Quantinuum's TKET2 Quantum Compiler

These details have not been verified by PyPI

Project links

Project description

tket2

TKET2 is an open source quantum compiler developed by Quantinuum. Central to TKET2's design is its hardware agnosticism which allows researchers and quantum software developers to take advantage of its powerful compilation for many different quantum architectures.

This is the Python front-end for TKET2, providing a high-level interface for working with quantum circuits. See also the Rust library with the same name on crates.io.

Install

TKET2 can be installed via pip. Requires Python >= 3.10.

pip install tket2

Usage

See the Getting Started guide and the other examples.

Development

This package uses pyo3 and maturin to bind TKET2 functionality to python as the tket2 package.

Recommended:

A clean python 3.10 environment with maturin installed. At which point running maturin develop in this directory should build and install the package in the environment. Run pytest in this directory to test everything is working.

Don't forget to use the --release flag when using Badger and other heavy computational workloads.

See DEVELOPMENT.md for more information.

License

This project is licensed under Apache License, Version 2.0 (LICENCE or http://www.apache.org/licenses/LICENSE-2.0).

Project details

These details have not been verified by PyPI

Project links

Release history Release notifications | RSS feed

This version

0.5.0

Nov 15, 2024

0.4.1

Oct 10, 2024

0.4.0

Oct 3, 2024

0.3.0

Sep 5, 2024

0.2.1

Aug 14, 2024

0.2.0

Aug 1, 2024

0.1.0a4 pre-release

Jul 15, 2024

0.1.0a3 pre-release

Jul 12, 2024

0.1.0a2 pre-release

Jul 10, 2024

0.0.0a1 pre-release

Jun 28, 2024

Download files

Download the file for your platform. If you're not sure which to choose, learn more about installing packages.

Source Distribution

tket2-0.5.0.tar.gz (224.2 kB view details)

Uploaded Nov 15, 2024 Source

Built Distributions

tket2-0.5.0-pp310-pypy310_pp73-musllinux_1_2_x86_64.whl (4.5 MB view details)

Uploaded Nov 15, 2024 PyPy musllinux: musl 1.2+ x86-64

tket2-0.5.0-pp310-pypy310_pp73-musllinux_1_2_i686.whl (4.4 MB view details)

Uploaded Nov 15, 2024 PyPy musllinux: musl 1.2+ i686

tket2-0.5.0-pp310-pypy310_pp73-musllinux_1_2_armv7l.whl (4.1 MB view details)

Uploaded Nov 15, 2024 PyPy musllinux: musl 1.2+ ARMv7l

tket2-0.5.0-pp310-pypy310_pp73-musllinux_1_2_aarch64.whl (4.1 MB view details)

Uploaded Nov 15, 2024 PyPy musllinux: musl 1.2+ ARM64

tket2-0.5.0-pp310-pypy310_pp73-manylinux_2_17_x86_64.manylinux2014_x86_64.whl (4.3 MB view details)

Uploaded Nov 15, 2024 PyPy manylinux: glibc 2.17+ x86-64

tket2-0.5.0-pp310-pypy310_pp73-manylinux_2_17_s390x.manylinux2014_s390x.whl (5.5 MB view details)

Uploaded Nov 15, 2024 PyPy manylinux: glibc 2.17+ s390x

tket2-0.5.0-pp310-pypy310_pp73-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl (4.5 MB view details)

Uploaded Nov 15, 2024 PyPy manylinux: glibc 2.17+ ppc64le

tket2-0.5.0-pp310-pypy310_pp73-manylinux_2_17_armv7l.manylinux2014_armv7l.whl (3.9 MB view details)

Uploaded Nov 15, 2024 PyPy manylinux: glibc 2.17+ ARMv7l

tket2-0.5.0-pp310-pypy310_pp73-manylinux_2_17_aarch64.manylinux2014_aarch64.whl (3.9 MB view details)

Uploaded Nov 15, 2024 PyPy manylinux: glibc 2.17+ ARM64

tket2-0.5.0-pp310-pypy310_pp73-manylinux_2_12_i686.manylinux2010_i686.whl (4.5 MB view details)

Uploaded Nov 15, 2024 PyPy manylinux: glibc 2.12+ i686

tket2-0.5.0-cp312-none-win_amd64.whl (4.2 MB view details)

