Group GAP4(120,31)

x^120-120*x^118+7020*x^116-266800*x^114+7407150*x^112-160149023*x^110+280729\
0530*x^108-41012700355*x^106+509454506275*x^104-5462736443450*x^102+51160956\
976480*x^100-422429150322375*x^98+3098456277728000*x^96-20314727008222500*x^\
94+119669835391855000*x^92-636104706749129436*x^90+3061970053353330490*x^88-\
13387731837173804440*x^86+53301351022047407400*x^84-193643175195112374325*x^\
82+643052241450742251942*x^80-1954680791383943087985*x^78+544463809927555282\
0110*x^76-13908740184938714207625*x^74+32605207873188811905375*x^72-70165050\
322686053787199*x^70+138627088177420664856430*x^68-251440510635488466884780*\
x^66+418560810118382253772450*x^64-639152946756929099040600*x^62+89468603804\
5330699909007*x^60-1146993851745363562446795*x^58+1345198176141628739526970*\
x^56-1441309878780412801333725*x^54+1408577769313262461923425*x^52-125328883\
4851637885559636*x^50+1013075668267832212043050*x^48-74215453524494729881292\
5*x^46+491364998677712112808500*x^44-293092636174911772607375*x^42+156944972\
185878309064407*x^40-75140772611316059306905*x^38+32018152974577421276805*x^\
36-12079282517209324525050*x^34+4010704571366129906900*x^32-1164032134432273\
506748*x^30+292987179423177135190*x^28-63371406628044516690*x^26+11653056477\
623846625*x^24-1798770491151621750*x^22+229561862471020003*x^20-237788197459\
41935*x^18+1954017326438010*x^16-123763306046150*x^14+5820884288075*x^12-193\
478177673*x^10+4249356980*x^8-56227930*x^6+394900*x^4-1200*x^2+1

1

x^120-x^115+x^95-x^90+x^85-x^80+x^70-x^65+x^60-x^55+x^50-x^40+x^35-x^30+x^25\
-x^5+1

1