Properties

Label 546.2.bn.e.173.11
Level $546$
Weight $2$
Character 546.173
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 173.11
Character \(\chi\) \(=\) 546.173
Dual form 546.2.bn.e.101.11

$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) 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 0.233793 0.972286i \(-0.424886\pi\)
−0.725128 + 0.688614i \(0.758219\pi\)
\(6\) −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 0.385094 + 0.922877i \(0.374169\pi\)
−0.991782 + 0.127937i \(0.959164\pi\)
\(18\) −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 −0.723563 0.690258i \(-0.757497\pi\)
0.236000 + 0.971753i \(0.424164\pi\)
\(24\) 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 0.426141 0.904657i \(-0.359873\pi\)
−0.570385 + 0.821377i \(0.693206\pi\)
\(30\) 1.94820 + 1.01622i 0.355692 + 0.185536i
\(31\) −4.25869 7.37627i −0.764883 1.32482i −0.940308 0.340324i \(-0.889463\pi\)
0.175425 0.984493i \(-0.443870\pi\)
\(32\) −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 −0.839163 0.543880i \(-0.816955\pi\)
0.0514322 + 0.998676i \(0.483621\pi\)
\(38\) −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 0.101476 0.994838i \(-0.467644\pi\)
−0.810817 + 0.585299i \(0.800977\pi\)
\(42\) 3.93503 + 2.34852i 0.607188 + 0.362385i
\(43\) 1.72068 + 2.98031i 0.262402 + 0.454493i 0.966880 0.255233i \(-0.0821521\pi\)
−0.704478 + 0.709726i \(0.748819\pi\)
\(44\) 2.57517 4.46032i 0.388221 0.672418i
\(45\) 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 0.162719 0.986672i \(-0.447973\pi\)
−0.773124 + 0.634255i \(0.781307\pi\)
\(48\) −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 0.619633 0.784891i \(-0.287281\pi\)
0.989553 0.144172i \(-0.0460520\pi\)
\(54\) 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 −0.348252 0.937401i \(-0.613225\pi\)
−0.985939 + 0.167105i \(0.946558\pi\)
\(60\) −0.0940267 2.19530i −0.0121388 0.283413i
\(61\) 4.66758i 0.597622i 0.954312 + 0.298811i \(0.0965901\pi\)
−0.954312 + 0.298811i \(0.903410\pi\)
\(62\) −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 \(-0.750293\pi\)
0.707757 0.706456i \(-0.249707\pi\)
\(68\) −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 0.998380 0.0568986i \(-0.0181212\pi\)
−0.548466 + 0.836173i \(0.684788\pi\)
\(72\) −1.71665 2.46030i −0.202310 0.289950i
\(73\) −0.210796 0.365109i −0.0246718 0.0427328i 0.853426 0.521214i \(-0.174521\pi\)
−0.878098 + 0.478481i \(0.841187\pi\)
\(74\) 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 −0.982886 0.184216i \(-0.941026\pi\)
0.650978 + 0.759096i \(0.274359\pi\)
\(80\) 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 \(-0.831092\pi\)
0.862484 0.506085i \(-0.168908\pi\)
\(84\) 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 −0.0675614 0.997715i \(-0.521522\pi\)
0.830266 + 0.557367i \(0.188189\pi\)
\(90\) 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 −0.987441 0.157985i \(-0.949500\pi\)
0.356901 0.934142i \(-0.383833\pi\)
\(98\) 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 −0.999670 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
\(107\) 8.42970 4.86689i 0.814930 0.470500i −0.0337349 0.999431i \(-0.510740\pi\)
0.848665 + 0.528931i \(0.177407\pi\)
\(108\) 2.00041 4.79566i 0.192489 0.461463i
\(109\) −9.16977 + 5.29417i −0.878305 + 0.507090i −0.870099 0.492877i \(-0.835945\pi\)
−0.00820581 + 0.999966i \(0.502612\pi\)
\(110\) 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 −0.368451 0.929647i \(-0.620112\pi\)
0.620873 + 0.783911i \(0.286778\pi\)
\(114\) −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 −0.478463 0.878108i \(-0.658806\pi\)
0.999695 0.0246926i \(-0.00786069\pi\)
\(128\) −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 −0.744389 0.667746i \(-0.767259\pi\)
0.950480 + 0.310787i \(0.100592\pi\)
\(132\) −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 −0.584098 0.811683i \(-0.698551\pi\)
0.994987 + 0.100002i \(0.0318848\pi\)
\(138\) 3.94624 2.50944i 0.335926 0.213617i
\(139\) 1.81406 1.04735i 0.153867 0.0888349i −0.421090 0.907019i \(-0.638352\pi\)
0.574956 + 0.818184i \(0.305019\pi\)
\(140\) −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 −0.521239 0.853411i \(-0.674530\pi\)
