Properties

Label 17.10.d.a.8.12
Level $17$
Weight $10$
Character 17.8
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 8.12
Character \(\chi\) \(=\) 17.8
Dual form 17.10.d.a.15.12

$q$-expansion

\(f(q)\) \(=\) \(q+(26.4264 - 26.4264i) q^{2} +(-94.0407 + 227.034i) q^{3} -884.705i q^{4} +(-1431.34 - 592.881i) q^{5} +(3514.54 + 8484.85i) q^{6} +(-8665.10 + 3589.20i) q^{7} +(-9849.24 - 9849.24i) q^{8} +(-28783.0 - 28783.0i) q^{9} +O(q^{10})\) \(q+(26.4264 - 26.4264i) q^{2} +(-94.0407 + 227.034i) q^{3} -884.705i q^{4} +(-1431.34 - 592.881i) q^{5} +(3514.54 + 8484.85i) q^{6} +(-8665.10 + 3589.20i) q^{7} +(-9849.24 - 9849.24i) q^{8} +(-28783.0 - 28783.0i) q^{9} +(-53492.8 + 22157.4i) q^{10} +(12187.7 + 29423.6i) q^{11} +(200859. + 83198.3i) q^{12} -3836.87i q^{13} +(-134137. + 323837. i) q^{14} +(269209. - 269209. i) q^{15} -67590.2 q^{16} +(271096. - 212355. i) q^{17} -1.52126e6 q^{18} +(-498424. + 498424. i) q^{19} +(-524525. + 1.26631e6i) q^{20} -2.30481e6i q^{21} +(1.09964e6 + 455484. i) q^{22} +(-54124.7 - 130669. i) q^{23} +(3.16235e6 - 1.30989e6i) q^{24} +(316161. + 316161. i) q^{25} +(-101394. - 101394. i) q^{26} +(4.77279e6 - 1.97695e6i) q^{27} +(3.17538e6 + 7.66606e6i) q^{28} +(-4.99241e6 - 2.06793e6i) q^{29} -1.42284e7i q^{30} +(-3.36298e6 + 8.11894e6i) q^{31} +(3.25665e6 - 3.25665e6i) q^{32} -7.82631e6 q^{33} +(1.55231e6 - 1.27759e7i) q^{34} +1.45307e7 q^{35} +(-2.54645e7 + 2.54645e7i) q^{36} +(-112891. + 272543. i) q^{37} +2.63431e7i q^{38} +(871101. + 360822. i) q^{39} +(8.25820e6 + 1.99370e7i) q^{40} +(1.30639e7 - 5.41125e6i) q^{41} +(-6.09077e7 - 6.09077e7i) q^{42} +(-1.32798e7 - 1.32798e7i) q^{43} +(2.60312e7 - 1.07825e7i) q^{44} +(2.41334e7 + 5.82631e7i) q^{45} +(-4.88341e6 - 2.02278e6i) q^{46} +2.19574e7i q^{47} +(6.35624e6 - 1.53453e7i) q^{48} +(3.36672e7 - 3.36672e7i) q^{49} +1.67099e7 q^{50} +(2.27179e7 + 8.15182e7i) q^{51} -3.39450e6 q^{52} +(-5.89440e7 + 5.89440e7i) q^{53} +(7.38837e7 - 1.78371e8i) q^{54} -4.93411e7i q^{55} +(1.20696e8 + 4.99937e7i) q^{56} +(-6.62872e7 - 1.60032e8i) q^{57} +(-1.86579e8 + 7.72836e7i) q^{58} +(7.42776e7 + 7.42776e7i) q^{59} +(-2.38170e8 - 2.38170e8i) q^{60} +(-9.05193e6 + 3.74943e6i) q^{61} +(1.25683e8 + 3.03425e8i) q^{62} +(3.52715e8 + 1.46099e8i) q^{63} -2.06729e8i q^{64} +(-2.27480e6 + 5.49186e6i) q^{65} +(-2.06821e8 + 2.06821e8i) q^{66} -1.49532e8 q^{67} +(-1.87872e8 - 2.39840e8i) q^{68} +3.47562e7 q^{69} +(3.83993e8 - 3.83993e8i) q^{70} +(-2.68600e6 + 6.48457e6i) q^{71} +5.66981e8i q^{72} +(-8.42466e7 - 3.48961e7i) q^{73} +(4.21901e6 + 1.01856e7i) q^{74} +(-1.01511e8 + 4.20474e7i) q^{75} +(4.40958e8 + 4.40958e8i) q^{76} +(-2.11215e8 - 2.11215e8i) q^{77} +(3.25552e7 - 1.34848e7i) q^{78} +(3.15962e7 + 7.62799e7i) q^{79} +(9.67446e7 + 4.00729e7i) q^{80} +4.68298e8i q^{81} +(2.02232e8 - 4.88231e8i) q^{82} +(-4.05665e7 + 4.05665e7i) q^{83} -2.03907e9 q^{84} +(-5.13932e8 + 1.43225e8i) q^{85} -7.01872e8 q^{86} +(9.38981e8 - 9.38981e8i) q^{87} +(1.69761e8 - 4.09840e8i) q^{88} +6.66119e7i q^{89} +(2.17744e9 + 9.01925e8i) q^{90} +(1.37713e7 + 3.32468e7i) q^{91} +(-1.15603e8 + 4.78844e7i) q^{92} +(-1.52702e9 - 1.52702e9i) q^{93} +(5.80254e8 + 5.80254e8i) q^{94} +(1.00892e9 - 4.17908e8i) q^{95} +(4.33114e8 + 1.04563e9i) q^{96} +(5.30835e8 + 2.19879e8i) q^{97} -1.77941e9i q^{98} +(4.96103e8 - 1.19770e9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 52q - 4q^{2} - 4q^{3} - 1140q^{5} + 12308q^{6} - 4q^{7} + 2044q^{8} - 83224q^{9} + O(q^{10}) \) \( 52q - 4q^{2} - 4q^{3} - 1140q^{5} + 12308q^{6} - 4q^{7} + 2044q^{8} - 83224q^{9} - 117636q^{10} - 115768q^{11} - 145528q^{12} + 463660q^{14} + 288244q^{15} - 3407880q^{16} - 271932q^{17} + 2193336q^{18} - 406700q^{19} + 493564q^{20} + 800964q^{22} - 4172180q^{23} + 15078440q^{24} + 11946576q^{25} - 14209012q^{26} - 7973656q^{27} + 13540804q^{28} + 7833752q^{29} + 5936252q^{31} - 26730116q^{32} - 1635208q^{33} - 53493988q^{34} + 46992776q^{35} - 12761764q^{36} + 74606796q^{37} + 74096776q^{39} - 69317672q^{40} - 71362288q^{41} - 308117664q^{42} - 3765712q^{43} + 163659820q^{44} + 14167408q^{45} + 72135428q^{46} + 164621412q^{48} - 284548508q^{49} + 226223888q^{50} - 406733132q^{51} + 103553016q^{52} - 244724728q^{53} + 971226260q^{54} + 470691652q^{56} - 440646580q^{57} - 308561768q^{58} - 481734984q^{59} + 379626176q^{60} + 507966228q^{61} + 358867236q^{62} + 1070586456q^{63} + 366263684q^{65} - 2244715148q^{66} - 311910088q^{67} - 1839196668q^{68} + 533688136q^{69} + 34867672q^{70} + 186006812q^{71} + 487115192q^{73} - 214149412q^{74} + 533015920q^{75} + 1104236912q^{76} - 237869092q^{77} - 2081523384q^{78} - 136338052q^{79} - 922534152q^{80} + 1951892384q^{82} + 1843663888q^{83} - 2630025952q^{84} - 395061976q^{85} + 1538547296q^{86} - 369395636q^{87} - 3388839640q^{88} + 874363684q^{90} + 2087197720q^{91} + 1061427500q^{92} + 576415420q^{93} + 6899365112q^{94} + 5031766876q^{95} + 490811364q^{96} - 3419996368q^{97} - 5630536112q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 26.4264 26.4264i 1.16789 1.16789i 0.185188 0.982703i \(-0.440711\pi\)
0.982703 0.185188i \(-0.0592895\pi\)
\(3\) −94.0407 + 227.034i −0.670302 + 1.61825i 0.110796 + 0.993843i \(0.464660\pi\)
−0.781098 + 0.624409i \(0.785340\pi\)
\(4\) 884.705i 1.72794i
\(5\) −1431.34 592.881i −1.02418 0.424231i −0.193574 0.981086i \(-0.562008\pi\)
−0.830610 + 0.556855i \(0.812008\pi\)
\(6\) 3514.54 + 8484.85i 1.10710 + 2.67278i
\(7\) −8665.10 + 3589.20i −1.36406 + 0.565011i −0.940170 0.340705i \(-0.889334\pi\)
−0.423886 + 0.905716i \(0.639334\pi\)
\(8\) −9849.24 9849.24i −0.850155 0.850155i
\(9\) −28783.0 28783.0i −1.46233 1.46233i
\(10\) −53492.8 + 22157.4i −1.69159 + 0.700680i
\(11\) 12187.7 + 29423.6i 0.250988 + 0.605939i 0.998284 0.0585519i \(-0.0186483\pi\)
−0.747296 + 0.664491i \(0.768648\pi\)
\(12\) 200859. + 83198.3i 2.79624 + 1.15824i
\(13\) 3836.87i 0.0372590i −0.999826 0.0186295i \(-0.994070\pi\)
0.999826 0.0186295i \(-0.00593030\pi\)
\(14\) −134137. + 323837.i −0.933198 + 2.25294i
\(15\) 269209. 269209.i 1.37302 1.37302i
\(16\) −67590.2 −0.257836
\(17\) 271096. 212355.i 0.787233 0.616656i
\(18\) −1.52126e6 −3.41568
\(19\) −498424. + 498424.i −0.877420 + 0.877420i −0.993267 0.115847i \(-0.963042\pi\)
0.115847 + 0.993267i \(0.463042\pi\)
\(20\) −524525. + 1.26631e6i −0.733045 + 1.76973i
