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naturally-ventilated Some buildings Zion National Park Visitors Center, Chesapeake Bay Foundation building, and Arch Hall URL: http://maps.google.com/maps?q=Cedar+City,+UT,+United+States+of+America&sa=X&oi=map&ct=title http://maps.google.com/maps?q=Cedar+City,+UT,+United+States+of+America&sa=X&oi=map&ct=title Where is Zion National Park? URL: http://en.wikipedia.org/wiki/Zion_National_Park Zion National Park Zion National Park landscape A river runs through it Cedar City, UT annual climate Cedar City, UT Wind flows in June Zion National Park Visitors Center URL: http://www.nps.gov/dsc/b_what/b_5_za_zion.htm URL: http://www.nrel.gov/docs/fy05osti/34607.pdf (page xx) Zion National Park Visitors Center ZNP Visitors Center East elevation with operable clerestories South elevation with Trombe walls and PV array Cedar City, UT climate vs. comfort -- June Cedar City, UT climate vs. comfort -- June Zion National Park Visitors Center URL: http://www.nps.gov/dsc/b_what/b_5_za_zion.htm ZNP Visitors Center cooltower URL: http://www.nrel.gov/docs/fy05osti/34607.pdf (page 35) Cooltower operation Water consumption for ZNP cooltowers Summer 2002 URL: http://www.nrel.gov/docs/fy05osti/34607.pdf (page 71) Available at http://www.nrel.gov/docs/fy06osti/37542.pdf Four of the six high-performance buildings Source: Torcellini, P. et. al., Lessons Learned from Case Studies of Six High-Performance Buildings, Technical Report NREL/TP-550-37542, June 2006 URL: http://www.nrel.gov/docs/fy06osti/37542.pdf South elevation of Philip Merrill Center (CBF) R: Copied from http://www.nrel.gov/docs/fy05osti/34830.pdf Using manual control to operate naturally-ventilating windows Copied from http://www.nrel.gov/docs/fy05osti/34830.pdf Encouraging occupant control Anticipated natural ventilation flow patterns for CBF Building Source: Torcellini, P. et. al., Lessons Learned from Case Studies of Six High-Performance Buildings, Technical Report al., HighBuildings, NREL/TP-550-37542, June 2006, pg 55 NREL/TP- 550URL: http://www.nrel.gov/docs/fy06osti/37542.pdf Source: Torcellini, P. et. al., Lessons Learned from Case Studies of Six High-Performance Buildings, Technical Report al., HighBuildings, NREL/TP-550-37542, June 2006, pages 52-56 NREL/TP- 55052URL: http://www.nrel.gov/docs/fy06osti/37542.pdf Conclusions about employing natural ventilation 1. Natural ventilation should be designed to rely primarily on stack effect. 2. Separate natural ventilation supply and relief from the fenestration from the design phase. 3. Use automatically controlled supply and relief controls that do not rely on occupant interaction. 4. Provide multiple opportunities for passive airflow. 5. Natural ventilation systems should not replace conventional economizers. Another example of a natural ventilation application Using wind pressure a and/or stack effect? Arch Hall before it was Arch Hall (photograph taken 1908; UW Library collection) Natural ventilation for Arch Hall? (SW corner, ground floor) Arch Hall G30 SW & SE Ground Floor design studios with designed for furniture locations Original transom openings Before and nearly after Left image: J. Stamets, photographer Natural ventilation pathway from the ground floor Photographer: J. Stamets Arch Hall cupola: where the used air leaves Second floor natural ventilation pathway Photographer: J. Stamets How well does air move through the building? (SW corner, ground floor) Arch Hall G30 Test set-up in Arch Hall G30 Airflow sensor assembly Data collection window(s)-to-chimney(s) air flows Observing (expected) Open window(s) opposite to center-wall chimneys SW & SE Ground Floor design studios