Adapt findstat interface to new version of findstat.org

[mantepse]

findstat.org very recently switched to python 3, which slightly affects doctests in the interface. The doctest failures are as follows.

File "src/sage/databases/findstat.py", line 49, in sage.databases.findstat
Failed example:
    r = findstat([(m, m.number_of_nestings()) for n in range(6) for m in PM(2*n)], depth=1); r # optional -- internet
Expected:
    0: St000042oMp00116 (quality [100, 100])
    1: St000041 (quality [20, 100])
    ...
Got:
    0: St000233 (quality [16, 100])
    1: St000496 (quality [16, 100])
    2: St000233oMp00112 (quality [16, 100])
    3: St000496oMp00112 (quality [16, 100])
    4: St000232oMp00115 (quality [12, 70])
    5: St000233oMp00249 (quality [12, 70])
    6: St000496oMp00249 (quality [12, 70])
**********************************************************************
File "src/sage/databases/findstat.py", line 83, in sage.databases.findstat
Failed example:
    print(r[1].statistic().description())                                 # optional -- internet
Expected:
    The number of nestings of a perfect matching.
    <BLANKLINE>
    <BLANKLINE>
    This is the number of pairs of edges $((a,b), (c,d))$ such that $a\le c\le d\le b$. i.e., the edge $(c,d)$ is nested inside $(a,b)$...
Got:
    The rcs statistic of a set partition.

    Let $S = B_1,\ldots,B_k$ be a set partition with ordered blocks $B_i$ and with $\operatorname{min} B_a < \operatorname{min} B_b$ for $a < b$.