0.478456 + 0.878112i \(0.341197\pi\)
\(152\) 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 0.0380288 0.999277i \(-0.487892\pi\)
0.884413 + 0.466704i \(0.154559\pi\)
\(158\) 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 \(-0.799675\pi\)
0.808416 0.588612i \(-0.200325\pi\)
\(164\) 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 0.944464 0.328616i \(-0.106582\pi\)
0.187642 + 0.982237i \(0.439915\pi\)
\(168\) −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 \(-0.903112\pi\)
0.954032 0.299704i \(-0.0968879\pi\)
\(180\) −3.44661 1.61414i −0.256895 0.120311i
\(181\) 0.459074i 0.0341227i 0.999854 + 0.0170614i \(0.00543106\pi\)
−0.999854 + 0.0170614i \(0.994569\pi\)
\(182\) −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 \(0.119022\pi\)
−0.930903 + 0.365266i \(0.880978\pi\)
\(192\) 0.801045 1.53568i 0.0578104 0.110828i
\(193\) 8.28022i 0.596023i 0.954562 + 0.298011i \(0.0963234\pi\)
−0.954562 + 0.298011i \(0.903677\pi\)
\(194\) −6.21010 + 10.7562i −0.445859 + 0.772251i
\(195\) −7.73980 1.69179i −0.554258 0.121152i
\(196\) −6.95410 0.800271i −0.496722 0.0571622i
\(197\) −7.07350 + 12.2517i −0.503966 + 0.872895i 0.496023 + 0.868309i \(0.334793\pi\)
−0.999989 + 0.00458596i \(0.998540\pi\)
\(198\) 6.55307 13.9925i 0.465706 0.994405i
\(199\) 13.2715 + 7.66228i 0.940788 + 0.543164i 0.890207 0.455556i \(-0.150559\pi\)
0.0505810 + 0.998720i \(0.483893\pi\)
\(200\) −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 −0.661475 0.749967i \(-0.730069\pi\)
0.980228 + 0.197870i \(0.0634025\pi\)
\(212\) 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 −0.997771 0.0667312i \(-0.978743\pi\)
0.556676 + 0.830729i \(0.312076\pi\)
\(224\) 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 0.430316 0.902678i \(-0.358402\pi\)
−0.566584 + 0.824004i \(0.691735\pi\)
\(228\) 6.13725 + 9.65119i 0.406450 + 0.639166i
\(229\) −5.91454 + 10.2443i −0.390844 + 0.676961i −0.992561 0.121748i \(-0.961150\pi\)
0.601717 + 0.798709i \(0.294483\pi\)
\(230\) −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 0.258759 0.965942i \(-0.416686\pi\)
−0.707151 + 0.707063i \(0.750020\pi\)
\(234\) −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 −0.988510 0.151152i \(-0.951702\pi\)
0.625157 + 0.780499i \(0.285035\pi\)
\(242\) −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 −0.963469 0.267822i \(-0.913696\pi\)
0.249794 0.968299i \(-0.419637\pi\)
\(252\) −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 0.843944 0.536431i \(-0.180228\pi\)
−0.886535 + 0.462661i \(0.846895\pi\)
\(258\) −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 \(-0.891830\pi\)
0.942813 0.333323i \(-0.108170\pi\)
\(264\) −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 0.268807 + 0.963194i \(0.413371\pi\)
−0.968554 + 0.248803i \(0.919963\pi\)
\(270\) −0.844174 6.53767i −0.0513748 0.397870i
\(271\) −7.79637 13.5037i −0.473596 0.820292i 0.525947 0.850517i \(-0.323711\pi\)
−0.999543 + 0.0302249i \(0.990378\pi\)
\(272\) 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 0.306791 + 0.951777i \(0.400745\pi\)
−0.977658 + 0.210200i \(0.932589\pi\)
\(278\) −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 \(-0.957302\pi\)
0.991017 0.133737i \(-0.0426978\pi\)
\(284\) −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 −0.800084 0.599888i \(-0.795212\pi\)
0.119476 + 0.992837i \(0.461879\pi\)
\(294\) −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 0.950682 + 0.310168i \(0.100385\pi\)
−0.206727 + 0.978399i \(0.566281\pi\)
\(312\) 5.95036 1.89557i 0.336873 0.107316i
\(313\) −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
\(315\) 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 −0.0629121 0.998019i \(-0.520039\pi\)
0.895766 0.444526i \(-0.146628\pi\)
\(318\) −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 \(0.334470\pi\)
−0.496904 + 0.867806i \(0.665530\pi\)
\(332\) 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 0.629612 0.776910i \(-0.283214\pi\)
−0.358018 + 0.933715i \(0.616547\pi\)
\(348\) −0.0664792 1.55213i −0.00356366 0.0832032i
\(349\) 4.14640 7.18177i 0.221952 0.384431i −0.733449 0.679745i \(-0.762091\pi\)
