Properties

Label 17.10.d.a.2.12
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 2.12
Character \(\chi\) \(=\) 17.2
Dual form 17.10.d.a.9.12

$q$-expansion

\(f(q)\) \(=\) \(q+(27.1947 + 27.1947i) q^{2} +(246.648 - 102.165i) q^{3} +967.098i q^{4} +(-306.747 - 740.553i) q^{5} +(9485.84 + 3929.16i) q^{6} +(-1300.23 + 3139.03i) q^{7} +(-12376.2 + 12376.2i) q^{8} +(36479.5 - 36479.5i) q^{9} +O(q^{10})\) \(q+(27.1947 + 27.1947i) q^{2} +(246.648 - 102.165i) q^{3} +967.098i q^{4} +(-306.747 - 740.553i) q^{5} +(9485.84 + 3929.16i) q^{6} +(-1300.23 + 3139.03i) q^{7} +(-12376.2 + 12376.2i) q^{8} +(36479.5 - 36479.5i) q^{9} +(11797.2 - 28481.0i) q^{10} +(-62784.5 - 26006.2i) q^{11} +(98803.5 + 238533. i) q^{12} +130769. i q^{13} +(-120724. + 50005.6i) q^{14} +(-151317. - 151317. i) q^{15} -177981. q^{16} +(-335376. + 78171.5i) q^{17} +1.98410e6 q^{18} +(-192865. - 192865. i) q^{19} +(716188. - 296655. i) q^{20} +907073. i q^{21} +(-1.00017e6 - 2.41463e6i) q^{22} +(-809452. - 335286. i) q^{23} +(-1.78816e6 + 4.31699e6i) q^{24} +(926742. - 926742. i) q^{25} +(-3.55622e6 + 3.55622e6i) q^{26} +(3.25976e6 - 7.86975e6i) q^{27} +(-3.03575e6 - 1.25745e6i) q^{28} +(862956. + 2.08336e6i) q^{29} -8.23003e6i q^{30} +(2.65070e6 - 1.09796e6i) q^{31} +(1.49651e6 + 1.49651e6i) q^{32} -1.81426e7 q^{33} +(-1.12463e7 - 6.99459e6i) q^{34} +2.72346e6 q^{35} +(3.52793e7 + 3.52793e7i) q^{36} +(1.25250e7 - 5.18801e6i) q^{37} -1.04898e7i q^{38} +(1.33600e7 + 3.22539e7i) q^{39} +(1.29617e7 + 5.36889e6i) q^{40} +(5.44928e6 - 1.31557e7i) q^{41} +(-2.46675e7 + 2.46675e7i) q^{42} +(-1.40119e7 + 1.40119e7i) q^{43} +(2.51505e7 - 6.07188e7i) q^{44} +(-3.82050e7 - 1.58250e7i) q^{45} +(-1.28948e7 - 3.11307e7i) q^{46} +1.09462e7i q^{47} +(-4.38986e7 + 1.81834e7i) q^{48} +(2.03714e7 + 2.03714e7i) q^{49} +5.04049e7 q^{50} +(-7.47334e7 + 5.35445e7i) q^{51} -1.26467e8 q^{52} +(-3.03455e7 - 3.03455e7i) q^{53} +(3.02663e8 - 1.25367e8i) q^{54} +5.44726e7i q^{55} +(-2.27575e7 - 5.49414e7i) q^{56} +(-6.72738e7 - 2.78657e7i) q^{57} +(-3.31885e7 + 8.01240e7i) q^{58} +(-4.23343e7 + 4.23343e7i) q^{59} +(1.46339e8 - 1.46339e8i) q^{60} +(-1.65255e7 + 3.98961e7i) q^{61} +(1.01943e8 + 4.22263e7i) q^{62} +(6.70786e7 + 1.61942e8i) q^{63} +1.72520e8i q^{64} +(9.68416e7 - 4.01131e7i) q^{65} +(-4.93381e8 - 4.93381e8i) q^{66} -6.33258e7 q^{67} +(-7.55995e7 - 3.24342e8i) q^{68} -2.33904e8 q^{69} +(7.40636e7 + 7.40636e7i) q^{70} +(8.84647e7 - 3.66433e7i) q^{71} +9.02959e8i q^{72} +(4.79021e7 + 1.15646e8i) q^{73} +(4.81698e8 + 1.99526e8i) q^{74} +(1.33898e8 - 3.23260e8i) q^{75} +(1.86520e8 - 1.86520e8i) q^{76} +(1.63269e8 - 1.63269e8i) q^{77} +(-5.13814e8 + 1.24046e9i) q^{78} +(1.69394e8 + 7.01653e7i) q^{79} +(5.45952e7 + 1.31804e8i) q^{80} -1.25865e9i q^{81} +(5.05957e8 - 2.09574e8i) q^{82} +(6.87825e7 + 6.87825e7i) q^{83} -8.77229e8 q^{84} +(1.60766e8 + 2.24385e8i) q^{85} -7.62098e8 q^{86} +(4.25692e8 + 4.25692e8i) q^{87} +(1.09890e9 - 4.55177e8i) q^{88} +8.43378e8i q^{89} +(-6.08616e8 - 1.46933e9i) q^{90} +(-4.10489e8 - 1.70030e8i) q^{91} +(3.24254e8 - 7.82820e8i) q^{92} +(5.41617e8 - 5.41617e8i) q^{93} +(-2.97677e8 + 2.97677e8i) q^{94} +(-8.36661e7 + 2.01988e8i) q^{95} +(5.22000e8 + 2.16220e8i) q^{96} +(-4.77247e8 - 1.15218e9i) q^{97} +1.10799e9i q^{98} +(-3.23904e9 + 1.34165e9i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 27.1947 + 27.1947i 1.20185 + 1.20185i 0.973605 + 0.228240i \(0.0732972\pi\)
0.228240 + 0.973605i \(0.426703\pi\)
\(3\) 246.648 102.165i 1.75805 0.728209i 0.761236 0.648475i \(-0.224593\pi\)
0.996816 0.0797336i \(-0.0254070\pi\)
\(4\) 967.098i 1.88886i
\(5\) −306.747 740.553i −0.219490 0.529897i 0.775329 0.631558i \(-0.217584\pi\)
−0.994819 + 0.101661i \(0.967584\pi\)
\(6\) 9485.84 + 3929.16i 2.98810 + 1.23771i
\(7\) −1300.23 + 3139.03i −0.204682 + 0.494145i −0.992570 0.121673i \(-0.961174\pi\)
0.787889 + 0.615818i \(0.211174\pi\)
\(8\) −12376.2 + 12376.2i −1.06828 + 1.06828i
\(9\) 36479.5 36479.5i 1.85335 1.85335i
\(10\) 11797.2 28481.0i 0.373061 0.900648i
\(11\) −62784.5 26006.2i −1.29296 0.535562i −0.373094 0.927794i \(-0.621703\pi\)
−0.919866 + 0.392232i \(0.871703\pi\)
\(12\) 98803.5 + 238533.i 1.37549 + 3.32072i
\(13\) 130769.i 1.26987i 0.772564 + 0.634936i \(0.218974\pi\)
−0.772564 + 0.634936i \(0.781026\pi\)
\(14\) −120724. + 50005.6i −0.839882 + 0.347890i
\(15\) −151317. 151317.i −0.771751 0.771751i
\(16\) −177981. −0.678944
\(17\) −335376. + 78171.5i −0.973894 + 0.227001i
\(18\) 1.98410e6 4.45488
\(19\) −192865. 192865.i −0.339518 0.339518i 0.516668 0.856186i \(-0.327172\pi\)
−0.856186 + 0.516668i \(0.827172\pi\)
\(20\) 716188. 296655.i 1.00090 0.414588i
\(21\) 907073.i 1.01778i
\(22\) −1.00017e6 2.41463e6i −0.910276 2.19760i
\(23\) −809452. 335286.i −0.603137 0.249827i 0.0601542 0.998189i \(-0.480841\pi\)
−0.663291 + 0.748362i \(0.730841\pi\)
\(24\) −1.78816e6 + 4.31699e6i −1.10016 + 2.65602i
\(25\) 926742. 926742.i 0.474492 0.474492i
\(26\) −3.55622e6 + 3.55622e6i −1.52619 + 1.52619i
\(27\) 3.25976e6 7.86975e6i 1.18045 2.84986i
\(28\) −3.03575e6 1.25745e6i −0.933373 0.386616i
\(29\) 862956. + 2.08336e6i 0.226567 + 0.546982i 0.995755 0.0920405i \(-0.0293389\pi\)
−0.769188 + 0.639023i \(0.779339\pi\)
\(30\) 8.23003e6i 1.85505i
\(31\) 2.65070e6 1.09796e6i 0.515505 0.213529i −0.109736 0.993961i \(-0.535001\pi\)
0.625241 + 0.780432i \(0.285001\pi\)
\(32\) 1.49651e6 + 1.49651e6i 0.252292 + 0.252292i
\(33\) −1.81426e7 −2.66309
\(34\) −1.12463e7 6.99459e6i −1.44329 0.897650i
\(35\) 2.72346e6 0.306772
\(36\) 3.52793e7 + 3.52793e7i 3.50073 + 3.50073i
\(37\) 1.25250e7 5.18801e6i 1.09867 0.455085i 0.241650 0.970363i \(-0.422311\pi\)
0.857023 + 0.515278i \(0.172311\pi\)
\(38\) 1.04898e7i 0.816096i
\(39\) 1.33600e7 + 3.22539e7i 0.924733 + 2.23250i
\(40\) 1.29617e7 + 5.36889e6i 0.800553 + 0.331600i
\(41\) 5.44928e6 1.31557e7i 0.301170 0.727089i −0.698761 0.715355i \(-0.746265\pi\)
0.999931 0.0117336i \(-0.00373502\pi\)
\(42\) −2.46675e7 + 2.46675e7i −1.22322 + 1.22322i
\(43\) −1.40119e7 + 1.40119e7i −0.625014 + 0.625014i −0.946809 0.321796i \(-0.895714\pi\)
