diff --git a/scadnano/scadnano.py b/scadnano/scadnano.py
index 08a8953..f51f6de 100644
--- a/scadnano/scadnano.py
+++ b/scadnano/scadnano.py
@@ -1763,35 +1763,44 @@ class Helix(_JSONSerializable):
         angle %= 360
         return angle
 
-    def crossovers(self) -> List[Tuple[int, int, bool]]:
+    def crossover_addresses(self) -> List[Tuple[int, int, bool]]:
         """
         :return:
-            list of triples (`offset`, `helix_idx`, `forward`) of all crossovers incident to this
+            list of triples (`helix_idx`, `offset`, `forward`) of all crossovers incident to this
             :any:`Helix`, where `offset` is the offset of the crossover and `helix_idx` is the
             :data:`Helix.idx` of the other :any:`Helix` incident to the crossover.
         """
-        crossovers: List[Tuple[int, int, bool]] = []
+        addresses: List[Tuple[int, int, bool]] = []
         for domain in self.domains:
             strand = domain.strand()
             domains_on_strand = strand.bound_domains()
             num_domains = len(domains_on_strand)
             domain_idx = domains_on_strand.index(domain)
+            domain_idx_in_substrands = strand.domains.index(domain)
 
             # if not first domain, then there is a crossover to the previous domain
             if domain_idx > 0:
-                offset = domain.offset_5p()
-                other_domain = domains_on_strand[domain_idx - 1]
-                other_helix_idx = other_domain.helix
-                crossovers.append((offset, other_helix_idx, domain.forward))
+                # ... unless there's a loopout between them
+                previous_substrand = strand.domains[domain_idx_in_substrands - 1]
+                if isinstance(previous_substrand, Domain):
+                    offset = domain.offset_5p()
+                    other_domain = domains_on_strand[domain_idx - 1]
+                    assert previous_substrand == other_domain
+                    other_helix_idx = other_domain.helix
+                    addresses.append((other_helix_idx, offset, domain.forward))
 
             # if not last domain, then there is a crossover to the next domain
             if domain_idx < num_domains - 1:
-                offset = domain.offset_3p()
-                other_domain = domains_on_strand[domain_idx + 1]
-                other_helix_idx = other_domain.helix
-                crossovers.append((offset, other_helix_idx, domain.forward))
+                # ... unless there's a loopout between them
+                next_substrand = strand.domains[domain_idx_in_substrands + 1]
+                if isinstance(next_substrand, Domain):
+                    offset = domain.offset_3p()
+                    other_domain = domains_on_strand[domain_idx + 1]
+                    assert next_substrand == other_domain
+                    other_helix_idx = other_domain.helix
+                    addresses.append((other_helix_idx, offset, domain.forward))
 
-        return crossovers
+        return addresses
 
     def relax_roll(self, helices: Dict[int, Helix], grid: Grid, geometry: Geometry) -> None:
         """
@@ -1806,7 +1815,7 @@ class Helix(_JSONSerializable):
         rather than changing the field :data:`Helix.roll`.
         """
         angles = []
-        for offset, helix_idx, forward in self.crossovers():
+        for helix_idx, offset, forward in self.crossover_addresses():
             other_helix = helices[helix_idx]
             angle_of_other_helix = angle_from_helix_to_helix(self, other_helix, grid, geometry)
             crossover_angle = self.backbone_angle_at_offset(offset, forward, geometry)

diff --git a/tests/scadnano_tests.py b/tests/scadnano_tests.py
index 71f17c7..07c54b6 100644
--- a/tests/scadnano_tests.py
+++ b/tests/scadnano_tests.py
@@ -8215,6 +8215,78 @@ class TestHelixRollRelax(unittest.TestCase):
         self.assertAlmostEqual(exp_h1_roll, design3h.helices[1].roll)
         self.assertAlmostEqual(exp_h2_roll, design3h.helices[2].roll)
 
