Properties

Label 14.13.d.a.5.4
Level $14$
Weight $13$
Character 14.5
Analytic conductor $12.796$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 14 = 2 \cdot 7 \)
Weight: \( k \) \(=\) \( 13 \)
Character orbit: \([\chi]\) \(=\) 14.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.7959134419\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} + \cdots)\)
Defining polynomial: \(x^{16} + 527434 x^{14} - 31307480 x^{13} + 193554267483 x^{12} - 12267558721140 x^{11} + 36740634631350658 x^{10} - 2684653740993140180 x^{9} + 5051027688394458110177 x^{8} - 329042050982173184619740 x^{7} + 328571000441888143595366884 x^{6} - 20799163177686535050419379920 x^{5} + 15169931128056380497155715556632 x^{4} - 685746033739471361446313307383040 x^{3} + 159607415711477686151635843287775328 x^{2} + 6015487435743293961505549572273215360 x + 735121207672317095821497912841120438336\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 2^{48}\cdot 3^{8}\cdot 7^{7} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 5.4
Root \(222.636 - 385.618i\) of defining polynomial
Character \(\chi\) \(=\) 14.5
Dual form 14.13.d.a.3.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-22.6274 + 39.1918i) q^{2} +(1106.41 - 638.785i) q^{3} +(-1024.00 - 1773.62i) q^{4} +(24805.4 + 14321.4i) q^{5} +57816.2i q^{6} +(-66642.6 - 96953.8i) q^{7} +92681.9 q^{8} +(550372. - 953273. i) q^{9} +O(q^{10})\) \(q+(-22.6274 + 39.1918i) q^{2} +(1106.41 - 638.785i) q^{3} +(-1024.00 - 1773.62i) q^{4} +(24805.4 + 14321.4i) q^{5} +57816.2i q^{6} +(-66642.6 - 96953.8i) q^{7} +92681.9 q^{8} +(550372. - 953273. i) q^{9} +(-1.12257e6 + 648114. i) q^{10} +(-318316. - 551340. i) q^{11} +(-2.26592e6 - 1.30823e6i) q^{12} +3.67661e6i q^{13} +(5.30775e6 - 418032. i) q^{14} +3.65932e7 q^{15} +(-2.09715e6 + 3.63237e6i) q^{16} +(1.12391e7 - 6.48891e6i) q^{17} +(2.49070e7 + 4.31402e7i) q^{18} +(1.90911e7 + 1.10223e7i) q^{19} -5.86605e7i q^{20} +(-1.35667e8 - 6.47002e7i) q^{21} +2.88107e7 q^{22} +(5.48310e7 - 9.49701e7i) q^{23} +(1.02544e8 - 5.92038e7i) q^{24} +(2.88136e8 + 4.99066e8i) q^{25} +(-1.44093e8 - 8.31922e7i) q^{26} -7.27325e8i q^{27} +(-1.03717e8 + 2.17479e8i) q^{28} -1.71855e8 q^{29} +(-8.28011e8 + 1.43416e9i) q^{30} +(-1.21966e8 + 7.04171e7i) q^{31} +(-9.49063e7 - 1.64382e8i) q^{32} +(-7.04375e8 - 4.06671e8i) q^{33} +5.87309e8i q^{34} +(-2.64583e8 - 3.35940e9i) q^{35} -2.25432e9 q^{36} +(3.10074e8 - 5.37063e8i) q^{37} +(-8.63966e8 + 4.98811e8i) q^{38} +(2.34856e9 + 4.06783e9i) q^{39} +(2.29901e9 + 1.32734e9i) q^{40} +2.48871e9i q^{41} +(5.60550e9 - 3.85303e9i) q^{42} -1.21787e10 q^{43} +(-6.51912e8 + 1.12914e9i) q^{44} +(2.73044e10 - 1.57642e10i) q^{45} +(2.48137e9 + 4.29786e9i) q^{46} +(-5.32001e9 - 3.07151e9i) q^{47} +5.35852e9i q^{48} +(-4.95880e9 + 1.29225e10i) q^{49} -2.60791e10 q^{50} +(8.29003e9 - 1.43588e10i) q^{51} +(6.52091e9 - 3.76485e9i) q^{52} +(1.86222e10 + 3.22546e10i) q^{53} +(2.85052e10 + 1.64575e10i) q^{54} -1.82350e10i q^{55} +(-6.17657e9 - 8.98587e9i) q^{56} +2.81635e10 q^{57} +(3.88863e9 - 6.73531e9i) q^{58} +(-5.05356e10 + 2.91767e10i) q^{59} +(-3.74715e10 - 6.49025e10i) q^{60} +(-3.42134e10 - 1.97531e10i) q^{61} -6.37343e9i q^{62} +(-1.29102e11 + 1.01679e10i) q^{63} +8.58993e9 q^{64} +(-5.26543e10 + 9.11999e10i) q^{65} +(3.18764e10 - 1.84038e10i) q^{66} +(7.43899e9 + 1.28847e10i) q^{67} +(-2.30177e10 - 1.32893e10i) q^{68} -1.40101e11i q^{69} +(1.37648e11 + 6.56450e10i) q^{70} +3.43756e10 q^{71} +(5.10095e10 - 8.83511e10i) q^{72} +(-2.13758e11 + 1.23413e11i) q^{73} +(1.40323e10 + 2.43047e10i) q^{74} +(6.37592e11 + 3.68114e11i) q^{75} -4.51472e10i q^{76} +(-3.22411e10 + 6.76047e10i) q^{77} -2.12568e11 q^{78} +(1.71746e11 - 2.97472e11i) q^{79} +(-1.04042e11 + 6.00684e10i) q^{80} +(-1.72114e11 - 2.98110e11i) q^{81} +(-9.75370e10 - 5.63130e10i) q^{82} -3.79152e11i q^{83} +(2.41691e10 + 3.06874e11i) q^{84} +3.71721e11 q^{85} +(2.75573e11 - 4.77306e11i) q^{86} +(-1.90142e11 + 1.09778e11i) q^{87} +(-2.95021e10 - 5.10992e10i) q^{88} +(-5.04902e11 - 2.91505e11i) q^{89} +1.42681e12i q^{90} +(3.56461e11 - 2.45019e11i) q^{91} -2.24588e11 q^{92} +(-8.99628e10 + 1.55820e11i) q^{93} +(2.40756e11 - 1.39001e11i) q^{94} +(3.15709e11 + 5.46825e11i) q^{95} +(-2.10010e11 - 1.21249e11i) q^{96} +5.78167e11i q^{97} +(-3.94252e11 - 4.86748e11i) q^{98} -7.00770e11 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 16384q^{4} + 18144q^{5} - 469720q^{7} + 2362248q^{9} + O(q^{10}) \) \( 16q - 16384q^{4} + 18144q^{5} - 469720q^{7} + 2362248q^{9} - 2290176q^{10} + 2072088q^{11} - 11501568q^{14} - 27163728q^{15} - 33554432q^{16} - 101561040q^{17} - 4592640q^{18} + 174931848q^{19} - 323731368q^{21} + 62776320q^{22} + 25630560q^{23} + 242221056q^{24} + 521205808q^{25} - 1434682368q^{26} + 350863360q^{28} + 532360944q^{29} - 2151917568q^{30} + 4583818344q^{31} + 6054957720q^{33} - 1612540440q^{35} - 9675767808q^{36} + 5764524040q^{37} - 149506560q^{38} + 10526083272q^{39} + 4690280448q^{40} - 12685086720q^{42} - 66929432000q^{43} + 4243636224q^{44} + 57253352184q^{45} + 7203213312q^{46} + 18116171640q^{47} - 9977452064q^{49} - 99248080896q^{50} - 23299256376q^{51} + 8269578240q^{52} + 39134161800q^{53} + 105152205312q^{54} + 3623878656q^{56} - 328243960080q^{57} + 29637396480q^{58} + 201845459088q^{59} + 27815657472q^{60} + 336780254328q^{61} - 389095094520q^{63} + 137438953472q^{64} + 158322703896q^{65} + 268884080640q^{66} + 107767119920q^{67} + 207997009920q^{68} - 6077815296q^{70} - 1150259029344q^{71} - 9405726720q^{72} - 738414283320q^{73} + 4902778368q^{74} + 1537028640000q^{75} - 321203352960q^{77} - 786088888320q^{78} + 227632064768q^{79} - 76101451776q^{80} - 391984178400q^{81} - 302578053120q^{82} - 32685686784q^{84} + 710209696080q^{85} - 38105192448q^{86} + 1957017683880q^{87} - 64282951680q^{88} - 2485007442792q^{89} + 1803248333904q^{91} - 104982773760q^{92} - 458668768680q^{93} - 2021298693120q^{94} - 186503862960q^{95} - 496068722688q^{96} - 356371660800q^{98} + 3921180354576q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −22.6274 + 39.1918i −0.353553 + 0.612372i
\(3\) 1106.41 638.785i 1.51771 0.876248i 0.517923 0.855427i \(-0.326705\pi\)
0.999783 0.0208214i \(-0.00662814\pi\)
\(4\) −1024.00 1773.62i −0.250000 0.433013i
\(5\) 24805.4 + 14321.4i 1.58755 + 0.916571i 0.993710 + 0.111986i \(0.0357213\pi\)