Uploaded Nov 15, 2024 CPython 3.12 Windows x86-64

tket2-0.5.0-cp312-none-win32.whl (3.7 MB view details)

Uploaded Nov 15, 2024 CPython 3.12 Windows x86

tket2-0.5.0-cp312-cp312-musllinux_1_2_x86_64.whl (4.5 MB view details)

Uploaded Nov 15, 2024 CPython 3.12 musllinux: musl 1.2+ x86-64

tket2-0.5.0-cp312-cp312-musllinux_1_2_i686.whl (4.4 MB view details)

Uploaded Nov 15, 2024 CPython 3.12 musllinux: musl 1.2+ i686

tket2-0.5.0-cp312-cp312-musllinux_1_2_armv7l.whl (4.1 MB view details)

Uploaded Nov 15, 2024 CPython 3.12 musllinux: musl 1.2+ ARMv7l

tket2-0.5.0-cp312-cp312-musllinux_1_2_aarch64.whl (4.1 MB view details)

Uploaded Nov 15, 2024 CPython 3.12 musllinux: musl 1.2+ ARM64

tket2-0.5.0-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl (4.3 MB view details)

Uploaded Nov 15, 2024 CPython 3.12 manylinux: glibc 2.17+ x86-64

tket2-0.5.0-cp312-cp312-manylinux_2_17_s390x.manylinux2014_s390x.whl (5.4 MB view details)

Uploaded Nov 15, 2024 CPython 3.12 manylinux: glibc 2.17+ s390x

tket2-0.5.0-cp312-cp312-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl (4.5 MB view details)

Uploaded Nov 15, 2024 CPython 3.12 manylinux: glibc 2.17+ ppc64le

tket2-0.5.0-cp312-cp312-manylinux_2_17_armv7l.manylinux2014_armv7l.whl (3.9 MB view details)

Uploaded Nov 15, 2024 CPython 3.12 manylinux: glibc 2.17+ ARMv7l

tket2-0.5.0-cp312-cp312-manylinux_2_17_aarch64.manylinux2014_aarch64.whl (3.9 MB view details)

Uploaded Nov 15, 2024 CPython 3.12 manylinux: glibc 2.17+ ARM64

tket2-0.5.0-cp312-cp312-manylinux_2_12_i686.manylinux2010_i686.whl (4.5 MB view details)

Uploaded Nov 15, 2024 CPython 3.12 manylinux: glibc 2.12+ i686

tket2-0.5.0-cp312-cp312-macosx_11_0_arm64.whl (3.8 MB view details)

Uploaded Nov 15, 2024 CPython 3.12 macOS 11.0+ ARM64

tket2-0.5.0-cp312-cp312-macosx_10_12_x86_64.whl (4.1 MB view details)

Uploaded Nov 15, 2024 CPython 3.12 macOS 10.12+ x86-64

tket2-0.5.0-cp311-none-win_amd64.whl (4.2 MB view details)

Uploaded Nov 15, 2024 CPython 3.11 Windows x86-64

tket2-0.5.0-cp311-none-win32.whl (3.7 MB view details)

Uploaded Nov 15, 2024 CPython 3.11 Windows x86

tket2-0.5.0-cp311-cp311-musllinux_1_2_x86_64.whl (4.5 MB view details)

Uploaded Nov 15, 2024 CPython 3.11 musllinux: musl 1.2+ x86-64

tket2-0.5.0-cp311-cp311-musllinux_1_2_i686.whl (4.4 MB view details)

Uploaded Nov 15, 2024 CPython 3.11 musllinux: musl 1.2+ i686

tket2-0.5.0-cp311-cp311-musllinux_1_2_armv7l.whl (4.1 MB view details)

Uploaded Nov 15, 2024 CPython 3.11 musllinux: musl 1.2+ ARMv7l

tket2-0.5.0-cp311-cp311-musllinux_1_2_aarch64.whl (4.1 MB view details)

Uploaded Nov 15, 2024 CPython 3.11 musllinux: musl 1.2+ ARM64

tket2-0.5.0-cp311-cp311-manylinux_2_17_x86_64.manylinux2014_x86_64.whl (4.3 MB view details)

