Properties

Label 273.2.cd.e.44.17
Level $273$
Weight $2$
Character 273.44
Analytic conductor $2.180$
Analytic rank $0$
Dimension $112$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(112\)
Relative dimension: \(28\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 44.17
Character \(\chi\) \(=\) 273.44
Dual form 273.2.cd.e.242.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.623254 - 0.167000i) q^{2} +(0.313993 - 1.70335i) q^{3} +(-1.37149 + 0.791833i) q^{4} +(-2.98988 + 0.801137i) q^{5} +(-0.0887629 - 1.11406i) q^{6} +(-2.60516 + 0.461652i) q^{7} +(-1.63506 + 1.63506i) q^{8} +(-2.80282 - 1.06968i) q^{9} +O(q^{10})\) \(q+(0.623254 - 0.167000i) q^{2} +(0.313993 - 1.70335i) q^{3} +(-1.37149 + 0.791833i) q^{4} +(-2.98988 + 0.801137i) q^{5} +(-0.0887629 - 1.11406i) q^{6} +(-2.60516 + 0.461652i) q^{7} +(-1.63506 + 1.63506i) q^{8} +(-2.80282 - 1.06968i) q^{9} +(-1.72966 + 0.998622i) q^{10} +(1.79099 + 0.479894i) q^{11} +(0.918130 + 2.58477i) q^{12} +(-2.76022 - 2.31973i) q^{13} +(-1.54658 + 0.722789i) q^{14} +(0.425815 + 5.34437i) q^{15} +(0.837665 - 1.45088i) q^{16} +(1.98874 + 3.44460i) q^{17} +(-1.92550 - 0.198612i) q^{18} +(-1.93721 - 7.22976i) q^{19} +(3.46624 - 3.46624i) q^{20} +(-0.0316476 + 4.58247i) q^{21} +1.19638 q^{22} +(1.29472 - 2.24251i) q^{23} +(2.27168 + 3.29848i) q^{24} +(3.96745 - 2.29061i) q^{25} +(-2.10772 - 0.984824i) q^{26} +(-2.70211 + 4.43831i) q^{27} +(3.20742 - 2.69601i) q^{28} +8.80819i q^{29} +(1.15790 + 3.25979i) q^{30} +(-0.388653 - 0.104139i) q^{31} +(1.47673 - 5.51122i) q^{32} +(1.37979 - 2.90000i) q^{33} +(1.81474 + 1.81474i) q^{34} +(7.41929 - 3.46738i) q^{35} +(4.69106 - 0.752299i) q^{36} +(-8.52423 + 2.28406i) q^{37} +(-2.41474 - 4.18246i) q^{38} +(-4.81801 + 3.97325i) q^{39} +(3.57873 - 6.19854i) q^{40} +(-7.30296 - 7.30296i) q^{41} +(0.745549 + 2.86132i) q^{42} +2.15449i q^{43} +(-2.83633 + 0.759992i) q^{44} +(9.23705 + 0.952785i) q^{45} +(0.432436 - 1.61387i) q^{46} +(0.515167 + 1.92263i) q^{47} +(-2.20834 - 1.88240i) q^{48} +(6.57375 - 2.40536i) q^{49} +(2.09020 - 2.09020i) q^{50} +(6.49182 - 2.30595i) q^{51} +(5.62247 + 0.995867i) q^{52} +(-1.46449 + 0.845522i) q^{53} +(-0.942901 + 3.21745i) q^{54} -5.73931 q^{55} +(3.50477 - 5.01443i) q^{56} +(-12.9231 + 1.02965i) q^{57} +(1.47097 + 5.48974i) q^{58} +(-7.21924 - 1.93439i) q^{59} +(-4.81585 - 6.99261i) q^{60} +(0.418120 - 0.724204i) q^{61} -0.259621 q^{62} +(7.79562 + 1.49277i) q^{63} -0.330842i q^{64} +(10.1112 + 4.72442i) q^{65} +(0.375656 - 2.03786i) q^{66} +(-3.34274 - 0.895685i) q^{67} +(-5.45510 - 3.14950i) q^{68} +(-3.41326 - 2.90949i) q^{69} +(4.04504 - 3.40008i) q^{70} +(1.94434 + 1.94434i) q^{71} +(6.33176 - 2.83378i) q^{72} +(0.241870 - 0.902673i) q^{73} +(-4.93132 + 2.84710i) q^{74} +(-2.65596 - 7.47720i) q^{75} +(8.38163 + 8.38163i) q^{76} +(-4.88737 - 0.423389i) q^{77} +(-2.33931 + 3.28095i) q^{78} +(-0.833854 + 1.44428i) q^{79} +(-1.34217 + 5.00904i) q^{80} +(6.71156 + 5.99625i) q^{81} +(-5.77120 - 3.33200i) q^{82} +(10.2624 + 10.2624i) q^{83} +(-3.58514 - 6.30989i) q^{84} +(-8.70570 - 8.70570i) q^{85} +(0.359801 + 1.34279i) q^{86} +(15.0035 + 2.76571i) q^{87} +(-3.71303 + 2.14372i) q^{88} +(-0.330604 - 1.23383i) q^{89} +(5.91614 - 0.948764i) q^{90} +(8.26174 + 4.76902i) q^{91} +4.10079i q^{92} +(-0.299420 + 0.629314i) q^{93} +(0.642160 + 1.11225i) q^{94} +(11.5840 + 20.0642i) q^{95} +(-8.92387 - 4.24587i) q^{96} +(6.39435 - 6.39435i) q^{97} +(3.69542 - 2.59697i) q^{98} +(-4.50648 - 3.26085i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.623254 0.167000i 0.440707 0.118087i −0.0316410 0.999499i \(-0.510073\pi\)
0.472348 + 0.881412i \(0.343407\pi\)
\(3\) 0.313993 1.70335i 0.181284 0.983431i
\(4\) −1.37149 + 0.791833i −0.685747 + 0.395916i
\(5\) −2.98988 + 0.801137i −1.33712 + 0.358279i −0.855364 0.518028i \(-0.826666\pi\)
−0.481753 + 0.876307i \(0.660000\pi\)
\(6\) −0.0887629 1.11406i −0.0362373 0.454812i
\(7\) −2.60516 + 0.461652i −0.984659 + 0.174488i
\(8\) −1.63506 + 1.63506i −0.578081 + 0.578081i
\(9\) −2.80282 1.06968i −0.934272 0.356561i
\(10\) −1.72966 + 0.998622i −0.546968 + 0.315792i
\(11\) 1.79099 + 0.479894i 0.540004 + 0.144694i 0.518504 0.855075i \(-0.326489\pi\)
0.0214999 + 0.999769i \(0.493156\pi\)
\(12\) 0.918130 + 2.58477i 0.265041 + 0.746159i
\(13\) −2.76022 2.31973i −0.765548 0.643378i
\(14\) −1.54658 + 0.722789i −0.413341 + 0.193174i
\(15\) 0.425815 + 5.34437i 0.109945 + 1.37991i
\(16\) 0.837665 1.45088i 0.209416 0.362720i
\(17\) 1.98874 + 3.44460i 0.482341 + 0.835439i 0.999794 0.0202725i \(-0.00645338\pi\)
−0.517454 + 0.855711i \(0.673120\pi\)
\(18\) −1.92550 0.198612i −0.453845 0.0468133i
\(19\) −1.93721 7.22976i −0.444426 1.65862i −0.717448 0.696612i \(-0.754690\pi\)
0.273022 0.962008i \(-0.411977\pi\)
\(20\) 3.46624 3.46624i 0.775075 0.775075i
\(21\) −0.0316476 + 4.58247i −0.00690607 + 0.999976i
\(22\) 1.19638 0.255070
\(23\) 1.29472 2.24251i 0.269967 0.467596i −0.698886 0.715233i \(-0.746321\pi\)
0.968853 + 0.247637i \(0.0796539\pi\)
\(24\) 2.27168 + 3.29848i 0.463706 + 0.673299i
\(25\) 3.96745 2.29061i 0.793490 0.458122i
\(26\) −2.10772 0.984824i −0.413357 0.193140i
\(27\) −2.70211 + 4.43831i −0.520021 + 0.854153i
\(28\) 3.20742 2.69601i 0.606145 0.509498i
\(29\) 8.80819i 1.63564i 0.575474 + 0.817820i \(0.304818\pi\)
−0.575474 + 0.817820i \(0.695182\pi\)
\(30\) 1.15790 + 3.25979i 0.211403 + 0.595153i
\(31\) −0.388653 0.104139i −0.0698042 0.0187040i 0.223748 0.974647i \(-0.428171\pi\)
−0.293552 + 0.955943i \(0.594837\pi\)
\(32\) 1.47673 5.51122i 0.261051 0.974255i
\(33\) 1.37979 2.90000i 0.240190 0.504826i
\(34\) 1.81474 + 1.81474i 0.311225 + 0.311225i
\(35\) 7.41929 3.46738i 1.25409 0.586094i
\(36\) 4.69106 0.752299i 0.781843 0.125383i
\(37\) −8.52423 + 2.28406i −1.40138 + 0.375497i −0.878838 0.477119i \(-0.841681\pi\)
−0.522537 + 0.852617i \(0.675014\pi\)
\(38\) −2.41474 4.18246i −0.391723 0.678484i
\(39\) −4.81801 + 3.97325i −0.771500 + 0.636230i
\(40\) 3.57873 6.19854i 0.565847 0.980075i
\(41\) −7.30296 7.30296i −1.14053 1.14053i −0.988353 0.152178i \(-0.951371\pi\)
−0.152178 0.988353i \(-0.548629\pi\)
