Properties

Label 546.2.bi.f.17.16
Level $546$
Weight $2$
Character 546.17
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 17.16
Character \(\chi\) \(=\) 546.17
Dual form 546.2.bi.f.257.16

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000 q^{2} +(1.73046 - 0.0741172i) q^{3} +1.00000 q^{4} +(-1.09866 + 0.634311i) q^{5} +(1.73046 - 0.0741172i) q^{6} +(0.151485 + 2.64141i) q^{7} +1.00000 q^{8} +(2.98901 - 0.256514i) q^{9} +O(q^{10})\) \(q+1.00000 q^{2} +(1.73046 - 0.0741172i) q^{3} +1.00000 q^{4} +(-1.09866 + 0.634311i) q^{5} +(1.73046 - 0.0741172i) q^{6} +(0.151485 + 2.64141i) q^{7} +1.00000 q^{8} +(2.98901 - 0.256514i) q^{9} +(-1.09866 + 0.634311i) q^{10} +(2.57517 + 4.46032i) q^{11} +(1.73046 - 0.0741172i) q^{12} +(-2.55917 - 2.53981i) q^{13} +(0.151485 + 2.64141i) q^{14} +(-1.85418 + 1.17908i) q^{15} +1.00000 q^{16} -5.00288 q^{17} +(2.98901 - 0.256514i) q^{18} +(3.30166 - 5.71864i) q^{19} +(-1.09866 + 0.634311i) q^{20} +(0.457914 + 4.55964i) q^{21} +(2.57517 + 4.46032i) q^{22} -2.70000i q^{23} +(1.73046 - 0.0741172i) q^{24} +(-1.69530 + 2.93635i) q^{25} +(-2.55917 - 2.53981i) q^{26} +(5.15337 - 0.665427i) q^{27} +(0.151485 + 2.64141i) q^{28} +(-0.776779 - 0.448474i) q^{29} +(-1.85418 + 1.17908i) q^{30} +(4.25869 - 7.37627i) q^{31} +1.00000 q^{32} +(4.78682 + 7.52756i) q^{33} -5.00288 q^{34} +(-1.84191 - 2.80592i) q^{35} +(2.98901 - 0.256514i) q^{36} -5.53284i q^{37} +(3.30166 - 5.71864i) q^{38} +(-4.61679 - 4.20538i) q^{39} +(-1.09866 + 0.634311i) q^{40} +(4.54200 + 2.62233i) q^{41} +(0.457914 + 4.55964i) q^{42} +(1.72068 + 2.98031i) q^{43} +(2.57517 + 4.46032i) q^{44} +(-3.12119 + 2.17779i) q^{45} -2.70000i q^{46} +(-4.18472 + 2.41605i) q^{47} +(1.73046 - 0.0741172i) q^{48} +(-6.95410 + 0.800271i) q^{49} +(-1.69530 + 2.93635i) q^{50} +(-8.65730 + 0.370800i) q^{51} +(-2.55917 - 2.53981i) q^{52} +(-11.7150 - 6.76369i) q^{53} +(5.15337 - 0.665427i) q^{54} +(-5.65846 - 3.26691i) q^{55} +(0.151485 + 2.64141i) q^{56} +(5.28955 - 10.1406i) q^{57} +(-0.776779 - 0.448474i) q^{58} -11.8335i q^{59} +(-1.85418 + 1.17908i) q^{60} +(4.04224 + 2.33379i) q^{61} +(4.25869 - 7.37627i) q^{62} +(1.13035 + 7.85635i) q^{63} +1.00000 q^{64} +(4.42268 + 1.16708i) q^{65} +(4.78682 + 7.52756i) q^{66} +(-10.0157 + 5.78259i) q^{67} -5.00288 q^{68} +(-0.200117 - 4.67226i) q^{69} +(-1.84191 - 2.80592i) q^{70} +(3.79105 + 6.56628i) q^{71} +(2.98901 - 0.256514i) q^{72} +(0.210796 - 0.365109i) q^{73} -5.53284i q^{74} +(-2.71602 + 5.20689i) q^{75} +(3.30166 - 5.71864i) q^{76} +(-11.3914 + 7.47775i) q^{77} +(-4.61679 - 4.20538i) q^{78} +(-2.95006 - 5.10965i) q^{79} +(-1.09866 + 0.634311i) q^{80} +(8.86840 - 1.53345i) q^{81} +(4.54200 + 2.62233i) q^{82} +9.22131i q^{83} +(0.457914 + 4.55964i) q^{84} +(5.49645 - 3.17338i) q^{85} +(1.72068 + 2.98031i) q^{86} +(-1.37743 - 0.718495i) q^{87} +(2.57517 + 4.46032i) q^{88} -8.30846i q^{89} +(-3.12119 + 2.17779i) q^{90} +(6.32102 - 7.14456i) q^{91} -2.70000i q^{92} +(6.82280 - 13.0800i) q^{93} +(-4.18472 + 2.41605i) q^{94} +8.37711i q^{95} +(1.73046 - 0.0741172i) q^{96} +(6.21010 + 10.7562i) q^{97} +(-6.95410 + 0.800271i) q^{98} +(8.84134 + 12.6714i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q + 34q^{2} + 6q^{3} + 34q^{4} + 9q^{5} + 6q^{6} + 4q^{7} + 34q^{8} + 4q^{9} + O(q^{10}) \) \( 34q + 34q^{2} + 6q^{3} + 34q^{4} + 9q^{5} + 6q^{6} + 4q^{7} + 34q^{8} + 4q^{9} + 9q^{10} + 9q^{11} + 6q^{12} + 8q^{13} + 4q^{14} - 17q^{15} + 34q^{16} + 12q^{17} + 4q^{18} - 5q^{19} + 9q^{20} - 7q^{21} + 9q^{22} + 6q^{24} + 16q^{25} + 8q^{26} - 18q^{27} + 4q^{28} + 27q^{29} - 17q^{30} - q^{31} + 34q^{32} + 12q^{34} - 3q^{35} + 4q^{36} - 5q^{38} - 10q^{39} + 9q^{40} - 3q^{41} - 7q^{42} - 3q^{43} + 9q^{44} + 9q^{45} - 27q^{47} + 6q^{48} - 2q^{49} + 16q^{50} - 36q^{51} + 8q^{52} - 21q^{53} - 18q^{54} - 57q^{55} + 4q^{56} - 17q^{57} + 27q^{58} - 17q^{60} - 51q^{61} - q^{62} - 24q^{63} + 34q^{64} - 21q^{65} - 21q^{67} + 12q^{68} + 30q^{69} - 3q^{70} - 15q^{71} + 4q^{72} - 19q^{73} - 54q^{75} - 5q^{76} + 9q^{77} - 10q^{78} - 9q^{79} + 9q^{80} + 28q^{81} - 3q^{82} - 7q^{84} - 42q^{85} - 3q^{86} - 81q^{87} + 9q^{88} + 9q^{90} - 72q^{91} - 17q^{93} - 27q^{94} + 6q^{96} + 19q^{97} - 2q^{98} - 27q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000 0.707107
\(3\) 1.73046 0.0741172i 0.999084 0.0427916i
\(4\) 1.00000 0.500000
\(5\) −1.09866 + 0.634311i −0.491335 + 0.283672i −0.725128 0.688614i \(-0.758219\pi\)
0.233793 + 0.972286i \(0.424886\pi\)
\(6\) 1.73046 0.0741172i 0.706459 0.0302582i
\(7\) 0.151485 + 2.64141i 0.0572561 + 0.998360i
\(8\) 1.00000 0.353553
\(9\) 2.98901 0.256514i 0.996338 0.0855048i
\(10\) −1.09866 + 0.634311i −0.347426 + 0.200587i
\(11\) 2.57517 + 4.46032i 0.776442 + 1.34484i 0.933981 + 0.357324i \(0.116311\pi\)
−0.157539 + 0.987513i \(0.550356\pi\)
\(12\) 1.73046 0.0741172i 0.499542 0.0213958i
\(13\) −2.55917 2.53981i −0.709786 0.704418i
\(14\) 0.151485 + 2.64141i 0.0404862 + 0.705947i
\(15\) −1.85418 + 1.17908i −0.478746 + 0.304438i
\(16\) 1.00000 0.250000
\(17\) −5.00288 −1.21338 −0.606688 0.794940i \(-0.707502\pi\)
−0.606688 + 0.794940i \(0.707502\pi\)
\(18\) 2.98901 0.256514i 0.704517 0.0604610i
\(19\) 3.30166 5.71864i 0.757453 1.31195i −0.186693 0.982418i \(-0.559777\pi\)
0.944146 0.329528i \(-0.106890\pi\)
\(20\) −1.09866 + 0.634311i −0.245668 + 0.141836i
\(21\) 0.457914 + 4.55964i 0.0999251 + 0.994995i
\(22\) 2.57517 + 4.46032i 0.549027 + 0.950943i
\(23\) 2.70000i 0.562990i −0.959563 0.281495i \(-0.909170\pi\)
0.959563 0.281495i \(-0.0908303\pi\)
\(24\) 1.73046 0.0741172i 0.353230 0.0151291i
\(25\) −1.69530 + 2.93635i −0.339060 + 0.587269i
\(26\) −2.55917 2.53981i −0.501894 0.498099i
\(27\) 5.15337 0.665427i 0.991766 0.128061i
\(28\) 0.151485 + 2.64141i 0.0286281 + 0.499180i
\(29\) −0.776779 0.448474i −0.144244 0.0832794i 0.426141 0.904657i \(-0.359873\pi\)
−0.570385 + 0.821377i \(0.693206\pi\)
\(30\) −1.85418 + 1.17908i −0.338525 + 0.215270i
\(31\) 4.25869 7.37627i 0.764883 1.32482i −0.175425 0.984493i \(-0.556130\pi\)