0.593838 + 0.804585i \(0.297612\pi\)
\(6\) 57816.2i 1.23920i
\(7\) −66642.6 96953.8i −0.566453 0.824094i
\(8\) 92681.9 0.353553
\(9\) 550372. 953273.i 1.03562 1.79375i
\(10\) −1.12257e6 + 648114.i −1.12257 + 0.648114i
\(11\) −318316. 551340.i −0.179681 0.311217i 0.762090 0.647471i \(-0.224173\pi\)
−0.941771 + 0.336254i \(0.890840\pi\)
\(12\) −2.26592e6 1.30823e6i −0.758853 0.438124i
\(13\) 3.67661e6i 0.761706i 0.924636 + 0.380853i \(0.124370\pi\)
−0.924636 + 0.380853i \(0.875630\pi\)
\(14\) 5.30775e6 418032.i 0.704924 0.0555190i
\(15\) 3.65932e7 3.21258
\(16\) −2.09715e6 + 3.63237e6i −0.125000 + 0.216506i
\(17\) 1.12391e7 6.48891e6i 0.465627 0.268830i −0.248780 0.968560i \(-0.580030\pi\)
0.714408 + 0.699730i \(0.246696\pi\)
\(18\) 2.49070e7 + 4.31402e7i 0.732296 + 1.26837i
\(19\) 1.90911e7 + 1.10223e7i 0.405798 + 0.234288i 0.688983 0.724778i \(-0.258058\pi\)
−0.283184 + 0.959065i \(0.591391\pi\)
\(20\) 5.86605e7i 0.916571i
\(21\) −1.35667e8 6.47002e7i −1.58182 0.754379i
\(22\) 2.88107e7 0.254108
\(23\) 5.48310e7 9.49701e7i 0.370390 0.641534i −0.619236 0.785205i \(-0.712557\pi\)
0.989625 + 0.143671i \(0.0458907\pi\)
\(24\) 1.02544e8 5.92038e7i 0.536590 0.309801i
\(25\) 2.88136e8 + 4.99066e8i 1.18020 + 2.04417i
\(26\) −1.44093e8 8.31922e7i −0.466448 0.269304i
\(27\) 7.27325e8i 1.87735i
\(28\) −1.03717e8 + 2.17479e8i −0.215230 + 0.451305i
\(29\) −1.71855e8 −0.288917 −0.144459 0.989511i \(-0.546144\pi\)
−0.144459 + 0.989511i \(0.546144\pi\)
\(30\) −8.28011e8 + 1.43416e9i −1.13582 + 1.96729i
\(31\) −1.21966e8 + 7.04171e7i −0.137426 + 0.0793429i −0.567137 0.823624i \(-0.691949\pi\)
0.429711 + 0.902967i \(0.358616\pi\)
\(32\) −9.49063e7 1.64382e8i −0.0883883 0.153093i
\(33\) −7.04375e8 4.06671e8i −0.545407 0.314891i
\(34\) 5.87309e8i 0.380183i
\(35\) −2.64583e8 3.35940e9i −0.143931 1.82748i
\(36\) −2.25432e9 −1.03562
\(37\) 3.10074e8 5.37063e8i 0.120852 0.209322i −0.799252 0.600996i \(-0.794771\pi\)
0.920104 + 0.391674i \(0.128104\pi\)
\(38\) −8.63966e8 + 4.98811e8i −0.286943 + 0.165666i
\(39\) 2.34856e9 + 4.06783e9i 0.667444 + 1.15605i
\(40\) 2.29901e9 + 1.32734e9i 0.561283 + 0.324057i
\(41\) 2.48871e9i 0.523927i 0.965078 + 0.261963i \(0.0843700\pi\)
−0.965078 + 0.261963i \(0.915630\pi\)
\(42\) 5.60550e9 3.85303e9i 1.02122 0.701950i
\(43\) −1.21787e10 −1.92660 −0.963298 0.268436i \(-0.913493\pi\)
−0.963298 + 0.268436i \(0.913493\pi\)
\(44\) −6.51912e8 + 1.12914e9i −0.0898406 + 0.155608i
\(45\) 2.73044e10 1.57642e10i 3.28820 1.89844i
\(46\) 2.48137e9 + 4.29786e9i 0.261905 + 0.453633i
\(47\) −5.32001e9 3.07151e9i −0.493543 0.284947i 0.232500 0.972596i \(-0.425309\pi\)
−0.726043 + 0.687649i \(0.758643\pi\)
\(48\) 5.35852e9i 0.438124i
\(49\) −4.95880e9 + 1.29225e10i −0.358262 + 0.933621i
\(50\) −2.60791e10 −1.66906
\(51\) 8.29003e9 1.43588e10i 0.471124 0.816011i
\(52\) 6.52091e9 3.76485e9i 0.329828 0.190427i
\(53\) 1.86222e10 + 3.22546e10i 0.840187 + 1.45525i 0.889736 + 0.456475i \(0.150888\pi\)
−0.0495487 + 0.998772i \(0.515778\pi\)
\(54\) 2.85052e10 + 1.64575e10i 1.14964 + 0.663744i
\(55\) 1.82350e10i 0.658762i
\(56\) −6.17657e9 8.98587e9i −0.200271 0.291361i
\(57\) 2.81635e10 0.821177
\(58\) 3.88863e9 6.73531e9i 0.102148 0.176925i
\(59\) −5.05356e10 + 2.91767e10i −1.19808 + 0.691711i −0.960126 0.279566i \(-0.909809\pi\)
−0.237951 + 0.971277i \(0.576476\pi\)
\(60\) −3.74715e10 6.49025e10i −0.803144 1.39109i
\(61\) −3.42134e10 1.97531e10i −0.664075 0.383404i 0.129753 0.991546i \(-0.458582\pi\)
−0.793828 + 0.608143i \(0.791915\pi\)
\(62\) 6.37343e9i 0.112208i
\(63\) −1.29102e11 + 1.01679e10i −2.06485 + 0.162625i
\(64\) 8.58993e9 0.125000
\(65\) −5.26543e10 + 9.11999e10i −0.698158 + 1.20924i
\(66\) 3.18764e10 1.84038e10i 0.385661 0.222661i
\(67\) 7.43899e9 + 1.28847e10i 0.0822366 + 0.142438i 0.904210 0.427087i \(-0.140460\pi\)
−0.821974 + 0.569525i \(0.807127\pi\)
\(68\) −2.30177e10 1.32893e10i −0.232814 0.134415i
\(69\) 1.40101e11i 1.29821i
\(70\) 1.37648e11 + 6.56450e10i 1.16999 + 0.557974i
\(71\) 3.43756e10 0.268349 0.134175 0.990958i \(-0.457162\pi\)
0.134175 + 0.990958i \(0.457162\pi\)
\(72\) 5.10095e10 8.83511e10i 0.366148 0.634187i
\(73\) −2.13758e11 + 1.23413e11i −1.41249 + 0.815501i −0.995622 0.0934674i \(-0.970205\pi\)
−0.416866 + 0.908968i \(0.636872\pi\)
\(74\) 1.40323e10 + 2.43047e10i 0.0854554 + 0.148013i
\(75\) 6.37592e11 + 3.68114e11i 3.58241 + 2.06831i
\(76\) 4.51472e10i 0.234288i
\(77\) −3.22411e10 + 6.76047e10i −0.154691 + 0.324364i
\(78\) −2.12568e11 −0.943908
\(79\) 1.71746e11 2.97472e11i 0.706518 1.22372i −0.259623 0.965710i \(-0.583598\pi\)
0.966141 0.258015i \(-0.0830683\pi\)
\(80\) −1.04042e11 + 6.00684e10i −0.396887 + 0.229143i
\(81\) −1.72114e11 2.98110e11i −0.609405 1.05552i
\(82\) −9.75370e10 5.63130e10i −0.320838 0.185236i
\(83\) 3.79152e11i 1.15970i −0.814724 0.579848i \(-0.803112\pi\)
0.814724 0.579848i \(-0.196888\pi\)
\(84\) 2.41691e10 + 3.06874e11i 0.0687993 + 0.873543i
\(85\) 3.71721e11 0.985608
\(86\) 2.75573e11 4.77306e11i 0.681154 1.17979i
\(87\) −1.90142e11 + 1.09778e11i −0.438492 + 0.253163i
\(88\) −2.95021e10 5.10992e10i −0.0635269 0.110032i
\(89\) −5.04902e11 2.91505e11i −1.01594 0.586551i −0.103012 0.994680i \(-0.532848\pi\)
−0.912924 + 0.408129i \(0.866181\pi\)
\(90\) 1.42681e12i 2.68480i
\(91\) 3.56461e11 2.45019e11i 0.627718 0.431471i
\(92\) −2.24588e11 −0.370390
\(93\) −8.99628e10 + 1.55820e11i −0.139048 + 0.240839i
\(94\) 2.40756e11 1.39001e11i 0.348988 0.201488i
\(95\) 3.15709e11 + 5.46825e11i 0.429483 + 0.743886i
\(96\) −2.10010e11 1.21249e11i −0.268295 0.154900i
\(97\) 5.78167e11i 0.694101i 0.937846 + 0.347051i \(0.112817\pi\)
−0.937846 + 0.347051i \(0.887183\pi\)
\(98\) −3.94252e11 4.86748e11i −0.445059 0.549475i
\(99\) −7.00770e11 −0.744327
\(100\) 5.90102e11 1.02209e12i 0.590102 1.02209i
\(101\) −4.29889e11 + 2.48196e11i −0.404975 + 0.233812i −0.688628 0.725115i \(-0.741787\pi\)
0.283654 + 0.958927i \(0.408453\pi\)
\(102\) 3.75164e11 + 6.49803e11i 0.333135 + 0.577007i
\(103\) 8.29598e11 + 4.78969e11i 0.694776 + 0.401129i 0.805399 0.592734i \(-0.201951\pi\)
−0.110623 + 0.993862i \(0.535285\pi\)
\(104\) 3.40755e11i 0.269304i
\(105\) −2.43867e12 3.54786e12i −1.81977 2.64746i
\(106\) −1.68549e12 −1.18820
\(107\) −5.89729e11 + 1.02144e12i −0.392961 + 0.680629i −0.992839 0.119463i \(-0.961883\pi\)
0.599877 + 0.800092i \(0.295216\pi\)
