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[[390,82,27]] d ≤
n
390
k
82
d
27
kd²/n
153.277
w
16

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Distance

d_X 27 · witness weight 27 (claimed upper_bound)
witness operator (support, 27 qubits)
[2, 8, 18, 24, 36, 52, 59, 70, 74, 126, 128, 132, 145, 146, 148, 207, 211, 214, 239, 245, 265, 266, 284, 289, 300, 303, 386]
d_Z 35 · witness weight 35 (claimed upper_bound)
witness operator (support, 35 qubits)
[3, 14, 34, 40, 53, 68, 114, 121, 135, 137, 139, 143, 184, 202, 220, 225, 226, 231, 233, 239, 253, 260, 272, 275, 281, 310, 316, 317, 320, 324, 346, 368, 372, 382, 383]
certificate none yet · distance stands as a self-certified upper bound (d ≤)

Construction & provenance

authors @seunomonije
provenance submitted through the challenge
novelty novelty not audited
construction Generalized bicycle (two-block) code on the cyclic group Z_195: H_X = [A|B], H_Z = [B^T|A^T] with A, B circulants; a(x) support {0,36,84,86,91,100,139,177}, b(x) support {24,30,82,102,133,169,175,185}. Both a and b are sparse multiples of a degree-37 divisor g of x195-1 (product of the degree-1 factor x+1 and three degree-12 irreducible factors), giving k = 2*deg gcd(a,b,x195-1) = 82 at n = 390 with weight-16 checks. Distance evidence: rising RIS ladder to 20M trials/side plus three independent 8M-trial refutation passes (seeds 777/888/999) all bottoming at d<=27; BP+OSD decoder search found nothing lighter than 46.
model Claude Claude Fable 5 (claimed, not verified)
builds on arXiv:1904.02703, arXiv:2203.17216
date 2026-07-14
notes Search and verification by Claude Fable 5 (model: Claude Fable 5).
family generalized bicycle (a tag, not a ranking)
locality unrestricted (computed from the layout)
weight class weight > 8 (computed)

How this code was found

no research note was staged with this submission — notes are requested for new submissions (notes/README.md)

Parity checks

X-checks 195 · Z-checks 195
H_X (195 checks, sparse supports)
[0, 36, 84, 86, 91, 100, 139, 177, 219, 225, 277, 297, 328, 364, 370, 380] [1, 37, 85, 87, 92, 101, 140, 178, 220, 226, 278, 298, 329, 365, 371, 381] [2, 38, 86, 88, 93, 102, 141, 179, 221, 227, 279, 299, 330, 366, 372, 382] [3, 39, 87, 89, 94, 103, 142, 180, 222, 228, 280, 300, 331, 367, 373, 383] [4, 40, 88, 90, 95, 104, 143, 181, 223, 229, 281, 301, 332, 368, 374, 384] [5, 41, 89, 91, 96, 105, 144, 182, 224, 230, 282, 302, 333, 369, 375, 385] [6, 42, 90, 92, 97, 106, 145, 183, 225, 231, 283, 303, 334, 370, 376, 386] [7, 43, 91, 93, 98, 107, 146, 184, 226, 232, 284, 304, 335, 371, 377, 387] [8, 44, 92, 94, 99, 108, 147, 185, 227, 233, 285, 305, 336, 372, 378, 388] [9, 45, 93, 95, 100, 109, 148, 186, 