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                                            Advice {
                                                query_index: 8,
                                                column_index: 8,
                                                rotation: Rotation(
                                                    0,
                                                ),
                                            },
                                            Advice {
                                                query_index: 9,
                                                column_index: 9,
                                                rotation: Rotation(
                                                    0,
                                                ),
                                            },
                                        ),
                                        Sum(
                                            Advice {
                                                query_index: 5,
                                                column_index: 5,
                                                rotation: Rotation(
                                                    0,
                                                ),
                                            },
                                            Negated(
                                                Sum(
                                                    Sum(
                                                        Product(
                                                            Advice {
                                                                query_index: 8,
                                                                column_index: 8,
                                                                rotation: Rotation(
                                                                    0,
                                                                ),
                                                            },
                                                            Advice {
                                                                query_index: 8,
                                                                column_index: 8,
                                                                rotation: Rotation(
                                                                    0,
                                                                ),
                                                            },
                                                        ),
                                                        Negated(
                                                            Advice {
                                                                query_index: 5,
                                                                column_index: 5,
                                                                rotation: Rotation(
                                                                    0,
                                                                ),
                                                            },
                                                        ),
                                                    ),
                                                    Negated(
                                                        Advice {
                                                            query_index: 6,
                                                            column_index: 6,
                                                            rotation: Rotation(
                                                                0,
                                                            ),
                                                        },
                                                    ),
                                                ),
                                            ),
                                        ),
                                    ),
                                    0x2000000000000000000000000000000011234c7e04a67c8dcc96987680000001,
                                ),
                                Negated(
                                    Product(
                                        Advice {
                                            query_index: 8,
                                            column_index: 8,
                                            rotation: Rotation(
                                                0,
                                            ),
                                        },
                                        Sum(
                                            Advice {
                                                query_index: 5,
                                                column_index: 5,