with expected furniture locations (commonly found with wind, air movement in ducts, across buildings, etc.) Source: Heerwagen, D., Observing Air Flow in Buildings, [Vital Signs] (Berkeley, CA: Uinv. Of California, 1996), pg 25. Air flow velocity variations Test situation: Sensor #1 with 2 windows open (1st & 2nd full windows from SW corner on WEST elevation), top & bottom sashes open equally; room lights off ; T (in-out) = ~ 0 F; average velocity (in=0.07 m/s (stddev = 0.08 m/s) Common indoor air velocities & their effects Source: Evans, M., Housing, Climate, and Comfort, (NY:J.Wiley, 1980), pg 175 Velocity (m/s) (fpm or mph) Mechanical effect Effect on human beings 0.10 (20 or 0.22) May feel stuffy Minimum likely in domestic situations 0.25 (50 or 0.90) 0.50 (100 or 1.1) Cigarette smoke indicates movement Flame from a candle flickers Loose papers may be moved; equivalent to walking speed Movement not noticeable except at low air temperatures Feels fresh at comfortable air temperatures Generally pleasant when comfortable or warm, but causes constant awareness of motion 1.00 (200 or 2.2) Added 24 student-equivalents (i.e., lamps) (designed room capacity = 24 students) Test situation: Sensor #1 with 2 windows open (1st-2nd full windows from SW corner on WEST elevation), top & bottom sashes open equally; room lights on & 24 body lamps on; T (in-out) = ~ (in8 F; average velocity = 0.10 m/s (stddev = 0.08 m/s) window(s)-to-window(s) window(s)-to-chimney(s) air flows and/or Observing for Open windows on opposite & adjacent elevations to center-wall chimneys SW & SE Ground Floor design studios with expected furniture locations Test situation: Sensor #1 with 4 windows open (2 full windows on SOUTH elev. & 2 full from SW corner on WEST elevation), top & bottom sashes open equally; room lights off ; T (in-out) = ~ 10 F; (inaverage velocity = 0.35 m/s (stddev = 0.24 m/s) Velocity variations for each of the nine sensors (for the previous test) Visualizing air flow
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433OTSpr08x032708.doc
Path: Washington >> ARCH >> 433 Winter, 2008
Description: 1 DepartmentofArchitecture UniversityofWashington Architecture433 SpringQuarter2008 1April2008 D.Heerwagen ACTIVE(&HYBRID)CONTROLSYSTEMS(FORBUILDINGOPERATION) Generaldescriptionofthecourse ThiscoursewilldescribecommonHVAC,electrical,plumbing,andhum...
GouldHallHVACSystem07Mtg3.ppt
Path: Washington >> ARCH >> 433 Winter, 2008
Description: Explaining the hows and whys of the Gould Hall HVAC System How does the system operate and why has it been organized to operate in this manner? The two tasks for an HVAC system providing fresh air and maintaining occupant thermal comfort: Fresh ai...
445-08Syllabus.pdf
Path: Washington >> ARCH >> 445 Fall, 2008
Description: REHAB 445: FUNCTIONAL ANATOMY OF THE HEAD, SPINE, TRUNK, AND PELVIS 2008 Course Syllabus Mark Guthrie, PhD Rehabilitation Medicine University of Washington TABLE OF CONTENTS OB JECTIVES .. 1 INTRODUCTION/TERMS . 4 HEAD & FACE . 6 Study Questions ...
2-arch.ppt
Path: Washington >> ARCH >> 451 Fall, 2008
Description: Systems Winter 2007 Module 2 Architectural Support for Operating Systems Ed Lazowska lazowska @cs.washi ngton.edu 570 Allen Center Even coarse architectural trends impact tremendously the design of systems Processing power doubling every 18 months...
452lab-practical2-05.pdf
Path: Washington >> ARCH >> 452 Winter, 2008
Description: Biol. 452, Vert. natural History Lab Practical 2, Summer 2005 A Pika skull B Pocket Gopher Skull C Douglas squirrel skull D Muskrat skull What is the Common Name of A? American Pika What is the Diet of B? Herbivore What is the Common Name of C? D...
