How to unnest (explode) a column in a pandas DataFrame, into multiple rows

I know object dtype columns makes the data hard to convert with pandas functions. When I receive data like this, the first thing that came to mind was to "flatten" or unnest the columns.

I am using pandas and Python functions for this type of question. If you are worried about the speed of the above solutions, check out user3483203's answer, since it's using numpy and most of the time numpy is faster. I recommend Cython or numba if speed matters.

Method 0 [pandas >= 0.25] Starting from pandas 0.25, if you only need to explode one column, you can use the pandas.DataFrame.explode function:

df.explode('B')

       A  B
    0  1  1
    1  1  2
    0  2  1
    1  2  2

Given a dataframe with an empty list or a NaN in the column. An empty list will not cause an issue, but a NaN will need to be filled with a list

df = pd.DataFrame({'A': [1, 2, 3, 4],'B': [[1, 2], [1, 2], [], np.nan]})
df.B = df.B.fillna({i: [] for i in df.index})  # replace NaN with []
df.explode('B')

   A    B
0  1    1
0  1    2
1  2    1
1  2    2
2  3  NaN
3  4  NaN

Method 1 apply + pd.Series (easy to understand but in terms of performance not recommended . )

df.set_index('A').B.apply(pd.Series).stack().reset_index(level=0).rename(columns={0:'B'})
Out[463]:
   A  B
0  1  1
1  1  2
0  2  1
1  2  2

Method 2 Using repeat with DataFrame constructor , re-create your dataframe (good at performance, not good at multiple columns )

df=pd.DataFrame({'A':df.A.repeat(df.B.str.len()),'B':np.concatenate(df.B.values)})
df
Out[465]:
   A  B
0  1  1
0  1  2
1  2  1
1  2  2

Method 2.1 for example besides A we have A.1 .....A.n. If we still use the method(Method 2) above it is hard for us to re-create the columns one by one .

Solution : join or merge with the index after 'unnest' the single columns

s=pd.DataFrame({'B':np.concatenate(df.B.values)},index=df.index.repeat(df.B.str.len()))
s.join(df.drop('B',1),how='left')
Out[477]:
   B  A
0  1  1
0  2  1
1  1  2
1  2  2

If you need the column order exactly the same as before, add reindex at the end.

s.join(df.drop('B',1),how='left').reindex(columns=df.columns)

Method 3 recreate the list

pd.DataFrame([[x] + [z] for x, y in df.values for z in y],columns=df.columns)
Out[488]:
   A  B
0  1  1
1  1  2
2  2  1
3  2  2

If more than two columns, use

s=pd.DataFrame([[x] + [z] for x, y in zip(df.index,df.B) for z in y])
s.merge(df,left_on=0,right_index=True)
Out[491]:
   0  1  A       B
0  0  1  1  [1, 2]
1  0  2  1  [1, 2]
2  1  1  2  [1, 2]
3  1  2  2  [1, 2]

Method 4 using reindex or loc

df.reindex(df.index.repeat(df.B.str.len())).assign(B=np.concatenate(df.B.values))
Out[554]:
   A  B
0  1  1
0  1  2
1  2  1
1  2  2

#df.loc[df.index.repeat(df.B.str.len())].assign(B=np.concatenate(df.B.values))

Method 5 when the list only contains unique values:

df=pd.DataFrame({'A':[1,2],'B':[[1,2],[3,4]]})
from collections import ChainMap
d = dict(ChainMap(*map(dict.fromkeys, df['B'], df['A'])))
pd.DataFrame(list(d.items()),columns=df.columns[::-1])
Out[574]:
   B  A
0  1  1
1  2  1
2  3  2
3  4  2

Method 6 using numpy for high performance:

newvalues=np.dstack((np.repeat(df.A.values,list(map(len,df.B.values))),np.concatenate(df.B.values)))
pd.DataFrame(data=newvalues[0],columns=df.columns)
   A  B
0  1  1
1  1  2
2  2  1
3  2  2

Method 7 using base function itertools cycle and chain: Pure python solution just for fun

from itertools import cycle,chain
l=df.values.tolist()
l1=[list(zip([x[0]], cycle(x[1])) if len([x[0]]) > len(x[1]) else list(zip(cycle([x[0]]), x[1]))) for x in l]
pd.DataFrame(list(chain.from_iterable(l1)),columns=df.columns)
   A  B
0  1  1
1  1  2
2  2  1
3  2  2