\(42\) 0.745549 + 2.86132i 0.115041 + 0.441512i
\(43\) 2.15449i 0.328557i 0.986414 + 0.164278i \(0.0525296\pi\)
−0.986414 + 0.164278i \(0.947470\pi\)
\(44\) −2.83633 + 0.759992i −0.427593 + 0.114573i
\(45\) 9.23705 + 0.952785i 1.37698 + 0.142033i
\(46\) 0.432436 1.61387i 0.0637592 0.237953i
\(47\) 0.515167 + 1.92263i 0.0751449 + 0.280445i 0.993266 0.115855i \(-0.0369608\pi\)
−0.918121 + 0.396300i \(0.870294\pi\)
\(48\) −2.20834 1.88240i −0.318746 0.271702i
\(49\) 6.57375 2.40536i 0.939108 0.343623i
\(50\) 2.09020 2.09020i 0.295598 0.295598i
\(51\) 6.49182 2.30595i 0.909037 0.322897i
\(52\) 5.62247 + 0.995867i 0.779697 + 0.138102i
\(53\) −1.46449 + 0.845522i −0.201163 + 0.116141i −0.597198 0.802094i \(-0.703719\pi\)
0.396035 + 0.918235i \(0.370386\pi\)
\(54\) −0.942901 + 3.21745i −0.128313 + 0.437839i
\(55\) −5.73931 −0.773889
\(56\) 3.50477 5.01443i 0.468344 0.670081i
\(57\) −12.9231 + 1.02965i −1.71171 + 0.136381i
\(58\) 1.47097 + 5.48974i 0.193148 + 0.720838i
\(59\) −7.21924 1.93439i −0.939865 0.251836i −0.243809 0.969823i \(-0.578397\pi\)
−0.696056 + 0.717987i \(0.745064\pi\)
\(60\) −4.81585 6.99261i −0.621724 0.902742i
\(61\) 0.418120 0.724204i 0.0535347 0.0927249i −0.838016 0.545645i \(-0.816285\pi\)
0.891551 + 0.452921i \(0.149618\pi\)
\(62\) −0.259621 −0.0329719
\(63\) 7.79562 + 1.49277i 0.982155 + 0.188071i
\(64\) 0.330842i 0.0413552i
\(65\) 10.1112 + 4.72442i 1.25414 + 0.585992i
\(66\) 0.375656 2.03786i 0.0462401 0.250843i
\(67\) −3.34274 0.895685i −0.408381 0.109425i 0.0487796 0.998810i \(-0.484467\pi\)
−0.457160 + 0.889384i \(0.651133\pi\)
\(68\) −5.45510 3.14950i −0.661528 0.381933i
\(69\) −3.41326 2.90949i −0.410908 0.350262i
\(70\) 4.04504 3.40008i 0.483475 0.406387i
\(71\) 1.94434 + 1.94434i 0.230750 + 0.230750i 0.813006 0.582255i \(-0.197830\pi\)
−0.582255 + 0.813006i \(0.697830\pi\)
\(72\) 6.33176 2.83378i 0.746206 0.333964i
\(73\) 0.241870 0.902673i 0.0283088 0.105650i −0.950326 0.311257i \(-0.899250\pi\)
0.978635 + 0.205607i \(0.0659168\pi\)
\(74\) −4.93132 + 2.84710i −0.573254 + 0.330968i
\(75\) −2.65596 7.47720i −0.306684 0.863393i
\(76\) 8.38163 + 8.38163i 0.961439 + 0.961439i
\(77\) −4.88737 0.423389i −0.556967 0.0482496i
\(78\) −2.33931 + 3.28095i −0.264875 + 0.371495i
\(79\) −0.833854 + 1.44428i −0.0938159 + 0.162494i −0.909114 0.416548i \(-0.863240\pi\)
0.815298 + 0.579042i \(0.196573\pi\)
\(80\) −1.34217 + 5.00904i −0.150059 + 0.560028i
\(81\) 6.71156 + 5.99625i 0.745729 + 0.666249i
\(82\) −5.77120 3.33200i −0.637322 0.367958i
\(83\) 10.2624 + 10.2624i 1.12645 + 1.12645i 0.990750 + 0.135699i \(0.0433279\pi\)
0.135699 + 0.990750i \(0.456672\pi\)
\(84\) −3.58514 6.30989i −0.391171 0.688465i
\(85\) −8.70570 8.70570i −0.944266 0.944266i
\(86\) 0.359801 + 1.34279i 0.0387983 + 0.144797i
\(87\) 15.0035 + 2.76571i 1.60854 + 0.296516i
\(88\) −3.71303 + 2.14372i −0.395810 + 0.228521i
\(89\) −0.330604 1.23383i −0.0350439 0.130786i 0.946188 0.323618i \(-0.104899\pi\)
−0.981232 + 0.192832i \(0.938233\pi\)
\(90\) 5.91614 0.948764i 0.623616 0.100009i
\(91\) 8.26174 + 4.76902i 0.866066 + 0.499929i
\(92\) 4.10079i 0.427537i
\(93\) −0.299420 + 0.629314i −0.0310485 + 0.0652569i
\(94\) 0.642160 + 1.11225i 0.0662337 + 0.114720i
\(95\) 11.5840 + 20.0642i 1.18850 + 2.05854i
\(96\) −8.92387 4.24587i −0.910788 0.433342i
\(97\) 6.39435 6.39435i 0.649248 0.649248i −0.303563 0.952811i \(-0.598176\pi\)
0.952811 + 0.303563i \(0.0981764\pi\)
\(98\) 3.69542 2.59697i 0.373294 0.262333i
\(99\) −4.50648 3.26085i −0.452919 0.327727i
\(100\) −3.62756 + 6.28312i −0.362756 + 0.628312i
\(101\) −5.04057 8.73052i −0.501555 0.868719i −0.999998 0.00179663i \(-0.999428\pi\)
0.498443 0.866922i \(-0.333905\pi\)
\(102\) 3.66096 2.52132i 0.362489 0.249648i
\(103\) 12.9840 + 7.49631i 1.27935 + 0.738633i 0.976729 0.214477i \(-0.0688048\pi\)
0.302622 + 0.953111i \(0.402138\pi\)
\(104\) 8.30603 0.720227i 0.814473 0.0706241i
\(105\) −3.57656 13.7264i −0.349036 1.33956i
\(106\) −0.771545 + 0.771545i −0.0749390 + 0.0749390i
\(107\) 0.147616 + 0.0852260i 0.0142706 + 0.00823911i 0.507118 0.861876i \(-0.330711\pi\)
−0.492848 + 0.870116i \(0.664044\pi\)
\(108\) 0.191531 8.22674i 0.0184300 0.791618i
\(109\) −14.0633 3.76826i −1.34702 0.360933i −0.487987 0.872851i \(-0.662269\pi\)
−0.859035 + 0.511917i \(0.828935\pi\)
\(110\) −3.57705 + 0.958467i −0.341058 + 0.0913862i
\(111\) 1.21401 + 15.2369i 0.115229 + 1.44623i
\(112\) −1.51245 + 4.16648i −0.142913 + 0.393696i
\(113\) 1.78658i 0.168068i −0.996463 0.0840339i \(-0.973220\pi\)
0.996463 0.0840339i \(-0.0267804\pi\)
\(114\) −7.88241 + 2.79989i −0.738255 + 0.262234i
\(115\) −2.07449 + 7.74210i −0.193447 + 0.721954i
\(116\) −6.97462 12.0804i −0.647577 1.12164i
\(117\) 5.25502 + 9.45435i 0.485827 + 0.874055i
\(118\) −4.82246 −0.443943
\(119\) −6.77121 8.05564i −0.620715 0.738460i
\(120\) −9.43460 8.04214i −0.861257 0.734143i
\(121\) −6.54893 3.78103i −0.595357 0.343730i
\(122\) 0.139652 0.521189i 0.0126435 0.0471862i
\(123\) −14.7326 + 10.1464i −1.32839 + 0.914873i
\(124\) 0.615497 0.164922i 0.0552733 0.0148104i
\(125\) 0.916606 0.916606i 0.0819837 0.0819837i
\(126\) 5.10794 0.371496i 0.455051 0.0330955i
\(127\) 4.94560i 0.438851i 0.975629 + 0.219425i \(0.0704182\pi\)
−0.975629 + 0.219425i \(0.929582\pi\)
\(128\) 2.89820 + 10.8162i 0.256167 + 0.956030i
\(129\) 3.66986 + 0.676496i 0.323113 + 0.0595622i
\(130\) 7.09080 + 1.25594i 0.621904 + 0.110153i
\(131\) −13.7622 7.94561i −1.20241 0.694211i −0.241318 0.970446i \(-0.577580\pi\)
−0.961090 + 0.276235i \(0.910913\pi\)
\(132\) 0.403946 + 5.06990i 0.0351590 + 0.441278i
\(133\) 8.38438 + 17.9404i 0.727018 + 1.55563i
\(134\) −2.23295 −0.192898
\(135\) 4.52330 15.4348i 0.389304 1.32841i
\(136\) −8.88384 2.38042i −0.761783 0.204119i
\(137\) −1.28795 0.345106i −0.110037 0.0294844i 0.203380 0.979100i \(-0.434807\pi\)
−0.313417 + 0.949615i \(0.601474\pi\)
\(138\) −2.61321 1.24334i −0.222451 0.105840i
\(139\) −18.4564 −1.56545 −0.782726 0.622367i \(-0.786171\pi\)
−0.782726 + 0.622367i \(0.786171\pi\)
\(140\) −7.42993 + 10.6303i −0.627944 + 0.898427i
\(141\) 3.43668 0.273818i 0.289420 0.0230597i
