Dataset Viewer
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{"header": "Beam points", "points": [{"coordinate": "0", "type": "Pinned Support", "load": "0", "moment": "0"}, {"coordinate": "0.95*L", "type": "Continuity point", "load": "-2*P", "moment": "0"}, {"coordinate": "L", "type": "Roller", "load": "0", "moment": "0"}]}
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{"header": "Beam segments", "segments": [{"span": ["0", "0.95*L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}, {"span": ["0.95*L", "L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}]}
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{"header": "Exterior Reactions", "reactions": [{"point": "0", "type": "Force", "value": "0.1*P"}, {"point": "L", "type": "Force", "value": "1.9*P"}]}
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{"header": "Internal Loads", "segments": [{"span": ["0", "0.95*L"], "shear_force": "-0.1*P", "bending_moment": "0.1*P*x"}, {"span": ["0.95*L", "L"], "shear_force": "1.9*P", "bending_moment": "1.9*L*P - 1.9*P*x"}]}
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{"header": "Beam points", "points": [{"coordinate": "0", "type": "Pinned Support", "load": "-2*P", "moment": "0"}, {"coordinate": "L", "type": "Roller", "load": "0", "moment": "0"}]}
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{"header": "Beam segments", "segments": [{"span": ["0", "L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}]}
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{"header": "Exterior Reactions", "reactions": [{"point": "0", "type": "Force", "value": "2*P"}, {"point": "L", "type": "Force", "value": "0"}]}
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{"header": "Internal Loads", "segments": [{"span": ["0", "L"], "shear_force": "0", "bending_moment": "0"}]}
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{"header": "Rotation and deflection", "segments": [{"span": ["0", "L"], "deflection": "0", "rotation": "0"}]}
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{"header": "Beam points", "points": [{"coordinate": "0", "type": "Pinned Support", "load": "0", "moment": "0"}, {"coordinate": "0.25*L", "type": "Continuity point", "load": "-2*P", "moment": "0"}, {"coordinate": "L", "type": "Roller", "load": "0", "moment": "0"}]}
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{"header": "Exterior Reactions", "reactions": [{"point": "0", "type": "Force", "value": "1.5*P"}, {"point": "L", "type": "Force", "value": "0.5*P"}]}
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{"header": "Beam points", "points": [{"coordinate": "0", "type": "Pinned Support", "load": "0", "moment": "0"}, {"coordinate": "0.95*L", "type": "Continuity point", "load": "-2*P", "moment": "0"}, {"coordinate": "L", "type": "Roller", "load": "0", "moment": "0"}]}
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{"header": "Beam segments", "segments": [{"span": ["0", "0.95*L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}, {"span": ["0.95*L", "L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}]}
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{"header": "Beam points", "points": [{"coordinate": "0", "type": "Pinned Support", "load": "0", "moment": "0"}, {"coordinate": "0.55*L", "type": "Continuity point", "load": "-2*P", "moment": "0"}, {"coordinate": "0.85*L", "type": "Continuity point", "load": "-2*P", "moment": "0"}, {"coordinate": "L", "type": "Roller", "load": "0", "moment": "0"}]}