0.940308 0.340324i \(-0.110537\pi\)
\(32\) 1.00000 0.176777
\(33\) 4.78682 + 7.52756i 0.833278 + 1.31038i
\(34\) −5.00288 −0.857987
\(35\) −1.84191 2.80592i −0.311339 0.474287i
\(36\) 2.98901 0.256514i 0.498169 0.0427524i
\(37\) 5.53284i 0.909593i −0.890595 0.454797i \(-0.849712\pi\)
0.890595 0.454797i \(-0.150288\pi\)
\(38\) 3.30166 5.71864i 0.535600 0.927686i
\(39\) −4.61679 4.20538i −0.739279 0.673400i
\(40\) −1.09866 + 0.634311i −0.173713 + 0.100293i
\(41\) 4.54200 + 2.62233i 0.709342 + 0.409539i 0.810817 0.585299i \(-0.199023\pi\)
−0.101476 + 0.994838i \(0.532356\pi\)
\(42\) 0.457914 + 4.55964i 0.0706577 + 0.703568i
\(43\) 1.72068 + 2.98031i 0.262402 + 0.454493i 0.966880 0.255233i \(-0.0821521\pi\)
−0.704478 + 0.709726i \(0.748819\pi\)
\(44\) 2.57517 + 4.46032i 0.388221 + 0.672418i
\(45\) −3.12119 + 2.17779i −0.465280 + 0.324645i
\(46\) 2.70000i 0.398094i
\(47\) −4.18472 + 2.41605i −0.610404 + 0.352417i −0.773124 0.634255i \(-0.781307\pi\)
0.162719 + 0.986672i \(0.447973\pi\)
\(48\) 1.73046 0.0741172i 0.249771 0.0106979i
\(49\) −6.95410 + 0.800271i −0.993443 + 0.114324i
\(50\) −1.69530 + 2.93635i −0.239752 + 0.415262i
\(51\) −8.65730 + 0.370800i −1.21226 + 0.0519223i
\(52\) −2.55917 2.53981i −0.354893 0.352209i
\(53\) −11.7150 6.76369i −1.60919 0.929064i −0.989553 0.144172i \(-0.953948\pi\)
−0.619633 0.784891i \(-0.712719\pi\)
\(54\) 5.15337 0.665427i 0.701285 0.0905531i
\(55\) −5.65846 3.26691i −0.762986 0.440510i
\(56\) 0.151485 + 2.64141i 0.0202431 + 0.352973i
\(57\) 5.28955 10.1406i 0.700618 1.34316i
\(58\) −0.776779 0.448474i −0.101996 0.0588875i
\(59\) 11.8335i 1.54059i −0.637687 0.770296i \(-0.720109\pi\)
0.637687 0.770296i \(-0.279891\pi\)
\(60\) −1.85418 + 1.17908i −0.239373 + 0.152219i
\(61\) 4.04224 + 2.33379i 0.517556 + 0.298811i 0.735934 0.677053i \(-0.236743\pi\)
−0.218378 + 0.975864i \(0.570077\pi\)
\(62\) 4.25869 7.37627i 0.540854 0.936787i
\(63\) 1.13035 + 7.85635i 0.142411 + 0.989808i
\(64\) 1.00000 0.125000
\(65\) 4.42268 + 1.16708i 0.548566 + 0.144758i
\(66\) 4.78682 + 7.52756i 0.589217 + 0.926578i
\(67\) −10.0157 + 5.78259i −1.22362 + 0.706456i −0.965687 0.259707i \(-0.916374\pi\)
−0.257931 + 0.966163i \(0.583041\pi\)
\(68\) −5.00288 −0.606688
\(69\) −0.200117 4.67226i −0.0240912 0.562474i
\(70\) −1.84191 2.80592i −0.220150 0.335372i
\(71\) 3.79105 + 6.56628i 0.449914 + 0.779274i 0.998380 0.0568986i \(-0.0181212\pi\)
−0.548466 + 0.836173i \(0.684788\pi\)
\(72\) 2.98901 0.256514i 0.352259 0.0302305i
\(73\) 0.210796 0.365109i 0.0246718 0.0427328i −0.853426 0.521214i \(-0.825479\pi\)
0.878098 + 0.478481i \(0.158813\pi\)
\(74\) 5.53284i 0.643180i
\(75\) −2.71602 + 5.20689i −0.313619 + 0.601240i
\(76\) 3.30166 5.71864i 0.378726 0.655973i
\(77\) −11.3914 + 7.47775i −1.29817 + 0.852168i
\(78\) −4.61679 4.20538i −0.522749 0.476165i
\(79\) −2.95006 5.10965i −0.331908 0.574881i 0.650978 0.759096i \(-0.274359\pi\)
−0.982886 + 0.184216i \(0.941026\pi\)
\(80\) −1.09866 + 0.634311i −0.122834 + 0.0709181i
\(81\) 8.86840 1.53345i 0.985378 0.170383i
\(82\) 4.54200 + 2.62233i 0.501580 + 0.289588i
\(83\) 9.22131i 1.01217i 0.862484 + 0.506085i \(0.168908\pi\)
−0.862484 + 0.506085i \(0.831092\pi\)
\(84\) 0.457914 + 4.55964i 0.0499625 + 0.497497i
\(85\) 5.49645 3.17338i 0.596174 0.344201i
\(86\) 1.72068 + 2.98031i 0.185546 + 0.321375i
\(87\) −1.37743 0.718495i −0.147676 0.0770307i
\(88\) 2.57517 + 4.46032i 0.274514 + 0.475472i
\(89\) 8.30846i 0.880695i −0.897827 0.440348i \(-0.854855\pi\)
0.897827 0.440348i \(-0.145145\pi\)
\(90\) −3.12119 + 2.17779i −0.329003 + 0.229559i
\(91\) 6.32102 7.14456i 0.662623 0.748954i
\(92\) 2.70000i 0.281495i
\(93\) 6.82280 13.0800i 0.707492 1.35633i
\(94\) −4.18472 + 2.41605i −0.431621 + 0.249197i
\(95\) 8.37711i 0.859474i
\(96\) 1.73046 0.0741172i 0.176615 0.00756456i
\(97\) 6.21010 + 10.7562i 0.630540 + 1.09213i 0.987441 + 0.157985i \(0.0504999\pi\)
−0.356901 + 0.934142i \(0.616167\pi\)
\(98\) −6.95410 + 0.800271i −0.702471 + 0.0808396i
\(99\) 8.84134 + 12.6714i 0.888588 + 1.27352i
\(100\) −1.69530 + 2.93635i −0.169530 + 0.293635i
\(101\) −4.72713 8.18763i −0.470367 0.814699i 0.529059 0.848585i \(-0.322545\pi\)
−0.999426 + 0.0338859i \(0.989212\pi\)
\(102\) −8.65730 + 0.370800i −0.857201 + 0.0367146i
\(103\) −15.4442 + 8.91672i −1.52176 + 0.878590i −0.522093 + 0.852888i \(0.674849\pi\)
−0.999670 + 0.0257017i \(0.991818\pi\)
\(104\) −2.55917 2.53981i −0.250947 0.249049i
\(105\) −3.39532 4.71903i −0.331349 0.460530i
\(106\) −11.7150 6.76369i −1.13787 0.656947i
\(107\) 9.73378i 0.941000i 0.882400 + 0.470500i \(0.155926\pi\)
−0.882400 + 0.470500i \(0.844074\pi\)
\(108\) 5.15337 0.665427i 0.495883 0.0640307i
\(109\) 9.16977 + 5.29417i 0.878305 + 0.507090i 0.870099 0.492877i \(-0.164055\pi\)
0.00820581 + 0.999966i \(0.497388\pi\)
\(110\) −5.65846 3.26691i −0.539513 0.311488i
\(111\) −0.410079 9.57438i −0.0389230 0.908760i
\(112\) 0.151485 + 2.64141i 0.0143140 + 0.249590i
\(113\) 2.68329 1.54920i 0.252422 0.145736i −0.368451 0.929647i \(-0.620112\pi\)
0.620873 + 0.783911i \(0.286778\pi\)
\(114\) 5.28955 10.1406i 0.495412 0.949756i
\(115\) 1.71264 + 2.96638i 0.159705 + 0.276617i
\(116\) −0.776779 0.448474i −0.0721221 0.0416397i
\(117\) −8.30089 6.93507i −0.767417 0.641148i
\(118\) 11.8335i 1.08936i
\(119\) −0.757863 13.2147i −0.0694732 1.21139i
\(120\) −1.85418 + 1.17908i −0.169262 + 0.107635i
\(121\) −7.76296 + 13.4458i −0.705724 + 1.22235i
\(122\) 4.04224 + 2.33379i 0.365967 + 0.211291i
\(123\) 8.05413 + 4.20120i 0.726217 + 0.378810i
\(124\) 4.25869 7.37627i 0.382442 0.662408i
\(125\) 10.6445i 0.952073i
\(126\) 1.13035 + 7.85635i 0.100700 + 0.699900i
\(127\) 5.87399 10.1740i 0.521232 0.902800i −0.478463 0.878108i \(-0.658806\pi\)
0.999695 0.0246926i \(-0.00786069\pi\)
\(128\) 1.00000 0.0883883
\(129\) 3.19847 + 5.02979i 0.281610 + 0.442848i
\(130\) 4.42268 + 1.16708i 0.387895 + 0.102360i
\(131\) −2.35882 4.08559i −0.206091 0.356960i 0.744389 0.667746i \(-0.232741\pi\)
−0.950480 + 0.310787i \(0.899408\pi\)
\(132\) 4.78682 + 7.52756i 0.416639 + 0.655190i
