A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
_
_ASSERT /util.mpl line 24
A
a_E0 /embedded/EX0.mpl line 20
a_E1 /embedded/EX0.mpl line 21
a_from_t_approx /projective/picard_fuchs.mpl line 30
a_H0 /hyperbolic/HX0.mpl line 24
a_H1 /hyperbolic/HX0.mpl line 25
a_H_regular /hyperbolic/HX.mpl line 588
A_P /projective/PX.mpl line 9
A_P0 /projective/PX0.mpl line 22
a_P0 /projective/PX0.mpl line 20
a_P1 /projective/PX0.mpl line 21
A_P1 /projective/PX0.mpl line 23
a_star_E /embedded/extra_curves.mpl line 15
ab_rels /embedded/roothalf/galois.mpl line 207
act_A /embedded/invariants.mpl line 151
act_A_rule /embedded/invariants.mpl line 150
act_AT_rule /embedded/roothalf/group64.mpl line 28
act_C /projective/PX.mpl line 139
act_c_data /cromulent.mpl line 162
act_Cayley /embedded/roothalf/cayley_surface.mpl line 20
act_disc_delta /embedded/disc_proj.mpl line 20
act_disc_pi /embedded/disc_proj.mpl line 35
act_disc_zeta /embedded/disc_proj.mpl line 58
act_E /embedded/EX.mpl line 73
act_Em /projective/ellquot.mpl line 221
act_Em_0 /projective/ellquot.mpl line 211
act_Ep /projective/ellquot.mpl line 201
act_Ep_0 /projective/ellquot.mpl line 191
act_gauss /embedded/geometry.mpl line 280
act_H /hyperbolic/HX.mpl line 92
act_H0 /hyperbolic/HX0.mpl line 82
act_H1 /hyperbolic/HX0.mpl line 83
act_hex /embedded/invariants.mpl line 206
act_hopf /Rn.mpl line 452
act_on_Pi /hyperbolic/Pi.mpl line 424
act_P /projective/PX.mpl line 117
act_P_0 /projective/PX.mpl line 99
act_Pi /hyperbolic/Pi.mpl line 271
act_Pi0 /hyperbolic/Pi.mpl line 286
act_Pi1 /hyperbolic/Pi.mpl line 297
act_Pi1_map /hyperbolic/Pi.mpl line 310
act_Pi1_matrix /hyperbolic/Pi.mpl line 373
act_Pi_tilde /hyperbolic/Pi.mpl line 526
act_Pi_tilde0 /hyperbolic/Pi.mpl line 536
act_PK /projective/galois.mpl line 61
act_PK_rule /projective/galois.mpl line 44
act_R4 /embedded/EX.mpl line 55
act_S2 /projective/PX.mpl line 160
act_TCm /embedded/roothalf/torus_quotients.mpl line 602
act_TCmq /embedded/roothalf/torus_quotients.mpl line 829
act_TPp /embedded/roothalf/torus_quotients.mpl line 333
act_TPpa /embedded/roothalf/torus_quotients.mpl line 494
act_TT /embedded/roothalf/torus_quotients.mpl line 154
act_TTC /embedded/roothalf/torus_quotients.mpl line 136
act_TTP /embedded/roothalf/torus_quotients.mpl line 118
act_V /group.mpl line 72
act_Z4 /cromulent.mpl line 335
add_check /checks.mpl line 47
alpha_beta /embedded/roothalf/forms.mpl line 24
alpha_E /embedded/roothalf/E_roothalf.mpl line 140
alpha_form /embedded/roothalf/forms.mpl line 3
am_H /hyperbolic/HX.mpl line 9
am_H0 /hyperbolic/HX0.mpl line 28
am_H1 /hyperbolic/HX0.mpl line 30
am_period /projective/picard_fuchs.mpl line 5
am_period_approx /projective/picard_fuchs.mpl line 26
am_period_legendre /projective/picard_fuchs.mpl line 8
angle_latex /latex.mpl line 30
annular_chart /embedded/annular_charts.mpl line 1
annular_chart0 /embedded/roothalf/E_roothalf.mpl line 366
ap_H /hyperbolic/HX.mpl line 8
ap_H0 /hyperbolic/HX0.mpl line 27
ap_H1 /hyperbolic/HX0.mpl line 29
ap_period /projective/picard_fuchs.mpl line 4
ap_period_approx /projective/picard_fuchs.mpl line 25
ap_period_legendre /projective/picard_fuchs.mpl line 7
assert_count /checks.mpl line 23
au /embedded/roothalf/galois.mpl line 101
aut_V_phi /group.mpl line 109
average_AT /embedded/roothalf/group64.mpl line 160
B
barycentric_coords /embedded/barycentric.mpl line 14
barycentric_face_plot /embedded/barycentric.mpl line 68
barycentric_jacobian /embedded/barycentric.mpl line 50
beta /hyperbolic/HX.mpl line 110
beta0 /hyperbolic/HX0.mpl line 42
beta0_matrix /hyperbolic/HX0.mpl line 47
beta1 /hyperbolic/HX0.mpl line 43
beta1_matrix /hyperbolic/HX0.mpl line 48
beta_E /embedded/roothalf/E_roothalf.mpl line 141
beta_form /embedded/roothalf/forms.mpl line 9
beta_G_twist /hyperbolic/Pi.mpl line 455
beta_L_word /hyperbolic/Pi.mpl line 387
beta_M_word /hyperbolic/Pi.mpl line 399
beta_matrix /hyperbolic/HX0.mpl line 46
beta_N_word /hyperbolic/Pi.mpl line 411
beta_offset_latex /hyperbolic/plots.mpl line 267
beta_s_word /hyperbolic/Pi.mpl line 570
beta_SL2R /hyperbolic/HX.mpl line 124
beta_SL2R0 /hyperbolic/HX0.mpl line 44
beta_SL2R1 /hyperbolic/HX0.mpl line 45
bitwise_and /util.mpl line 262
bm_P /projective/PX.mpl line 7
bp_P /projective/PX.mpl line 6
brent_fsolve /brent.mpl line 20
brioschi_formula /embedded/curvature.mpl line 4
brioschi_from_embedding /embedded/curvature.mpl line 67
bs /embedded/roothalf/galois.mpl line 109
bu /embedded/roothalf/galois.mpl line 105
BXYR /embedded/roothalf/galois.mpl line 263
BXYR_chars /embedded/roothalf/galois.mpl line 303
BXYR_orbits /embedded/roothalf/galois.mpl line 274
C
c_action_witness_H /hyperbolic/HX.mpl line 436
c_algebraic /embedded/extra_curves.mpl line 1
c_alt /embedded/roothalf/E_roothalf.mpl line 143
c_basepoint /cromulent.mpl line 212
c_cayley /embedded/cayley.mpl line 110
c_check_E /embedded/EX.mpl line 130
c_check_E0 /embedded/EX0.mpl line 166
c_check_H /hyperbolic/HX.mpl line 479
c_check_H0 /hyperbolic/HX0.mpl line 122
c_check_P /projective/PX.mpl line 264
c_colour /cromulent.mpl line 229
c_E /embedded/EX.mpl line 103
c_E0 /embedded/EX0.mpl line 81
c_E1 /embedded/EX0.mpl line 82
c_E_p /embedded/EX.mpl line 99
c_E_tau /embedded/EX.mpl line 96
c_elliptic_a[5] /embedded/roothalf/E_roothalf.mpl line 171
c_Em /projective/ellquot.mpl line 299
c_Em0_0 /projective/PX0.mpl line 43
c_Em_0 /projective/ellquot.mpl line 297
c_Em_0_approx /projective/ellquot.mpl line 627
c_Ep /projective/ellquot.mpl line 298
c_Ep0_0 /projective/PX0.mpl line 42
c_Ep_0 /projective/ellquot.mpl line 296
c_Ep_0_approx[k] /projective/ellquot.mpl line 592
c_gen /cromulent.mpl line 61
c_H /hyperbolic/HX.mpl line 375
c_H0 /hyperbolic/HX0.mpl line 52
c_H1 /hyperbolic/HX0.mpl line 53
c_H_cycle /hyperbolic/HX.mpl line 425
c_H_ends /hyperbolic/HX.mpl line 402
c_H_label /hyperbolic/HX0.mpl line 54
c_H_p /hyperbolic/HX.mpl line 346
c_H_p0 /hyperbolic/HX0.mpl line 95
c_H_r /hyperbolic/HX.mpl line 354
c_H_simple /hyperbolic/HX.mpl line 393
c_H_speed /hyperbolic/HX.mpl line 411
c_H_speed0 /hyperbolic/HX0.mpl line 91
c_homology /cromulent.mpl line 321
c_HS /hyperbolic/schwarz.mpl line 97
c_involution /cromulent.mpl line 196
C_mult /Rn.mpl line 133
c_P /projective/PX.mpl line 228
c_P0 /projective/PX0.mpl line 39
c_P1 /projective/PX0.mpl line 40
c_P_jj /projective/PX.mpl line 203
c_param_E /embedded/EX.mpl line 167
c_param_E0 /embedded/EX0.mpl line 83
c_param_E1 /embedded/EX0.mpl line 84
c_PS /hyperbolic/schwarz.mpl line 120
c_quasirational /embedded/roothalf/rational.mpl line 17
c_rational /embedded/roothalf/rational.mpl line 5
