Hi Phil,
Good question; I hadn't used the JTS Test builder before, so thanks
for mentioning that. When I loaded up your geometries in the
builder, I noticed the larger geometry was reporting no area.
When I changed the LINEARRING to a POLYGON (adding one set of ()'s),
it shows that A (the bigger geometry) contains the smaller one.
Your understanding of spatial predicates is fine.
I would have also thought that definitely a linear ring might define
an area, but it doesn't appear to... Once you treat the ring as a
linear geometry, the DE-9IM matrices you named make total sense.
Cheers,
Jim
On 08/29/2016 06:56 PM, Phil Scadden
wrote:
I have two valid polygons. One certainly looks to be within the
other. (screenshot from test builder)
Within, contains, covers all return false. Disjoint return true.
The intersection matrix AB is FF1FFF212, BA is FF2FF11F2.
I find this very puzzling. If I have misunderstood the predicates,
then what is the way to see if one polygon is within another??
The inner polygon is:
POLYGON ((1644693.75 5472338, 1644835.625 5472460, 1645389.875
5472943, 1645866.25 5473385, 1646134.5 5473622, 1646511.125
5473241, 1646628.375 5473122.5, 1646187.75 5472950.5, 1645595.5
5472704.5, 1644888.75 5472418, 1644693.75 5472338))
The outer ring is:
LINEARRING (1649040.5 5459425, 1649037.75 5459408, 1649001.25
5459244, 1648676 5459006, 1648661.5 5458995.5, 1647933.125
5458463, 1647358.5 5458043, 1645718.625 5456843.5, 1645527.5
5456704, 1644304.5 5455810, 1643077.375 5454912.5, 1642772.625
5454689.5, 1642421.75 5454433, 1641756.125 5453946.5, 1641327.25
5453632.5, 1641251 5453577, 1641008 5453399, 1639405.875 5452228,
1638981.875 5451918, 1638091.25 5451266.5, 1637640.125 5450937,
1637140.375 5450571.5, 1636282.125 5449944.5, 1635778.875
5449576.5, 1634397.875 5448566.5, 1633765.25 5448104, 1633164.375
5447664.5, 1632288.625 5447024, 1631486.875 5446437.5, 1630847
5445970, 1629501.5 5444986.5, 1628657.375 5444369, 1627884.25
5443804, 1627645.375 5443629, 1627044.625 5443189.5, 1626519.5
5442805.5, 1626156.5 5442540.5, 1625522.75 5442077, 1625054.75
5442545, 1624978.75 5442621.5, 1624867.5 5442732.5, 1624677.25
5442922.5, 1624264.5 5443335.5, 1623960.75 5443639.5, 1623667.75
5443932.5, 1623361.875 5444238, 1622982.75 5444617, 1622808.25
5444792, 1622400 5445200, 1622336 5445264, 1622171.875 5445428,
1622036.25 5445563.5, 1621727.5 5445872.5, 1621286.75 5446313,
1621128.5 5446471.5, 1620962.75 5446637.5, 1620520.75 5447079,
1620077.75 5447522, 1619881 5447719, 1619637.375 5447962.5,
1619441.75 5448158, 1619204.125 5448396, 1619200 5448400,
1618941.375 5448658.5, 1618927.75 5448672, 1618833.5 5448766.5,
1618456.25 5449144, 1618224.5 5449375.5, 1618140.25 5449460,
1617558.75 5450041.5, 1617263.25 5450337, 1616715.75 5450884.5,
1616650.25 5450949.5, 1616511.25 5451088.5, 1616400 5451200,
1616217.25 5451405.5, 1615972.5 5451681, 1615870.5 5451795.5,
1615736 5451947, 1615213.625 5452534.5, 1614896.875 5452891,
1614800 5453000, 1614431.75 5453368.5, 1613994.25 5453806,
1613629.25 5454171, 1613430.75 5454369.5, 1613343.75 5454456.5,
1613297.75 5454502, 1612955.25 5454844.5, 1612909 5454891, 1612648
5455152, 1612391 5455409, 1612292.75 5455507.5, 1611966.25
5455833.5, 1611477.375 5456322.5, 1611405.875 5456394, 1611346.875
5456453, 1611200 5456600, 1611292.625 5457279.5, 1611293.5
