"source": "## META\n\n<div class=\"ntt-cell-head ntt-role-meta\">\n <span class=\"ntt-difficulty-pill\">Level 1</span>\n <div class=\"ntt-cell-row\">\n <span class=\"ntt-role-pill\">META</span>\n <span class=\"ntt-kind-pill\">route nav</span>\n </div>\n <div class=\"ntt-cell-title\">Route Guardrails</div>\n</div>\n\nYou are at **step 4 of 27** in the only supported route.\n\nNever choose the next notebook manually from the file tree. Use only the links in this cell and the final handoff cell.\n\n**Immediate navigation**\n- Next notebook: [Foundations / 01 Convolution To Toy NTT / Problems](problems.ipynb)\n- Previous notebook: [Foundations / 01 Convolution To Toy NTT / Lecture](lecture.ipynb)\n- Restart route: [Start Here](../../START_HERE.ipynb)\n\n**Official route chain**\n1. [Start Here](../../START_HERE.ipynb)\n2. [Course Blueprint](../../COURSE_BLUEPRINT.ipynb)\n3. [Foundations / 01 Convolution To Toy NTT / Lecture](lecture.ipynb)\n4. **Foundations / 01 Convolution To Toy NTT / Lab** <- you are here\n5. [Foundations / 01 Convolution To Toy NTT / Problems](problems.ipynb)\n6. [Foundations / 01 Convolution To Toy NTT / Studio](studio.ipynb)\n7. [Foundations / 02 Negative Wrapped NTT / Lecture](../02_negative_wrapped_ntt/lecture.ipynb)\n8. [Foundations / 02 Negative Wrapped NTT / Lab](../02_negative_wrapped_ntt/lab.ipynb)\n9. [Foundations / 02 Negative Wrapped NTT / Problems](../02_negative_wrapped_ntt/problems.ipynb)\n10. [Foundations / 02 Negative Wrapped NTT / Studio](../02_negative_wrapped_ntt/studio.ipynb)\n11. [Butterfly Mechanics / 03 Fast Forward CT / Lecture](../../butterfly_mechanics/03_fast_forward_ct/lecture.ipynb)\n12. [Butterfly Mechanics / 03 Fast Forward CT / Lab](../../butterfly_mechanics/03_fast_forward_ct/lab.ipynb)\n13. [Butterfly Mechanics / 03 Fast Forward CT / Problems](../../butterfly_mechanics/03_fast_forward_ct/problems.ipynb)\n14. [Butterfly Mechanics / 03 Fast Forward CT / Studio](../../butterfly_mechanics/03_fast_forward_ct/studio.ipynb)\n15. [Butterfly Mechanics / 04 Fast Inverse GS / Lecture](../../butterfly_mechanics/04_fast_inverse_gs/lecture.ipynb)\n16. [Butterfly Mechanics / 04 Fast Inverse GS / Lab](../../butterfly_mechanics/04_fast_inverse_gs/lab.ipynb)\n17. [Butterfly Mechanics / 04 Fast Inverse GS / Problems](../../butterfly_mechanics/04_fast_inverse_gs/problems.ipynb)\n18. [Butterfly Mechanics / 04 Fast Inverse GS / Studio](../../butterfly_mechanics/04_fast_inverse_gs/studio.ipynb)\n19. [Kyber Mapping / 05 Kyber NTT And Base Multiplication / Lecture](../../kyber_mapping/05_kyber_ntt_and_base_multiplication/lecture.ipynb)\n20. [Kyber Mapping / 05 Kyber NTT And Base Multiplication / Lab](../../kyber_mapping/05_kyber_ntt_and_base_multiplication/lab.ipynb)\n21. [Kyber Mapping / 05 Kyber NTT And Base Multiplication / Problems](../../kyber_mapping/05_kyber_ntt_and_base_multiplication/problems.ipynb)\n22. [Kyber Mapping / 05 Kyber NTT And Base Multiplication / Studio](../../kyber_mapping/05_kyber_ntt_and_base_multiplication/studio.ipynb)\n23. [Professional / 06 Debugging NTT Failures / Lecture](../../professional/06_debugging_ntt_failures/lecture.ipynb)\n24. [Professional / 06 Debugging NTT Failures / Lab](../../professional/06_debugging_ntt_failures/lab.ipynb)\n25. [Professional / 06 Debugging NTT Failures / Problems](../../professional/06_debugging_ntt_failures/problems.ipynb)\n26. [Professional / 06 Debugging NTT Failures / Studio](../../professional/06_debugging_ntt_failures/studio.ipynb)\n27. [Course Complete](../../COURSE_COMPLETE.ipynb)\n"
},
{
"cell_type": "markdown",
"metadata": {
"pedagogy": {
"role": "meta",
"difficulty": 1,
"kind": "orientation",
"title": "Lab Goals"
}
},
"source": "## META\n\n<div class=\"ntt-cell-head ntt-role-meta\">\n <span class=\"ntt-difficulty-pill\">Level 1</span>\n <div class=\"ntt-cell-row\">\n <span class=\"ntt-role-pill\">META</span>\n <span class=\"ntt-kind-pill\">orientation</span>\n </div>\n <div class=\"ntt-cell-title\">Lab Goals</div>\n</div>\n\nPredict the movement before you run the code.\n\nThe point is not just to see the picture after the fact.\nThe point is to force your eye to anticipate where the products and wraparound terms will land.\n"
"source": "## MANDATORY\n\n<div class=\"ntt-cell-head ntt-role-mandatory\">\n <span class=\"ntt-difficulty-pill\">Level 2</span>\n <div class=\"ntt-cell-row\">\n <span class=\"ntt-role-pill\">MANDATORY</span>\n <span class=\"ntt-kind-pill\">exercise</span>\n </div>\n <div class=\"ntt-cell-title\">Exercise 1</div>\n</div>\n\nBefore running the next cell:\n\n- name the diagonal sums of the raw schoolbook grid\n- say which tail terms will wrap into slot `0`\n- say whether they add or subtract in `x^4 + 1`\n"
"source": "## MANDATORY\n\n<div class=\"ntt-cell-head ntt-role-mandatory\">\n <span class=\"ntt-difficulty-pill\">Level 2</span>\n <div class=\"ntt-cell-row\">\n <span class=\"ntt-role-pill\">MANDATORY</span>\n <span class=\"ntt-kind-pill\">exercise</span>\n </div>\n <div class=\"ntt-cell-title\">Exercise 2</div>\n</div>\n\nPick one number in the raw tail and follow it all the way to its final slot.\nDo not say \u201cit wraps around\u201d.\nSay exactly:\n\n- where it started\n- how many wraps happened\n- whether the sign flipped\n- where it finished\n"
"source": "## MANDATORY\n\n<div class=\"ntt-cell-head ntt-role-mandatory\">\n <span class=\"ntt-difficulty-pill\">Level 2</span>\n <div class=\"ntt-cell-row\">\n <span class=\"ntt-role-pill\">MANDATORY</span>\n <span class=\"ntt-kind-pill\">reflection</span>\n </div>\n <div class=\"ntt-cell-title\">Reflection</div>\n</div>\n\nReflection prompt:\n\n- What felt easier to see in the grid than in symbolic polynomial notation?\n- What exactly makes negacyclic folding more annoying than ordinary wraparound?\n- If you had to explain `x^n + 1` to somebody visually, what would you draw?\n"
