Properties

Label 14.13.d.a.3.7
Level $14$
Weight $13$
Character 14.3
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 3.7
Root \(-30.8925 - 53.5073i\) of defining polynomial
Character \(\chi\) \(=\) 14.3
Dual form 14.13.d.a.5.7

$q$-expansion

\(f(q)\) \(=\) \(q+(22.6274 + 39.1918i) q^{2} +(-33.7761 - 19.5006i) q^{3} +(-1024.00 + 1773.62i) q^{4} +(2481.87 - 1432.91i) q^{5} -1764.99i q^{6} +(-44556.8 + 108885. i) q^{7} -92681.9 q^{8} +(-264960. - 458924. i) q^{9} +O(q^{10})\) \(q+(22.6274 + 39.1918i) q^{2} +(-33.7761 - 19.5006i) q^{3} +(-1024.00 + 1773.62i) q^{4} +(2481.87 - 1432.91i) q^{5} -1764.99i q^{6} +(-44556.8 + 108885. i) q^{7} -92681.9 q^{8} +(-264960. - 458924. i) q^{9} +(112317. + 64846.2i) q^{10} +(-1.70644e6 + 2.95565e6i) q^{11} +(69173.4 - 39937.3i) q^{12} -6.97895e6i q^{13} +(-5.27561e6 + 717526. i) q^{14} -111771. q^{15} +(-2.09715e6 - 3.63237e6i) q^{16} +(-2.47314e7 - 1.42787e7i) q^{17} +(1.19907e7 - 2.07685e7i) q^{18} +(-4.55136e7 + 2.62773e7i) q^{19} +5.86920e6i q^{20} +(3.62828e6 - 2.80883e6i) q^{21} -1.54450e8 q^{22} +(-1.55977e7 - 2.70160e7i) q^{23} +(3.13043e6 + 1.80735e6i) q^{24} +(-1.17964e8 + 2.04319e8i) q^{25} +(2.73518e8 - 1.57916e8i) q^{26} +4.13944e7i q^{27} +(-1.47495e8 - 1.90525e8i) q^{28} +4.56209e8 q^{29} +(-2.52908e6 - 4.38050e6i) q^{30} +(1.51818e9 + 8.76523e8i) q^{31} +(9.49063e7 - 1.64382e8i) q^{32} +(1.15274e8 - 6.65534e7i) q^{33} -1.29236e9i q^{34} +(4.54383e7 + 3.34085e8i) q^{35} +1.08528e9 q^{36} +(9.08379e8 + 1.57336e9i) q^{37} +(-2.05971e9 - 1.18918e9i) q^{38} +(-1.36094e8 + 2.35721e8i) q^{39} +(-2.30025e8 + 1.32805e8i) q^{40} +5.14132e9i q^{41} +(1.92182e8 + 7.86426e7i) q^{42} -7.27073e9 q^{43} +(-3.49480e9 - 6.05317e9i) q^{44} +(-1.31519e9 - 7.59328e8i) q^{45} +(7.05871e8 - 1.22260e9i) q^{46} +(3.70838e9 - 2.14103e9i) q^{47} +1.63583e8i q^{48} +(-9.87067e9 - 9.70315e9i) q^{49} -1.06769e10 q^{50} +(5.56887e8 + 9.64556e8i) q^{51} +(1.23780e10 + 7.14644e9i) q^{52} +(3.61377e9 - 6.25923e9i) q^{53} +(-1.62232e9 + 9.36648e8i) q^{54} +9.78073e9i q^{55} +(4.12961e9 - 1.00917e10i) q^{56} +2.04970e9 q^{57} +(1.03228e10 + 1.78797e10i) q^{58} +(-4.46587e9 - 2.57837e9i) q^{59} +(1.14453e8 - 1.98239e8i) q^{60} +(4.42661e9 - 2.55570e9i) q^{61} +7.93338e10i q^{62} +(6.17758e10 - 8.40201e9i) q^{63} +8.58993e9 q^{64} +(-1.00002e10 - 1.73209e10i) q^{65} +(5.21670e9 + 3.01186e9i) q^{66} +(3.79522e10 - 6.57352e10i) q^{67} +(5.06500e10 - 2.92428e10i) q^{68} +1.21666e9i q^{69} +(-1.20653e10 + 9.34030e9i) q^{70} -1.13092e11 q^{71} +(2.45570e10 + 4.25340e10i) q^{72} +(1.51188e11 + 8.72887e10i) q^{73} +(-4.11085e10 + 7.12021e10i) q^{74} +(7.96871e9 - 4.60074e9i) q^{75} -1.07632e11i q^{76} +(-2.45792e11 - 3.17501e11i) q^{77} -1.23178e10 q^{78} +(-1.13044e11 - 1.95798e11i) q^{79} +(-1.04097e10 - 6.01006e9i) q^{80} +(-1.40003e11 + 2.42493e11i) q^{81} +(-2.01498e11 + 1.16335e11i) q^{82} +4.13229e11i q^{83} +(1.26643e9 + 9.31143e9i) q^{84} -8.18404e10 q^{85} +(-1.64518e11 - 2.84953e11i) q^{86} +(-1.54090e10 - 8.89637e9i) q^{87} +(1.58156e11 - 2.73935e11i) q^{88} +(-2.25422e11 + 1.30148e11i) q^{89} -6.87265e10i q^{90} +(7.59904e11 + 3.10960e11i) q^{91} +6.38882e10 q^{92} +(-3.41855e10 - 5.92110e10i) q^{93} +(1.67822e11 + 9.68921e10i) q^{94} +(-7.53061e10 + 1.30434e11i) q^{95} +(-6.41112e9 + 3.70146e9i) q^{96} -4.10959e11i q^{97} +(1.56937e11 - 6.06407e11i) q^{98} +1.80856e12 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 \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\)

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
\(3\) −33.7761 19.5006i −0.0463321 0.0267498i 0.476655 0.879090i \(-0.341849\pi\)
−0.522987 + 0.852341i \(0.675182\pi\)
\(4\) −1024.00 + 1773.62i −0.250000 + 0.433013i
\(5\) 2481.87 1432.91i 0.158840 0.0917063i −0.418473 0.908229i \(-0.637435\pi\)
0.577313 + 0.816523i \(0.304101\pi\)
\(6\) 1764.99i 0.0378300i
\(7\) −44556.8 + 108885.i −0.378727 + 0.925509i
\(8\) −92681.9 −0.353553
\(9\) −264960. 458924.i −0.498569 0.863547i
\(10\) 112317. + 64846.2i 0.112317 + 0.0648462i
\(11\) −1.70644e6 + 2.95565e6i −0.963243 + 1.66839i −0.248980 + 0.968509i \(0.580095\pi\)
−0.714263 + 0.699878i \(0.753238\pi\)
\(12\) 69173.4 39937.3i 0.0231660 0.0133749i
\(13\) 6.97895e6i 1.44587i −0.690915 0.722936i \(-0.742792\pi\)
0.690915 0.722936i \(-0.257208\pi\)
\(14\) −5.27561e6 + 717526.i −0.700656 + 0.0952949i
\(15\) −111771. −0.00981251
\(16\) −2.09715e6 3.63237e6i −0.125000 0.216506i
\(17\) −2.47314e7 1.42787e7i −1.02460 0.591555i −0.109169 0.994023i \(-0.534819\pi\)
−0.915434 + 0.402468i \(0.868152\pi\)
\(18\) 1.19907e7 2.07685e7i 0.352541 0.610620i
\(19\) −4.55136e7 + 2.62773e7i −0.967431 + 0.558546i −0.898452 0.439072i \(-0.855307\pi\)
−0.0689787 + 0.997618i \(0.521974\pi\)
\(20\) 5.86920e6i 0.0917063i
\(21\) 3.62828e6 2.80883e6i 0.0423044 0.0327498i
\(22\) −1.54450e8 −1.36223
\(23\) −1.55977e7 2.70160e7i −0.105364 0.182496i 0.808523 0.588465i \(-0.200268\pi\)
−0.913887 + 0.405969i \(0.866934\pi\)
\(24\) 3.13043e6 + 1.80735e6i 0.0163809 + 0.00945749i
\(25\) −1.17964e8 + 2.04319e8i −0.483180 + 0.836892i
\(26\) 2.73518e8 1.57916e8i 0.885412 0.511193i
\(27\) 4.13944e7i 0.106846i
\(28\) −1.47495e8 1.90525e8i −0.306075 0.395371i
\(29\) 4.56209e8 0.766966 0.383483 0.923548i \(-0.374724\pi\)
0.383483 + 0.923548i \(0.374724\pi\)
\(30\) −2.52908e6 4.38050e6i −0.00346925 0.00600891i
\(31\) 1.51818e9 + 8.76523e8i 1.71062 + 0.987628i 0.933719 + 0.358006i \(0.116543\pi\)
0.776902 + 0.629622i \(0.216790\pi\)
\(32\) 9.49063e7 1.64382e8i 0.0883883 0.153093i
\(33\) 1.15274e8 6.65534e7i 0.0892581 0.0515332i
\(34\) 1.29236e9i 0.836585i
\(35\) 4.54383e7 + 3.34085e8i 0.0247180 + 0.181739i
\(36\) 1.08528e9 0.498569
\(37\) 9.08379e8 + 1.57336e9i 0.354043 + 0.613221i 0.986954 0.161004i \(-0.0514731\pi\)
−0.632910 + 0.774225i \(0.718140\pi\)
\(38\) −2.05971e9 1.18918e9i −0.684077 0.394952i
\(39\) −1.36094e8 + 2.35721e8i −0.0386768 + 0.0669902i
\(40\) −2.30025e8 + 1.32805e8i −0.0561584 + 0.0324231i
\(41\) 5.14132e9i 1.08236i 0.840907 + 0.541180i \(0.182022\pi\)
−0.840907 + 0.541180i \(0.817978\pi\)
