#  QCP written by GAMS Convert at 02/15/18 15:46:01
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#        281      281        0        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        761      761        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#       6781     1381     5400        0
# 
#  Reformulation has removed 1 variable and 1 equation


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var x721 >= 0, <= 100;
var x722 >= 0, <= 100000;
var x723 >= 0, <= 100000;
var x724 >= 0, <= 100000;
var x725 >= 0, <= 100000;
var x726 >= 0, <= 100000;
var x727 >= 0, <= 100000;
var x728 >= 0, <= 100000;
var x729 >= 0, <= 100000;
var x730 >= 0, <= 100000;
var x731 >= 0, <= 100000;
var x732 >= 0, <= 100000;
var x733 >= 0, <= 100000;
var x734 >= 0, <= 100000;
var x735 >= 0, <= 100000;
var x736 >= 0, <= 100000;
var x737 >= 0, <= 100000;
var x738 >= 0, <= 100000;
var x739 >= 0, <= 100000;
var x740 >= 0, <= 100000;
var x741 >= 0, <= 100000;
var x742 >= 0, <= 100000;
var x743 >= 0, <= 100000;
var x744 >= 0, <= 100000;
var x745 >= 0, <= 100000;
var x746 >= 0, <= 100000;
var x747 >= 0, <= 100000;
var x748 >= 0, <= 100000;
var x749 >= 0, <= 100000;
var x750 >= 0, <= 100000;
var x751 >= 0, <= 100000;
var x752 >= 0, <= 100000;
var x753 >= 0, <= 100000;
var x754 >= 0, <= 100000;
var x755 >= 0, <= 100000;
var x756 >= 0, <= 100000;
var x757 >= 0, <= 100000;
var x758 >= 0, <= 100000;
var x759 >= 0, <= 100000;
var x760 >= 0, <= 100000;
var x761 >= 0, <= 100000;

minimize obj:    x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13
     + x14 + x15 + x16 + x17 + x18 + x19 + x20 + x21 + x22 + x23 + x24 + x25
     + x26 + x27 + x28 + x29 + x30 + x31 + x32 + x33 + x34 + x35 + x36 + x37
     + x38 + x39 + x40 + x41 + x42 + x43 + x44 + x45 + x46 + x47 + x48 + x49
     + x50 + x51 + x52 + x53 + x54 + x55 + x56 + x57 + x58 + x59 + x60 + x61
     + x62 + x63 + x64 + x65 + x66 + x67 + x68 + x69 + x70 + x71 + x72 + x73
     + x74 + x75 + x76 + x77 + x78 + x79 + x80 + x81;

subject to

e2:  - x2 - x22 - x42 - x62 + x322 - x323 - x324 - x325 - x326 - x327 - x328
     - x329 - x330 - x331 - x332 - x333 - x334 - x335 - x336 - x337 - x338
     - x339 - x340 - x341 - x342 = 0;

e3:  - x3 - x23 - x43 - x63 + x343 - x344 - x345 - x346 - x347 - x348 - x349
     - x350 - x351 - x352 - x353 - x354 - x355 - x356 - x357 - x358 - x359
     - x360 - x361 - x362 - x363 = 0;

e4:  - x4 - x24 - x44 - x64 + x364 - x365 - x366 - x367 - x368 - x369 - x370
     - x371 - x372 - x373 - x374 - x375 - x376 - x377 - x378 - x379 - x380
     - x381 - x382 - x383 - x384 = 0;

e5:  - x5 - x25 - x45 - x65 + x385 - x386 - x387 - x388 - x389 - x390 - x391
     - x392 - x393 - x394 - x395 - x396 - x397 - x398 - x399 - x400 - x401
     - x402 - x403 - x404 - x405 = 0;

e6:  - x6 - x26 - x46 - x66 + x406 - x407 - x408 - x409 - x410 - x411 - x412
     - x413 - x414 - x415 - x416 - x417 - x418 - x419 - x420 - x421 - x422
     - x423 - x424 - x425 - x426 = 0;

e7:  - x7 - x27 - x47 - x67 + x427 - x428 - x429 - x430 - x431 - x432 - x433
     - x434 - x435 - x436 - x437 - x438 - x439 - x440 - x441 - x442 - x443
     - x444 - x445 - x446 - x447 = 0;

e8:  - x8 - x28 - x48 - x68 + x448 - x449 - x450 - x451 - x452 - x453 - x454
     - x455 - x456 - x457 - x458 - x459 - x460 - x461 - x462 - x463 - x464
     - x465 - x466 - x467 - x468 = 0;

e9:  - x9 - x29 - x49 - x69 + x469 - x470 - x471 - x472 - x473 - x474 - x475
     - x476 - x477 - x478 - x479 - x480 - x481 - x482 - x483 - x484 - x485
     - x486 - x487 - x488 - x489 = 0;

e10:  - x10 - x30 - x50 - x70 + x490 - x491 - x492 - x493 - x494 - x495 - x496
      - x497 - x498 - x499 - x500 - x501 - x502 - x503 - x504 - x505 - x506
      - x507 - x508 - x509 - x510 = 0;

e11:  - x11 - x31 - x51 - x71 + x511 - x512 - x513 - x514 - x515 - x516 - x517
      - x518 - x519 - x520 - x521 - x522 - x523 - x524 - x525 - x526 - x527
      - x528 - x529 - x530 - x531 = 0;

e12:  - x12 - x32 - x52 - x72 + x532 - x533 - x534 - x535 - x536 - x537 - x538
      - x539 - x540 - x541 - x542 - x543 - x544 - x545 - x546 - x547 - x548
      - x549 - x550 - x551 - x552 = 0;

e13:  - x13 - x33 - x53 - x73 + x553 - x554 - x555 - x556 - x557 - x558 - x559
      - x560 - x561 - x562 - x563 - x564 - x565 - x566 - x567 - x568 - x569
      - x570 - x571 - x572 - x573 = 0;

e14:  - x14 - x34 - x54 - x74 + x574 - x575 - x576 - x577 - x578 - x579 - x580
      - x581 - x582 - x583 - x584 - x585 - x586 - x587 - x588 - x589 - x590
      - x591 - x592 - x593 - x594 = 0;

e15:  - x15 - x35 - x55 - x75 + x595 - x596 - x597 - x598 - x599 - x600 - x601
      - x602 - x603 - x604 - x605 - x606 - x607 - x608 - x609 - x610 - x611
      - x612 - x613 - x614 - x615 = 0;

e16:  - x16 - x36 - x56 - x76 + x616 - x617 - x618 - x619 - x620 - x621 - x622
      - x623 - x624 - x625 - x626 - x627 - x628 - x629 - x630 - x631 - x632
      - x633 - x634 - x635 - x636 = 0;

e17:  - x17 - x37 - x57 - x77 + x637 - x638 - x639 - x640 - x641 - x642 - x643
      - x644 - x645 - x646 - x647 - x648 - x649 - x650 - x651 - x652 - x653
      - x654 - x655 - x656 - x657 = 0;

e18:  - x18 - x38 - x58 - x78 + x658 - x659 - x660 - x661 - x662 - x663 - x664
      - x665 - x666 - x667 - x668 - x669 - x670 - x671 - x672 - x673 - x674
      - x675 - x676 - x677 - x678 = 0;

e19:  - x19 - x39 - x59 - x79 + x679 - x680 - x681 - x682 - x683 - x684 - x685
      - x686 - x687 - x688 - x689 - x690 - x691 - x692 - x693 - x694 - x695
      - x696 - x697 - x698 - x699 = 0;

e20:  - x20 - x40 - x60 - x80 + x700 - x701 - x702 - x703 - x704 - x705 - x706
      - x707 - x708 - x709 - x710 - x711 - x712 - x713 - x714 - x715 - x716
      - x717 - x718 - x719 - x720 = 0;

e21:  - x21 - x41 - x61 - x81 + x721 - x722 - x723 - x724 - x725 - x726 - x727
      - x728 - x729 - x730 - x731 - x732 - x733 - x734 - x735 - x736 - x737
      - x738 - x739 - x740 - x741 = 0;

e22:    x322 - x323 - x344 - x365 - x386 - x407 - x428 - x449 - x470 - x491
      - x512 - x533 - x554 - x575 - x596 - x617 - x638 - x659 - x680 - x701
      - x722 - x742 = 0;

e23:  - x324 + x343 - x345 - x366 - x387 - x408 - x429 - x450 - x471 - x492
      - x513 - x534 - x555 - x576 - x597 - x618 - x639 - x660 - x681 - x702
      - x723 - x743 = 0;

e24:  - x325 - x346 + x364 - x367 - x388 - x409 - x430 - x451 - x472 - x493
      - x514 - x535 - x556 - x577 - x598 - x619 - x640 - x661 - x682 - x703
      - x724 - x744 = 0;

e25:  - x326 - x347 - x368 + x385 - x389 - x410 - x431 - x452 - x473 - x494
      - x515 - x536 - x557 - x578 - x599 - x620 - x641 - x662 - x683 - x704
      - x725 - x745 = 0;

e26:  - x327 - x348 - x369 - x390 + x406 - x411 - x432 - x453 - x474 - x495
      - x516 - x537 - x558 - x579 - x600 - x621 - x642 - x663 - x684 - x705
      - x726 - x746 = 0;

