#  QCP written by GAMS Convert at 02/15/18 15:46:52
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#        201      201        0        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        661      661        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#       4821     1221     3600        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x2 >= 0, <= 100000;
var x3 >= 0, <= 100000;
var x4 >= 0, <= 100000;
var x5 >= 0, <= 100000;
var x6 >= 0, <= 100000;
var x7 >= 0, <= 100000;
var x8 >= 0, <= 100000;
var x9 >= 0, <= 100000;
var x10 >= 0, <= 100000;
var x11 >= 0, <= 100000;
var x12 >= 0, <= 100000;
var x13 >= 0, <= 100000;
var x14 >= 0, <= 100000;
var x15 >= 0, <= 100000;
var x16 >= 0, <= 100000;
var x17 >= 0, <= 100000;
var x18 >= 0, <= 100000;
var x19 >= 0, <= 100000;
var x20 >= 0, <= 100000;
var x21 >= 0, <= 100000;
var x22 >= 0, <= 100000;
var x23 >= 0, <= 100000;
var x24 >= 0, <= 100000;
var x25 >= 0, <= 100000;
var x26 >= 0, <= 100000;
var x27 >= 0, <= 100000;
var x28 >= 0, <= 100000;
var x29 >= 0, <= 100000;
var x30 >= 0, <= 100000;
var x31 >= 0, <= 100000;
var x32 >= 0, <= 100000;
var x33 >= 0, <= 100000;
var x34 >= 0, <= 100000;
var x35 >= 0, <= 100000;
var x36 >= 0, <= 100000;
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var x38 >= 0, <= 100000;
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var x40 >= 0, <= 100000;
var x41 >= 0, <= 100000;
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var x52 >= 0, <= 100000;
var x53 >= 0, <= 100000;
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var x55 >= 0, <= 100000;
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var x57 >= 0, <= 100000;
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var x59 >= 0, <= 100000;
var x60 >= 0, <= 100000;
var x61 >= 0, <= 100000;
var x62 >= 0, <= 2250;
var x63 >= 0, <= 575;
var x64 >= 0, <= 203;
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var x66 >= 0, <= 298;
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var x73 >= 0, <= 862;
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var x76 >= 0, <= 327;
var x77 >= 0, <= 341;
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var x80 >= 0, <= 2105;
var x81 >= 0, <= 1092;
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var x83 >= 0, <= 301;
var x84 >= 0, <= 139;
var x85 >= 0, <= 1354;
var x86 >= 0, <= 58;
var x87 >= 0, <= 2025;
var x88 >= 0, <= 511;
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var x91 >= 0, <= 538;
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var x93 >= 0, <= 225;
var x94 >= 0, <= 427;
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var x96 >= 0, <= 1759;
var x97 >= 0, <= 482;
var x98 >= 0, <= 2086;
var x99 >= 0, <= 1863;
var x100 >= 0, <= 2195;
var x101 >= 0, <= 396;
var x102 >= 0, <= 2012;
var x103 >= 0, <= 994;
var x104 >= 0, <= 1923;
var x105 >= 0, <= 2076;
var x106 >= 0, <= 647;
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var x110 >= 0, <= 1898;
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var x120 >= 0, <= 413;
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var x123 >= 0, <= 639;
var x124 >= 0, <= 2078;
var x125 >= 0, <= 249;
var x126 >= 0, <= 363;
var x127 >= 0, <= 223;
var x128 >= 0, <= 307;
var x129 >= 0, <= 93;
var x130 >= 0, <= 31;
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var x133 >= 0, <= 251;
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var x148 >= 0, <= 935;
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var x150 >= 0, <= 2730;
var x151 >= 0, <= 1823;
var x152 >= 0, <= 2960;
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var x155 >= 0, <= 2616;
var x156 >= 0, <= 2706;
var x157 >= 0, <= 2563;
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var x159 >= 0, <= 2722;
var x160 >= 0, <= 2904;
var x161 >= 0, <= 2952;
var x162 >= 0, <= 1855;
var x163 >= 0, <= 869;
var x164 >= 0, <= 1360;
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var x166 >= 0, <= 1216;
var x167 >= 0, <= 2222;
var x168 >= 0, <= 1225;
var x169 >= 0, <= 2815;
var x170 >= 0, <= 2185;
var x171 >= 0, <= 1836;
var x172 >= 0, <= 1425;
var x173 >= 0, <= 2821;
var x174 >= 0, <= 2704;
var x175 >= 0, <= 2282;
var x176 >= 0, <= 2753;
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var x192 >= 0, <= 1911;
var x193 >= 0, <= 2001;
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var x213 >= 0, <= 535;
var x214 >= 0, <= 923;
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var x220 >= 0, <= 636;
var x221 >= 0, <= 508;
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var x243 >= 0, <= 74;
var x244 >= 0, <= 100000;
var x245 >= 0, <= 100000;
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var x327 >= 0, <= 55;
var x328 >= 0, <= 100000;
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var x330 >= 0, <= 100000;
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var x348 >= 0, <= 50;
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var x471 >= 0, <= 100000;
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var x530 >= 0, <= 100000;
var x531 >= 0, <= 100000;
var x532 >= 0, <= 100000;
var x533 >= 0, <= 100000;
var x534 >= 0, <= 100000;
var x535 >= 0, <= 100000;
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var x539 >= 0, <= 100000;
var x540 >= 0, <= 100000;
var x541 >= 0, <= 100000;
var x542 >= 0, <= 100000;
var x543 >= 0, <= 100000;
var x544 >= 0, <= 100000;
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var x570 >= 0, <= 100000;
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var x573 >= 0, <= 100000;
var x574 >= 0, <= 100000;
var x575 >= 0, <= 100000;
var x576 >= 0, <= 100000;
var x577 >= 0, <= 100000;
var x578 >= 0, <= 100000;
var x579 >= 0, <= 100;
var x580 >= 0, <= 100000;
var x581 >= 0, <= 100000;
var x582 >= 0, <= 100000;
var x583 >= 0, <= 100000;
var x584 >= 0, <= 100000;
var x585 >= 0, <= 100000;
var x586 >= 0, <= 100000;
var x587 >= 0, <= 100000;
var x588 >= 0, <= 100000;
var x589 >= 0, <= 100000;
var x590 >= 0, <= 100000;
var x591 >= 0, <= 100000;
var x592 >= 0, <= 100000;
var x593 >= 0, <= 100000;
var x594 >= 0, <= 100000;
var x595 >= 0, <= 100000;
var x596 >= 0, <= 100000;
var x597 >= 0, <= 100000;
var x598 >= 0, <= 100000;
var x599 >= 0, <= 100000;
var x600 >= 0, <= 120;
var x601 >= 0, <= 100000;
var x602 >= 0, <= 100000;
var x603 >= 0, <= 100000;
var x604 >= 0, <= 100000;
var x605 >= 0, <= 100000;
var x606 >= 0, <= 100000;
var x607 >= 0, <= 100000;
var x608 >= 0, <= 100000;
var x609 >= 0, <= 100000;
var x610 >= 0, <= 100000;
var x611 >= 0, <= 100000;
var x612 >= 0, <= 100000;
var x613 >= 0, <= 100000;
var x614 >= 0, <= 100000;
var x615 >= 0, <= 100000;
var x616 >= 0, <= 100000;
var x617 >= 0, <= 100000;
var x618 >= 0, <= 100000;
var x619 >= 0, <= 100000;
var x620 >= 0, <= 100000;
var x621 >= 0, <= 70;
var x622 >= 0, <= 100000;
var x623 >= 0, <= 100000;
var x624 >= 0, <= 100000;
var x625 >= 0, <= 100000;
var x626 >= 0, <= 100000;
var x627 >= 0, <= 100000;
var x628 >= 0, <= 100000;
var x629 >= 0, <= 100000;
var x630 >= 0, <= 100000;
var x631 >= 0, <= 100000;
var x632 >= 0, <= 100000;
var x633 >= 0, <= 100000;
var x634 >= 0, <= 100000;
var x635 >= 0, <= 100000;
var x636 >= 0, <= 100000;
var x637 >= 0, <= 100000;
var x638 >= 0, <= 100000;
var x639 >= 0, <= 100000;
var x640 >= 0, <= 100000;
var x641 >= 0, <= 100000;
var x642 >= 0, <= 100000;
var x643 >= 0, <= 100000;
var x644 >= 0, <= 100000;
var x645 >= 0, <= 100000;
var x646 >= 0, <= 100000;
var x647 >= 0, <= 100000;
var x648 >= 0, <= 100000;
var x649 >= 0, <= 100000;
var x650 >= 0, <= 100000;
var x651 >= 0, <= 100000;
var x652 >= 0, <= 100000;
var x653 >= 0, <= 100000;
var x654 >= 0, <= 100000;
var x655 >= 0, <= 100000;
var x656 >= 0, <= 100000;
var x657 >= 0, <= 100000;
var x658 >= 0, <= 100000;
var x659 >= 0, <= 100000;
var x660 >= 0, <= 100000;
var x661 >= 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;