5457285, 1611296.5 5457307, 1611388.625 5457983.5, 1611412.875
5458161.5, 1611471.25 5458588.5, 1611517.75 5458930, 1611559.25
5459234, 1611576 5459357, 1611591.75 5459472.5, 1611675.75
5460089, 1611734.875 5460522.5, 1611754.5 5460666.5, 1611800
5461000, 1611839 5461195.5, 1611866.5 5461333, 1611982.75 5461914,
1612123 5462615.5, 1612128.125 5462640.5, 1612158.25 5462791,
1612332.125 5463660.5, 1612339 5463694.5, 1612368 5463840, 1612400
5464000, 1612445.25 5464588.5, 1612506.75 5465387.5, 1612517.25
5465523, 1612529.75 5465686.5, 1612565.625 5466153.5, 1612590.75
5466481, 1612597 5466561, 1612600 5466600, 1612660 5466900,
1612742.25 5467311.5, 1612797 5467584.5, 1612909.75 5468148.5,
1612916 5468180, 1612958.5 5468392.5, 1613054.5 5468872,
1613122.25 5469211, 1613153.5 5469368, 1613200 5469600, 1613158.75
5469847.5, 1613114.75 5470111.5, 1613113.75 5470117.5, 1613071.125
5470373.5, 1613009 5470745.5, 1612996.875 5470819, 1612973.25
5470960.5, 1612897 5471417.5, 1612828.875 5471826.5, 1612807.75
5471954, 1612800 5472000, 1612737 5472151, 1612538.625 5472627.5,
1612435.75 5472874, 1612268 5473277, 1612243.125 5473336.5,
1612121.125 5473629.5, 1611800 5474400, 1611783.375 5474455.5,
1611673.5 5474821.5, 1611645.625 5474914.5, 1611521.875 5475327,
1611461.25 5475529, 1611309.25 5476036, 1611267 5476177, 1611200
5476400, 1611175 5476460, 1611173.25 5476464, 1611049.75 5476761,
1610938 5477029, 1610803.5 5477352, 1610644.125 5477734, 1610590.5
5477863, 1610430.625 5478246.5, 1610291.25 5478581, 1610200
5478800, 1610117.75 5479074, 1609995.25 5479482.5, 1609812.375
5480092, 1609676 5480547, 1609600 5480800, 1609563.25 5480901,
1609487.625 5481109, 1609203.5 5481890.5, 1609165.25 5481995.5,
1609096.25 5482185, 1609032 5482362, 1608913.375 5482688.5,
1608834.5 5482905, 1608800 5483000, 1608726.125 5483200.5,
1608451.375 5483946.5, 1608336.25 5484259, 1608211 5484598.5,
1608088.125 5484932, 1608057.125 5485016.5, 1607897.5 5485449.5,
1607761 5485820, 1607662.75 5486087, 1607651.125 5486118.5,
1607583.5 5486302, 1607401.5 5486796, 1607400 5486800, 1607338
5486862, 1607018.5 5487181.5, 1606807.875 5487392, 1606313.5
5487886.5, 1606255.5 5487944.5, 1606202.625 5487997.5, 1605710.5
5488489.5, 1605433.875 5488766, 1605282.75 5488917, 1605016
5489184, 1604828.75 5489371, 1604690 5489510, 1604389.75 5489810,
1604389.613 5489810.263, 1604022.625 5490177.5, 1604000 5490200,
1603747.125 5490223, 1603604.25 5490236, 1603377.25 5490256.5,
1603002 5490290.5, 1602776.75 5490311, 1602599.25 5490327.5,
1601800 5490400, 1601674.375 5490421, 1601585.5 5490436, 1601559.5
5490440, 1601533.25 5490444.5, 1600434.5 5490627.5, 1600333.75
5490644.5, 1600264 5490656, 1600209.082 5490665.094, 1600723.25
5491251.5, 1601499.25 5492168, 1602005.75 5492845, 1602972.875
5494106.5, 1603105.125 5494288, 1603187 5494463, 1603645.875
5495625.5, 1603911.875 5496307.5, 1604091.25 5496830.5,
1604292.875 5497631, 1604502.375 5498116, 1604819.375 5498985,
1604935.5 5499205.5, 1604816.5 5499051, 1604404.125 5498546.5,
1604201.125 5498292.5, 1604066.75 5498122.5, 1604045.125
5497999.5, 1603646.625 5496828, 1603474.875 5496185.5, 1603103.125
5495148.5, 1602433.125 5494355, 1602084.375 5493814, 1601537
5493221, 1601039.375 5492629, 1600127.5 5491636.5, 1600124.875
5491633, 1599390.625 5490800, 1599216.75 5490800, 1599072.75