228, 234, 286, 306, 337, 373, 379, 389] [10, 46, 94, 96, 101, 110, 149, 187, 195, 229, 235, 287, 307, 338, 374, 380] [11, 47, 95, 97, 102, 111, 150, 188, 196, 230, 236, 288, 308, 339, 375, 381] [12, 48, 96, 98, 103, 112, 151, 189, 197, 231, 237, 289, 309, 340, 376, 382] [13, 49, 97, 99, 104, 113, 152, 190, 198, 232, 238, 290, 310, 341, 377, 383] [14, 50, 98, 100, 105, 114, 153, 191, 199, 233, 239, 291, 311, 342, 378, 384] [15, 51, 99, 101, 106, 115, 154, 192, 200, 234, 240, 292, 312, 343, 379, 385] [16, 52, 100, 102, 107, 116, 155, 193, 201, 235, 241, 293, 313, 344, 380, 386] [17, 53, 101, 103, 108, 117, 156, 194, 202, 236, 242, 294, 314, 345, 381, 387] [0, 18, 54, 102, 104, 109, 118, 157, 203, 237, 243, 295, 315, 346, 382, 388] [1, 19, 55, 103, 105, 110, 119, 158, 204, 238, 244, 296, 316, 347, 383, 389] [2, 20, 56, 104, 106, 111, 120, 159, 195, 205, 239, 245, 297, 317, 348, 384] [3, 21, 57, 105, 107, 112, 121, 160, 196, 206, 240, 246, 298, 318, 349, 385] [4, 22, 58, 106, 108, 113, 122, 161, 197, 207, 241, 247, 299, 319, 350, 386] [5, 23, 59, 107, 109, 114, 123, 162, 198, 208, 242, 248, 300, 320, 351, 387] [6, 24, 60, 108, 110, 115, 124, 163, 199, 209, 243, 249, 301, 321, 352, 388] [7, 25, 61, 109, 111, 116, 125, 164, 200, 210, 244, 250, 302, 322, 353, 389] [8, 26, 62, 110, 112, 117, 126, 165, 195, 201, 211, 245, 251, 303, 323, 354] [9, 27, 63, 111, 113, 118, 127, 166, 196, 202, 212, 246, 252, 304, 324, 355] [10, 28, 64, 112, 114, 119, 128, 167, 197, 203, 213, 247, 253, 305, 325, 356] [11, 29, 65, 113, 115, 120, 129, 168, 198, 204, 214, 248, 254, 306, 326, 357] [12, 30, 66, 114, 116, 121, 130, 169, 199, 205, 215, 249, 255, 307, 327, 358] [13, 31, 67, 115, 117, 122, 131, 170, 200, 206, 216, 250, 256, 308, 328, 359] [14, 32, 68, 116, 118, 123, 132, 171, 201, 207, 217, 251, 257, 309, 329, 360] [15, 33, 69, 117, 119, 124, 133, 172, 202, 208, 218, 252, 258, 310, 330, 361] [16, 34, 70, 118, 120, 125, 134, 173, 203, 209, 219, 253, 259, 311, 331, 362] [17, 35, 71, 119, 121, 126, 135, 174, 204, 210, 220, 254, 260, 312, 332, 363] [18, 36, 72, 120, 122, 127, 136, 175, 205, 211, 221, 255, 261, 313, 333, 364] [19, 37, 73, 121, 123, 128, 137, 176, 206, 212, 222, 256, 262, 314, 334, 365] [20, 38, 74, 122, 124, 129, 138, 177, 207, 213, 223, 257, 263, 315, 335, 366] [21, 39, 75, 123, 125, 130, 139, 178, 208, 214, 224, 258, 264, 316, 336, 367] [22, 40, 76, 124, 126, 131, 140, 179, 209, 215, 225, 259, 265, 317, 337, 368] [23, 41, 77, 125, 127, 132, 141, 180, 210, 216, 226, 260, 266, 318, 338, 369] [24, 42, 78, 126, 128, 133, 142, 181, 211, 217, 227, 261, 267, 319, 339, 370] [25, 43, 79, 127, 129, 134, 143, 182, 212, 218, 228, 262, 268, 320, 340, 371] [26, 44, 80, 128, 130, 135, 144, 183, 