e27:  - x328 - x349 - x370 - x391 - x412 + x427 - x433 - x454 - x475 - x496
      - x517 - x538 - x559 - x580 - x601 - x622 - x643 - x664 - x685 - x706
      - x727 - x747 = 0;

e28:  - x329 - x350 - x371 - x392 - x413 - x434 + x448 - x455 - x476 - x497
      - x518 - x539 - x560 - x581 - x602 - x623 - x644 - x665 - x686 - x707
      - x728 - x748 = 0;

e29:  - x330 - x351 - x372 - x393 - x414 - x435 - x456 + x469 - x477 - x498
      - x519 - x540 - x561 - x582 - x603 - x624 - x645 - x666 - x687 - x708
      - x729 - x749 = 0;

e30:  - x331 - x352 - x373 - x394 - x415 - x436 - x457 - x478 + x490 - x499
      - x520 - x541 - x562 - x583 - x604 - x625 - x646 - x667 - x688 - x709
      - x730 - x750 = 0;

e31:  - x332 - x353 - x374 - x395 - x416 - x437 - x458 - x479 - x500 + x511
      - x521 - x542 - x563 - x584 - x605 - x626 - x647 - x668 - x689 - x710
      - x731 - x751 = 0;

e32:  - x333 - x354 - x375 - x396 - x417 - x438 - x459 - x480 - x501 - x522
      + x532 - x543 - x564 - x585 - x606 - x627 - x648 - x669 - x690 - x711
      - x732 - x752 = 0;

e33:  - x334 - x355 - x376 - x397 - x418 - x439 - x460 - x481 - x502 - x523
      - x544 + x553 - x565 - x586 - x607 - x628 - x649 - x670 - x691 - x712
      - x733 - x753 = 0;

e34:  - x335 - x356 - x377 - x398 - x419 - x440 - x461 - x482 - x503 - x524
      - x545 - x566 + x574 - x587 - x608 - x629 - x650 - x671 - x692 - x713
      - x734 - x754 = 0;

e35:  - x336 - x357 - x378 - x399 - x420 - x441 - x462 - x483 - x504 - x525
      - x546 - x567 - x588 + x595 - x609 - x630 - x651 - x672 - x693 - x714
      - x735 - x755 = 0;

e36:  - x337 - x358 - x379 - x400 - x421 - x442 - x463 - x484 - x505 - x526
      - x547 - x568 - x589 - x610 + x616 - x631 - x652 - x673 - x694 - x715
      - x736 - x756 = 0;

e37:  - x338 - x359 - x380 - x401 - x422 - x443 - x464 - x485 - x506 - x527
      - x548 - x569 - x590 - x611 - x632 + x637 - x653 - x674 - x695 - x716
      - x737 - x757 = 0;

e38:  - x339 - x360 - x381 - x402 - x423 - x444 - x465 - x486 - x507 - x528
      - x549 - x570 - x591 - x612 - x633 - x654 + x658 - x675 - x696 - x717
      - x738 - x758 = 0;

e39:  - x340 - x361 - x382 - x403 - x424 - x445 - x466 - x487 - x508 - x529
      - x550 - x571 - x592 - x613 - x634 - x655 - x676 + x679 - x697 - x718
      - x739 - x759 = 0;

e40:  - x341 - x362 - x383 - x404 - x425 - x446 - x467 - x488 - x509 - x530
      - x551 - x572 - x593 - x614 - x635 - x656 - x677 - x698 + x700 - x719
      - x740 - x760 = 0;

e41:  - x342 - x363 - x384 - x405 - x426 - x447 - x468 - x489 - x510 - x531
      - x552 - x573 - x594 - x615 - x636 - x657 - x678 - x699 - x720 + x721
      - x741 - x761 = 0;

e42: x322*x82 - x323*x202 - x324*x208 - x325*x214 - x326*x220 - x327*x226 - 
     x328*x232 - x329*x238 - x330*x244 - x331*x250 - x332*x256 - x333*x262 - 
     x334*x268 - x335*x274 - x336*x280 - x337*x286 - x338*x292 - x339*x298 - 
     x340*x304 - x341*x310 - x342*x316 - 3*x2 - 4*x22 - 4*x62 = 0;

e43: x322*x83 - x323*x203 - x324*x209 - x325*x215 - x326*x221 - x327*x227 - 
     x328*x233 - x329*x239 - x330*x245 - x331*x251 - x332*x257 - x333*x263 - 
     x334*x269 - x335*x275 - x336*x281 - x337*x287 - x338*x293 - x339*x299 - 
     x340*x305 - x341*x311 - x342*x317 - 5*x2 - 6*x22 - 3*x42 - x62 = 0;

e44: x322*x84 - x323*x204 - x324*x210 - x325*x216 - x326*x222 - x327*x228 - 
     x328*x234 - x329*x240 - x330*x246 - x331*x252 - x332*x258 - x333*x264 - 
     x334*x270 - x335*x276 - x336*x282 - x337*x288 - x338*x294 - x339*x300 - 
     x340*x306 - x341*x312 - x342*x318 - 2*x22 - 2*x42 - 2*x62 = 0;

e45: x322*x85 - x323*x205 - x324*x211 - x325*x217 - x326*x223 - x327*x229 - 
     x328*x235 - x329*x241 - x330*x247 - x331*x253 - x332*x259 - x333*x265 - 
     x334*x271 - x335*x277 - x336*x283 - x337*x289 - x338*x295 - x339*x301 - 
     x340*x307 - x341*x313 - x342*x319 - 8*x2 - 7*x42 - 3*x62 = 0;

e46: x322*x86 - x323*x206 - x324*x212 - x325*x218 - x326*x224 - x327*x230 - 
     x328*x236 - x329*x242 - x330*x248 - x331*x254 - x332*x260 - x333*x266 - 
     x334*x272 - x335*x278 - x336*x284 - x337*x290 - x338*x296 - x339*x302 - 
     x340*x308 - x341*x314 - x342*x320 - 2*x22 - 2*x62 = 0;

e47: x322*x87 - x323*x207 - x324*x213 - x325*x219 - x326*x225 - x327*x231 - 
     x328*x237 - x329*x243 - x330*x249 - x331*x255 - x332*x261 - x333*x267 - 
     x334*x273 - x335*x279 - x336*x285 - x337*x291 - x338*x297 - x339*x303 - 
     x340*x309 - x341*x315 - x342*x321 - 4*x2 - 2*x42 - 8*x62 = 0;

e48: x343*x88 - x344*x202 - x345*x208 - x346*x214 - x347*x220 - x348*x226 - 
     x349*x232 - x350*x238 - x351*x244 - x352*x250 - x353*x256 - x354*x262 - 
     x355*x268 - x356*x274 - x357*x280 - x358*x286 - x359*x292 - x360*x298 - 
     x361*x304 - x362*x310 - x363*x316 - 3*x3 - 4*x23 - 4*x63 = 0;

e49: x343*x89 - x344*x203 - x345*x209 - x346*x215 - x347*x221 - x348*x227 - 
     x349*x233 - x350*x239 - x351*x245 - x352*x251 - x353*x257 - x354*x263 - 
     x355*x269 - x356*x275 - x357*x281 - x358*x287 - x359*x293 - x360*x299 - 
     x361*x305 - x362*x311 - x363*x317 - 5*x3 - 6*x23 - 3*x43 - x63 = 0;

e50: x343*x90 - x344*x204 - x345*x210 - x346*x216 - x347*x222 - x348*x228 - 
     x349*x234 - x350*x240 - x351*x246 - x352*x252 - x353*x258 - x354*x264 - 
     x355*x270 - x356*x276 - x357*x282 - x358*x288 - x359*x294 - x360*x300 - 
     x361*x306 - x362*x312 - x363*x318 - 2*x23 - 2*x43 - 2*x63 = 0;

e51: x343*x91 - x344*x205 - x345*x211 - x346*x217 - x347*x223 - x348*x229 - 
     x349*x235 - x350*x241 - x351*x247 - x352*x253 - x353*x259 - x354*x265 - 
     x355*x271 - x356*x277 - x357*x283 - x358*x289 - x359*x295 - x360*x301 - 
     x361*x307 - x362*x313 - x363*x319 - 8*x3 - 7*x43 - 3*x63 = 0;

e52: x343*x92 - x344*x206 - x345*x212 - x346*x218 - x347*x224 - x348*x230 - 
     x349*x236 - x350*x242 - x351*x248 - x352*x254 - x353*x260 - x354*x266 - 
     x355*x272 - x356*x278 - x357*x284 - x358*x290 - x359*x296 - x360*x302 - 
     x361*x308 - x362*x314 - x363*x320 - 2*x23 - 2*x63 = 0;

e53: x343*x93 - x344*x207 - x345*x213 - x346*x219 - x347*x225 - x348*x231 - 
     x349*x237 - x350*x243 - x351*x249 - x352*x255 - x353*x261 - x354*x267 - 
     x355*x273 - x356*x279 - x357*x285 - x358*x291 - x359*x297 - x360*x303 - 
     x361*x309 - x362*x315 - x363*x321 - 4*x3 - 2*x43 - 8*x63 = 0;

