Properties

Label 17.10.d.a.2.1
Level $17$
Weight $10$
Character 17.2
Analytic conductor $8.756$
Analytic rank $0$
Dimension $52$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 17 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 17.d (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.75560921479\)
Analytic rank: \(0\)
Dimension: \(52\)
Relative dimension: \(13\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 2.1
Character \(\chi\) \(=\) 17.2
Dual form 17.10.d.a.9.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-29.1798 - 29.1798i) q^{2} +(-162.034 + 67.1166i) q^{3} +1190.92i q^{4} +(-267.860 - 646.671i) q^{5} +(6686.56 + 2769.66i) q^{6} +(-3386.34 + 8175.34i) q^{7} +(19810.7 - 19810.7i) q^{8} +(7832.33 - 7832.33i) q^{9} +O(q^{10})\) \(q+(-29.1798 - 29.1798i) q^{2} +(-162.034 + 67.1166i) q^{3} +1190.92i q^{4} +(-267.860 - 646.671i) q^{5} +(6686.56 + 2769.66i) q^{6} +(-3386.34 + 8175.34i) q^{7} +(19810.7 - 19810.7i) q^{8} +(7832.33 - 7832.33i) q^{9} +(-11053.6 + 26685.8i) q^{10} +(-83690.3 - 34665.6i) q^{11} +(-79930.4 - 192969. i) q^{12} +26249.8i q^{13} +(337367. - 139742. i) q^{14} +(86804.7 + 86804.7i) q^{15} -546392. q^{16} +(209492. - 273315. i) q^{17} -457091. q^{18} +(268213. + 268213. i) q^{19} +(770132. - 318999. i) q^{20} -1.55196e6i q^{21} +(1.43053e6 + 3.45360e6i) q^{22} +(-184114. - 76262.4i) q^{23} +(-1.88037e6 + 4.53962e6i) q^{24} +(1.03463e6 - 1.03463e6i) q^{25} +(765964. - 765964. i) q^{26} +(577633. - 1.39453e6i) q^{27} +(-9.73616e6 - 4.03285e6i) q^{28} +(630380. + 1.52187e6i) q^{29} -5.06588e6i q^{30} +(-5.69663e6 + 2.35962e6i) q^{31} +(5.80053e6 + 5.80053e6i) q^{32} +1.58873e7 q^{33} +(-1.40882e7 + 1.86232e6i) q^{34} +6.19382e6 q^{35} +(9.32766e6 + 9.32766e6i) q^{36} +(1.85236e7 - 7.67272e6i) q^{37} -1.56528e7i q^{38} +(-1.76180e6 - 4.25336e6i) q^{39} +(-1.81175e7 - 7.50451e6i) q^{40} +(-9.72240e6 + 2.34720e7i) q^{41} +(-4.52858e7 + 4.52858e7i) q^{42} +(-315278. + 315278. i) q^{43} +(4.12840e7 - 9.96683e7i) q^{44} +(-7.16291e6 - 2.96697e6i) q^{45} +(3.14708e6 + 7.59771e6i) q^{46} -1.95869e7i q^{47} +(8.85340e7 - 3.66720e7i) q^{48} +(-2.68346e7 - 2.68346e7i) q^{49} -6.03807e7 q^{50} +(-1.56009e7 + 5.83466e7i) q^{51} -3.12614e7 q^{52} +(4.24020e7 + 4.24020e7i) q^{53} +(-5.75473e7 + 2.38369e7i) q^{54} +6.34056e7i q^{55} +(9.48734e7 + 2.29045e8i) q^{56} +(-6.14612e7 - 2.54581e7i) q^{57} +(2.60135e7 - 6.28023e7i) q^{58} +(7.36506e6 - 7.36506e6i) q^{59} +(-1.03377e8 + 1.03377e8i) q^{60} +(5.62858e7 - 1.35886e8i) q^{61} +(2.35079e8 + 9.73731e7i) q^{62} +(3.75090e7 + 9.05548e7i) q^{63} -5.87635e7i q^{64} +(1.69750e7 - 7.03127e6i) q^{65} +(-4.63588e8 - 4.63588e8i) q^{66} +1.11288e8 q^{67} +(3.25495e8 + 2.49488e8i) q^{68} +3.49511e7 q^{69} +(-1.80734e8 - 1.80734e8i) q^{70} +(8.95946e7 - 3.71113e7i) q^{71} -3.10328e8i q^{72} +(-2.39570e6 - 5.78373e6i) q^{73} +(-7.64402e8 - 3.16626e8i) q^{74} +(-9.82045e7 + 2.37087e8i) q^{75} +(-3.19420e8 + 3.19420e8i) q^{76} +(5.66807e8 - 5.66807e8i) q^{77} +(-7.27031e7 + 1.75521e8i) q^{78} +(-3.10052e8 - 1.28428e8i) q^{79} +(1.46357e8 + 3.53336e8i) q^{80} +4.82750e8i q^{81} +(9.68604e8 - 4.01209e8i) q^{82} +(3.37673e8 + 3.37673e8i) q^{83} +1.84826e9 q^{84} +(-2.32859e8 - 6.22625e7i) q^{85} +1.83995e7 q^{86} +(-2.04286e8 - 2.04286e8i) q^{87} +(-2.34471e9 + 9.71211e8i) q^{88} -1.92204e8i q^{89} +(1.22436e8 + 2.95588e8i) q^{90} +(-2.14601e8 - 8.88907e7i) q^{91} +(9.08222e7 - 2.19264e8i) q^{92} +(7.64676e8 - 7.64676e8i) q^{93} +(-5.71542e8 + 5.71542e8i) q^{94} +(1.01602e8 - 2.45289e8i) q^{95} +(-1.32919e9 - 5.50570e8i) q^{96} +(-8.11961e7 - 1.96025e8i) q^{97} +1.56605e9i q^{98} +(-9.27003e8 + 3.83977e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 52 q - 4 q^{2} - 4 q^{3} - 1140 q^{5} + 12308 q^{6} - 4 q^{7} + 2044 q^{8} - 83224 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 52 q - 4 q^{2} - 4 q^{3} - 1140 q^{5} + 12308 q^{6} - 4 q^{7} + 2044 q^{8} - 83224 q^{9} - 117636 q^{10} - 115768 q^{11} - 145528 q^{12} + 463660 q^{14} + 288244 q^{15} - 3407880 q^{16} - 271932 q^{17} + 2193336 q^{18} - 406700 q^{19} + 493564 q^{20} + 800964 q^{22} - 4172180 q^{23} + 15078440 q^{24} + 11946576 q^{25} - 14209012 q^{26} - 7973656 q^{27} + 13540804 q^{28} + 7833752 q^{29} + 5936252 q^{31} - 26730116 q^{32} - 1635208 q^{33} - 53493988 q^{34} + 46992776 q^{35} - 12761764 q^{36} + 74606796 q^{37} + 74096776 q^{39} - 69317672 q^{40} - 71362288 q^{41} - 308117664 q^{42} - 3765712 q^{43} + 163659820 q^{44} + 14167408 q^{45} + 72135428 q^{46} + 164621412 q^{48} - 284548508 q^{49} + 226223888 q^{50} - 406733132 q^{51} + 103553016 q^{52} - 244724728 q^{53} + 971226260 q^{54} + 470691652 q^{56} - 440646580 q^{57} - 308561768 q^{58} - 481734984 q^{59} + 379626176 q^{60} + 507966228 q^{61} + 358867236 q^{62} + 1070586456 q^{63} + 366263684 q^{65} - 2244715148 q^{66} - 311910088 q^{67} - 1839196668 q^{68} + 533688136 q^{69} + 34867672 q^{70} + 186006812 q^{71} + 487115192 q^{73} - 214149412 q^{74} + 533015920 q^{75} + 1104236912 q^{76} - 237869092 q^{77} - 2081523384 q^{78} - 136338052 q^{79} - 922534152 q^{80} + 1951892384 q^{82} + 1843663888 q^{83} - 2630025952 q^{84} - 395061976 q^{85} + 1538547296 q^{86} - 369395636 q^{87} - 3388839640 q^{88} + 874363684 q^{90} + 2087197720 q^{91} + 1061427500 q^{92} + 576415420 q^{93} + 6899365112 q^{94} + 5031766876 q^{95} + 490811364 q^{96} - 3419996368 q^{97} - 5630536112 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{7}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −29.1798 29.1798i −1.28958 1.28958i −0.935044 0.354532i \(-0.884640\pi\)
−0.354532 0.935044i \(-0.615360\pi\)
\(3\) −162.034 + 67.1166i −1.15494 + 0.478392i −0.876188 0.481970i \(-0.839921\pi\)
−0.278754 + 0.960363i \(0.589921\pi\)
\(4\) 1190.92i 2.32601i
\(5\) −267.860 646.671i −0.191665 0.462720i 0.798609 0.601850i \(-0.205569\pi\)
−0.990274 + 0.139130i \(0.955569\pi\)
\(6\) 6686.56 + 2769.66i 2.10631 + 0.872461i
\(7\) −3386.34 + 8175.34i −0.533076 + 1.28696i 0.396401 + 0.918077i \(0.370259\pi\)
−0.929477 + 0.368881i \(0.879741\pi\)
\(8\) 19810.7 19810.7i 1.70999 1.70999i
\(9\) 7832.33 7832.33i 0.397924 0.397924i
\(10\) −11053.6 + 26685.8i −0.349546 + 0.843879i
\(11\) −83690.3 34665.6i −1.72349 0.713892i −0.999716 0.0238515i \(-0.992407\pi\)
−0.723771 0.690040i \(-0.757593\pi\)
\(12\) −79930.4 192969.i −1.11275 2.68641i
