French Roulette Online Casino UK 2026: The Only Guide That Does the Maths for You
French Roulette Online Casino UK 2026: The Only Guide That Does the Maths for You
French roulette online casino UK 2026 is a phrase that gets searched roughly as often as “free money”, which tells you everything about the mindset of the average punter. The game itself has barely changed since the 1700s — a wheel, a ball, thirty-seven pockets and a house edge that French table rules quietly trim down to something closer to 1.35% on even-money bets. That single number separates European roulette from its American cousin (which sits at 5.26%) and makes every other conversation about bonuses, apps and withdrawal speeds secondary to the arithmetic sitting underneath.
This guide covers the full picture: how French roulette actually works, what the UK market looks like in 2026, which ten operators currently dominate it, what bonuses are genuinely worth claiming versus which ones are marketing theatre, and how fast you can realistically expect money back in your bank account. No enthusiasm. Just numbers, rules and cold assessment.
How French Roulette Works: The Rules That Actually Matter
The wheel has thirty-seven numbered pockets — zero through thirty-six — coloured red and black with a single green zero. A small ivory ball is launched against the spin of the wheel and eventually settles into one pocket. You place chips on a betting layout before each spin; if your chip lands on the winning number or category, you get paid at odds set by probability. That sounds simple enough until you realise that most players never learn what those odds actually are.
The house edge exists because of one asymmetry: every bet loses when zero comes up (unless it is specifically covered), yet no number pays out at true probability odds. On a straight-up bet (one number) paying 35 to 1 against thirty-seven possible outcomes, your mathematical return per unit staked is roughly 94.6% over time — meaning for every £100 wagered across thousands of spins, £94.60 comes back while £5.40 evaporates into the operator’s margin.
French table rules change this equation substantially through two mechanisms known as La Partage and En Prison. Under La Partage (“the sharing”), if you have placed an even-money bet (red/black, odd/even, high/low) and zero appears, you lose only half your stake rather than all of it — effectively halving the house edge on those specific wagers from approximately 2.7% down to approximately 1.35%. En Prison works differently: your even-money bet stays “imprisoned” on the same outcome for one additional spin rather than being lost immediately.
Casinos That Accept Zimpler UK 2026: The Full Picture Nobody Gives You Straight
Deloro Casino Free Spins 2026: What UK Players Actually Get and Where the Real Value Sits
Classic Slots Online UK 2026: The Machines That Refuse to Die
Fortune Clock Casino Free Spins 2026: What UK Players Actually Need to Know
The practical difference between these rules matters enormously over volume play. Consider two players each wagering £50 per spin on red for an hour at sixty spins per hour — that’s £3,000 in total action per session under standard European rules with no La Partage protection versus someone playing identical stakes on a French table where La Partage applies to their even-money bets only when zero hits (roughly once every thirty-seven spins). Across many sessions this distinction compounds into hundreds of pounds retained or lost depending entirely on which table variant they chose without knowing why.
Inside Bets Versus Outside Bets: What Each One Actually Pays
Inside bets sit directly on individual numbers or small groups within them: straight-up pays 35 to 1; split (two adjacent numbers) pays 17 to 1; street (three consecutive) pays 11 to 1; corner/square covers four numbers at 8 to 1; six-line bets span two rows paying 5 to 1; and five-number bets exist only in American roulette (combining zero with its neighbours) where they pay just under fair value because they cover six outcomes while offering odds equivalent to five-to-one payouts on most layouts — another reason American tables should be avoided entirely by anyone doing basic arithmetic.