5490800, 1598723.5 5490800, 1598433 5490800, 1598187.25 5490800,
1597638 5490800, 1597220 5490800, 1596893.75 5490800, 1596800
5490800, 1596571.125 5490732.5, 1596115.5 5490598.5, 1595531
5490427, 1595381.75 5490383, 1595315.25 5490363.5, 1594644.125
5490166, 1594600.75 5490153, 1594584.75 5490148.5, 1594031.125
5489985.5, 1593499.625 5489829.5, 1593385.375 5489795.5,
1593344.625 5489783.5, 1593125.75 5489719.5, 1592406.625 5489508,
1592242 5489459.5, 1591490.25 5489238.5, 1591392.25 5489209.5,
1591227.5 5489161, 1590710.75 5489009, 1590000 5488800,
1589937.875 5488835.5, 1589448.75 5489115, 1588799.5 5489486,
1588576.125 5489613.5, 1588239 5489806.5, 1587899 5490000.5,
1587326.875 5490327.5, 1586375.75 5490871, 1586342.75 5490890,
1586326.25 5490899.5, 1586250.75 5490942.5, 1585800 5491200,
1585692.75 5491289.5, 1585558.75 5491401, 1585274 5491638.5,
1585011.875 5491856.5, 1584835 5492004, 1584743.125 5492080.5,
1584570.875 5492224.5, 1584124.125 5492596.5, 1583969 5492726,
1583566.25 5493061.5, 1583549.25 5493075.5, 1583400 5493200,
1583352.625 5493452.5, 1583331 5493568, 1583266.875 5493910,
1583225 5494133, 1583210.125 5494213, 1583202.75 5494252.5,
1583188.25 5494329, 1583060 5495013.5, 1583044.125 5495098,
1583032 5495162.5, 1582903.625 5495847.5, 1582882 5495962.5,
1582878.125 5495983.5, 1582800 5496400, 1582771.375 5496715,
1582750.25 5496947.5, 1582734.875 5497117, 1582702.5 5497473,
1582685 5497664.5, 1582647.75 5498074.5, 1582632.25 5498245.5,
1582611.125 5498478, 1582600 5498600, 1582568.75 5498735.5,
1582559 5498777.5, 1582470.375 5499161.5, 1582439.875 5499293.5,
1582407.25 5499435, 1582328.25 5499777.5, 1582206.25 5500306,
1582154.75 5500529.5, 1582000 5501200, 1582001 5501203.5,
1582023.125 5501281, 1582047 5501364.5, 1582092.25 5501522.5,
1582287.5 5502206.5, 1582364.5 5502476, 1582418.875 5502666,
1582584.5 5503245.5, 1583064.875 5504927, 1583125.75 5505140,
1583156.125 5505246.5, 1583199.25 5505397, 1583200 5505400,
1583349.625 5505819, 1583426.875 5506035.5, 1583458.25 5506123,
1583542.5 5506359, 1583677.25 5506736.5, 1583767.75 5506989.5,
1583875.25 5507290.5, 1583906.5 5507378.5, 1583964.75 5507541.5,
1584028.5 5507720, 1584149.75 5508059.5, 1584200 5508200, 1584205
5508214.5, 1584480.375 5509001, 1584488.25 5509023.5, 1584493.875
5509039.5, 1584516.625 5509104.5, 1584633 5509437, 1584659.25
5509512, 1584735.75 5509730.5, 1584766.875 5509819.5, 1584821.125
5509974.5, 1585046.5 5510618.5, 1585123.375 5510838, 1585215.375
5511101, 1585322 5511405.5, 1585456.875 5511791, 1585504.25
5511926.5, 1585526.125 5511989, 1585552 5512063, 1585600 5512200,
1585633.5 5512345.5, 1585717.75 5512710, 1585751.5 5512856,
1585844 5513257.5, 1585860.375 5513328, 1585867.375 5513358.5,
1585903.125 5513513.5, 1585995 5513911.5, 1586093.927 5514340.102,
1586093.75 5514340, 1586200 5514800, 1586071.5 5514900,
1585988.625 5514964.5, 1585925.625 5515013.5, 1585877.375 5515051,
1585559.25 5515298.5, 1585518.375 5515330, 1585507.25 5515339,
1585401 5515421.5, 1585380.5 5515437.5, 1585186.25 5515588.5,
1584566.5 5516070.5, 1584419 5516185, 1584400 5516200, 1584126.625
5516446, 1583847.75 5516697, 1583805.25 5516735.5, 1583732.5
5516801, 1583502.75 5517007.5, 1583396.625 5517103, 1583127.75
5517345, 1583026.25 5517436.5, 1582787 5517651.5, 1582612.5
5517809, 1582542.125 5517872, 1582400 5518000, 1582303.5 5518006,