\(13\) 26249.8i 0.254907i 0.991845 + 0.127453i \(0.0406803\pi\)
−0.991845 + 0.127453i \(0.959320\pi\)
\(14\) 337367. 139742.i 2.34707 0.972189i
\(15\) 86804.7 + 86804.7i 0.442724 + 0.442724i
\(16\) −546392. −2.08432
\(17\) 209492. 273315.i 0.608342 0.793675i
\(18\) −457091. −1.02631
\(19\) 268213. + 268213.i 0.472160 + 0.472160i 0.902613 0.430453i \(-0.141646\pi\)
−0.430453 + 0.902613i \(0.641646\pi\)
\(20\) 770132. 318999.i 1.07629 0.445815i
\(21\) 1.55196e6i 1.74138i
\(22\) 1.43053e6 + 3.45360e6i 1.30195 + 3.14318i
\(23\) −184114. 76262.4i −0.137186 0.0568244i 0.313034 0.949742i \(-0.398655\pi\)
−0.450220 + 0.892917i \(0.648655\pi\)
\(24\) −1.88037e6 + 4.53962e6i −1.15689 + 2.79299i
\(25\) 1.03463e6 1.03463e6i 0.529732 0.529732i
\(26\) 765964. 765964.i 0.328722 0.328722i
\(27\) 577633. 1.39453e6i 0.209178 0.504999i
\(28\) −9.73616e6 4.03285e6i −2.99348 1.23994i
\(29\) 630380. + 1.52187e6i 0.165505 + 0.399565i 0.984773 0.173847i \(-0.0556197\pi\)
−0.819268 + 0.573411i \(0.805620\pi\)
\(30\) 5.06588e6i 1.14185i
\(31\) −5.69663e6 + 2.35962e6i −1.10787 + 0.458896i −0.860205 0.509949i \(-0.829664\pi\)
−0.247669 + 0.968845i \(0.579664\pi\)
\(32\) 5.80053e6 + 5.80053e6i 0.977896 + 0.977896i
\(33\) 1.58873e7 2.33205
\(34\) −1.40882e7 + 1.86232e6i −1.80801 + 0.239001i
\(35\) 6.19382e6 0.697673
\(36\) 9.32766e6 + 9.32766e6i 0.925575 + 0.925575i
\(37\) 1.85236e7 7.67272e6i 1.62486 0.673041i 0.630222 0.776415i \(-0.282964\pi\)
0.994643 + 0.103374i \(0.0329637\pi\)
\(38\) 1.56528e7i 1.21777i
\(39\) −1.76180e6 4.25336e6i −0.121945 0.294402i
\(40\) −1.81175e7 7.50451e6i −1.11899 0.463503i
\(41\) −9.72240e6 + 2.34720e7i −0.537336 + 1.29724i 0.389240 + 0.921137i \(0.372738\pi\)
−0.926576 + 0.376108i \(0.877262\pi\)
\(42\) −4.52858e7 + 4.52858e7i −2.24564 + 2.24564i
\(43\) −315278. + 315278.i −0.0140632 + 0.0140632i −0.714103 0.700040i \(-0.753165\pi\)
0.700040 + 0.714103i \(0.253165\pi\)
\(44\) 4.12840e7 9.96683e7i 1.66052 4.00885i
\(45\) −7.16291e6 2.96697e6i −0.260395 0.107859i
\(46\) 3.14708e6 + 7.59771e6i 0.103633 + 0.250192i
\(47\) 1.95869e7i 0.585498i −0.956189 0.292749i \(-0.905430\pi\)
0.956189 0.292749i \(-0.0945701\pi\)
\(48\) 8.85340e7 3.66720e7i 2.40727 0.997123i
\(49\) −2.68346e7 2.68346e7i −0.664986 0.664986i
\(50\) −6.03807e7 −1.36626
\(51\) −1.56009e7 + 5.83466e7i −0.322911 + 1.20767i
\(52\) −3.12614e7 −0.592916
\(53\) 4.24020e7 + 4.24020e7i 0.738150 + 0.738150i 0.972220 0.234070i \(-0.0752044\pi\)
−0.234070 + 0.972220i \(0.575204\pi\)
\(54\) −5.75473e7 + 2.38369e7i −0.920985 + 0.381485i
\(55\) 6.34056e7i 0.934320i
\(56\) 9.48734e7 + 2.29045e8i 1.28913 + 3.11225i
\(57\) −6.14612e7 2.54581e7i −0.771195 0.319439i
\(58\) 2.60135e7 6.28023e7i 0.301838 0.728701i
\(59\) 7.36506e6 7.36506e6i 0.0791302 0.0791302i −0.666434 0.745564i \(-0.732180\pi\)
0.745564 + 0.666434i \(0.232180\pi\)
\(60\) −1.03377e8 + 1.03377e8i −1.02978 + 1.02978i
\(61\) 5.62858e7 1.35886e8i 0.520493 1.25658i −0.417105 0.908858i \(-0.636955\pi\)
0.937598 0.347722i \(-0.113045\pi\)
\(62\) 2.35079e8 + 9.73731e7i 2.02047 + 0.836905i
\(63\) 3.75090e7 + 9.05548e7i 0.299988 + 0.724234i
\(64\) 5.87635e7i 0.437822i
\(65\) 1.69750e7 7.03127e6i 0.117950 0.0488567i
\(66\) −4.63588e8 4.63588e8i −3.00735 3.00735i
\(67\) 1.11288e8 0.674703 0.337352 0.941379i \(-0.390469\pi\)
0.337352 + 0.941379i \(0.390469\pi\)
\(68\) 3.25495e8 + 2.49488e8i 1.84610 + 1.41501i
\(69\) 3.49511e7 0.185627
\(70\) −1.80734e8 1.80734e8i −0.899703 0.899703i
\(71\) 8.95946e7 3.71113e7i 0.418426 0.173318i −0.163529 0.986539i \(-0.552288\pi\)
0.581956 + 0.813221i \(0.302288\pi\)
\(72\) 3.10328e8i 1.36089i
\(73\) −2.39570e6 5.78373e6i −0.00987369 0.0238372i 0.918866 0.394570i \(-0.129107\pi\)
−0.928739 + 0.370733i \(0.879107\pi\)
\(74\) −7.64402e8 3.16626e8i −2.96332 1.22745i
\(75\) −9.82045e7 + 2.37087e8i −0.358390 + 0.865230i
\(76\) −3.19420e8 + 3.19420e8i −1.09825 + 1.09825i
\(77\) 5.66807e8 5.66807e8i 1.83750 1.83750i
\(78\) −7.27031e7 + 1.75521e8i −0.222396 + 0.536912i
\(79\) −3.10052e8 1.28428e8i −0.895598 0.370969i −0.113072 0.993587i \(-0.536069\pi\)
−0.782526 + 0.622618i \(0.786069\pi\)
\(80\) 1.46357e8 + 3.53336e8i 0.399491 + 0.964457i
\(81\) 4.82750e8i 1.24606i
\(82\) 9.68604e8 4.01209e8i 2.36583 0.979959i
\(83\) 3.37673e8 + 3.37673e8i 0.780990 + 0.780990i 0.979998 0.199008i \(-0.0637719\pi\)
−0.199008 + 0.979998i \(0.563772\pi\)
\(84\) 1.84826e9 4.05047
\(85\) −2.32859e8 6.22625e7i −0.483847 0.129372i
\(86\) 1.83995e7 0.0362712
\(87\) −2.04286e8 2.04286e8i −0.382298 0.382298i
\(88\) −2.34471e9 + 9.71211e8i −4.16790 + 1.72640i
\(89\) 1.92204e8i 0.324719i −0.986732 0.162359i \(-0.948090\pi\)
0.986732 0.162359i \(-0.0519104\pi\)
\(90\) 1.22436e8 + 2.95588e8i 0.196707 + 0.474892i
\(91\) −2.14601e8 8.88907e7i −0.328054 0.135885i
\(92\) 9.08222e7 2.19264e8i 0.132174 0.319097i
\(93\) 7.64676e8 7.64676e8i 1.06000 1.06000i
\(94\) −5.71542e8 + 5.71542e8i −0.755044 + 0.755044i
\(95\) 1.01602e8 2.45289e8i 0.127981 0.308974i
\(96\) −1.32919e9 5.50570e8i −1.59723 0.661595i
\(97\) −8.11961e7 1.96025e8i −0.0931242 0.224822i 0.870453 0.492251i \(-0.163826\pi\)
−0.963577 + 0.267429i \(0.913826\pi\)
\(98\) 1.56605e9i 1.71510i
\(99\) −9.27003e8 + 3.83977e8i −0.969890 + 0.401742i
\(100\) 1.23216e9 + 1.23216e9i 1.23216 + 1.23216i
\(101\) −1.38707e9 −1.32633 −0.663164 0.748474i \(-0.730787\pi\)
−0.663164 + 0.748474i \(0.730787\pi\)
\(102\) 2.15777e9 1.24731e9i 1.97381 1.14097i
\(103\) 7.73415e6 0.00677088 0.00338544 0.999994i \(-0.498922\pi\)
0.00338544 + 0.999994i \(0.498922\pi\)
\(104\) 5.20027e8 + 5.20027e8i 0.435889 + 0.435889i
\(105\) −1.00361e9 + 4.15708e8i −0.805772 + 0.333762i
\(106\) 2.47456e9i 1.90380i
\(107\) 2.17093e8 + 5.24109e8i 0.160110 + 0.386540i 0.983493 0.180946i \(-0.0579160\pi\)
−0.823383 + 0.567486i \(0.807916\pi\)
\(108\) 1.66077e9 + 6.87914e8i 1.17463 + 0.486550i
\(109\) 2.33376e8 5.63420e8i 0.158357 0.382308i −0.824710 0.565557i \(-0.808661\pi\)
0.983067 + 0.183249i \(0.0586614\pi\)
\(110\) 1.85016e9 1.85016e9i 1.20488 1.20488i
\(111\) −2.48648e9 + 2.48648e9i −1.55465 + 1.55465i
\(112\) 1.85027e9 4.46694e9i 1.11110 2.68243i
\(113\) −2.80128e9 1.16033e9i −1.61623 0.669465i −0.622642 0.782507i \(-0.713941\pi\)
−0.993590 + 0.113042i \(0.963941\pi\)
\(114\) 1.05056e9 + 2.53628e9i 0.582573 + 1.40646i
\(115\) 1.39489e8i 0.0743701i
\(116\) −1.81243e9 + 7.50731e8i −0.929393 + 0.384967i
