Properties

Label 546.2.bi.f.17.7
Level $546$
Weight $2$
Character 546.17
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bi (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 17.7
Character \(\chi\) \(=\) 546.17
Dual form 546.2.bi.f.257.7

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000 q^{2} +(0.166804 + 1.72400i) q^{3} +1.00000 q^{4} +(1.41302 - 0.815806i) q^{5} +(0.166804 + 1.72400i) q^{6} +(2.62951 + 0.292738i) q^{7} +1.00000 q^{8} +(-2.94435 + 0.575141i) q^{9} +O(q^{10})\) \(q+1.00000 q^{2} +(0.166804 + 1.72400i) q^{3} +1.00000 q^{4} +(1.41302 - 0.815806i) q^{5} +(0.166804 + 1.72400i) q^{6} +(2.62951 + 0.292738i) q^{7} +1.00000 q^{8} +(-2.94435 + 0.575141i) q^{9} +(1.41302 - 0.815806i) q^{10} +(1.03538 + 1.79334i) q^{11} +(0.166804 + 1.72400i) q^{12} +(-3.37445 - 1.27006i) q^{13} +(2.62951 + 0.292738i) q^{14} +(1.64215 + 2.29996i) q^{15} +1.00000 q^{16} +3.05447 q^{17} +(-2.94435 + 0.575141i) q^{18} +(0.662420 - 1.14734i) q^{19} +(1.41302 - 0.815806i) q^{20} +(-0.0660664 + 4.58210i) q^{21} +(1.03538 + 1.79334i) q^{22} -6.10879i q^{23} +(0.166804 + 1.72400i) q^{24} +(-1.16892 + 2.02463i) q^{25} +(-3.37445 - 1.27006i) q^{26} +(-1.48267 - 4.98013i) q^{27} +(2.62951 + 0.292738i) q^{28} +(-2.79123 - 1.61152i) q^{29} +(1.64215 + 2.29996i) q^{30} +(-3.28416 + 5.68833i) q^{31} +1.00000 q^{32} +(-2.91901 + 2.08414i) q^{33} +3.05447 q^{34} +(3.95436 - 1.73152i) q^{35} +(-2.94435 + 0.575141i) q^{36} +7.93783i q^{37} +(0.662420 - 1.14734i) q^{38} +(1.62671 - 6.02941i) q^{39} +(1.41302 - 0.815806i) q^{40} +(-7.41619 - 4.28174i) q^{41} +(-0.0660664 + 4.58210i) q^{42} +(2.69662 + 4.67069i) q^{43} +(1.03538 + 1.79334i) q^{44} +(-3.69122 + 3.21471i) q^{45} -6.10879i q^{46} +(0.714173 - 0.412328i) q^{47} +(0.166804 + 1.72400i) q^{48} +(6.82861 + 1.53951i) q^{49} +(-1.16892 + 2.02463i) q^{50} +(0.509499 + 5.26590i) q^{51} +(-3.37445 - 1.27006i) q^{52} +(9.25742 + 5.34477i) q^{53} +(-1.48267 - 4.98013i) q^{54} +(2.92603 + 1.68934i) q^{55} +(2.62951 + 0.292738i) q^{56} +(2.08852 + 0.950630i) q^{57} +(-2.79123 - 1.61152i) q^{58} -13.5971i q^{59} +(1.64215 + 2.29996i) q^{60} +(-13.4689 - 7.77625i) q^{61} +(-3.28416 + 5.68833i) q^{62} +(-7.91056 + 0.650416i) q^{63} +1.00000 q^{64} +(-5.80429 + 0.958282i) q^{65} +(-2.91901 + 2.08414i) q^{66} +(-2.83485 + 1.63670i) q^{67} +3.05447 q^{68} +(10.5316 - 1.01897i) q^{69} +(3.95436 - 1.73152i) q^{70} +(-4.59225 - 7.95402i) q^{71} +(-2.94435 + 0.575141i) q^{72} +(1.43611 - 2.48741i) q^{73} +7.93783i q^{74} +(-3.68544 - 1.67750i) q^{75} +(0.662420 - 1.14734i) q^{76} +(2.19757 + 5.01869i) q^{77} +(1.62671 - 6.02941i) q^{78} +(-3.24657 - 5.62322i) q^{79} +(1.41302 - 0.815806i) q^{80} +(8.33842 - 3.38684i) q^{81} +(-7.41619 - 4.28174i) q^{82} -6.85946i q^{83} +(-0.0660664 + 4.58210i) q^{84} +(4.31602 - 2.49186i) q^{85} +(2.69662 + 4.67069i) q^{86} +(2.31267 - 5.08089i) q^{87} +(1.03538 + 1.79334i) q^{88} -1.07299i q^{89} +(-3.69122 + 3.21471i) q^{90} +(-8.50136 - 4.32746i) q^{91} -6.10879i q^{92} +(-10.3545 - 4.71305i) q^{93} +(0.714173 - 0.412328i) q^{94} -2.16163i q^{95} +(0.166804 + 1.72400i) q^{96} +(-4.58560 - 7.94250i) q^{97} +(6.82861 + 1.53951i) q^{98} +(-4.07996 - 4.68472i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q + 34q^{2} + 6q^{3} + 34q^{4} + 9q^{5} + 6q^{6} + 4q^{7} + 34q^{8} + 4q^{9} + O(q^{10}) \) \( 34q + 34q^{2} + 6q^{3} + 34q^{4} + 9q^{5} + 6q^{6} + 4q^{7} + 34q^{8} + 4q^{9} + 9q^{10} + 9q^{11} + 6q^{12} + 8q^{13} + 4q^{14} - 17q^{15} + 34q^{16} + 12q^{17} + 4q^{18} - 5q^{19} + 9q^{20} - 7q^{21} + 9q^{22} + 6q^{24} + 16q^{25} + 8q^{26} - 18q^{27} + 4q^{28} + 27q^{29} - 17q^{30} - q^{31} + 34q^{32} + 12q^{34} - 3q^{35} + 4q^{36} - 5q^{38} - 10q^{39} + 9q^{40} - 3q^{41} - 7q^{42} - 3q^{43} + 9q^{44} + 9q^{45} - 27q^{47} + 6q^{48} - 2q^{49} + 16q^{50} - 36q^{51} + 8q^{52} - 21q^{53} - 18q^{54} - 57q^{55} + 4q^{56} - 17q^{57} + 27q^{58} - 17q^{60} - 51q^{61} - q^{62} - 24q^{63} + 34q^{64} - 21q^{65} - 21q^{67} + 12q^{68} + 30q^{69} - 3q^{70} - 15q^{71} + 4q^{72} - 19q^{73} - 54q^{75} - 5q^{76} + 9q^{77} - 10q^{78} - 9q^{79} + 9q^{80} + 28q^{81} - 3q^{82} - 7q^{84} - 42q^{85} - 3q^{86} - 81q^{87} + 9q^{88} + 9q^{90} - 72q^{91} - 17q^{93} - 27q^{94} + 6q^{96} + 19q^{97} - 2q^{98} - 27q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000 0.707107
\(3\) 0.166804 + 1.72400i 0.0963045 + 0.995352i
\(4\) 1.00000 0.500000
\(5\) 1.41302 0.815806i 0.631921 0.364840i −0.149575 0.988750i \(-0.547790\pi\)
0.781496 + 0.623911i \(0.214457\pi\)
\(6\) 0.166804 + 1.72400i 0.0680976 + 0.703820i
\(7\) 2.62951 + 0.292738i 0.993860 + 0.110644i
\(8\) 1.00000 0.353553
\(9\) −2.94435 + 0.575141i −0.981451 + 0.191714i
\(10\) 1.41302 0.815806i 0.446836 0.257981i
\(11\) 1.03538 + 1.79334i 0.312180 + 0.540711i 0.978834 0.204656i \(-0.0656075\pi\)
−0.666654 + 0.745367i \(0.732274\pi\)
\(12\) 0.166804 + 1.72400i 0.0481523 + 0.497676i
\(13\) −3.37445 1.27006i −0.935905 0.352252i
\(14\) 2.62951 + 0.292738i 0.702765 + 0.0782374i
\(15\) 1.64215 + 2.29996i 0.424001 + 0.593848i
\(16\) 1.00000 0.250000
\(17\) 3.05447 0.740818 0.370409 0.928869i \(-0.379218\pi\)
0.370409 + 0.928869i \(0.379218\pi\)
\(18\) −2.94435 + 0.575141i −0.693991 + 0.135562i
\(19\) 0.662420 1.14734i 0.151970 0.263219i −0.779982 0.625802i \(-0.784772\pi\)
0.931951 + 0.362583i \(0.118105\pi\)
\(20\) 1.41302 0.815806i 0.315960 0.182420i
\(21\) −0.0660664 + 4.58210i −0.0144169 + 0.999896i
\(22\) 1.03538 + 1.79334i 0.220744 + 0.382341i
\(23\) 6.10879i 1.27377i −0.770958 0.636886i \(-0.780222\pi\)
0.770958 0.636886i \(-0.219778\pi\)
\(24\) 0.166804 + 1.72400i 0.0340488 + 0.351910i
\(25\) −1.16892 + 2.02463i −0.233784 + 0.404926i
\(26\) −3.37445 1.27006i −0.661785 0.249080i
\(27\) −1.48267 4.98013i −0.285341 0.958426i
\(28\) 2.62951 + 0.292738i 0.496930 + 0.0553222i
\(29\) −2.79123 1.61152i −0.518319 0.299251i 0.217928 0.975965i \(-0.430070\pi\)
−0.736246 + 0.676714i \(0.763404\pi\)
\(30\) 1.64215 + 2.29996i 0.299814 + 0.419914i
\(31\) −3.28416 + 5.68833i −0.589852 + 1.02165i 0.404399 + 0.914583i \(0.367481\pi\)
