Message #2930

From: mananself@gmail.com
Subject: RE: 120Z solved!!!
Date: Thu, 30 Jan 2014 16:11:45 -0800

Andrey,



This is a terrific suggestion. Sage confirms that the rank of the combined matrix is 44 indeed.



See the updated Sage script here http://aleph.sagemath.org/?z=eJzNXU2PGkkSvVvyf6ib6XHLokCakVbak6Xd05y8motltXAb22gMWDRjr-bXTxU0DVUZ8eJlZmTSUqkNVZnx8SLiZWQV4NX6-3a3b3aLzaft-uWLly92i5-_L_a71f9nb5t_N-_ft7fNVD_wVa-jDV6UsEGT0xbwdCzzw23z3rTF0QRGVDimjZRQx048cfxijPTljARt5hRSZh04MxWJGaEmhYo0ryR8XagGSnNIvhDEgT3Sz4Gn8_2uycEYXZn9nNmDNKqQTLysZtqZmY-tjLSXyaZdsYqi7CntBWOV3nvwgmuySp0eMBZI0yppRXTpGcwIuCSu6Xflg3UqIqcL9X1eOF2lwTQxyWMP0aiaG4oSHJLsS0vm4PV5-irUCxSJ3uVQVrBHLFfmpZs7fiRT6WntjT3xOl1emvBkDKKQ5uXHrQyevUdRmMuJMpslkknAgIs94vO5M-Qb0lizSRxSaLt4l5ePJZ9zRXe0ue7Xu-_B5wGGttoemzSJtcT5SUD-BjHB-9IZwTtlsYfjihyLTX474Y40KT-aA6-5RyxNqy7o5vvVDnqP67pFRiBNV05bFXXpGe9cKhwRu-WLt6b7KTRYcDeenEwu60Z-sTmv7gXvMFVmbvfFlVwIWb1XeGIbm8ollgLTQvftVckVsSjZFwU-oWjtAnD-vEcaPL6Nsld_x0iL8P0K9z28MIg9GaWC7zpYmVVzenoRLsceJjNWsYoShVTaudSs6ByZjo6MR9ZmjxIgmcOYLPRiISunSyelr-TkFRT3YslXqaP256d5tGo2Hvn9RsxuPJxanyuqcUsb_C0HQoC0-32PHOTMWvYyr-j2SkEaKEym0tLmJzSbyf1pLjhlV8RyeOfIZPLYsS0Ndi757NFmE5tvTACihYoNiR2wR4kUzL9P4wWPL29EG1PpUwiipUVZ3GSG_HsjcWM8c7o-K9fsuaMmCnl0_U_1OuIh1okXSefSYCmeFtU6MkaFvPSVn_d5jzA4yRuByrvDasLPZ0rtEV1ajhLdWQkJlMxST2z5ezaVO5C0quPdgUhHzY4tIpcmuBq3uByhze1t5jOXBAbQeL2o0-66Ukq0-JMAvgYw_z0Hho4VOBhQ-4mtLwDkCuMVpWSCDdjjeW5JYqPqsHolaTRGVnq6VS56wOCnv4WcihNYlj0qLPdiPpE7qaobzSuwh2Yv39Yn3Nwot-QnIR2FUNodINM5xxsj_IpYo_bqfSfA_U5IiUC5xIToPUwBTIE7JmXaLN8EzVmFiH662h4Oq-O1m0HOb_1yofC8a8rndFu9AK5Ig_FI84WZk0DkXN_Wokbp1vjmZ3KI8lXnm-QWh4L9dIlUJrW4oOiCw1nIs_jFq1AOGXOv2wTuJSccZb8TIG4fvBrrfDnVdsMnpAutFjwhpGFZ-q6FV5VeIO0iz2zc3BMIqKscOuqo-lu9oU880xe9ScLbkK6xyB4RM2LUrYNyAfdttOKRdkkdfm9corvw7VLdQlHkrmlaIuIgl-vyS7fUGUhP49mAETgCVWtdrr-vTgPqw4fB__Ayf_ofXsxI4_XdbKN5-Qyh8c1GOFFbntvh1VAOs8nSNmUH7I8dtgvSUYSd3LWJcGKQSKvIuWZyyRZG3Akx40ouKmTJiw2J6XQIeRRVY68xxYlFch5_3jVqhcbzgDhdfBvlgSaWoXAgISojTF_sYI7359g5xgrNSxEksopE23CikxCCq1oiAMtRjqif1MNeYoyBWyLJ4b-kASaoDGBmEEz-VDU653SCB1GsCVwXw355jNRpyQqMFN3RCnU8PeLTpxpHRkEV0mRCsWvkY9YyTgpN0ShcZN5LSGv6Qz9y8k_0iYkYRgLQv4uFId44qqrMQU630CHeTPFvrBztTBSRi8KTOY05qWXTRT-NuccUPAoUWWKt9JaEXDND9EIjHP5gMEEGR9zdw0yWbCYYDOJJGqyZHZokUn4CqCqVeeZ0LLpp56Niy4clnAK4rr04pvrgwRl1jygakkC0sVPISIbDzPgwY5gYanpBkbS35fpp0zQNqnBAmD1kkPmrosYoIQDvgD1Cv80kMJ0TE5Qxk4-hmEAqWeqzwphrogCuyM6spzCY0sgUSQiFyL7JVQ8iBjAWcUAqzv00WXda-eOYxKJr1i8_C8RETF8z0bFw9fWApzUlDEh8SsVyBcg2EQkxI-3qhtLwxBZOebwk78Zx4SdUq4gxQ6jaeDNEvHDTI16-GIHHt-N-OrdG6Ggkk5-GXE7uttAXrEIzdXx4Pt1i7MLDmMzWTppQiQM0PtawB2WJQdORpuJEBwc7h6WNqIykAiYUTOFpY6LLqWw_bU4Rcwjg3UpzGS2MhWb0NECo3Ensp9shSKQ3JnjTSJnAbyb7RUUijzGZDdzsD-d7eYDGEjgYXwpDbVKmCKqpDruPBZ7PDHoPJpNIe3nXw8EicWmkoaWglgKahWS-mpcspBOipUEVC3ysixprMXRhSgYmYb9soov4RDXIM_CaCVqI1mVqYkJjggxMiipjPpWFw_nzHryNgPWZAwfWRD2sDWA5yC8gf_y2yG6cz_6RLmBAWj5h1zRTTZoPz9vl5LxzwayJ2Q4jhAGL9huOFGOLK1AEbQBCqd4DJCgpAetKwxKnTw7A2vTzyCL3p8WEJu0V5TCcah5ASxr2mFvGIGTtEUevRSVRMkP_kiOsASkSM0YawIldGAxz_lyeSNtRqOPaD18npB24SpailkpInSfSJs8B883CyMSAD3hUxpvEfzbb8-mWmNC8yaENGF3gqBkN8QzDD0ysRDSCnNbKPy0hwCUz85gyEwMei80ozlrYwQAcsccznk-3tCQzqywKmBE8msapNKANpmuzSKvEqpaPIvc9gJkaLUTVDMkYbQA5I1OMDMBHy_LxW8-di5jWPAloaAGoGFMxluQBvBaHCSCoTwLMOJGJZc4CuUhaFQubqT0EVXMW18PgatY3ydvgADaGU0iQmKoHkZkO9QLJPIORzD041P-jQbTLVGJSB1_vKd7QSR-WOc5a0gzk_vh7Lryx5MHwSag3nAvYbCqhhdOEoSx8lSF7BenYbNOMNfEAQTDLBoQOQMtbggvSDCmKlfOKOPLSREXLWjwSe8kESuP40B7eQuMo-AlIM4MTgAcwa7EV4WQKg8wvkWmFuUU-AallTHiJVEdWKNbOJt_QNtNCc2I7RhqDHcpgtOFgM0lDprtG-eJrcWQsojjOwnnP54h8EojFnhY6gJ_21iw2bAYJy3hYke8jhsmEswpYKjqXXNcANgZp3ngBz3FOp-mnVEnx1uAnCUc7wxQnw4HJ0ArmlfqeywiqkdM8kIy6KAujuFE0Ek_neFrECSsMr_Im8LiCYDIrAK8xudgAeq3AHqS9IcbYe9FAnFWiQ1EkZjIGpjhTsmh_SFznq56fnwYUgS3CCcEAaaZaVP2oaOl-2UqL7MZBrEKwGT9IkEYFoyWImc0JhrUW8Kdn42Yh49wCyskUN8-LfMyHWjQAOMXIN2M1sPz4S6e_v5v1P3F6_LXTd98X98vJf_8zmd3cNr_NuqGz6U035nDxOK4bPnn6ddTZ25ujjLki49fpUMZxXDd8cvELqzcnOzQp7TwwZX4yZj4wp3ndBIK3P5bd2D-W9_vtbij2IPHdfrFfHnwThvw2O42YKyN-nR60bHerL6vN4tvdulP30NvW_Tt5v1tsPm3Xb_p_Vpv9pEfjpvm83TUfm9WmM3XzZTnpzfhwEPJwv1usP35bfrp76FV2Uh5VT57Q-6UZaurmPWy__bVfbTdP2M3fvunO_VjedSO_7icjqd2MxbfH2Xf7r4v93XHw_L4T8CTr9UjPwbx–t3s_u7n1-WmG3-c-OlJ76w3T5H98sX3XYdA86rzaLdfbb40n3fbdbNojgg1JyNvm15403m62C2bo4LbZv-1e32AZPu56dRsdx9X-2b18K9m8vdyt23Wy8XmoVn-6GZ-X-7Wf3VDOyduXp20Kpb3Tj2a9TT01f86XZ2K9cGlXsfTpZOXF9P6wZ0Hf_Z27ccTm1cdjA_73eQ0sc-DPyc3N6re3fZn89BnlyJvbMmbbsLdYcJEFzoHzsyRM3PgzDzBmTlyZs45cyhx5FHPCDhAr6Fj_fyza_8ABNYJqg==&lang=sage



I just noticed that the sage cell server probably URL encoded the whole script and put it in the shared URL. So every time I change the script, the sharable URL changes.



Nan


—In 4D_Cubing@yahoogroups.com, <andreyastrelin@…> wrote:


Nan,
It’s very easy to check that kernel of 3C system lays in the kernel of 2C: take combined matrix (with 120 columns and 132=60+72 rows) and compute its rank. If you get 44, then your theory is right.
So we have only 8 degrees of freedom between 2C and 3C? Interesting. I’ve expected much more… I’ll think about it.



Andrey.