Properties

Label 273.2.cg.b.115.6
Level $273$
Weight $2$
Character 273.115
Analytic conductor $2.180$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 115.6
Character \(\chi\) \(=\) 273.115
Dual form 273.2.cg.b.19.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.446344 - 0.119598i) q^{2} -1.00000i q^{3} +(-1.54713 + 0.893237i) q^{4} +(-2.09830 - 0.562238i) q^{5} +(-0.119598 - 0.446344i) q^{6} +(-1.26927 + 2.32141i) q^{7} +(-1.23722 + 1.23722i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(0.446344 - 0.119598i) q^{2} -1.00000i q^{3} +(-1.54713 + 0.893237i) q^{4} +(-2.09830 - 0.562238i) q^{5} +(-0.119598 - 0.446344i) q^{6} +(-1.26927 + 2.32141i) q^{7} +(-1.23722 + 1.23722i) q^{8} -1.00000 q^{9} -1.00381 q^{10} +(-4.08324 + 4.08324i) q^{11} +(0.893237 + 1.54713i) q^{12} +(2.90451 - 2.13632i) q^{13} +(-0.288898 + 1.18795i) q^{14} +(-0.562238 + 2.09830i) q^{15} +(1.38222 - 2.39407i) q^{16} +(0.0614826 + 0.106491i) q^{17} +(-0.446344 + 0.119598i) q^{18} +(-2.29432 + 2.29432i) q^{19} +(3.74856 - 1.00442i) q^{20} +(2.32141 + 1.26927i) q^{21} +(-1.33418 + 2.31087i) q^{22} +(-2.23293 - 1.28919i) q^{23} +(1.23722 + 1.23722i) q^{24} +(-0.243373 - 0.140512i) q^{25} +(1.04091 - 1.30091i) q^{26} +1.00000i q^{27} +(-0.109837 - 4.72529i) q^{28} +(-4.15898 - 7.20357i) q^{29} +1.00381i q^{30} +(0.940109 + 3.50854i) q^{31} +(1.23633 - 4.61403i) q^{32} +(4.08324 + 4.08324i) q^{33} +(0.0401785 + 0.0401785i) q^{34} +(3.96850 - 4.15738i) q^{35} +(1.54713 - 0.893237i) q^{36} +(1.75574 + 6.55250i) q^{37} +(-0.749661 + 1.29845i) q^{38} +(-2.13632 - 2.90451i) q^{39} +(3.29167 - 1.90044i) q^{40} +(-2.63970 - 0.707305i) q^{41} +(1.18795 + 0.288898i) q^{42} +(3.72224 + 2.14904i) q^{43} +(2.67001 - 9.96459i) q^{44} +(2.09830 + 0.562238i) q^{45} +(-1.15084 - 0.308367i) q^{46} +(0.591665 - 2.20812i) q^{47} +(-2.39407 - 1.38222i) q^{48} +(-3.77789 - 5.89301i) q^{49} +(-0.125433 - 0.0336097i) q^{50} +(0.106491 - 0.0614826i) q^{51} +(-2.58541 + 5.89957i) q^{52} +(-4.49855 + 7.79171i) q^{53} +(0.119598 + 0.446344i) q^{54} +(10.8636 - 6.27210i) q^{55} +(-1.30172 - 4.44246i) q^{56} +(2.29432 + 2.29432i) q^{57} +(-2.71787 - 2.71787i) q^{58} +(-1.94771 + 7.26896i) q^{59} +(-1.00442 - 3.74856i) q^{60} +6.15529i q^{61} +(0.839225 + 1.45358i) q^{62} +(1.26927 - 2.32141i) q^{63} +3.32156i q^{64} +(-7.29564 + 2.84961i) q^{65} +(2.31087 + 1.33418i) q^{66} +(-7.99656 - 7.99656i) q^{67} +(-0.190243 - 0.109837i) q^{68} +(-1.28919 + 2.23293i) q^{69} +(1.27411 - 2.33025i) q^{70} +(7.44892 - 1.99593i) q^{71} +(1.23722 - 1.23722i) q^{72} +(12.0831 - 3.23765i) q^{73} +(1.56733 + 2.71469i) q^{74} +(-0.140512 + 0.243373i) q^{75} +(1.50024 - 5.59898i) q^{76} +(-4.29612 - 14.6616i) q^{77} +(-1.30091 - 1.04091i) q^{78} +(6.34069 + 10.9824i) q^{79} +(-4.24634 + 4.24634i) q^{80} +1.00000 q^{81} -1.26281 q^{82} +(4.76169 - 4.76169i) q^{83} +(-4.72529 + 0.109837i) q^{84} +(-0.0691357 - 0.258018i) q^{85} +(1.91842 + 0.514039i) q^{86} +(-7.20357 + 4.15898i) q^{87} -10.1037i q^{88} +(0.966637 - 0.259010i) q^{89} +1.00381 q^{90} +(1.27266 + 9.45412i) q^{91} +4.60619 q^{92} +(3.50854 - 0.940109i) q^{93} -1.05634i q^{94} +(6.10412 - 3.52421i) q^{95} +(-4.61403 - 1.23633i) q^{96} +(2.38150 + 8.88790i) q^{97} +(-2.39103 - 2.17848i) q^{98} +(4.08324 - 4.08324i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 8q^{7} - 40q^{9} + O(q^{10}) \) \( 40q - 8q^{7} - 40q^{9} + 4q^{11} - 24q^{12} - 18q^{14} + 32q^{16} + 4q^{17} + 14q^{19} + 14q^{20} + 2q^{21} + 4q^{22} + 12q^{23} + 24q^{25} - 32q^{26} + 16q^{28} + 8q^{29} + 14q^{31} - 26q^{32} - 4q^{33} - 24q^{34} + 26q^{35} + 36q^{37} - 8q^{38} + 18q^{39} - 30q^{40} - 2q^{41} - 66q^{43} - 32q^{44} - 26q^{46} - 4q^{47} + 24q^{48} - 14q^{49} - 20q^{50} + 2q^{52} - 8q^{53} - 42q^{55} + 46q^{56} - 14q^{57} + 24q^{58} + 14q^{59} + 2q^{60} + 24q^{62} + 8q^{63} + 28q^{65} - 18q^{66} - 44q^{67} - 18q^{68} + 4q^{69} - 4q^{70} - 6q^{71} + 14q^{73} - 20q^{74} + 24q^{75} - 64q^{76} + 24q^{77} + 8q^{78} + 20q^{80} + 40q^{81} + 48q^{82} - 12q^{83} + 22q^{84} + 2q^{85} - 60q^{86} + 18q^{87} - 2q^{89} - 14q^{91} + 236q^{92} - 8q^{93} + 24q^{95} + 16q^{96} - 62q^{97} - 88q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.446344 0.119598i 0.315613 0.0845683i −0.0975351 0.995232i \(-0.531096\pi\)
0.413148 + 0.910664i \(0.364429\pi\)
\(3\) 1.00000i 0.577350i
\(4\) −1.54713 + 0.893237i −0.773566 + 0.446618i
\(5\) −2.09830 0.562238i −0.938389 0.251440i −0.242960 0.970036i \(-0.578119\pi\)
−0.695428 + 0.718596i \(0.744785\pi\)
\(6\) −0.119598 0.446344i −0.0488255 0.182219i
\(7\) −1.26927 + 2.32141i −0.479740 + 0.877411i
\(8\) −1.23722 + 1.23722i −0.437423 + 0.437423i
\(9\) −1.00000 −0.333333
\(10\) −1.00381 −0.317432
\(11\) −4.08324 + 4.08324i −1.23114 + 1.23114i −0.267616 + 0.963526i \(0.586236\pi\)
−0.963526 + 0.267616i \(0.913764\pi\)
\(12\) 0.893237 + 1.54713i 0.257855 + 0.446618i
\(13\) 2.90451 2.13632i 0.805565 0.592508i
\(14\) −0.288898 + 1.18795i −0.0772112 + 0.317493i
\(15\) −0.562238 + 2.09830i −0.145169 + 0.541779i
\(16\) 1.38222 2.39407i 0.345554 0.598517i
\(17\) 0.0614826 + 0.106491i 0.0149117 + 0.0258279i 0.873385 0.487030i \(-0.161920\pi\)
−0.858473 + 0.512858i \(0.828587\pi\)
\(18\) −0.446344 + 0.119598i −0.105204 + 0.0281894i
\(19\) −2.29432 + 2.29432i −0.526352 + 0.526352i −0.919483 0.393130i \(-0.871392\pi\)
0.393130 + 0.919483i \(0.371392\pi\)
\(20\) 3.74856 1.00442i 0.838203 0.224596i
\(21\) 2.32141 + 1.26927i 0.506573 + 0.276978i
\(22\) −1.33418 + 2.31087i −0.284449 + 0.492680i
\(23\) −2.23293 1.28919i −0.465599 0.268814i 0.248797 0.968556i \(-0.419965\pi\)
−0.714396 + 0.699742i \(0.753298\pi\)
\(24\) 1.23722 + 1.23722i 0.252546 + 0.252546i
\(25\) −0.243373 0.140512i −0.0486747 0.0281023i
\(26\) 1.04091 1.30091i 0.204139 0.255128i
\(27\) 1.00000i 0.192450i
\(28\) −0.109837 4.72529i −0.0207572 0.892995i
\(29\) −4.15898 7.20357i −0.772303 1.33767i −0.936298 0.351207i \(-0.885771\pi\)
0.163994 0.986461i \(-0.447562\pi\)
\(30\) 1.00381i 0.183269i
\(31\) 0.940109 + 3.50854i 0.168849 + 0.630152i 0.997518 + 0.0704132i \(0.0224318\pi\)
−0.828669 + 0.559739i \(0.810902\pi\)
\(32\) 1.23633 4.61403i 0.218554 0.815653i
