History of Salem numbers less than 1.3

        max(f.roots(RealIntervalField(400), multiplicities=False))'+Numbers:+- params:+    coefficients: 1,1,0,-1,-1,-1+  number: '1.176280818259917506544070338474035050693415806564695259830106347029688376548549962096830115581815395'+  comment: degree $10$; minimal polynomial $x^{10} + x^{9} - x^{7} - x^{6} - x^{5}+    - x^{4} - x^{3} + x + 1$; this is Lehmer's number.+- params:+    coefficients: 1,-1,1,-1,0,0,-1,1,-1,1+  number: '1.188368147508223588142960958629593594704704560062905688741453371291960641402174589475835098806796775'+  comment: degree $18$; minimal polynomial $x^{18} - x^{17} + x^{16} - x^{15} - x^{12}+    + x^{11} - x^{10} + x^{9} - x^{8} + x^{7} - x^{6} - x^{3} + x^{2} - x + 1$.+- params:+    coefficients: 1,0,0,-1,-1,0,0,1+  number: '1.200026523987391518902962100414601567240618151999851067924399839886073113442524096442461727884969910'+  comment: degree $14$; minimal polynomial $x^{14} - x^{11} - x^{10} + x^{7} - x^{4}+    - x^{3} + 1$.+- params:+    coefficients: 1,0,-1,0,0,0,0,-1+  number: '1.202616743688604261118295415948619045343949834969523043685309576726454065876365553772671080055182658'+  comment: degree $14$; minimal polynomial $x^{14} - x^{12} - x^{7} - x^{2} + 1$.+- params:+    coefficients: 1,0,0,0,-1,-1+  number: '1.216391661138265091626806311199463327722253606570570757560427065838312129461849594426379666709543954'+  comment: degree $10$; minimal polynomial $x^{10} - x^{6} - x^{5} - x^{4} + 1$.+- params:+    coefficients: 1,-1,0,0,0,0,0,0,-1,1+  number: '1.219720859040311844169606760414677944390415505541569678287974417873384645990839065835539320785162596'+  comment: degree $18$; minimal polynomial $x^{18} - x^{17} - x^{10} + x^{9} - x^{8}+    - x + 1$.+- params:+    coefficients: 1,0,0,-1,0,-1+  number: '1.230391434407224702790177938975279017566574489661756241401914236172813447853545416735984651662408529'+  comment: degree $10$; minimal polynomial $x^{10} - x^{7} - x^{5} - x^{3} + 1$.+- params:+    coefficients: 1,-1,0,0,0,-1,1,0,0,-1,1+  number: '1.232613548593121003962731694807909791411577371209831046729916582053839351373895703134978488530324922'+  comment: degree $20$; minimal polynomial $x^{20} - x^{19} - x^{15} + x^{14} - x^{11}+    + x^{10} - x^{9} + x^{6} - x^{5} - x + 1$.+- params:+    coefficients: 1,0,-1,-1,0,0,0,1,1,0,-1,-1+  number: '1.235664580389747308105169351531263479723510042746239077650438077206311924940278149889166074042638593'+  comment: degree $22$; minimal polynomial $x^{22} - x^{20} - x^{19} + x^{15} + x^{14}+    - x^{12} - x^{11} - x^{10} + x^{8} + x^{7} - x^{3} - x^{2} + 1$.+- params:+    coefficients: 1,-1,0,0,0,0,0,0,-1+  number: '1.236317931803230489899094869802054553944819208367869563794753784111836999567141563427243854365405562'+  comment: degree $16$; minimal polynomial $x^{16} - x^{15} - x^{8} - x + 1$.+- params:+    coefficients: 1,0,-1,0,0,-1,0,0,-1,0,1,0,0,1+  number: '1.237504821217490608171021829989092378856326086862049849963623164314795149153713239330116879323681527'+  comment: degree $26$; minimal polynomial $x^{26} - x^{24} - x^{21} - x^{18} + x^{16}+    + x^{13} + x^{10} - x^{8} - x^{5} - x^{2} + 1$.