478-Layers-plans.pdf
Path: Washington >> ARCH >> 478 Fall, 2008
Description: ARCH 478 Layer Designations New building (plans) Long name 1-a-above 1-a-casework 1-a-dim96 1-a-dim48 1-a-door 1-a-equipment 1-a-furniture 1-a-plumbing 1-a-rcp 1-a-revisions 1-a-stair 1-a-stair-handrail 1-a-notes 1-a-wall 1-a-wall-hatch 1-a-wall-low ...
481.workbook.pdf
Path: Washington >> ARCH >> 481 Fall, 2008
Description: Arch 481 : 3D Modeling and Rendering Model & Rendering by Doo Young Kwon, Aut 02. Exercise Workbook Autumn 2008 by Brian Johnson brj@u.washington.edu ARCH 481: 3D MODELING AND RENDERING P2 The Project: Overview At the center of this course is a...
481.Schedule.pdf
Path: Washington >> ARCH >> 481 Fall, 2008
Description: ARCH 481: 3d Modeling and Rendering Autumn Quarter, 2008 Lecture rendering Tu 9/30 Due Weekly topic cluster 3D modeling data and operations; Solids (geometry + top...
486.syllabus.pdf
Path: Washington >> ARCH >> 486 Spring, 2008
Description: Arch 486: Computer Graphics Programming for Design Qtr/SLN/Inst: Spring, 2008; (SLN: 10306) When/Where: M-W-F: 10:30-11:20 a.m. Brian Johnson Gould 007F Office/Hours/Email: Arc G55; M brj@u.washington.edu Course web sit...
486.schedule.pdf
Path: Washington >> ARCH >> 486 Spring, 2008
Description: Spring, 2008 Arch 486 Monday 3/31 Introductions Course intro; Skills inventory; Java intro (JVM, web applets), Eclipse. Exercise #1: HelloWorld [4/4e] Wednesday 4/2 Getting started Java: simple types, variables, classes, methods, applets Exercise ...
Kang-etal-2006-BPA_Biodegradation.pdf
Path: Washington >> ARCH >> 486 Spring, 2008
Description: Toxicology 217 (2006) 8190 Review Biodegradation or metabolism of bisphenol A: From microorganisms to mammals Jeong-Hun Kang a, , Yoshiki Katayama a , Fusao Kondo b b Department of Applied Chemistry, Faculty of Engineering, Kyushu University, 744 ...
Flavian Connor Wingfield.doc
Path: Washington >> ARCH >> 493 Fall, 2008
Description: TheFlavianAmphitheaterandthe PalazzettodelloSport TheFlavianAmphitheater Historyofthesite: TheFlavianAmphitheaterwasconstructedin80ADand wasconstructedtohousegladiatorialgames.Itwasbuilt onmarshylandbetweentheEsquilineandCaelianhills asthefirstperma...
Trina Nguyen's Final Draft.ppt
Path: Washington >> ARCH >> 493 Fall, 2008
Description: Palazzo dei Congressi e Ricevimenti 1938-1954 Adalberto Libera Trina Nguyen Spring 2005 This is an early sketch of Palazzo dei Congressi An open-air theater was built on the top of the buildings roof terrace. View of the Palazzo from Piazza Kennedy...
insula-courtyard.doc
Path: Washington >> ARCH >> 493 Fall, 2008
Description: INSULA, OSTIA 98-192 A.D. Peter Spier, Spring 2005 The Ostian Insulaes were likely built by private entrepreneurs with sufficient capital/resources. The origins of the roman insulae have been hotly debated for many years. Most historians agree that n...
EUR and Sabuadia.doc
Path: Washington >> ARCH >> 493 Fall, 2008
Description: EUR (Esposizione Universale di Roma) Architects: Piazza Guglielmo Marconi (plan G2 3/B and plan VII 2/c) 1937-42, 1952-60 Giuseppe Pagano Marcello Piacentini, Luigi Piccinato, Ettore Rossi, Luigi Vietti (first master plan); Marcello Piacentini (final...