\(33\) 4.08324 + 4.08324i 0.710800 + 0.710800i
\(34\) 0.0401785 + 0.0401785i 0.00689055 + 0.00689055i
\(35\) 3.96850 4.15738i 0.670799 0.702726i
\(36\) 1.54713 0.893237i 0.257855 0.148873i
\(37\) 1.75574 + 6.55250i 0.288641 + 1.07722i 0.946137 + 0.323766i \(0.104949\pi\)
−0.657496 + 0.753458i \(0.728384\pi\)
\(38\) −0.749661 + 1.29845i −0.121611 + 0.210636i
\(39\) −2.13632 2.90451i −0.342085 0.465093i
\(40\) 3.29167 1.90044i 0.520458 0.300487i
\(41\) −2.63970 0.707305i −0.412251 0.110462i 0.0467316 0.998907i \(-0.485119\pi\)
−0.458983 + 0.888445i \(0.651786\pi\)
\(42\) 1.18795 + 0.288898i 0.183305 + 0.0445779i
\(43\) 3.72224 + 2.14904i 0.567636 + 0.327725i 0.756205 0.654335i \(-0.227051\pi\)
−0.188569 + 0.982060i \(0.560385\pi\)
\(44\) 2.67001 9.96459i 0.402518 1.50222i
\(45\) 2.09830 + 0.562238i 0.312796 + 0.0838135i
\(46\) −1.15084 0.308367i −0.169682 0.0454662i
\(47\) 0.591665 2.20812i 0.0863032 0.322088i −0.909255 0.416240i \(-0.863347\pi\)
0.995558 + 0.0941526i \(0.0300142\pi\)
\(48\) −2.39407 1.38222i −0.345554 0.199506i
\(49\) −3.77789 5.89301i −0.539699 0.841858i
\(50\) −0.125433 0.0336097i −0.0177389 0.00475313i
\(51\) 0.106491 0.0614826i 0.0149117 0.00860929i
\(52\) −2.58541 + 5.89957i −0.358532 + 0.818124i
\(53\) −4.49855 + 7.79171i −0.617923 + 1.07027i 0.371941 + 0.928256i \(0.378692\pi\)
−0.989864 + 0.142017i \(0.954641\pi\)
\(54\) 0.119598 + 0.446344i 0.0162752 + 0.0607398i
\(55\) 10.8636 6.27210i 1.46485 0.845730i
\(56\) −1.30172 4.44246i −0.173950 0.593648i
\(57\) 2.29432 + 2.29432i 0.303890 + 0.303890i
\(58\) −2.71787 2.71787i −0.356873 0.356873i
\(59\) −1.94771 + 7.26896i −0.253571 + 0.946339i 0.715309 + 0.698808i \(0.246286\pi\)
−0.968880 + 0.247531i \(0.920381\pi\)
\(60\) −1.00442 3.74856i −0.129670 0.483937i
\(61\) 6.15529i 0.788104i 0.919088 + 0.394052i \(0.128927\pi\)
−0.919088 + 0.394052i \(0.871073\pi\)
\(62\) 0.839225 + 1.45358i 0.106582 + 0.184605i
\(63\) 1.26927 2.32141i 0.159913 0.292470i
\(64\) 3.32156i 0.415195i
\(65\) −7.29564 + 2.84961i −0.904913 + 0.353451i
\(66\) 2.31087 + 1.33418i 0.284449 + 0.164227i
\(67\) −7.99656 7.99656i −0.976936 0.976936i 0.0228041 0.999740i \(-0.492741\pi\)
−0.999740 + 0.0228041i \(0.992741\pi\)
\(68\) −0.190243 0.109837i −0.0230704 0.0133197i
\(69\) −1.28919 + 2.23293i −0.155200 + 0.268814i
\(70\) 1.27411 2.33025i 0.152285 0.278518i
\(71\) 7.44892 1.99593i 0.884024 0.236873i 0.211881 0.977295i \(-0.432041\pi\)
0.672142 + 0.740422i \(0.265374\pi\)
\(72\) 1.23722 1.23722i 0.145808 0.145808i
\(73\) 12.0831 3.23765i 1.41422 0.378939i 0.530789 0.847504i \(-0.321896\pi\)
0.883429 + 0.468565i \(0.155229\pi\)
\(74\) 1.56733 + 2.71469i 0.182198 + 0.315576i
\(75\) −0.140512 + 0.243373i −0.0162249 + 0.0281023i
\(76\) 1.50024 5.59898i 0.172089 0.642247i
\(77\) −4.29612 14.6616i −0.489589 1.67084i
\(78\) −1.30091 1.04091i −0.147298 0.117860i
\(79\) 6.34069 + 10.9824i 0.713384 + 1.23562i 0.963580 + 0.267422i \(0.0861717\pi\)
−0.250196 + 0.968195i \(0.580495\pi\)
\(80\) −4.24634 + 4.24634i −0.474755 + 0.474755i
\(81\) 1.00000 0.111111
\(82\) −1.26281 −0.139454
\(83\) 4.76169 4.76169i 0.522663 0.522663i −0.395712 0.918375i \(-0.629502\pi\)
0.918375 + 0.395712i \(0.129502\pi\)
\(84\) −4.72529 + 0.109837i −0.515571 + 0.0119842i
\(85\) −0.0691357 0.258018i −0.00749882 0.0279860i
\(86\) 1.91842 + 0.514039i 0.206869 + 0.0554303i
\(87\) −7.20357 + 4.15898i −0.772303 + 0.445890i
\(88\) 10.1037i 1.07706i
\(89\) 0.966637 0.259010i 0.102463 0.0274550i −0.207223 0.978294i \(-0.566443\pi\)
0.309686 + 0.950839i \(0.399776\pi\)
\(90\) 1.00381 0.105811
\(91\) 1.27266 + 9.45412i 0.133411 + 0.991061i
\(92\) 4.60619 0.480228
\(93\) 3.50854 0.940109i 0.363818 0.0974848i
\(94\) 1.05634i 0.108954i
\(95\) 6.10412 3.52421i 0.626269 0.361577i
\(96\) −4.61403 1.23633i −0.470918 0.126182i
\(97\) 2.38150 + 8.88790i 0.241805 + 0.902429i 0.974962 + 0.222370i \(0.0713793\pi\)
−0.733157 + 0.680059i \(0.761954\pi\)
\(98\) −2.39103 2.17848i −0.241531 0.220060i
\(99\) 4.08324 4.08324i 0.410381 0.410381i
\(100\) 0.502040 0.0502040
\(101\) −5.93884 −0.590937 −0.295468 0.955353i \(-0.595476\pi\)
−0.295468 + 0.955353i \(0.595476\pi\)
\(102\) 0.0401785 0.0401785i 0.00397826 0.00397826i
\(103\) 1.74407 + 3.02081i 0.171848 + 0.297649i 0.939066 0.343737i \(-0.111693\pi\)
−0.767218 + 0.641386i \(0.778360\pi\)
\(104\) −0.950416 + 6.23660i −0.0931959 + 0.611548i
\(105\) −4.15738 3.96850i −0.405719 0.387286i
\(106\) −1.07603 + 4.01580i −0.104513 + 0.390049i
\(107\) −3.35243 + 5.80657i −0.324091 + 0.561343i −0.981328 0.192342i \(-0.938392\pi\)
0.657237 + 0.753684i \(0.271725\pi\)
\(108\) −0.893237 1.54713i −0.0859517 0.148873i
\(109\) −13.2741 + 3.55678i −1.27143 + 0.340678i −0.830577 0.556903i \(-0.811989\pi\)
−0.440850 + 0.897581i \(0.645323\pi\)
\(110\) 4.09878 4.09878i 0.390803 0.390803i
\(111\) 6.55250 1.75574i 0.621935 0.166647i
\(112\) 3.80321 + 6.24742i 0.359369 + 0.590325i
\(113\) −5.21688 + 9.03590i −0.490763 + 0.850026i −0.999943 0.0106335i \(-0.996615\pi\)
0.509181 + 0.860660i \(0.329949\pi\)
\(114\) 1.29845 + 0.749661i 0.121611 + 0.0702122i
\(115\) 3.96054 + 3.96054i 0.369322 + 0.369322i
\(116\) 12.8690 + 7.42991i 1.19485 + 0.689850i
\(117\) −2.90451 + 2.13632i −0.268522 + 0.197503i
\(118\) 3.47740i 0.320121i
\(119\) −0.325247 + 0.00756022i −0.0298154 + 0.000693044i
\(120\) −1.90044 3.29167i −0.173486 0.300487i
\(121\) 22.3456i 2.03142i
\(122\) 0.736157 + 2.74738i 0.0666486 + 0.248736i
\(123\) −0.707305 + 2.63970i −0.0637755 + 0.238013i
\(124\) −4.58843 4.58843i −0.412053 0.412053i
\(125\) 8.11198 + 8.11198i 0.725558 + 0.725558i
\(126\) 0.288898 1.18795i 0.0257371 0.105831i
\(127\) −8.07987 + 4.66492i −0.716973 + 0.413944i −0.813637 0.581373i \(-0.802516\pi\)
0.0966648 + 0.995317i \(0.469183\pi\)
\(128\) 2.86990 + 10.7106i 0.253666 + 0.946694i
\(129\) 2.14904 3.72224i 0.189212 0.327725i
\(130\) −2.91556 + 2.14445i −0.255712 + 0.188081i
\(131\) 5.51203 3.18237i 0.481589 0.278045i −0.239490 0.970899i \(-0.576980\pi\)
0.721078 + 0.692854i \(0.243647\pi\)
\(132\) −9.96459 2.67001i −0.867307 0.232394i
\(133\) −2.41394 8.23817i −0.209315 0.714340i
\(134\) −4.52559 2.61285i −0.390952 0.225716i