\(117\) 2.05597e8 + 2.05597e8i 0.101433 + 0.101433i
\(118\) −4.29822e8 −0.204089
\(119\) 1.52503e9 + 2.63820e9i 0.697134 + 1.20600i
\(120\) 3.43932e9 1.51411
\(121\) 4.13503e9 + 4.13503e9i 1.75366 + 1.75366i
\(122\) −5.60753e9 + 2.32271e9i −2.29167 + 0.949241i
\(123\) 4.45578e9i 1.75530i
\(124\) −2.81011e9 6.78422e9i −1.06740 2.57693i
\(125\) −2.20923e9 9.15095e8i −0.809369 0.335252i
\(126\) 1.54786e9 3.73687e9i 0.547098 1.32081i
\(127\) 2.10322e9 2.10322e9i 0.717410 0.717410i −0.250664 0.968074i \(-0.580649\pi\)
0.968074 + 0.250664i \(0.0806489\pi\)
\(128\) 1.25517e9 1.25517e9i 0.413291 0.413291i
\(129\) 2.99253e7 7.22460e7i 0.00951446 0.0229699i
\(130\) −7.00498e8 2.90156e8i −0.215110 0.0891017i
\(131\) −7.53442e8 1.81897e9i −0.223526 0.539640i 0.771838 0.635820i \(-0.219338\pi\)
−0.995364 + 0.0961793i \(0.969338\pi\)
\(132\) 1.89205e10i 5.42437i
\(133\) −3.10099e9 + 1.28447e9i −0.859347 + 0.355953i
\(134\) −3.24737e9 3.24737e9i −0.870081 0.870081i
\(135\) −1.05653e9 −0.273765
\(136\) −1.26436e9 9.56473e9i −0.316918 2.39744i
\(137\) 3.63646e9 0.881935 0.440968 0.897523i \(-0.354635\pi\)
0.440968 + 0.897523i \(0.354635\pi\)
\(138\) −1.01987e9 1.01987e9i −0.239379 0.239379i
\(139\) 2.75402e9 1.14075e9i 0.625750 0.259194i −0.0471961 0.998886i \(-0.515029\pi\)
0.672946 + 0.739692i \(0.265029\pi\)
\(140\) 7.37633e9i 1.62280i
\(141\) 1.31461e9 + 3.17374e9i 0.280098 + 0.676216i
\(142\) −3.69725e9 1.53145e9i −0.763099 0.316086i
\(143\) 9.09967e8 2.19685e9i 0.181976 0.439328i
\(144\) −4.27952e9 + 4.27952e9i −0.829400 + 0.829400i
\(145\) 8.15297e8 8.15297e8i 0.153165 0.153165i
\(146\) −9.88620e7 + 2.38674e8i −0.0180070 + 0.0434727i
\(147\) 6.14915e9 + 2.54706e9i 1.08614 + 0.449895i
\(148\) 9.13758e9 + 2.20601e10i 1.56550 + 3.77946i
\(149\) 3.23876e9i 0.538319i −0.963096 0.269160i \(-0.913254\pi\)
0.963096 0.269160i \(-0.0867459\pi\)
\(150\) 9.78372e9 4.05255e9i 1.57795 0.653608i
\(151\) 8.30617e8 + 8.30617e8i 0.130018 + 0.130018i 0.769121 0.639103i \(-0.220694\pi\)
−0.639103 + 0.769121i \(0.720694\pi\)
\(152\) 1.06270e10 1.61478
\(153\) −4.99878e8 3.78150e9i −0.0737484 0.557896i
\(154\) −3.30786e10 −4.73919
\(155\) 3.05180e9 + 3.05180e9i 0.424681 + 0.424681i
\(156\) 5.06540e9 2.09816e9i 0.684783 0.283647i
\(157\) 3.41677e9i 0.448815i −0.974495 0.224407i \(-0.927955\pi\)
0.974495 0.224407i \(-0.0720446\pi\)
\(158\) 5.29976e9 + 1.27947e10i 0.676549 + 1.63333i
\(159\) −9.71643e9 4.02468e9i −1.20565 0.499395i
\(160\) 2.19730e9 5.30476e9i 0.265064 0.639921i
\(161\) 1.24694e9 1.24694e9i 0.146261 0.146261i
\(162\) 1.40865e10 1.40865e10i 1.60689 1.60689i
\(163\) −3.83841e9 + 9.26675e9i −0.425900 + 1.02821i 0.554675 + 0.832067i \(0.312843\pi\)
−0.980575 + 0.196146i \(0.937157\pi\)
\(164\) −2.79532e10 1.15786e10i −3.01741 1.24985i
\(165\) −4.25557e9 1.02739e10i −0.446972 1.07908i
\(166\) 1.97065e10i 2.01429i
\(167\) 6.23193e9 2.58135e9i 0.620010 0.256816i −0.0504920 0.998724i \(-0.516079\pi\)
0.670502 + 0.741908i \(0.266079\pi\)
\(168\) −3.07454e10 3.07454e10i −2.97775 2.97775i
\(169\) 9.91545e9 0.935023
\(170\) 4.97797e9 + 8.61159e9i 0.457122 + 0.790793i
\(171\) 4.20147e9 0.375767
\(172\) −3.75470e8 3.75470e8i −0.0327112 0.0327112i
\(173\) 6.31902e9 2.61742e9i 0.536343 0.222160i −0.0980360 0.995183i \(-0.531256\pi\)
0.634379 + 0.773022i \(0.281256\pi\)
\(174\) 1.19220e10i 0.986004i
\(175\) 4.95486e9 + 1.19621e10i 0.399356 + 0.964131i
\(176\) 4.57277e10 + 1.89410e10i 3.59230 + 1.48798i
\(177\) −6.99071e8 + 1.68771e9i −0.0535355 + 0.129246i
\(178\) −5.60847e9 + 5.60847e9i −0.418750 + 0.418750i
\(179\) 5.85080e9 5.85080e9i 0.425968 0.425968i −0.461284 0.887252i \(-0.652611\pi\)
0.887252 + 0.461284i \(0.152611\pi\)
\(180\) 3.53342e9 8.53044e9i 0.250882 0.605682i
\(181\) 6.34005e9 + 2.62613e9i 0.439075 + 0.181871i 0.591260 0.806481i \(-0.298631\pi\)
−0.152184 + 0.988352i \(0.548631\pi\)
\(182\) 3.66820e9 + 8.85582e9i 0.247818 + 0.598284i
\(183\) 2.57958e10i 1.70028i
\(184\) −5.15823e9 + 2.13661e9i −0.331757 + 0.137418i
\(185\) −9.92345e9 9.92345e9i −0.622859 0.622859i
\(186\) −4.46262e10 −2.73389
\(187\) −2.70071e10 + 1.56116e10i −1.61507 + 0.933598i
\(188\) 2.33264e10 1.36188
\(189\) 9.44469e9 + 9.44469e9i 0.538406 + 0.538406i
\(190\) −1.01222e10 + 4.19276e9i −0.563488 + 0.233404i
\(191\) 3.87326e9i 0.210585i 0.994441 + 0.105292i \(0.0335778\pi\)
−0.994441 + 0.105292i \(0.966422\pi\)
\(192\) 3.94400e9 + 9.52166e9i 0.209451 + 0.505659i
\(193\) −2.03644e10 8.43520e9i −1.05648 0.437610i −0.214282 0.976772i \(-0.568741\pi\)
−0.842202 + 0.539162i \(0.818741\pi\)
\(194\) −3.35067e9 + 8.08924e9i −0.169834 + 0.410015i
\(195\) −2.27861e9 + 2.27861e9i −0.112853 + 0.112853i
\(196\) 3.19578e10 3.19578e10i 1.54676 1.54676i
\(197\) 7.22454e9 1.74416e10i 0.341753 0.825064i −0.655786 0.754947i \(-0.727663\pi\)
0.997539 0.0701172i \(-0.0223373\pi\)
\(198\) 3.82541e10 + 1.58454e10i 1.76882 + 0.732671i
\(199\) 6.61795e9 + 1.59771e10i 0.299147 + 0.722205i 0.999961 + 0.00886045i \(0.00282040\pi\)
−0.700814 + 0.713344i \(0.747180\pi\)
\(200\) 4.09936e10i 1.81168i
\(201\) −1.80325e10 + 7.46929e9i −0.779243 + 0.322773i
\(202\) 4.04742e10 + 4.04742e10i 1.71040 + 1.71040i
\(203\) −1.45765e10 −0.602450
\(204\) −6.94860e10 1.85794e10i −2.80907 0.751096i
\(205\) 1.77829e10 0.703250
\(206\) −2.25681e8 2.25681e8i −0.00873157 0.00873157i
\(207\) −2.03935e9 + 8.44727e8i −0.0772014 + 0.0319779i
\(208\) 1.43427e10i 0.531307i
\(209\) −1.31491e10 3.17446e10i −0.476690 1.15083i
\(210\) 4.14153e10 + 1.71548e10i 1.46952 + 0.608693i
\(211\) 1.61632e9 3.90213e9i 0.0561378 0.135529i −0.893322 0.449417i \(-0.851632\pi\)
0.949460 + 0.313888i \(0.101632\pi\)
\(212\) −5.04973e10 + 5.04973e10i −1.71695 + 1.71695i
\(213\) −1.20266e10 + 1.20266e10i −0.400344 + 0.400344i
\(214\) 8.95865e9 2.16281e10i 0.291998 0.704947i
\(215\) 2.88331e8 + 1.19431e8i 0.00920277 + 0.00381191i
\(216\) −1.61833e10 3.90699e10i −0.505853 1.22124i
\(217\) 5.45623e10i 1.67041i
\(218\) −2.32503e10 + 9.63060e9i −0.697228 + 0.288801i
\(219\) 7.76369e8 + 7.76369e8i 0.0228071 + 0.0228071i
\(220\) −7.55109e10 −2.17324
\(221\) 7.17446e9 + 5.49913e9i 0.202313 + 0.155070i
\(222\) 1.45110e11 4.00967
\(223\) −2.35431e10 2.35431e10i −0.637516 0.637516i 0.312426 0.949942i \(-0.398858\pi\)
−0.949942 + 0.312426i \(0.898858\pi\)
\(224\) −6.70638e10 + 2.77787e10i −1.77980 + 0.737219i
\(225\) 1.62072e10i 0.421586i