1582100.375 5518018.5, 1581939 5518029, 1581414.375 5518061.5,
1581268 5518071, 1581157.625 5518077.5, 1580759.5 5518102.5,
1580557 5518115, 1580407 5518124.5, 1580272.25 5518133, 1579927.75
5518154.5, 1579408.25 5518187, 1579314.625 5518193, 1579200
5518200, 1578822.25 5518214.5, 1578819.5 5518214.5, 1578810.125
5518215, 1578490.5 5518227.5, 1578417 5518230, 1577972.375
5518247, 1577925.625 5518249, 1577802.625 5518253.5, 1577173.875
5518278, 1577025.25 5518283.5, 1576638.5 5518298.5, 1576445.25
5518306, 1576312.375 5518311, 1575964.75 5518324.5, 1575770.5
5518332, 1575317.5 5518349.5, 1575171.25 5518355, 1574780.75
5518370, 1574572 5518378, 1574302.5 5518388.5, 1574136.375
5518395, 1573262 5518206, 1573000.375 5518137, 1572887.75
5518107.5, 1572866.375 5518101.5, 1572814.375 5518088, 1572695.5
5518056.5, 1572512.375 5518008.5, 1572346.125 5517965, 1571524.625
5517748.5, 1571470.25 5517734.5, 1571393.125 5517714, 1571034.5
5517619.5, 1571015.25 5517614.5, 1570958.5 5517599.5, 1570938.75
5517594.5, 1570916 5517588.5, 1570200 5517400, 1570012.875
5517365, 1569971 5517357, 1569856.5 5517335.5, 1569712.25
5517308.5, 1569356.875 5517242, 1569072 5517188.5, 1569043.875
5517183, 1568873 5517151, 1568847.75 5517146.5, 1568644.75
5517108.5, 1568469.25 5517075.5, 1568464.75 5517074.5, 1568446
5517071, 1568352.125 5517053.5, 1568046 5516996, 1567679.875
5516927.5, 1567257.25 5516848, 1567187.75 5516835, 1567000
5516800, 1566895.625 5516710.5, 1566771 5516603.5, 1566682.25
5516527.5, 1566549.375 5516414, 1566085 5516015.5, 1565985.625
5515930.5, 1565948.125 5515898.5, 1565513.5 5515526, 1565207.25
5515263.5, 1565022.25 5515105, 1564831.75 5514941.5, 1564807.25
5514920.5, 1564610.375 5514751.5, 1564478.5 5514638.5, 1564443.25
5514608.5, 1564200 5514400, 1563944.25 5514144.5, 1563880 5514080,
1563844.5 5514044.5, 1563431.25 5513631.5, 1563332 5513532,
1563327.5 5513527.5, 1563136.5 5513336.5, 1563117.625 5513317.5,
1563108.25 5513308.5, 1563062 5513262, 1562600 5512800,
1562202.875 5512459.5, 1562129.25 5512396.5, 1562093.5 5512366,
1562040.5 5512320.5, 1561853.5 5512160, 1561825.375 5512136,
1561798.75 5512113, 1561745.5 5512067.5, 1561675.5 5512007.5,
1561081.5 5511498.5, 1560998 5511427, 1560841.875 5511293,
1560818.125 5511272.5, 1560725 5511193, 1560671.625 5511147,
1560242.875 5510779.5, 1560027 5510594.5, 1559955.5 5510533.5,
1559905.75 5510490.5, 1559844.375 5510438, 1559813 5510411,
1559800 5510400, 1559790.25 5510390, 1559771.5 5510371.5,
1559632.25 5510232.5, 1559584.25 5510184, 1559160.125 5509760,
1558856 5509456, 1558827.375 5509427.5, 1558727.75 5509328,
1558643 5509243, 1558579.625 5509179.5, 1558451.5 5509051.5,
1558032 5508632, 1557831.5 5508431.5, 1557400 5508000, 1557300.25
5507914.5, 1556802 5507487.5, 1556471 5507203.5, 1556443.375
5507180, 1556314.75 5507070, 1555766.25 5506599.5, 1555680.875
5506526.5, 1555613.75 5506469, 1555332.625 5506228, 1555277
5506180.5, 1555134.875 5506058.5, 1554891.5 5505850, 1554621
5505618, 1554600 5505600, 1554466.5 5505466.5, 1554314.25
5505314.5, 1553997.5 5504997.5, 1553688.25 5504688, 1553588
5504588, 1553315.25 5504315.5, 1553101.5 5504101.5, 1553052.875
5504053, 1553046.25 5504046.5, 1552561.375 5503561.5, 1552491.875
5503492, 1552200 5503200, 1551981.875 5503013, 1551950 5502985.5,
1551573.5 5502663, 1551231.5 5502370, 1550917.375 5502100.5,