−0.994251 + 0.107071i \(0.965853\pi\)
\(32\) 1.00000 0.176777
\(33\) −2.91901 + 2.08414i −0.508134 + 0.362802i
\(34\) 3.05447 0.523837
\(35\) 3.95436 1.73152i 0.668408 0.292681i
\(36\) −2.94435 + 0.575141i −0.490725 + 0.0958569i
\(37\) 7.93783i 1.30497i 0.757801 + 0.652486i \(0.226274\pi\)
−0.757801 + 0.652486i \(0.773726\pi\)
\(38\) 0.662420 1.14734i 0.107459 0.186124i
\(39\) 1.62671 6.02941i 0.260482 0.965479i
\(40\) 1.41302 0.815806i 0.223418 0.128990i
\(41\) −7.41619 4.28174i −1.15821 0.668695i −0.207339 0.978269i \(-0.566480\pi\)
−0.950875 + 0.309574i \(0.899814\pi\)
\(42\) −0.0660664 + 4.58210i −0.0101943 + 0.707033i
\(43\) 2.69662 + 4.67069i 0.411231 + 0.712273i 0.995025 0.0996291i \(-0.0317656\pi\)
−0.583794 + 0.811902i \(0.698432\pi\)
\(44\) 1.03538 + 1.79334i 0.156090 + 0.270356i
\(45\) −3.69122 + 3.21471i −0.550255 + 0.479220i
\(46\) 6.10879i 0.900693i
\(47\) 0.714173 0.412328i 0.104173 0.0601442i −0.447008 0.894530i \(-0.647511\pi\)
0.551181 + 0.834386i \(0.314177\pi\)
\(48\) 0.166804 + 1.72400i 0.0240761 + 0.248838i
\(49\) 6.82861 + 1.53951i 0.975516 + 0.219930i
\(50\) −1.16892 + 2.02463i −0.165310 + 0.286326i
\(51\) 0.509499 + 5.26590i 0.0713441 + 0.737374i
\(52\) −3.37445 1.27006i −0.467953 0.176126i
\(53\) 9.25742 + 5.34477i 1.27160 + 0.734161i 0.975290 0.220930i \(-0.0709092\pi\)
0.296314 + 0.955091i \(0.404242\pi\)
\(54\) −1.48267 4.98013i −0.201766 0.677710i
\(55\) 2.92603 + 1.68934i 0.394546 + 0.227791i
\(56\) 2.62951 + 0.292738i 0.351383 + 0.0391187i
\(57\) 2.08852 + 0.950630i 0.276631 + 0.125914i
\(58\) −2.79123 1.61152i −0.366507 0.211603i
\(59\) 13.5971i 1.77020i −0.465405 0.885098i \(-0.654091\pi\)
0.465405 0.885098i \(-0.345909\pi\)
\(60\) 1.64215 + 2.29996i 0.212000 + 0.296924i
\(61\) −13.4689 7.77625i −1.72451 0.995647i −0.908857 0.417107i \(-0.863044\pi\)
−0.815654 0.578540i \(-0.803623\pi\)
\(62\) −3.28416 + 5.68833i −0.417088 + 0.722418i
\(63\) −7.91056 + 0.650416i −0.996637 + 0.0819447i
\(64\) 1.00000 0.125000
\(65\) −5.80429 + 0.958282i −0.719934 + 0.118860i
\(66\) −2.91901 + 2.08414i −0.359305 + 0.256540i
\(67\) −2.83485 + 1.63670i −0.346333 + 0.199955i −0.663069 0.748558i \(-0.730746\pi\)
0.316736 + 0.948514i \(0.397413\pi\)
\(68\) 3.05447 0.370409
\(69\) 10.5316 1.01897i 1.26785 0.122670i
\(70\) 3.95436 1.73152i 0.472636 0.206957i
\(71\) −4.59225 7.95402i −0.545000 0.943968i −0.998607 0.0527663i \(-0.983196\pi\)
0.453607 0.891202i \(-0.350137\pi\)
\(72\) −2.94435 + 0.575141i −0.346995 + 0.0677811i
\(73\) 1.43611 2.48741i 0.168084 0.291129i −0.769662 0.638451i \(-0.779575\pi\)
0.937746 + 0.347322i \(0.112909\pi\)
\(74\) 7.93783i 0.922755i
\(75\) −3.68544 1.67750i −0.425558 0.193701i
\(76\) 0.662420 1.14734i 0.0759848 0.131609i
\(77\) 2.19757 + 5.01869i 0.250436 + 0.571932i
\(78\) 1.62671 6.02941i 0.184189 0.682696i
\(79\) −3.24657 5.62322i −0.365268 0.632662i 0.623551 0.781782i \(-0.285689\pi\)
−0.988819 + 0.149120i \(0.952356\pi\)
\(80\) 1.41302 0.815806i 0.157980 0.0912099i
\(81\) 8.33842 3.38684i 0.926492 0.376315i
\(82\) −7.41619 4.28174i −0.818981 0.472839i
\(83\) 6.85946i 0.752924i −0.926432 0.376462i \(-0.877141\pi\)
0.926432 0.376462i \(-0.122859\pi\)
\(84\) −0.0660664 + 4.58210i −0.00720843 + 0.499948i
\(85\) 4.31602 2.49186i 0.468138 0.270280i
\(86\) 2.69662 + 4.67069i 0.290784 + 0.503653i
\(87\) 2.31267 5.08089i 0.247944 0.544729i
\(88\) 1.03538 + 1.79334i 0.110372 + 0.191170i
\(89\) 1.07299i 0.113736i −0.998382 0.0568682i \(-0.981889\pi\)
0.998382 0.0568682i \(-0.0181115\pi\)
\(90\) −3.69122 + 3.21471i −0.389089 + 0.338860i
\(91\) −8.50136 4.32746i −0.891184 0.453641i
\(92\) 6.10879i 0.636886i
\(93\) −10.3545 4.71305i −1.07371 0.488721i
\(94\) 0.714173 0.412328i 0.0736613 0.0425284i
\(95\) 2.16163i 0.221778i
\(96\) 0.166804 + 1.72400i 0.0170244 + 0.175955i
\(97\) −4.58560 7.94250i −0.465598 0.806439i 0.533631 0.845718i \(-0.320827\pi\)
−0.999228 + 0.0392790i \(0.987494\pi\)
\(98\) 6.82861 + 1.53951i 0.689794 + 0.155514i
\(99\) −4.07996 4.68472i −0.410051 0.470832i
\(100\) −1.16892 + 2.02463i −0.116892 + 0.202463i
\(101\) 0.381326 + 0.660476i 0.0379434 + 0.0657198i 0.884373 0.466780i \(-0.154586\pi\)
−0.846430 + 0.532500i \(0.821253\pi\)
\(102\) 0.509499 + 5.26590i 0.0504479 + 0.521402i
\(103\) −11.8342 + 6.83246i −1.16606 + 0.673222i −0.952748 0.303763i \(-0.901757\pi\)
−0.213307 + 0.976985i \(0.568424\pi\)
\(104\) −3.37445 1.27006i −0.330893 0.124540i
\(105\) 3.64475 + 6.52849i 0.355691 + 0.637115i
\(106\) 9.25742 + 5.34477i 0.899160 + 0.519130i
\(107\) 9.13060i 0.882689i −0.897338 0.441344i \(-0.854502\pi\)
0.897338 0.441344i \(-0.145498\pi\)
\(108\) −1.48267 4.98013i −0.142670 0.479213i
\(109\) 14.4120 + 8.32078i 1.38042 + 0.796986i 0.992209 0.124584i \(-0.0397597\pi\)
0.388211 + 0.921570i \(0.373093\pi\)
\(110\) 2.92603 + 1.68934i 0.278986 + 0.161073i
\(111\) −13.6848 + 1.32407i −1.29891 + 0.125675i
\(112\) 2.62951 + 0.292738i 0.248465 + 0.0276611i
\(113\) 7.84130 4.52717i 0.737647 0.425881i −0.0835662 0.996502i \(-0.526631\pi\)
0.821213 + 0.570622i \(0.193298\pi\)
\(114\) 2.08852 + 0.950630i 0.195608 + 0.0890346i
\(115\) −4.98359 8.63184i −0.464722 0.804923i
\(116\) −2.79123 1.61152i −0.259159 0.149626i
\(117\) 10.6660 + 1.79872i 0.986077 + 0.166292i
\(118\) 13.5971i 1.25172i
\(119\) 8.03175 + 0.894158i 0.736269 + 0.0819673i
\(120\) 1.64215 + 2.29996i 0.149907 + 0.209957i
\(121\) 3.35596 5.81270i 0.305088 0.528427i
\(122\) −13.4689 7.77625i −1.21941 0.704029i
\(123\) 6.14466 13.4997i 0.554046 1.21723i
\(124\) −3.28416 + 5.68833i −0.294926 + 0.510827i
\(125\) 11.9725i 1.07085i
\(126\) −7.91056 + 0.650416i −0.704729 + 0.0579436i
\(127\) 1.70273 2.94922i 0.151093 0.261701i −0.780536 0.625110i \(-0.785054\pi\)
0.931630 + 0.363409i \(0.118387\pi\)
\(128\) 1.00000 0.0883883
\(129\) −7.60245 + 5.42807i −0.669359 + 0.477915i
\(130\) −5.80429 + 0.958282i −0.509070 + 0.0840469i
\(131\) 5.11851 + 8.86551i 0.447206 + 0.774584i 0.998203 0.0599237i \(-0.0190858\pi\)
−0.550997 + 0.834507i \(0.685752\pi\)
\(132\) −2.91901 + 2.08414i −0.254067 + 0.181401i