\(21\) 2.30481e6i 2.58611i
\(22\) 1.09964e6 + 455484.i 1.00080 + 0.414544i
\(23\) −54124.7 130669.i −0.0403293 0.0973634i 0.902431 0.430834i \(-0.141780\pi\)
−0.942761 + 0.333470i \(0.891780\pi\)
\(24\) 3.16235e6 1.30989e6i 1.94562 0.805904i
\(25\) 316161. + 316161.i 0.161874 + 0.161874i
\(26\) −101394. 101394.i −0.0435145 0.0435145i
\(27\) 4.77279e6 1.97695e6i 1.72836 0.715911i
\(28\) 3.17538e6 + 7.66606e6i 0.976304 + 2.35701i
\(29\) −4.99241e6 2.06793e6i −1.31075 0.542930i −0.385646 0.922647i \(-0.626022\pi\)
−0.925103 + 0.379717i \(0.876022\pi\)
\(30\) 1.42284e7i 3.20709i
\(31\) −3.36298e6 + 8.11894e6i −0.654028 + 1.57896i 0.152854 + 0.988249i \(0.451154\pi\)
−0.806881 + 0.590713i \(0.798846\pi\)
\(32\) 3.25665e6 3.25665e6i 0.549030 0.549030i
\(33\) −7.82631e6 −1.14880
\(34\) 1.55231e6 1.27759e7i 0.199215 1.63959i
\(35\) 1.45307e7 1.63674
\(36\) −2.54645e7 + 2.54645e7i −2.52681 + 2.52681i
\(37\) −112891. + 272543.i −0.00990264 + 0.0239071i −0.928754 0.370698i \(-0.879119\pi\)
0.918851 + 0.394605i \(0.129119\pi\)
\(38\) 2.63431e7i 2.04946i
\(39\) 871101. + 360822.i 0.0602945 + 0.0249748i
\(40\) 8.25820e6 + 1.99370e7i 0.510053 + 1.23138i
\(41\) 1.30639e7 5.41125e6i 0.722015 0.299068i 0.00874870 0.999962i \(-0.497215\pi\)
0.713266 + 0.700893i \(0.247215\pi\)
\(42\) −6.09077e7 6.09077e7i −3.02030 3.02030i
\(43\) −1.32798e7 1.32798e7i −0.592355 0.592355i 0.345912 0.938267i \(-0.387570\pi\)
−0.938267 + 0.345912i \(0.887570\pi\)
\(44\) 2.60312e7 1.07825e7i 1.04703 0.433693i
\(45\) 2.41334e7 + 5.82631e7i 0.877328 + 2.11806i
\(46\) −4.88341e6 2.02278e6i −0.160810 0.0666097i
\(47\) 2.19574e7i 0.656357i 0.944616 + 0.328179i \(0.106435\pi\)
−0.944616 + 0.328179i \(0.893565\pi\)
\(48\) 6.35624e6 1.53453e7i 0.172828 0.417244i
\(49\) 3.36672e7 3.36672e7i 0.834306 0.834306i
\(50\) 1.67099e7 0.378103
\(51\) 2.27179e7 + 8.15182e7i 0.470221 + 1.68729i
\(52\) −3.39450e6 −0.0643814
\(53\) −5.89440e7 + 5.89440e7i −1.02612 + 1.02612i −0.0264711 + 0.999650i \(0.508427\pi\)
−0.999650 + 0.0264711i \(0.991573\pi\)
\(54\) 7.38837e7 1.78371e8i 1.18243 2.85465i
\(55\) 4.93411e7i 0.727070i
\(56\) 1.20696e8 + 4.99937e7i 1.64000 + 0.679312i
\(57\) −6.62872e7 1.60032e8i −0.831750 2.00802i
\(58\) −1.86579e8 + 7.72836e7i −2.16490 + 0.896729i
\(59\) 7.42776e7 + 7.42776e7i 0.798039 + 0.798039i 0.982786 0.184748i \(-0.0591467\pi\)
−0.184748 + 0.982786i \(0.559147\pi\)
\(60\) −2.38170e8 2.38170e8i −2.37250 2.37250i
\(61\) −9.05193e6 + 3.74943e6i −0.0837061 + 0.0346722i −0.424144 0.905595i \(-0.639425\pi\)
0.340438 + 0.940267i \(0.389425\pi\)
\(62\) 1.25683e8 + 3.03425e8i 1.08022 + 2.60789i
\(63\) 3.52715e8 + 1.46099e8i 2.82093 + 1.16847i
\(64\) 2.06729e8i 1.54025i
\(65\) −2.27480e6 + 5.49186e6i −0.0158064 + 0.0381601i
\(66\) −2.06821e8 + 2.06821e8i −1.34167 + 1.34167i
\(67\) −1.49532e8 −0.906560 −0.453280 0.891368i \(-0.649746\pi\)
−0.453280 + 0.891368i \(0.649746\pi\)
\(68\) −1.87872e8 2.39840e8i −1.06554 1.36029i
\(69\) 3.47562e7 0.184591
\(70\) 3.83993e8 3.83993e8i 1.91153 1.91153i
\(71\) −2.68600e6 + 6.48457e6i −0.0125442 + 0.0302844i −0.930028 0.367490i \(-0.880217\pi\)
0.917483 + 0.397774i \(0.130217\pi\)
\(72\) 5.66981e8i 2.48641i
\(73\) −8.42466e7 3.48961e7i −0.347216 0.143821i 0.202258 0.979332i \(-0.435172\pi\)
−0.549474 + 0.835511i \(0.685172\pi\)
\(74\) 4.21901e6 + 1.01856e7i 0.0163557 + 0.0394861i
\(75\) −1.01511e8 + 4.20474e7i −0.370458 + 0.153449i
\(76\) 4.40958e8 + 4.40958e8i 1.51613 + 1.51613i
\(77\) −2.11215e8 2.11215e8i −0.684724 0.684724i
\(78\) 3.25552e7 1.34848e7i 0.0995853 0.0412496i
\(79\) 3.15962e7 + 7.62799e7i 0.0912668 + 0.220337i 0.962921 0.269784i \(-0.0869524\pi\)
−0.871654 + 0.490122i \(0.836952\pi\)
\(80\) 9.67446e7 + 4.00729e7i 0.264072 + 0.109382i
\(81\) 4.68298e8i 1.20876i
\(82\) 2.02232e8 4.88231e8i 0.493955 1.19251i
\(83\) −4.05665e7 + 4.05665e7i −0.0938244 + 0.0938244i −0.752461 0.658637i \(-0.771133\pi\)
0.658637 + 0.752461i \(0.271133\pi\)
\(84\) −2.03907e9 −4.46865
\(85\) −5.13932e8 + 1.43225e8i −1.06788 + 0.297601i
\(86\) −7.01872e8 −1.38361
\(87\) 9.38981e8 9.38981e8i 1.75720 1.75720i
\(88\) 1.69761e8 4.09840e8i 0.301763 0.728521i
\(89\) 6.66119e7i 0.112537i 0.998416 + 0.0562687i \(0.0179204\pi\)
−0.998416 + 0.0562687i \(0.982080\pi\)
\(90\) 2.17744e9 + 9.01925e8i 3.49828 + 1.44904i
\(91\) 1.37713e7 + 3.32468e7i 0.0210517 + 0.0508234i
\(92\) −1.15603e8 + 4.78844e7i −0.168238 + 0.0696865i
\(93\) −1.52702e9 1.52702e9i −2.11676 2.11676i
\(94\) 5.80254e8 + 5.80254e8i 0.766554 + 0.766554i
\(95\) 1.00892e9 4.17908e8i 1.27087 0.526411i
\(96\) 4.33114e8 + 1.04563e9i 0.520453 + 1.25648i
\(97\) 5.30835e8 + 2.19879e8i 0.608817 + 0.252180i 0.665722 0.746199i \(-0.268124\pi\)
−0.0569059 + 0.998380i \(0.518124\pi\)
\(98\) 1.77941e9i 1.94876i
\(99\) 4.96103e8 1.19770e9i 0.519055 1.25311i
\(100\) 2.79709e8 2.79709e8i 0.279709 0.279709i
\(101\) 4.50136e8 0.430425 0.215213 0.976567i \(-0.430956\pi\)
0.215213 + 0.976567i \(0.430956\pi\)
\(102\) 2.75458e9 + 1.55388e9i 2.51973 + 1.42140i
\(103\) −7.34932e8 −0.643398 −0.321699 0.946842i \(-0.604254\pi\)
−0.321699 + 0.946842i \(0.604254\pi\)
\(104\) −3.77902e7 + 3.77902e7i −0.0316759 + 0.0316759i
\(105\) −1.36648e9 + 3.29896e9i −1.09711 + 2.64866i
\(106\) 3.11535e9i 2.39679i
\(107\) −1.14140e9 4.72783e8i −0.841803 0.348686i −0.0802385 0.996776i \(-0.525568\pi\)
−0.761564 + 0.648090i \(0.775568\pi\)
\(108\) −1.74902e9 4.22251e9i −1.23705 2.98651i
\(109\) 3.28499e8 1.36069e8i 0.222902 0.0923292i −0.268437 0.963297i \(-0.586507\pi\)
0.491340 + 0.870968i \(0.336507\pi\)
\(110\) −1.30390e9 1.30390e9i −0.849139 0.849139i
\(111\) −5.12602e7 5.12602e7i −0.0320499 0.0320499i
\(112\) 5.85676e8 2.42595e8i 0.351703 0.145680i
\(113\) −2.73372e8 6.59979e8i −0.157725 0.380783i 0.825186 0.564861i \(-0.191070\pi\)
−0.982912 + 0.184078i \(0.941070\pi\)
\(114\) −5.98078e9 2.47732e9i −3.31655 1.37376i
\(115\) 2.19121e8i 0.116827i
\(116\) −1.82950e9 + 4.41681e9i −0.938151 + 2.26490i
\(117\) −1.10436e8 + 1.10436e8i −0.0544849 + 0.0544849i
\(118\) 3.92577e9 1.86404
\(119\) −1.58689e9 + 2.81310e9i −0.725413 + 1.28595i
\(120\) −5.30300e9 −2.33457
\(121\) 9.50110e8 9.50110e8i 0.402939 0.402939i
\(122\) −1.40126e8 + 3.38293e8i −0.0572662 + 0.138253i
\(123\) 3.47484e9i 1.36887i
\(124\) 7.18287e9 + 2.97524e9i 2.72835 + 1.13012i
\(125\) 8.92882e8 + 2.15561e9i 0.327114 + 0.789723i