\(42\) 1.92182e8 + 7.86426e7i 0.0350120 + 0.0143272i
\(43\) −7.27073e9 −1.15018 −0.575092 0.818089i \(-0.695034\pi\)
−0.575092 + 0.818089i \(0.695034\pi\)
\(44\) −3.49480e9 6.05317e9i −0.481622 0.834193i
\(45\) −1.31519e9 7.59328e8i −0.158385 0.0914438i
\(46\) 7.05871e8 1.22260e9i 0.0745038 0.129044i
\(47\) 3.70838e9 2.14103e9i 0.344031 0.198626i −0.318022 0.948083i \(-0.603019\pi\)
0.662053 + 0.749457i \(0.269685\pi\)
\(48\) 1.63583e8i 0.0133749i
\(49\) −9.87067e9 9.70315e9i −0.713132 0.701030i
\(50\) −1.06769e10 −0.683320
\(51\) 5.56887e8 + 9.64556e8i 0.0316480 + 0.0548159i
\(52\) 1.23780e10 + 7.14644e9i 0.626081 + 0.361468i
\(53\) 3.61377e9 6.25923e9i 0.163044 0.282401i −0.772915 0.634510i \(-0.781202\pi\)
0.935959 + 0.352109i \(0.114535\pi\)
\(54\) −1.62232e9 + 9.36648e8i −0.0654297 + 0.0377758i
\(55\) 9.78073e9i 0.353342i
\(56\) 4.12961e9 1.00917e10i 0.133900 0.327217i
\(57\) 2.04970e9 0.0597641
\(58\) 1.03228e10 + 1.78797e10i 0.271163 + 0.469669i
\(59\) −4.46587e9 2.57837e9i −0.105875 0.0611270i 0.446127 0.894969i \(-0.352803\pi\)
−0.552003 + 0.833842i \(0.686136\pi\)
\(60\) 1.14453e8 1.98239e8i 0.00245313 0.00424894i
\(61\) 4.42661e9 2.55570e9i 0.0859196 0.0496057i −0.456425 0.889762i \(-0.650870\pi\)
0.542344 + 0.840156i \(0.317537\pi\)
\(62\) 7.93338e10i 1.39672i
\(63\) 6.17758e10 8.40201e9i 0.988041 0.134382i
\(64\) 8.58993e9 0.125000
\(65\) −1.00002e10 1.73209e10i −0.132596 0.229662i
\(66\) 5.21670e9 + 3.01186e9i 0.0631150 + 0.0364395i
\(67\) 3.79522e10 6.57352e10i 0.419555 0.726690i −0.576340 0.817210i \(-0.695520\pi\)
0.995895 + 0.0905201i \(0.0288529\pi\)
\(68\) 5.06500e10 2.92428e10i 0.512301 0.295777i
\(69\) 1.21666e9i 0.0112739i
\(70\) −1.20653e10 + 9.34030e9i −0.102553 + 0.0793912i
\(71\) −1.13092e11 −0.882838 −0.441419 0.897301i \(-0.645525\pi\)
−0.441419 + 0.897301i \(0.645525\pi\)
\(72\) 2.45570e10 + 4.25340e10i 0.176271 + 0.305310i
\(73\) 1.51188e11 + 8.72887e10i 0.999037 + 0.576794i 0.907963 0.419050i \(-0.137637\pi\)
0.0910734 + 0.995844i \(0.470970\pi\)
\(74\) −4.11085e10 + 7.12021e10i −0.250347 + 0.433613i
\(75\) 7.96871e9 4.60074e9i 0.0447734 0.0258500i
\(76\) 1.07632e11i 0.558546i
\(77\) −2.45792e11 3.17501e11i −1.17930 1.52335i
\(78\) −1.23178e10 −0.0546973
\(79\) −1.13044e11 1.95798e11i −0.465036 0.805465i 0.534168 0.845379i \(-0.320625\pi\)
−0.999203 + 0.0399134i \(0.987292\pi\)
\(80\) −1.04097e10 6.01006e9i −0.0397100 0.0229266i
\(81\) −1.40003e11 + 2.42493e11i −0.495711 + 0.858596i
\(82\) −2.01498e11 + 1.16335e11i −0.662807 + 0.382672i
\(83\) 4.13229e11i 1.26393i 0.774998 + 0.631964i \(0.217751\pi\)
−0.774998 + 0.631964i \(0.782249\pi\)
\(84\) 1.26643e9 + 9.31143e9i 0.00360500 + 0.0265058i
\(85\) −8.18404e10 −0.216997
\(86\) −1.64518e11 2.84953e11i −0.406652 0.704341i
\(87\) −1.54090e10 8.89637e9i −0.0355351 0.0205162i
\(88\) 1.58156e11 2.73935e11i 0.340558 0.589864i
\(89\) −2.25422e11 + 1.30148e11i −0.453583 + 0.261876i −0.709342 0.704864i \(-0.751008\pi\)
0.255759 + 0.966741i \(0.417675\pi\)
\(90\) 6.87265e10i 0.129321i
\(91\) 7.59904e11 + 3.10960e11i 1.33817 + 0.547590i
\(92\) 6.38882e10 0.105364
\(93\) −3.41855e10 5.92110e10i −0.0528377 0.0915176i
\(94\) 1.67822e11 + 9.68921e10i 0.243266 + 0.140450i
\(95\) −7.53061e10 + 1.30434e11i −0.102444 + 0.177439i
\(96\) −6.41112e9 + 3.70146e9i −0.00819043 + 0.00472875i
\(97\) 4.10959e11i 0.493364i −0.969096 0.246682i \(-0.920660\pi\)
0.969096 0.246682i \(-0.0793404\pi\)
\(98\) 1.56937e11 6.06407e11i 0.177161 0.684554i
\(99\) 1.80856e12 1.92097
\(100\) −2.41590e11 4.18446e11i −0.241590 0.418446i
\(101\) 1.20728e12 + 6.97024e11i 1.13731 + 0.656628i 0.945764 0.324855i \(-0.105315\pi\)
0.191550 + 0.981483i \(0.438649\pi\)
\(102\) −2.52018e10 + 4.36508e10i −0.0223785 + 0.0387607i
\(103\) −1.25187e12 + 7.22767e11i −1.04842 + 0.605306i −0.922207 0.386698i \(-0.873616\pi\)
−0.126213 + 0.992003i \(0.540282\pi\)
\(104\) 6.46822e11i 0.511193i
\(105\) 4.98014e9 1.21702e10i 0.00371626 0.00908156i
\(106\) 3.27081e11 0.230579
\(107\) −2.85284e11 4.94126e11i −0.190097 0.329257i 0.755186 0.655511i \(-0.227547\pi\)
−0.945282 + 0.326254i \(0.894213\pi\)
\(108\) −7.34179e10 4.23879e10i −0.0462658 0.0267115i
\(109\) −1.41409e11 + 2.44928e11i −0.0843176 + 0.146042i −0.905100 0.425198i \(-0.860204\pi\)
0.820783 + 0.571241i \(0.193538\pi\)
\(110\) −3.83325e11 + 2.21313e11i −0.216377 + 0.124925i
\(111\) 7.08558e10i 0.0378824i
\(112\) 4.88954e11 6.65017e10i 0.247719 0.0336918i
\(113\) −1.58024e12 −0.759017 −0.379509 0.925188i \(-0.623907\pi\)
−0.379509 + 0.925188i \(0.623907\pi\)
\(114\) 4.63793e10 + 8.03313e10i 0.0211298 + 0.0365979i
\(115\) −7.74231e10 4.47002e10i −0.0334721 0.0193251i
\(116\) −4.67158e11 + 8.09142e11i −0.191742 + 0.332106i
\(117\) −3.20281e12 + 1.84914e12i −1.24858 + 0.720867i
\(118\) 2.33367e11i 0.0864466i
\(119\) 2.65669e12 2.05667e12i 0.935534 0.724241i
\(120\) 1.03591e10 0.00346925
\(121\) −4.25469e12 7.36934e12i −1.35567 2.34810i
\(122\) 2.00325e11 + 1.15658e11i 0.0607543 + 0.0350765i
\(123\) 1.00259e11 1.73654e11i 0.0289529 0.0501479i
\(124\) −3.10924e12 + 1.79512e12i −0.855311 + 0.493814i
\(125\) 1.37579e12i 0.360655i
\(126\) 1.72712e12 + 2.23099e12i 0.431617 + 0.557538i
\(127\) 5.21870e12 1.24377 0.621885 0.783109i \(-0.286367\pi\)
0.621885 + 0.783109i \(0.286367\pi\)
\(128\) 1.94368e11 + 3.36655e11i 0.0441942 + 0.0765466i
\(129\) 2.45577e11 + 1.41784e11i 0.0532904 + 0.0307672i
\(130\) 4.52558e11 7.83853e11i 0.0937592 0.162396i
\(131\) −3.96077e12 + 2.28675e12i −0.783703 + 0.452471i −0.837741 0.546068i \(-0.816124\pi\)
0.0540381 + 0.998539i \(0.482791\pi\)
\(132\) 2.72603e11i 0.0515332i
\(133\) −8.33266e11 6.12659e12i −0.150548 1.10690i
\(134\) 3.43504e12 0.593340
\(135\) 5.93145e10 + 1.02736e11i 0.00979847 + 0.0169714i
\(136\) 2.29216e12 + 1.32338e12i 0.362252 + 0.209146i
\(137\) −2.84567e12 + 4.92884e12i −0.430389 + 0.745455i −0.996907 0.0785942i \(-0.974957\pi\)
0.566518 + 0.824049i \(0.308290\pi\)
\(138\) −4.76831e10 + 2.75299e10i −0.00690383 + 0.00398593i
\(139\) 3.77435e12i 0.523304i −0.965162 0.261652i \(-0.915733\pi\)
0.965162 0.261652i \(-0.0842672\pi\)
