"phi max v time
0.000000           0.9999198827161
0.300000           1.0032036387356
0.600000           1.0165679308821
0.900000           1.0475533118886
1.200000           1.1036047450756
1.500000           1.1902041732567
1.800000           1.3188502049547
2.100000           1.5204576862657
2.400000           1.8287092321577
2.700000           2.1691949368406
3.000000           2.4647796185994