Properties

Label 546.2.bi.e.257.13
Level $546$
Weight $2$
Character 546.257
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 257.13
Character \(\chi\) \(=\) 546.257
Dual form 546.2.bi.e.17.13

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000 q^{2} +(0.929420 + 1.46157i) q^{3} +1.00000 q^{4} +(1.09866 + 0.634311i) q^{5} +(-0.929420 - 1.46157i) q^{6} +(0.151485 - 2.64141i) q^{7} -1.00000 q^{8} +(-1.27236 + 2.71682i) q^{9} +O(q^{10})\) \(q-1.00000 q^{2} +(0.929420 + 1.46157i) q^{3} +1.00000 q^{4} +(1.09866 + 0.634311i) q^{5} +(-0.929420 - 1.46157i) q^{6} +(0.151485 - 2.64141i) q^{7} -1.00000 q^{8} +(-1.27236 + 2.71682i) q^{9} +(-1.09866 - 0.634311i) q^{10} +(-2.57517 + 4.46032i) q^{11} +(0.929420 + 1.46157i) q^{12} +(-2.55917 + 2.53981i) q^{13} +(-0.151485 + 2.64141i) q^{14} +(0.0940267 + 2.19530i) q^{15} +1.00000 q^{16} +5.00288 q^{17} +(1.27236 - 2.71682i) q^{18} +(3.30166 + 5.71864i) q^{19} +(1.09866 + 0.634311i) q^{20} +(4.00139 - 2.23357i) q^{21} +(2.57517 - 4.46032i) q^{22} -2.70000i q^{23} +(-0.929420 - 1.46157i) 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} +(-0.0940267 - 2.19530i) q^{30} +(4.25869 + 7.37627i) q^{31} -1.00000 q^{32} +(-8.91247 + 0.381728i) q^{33} -5.00288 q^{34} +(1.84191 - 2.80592i) q^{35} +(-1.27236 + 2.71682i) q^{36} +5.53284i q^{37} +(-3.30166 - 5.71864i) q^{38} +(-6.09065 - 1.37984i) q^{39} +(-1.09866 - 0.634311i) q^{40} +(-4.54200 + 2.62233i) q^{41} +(-4.00139 + 2.23357i) 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} +(0.929420 + 1.46157i) q^{48} +(-6.95410 - 0.800271i) q^{49} +(1.69530 + 2.93635i) q^{50} +(4.64977 + 7.31204i) 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} +(0.0940267 + 2.19530i) q^{60} +(4.04224 - 2.33379i) q^{61} +(-4.25869 - 7.37627i) q^{62} +(6.98349 + 3.77238i) q^{63} +1.00000 q^{64} +(-4.42268 + 1.16708i) q^{65} +(8.91247 - 0.381728i) q^{66} +(-10.0157 - 5.78259i) q^{67} +5.00288 q^{68} +(3.94624 - 2.50944i) q^{69} +(-1.84191 + 2.80592i) q^{70} +(-3.79105 + 6.56628i) q^{71} +(1.27236 - 2.71682i) 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} +(6.09065 + 1.37984i) q^{78} +(-2.95006 + 5.10965i) q^{79} +(1.09866 + 0.634311i) q^{80} +(-5.76221 - 6.91354i) q^{81} +(4.54200 - 2.62233i) q^{82} +9.22131i q^{83} +(4.00139 - 2.23357i) 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} +(-0.929420 - 1.46157i) q^{96} +(6.21010 - 10.7562i) q^{97} +(6.95410 + 0.800271i) q^{98} +(-8.84134 - 12.6714i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + O(q^{10}) \) \( 34q - 34q^{2} + 3q^{3} + 34q^{4} - 9q^{5} - 3q^{6} + 4q^{7} - 34q^{8} - 11q^{9} + 9q^{10} - 9q^{11} + 3q^{12} + 8q^{13} - 4q^{14} - 4q^{15} + 34q^{16} - 12q^{17} + 11q^{18} - 5q^{19} - 9q^{20} + 4q^{21} + 9q^{22} - 3q^{24} + 16q^{25} - 8q^{26} + 18q^{27} + 4q^{28} - 27q^{29} + 4q^{30} - q^{31} - 34q^{32} + 21q^{33} + 12q^{34} + 3q^{35} - 11q^{36} + 5q^{38} + 7q^{39} + 9q^{40} + 3q^{41} - 4q^{42} - 3q^{43} - 9q^{44} + 9q^{45} + 27q^{47} + 3q^{48} - 2q^{49} - 16q^{50} + 24q^{51} + 8q^{52} + 21q^{53} - 18q^{54} - 57q^{55} - 4q^{56} + 17q^{57} + 27q^{58} - 4q^{60} - 51q^{61} + q^{62} + 3q^{63} + 34q^{64} + 21q^{65} - 21q^{66} - 21q^{67} - 12q^{68} + 42q^{69} - 3q^{70} + 15q^{71} + 11q^{72} - 19q^{73} + 54q^{75} - 5q^{76} - 9q^{77} - 7q^{78} - 9q^{79} - 9q^{80} - 23q^{81} - 3q^{82} + 4q^{84} - 42q^{85} + 3q^{86} + 81q^{87} + 9q^{88} - 9q^{90} - 72q^{91} + 17q^{93} - 27q^{94} - 3q^{96} + 19q^{97} + 2q^{98} + 27q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.00000 −0.707107
\(3\) 0.929420 + 1.46157i 0.536601 + 0.843836i
\(4\) 1.00000 0.500000
\(5\) 1.09866 + 0.634311i 0.491335 + 0.283672i 0.725128 0.688614i \(-0.241781\pi\)
−0.233793 + 0.972286i \(0.575114\pi\)
\(6\) −0.929420 1.46157i −0.379434 0.596682i
\(7\) 0.151485 2.64141i 0.0572561 0.998360i
\(8\) −1.00000 −0.353553
\(9\) −1.27236 + 2.71682i −0.424120 + 0.905606i
\(10\) −1.09866 0.634311i −0.347426 0.200587i
\(11\) −2.57517 + 4.46032i −0.776442 + 1.34484i 0.157539 + 0.987513i \(0.449644\pi\)
−0.933981 + 0.357324i \(0.883689\pi\)
\(12\) 0.929420 + 1.46157i 0.268300 + 0.421918i
\(13\) −2.55917 + 2.53981i −0.709786 + 0.704418i
\(14\) −0.151485 + 2.64141i −0.0404862 + 0.705947i
\(15\) 0.0940267 + 2.19530i 0.0242776 + 0.566825i
\(16\) 1.00000 0.250000
\(17\) 5.00288 1.21338 0.606688 0.794940i \(-0.292498\pi\)
0.606688 + 0.794940i \(0.292498\pi\)
\(18\) 1.27236 2.71682i 0.299898 0.640360i
\(19\) 3.30166 + 5.71864i 0.757453 + 1.31195i 0.944146 + 0.329528i \(0.106890\pi\)
−0.186693 + 0.982418i \(0.559777\pi\)
\(20\) 1.09866 + 0.634311i 0.245668 + 0.141836i
\(21\) 4.00139 2.23357i 0.873176 0.487406i
\(22\) 2.57517 4.46032i 0.549027 0.950943i
\(23\) 2.70000i 0.562990i −0.959563 0.281495i \(-0.909170\pi\)
0.959563 0.281495i \(-0.0908303\pi\)
\(24\) −0.929420 1.46157i −0.189717 0.298341i