    According to [1, Definition 3], a '''rcs''' (right-closer-smaller) of $S$ is given by a pair $i > j$ such that $j = \operatorname{max} B_b$ and $i \in B_a$ for $a < b$.
**********************************************************************
File "src/sage/databases/findstat.py", line 91, in sage.databases.findstat
Failed example:
    r[1].statistic().references()                                         # optional -- internet
Expected:
    0: [1]  de Médicis, A., Viennot, X. G., Moments des $q$-polynômes de Laguerre et la bijection de Foata-Zeilberger [[MathSciNet:1288802]]
    1: [2]  Simion, R., Stanton, D., Octabasic Laguerre polynomials and permutation statistics [[MathSciNet:1418763]]...
Got:
    0: [1]  Steingrimsson, E., Statistics on ordered partitions of sets [[arXiv:math/0605670]]
**********************************************************************
File "src/sage/databases/findstat.py", line 104, in sage.databases.findstat
Failed example:
    findstat(data, depth=0)                                               # optional -- internet
Expected:
    0: St000041 (quality [99, 100])
    1: St000042 (quality [99, 100])
Got:
    0: St000232 (quality [99, 100])
    1: St000233 (quality [99, 100])
    2: St000496 (quality [99, 100])
    3: St000559 (quality [15, 57])
    4: St000563 (quality [15, 57])
    5: St001781 (quality [15, 57])
**********************************************************************
File "src/sage/databases/findstat.py", line 120, in sage.databases.findstat
Failed example:
    r = findstat(Permutations, lambda pi: pi.saliances()[0], depth=2); r  # optional -- internet
Expected:
    0: St000740oMp00087 with offset 1 (quality [100, 100])
    ...
Got:
     0: St000740oMp00066 with offset 1 (quality [100, 100])
     1: St000740oMp00087 with offset 1 (quality [100, 100])
     2: St000476oMp00099oMp00127 (quality [100, 100])
     3: St000740oMp00238oMp00087 with offset 1 (quality [100, 100])
     4: St000740oMp00236oMp00087 with offset 1 (quality [100, 100])
     5: St000740oMp00236oMp00066 with offset 1 (quality [100, 100])
     6: St000740oMp00238oMp00066 with offset 1 (quality [100, 100])
     7: St000740oMp00089oMp00149 with offset 1 (quality [100, 100])
     8: St000740oMp00087oMp00254 with offset 1 (quality [100, 100])
     9: St000740oMp00159oMp00254 with offset 1 (quality [100, 100])
    10: St000740oMp00066oMp00254 with offset 1 (quality [100, 100])
    11: St000740oMp00257oMp00066 with offset 1 (quality [99, 100])
    12: St000740oMp00257oMp00087 with offset 1 (quality [99, 100])
    13: St000740oMp00067oMp00062 with offset 1 (quality [99, 100])
    14: St000147oMp00027oMp00127 (quality [96, 100])
    15: St000740oMp00175oMp00062 with offset 1 (quality [91, 100])
    16: St000054oMp00066oMp00149 with offset 1 (quality [89, 100])
    17: St000054oMp00064oMp00062 with offset 1 (quality [88, 100])
    18: St000740oMp00175oMp00087 with offset 1 (quality [88, 100])
    19: St000740oMp00067oMp00087 with offset 1 (quality [88, 100])
    20: St000740oMp00175oMp00066 with offset 1 (quality [88, 100])
    21: St000740oMp00067oMp00066 with offset 1 (quality [88, 100])
    22: St000740oMp00257oMp00062 with offset 1 (quality [88, 100])
    23: St000740oMp00062 with offset 1 (quality [87, 100])
    24: St000054oMp00064oMp00087 with offset 1 (quality [87, 100])
    25: St000054oMp00025oMp00127 with offset 1 (quality [87, 100])
    26: St000054oMp00064oMp00066 with offset 1 (quality [87, 100])
    27: St000141oMp00025oMp00127 (quality [87, 100])
    28: St000740oMp00062oMp00254 with offset 1 (quality [87, 100])
    29: St000740oMp00238oMp00062 with offset 1 (quality [87, 100])
    30: St000740oMp00236oMp00062 with offset 1 (quality [87, 100])
    31: St001291oMp00127 with offset 1 (quality [87, 86])
    32: St000051oMp00061oMp00069 (quality [87, 86])
    33: St000051oMp00061oMp00149 (quality [87, 86])
    34: St000316oMp00025oMp00127 (quality [87, 86])
    35: St000653oMp00129oMp00127 (quality [87, 86])
    36: St000740oMp00089oMp00069 with offset 1 (quality [87, 86])
    37: St001184oMp00127oMp00064 with offset 1 (quality [87, 86])
    38: St001227oMp00028oMp00127 (quality [87, 86])
    39: St001291oMp00132oMp00127 with offset 1 (quality [87, 86])
    40: St001291oMp00124oMp00127 with offset 1 (quality [87, 86])
    41: St001291oMp00127oMp00254 with offset 1 (quality [87, 86])
    42: St001291oMp00099oMp00127 with offset 1 (quality [87, 86])
    43: St001480oMp00032oMp00127 (quality [87, 86])
    44: St001480oMp00118oMp00127 (quality [87, 86])
    45: St000066oMp00063oMp00149 with offset 1 (quality [54, 86])
    46: St000066oMp00063oMp00069 with offset 1 (quality [54, 86])
    47: St000840oMp00146oMp00127 (quality [18, 86])
    48: St000199oMp00063 with offset 1 (quality [15, 71])
    49: St000193oMp00004oMp00063 with offset 1 (quality [15, 71])
    50: St000199oMp00063oMp00254 with offset 1 (quality [15, 71])
    51: St000199oMp00137oMp00127 with offset 1 (quality [15, 71])
    52: St000200oMp00063oMp00062 with offset 1 (quality [15, 71])
    53: St000200oMp00005oMp00063 with offset 1 (quality [15, 71])
    54: St000200oMp00063oMp00087 with offset 1 (quality [15, 71])
    55: St000200oMp00035oMp00127 with offset 1 (quality [15, 71])
    56: St000200oMp00137oMp00127 with offset 1 (quality [15, 71])
    57: St000740oMp00201oMp00127 with offset 1 (quality [15, 71])
    58: St001291oMp00199oMp00127 with offset 1 (quality [15, 71])
**********************************************************************
File "src/sage/databases/findstat.py", line 127, in sage.databases.findstat
Failed example:
    r[0].info()                                                           # optional -- internet
Expected:
    after adding 1 to every value
    and applying
        Mp00087: inverse first fundamental transformation: Permutations -> Permutations
    to the objects (see `.compound_map()` for details)
    <BLANKLINE>
    your input matches
        St000740: The last entry of a permutation.
    <BLANKLINE>
    among the values you sent, 100 percent are actually in the database,
    among the distinct values you sent, 100 percent are actually in the database
