Properties

Label 273.2.cd.e.44.12
Level $273$
Weight $2$
Character 273.44
Analytic conductor $2.180$
Analytic rank $0$
Dimension $112$
CM no
Inner twists $8$

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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 44.12
Character \(\chi\) \(=\) 273.44
Dual form 273.2.cd.e.242.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.623254 + 0.167000i) q^{2} +(-1.63214 - 0.579750i) q^{3} +(-1.37149 + 0.791833i) q^{4} +(2.98988 - 0.801137i) q^{5} +(1.11406 + 0.0887629i) q^{6} +(-2.60516 + 0.461652i) q^{7} +(1.63506 - 1.63506i) q^{8} +(2.32778 + 1.89247i) q^{9} +O(q^{10})\) \(q+(-0.623254 + 0.167000i) q^{2} +(-1.63214 - 0.579750i) q^{3} +(-1.37149 + 0.791833i) q^{4} +(2.98988 - 0.801137i) q^{5} +(1.11406 + 0.0887629i) q^{6} +(-2.60516 + 0.461652i) q^{7} +(1.63506 - 1.63506i) q^{8} +(2.32778 + 1.89247i) q^{9} +(-1.72966 + 0.998622i) q^{10} +(-1.79099 - 0.479894i) q^{11} +(2.69754 - 0.497260i) q^{12} +(-2.76022 - 2.31973i) q^{13} +(1.54658 - 0.722789i) q^{14} +(-5.34437 - 0.425815i) q^{15} +(0.837665 - 1.45088i) q^{16} +(-1.98874 - 3.44460i) q^{17} +(-1.76684 - 0.790748i) q^{18} +(-1.93721 - 7.22976i) q^{19} +(-3.46624 + 3.46624i) q^{20} +(4.51964 + 0.756861i) q^{21} +1.19638 q^{22} +(-1.29472 + 2.24251i) q^{23} +(-3.61658 + 1.72072i) 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} +(3.40201 - 0.627121i) q^{30} +(-0.388653 - 0.104139i) q^{31} +(-1.47673 + 5.51122i) q^{32} +(2.64493 + 1.82158i) 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} +(3.16021 + 5.38638i) q^{39} +(3.57873 - 6.19854i) q^{40} +(7.30296 + 7.30296i) q^{41} +(-2.94328 + 0.283065i) q^{42} +2.15449i q^{43} +(2.83633 - 0.759992i) q^{44} +(8.47592 + 3.79339i) 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} +(1.24890 + 6.77505i) q^{51} +(5.62247 + 0.995867i) q^{52} +(1.46449 - 0.845522i) q^{53} +(2.42530 + 2.31494i) q^{54} -5.73931 q^{55} +(-3.50477 + 5.01443i) q^{56} +(-1.02965 + 12.9231i) q^{57} +(1.47097 + 5.48974i) q^{58} +(7.21924 + 1.93439i) q^{59} +(7.66696 - 3.64785i) q^{60} +(0.418120 - 0.724204i) q^{61} +0.259621 q^{62} +(-6.93791 - 3.85557i) q^{63} -0.330842i q^{64} +(-10.1112 - 4.72442i) q^{65} +(-1.95267 - 0.693603i) 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} +(6.90036 - 0.711759i) q^{72} +(0.241870 - 0.902673i) q^{73} +(4.93132 - 2.84710i) q^{74} +(-7.80343 + 1.43847i) q^{75} +(8.38163 + 8.38163i) q^{76} +(4.88737 + 0.423389i) q^{77} +(-2.86914 - 2.82932i) q^{78} +(-0.833854 + 1.44428i) q^{79} +(1.34217 - 5.00904i) q^{80} +(1.83712 + 8.81050i) q^{81} +(-5.77120 - 3.33200i) q^{82} +(-10.2624 - 10.2624i) q^{83} +(-6.79797 + 2.54077i) q^{84} +(-8.70570 - 8.70570i) q^{85} +(-0.359801 - 1.34279i) q^{86} +(-5.10655 + 14.3762i) 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} +(0.573963 + 0.395292i) q^{93} +(0.642160 + 1.11225i) q^{94} +(-11.5840 - 20.0642i) q^{95} +(5.60536 - 8.13897i) q^{96} +(6.39435 - 6.39435i) q^{97} +(-3.69542 + 2.59697i) q^{98} +(-3.26085 - 4.50648i) 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 −0.472348 0.881412i \(-0.656593\pi\)
0.0316410 + 0.999499i \(0.489927\pi\)
\(3\) −1.63214 0.579750i −0.942318 0.334719i
\(4\) −1.37149 + 0.791833i −0.685747 + 0.395916i
\(5\) 2.98988 0.801137i 1.33712 0.358279i 0.481753 0.876307i \(-0.340000\pi\)
0.855364 + 0.518028i \(0.173334\pi\)
\(6\) 1.11406 + 0.0887629i 0.454812 + 0.0362373i
\(7\) −2.60516 + 0.461652i −0.984659 + 0.174488i
\(8\) 1.63506 1.63506i 0.578081 0.578081i
\(9\) 2.32778 + 1.89247i 0.775927 + 0.630823i
\(10\) −1.72966 + 0.998622i −0.546968 + 0.315792i
\(11\) −1.79099 0.479894i −0.540004 0.144694i −0.0214999 0.999769i \(-0.506844\pi\)
−0.518504 + 0.855075i \(0.673511\pi\)
\(12\) 2.69754 0.497260i 0.778713 0.143547i
\(13\) −2.76022 2.31973i −0.765548 0.643378i
\(14\) 1.54658 0.722789i 0.413341 0.193174i
\(15\) −5.34437 0.425815i −1.37991 0.109945i
\(16\) 0.837665 1.45088i 0.209416 0.362720i
\(17\) −1.98874 3.44460i −0.482341 0.835439i 0.517454 0.855711i \(-0.326880\pi\)
−0.999794 + 0.0202725i \(0.993547\pi\)
\(18\) −1.76684 0.790748i −0.416448 0.186381i
\(19\) −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
\(21\) 4.51964 + 0.756861i 0.986267 + 0.165161i
\(22\) 1.19638 0.255070
\(23\) −1.29472 + 2.24251i −0.269967 + 0.467596i −0.968853 0.247637i \(-0.920346\pi\)
0.698886 + 0.715233i \(0.253679\pi\)
\(24\) −3.61658 + 1.72072i −0.738230 + 0.351241i
\(25\) 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 \(-0.695182\pi\)
0.575474 0.817820i \(-0.304818\pi\)
\(30\) 3.40201 0.627121i 0.621119 0.114496i
\(31\) −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
