Query:
/api/smf_dims/?_offset=0
Table smf_dims
Siegel modular forms
{'111111': '(t**17-t**16+t**15-t**13+t**11-t**10+t**9)/(1+t**25-t**24+t**22-2*t**21+t**19-t**18+2*t**16-t**15-t**10+2*t**9-t**7+t**6-2*t**4+t**3-t)', '21111': '(t**14-2*t**13+2*t**12-t**11+t**9-t**7+2*t**6-2*t**5+t**4)/(1+t**17-2*t**16+2*t**15-t**14-2*t**13+4*t**12-5*t**11+4*t**10-t**9-t**8+4*t**7-5*t**6+4*t**5-2*t**4-t**3+2*t**2-2*t)', '2211': '(t**11+t**8+t**5)/(1+t**15-t**13-2*t**11-t**10+2*t**9+t**8+t**7+2*t**6-t**5-2*t**4-t**2)', '222': '(t**16-2*t**15+3*t**14-3*t**13+2*t**12-t**11+2*t**10-3*t**9+3*t**8-2*t**7+t**6)/(1+t**21-2*t**20+t**19+t**18-3*t**17+3*t**16-t**15-t**14+2*t**13-t**12-t**9+2*t**8-t**7-t**6+3*t**5-3*t**4+t**3+t**2-2*t)', '3111': '(t**18-2*t**17+2*t**16-t**15+t**14-t**13+2*t**12-2*t**11+2*t**10-t**9+t**8-t**7+2*t**6-2*t**5+t**4)/(1+t**21-2*t**20+t**19+t**18-3*t**17+3*t**16-t**15-t**14+2*t**13-t**12-t**9+2*t**8-t**7-t**6+3*t**5-3*t**4+t**3+t**2-2*t)', '321': '(2*t**12-t**11+2*t**9-t**7+2*t**6)/(1+t**17-t**16-t**15+2*t**14-t**13-2*t**12+t**11+2*t**10-t**9-t**8+2*t**7+t**6-2*t**5-t**4+2*t**3-t**2-t)', '33': '(t**15-2*t**14+2*t**13-t**12+t**11-t**10+2*t**9-2*t**8+t**7)/(1+t**21-2*t**20+t**19+t**18-3*t**17+3*t**16-t**15-t**14+2*t**13-t**12-t**9+2*t**8-t**7-t**6+3*t**5-3*t**4+t**3+t**2-2*t)', '411': '(t**15-t**14+t**13+t**12-2*t**11+t**10+t**9-t**8+t**7)/(1+t**21-2*t**20+t**19+t**18-3*t**17+3*t**16-t**15-t**14+2*t**13-t**12-t**9+2*t**8-t**7-t**6+3*t**5-3*t**4+t**3+t**2-2*t)', '42': '(t**10+t**8+t**6)/(1+t**15-t**13-2*t**11-t**10+2*t**9+t**8+t**7+2*t**6-t**5-2*t**4-t**2)', '51': 't**9/(1+t**17-2*t**16+2*t**15-t**14-2*t**13+4*t**12-5*t**11+4*t**10-t**9-t**8+4*t**7-5*t**6+4*t**5-2*t**4-t**3+2*t**2-2*t)', '6': '(-t**26+2*t**25-t**24-t**23+3*t**22-2*t**21-t**20+2*t**19-t**18-2*t**17+4*t**16-2*t**15+t**13-t**11+t**10)/(1+t**25-t**24+t**22-2*t**21+t**19-t**18+2*t**16-t**15-t**10+2*t**9-t**7+t**6-2*t**4+t**3-t)', 'author': 'Fabien Clery', 'description': 'Hilbert-Poincare series for the sum of the canonical $S_6$-submodule $M_k^p$ ($k\\ge 4$) of $M_{k,2}(Gamma_0(2))$ corresponding to the irreducible $S_6$ representation defined by the partition $p$. The action of $S_6$ is given by identifying $S_6$ with the quotient $SP(4,Z)/Gamma(2)$ and letting act $SP(4,Z)$ in the natural way.', 'group': 'Gamma(2)', 'id': 22, 'note': ['if $j\\\\ge2 then only $k\\\\ge 4$'], 'space': 'total', 'sym_power': 2, 'title': 'Hilbert Poincare series'}