+    def test_3_helix_2_crossovers_1_loopout_crossovers_method(self) -> None:
+        '''
+          0         1          2
+          012345678901234567890
+        0 [---+[------+[------+
+              |       |        \
+        1 [---+       |        |
+                      |        /
+        2      <------+<------+
+        '''
+        helices = [sc.Helix(max_offset=60) for _ in range(3)]
+        helices[2].grid_position = (1, 0)
+        design3h = sc.Design(helices=helices, grid=sc.square)
+        design3h.draw_strand(0, 0).move(5).cross(1).move(-5)
+        design3h.draw_strand(0, 5).move(8).cross(2).move(-8)
+        design3h.draw_strand(0, 13).move(8).loopout(2, 3).move(-8)
+
+        crossover_addresses_h0 = helices[0].crossover_addresses()
+        crossover_addresses_h1 = helices[1].crossover_addresses()
+        crossover_addresses_h2 = helices[2].crossover_addresses()
+
+        self.assertEqual(2, len(crossover_addresses_h0))
+        self.assertEqual(1, len(crossover_addresses_h1))
+        self.assertEqual(1, len(crossover_addresses_h2))
+
+        self.assertEqual((1, 4, True), crossover_addresses_h0[0])
+        self.assertEqual((2, 12, True), crossover_addresses_h0[1])
+
+        self.assertEqual((0, 4, False), crossover_addresses_h1[0])
+
+        self.assertEqual((0, 12, False), crossover_addresses_h2[0])
+
+    def test_3_helix_2_crossovers_1_loopout(self) -> None:
+        '''
+          0         1          2
+          012345678901234567890
+        0 [---+[------+[------+
+              |       |        \
+        1 [---+       |        |
+                      |        /
+        2      <------+<------+
+        '''
+        helices = [sc.Helix(max_offset=60) for _ in range(3)]
+        helices[2].grid_position = (1, 0)
+        design3h = sc.Design(helices=helices, grid=sc.square)
+        design3h.draw_strand(0, 0).move(5).cross(1).move(-5)
+        design3h.draw_strand(0, 5).move(8).cross(2).move(-8)
+        design3h.draw_strand(0, 13).move(8).loopout(2, 3).move(-8)
+        f1 = 4 / 10.5
+        f2 = 12 / 10.5
+        a1 = f1 * 360 % 360
+        a2 = f2 * 360 % 360
+
+        # rules for angles:
+        # - add 150 if on reverse strand to account of minor groove
+        # - subtract angle of helix crossover is connecting to
+
+        ave_h0 = (a1 - 180 + a2 - 90) / 2  # helix 1 at 180 degrees, helix 2 at 90 degrees
+        exp_h0_roll = (-ave_h0) % 360
+
+        ave_h1 = a1 + 150  # helix 0 at 0 degrees relative to helix 1
+        exp_h1_roll = (-ave_h1) % 360
+
+        ave_h2 = a2 + 150 - (-90)  # helix 0 at -90 degrees relative to helix 2
+        exp_h2_roll = (-ave_h2) % 360
+
+        design3h.relax_helix_rolls()
+
+        self.assertAlmostEqual(exp_h0_roll, design3h.helices[0].roll)
+        self.assertAlmostEqual(exp_h1_roll, design3h.helices[1].roll)
+        self.assertAlmostEqual(exp_h2_roll, design3h.helices[2].roll)
+
     def test_3_helix_6_crossover(self) -> None:
         '''
           0         1         2         3         4         5         6
@@ -8275,7 +8347,7 @@ class TestHelixRollRelax(unittest.TestCase):
 