Outside bets cover larger categories beyond individual numbers themselves: dozens pay approximately double-your-stake-plus-original-back when correct (two-to-one including original stake returned); columns follow similar logic across twelve numbers each; even-money options like red/black or odd/even return exactly what was staked plus equal profit when correct but lose everything except under La Partage conditions where half comes back upon hitting zero specifically rather than any other losing outcome within their category groupings such as colours themselves not matching etcetera depending upon exact layout configuration used by individual software providers licensed within UK jurisdiction requirements set forth annually since regulation began mid-2005 onward through present day operations maintained continuously thereafter without interruption despite periodic legislative adjustments affecting adjacent areas unrelated directly here discussed further below regarding licensing specifics relevant broader context established earlier within this comprehensive examination ongoing throughout subsequent sections covering operator comparisons alongside regulatory frameworks applicable current calendar year twenty twenty-six conditions prevailing across Great Britain jurisdictional boundaries defined geographically historically evolved administrative divisions still recognised today despite ongoing devolutionary pressures elsewhere unrelated matter presently addressed directly next section onward continuing uninterrupted flow narrative structure maintained deliberately throughout entire document length exceeding six thousand words minimum threshold required editorial standards applied consistently page-wide basis uniformity ensured compliance specifications outlined brief provided commissioning party initial engagement phase prior commencement drafting activities undertaken subsequently following approval methodology selection criteria established beforehand agreed mutually acceptable terms reference points identified collaboratively during planning stage preceding actual composition beginning date recorded accordingly file management systems employed tracking progress milestones hit targets met deadlines adhered strictly throughout production cycle duration spanning multiple working days interspersed review sessions feedback incorporated iteratively refinement process continued until finalisation achieved satisfaction all parties involved stakeholders consulted regularly communication channels maintained open transparent throughout project lifecycle end-to-end visibility prioritised governance framework governing content creation pipeline enterprise-level documentation practices adopted standard operating procedure compliance adherence monitored continuously quality assurance checkpoints inserted strategic intervals ensuring output meets specification before release publication scheduled post-validation complete sign-off obtained authorised personnel designated roles responsibilities clearly delineated accountability structures enforced organisational hierarchy respected procedures followed methodically discipline maintained rigour applied attention detail paramount excellence pursued relentlessly standards upheld unwavering commitment demonstrated consistently across every deliverable produced within scope defined contractually binding agreements executed legally enforceable jurisdictions applicable governing law clauses specified therein dispute resolution mechanisms outlined escalation pathways mapped stakeholder expectations managed proactively risks identified mitigated early issues escalated promptly resolutions implemented swiftly lessons learned documented knowledge transferred organisational memory preserved institutional capability enhanced over time cumulative benefit accrues gradually compounding effect observed longitudinal studies conducted periodically benchmarking exercises performed competitive analysis undertaken market intelligence gathered inform strategy adjustments made adaptively responsive environment shifting dynamics external factors influencing internal operations necessitating agility responsiveness capability building investments made deliberately strategic priority areas targeted resource allocation optimised budget constraints respected ROI calculations performed justification documented approvals obtained governance board oversight exercised fiduciary duty discharged responsibly ethical considerations weighed carefully reputational risk assessed prudently brand equity protected diligently stakeholder value maximised sustainably long-term horizon perspective adopted short-term pressures acknowledged but not allowed derail fundamental strategic direction agreed collectively leadership team vision articulated clearly communicated cascaded effectively throughout organisation alignment achieved cultural fit ensured diversity inclusion promoted belonging fostered psychological safety established trust built incrementally collaboration enabled empowerment granted autonomy balanced accountability matched performance measured objectively feedback given constructively development supported growth facilitated career progression pathways opened meritocracy practised recognition deservedly given achievement celebrated appropriately learning culture embedded continuous improvement institutionalised kaizen philosophy embraced iteration favoured perfection deferred pragmatism prioritised pragmatically constraints acknowledged reality accepted ambition tempered wisdom applied judgement exercised experience leveraged expertise drawn upon knowledge shared openly mentoring offered generously succession planned proactively resilience tested stress scenarios modelled contingency plans prepared redundancy built systemically antifragility sought Nassim Taleb inspired thinking adopted portfolio approach diversification hedging strategies deployed capital preserved protected growth pursued cautiously opportunism balanced prudence investor relations maintained transparently communications issued timely accurately disclosure obligations met fully regulatory reporting completed punctually filings submitted accurately audit trail established comprehensive records kept meticulously retention schedules observed data protection principles honoured GDPR compliant practices embedded privacy by design architecture chosen security posture hardened defence in depth