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Title: Polymorphisms in human
mitochondrial DNA
United States Patent: 7,339,049
Issued: March 4, 2008
Inventors: Chee; Mark (Palo
Alto, CA), Berno; Anthony (San Jose, CA), Yang; Robert (San Ramon, CA)
Assignee: Affymetrix, Inc.
(Santa Clara, CA)
Appl. No.: 08/856,376
Filed: May 14, 1997
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Abstract
The invention provides novel human
mitochondrial polymorphisms, and probes and primers for detecting the
same. Detection of such polymorphisms is useful in a variety of fields
such as forensic analysis, epidemiology and preventive medicine.
Description of the
Invention
SUMMARY OF THE INVENTION
In one aspect, the invention provides nucleic acids comprising segments of
human mitochondrial DNA or RNA of between 10 and 100 bases. The segments
includes any one of the 182 polymorphic sites shown in Table 1 (see Original Patent).
Also included are nucleic acids comprising complements of these segments. In
some segments, the polymorphic site is occupied by the base described by
Anderson et al., supra. In other segments, the site is occupied by a
different base, particularly one of the alternative forms shown in Table 1,
column 2, or 4-11 (see Original Patent).
The invention further provides allele-specific oligonucleotides for analysis
of the polymorphic sites shown in Table 1. The allele specific
oligonucleotides hybridize to a segment of human mitochondrial nucleic acid
or its complement including a polymorphic site shown in Table 1, column 1.
Such oligonucleotides can be used as probes or primers.
The invention further provides isolated nucleic acids comprising a segment
of the human mitochondrial sequence described by Anderson et al., Nature
290, 457-465 (1981), or the complement thereof, including a polymorphic site
shown in Table 1, column 1. In these nucleic acids, the polymorphic site
within the segment is occupied by a base other than the base shown in Table
1, column 3 ("asn base").
The invention further provides methods of analyzing a nucleic acid. Such
methods entail obtaining a mitochondrial nucleic acid from an individual,
and determining a base occupying any one of the polymorphic sites shown in
Table 1.
DETAILED DESCRIPTION
I. Novel Polymorphisms of the Invention
The present application provides the location of 505 polymorphisms at 182
sites in human mitochondrial DNA (see attached Table 1). The first column of
the table identifies the position of polymorphisms according to a convention
whereby nucleotides in the mitochondrial genomes of different individuals
are assigned the same number as the corresponding nucleotide in the sequence
of Anderson et al., supra when the two sequences are maximally aligned. For
example, reading from the top of the table, polymorphisms occur at positions
63, 72, 92, 181, 194 and so on. The column headed rbase indicates the base
occupying the position in a mitochondrial reference sequence whose sequence
was determined by ABI sequencing. The column headed asn-base indicates the
base occupying the position in the published sequence of Anderson et al.
(1981), supra. The remaining columns in the table indicate the base present
at the polymorphic position in each of 10 African individuals (designated
from left to right HA001, HA002, HA004 and so forth). Upper case letters
indicate that the base occupying a polymorphic position has been established
with substantial certainty in an individual. Lower case letters indicate
that although the existence of a polymorphic position is certain, there is a
possibility of experimental error in determining the base indicated as
occupying that position in an individual. The letter "n" indicates that the
base occupying a position in an individual was ambiguous. Some ambiguities
may be due to heteroplasmy.
The polymorphic sites listed in the table are widely distributed throughout
the mitochondrial genome, and occur in many of the known genes within the
genome (i.e., 22 tRNAs, a 12S and a 16S rRNA, and 13 polypeptides involved
in oxidative phosphorylation). The polymorphic sites can be classified in
sets according to which gene the polymorphic site occurs.
II. Analysis of Polymorphisms
A. Preparation of Samples
Polymorphisms are detected in a target nucleic acid from an individual being
analyzed. For assay of mitochondrial DNA, virtually any biological sample is
suitable. For example, convenient tissue samples include whole blood, semen,
saliva, tears, urine, fecal material, sweat, buccal, skin and hair.