\(140\) −6.39069e11 2.61513e11i −0.0848750 0.0347316i
\(141\) −1.67006e11 −0.0212529
\(142\) −2.55897e12 4.43227e12i −0.312130 0.540625i
\(143\) 2.06273e13 + 1.19092e13i 2.41227 + 1.39273i
\(144\) −1.11132e12 + 1.92487e12i −0.124642 + 0.215887i
\(145\) 1.13225e12 6.53707e11i 0.121825 0.0703356i
\(146\) 7.90047e12i 0.815710i
\(147\) 1.44175e11 + 5.20218e11i 0.0142885 + 0.0515563i
\(148\) −3.72072e12 −0.354043
\(149\) −3.34471e12 5.79320e12i −0.305661 0.529421i 0.671747 0.740781i \(-0.265544\pi\)
−0.977408 + 0.211360i \(0.932211\pi\)
\(150\) 3.60623e11 + 2.08206e11i 0.0316596 + 0.0182787i
\(151\) −2.61840e11 + 4.53520e11i −0.0220889 + 0.0382591i −0.876859 0.480748i \(-0.840365\pi\)
0.854770 + 0.519008i \(0.173698\pi\)
\(152\) 4.21829e12 2.43543e12i 0.342038 0.197476i
\(153\) 1.51331e13i 1.17972i
\(154\) 6.88179e12 1.68173e13i 0.515913 1.26076i
\(155\) 5.02392e12 0.362287
\(156\) −2.78720e11 4.82757e11i −0.0193384 0.0334951i
\(157\) −1.35363e13 7.81517e12i −0.903860 0.521844i −0.0254094 0.999677i \(-0.508089\pi\)
−0.878450 + 0.477833i \(0.841422\pi\)
\(158\) 5.11580e12 8.86083e12i 0.328830 0.569550i
\(159\) −2.44118e11 + 1.40941e11i −0.0151083 + 0.00872280i
\(160\) 5.43969e11i 0.0324231i
\(161\) 3.63663e12 4.94610e11i 0.208806 0.0283993i
\(162\) −1.26717e13 −0.701041
\(163\) −1.21647e12 2.10698e12i −0.0648597 0.112340i 0.831772 0.555117i \(-0.187327\pi\)
−0.896632 + 0.442777i \(0.853993\pi\)
\(164\) −9.11875e12 5.26471e12i −0.468675 0.270590i
\(165\) 1.90730e11 3.30355e11i 0.00945183 0.0163711i
\(166\) −1.61952e13 + 9.35031e12i −0.773995 + 0.446866i
\(167\) 5.39380e12i 0.248654i 0.992241 + 0.124327i \(0.0396772\pi\)
−0.992241 + 0.124327i \(0.960323\pi\)
\(168\) −3.36276e11 + 2.60327e11i −0.0149569 + 0.0115788i
\(169\) −2.54076e13 −1.09055
\(170\) −1.85184e12 3.20748e12i −0.0767201 0.132883i
\(171\) 2.41186e13 + 1.39249e13i 0.964662 + 0.556948i
\(172\) 7.44523e12 1.28955e13i 0.287546 0.498045i
\(173\) −2.20779e13 + 1.27467e13i −0.823533 + 0.475467i −0.851633 0.524138i \(-0.824388\pi\)
0.0281004 + 0.999605i \(0.491054\pi\)
\(174\) 8.05207e11i 0.0290143i
\(175\) −1.69913e13 2.19483e13i −0.591558 0.764141i
\(176\) 1.43147e13 0.481622
\(177\) 1.00560e11 + 1.74174e11i 0.00327027 + 0.00566428i
\(178\) −1.02015e13 5.88981e12i −0.320732 0.185175i
\(179\) −1.79942e13 + 3.11668e13i −0.547033 + 0.947489i 0.451443 + 0.892300i \(0.350910\pi\)
−0.998476 + 0.0551891i \(0.982424\pi\)
\(180\) 2.69352e12 1.55510e12i 0.0791927 0.0457219i
\(181\) 1.12708e13i 0.320542i −0.987073 0.160271i \(-0.948763\pi\)
0.987073 0.160271i \(-0.0512368\pi\)
\(182\) 5.00758e12 + 3.68182e13i 0.137784 + 1.01306i
\(183\) −1.99351e11 −0.00530777
\(184\) 1.44562e12 + 2.50389e12i 0.0372519 + 0.0645222i
\(185\) 4.50896e12 + 2.60325e12i 0.112473 + 0.0649360i
\(186\) 1.54706e12 2.67958e12i 0.0373619 0.0647127i
\(187\) 8.44056e13 4.87316e13i 1.97388 1.13962i
\(188\) 8.76967e12i 0.198626i
\(189\) −4.50724e12 1.84440e12i −0.0988870 0.0404655i
\(190\) −6.81593e12 −0.144878
\(191\) 4.94665e12 + 8.56784e12i 0.101885 + 0.176470i 0.912461 0.409163i \(-0.134179\pi\)
−0.810576 + 0.585633i \(0.800846\pi\)
\(192\) −2.90134e11 1.67509e11i −0.00579151 0.00334373i
\(193\) 2.19536e13 3.80247e13i 0.424777 0.735736i −0.571622 0.820517i \(-0.693686\pi\)
0.996400 + 0.0847810i \(0.0270191\pi\)
\(194\) 1.61062e13 9.29893e12i 0.302123 0.174431i
\(195\) 7.80041e11i 0.0141876i
\(196\) 2.73173e13 7.57078e12i 0.481838 0.133538i
\(197\) 3.88271e13 0.664259 0.332129 0.943234i \(-0.392233\pi\)
0.332129 + 0.943234i \(0.392233\pi\)
\(198\) 4.09230e13 + 7.08807e13i 0.679166 + 1.17635i
\(199\) −1.63961e13 9.46629e12i −0.264011 0.152427i 0.362152 0.932119i \(-0.382042\pi\)
−0.626163 + 0.779692i \(0.715376\pi\)
\(200\) 1.09331e13 1.89367e13i 0.170830 0.295886i
\(201\) −2.56375e12 + 1.48018e12i −0.0388777 + 0.0224460i
\(202\) 6.30874e13i 0.928613i
\(203\) −2.03272e13 + 4.96744e13i −0.290471 + 0.709834i
\(204\) −2.28101e12 −0.0316480
\(205\) 7.36706e12 + 1.27601e13i 0.0992592 + 0.171922i
\(206\) −5.66531e13 3.27087e13i −0.741345 0.428016i
\(207\) −8.26553e12 + 1.43163e13i −0.105063 + 0.181974i
\(208\) −2.53501e13 + 1.46359e13i −0.313040 + 0.180734i
\(209\) 1.79363e14i 2.15206i
\(210\) 5.89659e11 8.01984e10i 0.00687520 0.000935082i
\(211\) −3.19733e13 −0.362320 −0.181160 0.983454i \(-0.557985\pi\)
−0.181160 + 0.983454i \(0.557985\pi\)
\(212\) 7.40099e12 + 1.28189e13i 0.0815220 + 0.141200i
\(213\) 3.81980e12 + 2.20536e12i 0.0409037 + 0.0236158i
\(214\) 1.29105e13 2.23616e13i 0.134419 0.232820i
\(215\) −1.80451e13 + 1.04183e13i −0.182695 + 0.105479i
\(216\) 3.83651e12i 0.0377758i
\(217\) −1.63086e14 + 1.26252e14i −1.56192 + 1.20915i
\(218\) −1.27989e13 −0.119243
\(219\) −3.40437e12 5.89654e12i −0.0308583 0.0534481i
\(220\) −1.73473e13 1.00155e13i −0.153002 0.0883355i
\(221\) −9.96503e13 + 1.72599e14i −0.855313 + 1.48144i
\(222\) 2.77697e12 1.60328e12i 0.0231981 0.0133935i
\(223\) 1.78662e14i 1.45279i −0.687279 0.726394i \(-0.741195\pi\)
0.687279 0.726394i \(-0.258805\pi\)
\(224\) 1.36701e13 + 1.76582e13i 0.108214 + 0.139785i
\(225\) 1.25023e14 0.963594
\(226\) −3.57567e13 6.19324e13i −0.268353 0.464801i
\(227\) −1.41352e14 8.16094e13i −1.03311 0.596465i −0.115234 0.993338i \(-0.536762\pi\)
−0.917873 + 0.396873i \(0.870095\pi\)
\(228\) −2.09889e12 + 3.63538e12i −0.0149410 + 0.0258786i
\(229\) 1.71369e14 9.89401e13i 1.18828 0.686056i 0.230367 0.973104i \(-0.426007\pi\)
0.957916 + 0.287048i \(0.0926739\pi\)
\(230\) 4.04580e12i 0.0273299i
\(231\) 2.11044e12 + 1.55170e13i 0.0138900 + 0.102126i
\(232\) −4.22823e13 −0.271163
\(233\) 9.54556e13 + 1.65334e14i 0.596576 + 1.03330i 0.993322 + 0.115372i \(0.0368059\pi\)
−0.396746 + 0.917928i \(0.629861\pi\)
\(234\) −1.44943e14 8.36826e13i −0.882878 0.509730i
\(235\) 6.13582e12 1.06276e13i 0.0364305 0.0630995i
\(236\) 9.14610e12 5.28050e12i 0.0529375 0.0305635i
\(237\) 8.81774e12i 0.0497585i
\(238\) 1.40719e14 + 5.75834e13i 0.774266 + 0.316837i
\(239\) −1.79102e14 −0.960979 −0.480490 0.877000i \(-0.659541\pi\)
−0.480490 + 0.877000i \(0.659541\pi\)
\(240\) 2.34400e11 + 4.05993e11i 0.00122656 + 0.00212447i
