Input: Read this: Two groups G and H are called isomorphic if there exist group homomorphisms a: G → H and b: H → G, such that applying the two functions one after another in each of the two possible orders gives the identity functions of G and H. That is, a(b(h)) = h and b(a(g)) = g for any g in G and h in H. From an abstract point of view, isomorphic groups carry the same information. For example, proving that g • g = 1G for some element g of G is equivalent to proving that a(g) ∗ a(g) = 1H, because applying a to the first equality yields the second, and applying b to the second gives back the first.
Question: How does the second equality disprove the concept of isomorphic groups?

Output: unanswerable


Input: Read this: The game's score was composed by Toru Minegishi and Asuka Ohta, with series regular Koji Kondo serving as the sound supervisor. Minegishi took charge of composition and sound design in Twilight Princess, providing all field and dungeon music under the supervision of Kondo. For the trailers, three pieces were written by different composers, two of which were created by Mahito Yokota and Kondo. Michiru Ōshima created orchestral arrangements for the three compositions, later to be performed by an ensemble conducted by Yasuzo Takemoto. Kondo's piece was later chosen as music for the E3 2005 trailer and for the demo movie after the game's title screen.
Question: Who worked adapting the score for performance by an orchestra?

Output: Michiru Ōshima


Input: Read this: PlayStation 3's initial production cost is estimated by iSuppli to have been US$805.85 for the 20 GB model and US$840.35 for the 60 GB model. However, they were priced at US$499 and US$599 respectively, meaning that units may have been sold at an estimated loss of $306 or $241 depending on model, if the cost estimates were correct, and thus may have contributed to Sony's games division posting an operating loss of ¥232.3 billion (US$1.97 billion) in the fiscal year ending March 2007. In April 2007, soon after these results were published, Ken Kutaragi, President of Sony Computer Entertainment, announced plans to retire. Various news agencies, including The Times and The Wall Street Journal reported that this was due to poor sales, while SCEI maintains that Kutaragi had been planning his retirement for six months prior to the announcement.
Question: How much did it cost to make one 20 GB PS3?

Output: US$805.85


Input: Read this: The dipole component of the magnetic field at the magnetic equator of Neptune is about 14 microteslas (0.14 G). The dipole magnetic moment of Neptune is about 2.2 × 1017 T·m3 (14 μT·RN3, where RN is the radius of Neptune). Neptune's magnetic field has a complex geometry that includes relatively large contributions from non-dipolar components, including a strong quadrupole moment that may exceed the dipole moment in strength. By contrast, Earth, Jupiter and Saturn have only relatively small quadrupole moments, and their fields are less tilted from the polar axis. The large quadrupole moment of Neptune may be the result of offset from the planet's centre and geometrical constraints of the field's dynamo generator.
Question: What is one of Neptune's non-dipolar component what may exceed the dipole moment in weakness?

Output:
unanswerable