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How about this?Just doing some calculations:
XML T6: 910lm @ 3.35V 3000mA
Series Voltage needed to drive them all at 3amps: 3.35V x 12 die's = 40.2V
Power consumed at 3amps: 40.2V x 3A = 120.6W
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3x Panasonic NCR18650PD battery 2900mA
Series voltage: 12.6V
nom: 11.1V
current discharge: 10A
Total power: 126W
more realistic total power: 111
compared to ~75.5 for 3400mAh cells at nom(nomnom)