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{"header": "Beam segments", "segments": [{"span": ["0", "0.55*L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}, {"span": ["0.55*L", "0.85*L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}, {"span": ["0.85*L", "L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}]}
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{"header": "Exterior Reactions", "reactions": [{"point": "0", "type": "Force", "value": "1.2*P"}, {"point": "L", "type": "Force", "value": "2.8*P"}]}
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6
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[
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{"header": "Beam points", "points": [{"coordinate": "0", "type": "Pinned Support", "load": "0", "moment": "0"}, {"coordinate": "0.05*L", "type": "Continuity point", "load": "-2*P", "moment": "0"}, {"coordinate": "0.25*L", "type": "Continuity point", "load": "-2*P", "moment": "0"}, {"coordinate": "L", "type": "Roller", "load": "0", "moment": "0"}]}
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{"header": "Beam segments", "segments": [{"span": ["0", "0.05*L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}, {"span": ["0.05*L", "0.25*L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}, {"span": ["0.25*L", "L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}]}
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{"header": "Exterior Reactions", "reactions": [{"point": "0", "type": "Force", "value": "3.4*P"}, {"point": "L", "type": "Force", "value": "0.6*P"}]}
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{"header": "Internal Loads", "segments": [{"span": ["0", "0.05*L"], "shear_force": "-3.4*P", "bending_moment": "3.4*P*x"}, {"span": ["0.05*L", "0.25*L"], "shear_force": "-1.4*P", "bending_moment": "0.1*L*P + 1.4*P*x"}, {"span": ["0.25*L", "L"], "shear_force": "0.6*P", "bending_moment": "0.6*L*P - 0.6*P*x"}]}
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{"header": "Rotation and deflection", "segments": [{"span": ["0", "0.05*L"], "deflection": "0.0515950916242948*I*L**2*P*x - 0.566666666666667*I*P*x**3*exp(-1)", "rotation": "0.0515950916242948*I*L**2*P - 1.7*I*P*x**2*exp(-1)"}, {"span": ["0.05*L", "0.25*L"], "deflection": "-1.53283100488101e-5*I*L**3*P + 0.0525147902272234*I*L**2*P*x - 0.05*I*L*P*x**2*exp(-1) - 0.233333333333333*I*P*x**3*exp(-1)", "rotation": "0.0525147902272234*I*L**2*P - 0.1*I*L*P*x*exp(-1) - 0.7*I*P*x**2*exp(-1)"}, {"span": ["0.25*L", "L"], "deflection": "-0.00193136706615007*I*L**3*P + 0.0755072553004385*I*L**2*P*x - 0.3*I*L*P*x**2*exp(-1) + 0.1*I*P*x**3*exp(-1)", "rotation": "0.0755072553004385*I*L**2*P - 0.6*I*L*P*x*exp(-1) + 0.3*I*P*x**2*exp(-1)"}]}
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{"header": "Beam points", "points": [{"coordinate": "0", "type": "Pinned Support", "load": "0", "moment": "0"}, {"coordinate": "0.25*L", "type": "Continuity point", "load": "-2*P", "moment": "0"}, {"coordinate": "0.75*L", "type": "Continuity point", "load": "-2*P", "moment": "0"}, {"coordinate": "L", "type": "Roller", "load": "0", "moment": "0"}]}
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{"header": "Beam segments", "segments": [{"span": ["0", "0.25*L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}, {"span": ["0.25*L", "0.75*L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}, {"span": ["0.75*L", "L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}]}
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{"local_extrema": [[0.0, "0.055641765477181j"], [0.85, "-0.06253950499914526j"], [1.0, "-0.0749554361386805j"]], "null": [["(0.5499930209511065+0j)", 0]]}