Uploaded Nov 15, 2024 CPython 3.11 manylinux: glibc 2.17+ x86-64

tket2-0.5.0-cp311-cp311-manylinux_2_17_s390x.manylinux2014_s390x.whl (5.5 MB view details)

Uploaded Nov 15, 2024 CPython 3.11 manylinux: glibc 2.17+ s390x

tket2-0.5.0-cp311-cp311-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl (4.5 MB view details)

Uploaded Nov 15, 2024 CPython 3.11 manylinux: glibc 2.17+ ppc64le

tket2-0.5.0-cp311-cp311-manylinux_2_17_armv7l.manylinux2014_armv7l.whl (3.9 MB view details)

Uploaded Nov 15, 2024 CPython 3.11 manylinux: glibc 2.17+ ARMv7l

tket2-0.5.0-cp311-cp311-manylinux_2_17_aarch64.manylinux2014_aarch64.whl (3.9 MB view details)

Uploaded Nov 15, 2024 CPython 3.11 manylinux: glibc 2.17+ ARM64

tket2-0.5.0-cp311-cp311-manylinux_2_12_i686.manylinux2010_i686.whl (4.5 MB view details)

Uploaded Nov 15, 2024 CPython 3.11 manylinux: glibc 2.12+ i686

tket2-0.5.0-cp311-cp311-macosx_11_0_arm64.whl (3.8 MB view details)

Uploaded Nov 15, 2024 CPython 3.11 macOS 11.0+ ARM64

tket2-0.5.0-cp311-cp311-macosx_10_12_x86_64.whl (4.1 MB view details)

Uploaded Nov 15, 2024 CPython 3.11 macOS 10.12+ x86-64

tket2-0.5.0-cp310-none-win_amd64.whl (4.2 MB view details)

Uploaded Nov 15, 2024 CPython 3.10 Windows x86-64

tket2-0.5.0-cp310-none-win32.whl (3.7 MB view details)

Uploaded Nov 15, 2024 CPython 3.10 Windows x86

tket2-0.5.0-cp310-cp310-musllinux_1_2_x86_64.whl (4.5 MB view details)

Uploaded Nov 15, 2024 CPython 3.10 musllinux: musl 1.2+ x86-64

tket2-0.5.0-cp310-cp310-musllinux_1_2_i686.whl (4.4 MB view details)

Uploaded Nov 15, 2024 CPython 3.10 musllinux: musl 1.2+ i686

tket2-0.5.0-cp310-cp310-musllinux_1_2_armv7l.whl (4.1 MB view details)

Uploaded Nov 15, 2024 CPython 3.10 musllinux: musl 1.2+ ARMv7l

tket2-0.5.0-cp310-cp310-musllinux_1_2_aarch64.whl (4.1 MB view details)

Uploaded Nov 15, 2024 CPython 3.10 musllinux: musl 1.2+ ARM64

tket2-0.5.0-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl (4.3 MB view details)

Uploaded Nov 15, 2024 CPython 3.10 manylinux: glibc 2.17+ x86-64

tket2-0.5.0-cp310-cp310-manylinux_2_17_s390x.manylinux2014_s390x.whl (5.5 MB view details)

Uploaded Nov 15, 2024 CPython 3.10 manylinux: glibc 2.17+ s390x

tket2-0.5.0-cp310-cp310-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl (4.5 MB view details)

Uploaded Nov 15, 2024 CPython 3.10 manylinux: glibc 2.17+ ppc64le

tket2-0.5.0-cp310-cp310-manylinux_2_17_armv7l.manylinux2014_armv7l.whl (3.9 MB view details)

Uploaded Nov 15, 2024 CPython 3.10 manylinux: glibc 2.17+ ARMv7l

tket2-0.5.0-cp310-cp310-manylinux_2_17_aarch64.manylinux2014_aarch64.whl (3.9 MB view details)

Uploaded Nov 15, 2024 CPython 3.10 manylinux: glibc 2.17+ ARM64

tket2-0.5.0-cp310-cp310-manylinux_2_12_i686.manylinux2010_i686.whl (4.5 MB view details)

Uploaded Nov 15, 2024 CPython 3.10 manylinux: glibc 2.12+ i686

tket2-0.5.0-cp310-cp310-macosx_11_0_arm64.whl (3.8 MB view details)

Uploaded Nov 15, 2024 CPython 3.10 macOS 11.0+ ARM64

File details

Details for the file tket2-0.5.0.tar.gz.

