# Appendix
This markdown file tabulates [3+2] ping-pong oblique spaceships using one T-ship in Glimmering Garden. It is an attachment to
https://conwaylife.com/forums/viewtopic.php?f=11&t=4099&p=187199#p187199

By FlutterWithKSparkler and GUYTU6J, June 08 2024.

## Count summary
The following counts exclude 9 + 6 = 15 for the (-25, 9, -74) column with delayed displacement.
| w + e | (-25, 9, -74) | (-33, 6, -68) | Total |
|:---:|:---:|:---:|:---:|
| (-8, -18, 1) | 33 Even + 32 Odd | 2 Even + 2 Odd | 35 Even + 34 Odd |
| (-20, -19, -38) | 20 Even + 15 Odd | 0 Even + 1 Odd | 20 Even + 16 Odd |
| Total | 53 Even + 47 Odd | 2 Even + 3 Odd | 55 Even + 50 Odd |

## Enumeration
A "-" marks the absence of suitable vector and spaceship.
### (-8, -18, 1) + (-25, 9, -74)
#### Even
| Location | (y, (2x-t)mod4) | Vector | Minpop | apgcode |
|:---:|:---:|:---:|:---:|:---:|
| (-103, -12) | (2, 0) | (-31, 2, -14) | 96 | xq1035_y4qv6s8zy51zzo88gz98047yzyg3156zyzyzyzy7o8o0gozyzyjsi2eyz4e368mi2cya17eod6zyzyl4aof5yy24443 |
| (-103, -12) | (2, 0) | (-32, 2, -16) | 96 | xq1035_skpdk3zx231yzyzyzy3ggg8g84099ezyzyfe01jyuccwcuis8yl3225kuazy6gog8gyzy47553yro46w1yn1363zy42749s |
| (-103, -12) | (2, 0) | (-33, 2, -18) | 91 | xq1035_8si7i12zx13yzyzyzy5gog8o8xpe4zyzyf4edjyzi224syk13625mjuzy6ggg0cc2yzy23631ys8660111ym3557zy574889 |
| (-116, -3) | (11, 2) | (-34, 11, -102) | 93 | xq795_c6koc2qyzy7625m98m0oy9gosmkgzw323yzy8278rcw111ya1011zzzyoskc08cogyweh574y29zyp37c63 |
| (-116, -3) | (11, 2) | (-32, 11, -118) | 76 | xq795_y51w1yogc4szy5o8syn79czy512221yzyzy5319mwe986zyzyzyk2631zz4eovmyzyzy73ogh97zx1 |
| (-116, -3) | (11, 2) | (-31, 11, -120) | 74 | xq795_y51w1ypg88ozy5o8syp744w6zy512221yzyzy5319mwe986zyzyzyk2631zz4eovmyzyzy73ogh97zx1 |
| (-121, -2) | (12, 0) | (-34, 12, -100) | 80 | xq795_71348oyzyv2798cogiezx321yb4ooyzyfaje4zykehgo7zy4gogzy41wpe4yvgo6a02acg04s8zyzyb24mv31 |
| (-121, -2) | (12, 0) | (-32, 12, -104) | 89 | xq795_y5ndpkszy4132zzgocggzslocd72zyzxgggy8sgrdngozyy4erj9qjyd1zzzyzy64eeytgok6cgzyzyzy325w111 |
| (-121, -2) | (12, 0) | (-33, 12, -106) | 90 | xq795_yzwg19ezy51w1yl6rn1qc423e4zy5o8sys2zy512221yzyzy5319mwe986zyzyzyk2631zz4eovmyzyzy73ogh97zx1 |
| (-121, -2) | (12, 0) | (-33, 12, -114) | 96 | xq795_yzyzygg8xerqczyzya8s8gyz4f8cbgzyzy7s40okqr1y466yu7553zyzy8111y64erb6z4408oz74421zzzy4mvoe4zy51 |
| (-120, -2) | (12, 2) | (-33, 12, -108) | 92 | xq795_yn63qcm2ezyp111y9gggwg066zyzy316c531zzzzzzydeh13szya433zx1b1zyhgocggzyhslocd72zzzzz68qi8oz274111 |
| (-120, -2) | (12, 2) | (-33, 12, -116) | 91 | xq795_siuy16f9e4yzy6gocggyig844czx1ukii84yzy9slocd72yg322w3zy11zzyngo4sowooyzy28serq8zyo1310c8gzyu1 |
| (-120, -2) | (12, 2) | (-32, 12, -118) | 85 | xq795_8siucy099paeyzy6o88ykg846czw10du0ik8yzy98tj657yh136zy111zzyoo8444yzy6sih13ozyo12221ccg |
| (-121, -1) | (13, 0) | (-33, 13, -102) | 80 | xq795_yzy113ngzyzc80426xd72zy5o8044zy512447yzyzy5319mwe986zyzyzyk2631zz4eiwggyzyzy53ogh97zx131 |
| (-120, -1) | (13, 2) | (-34, 13, -102) | 80 | xq795_yzy013ngzyyc80426xd72zy5o8044zy512447yzyzy5319mwe986zyzyzyk2631zz4eiwggyzyzy53ogh97zx131 |
