Euclid preparation - LXXVII. The NISP spectroscopy channel: Ground performance and calibration

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Table A.1

Averaged calibration coefficients given in the Chebyshev basis, $C_{i}^{κ}$ $Mathematical equation: $C_i^\kappa $$ , and in their regular polynomial basis, $w_{i}^{κ}$ $Mathematical equation: $w_i^\kappa $$ .

Grism	Coef.	Chebyshev polynomial coefficients				Regular polynomial coefficient
		${〈 C_{0}^{κ} 〉}_{y z}$ $Mathematical equation: ${\left\langle {C_0^\kappa } \right\rangle _{yz}}$$	${〈 C_{1}^{κ} 〉}_{y z}$ $Mathematical equation: ${\left\langle {C_1^\kappa } \right\rangle _{yz}}$$	${〈 C_{2}^{κ} 〉}_{y z}$ $Mathematical equation: ${\left\langle {C_2^\kappa } \right\rangle _{yz}}$$	${〈 C_{3}^{κ} 〉}_{y z}$ $Mathematical equation: ${\left\langle {C_3^\kappa } \right\rangle _{yz}}$$	${〈 w_{0}^{κ} 〉}_{y z}$ $Mathematical equation: ${\left\langle {w_0^\kappa } \right\rangle _{yz}}$$ [mm]	${〈 w_{1}^{κ} 〉}_{y z}$ $Mathematical equation: ${\left\langle {w_1^\kappa } \right\rangle _{yz}}$$ [mm/nm]	${〈 w_{2}^{κ} 〉}_{y z}$ $Mathematical equation: ${\left\langle {w_2^\kappa } \right\rangle _{yz}}$$ [mm/nm²]	${〈 w_{3}^{κ} 〉}_{y z}$ $Mathematical equation: ${\left\langle {w_3^\kappa } \right\rangle _{yz}}$$ [mm/nm³]
BGS000	C^y	6.7399 × 10⁻²	1.5603 × 10⁻²	−1.9453 × 10⁻⁴		6.7399 × 10⁻²	1.5603 × 10⁻²	−1.9453 × 10⁻⁴
	C^z	1.5480 × 10¹	3.5725	−2.0014 × 10⁻³		1.5480 × 10¹	3.5725	−2.0014 × 10⁻³
RGS000-4	C^y	1.4183	3.3267 × 10⁻¹	2.4864 × 10⁻⁴		1.4183	3.3267 × 10⁻¹	2.4864 × 10⁻⁴
	C^z	1.9622 × 10¹	4.5898	4.6133 × 10⁻³	8.5595 × 10⁻⁴	1.9622 × 10¹	4.5898	4.6133 × 10⁻³	8.5595 × 10⁻⁴
RGS000	C^y	5.0701 × 10⁻²	1.2487 × 10⁻²	−8.6940 × 10⁻⁵		5.0701 × 10⁻²	1.2487 × 10⁻²	−8.6940 × 10⁻⁵
	C^z	1.9675 × 10¹	4.6058	4.6519 × 10⁻³	9.4801 × 10⁻⁴	1.9675 × 10¹	4.6058	4.6519 × 10⁻³	9.4801 × 10⁻⁴
RGS000+4	C^y	−1.2965	−3.0384 × 10⁻¹	−3.5768 × 10⁻⁴		−1.2965	−3.0384 × 10⁻¹	−3.5768 × 10⁻⁴
	C^z	1.9636 × 10¹	4.6001	4.4149 × 10⁻³	8.5569 × 10⁻⁴	1.9636 × 10¹	4.6001	4.4149 × 10⁻³	8.5569 × 10⁻⁴
RGS180-4	C^y	−1.4395	−3.3623 × 10⁻¹	2.0877 × 10⁻⁴		−1.4395	−3.3623 × 10⁻¹	2.0877 × 10⁻⁴
	C^z	−1.9634 × 10¹	−4.5974	−4.2116 × 10⁻³	−1.1804 × 10⁻³	−1.9634 × 10¹	−4.5974	−4.2116 × 10⁻³	−1.1804 × 10⁻³
RGS180	C^y	−7.0567 × 10⁻²	−1.5815 × 10⁻²	3.4318 × 10⁻⁴		−7.0567 × 10⁻²	−1.5815 × 10⁻²	3.4318 × 10⁻⁴
	C^z	−1.9679 × 10¹	−4.6050	−4.2045 × 10⁻³	−7.2379 × 10⁻⁴	−1.9679 × 10¹	−4.6050	−4.2045 × 10⁻³	−7.2379 × 10⁻⁴
RGS180+4	C^y	1.3016	3.0505 × 10⁻¹	5.8173 × 10⁻⁴		1.3016	3.0505 × 10⁻¹	5.8173 × 10⁻⁴
	C^z	−1.9633 × 10¹	−4.5914	−4.7848 × 10⁻³	−1.0509 × 10⁻³	−1.9633 × 10¹	−4.5914	−4.7848 × 10⁻³	−1.0509 × 10⁻³

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