In addition to the hate crime charges, some of them also face additional counts of aggravated kidnapping, aggravated battery and aggravated unlawful restraint.
He faces additional counts related to obstruction of justice.
The indictment contained eight additional counts alleging substantive offenses.
The new indictment charges Mr. White with five additional counts of second-degree murder.
The jurors failed to reach a unanimous agreement on several counts, including additional counts of theft, fraud and conspiracy.
But Mr. Snowden is likely to be indicted, and additional counts may well be added.
The district attorney's office also filed two additional counts of first-degree murder for Bella and Celeste.
Mr. Ravi was also charged with additional counts of privacy invasion.
These additional counts, however, beget risks of their own, including prolonged operative times, exposure to radiation, and increased cost.
Judge Obus, who made no ruling, may reject the request or dismiss the grand larceny charge or the additional counts of stock fraud and falsifying business records.
Prosecutors have said they may press for additional counts that would make the invasion of privacy a hate crime.
