## Factors of j(tau) n=179

```    Subject: More j(tau) factorisations
Date: Fri, 16 Oct 1998 14:47:37 +0000
From: Allan MacLeod <MACL-MS0@wpmail.paisley.ac.uk>
To: kc2h-msm@asahi-net.or.jp

Hello,

The following results should be of interest:

Factors for coefficient 256 of j(tau)

Input number is
3074348127429751328620379074132293868669186005722373453177518967829 (67 digits)

Using B1=1000000, B2=100000000, polynomial x^18, sigma=1241973500

********** Factor found in step 2: 609802312740423574145183

Found probable prime factor of 24 digits: 609802312740423574145183

Probable prime cofactor 5041548815408344557880782756847476737641163 has 43 digits

Factors for coefficient 266 of j(tau)

Input number is
962640023164681900906053864474765561728031504747438764264766080183 (66 digits)

Using B1=1000000, B2=100000000, polynomial x^18, sigma=1539973031

********** Factor found in step 2: 108392016397215996092501532527

Found probable prime factor of 30 digits: 108392016397215996092501532527

Probable prime cofactor 8881097106238600336183942970885884729 has 37 digits

Factors for coefficient 287 of j(tau)

Input number is
237756039214221227429251667661848981275515096913453628560919105393 (66 digits)

Using B1=1000000, B2=100000000, polynomial x^18, sigma=1988305893

********** Factor found in step 2: 535703276174533216633039529

Found probable prime factor of 27 digits: 535703276174533216633039529

Probable prime cofactor 443820394215322712380627190485116404617 has 39 digits

Allan MacLeod
```

E-mail : kc2h-msm@asahi-net.or.jp
Hisanori Mishima