subject to

e2:  - x2 - x22 - x42 + x222 - x223 - x224 - x225 - x226 - x227 - x228 - x229
     - x230 - x231 - x232 - x233 - x234 - x235 - x236 - x237 - x238 - x239
     - x240 - x241 - x242 = 0;

e3:  - x3 - x23 - x43 + x243 - x244 - x245 - x246 - x247 - x248 - x249 - x250
     - x251 - x252 - x253 - x254 - x255 - x256 - x257 - x258 - x259 - x260
     - x261 - x262 - x263 = 0;

e4:  - x4 - x24 - x44 + x264 - x265 - x266 - x267 - x268 - x269 - x270 - x271
     - x272 - x273 - x274 - x275 - x276 - x277 - x278 - x279 - x280 - x281
     - x282 - x283 - x284 = 0;

e5:  - x5 - x25 - x45 + x285 - x286 - x287 - x288 - x289 - x290 - x291 - x292
     - x293 - x294 - x295 - x296 - x297 - x298 - x299 - x300 - x301 - x302
     - x303 - x304 - x305 = 0;

e6:  - x6 - x26 - x46 + x306 - x307 - x308 - x309 - x310 - x311 - x312 - x313
     - x314 - x315 - x316 - x317 - x318 - x319 - x320 - x321 - x322 - x323
     - x324 - x325 - x326 = 0;

e7:  - x7 - x27 - x47 + x327 - x328 - x329 - x330 - x331 - x332 - x333 - x334
     - x335 - x336 - x337 - x338 - x339 - x340 - x341 - x342 - x343 - x344
     - x345 - x346 - x347 = 0;

e8:  - x8 - x28 - x48 + x348 - x349 - x350 - x351 - x352 - x353 - x354 - x355
     - x356 - x357 - x358 - x359 - x360 - x361 - x362 - x363 - x364 - x365
     - x366 - x367 - x368 = 0;

e9:  - x9 - x29 - x49 + x369 - x370 - x371 - x372 - x373 - x374 - x375 - x376
     - x377 - x378 - x379 - x380 - x381 - x382 - x383 - x384 - x385 - x386
     - x387 - x388 - x389 = 0;

e10:  - x10 - x30 - x50 + x390 - x391 - x392 - x393 - x394 - x395 - x396 - x397
      - x398 - x399 - x400 - x401 - x402 - x403 - x404 - x405 - x406 - x407
      - x408 - x409 - x410 = 0;

e11:  - x11 - x31 - x51 + x411 - x412 - x413 - x414 - x415 - x416 - x417 - x418
      - x419 - x420 - x421 - x422 - x423 - x424 - x425 - x426 - x427 - x428
      - x429 - x430 - x431 = 0;

e12:  - x12 - x32 - x52 + x432 - x433 - x434 - x435 - x436 - x437 - x438 - x439
      - x440 - x441 - x442 - x443 - x444 - x445 - x446 - x447 - x448 - x449
      - x450 - x451 - x452 = 0;

e13:  - x13 - x33 - x53 + x453 - x454 - x455 - x456 - x457 - x458 - x459 - x460
      - x461 - x462 - x463 - x464 - x465 - x466 - x467 - x468 - x469 - x470
      - x471 - x472 - x473 = 0;

e14:  - x14 - x34 - x54 + x474 - x475 - x476 - x477 - x478 - x479 - x480 - x481
      - x482 - x483 - x484 - x485 - x486 - x487 - x488 - x489 - x490 - x491
      - x492 - x493 - x494 = 0;

e15:  - x15 - x35 - x55 + x495 - x496 - x497 - x498 - x499 - x500 - x501 - x502
      - x503 - x504 - x505 - x506 - x507 - x508 - x509 - x510 - x511 - x512
      - x513 - x514 - x515 = 0;

e16:  - x16 - x36 - x56 + x516 - x517 - x518 - x519 - x520 - x521 - x522 - x523
      - x524 - x525 - x526 - x527 - x528 - x529 - x530 - x531 - x532 - x533
      - x534 - x535 - x536 = 0;

e17:  - x17 - x37 - x57 + x537 - x538 - x539 - x540 - x541 - x542 - x543 - x544
      - x545 - x546 - x547 - x548 - x549 - x550 - x551 - x552 - x553 - x554
      - x555 - x556 - x557 = 0;

e18:  - x18 - x38 - x58 + x558 - x559 - x560 - x561 - x562 - x563 - x564 - x565
      - x566 - x567 - x568 - x569 - x570 - x571 - x572 - x573 - x574 - x575
      - x576 - x577 - x578 = 0;

e19:  - x19 - x39 - x59 + x579 - x580 - x581 - x582 - x583 - x584 - x585 - x586
      - x587 - x588 - x589 - x590 - x591 - x592 - x593 - x594 - x595 - x596
      - x597 - x598 - x599 = 0;

e20:  - x20 - x40 - x60 + x600 - x601 - x602 - x603 - x604 - x605 - x606 - x607
      - x608 - x609 - x610 - x611 - x612 - x613 - x614 - x615 - x616 - x617
      - x618 - x619 - x620 = 0;

e21:  - x21 - x41 - x61 + x621 - x622 - x623 - x624 - x625 - x626 - x627 - x628
      - x629 - x630 - x631 - x632 - x633 - x634 - x635 - x636 - x637 - x638
      - x639 - x640 - x641 = 0;

e22:    x222 - x223 - x244 - x265 - x286 - x307 - x328 - x349 - x370 - x391
      - x412 - x433 - x454 - x475 - x496 - x517 - x538 - x559 - x580 - x601
      - x622 - x642 = 0;

e23:  - x224 + x243 - x245 - x266 - x287 - x308 - x329 - x350 - x371 - x392
      - x413 - x434 - x455 - x476 - x497 - x518 - x539 - x560 - x581 - x602
      - x623 - x643 = 0;

