All of the other parties with representatives likely to be...

All of the other parties with representatives likely to be elected in the Thuringia state election have refused to form a coalition with the AfD in that state. Therefore, based on preliminary results, the AfD will be outnumbered and won't be able to form a government.

The Sahra Wagenknecht Alliance (BSW) is firmly in third place, ahead of theLeft Party— the old party of BSW leader Wagenknecht.

Based on initial projected results, the 88-seat parliament is now projected to have about 31 AfD lawmakers, 23 from the CDU, 15 from BSW, 13 from the Left Party and only 6 from the Social Democrats. With the Greens having apparently failed to make the 5% threshold required to make it into parliament, they won't get a single seat. Given that all other parties have ruled out a coalition with the AfD, it appears extremely unlikely the far-right party would be able to form a government. But the fact they're on track to control over one-third of the seats means they would be able to block some state assembly decisions, such as voting for judges.

https://www.dw.com/en/german-state-elections-who-won-who-lost-results-by-the-numbers/a-70105893