BRIGHAM EXPLORATION CO
SC 13D/A, EX-99.L, 2000-11-06
CRUDE PETROLEUM & NATURAL GAS
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                                                                       EXHIBIT L

                             JOINT FILING AGREEMENT

     The undersigned each agree that (i) the amendment to Schedule 13D (the
"Amendment") relating to the common stock, par value $0.01 per share, of Brigham
Exploration Company has been adopted and filed on behalf of each of them, (ii)
all future amendments to such Amendment will, unless written notice to the
contrary is delivered as described below, be jointly filed on behalf of each of
them, and (iii) the provisions of Rule 13d-1(k)(1) under the Securities Exchange
Act of 1934 apply to each of them. This agreement may be terminated with respect
to the obligation to jointly file future amendments to such Amendment as to any
of the undersigned upon such person giving written notice thereof to each of the
other persons signatory hereto, at the principal office thereof.

     EXECUTED as of November 6, 2000

                                       SHELL CAPITAL INC.


                                       By: /s/ R. W. LEFTWICH
                                           ------------------------------
                                       Name:   R. W. Leftwich
                                       Title:  President


                                       SHELL OIL COMPANY


                                       By: /s/ R. W. LEFTWICH
                                           ------------------------------
                                       Name:   R. W. Leftwich
                                       Title:  Treasurer


                                       SHELL PETROLEUM INC.


                                       By: /s/ R. W. LEFTWICH
                                           ------------------------------
                                       Name:   R. W. Leftwich
                                       Title:  Assistant Treasurer


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