Internet Table-Top Rally Championship 1998
Route Card 18 Solution

TC18 (Out) @ 297.5 206
TC19 (In) @ last instruction

via

1001010000001110010,  4DB29,   123345(anag.),  9!-62654,  zweineunvierzweieinsacht,   301480.3623098*sin(65), 279552 | 694,  374687 & 420861

then avoid

223222322 670877077 443675174 222242523 789828292 004877809 333 007

then via

log(264289)*48743.11047951,    63.2711917408^3, XCBHG, Map*1203+Map-89, "16501725"-10"16691765"+1, Sample Reference-200800, 3421010055/3351012037/3205311700/3502312000/3500013062/3205011800, West London/Plymouth & Launceston, x/x+2/x+4/x/x+3/x-1

Route Checks:
1) 10 figure MR of furthest point on route from TC18 (out)
2) Total times under bridges
3) GS of most Northerly junction on route
4) Sum of SHs on route
5) Number of times over M5 motorway
6) Number of 'black' telephones visited
7) Number of times under ETLs
8) Number of times yellow road joined from white road
9) Number of times white road joined from yellow road
10) Number of gradients arrows passed over

TC19 (In) @ 246 251

All clues were map references as follows

via

303218 (binary),  318249 (hexadecimal), 314253 (anagram),  300226 (9 factorial-62654),  294218 (German),  273234 (sine calculation),  280246 (OR'd),  271261 (AND'd)

avoid (unpunctuated groups of MR digits)

264270,  274280,  303294,  286288, 27742730,  275287,  30152830,  277290,  27432937

via

264289( log calculation), 253290 (cubed calculation), 243287 (alphabetic substitution), 232283 (Map=193 calculation), 269281 (SH279-10,TP280+1), 255263 (456063-200800), 257258 (Blue grid numbers), 176201 (Map numbers), 246251 (x=2)

The via of 176201 was meant to take you down the motorway to junction 26, a yellow loop and then back again. However, Dave Bell found a shorter route by coming off at the Services, to 176201 and then rejoining the M5 at junction 26; Jeremy Rodgers also came off at the Services but returned along the A38. Not sure whether that was strictly allowed but there's no rule against it, so I had to accept the answers. The alternative answers to affected RCs are shown below {thus}.

Route Check Answers:
1) As you join the yellow just after you come off the M5. For ten figures I wanted 8 figure accuracy and the full grid digits, so 31647 11984 (plus or minus 3 in the last digits) was what I was looking for. This is mesurably more West than when you rejoin the M5 just to the North. {31649 12007}
2) Tricky. I wanted 22. There's one at the start of the section, a white bridge before you join the M5 (going under the M5 shouldn't count because it's a Viaduct! - arguable), 10 bridges x 2 for there and back along the M5. The footbridge counts. I deemed that the Service Area should too because of the bridge symbol? to the South. A bit arguable that one too. So I accepted any answer from 20 to 23. {18 to 20}
3) 3029. Don't forget to ignore NTRs.
4) 17, 55, 48, 18, 16, 8, 18, 14, 25, 47, 13, 22, 32, 37, 12, 65 = 447
5) 2
6) 3. The telephones in 2727 (up yellow) and 2928 (up white) were off-route.
7) 2
8) 6
9) 10. Don't forget the tiny one coming of the A road in 2723 and the white shortcut off the motorway near the end. {11}
10) 1