diff --git a/doc/ngspice.texi b/doc/ngspice.texi
index d2d896754..ffb05ef87 100644
--- a/doc/ngspice.texi
+++ b/doc/ngspice.texi
@@ -963,7 +963,7 @@ in the direction of voltage drop).
  General form:
 
 @example
-  RXXXXXXX N1 N2 VALUE <ac=val> <m=val>
+  RXXXXXXX N1 N2 VALUE <ac=val> <m=val> <scale=val>
 @end example
 
 
@@ -983,13 +983,16 @@ a different resistance value for ac calculations, using the "ac"
 parameter. The value of ac resistance must not be zero. If you do not
 specify the "ac" parameter, it will be defaulted to VALUE.
 
-The "m" parameter is the "multiplication factor":
-                   Resistance = Resistance / M
+The "m" parameter is the "multiplication factor" and scale is the "scale"
+factor:
+                   Resistance = Resistance * Scale / M
 Setting m to "val" is like putting m equal resistance in parallel.
-  
+The "scale" parameter let the designer to choose a different scale
+for elements. 
 
 Note: ac parameter can be considered "safe" since rework-11 
-
+      Scale parameter is not applied to l,w and other geometric
+      parameters. 
 
 @node  Semiconductor Resistors, Semiconductor Resistor Model (R), Resistors, Elementary Devices
 @subsection  Semiconductor Resistors
@@ -997,7 +1000,7 @@ Note: ac parameter can be considered "safe" since rework-11
  General form:
 
 @example
-  RXXXXXXX N1 N2 <VALUE> <MNAME> <L=LENGTH> <W=WIDTH> <TEMP=T> m=<val> <ac=val>
+  RXXXXXXX N1 N2 <VALUE> <MNAME> <L=LENGTH> <W=WIDTH> <TEMP=T> m=<val> <ac=val> <scale>
 @end example
 
 
diff --git a/src/spicelib/devices/res/res.c b/src/spicelib/devices/res/res.c
index 84b8a18da..9a4cdc936 100644
--- a/src/spicelib/devices/res/res.c
+++ b/src/spicelib/devices/res/res.c
@@ -11,12 +11,13 @@ Modified: Apr 2000 - Paolo Nenzi
 #include "ifsim.h"
 
 IFparm RESpTable[] = { /* parameters */ 
- IOPP( "resistance", RES_RESIST, IF_REAL,"Resistance"),
- IOPAA( "ac", RES_ACRESIST, IF_REAL, "AC resistance value"),
- IOPZU( "temp",        RES_TEMP,   IF_REAL,"Instance operating temperature"),
- IOPQU( "l",          RES_LENGTH, IF_REAL,"Length"),
- IOPZU( "w",          RES_WIDTH,  IF_REAL,"Width"),
- IOPU( "m", RES_M, IF_REAL, "Multiplication factor"),
+ IOPP( "resistance", 	RES_RESIST, 	IF_REAL,"Resistance"),
+ IOPAA( "ac",		RES_ACRESIST,	IF_REAL, "AC resistance value"),
+ IOPZU( "temp",		RES_TEMP,	IF_REAL,"Instance operating temperature"),
+ IOPQU( "l",		RES_LENGTH,	IF_REAL,"Length"),
+ IOPZU( "w",		RES_WIDTH,	IF_REAL,"Width"),
+ IOPU(  "m",		RES_M,		IF_REAL, "Multiplication factor"),
+ IOPU(  "scale",	RES_SCALE,	IF_REAL, "Scale factor"),
  IP(   "sens_resist", RES_RESIST_SENS, IF_FLAG,   
         "flag to request sensitivity WRT resistance"),
  OP( "i",          RES_CURRENT,IF_REAL,"Current"),
diff --git a/src/spicelib/devices/res/resdefs.h b/src/spicelib/devices/res/resdefs.h
index 09fe7988a..49164f986 100644
--- a/src/spicelib/devices/res/resdefs.h
+++ b/src/spicelib/devices/res/resdefs.h
@@ -36,6 +36,7 @@ typedef struct sRESinstance {
     double RESacConduct; /* AC conductance */
     double RESwidth;    /* width of the resistor */
     double RESlength;   /* length of the resistor */
+    double RESscale;    /* Scale factor */
     double RESm;        /* Multiplicity factor for this instance */
     double *RESposPosptr;    /* pointer to sparse matrix diagonal at 
                               * (positive,positive) */
@@ -45,9 +46,10 @@ typedef struct sRESinstance {
                               * (positive,negative) */
     double *RESnegPosptr;    /* pointer to sparse matrix offdiagonal at 
                               * (negative,positive) */
-    unsigned RESresGiven : 1;   /* flag to indicate resistance was specified */
+    unsigned RESresGiven    : 1;    /* flag to indicate resistance was specified */
     unsigned RESwidthGiven  : 1;    /* flag to indicate width given */
     unsigned RESlengthGiven : 1;    /* flag to indicate length given */
+    unsigned RESscaleGiven  : 1;    /* flag to indicate scale given */
     unsigned REStempGiven   : 1;    /* indicates temperature specified */
 /* serban */
     unsigned RESacresGiven  : 1;    /* indicates AC value specified */
@@ -100,6 +102,7 @@ typedef struct sRESmodel {       /* model structure for a resistor */
 #define RES_ACRESIST 10
 #define RES_ACCONDUCT 11
 #define RES_M 12 /* pn */
+#define RES_SCALE 13 /* pn */
 