VONOutcomes Data Infants 501-1500 gm.ppt
Path: Washington >> ARCH >> 501 Winter, 2008
Description: Neonatal Outcomes Michael D. Neufeld MD University of Washington Neonatology UWMC NICU 1996-1998 Prenatal Outcomes by GA 100% 90% 80% 70% 60% 50% 40% 30% 20% 10% 0% 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 Living Death of Tota...
digref1.pdf
Path: Washington >> ARCH >> 520 Fall, 2008
Description: 11/26/2002 11:18 AM Chapter 1 Reference, Digital and Otherwise Reference This is a book about referenceit says so right in the titleand so it seems appropriate to start out by defining exactly what we mean when we say reference. I can hear the groan...
isaacson.pdf
Path: Washington >> ARCH >> 532 Winter, 2008
Description: Neuron, Vol. 15, 875-884, October, 1995, Copyright 1995 by Cell Press Counting Quanta: Direct Measurements of Transmitter Release at a Central Synapse Jeffry S. Isaacson* and Bruce Walmsley The Neuroscience Group Discipline of Medical Biochemistry F...
hodgkin_HK_jphys52.pdf
Path: Washington >> ARCH >> 532 Winter, 2008
Description: ...
20_richey_je_33-551-561.pdf
Path: Washington >> ARCH >> 561 Fall, 2008
Description: ...
587.Readings.pdf
Path: Washington >> ARCH >> 587 Fall, 2008
Description: Readings Arch 587: Theory of Design Computing READINGS & CLASS ACTIVITY, BY WEEK This is the first draft of the reading schedule for the quarter. The first four to five weeks will follow pretty much as set forth here, but the open and otherwise uns...
587.OutsideReadings.pdf
Path: Washington >> ARCH >> 587 Fall, 2008
Description: Outside Readings Arch 587: Theory of Design Computing Listed below are books that you may find interesting. The topical range is substantial. Some are written by and for architects, some are written by and for HCI researchers. All are valuable in t...
587.Syllabus.pdf
Path: Washington >> ARCH >> 587 Fall, 2008
Description: Theory of Design Computing Arch 587 - Autumn, 2007 University Course Description Brian Johnson Arc 052 (DMG) W 6:00-8:50 pm Examines the relationship between theories of design and computational tools for practice. Explores how the emergence of com...
587.week1.question.pdf
Path: Washington >> ARCH >> 587 Fall, 2008
Description: Arch 587: Theory of Design Computing Autumn 2007 The first set of readings does two things: it provides a high-altitude overview of the questions of design computing, and it introduces in some detail one view, which we will refer to as classical pr...
595.pdf
Path: Washington >> ARCH >> 595 Spring, 2008
Description: AN ELASTO-PLASTIC CONSTITUTIVE MODEL FOR SOFT SEDIMENTARY ROCK Fusao Oka1 , Sayuri Kimoto2 , Hideyuki Kobayashi3 , and Toshihisa Adachi4 ABSTRACT In order to investigate the anisotropic behavior of soft sedimentary rock, a series of triaxial compress...
CHID_LSJ 332 Long.pdf
Path: Washington >> LSJ >> 332 Fall, 2008
Description: autumn 2005 CHID/LSJ 332 All Lang Site: Experimental Education Unit Seattle URL WA 98195 Address: UW, EEU, Box 357925 Location: lower campus - right behind the hospital Overview: The mission of the EEU is threefold: research, training, and ser...
LSJ 362 final fall 07.doc
Path: Washington >> LSJ >> 362 Fall, 2008
Description: LSJ 362 FINAL EXAM AUTUMN 2007 First, read the article, The Pressure to Cover, by Kenji Yoshino, which was originally published on January 15, 2006 in The New York Times Magazine (a copy of the article is posted on the class website). This topic sho...
367-A08 TA Job Description-Cichowski.pdf
Path: Washington >> LSJ >> 367 Fall, 2008
Description: Political Science Department Autumn 2008 Teaching Assistant Job Description Complete and return to Meera Roy by Friday, September 26, 2008 *COMPLETE THIS TOP SECTION AND SIGN BELOW* TA NAME: __ QUIZ MEETINGS: Sections (AA, etc) Days Times Locations ...