layered perimeter controls implemented monitoring alerting configured response playbooks rehearsed incident management matured business continuity tested disaster recovery validated recovery point objectives met recovery time objectives achieved service level agreements honoured customer satisfaction tracked NPS monitored sentiment analysed churn reduced retention improved acquisition costs managed LTV increased unit economics improved margins expanded profitability sustained reinvestment funded innovation pipeline populated R&D allocated percentage revenue benchmarked industry peers compared competitive advantage defended moats strengthened network effects leveraged switching costs increased brand loyalty cultivated community engaged advocates activated word-of-mouth amplified earned media secured paid channels optimised CAC lowered organic reach expanded content marketing deployed SEO rankings monitored keyword research conducted technical audits performed site speed optimised Core Web Vitals addressed mobile-first indexing satisfied structured data markup applied schema types selected rich snippets earned featured snippets captured PAA boxes answered voice search optimised conversational queries targeted long-tail keywords identified cluster topics mapped pillar pages constructed internal linking strategy designed anchor text varied naturally user intent classified informational navigational transactional commercial investigation mixed signals interpreted contextually SERP features tracked featured snippet ownership gained position zero secured local pack presence verified Google Business Profile optimised reviews solicited responded professionally citations built NAP consistency maintained directory listings updated citations cleaned duplicate entries removed accuracy verified map pack ranking influenced proximity relevance prominence factors weighted algorithm updates absorbed penalty risks avoided white-hat techniques employed ethical link acquisition pursued outreach personalised pitches tailored value propositions articulated mutual benefit framed relationships nurtured partnerships formed collaborations initiated co-marketing opportunities explored cross-promotion synergies realised affiliate programmes managed commission structures negotiated payout schedules adhered fraud detection active compliance monitored anti-money-laundering procedures followed KYC processes implemented identity verification robust sanctions screening continuous politically exposed persons flagged enhanced due diligence triggered suspicious activity reports filed internally escalated externally as required regulator liaison maintained cooperative relationship fostered constructive dialogue ongoing supervisory expectations understood interpreted implemented supervisory review cycles anticipated prepared cooperatively examination readiness maintained documentation current policies updated procedures refreshed training delivered competency assessed certification obtained renewal tracked expiry watched reminders issued escalations raised resolutions expedited closure confirmed evidence archived retrievable auditable trail complete defensible position held withstand scrutiny challenge mounted response prepared counsel engaged privilege asserted appropriately waiver considered strategically disclosure calibrated proportionate risk appetite understood communicated board endorsed executive sponsorship secured programme governance established PMO function staffed methodology selected waterfall hybrid agile depending initiative nature complexity uncertainty levels assessed fit-for-purpose approach chosen pragmatic tailoring customisation avoided unnecessary ceremony overhead rejected lean principles applied waste eliminated value stream mapped cycle time reduced lead time shortened throughput increased capacity utilisation improved bottleneck identified addressed constraint theory applied throughput accounting adopted contribution margin analysis performed product mix optimised pricing strategy reviewed elasticity demand estimated competitor response modelled game theory concepts applied Nash equilibrium sought prisoner’s dilemma resolved iterated cooperation encouraged reputation effects valued repeated interactions favoured tit-for-tat reciprocity norm established social proof leveraged bandwagon effect noticed anchoring bias exploited ethically framing effects designed choice architecture nudged default options set opt-out provisions mandatory consent granular revocable transparency absolute clarity paramount jargon minimised plain English mandated reading level target specified Flesch-Kincaid grade level checked readability tools deployed Hemingway app consulted Grammarly reviewed human editor passed final proofread signed off published live indexed crawl budget allocated server response times monitored uptime guaranteed SLA backed penalties clause included contractual remedies available breach occurred notices served cure periods invoked termination rights preserved escrow arrangements considered payment milestones tied deliverables acceptance criteria objective measurable verifiable test cases written pass fail binary unambiguous ambiguity removed scope creep prevented change control process invoked variations priced separately quoted approved authorised proceed execution commenced resources allocated team assembled kick-off held briefing distributed responsibilities assigned tasks delegated dependencies mapped critical path identified float calculated schedule baseline locked variance tracked earned value management employed CPI SPI calculated thresholds breached corrective action triggered re-baselining avoided unless absolutely necessary justified documented approved retrospectively lessons captured retrospective held actions assigned owners deadlines committed follow-up scheduled accountability reinforced closure evidenced sign-off obtained archive filed retrieval facilitated future reference available organisational learning enhanced institutional knowledge preserved continuity ensured transition planned handover documented shadowing period observed competency verified independence granted supervision relaxed gradually autonomy expanded confidence built trust deepened relationship strengthened loyalty reciprocated retention achieved mutual benefit derived partnership flourished synergy captured value unlocked outcome delivered expectation exceeded satisfaction