Varoufakis suggested a slightly different variation on Milios' plan. He too wanted the ECB to accept a zero-coupon perpetual, but one with GDP warrants attached. These are payments a debtholder receives that are tied to a country's GDP growth, and have been used in sovereign debt restructurings in the past. The holder of the warrants gets paid when the economy grows.
What does the ECB think of these ideas? That's unknown as yet, as a spokesperson for the central bank declined to comment on anything related to Greece until after the results of the elections were known.
But the suggestion that a Syriza government may not want to pay back the ECB on time puts Greece in a tenuous position when it comes to the central bank's newly announced quantitative easing program.
During last Thursday's press conference, Mario Draghi said: "There are obviously some conditions before we can buy Greek bonds."
Read MoreECB stimulus may ease Greek concerns
Greek bonds will be excluded from the new program until at least July, Draghi explained, because the bank already owns so much Greek debt that it exceeds ownership limits. Draghi implied however that once Greece pays back the bonds due in July, the country's debt will become eligible for the program.
However, Draghi also said the country must be in compliance with the bailout program imposed by the IMF and the European Commission on the country—a program that Tsipras has also promised to renegotiate.
Syriza risks overplaying its hand, said International Capital Strategies' Rediker. "Given that the ECB controls the liquidity of the Greek banking system, and also serves as its regulator through the SSM (Single Supervisory Mechanism), going toe-to-toe with the ECB is one battle that could end very badly for the Greek government."
If the ECB were to stop funding the liquidity of the Greek banks, the banks could collapse—an event that could lead to Greece abandoning the euro and printing its own money once more.
Milios didn't believe it would come to that, saying, "No one wants a collapse of banks in the euro zone. This is going to be Lehman squared or to the tenth. No one wants to jeopardize the future of the euro zone."
Meanwhile, the Syriza team's plans don't stop with the ECB. Syriza wants a writedown of the nearly 200 billion euros in loans from the European Financial Stability Fund and other European governments that Greece has received.
However, the European Commission has long said that a writedown is out of the question—although lower interest rates and longer maturities are a possibility, as long as Greece sticks to the terms of its bailout program.
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