If x > 0 and \(\rm x^4 + \frac{1}{x^4} = 142\), what is the value of \(\rm x^7 + \frac{1}{x^7} \)?

1
1561\(\sqrt{14} \)
2
1563\(\sqrt{14} \)
3
1560\(\sqrt{14} \)
4
1562\(\sqrt{14} \)

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