The game uses a specific mathematical model to determine outcomes. Since this is an unofficial site, always verify the current rules directly with the operator before playing.
Four fair coefficients and five distinct inputs
Draw four independent uniform coefficients a0,a1,a2,a3 from0..4. Evaluate P(x)=a0+a1*x+a2*x²+a3*x³ modulo5 at all FIVE field values x=0,1,2,3,4. Raw score counts distinct input values giving zero, not root multiplicity or matrix rank. One whole captured stake prices the entire coefficient draw; no row shares apply.
A zero constant coefficient does not force score zero. P(x)=x has one root at0 and scores1; P(x)=x² also has one distinct root, not two. A nonzero constant polynomial, such as P(x)=1, has no roots and scores0. The all-zero polynomial has five roots and scores5.
The coefficient tuple(0,0,1,0) gives x² and scores1 because only x=0 vanishes modulo5. Tuple(1,0,0,0) gives a nonzero constant and scores0. Tuple(0,0,0,0) scores5. Each evaluation is automatic; players do not select roots, coefficients or settlement time.
The exact histogram is score0:204,1:260,2:120,3:40,5:1. Score4 never occurs. There are421 positive-score tuples. Every mode preserves positive-score frequency. A positive gross credit may be smaller than captured stake. New coefficient draws are independent of earlier results.
For p=1,2,3, gross multiplier=0.96*rawScore^p/mean(rawScore^p). Exact unconditional means are1,1.8 and3.88. Each mode has96% expected unrounded gross credit, not net profit, winning frequency or a guaranteed wallet. Zero stays zero. Powers are not multiplication by two or three; raw score is not directly paid.
Stake and mode are captured before coefficients are drawn; stake is debited upfront. Settlement lasts480ms. Settings and refill lock during settlement and any active Auto queue. Auto schedules at most ten rounds with enough balance. Stop cancels future launches while the current round settles. No early cashout or player-selected coefficients exist.
A new browser wallet starts at 1000 virtual coins. Settled integer balance and fractional payout carry are saved in localStorage. A gross credit is added to any saved fraction; the integer part is credited and the remaining fraction is carried forward. These coins have no cash value, deposits, withdrawals or prizes. Storage belongs to this browser and origin, not to an account or an external payment balance.
Only an idle balance below ten offers Free refill. Clicking it sets the balance to 1000; it does not add 1000 to the existing balance. The fractional carry is preserved. Refill is unavailable during settlement or an active automatic queue. Changing the stake cannot force a refill while the balance is ten or more. A previously saved zero balance remains zero after reload until the user clicks the available refill.
Reload preserves saved balance and fractional carry when browser storage remains available. A draw debits its stake before the short settlement animation: leaving or reloading during that unfinished animation can discard its pending credit. Reload after settlement preserves the completed result. Clearing cache alone may not delete localStorage; removing site storage can erase the wallet. Private browsing and browser settings can change storage availability and retention.
What Indian Players Should Check
For readers in India, understanding the local context is key. TK999US uses virtual coins, so no real currency like INR is directly involved in the demo play. However, you should check if the operator supports common Indian payment methods like UPI, Paytm, or PhonePe for any future real-money versions.
Also, verify the regulatory status. Gambling laws in India differ by state, so ensure online gaming is permitted in your region. For safety, check how the operator handles your data and privacy. Use this list to guide your checks:
- Confirm if UPI, Paytm, or PhonePe are supported for deposits.
- Check if the operator holds a valid licence for your specific state.
- Review the privacy policy for data usage in India.
Captured whole stake and settlement locks
Stake and mode are captured before coefficients are drawn; stake is debited upfront. Settlement lasts480ms. Settings and refill lock during settlement and any active Auto queue. Auto schedules at most ten rounds with enough balance. Stop cancels future launches while the current round settles. No early cashout or player-selected coefficients exist.
Requests and privacy limits
The game needs no login or personal-data form. That does not mean no personal data is processed. Pages request Google Fonts and a Statinside counter; hosting, CDN and third-party requests may expose IP addresses, device information, URLs and request times. Exact retention periods, cookie lifetimes, linking practices and anonymity have not been independently established here. We make no promise that technical data cannot identify or be linked to a person.
Frequently asked questions
TK999US query and our own simulator?
TK999US is a search subject. No operator, official address, app, licence, financial service or support is established by this guide. Five Field Roots is our original virtual-coin simulator, not outside software testing or preparation for money play.
Four fair coefficients and five distinct inputs?
Draw four independent uniform coefficients a0,a1,a2,a3 from0..4. Evaluate P(x)=a0+a1*x+a2*x²+a3*x³ modulo5 at all FIVE field values x=0,1,2,3,4. Raw score counts distinct input values giving zero, not root multiplicity or matrix rank. One whole captured stake prices the entire coefficient draw; no row shares apply.
Zero coefficient is not a nonzero constant polynomial?
A zero constant coefficient does not force score zero. P(x)=x has one root at0 and scores1; P(x)=x² also has one distinct root, not two. A nonzero constant polynomial, such as P(x)=1, has no roots and scores0. The all-zero polynomial has five roots and scores5.
Repeated roots count once?
The coefficient tuple(0,0,1,0) gives x² and scores1 because only x=0 vanishes modulo5. Tuple(1,0,0,0) gives a nonzero constant and scores0. Tuple(0,0,0,0) scores5. Each evaluation is automatic; players do not select roots, coefficients or settlement time.
Exact normalization for each power?
For p=1,2,3, gross multiplier=0.96*rawScore^p/mean(rawScore^p). Exact unconditional means are1,1.8 and3.88. Each mode has96% expected unrounded gross credit, not net profit, winning frequency or a guaranteed wallet. Zero stays zero. Powers are not multiplication by two or three; raw score is not directly paid.
Is TK999US legal in India?
Gambling laws in India vary by state. TK999US is an independent demo site. Check with the operator and your local state laws to confirm legality.
Do I pay with INR?
No, this demo uses virtual coins. If you play for real money later, check if the operator accepts UPI, Paytm, or PhonePe.