e24:  - x225 - x246 + x264 - x267 - x288 - x309 - x330 - x351 - x372 - x393
      - x414 - x435 - x456 - x477 - x498 - x519 - x540 - x561 - x582 - x603
      - x624 - x644 = 0;

e25:  - x226 - x247 - x268 + x285 - x289 - x310 - x331 - x352 - x373 - x394
      - x415 - x436 - x457 - x478 - x499 - x520 - x541 - x562 - x583 - x604
      - x625 - x645 = 0;

e26:  - x227 - x248 - x269 - x290 + x306 - x311 - x332 - x353 - x374 - x395
      - x416 - x437 - x458 - x479 - x500 - x521 - x542 - x563 - x584 - x605
      - x626 - x646 = 0;

e27:  - x228 - x249 - x270 - x291 - x312 + x327 - x333 - x354 - x375 - x396
      - x417 - x438 - x459 - x480 - x501 - x522 - x543 - x564 - x585 - x606
      - x627 - x647 = 0;

e28:  - x229 - x250 - x271 - x292 - x313 - x334 + x348 - x355 - x376 - x397
      - x418 - x439 - x460 - x481 - x502 - x523 - x544 - x565 - x586 - x607
      - x628 - x648 = 0;

e29:  - x230 - x251 - x272 - x293 - x314 - x335 - x356 + x369 - x377 - x398
      - x419 - x440 - x461 - x482 - x503 - x524 - x545 - x566 - x587 - x608
      - x629 - x649 = 0;

e30:  - x231 - x252 - x273 - x294 - x315 - x336 - x357 - x378 + x390 - x399
      - x420 - x441 - x462 - x483 - x504 - x525 - x546 - x567 - x588 - x609
      - x630 - x650 = 0;

e31:  - x232 - x253 - x274 - x295 - x316 - x337 - x358 - x379 - x400 + x411
      - x421 - x442 - x463 - x484 - x505 - x526 - x547 - x568 - x589 - x610
      - x631 - x651 = 0;

e32:  - x233 - x254 - x275 - x296 - x317 - x338 - x359 - x380 - x401 - x422
      + x432 - x443 - x464 - x485 - x506 - x527 - x548 - x569 - x590 - x611
      - x632 - x652 = 0;

e33:  - x234 - x255 - x276 - x297 - x318 - x339 - x360 - x381 - x402 - x423
      - x444 + x453 - x465 - x486 - x507 - x528 - x549 - x570 - x591 - x612
      - x633 - x653 = 0;

e34:  - x235 - x256 - x277 - x298 - x319 - x340 - x361 - x382 - x403 - x424
      - x445 - x466 + x474 - x487 - x508 - x529 - x550 - x571 - x592 - x613
      - x634 - x654 = 0;

e35:  - x236 - x257 - x278 - x299 - x320 - x341 - x362 - x383 - x404 - x425
      - x446 - x467 - x488 + x495 - x509 - x530 - x551 - x572 - x593 - x614
      - x635 - x655 = 0;

e36:  - x237 - x258 - x279 - x300 - x321 - x342 - x363 - x384 - x405 - x426
      - x447 - x468 - x489 - x510 + x516 - x531 - x552 - x573 - x594 - x615
      - x636 - x656 = 0;

e37:  - x238 - x259 - x280 - x301 - x322 - x343 - x364 - x385 - x406 - x427
      - x448 - x469 - x490 - x511 - x532 + x537 - x553 - x574 - x595 - x616
      - x637 - x657 = 0;

e38:  - x239 - x260 - x281 - x302 - x323 - x344 - x365 - x386 - x407 - x428
      - x449 - x470 - x491 - x512 - x533 - x554 + x558 - x575 - x596 - x617
      - x638 - x658 = 0;

e39:  - x240 - x261 - x282 - x303 - x324 - x345 - x366 - x387 - x408 - x429
      - x450 - x471 - x492 - x513 - x534 - x555 - x576 + x579 - x597 - x618
      - x639 - x659 = 0;

e40:  - x241 - x262 - x283 - x304 - x325 - x346 - x367 - x388 - x409 - x430
      - x451 - x472 - x493 - x514 - x535 - x556 - x577 - x598 + x600 - x619
      - x640 - x660 = 0;

e41:  - x242 - x263 - x284 - x305 - x326 - x347 - x368 - x389 - x410 - x431
      - x452 - x473 - x494 - x515 - x536 - x557 - x578 - x599 - x620 + x621
      - x641 - x661 = 0;

e42: x222*x62 - x223*x142 - x224*x146 - x225*x150 - x226*x154 - x227*x158 - 
     x228*x162 - x229*x166 - x230*x170 - x231*x174 - x232*x178 - x233*x182 - 
     x234*x186 - x235*x190 - x236*x194 - x237*x198 - x238*x202 - x239*x206 - 
     x240*x210 - x241*x214 - x242*x218 - 2*x2 - 7*x22 - 7*x42 = 0;

e43: x222*x63 - x223*x143 - x224*x147 - x225*x151 - x226*x155 - x227*x159 - 
     x228*x163 - x229*x167 - x230*x171 - x231*x175 - x232*x179 - x233*x183 - 
     x234*x187 - x235*x191 - x236*x195 - x237*x199 - x238*x203 - x239*x207 - 
     x240*x211 - x241*x215 - x242*x219 - 9*x2 - 6*x22 - 9*x42 = 0;

e44: x222*x64 - x223*x144 - x224*x148 - x225*x152 - x226*x156 - x227*x160 - 
     x228*x164 - x229*x168 - x230*x172 - x231*x176 - x232*x180 - x233*x184 - 
     x234*x188 - x235*x192 - x236*x196 - x237*x200 - x238*x204 - x239*x208 - 
     x240*x212 - x241*x216 - x242*x220 - 8*x2 - 4*x22 - 7*x42 = 0;

e45: x222*x65 - x223*x145 - x224*x149 - x225*x153 - x226*x157 - x227*x161 - 
     x228*x165 - x229*x169 - x230*x173 - x231*x177 - x232*x181 - x233*x185 - 
     x234*x189 - x235*x193 - x236*x197 - x237*x201 - x238*x205 - x239*x209 - 
     x240*x213 - x241*x217 - x242*x221 - x2 - 6*x22 - x42 = 0;

e46: x243*x66 - x244*x142 - x245*x146 - x246*x150 - x247*x154 - x248*x158 - 
     x249*x162 - x250*x166 - x251*x170 - x252*x174 - x253*x178 - x254*x182 - 
     x255*x186 - x256*x190 - x257*x194 - x258*x198 - x259*x202 - x260*x206 - 
     x261*x210 - x262*x214 - x263*x218 - 2*x3 - 7*x23 - 7*x43 = 0;

e47: x243*x67 - x244*x143 - x245*x147 - x246*x151 - x247*x155 - x248*x159 - 
     x249*x163 - x250*x167 - x251*x171 - x252*x175 - x253*x179 - x254*x183 - 
     x255*x187 - x256*x191 - x257*x195 - x258*x199 - x259*x203 - x260*x207 - 
     x261*x211 - x262*x215 - x263*x219 - 9*x3 - 6*x23 - 9*x43 = 0;

e48: x243*x68 - x244*x144 - x245*x148 - x246*x152 - x247*x156 - x248*x160 - 
     x249*x164 - x250*x168 - x251*x172 - x252*x176 - x253*x180 - x254*x184 - 
     x255*x188 - x256*x192 - x257*x196 - x258*x200 - x259*x204 - x260*x208 - 
     x261*x212 - x262*x216 - x263*x220 - 8*x3 - 4*x23 - 7*x43 = 0;