ANTH 498 LSJ 421 long.pdf
Path: Washington >> LSJ >> 421 Fall, 2008
Description: spring 2005 ANTH/LSJ 498/421 All Osanloo Site: Committee for International Human Rights Inquiry Seattle WA 98118-2220 URL http:/www.hometown.aol.com/Mo chCIHRI Address: 5512 42nd Ave. S Location: Regular meetings will either be held on campus...
Philosophy 100 - Lecture Six (Kant).ppt
Path: Washington >> MATH >> 100 Fall, 2008
Description: Philosophy 100 Lecture: Kantian Ethics Table of Contents! (1) (2) (3) (4) (5) Hypothetical-Categorical Imperatives Heteronymous-Autonomous Actions Equal Force of Reasons Principle Universalization Test Deducing the Categorical Imperative The Hypoth...
hnf-800-100.txt
Path: Washington >> MATH >> 100 Fall, 2008
Description: 472.128 3304.01600000000 124.994 1330.79600000000 ...
hnf-700-100.txt
Path: Washington >> MATH >> 100 Fall, 2008
Description: 342.55 2195.14600000000 88.064 927.004000000000 ...
hnf-100-80.txt
Path: Washington >> MATH >> 100 Fall, 2008
Description: 1.794 1.58400000000000 0.44 0.808000000000000 ...
gamma0-102-2-7.txt
Path: Washington >> MATH >> 102 Fall, 2008
Description: (102, 2, 7) (0.20401299999999978, 0.0040000000000013358, 0.0, 0.0, 0.20801300000000111) Modular Symbols space of dimension 0 and level 102, weight 2, character [1, -1, zeta8], sign 1, over Cyclotomic Field of order 8 and degree 4 ...
gamma0-lcalc-102-2-cpt1-emb0-10000-CDF-14.txt
Path: Washington >> MATH >> 102 Fall, 2008
Description: 2 2 10000 0 1 1 0.5 0 1.60738613372 10 0 1.0 -0.707106781187 0.57735026919 0.5 0 -0.408248290464 0.755928946018 -0.353553390593 0.333333333333 0 0 0.288675134595 0.554700196225 -0.534522483825 0 0.25 -0.242535625036 -0.235702260396 -0.917662935482 0 ...
gamma0-lcalc-102-2-cpt2-emb0-10000-CDF-14.txt
Path: Washington >> MATH >> 102 Fall, 2008
Description: 2 2 10000 0 1 1 0.5 0 1.60738613372 10 0 1.0 0.707106781187 0.57735026919 0.5 -0.894427191 0.408248290464 0 0.353553390593 0.333333333333 -0.632455532034 -1.20604537831 0.288675134595 -0.554700196225 0 -0.516397779494 0.25 0.242535625036 0.2357022603...
gamma0-zeros-102-2-cpt2-emb0-1000-CDF-14.txt
Path: Washington >> MATH >> 102 Fall, 2008
Description: 2.7630981341 4.13875090006 5.51457882927 7.36440720073 7.95888206699 9.57039481094 10.84353554601 11.93324918289 12.87130622556 13.82453782977 14.86810353897 15.62682950031 16.33123300835 17.79286854935 18.97481261133 19.60787398222 20.65814869355 21...
gamma0-103-2-6.txt
Path: Washington >> MATH >> 103 Fall, 2008
Description: (103, 2, 6) (0.1720110000000048, 0.26801699999999329, 0.0, 0.58003599999999977, 1.0200639999999979) Modular Symbols space of dimension 10 and level 103, weight 2, character [zeta3], sign 1, over Cyclotomic Field of order 3 and degree 2 ...
gamma0-103-2-2.txt
Path: Washington >> MATH >> 103 Fall, 2008
Description: (103, 2, 2) (0.22401400000000038, 2.2161380000000008, 0.0, 6.9524349999999977, 9.3925869999999989) Modular Symbols space of dimension 10 and level 103, weight 2, character [zeta102^2], sign 1, over Cyclotomic Field of order 102 and degree 32 ...