\(133\) 2.07771 2.82304i 0.180160 0.244788i
\(134\) −2.83485 + 1.63670i −0.244894 + 0.141390i
\(135\) −6.15787 5.82744i −0.529985 0.501546i
\(136\) 3.05447 0.261919
\(137\) 3.69448 0.315641 0.157820 0.987468i \(-0.449553\pi\)
0.157820 + 0.987468i \(0.449553\pi\)
\(138\) 10.5316 1.01897i 0.896506 0.0867408i
\(139\) 11.8635 6.84939i 1.00625 0.580958i 0.0961575 0.995366i \(-0.469345\pi\)
0.910091 + 0.414408i \(0.136011\pi\)
\(140\) 3.95436 1.73152i 0.334204 0.146341i
\(141\) 0.829981 + 1.16246i 0.0698970 + 0.0978965i
\(142\) −4.59225 7.95402i −0.385373 0.667486i
\(143\) −1.21621 7.36653i −0.101704 0.616020i
\(144\) −2.94435 + 0.575141i −0.245363 + 0.0479284i
\(145\) −5.25875 −0.436715
\(146\) 1.43611 2.48741i 0.118853 0.205860i
\(147\) −1.51507 + 12.0293i −0.124961 + 0.992162i
\(148\) 7.93783i 0.652486i
\(149\) −9.67165 + 16.7518i −0.792332 + 1.37236i 0.132187 + 0.991225i \(0.457800\pi\)
−0.924519 + 0.381135i \(0.875533\pi\)
\(150\) −3.68544 1.67750i −0.300915 0.136967i
\(151\) 2.94889 + 1.70254i 0.239977 + 0.138551i 0.615166 0.788397i \(-0.289089\pi\)
−0.375189 + 0.926948i \(0.622422\pi\)
\(152\) 0.662420 1.14734i 0.0537293 0.0930619i
\(153\) −8.99343 + 1.75675i −0.727076 + 0.142025i
\(154\) 2.19757 + 5.01869i 0.177085 + 0.404417i
\(155\) 10.7169i 0.860806i
\(156\) 1.62671 6.02941i 0.130241 0.482739i
\(157\) −16.4481 9.49631i −1.31270 0.757888i −0.330158 0.943926i \(-0.607102\pi\)
−0.982543 + 0.186038i \(0.940435\pi\)
\(158\) −3.24657 5.62322i −0.258283 0.447360i
\(159\) −7.67021 + 16.8513i −0.608287 + 1.33640i
\(160\) 1.41302 0.815806i 0.111709 0.0644952i
\(161\) 1.78827 16.0631i 0.140936 1.26595i
\(162\) 8.33842 3.38684i 0.655129 0.266095i
\(163\) −0.971853 0.561100i −0.0761214 0.0439487i 0.461456 0.887163i \(-0.347327\pi\)
−0.537578 + 0.843214i \(0.680660\pi\)
\(164\) −7.41619 4.28174i −0.579107 0.334348i
\(165\) −2.42436 + 5.32627i −0.188736 + 0.414649i
\(166\) 6.85946i 0.532397i
\(167\) 1.05294 + 0.607914i 0.0814787 + 0.0470418i 0.540186 0.841546i \(-0.318354\pi\)
−0.458707 + 0.888588i \(0.651687\pi\)
\(168\) −0.0660664 + 4.58210i −0.00509713 + 0.353517i
\(169\) 9.77389 + 8.57153i 0.751838 + 0.659348i
\(170\) 4.31602 2.49186i 0.331024 0.191117i
\(171\) −1.29051 + 3.75917i −0.0986879 + 0.287471i
\(172\) 2.69662 + 4.67069i 0.205615 + 0.356136i
\(173\) −9.60871 + 16.6428i −0.730537 + 1.26533i 0.226117 + 0.974100i \(0.427397\pi\)
−0.956654 + 0.291227i \(0.905937\pi\)
\(174\) 2.31267 5.08089i 0.175323 0.385181i
\(175\) −3.66637 + 4.98159i −0.277151 + 0.376573i
\(176\) 1.03538 + 1.79334i 0.0780450 + 0.135178i
\(177\) 23.4415 2.26806i 1.76197 0.170478i
\(178\) 1.07299i 0.0804238i
\(179\) −14.3720 + 8.29766i −1.07421 + 0.620196i −0.929329 0.369253i \(-0.879614\pi\)
−0.144882 + 0.989449i \(0.546280\pi\)
\(180\) −3.69122 + 3.21471i −0.275127 + 0.239610i
\(181\) 21.1467i 1.57182i 0.618341 + 0.785910i \(0.287805\pi\)
−0.618341 + 0.785910i \(0.712195\pi\)
\(182\) −8.50136 4.32746i −0.630162 0.320773i
\(183\) 11.1596 24.5174i 0.824941 1.81238i
\(184\) 6.10879i 0.450346i
\(185\) 6.47574 + 11.2163i 0.476106 + 0.824639i
\(186\) −10.3545 4.71305i −0.759228 0.345578i
\(187\) 3.16255 + 5.47769i 0.231268 + 0.400568i
\(188\) 0.714173 0.412328i 0.0520864 0.0300721i
\(189\) −2.44083 13.5293i −0.177544 0.984113i
\(190\) 2.16163i 0.156821i
\(191\) 5.67581 + 3.27693i 0.410687 + 0.237110i 0.691085 0.722774i \(-0.257133\pi\)
−0.280398 + 0.959884i \(0.590466\pi\)
\(192\) 0.166804 + 1.72400i 0.0120381 + 0.124419i
\(193\) −8.61135 + 4.97176i −0.619858 + 0.357875i −0.776814 0.629730i \(-0.783165\pi\)
0.156956 + 0.987606i \(0.449832\pi\)
\(194\) −4.58560 7.94250i −0.329227 0.570238i
\(195\) −2.62026 9.84675i −0.187641 0.705140i
\(196\) 6.82861 + 1.53951i 0.487758 + 0.109965i
\(197\) 0.185155 0.320698i 0.0131918 0.0228488i −0.859354 0.511381i \(-0.829134\pi\)
0.872546 + 0.488532i \(0.162467\pi\)
\(198\) −4.07996 4.68472i −0.289950 0.332929i
\(199\) 16.8878i 1.19714i 0.801069 + 0.598572i \(0.204265\pi\)
−0.801069 + 0.598572i \(0.795735\pi\)
\(200\) −1.16892 + 2.02463i −0.0826551 + 0.143163i
\(201\) −3.29454 4.61428i −0.232379 0.325466i
\(202\) 0.381326 + 0.660476i 0.0268300 + 0.0464709i
\(203\) −6.86781 5.05459i −0.482026 0.354763i
\(204\) 0.509499 + 5.26590i 0.0356720 + 0.368687i
\(205\) −13.9723 −0.975866
\(206\) −11.8342 + 6.83246i −0.824525 + 0.476040i
\(207\) 3.51342 + 17.9864i 0.244200 + 1.25014i
\(208\) −3.37445 1.27006i −0.233976 0.0880629i
\(209\) 2.74343 0.189767
\(210\) 3.64475 + 6.52849i 0.251512 + 0.450508i
\(211\) −0.132711 + 0.229862i −0.00913618 + 0.0158243i −0.870557 0.492067i \(-0.836242\pi\)
0.861421 + 0.507891i \(0.169575\pi\)
\(212\) 9.25742 + 5.34477i 0.635802 + 0.367080i
\(213\) 12.9467 9.24381i 0.887095 0.633376i
\(214\) 9.13060i 0.624155i
\(215\) 7.62075 + 4.39984i 0.519731 + 0.300067i
\(216\) −1.48267 4.98013i −0.100883 0.338855i
\(217\) −10.3009 + 13.9961i −0.699271 + 0.950117i
\(218\) 14.4120 + 8.32078i 0.976105 + 0.563554i
\(219\) 4.52785 + 2.06094i 0.305963 + 0.139265i
\(220\) 2.92603 + 1.68934i 0.197273 + 0.113896i
\(221\) −10.3072 3.87936i −0.693335 0.260954i
\(222\) −13.6848 + 1.32407i −0.918465 + 0.0888654i
\(223\) 5.03909 8.72796i 0.337442 0.584467i −0.646508 0.762907i \(-0.723771\pi\)
0.983951 + 0.178439i \(0.0571048\pi\)
\(224\) 2.62951 + 0.292738i 0.175691 + 0.0195593i
\(225\) 2.27726 6.63351i 0.151818 0.442234i
\(226\) 7.84130 4.52717i 0.521595 0.301143i
\(227\) 11.4396i 0.759273i −0.925136 0.379636i \(-0.876049\pi\)
0.925136 0.379636i \(-0.123951\pi\)
\(228\) 2.08852 + 0.950630i 0.138315 + 0.0629570i
\(229\) 4.74685 + 8.22179i 0.313681 + 0.543311i 0.979156 0.203109i \(-0.0651045\pi\)
−0.665475 + 0.746420i \(0.731771\pi\)
\(230\) −4.98359 8.63184i −0.328608 0.569166i
\(231\) −8.28565 + 4.62575i −0.545156 + 0.304352i
\(232\) −2.79123 1.61152i −0.183253 0.105801i
\(233\) −3.90224 + 2.25296i −0.255644 + 0.147596i −0.622346 0.782742i \(-0.713820\pi\)
0.366702 + 0.930339i \(0.380487\pi\)
\(234\) 10.6660 + 1.79872i 0.697261 + 0.117586i
\(235\) 0.672760 1.16525i 0.0438860 0.0760128i
