0 = P ( 1 , 16 , 8 , ( − 8 , 8 , 4 , 8 , 2 , 2 , − 1 , 0 ) ) {\displaystyle \begin{align}0=P(1,16,8,(-8,8,4,8,2,2,-1,0))\end{align}}
0 = P ( 1 , 64 , 6 , ( 16 , − 24 , − 8 , − 6 , 1 , 0 ) ) {\displaystyle \begin{align}0=P(1,64,6,(16,-24,-8,-6,1,0))\end{align}}
0 = P ( 1 , 2 12 , 24 , ( 0 , 0 , 2 11 , − 2 11 , 0 , − 2 9 , 256 , − 3 ⋅ 2 8 , 0 , 0 , − 64 , − 128 , 0 , − 32 , − 32 , − 48 , 0 , − 24 , − 4 , − 8 , 0 , − 2 , 1 , 0 ) ) {\displaystyle \begin{align} &0=P(1,2^{12},24,(0,0,2^{11},-2^{11},0,-2^9,256,-3\cdot2^8,0,0,-64,-128,0,-32,-32, \\ &-48,0,-24,-4,-8,0,-2,1,0)) \end{align}}
0 = P ( 1 , 2 12 , 24 , ( 2 11 , − 2 11 , − 2 11 , 0 , − 2 9 , − 2 10 , − 2 8 , 0 , − 2 8 , − 2 7 , 2 6 , 0 , − 32 , 32 , 32 , 0 , 8 , 16 , 4 , 0 , 4 , 2 , − 1 , 0 ) ) {\displaystyle \begin{align} &0=P(1,2^{12},24,(2^{11},-2^{11},-2^{11},0,-2^9,-2^{10},-2^8,0,-2^8,-2^7,2^6,0,-32,32, \\ &32,0,8,16,4,0,4,2,-1,0)) \end{align}}
0 = P ( 1 , 2 12 , 24 , ( − 2 9 , − 2 10 , 2 10 , 7 ⋅ 2 8 , 256 , 3 ⋅ 2 8 , 64 , 3 ⋅ 2 7 , 0 , 0 , 0 , 0 , 8 , − 32 , − 16 , 12 , − 4 , 4 , − 1 , 8 , 0 , − 1 , 0 , 0 ) ) {\displaystyle \begin{align} &0=P(1,2^{12},24,(-2^9,-2^{10},2^{10},7\cdot2^8,256,3\cdot2^8,64,3\cdot2^7,0,0,0,0,8,-32, \\ &-16,12,-4,4,-1,8,0,-1,0,0)) \end{align}}
0 = P ( 1 , 2 12 , 24 , ( 2 9 , − 2 10 , − 2 9 , 256 , 0 , 256 , 64 , 3 ⋅ 2 7 , 64 , 0 , 0 , 0 , − 8 , − 16 , 8 , 12 , 0 , 4 , − 1 , 2 , − 1 , 0 , 0 , 0 ) ) {\displaystyle \begin{align} &0=P(1,2^{12},24,(2^9,-2^{10},-2^9,256,0,256,64,3\cdot2^7,64,0,0,0,-8,-16,8,12,0,4, \\ &-1,2,-1,0,0,0))\end{align}}
0 = P ( 1 , 2 12 , 24 , ( 3 ⋅ 2 9 , − 3 ⋅ 2 10 , 0 , − 256 , 0 , 0 , 192 , 3 ⋅ 2 7 , 0 , 0 , 0 , − 64 , − 24 , − 48 , 0 , − 12 , 0 , 0 , − 3 , 2 , 0 , 0 , 0 , 0 ) ) {\displaystyle \begin{align} &0=P(1,2^{12},24,(3\cdot2^9,-3\cdot2^{10},0,-256,0,0,192,3\cdot2^7,0,0,0,-64,-24,-48, \\ &0,-12,0,0,-3,2,0,0,0,0)) \end{align}}
0 = P ( 1 , 2 12 , 24 , ( − 2 10 , 3 ⋅ 2 9 , 2 9 , 256 , 128 , 128 , − 64 , − 192 , 0 , 32 , 0 , 32 , 16 , 16 , − 8 , 0 , − 2 , − 2 , 1 , 0 , 0 , 0 , 0 , 0 ) ) {\displaystyle \begin{align} &0=P(1,2^{12},24,(-2^{10},3\cdot2^9,2^9,256,128,128,-64,-192,0,32,0,32,16,16,-8,0, \\ &-2,-2,1,0,0,0,0,0)) \end{align}}