 
 /* model parameters */
diff --git a/src/spicelib/devices/res/resparam.c b/src/spicelib/devices/res/resparam.c
index 9ca5b5972..3ac92875c 100644
--- a/src/spicelib/devices/res/resparam.c
+++ b/src/spicelib/devices/res/resparam.c
@@ -37,6 +37,10 @@ RESparam(int param, IFvalue *value, GENinstance *inst, IFvalue *select)
             here->RESlength = value->rValue;
             here->RESlengthGiven = TRUE;
             break;
+	case RES_SCALE:
+	    here->RESscale = value->rValue;
+	    here->RESscaleGiven = TRUE;
+	    break;
         case RES_RESIST_SENS:
             here->RESsenParmNo = value->iValue;
 	    break;
diff --git a/src/spicelib/devices/res/restemp.c b/src/spicelib/devices/res/restemp.c
index cbbed4605..b4785e04b 100644
--- a/src/spicelib/devices/res/restemp.c
+++ b/src/spicelib/devices/res/restemp.c
@@ -30,12 +30,12 @@ REStemp(GENmodel *inModel, CKTcircuit *ckt)
     for( ; model != NULL; model = model->RESnextModel ) {
 
         /* Default Value Processing for Resistor Models */
-        if(!model->REStnomGiven) model->REStnom = ckt->CKTnomTemp;
+        if(!model->REStnomGiven) model->REStnom         = ckt->CKTnomTemp;
         if(!model->RESsheetResGiven) model->RESsheetRes = 0;
         if(!model->RESdefWidthGiven) model->RESdefWidth = 10.e-6; /*M*/
-        if(!model->REStc1Given) model->REStempCoeff1 = 0;
-        if(!model->REStc2Given) model->REStempCoeff2 = 0;
-        if(!model->RESnarrowGiven) model->RESnarrow = 0;
+        if(!model->REStc1Given) model->REStempCoeff1    = 0;
+        if(!model->REStc2Given) model->REStempCoeff2    = 0;
+        if(!model->RESnarrowGiven) model->RESnarrow     = 0;
 
         /* loop through all the instances of the model */
         for (here = model->RESinstances; here != NULL ;
@@ -43,9 +43,11 @@ REStemp(GENmodel *inModel, CKTcircuit *ckt)
 	    if (here->RESowner != ARCHme) continue;
             
             /* Default Value Processing for Resistor Instance */
-            if(!here->REStempGiven) here->REStemp = ckt->CKTtemp;
-            if(!here->RESwidthGiven) here->RESwidth = model->RESdefWidth;
-            if(!here->RESlengthGiven)  here->RESlength = 0 ;
+            if(!here->REStempGiven)    here->REStemp   = ckt->CKTtemp;
+            if(!here->RESwidthGiven)   here->RESwidth  = model->RESdefWidth;
+            if(!here->RESlengthGiven)  here->RESlength = 0.0;
+	    if(!here->RESscaleGiven)   here->RESscale  = 1.0;
+	    if(!here->RESmGiven)       here->RESm      = 1.0;
             if(!here->RESresGiven)  {
                 if(model->RESsheetResGiven && (model->RESsheetRes != 0) &&
                         (here->RESlength != 0)) {
@@ -62,16 +64,12 @@ REStemp(GENmodel *inModel, CKTcircuit *ckt)
             factor = 1.0 + (model->REStempCoeff1)*difference + 
                     (model->REStempCoeff2)*difference*difference;
 