Got:
    after adding 1 to every value
    and applying
        Mp00066: inverse: Permutations -> Permutations
    to the objects (see `.compound_map()` for details)
    <BLANKLINE>
    your input matches
        St000740: The last entry of a permutation.
    <BLANKLINE>
    among the values you sent, 100 percent are actually in the database,
    among the distinct values you sent, 100 percent are actually in the database
**********************************************************************
File "src/sage/databases/findstat.py", line 434, in sage.databases.findstat._get_json
Failed example:
    _get_json(FINDSTAT_API_MAPS + "?xxx=yyy")                         # optional -- internet
Expected:
    Traceback (most recent call last):
    ...
    ValueError: E005: On filtering maps, the following parameters are not allowed: [u'xxx'].
Got:
    {'data': ['Mp00001',
      'Mp00002',
      'Mp00003',
      'Mp00004',
      'Mp00005',
      'Mp00006',
      'Mp00007',
      'Mp00008',
      'Mp00009',
      'Mp00010',
      'Mp00011',
      'Mp00012',
      'Mp00013',
      'Mp00014',
      'Mp00015',
      'Mp00016',
      'Mp00017',
      'Mp00018',
      'Mp00019',
      'Mp00020',
      'Mp00021',
      'Mp00022',
      'Mp00023',
      'Mp00024',
      'Mp00025',
      'Mp00026',
      'Mp00027',
      'Mp00028',
      'Mp00029',
      'Mp00030',
      'Mp00031',
      'Mp00032',
      'Mp00033',
      'Mp00034',
      'Mp00035',
      'Mp00036',
      'Mp00037',
      'Mp00038',
      'Mp00039',
      'Mp00040',
      'Mp00041',
      'Mp00042',
      'Mp00043',
      'Mp00044',
      'Mp00045',
      'Mp00046',
      'Mp00047',
      'Mp00048',
      'Mp00049',
      'Mp00050',
      'Mp00051',
      'Mp00052',
      'Mp00053',
      'Mp00054',
      'Mp00055',
      'Mp00056',
      'Mp00057',
      'Mp00058',
      'Mp00059',
      'Mp00060',
      'Mp00061',
      'Mp00062',
      'Mp00063',
      'Mp00064',
      'Mp00065',
      'Mp00066',
      'Mp00067',
      'Mp00068',
      'Mp00069',
      'Mp00070',
      'Mp00071',
      'Mp00072',
      'Mp00073',
      'Mp00074',
      'Mp00075',
      'Mp00076',
      'Mp00077',
      'Mp00078',
      'Mp00079',
      'Mp00080',
      'Mp00081',
      'Mp00082',
      'Mp00083',
      'Mp00084',
      'Mp00085',
      'Mp00086',
      'Mp00087',
      'Mp00088',
      'Mp00089',
      'Mp00090',
      'Mp00091',
      'Mp00092',
      'Mp00093',
      'Mp00094',
      'Mp00095',
      'Mp00096',
      'Mp00097',
      'Mp00098',
      'Mp00099',
      'Mp00100',
      'Mp00101',
      'Mp00102',
      'Mp00103',
      'Mp00104',
      'Mp00105',
      'Mp00106',
      'Mp00107',
      'Mp00108',
      'Mp00109',
      'Mp00110',
      'Mp00111',
      'Mp00112',
      'Mp00113',
      'Mp00114',
      'Mp00115',
      'Mp00116',
      'Mp00117',
      'Mp00118',
      'Mp00119',
      'Mp00120',
      'Mp00121',
      'Mp00122',
      'Mp00123',
      'Mp00124',
      'Mp00125',
      'Mp00126',
      'Mp00127',
      'Mp00128',
      'Mp00129',
      'Mp00130',
      'Mp00131',
      'Mp00132',
      'Mp00133',
      'Mp00134',
      'Mp00135',
      'Mp00136',
      'Mp00137',
      'Mp00138',
      'Mp00139',
      'Mp00140',
      'Mp00141',
      'Mp00142',
      'Mp00143',
      'Mp00144',
      'Mp00145',
      'Mp00146',
      'Mp00147',
      'Mp00148',
      'Mp00149',
      'Mp00150',
      'Mp00151',
      'Mp00152',
      'Mp00153',
      'Mp00154',
      'Mp00155',
      'Mp00156',
      'Mp00157',
      'Mp00158',
      'Mp00159',
      'Mp00160',
      'Mp00161',
      'Mp00162',
      'Mp00163',
      'Mp00164',
      'Mp00165',
      'Mp00166',
      'Mp00167',
      'Mp00168',
      'Mp00169',
      'Mp00170',
      'Mp00171',
      'Mp00172',
      'Mp00173',
      'Mp00174',
      'Mp00175',
      'Mp00176',
      'Mp00177',
      'Mp00178',
      'Mp00179',
      'Mp00180',
      'Mp00181',
      'Mp00182',
      'Mp00183',
      'Mp00184',
      'Mp00185',
      'Mp00186',
      'Mp00187',
      'Mp00188',
      'Mp00189',
      'Mp00190',
      'Mp00191',
      'Mp00192',
      'Mp00193',
      'Mp00194',
      'Mp00195',
      'Mp00196',
      'Mp00197',
      'Mp00198',
      'Mp00199',
      'Mp00200',
      'Mp00201',
      'Mp00202',
      'Mp00203',
      'Mp00204',
      'Mp00205',
      'Mp00206',
      'Mp00207',
      'Mp00208',
      'Mp00209',
      'Mp00210',
      'Mp00211',
      'Mp00212',
      'Mp00213',
      'Mp00214',
      'Mp00215',
      'Mp00216',
      'Mp00217',
      'Mp00218',
      'Mp00219',
      'Mp00220',
      'Mp00221',
      'Mp00222',
      'Mp00223',
      'Mp00224',
      'Mp00225',
      'Mp00226',
      'Mp00227',
      'Mp00228',
      'Mp00229',
      'Mp00230',
      'Mp00231',
      'Mp00232',
      'Mp00233',
      'Mp00234',
      'Mp00235',
      'Mp00236',
      'Mp00237',
      'Mp00238',
      'Mp00239',
      'Mp00240',
      'Mp00241',
      'Mp00242',
      'Mp00243',
      'Mp00244',
      'Mp00245',
      'Mp00246',
      'Mp00247',
      'Mp00248',
      'Mp00249',
      'Mp00250',
      'Mp00251',
      'Mp00252',
      'Mp00253',
      'Mp00254',
      'Mp00255',
      'Mp00256',
      'Mp00257',
      'Mp00258',
      'Mp00259'],
     'included': {'Maps': {}}}
**********************************************************************
File "src/sage/databases/findstat.py", line 457, in sage.databases.findstat._post_json
Failed example:
    _post_json(FINDSTAT_API_STATISTICS, {"xxx": "yyy"})               # optional -- internet
Expected:
    Traceback (most recent call last):
    ...
    ValueError: E005: On filtering statistics, the following parameters are not allowed: ['xxx'].
Got:
    {'data': ['St000001',
      'St000002',
      'St000003',
      'St000004',
      'St000005',
      'St000006',
      'St000007',
      'St000008',
      'St000009',
      'St000010',
      'St000011',
      'St000012',
      'St000013',
      'St000014',
      'St000015',
      'St000016',
      'St000017',
      'St000018',
      'St000019',
      'St000020',
      'St000021',