0 = P ( 1 , 2 20 , 40 , ( 0 , 2 18 , − 2 18 , 2 17 , 0 , − 5 ⋅ 2 16 , 2 16 , − 5 ⋅ 2 15 , 0 , − 2 16 , − 2 14 , 2 13 , 0 , − 5 ⋅ 2 12 , − 2 14 , − 5 ⋅ 2 11 , 0 , 2 10 , − 2 10 , − 2 11 , 0 , − 5 ⋅ 2 8 , 256 , − 5 ⋅ 2 7 , 0 , 64 , − 64 , 32 , 0 , 0 , 16 , − 40 , 0 , 4 , 16 , 2 , 0 , − 5 , 1 , 0 ) ) {\displaystyle \begin{align} &0=P(1,2^{20},40,(0,2^{18},-2^{18},2^{17},0,-5\cdot2^{16},2^{16},-5\cdot2^{15},0,-2^{16}, \\ &-2^{14},2^{13},0,-5\cdot2^{12},-2^{14},-5\cdot2^{11},0,2^{10},-2^{10},-2^{11},0,-5\cdot2^8, \\ &256,-5\cdot2^7,0,64,-64,32,0,0,16,-40,0,4,16,2,0,-5,1,0)) \end{align}}
0 = P ( 1 , 2 20 , 40 , ( 2 18 , − 2 19 , 0 , − 2 17 , 3 ⋅ 2 15 , 2 16 , 0 , 0 , 2 14 , 2 13 , 0 , − 2 13 , − 2 12 , 2 12 , 5 ⋅ 2 10 , 0 , 2 10 , − 2 11 , 0 , − 2 9 , − 256 , 256 , 0 , 0 , − 96 , − 128 , 0 , − 32 , − 16 , − 24 , 0 , 0 , 4 , − 8 , − 5 , − 2 , − 1 , 1 , 0 , 0 ) ) {\displaystyle \begin{align} &0=P(1,2^{20},40,(2^{18},-2^{19},0,-2^{17},3\cdot2^{15},2^{16},0,0,2^{14},2^{13},0,-2^{13},-2^{12},2^{12},5\cdot2^{10}, \\ &0,2^{10},-2^{11},0,-2^9,-256,256,0,0,-96,-128,0,-32,-16,-24,0,0,4,-8,-5,-2, \\ &-1,1,0,0)) \end{align}}
0 = P ( 1 , 2 20 , 40 , ( − 2 18 , 3 ⋅ 2 18 , 0 , − 2 18 , − 13 ⋅ 2 15 , 0 , 0 , 5 ⋅ 2 15 , − 2 14 , 2 13 , 0 , − 2 14 , 2 12 , 0 , 5 ⋅ 2 10 , 5 ⋅ 2 11 , − 2 10 , 3 ⋅ 2 10 , 0 , 3 ⋅ 2 9 , 256 , 0 , 0 , 5 ⋅ 2 7 , 13 ⋅ 2 5 , 192 , 0 , − 64 , 16 , 40 , 0 , 40 , − 4 , 12 , − 5 , − 4 , 1 , 0 , 0 , 0 ) ) {\displaystyle \begin{align} &0=P(1,2^{20},40,(-2^{18},3\cdot2^{18},0,-2^{18},-13\cdot2^{15},0,0,5\cdot2^{15},-2^{14},2^{13},0,-2^{14},2^{12},0, \\ &5\cdot2^{10},5\cdot2^{11},-2^{10},3\cdot2^{10},0,3\cdot2^9,256,0,0,5\cdot2^7,13\cdot2^5,192,0,-64,16,40,0,40, \\ &-4,12,-5,-4,1,0,0,0)) \end{align}}
0 = P ( 1 , 2 20 , 40 , ( 2 19 , − 3 ⋅ 2 19 , 2 18 , 0 , 2 19 , 3 ⋅ 2 17 , − 2 16 , 0 , 2 15 , 2 16 , 2 14 , 0 , − 2 13 , 3 ⋅ 2 13 , 2 14 , 0 , 2 11 , − 3 ⋅ 2 11 , 2 10 , 0 , − 2 9 , 3 ⋅ 2 9 , − 2 8 , 0 , − 2 9 , − 3 ⋅ 2 7 , 2 6 , 0 , − 2 5 , − 2 6 , − 2 4 , 0 , 2 3 , − 3 ⋅ 2 3 , − 2 4 , 0 , − 2 , 6 , − 1 , 0 ) ) {\displaystyle \begin{align} &0=P(1,2^{20},40,(2^{19},-3\cdot2^{19},2^{18},0,2^{19},3\cdot2^{17},-2^{16},0,2^{15},2^{16},2^{14},0,-2^{13}, \\ &3\cdot2^{13},2^{14},0,2^{11},-3\cdot2^{11},2^{10},0,-2^9,3\cdot2^9,-2^8,0,-2^9,-3\cdot2^7,2^6,0,-2^5,-2^6,-2^4, \\ &0,2^3,-3\cdot2^3,-2^4,0,-2,6,-1,0)) \end{align}}
0 = P ( 2 , 2 12 , 24 , ( 0 , 2 10 , − 3 ⋅ 2 10 , 2 9 , 0 , 2 10 , 0 , 9 ⋅ 2 7 , 3 ⋅ 2 7 , 64 , 0 , 128 , 0 , 16 , 48 , 72 , 0 , 16 , 0 , 2 , − 6 , 1 , 0 , 0 ) ) {\displaystyle \begin{align} &0=P(2,2^{12},24,(0,2^{10},-3\cdot2^{10},2^9,0,2^{10},0,9\cdot2^7,3\cdot2^7,64,0,128,0,16,48,72,0,16, \\ &0,2,-6,1,0,0)) \end{align}}
