@Carl Love 

Sorry for late reply, the code is attached below. It works if I deleted those self-equivalent “lend2-lend2 ..."

import com.maplesoft.externalcall.MapleException;
import com.maplesoft.openmaple.Engine;
import com.tsinghuabigdata.mapleutil.EngineCallBacksCustom;

public class TestMaple {
public static void main(String[] args) throws MapleException {
Engine mapleEngine = new Engine(new String[]{"java"}, new EngineCallBacksCustom(), null, null );
mapleEngine.evaluate("Groebner:-Basis(numer([lend2-lend2, lenh1-lenh1, trig7-lenh1/lenk1, degb1-degb1, degc1+degb1+degz1-180, degf1+degb1-degy1, degb1+degi1+degf1-180, degc1+degb1-degr1, degi1+degb1-degg1, degc2+degb1+dege1-180, degi2+dego1+degh2+degb1-360, lenl1-lenl1, lenb2/lenl1-lena2/lenn1, areat2-(1/2)*lenl1*lenh1, trig6-lenh1/lenj1, -lend1^2+lenh1^2+lenj1^2, lenb2/lenl1-lenl1/lend1, lend1+lend2-lenb2, lend1-lend1, lenl1/lend1-lena2/lenn1, trig2-lenj1/lend1, trig3-lenh1/lend1, trig4-lenh1/lend1, trig1-lenj1/lend1, areas2-(1/2)*lenh1*lenj1, lenj1+lenk1-lenl1, lenj1-lenj1, trig5-lenj1/lenh1, degb1+degi1-90, degz1-degm1-degi1, degi2-degx1-degm1-degi1, degi1-degi1, lenb2-lenb2, lena2-lena2, areaq2-(1/2)*lene2*lenn1, lene2^2+lenn1^2-lenp1^2, lenn1-lenn1, trig8-lenn1/lenp1, trig9-lenn1/lenp1, trig10-lene2/lenn1, trig11-lenn1/lene2, lenh1^2+lenk1^2-lenn1^2, lene2/lenk1-lenn1/lenh1, lene2/lenk1-lenp1/lenn1, lenn1/lenh1-lenp1/lenn1, trig12-lenk1/lenn1, trig13-lenh1/lenn1, trig14-lenh1/lenn1, trig15-lenk1/lenn1, arear2-(1/2)*lenh1*lenk1, lenk1-lenk1, trig16-lenk1/lenh1, degb1-45, degc1-60, lend1-3*2^(1/2)]), 'tord');");
System.out.println(mapleEngine.evaluate("Groebner:-Basis(numer([trig7-lenh1/lenk1, degc1+degb1+degz1-180, degf1+degb1-degy1, degb1+degi1+degf1-180, degc1+degb1-degr1, degi1+degb1-degg1, degc2+degb1+dege1-180, degi2+dego1+degh2+degb1-360, lenb2/lenl1-lena2/lenn1, areat2-(1/2)*lenl1*lenh1, trig6-lenh1/lenj1, -lend1^2+lenh1^2+lenj1^2, lenb2/lenl1-lenl1/lend1, lend1+lend2-lenb2, lenl1/lend1-lena2/lenn1, trig2-lenj1/lend1, trig3-lenh1/lend1, trig4-lenh1/lend1, trig1-lenj1/lend1, areas2-(1/2)*lenh1*lenj1, lenj1+lenk1-lenl1, trig5-lenj1/lenh1, degb1+degi1-90, degz1-degm1-degi1, degi2-degx1-degm1-degi1, areaq2-(1/2)*lene2*lenn1, lene2^2+lenn1^2-lenp1^2, trig8-lenn1/lenp1, trig9-lenn1/lenp1, trig10-lene2/lenn1, trig11-lenn1/lene2, lenh1^2+lenk1^2-lenn1^2, lene2/lenk1-lenn1/lenh1, lene2/lenk1-lenp1/lenn1, lenn1/lenh1-lenp1/lenn1, trig12-lenk1/lenn1, trig13-lenh1/lenn1, trig14-lenh1/lenn1, trig15-lenk1/lenn1, arear2-(1/2)*lenh1*lenk1, trig16-lenk1/lenh1, degb1-45, degc1-60, lend1-3*2^(1/2)]), 'tord');"));
}
}

@Markiyan Hirnyk It works in console. But cores when executed with java code.