e49: x243*x69 - x244*x145 - x245*x149 - x246*x153 - x247*x157 - x248*x161 - 
     x249*x165 - x250*x169 - x251*x173 - x252*x177 - x253*x181 - x254*x185 - 
     x255*x189 - x256*x193 - x257*x197 - x258*x201 - x259*x205 - x260*x209 - 
     x261*x213 - x262*x217 - x263*x221 - x3 - 6*x23 - x43 = 0;

e50: x264*x70 - x265*x142 - x266*x146 - x267*x150 - x268*x154 - x269*x158 - 
     x270*x162 - x271*x166 - x272*x170 - x273*x174 - x274*x178 - x275*x182 - 
     x276*x186 - x277*x190 - x278*x194 - x279*x198 - x280*x202 - x281*x206 - 
     x282*x210 - x283*x214 - x284*x218 - 2*x4 - 7*x24 - 7*x44 = 0;

e51: x264*x71 - x265*x143 - x266*x147 - x267*x151 - x268*x155 - x269*x159 - 
     x270*x163 - x271*x167 - x272*x171 - x273*x175 - x274*x179 - x275*x183 - 
     x276*x187 - x277*x191 - x278*x195 - x279*x199 - x280*x203 - x281*x207 - 
     x282*x211 - x283*x215 - x284*x219 - 9*x4 - 6*x24 - 9*x44 = 0;

e52: x264*x72 - x265*x144 - x266*x148 - x267*x152 - x268*x156 - x269*x160 - 
     x270*x164 - x271*x168 - x272*x172 - x273*x176 - x274*x180 - x275*x184 - 
     x276*x188 - x277*x192 - x278*x196 - x279*x200 - x280*x204 - x281*x208 - 
     x282*x212 - x283*x216 - x284*x220 - 8*x4 - 4*x24 - 7*x44 = 0;

e53: x264*x73 - x265*x145 - x266*x149 - x267*x153 - x268*x157 - x269*x161 - 
     x270*x165 - x271*x169 - x272*x173 - x273*x177 - x274*x181 - x275*x185 - 
     x276*x189 - x277*x193 - x278*x197 - x279*x201 - x280*x205 - x281*x209 - 
     x282*x213 - x283*x217 - x284*x221 - x4 - 6*x24 - x44 = 0;

e54: x285*x74 - x286*x142 - x287*x146 - x288*x150 - x289*x154 - x290*x158 - 
     x291*x162 - x292*x166 - x293*x170 - x294*x174 - x295*x178 - x296*x182 - 
     x297*x186 - x298*x190 - x299*x194 - x300*x198 - x301*x202 - x302*x206 - 
     x303*x210 - x304*x214 - x305*x218 - 2*x5 - 7*x25 - 7*x45 = 0;

e55: x285*x75 - x286*x143 - x287*x147 - x288*x151 - x289*x155 - x290*x159 - 
     x291*x163 - x292*x167 - x293*x171 - x294*x175 - x295*x179 - x296*x183 - 
     x297*x187 - x298*x191 - x299*x195 - x300*x199 - x301*x203 - x302*x207 - 
     x303*x211 - x304*x215 - x305*x219 - 9*x5 - 6*x25 - 9*x45 = 0;

e56: x285*x76 - x286*x144 - x287*x148 - x288*x152 - x289*x156 - x290*x160 - 
     x291*x164 - x292*x168 - x293*x172 - x294*x176 - x295*x180 - x296*x184 - 
     x297*x188 - x298*x192 - x299*x196 - x300*x200 - x301*x204 - x302*x208 - 
     x303*x212 - x304*x216 - x305*x220 - 8*x5 - 4*x25 - 7*x45 = 0;

e57: x285*x77 - x286*x145 - x287*x149 - x288*x153 - x289*x157 - x290*x161 - 
     x291*x165 - x292*x169 - x293*x173 - x294*x177 - x295*x181 - x296*x185 - 
     x297*x189 - x298*x193 - x299*x197 - x300*x201 - x301*x205 - x302*x209 - 
     x303*x213 - x304*x217 - x305*x221 - x5 - 6*x25 - x45 = 0;

e58: x306*x78 - x307*x142 - x308*x146 - x309*x150 - x310*x154 - x311*x158 - 
     x312*x162 - x313*x166 - x314*x170 - x315*x174 - x316*x178 - x317*x182 - 
     x318*x186 - x319*x190 - x320*x194 - x321*x198 - x322*x202 - x323*x206 - 
     x324*x210 - x325*x214 - x326*x218 - 2*x6 - 7*x26 - 7*x46 = 0;

e59: x306*x79 - x307*x143 - x308*x147 - x309*x151 - x310*x155 - x311*x159 - 
     x312*x163 - x313*x167 - x314*x171 - x315*x175 - x316*x179 - x317*x183 - 
     x318*x187 - x319*x191 - x320*x195 - x321*x199 - x322*x203 - x323*x207 - 
     x324*x211 - x325*x215 - x326*x219 - 9*x6 - 6*x26 - 9*x46 = 0;

e60: x306*x80 - x307*x144 - x308*x148 - x309*x152 - x310*x156 - x311*x160 - 
     x312*x164 - x313*x168 - x314*x172 - x315*x176 - x316*x180 - x317*x184 - 
     x318*x188 - x319*x192 - x320*x196 - x321*x200 - x322*x204 - x323*x208 - 
     x324*x212 - x325*x216 - x326*x220 - 8*x6 - 4*x26 - 7*x46 = 0;

e61: x306*x81 - x307*x145 - x308*x149 - x309*x153 - x310*x157 - x311*x161 - 
     x312*x165 - x313*x169 - x314*x173 - x315*x177 - x316*x181 - x317*x185 - 
     x318*x189 - x319*x193 - x320*x197 - x321*x201 - x322*x205 - x323*x209 - 
     x324*x213 - x325*x217 - x326*x221 - x6 - 6*x26 - x46 = 0;

e62: x327*x82 - x328*x142 - x329*x146 - x330*x150 - x331*x154 - x332*x158 - 
     x333*x162 - x334*x166 - x335*x170 - x336*x174 - x337*x178 - x338*x182 - 
     x339*x186 - x340*x190 - x341*x194 - x342*x198 - x343*x202 - x344*x206 - 
     x345*x210 - x346*x214 - x347*x218 - 2*x7 - 7*x27 - 7*x47 = 0;

e63: x327*x83 - x328*x143 - x329*x147 - x330*x151 - x331*x155 - x332*x159 - 
     x333*x163 - x334*x167 - x335*x171 - x336*x175 - x337*x179 - x338*x183 - 
     x339*x187 - x340*x191 - x341*x195 - x342*x199 - x343*x203 - x344*x207 - 
     x345*x211 - x346*x215 - x347*x219 - 9*x7 - 6*x27 - 9*x47 = 0;

e64: x327*x84 - x328*x144 - x329*x148 - x330*x152 - x331*x156 - x332*x160 - 
     x333*x164 - x334*x168 - x335*x172 - x336*x176 - x337*x180 - x338*x184 - 
     x339*x188 - x340*x192 - x341*x196 - x342*x200 - x343*x204 - x344*x208 - 
     x345*x212 - x346*x216 - x347*x220 - 8*x7 - 4*x27 - 7*x47 = 0;

e65: x327*x85 - x328*x145 - x329*x149 - x330*x153 - x331*x157 - x332*x161 - 
     x333*x165 - x334*x169 - x335*x173 - x336*x177 - x337*x181 - x338*x185 - 
     x339*x189 - x340*x193 - x341*x197 - x342*x201 - x343*x205 - x344*x209 - 
     x345*x213 - x346*x217 - x347*x221 - x7 - 6*x27 - x47 = 0;