\(126\) 1.31819e10 5.46011e9i 4.65918 1.92989i
\(127\) 7.29299e8 + 7.29299e8i 0.248765 + 0.248765i 0.820464 0.571699i \(-0.193715\pi\)
−0.571699 + 0.820464i \(0.693715\pi\)
\(128\) −3.79569e9 3.79569e9i −1.24982 1.24982i
\(129\) 4.26380e9 1.76612e9i 1.35564 0.561523i
\(130\) 8.50152e7 + 2.05245e8i 0.0261067 + 0.0630270i
\(131\) −5.00330e9 2.07244e9i −1.48435 0.614837i −0.514270 0.857628i \(-0.671937\pi\)
−0.970079 + 0.242791i \(0.921937\pi\)
\(132\) 6.92398e9i 1.98506i
\(133\) 2.52995e9 6.10783e9i 0.701099 1.69260i
\(134\) −3.95158e9 + 3.95158e9i −1.05876 + 1.05876i
\(135\) −8.00358e9 −2.07387
\(136\) −4.76163e9 5.78553e8i −1.19352 0.145017i
\(137\) 3.16964e9 0.768718 0.384359 0.923184i \(-0.374423\pi\)
0.384359 + 0.923184i \(0.374423\pi\)
\(138\) 9.18480e8 9.18480e8i 0.215583 0.215583i
\(139\) 2.74708e9 6.63205e9i 0.624174 1.50689i −0.222586 0.974913i \(-0.571450\pi\)
0.846760 0.531975i \(-0.178550\pi\)
\(140\) 1.28554e10i 2.82819i
\(141\) −4.98508e9 2.06489e9i −1.06215 0.439958i
\(142\) 1.00383e8 + 2.42345e8i 0.0207186 + 0.0500191i
\(143\) 1.12895e8 4.67624e7i 0.0225767 0.00935158i
\(144\) 1.94545e9 + 1.94545e9i 0.377041 + 0.377041i
\(145\) 5.91981e9 + 5.91981e9i 1.11212 + 1.11212i
\(146\) −3.14851e9 + 1.30415e9i −0.573478 + 0.237542i
\(147\) 4.47753e9 + 1.08097e10i 0.790880 + 1.90935i
\(148\) 2.41120e8 + 9.98751e7i 0.0413100 + 0.0171112i
\(149\) 9.84251e9i 1.63594i 0.575260 + 0.817971i \(0.304901\pi\)
−0.575260 + 0.817971i \(0.695099\pi\)
\(150\) −1.57142e9 + 3.79373e9i −0.253443 + 0.611866i
\(151\) 6.99899e9 6.99899e9i 1.09557 1.09557i 0.100645 0.994922i \(-0.467909\pi\)
0.994922 0.100645i \(-0.0320906\pi\)
\(152\) 9.81819e9 1.49189
\(153\) −1.39152e10 1.69074e9i −2.05295 0.249439i
\(154\) −1.11633e10 −1.59937
\(155\) 9.62713e9 9.62713e9i 1.33969 1.33969i
\(156\) 3.19221e8 7.70667e8i 0.0431550 0.104185i
\(157\) 1.10838e9i 0.145593i 0.997347 + 0.0727964i \(0.0231923\pi\)
−0.997347 + 0.0727964i \(0.976808\pi\)
\(158\) 2.85077e9 + 1.18083e9i 0.363920 + 0.150741i
\(159\) −7.83918e9 1.89255e10i −0.972711 2.34833i
\(160\) −6.59218e9 + 2.73057e9i −0.795223 + 0.329392i
\(161\) 9.37992e8 + 9.37992e8i 0.110023 + 0.110023i
\(162\) 1.23754e10 + 1.23754e10i 1.41170 + 1.41170i
\(163\) −9.29176e9 + 3.84877e9i −1.03099 + 0.427049i −0.833069 0.553169i \(-0.813418\pi\)
−0.197919 + 0.980218i \(0.563418\pi\)
\(164\) −4.78736e9 1.15577e10i −0.516772 1.24760i
\(165\) 1.12021e10 + 4.64007e9i 1.17658 + 0.487357i
\(166\) 2.14405e9i 0.219153i
\(167\) 1.84264e6 4.44852e6i 0.000183322 0.000442579i −0.923788 0.382905i \(-0.874924\pi\)
0.923971 + 0.382462i \(0.124924\pi\)
\(168\) −2.27006e10 + 2.27006e10i −2.19860 + 2.19860i
\(169\) 1.05898e10 0.998612
\(170\) −9.79644e9 + 1.73663e10i −0.899597 + 1.59473i
\(171\) 2.86923e10 2.56615
\(172\) −1.17487e10 + 1.17487e10i −1.02355 + 1.02355i
\(173\) −2.79005e9 + 6.73578e9i −0.236813 + 0.571716i −0.996950 0.0780466i \(-0.975132\pi\)
0.760137 + 0.649763i \(0.225132\pi\)
\(174\) 4.96277e10i 4.10443i
\(175\) −3.87433e9 1.60480e9i −0.312266 0.129345i
\(176\) −8.23767e8 1.98875e9i −0.0647139 0.156233i
\(177\) −2.38487e10 + 9.87845e9i −1.82635 + 0.756501i
\(178\) 1.76031e9 + 1.76031e9i 0.131431 + 0.131431i
\(179\) 3.10178e9 + 3.10178e9i 0.225825 + 0.225825i 0.810946 0.585121i \(-0.198953\pi\)
−0.585121 + 0.810946i \(0.698953\pi\)
\(180\) 5.15457e10 2.13509e10i 3.65987 1.51597i
\(181\) 3.80901e9 + 9.19577e9i 0.263790 + 0.636846i 0.999167 0.0408127i \(-0.0129947\pi\)
−0.735377 + 0.677659i \(0.762995\pi\)
\(182\) 1.24252e9 + 5.14668e8i 0.0839424 + 0.0347701i
\(183\) 2.40770e9i 0.158698i
\(184\) −7.53899e8 + 1.82007e9i −0.0484879 + 0.117060i
\(185\) 3.23170e8 3.23170e8i 0.0202842 0.0202842i
\(186\) −8.07073e10 −4.94430
\(187\) 9.55229e9 + 5.38852e9i 0.571242 + 0.322242i
\(188\) 1.94258e10 1.13415
\(189\) −3.42610e10 + 3.42610e10i −1.95309 + 1.95309i
\(190\) 1.56183e10 3.77059e10i 0.869445 2.09903i
\(191\) 3.59313e9i 0.195354i 0.995218 + 0.0976771i \(0.0311412\pi\)
−0.995218 + 0.0976771i \(0.968859\pi\)
\(192\) 4.69346e10 + 1.94409e10i 2.49251 + 1.03243i
\(193\) 7.09815e9 + 1.71365e10i 0.368246 + 0.889024i 0.994038 + 0.109034i \(0.0347757\pi\)
−0.625792 + 0.779990i \(0.715224\pi\)
\(194\) 1.98386e10 8.21743e9i 1.00555 0.416513i
\(195\) −1.03292e9 1.03292e9i −0.0511576 0.0511576i
\(196\) −2.97856e10 2.97856e10i −1.44163 1.44163i
\(197\) −2.14241e10 + 8.87414e9i −1.01345 + 0.419786i −0.826713 0.562623i \(-0.809792\pi\)
−0.186740 + 0.982409i \(0.559792\pi\)
\(198\) −1.85406e10 4.47610e10i −0.857295 2.06969i
\(199\) −2.17177e10 8.99576e9i −0.981691 0.406630i −0.166639 0.986018i \(-0.553291\pi\)
−0.815052 + 0.579388i \(0.803291\pi\)
\(200\) 6.22788e9i 0.275236i
\(201\) 1.40621e10 3.39488e10i 0.607669 1.46704i
\(202\) 1.18955e10 1.18955e10i 0.502690 0.502690i
\(203\) 5.06820e10 2.09470
\(204\) 7.21196e10 2.00986e10i 2.91553 0.812514i
\(205\) −2.19071e10 −0.866350
\(206\) −1.94216e10 + 1.94216e10i −0.751419 + 0.751419i
\(207\) −2.20316e9 + 5.31890e9i −0.0834026 + 0.201352i
\(208\) 2.59335e8i 0.00960673i
\(209\) −2.07401e10 8.59081e9i −0.751886 0.311441i
\(210\) 5.10686e10 + 1.23291e11i 1.81204 + 4.37465i
\(211\) 2.31549e10 9.59106e9i 0.804213 0.333116i 0.0575705 0.998341i \(-0.481665\pi\)
0.746642 + 0.665226i \(0.231665\pi\)
\(212\) 5.21481e10 + 5.21481e10i 1.77307 + 1.77307i
\(213\) −1.21963e9 1.21963e9i −0.0405994 0.0405994i
\(214\) −4.26569e10 + 1.76691e10i −1.39036 + 0.575906i
\(215\) 1.11345e10 + 2.68812e10i 0.355385 + 0.857976i
\(216\) −6.64798e10 2.75368e10i −2.07801 0.860740i
\(217\) 8.24218e10i 2.52333i
\(218\) 5.08523e9 1.22768e10i 0.152495 0.368156i
\(219\) 1.58452e10 1.58452e10i 0.465479 0.465479i
\(220\) −4.36523e10 −1.25633
\(221\) −8.14779e8 1.04016e9i −0.0229760 0.0293315i
\(222\) −2.70924e9 −0.0748616
\(223\) −2.13526e10 + 2.13526e10i −0.578201 + 0.578201i −0.934407 0.356207i \(-0.884070\pi\)
0.356207 + 0.934407i \(0.384070\pi\)
\(224\) −1.65304e10 + 3.99079e10i −0.438700 + 1.05912i
\(225\) 1.82001e10i 0.473426i
\(226\) −2.46651e10 1.02166e10i −0.628919 0.260507i
\(227\) −2.27430e10 5.49065e10i −0.568502 1.37248i −0.902818 0.430023i \(-0.858505\pi\)
0.334316 0.942461i \(-0.391495\pi\)
\(228\) −1.41581e11 + 5.86447e10i −3.46974 + 1.43721i
\(229\) 2.24166e10 + 2.24166e10i 0.538654 + 0.538654i 0.923134 0.384479i \(-0.125619\pi\)
