Properties

Label 546.2.bi.e.257.2
Level $546$
Weight $2$
Character 546.257
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 257.2
Character \(\chi\) \(=\) 546.257
Dual form 546.2.bi.e.17.2

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000 q^{2} +(-1.40963 + 1.00646i) q^{3} +1.00000 q^{4} +(-1.41302 - 0.815806i) q^{5} +(1.40963 - 1.00646i) q^{6} +(2.62951 - 0.292738i) q^{7} -1.00000 q^{8} +(0.974089 - 2.83745i) q^{9} +O(q^{10})\) \(q-1.00000 q^{2} +(-1.40963 + 1.00646i) q^{3} +1.00000 q^{4} +(-1.41302 - 0.815806i) q^{5} +(1.40963 - 1.00646i) q^{6} +(2.62951 - 0.292738i) q^{7} -1.00000 q^{8} +(0.974089 - 2.83745i) q^{9} +(1.41302 + 0.815806i) q^{10} +(-1.03538 + 1.79334i) q^{11} +(-1.40963 + 1.00646i) q^{12} +(-3.37445 + 1.27006i) q^{13} +(-2.62951 + 0.292738i) q^{14} +(2.81290 - 0.272160i) q^{15} +1.00000 q^{16} -3.05447 q^{17} +(-0.974089 + 2.83745i) q^{18} +(0.662420 + 1.14734i) q^{19} +(-1.41302 - 0.815806i) q^{20} +(-3.41199 + 3.05914i) q^{21} +(1.03538 - 1.79334i) q^{22} -6.10879i q^{23} +(1.40963 - 1.00646i) 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} +(-2.81290 + 0.272160i) q^{30} +(-3.28416 - 5.68833i) q^{31} -1.00000 q^{32} +(-0.345413 - 3.57000i) q^{33} +3.05447 q^{34} +(-3.95436 - 1.73152i) q^{35} +(0.974089 - 2.83745i) q^{36} -7.93783i q^{37} +(-0.662420 - 1.14734i) q^{38} +(3.47846 - 5.18655i) q^{39} +(1.41302 + 0.815806i) q^{40} +(7.41619 - 4.28174i) q^{41} +(3.41199 - 3.05914i) 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} +(-1.40963 + 1.00646i) q^{48} +(6.82861 - 1.53951i) q^{49} +(1.16892 + 2.02463i) q^{50} +(4.30566 - 3.07419i) 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} +(2.81290 - 0.272160i) q^{60} +(-13.4689 + 7.77625i) q^{61} +(3.28416 + 5.68833i) q^{62} +(1.73074 - 7.74626i) q^{63} +1.00000 q^{64} +(5.80429 + 0.958282i) q^{65} +(0.345413 + 3.57000i) q^{66} +(-2.83485 - 1.63670i) q^{67} -3.05447 q^{68} +(6.14824 + 8.61111i) q^{69} +(3.95436 + 1.73152i) q^{70} +(4.59225 - 7.95402i) q^{71} +(-0.974089 + 2.83745i) 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} +(-3.47846 + 5.18655i) q^{78} +(-3.24657 + 5.62322i) q^{79} +(-1.41302 - 0.815806i) q^{80} +(-7.10230 - 5.52787i) q^{81} +(-7.41619 + 4.28174i) q^{82} -6.85946i q^{83} +(-3.41199 + 3.05914i) 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} +(1.40963 - 1.00646i) q^{96} +(-4.58560 + 7.94250i) q^{97} +(-6.82861 + 1.53951i) q^{98} +(4.07996 + 4.68472i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + O(q^{10}) \) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + 9q^{10} - 9q^{11} + 3q^{12} + 8q^{13} - 4q^{14} - 4q^{15} + 34q^{16} - 12q^{17} + 11q^{18} - 5q^{19} - 9q^{20} + 4q^{21} + 9q^{22} - 3q^{24} + 16q^{25} - 8q^{26} + 18q^{27} + 4q^{28} - 27q^{29} + 4q^{30} - q^{31} - 34q^{32} + 21q^{33} + 12q^{34} + 3q^{35} - 11q^{36} + 5q^{38} + 7q^{39} + 9q^{40} + 3q^{41} - 4q^{42} - 3q^{43} - 9q^{44} + 9q^{45} + 27q^{47} + 3q^{48} - 2q^{49} - 16q^{50} + 24q^{51} + 8q^{52} + 21q^{53} - 18q^{54} - 57q^{55} - 4q^{56} + 17q^{57} + 27q^{58} - 4q^{60} - 51q^{61} + q^{62} + 3q^{63} + 34q^{64} + 21q^{65} - 21q^{66} - 21q^{67} - 12q^{68} + 42q^{69} - 3q^{70} + 15q^{71} + 11q^{72} - 19q^{73} + 54q^{75} - 5q^{76} - 9q^{77} - 7q^{78} - 9q^{79} - 9q^{80} - 23q^{81} - 3q^{82} + 4q^{84} - 42q^{85} + 3q^{86} + 81q^{87} + 9q^{88} - 9q^{90} - 72q^{91} + 17q^{93} - 27q^{94} - 3q^{96} + 19q^{97} + 2q^{98} + 27q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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
\(3\) −1.40963 + 1.00646i −0.813848 + 0.581078i
\(4\) 1.00000 0.500000
\(5\) −1.41302 0.815806i −0.631921 0.364840i 0.149575 0.988750i \(-0.452210\pi\)
−0.781496 + 0.623911i \(0.785543\pi\)
\(6\) 1.40963 1.00646i 0.575477 0.410884i
\(7\) 2.62951 0.292738i 0.993860 0.110644i
\(8\) −1.00000 −0.353553
\(9\) 0.974089 2.83745i 0.324696 0.945818i
\(10\) 1.41302 + 0.815806i 0.446836 + 0.257981i
\(11\) −1.03538 + 1.79334i −0.312180 + 0.540711i −0.978834 0.204656i \(-0.934392\pi\)
0.666654 + 0.745367i \(0.267726\pi\)
\(12\) −1.40963 + 1.00646i −0.406924 + 0.290539i
\(13\) −3.37445 + 1.27006i −0.935905 + 0.352252i
\(14\) −2.62951 + 0.292738i −0.702765 + 0.0782374i
\(15\) 2.81290 0.272160i 0.726288 0.0702714i
\(16\) 1.00000 0.250000
\(17\) −3.05447 −0.740818 −0.370409 0.928869i \(-0.620782\pi\)
−0.370409 + 0.928869i \(0.620782\pi\)
\(18\) −0.974089 + 2.83745i −0.229595 + 0.668795i
\(19\) 0.662420 + 1.14734i 0.151970 + 0.263219i 0.931951 0.362583i \(-0.118105\pi\)
−0.779982 + 0.625802i \(0.784772\pi\)
\(20\) −1.41302 0.815806i −0.315960 0.182420i
\(21\) −3.41199 + 3.05914i −0.744558 + 0.667558i
\(22\) 1.03538 1.79334i 0.220744 0.382341i
\(23\) 6.10879i 1.27377i −0.770958 0.636886i \(-0.780222\pi\)
0.770958 0.636886i \(-0.219778\pi\)
\(24\) 1.40963 1.00646i 0.287739 0.205442i
