Properties

Label 546.2.bn.e.173.17
Level $546$
Weight $2$
Character 546.173
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.bn (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 173.17
Character \(\chi\) \(=\) 546.173
Dual form 546.2.bn.e.101.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(1.71486 - 0.243407i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.88000 + 1.66277i) q^{5} +(-1.06823 - 1.36341i) q^{6} +(-0.187179 + 2.63912i) q^{7} +1.00000 q^{8} +(2.88151 - 0.834819i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(1.71486 - 0.243407i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.88000 + 1.66277i) q^{5} +(-1.06823 - 1.36341i) q^{6} +(-0.187179 + 2.63912i) q^{7} +1.00000 q^{8} +(2.88151 - 0.834819i) q^{9} -3.32554i q^{10} -1.48295 q^{11} +(-0.646635 + 1.60682i) q^{12} +(-1.88919 - 3.07099i) q^{13} +(2.37914 - 1.15746i) q^{14} +(5.34353 + 2.15041i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-2.81885 + 4.88239i) q^{17} +(-2.16373 - 2.07805i) q^{18} +5.36593 q^{19} +(-2.88000 + 1.66277i) q^{20} +(0.321393 + 4.57129i) q^{21} +(0.741475 + 1.28427i) q^{22} +(-3.47246 + 2.00483i) q^{23} +(1.71486 - 0.243407i) q^{24} +(3.02959 + 5.24741i) q^{25} +(-1.71496 + 3.17158i) q^{26} +(4.73819 - 2.13298i) q^{27} +(-2.19196 - 1.48166i) q^{28} +(0.127567 + 0.0736508i) q^{29} +(-0.809458 - 5.70284i) q^{30} +(-0.689813 - 1.19479i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-2.54306 + 0.360960i) q^{33} +5.63770 q^{34} +(-4.92732 + 7.28943i) q^{35} +(-0.717779 + 2.91287i) q^{36} +(8.80395 - 5.08296i) q^{37} +(-2.68297 - 4.64703i) q^{38} +(-3.98720 - 4.80648i) q^{39} +(2.88000 + 1.66277i) q^{40} +(-0.728750 - 0.420744i) q^{41} +(3.79816 - 2.56398i) q^{42} +(-4.56492 - 7.90667i) q^{43} +(0.741475 - 1.28427i) q^{44} +(9.68684 + 2.38700i) q^{45} +(3.47246 + 2.00483i) q^{46} +(-8.41249 - 4.85696i) q^{47} +(-1.06823 - 1.36341i) q^{48} +(-6.92993 - 0.987979i) q^{49} +(3.02959 - 5.24741i) q^{50} +(-3.64553 + 9.05876i) q^{51} +(3.60415 - 0.100592i) q^{52} +(10.6632 - 6.15640i) q^{53} +(-4.21631 - 3.03690i) q^{54} +(-4.27089 - 2.46580i) q^{55} +(-0.187179 + 2.63912i) q^{56} +(9.20183 - 1.30610i) q^{57} -0.147302i q^{58} +(-0.131186 - 0.0757401i) q^{59} +(-4.53407 + 3.55243i) q^{60} +7.30511i q^{61} +(-0.689813 + 1.19479i) q^{62} +(1.66383 + 7.76091i) q^{63} +1.00000 q^{64} +(-0.334521 - 11.9857i) q^{65} +(1.58413 + 2.02187i) q^{66} -9.94355i q^{67} +(-2.81885 - 4.88239i) q^{68} +(-5.46681 + 4.28322i) q^{69} +(8.77649 + 0.622472i) q^{70} +(-2.25453 - 3.90495i) q^{71} +(2.88151 - 0.834819i) q^{72} +(-1.99167 - 3.44967i) q^{73} +(-8.80395 - 5.08296i) q^{74} +(6.47259 + 8.26116i) q^{75} +(-2.68297 + 4.64703i) q^{76} +(0.277578 - 3.91369i) q^{77} +(-2.16893 + 5.85626i) q^{78} +(1.75435 - 3.03863i) q^{79} -3.32554i q^{80} +(7.60616 - 4.81107i) q^{81} +0.841488i q^{82} +11.3089i q^{83} +(-4.11955 - 2.00731i) q^{84} +(-16.2366 + 9.37418i) q^{85} +(-4.56492 + 7.90667i) q^{86} +(0.236687 + 0.0952504i) q^{87} -1.48295 q^{88} +(1.49536 - 0.863347i) q^{89} +(-2.77622 - 9.58255i) q^{90} +(8.45833 - 4.41097i) q^{91} -4.00965i q^{92} +(-1.47375 - 1.88100i) q^{93} +9.71391i q^{94} +(15.4539 + 8.92230i) q^{95} +(-0.646635 + 1.60682i) q^{96} +(-7.27311 - 12.5974i) q^{97} +(2.60935 + 6.49548i) q^{98} +(-4.27313 + 1.23799i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 17q^{2} + 3q^{3} - 17q^{4} + 9q^{5} - 6q^{6} + 5q^{7} + 34q^{8} + 7q^{9} + O(q^{10}) \) \( 34q - 17q^{2} + 3q^{3} - 17q^{4} + 9q^{5} - 6q^{6} + 5q^{7} + 34q^{8} + 7q^{9} - 18q^{11} + 3q^{12} - 8q^{13} - 4q^{14} - 17q^{15} - 17q^{16} + 6q^{17} - 11q^{18} - 10q^{19} - 9q^{20} - 4q^{21} + 9q^{22} + 6q^{23} + 3q^{24} + 16q^{25} + 13q^{26} + 18q^{27} - q^{28} + 27q^{29} + 13q^{30} + q^{31} - 17q^{32} + 21q^{33} - 12q^{34} - 3q^{35} + 4q^{36} + 6q^{37} + 5q^{38} + 20q^{39} + 9q^{40} + 3q^{41} + 20q^{42} - 3q^{43} + 9q^{44} - 6q^{46} - 27q^{47} - 6q^{48} - 5q^{49} + 16q^{50} + 24q^{51} - 5q^{52} + 21q^{53} - 18q^{54} + 57q^{55} + 5q^{56} - 17q^{57} - 6q^{59} + 4q^{60} + q^{62} - 21q^{63} + 34q^{64} + 33q^{65} - 21q^{66} + 6q^{68} - 30q^{69} + 3q^{70} - 15q^{71} + 7q^{72} + 19q^{73} - 6q^{74} - 63q^{75} + 5q^{76} - 9q^{77} - 10q^{78} - 9q^{79} - 5q^{81} - 16q^{84} - 42q^{85} - 3q^{86} - 75q^{87} - 18q^{88} - 18q^{89} - 9q^{90} - 27q^{91} + 25q^{93} - 3q^{95} + 3q^{96} - 19q^{97} + 7q^{98} - 27q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) 1.71486 0.243407i 0.990076 0.140531i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 2.88000 + 1.66277i 1.28797 + 0.743612i 0.978293 0.207228i \(-0.0664442\pi\)
0.309682 + 0.950840i \(0.399778\pi\)
\(6\) −1.06823 1.36341i −0.436102 0.556610i
\(7\) −0.187179 + 2.63912i −0.0707472 + 0.997494i
\(8\) 1.00000 0.353553
\(9\) 2.88151 0.834819i 0.960502 0.278273i
\(10\) 3.32554i 1.05163i
\(11\) −1.48295 −0.447126 −0.223563 0.974689i \(-0.571769\pi\)
−0.223563 + 0.974689i \(0.571769\pi\)
\(12\) −0.646635 + 1.60682i −0.186667 + 0.463848i
\(13\) −1.88919 3.07099i −0.523967 0.851739i
\(14\) 2.37914 1.15746i 0.635851 0.309344i
\(15\) 5.34353 + 2.15041i 1.37969 + 0.555233i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −2.81885 + 4.88239i −0.683671 + 1.18415i 0.290181 + 0.956972i \(0.406285\pi\)
−0.973852 + 0.227182i \(0.927049\pi\)
\(18\) −2.16373 2.07805i −0.509995 0.489801i
\(19\) 5.36593 1.23103 0.615514 0.788126i \(-0.288948\pi\)
0.615514 + 0.788126i \(0.288948\pi\)
\(20\) −2.88000 + 1.66277i −0.643987 + 0.371806i
\(21\) 0.321393 + 4.57129i 0.0701338 + 0.997538i
\(22\) 0.741475 + 1.28427i 0.158083 + 0.273808i
\(23\) −3.47246 + 2.00483i −0.724058 + 0.418035i −0.816245 0.577706i \(-0.803948\pi\)
0.0921861 + 0.995742i \(0.470615\pi\)
\(24\) 1.71486 0.243407i 0.350045 0.0496852i
\(25\) 3.02959 + 5.24741i 0.605919 + 1.04948i
\(26\) −1.71496 + 3.17158i −0.336331 + 0.621998i
\(27\) 4.73819 2.13298i 0.911864 0.410492i
\(28\) −2.19196 1.48166i −0.414241 0.280008i
\(29\) 0.127567 + 0.0736508i 0.0236886 + 0.0136766i 0.511798 0.859106i \(-0.328980\pi\)
−0.488109 + 0.872783i \(0.662313\pi\)