\(142\) 1.53652 + 0.887111i 0.128942 + 0.0744447i
\(143\) −3.83031 5.47924i −0.320306 0.458197i
\(144\) −3.89980 + 3.17051i −0.324983 + 0.264209i
\(145\) −7.05656 26.3355i −0.586016 2.18704i
\(146\) 0.602987i 0.0499035i
\(147\) −2.03306 11.9527i −0.167684 0.985841i
\(148\) 9.88235 9.88235i 0.812324 0.812324i
\(149\) −0.756961 + 0.202827i −0.0620126 + 0.0166162i −0.289692 0.957120i \(-0.593553\pi\)
0.227679 + 0.973736i \(0.426886\pi\)
\(150\) −2.90403 4.21665i −0.237113 0.344288i
\(151\) 2.80292 10.4606i 0.228099 0.851275i −0.753041 0.657974i \(-0.771414\pi\)
0.981139 0.193302i \(-0.0619196\pi\)
\(152\) 14.9885 + 8.65363i 1.21573 + 0.701902i
\(153\) −1.88945 11.7819i −0.152753 0.952511i
\(154\) −3.11677 + 0.552313i −0.251157 + 0.0445066i
\(155\) 1.24546 0.100038
\(156\) 3.46173 9.26436i 0.277160 0.741742i
\(157\) −6.61319 11.4544i −0.527790 0.914159i −0.999475 0.0323919i \(-0.989688\pi\)
0.471685 0.881767i \(-0.343646\pi\)
\(158\) −0.278508 + 1.03941i −0.0221569 + 0.0826906i
\(159\) 0.980383 + 2.76003i 0.0777494 + 0.218884i
\(160\) 17.6610i 1.39622i
\(161\) −2.33769 + 6.43982i −0.184235 + 0.507529i
\(162\) 5.18438 + 2.61635i 0.407323 + 0.205560i
\(163\) 4.27166 1.14459i 0.334582 0.0896510i −0.0876168 0.996154i \(-0.527925\pi\)
0.422199 + 0.906503i \(0.361258\pi\)
\(164\) 15.7987 + 4.23325i 1.23367 + 0.330561i
\(165\) −1.80211 + 9.77607i −0.140294 + 0.761066i
\(166\) 8.10993 + 4.68227i 0.629453 + 0.363415i
\(167\) −15.0228 + 15.0228i −1.16250 + 1.16250i −0.178574 + 0.983927i \(0.557148\pi\)
−0.983927 + 0.178574i \(0.942852\pi\)
\(168\) −7.44086 7.54435i −0.574075 0.582059i
\(169\) 2.23767 + 12.8060i 0.172128 + 0.985075i
\(170\) −6.87971 3.97200i −0.527650 0.304639i
\(171\) −2.30390 + 22.3359i −0.176184 + 1.70807i
\(172\) −1.70600 2.95488i −0.130081 0.225307i
\(173\) 0.715607 1.23947i 0.0544066 0.0942349i −0.837539 0.546377i \(-0.816007\pi\)
0.891946 + 0.452142i \(0.149340\pi\)
\(174\) 9.81283 0.781840i 0.743909 0.0592712i
\(175\) −9.27840 + 7.79899i −0.701381 + 0.589549i
\(176\) 2.19652 2.19652i 0.165569 0.165569i
\(177\) −5.56174 + 11.6895i −0.418046 + 0.878638i
\(178\) −0.412100 0.713778i −0.0308882 0.0534999i
\(179\) 1.49301 + 2.58597i 0.111593 + 0.193284i 0.916413 0.400235i \(-0.131071\pi\)
−0.804820 + 0.593519i \(0.797738\pi\)
\(180\) −13.4230 + 6.00746i −1.00049 + 0.447770i
\(181\) 0.139593i 0.0103759i −0.999987 0.00518793i \(-0.998349\pi\)
0.999987 0.00518793i \(-0.00165138\pi\)
\(182\) 5.94559 + 1.59260i 0.440716 + 0.118051i
\(183\) −1.10229 0.939600i −0.0814835 0.0694572i
\(184\) 1.54971 + 5.78358i 0.114246 + 0.426371i
\(185\) 23.6566 13.6582i 1.73927 1.00417i
\(186\) −0.0815192 + 0.442226i −0.00597728 + 0.0324256i
\(187\) 1.90877 + 7.12363i 0.139583 + 0.520932i
\(188\) −2.22895 2.22895i −0.162563 0.162563i
\(189\) 4.99048 12.8100i 0.363004 0.931787i
\(190\) 10.5705 + 10.5705i 0.766866 + 0.766866i
\(191\) −21.1482 12.2099i −1.53023 0.883478i −0.999351 0.0360289i \(-0.988529\pi\)
−0.530877 0.847449i \(-0.678138\pi\)
\(192\) −0.563540 0.103882i −0.0406700 0.00749704i
\(193\) −1.59054 + 5.93597i −0.114489 + 0.427280i −0.999248 0.0387689i \(-0.987656\pi\)
0.884759 + 0.466049i \(0.154323\pi\)
\(194\) 2.91744 5.05316i 0.209460 0.362796i
\(195\) 11.2222 15.7394i 0.803637 1.12713i
\(196\) −7.11123 + 8.50425i −0.507945 + 0.607447i
\(197\) 8.95222 + 8.95222i 0.637819 + 0.637819i 0.950017 0.312198i \(-0.101065\pi\)
−0.312198 + 0.950017i \(0.601065\pi\)
\(198\) −3.35324 1.27975i −0.238305 0.0909479i
\(199\) −3.19003 + 1.84177i −0.226135 + 0.130559i −0.608788 0.793333i \(-0.708344\pi\)
0.382653 + 0.923892i \(0.375011\pi\)
\(200\) −2.74174 + 10.2323i −0.193870 + 0.723533i
\(201\) −2.57526 + 5.41262i −0.181645 + 0.381777i
\(202\) −4.59955 4.59955i −0.323623 0.323623i
\(203\) −4.06632 22.9468i −0.285400 1.61055i
\(204\) −7.07758 + 8.30303i −0.495529 + 0.581328i
\(205\) 27.6857 + 15.9843i 1.93365 + 1.11639i
\(206\) 9.34420 + 2.50377i 0.651042 + 0.174446i
\(207\) −6.02763 + 4.90042i −0.418949 + 0.340603i
\(208\) −5.67779 + 2.06159i −0.393684 + 0.142945i
\(209\) 13.8781i 0.959967i
\(210\) −4.52141 7.95774i −0.312007 0.549136i
\(211\) 18.0624 1.24346 0.621732 0.783230i \(-0.286429\pi\)
0.621732 + 0.783230i \(0.286429\pi\)
\(212\) 1.33902 2.31926i 0.0919646 0.159287i
\(213\) 3.92240 2.70138i 0.268759 0.185096i
\(214\) 0.106235 + 0.0284655i 0.00726206 + 0.00194586i
\(215\) −1.72604 6.44168i −0.117715 0.439319i
\(216\) −2.83879 11.6750i −0.193155 0.794384i
\(217\) 1.06058 + 0.0918774i 0.0719970 + 0.00623704i
\(218\) −9.39431 −0.636263
\(219\) −1.46162 0.695424i −0.0987674 0.0469924i
\(220\) 7.87144 4.54458i 0.530692 0.306395i
\(221\) 2.50119 14.1212i 0.168248 0.949896i
\(222\) 3.30121 + 9.29374i 0.221563 + 0.623755i
\(223\) −2.78290 + 2.78290i −0.186357 + 0.186357i −0.794119 0.607762i \(-0.792067\pi\)
0.607762 + 0.794119i \(0.292067\pi\)
\(224\) −1.30285 + 15.0394i −0.0870502 + 1.00486i
\(225\) −13.5703 + 2.17625i −0.904684 + 0.145083i
\(226\) −0.298360 1.11350i −0.0198466 0.0740686i
\(227\) −2.81204 + 10.4947i −0.186642 + 0.696557i 0.807631 + 0.589688i \(0.200749\pi\)
−0.994273 + 0.106869i \(0.965917\pi\)
\(228\) 16.9086 11.6451i 1.11980 0.771215i
\(229\) −2.58390 + 0.692354i −0.170749 + 0.0457520i −0.343181 0.939269i \(-0.611504\pi\)
0.172432 + 0.985021i \(0.444838\pi\)
\(230\) 5.17173i 0.341014i
\(231\) −2.25578 + 8.19196i −0.148419 + 0.538992i
\(232\) −14.4019 14.4019i −0.945532 0.945532i
\(233\) 7.66251 13.2719i 0.501988 0.869468i −0.498010 0.867171i \(-0.665936\pi\)
0.999997 0.00229662i \(-0.000731037\pi\)
\(234\) 4.85409 + 5.01487i 0.317322 + 0.327832i
\(235\) −3.08058 5.33572i −0.200955 0.348064i
\(236\) 11.4329 3.06343i 0.744216 0.199412i
\(237\) 2.19829 + 1.87384i 0.142794 + 0.121719i
\(238\) −5.56547 3.88992i −0.360756 0.252146i
\(239\) −1.25299 1.25299i −0.0810494 0.0810494i 0.665420 0.746469i \(-0.268253\pi\)
−0.746469 + 0.665420i \(0.768253\pi\)
\(240\) 8.11073 + 3.85899i 0.523545 + 0.249097i
\(241\) 3.66827 13.6902i 0.236294 0.881861i −0.741267 0.671210i \(-0.765775\pi\)
0.977561 0.210651i \(-0.0675585\pi\)
\(242\) −4.71308 1.26287i −0.302968 0.0811801i
