Trac #34734: Adapt findstat interface to new version of findstat.org

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',
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      'St001344',
      'St001345',
      'St001346',
      'St001347',
      'St001348',
      'St001349',
      'St001350',
      'St001351',
      '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',
      'St001430',
      'St001431',
      'St001432',
      'St001433',
      'St001434',
      'St001435',
      'St001436',
      'St001437',
      'St001438',
      'St001439',
      '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]
}}}

URL: https://trac.sagemath.org/34734
Reported by: mantepse
Ticket author(s): Martin Rubey
Reviewer(s): Nadia Lafrenière

Author: Release Manager

src/sage/databases/findstat.py

@@ -118,13 +118,14 @@
 advertise yet another way to pass values to FindStat::
 
     sage: r = findstat(Permutations, lambda pi: pi.saliances()[0], depth=2); r  # optional -- internet
-    0: St000740oMp00087 with offset 1 (quality [100, 100])
+    0: St000740oMp00066 with offset 1 (quality [100, 100])
+    1: St000740oMp00087 with offset 1 (quality [100, 100])
     ...
 
 Note that some of the matches are up to a global offset.  For
 example, we have::
 
-    sage: r[0].info()                                                           # optional -- internet
+    sage: r[1].info()                                                           # optional -- internet
     after adding 1 to every value
     and applying
         Mp00087: inverse first fundamental transformation: Permutations -> Permutations
@@ -221,7 +222,6 @@ def mapping(sigma):
 from sage.databases.oeis import FancyTuple
 
 from ast import literal_eval
-from collections import OrderedDict
 from copy import deepcopy
 import re
 import webbrowser
@@ -256,7 +256,7 @@ def mapping(sigma):
 from sage.combinat.words.word import Word
 from sage.combinat.words.words import Words
 from sage.combinat.words.abstract_word import Word_class
-from sage.combinat.colored_permutations import SignedPermutations
+from sage.combinat.colored_permutations import SignedPermutation, SignedPermutations
 from sage.combinat.plane_partition import PlanePartition
 from sage.combinat.decorated_permutation import DecoratedPermutation, DecoratedPermutations
 
@@ -431,10 +431,10 @@ def _get_json(url, **kwargs):
     EXAMPLES::
 
         sage: from sage.databases.findstat import _get_json, FINDSTAT_API_MAPS
-        sage: _get_json(FINDSTAT_API_MAPS + "?xxx=yyy")                         # optional -- internet
+        sage: _get_json(FINDSTAT_API_MAPS + "?fields=yyy")                      # optional -- internet
         Traceback (most recent call last):
         ...
-        ValueError: E005: On filtering maps, the following parameters are not allowed: [u'xxx'].
+        ValueError: E018: Unknown fields in Map, Combinatorial map: to semistandard tableau via monotone triangles: ['yyy']
     """
     response = requests.get(url)
     if response.ok:
@@ -454,10 +454,10 @@ def _post_json(url, data, **kwargs):
     EXAMPLES::
 
         sage: from sage.databases.findstat import _post_json, FINDSTAT_API_STATISTICS
-        sage: _post_json(FINDSTAT_API_STATISTICS, {"xxx": "yyy"})               # optional -- internet
+        sage: _post_json(FINDSTAT_API_STATISTICS, {"fields": "yyy"})            # optional -- internet
         Traceback (most recent call last):
         ...
-        ValueError: E005: On filtering statistics, the following parameters are not allowed: ['xxx'].
+        ValueError: E018: Unknown fields in Statistic, Combinatorial statistic: St000001: ['yyy']
     """
     response = requests.post(url, data=data)
     if response.ok:
@@ -1007,7 +1007,9 @@ def findstat(query=None, values=None, distribution=None, domain=None,
         sage: findstat((PM, [1 for m in PM]))                                   # optional -- internet
         Traceback (most recent call last):
         ...
-        ValueError: E016: You passed too few elements (0 < 3) to FindStat!
+        ValueError: E016: The statistic finder was unable to perform a search on your data. The following errors have occured:
+        <BLANKLINE>
+        You passed too few elements (0 < 3) to FindStat!
 
