TK999US: 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.

Enumeration of all625 coefficient tuples checks Five Field Roots and its normalization only. It does not establish outside identity, apps, privacy, licences, financial capacity or legal permission. Similar names, URLs, logos, HTTPS and support replies do not independently prove such claims.

This website supplies no APK, installation package or verified BossPay app listing. The simulator works in the browser without installing separate software. File names, download counts, a padlock or a virus scan do not prove the identity or safety of a file. An unresolved publisher or source is a reason to leave a download uninstalled, not to disable device protections. We do not recommend a package or provide installation instructions.

The guide processes no deposits, withdrawals or cash prizes. No outside bank, method, fee, recipient, timing, identity requirement or support is established for TK999US. Virtual refill does not test banking interfaces.

The interface is intended for people aged 18 or older. This site restriction is not a statement of a universal legal gambling age, a licence or permission to use another service. Any question about a particular real-money activity requires current local law and the exact facts about the service and user. This guide has not verified those facts and does not give legal advice.

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.