#include using namespace std; #define REP(i,a,n) for(int i=(a); i<(int)(n); i++) #define rep(i,n) REP(i,0,n) #define FOR(it,c) for(__typeof((c).begin()) it=(c).begin(); it!=(c).end(); ++it) #define ALLOF(c) (c).begin(), (c).end() typedef long long ll; typedef unsigned long long ull; const static ll MOD = 1000000007LL; ll mod_pow(ll x, ll n, ll mod){ ll res = 1; while(n>0){ if(n&1) res = res*x%mod; x = x*x%mod; n >>= 1; } return res; } ll extgcd(ll a, ll b, ll &x, ll &y){ ll d = a; if(b!=0){ d = extgcd(b,a%b,y,x); y -= (a/b)*x; }else{ x = 1; y = 0; } return d; } ll mod_inverse(ll a, ll m){ ll x, y; extgcd(a, m, x, y); return (m+x%m)%m; } ll fact[100005]; ll inv_sum[100005]; void init(){ ll f = 1; ll isum = 0; REP(i,1,100005){ ll res = mod_inverse(i, MOD); isum += res; isum %= MOD; inv_sum[i] = isum; f *= (ll)i; f %= MOD; fact[i] = f; } } ll solve1(ll N){ return (N*N)%MOD; } ll solve2(ll N){ ll ret = 0; ret += (((N*N)%MOD)*N)%MOD; ret %= MOD; ret += (N*N)%MOD; ret %= MOD; ret += MOD-N; ret %= MOD; return ret; } ll solve3(ll N){ rep(i,100005){ if(fact[i] > N) return i-1; } return 0; } ll solve4(ll N){ return 4*N*N+17; } ll solve5(ll N){ return mod_pow(N, N*N*N, MOD); } ll solve6(ll N){ return N; } ll solve7(ll N){ ll ret = N; ret *= fact[N]; ret %= MOD; ret *= (inv_sum[N] + (MOD-1))%MOD; ret %= MOD; return ret; } int main(){ init(); int T; cin >> T; rep(t,T){ int N; cin >> N; if(t>0){ cout << endl; } cout << solve1(N) << endl; cout << solve2(N) << endl; cout << solve3(N) << endl; cout << solve4(N) << endl; cout << solve5(N) << endl; cout << solve6(N) << endl; cout << solve7(N) << endl; } return 0; }