{"id":"W2023206789","doi":"10.1007/s00605-002-0547-3","title":"The Index of a Cyclic Quartic Field","year":2003,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University; Okanagan University College; Okanagan College","funders":"","keywords":"Quartic function; Discriminant; Mathematics; Field (mathematics); Index (typography); Quartic surface; Combinatorics; Mathematical physics; Pure mathematics; Computer science","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.004255613,0.0005839,0.001014692,0.0002178193,0.0005198183,0.0001950461,0.001270742,0.0003936494,0.002367789],"category_scores_gemma":[0.007335838,0.000420006,0.0005653157,0.0008213363,0.0005899814,0.0001562868,0.0002758296,0.0009329609,0.001900607],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001455732,"about_ca_system_score_gemma":0.000300433,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004157094,"about_ca_topic_score_gemma":0.00003307094,"domain_scores_codex":[0.994111,0.0009387122,0.001700383,0.0004995279,0.00154284,0.001207531],"domain_scores_gemma":[0.9879561,0.00831429,0.0008235058,0.002236946,0.0003652016,0.0003039485],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001565373,0.0009188736,0.0008246566,0.001411799,0.001045908,0.00004482092,0.005537231,0.00001407231,0.0004419522,0.9506305,0.03311151,0.005862079],"study_design_scores_gemma":[0.001037277,0.0002777313,0.00009444475,0.0003702159,0.0003952988,0.00004016722,0.003968324,0.002442993,0.008431219,0.9470848,0.03532631,0.0005312054],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5243585,0.04245352,0.06943219,0.0121755,0.003761777,0.007172064,0.0001172483,0.0005862545,0.3399429],"genre_scores_gemma":[0.9732751,0.000592935,0.00135131,0.0001876559,0.0001774351,0.0001158529,0.00000267367,0.000160631,0.02413641],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4489166,"threshold_uncertainty_score":0.9998252,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03042238902906416,"score_gpt":0.3387382186786332,"score_spread":0.3083158296495691,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}