Properties

Label 546.2.bn.e.101.11
Level $546$
Weight $2$
Character 546.101
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 101.11
Character \(\chi\) \(=\) 546.101
Dual form 546.2.bn.e.173.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(0.801045 + 1.53568i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-1.09866 + 0.634311i) q^{5} +(-1.73046 - 0.0741172i) q^{6} +(-2.21179 + 1.45190i) q^{7} +1.00000 q^{8} +(-1.71665 + 2.46030i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(0.801045 + 1.53568i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-1.09866 + 0.634311i) q^{5} +(-1.73046 - 0.0741172i) q^{6} +(-2.21179 + 1.45190i) q^{7} +1.00000 q^{8} +(-1.71665 + 2.46030i) q^{9} -1.26862i q^{10} -5.15033 q^{11} +(0.929420 - 1.46157i) q^{12} +(2.55917 - 2.53981i) q^{13} +(-0.151485 - 2.64141i) q^{14} +(-1.85418 - 1.17908i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-2.50144 - 4.33262i) q^{17} +(-1.27236 - 2.71682i) q^{18} +6.60332 q^{19} +(1.09866 + 0.634311i) q^{20} +(-4.00139 - 2.23357i) q^{21} +(2.57517 - 4.46032i) q^{22} +(-2.33827 - 1.35000i) q^{23} +(0.801045 + 1.53568i) q^{24} +(-1.69530 + 2.93635i) q^{25} +(0.919959 + 3.48621i) q^{26} +(-5.15337 - 0.665427i) q^{27} +(2.36327 + 1.18952i) q^{28} +(-0.776779 + 0.448474i) q^{29} +(1.94820 - 1.01622i) q^{30} +(-4.25869 + 7.37627i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-4.12565 - 7.90929i) q^{33} +5.00288 q^{34} +(1.50904 - 2.99810i) q^{35} +(2.98901 + 0.256514i) q^{36} +(-4.79158 - 2.76642i) q^{37} +(-3.30166 + 5.71864i) q^{38} +(5.95036 + 1.89557i) q^{39} +(-1.09866 + 0.634311i) q^{40} +(-4.54200 + 2.62233i) q^{41} +(3.93503 - 2.34852i) q^{42} +(1.72068 - 2.98031i) q^{43} +(2.57517 + 4.46032i) q^{44} +(0.325420 - 3.79193i) q^{45} +(2.33827 - 1.35000i) q^{46} +(-4.18472 + 2.41605i) q^{47} +(-1.73046 - 0.0741172i) q^{48} +(2.78400 - 6.42257i) q^{49} +(-1.69530 - 2.93635i) q^{50} +(4.64977 - 7.31204i) q^{51} +(-3.47913 - 0.946398i) q^{52} +(11.7150 + 6.76369i) q^{53} +(3.15296 - 4.13023i) q^{54} +(5.65846 - 3.26691i) q^{55} +(-2.21179 + 1.45190i) q^{56} +(5.28955 + 10.1406i) q^{57} -0.896947i q^{58} +(-10.2481 + 5.91675i) q^{59} +(-0.0940267 + 2.19530i) q^{60} -4.66758i q^{61} +(-4.25869 - 7.37627i) q^{62} +(0.224768 - 7.93407i) q^{63} +1.00000 q^{64} +(-1.20062 + 4.41370i) q^{65} +(8.91247 + 0.381728i) q^{66} +11.5652i q^{67} +(-2.50144 + 4.33262i) q^{68} +(0.200117 - 4.67226i) q^{69} +(1.84191 + 2.80592i) q^{70} +(3.79105 - 6.56628i) q^{71} +(-1.71665 + 2.46030i) q^{72} +(-0.210796 + 0.365109i) q^{73} +(4.79158 - 2.76642i) q^{74} +(-5.86731 - 0.251302i) 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} -1.26862i q^{80} +(-3.10619 - 8.44699i) q^{81} -5.24465i q^{82} +9.22131i q^{83} +(0.0663661 + 4.58210i) q^{84} +(5.49645 + 3.17338i) q^{85} +(1.72068 + 2.98031i) q^{86} +(-1.31095 - 0.833640i) q^{87} -5.15033 q^{88} +(7.19534 + 4.15423i) q^{89} +(3.12119 + 2.17779i) q^{90} +(-1.97279 + 9.33317i) q^{91} +2.70000i q^{92} +(-14.7390 - 0.631285i) q^{93} -4.83210i q^{94} +(-7.25479 + 4.18856i) q^{95} +(0.929420 - 1.46157i) q^{96} +(-6.21010 + 10.7562i) q^{97} +(4.17011 + 5.62230i) q^{98} +(8.84134 - 12.6714i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 17q^{2} + 3q^{3} - 17q^{4} + 9q^{5} - 6q^{6} + 5q^{7} + 34q^{8} + 7q^{9} + O(q^{10}) \) \( 34q - 17q^{2} + 3q^{3} - 17q^{4} + 9q^{5} - 6q^{6} + 5q^{7} + 34q^{8} + 7q^{9} - 18q^{11} + 3q^{12} - 8q^{13} - 4q^{14} - 17q^{15} - 17q^{16} + 6q^{17} - 11q^{18} - 10q^{19} - 9q^{20} - 4q^{21} + 9q^{22} + 6q^{23} + 3q^{24} + 16q^{25} + 13q^{26} + 18q^{27} - q^{28} + 27q^{29} + 13q^{30} + q^{31} - 17q^{32} + 21q^{33} - 12q^{34} - 3q^{35} + 4q^{36} + 6q^{37} + 5q^{38} + 20q^{39} + 9q^{40} + 3q^{41} + 20q^{42} - 3q^{43} + 9q^{44} - 6q^{46} - 27q^{47} - 6q^{48} - 5q^{49} + 16q^{50} + 24q^{51} - 5q^{52} + 21q^{53} - 18q^{54} + 57q^{55} + 5q^{56} - 17q^{57} - 6q^{59} + 4q^{60} + q^{62} - 21q^{63} + 34q^{64} + 33q^{65} - 21q^{66} + 6q^{68} - 30q^{69} + 3q^{70} - 15q^{71} + 7q^{72} + 19q^{73} - 6q^{74} - 63q^{75} + 5q^{76} - 9q^{77} - 10q^{78} - 9q^{79} - 5q^{81} - 16q^{84} - 42q^{85} - 3q^{86} - 75q^{87} - 18q^{88} - 18q^{89} - 9q^{90} - 27q^{91} + 25q^{93} - 3q^{95} + 3q^{96} - 19q^{97} + 7q^{98} - 27q^{99} + O(q^{100}) \)

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 + 0.866025i −0.353553 + 0.612372i
\(3\) 0.801045 + 1.53568i 0.462483 + 0.886628i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) −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
\(7\) −2.21179 + 1.45190i −0.835977 + 0.548765i
\(8\) 1.00000 0.353553
\(9\) −1.71665 + 2.46030i −0.572218 + 0.820101i
\(10\) 1.26862i 0.401173i
\(11\) −5.15033 −1.55288 −0.776442 0.630189i \(-0.782977\pi\)
−0.776442 + 0.630189i \(0.782977\pi\)
\(12\) 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
\(15\) −1.85418 1.17908i −0.478746 0.304438i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −2.50144 4.33262i −0.606688 1.05081i −0.991782 0.127937i \(-0.959164\pi\)
0.385094 0.922877i \(-0.374169\pi\)
\(18\) −1.27236 2.71682i −0.299898 0.640360i
\(19\) 6.60332 1.51491 0.757453 0.652890i \(-0.226444\pi\)
0.757453 + 0.652890i \(0.226444\pi\)
\(20\) 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
\(23\) −2.33827 1.35000i −0.487564 0.281495i 0.236000 0.971753i \(-0.424164\pi\)
−0.723563 + 0.690258i \(0.757497\pi\)
\(24\) 0.801045 + 1.53568i 0.163513 + 0.313470i
\(25\) −1.69530 + 2.93635i −0.339060 + 0.587269i
