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knitting projects - an ipod cover which I made too large so now it's a camera case, a quadratic equation camera bag (video camera), and the robot toy (in progress) for Amelie. plus my pattern book with notes

Naomi Corti, Zachary Gonder, Olivia Bell, and KJ Takahashi perform Gianna Riesen's "Dancer Polynomials" in NOW: Premieres at the 2025 Vail Dance Festival. Photo by Christopher Duggan.

"Polynomially convex embeddings of compact real manifolds"

Extra credit for 12/4/09.

Replaces a missing homework assigment.

knitting projects - an ipod cover which I made too large so now it's a camera case, a polynomial camera bag (video camera), and the robot toy (in progress) for Amelie. plus my pattern book with notes

"Polynomially convex embeddings of compact real manifolds"

"Root statistics of random polynomials with bounded Mahler measure"

"Root statistics of random polynomials with bounded Mahler measure"

polynomial function, quadratic

Cast of Gianna Riesen's "Dancer Polynomials" in NOW: Premieres at the 2025 Vail Dance Festival. Photo by Christopher Duggan.

Freud & cousin Matt working on homework during the rehearsal lunch.

Naomi Corti and Olivia Bell perform Gianna Riesen's "Dancer Polynomials" in NOW: Premieres at the 2025 Vail Dance Festival. Photo by Christopher Duggan.

Naomi Corti, Zachary Gonder, Olivia Bell, and KJ Takahashi perform Gianna Riesen's "Dancer Polynomials" in NOW: Premieres at the 2025 Vail Dance Festival. Photo by Christopher Duggan.

"Zeros of random polynomials and their derivatives"

"Polynomially convex embeddings of compact real manifolds"

"Zeros of random polynomials and their derivatives"

Polynomial function Function f (y) is called as polynomial function if it is expressed in following way f (y) = b m y m + b (m – 1) y (m – 1) +…+ b 2 y 2+ b 1 y + b 0

Here 'm' is non negative Integer and b 0, b 1… b (m – 1), b m are constant coefficients. Polynomial Functions can be with one or more than one terms. For instance, function ƒ(y) is defined asf (y) = y 3 – y is a polynomial function with one argument. Polynomial functions of multiple arguments can be defined as:

f (x, y) = 3x 3 + 4 x 2 y + 5 x y 5 + 8.

"The protean chromatic polynomial"

 

TZ front and back

"Polynomially convex embeddings of compact real manifolds"

SIMPLE = T / file does conform to FITS standard

BITPIX = -32 / number of bits per data pixel

NAXIS = 3 / number of data axes

NAXIS1 = 949 / length of data axis 1

NAXIS2 = 1642 / length of data axis 2

NAXIS3 = 3 / length of data axis 3

EXTEND = T / FITS dataset may contain extensions

COMMENT FITS (Flexible Image Transport System) format is defined in 'Astronomy

COMMENT and Astrophysics', volume 376, page 359; bibcode: 2001A&A...376..359H

BZERO = 0. / Offset data range to that of unsigned short

BSCALE = 1. / Default scaling factor

PROGRAM = 'Siril 1.4.0-beta2' / Software that created this HDU

FILENAME= 'Light_M 16_20.0s_LP_20250622-232957.fit'

DATE = '2025-06-23T19:28:36' / UTC date that FITS file was created

DATE-OBS= '2025-06-23T04:29:31.809704' / YYYY-MM-DDThh🇲🇲ss observation start,

IMAGETYP= 'Light ' / Type of image

ROWORDER= 'BOTTOM-UP' / Order of the rows in image array

EXPTIME = 20. / [s] Exposure time duration

TELESCOP= 'S50_f1c10930' / Telescope used to acquire this image

FILTER = 'LP_Starless' / Active filter name

APERTURE= 5. / Aperture of the instrument

FOCALLEN= 251.986 / [mm] Focal length

XBINNING= 1 / Camera binning mode

YBINNING= 1 / Camera binning mode

XPIXSZ = 2.90000009536743 / [um] Pixel X axis size

YPIXSZ = 2.90000009536743 / [um] Pixel Y axis size

INSTRUME= 'Seestar S50' / Instrument name

CCD-TEMP= 32.4375 / [degC] CCD temperature

GAIN = 80 / Sensor gain

FOCPOS = 1621 / [step] Focuser position

STACKCNT= 91 / Stack frames

LIVETIME= 1820. / [s] Exposure time after deadtime correction

EXPSTART= 2460841.67850084 / [JD] Exposure start time (standard Julian date)