\(25\) −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 \(-0.640127\pi\)
0.570385 + 0.821377i \(0.306794\pi\)
\(30\) −0.0940267 2.19530i −0.0171669 0.400806i
\(31\) 4.25869 + 7.37627i 0.764883 + 1.32482i 0.940308 + 0.340324i \(0.110537\pi\)
−0.175425 + 0.984493i \(0.556130\pi\)
\(32\) −1.00000 −0.176777
\(33\) −8.91247 + 0.381728i −1.55146 + 0.0664504i
\(34\) −5.00288 −0.857987
\(35\) 1.84191 2.80592i 0.311339 0.474287i
\(36\) −1.27236 + 2.71682i −0.212060 + 0.452803i
\(37\) 5.53284i 0.909593i 0.890595 + 0.454797i \(0.150288\pi\)
−0.890595 + 0.454797i \(0.849712\pi\)
\(38\) −3.30166 5.71864i −0.535600 0.927686i
\(39\) −6.09065 1.37984i −0.975285 0.220952i
\(40\) −1.09866 0.634311i −0.173713 0.100293i
\(41\) −4.54200 + 2.62233i −0.709342 + 0.409539i −0.810817 0.585299i \(-0.800977\pi\)
0.101476 + 0.994838i \(0.467644\pi\)
\(42\) −4.00139 + 2.23357i −0.617428 + 0.344648i
\(43\) 1.72068 2.98031i 0.262402 0.454493i −0.704478 0.709726i \(-0.748819\pi\)
0.966880 + 0.255233i \(0.0821521\pi\)
\(44\) −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 \(-0.218693\pi\)
−0.162719 + 0.986672i \(0.552027\pi\)
\(48\) 0.929420 + 1.46157i 0.134150 + 0.210959i
\(49\) −6.95410 0.800271i −0.993443 0.114324i
\(50\) 1.69530 + 2.93635i 0.239752 + 0.415262i
\(51\) 4.64977 + 7.31204i 0.651098 + 1.02389i
\(52\) −2.55917 + 2.53981i −0.354893 + 0.352209i
\(53\) 11.7150 6.76369i 1.60919 0.929064i 0.619633 0.784891i \(-0.287281\pi\)
0.989553 0.144172i \(-0.0460520\pi\)
\(54\) 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 \(-0.279891\pi\)
\(60\) 0.0940267 + 2.19530i 0.0121388 + 0.283413i
\(61\) 4.04224 2.33379i 0.517556 0.298811i −0.218378 0.975864i \(-0.570077\pi\)
0.735934 + 0.677053i \(0.236743\pi\)
\(62\) −4.25869 7.37627i −0.540854 0.936787i
\(63\) 6.98349 + 3.77238i 0.879837 + 0.475275i
\(64\) 1.00000 0.125000
\(65\) −4.42268 + 1.16708i −0.548566 + 0.144758i
\(66\) 8.91247 0.381728i 1.09705 0.0469875i
\(67\) −10.0157 5.78259i −1.22362 0.706456i −0.257931 0.966163i \(-0.583041\pi\)
−0.965687 + 0.259707i \(0.916374\pi\)
\(68\) 5.00288 0.606688
\(69\) 3.94624 2.50944i 0.475071 0.302101i
\(70\) −1.84191 + 2.80592i −0.220150 + 0.335372i
\(71\) −3.79105 + 6.56628i −0.449914 + 0.779274i −0.998380 0.0568986i \(-0.981879\pi\)
0.548466 + 0.836173i \(0.315212\pi\)
\(72\) 1.27236 2.71682i 0.149949 0.320180i
\(73\) 0.210796 + 0.365109i 0.0246718 + 0.0427328i 0.878098 0.478481i \(-0.158813\pi\)
−0.853426 + 0.521214i \(0.825479\pi\)
\(74\) 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
\(78\) 6.09065 + 1.37984i 0.689630 + 0.156237i
\(79\) −2.95006 + 5.10965i −0.331908 + 0.574881i −0.982886 0.184216i \(-0.941026\pi\)
0.650978 + 0.759096i \(0.274359\pi\)
\(80\) 1.09866 + 0.634311i 0.122834 + 0.0709181i
\(81\) −5.76221 6.91354i −0.640245 0.768171i
\(82\) 4.54200 2.62233i 0.501580 0.289588i
\(83\) 9.22131i 1.01217i 0.862484 + 0.506085i \(0.168908\pi\)
−0.862484 + 0.506085i \(0.831092\pi\)
\(84\) 4.00139 2.23357i 0.436588 0.243703i
\(85\) 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
\(96\) −0.929420 1.46157i −0.0948585 0.149171i
\(97\) 6.21010 10.7562i 0.630540 1.09213i −0.356901 0.934142i \(-0.616167\pi\)
0.987441 0.157985i \(-0.0504999\pi\)
\(98\) 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 \(-0.677455\pi\)
0.999426 + 0.0338859i \(0.0107883\pi\)
\(102\) −4.64977 7.31204i −0.460396 0.724000i
\(103\) −15.4442 8.91672i −1.52176 0.878590i −0.999670 0.0257017i \(-0.991818\pi\)
−0.522093 0.852888i \(-0.674849\pi\)
\(104\) 2.55917 2.53981i 0.250947 0.249049i
\(105\) 5.81294 + 0.0841934i 0.567285 + 0.00821644i
\(106\) −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 0.00820581 0.999966i \(-0.497388\pi\)
0.870099 + 0.492877i \(0.164055\pi\)
\(110\) 5.65846 3.26691i 0.539513 0.311488i
\(111\) −8.08662 + 5.14233i −0.767548 + 0.488088i
\(112\) 0.151485 2.64141i 0.0143140 0.249590i
\(113\) −2.68329 1.54920i −0.252422 0.145736i 0.368451 0.929647i \(-0.379888\pi\)
−0.620873 + 0.783911i \(0.713222\pi\)
\(114\) 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
\(117\) −3.64403 10.1844i −0.336891 0.941544i
\(118\) 11.8335i 1.08936i
\(119\) 0.757863 13.2147i 0.0694732 1.21139i
\(120\) −0.0940267 2.19530i −0.00858343 0.200403i
\(121\) −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
\(126\) −6.98349 3.77238i −0.622139 0.336070i
\(127\) 5.87399 + 10.1740i 0.521232 + 0.902800i 0.999695 + 0.0246926i \(0.00786069\pi\)
−0.478463 + 0.878108i \(0.658806\pi\)
\(128\) −1.00000 −0.0883883
\(129\) 5.95516 0.255065i 0.524323 0.0224572i
\(130\) 4.42268 1.16708i 0.387895 0.102360i
\(131\) 2.35882 4.08559i 0.206091 0.356960i −0.744389 0.667746i \(-0.767259\pi\)
0.950480 + 0.310787i \(0.100592\pi\)
\(132\) −8.91247 + 0.381728i −0.775731 + 0.0332252i
\(133\) 15.6054 7.85475i 1.35316 0.681093i