\(135\) 0.562238 2.09830i 0.0483897 0.180593i
\(136\) −0.207820 0.0556852i −0.0178204 0.00477496i
\(137\) −13.4562 3.60558i −1.14964 0.308046i −0.366820 0.930292i \(-0.619554\pi\)
−0.782822 + 0.622246i \(0.786220\pi\)
\(138\) −0.308367 + 1.15084i −0.0262499 + 0.0979661i
\(139\) −16.9801 9.80347i −1.44023 0.831520i −0.442370 0.896833i \(-0.645862\pi\)
−0.997865 + 0.0653129i \(0.979195\pi\)
\(140\) −2.42626 + 9.97683i −0.205057 + 0.843196i
\(141\) −2.20812 0.591665i −0.185957 0.0498272i
\(142\) 3.08607 1.78175i 0.258978 0.149521i
\(143\) −3.13669 + 20.5829i −0.262303 + 1.72123i
\(144\) −1.38222 + 2.39407i −0.115185 + 0.199506i
\(145\) 4.67667 + 17.4536i 0.388377 + 1.44944i
\(146\) 5.00600 2.89022i 0.414300 0.239196i
\(147\) −5.89301 + 3.77789i −0.486047 + 0.311595i
\(148\) −8.56928 8.56928i −0.704391 0.704391i
\(149\) −14.7002 14.7002i −1.20429 1.20429i −0.972850 0.231437i \(-0.925657\pi\)
−0.231437 0.972850i \(-0.574343\pi\)
\(150\) −0.0336097 + 0.125433i −0.00274422 + 0.0102416i
\(151\) 1.64385 + 6.13492i 0.133774 + 0.499252i 1.00000 0.000400666i \(-0.000127536\pi\)
−0.866226 + 0.499653i \(0.833461\pi\)
\(152\) 5.67714i 0.460477i
\(153\) −0.0614826 0.106491i −0.00497057 0.00860929i
\(154\) −3.67104 6.03032i −0.295821 0.485937i
\(155\) 7.89053i 0.633783i
\(156\) 5.89957 + 2.58541i 0.472344 + 0.206999i
\(157\) −14.9626 8.63869i −1.19415 0.689442i −0.234904 0.972018i \(-0.575478\pi\)
−0.959245 + 0.282576i \(0.908811\pi\)
\(158\) 4.14360 + 4.14360i 0.329647 + 0.329647i
\(159\) 7.79171 + 4.49855i 0.617923 + 0.356758i
\(160\) −5.18837 + 8.98651i −0.410176 + 0.710446i
\(161\) 5.82693 3.54723i 0.459227 0.279561i
\(162\) 0.446344 0.119598i 0.0350681 0.00939648i
\(163\) −5.15058 + 5.15058i −0.403424 + 0.403424i −0.879438 0.476014i \(-0.842081\pi\)
0.476014 + 0.879438i \(0.342081\pi\)
\(164\) 4.71575 1.26358i 0.368238 0.0986691i
\(165\) −6.27210 10.8636i −0.488283 0.845730i
\(166\) 1.55587 2.69484i 0.120759 0.209160i
\(167\) −3.95502 + 14.7603i −0.306049 + 1.14219i 0.625990 + 0.779831i \(0.284695\pi\)
−0.932039 + 0.362359i \(0.881971\pi\)
\(168\) −4.44246 + 1.30172i −0.342743 + 0.100430i
\(169\) 3.87230 12.4099i 0.297869 0.954607i
\(170\) −0.0617167 0.106896i −0.00473345 0.00819858i
\(171\) 2.29432 2.29432i 0.175451 0.175451i
\(172\) −7.67839 −0.585472
\(173\) 13.4460 1.02228 0.511139 0.859498i \(-0.329224\pi\)
0.511139 + 0.859498i \(0.329224\pi\)
\(174\) −2.71787 + 2.71787i −0.206041 + 0.206041i
\(175\) 0.635092 0.386622i 0.0480085 0.0292258i
\(176\) 4.13163 + 15.4195i 0.311433 + 1.16229i
\(177\) 7.26896 + 1.94771i 0.546369 + 0.146399i
\(178\) 0.400476 0.231215i 0.0300170 0.0173303i
\(179\) 10.1614i 0.759502i 0.925089 + 0.379751i \(0.123990\pi\)
−0.925089 + 0.379751i \(0.876010\pi\)
\(180\) −3.74856 + 1.00442i −0.279401 + 0.0748653i
\(181\) 13.2772 0.986890 0.493445 0.869777i \(-0.335737\pi\)
0.493445 + 0.869777i \(0.335737\pi\)
\(182\) 1.69873 + 4.06759i 0.125919 + 0.301509i
\(183\) 6.15529 0.455012
\(184\) 4.35763 1.16762i 0.321249 0.0860783i
\(185\) 14.7362i 1.08343i
\(186\) 1.45358 0.839225i 0.106582 0.0615350i
\(187\) −0.685876 0.183780i −0.0501562 0.0134393i
\(188\) 1.05699 + 3.94475i 0.0770891 + 0.287701i
\(189\) −2.32141 1.26927i −0.168858 0.0923260i
\(190\) 2.30305 2.30305i 0.167081 0.167081i
\(191\) −2.84564 −0.205903 −0.102952 0.994686i \(-0.532829\pi\)
−0.102952 + 0.994686i \(0.532829\pi\)
\(192\) 3.32156 0.239713
\(193\) 6.48459 6.48459i 0.466771 0.466771i −0.434096 0.900867i \(-0.642932\pi\)
0.900867 + 0.434096i \(0.142932\pi\)
\(194\) 2.12594 + 3.68224i 0.152634 + 0.264369i
\(195\) 2.84961 + 7.29564i 0.204065 + 0.522452i
\(196\) 11.1087 + 5.74270i 0.793482 + 0.410193i
\(197\) −5.08063 + 18.9612i −0.361980 + 1.35093i 0.509490 + 0.860477i \(0.329834\pi\)
−0.871469 + 0.490450i \(0.836833\pi\)
\(198\) 1.33418 2.31087i 0.0948163 0.164227i
\(199\) 6.50154 + 11.2610i 0.460882 + 0.798271i 0.999005 0.0445950i \(-0.0141997\pi\)
−0.538123 + 0.842866i \(0.680866\pi\)
\(200\) 0.474949 0.127262i 0.0335840 0.00899880i
\(201\) −7.99656 + 7.99656i −0.564034 + 0.564034i
\(202\) −2.65077 + 0.710271i −0.186507 + 0.0499745i
\(203\) 22.0013 0.511410i 1.54419 0.0358939i
\(204\) −0.109837 + 0.190243i −0.00769013 + 0.0133197i
\(205\) 5.14120 + 2.96828i 0.359077 + 0.207313i
\(206\) 1.13974 + 1.13974i 0.0794091 + 0.0794091i
\(207\) 2.23293 + 1.28919i 0.155200 + 0.0896046i
\(208\) −1.09984 9.90644i −0.0762599 0.686888i
\(209\) 18.7365i 1.29603i
\(210\) −2.33025 1.27411i −0.160802 0.0879216i
\(211\) −6.27387 10.8667i −0.431911 0.748092i 0.565127 0.825004i \(-0.308827\pi\)
−0.997038 + 0.0769120i \(0.975494\pi\)
\(212\) 16.0731i 1.10390i
\(213\) −1.99593 7.44892i −0.136759 0.510391i
\(214\) −0.801884 + 2.99267i −0.0548157 + 0.204575i
\(215\) −6.60211 6.60211i −0.450260 0.450260i
\(216\) −1.23722 1.23722i −0.0841820 0.0841820i
\(217\) −9.33801 2.27091i −0.633905 0.154159i
\(218\) −5.49943 + 3.17510i −0.372469 + 0.215045i
\(219\) −3.23765 12.0831i −0.218780 0.816499i
\(220\) −11.2049 + 19.4075i −0.755437 + 1.30846i
\(221\) 0.406075 + 0.177957i 0.0273156 + 0.0119707i
\(222\) 2.71469 1.56733i 0.182198 0.105192i
\(223\) −8.42664 2.25791i −0.564290 0.151201i −0.0346134 0.999401i \(-0.511020\pi\)
−0.529676 + 0.848200i \(0.677687\pi\)
\(224\) 9.14182 + 8.72648i 0.610814 + 0.583063i
\(225\) 0.243373 + 0.140512i 0.0162249 + 0.00936744i
\(226\) −1.24785 + 4.65705i −0.0830059 + 0.309782i
\(227\) −8.26708 2.21516i −0.548705 0.147025i −0.0261929 0.999657i \(-0.508338\pi\)
−0.522512 + 0.852632i \(0.675005\pi\)
\(228\) −5.59898 1.50024i −0.370801 0.0993559i
\(229\) −0.0597552 + 0.223009i −0.00394873 + 0.0147369i −0.967872 0.251443i \(-0.919095\pi\)
0.963923 + 0.266180i \(0.0857615\pi\)
\(230\) 2.24144 + 1.29409i 0.147796 + 0.0853300i
\(231\) −14.6616 + 4.29612i −0.964663 + 0.282664i
\(232\) 14.0579 + 3.76682i 0.922949 + 0.247304i
\(233\) −10.6007 + 6.12033i −0.694476 + 0.400956i −0.805287 0.592886i \(-0.797989\pi\)
0.110811 + 0.993842i \(0.464655\pi\)
\(234\) −1.04091 + 1.30091i −0.0680465 + 0.0850428i
\(235\) −2.48298 + 4.30065i −0.161972 + 0.280543i
\(236\) −3.47954 12.9858i −0.226499 0.845304i
\(237\) 10.9824 6.34069i 0.713384 0.411872i
