User:Pteriforever/ordinals6

Ordinal indices 640 - 768: Up To φ_ε_0(0)
\[640: \phi_\omega(0)\]

\[641: \phi_\omega(\omega)\]

\[642: \phi_\omega(\epsilon_0)\]

\[643: \phi_\omega(\zeta_0)\]

\[644: \phi_\omega(\phi_\omega(0))\]

\[645: \phi_\omega(\phi_\omega(\epsilon_0))\]

\[646: \phi_\omega(\phi_\omega(\phi_\omega(0)))\]

\[647: \phi_\omega(\phi_\omega(\phi_\omega(\phi_\omega(0))))\]

\[648: \phi_{\omega + 1}(0)\]

\[649: \phi_{\omega + 1}(\phi_\omega(0))\]

\[650: \phi_{\omega + 1}(\phi_{\omega + 1}(0))\]

\[651: \phi_{\omega + 1}(\phi_{\omega + 1}(\phi_{\omega + 1}(0)))\]

\[652: \phi_{\omega + 2}(0)\]

\[653: \phi_{\omega + 2}(\phi_{\omega + 2}(0))\]

\[654: \phi_{\omega + 3}(0)\]

\[655: \phi_{\omega + 4}(0)\]

\[656: \phi_{\omega \times 2}(0)\]

\[657: \phi_{\omega \times 2}(\phi_\omega(0))\]

\[658: \phi_{\omega \times 2}(\phi_{\omega \times 2}(0))\]

\[659: \phi_{\omega \times 2}(\phi_{\omega \times 2}(\phi_{\omega \times 2}(0)))\]

\[660: \phi_{\omega \times 2 + 1}(0)\]

\[661: \phi_{\omega \times 2 + 1}(\phi_{\omega \times 2 + 1}(0))\]

\[662: \phi_{\omega \times 2 + 2}(0)\]

\[663: \phi_{\omega \times 2 + 3}(0)\]

\[664: \phi_{\omega \times 3}(0)\]

\[665: \phi_{\omega \times 3}(\phi_{\omega \times 3}(0))\]

\[666: \phi_{\omega \times 3 + 1}(0)\]

\[667: \phi_{\omega \times 3 + 2}(0)\]

\[668: \phi_{\omega \times 4}(0)\]

\[669: \phi_{\omega \times 4 + 1}(0)\]

\[670: \phi_{\omega \times 5}(0)\]

\[671: \phi_{\omega \times 6}(0)\]

\[672: \phi_{\omega^2}(0)\]

\[673: \phi_{\omega^2}(\phi_{\omega^2}(0))\]

\[674: \phi_{\omega^2 + 1}(0)\]

\[675: \phi_{\omega^2 + 2}(0)\]

\[676: \phi_{\omega^2 + \omega}(0)\]

\[677: \phi_{\omega^2 + \omega + 1}(0)\]

\[678: \phi_{\omega^2 + \omega \times 2}(0)\]

\[679: \phi_{\omega^2 + \omega \times 3}(0)\]

\[680: \phi_{\omega^2 \times 2}(0)\]

\[681: \phi_{\omega^2 \times 2 + 1}(0)\]

\[682: \phi_{\omega^2 \times 2 + \omega}(0)\]

\[683: \phi_{\omega^2 \times 2 + \omega \times 2}(0)\]

\[684: \phi_{\omega^2 \times 3}(0)\]

\[685: \phi_{\omega^2 \times 3 + \omega}(0)\]

\[686: \phi_{\omega^2 \times 4}(0)\]

\[687: \phi_{\omega^2 \times 5}(0)\]

\[688: \phi_{\omega^3}(0)\]

\[689: \phi_{\omega^3 + \omega}(0)\]

\[690: \phi_{\omega^3 + \omega^2}(0)\]

\[691: \phi_{\omega^3 + \omega^2 \times 2}(0)\]

\[692: \phi_{\omega^3 \times 2}(0)\]

\[693: \phi_{\omega^3 \times 2 + \omega^2}(0)\]

\[694: \phi_{\omega^3 \times 3}(0)\]

\[695: \phi_{\omega^3 \times 4}(0)\]

\[696: \phi_{\omega^4}(0)\]

\[697: \phi_{\omega^4 + \omega^3}(0)\]

\[698: \phi_{\omega^4 \times 2}(0)\]

\[699: \phi_{\omega^4 \times 3}(0)\]

\[700: \phi_{\omega^5}(0)\]

\[701: \phi_{\omega^5 \times 2}(0)\]

\[702: \phi_{\omega^6}(0)\]

\[703: \phi_{\omega^7}(0)\]

\[704: \phi_{\omega^\omega}(0)\]

\[705: \phi_{\omega^\omega + \omega}(0)\]

\[706: \phi_{\omega^\omega \times 2}(0)\]

\[707: \phi_{\omega^\omega \times 3}(0)\]

\[708: \phi_{\omega^{\omega + 1}}(0)\]

\[709: \phi_{\omega^{\omega + 1} \times 2}(0)\]