\(26\) 0.919959 + 3.48621i 0.180419 + 0.683702i
\(27\) −5.15337 0.665427i −0.991766 0.128061i
\(28\) 2.36327 + 1.18952i 0.446616 + 0.224797i
\(29\) −0.776779 + 0.448474i −0.144244 + 0.0832794i −0.570385 0.821377i \(-0.693206\pi\)
0.426141 + 0.904657i \(0.359873\pi\)
\(30\) 1.94820 1.01622i 0.355692 0.185536i
\(31\) −4.25869 + 7.37627i −0.764883 + 1.32482i 0.175425 + 0.984493i \(0.443870\pi\)
−0.940308 + 0.340324i \(0.889463\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −4.12565 7.90929i −0.718183 1.37683i
\(34\) 5.00288 0.857987
\(35\) 1.50904 2.99810i 0.255075 0.506771i
\(36\) 2.98901 + 0.256514i 0.498169 + 0.0427524i
\(37\) −4.79158 2.76642i −0.787731 0.454797i 0.0514322 0.998676i \(-0.483621\pi\)
−0.839163 + 0.543880i \(0.816955\pi\)
\(38\) −3.30166 + 5.71864i −0.535600 + 0.927686i
\(39\) 5.95036 + 1.89557i 0.952821 + 0.303534i
\(40\) −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 \(0.467644\pi\)
\(42\) 3.93503 2.34852i 0.607188 0.362385i
\(43\) 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
\(45\) 0.325420 3.79193i 0.0485107 0.565267i
\(46\) 2.33827 1.35000i 0.344760 0.199047i
\(47\) −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
\(49\) 2.78400 6.42257i 0.397714 0.917509i
\(50\) −1.69530 2.93635i −0.239752 0.415262i
\(51\) 4.64977 7.31204i 0.651098 1.02389i
\(52\) −3.47913 0.946398i −0.482468 0.131242i
\(53\) 11.7150 + 6.76369i 1.60919 + 0.929064i 0.989553 + 0.144172i \(0.0460520\pi\)
0.619633 + 0.784891i \(0.287281\pi\)
\(54\) 3.15296 4.13023i 0.429064 0.562054i
\(55\) 5.65846 3.26691i 0.762986 0.440510i
\(56\) −2.21179 + 1.45190i −0.295562 + 0.194018i
\(57\) 5.28955 + 10.1406i 0.700618 + 1.34316i
\(58\) 0.896947i 0.117775i
\(59\) −10.2481 + 5.91675i −1.33419 + 0.770296i −0.985939 0.167105i \(-0.946558\pi\)
−0.348252 + 0.937401i \(0.613225\pi\)
\(60\) −0.0940267 + 2.19530i −0.0121388 + 0.283413i
\(61\) 4.66758i 0.597622i −0.954312 0.298811i \(-0.903410\pi\)
0.954312 0.298811i \(-0.0965901\pi\)
\(62\) −4.25869 7.37627i −0.540854 0.936787i
\(63\) 0.224768 7.93407i 0.0283181 0.999599i
\(64\) 1.00000 0.125000
\(65\) −1.20062 + 4.41370i −0.148919 + 0.547452i
\(66\) 8.91247 + 0.381728i 1.09705 + 0.0469875i
\(67\) 11.5652i 1.41291i 0.707757 + 0.706456i \(0.249707\pi\)
−0.707757 + 0.706456i \(0.750293\pi\)
\(68\) −2.50144 + 4.33262i −0.303344 + 0.525407i
\(69\) 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 −0.548466 0.836173i \(-0.684788\pi\)
0.998380 + 0.0568986i \(0.0181212\pi\)
\(72\) −1.71665 + 2.46030i −0.202310 + 0.289950i
\(73\) −0.210796 + 0.365109i −0.0246718 + 0.0427328i −0.878098 0.478481i \(-0.841187\pi\)
0.853426 + 0.521214i \(0.174521\pi\)
\(74\) 4.79158 2.76642i 0.557010 0.321590i
\(75\) −5.86731 0.251302i −0.677499 0.0290178i
\(76\) −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 \(0.941026\pi\)
\(80\) 1.26862i 0.141836i
\(81\) −3.10619 8.44699i −0.345133 0.938554i
\(82\) 5.24465i 0.579175i
\(83\) 9.22131i 1.01217i 0.862484 + 0.506085i \(0.168908\pi\)
−0.862484 + 0.506085i \(0.831092\pi\)
\(84\) 0.0663661 + 4.58210i 0.00724113 + 0.499948i
\(85\) 5.49645 + 3.17338i 0.596174 + 0.344201i
\(86\) 1.72068 + 2.98031i 0.185546 + 0.321375i
\(87\) −1.31095 0.833640i −0.140548 0.0893756i
\(88\) −5.15033 −0.549027
\(89\) 7.19534 + 4.15423i 0.762705 + 0.440348i 0.830266 0.557367i \(-0.188189\pi\)
−0.0675614 + 0.997715i \(0.521522\pi\)
\(90\) 3.12119 + 2.17779i 0.329003 + 0.229559i
\(91\) −1.97279 + 9.33317i −0.206804 + 0.978382i
\(92\) 2.70000i 0.281495i
\(93\) −14.7390 0.631285i −1.52837 0.0654612i
\(94\) 4.83210i 0.498393i
\(95\) −7.25479 + 4.18856i −0.744326 + 0.429737i
\(96\) 0.929420 1.46157i 0.0948585 0.149171i
\(97\) −6.21010 + 10.7562i −0.630540 + 1.09213i 0.356901 + 0.934142i \(0.383833\pi\)
−0.987441 + 0.157985i \(0.949500\pi\)
\(98\) 4.17011 + 5.62230i 0.421244 + 0.567938i
\(99\) 8.84134 12.6714i 0.888588 1.27352i
\(100\) 3.39060 0.339060
\(101\) −9.45426 −0.940734 −0.470367 0.882471i \(-0.655878\pi\)
−0.470367 + 0.882471i \(0.655878\pi\)
\(102\) 4.00753 + 7.68284i 0.396805 + 0.760715i
\(103\) −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
\(105\) 5.81294 0.0841934i 0.567285 0.00821644i
\(106\) −11.7150 + 6.76369i −1.13787 + 0.656947i
\(107\) 8.42970 + 4.86689i 0.814930 + 0.470500i 0.848665 0.528931i \(-0.177407\pi\)
−0.0337349 + 0.999431i \(0.510740\pi\)
\(108\) 2.00041 + 4.79566i 0.192489 + 0.461463i
\(109\) −9.16977 5.29417i −0.878305 0.507090i −0.00820581 0.999966i \(-0.502612\pi\)
−0.870099 + 0.492877i \(0.835945\pi\)
\(110\) 6.53382i 0.622976i
\(111\) 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 0.620873 0.783911i \(-0.286778\pi\)
−0.368451 + 0.929647i \(0.620112\pi\)
\(114\) −11.4268 0.489420i −1.07022 0.0458384i
\(115\) 3.42528 0.319409
\(116\) 0.776779 + 0.448474i 0.0721221 + 0.0416397i
\(117\) 1.85551 + 10.6563i 0.171542 + 0.985177i
\(118\) 11.8335i 1.08936i
\(119\) 11.8232 + 5.95100i 1.08383 + 0.545527i
\(120\) −1.85418 1.17908i −0.169262 0.107635i
\(121\) 15.5259 1.41145
\(122\) 4.04224 + 2.33379i 0.365967 + 0.211291i
\(123\) −7.66541 4.87448i −0.691167 0.439517i
\(124\) 8.51738 0.764883
\(125\) 10.6445i 0.952073i
\(126\) 6.75872 + 4.16169i 0.602115 + 0.370753i
\(127\) 5.87399 + 10.1740i 0.521232 + 0.902800i 0.999695 + 0.0246926i \(0.00786069\pi\)
−0.478463 + 0.878108i \(0.658806\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) 5.95516 + 0.255065i 0.524323 + 0.0224572i
\(130\) −3.22206 3.24662i −0.282594 0.284747i