\(238\) −0.144268 + 0.0422733i −0.00935152 + 0.00274017i
\(239\) 20.1615 + 20.1615i 1.30414 + 1.30414i 0.925577 + 0.378559i \(0.123580\pi\)
0.378559 + 0.925577i \(0.376420\pi\)
\(240\) 4.24634 + 4.24634i 0.274100 + 0.274100i
\(241\) 7.89165 29.4520i 0.508346 1.89717i 0.0719708 0.997407i \(-0.477071\pi\)
0.436375 0.899765i \(-0.356262\pi\)
\(242\) −2.67248 9.97384i −0.171794 0.641143i
\(243\) 1.00000i 0.0641500i
\(244\) −5.49813 9.52303i −0.351981 0.609650i
\(245\) 4.61388 + 14.4894i 0.294770 + 0.925692i
\(246\) 1.26281i 0.0805136i
\(247\) −1.76247 + 11.5652i −0.112143 + 0.735879i
\(248\) −5.50394 3.17770i −0.349501 0.201784i
\(249\) −4.76169 4.76169i −0.301760 0.301760i
\(250\) 4.59091 + 2.65056i 0.290355 + 0.167636i
\(251\) 9.75242 16.8917i 0.615567 1.06619i −0.374717 0.927139i \(-0.622260\pi\)
0.990285 0.139055i \(-0.0444064\pi\)
\(252\) 0.109837 + 4.72529i 0.00691908 + 0.297665i
\(253\) 14.3816 3.85355i 0.904166 0.242271i
\(254\) −3.04849 + 3.04849i −0.191279 + 0.191279i
\(255\) −0.258018 + 0.0691357i −0.0161577 + 0.00432945i
\(256\) −0.759627 1.31571i −0.0474767 0.0822320i
\(257\) 12.0391 20.8524i 0.750981 1.30074i −0.196366 0.980531i \(-0.562914\pi\)
0.947347 0.320207i \(-0.103753\pi\)
\(258\) 0.514039 1.91842i 0.0320027 0.119436i
\(259\) −17.4395 4.24112i −1.08364 0.263530i
\(260\) 8.74194 10.9255i 0.542152 0.677568i
\(261\) 4.15898 + 7.20357i 0.257434 + 0.445890i
\(262\) 2.07966 2.07966i 0.128482 0.128482i
\(263\) 3.22418 0.198812 0.0994058 0.995047i \(-0.468306\pi\)
0.0994058 + 0.995047i \(0.468306\pi\)
\(264\) −10.1037 −0.621840
\(265\) 13.8201 13.8201i 0.848962 0.848962i
\(266\) −2.06271 3.38836i −0.126473 0.207754i
\(267\) −0.259010 0.966637i −0.0158511 0.0591572i
\(268\) 19.5146 + 5.22891i 1.19204 + 0.319407i
\(269\) 11.2824 6.51391i 0.687901 0.397160i −0.114924 0.993374i \(-0.536662\pi\)
0.802825 + 0.596214i \(0.203329\pi\)
\(270\) 1.00381i 0.0610897i
\(271\) 16.9418 4.53953i 1.02914 0.275757i 0.295533 0.955332i \(-0.404503\pi\)
0.733605 + 0.679576i \(0.237836\pi\)
\(272\) 0.339929 0.0206112
\(273\) 9.45412 1.27266i 0.572189 0.0770248i
\(274\) −6.43733 −0.388893
\(275\) 1.56749 0.420008i 0.0945233 0.0253275i
\(276\) 4.60619i 0.277260i
\(277\) 19.2494 11.1136i 1.15658 0.667753i 0.206099 0.978531i \(-0.433923\pi\)
0.950482 + 0.310778i \(0.100590\pi\)
\(278\) −8.75145 2.34494i −0.524877 0.140640i
\(279\) −0.940109 3.50854i −0.0562829 0.210051i
\(280\) 0.233688 + 10.0535i 0.0139656 + 0.600811i
\(281\) −10.8193 + 10.8193i −0.645426 + 0.645426i −0.951884 0.306458i \(-0.900856\pi\)
0.306458 + 0.951884i \(0.400856\pi\)
\(282\) −1.05634 −0.0629044
\(283\) −22.2153 −1.32057 −0.660283 0.751017i \(-0.729563\pi\)
−0.660283 + 0.751017i \(0.729563\pi\)
\(284\) −9.74161 + 9.74161i −0.578058 + 0.578058i
\(285\) −3.52421 6.10412i −0.208756 0.361577i
\(286\) 1.06162 + 9.56219i 0.0627747 + 0.565424i
\(287\) 4.99244 5.23006i 0.294694 0.308721i
\(288\) −1.23633 + 4.61403i −0.0728512 + 0.271884i
\(289\) 8.49244 14.7093i 0.499555 0.865255i
\(290\) 4.17481 + 7.23099i 0.245154 + 0.424618i
\(291\) 8.88790 2.38150i 0.521018 0.139606i
\(292\) −15.8021 + 15.8021i −0.924750 + 0.924750i
\(293\) −10.4135 + 2.79029i −0.608363 + 0.163010i −0.549832 0.835275i \(-0.685308\pi\)
−0.0585312 + 0.998286i \(0.518642\pi\)
\(294\) −2.17848 + 2.39103i −0.127052 + 0.139448i
\(295\) 8.17378 14.1574i 0.475896 0.824275i
\(296\) −10.2791 5.93464i −0.597460 0.344944i
\(297\) −4.08324 4.08324i −0.236933 0.236933i
\(298\) −8.31946 4.80324i −0.481933 0.278244i
\(299\) −9.23968 + 1.02581i −0.534344 + 0.0593242i
\(300\) 0.502040i 0.0289853i
\(301\) −9.71333 + 5.91313i −0.559867 + 0.340827i
\(302\) 1.46744 + 2.54168i 0.0844418 + 0.146258i
\(303\) 5.93884i 0.341177i
\(304\) 2.32151 + 8.66399i 0.133148 + 0.496914i
\(305\) 3.46073 12.9156i 0.198161 0.739547i
\(306\) −0.0401785 0.0401785i −0.00229685 0.00229685i
\(307\) −20.7789 20.7789i −1.18592 1.18592i −0.978186 0.207731i \(-0.933392\pi\)
−0.207731 0.978186i \(-0.566608\pi\)
\(308\) 19.7429 + 18.8460i 1.12496 + 1.07385i
\(309\) 3.02081 1.74407i 0.171848 0.0992164i
\(310\) −0.943688 3.52189i −0.0535979 0.200030i
\(311\) 13.5145 23.4078i 0.766336 1.32733i −0.173202 0.984886i \(-0.555411\pi\)
0.939538 0.342446i \(-0.111255\pi\)
\(312\) 6.23660 + 0.950416i 0.353078 + 0.0538067i
\(313\) −6.52501 + 3.76722i −0.368815 + 0.212936i −0.672941 0.739696i \(-0.734969\pi\)
0.304125 + 0.952632i \(0.401636\pi\)
\(314\) −7.71166 2.06633i −0.435194 0.116610i
\(315\) −3.96850 + 4.15738i −0.223600 + 0.234242i
\(316\) −19.6198 11.3275i −1.10370 0.637221i
\(317\) −5.10103 + 19.0373i −0.286503 + 1.06924i 0.661232 + 0.750182i \(0.270034\pi\)
−0.947734 + 0.319061i \(0.896633\pi\)
\(318\) 4.01580 + 1.07603i 0.225195 + 0.0603408i
\(319\) 46.3959 + 12.4318i 2.59767 + 0.696045i
\(320\) 1.86750 6.96962i 0.104397 0.389614i
\(321\) 5.80657 + 3.35243i 0.324091 + 0.187114i
\(322\) 2.17658 2.28017i 0.121296 0.127069i
\(323\) −0.385385 0.103263i −0.0214434 0.00574573i
\(324\) −1.54713 + 0.893237i −0.0859517 + 0.0496243i
\(325\) −1.00706 + 0.111806i −0.0558614 + 0.00620187i
\(326\) −1.68293 + 2.91493i −0.0932091 + 0.161443i
\(327\) 3.55678 + 13.2741i 0.196690 + 0.734059i
\(328\) 4.14097 2.39079i 0.228647 0.132009i
\(329\) 4.37497 + 4.17621i 0.241200 + 0.230242i
\(330\) −4.09878 4.09878i −0.225630 0.225630i
\(331\) 2.77446 + 2.77446i 0.152498 + 0.152498i 0.779233 0.626735i \(-0.215609\pi\)
−0.626735 + 0.779233i \(0.715609\pi\)
\(332\) −3.11364 + 11.6203i −0.170883 + 0.637745i
\(333\) −1.75574 6.55250i −0.0962137 0.359075i
\(334\) 7.06121i 0.386372i
\(335\) 12.2832 + 21.2752i 0.671104 + 1.16239i
\(336\) 6.24742 3.80321i 0.340825 0.207482i
\(337\) 10.3222i 0.562288i −0.959666 0.281144i \(-0.909286\pi\)
0.959666 0.281144i \(-0.0907139\pi\)
\(338\) 0.244186 6.00220i 0.0132820 0.326477i
\(339\) 9.03590 + 5.21688i 0.490763 + 0.283342i
\(340\) 0.337433 + 0.337433i 0.0182999 + 0.0182999i
\(341\) −18.1649 10.4875i −0.983683 0.567929i
\(342\) 0.749661 1.29845i 0.0405370 0.0702122i
\(343\) 18.4753 1.29020i 0.997570 0.0696645i
\(344\) −7.26405 + 1.94640i −0.391651 + 0.104943i
\(345\) 3.96054 3.96054i 0.213228 0.213228i
