| # (a + b i) sqrt(a + b i) |
| 0.0 0.0 0.0 0.0 |
| 0.0 0.5 0.5 0.5 |
| 0.0 1 0.70710678118654757 0.70710678118654757 |
| 0.0 1.5 0.8660254037844386 0.8660254037844386 |
| 0.0 2 1 1 |
| 0.0 2.5 1.1180339887498949 1.1180339887498949 |
| 0.0 3 1.2247448713915889 1.2247448713915889 |
| 0.0 3.5 1.3228756555322954 1.3228756555322954 |
| 0.0 4 1.4142135623730951 1.4142135623730951 |
| 0.0 4.5 1.5 1.5 |
| 0.0 5 1.5811388300841898 1.5811388300841898 |
| 0.5 0.0 0.70710678118654757 0.0 |
| 0.5 0.5 0.77688698701501868 0.32179712645279129 |
| 0.5 1 0.89945371997393364 0.55589297025142115 |
| 0.5 1.5 1.0200830432087846 0.73523425861564329 |
| 0.5 2 1.1317139242778693 0.88361553087551337 |
| 0.5 2.5 1.2348096526988264 1.0123017723970438 |
| 0.5 3 1.3306729998668174 1.1272491439670977 |
| 0.5 3.5 1.4204812399206013 1.2319768475772459 |
| 0.5 4 1.5051792043057988 1.3287454372733092 |
| 0.5 4.5 1.5855113637354841 1.4191005195314228 |
| 0.5 5 1.6620676596577597 1.5041505593790212 |
| 1 0.0 1 0.0 |
| 1 0.5 1.0290855136357462 0.24293413587832283 |
| 1 1 1.09868411346781 0.45508986056222733 |
| 1 1.5 1.1838022718621541 0.63355174916181656 |
| 1 2 1.272019649514069 0.78615137775742328 |
| 1 2.5 1.3587829855365521 0.91994086863429758 |
| 1 3 1.442615274452683 1.0397782600555705 |
| 1 3.5 1.5231636393769807 1.1489244850381291 |
| 1 4 1.6004851804402409 1.2496210676876531 |
| 1 4.5 1.6747794225877095 1.3434604997256978 |
| 1 5 1.7462845577958914 1.4316108957382214 |
| 1.5 0.0 1.2247448713915889 0.0 |
| 1.5 0.5 1.2411967672541269 0.20141850719855617 |
| 1.5 1 1.2850633520826891 0.38908587595285093 |
| 1.5 1.5 1.345607733249115 0.55736897274590136 |
| 1.5 2 1.4142135623730951 0.70710678118654746 |
| 1.5 2.5 1.4858458781822983 0.84127164085765138 |
| 1.5 3 1.5578995420516826 0.96283486804583596 |
| 1.5 3.5 1.6290927771204369 1.0742175182270939 |
| 1.5 4 1.6988233976283063 1.1772854098855481 |
| 1.5 4.5 1.766835658777093 1.27346309138753 |
| 1.5 5 1.8330511796531044 1.3638462623139154 |
| 2 0.0 1.4142135623730951 0.0 |
| 2 0.5 1.425053124063947 0.17543205637629383 |
| 2 1 1.4553466902253549 0.34356074972251244 |
| 2 1.5 1.5 0.5 |
| 2 2 1.5537739740300374 0.64359425290558259 |
| 2 2.5 1.6126937276985398 0.77510067691765838 |
| 2 3 1.6741492280355401 0.89597747612983814 |
| 2 3.5 1.7365380609346395 1.0077521704638683 |
| 2 4 1.7989074399478673 1.1117859405028423 |
| 2 4.5 1.8607026765308385 1.2092205962722542 |
| 2 5 1.9216093264675971 1.3009928530039094 |
| 2.5 0.0 1.5811388300841898 0.0 |
| 2.5 0.5 1.5889477267670564 0.15733683102883511 |
| 2.5 1 1.6113010897357534 0.31030823673184377 |
| 2.5 1.5 1.6455205783311631 0.45578281419040484 |
| 2.5 2 1.6884256155834085 0.5922677260818896 |
| 2.5 2.5 1.7371721138005782 0.71956024971253707 |
| 2.5 3 1.7895704565556125 0.83818996592458894 |
| 2.5 3.5 1.8440665163601493 0.94898962942734877 |
