Question: Problem in finding the solution of linear algebraic equations

Dear Users!

Hope you would be fine with everything. I want to find the solution of linear algebric equations but fsolve command not working please see and fix this problem. I shall be very thankful.

C[0] := 3.19153824321146142351956847947*tau[1]-19.1492294592687685411174108768*tau[2]+111.703838512401149823184896781*tau[3]+3.19153824321146142351956847947*tau[4]-44.6815354049604599292739587124*tau[5]+622.349957426234977586315853494*tau[6];
C[1] := 51.0646118913833827763130956714*tau[2]-612.775342696600593315757148056*tau[3]+51.0646118913833827763130956714*tau[5]-1429.80913295873471773676667880*tau[6];
C[2] := -1.06073680388443795908856507616+3.19153824321146142351956847947*tau[1]+53.1609155734306093706448370717*tau[2]+1672.89412862088744108725223170*tau[3]+3.19153824321146142351956847947*tau[4]+27.6286096277389179824882892361*tau[5]+1026.57792701153122226218722129*tau[6];
C[3] := -1.08847004231036963538035920033+3.19153824321146142351956847947*tau[1]+62.6399144226357196540662623767*tau[2]+2040.52109049201342887896297462*tau[3]+3.19153824321146142351956847947*tau[4]+37.1076084769440282659097145411*tau[5]+1242.54090729537544551915515930*tau[6];
C[4] := -1.05523181556926815105314303389+3.19153824321146142351956847947*tau[1]+72.7671212023804312453829273862*tau[2]+2472.93216226733267613216245895*tau[3]+3.19153824321146142351956847947*tau[4]+47.2348152566887398572263795506*tau[5]+1512.91667059477930731128800348*tau[6];
C[5] := -.922876006485286011069063957991+3.19153824321146142351956847947*tau[1]+82.9822841707707093164204255644*tau[2]+2971.36790137532483139495115633*tau[3]+3.19153824321146142351956847947*tau[4]+57.4499782250790179282638777288*tau[5]+1847.90980220852701343747673000*tau[6];

fsolve({seq(`$`(C[l1], l1 = 0 .. 5))});

Special request to:
@acer @Carl Love @Kitonum @Preben Alsholm

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