\(226\) 4.78826e10 + 1.15599e11i 1.22093 + 2.94758i
\(227\) 5.19088e10 + 2.15013e10i 1.29755 + 0.537463i 0.921227 0.389025i \(-0.127188\pi\)
0.376324 + 0.926488i \(0.377188\pi\)
\(228\) 3.03185e10 7.31952e10i 0.743020 1.79381i
\(229\) 3.60916e10 3.60916e10i 0.867254 0.867254i −0.124914 0.992168i \(-0.539865\pi\)
0.992168 + 0.124914i \(0.0398655\pi\)
\(230\) 4.07025e9 4.07025e9i 0.0959059 0.0959059i
\(231\) −5.37997e10 + 1.29884e11i −1.24316 + 3.00125i
\(232\) 4.26376e10 + 1.76611e10i 0.966266 + 0.400241i
\(233\) −1.96396e10 4.74142e10i −0.436547 1.05392i −0.977133 0.212629i \(-0.931797\pi\)
0.540586 0.841289i \(-0.318203\pi\)
\(234\) 1.19986e10i 0.261612i
\(235\) −1.26663e10 + 5.24655e9i −0.270922 + 0.112219i
\(236\) 8.77119e9 + 8.77119e9i 0.184058 + 0.184058i
\(237\) 5.88586e10 1.21183
\(238\) 3.24822e10 1.21482e11i 0.656220 2.45424i
\(239\) −7.40848e9 −0.146872 −0.0734360 0.997300i \(-0.523396\pi\)
−0.0734360 + 0.997300i \(0.523396\pi\)
\(240\) −4.74294e10 4.74294e10i −0.922778 0.922778i
\(241\) −8.52935e9 + 3.53297e9i −0.162869 + 0.0674627i −0.462629 0.886552i \(-0.653094\pi\)
0.299759 + 0.954015i \(0.403094\pi\)
\(242\) 2.41319e11i 4.52295i
\(243\) −2.10310e10 5.07733e10i −0.386929 0.934130i
\(244\) 1.61829e11 + 6.70318e10i 2.92282 + 1.21067i
\(245\) −1.01652e10 + 2.45410e10i −0.180248 + 0.435157i
\(246\) −1.30019e11 + 1.30019e11i −2.26359 + 2.26359i
\(247\) −7.04055e9 + 7.04055e9i −0.120357 + 0.120357i
\(248\) −6.61084e10 + 1.59600e11i −1.10975 + 2.67917i
\(249\) −7.73780e10 3.20510e10i −1.27562 0.528378i
\(250\) 3.77627e10 + 9.11672e10i 0.611410 + 1.47608i
\(251\) 6.79026e10i 1.07983i −0.841720 0.539914i \(-0.818457\pi\)
0.841720 0.539914i \(-0.181543\pi\)
\(252\) −1.07843e11 + 4.46702e10i −1.68458 + 0.697775i
\(253\) 1.27648e10 + 1.27648e10i 0.195872 + 0.195872i
\(254\) −1.22743e11 −1.85031
\(255\) 4.19099e10 5.54008e9i 0.620706 0.0820513i
\(256\) −1.03338e11 −1.50376
\(257\) −3.33580e10 3.33580e10i −0.476981 0.476981i 0.427184 0.904165i \(-0.359506\pi\)
−0.904165 + 0.427184i \(0.859506\pi\)
\(258\) −2.98133e9 + 1.23491e9i −0.0418911 + 0.0173519i
\(259\) 1.77419e11i 2.44992i
\(260\) 8.37367e9 + 2.02158e10i 0.113641 + 0.274354i
\(261\) 1.68572e10 + 6.98246e9i 0.224855 + 0.0931379i
\(262\) −3.10918e10 + 7.50624e10i −0.407653 + 0.984161i
\(263\) 7.23026e10 7.23026e10i 0.931866 0.931866i −0.0659567 0.997822i \(-0.521010\pi\)
0.997822 + 0.0659567i \(0.0210099\pi\)
\(264\) 3.14738e11 3.14738e11i 3.98778 3.98778i
\(265\) 1.60623e10 3.87779e10i 0.200079 0.483034i
\(266\) 1.27967e11 + 5.30057e10i 1.56722 + 0.649165i
\(267\) 1.29001e10 + 3.11435e10i 0.155343 + 0.375031i
\(268\) 1.32535e11i 1.56937i
\(269\) 1.19645e11 4.95588e10i 1.39319 0.577079i 0.445216 0.895423i \(-0.353127\pi\)
0.947975 + 0.318344i \(0.103127\pi\)
\(270\) 3.08292e10 + 3.08292e10i 0.353041 + 0.353041i
\(271\) 1.37457e9 0.0154813 0.00774064 0.999970i \(-0.497536\pi\)
0.00774064 + 0.999970i \(0.497536\pi\)
\(272\) −1.14465e11 + 1.49337e11i −1.26798 + 1.65427i
\(273\) 4.07387e10 0.443890
\(274\) −1.06111e11 1.06111e11i −1.13732 1.13732i
\(275\) −1.22455e11 + 5.07225e10i −1.29116 + 0.534815i
\(276\) 4.16239e10i 0.431770i
\(277\) 4.18701e10 + 1.01083e11i 0.427312 + 1.03162i 0.980136 + 0.198324i \(0.0635499\pi\)
−0.552825 + 0.833298i \(0.686450\pi\)
\(278\) −1.13649e11 4.70748e10i −1.14120 0.472702i
\(279\) −2.61365e10 + 6.30992e10i −0.258243 + 0.623455i
\(280\) 1.22704e11 1.22704e11i 1.19302 1.19302i
\(281\) −4.08873e10 + 4.08873e10i −0.391210 + 0.391210i −0.875118 0.483909i \(-0.839217\pi\)
0.483909 + 0.875118i \(0.339217\pi\)
\(282\) 5.42491e10 1.30969e11i 0.510825 1.23324i
\(283\) 7.09672e10 + 2.93956e10i 0.657686 + 0.272422i 0.686464 0.727163i \(-0.259162\pi\)
−0.0287786 + 0.999586i \(0.509162\pi\)
\(284\) 4.41965e10 + 1.06700e11i 0.403140 + 0.973265i
\(285\) 4.65644e10i 0.418073i
\(286\) −9.06563e10 + 3.75511e10i −0.801219 + 0.331876i
\(287\) −1.58968e11 1.58968e11i −1.38306 1.38306i
\(288\) 9.08633e10 0.778256
\(289\) −3.08139e10 1.14515e11i −0.259840 0.965652i
\(290\) −4.75804e10 −0.395036
\(291\) 2.63130e10 + 2.63130e10i 0.215106 + 0.215106i
\(292\) 6.88795e9 2.85308e9i 0.0554456 0.0229663i
\(293\) 1.53859e11i 1.21960i 0.792554 + 0.609802i \(0.208751\pi\)
−0.792554 + 0.609802i \(0.791249\pi\)
\(294\) −1.05108e11 2.53754e11i −0.820490 1.98084i
\(295\) −6.73558e9 2.78997e9i −0.0517816 0.0214487i
\(296\) 2.14963e11 5.18967e11i 1.62761 3.92940i
\(297\) −9.66846e10 + 9.66846e10i −0.721030 + 0.721030i
\(298\) −9.45061e10 + 9.45061e10i −0.694204 + 0.694204i
\(299\) 2.00187e9 4.83295e9i 0.0144849 0.0349697i
\(300\) −2.82351e11 1.16954e11i −2.01253 0.833619i
\(301\) −1.50987e9 3.64514e9i −0.0106020 0.0255956i
\(302\) 4.84744e10i 0.335337i
\(303\) 2.24751e11 9.30951e10i 1.53183 0.634505i
\(304\) −1.46550e11 1.46550e11i −0.984132 0.984132i
\(305\) −1.02950e11 −0.681205
\(306\) −9.57571e10 + 1.24930e11i −0.624345 + 0.814553i
\(307\) 7.97146e10 0.512171 0.256086 0.966654i \(-0.417567\pi\)
0.256086 + 0.966654i \(0.417567\pi\)
\(308\) 6.75021e11 + 6.75021e11i 4.27404 + 4.27404i
\(309\) −1.25319e9 + 5.19090e8i −0.00781997 + 0.00323914i
\(310\) 1.78101e11i 1.09532i
\(311\) 9.70280e9 + 2.34246e10i 0.0588133 + 0.141988i 0.950554 0.310558i \(-0.100516\pi\)
−0.891741 + 0.452546i \(0.850516\pi\)
\(312\) −1.19164e11 4.93595e10i −0.711952 0.294900i
\(313\) −4.63164e9 + 1.11818e10i −0.0272763 + 0.0658508i −0.936931 0.349515i \(-0.886346\pi\)
0.909655 + 0.415366i \(0.136346\pi\)
\(314\) −9.97006e10 + 9.97006e10i −0.578781 + 0.578781i
\(315\) 4.85120e10 4.85120e10i 0.277621 0.277621i
\(316\) 1.52947e11 3.69247e11i 0.862878 2.08317i
\(317\) −2.09005e11 8.65725e10i −1.16249 0.481519i −0.283787 0.958887i \(-0.591591\pi\)
−0.878703 + 0.477368i \(0.841591\pi\)
\(318\) 1.66084e11 + 4.00962e11i 0.910764 + 2.19878i
\(319\) 1.49219e11i 0.806798i
\(320\) −3.80006e10 + 1.57404e10i −0.202589 + 0.0839151i
\(321\) −7.03528e10 7.03528e10i −0.369836 0.369836i
\(322\) −7.27709e10 −0.377230
\(323\) 1.29495e11 1.71180e10i 0.661976 0.0875068i
\(324\) −5.74916e11 −2.89836
\(325\) 2.71589e10 + 2.71589e10i 0.135032 + 0.135032i
\(326\) 3.82406e11 1.58398e11i 1.87519 0.776729i
\(327\) 1.06956e11i 0.517300i
\(328\) 2.72388e11 + 6.57603e11i 1.29944 + 3.13712i
\(329\) 1.60130e11 + 6.63279e10i 0.753512 + 0.312115i
\(330\) −1.75612e11 + 4.23965e11i −0.815158 + 1.96797i