\(134\) 10.0157 + 5.78259i 0.865229 + 0.499540i
\(135\) −6.08388 2.53776i −0.523617 0.218416i
\(136\) −5.00288 −0.428993
\(137\) 9.61868 0.821779 0.410890 0.911685i \(-0.365218\pi\)
0.410890 + 0.911685i \(0.365218\pi\)
\(138\) −3.94624 + 2.50944i −0.335926 + 0.213617i
\(139\) −1.81406 1.04735i −0.153867 0.0888349i 0.421090 0.907019i \(-0.361648\pi\)
−0.574956 + 0.818184i \(0.694981\pi\)
\(140\) 1.84191 2.80592i 0.155669 0.237143i
\(141\) 0.358142 + 8.36178i 0.0301610 + 0.704189i
\(142\) 3.79105 6.56628i 0.318137 0.551030i
\(143\) −4.73810 17.9552i −0.396220 1.50149i
\(144\) −1.27236 + 2.71682i −0.106030 + 0.226402i
\(145\) 1.13789 0.0944963
\(146\) −0.210796 0.365109i −0.0174456 0.0302166i
\(147\) −5.29363 10.9077i −0.436611 0.899650i
\(148\) 5.53284i 0.454797i
\(149\) −3.85315 6.67385i −0.315662 0.546743i 0.663916 0.747807i \(-0.268893\pi\)
−0.979578 + 0.201064i \(0.935560\pi\)
\(150\) −2.71602 + 5.20689i −0.221762 + 0.425141i
\(151\) 0.525736 0.303534i 0.0427838 0.0247012i −0.478456 0.878112i \(-0.658803\pi\)
0.521239 + 0.853411i \(0.325470\pi\)
\(152\) −3.30166 5.71864i −0.267800 0.463843i
\(153\) −6.36546 + 13.5919i −0.514617 + 1.09884i
\(154\) −11.3914 7.47775i −0.917948 0.602574i
\(155\) 10.8053i 0.867905i
\(156\) −6.09065 1.37984i −0.487642 0.110476i
\(157\) 11.5582 6.67311i 0.922442 0.532572i 0.0380288 0.999277i \(-0.487892\pi\)
0.884413 + 0.466704i \(0.154559\pi\)
\(158\) 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
\(162\) 5.76221 + 6.91354i 0.452722 + 0.543179i
\(163\) 13.0162 7.51490i 1.01951 0.588612i 0.105545 0.994414i \(-0.466341\pi\)
0.913961 + 0.405802i \(0.133008\pi\)
\(164\) −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 \(-0.439915\pi\)
0.944464 + 0.328616i \(0.106582\pi\)
\(168\) −4.00139 + 2.23357i −0.308714 + 0.172324i
\(169\) 0.0986879 12.9996i 0.00759138 0.999971i
\(170\) −5.49645 3.17338i −0.421559 0.243387i
\(171\) −19.7374 + 1.69385i −1.50936 + 0.129532i
\(172\) 1.72068 2.98031i 0.131201 0.227247i
\(173\) 0.256422 + 0.444137i 0.0194954 + 0.0337671i 0.875609 0.483021i \(-0.160461\pi\)
−0.856113 + 0.516789i \(0.827127\pi\)
\(174\) −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
\(177\) 17.2955 10.9983i 1.30001 0.826682i
\(178\) 8.30846i 0.622746i
\(179\) 6.94512 + 4.00977i 0.519103 + 0.299704i 0.736567 0.676364i \(-0.236445\pi\)
−0.217465 + 0.976068i \(0.569779\pi\)
\(180\) −3.12119 + 2.17779i −0.232640 + 0.162323i
\(181\) 0.459074i 0.0341227i 0.999854 + 0.0170614i \(0.00543106\pi\)
−0.999854 + 0.0170614i \(0.994569\pi\)
\(182\) −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
\(189\) 0.977005 + 13.7130i 0.0710666 + 0.997472i
\(190\) 8.37711i 0.607740i
\(191\) 8.74352 5.04808i 0.632659 0.365266i −0.149122 0.988819i \(-0.547645\pi\)
0.781781 + 0.623553i \(0.214311\pi\)
\(192\) 0.929420 + 1.46157i 0.0670751 + 0.105480i
\(193\) 7.17088 + 4.14011i 0.516171 + 0.298011i 0.735367 0.677669i \(-0.237010\pi\)
−0.219196 + 0.975681i \(0.570343\pi\)
\(194\) −6.21010 + 10.7562i −0.445859 + 0.772251i
\(195\) −5.81630 5.37934i −0.416514 0.385223i
\(196\) −6.95410 0.800271i −0.496722 0.0571622i
\(197\) 7.07350 + 12.2517i 0.503966 + 0.872895i 0.999989 + 0.00458596i \(0.00145976\pi\)
−0.496023 + 0.868309i \(0.665207\pi\)
\(198\) 8.84134 + 12.6714i 0.628327 + 0.900516i
\(199\) 15.3246i 1.08633i −0.839626 0.543164i \(-0.817226\pi\)
0.839626 0.543164i \(-0.182774\pi\)
\(200\) 1.69530 + 2.93635i 0.119876 + 0.207631i
\(201\) −0.857180 20.0131i −0.0604608 1.41162i
\(202\) −4.72713 + 8.18763i −0.332600 + 0.576079i
\(203\) −1.06693 2.11973i −0.0748840 0.148776i
\(204\) 4.64977 + 7.31204i 0.325549 + 0.511945i
\(205\) −6.65348 −0.464699
\(206\) 15.4442 + 8.91672i 1.07605 + 0.621257i
\(207\) 7.33542 + 3.43537i 0.509847 + 0.238775i
\(208\) −2.55917 + 2.53981i −0.177446 + 0.176104i
\(209\) −34.0093 −2.35247
\(210\) −5.81294 0.0841934i −0.401131 0.00580990i
\(211\) 4.63016 + 8.01968i 0.318754 + 0.552097i 0.980228 0.197870i \(-0.0634025\pi\)
−0.661475 + 0.749967i \(0.730069\pi\)
\(212\) 11.7150 6.76369i 0.804593 0.464532i
\(213\) −13.1205 + 0.561964i −0.899004 + 0.0385051i
\(214\) 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
\(222\) 8.08662 5.14233i 0.542738 0.345131i
\(223\) 6.58695 + 11.4089i 0.441095 + 0.763998i 0.997771 0.0667312i \(-0.0212570\pi\)
−0.556676 + 0.830729i \(0.687924\pi\)
\(224\) −0.151485 + 2.64141i −0.0101215 + 0.176487i
\(225\) 10.1345 0.869738i 0.675636 0.0579825i
\(226\) 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 −0.601717 0.798709i \(-0.705517\pi\)
0.992561 + 0.121748i \(0.0388500\pi\)
\(230\) −1.71264 + 2.96638i −0.112928 + 0.195598i
\(231\) −0.341807 + 23.5993i −0.0224893 + 1.55272i
\(232\) −0.776779 + 0.448474i −0.0509980 + 0.0294437i
\(233\) −6.84440 3.95162i −0.448392 0.258879i 0.258759 0.965942i \(-0.416686\pi\)