      'St000022',
      'St000023',
      'St000024',
      'St000025',
      'St000026',
      'St000027',
      'St000028',
      'St000029',
      'St000030',
      'St000031',
      'St000032',
      'St000033',
      'St000034',
      'St000035',
      'St000036',
      'St000037',
      'St000038',
      'St000039',
      'St000040',
      'St000041',
      'St000042',
      'St000043',
      'St000044',
      'St000045',
      'St000046',
      'St000047',
      'St000048',
      'St000049',
      'St000050',
      'St000051',
      'St000052',
      'St000053',
      'St000054',
      'St000055',
      'St000056',
      'St000057',
      'St000058',
      'St000059',
      'St000060',
      'St000061',
      'St000062',
      'St000063',
      'St000064',
      'St000065',
      'St000066',
      'St000067',
      'St000068',
      'St000069',
      'St000070',
      'St000071',
      'St000072',
      'St000073',
      'St000074',
      'St000075',
      'St000076',
      'St000077',
      'St000078',
      'St000079',
      'St000080',
      'St000081',
      'St000082',
      'St000083',
      'St000084',
      'St000085',
      'St000086',
      'St000087',
      'St000088',
      'St000089',
      'St000090',
      'St000091',
      'St000092',
      'St000093',
      'St000094',
      'St000095',
      'St000096',
      'St000097',
      'St000098',
      'St000099',
      'St000100',
      'St000101',
      'St000102',
      'St000103',
      'St000104',
      'St000105',
      'St000106',
      'St000107',
      'St000108',
      'St000109',
      'St000110',
      'St000111',
      'St000112',
      'St000113',
      'St000114',
      'St000115',
      'St000116',
      'St000117',
      'St000118',
      'St000119',
      'St000120',
      'St000121',
      'St000122',
      'St000123',
      'St000124',
      'St000125',
      'St000126',
      'St000127',
      'St000128',
      'St000129',
      'St000130',
      'St000131',
      'St000132',
      'St000133',
      'St000134',
      'St000135',
      'St000136',
      'St000137',
      'St000138',
      'St000139',
      'St000140',
      'St000141',
      'St000142',
      'St000143',
      'St000144',
      'St000145',
      'St000146',
      'St000147',
      'St000148',
      'St000149',
      'St000150',
      'St000151',
      'St000152',
      'St000153',
      'St000154',
      'St000155',
      'St000156',
      'St000157',
      'St000158',
      'St000159',
      'St000160',
      'St000161',
      'St000162',
      'St000163',
      'St000164',
      'St000165',
      'St000166',
      'St000167',
      'St000168',
      'St000169',
      'St000170',
      'St000171',
      'St000172',
      'St000173',
      'St000174',
      'St000175',
      'St000176',
      'St000177',
      'St000178',
      'St000179',
      'St000180',
      'St000181',
      'St000182',
      'St000183',
      'St000184',
      'St000185',
      'St000186',
      'St000187',
      'St000188',
      'St000189',
      'St000190',
      'St000191',
      'St000192',
      'St000193',
      'St000194',
      'St000195',
      'St000196',
      'St000197',
      'St000198',
      'St000199',
      'St000200',
      'St000201',
      'St000202',
      'St000203',
      'St000204',
      'St000205',
      'St000206',
      'St000207',
      'St000208',
      'St000209',
      'St000210',
      'St000211',
      'St000212',
      'St000213',
      'St000214',
      'St000215',
      'St000216',
      'St000217',
      'St000218',
      'St000219',
      'St000220',
      'St000221',
      'St000222',
      'St000223',
      'St000224',
      'St000225',
      'St000226',
      'St000227',
      'St000228',
      'St000229',
      'St000230',
      'St000231',
      'St000232',
      'St000233',
      'St000234',
      'St000235',
      'St000236',
      'St000237',
      'St000238',
      'St000239',
      'St000240',
      'St000241',
      'St000242',
      'St000243',
      'St000244',
      'St000245',
      'St000246',
      'St000247',
      'St000248',
      'St000249',
      'St000250',
      'St000251',
      'St000252',
      'St000253',
      'St000254',
      'St000255',
      'St000256',
      'St000257',
      'St000258',
      'St000259',
      'St000260',
      'St000261',
      'St000262',
      'St000263',
      'St000264',
      'St000265',
      'St000266',
      'St000267',
      'St000268',
      'St000269',
      'St000270',
      'St000271',
      'St000272',
      'St000273',
      'St000274',
      'St000275',
      'St000276',
      'St000277',
      'St000278',
      'St000279',
      'St000280',
      'St000281',
      'St000282',
      'St000283',
      'St000284',
      'St000285',
      'St000286',
      'St000287',
      'St000288',
      'St000289',
      'St000290',
      'St000291',
      'St000292',
      'St000293',
      'St000294',
      'St000295',
      'St000296',
      'St000297',
      'St000298',
      'St000299',
      'St000300',
      'St000301',
      'St000302',
      'St000303',
      'St000304',
      'St000305',
      'St000306',
      'St000307',
      'St000308',
      'St000309',
      'St000310',
      'St000311',
      'St000312',
      'St000313',
      'St000314',
      'St000315',
      'St000316',
      'St000317',
      'St000318',
      'St000319',
      'St000320',
      'St000321',
      'St000322',
      'St000323',
      'St000324',
      'St000325',
      'St000326',
      'St000327',
      'St000328',
      'St000329',
      'St000330',
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      'St001352',
      'St001353',
      'St001354',
      'St001355',
      'St001356',
      'St001357',
      'St001358',
      'St001359',
      'St001360',
      'St001361',
      'St001362',
      'St001363',
      'St001364',
      'St001365',
      'St001366',
      'St001367',
      'St001368',
      'St001369',
      'St001370',
      'St001371',
      'St001372',
      'St001373',
      'St001374',
      'St001375',
      'St001376',
      'St001377',
      'St001378',
      'St001379',
      'St001380',
      'St001381',