\(30\) −0.809458 5.70284i −0.147786 1.04119i
\(31\) −0.689813 1.19479i −0.123894 0.214591i 0.797406 0.603443i \(-0.206205\pi\)
−0.921300 + 0.388852i \(0.872872\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) −2.54306 + 0.360960i −0.442689 + 0.0628351i
\(34\) 5.63770 0.966857
\(35\) −4.92732 + 7.28943i −0.832870 + 1.23214i
\(36\) −0.717779 + 2.91287i −0.119630 + 0.485478i
\(37\) 8.80395 5.08296i 1.44736 0.835634i 0.449037 0.893513i \(-0.351767\pi\)
0.998324 + 0.0578796i \(0.0184339\pi\)
\(38\) −2.68297 4.64703i −0.435234 0.753848i
\(39\) −3.98720 4.80648i −0.638463 0.769653i
\(40\) 2.88000 + 1.66277i 0.455368 + 0.262907i
\(41\) −0.728750 0.420744i −0.113812 0.0657091i 0.442014 0.897008i \(-0.354264\pi\)
−0.555825 + 0.831299i \(0.687598\pi\)
\(42\) 3.79816 2.56398i 0.586068 0.395631i
\(43\) −4.56492 7.90667i −0.696143 1.20576i −0.969794 0.243926i \(-0.921565\pi\)
0.273651 0.961829i \(-0.411769\pi\)
\(44\) 0.741475 1.28427i 0.111782 0.193611i
\(45\) 9.68684 + 2.38700i 1.44403 + 0.355833i
\(46\) 3.47246 + 2.00483i 0.511987 + 0.295596i
\(47\) −8.41249 4.85696i −1.22709 0.708460i −0.260668 0.965428i \(-0.583943\pi\)
−0.966420 + 0.256969i \(0.917276\pi\)
\(48\) −1.06823 1.36341i −0.154185 0.196791i
\(49\) −6.92993 0.987979i −0.989990 0.141140i
\(50\) 3.02959 5.24741i 0.428449 0.742096i
\(51\) −3.64553 + 9.05876i −0.510477 + 1.26848i
\(52\) 3.60415 0.100592i 0.499805 0.0139495i
\(53\) 10.6632 6.15640i 1.46470 0.845647i 0.465480 0.885058i \(-0.345882\pi\)
0.999223 + 0.0394116i \(0.0125483\pi\)
\(54\) −4.21631 3.03690i −0.573767 0.413270i
\(55\) −4.27089 2.46580i −0.575887 0.332489i
\(56\) −0.187179 + 2.63912i −0.0250129 + 0.352667i
\(57\) 9.20183 1.30610i 1.21881 0.172998i
\(58\) 0.147302i 0.0193417i
\(59\) −0.131186 0.0757401i −0.0170789 0.00986052i 0.491436 0.870914i \(-0.336472\pi\)
−0.508515 + 0.861053i \(0.669805\pi\)
\(60\) −4.53407 + 3.55243i −0.585346 + 0.458617i
\(61\) 7.30511i 0.935323i 0.883908 + 0.467662i \(0.154903\pi\)
−0.883908 + 0.467662i \(0.845097\pi\)
\(62\) −0.689813 + 1.19479i −0.0876063 + 0.151739i
\(63\) 1.66383 + 7.76091i 0.209623 + 0.977782i
\(64\) 1.00000 0.125000
\(65\) −0.334521 11.9857i −0.0414922 1.48665i
\(66\) 1.58413 + 2.02187i 0.194993 + 0.248875i
\(67\) 9.94355i 1.21480i −0.794397 0.607399i \(-0.792213\pi\)
0.794397 0.607399i \(-0.207787\pi\)
\(68\) −2.81885 4.88239i −0.341836 0.592077i
\(69\) −5.46681 + 4.28322i −0.658126 + 0.515640i
\(70\) 8.77649 + 0.622472i 1.04899 + 0.0743996i
\(71\) −2.25453 3.90495i −0.267563 0.463433i 0.700669 0.713487i \(-0.252885\pi\)
−0.968232 + 0.250054i \(0.919552\pi\)
\(72\) 2.88151 0.834819i 0.339589 0.0983843i
\(73\) −1.99167 3.44967i −0.233107 0.403753i 0.725614 0.688102i \(-0.241556\pi\)
−0.958721 + 0.284349i \(0.908223\pi\)
\(74\) −8.80395 5.08296i −1.02344 0.590882i
\(75\) 6.47259 + 8.26116i 0.747390 + 0.953917i
\(76\) −2.68297 + 4.64703i −0.307757 + 0.533051i
\(77\) 0.277578 3.91369i 0.0316329 0.446006i
\(78\) −2.16893 + 5.85626i −0.245583 + 0.663090i
\(79\) 1.75435 3.03863i 0.197380 0.341872i −0.750298 0.661100i \(-0.770090\pi\)
0.947678 + 0.319227i \(0.103423\pi\)
\(80\) 3.32554i 0.371806i
\(81\) 7.60616 4.81107i 0.845128 0.534563i
\(82\) 0.841488i 0.0929268i
\(83\) 11.3089i 1.24131i 0.784082 + 0.620657i \(0.213134\pi\)
−0.784082 + 0.620657i \(0.786866\pi\)
\(84\) −4.11955 2.00731i −0.449480 0.219016i
\(85\) −16.2366 + 9.37418i −1.76110 + 1.01677i
\(86\) −4.56492 + 7.90667i −0.492248 + 0.852598i
\(87\) 0.236687 + 0.0952504i 0.0253755 + 0.0102119i
\(88\) −1.48295 −0.158083
\(89\) 1.49536 0.863347i 0.158508 0.0915146i −0.418648 0.908149i \(-0.637496\pi\)
0.577156 + 0.816634i \(0.304163\pi\)
\(90\) −2.77622 9.58255i −0.292639 1.01009i
\(91\) 8.45833 4.41097i 0.886674 0.462396i
\(92\) 4.00965i 0.418035i
\(93\) −1.47375 1.88100i −0.152821 0.195050i
\(94\) 9.71391i 1.00191i
\(95\) 15.4539 + 8.92230i 1.58553 + 0.915408i
\(96\) −0.646635 + 1.60682i −0.0659969 + 0.163995i
\(97\) −7.27311 12.5974i −0.738472 1.27907i −0.953183 0.302393i \(-0.902214\pi\)
0.214711 0.976678i \(-0.431119\pi\)
\(98\) 2.60935 + 6.49548i 0.263584 + 0.656143i
\(99\) −4.27313 + 1.23799i −0.429466 + 0.124423i
\(100\) −6.05919 −0.605919
\(101\) 7.91277 0.787350 0.393675 0.919250i \(-0.371203\pi\)
0.393675 + 0.919250i \(0.371203\pi\)
\(102\) 9.66788 1.37225i 0.957263 0.135873i
\(103\) 9.50831 + 5.48962i 0.936881 + 0.540909i 0.888981 0.457943i \(-0.151414\pi\)
0.0479000 + 0.998852i \(0.484747\pi\)
\(104\) −1.88919 3.07099i −0.185250 0.301135i
\(105\) −6.67538 + 13.6997i −0.651451 + 1.33696i
\(106\) −10.6632 6.15640i −1.03570 0.597963i
\(107\) −15.9407 + 9.20334i −1.54104 + 0.889721i −0.542268 + 0.840206i \(0.682434\pi\)
−0.998773 + 0.0495148i \(0.984232\pi\)
\(108\) −0.521881 + 5.16988i −0.0502180 + 0.497472i
\(109\) 17.6648 10.1988i 1.69198 0.976867i 0.739068 0.673631i \(-0.235266\pi\)
0.952915 0.303236i \(-0.0980671\pi\)
\(110\) 4.93160i 0.470210i
\(111\) 13.8603 10.8595i 1.31556 1.03074i
\(112\) 2.37914 1.15746i 0.224807 0.109370i
\(113\) −6.98437 + 4.03243i −0.657035 + 0.379339i −0.791146 0.611627i \(-0.790515\pi\)
0.134111 + 0.990966i \(0.457182\pi\)
\(114\) −5.73204 7.31597i −0.536854 0.685203i
\(115\) −13.3342 −1.24342
\(116\) −0.127567 + 0.0736508i −0.0118443 + 0.00683831i
\(117\) −8.00743 7.27194i −0.740287 0.672291i
\(118\) 0.151480i 0.0139449i
\(119\) −12.3576 8.35317i −1.13282 0.765734i
\(120\) 5.34353 + 2.15041i 0.487795 + 0.196304i
\(121\) −8.80086 −0.800078
\(122\) 6.32641 3.65255i 0.572766 0.330687i
\(123\) −1.35212 0.544135i −0.121916 0.0490630i
\(124\) 1.37963 0.123894
\(125\) 3.52236i 0.315049i
\(126\) 5.88923 5.32137i 0.524654 0.474065i
\(127\) −7.85389 + 13.6033i −0.696920 + 1.20710i 0.272610 + 0.962125i \(0.412113\pi\)
−0.969529 + 0.244975i \(0.921220\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) −9.75274 12.4477i −0.858681 1.09596i
\(130\) −10.2127 + 6.28256i −0.895711 + 0.551017i
\(131\) −4.29105 + 7.43232i −0.374911 + 0.649365i −0.990314 0.138848i \(-0.955660\pi\)
0.615403 + 0.788213i \(0.288993\pi\)