+- params:+    coefficients: 1,-1,1,-1,0,0,-1+  number: '1.240726423652541392056148161575665656805788554669818945154505874492081494833373347611149564568350540'+  comment: degree $12$; minimal polynomial $x^{12} - x^{11} + x^{10} - x^{9} - x^{6}+    - x^{3} + x^{2} - x + 1$.+- params:+    coefficients: 1,0,0,0,0,0,-1,-1,-1,-1+  number: '1.252775937410113900864582824053204309304769854195780259121070767220447361924730151351933663878789295'+  comment: degree $18$; minimal polynomial $x^{18} - x^{12} - x^{11} - x^{10} - x^{9}+    - x^{8} - x^{7} - x^{6} + 1$.+- params:+    coefficients: 1,0,-1,0,0,-1,0,0,0,0,0+  number: '1.253330650201489757028162788986138235892342419486482436157483570794348084059380473979534453277009941'+  comment: degree $20$; minimal polynomial $x^{20} - x^{18} - x^{15} - x^{5} - x^{2}+    + 1$.+- params:+    coefficients: 1,0,-1,-1,0,1,0,-1+  number: '1.255093516763722879173091003232857070130650899913269851336588823459118544428340951581671250107775401'+  comment: degree $14$; minimal polynomial $x^{14} - x^{12} - x^{11} + x^{9} - x^{7}+    + x^{5} - x^{3} - x^{2} + 1$.+- params:+    coefficients: 1,-1,0,0,-1,1,0,0,0,-1+  number: '1.256221154391670233067434043309669163943842183894362968698551997499450681251721148671121281918681872'+  comment: degree $18$; minimal polynomial $x^{18} - x^{17} - x^{14} + x^{13} - x^{9}+    + x^{5} - x^{4} - x + 1$.+- params:+    coefficients: 1,-1,0,0,-1,1,0,-1,1,-1,0,1,-1+  number: '1.260103540354990920321649852331678168961999664904333174814990287796601346085108215017984119208171229'+  comment: degree $24$; minimal polynomial $x^{24} - x^{23} - x^{20} + x^{19} - x^{17}+    + x^{16} - x^{15} + x^{13} - x^{12} + x^{11} - x^{9} + x^{8} - x^{7} + x^{5} -+    x^{4} - x + 1$.+- params:+    coefficients: 1,-1,0,-1,1,0,0,0,-1,1,-1,1+  number: '1.260284236896492963739228435283866365638551287842634180725403343395901937301970465990247417973123276'+  comment: degree $22$; minimal polynomial $x^{22} - x^{21} - x^{19} + x^{18} - x^{14}+    + x^{13} - x^{12} + x^{11} - x^{10} + x^{9} - x^{8} + x^{4} - x^{3} - x + 1$.+- params:+    coefficients: 1,0,-1,0,0,-1+  number: '1.261230961137138851946671503074483335906561512823932899174657356830904239469104488591116935467487797'+  comment: degree $10$; minimal polynomial $x^{10} - x^{8} - x^{5} - x^{2} + 1$.+- params:+    coefficients: 1,-1,0,0,0,0,-1,0,0,0,0,0,0,1+  number: '1.263038139930169261222022798085163082403989294603617622448883468909444891211816578542249677559000514'+  comment: degree $26$; minimal polynomial $x^{26} - x^{25} - x^{20} + x^{13} - x^{6}+    - x + 1$.+- params:+    coefficients: 1,-1,0,0,0,0,-1,1+  number: '1.267296442523068692734077407604822492629074176701971734433405054449451752853913983609519547785241871'+  comment: degree $14$; minimal polynomial $x^{14} - x^{13} - x^{8} + x^{7} - x^{6}+    - x + 1$.+- params:+    coefficients: 1,-1,-1,1,0,0,0,0,0,-1,0,1+  number: '1.276779674019016861136497157605067169395425247666261436185614595924285532748953111077682351101737238'+  comment: degree $22$; minimal polynomial $x^{22} - x^{21} - x^{20} + x^{19} - x^{13}+    + x^{11} - x^{9} + x^{3} - x^{2} - x + 1$.