Generalizing to multiple columns

df=pd.DataFrame({'A':[1,2],'B':[[1,2],[3,4]],'C':[[1,2],[3,4]]})
df
Out[592]:
   A       B       C
0  1  [1, 2]  [1, 2]
1  2  [3, 4]  [3, 4]

Self-def function:

def unnesting(df, explode):
    idx = df.index.repeat(df[explode[0]].str.len())
    df1 = pd.concat([
        pd.DataFrame({x: np.concatenate(df[x].values)}) for x in explode], axis=1)
    df1.index = idx

    return df1.join(df.drop(explode, 1), how='left')


unnesting(df,['B','C'])
Out[609]:
   B  C  A
0  1  1  1
0  2  2  1
1  3  3  2
1  4  4  2

Column-wise Unnesting

All above method is talking about the vertical unnesting and explode , If you do need expend the list horizontal, Check with pd.DataFrame constructor

df.join(pd.DataFrame(df.B.tolist(),index=df.index).add_prefix('B_'))
Out[33]:
   A       B       C  B_0  B_1
0  1  [1, 2]  [1, 2]    1    2
1  2  [3, 4]  [3, 4]    3    4

Updated function

def unnesting(df, explode, axis):
    if axis==1:
        idx = df.index.repeat(df[explode[0]].str.len())
        df1 = pd.concat([
            pd.DataFrame({x: np.concatenate(df[x].values)}) for x in explode], axis=1)
        df1.index = idx

        return df1.join(df.drop(explode, 1), how='left')
    else :
        df1 = pd.concat([
                         pd.DataFrame(df[x].tolist(), index=df.index).add_prefix(x) for x in explode], axis=1)
        return df1.join(df.drop(explode, 1), how='left')

Test Output

unnesting(df, ['B','C'], axis=0)
Out[36]:
   B0  B1  C0  C1  A
0   1   2   1   2  1
1   3   4   3   4  2

Update 2021-02-17 with original explode function

def unnesting(df, explode, axis):
    if axis==1:
        df1 = pd.concat([df[x].explode() for x in explode], axis=1)
        return df1.join(df.drop(explode, 1), how='left')
    else :
        df1 = pd.concat([
                         pd.DataFrame(df[x].tolist(), index=df.index).add_prefix(x) for x in explode], axis=1)
        return df1.join(df.drop(explode, 1), how='left')

---

Option 1

If all of the sublists in the other column are the same length, numpy can be an efficient option here:

vals = np.array(df.B.values.tolist())    
a = np.repeat(df.A, vals.shape[1])

pd.DataFrame(np.column_stack((a, vals.ravel())), columns=df.columns)

   A  B
0  1  1
1  1  2
2  2  1
3  2  2

Option 2

If the sublists have different length, you need an additional step:

vals = df.B.values.tolist()
rs = [len(r) for r in vals]    
a = np.repeat(df.A, rs)

pd.DataFrame(np.column_stack((a, np.concatenate(vals))), columns=df.columns)

   A  B
0  1  1
1  1  2
2  2  1
3  2  2

Option 3

I took a shot at generalizing this to work to flatten N columns and tile M columns, I'll work later on making it more efficient:

df = pd.DataFrame({'A': [1,2,3], 'B': [[1,2], [1,2,3], [1]],
                   'C': [[1,2,3], [1,2], [1,2]], 'D': ['A', 'B', 'C']})

   A          B          C  D
0  1     [1, 2]  [1, 2, 3]  A
1  2  [1, 2, 3]     [1, 2]  B
2  3        [1]     [1, 2]  C

def unnest(df, tile, explode):
    vals = df[explode].sum(1)
    rs = [len(r) for r in vals]
    a = np.repeat(df[tile].values, rs, axis=0)
    b = np.concatenate(vals.values)
    d = np.column_stack((a, b))
    return pd.DataFrame(d, columns = tile +  ['_'.join(explode)])

unnest(df, ['A', 'D'], ['B', 'C'])

    A  D B_C
0   1  A   1
1   1  A   2
2   1  A   1
3   1  A   2
4   1  A   3
5   2  B   1
6   2  B   2
7   2  B   3
8   2  B   1
9   2  B   2
10  3  C   1
11  3  C   1
12  3  C   2

