Failed example:: Got: Shortcuts for SandpileConfig operations: ~c -- stabilize c & d -- add and stabilize c * c -- add and find equivalent recurrent c^k -- add k times and find equivalent recurrent (taking inverse if k is negative) For detailed help with any method FOO listed below, enter "SandpileConfig.FOO?" or enter "c.FOO?" for any SandpileConfig c. add_random -- Add one grain of sand to a random vertex. burst_size -- The burst size of the configuration with respect to the given vertex. deg -- The degree of the configuration. dualize -- The difference with the maximal stable configuration. equivalent_recurrent -- The recurrent configuration equivalent to the given configuration. equivalent_superstable -- The equivalent superstable configuration. fire_script -- Fire the given script. fire_unstable -- Fire all unstable vertices. fire_vertex -- Fire the given vertex. help -- List of SandpileConfig methods. is_recurrent -- Return whether the configuration is recurrent. is_stable -- Return whether this configuration is stable. is_superstable -- Return whether the configuration is superstable. is_symmetric -- Is the configuration symmetric? order -- The order of the equivalent recurrent element. sandpile -- The configuration's underlying sandpile. show -- Show the configuration. stabilize -- The stabilized configuration. support -- The vertices containing sand. unstable -- The unstable vertices. values -- The values of the configuration as a list.

Failed example:: Got: For detailed help with any method FOO listed below, enter "SandpileDivisor.FOO?" or enter "D.FOO?" for any SandpileDivisor D. Dcomplex -- The support-complex. add_random -- Add one grain of sand to a random vertex. betti -- The Betti numbers for the support-complex. deg -- The degree of the divisor. dualize -- The difference with the maximal stable divisor. effective_div -- All linearly equivalent effective divisors. fire_script -- Fire the given script. fire_unstable -- Fire all unstable vertices. fire_vertex -- Fire the given vertex. help -- List of SandpileDivisor methods. is_alive -- Is the divisor stabilizable? is_linearly_equivalent -- Is the given divisor linearly equivalent? is_q_reduced -- Is the divisor q-reduced? is_symmetric -- Is the divisor symmetric? is_weierstrass_pt -- Return whether the given vertex is a Weierstrass point. polytope -- The polytope determining the complete linear system. polytope_integer_pts -- The integer points inside divisor's polytope. q_reduced -- The linearly equivalent q-reduced divisor. rank -- The rank of the divisor. sandpile -- The divisor's underlying sandpile. show -- Show the divisor. simulate_threshold -- The first unstabilizable divisor in the closed Markov chain. stabilize -- The stabilization of the divisor. support -- List of vertices at which the divisor is nonzero. unstable -- The unstable vertices. values -- The values of the divisor as a list. weierstrass_div -- The Weierstrass divisor. weierstrass_gap_seq -- The Weierstrass gap sequence at the given vertex. weierstrass_pts -- The Weierstrass points (vertices). weierstrass_rank_seq -- The Weierstrass rank sequence at the given vertex.

Failed example:: Got: 'The all 1s sequence.'

Failed example:: Got: '1s-counting sequence: number of 1s in binary expansion of n.'

Failed example:: Got: 'Odious numbers: odd number of 1s in binary expansion.'

Failed example:: Got: 'Evil numbers: even number of 1s in binary expansion.'

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1143, in compile_and_execute compiled = compiler(example) File "/sage/src/sage/doctest/forker.py", line 682, in compiler code = compile(example.source, filename, "single", File "<doctest sage.doctest.parsing.SageDocTestParser.parse[27]>", line 1 example3 = 'sage: Zp(5,4,print_mode='digits')(5)\n...00010' ^^^^^^ SyntaxError: invalid syntax

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1145, in compile_and_execute exec(compiled, globs) File "<doctest sage.doctest.parsing.SageDocTestParser.parse[28]>", line 1, in <module> parsed3 = DTP.parse(example3) NameError: name 'example3' is not defined

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1145, in compile_and_execute exec(compiled, globs) File "<doctest sage.doctest.parsing.SageDocTestParser.parse[29]>", line 1, in <module> dte = parsed3[Integer(1)] NameError: name 'parsed3' is not defined

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1145, in compile_and_execute exec(compiled, globs) File "<doctest sage.doctest.parsing.SageDocTestParser.parse[30]>", line 1, in <module> dte.sage_source NameError: name 'dte' is not defined

Process completed with exit code 1.