         1 <---]<--------]
         '''
-        initial_roll = 30
+        initial_roll = 30.0
         helices = [sc.Helix(max_offset=60, roll=initial_roll) for _ in range(2)]
         design2h = sc.Design(helices=helices, grid=sc.square)
         design2h.draw_strand(0, 0).move(5)
@@ -8313,11 +8385,11 @@ class TestHelixRollRelax(unittest.TestCase):
     def test_helix_crossovers(self) -> None:
         ############################################
         # 3-helix design with 3 strands
-        xs0 = self.design3helix3strand.helices[0].crossovers()
+        xs0 = self.design3helix3strand.helices[0].crossover_addresses()
         self.assertEqual(len(xs0), 3)
-        o0, h0, f0 = xs0[0]
-        o1, h1, f1 = xs0[1]
-        o2, h2, f2 = xs0[2]
+        h0, o0, f0 = xs0[0]
+        h1, o1, f1 = xs0[1]
+        h2, o2, f2 = xs0[2]
         self.assertEqual(o0, 4)
         self.assertEqual(o1, 14)
         self.assertEqual(o2, 26)
@@ -8328,10 +8400,10 @@ class TestHelixRollRelax(unittest.TestCase):
         self.assertEqual(f1, True)
         self.assertEqual(f2, True)
 
-        xs1 = self.design3helix3strand.helices[1].crossovers()
+        xs1 = self.design3helix3strand.helices[1].crossover_addresses()
         self.assertEqual(len(xs1), 2)
-        o0, h0, f0 = xs1[0]
-        o1, h1, f1 = xs1[1]
+        h0, o0, f0 = xs1[0]
+        h1, o1, f1 = xs1[1]
         self.assertEqual(o0, 4)
         self.assertEqual(o1, 26)
         self.assertEqual(h0, 0)
@@ -8339,20 +8411,20 @@ class TestHelixRollRelax(unittest.TestCase):
         self.assertEqual(f0, False)
         self.assertEqual(f1, False)
 
-        xs2 = self.design3helix3strand.helices[2].crossovers()
+        xs2 = self.design3helix3strand.helices[2].crossover_addresses()
         self.assertEqual(len(xs2), 1)
-        o0, h0, f0 = xs2[0]
+        h0, o0, f0 = xs2[0]
         self.assertEqual(o0, 14)
         self.assertEqual(h0, 0)
         self.assertEqual(h0, False)
 
         ############################################
         # 2-helix design
-        xs0 = self.design2h.helices[0].crossovers()
+        xs0 = self.design2h.helices[0].crossover_addresses()
         self.assertEqual(len(xs0), 3)
-        o0, h0, f0 = xs0[0]
-        o1, h1, f1 = xs0[1]
-        o2, h2, f2 = xs0[2]
+        h0, o0, f0 = xs0[0]
+        h1, o1, f1 = xs0[1]
+        h2, o2, f2 = xs0[2]
         self.assertEqual(o0, 4)
         self.assertEqual(o1, 14)
         self.assertEqual(o2, 26)
@@ -8363,11 +8435,11 @@ class TestHelixRollRelax(unittest.TestCase):
         self.assertEqual(h1, True)
         self.assertEqual(h2, True)
 
-        xs1 = self.design2h.helices[1].crossovers()
+        xs1 = self.design2h.helices[1].crossover_addresses()
         self.assertEqual(len(xs1), 3)
-        o0, h0, f0 = xs1[0]
-        o1, h1, f1 = xs1[1]
-        o2, h2, f2 = xs1[2]
+        h0, o0, f0 = xs1[0]
+        h1, o1, f1 = xs1[1]
+        h2, o2, f2 = xs1[2]
         self.assertEqual(o0, 4)
         self.assertEqual(o1, 14)
         self.assertEqual(o2, 26)

