
\(601\) 1.59174e10i 0.122004i 0.998138 + 0.0610020i \(0.0194296\pi\)
−0.998138 + 0.0610020i \(0.980570\pi\)
\(602\) 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 0.575618 0.817719i \(-0.304762\pi\)
0.163819 + 0.986490i \(0.447619\pi\)
\(608\) 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 0.922228 0.386647i \(-0.126367\pi\)
−0.582168 + 0.813069i \(0.697795\pi\)
\(614\) 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 −0.668157 0.744020i \(-0.732917\pi\)
0.874045 + 0.485845i \(0.161488\pi\)
\(618\) −5.58914e10 2.44876e11i −0.383169 1.67877i
\(619\) −5.56460e10 2.43801e11i −0.379028 1.66063i −0.700456 0.713696i \(-0.747020\pi\)
0.321428 0.946934i \(-0.395837\pi\)
\(620\) 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 0.886775 0.462202i \(-0.152941\pi\)
−0.914259 + 0.405130i \(0.867226\pi\)
\(632\) 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 0.519207 0.854648i \(-0.326227\pi\)
−0.717686 + 0.696367i \(0.754799\pi\)
\(642\) 1.05820e11 + 5.09603e10i 0.622915 + 0.299980i
\(643\) −1.18745e11 + 5.71847e10i −0.694660 + 0.334531i −0.747677 0.664063i \(-0.768831\pi\)
0.0530165 + 0.998594i \(0.483116\pi\)
\(644\) 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 0.776366 0.630282i \(-0.217061\pi\)
−0.976831 + 0.214013i \(0.931346\pi\)
\(648\) 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 −0.529168 0.848517i \(-0.677496\pi\)
−0.844922 + 0.534890i \(0.820353\pi\)
\(654\) 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 −0.559711 0.828688i \(-0.689088\pi\)
0.298920 + 0.954278i \(0.403374\pi\)
\(660\) −2.01647e10 + 2.52857e10i −0.106271 + 0.133260i
\(661\) −4.92220e10 2.15656e11i −0.257842 1.12968i −0.923554 0.383470i \(-0.874729\pi\)
0.665712 0.746209i \(-0.268128\pi\)
\(662\) 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 0.975352 + 0.220654i \(0.0708190\pi\)
0.432158 + 0.901798i \(0.357752\pi\)
\(674\) −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 0.0298220 0.999555i \(-0.490506\pi\)
0.981130 + 0.193348i \(0.0619345\pi\)
\(678\) −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 −0.922710 0.385494i \(-0.874031\pi\)
0.998593 + 0.0530305i \(0.0168881\pi\)
\(684\) 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 0.230588 + 0.973051i \(0.425935\pi\)
−0.904532 + 0.426406i \(0.859779\pi\)
\(692\) −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 0.845877 + 0.533378i \(0.179078\pi\)
−0.993533 + 0.113544i \(0.963780\pi\)
\(702\) −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 0.238276 0.971198i \(-0.423418\pi\)
−0.610750 + 0.791823i \(0.709132\pi\)
\(710\) 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 −0.693683 0.720280i \(-0.744013\pi\)
0.130633 + 0.991431i \(0.458299\pi\)
\(720\) 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 0.390190 0.920734i \(-0.372409\pi\)
−0.810824 + 0.585290i \(0.800981\pi\)
\(728\) 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 0.993577 + 0.113159i \(0.0360968\pi\)
−0.531014 + 0.847363i \(0.678189\pi\)
\(734\) 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 0.460409 0.887707i \(-0.347703\pi\)
0.0296527 + 0.999560i \(0.490560\pi\)
\(740\) −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 0.641106 0.767452i \(-0.278476\pi\)
−0.999741 + 0.0227387i \(0.992761\pi\)
\(744\) −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 −0.263966 + 0.964532i \(0.585031\pi\)
−0.999087 + 0.0427195i \(0.986398\pi\)
\(752\) 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