\(133\) 15.6054 + 7.85475i 1.35316 + 0.681093i
\(134\) −10.0157 + 5.78259i −0.865229 + 0.499540i
\(135\) −5.23970 + 3.99991i −0.450962 + 0.344258i
\(136\) −5.00288 −0.428993
\(137\) −9.61868 −0.821779 −0.410890 0.911685i \(-0.634782\pi\)
−0.410890 + 0.911685i \(0.634782\pi\)
\(138\) −0.200117 4.67226i −0.0170351 0.397729i
\(139\) −1.81406 + 1.04735i −0.153867 + 0.0888349i −0.574956 0.818184i \(-0.694981\pi\)
0.421090 + 0.907019i \(0.361648\pi\)
\(140\) −1.84191 2.80592i −0.155669 0.237143i
\(141\) −7.06244 + 4.49105i −0.594765 + 0.378215i
\(142\) 3.79105 + 6.56628i 0.318137 + 0.551030i
\(143\) 4.73810 17.9552i 0.396220 1.50149i
\(144\) 2.98901 0.256514i 0.249084 0.0213762i
\(145\) 1.13789 0.0944963
\(146\) 0.210796 0.365109i 0.0174456 0.0302166i
\(147\) −11.9745 + 1.90026i −0.987641 + 0.156731i
\(148\) 5.53284i 0.454797i
\(149\) 3.85315 6.67385i 0.315662 0.546743i −0.663916 0.747807i \(-0.731107\pi\)
0.979578 + 0.201064i \(0.0644400\pi\)
\(150\) −2.71602 + 5.20689i −0.221762 + 0.425141i
\(151\) 0.525736 + 0.303534i 0.0427838 + 0.0247012i 0.521239 0.853411i \(-0.325470\pi\)
−0.478456 + 0.878112i \(0.658803\pi\)
\(152\) 3.30166 5.71864i 0.267800 0.463843i
\(153\) −14.9537 + 1.28331i −1.20893 + 0.103750i
\(154\) −11.3914 + 7.47775i −0.917948 + 0.602574i
\(155\) 10.8053i 0.867905i
\(156\) −4.61679 4.20538i −0.369639 0.336700i
\(157\) 11.5582 + 6.67311i 0.922442 + 0.532572i 0.884413 0.466704i \(-0.154559\pi\)
0.0380288 + 0.999277i \(0.487892\pi\)
\(158\) −2.95006 5.10965i −0.234694 0.406502i
\(159\) −20.7738 10.8360i −1.64747 0.859353i
\(160\) −1.09866 + 0.634311i −0.0868566 + 0.0501467i
\(161\) 7.13182 0.409011i 0.562066 0.0322346i
\(162\) 8.86840 1.53345i 0.696767 0.120479i
\(163\) 13.0162 + 7.51490i 1.01951 + 0.588612i 0.913961 0.405802i \(-0.133008\pi\)
0.105545 + 0.994414i \(0.466341\pi\)
\(164\) 4.54200 + 2.62233i 0.354671 + 0.204769i
\(165\) −10.0339 5.23388i −0.781137 0.407457i
\(166\) 9.22131i 0.715712i
\(167\) −14.6300 8.44665i −1.13211 0.653622i −0.187642 0.982237i \(-0.560085\pi\)
−0.944464 + 0.328616i \(0.893418\pi\)
\(168\) 0.457914 + 4.55964i 0.0353289 + 0.351784i
\(169\) 0.0986879 + 12.9996i 0.00759138 + 0.999971i
\(170\) 5.49645 3.17338i 0.421559 0.243387i
\(171\) 8.40179 17.9400i 0.642501 1.37191i
\(172\) 1.72068 + 2.98031i 0.131201 + 0.227247i
\(173\) −0.256422 + 0.444137i −0.0194954 + 0.0337671i −0.875609 0.483021i \(-0.839539\pi\)
0.856113 + 0.516789i \(0.172873\pi\)
\(174\) −1.37743 0.718495i −0.104423 0.0544689i
\(175\) −8.01291 4.03317i −0.605719 0.304879i
\(176\) 2.57517 + 4.46032i 0.194110 + 0.336209i
\(177\) −0.877067 20.4775i −0.0659244 1.53918i
\(178\) 8.30846i 0.622746i
\(179\) −6.94512 + 4.00977i −0.519103 + 0.299704i −0.736567 0.676364i \(-0.763555\pi\)
0.217465 + 0.976068i \(0.430221\pi\)
\(180\) −3.12119 + 2.17779i −0.232640 + 0.162323i
\(181\) 0.459074i 0.0341227i −0.999854 0.0170614i \(-0.994569\pi\)
0.999854 0.0170614i \(-0.00543106\pi\)
\(182\) 6.32102 7.14456i 0.468545 0.529590i
\(183\) 7.16793 + 3.73894i 0.529869 + 0.276390i
\(184\) 2.70000i 0.199047i
\(185\) 3.50954 + 6.07870i 0.258026 + 0.446915i
\(186\) 6.82280 13.0800i 0.500272 0.959073i
\(187\) −12.8832 22.3144i −0.942116 1.63179i
\(188\) −4.18472 + 2.41605i −0.305202 + 0.176209i
\(189\) 2.53833 + 13.5114i 0.184636 + 0.982807i
\(190\) 8.37711i 0.607740i
\(191\) −8.74352 5.04808i −0.632659 0.365266i 0.149122 0.988819i \(-0.452355\pi\)
−0.781781 + 0.623553i \(0.785689\pi\)
\(192\) 1.73046 0.0741172i 0.124886 0.00534895i
\(193\) 7.17088 4.14011i 0.516171 0.298011i −0.219196 0.975681i \(-0.570343\pi\)
0.735367 + 0.677669i \(0.237010\pi\)
\(194\) 6.21010 + 10.7562i 0.445859 + 0.772251i
\(195\) 7.73980 + 1.69179i 0.554258 + 0.121152i
\(196\) −6.95410 + 0.800271i −0.496722 + 0.0571622i
\(197\) −7.07350 + 12.2517i −0.503966 + 0.872895i 0.496023 + 0.868309i \(0.334793\pi\)
−0.999989 + 0.00458596i \(0.998540\pi\)
\(198\) 8.84134 + 12.6714i 0.628327 + 0.900516i
\(199\) 15.3246i 1.08633i 0.839626 + 0.543164i \(0.182774\pi\)
−0.839626 + 0.543164i \(0.817226\pi\)
\(200\) −1.69530 + 2.93635i −0.119876 + 0.207631i
\(201\) −16.9033 + 10.7489i −1.19227 + 0.758170i
\(202\) −4.72713 8.18763i −0.332600 0.576079i
\(203\) 1.06693 2.11973i 0.0748840 0.148776i
\(204\) −8.65730 + 0.370800i −0.606132 + 0.0259612i
\(205\) −6.65348 −0.464699
\(206\) −15.4442 + 8.91672i −1.07605 + 0.621257i
\(207\) −0.692590 8.07035i −0.0481384 0.560928i
\(208\) −2.55917 2.53981i −0.177446 0.176104i
\(209\) 34.0093 2.35247
\(210\) −3.39532 4.71903i −0.234299 0.325644i
\(211\) 4.63016 8.01968i 0.318754 0.552097i −0.661475 0.749967i \(-0.730069\pi\)
0.980228 + 0.197870i \(0.0634025\pi\)
\(212\) −11.7150 6.76369i −0.804593 0.464532i
\(213\) 7.04694 + 11.0817i 0.482849 + 0.759308i
\(214\) 9.73378i 0.665388i
\(215\) −3.78089 2.18290i −0.257854 0.148872i
\(216\) 5.15337 0.665427i 0.350642 0.0452765i
\(217\) 20.1289 + 10.1316i 1.36644 + 0.687775i
\(218\) 9.16977 + 5.29417i 0.621055 + 0.358567i
\(219\) 0.337714 0.647432i 0.0228206 0.0437494i
\(220\) −5.65846 3.26691i −0.381493 0.220255i
\(221\) 12.8032 + 12.7064i 0.861237 + 0.854724i
\(222\) −0.410079 9.57438i −0.0275227 0.642590i
\(223\) 6.58695 11.4089i 0.441095 0.763998i −0.556676 0.830729i \(-0.687924\pi\)
0.997771 + 0.0667312i \(0.0212570\pi\)
\(224\) 0.151485 + 2.64141i 0.0101215 + 0.176487i
\(225\) −4.31406 + 9.21164i −0.287604 + 0.614110i
\(226\) 2.68329 1.54920i 0.178490 0.103051i
\(227\) 2.37069i 0.157348i −0.996900 0.0786742i \(-0.974931\pi\)
0.996900 0.0786742i \(-0.0250687\pi\)
\(228\) 5.28955 10.1406i 0.350309 0.671579i
\(229\) 5.91454 + 10.2443i 0.390844 + 0.676961i 0.992561 0.121748i \(-0.0388500\pi\)
−0.601717 + 0.798709i \(0.705517\pi\)
\(230\) 1.71264 + 2.96638i 0.112928 + 0.195598i
\(231\) −19.1582 + 13.7843i −1.26052 + 0.906939i
\(232\) −0.776779 0.448474i −0.0509980 0.0294437i
\(233\) 6.84440 3.95162i 0.448392 0.258879i −0.258759 0.965942i \(-0.583314\pi\)
0.707151 + 0.707063i \(0.249980\pi\)
\(234\) −8.30089 6.93507i −0.542646 0.453360i
\(235\) 3.06505 5.30883i 0.199942 0.346310i
