In the year 2201, Diego OfeAde has been in control of Mars for 50 years. He has moved mankind into Valles Marineris and his aggressive population expansion program has seen the population increase to 150,000 souls. OfeAde is, at this point, fairly pleased with himself, until a young woman walks into his palac- ... er ... office, lamenting the loss of her unborn child. After much gentle consolation, he inquires the colonial doctors about the cause of the miscarriage. Having seen nothing abnormal in her pregnancy, the doctors chalk it up to a random tragedy. At first, OfeAde accepts their judgement on the matter, but then starts to lose sleep over it. What if it was caused by something in the food supply? Does it have something to do with the air pressure? Is the air content affecting this? What if it was the radiation? What if it's the gravity? Will this affect the fertility of future generation? What if humans just aren't meant for Mars?
What if the colony falls apart?
This thought mortifies him. So he gets down from his bed, puts on his slippers, and walks 20 blocks in the middle of the night to Gabriel: a colonial, pre-apocalyptic supercomputer with the sum-total of all human knowledge, and inquires of any records of the location of any gene-caches that may have been left on Mars by early human settlers. After working tirelessly through the night he can pinpoint an area of probable location; then he assembles a search party, and has Guoliang Guan (Now Dr. Guoliang Guan) ready the fastest blimps on Mars. Within an enormous lava tube under Elysium Mons, they find more than what they could have dreamed of: the frozen, intact gametes of over 1,000,000 individuals ( mostly male ) in a machine the size of a sixteen-wheeler. After extracting the machine with great care and difficulty, they transport the gene-cache back to Valles Marineris. Diego then goes to the most reputable biologist in the colony, a first-generation martian by the name of Ayer von Rotental, and commissions a machine to sequence the DNA of, and replicate, all present reproductive material. Von Rotental names his machine after the name etched on the inside of the gene-cache's first containment unit - Sandalphon
My Question is -
What biological process/processed would a machine need to utilize to copy Human Gametes?