0.321796 + 0.946809i \(0.395714\pi\)
\(44\) 2.51505e7 6.07188e7i 1.01160 2.44223i
\(45\) −3.82050e7 1.58250e7i −1.38888 0.575292i
\(46\) −1.28948e7 3.11307e7i −0.424623 1.02513i
\(47\) 1.09462e7i 0.327206i 0.986526 + 0.163603i \(0.0523116\pi\)
−0.986526 + 0.163603i \(0.947688\pi\)
\(48\) −4.38986e7 + 1.81834e7i −1.19362 + 0.494413i
\(49\) 2.03714e7 + 2.03714e7i 0.504822 + 0.504822i
\(50\) 5.04049e7 1.14053
\(51\) −7.47334e7 + 5.35445e7i −1.54685 + 1.10828i
\(52\) −1.26467e8 −2.39862
\(53\) −3.03455e7 3.03455e7i −0.528267 0.528267i 0.391788 0.920055i \(-0.371856\pi\)
−0.920055 + 0.391788i \(0.871856\pi\)
\(54\) 3.02663e8 1.25367e8i 4.84382 2.00637i
\(55\) 5.44726e7i 0.802686i
\(56\) −2.27575e7 5.49414e7i −0.309227 0.746541i
\(57\) −6.72738e7 2.78657e7i −0.844130 0.349650i
\(58\) −3.31885e7 + 8.01240e7i −0.385089 + 0.929687i
\(59\) −4.23343e7 + 4.23343e7i −0.454840 + 0.454840i −0.896957 0.442117i \(-0.854227\pi\)
0.442117 + 0.896957i \(0.354227\pi\)
\(60\) 1.46339e8 1.46339e8i 1.45773 1.45773i
\(61\) −1.65255e7 + 3.98961e7i −0.152817 + 0.368932i −0.981685 0.190512i \(-0.938985\pi\)
0.828868 + 0.559444i \(0.188985\pi\)
\(62\) 1.01943e8 + 4.22263e7i 0.876186 + 0.362928i
\(63\) 6.70786e7 + 1.61942e8i 0.536478 + 1.29517i
\(64\) 1.72520e8i 1.28538i
\(65\) 9.68416e7 4.01131e7i 0.672902 0.278725i
\(66\) −4.93381e8 4.93381e8i −3.20063 3.20063i
\(67\) −6.33258e7 −0.383923 −0.191961 0.981402i \(-0.561485\pi\)
−0.191961 + 0.981402i \(0.561485\pi\)
\(68\) −7.55995e7 3.24342e8i −0.428774 1.83955i
\(69\) −2.33904e8 −1.24227
\(70\) 7.40636e7 + 7.40636e7i 0.368692 + 0.368692i
\(71\) 8.84647e7 3.66433e7i 0.413150 0.171132i −0.166420 0.986055i \(-0.553221\pi\)
0.579570 + 0.814923i \(0.303221\pi\)
\(72\) 9.02959e8i 3.95979i
\(73\) 4.79021e7 + 1.15646e8i 0.197425 + 0.476625i 0.991327 0.131420i \(-0.0419538\pi\)
−0.793902 + 0.608046i \(0.791954\pi\)
\(74\) 4.81698e8 + 1.99526e8i 1.86738 + 0.773493i
\(75\) 1.33898e8 3.23260e8i 0.488652 1.17971i
\(76\) 1.86520e8 1.86520e8i 0.641303 0.641303i
\(77\) 1.63269e8 1.63269e8i 0.529291 0.529291i
\(78\) −5.13814e8 + 1.24046e9i −1.57174 + 3.79451i
\(79\) 1.69394e8 + 7.01653e7i 0.489301 + 0.202675i 0.613672 0.789561i \(-0.289692\pi\)
−0.124372 + 0.992236i \(0.539692\pi\)
\(80\) 5.45952e7 + 1.31804e8i 0.149022 + 0.359770i
\(81\) 1.25865e9i 3.24879i
\(82\) 5.05957e8 2.09574e8i 1.23581 0.511888i
\(83\) 6.87825e7 + 6.87825e7i 0.159084 + 0.159084i 0.782161 0.623077i \(-0.214118\pi\)
−0.623077 + 0.782161i \(0.714118\pi\)
\(84\) −8.77229e8 −1.92246
\(85\) 1.60766e8 + 2.24385e8i 0.334048 + 0.466239i
\(86\) −7.62098e8 −1.50234
\(87\) 4.25692e8 + 4.25692e8i 0.796635 + 0.796635i
\(88\) 1.09890e9 4.55177e8i 1.95337 0.809112i
\(89\) 8.43378e8i 1.42484i 0.701752 + 0.712422i \(0.252402\pi\)
−0.701752 + 0.712422i \(0.747598\pi\)
\(90\) −6.08616e8 1.46933e9i −0.977805 2.36063i
\(91\) −4.10489e8 1.70030e8i −0.627502 0.259920i
\(92\) 3.24254e8 7.82820e8i 0.471890 1.13924i
\(93\) 5.41617e8 5.41617e8i 0.750791 0.750791i
\(94\) −2.97677e8 + 2.97677e8i −0.393251 + 0.393251i
\(95\) −8.36661e7 + 2.01988e8i −0.105388 + 0.254430i
\(96\) 5.22000e8 + 2.16220e8i 0.627264 + 0.259821i
\(97\) −4.77247e8 1.15218e9i −0.547357 1.32144i −0.919437 0.393236i \(-0.871355\pi\)
0.372080 0.928200i \(-0.378645\pi\)
\(98\) 1.10799e9i 1.21344i
\(99\) −3.23904e9 + 1.34165e9i −3.38889 + 1.40373i
\(100\) 8.96251e8 + 8.96251e8i 0.896251 + 0.896251i
\(101\) −4.47910e8 −0.428297 −0.214148 0.976801i \(-0.568698\pi\)
−0.214148 + 0.976801i \(0.568698\pi\)
\(102\) −3.48847e9 5.76226e8i −3.19106 0.527098i
\(103\) 2.02597e9 1.77364 0.886819 0.462117i \(-0.152910\pi\)
0.886819 + 0.462117i \(0.152910\pi\)
\(104\) −1.61843e9 1.61843e9i −1.35658 1.35658i
\(105\) 6.71736e8 2.78242e8i 0.539321 0.223394i
\(106\) 1.65047e9i 1.26979i
\(107\) 1.85034e8 + 4.46713e8i 0.136466 + 0.329459i 0.977308 0.211822i \(-0.0679397\pi\)
−0.840842 + 0.541281i \(0.817940\pi\)
\(108\) 7.61082e9 + 3.15251e9i 5.38300 + 2.22971i
\(109\) −2.16591e8 + 5.22898e8i −0.146968 + 0.354812i −0.980170 0.198156i \(-0.936505\pi\)
0.833203 + 0.552968i \(0.186505\pi\)
\(110\) −1.48136e9 + 1.48136e9i −0.964705 + 0.964705i
\(111\) 2.55922e9 2.55922e9i 1.60013 1.60013i
\(112\) 2.31416e8 5.58688e8i 0.138967 0.335497i
\(113\) −1.42490e9 5.90211e8i −0.822110 0.340529i −0.0683358 0.997662i \(-0.521769\pi\)
−0.753775 + 0.657133i \(0.771769\pi\)
\(114\) −1.07169e9 2.58729e9i −0.594288 1.43474i
\(115\) 7.02290e8i 0.374435i
\(116\) −2.01481e9 + 8.34563e8i −1.03318 + 0.427955i
\(117\) 4.77040e9 + 4.77040e9i 2.35352 + 2.35352i
\(118\) −2.30253e9 −1.09329
\(119\) 1.90683e8 1.15440e9i 0.0871668 0.527708i
\(120\) 3.74548e9 1.64889
\(121\) 1.59825e9 + 1.59825e9i 0.677814 + 0.677814i
\(122\) −1.53437e9 + 6.35555e8i −0.627061 + 0.259737i
\(123\) 3.80156e9i 1.49757i
\(124\) 1.06183e9 + 2.56349e9i 0.403327 + 0.973719i
\(125\) −2.41697e9 1.00114e9i −0.885475 0.366776i
\(126\) −2.57978e9 + 6.22814e9i −0.911833 + 2.20136i
\(127\) −1.34436e9 + 1.34436e9i −0.458564 + 0.458564i −0.898184 0.439620i \(-0.855113\pi\)
0.439620 + 0.898184i \(0.355113\pi\)
\(128\) −3.92542e9 + 3.92542e9i −1.29253 + 1.29253i
\(129\) −2.02448e9 + 4.88753e9i −0.643666 + 1.55395i
\(130\) 3.72443e9 + 1.54271e9i 1.14371 + 0.473739i
\(131\) −1.38876e9 3.35276e9i −0.412008 0.994676i −0.984598 0.174834i \(-0.944061\pi\)
0.572590 0.819842i \(-0.305939\pi\)
\(132\) 1.75457e10i 5.03022i
\(133\) 8.56179e8 3.54641e8i 0.237264 0.0982780i
\(134\) −1.72212e9 1.72212e9i −0.461416 0.461416i
\(135\) −6.82789e9 −1.76923
\(136\) 3.18323e9 5.11817e9i 0.797889 1.28289i
\(137\) 2.10492e9 0.510498 0.255249 0.966875i \(-0.417843\pi\)
0.255249 + 0.966875i \(0.417843\pi\)
\(138\) −6.36094e9 6.36094e9i −1.49302 1.49302i
\(139\) 4.69300e9 1.94390e9i 1.06631 0.441680i 0.220623 0.975359i \(-0.429191\pi\)
0.845687 + 0.533679i \(0.179191\pi\)
\(140\) 2.63386e9i 0.579450i
\(141\) 1.11831e9 + 2.69985e9i 0.238275 + 0.575246i
\(142\) 3.40227e9 + 1.40927e9i 0.702216 + 0.290868i
\(143\) 3.40081e9 8.21027e9i 0.680095 1.64190i
\(144\) −6.49266e9 + 6.49266e9i −1.25832 + 1.25832i
\(145\) 1.27813e9 1.27813e9i 0.240115 0.240115i