\(241\) 1.71712e14 + 9.91377e13i 0.876390 + 0.505984i 0.869466 0.493992i \(-0.164463\pi\)
0.00692345 + 0.999976i \(0.497796\pi\)
\(242\) 1.92545e14 3.33498e14i 0.958607 1.66036i
\(243\) 2.85089e13 1.64596e13i 0.138466 0.0799434i
\(244\) 1.04682e13i 0.0496057i
\(245\) −3.84015e13 9.93822e12i −0.177563 0.0459528i
\(246\) 9.07440e12 0.0409456
\(247\) 1.83388e14 + 3.17637e14i 0.807587 + 1.39878i
\(248\) −1.40708e14 8.12378e13i −0.604796 0.349179i
\(249\) 8.05823e12 1.39573e13i 0.0338099 0.0585604i
\(250\) −5.39198e13 + 3.11306e13i −0.220855 + 0.127511i
\(251\) 2.18276e14i 0.872897i 0.899729 + 0.436448i \(0.143764\pi\)
−0.899729 + 0.436448i \(0.856236\pi\)
\(252\) −4.83564e13 + 1.18170e14i −0.188821 + 0.461430i
\(253\) 1.06466e14 0.405966
\(254\) 1.18086e14 + 2.04530e14i 0.439739 + 0.761650i
\(255\) 2.76425e12 + 1.59594e12i 0.0100539 + 0.00580464i
\(256\) −8.79609e12 + 1.52353e13i −0.0312500 + 0.0541266i
\(257\) 3.59299e14 2.07441e14i 1.24697 0.719941i 0.276469 0.961023i \(-0.410836\pi\)
0.970505 + 0.241082i \(0.0775023\pi\)
\(258\) 1.28328e13i 0.0435114i
\(259\) −2.11790e14 + 2.88051e13i −0.701627 + 0.0954270i
\(260\) 4.09609e13 0.132596
\(261\) −1.20877e14 2.09365e14i −0.382385 0.662311i
\(262\) −1.79244e14 1.03486e14i −0.554162 0.319945i
\(263\) −5.88475e13 + 1.01927e14i −0.177825 + 0.308003i −0.941135 0.338030i \(-0.890240\pi\)
0.763310 + 0.646032i \(0.223573\pi\)
\(264\) −1.06838e13 + 6.16830e12i −0.0315575 + 0.0182197i
\(265\) 2.07128e13i 0.0598087i
\(266\) 2.21258e14 1.71286e14i 0.624610 0.483540i
\(267\) 1.01518e13 0.0280206
\(268\) 7.77262e13 + 1.34626e14i 0.209777 + 0.363345i
\(269\) 3.43540e14 + 1.98343e14i 0.906700 + 0.523483i 0.879368 0.476143i \(-0.157966\pi\)
0.0273318 + 0.999626i \(0.491299\pi\)
\(270\) −2.68427e12 + 4.64929e12i −0.00692856 + 0.0120006i
\(271\) −1.79827e14 + 1.03823e14i −0.453983 + 0.262107i −0.709511 0.704694i \(-0.751084\pi\)
0.255528 + 0.966802i \(0.417751\pi\)
\(272\) 1.19778e14i 0.295777i
\(273\) −1.96027e13 2.53216e13i −0.0473521 0.0611667i
\(274\) −2.57561e14 −0.608662
\(275\) −4.02597e14 6.97319e14i −0.930839 1.61226i
\(276\) −2.15789e12 1.24586e12i −0.00488175 0.00281848i
\(277\) −1.57997e14 + 2.73658e14i −0.349759 + 0.605801i −0.986207 0.165520i \(-0.947070\pi\)
0.636447 + 0.771320i \(0.280403\pi\)
\(278\) 1.47924e14 8.54039e13i 0.320457 0.185016i
\(279\) 9.28974e14i 1.96960i
\(280\) −4.21131e12 3.09637e13i −0.00873914 0.0642546i
\(281\) −3.27034e14 −0.664286 −0.332143 0.943229i \(-0.607772\pi\)
−0.332143 + 0.943229i \(0.607772\pi\)
\(282\) −3.77891e12 6.54527e12i −0.00751402 0.0130147i
\(283\) 6.95128e13 + 4.01332e13i 0.135315 + 0.0781242i 0.566129 0.824316i \(-0.308440\pi\)
−0.430814 + 0.902441i \(0.641774\pi\)
\(284\) 1.15806e14 2.00582e14i 0.220709 0.382280i
\(285\) 5.08709e12 2.93703e12i 0.00949292 0.00548074i
\(286\) 1.07790e15i 1.96961i
\(287\) −5.59814e14 2.29081e14i −1.00173 0.409918i
\(288\) −1.00585e14 −0.176271
\(289\) 1.16451e14 + 2.01699e14i 0.199874 + 0.346192i
\(290\) 5.12400e13 + 2.95834e13i 0.0861432 + 0.0497348i
\(291\) −8.01395e12 + 1.38806e13i −0.0131974 + 0.0228586i
\(292\) −3.09634e14 + 1.78767e14i −0.499518 + 0.288397i
\(293\) 3.68606e14i 0.582581i 0.956635 + 0.291290i \(0.0940846\pi\)
−0.956635 + 0.291290i \(0.905915\pi\)
\(294\) −1.71260e13 + 1.74217e13i −0.0265199 + 0.0269778i
\(295\) −1.47783e13 −0.0224229
\(296\) −8.41903e13 1.45822e14i −0.125173 0.216806i
\(297\) −1.22347e14 7.06372e13i −0.178261 0.102919i
\(298\) 1.51364e14 2.62170e14i 0.216135 0.374357i
\(299\) −1.88543e14 + 1.08856e14i −0.263866 + 0.152343i
\(300\) 1.88446e13i 0.0258500i
\(301\) 3.23961e14 7.91675e14i 0.435606 1.06451i
\(302\) −2.36990e13 −0.0312384
\(303\) −2.71848e13 4.70855e13i −0.0351294 0.0608459i
\(304\) 1.90898e14 + 1.10215e14i 0.241858 + 0.139637i
\(305\) 7.32419e12 1.26859e13i 0.00909831 0.0157587i
\(306\) −5.93095e14 + 3.42424e14i −0.722430 + 0.417095i
\(307\) 6.36629e14i 0.760425i 0.924899 + 0.380212i \(0.124149\pi\)
−0.924899 + 0.380212i \(0.875851\pi\)
\(308\) 8.14817e14 1.10822e14i 0.954456 0.129814i
\(309\) 5.63776e13 0.0647673
\(310\) 1.13678e14 + 1.96897e14i 0.128088 + 0.221854i
\(311\) 1.14101e15 + 6.58762e14i 1.26103 + 0.728059i 0.973275 0.229644i \(-0.0737561\pi\)
0.287760 + 0.957703i \(0.407089\pi\)
\(312\) 1.26134e13 2.18471e13i 0.0136743 0.0236846i
\(313\) 6.11719e14 3.53176e14i 0.650558 0.375600i −0.138112 0.990417i \(-0.544103\pi\)
0.788670 + 0.614817i \(0.210770\pi\)
\(314\) 7.07348e14i 0.737999i
\(315\) 1.41280e14 1.09372e14i 0.144617 0.111955i
\(316\) 4.63030e14 0.465036
\(317\) −3.73216e14 6.46429e14i −0.367794 0.637038i 0.621426 0.783473i \(-0.286554\pi\)
−0.989220 + 0.146435i \(0.953220\pi\)
\(318\) −1.10475e13 6.37828e12i −0.0106832 0.00616795i
\(319\) −7.78496e14 + 1.34839e15i −0.738775 + 1.27960i
\(320\) 2.13191e13 1.23086e13i 0.0198550 0.0114633i
\(321\) 2.22528e13i 0.0203402i
\(322\) 1.01672e14 + 1.31334e14i 0.0912151 + 0.117826i
\(323\) 1.50082e15 1.32164
\(324\) −2.86727e14 4.96626e14i −0.247855 0.429298i
\(325\) 1.42593e15 + 8.23264e14i 1.21004 + 0.698616i
\(326\) 5.50510e13 9.53512e13i 0.0458627 0.0794366i
\(327\) 9.55249e12 5.51513e12i 0.00781322 0.00451096i
\(328\) 4.76507e14i 0.382672i
\(329\) 6.78932e13 + 4.99185e14i 0.0535366 + 0.393628i
\(330\) 1.72629e13 0.0133669
\(331\) −5.66623e14 9.81420e14i −0.430850 0.746255i 0.566096 0.824339i \(-0.308453\pi\)
−0.996947 + 0.0780844i \(0.975120\pi\)
\(332\) −7.32912e14 4.23147e14i −0.547297 0.315982i
\(333\) 4.81368e14 8.33754e14i 0.353030 0.611466i
\(334\) −2.11393e14 + 1.22048e14i −0.152269 + 0.0879126i
\(335\) 2.17529e14i 0.153903i
\(336\) −1.78118e13 7.28874e12i −0.0123786 0.00506544i
\(337\) −5.02783e13 −0.0343242 −0.0171621 0.999853i \(-0.505463\pi\)
−0.0171621 + 0.999853i \(0.505463\pi\)
\(338\) −5.74909e14 9.95772e14i −0.385566 0.667820i
\(339\) 5.33742e13 + 3.08156e13i 0.0351668 + 0.0203036i
\(340\) 8.38046e13 1.45154e14i 0.0542493 0.0939626i
\(341\) −5.18139e15 + 2.99148e15i −3.29549 + 1.90265i
\(342\) 1.26034e15i 0.787643i
\(343\) 1.49633e15 6.42427e14i 0.918891 0.394511i
\(344\) 6.73865e14 0.406652