Functions

def wen1(df):
    return df.set_index('A').B.apply(pd.Series).stack().reset_index(level=0).rename(columns={0: 'B'})

def wen2(df):
    return pd.DataFrame({'A':df.A.repeat(df.B.str.len()),'B':np.concatenate(df.B.values)})

def wen3(df):
    s = pd.DataFrame({'B': np.concatenate(df.B.values)}, index=df.index.repeat(df.B.str.len()))
    return s.join(df.drop('B', 1), how='left')

def wen4(df):
    return pd.DataFrame([[x] + [z] for x, y in df.values for z in y],columns=df.columns)

def chris1(df):
    vals = np.array(df.B.values.tolist())
    a = np.repeat(df.A, vals.shape[1])
    return pd.DataFrame(np.column_stack((a, vals.ravel())), columns=df.columns)

def chris2(df):
    vals = df.B.values.tolist()
    rs = [len(r) for r in vals]
    a = np.repeat(df.A.values, rs)
    return pd.DataFrame(np.column_stack((a, np.concatenate(vals))), columns=df.columns)

Timings

import pandas as pd
import matplotlib.pyplot as plt
import numpy as np
from timeit import timeit

res = pd.DataFrame(
       index=['wen1', 'wen2', 'wen3', 'wen4', 'chris1', 'chris2'],
       columns=[10, 50, 100, 500, 1000, 5000, 10000],
       dtype=float
)

for f in res.index:
    for c in res.columns:
        df = pd.DataFrame({'A': [1, 2], 'B': [[1, 2], [1, 2]]})
        df = pd.concat([df]*c)
        stmt = '{}(df)'.format(f)
        setp = 'from __main__ import df, {}'.format(f)
        res.at[f, c] = timeit(stmt, setp, number=50)

ax = res.div(res.min()).T.plot(loglog=True)
ax.set_xlabel("N")
ax.set_ylabel("time (relative)")

Performance

https://i.stack.imgur.com/SWzSN.png

---

Exploding a list-like column has been simplified significantly in pandas 0.25 with the addition of the explode() method:

df = pd.DataFrame({'A': [1, 2], 'B': [[1, 2], [1, 2]]})
df.explode('B')

Out:

   A  B
0  1  1
0  1  2
1  2  1
1  2  2

---

One alternative is to apply the meshgrid recipe over the rows of the columns to unnest:

import numpy as np
import pandas as pd


def unnest(frame, explode):
    def mesh(values):
        return np.array(np.meshgrid(*values)).T.reshape(-1, len(values))

    data = np.vstack(mesh(row) for row in frame[explode].values)
    return pd.DataFrame(data=data, columns=explode)


df = pd.DataFrame({'A': [1, 2], 'B': [[1, 2], [1, 2]]})
print(unnest(df, ['A', 'B']))  # base
print()

df = pd.DataFrame({'A': [1, 2], 'B': [[1, 2], [3, 4]], 'C': [[1, 2], [3, 4]]})
print(unnest(df, ['A', 'B', 'C']))  # multiple columns
print()

df = pd.DataFrame({'A': [1, 2, 3], 'B': [[1, 2], [1, 2, 3], [1]],
                   'C': [[1, 2, 3], [1, 2], [1, 2]], 'D': ['A', 'B', 'C']})

print(unnest(df, ['A', 'B']))  # uneven length lists
print()
print(unnest(df, ['D', 'B']))  # different types
print()

Output

   A  B
0  1  1
1  1  2
2  2  1
3  2  2

   A  B  C
0  1  1  1
1  1  2  1
2  1  1  2
3  1  2  2
4  2  3  3
5  2  4  3
6  2  3  4
7  2  4  4

   A  B
0  1  1
1  1  2
2  2  1
3  2  2
4  2  3
5  3  1

   D  B
0  A  1
1  A  2
2  B  1
3  B  2
4  B  3
5  C  1

---

Problem Setup

Assume there are multiple columns with different length objects within it

df = pd.DataFrame({
    'A': [1, 2],
    'B': [[1, 2], [3, 4]],
    'C': [[1, 2], [3, 4, 5]]
})

df

   A       B          C
0  1  [1, 2]     [1, 2]
1  2  [3, 4]  [3, 4, 5]

When the lengths are the same, it is easy for us to assume that the varying elements coincide and should be "zipped" together.

   A       B          C
0  1  [1, 2]     [1, 2]  # Typical to assume these should be zipped [(1, 1), (2, 2)]
1  2  [3, 4]  [3, 4, 5]

However, the assumption gets challenged when we see different length objects, should we "zip", if so, how do we handle the excess in one of the objects. OR, maybe we want the product of all of the objects. This will get big fast, but might be what is wanted.

   A       B          C
0  1  [1, 2]     [1, 2]
1  2  [3, 4]  [3, 4, 5]  # is this [(3, 3), (4, 4), (None, 5)]?