| (-120, -1) | (13, 2) | (-32, 13, -106) | 88 | xq795_y5ndpkszy4132zzgocggzslocd72zyzxgoy9sgrdngozyz279s9g8yc1zzzyzy64eeytgok6cgzyzyzy325w111 |
| (-120, -1) | (13, 2) | (-31, 13, -120) | 83 | xq795_xgcekoe77yzyzy4ogndrgsydgogz27dyzyzyd1yg46502nazzzy5o843156zy5111zyzy2s4cok6czyzy4323 |
| (-119, -1) | (13, 0) | (-33, 13, -102) | 87 | xq795_yzy113ngzyzc80426xd72zy5o88zy5112c8a6yzyzy3319mwe986zyzyzyk2631zz4ebgwggyzyzy43ogh97zy03721 |
| (-118, -1) | (13, 2) | (-34, 13, -102) | 87 | xq795_yf751sszyb279qaezxsiq24zy11zx4w4zzzzzzzzypc64ogzyoc2611b713zyo325czzzzzyf79hgo3zgocz0124c6 |
| (-118, -1) | (13, 2) | (-32, 13, -106) | 92 | xq795_7tr0mryzy78s68ogyfs2ae8y2izw131yzy8eac6631yf1zzyzywgzyn4e368mi2cyx27dfoo4x333zyp24443 |
| (-118, -1) | (13, 2) | (-31, 13, -120) | 85 | xq795_4eigkko957yzy2ok4cgyngosmkgzx1f8h3yzy8457ym1011zzzyosk40gca0426ooyzeh574y29zyq38og4 |
| (-121, 0) | (14, 0) | (-32, 14, -48) | 84 | xq795_gggwk8yzyo21i7is8z016c531ysgyw31zyx27dd6zyt11366ym2cc0gggzypgyx98847zyo31tmr17 |
| (-120, 0) | (14, 2) | (-33, 14, -104) | 89 | xq795_y5ndpkszy4132zzgocggzslocd72zyygoocksy9sgrdngozyx1364264ye1zzzyzy64eeytgok6cgzyzyzy325w111 |
| (-119, 0) | (14, 0) | (-32, 14, -48) | 85 | xq795_0jjw8c22yzyk424e4ogz35d72yzyq7211zywgc6c8zyt27bcyl4oozyuaoypihh9ezyo7oghe |
| (-115, 0) | (14, 0) | (-32, 14, -48) | 87 | xq1035_0jjw8c22z35d72zywgc6c8zyt27bcyzyzyggog0g39pezyuaoyzyzyi1262zyo7oghezyzyzyzybgogzyzyzyzy7ehgkcqr1 |
| (-122, 1) | (15, 2) | (-33, 15, -104) | 88 | xq795_w7i4s8z12131zzzzyigo8zyjtmj57zzy0373zyhog0o8ozyh6doe71zzzzzzyzy4s31hezyqoc8gyfa3zyo2320131oo |
| (-121, 1) | (15, 0) | (-31, 15, -50) | 84 | xq795_gggwk8yzyo21i7is8z016c531yzyq31zywgc6c8zyt27bcyn2cc0gggzypgyx98847zyo31tmr17 | 
| (-121, 1) | (15, 0) | (-32, 15, -104) | 89 | xq795_y5ndpkszy4132zzgocggzslocd72zyygocc6aey8sgrdngozyz132132yd1zzzyzy64eeytgok6cgzyzyzy325w111 | 
| (-121, 1) | (15, 0) | (-33, 15, -106) | 90 | xq795_w7i4s8z12131zzzzyigo8zyjtmj57zzy0373zyg8kwgggzyg135c61zzzzzzyzy4s31hezyqoc8gyfa3zyo2320131oo | 
| (-120, 1) | (15, 2) | (-33, 15, -104) | 89 | xq795_y5ndpkszy4132zzgocggzslocd72zyxgocc6aey9sgrdngozyy132132ye1zzzyzy64eeytgok6cgzyzyzy325w111 |
| (-121, 2) | (16, 0) | - | - | - |
| (-119, 2) | (16, 0) | - | - | - |
| (-120, 3) | (17, 2) | (-31, 17, -108) | 88 | xq795_ye751sszya279qaezwsiq24zy01zw4w4zzzzzzzzyr8sm4w8gzyseih6443zzzzzzyfehks4y2iz0g0ggz137d51 |
| (-119, 3) | (17, 0) | (-31, 17, -110) | 81 | xq795_ye751sszya279qaezwsiq24zy01zw4w4zzzzzzzzys8s4gggzyteb923zzzzzzyfehks4y2iz0g0ggz137d51 |
| (-120, 5) | (19, 2) | - | - | - |
| (-119, 5) | (19, 0) | (-30, 19, -108) | 86 | xq795_gkmsogyzyvmeo63e4z01101yjgggyzy634442zymeac6rgzyp11z09y2475heyx8k6cke2iszyzy8379s8 |
| (-119, 6) | (20, 0) | - | - | - |
| (-118, 7) | (21, 2) | - | - | - |
| (-116, 9) | (23, 2) | - | - | - |

#### Odd
Plain displacement
| Location | (y, (2x-t)mod4) | Vector | Minpop | apgcode |
|:---:|:---:|:---:|:---:|:---:|
