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1
Stir cumin seeds in small skillet over medium heat until starting to smoke and pop, about 4 minutes. Pour seeds onto plate; cool. Grind finely in spice mill. DO AHEAD:
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2
Chill in airtight container.
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3
Heat oil in large pot over medium heat. Add onions. Cover and cook until tender but not brown, stirring often, about 8 minutes. Remove from heat. Using garlic press, squeeze in garlic. Add achiote and allspice. Stir over low heat 1 minute. Add tomatoes with juice, broth, and guajillo chile. Bring to simmer. Reduce heat to low; cover and simmer 15 minutes.
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4
Working in 2-cup batches, blend soup in processor to coarse puree (some texture should remain). Return to same pot. Mix in 11/2 teaspoons toasted cumin; season with cayenne, if desired, and coarse salt and freshly ground black pepper. DO AHEAD:
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5
Chill uncovered until cold, then cover and keep chilled.
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6
Pour enough oil into heavy medium saucepan to reach depth of 3/4 inch. Heat oil over medium heat 4 minutes. Fry half of tortilla strips until just golden. Using slotted spoon, transfer strips to paper towels to drain (color will darken slightly). Repeat with remaining strips.
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7
Heat 1 1/2 tablespoons tortilla-frying oil from saucepan in medium skillet over medium-high heat. Add mini peppers. Toss until tender, about 2 minutes. Sprinkle with salt and freshly ground black pepper. DO AHEAD:
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8
Let stand at room temperature.
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9
Reheat soup over medium heat. Ladle into bowls. Top with tortilla and pepper rajas and sprinkle with toasted cumin. Serve, passing additional cumin separately.
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10
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