EXPEND = 2460849.71095275 / [JD] Exposure end time (standard Julian date)

OBJECT = 'M 16 ' / Name of the object of interest

SITELAT = 41.6815 / [deg] Observation site latitude

SITELONG= -88.2535 / [deg] Observation site longitude

OBJCTRA = '18 18 55.004' / [H M S] Image center Right Ascension

OBJCTDEC= '-13 44 44.473' / [D M S] Image center Declination

RA = 274.729181878602 / [deg] Image center Right Ascension

DEC = -13.7456870076761 / [deg] Image center Declination

CTYPE1 = 'RA---TAN-SIP' / TAN (gnomic) projection + SIP distortions

CTYPE2 = 'DEC--TAN-SIP' / TAN (gnomic) projection + SIP distortions

CUNIT1 = 'deg ' / Unit of coordinates

CUNIT2 = 'deg ' / Unit of coordinates

EQUINOX = 2000. / Equatorial equinox

CRPIX1 = 480.5 / Axis1 reference pixel

CRPIX2 = 736.5 / Axis2 reference pixel

CRVAL1 = 274.724783408969 / [deg] Axis1 reference value

CRVAL2 = -13.8017072810947 / [deg] Axis2 reference value

LONPOLE = 180. / Native longitude of celestial pole

CDELT1 = -0.000659160986076846 / [deg] X pixel size

CDELT2 = 0.000659626546502201 / [deg] Y pixel size

PC1_1 = 0.999933251303997 / Linear transformation matrix (1, 1)

PC1_2 = -0.0115539143418235 / Linear transformation matrix (1, 2)

PC2_1 = 0.0120529938239087 / Linear transformation matrix (2, 1)

PC2_2 = 0.999927360031658 / Linear transformation matrix (2, 2)

A_ORDER = 3 / SIP polynomial degree, axis 1, pixel-to-sky

A_0_0 = 0.

A_1_0 = 0.

A_0_1 = 0.

A_2_0 = -2.59411263811396E-07

A_1_1 = 2.79779373415157E-10

A_0_2 = -9.90456742923409E-10

A_3_0 = 8.4705869344335E-11

A_2_1 = -3.04918862003216E-11

A_1_2 = -3.90954030148303E-12

A_0_3 = 5.67478334168557E-12

B_ORDER = 3 / SIP polynomial degree, axis 2, pixel-to-sky

B_0_0 = 0.

B_1_0 = 0.

B_0_1 = 0.

B_2_0 = 8.91415868113519E-08

B_1_1 = -2.67767617570221E-07

B_0_2 = -5.89035941132793E-08

B_3_0 = -1.40643364183344E-10

B_2_1 = 1.45657207961967E-10

B_1_2 = -2.36217405729841E-11

B_0_3 = -2.01833050784025E-11

AP_ORDER= 3 / SIP polynomial degree, axis 1, sky-to-pixel

AP_0_0 = 1.01484846752664E-06

AP_1_0 = -2.32983299319756E-10

AP_0_1 = 4.22746414920634E-10

AP_2_0 = 2.59380547338156E-07

AP_1_1 = -2.75474209717763E-10

AP_0_2 = 9.90119534367058E-10

AP_3_0 = -8.45670026299879E-11

AP_2_1 = 3.04928143135306E-11

AP_1_2 = 3.91044177126236E-12

AP_0_3 = -5.67561542204008E-12

BP_ORDER= 3 / SIP polynomial degree, axis 2, sky-to-pixel

BP_0_0 = -2.85791530191524E-06

BP_1_0 = 1.504874674822E-09

BP_0_1 = -1.90556515011764E-09

BP_2_0 = -8.90880525674123E-08

BP_1_1 = 2.67749535969441E-07

BP_0_2 = 5.89093048754696E-08

BP_3_0 = 1.40559567587897E-10

BP_2_1 = -1.45525878272462E-10

BP_1_2 = 2.36673747852158E-11

BP_0_3 = 2.01941334739035E-11

CREATOR = 'ZWO Seestar S50' / Capture software

PRODUCER= 'ZWO ' / Powered by ZWO

XORGSUBF= 0 / Subframe X position in binned pixels

YORGSUBF= 0 / Subframe Y position in binned pixels

EQMODE = 1 / Equatorial mode

CCDXBIN = 1 / Camera X Bin

CCDYBIN = 1 / Camera Y Bin

TOTALEXP= 20. / Total Exposure Time in seconds

BG-EXTR = 'GraXpert'