-            here->RESconduct = 1.0/(here->RESresist * factor);
+            here -> RESconduct = here->RESm*(1.0/(here->RESresist * factor * here->RESscale));
+	    here -> RESacConduct = here -> RESconduct; /* default value  */
 	    
-	    if(here->RESmGiven)
-	      here->RESconduct = here->RESconduct * here->RESm;
-	    
-	    /* Paolo Nenzi: Temperature effects for AC value */
+	    /* Paolo Nenzi:  AC value */
 	    if(here->RESacresGiven) 
-	       here->RESacConduct = 1.0/(here->RESacResist * factor);
-	    if (here->RESmGiven)
-	       here->RESacConduct = here->RESacConduct * here->RESm;
+	       here->RESacConduct = here->RESm*(1.0/(here->RESacResist * factor * here->RESscale));
         }
     }
     return(OK);
diff --git a/tests/resistor.cir b/tests/resistor.cir
index 5e5eb108a..522b75a9d 100644
--- a/tests/resistor.cir
+++ b/tests/resistor.cir
@@ -15,10 +15,13 @@ VR4 1 5 DC 0
 R4  5 0 10K ac=5k m=2
 .model rmodel1 R  RSH = 1000 NARROW = 1u
 
+VR5 1 6 DC 0
+R5  6 0 10 ac=5 scale=1K
+
 .OP
 .TRAN 1ns 10ns
 .AC DEC 100 1MEG 100MEG
-.PRINT TRAN I(VR1), I(VR2), I(VR3), I(VR4)
-.PRINT AC I(VR1), I(VR2), I(VR3), I(VR4)
+.PRINT TRAN I(VR1), I(VR2), I(VR3), I(VR4),I(VR5)
+.PRINT AC I(VR1), I(VR2), I(VR3), I(VR4),I(VR5)
 
 .END
diff --git a/tests/resistor.out b/tests/resistor.out
index 9fde70c08..697901930 100644
--- a/tests/resistor.out
+++ b/tests/resistor.out
@@ -9,6 +9,7 @@ Operating point information:
 
 	Node	Voltage
 	----	-------
+	V(6)	1.000000e+00
 	V(5)	1.000000e+00
 	V(4)	1.000000e+00
 	V(3)	1.000000e+00
@@ -18,11 +19,12 @@ Operating point information:
 	Source	Current
 	------	-------
 
-	vin#branch	-5.00000e-04
+	vin#branch	-6.00000e-04
 	vr1#branch	1.000000e-04
 	vr2#branch	1.000000e-04
 	vr3#branch	1.000000e-04
 	vr4#branch	2.000000e-04
+	vr5#branch	1.000000e-04
 
  Resistor models (Simple linear resistor)
  model       rmodel1         R
@@ -34,19 +36,19 @@ Operating point information:
       defw     1e-05     1e-05
 
  Resistor: Simple linear resistor
- device           r3        r4        r2        r1
- model       rmodel1         R         R         R
-resistance     1e+04     1e+04     1e+04     1e+04
-        ac   2.5e+03     5e+03     5e+03         0
-         i -5.88e-05 -0.000118 -5.88e-05 -5.88e-05
-         p  3.45e-05  6.91e-05  3.45e-05  3.45e-05
+ device           r3        r5        r4        r2        r1
+ model       rmodel1         R         R         R         R
+resistance     1e+04        10     1e+04     1e+04     1e+04
+        ac   2.5e+03         5     5e+03     5e+03         0
+         i -5.88e-05 -5.88e-05 -0.000118 -5.88e-05 -5.88e-05
+         p  3.45e-05  3.45e-05  6.91e-05  3.45e-05  3.45e-05
 
  Vsource: Independent voltage source
- device          vr4       vr3       vr2       vr1       vin
-        dc         0         0         0         0         1
-     acmag         0         0         0         0         1
-         i -0.000118 -5.88e-05 -5.88e-05 -5.88e-05  0.000294
-         p         0         0         0         0  0.000173
+ device          vr5       vr4       vr3       vr2       vr1       vin
+        dc         0         0         0         0         0         1
+     acmag         0         0         0         0         0         1
+         i -5.88e-05 -0.000118 -5.88e-05 -5.88e-05 -5.88e-05  0.000353
+         p         0         0         0         0         0  0.000207
 