1550718 5501929.5, 1550664.5 5501884, 1550662.625 5501882.5,
1550321.5 5501590, 1550312.5 5501582, 1550285.25 5501558.5,
1550059.5 5501365.5, 1549452 5500844.5, 1549427.75 5500823.5,
1549400 5500800, 1549366.125 5500766, 1549300.5 5500700.5,
1549232.75 5500633, 1548775 5500175, 1548680.375 5500080.5,
1548638.25 5500038, 1547966 5499366, 1547949.625 5499349.5,
1547947.875 5499348, 1547936.625 5499336.5, 1547934.5 5499334.5,
1547911 5499311, 1547649 5499049, 1547315.5 5498715.5, 1547000
5498399.5, 1546851.75 5498263, 1546400.75 5497847, 1546343.125
5497793.5, 1546141.5 5497607.5, 1546007.375 5497483.5, 1545996
5497473, 1545952.5 5497433, 1545901.75 5497386, 1545472.75
5496990.5, 1545444.625 5496964, 1545119 5496663.5, 1544531.125
5496121, 1544495.75 5496088.5, 1544442 5496038.5, 1544407.25
5496006.5, 1544400 5496000, 1544045.625 5495696, 1543791.75
5495478.5, 1543500.625 5495229, 1542848.375 5494670, 1542801.5
5494630, 1542792.25 5494622, 1542774.5 5494606.5, 1542767.25
5494600.5, 1542763.125 5494597, 1542756.125 5494591, 1542738.625
5494576, 1542670.25 5494517.5, 1542606.375 5494462.5, 1542520.875
5494389.5, 1542407.375 5494292, 1541944.75 5493895.5, 1541862.5
5493825, 1541702.75 5493688, 1541646 5493639.5, 1541624.375
5493621, 1541600 5493600, 1541236 5493236, 1541076.25 5493076,
1540294.375 5492294.5, 1540260.25 5492260.5, 1540158.375
5492158.5, 1540017.625 5492017.5, 1539921.75 5491922, 1539848.25
5491848.5, 1539785 5491785, 1539239 5491239, 1539157.125 5491157,
1539000 5491000, 1538947.625 5491038.5, 1538723.5 5491203, 1538498
5491368, 1538464.875 5491392.5, 1538446.125 5491406, 1538270.125
5491535, 1538210.25 5491579, 1537922.875 5491790, 1537530 5492078,
1537371.25 5492194.5, 1537231.5 5492297, 1537012.5 5492457.5,
1536813.75 5492603, 1536441.75 5492876, 1536398.25 5492908,
1536360.375 5492935.5, 1536100.5 5493126.5, 1536032.875 5493176,
1536000 5493200, 1535344.75 5493724, 1534813.25 5494149.5,
1534685.25 5494252, 1534579.125 5494336.5, 1534494.75 5494404,
1534448.75 5494441, 1534432.5 5494454, 1534306.875 5494554.5,
1533627.75 5495098, 1533568.375 5495145.5, 1533441.125 5495247,
1533361.875 5495310.5, 1533189.25 5495448.5, 1533120.75 5495503.5,
1533117.625 5495506, 1532730.25 5495816, 1532673.5 5495861,
1532731.625 5496328, 1532733.75 5496345, 1532744.25 5496430,
1532746 5496444, 1532782.25 5496735.5, 1532803 5496902,
1532815.625 5497004.5, 1532831.25 5497130, 1532880 5497522,
1532897.5 5497663, 1532933.25 5497950.5, 1532958.5 5498154.5,
1533002 5498504.5, 1533026.875 5498704, 1533081 5499140.5,
1533084.625 5499169, 1533097.375 5499271.5, 1533127.125 5499511,
1533156.5 5499748, 1533173 5499880.5, 1533227.5 5500319,
1533250.625 5500505, 1533311.75 5500996.5, 1533471 5502278,
1533483.5 5502378.5, 1533488.875 5502421.5, 1533502.5 5502532.5,
1533510.75 5502598, 1533513.75 5502622, 1533533.375 5502780,
1533557.25 5502973, 1533558.375 5502981.5, 1533629 5503550.5,
1533659.625 5503796, 1533660.25 5503801, 1533704.75 5504158.5,
1533771.5 5504696.5, 1533807.5 5504986, 1533816.625 5505059.5,
1533827 5505143, 1533863 5505433, 1533931.75 5505986.5,
1533966.375 5506264, 1533972.75 5506315.5, 1533974.375 5506328.5,
1533975.875 5506341, 1533986.875 5506429.5, 1534010.5 5506619,
1534059.5 5507013, 1534073.5 5507126.5, 1534086.25 5507229.5,
1534180.5 5507988, 1534191.625 5508077, 1534211.5 5508236.5,