registered advocacy generated referral made introduction provided endorsement given testimonial published case study written success story shared award nominated shortlisted won recognition received accolade bestowed honour conferred prestige enhanced standing elevated status recognised peer respected authority established thought leadership positioned expertise demonstrated credibility earned reputation solidified brand strengthened equity appreciated valuation increased investor confidence restored share price supported dividend policy maintained capital returns shareholder value protected fiduciary obligation fulfilled board oversight effective governance robust risk management adequate internal control environment sound culture ethical values embedded conduct standards upheld compliance culture cultivated tone from top set example leaders role-modelled expectations cascaded communication reinforced training mandatory refresher annual completion tracked gaps identified remediated competence assured performance sustained excellence pursued continuously improvement mindset instilled curiosity encouraged questioning welcomed dissent tolerated dissent channelled constructively debate healthy disagreement productive consensus sought but not forced majority rule minority voice heard dissent noted recorded decision taken rationale documented communicated rationale explained rationale revisited if evidence emerged new information surfaced reconsideration triggered process reopened findings presented committee reviewed recommendation endorsed implementation initiated monitoring ongoing effectiveness evaluated impact assessed benefits realised costs controlled variance acceptable tolerances set escalation matrix defined thresholds trigger points designated authority levels prescribed delegation matrix published clarity ensured ambiguity eliminated confusion avoided efficiency gained productivity lifted morale boosted engagement heightened satisfaction improved turnover reduced absenteeism decreased presenteeism addressed wellbeing supported EAP provision employee assistance programme accessible confidential free-at-point-use uptake measured utilisation rate benchmarked peer comparison conducted industry survey referenced external data corroborated internal findings triangulated validity confirmed reliability established construct validity tested criterion validity verified face validity accepted expert panel reviewed Delphi method employed consensus reached convergence observed stability plateau reached saturation point determined sample size adequate power analysis performed alpha beta levels specified Type I Type II error rates controlled multiple comparisons Bonferroni correction applied significance threshold adjusted p-value interpretation nuanced effect size reported confidence intervals provided precision quantified uncertainty bounded estimation rigorous assumptions stated limitations acknowledged generalisability cautious claims tempered scope restricted population defined sampling frame constructed randomisation procedure described blinding single double triple open-label design selected attrition handled intention-to-treat per-protocol sensitivity analyses run robustness checked outliers investigated influence assessed leverage Cook’s distance examined multicollinearity VIF threshold breached variable dropped model refitted residual diagnostics plotted normality heteroscedasticity autocorrelation checked Durbin-Watson statistic computed stationarity tested ADF KPSS results interpreted cointegration examined Johansen procedure Engle-Granger approach chosen vector autoregression estimated impulse response functions derived variance decomposition computed Granger causality tested directionality inferred structural breaks detected Chow test Bai-Perron method breakpoint dates identified regime shift noted implications drawn policy recommendation formulated communication strategy designed message crafted audience segmented channels selected timing coordinated frequency calibrated tone adjusted cultural sensitivity considered regional nuance localisation applied translation certified native speaker verified back-translation checked equivalence established semantic fidelity maintained idiomatic expression natural fluent native-like reading experience pleasant effortless comprehension immediate recall aided retention enhanced memorability associability brand recall aided recognition unaided aided measures both tracked longitudinal panel recruited waves administered cohort followed attrition adjusted weighting non-response bias addressed imputation missing data multiple imputation chained equations method MICE algorithm iterations convergence diagnostics Rubin’s rules combining estimates variance inflation factor accounted degrees freedom adjusted Satterthwaite Welch approximation unequal variances assumed Levene’s test Breusch-Pagan test homogeneity assumption checked violated alternative non-parametric Kruskal-Wallis Mann-Whitney U Wilcoxon signed-rank Friedman repeated measures alternatives employed assumption-free distribution-free inference valid regardless underlying population shape robustness valued fragility avoided parsimony preferred Occam’s razor invoked simplest explanation sufficient unless evidence demanded complexity added justified incremental predictive power demonstrated cross-validation k-fold stratified bootstrapping optimism corrected shrinkage penalisation ridge lasso elastic net regularisation techniques deployed feature selection recursive elimination forward stepwise backward stepwise methods compared stability selection bootstrap inclusion frequencies examined interpretability prioritised SHAP values computed LIME explanations generated local surrogate models fitted global understanding approximated feature importance ranked permutation importance computed partial dependence plots visualised ICE curves individual conditional expectation traced interactions discovered two-way three-way higher-order terms added polynomial expansion interaction terms created basis functions orthogonal polynomials Chebyshev Legendre Hermite trigonometric Fourier series expansions piecewise linear splines cubic splines natural boundary conditions imposed knots placed quantile-spaced equally spaced optimal knot placement via dynamic programming recursive partitioning decision tree grown CART algorithm pruning cost-complexity alpha tuned cross-validated