−0.707151 + 0.707063i \(0.750020\pi\)
\(234\) 3.64403 + 10.1844i 0.238218 + 0.665772i
\(235\) 3.06505 + 5.30883i 0.199942 + 0.346310i
\(236\) 11.8335i 0.770296i
\(237\) −10.2099 + 0.437301i −0.663207 + 0.0284057i
\(238\) −0.757863 + 13.2147i −0.0491250 + 0.856579i
\(239\) −27.3019 −1.76601 −0.883007 0.469360i \(-0.844485\pi\)
−0.883007 + 0.469360i \(0.844485\pi\)
\(240\) 0.0940267 + 2.19530i 0.00606940 + 0.141706i
\(241\) −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
\(243\) 4.74909 14.8474i 0.304654 0.952463i
\(244\) 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
\(249\) −13.4776 + 8.57046i −0.854106 + 0.543131i
\(250\) 10.6445i 0.673217i
\(251\) −11.3067 + 19.5838i −0.713675 + 1.23612i 0.249794 + 0.968299i \(0.419637\pi\)
−0.963469 + 0.267822i \(0.913696\pi\)
\(252\) 6.98349 + 3.77238i 0.439919 + 0.237638i
\(253\) 12.0429 + 6.95296i 0.757130 + 0.437129i
\(254\) −5.87399 10.1740i −0.368567 0.638376i
\(255\) 0.470404 + 10.9828i 0.0294579 + 0.687772i
\(256\) 1.00000 0.0625000
\(257\) 1.36558 0.0851824 0.0425912 0.999093i \(-0.486439\pi\)
0.0425912 + 0.999093i \(0.486439\pi\)
\(258\) −5.95516 + 0.255065i −0.370752 + 0.0158796i
\(259\) 14.6145 + 0.838145i 0.908101 + 0.0520798i
\(260\) −4.42268 + 1.16708i −0.274283 + 0.0723792i
\(261\) 0.230080 + 2.68099i 0.0142416 + 0.165949i
\(262\) −2.35882 + 4.08559i −0.145728 + 0.252409i
\(263\) 9.36276 + 5.40559i 0.577333 + 0.333323i 0.760073 0.649838i \(-0.225163\pi\)
−0.182740 + 0.983161i \(0.558497\pi\)
\(264\) 8.91247 0.381728i 0.548524 0.0234938i
\(265\) 17.1611 1.05420
\(266\) −15.6054 + 7.85475i −0.956831 + 0.481605i
\(267\) 12.1434 7.72205i 0.743163 0.472582i
\(268\) −10.0157 5.78259i −0.611809 0.353228i
\(269\) 22.9534 1.39949 0.699747 0.714391i \(-0.253296\pi\)
0.699747 + 0.714391i \(0.253296\pi\)
\(270\) 6.08388 + 2.53776i 0.370253 + 0.154443i
\(271\) −15.5927 −0.947192 −0.473596 0.880742i \(-0.657044\pi\)
−0.473596 + 0.880742i \(0.657044\pi\)
\(272\) 5.00288 0.303344
\(273\) −4.56738 + 15.8789i −0.276430 + 0.961034i
\(274\) −9.61868 −0.581086
\(275\) 17.4627 1.05304
\(276\) 3.94624 2.50944i 0.237536 0.151050i
\(277\) 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
\(279\) −25.4586 + 2.18483i −1.52416 + 0.130802i
\(280\) −1.84191 + 2.80592i −0.110075 + 0.167686i
\(281\) −21.7986 −1.30040 −0.650199 0.759764i \(-0.725314\pi\)
−0.650199 + 0.759764i \(0.725314\pi\)
\(282\) −0.358142 8.36178i −0.0213270 0.497937i
\(283\) 3.89678 + 2.24981i 0.231639 + 0.133737i 0.611328 0.791377i \(-0.290636\pi\)
−0.379689 + 0.925114i \(0.623969\pi\)
\(284\) −3.79105 + 6.56628i −0.224957 + 0.389637i
\(285\) −12.2437 + 7.78585i −0.725255 + 0.461194i
\(286\) 4.73810 + 17.9552i 0.280170 + 1.06171i
\(287\) 6.23859 + 12.3945i 0.368253 + 0.731627i
\(288\) 1.27236 2.71682i 0.0749744 0.160090i
\(289\) 8.02879 0.472282
\(290\) −1.13789 −0.0668190
\(291\) 21.4927 0.920551i 1.25992 0.0539636i
\(292\) 0.210796 + 0.365109i 0.0123359 + 0.0213664i
\(293\) −11.6501 6.72621i −0.680608 0.392949i 0.119476 0.992837i \(-0.461879\pi\)
−0.800084 + 0.599888i \(0.795212\pi\)
\(294\) 5.29363 + 10.9077i 0.308731 + 0.636149i
\(295\) 7.50612 13.0010i 0.437023 0.756946i
\(296\) 5.53284i 0.321590i
\(297\) 10.3028 24.6993i 0.597827 1.43320i
\(298\) 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
\(303\) 16.3603 0.700723i 0.939872 0.0402555i
\(304\) 3.30166 + 5.71864i 0.189363 + 0.327987i
\(305\) 5.92139 0.339058
\(306\) 6.36546 13.5919i 0.363889 0.776998i
\(307\) 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
\(309\) −1.32176 30.8601i −0.0751926 1.75557i
\(310\) 10.8053i 0.613702i
\(311\) 13.1198 + 22.7241i 0.743954 + 1.28857i 0.950682 + 0.310168i \(0.100385\pi\)
−0.206727 + 0.978399i \(0.566281\pi\)
\(312\) 6.09065 + 1.37984i 0.344815 + 0.0781183i
\(313\) −14.2929 8.25201i −0.807883 0.466431i 0.0383374 0.999265i \(-0.487794\pi\)
−0.846220 + 0.532834i \(0.821127\pi\)
\(314\) −11.5582 + 6.67311i −0.652265 + 0.376585i
\(315\) 5.27961 + 8.57426i 0.297472 + 0.483105i
\(316\) −2.95006 + 5.10965i −0.165954 + 0.287440i
\(317\) −14.8285 + 25.6838i −0.832854 + 1.44255i 0.0629121 + 0.998019i \(0.479961\pi\)
−0.895766 + 0.444526i \(0.853372\pi\)
\(318\) −20.7738 10.8360i −1.16494 0.607654i
\(319\) 4.61958i 0.258647i
\(320\) 1.09866 + 0.634311i 0.0614169 + 0.0354590i
\(321\) −14.2266 + 9.04677i −0.794050 + 0.504941i
\(322\) 7.13182 + 0.409011i 0.397441 + 0.0227933i
\(323\) 16.5178 + 28.6097i 0.919075 + 1.59188i
\(324\) −5.76221 6.91354i −0.320123 0.384085i
\(325\) 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 −0.503090 + 0.864234i \(0.667803\pi\)
−0.999994 + 0.00357128i \(0.998863\pi\)
\(332\) 9.22131i 0.506085i
\(333\) −15.0317 7.03976i −0.823733 0.385776i
\(334\) −14.6300 + 8.44665i −0.800520 + 0.462180i
\(335\) −7.33592 12.7062i −0.400804 0.694214i