\(108\) −1.29000e12 + 7.44781e11i −0.812918 + 0.469338i
\(109\) 2.93367e11 + 5.08126e11i 0.174925 + 0.302979i 0.940135 0.340801i \(-0.110698\pi\)
−0.765210 + 0.643780i \(0.777365\pi\)
\(110\) 7.14662e11 + 4.12610e11i 0.403408 + 0.232908i
\(111\) 7.92282e11i 0.423586i
\(112\) 4.91932e11 3.87440e10i 0.249228 0.0196289i
\(113\) 1.86756e12 0.897026 0.448513 0.893776i \(-0.351954\pi\)
0.448513 + 0.893776i \(0.351954\pi\)
\(114\) −6.37266e11 + 1.10378e12i −0.290330 + 0.502866i
\(115\) 2.72021e12 1.57052e12i 1.17602 0.678977i
\(116\) 1.75979e11 + 3.04805e11i 0.0722294 + 0.125105i
\(117\) 3.50481e12 + 2.02350e12i 1.36631 + 0.788840i
\(118\) 2.64078e12i 0.978226i
\(119\) −1.37813e12 6.57237e11i −0.485297 0.231441i
\(120\) 3.39153e12 1.13582
\(121\) 1.36656e12 2.36696e12i 0.435429 0.754186i
\(122\) 1.54832e12 8.93923e11i 0.469572 0.271107i
\(123\) 1.58975e12 + 2.75353e12i 0.459090 + 0.795167i
\(124\) 2.49787e11 + 1.44214e11i 0.0687130 + 0.0396715i
\(125\) 9.51319e12i 2.49382i
\(126\) 2.52274e12 5.28981e12i 0.630448 1.32195i
\(127\) −2.41625e12 −0.575864 −0.287932 0.957651i \(-0.592968\pi\)
−0.287932 + 0.957651i \(0.592968\pi\)
\(128\) −1.94368e11 + 3.36655e11i −0.0441942 + 0.0765466i
\(129\) −1.34746e13 + 7.77958e12i −2.92401 + 1.68818i
\(130\) −2.38286e12 4.12724e12i −0.493672 0.855065i
\(131\) −9.92695e11 5.73133e11i −0.196421 0.113404i 0.398564 0.917141i \(-0.369509\pi\)
−0.594985 + 0.803737i \(0.702842\pi\)
\(132\) 1.66573e12i 0.314891i
\(133\) −2.03632e11 2.58551e12i −0.0367906 0.467129i
\(134\) −6.73301e11 −0.116300
\(135\) 1.04163e13 1.80416e13i 1.72073 2.98039i
\(136\) 1.04166e12 6.01404e11i 0.164624 0.0950458i
\(137\) −9.34422e11 1.61847e12i −0.141325 0.244782i 0.786671 0.617373i \(-0.211803\pi\)
−0.927996 + 0.372590i \(0.878470\pi\)
\(138\) 5.49081e12 + 3.17012e12i 0.794991 + 0.458988i
\(139\) 9.31648e12i 1.29170i 0.763462 + 0.645852i \(0.223498\pi\)
−0.763462 + 0.645852i \(0.776502\pi\)
\(140\) −5.68736e12 + 3.90929e12i −0.755341 + 0.519194i
\(141\) −7.84814e12 −0.998739
\(142\) −7.77831e11 + 1.34724e12i −0.0948757 + 0.164330i
\(143\) 2.02706e12 1.17032e12i 0.237056 0.136864i
\(144\) 2.30843e12 + 3.99832e12i 0.258906 + 0.448438i
\(145\) −4.26293e12 2.46121e12i −0.458670 0.264813i
\(146\) 1.11701e13i 1.15329i
\(147\) 2.76825e12 + 1.74652e13i 0.274348 + 1.73089i
\(148\) −1.27006e12 −0.120852
\(149\) 3.49144e12 6.04735e12i 0.319071 0.552647i −0.661224 0.750189i \(-0.729963\pi\)
0.980294 + 0.197542i \(0.0632959\pi\)
\(150\) −2.88541e13 + 1.66589e13i −2.53315 + 1.46251i
\(151\) −8.25729e12 1.43021e13i −0.696588 1.20653i −0.969642 0.244527i \(-0.921367\pi\)
0.273054 0.961999i \(-0.411966\pi\)
\(152\) 1.76940e12 + 1.02157e12i 0.143471 + 0.0828332i
\(153\) 1.42853e13i 1.11363i
\(154\) −1.92002e12 2.79331e12i −0.143940 0.209409i
\(155\) −4.03389e12 −0.290894
\(156\) 4.80986e12 8.33092e12i 0.333722 0.578023i
\(157\) 3.31570e12 1.91432e12i 0.221400 0.127825i −0.385199 0.922834i \(-0.625867\pi\)
0.606598 + 0.795009i \(0.292534\pi\)
\(158\) 7.77232e12 + 1.34621e13i 0.499584 + 0.865304i
\(159\) 4.12075e13 + 2.37912e13i 2.55032 + 1.47243i
\(160\) 5.43677e12i 0.324057i
\(161\) −1.28618e13 + 1.01298e12i −0.738493 + 0.0581629i
\(162\) 1.55780e13 0.861829
\(163\) 4.36203e12 7.55526e12i 0.232575 0.402832i −0.725990 0.687705i \(-0.758618\pi\)
0.958565 + 0.284873i \(0.0919515\pi\)
\(164\) 4.41402e12 2.54844e12i 0.226867 0.130982i
\(165\) −1.16482e13 2.01753e13i −0.577239 0.999808i
\(166\) 1.48597e13 + 8.57922e12i 0.710166 + 0.410015i
\(167\) 2.37328e13i 1.09408i 0.837105 + 0.547042i \(0.184246\pi\)
−0.837105 + 0.547042i \(0.815754\pi\)
\(168\) −1.25738e13 5.99654e12i −0.559258 0.266713i
\(169\) 9.78062e12 0.419804
\(170\) −8.41110e12 + 1.45684e13i −0.348465 + 0.603559i
\(171\) 2.10145e13 1.21327e13i 0.840508 0.485267i
\(172\) 1.24710e13 + 2.16004e13i 0.481649 + 0.834240i
\(173\) −2.93747e12 1.69595e12i −0.109571 0.0632610i 0.444213 0.895921i \(-0.353483\pi\)
−0.553784 + 0.832660i \(0.686817\pi\)
\(174\) 9.93600e12i 0.358027i
\(175\) 2.91842e13 6.11950e13i 1.01606 2.13053i
\(176\) 2.67023e12 0.0898406
\(177\) −3.72753e13 + 6.45627e13i −1.21222 + 2.09963i
\(178\) 2.28492e13 1.31920e13i 0.718376 0.414754i
\(179\) 1.86704e13 + 3.23381e13i 0.567591 + 0.983097i 0.996803 + 0.0798933i \(0.0254579\pi\)
−0.429212 + 0.903204i \(0.641209\pi\)
\(180\) −5.59195e13 3.22851e13i −1.64410 0.949221i
\(181\) 6.27891e13i 1.78572i −0.450336 0.892859i \(-0.648696\pi\)
0.450336 0.892859i \(-0.351304\pi\)
\(182\) 1.53694e12 + 1.95145e13i 0.0422892 + 0.536945i
\(183\) −5.04719e13 −1.34383
\(184\) 5.08184e12 8.80201e12i 0.130953 0.226817i
\(185\) 1.53830e13 8.88139e12i 0.383717 0.221539i
\(186\) −4.07125e12 7.05162e12i −0.0983219 0.170299i
\(187\) −7.15518e12 4.13105e12i −0.167329 0.0966074i
\(188\) 1.25809e13i 0.284947i
\(189\) −7.05169e13 + 4.84709e13i −1.54712 + 1.06343i
\(190\) −2.85747e13 −0.607380
\(191\) 2.56179e13 4.43715e13i 0.527647 0.913912i −0.471833 0.881688i \(-0.656408\pi\)
0.999481 0.0322242i \(-0.0102591\pi\)
\(192\) 9.50397e12 5.48712e12i 0.189713 0.109531i
\(193\) 1.20238e13 + 2.08258e13i 0.232646 + 0.402955i 0.958586 0.284803i \(-0.0919282\pi\)
−0.725940 + 0.687758i \(0.758595\pi\)
\(194\) −2.26594e13 1.30824e13i −0.425048 0.245402i
\(195\) 1.34539e14i 2.44704i
\(196\) 2.79975e13 4.43762e12i 0.493835 0.0782734i
\(197\) −4.36796e13 −0.747277 −0.373638 0.927574i \(-0.621890\pi\)
−0.373638 + 0.927574i \(0.621890\pi\)
\(198\) 1.58566e13 2.74644e13i 0.263159 0.455806i
\(199\) 4.77602e13 2.75744e13i 0.769038 0.444004i −0.0634936 0.997982i \(-0.520224\pi\)
0.832531 + 0.553978i \(0.186891\pi\)
\(200\) 2.67050e13 + 4.62544e13i 0.417265 + 0.722725i
\(201\) 1.64611e13 + 9.50384e12i 0.249622 + 0.144119i
\(202\) 2.24642e13i 0.330660i
\(203\) 1.14529e13 + 1.66620e13i 0.163658 + 0.238095i
\(204\) −3.39560e13 −0.471124
\(205\) −3.56418e13 + 6.17334e13i −0.480216 + 0.831759i
\(206\) −3.75433e13 + 2.16757e13i −0.491281 + 0.283641i
\(207\) −6.03549e13 1.04538e14i −0.767168 1.32877i
\(208\) −1.33548e13 7.71041e12i −0.164914 0.0952133i
\(209\) 1.40343e13i 0.168388i
\(210\) 1.94228e14 1.52972e13i 2.26462 0.178359i
\(211\) 8.39869e13 0.951737 0.475868 0.879516i \(-0.342134\pi\)
0.475868 + 0.879516i \(0.342134\pi\)
\(212\) 3.81383e13 6.60575e13i 0.420094 0.727624i
\(213\) 3.80334e13 2.19586e13i 0.407275 0.235140i