gamma0-lcalc-103-2-cpt1-emb2-10000-CDF-14.txt
Path: Washington >> MATH >> 103 Fall, 2008
Description: 2 2 10000 0 1 1 0.5 0 1.61524625949 10 0 1.0 0.532416578391 1.73991646769 -0.716532587054 -0.186310796133 0.926360372414 -1.4985087625 -0.913910406696 2.02730931454 -0.0991949565942 -1.25767190869 -1.24670684785 0.70670966054 -0.797830908022 -0.32416...
gamma0-lcalc-103-2-cpt1-emb5-10000-CDF-14.txt
Path: Washington >> MATH >> 103 Fall, 2008
Description: 2 2 10000 0 1 1 0.5 0 1.61524625949 10 0 1.0 1.9672570626 -1.3097435516 2.87010035036 -0.402715054521 -2.57660225208 -1.05533455175 3.67896812201 0.715428170955 -0.792244035223 -1.14876712123 -3.75909542632 0.24730047316 -2.07611435033 0.527453445791...
gamma0-134-2-6.txt
Path: Washington >> MATH >> 134 Fall, 2008
Description: (134, 2, 6) (0.52403300000003128, 0.47602999999998019, 1.5720979999999827, 2.8481780000000185, 5.4203390000000127) Modular Symbols space of dimension 19 and level 134, weight 2, character [1, zeta3], sign 1, over Cyclotomic Field of order 3 and degre...
gamma0-134-2-1.txt
Path: Washington >> MATH >> 134 Fall, 2008
Description: (134, 2, 1) (0.21201400000001058, 0.0040000000000190994, 0.0, 0.0, 0.21601400000002968) Modular Symbols space of dimension 0 and level 134, weight 2, character [1, zeta66], sign 1, over Cyclotomic Field of order 66 and degree 20 ...
gamma0-134-2-0.txt
Path: Washington >> MATH >> 134 Fall, 2008
Description: (134, 2, 0) (0.048002999999937401, 0.044003000000031989, 4.720294000000024, 0.14401000000003705, 4.9563100000000304) Modular Symbols space of dimension 19 and level 134, weight 2, character [1, 1], sign 1, over Rational Field ...
syllabus.pdf
Path: Washington >> MATH >> 135 Fall, 2008
Description: Math 135A, Winter 2009 Syllabus Instructor: Tom Duchamp Oce: Padelford C-505 TA: Eric Nitardy e-mail: duchamp@math.washington.edu Oce: Padelford C-115 Oce hours: 12:302:00 on Mondays; 1:30 e-mail: nithardt@math.washington.edu 2:20 on Tuesdays; righ...
complex.pdf
Path: Washington >> MATH >> 135 Fall, 2008
Description: MATH 135: COMPLEX NUMBERS (WINTER, 2009) The introduction of complex numbers in the 16th century made it possible to solve the equation x2 + 1 = 0. These notes1 present one way of dening complex numbers. 1. The Complex Plane A complex number z is gi...
fixed-points.pdf
Path: Washington >> MATH >> 135 Fall, 2008
Description: Math 135A, Winter 2009 Fixed Points One way that sequences are often dened is by recursion. More precisely, suppose that f : R R is a function and x0 is a real number. Then we may dened a sequence {xn } iteratively by the formula xn+1 = f (xn ) fo...
cauchy-sequences.pdf
Path: Washington >> MATH >> 135 Fall, 2008
Description: Math 135A, Winter 2009 Cauchy Sequences Very often, it is dicult to determine the limit of a convergent sequence, yet one still wants to verify that the sequence is convergent. In this handout, we develope a criterion for convergence of a sequence ...
gamma0-136-2-6.txt
Path: Washington >> MATH >> 136 Fall, 2008
Description: (136, 2, 6) (0.20001300000001265, 0.0080009999999788306, 0.0, 0.0, 0.20801399999999148) Modular Symbols space of dimension 0 and level 136, weight 2, character [1, -1, zeta16], sign 1, over Cyclotomic Field of order 16 and degree 8 ...