File metadata

Download URL: tket2-0.5.0.tar.gz
Upload date: Nov 15, 2024
Size: 224.2 kB
Tags: Source
Uploaded using Trusted Publishing? No
Uploaded via: maturin/1.7.4

File hashes

Hashes for tket2-0.5.0.tar.gz
Algorithm	Hash digest
SHA256	`0e983f933e9231bebc6fdaf8c3ffa56b8adf13636c51c06f775664524141f19c`
MD5	`f6790b9c366c0187382767e572c329ef`
BLAKE2b-256	`ab7c2aaa2503ea26ab81c06ba964af97cac28904064fef9c122dbe7e82f921c9`

Algorithm	Hash digest
SHA256	`a4d8d23ccb9f28d2c8640a274521747f71d3ea839b64564820e4ffe317b31e42`
MD5	`da9e81e0050ff6cf5bbc14f0c8999ebd`
BLAKE2b-256	`4c2adc3a947a7195c715bc161ad303afc0f4b836718389161ad4783573ff3748`

Algorithm	Hash digest
SHA256	`df97424b2e64a804887d17e0e0f3be849fbd88cbf6a13563dc00842a478d6bbf`
MD5	`2a56efd83b9e799606552b8dfd790782`
BLAKE2b-256	`218fdbae07d8beeedfa1e1788b921c61009734209452809f676c1934e26c0177`

Algorithm	Hash digest
SHA256	`d0501c984ee7f6adf73b56ef0c7d1d7e2db6e3a9c1d44f3e9e66f50af652d57e`
MD5	`869b18ab1635485c1325613f5af6104b`
BLAKE2b-256	`f773f311aba98b5dfc619ac60f57fa30e1642d091b2dcd5ab98b0bad6b277f90`

Algorithm	Hash digest
SHA256	`8b0cd2afd8b088f37ee4e26b45d9f923526c91446755523bab9381266f616892`
MD5	`ca82903e429db22b8fcb8a4e4dd14740`
BLAKE2b-256	`7e784f1169799bae4fda6dca90b1a44f15f5d5962d7d14353fab754c84e351db`

Algorithm	Hash digest
SHA256	`f06d9f0a191c010bd8b6ad826bc1aa10f8b8566f25cc971407482100799a4a48`
MD5	`6e50d83645379394b88b5a919381ad02`
BLAKE2b-256	`3142ec01391ce07794002160dd928b45c2330fbdb15fd7cd97934b652fb24cd3`

Algorithm	Hash digest
SHA256	`232c06a95f45774aeaccaf736a7b51f3ce4b27eaa575e56b44c76012e62d821d`
MD5	`b08f4603fd1f0795aef4fb82537c5aed`
BLAKE2b-256	`66727b91d44aeae94516ec59e3a09b4ab421f2e6a61822c09d1129f47dcd4dd6`

Algorithm	Hash digest
SHA256	`a89601fb6f3cd224b1c545b6ce5604431caf5e0b86235f070fd835e2bc32e4fa`
MD5	`e82717e1bac42f31c72b1f4411207565`
BLAKE2b-256	`091aaceb016b53fc1bffe900704e9e298229e67e7d4ee2a03769aaecba2123d6`

Algorithm	Hash digest
SHA256	`d69b9c8fb1f2cc2164a8f21cd58baa8210a7ae2e577a3705838d80a5f51c1d91`
MD5	`583f0aba659eec4bea45ed8464820c15`
BLAKE2b-256	`5d3ee94ae654b9559ed28ad24c0fc2c25891c0b9b7fe03d8fc87cd1d461db0d7`

Algorithm	Hash digest
SHA256	`28cd921b7a4ea190d2b012b5938a75a7e4f52633af8f94667f8d58b1d96c99dc`
MD5	`173b50cdfc3c67402a66e72c4fb89e1c`
BLAKE2b-256	`183705f44f8912ddf76033bef52c08cbd4f9258746b06be50fe07aa6aa21792d`