\(131\) 2.35882 + 4.08559i 0.206091 + 0.356960i 0.950480 0.310787i \(-0.100592\pi\)
−0.744389 + 0.667746i \(0.767259\pi\)
\(132\) −4.78682 + 7.52756i −0.416639 + 0.655190i
\(133\) −14.6051 + 9.58733i −1.26643 + 0.831327i
\(134\) −10.0157 5.78259i −0.865229 0.499540i
\(135\) 6.08388 2.53776i 0.523617 0.218416i
\(136\) −2.50144 4.33262i −0.214497 0.371519i
\(137\) 4.80934 + 8.33002i 0.410890 + 0.711682i 0.994987 0.100002i \(-0.0318848\pi\)
−0.584098 + 0.811683i \(0.698551\pi\)
\(138\) 3.94624 + 2.50944i 0.335926 + 0.213617i
\(139\) 1.81406 + 1.04735i 0.153867 + 0.0888349i 0.574956 0.818184i \(-0.305019\pi\)
−0.421090 + 0.907019i \(0.638352\pi\)
\(140\) −3.35095 + 0.192178i −0.283207 + 0.0162420i
\(141\) −7.06244 4.49105i −0.594765 0.378215i
\(142\) 3.79105 + 6.56628i 0.318137 + 0.551030i
\(143\) −13.1806 + 13.0809i −1.10221 + 1.09388i
\(144\) −1.27236 2.71682i −0.106030 0.226402i
\(145\) 0.568943 0.985438i 0.0472482 0.0818362i
\(146\) −0.210796 0.365109i −0.0174456 0.0302166i
\(147\) 12.0931 0.869421i 0.997426 0.0717086i
\(148\) 5.53284i 0.454797i
\(149\) −7.70630 −0.631324 −0.315662 0.948872i \(-0.602227\pi\)
−0.315662 + 0.948872i \(0.602227\pi\)
\(150\) 3.15129 4.95559i 0.257302 0.404622i
\(151\) −0.525736 0.303534i −0.0427838 0.0247012i 0.478456 0.878112i \(-0.341197\pi\)
−0.521239 + 0.853411i \(0.674530\pi\)
\(152\) 6.60332 0.535600
\(153\) 14.9537 + 1.28331i 1.20893 + 0.103750i
\(154\) 0.780200 + 13.6041i 0.0628703 + 1.09625i
\(155\) 10.8053i 0.867905i
\(156\) −1.33357 6.10095i −0.106771 0.488467i
\(157\) 11.5582 + 6.67311i 0.922442 + 0.532572i 0.884413 0.466704i \(-0.154559\pi\)
0.0380288 + 0.999277i \(0.487892\pi\)
\(158\) 5.90012 0.469388
\(159\) −1.00261 + 23.4086i −0.0795123 + 1.85643i
\(160\) 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
\(163\) 15.0298i 1.17722i 0.808416 + 0.588612i \(0.200325\pi\)
−0.808416 + 0.588612i \(0.799675\pi\)
\(164\) 4.54200 + 2.62233i 0.354671 + 0.204769i
\(165\) 9.54962 + 6.07266i 0.743437 + 0.472756i
\(166\) −7.98589 4.61065i −0.619825 0.357856i
\(167\) 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
\(171\) −11.3356 + 16.2462i −0.866856 + 1.24238i
\(172\) −3.44137 −0.262402
\(173\) −0.512845 −0.0389909 −0.0194954 0.999810i \(-0.506206\pi\)
−0.0194954 + 0.999810i \(0.506206\pi\)
\(174\) 1.37743 0.718495i 0.104423 0.0544689i
\(175\) −0.513627 8.95597i −0.0388265 0.677007i
\(176\) 2.57517 4.46032i 0.194110 0.336209i
\(177\) −17.2955 10.9983i −1.30001 0.826682i
\(178\) −7.19534 + 4.15423i −0.539314 + 0.311373i
\(179\) 8.01953i 0.599408i 0.954032 + 0.299704i \(0.0968879\pi\)
−0.954032 + 0.299704i \(0.903112\pi\)
\(180\) −3.44661 + 1.61414i −0.256895 + 0.120311i
\(181\) 0.459074i 0.0341227i −0.999854 0.0170614i \(-0.994569\pi\)
0.999854 0.0170614i \(-0.00543106\pi\)
\(182\) −7.09637 6.37507i −0.526018 0.472552i
\(183\) 7.16793 3.73894i 0.529869 0.276390i
\(184\) −2.33827 1.35000i −0.172380 0.0995235i
\(185\) 7.01908 0.516053
\(186\) 7.91622 12.4487i 0.580445 0.912785i
\(187\) 12.8832 + 22.3144i 0.942116 + 1.63179i
\(188\) 4.18472 + 2.41605i 0.305202 + 0.176209i
\(189\) 12.3643 6.01037i 0.899369 0.437190i
\(190\) 8.37711i 0.607740i
\(191\) 10.0962i 0.730532i −0.930903 0.365266i \(-0.880978\pi\)
0.930903 0.365266i \(-0.119022\pi\)
\(192\) 0.801045 + 1.53568i 0.0578104 + 0.110828i
\(193\) 8.28022i 0.596023i −0.954562 0.298011i \(-0.903677\pi\)
0.954562 0.298011i \(-0.0963234\pi\)
\(194\) −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 −0.999989 0.00458596i \(-0.998540\pi\)
0.496023 0.868309i \(-0.334793\pi\)
\(198\) 6.55307 + 13.9925i 0.465706 + 0.994405i
\(199\) 13.2715 7.66228i 0.940788 0.543164i 0.0505810 0.998720i \(-0.483893\pi\)
0.890207 + 0.455556i \(0.150559\pi\)
\(200\) −1.69530 + 2.93635i −0.119876 + 0.207631i
\(201\) −17.7605 + 9.26423i −1.25273 + 0.653449i
\(202\) 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
\(205\) 3.32674 5.76208i 0.232350 0.402441i
\(206\) 17.8334i 1.24251i
\(207\) 7.33542 3.43537i 0.509847 0.238775i
\(208\) 0.919959 + 3.48621i 0.0637877 + 0.241725i
\(209\) −34.0093 −2.35247
\(210\) −2.83356 + 5.07625i −0.195534 + 0.350295i
\(211\) 4.63016 + 8.01968i 0.318754 + 0.552097i 0.980228 0.197870i \(-0.0634025\pi\)
−0.661475 + 0.749967i \(0.730069\pi\)
\(212\) 13.5274i 0.929064i
\(213\) 13.1205 + 0.561964i 0.899004 + 0.0385051i
\(214\) −8.42970 + 4.86689i −0.576243 + 0.332694i
\(215\) 4.36579i 0.297745i
\(216\) −5.15337 0.665427i −0.350642 0.0452765i
\(217\) −1.29026 22.4979i −0.0875885 1.52726i
\(218\) 9.16977 5.29417i 0.621055 0.358567i
\(219\) −0.729549 0.0312472i −0.0492984 0.00211149i
\(220\) −5.65846 3.26691i −0.381493 0.220255i
\(221\) −17.4057 4.73471i −1.17083 0.318491i
\(222\) 8.08662 + 5.14233i 0.542738 + 0.345131i
\(223\) −6.58695 11.4089i −0.441095 0.763998i 0.556676 0.830729i \(-0.312076\pi\)
−0.997771 + 0.0667312i \(0.978743\pi\)
\(224\) 2.36327 + 1.18952i 0.157903 + 0.0794778i
\(225\) −4.31406 9.21164i −0.287604 0.614110i
\(226\) −2.68329 + 1.54920i −0.178490 + 0.103051i
\(227\) −2.05308 + 1.18535i −0.136268 + 0.0786742i −0.566584 0.824004i \(-0.691735\pi\)
0.430316 + 0.902678i \(0.358402\pi\)
\(228\) 6.13725 9.65119i 0.406450 0.639166i
\(229\) −5.91454 10.2443i −0.390844 0.676961i 0.601717 0.798709i \(-0.294483\pi\)
−0.992561 + 0.121748i \(0.961150\pi\)
\(230\) −1.71264 + 2.96638i −0.112928 + 0.195598i
\(231\) 20.6085 + 11.5036i 1.35594 + 0.756884i
\(232\) −0.776779 + 0.448474i −0.0509980 + 0.0294437i