\(214\) −2.66881e13 4.62251e13i −0.277866 0.481277i
\(215\) −3.02098e14 1.74416e14i −3.05856 1.76586i
\(216\) 6.74099e13i 0.663744i
\(217\) 1.49554e13 + 7.13229e12i 0.143231 + 0.0683079i
\(218\) −2.65525e13 −0.247381
\(219\) −1.57669e14 + 2.73091e14i −1.42916 + 2.47538i
\(220\) −3.23419e13 + 1.86726e13i −0.285252 + 0.164691i
\(221\) 2.38572e13 + 4.13218e13i 0.204770 + 0.354671i
\(222\) 3.10510e13 + 1.79273e13i 0.259392 + 0.149760i
\(223\) 3.32095e13i 0.270043i −0.990843 0.135022i \(-0.956890\pi\)
0.990843 0.135022i \(-0.0431104\pi\)
\(224\) −9.61271e12 + 2.01564e13i −0.0760953 + 0.159560i
\(225\) 6.34328e14 4.88899
\(226\) −4.22582e13 + 7.31933e13i −0.317147 + 0.549314i
\(227\) 1.04402e14 6.02764e13i 0.763050 0.440547i −0.0673399 0.997730i \(-0.521451\pi\)
0.830390 + 0.557183i \(0.188118\pi\)
\(228\) −2.88394e13 4.99513e13i −0.205294 0.355580i
\(229\) 1.87026e14 + 1.07979e14i 1.29684 + 0.748734i 0.979858 0.199696i \(-0.0639955\pi\)
0.316987 + 0.948430i \(0.397329\pi\)
\(230\) 1.42147e14i 0.960219i
\(231\) 7.51309e12 + 9.53935e13i 0.0494478 + 0.627837i
\(232\) −1.59278e13 −0.102148
\(233\) 6.88065e13 1.19176e14i 0.430025 0.744826i −0.566850 0.823821i \(-0.691838\pi\)
0.996875 + 0.0789955i \(0.0251713\pi\)
\(234\) −1.58610e14 + 9.15733e13i −0.966128 + 0.557794i
\(235\) −8.79768e13 1.52380e14i −0.522349 0.904735i
\(236\) 1.03497e14 + 5.97539e13i 0.599039 + 0.345855i
\(237\) 4.38834e14i 2.47634i
\(238\) 5.69418e13 3.91398e13i 0.313307 0.215356i
\(239\) −8.08731e13 −0.433927 −0.216963 0.976180i \(-0.569615\pi\)
−0.216963 + 0.976180i \(0.569615\pi\)
\(240\) −7.67416e13 + 1.32920e14i −0.401572 + 0.695543i
\(241\) −2.06069e14 + 1.18974e14i −1.05174 + 0.607224i −0.923137 0.384472i \(-0.874383\pi\)
−0.128606 + 0.991696i \(0.541050\pi\)
\(242\) 6.18436e13 + 1.07116e14i 0.307895 + 0.533290i
\(243\) −4.61116e13 2.66225e13i −0.223961 0.129304i
\(244\) 8.09087e13i 0.383404i
\(245\) −3.08074e14 + 2.49532e14i −1.42449 + 1.15380i
\(246\) −1.43888e14 −0.649251
\(247\) −4.05246e13 + 7.01907e13i −0.178458 + 0.309099i
\(248\) −1.13040e13 + 6.52639e12i −0.0485874 + 0.0280520i
\(249\) −2.42196e14 4.19497e14i −1.01618 1.76008i
\(250\) −3.72839e14 2.15259e14i −1.52715 0.881700i
\(251\) 1.50728e14i 0.602771i 0.953502 + 0.301385i \(0.0974491\pi\)
−0.953502 + 0.301385i \(0.902551\pi\)
\(252\) 1.50234e14 + 2.18565e14i 0.586631 + 0.853450i
\(253\) −6.98144e13 −0.266208
\(254\) 5.46735e13 9.46974e13i 0.203599 0.352643i
\(255\) 4.11276e14 2.37450e14i 1.49586 0.863637i
\(256\) −8.79609e12 1.52353e13i −0.0312500 0.0541266i
\(257\) −1.68972e14 9.75562e13i −0.586431 0.338576i 0.177254 0.984165i \(-0.443279\pi\)
−0.763685 + 0.645589i \(0.776612\pi\)
\(258\) 7.04127e14i 2.38744i
\(259\) −7.27345e13 + 5.72849e12i −0.240958 + 0.0189776i
\(260\) 2.15672e14 0.698158
\(261\) −9.45841e13 + 1.63825e14i −0.299209 + 0.518246i
\(262\) 4.49243e13 2.59370e13i 0.138891 0.0801886i
\(263\) 1.44093e14 + 2.49577e14i 0.435421 + 0.754171i 0.997330 0.0730281i \(-0.0232663\pi\)
−0.561909 + 0.827199i \(0.689933\pi\)
\(264\) −6.52828e13 3.76911e13i −0.192830 0.111331i
\(265\) 1.06679e15i 3.08037i
\(266\) 1.05939e14 + 5.05228e13i 0.299064 + 0.142626i
\(267\) −7.44836e14 −2.05586
\(268\) 1.52351e13 2.63879e13i 0.0411183 0.0712190i
\(269\) 5.68820e14 3.28409e14i 1.50128 0.866764i 0.501280 0.865285i \(-0.332863\pi\)
0.999999 0.00147856i \(-0.000470642\pi\)
\(270\) 4.71389e14 + 8.16470e14i 1.21674 + 2.10745i
\(271\) 2.47840e14 + 1.43090e14i 0.625684 + 0.361239i 0.779079 0.626926i \(-0.215687\pi\)
−0.153395 + 0.988165i \(0.549021\pi\)
\(272\) 5.44329e13i 0.134415i
\(273\) 2.37877e14 4.98793e14i 0.574615 1.20488i
\(274\) 8.45742e13 0.199864
\(275\) 1.83437e14 3.17722e14i 0.424121 0.734600i
\(276\) −2.48486e14 + 1.43463e14i −0.562143 + 0.324554i
\(277\) −1.59957e14 2.77054e14i −0.354100 0.613318i 0.632864 0.774263i \(-0.281879\pi\)
−0.986963 + 0.160945i \(0.948546\pi\)
\(278\) −3.65130e14 2.10808e14i −0.791004 0.456687i
\(279\) 1.55023e14i 0.328677i
\(280\) −2.45220e13 3.11355e14i −0.0508871 0.646113i
\(281\) −9.69587e13 −0.196947 −0.0984734 0.995140i \(-0.531396\pi\)
−0.0984734 + 0.995140i \(0.531396\pi\)
\(282\) 1.77583e14 3.07583e14i 0.353107 0.611600i
\(283\) 3.65013e14 2.10740e14i 0.710541 0.410231i −0.100720 0.994915i \(-0.532115\pi\)
0.811261 + 0.584683i \(0.198781\pi\)
\(284\) −3.52006e13 6.09692e13i −0.0670873 0.116199i
\(285\) 6.98607e14 + 4.03341e14i 1.30366 + 0.752667i
\(286\) 1.05926e14i 0.193555i
\(287\) 2.41290e14 1.65854e14i 0.431765 0.296780i
\(288\) −2.08935e14 −0.366148
\(289\) −2.07099e14 + 3.58707e14i −0.355461 + 0.615676i
\(290\) 1.92918e14 1.11381e14i 0.324329 0.187251i
\(291\) 3.69324e14 + 6.39689e14i 0.608205 + 1.05344i
\(292\) 4.37776e14 + 2.52750e14i 0.706244 + 0.407750i
\(293\) 8.21912e14i 1.29903i −0.760348 0.649516i \(-0.774972\pi\)
0.760348 0.649516i \(-0.225028\pi\)
\(294\) −7.47131e14 2.86699e14i −1.15695 0.443959i
\(295\) −1.67141e15 −2.53601
\(296\) 2.87382e13 4.97760e13i 0.0427277 0.0740065i
\(297\) −4.01003e14 + 2.31519e14i −0.584264 + 0.337325i
\(298\) 1.58005e14 + 2.73672e14i 0.225617 + 0.390780i
\(299\) 3.49168e14 + 2.01592e14i 0.488661 + 0.282128i
\(300\) 1.50779e15i 2.06831i
\(301\) 8.11621e14 + 1.18077e15i 1.09133 + 1.58770i
\(302\) 7.47365e14 0.985124
\(303\) −3.17088e14 + 5.49213e14i −0.409755 + 0.709717i
\(304\) −8.00740e13 + 4.62308e13i −0.101450 + 0.0585719i
\(305\) −5.65785e14 9.79968e14i −0.702833 1.21734i
\(306\) 5.59865e14 + 3.23238e14i 0.681954 + 0.393726i
\(307\) 3.43884e14i 0.410754i 0.978683 + 0.205377i \(0.0658421\pi\)
−0.978683 + 0.205377i \(0.934158\pi\)
\(308\) 1.52920e14 1.20438e13i 0.179126 0.0141078i
\(309\) 1.22383e15 1.40595
\(310\) 9.12766e13 1.58096e14i 0.102846 0.178135i
\(311\) −2.29549e14 + 1.32530e14i −0.253695 + 0.146471i −0.621455 0.783450i \(-0.713458\pi\)
0.367760 + 0.929921i \(0.380125\pi\)
\(312\) 2.17669e14 + 3.77014e14i 0.235977 + 0.408724i
\(313\) −4.22792e14 2.44099e14i −0.449635 0.259597i 0.258041 0.966134i \(-0.416923\pi\)
−0.707676 + 0.706537i \(0.750256\pi\)
\(314\) 1.73264e14i 0.180772i
\(315\) −3.34804e15 1.59670e15i −3.42711 1.63441i
\(316\) −7.03470e14 −0.706518
\(317\) 9.51743e14 1.64847e15i 0.937916 1.62452i 0.168567 0.985690i \(-0.446086\pi\)
0.769349 0.638829i \(-0.220581\pi\)
\(318\) −1.86484e15 + 1.07667e15i −1.80335 + 1.04116i
\(319\) 5.47042e13 + 9.47504e13i 0.0519130 + 0.0899160i