\(132\) 0.958927 2.38283i 0.0834639 0.207399i
\(133\) −1.00439 + 14.1613i −0.0870918 + 1.22794i
\(134\) −8.61136 + 4.97177i −0.743909 + 0.429496i
\(135\) 17.1926 + 1.73553i 1.47970 + 0.149371i
\(136\) −2.81885 + 4.88239i −0.241714 + 0.418662i
\(137\) −5.68540 + 9.84740i −0.485736 + 0.841320i −0.999866 0.0163926i \(-0.994782\pi\)
0.514129 + 0.857713i \(0.328115\pi\)
\(138\) 6.44278 + 2.59278i 0.548446 + 0.220712i
\(139\) −8.24504 + 4.76027i −0.699335 + 0.403761i −0.807100 0.590415i \(-0.798964\pi\)
0.107765 + 0.994176i \(0.465631\pi\)
\(140\) −3.84917 7.91190i −0.325314 0.668678i
\(141\) −15.6085 6.28135i −1.31447 0.528985i
\(142\) −2.25453 + 3.90495i −0.189196 + 0.327696i
\(143\) 2.80157 + 4.55412i 0.234279 + 0.380835i
\(144\) −2.16373 2.07805i −0.180311 0.173171i
\(145\) 0.244928 + 0.424228i 0.0203402 + 0.0352303i
\(146\) −1.99167 + 3.44967i −0.164831 + 0.285496i
\(147\) −12.1244 0.00745571i −1.00000 0.000614937i
\(148\) 10.1659i 0.835634i
\(149\) 1.76474 0.144573 0.0722867 0.997384i \(-0.476970\pi\)
0.0722867 + 0.997384i \(0.476970\pi\)
\(150\) 3.91808 9.73601i 0.319910 0.794942i
\(151\) −8.77338 + 5.06531i −0.713967 + 0.412209i −0.812528 0.582922i \(-0.801909\pi\)
0.0985609 + 0.995131i \(0.468576\pi\)
\(152\) 5.36593 0.435234
\(153\) −4.04662 + 16.4219i −0.327150 + 1.32763i
\(154\) −3.52814 + 1.71645i −0.284306 + 0.138316i
\(155\) 4.58799i 0.368516i
\(156\) 6.15613 1.04978i 0.492885 0.0840493i
\(157\) 5.26499 3.03974i 0.420192 0.242598i −0.274968 0.961454i \(-0.588667\pi\)
0.695159 + 0.718856i \(0.255334\pi\)
\(158\) −3.50870 −0.279138
\(159\) 16.7874 13.1529i 1.33133 1.04309i
\(160\) −2.88000 + 1.66277i −0.227684 + 0.131453i
\(161\) −4.64101 9.53951i −0.365763 0.751819i
\(162\) −7.96959 4.18159i −0.626150 0.328537i
\(163\) 14.6904i 1.15064i −0.817929 0.575319i \(-0.804878\pi\)
0.817929 0.575319i \(-0.195122\pi\)
\(164\) 0.728750 0.420744i 0.0569058 0.0328546i
\(165\) −7.92419 3.18895i −0.616897 0.248259i
\(166\) 9.79380 5.65445i 0.760146 0.438871i
\(167\) −11.1837 6.45688i −0.865417 0.499649i 0.000405558 1.00000i \(-0.499871\pi\)
−0.865823 + 0.500351i \(0.833204\pi\)
\(168\) 0.321393 + 4.57129i 0.0247960 + 0.352683i
\(169\) −5.86193 + 11.6034i −0.450918 + 0.892565i
\(170\) 16.2366 + 9.37418i 1.24529 + 0.718967i
\(171\) 15.4620 4.47958i 1.18241 0.342562i
\(172\) 9.12983 0.696143
\(173\) 8.58422 0.652646 0.326323 0.945258i \(-0.394190\pi\)
0.326323 + 0.945258i \(0.394190\pi\)
\(174\) −0.0358542 0.252602i −0.00271810 0.0191497i
\(175\) −14.4156 + 7.01326i −1.08972 + 0.530152i
\(176\) 0.741475 + 1.28427i 0.0558908 + 0.0968057i
\(177\) −0.243401 0.0979524i −0.0182952 0.00736255i
\(178\) −1.49536 0.863347i −0.112082 0.0647106i
\(179\) 6.27114i 0.468727i −0.972149 0.234363i \(-0.924699\pi\)
0.972149 0.234363i \(-0.0753005\pi\)
\(180\) −6.91062 + 7.19555i −0.515087 + 0.536325i
\(181\) 1.79286i 0.133262i −0.997778 0.0666312i \(-0.978775\pi\)
0.997778 0.0666312i \(-0.0212251\pi\)
\(182\) −8.04918 5.11964i −0.596645 0.379493i
\(183\) 1.77811 + 12.5273i 0.131442 + 0.926041i
\(184\) −3.47246 + 2.00483i −0.255993 + 0.147798i
\(185\) 33.8071 2.48555
\(186\) −0.892113 + 2.21681i −0.0654129 + 0.162544i
\(187\) 4.18021 7.24034i 0.305687 0.529466i
\(188\) 8.41249 4.85696i 0.613544 0.354230i
\(189\) 4.74230 + 12.9039i 0.344951 + 0.938621i
\(190\) 17.8446i 1.29458i
\(191\) 15.3185i 1.10841i 0.832381 + 0.554204i \(0.186977\pi\)
−0.832381 + 0.554204i \(0.813023\pi\)
\(192\) 1.71486 0.243407i 0.123760 0.0175664i
\(193\) 17.4783i 1.25812i 0.777359 + 0.629058i \(0.216559\pi\)
−0.777359 + 0.629058i \(0.783441\pi\)
\(194\) −7.27311 + 12.5974i −0.522179 + 0.904440i
\(195\) −3.49106 20.4724i −0.250000 1.46606i
\(196\) 4.32058 5.50750i 0.308613 0.393393i
\(197\) 0.179054 0.310131i 0.0127571 0.0220959i −0.859576 0.511007i \(-0.829273\pi\)
0.872333 + 0.488911i \(0.162606\pi\)
\(198\) 3.20870 + 3.08164i 0.228032 + 0.219003i
\(199\) −0.332989 0.192251i −0.0236049 0.0136283i 0.488151 0.872759i \(-0.337671\pi\)
−0.511756 + 0.859131i \(0.671005\pi\)
\(200\) 3.02959 + 5.24741i 0.214225 + 0.371048i
\(201\) −2.42033 17.0518i −0.170717 1.20274i
\(202\) −3.95639 6.85266i −0.278370 0.482152i
\(203\) −0.218251 + 0.322879i −0.0153182 + 0.0226617i
\(204\) −6.02235 7.68650i −0.421649 0.538163i
\(205\) −1.39920 2.42348i −0.0977243 0.169263i
\(206\) 10.9792i 0.764960i
\(207\) −8.33226 + 8.67580i −0.579132 + 0.603010i
\(208\) −1.71496 + 3.17158i −0.118911 + 0.219909i
\(209\) −7.95741 −0.550425
\(210\) 15.2020 1.06880i 1.04904 0.0737545i
\(211\) −1.26041 + 2.18309i −0.0867699 + 0.150290i −0.906144 0.422969i \(-0.860988\pi\)
0.819374 + 0.573259i \(0.194321\pi\)
\(212\) 12.3128i 0.845647i
\(213\) −4.81669 6.14769i −0.330034 0.421233i
\(214\) 15.9407 + 9.20334i 1.08968 + 0.629127i
\(215\) 30.3616i 2.07064i
\(216\) 4.73819 2.13298i 0.322393 0.145131i
\(217\) 3.28232 1.59686i 0.222818 0.108402i
\(218\) −17.6648 10.1988i −1.19641 0.690749i
\(219\) −4.25510 5.43092i −0.287533 0.366987i
\(220\) 4.27089 2.46580i 0.287944 0.166244i
\(221\) 20.3191 0.567105i 1.36681 0.0381476i
\(222\) −16.3348 6.57364i −1.09632 0.441194i
\(223\) 3.82570 6.62631i 0.256188 0.443731i −0.709030 0.705179i \(-0.750867\pi\)
0.965218 + 0.261448i \(0.0842000\pi\)
\(224\) −2.19196 1.48166i −0.146456 0.0989978i
\(225\) 13.1104 + 12.5913i 0.874028 + 0.839419i
\(226\) 6.98437 + 4.03243i 0.464594 + 0.268233i
\(227\) −3.75945 2.17052i −0.249523 0.144062i 0.370023 0.929023i \(-0.379350\pi\)
−0.619546 + 0.784960i \(0.712683\pi\)
\(228\) −3.46980 + 8.62207i −0.229793 + 0.571011i
\(229\) −3.62585 + 6.28015i −0.239603 + 0.415004i −0.960600 0.277933i \(-0.910351\pi\)
0.720998 + 0.692938i \(0.243684\pi\)
\(230\) 6.66712 + 11.5478i 0.439617 + 0.761439i
\(231\) −0.476610 6.77900i −0.0313587 0.446025i
\(232\) 0.127567 + 0.0736508i 0.00837518 + 0.00483541i
\(233\) −5.48600 3.16734i −0.359400 0.207499i 0.309418 0.950926i \(-0.399866\pi\)
−0.668817 + 0.743427i \(0.733199\pi\)
\(234\) −2.29397 + 10.5706i −0.149962 + 0.691022i
\(235\) −16.1520 27.9760i −1.05364 1.82496i