\(345\) 1.74336e12 + 3.01960e12i 0.00103389 + 0.00179075i
\(346\) −9.99131e14 5.76849e14i −0.582326 0.336206i
\(347\) −4.20033e14 + 7.27518e14i −0.240606 + 0.416742i −0.960887 0.276941i \(-0.910679\pi\)
0.720281 + 0.693682i \(0.244013\pi\)
\(348\) 3.15575e13 1.82198e13i 0.0177676 0.0102581i
\(349\) 4.32312e14i 0.239246i 0.992819 + 0.119623i \(0.0381686\pi\)
−0.992819 + 0.119623i \(0.961831\pi\)
\(350\) 4.75727e14 1.16255e15i 0.258791 0.632418i
\(351\) 2.88889e14 0.154486
\(352\) 3.23904e14 + 5.61019e14i 0.170279 + 0.294932i
\(353\) −2.08818e15 1.20561e15i −1.07925 0.623103i −0.148553 0.988904i \(-0.547462\pi\)
−0.930693 + 0.365802i \(0.880795\pi\)
\(354\) −4.55081e12 + 7.88223e12i −0.00231243 + 0.00400525i
\(355\) −2.80680e14 + 1.62050e14i −0.140230 + 0.0809618i
\(356\) 5.33085e14i 0.261876i
\(357\) −1.29839e14 + 1.76591e13i −0.0627185 + 0.00853022i
\(358\) −1.62865e15 −0.773622
\(359\) −3.22382e14 5.58381e14i −0.150593 0.260834i 0.780853 0.624715i \(-0.214785\pi\)
−0.931445 + 0.363881i \(0.881451\pi\)
\(360\) 1.21895e14 + 7.03760e13i 0.0559977 + 0.0323303i
\(361\) 2.74336e14 4.75164e14i 0.123948 0.214684i
\(362\) 4.41725e14 2.55030e14i 0.196291 0.113329i
\(363\) 3.31876e14i 0.145056i
\(364\) −1.32967e15 + 1.02936e15i −0.571655 + 0.442546i
\(365\) 5.00308e14 0.211583
\(366\) −4.51080e12 7.81294e12i −0.00187658 0.00325033i
\(367\) 1.22970e15 + 7.09969e14i 0.503273 + 0.290565i 0.730064 0.683379i \(-0.239490\pi\)
−0.226791 + 0.973943i \(0.572823\pi\)
\(368\) −6.54215e13 + 1.13313e14i −0.0263411 + 0.0456241i
\(369\) 2.35948e15 1.36224e15i 0.934668 0.539631i
\(370\) 2.35619e14i 0.0918334i
\(371\) 5.20519e14 + 6.72377e14i 0.199615 + 0.257851i
\(372\) 1.40024e14 0.0528377
\(373\) −1.45705e15 2.52368e15i −0.541030 0.937092i −0.998845 0.0480443i \(-0.984701\pi\)
0.457815 0.889047i \(-0.348632\pi\)
\(374\) 3.81976e15 + 2.20534e15i 1.39575 + 0.805835i
\(375\) 2.68288e13 4.64688e13i 0.00964746 0.0167099i
\(376\) −3.43700e14 + 1.98435e14i −0.121633 + 0.0702249i
\(377\) 3.18386e15i 1.10893i
\(378\) −2.97016e13 2.18381e14i −0.0101819 0.0748624i
\(379\) 1.27572e15 0.430446 0.215223 0.976565i \(-0.430952\pi\)
0.215223 + 0.976565i \(0.430952\pi\)
\(380\) −1.54227e14 2.67129e14i −0.0512222 0.0887195i
\(381\) −1.76267e14 1.01768e14i −0.0576264 0.0332706i
\(382\) −2.23860e14 + 3.87736e14i −0.0720437 + 0.124783i
\(383\) 2.23693e15 1.29149e15i 0.708696 0.409166i −0.101882 0.994797i \(-0.532486\pi\)
0.810578 + 0.585630i \(0.199153\pi\)
\(384\) 1.51612e13i 0.00472875i
\(385\) −1.06498e15 4.35798e14i −0.327021 0.133820i
\(386\) 1.98701e15 0.600726
\(387\) 1.92645e15 + 3.33672e15i 0.573446 + 0.993238i
\(388\) 7.28885e14 + 4.20822e14i 0.213633 + 0.123341i
\(389\) −1.93820e15 + 3.35706e15i −0.559373 + 0.968862i 0.438176 + 0.898889i \(0.355625\pi\)
−0.997549 + 0.0699729i \(0.977709\pi\)
\(390\) −3.05713e13 + 1.76503e13i −0.00868812 + 0.00501609i
\(391\) 8.90859e14i 0.249315i
\(392\) 9.14832e14 + 8.99307e14i 0.252130 + 0.247851i
\(393\) 1.78372e14 0.0484141
\(394\) 8.78556e14 + 1.52170e15i 0.234851 + 0.406774i
\(395\) −5.61124e14 3.23965e14i −0.147732 0.0852934i
\(396\) −1.85196e15 + 3.20769e15i −0.480243 + 0.831805i
\(397\) 6.39369e13 3.69140e13i 0.0163308 0.00942861i −0.491812 0.870701i \(-0.663665\pi\)
0.508143 + 0.861273i \(0.330332\pi\)
\(398\) 8.56791e14i 0.215564i
\(399\) −9.13279e13 + 2.23181e14i −0.0226343 + 0.0553122i
\(400\) 9.89552e14 0.241590
\(401\) 2.01262e15 + 3.48596e15i 0.484055 + 0.838409i 0.999832 0.0183143i \(-0.00582995\pi\)
−0.515777 + 0.856723i \(0.672497\pi\)
\(402\) −1.16022e14 6.69855e13i −0.0274907 0.0158717i
\(403\) 6.11721e15 1.05953e16i 1.42798 2.47334i
\(404\) −2.47251e15 + 1.42751e15i −0.568657 + 0.328314i
\(405\) 8.02449e14i 0.181839i
\(406\) −2.40678e15 + 3.27342e14i −0.537379 + 0.0730879i
\(407\) −6.20039e15 −1.36412
\(408\) −5.16133e13 8.93969e13i −0.0111892 0.0193803i
\(409\) −4.98822e15 2.87995e15i −1.06563 0.615240i −0.138644 0.990342i \(-0.544274\pi\)
−0.926984 + 0.375102i \(0.877608\pi\)
\(410\) −3.33395e14 + 5.77457e14i −0.0701869 + 0.121567i
\(411\) 1.92231e14 1.10985e14i 0.0398816 0.0230256i
\(412\) 2.96045e15i 0.605306i
\(413\) 4.79731e14 3.71383e14i 0.0966713 0.0748379i
\(414\) −7.48110e14 −0.148581
\(415\) 5.92121e14 + 1.02558e15i 0.115910 + 0.200762i
\(416\) −1.14722e15 6.62346e14i −0.221353 0.127798i
\(417\) −7.36023e13 + 1.27483e14i −0.0139983 + 0.0242457i
\(418\) 7.02957e15 4.05852e15i 1.31786 0.760870i
\(419\) 9.49384e15i 1.75452i 0.480018 + 0.877259i \(0.340630\pi\)
−0.480018 + 0.877259i \(0.659370\pi\)
\(420\) 1.64856e13 + 2.12951e13i 0.00300337 + 0.00387958i
\(421\) −8.68328e15 −1.55952 −0.779761 0.626078i \(-0.784659\pi\)
−0.779761 + 0.626078i \(0.784659\pi\)
\(422\) −7.23473e14 1.25309e15i −0.128100 0.221875i
\(423\) −1.96514e15 1.13458e15i −0.343046 0.198058i
\(424\) −3.34931e14 + 5.80117e14i −0.0576448 + 0.0998437i
\(425\) 5.83483e15 3.36874e15i 0.990135 0.571655i
\(426\) 1.99606e14i 0.0333977i
\(427\) 8.10426e13 + 5.95866e14i 0.0133704 + 0.0983063i
\(428\) 1.16852e15 0.190097
\(429\) −4.64473e14 8.04491e14i −0.0745104 0.129056i
\(430\) −8.16626e14 4.71479e14i −0.129185 0.0745850i
\(431\) −1.34756e14 + 2.33405e14i −0.0210226 + 0.0364121i −0.876345 0.481683i \(-0.840026\pi\)
0.855323 + 0.518096i \(0.173359\pi\)
\(432\) 1.50360e14 8.68103e13i 0.0231329 0.0133558i
\(433\) 5.06968e15i 0.769224i −0.923078 0.384612i \(-0.874335\pi\)
0.923078 0.384612i \(-0.125665\pi\)
\(434\) −8.63828e15 3.53486e15i −1.29267 0.528974i
\(435\) −5.09908e13 −0.00752586
\(436\) −2.89606e14 5.01612e14i −0.0421588 0.0730212i
\(437\) 1.41982e15 + 8.19731e14i 0.203865 + 0.117702i
\(438\) 1.54064e14 2.66847e14i 0.0218201 0.0377935i
\(439\) 1.41866e14 8.19063e13i 0.0198194 0.0114427i −0.490058 0.871690i \(-0.663024\pi\)
0.509877 + 0.860247i \(0.329691\pi\)
\(440\) 9.06497e14i 0.124925i
\(441\) −1.83768e15 + 7.10083e15i −0.249826 + 0.965334i
\(442\) −9.01931e15 −1.20959
\(443\) 4.35743e15 + 7.54729e15i 0.576512 + 0.998548i 0.995876 + 0.0907297i \(0.0289199\pi\)
−0.419364 + 0.907818i \(0.637747\pi\)