OR

   A       B          C
0  1  [1, 2]     [1, 2]
1  2  [3, 4]  [3, 4, 5]  # is this [(3, 3), (3, 4), (3, 5), (4, 3), (4, 4), (4, 5)]

The Function

This function gracefully handles zip or product based on a parameter and assumes to zip according to the length of the longest object with zip_longest

from itertools import zip_longest, product

def xplode(df, explode, zipped=True):
    method = zip_longest if zipped else product

    rest = {*df} - {*explode}

    zipped = zip(zip(*map(df.get, rest)), zip(*map(df.get, explode)))
    tups = [tup + exploded
     for tup, pre in zipped
     for exploded in method(*pre)]

    return pd.DataFrame(tups, columns=[*rest, *explode])[[*df]]

Zipped

xplode(df, ['B', 'C'])

   A    B  C
0  1  1.0  1
1  1  2.0  2
2  2  3.0  3
3  2  4.0  4
4  2  NaN  5

Product

xplode(df, ['B', 'C'], zipped=False)

   A  B  C
0  1  1  1
1  1  1  2
2  1  2  1
3  1  2  2
4  2  3  3
5  2  3  4
6  2  3  5
7  2  4  3
8  2  4  4
9  2  4  5

New Setup

Varying up the example a bit

df = pd.DataFrame({
    'A': [1, 2],
    'B': [[1, 2], [3, 4]],
    'C': 'C',
    'D': [[1, 2], [3, 4, 5]],
    'E': [('X', 'Y', 'Z'), ('W',)]
})

df

   A       B  C          D          E
0  1  [1, 2]  C     [1, 2]  (X, Y, Z)
1  2  [3, 4]  C  [3, 4, 5]       (W,)

Zipped

xplode(df, ['B', 'D', 'E'])

   A    B  C    D     E
0  1  1.0  C  1.0     X
1  1  2.0  C  2.0     Y
2  1  NaN  C  NaN     Z
3  2  3.0  C  3.0     W
4  2  4.0  C  4.0  None
5  2  NaN  C  5.0  None

Product

xplode(df, ['B', 'D', 'E'], zipped=False)

    A  B  C  D  E
0   1  1  C  1  X
1   1  1  C  1  Y
2   1  1  C  1  Z
3   1  1  C  2  X
4   1  1  C  2  Y
5   1  1  C  2  Z
6   1  2  C  1  X
7   1  2  C  1  Y
8   1  2  C  1  Z
9   1  2  C  2  X
10  1  2  C  2  Y
11  1  2  C  2  Z
12  2  3  C  3  W
13  2  3  C  4  W
14  2  3  C  5  W
15  2  4  C  3  W
16  2  4  C  4  W
17  2  4  C  5  W

---

My 5 cents:

df[['B', 'B2']] = pd.DataFrame(df['B'].values.tolist())

df[['A', 'B']].append(df[['A', 'B2']].rename(columns={'B2': 'B'}),
                      ignore_index=True)

and another 5

df[['B1', 'B2']] = pd.DataFrame([*df['B']]) # if values.tolist() is too boring

(pd.wide_to_long(df.drop('B', 1), 'B', 'A', '')
 .reset_index(level=1, drop=True)
 .reset_index())

both resulting in the same

   A  B
0  1  1
1  2  1
2  1  2
3  2  2

---

Because normally sublist length are different and join/merge is far more computational expensive. I retested the method for different length sublist and more normal columns.

MultiIndex should be also a easier way to write and has near the same performances as numpy way.

Surprisingly, in my implementation comprehension way has the best performance.

def stack(df):
    return df.set_index(['A', 'C']).B.apply(pd.Series).stack()


def comprehension(df):
    return pd.DataFrame([x + [z] for x, y in zip(df[['A', 'C']].values.tolist(), df.B) for z in y])


def multiindex(df):
    return pd.DataFrame(np.concatenate(df.B.values), index=df.set_index(['A', 'C']).index.repeat(df.B.str.len()))


def array(df):
    return pd.DataFrame(
        np.column_stack((
            np.repeat(df[['A', 'C']].values, df.B.str.len(), axis=0),
            np.concatenate(df.B.values)
        ))
    )


import pandas as pd
import matplotlib.pyplot as plt
import numpy as np
from timeit import timeit

res = pd.DataFrame(
    index=[
        'stack',
        'comprehension',
        'multiindex',
        'array',
    ],
    columns=[1000, 2000, 5000, 10000, 20000, 50000],
    dtype=float
)

for f in res.index:
    for c in res.columns:
        df = pd.DataFrame({'A': list('abc'), 'C': list('def'), 'B': [['g', 'h', 'i'], ['j', 'k'], ['l']]})
        df = pd.concat([df] * c)
        stmt = '{}(df)'.format(f)
        setp = 'from __main__ import df, {}'.format(f)
        res.at[f, c] = timeit(stmt, setp, number=20)

ax = res.div(res.min()).T.plot(loglog=True)
ax.set_xlabel("N")
ax.set_ylabel("time (relative)")