e54: x364*x94 - x365*x202 - x366*x208 - x367*x214 - x368*x220 - x369*x226 - 
     x370*x232 - x371*x238 - x372*x244 - x373*x250 - x374*x256 - x375*x262 - 
     x376*x268 - x377*x274 - x378*x280 - x379*x286 - x380*x292 - x381*x298 - 
     x382*x304 - x383*x310 - x384*x316 - 3*x4 - 4*x24 - 4*x64 = 0;

e55: x364*x95 - x365*x203 - x366*x209 - x367*x215 - x368*x221 - x369*x227 - 
     x370*x233 - x371*x239 - x372*x245 - x373*x251 - x374*x257 - x375*x263 - 
     x376*x269 - x377*x275 - x378*x281 - x379*x287 - x380*x293 - x381*x299 - 
     x382*x305 - x383*x311 - x384*x317 - 5*x4 - 6*x24 - 3*x44 - x64 = 0;

e56: x364*x96 - x365*x204 - x366*x210 - x367*x216 - x368*x222 - x369*x228 - 
     x370*x234 - x371*x240 - x372*x246 - x373*x252 - x374*x258 - x375*x264 - 
     x376*x270 - x377*x276 - x378*x282 - x379*x288 - x380*x294 - x381*x300 - 
     x382*x306 - x383*x312 - x384*x318 - 2*x24 - 2*x44 - 2*x64 = 0;

e57: x364*x97 - x365*x205 - x366*x211 - x367*x217 - x368*x223 - x369*x229 - 
     x370*x235 - x371*x241 - x372*x247 - x373*x253 - x374*x259 - x375*x265 - 
     x376*x271 - x377*x277 - x378*x283 - x379*x289 - x380*x295 - x381*x301 - 
     x382*x307 - x383*x313 - x384*x319 - 8*x4 - 7*x44 - 3*x64 = 0;

e58: x364*x98 - x365*x206 - x366*x212 - x367*x218 - x368*x224 - x369*x230 - 
     x370*x236 - x371*x242 - x372*x248 - x373*x254 - x374*x260 - x375*x266 - 
     x376*x272 - x377*x278 - x378*x284 - x379*x290 - x380*x296 - x381*x302 - 
     x382*x308 - x383*x314 - x384*x320 - 2*x24 - 2*x64 = 0;

e59: x364*x99 - x365*x207 - x366*x213 - x367*x219 - x368*x225 - x369*x231 - 
     x370*x237 - x371*x243 - x372*x249 - x373*x255 - x374*x261 - x375*x267 - 
     x376*x273 - x377*x279 - x378*x285 - x379*x291 - x380*x297 - x381*x303 - 
     x382*x309 - x383*x315 - x384*x321 - 4*x4 - 2*x44 - 8*x64 = 0;

e60: x385*x100 - x386*x202 - x387*x208 - x388*x214 - x389*x220 - x390*x226 - 
     x391*x232 - x392*x238 - x393*x244 - x394*x250 - x395*x256 - x396*x262 - 
     x397*x268 - x398*x274 - x399*x280 - x400*x286 - x401*x292 - x402*x298 - 
     x403*x304 - x404*x310 - x405*x316 - 3*x5 - 4*x25 - 4*x65 = 0;

e61: x385*x101 - x386*x203 - x387*x209 - x388*x215 - x389*x221 - x390*x227 - 
     x391*x233 - x392*x239 - x393*x245 - x394*x251 - x395*x257 - x396*x263 - 
     x397*x269 - x398*x275 - x399*x281 - x400*x287 - x401*x293 - x402*x299 - 
     x403*x305 - x404*x311 - x405*x317 - 5*x5 - 6*x25 - 3*x45 - x65 = 0;

e62: x385*x102 - x386*x204 - x387*x210 - x388*x216 - x389*x222 - x390*x228 - 
     x391*x234 - x392*x240 - x393*x246 - x394*x252 - x395*x258 - x396*x264 - 
     x397*x270 - x398*x276 - x399*x282 - x400*x288 - x401*x294 - x402*x300 - 
     x403*x306 - x404*x312 - x405*x318 - 2*x25 - 2*x45 - 2*x65 = 0;

e63: x385*x103 - x386*x205 - x387*x211 - x388*x217 - x389*x223 - x390*x229 - 
     x391*x235 - x392*x241 - x393*x247 - x394*x253 - x395*x259 - x396*x265 - 
     x397*x271 - x398*x277 - x399*x283 - x400*x289 - x401*x295 - x402*x301 - 
     x403*x307 - x404*x313 - x405*x319 - 8*x5 - 7*x45 - 3*x65 = 0;

e64: x385*x104 - x386*x206 - x387*x212 - x388*x218 - x389*x224 - x390*x230 - 
     x391*x236 - x392*x242 - x393*x248 - x394*x254 - x395*x260 - x396*x266 - 
     x397*x272 - x398*x278 - x399*x284 - x400*x290 - x401*x296 - x402*x302 - 
     x403*x308 - x404*x314 - x405*x320 - 2*x25 - 2*x65 = 0;

e65: x385*x105 - x386*x207 - x387*x213 - x388*x219 - x389*x225 - x390*x231 - 
     x391*x237 - x392*x243 - x393*x249 - x394*x255 - x395*x261 - x396*x267 - 
     x397*x273 - x398*x279 - x399*x285 - x400*x291 - x401*x297 - x402*x303 - 
     x403*x309 - x404*x315 - x405*x321 - 4*x5 - 2*x45 - 8*x65 = 0;

e66: x406*x106 - x407*x202 - x408*x208 - x409*x214 - x410*x220 - x411*x226 - 
     x412*x232 - x413*x238 - x414*x244 - x415*x250 - x416*x256 - x417*x262 - 
     x418*x268 - x419*x274 - x420*x280 - x421*x286 - x422*x292 - x423*x298 - 
     x424*x304 - x425*x310 - x426*x316 - 3*x6 - 4*x26 - 4*x66 = 0;

e67: x406*x107 - x407*x203 - x408*x209 - x409*x215 - x410*x221 - x411*x227 - 
     x412*x233 - x413*x239 - x414*x245 - x415*x251 - x416*x257 - x417*x263 - 
     x418*x269 - x419*x275 - x420*x281 - x421*x287 - x422*x293 - x423*x299 - 
     x424*x305 - x425*x311 - x426*x317 - 5*x6 - 6*x26 - 3*x46 - x66 = 0;

e68: x406*x108 - x407*x204 - x408*x210 - x409*x216 - x410*x222 - x411*x228 - 
     x412*x234 - x413*x240 - x414*x246 - x415*x252 - x416*x258 - x417*x264 - 
     x418*x270 - x419*x276 - x420*x282 - x421*x288 - x422*x294 - x423*x300 - 
     x424*x306 - x425*x312 - x426*x318 - 2*x26 - 2*x46 - 2*x66 = 0;

e69: x406*x109 - x407*x205 - x408*x211 - x409*x217 - x410*x223 - x411*x229 - 
     x412*x235 - x413*x241 - x414*x247 - x415*x253 - x416*x259 - x417*x265 - 
     x418*x271 - x419*x277 - x420*x283 - x421*x289 - x422*x295 - x423*x301 - 
     x424*x307 - x425*x313 - x426*x319 - 8*x6 - 7*x46 - 3*x66 = 0;

e70: x406*x110 - x407*x206 - x408*x212 - x409*x218 - x410*x224 - x411*x230 - 
     x412*x236 - x413*x242 - x414*x248 - x415*x254 - x416*x260 - x417*x266 - 
     x418*x272 - x419*x278 - x420*x284 - x421*x290 - x422*x296 - x423*x302 - 
     x424*x308 - x425*x314 - x426*x320 - 2*x26 - 2*x66 = 0;

e71: x406*x111 - x407*x207 - x408*x213 - x409*x219 - x410*x225 - x411*x231 - 
     x412*x237 - x413*x243 - x414*x249 - x415*x255 - x416*x261 - x417*x267 - 
     x418*x273 - x419*x279 - x420*x285 - x421*x291 - x422*x297 - x423*x303 - 
     x424*x309 - x425*x315 - x426*x321 - 4*x6 - 2*x46 - 8*x66 = 0;

e72: x427*x112 - x428*x202 - x429*x208 - x430*x214 - x431*x220 - x432*x226 - 
     x433*x232 - x434*x238 - x435*x244 - x436*x250 - x437*x256 - x438*x262 - 
     x439*x268 - x440*x274 - x441*x280 - x442*x286 - x443*x292 - x444*x298 - 
     x445*x304 - x446*x310 - x447*x316 - 3*x7 - 4*x27 - 4*x67 = 0;

e73: x427*x113 - x428*x203 - x429*x209 - x430*x215 - x431*x221 - x432*x227 - 
     x433*x233 - x434*x239 - x435*x245 - x436*x251 - x437*x257 - x438*x263 - 
     x439*x269 - x440*x275 - x441*x281 - x442*x287 - x443*x293 - x444*x299 - 
     x445*x305 - x446*x311 - x447*x317 - 5*x7 - 6*x27 - 3*x47 - x67 = 0;

e74: x427*x114 - x428*x204 - x429*x210 - x430*x216 - x431*x222 - x432*x228 - 
     x433*x234 - x434*x240 - x435*x246 - x436*x252 - x437*x258 - x438*x264 - 
     x439*x270 - x440*x276 - x441*x282 - x442*x288 - x443*x294 - x444*x300 - 
     x445*x306 - x446*x312 - x447*x318 - 2*x27 - 2*x47 - 2*x67 = 0;

