Read the following texts and table with financial data from an S&P 500 earnings report carefully.Based on the question-answer history (if provided), answer the last question. The answer may require mathematical calculation based on the data provided.


american tower corporation and subsidiaries notes to consolidated financial statements 2014 ( continued ) basis step-up from corporate restructuring represents the tax effects of increasing the basis for tax purposes of certain of the company 2019s assets in conjunction with its spin-off from american radio systems corporation , its former parent company . at december 31 , 2003 , the company had net federal and state operating loss carryforwards available to reduce future taxable income of approximately $ 0.9 billion and $ 1.5 billion , respectively . if not utilized , the company 2019s net operating loss carryforwards expire as follows ( in thousands ) : . <table class='wikitable'><tr><td>1</td><td>years ended december 31,</td><td>federal</td><td>state</td></tr><tr><td>2</td><td>2004 to 2008</td><td>$ 1451</td><td>$ 483578</td></tr><tr><td>3</td><td>2009 to 2013</td><td>12234</td><td>66666</td></tr><tr><td>4</td><td>2014 to 2018</td><td>10191</td><td>235589</td></tr><tr><td>5</td><td>2019 to 2023</td><td>903010</td><td>728139</td></tr><tr><td>6</td><td>total</td><td>$ 926886</td><td>$ 1513972</td></tr></table> sfas no . 109 , 201caccounting for income taxes , 201d requires that companies record a valuation allowance when it is 201cmore likely than not that some portion or all of the deferred tax assets will not be realized . 201d at december 31 , 2003 , the company has provided a valuation allowance of approximately $ 156.7 million , primarily related to net state deferred tax assets , capital loss carryforwards and the lost tax benefit and costs associated with our tax refund claims . the company has not provided a valuation allowance for the remaining net deferred tax assets , primarily its tax refund claims and federal net operating loss carryforwards , as management believes the company will be successful with its tax refund claims and have sufficient time to realize these federal net operating loss carryforwards during the twenty-year tax carryforward period . the company intends to recover a portion of its deferred tax asset through its tax refund claims , related to certain federal net operating losses , filed during 2003 as part of a tax planning strategy implemented in 2002 . the recoverability of its remaining net deferred tax asset has been assessed utilizing stable state ( no growth ) projections based on its current operations . the projections show a significant decrease in depreciation and interest expense in the later years of the carryforward period as a result of a significant portion of its assets being fully depreciated during the first fifteen years of the carryforward period and debt repayments reducing interest expense . accordingly , the recoverability of the net deferred tax asset is not dependent on material improvements to operations , material asset sales or other non-routine transactions . based on its current outlook of future taxable income during the carryforward period , management believes that the net deferred tax asset will be realized . the realization of the company 2019s deferred tax assets will be dependent upon its ability to generate approximately $ 1.0 billion in taxable income from january 1 , 2004 to december 31 , 2023 . if the company is unable to generate sufficient taxable income in the future , or carry back losses as described above , it will be required to reduce its net deferred tax asset through a charge to income tax expense , which would result in a corresponding decrease in stockholders 2019 equity . depending on the resolution of the verestar bankruptcy proceedings described in note 2 , the company may be entitled to a worthless stock or bad debt deduction for its investment in verestar . no income tax benefit has been provided for these potential deductions due to the uncertainty surrounding the bankruptcy proceedings . 13 . stockholders 2019 equity preferred stock as of december 31 , 2003 the company was authorized to issue up to 20.0 million shares of $ .01 par value preferred stock . as of december 31 , 2003 and 2002 there were no preferred shares issued or outstanding. .
Question: what is the amount of the state operating loss carryforwards that expires between 2004 and 2008?
Answer: 483578.0
Question: and what is the total of that state operating loss carryforwards?
Answer: 1513972.0
Question: what is, then, that amount as a portion of this total?
Answer: 0.31941
Question: and in 2003, how much did the net federal operating loss carryforwards represent in relation to that state one?

0.6