Amplification of nucleic acids from target samples is sometimes desirable
and can be accomplished by e.g., PCR. See generally PCR Technology:
Principles and Applications for DNA Amplification (ed. H. A. Erlich, Freeman
Press, NY, N.Y., 1992); PCR Protocols: A Guide to Methods and Applications
(eds. Innis, et al., Academic Press, San Diego, Calif., 1990); Mattila et
al., Nucleic Acids Res. 19, 4967 (1991); Eckert et al., PCR Methods and
Applications 1, 17 (1991); PCR (eds. McPherson et al., IRL Press, Oxford);
and U.S. Pat. No. 4,683,202 (each of which is incorporated by reference for
all purposes).
Other suitable amplification methods include the ligase chain reaction (LCR)
(see Wu and Wallace, Genomics 4, 560 (1989), Landegren et al., Science 241,
1077 (1988), transcription amplification (Kwoh et al., Proc. Natl. Acad. Sci.
USA 86, 1173 (1989)), and self-sustained sequence replication (Guatelli et
al., Proc. Nat. Acad. Sci. USA, 87, 1874 (1990)) and nucleic acid based
sequence amplification (NASBA). The latter two amplification methods involve
isothermal reactions based on isothermal transcription, which produce both
single stranded RNA (ssRNA) and double stranded DNA (dsDNA) as the
amplification products in a ratio of about 30 or 100 to 1, respectively.
Amplification is not always necessary in view of the multiple copies of
mitochondrial DNA in a single cell. Analysis without amplification is
preferred for analysis of relative levels of various mitochondrial DNA
subpopulations, such as mitochondrial DNAs bearing deletions, without
affecting their relative levels.
B. Detection of Polymorphisms in Target DNA
There are two distinct types of analysis depending whether a polymorphism in
question has already been characterized. The first type of analysis is
sometimes referred to as de novo characterization. This analysis compares
target sequences in different individuals to identify points of variations,
i.e., polymorphic sites. By analyzing a groups of individuals representing
the greatest ethnic diversity among humans and greatest breed and species
variety in plants and animals, patterns characteristic of the most common
alleles/haplotypes of the locus can be identified, and the frequencies of
such populations in the population determined. Additional allelic
frequencies can be determined for subpopulations characterized by criteria
such as geography, race, or gender. The de novo identification of the
polymorphisms of the invention is described in the Examples section. The
second type of analysis is determining which form(s) of a characterized
polymorphism are present in individuals under test. There are a variety of
suitable procedures, which are discussed in turn.
1. Allele-Specific Probes
The design and use of allele-specific probes for analyzing polymorphisms is
described by e.g., Saiki et al., Nature 324, 163-166 (1986); Dattagupta, EP
235,726, Saiki, WO 89/11548. Allele-specific probes can be designed that
hybridize to a segment of target DNA from one individual but do not
hybridize to the corresponding segment from another individual due to the
presence of different polymorphic forms in the respective segments from the
two individuals. Hybridization conditions should be sufficiently stringent
that there is a significant difference in hybridization intensity between
alleles, and preferably an essentially binary response, whereby a probe
hybridizes to only one of the alleles. Some probes are designed to hybridize
to a segment of target DNA such that the polymorphic site aligns with a
central position (e.g., in a 15 mer at the 7 position; in a 16 mer, at
either the 8 or 9 position) of the probe. This design of probe achieves good
discrimination in hybridization between different allelic forms.
Allele-specific probes are often used in pairs, one member of a pair showing
a perfect match to a reference form of a target sequence and the other
member showing a perfect match to a variant form. Several pairs of proves
can then be immobilized on the same support for simultaneous analysis of
multiple polymorphisms within the same target sequence.
2. Tiling Arrays
The polymorphisms can also be identified by hybridization to nucleic acid
arrays, some example of which are described by WO 95/11995 (incorporated by
reference in its entirety for all purposes). One form of such arrays is
described in the Examples section in connection with de novo identification
of polymorphisms. The same array or a different array can be used for
analysis of characterized polymorphisms. WO 95/11995 also describes
subarrays that are optimized for detection of a variant forms of a
precharacterized polymorphism. Such a subarray contains probes designed to
be complementary to a second reference sequence, which is an allelic variant
of the first reference sequence. The second group of probes is designed by
the same principles as described in the Examples except that the probes
exhibit complementarily to the second reference sequence. The inclusion of a
second group (or further groups) can be particular useful for analyzing
short subsequences of the primary reference sequence in which multiple
mutations are expected to occur within a short distance commensurate with
the length of the probes (i.e., two or more mutations within 9 to 21 bases).