CBG-1 = 0.0019664455

CBG-2 = 0.0019664455

CBG-3 = 0.0019664455

INTP-OPT= 'RBF '

HIERARCH SMOOTHING = 0.5

HIERARCH CORR-TYPE = 'Subtraction'

HIERARCH SAMPLE-SIZE = 15

HIERARCH RBF-KERNEL = 'thin_plate'

HIERARCH SPLINE-ORDER = 3

BG-PTS = '[[202, 668, 1], [267, 597, 1], [339, 597, 1], [309, 555, 1], [381, &'

CONTINUE '525, 1], [21, 669, 1], [93, 669, 1], [165, 699, 1], [237, 699, 1], &'

CONTINUE '[195, 741, 1], [267, 741, 1], [21, 597, 1], [125, 449, 1], [36, &'

CONTINUE '396, 1], [93, 411, 1], [165, 411, 1], [237, 411, 1], [267, 339, &'

CONTINUE '1], [93, 483, 1], [76, 89, 1], [51, 21, 1], [123, 21, 1], [165, &'

CONTINUE '51, 1], [21, 93, 1], [93, 93, 1], [165, 93, 1], [267, 123, 1], &'

CONTINUE '[309, 123, 1], [411, 93, 1], [483, 93, 1], [483, 195, 1], [309, &'

CONTINUE '51, 1], [267, 165, 1], [787, 127, 1], [771, 123, 1], [741, 165, &'

CONTINUE '1], [828, 180, 1], [900, 180, 1], [987, 165, 1], [987, 123, 1], &'

CONTINUE '[1059, 93, 1], [987, 21, 1], [1059, 51, 1], [813, 267, 1], [974, &'

CONTINUE '273, 1], [915, 267, 1], [987, 237, 1], [1029, 267, 1], [1044, 324, &'

CONTINUE '1], [1044, 180, 1], [650, 48, 1], [699, 21, 1], [741, 51, 1], &'

CONTINUE '[627, 123, 1], [699, 93, 1], [699, 165, 1], [92, 231, 1], [21, &'

CONTINUE '195, 1], [108, 180, 1], [195, 165, 1], [51, 267, 1], [123, 237, &'

CONTINUE '1], [324, 387, 1], [339, 411, 1], [381, 411, 1], [468, 396, 1], &'

CONTINUE '[195, 483, 1], [237, 453, 1], [324, 468, 1], [396, 468, 1], [453, &'

CONTINUE '453, 1], [525, 453, 1], [627, 453, 1], [669, 453, 1], [699, 525, &'

CONTINUE '1], [741, 555, 1], [843, 525, 1], [699, 597, 1], [771, 597, 1], &'

CONTINUE '[828, 612, 1], [123, 555, 1], [165, 525, 1], [237, 525, 1], [468, &'

CONTINUE '324, 1], [159, 1073, 1], [51, 1059, 1], [108, 1044, 1], [237, &'

CONTINUE '1059, 1], [169.9674267100977, 1006.9055374592834, 1.0], &'

CONTINUE '[207.4918566775243, 1012.1172638436482, 1.0], [160, 1236, 1], &'

CONTINUE '[123, 1275, 1], [165, 1275, 1], [132, 1410, 1], [51, 1389, 1], &'

CONTINUE '[123, 1419, 1], [195, 1389, 1], [267, 1419, 1], [180, 1476, 1], &'

CONTINUE '[267, 1461, 1], [249.1856677524429, 1365.4723127035832, 1.0], &'

CONTINUE '[123, 1347, 1], [165, 1317, 1], [237, 1317, 1], [237, 1245, 1], &'

CONTINUE '[284.62540716612375, 1284.169381107492, 1.0], [1035.1140065146578, &'

CONTINUE '1055.8957654723126, 1.0], [930.8794788273617, 1076.742671009772, &'

CONTINUE '1.0], [800.586319218241, 928.7296416938111, 1.0], [813, 1131, 1], &'

CONTINUE '[1044.4951140065145, 1145.5374592833875, 1.0], &'

CONTINUE '[1000.7166123778502, 1087.1661237785015, 1.0], [599, 1266, 1], &'