| (-112, -6) | (8, 3) | (-30, 8, -63) | 81 | xq1035_71348ozx321yzyzyi2je40gggyj8w8zyzykoyk2n2s8y86443w3403zy4gogyzy91yh798e4yzy38gniezy41wpe4 |
| (-112, -6) | (8, 3) | (-30, 8, -67) | 78 | xq1035_y9mvoe4zya1zz03hpe0gogz6c43013021zzzzyhgggzyfcob6dgmzzzzzzzzzzzzzzzyyo31hiszyhoc8gzykc72 |
| (-112, -6) | (8, 3) | (-31, 8, -69) | 81 | xq1035_8og097izxkc41i60gogzy2165610472zzzzzzy5gggzy3cob6dgmzzzy1ezzzzzzzzzzzzymo31hiszy5oc8gzy8c72 |
| (-112, -6) | (8, 3) | (-30, 8, -71) | 78 | xq1035_yzytgyzyaog077wgzy0gggyzym3y9s8ggyq8ska41dd210323zckgo423yzyy484e431yqsgp57zzzy84s8zy413621 |
| (-112, -6) | (8, 3) | (-28, 8, -75) | 88 | xq1035_xs8ggyzyl111y78s4gggyls0abbrn6ow27aod31zgg04e431yzyyc2b923ym8pfz11yzyzyz362zzy6i224szy240c80111 |
| (-112, -6) | (8, 3) | (-34, 8, -111) | 87 | xq1035_e9t12yzyzyzyzx8si7i12zyzyzyzs4cgy2o8iqeyv13z2w2yzyzyyc97y0111472zy5gogyzyyszy4132jfczy5oozy511 |
| (-112, -6) | (8, 3) | (-35, 8, -113) | 86 | xq1035_e9t12yzyzyzyzx8smi4mizyzyzyzs4cgy2o44ch9eys11323z2w2yzyzyyc97y012w4d72zy5gogyzyyszy4132jfczy5oozy511 |
| (-112, -6) | (8, 3) | (-34, 8, -115) | 83 | xq1035_yc751sszy8279qaezsiq24zw1z4w4zzzzzzzzzyims8zyd35e61zyd7zzzzzzzzzzzzzyzgggzyyc1089ezyhc648gzyk631 |
| (-121, -2) | (12, 1) | (-34, 12, -101) | 81 | xq795_yzy06984zyyoow4cw1uiezy5o8044zy512447yzyzy5319mwe986zyzyzyk2631zz4eiwggyzyzy53ogh97zx131 |
| (-118, -2) | (12, 3) | (-33, 12, -101) | 93 | xq795_8qres8y9ggcsa8n526yzy6d1mcq36zyg131wsjt77yzy7111zz0gy3gggz04y223287yw8cm40mqezyzy813631 |
| (-118, -2) | (12, 3) | (-33, 12, -105) | 96 | xq795_4e36oemyzy78si4sc8gycgosmkgzw24443yzy7ejipw131yc1011zzzyosi2ekc6k8yxeh574y29zyr8s973 |
| (-118, -2) | (12, 3) | (-34, 12, -107) | 96 | xq795_y5ndpkszy4132zzgocggzslocd72zyzyesgrdngozyyeihh9yf1zyzy0334zzyzy64eeytgok6cgzyzyzy325w111 |
| (-118, -2) | (12, 3) | (-32, 12, -119) | 86 | xq795_4eigkko957yzy3ca768ggykgosmkgzx1f8h3yzya631yk1011zzzyosk40gca0426ooyzeh574y29zyq38og4 |
| (-122, -1) | (13, 3) | (-33, 13, -109) | 92 | xq795_4ebesgyzyzy6o31hiszx211z077yzyzyh8cogzy5gggyzyzy7ogidwei2czy532gf4zy5ohyn8k6cke2iszccy41yo379s8 |
| (-122, -1) | (13, 3) | (-32, 13, -119) | 85 | xq795_y321t9ezzy42w2z8sogz37031zyzyhccxeh13szyzya13doa72w3azzzyzye277yt8smkozyzyzy78862wpp |
| (-120, -1) | (13, 3) | (-33, 13, -109) | 91 | xq795_yzosi72zy51w1yl25c65e897zy5o8szy512221yzyzy5319mwe986zyzyzyk2631zz4eovmyzyzy73ogh97zx1 |
| (-120, -1) | (13, 3) | (-32, 13, -119) | 84 | xq795_yzyzy722c8wjjzyzye8ssyt27d53zzzyzyagom3as8woazyzyh66xehgo7zy08ogz26c421zzzy5p10iezy5111 |
| (-118, -1) | (13, 3) | (-33, 13, -109) | 87 | xq795_yzosi72zyy25c65e897zy5o8044zy512447yzyzy5319mwe986zyzyzyk2631zz4eiwggyzyzy53ogh97zx131 |
| (-118, -1) | (13, 3) | (-32, 13, -119) | 86 | xq795_4eigkko957yzy3okecgymgosmkgzx1f8h3yzyad72yk1011zzzyosk40gca0426ooyzeh574y29zyq38og4 |
| (-121, 0) | (14, 1) | (-32, 14, -101) | 88 | xq795_gkmsogyg888ggyzy6meo63e4z01101yc8ggo604jmdyzy634442zyj1w798czz09y2475heyx8k6cke2iszyzy8379s8 |
| (-121, 0) | (14, 1) | (-33, 14, -103) | 84 | xq795_y5ndpkszy4132zzgocggzslocd72zyxg8w4ms8y8sgrdngozyx3445366ye1zzzyzy64eeytgok6cgzyzyzy325w111 |