\(320\) 2.13077e14 + 1.23020e14i 0.198443 + 0.114571i
\(321\) 1.50684e15i 1.37733i
\(322\) 2.51329e14 5.26999e14i 0.225479 0.472796i
\(323\) 2.86090e14 0.251934
\(324\) −3.52489e14 + 6.10530e14i −0.304703 + 0.527760i
\(325\) −1.83487e15 + 1.05936e15i −1.55706 + 0.898969i
\(326\) 1.97403e14 + 3.41912e14i 0.164455 + 0.284845i
\(327\) 6.49166e14 + 3.74796e14i 0.530969 + 0.306555i
\(328\) 2.30658e14i 0.185236i
\(329\) 5.67449e13 + 7.20489e14i 0.0447457 + 0.568135i
\(330\) 1.05428e15 0.816340
\(331\) 9.11691e14 1.57910e15i 0.693234 1.20072i −0.277539 0.960714i \(-0.589519\pi\)
0.970772 0.240002i \(-0.0771480\pi\)
\(332\) −6.72471e14 + 3.88251e14i −0.502164 + 0.289924i
\(333\) −3.41312e14 5.91169e14i −0.250314 0.433557i
\(334\) −9.30133e14 5.37013e14i −0.669987 0.386817i
\(335\) 4.26148e14i 0.301503i
\(336\) 5.19529e14 3.57106e14i 0.361056 0.248177i
\(337\) 2.27987e15 1.55643 0.778217 0.627996i \(-0.216125\pi\)
0.778217 + 0.627996i \(0.216125\pi\)
\(338\) −2.21310e14 + 3.83320e14i −0.148423 + 0.257076i
\(339\) 2.06629e15 1.19297e15i 1.36142 0.786017i
\(340\) −3.80643e14 6.59293e14i −0.246402 0.426781i
\(341\) 7.76476e13 + 4.48298e13i 0.0493857 + 0.0285129i
\(342\) 1.09813e15i 0.686272i
\(343\) 1.58336e15 3.80416e14i 0.972330 0.233611i
\(344\) −1.12875e15 −0.681154
\(345\) 2.00644e15 3.47526e15i 1.18991 2.06098i
\(346\) 1.32935e14 7.67498e13i 0.0774786 0.0447323i
\(347\) −5.88203e14 1.01880e15i −0.336938 0.583594i 0.646917 0.762560i \(-0.276058\pi\)
−0.983855 + 0.178966i \(0.942725\pi\)
\(348\) 3.89410e14 + 2.24826e14i 0.219246 + 0.126582i
\(349\) 2.60435e15i 1.44128i 0.693312 + 0.720638i \(0.256151\pi\)
−0.693312 + 0.720638i \(0.743849\pi\)
\(350\) 1.73798e15 + 2.52847e15i 0.945445 + 1.37546i
\(351\) 2.67409e15 1.42999
\(352\) −6.04204e13 + 1.04651e14i −0.0317634 + 0.0550159i
\(353\) −2.52966e15 + 1.46050e15i −1.30742 + 0.754837i −0.981664 0.190619i \(-0.938951\pi\)
−0.325752 + 0.945455i \(0.605617\pi\)
\(354\) −1.68689e15 2.92178e15i −0.857169 1.48466i
\(355\) 8.52701e14 + 4.92307e14i 0.426017 + 0.245961i
\(356\) 1.19400e15i 0.586551i
\(357\) −1.94461e15 + 1.53155e14i −0.939339 + 0.0739813i
\(358\) −1.68985e15 −0.802695
\(359\) −1.29215e15 + 2.23806e15i −0.603594 + 1.04546i 0.388678 + 0.921374i \(0.372932\pi\)
−0.992272 + 0.124082i \(0.960401\pi\)
\(360\) 2.53063e15 1.46106e15i 1.16255 0.671201i
\(361\) −8.63676e14 1.49593e15i −0.390218 0.675878i
\(362\) 2.46082e15 + 1.42076e15i 1.09352 + 0.631347i
\(363\) 3.49176e15i 1.52618i
\(364\) −7.99587e14 3.81328e14i −0.343762 0.163942i
\(365\) −7.06981e15 −2.98986
\(366\) 1.14205e15 1.97809e15i 0.475115 0.822923i
\(367\) −1.58874e15 + 9.17258e14i −0.650213 + 0.375401i −0.788538 0.614986i \(-0.789162\pi\)
0.138325 + 0.990387i \(0.455828\pi\)
\(368\) 2.29978e14 + 3.98333e14i 0.0925975 + 0.160384i
\(369\) 2.37242e15 + 1.36971e15i 0.939794 + 0.542590i
\(370\) 8.03852e14i 0.313304i
\(371\) 1.88618e15 3.95503e15i 0.723334 1.51672i
\(372\) 3.68488e14 0.139048
\(373\) 6.72013e14 1.16396e15i 0.249531 0.432201i −0.713865 0.700284i \(-0.753057\pi\)
0.963396 + 0.268083i \(0.0863901\pi\)
\(374\) 3.23807e14 1.86950e14i 0.118319 0.0683118i
\(375\) 6.07688e15 + 1.05255e16i 2.18521 + 3.78489i
\(376\) −4.93069e14 2.84673e14i −0.174494 0.100744i
\(377\) 6.31843e14i 0.220070i
\(378\) −3.04045e14 3.86046e15i −0.104229 1.32339i
\(379\) 4.93312e15 1.66451 0.832255 0.554392i \(-0.187049\pi\)
0.832255 + 0.554392i \(0.187049\pi\)
\(380\) 6.46573e14 1.11990e15i 0.214741 0.371943i
\(381\) −2.67336e15 + 1.54347e15i −0.873993 + 0.504600i
\(382\) 1.15933e15 + 2.00803e15i 0.373103 + 0.646233i
\(383\) −4.20093e15 2.42541e15i −1.33092 0.768409i −0.345482 0.938425i \(-0.612285\pi\)
−0.985441 + 0.170016i \(0.945618\pi\)
\(384\) 4.96638e14i 0.154900i
\(385\) −1.76795e15 + 1.21523e15i −0.542882 + 0.373158i
\(386\) −1.08827e15 −0.329012
\(387\) −6.70282e15 + 1.16096e16i −1.99523 + 3.45583i
\(388\) 1.02545e15 5.92043e14i 0.300555 0.173525i
\(389\) −3.03030e15 5.24863e15i −0.874555 1.51477i −0.857236 0.514924i \(-0.827820\pi\)
−0.0173199 0.999850i \(-0.505513\pi\)
\(390\) −5.27283e15 3.04427e15i −1.49850 0.865159i
\(391\) 1.42317e15i 0.398288i
\(392\) −4.59591e14 + 1.19768e15i −0.126665 + 0.330085i
\(393\) −1.46443e15 −0.397479
\(394\) 9.88357e14 1.71188e15i 0.264202 0.457612i
\(395\) 8.52045e15 4.91928e15i 2.24326 1.29515i
\(396\) 7.17588e14 + 1.24290e15i 0.186082 + 0.322303i
\(397\) −2.17623e15 1.25645e15i −0.555856 0.320923i 0.195625 0.980679i \(-0.437327\pi\)
−0.751480 + 0.659755i \(0.770660\pi\)
\(398\) 2.49575e15i 0.627917i
\(399\) −1.87689e15 2.73056e15i −0.465158 0.676727i
\(400\) −2.41706e15 −0.590102
\(401\) −3.78182e15 + 6.55030e15i −0.909567 + 1.57542i −0.0949001 + 0.995487i \(0.530253\pi\)
−0.814667 + 0.579929i \(0.803080\pi\)
\(402\) −7.44946e14 + 4.30094e14i −0.176510 + 0.101908i
\(403\) −2.58896e14 4.48422e14i −0.0604360 0.104678i
\(404\) 8.80412e14 + 5.08306e14i 0.202487 + 0.116906i
\(405\) 9.85967e15i 2.23425i
\(406\) −9.12163e14 + 7.18409e13i −0.203665 + 0.0160404i
\(407\) −3.94806e14 −0.0868594
\(408\) 7.68336e14 1.33080e15i 0.166567 0.288503i
\(409\) 1.55745e15 8.99196e14i 0.332717 0.192094i −0.324330 0.945944i \(-0.605139\pi\)
0.657047 + 0.753850i \(0.271805\pi\)
\(410\) −1.61296e15 2.79374e15i −0.339564 0.588142i
\(411\) −2.06770e15 1.19379e15i −0.428980 0.247672i
\(412\) 1.96186e15i 0.401129i
\(413\) 6.19662e15 + 2.95520e15i 1.24869 + 0.595507i
\(414\) 5.46270e15 1.08494
\(415\) 5.42999e15 9.40502e15i 1.06294 1.84107i
\(416\) 6.04370e14 3.48933e14i 0.116612 0.0673260i
\(417\) 5.95123e15 + 1.03078e16i 1.13185 + 1.96043i
\(418\) 5.50029e14 + 3.17559e14i 0.103116 + 0.0595343i
\(419\) 3.84397e15i 0.710388i 0.934793 + 0.355194i \(0.115585\pi\)
−0.934793 + 0.355194i \(0.884415\pi\)
\(420\) −3.79535e15 + 7.95828e15i −0.691442 + 1.44985i
\(421\) 3.28944e14 0.0590784 0.0295392 0.999564i \(-0.490596\pi\)
0.0295392 + 0.999564i \(0.490596\pi\)
\(422\) −1.90041e15 + 3.29160e15i −0.336490 + 0.582817i
\(423\) −5.85597e15 + 3.38095e15i −1.02225 + 0.590196i
\(424\) 1.72594e15 + 2.98942e15i 0.297051 + 0.514508i
\(425\) 6.47679e15 + 3.73937e15i 1.09907 + 0.634549i
\(426\) 1.98747e15i 0.332539i
\(427\) 3.64931e14 + 4.63352e15i 0.0602065 + 0.764440i
\(428\) 2.41553e15 0.392961
\(429\) 1.49517e15 2.58971e15i 0.239854 0.415440i
\(430\) 1.36714e16 7.89319e15i 2.16273 1.24865i
