円分多項式の一覧 (105個)

多項式の数式処理を行うための自作 Rust クレートの動作確認のために円分多項式を 105 個生成してみました. $\Phi_{30}(x)$ までと $\Phi_{105}(x)$ は合っているようなので, たぶんどれも正しいと思います.

$$\Phi_{1}(x) = x-1$$ $$\Phi_{2}(x) = x+1$$ $$\Phi_{3}(x) = x^{2}+x+1$$ $$\Phi_{4}(x) = x^{2}+1$$ $$\Phi_{5}(x) = x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{6}(x) = x^{2}-x+1$$ $$\Phi_{7}(x) = x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{8}(x) = x^{4}+1$$ $$\Phi_{9}(x) = x^{6}+x^{3}+1$$ $$\Phi_{10}(x) = x^{4}-x^{3}+x^{2}-x+1$$ $$\Phi_{11}(x) = x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{12}(x) = x^{4}-x^{2}+1$$ $$\Phi_{13}(x) = x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{14}(x) = x^{6}-x^{5}+x^{4}-x^{3}+x^{2}-x+1$$ $$\Phi_{15}(x) = x^{8}-x^{7}+x^{5}-x^{4}+x^{3}-x+1$$ $$\Phi_{16}(x) = x^{8}+1$$ $$\Phi_{17}(x) = x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{18}(x) = x^{6}-x^{3}+1$$ $$\Phi_{19}(x) = x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{20}(x) = x^{8}-x^{6}+x^{4}-x^{2}+1$$ $$\Phi_{21}(x) = x^{12}-x^{11}+x^{9}-x^{8}+x^{6}-x^{4}+x^{3}-x+1$$ $$\Phi_{22}(x) = x^{10}-x^{9}+x^{8}-x^{7}+x^{6}-x^{5}+x^{4}-x^{3}+x^{2}-x+1$$ $$\Phi_{23}(x) = x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{24}(x) = x^{8}-x^{4}+1$$ $$\Phi_{25}(x) = x^{20}+x^{15}+x^{10}+x^{5}+1$$ $$\Phi_{26}(x) = x^{12}-x^{11}+x^{10}-x^{9}+x^{8}-x^{7}+x^{6}-x^{5}+x^{4}-x^{3}+x^{2}-x+1$$ $$\Phi_{27}(x) = x^{18}+x^{9}+1$$ $$\Phi_{28}(x) = x^{12}-x^{10}+x^{8}-x^{6}+x^{4}-x^{2}+1$$ $$\Phi_{29}(x) = x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{30}(x) = x^{8}+x^{7}-x^{5}-x^{4}-x^{3}+x+1$$ $$\Phi_{31}(x) = x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{32}(x) = x^{16}+1$$ $$\Phi_{33}(x) = x^{20}-x^{19}+x^{17}-x^{16}+x^{14}-x^{13}+x^{11}-x^{10}+x^{9}-x^{7}+x^{6}-x^{4}+x^{3}-x+1$$ $$\Phi_{34}(x) = x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^{9}+x^{8}-x^{7}+x^{6}-x^{5}+x^{4}-x^{3}+x^{2}-x+1$$ $$\Phi_{35}(x) = x^{24}-x^{23}+x^{19}-x^{18}+x^{17}-x^{16}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^{8}+x^{7}-x^{6}+x^{5}-x+1$$ $$\Phi_{36}(x) = x^{12}-x^{6}+1$$ $$\Phi_{37}(x) = x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{38}(x) = x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^{9}+x^{8}-x^{7}+x^{6}-x^{5}+x^{4}-x^{3}+x^{2}-x+1$$ $$\Phi_{39}(x) = x^{24}-x^{23}+x^{21}-x^{20}+x^{18}-x^{17}+x^{15}-x^{14}+x^{12}-x^{10}+x^{9}-x^{7}+x^{6}-x^{4}+x^{3}-x+1$$ $$\Phi_{40}(x) = x^{16}-x^{12}+x^{8}-x^{4}+1$$ $$\Phi_{41}(x) = x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{42}(x) = x^{12}+x^{11}-x^{9}-x^{8}+x^{6}-x^{4}-x^{3}+x+1$$ $$\Phi_{43}(x) = x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{44}(x) = x^{20}-x^{18}+x^{16}-x^{14}+x^{12}-x^{10}+x^{8}-x^{6}+x^{4}-x^{2}+1$$ $$\Phi_{45}(x) = x^{24}-x^{21}+x^{15}-x^{12}+x^{9}-x^{3}+1$$ $$\Phi_{46}(x) = x^{22}-x^{21}+x^{20}-x^{19}+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^{9}+x^{8}-x^{7}+x^{6}-x^{5}+x^{4}-x^{3}+x^{2}-x+1$$ $$\Phi_{47}(x) = x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{48}(x) = x^{16}-x^{8}+1$$ $$\Phi_{49}(x) = x^{42}+x^{35}+x^{28}+x^{21}+x^{14}+x^{7}+1$$ $$\Phi_{50}(x) = x^{20}-x^{15}+x^{10}-x^{5}+1$$ $$\Phi_{51}(x) = x^{32}-x^{31}+x^{29}-x^{28}+x^{26}-x^{25}+x^{23}-x^{22}+x^{20}-x^{19}+x^{17}-x^{16}+x^{15}-x^{13}+x^{12}-x^{10}+x^{9}-x^{7}+x^{6}-x^{4}+x^{3}-x+1$$ $$\Phi_{52}(x) = x^{24}-x^{22}+x^{20}-x^{18}+x^{16}-x^{14}+x^{12}-x^{10}+x^{8}-x^{6}+x^{4}-x^{2}+1$$ $$\Phi_{53}(x) = x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{54}(x) = x^{18}-x^{9}+1$$ $$\Phi_{55}(x) = x^{40}-x^{39}+x^{35}-x^{34}+x^{30}-x^{28}+x^{25}-x^{23}+x^{20}-x^{17}+x^{15}-x^{12}+x^{10}-x^{6}+x^{5}-x+1$$ $$\Phi_{56}(x) = x^{24}-x^{20}+x^{16}-x^{12}+x^{8}-x^{4}+1$$ $$\Phi_{57}(x) = x^{36}-x^{35}+x^{33}-x^{32}+x^{30}-x^{29}+x^{27}-x^{26}+x^{24}-x^{23}+x^{21}-x^{20}+x^{18}-x^{16}+x^{15}-x^{13}+x^{12}-x^{10}+x^{9}-x^{7}+x^{6}-x^{4}+x^{3}-x+1$$ $$\Phi_{58}(x) = x^{28}-x^{27}+x^{26}-x^{25}+x^{24}-x^{23}+x^{22}-x^{21}+x^{20}-x^{19}+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^{9}+x^{8}-x^{7}+x^{6}-x^{5}+x^{4}-x^{3}+x^{2}-x+1$$ $$\Phi_{59}(x) = x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{60}(x) = x^{16}+x^{14}-x^{10}-x^{8}-x^{6}+x^{2}+1$$ $$\Phi_{61}(x) = x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{62}(x) = x^{30}-x^{29}+x^{28}-x^{27}+x^{26}-x^{25}+x^{24}-x^{23}+x^{22}-x^{21}+x^{20}-x^{19}+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^{9}+x^{8}-x^{7}+x^{6}-x^{5}+x^{4}-x^{3}+x^{2}-x+1$$ $$\Phi_{63}(x) = x^{36}-x^{33}+x^{27}-x^{24}+x^{18}-x^{12}+x^{9}-x^{3}+1$$ $$\Phi_{64}(x) = x^{32}+1$$ $$\Phi_{65}(x) = x^{48}-x^{47}+x^{43}-x^{42}+x^{38}-x^{37}+x^{35}-x^{34}+x^{33}-x^{32}+x^{30}-x^{29}+x^{28}-x^{27}+x^{25}-x^{24}+x^{23}-x^{21}+x^{20}-x^{19}+x^{18}-x^{16}+x^{15}-x^{14}+x^{13}-x^{11}+x^{10}-x^{6}+x^{5}-x+1$$ $$\Phi_{66}(x) = x^{20}+x^{19}-x^{17}-x^{16}+x^{14}+x^{13}-x^{11}-x^{10}-x^{9}+x^{7}+x^{6}-x^{4}-x^{3}+x+1$$ $$\Phi_{67}(x) = x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{68}(x) = x^{32}-x^{30}+x^{28}-x^{26}+x^{24}-x^{22}+x^{20}-x^{18}+x^{16}-x^{14}+x^{12}-x^{10}+x^{8}-x^{6}+x^{4}-x^{2}+1$$ $$\Phi_{69}(x) = x^{44}-x^{43}+x^{41}-x^{40}+x^{38}-x^{37}+x^{35}-x^{34}+x^{32}-x^{31}+x^{29}-x^{28}+x^{26}-x^{25}+x^{23}-x^{22}+x^{21}-x^{19}+x^{18}-x^{16}+x^{15}-x^{13}+x^{12}-x^{10}+x^{9}-x^{7}+x^{6}-x^{4}+x^{3}-x+1$$ $$\Phi_{70}(x) = x^{24}+x^{23}-x^{19}-x^{18}-x^{17}-x^{16}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}-x^{8}-x^{7}-x^{6}-x^{5}+x+1$$ $$\Phi_{71}(x) = x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{72}(x) = x^{24}-x^{12}+1$$ $$\Phi_{73}(x) = x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{74}(x) = x^{36}-x^{35}+x^{34}-x^{33}+x^{32}-x^{31}+x^{30}-x^{29}+x^{28}-x^{27}+x^{26}-x^{25}+x^{24}-x^{23}+x^{22}-x^{21}+x^{20}-x^{19}+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^{9}+x^{8}-x^{7}+x^{6}-x^{5}+x^{4}-x^{3}+x^{2}-x+1$$ $$\Phi_{75}(x) = x^{40}-x^{35}+x^{25}-x^{20}+x^{15}-x^{5}+1$$ $$\Phi_{76}(x) = x^{36}-x^{34}+x^{32}-x^{30}+x^{28}-x^{26}+x^{24}-x^{22}+x^{20}-x^{18}+x^{16}-x^{14}+x^{12}-x^{10}+x^{8}-x^{6}+x^{4}-x^{2}+1$$ $$\Phi_{77}(x) = x^{60}-x^{59}+x^{53}-x^{52}+x^{49}-x^{48}+x^{46}-x^{45}+x^{42}-x^{41}+x^{39}-x^{37}+x^{35}-x^{34}+x^{32}-x^{30}+x^{28}-x^{26}+x^{25}-x^{23}+x^{21}-x^{19}+x^{18}-x^{15}+x^{14}-x^{12}+x^{11}-x^{8}+x^{7}-x+1$$ $$\Phi_{78}(x) = x^{24}+x^{23}-x^{21}-x^{20}+x^{18}+x^{17}-x^{15}-x^{14}+x^{12}-x^{10}-x^{9}+x^{7}+x^{6}-x^{4}-x^{3}+x+1$$ $$\Phi_{79}(x) = x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{80}(x) = x^{32}-x^{24}+x^{16}-x^{8}+1$$ $$\Phi_{81}(x) = x^{54}+x^{27}+1$$ $$\Phi_{82}(x) = x^{40}-x^{39}+x^{38}-x^{37}+x^{36}-x^{35}+x^{34}-x^{33}+x^{32}-x^{31}+x^{30}-x^{29}+x^{28}-x^{27}+x^{26}-x^{25}+x^{24}-x^{23}+x^{22}-x^{21}+x^{20}-x^{19}+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^{9}+x^{8}-x^{7}+x^{6}-x^{5}+x^{4}-x^{3}+x^{2}-x+1$$ $$\Phi_{83}(x) = x^{82}+x^{81}+x^{80}+x^{79}+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{84}(x) = x^{24}+x^{22}-x^{18}-x^{16}+x^{12}-x^{8}-x^{6}+x^{2}+1$$ $$\Phi_{85}(x) = x^{64}-x^{63}+x^{59}-x^{58}+x^{54}-x^{53}+x^{49}-x^{48}+x^{47}-x^{46}+x^{44}-x^{43}+x^{42}-x^{41}+x^{39}-x^{38}+x^{37}-x^{36}+x^{34}-x^{33}+x^{32}-x^{31}+x^{30}-x^{28}+x^{27}-x^{26}+x^{25}-x^{23}+x^{22}-x^{21}+x^{20}-x^{18}+x^{17}-x^{16}+x^{15}-x^{11}+x^{10}-x^{6}+x^{5}-x+1$$ $$\Phi_{86}(x) = x^{42}-x^{41}+x^{40}-x^{39}+x^{38}-x^{37}+x^{36}-x^{35}+x^{34}-x^{33}+x^{32}-x^{31}+x^{30}-x^{29}+x^{28}-x^{27}+x^{26}-x^{25}+x^{24}-x^{23}+x^{22}-x^{21}+x^{20}-x^{19}+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^{9}+x^{8}-x^{7}+x^{6}-x^{5}+x^{4}-x^{3}+x^{2}-x+1$$ $$\Phi_{87}(x) = x^{56}-x^{55}+x^{53}-x^{52}+x^{50}-x^{49}+x^{47}-x^{46}+x^{44}-x^{43}+x^{41}-x^{40}+x^{38}-x^{37}+x^{35}-x^{34}+x^{32}-x^{31}+x^{29}-x^{28}+x^{27}-x^{25}+x^{24}-x^{22}+x^{21}-x^{19}+x^{18}-x^{16}+x^{15}-x^{13}+x^{12}-x^{10}+x^{9}-x^{7}+x^{6}-x^{4}+x^{3}-x+1$$ $$\Phi_{88}(x) = x^{40}-x^{36}+x^{32}-x^{28}+x^{24}-x^{20}+x^{16}-x^{12}+x^{8}-x^{4}+1$$ $$\Phi_{89}(x) = x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}+x^{80}+x^{79}+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{90}(x) = x^{24}+x^{21}-x^{15}-x^{12}-x^{9}+x^{3}+1$$ $$\Phi_{91}(x) = x^{72}-x^{71}+x^{65}-x^{64}+x^{59}-x^{57}+x^{52}-x^{50}+x^{46}-x^{43}+x^{39}-x^{36}+x^{33}-x^{29}+x^{26}-x^{22}+x^{20}-x^{15}+x^{13}-x^{8}+x^{7}-x+1$$ $$\Phi_{92}(x) = x^{44}-x^{42}+x^{40}-x^{38}+x^{36}-x^{34}+x^{32}-x^{30}+x^{28}-x^{26}+x^{24}-x^{22}+x^{20}-x^{18}+x^{16}-x^{14}+x^{12}-x^{10}+x^{8}-x^{6}+x^{4}-x^{2}+1$$ $$\Phi_{93}(x) = x^{60}-x^{59}+x^{57}-x^{56}+x^{54}-x^{53}+x^{51}-x^{50}+x^{48}-x^{47}+x^{45}-x^{44}+x^{42}-x^{41}+x^{39}-x^{38}+x^{36}-x^{35}+x^{33}-x^{32}+x^{30}-x^{28}+x^{27}-x^{25}+x^{24}-x^{22}+x^{21}-x^{19}+x^{18}-x^{16}+x^{15}-x^{13}+x^{12}-x^{10}+x^{9}-x^{7}+x^{6}-x^{4}+x^{3}-x+1$$ $$\Phi_{94}(x) = x^{46}-x^{45}+x^{44}-x^{43}+x^{42}-x^{41}+x^{40}-x^{39}+x^{38}-x^{37}+x^{36}-x^{35}+x^{34}-x^{33}+x^{32}-x^{31}+x^{30}-x^{29}+x^{28}-x^{27}+x^{26}-x^{25}+x^{24}-x^{23}+x^{22}-x^{21}+x^{20}-x^{19}+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^{9}+x^{8}-x^{7}+x^{6}-x^{5}+x^{4}-x^{3}+x^{2}-x+1$$ $$\Phi_{95}(x) = x^{72}-x^{71}+x^{67}-x^{66}+x^{62}-x^{61}+x^{57}-x^{56}+x^{53}-x^{51}+x^{48}-x^{46}+x^{43}-x^{41}+x^{38}-x^{36}+x^{34}-x^{31}+x^{29}-x^{26}+x^{24}-x^{21}+x^{19}-x^{16}+x^{15}-x^{11}+x^{10}-x^{6}+x^{5}-x+1$$ $$\Phi_{96}(x) = x^{32}-x^{16}+1$$ $$\Phi_{97}(x) = x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}+x^{90}+x^{89}+x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}+x^{80}+x^{79}+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{98}(x) = x^{42}-x^{35}+x^{28}-x^{21}+x^{14}-x^{7}+1$$ $$\Phi_{99}(x) = x^{60}-x^{57}+x^{51}-x^{48}+x^{42}-x^{39}+x^{33}-x^{30}+x^{27}-x^{21}+x^{18}-x^{12}+x^{9}-x^{3}+1$$ $$\Phi_{100}(x) = x^{40}-x^{30}+x^{20}-x^{10}+1$$ $$\Phi_{101}(x) = x^{100}+x^{99}+x^{98}+x^{97}+x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}+x^{90}+x^{89}+x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}+x^{80}+x^{79}+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{102}(x) = x^{32}+x^{31}-x^{29}-x^{28}+x^{26}+x^{25}-x^{23}-x^{22}+x^{20}+x^{19}-x^{17}-x^{16}-x^{15}+x^{13}+x^{12}-x^{10}-x^{9}+x^{7}+x^{6}-x^{4}-x^{3}+x+1$$ $$\Phi_{103}(x) = x^{102}+x^{101}+x^{100}+x^{99}+x^{98}+x^{97}+x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}+x^{90}+x^{89}+x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}+x^{80}+x^{79}+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1$$ $$\Phi_{104}(x) = x^{48}-x^{44}+x^{40}-x^{36}+x^{32}-x^{28}+x^{24}-x^{20}+x^{16}-x^{12}+x^{8}-x^{4}+1$$ $$\Phi_{105}(x) = x^{48}+x^{47}+x^{46}-x^{43}-x^{42}-2x^{41}-x^{40}-x^{39}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}-x^{28}-x^{26}-x^{24}-x^{22}-x^{20}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}-x^{9}-x^{8}-2x^{7}-x^{6}-x^{5}+x^{2}+x+1$$