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Fair Value Accounting - Changes in Fair Value Included in Consolidated Statements of Income (Details) - USD ($) $ in Thousands | 12 Months Ended
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Dec. 31, 2023 | Dec. 31, 2022 | Dec. 31, 2021
Fair Value Disclosures [Abstract] |  |  |
Mortgage loans held for sale | $ 839 | $ (1,541) | $ (3,942)
Fair value | 47,338 | 51,136 | 108,198
Unpaid principal balance | 45,627 | 50,264 | 105,785
Fair value less aggregate unpaid principal balance | $ 1,711 | $ 872 | $ 2,413

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- Definition Changes in the fair value of mortgage loans held for sale that were included in the consolidated statements of income during the reporting period. + References No definition available. + Details
Name: | syn_ChangeInMortgageLoansHeldForSaleIncludedInNetIncome
Namespace Prefix: | syn_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Definition Fair value option, aggregate unpaid principal balance of mortgage loans held for sale. + References No definition available. + Details
Name: | syn_FairValueOptionAggregateUnpaidPrincipalBalanceOfMortgageLoansHeldForSale
Namespace Prefix: | syn_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- References No definition available. + Details
Name: | us-gaap_FairValueDisclosuresAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition This item represents the difference between the aggregate fair value and the aggregate unpaid principal balance of long-term debt instruments that have contractual principal amounts and for which the fair value option has been elected. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 825 -SubTopic 10 -Section 50 -Paragraph 28 -Subparagraph (d)(2) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482907/825-10-50-28 + Details
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Namespace Prefix: | us-gaap_
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Balance Type: | credit
Period Type: | instant

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- Definition Fair value portion of mortgage loans held-for-sale. + References No definition available. + Details
Name: | us-gaap_MortgagesHeldForSaleFairValueDisclosure
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant