30.9: Difference between revisions

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! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica
! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica
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| [https://dlmf.nist.gov/30.9#Ex5 30.9#Ex5] || [[Item:Q8883|<math>2^{16}\beta_{4} = -63q^{6}-4940q^{4}-43327q^{2}-22470+128m^{2}(115q^{4}+1310q^{2}+735)-24576m^{4}(q^{2}+1)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>2^{16}\beta_{4} = -63q^{6}-4940q^{4}-43327q^{2}-22470+128m^{2}(115q^{4}+1310q^{2}+735)-24576m^{4}(q^{2}+1)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(16)* beta[4] = - 63*(q)^(6)- 4940*(q)^(4)- 43327*(q)^(2)- 22470 + 128*(m)^(2)*(115*(q)^(4)+ 1310*(q)^(2)+ 735)- 24576*(m)^(4)*((q)^(2)+ 1)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(16)* Subscript[\[Beta], 4] == - 63*(q)^(6)- 4940*(q)^(4)- 43327*(q)^(2)- 22470 + 128*(m)^(2)*(115*(q)^(4)+ 1310*(q)^(2)+ 735)- 24576*(m)^(4)*((q)^(2)+ 1)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/30.9#Ex5 30.9#Ex5] || <math qid="Q8883">2^{16}\beta_{4} = -63q^{6}-4940q^{4}-43327q^{2}-22470+128m^{2}(115q^{4}+1310q^{2}+735)-24576m^{4}(q^{2}+1)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>2^{16}\beta_{4} = -63q^{6}-4940q^{4}-43327q^{2}-22470+128m^{2}(115q^{4}+1310q^{2}+735)-24576m^{4}(q^{2}+1)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(16)* beta[4] = - 63*(q)^(6)- 4940*(q)^(4)- 43327*(q)^(2)- 22470 + 128*(m)^(2)*(115*(q)^(4)+ 1310*(q)^(2)+ 735)- 24576*(m)^(4)*((q)^(2)+ 1)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(16)* Subscript[\[Beta], 4] == - 63*(q)^(6)- 4940*(q)^(4)- 43327*(q)^(2)- 22470 + 128*(m)^(2)*(115*(q)^(4)+ 1310*(q)^(2)+ 735)- 24576*(m)^(4)*((q)^(2)+ 1)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
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| [https://dlmf.nist.gov/30.9#Ex6 30.9#Ex6] || [[Item:Q8884|<math>2^{20}\beta_{5} = -527q^{7}-61529q^{5}-10\;43961q^{3}-22\;41599q+32m^{2}(5739q^{5}+1\;27550q^{3}+2\;98951q)-2048m^{4}(355q^{3}+1505q)+65536m^{6}q</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>2^{20}\beta_{5} = -527q^{7}-61529q^{5}-10\;43961q^{3}-22\;41599q+32m^{2}(5739q^{5}+1\;27550q^{3}+2\;98951q)-2048m^{4}(355q^{3}+1505q)+65536m^{6}q</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(20)* beta[5] = - 527*(q)^(7)- 61529*(q)^(5)- 1043961*(q)^(3)- 2241599*q + 32*(m)^(2)*(5739*(q)^(5)+ 127550*(q)^(3)+ 298951*q)- 2048*(m)^(4)*(355*(q)^(3)+ 1505*q)+ 65536*(m)^(6)* q</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(20)* Subscript[\[Beta], 5] == - 527*(q)^(7)- 61529*(q)^(5)- 1043961*(q)^(3)- 2241599*q + 32*(m)^(2)*(5739*(q)^(5)+ 127550*(q)^(3)+ 298951*q)- 2048*(m)^(4)*(355*(q)^(3)+ 1505*q)+ 65536*(m)^(6)* q</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/30.9#Ex6 30.9#Ex6] || <math qid="Q8884">2^{20}\beta_{5} = -527q^{7}-61529q^{5}-10\;43961q^{3}-22\;41599q+32m^{2}(5739q^{5}+1\;27550q^{3}+2\;98951q)-2048m^{4}(355q^{3}+1505q)+65536m^{6}q</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>2^{20}\beta_{5} = -527q^{7}-61529q^{5}-10\;43961q^{3}-22\;41599q+32m^{2}(5739q^{5}+1\;27550q^{3}+2\;98951q)-2048m^{4}(355q^{3}+1505q)+65536m^{6}q</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(20)* beta[5] = - 527*(q)^(7)- 61529*(q)^(5)- 1043961*(q)^(3)- 2241599*q + 32*(m)^(2)*(5739*(q)^(5)+ 127550*(q)^(3)+ 298951*q)- 2048*(m)^(4)*(355*(q)^(3)+ 1505*q)+ 65536*(m)^(6)* q</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(20)* Subscript[\[Beta], 5] == - 527*(q)^(7)- 61529*(q)^(5)- 1043961*(q)^(3)- 2241599*q + 32*(m)^(2)*(5739*(q)^(5)+ 127550*(q)^(3)+ 298951*q)- 2048*(m)^(4)*(355*(q)^(3)+ 1505*q)+ 65536*(m)^(6)* q</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
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| [https://dlmf.nist.gov/30.9#Ex7 30.9#Ex7] || [[Item:Q8886|<math>2c_{0} = -q^{2}-1+m^{2}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>2c_{0} = -q^{2}-1+m^{2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">2*c[0] = - (q)^(2)- 1 + (m)^(2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">2*Subscript[c, 0] == - (q)^(2)- 1 + (m)^(2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/30.9#Ex7 30.9#Ex7] || <math qid="Q8886">2c_{0} = -q^{2}-1+m^{2}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>2c_{0} = -q^{2}-1+m^{2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">2*c[0] = - (q)^(2)- 1 + (m)^(2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">2*Subscript[c, 0] == - (q)^(2)- 1 + (m)^(2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
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| [https://dlmf.nist.gov/30.9#Ex8 30.9#Ex8] || [[Item:Q8887|<math>8c_{1} = -q^{3}-q+m^{2}q</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>8c_{1} = -q^{3}-q+m^{2}q</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">8*c[1] = - (q)^(3)- q + (m)^(2)* q</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">8*Subscript[c, 1] == - (q)^(3)- q + (m)^(2)* q</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/30.9#Ex8 30.9#Ex8] || <math qid="Q8887">8c_{1} = -q^{3}-q+m^{2}q</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>8c_{1} = -q^{3}-q+m^{2}q</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">8*c[1] = - (q)^(3)- q + (m)^(2)* q</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">8*Subscript[c, 1] == - (q)^(3)- q + (m)^(2)* q</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
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| [https://dlmf.nist.gov/30.9#Ex9 30.9#Ex9] || [[Item:Q8888|<math>2^{6}c_{2} = -5q^{4}-10q^{2}-1+2m^{2}(3q^{2}+1)-m^{4}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>2^{6}c_{2} = -5q^{4}-10q^{2}-1+2m^{2}(3q^{2}+1)-m^{4}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(6)* c[2] = - 5*(q)^(4)- 10*(q)^(2)- 1 + 2*(m)^(2)*(3*(q)^(2)+ 1)- (m)^(4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(6)* Subscript[c, 2] == - 5*(q)^(4)- 10*(q)^(2)- 1 + 2*(m)^(2)*(3*(q)^(2)+ 1)- (m)^(4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/30.9#Ex9 30.9#Ex9] || <math qid="Q8888">2^{6}c_{2} = -5q^{4}-10q^{2}-1+2m^{2}(3q^{2}+1)-m^{4}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>2^{6}c_{2} = -5q^{4}-10q^{2}-1+2m^{2}(3q^{2}+1)-m^{4}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(6)* c[2] = - 5*(q)^(4)- 10*(q)^(2)- 1 + 2*(m)^(2)*(3*(q)^(2)+ 1)- (m)^(4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(6)* Subscript[c, 2] == - 5*(q)^(4)- 10*(q)^(2)- 1 + 2*(m)^(2)*(3*(q)^(2)+ 1)- (m)^(4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
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| [https://dlmf.nist.gov/30.9#Ex10 30.9#Ex10] || [[Item:Q8889|<math>2^{9}c_{3} = -33q^{5}-114q^{3}-37q+2m^{2}(23q^{3}+25q)-13m^{4}q</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>2^{9}c_{3} = -33q^{5}-114q^{3}-37q+2m^{2}(23q^{3}+25q)-13m^{4}q</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(9)* c[3] = - 33*(q)^(5)- 114*(q)^(3)- 37*q + 2*(m)^(2)*(23*(q)^(3)+ 25*q)- 13*(m)^(4)* q</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(9)* Subscript[c, 3] == - 33*(q)^(5)- 114*(q)^(3)- 37*q + 2*(m)^(2)*(23*(q)^(3)+ 25*q)- 13*(m)^(4)* q</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/30.9#Ex10 30.9#Ex10] || <math qid="Q8889">2^{9}c_{3} = -33q^{5}-114q^{3}-37q+2m^{2}(23q^{3}+25q)-13m^{4}q</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>2^{9}c_{3} = -33q^{5}-114q^{3}-37q+2m^{2}(23q^{3}+25q)-13m^{4}q</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(9)* c[3] = - 33*(q)^(5)- 114*(q)^(3)- 37*q + 2*(m)^(2)*(23*(q)^(3)+ 25*q)- 13*(m)^(4)* q</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(9)* Subscript[c, 3] == - 33*(q)^(5)- 114*(q)^(3)- 37*q + 2*(m)^(2)*(23*(q)^(3)+ 25*q)- 13*(m)^(4)* q</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
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| [https://dlmf.nist.gov/30.9#Ex11 30.9#Ex11] || [[Item:Q8890|<math>2^{10}c_{4} = -63q^{6}-340q^{4}-239q^{2}-14+10m^{2}(10q^{4}+23q^{2}+3)-3m^{4}(13q^{2}+6)+2m^{6}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>2^{10}c_{4} = -63q^{6}-340q^{4}-239q^{2}-14+10m^{2}(10q^{4}+23q^{2}+3)-3m^{4}(13q^{2}+6)+2m^{6}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(10)* c[4] = - 63*(q)^(6)- 340*(q)^(4)- 239*(q)^(2)- 14 + 10*(m)^(2)*(10*(q)^(4)+ 23*(q)^(2)+ 3)- 3*(m)^(4)*(13*(q)^(2)+ 6)+ 2*(m)^(6)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(10)* Subscript[c, 4] == - 63*(q)^(6)- 340*(q)^(4)- 239*(q)^(2)- 14 + 10*(m)^(2)*(10*(q)^(4)+ 23*(q)^(2)+ 3)- 3*(m)^(4)*(13*(q)^(2)+ 6)+ 2*(m)^(6)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/30.9#Ex11 30.9#Ex11] || <math qid="Q8890">2^{10}c_{4} = -63q^{6}-340q^{4}-239q^{2}-14+10m^{2}(10q^{4}+23q^{2}+3)-3m^{4}(13q^{2}+6)+2m^{6}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>2^{10}c_{4} = -63q^{6}-340q^{4}-239q^{2}-14+10m^{2}(10q^{4}+23q^{2}+3)-3m^{4}(13q^{2}+6)+2m^{6}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(10)* c[4] = - 63*(q)^(6)- 340*(q)^(4)- 239*(q)^(2)- 14 + 10*(m)^(2)*(10*(q)^(4)+ 23*(q)^(2)+ 3)- 3*(m)^(4)*(13*(q)^(2)+ 6)+ 2*(m)^(6)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(10)* Subscript[c, 4] == - 63*(q)^(6)- 340*(q)^(4)- 239*(q)^(2)- 14 + 10*(m)^(2)*(10*(q)^(4)+ 23*(q)^(2)+ 3)- 3*(m)^(4)*(13*(q)^(2)+ 6)+ 2*(m)^(6)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
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| [https://dlmf.nist.gov/30.9#Ex12 30.9#Ex12] || [[Item:Q8891|<math>2^{13}c_{5} = -527q^{7}-4139q^{5}-5221q^{3}-1009q+m^{2}(939q^{5}+3750q^{3}+1591q)-m^{4}(465q^{3}+635q)+53m^{6}q</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>2^{13}c_{5} = -527q^{7}-4139q^{5}-5221q^{3}-1009q+m^{2}(939q^{5}+3750q^{3}+1591q)-m^{4}(465q^{3}+635q)+53m^{6}q</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(13)* c[5] = - 527*(q)^(7)- 4139*(q)^(5)- 5221*(q)^(3)- 1009*q + (m)^(2)*(939*(q)^(5)+ 3750*(q)^(3)+ 1591*q)- (m)^(4)*(465*(q)^(3)+ 635*q)+ 53*(m)^(6)* q</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(13)* Subscript[c, 5] == - 527*(q)^(7)- 4139*(q)^(5)- 5221*(q)^(3)- 1009*q + (m)^(2)*(939*(q)^(5)+ 3750*(q)^(3)+ 1591*q)- (m)^(4)*(465*(q)^(3)+ 635*q)+ 53*(m)^(6)* q</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
| [https://dlmf.nist.gov/30.9#Ex12 30.9#Ex12] || <math qid="Q8891">2^{13}c_{5} = -527q^{7}-4139q^{5}-5221q^{3}-1009q+m^{2}(939q^{5}+3750q^{3}+1591q)-m^{4}(465q^{3}+635q)+53m^{6}q</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>2^{13}c_{5} = -527q^{7}-4139q^{5}-5221q^{3}-1009q+m^{2}(939q^{5}+3750q^{3}+1591q)-m^{4}(465q^{3}+635q)+53m^{6}q</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(13)* c[5] = - 527*(q)^(7)- 4139*(q)^(5)- 5221*(q)^(3)- 1009*q + (m)^(2)*(939*(q)^(5)+ 3750*(q)^(3)+ 1591*q)- (m)^(4)*(465*(q)^(3)+ 635*q)+ 53*(m)^(6)* q</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(2)^(13)* Subscript[c, 5] == - 527*(q)^(7)- 4139*(q)^(5)- 5221*(q)^(3)- 1009*q + (m)^(2)*(939*(q)^(5)+ 3750*(q)^(3)+ 1591*q)- (m)^(4)*(465*(q)^(3)+ 635*q)+ 53*(m)^(6)* q</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
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Latest revision as of 12:10, 28 June 2021


DLMF Formula Constraints Maple Mathematica Symbolic
Maple 		Symbolic
Mathematica 		Numeric
Maple 		Numeric
Mathematica
30.9#Ex5 2 16 ⁢ β 4 = - 63 ⁢ q 6 - 4940 ⁢ q 4 - 43327 ⁢ q 2 - 22470 + 128 ⁢ m 2 ⁢ ( 115 ⁢ q 4 + 1310 ⁢ q 2 + 735 ) - 24576 ⁢ m 4 ⁢ ( q 2 + 1 ) superscript 2 16 subscript 𝛽 4 63 superscript 𝑞 6 4940 superscript 𝑞 4 43327 superscript 𝑞 2 22470 128 superscript 𝑚 2 115 superscript 𝑞 4 1310 superscript 𝑞 2 735 24576 superscript 𝑚 4 superscript 𝑞 2 1 {\displaystyle{\displaystyle 2^{16}\beta_{4}=-63q^{6}-4940q^{4}-43327q^{2}-224% 70+128m^{2}(115q^{4}+1310q^{2}+735)-24576m^{4}(q^{2}+1)}}
2^{16}\beta_{4} = -63q^{6}-4940q^{4}-43327q^{2}-22470+128m^{2}(115q^{4}+1310q^{2}+735)-24576m^{4}(q^{2}+1)		 

(2)^(16)* beta[4] = - 63*(q)^(6)- 4940*(q)^(4)- 43327*(q)^(2)- 22470 + 128*(m)^(2)*(115*(q)^(4)+ 1310*(q)^(2)+ 735)- 24576*(m)^(4)*((q)^(2)+ 1)
 
(2)^(16)* Subscript[\[Beta], 4] == - 63*(q)^(6)- 4940*(q)^(4)- 43327*(q)^(2)- 22470 + 128*(m)^(2)*(115*(q)^(4)+ 1310*(q)^(2)+ 735)- 24576*(m)^(4)*((q)^(2)+ 1)
 Skipped - no semantic math Skipped - no semantic math - -
30.9#Ex6 2 20 ⁢ β 5 = - 527 ⁢ q 7 - 61529 ⁢ q 5 - 10 43961 ⁢ q 3 - 22 41599 ⁢ q + 32 ⁢ m 2 ⁢ ( 5739 ⁢ q 5 + 1 27550 ⁢ q 3 + 2 98951 ⁢ q ) - 2048 ⁢ m 4 ⁢ ( 355 ⁢ q 3 + 1505 ⁢ q ) + 65536 ⁢ m 6 ⁢ q superscript 2 20 subscript 𝛽 5 527 superscript 𝑞 7 61529 superscript 𝑞 5 10 43961 superscript 𝑞 3 22 41599 𝑞 32 superscript 𝑚 2 5739 superscript 𝑞 5 1 27550 superscript 𝑞 3 2 98951 𝑞 2048 superscript 𝑚 4 355 superscript 𝑞 3 1505 𝑞 65536 superscript 𝑚 6 𝑞 {\displaystyle{\displaystyle 2^{20}\beta_{5}=-527q^{7}-61529q^{5}-10\;43961q^{% 3}-22\;41599q+32m^{2}(5739q^{5}+1\;27550q^{3}+2\;98951q)-2048m^{4}(355q^{3}+15% 05q)+65536m^{6}q}}
2^{20}\beta_{5} = -527q^{7}-61529q^{5}-10\;43961q^{3}-22\;41599q+32m^{2}(5739q^{5}+1\;27550q^{3}+2\;98951q)-2048m^{4}(355q^{3}+1505q)+65536m^{6}q		 

(2)^(20)* beta[5] = - 527*(q)^(7)- 61529*(q)^(5)- 1043961*(q)^(3)- 2241599*q + 32*(m)^(2)*(5739*(q)^(5)+ 127550*(q)^(3)+ 298951*q)- 2048*(m)^(4)*(355*(q)^(3)+ 1505*q)+ 65536*(m)^(6)* q
 
(2)^(20)* Subscript[\[Beta], 5] == - 527*(q)^(7)- 61529*(q)^(5)- 1043961*(q)^(3)- 2241599*q + 32*(m)^(2)*(5739*(q)^(5)+ 127550*(q)^(3)+ 298951*q)- 2048*(m)^(4)*(355*(q)^(3)+ 1505*q)+ 65536*(m)^(6)* q
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30.9#Ex7 2 ⁢ c 0 = - q 2 - 1 + m 2 2 subscript 𝑐 0 superscript 𝑞 2 1 superscript 𝑚 2 {\displaystyle{\displaystyle 2c_{0}=-q^{2}-1+m^{2}}}
2c_{0} = -q^{2}-1+m^{2}		 

2*c[0] = - (q)^(2)- 1 + (m)^(2)
 
2*Subscript[c, 0] == - (q)^(2)- 1 + (m)^(2)
 Skipped - no semantic math Skipped - no semantic math - -
30.9#Ex8 8 ⁢ c 1 = - q 3 - q + m 2 ⁢ q 8 subscript 𝑐 1 superscript 𝑞 3 𝑞 superscript 𝑚 2 𝑞 {\displaystyle{\displaystyle 8c_{1}=-q^{3}-q+m^{2}q}}
8c_{1} = -q^{3}-q+m^{2}q		 

8*c[1] = - (q)^(3)- q + (m)^(2)* q
 
8*Subscript[c, 1] == - (q)^(3)- q + (m)^(2)* q
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30.9#Ex9 2 6 ⁢ c 2 = - 5 ⁢ q 4 - 10 ⁢ q 2 - 1 + 2 ⁢ m 2 ⁢ ( 3 ⁢ q 2 + 1 ) - m 4 superscript 2 6 subscript 𝑐 2 5 superscript 𝑞 4 10 superscript 𝑞 2 1 2 superscript 𝑚 2 3 superscript 𝑞 2 1 superscript 𝑚 4 {\displaystyle{\displaystyle 2^{6}c_{2}=-5q^{4}-10q^{2}-1+2m^{2}(3q^{2}+1)-m^{% 4}}}
2^{6}c_{2} = -5q^{4}-10q^{2}-1+2m^{2}(3q^{2}+1)-m^{4}		 

(2)^(6)* c[2] = - 5*(q)^(4)- 10*(q)^(2)- 1 + 2*(m)^(2)*(3*(q)^(2)+ 1)- (m)^(4)
 
(2)^(6)* Subscript[c, 2] == - 5*(q)^(4)- 10*(q)^(2)- 1 + 2*(m)^(2)*(3*(q)^(2)+ 1)- (m)^(4)
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30.9#Ex10 2 9 ⁢ c 3 = - 33 ⁢ q 5 - 114 ⁢ q 3 - 37 ⁢ q + 2 ⁢ m 2 ⁢ ( 23 ⁢ q 3 + 25 ⁢ q ) - 13 ⁢ m 4 ⁢ q superscript 2 9 subscript 𝑐 3 33 superscript 𝑞 5 114 superscript 𝑞 3 37 𝑞 2 superscript 𝑚 2 23 superscript 𝑞 3 25 𝑞 13 superscript 𝑚 4 𝑞 {\displaystyle{\displaystyle 2^{9}c_{3}=-33q^{5}-114q^{3}-37q+2m^{2}(23q^{3}+2% 5q)-13m^{4}q}}
2^{9}c_{3} = -33q^{5}-114q^{3}-37q+2m^{2}(23q^{3}+25q)-13m^{4}q		 

(2)^(9)* c[3] = - 33*(q)^(5)- 114*(q)^(3)- 37*q + 2*(m)^(2)*(23*(q)^(3)+ 25*q)- 13*(m)^(4)* q
 
(2)^(9)* Subscript[c, 3] == - 33*(q)^(5)- 114*(q)^(3)- 37*q + 2*(m)^(2)*(23*(q)^(3)+ 25*q)- 13*(m)^(4)* q
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30.9#Ex11 2 10 ⁢ c 4 = - 63 ⁢ q 6 - 340 ⁢ q 4 - 239 ⁢ q 2 - 14 + 10 ⁢ m 2 ⁢ ( 10 ⁢ q 4 + 23 ⁢ q 2 + 3 ) - 3 ⁢ m 4 ⁢ ( 13 ⁢ q 2 + 6 ) + 2 ⁢ m 6 superscript 2 10 subscript 𝑐 4 63 superscript 𝑞 6 340 superscript 𝑞 4 239 superscript 𝑞 2 14 10 superscript 𝑚 2 10 superscript 𝑞 4 23 superscript 𝑞 2 3 3 superscript 𝑚 4 13 superscript 𝑞 2 6 2 superscript 𝑚 6 {\displaystyle{\displaystyle 2^{10}c_{4}=-63q^{6}-340q^{4}-239q^{2}-14+10m^{2}% (10q^{4}+23q^{2}+3)-3m^{4}(13q^{2}+6)+2m^{6}}}
2^{10}c_{4} = -63q^{6}-340q^{4}-239q^{2}-14+10m^{2}(10q^{4}+23q^{2}+3)-3m^{4}(13q^{2}+6)+2m^{6}		 

(2)^(10)* c[4] = - 63*(q)^(6)- 340*(q)^(4)- 239*(q)^(2)- 14 + 10*(m)^(2)*(10*(q)^(4)+ 23*(q)^(2)+ 3)- 3*(m)^(4)*(13*(q)^(2)+ 6)+ 2*(m)^(6)
 
(2)^(10)* Subscript[c, 4] == - 63*(q)^(6)- 340*(q)^(4)- 239*(q)^(2)- 14 + 10*(m)^(2)*(10*(q)^(4)+ 23*(q)^(2)+ 3)- 3*(m)^(4)*(13*(q)^(2)+ 6)+ 2*(m)^(6)
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30.9#Ex12 2 13 ⁢ c 5 = - 527 ⁢ q 7 - 4139 ⁢ q 5 - 5221 ⁢ q 3 - 1009 ⁢ q + m 2 ⁢ ( 939 ⁢ q 5 + 3750 ⁢ q 3 + 1591 ⁢ q ) - m 4 ⁢ ( 465 ⁢ q 3 + 635 ⁢ q ) + 53 ⁢ m 6 ⁢ q superscript 2 13 subscript 𝑐 5 527 superscript 𝑞 7 4139 superscript 𝑞 5 5221 superscript 𝑞 3 1009 𝑞 superscript 𝑚 2 939 superscript 𝑞 5 3750 superscript 𝑞 3 1591 𝑞 superscript 𝑚 4 465 superscript 𝑞 3 635 𝑞 53 superscript 𝑚 6 𝑞 {\displaystyle{\displaystyle 2^{13}c_{5}=-527q^{7}-4139q^{5}-5221q^{3}-1009q+m% ^{2}(939q^{5}+3750q^{3}+1591q)-m^{4}(465q^{3}+635q)+53m^{6}q}}
2^{13}c_{5} = -527q^{7}-4139q^{5}-5221q^{3}-1009q+m^{2}(939q^{5}+3750q^{3}+1591q)-m^{4}(465q^{3}+635q)+53m^{6}q		 

(2)^(13)* c[5] = - 527*(q)^(7)- 4139*(q)^(5)- 5221*(q)^(3)- 1009*q + (m)^(2)*(939*(q)^(5)+ 3750*(q)^(3)+ 1591*q)- (m)^(4)*(465*(q)^(3)+ 635*q)+ 53*(m)^(6)* q
 
(2)^(13)* Subscript[c, 5] == - 527*(q)^(7)- 4139*(q)^(5)- 5221*(q)^(3)- 1009*q + (m)^(2)*(939*(q)^(5)+ 3750*(q)^(3)+ 1591*q)- (m)^(4)*(465*(q)^(3)+ 635*q)+ 53*(m)^(6)* q
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