\(233\) −6.84440 + 3.95162i −0.448392 + 0.258879i −0.707151 0.707063i \(-0.750020\pi\)
0.258759 + 0.965942i \(0.416686\pi\)
\(234\) −10.1564 3.72124i −0.663944 0.243265i
\(235\) 3.06505 5.30883i 0.199942 0.346310i
\(236\) 10.2481 + 5.91675i 0.667096 + 0.385148i
\(237\) 5.48369 8.62342i 0.356204 0.560151i
\(238\) −11.0653 + 7.26366i −0.717257 + 0.470833i
\(239\) 27.3019 1.76601 0.883007 0.469360i \(-0.155515\pi\)
0.883007 + 0.469360i \(0.155515\pi\)
\(240\) 1.94820 1.01622i 0.125756 0.0655969i
\(241\) −5.64076 9.77009i −0.363353 0.629347i 0.625157 0.780499i \(-0.285035\pi\)
−0.988510 + 0.151152i \(0.951702\pi\)
\(242\) −7.76296 + 13.4458i −0.499022 + 0.864332i
\(243\) 10.4837 11.5365i 0.672530 0.740070i
\(244\) −4.04224 + 2.33379i −0.258778 + 0.149406i
\(245\) 1.01524 + 8.82213i 0.0648613 + 0.563625i
\(246\) 8.05413 4.20120i 0.513513 0.267859i
\(247\) 16.8990 16.7712i 1.07526 1.06713i
\(248\) −4.25869 + 7.37627i −0.270427 + 0.468393i
\(249\) −14.1610 + 7.38668i −0.897418 + 0.468112i
\(250\) 9.21840 + 5.32225i 0.583023 + 0.336608i
\(251\) −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
\(254\) −11.7480 −0.737133
\(255\) −0.470404 + 10.9828i −0.0294579 + 0.687772i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −0.682789 + 1.18262i −0.0425912 + 0.0737701i −0.886535 0.462661i \(-0.846895\pi\)
0.843944 + 0.536431i \(0.180228\pi\)
\(258\) −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
\(261\) 0.230080 2.68099i 0.0142416 0.165949i
\(262\) −4.71763 −0.291456
\(263\) 10.8112i 0.666646i 0.942813 + 0.333323i \(0.108170\pi\)
−0.942813 + 0.333323i \(0.891830\pi\)
\(264\) −4.12565 7.90929i −0.253916 0.486783i
\(265\) −17.1611 −1.05420
\(266\) −1.00031 17.4421i −0.0613327 1.06944i
\(267\) −0.615800 + 14.3775i −0.0376864 + 0.879889i
\(268\) 10.0157 5.78259i 0.611809 0.353228i
\(269\) −11.4767 19.8782i −0.699747 1.21200i −0.968554 0.248803i \(-0.919963\pi\)
0.268807 0.963194i \(-0.413371\pi\)
\(270\) −0.844174 + 6.53767i −0.0513748 + 0.397870i
\(271\) −7.79637 + 13.5037i −0.473596 + 0.820292i −0.999543 0.0302249i \(-0.990378\pi\)
0.525947 + 0.850517i \(0.323711\pi\)
\(272\) 5.00288 0.303344
\(273\) −15.9131 + 4.44671i −0.963105 + 0.269127i
\(274\) −9.61868 −0.581086
\(275\) 8.73136 15.1232i 0.526521 0.911961i
\(276\) −4.14636 + 2.16282i −0.249581 + 0.130187i
\(277\) −11.1655 19.3391i −0.670867 1.16198i −0.977658 0.210200i \(-0.932589\pi\)
0.306791 0.951777i \(-0.400745\pi\)
\(278\) −1.81406 + 1.04735i −0.108800 + 0.0628158i
\(279\) −10.8372 23.1402i −0.648804 1.38537i
\(280\) 1.50904 2.99810i 0.0901827 0.179171i
\(281\) 21.7986 1.30040 0.650199 0.759764i \(-0.274686\pi\)
0.650199 + 0.759764i \(0.274686\pi\)
\(282\) 7.42058 3.87073i 0.441889 0.230499i
\(283\) 4.49961i 0.267474i 0.991017 + 0.133737i \(0.0426978\pi\)
−0.991017 + 0.133737i \(0.957302\pi\)
\(284\) −7.58209 −0.449914
\(285\) −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
\(288\) 2.98901 + 0.256514i 0.176129 + 0.0151153i
\(289\) −4.01440 + 6.95314i −0.236141 + 0.409008i
\(290\) 0.568943 + 0.985438i 0.0334095 + 0.0578669i
\(291\) −21.4927 0.920551i −1.25992 0.0539636i
\(292\) 0.421592 0.0246718
\(293\) −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
\(296\) −4.79158 2.76642i −0.278505 0.160795i
\(297\) 26.5416 + 3.42717i 1.54010 + 0.198864i
\(298\) 3.85315 6.67385i 0.223207 0.386606i
\(299\) −9.41279 + 2.48389i −0.544356 + 0.143647i
\(300\) 2.71602 + 5.20689i 0.156810 + 0.300620i
\(301\) 0.521317 + 9.09006i 0.0300482 + 0.523943i
\(302\) 0.525736 0.303534i 0.0302527 0.0174664i
\(303\) −7.57328 14.5188i −0.435074 0.834081i
\(304\) −3.30166 + 5.71864i −0.189363 + 0.327987i
\(305\) 2.96070 + 5.12808i 0.169529 + 0.293633i
\(306\) −8.58821 + 12.3086i −0.490956 + 0.703636i
\(307\) −15.8067 −0.902135 −0.451068 0.892490i \(-0.648957\pi\)
−0.451068 + 0.892490i \(0.648957\pi\)
\(308\) −12.1716 6.12640i −0.693543 0.349084i
\(309\) −26.0648 16.5747i −1.48277 0.942904i
\(310\) 9.35769 + 5.40267i 0.531481 + 0.306851i
\(311\) 13.1198 22.7241i 0.743954 1.28857i −0.206727 0.978399i \(-0.566281\pi\)
0.950682 0.310168i \(-0.100385\pi\)
\(312\) 5.95036 + 1.89557i 0.336873 + 0.107316i
\(313\) −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
\(315\) 4.78572 + 8.85941i 0.269645 + 0.499171i
\(316\) −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 \(0.520039\pi\)
\(318\) −19.7712 12.5726i −1.10871 0.705037i
\(319\) 4.00067 2.30979i 0.223994 0.129323i
\(320\) −1.09866 + 0.634311i −0.0614169 + 0.0354590i
\(321\) −0.721441 + 16.8440i −0.0402669 + 0.940138i
\(322\) −3.21170 + 6.38085i −0.178981 + 0.355591i
\(323\) −16.5178 28.6097i −0.919075 1.59188i
\(324\) −5.76221 + 6.91354i −0.320123 + 0.384085i
\(325\) 3.11921 + 11.8203i 0.173023 + 0.655675i
\(326\) −13.0162 7.51490i −0.720900 0.416212i
\(327\) 0.784779 18.3227i 0.0433984 1.01325i
\(328\) −4.54200 + 2.62233i −0.250790 + 0.144794i
\(329\) 5.74786 11.4196i 0.316890 0.629581i
\(330\) −10.0339 + 5.23388i −0.552348 + 0.288116i
\(331\) 31.5767i 1.73561i −0.496904 0.867806i \(-0.665530\pi\)
0.496904 0.867806i \(-0.334470\pi\)
\(332\) 7.98589 4.61065i 0.438283 0.253043i
\(333\) 15.0317 7.03976i 0.823733 0.385776i
\(334\) 16.8933i 0.924361i
\(335\) −7.33592 12.7062i −0.400804 0.694214i
\(336\) 3.93503 2.34852i 0.214673 0.128122i
\(337\) 18.8701 1.02792 0.513961 0.857814i \(-0.328178\pi\)
0.513961 + 0.857814i \(0.328178\pi\)
\(338\) 11.2087 + 6.58528i 0.609671 + 0.358192i
\(339\) −0.229644 + 5.36166i −0.0124726 + 0.291205i