\(236\) 0.131186 0.0757401i 0.00853946 0.00493026i
\(237\) 2.26885 5.63785i 0.147378 0.366218i
\(238\) −1.05526 + 14.8786i −0.0684024 + 0.964435i
\(239\) −20.8047 −1.34574 −0.672870 0.739760i \(-0.734939\pi\)
−0.672870 + 0.739760i \(0.734939\pi\)
\(240\) −0.809458 5.70284i −0.0522503 0.368116i
\(241\) 7.39132 12.8021i 0.476117 0.824658i −0.523509 0.852020i \(-0.675377\pi\)
0.999626 + 0.0273618i \(0.00871063\pi\)
\(242\) 4.40043 + 7.62177i 0.282870 + 0.489946i
\(243\) 11.8725 10.1017i 0.761619 0.648025i
\(244\) −6.32641 3.65255i −0.405007 0.233831i
\(245\) −18.3154 14.3682i −1.17013 0.917953i
\(246\) 0.204824 + 1.44304i 0.0130591 + 0.0920046i
\(247\) −10.1373 16.4787i −0.645018 1.04852i
\(248\) −0.689813 1.19479i −0.0438031 0.0758693i
\(249\) 2.75266 + 19.3932i 0.174443 + 1.22899i
\(250\) 3.05045 1.76118i 0.192928 0.111387i
\(251\) −2.33059 4.03669i −0.147105 0.254794i 0.783051 0.621957i \(-0.213662\pi\)
−0.930156 + 0.367164i \(0.880329\pi\)
\(252\) −7.55306 2.43954i −0.475798 0.153676i
\(253\) 5.14949 2.97306i 0.323746 0.186915i
\(254\) 15.7078 0.985593
\(255\) −25.5617 + 20.0275i −1.60074 + 1.25417i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 2.18878 + 3.79108i 0.136532 + 0.236481i 0.926182 0.377077i \(-0.123071\pi\)
−0.789649 + 0.613558i \(0.789738\pi\)
\(258\) −5.90367 + 14.6700i −0.367546 + 0.913313i
\(259\) 11.7666 + 24.1861i 0.731143 + 1.50285i
\(260\) 10.5472 + 5.70316i 0.654110 + 0.353695i
\(261\) 0.429070 + 0.105730i 0.0265588 + 0.00654453i
\(262\) 8.58211 0.530204
\(263\) 4.57859i 0.282328i 0.989986 + 0.141164i \(0.0450845\pi\)
−0.989986 + 0.141164i \(0.954915\pi\)
\(264\) −2.54306 + 0.360960i −0.156514 + 0.0222156i
\(265\) 40.9467 2.51533
\(266\) 12.7663 6.21084i 0.782751 0.380811i
\(267\) 2.35419 1.84450i 0.144074 0.112882i
\(268\) 8.61136 + 4.97177i 0.526023 + 0.303699i
\(269\) 6.18401 10.7110i 0.377046 0.653063i −0.613585 0.789629i \(-0.710273\pi\)
0.990631 + 0.136566i \(0.0436066\pi\)
\(270\) −7.09329 15.7570i −0.431684 0.958941i
\(271\) 15.7597 + 27.2965i 0.957331 + 1.65815i 0.728942 + 0.684575i \(0.240012\pi\)
0.228389 + 0.973570i \(0.426654\pi\)
\(272\) 5.63770 0.341836
\(273\) 13.4312 9.62303i 0.812894 0.582412i
\(274\) 11.3708 0.686935
\(275\) −4.49273 7.78164i −0.270922 0.469251i
\(276\) −0.975977 6.87601i −0.0587469 0.413887i
\(277\) −1.70622 + 2.95526i −0.102517 + 0.177564i −0.912721 0.408584i \(-0.866023\pi\)
0.810204 + 0.586148i \(0.199356\pi\)
\(278\) 8.24504 + 4.76027i 0.494504 + 0.285502i
\(279\) −2.98513 2.86693i −0.178715 0.171638i
\(280\) −4.92732 + 7.28943i −0.294464 + 0.435627i
\(281\) 18.1663 1.08371 0.541856 0.840471i \(-0.317722\pi\)
0.541856 + 0.840471i \(0.317722\pi\)
\(282\) 2.36443 + 16.6580i 0.140800 + 0.991971i
\(283\) 12.6067i 0.749388i 0.927148 + 0.374694i \(0.122252\pi\)
−0.927148 + 0.374694i \(0.877748\pi\)
\(284\) 4.50905 0.267563
\(285\) 28.6730 + 11.5389i 1.69844 + 0.683507i
\(286\) 2.54320 4.70329i 0.150382 0.278112i
\(287\) 1.24680 1.84450i 0.0735963 0.108878i
\(288\) −0.717779 + 2.91287i −0.0422955 + 0.171642i
\(289\) −7.39183 12.8030i −0.434813 0.753119i
\(290\) 0.244928 0.424228i 0.0143827 0.0249116i
\(291\) −15.5387 19.8325i −0.910893 1.16260i
\(292\) 3.98333 0.233107
\(293\) 24.4527 14.1178i 1.42854 0.824769i 0.431536 0.902096i \(-0.357972\pi\)
0.997006 + 0.0773264i \(0.0246383\pi\)
\(294\) 6.05572 + 10.5037i 0.353177 + 0.612590i
\(295\) −0.251876 0.436263i −0.0146648 0.0254002i
\(296\) 8.80395 5.08296i 0.511719 0.295441i
\(297\) −7.02649 + 3.16310i −0.407718 + 0.183542i
\(298\) −0.882372 1.52831i −0.0511144 0.0885328i
\(299\) 12.7169 + 6.87639i 0.735439 + 0.397672i
\(300\) −10.3907 + 1.47485i −0.599906 + 0.0851504i
\(301\) 21.7211 10.5674i 1.25198 0.609095i
\(302\) 8.77338 + 5.06531i 0.504851 + 0.291476i
\(303\) 13.5693 1.92602i 0.779537 0.110647i
\(304\) −2.68297 4.64703i −0.153879 0.266526i
\(305\) −12.1467 + 21.0387i −0.695518 + 1.20467i
\(306\) 16.2451 4.70646i 0.928669 0.269050i
\(307\) −4.60540 −0.262844 −0.131422 0.991327i \(-0.541954\pi\)
−0.131422 + 0.991327i \(0.541954\pi\)
\(308\) 3.25056 + 2.19723i 0.185218 + 0.125199i
\(309\) 17.6417 + 7.09956i 1.00360 + 0.403880i
\(310\) −3.97332 + 2.29400i −0.225669 + 0.130290i
\(311\) 3.80897 + 6.59733i 0.215987 + 0.374100i 0.953577 0.301148i \(-0.0973699\pi\)
−0.737591 + 0.675248i \(0.764037\pi\)
\(312\) −3.98720 4.80648i −0.225731 0.272113i
\(313\) 12.3381 + 7.12342i 0.697392 + 0.402639i 0.806375 0.591404i \(-0.201426\pi\)
−0.108983 + 0.994044i \(0.534760\pi\)
\(314\) −5.26499 3.03974i −0.297121 0.171543i
\(315\) −8.11276 + 25.1180i −0.457102 + 1.41524i
\(316\) 1.75435 + 3.03863i 0.0986900 + 0.170936i
\(317\) 1.03201 1.78749i 0.0579634 0.100395i −0.835588 0.549357i \(-0.814873\pi\)
0.893551 + 0.448962i \(0.148206\pi\)
\(318\) −19.7844 7.96189i −1.10946 0.446480i
\(319\) −0.189175 0.109220i −0.0105918 0.00611517i
\(320\) 2.88000 + 1.66277i 0.160997 + 0.0929515i
\(321\) −25.0959 + 19.6625i −1.40071 + 1.09746i
\(322\) −5.94096 + 8.78899i −0.331077 + 0.489791i
\(323\) −15.1258 + 26.1986i −0.841619 + 1.45773i
\(324\) 0.363431 + 8.99266i 0.0201906 + 0.499592i
\(325\) 10.3913 19.2172i 0.576403 1.06598i
\(326\) −12.7222 + 7.34518i −0.704619 + 0.406812i
\(327\) 27.8103 21.7893i 1.53791 1.20495i
\(328\) −0.728750 0.420744i −0.0402385 0.0232317i
\(329\) 14.3927 21.2925i 0.793498 1.17389i
\(330\) 1.20039 + 8.45702i 0.0660791 + 0.465544i
\(331\) 9.42599i 0.518099i 0.965864 + 0.259050i \(0.0834093\pi\)
−0.965864 + 0.259050i \(0.916591\pi\)
\(332\) −9.79380 5.65445i −0.537504 0.310328i
\(333\) 21.1253 21.9963i 1.15766 1.20539i
\(334\) 12.9138i 0.706610i
\(335\) 16.5338 28.6374i 0.903338 1.56463i
\(336\) 3.79816 2.56398i 0.207207 0.139877i
\(337\) −6.96024 −0.379148 −0.189574 0.981866i \(-0.560711\pi\)
−0.189574 + 0.981866i \(0.560711\pi\)
\(338\) 12.9798 0.725094i 0.706006 0.0394399i
\(339\) −10.9957 + 8.61511i −0.597206 + 0.467908i
\(340\) 18.7484i 1.01677i
\(341\) 1.02296 + 1.77181i 0.0553963 + 0.0959491i
\(342\) −11.6104 11.1507i −0.627819 0.602959i
\(343\) 3.90454 18.1040i 0.210825 0.977524i