\(33\) 2.64493 + 1.82158i 0.460424 + 0.317097i
\(34\) 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
\(39\) 3.16021 + 5.38638i 0.506039 + 0.862510i
\(40\) 3.57873 6.19854i 0.565847 0.980075i
\(41\) 7.30296 + 7.30296i 1.14053 + 1.14053i 0.988353 + 0.152178i \(0.0486288\pi\)
0.152178 + 0.988353i \(0.451371\pi\)
\(42\) −2.94328 + 0.283065i −0.454158 + 0.0436779i
\(43\) 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
\(45\) 8.47592 + 3.79339i 1.26351 + 0.565485i
\(46\) 0.432436 1.61387i 0.0637592 0.237953i
\(47\) −0.515167 1.92263i −0.0751449 0.280445i 0.918121 0.396300i \(-0.129706\pi\)
−0.993266 + 0.115855i \(0.963039\pi\)
\(48\) −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
\(51\) 1.24890 + 6.77505i 0.174881 + 0.948697i
\(52\) 5.62247 + 0.995867i 0.779697 + 0.138102i
\(53\) 1.46449 0.845522i 0.201163 0.116141i −0.396035 0.918235i \(-0.629614\pi\)
0.597198 + 0.802094i \(0.296281\pi\)
\(54\) 2.42530 + 2.31494i 0.330041 + 0.315023i
\(55\) −5.73931 −0.773889
\(56\) −3.50477 + 5.01443i −0.468344 + 0.670081i
\(57\) −1.02965 + 12.9231i −0.136381 + 1.71171i
\(58\) 1.47097 + 5.48974i 0.193148 + 0.720838i
\(59\) 7.21924 + 1.93439i 0.939865 + 0.251836i 0.696056 0.717987i \(-0.254936\pi\)
0.243809 + 0.969823i \(0.421603\pi\)
\(60\) 7.66696 3.64785i 0.989800 0.470935i
\(61\) 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
\(63\) −6.93791 3.85557i −0.874095 0.485756i
\(64\) 0.330842i 0.0413552i
\(65\) −10.1112 4.72442i −1.25414 0.585992i
\(66\) −1.95267 0.693603i −0.240357 0.0853766i
\(67\) −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 0.582255 0.813006i \(-0.302170\pi\)
−0.813006 + 0.582255i \(0.802170\pi\)
\(72\) 6.90036 0.711759i 0.813215 0.0838816i
\(73\) 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
\(75\) −7.80343 + 1.43847i −0.901062 + 0.166100i
\(76\) 8.38163 + 8.38163i 0.961439 + 0.961439i
\(77\) 4.88737 + 0.423389i 0.556967 + 0.0482496i
\(78\) −2.86914 2.82932i −0.324866 0.320358i
\(79\) −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
\(81\) 1.83712 + 8.81050i 0.204124 + 0.978945i
\(82\) −5.77120 3.33200i −0.637322 0.367958i
\(83\) −10.2624 10.2624i −1.12645 1.12645i −0.990750 0.135699i \(-0.956672\pi\)
−0.135699 0.990750i \(-0.543328\pi\)
\(84\) −6.79797 + 2.54077i −0.741720 + 0.277221i
\(85\) −8.70570 8.70570i −0.944266 0.944266i
\(86\) −0.359801 1.34279i −0.0387983 0.144797i
\(87\) −5.10655 + 14.3762i −0.547479 + 1.54129i
\(88\) −3.71303 + 2.14372i −0.395810 + 0.228521i
\(89\) 0.330604 + 1.23383i 0.0350439 + 0.130786i 0.981232 0.192832i \(-0.0617674\pi\)
−0.946188 + 0.323618i \(0.895101\pi\)
\(90\) −5.91614 0.948764i −0.623616 0.100009i
\(91\) 8.26174 + 4.76902i 0.866066 + 0.499929i
\(92\) 4.10079i 0.427537i
\(93\) 0.573963 + 0.395292i 0.0595172 + 0.0409899i
\(94\) 0.642160 + 1.11225i 0.0662337 + 0.114720i
\(95\) −11.5840 20.0642i −1.18850 2.05854i
\(96\) 5.60536 8.13897i 0.572095 0.830680i
\(97\) 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
\(99\) −3.26085 4.50648i −0.327727 0.452919i
\(100\) −3.62756 + 6.28312i −0.362756 + 0.628312i
\(101\) 5.04057 + 8.73052i 0.501555 + 0.868719i 0.999998 + 0.00179663i \(0.000571885\pi\)
−0.498443 + 0.866922i \(0.666095\pi\)
\(102\) −1.90982 4.01401i −0.189100 0.397446i
\(103\) 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
\(105\) 14.1195 1.35792i 1.37793 0.132520i
\(106\) −0.771545 + 0.771545i −0.0749390 + 0.0749390i
\(107\) −0.147616 0.0852260i −0.0142706 0.00823911i 0.492848 0.870116i \(-0.335956\pi\)
−0.507118 + 0.861876i \(0.669289\pi\)
\(108\) 7.22033 + 3.94750i 0.694777 + 0.379848i
\(109\) −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
\(111\) 15.2369 + 1.21401i 1.44623 + 0.115229i
\(112\) −1.51245 + 4.16648i −0.142913 + 0.393696i
\(113\) 1.78658i 0.168068i 0.996463 + 0.0840339i \(0.0267804\pi\)
−0.996463 + 0.0840339i \(0.973220\pi\)
\(114\) −1.51643 8.22632i −0.142026 0.770465i
\(115\) −2.07449 + 7.74210i −0.193447 + 0.721954i
\(116\) 6.97462 + 12.0804i 0.647577 + 1.12164i
\(117\) −2.03517 10.6235i −0.188151 0.982140i
\(118\) −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
\(123\) −7.68559 16.1534i −0.692986 1.45650i
\(124\) 0.615497 0.164922i 0.0552733 0.0148104i
\(125\) −0.916606 + 0.916606i −0.0819837 + 0.0819837i
\(126\) 4.96796 + 1.24436i 0.442581 + 0.110857i
\(127\) 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
\(129\) 1.24907 3.51644i 0.109974 0.309605i
\(130\) 7.09080 + 1.25594i 0.621904 + 0.110153i
\(131\) 13.7622 + 7.94561i 1.20241 + 0.694211i 0.961090 0.276235i \(-0.0890869\pi\)
0.241318 + 0.970446i \(0.422420\pi\)
\(132\) −5.06990 0.403946i −0.441278 0.0351590i