e66: x348*x86 - x349*x142 - x350*x146 - x351*x150 - x352*x154 - x353*x158 - 
     x354*x162 - x355*x166 - x356*x170 - x357*x174 - x358*x178 - x359*x182 - 
     x360*x186 - x361*x190 - x362*x194 - x363*x198 - x364*x202 - x365*x206 - 
     x366*x210 - x367*x214 - x368*x218 - 2*x8 - 7*x28 - 7*x48 = 0;

e67: x348*x87 - x349*x143 - x350*x147 - x351*x151 - x352*x155 - x353*x159 - 
     x354*x163 - x355*x167 - x356*x171 - x357*x175 - x358*x179 - x359*x183 - 
     x360*x187 - x361*x191 - x362*x195 - x363*x199 - x364*x203 - x365*x207 - 
     x366*x211 - x367*x215 - x368*x219 - 9*x8 - 6*x28 - 9*x48 = 0;

e68: x348*x88 - x349*x144 - x350*x148 - x351*x152 - x352*x156 - x353*x160 - 
     x354*x164 - x355*x168 - x356*x172 - x357*x176 - x358*x180 - x359*x184 - 
     x360*x188 - x361*x192 - x362*x196 - x363*x200 - x364*x204 - x365*x208 - 
     x366*x212 - x367*x216 - x368*x220 - 8*x8 - 4*x28 - 7*x48 = 0;

e69: x348*x89 - x349*x145 - x350*x149 - x351*x153 - x352*x157 - x353*x161 - 
     x354*x165 - x355*x169 - x356*x173 - x357*x177 - x358*x181 - x359*x185 - 
     x360*x189 - x361*x193 - x362*x197 - x363*x201 - x364*x205 - x365*x209 - 
     x366*x213 - x367*x217 - x368*x221 - x8 - 6*x28 - x48 = 0;

e70: x369*x90 - x370*x142 - x371*x146 - x372*x150 - x373*x154 - x374*x158 - 
     x375*x162 - x376*x166 - x377*x170 - x378*x174 - x379*x178 - x380*x182 - 
     x381*x186 - x382*x190 - x383*x194 - x384*x198 - x385*x202 - x386*x206 - 
     x387*x210 - x388*x214 - x389*x218 - 2*x9 - 7*x29 - 7*x49 = 0;

e71: x369*x91 - x370*x143 - x371*x147 - x372*x151 - x373*x155 - x374*x159 - 
     x375*x163 - x376*x167 - x377*x171 - x378*x175 - x379*x179 - x380*x183 - 
     x381*x187 - x382*x191 - x383*x195 - x384*x199 - x385*x203 - x386*x207 - 
     x387*x211 - x388*x215 - x389*x219 - 9*x9 - 6*x29 - 9*x49 = 0;

e72: x369*x92 - x370*x144 - x371*x148 - x372*x152 - x373*x156 - x374*x160 - 
     x375*x164 - x376*x168 - x377*x172 - x378*x176 - x379*x180 - x380*x184 - 
     x381*x188 - x382*x192 - x383*x196 - x384*x200 - x385*x204 - x386*x208 - 
     x387*x212 - x388*x216 - x389*x220 - 8*x9 - 4*x29 - 7*x49 = 0;

e73: x369*x93 - x370*x145 - x371*x149 - x372*x153 - x373*x157 - x374*x161 - 
     x375*x165 - x376*x169 - x377*x173 - x378*x177 - x379*x181 - x380*x185 - 
     x381*x189 - x382*x193 - x383*x197 - x384*x201 - x385*x205 - x386*x209 - 
     x387*x213 - x388*x217 - x389*x221 - x9 - 6*x29 - x49 = 0;

e74: x390*x94 - x391*x142 - x392*x146 - x393*x150 - x394*x154 - x395*x158 - 
     x396*x162 - x397*x166 - x398*x170 - x399*x174 - x400*x178 - x401*x182 - 
     x402*x186 - x403*x190 - x404*x194 - x405*x198 - x406*x202 - x407*x206 - 
     x408*x210 - x409*x214 - x410*x218 - 2*x10 - 7*x30 - 7*x50 = 0;

e75: x390*x95 - x391*x143 - x392*x147 - x393*x151 - x394*x155 - x395*x159 - 
     x396*x163 - x397*x167 - x398*x171 - x399*x175 - x400*x179 - x401*x183 - 
     x402*x187 - x403*x191 - x404*x195 - x405*x199 - x406*x203 - x407*x207 - 
     x408*x211 - x409*x215 - x410*x219 - 9*x10 - 6*x30 - 9*x50 = 0;

e76: x390*x96 - x391*x144 - x392*x148 - x393*x152 - x394*x156 - x395*x160 - 
     x396*x164 - x397*x168 - x398*x172 - x399*x176 - x400*x180 - x401*x184 - 
     x402*x188 - x403*x192 - x404*x196 - x405*x200 - x406*x204 - x407*x208 - 
     x408*x212 - x409*x216 - x410*x220 - 8*x10 - 4*x30 - 7*x50 = 0;

e77: x390*x97 - x391*x145 - x392*x149 - x393*x153 - x394*x157 - x395*x161 - 
     x396*x165 - x397*x169 - x398*x173 - x399*x177 - x400*x181 - x401*x185 - 
     x402*x189 - x403*x193 - x404*x197 - x405*x201 - x406*x205 - x407*x209 - 
     x408*x213 - x409*x217 - x410*x221 - x10 - 6*x30 - x50 = 0;

e78: x411*x98 - x412*x142 - x413*x146 - x414*x150 - x415*x154 - x416*x158 - 
     x417*x162 - x418*x166 - x419*x170 - x420*x174 - x421*x178 - x422*x182 - 
     x423*x186 - x424*x190 - x425*x194 - x426*x198 - x427*x202 - x428*x206 - 
     x429*x210 - x430*x214 - x431*x218 - 2*x11 - 7*x31 - 7*x51 = 0;

e79: x411*x99 - x412*x143 - x413*x147 - x414*x151 - x415*x155 - x416*x159 - 
     x417*x163 - x418*x167 - x419*x171 - x420*x175 - x421*x179 - x422*x183 - 
     x423*x187 - x424*x191 - x425*x195 - x426*x199 - x427*x203 - x428*x207 - 
     x429*x211 - x430*x215 - x431*x219 - 9*x11 - 6*x31 - 9*x51 = 0;

e80: x411*x100 - x412*x144 - x413*x148 - x414*x152 - x415*x156 - x416*x160 - 
     x417*x164 - x418*x168 - x419*x172 - x420*x176 - x421*x180 - x422*x184 - 
     x423*x188 - x424*x192 - x425*x196 - x426*x200 - x427*x204 - x428*x208 - 
     x429*x212 - x430*x216 - x431*x220 - 8*x11 - 4*x31 - 7*x51 = 0;

e81: x411*x101 - x412*x145 - x413*x149 - x414*x153 - x415*x157 - x416*x161 - 
     x417*x165 - x418*x169 - x419*x173 - x420*x177 - x421*x181 - x422*x185 - 
     x423*x189 - x424*x193 - x425*x197 - x426*x201 - x427*x205 - x428*x209 - 
     x429*x213 - x430*x217 - x431*x221 - x11 - 6*x31 - x51 = 0;