                                                rotation: Rotation(
                                                    0,
                                                ),
                                            },
                                            Negated(
                                                Advice {
                                                    query_index: 6,
                                                    column_index: 6,
                                                    rotation: Rotation(
                                                        0,
                                                    ),
                                                },
                                            ),
                                        ),
                                    ),
                                ),
                            ),
                        ),
                        Scaled(
                            Sum(
                                Constant(
                                    0x0000000000000000000000000000000000000000000000000000000000000001,
                                ),
                                Negated(
                                    Fixed {
                                        query_index: 20,
                                        column_index: 20,
                                        rotation: Rotation(
                                            0,
                                        ),
                                    },
                                ),
                            ),
                            0x2f0f40c2f152a01c9caf66298493d5d0944a041c2e65ba0117c24f76bf8e6483,
                        ),
                    ),
                ],
                table_expressions: [
                    Fixed {
                        query_index: 1,
                        column_index: 0,
                        rotation: Rotation(
                            0,
                        ),
                    },
                    Fixed {
                        query_index: 12,
                        column_index: 2,
                        rotation: Rotation(
                            0,
                        ),
                    },
                    Fixed {
                        query_index: 13,
                        column_index: 3,
                        rotation: Rotation(
                            0,
                        ),
                    },
                ],
            },
        ],
        constants: [
            Column {
                index: 4,
                column_type: Fixed,
            },
        ],
        minimum_degree: None,
    },
    fixed_commitments: [
        (0x3887a29815d3a28d43c453904169e07def787baca6c9452505d2de78dd44b86f, 0x2f95e59472ab087725d62deea9c3b406ae490eff7c0318269d6f2b025934cc70),
        (0x0decb727cf32e573604ae3928a761b450d9460f2a7283c8cf88a2b38b796e575, 0x044c0a88bc6aa468e75fc709f9eb21b6e309dd8a6ca62f7a3da86299141ea3a9),
        (0x285e16cead69d5fef9441d4d4ac695fe8880120d209e1e631d8a4bc5f55e90e6, 0x3700fd2dfcfac5b2cb6d33c60ac79dfac3fb95518cd0aa97c75a51d62281f2c1),
        (0x2dc11f4f0000da15c59cd395ea5f32b4e79783d958c290c821c89e0bcb50eaf1, 0x2c53e12ce0a2022516ef31f0224b0bc1b119861078358f78d245ba5d2f180099),
        (0x3fb934de80a76b78bb5daf3fb368ebcefabc5b6b9ebae5cddc1e39c82b122b48, 0x130a034bee7622c60e8a53f70216e48696f5d9457aade41f0ef09166091c66e7),
        (0x19e589077358b9abcb3e21a71537113cf43c43aea7e300fdfb755bb29449a5b6, 0x1da596141c740b648dabc4961ed014ed0dd8dfcc03b2d02cf6ff9e8a3ff0e42e),
        (0x1af56c46ba6aaab50db1acd46003c05c3fee103776681f61100b1b6aef07c284, 0x38eea07b7f5881eff963d114e50084bb5bf5cf359f023fc855f3a01b0ca1e432),
        (0x0cfb7c9b0bfcf398a53c13d6e1068989805f1cf254dddcaa4ab57da05ad0616e, 0x37fcd5b873385ee44169fe3870a9feeadbf64c21fa2c4b130f718e47f29ff8dc),
        (0x03c0cdbe7ea6296a9eb724d225d0adf451999dd9686aaa5659e23102b5daec07, 0x1ec2e8d39dd47c991a31f9476467800bf49655e7293efc4e5261b7ffb15af542),
        (0x1314cd9c9d35b73165e86972dc6007ec35aab9ef8f6358cc090043cf68c4c2f5, 0x3d9e921baede6846e7fd2f0805deec1da2395e7d3f647ef8f6e5ecdb456c22c3),
        (0x3e3c175e12e425f9f5b499541aba80122e8c346ab329e8d2400debb7a4298473, 0x3621561ea96a7834b55250be2bc137fffa02705ca49848c61955417883a289c1),
        (0x0491089f80b3aa79defa2923388ba287c07ff7b5d805932133b249b674c69dcb, 0x2463e5cde6ef2b91fbd72d8d1511556bf6d9ec460f19b890544bc6886906741c),
        (0x2b8e5f9c2efdb6cca222b066bd10be6c1ec15951b5f22f11e7bdad199936d91e, 0x2579a5ebe80abe31205c73ebfe4012559a9c00f9ed2a7303c08420dd46ecccc8),
        (0x06abaaea1008f82ba485632d1e6d130e8bd9baf450cee1210b5780fae7df1012, 0x0b21835ef9aed7d7b1a0dc9b2af53fab3a6c4f1a8a3568c2570d06ba392a73a1),
        (0x1f18cb4d7fc46f1fe4aecbaf07fae7d29a0cb49317f60c17161837443e2f32a0, 0x3827b12472ab9f40d713702752e542832f8e812ca73b14e975b42ab7c56f10b9),