\(133\) 8.38438 + 17.9404i 0.727018 + 1.55563i
\(134\) 2.23295 0.192898
\(135\) −11.6347 11.1053i −1.00135 0.955789i
\(136\) −8.88384 2.38042i −0.761783 0.204119i
\(137\) 1.28795 + 0.345106i 0.110037 + 0.0294844i 0.313417 0.949615i \(-0.398526\pi\)
−0.203380 + 0.979100i \(0.565193\pi\)
\(138\) −1.64144 + 2.38337i −0.139729 + 0.202886i
\(139\) −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
\(141\) −0.273818 + 3.43668i −0.0230597 + 0.289420i
\(142\) 1.53652 + 0.887111i 0.128942 + 0.0744447i
\(143\) 3.83031 + 5.47924i 0.320306 + 0.458197i
\(144\) 4.69564 1.79207i 0.391303 0.149339i
\(145\) −7.05656 26.3355i −0.586016 2.18704i
\(146\) 0.602987i 0.0499035i
\(147\) −12.1238 + 0.114755i −0.999955 + 0.00946487i
\(148\) 9.88235 9.88235i 0.812324 0.812324i
\(149\) 0.756961 0.202827i 0.0620126 0.0166162i −0.227679 0.973736i \(-0.573114\pi\)
0.289692 + 0.957120i \(0.406447\pi\)
\(150\) 4.62329 2.19971i 0.377490 0.179605i
\(151\) 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
\(156\) −8.59933 4.88503i −0.688497 0.391115i
\(157\) −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
\(159\) −2.88044 + 0.530977i −0.228434 + 0.0421092i
\(160\) 17.6610i 1.39622i
\(161\) 2.33769 6.43982i 0.184235 0.507529i
\(162\) −2.61635 5.18438i −0.205560 0.407323i
\(163\) 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
\(165\) 9.36738 + 3.32737i 0.729249 + 0.259035i
\(166\) 8.10993 + 4.68227i 0.629453 + 0.363415i
\(167\) 15.0228 15.0228i 1.16250 1.16250i 0.178574 0.983927i \(-0.442852\pi\)
0.983927 0.178574i \(-0.0571484\pi\)
\(168\) 8.62739 6.15237i 0.665618 0.474666i
\(169\) 2.23767 + 12.8060i 0.172128 + 0.985075i
\(170\) 6.87971 + 3.97200i 0.527650 + 0.304639i
\(171\) 9.17270 20.4954i 0.701454 1.56732i
\(172\) −1.70600 2.95488i −0.130081 0.225307i
\(173\) −0.715607 + 1.23947i −0.0544066 + 0.0942349i −0.891946 0.452142i \(-0.850660\pi\)
0.837539 + 0.546377i \(0.183993\pi\)
\(174\) 0.781840 9.81283i 0.0592712 0.743909i
\(175\) −9.27840 + 7.79899i −0.701381 + 0.589549i
\(176\) −2.19652 + 2.19652i −0.165569 + 0.165569i
\(177\) −10.6614 7.34255i −0.801357 0.551900i
\(178\) −0.412100 0.713778i −0.0308882 0.0534999i
\(179\) −1.49301 2.58597i −0.111593 0.193284i 0.804820 0.593519i \(-0.202262\pi\)
−0.916413 + 0.400235i \(0.868929\pi\)
\(180\) −14.6284 + 1.50889i −1.09034 + 0.112466i
\(181\) 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
\(186\) −0.423738 0.150515i −0.0310700 0.0110363i
\(187\) 1.90877 + 7.12363i 0.139583 + 0.520932i
\(188\) 2.22895 + 2.22895i 0.162563 + 0.162563i
\(189\) 9.08840 + 10.3151i 0.661084 + 0.750312i
\(190\) 10.5705 + 10.5705i 0.766866 + 0.766866i
\(191\) 21.1482 + 12.2099i 1.53023 + 0.883478i 0.999351 + 0.0360289i \(0.0114708\pi\)
0.530877 + 0.847449i \(0.321862\pi\)
\(192\) −0.191805 + 0.539981i −0.0138424 + 0.0389698i
\(193\) −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
\(195\) 13.7639 + 13.5729i 0.985653 + 0.971973i
\(196\) −7.11123 + 8.50425i −0.507945 + 0.607447i
\(197\) −8.95222 8.95222i −0.637819 0.637819i 0.312198 0.950017i \(-0.398935\pi\)
−0.950017 + 0.312198i \(0.898935\pi\)
\(198\) 2.78492 + 2.26412i 0.197915 + 0.160904i
\(199\) −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
\(201\) 4.93656 + 3.39984i 0.348198 + 0.239806i
\(202\) −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
\(207\) −7.25770 + 2.76987i −0.504445 + 0.192519i
\(208\) −5.67779 + 2.06159i −0.393684 + 0.142945i
\(209\) 13.8781i 0.959967i
\(210\) −8.57328 + 3.20430i −0.591613 + 0.221118i
\(211\) 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
\(213\) 2.04621 + 4.30067i 0.140204 + 0.294677i
\(214\) 0.106235 + 0.0284655i 0.00726206 + 0.00194586i
\(215\) 1.72604 + 6.44168i 0.117715 + 0.439319i
\(216\) −11.6750 2.83879i −0.794384 0.193155i
\(217\) 1.06058 + 0.0918774i 0.0719970 + 0.00623704i
\(218\) 9.39431 0.636263
\(219\) −0.918092 + 1.33307i −0.0620389 + 0.0900803i
\(220\) 7.87144 4.54458i 0.530692 0.306395i
\(221\) −2.50119 + 14.1212i −0.168248 + 0.949896i
\(222\) −9.69922 + 1.78794i −0.650969 + 0.119999i
\(223\) −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 \(-0.799251\pi\)
0.994273 0.106869i \(-0.0340826\pi\)
\(228\) −8.82077 18.5393i −0.584170 1.22779i
\(229\) −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
\(231\) −7.73142 3.52448i −0.508690 0.231894i
\(232\) −14.4019 14.4019i −0.945532 0.945532i
\(233\) −7.66251 + 13.2719i −0.501988 + 0.869468i 0.498010 + 0.867171i \(0.334064\pi\)
−0.999997 + 0.00229662i \(0.999269\pi\)
\(234\) 3.04255 + 6.28124i 0.198898 + 0.410618i
\(235\) −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 0.746469 0.665420i \(-0.231747\pi\)