\(146\) −1.84227e9 + 4.44763e9i −0.335556 + 0.810104i
\(147\) 7.10580e9 + 2.94332e9i 1.25512 + 0.519887i
\(148\) 5.01731e9 + 1.21129e10i 0.859594 + 2.07524i
\(149\) 1.45203e8i 0.0241345i −0.999927 0.0120672i \(-0.996159\pi\)
0.999927 0.0120672i \(-0.00384122\pi\)
\(150\) 1.24323e10 5.14961e9i 2.00511 0.830546i
\(151\) −7.96181e9 7.96181e9i −1.24628 1.24628i −0.957351 0.288929i \(-0.906701\pi\)
−0.288929 0.957351i \(-0.593299\pi\)
\(152\) 4.77389e9 0.725398
\(153\) −9.38270e9 + 1.50860e10i −1.38426 + 2.22568i
\(154\) 8.88006e9 1.27225
\(155\) −1.62619e9 1.62619e9i −0.226297 0.226297i
\(156\) −3.11927e10 + 1.29205e10i −4.21689 + 1.74669i
\(157\) 1.02713e10i 1.34921i −0.738180 0.674603i \(-0.764315\pi\)
0.738180 0.674603i \(-0.235685\pi\)
\(158\) 2.69849e9 + 6.51473e9i 0.344480 + 0.831648i
\(159\) −1.05849e10 4.38441e9i −1.31341 0.544032i
\(160\) 6.49194e8 1.56729e9i 0.0783131 0.189064i
\(161\) 2.10495e9 2.10495e9i 0.246902 0.246902i
\(162\) 3.42285e10 3.42285e10i 3.90454 3.90454i
\(163\) −1.87796e9 + 4.53379e9i −0.208373 + 0.503057i −0.993167 0.116699i \(-0.962769\pi\)
0.784794 + 0.619756i \(0.212769\pi\)
\(164\) 1.27229e10 + 5.26999e9i 1.37337 + 0.568869i
\(165\) 5.56519e9 + 1.34355e10i 0.584523 + 1.41116i
\(166\) 3.74103e9i 0.382389i
\(167\) −7.48109e9 + 3.09877e9i −0.744288 + 0.308294i −0.722409 0.691467i \(-0.756965\pi\)
−0.0218793 + 0.999761i \(0.506965\pi\)
\(168\) −1.12262e10 1.12262e10i −1.08728 1.08728i
\(169\) −6.49607e9 −0.612577
\(170\) −1.73010e9 + 1.04740e10i −0.158873 + 0.961821i
\(171\) −1.40713e10 −1.25849
\(172\) −1.35509e10 1.35509e10i −1.18057 1.18057i
\(173\) 1.87553e10 7.76870e9i 1.59190 0.659388i 0.601661 0.798751i \(-0.294506\pi\)
0.990241 + 0.139364i \(0.0445057\pi\)
\(174\) 2.31531e10i 1.91486i
\(175\) 1.70410e9 + 4.11405e9i 0.137348 + 0.331588i
\(176\) 1.11744e10 + 4.62861e9i 0.877847 + 0.363616i
\(177\) −6.11659e9 + 1.47667e10i −0.468414 + 1.13085i
\(178\) −2.29354e10 + 2.29354e10i −1.71244 + 1.71244i
\(179\) −7.22041e9 + 7.22041e9i −0.525682 + 0.525682i −0.919282 0.393600i \(-0.871230\pi\)
0.393600 + 0.919282i \(0.371230\pi\)
\(180\) 1.53044e10 3.69480e10i 1.08665 2.62340i
\(181\) 9.56979e9 + 3.96394e9i 0.662749 + 0.274520i 0.688595 0.725146i \(-0.258228\pi\)
−0.0258459 + 0.999666i \(0.508228\pi\)
\(182\) −6.53919e9 1.57870e10i −0.441777 1.06654i
\(183\) 1.15286e10i 0.759884i
\(184\) 1.41676e10 5.86839e9i 0.911202 0.377432i
\(185\) −7.68399e9 7.68399e9i −0.482297 0.482297i
\(186\) 2.94582e10 1.80467
\(187\) 2.30894e10 + 3.81390e9i 1.38078 + 0.228077i
\(188\) −1.05860e10 −0.618048
\(189\) 2.04650e10 + 2.04650e10i 1.16663 + 1.16663i
\(190\) −7.76826e9 + 3.21772e9i −0.432447 + 0.179125i
\(191\) 2.84445e10i 1.54649i −0.634105 0.773247i \(-0.718631\pi\)
0.634105 0.773247i \(-0.281369\pi\)
\(192\) 1.76255e10 + 4.25517e10i 0.936022 + 2.25976i
\(193\) 3.26432e9 + 1.35213e9i 0.169350 + 0.0701471i 0.465748 0.884918i \(-0.345785\pi\)
−0.296398 + 0.955065i \(0.595785\pi\)
\(194\) 1.83545e10 4.43116e10i 0.930324 2.24600i
\(195\) 1.97876e10 1.97876e10i 0.980026 0.980026i
\(196\) −1.97011e10 + 1.97011e10i −0.953540 + 0.953540i
\(197\) 5.29925e9 1.27935e10i 0.250678 0.605190i −0.747581 0.664170i \(-0.768785\pi\)
0.998259 + 0.0589802i \(0.0187849\pi\)
\(198\) −1.24570e11 5.15988e10i −5.75999 2.38587i
\(199\) −6.08966e9 1.47017e10i −0.275267 0.664553i 0.724425 0.689353i \(-0.242105\pi\)
−0.999692 + 0.0247999i \(0.992105\pi\)
\(200\) 2.29392e10i 1.01378i
\(201\) −1.56192e10 + 6.46967e9i −0.674956 + 0.279576i
\(202\) −1.21808e10 1.21808e10i −0.514747 0.514747i
\(203\) −7.66177e9 −0.316663
\(204\) −5.17828e10 7.22746e10i −2.09339 2.92179i
\(205\) −1.14141e10 −0.451386
\(206\) 5.50955e10 + 5.50955e10i 2.13164 + 2.13164i
\(207\) −4.17595e10 + 1.72973e10i −1.58084 + 0.654806i
\(208\) 2.32744e10i 0.862172i
\(209\) 7.09325e9 + 1.71246e10i 0.257150 + 0.620816i
\(210\) 2.58343e10 + 1.07009e10i 0.916665 + 0.379695i
\(211\) −7.33724e9 + 1.77137e10i −0.254837 + 0.615230i −0.998582 0.0532328i \(-0.983047\pi\)
0.743745 + 0.668463i \(0.233047\pi\)
\(212\) 2.93471e10 2.93471e10i 0.997824 0.997824i
\(213\) 1.80760e10 1.80760e10i 0.601719 0.601719i
\(214\) −7.11625e9 + 1.71801e10i −0.231947 + 0.559970i
\(215\) 1.46747e10 + 6.07845e9i 0.468377 + 0.194008i
\(216\) 5.70544e10 + 1.37742e11i 1.78339 + 4.30549i
\(217\) 9.74822e9i 0.298440i
\(218\) −2.01102e10 + 8.32990e9i −0.603061 + 0.249796i
\(219\) 2.36299e10 + 2.36299e10i 0.694166 + 0.694166i
\(220\) −5.26804e10 −1.51617
\(221\) −1.02224e10 4.38568e10i −0.288263 1.23672i
\(222\) 1.39194e11 3.84621
\(223\) 2.72268e10 + 2.72268e10i 0.737266 + 0.737266i 0.972048 0.234782i \(-0.0754377\pi\)
−0.234782 + 0.972048i \(0.575438\pi\)
\(224\) −6.64338e9 + 2.75178e9i −0.176308 + 0.0730294i
\(225\) 6.76142e10i 1.75880i
\(226\) −2.26990e10 5.48001e10i −0.578786 1.39731i
\(227\) −1.38468e10 5.73554e9i −0.346125 0.143370i 0.202847 0.979210i \(-0.434981\pi\)
−0.548972 + 0.835841i \(0.684981\pi\)
\(228\) 2.69489e10 6.50604e10i 0.660441 1.59445i
\(229\) −3.13726e10 + 3.13726e10i −0.753860 + 0.753860i −0.975197 0.221337i \(-0.928958\pi\)
0.221337 + 0.975197i \(0.428958\pi\)
\(230\) −1.90985e10 + 1.90985e10i −0.450013 + 0.450013i
\(231\) 2.35895e10 5.69501e10i 0.545086 1.31595i
\(232\) −3.64643e10 1.51040e10i −0.826365 0.342292i
\(233\) 1.58756e10 + 3.83271e10i 0.352881 + 0.851931i 0.996262 + 0.0863844i \(0.0275313\pi\)
−0.643381 + 0.765547i \(0.722469\pi\)
\(234\) 2.59459e11i 5.65714i
\(235\) 8.10622e9 3.35771e9i 0.173386 0.0718187i
\(236\) −4.09414e10 4.09414e10i −0.859131 0.859131i
\(237\) 4.89491e10 1.00781
\(238\) 3.65790e10 2.62079e10i 0.738985 0.529463i
\(239\) −7.43395e10 −1.47377 −0.736883 0.676020i \(-0.763703\pi\)
−0.736883 + 0.676020i \(0.763703\pi\)
\(240\) 2.69316e10 + 2.69316e10i 0.523976 + 0.523976i
\(241\) 2.48119e10 1.02774e10i 0.473787 0.196249i −0.132996 0.991117i \(-0.542460\pi\)
0.606783 + 0.794868i \(0.292460\pi\)
\(242\) 8.69277e10i 1.62925i
\(243\) −6.44277e10 1.55542e11i −1.18534 2.86168i
\(244\) −3.85835e10 1.59818e10i −0.696862 0.288650i
\(245\) 8.83723e9 2.13350e10i 0.156700 0.378307i