      'St001382',
      'St001383',
      'St001384',
      'St001385',
      'St001386',
      'St001387',
      'St001388',
      'St001389',
      'St001390',
      'St001391',
      'St001392',
      'St001393',
      'St001394',
      'St001395',
      'St001396',
      'St001397',
      'St001398',
      'St001399',
      'St001400',
      'St001401',
      'St001402',
      'St001403',
      'St001404',
      'St001405',
      'St001406',
      'St001407',
      'St001408',
      'St001409',
      'St001410',
      'St001411',
      'St001412',
      'St001413',
      'St001414',
      'St001415',
      'St001416',
      'St001417',
      'St001418',
      'St001419',
      'St001420',
      'St001421',
      'St001422',
      'St001423',
      'St001424',
      'St001425',
      'St001426',
      'St001427',
      'St001428',
      'St001429',
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      'St001431',
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      'St001436',
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      'St001438',
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      'St001440',
      'St001441',
      'St001442',
      'St001443',
      'St001444',
      'St001445',
      'St001446',
      'St001447',
      'St001448',
      'St001449',
      'St001450',
      'St001451',
      'St001452',
      'St001453',
      'St001454',
      'St001455',
      'St001456',
      'St001457',
      'St001458',
      'St001459',
      'St001460',
      'St001461',
      'St001462',
      'St001463',
      'St001464',
      'St001465',
      'St001466',
      'St001467',
      'St001468',
      'St001469',
      'St001470',
      'St001471',
      'St001472',
      'St001473',
      'St001474',
      'St001475',
      'St001476',
      'St001477',
      'St001478',
      'St001479',
      'St001480',
      'St001481',
      'St001482',
      'St001483',
      'St001484',
      'St001485',
      'St001486',
      'St001487',
      'St001488',
      'St001489',
      'St001490',
      'St001491',
      'St001492',
      'St001493',
      'St001494',
      'St001495',
      'St001496',
      'St001497',
      'St001498',
      'St001499',
      'St001500',
      'St001501',
      'St001502',
      'St001503',
      'St001504',
      'St001505',
      'St001506',
      'St001507',
      'St001508',
      'St001509',
      'St001510',
      'St001511',
      'St001512',
      'St001513',
      'St001514',
      'St001515',
      'St001516',
      'St001517',
      'St001518',
      'St001519',
      'St001520',
      'St001521',
      'St001522',
      'St001523',
      'St001524',
      'St001525',
      'St001526',
      'St001527',
      'St001528',
      'St001529',
      'St001530',
      'St001531',
      'St001532',
      'St001533',
      'St001534',
      'St001535',
      'St001536',
      'St001537',
      'St001538',
      'St001539',
      'St001540',
      'St001541',
      'St001542',
      'St001543',
      'St001544',
      'St001545',
      'St001546',
      'St001547',
      'St001548',
      'St001549',
      'St001550',
      'St001551',
      'St001552',
      'St001553',
      'St001554',
      'St001555',
      'St001556',
      'St001557',
      'St001558',
      'St001559',
      'St001560',
      'St001561',
      'St001562',
      'St001563',
      'St001564',
      'St001565',
      'St001566',
      'St001567',
      'St001568',
      'St001569',
      'St001570',
      'St001571',
      'St001572',
      'St001573',
      'St001574',
      'St001575',
      'St001576',
      'St001577',
      'St001578',
      'St001579',
      'St001580',
      'St001581',
      'St001582',
      'St001583',
      'St001584',
      'St001585',
      'St001586',
      'St001587',
      'St001588',
      'St001589',
      'St001590',
      'St001591',
      'St001592',
      'St001593',
      'St001594',
      'St001595',
      'St001596',
      'St001597',
      'St001598',
      'St001599',
      'St001600',
      'St001601',
      'St001602',
      'St001603',
      'St001604',
      'St001605',
      'St001606',
      'St001607',
      'St001608',
      'St001609',
      'St001610',
      'St001611',
      'St001612',
      'St001613',
      'St001614',
      'St001615',
      'St001616',
      'St001617',
      'St001618',
      'St001619',
      'St001620',
      'St001621',
      'St001622',
      'St001623',
      'St001624',
      'St001625',
      'St001626',
      'St001627',
      'St001628',
      'St001629',
      'St001630',
      'St001631',
      'St001632',
      'St001633',
      'St001634',
      'St001635',
      'St001636',
      'St001637',
      'St001638',
      'St001639',
      'St001640',
      'St001641',
      'St001642',
      'St001643',
      'St001644',
      'St001645',
      'St001646',
      'St001647',
      'St001648',
      'St001649',
      'St001650',
      'St001651',
      'St001652',
      'St001653',
      'St001654',
      'St001655',
      'St001656',
      'St001657',
      'St001658',
      'St001659',
      'St001660',
      'St001661',
      'St001662',
      'St001663',
      'St001664',
      'St001665',
      'St001666',
      'St001667',
      'St001668',
      'St001669',
      'St001670',
      'St001671',
      'St001672',
      'St001673',
      'St001674',
      'St001675',
      'St001676',
      'St001677',
      'St001678',
      'St001679',
      'St001680',
      'St001681',
      'St001682',
      'St001683',
      'St001684',
      'St001685',
      'St001686',
      'St001687',
      'St001688',
      'St001689',
      'St001690',
      'St001691',
      'St001692',
      'St001693',
      'St001694',
      'St001695',
      'St001696',
      'St001697',
      'St001698',
      'St001699',
      'St001700',
      'St001701',
      'St001702',
      'St001703',
      'St001704',
      'St001705',
      'St001706',
      'St001707',
      'St001708',
      'St001709',
      'St001710',
      'St001711',
      'St001712',
      'St001713',
      'St001714',
      'St001715',
      'St001716',
      'St001717',