\(340\) 6.34676i 0.344201i
\(341\) 21.9337 37.9902i 1.18777 2.05729i
\(342\) −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
\(345\) 2.74381 + 5.26016i 0.147722 + 0.283197i
\(346\) 0.256422 0.444137i 0.0137854 0.0238769i
\(347\) 5.05923 2.92095i 0.271594 0.156805i −0.358018 0.933715i \(-0.616547\pi\)
0.629612 + 0.776910i \(0.283214\pi\)
\(348\) −0.0664792 + 1.55213i −0.00356366 + 0.0832032i
\(349\) 4.14640 + 7.18177i 0.221952 + 0.384431i 0.955400 0.295313i \(-0.0954240\pi\)
−0.733449 + 0.679745i \(0.762091\pi\)
\(350\) 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
\(353\) 21.8468i 1.16279i 0.813623 + 0.581393i \(0.197492\pi\)
−0.813623 + 0.581393i \(0.802508\pi\)
\(354\) 18.1725 9.47917i 0.965859 0.503812i
\(355\) 9.61880i 0.510513i
\(356\) 8.30846i 0.440348i
\(357\) 0.332021 + 22.9237i 0.0175724 + 1.21325i
\(358\) −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 \(0.652467\pi\)
\(360\) 0.325420 3.79193i 0.0171511 0.199852i
\(361\) 24.6038 1.29494
\(362\) 0.397570 + 0.229537i 0.0208958 + 0.0120642i
\(363\) 12.4370 + 23.8429i 0.652771 + 1.25143i
\(364\) 9.06916 2.95810i 0.475353 0.155047i
\(365\) 0.534840i 0.0279948i
\(366\) −0.345948 + 8.07708i −0.0180830 + 0.422196i
\(367\) 16.3802i 0.855040i −0.904006 0.427520i \(-0.859387\pi\)
0.904006 0.427520i \(-0.140613\pi\)
\(368\) 2.33827 1.35000i 0.121891 0.0703737i
\(369\) 1.34533 15.6763i 0.0700351 0.816078i
\(370\) −3.50954 + 6.07870i −0.182452 + 0.316017i
\(371\) −35.7314 + 2.04920i −1.85508 + 0.106389i
\(372\) 6.82280 + 13.0800i 0.353746 + 0.678167i
\(373\) −14.1392 −0.732102 −0.366051 0.930595i \(-0.619290\pi\)
−0.366051 + 0.930595i \(0.619290\pi\)
\(374\) −25.7665 −1.33235
\(375\) 16.3466 8.52672i 0.844134 0.440318i
\(376\) −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 \(0.241715\pi\)
\(380\) 7.25479 + 4.18856i 0.372163 + 0.214868i
\(381\) −10.9188 + 17.1705i −0.559387 + 0.879669i
\(382\) 8.74352 + 5.04808i 0.447358 + 0.258282i
\(383\) 0.956273i 0.0488633i 0.999702 + 0.0244316i \(0.00777760\pi\)
−0.999702 + 0.0244316i \(0.992222\pi\)
\(384\) −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
\(387\) 4.37865 + 9.34957i 0.222579 + 0.475265i
\(388\) 12.4202 0.630540
\(389\) 2.35900 + 1.36197i 0.119606 + 0.0690546i 0.558609 0.829431i \(-0.311335\pi\)
−0.439003 + 0.898485i \(0.644668\pi\)
\(390\) 2.40476 7.54876i 0.121770 0.382246i
\(391\) 13.5078i 0.683119i
\(392\) 2.78400 6.42257i 0.140613 0.324389i
\(393\) −4.38466 + 6.89514i −0.221177 + 0.347814i
\(394\) 14.1470 0.712716
\(395\) 6.48222 + 3.74251i 0.326156 + 0.188306i
\(396\) −15.3944 1.32113i −0.773598 0.0663895i
\(397\) −24.2523 −1.21719 −0.608593 0.793482i \(-0.708266\pi\)
−0.608593 + 0.793482i \(0.708266\pi\)
\(398\) 15.3246i 0.768150i
\(399\) −26.4225 14.7490i −1.32278 0.738373i
\(400\) −1.69530 2.93635i −0.0847650 0.146817i
\(401\) 16.4158 28.4331i 0.819768 1.41988i −0.0860853 0.996288i \(-0.527436\pi\)
0.905853 0.423592i \(-0.139231\pi\)
\(402\) 0.857180 20.0131i 0.0427523 0.998165i
\(403\) 7.83564 + 29.6934i 0.390321 + 1.47913i
\(404\) 4.72713 + 8.18763i 0.235183 + 0.407350i
\(405\) 8.77066 + 7.31006i 0.435818 + 0.363240i
\(406\) 1.30227 + 1.98386i 0.0646308 + 0.0984571i
\(407\) 24.6782 + 14.2480i 1.22325 + 0.706246i
\(408\) 4.64977 7.31204i 0.230198 0.362000i
\(409\) −9.97381 17.2752i −0.493173 0.854201i 0.506796 0.862066i \(-0.330830\pi\)
−0.999969 + 0.00786485i \(0.997497\pi\)
\(410\) 3.32674 + 5.76208i 0.164296 + 0.284569i
\(411\) −8.93979 + 14.0583i −0.440967 + 0.693447i
\(412\) 15.4442 + 8.91672i 0.760881 + 0.439295i
\(413\) 14.0761 27.9658i 0.692641 1.37611i
\(414\) −0.692590 + 8.07035i −0.0340390 + 0.396636i
\(415\) −5.84918 10.1311i −0.287125 0.497315i
\(416\) −3.47913 0.946398i −0.170578 0.0464010i
\(417\) −0.155253 + 3.62480i −0.00760278 + 0.177507i
\(418\) 17.0046 29.4529i 0.831724 1.44059i
\(419\) −2.15496 3.73250i −0.105277 0.182345i 0.808574 0.588394i \(-0.200240\pi\)
−0.913851 + 0.406049i \(0.866906\pi\)
\(420\) −2.97939 4.99206i −0.145379 0.243588i
\(421\) 9.35440i 0.455905i −0.973672 0.227953i \(-0.926797\pi\)
0.973672 0.227953i \(-0.0732032\pi\)
\(422\) −9.26032 −0.450786
\(423\) 1.23950 14.4432i 0.0602667 0.702253i
\(424\) 11.7150 + 6.76369i 0.568933 + 0.328474i
\(425\) 16.9628 0.822815
\(426\) −7.04694 + 11.0817i −0.341426 + 0.536912i
\(427\) 6.77684 + 10.3237i 0.327954 + 0.499598i
\(428\) 9.73378i 0.470500i
\(429\) −30.6463 9.76282i −1.47962 0.471353i
\(430\) −3.78089 2.18290i −0.182331 0.105269i
\(431\) −0.867937 −0.0418070 −0.0209035 0.999781i \(-0.506654\pi\)
−0.0209035 + 0.999781i \(0.506654\pi\)
\(432\) 3.15296 4.13023i 0.151697 0.198716i
\(433\) 20.7610 + 11.9864i 0.997710 + 0.576028i 0.907570 0.419901i \(-0.137935\pi\)
0.0901401 + 0.995929i \(0.471269\pi\)
\(434\) 20.1289 + 10.1316i 0.966217 + 0.486330i
\(435\) 1.96907 + 0.0843370i 0.0944098 + 0.00404365i
\(436\) 10.5883i 0.507090i
\(437\) −15.4404 8.91450i −0.738613 0.426438i
\(438\) 0.391836 0.616185i 0.0187226 0.0294424i
\(439\) 15.7085 + 9.06933i 0.749727 + 0.432855i 0.825595 0.564263i \(-0.190839\pi\)
−0.0758680 + 0.997118i \(0.524173\pi\)
\(440\) 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 −0.959297 0.282401i \(-0.908869\pi\)
−0.235082 + 0.971975i \(0.575536\pi\)
\(444\) −8.49670 + 4.43205i −0.403235 + 0.210336i
\(445\) −10.5403 −0.499658
\(446\) 13.1739 0.623802
\(447\) −6.17309 11.8344i −0.291977 0.559750i
\(448\) −2.21179 + 1.45190i −0.104497 + 0.0685956i