| 2.5 4 1.899603980574412 1.0528510260308201 |
| 2.5 4.5 1.9554814075431017 1.1506118091027704 |
| 2.5 5 2.0112396604767762 1.243014469696446 |
| 3 0.0 1.7320508075688772 0.0 |
| 3 0.5 1.7380134155335381 0.14384238796180673 |
| 3 1 1.7553173018244279 0.28484878459314106 |
| 3 1.5 1.7824283949502271 0.42077426623409642 |
| 3 2 1.8173540210239707 0.55025052270033747 |
| 3 2.5 1.8581072140693775 0.67272759641378144 |
| 3 3 1.9029767059950162 0.78823876050321362 |
| 3 3.5 1.9506117282337923 0.89715445399508653 |
| 3 4 2 1 |
| 3 4.5 2.0504056809807159 1.0973438187723989 |
| 3 5 2.1013033925215678 1.189737764140758 |
| 3.5 0.0 1.8708286933869707 0.0 |
| 3.5 0.5 1.8755711004828286 0.13329273410943604 |
| 3.5 1 1.889451632701967 0.26462704381852126 |
| 3.5 1.5 1.9115290414916477 0.3923560582761238 |
| 3.5 2 1.9405062321658844 0.51532944518495882 |
| 3.5 2.5 1.9749889409211021 0.63291493643352792 |
| 3.5 3 2.0136747786877658 0.74490678230448526 |
| 3.5 3.5 2.0554497644440053 0.85139516920929037 |
| 3.5 4 2.0994133592943678 0.95264707693020423 |
| 3.5 4.5 2.1448632969837136 1.049017903921494 |
| 3.5 5 2.1912642250384651 1.1408939056430383 |
| 4 0.0 2 0.0 |
| 4 0.5 2.0038873314322432 0.12475751309896096 |
| 4 1 2.0153294551533829 0.24809839340235612 |
| 4 1.5 2.0337160412234012 0.36878304777929094 |
| 4 2 2.0581710272714924 0.48586827175664565 |
| 4 2.5 2.0877009563187325 0.59874475614751821 |
| 4 3 2.1213203435596424 0.70710678118654757 |
| 4 3.5 2.1581326310455671 0.81088621469578726 |
| 4 4 2.1973682269356201 0.91017972112445467 |
| 4 4.5 2.2383919774467729 1.0051858756956715 |
| 4 5 2.2806933416652981 1.0961578895015189 |
| 4.5 0.0 2.1213203435596424 0.0 |
| 4.5 0.5 2.1245814374917131 0.11767023639966973 |
| 4.5 1 2.1342179163157686 0.23427785709115115 |
| 4.5 1.5 2.14981586307439 0.34886708805257699 |
| 4.5 2 2.1707635639214664 0.46066739677236351 |
| 4.5 2.5 2.1963395764878322 0.56912875102805172 |
| 4.5 3 2.2257950167519902 0.6739165056577795 |
| 4.5 3.5 2.2584150554643063 0.77487970856633281 |
| 4.5 4 2.293555895263526 0.87200839714883127 |
| 4.5 4.5 2.3306609610450559 0.96539137935837394 |
| 4.5 5 2.3692627570129123 1.0551805588468866 |
| 5 0.0 2.2360679774997898 0.0 |
| 5 0.5 2.2388543733973014 0.11166425247241199 |
| 5 1 2.2471114250958699 0.22250788030178262 |
| 5 1.5 2.260547859972807 0.33177797881661397 |
| 5 2 2.2787238541708499 0.4388421169022545 |
| 5 2.5 2.3011051631498152 0.54321724187910048 |
| 5 3 2.3271175190399496 0.64457423732464691 |
| 5 3.5 2.3561916101907809 0.74272397560158632 |
| 5 4 2.3877944046161983 0.83759305078088142 |
| 5 4.5 2.4214470904334102 0.92919643335972157 |
| 5 5 2.4567323635131153 1.0176118640880409 |
| -0.0 -0.0 0.0 -0.0 |
| -0.0 -0.5 0.5 -0.5 |
| -0.0 -1 0.70710678118654757 -0.70710678118654757 |
| -0.0 -1.5 0.8660254037844386 -0.8660254037844386 |
| -0.0 -2 1 -1 |