1534229 5508378.5, 1534268.5 5508695, 1534318 5509094, 1534364.625
5509469, 1534401.5 5509766, 1534420.25 5509916.5, 1534430.375
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1656985.75 5632888, 1656547.875 5632416.5, 1656168.125 5631997,
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5628066, 1663893.625 5627871, 1664334 5627577.5, 1664515
5627456.5, 1664697.75 5627335, 1664752 5627298.5, 1664915.375
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1670420.125 5624034.5, 1670471.5 5624012.5, 1670665.5 5623928,
1670741 5623895, 1671164.5 5623711, 1671450.125 5623587, 1671679.5
5623487, 1671785.25 5623441, 1671815.75 5623428, 1672614.5
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1672951.5 5622924, 1672970.75 5622914.5, 1673432.5 5622684,
1673549 5622625.5, 1673688 5622556, 1674268 5622266, 1674297.75
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5621940.5, 1675099.375 5621850.5, 1675153.75 5621823, 1675200
5621800, 1675565.5 5621678, 1675689.75 5621637, 1675876.5
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5621299.5, 1676709.375 5621297, 1676856.5 5621248, 1676863.5
5621245.5, 1676907.125 5621231, 1677033.75 5621189, 1677418.75
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5620441, 1679154.25 5620378.5, 1679435.5 5620266, 1679470.875
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5529855, 1696856.75 5529725, 1696804.125 5529610.5, 1696116
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1689918.5 5517063, 1689657.75 5516591, 1688870.625 5515184.5,
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1686443.125 5511620.5, 1685081.25 5510387.5, 1684534 5509892,
1683652.875 5509231.5, 1682882.5 5508652.5, 1681708.375 5507828.5,
1680168.375 5506696.5, 1679166.125 5506011, 1676842.875 5503588.5,
1676784.25 5503529, 1676766.5 5503508, 1676746.25 5503475,
1676487.375 5503052, 1675854.375 5501988, 1675827.375 5501833.5,
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1673401.5 5492937, 1673353.125 5492649.5, 1673062 5492092.5,
1672964.375 5491905.5, 1672859.625 5491705, 1672709.5 5491512,
1672558.875 5491318.5, 1672492.25 5491233, 1672000 5490600,
1671821 5490349.5, 1671777.125 5490288, 1671639.375 5490095,
1671103.375 5489344.5, 1670636 5488690.5, 1670369.375 5488317,
1670000 5487800, 1669558.625 5487113.5, 1669342.5 5486777.5,
1669249.5 5486632.5, 1669138.5 5486460, 1669014 5486266.5,
1668856.125 5486020.5, 1668509 5485481, 1668397.125 5485306.5,
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1667510.375 5483976, 1667431.625 5483884, 1665922.25 5482120.5,
1665860.875 5482051.5, 1665809.25 5481995.5, 1665526.875
5481700.5, 1665058.25 5481212, 1664301.625 5480423, 1664022.75
5480152, 1663169.125 5479327, 1662986.625 5479152.5, 1662945
5479112, 1662634.5 5478806, 1661718.75 5477909, 1661542.5
5477732.5, 1660300.875 5476606.5, 1660051.125 5476363, 1659887.375
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5474553.5, 1656475.125 5472570, 1656382.375 5472465.5, 1656179.125
5472277, 1654759.75 5470791.5, 1653514.5 5469344.5, 1652914.375
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5467514.5, 1651780.875 5467122.5, 1651123.375 5466232.5,
1651064.25 5466146, 1650394.875 5465024, 1650134.5 5464279,
1649720.625 5462771.5, 1649434.125 5461566.5, 1649297.5 5460986,
1649040.5 5459425)
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