−0.384479 + 0.923134i \(0.625619\pi\)
\(230\) 5.79056e9 + 5.79056e9i 0.136441 + 0.136441i
\(231\) 6.78158e10 2.80902e10i 1.56703 0.649084i
\(232\) 2.88040e10 + 6.95390e10i 0.652765 + 1.57591i
\(233\) −6.85760e10 2.84051e10i −1.52430 0.631386i −0.545853 0.837881i \(-0.683794\pi\)
−0.978448 + 0.206495i \(0.933794\pi\)
\(234\) 5.83687e9i 0.127265i
\(235\) 1.30181e10 3.14285e10i 0.278447 0.672231i
\(236\) 6.57138e10 6.57138e10i 1.37896 1.37896i
\(237\) −2.02895e10 −0.417738
\(238\) 3.24042e10 + 1.16276e11i 0.654645 + 2.34905i
\(239\) −5.76902e10 −1.14370 −0.571850 0.820358i \(-0.693774\pi\)
−0.571850 + 0.820358i \(0.693774\pi\)
\(240\) −1.81959e10 + 1.81959e10i −0.354016 + 0.354016i
\(241\) −1.17403e10 + 2.83437e10i −0.224183 + 0.541227i −0.995450 0.0952856i \(-0.969624\pi\)
0.771266 + 0.636512i \(0.219624\pi\)
\(242\) 5.02159e10i 0.941179i
\(243\) −1.23771e10 5.12677e9i −0.227715 0.0943225i
\(244\) 3.31714e9 + 8.00829e9i 0.0599115 + 0.144639i
\(245\) −6.81500e10 + 2.82286e10i −1.20842 + 0.500544i
\(246\) 9.18273e10 + 9.18273e10i 1.59869 + 1.59869i
\(247\) 1.91239e9 + 1.91239e9i 0.0326918 + 0.0326918i
\(248\) 1.13088e11 4.68427e10i 1.89839 0.786337i
\(249\) −5.39508e9 1.30249e10i −0.0889408 0.214722i
\(250\) 8.05605e10 + 3.33693e10i 1.30434 + 0.540277i
\(251\) 6.41373e10i 1.01995i 0.860189 + 0.509975i \(0.170345\pi\)
−0.860189 + 0.509975i \(0.829655\pi\)
\(252\) 1.29255e11 3.12049e11i 2.01904 4.87439i
\(253\) 3.18509e9 3.18509e9i 0.0488742 0.0488742i
\(254\) 3.85454e10 0.581060
\(255\) 1.58135e10 1.30149e11i 0.234206 1.92757i
\(256\) −9.47673e10 −1.37905
\(257\) −6.50297e9 + 6.50297e9i −0.0929850 + 0.0929850i −0.752069 0.659084i \(-0.770944\pi\)
0.659084 + 0.752069i \(0.270944\pi\)
\(258\) 6.60045e10 1.59349e11i 0.927438 2.23903i
\(259\) 2.76680e9i 0.0382057i
\(260\) 4.85868e9 + 2.01253e9i 0.0659384 + 0.0273126i
\(261\) 8.41755e10 + 2.03218e11i 1.12280 + 2.71069i
\(262\) −1.86986e11 + 7.74521e10i −2.45162 + 1.01549i
\(263\) 4.80044e10 + 4.80044e10i 0.618701 + 0.618701i 0.945198 0.326497i \(-0.105868\pi\)
−0.326497 + 0.945198i \(0.605868\pi\)
\(264\) 7.70833e10 + 7.70833e10i 0.976658 + 0.976658i
\(265\) 1.19316e11 4.94222e10i 1.48625 0.615624i
\(266\) −9.45505e10 2.28265e11i −1.15797 2.79558i
\(267\) −1.51232e10 6.26424e9i −0.182114 0.0754341i
\(268\) 1.32291e11i 1.56648i
\(269\) −5.21892e10 + 1.25996e11i −0.607708 + 1.46714i 0.257778 + 0.966204i \(0.417010\pi\)
−0.865486 + 0.500933i \(0.832990\pi\)
\(270\) −2.11505e11 + 2.11505e11i −2.42206 + 2.42206i
\(271\) −2.89117e10 −0.325621 −0.162810 0.986657i \(-0.552056\pi\)
−0.162810 + 0.986657i \(0.552056\pi\)
\(272\) −1.83234e10 + 1.43531e10i −0.202977 + 0.158996i
\(273\) −8.84324e9 −0.0963561
\(274\) 8.37620e10 8.37620e10i 0.897779 0.897779i
\(275\) −5.44933e9 + 1.31558e10i −0.0574574 + 0.138714i
\(276\) 3.07490e10i 0.318963i
\(277\) −1.57641e11 6.52971e10i −1.60883 0.666400i −0.616203 0.787587i \(-0.711330\pi\)
−0.992630 + 0.121187i \(0.961330\pi\)
\(278\) −1.02665e11 2.47856e11i −1.03091 2.48885i
\(279\) 3.30484e11 1.36891e11i 3.26536 1.35256i
\(280\) −1.43116e11 1.43116e11i −1.39148 1.39148i
\(281\) −5.39003e10 5.39003e10i −0.515719 0.515719i 0.400554 0.916273i \(-0.368818\pi\)
−0.916273 + 0.400554i \(0.868818\pi\)
\(282\) −1.86305e11 + 7.71701e10i −1.75430 + 0.726655i
\(283\) 2.99939e10 + 7.24117e10i 0.277968 + 0.671073i 0.999779 0.0210164i \(-0.00669024\pi\)
−0.721811 + 0.692090i \(0.756690\pi\)
\(284\) 5.73694e9 + 2.37632e9i 0.0523296 + 0.0216756i
\(285\) 2.68360e11i 2.40944i
\(286\) 1.74763e9 4.21915e9i 0.0154455 0.0372888i
\(287\) −9.37780e10 + 9.37780e10i −0.815892 + 0.815892i
\(288\) −1.87472e11 −1.60572
\(289\) 2.83983e10 1.15137e11i 0.239471 0.970904i
\(290\) 3.12878e11 2.59767
\(291\) −9.98402e10 + 9.98402e10i −0.816182 + 0.816182i
\(292\) −3.08727e10 + 7.45334e10i −0.248515 + 0.599968i
\(293\) 4.34293e10i 0.344253i −0.985075 0.172127i \(-0.944936\pi\)
0.985075 0.172127i \(-0.0550639\pi\)
\(294\) 4.03986e11 + 1.67337e11i 3.15358 + 1.30626i
\(295\) −6.22788e10 1.50354e11i −0.478786 1.15589i
\(296\) 3.79623e9 1.57245e9i 0.0287435 0.0119059i
\(297\) 1.16338e11 + 1.16338e11i 0.867598 + 0.867598i
\(298\) 2.60102e11 + 2.60102e11i 1.91060 + 1.91060i
\(299\) −5.01358e8 + 2.07669e8i −0.00362767 + 0.00150263i
\(300\) 3.71995e10 + 8.98076e10i 0.265150 + 0.640129i
\(301\) 1.62734e11 + 6.74067e10i 1.14269 + 0.473319i
\(302\) 3.69916e11i 2.55901i
\(303\) −4.23311e10 + 1.02196e11i −0.288515 + 0.696536i
\(304\) 3.36886e10 3.36886e10i 0.226231 0.226231i
\(305\) 1.51794e10 0.100439
\(306\) −4.12408e11 + 3.23048e11i −2.68893 + 2.10630i
\(307\) −2.26738e11 −1.45681 −0.728404 0.685148i \(-0.759738\pi\)
−0.728404 + 0.685148i \(0.759738\pi\)
\(308\) −1.86863e11 + 1.86863e11i −1.18316 + 1.18316i
\(309\) 6.91136e10 1.66855e11i 0.431271 1.04118i
\(310\) 5.08820e11i 3.12922i
\(311\) 2.31370e11 + 9.58366e10i 1.40244 + 0.580911i 0.950385 0.311077i \(-0.100690\pi\)
0.452059 + 0.891988i \(0.350690\pi\)
\(312\) −5.02586e9 1.21335e10i −0.0300272 0.0724921i
\(313\) 1.67983e11 6.95808e10i 0.989272 0.409770i 0.171420 0.985198i \(-0.445165\pi\)
0.817852 + 0.575428i \(0.195165\pi\)
\(314\) 2.92904e10 + 2.92904e10i 0.170037 + 0.170037i
\(315\) −4.18236e11 4.18236e11i −2.39345 2.39345i
\(316\) 6.74852e10 2.79533e10i 0.380730 0.157703i
\(317\) 1.18135e11 + 2.85204e11i 0.657073 + 1.58631i 0.802304 + 0.596916i \(0.203607\pi\)
−0.145231 + 0.989398i \(0.546393\pi\)
\(318\) −7.07292e11 2.92970e11i −3.87862 1.60658i
\(319\) 1.72098e11i 0.930504i
\(320\) −1.22566e11 + 2.95900e11i −0.653422 + 1.57750i
\(321\) 2.14676e11 2.14676e11i 1.12852 1.12852i
\(322\) 4.95754e10 0.256989
\(323\) −2.92778e10 + 2.40964e11i −0.149668 + 1.23180i
\(324\) 4.14306e11 2.08866
\(325\) 1.21307e9 1.21307e9i 0.00603128 0.00603128i
\(326\) −1.43838e11 + 3.47256e11i −0.705335 + 1.70283i
\(327\) 8.73766e10i 0.422601i
\(328\) −1.81966e11 7.53730e10i −0.868078 0.359570i
\(329\) −7.88095e10 1.90263e11i −0.370849 0.895308i
\(330\) 4.18651e11 1.73411e11i 1.94330 0.804941i
\(331\) −1.71743e11 1.71743e11i −0.786419 0.786419i 0.194487 0.980905i \(-0.437696\pi\)
−0.980905 + 0.194487i \(0.937696\pi\)
\(332\) 3.58894e10 + 3.58894e10i 0.162123 + 0.162123i
\(333\) 1.10939e10 4.59525e9i 0.0494409 0.0204791i
\(334\) −6.88640e7 1.66252e8i −0.000302784 0.000730985i
\(335\) 2.14031e11 + 8.86544e10i 0.928484 + 0.384591i