\(344\) −4.56492 7.90667i −0.246124 0.426299i
\(345\) −22.8664 + 3.24565i −1.23109 + 0.174740i
\(346\) −4.29211 7.43415i −0.230745 0.399662i
\(347\) −21.3701 12.3381i −1.14721 0.662341i −0.199003 0.979999i \(-0.563770\pi\)
−0.948206 + 0.317657i \(0.897104\pi\)
\(348\) −0.200833 + 0.157352i −0.0107658 + 0.00843494i
\(349\) 10.9530 18.9712i 0.586302 1.01551i −0.408410 0.912799i \(-0.633916\pi\)
0.994712 0.102706i \(-0.0327502\pi\)
\(350\) 13.2815 + 8.97767i 0.709925 + 0.479877i
\(351\) −15.5017 10.5213i −0.827418 0.561586i
\(352\) 0.741475 1.28427i 0.0395207 0.0684519i
\(353\) 32.3100i 1.71969i 0.510559 + 0.859843i \(0.329439\pi\)
−0.510559 + 0.859843i \(0.670561\pi\)
\(354\) 0.0368713 + 0.259768i 0.00195969 + 0.0138065i
\(355\) 14.9950i 0.795853i
\(356\) 1.72669i 0.0915146i
\(357\) −23.2248 11.3166i −1.22919 0.598939i
\(358\) −5.43096 + 3.13557i −0.287035 + 0.165720i
\(359\) 11.5648 20.0308i 0.610367 1.05719i −0.380812 0.924652i \(-0.624356\pi\)
0.991179 0.132533i \(-0.0423112\pi\)
\(360\) 9.68684 + 2.38700i 0.510541 + 0.125806i
\(361\) 9.79322 0.515432
\(362\) −1.55266 + 0.896431i −0.0816062 + 0.0471154i
\(363\) −15.0923 + 2.14219i −0.792138 + 0.112436i
\(364\) −0.409149 + 9.53061i −0.0214452 + 0.499540i
\(365\) 13.2467i 0.693364i
\(366\) 9.95986 7.80352i 0.520610 0.407896i
\(367\) 6.33232i 0.330545i 0.986248 + 0.165272i \(0.0528503\pi\)
−0.986248 + 0.165272i \(0.947150\pi\)
\(368\) 3.47246 + 2.00483i 0.181015 + 0.104509i
\(369\) −2.45114 0.604002i −0.127601 0.0314431i
\(370\) −16.9036 29.2778i −0.878775 1.52208i
\(371\) 14.2516 + 29.2938i 0.739904 + 1.52086i
\(372\) 2.36587 0.335810i 0.122665 0.0174109i
\(373\) −20.1688 −1.04430 −0.522150 0.852854i \(-0.674870\pi\)
−0.522150 + 0.852854i \(0.674870\pi\)
\(374\) −8.36043 −0.432307
\(375\) 0.857366 + 6.04036i 0.0442742 + 0.311923i
\(376\) −8.41249 4.85696i −0.433841 0.250478i
\(377\) −0.0148173 0.530897i −0.000763130 0.0273426i
\(378\) 8.80396 10.5589i 0.452827 0.543091i
\(379\) 3.77772 + 2.18107i 0.194049 + 0.112034i 0.593876 0.804556i \(-0.297597\pi\)
−0.399828 + 0.916590i \(0.630930\pi\)
\(380\) −15.4539 + 8.92230i −0.792767 + 0.457704i
\(381\) −10.1572 + 25.2395i −0.520369 + 1.29306i
\(382\) 13.2662 7.65925i 0.678758 0.391881i
\(383\) 2.79397i 0.142765i 0.997449 + 0.0713825i \(0.0227411\pi\)
−0.997449 + 0.0713825i \(0.977259\pi\)
\(384\) −1.06823 1.36341i −0.0545128 0.0695763i
\(385\) 7.30697 10.8099i 0.372398 0.550921i
\(386\) 15.1366 8.73915i 0.770435 0.444811i
\(387\) −19.7545 18.9722i −1.00418 0.964413i
\(388\) 14.5462 0.738472
\(389\) −27.3534 + 15.7925i −1.38687 + 0.800710i −0.992961 0.118439i \(-0.962211\pi\)
−0.393909 + 0.919149i \(0.628878\pi\)
\(390\) −15.9841 + 13.2596i −0.809387 + 0.671424i
\(391\) 22.6052i 1.14320i
\(392\) −6.92993 0.987979i −0.350014 0.0499005i
\(393\) −5.54949 + 13.7899i −0.279935 + 0.695608i
\(394\) −0.358109 −0.0180413
\(395\) 10.1051 5.83416i 0.508441 0.293548i
\(396\) 1.06443 4.31964i 0.0534896 0.217070i
\(397\) −10.0146 −0.502619 −0.251309 0.967907i \(-0.580861\pi\)
−0.251309 + 0.967907i \(0.580861\pi\)
\(398\) 0.384502i 0.0192734i
\(399\) 1.72457 + 24.5292i 0.0863367 + 1.22800i
\(400\) 3.02959 5.24741i 0.151480 0.262370i
\(401\) 17.1269 + 29.6647i 0.855277 + 1.48138i 0.876388 + 0.481606i \(0.159946\pi\)
−0.0211107 + 0.999777i \(0.506720\pi\)
\(402\) −13.5571 + 10.6220i −0.676169 + 0.529776i
\(403\) −2.36600 + 4.37559i −0.117859 + 0.217964i
\(404\) −3.95639 + 6.85266i −0.196838 + 0.340933i
\(405\) 29.9054 1.20860i 1.48601 0.0600559i
\(406\) 0.388747 + 0.0275718i 0.0192932 + 0.00136837i
\(407\) −13.0558 + 7.53778i −0.647153 + 0.373634i
\(408\) −3.64553 + 9.05876i −0.180481 + 0.448475i
\(409\) 10.5253 18.2303i 0.520441 0.901431i −0.479276 0.877664i \(-0.659101\pi\)
0.999718 0.0237669i \(-0.00756595\pi\)
\(410\) −1.39920 + 2.42348i −0.0691015 + 0.119687i
\(411\) −7.35275 + 18.2708i −0.362685 + 0.901232i
\(412\) −9.50831 + 5.48962i −0.468441 + 0.270454i
\(413\) 0.224443 0.332038i 0.0110441 0.0163385i
\(414\) 11.6796 + 2.87805i 0.574020 + 0.141448i
\(415\) −18.8041 + 32.5696i −0.923056 + 1.59878i
\(416\) 3.60415 0.100592i 0.176708 0.00493191i
\(417\) −12.9804 + 10.1701i −0.635654 + 0.498033i
\(418\) 3.97870 + 6.89132i 0.194605 + 0.337065i
\(419\) 1.06539 1.84530i 0.0520475 0.0901490i −0.838828 0.544397i \(-0.816759\pi\)
0.890875 + 0.454248i \(0.150092\pi\)
\(420\) −8.52661 12.6309i −0.416056 0.616325i
\(421\) 4.87507i 0.237596i −0.992918 0.118798i \(-0.962096\pi\)
0.992918 0.118798i \(-0.0379041\pi\)
\(422\) 2.52081 0.122711
\(423\) −28.2953 6.97244i −1.37577 0.339012i
\(424\) 10.6632 6.15640i 0.517851 0.298981i
\(425\) −34.1599 −1.65700
\(426\) −2.91571 + 7.24523i −0.141267 + 0.351032i
\(427\) −19.2791 1.36737i −0.932979 0.0661715i
\(428\) 18.4067i 0.889721i
\(429\) 5.91282 + 7.12777i 0.285473 + 0.344132i
\(430\) −26.2939 + 15.1808i −1.26800 + 0.732083i
\(431\) 9.94472 0.479020 0.239510 0.970894i \(-0.423013\pi\)
0.239510 + 0.970894i \(0.423013\pi\)
\(432\) −4.21631 3.03690i −0.202857 0.146113i
\(433\) −26.0463 + 15.0378i −1.25170 + 0.722672i −0.971448 0.237253i \(-0.923753\pi\)
−0.280257 + 0.959925i \(0.590420\pi\)
\(434\) −3.02408 2.04414i −0.145160 0.0981218i
\(435\) 0.523279 + 0.667876i 0.0250893 + 0.0320222i
\(436\) 20.3976i 0.976867i
\(437\) −18.6330 + 10.7578i −0.891337 + 0.514614i
\(438\) −2.57576 + 6.40049i −0.123075 + 0.305827i
\(439\) −8.46632 + 4.88803i −0.404076 + 0.233293i −0.688241 0.725482i \(-0.741617\pi\)
0.284165 + 0.958775i \(0.408283\pi\)
\(440\) −4.27089 2.46580i −0.203607 0.117552i
\(441\) −20.7934 + 2.93837i −0.990163 + 0.139922i
\(442\) −10.6507 17.3133i −0.506601 0.823510i
\(443\) −20.0070 11.5511i −0.950562 0.548807i −0.0573064 0.998357i \(-0.518251\pi\)
−0.893255 + 0.449550i \(0.851585\pi\)
\(444\) 2.47446 + 17.4332i 0.117432 + 0.827341i
\(445\) 5.74218 0.272206
\(446\) −7.65141 −0.362305
\(447\) 3.02629 0.429551i 0.143139 0.0203171i
\(448\) −0.187179 + 2.63912i −0.00884340 + 0.124687i
\(449\) −11.0033 19.0584i −0.519280 0.899419i −0.999749 0.0224077i \(-0.992867\pi\)