\(25\) −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 \(-0.569930\pi\)
0.736246 + 0.676714i \(0.236596\pi\)
\(30\) −2.81290 + 0.272160i −0.513563 + 0.0496894i
\(31\) −3.28416 5.68833i −0.589852 1.02165i −0.994251 0.107071i \(-0.965853\pi\)
0.404399 0.914583i \(-0.367481\pi\)
\(32\) −1.00000 −0.176777
\(33\) −0.345413 3.57000i −0.0601287 0.621458i
\(34\) 3.05447 0.523837
\(35\) −3.95436 1.73152i −0.668408 0.292681i
\(36\) 0.974089 2.83745i 0.162348 0.472909i
\(37\) 7.93783i 1.30497i −0.757801 0.652486i \(-0.773726\pi\)
0.757801 0.652486i \(-0.226274\pi\)
\(38\) −0.662420 1.14734i −0.107459 0.186124i
\(39\) 3.47846 5.18655i 0.556999 0.830513i
\(40\) 1.41302 + 0.815806i 0.223418 + 0.128990i
\(41\) 7.41619 4.28174i 1.15821 0.668695i 0.207339 0.978269i \(-0.433520\pi\)
0.950875 + 0.309574i \(0.100186\pi\)
\(42\) 3.41199 3.05914i 0.526482 0.472035i
\(43\) 2.69662 4.67069i 0.411231 0.712273i −0.583794 0.811902i \(-0.698432\pi\)
0.995025 + 0.0996291i \(0.0317656\pi\)
\(44\) −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 \(-0.352489\pi\)
−0.551181 + 0.834386i \(0.685823\pi\)
\(48\) −1.40963 + 1.00646i −0.203462 + 0.145270i
\(49\) 6.82861 1.53951i 0.975516 0.219930i
\(50\) 1.16892 + 2.02463i 0.165310 + 0.286326i
\(51\) 4.30566 3.07419i 0.602913 0.430473i
\(52\) −3.37445 + 1.27006i −0.467953 + 0.176126i
\(53\) −9.25742 + 5.34477i −1.27160 + 0.734161i −0.975290 0.220930i \(-0.929091\pi\)
−0.296314 + 0.955091i \(0.595758\pi\)
\(54\) −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 \(-0.345909\pi\)
\(60\) 2.81290 0.272160i 0.363144 0.0351357i
\(61\) −13.4689 + 7.77625i −1.72451 + 0.995647i −0.815654 + 0.578540i \(0.803623\pi\)
−0.908857 + 0.417107i \(0.863044\pi\)
\(62\) 3.28416 + 5.68833i 0.417088 + 0.722418i
\(63\) 1.73074 7.74626i 0.218053 0.975937i
\(64\) 1.00000 0.125000
\(65\) 5.80429 + 0.958282i 0.719934 + 0.118860i
\(66\) 0.345413 + 3.57000i 0.0425174 + 0.439437i
\(67\) −2.83485 1.63670i −0.346333 0.199955i 0.316736 0.948514i \(-0.397413\pi\)
−0.663069 + 0.748558i \(0.730746\pi\)
\(68\) −3.05447 −0.370409
\(69\) 6.14824 + 8.61111i 0.740161 + 1.03666i
\(70\) 3.95436 + 1.73152i 0.472636 + 0.206957i
\(71\) 4.59225 7.95402i 0.545000 0.943968i −0.453607 0.891202i \(-0.649863\pi\)
0.998607 0.0527663i \(-0.0168038\pi\)
\(72\) −0.974089 + 2.83745i −0.114798 + 0.334397i
\(73\) 1.43611 + 2.48741i 0.168084 + 0.291129i 0.937746 0.347322i \(-0.112909\pi\)
−0.769662 + 0.638451i \(0.779575\pi\)
\(74\) 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
\(78\) −3.47846 + 5.18655i −0.393858 + 0.587262i
\(79\) −3.24657 + 5.62322i −0.365268 + 0.632662i −0.988819 0.149120i \(-0.952356\pi\)
0.623551 + 0.781782i \(0.285689\pi\)
\(80\) −1.41302 0.815806i −0.157980 0.0912099i
\(81\) −7.10230 5.52787i −0.789144 0.614208i
\(82\) −7.41619 + 4.28174i −0.818981 + 0.472839i
\(83\) 6.85946i 0.752924i −0.926432 0.376462i \(-0.877141\pi\)
0.926432 0.376462i \(-0.122859\pi\)
\(84\) −3.41199 + 3.05914i −0.372279 + 0.333779i
\(85\) 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
\(96\) 1.40963 1.00646i 0.143869 0.102721i
\(97\) −4.58560 + 7.94250i −0.465598 + 0.806439i −0.999228 0.0392790i \(-0.987494\pi\)
0.533631 + 0.845718i \(0.320827\pi\)
\(98\) −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 \(-0.845414\pi\)
0.846430 + 0.532500i \(0.178747\pi\)
\(102\) −4.30566 + 3.07419i −0.426324 + 0.304390i
\(103\) −11.8342 6.83246i −1.16606 0.673222i −0.213307 0.976985i \(-0.568424\pi\)
−0.952748 + 0.303763i \(0.901757\pi\)
\(104\) 3.37445 1.27006i 0.330893 0.124540i
\(105\) 7.31687 1.53909i 0.714053 0.150200i
\(106\) 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 0.388211 0.921570i \(-0.373093\pi\)
0.992209 + 0.124584i \(0.0397597\pi\)
\(110\) −2.92603 + 1.68934i −0.278986 + 0.161073i
\(111\) 7.98909 + 11.1894i 0.758291 + 1.06205i
\(112\) 2.62951 0.292738i 0.248465 0.0276611i
\(113\) −7.84130 4.52717i −0.737647 0.425881i 0.0835662 0.996502i \(-0.473369\pi\)
−0.821213 + 0.570622i \(0.806702\pi\)
\(114\) 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
\(117\) 0.316722 + 10.8120i 0.0292809 + 0.999571i
\(118\) 13.5971i 1.25172i
\(119\) −8.03175 + 0.894158i −0.736269 + 0.0819673i
\(120\) −2.81290 + 0.272160i −0.256782 + 0.0248447i
\(121\) 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
\(126\) −1.73074 + 7.74626i −0.154187 + 0.690092i
\(127\) 1.70273 + 2.94922i 0.151093 + 0.261701i 0.931630 0.363409i \(-0.118387\pi\)
−0.780536 + 0.625110i \(0.785054\pi\)
\(128\) −1.00000 −0.0883883
\(129\) 0.899616 + 9.29795i 0.0792068 + 0.818639i
\(130\) −5.80429 0.958282i −0.509070 0.0840469i
\(131\) −5.11851 + 8.86551i −0.447206 + 0.774584i −0.998203 0.0599237i \(-0.980914\pi\)
0.550997 + 0.834507i \(0.314248\pi\)
\(132\) −0.345413 3.57000i −0.0300643 0.310729i
\(133\) 2.07771 + 2.82304i 0.180160 + 0.244788i