213, 219, 229, 263, 269, 321, 341, 372] [27, 45, 81, 129, 131, 136, 145, 184, 214, 220, 230, 264, 270, 322, 342, 373] [28, 46, 82, 130, 132, 137, 146, 185, 215, 221, 231, 265, 271, 323, 343, 374] [29, 47, 83, 131, 133, 138, 147, 186, 216, 222, 232, 266, 272, 324, 344, 375] [30, 48, 84, 132, 134, 139, 148, 187, 217, 223, 233, 267, 273, 325, 345, 376] [31, 49, 85, 133, 135, 140, 149, 188, 218, 224, 234, 268, 274, 326, 346, 377] [32, 50, 86, 134, 136, 141, 150, 189, 219, 225, 235, 269, 275, 327, 347, 378] [33, 51, 87, 135, 137, 142, 151, 190, 220, 226, 236, 270, 276, 328, 348, 379] [34, 52, 88, 136, 138, 143, 152, 191, 221, 227, 237, 271, 277, 329, 349, 380] [35, 53, 89, 137, 139, 144, 153, 192, 222, 228, 238, 272, 278, 330, 350, 381] [36, 54, 90, 138, 140, 145, 154, 193, 223, 229, 239, 273, 279, 331, 351, 382] [37, 55, 91, 139, 141, 146, 155, 194, 224, 230, 240, 274, 280, 332, 352, 383] [0, 38, 56, 92, 140, 142, 147, 156, 225, 231, 241, 275, 281, 333, 353, 384] [1, 39, 57, 93, 141, 143, 148, 157, 226, 232, 242, 276, 282, 334, 354, 385] [2, 40, 58, 94, 142, 144, 149, 158, 227, 233, 243, 277, 283, 335, 355, 386] [3, 41, 59, 95, 143, 145, 150, 159, 228, 234, 244, 278, 284, 336, 356, 387] [4, 42, 60, 96, 144, 146, 151, 160, 229, 235, 245, 279, 285, 337, 357, 388] [5, 43, 61, 97, 145, 147, 152, 161, 230, 236, 246, 280, 286, 338, 358, 389] [6, 44, 62, 98, 146, 148, 153, 162, 195, 231, 237, 247, 281, 287, 339, 359] [7, 45, 63, 99, 147, 149, 154, 163, 196, 232, 238, 248, 282, 288, 340, 360] [8, 46, 64, 100, 148, 150, 155, 164, 197, 233, 239, 249, 283, 289, 341, 361] [9, 47, 65, 101, 149, 151, 156, 165, 198, 234, 240, 250, 284, 290, 342, 362] [10, 48, 66, 102, 150, 152, 157, 166, 199, 235, 241, 251, 285, 291, 343, 363] [11, 49, 67, 103, 151, 153, 158, 167, 200, 236, 242, 252, 286, 292, 344, 364] [12, 50, 68, 104, 152, 154, 159, 168, 201, 237, 243, 253, 287, 293, 345, 365] [13, 51, 69, 105, 153, 155, 160, 169, 202, 238, 244, 254, 288, 294, 346, 366] [14, 52, 70, 106, 154, 156, 161, 170, 203, 239, 245, 255, 289, 295, 347, 367] [15, 53, 71, 107, 155, 157, 162, 171, 204, 240, 246, 256, 290, 296, 348, 368] [16, 54, 72, 108, 156, 158, 163, 172, 205, 241, 247, 257, 291, 297, 349, 369] [17, 55, 73, 109, 157, 159, 164, 173, 206, 242, 248, 258, 292, 298, 350, 370] [18, 56, 74, 110, 158, 160, 165, 174, 207, 243, 249, 259, 293, 299, 351, 371] [19, 57, 75, 111, 159, 161, 166, 175, 208, 244, 250, 260, 294, 300, 352, 372] [20, 58, 76, 112, 160, 162, 167, 176, 209, 245, 251, 261, 295, 301, 353, 373] [21, 59, 77, 113, 161, 163, 168, 177, 210, 246, 252, 262, 296, 302, 354, 374] [22, 60, 78, 114, 162, 164, 169, 178, 211, 247, 253, 263, 297, 303, 355, 375] [23, 61, 79, 115, 163, 165, 170, 179, 212, 248, 