\(336\) 1.55782e11i 0.666794i
\(337\) −4.49530e10 + 1.08526e11i −0.189856 + 0.458352i −0.989932 0.141546i \(-0.954793\pi\)
0.800076 + 0.599899i \(0.204793\pi\)
\(338\) 2.79849e11 2.79849e11i 1.16627 1.16627i
\(339\) 1.75546e11 0.721926
\(340\) 1.26712e11 + 4.54679e11i 0.514236 + 1.84522i
\(341\) −2.79876e11 −1.12091
\(342\) 7.58232e11 7.58232e11i 2.99699 2.99699i
\(343\) −2.60543e10 + 6.29005e10i −0.101638 + 0.245375i
\(344\) 2.61591e11i 1.00719i
\(345\) −4.97480e10 2.06063e10i −0.189055 0.0783093i
\(346\) 1.04271e11 + 2.51733e11i 0.391131 + 0.944273i
\(347\) 2.40585e11 9.96537e10i 0.890812 0.368987i 0.110132 0.993917i \(-0.464873\pi\)
0.780681 + 0.624930i \(0.214873\pi\)
\(348\) −8.30721e11 8.30721e11i −3.03633 3.03633i
\(349\) 3.40320e11 + 3.40320e11i 1.22793 + 1.22793i 0.964746 + 0.263182i \(0.0847719\pi\)
0.263182 + 0.964746i \(0.415228\pi\)
\(350\) −1.44793e11 + 5.99754e10i −0.515754 + 0.213632i
\(351\) −7.58530e9 1.83125e10i −0.0266742 0.0643971i
\(352\) 1.35513e11 + 5.61315e10i 0.470479 + 0.194879i
\(353\) 1.13877e11i 0.390347i 0.980769 + 0.195173i \(0.0625270\pi\)
−0.980769 + 0.195173i \(0.937473\pi\)
\(354\) −3.69183e11 + 8.91286e11i −1.24947 + 3.01649i
\(355\) 7.68916e9 7.68916e9i 0.0256951 0.0256951i
\(356\) 5.89319e10 0.194458
\(357\) −4.89438e11 6.24824e11i −1.59474 2.03587i
\(358\) 1.63937e11 0.527478
\(359\) −3.38214e11 + 3.38214e11i −1.07465 + 1.07465i −0.0776691 + 0.996979i \(0.524748\pi\)
−0.996979 + 0.0776691i \(0.975252\pi\)
\(360\) 3.36152e11 8.11543e11i 1.05481 2.54654i
\(361\) 1.74165e11i 0.539732i
\(362\) 3.43669e11 + 1.42352e11i 1.05185 + 0.435689i
\(363\) 1.26359e11 + 3.05057e11i 0.381966 + 0.922148i
\(364\) 2.94136e10 1.21835e10i 0.0878198 0.0363762i
\(365\) 9.98963e10 + 9.98963e10i 0.294599 + 0.294599i
\(366\) −6.36267e10 6.36267e10i −0.185342 0.185342i
\(367\) −3.49206e11 + 1.44646e11i −1.00481 + 0.416206i −0.823559 0.567230i \(-0.808015\pi\)
−0.181252 + 0.983437i \(0.558015\pi\)
\(368\) 3.65830e9 + 8.83192e9i 0.0103983 + 0.0251038i
\(369\) −5.31771e11 2.20267e11i −1.49316 0.618486i
\(370\) 1.70804e10i 0.0473796i
\(371\) 2.99194e11 7.22318e11i 0.819917 1.97946i
\(372\) −1.35096e12 + 1.35096e12i −3.65764 + 3.65764i
\(373\) −6.03744e10 −0.161496 −0.0807482 0.996735i \(-0.525731\pi\)
−0.0807482 + 0.996735i \(0.525731\pi\)
\(374\) 3.94831e11 1.10033e11i 1.04349 0.290805i
\(375\) −5.73365e11 −1.49724
\(376\) 2.16264e11 2.16264e11i 0.558005 0.558005i
\(377\) −7.93435e9 + 1.91552e10i −0.0202291 + 0.0488372i
\(378\) 1.81079e12i 4.56199i
\(379\) 4.95094e11 + 2.05075e11i 1.23257 + 0.510547i 0.901385 0.433019i \(-0.142552\pi\)
0.331184 + 0.943566i \(0.392552\pi\)
\(380\) −3.69726e11 8.92597e11i −0.909606 2.19598i
\(381\) −2.34160e11 + 9.69921e10i −0.569311 + 0.235816i
\(382\) 9.49533e10 + 9.49533e10i 0.228152 + 0.228152i
\(383\) −4.38024e11 4.38024e11i −1.04017 1.04017i −0.999159 0.0410087i \(-0.986943\pi\)
−0.0410087 0.999159i \(-0.513057\pi\)
\(384\) 1.21870e12 5.04803e11i 2.86027 1.18476i
\(385\) 1.77095e11 + 4.27545e11i 0.410802 + 0.991765i
\(386\) 6.40433e11 + 2.65276e11i 1.46835 + 0.608212i
\(387\) 7.64462e11i 1.73243i
\(388\) 1.94528e11 4.69632e11i 0.435752 1.05200i
\(389\) 9.86519e9 9.86519e9i 0.0218440 0.0218440i −0.696100 0.717944i \(-0.745083\pi\)
0.717944 + 0.696100i \(0.245083\pi\)
\(390\) −5.45925e10 −0.119493
\(391\) −4.24212e10 2.39301e10i −0.0917883 0.0517784i
\(392\) −6.63194e11 −1.41858
\(393\) 9.41028e11 9.41028e11i 1.98992 1.98992i
\(394\) −3.31649e11 + 8.00671e11i −0.693339 + 1.67387i
\(395\) 1.27915e11i 0.264384i
\(396\) −1.05961e12 4.38905e11i −2.16530 0.896895i
\(397\) −3.10626e11 7.49918e11i −0.627597 1.51515i −0.842600 0.538539i \(-0.818976\pi\)
0.215004 0.976613i \(-0.431024\pi\)
\(398\) −8.11644e11 + 3.36194e11i −1.62141 + 0.671609i
\(399\) 1.14877e12 + 1.14877e12i 2.26911 + 2.26911i
\(400\) −2.13694e10 2.13694e10i −0.0417370 0.0417370i
\(401\) −6.27171e10 + 2.59783e10i −0.121126 + 0.0501719i −0.442423 0.896806i \(-0.645881\pi\)
0.321297 + 0.946978i \(0.395881\pi\)
\(402\) −5.25535e11 1.26875e12i −1.00365 2.42304i
\(403\) 3.11513e10 + 1.29033e10i 0.0588306 + 0.0243684i
\(404\) 3.98238e11i 0.743749i
\(405\) 2.77645e11 6.70294e11i 0.512793 1.23799i
\(406\) 1.33934e12 1.33934e12i 2.44638 2.44638i
\(407\) −9.39507e9 −0.0169717
\(408\) 5.79139e11 1.02665e12i 1.03469 1.83421i
\(409\) −3.62017e11 −0.639697 −0.319848 0.947469i \(-0.603632\pi\)
−0.319848 + 0.947469i \(0.603632\pi\)
\(410\) −5.78926e11 + 5.78926e11i −1.01180 + 1.01180i
\(411\) −2.98075e11 + 7.19617e11i −0.515273 + 1.24398i
\(412\) 6.50198e11i 1.11175i
\(413\) −9.10220e11 3.77025e11i −1.53947 0.637669i
\(414\) 8.23377e10 + 1.98781e11i 0.137752 + 0.332562i
\(415\) 8.21155e10 3.40133e10i 0.135897 0.0562902i
\(416\) −1.24953e10 1.24953e10i −0.0204563 0.0204563i
\(417\) 1.24737e12 + 1.24737e12i 2.02014 + 2.02014i
\(418\) −7.75108e11 + 3.21060e11i −1.24185 + 0.514391i
\(419\) 2.00338e11 + 4.83660e11i 0.317542 + 0.766614i 0.999383 + 0.0351140i \(0.0111794\pi\)
−0.681841 + 0.731500i \(0.738821\pi\)
\(420\) 2.91861e12 + 1.20893e12i 4.57672 + 1.89574i
\(421\) 3.45685e11i 0.536303i −0.963377 0.268152i \(-0.913587\pi\)
0.963377 0.268152i \(-0.0864128\pi\)
\(422\) 3.58442e11 8.65355e11i 0.550190 1.32828i
\(423\) 6.31999e11 6.31999e11i 0.959809 0.959809i
\(424\) 1.16111e12 1.74472
\(425\) 1.52848e11 + 1.85715e10i 0.227253 + 0.0276120i
\(426\) −6.44607e10 −0.0948313
\(427\) 6.49784e10 6.49784e10i 0.0945896 0.0945896i
\(428\) −4.18273e11 + 1.00980e12i −0.602509 + 1.45458i
\(429\) 3.00285e10i 0.0428032i
\(430\) 1.00462e12 + 4.16126e11i 1.41707 + 0.586971i
\(431\) −1.38358e11 3.34025e11i −0.193133 0.466264i 0.797415 0.603431i \(-0.206200\pi\)
−0.990548 + 0.137167i \(0.956200\pi\)
\(432\) −3.22594e11 + 1.33623e11i −0.445635 + 0.184588i
\(433\) −9.83339e11 9.83339e11i −1.34434 1.34434i −0.891692 0.452643i \(-0.850481\pi\)
−0.452643 0.891692i \(-0.649519\pi\)
\(434\) −2.17811e12 2.17811e12i −2.94697 2.94697i
\(435\) −1.90070e12 + 7.87298e11i −2.54515 + 1.05423i
\(436\) −1.20381e11 2.90625e11i −0.159539 0.385162i
\(437\) 9.21054e10 + 3.81513e10i 0.120814 + 0.0500429i
\(438\) 8.37463e11i 1.08726i
\(439\) −2.13618e11 + 5.15720e11i −0.274504 + 0.662711i −0.999665 0.0258681i \(-0.991765\pi\)
0.725162 + 0.688579i \(0.241765\pi\)
\(440\) −4.85972e11 + 4.85972e11i −0.618122 + 0.618122i