\(346\) 6.00153 1.60811i 0.322644 0.0864523i
\(347\) 10.5916 + 18.3452i 0.568587 + 0.984822i 0.996706 + 0.0810992i \(0.0258431\pi\)
−0.428119 + 0.903722i \(0.640824\pi\)
\(348\) 7.42991 12.8690i 0.398285 0.689850i
\(349\) −9.29865 + 34.7030i −0.497745 + 1.85761i 0.0163325 + 0.999867i \(0.494801\pi\)
−0.514078 + 0.857744i \(0.671866\pi\)
\(350\) 0.237231 0.248522i 0.0126805 0.0132841i
\(351\) 2.13632 + 2.90451i 0.114028 + 0.155031i
\(352\) 13.7920 + 23.8884i 0.735114 + 1.27326i
\(353\) 18.9860 18.9860i 1.01052 1.01052i 0.0105780 0.999944i \(-0.496633\pi\)
0.999944 0.0105780i \(-0.00336715\pi\)
\(354\) 3.47740 0.184822
\(355\) −16.7523 −0.889118
\(356\) −1.26416 + 1.26416i −0.0670002 + 0.0670002i
\(357\) 0.00756022 + 0.325247i 0.000400129 + 0.0172139i
\(358\) 1.21528 + 4.53550i 0.0642298 + 0.239709i
\(359\) −18.4616 4.94676i −0.974363 0.261080i −0.263694 0.964606i \(-0.584941\pi\)
−0.710669 + 0.703526i \(0.751608\pi\)
\(360\) −3.29167 + 1.90044i −0.173486 + 0.100162i
\(361\) 8.47222i 0.445906i
\(362\) 5.92623 1.58793i 0.311475 0.0834596i
\(363\) −22.3456 −1.17284
\(364\) −10.4137 13.4900i −0.545828 0.707067i
\(365\) −27.1743 −1.42237
\(366\) 2.74738 0.736157i 0.143608 0.0384796i
\(367\) 7.88662i 0.411678i 0.978586 + 0.205839i \(0.0659923\pi\)
−0.978586 + 0.205839i \(0.934008\pi\)
\(368\) −6.17280 + 3.56387i −0.321779 + 0.185779i
\(369\) 2.63970 + 0.707305i 0.137417 + 0.0368208i
\(370\) −1.76242 6.57744i −0.0916238 0.341945i
\(371\) −12.3779 20.3328i −0.642627 1.05563i
\(372\) −4.58843 + 4.58843i −0.237899 + 0.237899i
\(373\) −23.0657 −1.19430 −0.597149 0.802130i \(-0.703700\pi\)
−0.597149 + 0.802130i \(0.703700\pi\)
\(374\) −0.328116 −0.0169665
\(375\) 8.11198 8.11198i 0.418901 0.418901i
\(376\) 1.99991 + 3.46395i 0.103138 + 0.178639i
\(377\) −27.4689 12.0379i −1.41472 0.619983i
\(378\) −1.18795 0.288898i −0.0611016 0.0148593i
\(379\) 0.382149 1.42620i 0.0196297 0.0732590i −0.955416 0.295262i \(-0.904593\pi\)
0.975046 + 0.222003i \(0.0712596\pi\)
\(380\) −6.29591 + 10.9048i −0.322974 + 0.559407i
\(381\) 4.66492 + 8.07987i 0.238991 + 0.413944i
\(382\) −1.27014 + 0.340332i −0.0649858 + 0.0174129i
\(383\) −14.8011 + 14.8011i −0.756299 + 0.756299i −0.975647 0.219348i \(-0.929607\pi\)
0.219348 + 0.975647i \(0.429607\pi\)
\(384\) 10.7106 2.86990i 0.546574 0.146454i
\(385\) 0.771251 + 33.1799i 0.0393066 + 1.69100i
\(386\) 2.11882 3.66990i 0.107845 0.186793i
\(387\) −3.72224 2.14904i −0.189212 0.109242i
\(388\) −11.6235 11.6235i −0.590094 0.590094i
\(389\) 29.1730 + 16.8431i 1.47913 + 0.853977i 0.999721 0.0236147i \(-0.00751748\pi\)
0.479410 + 0.877591i \(0.340851\pi\)
\(390\) 2.14445 + 2.91556i 0.108588 + 0.147635i
\(391\) 0.317050i 0.0160339i
\(392\) 11.9650 + 2.61686i 0.604324 + 0.132171i
\(393\) −3.18237 5.51203i −0.160530 0.278045i
\(394\) 9.07084i 0.456982i
\(395\) −7.12996 26.6094i −0.358747 1.33886i
\(396\) −2.67001 + 9.96459i −0.134173 + 0.500740i
\(397\) −6.62311 6.62311i −0.332404 0.332404i 0.521095 0.853499i \(-0.325524\pi\)
−0.853499 + 0.521095i \(0.825524\pi\)
\(398\) 4.24872 + 4.24872i 0.212969 + 0.212969i
\(399\) −8.23817 + 2.41394i −0.412424 + 0.120848i
\(400\) −0.672789 + 0.388435i −0.0336394 + 0.0194217i
\(401\) 5.84434 + 21.8114i 0.291853 + 1.08921i 0.943685 + 0.330846i \(0.107334\pi\)
−0.651832 + 0.758363i \(0.725999\pi\)
\(402\) −2.61285 + 4.52559i −0.130317 + 0.225716i
\(403\) 10.2259 + 8.18219i 0.509388 + 0.407584i
\(404\) 9.18817 5.30479i 0.457128 0.263923i
\(405\) −2.09830 0.562238i −0.104265 0.0279378i
\(406\) 9.75900 2.85957i 0.484331 0.141918i
\(407\) −33.9245 19.5863i −1.68157 0.970857i
\(408\) −0.0556852 + 0.207820i −0.00275683 + 0.0102886i
\(409\) 29.8828 + 8.00708i 1.47761 + 0.395925i 0.905533 0.424275i \(-0.139471\pi\)
0.572078 + 0.820199i \(0.306138\pi\)
\(410\) 2.64975 + 0.709997i 0.130862 + 0.0350643i
\(411\) −3.60558 + 13.4562i −0.177850 + 0.663746i
\(412\) −5.39660 3.11573i −0.265871 0.153501i
\(413\) −14.4021 13.7477i −0.708680 0.676482i
\(414\) 1.15084 + 0.308367i 0.0565608 + 0.0151554i
\(415\) −12.6686 + 7.31425i −0.621879 + 0.359042i
\(416\) −6.26612 16.0427i −0.307222 0.786556i
\(417\) −9.80347 + 16.9801i −0.480078 + 0.831520i
\(418\) −2.24084 8.36292i −0.109603 0.409044i
\(419\) −17.9762 + 10.3786i −0.878196 + 0.507027i −0.870063 0.492940i \(-0.835922\pi\)
−0.00813276 + 0.999967i \(0.502589\pi\)
\(420\) 9.97683 + 2.42626i 0.486819 + 0.118390i
\(421\) 7.60341 + 7.60341i 0.370568 + 0.370568i 0.867684 0.497116i \(-0.165608\pi\)
−0.497116 + 0.867684i \(0.665608\pi\)
\(422\) −4.09994 4.09994i −0.199582 0.199582i
\(423\) −0.591665 + 2.20812i −0.0287677 + 0.107363i
\(424\) −4.07436 15.2057i −0.197868 0.738455i
\(425\) 0.0345561i 0.00167622i
\(426\) −1.78175 3.08607i −0.0863259 0.149521i
\(427\) −14.2889 7.81274i −0.691490 0.378085i
\(428\) 11.9780i 0.578980i
\(429\) 20.5829 + 3.13669i 0.993750 + 0.151441i
\(430\) −3.73641 2.15722i −0.180186 0.104030i
\(431\) 8.61681 + 8.61681i 0.415057 + 0.415057i 0.883496 0.468439i \(-0.155183\pi\)
−0.468439 + 0.883496i \(0.655183\pi\)
\(432\) 2.39407 + 1.38222i 0.115185 + 0.0665019i
\(433\) −17.4442 + 30.2143i −0.838316 + 1.45201i 0.0529860 + 0.998595i \(0.483126\pi\)
−0.891302 + 0.453410i \(0.850207\pi\)
\(434\) −4.43956 + 0.103195i −0.213106 + 0.00495354i
\(435\) 17.4536 4.67667i 0.836835 0.224229i
\(436\) 17.3597 17.3597i 0.831379 0.831379i
\(437\) 8.08086 2.16526i 0.386560 0.103578i
\(438\) −2.89022 5.00600i −0.138100 0.239196i
\(439\) −11.3262 + 19.6176i −0.540572 + 0.936297i 0.458300 + 0.888798i \(0.348459\pi\)
−0.998871 + 0.0474997i \(0.984875\pi\)
\(440\) −5.68069 + 21.2006i −0.270816 + 1.01070i
\(441\) 3.77789 + 5.89301i 0.179900 + 0.280619i
\(442\) 0.202533 + 0.0308646i 0.00963349 + 0.00146808i
\(443\) −0.888399 1.53875i −0.0422091 0.0731083i 0.844149 0.536109i \(-0.180106\pi\)
−0.886358 + 0.463000i \(0.846773\pi\)
\(444\) −8.56928 + 8.56928i −0.406680 + 0.406680i
\(445\) −2.17392 −0.103054
\(446\) −4.03123 −0.190884
\(447\) −14.7002 + 14.7002i −0.695295 + 0.695295i
\(448\) −7.71069 4.21596i −0.364296 0.199185i
\(449\) −1.32995 4.96344i −0.0627643 0.234239i 0.927417 0.374029i \(-0.122024\pi\)
−0.990181 + 0.139790i \(0.955357\pi\)