−0.665420 + 0.746469i \(0.731747\pi\)
\(240\) −5.09460 + 7.39735i −0.328855 + 0.477497i
\(241\) 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
\(243\) 2.10945 15.4451i 0.135321 0.990802i
\(244\) 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
\(249\) 10.8001 + 22.6994i 0.684430 + 1.43852i
\(250\) 0.418204 0.724351i 0.0264496 0.0458120i
\(251\) 6.75701 0.426499 0.213249 0.976998i \(-0.431595\pi\)
0.213249 + 0.976998i \(0.431595\pi\)
\(252\) 12.5683 0.205775i 0.791727 0.0129626i
\(253\) 3.39499 3.39499i 0.213441 0.213441i
\(254\) −0.825916 3.08236i −0.0518226 0.193405i
\(255\) 9.16182 + 19.2561i 0.573735 + 1.20586i
\(256\) 3.94347 + 6.83029i 0.246467 + 0.426893i
\(257\) −2.25344 + 3.90308i −0.140566 + 0.243467i −0.927710 0.373302i \(-0.878225\pi\)
0.787144 + 0.616769i \(0.211559\pi\)
\(258\) −0.191239 + 2.40023i −0.0119060 + 0.149432i
\(259\) 21.1526 9.88558i 1.31436 0.614260i
\(260\) 17.6084 1.52684i 1.09202 0.0946909i
\(261\) 16.6692 20.5035i 1.03180 1.26914i
\(262\) −9.90425 2.65384i −0.611887 0.163955i
\(263\) −19.3371 + 11.1643i −1.19237 + 0.688418i −0.958844 0.283932i \(-0.908361\pi\)
−0.233530 + 0.972350i \(0.575028\pi\)
\(264\) 7.30302 1.34623i 0.449470 0.0828545i
\(265\) 3.70127 3.70127i 0.227367 0.227367i
\(266\) −8.22164 9.78121i −0.504101 0.599725i
\(267\) 0.175720 2.20545i 0.0107539 0.134972i
\(268\) 5.29378 1.41847i 0.323369 0.0866466i
\(269\) 5.45550 3.14973i 0.332628 0.192043i −0.324380 0.945927i \(-0.605155\pi\)
0.657007 + 0.753884i \(0.271822\pi\)
\(270\) 9.10594 + 4.97840i 0.554170 + 0.302976i
\(271\) 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
\(273\) −10.7195 12.5735i −0.648774 0.760981i
\(274\) −0.860354 −0.0519759
\(275\) −8.20492 + 2.19850i −0.494775 + 0.132575i
\(276\) −2.37744 + 6.69308i −0.143105 + 0.402876i
\(277\) 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
\(279\) −0.707619 0.977928i −0.0423640 0.0585470i
\(280\) −6.46161 + 17.8003i −0.386155 + 1.06377i
\(281\) −12.9356 + 12.9356i −0.771675 + 0.771675i −0.978399 0.206724i \(-0.933720\pi\)
0.206724 + 0.978399i \(0.433720\pi\)
\(282\) −0.403268 2.18765i −0.0240142 0.130273i
\(283\) 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
\(285\) 7.27463 + 39.4634i 0.430912 + 2.33761i
\(286\) −3.30229 2.77529i −0.195268 0.164106i
\(287\) −22.3968 15.6540i −1.32204 0.924026i
\(288\) −13.8673 + 10.0342i −0.817139 + 0.591274i
\(289\) 0.589812 1.02158i 0.0346948 0.0600932i
\(290\) 8.79606 + 15.2352i 0.516522 + 0.894643i
\(291\) −14.1436 + 6.72937i −0.829113 + 0.394483i
\(292\) 0.383042 + 1.42953i 0.0224158 + 0.0836571i
\(293\) 20.3414 20.3414i 1.18836 1.18836i 0.210839 0.977521i \(-0.432381\pi\)
0.977521 0.210839i \(-0.0676194\pi\)
\(294\) 7.53704 2.09620i 0.439569 0.122253i
\(295\) 23.1344 1.34694
\(296\) −10.2030 + 17.6722i −0.593040 + 1.02718i
\(297\) 2.70953 + 9.24570i 0.157223 + 0.536490i
\(298\) −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
\(303\) −3.16541 17.1717i −0.181848 0.986489i
\(304\) −12.1122 3.24546i −0.694684 0.186140i
\(305\) 0.669942 2.50026i 0.0383608 0.143164i
\(306\) 0.789976 + 7.65865i 0.0451599 + 0.437816i
\(307\) 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 \(-0.916002\pi\)
0.256802 0.966464i \(-0.417331\pi\)
\(312\) 13.9742 + 3.63991i 0.791132 + 0.206069i
\(313\) −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
\(315\) −23.8324 5.96948i −1.34280 0.336342i
\(316\) 2.64109i 0.148573i
\(317\) 15.1544 4.06062i 0.851158 0.228067i 0.193235 0.981152i \(-0.438102\pi\)
0.657923 + 0.753085i \(0.271435\pi\)
\(318\) 1.70657 0.811968i 0.0956999 0.0455329i
\(319\) −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
\(324\) −9.49605 10.6289i −0.527558 0.590493i
\(325\) −16.2647 2.88084i −0.902201 0.159800i
\(326\) −2.47118 + 1.42674i −0.136866 + 0.0790196i
\(327\) 20.7687 + 14.3035i 1.14851 + 0.790988i
\(328\) 23.8816 1.31864
\(329\) 2.22968 + 4.77094i 0.122926 + 0.263030i
\(330\) −6.39392 0.509438i −0.351974 0.0280436i
\(331\) −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
\(333\) −24.1651 10.8151i −1.32424 0.592661i
\(334\) −6.85421 + 11.8718i −0.375046 + 0.649598i
\(335\) −10.7120 −0.585257
\(336\) 4.88406 5.92345i 0.266447 0.323151i
\(337\) 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
\(339\) 1.03577 2.91596i 0.0562554 0.158373i
\(340\) 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
\(345\) 7.87434 11.4335i 0.423940 0.615560i
\(346\) 0.239013 0.892009i 0.0128494 0.0479547i
\(347\) −8.21419 + 4.74247i −0.440961 + 0.254589i −0.704005 0.710195i \(-0.748607\pi\)
0.263044 + 0.964784i \(0.415273\pi\)
\(348\) −4.37996 23.7605i −0.234791 1.27369i