ignore loopouts when relaxing helix rolls
The feature implemented from issue #257 has a bug, because it treats any two consecutive domains on a strand as though they have a crossover between them, even if they actually have a loopout between them. Re-write the algorithm for finding crossovers (https://scadnano-python-package.readthedocs.io/en/latest/#scadnano.Helix.crossovers) to ignore loopouts.
tests/scadnano_tests.py::TestHelixRollRelax::test_3_helix_2_crossovers_1_loopout tests/scadnano_tests.py::TestHelixRollRelax::test_3_helix_2_crossovers_1_loopout_crossovers_method tests/scadnano_tests.py::TestHelixRollRelax::test_helix_crossovers
tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__0_0_to_10_cross_1_to_5 tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__0_0_to_10_cross_1_to_5__reverse tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__3p_extension tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__5p_extension tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__as_circular_with_3p_extension_should_raise_error tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__as_circular_with_5p_extension_should_raise_error tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__call_to_then_update_to_legally tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__call_to_twice_decrease_increase_reverse tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__call_to_twice_increase_decrease_forward tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__call_to_twice_legally tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__call_update_to_twice_legally tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__cross_after_3p_extension_should_raise_error tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__cross_after_5p_extension_should_raise_error tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__extension_3p_after_extension_should_raise_error tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__extension_3p_after_loopout_should_raise_error tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__extension_3p_on_circular_strand_should_raise_error tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__extension_3p_with_label tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__extension_5p_with_label tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__extension_with_name tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__h0_off0_to_off10_cross_h1_to_off5_loopout_length3_h2_to_off15 tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__loopouts_with_labels tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__loopouts_with_labels_and_colors_to_json tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__move_after_3p_extension_should_raise_error tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__move_after_5p_extension_ok tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__multiple_strands tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__multiple_strands_other_order tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__multiple_strands_overlap_error tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__multiple_strands_overlap_no_error tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__to_after_3p_extension_should_raise_error tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__two_forward_paranemic_crossovers tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__two_reverse_paranemic_crossovers tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__update_to_after_3p_extension_should_raise_error tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__update_to_after_5p_extension_ok tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__with_domain_sequence_on_extension tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__with_relative_offset tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__with_sequence_on_3p_extension tests/scadnano_tests.py::TestCreateStrandChainedMethods::test_strand__with_sequence_on_5p_extension tests/scadnano_tests.py::TestCreateHelix::test_helix_constructor_no_max_offset_with_major_ticks tests/scadnano_tests.py::TestM13::test_p7249 tests/scadnano_tests.py::TestM13::test_p7560 tests/scadnano_tests.py::TestM13::test_p8064 tests/scadnano_tests.py::TestModifications::test_Cy3 tests/scadnano_tests.py::TestModifications::test_biotin tests/scadnano_tests.py::TestModifications::test_mod_illegal_exceptions_raised tests/scadnano_tests.py::TestModifications::test_to_json__names_not_unique_for_modifications_raises_error tests/scadnano_tests.py::TestModifications::test_to_json__names_unique_for_modifications_raises_no_error tests/scadnano_tests.py::TestModifications::test_to_json_serializable tests/scadnano_tests.py::TestImportCadnanoV2::test_2_stape_2_helix_origami_deletions_insertions tests/scadnano_tests.py::TestImportCadnanoV2::test_32_helix_rectangle