c_S2 /embedded/roothalf/sphere_quotients.mpl line 78
c_TCm /embedded/roothalf/torus_quotients.mpl line 678
c_TCmq /embedded/roothalf/torus_quotients.mpl line 889
c_TCmq_mob[ 0] /embedded/roothalf/torus_quotients.mpl line 915
c_TCp /embedded/roothalf/torus_quotients.mpl line 376
c_TCpa /embedded/roothalf/torus_quotients.mpl line 537
c_TEm_a /projective/ellquot.mpl line 610
c_TEm_approx /projective/ellquot.mpl line 597
c_TEp_a /projective/ellquot.mpl line 578
c_TEp_approx /projective/ellquot.mpl line 567
C_to_Em0_0 /projective/PX0.mpl line 73
C_to_Em_0 /projective/ellquot.mpl line 475
C_to_Ep0_0 /projective/PX0.mpl line 67
C_to_Ep_0 /projective/ellquot.mpl line 474
C_to_R2 /Rn.mpl line 130
C_to_S2 /Rn.mpl line 251
c_TPm /embedded/roothalf/torus_quotients.mpl line 650
c_TPmq /embedded/roothalf/torus_quotients.mpl line 870
c_TPp /embedded/roothalf/torus_quotients.mpl line 353
c_TPpa /embedded/roothalf/torus_quotients.mpl line 514
c_track /cromulent.mpl line 106
c_track_E /embedded/extra_vertices.mpl line 240
c_trig[5] /embedded/roothalf/E_roothalf.mpl line 174
c_TTC /embedded/roothalf/torus_quotients.mpl line 216
c_TTP /embedded/roothalf/torus_quotients.mpl line 174
C_winding_number /Rn.mpl line 544
C_zone /Rn.mpl line 533
ca /projective/ellquot.mpl line 527
ca_string /projective/ellquot.mpl line 528
cap_product /cromulent.mpl line 377
cayley /embedded/roothalf/cayley_surface.mpl line 1
cayley_g /embedded/roothalf/cayley_surface.mpl line 17
cayley_lines /embedded/cayley.mpl line 46
CC /Rn.mpl line 24
CC0 /Rn.mpl line 25
CC1 /Rn.mpl line 26
ccurve /plots.mpl line 258
character /group.mpl line 190
characters /group.mpl line 172
chart /embedded/roothalf/sphere_quotients.mpl line 100
check_all /checks.mpl line 37
check_char /embedded/invariants.mpl line 186
check_precromulent /cromulent.mpl line 411
checklist /checks.mpl line 35
christoffel_formula /embedded/curvature.mpl line 36
christoffel_from_embedding /embedded/curvature.mpl line 71
christoffel_symbol /embedded/curvature.mpl line 15
Class/Declare` /class.mpl line 728
Class/List` /class.mpl line 1353
Class/Print`::'void' /class.mpl line 1274
Class/ShowConstructor` /class.mpl line 1347
Class/ShowInfo` /class.mpl line 1281
Class/ShowMethod` /class.mpl line 1341
Class/ToString` /class.mpl line 1176
CLASS: automorphy_system /hyperbolic/automorphic.mpl line 1
CLASS: domain /domain/domain.mpl line 82
CLASS: domain_edge /domain/domain_edge.mpl line 1
CLASS: domain_face /domain/domain_face.mpl line 1
CLASS: domain_point /domain/domain_point.mpl line 1
CLASS: E_atlas /embedded/roothalf/E_atlas.mpl line 626
CLASS: E_chart /embedded/roothalf/E_atlas.mpl line 1
CLASS: E_edge /embedded/E_domain.mpl line 363
CLASS: E_face /embedded/E_domain.mpl line 382
CLASS: E_grid /embedded/E_domain.mpl line 530
CLASS: E_point /embedded/E_domain.mpl line 1
CLASS: E_quadrature_rule /embedded/E_quadrature.mpl line 1
CLASS: E_sample_point /embedded/E_domain.mpl line 341
CLASS: E_to_S_map /embedded/roothalf/E_to_S.mpl line 1
CLASS: EH_atlas /embedded/roothalf/EH_atlas.mpl line 183
CLASS: EH_atlas_edge /embedded/roothalf/EH_atlas.mpl line 157
CLASS: EH_chart /embedded/roothalf/EH_atlas.mpl line 1
CLASS: grid /domain/grid.mpl line 1
CLASS: H_to_P_map /hyperbolic/H_to_P.mpl line 1
CLASS: net /nets.mpl line 1
CLASS: P_to_H_chart /hyperbolic/P_to_H.mpl line 1
CLASS: P_to_H_map /hyperbolic/P_to_H.mpl line 160
CLASS: triangle_quadrature_rule /quadrature/quadrature.mpl line 30
classify_point_E0 /embedded/EX0.mpl line 177
cline /plots.mpl line 270
cohomology_vector /embedded/homology.mpl line 31
conformal_twist /embedded/geometry.mpl line 24
conj /util.mpl line 161
CONSTRAINT /domain/domain.mpl line 9
constraint_colour /domain/domain.mpl line 51
constraint_for_square /domain/domain.mpl line 71
constraint_name /domain/domain.mpl line 24
constraint_table /domain/domain.mpl line 64
coord_laplacian /embedded/curvature.mpl line 78
corner_shift_H0 /hyperbolic/HX0.mpl line 100
corner_unshift_H0 /hyperbolic/HX0.mpl line 101
cplot /plots.mpl line 288
cpoint /plots.mpl line 264
cpolygon /plots.mpl line 252
crease /embedded/roothalf/crease.mpl line 7
crease_eq /embedded/roothalf/crease.mpl line 23
crease_eq_polar /embedded/roothalf/crease.mpl line 29
crease_trig /embedded/roothalf/crease.mpl line 15
cross_product /Rn.mpl line 84
cross_product4 /Rn.mpl line 96
ctext /plots.mpl line 278
cubic_chart0 /embedded/roothalf/E_roothalf.mpl line 343
curvature /embedded/geometry.mpl line 218
curvature0 /embedded/EX0.mpl line 28
curvature1 /embedded/EX0.mpl line 38
curvature_z /embedded/invariants.mpl line 246
curvature_z0 /embedded/EX0.mpl line 30
curvature_z1 /embedded/EX0.mpl line 40
curve_index_by_constraint /domain/domain.mpl line 38
D
d2 /Rn.mpl line 66
d2f /Rn.mpl line 67
d3 /Rn.mpl line 68
d3f /Rn.mpl line 69
d4 /Rn.mpl line 70
d4f /Rn.mpl line 71
D_alpha /embedded/roothalf/forms.mpl line 36
d_CP2 /projective/ellquot.mpl line 23
d_CP2_0 /projective/ellquot.mpl line 27
d_CP3 /projective/ellquot.mpl line 99
d_CP4 /projective/PX.mpl line 48
d_Ep /projective/ellquot.mpl line 500
d_hyp /hyperbolic/HX.mpl line 56
d_hyp_c /hyperbolic/HX.mpl line 53
d_P_0 /projective/PX.mpl line 52
de_rham_d0 /embedded/roothalf/forms.mpl line 83
de_rham_d1 /embedded/roothalf/forms.mpl line 86
dg /embedded/geometry.mpl line 6
dg0 /embedded/EX0.mpl line 26
dg1 /embedded/EX0.mpl line 36
disc_delta_lift /embedded/disc_proj.mpl line 12
disc_delta_lift_aux /embedded/disc_proj.mpl line 9
disc_delta_proj /embedded/disc_proj.mpl line 3
disc_pi_proj /embedded/disc_proj.mpl line 32
disc_zeta_det /embedded/roothalf/zeta.mpl line 52
disc_zeta_lift /embedded/roothalf/zeta.mpl line 59
disc_zeta_lift0 /embedded/roothalf/zeta.mpl line 70
disc_zeta_lift_alt /embedded/roothalf/zeta.mpl line 92
disc_zeta_proj /embedded/disc_proj.mpl line 55
disc_zeta_q0 /embedded/roothalf/zeta.mpl line 2
disc_zeta_q1 /embedded/roothalf/zeta.mpl line 6
disc_zeta_q2 /embedded/roothalf/zeta.mpl line 13
disc_zeta_q3 /embedded/roothalf/zeta.mpl line 17
disc_zeta_q4 /embedded/roothalf/zeta.mpl line 24
disc_zeta_q5 /embedded/roothalf/zeta.mpl line 28
disc_zeta_q6 /embedded/roothalf/zeta.mpl line 35
disc_zeta_q7 /embedded/roothalf/zeta.mpl line 45
disc_zeta_q8 /embedded/roothalf/zeta.mpl line 49
disc_zeta_q9 /embedded/roothalf/zeta.mpl line 85
dist /Rn.mpl line 64
distv /Rn.mpl line 80
div_Em /projective/ellquot.mpl line 490
div_Emq /projective/ellquot.mpl line 494
div_Ep /projective/ellquot.mpl line 486
dp /Rn.mpl line 75
dp2 /Rn.mpl line 76
dp3 /Rn.mpl line 77
dp4 /Rn.mpl line 78
dpv /Rn.mpl line 79
dunavant_jk_list /quadrature/quadrature.mpl line 14