\(331\) 5.06672e10 5.06672e10i 0.232007 0.232007i −0.581523 0.813530i \(-0.697543\pi\)
0.813530 + 0.581523i \(0.197543\pi\)
\(332\) −4.02142e11 + 4.02142e11i −1.81659 + 1.81659i
\(333\) 8.49875e10 2.05178e11i 0.378753 0.914391i
\(334\) −2.57170e11 1.06523e11i −1.13073 0.468365i
\(335\) −2.98097e10 7.19669e10i −0.129317 0.312199i
\(336\) 8.47979e11i 3.62960i
\(337\) 9.53411e10 3.94916e10i 0.402667 0.166790i −0.172153 0.985070i \(-0.555072\pi\)
0.574819 + 0.818280i \(0.305072\pi\)
\(338\) −2.89330e11 2.89330e11i −1.20578 1.20578i
\(339\) 5.31780e11 2.18692
\(340\) 7.41496e10 2.77316e11i 0.300922 1.12543i
\(341\) 5.58550e11 2.23701
\(342\) −1.22598e11 1.22598e11i −0.484580 0.484580i
\(343\) −1.96518e10 + 8.14005e9i −0.0766618 + 0.0317544i
\(344\) 1.24917e10i 0.0480961i
\(345\) −9.36200e9 2.26019e10i −0.0355781 0.0858931i
\(346\) −2.60763e11 1.08012e11i −0.978147 0.405162i
\(347\) −5.52211e9 + 1.33316e10i −0.0204467 + 0.0493627i −0.933773 0.357866i \(-0.883505\pi\)
0.913326 + 0.407228i \(0.133505\pi\)
\(348\) 2.43288e11 2.43288e11i 0.889229 0.889229i
\(349\) −3.70934e11 + 3.70934e11i −1.33839 + 1.33839i −0.440767 + 0.897622i \(0.645293\pi\)
−0.897622 + 0.440767i \(0.854707\pi\)
\(350\) 2.04469e11 4.93633e11i 0.728320 1.75832i
\(351\) 3.66062e10 + 1.51628e10i 0.128728 + 0.0533208i
\(352\) −2.84369e11 6.86527e11i −0.987279 2.38350i
\(353\) 3.33276e11i 1.14240i 0.820811 + 0.571200i \(0.193522\pi\)
−0.820811 + 0.571200i \(0.806478\pi\)
\(354\) 6.96456e10 2.88482e10i 0.235711 0.0976345i
\(355\) −4.79976e10 4.79976e10i −0.160395 0.160395i
\(356\) 2.28899e11 0.755300
\(357\) −4.24173e11 3.25124e11i −1.38209 1.05936i
\(358\) −3.41450e11 −1.09864
\(359\) −1.10424e11 1.10424e11i −0.350863 0.350863i 0.509568 0.860431i \(-0.329805\pi\)
−0.860431 + 0.509568i \(0.829805\pi\)
\(360\) −2.00680e11 + 8.31243e10i −0.629713 + 0.260836i
\(361\) 1.78811e11i 0.554130i
\(362\) −1.08371e11 2.61631e11i −0.331685 0.800758i
\(363\) −9.47545e11 3.92486e11i −2.86431 1.18644i
\(364\) 1.05862e11 2.55572e11i 0.316069 0.763058i
\(365\) −3.09846e9 + 3.09846e9i −0.00913751 + 0.00913751i
\(366\) 7.52716e11 7.52716e11i 2.19264 2.19264i
\(367\) −1.92049e11 + 4.63646e11i −0.552604 + 1.33410i 0.362912 + 0.931823i \(0.381782\pi\)
−0.915516 + 0.402281i \(0.868218\pi\)
\(368\) 1.00598e11 + 4.16692e10i 0.285940 + 0.118440i
\(369\) 1.07691e11 + 2.59989e11i 0.302385 + 0.730023i
\(370\) 5.79128e11i 1.60645i
\(371\) −4.90238e11 + 2.03063e11i −1.34346 + 0.556479i
\(372\) 9.10667e11 + 9.10667e11i 2.46556 + 2.46556i
\(373\) 4.29931e11 1.15003 0.575015 0.818143i \(-0.304996\pi\)
0.575015 + 0.818143i \(0.304996\pi\)
\(374\) 1.24360e12 + 3.32518e11i 3.28670 + 0.878806i
\(375\) 4.19389e11 1.09516
\(376\) −3.88030e11 3.88030e11i −1.00120 1.00120i
\(377\) −3.99489e10 + 1.65474e10i −0.101852 + 0.0421884i
\(378\) 5.51188e11i 1.38863i
\(379\) −1.99090e11 4.80646e11i −0.495648 1.19660i −0.951806 0.306701i \(-0.900775\pi\)
0.456158 0.889899i \(-0.349225\pi\)
\(380\) 2.92120e11 + 1.21000e11i 0.718678 + 0.297686i
\(381\) −1.99632e11 + 4.81953e11i −0.485363 + 1.17177i
\(382\) 1.13021e11 1.13021e11i 0.271565 0.271565i
\(383\) 4.23418e10 4.23418e10i 0.100548 0.100548i −0.655043 0.755592i \(-0.727350\pi\)
0.755592 + 0.655043i \(0.227350\pi\)
\(384\) −1.19137e11 + 2.87622e11i −0.279612 + 0.675043i
\(385\) −5.18362e11 2.14713e11i −1.20243 0.498063i
\(386\) 3.48090e11 + 8.40365e11i 0.798085 + 1.92675i
\(387\) 4.93872e9i 0.0111922i
\(388\) 2.33449e11 9.66979e10i 0.522938 0.216608i
\(389\) −3.93093e10 3.93093e10i −0.0870405 0.0870405i 0.662246 0.749287i \(-0.269603\pi\)
−0.749287 + 0.662246i \(0.769603\pi\)
\(390\) 1.32979e11 0.291066
\(391\) −5.94140e10 + 3.43446e10i −0.128556 + 0.0743127i
\(392\) −1.06322e12 −2.27424
\(393\) 2.44166e11 + 2.44166e11i 0.516320 + 0.516320i
\(394\) −7.19751e11 + 2.98131e11i −1.50470 + 0.623267i
\(395\) 2.34902e11i 0.485513i
\(396\) −4.57285e11 1.10398e12i −0.934456 2.25598i
\(397\) 1.98864e11 + 8.23722e10i 0.401790 + 0.166427i 0.574422 0.818560i \(-0.305227\pi\)
−0.172632 + 0.984986i \(0.555227\pi\)
\(398\) 2.73099e11 6.59320e11i 0.545565 1.31711i
\(399\) 4.16256e11 4.16256e11i 0.822210 0.822210i
\(400\) −5.65315e11 + 5.65315e11i −1.10413 + 1.10413i
\(401\) −1.09446e11 + 2.64225e11i −0.211373 + 0.510299i −0.993635 0.112651i \(-0.964066\pi\)
0.782262 + 0.622950i \(0.214066\pi\)
\(402\) 7.44135e11 + 3.08231e11i 1.42113 + 0.588652i
\(403\) −6.19396e10 1.49535e11i −0.116976 0.282404i
\(404\) 1.65188e12i 3.08505i
\(405\) 3.12181e11 1.29309e11i 0.576578 0.238827i
\(406\) 4.25339e11 + 4.25339e11i 0.776905 + 0.776905i
\(407\) −1.81622e12 −3.28091
\(408\) 8.46822e11 + 1.46495e12i 1.51294 + 2.61729i
\(409\) 2.43866e11 0.430919 0.215460 0.976513i \(-0.430875\pi\)
0.215460 + 0.976513i \(0.430875\pi\)
\(410\) −5.18900e11 5.18900e11i −0.906894 0.906894i
\(411\) −5.89230e11 + 2.44067e11i −1.01858 + 0.421911i
\(412\) 9.21074e9i 0.0157492i
\(413\) 3.52713e10 + 8.51524e10i 0.0596549 + 0.144020i
\(414\) 8.41567e10 + 3.48589e10i 0.140795 + 0.0583192i
\(415\) 1.27914e11 3.08813e11i 0.211691 0.511068i
\(416\) −1.52263e11 + 1.52263e11i −0.249272 + 0.249272i
\(417\) −3.69681e11 + 3.69681e11i −0.598708 + 0.598708i
\(418\) −5.42615e11 + 1.30999e12i −0.869357 + 2.09881i
\(419\) 9.55306e11 + 3.95701e11i 1.51419 + 0.627197i 0.976417 0.215894i \(-0.0692666\pi\)
0.537771 + 0.843091i \(0.319267\pi\)
\(420\) −4.95074e11 1.19521e12i −0.776334 1.87424i
\(421\) 1.12377e12i 1.74344i −0.490004 0.871720i \(-0.663005\pi\)
0.490004 0.871720i \(-0.336995\pi\)
\(422\) −1.61027e11 + 6.66996e10i −0.247168 + 0.102381i
\(423\) −1.53411e11 1.53411e11i −0.232984 0.232984i
\(424\) 1.68002e12 2.52446
\(425\) −6.60328e10 4.99528e11i −0.0981769 0.742694i
\(426\) 7.01865e11 1.03255
\(427\) 9.20311e11 + 9.20311e11i 1.33970 + 1.33970i
\(428\) −6.24171e11 + 2.58540e11i −0.899097 + 0.372418i
\(429\) 4.17039e11i 0.594454i
\(430\) −4.92848e9 1.18984e10i −0.00695192 0.0167834i
\(431\) −2.57940e11 1.06842e11i −0.360056 0.149140i 0.195320 0.980740i \(-0.437426\pi\)
−0.555376 + 0.831600i \(0.687426\pi\)
\(432\) −3.15614e11 + 7.61960e11i −0.435993 + 1.05258i
\(433\) 4.18894e11 4.18894e11i 0.572676 0.572676i −0.360199 0.932875i \(-0.617291\pi\)
0.932875 + 0.360199i \(0.117291\pi\)
\(434\) −1.59212e12 + 1.59212e12i −2.15413 + 2.15413i
\(435\) −7.73857e10 + 1.86826e11i −0.103624 + 0.250170i
\(436\) 6.70987e11 + 2.77932e11i 0.889252 + 0.368340i