0.955400 + 0.295313i \(0.0954240\pi\)
\(350\) 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 \(-0.802508\pi\)
0.813623 0.581393i \(-0.197492\pi\)
\(354\) 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 −0.460883 0.887461i \(-0.652467\pi\)
0.999005 0.0445941i \(-0.0141995\pi\)
\(360\) 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 \(0.140613\pi\)
−0.904006 + 0.427520i \(0.859387\pi\)
\(368\) 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 0.725270 0.688464i \(-0.241715\pi\)
−0.233592 + 0.972335i \(0.575048\pi\)
\(380\) 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 \(-0.992222\pi\)
0.999702 0.0244316i \(-0.00777760\pi\)
\(384\) −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 −0.439003 0.898485i \(-0.644668\pi\)
0.558609 + 0.829431i \(0.311335\pi\)
\(390\) 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 0.905853 + 0.423592i \(0.139231\pi\)
−0.0860853 + 0.996288i \(0.527436\pi\)
\(402\) 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 −0.999969 0.00786485i \(-0.997497\pi\)
0.506796 + 0.862066i \(0.330830\pi\)
\(410\) 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 −0.913851 0.406049i \(-0.866906\pi\)
0.808574 + 0.588394i \(0.200240\pi\)
\(420\) −2.97939 + 4.99206i −0.145379 + 0.243588i
\(421\) 9.35440i 0.455905i 0.973672 + 0.227953i \(0.0732032\pi\)
−0.973672 + 0.227953i \(0.926797\pi\)
\(422\) −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 0.0901401 0.995929i \(-0.471269\pi\)
0.907570 + 0.419901i \(0.137935\pi\)
\(434\) 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 −0.0758680 0.997118i \(-0.524173\pi\)
0.825595 + 0.564263i \(0.190839\pi\)
\(440\) 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 \(0.908869\pi\)
\(444\) −8.49670 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 0.898689 0.438587i \(-0.144521\pi\)
−0.829172 + 0.558993i \(0.811188\pi\)
\(450\) 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 −0.0528584 0.998602i \(-0.516833\pi\)
0.838386 + 0.545078i \(0.183500\pi\)
\(458\) 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 −0.00263775 0.999997i \(-0.500840\pi\)
0.864704 + 0.502283i \(0.167506\pi\)
\(462\) −20.2667 12.0957i −0.942892 0.562742i
\(463\) 7.17045i 0.333239i −0.986021 0.166620i \(-0.946715\pi\)
0.986021 0.166620i \(-0.0532852\pi\)
\(464\) 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 −0.951170 0.308668i \(-0.900117\pi\)
0.742899 + 0.669404i \(0.233450\pi\)
\(468\) 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 \(-0.970568\pi\)
0.995728 0.0923303i \(-0.0294316\pi\)
\(480\) −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 0.744151 0.668011i \(-0.232854\pi\)
−0.206439 + 0.978460i \(0.566187\pi\)
\(488\) 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 −0.00662258 0.999978i \(-0.502108\pi\)
−0.869318 + 0.494254i \(0.835441\pi\)
\(492\) −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 0.0655891 0.997847i \(-0.479107\pi\)
−0.831366 + 0.555725i \(0.812441\pi\)
\(500\) −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 0.927094 0.374829i \(-0.122299\pi\)
−0.788159 + 0.615472i \(0.788965\pi\)
\(504\) 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 −0.777181 0.629278i \(-0.783351\pi\)
0.156380 + 0.987697i \(0.450018\pi\)
\(510\) −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 0.600445 0.799666i \(-0.294990\pi\)
−0.992754 + 0.120168i \(0.961657\pi\)
\(522\) 2.20676 1.53975i 0.0965874 0.0673930i
\(523\) 13.2622 7.65695i 0.579917 0.334815i −0.181184 0.983449i \(-0.557993\pi\)
0.761100 + 0.648634i \(0.224660\pi\)
\(524\) 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 0.566506 0.824058i \(-0.308295\pi\)
−0.430402 + 0.902637i \(0.641628\pi\)
\(542\) −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 −0.923908 0.382614i \(-0.875024\pi\)
0.793308 + 0.608821i \(0.208357\pi\)
\(564\) −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 −0.614383 0.789008i \(-0.710595\pi\)
0.376110 + 0.926575i \(0.377261\pi\)
\(570\) 12.8646 + 6.71044i 0.538839 + 0.281069i
\(571\) −8.90567 15.4251i −0.372691 0.645519i 0.617288 0.786737i \(-0.288231\pi\)
−0.989978 + 0.141218i \(0.954898\pi\)