0 = P ( 2 , 2 12 , 24 , ( − 2 11 , 0 , 17 ⋅ 2 11 , − 17 ⋅ 2 10 , 2 9 , − 15 ⋅ 2 10 , − 256 , − 63 ⋅ 2 8 , − 17 ⋅ 2 8 , 0 , 64 , − 5 ⋅ 2 8 , 32 , 0 , − 17 ⋅ 2 5 , − 63 ⋅ 2 4 , − 8 , − 240 , 4 , − 68 , 68 , 0 , − 1 , 0 ) ) {\displaystyle \begin{align} &0=P(2,2^{12},24,(-2^{11},0,17\cdot2^{11},-17\cdot2^{10},2^9,-15\cdot2^{10},-256,-63\cdot2^8,-17\cdot2^8, \\ &0,64,-5\cdot2^8,32,0,-17\cdot2^5,-63\cdot2^4,-8,-240,4,-68,68,0,-1,0)) \end{align}}
0 = P ( 2 , 2 20 , 40 , ( 2 19 , − 3 ⋅ 2 20 , − 2 18 , 13 ⋅ 2 18 , 3 ⋅ 2 20 , − 3 ⋅ 2 18 , 2 16 , − 25 ⋅ 2 16 , 2 15 , − 3 ⋅ 2 16 , − 2 14 , 13 ⋅ 2 14 , − 2 13 , − 3 ⋅ 2 14 , − 3 ⋅ 2 15 , − 25 ⋅ 2 12 , 2 11 , − 3 ⋅ 2 12 , − 2 10 , − 3 ⋅ 2 12 , − 2 9 , − 3 ⋅ 2 10 , 256 , − 25 ⋅ 2 8 , − 3 ⋅ 2 10 , − 3 ⋅ 2 8 , − 64 , 13 ⋅ 2 6 , − 32 , − 192 , 16 , − 25 ⋅ 2 4 , 8 , − 48 , 96 , 52 , − 2 , − 12 , 1 , 0 ) ) {\displaystyle \begin{align} &0=P(2,2^{20},40,(2^{19},-3\cdot2^{20},-2^{18},13\cdot2^{18},3\cdot2^{20},-3\cdot2^{18},2^{16},-25\cdot2^{16},2^{15}, \\ &-3\cdot2^{16},-2^{14},13\cdot2^{14},-2^{13},-3\cdot2^{14},-3\cdot2^{15},-25\cdot2^{12},2^{11},-3\cdot2^{12},-2^{10}, \\ &-3\cdot2^{12},-2^9,-3\cdot2^{10},256,-25\cdot2^8,-3\cdot2^{10},-3\cdot2^8,-64,13\cdot2^6,-32,-192, \\ &16,-25\cdot2^4,8,-48,96,52,-2,-12,1,0)) \end{align}}
0 = P ( 3 , 2 12 , 24 , ( 2 11 , − 19 ⋅ 2 11 , 5 ⋅ 2 14 , − 2 11 , − 2 9 , − 23 ⋅ 2 10 , 256 , − 27 ⋅ 2 10 , − 5 ⋅ 2 11 , − 19 ⋅ 2 7 , − 64 , − 7 ⋅ 2 9 , − 32 , − 19 ⋅ 2 5 , − 5 ⋅ 2 8 , − 27 ⋅ 2 6 , 8 , − 23 ⋅ 2 4 , − 4 , − 8 , 160 , − 38 , 1 , 0 ) ) {\displaystyle \begin{align} &0=P(3,2^{12},24,(2^{11},-19\cdot2^{11},5\cdot2^{14},-2^{11},-2^9,-23\cdot2^{10},256,-27\cdot2^{10}, \\ &-5\cdot2^{11},-19\cdot2^7,-64,-7\cdot2^9,-32,-19\cdot2^5,-5\cdot2^8,-27\cdot2^6,8,-23\cdot2^4,-4, \\ &-8,160,-38,1,0)) \end{align}}
0 = P ( 3 , 2 60 , 120 , ( 7 ⋅ 2 59 , − 3 ⋅ 5 2 ⋅ 2 60 , 1579 ⋅ 2 57 , − 29 ⋅ 2 60 , − 3 ⋅ 23 ⋅ 31 ⋅ 2 56 , 3 ⋅ 5 ⋅ 2 60 , 7 ⋅ 2 56 , 67 ⋅ 2 59 , − 1579 ⋅ 2 54 , − 3 ⋅ 5 2 ⋅ 2 56 , − 7 ⋅ 2 54 , − 5 ⋅ 11 ⋅ 43 ⋅ 2 5 3 , − 7 ⋅ 2 5 3 , − 3 ⋅ 5 2 ⋅ 2 54 , 3 ⋅ 7 ⋅ 13 ⋅ 2 52 , 67 ⋅ 2 55 , 7 ⋅ 2 51 , 3 ⋅ 5 ⋅ 2 54 , − 7 ⋅ 2 50 , 3 ⋅ 631 ⋅ 2 49 , 1579 ⋅ 2 48 , − 3 ⋅ 5 2 ⋅ 2 50 , 7 ⋅ 2 48 , 53 ⋅ 17 ⋅ 2 47 , 3 ⋅ 23 ⋅ 31 ⋅ 2 46 , − 3 ⋅ 5 2 ⋅ 2 48 , 1579 ⋅ 2 45 , − 29 ⋅ 2 48 , − 7 ⋅ 2 45 , 3 ⋅ 5 ⋅ 2 48 , 7 ⋅ 2 44 , 67 ⋅ 2 47 , − 1579 ⋅ 2 42 , − 3 ⋅ 5 2 ⋅ 2 44 , − 3 ⋅ 23 ⋅ 31 ⋅ 2 41 , − 5 ⋅ 11 ⋅ 43 ⋅ 2 41 , − 7 ⋅ 2 41 , − 3 ⋅ 5 2 ⋅ 2 42 , − 1579 ⋅ 2 39 , − 34 ⋅ 13 ⋅ 2 39 , 7 ⋅ 2 39 , 3 ⋅ 5 ⋅ 2 42 , − 7 ⋅ 2 38 , − 29 ⋅ 2 40 , − 3 ⋅ 7 ⋅ 13 ⋅ 2 37 , − 3 ⋅ 5 2 ⋅ 2 38 , 7 ⋅ 2 36 , 53 ⋅ 17 ⋅ 2 35 , 7 ⋅ 2 35 , − 3 ⋅ 5 2 ⋅ 2 36 , 1579 ⋅ 2 33 , − 29 ⋅ 2 36 , − 7 ⋅ 2 33 , 3 ⋅ 5 ⋅ 2 36 , 3 ⋅ 23 ⋅ 31 ⋅ 2 31 , 67 ⋅ 2 35 , − 1579 ⋅ 2 30 , − 3 ⋅ 5 2 ⋅ 2 32 , − 7 ⋅ 2 30 , − 3 ⋅ 5 ⋅ 2 33 , − 7 ⋅ 2 29 , − 3 ⋅ 5 2 ⋅ 2 30 , − 1579 ⋅ 2 27 , 67 ⋅ 2 31 , 3 ⋅ 23 ⋅ 31 ⋅ 2 26 , 3 ⋅ 5 ⋅ 2 30 , − 7 ⋅ 2 26 , − 29 ⋅ 2 28 , 1579 ⋅ 2 24 , − 3 ⋅ 5 2 ⋅ 2 26 , 7 ⋅ 2 24 , 53 ⋅ 17 ⋅ 2 23 , 7 ⋅ 2 23 , − 3 ⋅ 5 2 ⋅ 2 24 , − 3 ⋅ 7 ⋅ 13 ⋅ 2 22 , − 29 ⋅ 2 24 , − 7 ⋅ 2 21 , 3 ⋅ 5 ⋅ 2 24 , 7 ⋅ 2 20 , − 34 ⋅ 13 ⋅ 2 19 , − 1579 ⋅ 2 18 , − 3 ⋅ 5 2 ⋅ 2 20 , − 7 ⋅ 2 18 , − 5 ⋅ 11 ⋅ 43 ⋅ 2 17 , − 3 ⋅ 23 ⋅ 31 ⋅ 2 16 , − 3 ⋅ 5 2 ⋅ 2 18 , − 1579 ⋅ 2 15 , 67 ⋅ 2 19 , 7 ⋅ 2 15 , 3 ⋅ 5 ⋅ 2 18 , − 7 ⋅ 2 14 , − 29 ⋅ 2 16 , 1579 ⋅ 2 12 , − 3 ⋅ 5 2 ⋅ 2 14 , 3 ⋅ 23 ⋅ 31 ⋅ 2 11 , 53 ⋅ 17 ⋅ 2 11 , 7 ⋅ 2 11 , − 3 ⋅ 5 2 ⋅ 2 12 , 1579 ⋅ 2 9 , 3 ⋅ 631 ⋅ 2 9 , − 7 ⋅ 2 9 , 3 ⋅ 5 ⋅ 2 12 , 7 ⋅ 2 8 , 67 ⋅ 2 11 , 3 ⋅ 7 ⋅ 13 ⋅ 2 7 , − 3 ⋅ 5 2 ⋅ 2 8 , − 7 ⋅ 2 6 , − 5 ⋅ 11 ⋅ 43 ⋅ 2 5 , − 7 ⋅ 2 5 , − 3 ⋅ 5 2 ⋅ 2 6 , − 1579 ⋅ 2 3 , 67 ⋅ 2 7 , 7 ⋅ 2 3 , 3 ⋅ 5 ⋅ 2 6 , − 3 ⋅ 23 ⋅ 31 ⋅ 2 , − 29 ⋅ 2 4 , 1579 , − 3 ⋅ 5 2 ⋅ 2 2 , 7 , 0 ) ) {\displaystyle \begin{align} &0=P(3,2^{60},120,(7\cdot2^{59},-3\cdot5^2\cdot2^{60},1579\cdot2^{57},-29\cdot2^{60},-3\cdot23\cdot31\cdot2^{56}, \\ &3\cdot5\cdot2^{60},7\cdot2^{56},67\cdot2^{59},-1579\cdot2^{54},-3\cdot5^2\cdot2^{56},-7\cdot2^{54}, \\ &-5\cdot11\cdot43\cdot2^53,-7\cdot2^53,-3\cdot5^2\cdot2^{54},3\cdot7\cdot13\cdot2^{52},67\cdot2^{55},7\cdot2^{51}, \\ &3\cdot5\cdot2^{54},-7\cdot2^{50},3\cdot631\cdot2^{49},1579\cdot2^{48},-3\cdot5^2\cdot2^{50},7\cdot2^{48}, \\ &53\cdot17\cdot2^{47},3\cdot23\cdot31\cdot2^{46},-3\cdot5^2\cdot2^{48},1579\cdot2^{45},-29\cdot2^{48},-7\cdot2^{45}, \\ &3\cdot5\cdot2^{48},7\cdot2^{44},67\cdot2^{47},-1579\cdot2^{42},-3\cdot5^2\cdot2^{44},-3\cdot23\cdot31\cdot2^{41}, \\ &-5\cdot11\cdot43\cdot2^{41},-7\cdot2^{41},-3\cdot5^2\cdot2^{42},-1579\cdot2^{39},-34\cdot13\cdot2^{39},7\cdot2^{39}, \\ &3\cdot5\cdot2^{42},-7\cdot2^{38},-29\cdot2^{40},-3\cdot7\cdot13\cdot2^{37},-3\cdot5^2\cdot2^{38},7\cdot2^{36}, \\ &53\cdot17\cdot2^{35},7\cdot2^{35},-3\cdot5^2\cdot2^{36},1579\cdot2^{33},-29\cdot2^{36},-7\cdot2^{33}, \\ &3\cdot5\cdot2^{36},3\cdot23\cdot31\cdot2^{31},67\cdot2^{35},-1579\cdot2^{30},-3\cdot5^2\cdot2^{32},-7\cdot2^{30}, \\ &-3\cdot5\cdot2^{33},-7\cdot2^{29},-3\cdot5^2\cdot2^{30},-1579\cdot2^{27},67\cdot2^{31},3\cdot23\cdot31\cdot2^{26}, \\ &3\cdot5\cdot2^{30},-7\cdot2^{26},-29\cdot2^{28},1579\cdot2^{24},-3\cdot5^2\cdot2^{26},7\cdot2^{24},53\cdot17\cdot2^{23}, \\ &7\cdot2^{23},-3\cdot5^2\cdot2^{24},-3\cdot7\cdot13\cdot2^{22},-29\cdot2^{24},-7\cdot2^{21},3\cdot5\cdot2^{24}, \\ &7\cdot2^{20},-34\cdot13\cdot2^{19},-1579\cdot2^{18},-3\cdot5^2\cdot2^{20},-7\cdot2^{18},-5\cdot11\cdot43\cdot2^{17}, \\ &-3\cdot23\cdot31\cdot2^{16},-3\cdot5^2\cdot2^{18},-1579\cdot2^{15},67\cdot2^{19},7\cdot2^{15},3\cdot5\cdot2^{18}, \\ &-7\cdot2^{14},-29\cdot2^{16},1579\cdot2^{12},-3\cdot5^2\cdot2^{14},3\cdot23\cdot31\cdot2^{11},53\cdot17\cdot2^{11}, \\ &7\cdot2^{11},-3\cdot5^2\cdot2^{12},1579\cdot2^9,3\cdot631\cdot2^9,-7\cdot2^9,3\cdot5\cdot2^{12},7\cdot2^8,67\cdot2^{11}, \\ &3\cdot7\cdot13\cdot2^7,-3\cdot5^2\cdot2^8,-7\cdot2^6,-5\cdot11\cdot43\cdot2^5,-7\cdot2^5,-3\cdot5^2\cdot2^6,-1579\cdot2^3, \\ &67\cdot2^7,7\cdot2^3,3\cdot5\cdot2^6,-3\cdot23\cdot31\cdot2,-29\cdot2^4,1579,-3\cdot5^2\cdot2^2,7,0)) \end{align}}
0 = P ( 3 , 2 60 , 120 , ( 2 59 , 0 , − 353 ⋅ 2 57 , 7 ⋅ 2 62 , 3 ⋅ 7 ⋅ 113 ⋅ 2 56 , − 33 ⋅ 5 ⋅ 2 59 , 2 56 , − 97 ⋅ 2 60 , 353 ⋅ 2 54 , 0 , − 2 54 , 5 ⋅ 331 ⋅ 2 5 3 , − 2 5 3 , 0 , − 3 ⋅ 337 ⋅ 2 52 , − 97 ⋅ 2 56 , 2 51 , − 33 ⋅ 5 ⋅ 2 5 3 , − 2 50 , − 3 2 ⋅ 239 ⋅ 2 49 , − 353 ⋅ 2 48 , 0 , 2 48 , − 53 ⋅ 19 ⋅ 2 47 , − 3 ⋅ 7 ⋅ 113 ⋅ 2 46 , 0 , − 353 ⋅ 2 45 , 7 ⋅ 2 50 , − 2 45 , − 33 ⋅ 5 ⋅ 2 47 , 2 44 , − 97 ⋅ 2 48 , 353 ⋅ 2 42 , 0 , 3 ⋅ 7 ⋅ 113 ⋅ 2 41 , 5 ⋅ 331 ⋅ 2 41 , − 2 41 , 0 , 353 ⋅ 2 39 , − 36 ⋅ 2 39 , 2 39 , − 33 ⋅ 5 ⋅ 2 41 , − 2 38 , 7 ⋅ 2 42 , 3 ⋅ 337 ⋅ 2 37 , 0 , 2 36 , − 53 ⋅ 19 ⋅ 2 35 , 2 35 , 0 , − 353 ⋅ 2 33 , 7 ⋅ 2 38 , − 2 33 , − 33 ⋅ 5 ⋅ 2 35 , − 3 ⋅ 7 ⋅ 113 ⋅ 2 31 , − 97 ⋅ 2 36 , 353 ⋅ 2 30 , 0 , − 2 30 , − 3 2 ⋅ 5 ⋅ 2 33 , − 2 29 , 0 , 353 ⋅ 2 27 , − 97 ⋅ 2 32 , − 3 ⋅ 7 ⋅ 113 ⋅ 2 26 , − 33 ⋅ 5 ⋅ 2 29 , − 2 26 , 7 ⋅ 2 30 , − 353 ⋅ 2 24 , 0 , 2 24 , − 53 ⋅ 19 ⋅ 2 23 , 2 23 , 0 , 3 ⋅ 337 ⋅ 2 22 , 7 ⋅ 2 26 , − 2 21 , − 33 ⋅ 5 ⋅ 2 23 , 2 20 , − 36 ⋅ 2 19 , 353 ⋅ 2 18 , 0 , − 2 