\(134\) 2.83485 + 1.63670i 0.244894 + 0.141390i
\(135\) 1.96777 8.24659i 0.169359 0.709753i
\(136\) 3.05447 0.261919
\(137\) −3.69448 −0.315641 −0.157820 0.987468i \(-0.550447\pi\)
−0.157820 + 0.987468i \(0.550447\pi\)
\(138\) −6.14824 8.61111i −0.523373 0.733027i
\(139\) 11.8635 + 6.84939i 1.00625 + 0.580958i 0.910091 0.414408i \(-0.136011\pi\)
0.0961575 + 0.995366i \(0.469345\pi\)
\(140\) −3.95436 1.73152i −0.334204 0.146341i
\(141\) 1.42171 0.137556i 0.119729 0.0115843i
\(142\) −4.59225 + 7.95402i −0.385373 + 0.667486i
\(143\) 1.21621 7.36653i 0.101704 0.616020i
\(144\) 0.974089 2.83745i 0.0811741 0.236455i
\(145\) −5.25875 −0.436715
\(146\) −1.43611 2.48741i −0.118853 0.205860i
\(147\) −8.07633 + 9.04283i −0.666125 + 0.745840i
\(148\) 7.93783i 0.652486i
\(149\) 9.67165 + 16.7518i 0.792332 + 1.37236i 0.924519 + 0.381135i \(0.124467\pi\)
−0.132187 + 0.991225i \(0.542200\pi\)
\(150\) −3.68544 1.67750i −0.300915 0.136967i
\(151\) 2.94889 1.70254i 0.239977 0.138551i −0.375189 0.926948i \(-0.622422\pi\)
0.615166 + 0.788397i \(0.289089\pi\)
\(152\) −0.662420 1.14734i −0.0537293 0.0930619i
\(153\) −2.97533 + 8.66692i −0.240541 + 0.700679i
\(154\) 2.19757 5.01869i 0.177085 0.404417i
\(155\) 10.7169i 0.860806i
\(156\) 3.47846 5.18655i 0.278499 0.415257i
\(157\) −16.4481 + 9.49631i −1.31270 + 0.757888i −0.982543 0.186038i \(-0.940435\pi\)
−0.330158 + 0.943926i \(0.607102\pi\)
\(158\) 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
\(162\) 7.10230 + 5.52787i 0.558009 + 0.434310i
\(163\) −0.971853 + 0.561100i −0.0761214 + 0.0439487i −0.537578 0.843214i \(-0.680660\pi\)
0.461456 + 0.887163i \(0.347327\pi\)
\(164\) 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 \(-0.681646\pi\)
0.458707 + 0.888588i \(0.348313\pi\)
\(168\) 3.41199 3.05914i 0.263241 0.236017i
\(169\) 9.77389 8.57153i 0.751838 0.659348i
\(170\) −4.31602 2.49186i −0.331024 0.191117i
\(171\) 3.90080 0.761970i 0.298301 0.0582693i
\(172\) 2.69662 4.67069i 0.205615 0.356136i
\(173\) 9.60871 + 16.6428i 0.730537 + 1.26533i 0.956654 + 0.291227i \(0.0940635\pi\)
−0.226117 + 0.974100i \(0.572603\pi\)
\(174\) 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
\(177\) 13.6849 + 19.1669i 1.02862 + 1.44067i
\(178\) 1.07299i 0.0804238i
\(179\) 14.3720 + 8.29766i 1.07421 + 0.620196i 0.929329 0.369253i \(-0.120386\pi\)
0.144882 + 0.989449i \(0.453720\pi\)
\(180\) −3.69122 + 3.21471i −0.275127 + 0.239610i
\(181\) 21.1467i 1.57182i −0.618341 0.785910i \(-0.712195\pi\)
0.618341 0.785910i \(-0.287805\pi\)
\(182\) 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
\(189\) 5.35657 + 12.6612i 0.389633 + 0.920970i
\(190\) 2.16163i 0.156821i
\(191\) −5.67581 + 3.27693i −0.410687 + 0.237110i −0.691085 0.722774i \(-0.742867\pi\)
0.280398 + 0.959884i \(0.409534\pi\)
\(192\) −1.40963 + 1.00646i −0.101731 + 0.0726348i
\(193\) −8.61135 4.97176i −0.619858 0.357875i 0.156956 0.987606i \(-0.449832\pi\)
−0.776814 + 0.629730i \(0.783165\pi\)
\(194\) 4.58560 7.94250i 0.329227 0.570238i
\(195\) −9.14635 + 4.49095i −0.654983 + 0.321603i
\(196\) 6.82861 1.53951i 0.487758 0.109965i
\(197\) −0.185155 0.320698i −0.0131918 0.0228488i 0.859354 0.511381i \(-0.170866\pi\)
−0.872546 + 0.488532i \(0.837533\pi\)
\(198\) −4.07996 4.68472i −0.289950 0.332929i
\(199\) 16.8878i 1.19714i −0.801069 0.598572i \(-0.795735\pi\)
0.801069 0.598572i \(-0.204265\pi\)
\(200\) 1.16892 + 2.02463i 0.0826551 + 0.143163i
\(201\) 5.64336 0.546019i 0.398052 0.0385132i
\(202\) 0.381326 0.660476i 0.0268300 0.0464709i
\(203\) 6.86781 5.05459i 0.482026 0.354763i
\(204\) 4.30566 3.07419i 0.301456 0.215236i
\(205\) −13.9723 −0.975866
\(206\) 11.8342 + 6.83246i 0.824525 + 0.476040i
\(207\) −17.3334 5.95051i −1.20476 0.413589i
\(208\) −3.37445 + 1.27006i −0.233976 + 0.0880629i
\(209\) −2.74343 −0.189767
\(210\) −7.31687 + 1.53909i −0.504912 + 0.106207i
\(211\) −0.132711 0.229862i −0.00913618 0.0158243i 0.861421 0.507891i \(-0.169575\pi\)
−0.870557 + 0.492067i \(0.836242\pi\)
\(212\) −9.25742 + 5.34477i −0.635802 + 0.367080i
\(213\) 1.53202 + 15.8341i 0.104972 + 1.08493i
\(214\) 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
\(222\) −7.98909 11.1894i −0.536192 0.750982i
\(223\) 5.03909 + 8.72796i 0.337442 + 0.584467i 0.983951 0.178439i \(-0.0571048\pi\)
−0.646508 + 0.762907i \(0.723771\pi\)
\(224\) −2.62951 + 0.292738i −0.175691 + 0.0195593i
\(225\) −6.88342 + 1.34459i −0.458895 + 0.0896392i
\(226\) 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 −0.665475 0.746420i \(-0.731771\pi\)
0.979156 + 0.203109i \(0.0651045\pi\)
\(230\) 4.98359 8.63184i 0.328608 0.569166i
\(231\) −1.95334 9.28623i −0.128520 0.610989i
\(232\) −2.79123 + 1.61152i −0.183253 + 0.105801i
\(233\) 3.90224 + 2.25296i 0.255644 + 0.147596i 0.622346 0.782742i \(-0.286180\pi\)
−0.366702 + 0.930339i \(0.619513\pi\)