CONTINUE '[555, 1245, 1], [597, 1275, 1], [627, 1347, 1], [717, 1337, 1], &'

CONTINUE '[699, 1317, 1], [756, 1332, 1], [813, 1317, 1], [699, 1275, 1], &'

CONTINUE '[756.8078175895764, 1235.1791530944627, 1.0], [849.5765472312703, &'

CONTINUE '1245.6026058631924, 1.0], [885, 1275, 1], [764.1042345276874, &'

CONTINUE '1202.8664495114008, 1.0], [813, 1173, 1], [915, 1203, 1], [771, &'

CONTINUE '1389, 1], [915, 1317, 1], [843, 1389, 1], [511, 1504, 1], [411, &'

CONTINUE '1491, 1], [483, 1461, 1], [396, 1404, 1], [468, 1404, 1], [555, &'

CONTINUE '1389, 1], [411, 1347, 1], [453, 1347, 1], [555, 1347, 1], [468, &'

CONTINUE '1260, 1], [453, 1533, 1], [525, 1563, 1], [468, 1015, 1], [468, &'

CONTINUE '972, 1], [525, 987, 1], [453, 1059, 1], [525, 1059, 1], [381, &'

CONTINUE '1131, 1], [468, 1116, 1], [525, 1101, 1], [627, 1131, 1], [704, &'

CONTINUE '734, 1], [699, 699, 1], [771, 669, 1], [699, 741, 1], [771, 771, &'

CONTINUE '1], [843, 741, 1], [741, 813, 1], [843, 843, 1], [671, 793, 1], &'

CONTINUE '[627, 741, 1], [699, 813, 1], [668, 1057, 1], [669, 1059, 1], &'

CONTINUE '[771, 1059, 1], [843, 1059, 1], [843, 957, 1], [714, 1130, 1], &'

CONTINUE '[699, 1131, 1], [771, 1101, 1], [411, 1173, 1], [453, 1173, 1], &'

CONTINUE '[525, 1203, 1], [627, 1203, 1], [669, 1203, 1], [565, 1493, 1], &'

CONTINUE '[627, 1491, 1], [627, 1533, 1], [669, 1563, 1], [612, 1620, 1], &'

CONTINUE '[699, 1605, 1], [771, 1605, 1], [612, 1692, 1], [699, 1707, 1], &'

CONTINUE '[771, 1707, 1], [627, 1779, 1], [669, 1779, 1], [771, 1749, 1], &'

CONTINUE '[483, 1851, 1], [555, 1851, 1], [627, 1821, 1], [669, 1851, 1], &'

CONTINUE '[525, 1893, 1], [612, 1908, 1], [699, 1893, 1], [627, 1419, 1], &'

CONTINUE '[739, 1496, 1], [684, 1476, 1], [756, 1476, 1], [813, 1491, 1], &'

CONTINUE '[771, 1563, 1], [828, 1548, 1], [1027, 1384, 1], [987, 1347, 1], &'

CONTINUE '[1029, 1317, 1], [987, 1419, 1], [1059, 1389, 1], [987, 1491, 1], &'

CONTINUE '[1029, 1491, 1], [987, 1275, 1], [1059, 1275, 1], [987, 1203, 1], &'

CONTINUE '[1029, 1203, 1], [1059, 1101, 1], [912, 1522, 1], [915, 1491, 1], &'

CONTINUE '[915, 1533, 1], [947, 1606, 1], [987, 1563, 1], [1059, 1563, 1], &'

CONTINUE '[987, 1635, 1], [1044, 1620, 1], [987, 1677, 1], [1042, 1687, 1], &'

CONTINUE '[1059, 1677, 1], [987, 1779, 1], [1029, 1749, 1], [20, 1704, 1], &'

CONTINUE '[36, 1692, 1], [93, 1729, 1], [51, 1749, 1], [93, 1749, 1], [21, &'

CONTINUE '1821, 1], [108, 1836, 1], [51, 1893, 1], [93, 1893, 1], [195, &'

CONTINUE '1893, 1], [476, 542, 1], [453, 525, 1], [540, 540, 1], [627, 525, &'

CONTINUE '1], [864, 390, 1], [843, 381, 1], [915, 411, 1], [987, 411, 1], &'

CONTINUE '[1044, 396, 1], [843, 453, 1], [915, 453, 1], [957, 483, 1], &'

