curve                                                                                           type     gap    planar check (gap 1 <=> plane curve or pseudostar of lines)
conic                                                                                           (1,2)    1      True  ok
plane rational cubic                                                                            (1,2)    1      True  ok
plane rational quartic                                                                          (1,2)    1      True  ok
conic + line in the same plane                                                                  (1,2)    1      True  ok
plane cubic + conic + line in the same plane                                                    (1,2)    1      True  ok
twisted cubic                                                                                   (2,4)    2      False ok
rational quartic (1,t,t^3,t^4)                                                                  (2,4)    2      False ok
rational quintic                                                                                (3,6)    3      False ok
conic + line through a point of it, not coplanar                                                (2,4)    2      False ok
conic + line meeting its plane off the conic                                                    (2,4)    2      False ok
conic + secant line of ... (two points) in its plane and a line out of the plane                (2,4)    2      False ok
two conics in two planes meeting in two points                                                  (2,4)    2      False ok
two conics in two planes, tangent to the common line at the same point                          (2,4)    2      False ok
twisted cubic + a chord                                                                         (2,4)    2      False ok
twisted cubic + a tangent line                                                                  (2,4)    2      False ok
twisted cubic + three chords (triangle)                                                         (3,5)    2      False ok
three conics = sections of the quadric x0x3 = x1x2 ... (two planes sections + third)            (2,4)    2      False ok
three concurrent non-coplanar lines (pseudostar m=3)                                            (2,3)    1      False ok
tetrahedron edges (pseudostar m=4)                                                              (3,4)    1      False ok
tetrahedron edges with one edge replaced by a conic in a face through the two vertices          (3,5)    2      False ok
tetrahedron edges + a conic in a face                                                           (3,5)    2      False ok
triangle with one side replaced by a conic (plane curve)                                        (1,2)    1      True  ok
plane conic + a line through two of its points... coplanar + third concurrent line out of plane (2,4)    2      False ok
two disjoint conics in two planes                                                               (2,4)    2      False ok
multiple curves of x0 x1 Q: a line and two conics through two points of it                      (2,4)    2      False ok
multiple curves of x0 x1 x2 Q: three concurrent lines and three conics                          (3,5)    2      False ok
three conics cut on a quadric by three planes through a point                                   (2,4)    2      False ok
plane rational cubic + a line through a smooth point of it, out of the plane                    (2,4)    2      False ok
plane rational cubic + a line through its double point (0,0,1,0), out of the plane              (2,4)    2      False ok
twisted cubic + two tangent lines                                                               (2,4)    2      False ok

30 curves over F_32003, 0 violations