\(234\) −0.316722 10.8120i −0.0207047 0.706804i
\(235\) 0.672760 + 1.16525i 0.0438860 + 0.0760128i
\(236\) 13.5971i 0.885098i
\(237\) −1.08308 11.1942i −0.0703539 0.727140i
\(238\) 8.03175 0.894158i 0.520621 0.0579596i
\(239\) −17.3876 −1.12471 −0.562354 0.826896i \(-0.690104\pi\)
−0.562354 + 0.826896i \(0.690104\pi\)
\(240\) 2.81290 0.272160i 0.181572 0.0175679i
\(241\) −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
\(243\) 15.5751 + 0.644067i 0.999146 + 0.0413169i
\(244\) −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
\(249\) 6.90375 + 9.66927i 0.437507 + 0.612765i
\(250\) 11.9725i 0.757208i
\(251\) 3.39863 5.88660i 0.214520 0.371559i −0.738604 0.674139i \(-0.764515\pi\)
0.953124 + 0.302580i \(0.0978480\pi\)
\(252\) 1.73074 7.74626i 0.109027 0.487968i
\(253\) 10.9551 + 6.32494i 0.688743 + 0.397646i
\(254\) −1.70273 2.94922i −0.106839 0.185051i
\(255\) −8.59192 + 0.831305i −0.538047 + 0.0520583i
\(256\) 1.00000 0.0625000
\(257\) −14.1505 −0.882684 −0.441342 0.897339i \(-0.645497\pi\)
−0.441342 + 0.897339i \(0.645497\pi\)
\(258\) −0.899616 9.29795i −0.0560077 0.578865i
\(259\) −2.32370 20.8726i −0.144388 1.29696i
\(260\) 5.80429 + 0.958282i 0.359967 + 0.0594301i
\(261\) −1.85370 9.48975i −0.114741 0.587401i
\(262\) 5.11851 8.86551i 0.316222 0.547713i
\(263\) 11.1426 + 6.43320i 0.687084 + 0.396688i 0.802519 0.596627i \(-0.203493\pi\)
−0.115435 + 0.993315i \(0.536826\pi\)
\(264\) 0.345413 + 3.57000i 0.0212587 + 0.219718i
\(265\) 17.4412 1.07140
\(266\) −2.07771 2.82304i −0.127392 0.173091i
\(267\) 1.07992 + 1.51251i 0.0660898 + 0.0925641i
\(268\) −2.83485 1.63670i −0.173166 0.0999776i
\(269\) −27.3543 −1.66782 −0.833909 0.551902i \(-0.813902\pi\)
−0.833909 + 0.551902i \(0.813902\pi\)
\(270\) −1.96777 + 8.24659i −0.119755 + 0.501871i
\(271\) −1.35557 −0.0823450 −0.0411725 0.999152i \(-0.513109\pi\)
−0.0411725 + 0.999152i \(0.513109\pi\)
\(272\) −3.05447 −0.185204
\(273\) 7.62832 14.6564i 0.461687 0.887043i
\(274\) 3.69448 0.223192
\(275\) 4.84112 0.291931
\(276\) 6.14824 + 8.61111i 0.370080 + 0.518328i
\(277\) −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
\(279\) −19.3394 + 3.77771i −1.15782 + 0.226166i
\(280\) 3.95436 + 1.73152i 0.236318 + 0.103478i
\(281\) −4.08136 −0.243474 −0.121737 0.992562i \(-0.538846\pi\)
−0.121737 + 0.992562i \(0.538846\pi\)
\(282\) −1.42171 + 0.137556i −0.0846614 + 0.00819135i
\(283\) −1.87345 1.08164i −0.111365 0.0642966i 0.443283 0.896382i \(-0.353814\pi\)
−0.554648 + 0.832085i \(0.687147\pi\)
\(284\) 4.59225 7.95402i 0.272500 0.471984i
\(285\) 2.17558 + 3.04708i 0.128870 + 0.180494i
\(286\) −1.21621 + 7.36653i −0.0719158 + 0.435592i
\(287\) 18.2475 13.4299i 1.07712 0.792739i
\(288\) −0.974089 + 2.83745i −0.0573988 + 0.167199i
\(289\) −7.67022 −0.451189
\(290\) 5.25875 0.308804
\(291\) −1.52980 15.8112i −0.0896783 0.926867i
\(292\) 1.43611 + 2.48741i 0.0840418 + 0.145565i
\(293\) 5.29149 + 3.05504i 0.309132 + 0.178478i 0.646538 0.762882i \(-0.276216\pi\)
−0.337406 + 0.941359i \(0.609549\pi\)
\(294\) 8.07633 9.04283i 0.471021 0.527389i
\(295\) −11.0926 + 19.2130i −0.645838 + 1.11862i
\(296\) 7.93783i 0.461377i
\(297\) −10.4662 2.49741i −0.607309 0.144914i
\(298\) −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
\(303\) −0.127214 1.31481i −0.00730824 0.0755340i
\(304\) 0.662420 + 1.14734i 0.0379924 + 0.0658047i
\(305\) 25.3757 1.45301
\(306\) 2.97533 8.66692i 0.170088 0.495455i
\(307\) −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
\(309\) 23.5583 2.27937i 1.34019 0.129669i
\(310\) 10.7169i 0.608682i
\(311\) 0.596522 + 1.03321i 0.0338256 + 0.0585877i 0.882443 0.470420i \(-0.155898\pi\)
−0.848617 + 0.529008i \(0.822564\pi\)
\(312\) −3.47846 + 5.18655i −0.196929 + 0.293631i
\(313\) 22.7854 + 13.1551i 1.28791 + 0.743573i 0.978280 0.207285i \(-0.0664629\pi\)
0.309626 + 0.950859i \(0.399796\pi\)
\(314\) 16.4481 9.49631i 0.928219 0.535908i
\(315\) −8.76502 + 9.53365i −0.493853 + 0.537160i
\(316\) −3.24657 + 5.62322i −0.182634 + 0.316331i
\(317\) −11.3370 + 19.6363i −0.636751 + 1.10289i 0.349390 + 0.936977i \(0.386389\pi\)
−0.986141 + 0.165908i \(0.946945\pi\)
\(318\) −7.67021 + 16.8513i −0.430124 + 0.944975i
\(319\) 6.67415i 0.373681i
\(320\) −1.41302 0.815806i −0.0789901 0.0456050i
\(321\) 9.18956 + 12.8707i 0.512911 + 0.718374i
\(322\) 1.78827 + 16.0631i 0.0996566 + 0.895162i
\(323\) −2.02334 3.50453i −0.112582 0.194997i
\(324\) −7.10230 5.52787i −0.394572 0.307104i
\(325\) 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 −0.372840 0.927896i \(-0.621616\pi\)
0.617161 + 0.786837i \(0.288283\pi\)
\(332\) 6.85946i 0.376462i
\(333\) −22.5232 7.73216i −1.23427 0.423720i
\(334\) 1.05294 0.607914i 0.0576142 0.0332636i
\(335\) 2.67047 + 4.62539i 0.145903 + 0.252712i
\(336\) −3.41199 + 3.05914i −0.186139 + 0.166890i