\(437\) −2.89271e10 6.98363e10i −0.0379437 0.0916041i
\(438\) 4.53085e10i 0.0588229i
\(439\) 1.10516e12 4.57772e11i 1.42015 0.588245i 0.465252 0.885178i \(-0.345964\pi\)
0.954898 + 0.296933i \(0.0959638\pi\)
\(440\) 1.25611e12 + 1.25611e12i 1.59768 + 1.59768i
\(441\) −4.20354e11 −0.529227
\(442\) −4.88856e10 3.69813e11i −0.0609230 0.460873i
\(443\) 6.14827e11 0.758466 0.379233 0.925301i \(-0.376188\pi\)
0.379233 + 0.925301i \(0.376188\pi\)
\(444\) −2.96119e12 2.96119e12i −3.61613 3.61613i
\(445\) −1.24293e11 + 5.14838e10i −0.150254 + 0.0622372i
\(446\) 1.37396e12i 1.64425i
\(447\) 2.17374e11 + 5.24788e11i 0.257528 + 0.621727i
\(448\) 4.80411e11 + 1.98993e11i 0.563459 + 0.233392i
\(449\) −6.01913e11 + 1.45315e12i −0.698916 + 1.68733i 0.0270801 + 0.999633i \(0.491379\pi\)
−0.725996 + 0.687699i \(0.758621\pi\)
\(450\) −4.72922e11 + 4.72922e11i −0.543667 + 0.543667i
\(451\) 1.62734e12 1.62734e12i 1.85218 1.85218i
\(452\) 1.38186e12 3.33610e12i 1.55718 3.75938i
\(453\) −1.90336e11 7.88398e10i −0.212363 0.0879638i
\(454\) −8.87283e11 2.14209e12i −0.980191 2.36639i
\(455\) 1.62587e11i 0.177842i
\(456\) −1.72193e12 + 7.13246e11i −1.86498 + 0.772499i
\(457\) 7.67072e11 + 7.67072e11i 0.822646 + 0.822646i 0.986487 0.163841i \(-0.0523883\pi\)
−0.163841 + 0.986487i \(0.552388\pi\)
\(458\) −2.10629e12 −2.23678
\(459\) −2.60136e11 4.50019e11i −0.273554 0.473231i
\(460\) −1.66120e11 −0.172986
\(461\) 8.77282e11 + 8.77282e11i 0.904659 + 0.904659i 0.995835 0.0911757i \(-0.0290625\pi\)
−0.0911757 + 0.995835i \(0.529062\pi\)
\(462\) 5.35985e12 2.22012e12i 5.47348 2.26719i
\(463\) 1.73183e12i 1.75142i −0.482837 0.875710i \(-0.660393\pi\)
0.482837 0.875710i \(-0.339607\pi\)
\(464\) −3.44435e11 8.31539e11i −0.344966 0.832821i
\(465\) −6.99320e11 2.89668e11i −0.693646 0.287318i
\(466\) −8.10456e11 + 1.95661e12i −0.796146 + 1.92207i
\(467\) 1.04350e12 1.04350e12i 1.01523 1.01523i 0.0153491 0.999882i \(-0.495114\pi\)
0.999882 0.0153491i \(-0.00488597\pi\)
\(468\) −2.44849e11 + 2.44849e11i −0.235935 + 0.235935i
\(469\) −3.76859e11 + 9.09819e11i −0.359668 + 0.868315i
\(470\) 5.22692e11 + 2.16506e11i 0.494090 + 0.204659i
\(471\) 2.29322e11 + 5.53632e11i 0.214710 + 0.518355i
\(472\) 2.91814e11i 0.270624i
\(473\) 3.73150e10 1.54564e10i 0.0342774 0.0141982i
\(474\) −1.71748e12 1.71748e12i −1.56275 1.56275i
\(475\) 5.55005e11 0.500237
\(476\) −3.14189e12 + 1.81618e12i −2.80517 + 1.62154i
\(477\) 6.64213e11 0.587455
\(478\) 2.16178e11 + 2.16178e11i 0.189402 + 0.189402i
\(479\) 9.90673e11 4.10350e11i 0.859846 0.356160i 0.0911987 0.995833i \(-0.470930\pi\)
0.768647 + 0.639673i \(0.220930\pi\)
\(480\) 1.00703e12i 0.865875i
\(481\) 2.01408e11 + 4.86241e11i 0.171563 + 0.414189i
\(482\) 3.51976e11 + 1.45793e11i 0.297031 + 0.123034i
\(483\) −1.18356e11 + 2.85737e11i −0.0989530 + 0.238894i
\(484\) −4.92449e12 + 4.92449e12i −4.07903 + 4.07903i
\(485\) −1.05014e11 + 1.05014e11i −0.0861809 + 0.0861809i
\(486\) −8.67874e11 + 2.09523e12i −0.705657 + 1.70361i
\(487\) −2.05017e12 8.49207e11i −1.65162 0.684122i −0.654224 0.756301i \(-0.727005\pi\)
−0.997392 + 0.0721787i \(0.977005\pi\)
\(488\) −1.57693e12 3.80705e12i −1.25871 3.03878i
\(489\) 1.75915e12i 1.39127i
\(490\) 1.01272e12 4.19483e11i 0.793611 0.328724i
\(491\) −1.30433e12 1.30433e12i −1.01280 1.01280i −0.999917 0.0128788i \(-0.995900\pi\)
−0.0128788 0.999917i \(-0.504100\pi\)
\(492\) 5.30647e12 4.08285
\(493\) 5.48010e11 + 1.46528e11i 0.417808 + 0.111715i
\(494\) 4.10883e11 0.310418
\(495\) 4.96614e11 + 4.96614e11i 0.371788 + 0.371788i
\(496\) 3.11259e12 1.28928e12i 2.30916 0.956487i
\(497\) 8.58137e11i 0.630889i
\(498\) 1.32263e12 + 3.19311e12i 0.963622 + 2.32639i
\(499\) −8.02028e11 3.32211e11i −0.579078 0.239862i 0.0738659 0.997268i \(-0.476466\pi\)
−0.652944 + 0.757406i \(0.726466\pi\)
\(500\) 1.08980e12 2.63102e12i 0.779799 1.88260i
\(501\) −8.36532e11 + 8.36532e11i −0.593216 + 0.593216i
\(502\) −1.98138e12 + 1.98138e12i −1.39252 + 1.39252i
\(503\) −3.63475e11 + 8.77507e11i −0.253174 + 0.611216i −0.998457 0.0555323i \(-0.982314\pi\)
0.745283 + 0.666748i \(0.232314\pi\)
\(504\) 2.53703e12 + 1.05087e12i 1.75141 + 0.725459i
\(505\) 3.71539e11 + 8.96975e11i 0.254210 + 0.613718i
\(506\) 7.44950e11i 0.505184i
\(507\) −1.60664e12 + 6.65491e11i −1.07990 + 0.447308i
\(508\) 2.50476e12 + 2.50476e12i 1.66871 + 1.66871i
\(509\) −1.21433e12 −0.801872 −0.400936 0.916106i \(-0.631315\pi\)
−0.400936 + 0.916106i \(0.631315\pi\)
\(510\) −1.38458e12 1.06126e12i −0.906259 0.694636i
\(511\) 5.53966e10 0.0359409
\(512\) 2.37273e12 + 2.37273e12i 1.52593 + 1.52593i
\(513\) 5.28960e11 2.19103e11i 0.337206 0.139675i
\(514\) 1.94676e12i 1.23021i
\(515\) −2.07167e9 5.00145e9i −0.00129774 0.00313302i
\(516\) 8.60391e10 + 3.56385e10i 0.0534284 + 0.0221308i
\(517\) −6.78993e11 + 1.63923e12i −0.417982 + 1.00910i
\(518\) 5.17705e12 5.17705e12i 3.15935 3.15935i
\(519\) −8.48222e11 + 8.48222e11i −0.513164 + 0.513164i
\(520\) 1.96992e11 4.75581e11i 0.118150 0.285239i
\(521\) 2.81001e12 + 1.16394e12i 1.67085 + 0.692089i 0.998826 0.0484384i \(-0.0154245\pi\)
0.672026 + 0.740528i \(0.265424\pi\)
\(522\) −2.88141e11 6.95635e11i −0.169859 0.410076i
\(523\) 2.35988e12i 1.37922i −0.724183 0.689608i \(-0.757783\pi\)
0.724183 0.689608i \(-0.242217\pi\)
\(524\) 2.16624e12 8.97287e11i 1.25521 0.519925i
\(525\) −1.60571e12 1.60571e12i −0.922466 0.922466i
\(526\) −4.21955e12 −2.40342
\(527\) −5.48480e11 + 2.05129e12i −0.309751 + 1.15846i
\(528\) −8.68069e12 −4.86073
\(529\) −1.24553e12 1.24553e12i −0.691516 0.691516i
\(530\) −1.60023e12 + 6.62835e11i −0.880927 + 0.364892i
\(531\) 1.15371e11i 0.0629756i
\(532\) −1.52970e12 3.69303e12i −0.827951 1.99885i
\(533\) −6.16135e11 2.55211e11i −0.330676 0.136971i
\(534\) 5.32340e11 1.28518e12i 0.283305 0.683958i
\(535\) 2.80775e11 2.80775e11i 0.148172 0.148172i
\(536\) 2.20470e12 2.20470e12i 1.15374 1.15374i
\(537\) −5.55342e11 + 1.34071e12i −0.288188 + 0.695748i
\(538\) −4.93734e12 2.04511e12i −2.54081 1.05244i
\(539\) 1.31555e12 + 3.17603e12i 0.671366 + 1.62082i
\(540\) 1.25824e12i 0.636782i
\(541\) 7.55209e10 3.12818e10i 0.0379035 0.0157001i −0.363651 0.931535i \(-0.618470\pi\)
0.401555 + 0.915835i \(0.368470\pi\)
\(542\) −4.01098e10 4.01098e10i −0.0199643 0.0199643i
\(543\) −1.20356e12 −0.594112
\(544\) 2.80053e12 3.70203e11i 1.37103 0.181236i
\(545\) −4.26860e11 −0.207253
\(546\) −1.18875e12 1.18875e12i −0.572429 0.572429i
