This is the correct way to do the arpeggios in the beginning.I've listened to both 
Synyster's part 
and Zacky's part many times and this is how it should sound.

Tuning:Drop D  Song:Burn It Down  Album:City Of Evil(2005)

Key= b=Bend,(17) or (14) means to bend up to that note


Synyster

|--12--------12-10-------10--|-12------12-13-10----13------|
|--------13-----------12-----|------13----------12---------|
|-----12-----------12--------|----14-----------------------| X2
|----------------------------|-----------------------------|
|----------------------------|-----------------------------|
|----------------------------|-----------------------------|

Zacky
    
|---8-------8--7--------7----|--8-------8--10--7----10-----|
|--------10-----------8------|-------10-----------8--------|
|------9------------9--------|----10-----------------------| X2
|----------------------------|-----------------------------|
|----------------------------|-----------------------------|
|----------------------------|-----------------------------|
        
Synyster

|---8-------8-10----13-10-----|--12-------12-13------------|
|--------10------12-----------|--------13-------12-15------|
|------9----------------------|-----14---------------------|
|-----------------------------|----------------------------|
|-----------------------------|----------------------------|
|-----------------------------|----------------------------|

Zacky

|--5------5---7-----10--7-8---|--------8--10---------------|
|-------6--------8------------|-----10-----------12--------|
|-----5-----------------------|---9-----------12-----------|
|-----------------------------|----------------------------|
|-----------------------------|----------------------------|
|-----------------------------|----------------------------|

Synyster

|-17-15-------15-------15-----|----------------------------|
|---------17------17------17--|-13-------13-12-------12-10~|
|------17------------17-------|-------14----------12-------|
|-----------------------------|----14----------14----------|
|-----------------------------|----------------------------|
|-----------------------------|----------------------------|

Zacky

|-13-12-------12-15-12-/19--15-|-17-----12-10--------------|
|----------13------------------|------13---------12-15-13~-|
|-------12---------------------|----14--------12-----------|
|------------------------------|---------------------------|
|------------------------------|---------------------------|
|------------------------------|---------------------------|

Synyster

|--------------------------|-------------------------|
|----15b(17)~--------------|-------------------------|
|--------------------------|-------------------------|
|--------------------------|-------------------------|
|--------------------------|-------------------------|
|--------------------------|-------------------------|

Zacky

|--------------------------|-------------------------|
|--------------------------|-------------------------|
|----12b(14)~--------------|-------------------------|
|--------------------------|-------------------------|
|--------------------------|-------------------------|
|--------------------------|-------------------------|