| (-121, 0) | (14, 1) | (-34, 14, -105) | 88 | xq795_w7i4s8z12131zzzzyigo8zyjtmj57zzy0373zyfggxgzyf60rmt13zzzzzzyzy4s31hezyqoc8gyfa3zyo2320131oo |
| (-120, 0) | (14, 3) | (-30, 14, -99) | 83 | xq795_yz0g19eyzxo88zyx6rn1qc423e4yx8tj657zy7gyr2zy427cvbyzyzy221i7is8zyzyzyh31zzo8044z12447 |
| (-120, 0) | (14, 3) | (-32, 14, -103) | 91 | xq795_yf751sszyb279qaezxsiq24zy11zx4w4zzzzzzzzyqjh9e0gogzyprmc2061w1zyr111zzzzzyf79hgo3zgocz0124c6 |
| (-120, 1) | (15, 3) | (-32, 15, -103) | 91 | xq795_gkmsogyhggyzy8meo63e4z01101yc8omu54bihjgyzy534442zyj1xe9e33zz09y2475heyx8k6cke2iszyzy8379s8 |
| (-120, 1) | (15, 3) | (-33, 15, -105) | 89 | xq795_y5ndpkszy4132zzgocggzslocd72zyyo8oie4y9sgrdngozyy114516ye1zzzyzy64eeytgok6cgzyzyzy325w111 |
| (-121, 2) | (16, 1) | (-32, 16, -105) | 89 | xq795_y5ndpkszy4132zzgocggzslocd72zyzskcpn2y8sgrdngozyzw2203yd1zzzyzy64eeytgok6cgzyzyzy325w111 |
| (-121, 2) | (16, 1) | (-32, 16, -109) | 91 | xq795_g6224oyzyx2798cogiez1w111yeo0m89m526yzy8aje4zyk111wcr872zy6gzy44dd7e4yxgo6a02acg04s8zyzyd24mv31 |
| (-120, 2) | (16, 3) | (-31, 16, -113) | 80 | xq795_yc4epazy9e91362is8zgo42364z011zzzzzzzzzyrgo8zystmj57zzzzzzyegogoogzyf1362zei20g6zw111 |
| (-121, 3) | (17, 1) | (-31, 17, -107) | 96 | xq795_y5ndpkszy4132zzgocggzslocd72zyzweihh9y7sgrdngozyzy3334y91zzzyzy64eeytgok6cgzyzyzy325w111 |
| (-121, 3) | (17, 1) | (-32, 17, -109) | 91 | xq795_sih13ozyggogzye273662zzzzzytg0gzyrj1ib44rgszyq134d6zzzzzzzzzz279ggo8zy01y4s40gogie4zya119s6kzye1 |
| (-121, 4) | (18, 1) | - | - | - |
| (-120, 4) | (18, 3) | (-31, 18, -109) | 87 | xq795_ye751sszya279qaezwsiq24zy01zw4w4zzzzzzzzytskcoogzyt4eo4631zzzzzzyfehks4y2iz0g0ggz137d51 |
| (-120, 5) | (19, 3) | - | - | - |
| (-119, 7) | (21, 1) | - | - | - |
| (-112, 10) | (24, 3) | - | - | - |
| (-103, 12) | (26, 1) | - | - | - |

Delayed displacement
| Location | (y, (2x-t)mod4) | Vector | Minpop | apgcode |
|:---:|:---:|:---:|:---:|:---:|
| (-130, -4) | (10, 3) | (-30, 10, -71) | 88 | xq1035_o8oyzyp22c8wjjz1wpieydccy1gogyzx27d53zye27cy41320k99ezys1zy4c648gyroazy7631ytehgo7 |
| (-130, -4) | (10, 3) | (-33, 10, -101) | 86 | xq1035_wg8cog0277yzyzy4ogndrgsydgogz274yzyzyd1yg46502nazzzy5o422eyygzy511022yv4uht3wo8ozyzyb66601 |
| (-130, -4) | (10, 3) | (-34, 10, -115) | 94 | xq1035_2npcksyzwe9t12ywo0kmmmecgw4ekgq62z3022yw222yzy21giu01101y11zyzy42w2yz16c4zy5ogzy38g9s972 |
| (-131, -2) | (12, 1) | (-34, 12, -101) | 91 | xq1035_wgogx277yzyzy4ogndrgsydgogz271f6yzyzyb1yg46502nazzzy5o4k48zy5113ywgo4mczy58w8yw3230oor17 |
| (-131, 0) | (14, 1) | (-32, 14, -101) | 86 | xq1035_w7i4s8z12131zzzzyigo8zyjtmj57zzy0373zyieabis8zyf77gkszzzzzzzyzy4g6224ozyqgogya1w111zyq1wpe4 |
| (-131, 0) | (14, 1) | (-33, 14, -103) | 92 | xq1035_y321i7is8zy531zyxeyzy8gzo088yysiuyzy0jh9e4z8tj657yz18893yy3252gp344g8cozyzyzy9101w6c |
| (-131, 0) | (14, 1) | (-34, 14, -105) | 93 | xq1035_y321i7is8zy531zyxeyzy8gogzo088yysiuyzy0hhg9aukz8tj657yz18893yy32252cw4wc6c8zyzyzyc114w4 |
| (-131, 2) | (16, 1) | (-32, 16, -105) | 89 | xq1035_yn4erpibpyzy88socc8zyr111yngse3mcyg131zyzyi323013zy444zski6ky58ogyzyx79hgo3zx231x1446331 |