\(236\) 13.5971i 0.885098i
\(237\) 9.15290 6.53507i 0.594545 0.424498i
\(238\) 8.03175 + 0.894158i 0.520621 + 0.0579596i
\(239\) 17.3876 1.12471 0.562354 0.826896i \(-0.309896\pi\)
0.562354 + 0.826896i \(0.309896\pi\)
\(240\) 1.64215 + 2.29996i 0.106000 + 0.148462i
\(241\) −1.42882 −0.0920384 −0.0460192 0.998941i \(-0.514654\pi\)
−0.0460192 + 0.998941i \(0.514654\pi\)
\(242\) 3.35596 5.81270i 0.215729 0.373654i
\(243\) 7.22979 + 13.8105i 0.463792 + 0.885944i
\(244\) −13.4689 7.77625i −0.862256 0.497824i
\(245\) 10.9049 3.39547i 0.696688 0.216928i
\(246\) 6.14466 13.4997i 0.391770 0.860711i
\(247\) −3.69250 + 3.03035i −0.234948 + 0.192817i
\(248\) −3.28416 + 5.68833i −0.208544 + 0.361209i
\(249\) 11.8257 1.14419i 0.749424 0.0725099i
\(250\) 11.9725i 0.757208i
\(251\) −3.39863 5.88660i −0.214520 0.371559i 0.738604 0.674139i \(-0.235485\pi\)
−0.953124 + 0.302580i \(0.902152\pi\)
\(252\) −7.91056 + 0.650416i −0.498318 + 0.0409723i
\(253\) 10.9551 6.32494i 0.688743 0.397646i
\(254\) 1.70273 2.94922i 0.106839 0.185051i
\(255\) 5.01589 + 7.02517i 0.314107 + 0.439933i
\(256\) 1.00000 0.0625000
\(257\) 14.1505 0.882684 0.441342 0.897339i \(-0.354503\pi\)
0.441342 + 0.897339i \(0.354503\pi\)
\(258\) −7.60245 + 5.42807i −0.473308 + 0.337937i
\(259\) −2.32370 + 20.8726i −0.144388 + 1.29696i
\(260\) −5.80429 + 0.958282i −0.359967 + 0.0594301i
\(261\) 9.14522 + 3.13952i 0.566075 + 0.194332i
\(262\) 5.11851 + 8.86551i 0.316222 + 0.547713i
\(263\) −11.1426 + 6.43320i −0.687084 + 0.396688i −0.802519 0.596627i \(-0.796507\pi\)
0.115435 + 0.993315i \(0.463174\pi\)
\(264\) −2.91901 + 2.08414i −0.179652 + 0.128270i
\(265\) 17.4412 1.07140
\(266\) 2.07771 2.82304i 0.127392 0.173091i
\(267\) 1.84983 0.178979i 0.113208 0.0109533i
\(268\) −2.83485 + 1.63670i −0.173166 + 0.0999776i
\(269\) 27.3543 1.66782 0.833909 0.551902i \(-0.186098\pi\)
0.833909 + 0.551902i \(0.186098\pi\)
\(270\) −6.15787 5.82744i −0.374756 0.354646i
\(271\) −1.35557 −0.0823450 −0.0411725 0.999152i \(-0.513109\pi\)
−0.0411725 + 0.999152i \(0.513109\pi\)
\(272\) 3.05447 0.185204
\(273\) 6.04249 15.3782i 0.365708 0.930730i
\(274\) 3.69448 0.223192
\(275\) −4.84112 −0.291931
\(276\) 10.5316 1.01897i 0.633926 0.0613350i
\(277\) −20.9249 −1.25725 −0.628627 0.777707i \(-0.716383\pi\)
−0.628627 + 0.777707i \(0.716383\pi\)
\(278\) 11.8635 6.84939i 0.711525 0.410799i
\(279\) 6.39813 18.6373i 0.383046 1.11579i
\(280\) 3.95436 1.73152i 0.236318 0.103478i
\(281\) 4.08136 0.243474 0.121737 0.992562i \(-0.461154\pi\)
0.121737 + 0.992562i \(0.461154\pi\)
\(282\) 0.829981 + 1.16246i 0.0494246 + 0.0692233i
\(283\) −1.87345 + 1.08164i −0.111365 + 0.0642966i −0.554648 0.832085i \(-0.687147\pi\)
0.443283 + 0.896382i \(0.353814\pi\)
\(284\) −4.59225 7.95402i −0.272500 0.471984i
\(285\) 3.72664 0.360568i 0.220747 0.0213582i
\(286\) −1.21621 7.36653i −0.0719158 0.435592i
\(287\) −18.2475 13.4299i −1.07712 0.792739i
\(288\) −2.94435 + 0.575141i −0.173498 + 0.0338905i
\(289\) −7.67022 −0.451189
\(290\) −5.25875 −0.308804
\(291\) 12.9280 9.23043i 0.757851 0.541097i
\(292\) 1.43611 2.48741i 0.0840418 0.145565i
\(293\) −5.29149 + 3.05504i −0.309132 + 0.178478i −0.646538 0.762882i \(-0.723784\pi\)
0.337406 + 0.941359i \(0.390451\pi\)
\(294\) −1.51507 + 12.0293i −0.0883609 + 0.701564i
\(295\) −11.0926 19.2130i −0.645838 1.11862i
\(296\) 7.93783i 0.461377i
\(297\) 7.39591 7.81528i 0.429154 0.453488i
\(298\) −9.67165 + 16.7518i −0.560263 + 0.970405i
\(299\) −7.75854 + 20.6138i −0.448688 + 1.19213i
\(300\) −3.68544 1.67750i −0.212779 0.0968506i
\(301\) 5.72350 + 13.0710i 0.329897 + 0.753400i
\(302\) 2.94889 + 1.70254i 0.169689 + 0.0979703i
\(303\) −1.07505 + 0.767577i −0.0617602 + 0.0440961i
\(304\) 0.662420 1.14734i 0.0379924 0.0658047i
\(305\) −25.3757 −1.45301
\(306\) −8.99343 + 1.75675i −0.514120 + 0.100427i
\(307\) −0.994225 −0.0567434 −0.0283717 0.999597i \(-0.509032\pi\)
−0.0283717 + 0.999597i \(0.509032\pi\)
\(308\) 2.19757 + 5.01869i 0.125218 + 0.285966i
\(309\) −13.7532 19.2624i −0.782389 1.09580i
\(310\) 10.7169i 0.608682i
\(311\) −0.596522 + 1.03321i −0.0338256 + 0.0585877i −0.882443 0.470420i \(-0.844102\pi\)
0.848617 + 0.529008i \(0.177436\pi\)
\(312\) 1.62671 6.02941i 0.0920944 0.341348i
\(313\) 22.7854 13.1551i 1.28791 0.743573i 0.309626 0.950859i \(-0.399796\pi\)
0.978280 + 0.207285i \(0.0664629\pi\)
\(314\) −16.4481 9.49631i −0.928219 0.535908i
\(315\) −10.6472 + 7.37253i −0.599899 + 0.415395i
\(316\) −3.24657 5.62322i −0.182634 0.316331i
\(317\) 11.3370 + 19.6363i 0.636751 + 1.10289i 0.986141 + 0.165908i \(0.0530555\pi\)
−0.349390 + 0.936977i \(0.613611\pi\)
\(318\) −7.67021 + 16.8513i −0.430124 + 0.944975i
\(319\) 6.67415i 0.373681i
\(320\) 1.41302 0.815806i 0.0789901 0.0456050i
\(321\) 15.7412 1.52302i 0.878586 0.0850069i
\(322\) 1.78827 16.0631i 0.0996566 0.895162i
\(323\) 2.02334 3.50453i 0.112582 0.194997i
\(324\) 8.33842 3.38684i 0.463246 0.188158i
\(325\) 6.51587 5.34742i 0.361435 0.296621i
\(326\) −0.971853 0.561100i −0.0538260 0.0310764i
\(327\) −11.9410 + 26.2343i −0.660341 + 1.45076i
\(328\) −7.41619 4.28174i −0.409490 0.236419i
\(329\) 1.99863 0.875154i 0.110188 0.0482488i
\(330\) −2.42436 + 5.32627i −0.133456 + 0.293201i
\(331\) 4.44504 + 2.56635i 0.244322 + 0.141059i 0.617161 0.786837i \(-0.288283\pi\)
−0.372840 + 0.927896i \(0.621616\pi\)
\(332\) 6.85946i 0.376462i
\(333\) −4.56538 23.3718i −0.250181 1.28077i
\(334\) 1.05294 + 0.607914i 0.0576142 + 0.0332636i
\(335\) −2.67047 + 4.62539i −0.145903 + 0.252712i
\(336\) −0.0660664 + 4.58210i −0.00360422 + 0.249974i
\(337\) 8.20935 0.447192 0.223596 0.974682i \(-0.428220\pi\)
0.223596 + 0.974682i \(0.428220\pi\)
\(338\) 9.77389 + 8.57153i 0.531629 + 0.466230i
\(339\) 9.11281 + 12.7632i 0.494940 + 0.693204i
\(340\) 4.31602 2.49186i 0.234069 0.135140i
\(341\) −13.6014 −0.736560
\(342\) −1.29051 + 3.75917i −0.0697829 + 0.203273i
\(343\) 17.5052 + 6.04714i 0.945192 + 0.326515i
\(344\) 2.69662 + 4.67069i 0.145392 + 0.251827i
\(345\) 14.0500 10.0315i 0.756427 0.540080i