\(337\) 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
\(339\) 15.6097 1.51030i 0.847802 0.0820285i
\(340\) 4.31602 + 2.49186i 0.234069 + 0.135140i
\(341\) 13.6014 0.736560
\(342\) −3.90080 + 0.761970i −0.210931 + 0.0412026i
\(343\) 17.5052 6.04714i 0.945192 0.326515i
\(344\) −2.69662 + 4.67069i −0.145392 + 0.251827i
\(345\) −1.66257 17.1834i −0.0895098 0.925125i
\(346\) −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 0.919695 0.392634i \(-0.128436\pi\)
−0.799879 + 0.600162i \(0.795103\pi\)
\(350\) 3.66637 + 4.98159i 0.195976 + 0.266277i
\(351\) −11.3283 14.9221i −0.604659 0.796484i
\(352\) 1.03538 1.79334i 0.0551861 0.0955852i
\(353\) 15.5607 + 8.98395i 0.828211 + 0.478168i 0.853240 0.521519i \(-0.174634\pi\)
−0.0250291 + 0.999687i \(0.507968\pi\)
\(354\) −13.6849 19.1669i −0.727346 1.01871i
\(355\) −12.9779 + 7.49278i −0.688794 + 0.397676i
\(356\) 1.07299i 0.0568682i
\(357\) 10.4218 9.34403i 0.551581 0.494539i
\(358\) −14.3720 8.29766i −0.759582 0.438545i
\(359\) 2.59460 4.49398i 0.136938 0.237183i −0.789398 0.613881i \(-0.789607\pi\)
0.926336 + 0.376698i \(0.122941\pi\)
\(360\) 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 0.823906 0.566727i \(-0.191791\pi\)
−0.0788473 + 0.996887i \(0.525124\pi\)
\(368\) 6.10879i 0.318443i
\(369\) −4.92521 25.2139i −0.256396 1.31258i
\(370\) 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 −0.797368 0.603494i \(-0.793775\pi\)
−0.123957 0.992288i \(-0.539558\pi\)
\(374\) −3.16255 + 5.47769i −0.163531 + 0.283245i
\(375\) −12.0498 16.8768i −0.622250 0.871512i
\(376\) 0.714173 + 0.412328i 0.0368307 + 0.0212642i
\(377\) −7.37216 + 8.98303i −0.379685 + 0.462649i
\(378\) −5.35657 12.6612i −0.275512 0.651224i
\(379\) 25.3582 14.6406i 1.30256 0.752035i 0.321720 0.946835i \(-0.395739\pi\)
0.980843 + 0.194800i \(0.0624057\pi\)
\(380\) 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 \(-0.583236\pi\)
0.707323 + 0.706891i \(0.249903\pi\)
\(384\) 1.40963 1.00646i 0.0719347 0.0513605i
\(385\) 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 \(-0.913348\pi\)
−0.248734 + 0.968572i \(0.580015\pi\)
\(390\) 9.14635 4.49095i 0.463143 0.227408i
\(391\) 18.6591i 0.943632i
\(392\) −6.82861 + 1.53951i −0.344897 + 0.0777570i
\(393\) −1.70758 17.6486i −0.0861359 0.890255i
\(394\) 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 0.868769 0.495218i \(-0.164912\pi\)
−0.863256 + 0.504767i \(0.831579\pi\)
\(398\) 16.8878i 0.846509i
\(399\) −5.77005 1.88830i −0.288864 0.0945332i
\(400\) −1.16892 2.02463i −0.0584460 0.101231i
\(401\) 23.8650 1.19176 0.595882 0.803072i \(-0.296803\pi\)
0.595882 + 0.803072i \(0.296803\pi\)
\(402\) −5.64336 + 0.546019i −0.281465 + 0.0272329i
\(403\) 18.3068 + 15.0239i 0.911925 + 0.748395i
\(404\) −0.381326 + 0.660476i −0.0189717 + 0.0328599i
\(405\) 5.52601 + 13.6051i 0.274590 + 0.676042i
\(406\) −6.86781 + 5.05459i −0.340844 + 0.250855i
\(407\) 14.2352 + 8.21870i 0.705613 + 0.407386i
\(408\) −4.30566 + 3.07419i −0.213162 + 0.152195i
\(409\) 7.74689 0.383059 0.191529 0.981487i \(-0.438655\pi\)
0.191529 + 0.981487i \(0.438655\pi\)
\(410\) 13.9723 0.690042
\(411\) 5.20783 3.71833i 0.256883 0.183412i
\(412\) −11.8342 6.83246i −0.583028 0.336611i
\(413\) −3.98039 35.7537i −0.195862 1.75933i
\(414\) 17.3334 + 5.95051i 0.851891 + 0.292452i
\(415\) −5.59599 + 9.69254i −0.274696 + 0.475788i
\(416\) 3.37445 1.27006i 0.165446 0.0622699i
\(417\) −23.6167 + 2.28502i −1.15652 + 0.111898i
\(418\) 2.74343 0.134186
\(419\) −1.65804 2.87182i −0.0810008 0.140297i 0.822679 0.568506i \(-0.192478\pi\)
−0.903680 + 0.428208i \(0.859145\pi\)
\(420\) 7.31687 1.53909i 0.357027 0.0750998i
\(421\) 25.2793i 1.23204i −0.787731 0.616019i \(-0.788744\pi\)
0.787731 0.616019i \(-0.211256\pi\)
\(422\) 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
\(426\) −1.53202 15.8341i −0.0742264 0.767164i
\(427\) −33.1401 + 24.3905i −1.60376 + 1.18034i
\(428\) 9.13060i 0.441344i
\(429\) 5.69970 + 11.6081i 0.275184 + 0.560445i
\(430\) 7.62075 4.39984i 0.367505 0.212179i
\(431\) 12.4404 21.5475i 0.599235 1.03790i −0.393700 0.919239i \(-0.628805\pi\)
0.992934 0.118666i \(-0.0378617\pi\)
\(432\) 1.48267 + 4.98013i 0.0713352 + 0.239607i
\(433\) −17.2062 9.93398i −0.826875 0.477396i 0.0259066 0.999664i \(-0.491753\pi\)
−0.852781 + 0.522268i \(0.825086\pi\)
\(434\) 10.3009 + 13.9961i 0.494459 + 0.671834i
\(435\) 7.41286 5.29270i 0.355420 0.253766i
\(436\) 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 \(0.00995420\pi\)
−0.999511 + 0.0312670i \(0.990046\pi\)
\(440\) −2.92603 + 1.68934i −0.139493 + 0.0805363i
\(441\) 2.28338 20.8755i 0.108733 0.994071i
\(442\) −10.3072 + 3.87936i −0.490262 + 0.184522i
\(443\) 13.3621 + 7.71462i 0.634853 + 0.366533i 0.782629 0.622488i \(-0.213878\pi\)
−0.147776 + 0.989021i \(0.547211\pi\)
\(444\) 7.98909 + 11.1894i 0.379145 + 0.531024i
\(445\) −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 \(-0.993650\pi\)
0.517176 + 0.855879i \(0.326983\pi\)
\(450\) 6.88342 1.34459i 0.324488 0.0633845i
\(451\) 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 \(0.275022\pi\)
−0.649396 + 0.760450i \(0.724978\pi\)
\(458\) −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 \(-0.148906\pi\)
0.0557678 + 0.998444i \(0.482239\pi\)
\(462\) 1.95334 + 9.28623i 0.0908775 + 0.432034i
\(463\) 33.0233i 1.53472i 0.641214 + 0.767362i \(0.278431\pi\)
−0.641214 + 0.767362i \(0.721569\pi\)
\(464\) 2.79123 1.61152i 0.129580 0.0748128i
\(465\) −10.7861 15.1069i −0.500196 0.700565i
\(466\) −3.90224 2.25296i −0.180768 0.104366i
\(467\) −14.2621 + 24.7027i −0.659972 + 1.14310i 0.320651 + 0.947197i \(0.396098\pi\)
−0.980623 + 0.195907i \(0.937235\pi\)
\(468\) 0.316722 + 10.8120i 0.0146405 + 0.499786i
\(469\) −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
\(474\) 1.08308 + 11.1942i 0.0497477 + 0.514165i
\(475\) 1.54863 2.68231i 0.0710561 0.123073i
\(476\) −8.03175 + 0.894158i −0.368134 + 0.0409836i
\(477\) 6.14800 + 31.4738i 0.281498 + 1.44109i
\(478\) 17.3876 0.795289
\(479\) −30.2057 17.4393i −1.38013 0.796821i −0.387959 0.921677i \(-0.626820\pi\)
−0.992175 + 0.124856i \(0.960153\pi\)
\(480\) −2.81290 + 0.272160i −0.128391 + 0.0124224i
\(481\) 10.0815 + 26.7859i 0.459678 + 1.22133i
\(482\) 1.42882 0.0650810
\(483\) 18.6876 + 20.8432i 0.850316 + 0.948397i
\(484\) 3.35596 + 5.81270i 0.152544 + 0.264214i
\(485\) 12.9591 7.48193i 0.588442 0.339737i
\(486\) −15.5751 0.644067i −0.706503 0.0292155i
\(487\) 0.222477i 0.0100814i 0.999987 + 0.00504069i \(0.00160451\pi\)
−0.999987 + 0.00504069i \(0.998395\pi\)
\(488\) 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 \(-0.895101\pi\)
−0.192832 + 0.981232i \(0.561767\pi\)
\(492\) −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
\(495\) −1.94322 9.94805i −0.0873414 0.447132i
\(496\) −3.28416 5.68833i −0.147463 0.255413i
\(497\) 9.74692 22.2595i 0.437209 0.998474i
\(498\) −6.90375 9.66927i −0.309364 0.433290i
\(499\) 34.1625 + 19.7237i 1.52932 + 0.882954i 0.999390 + 0.0349141i \(0.0111158\pi\)
0.529932 + 0.848040i \(0.322218\pi\)
\(500\) 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 −0.308169 0.951332i \(-0.599716\pi\)
0.977962 0.208784i \(-0.0669505\pi\)
\(504\) −1.73074 + 7.74626i −0.0770935 + 0.345046i
\(505\) 1.07764 0.622177i 0.0479544 0.0276865i
\(506\) −10.9551 6.32494i −0.487015 0.281178i
\(507\) −5.15065 + 21.9196i −0.228748 + 0.973486i
\(508\) 1.70273 + 2.94922i 0.0755466 + 0.130851i
\(509\) 39.8865i 1.76794i −0.467546 0.883969i \(-0.654862\pi\)
0.467546 0.883969i \(-0.345138\pi\)
\(510\) 8.59192 0.831305i 0.380456 0.0368108i
\(511\) 4.50441 + 6.12026i 0.199263 + 0.270744i
\(512\) −1.00000 −0.0441942
\(513\) −4.73177 + 5.00007i −0.208913 + 0.220759i
\(514\) 14.1505 0.624152
\(515\) 11.1479 + 19.3088i 0.491236 + 0.850846i
\(516\) 0.899616 + 9.29795i 0.0396034 + 0.409320i
\(517\) 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 0.999978 + 0.00669760i \(0.00213193\pi\)
−0.494188 + 0.869355i \(0.664535\pi\)
\(522\) 1.85370 + 9.48975i 0.0811343 + 0.415355i
\(523\) 24.9466i 1.09084i −0.838163 0.545420i \(-0.816370\pi\)
0.838163 0.545420i \(-0.183630\pi\)
\(524\) −5.11851 + 8.86551i −0.223603 + 0.387292i
\(525\) 10.1820 + 3.33213i 0.444377 + 0.145426i
\(526\) −11.1426 6.43320i −0.485842 0.280501i
\(527\) 10.0314 + 17.3748i 0.436973 + 0.756859i
\(528\) −0.345413 3.57000i −0.0150322 0.155364i
\(529\) −14.3174 −0.622494
\(530\) −17.4412 −0.757597
\(531\) −38.5812 13.2448i −1.67428 0.574776i
\(532\) 2.07771 + 2.82304i 0.0900801 + 0.122394i
\(533\) −19.5875 + 23.8675i −0.848430 + 1.03382i
\(534\) −1.07992 1.51251i −0.0467325 0.0654527i
\(535\) −7.44880 + 12.9017i −0.322040 + 0.557789i
\(536\) 2.83485 + 1.63670i 0.122447 + 0.0706948i
\(537\) −28.6103 + 2.76817i −1.23463 + 0.119455i
\(538\) 27.3543 1.17933
\(539\) −4.30937 + 13.8400i −0.185618 + 0.596130i
\(540\) 1.96777 8.24659i 0.0846795 0.354877i
\(541\) −29.0831 16.7911i −1.25038 0.721907i −0.279195 0.960234i \(-0.590068\pi\)
−0.971185 + 0.238327i \(0.923401\pi\)
\(542\) 1.35557 0.0582267
\(543\) 21.2832 + 29.8089i 0.913350 + 1.27922i
\(544\) 3.05447 0.130959
\(545\) −27.1526 −1.16309
\(546\) −7.62832 + 14.6564i −0.326462 + 0.627234i
\(547\) −25.6327 −1.09597 −0.547987 0.836487i \(-0.684606\pi\)
−0.547987 + 0.836487i \(0.684606\pi\)
\(548\) −3.69448 −0.157820
\(549\) 8.94489 + 45.7921i 0.381759 + 1.95436i
\(550\) −4.84112 −0.206426
\(551\) 3.69793 + 2.13500i 0.157537 + 0.0909542i
\(552\) −6.14824 8.61111i −0.261686 0.366513i
\(553\) −6.89075 + 15.7367i −0.293024 + 0.669193i
\(554\) 20.9249 0.889013
\(555\) −2.16036 22.3283i −0.0917022 0.947785i
\(556\) 11.8635 + 6.84939i 0.503124 + 0.290479i