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{"local_extrema": [[0.0, "0j"], [0.544949494949495, "0.020399408050145163j"], [0.85, "0.0106225188638253j"], [1.0, "6.661338147750939e-16j"]], "null": [[0.0, 0], [1.0, 0]]}
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{"header": "Beam points", "points": [{"coordinate": "0", "type": "Pinned Support", "load": "0", "moment": "0"}, {"coordinate": "0.65*L", "type": "Continuity point", "load": "-2*P", "moment": "0"}, {"coordinate": "0.85*L", "type": "Continuity point", "load": "-2*P", "moment": "0"}, {"coordinate": "L", "type": "Roller", "load": "0", "moment": "0"}]}
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{"header": "Beam segments", "segments": [{"span": ["0", "0.65*L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}, {"span": ["0.65*L", "0.85*L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}, {"span": ["0.85*L", "L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}]}
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{"header": "Exterior Reactions", "reactions": [{"point": "0", "type": "Force", "value": "P"}, {"point": "L", "type": "Force", "value": "3.0*P"}]}
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{"header": "Internal Loads", "segments": [{"span": ["0", "0.65*L"], "shear_force": "-P", "bending_moment": "P*x"}, {"span": ["0.65*L", "0.85*L"], "shear_force": "P", "bending_moment": "1.3*L*P - P*x"}, {"span": ["0.85*L", "L"], "shear_force": "3*P", "bending_moment": "3.0*L*P - 3*P*x"}]}
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{"header": "Rotation and deflection", "segments": [{"span": ["0", "0.65*L"], "deflection": "0.055641765477181*I*L**2*P*x - I*P*x**3*exp(-1)/6", "rotation": "0.055641765477181*I*L**2*P - I*P*x**2*exp(-1)/2"}, {"span": ["0.65*L", "0.85*L"], "deflection": "-0.0336762971772359*I*L**3*P + 0.211070829372115*I*L**2*P*x - 0.65*I*L*P*x**2*exp(-1) + 0.166666666666667*I*P*x**3*exp(-1)", "rotation": "0.211070829372115*I*L**2*P - 1.3*I*L*P*x*exp(-1) + 0.5*I*P*x**2*exp(-1)"}, {"span": ["0.85*L", "L"], "deflection": "-0.10898428444704*I*L**3*P + 0.476863725618483*I*L**2*P*x - 1.5*I*L*P*x**2*exp(-1) + 0.5*I*P*x**3*exp(-1)", "rotation": "0.476863725618483*I*L**2*P - 3.0*I*L*P*x*exp(-1) + 1.5*I*P*x**2*exp(-1)"}]}
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9
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[
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"0.55*L"
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{"L": "L", "E": "E", "I": "I", "P": {"P1": {"location": "0.15*L", "magnitude": "-2*P"}, "P2": {"location": "0.55*L", "magnitude": "-2*P"}}, "M": {}, "Q": {}, "R": {"R1": {"location": "0", "type": "pin"}, "R2": {"location": "L", "type": "roller"}}}
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{"header": "Beam points", "points": [{"coordinate": "0", "type": "Pinned Support", "load": "0", "moment": "0"}, {"coordinate": "0.15*L", "type": "Continuity point", "load": "-2*P", "moment": "0"}, {"coordinate": "0.55*L", "type": "Continuity point", "load": "-2*P", "moment": "0"}, {"coordinate": "L", "type": "Roller", "load": "0", "moment": "0"}]}
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{"header": "Beam segments", "segments": [{"span": ["0", "0.15*L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}, {"span": ["0.15*L", "0.55*L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}, {"span": ["0.55*L", "L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}]}