\(236\) 11.8335i 0.770296i
\(237\) −5.48369 8.62342i −0.356204 0.560151i
\(238\) −0.757863 13.2147i −0.0491250 0.856579i
\(239\) 27.3019 1.76601 0.883007 0.469360i \(-0.155515\pi\)
0.883007 + 0.469360i \(0.155515\pi\)
\(240\) −1.85418 + 1.17908i −0.119687 + 0.0761094i
\(241\) −11.2815 −0.726707 −0.363353 0.931651i \(-0.618368\pi\)
−0.363353 + 0.931651i \(0.618368\pi\)
\(242\) −7.76296 + 13.4458i −0.499022 + 0.864332i
\(243\) 15.2328 3.31088i 0.977184 0.212393i
\(244\) 4.04224 + 2.33379i 0.258778 + 0.149406i
\(245\) 7.13257 5.29029i 0.455683 0.337984i
\(246\) 8.05413 + 4.20120i 0.513513 + 0.267859i
\(247\) −22.9738 + 6.24937i −1.46179 + 0.397638i
\(248\) 4.25869 7.37627i 0.270427 0.468393i
\(249\) 0.683458 + 15.9571i 0.0433124 + 1.01124i
\(250\) 10.6445i 0.673217i
\(251\) 11.3067 + 19.5838i 0.713675 + 1.23612i 0.963469 + 0.267822i \(0.0863038\pi\)
−0.249794 + 0.968299i \(0.580363\pi\)
\(252\) 1.13035 + 7.85635i 0.0712055 + 0.494904i
\(253\) 12.0429 6.95296i 0.757130 0.437129i
\(254\) 5.87399 10.1740i 0.368567 0.638376i
\(255\) 9.27622 5.89880i 0.580899 0.369397i
\(256\) 1.00000 0.0625000
\(257\) −1.36558 −0.0851824 −0.0425912 0.999093i \(-0.513561\pi\)
−0.0425912 + 0.999093i \(0.513561\pi\)
\(258\) 3.19847 + 5.02979i 0.199128 + 0.313141i
\(259\) 14.6145 0.838145i 0.908101 0.0520798i
\(260\) 4.42268 + 1.16708i 0.274283 + 0.0723792i
\(261\) −2.43684 1.14124i −0.150837 0.0706409i
\(262\) −2.35882 4.08559i −0.145728 0.252409i
\(263\) −9.36276 + 5.40559i −0.577333 + 0.333323i −0.760073 0.649838i \(-0.774837\pi\)
0.182740 + 0.983161i \(0.441503\pi\)
\(264\) 4.78682 + 7.52756i 0.294608 + 0.463289i
\(265\) 17.1611 1.05420
\(266\) 15.6054 + 7.85475i 0.956831 + 0.481605i
\(267\) −0.615800 14.3775i −0.0376864 0.879889i
\(268\) −10.0157 + 5.78259i −0.611809 + 0.353228i
\(269\) −22.9534 −1.39949 −0.699747 0.714391i \(-0.746704\pi\)
−0.699747 + 0.714391i \(0.746704\pi\)
\(270\) −5.23970 + 3.99991i −0.318878 + 0.243427i
\(271\) −15.5927 −0.947192 −0.473596 0.880742i \(-0.657044\pi\)
−0.473596 + 0.880742i \(0.657044\pi\)
\(272\) −5.00288 −0.303344
\(273\) 10.4088 12.8319i 0.629967 0.776622i
\(274\) −9.61868 −0.581086
\(275\) −17.4627 −1.05304
\(276\) −0.200117 4.67226i −0.0120456 0.281237i
\(277\) 22.3309 1.34173 0.670867 0.741577i \(-0.265922\pi\)
0.670867 + 0.741577i \(0.265922\pi\)
\(278\) −1.81406 + 1.04735i −0.108800 + 0.0628158i
\(279\) 10.8372 23.1402i 0.648804 1.38537i
\(280\) −1.84191 2.80592i −0.110075 0.167686i
\(281\) 21.7986 1.30040 0.650199 0.759764i \(-0.274686\pi\)
0.650199 + 0.759764i \(0.274686\pi\)
\(282\) −7.06244 + 4.49105i −0.420562 + 0.267438i
\(283\) 3.89678 2.24981i 0.231639 0.133737i −0.379689 0.925114i \(-0.623969\pi\)
0.611328 + 0.791377i \(0.290636\pi\)
\(284\) 3.79105 + 6.56628i 0.224957 + 0.389637i
\(285\) 0.620888 + 14.4963i 0.0367783 + 0.858686i
\(286\) 4.73810 17.9552i 0.280170 1.06171i
\(287\) −6.23859 + 12.3945i −0.368253 + 0.731627i
\(288\) 2.98901 0.256514i 0.176129 0.0151153i
\(289\) 8.02879 0.472282
\(290\) 1.13789 0.0668190
\(291\) 11.5436 + 18.1530i 0.676696 + 1.06415i
\(292\) 0.210796 0.365109i 0.0123359 0.0213664i
\(293\) 11.6501 6.72621i 0.680608 0.392949i −0.119476 0.992837i \(-0.538121\pi\)
0.800084 + 0.599888i \(0.204788\pi\)
\(294\) −11.9745 + 1.90026i −0.698368 + 0.110825i
\(295\) 7.50612 + 13.0010i 0.437023 + 0.756946i
\(296\) 5.53284i 0.321590i
\(297\) 16.2388 + 21.2721i 0.942270 + 1.23433i
\(298\) 3.85315 6.67385i 0.223207 0.386606i
\(299\) −6.85751 + 6.90977i −0.396580 + 0.399602i
\(300\) −2.71602 + 5.20689i −0.156810 + 0.300620i
\(301\) −7.61157 + 4.99651i −0.438723 + 0.287994i
\(302\) 0.525736 + 0.303534i 0.0302527 + 0.0174664i
\(303\) −8.78697 13.8180i −0.504798 0.793825i
\(304\) 3.30166 5.71864i 0.189363 0.327987i
\(305\) −5.92139 −0.339058
\(306\) −14.9537 + 1.28331i −0.854844 + 0.0733620i
\(307\) 15.8067 0.902135 0.451068 0.892490i \(-0.351043\pi\)
0.451068 + 0.892490i \(0.351043\pi\)
\(308\) −11.3914 + 7.47775i −0.649087 + 0.426084i
\(309\) −26.0648 + 16.5747i −1.48277 + 0.942904i
\(310\) 10.8053i 0.613702i
\(311\) −13.1198 + 22.7241i −0.743954 + 1.28857i 0.206727 + 0.978399i \(0.433719\pi\)
−0.950682 + 0.310168i \(0.899615\pi\)
\(312\) −4.61679 4.20538i −0.261374 0.238083i
\(313\) −14.2929 + 8.25201i −0.807883 + 0.466431i −0.846220 0.532834i \(-0.821127\pi\)
0.0383374 + 0.999265i \(0.487794\pi\)
\(314\) 11.5582 + 6.67311i 0.652265 + 0.376585i
\(315\) −6.22524 7.91446i −0.350753 0.445929i
\(316\) −2.95006 5.10965i −0.165954 0.287440i
\(317\) 14.8285 + 25.6838i 0.832854 + 1.44255i 0.895766 + 0.444526i \(0.146628\pi\)
−0.0629121 + 0.998019i \(0.520039\pi\)
\(318\) −20.7738 10.8360i −1.16494 0.607654i
\(319\) 4.61958i 0.258647i
\(320\) −1.09866 + 0.634311i −0.0614169 + 0.0354590i
\(321\) 0.721441 + 16.8440i 0.0402669 + 0.940138i
\(322\) 7.13182 0.409011i 0.397441 0.0227933i
\(323\) −16.5178 + 28.6097i −0.919075 + 1.59188i
\(324\) 8.86840 1.53345i 0.492689 0.0851917i
\(325\) 11.7963 3.20886i 0.654343 0.177995i
\(326\) 13.0162 + 7.51490i 0.720900 + 0.416212i
\(327\) 16.2604 + 8.48174i 0.899200 + 0.469041i
\(328\) 4.54200 + 2.62233i 0.250790 + 0.144794i
\(329\) −7.01571 10.6876i −0.386788 0.589225i
\(330\) −10.0339 5.23388i −0.552348 0.288116i
\(331\) −27.3462 15.7883i −1.50308 0.867806i −0.999994 0.00357128i \(-0.998863\pi\)
−0.503090 0.864234i \(-0.667803\pi\)
\(332\) 9.22131i 0.506085i
\(333\) −1.41925 16.5377i −0.0777746 0.906262i
\(334\) −14.6300 8.44665i −0.800520 0.462180i
\(335\) 7.33592 12.7062i 0.400804 0.694214i
\(336\) 0.457914 + 4.55964i 0.0249813 + 0.248749i
\(337\) 18.8701 1.02792 0.513961 0.857814i \(-0.328178\pi\)
0.513961 + 0.857814i \(0.328178\pi\)
\(338\) 0.0986879 + 12.9996i 0.00536792 + 0.707086i
\(339\) 4.52851 2.87971i 0.245955 0.156404i
\(340\) 5.49645 3.17338i 0.298087 0.172101i
\(341\) 43.8673 2.37555
\(342\) 8.40179 17.9400i 0.454317 0.970085i
\(343\) −3.16729 18.2474i −0.171018 0.985268i
\(344\) 1.72068 + 2.98031i 0.0927730 + 0.160688i
\(345\) 3.18353 + 5.00628i 0.171395 + 0.269529i