\(431\) −5.88391e14 1.01912e15i −0.0917915 0.158987i 0.816474 0.577383i \(-0.195926\pi\)
−0.908265 + 0.418395i \(0.862593\pi\)
\(432\) 2.64192e15 + 1.52531e15i 0.406459 + 0.234669i
\(433\) 4.01155e15i 0.608675i −0.952564 0.304337i \(-0.901565\pi\)
0.952564 0.304337i \(-0.0984350\pi\)
\(434\) −6.17929e14 + 4.24742e14i −0.0924698 + 0.0635605i
\(435\) −6.28873e15 −0.928169
\(436\) 6.00815e14 1.04064e15i 0.0874624 0.151489i
\(437\) 2.09357e15 1.20872e15i 0.300607 0.173556i
\(438\) −7.13528e15 1.23587e16i −1.01057 1.75036i
\(439\) 1.80698e15 + 1.04326e15i 0.252445 + 0.145749i 0.620883 0.783903i \(-0.286774\pi\)
−0.368438 + 0.929652i \(0.620107\pi\)
\(440\) 1.69005e15i 0.232908i
\(441\) 9.58949e15 + 1.18393e16i 1.30366 + 1.60951i
\(442\) −2.15931e15 −0.289588
\(443\) 1.41208e15 2.44579e15i 0.186825 0.323591i −0.757365 0.652992i \(-0.773513\pi\)
0.944190 + 0.329401i \(0.106847\pi\)
\(444\) −1.40521e15 + 8.11296e14i −0.183418 + 0.105897i
\(445\) −8.34953e15 1.44618e16i −1.07523 1.86236i
\(446\) 1.30154e15 + 7.51445e14i 0.165367 + 0.0954747i
\(447\) 8.92112e15i 1.11834i
\(448\) −5.72456e14 8.32827e14i −0.0708066 0.103012i
\(449\) −1.42097e14 −0.0173424 −0.00867118 0.999962i \(-0.502760\pi\)
−0.00867118 + 0.999962i \(0.502760\pi\)
\(450\) −1.43532e16 + 2.48605e16i −1.72852 + 2.99388i
\(451\) 1.37212e15 7.92196e14i 0.163055 0.0941398i
\(452\) −1.91239e15 3.31235e15i −0.224256 0.388424i
\(453\) −1.82719e16 1.05493e16i −2.11443 1.22077i
\(454\) 5.45560e15i 0.623028i
\(455\) 1.23512e16 9.72767e14i 1.39201 0.109633i
\(456\) 2.61024e15 0.290330
\(457\) 2.95164e15 5.11239e15i 0.324016 0.561212i −0.657297 0.753632i \(-0.728300\pi\)
0.981313 + 0.192420i \(0.0616336\pi\)
\(458\) −8.46381e15 + 4.88658e15i −0.917008 + 0.529435i
\(459\) −4.71954e15 8.17449e15i −0.504689 0.874147i
\(460\) −5.57100e15 3.21642e15i −0.588012 0.339489i
\(461\) 1.37058e16i 1.42791i 0.700193 + 0.713953i \(0.253097\pi\)
−0.700193 + 0.713953i \(0.746903\pi\)
\(462\) −3.90865e15 1.86406e15i −0.401953 0.191694i
\(463\) −9.94231e15 −1.00926 −0.504628 0.863337i \(-0.668370\pi\)
−0.504628 + 0.863337i \(0.668370\pi\)
\(464\) 3.60406e14 6.24241e14i 0.0361147 0.0625525i
\(465\) −4.46313e15 + 2.57679e15i −0.441491 + 0.254895i
\(466\) 3.11383e15 + 5.39331e15i 0.304074 + 0.526671i
\(467\) −7.16664e15 4.13766e15i −0.690899 0.398891i 0.113050 0.993589i \(-0.463938\pi\)
−0.803949 + 0.594699i \(0.797271\pi\)
\(468\) 8.28827e15i 0.788840i
\(469\) 7.53468e14 1.57991e15i 0.0707991 0.148455i
\(470\) 7.96275e15 0.738713
\(471\) 2.44568e15 4.23604e15i 0.224013 0.388002i
\(472\) −4.68373e15 + 2.70415e15i −0.423584 + 0.244557i
\(473\) 3.87668e15 + 6.71461e15i 0.346173 + 0.599589i
\(474\) 1.71987e16 + 9.92968e15i 1.51644 + 0.875519i
\(475\) 1.27037e16i 1.10603i
\(476\) 2.45514e14 + 3.11729e15i 0.0211074 + 0.268000i
\(477\) 4.09966e16 3.48047
\(478\) 1.82995e15 3.16956e15i 0.153416 0.265725i
\(479\) −7.40456e15 + 4.27502e15i −0.613036 + 0.353937i −0.774153 0.632999i \(-0.781824\pi\)
0.161117 + 0.986935i \(0.448490\pi\)
\(480\) −3.47293e15 6.01529e15i −0.283954 0.491823i
\(481\) 1.97457e15 + 1.14002e15i 0.159442 + 0.0920538i
\(482\) 1.07683e16i 0.858744i
\(483\) −1.35833e16 + 9.33669e15i −1.06985 + 0.735377i
\(484\) −5.59745e15 −0.435429
\(485\) −8.28017e15 + 1.43417e16i −0.636193 + 1.10192i
\(486\) 2.08677e15 1.20480e15i 0.158364 0.0914316i
\(487\) 5.51456e15 + 9.55149e15i 0.413368 + 0.715974i 0.995256 0.0972948i \(-0.0310190\pi\)
−0.581888 + 0.813269i \(0.697686\pi\)
\(488\) −3.17096e15 1.83076e15i −0.234786 0.135554i
\(489\) 1.11456e16i 0.815174i
\(490\) −2.80868e15 1.77202e16i −0.202920 1.28025i
\(491\) −1.67478e16 −1.19528 −0.597640 0.801765i \(-0.703895\pi\)
−0.597640 + 0.801765i \(0.703895\pi\)
\(492\) 3.25581e15 5.63922e15i 0.229545 0.397584i
\(493\) −1.93150e15 + 1.11515e15i −0.134528 + 0.0776697i
\(494\) −1.83393e15 3.17647e15i −0.126189 0.218566i
\(495\) −1.73829e16 1.00360e16i −1.18166 0.682229i
\(496\) 5.90702e14i 0.0396715i
\(497\) −2.29088e15 3.33285e15i −0.152007 0.221145i
\(498\) 2.19211e16 1.43710
\(499\) −5.39490e15 + 9.34425e15i −0.349446 + 0.605259i −0.986151 0.165849i \(-0.946964\pi\)
0.636705 + 0.771108i \(0.280297\pi\)
\(500\) 1.68728e16 9.74150e15i 1.07986 0.623456i
\(501\) 1.51602e16 + 2.62582e16i 0.958689 + 1.66050i
\(502\) −5.90732e15 3.41059e15i −0.369120 0.213112i
\(503\) 2.92066e16i 1.80332i −0.432446 0.901660i \(-0.642349\pi\)
0.432446 0.901660i \(-0.357651\pi\)
\(504\) −1.19654e16 + 9.42381e14i −0.730035 + 0.0574967i
\(505\) −1.42181e16 −0.857222
\(506\) 1.57972e15 2.73615e15i 0.0941189 0.163019i
\(507\) 1.08214e16 6.24771e15i 0.637139 0.367852i
\(508\) 2.47424e15 + 4.28551e15i 0.143966 + 0.249356i
\(509\) −1.07738e16 6.22024e15i −0.619528 0.357685i 0.157157 0.987574i \(-0.449767\pi\)
−0.776685 + 0.629889i \(0.783100\pi\)
\(510\) 2.14915e16i 1.22137i
\(511\) 2.62108e16 + 1.25001e16i 1.47216 + 0.702080i
\(512\) 7.96131e14 0.0441942
\(513\) 8.01678e15 1.38855e16i 0.439841 0.761827i
\(514\) 7.64682e15 4.41489e15i 0.414669 0.239409i
\(515\) 1.37190e16 + 2.37621e16i 0.735326 + 1.27362i
\(516\) 2.75960e16 + 1.59326e16i 1.46200 + 0.844088i
\(517\) 3.91084e15i 0.204799i
\(518\) 1.42128e15 2.98022e15i 0.0735702 0.154266i
\(519\) −4.33338e15 −0.221729
\(520\) −4.88010e15 + 8.45258e15i −0.246836 + 0.427533i
\(521\) 1.31014e16 7.56411e15i 0.655076 0.378208i −0.135322 0.990802i \(-0.543207\pi\)
0.790398 + 0.612593i \(0.209874\pi\)
\(522\) −4.28039e15 7.41385e15i −0.211573 0.366455i
\(523\) 2.35553e16 + 1.35997e16i 1.15101 + 0.664535i 0.949133 0.314877i \(-0.101963\pi\)
0.201875 + 0.979411i \(0.435296\pi\)
\(524\) 2.34755e15i 0.113404i
\(525\) −6.80076e15 8.63491e16i −0.324789 4.12384i
\(526\) −1.30418e16 −0.615778
\(527\) −9.13860e14 + 1.58285e15i −0.0426595 + 0.0738885i
\(528\) 2.95436e15 1.70570e15i 0.136352 0.0787227i
\(529\) 4.94444e15 + 8.56401e15i 0.225623 + 0.390790i
\(530\) −4.18093e16 2.41386e16i −1.88633 1.08907i
\(531\) 6.42322e16i 2.86540i
\(532\) −4.37720e15 + 3.00873e15i −0.193075 + 0.132713i
\(533\) −9.15000e15 −0.399078
\(534\) 1.68537e16 2.91915e16i 0.726856 1.25895i
\(535\) −2.92570e16 + 1.68915e16i −1.24769 + 0.720354i
\(536\) 6.89460e14 + 1.19418e15i 0.0290750 + 0.0503595i
\(537\) 4.13142e16 + 2.38528e16i 1.72287 + 0.994702i
\(538\) 2.97241e16i 1.22579i
\(539\) 8.70317e15 1.37946e15i 0.354932 0.0562570i