CONTINUE '[1029, 483, 1], [875, 457, 1], [885, 509, 1], [1044, 540, 1], &'

CONTINUE '[741, 411, 1], [669, 339, 1], [756, 324, 1], [843, 339, 1], [957, &'

CONTINUE '618, 1], [900, 612, 1], [972, 612, 1], [1029, 627, 1], [885, 669, &'

CONTINUE '1], [987, 669, 1], [1029, 699, 1], [987, 525, 1], [920, 703, 1], &'

CONTINUE '[915, 741, 1], [957, 771, 1], [1003, 872, 1], [987, 843, 1], &'

CONTINUE '[1059, 813, 1], [1044, 900, 1], [941, 927, 1], [915, 885, 1]]'

END

 

"Extensions of the notions of polynomial and rational hull"

"Zeros of random polynomials and their derivatives"

"Root statistics of random polynomials with bounded Mahler measure"

Algebra 2 students work on a collaborative graphing polynomials investigation

polynomials orthogonal over the unit disk

Drawing polynomials in Maths today and decided that the curves looked like mountains, so what better opportunity to draw day 4's challenge of a pony at a peak!

SIMPLE = T / file does conform to FITS standard

BITPIX = -32 / number of bits per data pixel

NAXIS = 3 / number of data axes

NAXIS1 = 1080 / length of data axis 1

NAXIS2 = 1920 / length of data axis 2

NAXIS3 = 3 / length of data axis 3

EXTEND = T / FITS dataset may contain extensions

COMMENT FITS (Flexible Image Transport System) format is defined in 'Astronomy

COMMENT and Astrophysics', volume 376, page 359; bibcode: 2001A&A...376..359H

BZERO = 0. / Offset data range to that of unsigned short

BSCALE = 1. / Default scaling factor

MIPS-HI = 65535 / Lower visualization cutoff

MIPS-LO = 9831 / Upper visualization cutoff

PROGRAM = 'Siril 1.4.0-beta2' / Software that created this HDU

FILENAME= 'Light_Ic 5070_20.0s_IRCUT_20250622-024239.fit'

DATE = '2025-06-24T04:26:38' / UTC date that FITS file was created

DATE-OBS= '2025-06-22T07:42:14.637728' / YYYY-MM-DDThh🇲🇲ss observation start,

IMAGETYP= 'Light ' / Type of image

ROWORDER= 'BOTTOM-UP' / Order of the rows in image array

EXPTIME = 20. / [s] Exposure time duration

TELESCOP= 'S50_f1c10930' / Telescope used to acquire this image

FILTER = 'IRCUT_Starless' / Active filter name

APERTURE= 5. / Aperture of the instrument

FOCALLEN= 252.167 / [mm] Focal length

XBINNING= 1 / Camera binning mode

YBINNING= 1 / Camera binning mode

XPIXSZ = 2.90000009536743 / [um] Pixel X axis size

YPIXSZ = 2.90000009536743 / [um] Pixel Y axis size

INSTRUME= 'Seestar S50' / Instrument name

CCD-TEMP= 35.3125 / [degC] CCD temperature

GAIN = 80 / Sensor gain

FOCPOS = 1662 / [step] Focuser position

STACKCNT= 293 / Stack frames

LIVETIME= 5860. / [s] Exposure time after deadtime correction

EXPSTART= 2460848.79212051 / [JD] Exposure start time (standard Julian date)

EXPEND = 2460848.88459607 / [JD] Exposure end time (standard Julian date)

OBJECT = 'Ic 5070 ' / Name of the object of interest

SITELAT = 41.7559 / [deg] Observation site latitude

SITELONG= -88.1817 / [deg] Observation site longitude

OBJCTRA = '20 22 48.493' / [H M S] Image center Right Ascension

OBJCTDEC= '+40 16 56.014' / [D M S] Image center Declination

RA = 305.702054923212 / [deg] Image center Right Ascension

DEC = 40.2822259873584 / [deg] Image center Declination

CTYPE1 = 'RA---TAN-SIP' / TAN (gnomic) projection + SIP distortions

CTYPE2 = 'DEC--TAN-SIP' / TAN (gnomic) projection + SIP distortions

CUNIT1 = 'deg ' / Unit of coordinates

CUNIT2 = 'deg ' / Unit of coordinates

EQUINOX = 2000. / Equatorial equinox

CRPIX1 = 540.5 / Axis1 reference pixel

CRPIX2 = 960.5 / Axis2 reference pixel

CRVAL1 = 305.702054923212 / [deg] Axis1 reference value

CRVAL2 = 40.2822259873584 / [deg] Axis2 reference value

LONPOLE = 180. / Native longitude of celestial pole

CDELT1 = -0.000658985662763667 / [deg] X pixel size

CDELT2 = 0.000658851975618572 / [deg] Y pixel size

PC1_1 = 0.999900466887 / Linear transformation matrix (1, 1)