\(349\) −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
\(351\) −2.83727 + 18.5189i −0.151442 + 0.988466i
\(352\) 5.28961 9.16187i 0.281937 0.488329i
\(353\) 6.45969 24.1079i 0.343815 1.28313i −0.550176 0.835049i \(-0.685439\pi\)
0.893991 0.448085i \(-0.147894\pi\)
\(354\) 7.87094 + 2.79582i 0.418336 + 0.148596i
\(355\) −7.37102 4.25566i −0.391213 0.225867i
\(356\) −1.43041 1.43041i −0.0758115 0.0758115i
\(357\) −6.38132 17.0736i −0.337735 0.903629i
\(358\) 1.36238 + 1.36238i 0.0720040 + 0.0720040i
\(359\) −8.76540 32.7129i −0.462620 1.72652i −0.664661 0.747145i \(-0.731424\pi\)
0.202041 0.979377i \(-0.435243\pi\)
\(360\) 20.0610 7.65621i 1.05731 0.403517i
\(361\) −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
\(366\) 0.530092 0.769692i 0.0277083 0.0402324i
\(367\) −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
\(369\) 3.17906 + 30.8203i 0.165495 + 1.60444i
\(370\) 12.4632 12.4632i 0.647928 0.647928i
\(371\) −3.42489 + 2.87881i −0.177812 + 0.149460i
\(372\) −1.10019 0.0876582i −0.0570423 0.00454487i
\(373\) 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
\(375\) 2.02743 0.964629i 0.104696 0.0498132i
\(376\) −3.98594 2.30129i −0.205559 0.118680i
\(377\) −20.4327 + 24.3126i −1.05234 + 1.25216i
\(378\) −7.38700 4.91115i −0.379946 0.252602i
\(379\) 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
\(381\) 2.86721 8.07192i 0.146892 0.413537i
\(382\) −15.2197 4.07811i −0.778709 0.208654i
\(383\) 9.44161 2.52987i 0.482444 0.129270i −0.00939643 0.999956i \(-0.502991\pi\)
0.491840 + 0.870685i \(0.336324\pi\)
\(384\) −1.54043 + 19.3339i −0.0786099 + 0.986628i
\(385\) 14.9518 2.64957i 0.762017 0.135034i
\(386\) 3.96523i 0.201825i
\(387\) −4.07731 + 5.01518i −0.207261 + 0.254936i
\(388\) −3.70656 + 13.8331i −0.188172 + 0.702268i
\(389\) 11.6099 + 20.1089i 0.588645 + 1.01956i 0.994410 + 0.105585i \(0.0336717\pi\)
−0.405765 + 0.913977i \(0.632995\pi\)
\(390\) −10.8451 6.16077i −0.549161 0.311962i
\(391\) 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
\(396\) 8.04062 + 3.59857i 0.404056 + 0.180835i
\(397\) −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
\(399\) −3.28356 34.1421i −0.164384 1.70924i
\(400\) 7.67505i 0.383753i
\(401\) 1.66353 + 6.20836i 0.0830725 + 0.310031i 0.994942 0.100449i \(-0.0320279\pi\)
−0.911870 + 0.410480i \(0.865361\pi\)
\(402\) −3.64450 1.29456i −0.181771 0.0645665i
\(403\) 0.831194 + 1.18902i 0.0414047 + 0.0592293i
\(404\) −13.8262 7.98257i −0.687880 0.397148i
\(405\) 12.5512 + 24.8706i 0.623674 + 1.23583i
\(406\) −6.36647 13.6226i −0.315962 0.676077i
\(407\) 16.3629 0.811080
\(408\) 13.1196 + 9.03559i 0.649519 + 0.447328i
\(409\) 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
\(411\) −1.90205 1.30995i −0.0938211 0.0646152i
\(412\) −23.7433 −1.16975
\(413\) −19.7003 1.70662i −0.969389 0.0839774i
\(414\) 4.06082 2.93837i 0.199578 0.144413i
\(415\) −38.9051 22.4619i −1.90978 1.10261i
\(416\) 16.8607 11.7866i 0.826662 0.577885i
\(417\) 30.1235 + 10.7001i 1.47515 + 0.523986i
\(418\) −2.31764 8.64956i −0.113360 0.423064i
\(419\) 30.1187i 1.47140i −0.677310 0.735698i \(-0.736854\pi\)
0.677310 0.735698i \(-0.263146\pi\)
\(420\) −18.2896 + 13.0427i −0.892443 + 0.636419i
\(421\) 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
\(423\) 2.43932 5.45040i 0.118604 0.265008i
\(424\) 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
\(429\) −3.07502 11.1635i −0.148463 0.538980i
\(430\) −2.15152 3.72655i −0.103756 0.179710i
\(431\) 4.94565 18.4574i 0.238224 0.889063i −0.738445 0.674313i \(-0.764440\pi\)
0.976669 0.214750i \(-0.0688936\pi\)
\(432\) −8.70291 + 0.202617i −0.418719 + 0.00974839i
\(433\) 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
\(435\) −3.75066 + 47.0743i −0.179830 + 2.25704i
\(436\) 22.2716 5.96766i 1.06662 0.285799i
\(437\) 18.7210 + 5.01627i 0.895545 + 0.239961i
\(438\) 0.349581 0.984160i 0.0167036 0.0470250i
\(439\) 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
\(441\) 19.8543 + 6.84148i 0.945444 + 0.325785i
\(442\) −0.799375 9.21880i −0.0380224 0.438494i
\(443\) 6.08649 + 3.51404i 0.289178 + 0.166957i 0.637571 0.770392i \(-0.279939\pi\)
−0.348393 + 0.937349i \(0.613273\pi\)
\(444\) −21.8587 + 10.4001i −1.03737 + 0.493567i
\(445\) 1.97693 + 3.42415i 0.0937156 + 0.162320i
\(446\) 1.26971 2.19920i 0.0601224 0.104135i
\(447\) −1.35306 0.107805i −0.0639974 0.00509901i
\(448\) 0.152734 + 0.861896i 0.00721599 + 0.0407208i
\(449\) −0.494694 + 0.494694i −0.0233460 + 0.0233460i −0.718683 0.695337i \(-0.755255\pi\)
0.695337 + 0.718683i \(0.255255\pi\)
\(450\) −8.82115 + 0.909885i −0.415833 + 0.0428924i