\(346\) −0.256422 + 0.444137i −0.0137854 + 0.0238769i
\(347\) 5.84190i 0.313610i −0.987630 0.156805i \(-0.949881\pi\)
0.987630 0.156805i \(-0.0501194\pi\)
\(348\) −1.37743 0.718495i −0.0738379 0.0385154i
\(349\) −4.14640 + 7.18177i −0.221952 + 0.384431i −0.955400 0.295313i \(-0.904576\pi\)
0.733449 + 0.679745i \(0.237909\pi\)
\(350\) −8.01291 4.03317i −0.428308 0.215582i
\(351\) −14.8784 11.3857i −0.794150 0.607722i
\(352\) 2.57517 + 4.46032i 0.137257 + 0.237736i
\(353\) 18.9199 10.9234i 1.00700 0.581393i 0.0966897 0.995315i \(-0.469175\pi\)
0.910313 + 0.413922i \(0.135841\pi\)
\(354\) −0.877067 20.4775i −0.0466156 1.08836i
\(355\) −8.33013 4.80940i −0.442117 0.255257i
\(356\) 8.30846i 0.440348i
\(357\) −2.29089 22.8113i −0.121247 1.20730i
\(358\) −6.94512 + 4.00977i −0.367061 + 0.211923i
\(359\) 10.1960 + 17.6599i 0.538122 + 0.932055i 0.999005 + 0.0445941i \(0.0141995\pi\)
−0.460883 + 0.887461i \(0.652467\pi\)
\(360\) −3.12119 + 2.17779i −0.164501 + 0.114779i
\(361\) −12.3019 21.3075i −0.647469 1.12145i
\(362\) 0.459074i 0.0241284i
\(363\) −12.4370 + 23.8429i −0.652771 + 1.25143i
\(364\) 6.32102 7.14456i 0.331311 0.374477i
\(365\) 0.534840i 0.0279948i
\(366\) 7.16793 + 3.73894i 0.374674 + 0.195437i
\(367\) −14.1857 + 8.19011i −0.740486 + 0.427520i −0.822246 0.569132i \(-0.807279\pi\)
0.0817597 + 0.996652i \(0.473946\pi\)
\(368\) 2.70000i 0.140747i
\(369\) 14.2488 + 6.67308i 0.741761 + 0.347387i
\(370\) 3.50954 + 6.07870i 0.182452 + 0.316017i
\(371\) 16.0910 31.9689i 0.835404 1.65974i
\(372\) 6.82280 13.0800i 0.353746 0.678167i
\(373\) 7.06962 12.2449i 0.366051 0.634019i −0.622893 0.782307i \(-0.714043\pi\)
0.988944 + 0.148288i \(0.0473762\pi\)
\(374\) −12.8832 22.3144i −0.666177 1.15385i
\(375\) −0.788941 18.4199i −0.0407407 0.951200i
\(376\) −4.18472 + 2.41605i −0.215811 + 0.124598i
\(377\) 0.848869 + 3.12059i 0.0437190 + 0.160719i
\(378\) 2.53833 + 13.5114i 0.130557 + 0.694949i
\(379\) 9.57195 + 5.52637i 0.491678 + 0.283871i 0.725270 0.688464i \(-0.241715\pi\)
−0.233592 + 0.972335i \(0.575048\pi\)
\(380\) 8.37711i 0.429737i
\(381\) 9.41065 18.0412i 0.482122 0.924278i
\(382\) −8.74352 5.04808i −0.447358 0.258282i
\(383\) −0.828157 0.478136i −0.0423168 0.0244316i 0.478692 0.877983i \(-0.341111\pi\)
−0.521009 + 0.853551i \(0.674444\pi\)
\(384\) 1.73046 0.0741172i 0.0883074 0.00378228i
\(385\) 7.77208 15.4412i 0.396102 0.786956i
\(386\) 7.17088 4.14011i 0.364988 0.210726i
\(387\) 5.90764 + 8.46681i 0.300302 + 0.430392i
\(388\) 6.21010 + 10.7562i 0.315270 + 0.546064i
\(389\) −2.35900 1.36197i −0.119606 0.0690546i 0.439003 0.898485i \(-0.355332\pi\)
−0.558609 + 0.829431i \(0.688665\pi\)
\(390\) 7.73980 + 1.69179i 0.391920 + 0.0856673i
\(391\) 13.5078i 0.683119i
\(392\) −6.95410 + 0.800271i −0.351235 + 0.0404198i
\(393\) −4.38466 6.89514i −0.221177 0.347814i
\(394\) −7.07350 + 12.2517i −0.356358 + 0.617230i
\(395\) 6.48222 + 3.74251i 0.326156 + 0.188306i
\(396\) 8.84134 + 12.6714i 0.444294 + 0.636761i
\(397\) −12.1261 + 21.0031i −0.608593 + 1.05411i 0.382879 + 0.923798i \(0.374932\pi\)
−0.991473 + 0.130316i \(0.958401\pi\)
\(398\) 15.3246i 0.768150i
\(399\) 27.5868 + 12.4357i 1.38107 + 0.622565i
\(400\) −1.69530 + 2.93635i −0.0847650 + 0.146817i
\(401\) −32.8317 −1.63954 −0.819768 0.572696i \(-0.805898\pi\)
−0.819768 + 0.572696i \(0.805898\pi\)
\(402\) −16.9033 + 10.7489i −0.843060 + 0.536107i
\(403\) −29.6331 + 8.06083i −1.47613 + 0.401539i
\(404\) −4.72713 8.18763i −0.235183 0.407350i
\(405\) −8.77066 + 7.31006i −0.435818 + 0.363240i
\(406\) 1.06693 2.11973i 0.0529510 0.105200i
\(407\) 24.6782 14.2480i 1.22325 0.706246i
\(408\) −8.65730 + 0.370800i −0.428600 + 0.0183573i
\(409\) −19.9476 −0.986347 −0.493173 0.869931i \(-0.664163\pi\)
−0.493173 + 0.869931i \(0.664163\pi\)
\(410\) −6.65348 −0.328592
\(411\) −16.6448 + 0.712910i −0.821027 + 0.0351653i
\(412\) −15.4442 + 8.91672i −0.760881 + 0.439295i
\(413\) 31.2572 1.79260i 1.53806 0.0882083i
\(414\) −0.692590 8.07035i −0.0340390 0.396636i
\(415\) −5.84918 10.1311i −0.287125 0.497315i
\(416\) −2.55917 2.53981i −0.125474 0.124525i
\(417\) −3.06154 + 1.94685i −0.149924 + 0.0953377i
\(418\) 34.0093 1.66345
\(419\) 2.15496 3.73250i 0.105277 0.182345i −0.808574 0.588394i \(-0.799760\pi\)
0.913851 + 0.406049i \(0.133094\pi\)
\(420\) −3.39532 4.71903i −0.165675 0.230265i
\(421\) 9.35440i 0.455905i 0.973672 + 0.227953i \(0.0732032\pi\)
−0.973672 + 0.227953i \(0.926797\pi\)
\(422\) 4.63016 8.01968i 0.225393 0.390392i
\(423\) −11.8884 + 8.29505i −0.578036 + 0.403319i
\(424\) −11.7150 6.76369i −0.568933 0.328474i
\(425\) 8.48138 14.6902i 0.411407 0.712578i
\(426\) 7.04694 + 11.0817i 0.341426 + 0.536912i
\(427\) −5.55216 + 11.0308i −0.268688 + 0.533816i
\(428\) 9.73378i 0.470500i
\(429\) 6.86832 31.4219i 0.331606 1.51706i
\(430\) −3.78089 2.18290i −0.182331 0.105269i
\(431\) 0.433968 + 0.751655i 0.0209035 + 0.0362060i 0.876288 0.481788i \(-0.160012\pi\)
−0.855384 + 0.517994i \(0.826679\pi\)
\(432\) 5.15337 0.665427i 0.247942 0.0320154i
\(433\) −20.7610 + 11.9864i −0.997710 + 0.576028i −0.907570 0.419901i \(-0.862065\pi\)
−0.0901401 + 0.995929i \(0.528731\pi\)
\(434\) 20.1289 + 10.1316i 0.966217 + 0.486330i
\(435\) 1.96907 0.0843370i 0.0944098 0.00404365i
\(436\) 9.16977 + 5.29417i 0.439152 + 0.253545i
\(437\) −15.4404 8.91450i −0.738613 0.426438i
\(438\) 0.337714 0.647432i 0.0161366 0.0309355i
\(439\) 18.1387i 0.865711i −0.901463 0.432855i \(-0.857506\pi\)
0.901463 0.432855i \(-0.142494\pi\)
\(440\) −5.65846 3.26691i −0.269756 0.155744i
\(441\) −20.5806 + 4.17585i −0.980030 + 0.198850i
\(442\) 12.8032 + 12.7064i 0.608987 + 0.604381i
\(443\) 25.1388 14.5139i 1.19438 0.689575i 0.235082 0.971975i \(-0.424464\pi\)
0.959297 + 0.282401i \(0.0911307\pi\)
\(444\) −0.410079 9.57438i −0.0194615 0.454380i
\(445\) 5.27015 + 9.12816i 0.249829 + 0.432716i
\(446\) 6.58695 11.4089i 0.311901 0.540228i
\(447\) 6.17309 11.8344i 0.291977 0.559750i
\(448\) 0.151485 + 2.64141i 0.00715702 + 0.124795i
\(449\) 1.47303 + 2.55136i 0.0695165 + 0.120406i 0.898689 0.438587i \(-0.144521\pi\)
−0.829172 + 0.558993i \(0.811188\pi\)
\(450\) −4.31406 + 9.21164i −0.203367 + 0.434241i
\(451\) 27.0117i 1.27193i
\(452\) 2.68329 1.54920i 0.126211 0.0728680i
\(453\) 0.932265 + 0.486289i 0.0438016 + 0.0228478i
\(454\) 2.37069i 0.111262i
\(455\) −2.41277 + 11.8589i −0.113112 + 0.555955i
\(456\) 5.28955 10.1406i 0.247706 0.474878i
\(457\) 19.3905i 0.907049i 0.891244 + 0.453524i \(0.149833\pi\)
−0.891244 + 0.453524i \(0.850167\pi\)
\(458\) 5.91454 + 10.2443i 0.276368 + 0.478684i
\(459\) −25.7817 + 3.32905i −1.20339 + 0.155387i
\(460\) 1.71264 + 2.96638i 0.0798523 + 0.138308i
\(461\) −18.5093 + 10.6864i −0.862066 + 0.497714i −0.864704 0.502283i \(-0.832494\pi\)
0.00263775 + 0.999997i \(0.499160\pi\)
\(462\) −19.1582 + 13.7843i −0.891322 + 0.641302i
\(463\) 7.17045i 0.333239i −0.986021 0.166620i \(-0.946715\pi\)
0.986021 0.166620i \(-0.0532852\pi\)
\(464\) −0.776779 0.448474i −0.0360611 0.0208199i
\(465\) 0.800861 + 18.6982i 0.0371391 + 0.867110i
\(466\) 6.84440 3.95162i 0.317061 0.183055i
\(467\) 4.50077 + 7.79557i 0.208271 + 0.360736i 0.951170 0.308668i \(-0.0998831\pi\)
−0.742899 + 0.669404i \(0.766550\pi\)
\(468\) −8.30089 6.93507i −0.383709 0.320574i
\(469\) −16.7915 25.5797i −0.775357 1.18116i
\(470\) 3.06505 5.30883i 0.141380 0.244878i
\(471\) 20.4956 + 10.6909i 0.944387 + 0.492612i
\(472\) 11.8335i 0.544681i
\(473\) −8.86209 + 15.3496i −0.407479 + 0.705775i
\(474\) −5.48369 8.62342i −0.251874 0.396087i
\(475\) 11.1946 + 19.3896i 0.513644 + 0.889657i
\(476\) −0.757863 13.2147i −0.0347366 0.605693i
\(477\) −36.7514 17.2117i −1.68273 0.788068i
\(478\) 27.3019 1.24876
\(479\) 3.50004 2.02075i 0.159921 0.0923303i −0.417904 0.908491i \(-0.637235\pi\)
0.577825 + 0.816161i \(0.303902\pi\)
\(480\) −1.85418 + 1.17908i −0.0846312 + 0.0538175i
\(481\) −14.0524 + 14.1595i −0.640734 + 0.645616i
\(482\) −11.2815 −0.513859
\(483\) 12.3110 1.23637i 0.560172 0.0562568i
\(484\) −7.76296 + 13.4458i −0.352862 + 0.611175i
\(485\) −13.6456 7.87827i −0.619613 0.357734i
\(486\) 15.2328 3.31088i 0.690974 0.150185i
\(487\) 13.7020i 0.620897i −0.950590 0.310449i \(-0.899521\pi\)
0.950590 0.310449i \(-0.100479\pi\)
\(488\) 4.04224 + 2.33379i 0.182984 + 0.105646i
\(489\) 23.0810 + 12.0395i 1.04376 + 0.544447i
\(490\) 7.13257 5.29029i 0.322216 0.238991i
\(491\) −19.4095 11.2061i −0.875940 0.505724i −0.00662258 0.999978i \(-0.502108\pi\)
−0.869318 + 0.494254i \(0.835441\pi\)
\(492\) 8.05413 + 4.20120i 0.363108 + 0.189405i
\(493\) 3.88613 + 2.24366i 0.175023 + 0.101049i
\(494\) −22.9738 + 6.24937i −1.03364 + 0.281172i
\(495\) −17.7512 8.31337i −0.797858 0.373658i
\(496\) 4.25869 7.37627i 0.191221 0.331204i
\(497\) −16.7700 + 11.0084i −0.752236 + 0.493794i
\(498\) 0.683458 + 15.9571i 0.0306265 + 0.715057i
\(499\) 17.1062 9.87625i 0.765777 0.442122i −0.0655891 0.997847i \(-0.520893\pi\)
0.831366 + 0.555725i \(0.187559\pi\)
\(500\) 10.6445i 0.476036i
\(501\) −25.9428 13.5323i −1.15904 0.604578i
\(502\) 11.3067 + 19.5838i 0.504644 + 0.874069i
\(503\) −3.11599 5.39705i −0.138935 0.240643i 0.788159 0.615472i \(-0.211035\pi\)
−0.927094 + 0.374829i \(0.877701\pi\)
\(504\) 1.13035 + 7.85635i 0.0503499 + 0.349950i
\(505\) 10.3870 + 5.99694i 0.462215 + 0.266860i
\(506\) 12.0429 6.95296i 0.535371 0.309097i
\(507\) 1.13427 + 22.4881i 0.0503748 + 0.998730i
\(508\) 5.87399 10.1740i 0.260616 0.451400i
\(509\) 16.1726i 0.716839i 0.933561 + 0.358419i \(0.116684\pi\)
−0.933561 + 0.358419i \(0.883316\pi\)
\(510\) 9.27622 5.89880i 0.410758 0.261203i
\(511\) 0.996336 + 0.501490i 0.0440753 + 0.0221846i
\(512\) 1.00000 0.0441942
\(513\) 13.2093 31.6673i 0.583206 1.39814i
\(514\) −1.36558 −0.0602330
\(515\) 11.3119 19.5929i 0.498464 0.863364i
\(516\) 3.19847 + 5.02979i 0.140805 + 0.221424i
\(517\) −21.5527 12.4435i −0.947887 0.547263i
\(518\) 14.6145 0.838145i 0.642124 0.0368260i
\(519\) −0.410812 + 0.787568i −0.0180326 + 0.0345704i
\(520\) 4.42268 + 1.16708i 0.193948 + 0.0511799i
\(521\) 8.95460 15.5098i 0.392308 0.679498i −0.600445 0.799666i \(-0.705010\pi\)
0.992754 + 0.120168i \(0.0383433\pi\)
\(522\) −2.43684 1.14124i −0.106658 0.0499506i
\(523\) 15.3139i 0.669630i −0.942284 0.334815i \(-0.891326\pi\)
0.942284 0.334815i \(-0.108674\pi\)
\(524\) −2.35882 4.08559i −0.103045 0.178480i
\(525\) −14.1650 6.38536i −0.618210 0.278680i
\(526\) −9.36276 + 5.40559i −0.408236 + 0.235695i
\(527\) −21.3057 + 36.9026i −0.928091 + 1.60750i
\(528\) 4.78682 + 7.52756i 0.208320 + 0.327595i
\(529\) 15.7100 0.683042
\(530\) 17.1611 0.745431
\(531\) −3.03547 35.3705i −0.131728 1.53495i
\(532\) 15.6054 + 7.85475i 0.676581 + 0.340547i
\(533\) −4.96353 18.2468i −0.214994 0.790357i
\(534\) −0.615800 14.3775i −0.0266483 0.622175i
\(535\) −6.17424 10.6941i −0.266936 0.462346i
\(536\) −10.0157 + 5.78259i −0.432614 + 0.249770i
\(537\) −11.7211 + 7.45351i −0.505802 + 0.321643i
\(538\) −22.9534 −0.989592
\(539\) −21.4774 28.9567i −0.925099 1.24725i
\(540\) −5.23970 + 3.99991i −0.225481 + 0.172129i
\(541\) −3.16570 + 1.82772i −0.136104 + 0.0785797i −0.566506 0.824058i \(-0.691705\pi\)
0.430402 + 0.902637i \(0.358372\pi\)
\(542\) −15.5927 −0.669766
\(543\) −0.0340253 0.794412i −0.00146017 0.0340915i
\(544\) −5.00288 −0.214497
\(545\) −13.4326 −0.575389
\(546\) 10.4088 12.8319i 0.445454 0.549155i
\(547\) −44.4370 −1.89999 −0.949995 0.312265i \(-0.898912\pi\)
−0.949995 + 0.312265i \(0.898912\pi\)
\(548\) −9.61868 −0.410890
\(549\) 12.6810 + 5.93883i 0.541210 + 0.253463i
\(550\) −17.4627 −0.744613
\(551\) −5.12932 + 2.96141i −0.218516 + 0.126160i
\(552\) −0.200117 4.67226i −0.00851754 0.198865i
\(553\) 13.0498 8.56636i 0.554934 0.364279i
\(554\) 22.3309 0.948750
\(555\) 6.52367 + 10.2589i 0.276914 + 0.435464i
\(556\) −1.81406 + 1.04735i −0.0769333 + 0.0444175i
\(557\) −0.938911 1.62624i −0.0397830 0.0689061i 0.845448 0.534057i \(-0.179333\pi\)
−0.885231 + 0.465151i \(0.846000\pi\)
\(558\) 10.8372 23.1402i 0.458774 0.979602i
\(559\) 3.16592 11.9973i 0.133904 0.507433i
\(560\) −1.84191 2.80592i −0.0778347 0.118572i
\(561\) −23.9479 37.6595i −1.01108 1.58998i
\(562\) 21.7986 0.919520
\(563\) −6.19768 −0.261201 −0.130601 0.991435i \(-0.541691\pi\)
−0.130601 + 0.991435i \(0.541691\pi\)
\(564\) −7.06244 + 4.49105i −0.297382 + 0.189107i
\(565\) −1.96534 + 3.40407i −0.0826826 + 0.143210i
\(566\) 3.89678 2.24981i 0.163794 0.0945664i
\(567\) 5.39391 + 23.1928i 0.226523 + 0.974006i
\(568\) 3.79105 + 6.56628i 0.159069 + 0.275515i
\(569\) 6.56295i 0.275133i −0.990493 0.137567i \(-0.956072\pi\)
0.990493 0.137567i \(-0.0439281\pi\)
\(570\) 0.620888 + 14.4963i 0.0260062 + 0.607183i
\(571\) −8.90567 + 15.4251i −0.372691 + 0.645519i −0.989978 0.141218i \(-0.954898\pi\)
0.617288 + 0.786737i \(0.288231\pi\)
\(572\) 4.73810 17.9552i 0.198110 0.750743i
\(573\) −15.5045 8.08747i −0.647710 0.337859i
\(574\) −6.23859 + 12.3945i −0.260394 + 0.517338i
\(575\) 7.92815 + 4.57732i 0.330627 + 0.190887i
\(576\) 2.98901 0.256514i 0.124542 0.0106881i
\(577\) −1.86181 + 3.22475i −0.0775082 + 0.134248i −0.902174 0.431372i \(-0.858030\pi\)
0.824666 + 0.565620i \(0.191363\pi\)
\(578\) 8.02879 0.333954
\(579\) 12.1021 7.69579i 0.502946 0.319826i
\(580\) 1.13789 0.0472482
\(581\) −24.3573 + 1.39689i −1.01051 + 0.0579529i
\(582\) 11.5436 + 18.1530i 0.478497 + 0.752464i
\(583\) 69.6705i 2.88546i
\(584\) 0.210796 0.365109i 0.00872279 0.0151083i
\(585\) 13.5188 + 2.35394i 0.558935 + 0.0973233i
\(586\) 11.6501 6.72621i 0.481263 0.277857i
\(587\) −36.8272 21.2622i −1.52002 0.877585i −0.999721 0.0236021i \(-0.992487\pi\)
−0.520301 0.853983i \(-0.674180\pi\)
\(588\) −11.9745 + 1.90026i −0.493821 + 0.0783654i
\(589\) −28.1215 48.7078i −1.15873 2.00697i
\(590\) 7.50612 + 13.0010i 0.309022 + 0.535242i
\(591\) −11.3324 + 21.7253i −0.466152 + 0.893661i
\(592\) 5.53284i 0.227398i
\(593\) −23.8770 + 13.7854i −0.980509 + 0.566097i −0.902424 0.430850i \(-0.858214\pi\)
−0.0780852 + 0.996947i \(0.524881\pi\)
\(594\) 16.2388 + 21.2721i 0.666286 + 0.872804i
\(595\) 9.21483 + 14.0377i 0.377771 + 0.575489i
\(596\) 3.85315 6.67385i 0.157831 0.273371i
\(597\) 1.13581 + 26.5186i 0.0464858 + 1.08533i
\(598\) −6.85751 + 6.90977i −0.280424 + 0.282561i
\(599\) −7.32482 4.22899i −0.299284 0.172792i 0.342837 0.939395i \(-0.388612\pi\)
−0.642121 + 0.766603i \(0.721945\pi\)
\(600\) −2.71602 + 5.20689i −0.110881 + 0.212570i
\(601\) −12.8550 7.42186i −0.524368 0.302744i 0.214352 0.976756i \(-0.431236\pi\)
−0.738720 + 0.674013i \(0.764569\pi\)
\(602\) −7.61157 + 4.99651i −0.310224 + 0.203642i
\(603\) −28.4539 + 19.8534i −1.15873 + 0.808494i
\(604\) 0.525736 + 0.303534i 0.0213919 + 0.0123506i
\(605\) 19.6965i 0.800778i
\(606\) −8.78697 13.8180i −0.356946 0.561319i
\(607\) −23.5350 13.5879i −0.955256 0.551517i −0.0605460 0.998165i \(-0.519284\pi\)
−0.894710 + 0.446648i \(0.852618\pi\)
\(608\) 3.30166 5.71864i 0.133900 0.231922i
\(609\) 1.68918 3.74719i 0.0684490 0.151844i
\(610\) −5.92139 −0.239750
\(611\) 16.8457 + 4.44534i 0.681505 + 0.179839i
\(612\) −14.9537 + 1.28331i −0.604466 + 0.0518748i
\(613\) 12.8149 7.39869i 0.517590 0.298830i −0.218358 0.975869i \(-0.570070\pi\)
0.735948 + 0.677038i \(0.236737\pi\)
\(614\) 15.8067 0.637906
\(615\) −11.5136 + 0.493138i −0.464274 + 0.0198852i
\(616\) −11.3914 + 7.47775i −0.458974 + 0.301287i
\(617\) −10.4145 18.0385i −0.419272 0.726201i 0.576594 0.817031i \(-0.304381\pi\)
−0.995866 + 0.0908296i \(0.971048\pi\)
\(618\) −26.0648 + 16.5747i −1.04848 + 0.666734i
\(619\) 13.6057 23.5658i 0.546860 0.947189i −0.451627 0.892207i \(-0.649156\pi\)
0.998487 0.0549827i \(-0.0175104\pi\)
\(620\) 10.8053i 0.433953i
\(621\) −1.79665 13.9141i −0.0720973 0.558354i
\(622\) −13.1198 + 22.7241i −0.526055 + 0.911154i
\(623\) 21.9461 1.25861i 0.879251 0.0504252i
\(624\) −4.61679 4.20538i −0.184820 0.168350i
\(625\) −1.72458 2.98706i −0.0689832 0.119482i
\(626\) −14.2929 + 8.25201i −0.571259 + 0.329817i
\(627\) 58.8519 2.52067i 2.35032 0.100666i
\(628\) 11.5582 + 6.67311i 0.461221 + 0.266286i
\(629\) 27.6801i 1.10368i
\(630\) −6.22524 7.91446i −0.248020 0.315319i
\(631\) −23.4710 + 13.5510i −0.934365 + 0.539456i −0.888189 0.459478i \(-0.848037\pi\)
−0.0461755 + 0.998933i \(0.514703\pi\)
\(632\) −2.95006 5.10965i −0.117347 0.203251i
\(633\) 7.41793 14.2209i 0.294836 0.565232i
\(634\) 14.8285 + 25.6838i 0.588917 + 1.02003i
\(635\) 14.9037i 0.591436i
\(636\) −20.7738 10.8360i −0.823734 0.429677i
\(637\) 19.8293 + 15.6141i 0.785664 + 0.618653i
\(638\) 4.61958i 0.182891i
\(639\) 13.0158 + 18.6542i 0.514898 + 0.737951i
\(640\) −1.09866 + 0.634311i −0.0434283 + 0.0250733i
\(641\) 6.37483i 0.251791i −0.992044 0.125895i \(-0.959820\pi\)
0.992044 0.125895i \(-0.0401804\pi\)
\(642\) 0.721441 + 16.8440i 0.0284730 + 0.664778i
\(643\) 21.5821 + 37.3812i 0.851113 + 1.47417i 0.880204 + 0.474595i \(0.157405\pi\)
−0.0290911 + 0.999577i \(0.509261\pi\)
\(644\) 7.13182 0.409011i 0.281033 0.0161173i
\(645\) −6.70448 3.49719i −0.263989 0.137702i
\(646\) −16.5178 + 28.6097i −0.649884 + 1.12563i
\(647\) −10.6092 18.3756i −0.417089 0.722419i 0.578556 0.815642i \(-0.303616\pi\)
−0.995645 + 0.0932232i \(0.970283\pi\)
\(648\) 8.86840 1.53345i 0.348384 0.0602396i
\(649\) 52.7812 30.4732i 2.07184 1.19618i
\(650\) 11.7963 3.20886i 0.462690 0.125862i
\(651\) 35.5832 + 16.0404i 1.39462 + 0.628673i
\(652\) 13.0162 + 7.51490i 0.509753 + 0.294306i
\(653\) 39.8572i 1.55973i 0.625946 + 0.779867i \(0.284713\pi\)
−0.625946 + 0.779867i \(0.715287\pi\)
\(654\) 16.2604 + 8.48174i 0.635830 + 0.331662i
\(655\) 5.18307 + 2.99245i 0.202519 + 0.116925i
\(656\) 4.54200 + 2.62233i 0.177335 + 0.102385i
\(657\) 0.536416 1.14539i 0.0209276 0.0446859i
\(658\) −7.01571 10.6876i −0.273501 0.416645i
\(659\) 29.9716 17.3041i 1.16753 0.674072i 0.214431 0.976739i \(-0.431210\pi\)
0.953096 + 0.302667i \(0.0978769\pi\)
\(660\) −10.0339 5.23388i −0.390569 0.203729i
\(661\) 9.59801 + 16.6242i 0.373319 + 0.646608i 0.990074 0.140547i \(-0.0448862\pi\)
−0.616755 + 0.787155i \(0.711553\pi\)
\(662\) −27.3462 15.7883i −1.06284 0.613631i
\(663\) 23.0973 + 21.0390i 0.897023 + 0.817087i
\(664\) 9.22131i 0.357856i