Algorithm	Hash digest
SHA256	`94b11bc7dee0e0d706b917a9aca9d300b2a861d8878d45be3136a2218cc88a2f`
MD5	`c01ef32fd4eae143cb63539ccef168c2`
BLAKE2b-256	`91f42a1073033573a654a78c2dcbd6c93f794000063fd9355fae956a95d6b817`

Algorithm	Hash digest
SHA256	`e96f1e1d1d9fa4c11e0c340ceae3057799419905d376f8eeb61f16055d2161b3`
MD5	`350fe7c33b8f4d6d0fe2f11386fe917f`
BLAKE2b-256	`f8ac0968af4b6847ebd03a94595e8846ad982c54d8fe7c9dd5233930e6b8676e`

Algorithm	Hash digest
SHA256	`5de9ef9b56ff47070581886472161a926ee4e42394d82d5930110e83733ff61d`
MD5	`756546c88cab5471f92199288e964def`
BLAKE2b-256	`2ad6b850caee0d9b7920750c5b9636f36ecd3562916414f6a1a852db5ea80fe6`

Algorithm	Hash digest
SHA256	`c55fa3cf3252e9d3f87782650cf586409eb1c1ce095b361621389cf8537fb74f`
MD5	`9e8c632d7ed6627b4bf261c7871d6820`
BLAKE2b-256	`fd8c9ef0714d98a9649488bb91ec3f1c66ac6b526f725cccccf552522dc945fa`

Algorithm	Hash digest
SHA256	`4bcf1072dc55bd6d167c4044290984f8dc1785827b6a4ecfa880dd675e5fccb5`
MD5	`62d70128f390838f3f90fb1a0a38836e`
BLAKE2b-256	`d51ca31d8a887670814a68047d536328573d234ed99e8356339c5692a53b7767`

Algorithm	Hash digest
SHA256	`773dae0435c80e21b8e9e492e378f1f188be0e33d1ae0c616d6f7d0f50507029`
MD5	`d3a086954081c2c8077a23269c4054e8`
BLAKE2b-256	`e1dc8fa6baa5d64c9f0a41bf47dafd609c59caf5bb9caa041f6d278fb623f9aa`

Algorithm	Hash digest
SHA256	`81e9d8fb1a142f2375c1ec4fb38b7fbbf652efdbd2056496ed89196b682e5caf`
MD5	`2f7866e8044097ad6b28a875383fed98`
BLAKE2b-256	`393f3b823959f0d9629f05d23fc57158473589e9ad6dbec7ec006d68662c27b4`

Algorithm	Hash digest
SHA256	`b47e9c6dec87b9360027d3f9127770f68483fdbe2202ddc145a50369b8af5428`
MD5	`699017049bbb34a52668c19b8a931763`
BLAKE2b-256	`0d06650d41c6260fd71f73b11d05427821820b9c4b8633bbeb19093bdaf9b99d`

Algorithm	Hash digest
SHA256	`075f3c90d8b747b9b24845fad9f6d84ae2428d80ad0d9c4e6d8eda7f207fc789`
MD5	`fcd359444ffbd2db0b864e7eaf59ed11`
BLAKE2b-256	`a99c9f54034f18f6bf127b057f36d51e61e92d5b9b7b9397a3f0b68cffec5044`

Algorithm	Hash digest
SHA256	`f9729a028568287b2b66539ce65f43db07107dfa59622cdf74410b7ec270f626`
MD5	`d4c491772ac070ab4f7378b2e60b3de0`
BLAKE2b-256	`0004a5f7ce686dde146f7dcf8ef9c4fcccf8a86e1072301466b697ddd7148b98`

Algorithm	Hash digest
SHA256	`bcd4a249cb2bb9ebc11d23246a7053518f596d9ad3e7f82e046c4092f4301434`
MD5	`b8d3bb32d5e09efe33af0ea9f41ba4b9`
BLAKE2b-256	`2615ee480158780871c87e8c91dfb29063972b7895ea1bade1a284d8fba52cfc`

