name: sage-math-interface description: SageMath for comprehensive mathematical computation allowed-tools:

• Bash
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• Glob
• Grep metadata: specialization: mathematics domain: science category: symbolic-computation phase: 6

SageMath Interface

Purpose

Provides interface with SageMath for comprehensive mathematical computation spanning algebra, number theory, geometry, and more.

Capabilities

• Unified interface to multiple CAS systems
• Number theory computations
• Algebraic geometry calculations
• Combinatorics and graph theory
• Cryptographic functions
• Notebook interface generation

Usage Guidelines

1. Python Syntax: Use Python-based SageMath conventions
2. Backend Selection: Choose appropriate computational backend
3. Number Theory: Use built-in number theoretic functions
4. Algebraic Structures: Work with rings, fields, groups

Tools/Libraries

• SageMath
• GAP
• Singular
• PARI/GP