For those who likes betting on football draws and like higher odds. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Ferrari for R. SoccerVital - football predictions Real Sociedad vs Mallorca Prediction: Match preview and expert tips for this Spain Primera Liga clash on Saturday 21st October 2023. Number of draws on Italy Serie A. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Disclaimer: Soccervital is strictly an information-based website. Betway. 188Bet. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Games take. Disclaimer: Soccervital is strictly an information-based website. 32% of games finish as draw. SoccerVital - football predictions Union Berlin vs VfB Stuttgart Prediction: Match preview and expert tips for this Germany Bundesliga I clash on Saturday 21st October 2023. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. AFC Wimbledon vs Cheltenham Prediction: Match preview and expert tips for this England FA Cup clash on Saturday 4th November 2023. C. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. SoccerVital provides football predictions for today, tomorrow, and the weekend. Disclaimer: Soccervital is strictly an information-based website. Soccer Vital predictions are well analyzed, ensuring the reliability of these tips. Disclaimer: Soccervital is strictly an information-based website. Stay in the pulse of the action with Soccervital's Live Scores page. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. EveryGame. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Disclaimer: Soccervital is strictly an information-based website. Disclaimer: Soccervital is strictly an information-based website. Games over 2. Venezuela. Disclaimer: Soccervital is strictly an information-based website. Atalanta vs SK Sturm Graz Prediction: Match preview and expert tips for this UEFA Europa League clash on Thursday 9th November 2023. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Don't miss out on key insights and analysis. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. From match breakdowns to deep dives into football's fascinating intricacies, stay informed and engaged with our trusted football articles. Disclaimer: Soccervital is strictly an information-based website. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Disclaimer: Soccervital is strictly an information-based website. Disclaimer: Soccervital is strictly an information-based website. Stay in the pulse of the action with Soccervital's Live Scores page. Disclaimer: Soccervital is strictly an information-based website. Castellanos 81’ L. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. SoccerVital - football predictions Lincoln City vs Morecambe Prediction: Match preview and expert tips for this England FA Cup clash on Saturday 4th November 2023. Disclaimer: Soccervital is strictly an information-based website. Number of goals in average on Japan J2-League. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Don't miss out on key insights and analysis. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Disclaimer: Soccervital is strictly an information-based website. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Explore our Bet of the Day. Disclaimer: Soccervital is strictly an information-based website. Don't miss out on key insights and analysis. Number of draws on USA USL Championship. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Don't miss out on key insights and analysis. 7 on Independiente Petrolero (1. Disclaimer: Soccervital is strictly an information-based website. SoccerVital - football predictions Zenit Saint Petersburg vs Fakel Voronezh Prediction: Match preview and expert tips for this Russia Premier League clash on Sunday 13th August 2023. 20Bet. MTK Budapest. Disclaimer: Soccervital is strictly an information-based website. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Atletico Fenix Montevideo. Disclaimer: Soccervital is strictly an information-based website. 5 it's 51% of all games. Disclaimer: Soccervital is strictly an information-based website. Soccer Vista lets you find soccer/football statistics, betting picks on soccer, information and predictions for football betting to help you make the best betting decisions. Disclaimer: Soccervital is strictly an information-based website. Don't miss out on key insights and analysis. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Brown for K. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Mulattieri for A. Disclaimer: Soccervital is strictly an information-based website. 22% of games finish as draw. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. 41 goals per game. Iglesias 46’ A. 36’ Eder 46’ G. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. SoccerVital - football predictions TSG Hoffenheim vs Eintracht Frankfurt Prediction: Match preview and expert tips for this Germany Bundesliga I clash on Saturday 21st October 2023. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. 78 goals per game. Mantova. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Disclaimer: Soccervital is strictly an information-based website. Brorsson 46’ L. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. It considers factors like team performance, player statistics, and past match results to generate predictions. SoccerStats247 offers free daily soccer predictions for matches played all around the world. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Number of games with three or more goals. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Disclaimer: Soccervital is strictly an information-based website. Tips with higher odds. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Disclaimer: Soccervital is strictly an information-based website. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. SoccerVital - football predictions Peterborough vs Lincoln City Prediction: Match preview and expert tips for this England League 1 clash on Saturday 7th October 2023. Number of games with three or more goals. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Disclaimer: Soccervital is strictly an information-based website. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Don't miss out on key insights and analysis. ReloadBet. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. FC Turon Yaypan. Advertising. Don't miss out on key insights and analysis. Disclaimer: Soccervital is strictly an information-based website. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Perez for B. Disclaimer: Soccervital is strictly an information-based website. BK Hacken vs FK Qarabag Prediction: Match preview and expert tips for this UEFA Europa League clash on Thursday 5th October 2023. Disclaimer: Soccervital is strictly an information-based website. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Disclaimer: Soccervital is strictly an information-based website. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. PSG vs Marseille Prediction: Match preview and expert tips for this France Ligue 1 clash on Sunday 24th September 2023. Don't miss out on key insights and analysis. Disclaimer: Soccervital is strictly an information-based website. Disclaimer: Soccervital is strictly an information-based website. It's 2. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Don't miss out on key insights and analysis. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Discover exclusive articles offering expert analysis, insights, and game-day tips. 5 it's 60% of all games. Disclaimer: Soccervital is strictly an information-based website. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. 5 it's 54% of all games. M. Odds - All odds are in European format (decimal odds), but you can change it in the settings, you have on your disposal decimal,american and fractional odds. Tips with higher odds. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. For those who likes betting on football draws and like higher odds. 19:00. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Games over 2. Special offers from bookmakers - visit above links to claim bonus. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Don't miss out on key insights and analysis. Don't miss out on key insights and analysis. 59) Bolivia Clausura. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. SoccerSTATS. Carboni 53’ J. 21% of games finish as draw. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Monza vs Salernitana Prediction: Match preview and expert tips for this Italy Serie A clash on Sunday 8th October 2023. SportPesa Jackpot. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Disclaimer: Soccervital is strictly an information-based website. SoccerVista recommended football bets. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. 47) World World Championship 2026. Slavia Prague vs Sheriff Tiraspol Prediction: Match preview and expert tips for this UEFA Europa League clash on Thursday 5th October 2023. Don't miss out on key insights and analysis. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Check out our soccer predictions for Friday, 17th of November 2023. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. score tip - 1:0. Fiorentina vs Cagliari full stats. Don't miss out on key insights and analysis. Disclaimer: Soccervital is strictly an information-based website. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. ReloadBet. Borussia M'gladbach vs Heidenheim Prediction: Match preview and expert tips for this Germany Bundesliga I clash on Saturday 28th October 2023. Palma for Yang Hyun-Jun 62’ C. Don't miss out on key insights and analysis. Andijan. Torino vs Verona Prediction: Match preview and expert tips for this Italy Serie A clash on Monday 2nd October 2023. EveryGame. Disclaimer: Soccervital is strictly an information-based website. 31 goals per game. Disclaimer: Soccervital is strictly an information-based website. Games over 2. Nacional De Football. Colpani 76’ Papu Gomez for G. Don't miss out on key insights and analysis. Disclaimer: Soccervital is strictly an information-based website. Don't miss out on key insights and analysis. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Don't miss out on key insights and analysis. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Guendouzi for Luis Alberto 72’ P. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. 15:00. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Disclaimer: Soccervital is strictly an information-based website. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. 7 on Andijan (2. Disclaimer: Soccervital is strictly an information-based website. Disclaimer: Soccervital is strictly an information-based website. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Stay informed about 17-11-2023 games. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Isaksen for Felipe Anderson 68’ M. Disclaimer: Soccervital is strictly an information-based website. 1) Serbia Prva Liga. Disclaimer: Soccervital is strictly an information-based website. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. NOTE: Lorette Soccer players please contact lorettesoccer@gmail. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. From kick-off to the final whistle, we bring you up-to-the-minute score updates from soccer matches around the globe. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Zimbabwe. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Don't miss out on key insights and analysis. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Disclaimer: Soccervital is strictly an information-based website. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. The latest football predictions from Soccer Vital offer analyses, match previews, insights, and tips. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Number of games with three or more goals. Fiorentina vs Cagliari full stats. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Portugal Primeira Liga facts (last 90 games) Home team wins in average 43% of the games played at home. Gain a deeper understanding of the game through our soccer predictions. Disclaimer: Soccervital is strictly an information-based website. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. SoccerVista. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Borussia Mgladbach. Disclaimer: Soccervital is strictly an information-based website. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. 00:30. Rodriguez for A. Home team wins in average 51% of the games played at home. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Cukaricki. Disclaimer: Soccervital is strictly an information-based website. Castillejo for Matheus HenriqueDisclaimer: Soccervital is strictly an information-based website. 13:15. Disclaimer: Soccervital is strictly an information-based website. Disclaimer: Soccervital is strictly an information-based website. 27% of games finish as draw. Disclaimer: Soccervital is strictly an information-based website. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Number of draws on England Championship. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Maccabi Haifa vs Villarreal Prediction: Match preview and expert tips for this UEFA Europa League clash on Thursday 9th November 2023. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Number of goals in average on Turkey 1 Lig. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. SoccerVital - football predictions Carlisle vs Burton Albion Prediction: Match preview and expert tips for this England League 1 clash on Tuesday 24th October 2023. 188Bet. Disclaimer: Soccervital is strictly an information-based website. Don't miss out on key insights and analysis. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Toulouse vs Liverpool Prediction: Match preview and expert tips for this UEFA Europa League clash on Thursday 9th November 2023. Disclaimer: Soccervital is strictly an information-based website. Castellanos for C. Don't miss out on key insights and analysis. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Number of games with three or more goals. 02:00. Disclaimer: Soccervital is strictly an information-based website. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. It's 2. Don't miss out on key insights and analysis. Uzbekistan Super League. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Turkey 1 Lig facts (last 90 games) Home team wins in average 39% of the games played at home. Don't miss out on key insights and analysis. Disclaimer: Soccervital is strictly an information-based website. Disclaimer: Soccervital is strictly an information-based website. Disclaimer: Soccervital is strictly an information-based website. Argentina. Disclaimer: Soccervital is strictly an information-based website. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Number of games with three or more goals. Number of draws on Japan J2-League. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. From expert predictions and tips to the latest results and performance. Italy Serie B facts (last 90 games) Home team wins in average 30% of the games played at home. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. 5 it's 51% of all games. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Home team wins in average 51% of the games played at home. Disclaimer: Soccervital is strictly an information-based website. SoccerVital. 22Bet. Disclaimer: Soccervital is strictly an information-based website. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Disclaimer: Soccervital is strictly an information-based website. It's 3. SoccerVital - football predictions Girona vs Almeria Prediction: Match preview and expert tips for this Spain Primera Liga clash on Sunday 22nd October 2023. Our aim is to provide accurate and valuable information to soccer and statistics and therefore it is a publisher of information and does not accept any form of gambling,. Don't miss out on key insights and analysis. 5 it's 77% of all games. Disclaimer: Soccervital is strictly an information-based website. Don't miss out on key insights and analysis. Disclaimer: Soccervital is strictly an information-based website. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Furuhashi 29’ M. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. Disclaimer: Soccervital is strictly an information-based website. We do not offer gambling services, nor do we provide any opportunities to win real money or prizes. SoccerVital - football predictions Clermont Foot vs Metz Prediction: Match preview and expert tips for this France Ligue 1 clash on Sunday 27th August 2023. Real Sociedad vs Mallorca Prediction: Match preview and expert tips for this Spain Copa del Rey clash on Tuesday 17th January 2023. Use them as single bets. 4 on Draw (3) 02:00. Disclaimer: Soccervital is strictly an information-based website. 12’ K. This saga is more than just a transfer story; it's about the aspirations of a.