      'St001718',
      'St001719',
      'St001720',
      'St001721',
      'St001722',
      'St001723',
      'St001724',
      'St001725',
      'St001726',
      'St001727',
      'St001728',
      'St001729',
      'St001730',
      'St001731',
      'St001732',
      'St001733',
      'St001734',
      'St001735',
      'St001736',
      'St001737',
      'St001738',
      'St001739',
      'St001740',
      'St001741',
      'St001742',
      'St001743',
      'St001744',
      'St001745',
      'St001746',
      'St001747',
      'St001748',
      'St001749',
      'St001750',
      'St001751',
      'St001752',
      'St001753',
      'St001754',
      'St001755',
      'St001756',
      'St001757',
      'St001758',
      'St001759',
      'St001760',
      'St001761',
      'St001762',
      'St001763',
      'St001764',
      'St001765',
      'St001766',
      'St001767',
      'St001768',
      'St001769',
      'St001770',
      'St001771',
      'St001772',
      'St001773',
      'St001774',
      'St001775',
      'St001776',
      'St001777',
      'St001778',
      'St001779',
      'St001780',
      'St001781',
      'St001782',
      'St001783',
      'St001784',
      'St001785',
      'St001786',
      'St001787',
      'St001788',
      'St001789',
      'St001790',
      'St001791',
      'St001792',
      'St001793',
      'St001794',
      'St001795',
      'St001796',
      'St001797',
      'St001798',
      'St001799',
      'St001800',
      'St001801',
      'St001802',
      'St001803',
      'St001804',
      'St001805',
      'St001806',
      'St001807',
      'St001808',
      'St001809',
      'St001810',
      'St001811',
      'St001812',
      'St001813',
      'St001814',
      'St001815',
      'St001816',
      'St001817',
      'St001818',
      'St001819',
      'St001820',
      'St001821',
      'St001822',
      'St001823',
      'St001824',
      'St001825',
      'St001826',
      'St001827',
      'St001828',
      'St001829',
      'St001830',
      'St001831',
      'St001832',
      'St001833',
      'St001834',
      'St001835',
      'St001836',
      'St001837',
      'St001838',
      'St001839',
      'St001840',
      'St001841',
      'St001842',
      'St001843'],
     'included': {'Statistics': {}}}
**********************************************************************
File "src/sage/databases/findstat.py", line 593, in sage.databases.findstat.?
Failed example:
    _data_from_iterable(l)                                            # optional -- internet
Expected:
    (lazy list [([[]], [0]), ([[(1, 2)]], [0]), ([[(1, 2), (3, 4)], [(1, 3), (2, 4)], [(1, 4), (2, 3)]], [0, 0, 1]), ...],
     a subset of Cc0012: Perfect matchings)
Got:
    (lazy list [([[]], [0]), ([[(1, 2)]], [0]), ([[(1, 2), (3, 4)], [(1, 3), (2, 4)], [(1, 4), (2, 3)]], [0, 0, 1]), ...],
     a subset of Cc0009: Set partitions)
**********************************************************************
File "src/sage/databases/findstat.py", line 968, in sage.databases.findstat.?
Failed example:
    findstat([(m, m.number_of_nestings()) for m in l], depth=0)       # optional -- internet
Expected:
    0: St000041 (quality [100, 100])
Got:
    0: St000233 (quality [100, 100])
    1: St000496 (quality [100, 100])
**********************************************************************
File "src/sage/databases/findstat.py", line 973, in sage.databases.findstat.?
Failed example:
    findstat({m: m.number_of_nestings() for m in l}, depth=0)         # optional -- internet
Expected:
    0: St000041 (quality [100, 100])
Got:
    0: St000233 (quality [100, 100])
    1: St000496 (quality [100, 100])
**********************************************************************
File "src/sage/databases/findstat.py", line 984, in sage.databases.findstat.?
Failed example:
    findstat("Perfect Matchings", lambda m: m.number_of_nestings(), depth=0)    # optional -- internet
Expected:
    0: St000041 (quality [20, 100])
Got:
    0: St000041 (quality [14, 100])
**********************************************************************
File "src/sage/databases/findstat.py", line 989, in sage.databases.findstat.?
Failed example:
    PM = PerfectMatchings(10); findstat((PM, [m.number_of_nestings() for m in PM]), depth=0) # optional -- internet
Expected:
    0: St000042 (quality [100, 100])
    1: St000041 (quality [9, 100])
Got:
    0: St000232 (quality [4, 9])
    1: St000233 (quality [4, 100])
    2: St000496 (quality [4, 100])
    3: St000793 (quality [4, 18])
    4: St000971 (quality [4, 45])
    5: St001050 (quality [4, 45])
    6: St001051 (quality [4, 45])
    7: St001153 (quality [4, 45])
    8: St001693 (quality [4, 45])
**********************************************************************
File "src/sage/databases/findstat.py", line 995, in sage.databases.findstat.?
Failed example:
    findstat(12, distribution=lambda m: m.number_of_nestings(), depth=0) # optional -- internet
Expected:
    0: St000041 (quality [100, 100])
    1: St000042 (quality [100, 100])
Got:
    0: St000042 (quality [100, 100])
    1: St000041 (quality [11, 100])
**********************************************************************
File "src/sage/databases/findstat.py", line 1040, in sage.databases.findstat.?
Failed example:
    findstat([(m, m.number_of_nestings()/1) for m in PerfectMatchings(10)], depth=0) # optional -- internet
Expected:
    0: St000041 (quality [9, 100])
Got:
    0: St000233 (quality [4, 100])
    1: St000496 (quality [4, 100])
**********************************************************************
File "src/sage/databases/findstat.py", line 2654, in sage.databases.findstat.FindStatStatisticQuery.first_terms
Failed example:
    r = findstat(l, depth=0); r                                  # optional -- internet
Expected:
    0: St000041 (quality [99, 100])
    1: St000042 (quality [99, 100])
Got:
    0: St000232 (quality [99, 100])
    1: St000233 (quality [99, 100])
    2: St000496 (quality [99, 100])
    3: St000559 (quality [15, 57])
    4: St000563 (quality [15, 57])
    5: St001781 (quality [15, 57])