\(243\) 12.3211 9.54937i 0.790399 0.612592i
\(244\) 1.32432i 0.0847811i
\(245\) −17.7277 + 12.4582i −1.13258 + 0.795926i
\(246\) −7.48769 + 8.78415i −0.477397 + 0.560057i
\(247\) −11.4240 + 24.4496i −0.726891 + 1.55569i
\(248\) 0.805745 0.465197i 0.0511649 0.0295400i
\(249\) 20.7029 14.2582i 1.31199 0.903577i
\(250\) 0.418204 0.724351i 0.0264496 0.0458120i
\(251\) −6.75701 −0.426499 −0.213249 0.976998i \(-0.568405\pi\)
−0.213249 + 0.976998i \(0.568405\pi\)
\(252\) −11.8737 + 4.12550i −0.747971 + 0.259882i
\(253\) 3.39499 3.39499i 0.213441 0.213441i
\(254\) 0.825916 + 3.08236i 0.0518226 + 0.193405i
\(255\) −17.5624 + 12.0953i −1.09980 + 0.757440i
\(256\) 3.94347 + 6.83029i 0.246467 + 0.426893i
\(257\) 2.25344 3.90308i 0.140566 0.243467i −0.787144 0.616769i \(-0.788441\pi\)
0.927710 + 0.373302i \(0.121775\pi\)
\(258\) 2.40023 0.191239i 0.149432 0.0119060i
\(259\) 21.1526 9.88558i 1.31436 0.614260i
\(260\) −17.6084 + 1.52684i −1.09202 + 0.0946909i
\(261\) 9.42196 24.6877i 0.583205 1.52813i
\(262\) −9.90425 2.65384i −0.611887 0.163955i
\(263\) 19.3371 11.1643i 1.19237 0.688418i 0.233530 0.972350i \(-0.424972\pi\)
0.958844 + 0.283932i \(0.0916390\pi\)
\(264\) 2.48564 + 6.99771i 0.152981 + 0.430679i
\(265\) 3.70127 3.70127i 0.227367 0.227367i
\(266\) 8.22164 + 9.78121i 0.504101 + 0.599725i
\(267\) −2.20545 + 0.175720i −0.134972 + 0.0107539i
\(268\) 5.29378 1.41847i 0.323369 0.0866466i
\(269\) −5.45550 + 3.14973i −0.332628 + 0.192043i −0.657007 0.753884i \(-0.728178\pi\)
0.324380 + 0.945927i \(0.394845\pi\)
\(270\) 0.241549 10.3752i 0.0147002 0.631413i
\(271\) 7.65925 2.05229i 0.465267 0.124668i −0.0185674 0.999828i \(-0.505911\pi\)
0.483834 + 0.875160i \(0.339244\pi\)
\(272\) 6.66360 0.404040
\(273\) 10.7175 12.5752i 0.648650 0.761087i
\(274\) −0.860354 −0.0519759
\(275\) 8.20492 2.19850i 0.494775 0.132575i
\(276\) 6.98510 + 1.28762i 0.420453 + 0.0775057i
\(277\) 16.4162 9.47790i 0.986354 0.569472i 0.0821715 0.996618i \(-0.473814\pi\)
0.904182 + 0.427146i \(0.140481\pi\)
\(278\) −11.5030 + 3.08222i −0.689905 + 0.184860i
\(279\) 0.977928 + 0.707619i 0.0585470 + 0.0423640i
\(280\) −6.46161 + 17.8003i −0.386155 + 1.06377i
\(281\) 12.9356 12.9356i 0.771675 0.771675i −0.206724 0.978399i \(-0.566280\pi\)
0.978399 + 0.206724i \(0.0662803\pi\)
\(282\) 2.09619 0.744584i 0.124826 0.0443393i
\(283\) 2.79399 1.61311i 0.166085 0.0958894i −0.414653 0.909979i \(-0.636097\pi\)
0.580739 + 0.814090i \(0.302764\pi\)
\(284\) −4.20624 1.12706i −0.249594 0.0668786i
\(285\) 37.8136 13.4317i 2.23989 0.795625i
\(286\) −3.30229 2.77529i −0.195268 0.164106i
\(287\) 22.3968 + 15.6540i 1.32204 + 0.924026i
\(288\) −10.0342 + 13.8673i −0.591274 + 0.817139i
\(289\) 0.589812 1.02158i 0.0346948 0.0600932i
\(290\) −8.79606 15.2352i −0.516522 0.894643i
\(291\) −8.88405 12.8996i −0.520792 0.756189i
\(292\) 0.383042 + 1.42953i 0.0224158 + 0.0836571i
\(293\) −20.3414 + 20.3414i −1.18836 + 1.18836i −0.210839 + 0.977521i \(0.567619\pi\)
−0.977521 + 0.210839i \(0.932381\pi\)
\(294\) −3.26321 7.11003i −0.190314 0.414665i
\(295\) 23.1344 1.34694
\(296\) 10.2030 17.6722i 0.593040 1.02718i
\(297\) −6.96937 + 6.65224i −0.404404 + 0.386002i
\(298\) −0.437906 + 0.252825i −0.0253672 + 0.0146458i
\(299\) −8.77574 + 3.18644i −0.507514 + 0.184277i
\(300\) 9.56333 + 8.15187i 0.552139 + 0.470648i
\(301\) −0.994626 5.61280i −0.0573293 0.323517i
\(302\) 6.98772i 0.402098i
\(303\) −16.4538 + 5.84454i −0.945249 + 0.335760i
\(304\) −12.1122 3.24546i −0.694684 0.186140i
\(305\) −0.669942 + 2.50026i −0.0383608 + 0.143164i
\(306\) −3.14519 7.02758i −0.179798 0.401740i
\(307\) 4.08808 + 4.08808i 0.233319 + 0.233319i 0.814077 0.580758i \(-0.197244\pi\)
−0.580758 + 0.814077i \(0.697244\pi\)
\(308\) 7.03825 3.28930i 0.401042 0.187425i
\(309\) 16.8457 19.7625i 0.958321 1.12425i
\(310\) 0.776236 0.207992i 0.0440872 0.0118131i
\(311\) 12.4960 + 21.6436i 0.708581 + 1.22730i 0.965383 + 0.260835i \(0.0839977\pi\)
−0.256802 + 0.966464i \(0.582669\pi\)
\(312\) 1.38124 14.3742i 0.0781972 0.813781i
\(313\) −7.08592 + 12.2732i −0.400520 + 0.693720i −0.993789 0.111284i \(-0.964504\pi\)
0.593269 + 0.805004i \(0.297837\pi\)
\(314\) −6.03458 6.03458i −0.340551 0.340551i
\(315\) −24.5039 + 1.78215i −1.38064 + 0.100413i
\(316\) 2.64109i 0.148573i
\(317\) −15.1544 + 4.06062i −0.851158 + 0.228067i −0.657923 0.753085i \(-0.728565\pi\)
−0.193235 + 0.981152i \(0.561898\pi\)
\(318\) 1.07195 + 1.55647i 0.0601121 + 0.0872826i
\(319\) −4.22700 + 15.7754i −0.236667 + 0.883252i
\(320\) 0.265049 + 0.989178i 0.0148167 + 0.0552967i
\(321\) 0.191520 0.224681i 0.0106896 0.0125405i
\(322\) −0.381518 + 4.40404i −0.0212612 + 0.245427i
\(323\) 21.0510 21.0510i 1.17131 1.17131i
\(324\) −13.9529 2.90938i −0.775161 0.161632i
\(325\) −16.2647 2.88084i −0.902201 0.159800i
\(326\) 2.47118 1.42674i 0.136866 0.0790196i
\(327\) −10.8345 + 22.7716i −0.599147 + 1.25927i
\(328\) 23.8816 1.31864
\(329\) −2.22968 4.77094i −0.122926 0.263030i
\(330\) 0.509438 + 6.39392i 0.0280436 + 0.351974i
\(331\) −2.53446 9.45875i −0.139307 0.519900i −0.999943 0.0106796i \(-0.996601\pi\)
0.860636 0.509220i \(-0.170066\pi\)
\(332\) −22.2010 5.94875i −1.21844 0.326480i
\(333\) 26.3351 + 2.71641i 1.44315 + 0.148859i
\(334\) −6.85421 + 11.8718i −0.375046 + 0.649598i
\(335\) 10.7120 0.585257
\(336\) 6.62209 + 3.88449i 0.361265 + 0.211916i
\(337\) 10.9367i 0.595763i −0.954603 0.297881i \(-0.903720\pi\)
0.954603 0.297881i \(-0.0962800\pi\)
\(338\) 3.53324 + 7.60767i 0.192183 + 0.413803i
\(339\) −3.04318 0.560975i −0.165283 0.0304680i
\(340\) 18.8333 + 5.04636i 1.02138 + 0.273678i
\(341\) −0.646098 0.373025i −0.0349882 0.0202004i
\(342\) 2.29418 + 14.3057i 0.124055 + 0.773562i
\(343\) −16.0153 + 9.30114i −0.864743 + 0.502214i
\(344\) −3.52272 3.52272i −0.189932 0.189932i
\(345\) 12.5361 + 5.96455i 0.674923 + 0.321121i
\(346\) 0.239013 0.892009i 0.0128494 0.0479547i
\(347\) 8.21419 4.74247i 0.440961 0.254589i −0.263044 0.964784i \(-0.584727\pi\)
0.704005 + 0.710195i \(0.251393\pi\)
\(348\) −22.7671 + 8.08707i −1.22045 + 0.433512i
\(349\) −16.6668 16.6668i −0.892155 0.892155i 0.102571 0.994726i \(-0.467293\pi\)