\(450\) 0.125433 + 0.0336097i 0.00591298 + 0.00158438i
\(451\) 13.6666 7.89041i 0.643535 0.371545i
\(452\) 18.6396i 0.876735i
\(453\) 6.13492 1.64385i 0.288243 0.0772346i
\(454\) −3.95489 −0.185612
\(455\) 2.64504 20.5531i 0.124002 0.963545i
\(456\) −5.67714 −0.265856
\(457\) −9.23423 + 2.47430i −0.431959 + 0.115743i −0.468246 0.883598i \(-0.655114\pi\)
0.0362866 + 0.999341i \(0.488447\pi\)
\(458\) 0.106686i 0.00498509i
\(459\) −0.106491 + 0.0614826i −0.00497057 + 0.00286976i
\(460\) −9.66517 2.58977i −0.450641 0.120749i
\(461\) −4.25884 15.8942i −0.198354 0.740267i −0.991373 0.131070i \(-0.958159\pi\)
0.793019 0.609197i \(-0.208508\pi\)
\(462\) −6.03032 + 3.67104i −0.280556 + 0.170792i
\(463\) −18.2773 + 18.2773i −0.849419 + 0.849419i −0.990061 0.140641i \(-0.955084\pi\)
0.140641 + 0.990061i \(0.455084\pi\)
\(464\) −22.9944 −1.06749
\(465\) −7.89053 −0.365915
\(466\) −3.99959 + 3.99959i −0.185278 + 0.185278i
\(467\) 0.886766 + 1.53592i 0.0410346 + 0.0710741i 0.885813 0.464042i \(-0.153601\pi\)
−0.844779 + 0.535116i \(0.820268\pi\)
\(468\) 2.58541 5.89957i 0.119511 0.272708i
\(469\) 28.7131 8.41349i 1.32585 0.388499i
\(470\) −0.593917 + 2.21653i −0.0273954 + 0.102241i
\(471\) −8.63869 + 14.9626i −0.398050 + 0.689442i
\(472\) −6.58355 11.4030i −0.303032 0.524867i
\(473\) −23.9738 + 6.42376i −1.10232 + 0.295365i
\(474\) 4.14360 4.14360i 0.190322 0.190322i
\(475\) 0.880754 0.235997i 0.0404117 0.0108283i
\(476\) 0.496447 0.302220i 0.0227546 0.0138522i
\(477\) 4.49855 7.79171i 0.205974 0.356758i
\(478\) 11.4102 + 6.58769i 0.521891 + 0.301314i
\(479\) −19.4268 19.4268i −0.887634 0.887634i 0.106661 0.994295i \(-0.465984\pi\)
−0.994295 + 0.106661i \(0.965984\pi\)
\(480\) 8.98651 + 5.18837i 0.410176 + 0.236815i
\(481\) 19.0978 + 15.2809i 0.870782 + 0.696751i
\(482\) 14.0896i 0.641762i
\(483\) −3.54723 5.82693i −0.161405 0.265135i
\(484\) 19.9599 + 34.5716i 0.907269 + 1.57144i
\(485\) 19.9885i 0.907629i
\(486\) −0.119598 0.446344i −0.00542506 0.0202466i
\(487\) 3.01789 11.2629i 0.136754 0.510372i −0.863231 0.504810i \(-0.831563\pi\)
0.999985 0.00556257i \(-0.00177063\pi\)
\(488\) −7.61543 7.61543i −0.344734 0.344734i
\(489\) 5.15058 + 5.15058i 0.232917 + 0.232917i
\(490\) 3.79227 + 5.91544i 0.171318 + 0.267232i
\(491\) 22.5382 13.0124i 1.01713 0.587242i 0.103861 0.994592i \(-0.466880\pi\)
0.913272 + 0.407350i \(0.133547\pi\)
\(492\) −1.26358 4.71575i −0.0569666 0.212602i
\(493\) 0.511410 0.885788i 0.0230327 0.0398939i
\(494\) 0.596508 + 5.37287i 0.0268382 + 0.241737i
\(495\) −10.8636 + 6.27210i −0.488283 + 0.281910i
\(496\) 9.69911 + 2.59887i 0.435503 + 0.116693i
\(497\) −4.82133 + 19.8254i −0.216266 + 0.889290i
\(498\) −2.69484 1.55587i −0.120759 0.0697200i
\(499\) −1.97862 + 7.38431i −0.0885751 + 0.330567i −0.995967 0.0897183i \(-0.971403\pi\)
0.907392 + 0.420285i \(0.138070\pi\)
\(500\) −19.7962 5.30438i −0.885314 0.237219i
\(501\) 14.7603 + 3.95502i 0.659444 + 0.176697i
\(502\) 2.33273 8.70588i 0.104115 0.388562i
\(503\) 33.6301 + 19.4164i 1.49949 + 0.865733i 1.00000 0.000585431i \(-0.000186349\pi\)
0.499493 + 0.866318i \(0.333520\pi\)
\(504\) 1.30172 + 4.44246i 0.0579834 + 0.197883i
\(505\) 12.4615 + 3.33904i 0.554528 + 0.148585i
\(506\) 5.95829 3.44002i 0.264878 0.152928i
\(507\) −12.4099 3.87230i −0.551142 0.171975i
\(508\) 8.33375 14.4345i 0.369750 0.640426i
\(509\) 0.142172 + 0.530594i 0.00630167 + 0.0235182i 0.969005 0.247041i \(-0.0794582\pi\)
−0.962703 + 0.270559i \(0.912792\pi\)
\(510\) −0.106896 + 0.0617167i −0.00473345 + 0.00273286i
\(511\) −7.82081 + 32.1593i −0.345972 + 1.42264i
\(512\) −16.1778 16.1778i −0.714967 0.714967i
\(513\) −2.29432 2.29432i −0.101297 0.101297i
\(514\) 2.87971 10.7472i 0.127018 0.474039i
\(515\) −1.96116 7.31915i −0.0864190 0.322520i
\(516\) 7.67839i 0.338022i
\(517\) 6.60038 + 11.4322i 0.290284 + 0.502787i
\(518\) −8.29127 + 0.192727i −0.364297 + 0.00846792i
\(519\) 13.4460i 0.590213i
\(520\) 5.50071 12.5519i 0.241222 0.550437i
\(521\) 2.54536 + 1.46957i 0.111514 + 0.0643828i 0.554720 0.832037i \(-0.312825\pi\)
−0.443205 + 0.896420i \(0.646159\pi\)
\(522\) 2.71787 + 2.71787i 0.118958 + 0.118958i
\(523\) 7.00067 + 4.04184i 0.306118 + 0.176737i 0.645188 0.764024i \(-0.276779\pi\)
−0.339070 + 0.940761i \(0.610112\pi\)
\(524\) −5.68522 + 9.84710i −0.248360 + 0.430172i
\(525\) −0.386622 0.635092i −0.0168736 0.0277177i
\(526\) 1.43910 0.385605i 0.0627476 0.0168132i
\(527\) −0.315827 + 0.315827i −0.0137576 + 0.0137576i
\(528\) 15.4195 4.13163i 0.671046 0.179806i
\(529\) −8.17600 14.1613i −0.355478 0.615707i
\(530\) 4.51567 7.82137i 0.196148 0.339739i
\(531\) 1.94771 7.26896i 0.0845235 0.315446i
\(532\) 11.0933 + 10.5893i 0.480956 + 0.459105i
\(533\) −9.17804 + 3.58486i −0.397545 + 0.155278i
\(534\) −0.231215 0.400476i −0.0100057 0.0173303i
\(535\) 10.2991 10.2991i 0.445268 0.445268i
\(536\) 19.7870 0.854668
\(537\) 10.1614 0.438499
\(538\) 4.25680 4.25680i 0.183524 0.183524i
\(539\) 39.4886 + 8.63651i 1.70089 + 0.372001i
\(540\) 1.00442 + 3.74856i 0.0432235 + 0.161312i
\(541\) −14.2796 3.82620i −0.613927 0.164501i −0.0615617 0.998103i \(-0.519608\pi\)
−0.552366 + 0.833602i \(0.686275\pi\)
\(542\) 7.01894 4.05239i 0.301489 0.174065i
\(543\) 13.2772i 0.569781i
\(544\) 0.567365 0.152025i 0.0243256 0.00651802i
\(545\) 29.8528 1.27875
\(546\) 4.06759 1.69873i 0.174077 0.0726991i
\(547\) 11.0304 0.471626 0.235813 0.971798i \(-0.424225\pi\)
0.235813 + 0.971798i \(0.424225\pi\)
\(548\) 24.0392 6.44128i 1.02690 0.275158i
\(549\) 6.15529i 0.262701i
\(550\) 0.649409 0.374937i 0.0276909 0.0159874i
\(551\) 26.0693 + 6.98524i 1.11059 + 0.297581i
\(552\) −1.16762 4.35763i −0.0496974 0.185473i
\(553\) −33.5427 + 0.779685i −1.42638 + 0.0331556i
\(554\) 7.26268 7.26268i 0.308562 0.308562i
\(555\) −14.7362 −0.625519
\(556\) 35.0273 1.48549
\(557\) −5.64641 + 5.64641i −0.239246 + 0.239246i −0.816538 0.577292i \(-0.804110\pi\)
0.577292 + 0.816538i \(0.304110\pi\)
\(558\) −0.839225 1.45358i −0.0355272 0.0615350i
\(559\) 15.4023 1.71000i 0.651447 0.0723252i
\(560\) −4.46773 15.2473i −0.188796 0.644315i
\(561\) −0.183780 + 0.685876i −0.00775919 + 0.0289577i