| -0.0 -2.5 1.1180339887498949 -1.1180339887498949 |
| -0.0 -3 1.2247448713915889 -1.2247448713915889 |
| -0.0 -3.5 1.3228756555322954 -1.3228756555322954 |
| -0.0 -4 1.4142135623730951 -1.4142135623730951 |
| -0.0 -4.5 1.5 -1.5 |
| -0.0 -5 1.5811388300841898 -1.5811388300841898 |
| -0.5 -0.0 0.0 -0.70710678118654757 |
| -0.5 -0.5 0.32179712645279129 -0.77688698701501868 |
| -0.5 -1 0.55589297025142115 -0.89945371997393364 |
| -0.5 -1.5 0.73523425861564329 -1.0200830432087846 |
| -0.5 -2 0.88361553087551337 -1.1317139242778693 |
| -0.5 -2.5 1.0123017723970438 -1.2348096526988264 |
| -0.5 -3 1.1272491439670977 -1.3306729998668174 |
| -0.5 -3.5 1.2319768475772459 -1.4204812399206013 |
| -0.5 -4 1.3287454372733092 -1.5051792043057988 |
| -0.5 -4.5 1.4191005195314228 -1.5855113637354841 |
| -0.5 -5 1.5041505593790212 -1.6620676596577597 |
| -1 -0.0 0.0 -1 |
| -1 -0.5 0.24293413587832283 -1.0290855136357462 |
| -1 -1 0.45508986056222733 -1.09868411346781 |
| -1 -1.5 0.63355174916181656 -1.1838022718621541 |
| -1 -2 0.78615137775742328 -1.272019649514069 |
| -1 -2.5 0.91994086863429758 -1.3587829855365521 |
| -1 -3 1.0397782600555705 -1.442615274452683 |
| -1 -3.5 1.1489244850381291 -1.5231636393769807 |
| -1 -4 1.2496210676876531 -1.6004851804402409 |
| -1 -4.5 1.3434604997256978 -1.6747794225877095 |
| -1 -5 1.4316108957382214 -1.7462845577958914 |
| -1.5 -0.0 0.0 -1.2247448713915889 |
| -1.5 -0.5 0.20141850719855617 -1.2411967672541269 |
| -1.5 -1 0.38908587595285093 -1.2850633520826891 |
| -1.5 -1.5 0.55736897274590136 -1.345607733249115 |
| -1.5 -2 0.70710678118654746 -1.4142135623730951 |
| -1.5 -2.5 0.84127164085765138 -1.4858458781822983 |
| -1.5 -3 0.96283486804583596 -1.5578995420516826 |
| -1.5 -3.5 1.0742175182270939 -1.6290927771204369 |
| -1.5 -4 1.1772854098855481 -1.6988233976283063 |
| -1.5 -4.5 1.27346309138753 -1.766835658777093 |
| -1.5 -5 1.3638462623139154 -1.8330511796531044 |
| -2 -0.0 0.0 -1.4142135623730951 |
| -2 -0.5 0.17543205637629383 -1.425053124063947 |
| -2 -1 0.34356074972251244 -1.4553466902253549 |
| -2 -1.5 0.5 -1.5 |
| -2 -2 0.64359425290558259 -1.5537739740300374 |
| -2 -2.5 0.77510067691765838 -1.6126937276985398 |
| -2 -3 0.89597747612983814 -1.6741492280355401 |
| -2 -3.5 1.0077521704638683 -1.7365380609346395 |
| -2 -4 1.1117859405028423 -1.7989074399478673 |
| -2 -4.5 1.2092205962722542 -1.8607026765308385 |
| -2 -5 1.3009928530039094 -1.9216093264675971 |
| -2.5 -0.0 0.0 -1.5811388300841898 |
| -2.5 -0.5 0.15733683102883511 -1.5889477267670564 |
| -2.5 -1 0.31030823673184377 -1.6113010897357534 |
| -2.5 -1.5 0.45578281419040484 -1.6455205783311631 |
| -2.5 -2 0.5922677260818896 -1.6884256155834085 |
| -2.5 -2.5 0.71956024971253707 -1.7371721138005782 |
| -2.5 -3 0.83818996592458894 -1.7895704565556125 |
| -2.5 -3.5 0.94898962942734877 -1.8440665163601493 |