0.480469 0.877012i \(-0.340467\pi\)
\(450\) 4.34916 17.6496i 0.205021 0.832010i
\(451\) 1.08070 + 0.623942i 0.0508881 + 0.0293803i
\(452\) 8.06486i 0.379339i
\(453\) −13.8122 + 10.8218i −0.648954 + 0.508453i
\(454\) 4.34104i 0.203735i
\(455\) 31.6944 + 1.36064i 1.48586 + 0.0637877i
\(456\) 9.20183 1.30610i 0.430915 0.0611639i
\(457\) −9.87651 + 5.70220i −0.462004 + 0.266738i −0.712886 0.701280i \(-0.752612\pi\)
0.250883 + 0.968017i \(0.419279\pi\)
\(458\) 7.25170 0.338850
\(459\) −2.94221 + 29.1462i −0.137330 + 1.36043i
\(460\) 6.66712 11.5478i 0.310856 0.538419i
\(461\) −28.6371 + 16.5336i −1.33376 + 0.770048i −0.985874 0.167489i \(-0.946434\pi\)
−0.347888 + 0.937536i \(0.613101\pi\)
\(462\) −5.63248 + 3.80225i −0.262047 + 0.176897i
\(463\) 8.90983i 0.414075i −0.978333 0.207037i \(-0.933618\pi\)
0.978333 0.207037i \(-0.0663822\pi\)
\(464\) 0.147302i 0.00683831i
\(465\) −1.11675 7.86778i −0.0517880 0.364859i
\(466\) 6.33468i 0.293449i
\(467\) 19.5630 33.8841i 0.905269 1.56797i 0.0847125 0.996405i \(-0.473003\pi\)
0.820556 0.571566i \(-0.193664\pi\)
\(468\) 10.3014 3.29866i 0.476182 0.152481i
\(469\) 26.2422 + 1.86123i 1.21175 + 0.0859435i
\(470\) −16.1520 + 27.9760i −0.745035 + 1.29044i
\(471\) 8.28884 6.49428i 0.381929 0.299240i
\(472\) −0.131186 0.0757401i −0.00603831 0.00348622i
\(473\) 6.76954 + 11.7252i 0.311264 + 0.539125i
\(474\) −6.01695 + 0.854043i −0.276367 + 0.0392275i
\(475\) 16.2566 + 28.1572i 0.745903 + 1.29194i
\(476\) 13.4129 6.52540i 0.614777 0.299091i
\(477\) 25.5866 26.6415i 1.17153 1.21983i
\(478\) 10.4023 + 18.0174i 0.475791 + 0.824095i
\(479\) 3.12257i 0.142674i −0.997452 0.0713369i \(-0.977273\pi\)
0.997452 0.0713369i \(-0.0227265\pi\)
\(480\) −4.53407 + 3.55243i −0.206951 + 0.162145i
\(481\) −32.2420 17.4341i −1.47011 0.794928i
\(482\) −14.7826 −0.673331
\(483\) −10.2807 15.2293i −0.467787 0.692957i
\(484\) 4.40043 7.62177i 0.200020 0.346444i
\(485\) 48.3739i 2.19655i
\(486\) −14.6846 5.23100i −0.666106 0.237283i
\(487\) −20.0963 11.6026i −0.910649 0.525763i −0.0300088 0.999550i \(-0.509554\pi\)
−0.880640 + 0.473786i \(0.842887\pi\)
\(488\) 7.30511i 0.330687i
\(489\) −3.57573 25.1919i −0.161700 1.13922i
\(490\) −3.28556 + 23.0457i −0.148426 + 1.04110i
\(491\) 25.1240 + 14.5054i 1.13383 + 0.654618i 0.944896 0.327372i \(-0.106163\pi\)
0.188936 + 0.981989i \(0.439496\pi\)
\(492\) 1.14729 0.898900i 0.0517240 0.0405256i
\(493\) −0.719184 + 0.415221i −0.0323904 + 0.0187006i
\(494\) −9.20235 + 17.0185i −0.414033 + 0.765697i
\(495\) −14.3651 3.53980i −0.645663 0.159102i
\(496\) −0.689813 + 1.19479i −0.0309735 + 0.0536477i
\(497\) 10.7276 5.21904i 0.481201 0.234106i
\(498\) 15.4187 12.0805i 0.690928 0.541339i
\(499\) 23.4008 + 13.5105i 1.04757 + 0.604812i 0.921967 0.387269i \(-0.126581\pi\)
0.125599 + 0.992081i \(0.459915\pi\)
\(500\) −3.05045 1.76118i −0.136420 0.0787624i
\(501\) −20.7501 8.35049i −0.927045 0.373072i
\(502\) −2.33059 + 4.03669i −0.104019 + 0.180166i
\(503\) 3.83135 + 6.63609i 0.170831 + 0.295889i 0.938711 0.344706i \(-0.112021\pi\)
−0.767879 + 0.640594i \(0.778688\pi\)
\(504\) 1.66383 + 7.76091i 0.0741128 + 0.345698i
\(505\) 22.7888 + 13.1571i 1.01409 + 0.585483i
\(506\) −5.14949 2.97306i −0.228923 0.132169i
\(507\) −7.22807 + 21.3250i −0.321010 + 0.947076i
\(508\) −7.85389 13.6033i −0.348460 0.603550i
\(509\) 16.2478 9.38065i 0.720169 0.415790i −0.0946457 0.995511i \(-0.530172\pi\)
0.814815 + 0.579721i \(0.196838\pi\)
\(510\) 30.1252 + 12.1233i 1.33397 + 0.536831i
\(511\) 9.47689 4.61054i 0.419233 0.203958i
\(512\) 1.00000 0.0441942
\(513\) 25.4248 11.4454i 1.12253 0.505327i
\(514\) 2.18878 3.79108i 0.0965429 0.167217i
\(515\) 18.2559 + 31.6202i 0.804453 + 1.39335i
\(516\) 15.6564 2.22226i 0.689235 0.0978297i
\(517\) 12.4753 + 7.20262i 0.548663 + 0.316771i
\(518\) 15.0625 22.2833i 0.661807 0.979070i
\(519\) 14.7208 2.08946i 0.646169 0.0917170i
\(520\) −0.334521 11.9857i −0.0146697 0.525609i
\(521\) 5.90431 + 10.2266i 0.258673 + 0.448034i 0.965887 0.258965i \(-0.0833816\pi\)
−0.707214 + 0.707000i \(0.750048\pi\)
\(522\) −0.122970 0.424451i −0.00538226 0.0185777i
\(523\) −13.5632 + 7.83073i −0.593078 + 0.342414i −0.766314 0.642467i \(-0.777911\pi\)
0.173236 + 0.984880i \(0.444578\pi\)
\(524\) −4.29105 7.43232i −0.187456 0.324683i
\(525\) −23.0137 + 15.5356i −1.00440 + 0.678031i
\(526\) 3.96518 2.28930i 0.172890 0.0998181i
\(527\) 7.77791 0.338811
\(528\) 1.58413 + 2.02187i 0.0689403 + 0.0879906i
\(529\) −3.46134 + 5.99521i −0.150493 + 0.260661i
\(530\) −20.4733 35.4608i −0.889305 1.54032i
\(531\) −0.441242 0.108729i −0.0191483 0.00471845i
\(532\) −11.7619 7.95050i −0.509943 0.344698i
\(533\) 0.0846466 + 3.03285i 0.00366645 + 0.131367i
\(534\) −2.77448 1.11654i −0.120064 0.0483174i
\(535\) −61.2121 −2.64643
\(536\) 9.94355i 0.429496i
\(537\) −1.52644 10.7541i −0.0658706 0.464075i
\(538\) −12.3680 −0.533223
\(539\) 10.2767 + 1.46512i 0.442650 + 0.0631073i
\(540\) −10.0993 + 14.0215i −0.434606 + 0.603388i
\(541\) 10.2488 + 5.91717i 0.440632 + 0.254399i 0.703866 0.710333i \(-0.251456\pi\)
−0.263234 + 0.964732i \(0.584789\pi\)
\(542\) 15.7597 27.2965i 0.676935 1.17249i
\(543\) −0.436395 3.07451i −0.0187275 0.131940i
\(544\) −2.81885 4.88239i −0.120857 0.209331i
\(545\) 67.8329 2.90564
\(546\) −15.0494 6.82025i −0.644054 0.291880i
\(547\) −37.4605 −1.60169 −0.800847 0.598869i \(-0.795617\pi\)
−0.800847 + 0.598869i \(0.795617\pi\)
\(548\) −5.68540 9.84740i −0.242868 0.420660i
\(549\) 6.09844 + 21.0497i 0.260275 + 0.898380i
\(550\) −4.49273 + 7.78164i −0.191571 + 0.331810i
\(551\) 0.684516 + 0.395205i 0.0291613 + 0.0168363i
\(552\) −5.46681 + 4.28322i −0.232683 + 0.182306i
\(553\) 7.69093 + 5.19872i 0.327052 + 0.221072i
\(554\) 3.41244 0.144981
\(555\) 57.9746 8.22889i 2.46088 0.349297i
\(556\) 9.52055i 0.403761i
\(557\) 40.7384 1.72614 0.863071 0.505082i \(-0.168538\pi\)
0.863071 + 0.505082i \(0.168538\pi\)
\(558\) −0.990266 + 4.01866i −0.0419213 + 0.170124i
\(559\) −15.6573 + 28.9560i −0.662233 + 1.22471i