PC1_2 = -0.014108732018124 / Linear transformation matrix (1, 2)

PC2_1 = 0.0143525065646045 / Linear transformation matrix (2, 1)

PC2_2 = 0.999896997472896 / Linear transformation matrix (2, 2)

A_ORDER = 3 / SIP polynomial degree, axis 1, pixel-to-sky

A_0_0 = 0.

A_1_0 = 0.

A_0_1 = 0.

A_2_0 = -1.19410247034111E-08

A_1_1 = 7.78513536534528E-08

A_0_2 = 9.88456107610977E-08

A_3_0 = -8.57140801047322E-11

A_2_1 = -8.67879206965984E-12

A_1_2 = 5.56120718308569E-12

A_0_3 = 2.96664097324315E-12

B_ORDER = 3 / SIP polynomial degree, axis 2, pixel-to-sky

B_0_0 = 0.

B_1_0 = 0.

B_0_1 = 0.

B_2_0 = 3.27820839973891E-08

B_1_1 = -6.16624158018356E-08

B_0_2 = 7.88534898441739E-08

B_3_0 = -4.19713727637688E-11

B_2_1 = 2.56089905030994E-11

B_1_2 = -4.62919521303922E-11

B_0_3 = 3.06089411630186E-11

AP_ORDER= 3 / SIP polynomial degree, axis 1, sky-to-pixel

AP_0_0 = 6.1707748718239E-07

AP_1_0 = -4.3323533649442E-10

AP_0_1 = 2.47175991348569E-11

AP_2_0 = 1.19303487036376E-08

AP_1_1 = -7.78638185114009E-08

AP_0_2 = -9.88417624728285E-08

AP_3_0 = 8.57247608197901E-11

AP_2_1 = 8.67758891192419E-12

AP_1_2 = -5.56398194603341E-12

AP_0_3 = -2.94319879724791E-12

BP_ORDER= 3 / SIP polynomial degree, axis 2, sky-to-pixel

BP_0_0 = -8.61643236760301E-07

BP_1_0 = -1.19257833633748E-09

BP_0_1 = -2.27431629085117E-10

BP_2_0 = -3.27806101734178E-08

BP_1_1 = 6.16453026919144E-08

BP_0_2 = -7.88457919164612E-08

BP_3_0 = 4.1977264226171E-11

BP_2_1 = -2.55944922774647E-11

BP_1_2 = 4.62744691496152E-11

BP_0_3 = -3.05996321732164E-11

CREATOR = 'ZWO Seestar S50' / Capture software

PRODUCER= 'ZWO ' / Powered by ZWO

XORGSUBF= 0 / Subframe X position in binned pixels

YORGSUBF= 0 / Subframe Y position in binned pixels

EQMODE = 1 / Equatorial mode

CCDXBIN = 1 / Camera X Bin

CCDYBIN = 1 / Camera Y Bin

TOTALEXP= 20. / Total Exposure Time in seconds

BG-EXTR = 'GraXpert'

CBG-1 = 0.0017722284

CBG-2 = 0.0017722284

CBG-3 = 0.0017722284

INTP-OPT= 'RBF '

HIERARCH SMOOTHING = 0.5

HIERARCH CORR-TYPE = 'Subtraction'

HIERARCH SAMPLE-SIZE = 15

HIERARCH RBF-KERNEL = 'thin_plate'

HIERARCH SPLINE-ORDER = 3

BG-PTS = '[[202, 668, 1], [267, 597, 1], [339, 597, 1], [309, 555, 1], [381, &'

CONTINUE '525, 1], [21, 669, 1], [93, 669, 1], [165, 699, 1], [237, 699, 1], &'

CONTINUE '[195, 741, 1], [267, 741, 1], [21, 597, 1], [125, 449, 1], [36, &'