\[710: \phi_{\omega^{\omega + 2}}(0)\]

\[711: \phi_{\omega^{\omega + 3}}(0)\]

\[712: \phi_{\omega^{\omega \times 2}}(0)\]

\[713: \phi_{\omega^{\omega \times 2} \times 2}(0)\]

\[714: \phi_{\omega^{\omega \times 2 + 1}}(0)\]

\[715: \phi_{\omega^{\omega \times 2 + 2}}(0)\]

\[716: \phi_{\omega^{\omega \times 3}}(0)\]

\[717: \phi_{\omega^{\omega \times 3 + 1}}(0)\]

\[718: \phi_{\omega^{\omega \times 4}}(0)\]

\[719: \phi_{\omega^{\omega \times 5}}(0)\]

\[720: \phi_{\omega^{\omega^2}}(0)\]

\[721: \phi_{\omega^{\omega^2 + 1}}(0)\]

\[722: \phi_{\omega^{\omega^2 + \omega}}(0)\]

\[723: \phi_{\omega^{\omega^2 + \omega \times 2}}(0)\]

\[724: \phi_{\omega^{\omega^2 \times 2}}(0)\]

\[725: \phi_{\omega^{\omega^2 \times 2 + \omega}}(0)\]

\[726: \phi_{\omega^{\omega^2 \times 3}}(0)\]

\[727: \phi_{\omega^{\omega^2 \times 4}}(0)\]

\[728: \phi_{\omega^{\omega^3}}(0)\]

\[729: \phi_{\omega^{\omega^3 + \omega^2}}(0)\]

\[730: \phi_{\omega^{\omega^3 \times 2}}(0)\]

\[731: \phi_{\omega^{\omega^3 \times 3}}(0)\]

\[732: \phi_{\omega^{\omega^4}}(0)\]

\[733: \phi_{\omega^{\omega^4 \times 2}}(0)\]

\[734: \phi_{\omega^{\omega^5}}(0)\]

\[735: \phi_{\omega^{\omega^6}}(0)\]

\[736: \phi_{\omega^{\omega^\omega}}(0)\]

\[737: \phi_{\omega^{\omega^{\omega + 1}}}(0)\]

\[738: \phi_{\omega^{\omega^{\omega \times 2}}}(0)\]

\[739: \phi_{\omega^{\omega^{\omega \times 3}}}(0)\]

\[740: \phi_{\omega^{\omega^{\omega^2}}}(0)\]

\[741: \phi_{\omega^{\omega^{\omega^2 + 1}}}(0)\]

\[742: \phi_{\omega^{\omega^{\omega^2 + \omega}}}(0)\]

\[743: \phi_{\omega^{\omega^{\omega^2 + \omega \times 2}}}(0)\]

\[744: \phi_{\omega^{\omega^{\omega^2 \times 2}}}(0)\]

\[745: \phi_{\omega^{\omega^{\omega^2 \times 2 + \omega}}}(0)\]

\[746: \phi_{\omega^{\omega^{\omega^2 \times 3}}}(0)\]

\[747: \phi_{\omega^{\omega^{\omega^2 \times 4}}}(0)\]

\[748: \phi_{\omega^{\omega^{\omega^3}}}(0)\]

\[749: \phi_{\omega^{\omega^{\omega^3 \times 2}}}(0)\]

\[750: \phi_{\omega^{\omega^{\omega^4}}}(0)\]

\[751: \phi_{\omega^{\omega^{\omega^5}}}(0)\]

\[752: \phi_{\omega^{\omega^{\omega^\omega}}}(0)\]

\[753: \phi_{\omega^{\omega^{\omega^{\omega + 1}}}}(0)\]

\[754: \phi_{\omega^{\omega^{\omega^{\omega \times 2}}}}(0)\]

\[755: \phi_{\omega^{\omega^{\omega^{\omega \times 3}}}}(0)\]

\[756: \phi_{\omega^{\omega^{\omega^{\omega^2}}}}(0)\]

\[757: \phi_{\omega^{\omega^{\omega^{\omega^2 \times 2}}}}(0)\]

\[758: \phi_{\omega^{\omega^{\omega^{\omega^3}}}}(0)\]

\[759: \phi_{\omega^{\omega^{\omega^{\omega^4}}}}(0)\]

\[760: \phi_{\omega^{\omega^{\omega^{\omega^\omega}}}}}(0)\]

\[761: \phi_{\omega^{\omega^{\omega^{\omega^{\omega \times 2}}}}}(0)\]

\[762: \phi_{\omega^{\omega^{\omega^{\omega^{\omega^2}}}}}(0)\]

\[763: \phi_{\omega^{\omega^{\omega^{\omega^{\omega^3}}}}}(0)\]

\[764: \phi_{\omega^{\omega^{\omega^{\omega^{\omega^\omega}}}}}(0)\]

\[765: \phi_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^2}}}}}}(0)\]

\[766: \phi_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^\omega}}}}}}(0)\]

\[767: \phi_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^\omega}}}}}}}(0)\]

\[768: \phi_{\epsilon_0}(0)\]