18 , 5 ⋅ 331 ⋅ 2 17 , 3 ⋅ 7 ⋅ 113 ⋅ 2 16 , 0 , 353 ⋅ 2 15 , − 97 ⋅ 2 20 , 2 15 , − 33 ⋅ 5 ⋅ 2 17 , − 2 14 , 7 ⋅ 2 18 , − 353 ⋅ 2 12 , 0 , − 3 ⋅ 7 ⋅ 113 ⋅ 2 11 , − 53 ⋅ 19 ⋅ 2 11 , 2 11 , 0 , − 353 ⋅ 2 9 , − 3 2 ⋅ 239 ⋅ 2 9 , − 2 9 , − 33 ⋅ 5 ⋅ 2 11 , 2 8 , − 97 ⋅ 2 12 , − 3 ⋅ 337 ⋅ 2 7 , 0 , − 2 6 , 5 ⋅ 331 ⋅ 2 5 , − 2 5 , 0 , 353 ⋅ 2 3 , − 97 ⋅ 2 8 , 2 3 , − 33 ⋅ 5 ⋅ 2 5 , 3 ⋅ 7 ⋅ 113 ⋅ 2 , 7 ⋅ 2 6 , − 353 , 0 , 1 , 0 ) ) {\displaystyle \begin{align} &0=P(3,2^{60},120,(2^{59},0,-353\cdot2^{57},7\cdot2^{62},3\cdot7\cdot113\cdot2^{56},-33\cdot5\cdot2^{59},2^{56}, \\ &-97\cdot2^{60},353\cdot2^{54},0,-2^{54},5\cdot331\cdot2^53,-2^53,0,-3\cdot337\cdot2^{52},-97\cdot2^{56},2^{51}, \\ &-33\cdot5\cdot2^53,-2^{50},-3^2\cdot239\cdot2^{49},-353\cdot2^{48},0,2^{48},-53\cdot19\cdot2^{47}, \\ &-3\cdot7\cdot113\cdot2^{46},0,-353\cdot2^{45},7\cdot2^{50},-2^{45},-33\cdot5\cdot2^{47},2^{44},-97\cdot2^{48}, \\ &353\cdot2^{42},0,3\cdot7\cdot113\cdot2^{41},5\cdot331\cdot2^{41},-2^{41},0,353\cdot2^{39},-36\cdot2^{39},2^{39}, \\ &-33\cdot5\cdot2^{41},-2^{38},7\cdot2^{42},3\cdot337\cdot2^{37},0,2^{36},-53\cdot19\cdot2^{35},2^{35},0, \\ &-353\cdot2^{33},7\cdot2^{38},-2^{33},-33\cdot5\cdot2^{35},-3\cdot7\cdot113\cdot2^{31},-97\cdot2^{36},353\cdot2^{30}, \\ &0,-2^{30},-3^2\cdot5\cdot2^{33},-2^{29},0,353\cdot2^{27},-97\cdot2^{32},-3\cdot7\cdot113\cdot2^{26}, \\ &-33\cdot5\cdot2^{29},-2^{26},7\cdot2^{30},-353\cdot2^{24},0,2^{24},-53\cdot19\cdot2^{23},2^{23},0,3\cdot337\cdot2^{22}, \\ &7\cdot2^{26},-2^{21},-33\cdot5\cdot2^{23},2^{20},-36\cdot2^{19},353\cdot2^{18},0,-2^{18},5\cdot331\cdot2^{17}, \\ &3\cdot7\cdot113\cdot2^{16},0,353\cdot2^{15},-97\cdot2^{20},2^{15},-33\cdot5\cdot2^{17},-2^{14},7\cdot2^{18}, \\ &-353\cdot2^{12},0,-3\cdot7\cdot113\cdot2^{11},-53\cdot19\cdot2^{11},2^{11},0,-353\cdot2^9,-3^2\cdot239\cdot2^9, \\ &-2^9,-33\cdot5\cdot2^{11},2^8,-97\cdot2^{12},-3\cdot337\cdot2^7,0,-2^6,5\cdot331\cdot2^5,-2^5,0,353\cdot2^3, \\ &-97\cdot2^8,2^3,-33\cdot5\cdot2^5,3\cdot7\cdot113\cdot2,7\cdot2^6,-353,0,1,0)) \end{align}}
