when i run this code:

R.<v> = LaurentPolynomialRing(ZZ, 'v')
W = CoxeterGroup('A3', implementation='coxeter3')
H = IwahoriHeckeAlgebra(W, v**2); Cp=H.Cp()
Cp.product_on_basis(W([1,2,1]), W([3,1]))
Cp.product_on_basis(W([1,2,1]), W([3,1,2]))

it will be wrong and the error msg is :

RuntimeError Traceback (most recent call last) Cell In [1], line 2 1 R = 
LaurentPolynomialRing(ZZ, 'v', names=('v',)); (v,) = R._first_ngens(1) ----> 
2 W = CoxeterGroup('A3', implementation='coxeter3') 3 H = 
IwahoriHeckeAlgebra(W, v**Integer(2)); Cp=H.Cp() 4 Cp.
product_on_basis(W([Integer(1),Integer(2),Integer(1)]), W([Integer(3
),Integer(1)])) File /home/sc_serv/sage/src/sage/misc/lazy_import.pyx:409, 
in sage.misc.lazy_import.LazyImport.__call__() 407 True 408 """ --> 409 
return self.get_object()(*args, **kwds) 410 411 def __repr__(self): File 
/home/sc_serv/sage/src/sage/combinat/root_system/coxeter_group.py:140, in 
CoxeterGroup(data, implementation, base_ring, index_set) 138 from sage.libs.
coxeter3.coxeter_group import CoxeterGroup 139 except ImportError: --> 140 
raise RuntimeError("coxeter3 must be installed") 141 else: 142 return 
CoxeterGroup(cartan_type) RuntimeError: coxeter3 must be installed

在2025年1月25日星期六 UTC+8 05:50:16<dim...@gmail.com> 写道:

> Please provide more details on how exactly you installed SageMath, which  
> installer is this?
>
>
> On 24 January 2025 15:06:33 GMT-06:00, James Propp <james...@gmail.com> 
> wrote:
>
>> How do I do a *complete* uninstall that (among other things) will 
>> “un-answer” the installation software’s questions about giving various 
>> system-privileges to SageMath? 
>>
>>
>> I installed SageMath-10-5 on my MacBook Pro (with a 1.4 GHz Quad-Core 
>> Intel Core i5 processor running Sonoma 14.7) and declined to give SageMath 
>> any system privileges. I later learned this was a mistake so I want to go 
>> back to square one and get a fresh start. Unfortunately even when I put the 
>> software in the trash, delete .sage, and start the process over, the 
>> installer doesn’t give me a chance to change my earlier answers.
>>
>>
>> I tried installing SageMath-10-4 to see if that could "dislodge" my 
>> earlier answers (presumably stored in some dot-file somewhere) but that 
>> didn't help.
>>
>>
>> Sorry to be asking such a newbie question; I checked the FAQ etc. but 
>> can’t find the help I need. (Feel free to suggest other solutions to my 
>> problem that don't involve doing an uninstall/re-install.) Thanks!
>>
>>

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