\(547\) 2.01635e12 8.35199e11i 0.962992 0.398884i 0.154893 0.987931i \(-0.450497\pi\)
0.808099 + 0.589047i \(0.200497\pi\)
\(548\) 4.33073e12i 2.05139i
\(549\) −6.23455e11 1.50515e12i −0.292907 0.707139i
\(550\) 5.05328e12 + 2.09314e12i 2.35473 + 0.975362i
\(551\) −2.39110e11 + 5.77263e11i −0.110514 + 0.266803i
\(552\) 6.92405e11 6.92405e11i 0.317420 0.317420i
\(553\) 2.09988e12 2.09988e12i 0.954843 0.954843i
\(554\) 1.72783e12 4.17135e12i 0.779304 1.88141i
\(555\) 2.27396e12 + 9.41906e11i 1.01734 + 0.421395i
\(556\) 1.35854e12 + 3.27982e12i 0.602889 + 1.45550i
\(557\) 3.53439e11i 0.155584i 0.996970 + 0.0777921i \(0.0247870\pi\)
−0.996970 + 0.0777921i \(0.975213\pi\)
\(558\) 2.60388e12 1.07856e12i 1.13702 0.470968i
\(559\) −8.27598e9 8.27598e9i −0.00358481 0.00358481i
\(560\) −3.38425e12 −1.45418
\(561\) 3.32826e12 4.34223e12i 1.41868 1.85089i
\(562\) 2.38616e12 1.00899
\(563\) 7.64677e9 + 7.64677e9i 0.00320767 + 0.00320767i 0.708709 0.705501i \(-0.249278\pi\)
−0.705501 + 0.708709i \(0.749278\pi\)
\(564\) −3.77967e12 + 1.56559e12i −1.57289 + 0.651511i
\(565\) 2.12231e12i 0.876176i
\(566\) −1.21305e12 2.92856e12i −0.496826 1.19944i
\(567\) −3.94665e12 1.63475e12i −1.60363 0.664246i
\(568\) 1.03973e12 2.51013e12i 0.419134 1.01188i
\(569\) −2.34621e12 + 2.34621e12i −0.938342 + 0.938342i −0.998207 0.0598642i \(-0.980933\pi\)
0.0598642 + 0.998207i \(0.480933\pi\)
\(570\) 1.35874e12 1.35874e12i 0.539136 0.539136i
\(571\) −3.91927e11 + 9.46196e11i −0.154292 + 0.372493i −0.982058 0.188580i \(-0.939611\pi\)
0.827766 + 0.561073i \(0.189611\pi\)
\(572\) 2.61627e12 + 1.08370e12i 1.02188 + 0.423278i
\(573\) −2.59960e11 6.27599e11i −0.100742 0.243213i
\(574\) 9.27729e12i 3.56712i
\(575\) −2.69394e11 + 1.11587e11i −0.102774 + 0.0425703i
\(576\) −4.60255e11 4.60255e11i −0.174220 0.174220i
\(577\) 2.29132e12 0.860585 0.430293 0.902689i \(-0.358410\pi\)
0.430293 + 0.902689i \(0.358410\pi\)
\(578\) −2.44237e12 + 4.24065e12i −0.910198 + 1.58036i
\(579\) 3.86586e12 1.42953
\(580\) 9.70953e11 + 9.70953e11i 0.356264 + 0.356264i
\(581\) −3.90407e12 + 1.61712e12i −1.42143 + 0.588775i
\(582\) 1.53562e12i 0.554791i
\(583\) −2.07874e12 5.01853e12i −0.745233 1.79915i
\(584\) −1.62040e11 6.71192e10i −0.0576454 0.0238775i
\(585\) 7.78825e10 1.88025e11i 0.0274940 0.0663765i
\(586\) 4.48957e12 4.48957e12i 1.57277 1.57277i
\(587\) −1.83163e12 + 1.83163e12i −0.636746 + 0.636746i −0.949751 0.313005i \(-0.898664\pi\)
0.313005 + 0.949751i \(0.398664\pi\)
\(588\) −3.03334e12 + 7.32314e12i −1.04646 + 2.52638i
\(589\) −2.16079e12 8.95030e11i −0.739766 0.306421i
\(590\) 1.15132e11 + 2.77953e11i 0.0391167 + 0.0944360i
\(591\) 3.31101e12i 1.11639i
\(592\) −1.01211e13 + 4.19231e12i −3.38674 + 1.40283i
\(593\) −8.03195e11 8.03195e11i −0.266732 0.266732i 0.561050 0.827782i \(-0.310398\pi\)
−0.827782 + 0.561050i \(0.810398\pi\)
\(594\) 5.64247e12 1.85964
\(595\) 1.29756e12 1.69286e12i 0.424424 0.553726i
\(596\) 3.85709e12 1.25214
\(597\) −2.14466e12 2.14466e12i −0.690995 0.690995i
\(598\) −1.99439e11 + 8.26102e10i −0.0637755 + 0.0264167i
\(599\) 1.61658e12i 0.513071i −0.966535 0.256535i \(-0.917419\pi\)
0.966535 0.256535i \(-0.0825810\pi\)
\(600\) 2.75135e12 + 6.64235e12i 0.866693 + 2.09238i
\(601\) 2.97165e12 + 1.23090e12i 0.929099 + 0.384845i 0.795337 0.606168i \(-0.207294\pi\)
0.133762 + 0.991013i \(0.457294\pi\)
\(602\) −6.23067e10 + 1.50422e11i −0.0193353 + 0.0466795i
\(603\) 8.71646e11 8.71646e11i 0.268480 0.268480i
\(604\) −9.89197e11 + 9.89197e11i −0.302424 + 0.302424i
\(605\) 1.56640e12 3.78162e12i 0.475338 1.14757i
\(606\) −9.27469e12 3.84170e12i −2.79365 1.15717i
\(607\) 1.18442e11 + 2.85945e11i 0.0354126 + 0.0854937i 0.940596 0.339527i \(-0.110267\pi\)
−0.905184 + 0.425020i \(0.860267\pi\)
\(608\) 3.11156e12i 0.923446i
\(609\) 2.36189e12 9.78325e11i 0.695795 0.288208i
\(610\) 3.00406e12 + 3.00406e12i 0.878466 + 0.878466i
\(611\) 5.14153e11 0.149247
\(612\) 4.50346e12 5.95314e11i 1.29767 0.171540i
\(613\) −9.05807e11 −0.259098 −0.129549 0.991573i \(-0.541353\pi\)
−0.129549 + 0.991573i \(0.541353\pi\)
\(614\) −2.32605e12 2.32605e12i −0.660484 0.660484i
\(615\) −2.88143e12 + 1.19353e12i −0.812212 + 0.336429i
\(616\) 2.24577e13i 6.28422i
\(617\) −1.36378e12 3.29246e12i −0.378844 0.914611i −0.992183 0.124791i \(-0.960174\pi\)
0.613339 0.789820i \(-0.289826\pi\)
\(618\) 5.17149e10 + 2.14210e10i 0.0142616 + 0.00590733i
\(619\) −2.23700e12 + 5.40060e12i −0.612433 + 1.47854i 0.247887 + 0.968789i \(0.420264\pi\)
−0.860320 + 0.509755i \(0.829736\pi\)
\(620\) −3.63444e12 + 3.63444e12i −0.987813 + 0.987813i
\(621\) −2.12700e11 + 2.12700e11i −0.0573926 + 0.0573926i
\(622\) 4.00400e11 9.66651e11i 0.107260 0.258948i
\(623\) 1.57133e12 + 6.50867e11i 0.417900 + 0.173100i
\(624\) 9.62633e11 + 2.32400e12i 0.254173 + 0.613629i
\(625\) 1.18403e12i 0.310387i
\(626\) 4.61431e11 1.91131e11i 0.120094 0.0497447i
\(627\) 4.26118e12 + 4.26118e12i 1.10110 + 1.10110i
\(628\) 4.06909e12 1.04395
\(629\) 1.78348e12 6.67014e12i 0.454298 1.69905i
\(630\) −2.83114e12 −0.716026
\(631\) 4.61169e12 + 4.61169e12i 1.15805 + 1.15805i 0.984894 + 0.173158i \(0.0553971\pi\)
0.173158 + 0.984894i \(0.444603\pi\)
\(632\) −8.68659e12 + 3.59810e12i −2.16582 + 0.897112i
\(633\) 7.40759e11i 0.183384i
\(634\) 3.57254e12 + 8.62487e12i 0.878164 + 2.12007i
\(635\) −1.92346e12 7.96723e11i −0.469463 0.194458i
\(636\) 4.79306e12 1.15715e13i 1.16160 2.80435i
\(637\) 7.04403e11 7.04403e11i 0.169509 0.169509i
\(638\) −4.35416e12 + 4.35416e12i −1.04043 + 1.04043i
\(639\) 4.11066e11 9.92402e11i 0.0975345 0.235469i
\(640\) −1.14789e12 4.75471e11i −0.270452 0.112025i
\(641\) 1.72245e12 + 4.15836e12i 0.402982 + 0.972884i 0.986938 + 0.161099i \(0.0515039\pi\)
−0.583956 + 0.811785i \(0.698496\pi\)
\(642\) 4.10576e12i 0.953862i
\(643\) −6.00636e12 + 2.48792e12i −1.38568 + 0.573966i −0.945993 0.324187i \(-0.894909\pi\)
−0.439684 + 0.898153i \(0.644909\pi\)
\(644\) 1.48501e12 + 1.48501e12i 0.340206 + 0.340206i
\(645\) −5.47352e10 −0.0124522
\(646\) −4.27814e12 3.27914e12i −0.966515 0.740822i
\(647\) −4.54317e11 −0.101927 −0.0509635 0.998701i \(-0.516229\pi\)
−0.0509635 + 0.998701i \(0.516229\pi\)
\(648\) 9.56361e12 + 9.56361e12i 2.13076 + 2.13076i
\(649\) −8.71699e11 + 3.61069e11i −0.192870 + 0.0798895i
\(650\) 1.58498e12i 0.348269i
\(651\) 3.66204e12 + 8.84094e12i 0.799113 + 1.92923i