     Finally, we can also retrieve all statistics with a given domain::
 
@@ -1852,7 +1854,7 @@ def first_terms(self):
         if self._first_terms_cache is None:
             self._first_terms_cache = self._fetch_first_terms()
         # a shallow copy suffices - tuples are immutable
-        return OrderedDict(self._first_terms_cache)
+        return dict(self._first_terms_cache)
 
     def _first_terms_raw(self, max_values):
         """
@@ -2655,11 +2657,11 @@ def first_terms(self, max_values=FINDSTAT_MAX_SUBMISSION_VALUES):
              0: St000041 (quality [99, 100])
              1: St000042 (quality [99, 100])
              sage: r.first_terms()                                              # optional -- internet
-             OrderedDict([([], 0), ([(1, 2)], 0)])
+             {[]: 0, [(1, 2)]: 0}
         """
-        return OrderedDict(itertools.islice(((objs[0], vals[0])
-                                             for objs, vals in self._known_terms
-                                             if len(vals) == 1), max_values))
+        return dict(itertools.islice(((objs[0], vals[0])
+                                      for objs, vals in self._known_terms
+                                      if len(vals) == 1), max_values))
 
     def _first_terms_raw(self, max_values):
         """
@@ -2693,7 +2695,7 @@ def _generating_functions_dict(self,
             sage: q = findstat(data, depth=0); q                                # optional -- internet
             0: St000054 (quality [100, 100])
             sage: q.first_terms()                                               # optional -- internet
-            OrderedDict([([1, 2], 1)])
+            {[1, 2]: 1}
             sage: q.generating_functions()                                      # optional -- internet, indirect doctest
             {3: 2*q^3 + 2*q^2 + 2*q}
         """
@@ -4232,7 +4234,7 @@ def levels_with_sizes(self):
             sage: from sage.databases.findstat import FindStatCollection
             sage: cc = FindStatCollection("Perfect Matchings")                  # optional -- internet
             sage: cc.levels_with_sizes()                                        # optional -- internet
-            OrderedDict([(2, 1), (4, 3), (6, 15), (8, 105), (10, 945)])
+            {2: 1, 4: 3, 6: 15, 8: 105, 10: 945}
         """
         return self._data["LevelsWithSizes"]
 
@@ -4486,8 +4488,10 @@ def name(self, style="singular"):
                                            "element_to_string",
                                            "elements_on_level", # return all elements on given level
                                            "element_level",     # return level of a given element
-                                           "is_element"]) # return whether element is member of this collection (and, ideally, of no other collection)
+                                           "is_element"])       # return whether element is member of this collection
 