\(346\) −9.60871 + 16.6428i −0.516568 + 0.894721i
\(347\) 10.7152i 0.575225i 0.957747 + 0.287612i \(0.0928615\pi\)
−0.957747 + 0.287612i \(0.907139\pi\)
\(348\) 2.31267 5.08089i 0.123972 0.272364i
\(349\) 2.23834 3.87693i 0.119816 0.207527i −0.799879 0.600162i \(-0.795103\pi\)
0.919695 + 0.392634i \(0.128436\pi\)
\(350\) −3.66637 + 4.98159i −0.195976 + 0.266277i
\(351\) −1.32185 + 18.6883i −0.0705551 + 0.997508i
\(352\) 1.03538 + 1.79334i 0.0551861 + 0.0955852i
\(353\) −15.5607 + 8.98395i −0.828211 + 0.478168i −0.853240 0.521519i \(-0.825366\pi\)
0.0250291 + 0.999687i \(0.492032\pi\)
\(354\) 23.4415 2.26806i 1.24590 0.120546i
\(355\) −12.9779 7.49278i −0.688794 0.397676i
\(356\) 1.07299i 0.0568682i
\(357\) −0.201798 + 13.9959i −0.0106803 + 0.740741i
\(358\) −14.3720 + 8.29766i −0.759582 + 0.438545i
\(359\) −2.59460 4.49398i −0.136938 0.237183i 0.789398 0.613881i \(-0.210393\pi\)
−0.926336 + 0.376698i \(0.877059\pi\)
\(360\) −3.69122 + 3.21471i −0.194544 + 0.169430i
\(361\) 8.62240 + 14.9344i 0.453811 + 0.786023i
\(362\) 21.1467i 1.11144i
\(363\) 10.5809 + 4.81610i 0.555352 + 0.252780i
\(364\) −8.50136 4.32746i −0.445592 0.226821i
\(365\) 4.68634i 0.245294i
\(366\) 11.1596 24.5174i 0.583321 1.28155i
\(367\) 14.2733 8.24067i 0.745058 0.430160i −0.0788473 0.996887i \(-0.525124\pi\)
0.823906 + 0.566727i \(0.191791\pi\)
\(368\) 6.10879i 0.318443i
\(369\) 24.2985 + 8.34159i 1.26493 + 0.434246i
\(370\) 6.47574 + 11.2163i 0.336657 + 0.583108i
\(371\) 22.7778 + 16.7641i 1.18257 + 0.870349i
\(372\) −10.3545 4.71305i −0.536855 0.244360i
\(373\) −17.7937 + 30.8197i −0.921325 + 1.59578i −0.123957 + 0.992288i \(0.539558\pi\)
−0.797368 + 0.603494i \(0.793775\pi\)
\(374\) 3.16255 + 5.47769i 0.163531 + 0.283245i
\(375\) −20.6406 + 1.99707i −1.06588 + 0.103128i
\(376\) 0.714173 0.412328i 0.0368307 0.0212642i
\(377\) 7.37216 + 8.98303i 0.379685 + 0.462649i
\(378\) −2.44083 13.5293i −0.125543 0.695873i
\(379\) 25.3582 + 14.6406i 1.30256 + 0.752035i 0.980843 0.194800i \(-0.0624057\pi\)
0.321720 + 0.946835i \(0.395739\pi\)
\(380\) 2.16163i 0.110889i
\(381\) 5.36848 + 2.44357i 0.275036 + 0.125188i
\(382\) 5.67581 + 3.27693i 0.290400 + 0.167662i
\(383\) −8.78316 5.07096i −0.448799 0.259114i 0.258524 0.966005i \(-0.416764\pi\)
−0.707323 + 0.706891i \(0.750097\pi\)
\(384\) 0.166804 + 1.72400i 0.00851220 + 0.0879775i
\(385\) 7.19948 + 5.29870i 0.366920 + 0.270047i
\(386\) −8.61135 + 4.97176i −0.438306 + 0.253056i
\(387\) −10.6261 12.2012i −0.540156 0.620222i
\(388\) −4.58560 7.94250i −0.232799 0.403219i
\(389\) 23.9026 + 13.8002i 1.21191 + 0.699696i 0.963175 0.268876i \(-0.0866521\pi\)
0.248734 + 0.968572i \(0.419985\pi\)
\(390\) −2.62026 9.84675i −0.132682 0.498610i
\(391\) 18.6591i 0.943632i
\(392\) 6.82861 + 1.53951i 0.344897 + 0.0777570i
\(393\) −14.4304 + 10.3031i −0.727915 + 0.519723i
\(394\) 0.185155 0.320698i 0.00932798 0.0161565i
\(395\) −9.17493 5.29715i −0.461641 0.266528i
\(396\) −4.07996 4.68472i −0.205025 0.235416i
\(397\) 0.109839 0.190247i 0.00551266 0.00954821i −0.863256 0.504767i \(-0.831579\pi\)
0.868769 + 0.495218i \(0.164912\pi\)
\(398\) 16.8878i 0.846509i
\(399\) 5.21348 + 3.11107i 0.261001 + 0.155749i
\(400\) −1.16892 + 2.02463i −0.0584460 + 0.101231i
\(401\) −23.8650 −1.19176 −0.595882 0.803072i \(-0.703197\pi\)
−0.595882 + 0.803072i \(0.703197\pi\)
\(402\) −3.29454 4.61428i −0.164317 0.230139i
\(403\) 18.3068 15.0239i 0.911925 0.748395i
\(404\) 0.381326 + 0.660476i 0.0189717 + 0.0328599i
\(405\) 9.01934 11.5882i 0.448175 0.575822i
\(406\) −6.86781 5.05459i −0.340844 0.250855i
\(407\) −14.2352 + 8.21870i −0.705613 + 0.407386i
\(408\) 0.509499 + 5.26590i 0.0252239 + 0.260701i
\(409\) 7.74689 0.383059 0.191529 0.981487i \(-0.438655\pi\)
0.191529 + 0.981487i \(0.438655\pi\)
\(410\) −13.9723 −0.690042
\(411\) 0.616255 + 6.36928i 0.0303976 + 0.314174i
\(412\) −11.8342 + 6.83246i −0.583028 + 0.336611i
\(413\) 3.98039 35.7537i 0.195862 1.75933i
\(414\) 3.51342 + 17.9864i 0.172675 + 0.883985i
\(415\) −5.59599 9.69254i −0.274696 0.475788i
\(416\) −3.37445 1.27006i −0.165446 0.0622699i
\(417\) 13.7872 + 19.3102i 0.675164 + 0.945623i
\(418\) 2.74343 0.134186
\(419\) 1.65804 2.87182i 0.0810008 0.140297i −0.822679 0.568506i \(-0.807522\pi\)
0.903680 + 0.428208i \(0.140855\pi\)
\(420\) 3.64475 + 6.52849i 0.177846 + 0.318558i
\(421\) 25.2793i 1.23204i 0.787731 + 0.616019i \(0.211256\pi\)
−0.787731 + 0.616019i \(0.788744\pi\)
\(422\) −0.132711 + 0.229862i −0.00646026 + 0.0111895i
\(423\) −1.86563 + 1.62479i −0.0907100 + 0.0790000i
\(424\) 9.25742 + 5.34477i 0.449580 + 0.259565i
\(425\) −3.57043 + 6.18417i −0.173191 + 0.299976i
\(426\) 12.9467 9.24381i 0.627271 0.447864i
\(427\) −33.1401 24.3905i −1.60376 1.18034i
\(428\) 9.13060i 0.441344i
\(429\) 12.4970 3.32551i 0.603363 0.160557i
\(430\) 7.62075 + 4.39984i 0.367505 + 0.212179i
\(431\) −12.4404 21.5475i −0.599235 1.03790i −0.992934 0.118666i \(-0.962138\pi\)
0.393700 0.919239i \(-0.371195\pi\)
\(432\) −1.48267 4.98013i −0.0713352 0.239607i
\(433\) −17.2062 + 9.93398i −0.826875 + 0.477396i −0.852781 0.522268i \(-0.825086\pi\)
0.0259066 + 0.999664i \(0.491753\pi\)
\(434\) −10.3009 + 13.9961i −0.494459 + 0.671834i
\(435\) −0.877182 9.06608i −0.0420576 0.434685i
\(436\) 14.4120 + 8.32078i 0.690210 + 0.398493i
\(437\) −7.00889 4.04659i −0.335281 0.193574i
\(438\) 4.52785 + 2.06094i 0.216349 + 0.0984754i
\(439\) 1.31023i 0.0625339i −0.999511 0.0312670i \(-0.990046\pi\)
0.999511 0.0312670i \(-0.00995420\pi\)
\(440\) 2.92603 + 1.68934i 0.139493 + 0.0805363i
\(441\) −20.9913 0.605446i −0.999584 0.0288307i
\(442\) −10.3072 3.87936i −0.490262 0.184522i
\(443\) −13.3621 + 7.71462i −0.634853 + 0.366533i −0.782629 0.622488i \(-0.786122\pi\)
0.147776 + 0.989021i \(0.452789\pi\)
\(444\) −13.6848 + 1.32407i −0.649453 + 0.0628374i
\(445\) −0.875350 1.51615i −0.0414956 0.0718724i
\(446\) 5.03909 8.72796i 0.238608 0.413281i
\(447\) −30.4933 13.8796i −1.44229 0.656485i
\(448\) 2.62951 + 0.292738i 0.124233 + 0.0138305i
\(449\) 10.2266 + 17.7130i 0.482625 + 0.835930i 0.999801 0.0199485i \(-0.00635023\pi\)