+- params:+    coefficients: 1,0,0,-1,-1+  number: '1.280638156267757596701902532710676301595313317819353584076277261716335555633386491878399947424007022'+  comment: degree $8$; minimal polynomial $x^{8} - x^{5} - x^{4} - x^{3} + 1$.+- params:+    coefficients: 1,0,0,0,0,0,-1,-1,-1,-1,-1,-1,-1,-1+  number: '1.281691371528106310055107748672771558415642455515779917413082415055377327487741807397084621153512449'+  comment: degree $26$; minimal polynomial $x^{26} - x^{20} - x^{19} - x^{18} - x^{17}+    - x^{16} - x^{15} - x^{14} - x^{13} - x^{12} - x^{11} - x^{10} - x^{9} - x^{8}+    - x^{7} - x^{6} + 1$.+- params:+    coefficients: 1,-2,2,-2,2,-2,1,0,-1,1,-1+  number: '1.282495560639960169561207128806572472485581139082169212292401024502310661104427644540700765924178039'+  comment: degree $20$; minimal polynomial $x^{20} - 2 x^{19} + 2 x^{18} - 2 x^{17}+    + 2 x^{16} - 2 x^{15} + x^{14} - x^{12} + x^{11} - x^{10} + x^{9} - x^{8} + x^{6}+    - 2 x^{5} + 2 x^{4} - 2 x^{3} + 2 x^{2} - 2 x + 1$.+- params:+    coefficients: 1,0,0,0,-1,0,-1,-1,0,-1+  number: '1.284616550925536736743131441485789494939191059613661928484866385712738555102877745989023559495027088'+  comment: degree $18$; minimal polynomial $x^{18} - x^{14} - x^{12} - x^{11} - x^{9}+    - x^{7} - x^{6} - x^{4} + 1$.+- params:+    coefficients: 1,-2,1,1,-2,1,0,0,-1,1,0,-1,1,-1+  number: '1.284746821544843035729838140650008200718705398881565768980866336566720406099103932587188672386882989'+  comment: degree $26$; minimal polynomial $x^{26} - 2 x^{25} + x^{24} + x^{23} -+    2 x^{22} + x^{21} - x^{18} + x^{17} - x^{15} + x^{14} - x^{13} + x^{12} - x^{11}+    + x^{9} - x^{8} + x^{5} - 2 x^{4} + x^{3} + x^{2} - 2 x + 1$.+- params:+    coefficients: 1,0,0,0,0,-1,-1,-1,-1,-1,-1,0,0,0,0,1+  number: '1.285099363651876557117420034512953144874203997952486708227935530217761432981905301308232456428021224'+  comment: degree $30$; minimal polynomial $x^{30} - x^{25} - x^{24} - x^{23} - x^{22}+    - x^{21} - x^{20} + x^{15} - x^{10} - x^{9} - x^{8} - x^{7} - x^{6} - x^{5} ++    1$.+- params:+    coefficients: 1,-2,2,-2,1,0,-1,2,-2,1,0,-1,1,-1,1,-1+  number: '1.285121520153207532780681369174516237613271731378863673632885847118882541168037735375242283387422682'+  comment: degree $30$; minimal polynomial $x^{30} - 2 x^{29} + 2 x^{28} - 2 x^{27}+    + x^{26} - x^{24} + 2 x^{23} - 2 x^{22} + x^{21} - x^{19} + x^{18} - x^{17} ++    x^{16} - x^{15} + x^{14} - x^{13} + x^{12} - x^{11} + x^{9} - 2 x^{8} + 2 x^{7}+    - x^{6} + x^{4} - 2 x^{3} + 2 x^{2} - 2 x + 1$.+- params:+    coefficients: 1,-1,0,0,0,0,0,0,-1,0,0,0,-1,0,0,-1+  number: '1.285185670752909791356387310393076486777398243338615604769858775841299139513109128813811005825606248'+  comment: degree $30$; minimal polynomial $x^{30} - x^{29} - x^{22} - x^{18} - x^{15}+    - x^{12} - x^{8} - x + 1$.+- params:+    coefficients: 1,0,-1,-1,0,0,0,1,0,-1,-1,0,1,1+  number: '1.285196726769853432068127270005288448365700170442190244716562984645683818344535826284176377237841781'+  comment: degree $26$; minimal polynomial $x^{26} - x^{24} - x^{23} + x^{19} - x^{17}+    - x^{16} + x^{14} + x^{13} + x^{12} - x^{10} - x^{9} + x^{7} - x^{3} - x^{2} ++    1$.