dunavant_m /quadrature/quadrature.mpl line 20
dunavant_v /quadrature/quadrature.mpl line 8
dxy /embedded/invariants.mpl line 75
dxy0 /embedded/EX0.mpl line 104
dyx /embedded/invariants.mpl line 64
dyx0 /embedded/EX0.mpl line 93
dyz /embedded/invariants.mpl line 67
dz_cross_alpha /embedded/roothalf/forms.mpl line 46
dzx /embedded/invariants.mpl line 80
dzx /embedded/invariants.mpl line 65
dzy /embedded/invariants.mpl line 66
E
E_domain /embedded/E_domain.mpl line 677
E_hyp /hyperbolic/HX.mpl line 62
E_hyp_c /hyperbolic/HX.mpl line 59
E_to_S2 /embedded/roothalf/sphere_quotients.mpl line 29
E_to_S2_distortion /embedded/roothalf/sphere_quotients.mpl line 157
E_to_S2_jacobian /embedded/roothalf/sphere_quotients.mpl line 152
E_to_S2_s_max /embedded/roothalf/sphere_quotients.mpl line 26
E_to_S2_s_max_z1 /embedded/roothalf/sphere_quotients.mpl line 20
E_to_S2_s_max_z2 /embedded/roothalf/sphere_quotients.mpl line 23
E_to_S2_s_x /embedded/roothalf/sphere_quotients.mpl line 17
E_to_S2_s_z /embedded/roothalf/sphere_quotients.mpl line 14
E_to_S2_tilde /embedded/roothalf/sphere_quotients.mpl line 10
E_to_S_conformal_error /embedded/roothalf/better_sphere_quotients.mpl line 397
E_to_S_energy /embedded/roothalf/better_sphere_quotients.mpl line 279
E_to_S_energy_coeff /embedded/roothalf/better_sphere_quotients.mpl line 177
E_to_S_energy_coeff_string /embedded/roothalf/better_sphere_quotients.mpl line 178
E_to_S_energy_denom /embedded/roothalf/better_sphere_quotients.mpl line 176
E_to_S_jacobian /embedded/roothalf/better_sphere_quotients.mpl line 373
E_to_S_jacobian_coeff /embedded/roothalf/better_sphere_quotients.mpl line 304
E_to_S_jacobian_coeff_string /embedded/roothalf/better_sphere_quotients.mpl line 305
E_to_TCm /embedded/roothalf/torus_quotients.mpl line 588
E_to_TCm_xyr /embedded/roothalf/torus_quotients.mpl line 577
E_to_TCmq /embedded/roothalf/torus_quotients.mpl line 738
E_to_TCmq_xyr /embedded/roothalf/torus_quotients.mpl line 730
E_to_TCp /embedded/roothalf/torus_quotients.mpl line 290
E_to_TCp_xyr /embedded/roothalf/torus_quotients.mpl line 281
E_to_TCpa /embedded/roothalf/torus_quotients.mpl line 431
E_to_TCpa_xyr /embedded/roothalf/torus_quotients.mpl line 422
E_to_TPm /embedded/roothalf/torus_quotients.mpl line 585
E_to_TPm_jacobian /embedded/roothalf/torus_quotients.mpl line 597
E_to_TPm_xyr /embedded/roothalf/torus_quotients.mpl line 569
E_to_TPmq /embedded/roothalf/torus_quotients.mpl line 753
E_to_TPmq_jacobian /embedded/roothalf/torus_quotients.mpl line 756
E_to_TPp /embedded/roothalf/torus_quotients.mpl line 289
E_to_TPp_jacobian /embedded/roothalf/torus_quotients.mpl line 292
E_to_TPp_xyr /embedded/roothalf/torus_quotients.mpl line 278
E_to_TPpa /embedded/roothalf/torus_quotients.mpl line 428
E_to_TPpa_jacobian /embedded/roothalf/torus_quotients.mpl line 434
E_to_TPpa_xyr /embedded/roothalf/torus_quotients.mpl line 419
E_to_TT /embedded/roothalf/torus_quotients.mpl line 54
E_to_TT_xyr /embedded/roothalf/torus_quotients.mpl line 44
E_to_TTC /embedded/roothalf/torus_quotients.mpl line 48
E_to_TTC_xyr /embedded/roothalf/torus_quotients.mpl line 28
E_to_TTP /embedded/roothalf/torus_quotients.mpl line 51
E_to_TTP_xyr /embedded/roothalf/torus_quotients.mpl line 36
E_winding_number /embedded/homology.mpl line 14
E_winding_numbers /embedded/homology.mpl line 23
edge_colour /cromulent.mpl line 265
edge_curve /cromulent.mpl line 247
edges /cromulent.mpl line 132
elliptic_a /embedded/roothalf/rational.mpl line 205
elliptic_a_poly /embedded/roothalf/E_roothalf.mpl line 168
elliptic_b_poly /embedded/roothalf/E_roothalf.mpl line 185
elliptic_b_proj /embedded/roothalf/E_roothalf.mpl line 188
elliptic_r /embedded/roothalf/rational.mpl line 201
elliptic_rel /embedded/roothalf/rational.mpl line 210
elliptic_t /embedded/roothalf/rational.mpl line 195
elliptic_u /embedded/roothalf/rational.mpl line 198
Em0_0_e[i] /projective/PX0.mpl line 57
Em0_0_trans[i] /projective/PX0.mpl line 60
Em_0_to_C /projective/ellquot.mpl line 517
Em_0_to_Ep_0 /projective/ellquot.mpl line 409
Em_0_trans /projective/ellquot.mpl line 360
Em_e /projective/ellquot.mpl line 322
Em_rel /projective/ellquot.mpl line 46
Em_rels /projective/ellquot.mpl line 90
Em_to_Ep /projective/ellquot.mpl line 425
Em_to_P_0 /projective/ellquot.mpl line 148
Em_trans /projective/ellquot.mpl line 375
Em_vars /projective/ellquot.mpl line 89
ends_to_centre /hyperbolic/HX.mpl line 331
ends_to_radius /hyperbolic/HX.mpl line 336
Ep0_0_e[i] /projective/PX0.mpl line 56
Ep0_0_trans[i] /projective/PX0.mpl line 59
Ep0_circle_cos_equation /projective/ellquot.mpl line 701
Ep0_circle_equation /projective/ellquot.mpl line 707
Ep0_circle_lift_a /projective/ellquot.mpl line 651
Ep0_circle_lift_b /projective/ellquot.mpl line 655
Ep0_circle_lift_c /projective/ellquot.mpl line 663
Ep0_circle_lift_d /projective/ellquot.mpl line 680
Ep0_circle_lift_e /projective/ellquot.mpl line 685
Ep0_circle_lift_f /projective/ellquot.mpl line 694
Ep_0_e /projective/ellquot.mpl line 314
Ep_0_e /projective/ellquot.mpl line 308
Ep_0_to_C /projective/ellquot.mpl line 511
Ep_0_to_Em_0 /projective/ellquot.mpl line 401
Ep_0_trans /projective/ellquot.mpl line 327
Ep_e /projective/ellquot.mpl line 321
Ep_rel /projective/ellquot.mpl line 42
Ep_rels /projective/ellquot.mpl line 86
Ep_to_Em /projective/ellquot.mpl line 417
Ep_to_P_0 /projective/ellquot.mpl line 124
Ep_trans /projective/ellquot.mpl line 342
Ep_vars /projective/ellquot.mpl line 85
Epm_w /projective/ellquot.mpl line 433
euclidean_spray /embedded/roothalf/E_roothalf.mpl line 415
extra_galois_rels /embedded/roothalf/galois.mpl line 216
F
f /embedded/EX.mpl line 8
F16_C0_quasirational_points /embedded/roothalf/rational.mpl line 376
F16_C1_quasirational_points /embedded/roothalf/rational.mpl line 379
F16_C3_quasirational_points /embedded/roothalf/rational.mpl line 382
F16_C5_quasirational_points /embedded/roothalf/rational.mpl line 385
F16_curve_limits /cromulent.mpl line 303
F16_stereo /embedded/roothalf/E_roothalf.mpl line 256
F16_vertices /cromulent.mpl line 298
F1_arcs /hyperbolic/HX.mpl line 562
F1_area /hyperbolic/HX.mpl line 578
F1_edge /hyperbolic/HX.mpl line 540
F1_H_B /hyperbolic/HX.mpl line 492
F1_pairing /hyperbolic/HX.mpl line 554
F4_curve_limits /cromulent.mpl line 284
F4_vertices /cromulent.mpl line 276
f_1 /embedded/EX.mpl line 6
f_2 /embedded/EX.mpl line 7
farey /embedded/roothalf/rational.mpl line 46
farey_count /embedded/roothalf/rational.mpl line 41
find_c_fourier /embedded/roothalf/E_roothalf.mpl line 196
find_ca /projective/ellquot.mpl line 526
find_cayley_lines /embedded/cayley.mpl line 3
