Nonlift and nonlift candidate paramodular cusp forms

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Fourier Coefficients Proof of at most one nonlift Proof/conjecture of existence, integrality, congruences
277 277 277
349 349 349
353 353 353
389 389 389
461 461 461
523 523 523
587 minus 587 587 minus
587 plus 587 587 plus

Proof of no nonlifts

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Proof level
3 proof
5 proof
7 proof
11 proof
13 proof
17 proof
19 proof
23 proof
29 proof
31 proof
37 proof
41 proof
43 proof
47 proof
53 proof
59 proof
61 proof
67 proof
71 proof
73 proof
79 proof
83 proof
89 proof
97 proof
101 proof
103 proof
107 proof
109 proof
113 proof
127 proof
131 proof
137 proof
139 proof
149 proof
151 proof
157 proof
163 proof
167 proof
173 proof
179 proof
181 proof
191 proof
193 proof
197 proof
199 proof
211 proof
223 proof
227 proof
229 proof
233 proof
239 proof
241 proof
251 proof
257 proof
263 proof
269 proof
271 proof
277 (see above table)
281 proof
283 proof
293 proof
307 proof
311 proof
313 proof
317 proof
331 proof
337 proof
347 proof
349 (see above table)
353 (see above table)
359 proof
367 proof
373 proof
379 proof
383 proof
389 (see above table)
397 proof
401 proof
409 proof
419 proof
421 proof
431 proof
433 proof
439 proof
443 proof
449 proof
457 proof
461 (see above table)
463 proof
467 proof
479 proof
487 proof
491 proof
499 is special, read appendix of paper.
503 proof
509 proof
521 proof
523 (see above table)
541 proof
547 proof
557 proof
563 proof
569 proof
571 proof
577 proof
587 (see above table)
593 proof
599 proof