0 = P ( 4 , 2 60 , 120 , ( − 31 ⋅ 2 59 , 3 ⋅ 269 ⋅ 2 60 , − 5 ⋅ 61 ⋅ 107 ⋅ 2 57 , 1553 ⋅ 2 60 , 3 2 ⋅ 14243 ⋅ 2 56 , − 3 ⋅ 1051 ⋅ 2 60 , − 31 ⋅ 2 56 , − 9319 ⋅ 2 59 , 5 ⋅ 61 ⋅ 107 ⋅ 2 54 , 3 ⋅ 269 ⋅ 2 56 , 31 ⋅ 2 54 , 31 ⋅ 3187 ⋅ 2 5 3 , 31 ⋅ 2 5 3 , 3 ⋅ 269 ⋅ 2 54 , − 3 2 ⋅ 5 ⋅ 1061 ⋅ 2 52 , − 9319 ⋅ 2 55 , − 31 ⋅ 2 51 , − 3 ⋅ 1051 ⋅ 2 54 , 31 ⋅ 2 50 , − 3 ⋅ 38567 ⋅ 2 49 , − 5 ⋅ 61 ⋅ 107 ⋅ 2 48 , 3 ⋅ 269 ⋅ 2 50 , − 31 ⋅ 2 48 , − 55 ⋅ 41 ⋅ 2 47 , − 3 2 ⋅ 14243 ⋅ 2 46 , 3 ⋅ 269 ⋅ 2 48 , − 5 ⋅ 61 ⋅ 107 ⋅ 2 45 , 1553 ⋅ 2 48 , 31 ⋅ 2 45 , − 3 ⋅ 1051 ⋅ 2 48 , − 31 ⋅ 2 44 , − 9319 ⋅ 2 47 , 5 ⋅ 61 ⋅ 107 ⋅ 2 42 , 3 ⋅ 269 ⋅ 2 44 , 3 2 ⋅ 14243 ⋅ 2 41 , 31 ⋅ 3187 ⋅ 2 41 , 31 ⋅ 2 41 , 3 ⋅ 269 ⋅ 2 42 , 5 ⋅ 61 ⋅ 107 ⋅ 2 39 , − 34 ⋅ 7 ⋅ 37 ⋅ 2 39 , − 31 ⋅ 2 39 , − 3 ⋅ 1051 ⋅ 2 42 , 31 ⋅ 2 38 , 1553 ⋅ 2 40 , 3 2 ⋅ 5 ⋅ 1061 ⋅ 2 37 , 3 ⋅ 269 ⋅ 2 38 , − 31 ⋅ 2 36 , − 55 ⋅ 41 ⋅ 2 35 , − 31 ⋅ 2 35 , 3 ⋅ 269 ⋅ 2 36 , − 5 ⋅ 61 ⋅ 107 ⋅ 2 33 , 1553 ⋅ 2 36 , 31 ⋅ 2 33 , − 3 ⋅ 1051 ⋅ 2 36 , − 3 2 ⋅ 14243 ⋅ 2 31 , − 9319 ⋅ 2 35 , 5 ⋅ 61 ⋅ 107 ⋅ 2 30 , 3 ⋅ 269 ⋅ 2 32 , 31 ⋅ 2 30 , − 3 ⋅ 13 ⋅ 47 ⋅ 2 33 , 31 ⋅ 2 29 , 3 ⋅ 269 ⋅ 2 30 , 5 ⋅ 61 ⋅ 107 ⋅ 2 27 , − 9319 ⋅ 2 31 , − 3 2 ⋅ 14243 ⋅ 2 26 , − 3 ⋅ 1051 ⋅ 2 30 , 31 ⋅ 2 26 , 1553 ⋅ 2 28 , − 5 ⋅ 61 ⋅ 107 ⋅ 2 24 , 3 ⋅ 269 ⋅ 2 26 , − 31 ⋅ 2 24 , − 55 ⋅ 41 ⋅ 2 23 , − 31 ⋅ 2 23 , 3 ⋅ 269 ⋅ 2 24 , 3 2 ⋅ 5 ⋅ 1061 ⋅ 2 22 , 1553 ⋅ 2 24 , 31 ⋅ 2 21 , − 3 ⋅ 1051 ⋅ 2 24 , − 31 ⋅ 2 20 , − 34 ⋅ 7 ⋅ 37 ⋅ 2 19 , 5 ⋅ 61 ⋅ 107 ⋅ 2 18 , 3 ⋅ 269 ⋅ 2 20 , 31 ⋅ 2 18 , 31 ⋅ 3187 ⋅ 2 17 , 3 2 ⋅ 14243 ⋅ 2 16 , 3 ⋅ 269 ⋅ 2 18 , 5 ⋅ 61 ⋅ 107 ⋅ 2 15 , − 9319 ⋅ 2 19 , − 31 ⋅ 2 15 , − 3 ⋅ 1051 ⋅ 2 18 , 31 ⋅ 2 14 , 1553 ⋅ 2 16 , − 5 ⋅ 61 ⋅ 107 ⋅ 2 12 , 3 ⋅ 269 ⋅ 2 14 , − 3 2 ⋅ 14243 ⋅ 2 11 , − 55 ⋅ 41 ⋅ 2 11 , − 31 ⋅ 2 11 , 3 ⋅ 269 ⋅ 2 12 , − 5 ⋅ 61 ⋅ 107 ⋅ 2 9 , − 3 ⋅ 38567 ⋅ 2 9 , 31 ⋅ 2 9 , − 3 ⋅ 1051 ⋅ 2 12 , − 31 ⋅ 2 8 , − 9319 ⋅ 2 11 , − 3 2 ⋅ 5 ⋅ 1061 ⋅ 2 7 , 3 ⋅ 269 ⋅ 2 8 , 31 ⋅ 2 6 , 31 ⋅ 3187 ⋅ 2 5 , 31 ⋅ 2 5 , 3 ⋅ 269 ⋅ 2 6 , 5 ⋅ 61 ⋅ 107 ⋅ 2 3 , − 9319 ⋅ 2 7 , − 31 ⋅ 2 3 , − 3 ⋅ 1051 ⋅ 2 6 , 3 2 ⋅ 14243 ⋅ 2 , 1553 ⋅ 2 4 , − 61 ⋅ 107 ⋅ 5 , 3 ⋅ 269 ⋅ 2 2 , − 31 , 0 ) ) {\displaystyle \begin{align} &0=P(4,2^{60},120,(-31\cdot2^{59},3\cdot269\cdot2^{60},-5\cdot61\cdot107\cdot2^{57},1553\cdot2^{60}, \\ &3^2\cdot14243\cdot2^{56},-3\cdot1051\cdot2^{60},-31\cdot2^{56},-9319\cdot2^{59},5\cdot61\cdot107\cdot2^{54}, \\ &3\cdot269\cdot2^{56},31\cdot2^{54},31\cdot3187\cdot2^53,31\cdot2^53,3\cdot269\cdot2^{54}, \\ &-3^2\cdot5\cdot1061\cdot2^{52},-9319\cdot2^{55},-31\cdot2^{51},-3\cdot1051\cdot2^{54},31\cdot2^{50}, \\ &-3\cdot38567\cdot2^{49},-5\cdot61\cdot107\cdot2^{48},3\cdot269\cdot2^{50},-31\cdot2^{48},-55\cdot41\cdot2^{47}, \\ &-3^2\cdot14243\cdot2^{46},3\cdot269\cdot2^{48},-5\cdot61\cdot107\cdot2^{45},1553\cdot2^{48},31\cdot2^{45}, \\ &-3\cdot1051\cdot2^{48},-31\cdot2^{44},-9319\cdot2^{47},5\cdot61\cdot107\cdot2^{42},3\cdot269\cdot2^{44}, \\ &3^2\cdot14243\cdot2^{41},31\cdot3187\cdot2^{41},31\cdot2^{41},3\cdot269\cdot2^{42},5\cdot61\cdot107\cdot2^{39}, \\ &-34\cdot7\cdot37\cdot2^{39},-31\cdot2^{39},-3\cdot1051\cdot2^{42},31\cdot2^{38},1553\cdot2^{40}, \\ &3^2\cdot5\cdot1061\cdot2^{37},3\cdot269\cdot2^{38},-31\cdot2^{36},-55\cdot41\cdot2^{35},-31\cdot2^{35}, \\ &3\cdot269\cdot2^{36},-5\cdot61\cdot107\cdot2^{33},1553\cdot2^{36},31\cdot2^{33},-3\cdot1051\cdot2^{36}, \\ &-3^2\cdot14243\cdot2^{31},-9319\cdot2^{35},5\cdot61\cdot107\cdot2^{30},3\cdot269\cdot2^{32},31\cdot2^{30}, \\ &-3\cdot13\cdot47\cdot2^{33},31\cdot2^{29},3\cdot269\cdot2^{30},5\cdot61\cdot107\cdot2^{27},-9319\cdot2^{31}, \\ &-3^2\cdot14243\cdot2^{26},-3\cdot1051\cdot2^{30},31\cdot2^{26},1553\cdot2^{28},-5\cdot61\cdot107\cdot2^{24}, \\ &3\cdot269\cdot2^{26},-31\cdot2^{24},-55\cdot41\cdot2^{23},-31\cdot2^{23},3\cdot269\cdot2^{24}, \\ &3^2\cdot5\cdot1061\cdot2^{22},1553\cdot2^{24},31\cdot2^{21},-3\cdot1051\cdot2^{24},-31\cdot2^{20}, \\ &-34\cdot7\cdot37\cdot2^{19},5\cdot61\cdot107\cdot2^{18},3\cdot269\cdot2^{20},31\cdot2^{18},31\cdot3187\cdot2^{17}, \\ &3^2\cdot14243\cdot2^{16},3\cdot269\cdot2^{18},5\cdot61\cdot107\cdot2^{15},-9319\cdot2^{19},-31\cdot2^{15}, \\ &-3\cdot1051\cdot2^{18},31\cdot2^{14},1553\cdot2^{16},-5\cdot61\cdot107\cdot2^{12},3\cdot269\cdot2^{14}, \\ &-3^2\cdot14243\cdot2^{11},-55\cdot41\cdot2^{11},-31\cdot2^{11},3\cdot269\cdot2^{12},-5\cdot61\cdot107\cdot2^9, \\ &-3\cdot38567\cdot2^9,31\cdot2^9,-3\cdot1051\cdot2^{12},-31\cdot2^8,-9319\cdot2^{11},-3^2\cdot5\cdot1061\cdot2^7, \\ &3\cdot269\cdot2^8,31\cdot2^6,31\cdot3187\cdot2^5,31\cdot2^5,3\cdot269\cdot2^6,5\cdot61\cdot107\cdot2^3, \\ &-9319\cdot2^7,-31\cdot2^3,-3\cdot1051\cdot2^6,3^2\cdot14243\cdot2,1553\cdot2^4,-61\cdot107\cdot5, \\ &3\cdot269\cdot2^2,-31,0)) \end{align}}
0 = P ( 1 , 729 , 12 , ( 0 , 81 , − 162 , 0 , 27 , 36 , 0 , 9 , 6 , 4 , − 1 , 0 ) ) {\displaystyle \begin{align}0=P(1,729,12,(0,81,-162,0,27,36,0,9,6,4,-1,0))\end{align}}
0 = P ( 1 , 729 , 12 , ( 243 , − 324 , − 162 , − 81 , 0 , − 36 , − 9 , 0 , 6 , − 1 , 0 , 0 ) ) {\displaystyle \begin{align}0=P(1,729,12,(243,-324,-162,-81,0,-36,-9,0,6,-1,0,0))\end{align}}