\(560\) 8.77649 + 0.622472i 0.370875 + 0.0263042i
\(561\) 5.40614 13.4337i 0.228247 0.567170i
\(562\) −9.08316 15.7325i −0.383150 0.663636i
\(563\) 13.4233 23.2498i 0.565723 0.979861i −0.431259 0.902228i \(-0.641931\pi\)
0.996982 0.0776326i \(-0.0247361\pi\)
\(564\) 13.2441 10.3767i 0.557675 0.436937i
\(565\) −26.8200 −1.12833
\(566\) 10.9177 6.30333i 0.458905 0.264949i
\(567\) 11.2733 + 20.9741i 0.473433 + 0.880830i
\(568\) −2.25453 3.90495i −0.0945978 0.163848i
\(569\) −19.6189 + 11.3270i −0.822466 + 0.474851i −0.851266 0.524734i \(-0.824165\pi\)
0.0287998 + 0.999585i \(0.490831\pi\)
\(570\) −4.34350 30.6010i −0.181929 1.28174i
\(571\) 9.25202 + 16.0250i 0.387185 + 0.670624i 0.992070 0.125689i \(-0.0401141\pi\)
−0.604885 + 0.796313i \(0.706781\pi\)
\(572\) −5.34477 + 0.149172i −0.223476 + 0.00623721i
\(573\) 3.72863 + 26.2691i 0.155766 + 1.09741i
\(574\) −2.22079 0.157509i −0.0926939 0.00657431i
\(575\) −21.0403 12.1476i −0.877441 0.506591i
\(576\) 2.88151 0.834819i 0.120063 0.0347841i
\(577\) 18.4882 + 32.0225i 0.769674 + 1.33312i 0.937740 + 0.347339i \(0.112915\pi\)
−0.168065 + 0.985776i \(0.553752\pi\)
\(578\) −7.39183 + 12.8030i −0.307460 + 0.532536i
\(579\) 4.25434 + 29.9729i 0.176804 + 1.24563i
\(580\) −0.489857 −0.0203402
\(581\) −29.8456 2.11679i −1.23820 0.0878194i
\(582\) −9.40608 + 23.3731i −0.389895 + 0.968847i
\(583\) −15.8130 + 9.12963i −0.654907 + 0.378111i
\(584\) −1.99167 3.44967i −0.0824157 0.142748i
\(585\) −10.9698 34.2577i −0.453547 1.41638i
\(586\) −24.4527 14.1178i −1.01013 0.583200i
\(587\) −13.1402 7.58651i −0.542355 0.313129i 0.203678 0.979038i \(-0.434710\pi\)
−0.746033 + 0.665909i \(0.768044\pi\)
\(588\) 6.06863 10.4963i 0.250266 0.432859i
\(589\) −3.70149 6.41116i −0.152517 0.264167i
\(590\) −0.251876 + 0.436263i −0.0103696 + 0.0179607i
\(591\) 0.231566 0.575416i 0.00952534 0.0236694i
\(592\) −8.80395 5.08296i −0.361840 0.208908i
\(593\) −5.80586 3.35201i −0.238418 0.137651i 0.376031 0.926607i \(-0.377288\pi\)
−0.614449 + 0.788956i \(0.710622\pi\)
\(594\) 6.25257 + 4.50357i 0.256546 + 0.184784i
\(595\) −21.7005 44.6049i −0.889632 1.82862i
\(596\) −0.882372 + 1.52831i −0.0361434 + 0.0626021i
\(597\) −0.617825 0.248632i −0.0252859 0.0101758i
\(598\) −0.403338 14.4514i −0.0164937 0.590961i
\(599\) 39.1019 22.5755i 1.59766 0.922410i 0.605725 0.795674i \(-0.292883\pi\)
0.991936 0.126736i \(-0.0404502\pi\)
\(600\) 6.47259 + 8.26116i 0.264242 + 0.337260i
\(601\) 39.4613 + 22.7830i 1.60966 + 0.929338i 0.989446 + 0.144905i \(0.0462878\pi\)
0.620214 + 0.784432i \(0.287046\pi\)
\(602\) −20.0122 13.5273i −0.815636 0.551333i
\(603\) −8.30106 28.6524i −0.338045 1.16682i
\(604\) 10.1306i 0.412209i
\(605\) −25.3465 14.6338i −1.03048 0.594948i
\(606\) −8.45264 10.7884i −0.343365 0.438247i
\(607\) 47.3613i 1.92234i −0.275965 0.961168i \(-0.588997\pi\)
0.275965 0.961168i \(-0.411003\pi\)
\(608\) −2.68297 + 4.64703i −0.108809 + 0.188462i
\(609\) −0.295680 + 0.606817i −0.0119816 + 0.0245895i
\(610\) 24.2934 0.983611
\(611\) 0.977138 + 35.0104i 0.0395308 + 1.41637i
\(612\) −12.1984 11.7154i −0.493093 0.473567i
\(613\) 8.53405i 0.344687i −0.985037 0.172343i \(-0.944866\pi\)
0.985037 0.172343i \(-0.0551339\pi\)
\(614\) 2.30270 + 3.98840i 0.0929295 + 0.160959i
\(615\) −2.98933 3.81536i −0.120541 0.153850i
\(616\) 0.277578 3.91369i 0.0111839 0.157687i
\(617\) 3.23236 + 5.59861i 0.130130 + 0.225392i 0.923727 0.383053i \(-0.125127\pi\)
−0.793597 + 0.608444i \(0.791794\pi\)
\(618\) −2.67242 18.8279i −0.107501 0.757369i
\(619\) 17.5153 + 30.3373i 0.703998 + 1.21936i 0.967052 + 0.254579i \(0.0819368\pi\)
−0.263054 + 0.964781i \(0.584730\pi\)
\(620\) 3.97332 + 2.29400i 0.159572 + 0.0921291i
\(621\) −12.1769 + 16.9059i −0.488643 + 0.678412i
\(622\) 3.80897 6.59733i 0.152726 0.264529i
\(623\) 1.99858 + 4.10804i 0.0800713 + 0.164585i
\(624\) −2.16893 + 5.85626i −0.0868269 + 0.234438i
\(625\) 9.29110 16.0927i 0.371644 0.643706i
\(626\) 14.2468i 0.569418i
\(627\) −13.6459 + 1.93689i −0.544963 + 0.0773518i
\(628\) 6.07949i 0.242598i
\(629\) 57.3124i 2.28520i
\(630\) 25.8092 5.53312i 1.02826 0.220445i
\(631\) 23.4343 13.5298i 0.932906 0.538613i 0.0451764 0.998979i \(-0.485615\pi\)
0.887729 + 0.460366i \(0.152282\pi\)
\(632\) 1.75435 3.03863i 0.0697844 0.120870i
\(633\) −1.63004 + 4.05048i −0.0647884 + 0.160992i
\(634\) −2.06402 −0.0819726
\(635\) −45.2384 + 26.1184i −1.79523 + 1.03648i
\(636\) 2.99702 + 21.1148i 0.118840 + 0.837255i
\(637\) 10.0579 + 23.1482i 0.398507 + 0.917165i
\(638\) 0.218441i 0.00864816i
\(639\) −9.75636 9.37003i −0.385956 0.370673i
\(640\) 3.32554i 0.131453i
\(641\) 2.34056 + 1.35132i 0.0924467 + 0.0533741i 0.545511 0.838104i \(-0.316336\pi\)
−0.453064 + 0.891478i \(0.649669\pi\)
\(642\) 29.5762 + 11.9024i 1.16728 + 0.469750i
\(643\) 15.8433 + 27.4414i 0.624799 + 1.08218i 0.988580 + 0.150698i \(0.0481523\pi\)
−0.363781 + 0.931484i \(0.618514\pi\)
\(644\) 10.5820 + 0.750525i 0.416988 + 0.0295748i
\(645\) −7.39022 52.0659i −0.290989 2.05009i
\(646\) 30.2515 1.19023
\(647\) 31.8626 1.25265 0.626324 0.779563i \(-0.284559\pi\)
0.626324 + 0.779563i \(0.284559\pi\)
\(648\) 7.60616 4.81107i 0.298798 0.188997i
\(649\) 0.194542 + 0.112319i 0.00763644 + 0.00440890i
\(650\) −21.8382 + 0.609503i −0.856565 + 0.0239067i
\(651\) 5.24003 3.53733i 0.205373 0.138639i
\(652\) 12.7222 + 7.34518i 0.498241 + 0.287659i
\(653\) −25.7410 + 14.8616i −1.00732 + 0.581579i −0.910407 0.413714i \(-0.864231\pi\)
−0.0969169 + 0.995292i \(0.530898\pi\)
\(654\) −32.7752 13.1898i −1.28161 0.515761i
\(655\) −24.7165 + 14.2701i −0.965752 + 0.557577i
\(656\) 0.841488i 0.0328546i
\(657\) −8.61884 8.27755i −0.336253 0.322938i
\(658\) −25.6362 1.81824i −0.999403 0.0708825i
\(659\) −11.1744 + 6.45156i −0.435294 + 0.251317i −0.701599 0.712572i \(-0.747530\pi\)
0.266305 + 0.963889i \(0.414197\pi\)
\(660\) 6.72380 5.26807i 0.261724 0.205060i
\(661\) 0.581544 0.0226194 0.0113097 0.999936i \(-0.496400\pi\)
0.0113097 + 0.999936i \(0.496400\pi\)
\(662\) 8.16315 4.71299i 0.317270 0.183176i
\(663\) 34.7064 5.91832i 1.34789 0.229848i