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{"header": "Exterior Reactions", "reactions": [{"point": "0", "type": "Force", "value": "2.6*P"}, {"point": "L", "type": "Force", "value": "1.4*P"}]}
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{"header": "Internal Loads", "segments": [{"span": ["0", "0.15*L"], "shear_force": "-2.6*P", "bending_moment": "2.6*P*x"}, {"span": ["0.15*L", "0.55*L"], "shear_force": "-0.6*P", "bending_moment": "0.3*L*P + 0.6*P*x"}, {"span": ["0.55*L", "L"], "shear_force": "1.4*P", "bending_moment": "1.4*L*P - 1.4*P*x"}]}
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10
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[
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{"local_extrema": [], "null": [[0.45, 0]]}
|
{"local_extrema": [[0.0, 0.0], [0.45, 0.935], [1.0, 0.0]], "null": [[0.0, 0], [1.0, 0]]}
|
{"local_extrema": [[0.0, "0.116203918480029j"], [0.15, "0.09840775051336048j"], [1.0, "-0.09072826717890695j"]], "null": [["(0.4613481662094889+0j)", 0]]}
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{"local_extrema": [[0.0, "0j"], [0.25, "0.02505412277478016j"], [0.45, "0.03255886337467755j"], [0.46111111111111114, "0.0325806930749418j"], [1.0, "-1.1622647289044608e-16j"]], "null": [[0.0, 0], ["(0.9999999999999987+0j)", 0]]}
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{"header": "Beam points", "points": [{"coordinate": "0", "type": "Pinned Support", "load": "0", "moment": "0"}, {"coordinate": "0.15*L", "type": "Continuity point", "load": "-2*P", "moment": "0"}, {"coordinate": "0.25*L", "type": "Continuity point", "load": "-2*P", "moment": "0"}, {"coordinate": "0.45*L", "type": "Continuity point", "load": "-2*P", "moment": "0"}, {"coordinate": "L", "type": "Roller", "load": "0", "moment": "0"}]}
|
{"header": "Beam segments", "segments": [{"span": ["0", "0.15*L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}, {"span": ["0.15*L", "0.25*L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}, {"span": ["0.25*L", "0.45*L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}, {"span": ["0.45*L", "L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}]}
|
{"header": "Exterior Reactions", "reactions": [{"point": "0", "type": "Force", "value": "4.3*P"}, {"point": "L", "type": "Force", "value": "1.7*P"}]}
|
{"header": "Internal Loads", "segments": [{"span": ["0", "0.15*L"], "shear_force": "-4.3*P", "bending_moment": "4.3*P*x"}, {"span": ["0.15*L", "0.25*L"], "shear_force": "-2.3*P", "bending_moment": "0.3*L*P + 2.3*P*x"}, {"span": ["0.25*L", "0.45*L"], "shear_force": "-0.3*P", "bending_moment": "0.8*L*P + 0.3*P*x"}, {"span": ["0.45*L", "L"], "shear_force": "1.7*P", "bending_moment": "1.7*L*P - 1.7*P*x"}]}
|
{"header": "Rotation and deflection", "segments": [{"span": ["0", "0.15*L"], "deflection": "0.116203918480029*I*L**2*P*x - 0.716666666666667*I*P*x**3*exp(-1)", "rotation": "0.116203918480029*I*L**2*P - 2.15*I*P*x**2*exp(-1)"}, {"span": ["0.15*L", "0.25*L"], "deflection": "-0.000413864371317873*I*L**3*P + 0.124481205906387*I*L**2*P*x - 0.15*I*L*P*x**2*exp(-1) - 0.383333333333333*I*P*x**3*exp(-1)", "rotation": "0.124481205906387*I*L**2*P - 0.3*I*L*P*x*exp(-1) - 1.15*I*P*x**2*exp(-1)"}, {"span": ["0.25*L", "0.45*L"], "deflection": "-0.00232990312741913*I*L**3*P + 0.147473670979602*I*L**2*P*x - 0.4*I*L*P*x**2*exp(-1) - 0.05*I*P*x**3*exp(-1)", "rotation": "0.147473670979602*I*L**2*P - 0.8*I*L*P*x*exp(-1) - 0.15*I*P*x**2*exp(-1)"}, {"span": ["0.45*L", "L"], "deflection": "-0.0135042411530017*I*L**3*P + 0.221969257816819*I*L**2*P*x - 0.85*I*L*P*x**2*exp(-1) + 0.283333333333333*I*P*x**3*exp(-1)", "rotation": "0.221969257816819*I*L**2*P - 1.7*I*L*P*x*exp(-1) + 0.85*I*P*x**2*exp(-1)"}]}
