token literal names: null '\\acute' '\\bar' '\\overline' '\\breve' '\\check' '\\widecheck' '\\dot' '\\ddot' '\\grave' '\\hat' '\\tilde' '\\widetilde' '\\vec' '\\overrightarrow' '\\bm' '\\boldsymbol' '\\text' '\\textit' '\\mathbb' '\\mathbin' '\\mathbf' '\\mathcal' '\\mathclap' '\\mathclose' '\\mathellipsis' '\\mathfrak' '\\mathinner' '\\mathnormal' '\\mathop' '\\mathopen' '\\mathord' '\\mathpunct' '\\mathrel' '\\mathring' '\\mathrlap' '\\mathrm' '\\mathscr' '\\mathsf' '\\mathsterling' '\\mathtt' '^T' '^{T}' '^{\\top}' '\'' null '\\$' '+' '-' '*' null '(' ')' '\\lgroup' '\\rgroup' '{' '}' '\\{' '\\}' '\\lbrace' '\\rbrace' '[' ']' '\\lbrack' '\\rbrack' '|' '\\lvert' '\\rvert' '\\vert' '\\|' '\\lfloor' '\\rfloor' '\\llcorner' '\\lrcorner' '\\lceil' '\\rceil' '\\ulcorner' '\\urcorner' '\\left' '\\right' '\\mleft' '\\mright' '\\lim' null '\\int' '\\sum' '\\prod' '\\log' '\\ln' '\\exp' '\\sin' '\\cos' '\\tan' '\\csc' '\\sec' '\\cot' '\\arcsin' '\\arccos' '\\arctan' '\\arccsc' '\\arcsec' '\\arccot' '\\sinh' '\\cosh' '\\tanh' '\\arsinh' '\\arcosh' '\\artanh' '\\arcsinh' '\\arccosh' '\\arctanh' 'arsinh' 'arcsinh' 'arcosh' 'arccosh' 'artanh' 'arctanh' 'gcd' 'lcm' 'floor' 'ceil' '\\sqrt' '\\gcd' '\\lcm' '\\floor' '\\ceil' '\\max' '\\min' '\\det' 'eye' 'zeros' 'ones' 'cols' 'rows' 'diag' 'norm' 'rank' null 'rref' 'hstack' 'vstack' null 'nullspace' null null null null '\\times' '\\cdot' '\\div' '\\frac' null '\\choose' '\\mod' '\\mathit' '\\operatorname' 'matrix' 'pmatrix' 'bmatrix' 'vmatrix' null null null null null '&' '\\\\' '_' '^' ':' ';' ',' '.' null null 'E' null null null null null '\\in' '=' null '<' null '>' null null '!' null null null null null token symbolic names: null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null null WS DOLLAR_SIGN ADD SUB MUL DIV L_PAREN R_PAREN L_GROUP R_GROUP L_BRACE R_BRACE L_BRACE_VISUAL R_BRACE_VISUAL L_BRACE_CMD R_BRACE_CMD L_BRACKET R_BRACKET L_BRACK R_BRACK BAR L_VERT R_VERT VERT NORM L_FLOOR R_FLOOR LL_CORNER LR_CORNER L_CEIL R_CEIL UL_CORNER UR_CORNER L_LEFT R_RIGHT ML_LEFT MR_RIGHT FUNC_LIM LIM_APPROACH_SYM FUNC_INT FUNC_SUM FUNC_PROD FUNC_LOG FUNC_LN FUNC_EXP FUNC_SIN FUNC_COS FUNC_TAN FUNC_CSC FUNC_SEC FUNC_COT FUNC_ARCSIN FUNC_ARCCOS FUNC_ARCTAN FUNC_ARCCSC FUNC_ARCSEC FUNC_ARCCOT FUNC_SINH FUNC_COSH FUNC_TANH FUNC_ARSINH FUNC_ARCOSH FUNC_ARTANH FUNC_ARCSINH FUNC_ARCCOSH FUNC_ARCTANH FUNC_ARSINH_NAME FUNC_ARCSINH_NAME FUNC_ARCOSH_NAME FUNC_ARCCOSH_NAME FUNC_ARTANH_NAME FUNC_ARCTANH_NAME FUNC_GCD_NAME FUNC_LCM_NAME FUNC_FLOOR_NAME FUNC_CEIL_NAME FUNC_SQRT FUNC_GCD FUNC_LCM FUNC_FLOOR FUNC_CEIL FUNC_MAX FUNC_MIN FUNC_DET FUNC_EYE_NAME FUNC_ZEROS_NAME FUNC_ONES_NAME FUNC_COLS_NAME FUNC_ROWS_NAME FUNC_DIAG_NAME FUNC_NORM_NAME FUNC_RANK_NAME FUNC_TRACE_NAME