\(540\) −4.26653e16 −1.72073
\(541\) 1.04916e15 1.81721e15i 0.0418466 0.0724804i −0.844344 0.535802i \(-0.820009\pi\)
0.886190 + 0.463322i \(0.153343\pi\)
\(542\) −1.12159e16 + 6.47553e15i −0.442425 + 0.255434i
\(543\) −4.01088e16 6.94704e16i −1.56473 2.71020i
\(544\) −2.13332e15 1.23168e15i −0.0823121 0.0475229i
\(545\) 1.68057e16i 0.641324i
\(546\) 1.41661e16 + 2.06093e16i 0.534680 + 0.777869i
\(547\) −1.14563e16 −0.427680 −0.213840 0.976869i \(-0.568597\pi\)
−0.213840 + 0.976869i \(0.568597\pi\)
\(548\) −1.91370e15 + 3.31462e15i −0.0706626 + 0.122391i
\(549\) −3.76602e16 + 2.17431e16i −1.37546 + 0.794123i
\(550\) 8.30140e15 + 1.43784e16i 0.299899 + 0.519440i
\(551\) −3.28091e15 1.89423e15i −0.117242 0.0676898i
\(552\) 1.29848e16i 0.458988i
\(553\) −4.02866e16 + 3.17293e15i −1.40867 + 0.110946i
\(554\) 1.44777e16 0.500772
\(555\) 1.13466e16 1.96529e16i 0.388247 0.672463i
\(556\) 1.65239e16 9.54008e15i 0.559324 0.322926i
\(557\) −2.70772e15 4.68991e15i −0.0906719 0.157048i 0.817122 0.576465i \(-0.195568\pi\)
−0.907794 + 0.419416i \(0.862235\pi\)
\(558\) −6.07562e15 3.50776e15i −0.201273 0.116205i
\(559\) 4.47764e16i 1.46750i
\(560\) 1.27575e16 + 6.08411e15i 0.413653 + 0.197273i
\(561\) −1.05554e16 −0.338608
\(562\) 2.19392e15 3.79999e15i 0.0696312 0.120605i
\(563\) 2.17952e16 1.25834e16i 0.684400 0.395138i −0.117111 0.993119i \(-0.537363\pi\)
0.801511 + 0.597981i \(0.204030\pi\)
\(564\) 8.03649e15 + 1.39196e16i 0.249685 + 0.432467i
\(565\) 4.63257e16 + 2.67462e16i 1.42407 + 0.822188i
\(566\) 1.90740e16i 0.580155i
\(567\) −1.74328e16 + 3.65540e16i −0.524649 + 1.10011i
\(568\) 3.18600e15 0.0948757
\(569\) −9.49751e15 + 1.64502e16i −0.279857 + 0.484727i −0.971349 0.237657i \(-0.923620\pi\)
0.691492 + 0.722384i \(0.256954\pi\)
\(570\) −3.16153e16 + 1.82531e16i −0.921825 + 0.532216i
\(571\) −3.03472e16 5.25629e16i −0.875593 1.51657i −0.856130 0.516761i \(-0.827137\pi\)
−0.0194636 0.999811i \(-0.506196\pi\)
\(572\) −4.15142e15 2.39682e15i −0.118528 0.0684321i
\(573\) 6.54574e16i 1.84940i
\(574\) 1.04036e15 + 1.32094e16i 0.0290879 + 0.369328i
\(575\) 6.31951e16 1.74854
\(576\) 4.72766e15 8.18855e15i 0.129453 0.224219i
\(577\) −3.19715e15 + 1.84587e15i −0.0866378 + 0.0500204i −0.542693 0.839931i \(-0.682595\pi\)
0.456055 + 0.889951i \(0.349262\pi\)
\(578\) −9.37225e15 1.62332e16i −0.251349 0.435349i
\(579\) 2.66064e16 + 1.53612e16i 0.706178 + 0.407712i
\(580\) 1.00811e16i 0.264813i
\(581\) −3.67602e16 + 2.52677e16i −0.955699 + 0.656914i
\(582\) −3.34274e16 −0.860132
\(583\) 1.18555e16 2.05343e16i 0.301932 0.522961i
\(584\) −1.98115e16 + 1.14382e16i −0.499390 + 0.288323i
\(585\) 5.79589e16 + 1.00388e17i 1.44606 + 2.50464i
\(586\) 3.22122e16 + 1.85977e16i 0.795491 + 0.459277i
\(587\) 4.12173e16i 1.00751i −0.863845 0.503757i \(-0.831951\pi\)
0.863845 0.503757i \(-0.168049\pi\)
\(588\) 2.81419e16 2.27942e16i 0.680910 0.551518i
\(589\) −3.10463e15 −0.0743563
\(590\) 3.78197e16 6.55056e16i 0.896614 1.55298i
\(591\) −4.83275e16 + 2.79019e16i −1.13415 + 0.654800i
\(592\) 1.30054e15 + 2.25261e15i 0.0302130 + 0.0523305i
\(593\) −3.20315e14 1.84934e14i −0.00736630 0.00425294i 0.496312 0.868144i \(-0.334687\pi\)
−0.503679 + 0.863891i \(0.668020\pi\)
\(594\) 2.09547e16i 0.477050i
\(595\) −2.47725e16 3.60398e16i −0.558300 0.812233i
\(596\) −1.43009e16 −0.319071
\(597\) 3.52282e16 6.10170e16i 0.778116 1.34774i
\(598\) −1.58015e16 + 9.12302e15i −0.345535 + 0.199495i
\(599\) 2.04323e16 + 3.53898e16i 0.442341 + 0.766157i 0.997863 0.0653452i \(-0.0208149\pi\)
−0.555522 + 0.831502i \(0.687482\pi\)
\(600\) 5.90932e16 + 3.41175e16i 1.26657 + 0.731256i
\(601\) 1.12117e16i 0.237916i 0.992899 + 0.118958i \(0.0379553\pi\)
−0.992899 + 0.118958i \(0.962045\pi\)
\(602\) −6.46415e16 + 5.09110e15i −1.35810 + 0.106963i
\(603\) 1.63769e16 0.340664
\(604\) −1.69109e16 + 2.92906e16i −0.348294 + 0.603263i
\(605\) 6.77964e16 3.91423e16i 1.38253 0.798204i
\(606\) −1.43498e16 2.48545e16i −0.289741 0.501846i
\(607\) 1.45744e16 + 8.41452e15i 0.291379 + 0.168227i 0.638563 0.769569i \(-0.279529\pi\)
−0.347185 + 0.937797i \(0.612862\pi\)
\(608\) 4.18433e15i 0.0828332i
\(609\) 2.33150e16 + 1.11190e16i 0.457016 + 0.217953i
\(610\) 5.12090e16 0.993957
\(611\) 1.12927e16 1.95596e16i 0.217046 0.375935i
\(612\) −2.53366e16 + 1.46281e16i −0.482214 + 0.278406i
\(613\) −2.97088e16 5.14571e16i −0.559914 0.969800i −0.997503 0.0706250i \(-0.977501\pi\)
0.437588 0.899175i \(-0.355833\pi\)
\(614\) −1.34775e16 7.78121e15i −0.251535 0.145224i
\(615\) 9.10698e16i 1.68315i
\(616\) −2.98816e15 + 6.26573e15i −0.0546915 + 0.114680i
\(617\) 8.03065e16 1.45559 0.727796 0.685793i \(-0.240545\pi\)
0.727796 + 0.685793i \(0.240545\pi\)
\(618\) −2.76922e16 + 4.79642e16i −0.497080 + 0.860968i
\(619\) −7.34721e16 + 4.24191e16i −1.30611 + 0.754081i −0.981444 0.191749i \(-0.938584\pi\)
−0.324662 + 0.945830i \(0.605251\pi\)
\(620\) 4.13071e15 + 7.15460e15i 0.0727234 + 0.125961i
\(621\) −6.90741e16 3.98800e16i −1.20439 0.695353i
\(622\) 1.19952e16i 0.207141i
\(623\) 5.38544e15 + 6.83788e16i 0.0921070 + 1.16948i
\(624\) −1.97012e16 −0.333722
\(625\) −6.58967e16 + 1.14136e17i −1.10556 + 1.91489i
\(626\) 1.91334e16 1.10467e16i 0.317940 0.183563i
\(627\) −8.96488e15 1.55276e16i −0.147550 0.255564i
\(628\) −6.79055e15 3.92052e15i −0.110700 0.0639126i
\(629\) 8.04815e15i 0.129955i
\(630\) 1.38335e17 9.50867e16i 2.21253 1.52082i
\(631\) 8.59803e16 1.36214 0.681071 0.732217i \(-0.261514\pi\)
0.681071 + 0.732217i \(0.261514\pi\)
\(632\) 1.59177e16 2.75703e16i 0.249792 0.432652i
\(633\) 9.29238e16 5.36496e16i 1.44446 0.833958i
\(634\) 4.30710e16 + 7.46011e16i 0.663207 + 1.14871i
\(635\) −5.99362e16 3.46042e16i −0.914211 0.527820i
\(636\) 9.74487e16i 1.47243i
\(637\) −4.75111e16 1.82316e16i −0.711145 0.272890i
\(638\) −4.95126e15 −0.0734161
\(639\) 1.89194e16 3.27693e16i 0.277908 0.481351i
\(640\) −9.64277e15 + 5.56725e15i −0.140321 + 0.0810142i
\(641\) −3.15932e16 5.47210e16i −0.455455 0.788871i 0.543259 0.839565i \(-0.317190\pi\)
−0.998714 + 0.0506938i \(0.983857\pi\)
\(642\) −5.90558e16 3.40959e16i −0.843437 0.486958i
\(643\) 3.43243e16i 0.485664i 0.970068 + 0.242832i \(0.0780764\pi\)
−0.970068 + 0.242832i \(0.921924\pi\)
\(644\) 1.49671e16 + 2.17746e16i 0.209809 + 0.305236i
\(645\) −4.45658e17 −6.18933
\(646\) −6.47348e15 + 1.12124e16i −0.0890723 + 0.154278i