|
11
|
[
"0.05*L",
"0.45*L",
"0.85*L"
] |
{"L": "L", "E": "E", "I": "I", "P": {"P1": {"location": "0.05*L", "magnitude": "-2*P"}, "P2": {"location": "0.45*L", "magnitude": "-2*P"}, "P3": {"location": "0.85*L", "magnitude": "-2*P"}}, "M": {}, "Q": {}, "R": {"R1": {"location": "0", "type": "pin"}, "R2": {"location": "L", "type": "roller"}}}
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] |
{"local_extrema": [], "null": [[0.45, 0]]}
|
{"local_extrema": [[0.0, 0.0], [0.45, 0.685], [0.85, 0.405], [1.0, 0.0]], "null": [[0.0, 0], [1.0, 0]]}
|
{"local_extrema": [[0.0, "0.0763809689732206j"], [1.0, "-0.07904809492171416j"]], "null": [["(0.500194473695988+0j)", 0]]}
|
{"local_extrema": [[0.0, "0j"], [0.05, "0.0037937567370804936j"], [0.45, "0.023781873040728797j"], [0.4984848484848485, "0.024088094944410388j"], [1.0, "-3.7470027081099033e-16j"]], "null": [[0.0, 0], ["(0.9999999999999952+0j)", 0]]}
|
{"header": "Beam points", "points": [{"coordinate": "0", "type": "Pinned Support", "load": "0", "moment": "0"}, {"coordinate": "0.05*L", "type": "Continuity point", "load": "-2*P", "moment": "0"}, {"coordinate": "0.45*L", "type": "Continuity point", "load": "-2*P", "moment": "0"}, {"coordinate": "0.85*L", "type": "Continuity point", "load": "-2*P", "moment": "0"}, {"coordinate": "L", "type": "Roller", "load": "0", "moment": "0"}]}
|
{"header": "Beam segments", "segments": [{"span": ["0", "0.05*L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}, {"span": ["0.05*L", "0.45*L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}, {"span": ["0.45*L", "0.85*L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}, {"span": ["0.85*L", "L"], "young_modulus": "E", "inertia": "I", "distributed_load": "0"}]}
|
{"header": "Exterior Reactions", "reactions": [{"point": "0", "type": "Force", "value": "3.3*P"}, {"point": "L", "type": "Force", "value": "2.7*P"}]}
|
{"header": "Internal Loads", "segments": [{"span": ["0", "0.05*L"], "shear_force": "-3.3*P", "bending_moment": "3.3*P*x"}, {"span": ["0.05*L", "0.45*L"], "shear_force": "-1.3*P", "bending_moment": "0.1*L*P + 1.3*P*x"}, {"span": ["0.45*L", "0.85*L"], "shear_force": "0.7*P", "bending_moment": "L*P - 0.7*P*x"}, {"span": ["0.85*L", "L"], "shear_force": "2.7*P", "bending_moment": "2.7*L*P - 2.7*P*x"}]}
|
{"header": "Rotation and deflection", "segments": [{"span": ["0", "0.05*L"], "deflection": "0.0763809689732206*I*L**2*P*x - 0.55*I*P*x**3*exp(-1)", "rotation": "0.0763809689732206*I*L**2*P - 1.65*I*P*x**2*exp(-1)"}, {"span": ["0.05*L", "0.45*L"], "deflection": "-1.53283100488101e-5*I*L**3*P + 0.0773006675761492*I*L**2*P*x - 0.05*I*L*P*x**2*exp(-1) - 0.216666666666667*I*P*x**3*exp(-1)", "rotation": "0.0773006675761492*I*L**2*P - 0.1*I*L*P*x*exp(-1) - 0.65*I*P*x**2*exp(-1)"}, {"span": ["0.45*L", "0.85*L"], "deflection": "-0.0111896663356314*I*L**3*P + 0.151796254413366*I*L**2*P*x - 0.5*I*L*P*x**2*exp(-1) + 0.116666666666667*I*P*x**3*exp(-1)", "rotation": "0.151796254413366*I*L**2*P - 1.0*I*L*P*x*exp(-1) + 0.35*I*P*x**2*exp(-1)"}, {"span": ["0.85*L", "L"], "deflection": "-0.0864976536054353*I*L**3*P + 0.417589150659733*I*L**2*P*x - 1.35*I*L*P*x**2*exp(-1) + 0.45*I*P*x**3*exp(-1)", "rotation": "0.417589150659733*I*L**2*P - 2.7*I*L*P*x*exp(-1) + 1.35*I*P*x**2*exp(-1)"}]}
|
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