+- params:+    coefficients: 1,-1,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,1+  number: '1.285199179205612167312192383918896566508760671530769225048432083986362622524512169843198828884513257'+  comment: degree $44$; minimal polynomial $x^{44} - x^{43} - x^{37} - x^{33} + x^{25}+    + x^{22} + x^{19} - x^{11} - x^{7} - x + 1$.+- params:+    coefficients: 1,0,-1,0,0,-1,-1,0,0,0,1,0,0,1,0,-1+  number: '1.285235436228923770828415884707550856833387916488331043924772375325234413835111143450140123932228167'+  comment: degree $30$; minimal polynomial $x^{30} - x^{28} - x^{25} - x^{24} + x^{20}+    + x^{17} - x^{15} + x^{13} + x^{10} - x^{6} - x^{5} - x^{2} + 1$.+- params:+    coefficients: 1,-1,0,0,-1,1,-1,0,1,-1,1,0,-1,1,-1,0,1,-1+  number: '1.285409064765363764030309848277292740660005468089094281561805724703087406277172378851538143095670345'+  comment: degree $34$; minimal polynomial $x^{34} - x^{33} - x^{30} + x^{29} - x^{28}+    + x^{26} - x^{25} + x^{24} - x^{22} + x^{21} - x^{20} + x^{18} - x^{17} + x^{16}+    - x^{14} + x^{13} - x^{12} + x^{10} - x^{9} + x^{8} - x^{6} + x^{5} - x^{4} -+    x + 1$.+- params:+    coefficients: 1,-2,2,-2,2,-2,2,-3,3,-3+  number: '1.286395966836277224044411092745880239115725375942247231746941191653717183126508052297978028380193482'+  comment: degree $18$; minimal polynomial $x^{18} - 2 x^{17} + 2 x^{16} - 2 x^{15}+    + 2 x^{14} - 2 x^{13} + 2 x^{12} - 3 x^{11} + 3 x^{10} - 3 x^{9} + 3 x^{8} - 3+    x^{7} + 2 x^{6} - 2 x^{5} + 2 x^{4} - 2 x^{3} + 2 x^{2} - 2 x + 1$.+- params:+    coefficients: 1,-1,0,0,-1,1,-1,0,1,-1,1,0,-1,1+  number: '1.286730182048201274368747282841750891759038499111820286542038482649973354992548669426849319436738804'+  comment: degree $26$; minimal polynomial $x^{26} - x^{25} - x^{22} + x^{21} - x^{20}+    + x^{18} - x^{17} + x^{16} - x^{14} + x^{13} - x^{12} + x^{10} - x^{9} + x^{8}+    - x^{6} + x^{5} - x^{4} - x + 1$.+- params:+    coefficients: 1,-1,0,0,0,0,-1,0,0,0,0,0,0+  number: '1.291741425714500483635599066106538616717832154961085041460330006512822156937195506601747818535777278'+  comment: degree $24$; minimal polynomial $x^{24} - x^{23} - x^{18} - x^{6} - x ++    1$.+- params:+    coefficients: 1,0,-1,0,0,-1,0,0,-1,0,1+  number: '1.292039106017929461943480560567260344484221751942270774576911401536994669762487376427933939047638425'+  comment: degree $20$; minimal polynomial $x^{20} - x^{18} - x^{15} - x^{12} + x^{10}+    - x^{8} - x^{5} - x^{2} + 1$.+- params:+    coefficients: 1,0,0,-1,0,-1,0,-1,0,-1,0,-1,0,0,1,0,1,0,1,0,1+  number: '1.292418657582426546281031229140237872352241309398852816864941224955073998776387882342796034382262005'+  comment: degree $40$; minimal polynomial $x^{40} - x^{37} - x^{35} - x^{33} - x^{31}+    - x^{29} + x^{26} + x^{24} + x^{22} + x^{20} + x^{18} + x^{16} + x^{14} - x^{11}+    - x^{9} - x^{7} - x^{5} - x^{3} + 1$; Mossinghoff marks this row as a recent discovery.