**********************************************************************
File "src/sage/databases/findstat.py", line 2672, in sage.databases.findstat.FindStatStatisticQuery._first_terms_raw
Failed example:
    r = findstat(l, depth=0); r                                  # optional -- internet
Expected:
    0: St000041 (quality [99, 100])
    1: St000042 (quality [99, 100])
Got:
    0: St000232 (quality [99, 100])
    1: St000233 (quality [99, 100])
    2: St000496 (quality [99, 100])
    3: St000559 (quality [15, 57])
    4: St000563 (quality [15, 57])
    5: St001781 (quality [15, 57])
**********************************************************************
File "src/sage/databases/findstat.py", line 2713, in sage.databases.findstat.FindStatStatisticQuery.__repr__
Failed example:
    findstat(data, depth=1)                                       # optional -- internet
Expected:
    0: St000042oMp00116 (quality [100, 100])
    1: St000041 (quality [20, 100])
    ...
Got:
    0: St000233 (quality [16, 100])
    1: St000496 (quality [16, 100])
    2: St000233oMp00112 (quality [16, 100])
    3: St000496oMp00112 (quality [16, 100])
    4: St000232oMp00115 (quality [12, 70])
    5: St000233oMp00249 (quality [12, 70])
    6: St000496oMp00249 (quality [12, 70])
**********************************************************************
File "src/sage/databases/findstat.py", line 2731, in sage.databases.findstat.FindStatStatisticQuery.__getitem__
Failed example:
    r[1]                                                          # optional -- internet
Expected:
    St000041 (quality [20, 100])
Got:
    St000496 (quality [16, 100])
**********************************************************************
File "src/sage/databases/findstat.py", line 4234, in sage.databases.findstat.?.levels_with_sizes
Failed example:
    cc.levels_with_sizes()                                        # optional -- internet
Expected:
    OrderedDict([(2, 1), (4, 3), (6, 15), (8, 105), (10, 945)])
Got:
    OrderedDict([(10, 945), (2, 1), (4, 3), (6, 15), (8, 105)])
**********************************************************************
File "src/sage/databases/findstat.py", line 4315, in sage.databases.findstat.?.first_terms
Failed example:
    c.first_terms(lambda x: 1)[:10].list()                        # optional -- internet
Expected:
    [([[1, 0], [0]], 1),
     ([[1, 0], [1]], 1),
     ([[2, 0], [0]], 1),
     ([[2, 0], [1]], 1),
     ([[2, 0], [2]], 1),
     ([[1, 1], [1]], 1),
     ([[1, 0, 0], [0, 0], [0]], 1),
     ([[1, 0, 0], [1, 0], [0]], 1),
     ([[1, 0, 0], [1, 0], [1]], 1),
     ([[3, 0], [0]], 1)]
Got:
    [([[1, 0], [0]], 1),
     ([[1, 0], [1]], 1),
     ([[2, 0], [0]], 1),
     ([[2, 0], [1]], 1),
     ([[2, 0], [2]], 1),
     ([[1, 1], [1]], 1),
     ([[3, 0], [0]], 1),
     ([[3, 0], [1]], 1),
     ([[3, 0], [2]], 1),
     ([[3, 0], [3]], 1)]
**********************************************************************
File "src/sage/databases/findstat.py", line 4725, in sage.databases.findstat.FindStatCollections._element_constructor_
Failed example:
    sorted([FindStatCollection(c.first_terms(lambda x: 0)[0][0]) for c in FindStatCollections() if c.is_supported()]) # optional -- internet
Expected:
    [Cc0001: Permutations,
     Cc0002: Integer partitions,
     Cc0005: Dyck paths,
     Cc0006: Integer compositions,
     Cc0007: Standard tableaux,
     Cc0009: Set partitions,
     Cc0010: Binary trees,
     Cc0012: Perfect matchings,
     Cc0013: Cores,
     Cc0014: Posets,
     Cc0014: Posets,
     Cc0017: Alternating sign matrices,
     Cc0018: Gelfand-Tsetlin patterns,
     Cc0019: Semistandard tableaux,
     Cc0020: Graphs,
     Cc0021: Ordered trees,
     Cc0022: Finite Cartan types,
     Cc0023: Parking functions,
     Cc0024: Binary words,
     Cc0025: Plane partitions,
     Cc0026: Decorated permutations,
     Cc0027: Signed permutations,
     Cc0028: Skew partitions]
Got:
    [Cc0001: Permutations,
     Cc0002: Integer partitions,
     Cc0005: Dyck paths,
     Cc0006: Integer compositions,
     Cc0007: Standard tableaux,
     Cc0009: Set partitions,
     Cc0009: Set partitions,
     Cc0010: Binary trees,
     Cc0013: Cores,
     Cc0014: Posets,
     Cc0014: Posets,
     Cc0017: Alternating sign matrices,
     Cc0018: Gelfand-Tsetlin patterns,
     Cc0019: Semistandard tableaux,
     Cc0020: Graphs,
     Cc0021: Ordered trees,
     Cc0022: Finite Cartan types,
     Cc0023: Parking functions,
     Cc0024: Binary words,
     Cc0025: Plane partitions,
     Cc0026: Decorated permutations,
     Cc0027: Signed permutations,
     Cc0028: Skew partitions]
**********************************************************************
File "src/sage/databases/findstat.py", line 4756, in sage.databases.findstat.FindStatCollections._element_constructor_
Failed example:
    FindStatCollection(PerfectMatching([[1,2]]))                  # optional -- internet
Expected:
    Cc0012: Perfect matchings
Got:
    Cc0009: Set partitions
**********************************************************************
File "src/sage/databases/findstat.py", line 4759, in sage.databases.findstat.FindStatCollections._element_constructor_
Failed example:
    FindStatCollection(PerfectMatchings(4))                       # optional -- internet
Expected:
    a subset of Cc0012: Perfect matchings
Got:
    a subset of Cc0009: Set partitions
**********************************************************************
11 items had failures:
   6 of  18 in sage.databases.findstat
   7 of  42 in sage.databases.findstat.?
   1 of   4 in sage.databases.findstat.?.first_terms
   1 of   4 in sage.databases.findstat.?.levels_with_sizes
   3 of  12 in sage.databases.findstat.FindStatCollections._element_constructor_
   1 of   5 in sage.databases.findstat.FindStatStatisticQuery.__getitem__
   1 of   4 in sage.databases.findstat.FindStatStatisticQuery.__repr__
   1 of   5 in sage.databases.findstat.FindStatStatisticQuery._first_terms_raw
   1 of   5 in sage.databases.findstat.FindStatStatisticQuery.first_terms
   1 of   3 in sage.databases.findstat._get_json
   1 of   3 in sage.databases.findstat._post_json
    [423 tests, 24 failures, 47.62 s]

