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Joe wrote 5x4x3x2x1 and read aloud, "One hundred and twenty."

"You see? One always encounters jumps of that size when dealing with permutations and combinations. But, as I say, administrators as a rule aren't aware of this. Korzybski pointed out, back in the early thirties, that nobody should ever directly supervise more than four subordinates, because the twenty-four possible coalitions ordinary office politics can create are enough to tax any brain. When it jumps up to one hundred and twenty, the administrator is lost. That, in essence, is the sociological aspect of the mysterious Law of Fives. The Illuminati always has five leaders in each nation, and five international Illuminati Primi supervising all of them, but each runs his own show more or less independent of the other four, united only by their common commitment to the Goal of Gruad." Hagbard paused to relight his long, black Italian cigar.

"Now," he said, "put yourself in the position of the head of any counterespionage organization. Imagine, for instance, that you're poor old McCone of the CIA at the time of the first of the New Wave of Illuminati assassinations, ten years ago, in sixty-three. Oswald was, of course, a double agent, as everybody always knew. The Russians wouldn't have let him out of Russia without getting a commitment from him to do 'small jobs,' as they're called in the business, although he'd be a 'sleeper.' That is, he'd go about his ordinary business most of the time, and only be called on occasionally when he was in the right place at the right time for a particular 'small job.' Now, of course, Washington knows this; they know that no expatriate comes back from Moscow without some such agreement And Moscow knows the other side: that the State Department wouldn't take him back unless he accepted a similar status with the CIA. Then, November twenty-second, Dealy Plaza-blam! the shit hits the fan. Moscow and Washington both want to know, the sooner the quicker, who was he working for when he did it, or was it his own idea? Two more possibilities loom at once: could a loner with confused politics like him have been recruited by the Cubans or the Chinese? And, then, the kicker: could he be innocent? Could another group- to avoid the obvious, let's call them Force X- have stage-managed the whole thing? So, you've got MVD and CIA and FBI and who-all falling over each other sniffing around Dallas and New Orleans for clues. And Force X gets to seem more and more implausible to all of them, because it is intrinsically incredible. It is incredible because it has no skeleton, no shape, no flesh, nothing they can grab hold of. The reason is, of course, that Force X is the Illuminati, working through five leaders with five times four times three times two times one, or one hundred and twenty different basic vectors. A conspiracy with one hundred and twenty vectors doesn't look like a conspiracy: it looks like chaos. The human mind can't grasp it, and hence declares it nonexistent. You see, the Illuminati is always careful to keep a random element in the one hundred and twenty vectors. They didn't really need to recruit both the leaders of the ecology movement and the executives of the worst pollution-producing corporations. They did it to create ambiguity. Anybody who tries to describe their operations sounds like a paranoid. What clinched it," Hagbard concluded, "was a real stroke of luck for the Weishaupt gang: there were two other elements involved, which nobody had planned or foreseen. One was the Syndicate."

"It always starts with nonsense," Simon is telling Joe in another time-track, between Los Angeles and San Francisco, in 1969. "Weishaupt discovered the Law of Fives while he was stoned and looking at one of those shoggoth pictures you saw in Arkham. He imagined the shoggoth was a rabbit and said, 'du hexen Hase,' which has been preserved as an in-joke by Illuminati agents in Hollywood. It runs through the Bugs Bunny cartoons: 'You wascal wabbit!' But out of that schizzy mixture of hallucination and logomania, Weishaupt saw both the mystic meaning of the Five and its pragmatic application as a principal of international espionage, using permutations and combinations that I'll explain when we have a pencil and paper. That same mixture of revelation and put-on is always the language of the supra-conscious, whenever you contact it, whether through magic, religion, psychedelics, yoga, or a spontaneous brain nova. Maybe the put-on or nonsense part comes by contamination from the unconscious, I don't know. But it's always there. That's why serious people never discover anything of real importance."

"You mean the Mafia?" Joe asks.

"What? I didn't say anything about the Mafia. Are you in another time-track again?"

"No, not the Mafia alone," Hagbard says. "The Syndicate is much bigger than the Maf." The room returns to focus: it is a restaurant. A seafood restaurant. On Biscayne Avenue, facing the bay. In Miami. In 1973. The walls are decorated with undersea motifs, including a huge octopus. Hagbard, undoubtedly, had chosen this meeting place just because he liked the decor. Crazy bastard thinks he's Captain Nemo. Stilclass="underline" we've got to deal with him. As John says, the JAMs can't do it alone. Hagbard, grinning, seemed to be noting Joe's return to present time. "You're reaching the critical stage," he said changing the subject. "You now only have two mental states: high on drugs and high without drugs. That's very good. But as I was saying, the Syndicate is more than just the Maf. The only Syndicate, up until October twenty-third, nineteen thirty-five, was nothing more than the Mafia, of course. But then they killed the Dutchman, and a young psychology student, who also happened to be a psychopath with a power drive like Genghis Khan, was assigned to do a paper on how the Dutchman's last words illustrate the similarity between somatic damage and schizophrenia. The Dutchman had a bullet in his gut while the police interviewed him, and they recorded everything he said, but on the surface it was all gibberish. This psychology student wrote the paper that his professor expected, and got an A for the course- but he also wrote another interpretation of the Dutchman's words, for his own purposes. He put copies in several bank vaults- he came from one of the oldest banking families in New England, and he was even then under family pressure to give up psychology and go into banking. His name was (Robert Putney Drake visited Zurich in 1935. He personally talked to Carl Jung about the archetypes of the collective unconscious, the I Ching, and the principle of synchronicity. He talked to people who had known James Joyce before that drunken Irish genius had moved to Paris, and learned much about Joyce's drunken claims to be a prophet. He read the published portions of Finnegans Wake and went back for further conversations with Jung. Then he met Hermann Hesse, Paul Klee and the other members of the Eastern Brotherhood and joined them in a mescaline ritual. A letter from his father arrived about then, asking when he was going to give up wasting his time and return to Harvard Business School. He wrote that he would return for the fall semester, but not to study business administration. A great psychologist was almost born then, and Harvard might have had its Timothy Leary scandal thirty years earlier. Except for Drake's power drive.)

I. THE FAUST PARSON, SINGULAR. Napalm sundaes for How Chow Mein, misfortune's cookie.

Josephine Malik lies trembling on the bed, trying to be brave, trying to hide her fear. Where, now, is the mask of masculinity?

This delusion that you are a man trapped in a woman's body can only be cured one way. I might be kicked out of the American Psychoanalystical Association if they knew about my methods. In fact, already had a spot of bother with them when one of my patients cured his Oedipus complex by actually fucking his mother, convincing himself extensionally as the semanticists would say that she really was an old lady and not the woman he remembered from infancy. Nevertheless, the whole world is going bananas as you must have observed, my poor girl, and we have to use heroic measures to save whatever sanity remains in any patient we encounter. (The psychiatrist is now naked. He joins her on the bed.) Now, my little frightened dove, I will convince you that you really are a true-born, honest-to-God woman…