Performance

Relative time of each method

---

I generalized the problem a bit to be applicable to more columns.

Summary of what my solution does:

In[74]: df
Out[74]: 
    A   B             C             columnD
0  A1  B1  [C1.1, C1.2]                D1
1  A2  B2  [C2.1, C2.2]  [D2.1, D2.2, D2.3]
2  A3  B3            C3        [D3.1, D3.2]

In[75]: dfListExplode(df,['C','columnD'])
Out[75]: 
    A   B     C columnD
0  A1  B1  C1.1    D1
1  A1  B1  C1.2    D1
2  A2  B2  C2.1    D2.1
3  A2  B2  C2.1    D2.2
4  A2  B2  C2.1    D2.3
5  A2  B2  C2.2    D2.1
6  A2  B2  C2.2    D2.2
7  A2  B2  C2.2    D2.3
8  A3  B3    C3    D3.1
9  A3  B3    C3    D3.2

Complete example:

The actual explosion is performed in 3 lines. The rest is cosmetics (multi column explosion, handling of strings instead of lists in the explosion column, ...).

import pandas as pd
import numpy as np

df=pd.DataFrame( {'A': ['A1','A2','A3'],
                  'B': ['B1','B2','B3'],
                  'C': [ ['C1.1','C1.2'],['C2.1','C2.2'],'C3'],
                  'columnD': [ 'D1',['D2.1','D2.2', 'D2.3'],['D3.1','D3.2']],
                  })
print('df',df, sep='\n')

def dfListExplode(df, explodeKeys):
    if not isinstance(explodeKeys, list):
        explodeKeys=[explodeKeys]
    # recursive handling of explodeKeys
    if len(explodeKeys)==0:
        return df
    elif len(explodeKeys)==1:
        explodeKey=explodeKeys[0]
    else:
        return dfListExplode( dfListExplode(df, explodeKeys[:1]), explodeKeys[1:])
    # perform explosion/unnesting for key: explodeKey
    dfPrep=df[explodeKey].apply(lambda x: x if isinstance(x,list) else [x]) #casts all elements to a list
    dfIndExpl=pd.DataFrame([[x] + [z] for x, y in zip(dfPrep.index,dfPrep.values) for z in y ], columns=['explodedIndex',explodeKey])
    dfMerged=dfIndExpl.merge(df.drop(explodeKey, axis=1), left_on='explodedIndex', right_index=True)
    dfReind=dfMerged.reindex(columns=list(df))
    return dfReind

dfExpl=dfListExplode(df,['C','columnD'])
print('dfExpl',dfExpl, sep='\n')

Credits to WeNYoBen's answer

---

Something pretty not recommended (at least work in this case):

df=pd.concat([df]*2).sort_index()
it=iter(df['B'].tolist()[0]+df['B'].tolist()[0])
df['B']=df['B'].apply(lambda x:next(it))

concat + sort_index + iter + apply + next.

Now:

print(df)

Is:

   A  B
0  1  1
0  1  2
1  2  1
1  2  2

If care about index:

df=df.reset_index(drop=True)

Now:

print(df)

Is:

   A  B
0  1  1
1  1  2
2  2  1
3  2  2

---

df=pd.DataFrame({'A':[1,2],'B':[[1,2],[1,2]]})

pd.concat([df['A'], pd.DataFrame(df['B'].values.tolist())], axis = 1)\
  .melt(id_vars = 'A', value_name = 'B')\
  .dropna()\
  .drop('variable', axis = 1)

    A   B
0   1   1
1   2   1
2   1   2
3   2   2

Any opinions on this method I thought of? or is doing both concat and melt considered too "expensive"?