\(336\) 4.00139 2.23357i 0.218294 0.121851i
\(337\) 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
\(339\) −0.229644 5.36166i −0.0124726 0.291205i
\(340\) 5.49645 + 3.17338i 0.298087 + 0.172101i
\(341\) −43.8673 −2.37555
\(342\) 19.7374 1.69385i 1.06728 0.0915927i
\(343\) −3.16729 + 18.2474i −0.171018 + 0.985268i
\(344\) −1.72068 + 2.98031i −0.0927730 + 0.160688i
\(345\) 5.92733 0.253873i 0.319117 0.0136680i
\(346\) −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 0.733449 0.679745i \(-0.237909\pi\)
−0.955400 + 0.295313i \(0.904576\pi\)
\(350\) 8.01291 4.03317i 0.428308 0.215582i
\(351\) 11.4983 14.7915i 0.613733 0.789514i
\(352\) 2.57517 4.46032i 0.137257 0.237736i
\(353\) −18.9199 10.9234i −1.00700 0.581393i −0.0966897 0.995315i \(-0.530825\pi\)
−0.910313 + 0.413922i \(0.864159\pi\)
\(354\) −17.2955 + 10.9983i −0.919244 + 0.584553i
\(355\) −8.33013 + 4.80940i −0.442117 + 0.255257i
\(356\) 8.30846i 0.440348i
\(357\) 20.0185 11.1743i 1.05949 0.591406i
\(358\) −6.94512 4.00977i −0.367061 0.211923i
\(359\) −10.1960 + 17.6599i −0.538122 + 0.932055i 0.460883 + 0.887461i \(0.347533\pi\)
−0.999005 + 0.0445941i \(0.985801\pi\)
\(360\) 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 0.0817597 0.996652i \(-0.473946\pi\)
−0.822246 + 0.569132i \(0.807279\pi\)
\(368\) 2.70000i 0.140747i
\(369\) −1.34533 15.6763i −0.0700351 0.816078i
\(370\) 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 0.988944 0.148288i \(-0.0473762\pi\)
−0.622893 + 0.782307i \(0.714043\pi\)
\(374\) 12.8832 22.3144i 0.666177 1.15385i
\(375\) 15.5576 9.89320i 0.803393 0.510883i
\(376\) −4.18472 2.41605i −0.215811 0.124598i
\(377\) −0.848869 + 3.12059i −0.0437190 + 0.160719i
\(378\) −0.977005 13.7130i −0.0502517 0.705319i
\(379\) 9.57195 5.52637i 0.491678 0.283871i −0.233592 0.972335i \(-0.575048\pi\)
0.725270 + 0.688464i \(0.241715\pi\)
\(380\) 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 \(-0.658889\pi\)
0.521009 + 0.853551i \(0.325556\pi\)
\(384\) −0.929420 1.46157i −0.0474292 0.0745853i
\(385\) 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 \(-0.644668\pi\)
0.558609 + 0.829431i \(0.311335\pi\)
\(390\) 5.81630 + 5.37934i 0.294520 + 0.272394i
\(391\) 13.5078i 0.683119i
\(392\) 6.95410 + 0.800271i 0.351235 + 0.0404198i
\(393\) 8.16370 0.349658i 0.411804 0.0176379i
\(394\) −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 −0.991473 0.130316i \(-0.958401\pi\)
0.382879 0.923798i \(-0.374932\pi\)
\(398\) 15.3246i 0.768150i
\(399\) 25.9842 + 15.5080i 1.30084 + 0.776373i
\(400\) −1.69530 2.93635i −0.0847650 0.146817i
\(401\) 32.8317 1.63954 0.819768 0.572696i \(-0.194102\pi\)
0.819768 + 0.572696i \(0.194102\pi\)
\(402\) 0.857180 + 20.0131i 0.0427523 + 0.998165i
\(403\) −29.6331 8.06083i −1.47613 0.401539i
\(404\) 4.72713 8.18763i 0.235183 0.407350i
\(405\) −1.94537 11.2506i −0.0966661 0.559049i
\(406\) 1.06693 + 2.11973i 0.0529510 + 0.105200i
\(407\) −24.6782 14.2480i −1.22325 0.706246i
\(408\) −4.64977 7.31204i −0.230198 0.362000i
\(409\) −19.9476 −0.986347 −0.493173 0.869931i \(-0.664163\pi\)
−0.493173 + 0.869931i \(0.664163\pi\)
\(410\) 6.65348 0.328592
\(411\) 8.93979 + 14.0583i 0.440967 + 0.693447i
\(412\) −15.4442 8.91672i −0.760881 0.439295i
\(413\) −31.2572 1.79260i −1.53806 0.0882083i
\(414\) −7.33542 3.43537i −0.360516 0.168839i
\(415\) −5.84918 + 10.1311i −0.287125 + 0.497315i
\(416\) 2.55917 2.53981i 0.125474 0.124525i
\(417\) −0.155253 3.62480i −0.00760278 0.177507i
\(418\) 34.0093 1.66345
\(419\) −2.15496 3.73250i −0.105277 0.182345i 0.808574 0.588394i \(-0.200240\pi\)
−0.913851 + 0.406049i \(0.866906\pi\)
\(420\) 5.81294 + 0.0841934i 0.283643 + 0.00410822i
\(421\) 9.35440i 0.455905i −0.973672 0.227953i \(-0.926797\pi\)
0.973672 0.227953i \(-0.0732032\pi\)
\(422\) −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
\(426\) 13.1205 0.561964i 0.635692 0.0272272i
\(427\) −5.55216 11.0308i −0.268688 0.533816i
\(428\) 9.73378i 0.470500i
\(429\) 21.8390 23.6129i 1.05440 1.14004i
\(430\) −3.78089 + 2.18290i −0.182331 + 0.105269i
\(431\) −0.433968 + 0.751655i −0.0209035 + 0.0362060i −0.876288 0.481788i \(-0.839988\pi\)
0.855384 + 0.517994i \(0.173321\pi\)
\(432\) −5.15337 + 0.665427i −0.247942 + 0.0320154i
\(433\) −20.7610 11.9864i −0.997710 0.576028i −0.0901401 0.995929i \(-0.528731\pi\)
−0.907570 + 0.419901i \(0.862065\pi\)
\(434\) −20.1289 + 10.1316i −0.966217 + 0.486330i
\(435\) 1.05757 + 1.66310i 0.0507068 + 0.0797394i
\(436\) 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 \(0.142494\pi\)
−0.901463 + 0.432855i \(0.857506\pi\)
\(440\) 5.65846 3.26691i 0.269756 0.155744i
\(441\) 11.0223 17.8748i 0.524872 0.851181i
\(442\) 12.8032 12.7064i 0.608987 0.604381i
\(443\) −25.1388 14.5139i −1.19438 0.689575i −0.235082 0.971975i \(-0.575536\pi\)
−0.959297 + 0.282401i \(0.908869\pi\)