CC: @tscrim

Component: combinatorics

Keywords: FindStat

Author: Martin Rubey

Branch/Commit: 83aa1b2

Reviewer: Nadia Lafrenière

Issue created by migration from https://trac.sagemath.org/ticket/34734

[mantepse]

comment:1

Failed example:
    r = findstat([(m, m.number_of_nestings()) for n in range(6) for m in PM(2*n)], depth=1); r # optional -- internet
Expected:
    0: St000042oMp00116 (quality [100, 100])
    1: St000041 (quality [20, 100])
    ...
Got:
    0: St000233 (quality [16, 100])
    ...

comes from a difference in sorting collections. Every perfect matching is also a set partition, and the interface's automatic detection recognizes m as a set partition. I suspect that before the change, the collection "Perfect Matchings" came before "Set Partitions" in the list of collections.

In summary, we need a more robust detection here. The code for deducing the collection from an object is as follows:

                                 lambda x: isinstance(x, SetPartition)

for set partitions (line 4607), and

                                 lambda x: isinstance(x, PerfectMatching)

for perfect matchings (line 4581), and the detection is done in FindStatCollections._element_constructor_(self, entry) (line 4712), where it is checked whether entry passes one of the tests - and the first test it passes is the chosen collection.

[mantepse]

comment:2

One way to fix it is to sort the collections appropriately.

Another idea was to make the test stricter, as currently for Standard Tableaux and Semistandard Tableaux, where we do

lambda x: isinstance(x, SemistandardTableau) and not isinstance(x, StandardTableau))

but this is not so good, because we then have:

sage: findstat("Semistandardtableaux", [(T, len(T)) for n in range(1,5) for T in StandardTableaux(n)])
---------------------------------------------------------------------------
AssertionError                            Traceback (most recent call last)

AssertionError: [(1,)] are not elements of Cc0019: Semistandard tableaux

Essentially, we want to first try, whether there is an exact match, and only if there isn't we want to try something similar to coercion.

[mantepse]

Branch: u/mantepse/adapt_findstat_interface_to_new_version_of_findstat_org

[7ed8c4ca-6d56-4ae9-953a-41e42b4ed313]

Branch pushed to git repo; I updated commit sha1. New commits:

1208b95

adapt doctests to new website

[7ed8c4ca-6d56-4ae9-953a-41e42b4ed313]

Commit: 1208b95

[mantepse]

comment:6

I decided to simply sort the collections. A more automatic approach would require to make the corresponding sage class another field in the dict, but I do not want to preclude collections which do not have such a class.

[7ed8c4ca-6d56-4ae9-953a-41e42b4ed313]

Branch pushed to git repo; I updated commit sha1. New commits:

14b8589

remove OrderedDict

[7ed8c4ca-6d56-4ae9-953a-41e42b4ed313]

Changed commit from 1208b95 to 14b8589

[mantepse]

comment:8

OrderedDict is redundant, since we do not compare dictionaries

[7ed8c4ca-6d56-4ae9-953a-41e42b4ed313]

Branch pushed to git repo; I updated commit sha1. New commits:

54d036f

add forgotten # optional -- internet

[7ed8c4ca-6d56-4ae9-953a-41e42b4ed313]

Changed commit from 14b8589 to 54d036f

[7ed8c4ca-6d56-4ae9-953a-41e42b4ed313]

Branch pushed to git repo; I updated commit sha1. New commits:

83aa1b2

adapt an error message

[7ed8c4ca-6d56-4ae9-953a-41e42b4ed313]

Changed commit from 54d036f to 83aa1b2

[nadialafreniere]

comment:12

Hi Martin, Thanks for these edits. The doctests pass, and the code seems to be working just as expected.

There is one issue that I'd like to raise. It may or may not be related. I executed the command print(list(FindStatMaps())), and it took 3 min 7 s. It seems to be something with the way that the information is stored, because I don't get the issue without the print, and because I can still access the individual maps in the list.

I don't know if this is something you want to fix here, and I'm not sure that this is a new issue (but I cannot check because FindStat.org has changed). Otherwise, everything looks good to me.

[mantepse]

comment:13

The reason is that list(FindStatMaps()) only fetches the list of id's, whereas print(list(FindStatMaps())) fetches all information about all maps.

Maybe this could be improved, but certainly not in this ticket.

It is actually possible that you just had bad luck, it takes just a minute now on my computer. Could you try again?

[mantepse]

comment:14

I checked, all of the time is spent in _fetch_data, which doesn't do anything but fetching the data from the webpage. It's not a big amount of data, but it seems that findstat cannot serve it faster.

[nadialafreniere]

Reviewer: Nadia Lafrenière

[nadialafreniere]

comment:15

That's what I thought. Thanks for looking into this. The code provided for the ticket's purpose works well.

[vbraun]

Changed branch from u/mantepse/adapt_findstat_interface_to_new_version_of_findstat_org to 83aa1b2