−0.517176 + 0.855879i \(0.673017\pi\)
\(450\) 2.27726 6.63351i 0.107351 0.312707i
\(451\) 17.7330i 0.835012i
\(452\) 7.84130 4.52717i 0.368823 0.212940i
\(453\) −2.44329 + 5.36788i −0.114796 + 0.252205i
\(454\) 11.4396i 0.536887i
\(455\) −15.5429 + 0.820676i −0.728664 + 0.0384739i
\(456\) 2.08852 + 0.950630i 0.0978038 + 0.0445173i
\(457\) 32.5131i 1.52090i −0.649396 0.760450i \(-0.724978\pi\)
0.649396 0.760450i \(-0.275022\pi\)
\(458\) 4.74685 + 8.22179i 0.221806 + 0.384179i
\(459\) −4.52878 15.2116i −0.211386 0.710019i
\(460\) −4.98359 8.63184i −0.232361 0.402461i
\(461\) −20.3615 + 11.7557i −0.948329 + 0.547518i −0.892562 0.450926i \(-0.851094\pi\)
−0.0557678 + 0.998444i \(0.517761\pi\)
\(462\) −8.28565 + 4.62575i −0.385483 + 0.215209i
\(463\) 33.0233i 1.53472i −0.641214 0.767362i \(-0.721569\pi\)
0.641214 0.767362i \(-0.278431\pi\)
\(464\) −2.79123 1.61152i −0.129580 0.0748128i
\(465\) −18.4760 + 1.78763i −0.856805 + 0.0828995i
\(466\) −3.90224 + 2.25296i −0.180768 + 0.104366i
\(467\) 14.2621 + 24.7027i 0.659972 + 1.14310i 0.980623 + 0.195907i \(0.0627650\pi\)
−0.320651 + 0.947197i \(0.603902\pi\)
\(468\) 10.6660 + 1.79872i 0.493038 + 0.0831458i
\(469\) −7.93339 + 3.47386i −0.366330 + 0.160408i
\(470\) 0.672760 1.16525i 0.0310321 0.0537491i
\(471\) 13.6280 29.9405i 0.627946 1.37959i
\(472\) 13.5971i 0.625859i
\(473\) −5.58407 + 9.67190i −0.256756 + 0.444714i
\(474\) 9.15290 6.53507i 0.420407 0.300166i
\(475\) 1.54863 + 2.68231i 0.0710561 + 0.123073i
\(476\) 8.03175 + 0.894158i 0.368134 + 0.0409836i
\(477\) −30.3311 10.4126i −1.38877 0.476759i
\(478\) 17.3876 0.795289
\(479\) 30.2057 17.4393i 1.38013 0.796821i 0.387959 0.921677i \(-0.373180\pi\)
0.992175 + 0.124856i \(0.0398468\pi\)
\(480\) 1.64215 + 2.29996i 0.0749535 + 0.104978i
\(481\) 10.0815 26.7859i 0.459678 1.22133i
\(482\) −1.42882 −0.0650810
\(483\) 27.9911 + 0.403586i 1.27364 + 0.0183638i
\(484\) 3.35596 5.81270i 0.152544 0.264214i
\(485\) −12.9591 7.48193i −0.588442 0.339737i
\(486\) 7.22979 + 13.8105i 0.327950 + 0.626457i
\(487\) 0.222477i 0.0100814i −0.999987 0.00504069i \(-0.998395\pi\)
0.999987 0.00504069i \(-0.00160451\pi\)
\(488\) −13.4689 7.77625i −0.609707 0.352014i
\(489\) 0.805226 1.76907i 0.0364136 0.0800000i
\(490\) 10.9049 3.39547i 0.492633 0.153392i
\(491\) 25.2390 + 14.5717i 1.13902 + 0.657613i 0.946188 0.323619i \(-0.104899\pi\)
0.192832 + 0.981232i \(0.438233\pi\)
\(492\) 6.14466 13.4997i 0.277023 0.608614i
\(493\) −8.52573 4.92233i −0.383979 0.221691i
\(494\) −3.69250 + 3.03035i −0.166134 + 0.136342i
\(495\) −9.58688 3.29114i −0.430898 0.147926i
\(496\) −3.28416 + 5.68833i −0.147463 + 0.255413i
\(497\) −9.74692 22.2595i −0.437209 0.998474i
\(498\) 11.8257 1.14419i 0.529923 0.0512723i
\(499\) 34.1625 19.7237i 1.52932 0.882954i 0.529932 0.848040i \(-0.322218\pi\)
0.999390 0.0349141i \(-0.0111158\pi\)
\(500\) 11.9725i 0.535427i
\(501\) −0.872409 + 1.91667i −0.0389764 + 0.0856304i
\(502\) −3.39863 5.88660i −0.151688 0.262732i
\(503\) −15.0219 26.0187i −0.669793 1.16012i −0.977962 0.208784i \(-0.933049\pi\)
0.308169 0.951332i \(-0.400284\pi\)
\(504\) −7.91056 + 0.650416i −0.352364 + 0.0289718i
\(505\) 1.07764 + 0.622177i 0.0479544 + 0.0276865i
\(506\) 10.9551 6.32494i 0.487015 0.281178i
\(507\) −13.1470 + 18.2800i −0.583878 + 0.811841i
\(508\) 1.70273 2.94922i 0.0755466 0.130851i
\(509\) 39.8865i 1.76794i −0.467546 0.883969i \(-0.654862\pi\)
0.467546 0.883969i \(-0.345138\pi\)
\(510\) 5.01589 + 7.02517i 0.222107 + 0.311080i
\(511\) 4.50441 6.12026i 0.199263 0.270744i
\(512\) 1.00000 0.0441942
\(513\) −6.69608 1.59780i −0.295639 0.0705444i
\(514\) 14.1505 0.624152
\(515\) −11.1479 + 19.3088i −0.491236 + 0.850846i
\(516\) −7.60245 + 5.42807i −0.334679 + 0.238957i
\(517\) 1.47889 + 0.853835i 0.0650413 + 0.0375516i
\(518\) −2.32370 + 20.8726i −0.102098 + 0.917089i
\(519\) −30.2949 13.7893i −1.32980 0.605285i
\(520\) −5.80429 + 0.958282i −0.254535 + 0.0420234i
\(521\) −11.5449 + 19.9963i −0.505789 + 0.876052i 0.494188 + 0.869355i \(0.335465\pi\)
−0.999978 + 0.00669760i \(0.997868\pi\)
\(522\) 9.14522 + 3.13952i 0.400275 + 0.137413i
\(523\) 24.9466i 1.09084i 0.838163 + 0.545420i \(0.183630\pi\)
−0.838163 + 0.545420i \(0.816370\pi\)
\(524\) 5.11851 + 8.86551i 0.223603 + 0.387292i
\(525\) −9.19982 5.48987i −0.401513 0.239597i
\(526\) −11.1426 + 6.43320i −0.485842 + 0.280501i
\(527\) −10.0314 + 17.3748i −0.436973 + 0.756859i
\(528\) −2.91901 + 2.08414i −0.127033 + 0.0907004i
\(529\) −14.3174 −0.622494
\(530\) 17.4412 0.757597
\(531\) 7.82027 + 40.0348i 0.339371 + 1.73736i
\(532\) 2.07771 2.82304i 0.0900801 0.122394i
\(533\) 19.5875 + 23.8675i 0.848430 + 1.03382i
\(534\) 1.84983 0.178979i 0.0800500 0.00774518i
\(535\) −7.44880 12.9017i −0.322040 0.557789i
\(536\) −2.83485 + 1.63670i −0.122447 + 0.0706948i
\(537\) −16.7025 23.3932i −0.720765 1.00949i
\(538\) 27.3543 1.17933
\(539\) 4.30937 + 13.8400i 0.185618 + 0.596130i
\(540\) −6.15787 5.82744i −0.264992 0.250773i
\(541\) −29.0831 + 16.7911i −1.25038 + 0.721907i −0.971185 0.238327i \(-0.923401\pi\)
−0.279195 + 0.960234i \(0.590068\pi\)
\(542\) −1.35557 −0.0582267
\(543\) −36.4569 + 3.52736i −1.56451 + 0.151373i
\(544\) 3.05447 0.130959
\(545\) 27.1526 1.16309
\(546\) 6.04249 15.3782i 0.258594 0.658125i
\(547\) −25.6327 −1.09597 −0.547987 0.836487i \(-0.684606\pi\)
−0.547987 + 0.836487i \(0.684606\pi\)
\(548\) 3.69448 0.157820
\(549\) 44.1295 + 15.1495i 1.88340 + 0.646566i
\(550\) −4.84112 −0.206426
\(551\) −3.69793 + 2.13500i −0.157537 + 0.0909542i
\(552\) 10.5316 1.01897i 0.448253 0.0433704i
\(553\) −6.89075 15.7367i −0.293024 0.669193i
\(554\) −20.9249 −0.889013
\(555\) −18.2567 + 13.0351i −0.774955 + 0.553309i
\(556\) 11.8635 6.84939i 0.503124 0.290479i
\(557\) −15.0162 26.0087i −0.636255 1.10203i −0.986248 0.165273i \(-0.947149\pi\)
0.349993 0.936752i \(-0.386184\pi\)
\(558\) 6.39813 18.6373i 0.270854 0.788980i
\(559\) −3.16757 19.1859i −0.133974 0.811477i
\(560\) 3.95436 1.73152i 0.167102 0.0731703i
\(561\) −8.91601 + 6.36593i −0.376434 + 0.268770i