\(449\) 1.47303 2.55136i 0.0695165 0.120406i −0.829172 0.558993i \(-0.811188\pi\)
0.898689 + 0.438587i \(0.144521\pi\)
\(450\) 10.1345 + 0.869738i 0.477747 + 0.0409998i
\(451\) 23.3928 13.5059i 1.10153 0.635966i
\(452\) 3.09839i 0.145736i
\(453\) 0.0449942 1.05051i 0.00211401 0.0493572i
\(454\) 2.37069i 0.111262i
\(455\) −3.75271 11.5053i −0.175930 0.539378i
\(456\) 5.28955 + 10.1406i 0.247706 + 0.474878i
\(457\) 16.7927 + 9.69524i 0.785527 + 0.453524i 0.838386 0.545078i \(-0.183500\pi\)
−0.0528584 + 0.998602i \(0.516833\pi\)
\(458\) 11.8291 0.552736
\(459\) 10.0078 + 23.9921i 0.467124 + 1.11986i
\(460\) −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 \(0.500840\pi\)
\(462\) −20.2667 + 12.0957i −0.942892 + 0.562742i
\(463\) 7.17045i 0.333239i 0.986021 + 0.166620i \(0.0532852\pi\)
−0.986021 + 0.166620i \(0.946715\pi\)
\(464\) 0.896947i 0.0416397i
\(465\) 16.5936 8.65555i 0.769509 0.401392i
\(466\) 7.90323i 0.366110i
\(467\) −4.50077 7.79557i −0.208271 0.360736i 0.742899 0.669404i \(-0.233450\pi\)
−0.951170 + 0.308668i \(0.900117\pi\)
\(468\) 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
\(471\) −0.989185 + 23.0952i −0.0455792 + 1.06417i
\(472\) −10.2481 + 5.91675i −0.471708 + 0.272341i
\(473\) −8.86209 + 15.3496i −0.407479 + 0.705775i
\(474\) 4.72626 + 9.06072i 0.217084 + 0.416173i
\(475\) −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
\(478\) −13.6510 + 23.6441i −0.624380 + 1.08146i
\(479\) 4.04149i 0.184661i 0.995728 + 0.0923303i \(0.0294316\pi\)
−0.995728 + 0.0923303i \(0.970568\pi\)
\(480\) −0.0940267 + 2.19530i −0.00429171 + 0.100201i
\(481\) −19.2887 + 5.08999i −0.879487 + 0.232083i
\(482\) 11.2815 0.513859
\(483\) 6.34102 + 10.6246i 0.288526 + 0.483436i
\(484\) −7.76296 13.4458i −0.352862 0.611175i
\(485\) 15.7565i 0.715467i
\(486\) 4.74909 + 14.8474i 0.215423 + 0.673493i
\(487\) 11.8663 6.85100i 0.537713 0.310449i −0.206439 0.978460i \(-0.566187\pi\)
0.744151 + 0.668011i \(0.232854\pi\)
\(488\) 4.66758i 0.211291i
\(489\) −23.0810 + 12.0395i −1.04376 + 0.544447i
\(490\) −8.14781 3.53184i −0.368080 0.159552i
\(491\) −19.4095 + 11.2061i −0.875940 + 0.505724i −0.869318 0.494254i \(-0.835441\pi\)
−0.00662258 + 0.999978i \(0.502108\pi\)
\(492\) −0.388719 + 9.07568i −0.0175248 + 0.409163i
\(493\) 3.88613 + 2.24366i 0.175023 + 0.101049i
\(494\) 6.07478 + 23.0206i 0.273317 + 1.03574i
\(495\) −1.67602 + 19.5297i −0.0753315 + 0.877794i
\(496\) −4.25869 7.37627i −0.191221 0.331204i
\(497\) 1.14858 + 20.0274i 0.0515207 + 0.898352i
\(498\) 0.683458 15.9571i 0.0306265 0.715057i
\(499\) −17.1062 + 9.87625i −0.765777 + 0.442122i −0.831366 0.555725i \(-0.812441\pi\)
0.0655891 + 0.997847i \(0.479107\pi\)
\(500\) −9.21840 + 5.32225i −0.412260 + 0.238018i
\(501\) 24.6907 + 15.7010i 1.10310 + 0.701468i
\(502\) −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 \(0.122299\pi\)
\(504\) 0.224768 7.93407i 0.0100120 0.353412i
\(505\) 10.3870 5.99694i 0.462215 0.266860i
\(506\) −12.0429 + 6.95296i −0.535371 + 0.309097i
\(507\) 20.0424 10.2617i 0.890113 0.455739i
\(508\) 5.87399 10.1740i 0.260616 0.451400i
\(509\) −14.0059 8.08631i −0.620800 0.358419i 0.156380 0.987697i \(-0.450018\pi\)
−0.777181 + 0.629278i \(0.783351\pi\)
\(510\) −9.27622 5.89880i −0.410758 0.261203i
\(511\) −0.0638650 1.11360i −0.00282522 0.0492626i
\(512\) 1.00000 0.0441942
\(513\) −34.0293 4.39402i −1.50243 0.194001i
\(514\) −0.682789 1.18262i −0.0301165 0.0521633i
\(515\) 11.3119 19.5929i 0.498464 0.863364i
\(516\) −2.75669 5.28485i −0.121356 0.232653i
\(517\) 21.5527 12.4435i 0.947887 0.547263i
\(518\) −6.58140 + 13.0756i −0.289170 + 0.574509i
\(519\) −0.410812 0.787568i −0.0180326 0.0345704i
\(520\) −1.20062 + 4.41370i −0.0526507 + 0.193553i
\(521\) −8.95460 + 15.5098i −0.392308 + 0.679498i −0.992754 0.120168i \(-0.961657\pi\)
0.600445 + 0.799666i \(0.294990\pi\)
\(522\) 2.20676 + 1.53975i 0.0965874 + 0.0673930i
\(523\) 13.2622 + 7.65695i 0.579917 + 0.334815i 0.761100 0.648634i \(-0.224660\pi\)
−0.181184 + 0.983449i \(0.557993\pi\)
\(524\) 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
\(527\) 42.6114 1.85618
\(528\) 8.91247 + 0.381728i 0.387865 + 0.0166126i
\(529\) −7.85499 13.6052i −0.341521 0.591532i
\(530\) 8.58056 14.8620i 0.372716 0.645562i
\(531\) 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
\(534\) −12.1434 7.72205i −0.525495 0.334166i
\(535\) −12.3485 −0.533872
\(536\) 11.5652i 0.499540i
\(537\) −12.3155 + 6.42400i −0.531452 + 0.277216i
\(538\) 22.9534 0.989592
\(539\) −14.3385 + 33.0784i −0.617603 + 1.42479i
\(540\) −5.23970 3.99991i −0.225481 0.172129i
\(541\) 3.16570 1.82772i 0.136104 0.0785797i −0.430402 0.902637i \(-0.641628\pi\)
0.566506 + 0.824058i \(0.308295\pi\)
\(542\) −7.79637 13.5037i −0.334883 0.580034i
\(543\) 0.704993 0.367739i 0.0302542 0.0157812i
\(544\) −2.50144 + 4.33262i −0.107248 + 0.185760i
\(545\) 13.4326 0.575389
\(546\) 4.10559 16.0045i 0.175703 0.684930i
\(547\) −44.4370 −1.89999 −0.949995 0.312265i \(-0.898912\pi\)
−0.949995 + 0.312265i \(0.898912\pi\)
\(548\) 4.80934 8.33002i 0.205445 0.355841i
\(549\) 11.4837 + 8.01262i 0.490111 + 0.341970i
\(550\) 8.73136 + 15.1232i 0.372306 + 0.644853i
\(551\) −5.12932 + 2.96141i −0.218516 + 0.126160i
\(552\) 0.200117 4.67226i 0.00851754 0.198865i
\(553\) 13.9436 + 7.01828i 0.592942 + 0.298448i
\(554\) 22.3309 0.948750
\(555\) 5.62260 + 10.7791i 0.238666 + 0.457547i
\(556\) 2.09470i 0.0888349i
\(557\) 1.87782 0.0795659 0.0397830 0.999208i \(-0.487333\pi\)