CONTINUE '396, 1], [93, 411, 1], [165, 411, 1], [237, 411, 1], [267, 339, &'

CONTINUE '1], [93, 483, 1], [76, 89, 1], [51, 21, 1], [123, 21, 1], [165, &'

CONTINUE '51, 1], [21, 93, 1], [93, 93, 1], [165, 93, 1], [267, 123, 1], &'

CONTINUE '[309, 123, 1], [411, 93, 1], [483, 93, 1], [483, 195, 1], [309, &'

CONTINUE '51, 1], [267, 165, 1], [787, 127, 1], [771, 123, 1], [741, 165, &'

CONTINUE '1], [828, 180, 1], [900, 180, 1], [987, 165, 1], [987, 123, 1], &'

CONTINUE '[1059, 93, 1], [987, 21, 1], [1059, 51, 1], [813, 267, 1], [974, &'

CONTINUE '273, 1], [915, 267, 1], [987, 237, 1], [1029, 267, 1], [1044, 324, &'

CONTINUE '1], [1044, 180, 1], [650, 48, 1], [699, 21, 1], [741, 51, 1], &'

CONTINUE '[627, 123, 1], [699, 93, 1], [699, 165, 1], [92, 231, 1], [21, &'

CONTINUE '195, 1], [108, 180, 1], [195, 165, 1], [51, 267, 1], [123, 237, &'

CONTINUE '1], [324, 387, 1], [339, 411, 1], [381, 411, 1], [468, 396, 1], &'

CONTINUE '[195, 483, 1], [237, 453, 1], [324, 468, 1], [396, 468, 1], [453, &'

CONTINUE '453, 1], [525, 453, 1], [627, 453, 1], [669, 453, 1], [699, 525, &'

CONTINUE '1], [741, 555, 1], [843, 525, 1], [699, 597, 1], [771, 597, 1], &'

CONTINUE '[828, 612, 1], [123, 555, 1], [165, 525, 1], [237, 525, 1], [468, &'

CONTINUE '324, 1], [159, 1073, 1], [51, 1059, 1], [108, 1044, 1], [237, &'

CONTINUE '1059, 1], [169.9674267100977, 1006.9055374592834, 1.0], &'

CONTINUE '[207.4918566775243, 1012.1172638436482, 1.0], [160, 1236, 1], &'

CONTINUE '[123, 1275, 1], [165, 1275, 1], [132, 1410, 1], [51, 1389, 1], &'

CONTINUE '[123, 1419, 1], [195, 1389, 1], [267, 1419, 1], [180, 1476, 1], &'

CONTINUE '[267, 1461, 1], [249.1856677524429, 1365.4723127035832, 1.0], &'

CONTINUE '[123, 1347, 1], [165, 1317, 1], [237, 1317, 1], [237, 1245, 1], &'

CONTINUE '[284.62540716612375, 1284.169381107492, 1.0], [1035.1140065146578, &'

CONTINUE '1055.8957654723126, 1.0], [930.8794788273617, 1076.742671009772, &'

CONTINUE '1.0], [800.586319218241, 928.7296416938111, 1.0], [813, 1131, 1], &'

CONTINUE '[1044.4951140065145, 1145.5374592833875, 1.0], &'

CONTINUE '[1000.7166123778502, 1087.1661237785015, 1.0], [599, 1266, 1], &'

CONTINUE '[555, 1245, 1], [597, 1275, 1], [627, 1347, 1], [717, 1337, 1], &'

CONTINUE '[699, 1317, 1], [756, 1332, 1], [813, 1317, 1], [699, 1275, 1], &'

CONTINUE '[756.8078175895764, 1235.1791530944627, 1.0], [849.5765472312703, &'

CONTINUE '1245.6026058631924, 1.0], [885, 1275, 1], [764.1042345276874, &'

CONTINUE '1202.8664495114008, 1.0], [813, 1173, 1], [915, 1203, 1], [771, &'

CONTINUE '1389, 1], [915, 1317, 1], [843, 1389, 1], [511, 1504, 1], [411, &'

CONTINUE '1491, 1], [483, 1461, 1], [396, 1404, 1], [468, 1404, 1], [555, &'

CONTINUE '1389, 1], [411, 1347, 1], [453, 1347, 1], [555, 1347, 1], [468, &'

CONTINUE '1260, 1], [453, 1533, 1], [525, 1563, 1], [886.2275304620586, &'