\(444\) 1.25671e14 + 7.25563e13i 0.0164036 + 0.00947060i
\(445\) −3.72980e14 + 6.46020e14i −0.0480314 + 0.0831929i
\(446\) 7.00208e15 4.04265e15i 0.889647 0.513638i
\(447\) 2.60895e14i 0.0327055i
\(448\) −3.82740e14 + 9.35316e14i −0.0473408 + 0.115689i
\(449\) 5.38504e15 0.657220 0.328610 0.944466i \(-0.393420\pi\)
0.328610 + 0.944466i \(0.393420\pi\)
\(450\) 2.82894e15 + 4.89987e15i 0.340682 + 0.590078i
\(451\) −1.51959e16 8.77338e15i −1.80579 1.04258i
\(452\) 1.61816e15 2.80274e15i 0.189754 0.328664i
\(453\) 1.76878e13 1.02121e13i 0.00204685 0.00118175i
\(454\) 7.38644e15i 0.843529i
\(455\) 2.33156e15 3.17111e14i 0.262772 0.0357391i
\(456\) −1.89970e14 −0.0211298
\(457\) 6.62808e15 + 1.14802e16i 0.727596 + 1.26023i 0.957896 + 0.287114i \(0.0926959\pi\)
−0.230300 + 0.973120i \(0.573971\pi\)
\(458\) 7.75529e15 + 4.47752e15i 0.840243 + 0.485115i
\(459\) 5.91058e14 1.02374e15i 0.0632054 0.109475i
\(460\) 1.58562e14 9.15461e13i 0.0167361 0.00966257i
\(461\) 1.36310e16i 1.42011i 0.704144 + 0.710057i \(0.251331\pi\)
−0.704144 + 0.710057i \(0.748669\pi\)
\(462\) −5.60387e14 + 4.33822e14i −0.0576284 + 0.0446129i
\(463\) 1.32894e16 1.34902 0.674511 0.738265i \(-0.264354\pi\)
0.674511 + 0.738265i \(0.264354\pi\)
\(464\) −9.56740e14 1.65712e15i −0.0958708 0.166053i
\(465\) −1.69688e14 9.79695e13i −0.0167855 0.00969111i
\(466\) −4.31983e15 + 7.48216e15i −0.421843 + 0.730654i
\(467\) −5.95361e15 + 3.43732e15i −0.573957 + 0.331374i −0.758728 0.651407i \(-0.774179\pi\)
0.184771 + 0.982782i \(0.440846\pi\)
\(468\) 7.57408e15i 0.720867i
\(469\) 5.46656e15 + 7.06139e15i 0.513661 + 0.663518i
\(470\) 5.55351e14 0.0515206
\(471\) 3.04801e14 + 5.27931e14i 0.0279185 + 0.0483562i
\(472\) 4.13905e14 + 2.38968e14i 0.0374325 + 0.0216117i
\(473\) 1.24071e16 2.14897e16i 1.10791 1.91895i
\(474\) −3.45583e14 + 1.99523e14i −0.0304707 + 0.0175923i
\(475\) 1.23991e16i 1.07951i
\(476\) 9.27302e14 + 6.81799e15i 0.0797222 + 0.586158i
\(477\) −3.83001e15 −0.325155
\(478\) −4.05263e15 7.01935e15i −0.339758 0.588477i
\(479\) 2.96526e15 + 1.71199e15i 0.245499 + 0.141739i 0.617701 0.786413i \(-0.288064\pi\)
−0.372203 + 0.928151i \(0.621397\pi\)
\(480\) −1.06077e13 + 1.83731e13i −0.000867312 + 0.00150223i
\(481\) 1.09804e16 6.33953e15i 0.886640 0.511902i
\(482\) 8.97292e15i 0.715569i
\(483\) −1.32476e14 5.42105e13i −0.0104341 0.00426973i
\(484\) 1.74272e16 1.35567
\(485\) −5.88867e14 1.01995e15i −0.0452446 0.0783660i
\(486\) 1.29017e15 + 7.44879e14i 0.0979103 + 0.0565285i
\(487\) −7.91361e15 + 1.37068e16i −0.593200 + 1.02745i 0.400598 + 0.916254i \(0.368802\pi\)
−0.993798 + 0.111199i \(0.964531\pi\)
\(488\) −4.10266e14 + 2.36867e14i −0.0303772 + 0.0175383i
\(489\) 9.48875e13i 0.00693994i
\(490\) −4.79430e14 1.72990e15i −0.0346377 0.124981i
\(491\) −2.26555e16 −1.61690 −0.808452 0.588563i \(-0.799694\pi\)
−0.808452 + 0.588563i \(0.799694\pi\)
\(492\) 2.05330e14 + 3.55643e14i 0.0144765 + 0.0250740i
\(493\) −1.12827e16 6.51407e15i −0.785836 0.453702i
\(494\) −8.29919e15 + 1.43746e16i −0.571050 + 0.989088i
\(495\) 4.48861e15 2.59150e15i 0.305127 0.176165i
\(496\) 7.35281e15i 0.493814i
\(497\) 5.03901e15 1.23140e16i 0.334354 0.817074i
\(498\) 7.29347e14 0.0478144
\(499\) −4.53576e15 7.85617e15i −0.293797 0.508871i 0.680907 0.732369i \(-0.261586\pi\)
−0.974704 + 0.223498i \(0.928252\pi\)
\(500\) −2.44013e15 1.40881e15i −0.156168 0.0901638i
\(501\) 1.05182e14 1.82181e14i 0.00665146 0.0115207i
\(502\) −8.55462e15 + 4.93901e15i −0.534538 + 0.308616i
\(503\) 2.00202e16i 1.23612i −0.786131 0.618060i \(-0.787919\pi\)
0.786131 0.618060i \(-0.212081\pi\)
\(504\) −5.72550e15 + 7.78714e14i −0.349325 + 0.0475111i
\(505\) 3.99509e15 0.240868
\(506\) 2.40906e15 + 4.17261e15i 0.143531 + 0.248602i
\(507\) 8.58170e14 + 4.95465e14i 0.0505272 + 0.0291719i
\(508\) −5.34395e15 + 9.25599e15i −0.310942 + 0.538568i
\(509\) −1.95778e16 + 1.13032e16i −1.12579 + 0.649973i −0.942872 0.333155i \(-0.891887\pi\)
−0.182915 + 0.983129i \(0.558553\pi\)
\(510\) 1.44448e14i 0.00820900i
\(511\) −1.62409e16 + 1.25729e16i −0.912190 + 0.706170i
\(512\) −7.96131e14 −0.0441942
\(513\) −1.08773e15 1.88401e15i −0.0596785 0.103366i
\(514\) 1.62600e16 + 9.38773e15i 0.881744 + 0.509075i
\(515\) −2.07132e15 + 3.58763e15i −0.111021 + 0.192293i
\(516\) −5.02941e14 + 2.90373e14i −0.0266452 + 0.0153836i
\(517\) 1.46142e16i 0.765301i
\(518\) −5.92118e15 7.64865e15i −0.306500 0.395919i
\(519\) 9.94272e14 0.0508746
\(520\) 9.26839e14 + 1.60533e15i 0.0468796 + 0.0811979i
\(521\) 4.18618e15 + 2.41689e15i 0.209311 + 0.120846i 0.600991 0.799256i \(-0.294773\pi\)
−0.391680 + 0.920101i \(0.628106\pi\)
\(522\) 5.47028e15 9.47480e15i 0.270387 0.468325i
\(523\) −1.78991e16 + 1.03340e16i −0.874623 + 0.504964i −0.868882 0.495020i \(-0.835161\pi\)
−0.00574101 + 0.999984i \(0.501827\pi\)
\(524\) 9.36653e15i 0.452471i
\(525\) 1.45892e14 + 1.07267e15i 0.00696746 + 0.0512283i
\(526\) −5.32627e15 −0.251483
\(527\) −2.50312e16 4.33553e16i −1.16847 2.02385i
\(528\) −4.83494e14 2.79145e14i −0.0223145 0.0128833i
\(529\) 1.04707e16 1.81358e16i 0.477797 0.827568i
\(530\) 8.11774e14 4.68678e14i 0.0366252 0.0211456i
\(531\) 2.73266e15i 0.121904i
\(532\) 1.17195e16 + 4.79573e15i 0.516939 + 0.211536i
\(533\) 3.58810e16 1.56495
\(534\) 2.29710e14 + 3.97869e14i 0.00990677 + 0.0171590i
\(535\) −1.41608e15 8.17572e14i −0.0603899 0.0348661i
\(536\) −3.51749e15 + 6.09246e15i −0.148335 + 0.256924i
\(537\) 1.21554e15 7.01795e14i 0.0506903 0.0292661i
\(538\) 1.79519e16i 0.740317i
\(539\) 4.55228e16 1.26163e16i 1.85651 0.514518i
\(540\) −2.42952e14 −0.00979847
\(541\) 2.06290e16 + 3.57305e16i 0.822801 + 1.42513i 0.903588 + 0.428403i \(0.140923\pi\)
−0.0807865 + 0.996731i \(0.525743\pi\)
\(542\) −8.13805e15 4.69851e15i −0.321015 0.185338i
\(543\) −2.19789e14 + 3.80685e14i −0.00857445 + 0.0148514i
\(544\) −4.69433e15 + 2.71028e15i −0.181126 + 0.104573i
\(545\) 8.10507e14i 0.0309298i
\(546\) 5.48842e14 1.34123e15i 0.0207153 0.0506228i
\(547\) 1.32093e16 0.493124 0.246562 0.969127i \(-0.420699\pi\)
0.246562 + 0.969127i \(0.420699\pi\)
\(548\) −5.82793e15 1.00943e16i −0.215194 0.372728i