| (-131, 2) | (16, 1) | (-32, 16, -109) | 90 | xq1035_go8yzyzy8g441wh0ggzo5mj57yzwg88oyxeaalip801w131zye808syk74089yx4coc231zzy5e48ogzy3242721 |
| (-128, 3) | (17, 3) | - | - | - |

### (-20, -19, -38) + (-25, 9, -74)
#### Even
| Location | (y, (2x-t)mod4) | Vector | Minpop | apgcode |
|:---:|:---:|:---:|:---:|:---:|
| (-103, -12) | (5, 0) | (-33, 5, -62) | 83 | xq1035_4eigo651053c8yoo4226gzx1fb21yt111w1yzyzy7eihh9zy9o88yzyzyz0gy24602zy9112c8a6yzyzyvdv3e4 |
| (-103, -12) | (5, 0) | (-34, 5, -64) | 80 | xq1035_4ebgg0642013yro4226gzy0ec8yw111w1yzyzy7eihh9zy9o4syzyzyzxgy24602zy91112ggi6yzyzywdv3e4 |
| (-103, -12) | (5, 0) | (-33, 5, -66) | 80 | xq1035_gggyzyzyb6324ogyx9hhiezjq1jre4yzyzya31yv433z013wo88gyzyzyz0e48ogzwea9w11yzyzyxoo02721 |
| (-103, -12) | (5, 0) | (-32, 5, -68) | 80 | xq1035_gggyzyzybgkmsogyx9hhiezjq1jre4yzyzy81101yv433z013wo88gyzyzyz0e48ogzwea9w11yzyzyxoo02721 |
| (-103, -12) | (5, 0) | (-31, 5, -70) | 88 | xq1035_gggyzyzy4oooy2ocogyx9hhiezjq1jre4yzyzy6166331yv433z013wo88gyzyzyz0e48ogzwea9w11yzyzyxoo02721 |
| (-103, -12) | (5, 0) | (-30, 5, -72) | 89 | xq1035_ow8g661z16443zzyzyzyzywskc08cogzyx8cy1gggwgyzyzym37c63zyn13doa72y65gg02zyzy1coc7yzyqo8ozyzyzyweipw1 |
| (-103, -12) | (5, 0) | (-29, 5, -74) | 102 | xq1035_yzyzyx27erb2zyzy0skkozyocaaegy3fpdk8cogzysc840ejx232131yzyzypgc44ozyzyzyzyx3w2104ogzzgocoz08o03026ezc9 |
| (-116, -3) | (14, 2) | (-33, 14, -104) | 101 | xq795_7oghexgc4ks4kogyz0o88yie224oy88s4i7zy38h28672q1yz08tj657yg22011ya13121zy624461yzy58ss |
| (-121, -2) | (15, 0) | (-31, 15, -50) | 92 | xq1035_y9g0cgica4cyzyzyzy0mvoe4zy9323wpmge4yq7i4s8yzyzy41y24c08zxgyb1yr12131yzyzy8e9hhiz4e51508cozy13221 |
| (-121, -2) | (15, 0) | (-32, 15, -104) | 92 | xq795_13doa72wo6nrbba0syygocggyjosms8ybe9fgw64w33zyafp8yzslocd72yg334yh42iczy8263yzyae404yaee |
| (-121, -2) | (15, 0) | (-33, 15, -106) | 93 | xq795_0jjw8c22z35d72yzy4os7xgyzy4eigoc8972zyzyd6f972yzy54ejazyzyugggzyuaoyve8d6boczyo7oghe |
| (-120, -2) | (15, 2) | (-33, 15, -104) | 92 | xq795_4u9ie6kogz799cx1zyzyagggyzy9c6koc2qzyzy910e47yzya323zzygooox433ums8yg1w1yag8cozyq1yy27c |
| (-121, -1) | (16, 0) | - | - | - |
| (-120, -1) | (16, 2) | (-32, 16, -106) | 94 | xq795_13doa72wo6nrbba0sywccwgylosms8ybe9fgw64w33zyafp8yz0pj9e4yh334yh42iczy8263yzx1y6e404yaee |
| (-119, -1) | (16, 0) | - | - | - |
| (-118, -1) | (16, 2) | (-32, 16, -106) | 95 | xq795_13doa72wo6nrbba0sywccwgylqv6s8y9eihh9zyafp8yz0pj9e4yj1yh334zy8263yzx1y4e404 |
| (-121, 0) | (17, 0) | (-31, 17, -110) | 94 | xq795_0jjw8c22z35d72yzy4gyzyaeigoc8972zyzy72311is8yzy94ejazyzyugggzyuaoyve8d6boczyo7oghe |
| (-120, 0) | (17, 2) | (-31, 17, -108) | 91 | xq795_y9751u8yy8s4gggy1277zwg888gy1g021yzweb923yk880ggyagog8gz8sgo4qjgcyzyye8843y82749szw1 |
| (-119, 0) | (17, 0) | (-31, 17, -110) | 87 | xq795_y9e9t12yzgo8y34eezy0o88yzy8tmj57zgo8gh96p9kyzyxo80g957y64erpibpz01262w23yzyz111yd111 |
| (-115, 0) | (17, 0) | (-31, 17, -110) | 95 | xq795_6bre4xg8ck844oyzynkucogy9s422izy36foaipqi1yu46324ogyl1301yb1110668zy613621yz11y4s808 |