e75: x427*x115 - x428*x205 - x429*x211 - x430*x217 - x431*x223 - x432*x229 - 
     x433*x235 - x434*x241 - x435*x247 - x436*x253 - x437*x259 - x438*x265 - 
     x439*x271 - x440*x277 - x441*x283 - x442*x289 - x443*x295 - x444*x301 - 
     x445*x307 - x446*x313 - x447*x319 - 8*x7 - 7*x47 - 3*x67 = 0;

e76: x427*x116 - x428*x206 - x429*x212 - x430*x218 - x431*x224 - x432*x230 - 
     x433*x236 - x434*x242 - x435*x248 - x436*x254 - x437*x260 - x438*x266 - 
     x439*x272 - x440*x278 - x441*x284 - x442*x290 - x443*x296 - x444*x302 - 
     x445*x308 - x446*x314 - x447*x320 - 2*x27 - 2*x67 = 0;

e77: x427*x117 - x428*x207 - x429*x213 - x430*x219 - x431*x225 - x432*x231 - 
     x433*x237 - x434*x243 - x435*x249 - x436*x255 - x437*x261 - x438*x267 - 
     x439*x273 - x440*x279 - x441*x285 - x442*x291 - x443*x297 - x444*x303 - 
     x445*x309 - x446*x315 - x447*x321 - 4*x7 - 2*x47 - 8*x67 = 0;

e78: x448*x118 - x449*x202 - x450*x208 - x451*x214 - x452*x220 - x453*x226 - 
     x454*x232 - x455*x238 - x456*x244 - x457*x250 - x458*x256 - x459*x262 - 
     x460*x268 - x461*x274 - x462*x280 - x463*x286 - x464*x292 - x465*x298 - 
     x466*x304 - x467*x310 - x468*x316 - 3*x8 - 4*x28 - 4*x68 = 0;

e79: x448*x119 - x449*x203 - x450*x209 - x451*x215 - x452*x221 - x453*x227 - 
     x454*x233 - x455*x239 - x456*x245 - x457*x251 - x458*x257 - x459*x263 - 
     x460*x269 - x461*x275 - x462*x281 - x463*x287 - x464*x293 - x465*x299 - 
     x466*x305 - x467*x311 - x468*x317 - 5*x8 - 6*x28 - 3*x48 - x68 = 0;

e80: x448*x120 - x449*x204 - x450*x210 - x451*x216 - x452*x222 - x453*x228 - 
     x454*x234 - x455*x240 - x456*x246 - x457*x252 - x458*x258 - x459*x264 - 
     x460*x270 - x461*x276 - x462*x282 - x463*x288 - x464*x294 - x465*x300 - 
     x466*x306 - x467*x312 - x468*x318 - 2*x28 - 2*x48 - 2*x68 = 0;

e81: x448*x121 - x449*x205 - x450*x211 - x451*x217 - x452*x223 - x453*x229 - 
     x454*x235 - x455*x241 - x456*x247 - x457*x253 - x458*x259 - x459*x265 - 
     x460*x271 - x461*x277 - x462*x283 - x463*x289 - x464*x295 - x465*x301 - 
     x466*x307 - x467*x313 - x468*x319 - 8*x8 - 7*x48 - 3*x68 = 0;

e82: x448*x122 - x449*x206 - x450*x212 - x451*x218 - x452*x224 - x453*x230 - 
     x454*x236 - x455*x242 - x456*x248 - x457*x254 - x458*x260 - x459*x266 - 
     x460*x272 - x461*x278 - x462*x284 - x463*x290 - x464*x296 - x465*x302 - 
     x466*x308 - x467*x314 - x468*x320 - 2*x28 - 2*x68 = 0;

e83: x448*x123 - x449*x207 - x450*x213 - x451*x219 - x452*x225 - x453*x231 - 
     x454*x237 - x455*x243 - x456*x249 - x457*x255 - x458*x261 - x459*x267 - 
     x460*x273 - x461*x279 - x462*x285 - x463*x291 - x464*x297 - x465*x303 - 
     x466*x309 - x467*x315 - x468*x321 - 4*x8 - 2*x48 - 8*x68 = 0;

e84: x469*x124 - x470*x202 - x471*x208 - x472*x214 - x473*x220 - x474*x226 - 
     x475*x232 - x476*x238 - x477*x244 - x478*x250 - x479*x256 - x480*x262 - 
     x481*x268 - x482*x274 - x483*x280 - x484*x286 - x485*x292 - x486*x298 - 
     x487*x304 - x488*x310 - x489*x316 - 3*x9 - 4*x29 - 4*x69 = 0;

e85: x469*x125 - x470*x203 - x471*x209 - x472*x215 - x473*x221 - x474*x227 - 
     x475*x233 - x476*x239 - x477*x245 - x478*x251 - x479*x257 - x480*x263 - 
     x481*x269 - x482*x275 - x483*x281 - x484*x287 - x485*x293 - x486*x299 - 
     x487*x305 - x488*x311 - x489*x317 - 5*x9 - 6*x29 - 3*x49 - x69 = 0;

e86: x469*x126 - x470*x204 - x471*x210 - x472*x216 - x473*x222 - x474*x228 - 
     x475*x234 - x476*x240 - x477*x246 - x478*x252 - x479*x258 - x480*x264 - 
     x481*x270 - x482*x276 - x483*x282 - x484*x288 - x485*x294 - x486*x300 - 
     x487*x306 - x488*x312 - x489*x318 - 2*x29 - 2*x49 - 2*x69 = 0;

e87: x469*x127 - x470*x205 - x471*x211 - x472*x217 - x473*x223 - x474*x229 - 
     x475*x235 - x476*x241 - x477*x247 - x478*x253 - x479*x259 - x480*x265 - 
     x481*x271 - x482*x277 - x483*x283 - x484*x289 - x485*x295 - x486*x301 - 
     x487*x307 - x488*x313 - x489*x319 - 8*x9 - 7*x49 - 3*x69 = 0;

e88: x469*x128 - x470*x206 - x471*x212 - x472*x218 - x473*x224 - x474*x230 - 
     x475*x236 - x476*x242 - x477*x248 - x478*x254 - x479*x260 - x480*x266 - 
     x481*x272 - x482*x278 - x483*x284 - x484*x290 - x485*x296 - x486*x302 - 
     x487*x308 - x488*x314 - x489*x320 - 2*x29 - 2*x69 = 0;

e89: x469*x129 - x470*x207 - x471*x213 - x472*x219 - x473*x225 - x474*x231 - 
     x475*x237 - x476*x243 - x477*x249 - x478*x255 - x479*x261 - x480*x267 - 
     x481*x273 - x482*x279 - x483*x285 - x484*x291 - x485*x297 - x486*x303 - 
     x487*x309 - x488*x315 - x489*x321 - 4*x9 - 2*x49 - 8*x69 = 0;

e90: x490*x130 - x491*x202 - x492*x208 - x493*x214 - x494*x220 - x495*x226 - 
     x496*x232 - x497*x238 - x498*x244 - x499*x250 - x500*x256 - x501*x262 - 
     x502*x268 - x503*x274 - x504*x280 - x505*x286 - x506*x292 - x507*x298 - 
     x508*x304 - x509*x310 - x510*x316 - 3*x10 - 4*x30 - 4*x70 = 0;

e91: x490*x131 - x491*x203 - x492*x209 - x493*x215 - x494*x221 - x495*x227 - 
     x496*x233 - x497*x239 - x498*x245 - x499*x251 - x500*x257 - x501*x263 - 
     x502*x269 - x503*x275 - x504*x281 - x505*x287 - x506*x293 - x507*x299 - 
     x508*x305 - x509*x311 - x510*x317 - 5*x10 - 6*x30 - 3*x50 - x70 = 0;

e92: x490*x132 - x491*x204 - x492*x210 - x493*x216 - x494*x222 - x495*x228 - 
     x496*x234 - x497*x240 - x498*x246 - x499*x252 - x500*x258 - x501*x264 - 
     x502*x270 - x503*x276 - x504*x282 - x505*x288 - x506*x294 - x507*x300 - 
     x508*x306 - x509*x312 - x510*x318 - 2*x30 - 2*x50 - 2*x70 = 0;

e93: x490*x133 - x491*x205 - x492*x211 - x493*x217 - x494*x223 - x495*x229 - 
     x496*x235 - x497*x241 - x498*x247 - x499*x253 - x500*x259 - x501*x265 - 
     x502*x271 - x503*x277 - x504*x283 - x505*x289 - x506*x295 - x507*x301 - 
     x508*x307 - x509*x313 - x510*x319 - 8*x10 - 7*x50 - 3*x70 = 0;

e94: x490*x134 - x491*x206 - x492*x212 - x493*x218 - x494*x224 - x495*x230 - 
     x496*x236 - x497*x242 - x498*x248 - x499*x254 - x500*x260 - x501*x266 - 
     x502*x272 - x503*x278 - x504*x284 - x505*x290 - x506*x296 - x507*x302 - 
     x508*x308 - x509*x314 - x510*x320 - 2*x30 - 2*x70 = 0;