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find_E_to_S_energy_coeff /embedded/roothalf/better_sphere_quotients.mpl line 175
find_E_to_S_jacobian_coeff /embedded/roothalf/better_sphere_quotients.mpl line 303
find_flip /groupoid.mpl line 248
find_flips /groupoid.mpl line 269
find_G64_subgroups /embedded/roothalf/group64.mpl line 212
find_hopf_preimages /Rn.mpl line 441
find_Pi_word /hyperbolic/Pi.mpl line 586
find_Pi_word_points /hyperbolic/Pi.mpl line 606
find_Pi_word_points0 /hyperbolic/Pi.mpl line 626
find_square_diffeo_E0_inverse /embedded/roothalf/square_diffeo.mpl line 140
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find_v_E_index /embedded/extra_vertices.mpl line 29
find_v_E_permlist /embedded/extra_vertices.mpl line 43
find_v_on_c_E /embedded/extra_vertices.mpl line 254
fixed_vertices /group.mpl line 98
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forms_to_y /embedded/roothalf/forms.mpl line 64
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from_cycles /group.mpl line 63
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G64_classes /embedded/roothalf/group64.mpl line 187
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G64_lookup /embedded/roothalf/group64.mpl line 169
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G_inv /group.mpl line 121
G_latex /latex.mpl line 8
G_mult /group.mpl line 120
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G_s_word /hyperbolic/Pi.mpl line 552
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g_stereo1 /embedded/EX0.mpl line 41
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Gamma_base /groupoid.mpl line 305
Gamma_beta /groupoid.mpl line 293
Gamma_flip /groupoid.mpl line 218
Gamma_flip0 /groupoid.mpl line 203
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Gamma_gens /groupoid.mpl line 17
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Gamma_o /groupoid.mpl line 130
Gamma_reduce /groupoid.mpl line 97
Gamma_src /groupoid.mpl line 94
Gamma_tgt /groupoid.mpl line 95
gauss_map /embedded/geometry.mpl line 277
gauss_map0 /embedded/roothalf/E_roothalf.mpl line 472
gen_path /groupoid.mpl line 177
general_hyperbolic_metric /embedded/curvature.mpl line 126
geodesic_crossing /hyperbolic/geodesics.mpl line 31
geodesic_end_H /hyperbolic/geodesics.mpl line 13
geodesic_H /hyperbolic/geodesics.mpl line 11
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geodesic_shift_H /hyperbolic/geodesics.mpl line 15
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geodesic_start_H /hyperbolic/geodesics.mpl line 12
grad_x /embedded/invariants.mpl line 60
grad_y /embedded/invariants.mpl line 61
grad_z /embedded/invariants.mpl line 62
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H4 /group.mpl line 10
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H_mult /Rn.mpl line 412
H_quotient /Rn.mpl line 426
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heun_F01 /hyperbolic/schwarz.mpl line 59
heun_F1 /hyperbolic/schwarz.mpl line 72
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heun_F11 /hyperbolic/schwarz.mpl line 65
homology_character /cromulent.mpl line 369
homology_phi /embedded/homology.mpl line 4
homology_theta_m /cromulent.mpl line 385
homology_theta_p /cromulent.mpl line 381
homology_u /cromulent.mpl line 357
hopf_map /Rn.mpl line 435
hyp_midpoint /hyperbolic/HX.mpl line 78
hyp_sphere /hyperbolic/HX.mpl line 68
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I_to_R /Rn.mpl line 237
I_to_S1 /Rn.mpl line 240
inner_quasirational_points /embedded/roothalf/rational.mpl line 372
inner_quasirational_points_latex /embedded/roothalf/rational.mpl line 397
inner_quasirational_points_tikz /embedded/roothalf/rational.mpl line 424
inner_quasirational_projections /embedded/roothalf/rational.mpl line 237
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is_equal_E /embedded/EX.mpl line 48
is_equal_Em /projective/ellquot.mpl line 72
is_equal_Em_list /projective/ellquot.mpl line 69
is_equal_Ep /projective/ellquot.mpl line 56
is_equal_Ep_list /projective/ellquot.mpl line 53
is_equal_H /hyperbolic/HX.mpl line 28
is_equal_P /projective/PX.mpl line 84
is_equal_P_list /projective/PX.mpl line 81
is_geodesic /embedded/roothalf/E_roothalf.mpl line 400
is_in_Em0_0 /projective/PX0.mpl line 50
is_in_Ep0_0 /projective/PX0.mpl line 49
is_in_F16_E /embedded/EX.mpl line 215
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is_in_F16_E0_measure /embedded/EX0.mpl line 159
is_in_F16_E1 /embedded/EX0.mpl line 220
is_in_F16_H /hyperbolic/HX.mpl line 515
is_in_F16_H0 /hyperbolic/HX0.mpl line 153
is_in_F16_P /projective/PX.mpl line 306
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is_in_F1_H0 /hyperbolic/HX0.mpl line 133
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is_in_F4_E0 /embedded/EX0.mpl line 194
is_in_F4_E0_measure /embedded/EX0.mpl line 156
is_in_F4_E1 /embedded/EX0.mpl line 215
is_in_F4_H /hyperbolic/HX.mpl line 508
is_in_F4_H0 /hyperbolic/HX0.mpl line 146
is_in_F4_P /projective/PX.mpl line 293
is_in_line /embedded/cayley.mpl line 127
is_inexact /util.mpl line 153
is_member_E /embedded/EX.mpl line 40
is_member_Em /projective/ellquot.mpl line 51
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is_member_P /projective/PX.mpl line 78
is_member_P_0 /projective/PX.mpl line 75
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iso_AT /embedded/roothalf/galois.mpl line 312
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j_Ep /projective/ellquot.mpl line 93
j_inv_Em /projective/ellquot.mpl line 97
j_inv_Ep /projective/ellquot.mpl line 94
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lambda_H /hyperbolic/HX.mpl line 86
lambda_H0 /hyperbolic/HX0.mpl line 69
lambda_H1 /hyperbolic/HX0.mpl line 75
lambda_inv_H /hyperbolic/HX.mpl line 87
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lambda_inv_H1 /hyperbolic/HX0.mpl line 76
lambda_sq_H /hyperbolic/HX.mpl line 88
lambda_sq_H0 /hyperbolic/HX0.mpl line 71
lambda_sq_H1 /hyperbolic/HX0.mpl line 77
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laplacian_from_embedding /embedded/curvature.mpl line 87
laplacian_z /embedded/geometry.mpl line 266
laplacian_z0 /embedded/EX0.mpl line 48
laplacian_z_C /embedded/geometry.mpl line 251
laplacian_z_C0 /embedded/EX0.mpl line 43
latt_a /projective/ellquot.mpl line 477
latt_a0 /projective/PX0.mpl line 93
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latt_f0 /projective/PX0.mpl line 98
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list_plots /plots.mpl line 47
load_plot /plots.mpl line 117
load_plots /plots.mpl line 129
