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Table 1.

Solution properties.

Model c0 c1 v0 Γ0 Emag Eel W M
Z1 1 0 0.9992 25.01 17.59 17.54 0 0
Z2 2 0 0.9939 9.07 1.018 0.9730 0 0
Z3 5 0 0.9573 3.46 0.2691 0.1998 0 0
Z4 10 0 0.8812 2.12 0.2004 0.1012 0 0
Z5 20 0 0.7571 1.53 0.2020 0.06043 0 0
Z6 50 0 0.5589 1.21 0.2598 0.03446 0 0
Z7 100 0 0.4201 1.10 0.3431 0.02354 0 0

P1 1 0.1 0.9918 7.82 1.742 1.693 0.02989 0.07039
P2 1 0.2 0.9870 6.22 1.012 0.9656 0.03759 0.08894
P3 1 0.5 0.9758 4.57 0.5457 0.4988 0.04932 0.1170
P4 1 1 0.9617 3.62 0.3654 0.3166 0.05971 0.1406
P5 1 2 0.9407 2.95 0.2614 0.2094 0.07180 0.1657
P6 1 5 0.8990 2.28 0.1872 0.1286 0.09086 0.1990
P7 1 10 0.8553 1.93 0.1593 0.09345 0.1085 0.2236
P8 1 20 0.8008 1.67 0.1445 0.06976 0.1292 0.2458
P9 1 50 0.7154 1.43 0.1392 0.04921 0.1628 0.2711
P10 1 100 0.6446 1.31 0.1435 0.03880 0.1937 0.2865

N1 1 −0.00135 0.9997 40.83 0.8867 0.8641 0.03083 0.02894
N2 2 −0.00170 0.9974 13.88 0.5897 0.5504 0.03353 0.05305
N3 5 −0.252 0.9779 4.78 0.2631 0.1970 0.05370 0.1107
N4 10 −1.448 0.9342 2.80 0.2024 0.1065 0.07718 0.1654
N5 20 −7.084 0.8434 1.86 0.2035 0.06541 0.1108 0.2194
N6 50 −50.45 0.6628 1.34 0.2592 0.03796 0.1767 0.2732
N7 100 −211.3 0.5135 1.17 0.3407 0.02609 0.2509 0.2983

Notes. The columns represent the solution number, parameters c0 and c1, the root of the solution v0, and the corresponding Lorentz number Γ0, the magnetic field energy Emag, the electric field energy Eel, the work of the pressure W, and the mass M enclosed in the solution. The units of the various energy terms (Emag, Eel, and W) are in units of 1045 erg and the mass is in units of 1.8 × 1026 g, under the assumption of a sphere where v = 1 corresponds to a radius of 1 km, and the magnetic flux g is normalised to 1025 G cm2.

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