\(451\) −9.57489 16.5842i −0.450864 0.780919i
\(452\) −1.41468 2.45029i −0.0665408 0.115252i
\(453\) −10.6393 + 15.4483i −0.499879 + 0.725823i
\(454\) 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
\(459\) −9.91441 + 18.1343i −0.462765 + 0.846439i
\(460\) −3.28530 12.2609i −0.153178 0.571667i
\(461\) 28.9822 + 28.9822i 1.34984 + 1.34984i 0.885833 + 0.464005i \(0.153588\pi\)
0.464005 + 0.885833i \(0.346412\pi\)
\(462\) 5.40722 + 0.905496i 0.251567 + 0.0421275i
\(463\) −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
\(465\) 2.03276 + 0.722054i 0.0942672 + 0.0334844i
\(466\) 2.55928 9.55137i 0.118556 0.442459i
\(467\) 10.6300 18.4117i 0.491896 0.851990i −0.508060 0.861322i \(-0.669637\pi\)
0.999956 + 0.00933199i \(0.00297051\pi\)
\(468\) 11.2032 + 12.9585i 0.517870 + 0.599008i
\(469\) 9.12188 + 0.790222i 0.421209 + 0.0364890i
\(470\) 2.81105 + 2.81105i 0.129664 + 0.129664i
\(471\) 4.15299 + 22.5292i 0.191360 + 1.03809i
\(472\) 14.9667 8.64104i 0.688899 0.397736i
\(473\) 1.03393 3.85867i 0.0475401 0.177422i
\(474\) −1.05716 + 1.53499i −0.0485569 + 0.0705045i
\(475\) −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 −0.348413 0.937341i \(-0.613279\pi\)
−0.770405 + 0.637555i \(0.779946\pi\)
\(480\) 10.2389 28.8252i 0.467342 1.31568i
\(481\) 28.8272 + 13.4694i 1.31441 + 0.614153i
\(482\) 9.14505i 0.416546i
\(483\) −7.54892 + 9.15544i −0.343488 + 0.416587i
\(484\) 11.9758 0.544353
\(485\) 13.9956 24.2411i 0.635508 1.10073i
\(486\) 1.26461 + 9.97847i 0.0573639 + 0.452633i
\(487\) 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
\(489\) −7.63553 0.608363i −0.345290 0.0275111i
\(490\) −8.96835 + 10.7252i −0.405149 + 0.484514i
\(491\) 26.0161 1.17409 0.587045 0.809554i \(-0.300291\pi\)
0.587045 + 0.809554i \(0.300291\pi\)
\(492\) 23.3315 + 16.0686i 1.05187 + 0.724427i
\(493\) −30.3407 + 17.5172i −1.36648 + 0.788936i
\(494\) 3.03696 17.1461i 0.136639 0.771439i
\(495\) −13.3599 10.8615i −0.600481 0.488187i
\(496\) −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
\(501\) −33.2289 + 15.8099i −1.48456 + 0.706334i
\(502\) −4.21133 + 1.12842i −0.187961 + 0.0503640i
\(503\) 2.48652i 0.110868i −0.998462 0.0554342i \(-0.982346\pi\)
0.998462 0.0554342i \(-0.0176543\pi\)
\(504\) −17.6480 + 5.03981i −0.786103 + 0.224491i
\(505\) 22.0650 + 22.0650i 0.981881 + 0.981881i
\(506\) −1.54898 + 2.68291i −0.0688604 + 0.119270i
\(507\) 3.77206 22.1985i 0.167523 0.985868i
\(508\) −3.91609 6.78286i −0.173748 0.300941i
\(509\) −35.4437 + 9.49712i −1.57102 + 0.420953i −0.936130 0.351653i \(-0.885620\pi\)
−0.634886 + 0.772606i \(0.718953\pi\)
\(510\) −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
\(513\) −26.8534 + 28.1335i −1.18560 + 1.24213i
\(514\) 0.752651 2.80893i 0.0331980 0.123897i
\(515\) 44.8262 + 12.0111i 1.97528 + 0.529274i
\(516\) 1.07134 + 5.81183i 0.0471633 + 0.255852i
\(517\) 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 −0.189283 0.981922i \(-0.560616\pi\)
0.755728 + 0.654886i \(0.227283\pi\)
\(522\) −6.96506 + 15.5627i −0.304852 + 0.681159i
\(523\) 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
\(525\) 19.6651 7.34992i 0.858257 0.320777i
\(526\) 10.1875 10.1875i 0.444194 0.444194i
\(527\) 0.414212 + 1.54586i 0.0180434 + 0.0673388i
\(528\) 4.85846 2.31160i 0.211437 0.100599i
\(529\) 8.14742 + 14.1117i 0.354236 + 0.613554i
\(530\) −1.68872 + 2.92494i −0.0733531 + 0.127051i
\(531\) 13.1440 + 18.1650i 0.570402 + 0.788294i
\(532\) −25.7049 17.9661i −1.11445 0.778930i
\(533\) −3.21688 37.0987i −0.139339 1.60693i
\(534\) 0.258793 + 1.40390i 0.0111991 + 0.0607528i
\(535\) −0.509632 0.136555i −0.0220333 0.00590380i
\(536\) −6.93008 + 4.00108i −0.299334 + 0.172820i
\(537\) 0.937589 + 5.08624i 0.0404600 + 0.219487i
\(538\) −2.87415 + 2.87415i −0.123913 + 0.123913i
\(539\) −12.9278 + 1.15327i −0.556842 + 0.0496747i
\(540\) 24.7504 + 6.01809i 1.06509 + 0.258977i
\(541\) −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
\(543\) −0.0809289 + 0.227835i −0.00347299 + 0.00977735i
\(544\) 21.9208 5.87366i 0.939846 0.251831i
\(545\) −45.0666 −1.93044
\(546\) 8.78074 + 6.04630i 0.375781 + 0.258758i
\(547\) −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
\(549\) 2.34382 0.894510i 0.100032 0.0381768i
\(550\) 4.74659 2.74045i 0.202395 0.116853i
\(551\) −63.6811 + 17.0633i −2.71291 + 0.726921i
\(552\) 0.823689 10.3381i 0.0350585 0.440017i
\(553\) 1.50557 4.14753i 0.0640235 0.176371i
\(554\) −8.64864 + 8.64864i −0.367446 + 0.367446i
\(555\) 46.5293 8.57713i 1.97506 0.364079i
\(556\) 25.3129 14.6144i 1.07350 0.619788i
\(557\) 22.3726 + 5.99473i 0.947959 + 0.254005i 0.699496 0.714636i \(-0.253408\pi\)