\(246\) 1.03382e11 1.03382e11i 1.79985 1.79985i
\(247\) 2.52208e10 2.52208e10i 0.431144 0.431144i
\(248\) −1.92171e10 + 4.63943e10i −0.322594 + 0.778810i
\(249\) 2.39922e10 + 9.93790e9i 0.395524 + 0.163832i
\(250\) −3.85030e10 9.29544e10i −0.623396 1.50501i
\(251\) 1.99596e10i 0.317410i −0.987326 0.158705i \(-0.949268\pi\)
0.987326 0.158705i \(-0.0507319\pi\)
\(252\) −1.56614e11 + 6.48716e10i −2.44640 + 1.01333i
\(253\) 4.21015e10 + 4.21015e10i 0.646034 + 0.646034i
\(254\) −7.31189e10 −1.10224
\(255\) 6.25768e10 + 3.89195e10i 0.926793 + 0.576416i
\(256\) −1.25170e11 −1.82147
\(257\) −7.68200e10 7.68200e10i −1.09844 1.09844i −0.994594 0.103844i \(-0.966886\pi\)
−0.103844 0.994594i \(-0.533114\pi\)
\(258\) −1.87970e11 + 7.78597e10i −2.64119 + 1.09402i
\(259\) 4.60619e10i 0.636052i
\(260\) 3.87933e10 + 9.36553e10i 0.526474 + 1.27102i
\(261\) 1.07480e11 + 4.45197e10i 1.43366 + 0.593841i
\(262\) 5.34103e10 1.28944e11i 0.700276 1.69062i
\(263\) 1.06400e10 1.06400e10i 0.137132 0.137132i −0.635208 0.772341i \(-0.719086\pi\)
0.772341 + 0.635208i \(0.219086\pi\)
\(264\) 2.24537e11 2.24537e11i 2.84492 2.84492i
\(265\) −1.31641e10 + 3.17809e10i −0.163977 + 0.395877i
\(266\) 3.29278e10 + 1.36391e10i 0.403270 + 0.167040i
\(267\) 8.61636e10 + 2.08017e11i 1.03758 + 2.50495i
\(268\) 6.12422e10i 0.725178i
\(269\) 3.50984e10 1.45382e10i 0.408698 0.169288i −0.168856 0.985641i \(-0.554007\pi\)
0.577554 + 0.816353i \(0.304007\pi\)
\(270\) −1.85682e11 1.85682e11i −2.12634 2.12634i
\(271\) −4.21331e10 −0.474528 −0.237264 0.971445i \(-0.576251\pi\)
−0.237264 + 0.971445i \(0.576251\pi\)
\(272\) 5.96906e10 1.39130e10i 0.661219 0.154121i
\(273\) −1.18617e11 −1.29246
\(274\) 5.72427e10 + 5.72427e10i 0.613539 + 0.613539i
\(275\) −8.22861e10 + 3.40840e10i −0.867619 + 0.359380i
\(276\) 2.26208e11i 2.34648i
\(277\) 6.59758e10 + 1.59280e11i 0.673327 + 1.62555i 0.775920 + 0.630831i \(0.217286\pi\)
−0.102594 + 0.994723i \(0.532714\pi\)
\(278\) 1.80488e11 + 7.47607e10i 1.81237 + 0.750709i
\(279\) 5.66433e10 1.36749e11i 0.559667 1.35116i
\(280\) −3.37062e10 + 3.37062e10i −0.327717 + 0.327717i
\(281\) −7.43581e10 + 7.43581e10i −0.711459 + 0.711459i −0.966840 0.255381i \(-0.917799\pi\)
0.255381 + 0.966840i \(0.417799\pi\)
\(282\) −4.30093e10 + 1.03834e11i −0.404987 + 0.977725i
\(283\) −1.42670e11 5.90960e10i −1.32219 0.547670i −0.393775 0.919207i \(-0.628831\pi\)
−0.928418 + 0.371537i \(0.878831\pi\)
\(284\) 3.54377e10 + 8.55541e10i 0.323245 + 0.780384i
\(285\) 5.83676e10i 0.524047i
\(286\) 3.15759e11 1.30792e11i 2.79067 1.15593i
\(287\) 3.42109e10 + 3.42109e10i 0.297643 + 0.297643i
\(288\) 1.09184e11 0.935172
\(289\) 1.06366e11 5.24337e10i 0.896941 0.442150i
\(290\) 6.95166e10 0.577162
\(291\) −2.35424e11 2.35424e11i −1.92456 1.92456i
\(292\) −1.11841e11 + 4.63260e10i −0.900280 + 0.372908i
\(293\) 1.00869e11i 0.799566i 0.916610 + 0.399783i \(0.130914\pi\)
−0.916610 + 0.399783i \(0.869086\pi\)
\(294\) 1.13197e11 + 2.73282e11i 0.883635 + 2.13328i
\(295\) 4.43368e10 + 1.83649e10i 0.340851 + 0.141185i
\(296\) −9.08039e10 + 2.19220e11i −0.687530 + 1.65984i
\(297\) −4.09324e11 + 4.09324e11i −3.05256 + 3.05256i
\(298\) 3.94875e9 3.94875e9i 0.0290059 0.0290059i
\(299\) 4.38451e10 1.05851e11i 0.317249 0.765907i
\(300\) 3.12624e11 + 1.29493e11i 2.22831 + 0.922998i
\(301\) −2.57651e10 6.22026e10i −0.180919 0.436776i
\(302\) 4.33037e11i 2.99567i
\(303\) −1.10476e11 + 4.57607e10i −0.752968 + 0.311890i
\(304\) 3.43263e10 + 3.43263e10i 0.230513 + 0.230513i
\(305\) 3.46144e10 0.229038
\(306\) −6.65418e11 + 1.55100e11i −4.33859 + 1.01126i
\(307\) 4.56660e10 0.293407 0.146703 0.989181i \(-0.453134\pi\)
0.146703 + 0.989181i \(0.453134\pi\)
\(308\) 1.57897e11 + 1.57897e11i 0.999758 + 0.999758i
\(309\) 4.99700e11 2.06983e11i 3.11815 1.29158i
\(310\) 8.84473e10i 0.543948i
\(311\) −8.34259e10 2.01408e11i −0.505684 1.22083i −0.946346 0.323156i \(-0.895256\pi\)
0.440662 0.897673i \(-0.354744\pi\)
\(312\) −5.64529e11 2.33836e11i −3.37280 1.39706i
\(313\) −1.12815e11 + 2.72360e11i −0.664384 + 1.60396i 0.126479 + 0.991969i \(0.459632\pi\)
−0.790862 + 0.611994i \(0.790368\pi\)
\(314\) 2.79325e11 2.79325e11i 1.62154 1.62154i
\(315\) 9.93506e10 9.93506e10i 0.568556 0.568556i
\(316\) −6.78567e10 + 1.63821e11i −0.382826 + 0.924223i
\(317\) −1.53883e11 6.37405e10i −0.855903 0.354526i −0.0887989 0.996050i \(-0.528303\pi\)
−0.767104 + 0.641523i \(0.778303\pi\)
\(318\) −1.68620e11 4.07085e11i −0.924672 2.23236i
\(319\) 1.53245e11i 0.828567i
\(320\) 1.27760e11 5.29201e10i 0.681117 0.282128i
\(321\) 9.12767e10 + 9.12767e10i 0.479830 + 0.479830i
\(322\) 1.14487e11 0.593476
\(323\) 7.97589e10 + 4.96058e10i 0.407725 + 0.253584i
\(324\) 1.21724e12 6.13652
\(325\) 1.21189e11 + 1.21189e11i 0.602545 + 0.602545i
\(326\) −1.74365e11 + 7.22245e10i −0.855029 + 0.354165i
\(327\) 1.51100e11i 0.730800i
\(328\) 9.53768e10 + 2.30260e11i 0.454999 + 1.09847i
\(329\) −3.43604e10 1.42325e10i −0.161687 0.0669731i
\(330\) −2.14032e11 + 5.16718e11i −0.993495 + 2.39851i
\(331\) −2.41749e11 + 2.41749e11i −1.10698 + 1.10698i −0.113430 + 0.993546i \(0.536184\pi\)
−0.993546 + 0.113430i \(0.963816\pi\)
\(332\) −6.65195e10 + 6.65195e10i −0.300488 + 0.300488i
\(333\) 2.67648e11 6.46160e11i 1.19279 2.87966i
\(334\) −2.87716e11 1.19176e11i −1.26504 0.523997i
\(335\) 1.94250e10 + 4.68961e10i 0.0842674 + 0.203439i
\(336\) 1.61442e11i 0.691018i
\(337\) −1.42123e11 + 5.88692e10i −0.600246 + 0.248630i −0.662052 0.749458i \(-0.730314\pi\)
0.0618056 + 0.998088i \(0.480314\pi\)
\(338\) −1.76658e11 1.76658e11i −0.736223 0.736223i
\(339\) −4.11746e11 −1.69329
\(340\) −2.17002e11 + 1.55476e11i −0.880662 + 0.630971i
\(341\) −1.94976e11 −0.780885
\(342\) −3.82663e11 3.82663e11i −1.51251 1.51251i
\(343\) −2.17105e11 + 8.99279e10i −0.846928 + 0.350809i
\(344\) 3.46830e11i 1.33538i
\(345\) 7.17494e10 + 1.73218e11i 0.272667 + 0.658276i
\(346\) 7.21311e11 + 2.98777e11i 2.70570 + 1.12074i
\(347\) 1.99400e11 4.81393e11i 0.738315 1.78245i 0.125698 0.992068i \(-0.459883\pi\)
0.612616 0.790381i \(-0.290117\pi\)
\(348\) −4.11686e11 + 4.11686e11i −1.50473 + 1.50473i