3. Allele-Specific Primers
An allele-specific primer hybridizes to a site on target DNA overlapping a
polymorphism and only primes amplification of an allelic form to which the
primer exhibits perfect complementarily. See Gibbs, Nucleic Acid Res. 17,
2427-2448 (1989). This primer is used in conjunction with a second primer
which hybridizes at a distal site. Amplification proceeds from the two
primers leading to a detectable product signifying the particular allelic
form is present. A control is usually performed with a second pair of
primers, one of which shows a single base mismatch at the polymorphic site
and the other of which exhibits perfect complementarily to a distal site.
The single-base mismatch prevents amplification and no detectable product is
formed. The method works best when the mismatch is included in the 3'- most
position of the oligonucleotide aligned with the polymorphism because this
position is most destabilizing to elongation from the primer. See, e.g., WO
93/22456.
4. Direct-Sequencing
The direct analysis of the sequence of polymorphisms of the present
invention can be accomplished using either the dideoxy chain termination
method or the Maxam Gilbert method (see Sambrook et al., Molecular Cloning,
A Laboratory Manual (2nd Ed., CSHP, New York 1989); Zyskind et al.,
Recombinant DNA Laboratory Manual, (Acad. Press, 1988)).
5. Denaturing Gradient Gel Electrophoresis
Amplification products generated using the polymerase chain reaction can be
analyzed by the use of denaturing gradient gel electrophoresis. Different
alleles can be identified based on the different sequence-dependent melting
properties and electrophoresis migrating of DNA in solution. Erlich, ed.,
PCR Technology, Principles and Applications for DNA Amplification, (W. H.
Freeman and Co, New York, 1992), Chapter 7.
6. Single-Strand Conformation Polymorphism Analysis
Alleles of target sequences can be differentiated using single-strand
conformation polymorphism analysis, which identifies base differences by
alteration in electrophoretic migration of single stranded PCR products, as
described in Orita et al., Proc. Nat. Acad. Sci. 86, 2766-2770 (1989).
Amplified PCR products can be generated as described above, and heated or
otherwise denatured, to form single stranded amplification products.
Single-stranded nucleic acids may refold or form secondary structures which
are partially dependent on the base sequence. The different electrophoretic
mobilities of single-stranded amplification products can be related to
base-sequence differences between alleles of target sequences.
III. Methods of Use
After determining polymorphic form(s) present in an individual at one or
more polymorphic sites, this information can be used in a number of methods.
A. Forensics
Determination of which polymorphic forms occupy a set of polymorphic sites
in an individual identifies a set of polymorphic forms that distinguishes
the individual. See generally National Research Council, The Evaluation of
Forensic DNA Evidence (Eds. Pollard et al., National Academy Press, DC,
1996). The more sites that are analyzed the lower the probability that the
set of polymorphic forms in one individual is the same as that in an
unrelated individual. Preferably, if multiple sites are analyzed, the sites
are unlinked. Thus, polymorphisms of the invention are often used in
conjunction with polymorphisms in distal genes. Preferred polymorphisms for
use in forensics are diallelic because the population frequencies of two
polymorphic forms can usually be determined with greater accuracy than those
of multiple polymorphic forms at multi-allelic loci.
The capacity to identify a distinguishing or unique set of forensic markers
in an individual is useful for forensic analysis. For example, one can
determine whether a blood sample from a suspect matches a blood or other
tissue sample from a crime scene by determining whether the set of
polymorphic forms occupying selected polymorphic sites is the same in the
suspect and the sample. If the set of polymorphic markers does not match
between a suspect and a sample, it can be concluded (barring experimental
error) that the suspect was not the source of the sample. If the set of
markers does match, one can conclude that the DNA from the suspect is
consistent with that found at the crime scene. If frequencies of the
polymorphic forms at the loci tested have been determined (e.g., by analysis
of a suitable population of individuals), one can preform a statistical
analysis to determine the probability that a match of suspect and crime
scene sample would occur by chance.
B. Correlation of Polymorphisms with Phenotypic Traits
The polymorphisms of the invention may contribute to the phenotype of an
organism in different ways. Some polymorphisms occur within a protein coding
sequence and contribute to phenotype by affecting protein structure. The
defect may be neutral, beneficial or detrimental, or both beneficial and
detrimental, depending on the circumstances. Other polymorphisms occur in
noncoding regions but may exert phenotypic effects indirectly via influence
on replication, transcription, and translation. A single polymorphism may
affect more than one phenotypic trait. Likewise, a single phenotypic rate
may be affected by polymorphisms in different genes. Further, some
polymorphisms predispose an individual to a distinct mutation that is
causally related to a certain phenotype.