254, 264, 298, 304, 356, 376] [24, 62, 80, 116, 164, 166, 171, 180, 213, 249, 255, 265, 299, 305, 357, 377] [25, 63, 81, 117, 165, 167, 172, 181, 214, 250, 256, 266, 300, 306, 358, 378] [26, 64, 82, 118, 166, 168, 173, 182, 215, 251, 257, 267, 301, 307, 359, 379] [27, 65, 83, 119, 167, 169, 174, 183, 216, 252, 258, 268, 302, 308, 360, 380] [28, 66, 84, 120, 168, 170, 175, 184, 217, 253, 259, 269, 303, 309, 361, 381] [29, 67, 85, 121, 169, 171, 176, 185, 218, 254, 260, 270, 304, 310, 362, 382] [30, 68, 86, 122, 170, 172, 177, 186, 219, 255, 261, 271, 305, 311, 363, 383] [31, 69, 87, 123, 171, 173, 178, 187, 220, 256, 262, 272, 306, 312, 364, 384] [32, 70, 88, 124, 172, 174, 179, 188, 221, 257, 263, 273, 307, 313, 365, 385] [33, 71, 89, 125, 173, 175, 180, 189, 222, 258, 264, 274, 308, 314, 366, 386] [34, 72, 90, 126, 174, 176, 181, 190, 223, 259, 265, 275, 309, 315, 367, 387] [35, 73, 91, 127, 175, 177, 182, 191, 224, 260, 266, 276, 310, 316, 368, 388] [36, 74, 92, 128, 176, 178, 183, 192, 225, 261, 267, 277, 311, 317, 369, 389] [37, 75, 93, 129, 177, 179, 184, 193, 195, 226, 262, 268, 278, 312, 318, 370] [38, 76, 94, 130, 178, 180, 185, 194, 196, 227, 263, 269, 279, 313, 319, 371] [0, 39, 77, 95, 131, 179, 181, 186, 197, 228, 264, 270, 280, 314, 320, 372] [1, 40, 78, 96, 132, 180, 182, 187, 198, 229, 265, 271, 281, 315, 321, 373] [2, 41, 79, 97, 133, 181, 183, 188, 199, 230, 266, 272, 282, 316, 322, 374] [3, 42, 80, 98, 134, 182, 184, 189, 200, 231, 267, 273, 283, 317, 323, 375] [4, 43, 81, 99, 135, 183, 185, 190, 201, 232, 268, 274, 284, 318, 324, 376] [5, 44, 82, 100, 136, 184, 186, 191, 202, 233, 269, 275, 285, 319, 325, 377] [6, 45, 83, 101, 137, 185, 187, 192, 203, 234, 270, 276, 286, 320, 326, 378] [7, 46, 84, 102, 138, 186, 188, 193, 204, 235, 271, 277, 287, 321, 327, 379] [8, 47, 85, 103, 139, 187, 189, 194, 205, 236, 272, 278, 288, 322, 328, 380] [0, 9, 48, 86, 104, 140, 188, 190, 206, 237, 273, 279, 289, 323, 329, 381] [1, 10, 49, 87, 105, 141, 189, 191, 207, 238, 274, 280, 290, 324, 330, 382] [2, 11, 50, 88, 106, 142, 190, 192, 208, 239, 275, 281, 291, 325, 331, 383] [3, 12, 51, 89, 107, 143, 191, 193, 209, 240, 276, 282, 292, 326, 332, 384] [4, 13, 52, 90, 108, 144, 192, 194, 210, 241, 277, 283, 293, 327, 333, 385] [0, 5, 14, 53, 91, 109, 145, 193, 211, 242, 278, 284, 294, 328, 334, 386] [1, 6, 15, 54, 92, 110, 146, 194, 212, 243, 279, 285, 295, 329, 335, 387] [0, 2, 7, 16, 55, 93, 111, 147, 213, 244, 280, 286, 296, 330, 336, 388] [1, 3, 8, 17, 56, 94, 112, 148, 214, 245, 281, 287, 297, 331, 337, 389] [2, 4, 9, 18, 57, 95, 113, 149, 195, 215, 246, 282, 288, 298, 332, 338] [3, 5, 10, 19, 58, 96, 114, 150, 196, 216, 247, 283, 289, 299, 333, 339] [4, 6, 11, 