+# this dictionary must be sorted so that subclasses come before
+# superclasses, eg., "StandardTableaux" before "SemistandardTableaux"
 _SupportedFindStatCollections = {
     "Permutations":
     _SupportedFindStatCollection(lambda x: Permutation(literal_eval(x)),
@@ -4501,7 +4505,6 @@ def name(self, style="singular"):
                                  lambda x: Words([0,1], length=x),
                                  lambda x: x.length(),
                                  lambda x: isinstance(x, Word_class)),
-
     "AlternatingSignMatrices":
     _SupportedFindStatCollection(lambda x: AlternatingSignMatrix(literal_eval(x)),
                                  lambda x: str(list(map(list, x.to_matrix().rows()))),
@@ -4549,18 +4552,18 @@ def name(self, style="singular"):
                                  lambda x: (g.copy(immutable=True) for g in graphs(x, copy=False)),
                                  lambda x: x.num_verts(),
                                  lambda x: isinstance(x, Graph)),
-    "IntegerCompositions":
-    _SupportedFindStatCollection(lambda x: Composition(literal_eval(x)),
-                                 str,
-                                 Compositions,
-                                 lambda x: x.size(),
-                                 lambda x: isinstance(x, Composition)),
     "IntegerPartitions":
     _SupportedFindStatCollection(lambda x: Partition(literal_eval(x)),
                                  str,
                                  Partitions,
                                  lambda x: x.size(),
                                  lambda x: isinstance(x, Partition)),
+    "IntegerCompositions":
+    _SupportedFindStatCollection(lambda x: Composition(literal_eval(x)),
+                                 str,
+                                 Compositions,
+                                 lambda x: x.size(),
+                                 lambda x: isinstance(x, Composition)),
     "OrderedTrees":
     _SupportedFindStatCollection(lambda x: OrderedTree(literal_eval(x)),
                                  str,
@@ -4573,12 +4576,13 @@ def name(self, style="singular"):
                                  ParkingFunctions,
                                  len,
                                  lambda x: isinstance(x, ParkingFunction)),
-    "PerfectMatchings":
-    _SupportedFindStatCollection(lambda x: PerfectMatching(literal_eval(x)),
-                                 str,
-                                 PerfectMatchings,
-                                 lambda x: x.size(),
-                                 lambda x: isinstance(x, PerfectMatching)),
+    "Lattices":
+    _SupportedFindStatCollection(lambda x: (lambda R, E: LatticePoset((list(range(E)), R)))(*literal_eval(x)),
+                                 lambda X: str((sorted(X._hasse_diagram.cover_relations()),
+                                                len(X._hasse_diagram.vertices(sort=False)))),
+                                 _finite_lattices,
+                                 lambda x: x.cardinality(),
+                                 lambda x: isinstance(x, FiniteLatticePoset)),
     "Posets":
     _SupportedFindStatCollection(lambda x: (lambda R, E: Poset((list(range(E)), R)))(*literal_eval(x)),
                                  lambda X: str((sorted(X._hasse_diagram.cover_relations()),
@@ -4592,13 +4596,19 @@ def name(self, style="singular"):
                                  StandardTableaux,
                                  lambda x: x.size(),
                                  lambda x: isinstance(x, StandardTableau)),
-    "SemistandardTableaux": # apparently, isinstance(x, SemistandardTableau) is True for StandardTableaux x
+    "SemistandardTableaux":
     _SupportedFindStatCollection(lambda x: SemistandardTableau(literal_eval(x)),
                                  str,
                                  lambda x: (T for T in SemistandardTableaux(size=x[0], max_entry=x[1])
                                             if max(T.entries()) == x[1]),
                                  lambda x: (x.size(), max(x.entries())),
-                                 lambda x: isinstance(x, SemistandardTableau) and not isinstance(x, StandardTableau)),
+                                 lambda x: isinstance(x, SemistandardTableau)),
+    "PerfectMatchings":
+    _SupportedFindStatCollection(lambda x: PerfectMatching(literal_eval(x)),
+                                 str,
+                                 PerfectMatchings,
+                                 lambda x: x.size(),
+                                 lambda x: isinstance(x, PerfectMatching)),
     "SetPartitions":
     _SupportedFindStatCollection(lambda x: SetPartition(literal_eval(x.replace('{','[').replace('}',']'))),
                                  str,
@@ -4616,7 +4626,7 @@ def name(self, style="singular"):
                                  str,
                                  SignedPermutations,
                                  lambda x: len(list(x)),
-                                 lambda x: isinstance(x, SignedPermutations.Element)),
+                                 lambda x: isinstance(x, SignedPermutation)),
     "PlanePartitions":
     _SupportedFindStatCollection(lambda x: PlanePartition(literal_eval(x)),
                                  lambda X: str(list(X)).replace(" ",""),
@@ -4630,14 +4640,7 @@ def name(self, style="singular"):
                                                            for i, v in enumerate(x, 1))) + "]",
                                  DecoratedPermutations,
                                  lambda x: x.size(),
-                                 lambda x: isinstance(x, DecoratedPermutation)),
-    "Lattices":
-    _SupportedFindStatCollection(lambda x: (lambda R, E: LatticePoset((list(range(E)), R)))(*literal_eval(x)),
-                                 lambda X: str((sorted(X._hasse_diagram.cover_relations()),
-                                                len(X._hasse_diagram.vertices(sort=False)))),
-                                 _finite_lattices,
-                                 lambda x: x.cardinality(),
-                                 lambda x: isinstance(x, FiniteLatticePoset))}
+                                 lambda x: isinstance(x, DecoratedPermutation))}
 