gamma0-136-2-5.txt
Path: Washington >> MATH >> 136 Fall, 2008
Description: (136, 2, 5) (0.040003000000012889, 0.048002999999994245, 0.72004600000002483, 0.43202700000000505, 1.2440790000000561) Modular Symbols space of dimension 20 and level 136, weight 2, character [1, -1, 1], sign 1, over Rational Field ...
gamma0-136-2-10.txt
Path: Washington >> MATH >> 136 Fall, 2008
Description: (136, 2, 10) (0.036002000000053158, 0.0040009999999597312, 0.0, 0.0, 0.040003000000012889) Modular Symbols space of dimension 0 and level 136, weight 2, character [-1, 1, 1], sign 1, over Rational Field ...
gamma0-136-2-12.txt
Path: Washington >> MATH >> 136 Fall, 2008
Description: (136, 2, 12) (0.20401300000003175, 0.0079999999999813554, 0.0, 0.0, 0.21201300000001311) Modular Symbols space of dimension 0 and level 136, weight 2, character [-1, 1, zeta8], sign 1, over Cyclotomic Field of order 8 and degree 4 ...
Winter 2006 C SCI 144 Syllabus1.doc
Path: Washington >> MATH >> 144 Fall, 2008
Description: C SCI 144 Java 1 Winter 2006 COURSE SYLLABUS andREQUIREMENTS 12401 SE 320th St. Auburn, WA 98002-3699 Location: TC120 Quarter: Winter 2005 Class Days Th 1-2 p.m. Office/Office Hours: SMT 318 Daily 8-9 Course Number/Credit: C ...
gamma0-144-2-23.txt
Path: Washington >> MATH >> 144 Fall, 2008
Description: (144, 2, 23) (0.048002999999994245, 0.068004000000001952, 0.20401300000000333, 0.0, 0.32001999999999953) Modular Symbols space of dimension 24 and level 144, weight 2, character [-1, -1, -1], sign 1, over Rational Field ...
gamma0-144-2-8.txt
Path: Washington >> MATH >> 144 Fall, 2008
Description: (144, 2, 8) (0.048002999999994245, 0.080004000000016617, 0.23201499999998987, 0.0, 0.36002200000000073) Modular Symbols space of dimension 28 and level 144, weight 2, character [1, -1, 1], sign 1, over Rational Field ...
gamma0-144-2-18.txt
Path: Washington >> MATH >> 144 Fall, 2008
Description: (144, 2, 18) (0.28801800000002231, 0.0039999999999906777, 0.0, 0.0, 0.29201800000001299) Modular Symbols space of dimension 0 and level 144, weight 2, character [-1, zeta12^3, zeta12^2 - 1], sign 1, over Cyclotomic Field of order 12 and degree 4 ...
gamma0-145-2-1.txt
Path: Washington >> MATH >> 145 Fall, 2008
Description: (145, 2, 1) (0.18001100000000747, 0.0039999999999906777, 0.0, 0.0, 0.18401099999999815) Modular Symbols space of dimension 0 and level 145, weight 2, character [1, zeta28], sign 1, over Cyclotomic Field of order 28 and degree 12 ...
gamma0-145-2-11.txt
Path: Washington >> MATH >> 145 Fall, 2008
Description: (145, 2, 11) (0.14400900000001116, 0.0039999999999906777, 0.0, 0.0, 0.14800900000000183) Modular Symbols space of dimension 0 and level 145, weight 2, character [zeta4, -1], sign 1, over Cyclotomic Field of order 4 and degree 2 ...
gamma0-145-2-13.txt
Path: Washington >> MATH >> 145 Fall, 2008
Description: (145, 2, 13) (0.16001100000002566, 0.0039999999999906777, 0.0, 0.0, 0.16401100000001634) Modular Symbols space of dimension 0 and level 145, weight 2, character [-1, zeta28], sign 1, over Cyclotomic Field of order 28 and degree 12 ...
gamma0-145-2-12.txt
Path: Washington >> MATH >> 145 Fall, 2008
Description: (145, 2, 12) (0.032002000000005637, 0.044002999999975145, 1.2640790000000095, 0.27601699999999596, 1.6161009999999862) Modular Symbols space of dimension 18 and level 145, weight 2, character [-1, 1], sign 1, over Rational Field ...
gamma0-146-2-11.txt
Path: Washington >> MATH >> 146 Fall, 2008
Description: (146, 2, 11) (0.036002999999965368, 0.048003000000022666, 0.12800699999999665, 0.32802100000000678, 0.54003399999999147) Modular Symbols space of dimension 20 and level 146, weight 2, character [1, -1], sign 1, over Rational Field ...
gamma0-146-2-3.txt
Path: Washington >> MATH >> 146 Fall, 2008
Description: (146, 2, 3) (0.22801400000000172, 0.0040010000000165746, 0.0, 0.0, 0.23201500000001829) Modular Symbols space of dimension 0 and level 146, weight 2, character [1, zeta24], sign 1, over Cyclotomic Field of order 24 and degree 8 ...
gamma0-146-2-4.txt
Path: Washington >> MATH >> 146 Fall, 2008
Description: (146, 2, 4) (0.68404200000000515, 0.9560600000000079, 2.7281700000000058, 5.4723429999999951, 9.8406150000000139) Modular Symbols space of dimension 20 and level 146, weight 2, character [1, zeta18], sign 1, over Cyclotomic Field of order 18 and degr...
gamma0-146-2-0.txt
Path: Washington >> MATH >> 146 Fall, 2008
Description: (146, 2, 0) (0.048003000000022666, 0.044003000000003567, 4.7682979999999873, 0.096006000000016911, 4.9563100000000304) Modular Symbols space of dimension 20 and level 146, weight 2, character [1, 1], sign 1, over Rational Field ...
gamma0-170-2-16.txt
Path: Washington >> MATH >> 170 Fall, 2008
Description: (170, 2, 16) (0.34802100000001701, 0.0080000000000381988, 0.0, 0.0, 0.35602100000005521) Modular Symbols space of dimension 0 and level 170, weight 2, character [1, -zeta8^2, zeta8], sign 1, over Cyclotomic Field of order 8 and degree 4 ...
gamma0-170-2-14.txt
Path: Washington >> MATH >> 170 Fall, 2008
Description: (170, 2, 14) (0.060003999999935331, 0.088005000000066502, 0.74404700000002322, 31.977997999999957, 32.870053999999982) Modular Symbols space of dimension 32 and level 170, weight 2, character [1, -1, -1], sign 1, over Rational Field ...
gamma0-170-2-12.txt
Path: Washington >> MATH >> 170 Fall, 2008
Description: (170, 2, 12) (1.3920870000001742, 1.2960809999999583, 4.9123079999999391, 10.240640000000099, 17.84111600000017) Modular Symbols space of dimension 30 and level 170, weight 2, character [1, -1, zeta8], sign 1, over Cyclotomic Field of order 8 and deg...
gamma0-170-2-11.txt
Path: Washington >> MATH >> 170 Fall, 2008
Description: (170, 2, 11) (0.34002099999986513, 0.008001000000035674, 0.0, 0.0, 0.3480219999999008) Modular Symbols space of dimension 0 and level 170, weight 2, character [1, -1, zeta16], sign 1, over Cyclotomic Field of order 16 and degree 8 ...
gamma0-171-2-11.txt
Path: Washington >> MATH >> 171 Winter, 2008
Description: (171, 2, 11) (0.74004600000000664, 1.180074999999988, 0.0, 1.420088000000078, 3.3402090000000726) Modular Symbols space of dimension 20 and level 171, weight 2, character [zeta6, -1], sign 1, over Cyclotomic Field of order 6 and degree 2 ...
gamma0-171-2-2.txt
Path: Washington >> MATH >> 171 Winter, 2008
Description: (171, 2, 2) (0.77604900000005728, 1.0280629999999746, 3.7122319999999718, 7.1004450000000361, 12.61678900000004) Modular Symbols space of dimension 22 and level 171, weight 2, character [1, zeta18^2], sign 1, over Cyclotomic Field of order 18 and deg...