FUNC_RREF_NAME FUNC_HSTACK_NAME FUNC_VSTACK_NAME FUNC_ORTHOGONALIZE_NAME FUNC_NULLSPACE_NAME FUNC_DIAGONALIZE_NAME FUNC_EIGENVALS_NAME FUNC_EIGENVECTORS_NAME FUNC_SVD_NAME CMD_TIMES CMD_CDOT CMD_DIV CMD_FRAC CMD_BINOM CMD_CHOOSE CMD_MOD CMD_MATHIT CMD_OPERATORNAME MATRIX_TYPE_MATRIX MATRIX_TYPE_PMATRIX MATRIX_TYPE_BMATRIX MATRIX_TYPE_DET MATRIX_TYPES CMD_MATRIX_START CMD_MATRIX_END CMD_DET_START CMD_DET_END MATRIX_DEL_COL MATRIX_DEL_ROW UNDERSCORE CARET COLON SEMICOLON COMMA PERIOD DIFFERENTIAL EXP_E E_NOTATION_E LETTER_NO_E MATRIX_XRIGHTARROW TRANSFORM_EXCHANGE NUMBER E_NOTATION IN ASSIGNMENT EQUAL LT LTE GT GTE UNEQUAL BANG PERCENT_NUMBER GREEK_CMD OTHER_SYMBOL_CMD SYMBOL VARIABLE rule names: accent_symbol math transpose transform_atom transform_scale transform_swap transform_assignment elementary_transform elementary_transforms matrix det matrix_row relation relation_list relation_list_content equality expr additive mp mp_nofunc unary unary_nofunc postfix postfix_nofunc postfix_op eval_at eval_at_sub eval_at_sup exp exp_nofunc comp comp_nofunc group norm_group abs_group floor_group ceil_group accent atom_expr_no_supexpr atom_expr atom mathit mathit_text frac binom func_normal_functions_single_arg func_normal_functions_multi_arg func_operator_names_single_arg func_operator_names_multi_arg func_normal_single_arg func_normal_multi_arg func args func_common_args limit_sub func_single_arg func_single_arg_noparens func_multi_arg func_multi_arg_noparens subexpr supexpr subeq supeq atn: [4, 1, 194, 1046, 2, 0, 7, 0, 2, 1, 7, 1, 2, 2, 7, 2, 2, 3, 7, 3, 2, 4, 7, 4, 2, 5, 7, 5, 2, 6, 7, 6, 2, 7, 7, 7, 2, 8, 7, 8, 2, 9, 7, 9, 2, 10, 7, 10, 2, 11, 7, 11, 2, 12, 7, 12, 2, 13, 7, 13, 2, 14, 7, 14, 2, 15, 7, 15, 2, 16, 7, 16, 2, 17, 7, 17, 2, 18, 7, 18, 2, 19, 7, 19, 2, 20, 7, 20, 2, 21, 7, 21, 2, 22, 7, 22, 2, 23, 7, 23, 2, 24, 7, 24, 2, 25, 7, 25, 2, 26, 7, 26, 2, 27, 7, 27, 2, 28, 7, 28, 2, 29, 7, 29, 2, 30, 7, 30, 2, 31, 7, 31, 2, 32, 7, 32, 2, 33, 7, 33, 2, 34, 7, 34, 2, 35, 7, 35, 2, 36, 7, 36, 2, 37, 7, 37, 2, 38, 7, 38, 2, 39, 7, 39, 2, 40, 7, 40, 2, 41, 7, 41, 2, 42, 7, 42, 2, 43, 7, 43, 2, 44, 7, 44, 2, 45, 7, 45, 2, 46, 7, 46, 2, 47, 7, 47, 2, 48, 7, 48, 2, 49, 7, 49, 2, 50, 7, 50, 2, 51, 7, 51, 2, 52, 7, 52, 2, 53, 7, 53, 2, 54, 7, 54, 2, 55, 7, 55, 2, 56, 7, 56, 2, 57, 7, 57, 2, 58, 7, 58, 2, 59, 7, 59, 2, 60, 7, 60, 2, 61, 7, 61, 2, 62, 7, 62, 1, 0, 1, 0, 1, 1, 1, 1, 3, 1, 131, 8, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 1, 3, 3, 3, 141, 8, 3, 1, 4, 1, 4, 1, 4, 1, 4, 3, 4, 147, 8, 4, 1, 4, 1, 4, 1, 5, 1, 5, 1, 5, 1, 5, 1, 6, 1, 6, 1, 6, 1, 7, 1, 7, 1, 7, 3, 7, 161, 8, 7, 1, 8, 1, 8, 1, 8, 5, 8, 166, 8, 8, 10, 8, 12, 8, 169, 9, 8, 1, 9, 1, 9, 1, 9, 1, 9, 5, 9, 175, 8, 9, 10, 9, 12, 9, 178, 9, 