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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def Sum(idx, *args, **kwargs):
 """Instantiator for an arbitrary indexed sum. This returns a function that instantiates the appropriate :class:`QuantumIndexedSum` subclass for a given term expression. It is the preferred way to "manually" create indexed sum expressions, closely resembling the normal mathematical notation for sums. Args: idx (IdxSym):
 The index symbol over which the sum runs args: arguments that describe the values over which `idx` runs, kwargs: keyword-arguments, used in addition to `args` Returns: callable: an instantiator function that takes a arbitrary `term` that should generally contain the `idx` symbol, and returns an indexed sum over that `term` with the index range specified by the original `args` and `kwargs`. There is considerable flexibility to specify concise `args` for a variety of index ranges. Assume the following setup:: Giving `i` as the only argument will sum over the indices of the basis states of the Hilbert space of `term`:: '∑_{i ∈ ℌ₀} |i⟩⁽⁰⁾' You may also specify a Hilbert space manually:: True Note that using :func:`Sum` is vastly more readable than the equivalent "manual" instantiation:: True By nesting calls to `Sum`, you can instantiate sums running over multiple indices:: '∑_{i,j ∈ ℌ₀} |i⟩⟨j|⁽⁰⁾' Giving two integers in addition to the index `i` in `args`, the index will run between the two values:: '∑_{i=1}^{10} |i⟩⁽⁰⁾' True You may also include an optional step width, either as a third integer or using the `step` keyword argument. Lastly, by passing a tuple or list of values, the index will run over all the elements in that tuple or list:: '∑_{i ∈ {1,2,3}} |i⟩⁽⁰⁾' """

    from qnet.algebra.core.hilbert_space_algebra import LocalSpace
    from qnet.algebra.core.scalar_algebra import ScalarValue
    from qnet.algebra.library.spin_algebra import SpinSpace
    dispatch_table = {
        tuple(): _sum_over_fockspace,
        (LocalSpace, ): _sum_over_fockspace,
        (SpinSpace, ): _sum_over_fockspace,
        (list, ): _sum_over_list,
        (tuple, ): _sum_over_list,
        (int, ): _sum_over_range,
        (int, int): _sum_over_range,
        (int, int, int): _sum_over_range,
    }
    key = tuple((type(arg) for arg in args))
    try:
        idx_range_func = dispatch_table[key]
    except KeyError:
        raise TypeError("No implementation for args of type %s" % str(key))

    def sum(term):
        if isinstance(term, ScalarValue._val_types):
            term = ScalarValue.create(term)
        idx_range = idx_range_func(term, idx, *args, **kwargs)
        return term._indexed_sum_cls.create(term, idx_range)

    return sum