\(549\) −2.34575e15 1.35432e15i −0.0856737 0.0494637i
\(550\) 1.82195e16 3.15571e16i 0.658203 1.14004i
\(551\) −2.07637e16 + 1.19880e16i −0.741987 + 0.428386i
\(552\) 1.12762e14i 0.00398593i
\(553\) 2.63564e16 3.58469e15i 0.921586 0.125343i
\(554\) −1.43002e16 −0.494634
\(555\) −1.01530e14 1.75855e14i −0.00347406 0.00601724i
\(556\) 6.69427e15 + 3.86494e15i 0.226597 + 0.130826i
\(557\) −1.83976e16 + 3.18655e16i −0.616069 + 1.06706i 0.374127 + 0.927378i \(0.377942\pi\)
−0.990196 + 0.139685i \(0.955391\pi\)
\(558\) 3.64082e16 2.10203e16i 1.20613 0.696359i
\(559\) 5.07421e16i 1.66302i
\(560\) 1.11823e15 8.65676e14i 0.0362580 0.0280690i
\(561\) −3.80118e15 −0.121939
\(562\) −7.39994e15 1.28171e16i −0.234861 0.406790i
\(563\) 4.52579e16 + 2.61296e16i 1.42116 + 0.820508i 0.996398 0.0847958i \(-0.0270238\pi\)
0.424764 + 0.905304i \(0.360357\pi\)
\(564\) 1.71014e14 2.96205e14i 0.00531321 0.00920276i
\(565\) −3.92195e15 + 2.26434e15i −0.120562 + 0.0696067i
\(566\) 3.63244e15i 0.110484i
\(567\) −2.01658e16 2.60490e16i −0.606899 0.783958i
\(568\) 1.04816e16 0.312130
\(569\) −3.10411e16 5.37648e16i −0.914669 1.58425i −0.807385 0.590024i \(-0.799118\pi\)
−0.107284 0.994228i \(-0.534215\pi\)
\(570\) 2.30215e14 + 1.32915e14i 0.00671251 + 0.00387547i
\(571\) −4.60260e15 + 7.97194e15i −0.132796 + 0.230010i −0.924754 0.380567i \(-0.875729\pi\)
0.791957 + 0.610577i \(0.209062\pi\)
\(572\) −4.22447e16 + 2.43900e16i −1.20614 + 0.696363i
\(573\) 3.85851e14i 0.0109016i
\(574\) −3.68903e15 2.71236e16i −0.103143 0.758362i
\(575\) 7.35986e15 0.203640
\(576\) −2.27599e15 3.94213e15i −0.0623211 0.107943i
\(577\) 5.12969e16 + 2.96163e16i 1.39007 + 0.802556i 0.993322 0.115373i \(-0.0368062\pi\)
0.396746 + 0.917929i \(0.370140\pi\)
\(578\) −5.26998e15 + 9.12787e15i −0.141332 + 0.244795i
\(579\) −1.48301e15 + 8.56217e14i −0.0393616 + 0.0227254i
\(580\) 2.67759e15i 0.0703356i
\(581\) −4.49945e16 1.84122e16i −1.16978 0.478683i
\(582\) −7.25340e14 −0.0186640
\(583\) 1.23334e16 + 2.13620e16i 0.314102 + 0.544041i
\(584\) −1.40124e16 8.09008e15i −0.353213 0.203927i
\(585\) −5.29931e15 + 9.17868e15i −0.132216 + 0.229005i
\(586\) −1.44463e16 + 8.34059e15i −0.356756 + 0.205973i
\(587\) 1.82380e16i 0.445808i 0.974840 + 0.222904i \(0.0715536\pi\)
−0.974840 + 0.222904i \(0.928446\pi\)
\(588\) −1.07030e15 2.76992e14i −0.0258966 0.00670199i
\(589\) −9.21307e16 −2.20654
\(590\) −3.34395e14 5.79189e14i −0.00792770 0.0137312i
\(591\) −1.31143e15 7.57152e14i −0.0307765 0.0177688i
\(592\) 3.81002e15 6.59914e15i 0.0885109 0.153305i
\(593\) 2.24308e16 1.29504e16i 0.515842 0.297822i −0.219390 0.975637i \(-0.570407\pi\)
0.735232 + 0.677816i \(0.237073\pi\)
\(594\) 6.39335e15i 0.145549i
\(595\) 3.64655e15 8.91120e15i 0.0821826 0.200833i
\(596\) 1.36999e16 0.305661
\(597\) 3.69197e14 + 6.39468e14i 0.00815478 + 0.0141245i
\(598\) −8.53250e15 4.92624e15i −0.186582 0.107723i
\(599\) 2.44690e16 4.23816e16i 0.529732 0.917523i −0.469667 0.882844i \(-0.655626\pi\)
0.999399 0.0346788i \(-0.0110408\pi\)
\(600\) −7.38555e14 + 4.26405e14i −0.0158298 + 0.00913934i
\(601\) 2.83221e16i 0.601005i −0.953781 0.300503i \(-0.902846\pi\)
0.953781 0.300503i \(-0.0971544\pi\)
\(602\) 3.83576e16 5.21694e15i 0.805884 0.109607i
\(603\) −4.02233e16 −0.836708
\(604\) −5.36248e14 9.28809e14i −0.0110444 0.0191295i
\(605\) −2.11192e16 1.21932e16i −0.430671 0.248648i
\(606\) 1.23024e15 2.13085e15i 0.0248402 0.0430245i
\(607\) 5.41690e15 3.12745e15i 0.108298 0.0625256i −0.444873 0.895594i \(-0.646751\pi\)
0.553170 + 0.833068i \(0.313418\pi\)
\(608\) 9.97552e15i 0.197476i
\(609\) 1.65526e15 1.28141e15i 0.0324460 0.0251180i
\(610\) 6.62910e14 0.0128670
\(611\) −1.49422e16 2.58806e16i −0.287188 0.497424i
\(612\) −2.68404e16 1.54963e16i −0.510835 0.294931i
\(613\) −2.77793e16 + 4.81152e16i −0.523551 + 0.906816i 0.476074 + 0.879405i \(0.342060\pi\)
−0.999624 + 0.0274109i \(0.991274\pi\)
\(614\) −2.49507e16 + 1.44053e16i −0.465663 + 0.268851i
\(615\) 5.74649e14i 0.0106207i
\(616\) 2.27805e16 + 2.94266e16i 0.416945 + 0.538586i
\(617\) 8.06869e16 1.46249 0.731243 0.682117i \(-0.238940\pi\)
0.731243 + 0.682117i \(0.238940\pi\)
\(618\) 1.27568e15 + 2.20954e15i 0.0228987 + 0.0396617i
\(619\) −3.40981e15 1.96865e15i −0.0606158 0.0349966i 0.469386 0.882993i \(-0.344475\pi\)
−0.530002 + 0.847997i \(0.677809\pi\)
\(620\) −5.14449e15 + 8.91052e15i −0.0905717 + 0.156875i
\(621\) 1.11831e15 6.45657e14i 0.0194990 0.0112578i
\(622\) 5.96244e16i 1.02963i
\(623\) −4.12704e15 3.03441e16i −0.0705847 0.518975i
\(624\) 1.14164e15 0.0193384
\(625\) −2.68284e16 4.64681e16i −0.450106 0.779606i
\(626\) 2.76833e16 + 1.59829e16i 0.460014 + 0.265589i
\(627\) −3.49769e15 + 6.05818e15i −0.0575673 + 0.0997095i
\(628\) 2.77223e16 1.60055e16i 0.451930 0.260922i
\(629\) 5.18818e16i 0.837744i
\(630\) 7.48330e15 + 3.06224e15i 0.119688 + 0.0489774i
\(631\) 6.92232e16 1.09667 0.548334 0.836259i \(-0.315262\pi\)
0.548334 + 0.836259i \(0.315262\pi\)
\(632\) 1.04772e16 + 1.81470e16i 0.164415 + 0.284775i
\(633\) 1.07993e15 + 6.23499e14i 0.0167870 + 0.00969200i
\(634\) 1.68898e16 2.92540e16i 0.260070 0.450454i
\(635\) 1.29522e16 7.47793e15i 0.197560 0.114062i
\(636\) 5.77296e14i 0.00872280i
\(637\) −6.77178e16 + 6.88869e16i −1.01360 + 1.03110i
\(638\) −7.04614e16 −1.04479
\(639\) 2.99648e16 + 5.19005e16i 0.440155 + 0.762372i
\(640\) 9.64794e14 + 5.57024e14i 0.0140396 + 0.00810577i
\(641\) −1.58433e16 + 2.74413e16i −0.228400 + 0.395600i −0.957334 0.288983i \(-0.906683\pi\)
0.728934 + 0.684584i \(0.240016\pi\)
\(642\) −8.72129e14 + 5.03524e14i −0.0124558 + 0.00719135i
\(643\) 5.19233e16i 0.734678i −0.930087 0.367339i \(-0.880269\pi\)
0.930087 0.367339i \(-0.119731\pi\)
\(644\) −2.84665e15 + 6.95647e15i −0.0399043 + 0.0975156i
\(645\) 8.12655e14 0.0112862
\(646\) 3.39597e16 + 5.88200e16i 0.467271 + 0.809338i
\(647\) 1.04748e17 + 6.04762e16i 1.42797 + 0.824439i 0.996961 0.0779084i \(-0.0248242\pi\)
0.431010 + 0.902347i \(0.358158\pi\)
\(648\) 1.29758e16 2.24747e16i 0.175260 0.303560i
\(649\) 1.52415e16 8.79969e15i 0.203967 0.117760i
\(650\) 7.45133e16i 0.987993i