| -2.5 -4 1.0528510260308201 -1.899603980574412 |
| -2.5 -4.5 1.1506118091027704 -1.9554814075431017 |
| -2.5 -5 1.243014469696446 -2.0112396604767762 |
| -3 -0.0 0.0 -1.7320508075688772 |
| -3 -0.5 0.14384238796180673 -1.7380134155335381 |
| -3 -1 0.28484878459314106 -1.7553173018244279 |
| -3 -1.5 0.42077426623409642 -1.7824283949502271 |
| -3 -2 0.55025052270033747 -1.8173540210239707 |
| -3 -2.5 0.67272759641378144 -1.8581072140693775 |
| -3 -3 0.78823876050321362 -1.9029767059950162 |
| -3 -3.5 0.89715445399508653 -1.9506117282337923 |
| -3 -4 1 -2 |
| -3 -4.5 1.0973438187723989 -2.0504056809807159 |
| -3 -5 1.189737764140758 -2.1013033925215678 |
| -3.5 -0.0 0.0 -1.8708286933869707 |
| -3.5 -0.5 0.13329273410943604 -1.8755711004828286 |
| -3.5 -1 0.26462704381852126 -1.889451632701967 |
| -3.5 -1.5 0.3923560582761238 -1.9115290414916477 |
| -3.5 -2 0.51532944518495882 -1.9405062321658844 |
| -3.5 -2.5 0.63291493643352792 -1.9749889409211021 |
| -3.5 -3 0.74490678230448526 -2.0136747786877658 |
| -3.5 -3.5 0.85139516920929037 -2.0554497644440053 |
| -3.5 -4 0.95264707693020423 -2.0994133592943678 |
| -3.5 -4.5 1.049017903921494 -2.1448632969837136 |
| -3.5 -5 1.1408939056430383 -2.1912642250384651 |
| -4 -0.0 0.0 -2 |
| -4 -0.5 0.12475751309896096 -2.0038873314322432 |
| -4 -1 0.24809839340235612 -2.0153294551533829 |
| -4 -1.5 0.36878304777929094 -2.0337160412234012 |
| -4 -2 0.48586827175664565 -2.0581710272714924 |
| -4 -2.5 0.59874475614751821 -2.0877009563187325 |
| -4 -3 0.70710678118654757 -2.1213203435596424 |
| -4 -3.5 0.81088621469578726 -2.1581326310455671 |
| -4 -4 0.91017972112445467 -2.1973682269356201 |
| -4 -4.5 1.0051858756956715 -2.2383919774467729 |
| -4 -5 1.0961578895015189 -2.2806933416652981 |
| -4.5 -0.0 0.0 -2.1213203435596424 |
| -4.5 -0.5 0.11767023639966973 -2.1245814374917131 |
| -4.5 -1 0.23427785709115115 -2.1342179163157686 |
| -4.5 -1.5 0.34886708805257699 -2.14981586307439 |
| -4.5 -2 0.46066739677236351 -2.1707635639214664 |
| -4.5 -2.5 0.56912875102805172 -2.1963395764878322 |
| -4.5 -3 0.6739165056577795 -2.2257950167519902 |
| -4.5 -3.5 0.77487970856633281 -2.2584150554643063 |
| -4.5 -4 0.87200839714883127 -2.293555895263526 |
| -4.5 -4.5 0.96539137935837394 -2.3306609610450559 |
| -4.5 -5 1.0551805588468866 -2.3692627570129123 |
| -5 -0.0 0.0 -2.2360679774997898 |
| -5 -0.5 0.11166425247241199 -2.2388543733973014 |
| -5 -1 0.22250788030178262 -2.2471114250958699 |
| -5 -1.5 0.33177797881661397 -2.260547859972807 |
| -5 -2 0.4388421169022545 -2.2787238541708499 |
| -5 -2.5 0.54321724187910048 -2.3011051631498152 |
| -5 -3 0.64457423732464691 -2.3271175190399496 |
| -5 -3.5 0.74272397560158632 -2.3561916101907809 |
| -5 -4 0.83759305078088142 -2.3877944046161983 |
| -5 -4.5 0.92919643335972157 -2.4214470904334102 |
| -5 -5 1.0176118640880409 -2.4567323635131153 |
