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Somc computatiounal enxpriments i nunibei theory Applications of the class fielid theory of global fields us Tiker 'a Some ternary Diophiantine equations of signature (n, n. 2 Sudyving the Binch and Swrinerton-Dyer conjecture for dular abclian varieiees using Magma lli i a Stein .3. . . . . . . . . .. . . . . . . .. .. . . . . . . . . . 3 Computing with thei analytic Jacobian of a genus 2 curve Pal B v in Warncle . 117 Graded ings and special h3 surfacess Conrtructing the split octionios Spport varieties for mrodules J ii F. C r'e n ..........v.i .............. hn s projetiviy t ttec ted on. subalg ebas? )_ohknlogy ad group extensixons in Magma Computing the primitive permutation groups of degree less than 1000 Computer aided discovery of a fast algorithlim for testing onji gacv iMn b raid groups Sarchirg foxr linear codes with large minimumn distance Colouring planat graphs IauJRt. Li. . . .