\(444\) −8.08662 + 5.14233i −0.383774 + 0.244044i
\(445\) 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 \(-0.855479\pi\)
0.829172 + 0.558993i \(0.188812\pi\)
\(450\) −10.1345 + 0.869738i −0.477747 + 0.0409998i
\(451\) 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 \(-0.850167\pi\)
0.891244 0.453524i \(-0.149833\pi\)
\(458\) −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 \(-0.167506\pi\)
−0.00263775 + 0.999997i \(0.500840\pi\)
\(462\) 0.341807 23.5993i 0.0159023 1.09794i
\(463\) 7.17045i 0.333239i 0.986021 + 0.166620i \(0.0532852\pi\)
−0.986021 + 0.166620i \(0.946715\pi\)
\(464\) 0.776779 0.448474i 0.0360611 0.0208199i
\(465\) −15.7927 + 10.0427i −0.732370 + 0.465718i
\(466\) 6.84440 + 3.95162i 0.317061 + 0.183055i
\(467\) −4.50077 + 7.79557i −0.208271 + 0.360736i −0.951170 0.308668i \(-0.900117\pi\)
0.742899 + 0.669404i \(0.233450\pi\)
\(468\) −3.64403 10.1844i −0.168446 0.470772i
\(469\) −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
\(474\) 10.2099 0.437301i 0.468958 0.0200859i
\(475\) 11.1946 19.3896i 0.513644 0.889657i
\(476\) 0.757863 13.2147i 0.0347366 0.605693i
\(477\) 3.46997 + 40.4335i 0.158879 + 1.85132i
\(478\) 27.3019 1.24876
\(479\) −3.50004 2.02075i −0.159921 0.0923303i 0.417904 0.908491i \(-0.362765\pi\)
−0.577825 + 0.816161i \(0.696098\pi\)
\(480\) −0.0940267 2.19530i −0.00429171 0.100201i
\(481\) −14.0524 14.1595i −0.640734 0.645616i
\(482\) 11.2815 0.513859
\(483\) −6.03066 10.8038i −0.274404 0.491589i
\(484\) −7.76296 13.4458i −0.352862 0.611175i
\(485\) 13.6456 7.87827i 0.619613 0.357734i
\(486\) −4.74909 + 14.8474i −0.215423 + 0.673493i
\(487\) 13.7020i 0.620897i 0.950590 + 0.310449i \(0.100479\pi\)
−0.950590 + 0.310449i \(0.899521\pi\)
\(488\) −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 \(-0.497892\pi\)
0.869318 + 0.494254i \(0.164559\pi\)
\(492\) −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
\(495\) −1.67602 19.5297i −0.0753315 0.877794i
\(496\) 4.25869 + 7.37627i 0.191221 + 0.331204i
\(497\) 16.7700 + 11.0084i 0.752236 + 0.493794i
\(498\) 13.4776 8.57046i 0.603944 0.384052i
\(499\) 17.1062 + 9.87625i 0.765777 + 0.442122i 0.831366 0.555725i \(-0.187559\pi\)
−0.0655891 + 0.997847i \(0.520893\pi\)
\(500\) 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 \(-0.788965\pi\)
0.927094 + 0.374829i \(0.122299\pi\)
\(504\) −6.98349 3.77238i −0.311069 0.168035i
\(505\) 10.3870 5.99694i 0.462215 0.266860i
\(506\) −12.0429 6.95296i −0.535371 0.309097i
\(507\) 19.0916 11.9379i 0.847886 0.530179i
\(508\) 5.87399 + 10.1740i 0.260616 + 0.451400i
\(509\) 16.1726i 0.716839i 0.933561 + 0.358419i \(0.116684\pi\)
−0.933561 + 0.358419i \(0.883316\pi\)
\(510\) −0.470404 10.9828i −0.0208299 0.486328i
\(511\) 0.996336 0.501490i 0.0440753 0.0221846i
\(512\) −1.00000 −0.0441942
\(513\) −20.8200 27.2733i −0.919226 1.20414i
\(514\) −1.36558 −0.0602330
\(515\) −11.3119 19.5929i −0.498464 0.863364i
\(516\) 5.95516 0.255065i 0.262161 0.0112286i
\(517\) −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 \(-0.294990\pi\)
−0.992754 + 0.120168i \(0.961657\pi\)
\(522\) −0.230080 2.68099i −0.0100703 0.117344i
\(523\) 15.3139i 0.669630i 0.942284 + 0.334815i \(0.108674\pi\)
−0.942284 + 0.334815i \(0.891326\pi\)
\(524\) 2.35882 4.08559i 0.103045 0.178480i
\(525\) −13.3421 7.96290i −0.582297 0.347529i
\(526\) −9.36276 5.40559i −0.408236 0.235695i
\(527\) 21.3057 + 36.9026i 0.928091 + 1.60750i
\(528\) −8.91247 + 0.381728i −0.387865 + 0.0166126i
\(529\) 15.7100 0.683042
\(530\) −17.1611 −0.745431
\(531\) 32.1495 + 15.0565i 1.39517 + 0.653395i
\(532\) 15.6054 7.85475i 0.676581 0.340547i
\(533\) 4.96353 18.2468i 0.214994 0.790357i
\(534\) −12.1434 + 7.72205i −0.525495 + 0.334166i
\(535\) −6.17424 + 10.6941i −0.266936 + 0.462346i
\(536\) 10.0157 + 5.78259i 0.432614 + 0.249770i
\(537\) 0.594386 + 13.8775i 0.0256496 + 0.598859i
\(538\) −22.9534 −0.989592
\(539\) 21.4774 28.9567i 0.925099 1.24725i
\(540\) −6.08388 2.53776i −0.261808 0.109208i
\(541\) −3.16570 1.82772i −0.136104 0.0785797i 0.430402 0.902637i \(-0.358372\pi\)
−0.566506 + 0.824058i \(0.691705\pi\)
\(542\) 15.5927 0.669766
\(543\) −0.670968 + 0.426673i −0.0287940 + 0.0183103i
\(544\) −5.00288 −0.214497
\(545\) 13.4326 0.575389
\(546\) 4.56738 15.8789i 0.195466 0.679554i
\(547\) −44.4370 −1.89999 −0.949995 0.312265i \(-0.898912\pi\)
−0.949995 + 0.312265i \(0.898912\pi\)
\(548\) 9.61868 0.410890
\(549\) 1.19730 + 13.9515i 0.0510996 + 0.595434i
\(550\) −17.4627 −0.744613
\(551\) 5.12932 + 2.96141i 0.218516 + 0.126160i
\(552\) −3.94624 + 2.50944i −0.167963 + 0.106809i
\(553\) 13.0498 + 8.56636i 0.554934 + 0.364279i
\(554\) −22.3309 −0.948750
\(555\) −12.1463 + 0.520235i −0.515580 + 0.0220827i
\(556\) −1.81406 1.04735i −0.0769333 0.0444175i
\(557\) 0.938911 1.62624i 0.0397830 0.0689061i −0.845448 0.534057i \(-0.820667\pi\)