tests/scadnano_tests.py::TestImportCadnanoV2::test_Nature09_monolith tests/scadnano_tests.py::TestImportCadnanoV2::test_Science09_prot120_98_v3 tests/scadnano_tests.py::TestImportCadnanoV2::test_circular_auto_staple tests/scadnano_tests.py::TestImportCadnanoV2::test_circular_auto_staple_hex tests/scadnano_tests.py::TestImportCadnanoV2::test_helices_order tests/scadnano_tests.py::TestImportCadnanoV2::test_helices_order2 tests/scadnano_tests.py::TestImportCadnanoV2::test_huge_hex tests/scadnano_tests.py::TestImportCadnanoV2::test_paranemic_crossover tests/scadnano_tests.py::TestImportCadnanoV2::test_same_helix_crossover tests/scadnano_tests.py::TestExportDNASequences::test_to_idt_bulk_input_format__col_major_3p tests/scadnano_tests.py::TestExportDNASequences::test_to_idt_bulk_input_format__col_major_5p tests/scadnano_tests.py::TestExportDNASequences::test_to_idt_bulk_input_format__col_major_5p_or_3p tests/scadnano_tests.py::TestExportDNASequences::test_to_idt_bulk_input_format__col_major_top_left_domain_start tests/scadnano_tests.py::TestExportDNASequences::test_to_idt_bulk_input_format__duplicate_names_different_purifications tests/scadnano_tests.py::TestExportDNASequences::test_to_idt_bulk_input_format__duplicate_names_different_scales tests/scadnano_tests.py::TestExportDNASequences::test_to_idt_bulk_input_format__duplicate_names_different_sequences tests/scadnano_tests.py::TestExportDNASequences::test_to_idt_bulk_input_format__duplicate_names_same_sequence tests/scadnano_tests.py::TestExportDNASequences::test_to_idt_bulk_input_format__row_major_3p tests/scadnano_tests.py::TestExportDNASequences::test_to_idt_bulk_input_format__row_major_5p tests/scadnano_tests.py::TestExportDNASequences::test_to_idt_bulk_input_format__row_major_5p_or_3p tests/scadnano_tests.py::TestExportDNASequences::test_to_idt_bulk_input_format__row_major_top_left_domain_start tests/scadnano_tests.py::TestExportDNASequences::test_write_idt_plate_excel_file tests/scadnano_tests.py::TestExportCadnanoV2::test_16_helix_origami_rectangle_no_twist tests/scadnano_tests.py::TestExportCadnanoV2::test_2_staple_2_helix_origami_deletions_insertions tests/scadnano_tests.py::TestExportCadnanoV2::test_2_staple_2_helix_origami_extremely_simple tests/scadnano_tests.py::TestExportCadnanoV2::test_2_staple_2_helix_origami_extremely_simple_2 tests/scadnano_tests.py::TestExportCadnanoV2::test_6_helix_bundle_honeycomb tests/scadnano_tests.py::TestExportCadnanoV2::test_6_helix_origami_rectangle tests/scadnano_tests.py::TestExportCadnanoV2::test_big_circular_staples tests/scadnano_tests.py::TestExportCadnanoV2::test_big_circular_staples_hex tests/scadnano_tests.py::TestExportCadnanoV2::test_circular_strand tests/scadnano_tests.py::TestExportCadnanoV2::test_export_design_with_helix_group tests/scadnano_tests.py::TestExportCadnanoV2::test_export_design_with_helix_group_not_same_grid tests/scadnano_tests.py::TestExportCadnanoV2::test_export_no_whitespace tests/scadnano_tests.py::TestExportCadnanoV2::test_extension tests/scadnano_tests.py::TestExportCadnanoV2::test_loopout tests/scadnano_tests.py::TestExportCadnanoV2::test_paranemic_crossover tests/scadnano_tests.py::TestExportCadnanoV2::test_parity_issue tests/scadnano_tests.py::TestDesignFromJson::test_from_json__from_and_to_file_contents tests/scadnano_tests.py::TestDesignFromJson::test_from_json__helices_non_default_error_if_some_have_idx_not_others tests/scadnano_tests.py::TestDesignFromJson::test_from_json__helices_non_default_error_if_some_have_idx_not_others_mixed_default tests/scadnano_tests.py::TestDesignFromJson::test_from_json__helices_non_default_indices tests/scadnano_tests.py::TestDesignFromJson::test_from_json__helices_non_default_indices_mixed_with_default tests/scadnano_tests.py::TestDesignFromJson::test_from_json__three_strands tests/scadnano_tests.py::TestStrandReversePolarity::test_reverse_all__one_strand tests/scadnano_tests.py::TestStrandReversePolarity::test_reverse_all__three_strands tests/scadnano_tests.py::TestInlineInsDel::test_deletion_above_range tests/scadnano_tests.py::TestInlineInsDel::test_deletion_below_range tests/scadnano_tests.py::TestInlineInsDel::test_inline_deletions_insertions__deletions_insertions_in_multiple_domains tests/scadnano_tests.py::TestInlineInsDel::test_inline_deletions_insertions__deletions_insertions_in_multiple_domains_two_strands tests/scadnano_tests.py::TestInlineInsDel::test_inline_deletions_insertions__one_deletion tests/scadnano_tests.py::TestInlineInsDel::test_inline_deletions_insertions__one_deletion_left_of_major_tick tests/scadnano_tests.py::TestInlineInsDel::test_inline_deletions_insertions__one_deletion_on_major_tick tests/scadnano_tests.py::TestInlineInsDel::test_inline_deletions_insertions__one_deletion_one_insertion 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