load_square_diffeo_E0_inverse /embedded/roothalf/square_diffeo.mpl line 243
load_v_square_plots /embedded/plots.mpl line 789
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m_hyp /hyperbolic/HX.mpl line 50
m_hyp_c /hyperbolic/HX.mpl line 47
make_a_H_dependence_plot_tikz /hyperbolic/plots.mpl line 164
make_all_thumbnails /plots.mpl line 205
make_AT_rule /embedded/roothalf/group64.mpl line 93
make_c_E_plots /embedded/plots.mpl line 282
make_c_H_plots /hyperbolic/plots.mpl line 321
make_disc_delta_plot /embedded/plots.mpl line 799
make_disc_pi_plot /embedded/plots.mpl line 820
make_disc_zeta_plots /embedded/plots.mpl line 841
make_E_owl_plots /embedded/plots.mpl line 343
make_E_plots /embedded/plots.mpl line 317
make_E_sphere_plots /embedded/plots.mpl line 941
make_E_torus_plots /embedded/plots.mpl line 869
make_F16_plots /embedded/plots.mpl line 426
make_F1_plot_tikz /hyperbolic/plots.mpl line 207
make_F4_plot /embedded/plots.mpl line 410
make_H_plots /hyperbolic/plots.mpl line 409
make_H_to_P_graph_tikz /hyperbolic/plots.mpl line 504
make_H_to_P_poles_plot /hyperbolic/plots.mpl line 596
make_HX_plot_tikz /hyperbolic/plots.mpl line 55
make_hyperbolic_domains /hyperbolic/plots.mpl line 363
make_latex_character_table /group.mpl line 241
make_linear_projection_plots /embedded/roothalf/plots.mpl line 53
make_Omega_plots /embedded/plots.mpl line 369
make_PK_rule /projective/galois.mpl line 66
make_radius_plot_tikz /hyperbolic/plots.mpl line 472
make_square_diffeo_E0_inverse_plot /embedded/roothalf/square_diffeo.mpl line 257
make_square_diffeo_E0_record /embedded/roothalf/square_diffeo.mpl line 316
make_square_diffeo_H_plot /hyperbolic/plots.mpl line 520
make_t_proj_plots /embedded/plots.mpl line 735
make_tile_plot /hyperbolic/plots.mpl line 564
make_v_square_plots /embedded/plots.mpl line 763
make_w_proj_plots /embedded/plots.mpl line 707
make_wireframe_plots /plots.mpl line 367
make_y_proj_plots /embedded/plots.mpl line 459
make_z_proj_F16_tikz /embedded/plots.mpl line 625
make_z_proj_plots /embedded/plots.mpl line 505
map_to_S2_basic_test /embedded/roothalf/better_sphere_quotients.mpl line 15
marked_edges /cromulent.mpl line 133
metric_from_embedding /embedded/curvature.mpl line 51
midpoint_Delta /Rn.mpl line 325
midpoint_R2 /Rn.mpl line 574
midpoint_R3 /Rn.mpl line 575
midpoint_R4 /Rn.mpl line 576
midpoint_S2 /Rn.mpl line 580
midpoint_S3 /Rn.mpl line 589
midpoint_X /embedded/geometry.mpl line 85
min_centre_a /hyperbolic/geodesics.mpl line 40
min_centre_a0 /hyperbolic/HX0.mpl line 98
mm_period /projective/picard_fuchs.mpl line 2
mob /Rn.mpl line 312
mobius_matrix /hyperbolic/Pi.mpl line 334
move_to_X /embedded/geometry.mpl line 55
move_to_X_tolerance /embedded/geometry.mpl line 52
move_towards_X /embedded/geometry.mpl line 36
mp_period /projective/picard_fuchs.mpl line 1
mu_H /hyperbolic/HX.mpl line 89
mu_H0 /hyperbolic/HX0.mpl line 72
mu_H1 /hyperbolic/HX0.mpl line 78
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ndg_z /embedded/roothalf/forms.mpl line 33
net_0 /nets.mpl line 177
net_1 /nets.mpl line 269
net_2 /nets.mpl line 341
net_3 /nets.mpl line 421
net_5 /nets.mpl line 501
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NF_Ep /projective/ellquot.mpl line 87
NF_P /projective/PX.mpl line 32
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nm3 /Rn.mpl line 61
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nu_H1 /hyperbolic/HX0.mpl line 79
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num_vertices_E /embedded/extra_vertices.mpl line 18
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omega /embedded/geometry.mpl line 30
omega0 /embedded/EX0.mpl line 57
omega1 /embedded/EX0.mpl line 58
omega_Em /projective/ellquot.mpl line 264
orb_AT /embedded/roothalf/group64.mpl line 192
orb_char /embedded/roothalf/galois.mpl line 284
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oval_g /embedded/roothalf/E_roothalf.mpl line 120
oval_h /embedded/roothalf/E_roothalf.mpl line 121
oval_m /embedded/roothalf/E_roothalf.mpl line 132
owl_proj /embedded/roothalf/E_roothalf.mpl line 481
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p0_conformal_factor /embedded/roothalf/better_sphere_quotients.mpl line 506
p0_multipliers /embedded/roothalf/better_sphere_quotients.mpl line 450
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pc_P_lim /projective/PX.mpl line 250
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pg_curve /groupoid.mpl line 25
pg_inv /groupoid.mpl line 50
pg_src /groupoid.mpl line 54
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Pi_beta_alpha /hyperbolic/Pi.mpl line 156
Pi_beta_sigma /hyperbolic/Pi.mpl line 179
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Pi_mult /hyperbolic/Pi.mpl line 134
Pi_reduce /hyperbolic/Pi.mpl line 118
Pi_reduce_once /hyperbolic/Pi.mpl line 66
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Pi_sigma_beta /hyperbolic/Pi.mpl line 164
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picard_fuchs_LA /projective/picard_fuchs.mpl line 56
pics /plots.mpl line 12
PJ_to_Epm_0 /projective/ellquot.mpl line 183
PJ_trans /projective/ellquot.mpl line 167
PJ_trans /projective/ellquot.mpl line 164
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PK_rels /projective/galois.mpl line 4
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plane_proj_tikz /embedded/plots.mpl line 90
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planetext /plots.mpl line 239
pq_P /projective/PX.mpl line 60
prime_factors /util.mpl line 323
process_latex /util.mpl line 342
propagate_c_fourier /embedded/roothalf/E_roothalf.mpl line 229
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q_Em /projective/ellquot.mpl line 37
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quasirational_points /embedded/roothalf/rational.mpl line 388
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R2_to_C /Rn.mpl line 131
R2_winding_number /Rn.mpl line 555
R2_zone /Rn.mpl line 489
R3_to_S3 /Rn.mpl line 164
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r_period_approx /projective/picard_fuchs.mpl line 13
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R_to_S1 /Rn.mpl line 185
R_to_SC1 /Rn.mpl line 205
random_Delta_point /hyperbolic/HX.mpl line 527
random_S3_point /Rn.mpl line 466
random_triangle /embedded/barycentric.mpl line 84
random_X_point /embedded/geometry.mpl line 69
rational_grid_points /embedded/roothalf/rational.mpl line 451
rational_sphere_point /Rn.mpl line 565
recenter_H /hyperbolic/HX.mpl line 598
require_square_diffeo_E0_inverse /embedded/roothalf/square_diffeo.mpl line 248
retract_F16_E /embedded/EX.mpl line 231