e95: x490*x135 - x491*x207 - x492*x213 - x493*x219 - x494*x225 - x495*x231 - 
     x496*x237 - x497*x243 - x498*x249 - x499*x255 - x500*x261 - x501*x267 - 
     x502*x273 - x503*x279 - x504*x285 - x505*x291 - x506*x297 - x507*x303 - 
     x508*x309 - x509*x315 - x510*x321 - 4*x10 - 2*x50 - 8*x70 = 0;

e96: x511*x136 - x512*x202 - x513*x208 - x514*x214 - x515*x220 - x516*x226 - 
     x517*x232 - x518*x238 - x519*x244 - x520*x250 - x521*x256 - x522*x262 - 
     x523*x268 - x524*x274 - x525*x280 - x526*x286 - x527*x292 - x528*x298 - 
     x529*x304 - x530*x310 - x531*x316 - 3*x11 - 4*x31 - 4*x71 = 0;

e97: x511*x137 - x512*x203 - x513*x209 - x514*x215 - x515*x221 - x516*x227 - 
     x517*x233 - x518*x239 - x519*x245 - x520*x251 - x521*x257 - x522*x263 - 
     x523*x269 - x524*x275 - x525*x281 - x526*x287 - x527*x293 - x528*x299 - 
     x529*x305 - x530*x311 - x531*x317 - 5*x11 - 6*x31 - 3*x51 - x71 = 0;

e98: x511*x138 - x512*x204 - x513*x210 - x514*x216 - x515*x222 - x516*x228 - 
     x517*x234 - x518*x240 - x519*x246 - x520*x252 - x521*x258 - x522*x264 - 
     x523*x270 - x524*x276 - x525*x282 - x526*x288 - x527*x294 - x528*x300 - 
     x529*x306 - x530*x312 - x531*x318 - 2*x31 - 2*x51 - 2*x71 = 0;

e99: x511*x139 - x512*x205 - x513*x211 - x514*x217 - x515*x223 - x516*x229 - 
     x517*x235 - x518*x241 - x519*x247 - x520*x253 - x521*x259 - x522*x265 - 
     x523*x271 - x524*x277 - x525*x283 - x526*x289 - x527*x295 - x528*x301 - 
     x529*x307 - x530*x313 - x531*x319 - 8*x11 - 7*x51 - 3*x71 = 0;

e100: x511*x140 - x512*x206 - x513*x212 - x514*x218 - x515*x224 - x516*x230 - 
      x517*x236 - x518*x242 - x519*x248 - x520*x254 - x521*x260 - x522*x266 - 
      x523*x272 - x524*x278 - x525*x284 - x526*x290 - x527*x296 - x528*x302 - 
      x529*x308 - x530*x314 - x531*x320 - 2*x31 - 2*x71 = 0;

e101: x511*x141 - x512*x207 - x513*x213 - x514*x219 - x515*x225 - x516*x231 - 
      x517*x237 - x518*x243 - x519*x249 - x520*x255 - x521*x261 - x522*x267 - 
      x523*x273 - x524*x279 - x525*x285 - x526*x291 - x527*x297 - x528*x303 - 
      x529*x309 - x530*x315 - x531*x321 - 4*x11 - 2*x51 - 8*x71 = 0;

e102: x532*x142 - x533*x202 - x534*x208 - x535*x214 - x536*x220 - x537*x226 - 
      x538*x232 - x539*x238 - x540*x244 - x541*x250 - x542*x256 - x543*x262 - 
      x544*x268 - x545*x274 - x546*x280 - x547*x286 - x548*x292 - x549*x298 - 
      x550*x304 - x551*x310 - x552*x316 - 3*x12 - 4*x32 - 4*x72 = 0;

e103: x532*x143 - x533*x203 - x534*x209 - x535*x215 - x536*x221 - x537*x227 - 
      x538*x233 - x539*x239 - x540*x245 - x541*x251 - x542*x257 - x543*x263 - 
      x544*x269 - x545*x275 - x546*x281 - x547*x287 - x548*x293 - x549*x299 - 
      x550*x305 - x551*x311 - x552*x317 - 5*x12 - 6*x32 - 3*x52 - x72 = 0;

e104: x532*x144 - x533*x204 - x534*x210 - x535*x216 - x536*x222 - x537*x228 - 
      x538*x234 - x539*x240 - x540*x246 - x541*x252 - x542*x258 - x543*x264 - 
      x544*x270 - x545*x276 - x546*x282 - x547*x288 - x548*x294 - x549*x300 - 
      x550*x306 - x551*x312 - x552*x318 - 2*x32 - 2*x52 - 2*x72 = 0;

e105: x532*x145 - x533*x205 - x534*x211 - x535*x217 - x536*x223 - x537*x229 - 
      x538*x235 - x539*x241 - x540*x247 - x541*x253 - x542*x259 - x543*x265 - 
      x544*x271 - x545*x277 - x546*x283 - x547*x289 - x548*x295 - x549*x301 - 
      x550*x307 - x551*x313 - x552*x319 - 8*x12 - 7*x52 - 3*x72 = 0;

e106: x532*x146 - x533*x206 - x534*x212 - x535*x218 - x536*x224 - x537*x230 - 
      x538*x236 - x539*x242 - x540*x248 - x541*x254 - x542*x260 - x543*x266 - 
      x544*x272 - x545*x278 - x546*x284 - x547*x290 - x548*x296 - x549*x302 - 
      x550*x308 - x551*x314 - x552*x320 - 2*x32 - 2*x72 = 0;

e107: x532*x147 - x533*x207 - x534*x213 - x535*x219 - x536*x225 - x537*x231 - 
      x538*x237 - x539*x243 - x540*x249 - x541*x255 - x542*x261 - x543*x267 - 
      x544*x273 - x545*x279 - x546*x285 - x547*x291 - x548*x297 - x549*x303 - 
      x550*x309 - x551*x315 - x552*x321 - 4*x12 - 2*x52 - 8*x72 = 0;

e108: x553*x148 - x554*x202 - x555*x208 - x556*x214 - x557*x220 - x558*x226 - 
      x559*x232 - x560*x238 - x561*x244 - x562*x250 - x563*x256 - x564*x262 - 
      x565*x268 - x566*x274 - x567*x280 - x568*x286 - x569*x292 - x570*x298 - 
      x571*x304 - x572*x310 - x573*x316 - 3*x13 - 4*x33 - 4*x73 = 0;

e109: x553*x149 - x554*x203 - x555*x209 - x556*x215 - x557*x221 - x558*x227 - 
      x559*x233 - x560*x239 - x561*x245 - x562*x251 - x563*x257 - x564*x263 - 
      x565*x269 - x566*x275 - x567*x281 - x568*x287 - x569*x293 - x570*x299 - 
      x571*x305 - x572*x311 - x573*x317 - 5*x13 - 6*x33 - 3*x53 - x73 = 0;

e110: x553*x150 - x554*x204 - x555*x210 - x556*x216 - x557*x222 - x558*x228 - 
      x559*x234 - x560*x240 - x561*x246 - x562*x252 - x563*x258 - x564*x264 - 
      x565*x270 - x566*x276 - x567*x282 - x568*x288 - x569*x294 - x570*x300 - 
      x571*x306 - x572*x312 - x573*x318 - 2*x33 - 2*x53 - 2*x73 = 0;

e111: x553*x151 - x554*x205 - x555*x211 - x556*x217 - x557*x223 - x558*x229 - 
      x559*x235 - x560*x241 - x561*x247 - x562*x253 - x563*x259 - x564*x265 - 
      x565*x271 - x566*x277 - x567*x283 - x568*x289 - x569*x295 - x570*x301 - 
      x571*x307 - x572*x313 - x573*x319 - 8*x13 - 7*x53 - 3*x73 = 0;

e112: x553*x152 - x554*x206 - x555*x212 - x556*x218 - x557*x224 - x558*x230 - 
      x559*x236 - x560*x242 - x561*x248 - x562*x254 - x563*x260 - x564*x266 - 
      x565*x272 - x566*x278 - x567*x284 - x568*x290 - x569*x296 - x570*x302 - 
      x571*x308 - x572*x314 - x573*x320 - 2*x33 - 2*x73 = 0;

e113: x553*x153 - x554*x207 - x555*x213 - x556*x219 - x557*x225 - x558*x231 - 
      x559*x237 - x560*x243 - x561*x249 - x562*x255 - x563*x261 - x564*x267 - 
      x565*x273 - x566*x279 - x567*x285 - x568*x291 - x569*x297 - x570*x303 - 
      x571*x309 - x572*x315 - x573*x321 - 4*x13 - 2*x53 - 8*x73 = 0;

e114: x574*x154 - x575*x202 - x576*x208 - x577*x214 - x578*x220 - x579*x226 - 
      x580*x232 - x581*x238 - x582*x244 - x583*x250 - x584*x256 - x585*x262 - 
      x586*x268 - x587*x274 - x588*x280 - x589*x286 - x590*x292 - x591*x298 - 
      x592*x304 - x593*x310 - x594*x316 - 3*x14 - 4*x34 - 4*x74 = 0;