\(562\) 4.08136 0.172162
\(563\) −26.1791 −1.10332 −0.551658 0.834070i \(-0.686005\pi\)
−0.551658 + 0.834070i \(0.686005\pi\)
\(564\) 0.829981 + 1.16246i 0.0349485 + 0.0489482i
\(565\) 7.38659 12.7940i 0.310756 0.538246i
\(566\) −1.87345 + 1.08164i −0.0787469 + 0.0454645i
\(567\) 22.9174 6.46474i 0.962440 0.271494i
\(568\) −4.59225 7.95402i −0.192687 0.333743i
\(569\) 5.85652i 0.245518i 0.992437 + 0.122759i \(0.0391742\pi\)
−0.992437 + 0.122759i \(0.960826\pi\)
\(570\) 3.72664 0.360568i 0.156092 0.0151026i
\(571\) 15.5567 26.9450i 0.651027 1.12761i −0.331847 0.943333i \(-0.607672\pi\)
0.982874 0.184279i \(-0.0589950\pi\)
\(572\) −1.21621 7.36653i −0.0508522 0.308010i
\(573\) −4.70268 + 10.3317i −0.196457 + 0.431613i
\(574\) −18.2475 13.4299i −0.761635 0.560551i
\(575\) 12.3680 + 7.14069i 0.515783 + 0.297787i
\(576\) −2.94435 + 0.575141i −0.122681 + 0.0239642i
\(577\) 2.11078 3.65597i 0.0878727 0.152200i −0.818739 0.574166i \(-0.805326\pi\)
0.906612 + 0.421966i \(0.138660\pi\)
\(578\) −7.67022 −0.319039
\(579\) −10.0077 14.0167i −0.415907 0.582512i
\(580\) −5.25875 −0.218358
\(581\) 2.00802 18.0370i 0.0833068 0.748301i
\(582\) 12.9280 9.23043i 0.535882 0.382613i
\(583\) 22.1355i 0.916761i
\(584\) 1.43611 2.48741i 0.0594265 0.102930i
\(585\) 16.5387 6.15981i 0.683792 0.254677i
\(586\) −5.29149 + 3.05504i −0.218590 + 0.126203i
\(587\) 25.6971 + 14.8362i 1.06063 + 0.612358i 0.925608 0.378484i \(-0.123555\pi\)
0.135027 + 0.990842i \(0.456888\pi\)
\(588\) −1.51507 + 12.0293i −0.0624806 + 0.496081i
\(589\) 4.35098 + 7.53612i 0.179279 + 0.310521i
\(590\) −11.0926 19.2130i −0.456676 0.790986i
\(591\) 0.583768 + 0.265714i 0.0240130 + 0.0109300i
\(592\) 7.93783i 0.326243i
\(593\) 32.5826 18.8116i 1.33801 0.772500i 0.351497 0.936189i \(-0.385673\pi\)
0.986512 + 0.163690i \(0.0523396\pi\)
\(594\) 7.39591 7.81528i 0.303458 0.320665i
\(595\) 12.0785 5.28889i 0.495169 0.216823i
\(596\) −9.67165 + 16.7518i −0.396166 + 0.686180i
\(597\) −29.1146 + 2.81696i −1.19158 + 0.115290i
\(598\) −7.75854 + 20.6138i −0.317270 + 0.842963i
\(599\) −31.7637 18.3388i −1.29783 0.749302i −0.317800 0.948158i \(-0.602944\pi\)
−0.980029 + 0.198856i \(0.936277\pi\)
\(600\) −3.68544 1.67750i −0.150457 0.0684837i
\(601\) 3.55065 + 2.04997i 0.144834 + 0.0836199i 0.570666 0.821182i \(-0.306685\pi\)
−0.425832 + 0.904802i \(0.640019\pi\)
\(602\) 5.72350 + 13.0710i 0.233272 + 0.532734i
\(603\) 7.40548 6.44948i 0.301574 0.262643i
\(604\) 2.94889 + 1.70254i 0.119989 + 0.0692754i
\(605\) 10.9513i 0.445232i
\(606\) −1.07505 + 0.767577i −0.0436711 + 0.0311807i
\(607\) 3.85144 + 2.22363i 0.156325 + 0.0902543i 0.576122 0.817364i \(-0.304565\pi\)
−0.419797 + 0.907618i \(0.637899\pi\)
\(608\) 0.662420 1.14734i 0.0268647 0.0465310i
\(609\) 7.56854 12.6832i 0.306693 0.513950i
\(610\) −25.3757 −1.02743
\(611\) −2.93363 + 0.484339i −0.118682 + 0.0195942i
\(612\) −8.99343 + 1.75675i −0.363538 + 0.0710125i
\(613\) −5.04378 + 2.91203i −0.203716 + 0.117616i −0.598388 0.801207i \(-0.704192\pi\)
0.394671 + 0.918822i \(0.370858\pi\)
\(614\) −0.994225 −0.0401237
\(615\) −2.33064 24.0882i −0.0939803 0.971330i
\(616\) 2.19757 + 5.01869i 0.0885426 + 0.202209i
\(617\) −16.4572 28.5046i −0.662540 1.14755i −0.979946 0.199263i \(-0.936145\pi\)
0.317406 0.948290i \(-0.397188\pi\)
\(618\) −13.7532 19.2624i −0.553233 0.774848i
\(619\) −13.6240 + 23.5975i −0.547595 + 0.948463i 0.450843 + 0.892603i \(0.351123\pi\)
−0.998439 + 0.0558598i \(0.982210\pi\)
\(620\) 10.7169i 0.430403i
\(621\) −30.4226 + 9.05735i −1.22082 + 0.363459i
\(622\) −0.596522 + 1.03321i −0.0239183 + 0.0414278i
\(623\) 0.314104 2.82143i 0.0125843 0.113038i
\(624\) 1.62671 6.02941i 0.0651206 0.241370i
\(625\) 3.92265 + 6.79423i 0.156906 + 0.271769i
\(626\) 22.7854 13.1551i 0.910687 0.525786i
\(627\) 0.457617 + 4.72968i 0.0182754 + 0.188885i
\(628\) −16.4481 9.49631i −0.656350 0.378944i
\(629\) 24.2459i 0.966746i
\(630\) −10.6472 + 7.37253i −0.424193 + 0.293729i
\(631\) 1.34761 0.778043i 0.0536475 0.0309734i −0.472936 0.881097i \(-0.656806\pi\)
0.526584 + 0.850123i \(0.323473\pi\)
\(632\) −3.24657 5.62322i −0.129142 0.223680i
\(633\) −0.418418 0.190451i −0.0166306 0.00756976i
\(634\) 11.3370 + 19.6363i 0.450251 + 0.779858i
\(635\) 5.55641i 0.220499i
\(636\) −7.67021 + 16.8513i −0.304144 + 0.668198i
\(637\) −21.0876 13.8678i −0.835520 0.549461i
\(638\) 6.67415i 0.264232i
\(639\) 18.0959 + 20.7782i 0.715863 + 0.821974i
\(640\) 1.41302 0.815806i 0.0558544 0.0322476i
\(641\) 26.4241i 1.04369i 0.853041 + 0.521844i \(0.174756\pi\)
−0.853041 + 0.521844i \(0.825244\pi\)
\(642\) 15.7412 1.52302i 0.621254 0.0601090i
\(643\) 18.5300 + 32.0948i 0.730751 + 1.26570i 0.956563 + 0.291526i \(0.0941631\pi\)
−0.225812 + 0.974171i \(0.572504\pi\)
\(644\) 1.78827 16.0631i 0.0704678 0.632975i
\(645\) −6.31415 + 13.8721i −0.248620 + 0.546213i
\(646\) 2.02334 3.50453i 0.0796073 0.137884i
\(647\) −18.7660 32.5037i −0.737769 1.27785i −0.953498 0.301401i \(-0.902546\pi\)
0.215728 0.976453i \(-0.430788\pi\)
\(648\) 8.33842 3.38684i 0.327564 0.133048i
\(649\) 24.3842 14.0782i 0.957165 0.552619i
\(650\) 6.51587 5.34742i 0.255573 0.209743i
\(651\) −25.8475 15.4241i −1.01304 0.604520i
\(652\) −0.971853 0.561100i −0.0380607 0.0219744i
\(653\) 42.7824i 1.67421i −0.547045 0.837103i \(-0.684248\pi\)
0.547045 0.837103i \(-0.315752\pi\)
\(654\) −11.9410 + 26.2343i −0.466932 + 1.02584i
\(655\) 14.4651 + 8.35142i 0.565198 + 0.326317i
\(656\) −7.41619 4.28174i −0.289553 0.167174i
\(657\) −2.79779 + 8.14978i −0.109152 + 0.317953i
\(658\) 1.99863 0.875154i 0.0779146 0.0341170i
\(659\) 28.1909 16.2760i 1.09816 0.634024i 0.162425 0.986721i \(-0.448068\pi\)
0.935738 + 0.352696i \(0.114735\pi\)
\(660\) −2.42436 + 5.32627i −0.0943679 + 0.207325i
\(661\) −10.1442 17.5703i −0.394565 0.683406i 0.598481 0.801137i \(-0.295771\pi\)
−0.993046 + 0.117731i \(0.962438\pi\)
\(662\) 4.44504 + 2.56635i 0.172762 + 0.0997439i
\(663\) 4.96874 18.4167i 0.192970 0.715243i
\(664\) 6.85946i 0.266199i
\(665\) 0.632789 5.68401i 0.0245385 0.220416i
\(666\) −4.56538 23.3718i −0.176905 0.905638i