20, 59, 97, 115, 151, 197, 217, 248, 284, 290, 300, 334, 340] [5, 7, 12, 21, 60, 98, 116, 152, 198, 218, 249, 285, 291, 301, 335, 341] [6, 8, 13, 22, 61, 99, 117, 153, 199, 219, 250, 286, 292, 302, 336, 342] [7, 9, 14, 23, 62, 100, 118, 154, 200, 220, 251, 287, 293, 303, 337, 343] [8, 10, 15, 24, 63, 101, 119, 155, 201, 221, 252, 288, 294, 304, 338, 344] [9, 11, 16, 25, 64, 102, 120, 156, 202, 222, 253, 289, 295, 305, 339, 345] [10, 12, 17, 26, 65, 103, 121, 157, 203, 223, 254, 290, 296, 306, 340, 346] [11, 13, 18, 27, 66, 104, 122, 158, 204, 224, 255, 291, 297, 307, 341, 347] [12, 14, 19, 28, 67, 105, 123, 159, 205, 225, 256, 292, 298, 308, 342, 348] [13, 15, 20, 29, 68, 106, 124, 160, 206, 226, 257, 293, 299, 309, 343, 349] [14, 16, 21, 30, 69, 107, 125, 161, 207, 227, 258, 294, 300, 310, 344, 350] [15, 17, 22, 31, 70, 108, 126, 162, 208, 228, 259, 295, 301, 311, 345, 351] [16, 18, 23, 32, 71, 109, 127, 163, 209, 229, 260, 296, 302, 312, 346, 352] [17, 19, 24, 33, 72, 110, 128, 164, 210, 230, 261, 297, 303, 313, 347, 353] [18, 20, 25, 34, 73, 111, 129, 165, 211, 231, 262, 298, 304, 314, 348, 354] [19, 21, 26, 35, 74, 112, 130, 166, 212, 232, 263, 299, 305, 315, 349, 355] [20, 22, 27, 36, 75, 113, 131, 167, 213, 233, 264, 300, 306, 316, 350, 356] [21, 23, 28, 37, 76, 114, 132, 168, 214, 234, 265, 301, 307, 317, 351, 357] [22, 24, 29, 38, 77, 115, 133, 169, 215, 235, 266, 302, 308, 318, 352, 358] [23, 25, 30, 39, 78, 116, 134, 170, 216, 236, 267, 303, 309, 319, 353, 359] [24, 26, 31, 40, 79, 117, 135, 171, 217, 237, 268, 304, 310, 320, 354, 360] [25, 27, 32, 41, 80, 118, 136, 172, 218, 238, 269, 305, 311, 321, 355, 361] [26, 28, 33, 42, 81, 119, 137, 173, 219, 239, 270, 306, 312, 322, 356, 362] [27, 29, 34, 43, 82, 120, 138, 174, 220, 240, 271, 307, 313, 323, 357, 363] [28, 30, 35, 44, 83, 121, 139, 175, 221, 241, 272, 308, 314, 324, 358, 364] [29, 31, 36, 45, 84, 122, 140, 176, 222, 242, 273, 309, 315, 325, 359, 365] [30, 32, 37, 46, 85, 123, 141, 177, 223, 243, 274, 310, 316, 326, 360, 366] [31, 33, 38, 47, 86, 124, 142, 178, 224, 244, 275, 311, 317, 327, 361, 367] [32, 34, 39, 48, 87, 125, 143, 179, 225, 245, 276, 312, 318, 328, 362, 368] [33, 35, 40, 49, 88, 126, 144, 180, 226, 246, 277, 313, 319, 329, 363, 369] [34, 36, 41, 50, 89, 127, 145, 181, 227, 247, 278, 314, 320, 330, 364, 370] [35, 37, 42, 51, 90, 128, 146, 182, 228, 248, 279, 315, 321, 331, 365, 371] [36, 38, 43, 52, 91, 129, 147, 183, 229, 249, 280, 316, 322, 332, 366, 372] [37, 39, 44, 53, 92, 130, 148, 184, 230, 250, 281, 317, 323, 333, 367, 373] [38, 40, 45, 54, 93, 131, 149, 185, 231, 251, 282, 318, 324, 334, 368, 374] [39, 41, 46, 55, 94, 132, 150, 186, 232, 252, 283, 319, 325, 335, 369, 375] [40, 