0.0397830 + 0.999208i \(0.487333\pi\)
\(558\) 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
\(561\) −23.9479 + 37.6595i −1.01108 + 1.58998i
\(562\) −10.8993 + 18.8782i −0.459760 + 0.796328i
\(563\) −3.09884 5.36735i −0.130601 0.226207i 0.793308 0.608821i \(-0.208357\pi\)
−0.923908 + 0.382614i \(0.875024\pi\)
\(564\) −0.358142 + 8.36178i −0.0150805 + 0.352094i
\(565\) −3.93069 −0.165365
\(566\) −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
\(569\) −5.68369 3.28148i −0.238272 0.137567i 0.376110 0.926575i \(-0.377261\pi\)
−0.614383 + 0.789008i \(0.710595\pi\)
\(570\) 12.8646 6.71044i 0.538839 0.281069i
\(571\) −8.90567 + 15.4251i −0.372691 + 0.645519i −0.989978 0.141218i \(-0.954898\pi\)
0.617288 + 0.786737i \(0.288231\pi\)
\(572\) 17.9187 + 4.87426i 0.749217 + 0.203803i
\(573\) 15.5045 8.08747i 0.647710 0.337859i
\(574\) 7.61469 + 11.6001i 0.317831 + 0.484177i
\(575\) 7.92815 4.57732i 0.330627 0.190887i
\(576\) −1.71665 + 2.46030i −0.0715273 + 0.102513i
\(577\) 1.86181 3.22475i 0.0775082 0.134248i −0.824666 0.565620i \(-0.808637\pi\)
0.902174 + 0.431372i \(0.141970\pi\)
\(578\) −4.01440 6.95314i −0.166977 0.289212i
\(579\) 12.7158 6.63282i 0.528451 0.275651i
\(580\) −1.13789 −0.0472482
\(581\) −13.3884 20.3956i −0.555444 0.846151i
\(582\) 11.5436 18.1530i 0.478497 0.752464i
\(583\) −60.3364 34.8352i −2.49888 1.44273i
\(584\) −0.210796 + 0.365109i −0.00872279 + 0.0151083i
\(585\) −8.79798 10.5307i −0.363752 0.435390i
\(586\) 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 \(-0.00751349\pi\)
\(588\) −6.79951 10.0383i −0.280407 0.413971i
\(589\) −28.1215 + 48.7078i −1.15873 + 2.00697i
\(590\) 7.50612 + 13.0010i 0.309022 + 0.535242i
\(591\) 13.1485 20.6768i 0.540857 0.850530i
\(592\) 4.79158 2.76642i 0.196933 0.113699i
\(593\) −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
\(595\) −16.7644 + 0.961442i −0.687273 + 0.0394153i
\(596\) 3.85315 + 6.67385i 0.157831 + 0.273371i
\(597\) 22.3979 + 14.2429i 0.916684 + 0.582925i
\(598\) 2.55528 9.39366i 0.104493 0.384135i
\(599\) 7.32482 + 4.22899i 0.299284 + 0.172792i 0.642121 0.766603i \(-0.278055\pi\)
−0.342837 + 0.939395i \(0.611388\pi\)
\(600\) −5.86731 0.251302i −0.239532 0.0102594i
\(601\) 12.8550 7.42186i 0.524368 0.302744i −0.214352 0.976756i \(-0.568764\pi\)
0.738720 + 0.674013i \(0.235431\pi\)
\(602\) −8.13288 4.09356i −0.331472 0.166841i
\(603\) −28.4539 19.8534i −1.15873 0.808494i
\(604\) 0.607068i 0.0247012i
\(605\) −17.0577 + 9.84826i −0.693494 + 0.400389i
\(606\) 16.3603 + 0.700723i 0.664590 + 0.0284649i
\(607\) 27.1759i 1.10303i 0.834164 + 0.551517i \(0.185951\pi\)
−0.834164 + 0.551517i \(0.814049\pi\)
\(608\) −3.30166 5.71864i −0.133900 0.231922i
\(609\) 4.10990 0.0595268i 0.166541 0.00241215i
\(610\) −5.92139 −0.239750
\(611\) −4.57309 + 16.8115i −0.185007 + 0.680120i
\(612\) −6.36546 13.5919i −0.257308 0.549421i
\(613\) 14.7974i 0.597661i −0.954306 0.298830i \(-0.903403\pi\)
0.954306 0.298830i \(-0.0965965\pi\)
\(614\) 7.90334 13.6890i 0.318953 0.552443i
\(615\) 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 −0.995866 0.0908296i \(-0.971048\pi\)
0.576594 + 0.817031i \(0.304381\pi\)
\(618\) 27.3865 14.2854i 1.10165 0.574642i
\(619\) −13.6057 + 23.5658i −0.546860 + 0.947189i 0.451627 + 0.892207i \(0.350844\pi\)
−0.998487 + 0.0549827i \(0.982490\pi\)
\(620\) −9.35769 + 5.40267i −0.375814 + 0.216976i
\(621\) 11.1517 + 8.51301i 0.447500 + 0.341615i
\(622\) 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
\(626\) 16.5040i 0.659633i
\(627\) −27.2430 52.2275i −1.08798 2.08577i
\(628\) 13.3462i 0.532572i
\(629\) 27.6801i 1.10368i
\(630\) −10.0653 0.285146i −0.401012 0.0113605i
\(631\) −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
\(633\) −8.60673 + 13.5346i −0.342087 + 0.537952i
\(634\) −29.6571 −1.17783
\(635\) −12.9070 7.45186i −0.512199 0.295718i
\(636\) 20.7738 10.8360i 0.823734 0.429677i
\(637\) −9.18741 23.5073i −0.364018 0.931392i
\(638\) 4.61958i 0.182891i
\(639\) 9.64714 + 20.5992i 0.381635 + 0.814890i
\(640\) 1.26862i 0.0501467i
\(641\) 5.52077 3.18742i 0.218057 0.125895i −0.386993 0.922083i \(-0.626486\pi\)
0.605050 + 0.796187i \(0.293153\pi\)
\(642\) −14.2266 9.04677i −0.561478 0.357047i
\(643\) −21.5821 + 37.3812i −0.851113 + 1.47417i 0.0290911 + 0.999577i \(0.490739\pi\)
−0.880204 + 0.474595i \(0.842595\pi\)
\(644\) −3.92013 5.97183i −0.154475 0.235323i
\(645\) −6.70448 + 3.49719i −0.263989 + 0.137702i
\(646\) 33.0356 1.29977
\(647\) −21.2183 −0.834178 −0.417089 0.908866i \(-0.636950\pi\)
−0.417089 + 0.908866i \(0.636950\pi\)
\(648\) −3.10619 8.44699i −0.122023 0.331829i
\(649\) 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
\(653\) 34.5174 + 19.9286i 1.35077 + 0.779867i 0.988357 0.152152i \(-0.0486202\pi\)
0.362411 + 0.932018i \(0.381954\pi\)
\(654\) 15.4756 + 9.84101i 0.605143 + 0.384814i
\(655\) −5.18307 2.99245i −0.202519 0.116925i
\(656\) 5.24465i 0.204769i
\(657\) −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 0.953096 0.302667i \(-0.0978769\pi\)
0.214431 + 0.976739i \(0.431210\pi\)
\(660\) 0.484269 11.3065i 0.0188501 0.440107i
\(661\) 19.1960 0.746639 0.373319 0.927703i \(-0.378220\pi\)
0.373319 + 0.927703i \(0.378220\pi\)
\(662\) 27.3462 + 15.7883i 1.06284 + 0.613631i
\(663\) −6.67168 30.5223i −0.259107 1.18539i
\(664\) 9.22131i 0.357856i
\(665\) 9.96470 19.7974i 0.386415 0.767710i
\(666\) −1.41925 + 16.5377i −0.0549950 + 0.640824i
\(667\) 2.42176 0.0937710
\(668\) −14.6300 8.44665i −0.566053 0.326811i