e115: x574*x155 - x575*x203 - x576*x209 - x577*x215 - x578*x221 - x579*x227 - 
      x580*x233 - x581*x239 - x582*x245 - x583*x251 - x584*x257 - x585*x263 - 
      x586*x269 - x587*x275 - x588*x281 - x589*x287 - x590*x293 - x591*x299 - 
      x592*x305 - x593*x311 - x594*x317 - 5*x14 - 6*x34 - 3*x54 - x74 = 0;

e116: x574*x156 - x575*x204 - x576*x210 - x577*x216 - x578*x222 - x579*x228 - 
      x580*x234 - x581*x240 - x582*x246 - x583*x252 - x584*x258 - x585*x264 - 
      x586*x270 - x587*x276 - x588*x282 - x589*x288 - x590*x294 - x591*x300 - 
      x592*x306 - x593*x312 - x594*x318 - 2*x34 - 2*x54 - 2*x74 = 0;

e117: x574*x157 - x575*x205 - x576*x211 - x577*x217 - x578*x223 - x579*x229 - 
      x580*x235 - x581*x241 - x582*x247 - x583*x253 - x584*x259 - x585*x265 - 
      x586*x271 - x587*x277 - x588*x283 - x589*x289 - x590*x295 - x591*x301 - 
      x592*x307 - x593*x313 - x594*x319 - 8*x14 - 7*x54 - 3*x74 = 0;

e118: x574*x158 - x575*x206 - x576*x212 - x577*x218 - x578*x224 - x579*x230 - 
      x580*x236 - x581*x242 - x582*x248 - x583*x254 - x584*x260 - x585*x266 - 
      x586*x272 - x587*x278 - x588*x284 - x589*x290 - x590*x296 - x591*x302 - 
      x592*x308 - x593*x314 - x594*x320 - 2*x34 - 2*x74 = 0;

e119: x574*x159 - x575*x207 - x576*x213 - x577*x219 - x578*x225 - x579*x231 - 
      x580*x237 - x581*x243 - x582*x249 - x583*x255 - x584*x261 - x585*x267 - 
      x586*x273 - x587*x279 - x588*x285 - x589*x291 - x590*x297 - x591*x303 - 
      x592*x309 - x593*x315 - x594*x321 - 4*x14 - 2*x54 - 8*x74 = 0;

e120: x595*x160 - x596*x202 - x597*x208 - x598*x214 - x599*x220 - x600*x226 - 
      x601*x232 - x602*x238 - x603*x244 - x604*x250 - x605*x256 - x606*x262 - 
      x607*x268 - x608*x274 - x609*x280 - x610*x286 - x611*x292 - x612*x298 - 
      x613*x304 - x614*x310 - x615*x316 - 3*x15 - 4*x35 - 4*x75 = 0;

e121: x595*x161 - x596*x203 - x597*x209 - x598*x215 - x599*x221 - x600*x227 - 
      x601*x233 - x602*x239 - x603*x245 - x604*x251 - x605*x257 - x606*x263 - 
      x607*x269 - x608*x275 - x609*x281 - x610*x287 - x611*x293 - x612*x299 - 
      x613*x305 - x614*x311 - x615*x317 - 5*x15 - 6*x35 - 3*x55 - x75 = 0;

e122: x595*x162 - x596*x204 - x597*x210 - x598*x216 - x599*x222 - x600*x228 - 
      x601*x234 - x602*x240 - x603*x246 - x604*x252 - x605*x258 - x606*x264 - 
      x607*x270 - x608*x276 - x609*x282 - x610*x288 - x611*x294 - x612*x300 - 
      x613*x306 - x614*x312 - x615*x318 - 2*x35 - 2*x55 - 2*x75 = 0;

e123: x595*x163 - x596*x205 - x597*x211 - x598*x217 - x599*x223 - x600*x229 - 
      x601*x235 - x602*x241 - x603*x247 - x604*x253 - x605*x259 - x606*x265 - 
      x607*x271 - x608*x277 - x609*x283 - x610*x289 - x611*x295 - x612*x301 - 
      x613*x307 - x614*x313 - x615*x319 - 8*x15 - 7*x55 - 3*x75 = 0;

e124: x595*x164 - x596*x206 - x597*x212 - x598*x218 - x599*x224 - x600*x230 - 
      x601*x236 - x602*x242 - x603*x248 - x604*x254 - x605*x260 - x606*x266 - 
      x607*x272 - x608*x278 - x609*x284 - x610*x290 - x611*x296 - x612*x302 - 
      x613*x308 - x614*x314 - x615*x320 - 2*x35 - 2*x75 = 0;

e125: x595*x165 - x596*x207 - x597*x213 - x598*x219 - x599*x225 - x600*x231 - 
      x601*x237 - x602*x243 - x603*x249 - x604*x255 - x605*x261 - x606*x267 - 
      x607*x273 - x608*x279 - x609*x285 - x610*x291 - x611*x297 - x612*x303 - 
      x613*x309 - x614*x315 - x615*x321 - 4*x15 - 2*x55 - 8*x75 = 0;

e126: x616*x166 - x617*x202 - x618*x208 - x619*x214 - x620*x220 - x621*x226 - 
      x622*x232 - x623*x238 - x624*x244 - x625*x250 - x626*x256 - x627*x262 - 
      x628*x268 - x629*x274 - x630*x280 - x631*x286 - x632*x292 - x633*x298 - 
      x634*x304 - x635*x310 - x636*x316 - 3*x16 - 4*x36 - 4*x76 = 0;

e127: x616*x167 - x617*x203 - x618*x209 - x619*x215 - x620*x221 - x621*x227 - 
      x622*x233 - x623*x239 - x624*x245 - x625*x251 - x626*x257 - x627*x263 - 
      x628*x269 - x629*x275 - x630*x281 - x631*x287 - x632*x293 - x633*x299 - 
      x634*x305 - x635*x311 - x636*x317 - 5*x16 - 6*x36 - 3*x56 - x76 = 0;

e128: x616*x168 - x617*x204 - x618*x210 - x619*x216 - x620*x222 - x621*x228 - 
      x622*x234 - x623*x240 - x624*x246 - x625*x252 - x626*x258 - x627*x264 - 
      x628*x270 - x629*x276 - x630*x282 - x631*x288 - x632*x294 - x633*x300 - 
      x634*x306 - x635*x312 - x636*x318 - 2*x36 - 2*x56 - 2*x76 = 0;

e129: x616*x169 - x617*x205 - x618*x211 - x619*x217 - x620*x223 - x621*x229 - 
      x622*x235 - x623*x241 - x624*x247 - x625*x253 - x626*x259 - x627*x265 - 
      x628*x271 - x629*x277 - x630*x283 - x631*x289 - x632*x295 - x633*x301 - 
      x634*x307 - x635*x313 - x636*x319 - 8*x16 - 7*x56 - 3*x76 = 0;

e130: x616*x170 - x617*x206 - x618*x212 - x619*x218 - x620*x224 - x621*x230 - 
      x622*x236 - x623*x242 - x624*x248 - x625*x254 - x626*x260 - x627*x266 - 
      x628*x272 - x629*x278 - x630*x284 - x631*x290 - x632*x296 - x633*x302 - 
      x634*x308 - x635*x314 - x636*x320 - 2*x36 - 2*x76 = 0;

e131: x616*x171 - x617*x207 - x618*x213 - x619*x219 - x620*x225 - x621*x231 - 
      x622*x237 - x623*x243 - x624*x249 - x625*x255 - x626*x261 - x627*x267 - 
      x628*x273 - x629*x279 - x630*x285 - x631*x291 - x632*x297 - x633*x303 - 
      x634*x309 - x635*x315 - x636*x321 - 4*x16 - 2*x56 - 8*x76 = 0;

e132: x637*x172 - x638*x202 - x639*x208 - x640*x214 - x641*x220 - x642*x226 - 
      x643*x232 - x644*x238 - x645*x244 - x646*x250 - x647*x256 - x648*x262 - 
      x649*x268 - x650*x274 - x651*x280 - x652*x286 - x653*x292 - x654*x298 - 
      x655*x304 - x656*x310 - x657*x316 - 3*x17 - 4*x37 - 4*x77 = 0;

e133: x637*x173 - x638*x203 - x639*x209 - x640*x215 - x641*x221 - x642*x227 - 
      x643*x233 - x644*x239 - x645*x245 - x646*x251 - x647*x257 - x648*x263 - 
      x649*x269 - x650*x275 - x651*x281 - x652*x287 - x653*x293 - x654*x299 - 
      x655*x305 - x656*x311 - x657*x317 - 5*x17 - 6*x37 - 3*x57 - x77 = 0;

e134: x637*x174 - x638*x204 - x639*x210 - x640*x216 - x641*x222 - x642*x228 - 
      x643*x234 - x644*x240 - x645*x246 - x646*x252 - x647*x258 - x648*x264 - 
      x649*x270 - x650*x276 - x651*x282 - x652*x288 - x653*x294 - x654*x300 - 
      x655*x306 - x656*x312 - x657*x318 - 2*x37 - 2*x57 - 2*x77 = 0;

e135: x637*x175 - x638*x205 - x639*x211 - x640*x217 - x641*x223 - x642*x229 - 
      x643*x235 - x644*x241 - x645*x247 - x646*x253 - x647*x259 - x648*x265 - 
      x649*x271 - x650*x277 - x651*x283 - x652*x289 - x653*x295 - x654*x301 - 
      x655*x307 - x656*x313 - x657*x319 - 8*x17 - 7*x57 - 3*x77 = 0;