\(349\) 5.12534e10 5.12534e10i 0.184930 0.184930i −0.608570 0.793500i \(-0.708256\pi\)
0.793500 + 0.608570i \(0.208256\pi\)
\(350\) −6.55379e10 + 1.58223e11i −0.233446 + 0.563589i
\(351\) 1.02912e12 + 4.26276e11i 3.61896 + 1.49902i
\(352\) −5.50389e10 1.32876e11i −0.191086 0.461322i
\(353\) 4.43984e11i 1.52188i −0.648822 0.760941i \(-0.724738\pi\)
0.648822 0.760941i \(-0.275262\pi\)
\(354\) −5.67915e11 + 2.35238e11i −1.92207 + 0.796147i
\(355\) −5.42726e10 5.42726e10i −0.181365 0.181365i
\(356\) −8.15629e11 −2.69134
\(357\) −7.09073e10 3.04211e11i −0.231038 0.991214i
\(358\) −3.92713e11 −1.26358
\(359\) 2.77743e11 + 2.77743e11i 0.882508 + 0.882508i 0.993789 0.111281i \(-0.0354954\pi\)
−0.111281 + 0.993789i \(0.535495\pi\)
\(360\) 6.68689e11 2.76980e11i 2.09828 0.869135i
\(361\) 2.48294e11i 0.769455i
\(362\) 1.52449e11 + 3.68045e11i 0.466592 + 1.12645i
\(363\) 5.57490e11 + 2.30920e11i 1.68522 + 0.698042i
\(364\) 1.64436e11 3.96983e11i 0.490953 1.18527i
\(365\) 7.09481e10 7.09481e10i 0.209229 0.209229i
\(366\) −3.13517e11 + 3.13517e11i −0.913263 + 0.913263i
\(367\) −1.22131e9 + 2.94850e9i −0.00351422 + 0.00848407i −0.925627 0.378437i \(-0.876462\pi\)
0.922113 + 0.386921i \(0.126462\pi\)
\(368\) 1.44067e11 + 5.96745e10i 0.409496 + 0.169619i
\(369\) −2.81127e11 6.78702e11i −0.789377 1.90572i
\(370\) 4.17927e11i 1.15929i
\(371\) 1.34712e11 5.57994e10i 0.369167 0.152914i
\(372\) 5.23797e11 + 5.23797e11i 1.41814 + 1.41814i
\(373\) 3.33356e11 0.891700 0.445850 0.895108i \(-0.352902\pi\)
0.445850 + 0.895108i \(0.352902\pi\)
\(374\) 5.24189e11 + 7.31625e11i 1.38537 + 1.93360i
\(375\) −6.98422e11 −1.82380
\(376\) −1.35472e11 1.35472e11i −0.349547 0.349547i
\(377\) −2.72439e11 + 1.12848e11i −0.694598 + 0.287712i
\(378\) 1.11308e12i 2.80422i
\(379\) 2.92986e10 + 7.07330e10i 0.0729407 + 0.176095i 0.956145 0.292894i \(-0.0946184\pi\)
−0.883204 + 0.468989i \(0.844618\pi\)
\(380\) −1.95342e11 8.09133e10i −0.480584 0.199065i
\(381\) −1.94237e11 + 4.68931e11i −0.472248 + 1.14011i
\(382\) 7.73538e11 7.73538e11i 1.85865 1.85865i
\(383\) −6.22230e10 + 6.22230e10i −0.147760 + 0.147760i −0.777117 0.629357i \(-0.783318\pi\)
0.629357 + 0.777117i \(0.283318\pi\)
\(384\) −5.67156e11 + 1.36924e12i −1.33110 + 3.21357i
\(385\) −1.70991e11 7.08269e10i −0.396644 0.164295i
\(386\) 5.20015e10 + 1.25543e11i 0.119227 + 0.287839i
\(387\) 1.02230e12i 2.31674i
\(388\) 1.11427e12 4.61545e11i 2.49601 1.03388i
\(389\) 4.81452e11 + 4.81452e11i 1.06606 + 1.06606i 0.997658 + 0.0683974i \(0.0217886\pi\)
0.0683974 + 0.997658i \(0.478211\pi\)
\(390\) 1.07623e12 2.35568
\(391\) 2.97681e11 + 4.91708e10i 0.644103 + 0.106393i
\(392\) −5.04242e11 −1.07858
\(393\) −6.85069e11 6.85069e11i −1.44866 1.44866i
\(394\) 4.92026e11 2.03804e11i 1.02862 0.426069i
\(395\) 1.46968e11i 0.303764i
\(396\) −1.29751e12 3.13247e12i −2.65145 6.40116i
\(397\) 2.36518e11 + 9.79689e10i 0.477867 + 0.197939i 0.608598 0.793479i \(-0.291732\pi\)
−0.130731 + 0.991418i \(0.541732\pi\)
\(398\) 2.34202e11 5.65415e11i 0.467862 1.12952i
\(399\) 1.74943e11 1.74943e11i 0.345556 0.345556i
\(400\) −1.64943e11 + 1.64943e11i −0.322153 + 0.322153i
\(401\) −2.17090e11 + 5.24101e11i −0.419266 + 1.01220i 0.563295 + 0.826256i \(0.309533\pi\)
−0.982561 + 0.185941i \(0.940467\pi\)
\(402\) −6.00698e11 2.48817e11i −1.14720 0.475186i
\(403\) 1.43579e11 + 3.46630e11i 0.271155 + 0.654626i
\(404\) 4.33173e11i 0.808995i
\(405\) −9.32096e11 + 3.86087e11i −1.72152 + 0.713078i
\(406\) −2.08359e11 2.08359e11i −0.380580 0.380580i
\(407\) −9.21293e11 −1.66427
\(408\) 2.62239e11 1.58760e12i 0.468519 2.83642i
\(409\) −7.29366e11 −1.28882 −0.644408 0.764682i \(-0.722896\pi\)
−0.644408 + 0.764682i \(0.722896\pi\)
\(410\) −3.10402e11 3.10402e11i −0.542496 0.542496i
\(411\) 5.19175e11 2.15049e11i 0.897482 0.371749i
\(412\) 1.95931e12i 3.35016i
\(413\) −7.78444e10 1.87933e11i −0.131660 0.317854i
\(414\) −1.60603e12 6.65239e11i −2.68690 1.11295i
\(415\) 2.98383e10 7.20360e10i 0.0493807 0.119216i
\(416\) −1.95697e11 + 1.95697e11i −0.320379 + 0.320379i
\(417\) 9.58919e11 9.58919e11i 1.55299 1.55299i
\(418\) −2.72800e11 + 6.58597e11i −0.437070 + 1.05518i
\(419\) 1.10146e12 + 4.56240e11i 1.74584 + 0.723152i 0.998259 + 0.0589866i \(0.0187869\pi\)
0.747585 + 0.664166i \(0.231213\pi\)
\(420\) 2.69088e11 + 6.49635e11i 0.421961 + 1.01870i
\(421\) 6.68963e11i 1.03785i 0.854821 + 0.518923i \(0.173667\pi\)
−0.854821 + 0.518923i \(0.826333\pi\)
\(422\) −6.81251e11 + 2.82183e11i −1.04569 + 0.433137i
\(423\) 3.99311e11 + 3.99311e11i 0.606428 + 0.606428i
\(424\) 7.51127e11 1.12867
\(425\) −2.38362e11 + 3.83252e11i −0.354395 + 0.569816i
\(426\) 9.83140e11 1.44635
\(427\) −1.03748e11 1.03748e11i −0.151027 0.151027i
\(428\) −4.32015e11 + 1.78946e11i −0.622303 + 0.257766i
\(429\) 2.37249e12i 3.38179i
\(430\) 2.33772e11 + 5.64375e11i 0.329749 + 0.796085i
\(431\) −1.12467e11 4.65853e10i −0.156992 0.0650281i 0.302804 0.953053i \(-0.402077\pi\)
−0.459796 + 0.888025i \(0.652077\pi\)
\(432\) −5.80175e11 + 1.40067e12i −0.801460 + 1.93490i
\(433\) 4.66369e11 4.66369e11i 0.637580 0.637580i −0.312378 0.949958i \(-0.601126\pi\)
0.949958 + 0.312378i \(0.101126\pi\)
\(434\) −2.65100e11 + 2.65100e11i −0.358678 + 0.358678i
\(435\) 1.84668e11 4.45828e11i 0.247281 0.596988i
\(436\) −5.05694e11 2.09465e11i −0.670191 0.277602i
\(437\) 9.14501e10 + 2.20780e11i 0.119955 + 0.289596i
\(438\) 1.28521e12i 1.66856i
\(439\) −4.20372e11 + 1.74124e11i −0.540186 + 0.223752i −0.636058 0.771641i \(-0.719436\pi\)
0.0958719 + 0.995394i \(0.469436\pi\)
\(440\) −6.74166e11 6.74166e11i −0.857492 0.857492i
\(441\) 1.48628e12 1.87122
\(442\) 9.14677e11 1.47067e12i 1.13990 1.83280i
\(443\) 1.74183e11 0.214876 0.107438 0.994212i \(-0.465735\pi\)
0.107438 + 0.994212i \(0.465735\pi\)
\(444\) 2.47502e12 + 2.47502e12i 3.02242 + 3.02242i
\(445\) 6.24566e11 2.58704e11i 0.755020 0.312740i
\(446\) 1.48084e12i 1.77216i
\(447\) −1.48347e10 3.58141e10i −0.0175749 0.0424297i
\(448\) −5.41546e11 2.24316e11i −0.635162 0.263093i
\(449\) 3.04684e11 7.35572e11i 0.353786 0.854116i −0.642360 0.766403i \(-0.722044\pi\)