\(441\) −1.93809e12 −2.44006
\(442\) −4.90193e10 5.95599e9i −0.0610895 0.00742256i
\(443\) 1.13238e12 1.39693 0.698463 0.715646i \(-0.253868\pi\)
0.698463 + 0.715646i \(0.253868\pi\)
\(444\) −4.53502e10 + 4.53502e10i −0.0553803 + 0.0553803i
\(445\) 3.94929e10 9.53444e10i 0.0477419 0.115259i
\(446\) 1.12854e12i 1.35055i
\(447\) −2.23459e12 9.25597e11i −2.64737 1.09657i
\(448\) 7.41992e11 + 1.79133e12i 0.870258 + 2.10099i
\(449\) 7.64244e11 3.16560e11i 0.887409 0.367577i 0.108043 0.994146i \(-0.465542\pi\)
0.779366 + 0.626570i \(0.215542\pi\)
\(450\) −4.80962e11 4.80962e11i −0.552910 0.552910i
\(451\) 3.18437e11 + 3.18437e11i 0.362434 + 0.362434i
\(452\) −5.83887e11 + 2.41854e11i −0.657969 + 0.272540i
\(453\) 9.30821e11 + 2.24720e12i 1.03854 + 2.50726i
\(454\) −2.05199e12 8.49964e11i −2.26686 0.938964i
\(455\) 5.57523e10i 0.0609833i
\(456\) −9.23310e11 + 2.22907e12i −1.00001 + 2.41425i
\(457\) 8.33417e11 8.33417e11i 0.893798 0.893798i −0.101080 0.994878i \(-0.532230\pi\)
0.994878 + 0.101080i \(0.0322299\pi\)
\(458\) 1.18478e12 1.25818
\(459\) 8.74067e11 1.54947e12i 0.919153 1.62939i
\(460\) 1.93857e11 0.201870
\(461\) 1.77042e11 1.77042e11i 0.182566 0.182566i −0.609907 0.792473i \(-0.708793\pi\)
0.792473 + 0.609907i \(0.208793\pi\)
\(462\) 1.04980e12 2.53445e12i 1.07206 2.58818i
\(463\) 8.92342e10i 0.0902437i −0.998981 0.0451218i \(-0.985632\pi\)
0.998981 0.0451218i \(-0.0143676\pi\)
\(464\) 3.37438e11 + 1.39772e11i 0.337959 + 0.139987i
\(465\) 1.28035e12 + 3.09103e12i 1.26996 + 3.06595i
\(466\) −2.56286e12 + 1.06157e12i −2.51761 + 1.04283i
\(467\) 5.62308e11 + 5.62308e11i 0.547077 + 0.547077i 0.925594 0.378517i \(-0.123566\pi\)
−0.378517 + 0.925594i \(0.623566\pi\)
\(468\) 9.77037e10 + 9.77037e10i 0.0941466 + 0.0941466i
\(469\) 1.29571e12 5.36699e11i 1.23660 0.512216i
\(470\) −4.86520e11 1.17456e12i −0.459896 1.11029i
\(471\) −2.51640e11 1.04233e11i −0.235606 0.0975911i
\(472\) 1.46316e12i 1.35691i
\(473\) 2.28889e11 5.52588e11i 0.210257 0.507606i
\(474\) −5.36178e11 + 5.36178e11i −0.487872 + 0.487872i
\(475\) −3.15164e11 −0.284063
\(476\) 2.48876e12 + 1.40393e12i 2.22204 + 1.25347i
\(477\) 3.39317e12 3.00105
\(478\) −1.52454e12 + 1.52454e12i −1.33572 + 1.33572i
\(479\) 2.57741e11 6.22243e11i 0.223704 0.540070i −0.771683 0.636007i \(-0.780585\pi\)
0.995387 + 0.0959372i \(0.0305848\pi\)
\(480\) 1.75344e12i 1.50766i
\(481\) 1.04571e9 + 4.33147e8i 0.000890755 + 0.000368963i
\(482\) 4.38766e11 + 1.05927e12i 0.370272 + 0.893916i
\(483\) −3.01166e11 + 1.24747e11i −0.251793 + 0.104296i
\(484\) −8.40567e11 8.40567e11i −0.696255 0.696255i
\(485\) −6.29443e11 6.29443e11i −0.516558 0.516558i
\(486\) −4.62564e11 + 1.91600e11i −0.376105 + 0.155788i
\(487\) −4.97706e11 1.20157e12i −0.400952 0.967984i −0.987435 0.158023i \(-0.949488\pi\)
0.586483 0.809961i \(-0.300512\pi\)
\(488\) 1.26084e11 + 5.22256e10i 0.100640 + 0.0416864i
\(489\) 2.47149e12i 1.95465i
\(490\) −1.05498e12 + 2.54694e12i −0.826723 + 1.99589i
\(491\) 9.01806e10 9.01806e10i 0.0700239 0.0700239i −0.671227 0.741251i \(-0.734233\pi\)
0.741251 + 0.671227i \(0.234233\pi\)
\(492\) 3.07421e12 2.36532
\(493\) −1.79256e12 + 4.99559e11i −1.36667 + 0.380869i
\(494\) 1.01075e11 0.0763610
\(495\) −1.42018e12 + 1.42018e12i −1.06321 + 1.06321i
\(496\) 2.27304e11 5.48761e11i 0.168632 0.407114i
\(497\) 6.58300e10i 0.0483972i
\(498\) −4.86773e11 2.01628e11i −0.354645 0.146899i
\(499\) −1.70208e11 4.10917e11i −0.122893 0.296689i 0.850446 0.526063i \(-0.176332\pi\)
−0.973339 + 0.229373i \(0.926332\pi\)
\(500\) 1.90708e12 7.89938e11i 1.36459 0.565233i
\(501\) 8.36684e8 + 8.36684e8i 0.000593324 + 0.000593324i
\(502\) 1.69491e12 + 1.69491e12i 1.19119 + 1.19119i
\(503\) −1.17715e12 + 4.87591e11i −0.819927 + 0.339625i −0.752907 0.658127i \(-0.771349\pi\)
−0.0670198 + 0.997752i \(0.521349\pi\)
\(504\) −2.03501e12 4.91295e12i −1.40485 3.39160i
\(505\) −6.44298e11 2.66877e11i −0.440834 0.182600i
\(506\) 1.68341e11i 0.114159i
\(507\) −9.95871e11 + 2.40424e12i −0.669371 + 1.61601i
\(508\) 6.45214e11 6.45214e11i 0.429850 0.429850i
\(509\) 1.02878e12 0.679348 0.339674 0.940543i \(-0.389683\pi\)
0.339674 + 0.940543i \(0.389683\pi\)
\(510\) −3.02148e12 3.85727e12i −1.97767 2.52472i
\(511\) 8.55254e11 0.554882
\(512\) −5.60962e11 + 5.60962e11i −0.360760 + 0.360760i
\(513\) −1.39351e12 + 3.36423e12i −0.888345 + 2.14466i
\(514\) 3.43700e11i 0.217193i
\(515\) 1.05194e12 + 4.35727e11i 0.658958 + 0.272949i
\(516\) −1.56250e12 3.77221e12i −0.970278 2.34246i
\(517\) −6.46066e11 + 2.67609e11i −0.397713 + 0.164738i
\(518\) −7.31163e10 7.31163e10i −0.0446201 0.0446201i
\(519\) −1.26688e12 1.26688e12i −0.766445 0.766445i
\(520\) 7.64958e10 3.16856e10i 0.0458799 0.0190041i
\(521\) 6.15281e10 + 1.48542e11i 0.0365851 + 0.0883241i 0.941116 0.338084i \(-0.109779\pi\)
−0.904531 + 0.426408i \(0.859779\pi\)
\(522\) 7.59476e12 + 3.14585e12i 4.47710 + 1.85447i
\(523\) 5.92253e11i 0.346138i 0.984910 + 0.173069i \(0.0553684\pi\)
−0.984910 + 0.173069i \(0.944632\pi\)
\(524\) −1.83349e12 + 4.42645e12i −1.06240 + 2.56486i
\(525\) 7.28689e11 7.28689e11i 0.418625 0.418625i
\(526\) 2.53717e12 1.44515
\(527\) 8.12410e11 + 2.91516e12i 0.458805 + 1.64632i
\(528\) 5.28982e11 0.296202
\(529\) 1.25946e12 1.25946e12i 0.699254 0.699254i
\(530\) 1.84703e12 4.45913e12i 1.01679 2.45476i
\(531\) 4.27586e12i 2.33399i
\(532\) −5.40363e12 2.23826e12i −2.92471 1.21146i
\(533\) −2.07622e10 5.01245e10i −0.0111430 0.0269016i
\(534\) −5.65192e11 + 2.34110e11i −0.300788 + 0.124590i
\(535\) 1.35343e12 + 1.35343e12i 0.714237 + 0.714237i
\(536\) 1.47277e12 + 1.47277e12i 0.770716 + 0.770716i
\(537\) −9.95904e11 + 4.12517e11i −0.516813 + 0.214071i
\(538\) 1.95044e12 + 4.70878e12i 1.00372 + 2.42319i
\(539\) 1.40094e12 + 5.80287e11i 0.714940 + 0.296138i
\(540\) 7.08081e12i 3.58353i
\(541\) 1.21404e12 2.93094e12i 0.609318 1.47102i −0.254426 0.967092i \(-0.581887\pi\)
0.863744 0.503931i \(-0.168113\pi\)
\(542\) −7.64031e11 + 7.64031e11i −0.380289 + 0.380289i
\(543\) −2.44596e12 −1.20740
\(544\) 1.91298e11 1.57443e12i 0.0936517 0.770777i
\(545\) −5.50867e11 −0.267462
\(546\) −2.33695e11 + 2.33695e11i −0.112533 + 0.112533i
\(547\) −1.33959e12 + 3.23405e12i −0.639776 + 1.54456i 0.187202 + 0.982322i \(0.440058\pi\)
−0.826978 + 0.562235i \(0.809942\pi\)
\(548\) 2.80419e12i 1.32830i