| (-122, 1) | (18, 2) | - | - | - |
| (-121, 1) | (18, 0) | - | - | - |
| (-120, 1) | (18, 2) | - | - | - |
| (-121, 2) | (19, 0) | (-30, 19, -108) | 91 | xq795_y9751u8yx2npcksy2277zwg888gy1g021yz0322yn880ggyagog8gz8sgo4qjgcyzyye8843y82749szw1 |
| (-119, 2) | (19, 0) | (-30, 19, -108) | 96 | xq795_13doa72wo6nrbba0syugyrqv6s8y9eihh9zyafp8ytce3wgogyn1yh334zy8263yz37431y3e404 |
| (-120, 3) | (20, 2) | - | - | - |
| (-119, 3) | (20, 0) | - | - | - |
| (-120, 5) | (22, 2) | - | - | - |
| (-119, 5) | (22, 0) | - | - | - |
| (-119, 6) | (23, 0) | - | - | - |
| (-118, 7) | (24, 2) | - | - | - |
| (-116, 9) | (26, 2) | - | - | - |

#### Odd
Plain displacement
| Location | (y, (2x-t)mod4) | Vector | Minpop | apgcode |
|:---:|:---:|:---:|:---:|:---:|
| (-112, -6) | (11, 3) | (-33, 11, -101) | 95 | xq1035_8serq8zzyzgw2je4zyzx11ho62isyzyzytqv6s8y9eihh9zyzy016661yzyzyw1yh334zyzyzyzyme404zyzx2064zyzyjsiuzyzym18893 |
| (-112, -6) | (11, 3) | (-33, 11, -109) | 99 | xq1035_y1gg9e4zw7okcqgc319ezzzzzyzyzyzym655788ozyzyzyh8s4yz04eralbm3y0o88gzyzyzyj12631yzy028x1111zz8s4i7zw13121 |
| (-112, -6) | (11, 3) | (-33, 11, -113) | 97 | xq1035_8si7i12zx13zzyzyzyj8s6vqywgok4sk4cgxehgo7zyzyzym1yy1q27682h8zyzyzy7siuyzy916442zyzyzya1123zyj880ggzyje8843 |
| (-112, -6) | (11, 3) | (-32, 11, -115) | 92 | xq1035_y284dvogz013ca08a610472zzzzyzyzyl8w8yyoc8zyzyzyzym2juzyzyzyleing8yu70aqqrtc3w8sa3mogzzxggzea6cbhzw1101 |
| (-112, -6) | (11, 3) | (-33, 11, -117) | 95 | xq1035_g0e9h12gz122303631zyzw8u157yj4eja0ogzyzy012gye75tqrx121y366311yzyz0gggydgggzyzy131y3ooytsyzyx3201iksy64erj9qj |
| (-121, -2) | (15, 1) | (-32, 15, -105) | 92 | xq795_13doa72wo6nrbba0syzo88ykosms8ybe9fgw64w33zyafp8yz8tj657yh334yh42iczy8263yzyae404yaee |
| (-118, -2) | (15, 3) | (-32, 15, -103) | 93 | xq795_7oghexgc4ks4kogyzgoyke224oy88s4i7zy38h28672q1yzpbgpre4yg22011ya13121zy624461yz0111y18ss |
| (-118, -2) | (15, 3) | (-33, 15, -105) | 92 | xq795_13doa72wo6nrbba0syz0o88yjqv6s8y9eihh9zyafp8yz08tj657yi1yh334zy8263yzy8e404 |
| (-122, -1) | (16, 3) | (-31, 16, -113) | 89 | xq795_s356b16ogieyzyagggyus0abbrn6ow27aod31zx11ie4yzybe90gjyv8pfzyzwgggyzyh362zyzcob6d8e |
| (-120, -1) | (16, 3) | (-31, 16, -113) | 95 | xq795_0jjw8c22z35d72yzyzyjeigoc8972zyzy721t9eyzyb4ejazyzyugggzyuaoyb2w2yce8d6boczyo7oghe |
| (-118, -1) | (16, 3) | (-31, 16, -113) | 89 | xq795_13doa72wo6nrbba0syugggyposms8ybe9fgw64w33zyafp8yvjg09eym334yh42iczy8263yzyae404yaee |
| (-121, 0) | (17, 1) | (-31, 17, -107) | 93 | xq795_y9751u8yyskcoogy1277zwg888gy1g021yz04eo4631yj880ggyagog8gz8sgo4qjgcyzyye8843y82749szw1 |
| (-121, 0) | (17, 1) | (-32, 17, -109) | 93 | xq795_y84ebesgyzgo8y5e404zxgogy5211yz0tmj57ylgyhoo4zo80g9k7egyzyzbvc72y9e9hhiz12231131 |
| (-120, 0) | (17, 3) | - | - | - |
| (-120, 1) | (18, 3) | (-31, 18, -109) | 90 | xq795_y9751u8yze48ogy1277zwg888gy1g021yyoo02721yl880ggyagog8gz8sgo4qjgcyzyye8843y82749szw1 |
| (-121, 2) | (19, 1) | (-14, 19, 55) | 83 | xq795_eai08650213ccyzyzytgggwgw33zw14c82yzyzyz016c531zy8goczy9112csa6zyzyzy4sih13ozyxiy24skhe |