                            A paralled resistor array
 --------------------------------------------------------------------------------
@@ -116,69 +118,69 @@ Index   time            vr1#branch      vr2#branch      vr3#branch
 
                            A paralled resistor array
 --------------------------------------------------------------------------------
-Index   time            vr4#branch      
+Index   time            vr4#branch      vr5#branch      
 --------------------------------------------------------------------------------
-0	0.000000e+00	0.000000e+00	
-1	2.000000e-12	0.000000e+00	
-2	4.000000e-12	0.000000e+00	
-3	8.000000e-12	0.000000e+00	
-4	1.600000e-11	0.000000e+00	
-5	3.200000e-11	0.000000e+00	
-6	6.400000e-11	0.000000e+00	
-7	1.280000e-10	0.000000e+00	
-8	2.560000e-10	0.000000e+00	
-9	4.560000e-10	0.000000e+00	
-10	6.560000e-10	0.000000e+00	
-11	8.560000e-10	0.000000e+00	
-12	1.056000e-09	7.035716e-06	
-13	1.256000e-09	3.203137e-05	
-14	1.456000e-09	5.652187e-05	
-15	1.656000e-09	8.012098e-05	
-16	1.856000e-09	1.024565e-04	
-17	2.056000e-09	1.231763e-04	
-18	2.256000e-09	1.419535e-04	
-19	2.456000e-09	1.584920e-04	
-20	2.656000e-09	1.725310e-04	
-21	2.856000e-09	1.838491e-04	
-22	3.056000e-09	1.922677e-04	
-23	3.256000e-09	1.976542e-04	
-24	3.456000e-09	1.999236e-04	
-25	3.656000e-09	1.990400e-04	
-26	3.856000e-09	1.950175e-04	
-27	4.056000e-09	1.879194e-04	
-28	4.256000e-09	1.778577e-04	
-29	4.456000e-09	1.649911e-04	
-30	4.656000e-09	1.495225e-04	
-31	4.856000e-09	1.316959e-04	
-32	5.056000e-09	1.117923e-04	
-33	5.256000e-09	9.012565e-05	
-34	5.456000e-09	6.703770e-05	
-35	5.656000e-09	4.289252e-05	
-36	5.856000e-09	1.807089e-05	
-37	6.056000e-09	-7.035716e-06	
-38	6.256000e-09	-3.203137e-05	
-39	6.456000e-09	-5.652187e-05	
-40	6.656000e-09	-8.012098e-05	
-41	6.856000e-09	-1.024565e-04	
-42	7.056000e-09	-1.231763e-04	
-43	7.256000e-09	-1.419535e-04	
-44	7.456000e-09	-1.584920e-04	
-45	7.656000e-09	-1.725310e-04	
-46	7.856000e-09	-1.838491e-04	
-47	8.056000e-09	-1.922677e-04	
-48	8.256000e-09	-1.976542e-04	
-49	8.456000e-09	-1.999236e-04	
-50	8.656000e-09	-1.990400e-04	
-51	8.856000e-09	-1.950175e-04	
-52	9.056000e-09	-1.879194e-04	
-53	9.256000e-09	-1.778577e-04	
-54	9.456000e-09	-1.649911e-04	
+0	0.000000e+00	0.000000e+00	0.000000e+00	
+1	2.000000e-12	0.000000e+00	0.000000e+00	