\(549\) 3.68462e11 + 1.52622e11i 0.173108 + 0.0717036i
\(550\) 2.03655e11 + 4.91667e11i 0.0948994 + 0.229107i
\(551\) 3.51904e12 1.45763e12i 1.62646 0.673700i
\(552\) −3.42322e11 3.42322e11i −0.156931 0.156931i
\(553\) −5.47568e11 5.47568e11i −0.248986 0.248986i
\(554\) −5.89145e12 + 2.44032e12i −2.65722 + 1.10066i
\(555\) 4.29796e10 + 1.03762e11i 0.0192284 + 0.0464216i
\(556\) −5.86741e12 2.43036e12i −2.60381 1.07853i
\(557\) 1.35176e12i 0.595045i 0.954715 + 0.297522i \(0.0961603\pi\)
−0.954715 + 0.297522i \(0.903840\pi\)
\(558\) 5.11596e12 1.23510e13i 2.23395 5.39323i
\(559\) −5.09527e10 + 5.09527e10i −0.0220706 + 0.0220706i
\(560\) −9.82132e11 −0.422011
\(561\) −2.12168e12 + 1.66196e12i −0.904373 + 0.708415i
\(562\) −2.84878e12 −1.20461
\(563\) −9.61325e11 + 9.61325e11i −0.403258 + 0.403258i −0.879379 0.476122i \(-0.842042\pi\)
0.476122 + 0.879379i \(0.342042\pi\)
\(564\) −1.82682e12 + 4.41033e12i −0.760220 + 1.83533i
\(565\) 1.10673e12i 0.456903i
\(566\) 2.70621e12 + 1.12095e12i 1.10838 + 0.459105i
\(567\) −1.68082e12 4.05785e12i −0.682962 1.64882i
\(568\) 9.03232e10 3.74131e10i 0.0364109 0.0150819i
\(569\) 1.04097e12 + 1.04097e12i 0.416326 + 0.416326i 0.883935 0.467609i \(-0.154885\pi\)
−0.467609 + 0.883935i \(0.654885\pi\)
\(570\) 7.09178e12 + 7.09178e12i 2.81396 + 2.81396i
\(571\) 1.92135e12 7.95848e11i 0.756386 0.313305i 0.0290418 0.999578i \(-0.490754\pi\)
0.727344 + 0.686273i \(0.240754\pi\)
\(572\) −4.13710e10 9.98784e10i −0.0161590 0.0390112i
\(573\) −8.15764e11 3.37901e11i −0.316132 0.130946i
\(574\) 4.95642e12i 1.90575i
\(575\) 2.42002e10 5.84243e10i 0.00923236 0.0222889i
\(576\) −5.95028e12 + 5.95028e12i −2.25235 + 2.25235i
\(577\) −4.38287e12 −1.64614 −0.823072 0.567938i \(-0.807741\pi\)
−0.823072 + 0.567938i \(0.807741\pi\)
\(578\) −2.29220e12 3.79313e12i −0.854234 1.41359i
\(579\) −4.55808e12 −1.68550
\(580\) 5.23729e12 5.23729e12i 1.92168 1.92168i
\(581\) 2.05911e11 4.97113e11i 0.0749699 0.180993i
\(582\) 5.27682e12i 1.90642i
\(583\) −2.45274e12 1.01596e12i −0.879311 0.364223i
\(584\) 4.86065e11 + 1.17346e12i 0.172917 + 0.417457i
\(585\) 2.23548e11 9.25966e10i 0.0789168 0.0326884i
\(586\) −1.14768e12 1.14768e12i −0.402051 0.402051i
\(587\) −1.05748e12 1.05748e12i −0.367622 0.367622i 0.498987 0.866609i \(-0.333706\pi\)
−0.866609 + 0.498987i \(0.833706\pi\)
\(588\) 9.56341e12 3.96130e12i 3.29925 1.36659i
\(589\) −2.37049e12 5.72286e12i −0.811556 1.95927i
\(590\) −5.61912e12 2.32752e12i −1.90912 0.790785i
\(591\) 5.69853e12i 1.92141i
\(592\) 7.63032e9 1.84212e10i 0.00255326 0.00616411i
\(593\) 2.49943e12 2.49943e12i 0.830032 0.830032i −0.157489 0.987521i \(-0.550340\pi\)
0.987521 + 0.157489i \(0.0503398\pi\)
\(594\) 6.14879e12 2.02652
\(595\) 3.93921e12 3.08567e12i 1.28849 1.00931i
\(596\) 8.70772e12 2.82681
\(597\) 4.08469e12 4.08469e12i 1.31606 1.31606i
\(598\) −7.76112e9 + 1.87370e10i −0.00248181 + 0.00599163i
\(599\) 1.01514e12i 0.322186i 0.986939 + 0.161093i \(0.0515019\pi\)
−0.986939 + 0.161093i \(0.948498\pi\)
\(600\) 1.41394e12 + 5.85675e11i 0.445401 + 0.184491i
\(601\) 1.57746e12 + 3.80834e12i 0.493202 + 1.19069i 0.953082 + 0.302713i \(0.0978924\pi\)
−0.459880 + 0.887981i \(0.652108\pi\)
\(602\) 6.08179e12 2.51916e12i 1.88733 0.781756i
\(603\) 4.30397e12 + 4.30397e12i 1.32569 + 1.32569i
\(604\) −6.19204e12 6.19204e12i −1.89307 1.89307i
\(605\) −1.92323e12 + 7.96629e11i −0.583623 + 0.241745i
\(606\) 1.58202e12 + 3.81934e12i 0.476525 + 1.15043i
\(607\) 1.24089e12 + 5.13994e11i 0.371009 + 0.153677i 0.560394 0.828226i \(-0.310650\pi\)
−0.189386 + 0.981903i \(0.560650\pi\)
\(608\) 3.24638e12i 0.963460i
\(609\) −4.76617e12 + 1.15065e13i −1.40408 + 3.38975i
\(610\) 4.01135e11 4.01135e11i 0.117302 0.117302i
\(611\) 8.42476e10 0.0244552
\(612\) −1.49580e12 + 1.23108e13i −0.431016 + 3.54737i
\(613\) −2.53955e11 −0.0726413 −0.0363207 0.999340i \(-0.511564\pi\)
−0.0363207 + 0.999340i \(0.511564\pi\)
\(614\) −5.99187e12 + 5.99187e12i −1.70139 + 1.70139i
\(615\) 2.06016e12 4.97368e12i 0.580716 1.40197i
\(616\) 4.16061e12i 1.16424i
\(617\) −7.84990e11 3.25153e11i −0.218062 0.0903244i 0.270978 0.962586i \(-0.412653\pi\)
−0.489040 + 0.872261i \(0.662653\pi\)
\(618\) −2.58295e12 6.23579e12i −0.712308 1.71966i
\(619\) 2.60447e12 1.07881e12i 0.713036 0.295349i 0.00347556 0.999994i \(-0.498894\pi\)
0.709560 + 0.704645i \(0.248894\pi\)
\(620\) −8.51717e12 8.51717e12i −2.31490 2.31490i
\(621\) −5.16651e11 5.16651e11i −0.139407 0.139407i
\(622\) 8.64688e12 3.58166e12i 2.31634 0.959461i
\(623\) −2.39084e11 5.77199e11i −0.0635848 0.153507i
\(624\) −5.88779e10 2.43880e10i −0.0155461 0.00643941i
\(625\) 4.48806e12i 1.17652i
\(626\) 2.60041e12 6.27795e12i 0.676796 1.63393i
\(627\) 3.90082e12 3.90082e12i 1.00798 1.00798i
\(628\) 9.80589e11 0.251576
\(629\) 2.72716e10 + 9.78582e10i 0.00694676 + 0.0249270i
\(630\) −2.21049e13 −5.59058
\(631\) 3.76881e12 3.76881e12i 0.946395 0.946395i −0.0522391 0.998635i \(-0.516636\pi\)
0.998635 + 0.0522391i \(0.0166358\pi\)
\(632\) 4.40101e11 1.06250e12i 0.109730 0.264912i
\(633\) 6.15890e12i 1.52471i
\(634\) 1.06588e13 + 4.41502e12i 2.62003 + 1.08525i
\(635\) −6.11488e11 1.47626e12i −0.149247 0.360314i
\(636\) −1.67435e13 + 6.93537e12i −4.05778 + 1.68079i
\(637\) −1.29177e11 1.29177e11i −0.0310854 0.0310854i
\(638\) −4.54793e12 4.54793e12i −1.08673 1.08673i
\(639\) 2.63956e11 1.09334e11i 0.0626294 0.0259420i
\(640\) 3.18253e12 + 7.68332e12i 0.749831 + 1.81025i
\(641\) −7.24300e12 3.00015e12i −1.69456 0.701911i −0.694713 0.719287i \(-0.744469\pi\)
−0.999849 + 0.0173765i \(0.994469\pi\)
\(642\) 1.13462e13i 2.63599i
\(643\) −3.04664e12 + 7.35523e12i −0.702864 + 1.69686i 0.0142414 + 0.999899i \(0.495467\pi\)
−0.717105 + 0.696965i \(0.754533\pi\)
\(644\) 8.29846e11 8.29846e11i 0.190113 0.190113i
\(645\) −7.15005e12 −1.62664
\(646\) 5.59409e12 + 7.14150e12i 1.26381 + 1.61340i
\(647\) −6.01408e12 −1.34927 −0.674636 0.738150i \(-0.735700\pi\)
−0.674636 + 0.738150i \(0.735700\pi\)
\(648\) 4.61238e12 4.61238e12i 1.02763 1.02763i
\(649\) −1.28025e12 + 3.09079e12i −0.283265 + 0.683861i
\(650\) 6.41138e10i 0.0140877i
\(651\) 1.87126e13 + 7.75101e12i 4.08338 + 1.69139i
\(652\) 3.40503e12 + 8.22047e12i 0.737916 + 1.78149i
\(653\) 3.68774e12 1.52751e12i 0.793689 0.328757i 0.0512635 0.998685i \(-0.483675\pi\)
0.742426 + 0.669928i \(0.233675\pi\)
\(654\) 2.30905e12 + 2.30905e12i 0.493552 + 0.493552i