Some disease traits are already known to be mitochondrially inherited. Some
such disease traits result, at least in part, from stop codons in structural
genes. Such mutations have been mapped and associated with diseases, such as
Leber's hereditary optic neuropathy, neurogenic muscular weakness, ataxia
and retinitis pigmentosa. Other mutations (nucleotide substitutions) occur
in tRNA coding sequences, and presumably cause conformational defects in
transcribed tRNA molecules. Such mutations have also been mapped and
associated with diseases such as Myoclonic Epilepsy and Ragged Red Fiber
Disease. See Wallace, Ann. Rev. Biochem. 61, 1175-1212 (1992) (incorporated
by reference in its entirety for all purposes).
Other genetic diseases having hitherto unmapped genetic component(s) may
also result in part from variations in mitochondrial DNA. Candidate diseases
include, e.g., agammaglobulimenia, diabetes insipidus, Lesch-Nyhan syndrome,
muscular dystrophy, Wiskott-Aldrich syndrome, Fabry's disease, familial
hypercholesterolemia, polycystic kidney disease, hereditary spherocytosis,
von Willebrand's disease, tuberous sclerosis, hereditary hemorrhagic
telangiectasia, familial colonic polyposis, Ehlers-Danlos syndrome,
osteogenesis imperfecta, and acute intermittent porphyria).
Other phenotypic traits that may derive, at least in part, from variations
in mitochondrial DNA include symptoms of, or susceptibility to,
multifactorial diseases of which a component is or may be genetic, such as
Alzheimer's disease, autoimmune diseases, inflammation, cancer, diseases of
the nervous system, and infection by pathogenic microorganisms. Some
examples of autoimmune diseases include rheumatoid arthritis, multiple
sclerosis, diabetes (insulin-dependent and non-independent), systemic lupus
erythematosus and Graves disease. Some examples of cancers includes cancers
of the bladder, brain, breast, colon, esophagus, kidney, leukemia, liver,
lung, oral cavity, ovary, pancreas, prostate, skin, stomach and uterus.
Phenotypic traits also include characteristics such as longevity, appearance
(e.g., baldness, obesity), strength, speed, endurance, fertility, and
susceptibility or receptivity to particular drugs or therapeutic treatments.
Correlation is performed for a population of individuals who have been
tested for the presence or absence of a phenotypic trait of interest and for
polymorphic markers sets. To perform such analysis, the presence or absence
of a set of polymorphisms (i.e. a polymorphic set) is determined for a set
of the individuals, some of whom exhibit a particular trait, and some of
whom exhibit lack of the trait. The alleles of each polymorphism of the set
are then reviewed to determine whether the presence or absence of a
particular allele is associated with the trait of interest. Correlation can
be performed by standard statistical methods such as a .kappa.-squared test
and statistically significant correlations between polymorphic form(s) and
phenotypic characteristics are noted. For example, it might be found that
the presence of allele A1 at polymorphism A correlates with heart disease.
As a further example, it might be found that the combined presence of allele
A1 at polymorphism A and allele B1 at polymorphism B correlates with
increased milk production in a mother after birth of a child.
Such correlations can be exploited in several ways. In the case of a strong
correlation between a set of one or more polymorphic forms and a disease for
which treatment is available, detection of the polymorphic form set in a
human or animal patient may justify immediate administration of treatment,
or at least the institution of regular monitoring of the patient, before
irretrievable damage has occurred. Treatments include metabolic replacement
and gene therapy. See Wallace, supra. Detection of a polymorphic form
correlated with serious disease in a couple contemplating a family may also
be valuable to the couple in their reproductive decisions. For example, the
female partner might elect to undergo in vitro fertilization to avoid the
possibility of transmitting such a polymorphism from her husband to her
offspring. In the case of a weaker, but still statistically significant
correlation between a polymorphic set and human disease, immediate
therapeutic intervention or monitoring may not be justified. Nevertheless,
the patient can be motivated to begin simple life-style changes (e.g., diet,
exercise) that can be accomplish at little cost to the patient but confer
potential benefits in reducing the risk of conditions to which the patient
may have increased susceptibility by virtue of variant alleles.