\(665\) −22.1274 + 1.26901i −0.858064 + 0.0492101i
\(666\) −1.41925 16.5377i −0.0549950 0.640824i
\(667\) −1.21088 + 2.09731i −0.0468855 + 0.0812080i
\(668\) −14.6300 8.44665i −0.566053 0.326811i
\(669\) 10.5529 20.2309i 0.407998 0.782174i
\(670\) 7.33592 12.7062i 0.283411 0.490883i
\(671\) 24.0396i 0.928038i
\(672\) 0.457914 + 4.55964i 0.0176644 + 0.175892i
\(673\) 10.3779 17.9751i 0.400039 0.692888i −0.593691 0.804693i \(-0.702330\pi\)
0.993730 + 0.111805i \(0.0356632\pi\)
\(674\) 18.8701 0.726850
\(675\) −6.78258 + 16.2602i −0.261062 + 0.625854i
\(676\) 0.0986879 + 12.9996i 0.00379569 + 0.499986i
\(677\) 3.91466 + 6.78038i 0.150452 + 0.260591i 0.931394 0.364013i \(-0.118594\pi\)
−0.780941 + 0.624604i \(0.785260\pi\)
\(678\) 4.52851 2.87971i 0.173916 0.110594i
\(679\) −27.4708 + 18.0328i −1.05423 + 0.692037i
\(680\) 5.49645 3.17338i 0.210779 0.121694i
\(681\) −0.175709 4.10240i −0.00673319 0.157204i
\(682\) 43.8673 1.67977
\(683\) 25.4681 0.974511 0.487255 0.873260i \(-0.337998\pi\)
0.487255 + 0.873260i \(0.337998\pi\)
\(684\) 8.40179 17.9400i 0.321250 0.685954i
\(685\) 10.5676 6.10123i 0.403769 0.233116i
\(686\) −3.16729 18.2474i −0.120928 0.696690i
\(687\) 10.9942 + 17.2890i 0.419454 + 0.659616i
\(688\) 1.72068 + 2.98031i 0.0656004 + 0.113623i
\(689\) 12.8023 + 47.0635i 0.487728 + 1.79298i
\(690\) 3.18353 + 5.00628i 0.121195 + 0.190586i
\(691\) −18.3430 −0.697801 −0.348901 0.937160i \(-0.613445\pi\)
−0.348901 + 0.937160i \(0.613445\pi\)
\(692\) −0.256422 + 0.444137i −0.00974772 + 0.0168835i
\(693\) −32.1310 + 25.2731i −1.22056 + 0.960048i
\(694\) 5.84190i 0.221755i
\(695\) 1.32869 2.30136i 0.0504000 0.0872954i
\(696\) −1.37743 0.718495i −0.0522113 0.0272345i
\(697\) −22.7231 13.1192i −0.860698 0.496924i
\(698\) −4.14640 + 7.18177i −0.156943 + 0.271834i
\(699\) 11.5511 7.34542i 0.436903 0.277829i
\(700\) −8.01291 4.03317i −0.302859 0.152439i
\(701\) 4.16816i 0.157429i −0.996897 0.0787147i \(-0.974918\pi\)
0.996897 0.0787147i \(-0.0250816\pi\)
\(702\) −14.8784 11.3857i −0.561549 0.429724i
\(703\) −31.6403 18.2676i −1.19334 0.688974i
\(704\) 2.57517 + 4.46032i 0.0970552 + 0.168105i
\(705\) 4.91049 9.41391i 0.184940 0.354548i
\(706\) 18.9199 10.9234i 0.712058 0.411107i
\(707\) 20.9108 13.7266i 0.786431 0.516242i
\(708\) −0.877067 20.4775i −0.0329622 0.769590i
\(709\) −16.0287 9.25420i −0.601972 0.347549i 0.167845 0.985813i \(-0.446319\pi\)
−0.769817 + 0.638265i \(0.779653\pi\)
\(710\) −8.33013 4.80940i −0.312624 0.180494i
\(711\) −10.1285 14.5161i −0.379847 0.544396i
\(712\) 8.30846i 0.311373i
\(713\) −19.9160 11.4985i −0.745859 0.430622i
\(714\) −2.29089 22.8113i −0.0857344 0.853692i
\(715\) 6.18360 + 22.7320i 0.231253 + 0.850129i
\(716\) −6.94512 + 4.00977i −0.259551 + 0.149852i
\(717\) 47.2450 2.02354i 1.76440 0.0755706i
\(718\) 10.1960 + 17.6599i 0.380510 + 0.659062i
\(719\) −5.00141 + 8.66270i −0.186521 + 0.323064i −0.944088 0.329693i \(-0.893055\pi\)
0.757567 + 0.652758i \(0.226388\pi\)
\(720\) −3.12119 + 2.17779i −0.116320 + 0.0811613i
\(721\) −25.8923 39.4437i −0.964279 1.46896i
\(722\) −12.3019 21.3075i −0.457830 0.792984i
\(723\) −19.5223 + 0.836156i −0.726041 + 0.0310970i
\(724\) 0.459074i 0.0170614i
\(725\) 2.63375 1.52059i 0.0978149 0.0564734i
\(726\) −12.4370 + 23.8429i −0.461579 + 0.884894i
\(727\) 27.8818i 1.03408i 0.855961 + 0.517040i \(0.172966\pi\)
−0.855961 + 0.517040i \(0.827034\pi\)
\(728\) 6.32102 7.14456i 0.234272 0.264795i
\(729\) 26.1144 6.85838i 0.967201 0.254014i
\(730\) 0.534840i 0.0197953i
\(731\) −8.60837 14.9101i −0.318392 0.551471i
\(732\) 7.16793 + 3.73894i 0.264934 + 0.138195i
\(733\) 9.38772 + 16.2600i 0.346743 + 0.600577i 0.985669 0.168691i \(-0.0539541\pi\)
−0.638925 + 0.769269i \(0.720621\pi\)
\(734\) −14.1857 + 8.19011i −0.523603 + 0.302302i
\(735\) 11.9505 9.68330i 0.440803 0.357174i
\(736\) 2.70000i 0.0995235i
\(737\) −51.5844 29.7823i −1.90014 1.09704i
\(738\) 14.2488 + 6.67308i 0.524505 + 0.245639i
\(739\) 4.75988 2.74812i 0.175095 0.101091i −0.409891 0.912135i \(-0.634433\pi\)
0.584986 + 0.811043i \(0.301100\pi\)
\(740\) 3.50954 + 6.07870i 0.129013 + 0.223458i
\(741\) −39.2921 + 12.5171i −1.44343 + 0.459826i
\(742\) 16.0910 31.9689i 0.590720 1.17361i
\(743\) −9.12112 + 15.7982i −0.334621 + 0.579581i −0.983412 0.181386i \(-0.941942\pi\)
0.648791 + 0.760967i \(0.275275\pi\)
\(744\) 6.82280 13.0800i 0.250136 0.479536i
\(745\) 9.77637i 0.358179i
\(746\) 7.06962 12.2449i 0.258837 0.448319i
\(747\) 2.36540 + 27.5626i 0.0865454 + 1.00846i
\(748\) −12.8832 22.3144i −0.471058 0.815896i
\(749\) −25.7109 + 1.47453i −0.939457 + 0.0538780i
\(750\) −0.788941 18.4199i −0.0288080 0.672600i
\(751\) −20.5779 −0.750898 −0.375449 0.926843i \(-0.622511\pi\)
−0.375449 + 0.926843i \(0.622511\pi\)
\(752\) −4.18472 + 2.41605i −0.152601 + 0.0881043i
\(753\) 21.0174 + 33.0511i 0.765916 + 1.20445i
\(754\) 0.848869 + 3.12059i 0.0309140 + 0.113645i
\(755\) −0.770139 −0.0280282
\(756\) 2.53833 + 13.5114i 0.0923180 + 0.491403i
\(757\) 1.82325 3.15796i 0.0662672 0.114778i −0.830988 0.556290i \(-0.812224\pi\)
0.897255 + 0.441512i \(0.145558\pi\)
\(758\) 9.57195 + 5.52637i 0.347669 + 0.200727i
\(759\) 20.3244 12.9244i 0.737731 0.469127i
\(760\) 8.37711i 0.303870i
\(761\) 39.7985 + 22.9777i 1.44269 + 0.832940i 0.998029 0.0627562i \(-0.0199890\pi\)
0.444666 + 0.895696i \(0.353322\pi\)
\(762\) 9.41065 18.0412i 0.340912 0.653563i
\(763\) −12.5950 + 25.0231i −0.455969 + 0.905898i
\(764\) −8.74352 5.04808i −0.316330 0.182633i
\(765\) 15.6150 10.8952i 0.564560 0.393917i
\(766\) −0.828157 0.478136i −0.0299225 0.0172758i
\(767\) −30.0549 + 30.2839i −1.08522 + 1.09349i
\(768\) 1.73046 0.0741172i 0.0624428 0.00267448i
\(769\) −3.19274 + 5.52999i −0.115133 + 0.199417i −0.917833 0.396967i \(-0.870063\pi\)
0.802700 + 0.596383i \(0.203396\pi\)
\(770\) 7.77208 15.4412i 0.280086 0.556462i
\(771\) −2.36308 + 0.101213i −0.0851043 + 0.00364509i
\(772\) 7.17088 4.14011i 0.258086 0.149006i
\(773\) 8.98086i 0.323019i 0.986871 + 0.161510i \(0.0516363\pi\)
−0.986871 + 0.161510i \(0.948364\pi\)
\(774\)