| (-120, 2) | (19, 3) | - | - | - |
| (-121, 3) | (20, 1) | - | - | - |
| (-121, 4) | (21, 1) | - | - | - |
| (-120, 4) | (21, 3) | - | - | - |
| (-120, 5) | (22, 3) | - | - | - |
| (-119, 7) | (24, 1) | - | - | - |
| (-112, 10) | (27, 3) | - | - | - |
| (-103, 12) | (29, 1) | - | - | - |

Delayed displacement
| Location | (y, (2x-t)mod4) | Vector | Minpop | apgcode |
|:---:|:---:|:---:|:---:|:---:|
| (-130, -4) | (13, 3) | (-33, 13, -109) | 79 | xq1035_4ck08tayzy3oi22gyzyegggwk8zw131yzyaf97yzyc16c531zzzyooc8go8oyzxsih13ozyq75601 |
| (-130, -4) | (13, 3) | (-32, 13, -119) | 84 | xq1035_y7sih13ozzy1goc8zc2iewdigoyzyzyaokecgy8g8w4ms8zyzyqogywd72y53445366zyzynco8431 |
| (-131, -2) | (15, 1) | (-32, 15, -105) | 76 | xq1035_13doa72wo6nrbba0syzo88yzybeqm04mc8zyafp8yz8tj657yzya13631zy8263zyzyygc4szyzyw79c |
| (-131, 0) | (17, 1) | (-31, 17, -107) | 81 | xq1035_eihh9yzyzy88c648gy8o8oie4zy1334yzyzy9231y7114516zy8go84eyzy166zy912720ooyz06bre4 |
| (-131, 0) | (17, 1) | (-32, 17, -109) | 79 | xq1035_4ck08tayzyzyqgggwk8zw131yzy4c9118gggyzyd16c531zyzye743zzyooc8go8oyzxsih13ozyq75601 |
| (-131, 2) | (19, 1) | (-14, 19, 55) | 79 | xq1035_ype01jykeyzy34a3ukzyt7553yzym798ezzyzyzymogkczyxgggzyxjq1jre4yzys8sq6z2npcksys13yzyz16c62z3022 |
| (-128, 3) | (20, 3) | - | - | - |

### (-8, -18, 1) + (-33, 6, -68)
#### Even
| Location | (y, (2x-t)mod4) | Vector | Minpop | apgcode |
|:---:|:---:|:---:|:---:|:---:|
| (-103, -12) | (10, 2) | (-31, 10, -68) | 102 | xq1035_yzywogn1rczg0eqm0oyzyqhy3oyzy146ri0rt7z1310122yzyo7so0gyyggy9131zyzyx131yu4co8431zy7gzy48cb15ekzy91 |
| (-116, -3) | (19, 0) | (-30, 19, -108) | 83 | xq795_yzyy79hgo3zzzyfea2sgyx4eio8oydgocz0gggyc421yz75411ye124c6z322340ooy736zgh3y1111z11 |
| (-121, -2) | (20, 2) | - | - | - |
| (-120, -2) | (20, 0) | - | - | - |
| (-121, -1) | (21, 2) | - | - | - |
| (-120, -1) | (21, 0) | - | - | - |
| (-119, -1) | (21, 2) | - | - | - |
| (-118, -1) | (21, 0) | - | - | - |
| (-121, 0) | (22, 2) | - | - | - |
| (-120, 0) | (22, 0) | - | - | - |
| (-119, 0) | (22, 2) | - | - | - |
| (-115, 0) | (22, 2) | - | - | - |
| (-122, 1) | (23, 0) | - | - | - |
| (-121, 1) | (23, 2) | - | - | - |
| (-120, 1) | (23, 0) | - | - | - |
| (-121, 2) | (24, 2) | - | - | - |
| (-119, 2) | (24, 2) | - | - | - |
| (-120, 3) | (25, 0) | - | - | - |
| (-119, 3) | (25, 2) | - | - | - |
| (-120, 5) | (27, 0) | - | - | - |
| (-119, 5) | (27, 2) | - | - | - |
| (-119, 6) | (28, 2) | - | - | - |
| (-118, 7) | (29, 0) | - | - | - |
| (-116, 9) | (31, 0) | - | - | - |

#### Odd
Plain displacement
| Location | (y, (2x-t)mod4) | Vector | Minpop | apgcode |
|:---:|:---:|:---:|:---:|:---:|
| (-112, -6) | (16, 1) | (-32, 16, -109) | 85 | xq1035_yzyzyzyzw8qres8zzzyvogndrgsytgyzyzy9o88gzyw1yy3yzyzy86w447zzyzyluisz0c64ogyzya39881zc2611b713z325c |
| (-121, -2) | (20, 3) | - | - | - |
| (-118, -2) | (20, 1) | - | - | - |
| (-122, -1) | (21, 1) | - | - | - |
| (-120, -1) | (21, 1) | - | - | - |
| (-118, -1) | (21, 1) | - | - | - |
| (-121, 0) | (22, 3) | - | - | - |
