secq-demo.ipynb

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      "S256PPoint(79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8)_fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f\n",
      "S256PPoint(infinity)\n",
      "True\n",
      "S256QPoint(76c39f5585cb160eb6b06c87a2ce32e23134e45a097781a6a24288e37702eda6,3ffc646c7b2918b5dc2d265a8e82a7f7d18983d26e8dc055a4120ddad952677f)_fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141\n",
      "S256QPoint(infinity)\n",
      "True\n"
     ]
    }
   ],
   "source": [
    "from ecc import G, G2, N, P\n",
    "\n",
    "# G is the generator for the secp256k1 curve\n",
    "print(G)\n",
    "\n",
    "# order of G is N\n",
    "print(N*G)\n",
    "\n",
    "# y^2 = x^3 + 7 holds for the prime field of P for G\n",
    "print(G.y.num**2 % P == (G.x.num**3 + 7) % P)\n",
    "\n",
    "# G2 is the generator for the secq256k1 curve (so-called \"mirror\" curve)\n",
    "print(G2)\n",
    "\n",
    "# order of G2 is P\n",
    "print(P*G2)\n",
    "\n",
    "# y^2 = x^3 + 7 holds for the prime field of N for G2\n",
    "print(G2.y.num**2 % N == (G2.x.num**3 + 7) % N)"
   ]
  }
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