+2	4.000000e-12	0.000000e+00	0.000000e+00	
+3	8.000000e-12	0.000000e+00	0.000000e+00	
+4	1.600000e-11	0.000000e+00	0.000000e+00	
+5	3.200000e-11	0.000000e+00	0.000000e+00	
+6	6.400000e-11	0.000000e+00	0.000000e+00	
+7	1.280000e-10	0.000000e+00	0.000000e+00	
+8	2.560000e-10	0.000000e+00	0.000000e+00	
+9	4.560000e-10	0.000000e+00	0.000000e+00	
+10	6.560000e-10	0.000000e+00	0.000000e+00	
+11	8.560000e-10	0.000000e+00	0.000000e+00	
+12	1.056000e-09	7.035716e-06	3.517858e-06	
+13	1.256000e-09	3.203137e-05	1.601568e-05	
+14	1.456000e-09	5.652187e-05	2.826093e-05	
+15	1.656000e-09	8.012098e-05	4.006049e-05	
+16	1.856000e-09	1.024565e-04	5.122827e-05	
+17	2.056000e-09	1.231763e-04	6.158815e-05	
+18	2.256000e-09	1.419535e-04	7.097675e-05	
+19	2.456000e-09	1.584920e-04	7.924600e-05	
+20	2.656000e-09	1.725310e-04	8.626549e-05	
+21	2.856000e-09	1.838491e-04	9.192453e-05	
+22	3.056000e-09	1.922677e-04	9.613386e-05	
+23	3.256000e-09	1.976542e-04	9.882711e-05	
+24	3.456000e-09	1.999236e-04	9.996179e-05	
+25	3.656000e-09	1.990400e-04	9.952001e-05	
+26	3.856000e-09	1.950175e-04	9.750874e-05	
+27	4.056000e-09	1.879194e-04	9.395971e-05	
+28	4.256000e-09	1.778577e-04	8.892887e-05	
+29	4.456000e-09	1.649911e-04	8.249557e-05	
+30	4.656000e-09	1.495225e-04	7.476127e-05	
+31	4.856000e-09	1.316959e-04	6.584793e-05	
+32	5.056000e-09	1.117923e-04	5.589614e-05	
+33	5.256000e-09	9.012565e-05	4.506283e-05	
+34	5.456000e-09	6.703770e-05	3.351885e-05	
+35	5.656000e-09	4.289252e-05	2.144626e-05	
+36	5.856000e-09	1.807089e-05	9.035447e-06	
+37	6.056000e-09	-7.035716e-06	-3.517858e-06	
+38	6.256000e-09	-3.203137e-05	-1.601568e-05	
+39	6.456000e-09	-5.652187e-05	-2.826093e-05	
+40	6.656000e-09	-8.012098e-05	-4.006049e-05	
+41	6.856000e-09	-1.024565e-04	-5.122827e-05	
+42	7.056000e-09	-1.231763e-04	-6.158815e-05	
+43	7.256000e-09	-1.419535e-04	-7.097675e-05	
+44	7.456000e-09	-1.584920e-04	-7.924600e-05	
+45	7.656000e-09	-1.725310e-04	-8.626549e-05	
+46	7.856000e-09	-1.838491e-04	-9.192453e-05	
+47	8.056000e-09	-1.922677e-04	-9.613386e-05	
+48	8.256000e-09	-1.976542e-04	-9.882711e-05	
+49	8.456000e-09	-1.999236e-04	-9.996179e-05	
+50	8.656000e-09	-1.990400e-04	-9.952001e-05	
+51	8.856000e-09	-1.950175e-04	-9.750874e-05	
+52	9.056000e-09	-1.879194e-04	-9.395971e-05	
+53	9.256000e-09	-1.778577e-04	-8.892887e-05	
+54	9.456000e-09	-1.649911e-04	-8.249557e-05	
 