9, 1, 9, 3, 9, 181, 8, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 3, 9, 189, 8, 9, 1, 9, 1, 9, 1, 9, 1, 9, 3, 9, 195, 8, 9, 1, 10, 1, 10, 1, 10, 1, 10, 5, 10, 201, 8, 10, 10, 10, 12, 10, 204, 9, 10, 1, 10, 3, 10, 207, 8, 10, 1, 10, 1, 10, 1, 11, 1, 11, 1, 11, 5, 11, 214, 8, 11, 10, 11, 12, 11, 217, 9, 11, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 1, 12, 5, 12, 225, 8, 12, 10, 12, 12, 12, 228, 9, 12, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 1, 13, 3, 13, 267, 8, 13, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 5, 14, 274, 8, 14, 10, 14, 12, 14, 277, 9, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 5, 14, 284, 8, 14, 10, 14, 12, 14, 287, 9, 14, 3, 14, 289, 8, 14, 1, 15, 1, 15, 1, 15, 1, 15, 1, 16, 1, 16, 1, 17, 1, 17, 1, 17, 1, 17, 1, 17, 1, 17, 5, 17, 303, 8, 17, 10, 17, 12, 17, 306, 9, 17, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 1, 18, 5, 18, 314, 8, 18, 10, 18, 12, 18, 317, 9, 18, 1, 19, 1, 19, 1, 19, 1, 19, 1, 19, 1, 19, 5, 19, 325, 8, 19, 10, 19, 12, 19, 328, 9, 19, 1, 20, 1, 20, 1, 20, 4, 20, 333, 8, 20, 11, 20, 12, 20, 334, 3, 20, 337, 8, 20, 1, 21, 1, 21, 1, 21, 1, 21, 5, 21, 343, 8, 21, 10, 21, 12, 21, 346, 9, 21, 3, 21, 348, 8, 21, 1, 22, 1, 22, 5, 22, 352, 8, 22, 10, 22, 12, 22, 355, 9, 22, 1, 23, 1, 23, 5, 23, 359, 8, 23, 10, 23, 12, 23, 362, 9, 23, 1, 24, 1, 24, 1, 24, 3, 24, 367, 8, 24, 1, 25, 1, 25, 1, 25, 1, 25, 1, 25, 1, 25, 3, 25, 375, 8, 25, 1, 26, 1, 26, 1, 26, 1, 26, 3, 26, 381, 8, 26, 1, 26, 1, 26, 1, 27, 1, 27, 1, 27, 1, 27, 3, 27, 389, 8, 27, 1, 27, 1, 27, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 3, 28, 403, 8, 28, 1, 28, 3, 28, 406, 8, 28, 5, 28, 408, 8, 28, 10, 28, 12, 28, 411, 9, 28, 1, 29, 1, 29, 1, 29, 1, 29, 1, 29, 1, 29, 1, 29, 1, 29, 1, 29, 1, 29, 3, 29, 423, 8, 29, 1, 29, 3, 29, 426, 8, 29, 5, 29, 428, 8, 29, 10, 29, 12, 29, 431, 9, 29, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 1, 30, 3, 30, 444, 8, 30, 1, 31, 1, 31, 1, 31, 1, 31, 1, 31, 1, 31, 1, 31, 1, 31, 1, 31, 1, 31, 3, 31, 456, 8, 31, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 1, 32, 3, 32, 570, 8, 32, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 1, 33, 3, 33, 588, 8, 33, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 1, 34, 3, 34, 638, 8, 34, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 1, 35, 3, 35, 672, 8, 35, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 3, 36, 706, 8, 36, 1, 37, 1, 37, 1, 37, 1, 37, 1, 37, 1, 38, 1, 38, 1, 38, 1, 38, 3, 38, 717, 8, 38, 1, 38, 3, 38, 720, 8, 38, 1, 39, 1, 39, 1, 39, 1, 39, 3, 39, 726, 8, 39, 1, 39, 1, 39, 1, 39, 1, 39, 1, 39, 1, 39, 1, 39, 1, 39, 3, 39, 736, 8, 39, 1, 40, 1, 40, 1, 40, 1, 40, 1, 40, 1, 40, 1, 40, 1, 40, 3, 40, 746, 8, 40, 1, 41, 1, 41, 1, 