retract_F16_E0 /embedded/EX0.mpl line 204
retract_F16_E1 /embedded/EX0.mpl line 225
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ry /embedded/roothalf/E_roothalf.mpl line 3
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S2_tangent_frame /Rn.mpl line 270
S2_to_C /Rn.mpl line 261
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s2p0_pattern /embedded/roothalf/better_sphere_quotients.mpl line 166
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s2p_pattern /embedded/roothalf/better_sphere_quotients.mpl line 111
s2p_plot /embedded/roothalf/better_sphere_quotients.mpl line 405
s2p_poly /embedded/roothalf/better_sphere_quotients.mpl line 133
s2p_poly_multipliers /embedded/roothalf/better_sphere_quotients.mpl line 119
s2p_poly_pattern /embedded/roothalf/better_sphere_quotients.mpl line 130
s2p_pp /embedded/roothalf/better_sphere_quotients.mpl line 472
s2p_qq /embedded/roothalf/better_sphere_quotients.mpl line 473
S3_polar /Rn.mpl line 339
S3_polar_inv /Rn.mpl line 344
S3_to_R3 /Rn.mpl line 161
s_H /hyperbolic/HX.mpl line 361
s_H0 /hyperbolic/HX0.mpl line 87
S_p1_inv /hyperbolic/schwarz.mpl line 36
S_p2_inv /hyperbolic/schwarz.mpl line 50
S_p_inv /hyperbolic/schwarz.mpl line 8
s_period /projective/picard_fuchs.mpl line 11
s_period_approx /projective/picard_fuchs.mpl line 19
s_rels /embedded/roothalf/galois.mpl line 149
s_schwarz /hyperbolic/schwarz.mpl line 78
s_to_t /embedded/roothalf/galois.mpl line 225
sample_circle_fit /hyperbolic/schwarz.mpl line 143
save_jpg /plots.mpl line 142
save_plot /plots.mpl line 76
save_plots /plots.mpl line 106
save_square_diffeo_E0_inverse /embedded/roothalf/square_diffeo.mpl line 234
save_thumbnail /plots.mpl line 176
save_tikz /latex.mpl line 161
SC1_to_I /Rn.mpl line 242
SC1_to_R /Rn.mpl line 223
SC1_to_R_alt /Rn.mpl line 232
schwarz_alpha /hyperbolic/schwarz.mpl line 25
schwarz_b_approx /hyperbolic/schwarz.mpl line 190
schwarz_c_approx /hyperbolic/schwarz.mpl line 193
schwarz_d_approx /hyperbolic/schwarz.mpl line 196
schwarz_phi /hyperbolic/schwarz.mpl line 14
schwarz_phi_inv /hyperbolic/schwarz.mpl line 15
schwarz_psi /hyperbolic/schwarz.mpl line 17
schwarz_psi_inv /hyperbolic/schwarz.mpl line 21
schwarz_xi /hyperbolic/schwarz.mpl line 40
schwarz_xi_inv /hyperbolic/schwarz.mpl line 41
schwarzian /hyperbolic/schwarz.mpl line 3
sd_alpha /embedded/roothalf/square_diffeo.mpl line 22
sd_plot /embedded/roothalf/square_diffeo.mpl line 375
sd_plot_base /embedded/roothalf/square_diffeo.mpl line 365
series_circle_fit /hyperbolic/schwarz.mpl line 129
series_on_R2 /Rn.mpl line 139
set_c_fourier /embedded/roothalf/E_roothalf.mpl line 212
simp /util.mpl line 244
simplify_E /embedded/EX.mpl line 26
simplify_H /hyperbolic/HX.mpl line 11
simplify_P /projective/PX.mpl line 66
SL2R_conjugate /hyperbolic/Pi.mpl line 355
small_p1_denom /hyperbolic/schwarz.mpl line 181
small_p1_poles /hyperbolic/schwarz.mpl line 173
sn_rels /embedded/roothalf/galois.mpl line 251
SNB /embedded/roothalf/galois.mpl line 240
spacetext /plots.mpl line 242
sphere_arc /plots.mpl line 298
square_diffeo_E0 /embedded/roothalf/square_diffeo.mpl line 27
square_diffeo_E0_alt /embedded/roothalf/square_diffeo.mpl line 36
square_diffeo_E0_alt_inv /embedded/roothalf/square_diffeo.mpl line 45
square_diffeo_E0_alt_inv_approx /embedded/roothalf/square_diffeo.mpl line 41
square_diffeo_E0_alt_J /embedded/roothalf/square_diffeo.mpl line 360
square_diffeo_E0_alt_JM /embedded/roothalf/square_diffeo.mpl line 356
square_diffeo_E0_inverse /embedded/roothalf/square_diffeo.mpl line 142
square_diffeo_E0_inverse_chebyshev_table /embedded/roothalf/square_diffeo.mpl line 144
square_diffeo_E0_inverse_order /embedded/roothalf/square_diffeo.mpl line 141
square_diffeo_E0_inverse_pattern /embedded/roothalf/square_diffeo.mpl line 297
square_diffeo_E0_inverse_search /embedded/roothalf/square_diffeo.mpl line 66
square_diffeo_E0_inverse_table /embedded/roothalf/square_diffeo.mpl line 143
square_diffeo_E0_J /embedded/roothalf/square_diffeo.mpl line 353
square_diffeo_E0_JM /embedded/roothalf/square_diffeo.mpl line 349
square_diffeo_H /hyperbolic/HX.mpl line 634
square_diffeo_H0 /hyperbolic/HX0.mpl line 263
square_diffeo_H0_inverse /hyperbolic/HX0.mpl line 266
square_diffeo_H_ca /hyperbolic/HX.mpl line 610
square_diffeo_H_ca0 /hyperbolic/HX0.mpl line 112
square_diffeo_H_cb /hyperbolic/HX.mpl line 622
square_diffeo_H_cb0 /hyperbolic/HX0.mpl line 114
square_diffeo_H_ma /hyperbolic/HX.mpl line 616
square_diffeo_H_ma0 /hyperbolic/HX0.mpl line 116
square_diffeo_H_mb /hyperbolic/HX.mpl line 628
square_diffeo_H_mb0 /hyperbolic/HX0.mpl line 118
square_diffeo_H_pa /hyperbolic/HX.mpl line 619
square_diffeo_H_pa0 /hyperbolic/HX0.mpl line 117
square_diffeo_H_pb /hyperbolic/HX.mpl line 631
square_diffeo_H_pb0 /hyperbolic/HX0.mpl line 119
square_diffeo_H_ra /hyperbolic/HX.mpl line 613
square_diffeo_H_ra0 /hyperbolic/HX0.mpl line 113
square_diffeo_H_rb /hyperbolic/HX.mpl line 625
square_diffeo_H_rb0 /hyperbolic/HX0.mpl line 115
square_diffeo_inv_H0 /hyperbolic/HX.mpl line 637
square_homeo /embedded/roothalf/square_diffeo.mpl line 5
square_homeo_cone_a /embedded/roothalf/square_diffeo.mpl line 11
square_norm_of_dg /embedded/geometry.mpl line 14
square_norm_of_dg0 /embedded/EX0.mpl line 27
square_norm_of_dg1 /embedded/EX0.mpl line 37
square_norm_of_dg_z /embedded/invariants.mpl line 241
square_norm_of_dg_z0 /embedded/EX0.mpl line 29
square_norm_of_dg_z1 /embedded/EX0.mpl line 39
squash_F16_H0 /hyperbolic/HX0.mpl line 237
ss /projective/ellquot.mpl line 30
st /embedded/roothalf/galois.mpl line 24
stab_A /embedded/roothalf/group64.mpl line 190
stab_AT /embedded/roothalf/group64.mpl line 191
stereo /Rn.mpl line 168
stereo_curve /Rn.mpl line 176
stereo_point /Rn.mpl line 173
stereo_polygon /Rn.mpl line 179
stereo_shift /Rn.mpl line 296
stereo_spacecurve /Rn.mpl line 182
stokes /embedded/roothalf/forms.mpl line 118
stokes_alpha /embedded/roothalf/forms.mpl line 125
strip_sign /util.mpl line 138
strip_worksheet /util.mpl line 498
strip_worksheets /util.mpl line 517
su /embedded/roothalf/galois.mpl line 83
surface_plot /embedded/plots.mpl line 232
switcher /Rn.mpl line 318
sx /embedded/roothalf/galois.mpl line 43
T
t_lift /embedded/roothalf/E_roothalf.mpl line 110
t_period /projective/picard_fuchs.mpl line 29
t_proj /embedded/roothalf/E_roothalf.mpl line 105
t_reduce /embedded/roothalf/galois.mpl line 231
t_rels /embedded/roothalf/galois.mpl line 138
t_schwarz /hyperbolic/schwarz.mpl line 79
T_to_R3 /Rn.mpl line 386
T_to_S2 /Rn.mpl line 373
T_to_TA /Rn.mpl line 368
T_to_TC /Rn.mpl line 369
T_to_TP /Rn.mpl line 370