\(562\) −3.53517 + 6.12310i −0.149122 + 0.258287i
\(563\) 14.9889 + 25.9615i 0.631705 + 1.09414i 0.987203 + 0.159468i \(0.0509778\pi\)
−0.355498 + 0.934677i \(0.615689\pi\)
\(564\) 3.94475 1.05699i 0.166104 0.0445074i
\(565\) 16.0269 16.0269i 0.674257 0.674257i
\(566\) −9.91569 + 2.65690i −0.416788 + 0.111678i
\(567\) −1.26927 + 2.32141i −0.0533045 + 0.0974901i
\(568\) −6.74653 + 11.6853i −0.283078 + 0.490306i
\(569\) 0.962494 + 0.555696i 0.0403498 + 0.0232960i 0.520039 0.854142i \(-0.325917\pi\)
−0.479689 + 0.877438i \(0.659251\pi\)
\(570\) −2.30305 2.30305i −0.0964642 0.0964642i
\(571\) −5.83983 3.37163i −0.244389 0.141098i 0.372803 0.927910i \(-0.378397\pi\)
−0.617192 + 0.786812i \(0.711730\pi\)
\(572\) −13.5325 34.6462i −0.565822 1.44863i
\(573\) 2.84564i 0.118878i
\(574\) 1.60285 2.93149i 0.0669015 0.122358i
\(575\) 0.362291 + 0.627507i 0.0151086 + 0.0261688i
\(576\) 3.32156i 0.138398i
\(577\) −3.08419 11.5103i −0.128396 0.479182i 0.871542 0.490322i \(-0.163121\pi\)
−0.999938 + 0.0111397i \(0.996454\pi\)
\(578\) 2.03135 7.58111i 0.0844931 0.315332i
\(579\) −6.48459 6.48459i −0.269490 0.269490i
\(580\) −22.8256 22.8256i −0.947782 0.947782i
\(581\) 5.00995 + 17.0977i 0.207848 + 0.709332i
\(582\) 3.68224 2.12594i 0.152634 0.0881232i
\(583\) −13.4468 50.1840i −0.556908 2.07841i
\(584\) −10.9437 + 18.9551i −0.452855 + 0.784367i
\(585\) 7.29564 2.84961i 0.301638 0.117817i
\(586\) −4.31430 + 2.49086i −0.178222 + 0.102897i
\(587\) −23.1594 6.20554i −0.955891 0.256130i −0.253031 0.967458i \(-0.581427\pi\)
−0.702860 + 0.711328i \(0.748094\pi\)
\(588\) 5.74270 11.1087i 0.236825 0.458117i
\(589\) −10.2066 5.89279i −0.420556 0.242808i
\(590\) 1.95513 7.29664i 0.0804913 0.300398i
\(591\) 18.9612 + 5.08063i 0.779958 + 0.208989i
\(592\) 18.1139 + 4.85361i 0.744478 + 0.199482i
\(593\) −10.7039 + 39.9476i −0.439558 + 1.64045i 0.290360 + 0.956917i \(0.406225\pi\)
−0.729918 + 0.683535i \(0.760442\pi\)
\(594\) −2.31087 1.33418i −0.0948163 0.0547422i
\(595\) 0.686718 + 0.167003i 0.0281527 + 0.00684645i
\(596\) 35.8739 + 9.61238i 1.46945 + 0.393738i
\(597\) 11.2610 6.50154i 0.460882 0.266090i
\(598\) −4.00139 + 1.56291i −0.163629 + 0.0639121i
\(599\) −7.72078 + 13.3728i −0.315463 + 0.546397i −0.979536 0.201270i \(-0.935493\pi\)
0.664073 + 0.747668i \(0.268826\pi\)
\(600\) −0.127262 0.474949i −0.00519546 0.0193897i
\(601\) −14.4303 + 8.33134i −0.588624 + 0.339842i −0.764553 0.644561i \(-0.777040\pi\)
0.175929 + 0.984403i \(0.443707\pi\)
\(602\) −3.62829 + 3.80098i −0.147878 + 0.154917i
\(603\) 7.99656 + 7.99656i 0.325645 + 0.325645i
\(604\) −8.02317 8.02317i −0.326458 0.326458i
\(605\) −12.5636 + 46.8878i −0.510781 + 1.90626i
\(606\) 0.710271 + 2.65077i 0.0288528 + 0.107680i
\(607\) 12.5977i 0.511324i −0.966766 0.255662i \(-0.917707\pi\)
0.966766 0.255662i \(-0.0822935\pi\)
\(608\) 7.74953 + 13.4226i 0.314285 + 0.544357i
\(609\) −0.511410 22.0013i −0.0207234 0.891538i
\(610\) 6.17872i 0.250169i
\(611\) −2.99876 7.67749i −0.121317 0.310598i
\(612\) 0.190243 + 0.109837i 0.00769013 + 0.00443990i
\(613\) −20.8614 20.8614i −0.842586 0.842586i 0.146609 0.989195i \(-0.453164\pi\)
−0.989195 + 0.146609i \(0.953164\pi\)
\(614\) −11.7597 6.78945i −0.474582 0.274000i
\(615\) 2.96828 5.14120i 0.119692 0.207313i
\(616\) 23.4548 + 12.8244i 0.945022 + 0.516708i
\(617\) −15.2562 + 4.08788i −0.614191 + 0.164572i −0.552486 0.833522i \(-0.686321\pi\)
−0.0617053 + 0.998094i \(0.519654\pi\)
\(618\) 1.13974 1.13974i 0.0458469 0.0458469i
\(619\) −4.44775 + 1.19177i −0.178770 + 0.0479013i −0.347094 0.937831i \(-0.612831\pi\)
0.168323 + 0.985732i \(0.446165\pi\)
\(620\) 7.04811 + 12.2077i 0.283059 + 0.490272i
\(621\) 1.28919 2.23293i 0.0517332 0.0896046i
\(622\) 3.23260 12.0642i 0.129615 0.483731i
\(623\) −0.625659 + 2.57272i −0.0250665 + 0.103074i
\(624\) −9.90644 + 1.09984i −0.396575 + 0.0440287i
\(625\) −11.7580 20.3654i −0.470318 0.814615i
\(626\) −2.46185 + 2.46185i −0.0983954 + 0.0983954i
\(627\) −18.7365 −0.748263
\(628\) 30.8656 1.23167
\(629\) −0.589834 + 0.589834i −0.0235182 + 0.0235182i
\(630\) −1.27411 + 2.33025i −0.0507616 + 0.0928393i
\(631\) 2.09530 + 7.81977i 0.0834126 + 0.311300i 0.995009 0.0997866i \(-0.0318160\pi\)
−0.911596 + 0.411087i \(0.865149\pi\)
\(632\) −21.4324 5.74281i −0.852537 0.228437i
\(633\) −10.8667 + 6.27387i −0.431911 + 0.249364i
\(634\) 9.10727i 0.361696i
\(635\) 19.5768 5.24559i 0.776881 0.208165i
\(636\) −16.0731 −0.637338
\(637\) −23.5622 9.04549i −0.933570 0.358395i
\(638\) 22.1954 0.878724
\(639\) −7.44892 + 1.99593i −0.294675 + 0.0789578i
\(640\) 24.0877i 0.952149i
\(641\) 34.6183 19.9869i 1.36734 0.789435i 0.376754 0.926314i \(-0.377040\pi\)
0.990588 + 0.136879i \(0.0437070\pi\)
\(642\) 2.99267 + 0.801884i 0.118111 + 0.0316479i
\(643\) 1.65521 + 6.17734i 0.0652753 + 0.243611i 0.990853 0.134948i \(-0.0430866\pi\)
−0.925577 + 0.378558i \(0.876420\pi\)
\(644\) −5.84651 + 10.6929i −0.230385 + 0.421358i
\(645\) −6.60211 + 6.60211i −0.259958 + 0.259958i
\(646\) −0.184364 −0.00725372
\(647\) 27.5851 1.08448 0.542241 0.840223i \(-0.317576\pi\)
0.542241 + 0.840223i \(0.317576\pi\)
\(648\) −1.23722 + 1.23722i −0.0486025 + 0.0486025i
\(649\) −21.7279 37.6339i −0.852895 1.47726i
\(650\) −0.436122 + 0.170345i −0.0171061 + 0.00668150i
\(651\) −2.27091 + 9.33801i −0.0890040 + 0.365985i
\(652\) 3.36793 12.5693i 0.131898 0.492252i
\(653\) −13.8072 + 23.9147i −0.540317 + 0.935856i 0.458569 + 0.888659i \(0.348362\pi\)
−0.998886 + 0.0471970i \(0.984971\pi\)
\(654\) 3.17510 + 5.49943i 0.124156 + 0.215045i
\(655\) −13.3552 + 3.57850i −0.521829 + 0.139824i
\(656\) −5.34197 + 5.34197i −0.208569 + 0.208569i
\(657\) −12.0831 + 3.23765i −0.471406 + 0.126313i
\(658\) 2.45221 + 1.34079i 0.0955971 + 0.0522694i
\(659\) 16.0130 27.7353i 0.623776 1.08041i −0.365000 0.931008i \(-0.618931\pi\)
0.988776 0.149405i \(-0.0477357\pi\)
\(660\) 19.4075 + 11.2049i 0.755437 + 0.436152i
\(661\) −22.2290 22.2290i −0.864608 0.864608i 0.127262 0.991869i \(-0.459381\pi\)
−0.991869 + 0.127262i \(0.959381\pi\)
\(662\) 1.57018 + 0.906545i 0.0610268 + 0.0352339i
\(663\) 0.177957 0.406075i 0.00691129 0.0157706i
\(664\) 11.7825i 0.457249i
\(665\) 0.433356 + 18.6434i 0.0168048 + 0.722958i
