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Database hgm
Description Hypergeometric motives
Status beta
Contact John Jones
Code motives
Collections families, motives

Todo:

  • expand the range of the data

Collection families

  • _id (ObjectId): object id created by mongo

**Example**: ObjectId('5230a4330e74fe21b086363f')

* **A** (list of ints):

**Example**: [2]

* **B** (list of ints):

**Example**: [1]

* **degree** (int):

**Example**: 1

* **gal2** (string):

**Example**: O(1,2)

* **gal3** (string):

**Example**: 2

* **gal5** (string):

**Example**: 2

* **gal7** (string):

**Example**: 2

* **hodge** (list of ints):

**Example**: [1]

* **label** (string):

**Example**: A2_B1

* **weight** (int):

**Example**: 0

Indexes families

  • {'A': 1}:
  • {'B': 1}:
  • {'degree': 1}:
  • {'hodge': 1}:
  • {'label': 1}:
  • {'weight': 1}:

Collection motives

  • _id (): object id created by mongo

**Example**: ObjectID('540f1835214ebc5af7a7f76c')

* **A** (list of ints):

**Example**: [4, 4, 4]

* **B** (list of ints):

**Example**: [1, 2, 6, 6]

* **a2** (list of ints):

**Example**: [2, 2, 2, 2, 2, 2]

* **a3** (list of ints):

**Example**: [1, 1, 1, 1, 1, 1]

* **a5** (list of ints):

**Example**: [1, 1, 1, 1, 1, 1]

* **a7** (list of ints):

**Example**: [1, 1, 1, 1, 1, 1]

* **ae2** (list of ints):

**Example**: [1, 1, 1, 1, 1, 1]

* **ae3** (list of ints):

**Example**: [2, 2, 2, 2, 2, 2]

* **ae5** (list of ints):

**Example**: [2, 2, 2, 2, 2, 2]

* **ae7** (list of ints):

**Example**: [2, 2, 2, 2, 2, 2]

* **b2** (list of ints):

**Example**: [1, 2, 2, 2, 2, 2]

* **b3** (list of ints):

**Example**: [1, 1, 3, 3]

* **b5** (list of ints):

**Example**: [1, 1, 1, 1, 1, 1]

* **b7** (list of ints):

**Example**: [1, 1, 1, 1, 1, 1]

* **be2** (list of ints):

**Example**: [1, 1, 3, 3]

* **be3** (list of ints):

**Example**: [1, 2, 2, 2, 2, 2]

* **be5** (list of ints):

**Example**: [1, 2, 6, 6]

* **be7** (list of ints):

**Example**: [1, 2, 6, 6]

* **centralval** (string):

**Example**: noncrit

* **coeffs** (list of ints):

**Example**: [1, 0, 18, 0, -14, 0, -60, 0, 243, 0, 16, 0, 203, 0, -252, 0, -111, 0, 75, 0, -1080, 0, 113, 0, -109, 0, 2916, 0, 967, 0, -76, 0, 288, 0, 840, 0, 1291, 0, 3654, 0, -1967, 0, -3173, 0, -3402, 0, -3855, 0, 2361, 0, -1998, 0, 2434, 0, -224, 0, 1350, 0, -5893, 0, 4859, 0, -14580, 0, -2842, 0, 5275, 0, 2034, 0, 2657, 0, -3230, 0, -1962, 0, -960, 0, -975, 0, 32805, 0, 8160, 0, 1554, 0, 17406, 0, -9455, 0, -12180, 0, -1368, 0, -1050, 0, -382, 0, 3888, 0]

* **cond** (int):

**Example**: 165888

* **degree** (int):

**Example**: 6

* **hodge** (list of ints):

**Example**: [1, 1, 2, 1, 1]

* **label** (string):

**Example**: A4.4.4_B1.2.6.6_t1.1

* **locinfo** ():

**Example**: [[11, ['1'], 1, 1, 1, 1], [4, ['1', '-18', '81'], 1, 1, 2, 3], [0, ['1', '14', '305', '7625', '218750', '9765625'], 3, 10, 1, 24], [0, ['1', '60', '1239', '-60711', '-7058940', '-282475249'], 3, 5, 6, 6], [0, ['1', '-16', '-9889', '-1196569', '-28344976', '25937424601'], 3, 10, 6, 24], [0, ['1', '-203', '6578', '1111682', '-979842227', '137858491849'], 1, 4, 26, 48], [0, ['1', '111', '27166', '-7850974', '-2679270159', '-2015993900449'], 1, 4, 6, 24], [0, ['1', '-75', '18354', '6625794', '-3528441075', '6131066257801'], 1, 10, 6, 6], [0, ['1', '-113', '-256818', '135856722', '16728055457', '-41426511213649'], 1, 4, 2, 75], [0, ['1', '-967', '113390', '95360990', '-575194151407', '420707233300201'], 1, 10, 6, 24]]

* **req** (int):

**Example**: 2350

* **sig** (int):

**Example**: -1

* **sign** (int):

**Example**: 1

* **t** (rational stored as list of 2 ints):

**Example**: [1, 1]

* **weight** (int):

**Example**: 4

Indexes motives

  • {'A': 1}:
  • {'B': 1}:
  • {'a2': 1}:
  • {'a3': 1}:
  • {'a5': 1}:
  • {'a7': 1}:
  • {'b2': 1}:
  • {'b3': 1}:
  • {'b5': 1}:
  • {'b7': 1}:
  • {'cond': 1, 'label': 1}:
  • {'degree': 1}:
  • {'hodge': 1}:
  • {'label': 1}:
  • {'sign': 1}:
  • {'t': 1}:
  • {'weight': 1}: