Canto 2 -
Ayodhyā-kāṇḍa
Chapter 35: Furious Sumantra Criticizes Kaikeyī
Text 2.35.6
पतिघ्नीं त्वामहं मन्ये कुलघ्नीमपि चान्ततः॥
patighnīṁ tvām ahaṁ manye kulaghnīm api cāntataḥ
patighnīm = to be a killer of your husband; tvām = you; aham = I; manye = consider; kulaghnīm api = a killer of the dynasty; ca = and; antataḥ = ultimately.
I consider you to be a killer of your husband and ultimately a killer of the dynasty.
By killing her husband, she is killing everyone [in the dynasty]. That is implied here.