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Copy file name to clipboardexpand all lines: doc/kryptools.ipynb
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{
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"data": {
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"text/plain": [
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"3 (mod 5)"
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"3"
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]
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},
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"execution_count": 2,
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{
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"data": {
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"text/plain": [
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"0 (mod 5)"
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"0"
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]
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},
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"execution_count": 3,
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{
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"data": {
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"text/plain": [
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"2 (mod 5)"
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"2"
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]
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},
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"execution_count": 4,
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"id": "bea6a5f6-911f-4154-95c1-8e841d8a0930",
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"metadata": {},
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"source": [
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"Since it equals $+1$ the number has a [quadratic residue](https://en.wikipedia.org/wiki/Quadratic_residue) and has a square root modulo the prime $7$"
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"Since it equals $+1$ the number is a [quadratic residue](https://en.wikipedia.org/wiki/Quadratic_residue) and has a square root modulo the prime $7$"
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]
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},
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{
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{
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"data": {
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"text/plain": [
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"[57, 1579]"
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"[3, 19, 1579]"
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]
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},
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"execution_count": 18,
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"id": "450c25e8-1654-4177-9de3-1c4f8d41024a",
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"metadata": {},
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"source": [
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"Pollard $p-1$ (in this case no factor is found)"
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"Pollard $p-1$"
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]
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},
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{
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"id": "3d847314-d9af-4a72-af15-374755d6ff93",
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"metadata": {},
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"source": [
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"Lentstra's ECM"
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"Lentstra's ECM (if no factor is found, `None` is returned)"
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