0.248463 + 0.968641i \(0.420074\pi\)
\(558\) 0.604340 + 0.491324i 0.0255838 + 0.0207994i
\(559\) 4.99785 5.94688i 0.211386 0.251526i
\(560\) −1.18413 + 13.6690i −0.0500388 + 0.577620i
\(561\) 1.01454 12.7334i 0.0428338 0.537604i
\(562\) 5.90192 10.2224i 0.248958 0.431207i
\(563\) 12.0866 + 20.9346i 0.509390 + 0.882289i 0.999941 + 0.0108767i \(0.00346222\pi\)
−0.490551 + 0.871413i \(0.663204\pi\)
\(564\) −2.34573 4.93020i −0.0987732 0.207599i
\(565\) 1.43130 + 5.34168i 0.0602152 + 0.224726i
\(566\) −1.47197 + 1.47197i −0.0618717 + 0.0618717i
\(567\) −8.85339 22.1047i −0.371807 0.928310i
\(568\) −6.35822 −0.266785
\(569\) 13.0759 22.6482i 0.548172 0.949462i −0.450228 0.892914i \(-0.648657\pi\)
0.998400 0.0565482i \(-0.0180095\pi\)
\(570\) −11.1243 23.3809i −0.465947 0.979316i
\(571\) 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
\(576\) 0.626108 0.770126i 0.0260878 0.0320886i
\(577\) 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
\(579\) 6.03736 8.76623i 0.250904 0.364312i
\(580\) 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
\(585\) −14.5958 30.1325i −0.603461 1.24582i
\(586\) −9.28085 + 16.0749i −0.383388 + 0.664048i
\(587\) −10.1027 10.1027i −0.416982 0.416982i 0.467180 0.884162i \(-0.345270\pi\)
−0.884162 + 0.467180i \(0.845270\pi\)
\(588\) 16.5369 9.75742i 0.681969 0.402389i
\(589\) 3.01161i 0.124091i
\(590\) −14.4186 + 3.86345i −0.593604 + 0.159056i
\(591\) 9.42125 + 19.8013i 0.387538 + 0.814518i
\(592\) −3.82656 + 14.2809i −0.157270 + 0.586941i
\(593\) −6.27010 23.4003i −0.257482 0.960936i −0.966693 0.255940i \(-0.917615\pi\)
0.709211 0.704997i \(-0.249052\pi\)
\(594\) −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
\(597\) 6.27435 1.15660i 0.256792 0.0473366i
\(598\) −4.93737 + 3.45151i −0.201904 + 0.141143i
\(599\) −28.2976 + 16.3376i −1.15621 + 0.667537i −0.950392 0.311054i \(-0.899318\pi\)
−0.205815 + 0.978591i \(0.565985\pi\)
\(600\) −10.4071 + 15.1111i −0.424867 + 0.616906i
\(601\) −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
\(603\) −6.08611 8.41099i −0.247846 0.342522i
\(604\) 4.43889 + 16.5662i 0.180616 + 0.674068i
\(605\) −22.6097 6.05824i −0.919213 0.246302i
\(606\) 4.84053 + 10.1737i 0.196633 + 0.413279i
\(607\) −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
\(609\) 6.66658 39.8099i 0.270143 1.61318i
\(610\) 1.67017i 0.0676234i
\(611\) −3.03801 + 6.50194i −0.122905 + 0.263040i
\(612\) 6.73793 + 17.6550i 0.272365 + 0.713659i
\(613\) −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 0.887091 0.461594i \(-0.152722\pi\)
−0.461594 + 0.887091i \(0.652722\pi\)
\(618\) 13.7995 + 9.50382i 0.555098 + 0.382300i
\(619\) −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
\(621\) 13.4514 0.313169i 0.539788 0.0125670i
\(622\) 11.4026 + 11.4026i 0.457205 + 0.457205i
\(623\) −1.43088 3.06171i −0.0573269 0.122665i
\(624\) 10.4622 0.0731068i 0.418822 0.00292661i
\(625\) −13.4593 + 23.3121i −0.538371 + 0.932485i
\(626\) 2.36670 8.83264i 0.0945924 0.353023i
\(627\) 8.04582 22.6510i 0.321319 0.904594i
\(628\) 18.1399 + 10.4731i 0.723861 + 0.417921i
\(629\) 24.8202 + 24.8202i 0.989645 + 0.989645i
\(630\) 15.8505 0.259514i 0.631500 0.0103393i
\(631\) −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
\(633\) −29.4804 10.4717i −1.17174 0.416211i
\(634\) −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
\(639\) −0.846392 8.20559i −0.0334827 0.324608i
\(640\) −17.3306 30.0174i −0.685051 1.18654i
\(641\) −7.18186 12.4393i −0.283666 0.491324i 0.688619 0.725124i \(-0.258217\pi\)
−0.972285 + 0.233799i \(0.924884\pi\)
\(642\) −0.156887 0.108049i −0.00619186 0.00426437i
\(643\) 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
\(645\) 0.917415 11.5144i 0.0361232 0.453380i
\(646\) 9.60460 16.6357i 0.377888 0.654521i
\(647\) 15.0168 + 26.0099i 0.590371 + 1.02255i 0.994182 + 0.107711i \(0.0343521\pi\)
−0.403811 + 0.914842i \(0.632315\pi\)
\(648\) 17.4095 + 11.4019i 0.683910 + 0.447909i
\(649\) −12.0013 6.92894i −0.471091 0.271985i
\(650\) 10.6181 0.920710i 0.416476 0.0361132i
\(651\) −1.67775 0.764829i −0.0657564 0.0299760i
\(652\) −4.95223 + 4.95223i −0.193944 + 0.193944i
\(653\) −3.48004 2.00920i −0.136185 0.0786262i 0.430360 0.902657i \(-0.358387\pi\)
−0.566544 + 0.824031i \(0.691720\pi\)
\(654\) −15.3329 5.44635i −0.599562 0.212969i
\(655\) 47.5129 + 12.7310i 1.85648 + 0.497443i
\(656\) 16.7131 4.47827i 0.652539 0.174847i
\(657\) 2.27130 1.64349i 0.0886119 0.0641187i
\(658\) −2.18641 2.60115i −0.0852350 0.101403i
\(659\) 30.4547i 1.18635i 0.805075 + 0.593173i \(0.202125\pi\)
−0.805075 + 0.593173i \(0.797875\pi\)
\(660\) −15.4820 + 2.85393i −0.602637 + 0.111089i