t_to_xyz /embedded/roothalf/galois.mpl line 228
t_to_z /embedded/roothalf/E_roothalf.mpl line 107
t_xyz_reduce /embedded/roothalf/galois.mpl line 234
TA_to_R3 /Rn.mpl line 387
TA_to_S2 /Rn.mpl line 375
TA_to_T /Rn.mpl line 360
TA_to_TC /Rn.mpl line 358
TA_to_TP /Rn.mpl line 359
tan_sum /Rn.mpl line 246
tangent_a /embedded/roothalf/E_roothalf.mpl line 280
tangent_frame_a /embedded/roothalf/E_roothalf.mpl line 302
tangent_frame_b /embedded/roothalf/E_roothalf.mpl line 333
tangent_frame_u /embedded/geometry.mpl line 149
tangent_frame_v /embedded/geometry.mpl line 185
tangent_projector /embedded/geometry.mpl line 108
tangent_u /embedded/geometry.mpl line 123
tangent_uu /embedded/geometry.mpl line 120
tangent_v /embedded/geometry.mpl line 159
tangent_vv /embedded/geometry.mpl line 156
Tanh /hyperbolic/HX.mpl line 372
tau_algebraic /embedded/extra_curves.mpl line 18
TC_to_R3 /Rn.mpl line 388
TC_to_S2 /Rn.mpl line 376
TC_to_T /Rn.mpl line 363
TC_to_TA /Rn.mpl line 361
TC_to_TP /Rn.mpl line 362
TCm_to_TCmq /embedded/roothalf/torus_quotients.mpl line 741
TCp_to_E /embedded/roothalf/torus_quotients.mpl line 327
TCp_to_TCpa /embedded/roothalf/torus_quotients.mpl line 442
TCpa_to_E /embedded/roothalf/torus_quotients.mpl line 488
TCpa_to_TCp /embedded/roothalf/torus_quotients.mpl line 448
theta_E /embedded/extra_vertices.mpl line 81
theta_form /embedded/roothalf/forms.mpl line 15
three_circle /embedded/roothalf/rational.mpl line 180
three_pi /embedded/roothalf/rational.mpl line 149
three_primes /embedded/roothalf/rational.mpl line 146
three_roots /embedded/roothalf/rational.mpl line 137
three_u /embedded/roothalf/rational.mpl line 150
three_units_aux /embedded/roothalf/rational.mpl line 164
tidy /util.mpl line 117
tighten_once /embedded/geometry.mpl line 196
tikz_anchor /latex.mpl line 44
tikz_curve /latex.mpl line 107
tikz_label /latex.mpl line 132
tikz_line /latex.mpl line 90
tikz_plot /latex.mpl line 59
tikz_point /latex.mpl line 82
tile /hyperbolic/HX.mpl line 658
tiny_p1_denom /hyperbolic/schwarz.mpl line 170
tiny_p1_poles /hyperbolic/schwarz.mpl line 167
to_cycles /group.mpl line 53
torus_box_plot /plots.mpl line 329
Tp_to_E /embedded/roothalf/torus_quotients.mpl line 319
TP_to_R3 /Rn.mpl line 389
TP_to_S2 /Rn.mpl line 374
TP_to_T /Rn.mpl line 367
TP_to_TA /Rn.mpl line 364
TP_to_TC /Rn.mpl line 365
Tpa_p /embedded/roothalf/torus_quotients.mpl line 473
Tpa_to_E /embedded/roothalf/torus_quotients.mpl line 480
TPm_to_TPmq /embedded/roothalf/torus_quotients.mpl line 747
TPmq_to_E /embedded/roothalf/torus_quotients.mpl line 776
TPp_p /embedded/roothalf/torus_quotients.mpl line 302
TPp_to_E /embedded/roothalf/torus_quotients.mpl line 309
TPp_to_TPpa /embedded/roothalf/torus_quotients.mpl line 439
TPpa_p /embedded/roothalf/torus_quotients.mpl line 457
TPpa_to_E /embedded/roothalf/torus_quotients.mpl line 466
TPpa_to_TPp /embedded/roothalf/torus_quotients.mpl line 445
tr /embedded/roothalf/galois.mpl line 17
triangle_area /Rn.mpl line 600
triangle_lift /Rn.mpl line 121
triangle_proj /Rn.mpl line 113
tricentre_a /hyperbolic/geodesics.mpl line 46
trim /util.mpl line 95
ts_rels /embedded/roothalf/galois.mpl line 142
tt /Rn.mpl line 613
TT_to_E /embedded/roothalf/torus_quotients.mpl line 59
TT_to_E_generic /embedded/roothalf/torus_quotients.mpl line 93
TT_to_TTA /Rn.mpl line 402
TT_to_TTC /embedded/roothalf/torus_quotients.mpl line 21
TT_to_TTC /Rn.mpl line 403
TT_to_TTP /Rn.mpl line 404
TTA_to_TT /Rn.mpl line 395
TTA_to_TTC /Rn.mpl line 393
TTA_to_TTP /Rn.mpl line 394
TTC_to_E /embedded/roothalf/torus_quotients.mpl line 90
TTC_to_E_generic /embedded/roothalf/torus_quotients.mpl line 106
TTC_to_TCm /embedded/roothalf/torus_quotients.mpl line 591
TTC_to_TCmq /embedded/roothalf/torus_quotients.mpl line 744
TTC_to_TCp /embedded/roothalf/torus_quotients.mpl line 299
TTC_to_TCpa /embedded/roothalf/torus_quotients.mpl line 454
TTC_to_TT /embedded/roothalf/torus_quotients.mpl line 16
TTC_to_TT /Rn.mpl line 398
TTC_to_TTA /Rn.mpl line 396
TTC_to_TTP /Rn.mpl line 397
TTP_to_E_generic /embedded/roothalf/torus_quotients.mpl line 109
TTP_to_TPm /embedded/roothalf/torus_quotients.mpl line 594
TTP_to_TPmq /embedded/roothalf/torus_quotients.mpl line 750
TTP_to_TPp /embedded/roothalf/torus_quotients.mpl line 296
TTP_to_TPpa /embedded/roothalf/torus_quotients.mpl line 451
TTP_to_TT /Rn.mpl line 401
TTP_to_TTA /Rn.mpl line 399
TTP_to_TTC /Rn.mpl line 400
tu /embedded/roothalf/galois.mpl line 77
tubular_F /embedded/roothalf/E_roothalf.mpl line 434
tubular_F0 /embedded/roothalf/E_roothalf.mpl line 430
tubular_F_inv /embedded/roothalf/E_roothalf.mpl line 443
tubular_J /embedded/roothalf/E_roothalf.mpl line 440
tubular_J0 /embedded/roothalf/E_roothalf.mpl line 437
tubular_retract /embedded/roothalf/E_roothalf.mpl line 461
twisted_invariant /embedded/invariants.mpl line 228
two_circle /embedded/roothalf/rational.mpl line 119
two_pi /embedded/roothalf/rational.mpl line 88
two_primes /embedded/roothalf/rational.mpl line 85
two_roots /embedded/roothalf/rational.mpl line 76
two_u /embedded/roothalf/rational.mpl line 89
two_units_aux /embedded/roothalf/rational.mpl line 103
twz /projective/galois.mpl line 21
tx /embedded/roothalf/galois.mpl line 9
type/Gamma_element` /groupoid.mpl line 66
type/Pi_element` /hyperbolic/Pi.mpl line 9
type/Pi_tilde_element` /hyperbolic/Pi.mpl line 483
type/plot` /plots.mpl line 34
U
u_lin_rels /embedded/roothalf/galois.mpl line 173
u_quad_rels /embedded/roothalf/galois.mpl line 189
u_rels /embedded/roothalf/galois.mpl line 202
uf /embedded/invariants.mpl line 23
uf0 /embedded/EX0.mpl line 95
uf1 /embedded/EX0.mpl line 131
uncayley /embedded/roothalf/cayley_surface.mpl line 9
unit_tangent_a /embedded/roothalf/E_roothalf.mpl line 283
unit_tangent_b /embedded/roothalf/E_roothalf.mpl line 330
unit_tangent_u /embedded/geometry.mpl line 131
unit_tangent_v /embedded/geometry.mpl line 167
unnormalised_barycentric_coords /embedded/barycentric.mpl line 1
unnormalised_stokes /embedded/roothalf/forms.mpl line 107
unnormalised_tangent_complement_projector /embedded/geometry.mpl line 92
unnormalised_tangent_projector /embedded/geometry.mpl line 100
unstereo /Rn.mpl line 169
unstereo_shift /Rn.mpl line 302
uorb_AT /embedded/roothalf/group64.mpl line 193
ut /embedded/roothalf/galois.mpl line 62
uwz /projective/galois.mpl line 28
uy /embedded/invariants.mpl line 7
uy0 /embedded/EX0.mpl line 94
uy1 /embedded/EX0.mpl line 129
uz /embedded/invariants.mpl line 19
uz0 /embedded/EX0.mpl line 110
uz1 /embedded/EX0.mpl line 133
V
v0_conformal_test /embedded/roothalf/better_sphere_quotients.mpl line 40