0.996146 0.0877122i \(-0.0279556\pi\)
\(450\) 1.83875e12 1.83875e12i 2.11381 2.11381i
\(451\) −6.84260e11 + 6.84260e11i −0.778802 + 0.778802i
\(452\) 5.70792e11 1.37801e12i 0.643213 1.55285i
\(453\) −2.77718e12 1.15035e12i −3.09858 1.28347i
\(454\) −2.20583e11 5.32535e11i −0.243681 0.588297i
\(455\) 3.56145e11i 0.389561i
\(456\) 1.17747e12 4.87724e11i 1.27529 0.528241i
\(457\) −2.36459e11 2.36459e11i −0.253590 0.253590i 0.568851 0.822441i \(-0.307388\pi\)
−0.822441 + 0.568851i \(0.807388\pi\)
\(458\) −1.70633e12 −1.81205
\(459\) −4.78055e11 + 2.89415e12i −0.502713 + 3.04343i
\(460\) −6.79184e11 −0.707257
\(461\) 1.20582e12 + 1.20582e12i 1.24345 + 1.24345i 0.958560 + 0.284891i \(0.0919576\pi\)
0.284891 + 0.958560i \(0.408042\pi\)
\(462\) 2.19025e12 9.07230e11i 2.23668 0.926464i
\(463\) 1.12196e11i 0.113465i 0.998389 + 0.0567325i \(0.0180682\pi\)
−0.998389 + 0.0567325i \(0.981932\pi\)
\(464\) −1.53590e11 3.70798e11i −0.153827 0.371370i
\(465\) −5.67236e11 2.34957e11i −0.562633 0.233050i
\(466\) −6.10561e11 + 1.47402e12i −0.599780 + 1.44800i
\(467\) 3.88938e11 3.88938e11i 0.378403 0.378403i −0.492123 0.870526i \(-0.663779\pi\)
0.870526 + 0.492123i \(0.163779\pi\)
\(468\) −4.61344e12 + 4.61344e12i −4.44548 + 4.44548i
\(469\) 8.23380e10 1.98782e11i 0.0785819 0.189714i
\(470\) 3.11757e11 + 1.29134e11i 0.294698 + 0.122068i
\(471\) −1.04937e12 2.53340e12i −0.982504 2.37198i
\(472\) 1.04788e12i 0.971790i
\(473\) 1.24413e12 5.15334e11i 1.14285 0.473384i
\(474\) 1.33115e12 + 1.33115e12i 1.21123 + 1.21123i
\(475\) −3.57473e11 −0.322197
\(476\) 1.11642e12 + 1.84409e11i 0.996769 + 0.164646i
\(477\) −2.21398e12 −1.95813
\(478\) −2.02164e12 2.02164e12i −1.77124 1.77124i
\(479\) −1.12106e12 + 4.64357e11i −0.973012 + 0.403035i −0.811832 0.583891i \(-0.801530\pi\)
−0.161179 + 0.986925i \(0.551530\pi\)
\(480\) 4.52894e11i 0.389413i
\(481\) 6.78431e11 + 1.63788e12i 0.577901 + 1.39518i
\(482\) 9.54241e11 + 3.95260e11i 0.805279 + 0.333557i
\(483\) 3.04129e11 7.34232e11i 0.254270 0.613863i
\(484\) −1.54566e12 + 1.54566e12i −1.28030 + 1.28030i
\(485\) −7.06854e11 + 7.06854e11i −0.580086 + 0.580086i
\(486\) 2.47783e12 5.98201e12i 2.01469 4.86389i
\(487\) 1.79093e12 + 7.41828e11i 1.44277 + 0.597617i 0.960469 0.278387i \(-0.0897997\pi\)
0.482305 + 0.876003i \(0.339800\pi\)
\(488\) −2.89240e11 6.98288e11i −0.230871 0.557372i
\(489\) 1.31011e12i 1.03614i
\(490\) 8.20522e11 3.39872e11i 0.642996 0.266338i
\(491\) −3.46218e11 3.46218e11i −0.268834 0.268834i 0.559797 0.828630i \(-0.310879\pi\)
−0.828630 + 0.559797i \(0.810879\pi\)
\(492\) 3.67648e12 2.82871
\(493\) −4.52274e11 6.31250e11i −0.344818 0.481272i
\(494\) 1.37174e12 1.03634
\(495\) 1.98713e12 + 1.98713e12i 1.48766 + 1.48766i
\(496\) −4.71774e11 + 1.95415e11i −0.349999 + 0.144974i
\(497\) 3.25338e11i 0.239184i
\(498\) 3.82202e11 + 9.22718e11i 0.278459 + 0.672259i
\(499\) −2.20798e12 9.14576e11i −1.59420 0.660340i −0.603621 0.797272i \(-0.706276\pi\)
−0.990580 + 0.136932i \(0.956276\pi\)
\(500\) 9.68203e11 2.33745e12i 0.692790 1.67254i
\(501\) −1.52861e12 + 1.52861e12i −1.08399 + 1.08399i
\(502\) 5.42795e11 5.42795e11i 0.381478 0.381478i
\(503\) 9.61227e11 2.32061e12i 0.669530 1.61639i −0.112869 0.993610i \(-0.536004\pi\)
0.782399 0.622778i \(-0.213996\pi\)
\(504\) −2.83442e12 1.17405e12i −1.95671 0.810496i
\(505\) 1.37395e11 + 3.31702e11i 0.0940071 + 0.226953i
\(506\) 2.28987e12i 1.55287i
\(507\) −1.60224e12 + 6.63671e11i −1.07694 + 0.446084i
\(508\) −1.30013e12 1.30013e12i −0.866164 0.866164i
\(509\) 7.75170e11 0.511879 0.255939 0.966693i \(-0.417615\pi\)
0.255939 + 0.966693i \(0.417615\pi\)
\(510\) 6.43354e11 + 2.76016e12i 0.421099 + 1.80662i
\(511\) −4.25300e11 −0.275931
\(512\) −1.39415e12 1.39415e12i −0.896592 0.896592i
\(513\) −2.14649e12 + 8.89107e11i −1.36836 + 0.566795i
\(514\) 4.17819e12i 2.64030i
\(515\) −6.21460e11 1.50034e12i −0.389297 0.939845i
\(516\) −4.72673e12 1.95787e12i −2.93519 1.21580i
\(517\) 2.84668e11 6.87249e11i 0.175239 0.423065i
\(518\) −1.25264e12 + 1.25264e12i −0.764436 + 0.764436i
\(519\) 3.83227e12 3.83227e12i 2.31848 2.31848i
\(520\) −7.02085e11 + 1.69498e12i −0.421090 + 1.01660i
\(521\) 2.42089e12 + 1.00276e12i 1.43948 + 0.596251i 0.959671 0.281125i \(-0.0907074\pi\)
0.479805 + 0.877375i \(0.340707\pi\)
\(522\) 1.71219e12 + 4.13358e12i 1.00933 + 2.43674i
\(523\) 4.02975e11i 0.235516i −0.993042 0.117758i \(-0.962429\pi\)
0.993042 0.117758i \(-0.0375707\pi\)
\(524\) 3.24245e12 1.34307e12i 1.87881 0.778228i
\(525\) 8.40623e11 + 8.40623e11i 0.482930 + 0.482930i
\(526\) 5.78701e11 0.329624
\(527\) −8.03152e11 + 5.75437e11i −0.453576 + 0.324975i
\(528\) 3.22903e12 1.80809
\(529\) −7.30812e11 7.30812e11i −0.405747 0.405747i
\(530\) −1.22226e12 + 5.06278e11i −0.672858 + 0.278707i
\(531\) 3.08867e12i 1.68596i
\(532\) 3.42973e11 + 8.28009e11i 0.185634 + 0.448160i
\(533\) 1.72036e12 + 7.12598e11i 0.923310 + 0.382448i
\(534\) −3.31377e12 + 8.00015e12i −1.76355 + 4.25758i
\(535\) 2.74056e11 2.74056e11i 0.144626 0.144626i
\(536\) 7.83735e11 7.83735e11i 0.410136 0.410136i
\(537\) −1.04323e12 + 2.51857e12i −0.541370 + 1.30698i
\(538\) 1.34985e12 + 5.59127e11i 0.694649 + 0.287733i
\(539\) −7.49225e11 1.80879e12i −0.382351 0.923078i
\(540\) 6.60324e12i 3.34184i
\(541\) −2.49822e12 + 1.03480e12i −1.25384 + 0.519358i −0.908014 0.418940i \(-0.862402\pi\)
−0.345827 + 0.938298i \(0.612402\pi\)
\(542\) −1.14580e12 1.14580e12i −0.570309 0.570309i
\(543\) 2.76534e12 1.36505
\(544\) −6.18876e11 3.84908e11i −0.302976 0.188435i
\(545\) 4.53673e11 0.220272
\(546\) −3.22575e12 3.22575e12i −1.55333 1.55333i
\(547\) 2.42647e11 1.00508e11i 0.115886 0.0480017i −0.323987 0.946062i \(-0.605023\pi\)
0.439873 + 0.898060i \(0.355023\pi\)
\(548\) 2.03567e12i 0.964261i
\(549\) 8.52548e11 + 2.05823e12i 0.400538 + 0.966984i
\(550\) −3.16464e12 1.31084e12i −1.47466 0.610825i
\(551\) 2.35373e11 5.68241e11i 0.108786 0.262634i
\(552\) 2.89485e12 2.89485e12i 1.32709 1.32709i
\(553\) −4.40502e11 + 4.40502e11i −0.200302 + 0.200302i
\(554\) −2.53737e12 + 6.12575e12i −1.14443 + 2.76290i
\(555\) −2.68028e12 1.11021e12i −1.19912 0.496690i