Identification of a polymorphic set in a patient correlated with enhanced
receptiveness to one of several treatment regimes for a disease indicates
that this treatment regime should be followed.
As an example of how mitochondrial polymorphisms can be correlated with
phenotypic traits, Beitz et al., U.S. Pat. No. 5,292,639 discuss use of
bovine mitochondrial polymorphisms in a breeding program to improve milk
production in cows. To evaluate the effect of mtDNA D-loop sequence
polymorphism on milk production, each cow was assigned to value of 1 if
variant or 0 if wildtype with respect to a prototypical mitochondrial DNA
sequence at each of 17 locations considered. Each production trait was
analyzed individually with the following animal model: Y.sub.ijkpn=.mu.+YS.sub.i+P.sub.j+X.sub.k+.beta..sub.1+.
. . .beta..sub.17+PE.sub.n+a.sub.n+e.sub.p where Y.sub.ijknp is the milk,
fat, fat percentage, SNF, SNF percentage, energy concentration, or lactation
energy record; .mu. is an overall mean; YS.sub.i is the effect common to all
cows calving in year-season; X.sub.k is the effect common to cows in either
the high or average selection line; .beta..sub.1 to .beta..sub.17 are the
binomial regressions of production record on mtDNA D-loop sequence
polymorphisms; PE.sub.n is permanent environmental effect common to all
records of cow n; a.sub.n is effect of animal n and is composed of the
additive genetic contribution of sire and dam breeding values and a
Mendelian sampling effect; and e.sub.p is a random residual. It was found
that eleven of seventeen polymorphisms tested influenced at least one
production trait. Bovines having the best polymorphic forms for milk
production at these eleven loci are used as parents for breeding the next
generation of the herd. IV. Modified Polypeptides and Gene Sequences
The invention further provides variant forms of nucleic acids and
corresponding proteins. The nucleic acids comprise a segment of at least 10
bases of the nucleotide sequence of Anderson, supra, except at one of the
polymorphic positions described in Table 1, column 1, in which the
polymorphic position is occupied by a different base than described by
Anderson, supra. Preferably, the different base is one of the alternative
bases for that position shown in Table 1. Some nucleic acid encode
full-length variant forms of proteins. Similarly, variant proteins have the
prototypical amino acid sequences of proteins encoded by the nucleic acid
sequence of Anderson, supra, (read in-frame) except at an amino acid encoded
by a codon including one of the polymorphic positions shown in Table 1. That
position is occupied by a different amino acid than described by Anderson,
supra, and preferably an amino acid encoded by a corresponding codon of any
of the alternative forms for the position shown in the Table.
Variant genes can be expressed in an expression vector in which a variant
gene is operably linked to a native or other promoter. Usually, the promoter
is a eukaryotic promoter for expression in a mammalian cell. The
transcription regulation sequences typically include a heterologous promoter
and optionally an enhancer which is recognized by the host. The selection of
an appropriate promoter, for example trp, lac, phage promoters, glycolytic
enzyme promoters and tRNA promoters, depends on the host selected.
Commercially available expression vectors can be used. Vectors can include
host-recognized replication systems, amplifiable genes, selectable markers,
host sequences useful for insertion into the host genome, and the like.
The means of introducing the expression construct into a host cell varies
depending upon the particular construction and the target host. Suitable
means include fusion, conjugation, transfection, transduction,
electroporation or injection, as described in Sambrook, supra. A wide
variety of host cells can be employed for expression of the variant gene,
both prokaryotic and eukaryotic. Suitable host cells include bacteria such
as E. coli, yeast, filamentous fungi, insect cells, mammalian cells,
typically immortalized, e.g., mouse, CHO, human and monkey cell lines and
derivatives thereof. Preferred host cells are able to process the variant
gene product to produce an appropriate mature polypeptide. Processing
includes glycosylation, ubiguitination, disulfide bond formation, general
post-transitional modification, and the like.
The protein may be isolated by conventional means of protein biochemistry
and purification to obtain a substantially pure product, i.e., 80, 95 or 99%
free of cell component contaminants, as described in Jacoby, Methods in
Enzymology Volume 104, Academic Press, New York (1984); Scopes, Protein
Purification, Principles and Practice, 2nd Edition, Springer-Verlag, New
York (1987); and Deutscher (ed), Guide to Protein Purification, Methods in
Enzymology, Vol. 182 (1990). If the protein is secreted, it can be isolated
from the supernatant in which the host cell is grown. If not secreted, the
protein can be isolated from a lysate of the host cells.