−0.994726 + 0.102571i \(0.967293\pi\)
\(350\) −4.48036 + 6.41025i −0.239485 + 0.342642i
\(351\) 17.7541 5.98255i 0.947645 0.319325i
\(352\) 5.28961 9.16187i 0.281937 0.488329i
\(353\) −6.45969 + 24.1079i −0.343815 + 1.28313i 0.550176 + 0.835049i \(0.314561\pi\)
−0.893991 + 0.448085i \(0.852106\pi\)
\(354\) −1.51422 + 8.21434i −0.0804798 + 0.436587i
\(355\) −7.37102 4.25566i −0.391213 0.225867i
\(356\) 1.43041 + 1.43041i 0.0758115 + 0.0758115i
\(357\) −15.8477 + 9.00433i −0.838750 + 0.476560i
\(358\) 1.36238 + 1.36238i 0.0720040 + 0.0720040i
\(359\) 8.76540 + 32.7129i 0.462620 + 1.72652i 0.664661 + 0.747145i \(0.268576\pi\)
−0.202041 + 0.979377i \(0.564757\pi\)
\(360\) −16.6610 + 13.5453i −0.878111 + 0.713898i
\(361\) −32.0621 + 18.5111i −1.68748 + 0.974268i
\(362\) −0.0233120 0.0870017i −0.00122525 0.00457271i
\(363\) −8.49674 + 9.96792i −0.445963 + 0.523180i
\(364\) −15.1072 + 0.00123103i −0.791833 + 6.45235e-5i
\(365\) 2.89266i 0.151409i
\(366\) −0.843919 0.401527i −0.0441123 0.0209881i
\(367\) −7.99630 13.8500i −0.417404 0.722964i 0.578274 0.815843i \(-0.303727\pi\)
−0.995677 + 0.0928784i \(0.970393\pi\)
\(368\) −2.16908 3.75695i −0.113071 0.195845i
\(369\) 12.6570 + 28.2807i 0.658898 + 1.47224i
\(370\) 12.4632 12.4632i 0.647928 0.647928i
\(371\) 3.42489 2.87881i 0.177812 0.149460i
\(372\) −0.0876582 1.10019i −0.00454487 0.0570423i
\(373\) 3.92668 6.80121i 0.203316 0.352153i −0.746279 0.665633i \(-0.768162\pi\)
0.949595 + 0.313480i \(0.101495\pi\)
\(374\) 2.37930 + 4.12106i 0.123031 + 0.213095i
\(375\) −1.27349 1.84911i −0.0657630 0.0954876i
\(376\) −3.98594 2.30129i −0.205559 0.118680i
\(377\) 20.4327 24.3126i 1.05234 1.25216i
\(378\) 0.971070 8.81726i 0.0499465 0.453511i
\(379\) 16.0108 16.0108i 0.822421 0.822421i −0.164033 0.986455i \(-0.552450\pi\)
0.986455 + 0.164033i \(0.0524505\pi\)
\(380\) −31.7749 18.3453i −1.63002 0.941092i
\(381\) 8.42409 + 1.55288i 0.431579 + 0.0795567i
\(382\) −15.2197 4.07811i −0.778709 0.208654i
\(383\) −9.44161 + 2.52987i −0.482444 + 0.129270i −0.491840 0.870685i \(-0.663676\pi\)
0.00939643 + 0.999956i \(0.497009\pi\)
\(384\) 19.3339 1.54043i 0.986628 0.0786099i
\(385\) 14.9518 2.64957i 0.762017 0.135034i
\(386\) 3.96523i 0.201825i
\(387\) 2.30462 6.03865i 0.117151 0.306962i
\(388\) −3.70656 + 13.8331i −0.188172 + 0.702268i
\(389\) −11.6099 20.1089i −0.588645 1.01956i −0.994410 0.105585i \(-0.966328\pi\)
0.405765 0.913977i \(-0.367005\pi\)
\(390\) 4.36577 11.6838i 0.221069 0.591631i
\(391\) 10.2994 0.520864
\(392\) −6.81557 + 14.6814i −0.344238 + 0.741522i
\(393\) −17.8554 + 20.9470i −0.900686 + 1.05664i
\(394\) 7.07452 + 4.08448i 0.356409 + 0.205773i
\(395\) 1.33606 4.98625i 0.0672246 0.250886i
\(396\) 8.76266 + 0.903852i 0.440340 + 0.0454203i
\(397\) −25.1343 + 6.73471i −1.26145 + 0.338005i −0.826750 0.562569i \(-0.809813\pi\)
−0.434702 + 0.900574i \(0.643146\pi\)
\(398\) −1.68062 + 1.68062i −0.0842420 + 0.0842420i
\(399\) 33.1914 8.64838i 1.66165 0.432961i
\(400\) 7.67505i 0.383753i
\(401\) −1.66353 6.20836i −0.0830725 0.310031i 0.911870 0.410480i \(-0.134639\pi\)
−0.994942 + 0.100449i \(0.967972\pi\)
\(402\) −0.701133 + 3.80351i −0.0349693 + 0.189702i
\(403\) 0.831194 + 1.18902i 0.0414047 + 0.0592293i
\(404\) 13.8262 + 7.98257i 0.687880 + 0.397148i
\(405\) −24.8706 12.5512i −1.23583 0.623674i
\(406\) −6.36647 13.6226i −0.315962 0.676077i
\(407\) −16.3629 −0.811080
\(408\) −6.84415 + 14.3849i −0.338836 + 0.712157i
\(409\) 4.91381 + 1.31665i 0.242972 + 0.0651043i 0.378250 0.925703i \(-0.376526\pi\)
−0.135278 + 0.990808i \(0.543193\pi\)
\(410\) 19.9246 + 5.33878i 0.984005 + 0.263663i
\(411\) −0.992245 + 2.08548i −0.0489439 + 0.102869i
\(412\) −23.7433 −1.16975
\(413\) 19.7003 + 1.70662i 0.969389 + 0.0839774i
\(414\) −2.93837 + 4.06082i −0.144413 + 0.199578i
\(415\) −38.9051 22.4619i −1.90978 1.10261i
\(416\) −16.8607 + 11.7866i −0.826662 + 0.577885i
\(417\) −5.79519 + 31.4378i −0.283791 + 1.53951i
\(418\) −2.31764 8.64956i −0.113360 0.423064i
\(419\) 30.1187i 1.47140i 0.677310 + 0.735698i \(0.263146\pi\)
−0.677310 + 0.735698i \(0.736854\pi\)
\(420\) 15.7742 + 15.9936i 0.769704 + 0.780410i
\(421\) 15.4295 15.4295i 0.751987 0.751987i −0.222863 0.974850i \(-0.571540\pi\)
0.974850 + 0.222863i \(0.0715402\pi\)
\(422\) 11.2574 3.01642i 0.548003 0.146837i
\(423\) 0.612684 5.93985i 0.0297897 0.288805i
\(424\) 1.01204 3.77700i 0.0491492 0.183427i
\(425\) 15.7805 + 9.11086i 0.765465 + 0.441942i
\(426\) 1.99352 2.33869i 0.0965863 0.113310i
\(427\) −0.754939 + 2.07970i −0.0365341 + 0.100644i
\(428\) −0.269939 −0.0130480
\(429\) −10.5358 + 4.80392i −0.508671 + 0.231935i
\(430\) −2.15152 3.72655i −0.103756 0.179710i
\(431\) −4.94565 + 18.4574i −0.238224 + 0.889063i 0.738445 + 0.674313i \(0.235560\pi\)
−0.976669 + 0.214750i \(0.931106\pi\)
\(432\) 4.17598 + 7.63825i 0.200917 + 0.367495i
\(433\) 5.12853i 0.246462i −0.992378 0.123231i \(-0.960674\pi\)
0.992378 0.123231i \(-0.0393256\pi\)
\(434\) 0.676355 0.119855i 0.0324661 0.00575320i
\(435\) −47.0743 + 3.75066i −2.25704 + 0.179830i
\(436\) 22.2716 5.96766i 1.06662 0.285799i
\(437\) −18.7210 5.01627i −0.895545 0.239961i
\(438\) −1.02710 0.189334i −0.0490767 0.00904671i
\(439\) 4.82999 + 2.78860i 0.230523 + 0.133093i 0.610813 0.791775i \(-0.290843\pi\)
−0.380290 + 0.924867i \(0.624176\pi\)
\(440\) 9.38411 9.38411i 0.447370 0.447370i
\(441\) −20.9980 0.290048i −0.999905 0.0138118i
\(442\) −0.799375 9.21880i −0.0380224 0.438494i
\(443\) −6.08649 3.51404i −0.289178 0.166957i 0.348393 0.937349i \(-0.386727\pi\)
−0.637571 + 0.770392i \(0.720061\pi\)
\(444\) −13.7301 19.9361i −0.651603 0.946126i
\(445\) 1.97693 + 3.42415i 0.0937156 + 0.162320i
\(446\) −1.26971 + 2.19920i −0.0601224 + 0.104135i
\(447\) 0.107805 + 1.35306i 0.00509901 + 0.0639974i
\(448\) 0.152734 + 0.861896i 0.00721599 + 0.0407208i
\(449\) 0.494694 0.494694i 0.0233460 0.0233460i −0.695337 0.718683i \(-0.744745\pi\)
0.718683 + 0.695337i \(0.244745\pi\)
\(450\) −8.09428 + 3.62259i −0.381568 + 0.170771i
\(451\) −9.57489 16.5842i −0.450864 0.780919i
\(452\) 1.41468 + 2.45029i 0.0665408 + 0.115252i
\(453\) −16.9381 8.05894i −0.795820 0.378642i