e82: x432*x102 - x433*x142 - x434*x146 - x435*x150 - x436*x154 - x437*x158 - 
     x438*x162 - x439*x166 - x440*x170 - x441*x174 - x442*x178 - x443*x182 - 
     x444*x186 - x445*x190 - x446*x194 - x447*x198 - x448*x202 - x449*x206 - 
     x450*x210 - x451*x214 - x452*x218 - 2*x12 - 7*x32 - 7*x52 = 0;

e83: x432*x103 - x433*x143 - x434*x147 - x435*x151 - x436*x155 - x437*x159 - 
     x438*x163 - x439*x167 - x440*x171 - x441*x175 - x442*x179 - x443*x183 - 
     x444*x187 - x445*x191 - x446*x195 - x447*x199 - x448*x203 - x449*x207 - 
     x450*x211 - x451*x215 - x452*x219 - 9*x12 - 6*x32 - 9*x52 = 0;

e84: x432*x104 - x433*x144 - x434*x148 - x435*x152 - x436*x156 - x437*x160 - 
     x438*x164 - x439*x168 - x440*x172 - x441*x176 - x442*x180 - x443*x184 - 
     x444*x188 - x445*x192 - x446*x196 - x447*x200 - x448*x204 - x449*x208 - 
     x450*x212 - x451*x216 - x452*x220 - 8*x12 - 4*x32 - 7*x52 = 0;

e85: x432*x105 - x433*x145 - x434*x149 - x435*x153 - x436*x157 - x437*x161 - 
     x438*x165 - x439*x169 - x440*x173 - x441*x177 - x442*x181 - x443*x185 - 
     x444*x189 - x445*x193 - x446*x197 - x447*x201 - x448*x205 - x449*x209 - 
     x450*x213 - x451*x217 - x452*x221 - x12 - 6*x32 - x52 = 0;

e86: x453*x106 - x454*x142 - x455*x146 - x456*x150 - x457*x154 - x458*x158 - 
     x459*x162 - x460*x166 - x461*x170 - x462*x174 - x463*x178 - x464*x182 - 
     x465*x186 - x466*x190 - x467*x194 - x468*x198 - x469*x202 - x470*x206 - 
     x471*x210 - x472*x214 - x473*x218 - 2*x13 - 7*x33 - 7*x53 = 0;

e87: x453*x107 - x454*x143 - x455*x147 - x456*x151 - x457*x155 - x458*x159 - 
     x459*x163 - x460*x167 - x461*x171 - x462*x175 - x463*x179 - x464*x183 - 
     x465*x187 - x466*x191 - x467*x195 - x468*x199 - x469*x203 - x470*x207 - 
     x471*x211 - x472*x215 - x473*x219 - 9*x13 - 6*x33 - 9*x53 = 0;

e88: x453*x108 - x454*x144 - x455*x148 - x456*x152 - x457*x156 - x458*x160 - 
     x459*x164 - x460*x168 - x461*x172 - x462*x176 - x463*x180 - x464*x184 - 
     x465*x188 - x466*x192 - x467*x196 - x468*x200 - x469*x204 - x470*x208 - 
     x471*x212 - x472*x216 - x473*x220 - 8*x13 - 4*x33 - 7*x53 = 0;

e89: x453*x109 - x454*x145 - x455*x149 - x456*x153 - x457*x157 - x458*x161 - 
     x459*x165 - x460*x169 - x461*x173 - x462*x177 - x463*x181 - x464*x185 - 
     x465*x189 - x466*x193 - x467*x197 - x468*x201 - x469*x205 - x470*x209 - 
     x471*x213 - x472*x217 - x473*x221 - x13 - 6*x33 - x53 = 0;

e90: x474*x110 - x475*x142 - x476*x146 - x477*x150 - x478*x154 - x479*x158 - 
     x480*x162 - x481*x166 - x482*x170 - x483*x174 - x484*x178 - x485*x182 - 
     x486*x186 - x487*x190 - x488*x194 - x489*x198 - x490*x202 - x491*x206 - 
     x492*x210 - x493*x214 - x494*x218 - 2*x14 - 7*x34 - 7*x54 = 0;

e91: x474*x111 - x475*x143 - x476*x147 - x477*x151 - x478*x155 - x479*x159 - 
     x480*x163 - x481*x167 - x482*x171 - x483*x175 - x484*x179 - x485*x183 - 
     x486*x187 - x487*x191 - x488*x195 - x489*x199 - x490*x203 - x491*x207 - 
     x492*x211 - x493*x215 - x494*x219 - 9*x14 - 6*x34 - 9*x54 = 0;

e92: x474*x112 - x475*x144 - x476*x148 - x477*x152 - x478*x156 - x479*x160 - 
     x480*x164 - x481*x168 - x482*x172 - x483*x176 - x484*x180 - x485*x184 - 
     x486*x188 - x487*x192 - x488*x196 - x489*x200 - x490*x204 - x491*x208 - 
     x492*x212 - x493*x216 - x494*x220 - 8*x14 - 4*x34 - 7*x54 = 0;

e93: x474*x113 - x475*x145 - x476*x149 - x477*x153 - x478*x157 - x479*x161 - 
     x480*x165 - x481*x169 - x482*x173 - x483*x177 - x484*x181 - x485*x185 - 
     x486*x189 - x487*x193 - x488*x197 - x489*x201 - x490*x205 - x491*x209 - 
     x492*x213 - x493*x217 - x494*x221 - x14 - 6*x34 - x54 = 0;

e94: x495*x114 - x496*x142 - x497*x146 - x498*x150 - x499*x154 - x500*x158 - 
     x501*x162 - x502*x166 - x503*x170 - x504*x174 - x505*x178 - x506*x182 - 
     x507*x186 - x508*x190 - x509*x194 - x510*x198 - x511*x202 - x512*x206 - 
     x513*x210 - x514*x214 - x515*x218 - 2*x15 - 7*x35 - 7*x55 = 0;

e95: x495*x115 - x496*x143 - x497*x147 - x498*x151 - x499*x155 - x500*x159 - 
     x501*x163 - x502*x167 - x503*x171 - x504*x175 - x505*x179 - x506*x183 - 
     x507*x187 - x508*x191 - x509*x195 - x510*x199 - x511*x203 - x512*x207 - 
     x513*x211 - x514*x215 - x515*x219 - 9*x15 - 6*x35 - 9*x55 = 0;

e96: x495*x116 - x496*x144 - x497*x148 - x498*x152 - x499*x156 - x500*x160 - 
     x501*x164 - x502*x168 - x503*x172 - x504*x176 - x505*x180 - x506*x184 - 
     x507*x188 - x508*x192 - x509*x196 - x510*x200 - x511*x204 - x512*x208 - 
     x513*x212 - x514*x216 - x515*x220 - 8*x15 - 4*x35 - 7*x55 = 0;

e97: x495*x117 - x496*x145 - x497*x149 - x498*x153 - x499*x157 - x500*x161 - 
     x501*x165 - x502*x169 - x503*x173 - x504*x177 - x505*x181 - x506*x185 - 
     x507*x189 - x508*x193 - x509*x197 - x510*x201 - x511*x205 - x512*x209 - 
     x513*x213 - x514*x217 - x515*x221 - x15 - 6*x35 - x55 = 0;

e98: x516*x118 - x517*x142 - x518*x146 - x519*x150 - x520*x154 - x521*x158 - 
     x522*x162 - x523*x166 - x524*x170 - x525*x174 - x526*x178 - x527*x182 - 
     x528*x186 - x529*x190 - x530*x194 - x531*x198 - x532*x202 - x533*x206 - 
     x534*x210 - x535*x214 - x536*x218 - 2*x16 - 7*x36 - 7*x56 = 0;