e136: x637*x176 - x638*x206 - x639*x212 - x640*x218 - x641*x224 - x642*x230 - 
      x643*x236 - x644*x242 - x645*x248 - x646*x254 - x647*x260 - x648*x266 - 
      x649*x272 - x650*x278 - x651*x284 - x652*x290 - x653*x296 - x654*x302 - 
      x655*x308 - x656*x314 - x657*x320 - 2*x37 - 2*x77 = 0;

e137: x637*x177 - x638*x207 - x639*x213 - x640*x219 - x641*x225 - x642*x231 - 
      x643*x237 - x644*x243 - x645*x249 - x646*x255 - x647*x261 - x648*x267 - 
      x649*x273 - x650*x279 - x651*x285 - x652*x291 - x653*x297 - x654*x303 - 
      x655*x309 - x656*x315 - x657*x321 - 4*x17 - 2*x57 - 8*x77 = 0;

e138: x658*x178 - x659*x202 - x660*x208 - x661*x214 - x662*x220 - x663*x226 - 
      x664*x232 - x665*x238 - x666*x244 - x667*x250 - x668*x256 - x669*x262 - 
      x670*x268 - x671*x274 - x672*x280 - x673*x286 - x674*x292 - x675*x298 - 
      x676*x304 - x677*x310 - x678*x316 - 3*x18 - 4*x38 - 4*x78 = 0;

e139: x658*x179 - x659*x203 - x660*x209 - x661*x215 - x662*x221 - x663*x227 - 
      x664*x233 - x665*x239 - x666*x245 - x667*x251 - x668*x257 - x669*x263 - 
      x670*x269 - x671*x275 - x672*x281 - x673*x287 - x674*x293 - x675*x299 - 
      x676*x305 - x677*x311 - x678*x317 - 5*x18 - 6*x38 - 3*x58 - x78 = 0;

e140: x658*x180 - x659*x204 - x660*x210 - x661*x216 - x662*x222 - x663*x228 - 
      x664*x234 - x665*x240 - x666*x246 - x667*x252 - x668*x258 - x669*x264 - 
      x670*x270 - x671*x276 - x672*x282 - x673*x288 - x674*x294 - x675*x300 - 
      x676*x306 - x677*x312 - x678*x318 - 2*x38 - 2*x58 - 2*x78 = 0;

e141: x658*x181 - x659*x205 - x660*x211 - x661*x217 - x662*x223 - x663*x229 - 
      x664*x235 - x665*x241 - x666*x247 - x667*x253 - x668*x259 - x669*x265 - 
      x670*x271 - x671*x277 - x672*x283 - x673*x289 - x674*x295 - x675*x301 - 
      x676*x307 - x677*x313 - x678*x319 - 8*x18 - 7*x58 - 3*x78 = 0;

e142: x658*x182 - x659*x206 - x660*x212 - x661*x218 - x662*x224 - x663*x230 - 
      x664*x236 - x665*x242 - x666*x248 - x667*x254 - x668*x260 - x669*x266 - 
      x670*x272 - x671*x278 - x672*x284 - x673*x290 - x674*x296 - x675*x302 - 
      x676*x308 - x677*x314 - x678*x320 - 2*x38 - 2*x78 = 0;

e143: x658*x183 - x659*x207 - x660*x213 - x661*x219 - x662*x225 - x663*x231 - 
      x664*x237 - x665*x243 - x666*x249 - x667*x255 - x668*x261 - x669*x267 - 
      x670*x273 - x671*x279 - x672*x285 - x673*x291 - x674*x297 - x675*x303 - 
      x676*x309 - x677*x315 - x678*x321 - 4*x18 - 2*x58 - 8*x78 = 0;

e144: x679*x184 - x680*x202 - x681*x208 - x682*x214 - x683*x220 - x684*x226 - 
      x685*x232 - x686*x238 - x687*x244 - x688*x250 - x689*x256 - x690*x262 - 
      x691*x268 - x692*x274 - x693*x280 - x694*x286 - x695*x292 - x696*x298 - 
      x697*x304 - x698*x310 - x699*x316 - 3*x19 - 4*x39 - 4*x79 = 0;

e145: x679*x185 - x680*x203 - x681*x209 - x682*x215 - x683*x221 - x684*x227 - 
      x685*x233 - x686*x239 - x687*x245 - x688*x251 - x689*x257 - x690*x263 - 
      x691*x269 - x692*x275 - x693*x281 - x694*x287 - x695*x293 - x696*x299 - 
      x697*x305 - x698*x311 - x699*x317 - 5*x19 - 6*x39 - 3*x59 - x79 = 0;

e146: x679*x186 - x680*x204 - x681*x210 - x682*x216 - x683*x222 - x684*x228 - 
      x685*x234 - x686*x240 - x687*x246 - x688*x252 - x689*x258 - x690*x264 - 
      x691*x270 - x692*x276 - x693*x282 - x694*x288 - x695*x294 - x696*x300 - 
      x697*x306 - x698*x312 - x699*x318 - 2*x39 - 2*x59 - 2*x79 = 0;

e147: x679*x187 - x680*x205 - x681*x211 - x682*x217 - x683*x223 - x684*x229 - 
      x685*x235 - x686*x241 - x687*x247 - x688*x253 - x689*x259 - x690*x265 - 
      x691*x271 - x692*x277 - x693*x283 - x694*x289 - x695*x295 - x696*x301 - 
      x697*x307 - x698*x313 - x699*x319 - 8*x19 - 7*x59 - 3*x79 = 0;

e148: x679*x188 - x680*x206 - x681*x212 - x682*x218 - x683*x224 - x684*x230 - 
      x685*x236 - x686*x242 - x687*x248 - x688*x254 - x689*x260 - x690*x266 - 
      x691*x272 - x692*x278 - x693*x284 - x694*x290 - x695*x296 - x696*x302 - 
      x697*x308 - x698*x314 - x699*x320 - 2*x39 - 2*x79 = 0;

e149: x679*x189 - x680*x207 - x681*x213 - x682*x219 - x683*x225 - x684*x231 - 
      x685*x237 - x686*x243 - x687*x249 - x688*x255 - x689*x261 - x690*x267 - 
      x691*x273 - x692*x279 - x693*x285 - x694*x291 - x695*x297 - x696*x303 - 
      x697*x309 - x698*x315 - x699*x321 - 4*x19 - 2*x59 - 8*x79 = 0;

e150: x700*x190 - x701*x202 - x702*x208 - x703*x214 - x704*x220 - x705*x226 - 
      x706*x232 - x707*x238 - x708*x244 - x709*x250 - x710*x256 - x711*x262 - 
      x712*x268 - x713*x274 - x714*x280 - x715*x286 - x716*x292 - x717*x298 - 
      x718*x304 - x719*x310 - x720*x316 - 3*x20 - 4*x40 - 4*x80 = 0;

e151: x700*x191 - x701*x203 - x702*x209 - x703*x215 - x704*x221 - x705*x227 - 
      x706*x233 - x707*x239 - x708*x245 - x709*x251 - x710*x257 - x711*x263 - 
      x712*x269 - x713*x275 - x714*x281 - x715*x287 - x716*x293 - x717*x299 - 
      x718*x305 - x719*x311 - x720*x317 - 5*x20 - 6*x40 - 3*x60 - x80 = 0;

e152: x700*x192 - x701*x204 - x702*x210 - x703*x216 - x704*x222 - x705*x228 - 
      x706*x234 - x707*x240 - x708*x246 - x709*x252 - x710*x258 - x711*x264 - 
      x712*x270 - x713*x276 - x714*x282 - x715*x288 - x716*x294 - x717*x300 - 
      x718*x306 - x719*x312 - x720*x318 - 2*x40 - 2*x60 - 2*x80 = 0;

e153: x700*x193 - x701*x205 - x702*x211 - x703*x217 - x704*x223 - x705*x229 - 
      x706*x235 - x707*x241 - x708*x247 - x709*x253 - x710*x259 - x711*x265 - 
      x712*x271 - x713*x277 - x714*x283 - x715*x289 - x716*x295 - x717*x301 - 
      x718*x307 - x719*x313 - x720*x319 - 8*x20 - 7*x60 - 3*x80 = 0;

e154: x700*x194 - x701*x206 - x702*x212 - x703*x218 - x704*x224 - x705*x230 - 
      x706*x236 - x707*x242 - x708*x248 - x709*x254 - x710*x260 - x711*x266 - 
      x712*x272 - x713*x278 - x714*x284 - x715*x290 - x716*x296 - x717*x302 - 
      x718*x308 - x719*x314 - x720*x320 - 2*x40 - 2*x80 = 0;

e155: x700*x195 - x701*x207 - x702*x213 - x703*x219 - x704*x225 - x705*x231 - 
      x706*x237 - x707*x243 - x708*x249 - x709*x255 - x710*x261 - x711*x267 - 
      x712*x273 - x713*x279 - x714*x285 - x715*x291 - x716*x297 - x717*x303 - 
      x718*x309 - x719*x315 - x720*x321 - 4*x20 - 2*x60 - 8*x80 = 0;