0.885231 + 0.465151i \(0.154000\pi\)
\(558\) 25.4586 2.18483i 1.07775 0.0924913i
\(559\) 3.16592 + 11.9973i 0.133904 + 0.507433i
\(560\) 1.84191 2.80592i 0.0778347 0.118572i
\(561\) −44.5880 + 1.90974i −1.88251 + 0.0806293i
\(562\) 21.7986 0.919520
\(563\) 6.19768 0.261201 0.130601 0.991435i \(-0.458309\pi\)
0.130601 + 0.991435i \(0.458309\pi\)
\(564\) 0.358142 + 8.36178i 0.0150805 + 0.352094i
\(565\) −1.96534 3.40407i −0.0826826 0.143210i
\(566\) −3.89678 2.24981i −0.163794 0.0945664i
\(567\) −19.1344 + 14.1731i −0.803568 + 0.595212i
\(568\) 3.79105 6.56628i 0.159069 0.275515i
\(569\) 6.56295i 0.275133i −0.990493 0.137567i \(-0.956072\pi\)
0.990493 0.137567i \(-0.0439281\pi\)
\(570\) 12.2437 7.78585i 0.512833 0.326113i
\(571\) −8.90567 15.4251i −0.372691 0.645519i 0.617288 0.786737i \(-0.288231\pi\)
−0.989978 + 0.141218i \(0.954898\pi\)
\(572\) −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
\(576\) −1.27236 + 2.71682i −0.0530149 + 0.113201i
\(577\) −1.86181 3.22475i −0.0775082 0.134248i 0.824666 0.565620i \(-0.191363\pi\)
−0.902174 + 0.431372i \(0.858030\pi\)
\(578\) −8.02879 −0.333954
\(579\) 0.613707 + 14.3286i 0.0255048 + 0.595477i
\(580\) 1.13789 0.0472482
\(581\) 24.3573 + 1.39689i 1.01051 + 0.0579529i
\(582\) −21.4927 + 0.920551i −0.890901 + 0.0381581i
\(583\) 69.6705i 2.88546i
\(584\) −0.210796 0.365109i −0.00872279 0.0151083i
\(585\) 2.45649 13.5006i 0.101564 0.558180i
\(586\) 11.6501 + 6.72621i 0.481263 + 0.277857i
\(587\) 36.8272 21.2622i 1.52002 0.877585i 0.520301 0.853983i \(-0.325820\pi\)
0.999721 0.0236021i \(-0.00751349\pi\)
\(588\) −5.29363 10.9077i −0.218306 0.449825i
\(589\) −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 \(-0.141786\pi\)
0.0780852 + 0.996947i \(0.475119\pi\)
\(594\) −10.3028 + 24.6993i −0.422728 + 1.01342i
\(595\) 9.21483 14.0377i 0.377771 0.575489i
\(596\) −3.85315 6.67385i −0.157831 0.273371i
\(597\) 22.3979 14.2429i 0.916684 0.582925i
\(598\) −6.85751 6.90977i −0.280424 0.282561i
\(599\) 7.32482 4.22899i 0.299284 0.172792i −0.342837 0.939395i \(-0.611388\pi\)
0.642121 + 0.766603i \(0.278055\pi\)
\(600\) −2.71602 + 5.20689i −0.110881 + 0.212570i
\(601\) −12.8550 + 7.42186i −0.524368 + 0.302744i −0.738720 0.674013i \(-0.764569\pi\)
0.214352 + 0.976756i \(0.431236\pi\)
\(602\) 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
\(606\) −16.3603 + 0.700723i −0.664590 + 0.0284649i
\(607\) −23.5350 + 13.5879i −0.955256 + 0.551517i −0.894710 0.446648i \(-0.852618\pi\)
−0.0605460 + 0.998165i \(0.519284\pi\)
\(608\) −3.30166 5.71864i −0.133900 0.231922i
\(609\) 2.10650 3.52951i 0.0853597 0.143023i
\(610\) −5.92139 −0.239750
\(611\) −16.8457 + 4.44534i −0.681505 + 0.179839i
\(612\) −6.36546 + 13.5919i −0.257308 + 0.549421i
\(613\) 12.8149 + 7.39869i 0.517590 + 0.298830i 0.735948 0.677038i \(-0.236737\pi\)
−0.218358 + 0.975869i \(0.570070\pi\)
\(614\) −15.8067 −0.637906
\(615\) −6.18387 9.72451i −0.249358 0.392130i
\(616\) −11.3914 7.47775i −0.458974 0.301287i
\(617\) 10.4145 18.0385i 0.419272 0.726201i −0.576594 0.817031i \(-0.695619\pi\)
0.995866 + 0.0908296i \(0.0289519\pi\)
\(618\) 1.32176 + 30.8601i 0.0531692 + 1.24138i
\(619\) 13.6057 + 23.5658i 0.546860 + 0.947189i 0.998487 + 0.0549827i \(0.0175104\pi\)
−0.451627 + 0.892207i \(0.649156\pi\)
\(620\) 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
\(624\) −6.09065 1.37984i −0.243821 0.0552380i
\(625\) −1.72458 + 2.98706i −0.0689832 + 0.119482i
\(626\) 14.2929 + 8.25201i 0.571259 + 0.329817i
\(627\) −31.6089 49.7069i −1.26234 1.98510i
\(628\) 11.5582 6.67311i 0.461221 0.266286i
\(629\) 27.6801i 1.10368i
\(630\) −5.27961 8.57426i −0.210345 0.341607i
\(631\) −23.4710 13.5510i −0.934365 0.539456i −0.0461755 0.998933i \(-0.514703\pi\)
−0.888189 + 0.459478i \(0.848037\pi\)
\(632\) 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 \(-0.0401804\pi\)
\(642\) 14.2266 9.04677i 0.561478 0.357047i
\(643\) 21.5821 37.3812i 0.851113 1.47417i −0.0290911 0.999577i \(-0.509261\pi\)
0.880204 0.474595i \(-0.157405\pi\)
\(644\) −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 \(-0.696384\pi\)
0.995645 + 0.0932232i \(0.0297170\pi\)
\(648\) 5.76221 + 6.91354i 0.226361 + 0.271589i
\(649\) 52.7812 + 30.4732i 2.07184 + 1.19618i
\(650\) −11.7963 3.20886i −0.462690 0.125862i
\(651\) 33.5161 + 20.0033i 1.31360 + 0.783989i
\(652\) 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
\(657\) −1.26014 + 0.108144i −0.0491629 + 0.00421911i
\(658\) −7.01571 + 10.6876i −0.273501 + 0.416645i
\(659\) −29.9716 17.3041i −1.16753 0.674072i −0.214431 0.976739i \(-0.568790\pi\)
−0.953096 + 0.302667i \(0.902123\pi\)
\(660\) −10.0339 5.23388i −0.390569 0.203729i
\(661\) 9.59801 16.6242i 0.373319 0.646608i −0.616755 0.787155i \(-0.711553\pi\)
0.990074 + 0.140547i \(0.0448862\pi\)