 
 class FindStatCollections(UniqueRepresentation, Parent):
@@ -4689,11 +4692,10 @@ def __init__(self):
         """
         fields = "LevelsWithSizes,Name,NamePlural,NameWiki"
         url = FINDSTAT_API_COLLECTIONS + "?fields=" + fields
-        d = _get_json(url, object_pairs_hook=OrderedDict)
-        self._findstat_collections = d["included"]["Collections"]
-        for id, data in self._findstat_collections.items():
-            data["LevelsWithSizes"] = OrderedDict((literal_eval(level), size)
-                                                  for level, size in data["LevelsWithSizes"].items())
+        d = _get_json(url, object_pairs_hook=dict)["included"]["Collections"]
+        for id, data in d.items():
+            data["LevelsWithSizes"] = {literal_eval(level): size
+                                       for level, size in data["LevelsWithSizes"].items()}
             if data["NameWiki"] in _SupportedFindStatCollections:
                 data["Code"] = _SupportedFindStatCollections[data["NameWiki"]]
             else:
@@ -4706,7 +4708,13 @@ def __init__(self):
 #                fields = "SageCodeElementToString,SageCodeElementsOnLevel,SageCodeStringToElement"
 #                url = FINDSTAT_API_COLLECTIONS + id + "?fields=" + fields
 #                print(json.load(urlopen(url))["included"]["Collections"][id])
+        def position(item):
+            try:
+                return tuple(_SupportedFindStatCollections).index(item[1]["NameWiki"])
+            except ValueError:
+                return len(_SupportedFindStatCollections)
 
+        self._findstat_collections = dict(sorted(d.items(), key=position))
         Parent.__init__(self, category=Sets())
 
     def _element_constructor_(self, entry):
@@ -4733,7 +4741,6 @@ def _element_constructor_(self, entry):
              Cc0012: Perfect matchings,
              Cc0013: Cores,
              Cc0014: Posets,
-             Cc0014: Posets,
              Cc0017: Alternating sign matrices,
              Cc0018: Gelfand-Tsetlin patterns,
              Cc0019: Semistandard tableaux,
@@ -4745,7 +4752,8 @@ def _element_constructor_(self, entry):
              Cc0025: Plane partitions,
              Cc0026: Decorated permutations,
              Cc0027: Signed permutations,
-             Cc0028: Skew partitions]
+             Cc0028: Skew partitions,
+             Cc0029: Lattices]
 
             sage: FindStatCollection(Permutation([1,2,3]))                      # optional -- internet
             Cc0001: Permutations
@@ -4775,6 +4783,13 @@ def _element_constructor_(self, entry):
 
             sage: len(cc.first_terms(lambda x: x.edges(labels=False, sort=False)).list())   # optional -- internet
             4
+
+        Check that we can override the automatic detection::
+
+            sage: l = [(T, len(T)) for n in range(1,5) for T in StandardTableaux(n)]        # optional -- internet
+            sage: qu = findstat("Semistandardtableaux", l, depth=1)                         # optional -- internet
+            sage: qu[0]                                                                     # optional -- internet
+            St000010oMp00077 (quality [100, 100])
         """
         if isinstance(entry, self.Element):
             return entry