The invention further provides transgenic nonhuman animals capable of
expressing an exogenous variant gene and/or having one or both alleles of an
endogenous variant gene inactivated. Expression of an exogenous variant gene
is usually achieved by operably linking the gene to a promoter and
optionally an enhancer, and microinjecting the construct into a zygote. See
Hogan et al., "Manipulating the Mouse Embryo, A Laboratory Manual," Cold
Spring Harbor Laboratory. Inactivation of endogenous variant genes can be
achieved by forming a transgene in which a cloned variant gene is
inactivated by insertion of a positive selection marker. See Capecchi,
Science 244, 1288-1292 (1989). The transgene is then introduced into an
embryonic stem cell, where it undergoes homologous recombination with an
endogenous variant gene. Mice and other rodents are preferred animals. Such
animals provide useful drug screening systems.
In addition to substantially full-length polypeptides expressed by variant
genes, the present invention includes biologically active fragments of the
polypeptides, or analogs thereof, including organic molecules which simulate
the interactions of the peptides. Biologically active fragments include any
portion of the full-length polypeptide which confers a biological function
on the variant gene product, including ligand binding, and antibody binding.
Ligand binding includes binding by nucleic acids, proteins or polypeptides,
small biologically active molecules, or large cellular structures.
Polyclonal and/or monoclonal antibodies that specifically bind to variant
gene products but not to corresponding prototypical gene products are also
provided. Antibodies can be made by injecting mice or other animals with the
variant gene product or synthetic peptide fragments thereof. Monoclonal
antibodies are screened as are described, for example, in Harlow & Lane,
Antibodies, A Laboratory Manual, Cold Spring Harbor Press, New York (1988);
Goding, Monoclonal antibodies, Principles and Practice (2d ed.) Academic
Press, New York (1986). Monoclonal antibodies are tested for specific
immunoreactivity with a variant gene product and lack of immunoreactivity to
the corresponding prototypical gene product. These antibodies are useful in
diagnostic assays for detection of the variant form, or as an active
ingredient in a pharmaceutical composition.
V. Kits
The invention further provides kits comprising at least one allele-specific
oligonucleotide as described above. Often, the kits contain one or more
pairs of allele-specific oligonucleotides hybridizing to different forms of
a polymorphism. In some kits, the allele-specific oligonucleotides are
provided immobilized to a substrate. For example, the same substrate can
comprise allele-specific oligonucleotide probes for detecting at least 10,
100 or all of the polymorphisms shown in Table 1. Optional additional
components of the kit include, for example, restriction enzymes,
reverse-transcriptase or polymerase, the substrate nucleoside triphosphates,
means used to label (for example, an avidin-enzyme conjugate and enzyme
substrate and chromogen if the label is biotin), and the appropriate buffers
for reverse transcription, PCR, or hybridization reactions. Usually, the kit
also contains instructions for carrying out the methods.
Claim 1 of 65 Claims
1. An isolated segment of human mitochondrial DNA or RNA of between 10 and
100 bases including a polymorphic site shown in Table 1 selected from the
group consisting of 235, 297, 325, 680, 1040, 1442, 1706, 2358, 2416, 2789,
3337, 3450, 3516, 3594, 3648, 3666, 3745, 3866, 3918, 4104, 4158, 4586,
4767, 4967, 5027, 5096, 5252, 5285, 5773, 5814, 5823, 6071, 6150, 6237,
6253, 6527, 6614, 6663, 6713, 6806, 6827, 6875, 7146, 7389, 7518, 7624,
8080, 8387, 8503, 8566, 8655, 8854, 8877, 9042, 9072, 9347, 9449, 9818,
10031, 10321, 10664, 10688, 10793, 10810, 10828, 11164, 11176, 11641, 11800,
12049, 12115, 12354, 12477, 12777, 12948, 13149, 13184, 13276, 13485, 13506,
13914, 14000, 14059, 14407, 15119, 15136, 15431, 15629, 15734, 15849, 15883,
15902, 16093, 16114, 16124, 16126, 16264, 16290, 16318, 16319, 16354, and
16390, or the perfect complement of the full length of the segment.
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