\(664\) 11.3089i 0.438871i
\(665\) −26.4397 + 39.1146i −1.02529 + 1.51680i
\(666\) −29.6120 7.29689i −1.14744 0.282749i
\(667\) −0.590629 −0.0228692
\(668\) 11.1837 6.45688i 0.432708 0.249824i
\(669\) 4.94766 12.2944i 0.191288 0.475330i
\(670\) −33.0676 −1.27751
\(671\) 10.8331i 0.418207i
\(672\) −4.11955 2.00731i −0.158915 0.0774337i
\(673\) 14.9942 25.9708i 0.577986 1.00110i −0.417725 0.908574i \(-0.637172\pi\)
0.995710 0.0925267i \(-0.0294943\pi\)
\(674\) 3.48012 + 6.02774i 0.134049 + 0.232180i
\(675\) 25.5474 + 18.4011i 0.983319 + 0.708260i
\(676\) −7.11783 10.8783i −0.273763 0.418395i
\(677\) 7.57768 13.1249i 0.291234 0.504432i −0.682868 0.730542i \(-0.739268\pi\)
0.974102 + 0.226110i \(0.0726009\pi\)
\(678\) 12.9588 + 5.21502i 0.497678 + 0.200282i
\(679\) 34.6074 16.8366i 1.32811 0.646131i
\(680\) −16.2366 + 9.37418i −0.622644 + 0.359484i
\(681\) −6.97526 2.80707i −0.267292 0.107567i
\(682\) 1.02296 1.77181i 0.0391711 0.0678463i
\(683\) −2.14895 + 3.72209i −0.0822273 + 0.142422i −0.904206 0.427096i \(-0.859537\pi\)
0.821979 + 0.569518i \(0.192870\pi\)
\(684\) −3.85155 + 15.6302i −0.147268 + 0.597637i
\(685\) −32.7479 + 18.9070i −1.25123 + 0.722399i
\(686\) −17.6308 + 5.67057i −0.673147 + 0.216503i
\(687\) −4.68920 + 11.6522i −0.178904 + 0.444558i
\(688\) −4.56492 + 7.90667i −0.174036 + 0.301439i
\(689\) −39.0510 21.1160i −1.48773 0.804454i
\(690\) 14.2440 + 18.1801i 0.542260 + 0.692103i
\(691\) 7.14228 + 12.3708i 0.271705 + 0.470607i 0.969299 0.245887i \(-0.0790791\pi\)
−0.697593 + 0.716494i \(0.745746\pi\)
\(692\) −4.29211 + 7.43415i −0.163161 + 0.282604i
\(693\) −2.46738 11.5090i −0.0937278 0.437192i
\(694\) 24.6761i 0.936692i
\(695\) −31.6609 −1.20097
\(696\) 0.236687 + 0.0952504i 0.00897159 + 0.00361046i
\(697\) 4.10847 2.37203i 0.155619 0.0898469i
\(698\) −21.9061 −0.829156
\(699\) −10.1787 4.09623i −0.384993 0.154934i
\(700\) 1.13416 15.9909i 0.0428670 0.604400i
\(701\) 11.4867i 0.433848i 0.976189 + 0.216924i \(0.0696023\pi\)
−0.976189 + 0.216924i \(0.930398\pi\)
\(702\) −1.36089 + 18.6855i −0.0513634 + 0.705239i
\(703\) 47.2414 27.2748i 1.78174 1.02869i
\(704\) −1.48295 −0.0558908
\(705\) −34.5080 44.0436i −1.29965 1.65878i
\(706\) 27.9812 16.1550i 1.05309 0.608001i
\(707\) −1.48111 + 20.8828i −0.0557028 + 0.785377i
\(708\) 0.206530 0.161815i 0.00776187 0.00608139i
\(709\) 24.0483i 0.903153i −0.892233 0.451576i \(-0.850862\pi\)
0.892233 0.451576i \(-0.149138\pi\)
\(710\) −12.9861 + 7.49751i −0.487358 + 0.281376i
\(711\) 2.51847 10.2204i 0.0944502 0.383295i
\(712\) 1.49536 0.863347i 0.0560410 0.0323553i
\(713\) 4.79070 + 2.76591i 0.179413 + 0.103584i
\(714\) 1.81192 + 25.7716i 0.0678094 + 0.964477i
\(715\) 0.496078 + 17.7742i 0.0185523 + 0.664718i
\(716\) 5.43096 + 3.13557i 0.202965 + 0.117182i
\(717\) −35.6771 + 5.06399i −1.33239 + 0.189118i
\(718\) −23.1296 −0.863189
\(719\) 32.6674 1.21829 0.609143 0.793060i \(-0.291513\pi\)
0.609143 + 0.793060i \(0.291513\pi\)
\(720\) −2.77622 9.58255i −0.103464 0.357121i
\(721\) −16.2675 + 24.0660i −0.605835 + 0.896266i
\(722\) −4.89661 8.48117i −0.182233 0.315637i
\(723\) 9.55897 23.7530i 0.355502 0.883384i
\(724\) 1.55266 + 0.896431i 0.0577043 + 0.0333156i
\(725\) 0.892528i 0.0331477i
\(726\) 9.40132 + 11.9992i 0.348916 + 0.445332i
\(727\) 14.9530i 0.554576i −0.960787 0.277288i \(-0.910564\pi\)
0.960787 0.277288i \(-0.0894355\pi\)
\(728\) 8.45833 4.41097i 0.313486 0.163482i
\(729\) 17.9008 20.2129i 0.662993 0.748625i
\(730\) −11.4720 + 6.62335i −0.424597 + 0.245141i
\(731\) 51.4712 1.90373
\(732\) −11.7380 4.72374i −0.433848 0.174594i
\(733\) −1.87934 + 3.25511i −0.0694150 + 0.120230i −0.898644 0.438679i \(-0.855447\pi\)
0.829229 + 0.558909i \(0.188780\pi\)
\(734\) 5.48395 3.16616i 0.202416 0.116865i
\(735\) −34.9057 20.1815i −1.28752 0.744404i
\(736\) 4.00965i 0.147798i
\(737\) 14.7458i 0.543168i
\(738\) 0.702489 + 2.42475i 0.0258590 + 0.0892563i
\(739\) 18.9460i 0.696939i 0.937320 + 0.348470i \(0.113299\pi\)
−0.937320 + 0.348470i \(0.886701\pi\)
\(740\) −16.9036 + 29.2778i −0.621388 + 1.07627i
\(741\) −21.3950 25.7912i −0.785966 0.947465i
\(742\) 18.2434 26.9891i 0.669737 0.990802i
\(743\) −16.0910 + 27.8705i −0.590323 + 1.02247i 0.403866 + 0.914818i \(0.367666\pi\)
−0.994189 + 0.107651i \(0.965667\pi\)
\(744\) −1.47375 1.88100i −0.0540304 0.0689607i
\(745\) 5.08246 + 2.93436i 0.186207 + 0.107507i
\(746\) 10.0844 + 17.4667i 0.369216 + 0.639501i
\(747\) 9.44088 + 32.5867i 0.345424 + 1.19228i
\(748\) 4.18021 + 7.24034i 0.152844 + 0.264733i
\(749\) −21.3050 43.7920i −0.778467 1.60012i
\(750\) 4.80242 3.76268i 0.175360 0.137394i
\(751\) 16.2789 + 28.1960i 0.594027 + 1.02889i 0.993683 + 0.112220i \(0.0357962\pi\)
−0.399656 + 0.916665i \(0.630870\pi\)
\(752\) 9.71391i 0.354230i
\(753\) −4.97919 6.35509i −0.181452 0.231592i
\(754\) −0.452362 + 0.278281i −0.0164740 + 0.0101344i
\(755\) −33.6897 −1.22610
\(756\) −13.5463 2.34500i −0.492672 0.0852869i
\(757\) −11.8978 + 20.6076i −0.432433 + 0.748997i −0.997082 0.0763346i \(-0.975678\pi\)
0.564649 + 0.825331i \(0.309012\pi\)
\(758\) 4.36214i 0.158440i
\(759\) 8.10700 6.35181i 0.294265 0.230556i
\(760\) 15.4539 + 8.92230i 0.560571 + 0.323646i
\(761\) 39.7719i 1.44173i −0.693076 0.720865i \(-0.743745\pi\)
0.693076 0.720865i \(-0.256255\pi\)
\(762\) 26.9367 3.82338i 0.975812 0.138506i
\(763\) 23.6094 + 48.5286i 0.854716 + 1.75685i
\(764\) −13.2662 7.65925i −0.479954 0.277102i
\(765\) −38.9600 + 40.5664i −1.40860 + 1.46668i
\(766\) 2.41965 1.39698i 0.0874254 0.0504751i
\(767\) 0.0152376 + 0.545957i 0.000550199 + 0.0197134i
\(768\) −0.646635 + 1.60682i −0.0233334 + 0.0579810i
\(769\) −1.55242 + 2.68887i −0.0559817 + 0.0969632i −0.892658 0.450734i \(-0.851162\pi\)
0.836676 + 0.547697i \(0.184496\pi\)
\(770\) −13.0151 0.923095i −0.469032 0.0332660i
\(771\) 4.67623 + 5.96841i 0.168410 + 0.214947i
\(772\) −15.1366 8.73915i −0.544780 0.314529i
\(773\) 21.1321 + 12.2006i 0.760069 + 0.438826i 0.829321 0.558773i \(-0.188728\pi\)
−0.0692513 + 0.997599i \(0.522061\pi\)
\(774\) −6.55320 +