But only 47 per cent of members of the rightwing AfD said they the same, compared with 48 per cent who said the opposite.
The Halle attacker, 27-year-old Stephan Balliet, tried to shoot his way into the shul last Tuesday while he livestreamed his attack online.
At the start of his video he gave a short statement blaming feminism for falling birth rates and denying the Holocaust.
He killed one woman outside the shul and then drove to a kebab shop where he killed another man.
After his arrest, he admitted having an antisemitic motive.
German police seized evidence from the flat in Halle that he shared with his mother. The items included a 3D printer with which he is believed to have produced the home-made guns that he used in the attack.
The suspect’s mother said in an interview with Der Spiegel that he had experimented with drugs in his early 20s and emerged as a “different person”, having barely survived the experience.
His father told Bild that his son was a “friendless figure” who lived his life online and blamed others for his own failings.