Summary of Significant Accounting Policies (Tables) - Spartacus Acquisition Corp [Member]

5 Months Ended

9 Months Ended

Dec. 31, 2020

Sep. 30, 2021

Summary of Significant Accounting Policies (Tables) [Line Items]

Schedule of assets and liabilities that were measured at fair value on a recurring basis

Description	December 31, 2020		Quoted Prices in Active Markets (Level 1)		Significant Other Observable Inputs (Level 2)		Significant Other Unobservable Inputs (Level 3)
Assets:
U.S. Money Market held in trust Account		5,071		5,071		__		__
U.S. Treasury Securities held in Trust Account		203,023,911		203,023,911		—		—
Cash and marketable securities held in Trust Account	$	203,028,982	$	203,028,982	$	—	$	—
Liabilities:
Warrant Liability – Public Warrants	$	11,200,000	$	11,200,000	$	—	$	—
Warrant Liability – Private Placement Warrants	$	11,812,500	$	—	$	—	$	11,812,500

Description	September 30, 2021		Quoted Prices in Active Markets (Level 1)		Significant Other Observable Inputs (Level 2)		Significant Other Unobservable Inputs (Level 3)
Liabilities:
Warrant Liability – Public Warrants	$	15,900,000	$	15,900,000	$	—	$	—
Warrant Liability – Private Placement Warrants	$	16,012,500	$	—	$	—	$	16,012,500

Description	December 31, 2020		Quoted Prices in Active Markets (Level 1)		Significant Other Observable Inputs (Level 2)		Significant Other Unobservable Inputs (Level 3)
Liabilities:
Warrant Liability – Public Warrants	$	11,200,000	$	11,200,000	$	—	$	—
Warrant Liability – Private Placement Warrants	$	11,812,500	$	—	$	—	$	11,812,500

Schedule of fair value measurements for both the public and private placement

Public Warrants	At October 19, 2020 (Initial Measurement)
Stock Price	$	9.46
Strike Price	$	11.50
Term (in years)		7.0
Volatility (pre/post business combination)		10%/22%
Risk-free rate		0.3%
Dividend yield		0.0%
Redemption price		18.00
Fair value of warrants	$	1.05

Private Placement Warrants	As of December 31, 2020		At October 19, 2020 (Initial Measurement)
Stock price	$	10.06	$	9.46
Strike price	$	11.50	$	11.50
Term (in years)		7.0		7.0
Volatility (pre/post business combination)		10%/25%		10%/22%
Risk-free rate		0.4%		0.3%
Dividend yield		0.0%		0.0%
Redemption Price	$	—	$	—
Fair value of warrants	$	1.35	$	1.09

Private Placement Warrants	As of September 30, 2021			As of December 31, 2020
Stock price	$	10.12		$	10.06
Strike price	$	11.50		$	11.50
Term (in years)		5.1			6.3
Volatility (pre/post business combination)		12	%/26%		10	%/25%
Risk-free rate		1.0	%		0.4	%
Dividend yield		0.0	%		0.0	%
Probability of business combination		95	%		85	%
Redemption Price	$	—		$	—
Fair value of warrants	$	1.83		$	1.35

Schedule of changes in fair value of warrant liabilities

	Private Placement		Public		Warrant Liabilities
Fair value as of August 20, 2020	$	—	$	—	$	—
Initial measurement on October 19, 2020		9,537,500		10,500,000		20,037,500
Change in valuation inputs or other assumptions		2,275,000		700,000		2,975,000
Fair value as of December 31, 2020	$	11,812,500	$	11,200,000	$	23,012,500

	Private Placement		Public		Warrant Liabilities
Fair value as of December 31, 2020	$	11,812,500	$	11,200,000	$	23,012,500
Change in fair value of warrant liability		4,200,000		4,700,000		8,900,000
Fair value as of September 30, 2021	$	16,012,500	$	15,900,000	$	31,912,500

Schedule of weighted average number of non-redeemable

	For the Year ended December 31, 2020
Common stock subject to possible redemption
Numerator: Net income allocable to Class A common stock subject to possible redemption
Amortized Interest income on marketable securities held in trust	$	24,142
Less: interest available to be withdrawn for payment of taxes		(24,142	)
Net income allocable to Class A common stock subject to possible redemption	$	—
Denominator: Weighted-Average Redeemable Class A common stock
Redeemable Class A Common Stock, Basic and Diluted		8,663,166
Basic and Diluted net income per share, Redeemable Class A Common Stock	$	0.00
Non-Redeemable Common Stock
Numerator: Net Income minus Redeemable Net Earnings
Net Loss	$	(3,733,764	)
Redeemable Net Earnings		—
Non-Redeemable Net Loss	$	(3,733,764	)
Denominator: Weighted-Average Non-Redeemable Common Stock
Basic and diluted weighted-average shares outstanding, common stock		6,546,624
Basic and diluted net loss per share, common stock	$	(0.57	)

	Three Months Ended September 30, 2021			Nine Months Ended September 30, 2021
Class A Common stock subject to possible redemption
Numerator: Net loss allocable to Class A common stock subject to possible redemption	$	(6,357,008	)	$	(9,910,316	)
Denominator: Weighted Average Redeemable Class A common stock Basic and Diluted weighted average shares outstanding		20,000,000			20,000,000
Basic and Diluted net loss per share, Redeemable Class A Common Stock	$	(0.32	)	$	(0.50	)
Non-Redeemable Class B Common Stock
Numerator: Net loss allocable to non-redeemable Class B common stock	$	(1,589,252	)	$	(2,477,579	)
Denominator: Weighted Average Non-Redeemable Class B Common Stock Basic and diluted weighted average shares outstanding		5,000,000			5,000,000
Basic and diluted net loss per share, Non-Redeemable Class B common stock	$	(0.32	)	$	(0.50	)