e156: x721*x196 - x722*x202 - x723*x208 - x724*x214 - x725*x220 - x726*x226 - 
      x727*x232 - x728*x238 - x729*x244 - x730*x250 - x731*x256 - x732*x262 - 
      x733*x268 - x734*x274 - x735*x280 - x736*x286 - x737*x292 - x738*x298 - 
      x739*x304 - x740*x310 - x741*x316 - 3*x21 - 4*x41 - 4*x81 = 0;

e157: x721*x197 - x722*x203 - x723*x209 - x724*x215 - x725*x221 - x726*x227 - 
      x727*x233 - x728*x239 - x729*x245 - x730*x251 - x731*x257 - x732*x263 - 
      x733*x269 - x734*x275 - x735*x281 - x736*x287 - x737*x293 - x738*x299 - 
      x739*x305 - x740*x311 - x741*x317 - 5*x21 - 6*x41 - 3*x61 - x81 = 0;

e158: x721*x198 - x722*x204 - x723*x210 - x724*x216 - x725*x222 - x726*x228 - 
      x727*x234 - x728*x240 - x729*x246 - x730*x252 - x731*x258 - x732*x264 - 
      x733*x270 - x734*x276 - x735*x282 - x736*x288 - x737*x294 - x738*x300 - 
      x739*x306 - x740*x312 - x741*x318 - 2*x41 - 2*x61 - 2*x81 = 0;

e159: x721*x199 - x722*x205 - x723*x211 - x724*x217 - x725*x223 - x726*x229 - 
      x727*x235 - x728*x241 - x729*x247 - x730*x253 - x731*x259 - x732*x265 - 
      x733*x271 - x734*x277 - x735*x283 - x736*x289 - x737*x295 - x738*x301 - 
      x739*x307 - x740*x313 - x741*x319 - 8*x21 - 7*x61 - 3*x81 = 0;

e160: x721*x200 - x722*x206 - x723*x212 - x724*x218 - x725*x224 - x726*x230 - 
      x727*x236 - x728*x242 - x729*x248 - x730*x254 - x731*x260 - x732*x266 - 
      x733*x272 - x734*x278 - x735*x284 - x736*x290 - x737*x296 - x738*x302 - 
      x739*x308 - x740*x314 - x741*x320 - 2*x41 - 2*x81 = 0;

e161: x721*x201 - x722*x207 - x723*x213 - x724*x219 - x725*x225 - x726*x231 - 
      x727*x237 - x728*x243 - x729*x249 - x730*x255 - x731*x261 - x732*x267 - 
      x733*x273 - x734*x279 - x735*x285 - x736*x291 - x737*x297 - x738*x303 - 
      x739*x309 - x740*x315 - x741*x321 - 4*x21 - 2*x61 - 8*x81 = 0;

e162: x322*x82 - x322*x202 = -3196;

e163: x322*x83 - x322*x203 = -11832;

e164: x322*x84 - x322*x204 = -8364;

e165: x322*x85 - x322*x205 = -136;

e166: x322*x86 - x322*x206 = -5712;

e167: x322*x87 - x322*x207 = -3400;

e168: x343*x88 - x343*x208 = -9250;

e169: x343*x89 - x343*x209 = -7030;

e170: x343*x90 - x343*x210 = -4070;

e171: x343*x91 - x343*x211 = -184556;

e172: x343*x92 - x343*x212 = -1924;

e173: x343*x93 - x343*x213 = -7252;

e174: x364*x94 - x364*x214 = -10080;

e175: x364*x95 - x364*x215 = -4914;

e176: x364*x96 - x364*x216 = -46242;

e177: x364*x97 - x364*x217 = -5418;

e178: x364*x98 - x364*x218 = -16506;

e179: x364*x99 - x364*x219 = -4284;

e180: x385*x100 - x385*x220 = -2376;

e181: x385*x101 - x385*x221 = -30096;

e182: x385*x102 - x385*x222 = -26840;

e183: x385*x103 - x385*x223 = -35904;

e184: x385*x104 - x385*x224 = -11880;

e185: x385*x105 - x385*x225 = -18568;

e186: x406*x106 - x406*x226 = -50000;

e187: x406*x107 - x406*x227 = -351200;

e188: x406*x108 - x406*x228 = -14000;

e189: x406*x109 - x406*x229 = -3500;

e190: x406*x110 - x406*x230 = -15800;

e191: x406*x111 - x406*x231 = -7800;

e192: x427*x112 - x427*x232 = -4400;

e193: x427*x113 - x427*x233 = -5500;

e194: x427*x114 - x427*x234 = -8250;

e195: x427*x115 - x427*x235 = -3300;

e196: x427*x116 - x427*x236 = -4400;

e197: x427*x117 - x427*x237 = -3300;

e198: x448*x118 - x448*x238 = -2300;

e199: x448*x119 - x448*x239 = -3800;

e200: x448*x120 - x448*x240 = -4100;

e201: x448*x122 - x448*x242 = -20000;

e202: x448*x123 - x448*x243 = -12600;

e203: x469*x124 - x469*x244 = -1300;

e204: x469*x125 - x469*x245 = -2600;

e205: x469*x126 - x469*x246 = -1820;

e206: x469*x127 - x469*x247 = -260000;

e207: x469*x128 - x469*x248 = -2600;

e208: x469*x129 - x469*x249 = -8944;

e209: x490*x130 - x490*x250 = -19600;

e210: x490*x131 - x490*x251 = -29400;

e211: x490*x132 - x490*x252 = -19600;

e212: x490*x133 - x490*x253 = -2646;

e213: x490*x134 - x490*x254 = -12740;

e214: x490*x135 - x490*x255 = -66248;

e215: x511*x136 - x511*x256 = -34500;

e216: x511*x137 - x511*x257 = -4025;

e217: x511*x138 - x511*x258 = -9775;

e218: x511*x139 - x511*x259 = -3450;

e219: x511*x140 - x511*x260 = -62790;

e220: x511*x141 - x511*x261 = -62560;

e221: x532*x142 - x532*x262 = -120250;

e222: x532*x143 - x532*x263 = -11470;

e223: x532*x144 - x532*x264 = -18500;

e224: x532*x145 - x532*x265 = -7215;

e225: x532*x146 - x532*x266 = -74000;

e226: x532*x147 - x532*x267 = -7030;

e227: x553*x148 - x553*x268 = -9500;

e228: x553*x149 - x553*x269 = -9500;

e229: x553*x150 - x553*x270 = -28500;

e230: x553*x151 - x553*x271 = -8075;

e231: x553*x152 - x553*x272 = -9500;

e232: x553*x153 - x553*x273 = -5225;

e233: x574*x154 - x574*x274 = -50000;

e234: x574*x155 - x574*x275 = -351200;

e235: x574*x156 - x574*x276 = -14000;

e236: x574*x157 - x574*x277 = -3500;

e237: x574*x158 - x574*x278 = -15800;

e238: x574*x159 - x574*x279 = -7800;

e239: x595*x160 - x595*x280 = -27600;

e240: x595*x161 - x595*x281 = -34500;

e241: x595*x162 - x595*x282 = -51750;

e242: x595*x163 - x595*x283 = -20700;

e243: x595*x164 - x595*x284 = -27600;

e244: x595*x165 - x595*x285 = -20700;

e245: x616*x166 - x616*x286 = -2300;

e246: x616*x167 - x616*x287 = -3800;

e247: x616*x168 - x616*x288 = -4100;

e248: x616*x170 - x616*x290 = -20000;

e249: x616*x171 - x616*x291 = -12600;

e250: x637*x172 - x637*x292 = -9250;

e251: x637*x173 - x637*x293 = -18500;

e252: x637*x174 - x637*x294 = -12950;

e253: x637*x175 - x637*x295 = -1850000;

e254: x637*x176 - x637*x296 = -18500;

e255: x637*x177 - x637*x297 = -63640;

e256: x658*x178 - x658*x298 = -19000;

e257: x658*x179 - x658*x299 = -28500;

e258: x658*x180 - x658*x300 = -19000;

e259: x658*x181 - x658*x301 = -2565;

e260: x658*x182 - x658*x302 = -12350;

e261: x658*x183 - x658*x303 = -64220;

e262: x679*x184 - x679*x304 = -30000;

e263: x679*x185 - x679*x305 = -3500;

e264: x679*x186 - x679*x306 = -8500;

e265: x679*x187 - x679*x307 = -3000;

e266: x679*x188 - x679*x308 = -54600;

e267: x679*x189 - x679*x309 = -54400;

e268: x700*x190 - x700*x310 = -224250;

e269: x700*x191 - x700*x311 = -21390;

e270: x700*x192 - x700*x312 = -34500;

e271: x700*x193 - x700*x313 = -13455;

e272: x700*x194 - x700*x314 = -138000;

e273: x700*x195 - x700*x315 = -13110;

e274: x721*x196 - x721*x316 = -10000;

e275: x721*x197 - x721*x317 = -10000;

e276: x721*x198 - x721*x318 = -30000;

e277: x721*x199 - x721*x319 = -8500;

e278: x721*x200 - x721*x320 = -10000;

e279: x721*x201 - x721*x321 = -5500;

e280: x448*x121 - x448*x241 = 0;

e281: x616*x169 - x616*x289 = 0;