\(655\) 5.93272e12 + 5.93272e12i 1.25941 + 1.25941i
\(656\) −8.82993e11 + 3.65748e11i −0.186162 + 0.0771106i
\(657\) 1.42045e12 + 3.42928e12i 0.297429 + 0.718057i
\(658\) −7.11061e12 2.94531e12i −1.47873 0.612512i
\(659\) 5.58329e12i 1.15320i 0.817026 + 0.576601i \(0.195621\pi\)
−0.817026 + 0.576601i \(0.804379\pi\)
\(660\) 4.10509e12 9.91057e12i 0.842123 2.03306i
\(661\) −5.13568e12 + 5.13568e12i −1.04638 + 1.04638i −0.0475142 + 0.998871i \(0.515130\pi\)
−0.998871 + 0.0475142i \(0.984870\pi\)
\(662\) −9.07710e12 −1.83690
\(663\) 3.12774e11 8.71655e10i 0.0628667 0.0175200i
\(664\) 7.99098e11 0.159530
\(665\) −7.24243e12 + 7.24243e12i −1.43611 + 1.43611i
\(666\) 1.71736e11 4.14608e11i 0.0338242 0.0816589i
\(667\) 7.64277e11i 0.149515i
\(668\) −3.93563e9 1.63019e9i −0.000764751 0.000316770i
\(669\) −2.83976e12 6.85579e12i −0.548105 1.32324i
\(670\) 7.99887e12 3.31324e12i 1.53353 0.635208i
\(671\) −2.20644e11 2.20644e11i −0.0420185 0.0420185i
\(672\) −7.50594e12 7.50594e12i −1.41985 1.41985i
\(673\) 2.05388e12 8.50745e11i 0.385929 0.159857i −0.181279 0.983432i \(-0.558024\pi\)
0.567208 + 0.823575i \(0.308024\pi\)
\(674\) 1.68001e12 + 4.05589e12i 0.313575 + 0.757037i
\(675\) 2.13400e12 + 8.83932e11i 0.395665 + 0.163890i
\(676\) 9.36883e12i 1.72554i
\(677\) 3.66512e11 8.84838e11i 0.0670562 0.161888i −0.886799 0.462156i \(-0.847076\pi\)
0.953855 + 0.300268i \(0.0970760\pi\)
\(678\) 4.63904e12 4.63904e12i 0.843131 0.843131i
\(679\) −5.38892e12 −0.972944
\(680\) 6.47250e12 + 3.65118e12i 1.16087 + 0.654853i
\(681\) 1.46044e13 2.60209
\(682\) −7.39609e12 + 7.39609e12i −1.30910 + 1.30910i
\(683\) 1.91863e12 4.63199e12i 0.337364 0.814468i −0.660603 0.750735i \(-0.729699\pi\)
0.997967 0.0637328i \(-0.0203005\pi\)
\(684\) 2.53842e13i 4.43415i
\(685\) −4.53683e12 1.87922e12i −0.787308 0.326114i
\(686\) 9.73713e11 + 2.35075e12i 0.167870 + 0.405273i
\(687\) −7.19742e12 + 2.98127e12i −1.23274 + 0.510617i
\(688\) 8.97582e11 + 8.97582e11i 0.152731 + 0.152731i
\(689\) 2.26160e11 + 2.26160e11i 0.0382323 + 0.0382323i
\(690\) −1.85921e12 + 7.70108e11i −0.312253 + 0.129339i
\(691\) −1.06373e12 2.56806e12i −0.177492 0.428504i 0.809947 0.586503i \(-0.199496\pi\)
−0.987439 + 0.157999i \(0.949496\pi\)
\(692\) 5.95918e12 + 2.46837e12i 0.987891 + 0.409198i
\(693\) 1.21588e13i 2.00258i
\(694\) 3.72431e12 8.99128e12i 0.609436 1.47131i
\(695\) −7.86403e12 + 7.86403e12i −1.27854 + 1.27854i
\(696\) −1.84965e13 −2.98777
\(697\) 2.39247e12 4.24116e12i 0.383971 0.680671i
\(698\) 1.79868e13 2.86817
\(699\) 1.28979e13 1.28979e13i 2.04348 2.04348i
\(700\) −1.41977e12 + 3.42764e12i −0.223500 + 0.539577i
\(701\) 2.98928e12i 0.467558i 0.972290 + 0.233779i \(0.0751092\pi\)
−0.972290 + 0.233779i \(0.924891\pi\)
\(702\) −6.84386e11 2.83482e11i −0.106361 0.0440563i
\(703\) −7.95742e10 1.92109e11i −0.0122878 0.0296653i
\(704\) 6.08272e12 2.51954e12i 0.933298 0.386585i
\(705\) 5.91112e12 + 5.91112e12i 0.901195 + 0.901195i
\(706\) 3.00936e12 + 3.00936e12i 0.455883 + 0.455883i
\(707\) −3.90047e12 + 1.61563e12i −0.587124 + 0.243195i
\(708\) 8.73952e12 + 2.10991e13i 1.30719 + 3.15583i
\(709\) 1.50245e12 + 6.22333e11i 0.223301 + 0.0924943i 0.491529 0.870861i \(-0.336438\pi\)
−0.268228 + 0.963355i \(0.586438\pi\)
\(710\) 4.06393e11i 0.0600183i
\(711\) 1.28613e12 3.10500e12i 0.188744 0.455667i
\(712\) 6.56077e11 6.56077e11i 0.0956742 0.0956742i
\(713\) 1.24291e12 0.180110
\(714\) −2.94459e13 3.57777e12i −4.24017 0.515193i
\(715\) −1.89315e11 −0.0270899
\(716\) 2.74416e12 2.74416e12i 0.390212 0.390212i
\(717\) 5.42523e12 1.30977e13i 0.766624 1.85079i
\(718\) 1.78755e13i 2.51014i
\(719\) −2.95985e12 1.22601e12i −0.413038 0.171086i 0.166481 0.986045i \(-0.446760\pi\)
−0.579519 + 0.814959i \(0.696760\pi\)
\(720\) −1.63118e12 3.93802e12i −0.226207 0.546112i
\(721\) 6.36826e12 2.63782e12i 0.877631 0.363527i
\(722\) −4.60255e12 4.60255e12i −0.630349 0.630349i
\(723\) −5.33092e12 5.33092e12i −0.725571 0.725571i
\(724\) 8.13554e12 3.36985e12i 1.10043 0.455814i
\(725\) −9.24608e11 2.23220e12i −0.124290 0.300063i
\(726\) 1.14007e13 + 4.72234e12i 1.52306 + 0.630874i
\(727\) 1.01002e13i 1.34099i −0.741914 0.670495i \(-0.766082\pi\)
0.741914 0.670495i \(-0.233918\pi\)
\(728\) 1.91819e11 4.63093e11i 0.0253105 0.0611050i
\(729\) −4.18986e12 + 4.18986e12i −0.549447 + 0.549447i
\(730\) 5.27979e12 0.688120
\(731\) −6.42012e12 7.80064e11i −0.831601 0.101042i
\(732\) −2.13010e12 −0.274221
\(733\) −1.06619e13 + 1.06619e13i −1.36417 + 1.36417i −0.495643 + 0.868527i \(0.665067\pi\)
−0.868527 + 0.495643i \(0.834933\pi\)
\(734\) −5.40578e12 + 1.30507e13i −0.687426 + 1.65959i
\(735\) 1.81270e13i 2.29104i
\(736\) −6.01807e11 2.49276e11i −0.0755974 0.0313135i
\(737\) −1.82244e12 4.39976e12i −0.227536 0.549320i
\(738\) −1.98736e13 + 8.23192e12i −2.46617 + 1.02152i
\(739\) −3.16247e12 3.16247e12i −0.390056 0.390056i 0.484652 0.874707i \(-0.338946\pi\)
−0.874707 + 0.484652i \(0.838946\pi\)
\(740\) −2.85911e11 2.85911e11i −0.0350500 0.0350500i
\(741\) −6.14020e11 + 2.54335e11i −0.0748170 + 0.0309902i
\(742\) −1.11816e13 2.69948e13i −1.35421 3.26936i
\(743\) 1.22180e13 + 5.06085e12i 1.47079 + 0.609220i 0.967038 0.254631i \(-0.0819541\pi\)
0.503748 + 0.863851i \(0.331954\pi\)
\(744\) 3.00800e13i 3.59915i
\(745\) 5.83544e12 1.40880e13i 0.694017 1.67551i
\(746\) −1.59548e12 + 1.59548e12i −0.188610 + 0.188610i
\(747\) 2.33525e12 0.274404
\(748\) 4.76725e12 8.45096e12i 0.556815 0.987072i
\(749\) 1.15872e13 1.34528
\(750\) −1.51519e13 + 1.51519e13i −1.74861 + 1.74861i
\(751\) 1.78450e10 4.30817e10i 0.00204709 0.00494212i −0.922853 0.385153i \(-0.874149\pi\)
0.924900 + 0.380211i \(0.124149\pi\)
\(752\) 1.48411e12i 0.169233i
\(753\) −1.45614e13 6.03152e12i −1.65054 0.683674i
\(754\) 2.96527e11 + 7.15879e11i 0.0334113 + 0.0806619i
\(755\) −1.41675e13 + 5.86837e12i −1.58684 + 0.657289i
\(756\) 3.03109e13 + 3.03109e13i 3.37482 + 3.37482i
\(757\) 6.01218e12 + 6.01218e12i 0.665427 + 0.665427i 0.956654 0.291227i \(-0.0940635\pi\)
−0.291227 + 0.956654i \(0.594064\pi\)
\(758\) 1.85029e13 7.66416e12i 2.03577 0.843243i
\(759\) 4.23597e11 + 1.02265e12i 0.0463303 + 0.111851i
\(760\) −1.40532e13 5.82102e12i −1.52797 0.632904i
\(761\) 1.78762e12i 0.193217i −0.995322 0.0966083i \(-0.969201\pi\)
0.995322 0.0966083i \(-0.0307994\pi\)
\(762\) −3.62484e12 +