\(667\) −9.84443 + 17.0511i −0.381178 + 0.660219i
\(668\) 1.05294 + 0.607914i 0.0407394 + 0.0235209i
\(669\) 15.8875 + 7.23153i 0.614248 + 0.279587i
\(670\) −2.67047 + 4.62539i −0.103169 + 0.178694i
\(671\) 32.2056i 1.24328i
\(672\) −0.0660664 + 4.58210i −0.00254857 + 0.176758i
\(673\) −11.3708 + 19.6948i −0.438312 + 0.759179i −0.997559 0.0698219i \(-0.977757\pi\)
0.559247 + 0.829001i \(0.311090\pi\)
\(674\) 8.20935 0.316212
\(675\) 11.8160 + 2.81951i 0.454800 + 0.108523i
\(676\) 9.77389 + 8.57153i 0.375919 + 0.329674i
\(677\) 16.2207 + 28.0950i 0.623412 + 1.07978i 0.988846 + 0.148943i \(0.0475872\pi\)
−0.365434 + 0.930837i \(0.619079\pi\)
\(678\) 9.11281 + 12.7632i 0.349975 + 0.490169i
\(679\) −9.73281 22.2272i −0.373511 0.853003i
\(680\) 4.31602 2.49186i 0.165512 0.0955583i
\(681\) 19.7219 1.90817i 0.755744 0.0731214i
\(682\) −13.6014 −0.520826
\(683\) −7.19406 −0.275273 −0.137637 0.990483i \(-0.543951\pi\)
−0.137637 + 0.990483i \(0.543951\pi\)
\(684\) −1.29051 + 3.75917i −0.0493440 + 0.143736i
\(685\) 5.22037 3.01398i 0.199460 0.115158i
\(686\) 17.5052 + 6.04714i 0.668352 + 0.230881i
\(687\) −13.3826 + 9.55500i −0.510577 + 0.364546i
\(688\) 2.69662 + 4.67069i 0.102808 + 0.178068i
\(689\) −24.4505 29.7932i −0.931491 1.13503i
\(690\) 14.0500 10.0315i 0.534874 0.381894i
\(691\) 26.0372 0.990503 0.495252 0.868750i \(-0.335076\pi\)
0.495252 + 0.868750i \(0.335076\pi\)
\(692\) −9.60871 + 16.6428i −0.365268 + 0.632664i
\(693\) −9.35688 13.5129i −0.355438 0.513311i
\(694\) 10.7152i 0.406745i
\(695\) 11.1756 19.3566i 0.423913 0.734239i
\(696\) 2.31267 5.08089i 0.0876614 0.192591i
\(697\) −22.6525 13.0784i −0.858025 0.495381i
\(698\) 2.23834 3.87693i 0.0847226 0.146744i
\(699\) −4.53501 6.35166i −0.171530 0.240242i
\(700\) −3.66637 + 4.98159i −0.138576 + 0.188286i
\(701\) 26.3672i 0.995877i 0.867212 + 0.497938i \(0.165909\pi\)
−0.867212 + 0.497938i \(0.834091\pi\)
\(702\) −1.32185 + 18.6883i −0.0498900 + 0.705345i
\(703\) 9.10743 + 5.25818i 0.343493 + 0.198316i
\(704\) 1.03538 + 1.79334i 0.0390225 + 0.0675889i
\(705\) 2.12112 + 0.965468i 0.0798859 + 0.0363616i
\(706\) −15.5607 + 8.98395i −0.585633 + 0.338116i
\(707\) 0.809353 + 1.84835i 0.0304389 + 0.0695145i
\(708\) 23.4415 2.26806i 0.880984 0.0852389i
\(709\) −24.4953 14.1424i −0.919940 0.531127i −0.0363238 0.999340i \(-0.511565\pi\)
−0.883616 + 0.468213i \(0.844898\pi\)
\(710\) −12.9779 7.49278i −0.487051 0.281199i
\(711\) 12.7932 + 14.6895i 0.479782 + 0.550900i
\(712\) 1.07299i 0.0402119i
\(713\) 34.7488 + 20.0622i 1.30135 + 0.751337i
\(714\) −0.201798 + 13.9959i −0.00755209 + 0.523783i
\(715\) −7.72819 9.41685i −0.289018 0.352170i
\(716\) −14.3720 + 8.29766i −0.537105 + 0.310098i
\(717\) 2.90032 + 29.9762i 0.108315 + 1.11948i
\(718\) −2.59460 4.49398i −0.0968295 0.167714i
\(719\) 9.30194 16.1114i 0.346904 0.600855i −0.638794 0.769378i \(-0.720566\pi\)
0.985698 + 0.168523i \(0.0538997\pi\)
\(720\) −3.69122 + 3.21471i −0.137564 + 0.119805i
\(721\) −33.1181 + 14.5017i −1.23338 + 0.540071i
\(722\) 8.62240 + 14.9344i 0.320893 + 0.555802i
\(723\) −0.238333 2.46329i −0.00886372 0.0916106i
\(724\) 21.1467i 0.785910i
\(725\) 6.52545 3.76747i 0.242349 0.139920i
\(726\) 10.5809 + 4.81610i 0.392693 + 0.178742i
\(727\) 48.9063i 1.81383i 0.421309 + 0.906917i \(0.361571\pi\)
−0.421309 + 0.906917i \(0.638429\pi\)
\(728\) −8.50136 4.32746i −0.315081 0.160386i
\(729\) −22.6034 + 14.7678i −0.837161 + 0.546956i
\(730\) 4.68634i 0.173449i
\(731\) 8.23675 + 14.2665i 0.304647 + 0.527664i
\(732\) 11.1596 24.5174i 0.412471 0.906191i
\(733\) 0.276176 + 0.478352i 0.0102008 + 0.0176683i 0.871081 0.491140i \(-0.163420\pi\)
−0.860880 + 0.508808i \(0.830086\pi\)
\(734\) 14.2733 8.24067i 0.526836 0.304169i
\(735\) 7.67277 + 18.2337i 0.283014 + 0.672558i
\(736\) 6.10879i 0.225173i
\(737\) −5.87032 3.38923i −0.216236 0.124844i
\(738\) 24.2985 + 8.34159i 0.894439 + 0.307058i
\(739\) 27.9938 16.1622i 1.02977 0.594537i 0.112850 0.993612i \(-0.464002\pi\)
0.916918 + 0.399075i \(0.130669\pi\)
\(740\) 6.47574 + 11.2163i 0.238053 + 0.412320i
\(741\) −5.84025 5.86040i −0.214547 0.215287i
\(742\) 22.7778 + 16.7641i 0.836200 + 0.615430i
\(743\) 19.1716 33.2062i 0.703339 1.21822i −0.263949 0.964537i \(-0.585025\pi\)
0.967288 0.253682i \(-0.0816416\pi\)
\(744\) −10.3545 4.71305i −0.379614 0.172789i
\(745\) 31.5608i 1.15630i
\(746\) −17.7937 + 30.8197i −0.651475 + 1.12839i
\(747\) 3.94516 + 20.1967i 0.144346 + 0.738957i
\(748\) 3.16255 + 5.47769i 0.115634 + 0.200284i
\(749\) 2.67287 24.0090i 0.0976645 0.877269i
\(750\) −20.6406 + 1.99707i −0.753689 + 0.0729226i
\(751\) −14.1947 −0.517973 −0.258986 0.965881i \(-0.583388\pi\)
−0.258986 + 0.965881i \(0.583388\pi\)
\(752\) 0.714173 0.412328i 0.0260432 0.0150361i
\(753\) 9.58160 6.84115i 0.349173 0.249305i
\(754\) 7.37216 + 8.98303i 0.268478 + 0.327143i
\(755\) 5.55578 0.202195
\(756\) −2.44083 13.5293i −0.0887722 0.492056i
\(757\) −16.0710 + 27.8358i −0.584111 + 1.01171i 0.410875 + 0.911692i \(0.365223\pi\)
−0.994986 + 0.100018i \(0.968110\pi\)
\(758\) 25.3582 + 14.6406i 0.921051 + 0.531769i
\(759\) 12.7316 + 17.8316i 0.462127 + 0.647246i
\(760\) 2.16163i 0.0784104i
\(761\) −4.03145 2.32756i −0.146140 0.0843740i 0.425147 0.905124i \(-0.360222\pi\)
−0.571287 + 0.820750i \(0.693556\pi\)
\(762\) 5.36848 + 2.44357i 0.194480 + 0.0885213i
\(763\) 35.4607 + 26.0985i 1.28376 + 0.944828i
\(764\) 5.67581 + 3.27693i 0.205344 + 0.118555i
\(765\) −11.2747 + 9.81922i −0.407638 + 0.355015i
\(766\) −8.78316 5.07096i −0.317348 0.183221i
\(767\) −17.2692 + 45.8829i −0.623554 + 1.65674i
\(768\) 0.166804 + 1.72400i 0.00601903 + 0.0622095i
\(769\) −20.9476 + 36.2823i −0.755389 + 1.30837i 0.189792 + 0.981824i \(0.439219\pi\)
−0.945181 + 0.326548i \(0.894115\pi\)
\(770\) 7.19948 + 5.29870i 0.259451 + 0.190952i
\(771\) 2.36037 + 24.3955i 0.0850065 + 0.878582i
\(772\) −8.61135 + 4.97176i −0.309929 + 0.178938i
\(773\) 48.7888i 1.75481i −0.479749 0.877406i \(-0.659272\pi\)
0.479749 0.877406i \(-0.340728\pi\)
\(774\) −10.6261 12.2012i −0.381948 &minus