\(651\) 7.97040e15 1.08404e15i 0.104711 0.0142416i
\(652\) 4.98265e15 0.0648597
\(653\) 2.32580e16 + 4.02840e16i 0.299980 + 0.519581i 0.976131 0.217182i \(-0.0696866\pi\)
−0.676151 + 0.736763i \(0.736353\pi\)
\(654\) 4.32296e14 + 2.49586e14i 0.00552478 + 0.00318973i
\(655\) −6.55342e15 + 1.13509e16i −0.0829889 + 0.143741i
\(656\) 1.86752e16 1.07821e16i 0.234338 0.135295i
\(657\) 9.25120e16i 1.15029i
\(658\) −1.80277e16 + 1.39561e16i −0.222119 + 0.171953i
\(659\) 3.88240e16 0.474011 0.237005 0.971508i \(-0.423834\pi\)
0.237005 + 0.971508i \(0.423834\pi\)
\(660\) 3.90616e14 + 6.76566e14i 0.00472592 + 0.00818553i
\(661\) −9.43195e16 5.44554e16i −1.13082 0.652878i −0.186677 0.982421i \(-0.559772\pi\)
−0.944140 + 0.329543i \(0.893105\pi\)
\(662\) 2.56424e16 4.44140e16i 0.304657 0.527682i
\(663\) 6.73159e15 3.88648e15i 0.0792568 0.0457589i
\(664\) 3.82989e16i 0.446866i
\(665\) −1.08469e16 1.40114e16i −0.125423 0.162014i
\(666\) 4.35685e16 0.499260
\(667\) −7.11582e15 1.23250e16i −0.0808109 0.139969i
\(668\) −9.56655e15 5.52325e15i −0.107670 0.0621636i
\(669\) −3.48401e15 + 6.03449e15i −0.0388618 + 0.0673106i
\(670\) 8.52535e15 4.92211e15i 0.0942461 0.0544130i
\(671\) 1.74447e16i 0.191129i
\(672\) −1.17375e14 8.63001e14i −0.00127456 0.00937121i
\(673\) −4.67477e16 −0.503118 −0.251559 0.967842i \(-0.580943\pi\)
−0.251559 + 0.967842i \(0.580943\pi\)
\(674\) −1.13767e15 1.97050e15i −0.0121355 0.0210192i
\(675\) −8.45768e15 4.88304e15i −0.0894187 0.0516259i
\(676\) 2.60174e16 4.50635e16i 0.272636 0.472220i
\(677\) 5.40258e16 3.11918e16i 0.561137 0.323973i −0.192465 0.981304i \(-0.561648\pi\)
0.753602 + 0.657331i \(0.228315\pi\)
\(678\) 2.78911e15i 0.0287136i
\(679\) 4.47473e16 + 1.83110e16i 0.456613 + 0.186850i
\(680\) 7.58512e15 0.0767201
\(681\) 3.18287e15 + 5.51289e15i 0.0319107 + 0.0552709i
\(682\) −2.34483e17 1.35379e17i −2.33026 1.34538i
\(683\) −3.36676e16 + 5.83140e16i −0.331656 + 0.574445i −0.982837 0.184478i \(-0.940941\pi\)
0.651181 + 0.758923i \(0.274274\pi\)
\(684\) −4.93948e16 + 2.85181e16i −0.482331 + 0.278474i
\(685\) 1.63104e16i 0.157877i
\(686\) 5.90361e16 + 4.41076e16i 0.566465 + 0.423223i
\(687\) −7.71758e15 −0.0734075
\(688\) 1.52478e16 + 2.64100e16i 0.143773 + 0.249022i
\(689\) −4.36828e16 2.52203e16i −0.408315 0.235741i
\(690\) −7.88957e13 + 1.36651e14i −0.000731070 + 0.00126625i
\(691\) 2.07049e16 1.19540e16i 0.190197 0.109810i −0.401878 0.915693i \(-0.631642\pi\)
0.592075 + 0.805883i \(0.298309\pi\)
\(692\) 5.22104e16i 0.475467i
\(693\) −8.05836e16 + 1.96925e17i −0.727524 + 1.77788i
\(694\) −3.80170e16 −0.340268
\(695\) −5.40831e15 9.36747e15i −0.0479903 0.0831216i
\(696\) 1.42813e15 + 8.24532e14i 0.0125636 + 0.00725358i
\(697\) 7.34113e16 1.27152e17i 0.640275 1.10899i
\(698\) −1.69431e16 + 9.78210e15i −0.146508 + 0.0845862i
\(699\) 7.44577e15i 0.0638332i
\(700\) 5.63270e16 7.66093e15i 0.478772 0.0651169i
\(701\) −1.42561e17 −1.20141 −0.600707 0.799469i \(-0.705114\pi\)
−0.600707 + 0.799469i \(0.705114\pi\)
\(702\) 6.53682e15 + 1.13221e16i 0.0546190 + 0.0946029i
\(703\) −8.26872e16 4.77395e16i −0.685025 0.395499i
\(704\) −1.46582e16 + 2.53888e16i −0.120405 + 0.208548i
\(705\) −4.14488e14 + 2.39305e14i −0.00337580 + 0.00194902i
\(706\) 1.09120e17i 0.881201i
\(707\) −1.29688e17 + 1.00398e17i −1.03845 + 0.803911i
\(708\) −4.11892e14 −0.00327027
\(709\) 1.08427e17 + 1.87800e17i 0.853607 + 1.47849i 0.877931 + 0.478787i \(0.158924\pi\)
−0.0243234 + 0.999704i \(0.507743\pi\)
\(710\) −1.27021e16 7.33357e15i −0.0991575 0.0572486i
\(711\) −5.99044e16 + 1.03758e17i −0.463705 + 0.803160i
\(712\) 2.08926e16 1.20623e16i 0.160366 0.0925873i
\(713\) 5.46870e16i 0.416243i
\(714\) −3.63002e15 4.68905e15i −0.0273980 0.0353912i
\(715\) 6.82592e16 0.510887
\(716\) −3.68521e16 6.38296e16i −0.273517 0.473745i
\(717\) 6.04938e15 + 3.49261e15i 0.0445241 + 0.0257060i
\(718\) 1.45893e16 2.52694e16i 0.106485 0.184437i
\(719\) 1.49791e16 8.64816e15i 0.108420 0.0625966i −0.444809 0.895625i \(-0.646729\pi\)
0.553230 + 0.833029i \(0.313395\pi\)
\(720\) 6.36971e15i 0.0457219i
\(721\) −2.29193e16 1.68514e17i −0.163151 1.19957i
\(722\) 2.48301e16 0.175289
\(723\) −3.86649e15 6.69697e15i −0.0270700 0.0468865i
\(724\) 1.99902e16 + 1.15413e16i 0.138799 + 0.0801355i
\(725\) −5.38162e16 + 9.32124e16i −0.370583 + 0.641868i
\(726\) −1.30068e16 + 7.50950e15i −0.0888284 + 0.0512851i
\(727\) 1.17362e17i 0.794915i −0.917621 0.397458i \(-0.869893\pi\)
0.917621 0.397458i \(-0.130107\pi\)
\(728\) −7.04293e16 2.88203e16i −0.473113 0.193602i
\(729\) 1.47523e17 0.982868
\(730\) 1.13207e16 + 1.96080e16i 0.0748057 + 0.129567i
\(731\) 1.79816e17 + 1.03817e17i 1.17848 + 0.680397i
\(732\) 2.04136e14 3.53573e14i 0.00132694 0.00229833i
\(733\) 1.49527e17 8.63296e16i 0.964044 0.556591i 0.0666284 0.997778i \(-0.478776\pi\)
0.897415 + 0.441187i \(0.145442\pi\)
\(734\) 6.42591e16i 0.410921i
\(735\) 1.10325e15 + 1.08453e15i 0.00699762 + 0.00687886i
\(736\) −5.92128e15 −0.0372519
\(737\) 1.29527e17 + 2.24347e17i 0.808266 + 1.39996i
\(738\) 1.06778e17 + 6.16481e16i 0.660910 + 0.381577i
\(739\) 9.54432e15 1.65313e16i 0.0585974 0.101494i −0.835239 0.549888i \(-0.814671\pi\)
0.893836 + 0.448394i \(0.148004\pi\)
\(740\) −9.23436e15 + 5.33146e15i −0.0562363 + 0.0324680i
\(741\) 1.43047e16i 0.0864112i
\(742\) −1.45737e16 + 3.56142e16i −0.0873265 + 0.213403i
\(743\) −5.56299e16 −0.330655 −0.165328 0.986239i \(-0.552868\pi\)
−0.165328 + 0.986239i \(0.552868\pi\)
\(744\) 3.16838e15 + 5.48779e15i 0.0186810 + 0.0323564i
\(745\) −1.66023e16 9.58534e15i −0.0971025 0.0560621i
\(746\) 6.59386e16 1.14209e17i 0.382566 0.662624i
\(747\) 1.89641e17 1.09489e17i 1.09146 0.630155i
\(748\) 1.99605e17i 1.13962i
\(749\) 6.65143e16 9.04648e15i 0.376725 0.0512376i
\(750\) 2.42826e15 0.0136436
\(751\) −1.36551e17 2.36514e17i −0.761125 1.31831i −0.942271 0.334851i \(-0.891314\pi\)
0.181146 0.983456i \(-0.442019\pi\)
\(752\) −1.55541e16 8.98015e15i −0.0860076 0.0496565i
\(753\) 4.25651e15 7.37249e15i 0.0233498 0.0404431i
\(754\) 1.24781e17 7.20426e16i 0.679081 0.392068i
\(755\) 1.50077e15i 0.00810276i
\(756\) 7.88668e15 6.10545e15i