\(454\) 7.01046i 0.329017i
\(455\) −28.5223 7.64003i −1.33715 0.358170i
\(456\) 19.4465 22.8136i 0.910665 1.06834i
\(457\) −5.38209 20.0862i −0.251763 0.939594i −0.969862 0.243653i \(-0.921654\pi\)
0.718099 0.695941i \(-0.245013\pi\)
\(458\) −1.49480 + 0.863024i −0.0698475 + 0.0403265i
\(459\) −20.6620 0.481042i −0.964420 0.0224531i
\(460\) −3.28530 12.2609i −0.153178 0.571667i
\(461\) −28.9822 28.9822i −1.34984 1.34984i −0.885833 0.464005i \(-0.846412\pi\)
−0.464005 0.885833i \(-0.653588\pi\)
\(462\) −0.0378627 + 5.48239i −0.00176153 + 0.255064i
\(463\) −0.922226 0.922226i −0.0428595 0.0428595i 0.685352 0.728212i \(-0.259648\pi\)
−0.728212 + 0.685352i \(0.759648\pi\)
\(464\) 12.7796 + 7.37831i 0.593279 + 0.342530i
\(465\) 0.391065 2.12145i 0.0181352 0.0983800i
\(466\) 2.55928 9.55137i 0.118556 0.442459i
\(467\) −10.6300 + 18.4117i −0.491896 + 0.851990i −0.999956 0.00933199i \(-0.997029\pi\)
0.508060 + 0.861322i \(0.330363\pi\)
\(468\) −14.6935 8.80549i −0.679207 0.407034i
\(469\) 9.12188 + 0.790222i 0.421209 + 0.0364890i
\(470\) −2.81105 2.81105i −0.129664 0.129664i
\(471\) −21.5873 + 7.66799i −0.994692 + 0.353322i
\(472\) 14.9667 8.64104i 0.688899 0.397736i
\(473\) −1.03393 + 3.85867i −0.0475401 + 0.177422i
\(474\) 1.68302 + 0.800763i 0.0773038 + 0.0367803i
\(475\) −24.2463 24.2463i −1.11250 1.11250i
\(476\) 15.6654 + 5.68661i 0.718022 + 0.260645i
\(477\) 5.00913 0.803308i 0.229352 0.0367809i
\(478\) −0.990183 0.571682i −0.0452899 0.0261481i
\(479\) 24.4865 + 6.56115i 1.11882 + 0.299786i 0.770405 0.637555i \(-0.220054\pi\)
0.348413 + 0.937341i \(0.386721\pi\)
\(480\) 30.0828 + 5.54542i 1.37309 + 0.253113i
\(481\) 28.8272 + 13.4694i 1.31441 + 0.614153i
\(482\) 9.14505i 0.416546i
\(483\) 10.2353 + 6.00396i 0.465721 + 0.273190i
\(484\) 11.9758 0.544353
\(485\) −13.9956 + 24.2411i −0.635508 + 1.10073i
\(486\) 6.08442 8.00931i 0.275995 0.363309i
\(487\) 14.2676 + 3.82300i 0.646528 + 0.173237i 0.567159 0.823609i \(-0.308043\pi\)
0.0793695 + 0.996845i \(0.474709\pi\)
\(488\) 0.500467 + 1.86777i 0.0226551 + 0.0845499i
\(489\) −0.608363 7.63553i −0.0275111 0.345290i
\(490\) −8.96835 + 10.7252i −0.405149 + 0.484514i
\(491\) −26.0161 −1.17409 −0.587045 0.809554i \(-0.699709\pi\)
−0.587045 + 0.809554i \(0.699709\pi\)
\(492\) 12.1714 25.5815i 0.548729 1.15331i
\(493\) −30.3407 + 17.5172i −1.36648 + 0.788936i
\(494\) −3.03696 + 17.1461i −0.136639 + 0.771439i
\(495\) 16.0862 + 6.13924i 0.723023 + 0.275938i
\(496\) −0.476655 + 0.476655i −0.0214024 + 0.0214024i
\(497\) −5.96293 4.16771i −0.267474 0.186947i
\(498\) 10.5220 12.3439i 0.471503 0.553142i
\(499\) 6.15815 + 22.9825i 0.275677 + 1.02884i 0.955387 + 0.295358i \(0.0954389\pi\)
−0.679710 + 0.733481i \(0.737894\pi\)
\(500\) −0.531322 + 1.98292i −0.0237614 + 0.0886788i
\(501\) 20.8721 + 30.3062i 0.932496 + 1.35398i
\(502\) −4.21133 + 1.12842i −0.187961 + 0.0503640i
\(503\) 2.48652i 0.110868i 0.998462 + 0.0554342i \(0.0176543\pi\)
−0.998462 + 0.0554342i \(0.982346\pi\)
\(504\) −15.1871 + 10.3055i −0.676486 + 0.459045i
\(505\) 22.0650 + 22.0650i 0.981881 + 0.981881i
\(506\) 1.54898 2.68291i 0.0688604 0.119270i
\(507\) 22.5157 + 0.209448i 0.999957 + 0.00930190i
\(508\) −3.91609 6.78286i −0.173748 0.300941i
\(509\) 35.4437 9.49712i 1.57102 0.420953i 0.634886 0.772606i \(-0.281047\pi\)
0.936130 + 0.351653i \(0.114380\pi\)
\(510\) −8.92591 + 10.4714i −0.395246 + 0.463681i
\(511\) −0.213391 + 2.46327i −0.00943987 + 0.108969i
\(512\) −12.2376 12.2376i −0.540832 0.540832i
\(513\) 37.3225 + 10.9377i 1.64783 + 0.482910i
\(514\) 0.752651 2.80893i 0.0331980 0.123897i
\(515\) −44.8262 12.0111i −1.97528 0.529274i
\(516\) −5.56886 + 1.97810i −0.245156 + 0.0870812i
\(517\) 3.69064i 0.162314i
\(518\) 11.5325 9.69371i 0.506710 0.425917i
\(519\) −1.88655 1.60811i −0.0828105 0.0705884i
\(520\) −24.2571 + 8.80766i −1.06374 + 0.386241i
\(521\) −12.9293 + 7.46476i −0.566445 + 0.327037i −0.755728 0.654886i \(-0.772717\pi\)
0.189283 + 0.981922i \(0.439384\pi\)
\(522\) 1.74941 16.9602i 0.0765697 0.742328i
\(523\) 13.8251 23.9457i 0.604528 1.04707i −0.387598 0.921829i \(-0.626695\pi\)
0.992126 0.125245i \(-0.0399716\pi\)
\(524\) 25.1664 1.09940
\(525\) 10.3711 + 18.2532i 0.452631 + 0.796635i
\(526\) 10.1875 10.1875i 0.444194 0.444194i
\(527\) −0.414212 1.54586i −0.0180434 0.0673388i
\(528\) −3.05175 4.43113i −0.132810 0.192840i
\(529\) 8.14742 + 14.1117i 0.354236 + 0.613554i
\(530\) 1.68872 2.92494i 0.0733531 0.127051i
\(531\) 18.1650 + 13.1440i 0.788294 + 0.570402i
\(532\) −25.7049 17.9661i −1.11445 0.778930i
\(533\) 3.21688 + 37.0987i 0.139339 + 1.60693i
\(534\) −1.34521 + 0.477830i −0.0582130 + 0.0206777i
\(535\) −0.509632 0.136555i −0.0220333 0.00590380i
\(536\) 6.93008 4.00108i 0.299334 0.172820i
\(537\) 4.87361 1.73114i 0.210312 0.0747044i
\(538\) −2.87415 + 2.87415i −0.123913 + 0.123913i
\(539\) 12.9278 1.15327i 0.556842 0.0496747i
\(540\) 6.01809 + 24.7504i 0.258977 + 1.06509i
\(541\) −13.1030 + 3.51093i −0.563341 + 0.150947i −0.529241 0.848472i \(-0.677523\pi\)
−0.0341003 + 0.999418i \(0.510857\pi\)
\(542\) 4.43092 2.55819i 0.190324 0.109884i
\(543\) −0.237776 0.0438312i −0.0102039 0.00188098i
\(544\) 21.9208 5.87366i 0.939846 0.251831i
\(545\) 45.0666 1.93044
\(546\) 4.57963 9.62737i 0.195990 0.412013i
\(547\) −5.81433 −0.248603 −0.124301 0.992245i \(-0.539669\pi\)
−0.124301 + 0.992245i \(0.539669\pi\)
\(548\) 2.03969 0.546533i 0.0871311 0.0233467i
\(549\) −1.94658 + 1.58256i −0.0830780 + 0.0675419i
\(550\) 4.74659 2.74045i 0.202395 0.116853i
\(551\) 63.6811 17.0633i 2.71291 0.726921i
\(552\) 10.3381 0.823689i 0.440017 0.0350585i
\(553\) 1.50557 4.14753i 0.0640235 0.176371i
\(554\) 8.64864 8.64864i 0.367446 0.367446i
\(555\) −15.8366 44.5841i −0.672227 1.89249i
\(556\) 25.3129 14.6144i 1.07350 0.619788i
\(557\) −22.3726 5.99473i −0.947959 0.254005i −0.248463 0.968641i \(-0.579926\pi\)
−0.699496 + 0.714636i \(0.746592\pi\)
\(558\) 0.727670 + 0.277712i 0.0308047 + 0.0117565i
\(559\) 4.99785 5.94688i 0.211386 0.251526i
\(560\) 1.18413 13.6690i 0.0500388 0.577620i
\(561\) 12.7334 1.01454i 0.537604 0.0428338i
\(562\) 5.90192 10.2224i 0.248958 0.431207i