41, 1, 41, 1, 41, 1, 42, 4, 42, 754, 8, 42, 11, 42, 12, 42, 755, 1, 43, 1, 43, 1, 43, 1, 43, 1, 43, 1, 43, 1, 43, 1, 43, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 1, 44, 3, 44, 780, 8, 44, 1, 45, 1, 45, 1, 46, 1, 46, 1, 47, 1, 47, 1, 48, 1, 48, 1, 49, 1, 49, 1, 49, 1, 49, 1, 49, 1, 49, 3, 49, 796, 8, 49, 1, 50, 1, 50, 1, 50, 1, 50, 1, 50, 1, 50, 3, 50, 804, 8, 50, 1, 51, 1, 51, 3, 51, 808, 8, 51, 1, 51, 3, 51, 811, 8, 51, 1, 51, 3, 51, 814, 8, 51, 1, 51, 3, 51, 817, 8, 51, 3, 51, 819, 8, 51, 1, 51, 3, 51, 822, 8, 51, 1, 51, 1, 51, 1, 51, 3, 51, 827, 8, 51, 1, 51, 1, 51, 1, 51, 3, 51, 832, 8, 51, 1, 51, 1, 51, 1, 51, 3, 51, 837, 8, 51, 1, 51, 1, 51, 1, 51, 3, 51, 842, 8, 51, 1, 51, 1, 51, 3, 51, 846, 8, 51, 1, 51, 3, 51, 849, 8, 51, 1, 51, 3, 51, 852, 8, 51, 1, 51, 3, 51, 855, 8, 51, 3, 51, 857, 8, 51, 1, 51, 3, 51, 860, 8, 51, 1, 51, 1, 51, 1, 51, 3, 51, 865, 8, 51, 1, 51, 1, 51, 1, 51, 3, 51, 870, 8, 51, 1, 51, 1, 51, 1, 51, 3, 51, 875, 8, 51, 1, 51, 1, 51, 1, 51, 3, 51, 880, 8, 51, 1, 51, 1, 51, 3, 51, 884, 8, 51, 1, 51, 3, 51, 887, 8, 51, 1, 51, 1, 51, 1, 51, 1, 51, 3, 51, 893, 8, 51, 1, 51, 1, 51, 3, 51, 897, 8, 51, 1, 51, 1, 51, 3, 51, 901, 8, 51, 1, 51, 1, 51, 1, 51, 1, 51, 3, 51, 907, 8, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 3, 51, 932, 8, 51, 1, 51, 3, 51, 935, 8, 51, 1, 51, 1, 51, 1, 51, 3, 51, 940, 8, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 3, 51, 947, 8, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 3, 51, 960, 8, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 1, 51, 3, 51, 970, 8, 51, 3, 51, 972, 8, 51, 1, 52, 1, 52, 1, 52, 1, 52, 1, 52, 3, 52, 979, 8, 52, 1, 53, 1, 53, 1, 53, 1, 53, 1, 53, 1, 53, 1, 53, 1, 53, 3, 53, 989, 8, 53, 1, 54, 1, 54, 1, 54, 1, 54, 1, 54, 1, 54, 1, 54, 1, 54, 1, 54, 3, 54, 1000, 8, 54, 1, 54, 1, 54, 1, 55, 1, 55, 1, 56, 1, 56, 1, 57, 1, 57, 1, 57, 1, 57, 1, 57, 3, 57, 1013, 8, 57, 1, 58, 1, 58, 1, 59, 1, 59, 1, 59, 1, 59, 1, 59, 3, 59, 1022, 8, 59, 1, 59, 1, 59, 3, 59, 1026, 8, 59, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 1, 60, 3, 60, 1034, 8, 60, 1, 61, 1, 61, 1, 61, 1, 61, 1, 61, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 1, 62, 0, 6, 24, 34, 36, 38, 56, 58, 63, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 0, 15, 2, 0, 1, 40, 154, 154, 1, 0, 41, 44, 1, 0, 181, 188, 1, 0, 182, 183, 1, 0, 47, 48, 4, 0, 49, 50, 147, 149, 153, 153, 169, 169, 1, 0, 174, 176, 3, 0, 87, 110, 124, 125, 128, 128, 2, 0, 122, 123, 126, 127, 6, 0, 111, 116, 119, 120, 129, 129, 132, 133, 135, 138, 142, 146, 4, 0, 117, 118, 130, 131, 134, 134, 139, 141, 2, 0, 51, 51, 61, 61, 2, 0, 52, 52, 62, 62, 1, 0, 85, 86, 2, 0, 176, 176, 191, 192, 1164, 0, 126, 1, 0, 0, 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