\(666\) −1.56733 2.71469i −0.0607326 0.105192i
\(667\) 21.4468i 0.830423i
\(668\) −7.06554 26.3690i −0.273374 1.02025i
\(669\) −2.25791 + 8.42664i −0.0872959 + 0.325793i
\(670\) 8.02701 + 8.02701i 0.310110 + 0.310110i
\(671\) −25.1335 25.1335i −0.970267 0.970267i
\(672\) 8.72648 9.14182i 0.336631 0.352654i
\(673\) −10.1615 + 5.86676i −0.391698 + 0.226147i −0.682896 0.730516i \(-0.739280\pi\)
0.291198 + 0.956663i \(0.405946\pi\)
\(674\) −1.23451 4.60727i −0.0475517 0.177465i
\(675\) 0.140512 0.243373i 0.00540829 0.00936744i
\(676\) 5.09401 + 22.6586i 0.195923 + 0.871485i
\(677\) 29.0714 16.7844i 1.11730 0.645076i 0.176592 0.984284i \(-0.443493\pi\)
0.940711 + 0.339209i \(0.110159\pi\)
\(678\) 4.65705 + 1.24785i 0.178853 + 0.0479235i
\(679\) −23.6552 5.75272i −0.907805 0.220769i
\(680\) 0.404760 + 0.233688i 0.0155218 + 0.00896154i
\(681\) −2.21516 + 8.26708i −0.0848850 + 0.316795i
\(682\) −9.36207 2.50856i −0.358492 0.0960576i
\(683\) 15.5145 + 4.15709i 0.593645 + 0.159067i 0.543119 0.839656i \(-0.317243\pi\)
0.0505267 + 0.998723i \(0.483910\pi\)
\(684\) −1.50024 + 5.59898i −0.0573632 + 0.214082i
\(685\) 26.2080 + 15.1312i 1.00136 + 0.578133i
\(686\) 8.09202 2.78547i 0.308955 0.106350i
\(687\) 0.223009 + 0.0597552i 0.00850834 + 0.00227980i
\(688\) 10.2899 5.94086i 0.392298 0.226493i
\(689\) 3.57951 + 32.2414i 0.136369 + 1.22830i
\(690\) 1.29409 2.24144i 0.0492653 0.0853300i
\(691\) −0.0750304 0.280017i −0.00285429 0.0106524i 0.964484 0.264141i \(-0.0850885\pi\)
−0.967338 + 0.253489i \(0.918422\pi\)
\(692\) −20.8027 + 12.0104i −0.790799 + 0.456568i
\(693\) 4.29612 + 14.6616i 0.163196 + 0.556948i
\(694\) 6.92154 + 6.92154i 0.262738 + 0.262738i
\(695\) 30.1175 + 30.1175i 1.14242 + 1.14242i
\(696\) 3.76682 14.0579i 0.142781 0.532865i
\(697\) −0.0869739 0.324591i −0.00329437 0.0122948i
\(698\) 16.6016i 0.628380i
\(699\) 6.12033 + 10.6007i 0.231492 + 0.400956i
\(700\) −0.637226 + 1.16544i −0.0240849 + 0.0440496i
\(701\) 7.44127i 0.281053i 0.990077 + 0.140526i \(0.0448795\pi\)
−0.990077 + 0.140526i \(0.955120\pi\)
\(702\) 1.30091 + 1.04091i 0.0490995 + 0.0392867i
\(703\) −19.0617 11.0053i −0.718926 0.415072i
\(704\) −13.5627 13.5627i −0.511163 0.511163i
\(705\) 4.30065 + 2.48298i 0.161972 + 0.0935145i
\(706\) 6.20361 10.7450i 0.233476 0.404392i
\(707\) 7.53801 13.7865i 0.283496 0.518494i
\(708\) −12.9858 + 3.47954i −0.488037 + 0.130769i
\(709\) −1.95922 + 1.95922i −0.0735800 + 0.0735800i −0.742939 0.669359i \(-0.766569\pi\)
0.669359 + 0.742939i \(0.266569\pi\)
\(710\) −7.47728 + 2.00353i −0.280617 + 0.0751911i
\(711\) −6.34069 10.9824i −0.237795 0.411872i
\(712\) −0.875489 + 1.51639i −0.0328104 + 0.0568292i
\(713\) 2.42395 9.04631i 0.0907777 0.338787i
\(714\) 0.0422733 + 0.144268i 0.00158204 + 0.00539910i
\(715\) 18.1542 41.4255i 0.678928 1.54922i
\(716\) −9.07658 15.7211i −0.339208 0.587525i
\(717\) 20.1615 20.1615i 0.752943 0.752943i
\(718\) −8.83183 −0.329601
\(719\) −8.01741 −0.298999 −0.149500 0.988762i \(-0.547766\pi\)
−0.149500 + 0.988762i \(0.547766\pi\)
\(720\) 4.24634 4.24634i 0.158252 0.158252i
\(721\) −9.22623 + 0.214459i −0.343603 + 0.00798688i
\(722\) 1.01326 + 3.78153i 0.0377095 + 0.140734i
\(723\) −29.4520 7.89165i −1.09533 0.293493i
\(724\) −20.5416 + 11.8597i −0.763424 + 0.440763i
\(725\) 2.33754i 0.0868141i
\(726\) −9.97384 + 2.67248i −0.370164 + 0.0991851i
\(727\) 5.38975 0.199895 0.0999475 0.994993i \(-0.468133\pi\)
0.0999475 + 0.994993i \(0.468133\pi\)
\(728\) −13.2714 10.1222i −0.491869 0.375155i
\(729\) −1.00000 −0.0370370
\(730\) −12.1291 + 3.24998i −0.448918 + 0.120287i
\(731\) 0.528513i 0.0195478i
\(732\) −9.52303 + 5.49813i −0.351981 + 0.203217i
\(733\) 0.0606329 + 0.0162465i 0.00223953 + 0.000600080i 0.259939 0.965625i \(-0.416298\pi\)
−0.257699 + 0.966225i \(0.582964\pi\)
\(734\) 0.943221 + 3.52015i 0.0348149 + 0.129931i
\(735\) 14.4894 4.61388i 0.534449 0.170186i
\(736\) −8.70898 + 8.70898i −0.321017 + 0.321017i
\(737\) 65.3037 2.40549
\(738\) 1.26281 0.0464845
\(739\) −0.758212 + 0.758212i −0.0278913 + 0.0278913i −0.720915 0.693024i \(-0.756278\pi\)
0.693024 + 0.720915i \(0.256278\pi\)
\(740\) 13.1630 + 22.7989i 0.483880 + 0.838104i
\(741\) 11.5652 + 1.76247i 0.424860 + 0.0647458i
\(742\) −7.95655 7.59506i −0.292094 0.278823i
\(743\) −4.13064 + 15.4158i −0.151539 + 0.565550i 0.847838 + 0.530255i \(0.177904\pi\)
−0.999377 + 0.0352950i \(0.988763\pi\)
\(744\) −3.17770 + 5.50394i −0.116500 + 0.201784i
\(745\) 22.5804 + 39.1104i 0.827283 + 1.43290i
\(746\) −10.2953 + 2.75861i −0.376936 + 0.101000i
\(747\) −4.76169 + 4.76169i −0.174221 + 0.174221i
\(748\) 1.22530 0.328318i 0.0448013 0.0120045i
\(749\) −9.22429 15.1525i −0.337048 0.553660i
\(750\) 2.65056 4.59091i 0.0967849 0.167636i
\(751\) 20.7042 + 11.9536i 0.755507 + 0.436192i 0.827680 0.561200i \(-0.189660\pi\)
−0.0721735 + 0.997392i \(0.522994\pi\)
\(752\) −4.46859 4.46859i −0.162953 0.162953i
\(753\) −16.8917 9.75242i −0.615567 0.355398i
\(754\) −13.7003 2.08783i −0.498935 0.0760344i
\(755\) 13.7971i 0.502129i
\(756\) 4.72529 0.109837i 0.171857 0.00399473i
\(757\) 13.3174 + 23.0665i 0.484031 + 0.838365i 0.999832 0.0183428i \(-0.00583904\pi\)
−0.515801 + 0.856708i \(0.672506\pi\)
\(758\) 0.682281i 0.0247816i
\(759\) −3.85355 14.3816i −0.139875 0.522021i
\(760\) −3.19190 + 11.9123i −0.115783 + 0.432106i
\(761\) −14.1875 14.1875i −0.514298 0.514298i 0.401542 0.915841i \(-0.368474\pi\)
−0.915841 + 0.401542i \(0.868474\pi\)
\(762\) 3.04849 + 3.04849i 0.110435 + 0.110435i
\(763\) 8.59169 35.3291i 0.311040 1.27900i
\(764\) 4.40258 2.54183i 0.159280 0.0919602i
\(765\) 0.0691357 + 0.258018i 0.00249961 + 0.00932866i
\(766\) −4.83620 + 8.37654i −0.174739 + 0.302657i
\(767\) 9.87167 + 25.2737i 0.356445 + 0.912580i
\(768\) −1.31571 + 0.759627i −0.0474767 + 0.0274107i
\(769\) 34.7899 + 9.32193i 1.25456 + 0.336158i 0.824095 0.566451i \(-0.191684\pi\)
0.430462 + 0.902609i \(0.358351\pi\)
\(770\) 4.31248 + 14.7174i 0.155411 + 0.530379i
\(771\) −20.8524 12.0391i −0.750981 0.433579i
\(772\) −4.24024 + 15.8248i −0.152609 + 0.569546i
\(773\) −22.0431 5.90644i −0.792836 0.212440i −0.160400 0.987052i \(-0.551278\pi\)
−0.632436