\(661\) −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
\(663\) 12.2691 21.5978i 0.476491 0.838789i
\(664\) −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
\(669\) 6.15547 2.92870i 0.237984 0.113230i
\(670\) 6.67627 1.78890i 0.257927 0.0691113i
\(671\) −1.09639 + 1.09639i −0.0423257 + 0.0423257i
\(672\) −10.8455 + 23.7911i −0.418374 + 0.917760i
\(673\) 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
\(675\) −20.8869 11.4193i −0.803938 0.439529i
\(676\) −13.2091 15.7915i −0.508044 0.607364i
\(677\) 20.3423 + 11.7447i 0.781820 + 0.451384i 0.837075 0.547088i \(-0.184264\pi\)
−0.0552549 + 0.998472i \(0.517597\pi\)
\(678\) −0.158582 + 1.99036i −0.00609032 + 0.0764392i
\(679\) −13.7064 + 19.6103i −0.526002 + 0.752574i
\(680\) −28.4687 −1.09172
\(681\) −10.6740 + 15.4986i −0.409027 + 0.593906i
\(682\) −0.464978 0.124591i −0.0178049 0.00477082i
\(683\) 7.09210 + 1.90032i 0.271372 + 0.0727138i 0.391939 0.919991i \(-0.371805\pi\)
−0.120567 + 0.992705i \(0.538471\pi\)
\(684\) 3.64861 + 35.3726i 0.139508 + 1.35250i
\(685\) 4.12731 0.157696
\(686\) 8.42828 8.47152i 0.321793 0.323444i
\(687\) 4.61869 + 0.367995i 0.176214 + 0.0140399i
\(688\) 3.12591 + 1.80474i 0.119174 + 0.0688052i
\(689\) −6.00370 1.06339i −0.228723 0.0405120i
\(690\) −2.99831 + 8.44100i −0.114144 + 0.321343i
\(691\) 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
\(693\) 10.5755 + 10.2347i 0.401729 + 0.388786i
\(694\) 4.32753 4.32753i 0.164271 0.164271i
\(695\) −55.1825 + 14.7861i −2.09319 + 0.560869i
\(696\) 15.1565 + 31.8555i 0.574505 + 1.20748i
\(697\) 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 \(-0.583038\pi\)
−0.257924 + 0.966165i \(0.583038\pi\)
\(702\) −1.32432 12.0158i −0.0499834 0.453507i
\(703\) 33.0264 + 57.2034i 1.24561 + 2.15747i
\(704\) −0.158769 + 0.592534i −0.00598383 + 0.0223320i
\(705\) 1.93456 + 10.4946i 0.0728598 + 0.395250i
\(706\) 16.1041i 0.606086i
\(707\) −17.1620 20.4174i −0.645442 0.767877i
\(708\) 20.4361 + 1.62825i 0.768035 + 0.0611934i
\(709\) −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
\(711\) −4.67428 + 1.78392i −0.175299 + 0.0669021i
\(712\) 2.55794 + 1.47683i 0.0958629 + 0.0553465i
\(713\) 0.736729 0.736729i 0.0275907 0.0275907i
\(714\) 6.82847 + 9.57548i 0.255549 + 0.358353i
\(715\) 15.8418 + 13.3137i 0.592449 + 0.497903i
\(716\) 4.09531 + 2.36443i 0.153049 + 0.0883628i
\(717\) −1.31864 2.77149i −0.0492456 0.103503i
\(718\) 10.9261 + 18.9246i 0.407760 + 0.706261i
\(719\) −9.18898 + 15.9158i −0.342691 + 0.593559i −0.984932 0.172945i \(-0.944672\pi\)
0.642240 + 0.766503i \(0.278005\pi\)
\(720\) 12.6037 9.11993i 0.469713 0.339880i
\(721\) −37.2861 13.5350i −1.38861 0.504071i
\(722\) 16.8915 16.8915i 0.628636 0.628636i
\(723\) −13.9240 + 20.2176i −0.517840 + 0.751902i
\(724\) 0.110534 + 0.191451i 0.00410797 + 0.00711521i
\(725\) −20.1761 34.9461i −0.749322 1.29786i
\(726\) −6.96027 4.79358i −0.258320 0.177907i
\(727\) 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
\(732\) 0.767776 2.16149i 0.0283778 0.0798908i
\(733\) −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
\(735\) −36.1568 + 10.0559i −1.33367 + 0.370919i
\(736\) −10.4470 10.4470i −0.385083 0.385083i
\(737\) 5.55698 + 3.20832i 0.204694 + 0.118180i
\(738\) −7.12836 18.6780i −0.262399 0.687546i
\(739\) 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
\(741\) 32.8202 33.2821i 1.20568 1.22265i
\(742\) 1.65381 2.36618i 0.0607134 0.0868654i
\(743\) 6.98891 + 6.98891i 0.256398 + 0.256398i 0.823588 0.567189i \(-0.191969\pi\)
−0.567189 + 0.823588i \(0.691969\pi\)
\(744\) 1.58479 0.292138i 0.0581012 0.0107103i
\(745\) 2.10073 1.21286i 0.0769649 0.0444357i
\(746\) −1.31151 + 4.89463i −0.0480179 + 0.179205i
\(747\) −4.46735 43.3100i −0.163452 1.58463i
\(748\) −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
\(753\) −11.0284 3.91738i −0.401898 0.142757i
\(754\) 8.67452 18.5652i 0.315907 0.676103i
\(755\) 33.5216i 1.21998i
\(756\) −20.6325 6.95060i −0.750397 0.252791i
\(757\) −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
\(759\) −7.50936 + 3.57287i −0.272573 + 0.129687i
\(760\) −51.7467 13.8655i −1.87705 0.502954i
\(761\) −12.7389 47.5421i −0.461783 1.72340i −0.667340 0.744754i \(-0.732567\pi\)
0.205556 0.978645i \(-0.434100\pi\)
\(762\) −0.438985 + 5.50968i −0.0159028 + 0.199595i
\(763\) 38.3769 + 3.32456i 1.38934 + 0.120357i
\(764\) −38.6728 −1.39913
\(765\) −3.78969 36.7402i −0.137016 1.32835i
\(766\) −5.46203 + 3.15350i −0.197351 + 0.113941i
\(767\) −15.4394 22.0861i −0.557486 0.797481i
\(768\) −2.47645 13.4342i −0.0893611 0.484767i
\(769\) 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