\(572\) 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 0.902174 0.431372i \(-0.141970\pi\)
−0.824666 + 0.565620i \(0.808637\pi\)
\(578\) −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 0.999721 + 0.0236021i \(0.00751349\pi\)
0.520301 + 0.853983i \(0.325820\pi\)
\(588\) −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 −0.0780852 0.996947i \(-0.524881\pi\)
−0.902424 + 0.430850i \(0.858214\pi\)
\(594\) −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 −0.342837 0.939395i \(-0.611388\pi\)
0.642121 + 0.766603i \(0.278055\pi\)
\(600\) −5.86731 + 0.251302i −0.239532 + 0.0102594i
\(601\) 12.8550 + 7.42186i 0.524368 + 0.302744i 0.738720 0.674013i \(-0.235431\pi\)
−0.214352 + 0.976756i \(0.568764\pi\)
\(602\) −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 \(-0.814049\pi\)
0.834164 0.551517i \(-0.185951\pi\)
\(608\) −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 \(0.0965965\pi\)
−0.954306 + 0.298830i \(0.903403\pi\)
\(614\) 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 0.576594 0.817031i \(-0.304381\pi\)
−0.995866 + 0.0908296i \(0.971048\pi\)
\(618\) 27.3865 + 14.2854i 1.10165 + 0.574642i
\(619\) −13.6057 23.5658i −0.546860 0.947189i −0.998487 0.0549827i \(-0.982490\pi\)
0.451627 0.892207i \(-0.350844\pi\)
\(620\) −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 −0.888189 0.459478i \(-0.848037\pi\)
−0.0461755 + 0.998933i \(0.514703\pi\)
\(632\) −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 0.605050 0.796187i \(-0.293153\pi\)
−0.386993 + 0.922083i \(0.626486\pi\)
\(642\) −14.2266 + 9.04677i −0.561478 + 0.357047i
\(643\) −21.5821 37.3812i −0.851113 1.47417i −0.880204 0.474595i \(-0.842595\pi\)
0.0290911 0.999577i \(-0.490739\pi\)
\(644\) −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 0.362411 0.932018i \(-0.381954\pi\)
0.988357 + 0.152152i \(0.0486202\pi\)
\(654\) 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 0.214431 0.976739i \(-0.431210\pi\)
0.953096 + 0.302667i \(0.0978769\pi\)
\(660\) 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 −0.593691 0.804693i \(-0.702330\pi\)
0.993730 + 0.111805i \(0.0356632\pi\)
\(674\) −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 −0.931394 0.364013i \(-0.881406\pi\)
0.780941 + 0.624604i \(0.214740\pi\)
\(678\) −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 −0.999893 0.0146544i \(-0.995335\pi\)
0.512637 + 0.858605i \(0.328669\pi\)
\(684\) 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 0.637154 0.770737i \(-0.280112\pi\)
−0.986054 + 0.166423i \(0.946778\pi\)
\(692\) 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 \(-0.974918\pi\)
0.996897 0.0787147i \(-0.0250816\pi\)
\(702\) −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 \(0.112986\pi\)
−0.937662 + 0.347549i \(0.887014\pi\)
\(710\) −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 \(-0.827034\pi\)
0.855961 0.517040i \(-0.172966\pi\)
\(728\) −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 −0.985669 0.168691i \(-0.946046\pi\)
0.638925 + 0.769269i \(0.279379\pi\)
\(734\) 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 \(0.0322334\pi\)
−0.994877 + 0.101091i \(0.967767\pi\)
\(740\) −3.50954 + 6.07870i −0.129013 + 0.223458i
\(741\) 39.2921 12.5171i 1.44343 0.459826i
\(742\) 16.0910 + 31.9689i 0.590720 + 1.17361i
\(743\) −9.12112 + 15.7982i −0.334621 + 0.579581i −0.983412 0.181386i \(-0.941942\pi\)
0.648791 + 0.760967i \(0.275275\pi\)
\(744\) −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 0.990394 0.138273i \(-0.0441552\pi\)
−0.614945 + 0.788570i \(0.710822\pi\)
\(752\) 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 −0.830988 0.556290i \(-0.812224\pi\)
0.897255 + 0.441512i \(0.145558\pi\)
\(758\) 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 \(0.313344\pi\)
−0.553363 + 0.832940i \(0.686656\pi\)
\(762\) −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 −0.802700 0.596383i \(-0.796604\pi\)
0.917833 + 0.396967i \(0.129937\pi\)
\(770\) −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 0.633307 0.773901i \(-0.281697\pi\)
−0.353564 + 0.935410i \(0.615030\pi\)
\(774\) −10.2863 + 0.882760i −0.369733 + 0.0317302i