// what is matter? never mind. 
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
//#pragma GCC target("sse,sse2,sse3,sse4,popcnt,abm,mmx,avx,avx2") 
#include<bits/stdc++.h>
#define For(i,a,b) for(int i=(a);i<=(b);++i)
#define Rep(i,a,b) for(int i=(a);i>=(b);--i)
#define ll long long
//#define int unsigned long long
#define ull unsigned long long
#define SZ(x) ((int)((x).size()))
#define ALL(x) (x).begin(),(x).end()
using namespace std;
inline int read()
{
    char c=getchar();int x=0;bool f=0;
    for(;!isdigit(c);c=getchar())f^=!(c^45);
    for(;isdigit(c);c=getchar())x=(x<<1)+(x<<3)+(c^48);
    if(f)x=-x;return x;
}

#define mod 1000000007
struct modint{
	int x;
	modint(int o=0){x=o;}
	modint &operator = (int o){return x=o,*this;}
	modint &operator +=(modint o){return x=x+o.x>=mod?x+o.x-mod:x+o.x,*this;}
	modint &operator -=(modint o){return x=x-o.x<0?x-o.x+mod:x-o.x,*this;}
	modint &operator *=(modint o){return x=1ll*x*o.x%mod,*this;}
	modint &operator ^=(int b){
		modint a=*this,c=1;
		for(;b;b>>=1,a*=a)if(b&1)c*=a;
		return x=c.x,*this;
	}
	modint &operator /=(modint o){return *this *=o^=mod-2;}
	friend modint operator +(modint a,modint b){return a+=b;}
	friend modint operator -(modint a,modint b){return a-=b;}
	friend modint operator *(modint a,modint b){return a*=b;}
	friend modint operator /(modint a,modint b){return a/=b;}
	friend modint operator ^(modint a,int b){return a^=b;}
	friend bool operator ==(modint a,modint b){return a.x==b.x;}
	friend bool operator !=(modint a,modint b){return a.x!=b.x;}
	bool operator ! () {return !x;}
	modint operator - () {return x?mod-x:0;}
	bool operator <(const modint&b)const{return x<b.x;}
};
inline modint qpow(modint x,int y){return x^y;}

vector<modint> fac,ifac,iv;
inline void initC(int n)
{
	if(iv.empty())fac=ifac=iv=vector<modint>(2,1);
	int m=iv.size(); ++n;
	if(m>=n)return;
	iv.resize(n),fac.resize(n),ifac.resize(n);
	For(i,m,n-1){
		iv[i]=iv[mod%i]*(mod-mod/i);
		fac[i]=fac[i-1]*i,ifac[i]=ifac[i-1]*iv[i];
	}
}
inline modint C(int n,int m){
	if(m<0||n<m)return 0;
	return initC(n),fac[n]*ifac[m]*ifac[n-m];
}
inline modint sign(int n){return (n&1)?(mod-1):(1);}

#define fi first
#define se second
#define pb push_back
#define mkp make_pair
typedef pair<int,int>pii;
typedef vector<int>vi;
 
#define maxn 10005
#define inf 0x3f3f3f3f

int n;
char s[maxn];
int sum[maxn][7];
modint w[maxn][7];

modint g1[8][8][8],g2[8][8][8],res;
int cnt[maxn][7];

void wk(modint g1[8][8][8]){
		For(a,0,6)For(b,0,6)For(c,0,6){
		g1[7][b][c]+=g1[a][b][c];
		g1[a][7][c]+=g1[a][b][c];
		g1[a][b][7]+=g1[a][b][c];
		g1[7][7][c]+=g1[a][b][c];
		g1[a][7][7]+=g1[a][b][c];
		g1[7][b][7]+=g1[a][b][c];
		g1[7][7][7]+=g1[a][b][c];
	}
}

vi O[13];