e99: x516*x119 - x517*x143 - x518*x147 - x519*x151 - x520*x155 - x521*x159 - 
     x522*x163 - x523*x167 - x524*x171 - x525*x175 - x526*x179 - x527*x183 - 
     x528*x187 - x529*x191 - x530*x195 - x531*x199 - x532*x203 - x533*x207 - 
     x534*x211 - x535*x215 - x536*x219 - 9*x16 - 6*x36 - 9*x56 = 0;

e100: x516*x120 - x517*x144 - x518*x148 - x519*x152 - x520*x156 - x521*x160 - 
      x522*x164 - x523*x168 - x524*x172 - x525*x176 - x526*x180 - x527*x184 - 
      x528*x188 - x529*x192 - x530*x196 - x531*x200 - x532*x204 - x533*x208 - 
      x534*x212 - x535*x216 - x536*x220 - 8*x16 - 4*x36 - 7*x56 = 0;

e101: x516*x121 - x517*x145 - x518*x149 - x519*x153 - x520*x157 - x521*x161 - 
      x522*x165 - x523*x169 - x524*x173 - x525*x177 - x526*x181 - x527*x185 - 
      x528*x189 - x529*x193 - x530*x197 - x531*x201 - x532*x205 - x533*x209 - 
      x534*x213 - x535*x217 - x536*x221 - x16 - 6*x36 - x56 = 0;

e102: x537*x122 - x538*x142 - x539*x146 - x540*x150 - x541*x154 - x542*x158 - 
      x543*x162 - x544*x166 - x545*x170 - x546*x174 - x547*x178 - x548*x182 - 
      x549*x186 - x550*x190 - x551*x194 - x552*x198 - x553*x202 - x554*x206 - 
      x555*x210 - x556*x214 - x557*x218 - 2*x17 - 7*x37 - 7*x57 = 0;

e103: x537*x123 - x538*x143 - x539*x147 - x540*x151 - x541*x155 - x542*x159 - 
      x543*x163 - x544*x167 - x545*x171 - x546*x175 - x547*x179 - x548*x183 - 
      x549*x187 - x550*x191 - x551*x195 - x552*x199 - x553*x203 - x554*x207 - 
      x555*x211 - x556*x215 - x557*x219 - 9*x17 - 6*x37 - 9*x57 = 0;

e104: x537*x124 - x538*x144 - x539*x148 - x540*x152 - x541*x156 - x542*x160 - 
      x543*x164 - x544*x168 - x545*x172 - x546*x176 - x547*x180 - x548*x184 - 
      x549*x188 - x550*x192 - x551*x196 - x552*x200 - x553*x204 - x554*x208 - 
      x555*x212 - x556*x216 - x557*x220 - 8*x17 - 4*x37 - 7*x57 = 0;

e105: x537*x125 - x538*x145 - x539*x149 - x540*x153 - x541*x157 - x542*x161 - 
      x543*x165 - x544*x169 - x545*x173 - x546*x177 - x547*x181 - x548*x185 - 
      x549*x189 - x550*x193 - x551*x197 - x552*x201 - x553*x205 - x554*x209 - 
      x555*x213 - x556*x217 - x557*x221 - x17 - 6*x37 - x57 = 0;

e106: x558*x126 - x559*x142 - x560*x146 - x561*x150 - x562*x154 - x563*x158 - 
      x564*x162 - x565*x166 - x566*x170 - x567*x174 - x568*x178 - x569*x182 - 
      x570*x186 - x571*x190 - x572*x194 - x573*x198 - x574*x202 - x575*x206 - 
      x576*x210 - x577*x214 - x578*x218 - 2*x18 - 7*x38 - 7*x58 = 0;

e107: x558*x127 - x559*x143 - x560*x147 - x561*x151 - x562*x155 - x563*x159 - 
      x564*x163 - x565*x167 - x566*x171 - x567*x175 - x568*x179 - x569*x183 - 
      x570*x187 - x571*x191 - x572*x195 - x573*x199 - x574*x203 - x575*x207 - 
      x576*x211 - x577*x215 - x578*x219 - 9*x18 - 6*x38 - 9*x58 = 0;

e108: x558*x128 - x559*x144 - x560*x148 - x561*x152 - x562*x156 - x563*x160 - 
      x564*x164 - x565*x168 - x566*x172 - x567*x176 - x568*x180 - x569*x184 - 
      x570*x188 - x571*x192 - x572*x196 - x573*x200 - x574*x204 - x575*x208 - 
      x576*x212 - x577*x216 - x578*x220 - 8*x18 - 4*x38 - 7*x58 = 0;

e109: x558*x129 - x559*x145 - x560*x149 - x561*x153 - x562*x157 - x563*x161 - 
      x564*x165 - x565*x169 - x566*x173 - x567*x177 - x568*x181 - x569*x185 - 
      x570*x189 - x571*x193 - x572*x197 - x573*x201 - x574*x205 - x575*x209 - 
      x576*x213 - x577*x217 - x578*x221 - x18 - 6*x38 - x58 = 0;

e110: x579*x130 - x580*x142 - x581*x146 - x582*x150 - x583*x154 - x584*x158 - 
      x585*x162 - x586*x166 - x587*x170 - x588*x174 - x589*x178 - x590*x182 - 
      x591*x186 - x592*x190 - x593*x194 - x594*x198 - x595*x202 - x596*x206 - 
      x597*x210 - x598*x214 - x599*x218 - 2*x19 - 7*x39 - 7*x59 = 0;

e111: x579*x131 - x580*x143 - x581*x147 - x582*x151 - x583*x155 - x584*x159 - 
      x585*x163 - x586*x167 - x587*x171 - x588*x175 - x589*x179 - x590*x183 - 
      x591*x187 - x592*x191 - x593*x195 - x594*x199 - x595*x203 - x596*x207 - 
      x597*x211 - x598*x215 - x599*x219 - 9*x19 - 6*x39 - 9*x59 = 0;

e112: x579*x132 - x580*x144 - x581*x148 - x582*x152 - x583*x156 - x584*x160 - 
      x585*x164 - x586*x168 - x587*x172 - x588*x176 - x589*x180 - x590*x184 - 
      x591*x188 - x592*x192 - x593*x196 - x594*x200 - x595*x204 - x596*x208 - 
      x597*x212 - x598*x216 - x599*x220 - 8*x19 - 4*x39 - 7*x59 = 0;

e113: x579*x133 - x580*x145 - x581*x149 - x582*x153 - x583*x157 - x584*x161 - 
      x585*x165 - x586*x169 - x587*x173 - x588*x177 - x589*x181 - x590*x185 - 
      x591*x189 - x592*x193 - x593*x197 - x594*x201 - x595*x205 - x596*x209 - 
      x597*x213 - x598*x217 - x599*x221 - x19 - 6*x39 - x59 = 0;

e114: x600*x134 - x601*x142 - x602*x146 - x603*x150 - x604*x154 - x605*x158 - 
      x606*x162 - x607*x166 - x608*x170 - x609*x174 - x610*x178 - x611*x182 - 
      x612*x186 - x613*x190 - x614*x194 - x615*x198 - x616*x202 - x617*x206 - 
      x618*x210 - x619*x214 - x620*x218 - 2*x20 - 7*x40 - 7*x60 = 0;