\(669\) 12.2441 19.2545i 0.473383 0.744423i
\(670\) 14.6718 0.566823
\(671\) 24.0396i 0.928038i
\(672\) 0.0663661 + 4.58210i 0.00256013 + 0.176758i
\(673\) 10.3779 + 17.9751i 0.400039 + 0.692888i 0.993730 0.111805i \(-0.0356632\pi\)
−0.593691 + 0.804693i \(0.702330\pi\)
\(674\) −9.43507 + 16.3420i −0.363425 + 0.629471i
\(675\) 10.6904 14.0040i 0.411475 0.539013i
\(676\) −11.3073 + 6.41435i −0.434898 + 0.246706i
\(677\) −3.91466 6.78038i −0.150452 0.260591i 0.780941 0.624604i \(-0.214740\pi\)
−0.931394 + 0.364013i \(0.881406\pi\)
\(678\) −4.52851 2.87971i −0.173916 0.110594i
\(679\) −1.88148 32.8068i −0.0722046 1.25901i
\(680\) 5.49645 + 3.17338i 0.210779 + 0.121694i
\(681\) −3.46493 2.20337i −0.132776 0.0844333i
\(682\) 21.9337 + 37.9902i 0.839884 + 1.45472i
\(683\) −12.7341 22.0560i −0.487255 0.843951i 0.512637 0.858605i \(-0.328669\pi\)
−0.999893 + 0.0146544i \(0.995335\pi\)
\(684\) 19.7374 + 1.69385i 0.754679 + 0.0647659i
\(685\) −10.5676 6.10123i −0.403769 0.233116i
\(686\) −17.3864 6.38076i −0.663815 0.243618i
\(687\) 10.9942 17.2890i 0.419454 0.659616i
\(688\) 1.72068 + 2.98031i 0.0656004 + 0.113623i
\(689\) 47.1593 12.4446i 1.79663 0.474103i
\(690\) −5.92733 0.253873i −0.225650 0.00966477i
\(691\) −9.17151 + 15.8855i −0.348901 + 0.604314i −0.986054 0.166423i \(-0.946778\pi\)
0.637154 + 0.770737i \(0.280112\pi\)
\(692\) 0.256422 + 0.444137i 0.00974772 + 0.0168835i
\(693\) −1.15763 + 40.8631i −0.0439748 + 1.55226i
\(694\) 5.84190i 0.221755i
\(695\) −2.65738 −0.100800
\(696\) −1.31095 0.833640i −0.0496914 0.0315990i
\(697\) 22.7231 + 13.1192i 0.860698 + 0.496924i
\(698\) −8.29279 −0.313887
\(699\) −11.5511 7.34542i −0.436903 0.277829i
\(700\) −7.49928 + 4.92280i −0.283446 + 0.186064i
\(701\) 4.16816i 0.157429i 0.996897 + 0.0787147i \(0.0250816\pi\)
−0.996897 + 0.0787147i \(0.974918\pi\)
\(702\) −2.42107 18.5779i −0.0913774 0.701178i
\(703\) −31.6403 18.2676i −1.19334 0.688974i
\(704\) −5.15033 −0.194110
\(705\) 10.6079 + 0.454347i 0.399518 + 0.0171117i
\(706\) −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
\(709\) 18.5084i 0.695097i −0.937662 0.347549i \(-0.887014\pi\)
0.937662 0.347549i \(-0.112986\pi\)
\(710\) −8.33013 4.80940i −0.312624 0.180494i
\(711\) 17.6355 + 1.51347i 0.661384 + 0.0567594i
\(712\) 7.19534 + 4.15423i 0.269657 + 0.155686i
\(713\) 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
\(717\) 21.8701 + 41.9271i 0.816752 + 1.56580i
\(718\) −20.3919 −0.761020
\(719\) −10.0028 −0.373042 −0.186521 0.982451i \(-0.559721\pi\)
−0.186521 + 0.982451i \(0.559721\pi\)
\(720\) 3.12119 + 2.17779i 0.116320 + 0.0811613i
\(721\) 21.2131 42.1452i 0.790019 1.56957i
\(722\) −12.3019 + 21.3075i −0.457830 + 0.792984i
\(723\) 10.4853 16.4887i 0.389951 0.613222i
\(724\) −0.397570 + 0.229537i −0.0147756 + 0.00853068i
\(725\) 3.04119i 0.112947i
\(726\) −26.8671 1.15074i −0.997130 0.0427079i
\(727\) 27.8818i 1.03408i 0.855961 + 0.517040i \(0.172966\pi\)
−0.855961 + 0.517040i \(0.827034\pi\)
\(728\) −1.97279 + 9.33317i −0.0731164 + 0.345910i
\(729\) 26.1144 + 6.85838i 0.967201 + 0.254014i
\(730\) 0.463185 + 0.267420i 0.0171433 + 0.00989766i
\(731\) −17.2167 −0.636784
\(732\) −6.82198 4.33814i −0.252148 0.160342i
\(733\) −9.38772 16.2600i −0.346743 0.600577i 0.638925 0.769269i \(-0.279379\pi\)
−0.985669 + 0.168691i \(0.946046\pi\)
\(734\) 14.1857 + 8.19011i 0.523603 + 0.302302i
\(735\) −12.7348 + 8.62601i −0.469728 + 0.318175i
\(736\) 2.70000i 0.0995235i
\(737\) 59.5646i 2.19409i
\(738\) 12.9034 + 9.00326i 0.474982 + 0.331415i
\(739\) 5.49624i 0.202183i −0.994877 0.101091i \(-0.967767\pi\)
0.994877 0.101091i \(-0.0322334\pi\)
\(740\) −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 0.648791 0.760967i \(-0.275275\pi\)
−0.983412 + 0.181386i \(0.941942\pi\)
\(744\) −14.7390 0.631285i −0.540359 0.0231440i
\(745\) 8.46659 4.88819i 0.310192 0.179089i
\(746\) 7.06962 12.2449i 0.258837 0.448319i
\(747\) −22.6872 15.8298i −0.830082 0.579182i
\(748\) 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
\(751\) 10.2889 17.8210i 0.375449 0.650297i −0.614945 0.788570i \(-0.710822\pi\)
0.990394 + 0.138273i \(0.0441552\pi\)
\(752\) 4.83210i 0.176209i
\(753\) −39.1318 1.67605i −1.42604 0.0610786i
\(754\) −2.27808 2.29544i −0.0829627 0.0835949i
\(755\) 0.770139 0.0280282
\(756\) −11.3873 7.70259i −0.414151 0.280141i
\(757\) 1.82325 + 3.15796i 0.0662672 + 0.114778i 0.897255 0.441512i \(-0.145558\pi\)
−0.830988 + 0.556290i \(0.812224\pi\)
\(758\) 11.0527i 0.401454i
\(759\) −1.03067 + 24.0637i −0.0374109 + 0.873457i
\(760\) −7.25479 + 4.18856i −0.263159 + 0.151935i
\(761\) 45.9554i 1.66588i −0.553363 0.832940i \(-0.686656\pi\)
0.553363 0.832940i \(-0.313344\pi\)
\(762\) −9.41065 18.0412i −0.340912 0.653563i
\(763\) 27.9682 1.60398i 1.01252 0.0580680i
\(764\) −8.74352 + 5.04808i −0.316330 + 0.182633i
\(765\) −17.2430 + 8.07535i −0.623422 + 0.291965i
\(766\) −0.828157 0.478136i −0.0299225 0.0172758i
\(767\) −11.1992 + 41.1703i −0.404380 + 1.48657i
\(768\) 0.929420 1.46157i 0.0335375 0.0527398i
\(769\) 3.19274 + 5.52999i 0.115133 + 0.199417i 0.917833 0.396967i \(-0.129937\pi\)
−0.802700 + 0.596383i \(0.796604\pi\)
\(770\) −9.48643 14.4514i −0.341867 0.520793i
\(771\) −2.36308 0.101213i −0.0851043 0.00364509i
\(772\) −7.17088 + 4.14011i −0.258086 + 0.149006i
\(773\) 7.77765 4.49043i 0.279743 0.161510i −0.353564 0.935410i \(-0.615030\pi\)
0.633307 + 0.773901i \(0.281697\pi\)
\(774\) −10.2863 0.882760i −0.369733