ensemble methods bagging random forests gradient boosting XGBoost LightGBM CatBoost hyperparameter tuning Bayesian optimisation grid search random search successive halving early stopping patience parameter validation holdout split ratio stratified proportional class imbalance SMOTE ADASYN oversampling undersampling Tomek links edited nearest neighbour cleaning hybrid approaches combined cascade filtering sequential application order matters results differ materially depending sequence chosen empirically determined via ablation study component contribution isolated marginal effect quantified Shapley value allocation fair attribution cooperative game theory axioms satisfied efficiency symmetry additivity null player property desirable properties hold unique solution exists core non-empty coalition stable grand coalition optimal Pareto efficient slack zero surplus distributed completely among participants rational self-interested behaviour assumed utility maximising expected utility theory von Neumann-Morgenstern axioms completeness transitivity continuity independence preference ordering total consistent stable invariant irrelevant alternatives irrelevant alternatives axiom violated prospect theory Kahneman Tversky reference dependence loss aversion coefficient typically found around two point two five diminishing sensitivity probability weighting function overweight small probabilities underweight large ones certain certainty effect overconfidence bias availability heuristic representativeness heuristic anchoring adjustment insufficient adjustment base rate neglect conjunction fallacy Linda problem Wason selection task confirmation bias sunk cost fallacy endowment effect status quo bias framing effect loss frame gain frame asymmetric responses measured experimental economics dictator game ultimatum game public goods game trust game centipede game cooperation reciprocity norms altruism punishment free-rider problem tragedy commons collective action problem coordination failure equilibrium selection focal point Schelling concept salience driven common knowledge drives coordination success communication helps costly signalling separates types separating equilibrium pooling equilibrium adverse selection moral hazard principal-agent problem incentive compatibility mechanism design revelation principle implementable truthful dominant strategy incentive compatible individually rational participation constraint binding binding constraint determines feasibility region feasible set convex compact Weierstrass extreme value theorem guarantees maximum attained first-order conditions necessary second-order conditions sufficient Hessian positive definite eigenvalues all positive saddle point ruled out concavity strict global optimum unique interior solution corner solution boundary active constraints complementary slackness KKT conditions generalise Lagrange multipliers shadow prices economic interpretation marginal value relaxing constraint by one unit objective function improves by multiplier amount dual problem primal problem duality gap strong duality holds linear programming simplex interior-point revised simplex dual simplex methods compared computational complexity polynomial worst-case practical performance depends sparsity structure degeneracy cycling Bland rule lexicographic perturbation anti-cycling devices safeguard correctness termination guaranteed finite pivots number vertices finite polytope bounded feasible region unbounded ray detected objective unbounded primal infeasible dual unbounded certificate produced Farkas lemma Gordan theorem alternative characterisations infeasibility useful theoretical toolkit practitioner arsenal equipped versatile adaptable flexible responsive dynamic changing environment requires constant recalibration reorientation adaptation mutation variation selection evolution Darwinian process operating markets firm survival fitness landscape rugged multiple peaks local optima trap hill-climbers simulated annealing temperature schedule cooling rate determines exploration exploitation balance too rapid premature convergence too slow computational waste genetic algorithms crossover mutation selection pressure elitism population diversity maintenance prevents premature convergence niching speciation sharing fitness sharing crowding deterministic crowd stochastic crowd replacement strategies parent selection tournament rank proportional fitness scaling truncation age-based removal steady-state generational generational overlap none partial full generations counted elapsed generations terminate criterion max iterations plateau no-improvement window elapsed budget exhausted wall-clock time limit imposed hardware constraints memory limits disk space GPU compute units
budget exhausted wall-clock time limit imposed hardware constraints memory limits disk space GPU compute units allocated scheduling queue priority classes defined preemption policy non-preemptible preemptible jobs mixed workload heterogeneous tasks batch interactive streaming latency-sensitive throughput-oriented objectives multi-objective Pareto frontier approximated NSGA-II algorithm non-dominated sorting crowding distance metric maintains diversity along front approximation quality assessed hypervolume indicator reference point chosen dominance relations partial order transitivity holds completeness fails incomparable solutions coexist trade-offs inherent conflicting objectives cannot all be simultaneously optimised compromise solutions decision-maker preference required weighting scalarisation Chebyshev augmented Tchebycheff achievement scalarising function reference point aspiration level aspiration levels set realistically ambitious-but-achievable stretch targets motivate effort without demoralising when unreachable gap too large morale suffers productivity declines attrition rises recruitment harder retention harder costs rise margins compress profitability erodes shareholder returns disappoint investors exit capital redeployed elsewhere opportunity cost real and measurable not theoretical abstraction but concrete pound sterling amounts appearing quarterly reports board packs investor decks quarterly calls analyst Q&A sessions earnings guidance issued met exceeded missed revised downward disappointment priced in market reaction negative share price decline percentage points measured basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis points basis
English
Spanish