-Index   time            vr4#branch      
+Index   time            vr4#branch      vr5#branch      
 --------------------------------------------------------------------------------
-55	9.656000e-09	-1.495225e-04	
-56	9.856000e-09	-1.316959e-04	
-57	1.000000e-08	-1.175571e-04	
+55	9.656000e-09	-1.495225e-04	-7.476127e-05	
+56	9.856000e-09	-1.316959e-04	-6.584793e-05	
+57	1.000000e-08	-1.175571e-04	-5.877853e-05	
 
                            A paralled resistor array
 --------------------------------------------------------------------------------
@@ -1039,6 +1041,221 @@ Index   frequency                       vr4#branch
 198	9.549926e+07,	0.000000e+00	4.000000e-04,	0.000000e+00	
 199	9.772372e+07,	0.000000e+00	4.000000e-04,	0.000000e+00	
 200	1.000000e+08,	0.000000e+00	4.000000e-04,	0.000000e+00	
+
+                           A paralled resistor array
+--------------------------------------------------------------------------------
+Index   frequency                       vr5#branch                      
+--------------------------------------------------------------------------------
+0	1.000000e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+1	1.023293e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+2	1.047129e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+3	1.071519e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+4	1.096478e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+5	1.122018e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+6	1.148154e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+7	1.174898e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+8	1.202264e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+9	1.230269e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+10	1.258925e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+11	1.288250e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+12	1.318257e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+13	1.348963e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+14	1.380384e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+15	1.412538e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+16	1.445440e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+17	1.479108e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+18	1.513561e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+19	1.548817e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+20	1.584893e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+21	1.621810e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+22	1.659587e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+23	1.698244e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+24	1.737801e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+25	1.778279e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+26	1.819701e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+27	1.862087e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+28	1.905461e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+29	1.949845e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+30	1.995262e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+31	2.041738e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+32	2.089296e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+33	2.137962e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+34	2.187762e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+35	2.238721e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+36	2.290868e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+37	2.344229e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+38	2.398833e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+39	2.454709e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+40	2.511886e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+41	2.570396e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+42	2.630268e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+43	2.691535e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+44	2.754229e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+45	2.818383e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+46	2.884032e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+47	2.951209e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+48	3.019952e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+49	3.090295e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+50	3.162278e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+51	3.235937e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+52	3.311311e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+53	3.388442e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+54	3.467369e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+
+Index   frequency                       vr5#branch                      
+--------------------------------------------------------------------------------
+55	3.548134e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+56	3.630781e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+57	3.715352e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+58	3.801894e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+59	3.890451e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+60	3.981072e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+61	4.073803e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+62	4.168694e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+63	4.265795e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+64	4.365158e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+65	4.466836e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+66	4.570882e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+67	4.677351e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+68	4.786301e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+69	4.897788e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+70	5.011872e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+71	5.128614e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+72	5.248075e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+73	5.370318e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+74	5.495409e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+75	5.623413e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+76	5.754399e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+77	5.888437e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+78	6.025596e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+79	6.165950e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+80	6.309573e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+81	6.456542e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+82	6.606934e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+83	6.760830e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+84	6.918310e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+85	7.079458e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+86	7.244360e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+87	7.413102e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+88	7.585776e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+89	7.762471e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+90	7.943282e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+91	8.128305e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+92	8.317638e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+93	8.511380e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+94	8.709636e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+95	8.912509e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+96	9.120108e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+97	9.332543e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+98	9.549926e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+99	9.772372e+06,	0.000000e+00	2.000000e-04,	0.000000e+00	
+100	1.000000e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+101	1.023293e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+102	1.047129e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+103	1.071519e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+104	1.096478e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+105	1.122018e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+106	1.148154e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+107	1.174898e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+108	1.202264e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+109	1.230269e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+110	1.258925e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+111	1.288250e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+112	1.318257e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+
+Index   frequency                       vr5#branch                      
+--------------------------------------------------------------------------------
+113	1.348963e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+114	1.380384e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+115	1.412538e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+116	1.445440e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+117	1.479108e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+118	1.513561e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+119	1.548817e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+120	1.584893e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+121	1.621810e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+122	1.659587e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+123	1.698244e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+124	1.737801e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+125	1.778279e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+126	1.819701e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+127	1.862087e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+128	1.905461e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+129	1.949845e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+130	1.995262e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+131	2.041738e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+132	2.089296e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+133	2.137962e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+134	2.187762e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+135	2.238721e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+136	2.290868e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+137	2.344229e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+138	2.398833e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+139	2.454709e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+140	2.511886e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+141	2.570396e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+142	2.630268e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+143	2.691535e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+144	2.754229e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+145	2.818383e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+146	2.884032e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+147	2.951209e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+148	3.019952e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+149	3.090295e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+150	3.162278e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+151	3.235937e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+152	3.311311e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+153	3.388442e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+154	3.467369e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+155	3.548134e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+156	3.630781e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+157	3.715352e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+158	3.801894e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+159	3.890451e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+160	3.981072e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+161	4.073803e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+162	4.168694e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+163	4.265795e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+164	4.365158e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+165	4.466836e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+166	4.570882e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+167	4.677351e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+168	4.786301e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+169	4.897788e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+170	5.011872e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+
+Index   frequency                       vr5#branch                      
+--------------------------------------------------------------------------------
+171	5.128614e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+172	5.248075e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+173	5.370318e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+174	5.495409e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+175	5.623413e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+176	5.754399e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+177	5.888437e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+178	6.025596e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+179	6.165950e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+180	6.309573e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+181	6.456542e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+182	6.606934e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+183	6.760830e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+184	6.918310e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+185	7.079458e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+186	7.244360e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+187	7.413102e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+188	7.585776e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+189	7.762471e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+190	7.943282e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+191	8.128305e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+192	8.317638e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+193	8.511380e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+194	8.709636e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+195	8.912509e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+196	9.120108e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+197	9.332543e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+198	9.549926e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+199	9.772372e+07,	0.000000e+00	2.000000e-04,	0.000000e+00	
+200	1.000000e+08,	0.000000e+00	2.000000e-04,	0.000000e+00