\(556\) 1.87995e12 + 4.53859e12i 0.834274 + 2.01412i
\(557\) 1.78745e11i 0.0786840i 0.999226 + 0.0393420i \(0.0125262\pi\)
−0.999226 + 0.0393420i \(0.987474\pi\)
\(558\) 5.25924e12 2.17845e12i 2.29651 0.951247i
\(559\) −1.83233e12 1.83233e12i −0.793688 0.793688i
\(560\) −4.84725e11 −0.208281
\(561\) 6.08459e12 1.41823e12i 2.59357 0.604525i
\(562\) −4.04429e12 −1.71013
\(563\) −6.50156e11 6.50156e11i −0.272728 0.272728i 0.557470 0.830197i \(-0.311772\pi\)
−0.830197 + 0.557470i \(0.811772\pi\)
\(564\) −2.61102e12 + 1.08152e12i −1.08656 + 0.450068i
\(565\) 1.23626e12i 0.510377i
\(566\) −2.27278e12 5.48697e12i −0.930856 2.24729i
\(567\) 3.95093e12 + 1.63653e12i 1.60537 + 0.664967i
\(568\) −6.41355e11 + 1.54837e12i −0.258542 + 0.624175i
\(569\) 2.09853e12 2.09853e12i 0.839287 0.839287i −0.149478 0.988765i \(-0.547759\pi\)
0.988765 + 0.149478i \(0.0477594\pi\)
\(570\) −1.58729e12 + 1.58729e12i −0.629823 + 0.629823i
\(571\) −1.96844e11 + 4.75222e11i −0.0774923 + 0.187083i −0.957878 0.287175i \(-0.907284\pi\)
0.880386 + 0.474258i \(0.157284\pi\)
\(572\) 7.94014e12 + 3.28891e12i 3.10132 + 1.28461i
\(573\) −2.90603e12 7.01577e12i −1.12617 2.71882i
\(574\) 1.86071e12i 0.715443i
\(575\) −1.06088e12 + 4.39430e11i −0.404725 + 0.167642i
\(576\) 6.29345e12 + 6.29345e12i 2.38225 + 2.38225i
\(577\) 3.57317e12 1.34203 0.671016 0.741443i \(-0.265858\pi\)
0.671016 + 0.741443i \(0.265858\pi\)
\(578\) 4.31851e12 + 1.46668e12i 1.60938 + 0.546588i
\(579\) 9.43278e11 0.348808
\(580\) 1.23608e12 + 1.23608e12i 0.453544 + 0.453544i
\(581\) −3.05344e11 + 1.26477e11i −0.111172 + 0.0460490i
\(582\) 1.28046e13i 4.62606i
\(583\) 1.11606e12 + 2.69440e12i 0.400109 + 0.965948i
\(584\) −2.02411e12 8.38413e11i −0.720072 0.298264i
\(585\) 2.06943e12 4.99604e12i 0.730548 1.76370i
\(586\) −2.74310e12 + 2.74310e12i −0.960954 + 0.960954i
\(587\) −7.69251e11 + 7.69251e11i −0.267422 + 0.267422i −0.828061 0.560639i \(-0.810556\pi\)
0.560639 + 0.828061i \(0.310556\pi\)
\(588\) −2.84648e12 + 6.87201e12i −0.981996 + 2.37075i
\(589\) −7.22985e11 2.99470e11i −0.247520 0.102526i
\(590\) 7.06296e11 + 1.70515e12i 0.239968 + 0.579333i
\(591\) 3.69689e12i 1.24650i
\(592\) −2.22920e12 + 9.23367e11i −0.745937 + 0.308977i
\(593\) −2.61918e12 2.61918e12i −0.869798 0.869798i 0.122651 0.992450i \(-0.460860\pi\)
−0.992450 + 0.122651i \(0.960860\pi\)
\(594\) −2.22629e13 −7.33740
\(595\) −9.13384e11 + 2.12897e11i −0.298763 + 0.0696375i
\(596\) 1.40426e11 0.0455868
\(597\) −3.00400e12 3.00400e12i −0.967867 0.967867i
\(598\) 4.07094e12 1.68624e12i 1.30179 0.539217i
\(599\) 2.73570e12i 0.868257i 0.900851 + 0.434128i \(0.142944\pi\)
−0.900851 + 0.434128i \(0.857056\pi\)
\(600\) 2.34358e12 + 5.65790e12i 0.738242 + 1.78227i
\(601\) 3.60980e12 + 1.49523e12i 1.12862 + 0.467489i 0.867311 0.497766i \(-0.165846\pi\)
0.261308 + 0.965255i \(0.415846\pi\)
\(602\) 9.90903e11 2.39225e12i 0.307501 0.742374i
\(603\) −2.31009e12 + 2.31009e12i −0.711544 + 0.711544i
\(604\) 7.69985e12 7.69985e12i 2.35405 2.35405i
\(605\) 6.93330e11 1.67385e12i 0.210398 0.507945i
\(606\) −4.24881e12 1.75991e12i −1.27979 0.530108i
\(607\) 9.08154e11 + 2.19248e12i 0.271525 + 0.655520i 0.999549 0.0300318i \(-0.00956085\pi\)
−0.728024 + 0.685552i \(0.759561\pi\)
\(608\) 5.77248e11i 0.171315i
\(609\) −1.88976e12 + 7.82764e11i −0.556710 + 0.230597i
\(610\) 9.41326e11 + 9.41326e11i 0.275268 + 0.275268i
\(611\) −1.43142e12 −0.415510
\(612\) −1.45897e13 9.07399e12i −4.20401 2.61467i
\(613\) 3.03528e12 0.868213 0.434106 0.900862i \(-0.357064\pi\)
0.434106 + 0.900862i \(0.357064\pi\)
\(614\) 1.24187e12 + 1.24187e12i 0.352630 + 0.352630i
\(615\) −2.81526e12 + 1.16612e12i −0.793560 + 0.328703i
\(616\) 4.04130e12i 1.13086i
\(617\) −1.85048e12 4.46746e12i −0.514045 1.24102i −0.941511 0.336984i \(-0.890593\pi\)
0.427465 0.904032i \(-0.359407\pi\)
\(618\) 1.92180e13 + 7.96036e12i 5.29981 + 2.19525i
\(619\) 3.12985e11 7.55613e11i 0.0856871 0.206867i −0.875228 0.483711i \(-0.839289\pi\)
0.960915 + 0.276844i \(0.0892885\pi\)
\(620\) 1.57269e12 1.57269e12i 0.427444 0.427444i
\(621\) −5.27723e12 + 5.27723e12i −1.42395 + 1.42395i
\(622\) 3.20848e12 7.74596e12i 0.859494 2.07500i
\(623\) −2.64739e12 1.09658e12i −0.704080 0.291639i
\(624\) −2.37783e12 5.74059e12i −0.627841 1.51574i
\(625\) 4.62794e11i 0.121319i
\(626\) −1.04747e13 + 4.33877e12i −2.72620 + 1.12923i
\(627\) 3.49907e12 + 3.49907e12i 0.904167 + 0.904167i
\(628\) 9.93339e12 2.54847
\(629\) −3.79502e12 + 2.71903e12i −0.966687 + 0.692605i
\(630\) 5.40361e12 1.36663
\(631\) −3.36535e12 3.36535e12i −0.845081 0.845081i 0.144433 0.989515i \(-0.453864\pi\)
−0.989515 + 0.144433i \(0.953864\pi\)
\(632\) −2.96484e12 + 1.22808e12i −0.739222 + 0.306196i
\(633\) 5.11865e12i 1.26718i
\(634\) −2.45140e12 5.91820e12i −0.602577 1.45475i
\(635\) 1.40795e12 + 5.83193e11i 0.343642 + 0.142341i
\(636\) 4.24016e12 1.02366e13i 1.02760 2.48085i
\(637\) −2.66395e12 + 2.66395e12i −0.641060 + 0.641060i
\(638\) 4.16744e12 4.16744e12i 0.995810 0.995810i
\(639\) 1.89042e12 4.56388e12i 0.448543 1.08288i
\(640\) 4.11109e12 + 1.70287e12i 0.968606 + 0.401210i
\(641\) 8.41779e11 + 2.03223e12i 0.196941 + 0.475458i 0.991241 0.132068i \(-0.0421618\pi\)
−0.794299 + 0.607527i \(0.792162\pi\)
\(642\) 4.96448e12i 1.15336i
\(643\) 7.85858e11 3.25513e11i 0.181299 0.0750964i −0.290188 0.956970i \(-0.593718\pi\)
0.471486 + 0.881873i \(0.343718\pi\)
\(644\) 2.03569e12 + 2.03569e12i 0.466364 + 0.466364i
\(645\) 4.24048e12 0.964710
\(646\) 8.20003e11 + 3.51803e12i 0.185255 + 0.794791i
\(647\) 1.77635e12 0.398528 0.199264 0.979946i \(-0.436145\pi\)
0.199264 + 0.979946i \(0.436145\pi\)
\(648\) 1.55773e13 + 1.55773e13i 3.47061 + 3.47061i
\(649\) 3.75889e12 1.55698e12i 0.831685 0.344495i
\(650\) 6.59140e12i 1.44833i
\(651\) 9.95926e11 + 2.40438e12i 0.217327 + 0.524673i
\(652\) −4.38462e12 1.81617e12i −0.950206 0.393588i
\(653\) −2.24845e12 + 5.42823e12i −0.483920 + 1.16829i 0.473813 + 0.880626i \(0.342877\pi\)
−0.957733 + 0.287660i \(0.907123\pi\)
\(654\) −4.10910e12 + 4.10910e12i −0.878309 + 0.878309i
\(655\) −2.05690e12 + 2.05690e12i −0.436644 + 0.436644i