\(557\) 15.0162 26.0087i 0.636255 1.10203i −0.349993 0.936752i \(-0.613816\pi\)
0.986248 0.165273i \(-0.0528506\pi\)
\(558\) 19.3394 3.77771i 0.818704 0.159923i
\(559\) −3.16757 + 19.1859i −0.133974 + 0.811477i
\(560\) −3.95436 1.73152i −0.167102 0.0731703i
\(561\) 1.05505 + 10.9045i 0.0445444 + 0.460387i
\(562\) 4.08136 0.172162
\(563\) 26.1791 1.10332 0.551658 0.834070i \(-0.313995\pi\)
0.551658 + 0.834070i \(0.313995\pi\)
\(564\) 1.42171 0.137556i 0.0598647 0.00579216i
\(565\) 7.38659 + 12.7940i 0.310756 + 0.538246i
\(566\) 1.87345 + 1.08164i 0.0787469 + 0.0454645i
\(567\) −20.2938 12.4565i −0.852258 0.523122i
\(568\) −4.59225 + 7.95402i −0.192687 + 0.333743i
\(569\) 5.85652i 0.245518i 0.992437 + 0.122759i \(0.0391742\pi\)
−0.992437 + 0.122759i \(0.960826\pi\)
\(570\) −2.17558 3.04708i −0.0911251 0.127628i
\(571\) 15.5567 + 26.9450i 0.651027 + 1.12761i 0.982874 + 0.184279i \(0.0589950\pi\)
−0.331847 + 0.943333i \(0.607672\pi\)
\(572\) 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
\(576\) 0.974089 2.83745i 0.0405871 0.118227i
\(577\) 2.11078 + 3.65597i 0.0878727 + 0.152200i 0.906612 0.421966i \(-0.138660\pi\)
−0.818739 + 0.574166i \(0.805326\pi\)
\(578\) 7.67022 0.319039
\(579\) 17.1426 1.65862i 0.712424 0.0689300i
\(580\) −5.25875 −0.218358
\(581\) −2.00802 18.0370i −0.0833068 0.748301i
\(582\) 1.52980 + 15.8112i 0.0634121 + 0.655394i
\(583\) 22.1355i 0.916761i
\(584\) −1.43611 2.48741i −0.0594265 0.102930i
\(585\) 8.37298 15.5360i 0.346180 0.642333i
\(586\) −5.29149 3.05504i −0.218590 0.126203i
\(587\) −25.6971 + 14.8362i −1.06063 + 0.612358i −0.925608 0.378484i \(-0.876445\pi\)
−0.135027 + 0.990842i \(0.543112\pi\)
\(588\) −8.07633 + 9.04283i −0.333062 + 0.372920i
\(589\) 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 \(-0.614327\pi\)
−0.986512 + 0.163690i \(0.947660\pi\)
\(594\) 10.4662 + 2.49741i 0.429433 + 0.102470i
\(595\) 12.0785 + 5.28889i 0.495169 + 0.216823i
\(596\) 9.67165 + 16.7518i 0.396166 + 0.686180i
\(597\) 16.9968 + 23.8055i 0.695635 + 0.974294i
\(598\) −7.75854 20.6138i −0.317270 0.842963i
\(599\) 31.7637 18.3388i 1.29783 0.749302i 0.317800 0.948158i \(-0.397056\pi\)
0.980029 + 0.198856i \(0.0637226\pi\)
\(600\) −3.68544 1.67750i −0.150457 0.0684837i
\(601\) 3.55065 2.04997i 0.144834 0.0836199i −0.425832 0.904802i \(-0.640019\pi\)
0.570666 + 0.821182i \(0.306685\pi\)
\(602\) −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
\(606\) 0.127214 + 1.31481i 0.00516770 + 0.0534106i
\(607\) 3.85144 2.22363i 0.156325 0.0902543i −0.419797 0.907618i \(-0.637899\pi\)
0.576122 + 0.817364i \(0.304565\pi\)
\(608\) −0.662420 1.14734i −0.0268647 0.0465310i
\(609\) −4.59381 + 14.0372i −0.186150 + 0.568818i
\(610\) −25.3757 −1.02743
\(611\) 2.93363 + 0.484339i 0.118682 + 0.0195942i
\(612\) −2.97533 + 8.66692i −0.120270 + 0.350339i
\(613\) −5.04378 2.91203i −0.203716 0.117616i 0.394671 0.918822i \(-0.370858\pi\)
−0.598388 + 0.801207i \(0.704192\pi\)
\(614\) 0.994225 0.0401237
\(615\) 19.6957 14.0625i 0.794207 0.567054i
\(616\) 2.19757 5.01869i 0.0885426 0.202209i
\(617\) 16.4572 28.5046i 0.662540 1.14755i −0.317406 0.948290i \(-0.602812\pi\)
0.979946 0.199263i \(-0.0638549\pi\)
\(618\) −23.5583 + 2.27937i −0.947655 + 0.0916896i
\(619\) −13.6240 23.5975i −0.547595 0.948463i −0.998439 0.0558598i \(-0.982210\pi\)
0.450843 0.892603i \(-0.351123\pi\)
\(620\) 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
\(624\) 3.47846 5.18655i 0.139250 0.207628i
\(625\) 3.92265 6.79423i 0.156906 0.271769i
\(626\) −22.7854 13.1551i −0.910687 0.525786i
\(627\) 3.86721 2.76115i 0.154442 0.110270i
\(628\) −16.4481 + 9.49631i −0.656350 + 0.378944i
\(629\) 24.2459i 0.966746i
\(630\) 8.76502 9.53365i 0.349207 0.379830i
\(631\) 1.34761 + 0.778043i 0.0536475 + 0.0309734i 0.526584 0.850123i \(-0.323473\pi\)
−0.472936 + 0.881097i \(0.656806\pi\)
\(632\) 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 \(0.825244\pi\)
\(642\) −9.18956 12.8707i −0.362683 0.507967i
\(643\) 18.5300 32.0948i 0.730751 1.26570i −0.225812 0.974171i \(-0.572504\pi\)
0.956563 0.291526i \(-0.0941631\pi\)
\(644\) −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 −0.215728 0.976453i \(-0.569212\pi\)
0.953498 0.301401i \(-0.0974542\pi\)
\(648\) 7.10230 + 5.52787i 0.279005 + 0.217155i
\(649\) 24.3842 + 14.0782i 0.957165 + 0.552619i
\(650\) −6.51587 5.34742i −0.255573 0.209743i
\(651\) 28.6069 + 9.36185i 1.12119 + 0.366920i
\(652\) −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
\(657\) 8.45681 1.65193i 0.329932 0.0644479i
\(658\) 1.99863 + 0.875154i 0.0779146 + 0.0341170i
\(659\) −28.1909 16.2760i −1.09816 0.634024i −0.162425 0.986721i \(-0.551932\pi\)
−0.935738 + 0.352696i \(0.885265\pi\)
\(660\) −2.42436 + 5.32627i −0.0943679 + 0.207325i
\(661\) −10.1442 + 17.5703i −0.394565 + 0.683406i −0.993046 0.117731i \(-0.962438\pi\)