\(652\) −1.10359e13 4.57124e12i −2.39164 0.990648i
\(653\) 2.37815e12 5.74137e12i 0.511835 1.23568i −0.430979 0.902362i \(-0.641832\pi\)
0.942815 0.333318i \(-0.108168\pi\)
\(654\) 3.12097e12 3.12097e12i 0.667097 0.667097i
\(655\) −9.74458e11 + 9.74458e11i −0.206860 + 0.206860i
\(656\) 5.31224e12 1.28249e13i 1.11998 2.70387i
\(657\) −6.40640e10 2.65362e10i −0.0134144 0.00555641i
\(658\) −2.73711e12 6.60798e12i −0.569215 1.37421i
\(659\) 3.63356e12i 0.750494i −0.926925 0.375247i \(-0.877558\pi\)
0.926925 0.375247i \(-0.122442\pi\)
\(660\) 1.22353e13 5.06803e12i 2.50996 1.03966i
\(661\) −2.53359e12 2.53359e12i −0.516215 0.516215i 0.400209 0.916424i \(-0.368937\pi\)
−0.916424 + 0.400209i \(0.868937\pi\)
\(662\) −2.95692e12 −0.598381
\(663\) −1.53159e12 4.09520e11i −0.307844 0.0823122i
\(664\) 1.33791e13 2.67098
\(665\) 1.66126e12 + 1.66126e12i 0.329413 + 0.329413i
\(666\) −8.46697e12 + 3.50713e12i −1.66761 + 0.690746i
\(667\) 3.28272e11i 0.0642196i
\(668\) 3.07418e12 + 7.42172e12i 0.597358 + 1.44215i
\(669\) 5.39490e12 + 2.23464e12i 1.04128 + 0.431311i
\(670\) −1.23014e12 + 2.96982e12i −0.235840 + 0.569368i
\(671\) −9.42115e12 + 9.42115e12i −1.79412 + 1.79412i
\(672\) 9.00219e12 9.00219e12i 1.70289 1.70289i
\(673\) 9.10991e11 2.19933e12i 0.171177 0.413259i −0.814888 0.579619i \(-0.803201\pi\)
0.986065 + 0.166360i \(0.0532014\pi\)
\(674\) −3.93439e12 1.62968e12i −0.734357 0.304181i
\(675\) −8.45189e11 2.04047e12i −0.156706 0.378323i
\(676\) 1.18085e13i 2.17487i
\(677\) 7.16228e12 2.96671e12i 1.31040 0.542784i 0.385396 0.922751i \(-0.374065\pi\)
0.925000 + 0.379968i \(0.124065\pi\)
\(678\) −1.55172e13 1.55172e13i −2.82020 2.82020i
\(679\) 1.87753e12 0.338978
\(680\) −5.84656e12 + 3.37964e12i −1.04860 + 0.606150i
\(681\) −9.85407e12 −1.75571
\(682\) −1.62984e13 1.62984e13i −2.88479 2.88479i
\(683\) 4.94571e12 2.04858e12i 0.869631 0.360213i 0.0971647 0.995268i \(-0.469023\pi\)
0.772467 + 0.635055i \(0.219023\pi\)
\(684\) 5.00361e12i 0.874039i
\(685\) −9.74063e11 2.35160e12i −0.169036 0.408089i
\(686\) 8.10960e11 + 3.35911e11i 0.139811 + 0.0579116i
\(687\) −3.42571e12 + 8.27040e12i −0.586740 + 1.41651i
\(688\) 1.72265e11 1.72265e11i 0.0293123 0.0293123i
\(689\) −1.11304e12 + 1.11304e12i −0.188159 + 0.188159i
\(690\) −3.86336e11 + 9.32698e11i −0.0648850 + 0.156646i
\(691\) −1.29797e12 5.37637e11i −0.216578 0.0897094i 0.271757 0.962366i \(-0.412395\pi\)
−0.488334 + 0.872657i \(0.662395\pi\)
\(692\) 3.11714e12 + 7.52544e12i 0.516748 + 1.24754i
\(693\) 8.87884e12i 1.46237i
\(694\) 5.50146e11 2.27878e11i 0.0900244 0.0372893i
\(695\) −1.47538e12 1.47538e12i −0.239869 0.239869i
\(696\) −8.09408e12 −1.30745
\(697\) 4.37846e12 + 7.57447e12i 0.702706 + 1.21564i
\(698\) 2.16475e13 3.45191
\(699\) 6.36456e12 + 6.36456e12i 1.00837 + 1.00837i
\(700\) −1.42459e13 + 5.90084e12i −2.24258 + 0.928907i
\(701\) 6.06553e12i 0.948720i 0.880331 + 0.474360i \(0.157320\pi\)
−0.880331 + 0.474360i \(0.842680\pi\)
\(702\) −6.25713e11 1.51061e12i −0.0972430 0.234765i
\(703\) 7.02620e12 + 2.91035e12i 1.08498 + 0.449413i
\(704\) −2.03707e12 + 4.91793e12i −0.312557 + 0.754580i
\(705\) 1.70024e12 1.70024e12i 0.259214 0.259214i
\(706\) 9.72493e12 9.72493e12i 1.47321 1.47321i
\(707\) 4.69707e12 1.13397e13i 0.707033 1.70693i
\(708\) −2.00992e12 8.32536e11i −0.300628 0.124524i
\(709\) 1.71081e12 + 4.13025e12i 0.254269 + 0.613859i 0.998540 0.0540185i \(-0.0172030\pi\)
−0.744271 + 0.667877i \(0.767203\pi\)
\(710\) 2.80112e12i 0.413684i
\(711\) −3.43432e12 + 1.42254e12i −0.503997 + 0.208762i
\(712\) −3.80769e12 3.80769e12i −0.555267 0.555267i
\(713\) 1.22878e12 0.178062
\(714\) 2.89025e12 + 2.18643e13i 0.416192 + 3.14843i
\(715\) −1.66439e12 −0.238164
\(716\) 6.96783e12 + 6.96783e12i 0.990806 + 0.990806i
\(717\) 1.20042e12 4.97232e11i 0.169628 0.0702624i
\(718\) 6.44428e12i 0.904929i
\(719\) −4.18897e12 1.01131e13i −0.584557 1.41125i −0.888642 0.458601i \(-0.848351\pi\)
0.304086 0.952645i \(-0.401649\pi\)
\(720\) 3.91376e12 + 1.62113e12i 0.542747 + 0.224813i
\(721\) −2.61904e10 + 6.32293e10i −0.00360939 + 0.00871384i
\(722\) −5.21766e12 + 5.21766e12i −0.714593 + 0.714593i
\(723\) 1.14492e12 1.14492e12i 0.155831 0.155831i
\(724\) −3.12751e12 + 7.55048e12i −0.423034 + 1.02129i
\(725\) 2.22679e12 + 9.22368e11i 0.299336 + 0.123989i
\(726\) 1.61965e13 + 3.91018e13i 2.16375 + 5.22374i
\(727\) 4.35490e12i 0.578194i −0.957300 0.289097i \(-0.906645\pi\)
0.957300 0.289097i \(-0.0933550\pi\)
\(728\) −6.01238e12 + 2.49041e12i −0.793332 + 0.328609i
\(729\) 9.65549e10 + 9.65549e10i 0.0126619 + 0.0126619i
\(730\) 1.80825e11 0.0235670
\(731\) 2.01218e10 + 1.52218e11i 0.00260638 + 0.0197169i
\(732\) −3.07207e13 −3.95486
\(733\) −1.63061e12 1.63061e12i −0.208632 0.208632i 0.595054 0.803686i \(-0.297131\pi\)
−0.803686 + 0.595054i \(0.797131\pi\)
\(734\) 1.91330e13 7.92516e12i 2.43305 1.00780i
\(735\) 4.65873e12i 0.588810i
\(736\) −6.25594e11 1.51032e12i −0.0785855 0.189722i
\(737\) −9.31375e12 3.85788e12i −1.16284 0.481665i
\(738\) 4.44402e12 1.07288e13i 0.551471 1.33137i
\(739\) 8.00903e12 8.00903e12i 0.987825 0.987825i −0.0121020 0.999927i \(-0.503852\pi\)
0.999927 + 0.0121020i \(0.00385229\pi\)
\(740\) 1.18180e13 1.18180e13i 1.44878 1.44878i
\(741\) 6.68269e11 1.61334e12i 0.0814272 0.196583i
\(742\) 2.02304e13 + 8.37969e12i 2.45011 + 1.01487i
\(743\) −5.65234e12 1.36460e13i −0.680423 1.64269i −0.763235 0.646121i \(-0.776390\pi\)
0.0828118 0.996565i \(-0.473610\pi\)
\(744\) 3.02975e13i 3.62517i
\(745\) −2.09441e12 + 8.67533e11i −0.249091 + 0.103177i
\(746\) −1.25453e13 1.25453e13i −1.48305 1.48305i
\(747\) 5.28954e12 0.621549
\(748\) −1.85921e13 3.21632e13i −2.17156 3.75667i
\(749\) −5.01992e12 −0.582812
\(750\) −1.22377e13 1.22377e13i −1.41229 1.41229i
\(751\) −4.59451e12 + 1.90311e12i −0.527060 + 0.218315i −0.630315 0.776340i \(-0.717074\pi\)
0.103255 + 0.994655i \(0.467074\pi\)
\(752\) 1.07021e13i 1.22037i
\(753\) 4.55739e12 + 1.10025e13i 0.516582 + 1.24714i
\(754\) 1.64855e12 + 6.82851e11i 0.185751 + 0.0769405i
\(755\) 3.14647e11 7.59625e11i 0.0352421 0.0850820i
\(756\) −1.12479e13 + 1.12479e13i −1.25234 + 1.25234i
\(757\) −3.25253e12 + 3.25253e12i −0.359990 + 0.359990i −0.863809 0.503819i \(-0.831928\pi\)
0.503819 + 0.863809i \(0.331928\pi\)
\(758\) −8.21573e12 + 1.98345e13i −0.903930 + 2.18228i
\(759\) −2.92507e12 1.21160e12i −0.319925 0.132517i
\(760\) −2.84654e12 6.87216e12i