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In Nuxt, the method for performing fundamental computations in the data() method is as follows:

1. Define the necessary variables and data properties in the data() method.
2. Define a computed property that performs the desired computation using the defined variables and data properties.
3. Use the computed property in the template section of the component to display the computed result.

For example, let's say we want to compute the sum of two numbers and display the result in our template. We can do so by following these steps:

<template>
  <div>
    <p>The sum of {{num1}} and {{num2}} is {{sum}}.</p>
  </div>
</template>

<script>
export default {
  data() {
    return {
      num1: 10,
      num2: 5
    }
  },
  computed: {
    sum() {
      return this.num1 + this.num2;
    }
  }
}
</script>

In the above example, we define the variables num1 and num2 in our data() method, and then define a computed property sum that computes the sum of num1 and num2. We then use the sum computed property in our template to display the computed result.