42, 47, 56, 95, 133, 151, 187, 233, 253, 284, 320, 326, 336, 370, 376] [41, 43, 48, 57, 96, 134, 152, 188, 234, 254, 285, 321, 327, 337, 371, 377] [42, 44, 49, 58, 97, 135, 153, 189, 235, 255, 286, 322, 328, 338, 372, 378] [43, 45, 50, 59, 98, 136, 154, 190, 236, 256, 287, 323, 329, 339, 373, 379] [44, 46, 51, 60, 99, 137, 155, 191, 237, 257, 288, 324, 330, 340, 374, 380] [45, 47, 52, 61, 100, 138, 156, 192, 238, 258, 289, 325, 331, 341, 375, 381] [46, 48, 53, 62, 101, 139, 157, 193, 239, 259, 290, 326, 332, 342, 376, 382] [47, 49, 54, 63, 102, 140, 158, 194, 240, 260, 291, 327, 333, 343, 377, 383] [0, 48, 50, 55, 64, 103, 141, 159, 241, 261, 292, 328, 334, 344, 378, 384] [1, 49, 51, 56, 65, 104, 142, 160, 242, 262, 293, 329, 335, 345, 379, 385] [2, 50, 52, 57, 66, 105, 143, 161, 243, 263, 294, 330, 336, 346, 380, 386] [3, 51, 53, 58, 67, 106, 144, 162, 244, 264, 295, 331, 337, 347, 381, 387] [4, 52, 54, 59, 68, 107, 145, 163, 245, 265, 296, 332, 338, 348, 382, 388] [5, 53, 55, 60, 69, 108, 146, 164, 246, 266, 297, 333, 339, 349, 383, 389] [6, 54, 56, 61, 70, 109, 147, 165, 195, 247, 267, 298, 334, 340, 350, 384] [7, 55, 57, 62, 71, 110, 148, 166, 196, 248, 268, 299, 335, 341, 351, 385] [8, 56, 58, 63, 72, 111, 149, 167, 197, 249, 269, 300, 336, 342, 352, 386] [9, 57, 59, 64, 73, 112, 150, 168, 198, 250, 270, 301, 337, 343, 353, 387] [10, 58, 60, 65, 74, 113, 151, 169, 199, 251, 271, 302, 338, 344, 354, 388] [11, 59, 61, 66, 75, 114, 152, 170, 200, 252, 272, 303, 339, 345, 355, 389] [12, 60, 62, 67, 76, 115, 153, 171, 195, 201, 253, 273, 304, 340, 346, 356] [13, 61, 63, 68, 77, 116, 154, 172, 196, 202, 254, 274, 305, 341, 347, 357] [14, 62, 64, 69, 78, 117, 155, 173, 197, 203, 255, 275, 306, 342, 348, 358] [15, 63, 65, 70, 79, 118, 156, 174, 198, 204, 256, 276, 307, 343, 349, 359] [16, 64, 66, 71, 80, 119, 157, 175, 199, 205, 257, 277, 308, 344, 350, 360] [17, 65, 67, 72, 81, 120, 158, 176, 200, 206, 258, 278, 309, 345, 351, 361] [18, 66, 68, 73, 82, 121, 159, 177, 201, 207, 259, 279, 310, 346, 352, 362] [19, 67, 69, 74, 83, 122, 160, 178, 202, 208, 260, 280, 311, 347, 353, 363] [20, 68, 70, 75, 84, 123, 161, 179, 203, 209, 261, 281, 312, 348, 354, 364] [21, 69, 71, 76, 85, 124, 162, 180, 204, 210, 262, 282, 313, 349, 355, 365] [22, 70, 72, 77, 86, 125, 163, 181, 205, 211, 263, 283, 314, 350, 356, 366] [23, 71, 73, 78, 87, 126, 164, 182, 206, 212, 264, 284, 315, 351, 357, 367] [24, 72, 74, 79, 88, 127, 165, 183, 207, 213, 265, 285, 316, 352, 358, 368] [25, 73, 75, 80, 89, 128, 166, 184, 208, 214, 266, 286, 317, 353, 359, 369] [26, 74, 76, 81, 90, 129, 167, 185, 209, 215, 267, 287, 318, 354, 360, 370] [27, 75, 77, 82, 91, 130, 168, 186, 210, 216, 268, 288, 319, 355, 361, 