I have a list of some physical quantity in 6 variables. Here is a part of the list:

List={{0, 0, 0, 0., 0., 0., 4.111895977}, {0, 0, 0, 0., 0., 0.785398, 
  4.607787965}, {0, 0, 0, 0., 0.0698132, 0., 4.111407160}, {0, 0, 0, 
  0., 0.0698132, 0.785398, 4.357618160}, {0, 0, 0, 0.174533, 0., 0., 
  4.592771471}, {0, 0, 0, 0.174533, 0., 0.785398, 4.119550626}, {0, 0,
   0, 0.174533, 0.0698132, 0., 4.580448801}, {0, 0, 0, 0.174533, 
  0.0698132, 0.785398, 3.993225360}, {0, 0, 0, 0.349066, 0., 0., 
  5.736786317}, {0, 0, 0, 0.349066, 0., 0.785398, 4.052547453}, {0, 0,
   0, 0.349066, 0.0698132, 0., 5.700944956}, {0, 0, 0, 0.349066, 
  0.0698132, 0.785398, 4.055131115}, {0, 0, 0, 0.523599, 0., 0., 
  6.615064609}, {0, 0, 0, 0.523599, 0., 0.785398, 4.178452520}, {0, 0,
   0, 0.523599, 0.0698132, 0., 6.564990242}, {0, 0, 0, 0.523599, 
  0.0698132, 0.785398, 4.207169777}, {0.09, 0., 0., 0., 0., 0., 
  0.2808961666}, {0.09, 0., 0., 0., 0., 0.785398, 
  0.4781796474}, {0.09, 0., 0.0698132, 0., 0.0698132, 0., 
  0.2957702531}, {0.09, 0., 0.0698132, 0., 0.0698132, 0.785398, 
  0.2991365099}, {0.09, 0.174533, 0., 0.174533, 0., 0., 
  0.6004583306}, {0.09, 0.174533, 0., 0.174533, 0., 0.785398, 
  0.2064655750}, {0.09, 0.174533, 0.0698132, 0.174533, 0.0698132, 0., 
  0.6113155697}, {0.09, 0.174533, 0.0698132, 0.174533, 0.0698132, 
  0.785398, 0.09722398462}, {0.09, 0.349066, 0., 0.349066, 0., 0., 
  1.468946665}, {0.09, 0.349066, 0., 0.349066, 0., 0.785398, 
  0.1517461042}, {0.09, 0.349066, 0.0698132, 0.349066, 0.0698132, 0., 
  1.459651339}, {0.09, 0.349066, 0.0698132, 0.349066, 0.0698132, 
  0.785398, 0.1309425809}, {0.09, 0.523599, 0., 0.523599, 0., 0., 
  2.107593061}, {0.09, 0.523599, 0., 0.523599, 0., 0.785398, 
  0.2087053436}, {0.09, 0.523599, 0.0698132, 0.523599, 0.0698132, 0., 
  2.090578121}, {0.09, 0.523599, 0.0698132, 0.523599, 0.0698132, 
  0.785398, 0.2441966506}}

I need to construct a function to represent this list. In this small subset the first variable takes two values (0, 0.09), the second and fourth take the values (0, 10 Degree, 20 Degree, 30 Degree), the third and fifth (0, 4 Degree) and the sixth variable take the values (0,45 Degree). Unfortunately ListInterpolation is not of help here because the variables do not make an array. Could someone please suggest the best way to create an interpolating or a fitting function in the 6 variables?

Thanks, eft