+- params:+    coefficients: 1,0,0,0,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1+  number: '1.292900721780102794630870596243860725721161208584711383482200434962859185172199055129104927356620452'+  comment: degree $46$; minimal polynomial $x^{46} - x^{42} - x^{41} - x^{40} - x^{39}+    + x^{25} + x^{24} + x^{23} + x^{22} + x^{21} - x^{7} - x^{6} - x^{5} - x^{4} ++    1$; this is the one known small Salem number in Mossinghoff's list with degree+    greater than $44$.+- params:+    coefficients: 1,0,-1,-1,0,1+  number: '1.293485953125454106519909883794095300396496621900788800582481240648323409236024590193726706779689885'+  comment: degree $10$; minimal polynomial $x^{10} - x^{8} - x^{7} + x^{5} - x^{3}+    - x^{2} + 1$.+- params:+    coefficients: 1,-1,0,0,-1,1,-1,0,1,-1+  number: '1.295675371944048235295741653561740294973968668937571897650122796909196596141953597496510031118860419'+  comment: degree $18$; minimal polynomial $x^{18} - x^{17} - x^{14} + x^{13} - x^{12}+    + x^{10} - x^{9} + x^{8} - x^{6} + x^{5} - x^{4} - x + 1$.+- params:+    coefficients: 1,-1,0,-1,0,1,0,1,-2,0,0,1,1,-1,-1,-1,1,1+  number: '1.296210659593309216851783179125375404230723736392617683646341971540035750766355537270046081016225984'+  comment: degree $34$; minimal polynomial $x^{34} - x^{33} - x^{31} + x^{29} + x^{27}+    - 2 x^{26} + x^{23} + x^{22} - x^{21} - x^{20} - x^{19} + x^{18} + x^{17} + x^{16}+    - x^{15} - x^{14} - x^{13} + x^{12} + x^{11} - 2 x^{8} + x^{7} + x^{5} - x^{3}+    - x + 1$; Mossinghoff marks this row as a recent discovery.+- params:+    coefficients: 1,-1,0,0,0,-1,0,0,0,0,0,1+  number: '1.296421365194547218873224266498702275589617222774875775383982464169375320434412925688408480615942763'+  comment: degree $22$; minimal polynomial $x^{22} - x^{21} - x^{17} + x^{11} - x^{5}+    - x + 1$.+- params:+    coefficients: 1,0,0,0,-1,-1,-1,-1,-1,0,0,0,1,1,1+  number: '1.296821373714950077456125855369735994986444530041748134229200029748496227132255961439367373333236486'+  comment: degree $28$; minimal polynomial $x^{28} - x^{24} - x^{23} - x^{22} - x^{21}+    - x^{20} + x^{16} + x^{15} + x^{14} + x^{13} + x^{12} - x^{8} - x^{7} - x^{6}+    - x^{5} - x^{4} + 1$.+- params:+    coefficients: 1,1,0,-1,-2,-2,-1,0,1,1,0,-1,-1,0,1,1,0,-1,-1+  number: '1.298429835475111538327805425740275196702460146064929341491216341055096941191685431457263595600737868'+  comment: degree $36$; minimal polynomial $x^{36} + x^{35} - x^{33} - 2 x^{32} -+    2 x^{31} - x^{30} + x^{28} + x^{27} - x^{25} - x^{24} + x^{22} + x^{21} - x^{19}+    - x^{18} - x^{17} + x^{15} + x^{14} - x^{12} - x^{11} + x^{9} + x^{8} - x^{6}+    - 2 x^{5} - 2 x^{4} - x^{3} + x + 1$; Mossinghoff marks this row as a recent discovery.+- params:+    coefficients: 1,-1,-1,0,2,0,-2,-1,2,2,-2,-2,0,3+  number: '1.299744869472170731620096386139687307907471991371031488761566141077614801002645724407169725316284758'+  comment: degree $26$; minimal polynomial $x^{26} - x^{25} - x^{24} + 2 x^{22} -+    2 x^{20} - x^{19} + 2 x^{18} + 2 x^{17} - 2 x^{16} - 2 x^{15} + 3 x^{13} - 2 x^{11}+    - 2 x^{10} + 2 x^{9} + 2 x^{8} - x^{7} - 2 x^{6} + 2 x^{4} - x^{2} - x + 1$.