371] [28, 76, 78, 83, 92, 131, 169, 187, 211, 217, 269, 289, 320, 356, 362, 372] [29, 77, 79, 84, 93, 132, 170, 188, 212, 218, 270, 290, 321, 357, 363, 373] [30, 78, 80, 85, 94, 133, 171, 189, 213, 219, 271, 291, 322, 358, 364, 374] [31, 79, 81, 86, 95, 134, 172, 190, 214, 220, 272, 292, 323, 359, 365, 375] [32, 80, 82, 87, 96, 135, 173, 191, 215, 221, 273, 293, 324, 360, 366, 376] [33, 81, 83, 88, 97, 136, 174, 192, 216, 222, 274, 294, 325, 361, 367, 377] [34, 82, 84, 89, 98, 137, 175, 193, 217, 223, 275, 295, 326, 362, 368, 378] [35, 83, 85, 90, 99, 138, 176, 194, 218, 224, 276, 296, 327, 363, 369, 379]
H_Z (195 checks, sparse supports)
[10, 20, 26, 62, 93, 113, 165, 171, 195, 213, 251, 290, 299, 304, 306, 354] [11, 21, 27, 63, 94, 114, 166, 172, 196, 214, 252, 291, 300, 305, 307, 355] [12, 22, 28, 64, 95, 115, 167, 173, 197, 215, 253, 292, 301, 306, 308, 356] [13, 23, 29, 65, 96, 116, 168, 174, 198, 216, 254, 293, 302, 307, 309, 357] [14, 24, 30, 66, 97, 117, 169, 175, 199, 217, 255, 294, 303, 308, 310, 358] [15, 25, 31, 67, 98, 118, 170, 176, 200, 218, 256, 295, 304, 309, 311, 359] [16, 26, 32, 68, 99, 119, 171, 177, 201, 219, 257, 296, 305, 310, 312, 360] [17, 27, 33, 69, 100, 120, 172, 178, 202, 220, 258, 297, 306, 311, 313, 361] [18, 28, 34, 70, 101, 121, 173, 179, 203, 221, 259, 298, 307, 312, 314, 362] [19, 29, 35, 71, 102, 122, 174, 180, 204, 222, 260, 299, 308, 313, 315, 363] [20, 30, 36, 72, 103, 123, 175, 181, 205, 223, 261, 300, 309, 314, 316, 364] [21, 31, 37, 73, 104, 124, 176, 182, 206, 224, 262, 301, 310, 315, 317, 365] [22, 32, 38, 74, 105, 125, 177, 183, 207, 225, 263, 302, 311, 316, 318, 366] [23, 33, 39, 75, 106, 126, 178, 184, 208, 226, 264, 303, 312, 317, 319, 367] [24, 34, 40, 76, 107, 127, 179, 185, 209, 227, 265, 304, 313, 318, 320, 368] [25, 35, 41, 77, 108, 128, 180, 186, 210, 228, 266, 305, 314, 319, 321, 369] [26, 36, 42, 78, 109, 129, 181, 187, 211, 229, 267, 306, 315, 320, 322, 370] [27, 37, 43, 79, 110, 130, 182, 188, 212, 230, 268, 307, 316, 321, 323, 371] [28, 38, 44, 80, 111, 131, 183, 189, 213, 231, 269, 308, 317, 322, 324, 372] [29, 39, 45, 81, 112, 132, 184, 190, 214, 232, 270, 309, 318, 323, 325, 373] [30, 40, 46, 82, 113, 133, 185, 191, 215, 233, 271, 310, 319, 324, 326, 374] [31, 41, 47, 83, 114, 134, 186, 192, 216, 234, 272, 311, 320, 325, 327, 375] [32, 42, 48, 84, 115, 135, 187, 193, 217, 235, 273, 312, 321, 326, 328, 376] [33, 43, 49, 85, 116, 136, 188, 194, 218, 236, 274, 313, 322, 327, 329, 377] [0, 34, 44, 50, 86, 117, 137, 189, 219, 237, 275, 314, 323, 328, 330, 378] [1, 35, 45, 51, 87, 118, 138, 190, 220, 238, 276, 315, 324, 329, 331, 379] [2, 36, 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raw submission JSON