        (0x1880c0651fead5ccae365349f9158252d6846f24f3d4c1fa9c190ee0b9020f3f, 0x05fb1b7ad97f29412f5a50cd0369f7c2a4cc07f98e2e4ddc0b677a97ac3617a6),
        (0x18b67544d4466429760be2b231418b43d35d79462f8743051c8e437dd710035d, 0x2ca31a6106310316da5633fe4e16e2a0affafc4541b280a9722ae86219127aa0),
        (0x0477cc6f6292f9d3dcbcdb6b896dbc2b76b8716db8d80f36af610738a89e58e0, 0x0fb4d1d92e0606c83e4d1359ad9e607a936339871c9c606cc9218225c8a762d4),
        (0x027f5c9006d53a989091caa780c6b4ec009e328d03836f95ee05bfb2178ba931, 0x2c7612c86a27585617aa8b0202e638d57b079417ca8722a4f47c3c12892cbea9),
        (0x1b9d2736bed08950ac569b6bc5d2a8bdd48cec8a206030c306f665af83c4df12, 0x2b8e0e07c521db751c386d011504b5f4c8fd2b09ace077e54f05bd0fbe0a2def),
        (0x3d7f0951711965e07ab0e4c1451361e5b536793dcf76176e4e854285a7bdabba, 0x13780fb58b9b717ebd2040e8d79be7bc7f32c5d9b31b0766c6eea63ccc6c6ff1),
        (0x2ebee709b368779cf6bc2bec772f19fee25938985b94fef3a86c9950adcc9ae0, 0x18af23ba308d2e8a6d9bf544def217546a8e9816192ce2c29841379a935b74ff),
        (0x2a9ef8f91987bd8f2f6101abfc05caf7e30c7d79faba1022d547a00b04333f7c, 0x153a1907977cf09f557085c0f256b877f72567b3a2f92179e33d468fbfc8b10a),
        (0x334105dd96996a08df56e88261dcd87c5356cfc0f2b8ae0a9419899d5def147b, 0x09ddf24ae765eda056cf59b16ac14464240c83e253135682c02e6546f89dd396),
        (0x2dac89c801000721a4422cb8bb1def97cd3bfce7c64ac6327e335b3c0071a049, 0x2e2575abf15aa7424617ae9c7c9749c67c38a3e68082c4f937e4dbcff98b4dfc),
        (0x0b89c282c8f2d54e66c7a11e6b4338a2f06a7c9430f7d3376328f12fa001cac5, 0x098b5c8ee6548183ccb4e60cdfee10b509db34ed136daf3530a426e8f200e89d),
        (0x2f7f85b86b6adcf714d0df7878f4604d33fd319f39bd00fd5c34378247a155b5, 0x3a2f025447b83b65d148e99c93fe8bb991a81ef6d2f827f010680467361c47fc),
        (0x121fe2a31c21b4d21266dde870a72ca2e96ea0fd80ca2ca59436c8cad25ae150, 0x0d2aff2c6e65712a354da894209b75ff8479cb958ab050156f63f3760b8a05ca),
        (0x14815e90ec334c51da36b50c69b8f192f1cfd63fcd3257c7a16691b7be2a1759, 0x0711e90858dbade5aac1c82b1000a59e2beccfd84db4e212368b1a5b5a8ecf3a),
        (0x3bd7f461093bd6b774837199b58d3d6741f80ce738345b18800adf8fedf37286, 0x3f9162dc512623e1c62b2360fb6db7400f9c545b2028af0f4580d308fd44818c),
        (0x1f64379a921e197082d9e2afe9baa825f2af8fa02bbfa653772604bf22125eaa, 0x348d5a1de410f8c0ec8f9fe4514709c6cbc0882dc8d6ec0f8562f05c535ab2a9),
        (0x12e6bba88452419d3d1632edf16b02a63a5ac81241118845ea41ed70111f1f83, 0x3f0899ae3f41bea051afee8df4dddb13d78857773df79d2e6eeae02b0c8f423d),
        (0x0f59f5bdf3fbc2551cff44f3444bdb84ca5956aa0ec424cb8d8318abc12370d8, 0x219d1021cfd377e3ea006ed15485437702218e0cc6e76975025f7632bd66d072),
    ],
    permutation: VerifyingKey {
        commitments: [
            (0x05625166f1bf876dd59af0e45b068df3dc22e28accb12418d5111fc12b563d4a, 0x102be9e1b4fe8a6d8c00ffbf6513e8410b9a940a7b559914fdeb45a2b170cdb3),
            (0x2319a6b8fdaca310c4042b98fe068ce93913270e534c3d88029fc5f8ba6ab3d9, 0x1a4374fb532ec3d030217dc66c6e0db4ac456bee8641cfe049190973c8b5c72f),
            (0x0765958f562227c7838c73baba821f9c2f40868c58654dcf675b718feef1a01e, 0x378fb34b8ab337872d942b99123219ffe532124adc9cd3c31437aa6a5becd763),
            (0x1df175a3908c91e4d9c1e4fd6e8f30d3fde110f9dc379eec7db39ceaa53f2ad6, 0x3b419848016ad53c7aaa29602b85580c499016ceb49ccf8496f7e9b3f413d4df),
            (0x171cad3d3e6e7a153ff12d86ee56a01505acc1ee38fb9a11b68abfa5ad1a1e46, 0x37343f7a56d7e180ddd2ae2ca4301d5128becaec07cafcad1b7d3610e49f453d),
            (0x207970fdc943d5b65689b132d27fdc46ed25c8d84042acf0e855c8bb00a60f2b, 0x364ad7be4b0b40da9d5df01c50967ee14cabc8bd669872613c1d62ad1f52f38b),
            (0x19a1a3391e950797dbb98811f2ba3b4622147959449f9cb1c7f454aa047afe76, 0x079ae13ad5b0083006b06de42808f517d9797e5f42fc87a9947c761fa8784fea),
            (0x08035a60101d47769ed0a30ce647c0e5d5c7850f1630247af48f351c7ac5b6e7, 0x3b0c43b451b947f7adbffa12d9e4c7ca94ac5c12eda34cee77b640f25a42d04b),
            (0x116e9d6aef40f13742fb573a0779c99f5a12f59fab1246d64a55d94e3856800c, 0x0d595f9d79e749dbd9d69ca28b15f80a17b5312be520568e1f959f1b958bf1aa),
            (0x3bf0f0b99e15ad38e2d9d5a9e12aa428f55db0cb878e058ea592eee7d16edfb4, 0x32a0e3bb91ab0ee8f25ab4d8f93782724cd68675e823e66369f0c6a36ece62d8),
            (0x2cdb9602b74f420b08e5307df902d13340d3b1b53d081b110149e01d731dd862, 0x0b7b5bbb0b5b19148a410ce3c2625364660d100aad28542e75282ff7cc5926a7),
            (0x20dc0d54e1617ea5a6251e447e06e8a98030d79b426bbe946fe960f85550efa8, 0x25f833bd3ee582088cf25891465c3908192d77eca169f8c7d3d373fd12c2fade),
            (0x21d210b41675a1eae44cbd0f3fd27d69e30716c71873f6089cee61acacd403ab, 0x2275e97c7e84f68bfaa528a9d8be4e059f7abefd80d03fbfca774e8414a9b7c1),
            (0x0f9e7de28e0f650d99d99d95c0fcd39c9dac9db5aa1973319f66922d6eb9f7d5, 0x1ba644ecc18ad711ddd33af7f695f6834e9f35c93d47a6a5273dabbe800fc7e6),
            (0x0aab3ab73afac76277cd94a891de15e42ceb09f3a9865dab5c814bebfbb4453f, 0x27119fec3736d99abeeef1ad7b857db7e754e0c158780ed3dd0cdd4dc2453e10),
        ],
    },
}