tket2 0.5.0

Navigation

Verified details

Maintainers

Unverified details

Project links

Meta

Classifiers

Project description

tket2

Install

Usage

Development

License

Project details

Verified details

Maintainers

Unverified details

Project links

Meta

Classifiers

Release history Release notifications | RSS feed

Download files

Source Distribution

Built Distributions

File details

File metadata

File hashes

File details

File metadata

File hashes

File details

File metadata

File hashes

File details

File metadata

File hashes

File details

File metadata

File hashes

File details

File metadata

File hashes

File details

File metadata

File hashes

File details

File metadata

File hashes

File details

File metadata

File hashes

File details

File metadata

File hashes

File details

File metadata

File hashes

File details

File metadata

File hashes

File details

File metadata

File hashes

File details

File metadata

File hashes

File details

File metadata

File hashes

File details

File metadata

File hashes

File details

File metadata

File hashes

File details

File metadata

File hashes

File details

Algorithm	Hash digest
SHA256	`d20577b4f92a83d1933c59c79b837fb87372d2fcccf46936e8426f83103f36e9`
MD5	`3e40e4e2e056e487962467148fff803c`
BLAKE2b-256	`58334da7a02cf9232354fe2216a5bcfdd45db382b30554ee3dcd1ff212bb7dca`

Algorithm	Hash digest
SHA256	`99162729722b8b4733d8f14d11a208890e0022d12bd69624d36ce67484c35153`
MD5	`b837db72e1a90910840a3d0f30ee2eec`
BLAKE2b-256	`78541d47c0eb57e04bad3467ff2d541c55bb127493bda1c42eaf28225a8533dd`

Algorithm	Hash digest
SHA256	`6008ea83f850c8827ae99435a290540e3ff216b81ca6f00e4c35988597a1cd6e`
MD5	`c5aa3bb0610cb7305349fc086c1ea4cf`
BLAKE2b-256	`69fcfed0208573aa6f6dae6fa855405f50a20831096f55cee890d288a3b59529`

Algorithm	Hash digest
SHA256	`eb1eefb201b4fb5c589cb69a0bfd0ad43167ebf0886701db25f21979cd07cd3a`
MD5	`785349375032727db0442e31b81865fc`
BLAKE2b-256	`38672bfdbaeab2e19ff6cf31a7d8ee9a7e78024972ee6c1ba205603555b68046`

Algorithm	Hash digest
SHA256	`d4df9b9acaff533e755dc9b0b052f7b02c7853a5021403c45b505933d3f87ffd`
MD5	`efb3b83fbe44dc2fdc2d45363c4992b9`
BLAKE2b-256	`ebee7747f464389c30c6a6402d432d23bd6763b892cdc49660b28fb6d65362ed`

Algorithm	Hash digest
SHA256	`0e759d4c416a49d22f335706855d5d53b506a38c37981f5e4f9baa65c40c4ec7`
MD5	`fba1abd5d247d5e54e80be2cd6edef73`
BLAKE2b-256	`162ba1a3e506ab5394e564a2af07fe113c521f6511baa07a14e322c3df2f46a4`

Algorithm	Hash digest
SHA256	`1173ecaf47200e79920bae4b7e4a1398e0a58c4ac484f2297729ae8d5ca9ec8a`
MD5	`f290b980f97fb77f50013ebdd402c615`
BLAKE2b-256	`3b486a8f685882221093fffcd673957343ef0ebc703b4a33f8ad64fd30684c3f`

Algorithm	Hash digest
SHA256	`1559bd173e1b565f6da28288ea10a7d4ffd0daef82c5f4637263541b35c9d68f`
MD5	`8b3b87283e74418b9f15098b2ad68065`
BLAKE2b-256	`1b405af365084dbf9f5443ea953221cb67465c7a9d43cf374f6b91bb9a35f262`

Algorithm	Hash digest
SHA256	`677297a5fecd73734342d5f1b17f178313817622843f5390dc7e662f64bac280`
MD5	`b170c0706c16dda512756653d9af7b15`
BLAKE2b-256	`eab40181d5ca54afaee7b267501138dcd8db41deb622f8d8d3c9bad32ab33326`

Algorithm	Hash digest
SHA256	`900c3d08be38739a2d7da8892809be02489ec4c0f127477da49a6be4507bb540`
MD5	`1670326f35346e41c9260084920ad8bd`
BLAKE2b-256	`26d24e15b43ebbb2f616b570aaa432f2f65f7877a5bf304c282a49af60a98d86`