CONTINUE '1024.249004705031, 1.0], [878.3858125226208, 1000.1206418144532, &'

CONTINUE '1.0], [935.6906743877431, 995.2949692363376, 1.0], &'

CONTINUE '[51.98938352032826, 1321.0278682591388, 1.0], [679.3268186753531, &'

CONTINUE '1104.4758113162025, 1.0], [381, 1131, 1], [545.4144046326459, &'

CONTINUE '1167.209554831705, 1.0], [581.6069489685127, 1149.716491736036, &'

CONTINUE '1.0], [627, 1131, 1], [704, 734, 1], [699, 699, 1], [771, 669, 1], &'

CONTINUE '[699, 741, 1], [771, 771, 1], [843, 741, 1], [741, 813, 1], [843, &'

CONTINUE '843, 1], [671, 793, 1], [627, 741, 1], [699, 813, 1], [668, 1057, &'

CONTINUE '1], [669, 1059, 1], [771, 1059, 1], [843, 1059, 1], [843, 957, 1], &'

CONTINUE '[714, 1130, 1], [699, 1131, 1], [771, 1101, 1], [411, 1173, 1], &'

CONTINUE '[453, 1173, 1], [525, 1203, 1], [627, 1203, 1], [669, 1203, 1], &'

CONTINUE '[565, 1493, 1], [627, 1491, 1], [627, 1533, 1], [669, 1563, 1], &'

CONTINUE '[612, 1620, 1], [699, 1605, 1], [771, 1605, 1], [612, 1692, 1], &'

CONTINUE '[699, 1707, 1], [771, 1707, 1], [627, 1779, 1], [669, 1779, 1], &'

CONTINUE '[771, 1749, 1], [483, 1851, 1], [555, 1851, 1], [627, 1821, 1], &'

CONTINUE '[669, 1851, 1], [525, 1893, 1], [612, 1908, 1], [699, 1893, 1], &'

CONTINUE '[627, 1419, 1], [739, 1496, 1], [684, 1476, 1], [756, 1476, 1], &'

CONTINUE '[813, 1491, 1], [771, 1563, 1], [828, 1548, 1], [1027, 1384, 1], &'

CONTINUE '[987, 1347, 1], [1029, 1317, 1], [987, 1419, 1], [1059, 1389, 1], &'

CONTINUE '[987, 1491, 1], [1029, 1491, 1], [987, 1275, 1], [1059, 1275, 1], &'

CONTINUE '[987, 1203, 1], [1029, 1203, 1], [1059, 1101, 1], [912, 1522, 1], &'

CONTINUE '[915, 1491, 1], [915, 1533, 1], [947, 1606, 1], [987, 1563, 1], &'

CONTINUE '[1059, 1563, 1], [987, 1635, 1], [1044, 1620, 1], [987, 1677, 1], &'

CONTINUE '[1042, 1687, 1], [1059, 1677, 1], [987, 1779, 1], [1029, 1749, 1], &'

CONTINUE '[20, 1704, 1], [36, 1692, 1], [93, 1729, 1], [51, 1749, 1], [93, &'

CONTINUE '1749, 1], [21, 1821, 1], [108, 1836, 1], [51, 1893, 1], [93, 1893, &'

CONTINUE '1], [195, 1893, 1], [476, 542, 1], [453, 525, 1], [540, 540, 1], &'

CONTINUE '[627, 525, 1], [864, 390, 1], [843, 381, 1], [915, 411, 1], [987, &'

CONTINUE '411, 1], [1044, 396, 1], [843, 453, 1], [915, 453, 1], [957, 483, &'

CONTINUE '1], [1029, 483, 1], [875, 457, 1], [885, 509, 1], [1044, 540, 1], &'

CONTINUE '[741, 411, 1], [669, 339, 1], [756, 324, 1], [843, 339, 1], [957, &'

CONTINUE '618, 1], [900, 612, 1], [972, 612, 1], [1029, 627, 1], [885, 669, &'

CONTINUE '1], [987, 669, 1], [1029, 699, 1], [987, 525, 1], [920, 703, 1], &'

CONTINUE '[915, 741, 1], [957, 771, 1], [1003, 872, 1], [987, 843, 1], &'

CONTINUE '[1059, 813, 1], [1044, 900, 1], [941, 927, 1], [915, 885, 1]]'

END

 

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