NumberDBbeta
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The advanced searchbar can be used to search for:
• Lists of real numbers
Use Sage syntax to enter a number, a list of numbers, or a dictionary of the form {param: number}. The lists and dictionaries may be nested. The numbers might be given via formulas involving standard functions such as sin and sqrt, as well as standard constants such as e and pi.
Examples:
• Lists of complex numbers
Similarly one can search for complex numbers. Recommended parents are CIF (complex interval field), CBF (complex ball field), and SR (symbolic ring), although CC (complex field via floats) should work as well unless too much precision is lost during the computation.
Similarly one can search for p-adic numbers in $\mathbb{Z}_p$ and $\mathbb{Q}_p$.
• Lists of polynomials over $\mathbb{Q}$
Similarly one can search for multivariate polynomials over $\mathbb{Q}$. As only expressions are accepted (mainly for safety reasons), we can define the variables as in the following example:
 Index Number Table 1: 2 Integers (#2) 1: 2 Diagonal Ramsey numbers (#2) 1: 2 Factorial of natural numbers (#2) 1: 2 Area of the regular n-gon (#unit-R,4) 1: 2 Volume of the $d$-dimensional unit ball (#1) 1: 2 Volume of the $d$-dimensional unit sphere (#0) 1: 2 Rational numbers (#2) 1: 2 Generalized Bernoulli numbers (#8,5,2) 1: 2 $abc$-triples of high quality (#1.629911,a) 1: 2 Number of elliptic curves over $\mathbb{Q}$ with good redution outside $S$ (#3,Qbar) 1: 2 First known Mordell curves of given rank (#1,pos) 1: 2 Values of the Barnes $G$-function at rational numbers (#4) 2: 4 Integers (#4) 2: 4 Area of the regular n-gon (#unit-r,4) 2: 4 Rational numbers (#4) 2: 4 Number of elliptic curves over $\mathbb{Q}$ with good redution outside $S$ (#7,Q) 2: 4 Highest known ranks of elliptic curves over $\mathbb{Q}$ with prescribed torsion subgroup (#Z9) 3: 8 Integers (#8) 3: 8 Volume of the Platonic solids (#unit-r,cube) 3: 8 Surface area of the Platonic solids (#unit-R,cube) 3: 8 Number of elliptic curves over $\mathbb{Q}$ with good redution outside $S$ (#3,Q) 4: 16 Number of elliptic curves over $\mathbb{Q}$ with good redution outside $S$ (#39,Qbar) 5: 32 Number of elliptic curves over $\mathbb{Q}$ with good redution outside $S$ (#10,Qbar) 6: 64 $j$-invariants of elliptic curves over quadratic fields with everywhere good reduction (#104) 6: 64 Number of elliptic curves over $\mathbb{Q}$ with good redution outside $S$ (#187,Q) 7: 128 $abc$-triples of high quality (#1.426565,c) 7: 128 $j$-invariants of elliptic curves over $\mathbb{Q}$ with good reduction outside $\{2, 3, 5\}$ 8: 256 Number of elliptic curves over $\mathbb{Q}$ with good redution outside $S$ (#34,Q) 10: 1024 Number of elliptic curves over $\mathbb{Q}$ with good redution outside $S$ (#399,Q)