\(662\) 27.3462 15.7883i 1.06284 0.613631i
\(663\) −30.4708 6.90319i −1.18339 0.268098i
\(664\) 9.22131i 0.357856i
\(665\) 22.1274 + 1.26901i 0.858064 + 0.0492101i
\(666\) 15.0317 + 7.03976i 0.582467 + 0.272785i
\(667\) −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
\(672\) −4.00139 + 2.23357i −0.154357 + 0.0861619i
\(673\) 10.3779 + 17.9751i 0.400039 + 0.692888i 0.993730 0.111805i \(-0.0356632\pi\)
−0.593691 + 0.804693i \(0.702330\pi\)
\(674\) −18.8701 −0.726850
\(675\) 10.6904 + 14.0040i 0.411475 + 0.539013i
\(676\) 0.0986879 12.9996i 0.00379569 0.499986i
\(677\) −3.91466 + 6.78038i −0.150452 + 0.260591i −0.931394 0.364013i \(-0.881406\pi\)
0.780941 + 0.624604i \(0.214740\pi\)
\(678\) 0.229644 + 5.36166i 0.00881943 + 0.205913i
\(679\) −27.4708 18.0328i −1.05423 0.692037i
\(680\) −5.49645 3.17338i −0.210779 0.121694i
\(681\) 3.46493 2.20337i 0.132776 0.0844333i
\(682\) 43.8673 1.67977
\(683\) −25.4681 −0.974511 −0.487255 0.873260i \(-0.662002\pi\)
−0.487255 + 0.873260i \(0.662002\pi\)
\(684\) −19.7374 + 1.69385i −0.754679 + 0.0647659i
\(685\) 10.5676 + 6.10123i 0.403769 + 0.233116i
\(686\) 3.16729 18.2474i 0.120928 0.696690i
\(687\) 20.4698 0.876738i 0.780971 0.0334496i
\(688\) 1.72068 2.98031i 0.0656004 0.113623i
\(689\) −12.8023 + 47.0635i −0.487728 + 1.79298i
\(690\) −5.92733 + 0.253873i −0.225650 + 0.00966477i
\(691\) −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
\(693\) −34.8097 + 21.4341i −1.32231 + 0.814214i
\(694\) 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
\(699\) −0.585766 13.6763i −0.0221557 0.517284i
\(700\) −8.01291 + 4.03317i −0.302859 + 0.152439i
\(701\) 4.16816i 0.157429i −0.996897 0.0787147i \(-0.974918\pi\)
0.996897 0.0787147i \(-0.0250816\pi\)
\(702\) −11.4983 + 14.7915i −0.433975 + 0.558271i
\(703\) −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
\(708\) 17.2955 10.9983i 0.650003 0.413341i
\(709\) −16.0287 + 9.25420i −0.601972 + 0.347549i −0.769817 0.638265i \(-0.779653\pi\)
0.167845 + 0.985813i \(0.446319\pi\)
\(710\) 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
\(714\) −20.0185 + 11.1743i −0.749173 + 0.418187i
\(715\) 6.18360 22.7320i 0.231253 0.850129i
\(716\) 6.94512 + 4.00977i 0.259551 + 0.149852i
\(717\) −25.3749 39.9036i −0.947644 1.49023i
\(718\) 10.1960 17.6599i 0.380510 0.659062i
\(719\) 5.00141 + 8.66270i 0.186521 + 0.323064i 0.944088 0.329693i \(-0.106945\pi\)
−0.757567 + 0.652758i \(0.773612\pi\)
\(720\) −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
\(723\) −10.4853 16.4887i −0.389951 0.613222i
\(724\) 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 \(-0.827034\pi\)
0.855961 0.517040i \(-0.172966\pi\)
\(728\) −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 −0.638925 0.769269i \(-0.720621\pi\)
0.985669 + 0.168691i \(0.0539541\pi\)
\(734\) 14.1857 + 8.19011i 0.523603 + 0.302302i
\(735\) 1.10297 15.3416i 0.0406835 0.565884i
\(736\) 2.70000i 0.0995235i
\(737\) 51.5844 29.7823i 1.90014 1.09704i
\(738\) 1.34533 + 15.6763i 0.0495223 + 0.577054i
\(739\) 4.75988 + 2.74812i 0.175095 + 0.101091i 0.584986 0.811043i \(-0.301100\pi\)
−0.409891 + 0.912135i \(0.634433\pi\)
\(740\) −3.50954 + 6.07870i −0.129013 + 0.223458i
\(741\) −12.2184 39.3860i −0.448855 1.44688i
\(742\) 16.0910 + 31.9689i 0.590720 + 1.17361i
\(743\) 9.12112 + 15.7982i 0.334621 + 0.579581i 0.983412 0.181386i \(-0.0580583\pi\)
−0.648791 + 0.760967i \(0.724725\pi\)
\(744\) 6.82280 13.0800i 0.250136 0.479536i
\(745\) 9.77637i 0.358179i
\(746\) −7.06962 12.2449i −0.258837 0.448319i
\(747\) −25.0526 11.7328i −0.916628 0.429281i
\(748\) −12.8832 + 22.3144i −0.471058 + 0.815896i
\(749\) 25.7109 + 1.47453i 0.939457 + 0.0538780i
\(750\) −15.5576 + 9.89320i −0.568085 + 0.361249i
\(751\) −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
\(753\) −39.1318 + 1.67605i −1.42604 + 0.0610786i
\(754\) 0.848869 3.12059i 0.0309140 0.113645i
\(755\) 0.770139 0.0280282
\(756\) 0.977005 + 13.7130i 0.0355333 + 0.498736i
\(757\) 1.82325 + 3.15796i 0.0662672 + 0.114778i 0.897255 0.441512i \(-0.145558\pi\)
−0.830988 + 0.556290i \(0.812224\pi\)
\(758\) −9.57195 + 5.52637i −0.347669 + 0.200727i
\(759\) 1.03067 + 24.0637i 0.0374109 + 0.873457i
\(760\) 8.37711i 0.303870i
\(761\) −39.7985 + 22.9777i −1.44269 + 0.832940i −0.998029 0.0627562i \(-0.980011\pi\)
−0.444666 + 0.895696i \(0.646678\pi\)
\(762\) 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
\(768\) 0.929420 + 1.46157i 0.0335375 + 0.0527398i
\(769\) −3.19274 5.52999i −0.115133 0.199417i 0.802700 0.596383i \(-0.203396\pi\)
−0.917833 + 0.396967i \(0.870063\pi\)
\(770\) −7.77208 15.4412i −0.280086 0.556462i
\(771\) 1.26919 + 1.99588i 0.0457089 + 0.0718800i
\(772\) 7.17088 + 4.14011i 0.258086 + 0.149006i
\(773\) 8.98086i 0.323019i 0.986871 + 0.161510i \(0.0516363\pi\)
−0.986871 + 0.161510i \(0.948364\pi\)