\(563\) −12.0866 20.9346i −0.509390 0.882289i −0.999941 0.0108767i \(-0.996538\pi\)
0.490551 0.871413i \(-0.336796\pi\)
\(564\) −4.49657 + 3.09681i −0.189340 + 0.130399i
\(565\) 1.43130 + 5.34168i 0.0602152 + 0.224726i
\(566\) 1.47197 1.47197i 0.0618717 0.0618717i
\(567\) −20.2529 12.5228i −0.850542 0.525908i
\(568\) −6.35822 −0.266785
\(569\) −13.0759 + 22.6482i −0.548172 + 0.949462i 0.450228 + 0.892914i \(0.351343\pi\)
−0.998400 + 0.0565482i \(0.981991\pi\)
\(570\) 21.3244 14.6862i 0.893180 0.615139i
\(571\) 7.70168 4.44657i 0.322305 0.186083i −0.330114 0.943941i \(-0.607087\pi\)
0.652420 + 0.757858i \(0.273754\pi\)
\(572\) 9.59189 + 4.48178i 0.401057 + 0.187393i
\(573\) −27.4381 + 32.1890i −1.14625 + 1.34471i
\(574\) 16.5731 + 6.01612i 0.691749 + 0.251108i
\(575\) 11.8628i 0.494711i
\(576\) −0.353895 + 0.927288i −0.0147456 + 0.0386370i
\(577\) 2.19601 + 0.588419i 0.0914211 + 0.0244962i 0.304240 0.952596i \(-0.401598\pi\)
−0.212819 + 0.977092i \(0.568264\pi\)
\(578\) 0.196998 0.735205i 0.00819402 0.0305805i
\(579\) 9.61163 + 4.57310i 0.399446 + 0.190052i
\(580\) 30.5313 + 30.5313i 1.26774 + 1.26774i
\(581\) −31.4730 21.9977i −1.30572 0.912616i
\(582\) −7.69125 6.55609i −0.318813 0.271759i
\(583\) −3.02864 + 0.811523i −0.125434 + 0.0336098i
\(584\) 1.08045 + 1.87140i 0.0447094 + 0.0774389i
\(585\) −23.2861 24.0574i −0.962763 0.994651i
\(586\) −9.28085 + 16.0749i −0.383388 + 0.664048i
\(587\) 10.1027 + 10.1027i 0.416982 + 0.416982i 0.884162 0.467180i \(-0.154730\pi\)
−0.467180 + 0.884162i \(0.654730\pi\)
\(588\) 12.2529 + 14.7832i 0.505299 + 0.609649i
\(589\) 3.01161i 0.124091i
\(590\) 14.4186 3.86345i 0.593604 0.159056i
\(591\) 18.0597 12.4378i 0.742877 0.511624i
\(592\) −3.82656 + 14.2809i −0.157270 + 0.586941i
\(593\) 6.27010 + 23.4003i 0.257482 + 0.960936i 0.966693 + 0.255940i \(0.0823848\pi\)
−0.709211 + 0.704997i \(0.750948\pi\)
\(594\) −3.23276 + 5.30992i −0.132642 + 0.217869i
\(595\) 26.6988 + 18.6608i 1.09454 + 0.765017i
\(596\) 0.877563 0.877563i 0.0359464 0.0359464i
\(597\) 2.13553 + 6.01205i 0.0874013 + 0.246057i
\(598\) −4.93737 + 3.45151i −0.201904 + 0.141143i
\(599\) 28.2976 16.3376i 1.15621 0.667537i 0.205815 0.978591i \(-0.434015\pi\)
0.950392 + 0.311054i \(0.100682\pi\)
\(600\) 16.5683 + 7.88302i 0.676399 + 0.321823i
\(601\) −8.90763 −0.363350 −0.181675 0.983359i \(-0.558152\pi\)
−0.181675 + 0.983359i \(0.558152\pi\)
\(602\) −1.55724 3.33210i −0.0634685 0.135806i
\(603\) 8.41099 + 6.08611i 0.342522 + 0.247846i
\(604\) 4.43889 + 16.5662i 0.180616 + 0.674068i
\(605\) 22.6097 + 6.05824i 0.919213 + 0.246302i
\(606\) −9.27888 + 6.39042i −0.376929 + 0.259593i
\(607\) −21.9203 + 37.9672i −0.889719 + 1.54104i −0.0495124 + 0.998774i \(0.515767\pi\)
−0.840207 + 0.542266i \(0.817567\pi\)
\(608\) −42.7055 −1.73194
\(609\) −40.3632 0.278758i −1.63560 0.0112958i
\(610\) 1.67017i 0.0676234i
\(611\) 3.03801 6.50194i 0.122905 0.263040i
\(612\) 11.9207 + 14.6627i 0.481865 + 0.592704i
\(613\) −1.95045 0.522621i −0.0787778 0.0211084i 0.219215 0.975677i \(-0.429650\pi\)
−0.297993 + 0.954568i \(0.596317\pi\)
\(614\) 3.23062 + 1.86520i 0.130377 + 0.0752733i
\(615\) 35.9201 42.1395i 1.44844 1.69923i
\(616\) 8.68340 7.29887i 0.349864 0.294080i
\(617\) −10.5691 10.5691i −0.425497 0.425497i 0.461594 0.887091i \(-0.347278\pi\)
−0.887091 + 0.461594i \(0.847278\pi\)
\(618\) 7.19882 15.1303i 0.289579 0.608630i
\(619\) −1.33324 + 4.97571i −0.0535873 + 0.199991i −0.987530 0.157433i \(-0.949678\pi\)
0.933942 + 0.357424i \(0.116345\pi\)
\(620\) −1.70814 + 0.986194i −0.0686005 + 0.0396065i
\(621\) 6.45451 + 11.8059i 0.259010 + 0.473753i
\(622\) 11.4026 + 11.4026i 0.457205 + 0.457205i
\(623\) 1.43088 + 3.06171i 0.0573269 + 0.122665i
\(624\) 1.72882 + 10.3186i 0.0692083 + 0.413075i
\(625\) −13.4593 + 23.3121i −0.538371 + 0.932485i
\(626\) −2.36670 + 8.83264i −0.0945924 + 0.353023i
\(627\) −23.6393 4.35762i −0.944061 0.174027i
\(628\) 18.1399 + 10.4731i 0.723861 + 0.417921i
\(629\) −24.8202 24.8202i −0.989645 0.989645i
\(630\) −14.9745 + 5.20289i −0.596599 + 0.207288i
\(631\) −18.2907 18.2907i −0.728142 0.728142i 0.242107 0.970249i \(-0.422161\pi\)
−0.970249 + 0.242107i \(0.922161\pi\)
\(632\) −0.998079 3.72488i −0.0397014 0.148168i
\(633\) 5.67146 30.7666i 0.225420 1.22286i
\(634\) −8.76693 + 5.06159i −0.348179 + 0.201021i
\(635\) −3.96210 14.7868i −0.157231 0.586794i
\(636\) −3.53007 3.00906i −0.139976 0.119317i
\(637\) −23.7248 8.61003i −0.940012 0.341142i
\(638\) 10.5380i 0.417202i
\(639\) −3.36980 7.52945i −0.133307 0.297860i
\(640\) −17.3306 30.0174i −0.685051 1.18654i
\(641\) 7.18186 + 12.4393i 0.283666 + 0.491324i 0.972285 0.233799i \(-0.0751159\pi\)
−0.688619 + 0.725124i \(0.741783\pi\)
\(642\) 0.0818438 0.172017i 0.00323012 0.00678898i
\(643\) 10.6874 10.6874i 0.421470 0.421470i −0.464240 0.885710i \(-0.653672\pi\)
0.885710 + 0.464240i \(0.153672\pi\)
\(644\) −1.89314 10.6832i −0.0746002 0.420979i
\(645\) −11.5144 + 0.917415i −0.453380 + 0.0361232i
\(646\) 9.60460 16.6357i 0.377888 0.654521i
\(647\) −15.0168 26.0099i −0.590371 1.02255i −0.994182 0.107711i \(-0.965648\pi\)
0.403811 0.914842i \(-0.367685\pi\)
\(648\) −20.7780 + 1.16958i −0.816238 + 0.0459456i
\(649\) −12.0013 6.92894i −0.471091 0.271985i
\(650\) −10.6181 + 0.920710i −0.416476 + 0.0361132i
\(651\) 0.489515 1.77769i 0.0191856 0.0696734i
\(652\) −4.95223 + 4.95223i −0.193944 + 0.193944i
\(653\) 3.48004 + 2.00920i 0.136185 + 0.0786262i 0.566544 0.824031i \(-0.308280\pi\)
−0.430360 + 0.902657i \(0.641613\pi\)
\(654\) −2.94975 + 16.0018i −0.115344 + 0.625721i
\(655\) 47.5129 + 12.7310i 1.85648 + 0.497443i
\(656\) −16.7131 + 4.47827i −0.652539 + 0.174847i
\(657\) −1.64349 + 2.27130i −0.0641187 + 0.0886119i
\(658\) −2.18641 2.60115i −0.0852350 0.101403i
\(659\) 30.4547i 1.18635i −0.805075 0.593173i \(-0.797875\pi\)
0.805075 0.593173i \(-0.202125\pi\)
\(660\) −5.26944 14.8348i −0.205112 0.577444i
\(661\) −0.115054 + 0.429388i −0.00447509 + 0.0167013i −0.968127 0.250459i \(-0.919419\pi\)
0.963652 + 0.267160i \(0.0860852\pi\)
\(662\) −3.15923 5.47194i −0.122787 0.212673i