---

I have another good way to solves this when you have more than one column to explode.

df=pd.DataFrame({'A':[1,2],'B':[[1,2],[1,2]], 'C':[[1,2,3],[1,2,3]]})

print(df)
   A       B          C
0  1  [1, 2]  [1, 2, 3]
1  2  [1, 2]  [1, 2, 3]

I want to explode the columns B and C. First I explode B, second C. Than I drop B and C from the original df. After that I will do an index join on the 3 dfs.

explode_b = df.explode('B')['B']
explode_c = df.explode('C')['C']
df = df.drop(['B', 'C'], axis=1)
df = df.join([explode_b, explode_c])

---

df=pd.DataFrame({'A':[1,2],'B':[[1,2],[1,2]]})

out = pd.concat([df.loc[:,'A'],(df.B.apply(pd.Series))], axis=1, sort=False)

out = out.set_index('A').stack().droplevel(level=1).reset_index().rename(columns={0:"B"})

       A    B
   0    1   1
   1    1   2
   2    2   1
   3    2   2

you can implement this as one liner, if you don't wish to create intermediate object

---

# Here's the answer to the related question in:
# https://stackoverflow.com/q/56708671/11426125

# initial dataframe
df12=pd.DataFrame({'Date':['2007-12-03','2008-09-07'],'names':
[['Peter','Alex'],['Donald','Stan']]})

# convert dataframe to array for indexing list values (names)
a = np.array(df12.values)  

# create a new, dataframe with dimensions for unnested
b = np.ndarray(shape = (4,2))
df2 = pd.DataFrame(b, columns = ["Date", "names"], dtype = str)

# implement loops to assign date/name values as required
i = range(len(a[0]))
j = range(len(a[0]))
for x in i:
    for y in j:
        df2.iat[2*x+y, 0] = a[x][0]
        df2.iat[2*x+y, 1] = a[x][1][y]

# set Date column as Index
df2.Date=pd.to_datetime(df2.Date)
df2.index=df2.Date
df2.drop('Date',axis=1,inplace =True)

---

In my case with more than one column to explode, and with variables lengths for the arrays that needs to be unnested.

I ended up applying the new pandas 0.25 explode function two times, then removing generated duplicates and it does the job !

df = df.explode('A')
df = df.explode('B')
df = df.drop_duplicates()

---

Below is a simple function for horizontal explode, based on @BEN_YO's answer.

import typing
import pandas as pd

def horizontal_explode(df: pd.DataFrame, col_name: str, new_columns: typing.Union[list, None]=None) -> pd.DataFrame:
    t = pd.DataFrame(df[col_name].tolist(), columns=new_columns, index=df.index)
    return pd.concat([df, t], axis=1)

Running example:

items = [
    ["1", ["a", "b", "c"]],
    ["2", ["d", "e", "f"]]
]

df = pd.DataFrame(items, columns = ["col1", "col2"])
print(df)

t = horizontal_explode(df=df, col_name="col2")
del t["col2"]
print(t)

t = horizontal_explode(df=df, col_name="col2", new_columns=["new_col1", "new_col2", "new_col3"])
del t["col2"]
print(t)

This the relevant output:

  col1       col2
0    1  [a, b, c]
1    2  [d, e, f]

  col1  0  1  2
0    1  a  b  c
1    2  d  e  f

  col1 new_col1 new_col2 new_col3
0    1        a        b        c
1    2        d        e        f

---

 demo = {'set1':{'t1':[1,2,3],'t2':[4,5,6],'t3':[7,8,9]}, 'set2':{'t1':[1,2,3],'t2':[4,5,6],'t3':[7,8,9]}, 'set3': {'t1':[1,2,3],'t2':[4,5,6],'t3':[7,8,9]}}
 df = pd.DataFrame.from_dict(demo, orient='index') 

 print(df.head())
 my_list=[]
 df2=pd.DataFrame(columns=['set','t1','t2','t3'])

 for key,item in df.iterrows():
    t1=item.t1
    t2=item.t2
    t3=item.t3
    mat1=np.matrix([t1,t2,t3])
    row1=[key,mat1[0,0],mat1[0,1],mat1[0,2]]
    df2.loc[len(df2)]=row1
    row2=[key,mat1[1,0],mat1[1,1],mat1[1,2]]
    df2.loc[len(df2)]=row2
    row3=[key,mat1[2,0],mat1[2,1],mat1[2,2]]
    df2.loc[len(df2)]=row3

print(df2) 

set t1 t2 t3
0  set1  1  2  3
1  set1  4  5  6
2  set1  7  8  9
3  set2  1  2  3
4  set2  4  5  6
5  set2  7  8  9
6  set3  1  2  3
7  set3  4  5  6
8  set3  7  8  9   

---