\(656\) −9.69868e11 + 2.34147e12i −0.204477 + 0.493652i
\(657\) 5.96615e12 + 2.47126e12i 1.24925 + 0.517457i
\(658\) −5.47370e11 1.32147e12i −0.113832 0.274815i
\(659\) 7.28790e12i 1.50528i 0.658431 + 0.752642i \(0.271221\pi\)
−0.658431 + 0.752642i \(0.728779\pi\)
\(660\) −1.29935e13 + 5.38208e12i −2.66550 + 1.10409i
\(661\) 4.11884e11 + 4.11884e11i 0.0839206 + 0.0839206i 0.747821 0.663900i \(-0.231100\pi\)
−0.663900 + 0.747821i \(0.731100\pi\)
\(662\) −1.31485e13 −2.66083
\(663\) −7.00197e12 9.77282e12i −1.40737 1.96431i
\(664\) −1.70254e12 −0.339892
\(665\) −5.25261e11 5.25261e11i −0.104154 0.104154i
\(666\) 2.48507e13 1.02935e13i 4.89446 2.02735i
\(667\) 1.97572e12i 0.386508i
\(668\) −2.99682e12 7.23495e12i −0.582326 1.40586i
\(669\) 9.49704e12 + 3.93380e12i 1.83303 + 0.759268i
\(670\) −7.47067e11 + 1.80358e12i −0.143226 + 0.345779i
\(671\) 2.07509e12 2.07509e12i 0.395172 0.395172i
\(672\) −1.35744e12 + 1.35744e12i −0.256779 + 0.256779i
\(673\) −2.95219e12 + 7.12721e12i −0.554723 + 1.33922i 0.359173 + 0.933271i \(0.383059\pi\)
−0.913896 + 0.405949i \(0.866941\pi\)
\(674\) −5.46591e12 2.26405e12i −1.02022 0.422588i
\(675\) −4.27228e12 1.03142e13i −0.792122 1.91235i
\(676\) 6.28234e12i 1.15707i
\(677\) 1.39718e12 5.78730e11i 0.255625 0.105883i −0.251191 0.967937i \(-0.580822\pi\)
0.506816 + 0.862054i \(0.330822\pi\)
\(678\) −1.11973e13 1.11973e13i −2.03507 2.03507i
\(679\) 4.23725e12 0.765016
\(680\) −4.76672e12 7.87367e11i −0.854928 0.141217i
\(681\) −4.00126e12 −0.712909
\(682\) −5.30232e12 5.30232e12i −0.938503 0.938503i
\(683\) −2.68042e12 + 1.11027e12i −0.471313 + 0.195224i −0.605682 0.795707i \(-0.707099\pi\)
0.134368 + 0.990931i \(0.457099\pi\)
\(684\) 1.36083e13i 2.37712i
\(685\) −6.45680e11 1.55881e12i −0.112049 0.270511i
\(686\) −8.34966e12 3.45854e12i −1.43950 0.596258i
\(687\) −4.53281e12 + 1.09432e13i −0.776358 + 1.87429i
\(688\) 2.49385e12 2.49385e12i 0.424349 0.424349i
\(689\) 3.96826e12 3.96826e12i 0.670832 0.670832i
\(690\) −2.75941e12 + 6.66182e12i −0.463443 + 1.11885i
\(691\) −5.87451e12 2.43330e12i −0.980212 0.406017i −0.165708 0.986175i \(-0.552991\pi\)
−0.814504 + 0.580158i \(0.802991\pi\)
\(692\) 7.51310e12 + 1.81382e13i 1.24549 + 3.00689i
\(693\) 1.19119e13i 1.96192i
\(694\) 1.85139e13 7.66872e12i 3.02957 1.25489i
\(695\) −2.87913e12 2.87913e12i −0.468090 0.468090i
\(696\) −1.05369e13 −1.70205
\(697\) −7.99156e11 + 4.83809e12i −0.128258 + 0.776474i
\(698\) 2.78764e12 0.444516
\(699\) 7.83137e12 + 7.83137e12i 1.24077 + 1.24077i
\(700\) −3.97869e12 + 1.64803e12i −0.626324 + 0.259432i
\(701\) 6.66008e12i 1.04171i 0.853644 + 0.520856i \(0.174387\pi\)
−0.853644 + 0.520856i \(0.825613\pi\)
\(702\) 1.63942e13 + 3.95790e13i 2.54784 + 6.15103i
\(703\) −3.41621e12 1.41504e12i −0.527529 0.218509i
\(704\) 4.48659e12 1.08316e13i 0.688398 1.66194i
\(705\) 1.65634e12 1.65634e12i 0.252522 0.252522i
\(706\) 1.20740e13 1.20740e13i 1.82907 1.82907i
\(707\) 5.82386e11 1.40601e12i 0.0876645 0.211641i
\(708\) −1.42809e13 5.91534e12i −2.13602 0.884770i
\(709\) 1.72876e12 + 4.17360e12i 0.256937 + 0.620302i 0.998733 0.0503245i \(-0.0160255\pi\)
−0.741796 + 0.670626i \(0.766026\pi\)
\(710\) 2.95185e12i 0.435945i
\(711\) 8.73900e12 3.61981e12i 1.28247 0.531218i
\(712\) −1.04378e13 1.04378e13i −1.52213 1.52213i
\(713\) −2.51374e12 −0.364265
\(714\) 6.34461e12 1.02012e13i 0.913614 1.46896i
\(715\) −7.12334e12 −1.01931
\(716\) −6.98285e12 6.98285e12i −0.992943 0.992943i
\(717\) −1.83357e13 + 7.59488e12i −2.59096 + 1.07321i
\(718\) 1.51063e13i 2.12128i
\(719\) −1.51103e12 3.64795e12i −0.210860 0.509060i 0.782696 0.622404i \(-0.213844\pi\)
−0.993556 + 0.113344i \(0.963844\pi\)
\(720\) 6.79977e12 + 2.81656e12i 0.942970 + 0.390591i
\(721\) −2.63422e12 + 6.35958e12i −0.363031 + 0.876435i
\(722\) 6.75226e12 6.75226e12i 0.924766 0.924766i
\(723\) 5.06980e12 5.06980e12i 0.690031 0.690031i
\(724\) −3.83352e12 + 9.25493e12i −0.518530 + 1.25184i
\(725\) 2.73048e12 + 1.13100e12i 0.367043 + 0.152034i
\(726\) 8.88095e12 + 2.14405e13i 1.18644 + 2.86431i
\(727\) 6.53742e12i 0.867964i 0.900922 + 0.433982i \(0.142892\pi\)
−0.900922 + 0.433982i \(0.857108\pi\)
\(728\) 7.18464e12 2.97598e12i 0.948012 0.392679i
\(729\) −1.42641e13 1.42641e13i −1.87055 1.87055i
\(730\) 3.85882e12 0.502923
\(731\) 3.60393e12 5.79459e12i 0.466818 0.750576i
\(732\) −1.11493e13 −1.43532
\(733\) 1.04564e13 + 1.04564e13i 1.33787 + 1.33787i 0.898120 + 0.439751i \(0.144933\pi\)
0.439751 + 0.898120i \(0.355067\pi\)
\(734\) −1.13397e11 + 4.69704e10i −0.0144201 + 0.00597300i
\(735\) 6.16508e12i 0.779194i
\(736\) −7.09592e11 1.71311e12i −0.0891371 0.215196i
\(737\) 3.97588e12 + 1.64686e12i 0.496397 + 0.205614i
\(738\) 1.08119e13 2.61022e13i 1.34168 3.23910i
\(739\) −6.92161e12 + 6.92161e12i −0.853704 + 0.853704i −0.990587 0.136883i \(-0.956291\pi\)
0.136883 + 0.990587i \(0.456291\pi\)
\(740\) 7.43118e12 7.43118e12i 0.910993 0.910993i
\(741\) 3.64398e12 8.79734e12i 0.444011 1.07194i
\(742\) 5.18089e12 + 2.14599e12i 0.627461 + 0.259903i
\(743\) −4.38721e12 1.05917e13i −0.528127 1.27501i −0.932749 0.360527i \(-0.882597\pi\)
0.404622 0.914484i \(-0.367403\pi\)
\(744\) 1.34064e13i 1.60410i
\(745\) −1.07531e11 + 4.45407e10i −0.0127888 + 0.00529729i
\(746\) 9.06550e12 + 9.06550e12i 1.07169 + 1.07169i
\(747\) 5.01831e12 0.589677
\(748\) −3.68841e12 + 2.23297e13i −0.430807 + 2.60811i
\(749\) −1.64283e12 −0.190733
\(750\) −1.89934e13 1.89934e13i −2.19193 2.19193i
\(751\) 1.34885e13 5.58712e12i 1.54733 0.640926i 0.564502 0.825432i \(-0.309068\pi\)
0.982831 + 0.184506i \(0.0590684\pi\)
\(752\) 1.94821e12i 0.222155i
\(753\) −2.03917e12 4.92300e12i −0.231141 0.558023i
\(754\) −1.04778e13 4.34003e12i −1.18058 0.489014i
\(755\) −3.45388e12 + 8.33841e12i −0.386853 + 0.933946i
\(756\) −1.97916e13 + 1.97916e13i −2.20360 + 2.20360i
\(757\) 8.69732e12 8.69732e12i 0.962619 0.962619i −0.0367075 0.999326i \(-0.511687\pi\)
0.999326 + 0.0367075i \(0.0116870\pi\)
\(758\) −1.12680e12 + 2.72033e12i −0.123975 + 0.299302i
\(759\) 1.46855e13 + 6.08295e12i 1.60621 + 0.665313i
\(760\) −1.46438e12 3.53532e12i −0.159218 0.384386