void solve(int pos)
{
	// s[pos]=0   next .. pre ??
//	cout<<"solve "<<pos<<"\n";
	assert(pos>0);
	memset(g1,0,sizeof g1);
	memset(g2,0,sizeof g2);
	For(i,0,6) For(j,0,6) For(k,0,6) {
		int a=(i+sum[pos+1][0])%7,b=(j+sum[pos+1][2])%7,c=(k+sum[pos+1][4])%7;
		modint coe=1;
		coe*=w[cnt[pos-1][0]-1][(i-1+7)%7];
		coe*=w[cnt[pos-1][2]][j];
		coe*=w[cnt[pos-1][4]][k];
	//	if(coe.x) cout<<"add1 "<<i<<" "<<j<<" "<<k<<" "<<coe.x<<"\n";
		g1[(a+b+c)%7][(a+4*b+2*c)%7][(a+2*b+4*c)%7]+=coe;
	}
	For(i,0,6) For(j,0,6) For(k,0,6) {
		int a=(i+sum[pos+1][1])%7,b=(j+sum[pos+1][3])%7,c=(k+sum[pos+1][5])%7;
		modint coe=1;
		coe*=w[cnt[pos-1][1]][i];
		coe*=w[cnt[pos-1][3]][j];
		coe*=w[cnt[pos-1][5]][k];
	//	if(coe.x) cout<<"add2 "<<i<<" "<<j<<" "<<k<<" "<<coe.x<<"\n";
		g2[(a+b+c)%7][(2*a+b+4*c)%7][(3*a+6*b+5*c)%7]+=coe;
	}
	
//	For(a,0,6)For(b,0,6)For(c,0,6)For(d,0,6)For(e,0,6)For(f,0,6)
//		if(a!=d && (a+d)%7!=0 && (b!=e) && (b+e)%7!=0 && (c!=f) && (c+f)%7!=0)
//			if(g1[a][b][c].x && g2[d][e][f].x)
//		//		cout<<"add "<<a<<" "<<b<<" "<<c<<" "<<d<<" "<<e<<" "<<f<<" "<<g1[a][b][c].x<<" "<<g2[d][e][f].x<<"\n",
//				res+=g1[a][b][c]*g2[d][e][f];
	//cout<<"res "<<res.x<<"\n";
	wk(g2);
	For(a,0,6) For(b,0,6) For(c,0,6) {
		modint t=0;
		for(int xa:O[a])for(int xb:O[b])for(int xc:O[c]){
			modint now=g2[xa][xb][xc];
			if(xa!=7)now=-now;
			if(xb!=7)now=-now;
			if(xc!=7)now=-now;
			t+=now;
		}
		res+=g1[a][b][c]*t;
	}
}

void work()
{
	cin>>s;
	n=strlen(s);
	reverse(s,s+n);
	res=0;
	int pp=0;
	while(pp<n && s[pp]=='1')s[pp]='0',++pp;
	if(pp>=n)++n,s[n-1]='1';
	else s[pp]='1';
	
//	For(i,0,n-1)cout<<s[i];puts(" s");
	
	
	For(i,0,6) sum[n][i]=sum[n+1][i]=0;
	Rep(i,n-1,0){
		For(j,0,6) sum[i][j]=sum[i+1][j];
		if(s[i]&1) sum[i][i%6]++;
	}
	For(i,1,n-1){
		if(s[i]&1){
			solve(i);
		}
	}
	cout<<res.x<<"\n";
}

signed main()
{
	For(i,0,6){
		O[i]={i,7-i,7};
		if(i==0)O[i]={0,7};
	}
	For(i,0,10000){
		if(i){
			For(j,0,6)cnt[i][j]=cnt[i-1][j];
		}
		cnt[i][i%6]+=1;
	}
	For(i,0,10000){
		For(j,0,i){
			w[i][j%7]+=C(i,j);
		}
	}
	int T=read();
	while(T--)work();
	return 0;
}
/*

*/