v11_conformal_test /embedded/roothalf/better_sphere_quotients.mpl line 80
v3_conformal_test /embedded/roothalf/better_sphere_quotients.mpl line 54
v6_conformal_test /embedded/roothalf/better_sphere_quotients.mpl line 67
v_action_witness_H /hyperbolic/HX.mpl line 230
v_C /embedded/roothalf/sphere_quotients.mpl line 59
v_cycles /group.mpl line 71
v_E /embedded/EX.mpl line 78
v_E0 /embedded/EX0.mpl line 68
v_E1 /embedded/EX0.mpl line 69
v_E_permlist /embedded/extra_vertices.mpl line 62
v_Em /projective/ellquot.mpl line 283
v_Em0_0 /projective/PX0.mpl line 105
v_Em_0 /projective/ellquot.mpl line 267
v_Ep /projective/ellquot.mpl line 252
v_Ep0_0 /projective/PX0.mpl line 101
v_Ep_0 /projective/ellquot.mpl line 233
v_gen /cromulent.mpl line 62
v_H /hyperbolic/HX.mpl line 138
v_H0 /hyperbolic/HX0.mpl line 34
v_H0xy /hyperbolic/HX0.mpl line 35
v_H1 /hyperbolic/HX0.mpl line 36
v_H1xy /hyperbolic/HX0.mpl line 37
v_H_fraction_offset /hyperbolic/HX.mpl line 191
v_H_fraction_transform /hyperbolic/HX.mpl line 208
v_H_label /hyperbolic/HX0.mpl line 38
v_H_theta /hyperbolic/HX.mpl line 386
v_HS /hyperbolic/schwarz.mpl line 81
v_on_c /cromulent.mpl line 12
v_on_c_cayley /embedded/extra_vertices.mpl line 195
v_on_c_E /embedded/extra_vertices.mpl line 87
v_on_c_witness_H /hyperbolic/HX.mpl line 461
v_orbit_G16 /group.mpl line 85
v_orbit_G8 /group.mpl line 86
v_P /projective/PX.mpl line 196
v_P0 /projective/PX0.mpl line 34
v_P1 /projective/PX0.mpl line 35
v_P_0 /projective/PX.mpl line 180
v_permlist /group.mpl line 30
v_PS /hyperbolic/schwarz.mpl line 108
v_S2 /embedded/roothalf/sphere_quotients.mpl line 35
v_stabiliser_G16 /group.mpl line 83
v_stabiliser_G8 /group.mpl line 84
v_stereo /embedded/roothalf/E_roothalf.mpl line 248
v_TCm /embedded/roothalf/torus_quotients.mpl line 614
v_TCmq /embedded/roothalf/torus_quotients.mpl line 841
v_TCp /embedded/roothalf/torus_quotients.mpl line 406
v_TCpa /embedded/roothalf/torus_quotients.mpl line 558
v_TEp /projective/ellquot.mpl line 550
v_TPm /embedded/roothalf/torus_quotients.mpl line 619
v_TPmq /embedded/roothalf/torus_quotients.mpl line 846
v_TPp /embedded/roothalf/torus_quotients.mpl line 407
v_TPpa /embedded/roothalf/torus_quotients.mpl line 559
v_track /cromulent.mpl line 101
v_track_E /embedded/extra_vertices.mpl line 235
v_TTC /embedded/roothalf/torus_quotients.mpl line 267
v_TTP /embedded/roothalf/torus_quotients.mpl line 268
VNB /embedded/roothalf/galois.mpl line 243
vwz /projective/galois.mpl line 35
W
w_lift1 /embedded/invariants.mpl line 321
w_proj /embedded/invariants.mpl line 267
w_proj0 /embedded/EX0.mpl line 121
w_proj1 /embedded/EX0.mpl line 143
w_proj_a /embedded/invariants.mpl line 268
w_to_y1 /embedded/invariants.mpl line 309
w_to_y_dpc[0] /embedded/invariants.mpl line 291
w_to_y_dpc[1] /embedded/invariants.mpl line 294
w_to_y_dpc[2] /embedded/invariants.mpl line 297
w_to_y_dpc[3] /embedded/invariants.mpl line 303
w_to_y_dpc[4] /embedded/invariants.mpl line 306
w_to_y_p /embedded/invariants.mpl line 281
w_to_y_p_0 /embedded/invariants.mpl line 275
w_to_y_p_1 /embedded/invariants.mpl line 278
w_to_y_q /embedded/invariants.mpl line 284
w_to_y_y_1 /embedded/invariants.mpl line 287
wedge /embedded/roothalf/forms.mpl line 99
Wg2m /projective/ellquot.mpl line 469
Wg2m0 /projective/PX0.mpl line 69
Wg2p /projective/ellquot.mpl line 464
Wg2p0 /projective/PX0.mpl line 63
Wg3m /projective/ellquot.mpl line 470
Wg3m0 /projective/PX0.mpl line 70
Wg3p /projective/ellquot.mpl line 465
Wg3p0 /projective/PX0.mpl line 64
WPm /projective/ellquot.mpl line 471
WPm0 /projective/PX0.mpl line 71
WPp /projective/ellquot.mpl line 466
WPp0 /projective/PX0.mpl line 65
WPPm /projective/ellquot.mpl line 472
WPPm0 /projective/PX0.mpl line 72
WPPp /projective/ellquot.mpl line 467
WPPp0 /projective/PX0.mpl line 66
wx /embedded/invariants.mpl line 52
wy /embedded/invariants.mpl line 51
wz /embedded/invariants.mpl line 47
wz_reduce /projective/galois.mpl line 41
X
x_reduced_basis /embedded/invariants.mpl line 136
x_rels /embedded/invariants.mpl line 100
x_rels0 /embedded/EX0.mpl line 153
x_vars /embedded/invariants.mpl line 96
xi /hyperbolic/HX.mpl line 276
xi_alt /hyperbolic/HX.mpl line 279
xi_arc /hyperbolic/plots.mpl line 12
xi_circle /hyperbolic/plots.mpl line 17
xi_circle_ends /hyperbolic/HX.mpl line 320
xi_circle_intersect /hyperbolic/HX.mpl line 307
xi_circle_orthogonal /hyperbolic/HX.mpl line 299
xi_curve /hyperbolic/HX.mpl line 285
xi_curve_tikz /hyperbolic/plots.mpl line 24
xi_curve_xy /hyperbolic/plots.mpl line 5
xs /embedded/roothalf/galois.mpl line 118
xt /embedded/roothalf/galois.mpl line 130
xx /Rn.mpl line 610
xy /embedded/invariants.mpl line 12
xy0 /embedded/roothalf/forms.mpl line 56
xy0 /embedded/EX0.mpl line 103
xyrstu_vars /embedded/roothalf/group64.mpl line 31
Y
y2r /embedded/roothalf/E_roothalf.mpl line 11
y_lift /embedded/invariants.mpl line 90
y_lift0 /embedded/EX0.mpl line 124
y_lift1 /embedded/EX0.mpl line 146
y_proj /embedded/invariants.mpl line 86
y_proj0 /embedded/EX0.mpl line 119
y_proj1 /embedded/EX0.mpl line 141
y_rels /embedded/invariants.mpl line 108
y_rels0 /embedded/roothalf/E_roothalf.mpl line 21
y_rels0 /embedded/EX0.mpl line 151
y_to_w /embedded/invariants.mpl line 270
y_to_w0 /embedded/EX0.mpl line 123
y_to_w1 /embedded/EX0.mpl line 145
y_vars /embedded/invariants.mpl line 97
y_vars /embedded/roothalf/E_roothalf.mpl line 15
ys /embedded/roothalf/galois.mpl line 115
ys_alt /embedded/roothalf/galois.mpl line 116
yt /embedded/roothalf/galois.mpl line 127
yt_alt /embedded/roothalf/galois.mpl line 128
yx /embedded/invariants.mpl line 2
yx0 /embedded/EX0.mpl line 92
yx1 /embedded/EX0.mpl line 127
yy /Rn.mpl line 611
yz /embedded/invariants.mpl line 36
Z
z_lift /embedded/invariants.mpl line 91
z_lift0 /embedded/EX0.mpl line 125
z_lift1 /embedded/EX0.mpl line 147
z_plot /embedded/roothalf/plots.mpl line 5
z_proj /embedded/invariants.mpl line 87
z_proj0 /embedded/EX0.mpl line 120
z_proj1 /embedded/EX0.mpl line 142
z_rels /embedded/invariants.mpl line 117
z_rels0 /embedded/EX0.mpl line 149
z_rels0 /embedded/roothalf/E_roothalf.mpl line 30
z_to_t /embedded/roothalf/E_roothalf.mpl line 104
z_to_w /embedded/invariants.mpl line 255
z_to_w0 /embedded/EX0.mpl line 122
z_to_w1 /embedded/EX0.mpl line 144
z_to_wa /embedded/invariants.mpl line 262
z_vars /embedded/invariants.mpl line 98
z_vars /embedded/roothalf/E_roothalf.mpl line 24
zs /embedded/roothalf/galois.mpl line 114
zt /embedded/roothalf/galois.mpl line 126
zx /embedded/invariants.mpl line 41
zx /embedded/invariants.mpl line 32
zx1 /embedded/EX0.mpl line 136
zy /embedded/invariants.mpl line 28
zz /Rn.mpl line 612