| (-120, 0) | (22, 1) | - | - | - |
| (-120, 1) | (23, 1) | - | - | - |
| (-121, 2) | (24, 3) | - | - | - |
| (-120, 2) | (24, 1) | - | - | - |
| (-121, 3) | (25, 3) | - | - | - |
| (-121, 4) | (26, 3) | - | - | - |
| (-120, 4) | (26, 1) | - | - | - |
| (-120, 5) | (27, 1) | - | - | - |
| (-119, 7) | (29, 3) | - | - | - |
| (-112, 10) | (32, 1) | (-15, 32, 85) | 76 | xq795_yc8serq8zyzyzyrs448gzyzyzyr44023zxgoz279s9g8zyzyzyjqv6s8zyzyzyk1zyxgzyvmr1neozyv1w111 |
| (-103, 12) | (34, 3) | - | - | - |

Delayed displacement
| Location | (y, (2x-t)mod4) | Vector | Minpop | apgcode |
|:---:|:---:|:---:|:---:|:---:|
| (-130, -4) | (18, 1) | - | - | - |
| (-131, -2) | (20, 3) | - | - | - |
| (-131, 0) | (22, 3) | - | - | - |
| (-131, 2) | (24, 3) | - | - | - |
| (-128, 3) | (25, 1) | - | - | - |

### (-20, -19, -38) + (-33, 6, -68)
#### Even
| Location | (y, (2x-t)mod4) | Vector | Minpop | apgcode |
|:---:|:---:|:---:|:---:|:---:|
| (-103, -12) | (13, 2) | - | - | - |
| (-116, -3) | (22, 0) | - | - | - |
| (-121, -2) | (23, 2) | - | - | - |
| (-120, -2) | (23, 0) | - | - | - |
| (-121, -1) | (24, 2) | - | - | - |
| (-120, -1) | (24, 0) | - | - | - |
| (-119, -1) | (24, 2) | - | - | - |
| (-118, -1) | (24, 0) | - | - | - |
| (-121, 0) | (25, 2) | - | - | - |
| (-120, 0) | (25, 0) | - | - | - |
| (-119, 0) | (25, 2) | - | - | - |
| (-115, 0) | (25, 2) | - | - | - |
| (-122, 1) | (26, 0) | - | - | - |
| (-121, 1) | (26, 2) | - | - | - |
| (-120, 1) | (26, 0) | - | - | - |
| (-121, 2) | (27, 2) | - | - | - |
| (-119, 2) | (27, 2) | - | - | - |
| (-120, 3) | (28, 0) | - | - | - |
| (-119, 3) | (28, 2) | - | - | - |
| (-120, 5) | (30, 0) | - | - | - |
| (-119, 5) | (30, 2) | - | - | - |
| (-119, 6) | (31, 2) | - | - | - |
| (-118, 7) | (32, 0) | - | - | - |
| (-116, 9) | (34, 0) | - | - | - |

#### Odd
Plain displacement
| Location | (y, (2x-t)mod4) | Vector | Minpop | apgcode |
|:---:|:---:|:---:|:---:|:---:|
| (-112, -6) | (19, 1) | (-14, 19, 55) | 98 | xq795_yzx9y2475heyse2mcq36zyzyzy6111zyegg867acyzyzyh4e9ggzxgogy7136yzyzyje913cgqcko7zo80g9k7egz12231131 |
| (-121, -2) | (23, 3) | - | - | - |
| (-118, -2) | (23, 1) | - | - | - |
| (-122, -1) | (24, 1) | - | - | - |
| (-120, -1) | (24, 1) | - | - | - |
| (-118, -1) | (24, 1) | - | - | - |
| (-121, 0) | (25, 3) | - | - | - |
| (-120, 0) | (25, 1) | - | - | - |
| (-120, 1) | (26, 1) | - | - | - |
| (-121, 2) | (27, 3) | - | - | - |
| (-120, 2) | (27, 1) | - | - | - |
| (-121, 3) | (28, 3) | - | - | - |
| (-121, 4) | (29, 3) | - | - | - |
| (-120, 4) | (29, 1) | - | - | - |
| (-120, 5) | (30, 1) | - | - | - |
| (-119, 7) | (32, 3) | - | - | - |
| (-112, 10) | (35, 1) | - | - | - |
| (-103, 12) | (37, 3) | - | - | - |

Delayed displacement
| Location | (y, (2x-t)mod4) | Vector | Minpop | apgcode |
|:---:|:---:|:---:|:---:|:---:|
| (-130, -4) | (21, 1) | - | - | - |
| (-131, -2) | (23, 3) | - | - | - |
| (-131, 0) | (25, 3) | - | - | - |
| (-131, 2) | (27, 3) | - | - | - |
| (-128, 3) | (28, 1) | - | - | - |