\(663\) −23.2681 8.69437i −0.903657 0.337661i
\(664\) −33.5594 −1.30236
\(665\) −39.4410 46.9226i −1.52946 1.81958i
\(666\) 16.8671 2.70495i 0.653586 0.104815i
\(667\) 19.7525 + 11.4041i 0.764819 + 0.441569i
\(668\) 8.70816 32.4993i 0.336929 1.25743i
\(669\) 3.86645 + 5.61407i 0.149485 + 0.217052i
\(670\) 6.67627 1.78890i 0.257927 0.0691113i
\(671\) 1.09639 1.09639i 0.0423257 0.0423257i
\(672\) 25.2082 + 6.94147i 0.972429 + 0.267773i
\(673\) 49.0345i 1.89014i 0.326866 + 0.945071i \(0.394007\pi\)
−0.326866 + 0.945071i \(0.605993\pi\)
\(674\) −1.82644 6.81637i −0.0703518 0.262557i
\(675\) −0.554058 + 23.7983i −0.0213257 + 0.915996i
\(676\) −13.2091 15.7915i −0.508044 0.607364i
\(677\) −20.3423 11.7447i −0.781820 0.451384i 0.0552549 0.998472i \(-0.482403\pi\)
−0.837075 + 0.547088i \(0.815736\pi\)
\(678\) −1.99036 + 0.158582i −0.0764392 + 0.00609032i
\(679\) −13.7064 + 19.6103i −0.526002 + 0.752574i
\(680\) 28.4687 1.09172
\(681\) 16.9932 + 8.08516i 0.651180 + 0.309824i
\(682\) −0.464978 0.124591i −0.0178049 0.00477082i
\(683\) −7.09210 1.90032i −0.271372 0.0727138i 0.120567 0.992705i \(-0.461529\pi\)
−0.391939 + 0.919991i \(0.628195\pi\)
\(684\) −14.5265 32.4579i −0.555434 1.24106i
\(685\) 4.12731 0.157696
\(686\) −8.42828 + 8.47152i −0.321793 + 0.323444i
\(687\) 0.367995 + 4.61869i 0.0140399 + 0.176214i
\(688\) 3.12591 + 1.80474i 0.119174 + 0.0688052i
\(689\) 6.00370 + 1.06339i 0.228723 + 0.0405120i
\(690\) 8.80928 + 1.62389i 0.335363 + 0.0618204i
\(691\) 4.10075 + 15.3042i 0.156000 + 0.582199i 0.999018 + 0.0443135i \(0.0141101\pi\)
−0.843018 + 0.537885i \(0.819223\pi\)
\(692\) 2.26656i 0.0861618i
\(693\) 13.2455 + 6.41461i 0.503155 + 0.243671i
\(694\) 4.32753 4.32753i 0.164271 0.164271i
\(695\) 55.1825 14.7861i 2.09319 0.560869i
\(696\) −29.0536 + 20.0094i −1.10128 + 0.758455i
\(697\) 10.6321 39.6795i 0.402719 1.50297i
\(698\) −13.1710 7.60430i −0.498531 0.287827i
\(699\) −20.2007 17.2192i −0.764059 0.651291i
\(700\) 6.54977 18.0432i 0.247558 0.681970i
\(701\) 13.6578 0.515848 0.257924 0.966165i \(-0.416962\pi\)
0.257924 + 0.966165i \(0.416962\pi\)
\(702\) 10.0662 6.69359i 0.379926 0.252633i
\(703\) 33.0264 + 57.2034i 1.24561 + 2.15747i
\(704\) 0.158769 0.592534i 0.00598383 0.0223320i
\(705\) −10.0559 + 3.57193i −0.378727 + 0.134527i
\(706\) 16.1041i 0.606086i
\(707\) 17.1620 + 20.4174i 0.645442 + 0.767877i
\(708\) −1.62825 20.4361i −0.0611934 0.768035i
\(709\) −23.9449 + 6.41601i −0.899269 + 0.240958i −0.678702 0.734413i \(-0.737457\pi\)
−0.220567 + 0.975372i \(0.570791\pi\)
\(710\) −5.30471 1.42139i −0.199082 0.0533440i
\(711\) 3.88206 3.15609i 0.145589 0.118362i
\(712\) 2.55794 + 1.47683i 0.0958629 + 0.0553465i
\(713\) −0.736729 + 0.736729i −0.0275907 + 0.0275907i
\(714\) −8.37342 + 8.25855i −0.313367 + 0.309069i
\(715\) 15.8418 + 13.3137i 0.592449 + 0.497903i
\(716\) −4.09531 2.36443i −0.153049 0.0883628i
\(717\) −2.52772 + 1.74086i −0.0943995 + 0.0650135i
\(718\) 10.9261 + 18.9246i 0.407760 + 0.706261i
\(719\) 9.18898 15.9158i 0.342691 0.593559i −0.642240 0.766503i \(-0.721995\pi\)
0.984932 + 0.172945i \(0.0553282\pi\)
\(720\) 9.11993 12.6037i 0.339880 0.469713i
\(721\) −37.2861 13.5350i −1.38861 0.504071i
\(722\) −16.8915 + 16.8915i −0.628636 + 0.628636i
\(723\) −22.1674 10.5470i −0.824413 0.392246i
\(724\) 0.110534 + 0.191451i 0.00410797 + 0.00711521i
\(725\) 20.1761 + 34.9461i 0.749322 + 1.29786i
\(726\) −3.63098 + 7.63150i −0.134758 + 0.283232i
\(727\) 30.4911i 1.13085i 0.824798 + 0.565427i \(0.191289\pi\)
−0.824798 + 0.565427i \(0.808711\pi\)
\(728\) −21.3061 + 5.71081i −0.789656 + 0.211657i
\(729\) −12.3972 23.9856i −0.459155 0.888356i
\(730\) 0.483075 + 1.80286i 0.0178794 + 0.0667268i
\(731\) −7.42137 + 4.28473i −0.274489 + 0.158476i
\(732\) 2.25579 + 0.415829i 0.0833764 + 0.0153695i
\(733\) −7.64628 28.5363i −0.282422 1.05401i −0.950703 0.310104i \(-0.899636\pi\)
0.668281 0.743909i \(-0.267030\pi\)
\(734\) −7.29668 7.29668i −0.269325 0.269325i
\(735\) 15.6543 + 34.1084i 0.577419 + 1.25811i
\(736\) −10.4470 10.4470i −0.385083 0.385083i
\(737\) −5.55698 3.20832i −0.204694 0.118180i
\(738\) 12.6114 + 15.5123i 0.464233 + 0.571017i
\(739\) 11.5871 43.2438i 0.426240 1.59075i −0.334961 0.942232i \(-0.608723\pi\)
0.761201 0.648516i \(-0.224610\pi\)
\(740\) −21.6299 + 37.4642i −0.795133 + 1.37721i
\(741\) 38.0591 + 27.1361i 1.39814 + 0.996868i
\(742\) 1.65381 2.36618i 0.0607134 0.0868654i
\(743\) −6.98891 6.98891i −0.256398 0.256398i 0.567189 0.823588i \(-0.308031\pi\)
−0.823588 + 0.567189i \(0.808031\pi\)
\(744\) −0.539396 1.51854i −0.0197752 0.0556722i
\(745\) 2.10073 1.21286i 0.0769649 0.0444357i
\(746\) 1.31151 4.89463i 0.0480179 0.179205i
\(747\) −17.7862 39.7413i −0.650762 1.45406i
\(748\) −8.25860 8.25860i −0.301964 0.301964i
\(749\) −0.423908 0.153881i −0.0154893 0.00562267i
\(750\) −1.10251 0.939791i −0.0402580 0.0343163i
\(751\) 14.1897 + 8.19245i 0.517791 + 0.298947i 0.736030 0.676948i \(-0.236698\pi\)
−0.218239 + 0.975895i \(0.570031\pi\)
\(752\) 3.22104 + 0.863075i 0.117459 + 0.0314731i
\(753\) −2.12166 + 11.5096i −0.0773175 + 0.419432i
\(754\) 8.67452 18.5652i 0.315907 0.676103i
\(755\) 33.5216i 1.21998i
\(756\) 3.29892 + 21.5204i 0.119981 + 0.782690i
\(757\) −3.07677 −0.111827 −0.0559136 0.998436i \(-0.517807\pi\)
−0.0559136 + 0.998436i \(0.517807\pi\)
\(758\) 7.30500 12.6526i 0.265329 0.459564i
\(759\) −4.71686 6.84887i −0.171211 0.248598i
\(760\) −51.7467 13.8655i −1.87705 0.502954i
\(761\) 12.7389 + 47.5421i 0.461783 + 1.72340i 0.667340 + 0.744754i \(0.267433\pi\)
−0.205556 + 0.978645i \(0.565900\pi\)
\(762\) 5.50968 0.438985i 0.199595 0.0159028i
\(763\) 38.3769 + 3.32456i 1.38934 + 0.120357i
\(764\) 38.6728 1.39913
\(765\) 15.0882 + 33.7128i 0.545513 + 1.21889i
\(766\) −5.46203 + 3.15350i −0.197351 + 0.113941i
\(767\) 15.4394 + 22.0861i 0.557486 + 0.797481i
\(768\) 12.8726 4.57246i 0.464501 0.164994i
\(769\) 21.6214 21.6214i 0.779689 0.779689i −0.200089 0.979778i \(-0.564123\pi\)
0.979778 + 0.200089i \(0.0641231\pi\)
\(770\) 8.87631 4.14831i 0.319880 0.149495i
\(771\) −5.94075 5.06394i −0.213951 0.182373i
\(772\) −2.51888 9.40059i −0.0906565 0.338335i