e115: x600*x135 - x601*x143 - x602*x147 - x603*x151 - x604*x155 - x605*x159 - 
      x606*x163 - x607*x167 - x608*x171 - x609*x175 - x610*x179 - x611*x183 - 
      x612*x187 - x613*x191 - x614*x195 - x615*x199 - x616*x203 - x617*x207 - 
      x618*x211 - x619*x215 - x620*x219 - 9*x20 - 6*x40 - 9*x60 = 0;

e116: x600*x136 - x601*x144 - x602*x148 - x603*x152 - x604*x156 - x605*x160 - 
      x606*x164 - x607*x168 - x608*x172 - x609*x176 - x610*x180 - x611*x184 - 
      x612*x188 - x613*x192 - x614*x196 - x615*x200 - x616*x204 - x617*x208 - 
      x618*x212 - x619*x216 - x620*x220 - 8*x20 - 4*x40 - 7*x60 = 0;

e117: x600*x137 - x601*x145 - x602*x149 - x603*x153 - x604*x157 - x605*x161 - 
      x606*x165 - x607*x169 - x608*x173 - x609*x177 - x610*x181 - x611*x185 - 
      x612*x189 - x613*x193 - x614*x197 - x615*x201 - x616*x205 - x617*x209 - 
      x618*x213 - x619*x217 - x620*x221 - x20 - 6*x40 - x60 = 0;

e118: x621*x138 - x622*x142 - x623*x146 - x624*x150 - x625*x154 - x626*x158 - 
      x627*x162 - x628*x166 - x629*x170 - x630*x174 - x631*x178 - x632*x182 - 
      x633*x186 - x634*x190 - x635*x194 - x636*x198 - x637*x202 - x638*x206 - 
      x639*x210 - x640*x214 - x641*x218 - 2*x21 - 7*x41 - 7*x61 = 0;

e119: x621*x139 - x622*x143 - x623*x147 - x624*x151 - x625*x155 - x626*x159 - 
      x627*x163 - x628*x167 - x629*x171 - x630*x175 - x631*x179 - x632*x183 - 
      x633*x187 - x634*x191 - x635*x195 - x636*x199 - x637*x203 - x638*x207 - 
      x639*x211 - x640*x215 - x641*x219 - 9*x21 - 6*x41 - 9*x61 = 0;

e120: x621*x140 - x622*x144 - x623*x148 - x624*x152 - x625*x156 - x626*x160 - 
      x627*x164 - x628*x168 - x629*x172 - x630*x176 - x631*x180 - x632*x184 - 
      x633*x188 - x634*x192 - x635*x196 - x636*x200 - x637*x204 - x638*x208 - 
      x639*x212 - x640*x216 - x641*x220 - 8*x21 - 4*x41 - 7*x61 = 0;

e121: x621*x141 - x622*x145 - x623*x149 - x624*x153 - x625*x157 - x626*x161 - 
      x627*x165 - x628*x169 - x629*x173 - x630*x177 - x631*x181 - x632*x185 - 
      x633*x189 - x634*x193 - x635*x197 - x636*x201 - x637*x205 - x638*x209 - 
      x639*x213 - x640*x217 - x641*x221 - x21 - 6*x41 - x61 = 0;

e122: x222*x62 - x222*x142 = -3752;

e123: x222*x63 - x222*x143 = -146060;

e124: x222*x64 - x222*x144 = -151420;

e125: x222*x65 - x222*x145 = -93800;

e126: x243*x66 - x243*x146 = -10434;

e127: x243*x67 - x243*x147 = -29748;

e128: x243*x68 - x243*x148 = -42254;

e129: x243*x69 - x243*x149 = -20202;

e130: x264*x70 - x264*x150 = -48022;

e131: x264*x71 - x264*x151 = -13806;

e132: x264*x72 - x264*x152 = -14612;

e133: x264*x73 - x264*x153 = -39182;

e134: x285*x74 - x285*x154 = -123816;

e135: x285*x75 - x285*x155 = -23056;

e136: x285*x76 - x285*x156 = -209352;

e137: x285*x77 - x285*x157 = -195536;

e138: x306*x78 - x306*x158 = -107500;

e139: x306*x79 - x306*x159 = -24600;

e140: x306*x80 - x306*x160 = -79900;

e141: x306*x81 - x306*x161 = -186000;

e142: x327*x82 - x327*x162 = -5280;

e143: x327*x83 - x327*x163 = -31240;

e144: x327*x84 - x327*x164 = -67155;

e145: x327*x85 - x327*x165 = -76175;

e146: x348*x86 - x348*x166 = -57900;

e147: x348*x87 - x348*x167 = -9850;

e148: x348*x88 - x348*x168 = -35700;

e149: x348*x89 - x348*x169 = -134550;

e150: x369*x90 - x369*x170 = -2626;

e151: x369*x91 - x369*x171 = -33748;

e152: x369*x92 - x369*x172 = -23088;

e153: x369*x93 - x369*x173 = -67496;

e154: x390*x94 - x390*x174 = -223146;

e155: x390*x95 - x390*x175 = -19110;

e156: x390*x96 - x390*x176 = -97412;

e157: x390*x97 - x390*x177 = -22932;

e158: x411*x98 - x411*x178 = -48070;

e159: x411*x99 - x411*x179 = -114425;

e160: x411*x100 - x411*x180 = -72220;

e161: x411*x101 - x411*x181 = -200790;

e162: x432*x102 - x432*x182 = -81090;

e163: x432*x103 - x432*x183 = -133365;

e164: x432*x104 - x432*x184 = -25075;

e165: x432*x105 - x432*x185 = -4335;

e166: x453*x106 - x453*x186 = -75905;

e167: x453*x107 - x453*x187 = -111435;

e168: x453*x108 - x453*x188 = -109725;

e169: x453*x109 - x453*x189 = -21660;

e170: x474*x110 - x474*x190 = -33800;

e171: x474*x111 - x474*x191 = -176500;

e172: x474*x112 - x474*x192 = -153000;

e173: x474*x113 - x474*x193 = -74400;

e174: x495*x114 - x495*x194 = -49050;

e175: x495*x115 - x495*x195 = -34740;

e176: x495*x116 - x495*x196 = -88110;

e177: x495*x117 - x495*x197 = -81225;

e178: x516*x118 - x516*x198 = -9200;

e179: x516*x119 - x516*x199 = -35000;

e180: x516*x120 - x516*x200 = -47700;

e181: x516*x121 - x516*x201 = -30700;

e182: x537*x122 - x537*x202 = -10200;

e183: x537*x123 - x537*x203 = -128475;

e184: x537*x124 - x537*x204 = -34050;

e185: x537*x125 - x537*x205 = -28275;

e186: x558*x126 - x558*x206 = -58995;

e187: x558*x127 - x558*x207 = -46265;

e188: x558*x128 - x558*x208 = -8645;

e189: x558*x129 - x558*x209 = -51110;

e190: x579*x130 - x579*x210 = -82600;

e191: x579*x131 - x579*x211 = -9000;

e192: x579*x132 - x579*x212 = -19800;

e193: x579*x133 - x579*x213 = -28400;

e194: x600*x134 - x600*x214 = -8760;

e195: x600*x135 - x600*x215 = -24000;

e196: x600*x136 - x600*x216 = -45480;

e197: x600*x137 - x600*x217 = -45600;

e198: x621*x138 - x621*x218 = -25480;

e199: x621*x139 - x621*x219 = -16450;

e200: x621*x140 - x621*x220 = -7560;

e201: x621*x141 - x621*x221 = -15470;