︠6d83ff1b-9fdd-48e4-9555-e3c15e2411e4s︠ n=120 ︡9fd74b86-451b-46e5-981c-055b21cf78e4︡{"done":true}︡ ︠89aadba9-a38a-456e-9376-022ad2e3a6f9s︠ A=n.divisors();A ︡3d5fa653-3465-4e55-adc5-243cf2010e19︡{"stdout":"[1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120]\n"}︡{"done":true}︡ ︠24ffb135-0de4-4bf3-832a-68c43f7e8317s︠ r={} for a in A: r[a]=filter(lambda b:(b%a==0)and (b//a).is_prime(),A) r ︡f4cff944-19eb-4e56-a2ce-287b944e0b60︡{"stdout":"{1: [2, 3, 5], 2: [4, 6, 10], 3: [6, 15], 4: [8, 12, 20], 5: [10, 15], 6: [12, 30], 8: [24, 40], 10: [20, 30], 12: [24, 60], 15: [30], 40: [120], 20: [40, 60], 24: [120], 120: [], 60: [120], 30: [60]}\n"}︡{"done":true}︡ ︠3728e1da-e00e-4583-8cb9-26a878671b16s︠ DiGraph(r).plot() ︡69eff548-f282-40b3-92ca-a0a060373164︡{"file":{"filename":"/projects/f351622c-d261-4717-abee-4c0bfa210e88/.sage/temp/compute4-us/18397/tmp_8U3xkU.svg","show":true,"text":null,"uuid":"76084f0a-ba0d-48eb-9d49-a982f02e54e9"},"once":false}︡{"done":true}︡ ︠594daf66-3a71-4ef6-b9a2-6a9c7f94c258s︠ R=DiGraph(r).adjacency_matrix();R ︡b26a0988-9106-4ae5-af86-94f5c71ffbdf︡{"stdout":"[0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0]\n[0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0]\n[0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0]\n[0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0]\n[0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0]\n[0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0]\n[0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0]\n[0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0]\n[0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0]\n[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n"}︡{"done":true}︡ ︠01b6495a-81ec-4e8b-8c3b-efe8887bde44s︠ R*R ︡fe80431f-033a-405e-9cb6-ecd43d8021c4︡{"stdout":"[0 0 0 1 0 2 0 2 0 2 0 0 0 0 0 0]\n[0 0 0 0 0 0 1 0 2 0 2 0 2 0 0 0]\n[0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0]\n[0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0]\n[0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0]\n[0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 0]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n"}︡{"done":true}︡ ︠512929fd-0c06-4d2c-9c71-f1ba9bf993fd︠ ︡aed2cbad-e789-4cec-975e-b545eb2ae4cb︡ ︠36c4533b-2588-4241-a038-28d22ebf1f3cs︠ R + R*R+R*R*R ︡1cfdd645-80d0-491a-bcdc-b494b86f8bd0︡{"stdout":"[0 1 1 1 1 2 1 2 3 2 3 0 6 0 0 0]\n[0 0 0 1 0 1 1 1 2 0 2 3 2 3 6 0]\n[0 0 0 0 0 1 0 0 1 1 0 1 2 0 3 0]\n[0 0 0 0 0 0 1 0 1 0 1 2 0 2 2 6]\n[0 0 0 0 0 0 0 1 0 1 1 0 2 1 3 0]\n[0 0 0 0 0 0 0 0 1 0 0 1 1 0 2 3]\n[0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 2]\n[0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 3]\n[0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2]\n[0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1]\n[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n"}︡{"done":true}︡ ︠3746f9f8-19e1-49d6-8bc4-6ecda7c5d22bs︠ DiGraph(r).transitive_closure().show() ︡c389ff99-0187-4fb0-b8e9-108f09d10651︡{"file":{"filename":"/projects/f351622c-d261-4717-abee-4c0bfa210e88/.sage/temp/compute4-us/18397/tmp_xynSb7.svg","show":true,"text":null,"uuid":"ab79ef66-34a8-4c6d-80e2-747612a9959d"},"once":false}︡{"done":true}︡ ︠673cc7c4-0fe6-4f77-b8b8-35ec4b6d75da︠