0.598481 + 0.801137i \(0.295771\pi\)
\(662\) −4.44504 + 2.56635i −0.172762 + 0.0997439i
\(663\) −10.6248 + 15.8422i −0.412634 + 0.615259i
\(664\) 6.85946i 0.266199i
\(665\) −0.632789 5.68401i −0.0245385 0.220416i
\(666\) 22.5232 + 7.73216i 0.872758 + 0.299615i
\(667\) −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
\(672\) 3.41199 3.05914i 0.131620 0.118009i
\(673\) −11.3708 19.6948i −0.438312 0.759179i 0.559247 0.829001i \(-0.311090\pi\)
−0.997559 + 0.0698219i \(0.977757\pi\)
\(674\) −8.20935 −0.316212
\(675\) 8.34978 8.82324i 0.321383 0.339607i
\(676\) 9.77389 8.57153i 0.375919 0.329674i
\(677\) −16.2207 + 28.0950i −0.623412 + 1.07978i 0.365434 + 0.930837i \(0.380921\pi\)
−0.988846 + 0.148943i \(0.952413\pi\)
\(678\) −15.6097 + 1.51030i −0.599487 + 0.0580029i
\(679\) −9.73281 + 22.2272i −0.373511 + 0.853003i
\(680\) −4.31602 2.49186i −0.165512 0.0955583i
\(681\) 11.5135 + 16.1256i 0.441197 + 0.617933i
\(682\) −13.6014 −0.520826
\(683\) 7.19406 0.275273 0.137637 0.990483i \(-0.456049\pi\)
0.137637 + 0.990483i \(0.456049\pi\)
\(684\) 3.90080 0.761970i 0.149151 0.0291347i
\(685\) 5.22037 + 3.01398i 0.199460 + 0.115158i
\(686\) −17.5052 + 6.04714i −0.668352 + 0.230881i
\(687\) 1.58359 + 16.3671i 0.0604177 + 0.624445i
\(688\) 2.69662 4.67069i 0.102808 0.178068i
\(689\) 24.4505 29.7932i 0.931491 1.13503i
\(690\) 1.66257 + 17.1834i 0.0632930 + 0.654162i
\(691\) 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
\(693\) 12.0997 + 11.1242i 0.459628 + 0.422572i
\(694\) 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
\(699\) −7.76820 + 0.751607i −0.293820 + 0.0284284i
\(700\) −3.66637 4.98159i −0.138576 0.188286i
\(701\) 26.3672i 0.995877i 0.867212 + 0.497938i \(0.165909\pi\)
−0.867212 + 0.497938i \(0.834091\pi\)
\(702\) 11.3283 + 14.9221i 0.427559 + 0.563199i
\(703\) 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
\(708\) 13.6849 + 19.1669i 0.514311 + 0.720335i
\(709\) −24.4953 + 14.1424i −0.919940 + 0.531127i −0.883616 0.468213i \(-0.844898\pi\)
−0.0363238 + 0.999340i \(0.511565\pi\)
\(710\) 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
\(714\) −10.4218 + 9.34403i −0.390027 + 0.349692i
\(715\) −7.72819 + 9.41685i −0.289018 + 0.352170i
\(716\) 14.3720 + 8.29766i 0.537105 + 0.310098i
\(717\) 24.5100 17.4998i 0.915342 0.653544i
\(718\) −2.59460 + 4.49398i −0.0968295 + 0.167714i
\(719\) −9.30194 16.1114i −0.346904 0.600855i 0.638794 0.769378i \(-0.279434\pi\)
−0.985698 + 0.168523i \(0.946100\pi\)
\(720\) −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
\(723\) 2.01410 1.43805i 0.0749053 0.0534815i
\(724\) 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 \(-0.638429\pi\)
0.421309 0.906917i \(-0.361571\pi\)
\(728\) 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 −0.860880 0.508808i \(-0.830086\pi\)
0.871081 + 0.491140i \(0.163420\pi\)
\(734\) −14.2733 8.24067i −0.526836 0.304169i
\(735\) 18.7892 6.18896i 0.693050 0.228283i
\(736\) 6.10879i 0.225173i
\(737\) 5.87032 3.38923i 0.216236 0.124844i
\(738\) 4.92521 + 25.2139i 0.181299 + 0.928136i
\(739\) 27.9938 + 16.1622i 1.02977 + 0.594537i 0.916918 0.399075i \(-0.130669\pi\)
0.112850 + 0.993612i \(0.464002\pi\)
\(740\) −6.47574 + 11.2163i −0.238053 + 0.412320i
\(741\) 8.25496 + 0.555312i 0.303254 + 0.0203999i
\(742\) 22.7778 16.7641i 0.836200 0.615430i
\(743\) −19.1716 33.2062i −0.703339 1.21822i −0.967288 0.253682i \(-0.918358\pi\)
0.263949 0.964537i \(-0.414975\pi\)
\(744\) −10.3545 4.71305i −0.379614 0.172789i
\(745\) 31.5608i 1.15630i
\(746\) 17.7937 + 30.8197i 0.651475 + 1.12839i
\(747\) −19.4634 6.68173i −0.712129 0.244472i
\(748\) 3.16255 5.47769i 0.115634 0.200284i
\(749\) −2.67287 24.0090i −0.0976645 0.877269i
\(750\) 12.0498 + 16.8768i 0.439997 + 0.616252i
\(751\) −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
\(753\) 1.13381 + 11.7185i 0.0413184 + 0.427045i
\(754\) 7.37216 8.98303i 0.268478 0.327143i
\(755\) −5.55578 −0.202195
\(756\) 5.35657 + 12.6612i 0.194817 + 0.460485i
\(757\) −16.0710 27.8358i −0.584111 1.01171i −0.994986 0.100018i \(-0.968110\pi\)
0.410875 0.911692i \(-0.365223\pi\)
\(758\) −25.3582 + 14.6406i −0.921051 + 0.531769i
\(759\) −21.8084 + 2.11006i −0.791595 + 0.0765902i
\(760\) 2.16163i 0.0784104i
\(761\) 4.03145 2.32756i 0.146140 0.0843740i −0.425147 0.905124i \(-0.639778\pi\)
0.571287 + 0.820750i \(0.306444\pi\)
\(762\) 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
\(768\) −1.40963 + 1.00646i −0.0508655 + 0.0363174i
\(769\) −20.9476 36.2823i −0.755389 1.30837i −0.945181 0.326548i \(-0.894115\pi\)
0.189792 0.981824i \(-0.439219\pi\)
\(770\) −7.19948 + 5.29870i −0.259451 + 0.190952i
\(771\) 19.9469 14.2419i 0.718371 0.512909i
\(772\) −8.61135 4.97176i −0.309929 0.178938i
\(773\) 48.7888i 1.75481i −0.479749 0.877406i \(-0.659272\pi\)
0.479749 0.877406i \(-0.340728\pi\)