\(647\) −3.01092e16 + 1.73835e16i −0.410462 + 0.236980i −0.690988 0.722866i \(-0.742824\pi\)
0.280526 + 0.959846i \(0.409491\pi\)
\(648\) −1.59519e16 2.76294e16i −0.215457 0.373183i
\(649\) 3.21726e16 + 1.85748e16i 0.430544 + 0.248575i
\(650\) 9.58827e16i 1.27133i
\(651\) 2.11027e16 1.66203e15i 0.277238 0.0218350i
\(652\) −1.78669e16 −0.232575
\(653\) −2.74544e16 + 4.75524e16i −0.354106 + 0.613329i −0.986965 0.160938i \(-0.948548\pi\)
0.632859 + 0.774267i \(0.281881\pi\)
\(654\) −2.93779e16 + 1.69613e16i −0.375452 + 0.216767i
\(655\) −1.64162e16 2.84336e16i −0.207885 0.360068i
\(656\) −9.03991e15 5.21920e15i −0.113433 0.0654908i
\(657\) 2.71693e17i 3.37820i
\(658\) −2.95213e16 1.40789e16i −0.363730 0.173465i
\(659\) 1.27959e16 0.156227 0.0781136 0.996944i \(-0.475110\pi\)
0.0781136 + 0.996944i \(0.475110\pi\)
\(660\) −2.38556e16 + 4.13190e16i −0.288620 + 0.499904i
\(661\) 8.23149e16 4.75245e16i 0.986892 0.569782i 0.0825481 0.996587i \(-0.473694\pi\)
0.904344 + 0.426805i \(0.140361\pi\)
\(662\) 4.12584e16 + 7.14617e16i 0.490190 + 0.849034i
\(663\) 5.27916e16 + 3.04792e16i 0.621560 + 0.358858i
\(664\) 3.51405e16i 0.410015i
\(665\) 3.19770e16 6.70511e16i 0.369750 0.775311i
\(666\) 3.08920e16 0.353998
\(667\) −9.42297e15 + 1.63211e16i −0.107012 + 0.185350i
\(668\) 4.20930e16 2.43024e16i 0.473752 0.273521i
\(669\) −2.12137e16 3.67433e16i −0.236625 0.409846i
\(670\) −1.67015e16 9.64263e15i −0.184632 0.106597i
\(671\) 2.51509e16i 0.275562i
\(672\) 2.24003e15 + 2.84417e16i 0.0243242 + 0.308844i
\(673\) 1.19235e16 0.128326 0.0641629 0.997939i \(-0.479562\pi\)
0.0641629 + 0.997939i \(0.479562\pi\)
\(674\) −5.15876e16 + 8.93523e16i −0.550282 + 0.953117i
\(675\) 3.62983e17 2.09568e17i 3.83764 2.21566i
\(676\) −1.00154e16 1.73471e16i −0.104951 0.181780i
\(677\) −4.43957e16 2.56319e16i −0.461115 0.266225i 0.251398 0.967884i \(-0.419110\pi\)
−0.712513 + 0.701659i \(0.752443\pi\)
\(678\) 1.07976e17i 1.11160i
\(679\) 5.60555e16 3.85306e16i 0.572005 0.393176i
\(680\) 3.44518e16 0.348465
\(681\) 7.70073e16 1.33381e17i 0.772057 1.33724i
\(682\) −3.51393e15 + 2.02877e15i −0.0349210 + 0.0201616i
\(683\) 5.51917e16 + 9.55948e16i 0.543688 + 0.941695i 0.998688 + 0.0512037i \(0.0163058\pi\)
−0.455000 + 0.890491i \(0.650361\pi\)
\(684\) −4.30376e16 2.48478e16i −0.420254 0.242634i
\(685\) 5.35290e16i 0.518138i
\(686\) −2.09181e16 + 7.06624e16i −0.200714 + 0.678022i
\(687\) 2.75902e17 2.62431
\(688\) 2.55406e16 4.42376e16i 0.240824 0.417120i
\(689\) −1.18588e17 + 6.84666e16i −1.10847 + 0.639976i
\(690\) 9.08013e16 + 1.57272e17i 0.841390 + 1.45733i
\(691\) −1.19742e17 6.91332e16i −1.09997 0.635065i −0.163753 0.986501i \(-0.552360\pi\)
−0.936212 + 0.351436i \(0.885693\pi\)
\(692\) 6.94660e15i 0.0632610i
\(693\) 4.67011e16 + 6.79423e16i 0.421627 + 0.613396i
\(694\) 5.32380e16 0.476503
\(695\) −1.33425e17 + 2.31099e17i −1.18394 + 2.05064i
\(696\) −1.76227e16 + 1.01745e16i −0.155030 + 0.0895068i
\(697\) 1.61490e16 + 2.79709e16i 0.140847 + 0.243955i
\(698\) −1.02069e17 5.89298e16i −0.882598 0.509568i
\(699\) 1.75810e17i 1.50724i
\(700\) −1.38421e17 + 1.09019e16i −1.17656 + 0.0926647i
\(701\) 7.68687e16 0.647801 0.323900 0.946091i \(-0.395006\pi\)
0.323900 + 0.946091i \(0.395006\pi\)
\(702\) −6.05078e16 + 1.04803e17i −0.505578 + 0.875687i
\(703\) 1.18393e16 6.83543e15i 0.0980832 0.0566284i
\(704\) −2.73432e15 4.73597e15i −0.0224601 0.0389021i
\(705\) −1.94676e17 1.12396e17i −1.58555 0.915415i
\(706\) 1.32189e17i 1.06750i
\(707\) 5.27125e16 + 2.51389e16i 0.422082 + 0.201294i
\(708\) 1.52680e17 1.21222
\(709\) 3.20093e16 5.54418e16i 0.251999 0.436475i −0.712077 0.702101i \(-0.752245\pi\)
0.964076 + 0.265626i \(0.0855786\pi\)
\(710\) −3.85889e16 + 2.22793e16i −0.301239 + 0.173921i
\(711\) −1.89048e17 3.27441e17i −1.46337 2.53463i
\(712\) −4.67952e16 2.70172e16i −0.359188 0.207377i
\(713\) 1.54442e16i 0.117551i
\(714\) 3.79990e16 7.96782e16i 0.286802 0.601382i
\(715\) 6.70429e16 0.501783
\(716\) 3.82370e16 6.62284e16i 0.283796 0.491548i
\(717\) −8.94786e16 + 5.16605e16i −0.658574 + 0.380228i
\(718\) −5.84759e16 1.01283e17i −0.426806 0.739249i
\(719\) 1.97447e17 + 1.13996e17i 1.42915 + 0.825118i 0.997053 0.0767115i \(-0.0244420\pi\)
0.432093 + 0.901829i \(0.357775\pi\)
\(720\) 1.32240e17i 0.949221i
\(721\) −8.84876e15 1.12352e17i −0.0629899 0.799781i
\(722\) 7.81711e16 0.551852
\(723\) −1.51997e17 + 2.63267e17i −1.06416 + 1.84317i
\(724\) −1.11364e17 + 6.42961e16i −0.773239 + 0.446430i
\(725\) −4.95176e16 8.57669e16i −0.340982 0.590598i
\(726\) 1.36849e17 + 7.90096e16i 0.934589 + 0.539585i
\(727\) 1.48207e17i 1.00384i −0.864915 0.501918i \(-0.832628\pi\)
0.864915 0.501918i \(-0.167372\pi\)
\(728\) 3.30375e16 2.27088e16i 0.221932 0.152548i
\(729\) 1.14913e17 0.765601
\(730\) 1.59971e17 2.77079e17i 1.05707 1.83091i
\(731\) −1.36878e17 + 7.90265e16i −0.897076 + 0.517927i
\(732\) 5.16833e16 + 8.95181e16i 0.335957 + 0.581894i
\(733\) 2.62833e17 + 1.51747e17i 1.69456 + 0.978353i 0.950750 + 0.309959i \(0.100315\pi\)
0.743807 + 0.668394i \(0.233018\pi\)
\(734\) 8.30207e16i 0.530897i
\(735\) −1.81459e17 + 4.72877e17i −1.15094 + 2.99933i
\(736\) −2.08152e16 −0.130953
\(737\) 4.73590e15 8.20283e15i 0.0295528 0.0511869i
\(738\) −1.07363e17 + 6.19862e16i −0.664535 + 0.383669i
\(739\) −2.33752e16 4.04869e16i −0.143512 0.248570i 0.785305 0.619109i \(-0.212506\pi\)
−0.928817 + 0.370539i \(0.879173\pi\)
\(740\) −3.15044e16 1.81891e16i −0.191859 0.110770i
\(741\) 1.03546e17i 0.625496i
\(742\) 1.12326e17 + 1.63415e17i 0.673062 + 0.979192i
\(743\) −2.31317e17 −1.37491 −0.687456 0.726226i \(-0.741273\pi\)
−0.687456 + 0.726226i \(0.741273\pi\)
\(744\) −8.33793e15 + 1.44417e16i −0.0491610 + 0.0851493i
\(745\) 1.73213e17 1.00005e17i 1.01308 0.584902i
\(746\) 3.04119e16 + 5.26749e16i 0.176445 + 0.305612i
\(747\) −3.61435e17 2.08675e17i −2.08021 1.20101i
\(748\) 1.69208e16i 0.0966074i
\(749\) 1.38334e17 1.08950e16i 0.783496 0.0617073i
\(750\) −5.50017e17 −3.09035
\(751\) −9.15578e16 + 1.58583e17i −0.510336 + 0.883927i 0.489593 + 0.871951i \(0.337145\pi\)
−0.999928 + 0.0119758i \(0.996188\pi\)
\(752\) 2.23137e16 1.28828e16i 0.123386 0.0712368i
\(753\) 9.62829e16 + 1.66767e17i 0.528177 + 0.914829i
\(754\) 2.47631e16 + 1.42970e16i 0.134765 + 0.0778066i
\(755\) 4.73025e17i 2.55389i
\(756\) 1.58178e17 + 7.54361e16i 0.847259 + 0.404062i